diff --git a/legacy/packages/diffbot/src/diffbot-client.ts b/legacy/packages/diffbot/src/diffbot-client.ts
index 001eb786..eb7af8ce 100644
--- a/legacy/packages/diffbot/src/diffbot-client.ts
+++ b/legacy/packages/diffbot/src/diffbot-client.ts
@@ -321,7 +321,6 @@ export namespace diffbot {
     size: z
       .number()
       .int()
-      .positive()
       .max(100)
       .optional()
       .describe('Number of results to return')
diff --git a/legacy/packages/hacker-news/src/hacker-news-client.ts b/legacy/packages/hacker-news/src/hacker-news-client.ts
index d3bbddde..110b3f0b 100644
--- a/legacy/packages/hacker-news/src/hacker-news-client.ts
+++ b/legacy/packages/hacker-news/src/hacker-news-client.ts
@@ -190,16 +190,10 @@ export namespace hackernews {
       .describe(
         'Filter by numeric range (created_at_i, points, or num_comments); (created_at_i is a timestamp in seconds). Ex: numericFilters=points>100,num_comments>=1000'
       ),
-    page: z
-      .number()
-      .int()
-      .nonnegative()
-      .optional()
-      .describe('Page number to return'),
+    page: z.number().int().optional().describe('Page number to return'),
     hitsPerPage: z
       .number()
       .int()
-      .positive()
       .optional()
       .describe('Number of results to return per page (defaults to 50)'),
     sortBy: hackernews.searchSortBySchema
diff --git a/legacy/packages/hunter/src/hunter-client.ts b/legacy/packages/hunter/src/hunter-client.ts
index 2c13ba0a..f981d135 100644
--- a/legacy/packages/hunter/src/hunter-client.ts
+++ b/legacy/packages/hunter/src/hunter-client.ts
@@ -43,8 +43,8 @@ export namespace hunter {
   export const DomainSearchOptionsSchema = z.object({
     domain: z.string().optional().describe('domain to search for'),
     company: z.string().optional().describe('company name to search for'),
-    limit: z.number().int().positive().optional(),
-    offset: z.number().int().nonnegative().optional(),
+    limit: z.number().int().optional(),
+    offset: z.number().int().optional(),
     type: z.enum(['personal', 'generic']).optional(),
     seniority: z.union([SenioritySchema, z.array(SenioritySchema)]).optional(),
     department: z
@@ -61,7 +61,7 @@ export namespace hunter {
     company: z.string().optional().describe('company name to search for'),
     first_name: z.string().describe("person's first name"),
     last_name: z.string().describe("person's last name"),
-    max_duration: z.number().int().positive().min(3).max(20).optional()
+    max_duration: z.number().int().min(3).max(20).optional()
   })
   export type EmailFinderOptions = z.infer<typeof EmailFinderOptionsSchema>
 
diff --git a/legacy/packages/perigon/src/perigon-client.ts b/legacy/packages/perigon/src/perigon-client.ts
index a4c2b1c3..e0c56e5f 100644
--- a/legacy/packages/perigon/src/perigon-client.ts
+++ b/legacy/packages/perigon/src/perigon-client.ts
@@ -245,7 +245,6 @@ export namespace perigon {
     page: z
       .number()
       .int()
-      .positive()
       .max(10_000)
       .default(0)
       .optional()
@@ -253,7 +252,6 @@ export namespace perigon {
     size: z
       .number()
       .int()
-      .positive()
       .max(DEFAULT_PAGE_SIZE)
       .optional()
       .describe('Number of results to return per page')
@@ -329,7 +327,6 @@ export namespace perigon {
     size: z
       .number()
       .int()
-      .positive()
       .max(DEFAULT_PAGE_SIZE)
       .optional()
       .describe('Number of results to return per page')
@@ -375,13 +372,11 @@ export namespace perigon {
     numEmployeesFrom: z
       .number()
       .int()
-      .positive()
       .optional()
       .describe('Minimum number of employees.'),
     numEmployeesTo: z
       .number()
       .int()
-      .positive()
       .optional()
       .describe('Maximum number of employees.'),
     ipoFrom: z
@@ -395,7 +390,6 @@ export namespace perigon {
     size: z
       .number()
       .int()
-      .positive()
       .max(DEFAULT_PAGE_SIZE)
       .optional()
       .describe('Number of results to return per page')
diff --git a/legacy/packages/predict-leads/src/predict-leads-client.ts b/legacy/packages/predict-leads/src/predict-leads-client.ts
index 8313e697..60e06df0 100644
--- a/legacy/packages/predict-leads/src/predict-leads-client.ts
+++ b/legacy/packages/predict-leads/src/predict-leads-client.ts
@@ -332,11 +332,10 @@ export namespace predictleads {
       .string()
       .optional()
       .describe('Signals found until specified date (ISO 8601).'),
-    page: z.number().int().positive().default(1).optional(),
+    page: z.number().int().default(1).optional(),
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional(),
@@ -368,7 +367,6 @@ export namespace predictleads {
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional(),
@@ -407,7 +405,6 @@ export namespace predictleads {
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional()
@@ -422,7 +419,6 @@ export namespace predictleads {
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional()
@@ -436,7 +432,6 @@ export namespace predictleads {
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional()
@@ -450,7 +445,6 @@ export namespace predictleads {
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional()
@@ -465,7 +459,6 @@ export namespace predictleads {
     limit: z
       .number()
       .int()
-      .positive()
       .max(MAX_PAGE_SIZE)
       .default(DEFAULT_PAGE_SIZE)
       .optional()
diff --git a/legacy/packages/serpapi/src/serpapi-client.ts b/legacy/packages/serpapi/src/serpapi-client.ts
index 9a461082..a006cd0a 100644
--- a/legacy/packages/serpapi/src/serpapi-client.ts
+++ b/legacy/packages/serpapi/src/serpapi-client.ts
@@ -674,7 +674,6 @@ export class SerpAPIClient extends AIFunctionsProvider {
       num: z
         .number()
         .int()
-        .positive()
         .default(5)
         .optional()
         .describe('number of results to return')
diff --git a/legacy/packages/serper/src/serper-client.ts b/legacy/packages/serper/src/serper-client.ts
index fd4d7f4e..acb1f115 100644
--- a/legacy/packages/serper/src/serper-client.ts
+++ b/legacy/packages/serper/src/serper-client.ts
@@ -16,11 +16,10 @@ export namespace serper {
     autocorrect: z.boolean().default(true).optional(),
     gl: z.string().default('us').optional(),
     hl: z.string().default('en').optional(),
-    page: z.number().int().positive().default(1).optional(),
+    page: z.number().int().default(1).optional(),
     num: z
       .number()
       .int()
-      .positive()
       .default(10)
       .optional()
       .describe('number of results to return')
diff --git a/legacy/packages/wolfram-alpha/src/wolfram-alpha-client.ts b/legacy/packages/wolfram-alpha/src/wolfram-alpha-client.ts
index 0506effe..a07f6d55 100644
--- a/legacy/packages/wolfram-alpha/src/wolfram-alpha-client.ts
+++ b/legacy/packages/wolfram-alpha/src/wolfram-alpha-client.ts
@@ -16,7 +16,6 @@ export namespace wolframalpha {
     maxchars: z
       .number()
       .int()
-      .positive()
       .default(6000)
       .optional()
       .describe('max characters to generate in the response')