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)? 2, 11 Suppose 0*x - x = 3*u - 2362, -2*u = 5*x - 1566. List the prime factors of u. 2, 197 Let o(j) = -j**3 + 35*j**2 - 19*j - 97. List the prime factors of o(34). 7, 59 Let h(v) = -v - 12. Let y be h(-9). Let i = y - 3. List the prime factors of 14/(-21) - 136/i. 2, 11 Let q be (94/(-6))/((-1)/6). Suppose 7*u = 5*u - q. Let y = -23 - u. List the prime factors of y. 2, 3 Let y(z) be the second derivative of -z**5/20 - 5*z**4/4 + 7*z**3/2 - 27*z**2/2 - 4*z + 4. List the prime factors of y(-17). 2, 97 Suppose -12*a + 9652 = 1996. What are the prime factors of a? 2, 11, 29 Let g = 38 + 71. Let x = g + -47. List the prime factors of x. 2, 31 Suppose n + 39 = l, 0*n - 2*n - 114 = -3*l. Let v = -26 + l. Let m(x) = x**3 - 10*x**2 + x + 4. What are the prime factors of m(v)? 2, 7 Let w be -7 - -9 - (-8)/(-2). Let p(u) = -4*u**3 - u**2 + 3*u + 2. What are the prime factors of p(w)? 2, 3 List the prime factors of ((-129)/(-21) - 8/56) + 2386. 2, 13, 23 Let i be (6/(-8))/(14/3304). List the prime factors of (i/12)/(4/(-16)). 59 Let h = 304 + 201. What are the prime factors of h? 5, 101 Let n = 449 - 296. Let b = n + -89. Suppose 0 = -u - u + b. List the prime factors of u. 2 Suppose 4*x = 3*j - 13447, -5*j - 28*x = -29*x - 22440. List the prime factors of j. 67 Let z(v) = 4 - 6*v**2 + 8*v**2 + 0 - 5*v - v. What are the prime factors of z(4)? 2, 3 Suppose -240*t - 54972 = -252*t. What are the prime factors of t? 3, 509 Suppose 4*b - 5*a - 3092 = 0, 7*a - 3060 = -4*b + 4*a. List the prime factors of b. 2, 3 Let l be ((-6)/(-9))/(64/30 + -2). Let k = -14 + 33. Let n = k + l. What are the prime factors of n? 2, 3 Let l = 2 + 5. Suppose 5*y + l - 127 = 0. List the prime factors of -3 + 11/(11/y). 3, 7 Let z(l) = 69*l**2 + 15*l + 7. List the prime factors of z(-6). 7 Suppose -47*v = -40*v + 980. Let i = 177 + v. What are the prime factors of i? 37 List the prime factors of 4309 - 24 - (0 - 9). 2, 19, 113 Suppose 5 + 0 = 2*s + 5*k, 2*s = k + 11. Suppose 3*m - 167 = s*q, 220 = m + 3*m - 4*q. Let x = 87 - m. What are the prime factors of x? 3, 11 Let j(v) = -5*v - 35. Let z(m) = 3*m + 23. Let g(q) = 5*j(q) + 8*z(q). List the prime factors of g(6). 3 Let b be 806 - (-7 + 12)*(-2)/(-5). Suppose -2*o + 392 = -2*d - 2*d, 4*o = 4*d + b. What are the prime factors of o? 2, 103 Let r(u) = u - 8. Let p be r(9). Let q = p + 24. List the prime factors of q. 5 Suppose -6 = -f - 2. Suppose 0 = -0*u + f*u - 160. Suppose -3*k + 5*d = -4*k + u, 4*k - 130 = -5*d. What are the prime factors of k? 2, 3, 5 Suppose -2*t + 4*h = -316, 4*t - 2*h + 0*h - 662 = 0. Let k = t - -1. List the prime factors of k. 13 Suppose 4*p + 0 = 4*b - 4, 3*p = 5*b - 11. Suppose -33 - b = 4*l - 3*v, -5*v = l - 8. Let q = 14 + l. List the prime factors of q. 7 Let b = 173 + 39. List the prime factors of b. 2, 53 Suppose 2*s - 30 = -3*j, 4*s - 3*s - 2*j - 1 = 0. Let y(m) = 8*m + 2. What are the prime factors of y(s)? 2, 37 Suppose -528 = -3*h - 5*w + 1150, 0 = -h + w + 570. List the prime factors of h. 2, 283 Let r = -33 - -41. Suppose 2 = -r*u + 34. Suppose -2*j + 275 = 5*v, v - 4*j + 179 = u*v. What are the prime factors of v? 53 Suppose 94*k - 1684 = 90*k. What are the prime factors of k? 421 Suppose -20 = -8*c + 4*c. Suppose 251 + 269 = c*w. List the prime factors of w. 2, 13 Let l(c) = -12*c - 60. Let f be l(-6). Let o(u) = 9*u + 1. Let i be o(3). Let s = i - f. List the prime factors of s. 2 Suppose -775 = -3*g + b + 63, -g + 276 = -2*b. Suppose -g = -4*s + 472. List the prime factors of s. 2, 47 Suppose -4*t + 1 = -7. Suppose -4*j + 3*m + 71 = -t*j, 3*m + 15 = 0. Suppose j + 44 = 4*p. What are the prime factors of p? 2, 3 Let j = -9 + 10. Let r be (0*1/4)/j. Suppose 3*u + r*g - 2*g = 110, 0 = 2*u - g - 72. What are the prime factors of u? 2, 17 Let v = -29 + 53. Suppose -90 - v = -2*c. What are the prime factors of c? 3, 19 Let p = -22 - -27. Suppose x + p*c = 3, 4*x - 81 = c + 2*c. What are the prime factors of x? 2, 3 Suppose 10*c + 1520 = 5320. What are the prime factors of c? 2, 5, 19 Suppose 681 = 5*y - 9. Suppose 138 = 3*k - y. What are the prime factors of k/5 + (-4)/10? 2, 3 Let a(d) = d**3 - 19*d**2 - 11*d - 14. Let g(h) = 3*h**3 - 39*h**2 - 22*h - 28. Let x(f) = -5*a(f) + 2*g(f). List the prime factors of x(-16). 2, 47 Suppose -838 - 1221 = -3*o - 5*q, 0 = -4*o + 4*q + 2724. What are the prime factors of o? 683 Suppose 24 - 3 = -3*q. Let x be 9 - (-3 - 0 - q). Suppose x*z - 169 = 101. List the prime factors of z. 2, 3 Let i = -23 - -18. Let r(v) = -27*v - 15. What are the prime factors of r(i)? 2, 3, 5 Let t(z) = 11*z**2 - 11*z - 61. List the prime factors of t(11). 3, 383 Let k(f) = 65*f**2 + 3*f - 2. Suppose 4*n + 16 = 5*a, -a - 2*a + 8 = -4*n. What are the prime factors of k(n)? 2, 3, 11 Suppose -8620 + 2185 = -5*u. What are the prime factors of u? 3, 11, 13 Suppose -124 = -3*g - a - 0*a, 0 = 4*a - 16. List the prime factors of (-7)/((-70)/24)*g. 2, 3 Suppose 12*a - 18740 = 2272. What are the prime factors of a? 17, 103 Let d be -36*(-4)/(-4) - 4. Let t = d + 58. List the prime factors of t. 2, 3 Suppose -11*b - 105 = -4*b. List the prime factors of 3/b + 422/10. 2, 3, 7 Let y be (-9956)/(-30) + (-292)/60 + 5. Let k = -122 + y. What are the prime factors of k? 2, 3, 5, 7 Let l be 37 + -3*2/2. Suppose -374 = -4*n + 2*z, n = 5*z + l + 46. What are the prime factors of n? 5, 19 Let d = -20 - -372. List the prime factors of d. 2, 11 List the prime factors of ((-12)/8)/((-3)/902). 11, 41 List the prime factors of 15/((-150)/(-40)) + (-1 - -722). 5, 29 Let l = 4682 + -3142. What are the prime factors of l? 2, 5, 7, 11 Let a be -155 - -2*2/(-4). Let c = a - -221. What are the prime factors of c? 5, 13 List the prime factors of ((-4614)/(-24))/(18/16 - 1). 2, 769 Suppose 2*x - 5*x = -99. Let s = x - 28. Suppose -63 = -4*t - 3*l, -4*l - 33 - 7 = -s*t. What are the prime factors of t? 2, 3 Suppose 3*h - 3*p - 171 = 2*h, -5*h - p + 871 = 0. Suppose 2*s - 4*c = 254, -310 = -4*s + 2*c + h. What are the prime factors of s? 7, 17 Suppose 48 = r - 0*r. Suppose 5*p = l - 0*l + 49, -r = -4*p + 3*l. Suppose 5*y - 5 = -p*g + 4*g, 0 = 2*g + 5*y + 4. What are the prime factors of g? 3 Let s(b) = b**2 + 2 - 4*b + 7 + 3*b + 10*b. Let a be s(-8). List the prime factors of 24 - (3/3)/a. 23 Suppose 0 = 3*d + k - 4 - 11, -d - 3*k + 5 = 0. Let u be 11*-1 + (2 - d). Let j = -11 - u. What are the prime factors of j? 3 Let y = 136 - -49. List the prime factors of y. 5, 37 Let t(f) = 10*f - 2. Let k be t(-1). Let p = k + 15. Suppose 0 = -2*c - p*j + 38, -5*j = -5 - 5. List the prime factors of c. 2 Suppose -12*s + 861 = -7*s + 4*h, -s + 175 = -2*h. What are the prime factors of s? 173 Let u be ((-1)/3)/((-1)/(-1 + 1084)). Suppose 5*t = 3*n - u + 90, n - 77 = -t. What are the prime factors of n? 2, 41 Suppose -4*q + 72 = 2*g + 2*g, g + 2*q = 18. Let o = 25 - g. What are the prime factors of o? 7 Let l(q) = -3233*q + 10. List the prime factors of l(-1). 3, 23, 47 Let g = 151 - 217. Let v = 144 + g. What are the prime factors of v? 2, 3, 13 Let s = 21 + 40. Suppose -j + 40 = a, 20 + s = 2*j + 3*a. List the prime factors of j. 3, 13 Suppose 0 = -29*j + 32*j - 384. Suppose 13*s = 9*s + j. List the prime factors of s. 2 List the prime factors of ((-206)/(-3))/(12 + (-12958)/1083). 19, 103 Suppose 0 = 16*q - 11*q - 15. Suppose 5*v = 2*x + 1043, -6*v + 623 = -q*v - 4*x. What are the prime factors of v? 11, 19 Suppose 0 = -0*h - 7*h - 420. What are the prime factors of -3 - ((-136)/(-12))/(8/h)? 2, 41 Suppose k = -5*f + 23, 0 = -3*f + 2*k - 3*k + 13. Suppose -u - f - 4 = 0. Let s = 40 + u. List the prime factors of s. 31 Let d(z) = -37*z - 111. List the prime factors of d(-11). 2, 37 Let j = 995 - -889. List the prime factors of j. 2, 3, 157 Suppose -2*h = -11 + 19. List the prime factors of (h - -1) + 4 - -69. 2, 5, 7 Suppose k - 2153 = -5*c, -5*c = -4*k + 5561 + 3126. What are the prime factors of k? 2, 271 Let b be (0 + -2 + 3)*2. Let k(a) = -a + 4. Let r be k(b). What are the prime factors of (2 + 29)*2/r? 31 List the prime factors of (148/(-10))/(16/(-680)). 17, 37 Let y(x) = -x**3 - 8*x**2 - 5*x - 3. Let w be y(-7). Let b be (-2)/(-8) + (-369)/(-12). Let m = b + w. What are the prime factors of m? 2, 7 Suppose 3*b
{ "pile_set_name": "DM Mathematics" }
+ -10003. Is f at most 10368? True Let y = 17 + -17.7. Let p = -2841 + 2732.94. Let q = p - -108. Which is smaller: q or y? y Let i be ((-6)/26)/((-524)/52 + 10). Is i bigger than 75? False Let j be (-24)/156*(-156)/(-24). Let v = -77873/244 + 1277/4. Let p = 211/1525 - v. Which is bigger: p or j? p Let c(w) = 3*w**2 - 28*w + 7. Let g be c(8). Suppose -23 = 4*k - 3*k. Is g greater than or equal to k? False Let d be 2 - 0 - 552/266. Let q = 1972/1463 + d. Let r = -21/55 - -97/110. Which is smaller: r or q? r Let c = 6810 + -6825. Is 0 at most as big as c? False Let u(a) = 5*a**2 + 137*a + 31. Let k be u(-29). Suppose 0 = 261*c - k*c + 2. Which is greater: -3/404 or c? c Let g = -2735054/95 - -28790. Let l be ((-15)/6 + 2)*2. Is g <= l? False Let d = -4275 + 1145. Is d greater than -3130? False Let x(v) = -v**3 - 36*v**2 - 254*v + 33. Let b be x(-27). Which is bigger: b or 324? b Suppose 629 = 13*b + 1349 + 619. Which is smaller: -105 or b? -105 Let z = -12168.5 - -12168.5. Let t = -437 - -620. Which is bigger: z or t? t Let x = 4/4295 + 183929/811755. Which is greater: 0 or x? x Let t be ((-370)/333)/(8/(-6))*6/(-10840). Which is smaller: t or 1? t Let x = 199 + -199. Suppose b - 2*c - 7 - 6 = 0, x = 2*b + 2*c - 14. Suppose -6 = -3*r + 2*r. Are r and b equal? False Suppose -4*x - x = 4*x - 6*x. Which is greater: -3/1475 or x? x Let h(g) = 9*g - 34. Let x = -48 - -56. Let m be h(x). Suppose 7*a = 185 - m. Which is smaller: a or 20? 20 Let w = 96 - 11. Let l be (-4 + w/20)*-4. Let q be (l/(-15))/((-6)/15). Which is greater: q or -1? q Let t = -1273 - -1253. Is t at least -199? True Suppose 0 = 8*v - 15 - 25. Suppose 9*o - 13*o = v*g - 16, -g = -4*o + 16. Suppose 3*q + 6 = o*n, 5*n + 1 - 3 = q. Is 5 at most as big as n? False Suppose -31 + 16 = -5*z. Suppose 3*p + d = 4*d, p = z*d - 4. Suppose -4 - 1 = p*t - 3*g, -4*t - g + 11 = 0. Is t <= 6/5? False Let b = 1.64 + 322.36. Let l = -312 + b. Which is smaller: 0.03 or l? 0.03 Let l be (28/(-16))/7 - 521455/100. Let b = 5160 + l. Which is bigger: b or -54? -54 Let q(n) = -12*n + 4*n + 105 + 0*n. Let s be q(14). Which is smaller: 3 or s? s Let b = 14346 + -114767/8. Which is bigger: b or 27/13? 27/13 Let p = 20835 + -1041873/50. Let v = p - -14683/6050. Which is greater: v or -1? v Let q be (287/(-147) + 2)*9 + 128/28. Is q at most -820? False Suppose -57 - 59 = -2*s. Let b = 51 - s. Let w be 3 - (b/(-2) - 1). Which is bigger: w or -2/5? w Let j = -6956 - -6953. Which is smaller: j or 505? j Let n = -3263 + 61979/19. Suppose 3*b + 3 = 3*f, 4*f + 4*b - 9 - 27 = 0. Let m = 3 - f. Which is bigger: n or m? n Let h(j) = -90*j + 25. Let x be h(1). Let v = 64 + x. Which is bigger: -8 or v? v Let z be -1 - -5 - 1624/319. Suppose 4*m + 23 = k, 12*m - 16 = 15*m - k. Is m less than z? True Let i(f) = 39*f + 920. Let n be i(-27). Let u(d) = 2*d**3 + 8*d**2 - 2*d. Let c be u(-6). Which is smaller: n or c? n Suppose -7*z = -8*z - 14. Are -140/11 and z unequal? True Suppose -2*f + 155 = 4*q + 135, 0 = -2*q - 3*f + 2. Is q less than or equal to 8? True Let n = -16262 + 16261. Is 1/1074 smaller than n? False Let v be (-104)/195 + -1 + 4 + (-70)/30. Is v at most as big as 2.58? True Suppose 4*v + 2*z - 28 = 6, 5*v - 3*z = 37. Suppose 3*r = 5*w - 18, w + 17 = -2*r - v. Which is bigger: r or -10? -10 Let w(f) = -f - 8. Let v be w(-10). Suppose 3*m + 2*q = 2, m = 3*q - 8*q - 21. Suppose 6 = 5*h - v*z, -2*h - m - 2 = -5*z. Is 2 at most h? True Let h = 232/77 - 30/11. Suppose -3*p = -4*x + 379, 26*x - 123 = p + 28*x. Is p not equal to h? True Suppose 4*o - p = -820, 2*o = 42*p - 46*p - 410. Which is smaller: -2247/11 or o? o Let n = 2287 + -2340. Which is bigger: n or -701/13? n Suppose 15*s = 2474 - 644. Suppose 0 = 3*x - 0*x - 2*o - s, 5*o = 5*x - 195. Do 44 and x have the same value? True Let b = 13922/19475 + 4/779. Suppose 637*f = -42*f + 186*f. Which is greater: b or f? b Let f be (-9 + 3)*(-20)/(-3). Let r = -36 - f. Suppose 0 = -r*z - 5 - 11. Which is bigger: -1/2 or z? -1/2 Let b(x) = x**3 - 8*x**2 - 19*x - 14. Let a be b(10). Let o be ((-3)/(-52))/(5/a). Are 0 and o equal? False Let c = 61 - 67. Let d be (30/(-9))/2 - 4/c. Let n be (d/6*-4)/(-24). Which is greater: 1 or n? 1 Let l be 2/7 + 5/((-105)/6). Suppose -w - 2*w = l, -45 = -3*m - 3*w. Let s = -15 + m. Is 4/5 <= s? False Let z = 0.068 - -0.332. Let p = 20 + -19.89. Let w = p + -4.11. Which is bigger: z or w? z Let a(s) = 7*s - 46. Let h be a(7). Suppose h*m = -2*f, m = -2*f + 13 - 5. Let t be (5/((-135)/(-3)))/((-5)/f). Which is smaller: -1 or t? -1 Let a = -37165 + 186626/5. Let s = -5437/35 + a. Suppose -4 = -4*f, 5*f - 3*f = 4*m - 22. Which is smaller: m or s? s Let y(o) = 2*o**2 + 21*o + 21. Let f be y(-10). Suppose -14*d + f*d = -3. Is 1/153 < d? True Let i = -179.8743 - -0.3743. Is i > 1? False Let k(b) = 13*b - 224. Let g = -55 - -81. Let y be k(g). Which is smaller: y or 113? 113 Let a = -3.744 + 3.24. Let x = a + 0.414. Do 3/20 and x have different values? True Let x be 5/(10/(-2)*1). Which is bigger: x or -2/6293? -2/6293 Let z = -2679 + 2680. Does z = 2/5589? False Let p = 687.5213329 + -1.6812329. Let r = -0.1599 - p. Is 1 greater than or equal to r? True Let f(r) = -r**3 + 4*r - 1. Suppose 15*n = 7 + 23. Let u be f(n). Let l = 3.2 + -113.2. Is l > u? False Let f = 5.467 + -5.624. Let a = -33.8 + 34. Is a >= f? True Let s = 847475/189 - 4484. Which is greater: 1/7 or s? 1/7 Let p(z) = 121*z + 2993. Let b be p(-27). Which is smaller: b or -277? -277 Let a be 8040/(-2214) + 4 - (-2)/(-9). Let d(c) = c**3 + 3*c**2 - 5*c - 5. Let p be d(-4). Is p less than or equal to a? True Let f(i) = 3*i + 3*i**2 - 114*i**3 - 2*i - 5*i + 6*i**3 - 6. Let o be f(-1). Is -2 <= o? True Let w = -2189 - 8685. Which is smaller: w or 1? w Let b(i) = -6*i - 232 + 236 + i**3 - 5*i**2 - i. Let u be b(6). Let o be (45/10)/((-1)/u - 0). Is o at most 9? True Let d = -1.21 + 30.31. Let h = -40936 + 40937. Is d bigger than h? True Let a be 85215/(-42294) + 1/14. Is a greater than -3? True Let i be -1 - -257*(-3)/(10029/(-13)). Let d = i + -83559/26744. Let u = 3 + d. Is 1 > u? True Let p(k) = -14*k**3 - 12*k**2 + 323*k + 15. Let m be p(12). Which is smaller: m or -22030? -22030 Let q = 18.966 - 6314.966. Which is smaller: q or 1? q Let q be (0/((-54)/9))/(2/2). Is q bigger than 16/13? False Let r = -1 - -2. Let z = 1613/4922 - 5/214. Which is greater: z or r? r Let l = 1 + -14. Suppose 2*t = 5*g - 1 + 27, -g + 38 = 2*t. Let d be 2*-1*8/24*t. Is l greater than d? False Let q be 2/(-7) - 46/(-14). Let o = -321 - -333.3. Let u = -12.28 + o. Which is smaller: u or q? u Let f = 4361.42 + -4443. Let x = f - -2.58. Which is greater: 1 or x? 1 Let m = -7131/4 - -1784. Suppose -u + 3*f + 6 = -1, 0 = 5*f + 25. Let x be u/(-10) - 7/15. Which is bigger: m or x? m Let j = 956 - 402. Which is smaller: 551 or j? 551 Suppose 37*o - 36*o + 5*g + 10 = 0, -g - 2 = -3*o. Suppose -8 = 5*m + 2. Is o < m? False Suppose 3*k = 2*n - 116, k = 5*k - 4*n + 156. Suppose -4*f = -4*o - 164, -4*f - f = -3*o - 197. Let q = f + k. Which is bigger: 3/44 or q? 3/44 Let q = 654 - 654.55. Suppose -2*r + 8 = 2*r. Are q and r unequal? True Let p be (8 - (-14)/(-4))/((-26)/224). Which is bigger: -38 or p? -38 Suppose h - 216 = 4*h. Let m(g) = 54*g + 1436. Let i be m(0). Let b = i - 1507. Which is smaller: h or b? h Let o(v) = -v**2 - 20*v + 101. Let s(l) = -l**2 - 22*l + 100. Let x(f) = 4*o(f) - 3*s(f). Let z be x(8). Is z less than -1/2? True Let p = 1253 + -51368/41. Let n = -395477 + 81073343/205. Let v = p - n. Is v >= -3? True Let g(a) = 14*a + 11. Let s be g(3). Let r = 34 + -88. Let w = s + r. Which is bigger: w or -3? w Let w = -18261 - -18261.205. Is w > -0.08? True Let j = 84 + -48. Let x be ((-2)/((-8)/(-138)))/(j/96). Let z = x - -93. Which is smaller: z or 3? z Let s = -717 - -713. Let w be (14/s)/(45/(-180)). Which is bigger: w or 27? 27 Let p(q) = -q**2 + 569*q + 4026. Let d be p(-7). Which is greater: d or -49? d Let x be (-85)/(-3) - 13/((-312)/16). Suppose v = x + 17. Which is smaller: 45 or v? 45 Suppose -5*k + 3*h + 41 = 12, 0 = -3*k + 5*h + 27. Let x(d) = -d**2 + d + 15. Let b be x(k). Let s = -8 - -6. Is b bigger than s? True Let d = 43 - 39. Let s = 22 - d. Let c = s - 22. Is -5 > c? False L
{ "pile_set_name": "DM Mathematics" }
*s, 3*s - 5*m - w = 0. Suppose t + s + 91 = c, 0 = 4*t - 4. Is c prime? True Let h(m) = -m**3 + 13*m**2 - 4*m + 8. Suppose -3*x + 12 + 18 = 0. Let o be h(x). Suppose 2*w + 2*w - o = 0. Is w a prime number? True Let a(s) = 79*s**2 - 1. Let y be a(1). Suppose 4*i = i + y. Is i prime? False Let j = 409 - 114. Is j a prime number? False Is (2 - 2) + 786 + -8 composite? True Let i(x) = -x**2 - x + 1. Let j(w) = -2*w + 2. Let t(f) = -3*i(f) + 2*j(f). Suppose 0 = 2*b + 2 + 2. Is t(b) prime? False Suppose 2*q = 2*c - 6446, -5*c + 2*q = -q - 16123. Is c prime? False Suppose 6*t - 3*k = 2*t + 3502, k = 4*t - 3506. Is t prime? True Let i = 1511 - 997. Is i prime? False Let u be ((-30)/(-9))/((-1)/3). Let h = -15 - -14. Let y = h - u. Is y prime? False Is (-4 + 0)/(-4)*31 a composite number? False Let j(t) be the first derivative of 55*t**4/2 - t**2 + t + 1. Suppose -2 - 2 = -4*n. Is j(n) prime? True Let w = 552 - 320. Suppose 5*o + 321 = 2*v + 2*v, -5*o = 3*v - w. Is v composite? False Suppose 237 = -2*n + 3*n. Is n a composite number? True Suppose -9*i + 10290 = -3039. Is i composite? False Let o(t) = -t**3 - 8*t**2 - 6*t - 3. Let m be o(-7). Let a be 15/m*16/(-6). Suppose a*v - 85 = 63. Is v a prime number? True Let h(a) = -8*a + 4. Let f(s) = -7*s + 4. Let w(l) = -3*f(l) + 4*h(l). Is w(-3) composite? False Suppose 0 = -0*o - 2*o + 66. Let x be (32/12)/(4/(-78)). Let f = o - x. Is f a composite number? True Let i = -1 + 3. Let o be i*(-1)/((-2)/23). Suppose q - 91 = -4*s, -o = -5*s + 2*q + 94. Is s prime? True Suppose 4771 = 3*t - s, s + 4 + 0 = 0. Is t composite? True Let f = -2 - -5. Suppose -3*l - 180 = -6*l - 2*j, -4*l = -f*j - 223. Is l/3 - (-1)/(-3) a composite number? False Let f = 318 + -227. Is f prime? False Let w be 336/(-40)*(-170)/3. Let c = 1023 - w. Suppose 26 = -s - 2*h + 141, -5*s + 4*h + c = 0. Is s a composite number? True Let p(k) = 12*k + 3. Let g(i) = -23*i - 7. Let n(d) = 6*g(d) + 13*p(d). Is n(7) a composite number? True Let f(i) = -i**3 + 12*i**2 + 13*i - 17. Is f(12) a composite number? False Let q(u) = -u**2 - 7*u + 7. Let n be q(8). Let p = 270 + n. Is p prime? True Let m(u) be the first derivative of 3*u**4/4 - 2*u**3/3 + u**2/2 + u + 1. Is m(2) prime? True Suppose 3*u - 10 + 34 = 0. Is (-1)/(-4) + (-278)/u a prime number? False Suppose -5*c = 2 - 22. Let m = c - 2. Suppose n - 75 = -m*n. Is n prime? False Suppose -n - 15 = 2*n. Let j(h) = 8*h - 1. Let x(g) = -7*g. Let w(u) = n*j(u) - 6*x(u). Is w(7) a prime number? True Suppose -744 = -3*h - h. Let v = 263 - h. Suppose 3*o = -4*b + 215, -3*b = 4*o - 240 + v. Is b a composite number? False Let c(k) = -199*k + 76. Is c(-9) prime? True Suppose -1 - 3 = -n + 4*p, n = -5*p + 13. Let g = -4 - n. Is (-392)/g*(-6)/(-4) prime? False Let v(j) = -j**2 + 1 - 1 + 2*j. Let d be v(2). Suppose 7 = 2*n + 3, d = 4*i - 4*n - 84. Is i a composite number? False Let n(c) = -c**3 - 5*c**2 - 5*c + 2. Let k be n(-4). Suppose -445 = -4*w + 443. Is 4/k*w/4 prime? True Suppose -p + 587 = -993. Suppose -4*s + p = -0*s. Is s a composite number? True Suppose -11 + 35 = -4*z. Is (2/(-3))/(z/981) a composite number? False Suppose 2*c = -c + 9. Suppose 5*l - 4*o - 41 = 0, -12 = -l + c*o + 5. Suppose 5*i - 35 + l = 0. Is i prime? False Suppose 16 = -2*u - 4*n - 8, -5*n = -2*u - 42. Is (483/(-12))/(4/u) a composite number? True Let x = 10 - 5. Suppose -x*f + 12 = 2. Suppose f*s = 3*s - 3. Is s a prime number? True Suppose 0*m + 4*m = -4*k + 28, 5*k + 5 = 5*m. Let l(v) = v**2 - 4*v + 1 + 0 - k. Is l(5) a prime number? True Let n be -237 + (-6 - -2)/4. Let q(p) = 10*p**2 + 5*p + 5. Let g be q(-6). Let m = n + g. Is m composite? False Suppose 4*y - 21 = 7*y. Let h(k) = -2 - 9*k + 3 + 1. Is h(y) a prime number? False Is 83797/35 - (-4)/5 a composite number? True Let g(n) = n**3 + 2*n**2 + 2*n - 4. Let d be g(-3). Let r = d - -230. Is r a composite number? False Let w be 1/(-2) + (-268)/(-8). Suppose 90 = g - w. Is g prime? False Suppose f - 23108 = -5*a, 4*a + a - f = 23102. Is a prime? True Let l(v) = v + 6. Let d be l(0). Let b(c) = 6*c + 3. Let t be b(-3). Is (-153)/(-5) - d/t a composite number? False Suppose 131 = 2*v - 63. Is v a prime number? True Let f(s) be the second derivative of s**3/3 - 3*s**2/2 + 2*s. Let o be f(3). Suppose 5*u - 77 = -4*p, -3*p - o*u = 2*u - 64. Is p composite? False Suppose -l - l + 4 = 0. Suppose -u - 29 + 201 = 4*n, 0 = -l*n + 4*u + 86. Is n a composite number? False Let t(p) = p**2 + 4*p + 4. Let o be t(-4). Suppose 27 = 3*g - 2*i, 6 = -g - 3*i + o. Is g a composite number? False Let i(q) = -q**2 + 7. Let s = 5 + -5. Is i(s) prime? True Suppose -r = -3 - 0. Is r + -2 + (2 - -7) a prime number? False Suppose -4*u = 4*y, 0 = -2*y - 7 + 3. Let k(b) = -7*b + 0*b - u + 1 - 3. Is k(-5) a composite number? False Let w(y) = -y + 1. Let h be w(2). Let l = 3 - h. Suppose -78 = -l*r + 78. Is r prime? False Let h(d) = -23*d - 4. Let a be 1/((-22)/10 - -2). Let s be h(a). Suppose s = -c + 4*c. Is c a composite number? False Let t(i) = -4*i - i + 3*i**2 - 5*i + 4*i + 6. Is t(5) composite? True Let u(s) = s - 44. Suppose -y = -5*y + 24. Let j(p) = -p + 43. Let m(v) = y*u(v) + 7*j(v). Is m(0) composite? False Let s(y) be the second derivative of -y**3 + 11*y**2/2 + 2*y. Is s(-7) a prime number? True Let n = -2632 + 4113. Is n prime? True Suppose -7*l = -l - 342. Is l composite? True Suppose -2*p - 4*n + 30 = 0, 3*p - 25 = 2*n - 4*n. Is (-1)/p + (-131)/(-5) composite? True Suppose 4*t - 4*v = 340, 0 = 5*v - 0*v - 25. Let q = -53 + t. Is q a prime number? True Let k be 2/4 - (-1)/2. Let z be (1 - 1 - 6)*-4. Let l = k + z. Is l prime? False Let y = 443 + -120. Is y a composite number? True Let x(m) = -36*m + 36. Let t(d) = -7*d + 7. Let v(l) = 21*t(l) - 4*x(l). Is v(-4) prime? False Let t be 1 + 1 - (-3)/(-1). Let w = t + 5. Suppose -w*v + 438 = 5*b - 853, -3*b + 781 = -4*v. Is b composite? True Let u(g) = -g**3 - 3*g**2. Let i be u(-3). Suppose t = -i - 2. Let f = t - -15. Is f a prime number? True Is (368/(-6))/(-8) + 4/(-6) a composite number? False Let n(z) = 46*z**2 - 12*z - 3. Is n(8) composite? True Suppose -2*j - 30 = 3*j. Is 422/j*24/(-8) a prime number? True Let h(o) = -o + 14. Let m be h(11). Suppose -k = 0, -5*k = m*s - s - 134. Is s a composite number? False Let o(v) = 11*v**2 + 2*v - 1 - 1 + 0 - 4*v**2. Is o(-3) prime? False Let g(o) = -13*o + 9. Let n be g(5). Let s be 21/2*(-4)/2. Let t = s - n. Is t a prime number? False Suppose -4*p = -5*y - 645, -127 = 2*y + 4*p + 103. Suppose 5*w + 1099 = b, -342 = 3*w + 2*b + 320. Let c = y - w. Is c composite? True Let x(a) = 24*a**2 - 7. Is x(3) a composite number? True Suppose -5*z = 4*f - 1943 - 526, f = 4*z - 1971. Is z a prime number? False Suppose 5 - 19 = 2*i. Let p = i - -28. Is p a composite number? True Suppose 91 = -2*p + a, -8 = p - 4*a + 27. Let u = -33 - 0. Let g = u - p. Is g prime? False Let i(o) = 3*o**2 + 5*o - 5. Is i(-13) composite? True Suppose 4 + 1 = m, 3*c - 3*m + 3 = 0. Suppose 3*a + 77 = -c*f + 207, 4*f + 2*a = 128. Suppose 3*h = -5*v + 124, 4*h - f = 4*v + 81. Is h a composite number? True Suppose -3*j + 1 + 272 = 3*w, -w + 467 = 5*j. Is j composite? True Let k(h) = h**2 - 4*h. Let p be k(5). Suppose 983 = 6*i - 2*i - p*l, -2*i + 5*l = -489. Is i prime? False Suppose 2*j + 3*b - 871 = 6*b, -5*b + 25 = 0. Is j a prime number? True Suppose 0 = -2*m + 3 + 1. Is 1947/4 + m/8 a prime number? True Let b = 220 + -648. Let a = b - -723. Suppose 2*q - a = -3*q. Is q composite? False Let c be -3 + 13 + (-2)/2. Suppose -5*n + c*n - 532 = 0. Is n a prime number? False Suppose -5*d - 3*k = 0, 5 = -5*d - 0*k - 2*k. Let u be 5 + -3 - d/(-1). Is (236/(-8))/(u/2) a composite number? False Is 2552/(-32)*4*-1 composite? True Suppose 3*i = i + 6. Suppose -i*t = 2*t. Suppose 2*n + n - 21 = t. Is n prime? True Suppose 1 = 3*c - 2*n - 16, -5*c + 20 = -5*n. Is ((-444)/c)/(4/(-6)) composite? True Let g = 561 + -388. Let j = -28 + 16. Let l = g + j. Is l prime? False Let c = -1 + 4. Suppose c*m = -m. Suppose b + 2 - 9 = m. Is b a composite number? False Let n be (-8790)/(-18) + (-4)/(-6). Suppose -2*o + n = o. Is o composite? False Let b be (-17 - -3)*30/(-7). Suppose -4*x + b = -d + 5*d, 5 = -x + 3*d. Suppose 4*r + x = 38. Is r a com
{ "pile_set_name": "DM Mathematics" }
.18, -1 Sort -66, -6, 5, 13, 3. -66, -6, 3, 5, 13 Sort 1/11, 2/17051, -0.05 in descending order. 1/11, 2/17051, -0.05 Sort -166, 0, -0.12, -2, -1, -0.2 in increasing order. -166, -2, -1, -0.2, -0.12, 0 Sort 2, -7147, 18, -4. -7147, -4, 2, 18 Sort -1, -4692, 0 in ascending order. -4692, -1, 0 Put -100, -1/4, 1/2, 1215/7 in decreasing order. 1215/7, 1/2, -1/4, -100 Put -3, 450, -16 in increasing order. -16, -3, 450 Sort -69, 158, 1/4 in descending order. 158, 1/4, -69 Sort 4, -7, 119, -3, 1 in increasing order. -7, -3, 1, 4, 119 Put 3, 4, 50, -5, 10, 5 in increasing order. -5, 3, 4, 5, 10, 50 Sort 30333, 2/7, -2 in decreasing order. 30333, 2/7, -2 Put 1, -11516, 2/5 in decreasing order. 1, 2/5, -11516 Put -4, 1, -42748 in decreasing order. 1, -4, -42748 Sort 45, -4, -3, 5, 39 in decreasing order. 45, 39, 5, -3, -4 Sort 0, 4, 3, -1260, 5 in decreasing order. 5, 4, 3, 0, -1260 Sort -2, 929, 3 in increasing order. -2, 3, 929 Sort 0.5, 0.2, -59, -144 in decreasing order. 0.5, 0.2, -59, -144 Sort 1, -16, 5, 2, 1820 in increasing order. -16, 1, 2, 5, 1820 Put -7, 0, 3, -82, 17, -1 in ascending order. -82, -7, -1, 0, 3, 17 Put 1.7, 4/3, -7, 1/82 in decreasing order. 1.7, 4/3, 1/82, -7 Sort -3, 10, 7, -9 in descending order. 10, 7, -3, -9 Sort 1, 21, 3, 4, 5, 1223 in decreasing order. 1223, 21, 5, 4, 3, 1 Put 378, -0.4, 10, 3/5 in decreasing order. 378, 10, 3/5, -0.4 Put 12.8, -1/6, 0, 0.01 in descending order. 12.8, 0.01, 0, -1/6 Sort -1, -47, 35, 3 in increasing order. -47, -1, 3, 35 Put 45, 12, -0.1, -4 in decreasing order. 45, 12, -0.1, -4 Put -0.1, -2433, -1/5 in increasing order. -2433, -1/5, -0.1 Put -2/7, -3075, 7 in decreasing order. 7, -2/7, -3075 Put -2/7, -3, -1/7, -51.1 in descending order. -1/7, -2/7, -3, -51.1 Sort 824, 3, -9, 1, -3, -4 in increasing order. -9, -4, -3, 1, 3, 824 Sort 1, 80, -110 in increasing order. -110, 1, 80 Put 1, -173, -5, 4 in decreasing order. 4, 1, -5, -173 Put 31, 15, -3, -80 in ascending order. -80, -3, 15, 31 Sort -0.1, 12, 0.3, 481, 2. -0.1, 0.3, 2, 12, 481 Put -47, -5, -440/3, -0.4, 1/8, 2 in decreasing order. 2, 1/8, -0.4, -5, -47, -440/3 Sort -33, 101, -3, -4, -5 in descending order. 101, -3, -4, -5, -33 Sort -29, -91, -2, 0 in ascending order. -91, -29, -2, 0 Sort 2/3, 106, 4, 1, -39, -2/7. -39, -2/7, 2/3, 1, 4, 106 Sort -0.1, -2, 253, 1/4, 0.3 in descending order. 253, 0.3, 1/4, -0.1, -2 Put -1, -95, 0, 2, 3 in decreasing order. 3, 2, 0, -1, -95 Sort -0.5, 0.5, 17, -2, -0.065, -11 in decreasing order. 17, 0.5, -0.065, -0.5, -2, -11 Put -3, 60968, 16 in descending order. 60968, 16, -3 Sort 2, -23162, -2/17, -5, 0.3. -23162, -5, -2/17, 0.3, 2 Sort 0, 42, -4, 2, -1, -3 in decreasing order. 42, 2, 0, -1, -3, -4 Put 5/2, 5, -18, -2.23 in ascending order. -18, -2.23, 5/2, 5 Sort -1/276, -1502, 1 in decreasing order. 1, -1/276, -1502 Sort 1, -2, 0.7, 2, 0.029 in increasing order. -2, 0.029, 0.7, 1, 2 Sort -5, -6, -255, 4, 2, 3 in descending order. 4, 3, 2, -5, -6, -255 Put 3, -1, 11, 0, 10, -112 in ascending order. -112, -1, 0, 3, 10, 11 Put 23, -3, -2, -5, -14, -142 in increasing order. -142, -14, -5, -3, -2, 23 Sort -6, -5, -1537 in descending order. -5, -6, -1537 Put 1, 1306, -2 in ascending order. -2, 1, 1306 Sort 26, -0.3, 13, 0.7 in increasing order. -0.3, 0.7, 13, 26 Put 3, 2642, 10 in increasing order. 3, 10, 2642 Put -52, -3, 210, 7, 2 in decreasing order. 210, 7, 2, -3, -52 Put 3, -220, -4, 5, -9 in ascending order. -220, -9, -4, 3, 5 Put -5, -58, -8/7, 5, -0.01 in increasing order. -58, -5, -8/7, -0.01, 5 Sort -51, -1/21, 1, -12 in decreasing order. 1, -1/21, -12, -51 Sort 3, 117, 27, -3, 6 in increasing order. -3, 3, 6, 27, 117 Sort 4, 2, 12, -60 in increasing order. -60, 2, 4, 12 Put -584, 5, -0.5, 12, 0.1 in ascending order. -584, -0.5, 0.1, 5, 12 Put 3/2, 13, -1/5, -0.4, 17, 0 in ascending order. -0.4, -1/5, 0, 3/2, 13, 17 Sort -25, -2, 2923. -25, -2, 2923 Put -105, -91, -4, -1, 11, -3 in decreasing order. 11, -1, -3, -4, -91, -105 Sort -25, 857, -4, -2. -25, -4, -2, 857 Sort -49, -8, 2, -29 in descending order. 2, -8, -29, -49 Put -0.1, -2/85, 27.45 in ascending order. -0.1, -2/85, 27.45 Sort 3, -4, 6550, -0.18, 4. -4, -0.18, 3, 4, 6550 Put 13, 867, -3, 1, 5, 2 in descending order. 867, 13, 5, 2, 1, -3 Sort -4, 6, 34, 4. -4, 4, 6, 34 Sort -3, 2, 4, 125, 1 in descending order. 125, 4, 2, 1, -3 Sort -62/21, -5, 2/27, -0.4. -5, -62/21, -0.4, 2/27 Sort -16, 12, -25 in increasing order. -25, -16, 12 Put -14361, 2, -2, -5 in ascending order. -14361, -5, -2, 2 Put -4, 37, -1/6, -8 in decreasing order. 37, -1/6, -4, -8 Sort -4, -3, -1990. -1990, -4, -3 Sort -4984/15, 8, -0.4. -4984/15, -0.4, 8 Sort -3, 1, 49, 6, 0 in ascending order. -3, 0, 1, 6, 49 Sort 5, -4243, -7, -2. -4243, -7, -2, 5 Sort 772, 3, 11, 2, 0 in decreasing order. 772, 11, 3, 2, 0 Sort 32, 500, -3, -5, -4, 1. -5, -4, -3, 1, 32, 500 Put 1554, 0.3, -7.2 in ascending order. -7.2, 0.3, 1554 Sort -0.1, -8052, 1/5, 3, 2/5 in descending order. 3, 2/5, 1/5, -0.1, -8052 Sort -3, 5, 2, -206/3. -206/3, -3, 2, 5 Sort -1360, 73, -2. -1360, -2, 73 Put -2, -6136, 4, 0 in ascending order. -6136, -2, 0, 4 Put 25, -4/7, 0.02, -0.94, 0 in decreasing order. 25, 0.02, 0, -4/7, -0.94 Sort 0.428, -3, -1249. -1249, -3, 0.428 Put -5, -1, 2, 4, 5, 18 in decreasing order. 18, 5, 4, 2, -1, -5 Sort 5, 0, -347, -1 in increasing order. -347, -1, 0, 5 Sort -5, -3, 5, -195, 74 in increasing order. -195, -5, -3, 5, 74 Sort -2, 27, -5, 5, 2. -5, -2, 2, 5, 27 Put -2930, -2/7, 6, -5/4, 0.2 in descending order. 6, 0.2, -2/7, -5/4, -2930 Sort -21, -9171, 4, -4 in increasing order. -9171, -21, -4, 4 Put 1591, -5, 4 in decreasing order. 1591, 4, -5 Sort -70, 75, -2. -70, -2, 75 Sort -4, -112, -25, 118 in descending order. 118, -4, -25, -112 Put 0.3, 4, 6, -0.5, 2/7, -3244 in decreasing order. 6, 4, 0.3, 2/7, -0.5, -3244 Sort 3, -106, -1, -4, 1. -106, -4, -1, 1, 3 Sort 22, 1/9, 16, -0.5, 3, 0 in descending order. 22, 16, 3, 1/9, 0, -0.5 Sort -3, -926, -16 in ascending order. -926, -16, -3 Sort 1, 2/73, -1.7, -1/9, -1/7, -5 in descending order. 1, 2/73, -1/9, -1/7, -1.7, -5 Put 2/5, 16, 0.03, -7, -5, 2/7 in increasing order. -7, -5, 0.03, 2/7, 2/5, 16 Sort -2, 7, 2, -8, 0, -43 in descending order. 7, 2, 0, -2, -8, -43 Put -289, 4, -8, -2, -1, 7 in decreasing order. 7, 4, -1, -2, -8, -289 Sort -3, 2, -9, -22, 6 in ascending order. -22, -9, -3, 2, 6 Sort 4, -5, 1, -13, -39 in decreasing order. 4, 1, -5, -13, -39 Sort 2/3, -308/9, -7, 3, -3/2 in ascending order. -308/9, -7, -3/2, 2/3, 3 Put -156, 1, -8 in decreasing order. 1, -8, -156 Put 3, -5, -19, 1, -134 in decreasing order. 3, 1, -5, -19, -134 Sort -1, 5910, 6 in decreasing order. 5910, 6, -1 Put 4, -5, -16880, 5 in descending order. 5, 4, -5, -16880 Sort -2, -1893, -118. -1893, -118, -2 Sort -2/7, -1/11, 1/8, 18, 23 in ascending order. -2/7, -1/11, 1/8, 18, 23 Sort 35, 5, -270 in decreasing order. 35, 5, -270 Sort -14, -4, 5, 101, -1 in increasing order. -14, -4, -1, 5, 101 Sort -10, 40279, -1. -10, -1, 40279 Sort 4, -5570, 3, 12 in descending order. 12, 4, 3, -5570 Sort 0.3, 1, -34, -27.5, -3 in decreasing order. 1, 0.3, -3, -27.5, -34 Sort -2, 102.2633, -0.2. -2, -0.2, 102.2633 Put -2, -17, 32, -8, -3 in increasing order. -17, -8, -3, -2, 32 Put -16, 4, -5, 3, 0, -149 in increasing order. -149, -16, -5, 0, 3, 4 Sort 50, 1124, -2. -2, 50, 1124 Sort 5, -189, 94, 4 in descending order. 94, 5, 4, -189 Sort -11, -967, -9 in increasing order. -967, -11, -9 Sort -0.1, -2, -1/7, -1, -7203 in ascending order. -7203, -2, -1, -1/7, -0.1 Sort 0.4, 5, 24760 in ascending order. 0.4, 5, 24760 Sort 3, 5, -2, 4, 87, -6 in descending order. 87, 5, 4, 3, -2, -6 Sort -3, 7, -5, 0, -96, 22 in increasing order. -96, -5, -3, 0, 7, 22 Put 4, -1, -57, -3465 in increasing order. -3465, -57, -1, 4 Put -1, -0.8, -2/35, 3, -465 in increasing order. -465, -1, -0.8, -2/35, 3 Put -2/3, -32.9, -1/3, 2/3, 0.3 in decreasing order. 2/3, 0.3, -1/3, -2/3, -32.9 Sort -3, 3914, 3, -5 in ascending order. -5, -3, 3, 3914 Sort -6, -1, 4, 50, -5 in increasing order. -6, -5, -1, 4, 50 Sort -16/59, -4/7, -1/3, -0.01, 1/5 in descending order. 1/5, -0.01, -16/59, -1/3, -4/7 Put -0.21, -7, -86, 0.2, -2/7 in increasing order. -86, -7, -2/7, -0.21, 0.2 Put -0.3, -5, -4,
{ "pile_set_name": "DM Mathematics" }
2. 35*l**5 Expand (-2 + 0 + 0)*(2 - 2 + 2*c**4) - 3*c**4 + 4*c**4 + c**4 - 2*c**2 - 7*c**4 + 2*c**2 - 2*c**4 + c**4 + 4*c**4. -6*c**4 Expand ((-3 + 0 + 5)*(6 + 4 - 2) + 1 - 3 + 5)*(1 - 3 + 0)*(-c + 0*c + 3*c). -76*c Expand (5 + 5 - 6)*(-52*g + 27*g + 28*g)*(-3 + 0 + 6). 36*g Expand (25*u - 1285 + 74*u + 1303)*(-3 - 2 + 4). -99*u - 18 Expand (-3 + 0 + 4)*(-2 - 5 + 4)*(-33 + 2*p**2 + 33)*(-p + 2*p**2 - p**2 + 0*p). -6*p**4 + 6*p**3 Expand (419*a + 734592 - 734592)*(5*a**2 - 4*a**2 - 3*a**2). -838*a**3 Expand (-2*n**2 + 0*n**2 + n**2)*(46 - 30 + 5*n - 15)*(4 - 4 + 2*n). -10*n**4 - 2*n**3 Expand -w**5 - w**5 + w**5 + 2*w**5 + 0*w**5 + 0*w**5 + (-w**3 + 4*w**3 - 4*w**3)*(0*w + 0*w - 2*w**2) + w**5 + 6*w**5 - 5*w**5 + 6*w**5 - 1 - 9*w**5 + 0*w**5. 2*w**5 - 1 Expand (-4*m**3 + 2*m**2 - 2*m**3 + 5*m**3)*(-19080*m + 19080*m - 202*m**2). 202*m**5 - 404*m**4 Expand (149*a + 1 - 32*a - 67*a)*(-4*a + a + 4*a). 50*a**2 + a Expand (0 + 0 + w)*(-2*w**3 - w + w) - 1 + 1 - w**4 - 606*w**4 - 83*w**4 - 215*w**4. -907*w**4 Expand 17*d**2 - 17*d**2 + 2*d**4 + (2*d - 3*d + 0*d)*(d**3 + 3*d**3 - 3*d**3) + 142*d**3 + 9*d**4 - 142*d**3. 10*d**4 Expand (-5 + 2*j + 5 + (-2*j - 4 + 4)*(-2 - 6 + 5))*(3*j - 17*j - 7*j + (2*j - j + j)*(1 + 0 + 0)). -152*j**2 Expand (4*c + 2*c - 5*c + (0*c - 2*c + 4*c)*(-4 + 5 - 2) + (3 + 1 - 2)*(3*c + c - 5*c))*(-3*c + 4*c - 10*c)*(-9*c**2 + 4*c**3 + 9*c**2). 108*c**5 Expand -2*y**2 - 2*y**2 + 0*y**2 + (-y + y + 4*y)*(-2*y - y + 2*y). -8*y**2 Expand (2 + 0 - 1)*(3 - 2*t - 3)*(2 + 6*t - 3 - 2). -12*t**2 + 6*t Expand 124*i**5 - 122*i**5 + i**2 + 1 + 1 + (6*i**3 + i**2 - i**2)*(-2*i**2 + 2*i**2 - 4*i**2). -22*i**5 + i**2 + 2 Expand (0 + 1 + 3)*(-17*u**3 - 9*u**4 + 41*u**3 - 11*u**3). -36*u**4 + 52*u**3 Expand (-5 + 4 + 3)*(-2 + 3 - 3)*(-2*u + 2*u + u + (-u + 0*u - 2*u)*((3 + 2 - 3)*(-2 + 4 - 1) - 1 + 4 - 4)). 8*u Expand (1 + 3 - 3)*(-52 + 27 + 19)*(-a**2 + 2*a**2 - 2*a**2 + (1 - 1 + 2*a**2)*(-4 + 1 + 1) + 1 - 1 - 2*a**2 - 2*a**2 - a + a). 54*a**2 Expand -829 + 180*d**4 + 829 + (4 - 4 - 2*d**4)*(-4 + 2 + 1). 182*d**4 Expand 19*d**3 + 34*d**2 - 34*d**2 + (-3*d**2 + 0*d**2 + 2*d**2)*(1 - d - 1) - 2*d**3 + 0*d**3 + 3*d**3 - 4*d**3 - 3*d**2 + 3*d**2. 17*d**3 Expand (-j + 4*j - 2*j)*(-5*j**4 + 5*j**4 + j**4) + 25 - j**3 + 3*j**3 + 146*j**5 - 145*j**5. 2*j**5 + 2*j**3 + 25 Expand (-25*l + l - 15*l)*(-l**2 + 0*l**2 - 2*l**2) - 3 - l**3 + 3. 116*l**3 Expand (0*z - 2*z + 6*z)*(-16*z**3 - 12*z**2 + 3*z**2 + 12*z**2). -64*z**4 + 12*z**3 Expand -7*c**5 - 3*c**5 + 7*c**5 + (5*c**5 + 3*c**5 - 3*c**5)*(0 + 0 + 2). 7*c**5 Expand (0*p**3 + 3*p**3 - 2*p**3)*((-3 - 1 + 6)*(-3 + 0 + 1) + 43 + 46 - 36). 49*p**3 Expand (6*c**2 + 3 - 3)*(c - c**3 - c + (6*c**3 - 2*c**3 - 2*c**3)*(-2 + 0 + 3) + (2*c**3 - 3*c**3 + 3*c**3)*(8 - 15 - 2)). -102*c**5 Expand (-5*y + 5*y + 9*y**2)*(-6*y + 0*y + 4*y)*(-8*y + 9 - 9). 144*y**4 Expand (8*t - 2*t - 2*t + (0*t + t - 2*t)*(-5 + 3 + 1) - 2*t + 3*t + 0*t)*(-46*t + 63*t + 66*t)*(-t + t - t**2). -498*t**4 Expand (-26*k**2 - 14*k**2 - 3*k**2)*(1 + 4 - 6) + 4*k**2 + 5*k**2 + 7*k**2. 59*k**2 Expand 3*i**4 - 3*i**4 + 3*i**5 + (-i**3 - i**4 + i**3)*(-2*i - 1 + 1) + 3*i**5 + 16*i**3 - 7*i**3 + i - 7*i**3. 8*i**5 + 2*i**3 + i Expand (-2*s**2 + 2*s**2 - 2*s**2)*(3*s**3 - s**3 - s**3) + 19*s**5 + 1542 - 1542. 17*s**5 Expand (19*p**3 - 11*p**3 - 11*p**3)*(-2 - 3 + 6) + 0 + p**3 + 0 - 4*p + 4*p - 19*p**3. -21*p**3 Expand (3*s - 5*s - 6*s)*(-10*s - 43*s + 27*s). 208*s**2 Expand (-4 + 1 + 5)*((223*y**2 - 57*y**2 - 19*y**2)*(-2*y + 0*y + y) + (2*y - y - 2*y)*(0*y + 0*y - 2*y**2)). -290*y**3 Expand -c + 4 - 4 + 1 - 1 - 6*c + 0*c + 0*c + c + (-2*c - 1 + 1)*(0 + 0 + 1) - 8*c + 3*c + 3*c. -10*c Expand -2*y**5 + 3*y**5 - 2*y**5 + (-187 - 194 - 241*y + 382)*(-2*y**4 + 0*y**4 - y**4). 722*y**5 - 3*y**4 Expand (-21*u**4 - 1288 + 1288 + 2*u)*(u - 4*u + u). 42*u**5 - 4*u**2 Expand -2*h + 4*h + h - 4*h + 4*h - 3*h + (0*h + 6*h - 4*h)*(0 - 1 + 3) - h + 4*h - h - 1 - 2 - 3*h + h. 4*h - 3 Expand (63*a**2 + 59*a**2 + 2 - 120*a**2)*(-3*a + 4*a + a)*(-2 + 2 + 3*a**2). 12*a**5 + 12*a**3 Expand (-19*g - 2*g + 45*g - 2*g)*(15*g - 15*g + 2*g**3). 44*g**4 Expand (82 + 38 + 105)*(-2 + 3*h - 4*h + 3)*(-3 - 4 + 5). 450*h - 450 Expand ((1 + 2 + 1)*(-1 + 2 - 2) - 4 + 3 + 3)*(4*x**4 + 14*x**4 + 4*x**4 + (2*x**3 + 2*x - 2*x)*(3*x - 2*x - 2*x) + x**4 + x**3 - x**3). -42*x**4 Expand (4*q**3 - 5*q**3 + 3*q**3)*(23 - 23 - 17*q + (0*q + 2*q - q)*(0 + 2 - 3) - 2*q + 2 - 2 + 4*q - 3*q - 3*q). -44*q**4 Expand (265*u - 265*u - 52*u**2)*(2*u - u + 5*u)*(u + 3 - 3). -312*u**4 Expand -x**5 + 3*x**5 - 4*x**5 - 1 + 2*x**5 + 1 + (-x**3 + x**4 + x**3)*(7*x + 46*x + 42*x). 95*x**5 Expand (4*b + b - b)*(-b - 57433*b**2 - 2*b**3 + 57433*b**2). -8*b**4 - 4*b**2 Expand -3*s - 2*s + 3*s + (1 + 5 - 1)*(-1 - 5*s + 1). -27*s Expand -10*g + 10*g + 5*g**4 + (3*g**4 - 4*g**4 + 2*g**4)*(4 - 3 + 0) - 4*g**2 + 4*g**2 - 2*g**4 - 23*g**4 + 41*g**4 + 87*g**4 + 250*g**4. 359*g**4 Expand (46 + 4*u - 46)*(-3 - 1 - 2 + (-6 + 2 + 2)*(1 + 0 + 1) - 1 - 1 + 4) + (0*u + 2*u - u)*(-3 + 3 - 1). -33*u Expand (-2*a + 0 + 0)*(-4*a + 3*a + 4*a)*(2 + 3 - 7 + (-1 - 1 + 9)*(3 + 0 - 2)). -30*a**2 Expand (-18 - 2 + 10)*(-3 - 2*d**3 + 3) - 4*d**3 + 2*d**3 - 4*d**3. 14*d**3 Expand (5 + 6 - 19)*(4 - 4 + 2)*(63*h + 45*h - 32*h). -1216*h Expand (-2*n + 4*n - 3*n)*(-340*n**3 + 893*n**3 - 304*n**3). -249*n**4 Expand (-12*t + 420 - 5*t - 429)*(-3*t**2 + 4 - 4). 51*t**3 + 27*t**2 Expand (-2*f**2 - 4*f**2 + 5*f**2)*(7*f**2 + 21*f**2 - 10*f**2) + 1 + 2*f**4 - 2*f**3 - 1 + (3*f**2 - 5*f**2 + f**2)*(-f**2 - f**2 + 0*f**2) - 3 + 3 + 3*f**4. -11*f**4 - 2*f**3 Expand -150*x - 35*x**2 + 150*x + (x + x + 0*x)*(-7*x - 1 + 1). -49*x**2 Expand ((3 - 1 - 1)*(-4*w**2 + 2*w**2 + 4*w**2) - 8*w**2 - w**2 + 4*w**2)*(-13*w**3 + 9*w**3 - 11*w**3). 45*w**5 Expand -4*c**4 + 0*c**4 + 2*c**4 + (-4*c**2 + 7*c**2 - c**2)*(2*c**2 + 0*c**2 - 8*c**2) + (2*c + 3*c - 2*c)*(-2 - 2*c**3 + 2). -20*c**4 Expand 37*g**2 - 4*g**4 - 37*g**2 + (-5*g**4 + 5*g**4 - 2*g**4)*(0 - 3 + 4) + 2*g**4 + 0*g**4 - 4*g**4. -8*g**4 Expand (q - q**2 - q)*(-16*q**2 + 8*q**2 + 8*q**2 - 250*q**3). 250*q**5 Expand ((1 + 0 + 0)*(2 + 1 - 4) + 6 + 9 + 2)*(16*m**2 - 16*m**2 - 9*m**4) + m - 2*m**4 - m. -146*m**4 Expand (4 - k**3 - 4)*(-251 + 667 + 706). -1122*k**3 Expand (0 + 2*r + 0)*(4*r - 3*r**2 - 4*r) - 4 + 20 - r**3 - 6. -7*r**3 + 10 Expand (2 - 1 + 0)*(-62*g**3 + 62*g**3 + 64*g**4). 64*g**4 Expand -1 + 1 + 25*i + 2*i - 4*i + i + 3 + i - 3 + (-1 - i + 1)*(-2 + 0 + 0) + 2*i - 5*i + 2*i + (2*i + 7*i - 3*i)*(-8 + 2 + 0). -10*i Expand (0 + 0 + 1 + (0 + 0 - 2)*(-1 + 4 - 2) - 2 - 2 + 2)*(-3 - 3 + 3)*(-3*m**2 - 5*m**2 - 2*m**2). -90*m**2 Expand (2*y**2 - 2*y**2 - 2*y**2)*(-25*y + 59*y + 20*y)*(5*y**2 + y**2 - 4*y**2). -216*y**5 Expand -68*z**2 + 162*z**2 - 84*z**2 + (z + 2 - 2)*(2*z - 5*z + z) - 3*z**2 - 4*z**2 + 0*z**2. z**2 Expand (0*y**3 - y**3 + 4*y**3)*((5 - 3 + 2)*(-5*y + 13*y - y) + 1 + 2*y + 1 + 4). 90*y**4 + 18*y**3 Expand 25*d**4 - 22*d**4 + 25*d**4 + (-2*d**3 + 0*d**3 + 0*d**3)*(6*d - d - 3*d) + (d - 2*d**2 - d)*(-2*d**2 - 3*d**2 + 2*d**2). 30*d**4 Expand (3 - 3 - a)*(9 - 9 - 5)*(0 + 3*a + 0). 15*a**2 Expand h**3 - 7*h**3 - 7*h**3 + (2*h - 3*h + 3*h)*(0*h**2 + 2*h**2 - 3*h**2) + (-h**2 - h**2 + 3*h**2)*(h + 3*h + 0*h). -11*h**3 Expand (-2*g**2 - 3*g + g + 0*g**2)*(-257 - 211*g + 257). 422*g**3 + 422*g**2 Expand (-2*q - 3*q + 0*q)*((-1 + 3 - 4)*(2*q + 2*q - 5*q) + (11*q - 4 + 4)*(1 + 15 + 3)). -1055*q**2 Expand (42*b**2 - 4*b**2 + 3*b**2 - 2*b**3)*(-1 - 39*b - 2 + 55*b). -32*b**4 + 662*b**3 - 123*b**2 Expand (0 + 2 - 1)*(3*i**3 - 6*i**3 + 0*i**3) + (1 - 2*i - 1)*(i**2 - 4 + 4) + 0*i**3 - i**3 + 0*i**3. -6*i**3 Expand (-20072*v**2 - 482*v**3 + 20072*v**2)*(v - v + 2*v). -964*v**4 Expand (-2 + y + 2)*((-2 + 5 - 1)*(y**3 - 3*y**3 + 0*y**3) + 3*y**3 - 2*y**3 - 2*y**3 + 82 - 16*y**3 - 82). -21*y**4 Expand (19*a - 3*a - 53 - 14*a)*(2*a**2 + a**4 - 2*a**2). 2*a**5 - 53*a**4 Expand (5*r**4 + 0*r**4 - 3*r**4)*(3*r + 1 - 1) + 3 + r**5 - 3 + 684 - 3*r**4 - 684 + 2*r**5. 9*r**5 - 3*r**4 Expand -167*c - 99*c**3 + 170*c - 178*c**3 + (0*c**2 - 3*c**2 + 5*c**2)*(-c + 2*c - 2*c). -279*c**3 + 3*c Expand (3 + 0 - 1)*(0 + d + 0) + 12*d - 5 + 5 + (d + 3 - 3)*(-2 + 0 + 1) - 4*d + d + 2*d + 0*d - d + 4*d. 15*d Ex
{ "pile_set_name": "DM Mathematics" }
late (7 - 345/20) + 10. -1/4 Evaluate (((-12)/(-60))/(28/(-40)))/2. -1/7 Calculate 13 + -6*(-136)/(-72). 5/3 Evaluate ((-6)/10)/(3870/(-150) + 30). -1/7 Evaluate (((-29)/3 - 1) + -2)/(402/(-1206)). 38 What is (4 + 216/(-48))*(-2)/(-7)*-2? 2/7 What is the value of ((-2)/(-2) - 2)*(85/20 + -4)? -1/4 What is ((-120)/(-75) - -3)*-5? -23 What is the value of (0 + (-95)/100 + 1)*8? 2/5 What is 3*(4/(-18) + 5644/612)? 27 Evaluate (4/16)/(1/(-4)) + (0 - -8). 7 1568/112 - (-228)/(-14) -16/7 Evaluate ((-18)/(-20)*(-36)/81)/((-4)/(-280)). -28 3/7*(36/14 - 3/(-7)) 9/7 Calculate (16/(-6))/(19/57*-1). 8 Calculate (15 - 2)/((-4 - -1)/3). -13 Evaluate -4 + 1 - -2 - ((-7)/(-6) - 2). -1/6 18/33 - (-1300)/(-1375) -2/5 What is the value of 486/(-918)*(32/18)/(-4)? 4/17 Evaluate (16/110 - 1002/1837)*40. -16 Evaluate 128/216*(225/(-100) - 6/(-4)). -4/9 (-6*(-8)/(-6) + 3)/((-35)/98) 14 (-1 - (-4)/8)*(-76)/(-114) -1/3 What is ((-11)/((-880)/36))/(1 - (-6)/(-15))? 3/4 What is (60 - (-832)/(-16))*1/(-9)? -8/9 Evaluate 7 - ((-50 - -70) + -9 + 1) - -18. 13 What is (2/(-5))/((-1141)/(-105) - (10 + 0))? -6/13 (-12 + 2 + (-240)/(-25))*10 -4 -1 + (-7)/(-8) + (11 - (-315)/(-168)) 9 What is the value of (-410)/85 + 12 + -7? 3/17 What is -22 + -4 - 8442/(-335)? -4/5 (-25060)/1432*(-4)/(-10) -7 What is (-3)/((-51)/(-272)) + 9? -7 Evaluate 28/(-80) - (-6)/840*-35. -3/5 Calculate 79/(-158)*((-52)/20 - -1). 4/5 What is (-4 + 3)/(-12*(-8)/288)? -3 27 + -34 - 1/(-45)*309 -2/15 What is ((-15)/6 - -4)/((288/16)/(-252))? -21 Calculate (-57)/((-17043)/46) - 66*(-36)/104. 23 What is the value of (-197 - -195)*((-102)/50 + 3 - 1)? 2/25 Calculate (-1196)/(-13)*15/(-24)*(-2)/(-5). -23 What is the value of -8*4/24 + (-56)/(-24) + 9? 10 (-474)/(-59) - (1554 - 1546) 2/59 What is (-43)/1333 - 1265/3069? -4/9 What is 1/((-28)/(-176)) + (-548)/1918? 6 Calculate ((-8658)/(-312))/((-1)/(-20) - 24/30). -37 Evaluate 2/(-1) + (3/51 - 536/(-136)). 2 Evaluate ((-360)/1260)/(51/(-63)). 6/17 96/(-55) + 498/415 -6/11 1/5 - (-1)/((-10)/12) -1 0 + (-14 - -1)*1 -13 (-160)/70 - -4 - ((-18)/(-21))/(-3) 2 What is (16 + -19 + 7)/44? 1/11 What is -11*55/(-85)*-1 + 7? -2/17 Calculate (199/199)/(-1*1). -1 (108/81)/(5 + 42/(-9)) 4 Calculate (4359/7265)/((-27)/(-20)). 4/9 Evaluate 18/14*7/(-4). -9/4 ((-105)/6 - -16)*(-6)/(-15) -3/5 Evaluate (-294)/637 + 0*(2/(-3) - -1). -6/13 What is (-4)/20 + (-253)/165*-6? 9 (18/294)/(6/7)*4 2/7 Calculate ((-91)/49)/(90/1575*(-7 - -2)). 13/2 (2*(-1)/24)/((-10)/(-435)) - -4 3/8 What is ((-4)/14)/((-34)/(-187)*(-8)/56)? 11 What is (4440/275 - 16)/((-14)/35)? -4/11 Calculate (-13)/(-2) + (-48)/3264*34. 6 (((26/(-48))/13)/((-27)/(-81)))/(-3) 1/24 (-15)/(-26)*-2*(-85 + 72) 15 What is the value of (70/24)/((-1080)/648)? -7/4 Evaluate (209 + -215)*3*32/36. -16 What is the value of ((-72)/(-21))/(37/(11396/(-66)))? -16 -2*(-5)/(-50)*((-188)/(-76) + -3) 2/19 ((-340)/(-136))/(385/14) 1/11 Evaluate (-4)/(-64)*-4 - (-4 - 39/(-4)). -6 Evaluate (((-18)/(-15))/((-108)/40))/((-16)/72). 2 Evaluate 138/12*2 - 36. -13 What is 15 + (-90)/15 + 1? 10 What is 2/10 + ((-30)/25 - -2)? 1 What is -2 - (6 + (-8 - 8))? 8 (-1267)/408 + 2 + (-43596)/(-38752) 1/51 (288/18648)/(4/14) 2/37 What is the value of 1854/309*(-56)/12? -28 What is the value of 0 + (5*(-8)/8 - (-18)/2)? 4 What is the value of (-103)/(-5) - (18655/(-325) - -58)? 20 What is the value of (-48405)/(-4610)*10/(-3)? -35 Calculate 126/90*(-20)/(-24). 7/6 (3/(-33) + (-815)/110)/((-2)/4) 15 What is (-13)/3 + 11 + 38/(-19)? 14/3 What is the value of 17/((-272)/32)*(2 - 0)? -4 Evaluate (-11)/(-99)*(-468)/338. -2/13 ((-2 + 0)/40)/(3156/11835) -3/16 What is 23170/(-7944)*9/56 + (-1)/(-2)? 1/32 Calculate ((-1760)/(-110))/(160/(-24)). -12/5 Calculate 294/(-160) - (-6)/15 - (-249)/166. 1/16 What is the value of (-4)/(-10)*(-303)/202? -3/5 (-4)/5*(4 - 1/(-16)*-24) -2 Calculate 32/10752*24 - (-194)/28. 7 What is (-11 - 1379/(-126))/((-10)/8 + 1)? 2/9 What is (-22)/(-2) + (-3193)/279? -4/9 Calculate (-4)/((18/30 - 2) + 2). -20/3 What is the value of (-1281)/(-549)*-6*1? -14 (-5)/3 + 2 - 231/3276*4 2/39 Calculate (4/1050)/((-1701)/(-17010)) + 2/21. 2/15 Evaluate (2301/(-3068))/((-30)/(-8)). -1/5 What is 1 - (-606)/30 - 216/180? 20 What is the value of 6*(-13 - 1344/(-104))? -6/13 What is 8*(-3 - (4 + 130/(-16)))? 9 Evaluate 72/32*168/9*(-130)/195. -28 Evaluate (-240)/(-6) - 16592/416. 3/26 Evaluate 9 + (-17 + 6)*1. -2 Calculate (9 + -8)*-4 - (3 + -2). -5 Evaluate -29*(-34)/2465 + (4/30)/(-1). 4/15 What is the value of (3876/(-408))/((-3)/6)? 19 What is (72/126)/((-72)/98*(-14)/4)? 2/9 Evaluate 360/(-7020) - (4/(-1092) + (-4)/(-24)). -3/14 Evaluate (-204)/119*(-2)/(-4)*7. -6 3/5 + 590/(-25) + 81 + -60 -2 (222 + -180)*(-16)/(-280) 12/5 What is the value of 0 + (-8)/30 - (-59904)/14040? 4 Calculate (496/(-868))/(2/14) + 11. 7 Evaluate (12 + -15)*3 - -11. 2 Evaluate ((-110)/968)/(29/116). -5/11 What is (-24)/18*27/(-108)*87? 29 (-9 + (16 - 6) - 8) + 8 1 What is the value of (150/125)/(4 + (-6)/(-15))? 3/11 What is (2/102)/(3472/288 + -12)? 6/17 Evaluate (-726)/1210 - (-31)/85. -4/17 What is (-190)/(-14) - (-31728)/9254? 17 Evaluate 102*4/294 + 42/1029. 10/7 What is the value of (-1)/(-2) + 10626/3864? 13/4 What is 2/(-12)*-3*32/216? 2/27 Calculate 1/(-1) + ((-84)/(-12) - 7). -1 Evaluate (-293)/136245 + 8/(-124). -1/15 Calculate (35/(-6) - 2) + (-25)/150. -8 Evaluate (7/(-42)*1)/(-4*(-30)/(-144)). 1/5 What is the value of 155/35 - 12/126*-6? 5 What is (5 - 5) + ((-1)/(-8))/((-32)/(-256))? 1 ((-24)/(-6) - 5)/((-19)/(-589)) - 5 -36 What is the value of 14/(-8) - 2064/(-192)? 9 Evaluate (-471)/(-93) - 5 - 5920/(-496). 12 Calculate (-148)/11 + 12/(-22). -14 Evaluate ((-3)/39 - 0)/((-35)/(-70)). -2/13 What is ((-448)/(-40) - 10)*(-45)/27? -2 What is (36/(-12))/(-47 - -34)? 3/13 What is the value of -5*(-3)/30 - 30/(-4)? 8 (-4)/(-12) - 4489/201 -22 Evaluate (8 + (3 - -2) + -19)*(-4)/(-45). -8/15 What is the value of (-1251)/(-417)*1/(-1)? -3 What is (848/53)/32 + -2 + 7/(-2)? -5 What is -17*((-10)/(-40))/((-68)/48) + 2? 5 What is the value of ((24/(-20))/((-80)/(-1400)))/1? -21 What is (-42)/77 + 48/22*(-96)/(-252)? 2/7 What is the value of (-4)/(-18)*(-1260)/1680? -1/6 What is the value of (56 + -2)/9 + 4/((-64)/90)? 3/8 11 - (14/(-1) - 416/(-32)) 12 What is 352/(-16)*((-11)/(-2))/11? -11 Evaluate (-1485)/(-330)*(3/9 + -1)*1. -3 (3 - 5) + (4590/15)/(-18) -19 What is the value of (-4875)/225*3/(-13)? 5 Calculate (2/14)/((-2)/(-46)) - (-5868 + 5873). -12/7 Calculate ((-12896)/(-3627))/((-2)/(-9)). 16 (-12688)/854 - (-4)/(-4)*-13 -13/7 What is the value of -82*(-5)/(-76) - 10*(-1)/(-95)? -11/2 Calculate 6/(-39)*((-153)/(-68))/((-9)/(-2)). -1/13 (1089/14)/(-11) + (14 - (3 - -4)) -1/14 What is the value of (182/273)/(13/5 - 3)? -5/3 Calculate (-210)/15 + 32/2 + (-14)/4. -3/2 ((-1)/(-3))/(1/(-6)) -2 What is ((-3)/153)/((7 - 9)*12/(-216))? -3/17 (-4)/(-21) + 83104/82320 6/5 What is 9/(-405)*-15*(-1 - -4)? 1 Calculate 13/(-28) - 61/(3904/(-48)). 2/7 Evaluate 5810/490 + (-7)/(-49). 12 Evaluate 84/(-36) - ((-25)/(-15) - 3). -1 What is the value of (0 - (-1)/2)*((-108)/12 + 7)? -1 What is (-682)/124 + 22/4 - (-11 + -2)? 13 Calculate (25/(-20))/(((-260)/(-24))/((-48)/36)). 2/13 Evaluate (-36)/216*33/2. -11/4 Calculate (-1434)/239 + 2*2 + (0 - 0). -2 What is the value of (2/2)/(3/(-6) + (-3)/(-5))? 10 Evaluate 1/34*302/1 + 25 + -34. -2/17 What is (-2)/(-90) + 124074/(-24705)? -5 What is 40 + -21 + -23 - 76/(-22)? -6/11 What is 172/9*-18*(-15)/(-720) - -8? 5/6 Evaluate (-7 + 290/40 - 0)*(-88)/(-2). 11 Calculate (-1 - 28/(-40))/(592/2220). -9/8 Calculate (1 - 27/(-12) - 4) + 212/(-16). -14 What is the value of (4/14)/((-664)/1743) + (-5)/(-12)? -1/3 Evaluate ((-783)/27)/87*(-28)/(-21). -4/9 Calculate (11/(77/(-6)))/((-10)/70*1). 6 Evaluate (36/12)/(19 + -22). -1 Evaluate 2 - (270/25)/9 - (-16)/55. 12/11 What is (344/(-84) + 3 - -1)/(144/336)? -2/9 (-861)/(-41) + ((-6)/(-1))/(-3 - -1) 18 Evaluate ((-19)/(-76))/((-11 + 16)*(-1)/8). -2/5 -11 + 19 + -11 - (-11)/1 8 What is the value of -4*(((-135)/63)/3)/(2/7)? 10 2816/(-385) + 9 - (-9)/15 16/7 Calculate -2 + 0 + 1221/110 - 9. 1/10 What is ((-17)/6 + 3)/(0 + (-5)/(-4))? 2/15 (-65)/4 + ((-15)/20 - -1) -16 (240/9)/8*33/5 22 What is -41
{ "pile_set_name": "DM Mathematics" }
is prob of sequence sjs when three letters picked without replacement from {s: 6, j: 4}? 1/6 Four letters picked without replacement from nnmnnnmn. What is prob of sequence nmmn? 1/28 Calculate prob of sequence yyj when three letters picked without replacement from {j: 1, y: 2}. 1/3 Three letters picked without replacement from {t: 1, u: 1, k: 1, w: 1, l: 1}. Give prob of sequence kut. 1/60 What is prob of sequence rooo when four letters picked without replacement from ororrrrrrrrrrrrroorr? 16/4845 Calculate prob of sequence qxs when three letters picked without replacement from sgunuxsnnnnuqugqu. 1/1020 What is prob of sequence ii when two letters picked without replacement from iiioioiroidr? 5/22 Four letters picked without replacement from llmlmllmmlmlmlllmmm. What is prob of sequence lmlm? 45/646 Four letters picked without replacement from {h: 1, e: 1, u: 1, q: 4, y: 1}. What is prob of sequence qhqe? 1/140 Four letters picked without replacement from yyxyxxxyyyxy. Give prob of sequence yyxx. 7/99 Three letters picked without replacement from {t: 2, l: 2, o: 1, x: 2, f: 1, q: 10}. What is prob of sequence tqo? 5/1224 Two letters picked without replacement from {v: 2, k: 6, n: 11}. Give prob of sequence kv. 2/57 Two letters picked without replacement from {i: 6, k: 2, u: 5, p: 3, l: 1}. What is prob of sequence kp? 3/136 Two letters picked without replacement from nqnnanneneqn. Give prob of sequence en. 7/66 Two letters picked without replacement from ybybbybbbbybby. Give prob of sequence by. 45/182 Calculate prob of sequence ynny when four letters picked without replacement from yyyyyyyyyyyyyyynnyy. 1/171 Three letters picked without replacement from {q: 3, d: 2}. Give prob of sequence qqd. 1/5 Four letters picked without replacement from hvvvhvh. Give prob of sequence hhhv. 1/35 Four letters picked without replacement from {g: 4, j: 3, l: 1, y: 2}. What is prob of sequence gjjl? 1/210 Calculate prob of sequence sdoo when four letters picked without replacement from {o: 1, h: 2, x: 1, s: 1, t: 1, d: 1}. 0 Three letters picked without replacement from tdjdwtwdd. Give prob of sequence dwd. 1/21 Two letters picked without replacement from qohq. Give prob of sequence qq. 1/6 Three letters picked without replacement from {m: 5, h: 5, t: 1}. What is prob of sequence hht? 2/99 Two letters picked without replacement from fggggfggfg. Give prob of sequence gf. 7/30 Two letters picked without replacement from npnn. What is prob of sequence pn? 1/4 Two letters picked without replacement from opobbbboobbbbobpo. What is prob of sequence pb? 9/136 Calculate prob of sequence bulr when four letters picked without replacement from {r: 3, u: 3, l: 4, b: 10}. 1/323 Two letters picked without replacement from ckhcmhhhcckhh. What is prob of sequence mk? 1/78 Calculate prob of sequence ai when two letters picked without replacement from {n: 2, f: 1, r: 3, i: 4, a: 7}. 7/68 Calculate prob of sequence waw when three letters picked without replacement from wwwawwwwwwwwwawwww. 5/51 Two letters picked without replacement from {a: 3, z: 4}. Give prob of sequence az. 2/7 Four letters picked without replacement from {g: 3, m: 7}. What is prob of sequence gmgm? 1/20 Two letters picked without replacement from vvgvvvgviivvgijwvjl. What is prob of sequence lw? 1/342 Three letters picked without replacement from {j: 2, c: 1, t: 7, y: 3, u: 1}. What is prob of sequence uct? 1/312 What is prob of sequence btt when three letters picked without replacement from {a: 1, t: 4, b: 2, j: 4}? 4/165 What is prob of sequence ir when two letters picked without replacement from wwhwrwrhwiwww? 1/78 What is prob of sequence xtqt when four letters picked without replacement from tqttttqqxq? 1/63 Calculate prob of sequence wwe when three letters picked without replacement from eeewew. 1/15 What is prob of sequence xhhw when four letters picked without replacement from {w: 7, x: 4, h: 4}? 2/195 Three letters picked without replacement from jyvgm. Give prob of sequence jgy. 1/60 What is prob of sequence yi when two letters picked without replacement from {f: 1, t: 2, b: 2, y: 5, s: 2, i: 1}? 5/156 Three letters picked without replacement from {g: 2, s: 4, h: 1}. What is prob of sequence hgs? 4/105 Three letters picked without replacement from fjfbfbbffbfbfbbj. Give prob of sequence jjf. 1/240 Two letters picked without replacement from {j: 2, h: 1, b: 2, k: 1, a: 1}. Give prob of sequence ah. 1/42 Calculate prob of sequence brbr when four letters picked without replacement from {b: 3, r: 9}. 2/55 What is prob of sequence fff when three letters picked without replacement from fppffff? 2/7 Four letters picked without replacement from cxxccccccxrxubuc. Give prob of sequence cucb. 1/390 Three letters picked without replacement from {g: 3, f: 5, s: 1, d: 7, y: 3}. What is prob of sequence dfs? 35/5814 Two letters picked without replacement from aoppouau. What is prob of sequence po? 1/14 Two letters picked without replacement from {g: 1, n: 14}. What is prob of sequence ng? 1/15 What is prob of sequence aaa when three letters picked without replacement from aaaaaaawawaawaww? 33/112 Two letters picked without replacement from pwwoqmum. What is prob of sequence om? 1/28 Three letters picked without replacement from {x: 1, k: 1, h: 1, u: 1, z: 1}. What is prob of sequence hkz? 1/60 What is prob of sequence fgg when three letters picked without replacement from ffgfgg? 3/20 Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj. 1 Four letters picked without replacement from acxeeeecexaea. What is prob of sequence aaea? 3/1430 What is prob of sequence db when two letters picked without replacement from pdpibdvphddh? 1/33 Four letters picked without replacement from nqbqnhfvqfhq. Give prob of sequence bqhf. 2/1485 Calculate prob of sequence jrtn when four letters picked without replacement from snrrrrrjjtntvnj. 1/364 Calculate prob of sequence uzs when three letters picked without replacement from wwwzznswzzuzuwww. 1/336 Two letters picked without replacement from dpddpp. What is prob of sequence pd? 3/10 Calculate prob of sequence aroo when four letters picked without replacement from {v: 3, w: 1, o: 3, a: 1, r: 5}. 1/572 What is prob of sequence jjjo when four letters picked without replacement from {i: 1, j: 3, o: 2, s: 10}? 1/3640 Four letters picked without replacement from {e: 1, t: 2, n: 4, l: 3}. What is prob of sequence ltel? 1/420 What is prob of sequence lj when two letters picked without replacement from jclljlllyejl? 3/22 What is prob of sequence qqqq when four letters picked without replacement from {q: 10}? 1 Two letters picked without replacement from gbbbgbg. Give prob of sequence gb. 2/7 Calculate prob of sequence kvg when three letters picked without replacement from pggzkvz. 1/105 What is prob of sequence fhfe when four letters picked without replacement from {e: 4, f: 2, h: 4}? 2/315 Four letters picked without replacement from nmnmxy. What is prob of sequence nymn? 1/90 Calculate prob of sequence jl when two letters picked without replacement from {j: 2, o: 2, l: 1}. 1/10 Calculate prob of sequence mhvv when four letters picked without replacement from {h: 1, v: 11, m: 5}. 55/5712 Two letters picked without replacement from {q: 2, n: 3, f: 1, e: 8, z: 5}. Give prob of sequence qn. 1/57 Four letters picked without replacement from {l: 3, o: 1, i: 5, f: 4}. What is prob of sequence olfl? 1/715 Calculate prob of sequence te when two letters picked without replacement from {t: 3, e: 1, i: 1}. 3/20 Calculate prob of sequence qgg when three letters picked without replacement from {g: 7, q: 5}. 7/44 Two letters picked without replacement from xxzxxzzxxx. Give prob of sequence xz. 7/30 What is prob of sequence rzzp when four letters picked without replacement from {z: 9, y: 4, t: 2, p: 3, r: 1}? 3/1292 Three letters picked without replacement from nnonccgzjjzngzj. Give prob of sequence jzg. 3/455 What is prob of sequence ggg when three letters picked without replacement from gggggggggg? 1 Three letters picked without replacement from yaratiw. Give prob of sequence wia. 1/105 Calculate prob of sequence rtt when three letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
493. 3, 73, 3847 What are the prime factors of 34381? 34381 List the prime factors of 8037506. 2, 4018753 List the prime factors of 174408. 2, 3, 13, 43 List the prime factors of 51053. 19, 2687 List the prime factors of 270452. 2, 7, 13, 743 What are the prime factors of 1286435? 5, 257287 What are the prime factors of 338553? 3, 12539 What are the prime factors of 518353? 11, 47123 List the prime factors of 12388765. 5, 41, 223, 271 What are the prime factors of 139174? 2, 7, 9941 List the prime factors of 2328770. 2, 5, 232877 What are the prime factors of 20342793? 3, 6780931 List the prime factors of 413540. 2, 5, 23, 29, 31 What are the prime factors of 2176793? 137, 15889 What are the prime factors of 651483? 3, 7, 383 What are the prime factors of 203344? 2, 71, 179 List the prime factors of 941590. 2, 5, 13, 7243 What are the prime factors of 525419? 17, 31, 997 List the prime factors of 2676144. 2, 3, 127, 439 List the prime factors of 1463775. 3, 5, 29, 673 What are the prime factors of 41362825? 5, 7, 71, 3329 List the prime factors of 552939. 3, 149, 1237 List the prime factors of 10906317. 3, 1211813 What are the prime factors of 3645931? 47, 77573 What are the prime factors of 2829516? 2, 3, 235793 List the prime factors of 27397. 27397 What are the prime factors of 75787? 75787 List the prime factors of 6915249. 3, 11, 23, 3037 What are the prime factors of 600882? 2, 3, 17, 43, 137 What are the prime factors of 3092305? 5, 89, 6949 What are the prime factors of 1326727? 1326727 What are the prime factors of 236707? 236707 What are the prime factors of 15134864? 2, 945929 List the prime factors of 1726226. 2, 19, 45427 List the prime factors of 175268. 2, 43, 1019 List the prime factors of 2408312. 2, 301039 List the prime factors of 213933. 3, 29, 2459 List the prime factors of 12490094. 2, 6245047 List the prime factors of 458443. 359, 1277 What are the prime factors of 20437? 107, 191 List the prime factors of 41038. 2, 17, 71 What are the prime factors of 11198245? 5, 2239649 What are the prime factors of 2473531? 151, 16381 List the prime factors of 8387528. 2, 17, 61673 List the prime factors of 13038753. 3, 7, 13, 6823 List the prime factors of 31849661. 41, 53, 14657 What are the prime factors of 4282612? 2, 53, 20201 What are the prime factors of 3472498? 2, 139, 12491 What are the prime factors of 21239259? 3, 439, 16127 What are the prime factors of 1028993? 7, 17, 8647 What are the prime factors of 1083369? 3, 7, 23, 2243 List the prime factors of 525884. 2, 31, 4241 List the prime factors of 9135. 3, 5, 7, 29 List the prime factors of 600865. 5, 17, 7069 List the prime factors of 121490. 2, 5, 12149 What are the prime factors of 776275? 5, 31051 What are the prime factors of 1550333? 41, 37813 What are the prime factors of 1200543? 3, 139, 2879 What are the prime factors of 1121582? 2, 7, 11, 7283 List the prime factors of 1905647. 109, 17483 List the prime factors of 31999. 11, 2909 List the prime factors of 6390125. 5, 7, 67, 109 List the prime factors of 671689. 359, 1871 What are the prime factors of 168575? 5, 11, 613 List the prime factors of 11630726. 2, 43, 135241 What are the prime factors of 362197? 11, 19, 1733 List the prime factors of 1019632. 2, 63727 What are the prime factors of 4680831? 3, 17, 91781 List the prime factors of 256272. 2, 3, 19, 281 What are the prime factors of 1043141? 11, 37, 233 What are the prime factors of 77489? 77489 What are the prime factors of 174699? 3, 7, 47, 59 List the prime factors of 148325. 5, 17, 349 What are the prime factors of 343981? 11, 31271 List the prime factors of 57206. 2, 28603 List the prime factors of 795919. 73, 10903 What are the prime factors of 1571249? 29, 54181 List the prime factors of 330103. 330103 List the prime factors of 6944822. 2, 3472411 List the prime factors of 1842758. 2, 921379 What are the prime factors of 129909? 3, 13, 3331 List the prime factors of 2140905. 3, 5, 13, 10979 List the prime factors of 877984. 2, 27437 List the prime factors of 669188. 2, 13, 17, 757 List the prime factors of 5060559. 3, 7, 397, 607 List the prime factors of 668698. 2, 334349 What are the prime factors of 9098950? 2, 5, 7, 25997 What are the prime factors of 1759335? 3, 5, 53, 2213 List the prime factors of 1003395. 3, 5, 151, 443 List the prime factors of 2123789. 47, 73, 619 List the prime factors of 2528602. 2, 1264301 List the prime factors of 335977. 19, 17683 What are the prime factors of 20913197? 3257, 6421 List the prime factors of 4139915. 5, 13, 63691 What are the prime factors of 19919155? 5, 17, 234343 What are the prime factors of 157262? 2, 7, 47, 239 List the prime factors of 641924. 2, 160481 What are the prime factors of 2719311? 3, 7, 129491 What are the prime factors of 287473? 103, 2791 List the prime factors of 3079000. 2, 5, 3079 What are the prime factors of 1085635? 5, 179, 1213 What are the prime factors of 1631117? 1631117 List the prime factors of 9012142. 2, 17, 73, 3631 What are the prime factors of 552936? 2, 3, 23039 What are the prime factors of 624767? 11, 13, 17, 257 List the prime factors of 236165. 5, 149, 317 List the prime factors of 10960219. 10960219 What are the prime factors of 104820? 2, 3, 5, 1747 List the prime factors of 369023. 369023 List the prime factors of 3065153. 7, 13, 2591 List the prime factors of 3881268. 2, 3, 131, 823 What are the prime factors of 672023? 11, 199, 307 List the prime factors of 12247946. 2, 61, 100393 What are the prime factors of 4970947? 4970947 What are the prime factors of 3731286? 2, 3, 13, 47837 What are the prime factors of 12213393? 3, 367, 11093 What are the prime factors of 619603? 619603 What are the prime factors of 213209? 213209 What are the prime factors of 1163904? 2, 3, 7, 433 What are the prime factors of 224250? 2, 3, 5, 13, 23 What are the prime factors of 4486182? 2, 3, 233, 3209 List the prime factors of 5078171. 7, 43, 16871 What are the prime factors of 178750? 2, 5, 11, 13 List the prime factors of 891870. 2, 3, 5, 7, 31, 137 What are the prime factors of 8525935? 5, 11, 155017 What are the prime factors of 2245895? 5, 19, 47, 503 List the prime factors of 487588. 2, 79, 1543 List the prime factors of 555946. 2, 137, 2029 List the prime factors of 750972. 2, 3, 62581 List the prime factors of 156841. 156841 What are the prime factors of 1298864? 2, 7, 11597 What are the prime factors of 612585? 3, 5, 13613 What are the prime factors of 27642054? 2, 3, 11, 418819 What are the prime factors of 544181? 11, 61, 811 List the prime factors of 242398. 2, 13, 9323 What are the prime factors of 482295? 3, 5, 11, 37, 79 List the prime factors of 2231377. 313, 7129 What are the prime factors of 9227903? 1063, 8681 What are the prime factors of 24524? 2, 6131 List the prime factors of 1523082. 2, 3, 11, 47, 491 List the prime factors of 1014583. 379, 2677 List the prime factors of 331456. 2, 5179 What are the prime factors of 4393227? 3, 31, 97, 487 List the prime factors of 21324776. 2, 11, 31, 7817 List the prime factors of 1540574. 2, 7, 17, 6473 List the prime factors of 4654719. 3, 17, 10141 List the prime factors of 454926. 2, 3, 75821 List the prime factors of 5842944. 2, 3, 317 List the prime factors of 364879. 364879 What are the prime factors of 529500? 2, 3, 5, 353 List the prime factors of 226885. 5, 45377 What are the prime factors of 212731? 199, 1069 List the prime factors of 239142. 2, 3, 39857 List the prime factors of 540869. 7, 77267 What are the prime factors of 10351263? 3, 13, 265417 What are the prime factors of 542593? 23, 31, 761 What are the prime factors of 897300? 2, 3, 5, 997 What are the prime factors of 1515462? 2, 3, 13, 19429 What are the prime factors of 1129493? 19, 59447 What are the prime factors of 2423403? 3, 293, 919 List the prime factors of 808765. 5, 161753 What are the prime factors of 544312? 2, 19, 3581 What are the prime factors of 7882736? 2, 492671 List the prime factors of 96796. 2, 7, 3457 List the prime factors of 365675. 5, 14627 What are the prime factors of 681994? 2, 41, 8317 List the prime factors of 324653. 7, 19, 2441 List the prime factors of 3287269. 79, 41611 List the prime factors of 641128. 2, 80
{ "pile_set_name": "DM Mathematics" }
31 prime? True Is 776249 composite? False Is 381577517 prime? True Is 29327 a prime number? True Is 787537621 a composite number? True Is 482269 prime? False Is 33377657 a prime number? False Is 3932873 a composite number? True Is 9366671 composite? False Is 6271511 a prime number? False Is 3025955 prime? False Is 11237351 a composite number? False Is 1256837 composite? False Is 79333691 a composite number? True Is 8430329 a composite number? True Is 5741867 a prime number? False Is 20549297 a composite number? False Is 2059697 a prime number? True Is 523013 a composite number? True Is 15103861 composite? True Is 629483 a prime number? True Is 935821 prime? False Is 1810117 composite? True Is 97393651 composite? False Is 88771 composite? False Is 1000757 composite? True Is 6480163 a composite number? False Is 11900233 composite? True Is 6345841 prime? False Is 10942433 a prime number? False Is 32222681 a composite number? False Is 635258887 composite? False Is 170084674 prime? False Is 2084497 a prime number? False Is 1178071 a prime number? False Is 160358938 a prime number? False Is 7131349 a composite number? False Is 348317 prime? False Is 5671461 composite? True Is 16817 composite? True Is 80790067 a prime number? True Is 12457433 prime? False Is 121325441 a prime number? False Is 7110619 composite? False Is 20579513 a composite number? False Is 41934517 a prime number? False Is 213874939 prime? True Is 86498257 a composite number? True Is 59892211 a composite number? False Is 4475747 a composite number? False Is 345744089 a composite number? False Is 5054047 a composite number? False Is 129603757 composite? False Is 18455773 composite? True Is 8365937 a composite number? True Is 3411349 a composite number? False Is 6966709 a composite number? True Is 278863943 composite? False Is 18390661 prime? True Is 34264379 a composite number? False Is 634529791 prime? False Is 6897481 prime? False Is 4349023 prime? False Is 227606969 a prime number? True Is 119820499 composite? True Is 39312709 composite? False Is 55563311 a composite number? False Is 97478621 a composite number? True Is 108151657 a prime number? True Is 851 a composite number? True Is 271791803 a prime number? True Is 310223 prime? True Is 16996531 a composite number? False Is 10040343 a prime number? False Is 11517521 prime? False Is 56227357 composite? True Is 3796997 prime? True Is 13789663 a prime number? True Is 3074269 composite? True Is 428343199 prime? True Is 61067319 composite? True Is 326286517 prime? True Is 79974679 a composite number? True Is 11351091 a composite number? True Is 84761977 composite? False Is 1420409831 a prime number? True Is 5229985 prime? False Is 39859609 prime? True Is 803624099 prime? True Is 19451903 a composite number? False Is 6655433 a prime number? False Is 1862953 a prime number? True Is 7221649 composite? False Is 20361023 a composite number? True Is 11271893 prime? True Is 121247161 a composite number? True Is 1859255 prime? False Is 7430359 composite? True Is 1195097 a composite number? True Is 30471341 composite? False Is 319673 a prime number? True Is 588206 prime? False Is 12739511 a composite number? True Is 1465987 a prime number? True Is 17896117 composite? False Is 5607361 a prime number? True Is 178216459 composite? False Is 780671 a prime number? True Is 27145099 composite? False Is 117348407 a composite number? True Is 15322409 prime? False Is 8549615 composite? True Is 102964717 a composite number? True Is 11918215 prime? False Is 1193081 a prime number? True Is 3503699 prime? True Is 3300097 composite? False Is 1451321 a composite number? False Is 142336237 composite? True Is 2176543 a composite number? False Is 3406099 a composite number? False Is 6810877 composite? False Is 2183417 a composite number? False Is 24005591 a composite number? True Is 1390751 composite? True Is 5581 composite? False Is 139509919 a composite number? False Is 104076619 a composite number? False Is 2521733 a prime number? True Is 6418967 a prime number? True Is 61020353 prime? False Is 2776017 prime? False Is 3291419 a prime number? False Is 5420269 composite? True Is 31294058 a composite number? True Is 7745995 prime? False Is 26463881 composite? False Is 5227017 a prime number? False Is 3398477 a composite number? False Is 19992407 prime? True Is 3885949 prime? False Is 10874047 a composite number? False Is 144313319 a prime number? True Is 65147131 composite? True Is 346783637 composite? False Is 5771773 composite? True Is 4655623 prime? False Is 12311987 a composite number? True Is 17059079 a prime number? False Is 11340491 prime? True Is 1261061 prime? False Is 11003809 composite? False Is 168290321 a composite number? False Is 1054505 a prime number? False Is 281661 prime? False Is 20422309 a prime number? True Is 6759397 a composite number? False Is 102421573 a composite number? False Is 402153319 composite? False Is 350891 a composite number? False Is 76886641 a prime number? False Is 255556621 prime? True Is 1040279 prime? False Is 4252411 composite? True Is 1131985 composite? True Is 72737 a prime number? False Is 1187798 composite? True Is 62709871 prime? False Is 138093293 a prime number? False Is 10192529 a prime number? False Is 37255703 prime? True Is 11587559 a prime number? False Is 19303961 a composite number? False Is 31454513 prime? True Is 2694817 a composite number? True Is 122787677 a prime number? True Is 42540599 composite? True Is 995903 a composite number? False Is 53176261 prime? True Is 351829 a composite number? False Is 12262247 a prime number? False Is 190562783 composite? False Is 130219 a prime number? False Is 23800811 a prime number? False Is 331607119 prime? True Is 834023 composite? False Is 309521 a composite number? False Is 3965513 a composite number? True Is 443613907 a composite number? True Is 63158239 a composite number? False Is 23304713 composite? False Is 931153 composite? False Is 32829739 prime? False Is 18487141 composite? True Is 267714199 a composite number? True Is 48940007 a composite number? False Is 30086657 composite? False Is 11194991 a composite number? True Is 1283473 a prime number? True Is 32780983 a composite number? True Is 324788155 composite? True Is 7864667 a composite number? True Is 137163331 a prime number? False Is 2800817 a prime number? False Is 43009487 prime? True Is 27294781 prime? True Is 8797093 a prime number? False Is 107771 composite? True Is 22201163 a composite number? True Is 32980567 composite? False Is 372605 prime? False Is 5710867 prime? False Is 1462417 a prime number? False Is 21178705 a composite number? True Is 378398 prime? False Is 3648833 prime? True Is 7412033 a composite number? True Is 882769 a composite number? True Is 21311515 prime? False Is 67252489 prime? True Is 108675689 composite? False Is 31956167 prime? True Is 80570213 prime? True Is 125052743 a prime number? False Is 51552799 composite? True Is 452113 prime? False Is 15388501 a composite number? False Is 2642782 prime? False Is 1562347 a composite number? False Is 6482479 composite? False Is 2965199 a prime number? True Is 3049039 a prime number? False Is 622684741 prime? False Is 650759 a composite number? False Is 86399 composite? False Is 1915877 a prime number? False Is 380934877 a prime number? True Is 41566121 prime? True Is 21417659 a prime number? True Is 24007751 a composite number? False Is 8436937 a composite number? False Is 75525211 composite? False Is 418163063 composite? True Is 1677649 prime? False Is 4819279 composite? True Is 165877 prime? True Is 156056378 a composite number? True Is 1238267323 a composite number? False Is 30349993 composite? False Is 1287239177 a composite number? True Is 388499 a composite number? False Is 10997503 prime? False Is 104389799 prime? True Is 385482569 a prime number? True Is 540594559 a prime number? True Is 317081797 a prime number? True Is 18806429 a prime number? False Is 59441 a composite number? False Is 9197053 composite? True Is 1254269 prime? True Is 47750957 composite? False Is 210416477 prime? False Is 119870381 prime? True Is 451472299 a prime number? True Is 14412433 a prime number? False Is 4441387 a composite number? Fa
{ "pile_set_name": "DM Mathematics" }
e d*j = 2 + 1 for j. 1 Let r(y) be the second derivative of -y**3/3 + y**2 - y. Let a be r(-4). Suppose 2*t - 25*c + 26*c - 5 = 0, 0 = -2*t + 2*c + 2. Solve 0*z = t*z - a for z. 5 Let k be (30/(-25))/((-2)/15). Suppose -k = -2*f + 3. Let r be (-4)/(-12)*2*f. Solve 5*o + r + 16 = 0 for o. -4 Let y = 91 - 82. Suppose -3*d - 3 = 3*g - 24, 3*d - y = g. Solve j + g = 8 for j. 5 Let l(m) = -m - 10. Let c be l(-13). Suppose 7*q - c*q = x + 80, 0 = 3*x. Solve -3*o - o = -q for o. 5 Suppose 3*u = -95*l + 96*l + 1, -3*l + 4*u = -7. Solve l = 4*f - 3*f for f. 5 Suppose 4*j - 5 = -q + 6, -5*j = 5*q - 10. Let r be (2/(-3)*q)/(8/12). Solve 0 = 5*k - 19 - r for k. 4 Suppose -h = -3*h + 74. Let u = -33 + h. Solve m - 9 = -u for m. 5 Let w(d) = -d - 1 - 2*d**2 - 2*d**3 + 0 - 5*d**3 - d. Let k be w(-1). Let h be 62/93*(6 - 0) - 2. Solve h*u = k*u for u. 0 Let v be ((-6)/4)/(3/6). Let o(h) = -h**3 + 21*h**2 + 23*h - 47. Let m be o(22). Let k be (-1)/v + m/(-15). Solve b - k*b = -2 for b. 2 Let w = 174 - 167. Let s(i) = i**3 - 10*i**2 + 22*i + 4. Let t be s(w). Solve 1 = 4*d - t for d. 3 Let o be (65/25)/(12/60). Solve -o = -3*h - 4 for h. 3 Suppose -a + 0*a + 2 = 0. Suppose 0*f = -4*f - 20, 0 = s - a*f - 12. Solve -22 = 5*p - s for p. -4 Suppose -5*t + 9 + 16 = 0. Let b(i) = -i. Let v be b(t). Let d be (-9)/45 + (-6)/v. Solve q + 0 = -d for q. -1 Suppose -4*f + 4*f = -27*f. Solve f = -3*w + 3 for w. 1 Let q(x) = -x**3 - 29*x**2 - 3*x - 32. Let s be q(-29). Solve s = 32*l - 21*l for l. 5 Suppose -4*y + 5 = -9*y, 0 = -3*b - 5*y + 103. Let u be (-6)/(-15) - b/(-10). Suppose 4*f - 16 = -2*s, u*s - 2*f - 14 = -4*f. Solve h = s*h + 1 for h. -1 Suppose 0 = -9*x + 30 - 111. Let d(g) = g**3 + 8*g**2 - 8*g + 13. Let k be d(x). Solve -2*h + 6*h + k = 0 for h. -1 Let v = -25 - -30. Let y(d) = d**3 - 2*d**2 + d + 1. Let r be y(3). Suppose -4*j - 14 = -5*c - 0*c, 4*c = 5*j + r. Solve v*a + 6 = c*a for a. -2 Suppose -25 = -3*g - 2*g. Suppose -g = c, c = -5*o + 2*c + 30. Solve -k = -o*k - 20 for k. -5 Let g(t) = 3*t + 9. Let x(l) = 4*l + 8. Let u(h) = -6*g(h) + 4*x(h). Let a be u(-16). Let k be (-12)/(-9) + a/15. Solve -2*y + k = -2 for y. 2 Let f(x) = -x**3 - 17*x**2 - 19*x - 21. Let z be f(-16). Solve a + 23 = z for a. 4 Let w(l) be the third derivative of -l**6/120 + 7*l**5/60 + 7*l**4/24 + 4*l**3/3 + 4*l**2. Let d be w(8). Solve -n - 2 - 2 = d for n. -4 Let s(o) = -o**2 + 8*o - 10*o - 9 + 16*o. Let j be s(13). Solve -j*b = -2*b for b. 0 Suppose 2*h - 107 = -5*c, -66 = 11*c - 14*c - 3*h. Solve 4 + c = 5*l for l. 5 Suppose -7 = -29*h + 109. Solve -h = v - 0*v for v. -4 Suppose -2*c = -7*c - 5. Let f be c*(-4 - -1 - -1). Solve -3*j - 13 - f = 0 for j. -5 Suppose -3*n - 3 = 6, 3*n = -i - 15. Suppose 57 = 6*u - 9. Let k = u + i. Solve k*y + 8 - 3 = 0 for y. -1 Let v(w) = w**2 - 24*w + 116. Let h be v(5). Solve 15 = -h*u + 18*u for u. -5 Let f be 136/68 - (-1 + 3). Let x(g) = 2*g**3 - 2*g**2 + g - 2. Let b be x(2). Solve f = v - 3*v + b for v. 4 Let p = -23 - -35. Let i be ((-3)/2)/(p/(-32)). Solve -i*t + 1 = 9 for t. -2 Let t be -4 - -2 - 15/(-10)*6. Solve -4*q + t*q - 6 = 0 for q. 2 Let z be (18/(-3))/((-3)/2). Suppose -4*q - 3*g = 2*g, 9 = 5*q + z*g. Suppose d - l + 2*l = -5, -l - 5 = q*d. Solve d = -3*x - x for x. 0 Let f = 260 - 255. Let l(h) = 4*h. Let a(c) = 5*c. Let w(s) = -3*a(s) + 4*l(s). Let t be w(f). Solve -t*r = -1 + 16 for r. -3 Let c(v) = v**3 - 12*v**2 + 9*v + 24. Let p be c(11). Suppose 2*i - 2*d + 6 = 0, p*i + 0 = d - 1. Solve h = -i*h + 9 for h. 3 Suppose -k = 2*k + z - 35, -5*k = -2*z - 73. Let p = -26 + 28. Solve -3 + k = p*g for g. 5 Let a(q) = -20*q - 297. Let f be a(-15). Solve -f*d + 13*d - 50 = 0 for d. 5 Let h be 1*4 + -7 + 7. Suppose -3*p = 2*m - 31, -2*m + 88 = 3*m + h*p. Suppose -3*g = -3*a - 21, 4*g = a + 4*a + 32. Solve g*o = -o + m for o. 5 Suppose -155*d + 190*d = 2170. Solve 3*z - d = -74 for z. -4 Let g = -13 + 15. Suppose -x + g*x = 5, -3*s - 2*x + 22 = 0. Solve s*k = 15 - 3 for k. 3 Let a(z) = -2*z + 6. Let f(o) = -6*o + 18. Let q(x) = 14*a(x) - 5*f(x). Let s(y) = y - 1. Let d be s(6). Let m be q(d). Solve m - 7 = k for k. -3 Let x be (-456)/(-190)*(-5)/(-2). Solve -40 = -2*j - x*j for j. 5 Suppose -2*a = -h, -5*a = -3*h - 3 + 4. Suppose h*o - 6*o + 16 = 0. Solve -7*s + o*s = 12 for s. -4 Suppose 0 = -14*h + 1320 - 116. Solve 0 = -h*r + 81*r + 15 for r. 3 Let w be (16/(-136))/((-6)/51). Solve -k = -2*k - w for k. -1 Let k be 21/12 + 0 + 5/20. Let t = 8 - 4. Solve t*w = k*w - 4 for w. -2 Let z be 7 - (-7 + 5 - -7). Let i = 0 + 5. Suppose 13 = t + 5*l - 7, -2*t + 25 = -i*l. Solve -3*x + t = z*x for x. 3 Suppose 105 = 3*b + 3*i, i - 100 = -3*b - i. Let l = -26 + b. Solve 0 = l*k - 8 for k. 2 Let z = -395 + 399. Solve -z*h - 2*h = -12 for h. 2 Let b(r) = -8*r + 5. Let k(m) = 17*m - 10. Let d(l) = -5*b(l) - 2*k(l). Suppose -3*t = -4*n - 3, 4*t - n = 8*t - 23. Let p be d(t). Solve p - 5 = 5*z for z. 4 Let w = 85 - 81. Solve 5*b + 9 = w for b. -1 Let j = -3 + 15. Let s = j + -10. Let z(u) = 2*u**2 + 2*u. Let t be z(s). Solve 0 = 5*l - t - 13 for l. 5 Let z = -261 - -268. Solve z*k = -1 + 29 for k. 4 Let r(j) = -5*j + 16*j - 3*j + 6 + j**2. Let g be r(-11). Let p = g + -35. Solve 0 = p*s + s - 15 for s. 3 Let a be 855/30 - (1/2 - -1). Suppose 0 = -4*j + 8 - 32. Let m be (-104)/(-18) - j/a. Solve 0*y = 3*y + m for y. -2 Let y = 7 + -3. Suppose -6*f + 56 = -2*f. Let s be (-2)/f - 748/(-238). Solve -7*t + y = -s*t for t. 1 Let l(g) = 7*g**2 - 3. Let q be l(1). Solve q*m = -0 - 20 for m. -5 Let i = -28 - -31. Suppose 10*z - 14 = i*z. Solve z*l + 2*l = 4 for l. 1 Let r(l) = -l**3 + 9*l**2 - 16*l + 16. Let h be r(7). Suppose 2*d - 4 = 14. Solve -h*z = z - d for z. 3 Let v(r) = -6*r + 1. Let m be v(2). Let w = m + 14. Solve -w*i = -4 + 16 for i. -4 Suppose -c = -9 + 1. Suppose -2*z + 4 = -3*b, b + b = -4*z + c. Solve -u + 3 = z for u. 1 Suppose -5*z = 2*r - 9, r + r = 4*z. Suppose z = 2*l - 1. Let d = 582 - 580. Solve 0 = d*y - l - 1 for y. 1 Let k be (-4)/2 - (3 + -5). Let t = -76 + 79. Suppose -3*q + 18 = -9. Solve k*b + q = t*b for b. 3 Let b = 241 + -235. Solve -2*n + b*n = 8 for n. 2 Suppose -2*g + 6*g - 12 = 0, -3*u + 3*g = -3. Let l be 1/(4*u/80). Solve -o + 8 = -l*o for o. -2 Let l = 348 - 336. Let n(z) = 6*z + 4. Let j be n(-4). Let q be (-45)/25*j/l. Solve 0 = -u + q*u + 6 for u. -3 Let u(f) = -22*f - 1. Let l be u(-3). Suppose -3*y - l = -8*y. Suppose 0 = -2*r + k + y, -25 = 4*k + k. Solve 7*s = r*s for s. 0 Let c(y) be the third derivative of y**4/8 - 7*y**3/6 - 3*y**2. Let u be c(5). Solve 2*w - 2 + u = 0 for w. -3 Let b be 8/((-200)/15) + 56/10. Solve -1 + b = 4*m for m. 1 Suppose -20 = -3*d - d. Let v be -1*(-8 + 4 - -1). Solve -2*c = -v*c + d for c. 5 Suppose 0 = 11*q + 13 - 13. Let m = 4 + 0. Suppose 0 = -m*z - o - 0 + 6, 2 = 5*z + 4*o. Solve 5*f - z*f = q for f. 0 Suppose 3*u = 3*q - 48, -5*q - 3*u = u - 125. Solve -16*b = -q*b + 20 for b. 4 Suppose 9 - 226 = -7*f. Let a = -17 + f. Solve -2*s - 4 = -a for s. 5 Let w(i) = i**2 + i + 1. Let b(y) = y**3 - 6*y**2 - 5. Let p(t) = b(t) + w(t). Let h be p(5). Solve 4*d = 5*d - h for d. 1 Suppose -2*h = 0, -4*o + h = -o - 3. Suppose -4*g = -11 - o. Solve g*r + 3 = -6 for r. -3 Suppose 2*q - 3 = q. Let u = 57 + -49. Solve -q*d + d - u = 0 for d. -4 Let h be 1/((-8)/8)*0. Solve h + 10 = 5*m for m. 2 Suppose -2*s + 14 = -4. Suppose 6*g = 13*g + 42. Let k be (-44)/33*(-1 + 3/g). Solve -k*w - s = w for w. -3 Let h be (-10)/75 - 908/(-60). Solve 18*i - 3 = h*i for i. 1 Let k = 408 + -417. Let y(z) = -2*z**2 + 2. Let s be y(-2). Let i = s - k. Solve i*p - p = -8 for p. -4 Suppose p = 3*w + 17, -3*p - p = -2*w - 18. Suppose p*t = -3*t. Let u be t/(4*2/4). Solve u = -l - 0*l for l. 0 Let u(i) = -i**3 + 2*i**2 + 7*i + 10. Let d be u(4). Solve -d*r = 2*r for r. 0 Let c be (1/(-2))/((-8)/448). Suppose c = -4*r - q + 104, -4*q - 57 = -3*r. Solve -r = 3*g - 4 for g. -5 Let b be -5*(-8 - (-5 + -2)). Let q = 21 - 5. Solve -b*o + 1 = q for o. -3 Suppose -390*q = -405*q + 240. Solve 15*u = q*u + 4 for u. -4 Suppose 20 = -3*l - l. Let x be -4 - -1 - (l + -13). Suppose 4*d = 7*d - x. Solve d*r + 16 = 1 for r. -3 Suppose 5*i + 2*r - 17 = 0, -4*i - 4 = 4*r - 20. Solve t = -5 + i for t. -2 Let p(t) = -6*t**2 + 165
{ "pile_set_name": "DM Mathematics" }
k**3 with respect to k. -12*k**2 Let n(z) be the second derivative of 0*z**5 - 2/15*z**6 + 0*z**3 - 5/12*z**4 + 0*z**2 + 0 + 13*z. What is the third derivative of n(k) wrt k? -96*k Let z(l) = -6*l**3 - 47*l**2 - 50*l + 2. Let m(d) = -d**3 - 2*d**2 - d. Let h(r) = 4*m(r) - z(r). What is the second derivative of h(c) wrt c? 12*c + 78 Let l(n) be the third derivative of -7*n**6/5 + 23*n**3/3 + 10*n**2 - 2*n. Find the first derivative of l(y) wrt y. -504*y**2 Let q(y) be the second derivative of 2/3*y**3 - 3*y + 0 + 13*y**2. What is the first derivative of q(s) wrt s? 4 Differentiate 5*s**3 + 270 - 374*s**4 - 5*s**3 + 37 + 53 wrt s. -1496*s**3 Let a(r) be the second derivative of -r**4/6 - r**3/2 - 4*r**2 - 2*r - 7. Find the first derivative of a(s) wrt s. -4*s - 3 Let g(i) be the second derivative of -1/3*i**3 + 1 + 0*i**4 - 39/2*i**2 + 0*i**5 - 2/5*i**6 - i. Differentiate g(t) wrt t. -48*t**3 - 2 Suppose -u + 0*c = -3*c + 4, -5*u - c + 12 = 0. Differentiate 21 - 3 - 19*o**3 - 8*o**3 + u*o**3 with respect to o. -75*o**2 Let u(a) = 2*a**2 + a - 2. Let q(k) = -12*k**2 + 47*k + 331. Let h(m) = q(m) + 5*u(m). What is the derivative of h(v) wrt v? -4*v + 52 Suppose -4*u - 6 + 42 = 0. Suppose -3*a + 4*x + 67 = -x, x = -a + u. Find the third derivative of -8*g**2 - a*g**5 + 7*g**5 + 0*g**2 wrt g. -420*g**2 Let c(s) be the first derivative of 233*s**2 + 248*s + 147. What is the derivative of c(i) wrt i? 466 Let f be (4/(-8))/(2 + 13/(-6)). Let k(d) be the first derivative of 0*d**2 - 3 + 0*d**4 + 0*d**f + 4/5*d**5 - 5*d. Differentiate k(z) wrt z. 16*z**3 Let b(r) = 12*r**4 - 2*r**3 + 9*r**2 + 3*r + 2. Let a(w) = -w**4 + 1. Let z(n) = -2*a(n) + b(n). What is the third derivative of z(k) wrt k? 336*k - 12 Let o = -831 + 837. Let y(p) be the first derivative of 0*p + 0*p**2 + 0*p**4 + 0*p**5 + p**3 + 2 - 2/3*p**o. Find the third derivative of y(i) wrt i. -240*i**2 Let n(j) = -25*j - 125. Let x be n(-5). Let y(g) be the second derivative of 0*g**2 + x - 6*g + 1/12*g**4 + 1/2*g**3. Find the second derivative of y(d) wrt d. 2 Let t(i) be the third derivative of i**6/24 + 19*i**5/60 + 233*i**4/24 + i**2 - 25. Find the second derivative of t(a) wrt a. 30*a + 38 Let t = -77 + 79. Differentiate -25*k - 6 + 24 + t - 7 wrt k. -25 Let o(c) be the first derivative of 5*c**5 - c**2/2 - 21*c + 12. What is the first derivative of o(s) wrt s? 100*s**3 - 1 Let d(n) be the third derivative of -19*n**6/10 - 67*n**5/60 + 5*n**4/24 - 62*n**2 - 5*n. Find the third derivative of d(s) wrt s. -1368 Let u(p) be the second derivative of p**8/14 - 9*p**7/14 + 33*p**4/4 + p**3/6 + 19*p - 2. What is the third derivative of u(x) wrt x? 480*x**3 - 1620*x**2 Let v(d) be the second derivative of 0*d**4 - 28*d + 0*d**3 + 27/2*d**2 + 0 + 21/20*d**5. Differentiate v(o) with respect to o. 63*o**2 Let k(j) = -4*j**2 + 25. Let p be k(0). Differentiate 28 + p - 25*l**3 - 79 + 38 with respect to l. -75*l**2 Suppose 0 = -0*z - z + 4*g + 10, 0 = 6*z - 3*g - 60. Let u(c) be the first derivative of -4*c + z + 7/2*c**2. What is the derivative of u(j) wrt j? 7 Let q(p) be the third derivative of 43*p**7/42 - 247*p**4/24 + 8*p**2. Find the second derivative of q(i) wrt i. 2580*i**2 What is the derivative of -2*g**2 - 656 + 1234 + 14*g - 634 wrt g? -4*g + 14 Let u be (-51)/(-9) + 4/(-6). Suppose 5*h - 2*x - 2*x - 30 = 0, -h - 4*x = -30. What is the second derivative of 2*w**4 - 2*w**4 + 2*w + h*w**5 - 12*w**u wrt w? -40*w**3 Let s(g) be the first derivative of 22*g**2 - 27*g + 6. Let m(p) = 22*p - 13. Let f(d) = -5*m(d) + 3*s(d). What is the first derivative of f(u) wrt u? 22 Let b(a) = 2*a**2 - 6. Let x be b(2). What is the second derivative of 10*g**2 + 9*g + 3*g**x + g**2 wrt g? 28 What is the third derivative of -151*b**3 + 45*b - b**2 + b**4 - 4 + 45*b**3 + 4 + 220*b wrt b? 24*b - 636 Let u be 46/72 - 5/(135/6). Let l(m) be the second derivative of 0*m**3 - 5/2*m**2 + u*m**4 + 0 + 2*m. Differentiate l(j) wrt j. 10*j Let u(a) = 3*a - 15. Let v be u(6). Differentiate -22 + 2*z**v + 0*z**3 + 9 wrt z. 6*z**2 Let c = -55 - -96. What is the second derivative of -23*s**4 + 13*s**4 - s**4 - c*s - 18*s**4 wrt s? -348*s**2 Let l(o) = 3*o - 14. Let p be l(6). What is the third derivative of -8*w**4 + 4*w**3 - p*w**3 - w**2 + 10*w**2 wrt w? -192*w What is the second derivative of 174*u**5 - 216*u**5 - 103*u**5 + 285*u - 252*u**5 - 41*u**5 wrt u? -8760*u**3 Let m(z) be the third derivative of -z**8/112 - 7*z**6/60 + 53*z**4/24 + 42*z**2 + 1. What is the second derivative of m(l) wrt l? -60*l**3 - 84*l Let l(b) be the second derivative of -3*b**8/14 - 9*b**5/10 - 629*b**4/12 + 256*b. Find the third derivative of l(y) wrt y. -1440*y**3 - 108 Let q(p) be the second derivative of -2*p + 13/20*p**5 + 0 + 0*p**4 + 0*p**2 - 2/3*p**3. What is the second derivative of q(s) wrt s? 78*s What is the third derivative of -42*j**5 - 128*j**2 - j**6 + 350*j**2 - 162*j**2 wrt j? -120*j**3 - 2520*j**2 Suppose 11 + 17 = 4*n. What is the second derivative of 11*f**5 - n*f**5 + 4*f**5 - 17*f wrt f? 160*f**3 Let q(i) be the third derivative of 0*i**3 + 25*i**2 + 0 - 7/10*i**5 + 0*i**4 + 0*i**7 - 1/336*i**8 + 0*i + 0*i**6. Find the third derivative of q(l) wrt l. -60*l**2 Let s be -1*8*2/(-4). Let y(b) = -b + 9. Let k be y(s). What is the second derivative of 7*i - 12*i**k - 3*i + 5*i + 3*i**5 wrt i? -180*i**3 Let y(j) = j. Let i(k) = 4*k - 3. Let a(l) = i(l) - 3*y(l). Let w be a(10). What is the first derivative of w - p - 5 - 2*p wrt p? -3 Let r = 102 - 95. Let j(v) = 14*v**2 - 23*v - 7. Let m(s) = 7*s**2 - 12*s - 4. Let a(t) = r*m(t) - 4*j(t). What is the second derivative of a(f) wrt f? -14 Suppose 0 = -0*y - 4*y + 100. Let j = 31 - y. Find the third derivative of 29*z**6 + 6*z**2 + 6*z**2 - 27*z**j wrt z. 240*z**3 Let y(t) = 662*t**3 - 4*t**2 + 5*t + 1381. Let g(h) = 994*h**3 - 6*h**2 + 8*h + 2071. Let b(u) = -5*g(u) + 8*y(u). What is the first derivative of b(d) wrt d? 978*d**2 - 4*d Suppose -9*v - 23*v = 5*v. Let m(h) be the first derivative of 4/5*h**5 + v*h - 5/3*h**3 + 0*h**2 + 6 + 0*h**4. Find the third derivative of m(a) wrt a. 96*a Let r(i) be the third derivative of 13*i**5/120 + 7*i**4/12 - 5*i**3/6 - 15*i**2. Let h(k) be the first derivative of r(k). Differentiate h(d) wrt d. 13 Let p(t) = -3*t**3 - t**2 - 9*t. Let z(l) = l**2 + l. Suppose 3*d = -1 + 4, 0 = a + 5*d - 4. Let j(y) = a*z(y) - p(y). Find the second derivative of j(m) wrt m. 18*m Let i(c) be the first derivative of 47*c**3/3 + c**2 - 14*c + 191. Differentiate i(b) wrt b. 94*b + 2 Let k(r) be the first derivative of -5*r**8/28 + 5*r**4/12 - 5*r - 7. Let i(q) be the first derivative of k(q). Find the third derivative of i(f) wrt f. -1200*f**3 Let u(o) be the second derivative of 19*o**7/840 + 3*o**4/4 + 3*o**3 + 13*o. Let b(y) be the second derivative of u(y). Differentiate b(f) with respect to f. 57*f**2 Suppose 43 - 8 = 5*p. Suppose -14 = 2*i - 5*i - 4*v, 5*i + 4*v - 26 = 0. What is the first derivative of 5 - i + m**3 - 1 - p*m**3 wrt m? -18*m**2 Let o be (8 - 1)/(-1*6/(-30)). Find the second derivative of 29*d**4 + o*d - 8*d**4 - 9*d**4 wrt d. 144*d**2 Suppose -16 = 14*q - 10*q. Let s be ((-72)/(-15))/(q/(-30)). What is the second derivative of s*v**3 + 6*v - 36*v**3 - 10*v**5 wrt v? -200*v**3 Let r(z) be the third derivative of 7*z**6/24 + 7*z**5/12 + 4*z**2 + 7*z. Find the third derivative of r(k) wrt k. 210 Let c(v) = -10*v + 3*v**2 - 12*v**2 - v**3 - 3*v**2 + 14. Let w be c(-11). What is the second derivative of -11*z**w + 11*z**3 + 5*z + 2*z**4 wrt z? 24*z**2 What is the third derivative of 2*n**2 + 544*n**3 - 3*n**2 - 35*n + 3*n**6 - 545*n**3 wrt n? 360*n**3 - 6 What is the third derivative of 16*n**2 + 35*n**2 - 500*n**2 - 196*n**5 wrt n? -11760*n**2 Let w(g) = 257*g**4 - 22*g**3 + 101*g - 15. Let a(x) = 129*x**4 - 12*x**3 + 51*x - 8. Let b(q) = 11*a(q) - 6*w(q). What is the second derivative of b(d) wrt d? -1476*d**2 Let f be ((-9)/(-6))/((-10)/(-4) + -2). What is the second derivative of 2*o - f*o + 14*o**2 - 19*o wrt o? 28 What is the second derivative of -229*l - 4 + 4 + 24*l**3 - 140*l**3 - 42*l**3 wrt l? -948*l Let v(a) be the third derivative of 1/2*a**3 + 0*a**6 + 0*a**5 - 3/35*a**7 + 21*a**2 + 0 + 0*a + 3/8*a**4. Find the second deriva
{ "pile_set_name": "DM Mathematics" }
r - 8. Let y be o(j). What is y rounded to the nearest 1000000? 6000000 Let x be 8/(-12) - 14999998/(-3)*-1. Round x to the nearest one million. -5000000 Let v = -916234078.2 + 916233987.19999961. Let u = v + 91. What is u rounded to seven decimal places? -0.0000004 Let x = -21.8 + 17. Round x to 0 decimal places. -5 Let n = -35 - -34.83. Let k = -0.1 - n. Let q = -0.07048 + k. Round q to four decimal places. -0.0005 Let u = 5.1 - 1.1. Let s = -14717.224 + 14713.2240005. Let b = u + s. Round b to six decimal places. 0.000001 Let z be 160/(-6)*2028/(-65). What is z rounded to the nearest 100? 800 Let s = -0.3 - -0.2868. What is s rounded to three dps? -0.013 Let y be 13469499/(-12) - 2/(-8). Suppose -v - 755084 = v. Let r = y + v. What is r rounded to the nearest 1000000? -2000000 Let w be 2/(-6) - 120002/(-6). What is w rounded to the nearest one hundred thousand? 0 Suppose -3*k + 3101 = 2*k - 4*g, g = -k + 622. Suppose -p - 57 = 4122. Let b = k - p. Round b to the nearest one thousand. 5000 Let d = 54 - 32. Let p = 39 - d. Let n = p + -16.9993. Round n to 3 dps. 0.001 Let h = 11716.108 + -11743. Let g = h + 27. Let x = g - 0.16. Round x to 2 decimal places. -0.05 Let d = -37.41 + 0.41. Let q = -36.99979 - d. Round q to four dps. 0.0002 Suppose -b - 3*b = 0. Suppose b = -4*c - c + 15. Suppose 4*v + 5*k - 11915 = 3*v, -k = c*v - 35703. What is v rounded to the nearest 1000? 12000 Let t = 15.07 + -21.8. Let i = t - -42.63. Let x = 35.90181 - i. Round x to 4 dps. 0.0018 Let u = -2.48 + -0.86. What is u rounded to 1 decimal place? -3.3 Suppose -u - 8370 + 75370 = 0. What is u rounded to the nearest 10000? 70000 Let n be 88621496/10 + (-3)/5. Suppose -3*c = -3*t + t - n, -2*t = 5*c + 8862189. Let s = -2431082 - t. What is s rounded to the nearest one million? 2000000 Let d = 31 - 44. Let o = 13.35 + d. What is o rounded to one decimal place? 0.4 Let q(w) = w + 1. Let n be q(1). Suppose -n*g - 4550 = 3*g. Round g to the nearest 100. -900 Let d(y) = 4*y + 7. Let k be d(8). Round k to the nearest 10. 40 Let l(y) = 52502*y + 16. Let b be l(-8). What is b rounded to the nearest one hundred thousand? -400000 Let f = -0.4 + 0.3994. Let k = 0 + f. Round k to 4 decimal places. -0.0006 Let f = 977.7071 - 978. Let v = f + 0.3. Round v to 3 decimal places. 0.007 Let t = -190.99999797 - -191. Round t to six dps. 0.000002 Let d = -0.166 + 1.825. Let f = d + 0.061. Let j = f + -2. What is j rounded to 1 dp? -0.3 Let x = -25451.1214 + 25478.12139916. Let r = 27 - x. Round r to seven dps. 0.0000008 Let g = 70 - 66. What is g rounded to the nearest 100? 0 Let l(p) = 13332*p - 6. Let q be l(-6). Let m be q/4 - 4/8. Round m to the nearest 10000. -20000 Let b be -1*1896*18750/(-45). What is b rounded to the nearest 100000? 800000 Suppose 2*c - 5*c = 14453424. Let j = c - -2828079. Let d = j + 3399729. Round d to the nearest 100000. 1400000 Let h = 5 - 13. Let x = -3531216.56000057 + 3531224.56. Let p = h + x. What is p rounded to seven dps? -0.0000006 Let m = 3 - 2.925. Let a = 16.425 + m. Let k = 21 - a. Round k to 0 decimal places. 5 Suppose 0*k - 19400 = -5*k. Let l = -2290 + k. What is l rounded to the nearest 100? 1600 Let j = -0.05 + 13.05. Let r = -12.99999956 + j. Round r to 7 dps. 0.0000004 Let h = -17.79204 - 0.22096. Let r = h - -18. What is r rounded to two dps? -0.01 Let l = 53 + -115. Let y = -55.6 - l. Let m = -9.1 + y. What is m rounded to the nearest integer? -3 Let d = 29 - 7. Let p = -2 + d. Let c be (p*30)/(6/(-700)). What is c rounded to the nearest 10000? -70000 Let n = 1 + 2. Suppose -n*r - 2*r = j - 1749996, -5*r = -4*j - 1750016. Round r to the nearest 100000. 400000 Suppose 2*w - w - 1 = -s, -w = -s + 3. Let h be (-1 - -3)*(639 - w). Round h to the nearest one hundred. 1300 Let q = -73214.64 + 73153.63917. Let w = -61 - q. What is w rounded to four decimal places? 0.0008 Let i = 6 + -5.9989. Round i to three decimal places. 0.001 Let u(f) = -f + 4. Let a(r) = 3*r - 11. Let o(n) = -2*a(n) - 7*u(n). Let w be o(6). Suppose w*d = -5*d. Round d to the nearest one hundred. 0 Let x = -16244147 - -16244216.990056. Let y = x + -70.02. Let n = -0.03 - y. What is n rounded to 5 dps? -0.00006 Let s(q) = q**2 - 10*q + 12. Let a be (-156)/(-16) - (-1)/4. Let b be s(a). Let f be (-75)/b*2*24000. Round f to the nearest one million. 0 Suppose 292 = 4*a + 4*o, 4*o = 4*a - a - 198. Round a to the nearest 100. 100 Let l = 4.329 - 11.876. Let k = l - -7.6. What is k rounded to 2 dps? 0.05 Suppose -1 = -p + 4*x - 0, -p + 3 = -2*x. Suppose 2*r = 6, -p*b + 3*b - 356009 = -3*r. What is b rounded to the nearest ten thousand? -180000 Let o be 1*-3 + -428 + 11. Round o to the nearest 100. -400 Let l = -110594508 + 110594461.999951. Let n = l - -46. Round n to five decimal places. -0.00005 Let i(m) = -m - 6100. Let b be i(0). Round b to the nearest one thousand. -6000 Let y(c) = -c - 5. Let v be y(-7). Suppose -z - 2*m = -4*z - 186, -v*z - 137 = 3*m. Round z to the nearest 10. -60 Suppose -7 = -3*v + 2*v. Suppose v*w = w - 936. What is w rounded to the nearest ten? -160 Let z = -3314466127 - -3314280209.9961. Let n = -185933 - z. Let g = -16 - n. What is g rounded to three dps? -0.004 Suppose -3*z + 2*k - 5 = 0, 3*k = -z + 5*z + 8. Let w = z + -1. Suppose 5*n = 3*r - 15985, w*n + 5*r = n + 3175. What is n rounded to the nearest one thousand? -3000 Let x = -202 + 73. Let t = x - -128.9917. Round t to 3 decimal places. -0.008 Let b = -0.516 + 0.61. What is b rounded to two decimal places? 0.09 Suppose 7887651 = 3*z - 0*z. Let i be 4/6 + 13797653/(-3). Let l = z + i. Round l to the nearest 100000. -2000000 Suppose -10800012 = -4*o - 2*n, 4260651 = 2*o + 5*n - 1139355. Suppose 2*h - k - o = 0, -5*k - 1350015 = -4*h + 3*h. What is h rounded to the nearest 100000? 1400000 Let c = 40 - 60. Let g = -20.00000083 - c. What is g rounded to 7 decimal places? -0.0000008 Let o = 282.98872 + -283.1. Let k = 0.11 + o. What is k rounded to four dps? -0.0013 Let a = 22.47027 + 0.07493. Let u = -0.0652 + a. Let s = u - 23. Round s to 1 dp. -0.5 Let k be 30/40 + 7/(-4). Let i(p) = -75999*p + 1. Let q be i(k). Round q to the nearest ten thousand. 80000 Let t be (-1799997)/(-9) + 2/6. What is t rounded to the nearest one million? 0 Let n = -0.63 + 0.03. Let u = -0.6000057 - n. Round u to 6 dps. -0.000006 Let u(g) = g**2 + 9*g + 3. Let r be u(-9). Suppose 7 - 1 = -r*h, -3*a + 4*h = 29999992. Round a to the nearest 1000000. -10000000 Let p = 13.3 - -1.1. Let z = -38 + p. Let a = -23.5897 - z. Round a to three decimal places. 0.01 Let y = 0.5 - 0.48. Let k = y - 0.12. Round k to two dps. -0.1 Let m = -2234 - -2232.7044. Let v = 1.3 + m. Round v to 3 decimal places. 0.004 Let l = 10407 - 14907. Round l to the nearest one thousand. -5000 Let d(s) = -55998*s - 6. Let y be d(3). What is y rounded to the nearest ten thousand? -170000 Let h = 274 - 181. Let w = h + -88.1. What is w rounded to 0 dps? 5 Suppose 1030 = 3*k + 4*h + 215, 1045 = 4*k - 3*h. Suppose -3*a - k = 68. Let m = -189 - a. Round m to the nearest 10. -80 Let i = -1229 - -1229.0501. Let h = i + -0.05. Round h to five decimal places. 0.0001 Let i = -8 - 30. Suppose 0 = 5*p + 11 - 1. Let v = p + i. What is v rounded to the nearest ten? -40 Let m = -8.67 + 8.2. Round m to 1 decimal place. -0.5 Let i be (-8)/(-20) + (-1599998)/(-5). What is i rounded to the nearest 100000? 300000 Let r = 0.4 + -0.225. Let x = r + -0.1. Round x to 2 dps. 0.08 Suppose -12004 = 4*c - 3*z, z - 4*z = -12. Let j be -7 + 5 - c/(-1). What is j rounded to the nearest 1000? -3000 Suppose -153 = -5*y - 3*f, 0 = -4*f - 0*f + 4. Let l be (-4922)/(-6) + (-10)/y. Round l to the nearest 100. 800 Let w(c) = 156*c**3 - c**2 + 1. Let b be w(1). Suppose -2*l - 3*v + b = -l, v = 4*l - 572. Suppose 3*u + l = u. What is u rounded to the nearest 10? -70 Let p(y) be the first derivative of -9*y**4/4 - 7*y**3/3 + 3*y**2/2 + 5*y + 3. Let u be p(-5). Round u to the nearest 100. 900 Let y = -6 - -4. Let q be 2/((-1)/(5503/y)). Let n be q/(-5) + 9/15. Round n to the nearest 1000. -1000 Let u = 4.11 + -0.11. Let v = 4.008 - u. Round v to two decimal places. 0.01 Let c = 101 - 100.904. What is c rounded to two decimal places? 0.1 Let o be 2 - 9/((-36)/(-71600008)). Round o to the ne
{ "pile_set_name": "DM Mathematics" }
tiple of 13? False Suppose -5*q + r + 5 = -r, 0 = q - 5*r - 24. Let s be 5/(-10)*2/q. Does 3 divide (s - 4)/(7/(-63))? True Suppose 0 = -11*j + 5147 + 3292 + 1846. Is 8 a factor of j? False Suppose 4*i - 4*y - 193896 = 0, -60*y + 1502590 = 31*i - 65*y. Is i a multiple of 184? False Suppose -9*q + 3159 + 2565 = 0. Suppose -19*o + 22*o - q = 0. Is o a multiple of 14? False Let d(i) = 2*i**2 + i - 18. Let a(s) = -s - 26. Let b be a(-14). Let k be (0 - 4)/((-6)/b). Is d(k) a multiple of 17? True Let r be ((-1)/((-2)/8))/1. Let n be (-3)/((-30)/r) + (-208)/(-5). Suppose 0 = -2*d - 4*v - n + 160, -2*v - 88 = -2*d. Does 7 divide d? True Let f = -11427 - -18357. Is 35 a factor of f? True Let m(v) = -v**3 - 5*v**2 + 7*v - 10. Let w be m(-6). Let p = -18 - w. Is (-28*(1 + p))/2 even? True Suppose 2124*d - 2122*d = 42796. Does 26 divide d? True Let l(x) = -3*x**3 + 51*x**2 - 30*x + 57. Is 9 a factor of l(7)? False Let o(d) = d**3 - 23*d**2 + 30*d - 153. Let f be o(21). Let n = f - -489. Does 4 divide n? True Let k be (-240)/(-64) + 1/4. Suppose -27*r = k*y - 29*r - 168, 0 = 2*y - 3*r - 80. Is 4 a factor of y? False Suppose -18*a + 3263 + 1993 = 0. Is a a multiple of 2? True Suppose -10*o + 13*o = -3*j, -10 = 3*j - 2*o. Let p be 11/(308/(-552))*-7. Is 23 a factor of p*1/(5 + j)? True Let j be (-69 + 77)*6/16. Is ((-845)/(-15)*9)/j a multiple of 13? True Suppose -3*u - 632799 = -34*i, 5*u - 99545 = -5*i - 6470. Is 99 a factor of i? True Suppose -69*n + 194248 = -247835. Does 5 divide n? False Let g(j) = -403*j + 80. Does 18 divide g(-25)? False Is 38 a factor of (31886/642)/((2 - 3)*(-2)/2736)? True Suppose -2*f + 130 = -44. Let s be f/(-9)*-3 - 0. Suppose 7*c - 274 = -s. Is 11 a factor of c? False Let u(p) = -129*p**2 + 5*p - 4. Let k be u(1). Let r = k + 187. Is 20 a factor of r? False Let w(d) = -2*d**2. Let b(o) = -187*o**2 - 18*o + 32. Let g(q) = -b(q) - 5*w(q). Is g(2) a multiple of 22? True Suppose -12097 = -66*h + 62*h + j, 0 = 3*h + 7*j - 9065. Is 21 a factor of h? True Let v(t) = -5*t + 62. Let b be v(12). Suppose 8*k - 2*k = b*k. Suppose k = 7*r - 5 - 58. Is 2 a factor of r? False Let n(z) = -z**2 - 2*z + 6*z + 9*z + 2 + 1. Let h be n(13). Suppose h*a = 8*a - 95. Does 13 divide a? False Let z(x) = 29*x**2 - 3. Let m be z(3). Let o be ((-6)/4)/((-141)/(-14946)). Let a = m + o. Is 11 a factor of a? True Let k be (-84)/(-126)*(3 - 0). Suppose 5*x = 5*f + 1293 + 2, 797 = 3*x + k*f. Does 9 divide x? False Let l be (5 - 32/6)/((-1)/21). Suppose 5*r - 4*a + l*a - 53 = 0, 3*r - 27 = 3*a. Suppose r*t - 14*t = -12. Is 3 a factor of t? True Let q(f) = 4283*f**2 - 261*f + 18. Is q(-3) a multiple of 9? True Suppose -4*r - 10 = -5*k, -13 = 4*r + 4*k + 15. Let f = 354 - 250. Is (-2 - r)/(210/f - 2) a multiple of 12? True Let p(b) = b**3 - 13*b**2 - 15*b - 26. Let h be p(14). Let x = 38 - h. Suppose -34 = -g + x. Is 11 a factor of g? False Let q = 24 - 4. Suppose 9*c - 4*c = 3*r + 31, 4*c - q = 0. Does 5 divide -1 - ((-6)/r + -34)? True Suppose -43*o - 44*o = -130*o + 127925. Is o a multiple of 35? True Let j(a) = a**3 - 4*a**2 - 2*a + 9. Let b be j(3). Let r be (-471)/6 - 3/b. Let v = 93 + r. Is 14 a factor of v? False Suppose -111*f + 680 = 162*f - 14062. Is 6 a factor of f? True Let s be (-4277)/7*1*(-3 + 2). Let k = s - 259. Is k a multiple of 11? True Suppose -3*y = -6*y + 462. Let j = -156 + y. Is j/(-4)*0 + 92 + -1 a multiple of 7? True Does 163 divide 794*((-2)/(-15) - 1496/(-255))? False Suppose 2*a + 5*h - 88180 = -0*a, -5*a = 3*h - 220412. Does 32 divide ((-12)/(-5))/(174/a)? True Is (2168/24 - 10)/((-2)/120*-2) a multiple of 28? False Suppose -57600 = -3*b - 13*b. Is b a multiple of 30? True Let m be (-61)/(-427) + 2164/(-7). Let r = m - -554. Does 7 divide r? True Suppose -108*c = -110*c + 4. Suppose c*w - 61 = u, 2*w = 4*u + 241 + 3. Is (u/(-6) + -3)*6 a multiple of 8? False Let m(v) = 11919*v**2 - 27*v - 26. Does 5 divide m(-1)? True Suppose -b - b - 2*s - 12 = 0, -2*b - 5*s - 15 = 0. Is (-477)/(-12) - b/20 a multiple of 5? True Let d(t) = -t**2 + 12*t + 14. Let f be d(13). Let s be (-2 + 3)*f/1. Suppose -3*r - 14 = -g, -2*g - 5*r = s - 7. Is g a multiple of 7? False Let l = 3411 + -2947. Does 17 divide l? False Let s(z) = -127*z**2 + z + 1. Let m be s(1). Let g be (-4)/18 + (-8)/((-360)/m). Is 3 a factor of (-8)/(-12) + (-7)/g? True Let g(p) = 4*p - 4*p**3 + 75 - 16 - 32 + 18 - 26*p**2 + 0*p. Is g(-9) a multiple of 47? False Let s = -1025 - -7187. Does 36 divide s? False Suppose -2*m = -3*g - m + 8, m = -g + 8. Suppose -45 = -g*b + 807. Does 12 divide b? False Suppose 7*w - o = 11*w - 17, 2*w + 3*o - 21 = 0. Let u be (-1)/w - 10/6. Is 26 a factor of (-281)/(-3) + (-1)/((-3)/u)? False Suppose 0 = -3*o - 107 - 106. Let f = o - -120. Suppose 50*q = f*q + 150. Is 50 a factor of q? True Suppose -f + 4*u = -711 - 1399, 0 = -4*f + 5*u + 8385. Does 6 divide f? False Suppose 50 = 9*o - 85. Does 9 divide 2/6 + -7 + 325/o? False Does 3 divide 7/(14/(-12)) + -4 + (139 - -7)? False Let y(b) = -943*b - 1759. Is 17 a factor of y(-5)? False Suppose 3*a = 5*a + 2*c - 4542, 4*c + 2256 = a. Is 162 a factor of a? True Let g = -2105 - -2996. Suppose -125*a + g = -116*a. Does 3 divide a? True Suppose -4*h = 4*l - 20, h - 5*l + 9 = 2. Suppose -v = 4*v - h*v. Suppose 6*z + 41 - 191 = v. Is z a multiple of 7? False Let h(w) = -w**3 + 4*w**2 + 2*w - 4. Let f(n) = 3*n - 24. Let i be (-1 + -2)/((-3)/9). Let l be f(i). Is 11 a factor of h(l)? True Suppose 36160 = 2*n - 5*v, -19*v = -20*v - 4. Is 13 a factor of n? True Is 23 a factor of (-15)/((-45)/12606) + -1 + -3? False Let f = -135 - -139. Suppose -4*x - 3*o = -267, -4*x + 0*x = -f*o - 232. Does 25 divide x? False Suppose -3*l + 52923 = -3*q, -2*l - 3*l + 88195 = 5*q. Is 252 a factor of l? True Let n be 160/6*((-81)/6)/(-9). Suppose -q + 5*w - n + 423 = 0, -2*q + 780 = 4*w. Is 24 a factor of q? False Suppose 0 = -3*n - 12*s + 7*s + 20, 5*n + 4*s = 16. Suppose -8*d + 7*d - 5 = n, -4*d - 836 = -4*x. Is x a multiple of 24? False Let d(j) = 21*j - 91. Let c(s) = 11*s - 45. Let y(a) = -10*c(a) + 4*d(a). Does 12 divide y(-8)? False Let r(g) = 4*g**3 + 18 - 4*g - 11*g**3 + 0*g + 21*g**2 + 9*g**3 - g**3. Is 96 a factor of r(-21)? False Suppose -3*q + 0*q + 9 = 0. Suppose -5*c - 259 = -q*h, 3*c - 34 = -49. Does 13 divide h? True Suppose 23*j - 32*j - 27 = 0. Let q(l) = -2*l**3 - 4*l**2 - 5*l + 2. Is 4 a factor of q(j)? False Is (-449458)/(-12) - (-28)/168 a multiple of 45? False Let p be (-1 - (24 - 6)) + (-1 - -1). Let j(s) = s**2 + 2*s - 34. Is j(p) a multiple of 14? False Let n(w) = -43*w - 3. Let o be n(-1). Does 4 divide o/16*2 - (-2 + -53)? True Let i = 1398 - 410. Suppose -i = -26*n + 22*n. Is 33 a factor of n? False Let w be -80*(-7)/(-2) + 1 + 3. Is 38 a factor of (-1)/((-1)/2)*(-69414)/w? False Let i = -46 - -49. Suppose 2*a = i*a - 1. Is -3 + 64/(a + 3) even? False Suppose 22*a = 24*a - 2*t - 3232, 2*t = -2*a + 3236. Is a a multiple of 100? False Let k(m) = -8*m**2 + 10*m + 6. Let l be k(5). Let b = l + 192. Does 8 divide b? True Let n = -3141 - -4683. Does 13 divide n? False Let v = -123 - -113. Let t(f) be the second derivative of -f**4/6 - 4*f**3 + 2*f**2 + 2*f. Is 11 a factor of t(v)? True Let b be (-4)/(-30) - (-364)/(-30). Let u be (-2)/b - 16302/(-36). Let m = u + -318. Does 27 divide m? True Let i(m) = m**2 - 42*m - 20. Let q be i(23). Let n = q - -653. Suppose 4*o = -3*o + n. Is o a multiple of 3? False Suppose -1147*w - 123675 = -1172*w. Is 42 a factor of w? False Suppose -8*u + 1750 - 118 = 0. Let n = -194 + u. Does 4 divide n? False Let d(p) = -p**3 - 18*p**2 + 17*p - 30. Let z be d(-19). Suppose 6*m = z*m. Suppose -5*n + 2*u + 473 = 0, 479 = -m*n + 5*n + 4*u. Does 19 divide n? True Let v be 0/(4 + -14) - (-4 - 0). Suppose 4*y - v*g - 396 = 0, 9*y = 6*y + 2*g + 296. Is 49 a factor of y? True Let a = -36 + 33. Let k be a/9 + 129/9. Suppose -k*l = -17*l + 114. Is l a multiple of 3? False Suppose -4*t = -139 + 147, 4*k - 43326 = 5*t. Is k a multiple of 17? True Let c = -55516 + 89176. Does 51 divide c? True Let j(r) be the third derivative of r**6/15 - r**5/30 - 11*r**4/6 + 18*r**2. Let o(n) be the second derivative of j(n). Is 16 a factor of o(4)? False Suppose 0 = -447*k + 2622841 + 1182684 + 2230763. I
{ "pile_set_name": "DM Mathematics" }
**2 - 43*l**2 + 91 - r*l**2 wrt l? -234*l Suppose 51 = 2*l + 3*m, 14 = 5*l + 3*m - 109. Suppose z - w - l = 0, 18 = -2*z + 3*z + w. Differentiate -103*i**4 + 49*i**4 - z + 63*i**4 wrt i. 36*i**3 Let p = 183 - 160. Find the first derivative of p*s + 79 - 101*s - 60 wrt s. -78 Let z(j) be the first derivative of -332*j**6/3 + 2*j**5/5 + j**4/2 + 25*j**3/3 - 18*j + 5786. What is the third derivative of z(h) wrt h? -39840*h**2 + 48*h + 12 Let j(b) = 8*b**3 - 9*b - 53. Let c(k) = -8*k**3 + 8*k + 54. Suppose 9*w - 70 = -5*w. Let q(t) = w*j(t) + 6*c(t). What is the first derivative of q(x) wrt x? -24*x**2 + 3 Differentiate 499*j**4 + 81*j**2 - 1802 + 1799*j**4 - 111*j**4 - 81*j**2 with respect to j. 8748*j**3 Let b(t) be the third derivative of -3 - 11*t**3 + 0*t - t**2 - 2/3*t**4. Find the first derivative of b(x) wrt x. -16 Find the second derivative of 4*v**2 + 174*v - 42*v**5 - 17*v**5 + 179*v**5 + 42*v**5 + 5*v**4 + 147*v wrt v. 3240*v**3 + 60*v**2 + 8 Let a(n) = -4*n + 5 + n - 3 + 24. Let x be a(8). What is the third derivative of -9*b**3 + 12*b**4 + 9*b**3 + 18*b**x wrt b? 288*b Let q(d) be the first derivative of 5*d**4/4 - 4*d**2 - 838*d + 497. Differentiate q(v) with respect to v. 15*v**2 - 8 Let f = 207 + -205. What is the second derivative of 3*y**f + 15*y - 48*y + 42*y**2 - 31*y wrt y? 90 Let o(l) = -l**5 - l**4 - l + 1. Let y(v) = -8 - v + 141*v**5 - 2*v**4 - 11 - 1. Let k(s) = -2*o(s) + y(s). What is the second derivative of k(i) wrt i? 2860*i**3 Find the first derivative of 4860 - 2586 + p**2 - 26*p**2 - 792 - 19*p wrt p. -50*p - 19 Let x(o) be the third derivative of -106/3*o**3 + 0*o - 2/3*o**4 - 144*o**2 + 1/120*o**6 + 0 + 0*o**5. Find the first derivative of x(h) wrt h. 3*h**2 - 16 Let j(c) = -783*c**3 - 14*c + 1525. Let s(b) = 392*b**3 - b**2 + 6*b - 762. Let l(w) = -2*j(w) - 5*s(w). Find the second derivative of l(x) wrt x. -2364*x + 10 Let n(o) = -o**3 - o. Let i(d) = -175*d**3 + 6*d - 37. Let j = -391 - -397. Let t(c) = j*n(c) + i(c). Find the first derivative of t(y) wrt y. -543*y**2 Suppose -n + 87 = 3*r, -149 = -5*r - 4*n + n. Suppose -2*y + 0*y = -r. Differentiate -24*j + y + 41*j - 30*j wrt j. -13 Let n(f) = 1337*f**2 - 1994*f + 7. Let s(d) = -670*d**2 + 999*d - 4. Let t(g) = 4*n(g) + 7*s(g). Find the second derivative of t(z) wrt z. 1316 Suppose c = 5*u - 6, 0 = -u - u - c + 8. Find the second derivative of 1 - 26*j**2 - 11*j - 60*j**2 + 41*j**u wrt j. -90 Let v be (2*1/(-2))/((-3)/15). Let u(m) be the first derivative of -5*m + 4*m + 3 + 2*m**v - 4*m. Find the first derivative of u(w) wrt w. 40*w**3 Let h(z) = 1. Let l(t) = 52*t**3 + 52*t**2 - 130. Let q = -180 - -181. Let i(o) = q*l(o) + 130*h(o). Find the third derivative of i(r) wrt r. 312 Let s(x) be the first derivative of 0*x**4 - x + 0*x**2 + 142 - 136/5*x**5 + x**3. Find the third derivative of s(c) wrt c. -3264*c Suppose -11*p = -28 - 27. Find the second derivative of 274 + 148*n**5 - 39*n - 273 - 50*n**p wrt n. 1960*n**3 Let b(h) = 16884*h - 21005. Let w(q) = 3385*q - 4201. Let u(v) = -2*b(v) + 11*w(v). What is the first derivative of u(r) wrt r? 3467 Let f be -1 - (7 + (-13 - -1) + -1). Let j(h) be the first derivative of 3/2*h**4 + 0*h - 3 + 0*h**2 - f*h**3. Find the third derivative of j(p) wrt p. 36 Let f = 179/185 + -5/74. Let u(p) be the second derivative of -19/3*p**3 + 0 + 0*p**4 - f*p**5 + 0*p**2 - 32*p. What is the second derivative of u(n) wrt n? -108*n Let p be 14*(216/42 + -5). Let t(g) be the third derivative of 0*g**4 + 0*g**5 - 6*g**p - 1/12*g**6 + 3/2*g**3 + 0 + 0*g. What is the derivative of t(n) wrt n? -30*n**2 Let n(j) be the first derivative of 2*j**5/5 - 45*j**2 - 495*j - 620. Differentiate n(u) wrt u. 8*u**3 - 90 Find the second derivative of -89*p - 59*p**2 + 6 - 1685*p**2 - 3265*p**2 wrt p. -10018 Find the second derivative of 189*s**5 - 5*s**2 - 13516*s - 2919*s**3 + 16918*s + 2919*s**3 wrt s. 3780*s**3 - 10 Let z(p) be the second derivative of -21/4*p**4 - 81/2*p**2 + 2 - 108*p + 0*p**3. What is the derivative of z(v) wrt v? -126*v Let k be 93 + 4 + (-3 - 2). Let i = k - 42. What is the derivative of -12*c**3 - 50*c**2 + i*c**2 + 13 wrt c? -36*c**2 What is the third derivative of -61266*i**3 + 32063*i**3 - 12132*i**2 + 31114*i**3 wrt i? 11466 Let k(f) be the third derivative of 0*f**6 + 43/105*f**7 + 16/3*f**3 - 1/12*f**4 + 4*f - 16*f**2 + 0 + 1/30*f**5. Find the second derivative of k(g) wrt g. 1032*g**2 + 4 Let c(x) = x**3 - 7*x**2 - 31*x + 10. Let u be c(10). Find the second derivative of -13*g - 101*g**2 + u*g**5 + 67*g**2 + g**5 - 58*g**2 wrt g. 20*g**3 - 184 Let a(q) = -15*q**2 + q - 5. Let b be a(2). Let o be 84/b*30/(-8). Find the second derivative of 5*n**5 + 28*n**4 - 28*n**4 + 10*n**5 + o*n wrt n. 300*n**3 Let f(j) = 893*j**3 + 101*j**2 + 43*j - 6. Let t(o) = -895*o**3 - 102*o**2 - 36*o + 5. Let u(h) = 5*f(h) + 6*t(h). What is the third derivative of u(c) wrt c? -5430 Let q(g) be the first derivative of -8/5*g**5 + 5*g**2 + 118*g + 172 + 0*g**3 + 0*g**4. Differentiate q(i) with respect to i. -32*i**3 + 10 Let q(y) be the second derivative of 5857*y**3/3 + 2375*y**2 + 9705*y. Differentiate q(c) with respect to c. 11714 Suppose 47 - 217 = -108*p + 46. Let d(n) be the second derivative of 1/6*n**4 + 0 + 2*n**p + 5/2*n**3 + 49*n. What is the derivative of d(s) wrt s? 4*s + 15 Let v(z) be the second derivative of -3953*z**6/30 - 2735*z**2 + 6771*z. Find the first derivative of v(x) wrt x. -15812*x**3 Let t(x) = -x**3 - 2*x**2 + 13*x - 7. Let a be t(-5). What is the third derivative of -193*d**3 + 19 + 406*d**3 - d**2 - 139*d**a wrt d? 444 Suppose 4*j + 8 = 0, -3 = 2*q - j + 3. Let i(z) = -2*z**2 - 8*z + 3. Let t be i(q). Find the third derivative of x**4 + 115*x + t*x**2 - 115*x - 19*x**2 wrt x. 24*x Let v be 6*(-1)/(-6)*4. Suppose -55 = -3*s - t, -4*s - 12 + 64 = -v*t. Find the second derivative of 10*r**4 - s*r**5 - 11*r**4 - 29*r + r**4 wrt r. -340*r**3 Let b = 3863 + -3860. Let f(g) be the second derivative of 12*g + 1/5*g**6 + 0*g**5 + g**2 + 0*g**4 + 0*g**b + 0. What is the derivative of f(c) wrt c? 24*c**3 Let n(u) = 27*u**2 + 34*u - 2. Suppose -2*w = -19*w - 34. Let i(x) = 54*x**2 + 69*x - 5. Let p(v) = w*i(v) + 5*n(v). Find the second derivative of p(j) wrt j. 54 Let t be -5*((-4)/10 - 0). Suppose 0 = 2*b - 5*b + g + 8, 3*b - 7 = t*g. Find the second derivative of 23*y + 10*y + 15*y**3 + 10*y**3 - 8*y**b wrt y. 102*y Let p(j) = 6*j - 31. Let f be p(6). Find the third derivative of -122*u**5 - 145*u**2 - 1014*u**4 + 1014*u**4 + 40*u**f wrt u. -4920*u**2 Let z = -732 - -734. What is the third derivative of -93*h**2 - 175*h**6 - 129*h**z + 354*h**6 wrt h? 21480*h**3 Suppose 0 = -7*y + 131 + 275. What is the second derivative of 1 - y*i**2 + 4 - 6 - 21*i + 27*i wrt i? -116 Let l(k) = -853*k**3 - 4*k**2 + 4*k + 2606. Let x(j) = -2553*j**3 - 11*j**2 + 11*j + 7817. Let z(g) = 11*l(g) - 4*x(g). What is the derivative of z(o) wrt o? 2487*o**2 Let c be ((-8)/(-10))/(3*(-6)/(-45)). What is the third derivative of 35*r**4 + 21*r**4 - 9*r**4 - 12*r**c + 25*r**4 wrt r? 1728*r Let t(c) = -25*c**2 + 110*c + 1107. Let y(b) = 23*b**2 - 116*b - 1111. Let a(w) = -5*t(w) - 4*y(w). Find the first derivative of a(o) wrt o. 66*o - 86 Let n(f) be the first derivative of 0*f**2 + 4*f - 12 - 11/5*f**5 - 1/2*f**4 + 1/3*f**3. Find the third derivative of n(x) wrt x. -264*x - 12 Suppose -5*u + 2*r + r = -75, -39 = -3*u + 3*r. Suppose -2*i + 16 = 2*x, 0 = -4*i + 3*x - 0*x + u. Differentiate -21*z**2 + 15 + 4*z**2 - 2*z**2 - i*z**2 wrt z. -50*z Suppose -89 = -8*y + 159. What is the first derivative of 3*n - y*n - 166 + 272 wrt n? -28 Let n(x) be the first derivative of 0*x**4 - 54*x + 0*x**2 - 51 + 0*x**3 + 77/5*x**5. What is the first derivative of n(k) wrt k? 308*k**3 Let o(c) be the second derivative of -163*c**6/6 - c**5/10 - 7*c**4/4 - 5*c**3/6 + 7*c**2/2 + c - 3704. What is the third derivative of o(x) wrt x? -19560*x - 12 Suppose -12 - 12 = -3*x. Suppose 3*v = x*v - 3*i - 11, v - 7 = 3*i. What is the first derivative of -11*b**3 - v + 4*b - 4*b - 8*b**3 wrt b? -57*b**2 Suppose 43*n - 72 = 358. Suppose 4*x + 3*l - 589 = 0, -4*l = -x - l + 166. Find the third derivative of 16*z**5 - n*z**2 - 151*z + x*z wrt z. 960*z**2 Suppose 30 + 35 = 5*r
{ "pile_set_name": "DM Mathematics" }
the terms in 2 - 674*l + 44 + 3 + 108*l. -566*l + 49 Collect the terms in 29*k + 35*k + 8*k + 13*k + 32*k. 117*k Collect the terms in 4383 - 4383 - 2584*i. -2584*i Collect the terms in -n + 172*n**3 - 6 - 25*n**2 - n + 2 + 25*n**2. 172*n**3 - 2*n - 4 Collect the terms in -4*v**2 - 9108*v + 18065*v - 8957*v + 2*v**3 + 4*v**2. 2*v**3 Collect the terms in -i - i + 3468*i**3 - 1731*i**3 - 1735*i**3. 2*i**3 - 2*i Collect the terms in 11*y**3 + 30*y**3 + 5*y**3 - 44*y**3. 2*y**3 Collect the terms in 10703*i**3 - 114*i**2 + 34*i**2 - 10709*i**3. -6*i**3 - 80*i**2 Collect the terms in 2246 - 1126 - 1118 - 34*c. -34*c + 2 Collect the terms in -11*b**2 + 8 + 2*b**2 - 6 + 35*b**2 + 98*b**2. 124*b**2 + 2 Collect the terms in 141*f - 36*f - 46*f - 47*f - 50*f. -38*f Collect the terms in 100*j + 0 - 6 - 7 + 25 - 6. 100*j + 6 Collect the terms in -1132 + 1102*c**2 - 1128*c**2 + 1132. -26*c**2 Collect the terms in -144*c**3 - 94*c**3 + 226*c**3. -12*c**3 Collect the terms in -156 + 95*w - 14*w + 80 + 75. 81*w - 1 Collect the terms in -39*f**3 - 9343243 + 9343243. -39*f**3 Collect the terms in -1 - 28946*b - 28944*b + 57885*b + 1. -5*b Collect the terms in -36*i**3 + 2*i**2 - 97*i**3 - 2*i**2 + 137*i**3. 4*i**3 Collect the terms in -251*v**2 - 2*v - 4 - 9 + 13. -251*v**2 - 2*v Collect the terms in 3076576*w**2 - 38*w**3 - 3076576*w**2. -38*w**3 Collect the terms in -30 - 34 + 93 - 29 - 103*m**3. -103*m**3 Collect the terms in 1022518*p**2 - 1022509*p**2 - p + p. 9*p**2 Collect the terms in 15618 + 4*w**3 - 31240 + 15622. 4*w**3 Collect the terms in 154927*z + 2 - 151660*z - 4. 3267*z - 2 Collect the terms in -5295*a + 1139*a**2 + 5295*a. 1139*a**2 Collect the terms in 3*t**2 - 4*t**2 - 89 + 89 + 8*t**2 - 98*t. 7*t**2 - 98*t Collect the terms in 3 - 3 + 74065*t**2 + 4. 74065*t**2 + 4 Collect the terms in 12 - 19*w - 13 + 10*w + 3*w - 34*w. -40*w - 1 Collect the terms in 67697*j + 36*j**2 - 67697*j. 36*j**2 Collect the terms in 87953 - 8*u**2 - 6*u**2 + 88028 - 175981. -14*u**2 Collect the terms in 8 - 226311*z**2 + 2 + 226313*z**2. 2*z**2 + 10 Collect the terms in -12*j - 621 + 691 + 2*j. -10*j + 70 Collect the terms in -75*p**2 - 55*p**2 + 130*p**2 - 14*p**3. -14*p**3 Collect the terms in -8*y - 40*y + 48*y + 216*y**3. 216*y**3 Collect the terms in 1133*t**2 - 1133*t**2 - 2*t**3. -2*t**3 Collect the terms in -1459*z**3 + 2797*z**3 - 1412*z**3. -74*z**3 Collect the terms in -2318*k - 4*k**2 + 9*k**2 - 6*k**2. -k**2 - 2318*k Collect the terms in 121*y + 71*y + 112*y - 535*y + 112*y + 118*y. -y Collect the terms in 4369*b**2 - 8712*b**2 + 4363*b**2. 20*b**2 Collect the terms in 26*x + 91*x - 17*x - 21*x + 3*x. 82*x Collect the terms in 74*z + 203*z - 304*z. -27*z Collect the terms in 131*f**3 - 8*f**2 - f**2 + 86*f**3 + 9*f**2 - 219*f**3. -2*f**3 Collect the terms in -2798 + 1355 + 4*q**2 + 1435. 4*q**2 - 8 Collect the terms in -623696738*v - 2*v**3 - v**3 + 623696738*v. -3*v**3 Collect the terms in 328371*u**3 - 328364*u**3 - 20*u**2 + 7*u**2. 7*u**3 - 13*u**2 Collect the terms in 7 + 9 + 6 - 7*i - 30. -7*i - 8 Collect the terms in 3 - 3 + 410*l + 382*l - 674*l. 118*l Collect the terms in 127691*o + 3 + 127694*o - 255382*o - 3. 3*o Collect the terms in 596*a**3 + 556*a**3 - 1127*a**3. 25*a**3 Collect the terms in 17*v**3 - 18 + 9*v**3 - 35*v**3 + 18*v**3. 9*v**3 - 18 Collect the terms in -1 - 33122494*t + 1 + 33122504*t. 10*t Collect the terms in 26066 + 5*d - 8624 - 8630 - d - 8812. 4*d Collect the terms in 60*w - 5 + 9*w - 4*w - 2. 65*w - 7 Collect the terms in 0*h + 9 - 33*h - h. -34*h + 9 Collect the terms in -24*p + 11*p - 51*p. -64*p Collect the terms in 10*t + 4*t + 2934296 - 2934297. 14*t - 1 Collect the terms in 330*h**2 - 3*h + 322*h**2 - 651*h**2. h**2 - 3*h Collect the terms in 216 - 452 + 4*d**3 + 102 - 2*d**3 + 134. 2*d**3 Collect the terms in 19029*s - 2922*s**2 + 2921*s**2 - 19029*s. -s**2 Collect the terms in -274*y**3 + 270*y**3 + 238*y**3. 234*y**3 Collect the terms in -4439*v**2 + 4439*v**2 + 124*v**3 + 288*v**3 + 2. 412*v**3 + 2 Collect the terms in 3417*k**2 - 1729*k**2 - 1696*k**2. -8*k**2 Collect the terms in -37*c**3 + 122*c**3 + 0*c + 0*c + 141*c**3. 226*c**3 Collect the terms in 4 + 8*c - 1 - 3*c - 3. 5*c Collect the terms in 2*z**3 - 29 - 5654*z**2 + 0*z**3 + 5654*z**2. 2*z**3 - 29 Collect the terms in -91 + 400168*x**2 + 91. 400168*x**2 Collect the terms in -5*o + 22*o - 8*o + 9*o**3 - 9*o. 9*o**3 Collect the terms in 620*k - 47*k**2 - 621*k + 16*k**2. -31*k**2 - k Collect the terms in -2*y - 12*y + y - 40*y**2 + 5*y - 15*y. -40*y**2 - 23*y Collect the terms in 169930*o + 169930*o - 339861*o. -o Collect the terms in -98*w + 757*w - 370*w + 911*w. 1200*w Collect the terms in 0*y - 2030*y**2 + 0*y + 681*y**2 + 658*y**2 + 680*y**2. -11*y**2 Collect the terms in -3 + 5 + 132*b**2 - 2 + 78*b**2 - 202*b**2. 8*b**2 Collect the terms in 2 + 15*w**3 + 12*w**3 - 18*w**3. 9*w**3 + 2 Collect the terms in -12 - 15*j + 1 + 11 + 3*j + 15*j. 3*j Collect the terms in -251 + 226 + 11*p**2 + 25. 11*p**2 Collect the terms in -5916*r - 972*r - 521*r - 2914*r. -10323*r Collect the terms in 366*h - 136*h - 230*h + h**3. h**3 Collect the terms in 3 + 39 + 8*z + 0*z + 22 - 7*z + 2. z + 66 Collect the terms in 2*v - 1900*v**2 - v - 3*v + 0*v. -1900*v**2 - 2*v Collect the terms in -51*r + 13*r + 21*r + 14*r + 15*r. 12*r Collect the terms in -10 + 124*t + 131*t + 10. 255*t Collect the terms in 8179*s - 8179*s - 66*s**2. -66*s**2 Collect the terms in 4257 - 4231 + 2*d + 2*d. 4*d + 26 Collect the terms in -39*t**2 - 2239723 + 2239723. -39*t**2 Collect the terms in 3 - 476167*b - 3 + 476090*b. -77*b Collect the terms in 6 - 119*u - 16 - 44*u + 11. -163*u + 1 Collect the terms in -68*w - 56*w + 52*w. -72*w Collect the terms in 2*h**3 - 34*h + 9*h**3 - 15*h - 18*h. 11*h**3 - 67*h Collect the terms in -1246929*l + 623422*l + 623465*l. -42*l Collect the terms in -140*f**3 + 11681*f**2 - 11681*f**2. -140*f**3 Collect the terms in -659*t - 692*t + 1178*t. -173*t Collect the terms in -12*u - u + 18*u + 9*u + 49*u. 63*u Collect the terms in 1037*i**2 + 1273*i**2 + 3*i - 3*i. 2310*i**2 Collect the terms in -54*y**2 + 15*y**2 + 36*y**2. -3*y**2 Collect the terms in 131 + 126 + 131 + s**2 + 153 - 539. s**2 + 2 Collect the terms in a - 132 + 12 + 92 - 2*a + 28. -a Collect the terms in -65*o**3 - 7 + 1 + 50*o**3 + 26*o**3. 11*o**3 - 6 Collect the terms in -46*n**2 + 136*n**2 + 15*n**2 - 34*n**2. 71*n**2 Collect the terms in -170*d**3 + 23*d**3 - 128*d**3 + 2*d**2. -275*d**3 + 2*d**2 Collect the terms in 11920*q**3 - 4*q + 3707*q**3 + 4*q. 15627*q**3 Collect the terms in -75101 + 75144 + 6*r**2 - 3*r**2. 3*r**2 + 43 Collect the terms in -2*m - 5200*m**2 + 52488*m**2 + 2*m. 47288*m**2 Collect the terms in -38*k + 84*k - 43*k. 3*k Collect the terms in 139*q**2 - 79*q**2 + 58*q**2. 118*q**2 Collect the terms in -14*t + 14*t - 11*t + 105*t**2 + 108*t**2 - 212*t**2. t**2 - 11*t Collect the terms in -22*z + 338 + 335 + 375 - 1048. -22*z Collect the terms in 0 + 262*g**3 + 0 + 26*g**3 + g**2 + 5*g. 288*g**3 + g**2 + 5*g Collect the terms in 194441 - 10*j**2 - 194441 - 29*j**2 - 64*j**2 + 47*j**2. -56*j**2 Collect the terms in -1 + 1 - 172*f**3 - 32*f**3. -204*f**3 Collect the terms in -5677439 + 5677439 + 52*d. 52*d Collect the terms in -2241685 - 11*s**2 + 2241685. -11*s**2 Collect the terms in 18*r**3 + 22*r - 5*r - 17*r - r. 18*r**3 - r Collect the terms in 4*z - 46113 - 46038 + 92151. 4*z Collect the terms in 3*d - 9*d - 10 + 10*d + 5*d. 9*d - 10 Collect the terms in 83*s - 83*s - 978*s**2. -978*s**2 Collect the terms in -3141 + 7*g + 6325 - 3184. 7*g Collect the terms in -242*a**3 + 454*a**3 + 126*a**3. 338*a**3 Collect the terms in -1977*u**2 + 2*u**3 + 974*u**2 + 0*u**3 + 0*u**3 + 1003*u**2. 2*u**3 Collect the terms in 23*w**2 - 3604*w + 2241*w + 1363*w. 23*w**2 Collect the terms in 30*s**3 + 689*s**3 - 62*s**3. 657*s**3 Collect the terms in 28 + 10*o - 105 + 40 + 37. 10*o Collect the terms in -6 + 6 + 944*q - 370*q + 414*q. 988*q Collect the terms in 1 - 443*r**2 - 11*r**3 + 443*r**2. -11*r**3 + 1 Collect the terms in -934*f**3 - 1051*f**3 + 1977*f**3. -8*f**3 Collect the terms in -573025*f**3 + 286511*f**3 + 286516*f**3. 2*f**3 Collect the terms in 16*u**2 + 15*u**2 - 21
{ "pile_set_name": "DM Mathematics" }
-5 in decreasing order. 136, 5, 3, 1, -4, -5 Sort 2/5407, 1/5, 1/2, -5, 4 in descending order. 4, 1/2, 1/5, 2/5407, -5 Put 0.06, -1/5, -4520 in increasing order. -4520, -1/5, 0.06 Put 369, 5, -213 in decreasing order. 369, 5, -213 Sort 2/19, 5310, 2/13, -1 in ascending order. -1, 2/19, 2/13, 5310 Put 97, -100, -4, -2, 5 in ascending order. -100, -4, -2, 5, 97 Put -4, -2, 806179 in descending order. 806179, -2, -4 Put -1, -5, -2, 526, 1 in decreasing order. 526, 1, -1, -2, -5 Put 118, 0, -40, -2, -3 in ascending order. -40, -3, -2, 0, 118 Sort 7, 4, 6, 2, -5, 3 in increasing order. -5, 2, 3, 4, 6, 7 Sort 1, -55, -114, 0 in ascending order. -114, -55, 0, 1 Sort -74447, -2, 38. -74447, -2, 38 Sort -1/5, 24, 2033. -1/5, 24, 2033 Put -763, 0.1, 1, -55 in descending order. 1, 0.1, -55, -763 Sort 107, -4, -1, -20, 1 in descending order. 107, 1, -1, -4, -20 Put -9, -190, 2 in descending order. 2, -9, -190 Put -0.104, 4, 11/10 in decreasing order. 4, 11/10, -0.104 Put 45, -54, 4, -3 in increasing order. -54, -3, 4, 45 Put 172385, -6, -5 in increasing order. -6, -5, 172385 Sort 5, -13, -21787 in descending order. 5, -13, -21787 Put -4, 3, 1, 0, 566 in decreasing order. 566, 3, 1, 0, -4 Sort 3, 5, 224, 4, -3 in decreasing order. 224, 5, 4, 3, -3 Sort -2/11, -3, -12, 5, 36, -34 in descending order. 36, 5, -2/11, -3, -12, -34 Sort -4, 0.06, 2/7, -44/41 in decreasing order. 2/7, 0.06, -44/41, -4 Put 3, 13, -1, 1, -723 in descending order. 13, 3, 1, -1, -723 Sort -72, 8, -448. -448, -72, 8 Sort 0.13, 0.143, 0.1, 4, -2 in descending order. 4, 0.143, 0.13, 0.1, -2 Sort 4, 1, -4, 6575, -1, 0 in ascending order. -4, -1, 0, 1, 4, 6575 Sort -2, -3, 101, -21 in increasing order. -21, -3, -2, 101 Sort 1.4, -1/2, -4, 0, -18 in descending order. 1.4, 0, -1/2, -4, -18 Put 38, -1/121, 0.2, -4, 1/3 in descending order. 38, 1/3, 0.2, -1/121, -4 Put -3, -2, 2, -7, 4359 in descending order. 4359, 2, -2, -3, -7 Put 180, 7, -2, -11 in increasing order. -11, -2, 7, 180 Put -4, -13, 352, -3, -5 in descending order. 352, -3, -4, -5, -13 Sort 2, 21, 0.2, -2/9, 0.4 in ascending order. -2/9, 0.2, 0.4, 2, 21 Sort -3, -2, -466, 1 in decreasing order. 1, -2, -3, -466 Sort 2, 0.3, -109, -7, -1/6 in descending order. 2, 0.3, -1/6, -7, -109 Put -844, -4, -21, 4 in decreasing order. 4, -4, -21, -844 Put 1, 792, -22, 5, 0 in ascending order. -22, 0, 1, 5, 792 Sort 4, 0.15, 341 in descending order. 341, 4, 0.15 Put 11, -13, 5, -29 in ascending order. -29, -13, 5, 11 Put 1, 5, -2, -4, 35086, 3 in ascending order. -4, -2, 1, 3, 5, 35086 Put 5, -4, 436, -3 in decreasing order. 436, 5, -3, -4 Put 4, -94, -1, -4, -228 in ascending order. -228, -94, -4, -1, 4 Put 7, -5, 16, 5, 1 in descending order. 16, 7, 5, 1, -5 Sort -18, -1337/5, -2 in decreasing order. -2, -18, -1337/5 Put -3, 1, 1/9, -418, -0.4 in descending order. 1, 1/9, -0.4, -3, -418 Sort -1, -0.4, 1, 0.3, 1568, -4. -4, -1, -0.4, 0.3, 1, 1568 Put -22, -14, -0.2, 64 in decreasing order. 64, -0.2, -14, -22 Sort -1, 1636026, 4 in descending order. 1636026, 4, -1 Put 5, 1, -5, 3, -7 in increasing order. -7, -5, 1, 3, 5 Put 5/7, 165, 1/5 in increasing order. 1/5, 5/7, 165 Sort -558363, 5, 4 in descending order. 5, 4, -558363 Sort 4, -10413, -1. -10413, -1, 4 Sort 1, -35, 2, -6, -25 in ascending order. -35, -25, -6, 1, 2 Put -4, -1, 130, -18 in descending order. 130, -1, -4, -18 Sort -113, 2, 3707 in descending order. 3707, 2, -113 Sort -2/7, 1.13, -2/9, 117 in descending order. 117, 1.13, -2/9, -2/7 Sort 0.35, 0.004, -2, -3/7, 3, 5/6 in increasing order. -2, -3/7, 0.004, 0.35, 5/6, 3 Sort -4, -3, -7, 174 in descending order. 174, -3, -4, -7 Sort -5, -7, 91, 0.05 in descending order. 91, 0.05, -5, -7 Sort 1, -171513, 11. -171513, 1, 11 Sort -2, 2/7, 167992. -2, 2/7, 167992 Sort 21, -6, -2527 in ascending order. -2527, -6, 21 Put 1, -1, 824, -4, 23 in increasing order. -4, -1, 1, 23, 824 Sort 3, -2, 16, 6, 15 in decreasing order. 16, 15, 6, 3, -2 Put -0.02, 0.85, 0.19, 45 in decreasing order. 45, 0.85, 0.19, -0.02 Sort -5, -3, 0.7594. -5, -3, 0.7594 Sort 1, 1/5, 91, -0.08. -0.08, 1/5, 1, 91 Put 0.09, 0, 4, -3, -409 in decreasing order. 4, 0.09, 0, -3, -409 Put -7, 41, -2, 1, 1.9, 7 in increasing order. -7, -2, 1, 1.9, 7, 41 Sort 163, -2, -5, -11, 31, 5 in descending order. 163, 31, 5, -2, -5, -11 Put 818, 0, -4/3, -5 in descending order. 818, 0, -4/3, -5 Sort -4, 230, -12, 0, 2 in decreasing order. 230, 2, 0, -4, -12 Put -1, 175, 5, 3, -4, 11 in decreasing order. 175, 11, 5, 3, -1, -4 Put 5/3, 1/5, -4, 5, 1.03, -0.39 in increasing order. -4, -0.39, 1/5, 1.03, 5/3, 5 Sort -2, 1, 0.24, -0.03, 2/3 in ascending order. -2, -0.03, 0.24, 2/3, 1 Put 2/55, 0.3, -37/3, -2/109 in decreasing order. 0.3, 2/55, -2/109, -37/3 Put 1/3, -269, 2 in descending order. 2, 1/3, -269 Put 12, -1, 9, 30 in decreasing order. 30, 12, 9, -1 Sort 4, -4, 2/25, 6, 1.5. -4, 2/25, 1.5, 4, 6 Sort -6, 0, -1935, -3. -1935, -6, -3, 0 Put -3, -41, -9 in ascending order. -41, -9, -3 Put 0.8, -1, 407006 in decreasing order. 407006, 0.8, -1 Sort 2/5, -1/28, -5/2, 2, 7. -5/2, -1/28, 2/5, 2, 7 Put 0.6, 0, -1, 2, -2/23 in decreasing order. 2, 0.6, 0, -2/23, -1 Put -5, -18, -1168 in descending order. -5, -18, -1168 Sort 1, -1.129, 3, 0.18, -0.3 in increasing order. -1.129, -0.3, 0.18, 1, 3 Sort -2, 3, -11, -9, 0 in descending order. 3, 0, -2, -9, -11 Sort -58, -15, -330 in decreasing order. -15, -58, -330 Sort -2/7, -2.1, -2.2, 0.06 in descending order. 0.06, -2/7, -2.1, -2.2 Put 1, -2, -396, 5, -1 in ascending order. -396, -2, -1, 1, 5 Put 2.46, -2/7, -150 in increasing order. -150, -2/7, 2.46 Put -0.2, 3/7, 0, 2, -0.07, 376 in decreasing order. 376, 2, 3/7, 0, -0.07, -0.2 Sort -26, -1, -657. -657, -26, -1 Sort 1, -2, 99, 5, -4, 301 in decreasing order. 301, 99, 5, 1, -2, -4 Sort -89, 2, -0.1, -0.5, 2/3 in ascending order. -89, -0.5, -0.1, 2/3, 2 Sort 30, 0, 5, -56 in decreasing order. 30, 5, 0, -56 Put -12/5, 1779, 3, 0.2 in descending order. 1779, 3, 0.2, -12/5 Put -3/62, -13, 14 in descending order. 14, -3/62, -13 Sort 0, 127, 4, 76, -5. -5, 0, 4, 76, 127 Sort -29, -1, 4, -74 in descending order. 4, -1, -29, -74 Sort -63, 410, -1 in descending order. 410, -1, -63 Sort -1/4, -1/2, 2/7, -35, -1. -35, -1, -1/2, -1/4, 2/7 Put 122, -0.1, 4, -4, 0 in descending order. 122, 4, 0, -0.1, -4 Sort -6, -1807, 1, 0, 2 in ascending order. -1807, -6, 0, 1, 2 Put -1/85, -109, 3 in increasing order. -109, -1/85, 3 Put -284, 0, 9, -1, -6, -2 in increasing order. -284, -6, -2, -1, 0, 9 Sort -2, 1, -7, 5, 0, -5 in increasing order. -7, -5, -2, 0, 1, 5 Put -5, 68959, 2 in decreasing order. 68959, 2, -5 Sort -4, -14, 1101, 5. -14, -4, 5, 1101 Sort -9, 411, 6. -9, 6, 411 Sort 5, 0.205, 159, -1/7 in ascending order. -1/7, 0.205, 5, 159 Put 0.0361, -3, 17, 1 in ascending order. -3, 0.0361, 1, 17 Put 1, -5, -39, 4 in increasing order. -39, -5, 1, 4 Put -2, 16, 31 in decreasing order. 31, 16, -2 Sort -7, 54, -1/8, 2, 2/5, -0.041 in ascending order. -7, -1/8, -0.041, 2/5, 2, 54 Put 3, 15, 0, 28, 5 in descending order. 28, 15, 5, 3, 0 Sort -2, -1, -12, 25. -12, -2, -1, 25 Sort 1, 217, 2, -14 in descending order. 217, 2, 1, -14 Sort -7, 3, -0.1, -107, -5 in increasing order. -107, -7, -5, -0.1, 3 Put -6, -4, 3, 302, 1, -3 in decreasing order. 302, 3, 1, -3, -4, -6 Sort 1, 6, 4, 3, 47. 1, 3, 4, 6, 47 Put 3, -13, 25, 5, 54 in increasing order. -13, 3, 5, 25, 54 Put 4, -4, -5, 6, 0, -35 in decreasing order. 6, 4, 0, -4, -5, -35 Put -710, -4, 168 in increasing order. -710, -4, 168 Put 1310, 13, -2 in increasing order. -2, 13, 1310 Sort 2/23, 0.3, -0.06, 29, 0.2 in ascending order. -0.06, 2/23, 0.2, 0.3, 29 Put 0, 14, -127, -2/7, 2/9 in descending order. 14, 2/9, 0, -2/7, -127 Sort 54, 39, -5, 1, 2, -4 in ascending order. -5, -4, 1, 2, 39, 54 Sort 0, -1, 4, -1871. -1871, -1, 0, 4 Sort 0, 294, 4, -4, 1, 5 in ascending order. -4, 0, 1, 4, 5, 294 Put -3/13, -685, 3/7 in decreasing order. 3/7, -3/13, -685 Sort -2/15, 1, -0.2, 3, 1/83704 in decreasing order. 3, 1, 1/83704, -2/15, -0.2 Sort -2, -435, -3, 1, -22, -1 in increasing order. -435, -22, -3, -2, -1, 1 Sort 2/9, 0.11, -5, -0.1, -101. -101, -5, -0.1, 0.11, 2/9 Sort -2/3, 0.2, -68581 in descending order. 0.2, -2/3, -68581 Sort 4, 1, -477, -4, -3, 0 in ascending
{ "pile_set_name": "DM Mathematics" }
g? 21 Let k(j) = -4*j + 4. Let z = 2 - 1. Suppose -z - 149 = -5*p. What is the remainder when p is divided by k(-3)? 14 Let h be -1 + -2 + (6 - 1). Let s = h - -1. Suppose 0 = -s*f - 0*f + 15, -p + 5*f = 21. Calculate the remainder when 11 is divided by p. 3 Suppose 0*v + v + 31 = 4*k, 0 = 2*k + 2*v - 28. What is the remainder when k is divided by 4? 1 Let f(z) = z**3 - 4*z**2 - 6*z + 6. Suppose -a + 4*n + 9 = 0, -4*n = 5*a - 2*n - 23. Let s(y) = y - 5. What is the remainder when s(7) is divided by f(a)? 0 Let i(y) = y + 2*y - 20*y. What is the remainder when i(-2) is divided by 18? 16 Suppose -9 = -3*w + 2*w. Let f = w - 0. Let y = -5 + f. What is the remainder when y is divided by 2? 0 Let c = -7 - -37. Calculate the remainder when c is divided by 10. 0 Let i(v) = v**3 + 7*v**2 + 4*v - 6. Let o(m) = m**3 + m + 6. Let w be o(0). What is the remainder when i(-5) is divided by w + 0 + (-3)/(-1)? 6 Let d(x) = -x**2 + 8*x + 16. Calculate the remainder when 60 is divided by d(8). 12 Suppose d - 2*d - 2*a = -57, -3*a - 67 = -d. Calculate the remainder when d is divided by 32. 29 Let o = 3 + 0. Suppose 0*j - o*j = -6. Suppose 24 = 3*p - 3*l - 3, 0 = 4*p - j*l - 42. Calculate the remainder when 22 is divided by p. 10 Let b(g) = g**3 - 5*g**2 - g. What is the remainder when 117 is divided by b(6)? 27 Let t(k) = k**3 + 4*k**2 - 4*k - 6. What is the remainder when 28 is divided by t(-4)? 8 Suppose -3*z = -0*z. Suppose -8 = -z*o - o. Let b = -11 + 34. What is the remainder when b is divided by o? 7 Calculate the remainder when 27 is divided by 3/(2/(84/9)). 13 Suppose 3*q = 0, 2*q - 7*q + 178 = 2*t. Calculate the remainder when t is divided by 13. 11 Let l = 8 + -4. Suppose 73 = l*c - 43. What is the remainder when c is divided by 10? 9 Let q = 30 + -22. Calculate the remainder when -22*(2 + -3) - 0 is divided by q. 6 Let w = 47 + -35. Calculate the remainder when 57 is divided by w. 9 Let v be (-2)/11 + 57/11. Suppose d + v*j = 6*d, 2*j - 3 = -d. Suppose 4*b + 15 = 2*o + o, -b - 5 = -2*o. What is the remainder when d is divided by o? 0 Suppose 7*u + 5*o = 3*u + 77, -u = 4*o - 22. Calculate the remainder when 103 is divided by u. 13 Let t(h) = -h**2 - 16*h - 5. Calculate the remainder when ((-56)/6)/((-2)/6) is divided by t(-15). 8 Let p be (-10)/(-4)*2*-1. Let w(f) = -f**3 - 5*f**2 - 3*f - 7. Let v(a) = 6*a - 1. Calculate the remainder when v(4) is divided by w(p). 7 Let g = -6 - -11. Suppose 2*x = -r + 11, 7*r - 4*r + 4*x = 31. Calculate the remainder when r is divided by g. 4 Let r(t) = -3*t - 65. Calculate the remainder when r(-27) is divided by 4. 0 What is the remainder when 42 is divided by 20/(-40)*(-21 + -1)*2? 20 Suppose 3*s - 5*r - 19 = 0, 5*r = -5*s + 5 - 0. Suppose 3*l + 4 = 4*l. Calculate the remainder when ((-1)/s)/(2/(-66)) is divided by l. 3 Let x(c) = c + 47. Calculate the remainder when x(-5) is divided by 11. 9 Suppose -4*d + 115 + 37 = 0. Let v(s) = 12*s**2 + s. Calculate the remainder when d is divided by v(1). 12 Suppose -5*b - 140 = -5*f, 0 = f + b + 4 - 22. Let d = f + -11. Let h = 19 - -3. What is the remainder when h is divided by d? 10 Suppose w - 29 = -0*w - 4*x, 3*w + x - 87 = 0. Suppose -5*t + 69 = -141. What is the remainder when w is divided by 4/14 + 408/t? 9 Let m(s) = 5*s**2 + 11*s + 6. Let c be m(-9). Suppose -x - 2*x = -c. Let k = 147 - x. What is the remainder when k is divided by 15? 13 Let g(k) = 26*k**2. Calculate the remainder when g(-1) is divided by 14*4/(-16)*-4. 12 Let r = 11 - 5. Calculate the remainder when 16 is divided by 42/r + 1 + 1. 7 Let p = -52 - -73. What is the remainder when p is divided by 3? 0 Let p(i) = i**2 - 3*i - 2. Let d be p(4). Suppose d*g + g + 6 = 0, 0 = -h + 3*g + 8. What is the remainder when h is divided by (4/(-5))/((-4)/10)? 0 Let s = 6 - 2. Suppose -4*n + 20 = -2*n. Suppose -3*g + s*g + 5*y - 19 = 0, 2*g - 4*y = n. What is the remainder when 16 is divided by g? 7 Suppose 0 = -l - 4*l + 10. Suppose -3*t + 3*j = -57, -55 = -3*t - 0*j + l*j. What is the remainder when t is divided by (-12)/(-10)*15/3? 5 Let h = 105 - 61. Calculate the remainder when h is divided by 15. 14 Let d = 46 + -1. What is the remainder when d is divided by 24? 21 Let k = -20 - -5. Let y = 38 - k. What is the remainder when y is divided by 1778/98 + (-2)/14? 17 Let m(b) = 3*b. Let i be m(3). Let g be i + (2 - (2 - 1)). What is the remainder when 13 is divided by g/(1/(-1)*-2)? 3 Suppose 6 = j + 5*u - 4*u, 2*j = -u + 10. Suppose -5*w = -j*i - 72, 6*w = 2*w + i + 51. Suppose w = 5*o - 53. What is the remainder when 36 is divided by o? 10 Let x(n) = n**2 - 7*n + 9. Let u(a) = a**3 - 3*a**2 + 2*a + 4. Suppose j = 4*t - 3 - 11, -7 = -3*t - j. What is the remainder when u(t) is divided by x(6)? 1 Let h(t) = 54*t**3 + 2*t**2 - 2*t + 1. Calculate the remainder when h(1) is divided by 19. 17 Let f be 7/((-1)/4 + 0). Let j = f + 39. Let s = -27 - -48. Calculate the remainder when s is divided by j. 10 Let t(s) = s**2 + 3*s - 5. Suppose 2 = -v - 5. Calculate the remainder when t(v) is divided by 6. 5 Let q(i) = i**2 + 2*i + 1. Suppose 3 = u, 2*d - 2*u - 72 = -12. Calculate the remainder when d is divided by q(2). 6 Suppose 4*t - 8 = 12. Suppose 9 = 2*x + x - 2*k, -t = -4*x + 5*k. Suppose p - 1 = x. Calculate the remainder when 10 is divided by p. 4 Let h(m) = -m**2 - 8*m + 5. Let a(p) = -p**2 + p. Let v be a(-2). Calculate the remainder when 49 is divided by h(v). 15 Let m(o) = -4*o**2 + 1. Let s be m(-1). Let g be (-2 + s/(-2))*-10. Suppose -g - 25 = -2*b. Calculate the remainder when b is divided by 4. 3 Suppose 56*p - 61*p + 45 = 0. Calculate the remainder when 43 is divided by p. 7 Suppose -5*r + 12 = 3*l - 7, 2*l - 42 = 4*r. Suppose 0*k = 4*k - 96. What is the remainder when k is divided by l? 11 Suppose -4*i = -4*m + 20, 4*i + 0*i - m = -5. Let r = i - -8. What is the remainder when r is divided by 3? 2 Let q(w) = -w**3 + 6*w**2 - 4*w - 2. Let v be q(5). Suppose -v*r + 91 + 14 = 0. Let l = 19 + -7. What is the remainder when r is divided by l? 11 Let c(u) = -u**3 + 6*u**2 + u - 6. Let s be c(6). Let p = 133 - 77. Suppose 4*d = -s*d + p. What is the remainder when 41 is divided by d? 13 Let k be (-2)/8 + 564/16. Suppose -2*y = 3*y - k. What is the remainder when 18 is divided by y? 4 Let l = -51 - -62. Suppose -88 - 2 = -3*y. What is the remainder when y is divided by l? 8 Suppose 4*c - 17 = -0*d - d, c = -2*d + 13. Suppose -32 = 2*x + 4*g, -x = -d*g - 6 - 6. Let b = 8 - x. Calculate the remainder when b is divided by 6. 4 Suppose -3*o = -23 - 1. Let c = 64 - o. What is the remainder when c is divided by 29? 27 Let s be 4*1/2 - 13. Let z = s + 13. What is the remainder when 2 is divided by z? 0 Let q(g) = -g**2 - 17*g - 13. What is the remainder when q(-11) is divided by 14? 11 Suppose f + 4*q = 3 - 9, 0 = -4*f - 2*q - 24. Let g(n) = n**2 - 2*n + 4. What is the remainder when g(f) is divided by 27? 25 Suppose -y + 7 + 13 = 3*w, w - 4 = 0. Suppose -2 = 2*m - 8. What is the remainder when y is divided by m? 2 What is the remainder when (2 + (-24)/15)*35 is divided by 4? 2 Let p be 5 - (0/(-3) + 0). Let a(i) = i**2 - i - 1. What is the remainder when a(5) is divided by 2/4*(p + 9)? 5 Let j = 24 - -6. What is the remainder when 56 is divided by j? 26 Let p = 32 + -18. Let q = p + -5. Suppose -4*a = -q*a + 45. What is the remainder when 25 is divided by a? 7 Suppose 2*b + 4*v - 126 = 0, 3*b - v - v - 173 = 0. Let x = 24 + 6. Calculate the remainder when b is divided by x. 29 Let q(d) = -d**2 + 7*d - 4. Calculate the remainder when q(6) is divided by 2. 0 Let w(d) = -12*d + 9*d + d**2 - 6 + 0*d**2. What is the remainder when 15 is divided by w(5)? 3 Suppose -2*c + 36 = -3*l, 0 = -4*c + l + 11 + 61. What is the remainder when 68 is divided by c? 14 Let y(c) = -2*c + 1. Let b be y(1). Let m = b + 1. Suppose s - 1 - 4 = m. What is the remainder when 13 is divided by s? 3 Let k = -9 + 10. Suppose 0*h - 25 = -5*h + 2*a, 3*a - k = 2*h. Calculate the remainder when h is divided by 4. 3 Let c(l) = l**3 - 3*l. What is the remainder when 143 is divided by c(3)? 17 What is the remainder when 7 is divided by 2/4*(-30)/(-3)? 2 Let v(q) be the second derivative of q**5/20 + q**4/2 + 2*q**3/3 - 8*q. Let h = -10 + 5. Calculate the
{ "pile_set_name": "DM Mathematics" }
descending order. 6, 0, -4, -26 Put 1, -4, 5 in decreasing order. 5, 1, -4 Put 4, 7, -8, -2 in descending order. 7, 4, -2, -8 Put 4, 0, 2, -37 in descending order. 4, 2, 0, -37 Put 0, 18, 14, -1, 5 in ascending order. -1, 0, 5, 14, 18 Put 1, 4/7, -6/11, -3 in descending order. 1, 4/7, -6/11, -3 Put 3, -105/8, -0.3, 12/11 in increasing order. -105/8, -0.3, 12/11, 3 Put 0.4, -1, 0.03, -0.07 in descending order. 0.4, 0.03, -0.07, -1 Sort 2/3, 5, -0.2, -1/3 in descending order. 5, 2/3, -0.2, -1/3 Put -4/3, -2/9, 0.36 in descending order. 0.36, -2/9, -4/3 Put 5, 2, 0, 166 in descending order. 166, 5, 2, 0 Put 6, 5, 4 in decreasing order. 6, 5, 4 Sort -2, -186, 1, 5 in ascending order. -186, -2, 1, 5 Put 0.5, 6, 1, -0.3, -0.2 in descending order. 6, 1, 0.5, -0.2, -0.3 Sort -1, 5, 2, 4 in descending order. 5, 4, 2, -1 Put -2, 9, 2, -5, 28 in descending order. 28, 9, 2, -2, -5 Sort 0.2, 9, -5/3, -4/5. -5/3, -4/5, 0.2, 9 Put -2/5, 3, 13, 9 in decreasing order. 13, 9, 3, -2/5 Sort -2/5, 3, 0.085 in ascending order. -2/5, 0.085, 3 Sort 5, 0.4, 5/7, 1 in descending order. 5, 1, 5/7, 0.4 Sort -1, 369, -32 in increasing order. -32, -1, 369 Sort 4, 3, 2. 2, 3, 4 Sort 2, 17, 0 in increasing order. 0, 2, 17 Sort 19, 1/6, -5, -0.4. -5, -0.4, 1/6, 19 Sort -243, 3, -6 in ascending order. -243, -6, 3 Put -3/2, 10, 3/5 in decreasing order. 10, 3/5, -3/2 Sort -2/7, -1/9, -2, -206 in decreasing order. -1/9, -2/7, -2, -206 Sort -1/6, 5/4, -1/4, 15 in decreasing order. 15, 5/4, -1/6, -1/4 Sort 6, -5, -3, 1 in ascending order. -5, -3, 1, 6 Put 2, 4, -1107, 1 in increasing order. -1107, 1, 2, 4 Sort -10, 2, 5, 6 in decreasing order. 6, 5, 2, -10 Sort 15, 1, 0.56 in decreasing order. 15, 1, 0.56 Put 3, 0, -2, -3, -46 in decreasing order. 3, 0, -2, -3, -46 Sort 0.5, 0.4, 3, -0.4 in descending order. 3, 0.5, 0.4, -0.4 Put -6, 4/3, 0.809 in descending order. 4/3, 0.809, -6 Sort -5, 0, 34, -3. -5, -3, 0, 34 Sort 3/5, 2.1, 0.2 in decreasing order. 2.1, 3/5, 0.2 Sort -5, -4, -21 in descending order. -4, -5, -21 Put 4, -3, 8, 10 in ascending order. -3, 4, 8, 10 Sort -41, 3, -5, -3 in descending order. 3, -3, -5, -41 Put 0, -0.08, -1/4, -0.1 in ascending order. -1/4, -0.1, -0.08, 0 Sort -69, -3, -1 in descending order. -1, -3, -69 Put -7, 1, -2, -3 in decreasing order. 1, -2, -3, -7 Sort 3/4, 3, 4, 6 in descending order. 6, 4, 3, 3/4 Sort -5388, 4, 3 in decreasing order. 4, 3, -5388 Put -2, -96, -4, 0, 1 in descending order. 1, 0, -2, -4, -96 Sort -1, -11, -9 in descending order. -1, -9, -11 Sort -1, -1/5, -3, -2/11 in decreasing order. -2/11, -1/5, -1, -3 Sort 117, -2, 2. -2, 2, 117 Sort -6/11, -10, 3 in decreasing order. 3, -6/11, -10 Sort 0.4, 0.5, 0.3, 0.8. 0.3, 0.4, 0.5, 0.8 Sort -42, 5, -1 in descending order. 5, -1, -42 Sort -5, 10, 4, 26 in decreasing order. 26, 10, 4, -5 Sort 22/15, 0.9, 0.2 in ascending order. 0.2, 0.9, 22/15 Sort -16, 47, 5 in decreasing order. 47, 5, -16 Put 1449, 1, 4 in increasing order. 1, 4, 1449 Sort 2, 0.014, 4 in descending order. 4, 2, 0.014 Sort 35, 5, -4, -5 in ascending order. -5, -4, 5, 35 Sort -5, 0, -3, -1, 28. -5, -3, -1, 0, 28 Sort 0.3, -1/4, 0, -17, 5 in increasing order. -17, -1/4, 0, 0.3, 5 Sort -5, -129, 0, 3. -129, -5, 0, 3 Put -52, 0, 2/9, 2/5 in increasing order. -52, 0, 2/9, 2/5 Sort -2, -1, 4. -2, -1, 4 Sort -1, 3, 9 in increasing order. -1, 3, 9 Sort 1/3, -0.3, -2/13, 16, 0 in decreasing order. 16, 1/3, 0, -2/13, -0.3 Sort -1, -3, -7 in descending order. -1, -3, -7 Sort -6, 7, 2. -6, 2, 7 Put -3, -17, -1 in decreasing order. -1, -3, -17 Sort -4/5, 0.1, -1/11 in ascending order. -4/5, -1/11, 0.1 Sort -61, -59, -0.5 in decreasing order. -0.5, -59, -61 Put 25, -3/10, 0.4, 3/5, -3 in ascending order. -3, -3/10, 0.4, 3/5, 25 Put 3, -1/5, 1, 28, -4/5 in decreasing order. 28, 3, 1, -1/5, -4/5 Sort 4, -2, 75, -13 in ascending order. -13, -2, 4, 75 Put 0, 1875, -4 in descending order. 1875, 0, -4 Put -0.15, 3, 16, -2 in decreasing order. 16, 3, -0.15, -2 Put 10, 2/3, 0, -0.5, -4/3 in descending order. 10, 2/3, 0, -0.5, -4/3 Put 1452, 3/2, 0.5 in descending order. 1452, 3/2, 0.5 Sort 4, -8, -807 in descending order. 4, -8, -807 Put -39, -2, 1 in decreasing order. 1, -2, -39 Put 2, -19, -5 in decreasing order. 2, -5, -19 Sort -8, -5, 24 in increasing order. -8, -5, 24 Put 0.3, -1/2, -1/3, 10/47, -2/13 in descending order. 0.3, 10/47, -2/13, -1/3, -1/2 Sort -15/11, 5, -3 in descending order. 5, -15/11, -3 Put 3, 2, -5, 4 in ascending order. -5, 2, 3, 4 Put 2, 15, -1, 3, 36 in decreasing order. 36, 15, 3, 2, -1 Put 6, -2/5, -4, 4 in decreasing order. 6, 4, -2/5, -4 Sort -3/8, -0.09, -0.051. -3/8, -0.09, -0.051 Sort 1/4, 3, 0.0097, -3/2 in decreasing order. 3, 1/4, 0.0097, -3/2 Sort -5, -15, -6 in decreasing order. -5, -6, -15 Put -1, 142, 8, 4 in decreasing order. 142, 8, 4, -1 Sort -278, -2, 0.3, 2/13. -278, -2, 2/13, 0.3 Sort 1/5, -6, -4/9, 14/3 in decreasing order. 14/3, 1/5, -4/9, -6 Put -4, -3, -1, 332 in ascending order. -4, -3, -1, 332 Put 1610, 3, 2/13, 1/2 in decreasing order. 1610, 3, 1/2, 2/13 Sort 6, 2, -3/5, -3 in ascending order. -3, -3/5, 2, 6 Sort -1/3, 0, 1.5 in increasing order. -1/3, 0, 1.5 Sort 2/5, -21, 1/6, -12/41 in descending order. 2/5, 1/6, -12/41, -21 Sort 1, 4, 37. 1, 4, 37 Put -4, 6, -29 in descending order. 6, -4, -29 Sort -1, -4, 3, 7 in increasing order. -4, -1, 3, 7 Put 17, 5, 3, -2 in decreasing order. 17, 5, 3, -2 Put 0.03, -660, 3 in increasing order. -660, 0.03, 3 Put -2, 27, 2, 8 in decreasing order. 27, 8, 2, -2 Sort 2, 14, 3 in descending order. 14, 3, 2 Put -65, 2/11, 0.4, 0.3 in descending order. 0.4, 0.3, 2/11, -65 Sort 5, -9, 72. -9, 5, 72 Sort 10, 4, -3 in decreasing order. 10, 4, -3 Sort 0.2, -50, 2/11, 4 in ascending order. -50, 2/11, 0.2, 4 Put 4, 9, -1.4, -0.3 in ascending order. -1.4, -0.3, 4, 9 Sort -3, -4, -3/5, -1. -4, -3, -1, -3/5 Sort -61, -5, -4, -1 in ascending order. -61, -5, -4, -1 Sort 2/3, 1/6, 3/4, -4, -30. -30, -4, 1/6, 2/3, 3/4 Sort -0.4, -0.27, -41/5, 0 in increasing order. -41/5, -0.4, -0.27, 0 Sort 10/3, -6, 0.2 in ascending order. -6, 0.2, 10/3 Sort 3, 4, 1, 5 in descending order. 5, 4, 3, 1 Sort 2/9, 3, -2, 22, 8. -2, 2/9, 3, 8, 22 Sort 0.1, 3/8, 6/11. 0.1, 3/8, 6/11 Sort -5, -8, 218, 3 in ascending order. -8, -5, 3, 218 Put 18, 4, -4, -6, -3 in increasing order. -6, -4, -3, 4, 18 Put 26, 3, -0.4, -1/4 in decreasing order. 26, 3, -1/4, -0.4 Sort 1/6, 6, 2/11 in descending order. 6, 2/11, 1/6 Put -1, -2, -15 in descending order. -1, -2, -15 Sort -3, 5, 20 in descending order. 20, 5, -3 Sort -3/2, 2, 1/6, 1/3, -0.1 in increasing order. -3/2, -0.1, 1/6, 1/3, 2 Sort 7, 5, 2, -189 in decreasing order. 7, 5, 2, -189 Sort 1/3, 37, -0.5 in decreasing order. 37, 1/3, -0.5 Sort 0.1, 0.4, 0.5, 278. 0.1, 0.4, 0.5, 278 Put 113, -2, 1, -4, 0 in descending order. 113, 1, 0, -2, -4 Sort -1, -5, 1, 16, 22 in descending order. 22, 16, 1, -1, -5 Sort -0.22, 4, 1.3, -1/7. -0.22, -1/7, 1.3, 4 Sort -3/8, 2/229, -0.1 in ascending order. -3/8, -0.1, 2/229 Sort -4, -2, -271, -1. -271, -4, -2, -1 Sort -1, 3, -14 in ascending order. -14, -1, 3 Sort 1, -2, -315 in ascending order. -315, -2, 1 Put 4, -0.1558, -0.2 in decreasing order. 4, -0.1558, -0.2 Sort -39, -2/11, 1, -0.3, 2/7 in decreasing order. 1, 2/7, -2/11, -0.3, -39 Sort -1, -60, -4, 3. -60, -4, -1, 3 Sort -3, 57, 0 in decreasing order. 57, 0, -3 Sort 2.6, -0.4, -2/11 in ascending order. -0.4, -2/11, 2.6 Sort 3, -2, 36, 4. -2, 3, 4, 36 Put 1/2, -3/23, -4, 2, 3/5 in increasing order. -4, -3/23, 1/2, 3/5, 2 Put 3, 4, 0, 26 in descending order. 26, 4, 3, 0 Sort -78, 5, 2. -78, 2, 5 Put 0.2, 2/5, 3, 10 in decreasing order. 10, 3, 2/5, 0.2 Sort -3, -1, -2771 in descending order. -1, -3, -2771 Put 2/21, 41, -4, -2/13, -0.4 in descending order. 41, 2/21, -2/13, -0.4, -4 Sort -2/7, 3/7, 32, -4 in increasing order. -4, -2/7, 3/7, 32 Put -212, 1, -1 in increasing order. -212, -1, 1 Sort 5/2, 1/5, -2, 0 in descending order. 5/2, 1/5, 0, -2 Sort -22, 7, 5. -22, 5, 7 Put 2, 4, -2, 1182 in decreasing order. 1182, 4, 2, -2 Put -12, 1, -2, 3 in increasing order. -12, -2, 1, 3 Put 4, 2, -2, -1, 561 in increasing order. -2, -1, 2, 4, 561 Sort 0.6, -0.4, -1/23 in decreasing order. 0.6, -1/23, -0.4 Sort 375, 0, 1 in descending order. 375, 1, 0 Sort -25,
{ "pile_set_name": "DM Mathematics" }
M? 6:04 PM What is 204 minutes after 2:03 AM? 5:27 AM How many minutes are there between 1:34 PM and 2:14 PM? 40 What is 419 minutes after 9:06 AM? 4:05 PM What is 660 minutes before 12:39 PM? 1:39 AM How many minutes are there between 10:39 AM and 8:51 PM? 612 How many minutes are there between 3:11 PM and 3:06 AM? 715 What is 655 minutes before 2:59 PM? 4:04 AM How many minutes are there between 9:04 PM and 8:50 AM? 706 How many minutes are there between 3:35 PM and 12:21 AM? 526 What is 186 minutes after 10:34 PM? 1:40 AM How many minutes are there between 1:47 AM and 11:31 AM? 584 What is 104 minutes after 4:14 AM? 5:58 AM How many minutes are there between 11:16 AM and 11:22 AM? 6 How many minutes are there between 6:54 AM and 12:54 PM? 360 What is 505 minutes after 6:43 PM? 3:08 AM How many minutes are there between 9:17 AM and 7:12 PM? 595 How many minutes are there between 5:17 AM and 11:56 AM? 399 How many minutes are there between 4:55 PM and 3:13 AM? 618 How many minutes are there between 5:25 PM and 11:07 PM? 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459 What is 547 minutes after 8:56 AM? 6:03 PM How many minutes are there between 3:45 PM and 11:46 PM? 481 What is 491 minutes after 2:24 PM? 10:35 PM How many minutes are there between 2:32 PM and 3:16 PM? 44 How many minutes are there between 4:57 AM and 12:58 PM? 481 How many minutes are there between 8:15 PM and 2:14 AM? 359 How many minutes are there between 2:05 PM and 3:55 PM? 110 What is 616 minutes after 10:48 PM? 9:04 AM How many minutes are there between 2:28 AM and 7:33 AM? 305 What is 328 minutes after 5:05 PM? 10:33 PM What is 130 minutes before 8:37 AM? 6:27 AM What is 599 minutes before 9:12 AM? 11:13 PM What is 568 minutes after 12:15 AM? 9:43 AM How many minutes are there between 2:18 PM and 10:45 PM? 507 How many minutes are there between 6:55 AM and 7:09 AM? 14 How many minutes are there between 2:56 PM and 10:35 PM? 459 What is 283 minutes before 7:57 PM? 3:14 PM How many minutes are there between 4:17 PM and 2:28 AM? 611 How many minutes are there between 4:28 AM and 2:12 PM? 584 What is 402 minutes before 9:35 PM? 2:53 PM What is 246 minutes before 1:30 PM? 9:24 AM What is 661 minutes after 10:58 PM? 9:59 AM What is 557 minutes before 4:17 PM? 7:00 AM What is 388 minutes before 8:24 PM? 1:56 PM What is 560 minutes after 3:37 PM? 12:57 AM How many minutes are there between 4:52 PM and 2:16 AM? 564 How many minutes are there between 12:57 AM and 11:41 AM? 644 What is 345 minutes after 12:36 AM? 6:21 AM What is 77 minutes after 2:20 PM? 3:37 PM What is 167 minutes before 6:15 AM? 3:28 AM What is 209 minutes before 5:35 PM? 2:06 PM How many minutes are there between 8:05 PM and 8:56 PM? 51 How many minutes are there between 4:51 PM and 11:36 PM? 405 How many minutes are there between 2:55 PM and 5:12 PM? 137 How many minutes are there between 9:39 PM and 1:49 AM? 250 What is 304 minutes before 4:38 AM? 11:34 PM What is 194 minutes after 1:15 PM? 4:29 PM How many minutes are there between 2:15 AM and 11:39 AM? 564 What is 404 minutes before 4:49 PM? 10:05 AM How many minutes are there between 1:37 AM and 1:20 PM? 703 How many minutes are there between 2:01 AM and 11:56 AM? 595 How many minutes are there between 3:24 AM and 5:46 AM? 142 What is 528 minutes after 11:27 PM? 8:15 AM What is 265 minutes before 8:30 PM? 4:05 PM What is 36 minutes before 11:04 PM? 10:28 PM How many minutes are there between 11:26 AM and 5:10 PM? 344 What is 700 minutes before 4:28 PM? 4:48 AM What is 564 minutes before 9:02 AM? 11:38 PM What is 558 minutes before 9:52 AM? 12:34 AM What is 132 minutes after 3:46 PM? 5:58 PM How many minutes are there between 8:48 PM and 5:09 AM? 501 How many minutes are there between 3:56 AM and 9:11 AM? 315 What is 535 minutes after 9:08 PM? 6:03 AM How many minutes are there between 7:07 PM and 4:06 AM? 539 How many minutes are there between 3:28 AM and 3:23 PM? 715 How many minutes are there between 9:17 PM and 2:48 AM? 331 What is 295 minutes after 3:05 AM? 8:00 AM How many minutes are there between 4:05 PM and 1:53 AM? 588 How many minutes are there between 11:22 PM and 10:51 AM? 689 What is 505 minutes after 4:26 AM? 12:51 PM How many minutes are there between 1:22 PM and 12:17 AM? 655 How many minutes are there between 11:44 PM and 12:09 AM? 25 How many minutes are there between 3:13 AM and 8:22 AM? 309 What is 325 minutes before 6:57 AM? 1:32 AM How many minutes are there between 2:58 AM and 3:33 AM? 35 What is 237 minutes after 10:35 AM? 2:32 PM How many minutes are there between 3:06 AM and 8:04 AM? 298 How many minutes are there between 8:24 AM and 5:22 PM? 538 What is 675 minutes after 9:28 PM? 8:43 AM What is 685 minutes before 1:43 PM? 2:18 AM What is 71 minutes before 4:54 AM? 3:43 AM How many minutes are there between 12:21 PM and 11:46 PM? 685 How many minutes are there between 10:51 AM and 8:08 PM? 557 How many minutes are there between 6:43 PM and 3:05 AM? 502 What is 605 minutes before 7:47 AM? 9:42 PM How many minutes are there between 6:01 AM and 8:23 AM? 142 How many minutes are there between 10:41 PM and 9:41 AM? 660 What is 141 minutes before 5:12 AM? 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647 What is 597 minutes after 8:56 PM? 6:53 AM How many minutes are there between 2:50 PM and 2:11 AM? 681 How many minutes are there between 4:32 PM and 11:57 PM? 445 What is 647 minutes after 3:47 AM? 2:34 PM What is 325 minutes before 10:01 AM? 4:36 AM What is 121 minutes after 3:20 PM? 5:21 PM What is 194 minutes before 9:11 AM? 5:57 AM How many minutes are there between 3:44 PM and 11:09 PM? 445 What is 243 minutes after 4:56 PM? 8:59 PM How many minutes are there between 8:38 AM and 4:20 PM? 462 How many minutes are there between 1:25 AM and 6:23 AM? 298 How many minutes are there between 7:52 AM and 7:09 PM? 677 How many minutes are there between 10:56 PM and 1:47 AM? 171 What is 82 minutes before 2:42 AM? 1:20 AM What is 609 minutes before 12:24 PM? 2:15 AM What is 310 minutes before 3:23 AM? 10:13 PM What is 117 minutes before 3:49 AM? 1:52 AM What is 92 minutes after 4:33 AM? 6:05 AM What is 154 minutes after 12:54 AM? 3:28 AM How many minutes are there between 11:57 PM and 8:37 AM? 520 What is 158 minutes before 8:39 PM? 6:01 PM What is
{ "pile_set_name": "DM Mathematics" }
erivative of -19*t**6/30 + 4*t**4/3 - 14*t. What is the third derivative of k(n) wrt n? -456*n Suppose 0 = h - 2*h. Let t(m) be the first derivative of 0*m**4 + 0*m**2 - 1 + 2/5*m**5 + 2/3*m**3 + h*m. What is the third derivative of t(w) wrt w? 48*w Let p(k) be the second derivative of 0*k**2 + 0*k**3 - 6*k - 1/20*k**5 + 0 + 1/2*k**4. What is the third derivative of p(u) wrt u? -6 Let i(g) = -6*g**5 + 2*g**3 + g**2 - 2*g + 2. Let z(l) = -l**5 + l**3 + l**2 - l + 1. Let u(y) = -i(y) + 2*z(y). Find the third derivative of u(b) wrt b. 240*b**2 Let y = 4 + -7. Let l = -1 - y. What is the third derivative of 4*f**6 + 3*f**6 - 3*f**6 + f**l wrt f? 480*f**3 Let n(q) be the second derivative of q**7/14 + 3*q**3/2 + q. What is the second derivative of n(z) wrt z? 60*z**3 Let x(t) = -5*t**3 - 4*t**2 + 33*t. Let m(d) = 11*d**3 + 7*d**2 - 67*d. Let z(a) = -4*m(a) - 7*x(a). What is the second derivative of z(n) wrt n? -54*n Let o be 3 + 1 - (2 + -1). Differentiate o - 5*f - 15 + 9 with respect to f. -5 Let o(r) = r**3 + r**2 + 4. Let n be o(0). What is the first derivative of -2*q**3 - 11 - q**3 + 7 - n*q**3 wrt q? -21*q**2 Let p(w) be the second derivative of w**8/420 - w**5/30 - w**3/3 - 2*w. Let a(m) be the second derivative of p(m). What is the second derivative of a(l) wrt l? 48*l**2 Suppose 0*a - a = 0. Let q be 5/(2 + a + -1). What is the third derivative of -c**5 - 3*c**q + 0*c**2 + 3*c**5 + 3*c**2 wrt c? -60*c**2 Let s(i) be the third derivative of -13*i**7/210 - 7*i**4/12 - 3*i**2. Find the second derivative of s(l) wrt l. -156*l**2 Let p(i) = -i**2 - 7*i - 8. Let g be p(-6). Let d be 1/g + (-45)/(-10). Differentiate 6*r - 6*r - 3*r**d + 2 with respect to r. -12*r**3 Let r(v) = v**2 - 1. Let a be r(2). Find the second derivative of 0 + k**3 + a*k - 4*k**3 + 0 wrt k. -18*k Let c(s) = 2*s**4 + 3*s**3 + 12*s**2 + 3*s + 3. Let l(p) = -p**4 - p**3 + p**2 - p - 1. Let j(q) = c(q) + 3*l(q). What is the third derivative of j(t) wrt t? -24*t Differentiate -2*o - 5 - 2*o + 0*o - 7 with respect to o. -4 Let m(d) = -280*d + 280. Let h(r) = -33*r + 33. Let y(n) = 42*h(n) - 5*m(n). What is the first derivative of y(i) wrt i? 14 What is the third derivative of 13*x**2 + 6*x**2 - 3*x**3 + 11*x**3 wrt x? 48 Suppose -5*u - 5 = 2*c - 20, 3*u = 2*c + 25. What is the second derivative of -4*l**5 - 2*l**5 - l**u + 4*l**5 + 5*l wrt l? -60*l**3 What is the first derivative of -49*d - 51*d + 101*d + 26 wrt d? 1 Let x(s) = -1. Let r(m) = 18*m + 15. Let p(b) = -r(b) + 5*x(b). Find the first derivative of p(t) wrt t. -18 Let w(k) = 5*k**3 + 2*k**2 - 2*k + 15. Let t(u) = -u**3 + u**2 - u - 1. Let h(s) = 2*t(s) - w(s). Differentiate h(y) with respect to y. -21*y**2 Let y = 42 - 40. Let j(t) be the first derivative of 0*t**y + 0*t**4 + 0*t**5 - 1 + 0*t + 0*t**6 - 2/7*t**7 - 2/3*t**3. Find the third derivative of j(a) wrt a. -240*a**3 Let h(j) = -7*j**4 + 4*j**2 + 2. Let k(p) = -14*p**4 + 8*p**2 + 5. Let u(f) = 5*h(f) - 2*k(f). What is the third derivative of u(g) wrt g? -168*g Let v(h) be the third derivative of 0*h**5 - 7/24*h**4 + 0 + 1/105*h**7 + 0*h + 0*h**6 - 3*h**2 + 0*h**3. Find the second derivative of v(j) wrt j. 24*j**2 Let s(f) = 4*f**5 - 8*f**2 + 2*f - 2. Let t(z) = z**5 - z**2 + z - 1. Let m(y) = s(y) - 2*t(y). What is the third derivative of m(h) wrt h? 120*h**2 What is the third derivative of -12*d**2 + 3*d**3 + 3*d**2 - 3*d**3 - 9*d**4 wrt d? -216*d Let m(n) be the third derivative of -8*n**7/105 - n**3/3 - 8*n**2. What is the derivative of m(w) wrt w? -64*w**3 Let w(k) be the first derivative of 0*k - 3*k**2 + 0*k**3 - 3 - 1/2*k**4. Find the second derivative of w(d) wrt d. -12*d Let p be ((-3)/4)/(117/104)*-3. Let w(t) be the third derivative of 0*t - 1/20*t**5 + 0 + p*t**2 + 0*t**4 - 1/2*t**3. Find the first derivative of w(j) wrt j. -6*j Let s = -4 - -5. Let h(a) = -a**2 - 1. Let d(j) = 3*j + 2. Let f(g) = s*d(g) + 2*h(g). Find the second derivative of f(k) wrt k. -4 Let j(i) = i**4. Let o = 9 + -3. Let u(p) = -10*p**4 - 7*p**2. Let x(q) = o*j(q) + u(q). What is the third derivative of x(y) wrt y? -96*y Let f(k) = 2*k - 3. Let t be f(-3). Let h(l) = l**2 + 9*l + 5. Let d be h(t). Find the second derivative of -2*v - 2*v**4 + d*v**4 + 0*v**4 wrt v. 36*v**2 Differentiate -18*z**3 + 8*z + 11 - 22*z + 27 + 13*z with respect to z. -54*z**2 - 1 Let q(f) be the first derivative of f**6/15 - 5*f**4/12 - 2*f - 5. Let m(g) be the first derivative of q(g). What is the third derivative of m(s) wrt s? 48*s Let h(u) = -u**3 - u - 3. Let t = 2 + -3. Let a(i) = i - 1. Let r(n) = -7*n + 5. Let g(z) = 6*a(z) + r(z). Let q(k) = t*h(k) + g(k). Differentiate q(f) wrt f. 3*f**2 Let z(w) = w**3 - 4*w**2 + 7*w - 11. Let v be z(4). What is the third derivative of -6*o**2 - 9*o**2 + 5*o**4 + v*o**2 + 0*o**2 wrt o? 120*o Let i(z) = -z**2 - 6*z + 9. Let c be i(-7). What is the third derivative of -t**6 - 3*t**2 + 2*t**2 + c*t**6 wrt t? 120*t**3 Let a(w) be the second derivative of -w**9/5040 - w**6/720 - w**4/6 + 2*w. Let s(j) be the third derivative of a(j). Find the second derivative of s(l) wrt l. -36*l**2 Let i(c) be the first derivative of 0*c**2 + c**3 + 3/5*c**5 + 0*c**4 + 0*c + 3. What is the third derivative of i(t) wrt t? 72*t What is the third derivative of -4*t**3 - 9*t**3 + 13*t**3 + 10*t**4 - 5*t**2 wrt t? 240*t Let s(b) be the second derivative of b**6/5 - 7*b**2/2 + 7*b. Find the first derivative of s(d) wrt d. 24*d**3 Let m(h) = -9*h**4 + h**2 - 6*h - 6. Let v(n) = -8*n**4 - 5*n - 5. Let w(d) = -5*m(d) + 6*v(d). What is the third derivative of w(x) wrt x? -72*x Suppose 6*f = 7*f + 15. Let z be (-2)/(-6) + (-70)/f. Differentiate 2 - z*t**3 - 1 + 3*t**3 - 5 with respect to t. -6*t**2 Let s(j) be the first derivative of 2 - 5*j + 2*j + 0*j - j**3. Differentiate s(d) wrt d. -6*d Suppose -2 = 3*i - i - m, -m + 4 = 0. Let d = i + 1. What is the first derivative of 6*j**3 - 5*j**3 + 4 - d wrt j? 3*j**2 Find the second derivative of 44*v - 27*v + 1 + 59*v**2 - 16*v**2 wrt v. 86 Suppose 0*z - 3 = -z. Find the third derivative of -8*m**z + 11 - 11 - 3*m**2 - 2*m**2 wrt m. -48 Suppose -2*o + 0*o = -8. Let l be (-4)/6*(-1 + -2). Differentiate 0*w**2 + o*w**l - 1 - w**2 with respect to w. 6*w Let w = 22 - 23. Let l(s) = s**4 - 6*s**3 - 2*s**2 - 6*s. Let q(g) = g**3 + g. Let u(i) = w*l(i) - 6*q(i). What is the third derivative of u(o) wrt o? -24*o Differentiate 7 - 13 + 0 - 18*t with respect to t. -18 Let c(v) be the second derivative of 7*v**4/12 - v**3/3 + 6*v. Find the second derivative of c(p) wrt p. 14 Let s(d) = -d - 4. Let l be s(-4). Suppose l = 5*p - 0*p. What is the derivative of -3 + 0*t**2 + 1 - 3*t**3 + p*t**2 wrt t? -9*t**2 Let z(u) = 112*u - 145. Let d(w) = -57*w + 73. Let f(j) = -7*d(j) - 4*z(j). Differentiate f(c) with respect to c. -49 Differentiate -3*d + 7 + 5*d - 3*d - 8*d with respect to d. -9 Let u(i) be the third derivative of -11*i**7/210 + 17*i**3/6 + 31*i**2. What is the first derivative of u(a) wrt a? -44*a**3 Let q(x) = 6*x + 4. Let r(w) be the third derivative of -w**4/4 - 2*w**3/3 + 7*w**2. Let p(v) = -3*q(v) - 4*r(v). Find the first derivative of p(d) wrt d. 6 Let n(o) be the third derivative of o**8/20160 - o**6/720 + o**5/30 - 2*o**2. Let s(p) be the third derivative of n(p). Differentiate s(c) with respect to c. 2*c Find the second derivative of -16*s**3 - 8*s - 29*s + 0*s**3 + 19*s wrt s. -96*s Let p(w) be the third derivative of -w**8/1680 + w**5/60 - w**3/3 - w**2. Let g(r) be the first derivative of p(r). What is the second derivative of g(c) wrt c? -12*c**2 Find the third derivative of -4*i**4 - 1 + i**2 - 3*i**4 + 1 wrt i. -168*i Let w(h) be the third derivative of 7*h**4/24 + 4*h**3/3 + 22*h**2 + h. What is the derivative of w(u) wrt u? 7 Let l(u) = 15*u + 2. Let h(x) = 7*x + 1. Let o(m) = -9*h(m) + 4*l(m). Let k be o(-1). Differentiate -2 - 4*n**2 - 2*n**4 + 4*n**k + 4*n**4 wrt n. 8*n**3 Let k(t) be the first derivative of -t**6/24 + t**5/30 + t**2/2 - 1. Let s(x) be the second derivative of k(x). Find the third derivative of s(j) wrt j. -30 Let i = 8 + -6. Let b(a) be the first derivative of -i*a**2 - a**2 + 4*a**2 + 3*a - 3. Find the first derivative of b(q) wrt q. 2 Let n = -14 - -24. Let z(y) = -3*y**3 - 3*y - 5. Let b(c) = 2*c**3
{ "pile_set_name": "DM Mathematics" }
-26320332*m**2 - 53316*m + 5 Let w(x) = -34 + 1403*x**2 + 154 + 41. Let j(o) = 26*o**2 + 3. Let h(s) = 161*j(s) - 3*w(s). Let r(f) = -2*f**2. What is h(r(k))? -92*k**4 Let q(f) = f. Let l(j) be the first derivative of 0*j + 0*j**4 - 3 + 0*j**3 + j**2 - 7/30*j**5. Let z(a) be the second derivative of l(a). Give q(z(h)). -14*h**2 Let u(w) = 14*w - 20*w + 14*w. Suppose -10*f = 4*m - 5*f - 28905, 4*f = m - 7200. Let y(i) = i + 7220 - m. Calculate y(u(s)). 8*s Let z(w) = 76413 - 3*w - 76413. Let d(k) = -3*k**2 - 13*k. Determine d(z(h)). -27*h**2 + 39*h Let j(k) = 108*k**2. Let d(o) be the second derivative of 23*o**3/6 + 316*o. Calculate d(j(c)). 2484*c**2 Suppose 3*h - 936 = 201. Let n(u) = 0 - h*u**2 + 0 + 384*u**2. Let c(z) = 34*z. What is c(n(a))? 170*a**2 Let u(x) = 1589*x**2. Let m(w) = -6870*w**2. Give m(u(p)). -17346207270*p**4 Let z(a) = 2*a. Let v(n) be the third derivative of n**4/24 - 265*n**3/3 - 3*n**2 + 586. What is v(z(g))? 2*g - 530 Suppose 0 = 2*f + 2*f - 2*g - 18, 3*g = 4*f - 17. Suppose f*k - 258 = -k. Let m(d) = -87*d + 43*d + k*d. Let l(y) = -19*y. What is l(m(v))? 19*v Let z(f) = 111*f**2. Let t(y) be the first derivative of 19*y**3/3 - 3368. Calculate t(z(j)). 234099*j**4 Let h(u) = 8724*u. Let n(q) = 30*q. Determine n(h(o)). 261720*o Let q(u) = 27485*u - 5*u**2 - 27485*u. Let n(a) = -796*a**2. Give n(q(r)). -19900*r**4 Let o(f) = 5*f - 3*f - 5*f. Let r(a) = -6*a. Let u(q) = 6*q - 4. Let l be u(1). Let v(g) = 2*g. Let t(h) = l*r(h) + 7*v(h). Determine o(t(s)). -6*s Let v(a) = -15*a. Let z(p) = -5*p**2 + 2786*p - 5. Calculate v(z(m)). 75*m**2 - 41790*m + 75 Let a(i) = -227*i + 2. Let g(x) = -30*x - 64. Let d(c) = 6*c + 12. Let r(z) = 16*d(z) + 3*g(z). Give r(a(s)). -1362*s + 12 Let o(x) = -18226*x + 74. Let n(q) = -3*q. Calculate n(o(a)). 54678*a - 222 Let v(b) = -1343*b**2. Let u(o) = 317*o - 5. Calculate u(v(p)). -425731*p**2 - 5 Let h(j) = 4*j. Let t(g) be the third derivative of 2*g**2 + 0*g**3 - 18 + 7/30*g**5 + 0*g + 0*g**4. What is h(t(i))? 56*i**2 Let f(h) = h**2. Let g(u) = -8336768*u**2. Determine f(g(z)). 69501700685824*z**4 Let r(c) = -c**2. Let h(j) = 227774*j + 774. Determine h(r(w)). -227774*w**2 + 774 Let u(a) = 2*a + 13. Let f(m) be the third derivative of 5*m**4/8 + m**2 - 1784. Give f(u(h)). 30*h + 195 Let v(i) = -i. Let t(o) be the second derivative of -1657*o**4/12 + 608*o. What is t(v(a))? -1657*a**2 Let j(v) = 211591*v + 3. Let m(z) = -1306*z**2. Determine j(m(p)). -276337846*p**2 + 3 Let t(w) = -226*w**2 - 91*w. Let a(d) = 181*d. Give t(a(b)). -7403986*b**2 - 16471*b Suppose 5*h + 150 = -5*k, 0*k = 3*k + 12. Let g = 28 + h. Let a(s) = -s - g*s + 10*s - 6*s. Let o(y) = 12*y + 2. Calculate o(a(j)). 12*j + 2 Let c(x) = x + 1 - 1. Let l(f) be the third derivative of -70*f**2 + 0*f**3 + 0*f + 0 + 0*f**4 + 1/12*f**5. Calculate l(c(j)). 5*j**2 Suppose -3*b - 5 = 3*d + 2*b, d = -2*b - 3. Let k(q) = -q + 11 + d - 5. Let x(o) be the first derivative of o**2/2 - 3. Calculate k(x(m)). -m + 11 Let i(y) = -y - 34. Let o(a) = 827*a - 153. Give o(i(j)). -827*j - 28271 Let c(v) = -666*v**2. Let k(b) = 255318*b**2. What is c(k(x))? -43414729228584*x**4 Let x(u) be the first derivative of -5*u**2 + 186. Let a(c) = 4*c. Let i(m) = -m. Let z(y) = -a(y) + 2*i(y). Determine x(z(q)). 60*q Let j(n) = -1375662 + 1375662 - 80*n. Let m(p) = 0*p**2 + 3*p**2 - p**2 + 0*p**2. What is j(m(v))? -160*v**2 Let a(k) be the third derivative of 0*k**4 + 0*k**3 + 79 + 13/20*k**5 - 2*k**2 + 0*k. Let b(f) = 6*f**2. Give a(b(v)). 1404*v**4 Let n(k) = 13*k - 18. Let w(h) = -6*h + 8. Let z(o) = 4*n(o) + 9*w(o). Let f(b) = -4*b - 104. Let q(g) = g + 21. Let u(d) = 3*f(d) + 14*q(d). Give z(u(s)). -4*s + 36 Let r(j) = 14*j + 1. Let p(v) = 275*v + 20. Let d(w) = p(w) - 20*r(w). Let t(c) = -c**2 - 81*c. Determine t(d(s)). -25*s**2 + 405*s Let p(b) be the second derivative of -b**4 - 34*b + 1. Let u(m) be the second derivative of -23*m**4/12 - 360*m. Calculate p(u(y)). -6348*y**4 Let q(w) be the second derivative of 3/4*w**4 + 0*w**2 + 0 + 0*w**3 + 9*w. Let j(l) be the third derivative of l**4/24 + 39*l**2 + 1. What is q(j(g))? 9*g**2 Let x(l) = -3*l + 2. Let q(z) = -z**2 - 11491*z - 4. Give x(q(u)). 3*u**2 + 34473*u + 14 Let n(q) = -3*q**2. Let s(g) be the second derivative of -g + 0*g**2 + 35/6*g**4 + 0*g**3 - 36. Calculate n(s(p)). -14700*p**4 Let k(u) = -44*u**2 - u + 23*u**2 + 41*u**2 + 13*u**2 + 0*u. Let g(s) = -21*s**2. Calculate k(g(o)). 14553*o**4 + 21*o**2 Let p(h) = 25*h + 75. Let q(i) be the first derivative of i**2/2 - 2132. Determine p(q(o)). 25*o + 75 Let i(b) = 13043160*b**2 + 2*b. Let f(s) = -6*s**2. Determine i(f(w)). 469553760*w**4 - 12*w**2 Let w(z) = -65*z**2 - 8. Let c(o) = -22036*o - 22037*o + 44071*o. Determine c(w(s)). 130*s**2 + 16 Let q(c) be the second derivative of -c + 0*c**3 + 3 + 0*c**2 - 9/2*c**4. Let t(a) = 3*a. What is t(q(l))? -162*l**2 Let i(g) = -85*g**2. Let a(d) = -7*d + 18. Let n(x) = 40*x - 96. Let z(r) = -16*a(r) - 3*n(r). Calculate z(i(b)). 680*b**2 Let d(r) = -96*r + 49*r + 48*r. Let n(w) = -3*w + 3. Let u(f) = 3*f - 3. Let g(z) = z**2 - 12*z + 25. Let l be g(10). Let k(h) = l*n(h) + 6*u(h). Give d(k(t)). 3*t - 3 Let f(w) = -w**2. Let m(j) be the first derivative of 29*j**5/120 - 40*j**3 + 12. Let i(h) be the third derivative of m(h). Give i(f(p)). -29*p**2 Let x(b) = 126*b - 15 - 10 + 25 + 36*b. Let q(n) = 5*n. Calculate q(x(l)). 810*l Let w(b) = 2*b. Let s(k) = 8606*k - 20. Let p(c) = 2869*c - 7. Let j(x) = -14*p(x) + 5*s(x). What is w(j(d))? 5728*d - 4 Let k(w) = -3*w. Let u(c) = 1393*c**2 - 25*c. Let h(l) = 4180*l**2 - 70*l. Let i(b) = 5*h(b) - 14*u(b). Calculate k(i(m)). -4194*m**2 Suppose -3*o + 2*d + 92 = 0, -2*o - 2*d + 4*d + 64 = 0. Let b(u) = -14 - 88*u**2 + o*u + 13 - 28*u. Let r(n) = -n. Determine r(b(t)). 88*t**2 + 1 Let k(q) = 3*q**2. Let y(h) = 11223813*h. Calculate k(y(j)). 377921934776907*j**2 Let r(u) be the first derivative of u**2/2 - 31. Let x(b) = 5*b + 3. Let m(v) = -30*v - 16. Let a(n) = 3*m(n) + 16*x(n). Calculate a(r(k)). -10*k Let c be (-22 + 24)*(2 - 4). Let t(b) = -9*b**2 + 69*b - 4. Let r(u) = -7*u**2 + 71*u - 3. Let i(w) = c*r(w) + 3*t(w). Let n(l) = -l. Give i(n(q)). q**2 + 77*q Let y(g) = -13*g. Let j(s) be the third derivative of -173*s**5/20 - 5*s**2 + s - 15. Give j(y(l)). -87711*l**2 Let v(c) = c**2 + 18 - 21 + 3. Let p(d) be the third derivative of -23*d**5/15 - 40*d**2. Determine p(v(f)). -92*f**4 Let i(k) = 14*k + 2. Let j(q) be the third derivative of -q**5/6 + 52*q**2 + 5*q. Give j(i(p)). -1960*p**2 - 560*p - 40 Suppose -2*t - 2 = -5*x, -4*t = -3*x + 7*x + 4. Let v(u) = 2338*u - 2337*u + x + 0. Let r(d) = 18*d**2. Give r(v(w)). 18*w**2 Let c(k) = 2*k. Let p(z) be the second derivative of 313*z**6/720 - 29*z**4/6 - z**2 - 267*z. Let m(a) be the third derivative of p(a). Calculate c(m(s)). 626*s Let z(s) = 2*s + 3*s - 2*s - 4*s. Let k(f) be the first derivative of 34 + 0*f**2 + 31/3*f**3 + 2*f. Calculate z(k(c)). -31*c**2 - 2 Let s(d) = 452546*d. Let f(t) = 1805*t. Calculate s(f(y)). 816845530*y Let s(d) = 3*d**2 - 6*d - 6. Let b(q) = -2*q**2 + 5*q + 5. Let u(n) = -6*b(n) - 5*s(n). Let v(g) = 146*g - 303*g - 8*g**2 + 157*g. Give u(v(a)). -192*a**4 Let z(p) = -9 + 3*p - 6*p + 5*p. Let j be z(6). Let c(v) = -j*v + 3*v + 4*v + 0*v. Let a(t) = -5*t**2. Determine c(a(x)). -20*x**2 Let v(x) = -5434359*x. Let y(p) = 2*p**2. What is y(v(o))? 59064515481762*o**2 Let s(v) = 0*v**2 - 24 - 3*v**2 + 7*v**2 - 8 + 43. Let k(w) = 4*w**2. Calculate k(s(b)). 64*b**4 + 352*b**2 + 484 Let q(s) = -4*s + 339. Let g(h) be the first derivative of 2*h**3/3 + 1514. What is q(g(n))? -8*n**2 + 339 Let b(q) = -10*q**2. Let z(g) = 387993*g**2 + 3679*g + 3679. Let i(t) = 633*t**2 + 6*t + 6. Let h(r) = -3679*i(r) + 6*z(r). Determine h(b(x)). -84900*x**4 Let x(r) = 24*r. Let s(b) be the third derivative of -13*b**4/8 - 27*b**2 + b. Calculate x(s(f)). -936*f Let t(y) = -4*y - 1. Let f(q) = -2646*q**2. Calculate f(t(j)). -42336*j**2 - 21168*j - 2646 Let o(k) = -418*k**2. Let j(g) be the third derivative of -9*g**5/20 - 4128*g**2. What is j(o(r))? -4717548*r**4 Let n(a) = -4*a**2. Let o(w) = 387*w**2 - 829*w**2 + 384*w**2 + 11. Let d(k) = 15*k**2 - 3. Let p(q) = -22*d(q) - 6*o(q). Determine p(n(c)
{ "pile_set_name": "DM Mathematics" }
e (-4*g + 0*g + 2*g)*(2*g**2 - 2*g**2 + 4*g**2)*(2*g + g - g) to f*g**3 + o*g**2 + w*g**4 + p*g + m and give w. -16 Express (10 - 10 - 20 - 4)*(37*b - 37*b + 2*b**2) as f + a*b + s*b**2 and give s. -48 Express -35*f + 9*f - 24*f + 8*f as j*f + s and give j. -42 Rearrange 24 + 6*q - 22 - 2*q to the form i*q + o and give o. 2 Express (2*n - 1 - 5*n + n)*(31*n - 175 + 175) in the form u*n**2 + j + m*n and give m. -31 Express -246 + 246 + 23*x in the form g*x + m and give g. 23 Express (33 - 33 - 5*q)*(-5*q - q**2 + q + 2*q) in the form d*q**2 + i*q**3 + m + v*q and give i. 5 Rearrange 8*q + 19 + q - 12*q to the form c + i*q and give i. -3 Express (-1 - 2*c + 1)*(-5 + 8*c + 5)*(1 + 7 - 2) as b + d*c**2 + r*c and give d. -96 Rearrange -2*o - o - 11*o + o + 2*o - 2*o + (5*o - 2*o - o)*(-2 + 4 - 3) - 3 + 3 - o + 2*o - o + o to y*o + m and give y. -14 Express 0 - 2 + 60*p + 2 in the form h + d*p and give h. 0 Rearrange (3 - 5 + 0)*(2*h + h**2 - 2*h) + 3*h**2 - 2*h + 2*h**2 - 4*h**2 to the form d*h + n + f*h**2 and give f. -1 Express 0*m**3 - 36 - 3*m**3 + 4*m**3 in the form z*m**3 + i + j*m + b*m**2 and give z. 1 Express 160*z**3 + 1 - 2*z**2 - 161*z**3 + 4*z**2 + 6*z + 0*z**2 in the form d + m*z + a*z**2 + v*z**3 and give a. 2 Rearrange -2*c - 2*c**3 + 3 + 3*c + c**4 - 1 + c**4 to the form u*c**3 + a*c**2 + r*c**4 + x + g*c and give u. -2 Express -4 - 10*q**3 + 0*q + 4 - 3*q in the form a + g*q**2 + n*q + z*q**3 and give z. -10 Rearrange 11*p**2 + 8*p**2 - 2*p - 9*p**2 to the form a*p**2 + l*p + v and give l. -2 Rearrange 3*p**2 - 3 + 12*p - 8*p**2 - 14*p - p**3 + p**2 to k + m*p + w*p**2 + j*p**3 and give w. -4 Express -m - 12*m**3 - 7*m**3 + 3*m**2 - m**4 + 20*m**3 in the form j*m**4 + n*m**3 + t*m + f*m**2 + r and give t. -1 Rearrange (2*d**2 - d**2 - 2*d**2)*(-3 + 4 - 3) + 23*d**2 + 5*d**2 - 3*d**2 to w*d**2 + t + g*d and give w. 27 Rearrange -4*j - 6*j - 7*j + 4*j to the form q*j + a and give q. -13 Express g**3 + 0*g**3 - 2*g**3 - 5*g**3 - 6 + 8 - 1 + (4*g - 2*g + 0*g)*(2 - 2*g**2 - 2) + 5*g**3 + 2*g**3 - 3*g**3 as f*g**3 + x*g**2 + h + b*g and give h. 1 Rearrange -14 + 0*t**3 + t**3 - 6*t - t + 8*t to the form s*t**2 + f*t + l + n*t**3 and give l. -14 Express 3 + 1 - 4 - 2*z**2 + 2 in the form v + g*z + b*z**2 and give b. -2 Express 23*h**2 - 10*h**4 - 3 + 2 + 8*h**4 as j + d*h + k*h**2 + u*h**4 + w*h**3 and give k. 23 Express 5 + 2*o - 6*o + 2*o + 2*o**3 - 6*o in the form a*o + l*o**2 + d*o**3 + z and give a. -8 Express (306 - 152 - 148)*(2*a + 0*a - 3*a) as z + j*a and give j. -6 Express -2*f - 5*f + 5*f**2 + 3*f - 3*f**2 as l + t*f**2 + x*f and give x. -4 Express 5*f**4 - 3*f + f - 2*f**2 + 3*f**2 - 6*f**4 - 1 as j + d*f + k*f**3 + h*f**4 + c*f**2 and give h. -1 Express -3 + 3 + 2*q**3 + 1 + q**2 + 2*q**4 + 3*q**2 as n + b*q**2 + j*q + w*q**4 + g*q**3 and give j. 0 Express 4 - 11*g - 4 + 0*g as p*g + n and give n. 0 Express -19*r + r**3 - 2*r**2 + 4*r**2 + 17*r as t*r**2 + d*r + i*r**3 + l and give d. -2 Express 71 - 32*x - 71 + (0 + 0 + 2)*(-2 + 2*x + 2) as s + k*x and give k. -28 Rearrange 20*z**2 - 2*z**2 + 0*z**2 + 29*z**2 to l*z + n + q*z**2 and give q. 47 Rearrange -3 + 3 + t**3 + (-3*t**2 - 18*t**3 + 3*t**2)*(3 - 5 + 0) to p*t**2 + l + m*t**3 + o*t and give m. 37 Express -3*r**3 - r**2 + 1 + 64*r - 5*r**4 + 67*r - 133*r as j*r + k + z*r**2 + q*r**4 + t*r**3 and give z. -1 Rearrange (-2 - 1 + 0)*(17*y - 2*y**2 - 20*y + 0*y**2) to the form j*y**2 + m + x*y and give x. 9 Rearrange 3*c**3 - 1 - 2*c**3 - 3*c + c**3 - 2*c**4 - 3*c**3 to u*c + r*c**3 + d*c**4 + k + l*c**2 and give r. -1 Rearrange 4 - n + 9*n**4 - 2 + 2*n - 2*n**2 - 2*n**3 - 10*n**4 to y + f*n**3 + c*n + i*n**2 + r*n**4 and give c. 1 Rearrange (1 + 11*s - 11*s - 5*s**2)*(-2*s**2 + s + s**2 + 0*s**2) to the form z*s**4 + p*s**2 + n*s + q + b*s**3 and give z. 5 Rearrange (-2 + 2*u + 2)*(4 + 1 - 3) + 0*u - 3*u + u + (-7 + 4 + 0)*(-3 + 3 + u) to the form a*u + w and give a. -1 Express d - 2*d**2 - d + 12*d**2 - 17*d**2 - 6*d**2 + (-2*d + 3*d + 0*d)*(-4*d + 5*d + d) in the form s + r*d**2 + t*d and give r. -11 Express (z**2 - 3*z**2 - 10*z**2)*(-2 - 6 - 5)*(-3 - 3 + 4) in the form s*z + v + h*z**2 and give h. -312 Express -2*q + 2*q**2 + 5*q**4 - 2*q**4 - 4*q**4 - 6*q**3 - q**4 as v + n*q + m*q**2 + h*q**4 + d*q**3 and give m. 2 Rearrange (-1 - 1 + 6 - 2*h)*(-6*h**2 + 5*h**2 + 12*h**2) + (-2*h**2 - h**2 + 5*h**2)*(-h + 3*h - h) to the form d*h**3 + x*h + p + u*h**2 and give u. 44 Rearrange (-4*d + 2*d + 7*d)*(-1 - 3*d**3 + 1) to s + z*d**3 + k*d**2 + i*d**4 + y*d and give i. -15 Express 2*g - 4 + 6*g**2 + 3 + 2 - 3 in the form q + h*g**2 + a*g and give q. -2 Rearrange -31*t + 9 + 11*t + 16*t to the form w + i*t and give w. 9 Express 2*d**2 + 6*d**3 - d**3 - d**2 + 0*d**2 - 2 as o*d**3 + g*d + r*d**2 + i and give r. 1 Rearrange ((-3 + 5 - 3)*(4 - 1 - 5) + 0 + 0 - 2 + 1 + 0 - 2 - 18 + 10 + 22)*(-2*m - 3*m + 2*m) to the form v*m + n and give n. 0 Express 9*x**3 + x - 5*x**3 + x + 25 - 6*x**3 in the form v*x + n*x**2 + y + l*x**3 and give l. -2 Rearrange 9*i**3 - 3*i**4 - 8*i**3 + 3*i**4 - 2*i**2 + 2*i**4 to m*i**3 + p + c*i**2 + v*i**4 + u*i and give v. 2 Rearrange -150*t**2 + 20*t - t**3 - 8*t + 149*t**2 to the form j*t**2 + p*t**3 + a + k*t and give j. -1 Express (p**2 + 125 - 125)*(-2*p + 3*p - 2*p + 2) in the form g*p**2 + j + n*p + m*p**3 and give g. 2 Express 7*u - 71*u + 7*u in the form f*u + o and give f. -57 Rearrange (-2*s + 0*s + 4*s)*(-3*s + s + 0*s) + 18*s**2 + 7*s**2 - 5*s**2 to j*s**2 + q*s + y and give j. 16 Rearrange 4*a**3 - 56*a**2 + 1 - 6*a**3 + 46*a**2 to u*a + l*a**3 + y + i*a**2 and give l. -2 Rearrange h + 11*h - 11*h + h - h + 2*h + 0*h - 2*h + h + (3 + 3 - 4)*(-2*h + 0*h + 3*h) + (0*h - 3*h + h)*(-5 + 3 + 1) to k + x*h and give x. 6 Express 6*r**2 + 4*r**2 - 3*r**2 in the form j*r + b + x*r**2 and give x. 7 Rearrange (-5*h + h + 2*h)*(2 - 2 + 2*h**2) to t*h**3 + m + r*h + u*h**2 and give t. -4 Express 4*u - 6 - u**4 + 2 + 0 + 1 as j*u**4 + i + q*u**3 + v*u + w*u**2 and give i. -3 Express (-7 + 2 + 3 + (2 - 1 + 1)*(-1 - 2 + 1))*(3 - 3 + 11*n**2) as s*n**2 + r + o*n and give s. -66 Express r**2 + 1 - r - 120*r**4 + r**3 - 2*r**3 + 118*r**4 as g*r**2 + k*r**3 + y + o*r + p*r**4 and give o. -1 Rearrange (s - 2*s - 3*s)*(1 - 1 + 1)*(2*s - 2 + 2) to n*s**2 + u + q*s and give n. -8 Rearrange (-2*l**3 - 3*l**3 + 3*l**3)*(-2 - 2 + 2) + (5*l - 2*l + 0*l)*(2 + 1 + 0)*(3*l**2 + 6*l**2 + 5*l**2) to u*l**3 + y*l**2 + x + h*l and give u. 130 Rearrange (0 + 0 + w**2 + (-4 + 4 + 2*w)*(2 - w - 2) + 0*w + 0*w - w**2)*(-4*w + 1 + 2*w - 10*w) to the form y*w**3 + b + c*w**2 + t*w and give c. -2 Express 3*q**2 + 21*q**3 + 3*q**4 - 1 - 22*q**3 - q**2 as i*q**4 + u*q + w*q**2 + l + d*q**3 and give l. -1 Express (-7*o**2 - 2*o**2 + 3*o**2)*(-2 + 2 + o)*(-3 + 2 + 0) + (o**2 + 3*o**2 - 3*o**2)*(1 + 2*o - 1) in the form b*o + t + f*o**2 + a*o**3 and give a. 8 Express (-i + 2*i + 5*i)*(1 - 1 + i**3) - i**4 + 0*i**4 - 3*i**4 in the form p + b*i + k*i**2 + f*i**4 + z*i**3 and give f. 2 Express -o**2 + 11*o**2 - o**2 in the form w + d*o**2 + m*o and give d. 9 Express (4*j + 4*j - 3*j)*(-5*j + 2*j + 2*j) as l*j**2 + b*j + y and give l. -5 Express -45*i**2 + 17*i**2 - 14*i**2 - 128*i**2 as t*i**2 + u*i + o and give t. -170 Express (-10 + 52 + 13)*(-2*r**4 + 3*r**4 + r**4) in the form h*r + o + q*r**2 + z*r**4 + w*r**3 and give z. 110 Rearrange 0*o**2 + o**2 + 9*o**2 + 9*o**2 to the form l*o + d*o**2 + n and give d. 19 Express -d**3 + 36*d**2 + 4 - 34*d**2 + 3*d - 3*d as y*d + t*d**3 + b + u*d**2 and give u. 2 Express 372*j - 372*j - 3*j**2 as o*j + y + c*j**2 and give c. -3 Express -134 + 12*b**2 + 134 in the form t*b + x*b**2 + l and give x. 12 Express 8*t - 8*t + 16*t in the form m*t + r and give m. 16 Express (-2 - 8 + 4)*(-3*z + 0*z + 4*z)*(2 - 4 - 1)*(1 + 0 - 3) in the form t*z + x and give t. -36 Express -4*g + g - 37 - 3*g**3 + 37 as p + z*g + u*g**3 + y*g**2 and give z. -3 Rearrange (2 - 1 - 3)*(2 - 8 + 124*m - 127*m)*(2*m**3 + m**2 - m**2) to y + w*m**2 + f*m + i*m**4 + j*m**3 and give i. 12 Rearrange (-3*v + 48 - 48)*(0 - 1 + 0)*(-2*v + 0*v - 6*v) to the form x + c*v**2 + j*v and give c. -24 Express -2*w - 2 + 2*w**4 + 4*w**3 - 16*w**4 + 7*w**4 + 4*w**4 as i*w**2 + t*w**4 + d
{ "pile_set_name": "DM Mathematics" }
6 = n. Is t a multiple of 11? False Is 9 - (-174)/(-18) - 50/(-3) a multiple of 5? False Let y(f) = -f**2 - 7*f - 1. Let v be y(-6). Suppose 5 = -5*u - v. Let j = 26 - u. Is 4 a factor of j? True Let r be (2/4)/((-4)/(-56)). Let c = r - 6. Does 11 divide (c - 0) + 3 + 49? False Let v = 21 + -24. Let y(g) = -11*g + 2. Let o be y(v). Let l = o + -29. Is l a multiple of 6? True Let a(m) = -2*m + 6. Let v(o) = -5*o + 12. Let k(p) = -14*a(p) + 6*v(p). Let g be k(-7). Is 4 a factor of 4 + (g - (0 + 2))? True Suppose -5 = -5*s, n - 9 = -2*n - 3*s. Let a(d) = 24*d. Does 24 divide a(n)? True Suppose 5*i = -195 + 565. Is 12 a factor of i? False Suppose 19*p - 11861 = -10*p. Does 27 divide p? False Suppose 0 = -12*w + 724 - 232. Suppose -6*v + 763 = -w. Does 15 divide v? False Suppose -2*m - h + 11 = 0, 4*m = h - 6*h + 37. Suppose 3*r + y - 101 = 0, 4*r + r - m*y = 187. Does 7 divide r? True Let p = 0 - -2. Suppose 4*o = 2*m - 2, 4 = 4*m - 2*o - 6. Suppose -p*l - m*l + 200 = 0. Is l a multiple of 20? True Let h(j) be the first derivative of j**4/4 + j**3/3 + j**2/2 + 8*j - 19. Is 8 a factor of h(0)? True Let v be (1/(-3))/(3/(-135)). Is 69/v + (-2)/(-5) even? False Let u(l) = -20*l + 2. Let c(o) = -o**3 - 15*o**2 - 13*o + 12. Let j be c(-14). Is u(j) a multiple of 11? False Let s = -19 + 23. Suppose 0 = -s*q + 3*q + 41. Is q a multiple of 5? False Suppose 0 = 3*g, -q + 6*q + 2*g - 365 = 0. Is 32 a factor of q? False Let r be 5/2 - (-18)/12. Suppose 5*n - 3*k - 218 - 197 = 0, 0 = r*n + 3*k - 359. Is n a multiple of 6? False Suppose -2 = 2*c - 118. Does 3 divide c? False Let k = 76 - 72. Suppose 4*m - 2*r = 104, -k*m + 32 + 72 = -5*r. Does 5 divide m? False Let j(q) be the third derivative of 1/60*q**5 + 0 + 0*q - 2*q**2 + 0*q**3 + 1/6*q**4. Is 23 a factor of j(-8)? False Let b(y) = 3*y - 15. Let w be b(7). Let m be (4/8)/(2/4). Let x = w + m. Is 7 a factor of x? True Suppose 4*p - 795 + 167 = 0. Suppose 4*n - p = -37. Let m = n + 18. Is 10 a factor of m? False Let u(x) = -6*x + 5*x - 15*x - 6 - 9*x. Let d(v) = -v**3 + 7*v**2 + 9*v - 12. Let m be d(8). Does 27 divide u(m)? False Does 4 divide (-12)/18 + 1772/12 + -3? True Suppose -w + 6*w = -2*y + 691, 0 = -5*y - 5*w + 1765. Is y a multiple of 12? False Let w(l) = 16*l**2 + 28*l**2 + 26 - 8*l + 38*l - 4*l**2 - 6*l**3. Let p(y) = y**3 - 8*y**2 - 6*y - 5. Let c(j) = -11*p(j) - 2*w(j). Is 10 a factor of c(-7)? True Let m = -630 + 1062. Does 55 divide m? False Suppose v = 5*v + 8, -80 = -5*n + 5*v. Suppose 2*g + 4 = n, -g = 2*c - 193. Is 22 a factor of c? False Let d(z) = 7*z + 1. Suppose 5*i - 59 = -4. Let w be d(i). Suppose -5*t + 117 = -w. Is 8 a factor of t? False Let i(a) = -286*a**3 + 3*a + 2. Is i(-1) a multiple of 57? True Suppose 6*b - 3*b = 1764. Suppose b = -3*r + 9*r. Is r a multiple of 10? False Let a be (-1)/(-2) - 4/8. Suppose a = -11*l + 16*l - 20. Suppose -d - 43 = -2*i, 0 = i - l*i + 2*d + 63. Is 16 a factor of i? False Let s(j) = -3*j - 1. Let m(z) = 4*z + 1. Let d(h) = -4*m(h) - 5*s(h). Let k be d(4). Let a(f) = -2*f**3 - 2*f**2 + 5*f + 3. Does 16 divide a(k)? False Is 28/98 - 2518/(-7) a multiple of 72? True Suppose -1 = -t + 3, 0 = -3*h + 3*t + 348. Is 6 a factor of h? True Suppose 7712 - 663 = 19*l. Is l a multiple of 8? False Suppose 8*k = -0*k - 1312. Let y = -98 - k. Is 17 a factor of y? False Let w be (-2)/(-2*(-1)/(-8)). Is 16 a factor of (-8)/w*33*-1? False Let k(d) = 8*d**2 + 9*d - 56. Does 5 divide k(9)? False Suppose 3*v - v = 3*i + 106, 2*i = -2*v + 106. Let w = 78 + -47. Suppose v + w = 6*m. Does 7 divide m? True Does 6 divide (-88)/(-15) - ((-176)/165)/8? True Let n(q) = 26*q + 43. Is 11 a factor of n(3)? True Suppose -2*g - 5*h + 27 = 0, g + 4*h - 15 = h. Suppose k = 4*k. Let y = g + k. Is y a multiple of 2? True Let w = 539 - -148. Is 23 a factor of w? False Suppose -18*r + 84 = -204. Does 8 divide r? True Does 14 divide (-1)/(3*6/(-5598))? False Suppose 4807 = 19*v - 361. Is 34 a factor of v? True Let d = 3 - 0. Suppose 8*w = d*w + 15. Suppose -9 = -w*f + 18. Does 2 divide f? False Suppose -17220 = 110*j - 120*j. Does 21 divide j? True Let u = -11 - -74. Suppose -u = -2*g - g. Is g a multiple of 4? False Suppose -77 = -2*g - 5*t, 10 - 155 = -4*g - t. Let f = g + 13. Is 7 a factor of f? True Suppose 3*l = -92 + 902. Does 11 divide l? False Suppose 2*w - 3*w = -170. Suppose g + g - w = 0. Let n = g + -54. Does 7 divide n? False Let j(b) = -29*b - 71. Does 15 divide j(-7)? False Let a(t) be the first derivative of t**4/4 + t**2/2 - 2*t - 5. Suppose 0 = -4*y + 5 + 3. Does 4 divide a(y)? True Suppose -355 = -10*r + 175. Is 14 a factor of r? False Suppose -4*g + 0*a + 11 = 3*a, 9 = 5*g - a. Suppose -3*y = g*y + 185. Let w = 113 + y. Is w a multiple of 19? True Suppose -57 = 4*n + c, -5*c - 14 = -n - 2. Let p(u) = -12*u**2 + 2 - u**3 - 2 + 5*u + 2*u - 5. Does 22 divide p(n)? False Let z = -1 - -3. Suppose -3*t = -2*y + 60, -z*t - 4*y - 78 = t. Is (-2196)/(-99) + 4/t a multiple of 7? False Let u(h) = 7*h**2 + 1. Let z be 4/5 + 2/10. Suppose -z = -0*m - m. Is 8 a factor of u(m)? True Suppose -14 = -4*k - 6. Suppose -5*z + k*z - 331 = -5*p, 5*p + 5*z - 315 = 0. Is 13 a factor of p? True Does 27 divide 560/7*140/25? False Let d = -24 + 49. Suppose d = 16*y - 39. Does 4 divide y? True Let a = 692 + -302. Is 20 a factor of a? False Let q(t) = 5*t**2 + 4*t + 5. Suppose 0 = -4*o - 17 - 3. Let w be q(o). Suppose -3*g + 7*d - 2*d + 42 = 0, w = 5*g + 5*d. Is g a multiple of 7? False Suppose -2*b + 0*b = -212. Let n be (1 - 13/(-3))/(1/(-12)). Let g = b + n. Is 6 a factor of g? True Let l = 3 + 1. Suppose 0 = l*j + 3 - 19. Suppose -38 - 18 = -2*i - j*m, 122 = 4*i + 3*m. Does 16 divide i? True Let o(q) = -24*q - 171. Is 22 a factor of o(-20)? False Let p(d) = d**3 - 7*d**2 + d - 3. Suppose 0 = 2*o - 25 + 11. Let s be p(o). Suppose n + 19 = x, n = -s + 2. Is 10 a factor of x? False Let z = -6 + 10. Suppose 3*q = -x + 96, -q - 469 = -z*x + 4*q. Is x a multiple of 21? False Let d(q) = 2*q**2 - 5*q + 6. Let o be d(5). Let x = -82 + 60. Let z = x + o. Does 3 divide z? True Let g = -1450 + 2259. Suppose -3*p + g = t, 110 = p + 4*t - 156. Does 45 divide p? True Let r(z) = -33*z**2 + 25*z - 10. Let j be r(-6). Is (-17)/(-85) - j/10 a multiple of 7? False Let t(w) be the second derivative of 89*w**4/12 - w**2/2 + 6*w. Let s be t(1). Let p = 123 - s. Does 10 divide p? False Let z be (-7)/(-28) - 15/(-4). Suppose -4*l - 3*t + 18 = -l, 0 = -z*t + 4. Suppose l*s - 313 = -88. Does 13 divide s? False Suppose 3*n + 1327 = c, -12*n = -4*c - 9*n + 5353. Is c a multiple of 57? False Let h = 1068 + -706. Is h a multiple of 10? False Let h(n) = -n**2 - 2*n - 2. Let a be h(-3). Let d = 6 - a. Is 6 a factor of d? False Let w be 20/9 + 6/(-27). Let k = 16 + -12. Suppose -w*d - 48 = -k*d. Is 24 a factor of d? True Let n(u) = 46*u**2 + u - 24. Is n(3) a multiple of 80? False Suppose 0*z = -g - z - 74, -g + 5*z - 56 = 0. Let y = 226 + g. Does 18 divide y? False Suppose -11*j + 7*j = 20, 5*l - 3305 = 5*j. Is 41 a factor of l? True Suppose -4*k - 29 = d, 3*k + 5 = 3*d + 2. Let q be (-104)/(-24) - (-2)/k. Suppose -r - 24 = -q*r. Is r a multiple of 3? False Let c(f) = -f**2 - 12*f + 2. Let a be c(-12). Suppose 2*d + 327 = -5*k, -k + 357 = -a*d + 4*k. Let h = -103 - d. Is 17 a factor of h? True Does 2 divide (216/(-10) - -12)/((-2)/10)? True Suppose -22*n - 70 = -17*n. Is ((-12)/n)/(4/56) a multiple of 6? True Suppose 3*t - 74 - 226 = 0. Suppose -7*r = 4*n - 5*r - 168, -t = -2*n - 5*r. Is n a multiple of 20? True Let b(q) = q**3 + 8*q**2 + 3*q + 20. Let o be b(-8). Let x be o/28 - 44/(-14). Suppose 164 + 4 = x*c. Does 18 divide c? False Let o(n) = -n**2 - 5*n - 4. Let p be o(-3). Suppose -p*g + 30 = 5*v, 5*g - 35 = -5*v + 25. Is 9 a factor of (-4)/(-20) - (-138)/g? False Let n = 1 + 5. Let g(r) = 6*r**2 - 18*r - 8. Is 20 a factor of g(n)? True Let u = 1 - 12. Let y = 15 + u. Is 4 a factor of y? True Let k = 152 + -109. Is 13 a factor of k? False Let g = -10 - -13. Suppose 0 = 2*m + m + 4*t - 167, g*m = -t + 161. Suppose 67 = 5*f - m. Is f a multiple of 6? True Suppose 0 = 3*l - l + 14. Let k(o) = -o**3 - 7*o**2 + 4. Let y be k(l). Suppose 0 = -0*a + y*a - 164. Is 19 a factor of a? False Let i(l) be the third derivative
{ "pile_set_name": "DM Mathematics" }
sqrt(147)*2)*-6)**2 + -3 + 3 + 1 + (sqrt(147) + 1 + -3)**2. 4676*sqrt(3) + 22104 Simplify (sqrt(3) + (sqrt(75) + -2)**2 - sqrt(189)/sqrt(7)) + ((-3*sqrt(6))/sqrt(2) + (4 + sqrt(3))*-1)**2. 10*sqrt(3) + 143 Simplify 6*((sqrt(104)/(-2*sqrt(968)))**2 + -3) - ((3*sqrt(117) - sqrt(117))*-4)/(sqrt(9) - sqrt(576)*-2). -4317/242 + 8*sqrt(13)/17 Simplify ((sqrt(5103) - 1*sqrt(5103))/(sqrt(324)*-2) + -4 + (sqrt(28)*3)/sqrt(4) + -1)*-6. -18*sqrt(7) + 30 Simplify ((sqrt(76) + sqrt(76) + -3*(sqrt(76) - sqrt(76)*5))/sqrt(4)*1 - ((sqrt(76)*-2 - sqrt(76))*3)/((-2*sqrt(4) - sqrt(4))*6 + sqrt(4)))**2. 996379/289 Simplify (5*-2*sqrt(288) - (-4 + (sqrt(288) - 1*sqrt(288)) - sqrt(288)))**2 + 1*(-3*sqrt(128))**2. -864*sqrt(2) + 24496 Simplify (1*sqrt(15)/(2*sqrt(245))*-6*-5*6)**2*5. 121500/49 Simplify 1*((-6*sqrt(117)/(sqrt(9)*1 + sqrt(9)) + sqrt(52)/(-1*sqrt(576)))**2 + 4). 18373/144 Simplify (-5*-5*(1*sqrt(91)*2 + sqrt(91)))/(sqrt(21)/(sqrt(3) + sqrt(3) + sqrt(24)/sqrt(8)) - (sqrt(448)*-3 - sqrt(448))). 225*sqrt(13)/97 Simplify -3*(2 + 6*-6*(0 + 4 + -5 + sqrt(1088)))**2. -4234476 + 65664*sqrt(17) Simplify (-1*5*(2*(1 + -1 + sqrt(112)) - (-2*sqrt(112)*5 - (4 + sqrt(112) + 1 + sqrt(112) + sqrt(112))))*-3)**2. 135000*sqrt(7) + 5675625 Simplify ((sqrt(324)/(sqrt(144) - sqrt(9)))/sqrt(6)*5)/(-1*sqrt(75) + sqrt(24)/sqrt(72)). -5*sqrt(2)/14 Simplify ((1 + -5*(sqrt(7) + sqrt(63)) + 3)*-4 + (sqrt(28) + sqrt(280)/(sqrt(80)/sqrt(8) + sqrt(10)))/(2*sqrt(324) - sqrt(324)))**2. -7696*sqrt(7)/3 + 1628743/36 Simplify ((2*sqrt(110)*-2 - ((sqrt(110) - sqrt(110)*2)*5 - sqrt(110)))*6)/((sqrt(10) + sqrt(160))*2*3*-2)*4. -4*sqrt(11)/5 Simplify -1*2*((-1 + (-2 + sqrt(98) - sqrt(98))**2)*-4 - (1 + sqrt(98) + sqrt(98)*2 + -4)). 18 + 42*sqrt(2) Simplify -2 + (5*(sqrt(52) - sqrt(52)*-3) - sqrt(832)*1)/(sqrt(196)*3 - 6*sqrt(4)*-1). -2 + 16*sqrt(13)/27 Simplify (1*(sqrt(2205)*-2 - sqrt(2205) - sqrt(2205)))/(1*(2*sqrt(81))/sqrt(9))*5. -70*sqrt(5) Simplify (2*6*4*(0 + (sqrt(1053) - (sqrt(1053) - (0 + -2*sqrt(1053))) - sqrt(1053)))*-4)**2. 349360128 Simplify (-5*(-1 + sqrt(300)*2 + sqrt(300) + sqrt(300) + sqrt(300) + 3 + 3 + sqrt(300)) + 3 + 4)**2. 10800*sqrt(3) + 270324 Simplify (sqrt(2160) - -5*(sqrt(2160) + sqrt(2160) + -1*sqrt(2160) + sqrt(2160)))/(-1*(1*sqrt(132))/sqrt(11)) + -3. -66*sqrt(5) - 3 Simplify ((sqrt(168)/(2*sqrt(7)))/((sqrt(8) + sqrt(24)/sqrt(3))*1) - ((2*sqrt(99))/sqrt(11) - sqrt(9))/(-2*sqrt(12)/sqrt(4)))*-6. -9*sqrt(3)/2 Simplify (-6*(sqrt(85) + sqrt(85)*-1)*4)/(sqrt(40)/(sqrt(288) + sqrt(288)*2 + sqrt(288)))*4. 0 Simplify -1*((sqrt(133) + (sqrt(133) + (-2*sqrt(133) - sqrt(133)))*3 - (1*sqrt(133) - sqrt(133))*2)/(sqrt(112)*2 - (sqrt(7) - sqrt(140)/sqrt(5))) + -5)**2. -2500/81 - 50*sqrt(19)/9 Simplify (-2*(-3*sqrt(85)*1 + sqrt(85)*-1*-5))/((3*sqrt(40)/sqrt(4))/(sqrt(14)/sqrt(63)))*6. -8*sqrt(17)/3 Simplify ((3*2*sqrt(288) - sqrt(288)) + sqrt(288) + 4*(-1*sqrt(288))**2 - 5*(1 + (1 + sqrt(288) - sqrt(288)))**2) + -1. 72*sqrt(2) + 1131 Simplify 5 + (1*sqrt(513))/sqrt(588)*-3 + 4. -9*sqrt(19)/14 + 9 Simplify (-4 + sqrt(80) - 3*(sqrt(5) + 0))**2 + (5*(sqrt(5) + 1) - (sqrt(20)/sqrt(4) + -4)) - ((-2*sqrt(40)/sqrt(4))/(sqrt(2) + (sqrt(18) + sqrt(2))*2))**2*4. -4*sqrt(5) + 2350/81 Simplify (0 + (sqrt(38)*-2)/sqrt(2) + -2 + sqrt(76)/(sqrt(180)/sqrt(5)))**2. 20*sqrt(19)/3 + 511/9 Simplify (-1*(1 + sqrt(99)*-3 + -5)*3*-3*4*-2)**2. 373248*sqrt(11) + 4701888 Simplify 6*(4 + ((sqrt(60) + sqrt(120)/sqrt(2) - sqrt(60))/sqrt(5))/sqrt(4) + sqrt(3)*2 + sqrt(3) + 2 + sqrt(21)/sqrt(7)*-5)**2. -72*sqrt(3) + 234 Simplify ((-3 + sqrt(891) + 1 + 3)**2 - ((sqrt(891)*4)**2*2 + 4)) + -3 + -5. -27632 + 18*sqrt(11) Simplify -1*((sqrt(102) + (sqrt(102) - sqrt(102)*-1)*6 + 2*sqrt(102)*-5)/(2*1*sqrt(726)))**2. -153/484 Simplify 4*(-3*sqrt(91)*3*6)/(sqrt(7)*2*-4 - sqrt(42)/sqrt(96)). 288*sqrt(13)/11 Simplify (3 + (sqrt(171) + sqrt(171) + sqrt(171)*3)*-1 + sqrt(171) + -2 + 4 + 3*sqrt(171)*3 + 4)**2. 270*sqrt(19) + 4356 Simplify (sqrt(320) + 2 - 3*sqrt(320)) + -2 + (1 + sqrt(125) + -4)**2. -46*sqrt(5) + 134 Simplify -5 + (1*(2 + sqrt(108) + 0) - ((sqrt(108) + (sqrt(108) - 2*sqrt(108)))*-4 + (sqrt(108) - (0 + sqrt(108) + -1))))**2. 12*sqrt(3) + 104 Simplify ((sqrt(100)*2 - sqrt(100))/sqrt(5))/(sqrt(20)/(sqrt(2)*2)) + ((sqrt(216) + 1*sqrt(216))/sqrt(9))/((sqrt(72)*-2 - sqrt(72))/sqrt(6)) + 0. 4*sqrt(2)/3 Simplify ((sqrt(357)*-1*3)/(2*sqrt(7)*-3))/((sqrt(192)*-2 + (sqrt(48)*-1 - sqrt(48)))*4). -sqrt(17)/192 Simplify ((((sqrt(60) - sqrt(60)*2)*-4)/(sqrt(216)*-1))/(6*(sqrt(405)*1 + sqrt(405)) + sqrt(405) + (sqrt(405) - -6*(sqrt(405) + 1*sqrt(405)))))**2. 2/123201 Simplify 2 + ((sqrt(245) + 1 + -1 - -2*-1*sqrt(245))**2 - (sqrt(80)*-1 + (sqrt(40)/sqrt(2)*-4 + sqrt(20) - sqrt(20))**2)). -73 + 4*sqrt(5) Simplify ((3 + (2 + sqrt(288))*-6 + -1 + sqrt(288) + 2 + sqrt(288) + -5)*6*-2)**2. 179712*sqrt(2) + 687888 Simplify 4*(1 + 4*(4*(sqrt(243) + -5*sqrt(243) + 4) + -4)*4)**2. -3557376*sqrt(3) + 63849988 Simplify (-1 + -4 + -2 + (-6*1*sqrt(891)*4 - (2 + (sqrt(891) - (-3 + -1 + sqrt(891))))) + 1)**2. 5184*sqrt(11) + 513360 Simplify -6*(1 + 4*4*(-4*(sqrt(99) + sqrt(99) + 1 + sqrt(99)) - (0 + 1 + sqrt(99) + sqrt(99) - sqrt(99))))**2 + 4. -25736258 - 591552*sqrt(11) Simplify -2*(3 + -4*(sqrt(1100)*1 - sqrt(1100)) - (-3*2*sqrt(121) + sqrt(121) + sqrt(121))/(sqrt(22)/sqrt(2)*-3))**2. -514/9 + 16*sqrt(11) Simplify 3 + (5 + sqrt(245) + -5 + -4 + ((sqrt(245) + -1)*-5 - (sqrt(245) + 1 + -3 + sqrt(245))))**2 + -3. -252*sqrt(5) + 8829 Simplify (0 + (sqrt(1100) + 0)*1 - (1 + sqrt(1100) + 3 + -3))**2. 1 Simplify (sqrt(3264)*6 - sqrt(51) - (sqrt(1275)*-1 - sqrt(51)))/(sqrt(192) - -3*sqrt(192)*-4 - sqrt(192) - sqrt(192)) + 5. -53*sqrt(17)/104 + 5 Simplify (2*sqrt(65)*-1)/(sqrt(5) - (sqrt(55) - sqrt(880))/sqrt(11)) + ((-2*sqrt(156) - sqrt(156))*2)/(sqrt(72)/(sqrt(96) + sqrt(6))). -61*sqrt(13)/2 Simplify (-5*(-4 + (-1 + sqrt(1088))*6*6 - ((sqrt(1088) - (sqrt(1088) + -1)) + -1 + sqrt(1088) + (sqrt(1088) + 0)*6 + -5)))**2. -406000*sqrt(17) + 22905825 Simplify (-3 + -6*(sqrt(704)*-2 + 2 + sqrt(704)) - (0 + sqrt(704) + 1 + -2 + (sqrt(704) - (sqrt(704) + 0)))*-5)**2*3. -10560*sqrt(11) + 256752 Simplify -6*(sqrt(396) + 2 + sqrt(396) + 1 + -3 + 2 + sqrt(396) - ((0 + sqrt(396))*-2 + (2 + sqrt(396))*-6 + sqrt(396)))**2. -238776 - 10080*sqrt(11) Simplify 4 + (3*1*sqrt(363)*1 - ((sqrt(363) + -1)*6 + sqrt(363) + -1))**2. -616*sqrt(3) + 5861 Simplify 3*(sqrt(7)*-1 + -5 + sqrt(7) + sqrt(847) + 1 + 5) + 5 + (-1 + (sqrt(448) - (sqrt(448) + sqrt(448) + 1))*6)**2. 705*sqrt(7) + 16185 Simplify (-3*(4 + 1*(sqrt(833) + 0 + sqrt(833)*-1 + sqrt(833) + -2*sqrt(833)*-1)*-6)*-1)**2. -9072*sqrt(17) + 2429172 Simplify 4*(-2 + (-2*sqrt(132)*1 + -2*sqrt(132)*2)/((1*sqrt(108)*-1)/sqrt(9))). -8 + 24*sqrt(11) Simplify (2 + (4 + sqrt(175)*-2 + sqrt(175) - (1 + sqrt(175))*3 - (-1*sqrt(175) + -4 + 2*sqrt(175) + 3)) + -1)**2. -150*sqrt(7) + 4384 Simplify -2 + (6*(4 + -3 + -2*(1 + sqrt(99)) + 2))**2 + 5. -432*sqrt(11) + 14295 Simplify -5*((sqrt(66)/(3*((sqrt(3)*3 - sqrt(3)) + sqrt(3))))/(sqrt(12)/(sqrt(24)/sqrt(4))*3))**2. -55/729 Simplify ((-3*-2*sqrt(196))/(sqrt(128) + sqrt(128) + sqrt(128) + (-6*(1*sqrt(128) + sqrt(128)) + sqrt(128) + sqrt(128) - sqrt(128)) + sqrt(128))*-5)**2. 225/8 Simplify 2*((-3 + -1 + sqrt(1053) + -4)*3 + -2 + (sqrt(1053) - (-2*sqrt(1053) + -2))*-4)**2. 11016*sqrt(13) + 172898 Simplify (sqrt(130) + sqrt(130)*2*-2 - (sqrt(130) + (sqrt(130) - sqrt(130)*-2*4)))/(sqrt(240)/sqrt(6) + (sqrt(160) - -2*sqrt(160)) + sqrt(160)) + 1. -13*sqrt(13)/18 + 1 Simplify -5*sqrt(3564)*-4*1 - (2*(sqrt(3564) + 1 - sqrt(3564))*1)**2. -4 + 360*sqrt(11) Simplify (-4 + (sqrt(637) - (-1 + sqrt(637) + -2)) + 2 - (-4 + ((sqrt(832) + 1 + sqrt(832) - sqrt(832))*2 - sqrt(832)) + -3))**2. -96*sqrt(13) + 868 Simplify ((2*sqrt(800))/((sqrt(28)*-3)/sqrt(7)) + 5 + -2 + sqrt(14)/(sqrt(14)/sqrt(2) + sqrt(7))*-5)**2. -55*sqrt(2) + 3187/18 Simplify -2*((sqrt(1944) + -1*sqrt(1944))*-2*2)/(sqrt(588)*2 + sqrt(588) + 3*(sqrt(12) + sqrt(12)*-1)). 0 Simplify (-6*(sqrt(500) + 2) - 6*sqrt(500)*-3 - (3 + -4 + sqrt(5)*-1 - sqrt(55)/(1*sqrt(11)*1)))**2. -2684*sqrt(5) + 74541 Simplify (sqrt(2700) - (4 + (-1*sqrt(2700))**2)) + (sqrt(2187) - ((sqrt(243) + 5*sqrt(243))**2 + sqrt(3))) + -2. -11454 + 56*sqr
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 2:47 PM and 5:43 PM? 176 What is 429 minutes before 6:50 AM? 11:41 PM How many minutes are there between 8:33 PM and 11:25 PM? 172 What is 655 minutes after 4:19 PM? 3:14 AM What is 293 minutes after 12:39 AM? 5:32 AM What is 387 minutes before 7:32 PM? 1:05 PM What is 235 minutes before 11:27 AM? 7:32 AM How many minutes are there between 7:09 AM and 8:59 AM? 110 How many minutes are there between 8:45 PM and 7:24 AM? 639 How many minutes are there between 4:21 AM and 4:23 AM? 2 How many minutes are there between 1:52 PM and 11:28 PM? 576 What is 530 minutes after 9:44 PM? 6:34 AM What is 130 minutes before 3:21 PM? 1:11 PM How many minutes are there between 9:15 AM and 5:17 PM? 482 What is 578 minutes after 9:23 AM? 7:01 PM How many minutes are there between 2:01 AM and 9:13 AM? 432 What is 171 minutes after 7:31 AM? 10:22 AM How many minutes are there between 6:31 PM and 7:30 PM? 59 What is 685 minutes after 7:52 PM? 7:17 AM What is 564 minutes after 10:04 AM? 7:28 PM How many minutes are there between 2:09 AM and 2:20 AM? 11 What is 231 minutes after 11:45 AM? 3:36 PM What is 166 minutes before 8:42 PM? 5:56 PM How many minutes are there between 7:22 PM and 6:37 AM? 675 What is 702 minutes before 1:25 AM? 1:43 PM What is 264 minutes after 3:18 PM? 7:42 PM How many minutes are there between 1:29 AM and 1:39 AM? 10 How many minutes are there between 6:45 PM and 2:32 AM? 467 How many minutes are there between 10:32 PM and 2:03 AM? 211 What is 430 minutes after 3:52 AM? 11:02 AM What is 679 minutes after 12:46 PM? 12:05 AM How many minutes are there between 2:32 AM and 2:34 AM? 2 What is 217 minutes before 12:41 AM? 9:04 PM What is 373 minutes after 11:00 PM? 5:13 AM How many minutes are there between 9:24 AM and 9:57 AM? 33 What is 265 minutes after 5:39 PM? 10:04 PM How many minutes are there between 3:44 PM and 9:26 PM? 342 What is 667 minutes before 10:30 AM? 11:23 PM What is 405 minutes after 9:32 AM? 4:17 PM How many minutes are there between 6:09 AM and 9:20 AM? 191 How many minutes are there between 2:52 AM and 11:05 AM? 493 What is 655 minutes before 5:13 AM? 6:18 PM What is 295 minutes before 10:13 AM? 5:18 AM What is 50 minutes before 4:09 AM? 3:19 AM How many minutes are there between 5:22 PM and 11:15 PM? 353 What is 507 minutes before 7:22 PM? 10:55 AM What is 688 minutes after 2:26 AM? 1:54 PM What is 303 minutes before 2:09 PM? 9:06 AM What is 662 minutes after 6:29 AM? 5:31 PM What is 699 minutes after 7:36 PM? 7:15 AM How many minutes are there between 2:09 PM and 10:19 PM? 490 What is 667 minutes before 8:50 AM? 9:43 PM How many minutes are there between 11:23 PM and 7:17 AM? 474 What is 186 minutes after 2:37 PM? 5:43 PM What is 92 minutes after 6:12 PM? 7:44 PM How many minutes are there between 4:56 PM and 7:11 PM? 135 How many minutes are there between 4:10 AM and 11:46 AM? 456 What is 27 minutes before 7:30 PM? 7:03 PM How many minutes are there between 8:50 PM and 10:51 PM? 121 How many minutes are there between 5:38 PM and 3:48 AM? 610 What is 678 minutes after 3:45 PM? 3:03 AM What is 493 minutes before 4:23 PM? 8:10 AM What is 582 minutes before 5:07 AM? 7:25 PM What is 145 minutes after 4:48 AM? 7:13 AM What is 419 minutes before 9:47 AM? 2:48 AM What is 173 minutes before 8:25 PM? 5:32 PM How many minutes are there between 12:14 PM and 4:26 PM? 252 What is 586 minutes before 10:53 AM? 1:07 AM What is 56 minutes before 10:57 PM? 10:01 PM What is 240 minutes after 2:34 PM? 6:34 PM What is 467 minutes after 11:13 AM? 7:00 PM How many minutes are there between 9:56 PM and 3:49 AM? 353 How many minutes are there between 5:29 PM and 4:47 AM? 678 What is 707 minutes before 9:02 AM? 9:15 PM What is 581 minutes after 3:52 PM? 1:33 AM What is 128 minutes before 1:54 PM? 11:46 AM How many minutes are there between 2:32 AM and 3:24 AM? 52 How many minutes are there between 3:04 AM and 5:26 AM? 142 How many minutes are there between 1:19 PM and 3:03 PM? 104 What is 480 minutes before 9:50 AM? 1:50 AM What is 96 minutes after 5:22 AM? 6:58 AM How many minutes are there between 1:06 AM and 2:53 AM? 107 How many minutes are there between 6:51 AM and 9:41 AM? 170 How many minutes are there between 10:05 PM and 2:11 AM? 246 How many minutes are there between 4:42 AM and 9:47 AM? 305 What is 137 minutes after 11:44 PM? 2:01 AM How many minutes are there between 10:50 PM and 2:54 AM? 244 How many minutes are there between 5:42 AM and 2:40 PM? 538 What is 524 minutes after 1:20 PM? 10:04 PM What is 610 minutes after 4:13 AM? 2:23 PM How many minutes are there between 5:31 AM and 10:23 AM? 292 What is 386 minutes after 7:41 PM? 2:07 AM What is 97 minutes after 11:03 AM? 12:40 PM What is 42 minutes before 11:47 AM? 11:05 AM How many minutes are there between 10:00 PM and 2:26 AM? 266 How many minutes are there between 4:52 PM and 6:30 PM? 98 What is 467 minutes before 10:16 AM? 2:29 AM What is 141 minutes after 2:57 PM? 5:18 PM What is 491 minutes after 11:17 PM? 7:28 AM How many minutes are there between 4:31 AM and 2:42 PM? 611 What is 159 minutes before 11:34 PM? 8:55 PM What is 97 minutes after 11:51 AM? 1:28 PM How many minutes are there between 3:39 PM and 7:42 PM? 243 What is 526 minutes before 7:55 PM? 11:09 AM What is 91 minutes before 8:30 AM? 6:59 AM What is 41 minutes after 5:13 AM? 5:54 AM How many minutes are there between 7:43 PM and 1:42 AM? 359 How many minutes are there between 10:52 PM and 5:31 AM? 399 What is 148 minutes after 4:01 PM? 6:29 PM What is 244 minutes before 9:39 AM? 5:35 AM What is 374 minutes after 4:01 PM? 10:15 PM What is 60 minutes before 2:14 PM? 1:14 PM What is 154 minutes before 3:47 AM? 1:13 AM What is 677 minutes before 12:12 PM? 12:55 AM How many minutes are there between 6:33 PM and 8:39 PM? 126 How many minutes are there between 7:53 PM and 5:11 AM? 558 What is 253 minutes before 3:42 PM? 11:29 AM How many minutes are there between 10:45 PM and 5:13 AM? 388 What is 315 minutes before 1:50 AM? 8:35 PM How many minutes are there between 12:00 PM and 9:30 PM? 570 How many minutes are there between 5:46 AM and 9:03 AM? 197 What is 223 minutes after 9:40 PM? 1:23 AM What is 496 minutes before 1:04 AM? 4:48 PM What is 704 minutes after 2:39 AM? 2:23 PM What is 291 minutes before 5:48 AM? 12:57 AM How many minutes are there between 4:30 PM and 6:14 PM? 104 How many minutes are there between 2:37 PM and 3:36 PM? 59 What is 617 minutes after 1:00 AM? 11:17 AM What is 670 minutes after 4:23 AM? 3:33 PM How many minutes are there between 7:40 PM and 8:51 PM? 71 How many minutes are there between 5:21 PM and 4:41 AM? 680 How many minutes are there between 1:28 AM and 4:34 AM? 186 How many minutes are there between 5:16 AM and 10:57 AM? 341 What is 139 minutes after 1:46 AM? 4:05 AM What is 367 minutes after 12:50 PM? 6:57 PM What is 155 minutes after 11:28 PM? 2:03 AM How many minutes are there between 6:19 PM and 2:43 AM? 504 What is 207 minutes before 5:51 PM? 2:24 PM How many minutes are there between 2:26 AM and 10:08 AM? 462 How many minutes are there between 12:52 PM and 5:04 PM? 252 What is 51 minutes before 11:47 AM? 10:56 AM What is 634 minutes after 12:02 AM? 10:36 AM How many minutes are there between 4:36 PM and 4:56 PM? 20 How many minutes are there between 12:36 AM and 1:25 AM? 49 What is 4 minutes after 11:21 PM? 11:25 PM What is 315 minutes before 1:30 PM? 8:15 AM What is 572 minutes after 9:35 AM? 7:07 PM How many minutes are there between 11:59 PM and 8:07 AM? 488 What is 121 minutes after 4:00 AM? 6:01 AM How many minutes are there between 9:22 PM and 7:17 AM? 595 What is 322 minutes before 1:40 PM? 8:18 AM What is 687 minutes after 8:40 AM? 8:07 PM What is 328 minutes before 1:38 PM? 8:10 AM What is 291 minutes after 2:47 PM? 7:38 PM What is 568 minutes after 12:39 AM? 10:07 AM What is 398 minutes after 1:21 AM? 7:59 AM How many minutes are there between 2:35 PM and 11:51 PM? 556 What is 685 minutes before 5:14 AM? 5:49 PM How many minutes are there between 11:08 PM and 4:31 AM? 323 What is 251 minutes after 5:00 PM? 9:11 PM How many minutes are there between 4:54 AM and 4:31 PM? 697 How many minutes are there between 1:35 AM and 7:29 AM? 354 What
{ "pile_set_name": "DM Mathematics" }
58, 406, 574, 768, 994? 1258 What is the next term in -45, -58, -87, -138, -217, -330, -483, -682? -933 What comes next: -202, -206, -212, -220, -230, -242, -256? -272 What is the next term in -9, -14, -21, -30, -41, -54? -69 What comes next: -10695, -21389, -32083, -42777, -53471? -64165 What is the next term in -2, -44, -150, -350, -674? -1152 What is next in -350, -702, -1054, -1406, -1758, -2110? -2462 What is the next term in 26, 43, 60, 77? 94 What is next in 97, 100, 105, 112? 121 What comes next: 110, 195, 268, 323, 354, 355? 320 What comes next: 214, 196, 164, 112, 34, -76, -224? -416 What comes next: 278, 554, 830, 1106, 1382, 1658? 1934 What is next in 10, 22, 34, 46? 58 What is the next term in -6, 18, 42, 66? 90 What is next in 4, 10, 8, -2, -20, -46? -80 What comes next: -1104, -1102, -1102, -1104? -1108 What is next in -626, -617, -606, -593? -578 What is next in 91, 85, 89, 109, 151, 221, 325? 469 What comes next: 6, 143, 378, 717, 1166, 1731, 2418, 3233? 4182 What is next in -24, -14, 10, 54, 124, 226, 366, 550? 784 What is next in 1745, 1755, 1777, 1817, 1881? 1975 What comes next: 105, 88, 55, 0, -83? -200 What comes next: -16, -3, 24, 71, 144? 249 What comes next: 2496, 2492, 2486, 2478? 2468 What is the next term in -404, -401, -398? -395 What is next in -2, -31, -88, -179, -310, -487? -716 What comes next: -2, -18, -34, -50? -66 What is the next term in -14, -30, -50, -74, -102, -134? -170 What is the next term in -84, -75, -66, -57, -48? -39 What comes next: -1386, -2775, -4164? -5553 What comes next: -22, -42, -62, -82? -102 What comes next: 384, 396, 408, 420, 432, 444? 456 What is the next term in -38, -54, -54, -32, 18? 102 What is the next term in -137, -475, -1013, -1751? -2689 What comes next: 188, 257, 328, 401, 476, 553, 632? 713 What comes next: 370, 371, 372? 373 What is next in -103, -4, 169, 422, 761, 1192, 1721? 2354 What is the next term in 914, 3656, 8226, 14624, 22850? 32904 What is the next term in -39, -62, -85, -108, -131, -154? -177 What comes next: -3, 12, 33, 54, 69, 72? 57 What is the next term in 0, -4, -10, -18, -28? -40 What comes next: 128, 245, 368, 503, 656? 833 What comes next: 46, 139, 378, 835, 1582, 2691, 4234, 6283? 8910 What is the next term in -32, -29, -24, -17? -8 What comes next: -917, -1832, -2747, -3662, -4577, -5492? -6407 What is the next term in -188, -171, -140, -89, -12, 97, 244, 435? 676 What is the next term in 18, 40, 82, 150, 250, 388, 570, 802? 1090 What comes next: -28, -51, -78, -109, -144, -183? -226 What comes next: 563, 566, 569, 572, 575? 578 What is the next term in 282, 1115, 2504, 4449, 6950, 10007? 13620 What is the next term in 30, 25, -2, -63, -170, -335, -570? -887 What comes next: -259, -260, -261, -262, -263, -264? -265 What is the next term in 529, 524, 515, 502? 485 What is the next term in -39, 30, 115, 222, 357, 526, 735? 990 What is the next term in 173, 243, 311, 377, 441, 503, 563? 621 What is the next term in -55, -110, -165, -220? -275 What is next in -120, -234, -326, -384, -396, -350, -234, -36? 256 What is the next term in -88, -706, -2380, -5638, -11008, -19018? -30196 What comes next: 1123, 1136, 1137, 1120, 1079, 1008, 901, 752? 555 What is the next term in -104, -87, -42, 43, 180, 381, 658? 1023 What is next in -137, -226, -315, -404, -493? -582 What is the next term in 107, 207, 305, 401, 495? 587 What comes next: 101978, 101977, 101976? 101975 What comes next: 89, 173, 255, 335, 413, 489, 563? 635 What is the next term in 69, 612, 2089, 4968, 9717, 16804? 26697 What is next in 15, 27, 53, 99, 171, 275, 417, 603? 839 What comes next: 315, 310, 305, 300, 295? 290 What comes next: 32, 60, 102, 164, 252? 372 What is the next term in 243, 255, 281, 327, 399, 503? 645 What is next in -68, -73, -82, -95, -112, -133? -158 What is next in 308, 613, 914, 1211? 1504 What comes next: 35, 31, 27, 23, 19? 15 What is next in 2723, 5448, 8171, 10892? 13611 What comes next: 296, 288, 266, 224, 156, 56, -82, -264? -496 What is next in -1, -73, -201, -391, -649, -981, -1393? -1891 What comes next: -1777, -1787, -1809, -1849, -1913, -2007? -2137 What comes next: 190, 383, 576, 769, 962? 1155 What comes next: -16151, -32300, -48449, -64598? -80747 What comes next: -35, -23, -11, 1, 13, 25? 37 What is the next term in 42, 58, 64, 54, 22, -38? -132 What is the next term in 249, 507, 771, 1041, 1317, 1599? 1887 What is the next term in 5, 9, 11, 11, 9, 5, -1? -9 What is the next term in 6, 12, 40, 102, 210, 376, 612? 930 What comes next: 11, 18, 17, -4, -57? -154 What comes next: -663, -1367, -2099, -2853, -3623, -4403, -5187? -5969 What is next in -32, 1, 86, 247, 508, 893? 1426 What is next in 27, 76, 165, 300, 487? 732 What is the next term in 2, 213, 794, 1931, 3810, 6617? 10538 What is the next term in -1361, -1351, -1339, -1325? -1309 What is next in 45, 383, 1295, 3069, 5993, 10355, 16443? 24545 What is next in 1282, 1272, 1250, 1210, 1146, 1052, 922? 750 What is next in 295, 300, 309, 322, 339, 360, 385? 414 What comes next: -189, -125, -73, -39, -29, -49, -105, -203? -349 What comes next: -54, -69, -84? -99 What is the next term in -105, -890, -3029, -7200, -14081, -24350, -38685? -57764 What is next in -634, -633, -632? -631 What is next in 19, 25, 31, 37, 43, 49? 55 What comes next: -62, -101, -140? -179 What is the next term in 134, 168, 202, 236? 270 What is next in -3, -212, -569, -1080, -1751? -2588 What is the next term in -571, -2257, -5067, -9001? -14059 What is next in 0, -61, -228, -555, -1096? -1905 What is the next term in -22, 42, 106, 170? 234 What is the next term in 91, 25, -41? -107 What comes next: -7, -16, -31, -52? -79 What is next in 56, 66, 90, 134, 204, 306, 446, 630? 864 What is the next term in 288, 550, 786, 984, 1132, 1218, 1230? 1156 What is the next term in 749, 1503, 2265, 3035? 3813 What comes next: 221, 218, 213, 206, 197, 186? 173 What comes next: -4, -4, 6, 32, 80, 156? 266 What comes next: 3562, 3555, 3538, 3505, 3450? 3367 What is next in -6, -8, -14, -24? -38 What comes next: -26, -69, -160, -317, -558, -901? -1364 What is next in 152, 135, 120, 107, 96, 87, 80? 75 What is next in 383, 391, 397, 401? 403 What is next in -782, -785, -790, -797, -806? -817 What comes next: 104, 186, 268, 350, 432, 514? 596 What is the next term in 340, 578, 816? 1054 What is next in -15, -47, -75, -93, -95? -75 What is the next term in -93, -67, -3, 117, 311, 597? 993 What is the next term in 7729, 7727, 7725, 7723, 7721, 7719? 7717 What comes next: 37, 52, 85, 142, 229? 352 What comes next: 11, 27, 45, 65? 87 What is next in -2094, -2096, -2098, -2100, -2102? -2104 What comes next: 358, 354, 348, 340, 330, 318, 304? 288 What is the next term in 13235, 13238, 13243, 13250, 13259? 13270 What comes next: -9, -12, -15? -18 What is the next term in 8, 34, 78, 140, 220, 318, 434? 568 What is next in 64, 269, 618, 1117, 1772, 2589, 3574, 4733? 6072 What is the next term in 25, 8, -23, -74, -151, -260? -407 What is the next term in -50, -40, -18, 22, 86, 180, 310, 482? 702 What is next in 969, 1936, 2903, 3870, 4837? 5804 What is next in 11498, 11495, 11490, 11483, 11474, 11463? 11450 What is next in 4891, 4890, 4889? 4888 What comes next: 34, 43, 30, -5, -62, -141? -242 What is next in -244, -505, -770, -1039, -1312? -1589 What comes next: -53, 57, 167, 277, 387, 497? 607 What is the next term in 46, 80, 114, 148, 182? 216 What comes next: 142, 554, 1242, 2206, 3446, 4962? 6754 What is the next term in -397, -393, -387, -379? -369 What comes next: -9, -43, -87, -147, -229, -339, -483, -667? -897 What is the next term in -39, -74, -109, -144? -179 What comes next: -18707, -18708, -18709, -18710, -18711? -18712 What is the next term in 63, 95, 149, 225, 323? 443 What comes next: 608, 621, 636, 653, 672, 693? 716 What is next in -37, -140, -303, -520, -785, -1092, -1435, -1808? -2205 What is the next term in -94, -91, -88? -85 What is the next term in -7779, -15556, -23333? -31110 What comes next: -70, -178, -320, -496, -706, -950, -1228? -1540 What comes next: -4, 23, 118, 317, 656, 1171, 1898? 2873 What comes next: 65, 134, 203, 272, 341? 410 What comes next: -390, -798, -1206? -1614 What comes next: 352, 350, 352, 358? 368 What is the
{ "pile_set_name": "DM Mathematics" }
35) Suppose 10*s**4 + 45375*s**3 + 22650*s**2 - 158825*s - 136110 = 0. What is s? -4537, -3/2, -1, 2 Factor -5*n**3 + 245*n**2 - 1960*n - 4940. -5*(n - 38)*(n - 13)*(n + 2) Find y, given that -2*y**5/3 - 4*y**4/3 + 52*y**3/3 + 104*y**2/3 - 50*y/3 - 100/3 = 0. -5, -2, -1, 1, 5 Let -3*p**2/5 + 65913*p + 329568/5 = 0. Calculate p. -1, 109856 Let 2*y**2 - 2100*y - 34112 = 0. Calculate y. -16, 1066 Find p such that 23513*p**2 + 23512*p - 1 = 0. -1, 1/23513 Solve -52*u**4 + 2300*u**3 - 20380*u**2 + 37140*u - 19008 = 0. 1, 16/13, 9, 33 Suppose -3*s**2 - 140766*s + 140769 = 0. What is s? -46923, 1 Determine q so that 476*q**2 + 4115*q/3 + 100/3 = 0. -20/7, -5/204 Find a such that -a**2/4 - 1046*a - 2091 = 0. -4182, -2 What is o in -2*o**4/9 - 10*o**3/9 + 22*o**2 - 158*o/9 - 364/9 = 0? -13, -1, 2, 7 Determine g, given that -5*g**3 - 38895*g**2 - 1858320*g - 22265280 = 0. -7731, -24 Factor -l**2 + 7614*l - 7613. -(l - 7613)*(l - 1) Factor 7*r**3/4 - 446*r**2 - 512*r. r*(r - 256)*(7*r + 8)/4 Suppose -h**3 - 85*h**2 - 2387*h - 22103 = 0. Calculate h. -31, -23 Find p, given that -100*p**3 - 3360*p**2 + 30652*p - 27192 = 0. -206/5, 1, 33/5 Find z, given that -5*z**4 + 495*z**3 - 15120*z**2 + 157120*z - 522240 = 0. 8, 32, 51 Factor n**3 - 773*n**2 - 1558*n + 6200. (n - 775)*(n - 2)*(n + 4) Solve -359*v**5 + 5011*v**4/2 + 40313*v**3/2 + 17652*v**2 + 360*v = 0 for v. -4, -1, -15/718, 0, 12 Suppose 3*n**2 + 2076*n - 21060 = 0. What is n? -702, 10 What is a in 2*a**4 - 4850*a**3 + 19370*a**2 - 4830*a - 29052 = 0? -1, 2, 3, 2421 Factor 2*x**3/11 - 16*x**2 + 672*x/11. 2*x*(x - 84)*(x - 4)/11 Solve -4*i**3/5 - 18328*i**2/5 - 36644*i/5 - 3664 = 0. -4580, -1 What is t in -2*t**3/3 - 5964*t**2 + 2*t/3 + 5964 = 0? -8946, -1, 1 Solve -3*q**4/2 + 3517*q**3 - 46787*q**2/2 + 31568*q - 11690 = 0. 2/3, 1, 5, 2338 Determine z, given that 196*z**3 + 448*z**2 + 284*z + 32 = 0. -8/7, -1, -1/7 Determine m so that -10*m**3/11 - 5591*m**2/11 - 17257*m/11 - 11676/11 = 0. -556, -21/10, -1 Determine h, given that 3*h**2/4 + 5733*h/2 + 11454 = 0. -3818, -4 Factor 130696*u**3 + 407836*u**2 + 335392*u + 26508. 4*(31*u + 47)**2*(34*u + 3) Factor u**2/9 - 97630*u/9 - 21696. (u - 97632)*(u + 2)/9 Factor -2*l**3 + 186*l**2 + 157584*l + 12964232. -2*(l - 361)*(l + 134)**2 Factor 2*b**2 - 30214*b + 90624. 2*(b - 15104)*(b - 3) What is j in 20*j**5/3 - 2278*j**4/3 + 10838*j**3/3 - 17092*j**2/3 + 9608*j/3 - 1744/3 = 0? 2/5, 1/2, 2, 109 Suppose 8*s**2/9 + 15268*s/9 + 38120/9 = 0. Calculate s. -1906, -5/2 What is g in 2*g**3 + 8774*g**2 - 140768*g + 563584 = 0? -4403, 8 Factor g**5 - 231*g**4 - 92662*g**3 - 8380478*g**2 - 239523339*g - 231235291. (g - 469)*(g + 1)*(g + 79)**3 Factor 12*q**4 - 7700*q**3 + 1233924*q**2 + 412164*q. 4*q*(q - 321)**2*(3*q + 1) Let d**5 + 416*d**4 - 18*d**3 - 7488*d**2 + 81*d + 33696 = 0. What is d? -416, -3, 3 Let 2*h**4/7 + 180*h**3/7 + 2176*h**2/7 + 3648*h/7 = 0. Calculate h. -76, -12, -2, 0 Solve 5*p**4 - 2385*p**3 + 62715*p**2 + 65105*p = 0 for p. -1, 0, 29, 449 Factor -2*w**5/3 - 268*w**4/3 + 542*w**3/3 - 272*w**2/3. -2*w**2*(w - 1)**2*(w + 136)/3 Determine a so that 2*a**5/13 - 612*a**4/13 + 45248*a**3/13 + 612*a**2/13 - 45250*a/13 = 0. -1, 0, 1, 125, 181 Suppose 20*q**3 + 1406*q**2 - 1000*q - 426 = 0. What is q? -71, -3/10, 1 Let 2*l**5 + 106*l**4 + 294*l**3 - 4834*l**2 - 1208*l + 17640 = 0. Calculate l. -49, -9, -2, 2, 5 What is p in 3*p**2/5 - 10182*p/5 - 20376/5 = 0? -2, 3396 Find q such that -2*q**5 - 66*q**4 - 620*q**3 - 1260*q**2 + 622*q + 1326 = 0. -17, -13, -3, -1, 1 Factor -50187*y**2/2 + 50181*y/2 + 3. -3*(y - 1)*(16729*y + 2)/2 Determine c so that 21*c**5 + 235*c**4 - 296*c**3 - 1036*c**2 + 848*c + 384 = 0. -12, -2, -1/3, 8/7, 2 Let 12*r**5 - 81*r**4 - 1146*r**3 + 8100*r**2 - 5400*r = 0. Calculate r. -10, 0, 3/4, 6, 10 Suppose -3*j**2/8 + 68427*j/8 + 34215/4 = 0. What is j? -1, 22810 What is j in -j**5/5 + 24*j**4/5 + 54*j**3 + 172*j**2 + 1011*j/5 + 396/5 = 0? -4, -3, -1, 33 Determine d so that 5*d**4 + 8535*d**3 - 60*d**2 - 102340*d + 136560 = 0. -1707, -4, 2 Factor 4*n**4 - 4112*n**3 - 41436*n**2 - 87192*n. 4*n*(n - 1038)*(n + 3)*(n + 7) Let 12*o**4 + 3248*o**3 + 213960*o**2 - 835152*o - 5780852 = 0. What is o? -137, -11/3, 7 Suppose 4*j**2 - 2288*j - 191216 = 0. Calculate j. -74, 646 Factor -s**2/4 + 3747*s/4 + 4690. -(s - 3752)*(s + 5)/4 Find y such that -4*y**5/3 - 256*y**4/3 + 1652*y**3/3 - 1984*y**2/3 - 1648*y/3 + 2240/3 = 0. -70, -1, 1, 2, 4 Suppose 3*z**3 + 3668*z**2 - 4900*z - 4896 = 0. What is z? -1224, -2/3, 2 Let -252*v**3 + 97584*v**2 - 23212*v - 3096 = 0. What is v? -2/21, 1/3, 387 Factor r**3/2 - 353*r**2/2 - 1997*r - 1820. (r - 364)*(r + 1)*(r + 10)/2 Solve 5*m**5 - 230*m**4 - 725*m**3 - 490*m**2 = 0 for m. -2, -1, 0, 49 Let r**4/2 - 35*r**3 - 222*r**2 - 452*r - 304 = 0. What is r? -2, 76 Find c such that 2*c**3/13 - 1194*c**2 + 170520*c/13 - 155000/13 = 0. 1, 10, 7750 Factor 4*i**3/3 - 244*i**2 + 8156*i/3 + 2964. 4*(i - 171)*(i - 13)*(i + 1)/3 Factor 9207*o**2 - 10167*o - 70. (9*o - 10)*(1023*o + 7) Factor o**2/3 + 35*o/3 - 5662. (o - 114)*(o + 149)/3 Factor h**2/5 - 11649*h/5 - 34956/5. (h - 11652)*(h + 3)/5 Suppose -j**2/3 - 53*j + 160/3 = 0. Calculate j. -160, 1 Find k such that -k**3/4 + 136*k**2 - 19028*k + 143648 = 0. 8, 268 Factor 6*i**3 - 113*i**2/4 - 265*i/4 + 57/2. (i + 2)*(3*i - 19)*(8*i - 3)/4 Suppose -2*h**3/3 + 1378*h**2 - 20632*h/3 + 8248 = 0. What is h? 2, 3, 2062 Factor -5*k**3 - 2835*k**2 + 20030*k - 34440. -5*(k - 4)*(k - 3)*(k + 574) Let 2*m**5 - 30*m**4 - 2684*m**3 - 7728*m**2 = 0. What is m? -28, -3, 0, 46 Factor 2*g**4 + 802*g**3 + 13182*g**2 + 48222*g - 62208. 2*(g - 1)*(g + 9)**2*(g + 384) What is l in -4*l**2 - 18792*l + 188320 = 0? -4708, 10 Solve -18*d**4 + 1777*d**3 + 6003*d**2 + 1530*d = 0 for d. -3, -5/18, 0, 102 Solve -2*h**2 - 1324652*h - 219337865138 = 0. -331163 Factor 2*g**3/5 + 522*g**2/5 + 206*g - 1554/5. 2*(g - 1)*(g + 3)*(g + 259)/5 Determine h so that 3*h**3/5 - 51*h**2/5 - 10947*h/5 + 65559 = 0. -65, 41 Factor b**2 + 447*b/11 + 850/11. (b + 2)*(11*b + 425)/11 Let -b**5 - 1506*b**4 + 24288*b**3 - 97408*b**2 = 0. Calculate b. -1522, 0, 8 Factor 5*i**4 + 860*i**3 + 53780*i**2 + 1444800*i + 14112000. 5*(i + 30)**2*(i + 56)**2 Factor 2*z**2/7 + 820*z/7 - 47022/7. 2*(z - 51)*(z + 461)/7 Factor 50*g**4/3 - 130630*g**3/3 + 26122*g**2 - 78362*g/15 + 5224/15. 2*(g - 2612)*(5*g - 1)**3/15 Find n, given that -9*n**4 - 403206*n**3 - 268791*n**2 + 403206*n + 268800 = 0. -44800, -1, -2/3, 1 Factor 4*f**2 - 2748*f + 10928. 4*(f - 683)*(f - 4) Determine a, given that -4*a**4/5 + 1232*a**3/5 + 3724*a**2/5 + 2488*a/5 = 0. -2, -1, 0, 311 Determine v so that -2*v**3/13 - 6366*v**2/13 - 5049792*v/13 + 25408360/13 = 0. -1594, 5 Solve 2*t**3 - 7554*t**2 + 7144182*t - 21364614 = 0. 3, 1887 Factor v**5/6 - 149*v**4/6 - 153*v**3 - 926*v**2/3 - 620*v/3. v*(v - 155)*(v + 2)**3/6 Solve 3*q**5/4 - 21*q**4/2 - 219*q**3/4 + 21*q**2/2 + 54*q = 0. -4, -1, 0, 1, 18 Find a such that 5*a**5 + 5*a**4 - 260*a**3 + 220*a**2 + 480*a = 0. -8, -1, 0, 2, 6 Let -4*i**5 - 14152*i**4 + 198640*i**3 - 965624*i**2 + 1846740*i - 1065600 = 0. Calculate i. -3552, 1, 3, 5 Factor 2*c**3/15 - 25028*c**2/15 + 78300098*c/15. 2*c*(c - 6257)**2/15 Determine l so that -52*l**3 - 404*l**2 - 600*l = 0. -75/13, -2, 0 Find g such that 1805*g**4 - 88255*g**3 + 77335*g**2 + 8875*g + 240 = 0. -1/19, 1, 48 Determine f, given that 6*f**5/5 - 12322*f**4/5 + 1636*f**3 + 65668*f**2/5 + 57478*f/5 + 12318/5 = 0. -1, -1/3, 3, 2053 Solve 2*r**4/11 + 11778*r**3/11 + 23522*r**2/11 - 153042*r/11 + 117740/11 = 0. -5887, -5, 1, 2 Factor -3*x**5 + 51*x**4 - 264*x**3 + 216*x**2 + 1296*x - 1296. -3*(x - 6)**3*(x - 1)*(x + 2) Factor 2*z**2/21 + 186400*z/21 + 186398/21. 2*(z + 1)*(z + 93199)/21 Determine u so that -20*u**4 + 294485*u**3 - 662520*u**2 + 441665*u - 73610 = 0. 1/4, 1, 14722 Suppose 2*b**4/7 + 439444*b**3 + 1577072379240*b**2/7 + 269512732866582900*b/7 - 269514309942038250/7 = 0. Calculate b. -512685, 1 Factor -4*m**3 - 424*m**2 + 29200*m - 56672. -4*(m - 46)*(m - 2)*(m + 154) Factor -2*t**3/5 + 466*t**2 + 2340*t. -2*t*(t - 1170)*(t + 5)/5 Factor -z**3/3 + 25*z**2/3 + 494*z/3. -z*(z - 38)*(z + 13)/3 Factor 5*o**3 - 83905*o**2 - 5*o + 83905. 5*(o - 16781)*(o - 1
{ "pile_set_name": "DM Mathematics" }
5). Let q be (-2)/3 + 306/p. Solve 7*v = q*v + 2 for v. 1 Suppose -13 = -2*t - 1. Let q(k) = 2*k**2 - 15*k + 7. Let l be q(8). Solve -t*v + v = -l for v. 3 Let k(t) = t**2 + 5*t - 3. Let z be (-1)/(3/(21 + -3)). Let f be k(z). Let a be 6*((-10)/4 + f). Solve a*w = w for w. 0 Suppose -2*p - 37 = -2*l - 9, 4*l = 5*p + 61. Let g be (0 - 2) + (-3 - -12). Suppose g*r - 2*r = 3*d + 26, -5*d - 22 = -3*r. Solve -r*m + l*m + 5 = 0 for m. -1 Let f be (3/9)/(2/24). Suppose -2*l = i - 3*l, -f*i = 5*l - 18. Solve -b = -0*b + i for b. -2 Let g be 0/(-3 + 9 - 5). Solve g*n = -7*n + 35 for n. 5 Let g be (-9 - (10 + -15))/(-1). Solve 23 = g*c + 31 for c. -2 Let f = 634 - 626. Solve -20 = -f*o + 4*o for o. 5 Let l(j) = -j**2 - 3*j + 7. Let n(t) = t**2 + 7*t - 14. Let v(p) = -5*l(p) - 3*n(p). Let s be v(2). Solve w + 2 = s for w. 1 Let p = 1 - -2. Suppose 2*i = -2*h + 10 + 2, 26 = 5*i + p*h. Let n be i*((-21)/12 + 3). Solve f = n*f + 12 for f. -3 Let l be -2*((-36)/8 - -2). Suppose -2*d - 12 = 3*d - 3*n, 0 = -l*d - 2*n + 8. Suppose d = -o - 4*t + 4, -2*o + 0 - 1 = -t. Solve -10 = -5*j - o*j for j. 2 Let s = 1452 - 1452. Solve s = -33*i + 38*i + 20 for i. -4 Suppose -11*l - 10 + 241 = 0. Suppose -5*j + 4 = -l. Solve j*f + 17 = -8 for f. -5 Let b(u) = -12*u - 66. Let j be b(-7). Solve -j = s + 5*s for s. -3 Suppose -w - 4 = 0, -4*k + 12 = -2*k + w. Solve -5*x - k = -3*x for x. -4 Suppose -3*d + 3 - 15 = -4*z, -2*z = -5*d - 20. Solve z = -10*p + 31 + 19 for p. 5 Suppose -3*b + 2*f + 0*f + 44 = 0, 4*f + 28 = b. Suppose -3*h - b = w, -2*w - h - 2 = -w. Solve -2*a + w*a = -5 for a. -5 Let b(i) = -3*i**2 + 20*i + 9. Let p be b(7). Suppose -p*l = -6*l + 12. Solve 3 - 18 = -l*z for z. 5 Suppose 5*k - 213 = -73. Solve -k = 15*v + 17 for v. -3 Let t be 170/50 - (-2)/(-5). Suppose 35 = 5*g - 10. Let r = g - 9. Solve -f - t*f = r for f. 0 Let f be 2/(-10) + ((-768)/40)/(-1). Solve 10*j - f = 21 for j. 4 Suppose 4*z + 57 = 4*b - 99, -4*z + 159 = 5*b. Let d be (-4)/(-14) - (-165)/b. Solve -5*r + d = -0 for r. 1 Let h = 0 - 1. Let k be (-19 + 6)*(0 - h). Let x = k - -18. Solve 0*o = x*o for o. 0 Suppose 5*q + 0*q = 10. Suppose -q*p = 2*d + 2, -2*d - 3*d - 2*p = 5. Let h = 1 + d. Solve h = 4*j - 2*j for j. 0 Let q(u) = -2*u**2 - 18*u + 140. Let f be q(-14). Solve f = -b - 10 + 10 for b. 0 Let c(r) = -11*r**2 + 3*r + 24. Let o = -5 + 10. Let g(f) = 7*f**2 - 2*f - 16. Let n(l) = o*c(l) + 8*g(l). Let j be n(-4). Solve -5*u + j = -u for u. 3 Let h = 109 + -49. Suppose x - h = -3*x. Solve 6*u = u - x for u. -3 Let h(s) = -8*s - 30. Let c(n) = 8*n + 29. Let k(v) = 5*c(v) + 6*h(v). Let q be k(-5). Solve 0 = -b - 0 + q for b. 5 Suppose i - 2 = 3. Suppose -21*j - 38 = -143. Let f = i - j. Solve t + 3*t = f for t. 0 Let i(b) = 34*b - 336. Let k be i(10). Solve k*q = 10*q - 30 for q. 5 Let n be -26 + 6 + -4 + -1. Let t = n - -28. Solve 0*c - t = -c for c. 3 Suppose -1426 = -145*l + 99*l. Solve -47 + l = -4*d for d. 4 Suppose -366*k + 356*k = -120. Solve t + k = -3*t for t. -3 Let p be (12 - (-5)/(-5)) + -1. Solve -p = -4*w + 6 for w. 4 Let t be -1*(-4)/(-16)*-164. Let r = 43 - t. Solve a + 3 = -r for a. -5 Let u = -126 - -126. Suppose x + u*x = -p, -4 = -p + x. Solve 0 = -p*f + 6*f for f. 0 Suppose -2*x = -4*x. Let q = 27 + -16. Let j = q + -1. Solve -j = -x*b - 2*b for b. 5 Let c(i) = i + 10. Let o be c(14). Suppose 6 = -22*t + o*t. Solve t*y = -2*y for y. 0 Let n(p) = p**2 - 1. Let o be n(2). Suppose -3*z - 5*s = -37, 0*z - 2*s + 26 = 4*z. Suppose -2*f + 15 = o*t, -z*f + f - 4*t = -25. Solve 1 = 4*r - f for r. 4 Let v be 7*(-3 - 27/(-21)). Suppose -4*d - 6 + 38 = 0. Let n be v/((60/d)/(-5)). Solve n - 3 = -b for b. -5 Let h = 154 - 220. Let t be h/(-15) - 4/10. Solve 0*f = -t*f + 12 for f. 3 Suppose 34 = 3*v - 8. Let o be 568/14 - (-6)/v. Suppose -n = -5*i + o, -1 = 2*n + 1. Solve i*u = 3*u - 20 for u. -4 Let s(j) = -9*j - j**2 + 52 - 22 - 14 - 17. Let r be s(-8). Solve -r*t + 2*t + 20 = 0 for t. 4 Suppose 390*a - 383*a - 35 = 0. Solve -a*l + 8 = -7 for l. 3 Suppose -8 = -2*g, 0 = -a + 5*g - 4 - 8. Suppose -3*b + 47 = -2*s, -b - 41 = 2*s + 2*b. Let n = s + 29. Solve 0 = 5*q + a + n for q. -3 Let d be ((-1)/((-4)/(-16)))/(-2). Suppose -p = -w - d, -2*w = -3*w - 3*p + 18. Suppose 0 = -5*b + 38 - 13. Solve -w*g + 8 = -b*g for g. -4 Suppose 32*u - 57 - 7 = 0. Solve -6 = -0*x - u*x for x. 3 Let o = -88 + 153. Let i be o/26 + (-2)/(-4). Let g = -1 - -1. Solve g*b = -i*b - 15 for b. -5 Let x(g) = -7*g - 7. Let a be x(-2). Let v = -19 + 28. Solve 4*u + v + a = 0 for u. -4 Let o = 1174 - 1161. Solve 18 = -o*c + 83 for c. 5 Let i = 108 + -88. Let s = i + -12. Solve -3*h + h = -s for h. 4 Let r(p) = -6*p + 8. Let j(u) = 4*u - 5. Let i(a) = -8*j(a) - 5*r(a). Let y be i(0). Solve y = -0*n - 3*n - 15 for n. -5 Suppose 20 = 4*r + 4*o, 5*o + 7 = 37*r - 34*r. Solve 0 = r*h + 5 + 3 for h. -2 Suppose 5*l = l + 52. Suppose 17*g - 36 = l*g. Solve 0*j + 3*j - g = 0 for j. 3 Let t = -11 + -1. Let d be 4*(-3)/t + 2. Suppose d*z = z. Solve 8 = 2*j - z*j for j. 4 Let w = -123 - -123. Suppose 4*c + 2*t - 10 = 2*c, -5*t - 7 = -3*c. Solve w = -f - c - 1 for f. -5 Let l = -4 + 4. Suppose n = 5, -4*o + 4*n - 73 = -n. Let c = -7 - o. Solve -c*h = -l*h for h. 0 Let q(f) = f**3 + 13*f**2 - 16*f - 26. Let n = -13 + -1. Let k be q(n). Solve 2 = -k*x - 0*x for x. -1 Suppose 7*v + 5 + 247 = 0. Let b = v + 46. Solve -5*h - b = -35 for h. 5 Let l = -119 + 122. Solve -l*y = 2*y + 5 for y. -1 Suppose w - 14 = -3*g - g, -3*w + 3*g - 3 = 0. Suppose w*v - 1 = 1. Let k be 33/9 + ((-42)/9 - -5). Solve v = k*c - 7 for c. 2 Let i(h) = -h**3 - 6*h**2 - 6*h - 3. Let o be -5*(-2)/(-4)*2. Let g be i(o). Suppose -7 = 2*u - 1, g*u + 18 = 3*f. Solve f*d = -0*d + 12 for d. 3 Suppose -4*x + 5*l - 2 = -0*x, -x - 4*l + 10 = 0. Suppose -x*u + w + 2*w = -4, 0 = -4*w. Solve -2 = -u*b - 0*b for b. 1 Suppose 2*i + 20 = 3*f - 0*f, 20 = -5*i. Let l be f + -1 + -2 + 1. Solve -3*n - 1 = -l*n for n. -1 Let i be (-1)/3 + (-1)/(-3). Suppose -3*y - 2*r + 4 = 0, 49*y - 4*r - 12 = 50*y. Suppose 15 = 3*v + 4*s - 45, 0 = 2*v - 5*s - 63. Solve y*t + 8 - v = i for t. 4 Let r be (-53)/(-10) + (-315)/1050. Solve -r*a + 13 = 3 for a. 2 Let m(z) = -4*z + 32. Let x be m(9). Let n be -4 + x*(-4 + 3). Let j(q) = q**3 + q**2 + 6. Let v be j(0). Solve n = -v*b + b - 25 for b. -5 Suppose 3*o + 9 = 3*r, -3*o + 5*r - 2 = -1. Let t(b) = 3*b + 24. Let v be t(o). Solve 5*z + 2 = -v for z. -1 Let t = 1 + 12. Let l = 13 - t. Suppose l = -5*v - v + 24. Solve -5*u + 6 + v = 0 for u. 2 Suppose -a - 2 = -o, -a - 111 = -118. Let d be (-22)/(-8) - 1/(-4). Solve -d*l + o = -0*l for l. 3 Let r be (-14 + -9)/(-2 + 1). Solve -r + 10 = 13*v for v. -1 Suppose 4*b + 4 = -i, 3*b - 4 = b + i. Let n = b + 3. Solve -7*w = -n*w - 12 for w. 3 Let f(z) = z**2 - 1. Let x(v) be the first derivative of -4*v**3/3 - v**2/2 + 3*v + 3. Let p(w) = -3*f(w) - x(w). Let d be p(-1). Solve 6*a - a + 5 = d for a. -1 Let v = 20 - 35. Let r be 2/6 + (-220)/v. Solve -r = -5*a + 10 for a. 5 Suppose 3*c - 7 = 164. Suppose 5*z - 3 = c. Solve x + z = -3*x for x. -3 Let u = -100 - -140. Solve -u*j + 37*j - 12 = 0 for j. -4 Let w(p) = p**2 - p. Let f be w(0). Suppose 2*y + f*g + 2*g = 0, 3*g = -4*y + 1. Let m be -3 + y + (-99)/(-9). Solve c - 4*c = m for c. -3 Let w = 56 - 50. Solve -w*b + 0*b = 0 for b. 0 Suppose -3*m - 130 = -29*m. Solve 6*k = -m*k - 11 for k. -1 Let r = -1 + 2. Suppose 6*s - 2375 = -2309. Solve 5*l = -s + r for l. -2 Let d(i) = -i**3 - 6*i**2 - 5*i + 6. Let g be d(-5). Suppose -s = 2*s - 48. Let z be 3/(-2)*s/(-6). Solve -5*f + z + g = 0 for f. 2 Suppose 2*a + 4*h = -2, -7 = a - h - 21. Solve a*t + 2 = 7*t for t. -1 Let d(k) = 6*k**2 + k - 1. Let x be d(-1). Suppose -30 + 15 = -5*s - 4*o, 4*s + o = 12. Solve -x*m + s = -1 for m. 1 Suppose 18*x - 6*x = 45*x + 104*x. Let l be 4/(-6)*-3*1. Solve x = -i + l - 0 for i. 2 Let i(o) = o**2 + 10*o + 20. Let b be i(-9). Solve -15 = 8*m - b*m for m. 5 Let n be (-7)/2*((-153)/(-63) - 11). Solve -19 = -11*l - n for l. -1 Let p(h) = -h**3 + 5*h**2 + 27*h - 4. Let t be p(8). Solve 8*j + t = 52 for j. 4 Let n be (2*6/(-7))/(1/(-7)). Suppose 2*c + l = 8, 3*c - 5*l = -l + n. Solve o = -c*o for o. 0 Let r = -728 + 734. Solve 2 = r*k - 5*k for k. 2 Let b(n) = n**2 + n
{ "pile_set_name": "DM Mathematics" }
96 (b) 1 (c) -0.5 (d) 2/3 (e) 5 e What is the biggest value in 2, 71, -50/217? 71 Which is the third biggest value? (a) 3/7 (b) -24653 (c) -1/6 b Which is the second biggest value? (a) 0 (b) -0.09 (c) -19 (d) -10 (e) 4 a Which is the third biggest value? (a) -5.013 (b) 2 (c) 0.5 a Which is the second biggest value? (a) 0.2 (b) 0.0755 (c) 3 (d) 2 (e) -13 d Which is the third smallest value? (a) 0 (b) 1/98 (c) -1 b Which is the fifth biggest value? (a) -12 (b) 0.058 (c) 1/6 (d) 0.5 (e) -443/4 e Which is the second biggest value? (a) 3 (b) 0 (c) 2/9 (d) -0.12 (e) -4 (f) -0.2 c Which is the fifth smallest value? (a) -9/25 (b) -4 (c) -3 (d) -4/13 (e) -38 (f) -0.5 a What is the third biggest value in 3, -0.3, 0.176, -2, 28, -2/3? 0.176 Which is the biggest value? (a) 478 (b) 0 (c) -0.177 a Which is the second biggest value? (a) -47083 (b) 0.3 (c) 0.02 c Which is the fourth biggest value? (a) -1/799 (b) 320 (c) 1 (d) -1/8 d Which is the fourth smallest value? (a) -12323 (b) 2/7 (c) -2 (d) -1 b What is the fourth smallest value in 4, -239, -41, 5? 5 What is the fourth smallest value in 5/3, -6, 0.5, -39? 5/3 Which is the biggest value? (a) 0.3 (b) 2/11 (c) 35048 (d) -4 c What is the biggest value in 1/15, 23, 90? 90 What is the second biggest value in 4, 3, -2, 0.0572, 0.1? 3 What is the smallest value in 15.09, 0.3, 0.4, -5, 3/7, -0.5? -5 What is the third biggest value in 0, 0.3, 111860, -2? 0 What is the second biggest value in 0.4, -14/9, -8, 5/7? 0.4 What is the third biggest value in -3/7, 2/5, 0.7, -78, -3? -3/7 What is the second biggest value in 1/6, 0.62, -7, 2271? 0.62 What is the third smallest value in -1/7, 15/19, -5/108, -1/9? -5/108 Which is the third biggest value? (a) -0.04 (b) -3 (c) -1026 (d) -4 (e) 0.4 b Which is the third smallest value? (a) -7.6 (b) -1/6 (c) 3 (d) -5 b What is the fourth biggest value in 5, 3/17, -0.1, 328? -0.1 Which is the smallest value? (a) -7.9 (b) 1/7 (c) -9.23 (d) 5 c What is the fourth smallest value in -76, 0.2, 2, -41/4, -0.07? 0.2 Which is the biggest value? (a) -2 (b) -11 (c) -1270 a What is the biggest value in -1/2, 0.006, 3, 15, 0.1, -1? 15 What is the smallest value in 1/7, 2/11, -0.4, -14, 0.4, 109? -14 Which is the second smallest value? (a) -2/2711 (b) -4 (c) -1207 b What is the third smallest value in 3/260, 5, 1/3, 0.3? 1/3 Which is the fourth biggest value? (a) 1/9 (b) -162748 (c) 5 (d) -2/3 b What is the second biggest value in -0.12, 1000, -2? -0.12 What is the second biggest value in -0.4, -5, 0.3, -890? -0.4 Which is the smallest value? (a) -1 (b) -0.2 (c) -5 (d) 12 (e) 92 c Which is the second biggest value? (a) -3/7 (b) -1080/13 (c) 13 (d) 3 d Which is the second smallest value? (a) 2 (b) 11 (c) -387 a Which is the third smallest value? (a) 29 (b) -0.05 (c) -0.57 a What is the third biggest value in 5, 3, -0.063, -127? -0.063 What is the second biggest value in -0.4835, 11, 0.1, 0.5? 0.5 Which is the second biggest value? (a) 0.2 (b) -324 (c) 449 (d) -4/7 a What is the fourth smallest value in -55/23, -1, -0.4, -13, 2, 4? -0.4 What is the second biggest value in 2.475, 50, 2? 2.475 Which is the second biggest value? (a) 2 (b) 1/4 (c) -4/999 b Which is the smallest value? (a) 1/15 (b) -1 (c) -0.5 (d) 1/9 (e) -10 (f) -2 e Which is the biggest value? (a) 5 (b) 0.09 (c) 0 (d) 4.5 (e) 0.6 a What is the sixth biggest value in -4/5, -2, -6/11, 1/7, 1393, 3? -2 Which is the fourth biggest value? (a) 2 (b) -2/7 (c) -10201 (d) -1/7 c What is the second smallest value in 38, 16, -5, 3, 1? 1 What is the biggest value in 4/7, -5/698, -5? 4/7 What is the smallest value in -35/11, 110/9, -2, -4? -4 Which is the third biggest value? (a) -1 (b) -179/3 (c) 3 b What is the smallest value in 23, -1, 4, -0.3, 78, 3? -1 What is the third biggest value in -7, -3, -5.1982? -7 Which is the second biggest value? (a) 29 (b) 0.0143 (c) -2/13 b Which is the smallest value? (a) 2 (b) -261 (c) -0.5 (d) 5 (e) 19 (f) 0.1 b What is the biggest value in 276, -0.4, -8, 2/17? 276 Which is the biggest value? (a) 23 (b) -1.9 (c) -0.06 a What is the second smallest value in -357/5, -4, -106? -357/5 Which is the second biggest value? (a) 38/85 (b) 9 (c) 4 c What is the fourth biggest value in 6, 271, -3, 3/5, 0? 0 What is the third smallest value in 0.915, 3, 1, 0.3, 3/7? 0.915 What is the third smallest value in -344, 5, 0.2, 1, -4? 0.2 Which is the second biggest value? (a) -8098 (b) 2/11 (c) -3 c Which is the third biggest value? (a) 74/5 (b) -2.45 (c) -4 (d) -5 c Which is the third smallest value? (a) -2/19 (b) -42 (c) -3 (d) 1/5 (e) 60 a What is the second biggest value in 4/7, -4/11, 0.02, 2, -2/17? 4/7 What is the third smallest value in -3/2, 4, 31, -0.3, -0.19, 0.08? -0.19 Which is the smallest value? (a) -0.3 (b) -0.4 (c) -2/9 (d) -1/7 (e) 7779 b Which is the third smallest value? (a) 13 (b) -4 (c) -43 (d) -39 b What is the second smallest value in -1/3, 0.5, 74/21, 5? 0.5 What is the third smallest value in -18.4, 1/468, 5? 5 What is the third biggest value in -2.468, -3, -8? -8 Which is the smallest value? (a) 4/143 (b) 144 (c) -3 c What is the second biggest value in -4, 9, 0.033, 0.2, 1? 1 What is the second biggest value in -81, 4, 83.3? 4 Which is the fourth biggest value? (a) -146 (b) 28 (c) 2 (d) -3 (e) -4 e Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.06 (d) -0.02 (e) 3/2 a Which is the biggest value? (a) -2.5 (b) 5 (c) 28 c What is the biggest value in 5, -2/5, -434132/9? 5 Which is the biggest value? (a) 0.5 (b) -0.5 (c) -1/4 (d) -4 (e) -50 (f) 2 f Which is the biggest value? (a) 25 (b) 5 (c) -5 (d) 3 (e) -0.21 a What is the second biggest value in -32, -2/63, -24? -24 Which is the third biggest value? (a) 1 (b) -7 (c) 1/5 (d) -2 (e) -0.2 e What is the fifth biggest value in -44, 2, 4, -3/8, -39? -44 Which is the fourth smallest value? (a) -0.3 (b) -1 (c) -2.8 (d) 131 d What is the third biggest value in 0, -120, -19? -120 What is the fifth biggest value in -4, -23, 1/8, -42, -0.5, 0.046? -23 Which is the third smallest value? (a) -0.2 (b) 2 (c) -0.1 (d) -16768 c What is the second smallest value in 67, 103.4, 5, -2, 4? 4 Which is the third biggest value? (a) 0.3 (b) 410 (c) 4/269 c Which is the second biggest value? (a) -6.09 (b) -33/5 (c) 3/10 a What is the second biggest value in 57/40, 1/4, -2? 1/4 What is the second biggest value in 5, 208, -4, -5, 0.08, 3? 5 Which is the fourth biggest value? (a) 0 (b) -0.3 (c) 18 (d) 5 (e) 1/1164 a What is the second biggest value in -40, 23/6, -3/64? -3/64 What is the third biggest value in 9, 1, 0.00091? 0.00091 Which is the smallest value? (a) 109.91 (b) -3/2 (c) 3/5 b Which is the third biggest value? (a) 21 (b) -26 (c) 14 b Which is the third biggest value? (a) -179 (b) -388 (c) -1.9 b Which is the fourth smallest value? (a) 1 (b) -21 (c) 0.1 (d) -0.4 (e) -9 (f) -2/13 f Which is the second smallest value? (a) -2 (b) 4 (c) 212 (d) 15 b What is the fourth smallest value in 0, 24, -1/5, 1, -4, 99? 1 Which is the third biggest value? (a) -293 (b) 13.6 (c) -5 a Which is the third smallest value? (a) 1/5 (b) 3 (c) 72056/17 c Which is the second smallest value? (a) 66 (b) 1.4 (c) 8 (d) -24/5 b What is the smallest value in 3/176, 2, 5, -0.3, -4? -4 Which is the biggest value? (a) 5 (b) 1 (c) 0.0095 (d) 0.1 (e) 2 (f) -0.3 a What is the biggest value in 3/865, -0.3, -16, 0.01? 0.01 Which is the smallest value? (a) -790 (b) -2 (c) 1 a Which is the third smallest value? (a) -57.3 (b) 2.1 (c) -6/7 b Which is the fifth smallest value? (a) -459 (b) 0.4 (c) -3 (d) 4 (e) 3.9 d Which is the smallest value? (a) 2 (b) 16 (c) 1 (d) 6440 (e) -2 e What is the second biggest value in -2287, -0.3, -0.2, -5? -0.3 What is the fifth smallest value in -2, -0.01, 21, 0.02, 0.5, 9? 9 Which is the third biggest value? (a) 1 (b) 4/3 (c) -4 (d) 0.01886 d Which is the fourth smallest value? (a) 244 (b) -5 (c) 3/7 (d) 2/11 (e) -2.98 c What is the fourth smallest value in 0.2, 1/521, 0.5, 0.01, 2/39, 2? 0.2 What is t
{ "pile_set_name": "DM Mathematics" }
9 = 0. Let n(m) = -m**3 + 3*m**2 + 5*m - 3. Let o be n(4). Let x(w) = 2*w + o - 3 + 0. Determine x(i). 6 Let g = -133/3 - -45. Let y(w) be the third derivative of -1/8*w**4 + 0*w + 1/60*w**5 + 0 - g*w**3 - 2*w**2. Determine y(5). 6 Let z be (-14)/21*(-15)/2. Suppose -2*p + p = -12. Suppose -3*w - j = -p, -z*w + 25 + 2 = 4*j. Let m(d) = d**2 - 4*d + 2. Determine m(w). -1 Suppose -5*z = 3*s - 9, -s - 2 = -0. Let x(c) = -2*c**2 + 3*c - 2. Let y(r) = 10*r**2 - 15*r + 10. Let f(t) = 11*x(t) + 2*y(t). Calculate f(z). -11 Let q(u) = -4*u + 20. Let p be q(6). Let t(n) = n**2 + 4*n + 6. Calculate t(p). 6 Let z(i) be the second derivative of -i**4/12 + 5*i**2/2 + 8*i. Suppose -2*u - 5*b + 18 = 0, 13 = -u - 0*u + 3*b. Let d be 0/2 + u + 1. Give z(d). 5 Let s(l) = -5*l - 3. Let v be 6/(-10) + 24/15. Suppose -3*b + 0*b = 4*c - 14, 0 = -c - 3*b - v. Let j be (4/6)/(c/(-15)). Determine s(j). 7 Suppose 2*k + 2 = -5*r, -k - 2 - 4 = 5*r. Suppose -3*w - 2*w + 16 = k*g, -2*w + 8 = 2*g. Let x = 0 - w. Let s(n) = -n**2 - n + 6. Give s(x). 6 Let v(u) = 3*u**2 + u + 0*u**2 - u**2. Let x(z) = 2*z + 5. Let r(b) = -b - 2. Let l(j) = -13*r(j) - 6*x(j). Let g be l(5). What is v(g)? 3 Let k(i) be the second derivative of -i**6/360 - i**5/120 - i**3/6 - 4*i. Let d(r) be the second derivative of k(r). What is d(0)? 0 Let d = 26 - 18. Let g(b) = b**2 - 9*b + 4. What is g(d)? -4 Let m(t) be the first derivative of -t**3/3 + 4*t**2 - 12*t + 48. Determine m(8). -12 Suppose -y + 5*y = 12. Let c be (y - 6)*16/(-3). Let q be c/4*(-1 - 0). Let h(l) = l**3 + 5*l**2 + 3*l - 1. Calculate h(q). 3 Suppose -12*c + 2 = -14*c. Let h(q) = -3*q. Calculate h(c). 3 Let t(c) = c**2 + 6*c + 5. Suppose 3*g = 3*y - 9, 3*g + 0 = -4*y - 2. Let n(m) = 2*m**3 - m + 1. Let v be n(y). Suppose z - 4 = v*z. Determine t(z). -3 Let w(m) = 6*m + 4*m - 5*m - 1. Calculate w(-1). -6 Let g(t) = 3*t**2 + 2*t + 1. Let r(f) = -f**3 + 9*f**2 + 13*f - 12. Let i be r(10). Let z = -19 + i. Calculate g(z). 2 Let t(c) = -c - 3. Suppose 2*y = -2*y - 20. Let d be t(y). Let b(o) = -o**2 - o + 2. What is b(d)? -4 Let a(v) = -5*v - 5. Suppose 9*n = -15 - 39. Determine a(n). 25 Let w(q) be the second derivative of -q**3/6 - q**2/2 - 8*q + 1. Suppose 2*n - n = -5. Calculate w(n). 4 Let g(r) = r**3 - 21*r**2. Let o be g(21). Let a(s) = -s + 4. Calculate a(o). 4 Let w(x) = x**2 + 2*x - 2. Suppose 2*j + 10 = 3*z, -2*z - 3*j = -j. Let i(a) = 2*a**3 + 8*a**2 + 3*a - 5. Let g be i(-3). Suppose -g*k - 10 - z = 0. Give w(k). 1 Let v(w) = -w**3 - 6*w**2 + 3*w - 8. Let y be v(-7). Let u be (-7)/(-2) - (-10)/y. Let i(l) = -l**3 + 4*l**2 - 1. Give i(u). -1 Let p(g) = -7*g**3 + 1 - 12*g**3 + 20*g**3 + g + 2*g + 3*g**2. What is p(-2)? -1 Let t(h) be the third derivative of h**6/24 + h**5/60 - h**3/6 + 3*h**2. Let u = -3 + 4. Give t(u). 5 Let x(m) = m**3 + 5*m**2 - m - 4. Let v(h) = 4*h**3 - h**2. Let i be -4 - ((-3 - 1) + 1). Let r be v(i). Determine x(r). 1 Let g(q) = q**3 + 2*q**2 - 3*q**3 - 7 + 3*q**2 - 2*q + q**3. What is g(5)? -17 Let o(n) = n**3 - 6*n**2 + 5*n - 2. Suppose 2*v + 31 = -5*l - 2*v, -5*l = -4*v - 1. Let p be 0 + (-9)/l + 2. Calculate o(p). -2 Let b(m) be the third derivative of m**5/6 - m**4/24 + m**2. Let i(r) = r**3 + r + 1. Let j be i(-1). Determine b(j). 11 Let c = 16 - 22. Let i be 1*c*2/6. Let v be (-4 - -2)/(4/i). Let f(q) = -5*q**3 - q**2 - q + 1. Give f(v). -6 Let z = 11 - 9. Suppose -4*v + 4 = -z*v. Let y(n) = 4*n**2 - 2*n**v - 6*n + 2*n**2 - 3*n**2. What is y(5)? -5 Let o = 43 + -71. Let q be o/(-6) + (-2)/3. Let t(d) = 7*d**2 - 10*d + 5. Let c(n) = 15*n**2 - 21*n + 10. Let k(f) = -6*c(f) + 13*t(f). Give k(q). 5 Let u = 5 + 9. Let y be 4/(-8) + u/(-4). Let c(l) be the first derivative of l**3/3 + 2*l**2 + 3*l + 1. Give c(y). 3 Let l(i) = 16*i**2 + 2*i - 1. Let r(v) = -1. Let x(s) = -l(s) + 2*r(s). Give x(-1). -15 Suppose -4 = -5*l + 1. Let x be 6 - (1 - (l + 1)). Let d(g) = 0*g - x*g + 4*g. Calculate d(4). -12 Let m(u) = -2*u**2 + 2*u + 4. Suppose j = 4*j. Let g = 3 - j. Determine m(g). -8 Let l(h) = -2*h + 2 - 4 + 7 - 2. Calculate l(5). -7 Let k(l) = l - 3. Let m = 14 + -9. Determine k(m). 2 Let n(v) be the second derivative of -v**6/180 + v**5/60 + v**4/8 - v**3/6 - 3*v. Let r(m) be the second derivative of n(m). Determine r(-2). -9 Let y(h) be the first derivative of -1 - 2*h + 1/2*h**2. Give y(-4). -6 Let x(a) = -a**2 + 3*a + 2. Let r(v) = 4*v**2 - 12*v - 8. Let k(q) = -q**2 - 4*q + 3. Let u be k(2). Let w(m) = u*x(m) - 2*r(m). Determine w(3). -2 Let u(d) be the second derivative of -d**5/5 + d**3/3 + d**2/2 - 2*d. Suppose 124*s = 133*s + 9. Give u(s). 3 Let k(i) = -i - 6 + 11*i**3 + 0*i + 2*i**3 - i**3 + 7*i**2. Let f(l) = -l**3 - l**2 + 1. Let t(u) = -6*f(u) - k(u). Give t(1). -6 Let p(u) be the first derivative of -3*u**2/2 - 2*u + 4. Give p(-7). 19 Let v = -399 - -402. Let k(z) = -4 + 0 + 0 + 5*z. What is k(v)? 11 Let w(d) = 9 + 3*d + 5*d**2 + 3*d + 2*d**2 + 2*d**3 - 3*d**3. Determine w(8). -7 Let q = 31 - 28. Let h(z) = 2*z - 1. What is h(q)? 5 Let g(y) = -y + 2. Let d = 7 + -2. Suppose d*i + 20 = -2*z, -z + 14 = i + 3*z. Let x be i/8 - (-52)/(-16). Determine g(x). 6 Suppose 3*m + 2 = 4*i, -2*m = -3*m + 2. Suppose 4*b = -14 - i. Let l(a) be the second derivative of a**3/3 + 3*a**2 - a. Determine l(b). -2 Let p(o) = -3*o**3 + o**2 + 4*o + 3. Let f(y) = 4*y**3 - y**2 - 4*y - 4. Let b(j) = -2*f(j) - 3*p(j). Let x be (-6)/4 + 3/(-2). Let d = x + 6. Give b(d). 5 Let c(y) = -y**2 + 6*y - 5. Let p = -6 + 12. Give c(p). -5 Let b be 0/2 - (-8 + 4). Let x(y) = y - 5. What is x(b)? -1 Let c(a) = -a**2. Let p(h) = -3 - 4*h**2 + 3*h + 0*h**2 - 4. Let z(k) = -5*c(k) + p(k). Let n(r) = 4*r**3 - 1. Let m be n(-1). Calculate z(m). 3 Let b = 4 + -2. Let g = -6 + 9. Let j(d) = 4*d + 0*d + g - b*d. Give j(3). 9 Suppose 0 = 10*p - 7*p. Let l = p + 7. Let w(f) = f**2 - 8*f + 6. Give w(l). -1 Let m(t) = t**2 + 8*t + 5. Let f = -36 + 19. Let d = f - -12. What is m(d)? -10 Let w(b) = b - 12. Let q(i) = -i + 10. Let x(t) = 7*q(t) + 6*w(t). Determine x(8). -10 Let j(g) = -g**2 - 6*g + 5. Suppose -5*z + 3 = 38. Give j(z). -2 Let u(t) = -t**3 + t**2 + t - 1. Let b be u(2). Let i be (-1)/(1/((-6)/2)). Let x(k) = -2*k**3 - 7*k**2 + 3*k**2 - i - 5*k + k**3. Determine x(b). 3 Let l(g) = -2*g**3 - g**2 + g + 1. Let k(i) = 4*i - 3*i - 2*i + 2*i. Let f be k(-1). Determine l(f). 1 Suppose -y + 2 = 3. Let m be (2 + -1 - y)*9. Suppose 0*b + b - m = 5*g, 4*g + 21 = 3*b. Let f(n) = 2*n**2 + 3*n - 2. Calculate f(g). 7 Let j(x) be the third derivative of -x**6/20 - x**5/30 + x**4/24 - x**2. Let t be (5/(-2) - -1)/(183/(-122)). Determine j(t). -7 Let a(n) = -n**3 + 3*n**2 - 3*n - 2. Suppose 4*r - 3 = -2*b + 3*r, -r = 3*b - 6. Determine a(b). -11 Let k(d) be the second derivative of d**4/24 + d**2 + 3*d. Let i(r) be the first derivative of k(r). Let c = -2 + 5. Determine i(c). 3 Suppose 0 = -3*c + 12, f + 0*c = -5*c + 18. Let t(a) = 3*a + 1. Determine t(f). -5 Let t = -16 - -15. Let a(l) = l. Let n(z) = -4*z + 2. Let s(y) = t*n(y) - 6*a(y). Calculate s(2). -6 Suppose 0 = -3*f - 0*h + 2*h + 8, 0 = -2*f + 5*h - 2. Suppose -5*s + x + 7 = 0, -f*s + x + 5 + 0 = 0. Let k(w) = 3*w - 2. Calculate k(s). 4 Let s be -1 - ((-2)/12 - 100/(-24)). Let x(d) = -d**2 - 4*d - 6. Calculate x(s). -11 Suppose 3*u - 6*u = -9. Let w(v) = -u*v**2 + 0*v**2 + 5*v**2. Calculate w(-1). 2 Let a(v) = v**2 - 3*v + 4*v + 18 - 21. What is a(-4)? 9 Let c(a) = 2*a - 15. Let y be c(7). Let r(u) = -u. What is r(y)? 1 Let j(y) be the second derivative of -y**3 - 1/12*y**4 + 0 - 2*y - 7/2*y**2. Give j(-5). -2 Let k(i) = -5*i - 9. Let x(j) = -j - 2. Let o(u) = 2*k(u) - 11*x(u). Give o(-3). 1 Let r = 9 - 5. Suppose 9*q - 4*q - r*b - 24 = 0, -3*q = 3*b - 9. Let d(v) = 2*v - 5. Calculate d(q). 3 Let m(s) = -2*s**3 + 2*s**2 + 2*s - 2. Let u be (-1)/(-4)*(-6 - 14/(-1)). Give m(u). -6 Let m(p) = 4*p**2 - 4*p + 2. Let l(f) = 2*f + 16. Let c be l(-8). Suppose c = -4*n - n + 10. Give m(n). 10 Let g(p) be the second derivative of -p**3/2 - p**2/2 - p. Let y(w) = 2*w**2 - 2*w - 7. Let d be y(3). Let j = 8 - d. Calculate g(j). -10 Let x(o) = o - 3 + 0 - 3*o. What is x(-5)? 7 Let u(i) = 6*i + 9 - 3*i**2 + 5*i**2 - 15*i - i**2. Determine u(6). -9 Let b(k) = k. Let s(g) = g + 1. Let z(y) = -2*b(y)
{ "pile_set_name": "DM Mathematics" }
1 Let w(m) be the first derivative of -m**4/2 + 4*m**3/3 + 4*m + 17. Let l(a) = 2*a**3 - 5*a**2 - 5. What is 4*l(i) + 5*w(i)? -2*i**3 Let o = -25 - -23. Let j(w) = w**2 - w + 1. Suppose 0 = 5*f + u - 6*u - 10, 4*f = -3*u - 27. Let h(p) = -p**2 + p - 1. Determine f*j(t) + o*h(t). -t**2 + t - 1 Let s(j) = -j + 3. Let k(x) = 5*x. Let a(l) = 14*l - 1. Let p(o) = 4*a(o) - 11*k(o). Suppose 3*u = 5*c - 7 + 47, -3*c - 5 = 2*u. Give c*p(w) - 7*s(w). 2*w - 1 Let h(i) = -7*i**2 + 5. Let g(s) = 1. Let m(v) = 3*v**2 - 4. Let b(l) = -2*g(l) - m(l). Give 5*b(r) - 2*h(r). -r**2 Let p(v) be the third derivative of v**4/8 + v**3/3 + 3*v**2. Let l(a) = -a**2 + 4*a + 3. Give 2*l(m) - 3*p(m). -2*m**2 - m Let a(k) = -4*k**2 + 133*k + 5. Let s(f) = 2*f**2 - 67*f - 2. Calculate 2*a(p) + 5*s(p). 2*p**2 - 69*p Let t(c) = c - 11. Let a(v) = -v + 24. What is -3*a(h) - 5*t(h)? -2*h - 17 Let m(z) = -9*z**3 + 5*z**2 + 11*z - 5. Let n(t) = 5*t**3 - 3*t**2 - 6*t + 3. What is 3*m(w) + 5*n(w)? -2*w**3 + 3*w Let l(h) be the third derivative of -h**5/60 + h**4/12 + h**3/6 + 5*h**2. Let j(q) = -3*q**2 + 12*q + 4 + 3 - 4 - 7*q. What is 3*j(n) - 8*l(n)? -n**2 - n + 1 Suppose 4*q + 13 - 23 = -5*j, 4*q = -3*j + 14. Let m(k) = -2*k**2 + 2*k + 1. Let w(x) = x + 0*x - 3*x - 1 + 2*x**2. Give q*w(o) + 4*m(o). 2*o**2 - 2*o - 1 Let g(i) = -i**2 + i. Let t(n) = -8*n**3 - 3*n**2 + 4*n. Calculate 4*g(p) - t(p). 8*p**3 - p**2 Let c(x) = 3*x**3 + 5*x**2 + 5*x + 11. Let b(i) = 2*i**3 + 3*i**2 + 3*i + 5. Give -5*b(w) + 3*c(w). -w**3 + 8 Let s(c) = 4*c**2 + 4*c**2 - 3*c**2 - 8 + 2. Let i(w) = -9*w**2 + 11. What is -4*i(t) - 7*s(t)? t**2 - 2 Let u(i) = -6*i**3 + 4 + 4*i - 3*i + 2*i. Let b be (-1)/4 - 18/(-72) - -3. Let w(l) = 5*l**3 - 2*l - 3. Give b*u(p) + 4*w(p). 2*p**3 + p Let h(k) = 18*k + 2. Let i(o) = -18*o - 2. Give -4*h(d) - 5*i(d). 18*d + 2 Let m(v) = 4. Let i(c) = -3. Let g(u) = 5*i(u) + 4*m(u). Let z(f) = -f - 6. Let j = 1 - 0. Calculate j*z(q) + 6*g(q). -q Let b be 44*(-2 + 45/20). Let x(u) be the second derivative of 2*u**4/3 - 4*u**3/3 - u**2/2 - u. Let k(r) = -15*r**2 + 15*r + 2. Calculate b*x(g) + 6*k(g). -2*g**2 + 2*g + 1 Let w be (-6)/(-3)*(-2)/(-4). Let x(g) = -1. Let c(b) = -2*b**2 + 10. Suppose 0 = 4*r - k - 42, 0 = -r - 0*k + 5*k + 20. Calculate r*x(u) + w*c(u). -2*u**2 Let k(d) = 4*d**2 - 5*d + 5. Let v(q) = -q**2 + 6*q + 2. Let t be v(6). Let x(p) = -2*p**t + 0*p - 2*p + 5*p**2 + 2 - p**2. Determine -2*k(c) + 5*x(c). 2*c**2 Let l(o) = -o + 10. Let x(k) = -1. Calculate 4*l(j) + 44*x(j). -4*j - 4 Let n(y) = 2*y + 2. Let i = 43 - 48. Let p(j) = -3*j - 4. Determine i*n(h) - 3*p(h). -h + 2 Let z(h) be the third derivative of h**5/20 - h**4/6 - h**3/2 + 5*h**2. Let j(p) = -p**2 + 2*p + 1. Determine -5*j(f) - 2*z(f). -f**2 - 2*f + 1 Let t(f) be the third derivative of -f**6/24 - f**5/12 - f**4/4 + 5*f**3/6 - 6*f**2. Let d(n) = 4*n**3 + 4*n**2 + 5*n - 4. Determine -6*d(g) - 5*t(g). g**3 + g**2 - 1 Let j(r) = -4*r - 4. Let q(u) = -1. Let w(d) = -j(d) + 2*q(d). Let l(k) = -11*k - 6. Determine 3*l(c) + 8*w(c). -c - 2 Let t(r) = -7*r**2 - 10*r + 7. Let z(o) = -6*o**2 - 9*o + 6. Calculate -5*t(b) + 6*z(b). -b**2 - 4*b + 1 Let j(v) = -v. Suppose -5*n = -5*g - 17 - 3, 4 = -n. Let k(p) = -4*p. Calculate g*j(t) + 3*k(t). -4*t Let o(q) = q + 4. Suppose 0 = 5*y - f + 17, -8*f - 19 = y - 3*f. Let r(l) = -l - 5. Calculate y*o(t) - 3*r(t). -t - 1 Let o(m) = m**3 - 5*m**2 - 7*m + 3. Let l be o(6). Let s(r) = -r**3 + r. Let z(c) = 3*c + 4 - 4. Calculate l*s(u) + z(u). 3*u**3 Let i(b) = -8*b + 1. Let q(f) = -46 + 88 + 7*f - 43. What is -5*i(h) - 6*q(h)? -2*h + 1 Let j(y) = -9*y + 2. Let z(p) = 1. Determine j(k) - 3*z(k). -9*k - 1 Let m(r) = -161*r - 21. Let d(v) = 16*v + 2. What is -21*d(c) - 2*m(c)? -14*c Let t(m) = 10*m - 4. Let o(b) = -b - 1. What is 2*o(k) - t(k)? -12*k + 2 Let t = 9 - 4. Let s be (-19)/t + (-8)/(-10). Let h(i) = i + 1. Let p(n) = -n**2 - n - 1. What is s*h(j) - 3*p(j)? 3*j**2 Let k(f) = f**3 + f**2 - f - 1. Let l(c) = 5*c**3 + 14*c**2 - 6*c - 8. What is -6*k(d) + l(d)? -d**3 + 8*d**2 - 2 Let c(l) = -l - 1. Let s(v) = 3*v - 6. Calculate 6*c(h) - s(h). -9*h Let x(g) = 15*g**2 + 7*g - 11. Let c(l) = -7*l**2 + 6 + 21*l - 25*l - l**2. Determine 7*c(z) + 4*x(z). 4*z**2 - 2 Let y(k) = 6*k + 7. Let p(v) = -v - 1. Suppose 0 = -4*b - 0 - 4. Determine b*y(g) - 5*p(g). -g - 2 Let l(x) = -x**3 - x**2 + x. Let h(a) = 2*a**3 + a**2 + 4*a + 5. Let t(j) = h(j) + l(j). Let g(k) = 4*k**3 + 24*k + 24. What is 5*g(q) - 24*t(q)? -4*q**3 Let m(i) = -5*i**2 + 6*i + 9. Let t be 88/(-14) - 42/(-147). Let a(z) = 9*z**2 - 11*z - 17. Give t*a(w) - 11*m(w). w**2 + 3 Let y = -25 + 20. Let g(m) = 2*m**2. Let d(v) = -3*v**2. Calculate y*g(h) - 4*d(h). 2*h**2 Let z(x) = -2 - 5*x**2 + 2*x**2 + 0*x**2 + 2*x**2 - 9*x. Let v(b) = 4*b + 1. Let j = -13 + 8. What is j*v(s) - 2*z(s)? 2*s**2 - 2*s - 1 Let l(c) be the second derivative of -c**5/20 - c**3/6 - c**2/2 + 2*c. Let x(i) = -5*i**3 - 6*i - 3. Determine -3*l(k) + x(k). -2*k**3 - 3*k Let k(p) = 4*p - 2. Let i(a) = 9*a - 4. Give 3*i(q) - 5*k(q). 7*q - 2 Let t(v) = -2*v - 4. Let l(c) be the first derivative of -2*c**2 - 9*c + 9. Determine -4*l(s) + 9*t(s). -2*s Let b(v) = -v**2 + 1. Let q(x) = x**3 - 5*x**2 + 2*x. Let i(w) = 2*b(w) - q(w). Let d(u) = u**3 - 2*u**2 + 2*u - 2. Give 3*d(n) + 2*i(n). n**3 + 2*n - 2 Let y(g) = 3*g - 6. Let q(z) = 1. Determine -4*q(t) - y(t). -3*t + 2 Let c(g) = 1. Let j(d) = -d**3 - d**2 + 4. Suppose 5*q - 9 = 1. Suppose -6 = z - 0*z - v, -q*z - 27 = -5*v. Determine z*j(l) + 6*c(l). l**3 + l**2 + 2 Let d(i) = -11*i**2 - 13*i + 15. Let o(y) = 5*y**2 + 6*y - 7. Suppose 0 = 3*r - 5*r - 12. What is r*d(h) - 13*o(h)? h**2 + 1 Let z = -52 + 51. Let k(o) = -1. Let j(x) = x - 1. Let b(n) = -n - 2. Let i be b(-5). Calculate i*k(p) + z*j(p). -p - 2 Let v(b) = b**3 + 2*b**2 + 2*b - 1. Let z(g) = 6*g**3 + 11*g**2 + 11*g - 4. Suppose 6 = 8*y - 10. Calculate y*z(i) - 11*v(i). i**3 + 3 Let h(p) = -4*p**2 - 5*p - 2. Let r = 10 + -5. Let i = -9 + r. Let x be ((-2)/i)/((-1)/14). Let c(l) = -2*l**2 - 2*l - 1. What is x*c(n) + 3*h(n)? 2*n**2 - n + 1 Let t be ((0 - -4) + 1)*1. Let j(m) = -11*m**2 + 6*m + 6. Let x(a) = 7*a**2 - 4*a - 4. Calculate t*j(c) + 8*x(c). c**2 - 2*c - 2 Suppose b = -b + 4. Let q(r) = -3*r + 1. Let v(k) = 4 + 0*k + 7*k - 7. What is b*v(d) + 5*q(d)? -d - 1 Let r be (-9 - (-207)/18)/((-2)/4). Let u(b) = 4*b**3 - b**2 + 6*b - 6. Let z(y) = 3*y**3 - y**2 + 5*y - 5. What is r*u(c) + 6*z(c)? -2*c**3 - c**2 Let l(r) = -6 - 5*r**2 + 3*r + 2*r - 1 + r. Let i(j) = -6*j**2 + 7*j - 8. Calculate 6*i(n) - 7*l(n). -n**2 + 1 Let g(p) = -4*p + 3 + 3*p + 3*p. Let l = -6 + 7. Let d be (l/2*-2)/(-1). Let w(x) = -1. Determine d*g(i) + 2*w(i). 2*i + 1 Let t(x) = -7*x**2 - 2. Let y(p) = 13*p**2 + 4. Let c = 0 - 6. Let i(f) = -9*f - 47. Let k be i(-4). What is c*y(b) + k*t(b)? -b**2 - 2 Let w(k) = -2*k + 36. Let m(v) = -2*v + 36. Give -3*m(t) + 4*w(t). -2*t + 36 Let i(s) = -40*s**2 + 5*s. Let c(u) = -81*u**2 + 9*u. Determine -5*c(m) + 9*i(m). 45*m**2 Let t(r) = r + 1. Let l(q) = -7*q - 4. Let u(y) = -y**2 + 6*y - 10. Let x be u(5). Determine x*t(v) - l(v). 2*v - 1 Let r(j) = 2*j**2 + 5*j. Let v(h) be the third derivative of 1/6*h**4 + 0 + 0*h**3 + 3*h**2 + 0*h + 1/30*h**5. What is -3*r(i) + 4*v(i)? 2*i**2 + i Let b(f) = -4*f**3 - 7*f - 5. Let v(x) = -2*x**2 - 4*x - 3. Let k be v(-2). Let o(s) = -4*s + 9 - 9 - 2 - 2*s**3 + s. Determine k*b(n) + 7*o(n). -2*n**3 + 1 Let j(a) = 14*a - 3. Let o(q) = -5*q + 1. Let s(x) = 4*j(x) + 11*o(x). Let i(n) = 2*n - 2. Calculate i(z) - 4*s(z). -2*z + 2 Suppose -1 + 49 = -6*v. Let q(l) = l**3 - l**2 - 3*l. Let b(t) = 3*t**3 - 4*t**2 - 8*t. Calculate v*q(y) + 3*b(y). y**3 - 4*y**2 Let s(o) = -17*o**2 + 9*o + 5. Let i(p) = p**2 - p - 1. Let r(q) = 3*q**2 - q. Let c(g) = -i(g) - r(g). Calculate 9*c(l) - 2*s(l). -2*l**2 - 1 Let o(v) = -2*v - 3. Suppose -i + 5*i = 0. Let x(z) = 5 + i - 4. Suppose 3*b - 3*u - 3 = 0, -b + 2*u - 4 + 2 = 0. What is b*x(h) + o(h)? -2*h + 1 Let n(j) = -7*j**2 + 4*j + 5. Let p be -1 + 2 + (1 - 0 - -2). Let b(o) = -o**2 + o + 1. Calculate p*b(z) - n(z). 3*z**2 - 1 Suppose 2*z - 3 = 11. Let h(q) = -q**2 - 7. Let w(n) = n**2 + 4. Determine z*w(f) + 4*h(f). 3*f**2 Suppose d - 2*z = 24, 106 = 4*d - 0*z + 2
{ "pile_set_name": "DM Mathematics" }
e -316*z - 4 + 735*z - 266*z + 30 - 235*z to the form p*z + n and give n. 26 Rearrange -1660 + 3366 + 5639*r - 1706 to the form d*r + h and give d. 5639 Rearrange 59882*n - 35*n**3 + 59963*n - 119782*n to the form p*n**3 + q*n**2 + v + u*n and give u. 63 Express -5 - 67*a + 4*a**2 + 18*a + 54*a + 0*a**4 + 2*a**4 + 6*a**3 as r*a**2 + c*a + v*a**3 + l + h*a**4 and give v. 6 Express -199*j**2 + j + 109 + 695*j**2 - 497*j**2 as x*j**2 + r + u*j and give x. -1 Rearrange 2 - 233*l - l**3 + 568*l + 274*l to the form h*l**3 + m*l + j + x*l**2 and give j. 2 Express (1 + 7 - 4)*(-424855*w + 424855*w + 3520*w**2) - w**2 + w**2 + w**2 as o*w**2 + z + b*w and give o. 14081 Express ((2 - 5 + 7)*(0 + 3 - 5) + 14 - 5 - 4)*(8*c - 15*c - 15*c) as b + h*c and give h. 66 Express -3830*f + 13362*f - 38534*f in the form q*f + i and give q. -29002 Rearrange (-2*o**2 - 2*o**2 + o**2)*(-29*o**2 - 28*o**2 + 41*o**2)*(178 + 399 + 352 + 568 - 103) to d*o**3 + w + z*o**4 + g*o**2 + r*o and give z. 66912 Express 3*u - 15037 - 15009 + 3*u**2 + 30047 as s*u**2 + p + k*u and give k. 3 Express 213 + 326 - 249 + b**3 + 18*b**4 - 788 - 3*b**3 in the form u*b + o*b**3 + i*b**2 + z + f*b**4 and give u. 0 Express -n**2 - 3*n**2 - 3510 - 2*n - 3495 + 6967 in the form m*n + k + w*n**2 and give w. -4 Rearrange (-8 + 8 + 6*z)*(-183 + 194 + 323 - 70 + 270 + 135) to m*z + w and give w. 0 Express (76*c**2 + 271*c**2 + 166*c**2)*(-63*c**2 + 22*c**2 - 24*c**2) in the form q*c**3 + y*c + t*c**2 + b*c**4 + i and give b. -33345 Express -8355647*s + 8355647*s + 3054*s**3 + 3*s**3 - s**3 - 4*s**3 + (-s**2 + 4*s**2 - 2*s**2)*(-s - 2*s + 4*s) as x*s**2 + k*s + r*s**3 + n and give r. 3053 Express (19*k + 64 - 119 + 54)*(4*k - 14 + 14) in the form y*k**2 + l + s*k and give y. 76 Rearrange (0 + 0 + 1 + (-3 + 2 + 0)*(-3 + 7 - 3) + (-238 + 136 - 81)*(28 - 6 - 17))*(-2*t**2 + 4*t**2 - t**2) to r + y*t**2 + b*t and give y. -915 Express (-6 - 12 + 3)*(-2 + g + 2)*(-g - 5*g - 3*g) in the form r*g + a + w*g**2 and give w. 135 Express (3*v**3 - v**3 - 3*v**3)*(-1735*v - 128*v - 1266*v) in the form u*v**4 + o + s*v + i*v**3 + a*v**2 and give i. 0 Rearrange 98 - 85 + 5*a**2 - 2*a**4 + 0*a**4 + (-6*a - a - a)*(-a**3 + 3*a**3 - 5*a**3) to p + y*a + f*a**3 + r*a**2 + q*a**4 and give r. 5 Rearrange (-1109*t + 527*t + 907*t)*(-209 + 600 - 285) to x + p*t and give p. 34450 Express 223 + 165*p + 18293*p + 52*p - 2*p**2 - 223 in the form g + w*p**2 + a*p and give w. -2 Express (31 - 21 + 11)*(-g**2 + 11*g**3 + 13*g**3 - 11*g**3 + (g - 4*g + 2*g)*(-2*g + 2 - 2)*(-5*g + 3*g + 18*g)) as j*g + f*g**2 + p*g**3 + z and give p. 945 Express 7*g + 2 + 38*g**2 - 52*g**2 - 7*g - 4 - 8*g as t*g**2 + y + j*g and give y. -2 Express -8 + 10 - 28*l + l**2 + 63*l - 17*l - 30*l + 15*l**3 - 2*l**4 as t + m*l**3 + v*l + y*l**2 + i*l**4 and give t. 2 Express 33*c + 0*c - 46*c + 5*c + 9583*c**2 + 6*c as b*c + u*c**2 + j and give b. -2 Rearrange 3 + 8291*v - 24322*v - 3 + 2203*v to the form o*v + h and give o. -13828 Rearrange (-s - 3*s + 2 + 2*s)*(-150986 + 150986 - 661*s) to the form o + i*s**2 + t*s and give o. 0 Express -3*q + 0*q + 4*q + (-1 + 5 - 1)*(-14516*q - 16360*q - 10295*q + 2329*q + 621*q) as s + k*q and give k. -114662 Rearrange 4748*u - 4748*u + 503*u**2 + 0 + 7 to the form m*u**2 + v + g*u and give m. 503 Express (2*j - j - 2*j)*(-2 - 1 + 2)*((4*j - 2*j + 5*j)*(j + 7*j - 2*j) - 85*j**2 - 19*j + 19*j) as v*j**3 + s*j**2 + r + p*j and give v. -43 Express (-7 + 5*x + 7)*(2 - 2 + 1) + (33*x + 37*x - 65*x)*(3 + 1 + 1) as v + n*x and give n. 30 Express (1692 - 731 - 831)*((-3 + 1 + 3)*(-4*u + 2*u - u) - 1 + 1 + u - 3 + u + 3 + (-u + 0*u + 0*u)*(1 + 4 - 3) - 2*u + 4*u - 4*u) as y + a*u and give y. 0 Express (6 - 3 - 4)*(-13*a - 8*a - 7*a + (-3 + 2*a + 3)*(-1 - 3 + 2)) - 3*a - 2 + 2 in the form b*a + x and give b. 29 Rearrange (-3 + 5 + 0)*(2 + 6 - 3)*(62 - 36*w - 65*w - 64) to the form l*w + x and give x. -20 Rearrange 47*b - b**4 - 17*b - 25*b - 121*b**3 to the form w + p*b + o*b**2 + s*b**4 + x*b**3 and give p. 5 Express -21626*r - 12 + 20843*r + 9 in the form l*r + w and give l. -783 Express 123 + 10*q**3 + 29*q + 25*q + 35*q - 86*q + 11 in the form p*q**2 + v*q + c*q**3 + s and give v. 3 Express 8*s**2 + 7*s**2 + 11*s**4 - 2*s**3 - 15*s**2 + 9*s**2 + 11 - 12 in the form k + r*s**2 + u*s + o*s**4 + b*s**3 and give r. 9 Express (22 - 4 + 13)*(t**2 + 3*t**2 + 2*t**2)*((-3 + 5 + 5)*(3*t + 3*t - 5*t) - 3*t - 4*t + 3*t) as i + b*t + v*t**2 + x*t**3 and give x. 558 Express -4 + 106 - 11859*p**2 - 1 - 101 in the form f*p + k + y*p**2 and give y. -11859 Rearrange 2 - x**3 - 2 + (-2*x**2 + 5*x**2 + 0*x**2)*((-4*x - x + 3*x)*(-2 - 1 + 1) + 3067*x + 2657*x - 2757*x) to s + k*x**3 + p*x + o*x**2 and give k. 8912 Rearrange 3 + 6 - 116*n + 392*n - 1 - 1 to the form l*n + p and give p. 7 Express 6*r**3 - 86516*r**2 + 34*r + 3*r**3 + 86516*r**2 + 2 as w*r**2 + c*r + b*r**3 + x and give w. 0 Rearrange (-3 + 0 + 1)*(-55 - 23*g + 55)*(-19*g + 39 - 39) to the form p*g + d*g**2 + j and give d. -874 Rearrange (-48 + 48 - 50*v + 245*v)*(-335*v - 20651 + 20651) to a + y*v + g*v**2 and give g. -65325 Rearrange -1 - 16181*j**4 + 16177*j**4 + 809*j**3 + 4 - 4 to c*j**2 + r*j**4 + p*j + q*j**3 + v and give r. -4 Express -10*p + 158 - 162 - 4*p + 15*p**2 as a*p + t + v*p**2 and give v. 15 Rearrange -258*c + 393*c - 216*c - 658*c - 1649*c to the form v + p*c and give p. -2388 Rearrange (-6*i + 16*i + 17*i)*(28*i - 5*i**2 + 87*i + 79*i) to the form n*i**3 + f*i + w + s*i**2 and give n. -135 Express (11623*t + 117709 + 117706 - 235414)*(-2*t - 4*t + 7*t) as i*t + j*t**2 + k and give i. 1 Express -16*q**2 - 19*q**2 + 83*q + 26*q**2 - 4*q**2 as v + z*q + t*q**2 and give z. 83 Express b - 11 + 21 - 5*b**2 + 40 + 0*b + 22 as r*b**2 + h + i*b and give i. 1 Rearrange -6*c - 1385*c**3 + 31*c**4 - 1386*c**3 - 2 + 4157*c**3 - 1385*c**3 to m*c**2 + i*c**4 + y + k*c**3 + x*c and give k. 1 Rearrange -243*t - 241*t - 236*t - 6687 + 953*t - 234*t to the form a + l*t and give l. -1 Express -51*t**4 + 1515*t + 3*t**3 - 2*t**2 - 13*t**4 - 1514*t as j*t**2 + s*t**3 + l*t**4 + q + p*t and give p. 1 Rearrange -1980*a + 1067*a + 982*a + (4 - 1 - 4)*(-1 - 6*a + 1) to the form d*a + n and give d. 75 Express -224*k**2 + 54*k**2 - 56 - 217*k**2 - k**3 + 55 in the form v*k + x*k**2 + u*k**3 + d and give u. -1 Express -14 + 14 + 37*m + (-4 + 3 + 3)*(7*m - 5*m + 4*m) as w + p*m and give p. 49 Rearrange (-m - 2*m + 5*m + (-104*m - 5*m - 95*m)*(2 + 0 - 3) + 3*m + 3*m - 4*m)*(0*m - 6*m + 0*m) to the form o + z*m**2 + v*m and give o. 0 Rearrange (10*k + 29*k + 20*k + (-1 - 3 - 1)*(5*k - k - 3*k + (0*k + 2*k + 0*k)*(3 - 5 + 1)))*(-k + k + 5*k**2) to d + w*k + p*k**3 + n*k**2 and give p. 320 Rearrange 0*z + z + 2*z + (2*z + 0*z + 0*z)*(-5 + 3 + 3) - 1 + 1 - 3*z + (-2 + 0 - 1)*(-22*z + 260 - 260) + 3*z - 3*z - 3*z to b + s*z and give s. 65 Express -2*v**3 + 4 + 0*v**2 + 672*v**4 - 682*v**4 - v**2 + 0*v**3 as h*v**2 + g*v**4 + b*v**3 + a + n*v and give a. 4 Express (1 + 2 - 7)*((3 + 1 - 1)*(0 + 0 + 2*v) - 16*v + 7*v + 15*v - v - v + 0*v) + (1 + 5 - 4)*(v + 0*v + 2*v)*(-5 + 3 + 1) in the form b + j*v and give j. -46 Express 2*a - 12524*a**2 + 25042*a**2 - 60*a**4 - 12516*a**2 - 8 - 4 in the form v*a + p*a**4 + n + q*a**3 + z*a**2 and give v. 2 Rearrange 2746*x - 1260*x + 974*x + 1975*x to s + r*x and give s. 0 Rearrange -g - 3*g - 34 + 33 + 6*g - 408*g**3 + 420*g**3 - g**2 to the form w + b*g**3 + x*g**2 + s*g and give x. -1 Rearrange ((4*t - 2*t - 9*t)*(-1 + 6 - 3) + (15*t + 29 - 29)*(2 + 2 - 2))*(-1 - 1 + 3*t - 2*t) to j + m*t + k*t**2 and give m. -32 Rearrange (2*k - 2*k + k**2)*(4 - 4 - k) + (-116 + 23 - 14)*(3*k**2 - 3*k**2 - k**3) + 4*k**3 + 1 - 1 to m*k**2 + l*k**3 + z*k + o and give l. 110 Express (-178*p - 911*p - 3732*p - 1193*p)*(3 + 4 - 3) in the form c + m*p and give m. -24056 Express (25 + 8 - 3)*(0 - g + 0 + (-2*g + 4*g - 3*g)*(2 + 1 - 1) + 2*g - 1 + 1 + 4*g + g - 3*g - 628 - 100*g + 628) in the form t + y*g and give y. -2970 Rearrange 436 - 2*b**2 - 304 - 406*b**4 + 201*b**4 - 2*b**3 + 200*b**4 to the form n*b**2 + d*b + q + a*b**4 + k*b**3 and give q. 132 Rearrange -105*n**2 + n**4 + 103*n**2 - 194*n + 872 + n**3 - 871 to o*n**4 + z*n**3 + d*n**2 + g + x*n and give z. 1 Expr
{ "pile_set_name": "DM Mathematics" }
nator of -13/58712 and 99/2296. 410984 Find the common denominator of 13/8838 and -89/31424. 282816 What is the lowest common multiple of 266 and 1421? 53998 What is the common denominator of -69/224 and 55/47572? 380576 Calculate the lowest common multiple of 42576 and 24. 42576 Find the common denominator of 103/546 and 58/1449. 37674 Find the common denominator of -7/551990 and -61/1870. 6071890 Calculate the common denominator of -82/225 and -40/2487. 186525 Calculate the least common multiple of 2340 and 45. 2340 Calculate the lowest common multiple of 1331 and 46. 61226 Calculate the lowest common multiple of 11 and 1762708. 19389788 What is the common denominator of 1/6 and -43/68001? 136002 What is the smallest common multiple of 21 and 554267? 1662801 What is the least common multiple of 1540 and 306460? 306460 Find the common denominator of -39/2686 and 143/8058. 8058 Calculate the lowest common multiple of 4341 and 24. 34728 Calculate the lowest common multiple of 38420 and 15368. 76840 Calculate the least common multiple of 45050 and 7950. 135150 What is the common denominator of 46/3135 and -37/5016? 25080 Calculate the common denominator of 109/66 and -89/7788. 7788 Calculate the common denominator of 157/285936 and 91/888. 285936 Calculate the lowest common multiple of 2627700 and 5532. 2627700 Calculate the common denominator of -44/38743 and -58/477. 348687 Calculate the smallest common multiple of 45 and 55008. 275040 What is the common denominator of -127/8568 and -113/3528? 59976 Find the common denominator of -73/8 and -133/8067534. 32270136 Calculate the smallest common multiple of 1904 and 714. 5712 What is the common denominator of -73/21808 and 99/54520? 109040 Calculate the smallest common multiple of 7945 and 11350. 79450 What is the lowest common multiple of 900 and 22770? 227700 What is the common denominator of -53/217240 and -23/70? 1520680 Find the common denominator of -93/154 and -27/8288. 91168 Calculate the common denominator of -109/1680 and 11/5712. 28560 What is the lowest common multiple of 97310 and 9731? 97310 What is the smallest common multiple of 36 and 13731? 164772 What is the common denominator of -17/3674 and 14/2871? 958914 Find the common denominator of 17/3764 and 9/13174. 26348 Calculate the common denominator of 35/1242 and 149/23046. 207414 What is the common denominator of -6/89 and -50/3533? 314437 Calculate the common denominator of -89/134865 and -61/629370. 1888110 Calculate the least common multiple of 28 and 28413. 113652 Find the common denominator of -47/404622 and 143/359664. 3236976 What is the common denominator of 49/88716 and 121/6? 88716 What is the common denominator of -59/2 and -43/3091? 6182 Find the common denominator of 47/6600 and -103/110. 6600 What is the common denominator of 1/249999 and 127/6? 499998 Calculate the lowest common multiple of 15 and 29730. 29730 Calculate the common denominator of -47/3 and 88/273555. 273555 Calculate the least common multiple of 338 and 41678. 541814 What is the common denominator of 41/1560 and -93/416? 6240 Calculate the least common multiple of 1026 and 4826. 130302 What is the least common multiple of 1101 and 34865? 104595 Calculate the least common multiple of 21742 and 63. 195678 Find the common denominator of -119/19000 and -109/66500. 133000 Calculate the smallest common multiple of 29442 and 138798. 971586 What is the common denominator of 119/267894 and 2/12177? 267894 Calculate the common denominator of 73/437529 and 25/1377. 11813283 Calculate the least common multiple of 108 and 11232. 11232 Find the common denominator of -47/315 and -41/2527. 113715 What is the common denominator of -143/316908 and 7/12? 316908 What is the lowest common multiple of 414 and 570? 39330 Find the common denominator of 27/1184 and -45/32. 1184 What is the smallest common multiple of 1953 and 62? 3906 Calculate the least common multiple of 55920 and 22368. 111840 Calculate the common denominator of 77/204544 and -35/4608. 3681792 What is the common denominator of 23/119 and -46/6167? 104839 What is the common denominator of 65/15622 and 69/292? 31244 Find the common denominator of 62/31305 and 21/104350. 313050 What is the common denominator of -107/56 and -57/30296? 30296 Find the common denominator of 111/1180 and 103/46020. 46020 Find the common denominator of 65/56 and 37/8008. 8008 Calculate the lowest common multiple of 5 and 106817. 534085 What is the common denominator of 101/134904 and -29/77? 134904 What is the smallest common multiple of 28 and 7128? 49896 Calculate the smallest common multiple of 1735 and 4. 6940 What is the smallest common multiple of 104 and 43136? 560768 What is the common denominator of 53/15687 and 101/14? 31374 What is the least common multiple of 23571 and 1529496? 13765464 Calculate the least common multiple of 23650 and 1324400. 1324400 Calculate the common denominator of 93/32 and -79/1388. 11104 Find the common denominator of -55/24 and 87/582896. 1748688 What is the smallest common multiple of 2 and 94178? 94178 Find the common denominator of -49/666 and 107/4662. 4662 What is the least common multiple of 646531 and 309? 1939593 What is the common denominator of 56/23445 and -38/27? 70335 Find the common denominator of 49/2166 and 39/2546. 145122 What is the smallest common multiple of 2488370 and 108190? 2488370 Calculate the lowest common multiple of 424 and 157952. 8371456 What is the least common multiple of 662152 and 1655380? 3310760 Calculate the least common multiple of 4960 and 155. 4960 Calculate the common denominator of -23/205 and 169/57090. 2340690 Find the common denominator of 15/104 and -49/772330. 3089320 Calculate the lowest common multiple of 421821 and 6. 843642 What is the least common multiple of 440 and 627088? 3135440 Find the common denominator of 69/104680 and 19/115148. 1151480 Find the common denominator of 28/55899 and 65/167697. 167697 Calculate the lowest common multiple of 71401 and 45437. 499807 What is the lowest common multiple of 48 and 3408? 3408 What is the common denominator of 67/160184 and -25/64? 1281472 What is the lowest common multiple of 5005 and 14? 10010 What is the lowest common multiple of 3534 and 1206? 710334 What is the common denominator of 173/5148 and 109/1768? 175032 What is the lowest common multiple of 112 and 419? 46928 Calculate the common denominator of 191/11400 and 227/815100. 1630200 Find the common denominator of 83/66 and 151/2168406. 23852466 Calculate the common denominator of -13/30 and 121/27294. 136470 Calculate the common denominator of -13/9375 and -37/6250. 18750 What is the common denominator of 34/8505 and 47/15? 8505 Calculate the lowest common multiple of 1794 and 210197. 1261182 What is the smallest common multiple of 60 and 9668? 145020 Calculate the lowest common multiple of 28 and 257194. 514388 Calculate the common denominator of -79/22842 and 11/1944. 91368 Calculate the common denominator of -48/143875 and 45/2302. 287750 Calculate the common denominator of -111/5236 and 15/151096. 1057672 What is the lowest common multiple of 65394 and 70? 326970 Calculate the smallest common multiple of 3148 and 646914. 1293828 What is the common denominator of 38/9 and 25/18321? 54963 Find the common denominator of 37/2256 and -119/1464. 137616 What is the lowest common multiple of 54440 and 387885? 3103080 Calculate the common denominator of -97/551710 and 11/185. 20413270 Calculate the smallest common multiple of 120 and 536970. 2147880 What is the smallest common multiple of 562 and 7530? 2115930 What is the smallest common multiple of 11907 and 70? 119070 What is the least common multiple of 41115 and 50? 411150 Calculate the smallest common multiple of 658 and 294. 13818 What is the lowest common multiple of 6 and 5994? 5994 What is the least common multiple of 2481 and 10? 24810 Calculate the common denominator of 101/1380 and -2/10465. 125580 Calculate the lowest common multiple of 89838 and 84. 179676 What is the common denominator of 79/120642 and 46/93? 3739902 Find the common denominator of 61/254824 and 91/48. 1528944 Calculate the lowest common multiple of 1793596 and 56. 3587192 Calculate the least common mul
{ "pile_set_name": "DM Mathematics" }
*u**2 + 9/32*u**4. What is s in h(s) = 0? -3, 0, 1/4, 3 Let k be (5/(-4))/((-30)/48). Find y such that 36*y + 428*y**2 + 452*y**2 + 2*y**3 - 918*y**k = 0. 0, 1, 18 Let n(x) be the third derivative of -x**6/1080 - x**5/15 + x**4/216 + 2*x**3/3 - 189*x**2 - 6*x. Factor n(h). -(h - 1)*(h + 1)*(h + 36)/9 Suppose 4*p - 3*u = 10, -5*p + 6 = 2*u - 18. Find l, given that -3*l**5 + 24*l**3 - 8*l**p + 27*l**2 - l**5 + 27 - 20*l + 5*l**2 - 51 = 0. -3, -1, 1, 2 Let w(u) be the first derivative of -5*u**4/4 - 65*u**3/3 - 115*u**2/2 - 55*u + 5629. What is a in w(a) = 0? -11, -1 Let m = -588397/9 + 65379. Factor -m*r**2 + 10/3 - 64/9*r. -2*(r + 5)*(7*r - 3)/9 Let o be (2 - 4/20) + (-9 - -9). Let w(j) be the first derivative of 2/5*j**3 - 24/5*j + o*j**2 - 7. Factor w(m). 6*(m - 1)*(m + 4)/5 Let m = -77 - 75. Let a = 147 + m. Let n(c) = 15*c**4 + 53*c**3 + 21*c**2. Let y(l) = l**4 - l**3 - l**2. Let s(h) = a*y(h) - n(h). Solve s(x) = 0 for x. -2, -2/5, 0 Let c(t) be the first derivative of -t**5 + 120*t**4 - 14720*t**3/3 + 76800*t**2 - 512000*t + 2763. Factor c(x). -5*(x - 40)**2*(x - 8)**2 Let q = -29280 - -29280. Let s(d) be the first derivative of 30 + 2/15*d**3 + q*d - 7/5*d**2. Determine y so that s(y) = 0. 0, 7 Let j(a) be the second derivative of 575/4*a**3 - 5 - 47/8*a**4 + 2*a - 1587/4*a**2 + 3/40*a**5. Factor j(t). 3*(t - 23)**2*(t - 1)/2 Let c(d) = d**2 - 7. Let s(m) = -m**2 - 1. Let g(x) = c(x) - s(x). Let u be g(-2). Factor 6*a**u - 3*a**3 - 2 + 2 + 563*a - 566*a. -3*a*(a - 1)**2 Let p = 599471 + -2397879/4. Factor 7/2 - 1/4*j**2 - p*j. -(j - 2)*(j + 7)/4 Let h(z) be the third derivative of -1/6*z**4 + 100*z**2 + 19/60*z**5 + 0 + 0*z**3 + 0*z. Find d, given that h(d) = 0. 0, 4/19 Let u(h) = h - 2. Let f(o) = 9*o**2 + 4*o - 22. Let l(z) = f(z) - 5*u(z). Let v(x) = -11*x**2 + 2*x + 14. Let k(q) = -5*l(q) - 4*v(q). Factor k(r). -(r - 1)*(r + 4) Let k(x) be the third derivative of x**7/168 + x**6/18 + x**5/6 - 58*x**3/3 - x**2 - 13. Let o(m) be the first derivative of k(m). Suppose o(u) = 0. What is u? -2, 0 Let f(o) = -o**4 - 2*o**3 - o**2 + 2*o. Let g(i) = -6*i**4 - 58*i**3 - 851*i**2 - 6470*i - 18225. Let q(p) = -5*f(p) + g(p). Solve q(l) = 0. -15, -9 Let a(b) = -17*b**2 - 8*b. Let v be 2 + -1 - (-10 + 2). Let g(f) = -33*f**2 - 15*f. Let i(r) = v*a(r) - 5*g(r). Factor i(o). 3*o*(4*o + 1) Find f such that 8/3 + 2/3*f + 2/3*f**4 + 1/6*f**5 - 5/6*f**3 - 10/3*f**2 = 0. -4, -2, -1, 1, 2 Suppose -2*x = -2*m + x - 596, 320 = -m - 4*x. Let d = 2738/9 + m. Let 2/3 - 8/9*a + d*a**2 = 0. What is a? 1, 3 Let r(n) be the first derivative of -n**6/9 + 16*n**4/3 - 68*n**3/3 + 113*n**2/3 - 28*n - 3175. Suppose r(h) = 0. What is h? -7, 1, 2, 3 Let o(f) = -3*f**2 + 1562*f + 205932. Let s(v) = 3*v**2 + 5*v. Let w(j) = -o(j) - 2*s(j). What is b in w(b) = 0? -262 Let n = 863/2575 + -14/7725. Factor n - 8/3*c + 7*c**2 - 6*c**3. -(2*c - 1)*(3*c - 1)**2/3 Let c = -716 - -719. Let h be 28/(-12) + c - (-14)/(-42). Let h*a**2 - 2/3*a + 0 = 0. What is a? 0, 2 Let t(m) = -75*m**2 + 31061*m - 20710. Let u(p) = -204*p**2 + 93184*p - 62128. Let x(l) = 8*t(l) - 3*u(l). Solve x(k) = 0 for k. 2/3, 2588 Let y(x) be the second derivative of -x**7/1680 + x**6/160 + x**5/20 - x**4/6 - 18*x**3 - 12*x - 3. Let m(b) be the third derivative of y(b). Solve m(d) = 0. -1, 4 Let h(z) be the second derivative of -z**6/280 - z**5/35 - z**4/56 + 3*z**3/7 - 79*z**2/2 + 63*z. Let v(i) be the first derivative of h(i). Factor v(f). -3*(f - 1)*(f + 2)*(f + 3)/7 Let z(h) be the first derivative of -h**5/4 - 5*h**4 - 55*h**3/6 + 69*h + 27. Let j(t) be the first derivative of z(t). Factor j(r). -5*r*(r + 1)*(r + 11) Let m(s) be the third derivative of -51/350*s**7 + 7/10*s**6 - 8/5*s**3 + 1/80*s**8 - 2*s**2 + 12/5*s**4 - 44/25*s**5 + 0*s - 35. Find t such that m(t) = 0. 2/7, 1, 2 Let f(q) be the second derivative of -77*q + 2/15*q**5 + 62/9*q**3 - 5/3*q**4 + 0 - 8*q**2. Factor f(p). 4*(p - 4)*(p - 3)*(2*p - 1)/3 Suppose 341 - 375 = -s + 5*u, 0 = 3*s - 7*u - 54. Factor -2/3*a**2 - 16/3 + s*a. -2*(a - 4)*(a - 2)/3 Let i(s) be the first derivative of 7/6*s**3 - 5*s + 1/20*s**5 - 5/12*s**4 + 2 - 3/2*s**2. Let j(m) be the first derivative of i(m). Let j(c) = 0. Calculate c. 1, 3 Solve 5/6*l - 1/3 - 1/3*l**2 - 2/3*l**3 + 2/3*l**4 - 1/6*l**5 = 0. -1, 1, 2 Suppose 2*f = -70 + 76. Factor 4*c**f - 51 + 69 - 32*c - 66 + 4*c**2. 4*(c - 3)*(c + 2)**2 Let y be 4*(7 - 8) + (160 - 1). What is z in -568*z**2 + 505*z + y - 5*z**3 + 813*z**2 + 100 = 0? -1, 51 Let d(z) be the third derivative of -5*z**2 + 0*z - 1/1260*z**7 + 1/18*z**3 - 1/720*z**6 - 12 + 1/120*z**5 + 5/144*z**4. Factor d(y). -(y - 2)*(y + 1)**3/6 Let g be 1/((-221)/395598) - 190/(-1235). Let l = g + 1790. Solve 28/17*r**3 + 320/17*r - 256/17 - 144/17*r**2 - l*r**4 = 0 for r. 2, 4 Suppose -18*c - 1071 = -25*c. Let t be 18/c + 168/17. Find w such that 40*w**2 + 8*w**4 + 7*w**5 - 6 - 10*w - t*w**3 + 1 - 43*w**4 + 13*w**5 = 0. -1, -1/4, 1 Let w = 7223 + -86675/12. Let b(r) be the first derivative of 0*r**2 + 0*r + 2/9*r**3 + w*r**4 - 17. Determine v so that b(v) = 0. -2, 0 Let q(r) = 3003*r - 72068. Let w be q(24). What is l in -16/5*l**w + 32/5 - 196/5*l**2 + 72/5*l + 108/5*l**3 = 0? -1/4, 1, 2, 4 Let i(p) be the first derivative of -p**4/16 - 3*p**3/2 - 17*p**2/8 - 220. Factor i(m). -m*(m + 1)*(m + 17)/4 Let o(w) be the third derivative of 911*w**5/60 - 451*w**4/54 - 2*w**3/27 - 5*w**2 - 2*w + 478. Let o(i) = 0. What is i? -2/911, 2/9 Let v(g) be the first derivative of -3/20*g**5 - 7/4*g**3 + 0*g + 15/16*g**4 + 9/8*g**2 - 19. Let v(b) = 0. Calculate b. 0, 1, 3 Suppose -4*i = t + 18, -i - 2 - 7 = -2*t. Let g(w) = w**3 - 14*w**2 + 2. Let f be g(14). Solve 2 - 4 - 3*d**f + d**t + 5*d - d = 0 for d. 1 Suppose 2*n = 2*j - 16, 6*n - 15 = 9*n. Let p(g) be the first derivative of 0*g + g**4 + 5 + 4/3*g**j + 0*g**2. Factor p(d). 4*d**2*(d + 1) Let m be (-610)/((2/6)/(7/(-42))). Suppose 8*n - m = -105. Factor -p**2 + p - 15 - 6*p + n*p - 4*p**2. -5*(p - 3)*(p - 1) Find v, given that 8*v - 212/3*v**3 - 12*v**5 - 20/3*v**2 + 60*v**4 + 0 = 0. -1/3, 0, 1/3, 2, 3 Let m(a) be the second derivative of a**5/130 + 11*a**4/78 - 46*a**3/39 - 56*a**2/13 - 2*a + 1510. Factor m(h). 2*(h - 4)*(h + 1)*(h + 14)/13 Let r(d) be the first derivative of d**7/2520 - 5*d**6/216 + 47*d**5/360 - 23*d**4/72 + 125*d**3/3 - 11. Let p(k) be the third derivative of r(k). Factor p(b). (b - 23)*(b - 1)**2/3 Factor 2/3*z**4 + 0 + 340*z**2 - 288*z - 158/3*z**3. 2*z*(z - 72)*(z - 6)*(z - 1)/3 Let g be (-79742)/169*((-1 - 0) + 0). Let p = 472 - g. Factor -20/13*v**2 + 50/13*v + p*v**3 + 0. 2*v*(v - 5)**2/13 Let b(a) = -a**3 - 2*a**2 + a + 1. Let z(r) = 343*r**4 + 16224*r**3 - 28466*r**2 + 16395*r - 3141. Let k(w) = -5*b(w) - z(w). Factor k(t). -(t + 49)*(7*t - 4)**3 Let n be 33/220 - (-18)/(-180). Let u(p) be the first derivative of -17 - n*p**4 + 0*p**2 + 4/5*p - 1/5*p**3. Factor u(q). -(q - 1)*(q + 2)**2/5 Let i(q) be the second derivative of q**4/84 + 2476*q**3/21 + 3065288*q**2/7 - 41*q - 94. Factor i(m). (m + 2476)**2/7 Let n(f) be the second derivative of f**6/2160 - 7*f**5/120 + 49*f**4/16 + 8*f**3/3 - 239*f. Let y(z) be the second derivative of n(z). Solve y(r) = 0. 21 Let l = 267470 + -3477104/13. Factor -4/13 + l*g + 10/13*g**2. 2*(g + 1)*(5*g - 2)/13 Let l(n) be the second derivative of -n**6/90 - 17*n**5/60 + n**4/12 + 49*n**3/18 - 17*n**2/3 - 885*n. Factor l(h). -(h - 1)**2*(h + 2)*(h + 17)/3 Let g(i) be the second derivative of i + 0*i**4 + 5/2*i**3 - 45 - 5*i**2 - 1/4*i**5. Factor g(f). -5*(f - 1)**2*(f + 2) Factor -3/7*v**2 - 2595/7 + 534/7*v. -3*(v - 173)*(v - 5)/7 Find l such that -108 - 96*l**4 + 664*l - 51*l**4 - 378*l**3 + 309*l**2 - 340*l = 0. -3, -6/7, 2/7, 1 Solve 2/3*g + 8/21 - 4/21*g**4 + 2/21*g**5 - 16/21*g**3 - 4/21*g**2 = 0 for g. -1, 1, 4 Let z(x) = x**2 - 110*x - 236. Let k(l) = -l**2 + 111*l + 234. Let v(t) = 3*k(t) + 2*z(t). Find c such that v(c) = 0. -2, 115 Let u = -10170 + 10173. Factor -8 + 4/9*j**u + 4*j + 32/9*j**2. 4*(j - 1)*(j + 3)*(j + 6)/9 Let j = 17658031/684420 + 1/136884. Solve 0 + 3*g**5 + 24/5*g**2 + 84/5*g**4 - 36/5*g + j*g**3 = 0. -3, -2, -1, 0, 2/5 Let j = 279 - 262. Factor 13*s**3 + 39*s + 20 + 19*s + 65*s**2 + 2*s + j*s**3 + 5*s**4. 5*(s + 1)**2*
{ "pile_set_name": "DM Mathematics" }
ng 2 a and 1 d. 5/136 Calculate prob of picking 2 l and 2 i when four letters picked without replacement from blqqiiliqillk. 36/715 Calculate prob of picking 2 a and 1 c when three letters picked without replacement from ttttcctttacvcvttaac. 5/323 Three letters picked without replacement from {z: 2, m: 4}. Give prob of picking 1 m and 2 z. 1/5 What is prob of picking 3 a when three letters picked without replacement from {a: 11, s: 1, z: 2}? 165/364 What is prob of picking 2 x and 2 i when four letters picked without replacement from {i: 5, x: 7}? 14/33 Calculate prob of picking 4 x when four letters picked without replacement from {x: 7, o: 5}. 7/99 Three letters picked without replacement from ptnpwpptww. What is prob of picking 2 t and 1 w? 1/40 Calculate prob of picking 2 w when two letters picked without replacement from {k: 4, w: 3}. 1/7 What is prob of picking 2 v, 1 l, and 1 d when four letters picked without replacement from {l: 1, v: 3, d: 1, i: 2}? 3/35 Two letters picked without replacement from tnetsensteef. What is prob of picking 2 s? 1/66 Calculate prob of picking 1 q and 2 g when three letters picked without replacement from gygqeegpyyyee. 3/286 What is prob of picking 3 s when three letters picked without replacement from {s: 9, i: 5}? 3/13 Three letters picked without replacement from {c: 1, l: 3, i: 3}. What is prob of picking 3 i? 1/35 Two letters picked without replacement from gdpgojno. What is prob of picking 1 p and 1 o? 1/14 Calculate prob of picking 1 l, 1 h, and 1 q when three letters picked without replacement from {l: 8, q: 9, h: 1, p: 2}. 6/95 Two letters picked without replacement from {y: 3, u: 3}. What is prob of picking 2 y? 1/5 Four letters picked without replacement from haygwgyghhgawyggwg. Give prob of picking 1 h, 1 a, and 2 y. 1/170 Four letters picked without replacement from {e: 1, j: 3, y: 2, r: 1, w: 3, k: 1}. Give prob of picking 1 r, 1 e, and 2 y. 1/330 Two letters picked without replacement from ccqaioaaocoqcfa. Give prob of picking 1 c and 1 f. 4/105 Two letters picked without replacement from {c: 6, g: 6, b: 3}. Give prob of picking 2 c. 1/7 Calculate prob of picking 1 q, 1 k, and 1 d when three letters picked without replacement from dekbbpq. 1/35 Three letters picked without replacement from jjjjfjfjlljll. What is prob of picking 1 j and 2 f? 7/286 Four letters picked without replacement from jyjkjyycypkkjj. Give prob of picking 1 p, 1 k, 1 c, and 1 j. 15/1001 Three letters picked without replacement from llxzhtxxxtlhzl. Give prob of picking 1 h and 2 x. 3/91 Calculate prob of picking 3 c when three letters picked without replacement from gcgkccgkcgkccckkk. 7/136 Two letters picked without replacement from {g: 1, p: 11, a: 3, v: 1, y: 1, z: 1}. What is prob of picking 1 y and 1 z? 1/153 What is prob of picking 1 x, 1 u, 1 q, and 1 g when four letters picked without replacement from qqxxgqqu? 4/35 Two letters picked without replacement from lllllxlxxlll. Give prob of picking 2 x. 1/22 Four letters picked without replacement from {c: 5, t: 9}. Give prob of picking 4 c. 5/1001 What is prob of picking 1 t and 2 d when three letters picked without replacement from {f: 1, d: 2, p: 13, y: 2, t: 2}? 1/570 Calculate prob of picking 1 q and 1 l when two letters picked without replacement from oooqqluuuuqvqq. 5/91 Four letters picked without replacement from {v: 7, t: 2, w: 3}. Give prob of picking 2 w, 1 v, and 1 t. 14/165 What is prob of picking 2 h when two letters picked without replacement from {h: 16, g: 2}? 40/51 Four letters picked without replacement from zjnisvsn. Give prob of picking 2 s, 1 i, and 1 v. 1/70 Four letters picked without replacement from rewrqwreve. Give prob of picking 3 e and 1 v. 1/210 Four letters picked without replacement from bbbbbrbrbb. What is prob of picking 3 b and 1 r? 8/15 Two letters picked without replacement from rruruuruuu. Give prob of picking 2 r. 2/15 What is prob of picking 1 q, 1 h, and 1 o when three letters picked without replacement from qqqqqoqqqhhhqqqqq? 39/680 Calculate prob of picking 1 t and 3 o when four letters picked without replacement from {l: 1, o: 4, t: 4, e: 1, k: 1, u: 1}. 16/495 Three letters picked without replacement from {t: 1, l: 1, n: 2, j: 2}. Give prob of picking 2 l and 1 t. 0 Two letters picked without replacement from {i: 7, s: 9}. Give prob of picking 1 s and 1 i. 21/40 What is prob of picking 2 l when two letters picked without replacement from wwuwfkglwlfkku? 1/91 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from cpqsssp. 2/21 Two letters picked without replacement from kqgkqkggqkk. What is prob of picking 1 q and 1 k? 3/11 What is prob of picking 4 p when four letters picked without replacement from {p: 6}? 1 Calculate prob of picking 1 r and 1 h when two letters picked without replacement from eejergcjjejhe. 1/78 Three letters picked without replacement from fxxxxffffxxxffff. What is prob of picking 1 x and 2 f? 9/20 What is prob of picking 3 h and 1 e when four letters picked without replacement from hhwhweaeggwagww? 2/1365 Two letters picked without replacement from leelleleelleel. Give prob of picking 2 l. 3/13 Three letters picked without replacement from stfiu. Give prob of picking 1 f, 1 i, and 1 u. 1/10 Two letters picked without replacement from xxdddddwnvyddy. Give prob of picking 1 v and 1 y. 2/91 Two letters picked without replacement from {g: 3, k: 12}. What is prob of picking 2 k? 22/35 Two letters picked without replacement from {a: 5, j: 2}. Give prob of picking 1 j and 1 a. 10/21 Four letters picked without replacement from rlcoycypo. Give prob of picking 1 o, 1 l, 1 c, and 1 r. 2/63 Calculate prob of picking 1 c, 1 j, 1 z, and 1 y when four letters picked without replacement from ccexjzyy. 2/35 Four letters picked without replacement from {b: 1, g: 8, f: 1, n: 6, d: 2}. What is prob of picking 3 d and 1 b? 0 Three letters picked without replacement from dqdqddddddddddqdqddd. Give prob of picking 2 q and 1 d. 8/95 Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {j: 3, a: 2, b: 2, c: 2}. 1/14 Two letters picked without replacement from {t: 6, o: 6, l: 3}. Give prob of picking 1 t and 1 l. 6/35 Calculate prob of picking 1 g, 1 d, and 1 c when three letters picked without replacement from gcggddgcggcgggg. 12/91 What is prob of picking 1 q and 1 e when two letters picked without replacement from gjogenjnqojgoeg? 2/105 Four letters picked without replacement from {v: 1, j: 2, o: 1, r: 2}. What is prob of picking 1 j, 1 r, 1 v, and 1 o? 4/15 What is prob of picking 3 u and 1 q when four letters picked without replacement from uucuccuuqcuuuu? 12/143 Two letters picked without replacement from {j: 2, g: 2, m: 1}. Give prob of picking 1 g and 1 j. 2/5 Three letters picked without replacement from frrbfpm. What is prob of picking 1 r and 2 f? 2/35 Two letters picked without replacement from {b: 2, f: 3, t: 2, g: 1, s: 4}. Give prob of picking 1 s and 1 g. 2/33 What is prob of picking 1 r, 1 y, and 2 e when four letters picked without replacement from {y: 1, e: 11, r: 5}? 55/476 What is prob of picking 2 j and 1 c when three letters picked without replacement from cjcjcj? 9/20 What is prob of picking 1 q, 1 n, and 2 o when four letters picked without replacement from sansvosqqaon? 4/495 Calculate prob of picking 4 e when four letters picked without replacement from {r: 2, e: 4, c: 10}. 1/1820 What is prob of picking 2 v when two letters picked without replacement from vvv? 1 What is prob of picking 1 o and 2 k when three letters picked without replacement from ssokosoksok? 4/55 Three letters picked without replacement from {t: 3, l: 4}. What is prob of picking 1 l and 2 t? 12/35 Two letters picked without replacement from {k: 3, c: 3, i: 1}. Give prob of picking 2 k. 1/7 Two letters picked without replacement from aazazazaaaauaazdba. What is prob of picking 1 b and 1 a? 11/153 Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbu. 3/4 Calculate prob of picking 1 i and 1 w when two letters picked without replacement from swsimm. 1/15 Calculate prob of picking 1 f, 2 h, and 1 r when four letters picked witho
{ "pile_set_name": "DM Mathematics" }
-25*y**3 + 33*y**2 - 71*y - 6. Let h(b) = 10*k(b) + 13*l(b). Let r(p) = p**2 - p + 1. What is h(d) - 5*r(d)? -3*d**3 - 16*d Let r(m) = -12*m + 37. Let x(q) = q + 7. Determine -r(n) + 6*x(n). 18*n + 5 Suppose 4*a - 4 = -4*s, 16*a - 2*s - 1 = 17*a. Let j(f) = 19*f**2 - 8*f - 8. Let c(y) = 6*y**2 - 3*y - 3. Give a*j(r) - 8*c(r). 9*r**2 Let a(p) = 5 - 3*p - 2*p**3 - 5*p**2 - 5*p + 3*p. Let i(s) = s**3 + 2*s**2 + 2*s - 2. Let r be 2/3 - (-28)/3. Let u = -9732 + 9736. Determine r*i(f) + u*a(f). 2*f**3 Let t(l) = 53*l**2 + 12*l - 51. Let u(q) = -106*q**2 - 30*q + 101. Calculate -5*t(z) - 2*u(z). -53*z**2 + 53 Let g(o) = 226*o**3 + 8*o**2 - 7*o - 33. Let w(x) = -x**2 + x + 5. Calculate g(c) + 6*w(c). 226*c**3 + 2*c**2 - c - 3 Let y(o) = -3*o**2 - 5*o + 4. Let x(i) = -i**2 - 2*i + 2. Suppose -6*h = -41 + 11. Let p(a) = 7*a**2 + 41*a - 8. Let q be p(-6). Give h*x(m) + q*y(m). m**2 + 2 Let x(y) = 6*y**2 + 7. Let k = 5 + -1. Suppose -94 = -k*w + 46. Let l be (14/(-28))/((-8)/80). Let u(c) = -c**2 - 1. Determine l*x(b) + w*u(b). -5*b**2 Let a(x) = 15 - x - 4 - 10 - x. Let b(n) = 3*n - 1. Let q(l) = -l**2 - 7*l - 4. Let u be q(-7). Calculate u*b(h) - 5*a(h). -2*h - 1 Let u(j) = 4*j + 56. Let f(w) be the first derivative of -9*w**2/2 - 113*w + 307. What is -2*f(m) - 5*u(m)? -2*m - 54 Let x(u) = -1151*u - 18. Let c(l) = -286*l - 5. Give 11*c(z) - 3*x(z). 307*z - 1 Let o(v) = -v**2 - 11*v - 8. Let n(k) = k**2 - k - 2. Determine 22*n(s) - 2*o(s). 24*s**2 - 28 Let a(q) = -q**3 + 15*q**2 + 7*q - 7. Suppose -g - g = 14. Let d(b) = 5*b**2 - 216 - 208*b + 441 + 210*b - 227. What is g*d(m) + 2*a(m)? -2*m**3 - 5*m**2 Let s(u) = -317*u - 2. Let n(g) = 311*g + 1. Determine 4*n(a) + 3*s(a). 293*a - 2 Let r(l) = -223*l - 69. Let b(k) = -111*k - 37. Determine -11*b(f) + 6*r(f). -117*f - 7 Let m(f) = -4363 - 7*f + f + 14*f + 4368. Let h(k) = k**3 - 7*k - 4. What is 3*h(t) + 2*m(t)? 3*t**3 - 5*t - 2 Let f(r) = -r - 2. Let s(t) = -14*t - 37. Let z be s(-3). Let x(g) = -43*g - z + 22*g + 19*g. Suppose -c + m - 1 = 5*m, -3*m - 12 = -3*c. Give c*x(k) - 8*f(k). 2*k + 1 Let x(i) = -5*i - 249. Let k(o) = 4*o + 213. Let u(v) = -6*k(v) - 5*x(v). Let c(n) = -16. Give 5*c(m) - 2*u(m). -2*m - 14 Let w(j) = -3*j**3 - 10*j**2 + 3*j + 180. Let v(y) = 2*y**3 + 4*y**2 - y. Determine -3*v(l) - w(l). -3*l**3 - 2*l**2 - 180 Let k(c) = -17*c - 542. Let i be k(-32). Let r(s) = -7*s + 1. Let g(l) = -l. Determine i*r(n) - 6*g(n). -8*n + 2 Let t(j) = 169*j**2 + 59*j + 112. Let u(c) = 21*c**2 + 7*c + 14. Calculate -2*t(m) + 17*u(m). 19*m**2 + m + 14 Let l(v) = v**2 + 18*v - 1. Let j(u) = u**2 + 35*u + 17. What is j(q) - 2*l(q)? -q**2 - q + 19 Let z(b) = -7*b - 2. Let n(h) = h**2 - 2*h + 11. Let v be n(6). Let j(s) be the first derivative of -60*s**2 - 35*s + 7. Calculate v*z(k) - 2*j(k). -5*k Let v(i) = -i + 1. Let l be (4299/(-6))/((-5)/10) - 2. Let a(h) = -2865*h + l*h + 1432*h. Let f be -2 + (6/3)/2. Calculate f*a(y) + 3*v(y). -y + 3 Let p(n) = 2289*n**2 - 6104*n + 3052. Let f(r) = -2*r + 1. Give 3052*f(q) - p(q). -2289*q**2 Let l be (-20 - -21)*6/(-8)*-4. Let v(n) = 10*n. Let q(a) = 3*a. Give l*v(z) - 12*q(z). -6*z Let z(y) = 4*y**2 - 5*y - 3. Let o(v) = 5*v**2 - 6*v - 4. Let q = -28 - -33. Suppose -r = -5, p = q*p - 4*r + 48. Give p*z(g) + 6*o(g). 2*g**2 - g - 3 Let r(h) = 4*h**3 + 3*h**2 - 11*h + 2. Suppose 1188*d = 1084*d - 312. Let w(u) = 7*u**3 + 5*u**2 - 21*u + 5. What is d*w(a) + 5*r(a)? -a**3 + 8*a - 5 Let q(u) = 907*u**2 - 7*u + 2. Let g(t) = -3628*t**2 + 31*t - 9. Calculate 2*g(i) + 9*q(i). 907*i**2 - i Let f(n) = -4*n**3 + 2*n**2 + n - 1. Let w(r) be the second derivative of r**5/4 - r**4/4 - r**3/3 + r**2/2 - 9043*r. Determine 3*f(j) + 2*w(j). -2*j**3 - j - 1 Let t(g) = -g**2 - g + 8. Let d be t(-7). Suppose -124*f = -123*f + 36. Let w = f - d. Let m(c) = 4*c + 1. Let l(k) = 8*k + 2. What is w*l(i) + 5*m(i)? 4*i + 1 Let c(f) = -37*f**2 + 3*f + 394. Let b(u) = 14*u**2 - u + 1. What is -3*b(z) - c(z)? -5*z**2 - 397 Let o(l) = -4*l - 6. Let m(k) = -5*k - 7. Suppose 15*v + 219 = 4*y + 10*v, 4*y - 229 = -5*v. Suppose n - 50 = -y. What is n*o(u) + 5*m(u)? -u + 1 Let b(u) = 3*u**2 - 3. Let i = 2 - 11. Let k(z) = 7. Let g(y) = 3. Let c(s) = 1. Let l(j) = 3*c(j) - 2*g(j). Let d(n) = i*l(n) - 4*k(n). Give b(h) - 4*d(h). 3*h**2 + 1 Let m(g) = -g**3. Let p(d) = 14*d**3 - 1. Let w = 3726 - 3720. Determine w*m(t) + p(t). 8*t**3 - 1 Let h(u) = 13*u**2 - 6*u + 6. Let c(k) = 7 - 62*k**2 + 137*k**2 + 80*k - 61*k**2 - 87*k. Suppose -n = v + 7, 0 = -3*n - 3*v + 4*v - 21. What is n*h(j) + 6*c(j)? -7*j**2 Let a(m) = 100*m + 45. Let x(c) = 54*c + 6 - 45*c - 2. Let d(s) = 4*a(s) - 45*x(s). Let i(g) = -g. Determine 3*d(h) - 21*i(h). 6*h Let l(m) = -15*m**2 - 2*m - 2. Let b be 3/1 - (-11 + -27). Let h = 30 - b. Let w(u) = 8*u**2 + u + 1. Suppose -6*v - 29 = 7. Give h*w(o) + v*l(o). 2*o**2 + o + 1 Let y(w) = w. Let p(l) be the first derivative of 5*l**3/6 + 3*l**2/2 + 4*l - 39. Let g(r) be the first derivative of p(r). Determine -g(n) + 6*y(n). n - 3 Let d(r) = r**2 - 3. Let p(q) = -q**2 - 1. Suppose -4*j = 10 + 6. Let z be 1 + -5 - j*(-9)/(-12). Give z*d(f) + 3*p(f). -4*f**2 Let q(x) = 88*x + 3. Let h(t) = 89*t + 1. Calculate 6*h(s) - 5*q(s). 94*s - 9 Let s(i) = i**2 - 27*i + 116. Let c(g) = -g**2 + 13*g - 1. Determine -4*c(v) - 2*s(v). 2*v**2 + 2*v - 228 Let a(b) = -2*b**3 + 2*b**2 + b - 1. Let i(s) = 13*s**3 - s**2 - 4*s + 1. Determine -3*a(m) - i(m). -7*m**3 - 5*m**2 + m + 2 Let y(j) = j**2 - 8*j + 17. Let k(a) = a**2 - 7*a + 16. Let t be (-1030)/206*(0 - -1). Calculate t*y(q) + 6*k(q). q**2 - 2*q + 11 Let m(h) = h**2 + h - 3. Let n(d) = 15*d**2 + 4*d + 15. Give -5*m(f) - n(f). -20*f**2 - 9*f Let f(s) = 4*s**3 - 18*s**2 - 20*s - 59. Let p(y) = -2*y**3 + 8*y**2 + 9*y + 29. Determine 4*f(b) + 9*p(b). -2*b**3 + b + 25 Let g(u) = -19*u**3 - 8*u**2 - 16*u - 27. Let k(q) = -31*q**3 - 14*q**2 - 32*q - 56. Give -5*g(d) + 3*k(d). 2*d**3 - 2*d**2 - 16*d - 33 Let p(r) = -5*r**3 - 19*r**2 - 10*r - 6. Let m(w) = 2*w**3 + 10*w**2 + 6*w + 4. Give 5*m(k) + 3*p(k). -5*k**3 - 7*k**2 + 2 Let h(v) = v**2 + 94*v - 2690. Let j be h(23). Let y(k) = 3*k + 1. Let p(f) = -f + 1. What is j*y(a) - 3*p(a)? 6*a - 2 Let o(a) = 1 + 50*a + 11*a**2 - 4*a**2 - 51*a - 1. Let l(t) = -2*t - 23. Let r be l(-11). Let v(g) = -g**2 + g - 1. What is r*o(y) - v(y)? -6*y**2 + 1 Let g(q) = 4838*q**2 - 5*q - 5. Let a(n) = 2418*n**2 - 2*n - 2. What is 10*a(k) - 4*g(k)? 4828*k**2 Let i(f) = 247*f + 16. Let r(j) = 245*j + 19. Determine -5*i(h) + 4*r(h). -255*h - 4 Let z be 16/4 + (-2)/(-2). Let v(b) = -2*b**2 + 3*b + 0*b + z + 2*b. Let l(t) = -227*t + 449*t - t**2 + 95 + 103 - 219*t - 195. Determine 5*l(w) - 3*v(w). w**2 Let j(u) = 2*u**3 - u**2 - u - 1. Let v(t) = -16*t**3 + 6*t**2 + 6*t + 44. Determine 30*j(o) + 5*v(o). -20*o**3 + 190 Let q(u) = -11*u + 7. Let d(a) = -5*a + 3. Let i = 200 - 203. Let s be 3/((-1)/i*9/2). What is s*q(t) - 5*d(t)? 3*t - 1 Let h(r) = 11*r**3 - 8*r**2 + 3*r + 17. Let x(t) be the first derivative of 7*t**4/4 - 5*t**3/3 + t**2 + 11*t + 2866. Determine 5*h(a) - 8*x(a). -a**3 - a - 3 Let t(o) = -26*o**3 - 21*o**2 + 2426*o - 31. Let m(a) = -5*a**3 - 4*a**2 + 483*a - 6. What is 31*m(j) - 6*t(j)? j**3 + 2*j**2 + 417*j Let n = 587 - 585. Let s(i) = i**2 - 2. Let r be s(2). Let q(m) = -16 + 7*m**2 + 4*m**3 - n*m**r - 3*m**3 - 6*m**2. Let b(t) = 3. Determine 11*b(j) + 2*q(j). 2*j**3 - 2*j**2 + 1 Suppose f + 5*m = -135 + 108, -2*f = 2*m + 46. Let n(q) = q + 8. Let r(t) = -23 + 6 + 8 + 10. Give f*r(c) + 2*n(c). 2*c - 6 Let p(t) = 5*t**3 - 12*t**2 - 30*t - 1547. Let l(c) = c**3 - 2*c**2 - 5*c - 1. What is -6*l(u) + p(u)? -u**3 - 1541 Let s(c) = -c. Suppose -f - 13 + 33 = 0. Let m be 3 - (204/(-85) - (-4)/10). Let t be 5/2*2/m. Let a(r) = 24*r. What is f*s(k) + t*a(k)? 4*k Let p(r) = 0*r + 8*r - r**3 + 5 - 6*r**2 + 3*r**3. Let l be 250/(-50) + (-1)/(-2)*-2. Let n(m) = m**2 - m - 1. What is l*n(o) - p(o)? -2*o**3 - 2*o + 1 Let j(i) = -i - 1. Suppose 3*l - 2 = -5*m - 0, 2*m = 3*l + 26. Let p(g) = 28*g - 2. Give m*j(u) - p(u). -32*u - 2 Let m(d) = d**2 - 9*d + 39. Let o(a) = a**2 - a - 29. Calculate -m(c) + 4*o(c). 3*c**2 + 5*c - 155 Suppose 9*l = 6*l - 12, 2*l + 3 = f. Let c(v) = -7*v**2 - 6. Let r(n) = -1. Calculate f*r(i) + c(i). -7*i
{ "pile_set_name": "DM Mathematics" }
12 In base 11, what is 10 - 851259? -851249 In base 2, what is -10101011001010101010010 + 0? -10101011001010101010010 In base 13, what is -38955 + -b85? -3980a In base 15, what is -2d + -4486da? -448718 In base 12, what is -20952661 + 0? -20952661 In base 12, what is -7 + 3421b3? 3421a8 In base 10, what is 114 + -3106501? -3106387 In base 9, what is 556237376 - 5? 556237371 In base 13, what is -33ab97b - 13? -33ab991 In base 16, what is -3df3 - -436? -39bd In base 4, what is -1212 + 132000312? 131333100 In base 14, what is 3 - 2d4879? -2d4876 In base 15, what is 20068 + -a3? 1eeb5 In base 3, what is 10200001202110 + 20? 10200001202200 In base 15, what is 3da38 + c7? 3db10 In base 16, what is -b - c0c9d9? -c0c9e4 In base 11, what is -931 + -54925a? -54a090 In base 9, what is -7233252 - -15? -7233236 In base 3, what is 22122100200 - 122200? 22121201000 In base 8, what is -3 - -5332723? 5332720 In base 15, what is 1b - -17b544? 17b560 In base 6, what is 5 + 32551340? 32551345 In base 4, what is -10330 + 1210121301? 1210110311 In base 14, what is -109 + 4b664? 4b559 In base 10, what is -63143 + -4423? -67566 In base 2, what is 110011000 + 10000110100000111? 10000111010011111 In base 4, what is -1020230 - 112130? -1133020 In base 16, what is ad2a + ac3? b7ed In base 10, what is 5112 - 596? 4516 In base 10, what is 7 + -5837270? -5837263 In base 14, what is -555d3d0 + -21? -555d411 In base 6, what is -343 + 301004? 300221 In base 6, what is -402452431 + -21? -402452452 In base 2, what is 1010100011101 - -10010101111101011? 10100000100001000 In base 4, what is 110122212 + -20322? 110101230 In base 16, what is -61b6 - 1a02? -7bb8 In base 2, what is -10001100100100011 + 100111? -10001100011111100 In base 15, what is 495b + 11e9? 5b55 In base 11, what is 6470592 - 24? 6470569 In base 5, what is -123303 + -10143? -134001 In base 3, what is -1210 + 22012211002120? 22012211000210 In base 13, what is -1 + 58c7ab? 58c7aa In base 7, what is 14034025 + -141? 14033554 In base 6, what is 2 - -1515041053? 1515041055 In base 16, what is 1014 + 355? 1369 In base 2, what is 1000111001110110111100010000 - 1001? 1000111001110110111100000111 In base 9, what is 31 + -580240? -580208 In base 13, what is -280392 + -44? -280406 In base 2, what is 1 - 1111101010000111001110? -1111101010000111001101 In base 2, what is 0 + -100010100000000011? -100010100000000011 In base 14, what is -3 + -6dc1aa? -6dc1ad In base 2, what is 11 + -10100100101001110100? -10100100101001110001 In base 14, what is 12b064a90 - -5? 12b064a95 In base 4, what is -122220 + -12012? -200232 In base 8, what is 565603 + -116? 565465 In base 11, what is 387 - -2521a? 255a6 In base 3, what is -2001210202122 - -1202? -2001210200220 In base 4, what is -1100310101 + 101? -1100310000 In base 10, what is -98 + -171300? -171398 In base 3, what is -10222121002 - 1101? -10222122110 In base 11, what is 521606 - a? 5215a7 In base 11, what is -1a0655493 + -2? -1a0655495 In base 4, what is 3303000111 + -11? 3303000100 In base 12, what is 11 - 94346? -94335 In base 3, what is -201122011 - 1100021? -202222102 In base 8, what is -47 - -170? 121 In base 4, what is 1120 + 101111? 102231 In base 4, what is -1332211131 - 23? -1332211220 In base 9, what is 26 - -880304? 880331 In base 16, what is -a1 + -3bd2f? -3bdd0 In base 13, what is 64b8 - 286? 6232 In base 8, what is -5036 + 2643? -2173 In base 5, what is -1202 - 24130331? -24132033 In base 3, what is -212122220 + -111021? -220011011 In base 13, what is -2c3c - 1c06a? -21ca9 In base 7, what is 14546 - -1261? 16140 In base 9, what is 583 + -10552? -8858 In base 13, what is -60869 + -60? -608c9 In base 5, what is 31 - -402114224? 402114310 In base 5, what is 10024233 - 4213? 10020020 In base 9, what is 2458 + 861? 3430 In base 5, what is 4 + -223311323? -223311314 In base 11, what is 66052a - 15? 660515 In base 4, what is -100303312 + 20322? -100222330 In base 15, what is -19ebd - 315? -1a2d3 In base 5, what is 14 - -1310134? 1310203 In base 4, what is -3221231001 + -133? -3221231200 In base 8, what is -22 + 327330354? 327330332 In base 15, what is -2e - -74b673? 74b644 In base 9, what is 21 + -76068? -76047 In base 10, what is 211 + 695655? 695866 In base 12, what is -a4 - -11575? 11491 In base 8, what is 424636433 + -5? 424636426 In base 9, what is -836 - 255073? -256020 In base 5, what is 303413021 - -12213? 303430234 In base 4, what is 121131122201000 + 10? 121131122201010 In base 16, what is -1bdc1 - -18e? -1bc33 In base 15, what is 4 - -d0bdec? d0be01 In base 16, what is 8 - -152f47? 152f4f In base 6, what is 35540 + -1230052? -1150112 In base 12, what is -2 + 9613572a? 96135728 In base 9, what is -17 - 310463? -310481 In base 14, what is 36 - -624cd? 62525 In base 8, what is -2436 + -1234257? -1236715 In base 16, what is -201 - -130e? 110d In base 7, what is -3 + -50533320? -50533323 In base 14, what is -16 + -3123c6? -3123dc In base 10, what is -10041 - 68156? -78197 In base 10, what is 154196 - 976? 153220 In base 16, what is -14a5e43 - 2? -14a5e45 In base 5, what is -1 - -12132310401? 12132310400 In base 7, what is 45025 + 5240? 53265 In base 15, what is 2190c + -14? 218e8 In base 8, what is -261 + 17030551? 17030270 In base 9, what is 375 + -68211? -67725 In base 7, what is -34043145536 + -4? -34043145543 In base 2, what is -11100111 + -1010011001101111010001? -1010011001110010111000 In base 13, what is -12 - 355b6b? -355b80 In base 14, what is c - 474697? -474689 In base 4, what is -2023 - 220331030? -220333113 In base 11, what is -523a56 + 3? -523a53 In base 7, what is -1064 + 4662405? 4661311 In base 8, what is -1236 - -24210? 22752 In base 12, what is -32321 - -75? -32268 In base 9, what is 3 + -2301625? -2301622 In base 13, what is 17a0602 + 0? 17a0602 In base 10, what is 10396 - 63590? -53194 In base 11, what is -15549432 - 0? -15549432 In base 4, what is -1232301002 + 10? -1232300332 In base 10, what is -72 + -2177436? -2177508 In base 3, what is 1001011 + -102021200? -101020112 In base 6, what is 3122334243 + 2? 3122334245 In base 8, what is 514511754 + -3? 514511751 In base 10, what is -2361981 - -460? -2361521 In base 9, what is -41 + -27446358? -27446410 In base 8, what is -40002777 - -7? -40002770 In base 6, what is -5 + 15543554155? 15543554150 In base 4, what is -100130020120 + 11? -100130020103 In base 16, what is -249 + -4572c? -45975 In base 12, what is -36293 - 157? -3642a In base 15, what is 20a - 23a4? -2199 In base 14, what is 6 - -157802? 157808 In base 12, what is 7 - a0b4a56? -a0b4a4b In base 14, what is 12c892 - -1a6? 12ca58 In base 12, what is 335585a + 4? 3355862 In base 2, what is -101001011 + 1000101010011101? 1000100101010010 In base 11, what is 3515 - 2906? 70a In base 11, what is -957a07 - -1? -957a06 In base 8, what is -111 + -1137624? -1137735 In base 9, what is 245 - 2334475? -2334230 In base 7, what is -5614 - 560136? -566053 In base 4, what is -213221 + 102300? -110321 In base 15, what is -1a808 + d5? -1a723 In base 11, what is 973564a1 + 0? 973564a1 In base 13, what is 2791123 + -48? 27910a8 In base 15, what is 653e8 + -67? 65381 In base 13, what is 964a + 6088? 12705 In base 7, what is -42 - 30253301? -30253343 In base 3, what is -1110001 - -211001011? 202121010 In base 14, what is 4ad - 72559? -7208a In base 2, what is 110000 + -1100000011001001101? -1100000011000011101 In base 3, what is -1 + 220020200001220? 220020200001212 In base 3, what is 10 - -10022000011201? 10022000011211 In base 2, what is 11011 + 11010001010000? 11010001101011 In base 10, what is 4 - -3161582? 3161586 In base 7, what is 2146 - -11633? 14112 In base 9, what is 50728 + 754? 51583 In base 12, what is -27b - -157358? 157099 In base 3, what is -1220 + 20101212020? 20101210100 In base 13, what is 286c86 + -85? 286c01 In base 10, what is 73884259 - -1? 73884260 In base 3, what is -21121100 + -2010102? -100201202 In base 6, what is 11050510513 + -23? 11050510450 In base 13, what is 322c442 - 2? 322c440 In base 13, what is -3b0b25b + -2? -3b0b260 In base 14, what is a7c43 + -40? a7c03 In base 9, what is -8225 + -13418? -22644 In base 10, what is -677059 + 25? -677034 In base 10, what is -1 - -4707782? 4707781 In base 9, what is -36 + 7568420? 7568373 I
{ "pile_set_name": "DM Mathematics" }
lve -2*g - 3 = 3*j - q*j, 3*g = 2*j - 4 for g. -2 Let d(c) = c**3 - 14*c**2 + 18*c + 29. Let x be d(13). Suppose 89*t = x*t. Solve l - 3*a + 12 = -t*a, 0 = -l - 2*a + 13 for l. 3 Let a(c) = c**3 + 5*c**2 - 14*c - 5. Let n be a(-7). Let x be ((-12)/(-16))/((10/(-8))/n). Solve -5*j - 8 = -x*d, -j = -4*j + d - 4 for j. -1 Let s = 83 - 79. Suppose -28 = -2*n + s*n. Let a(l) = l**3 + 14*l**2 + 2. Let i be a(n). Solve 0*v - 3*r - 6 = -2*v, -r = i*v + 10 for v. -3 Let i = -10126 + 10140. Solve -x + i*z + 5 = 15*z, 0 = -2*x - 4*z + 16 for x. 2 Let f(l) = l**3 + 8*l**2 + 5*l + 24. Let w be f(-7). Let c = 52 - w. Solve -t + 10 = 2*h, 0 = -3*h + 2*t + c + 1 for h. 5 Let y be (-12 - -24)*((-8)/6 - -2). Suppose 4*j - x - 46 = 2*j, -4*j = -5*x - 80. Suppose -y*k + 13*k = j. Solve 3*d = r - 2 + k, d + r + 3 = 0 for d. 0 Let r be (-2)/5 + (-352)/(-55) + -1. Suppose 90 = 4*l + r*l. Suppose 5*o - z = -l + 35, 0 = 4*z. Solve o*p + 4 + 9 = v, 2*p + 4*v + 14 = 0 for p. -3 Let s = -50 - -44. Let v be 3/6*s*10/3. Let p be (2/(-5) - v/25)/(-2). Solve p = -2*q - 8, -2*n = -5*n + 2*q + 23 for n. 5 Let z be (-1)/((-3)/27) + -2. Suppose 288*q = 293*q + 4*s - 29, -3*q + 17 = 2*s. Solve -2*u = 0, z = -q*c + 2*u - 8 for c. -3 Let h(o) = 4*o + 20. Let d be h(-6). Let q be d + (9 - (18/(-3) - -4)). Solve -5*j - 47 = -5*r - 2, 3*j + r + q = 0 for j. -4 Suppose -210 = 19*t - 26*t. Suppose 311*n = 305*n + t. Solve -5*h = -n, -l + h + 3 = 2*h for l. 2 Let s = -19578 + 19583. Solve -2*o = -s*o + 6*r - 9, -o + 5*r = 6 for o. -1 Suppose -3*h + 3*j + 440 = h, 0 = h + 4*j - 91. Suppose -h = -12*c + 61. Solve 3*t + 9 = 3*z, 0*t + c = 2*t + 2*z for t. 2 Suppose 0*u - 2*u + 18 = 0. Suppose u*b = -b + 30. Suppose 2*s + 1 = b*s. Solve p + 2 = -5*n + s, -2*p = 2 for n. 0 Let w be 56/112*(-64)/(-2). Solve -34*z + 30*z + 3*f + w = 0, 0 = z + 4*f + 15 for z. 1 Let t(x) = -4*x**2 + x. Suppose -31*k - 5 = -36*k. Let q be t(k). Let j be ((-10)/q)/((-10)/(-15)). Solve 0 = -3*u + j*c + 25, 0 = -3*u - 3*c + 4*c + 17 for u. 5 Suppose 2*w - 7 - 36 = -3*t, -1 = w - 3*t. Suppose -4*v + w = 2*r, -7 + 2 = -5*v. Solve -4*b + 9*b + 17 = -g, 5 = -r*g - 5*b for g. 3 Suppose -157 = 4*o - 3*z - 139, -24 = -2*o - 4*z. Solve -4*a + 2*g + 28 = o, -a - g - 3 + 4 = 0 for a. 5 Suppose -1322*u + 1314*u = -16. Let w = -12 + 18. Solve 7*m - 2*m - 2*y = w, 2*m - u*y = 6 for m. 0 Suppose 7584 = -78*x + 66*x. Let h = x + 635. Solve -k = -5, -h*v - 5 = 5*k - 24 for v. -2 Suppose -3*p = -5*n + 2426 - 665, -2*p - 2*n = 1190. Let c = -592 - p. Solve -3*j + 4*a - 13 = c, -5 = -j - 2*a + 4 for j. 1 Suppose 0 = 2*l - 3*l - 4*v + 6, 5*v - 5 = 0. Solve -z - 5 = -2*f, z = -l*z + f - 10 for z. -3 Suppose -18*j = -376 - 164. Solve j = 5*t + y, -4*y = 3*t - 7*t for t. 5 Let c(q) = q**3 - 14*q**2 - 33*q + 21. Let z(g) = g**3 - 10*g**2 - 10*g + 5. Let v be z(11). Let w be c(v). Solve -4*t - 2*a - 2*a = -8, -w*t + 18 = -3*a for t. 3 Let r be ((-12)/10)/(9/(-75)). Suppose r*i - 130 = -50. Solve 0*x = x + t + 2, 0 = 4*x + t + i for x. -2 Suppose -90 = -3*j - 4*r, -406*j - 46 = -408*j + 2*r. Solve -b = t - 8, j = b + b + 4*t for b. 3 Let o be 2/5 + 12/(-5) + -11 + 13. Solve -4*v = 2*n + 16, o = -5*n - 3*v + 55 - 60 for n. 2 Let i(g) = g**2 + 22*g + 38. Let w be i(-21). Suppose 15*z + 8 = w*z. Solve -4*d = -2*n - 7 + 19, -z = -d + 4*n for d. -4 Suppose -2837*g - 114 = -2856*g. Solve 4*f = o + g*f - 3, 5*f = -2*o + 10 for o. -5 Suppose 21*s - 45 = 12*s. Let k = -13 + 24. Suppose p + k = 2*j, -22 - 8 = -s*j + 3*p. Solve -15 = -j*y, a - y + 18 = 3*y for a. 2 Let o = -77 - -144. Let m = o - 41. Let b be (-3 - 1) + (-5)/(15/(-48)). Solve -4*x - m = -3*w, -w + x + b = -x for w. 2 Let v be -2 + 1199 + -3*16/12. Suppose 5*a - 1288 = -v. Solve f - a = -4*y, -f - f + 6 = 0 for y. 4 Let i = 2941 + -2938. Solve -2*t + 4 = 4*r, 3*r - i*t - 19 = -25 for r. 0 Let z = -1590 + 1605. Suppose m - 9 = -2*m. Suppose 0 = 5*o + 20, -7 - 11 = -2*w + m*o. Solve -w*v - 2*q - 14 = 0, 2*v + 5 + z = -4*q for v. -2 Let k(a) = 4*a**2 - 19*a - 3. Suppose -12*r + 51 = -9. Let b be k(r). Solve -q + b*h = 1, 3 = -4*q + 2*q + 3*h for q. -3 Let d be -1 + 2/(-3)*(15 - 24) + 0. Solve 3*k - 2*a - 15 = 0, -77*k + d*a + 30 = -72*k for k. 3 Let f be (-5)/(-15)*1*9. Let a be (-666)/(-14) + (-88)/154. Suppose 2*v = -8, -5*l + a = f*v - 6. Solve -4*o = -z - z + 2, 0 = -4*o + 5*z + l for o. -3 Let p = -271 - -275. Let v be ((-4)/(-8)*p)/((-8)/(-16)). Solve j + 4*a = 21, a + v = j + 3 for j. 5 Suppose -l - l = 3*h - 5, 0 = -2*h + 2*l + 10. Solve -d + 11 = -h*r + 1, 0 = 3*r + 12 for d. -2 Let w(k) = -2*k**3 + 23*k**2 + 11*k + 12. Let v be w(12). Solve -2*u + 5*i + 15 = v, 4*u - 3*u + 3*i + 20 = 0 for u. -5 Suppose 0 = -2*a - 5*g + 15, g + 50 = -a + 59. Solve 5*v - 4*u = -32, -4*v + 6*u - 8*u - a = 0 for v. -4 Suppose 0*z + z = 5*s - 39, -5*s = 4*z + 206. Let o = z - -68. Let d = o - 15. Solve 4*x - x - w = 4, -x - 5*w - d = 0 for x. 1 Suppose -q = -2 - 0. Suppose -2*g + q = 0, 5*n - 4*g = 10 + 11. Suppose -233 = 111*o - 677. Solve -n*w - j = 4*j, -j = 3*w + o for w. -2 Let m be 8/3*(-204)/8. Let y = -64 - m. Suppose 5*w - 120 = 5*k, 4*w - k - 122 + 20 = 0. Solve -f - 2 = -i, 2*i + w = -8*f + y*f for f. -5 Let i be (-18)/(-30)*13 - 1/(-5). Solve -l + i - 4 = 2*a, -3*a + 5*l - 7 = 0 for a. 1 Suppose -1057 - 493 = -62*x. Solve -q + 4*z = x, 0 = -3*q - 2*q - 5*z for q. -5 Let n(r) = r**3 - 5*r**2 - r + 10. Let a be n(5). Suppose -10*b = -a*b - 7*b. Solve -5*j = 2*z + 20, -z = -b*z - 2*j - 8 for z. 0 Suppose -18 = -6*q, -3*q + 5 = -z + 2*q. Let k(x) = -x**3 + 12*x**2 - 18*x - 17. Let s be k(z). Solve -15 = -5*l + 2*t - t, l = 4*t + s for l. 3 Suppose 144 + 8 = 2*c. Suppose 0 = 3*q - c + 22. Suppose y + 2*p = 4*p + 18, q = 2*y + 2*p. Solve 3*b + d = y, 35 - 8 = 3*b - 4*d for b. 5 Let q = -4474 - -4478. Solve -5*t + 20 = 4*y, -4*y + 19 + 1 = -q*t for t. 0 Suppose 35*v + 8*v = 129. Solve -v*z = 2*i - 0*z - 25, 3*z = 5*i - 10 for i. 5 Suppose 5*o + 3 = 4*m, 38*o - 3*m = 40*o - 8. Solve -3 = -3*n, -h + 8 = 2*n + o for h. 5 Suppose 6*b - 27 = -3*b. Let c = 111 - 76. Let q be c/5*12/21. Solve -b*v + q*a = 21, -2*v + 0*v - 5*a = -9 for v. -3 Let d be 65/9 + -1 + 46*58/(-12006). Suppose 6 = -4*u + 26. Solve 4*w = k + 2*w - u, -3*k = w + d for k. -1 Suppose 5*w - 24 = 4*w + 5*t, -2*t = -4*w + 24. Solve -a - 2*a = -5*s - 15, 25 = w*s + 5*a for s. 0 Let j be 0/((2 - 2) + -1). Suppose j = 11*x + 7 + 26. Let t be ((-2)/(-6))/(x/(-27)). Solve 2*f = -t*y + 3, -3*y - f + 5*f + 21 = 0 for y. 3 Let c be 7/(21/(-2))*216/3. Let f be 93/21 - c/(-112). Solve 0 = -3*a + 5*k + 7 + 15, 2*a + f*k = 0 for a. 4 Suppose 8*d - 474 = -210. Solve -c = 4*s + 11 + 5, -2*c + 5*s = -d for c. 4 Let c(f) be the first derivative of -4*f**3/3 + 8*f**2 + f - 19. Let j be c(3). Suppose -5*a - j = -43. Solve -4*q + 7 = o - a, o = -5*q + 15 for o. 5 Let b be (-3)/(-12) + 15/(-12) - -3. Let w be 2/10 - (-48)/10. Solve 5 = -4*s - 7, -b*s - 11 = w*d for d. -1 Let z = 1027 + -1008. Let u(a) = a + 4. Let b be u(3). Solve -4*g + b + 9 = -3*x, -z = 5*x + g for x. -4 Let i(y) = -2*y**2 + 14*y - 22. Let x be i(4). Let n be 1/(-2) + 3/x. Solve -b = -2 - 2, -3*g = -2*b - n for g. 3 Suppose -20*o + 81 = 1. Solve 2*s - o*v = -8 + 28, -4*s - 4*v - 20 = 0 for s. 0 Let z be (70/(-21) + 13/39)/(-1). Solve z*v - 3*a + 4 = 22, -5*v + 24 = a for v. 5 Suppose 4*z = 3*c - 10 - 185, 195 = 3*c + 4*z. Let f = 83 - c. Solve 5*h - 26 = t, -f = 2*t - 3*h - 1 for t. -1 Suppose -3*f + 1098*p = 1100*p - 10, -25 = f - 5*p. Solve -r + 2*l - 7*l - 23 = f, 5*r = 2*l - 7 for r. -3 Let i = 35917 + -35913. Solve 20*a - i*t - 2 = 15*a, 2*a + t = -7 for a. -2 Suppose -3*v = v - 204. Let j = -47 + v. Suppose -x + 0*u + 6 = u, -3*x - 3 = -j*u. Solve -2*l + x*c + 14 = 0, -5*l - 3*c + 12 = c for l. 4 Let i be (-40)/(-8) - (1 + -1). Let j = -844 + 848. Solve i*c = -0*c + 5, -1 = -b + j*c for b. 5 Suppose 5*r = -98 + 68, -6 = -4*s - 3*r. Solve -3*d - 5 = 3*k + 13, 0 = -k - s*d - 36 for k. 0 Let g = -2728 + 2738. Solve -4*i - 10 = -6*i + 2*l, g = -i - 2*l for i. 0 Let o be (1 - -1) + (-6 - 1). Let p be 0/((5 + 0)/o). Solve p = -3*s + 3*t - 0*t + 9, 9 = 3*s + 5*t for s. 3 Let h(t) = -t**2 - 9*t + 3. Let a be h(-6). Let i = 1908 + -1905. Solve -4*o - a = -2*b - i*b, 5*b - 1 = -o for
{ "pile_set_name": "DM Mathematics" }
tween 3:13 PM and 9:27 PM? 374 How many minutes are there between 4:40 AM and 6:43 AM? 123 What is 156 minutes before 4:30 AM? 1:54 AM How many minutes are there between 1:17 AM and 1:04 PM? 707 How many minutes are there between 5:24 PM and 12:34 AM? 430 How many minutes are there between 2:18 AM and 4:13 AM? 115 How many minutes are there between 6:14 AM and 5:54 PM? 700 What is 137 minutes after 2:13 AM? 4:30 AM What is 609 minutes before 2:13 PM? 4:04 AM How many minutes are there between 7:39 PM and 11:10 PM? 211 What is 20 minutes before 11:01 PM? 10:41 PM What is 321 minutes before 7:43 PM? 2:22 PM What is 251 minutes before 12:32 PM? 8:21 AM What is 609 minutes after 12:04 PM? 10:13 PM What is 128 minutes after 12:19 AM? 2:27 AM What is 581 minutes after 11:56 PM? 9:37 AM How many minutes are there between 8:14 AM and 7:56 PM? 702 How many minutes are there between 3:18 AM and 12:03 PM? 525 How many minutes are there between 2:47 PM and 5:20 PM? 153 How many minutes are there between 7:44 AM and 3:38 PM? 474 What is 488 minutes after 5:20 AM? 1:28 PM How many minutes are there between 11:36 PM and 10:20 AM? 644 What is 373 minutes before 6:53 AM? 12:40 AM What is 388 minutes before 7:09 AM? 12:41 AM What is 620 minutes after 7:05 PM? 5:25 AM What is 408 minutes after 1:28 PM? 8:16 PM How many minutes are there between 4:21 AM and 3:02 PM? 641 How many minutes are there between 6:38 AM and 8:35 AM? 117 How many minutes are there between 12:05 AM and 11:07 AM? 662 How many minutes are there between 2:08 AM and 6:59 AM? 291 What is 48 minutes after 12:36 PM? 1:24 PM How many minutes are there between 2:33 AM and 10:20 AM? 467 How many minutes are there between 5:51 PM and 1:28 AM? 457 How many minutes are there between 12:17 AM and 1:46 AM? 89 How many minutes are there between 1:16 PM and 3:45 PM? 149 How many minutes are there between 3:32 PM and 3:04 AM? 692 How many minutes are there between 2:19 AM and 8:31 AM? 372 How many minutes are there between 5:34 AM and 1:28 PM? 474 How many minutes are there between 1:46 AM and 8:40 AM? 414 What is 685 minutes before 2:54 PM? 3:29 AM How many minutes are there between 10:34 AM and 12:31 PM? 117 What is 665 minutes before 3:45 PM? 4:40 AM How many minutes are there between 2:35 AM and 1:53 PM? 678 What is 681 minutes after 10:39 PM? 10:00 AM How many minutes are there between 2:14 AM and 1:01 PM? 647 How many minutes are there between 7:55 AM and 1:27 PM? 332 What is 386 minutes after 6:29 AM? 12:55 PM What is 130 minutes before 12:54 PM? 10:44 AM What is 690 minutes after 3:04 PM? 2:34 AM How many minutes are there between 7:17 PM and 1:59 AM? 402 How many minutes are there between 4:36 AM and 5:09 AM? 33 How many minutes are there between 6:19 AM and 3:11 PM? 532 What is 173 minutes after 10:43 PM? 1:36 AM What is 320 minutes before 3:32 AM? 10:12 PM What is 539 minutes before 3:27 PM? 6:28 AM How many minutes are there between 6:06 AM and 6:46 AM? 40 What is 591 minutes before 8:00 AM? 10:09 PM What is 371 minutes before 6:53 AM? 12:42 AM What is 670 minutes after 8:53 PM? 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547 How many minutes are there between 6:31 AM and 11:10 AM? 279 What is 630 minutes after 2:50 AM? 1:20 PM What is 321 minutes before 9:37 PM? 4:16 PM How many minutes are there between 1:20 PM and 3:53 PM? 153 What is 304 minutes before 4:13 PM? 11:09 AM What is 657 minutes before 7:45 AM? 8:48 PM How many minutes are there between 11:10 AM and 11:45 AM? 35 What is 160 minutes before 3:22 AM? 12:42 AM What is 10 minutes before 6:13 AM? 6:03 AM What is 317 minutes after 1:55 PM? 7:12 PM What is 322 minutes before 4:48 AM? 11:26 PM How many minutes are there between 10:14 AM and 6:59 PM? 525 What is 505 minutes before 5:21 AM? 8:56 PM How many minutes are there between 11:54 PM and 8:31 AM? 517 How many minutes are there between 3:03 AM and 5:25 AM? 142 How many minutes are there between 4:39 AM and 10:16 AM? 337 What is 144 minutes before 12:55 PM? 10:31 AM What is 342 minutes before 2:01 PM? 8:19 AM How many minutes are there between 3:22 AM and 6:17 AM? 175 How many minutes are there between 9:01 AM and 11:47 AM? 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25 What is 53 minutes before 8:43 AM? 7:50 AM How many minutes are there between 5:32 AM and 4:41 PM? 669 How many minutes are there between 2:04 PM and 9:42 PM? 458 What is 25 minutes after 12:46 AM? 1:11 AM What is 715 minutes after 3:15 PM? 3:10 AM How many minutes are there between 4:24 AM and 8:30 AM? 246 What is 661 minutes after 11:40 PM? 10:41 AM How many minutes are there between 6:32 PM and 10:15 PM? 223 What is 111 minutes before 11:38 PM? 9:47 PM How many minutes are there between 2:53 AM and 5:31 AM? 158 How many minutes are there between 5:41 PM and 5:29 AM? 708 How many minutes are there between 12:28 PM and 2:25 PM? 117 How many minutes are there between 4:03 AM and 6:43 AM? 160 What is 323 minutes before 4:10 AM? 10:47 PM What is 309 minutes after 2:41 PM? 7:50 PM How many minutes are there between 4:07 AM and 3:17 PM? 670 What is 443 minutes after 8:48 AM? 4:11 PM What is 243 minutes before 9:27 AM? 5:24 AM What is 104 minutes before 12:28 AM? 10:44 PM What is 609 minutes before 6:20 PM? 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{ "pile_set_name": "DM Mathematics" }
and (-3*c - 3*c + 0*c)*(1 - 1 - 14*c)*(0 - 1 - 1) + 3*c - 3*c - 3*c**2. -171*c**2 Expand (-3*m + 6*m + m)*(0*m + 3*m + m)*(0*m + 108 - 2*m - 148). -32*m**3 - 640*m**2 Expand (-2*i**2 + 0*i**2 + 7*i**2)*(2 + 19 + 4)*(0 + 0 - 2*i)*(2 - 1 + 0). -250*i**3 Expand (-1 - 3 - 1)*((0 - c + 0)*(0 + 1 - 2) - 4*c - 3*c - 10*c)*(-1 + 1 + c) + 4*c**2 - 3*c**2 - 2*c**2. 79*c**2 Expand (-3*h + 4*h - 2*h)*(-2*h + 5*h - 8*h - 15*h - 9). 20*h**2 + 9*h Expand (-2*u + 3 - 3)*(1 - 3 + 4) + (-1 - 3 + 3)*(-10 + 10 - 33*u) + u + u - u. 30*u Expand (-2*u + 2*u - 3*u)*(2 + 3 - 1) + 0*u + 0*u + 4*u. -8*u Expand (-2*r + 3*r - 2*r + (3*r - 4*r + 3*r)*(-4 - 8 - 1))*(3 - 3 + 5*r**3 + (-2 - 3 + 4)*(2*r - r**3 - 2*r)). -162*r**4 Expand (-3*n + 0*n + n)*(1 + 28*n**3 + 0*n**3 - 51*n**3). 46*n**4 - 2*n Expand (3 - 2 - 4 + (0 - 7 + 2)*(1 + 2 + 0))*(-22*v**4 + 48*v**4 - 20*v**4). -108*v**4 Expand ((-2 + 1 + 2)*(-1 + 3 + 0) - 4 + 1 + 5 + 0 - 2 + 1 + 4 + 0 + 4 + 12 - 7 - 17)*(-3*c + c + c). c Expand (3*u**4 + 0*u**4 - 2*u**4)*(-3*u - 2*u + 3*u) + (3*u**2 - u**5 - 3*u**2)*(312 - 91 + 2051). -2274*u**5 Expand (-5806 - 22*j**3 + 118*j**3 + 5810)*(0*j**2 - 4*j**2 + 2*j**2). -192*j**5 - 8*j**2 Expand 3*o - o + 3*o + (-4*o + 0*o + 2*o)*(4 - 3 - 2) + 2*o - 2*o + 2*o + (-32*o + 15*o - 25 + 18*o)*(-3 + 1 + 3). 10*o - 25 Expand -52*q**2 - 31*q**2 + 50*q**2 + (q + 0*q + q)*(2*q + 2 - 2) + (-2*q - 1 + 1)*(0*q + 0*q - q) + 4*q**2 - 5*q**2 + 3*q**2 - q**2 + 3*q - 3*q. -26*q**2 Expand (-2*u**2 - u + u)*(-11*u - 13*u - 20*u) + 2*u + 0*u**3 + u**3 - 4*u**3. 85*u**3 + 2*u Expand (-4*d + 0 + 2*d + 2)*(348*d + 116*d + 415*d - 174*d). -1410*d**2 + 1410*d Expand -4*z**5 + 0*z**5 + 2*z**5 - 4*z**5 - 9*z**3 + 9*z**3 + (3*z**2 - 3*z**2 + z**2)*(-5*z**3 - 2*z**3 + 4*z**3) - 83*z**2 + 30*z**5 + 83*z**2. 21*z**5 Expand -c**2 - c + c + (c**2 - c**2 - 2*c**2)*(0 - 1 + 0) + 48*c**2 - 38*c**2 - 54*c**2. -43*c**2 Expand (25 - 25 - 18*h)*(0 - 2 + 0)*(h - 4*h**3 - h). -144*h**4 Expand 2*v + v + 4*v + (3 + 1 + 2)*(5*v + 0*v + 0*v). 37*v Expand (0 + 1 + 1)*(2 + u - 2) - 2*u + 7 + u - 5. u + 2 Expand 22*i - 2*i - 4*i + (2*i + 0*i - 5*i)*(0 + 0 - 1) - i + 0*i - 4*i. 14*i Expand (10 + 3*x**2 - 16 - 2)*(2 + 0 + 4). 18*x**2 - 48 Expand (c**4 - 3*c**4 - c**5 + 13*c**2 + 3*c**5)*(3 - 5 + 10). 16*c**5 - 16*c**4 + 104*c**2 Expand (-5*y + y + 3*y)*(-12*y**2 + 0*y**2 + y**2)*(4 + y + 2*y**2 + 0*y**2 - 12). 22*y**5 + 11*y**4 - 88*y**3 Expand (2*w + w**2 - 2*w + 5*w**2 - 4*w + 4*w + (-2 - 1 + 1)*(-w**2 - 4*w**2 + 4*w**2) + 2*w**2 + 2*w**2 + w**2)*(-10*w + 10*w + 5*w**3). 65*w**5 Expand (3*k**2 - 4*k**2 + 3*k**2)*(k + 6*k - k)*(0*k + 3*k - 4*k) + (5*k**2 - 3*k**2 - 4*k**2)*(519 - 519 + 28*k**2) - 6*k**4 - 6*k**2 + 6*k**2. -74*k**4 Expand (-7*h + 4*h - 5*h)*(2 - 2 + 2*h**2)*(-1 - 1 + 4)*(0 - 2 + 4) + (-h - 3*h + 3*h)*(-3*h**2 + 479 - 479). -61*h**3 Expand -54 + 42 + 9 - 96*z + (6 - 2 - 2)*(-2*z + 2*z - z). -98*z - 3 Expand (2*i - 4*i + i + (-3*i + 4*i - 4*i)*(-1 + 5 - 3 - 6 + 7 - 6 + (2 - 1 - 2)*(6 - 1 - 3) - 6 + 1 + 4))*(-i + 4*i - 5*i). -40*i**2 Expand (-17*d - 65*d + 2*d)*(8*d**4 + 4*d - 4*d). -640*d**5 Expand (3 - 22 - 7 - 8)*(-95 + 4*n + 95). -136*n Expand (111 - 81 + 126)*(2*v**2 + 0*v**2 - 3*v**2). -156*v**2 Expand -5*d + 5*d + 2*d**2 + 288*d - 288*d - 40*d**2 + (0*d + 4*d - 2*d)*(-3*d - 1 + 1) + 0*d**2 - 2*d**2 + 0*d**2 + 4*d**2 - 6*d**2 + 0*d**2. -48*d**2 Expand (4*r - 3*r - 3*r)*((-1 + 1 + 2)*(-4 + 1 + 4) + 4 + 1 - 4). -6*r Expand (-19*d + 19*d + 6*d**2)*(0*d + 2*d + 0*d + (2 - 3 - 1)*(-3*d + 0*d + 2*d) + 0*d + d + d). 36*d**3 Expand (190*j + 37*j + 87*j)*(0*j**3 - j**3 - j**3) + 2*j**4 + 0*j**4 + 0*j**4. -626*j**4 Expand (0 - 2*z**3 + 0)*(1 - 4 + 57)*(2*z**2 + 3*z**2 - 4*z**2). -108*z**5 Expand -3*s**2 + 3*s**2 + s**3 + (5*s**2 - 4*s**2 - 2*s**2)*(-3*s + 3*s - s) - 11 + 11 + 18*s**3. 20*s**3 Expand (-4*z + 5*z + z + (2*z + 0*z - 4*z)*(0 + 5 - 3))*(-13*z - 16*z - 35*z). 128*z**2 Expand 3*s**3 + 0*s**3 + s**3 + (1 + 0 - 3)*(-6*s**3 + 0*s**3 - 2*s**3). 20*s**3 Expand (-52 + 5 + 0)*(w**2 - 2*w**2 + 2*w**2). -47*w**2 Expand (-8*h + 19*h + 14*h)*(-3 + 3 - 1) - h - 7*h - 5*h. -38*h Expand (i + 1 - 1)*(-8*i + 1 + 11*i - 6*i). -3*i**2 + i Expand (-2*p - p + 4*p)*(-3*p**2 - 2*p**4 + 3*p**2) + (-p**3 - p**3 + 0*p**3)*(2 - 2 + 3*p)*(-20*p + 44*p - 17*p - 2). -44*p**5 + 12*p**4 Expand (-54 + 21 - l + 19)*(1 + 0 + 1). -2*l - 28 Expand (-1 + 0 + 3)*(62 - 7*u - 60 + 2*u). -10*u + 4 Expand (-2 - 1 + 0)*(2*x + 2 - 2) + (4 - 2*x - 4)*(0 - 5 + 1). 2*x Expand (4 - 1 - 1 + (-2 + 4 + 0)*(1 + 1 - 4) - 6 + 4 + 3 + 1 - 2 + 0)*(-3 - l**3 + 3) - 59*l**3 + 90*l**3 - 62*l**3. -29*l**3 Expand (-3*o**3 + 0*o**3 + 2*o**3)*(-15*o**2 + 752 - 752) - 4*o**5 - 4*o**5 + 7*o**5 + 6*o**5. 20*o**5 Expand 5*l**3 - 5*l**3 - 5*l**4 + (1 + 2 - 5)*(-l**4 - 3*l**4 + 2*l**4) + 3*l**4 - 76*l**4 + 12*l**4. -62*l**4 Expand 3*q**3 + 0*q + 0*q - 4*q**3 + 2*q**3 - q**3 + (2*q - 1 + 1)*(-2*q**2 - 3 + 3) + (q**2 + 0*q**2 + q**2)*(-2*q + 2*q + 2*q) + 7*q - 7*q - 5*q**3. -5*q**3 Expand (2*a**3 - 17*a**3 + 3*a**3)*(26*a**2 + 188*a - 188*a). -312*a**5 Expand 0 + 2*v**2 + 0 + (9*v - 2*v + 2*v)*(-1 + 6 - 3)*(-29*v - 16*v + 7*v). -682*v**2 Expand -2*t**4 + t**4 + 3*t**4 + (-t**3 - 2 + 2)*(t + 2*t + 0*t) - 1 + 1 - t**4 - 2*t**4 - 3*t**4 - 4*t**4. -11*t**4 Expand (0*u**2 + u**2 - 2*u**2)*(49 + 35 + 355) + (6*u - 2*u - 2*u)*(-4*u - 3*u + 6*u). -441*u**2 Expand 5*h**2 - 7*h**2 - 2*h**2 + (656 + 100*h - 656)*(0*h + 0*h - 2*h). -204*h**2 Expand (-6 + 2 + 2)*(-v - 4*v + 6*v) - 264*v - 79*v - 227*v - 60*v. -632*v Expand (-1 + 1 - 1)*(t**2 - 1 + 1)*(14*t + 8*t + 5 - 21*t). -t**3 - 5*t**2 Expand (2*q + 2*q - 11*q)*(-2*q + 44 + 8*q**3 - 44). -56*q**4 + 14*q**2 Expand (-12*z - 14 + 14)*(0*z + 4*z - 3*z - z + 0*z - z - z - 2 + 2 - z - z + 3*z + (-2*z + z + 3*z)*(3 + 0 - 1) + 3*z + 0 + 0 - 2*z - 3*z + 7*z). -96*z**2 Expand (-3 + 5 - 3)*(-7*o + 2*o + 3*o) - 12 + 772*o + 38 - 12 - 14. 774*o Expand (-4 + 4*v + 4)*(259*v - 138*v + 109*v). 920*v**2 Expand (5 + 2 - 5)*(-2*w - w**5 + 2*w) - 561*w**5 - 2532 + 2532 - 54*w**5. -617*w**5 Expand (38*i**2 - 104*i + 106*i + 53*i**2)*(4 - 1 - 5). -182*i**2 - 4*i Expand (6*q**4 + 0*q**4 + 2*q**4)*(0 + 1 - 3) + (2*q**3 + 0*q**3 - q**3)*(0*q + 2*q - q) + (-4*q**2 + 4*q**2 - q**3)*(q + 2*q - q). -17*q**4 Expand 440 + 26*n - 440 + 3*n + 3*n - 4*n - 5*n + n + 3*n + (3*n - 2*n - 3*n)*(4 - 5 + 2) + n - n - 2*n. 23*n Expand 3961*g**4 + 3*g**3 - g**3 - 3870*g**4 + 2*g**4 + g - g + (g**2 - g**2 - 2*g**3)*(0 - 2*g + 0). 97*g**4 + 2*g**3 Expand -31*d**2 - 25*d**2 + 23*d**2 - d + (0 + 2 + 0)*(8*d - 8*d - 2*d**2). -37*d**2 - d Expand (11626 - 11626 - 324*p)*(-4*p + 0*p + 2*p). 648*p**2 Expand 3*v**2 - 2*v**2 + 2*v**2 + v**2 + 2*v**2 - 2*v**2 + (-v - 2*v + 2*v)*(3 - 3 - 2*v) + 70*v**2 + 4*v + 110*v**2 - 4*v. 186*v**2 Expand (3 - z**2 - 3)*(-1 + 2 + 0) + 0*z - 2*z**2 + 0*z + (-z - 1 + 5 + 1)*(4*z - 5*z - 3*z). z**2 - 20*z Expand 0*q**3 + 3*q**3 - 2*q**3 + (-q + 3*q - q)*(3*q - 3*q - q**2) + 0*q - q**3 + 0*q + 73*q**3 - 144*q**3 - 71*q + 74*q**3. 2*q**3 - 71*q Expand (0*s + 3*s - 4*s - 1)*(-1659 - 982 + 1062 - 986). 2565*s + 2565 Expand -h + 0 + 0 - 4*h + h + 2*h + 0*h - h - h + (-2 + 2 - h)*(1 - 1 - 1) - 1 + h + 1 + 28*h + 37*h + 17*h. 80*h Expand (2 + 2 - 1)*(-3 + 3 + 3)*(-8 - 17*o**2 + 8). -153*o**2 Expand (1 - 1 + m**2)*(2 - 2 + 5*m)*(3 - 1 - 3)*(-47*m - 26*m - 11*m). 420*m**4 Expand (d + 0*d + 4*d)*(-2*d + 2*d + 5*d)*((-3 - 1 + 5)*(-2*d + d + 2*d) + d + d + 0*d - 2 - d + 2 + 4*d - 5*d - 3*d). -50*d**3 Expand (7*i - i - 3*i)*(-i + 0*i + 0*i)*(26 + 3 + 34). -189*i**2 Expand -2*v + v**2 + 2*v + (-v**2 - 6*v**2 + 6*v**2)*(1 - 3 + 5) + (0*v + 2*v**2 + 0*v)*(3 + 0 - 1). 2*v**2 Expand ((-2*z**2 + 2*z**2 + 2*z**2)*(-1 + 1 + 2) + 2 - 2 - 2*z**2 + 292*z - 292*z - 79*z**2)*(-3 + 3 + 2*z). -154*z**3 Expand (16 + 26 + 3 + (3 - 1 - 3)*(3 + 1 - 5))*(k - 5*k + k). -138*k Expand ((2*h - 5*h + 2*h)*(2 - 2 - 1) + 7 - 16 + h + 19)*(-h**4 + h - h). -2*h**5 - 10*h**4 Expand (-f + 3*f + 0*f)*(-1893*f - 5 + 1895*f + 1). 4*f**2 - 8*f Expand -4*t - t - t + (4 - 4 - t)*(0 - 3 + 2) + 2*t - 4*t + 4*t + (-3 + 0 + 0)*(4*t + 2*t - 4*t). -9*t Expand (151 + 59 + 153 - 94 + 23)*(-4*t**4 + 0*t**4 + 0*t**4). -1168*t**4 Expand (5*a - 2*a - a)*(-2 + 2 + 3*a) + (4*a**2 - 8*a + 10*a - 3*a**2)*(1 + 1 - 3 + 0 + 0 -
{ "pile_set_name": "DM Mathematics" }
376 Calculate the least common multiple of 60378 and 10. 301890 Calculate the least common multiple of 2 and 92. 92 What is the smallest common multiple of 1624 and 1? 1624 What is the common denominator of 101/8 and -57/52? 104 What is the smallest common multiple of 72 and 126? 504 Calculate the common denominator of 55/32 and -3/10. 160 Calculate the common denominator of 107/230 and 61/6. 690 Find the common denominator of -6/2167 and 3/77. 15169 Calculate the common denominator of 56/415 and -33. 415 Find the common denominator of -115/392 and -55/294. 1176 Calculate the least common multiple of 337 and 2. 674 What is the common denominator of 47/72 and 97/48? 144 Calculate the least common multiple of 594 and 90. 2970 What is the least common multiple of 4266 and 14? 29862 Calculate the smallest common multiple of 20 and 14. 140 Calculate the lowest common multiple of 392 and 6. 1176 Calculate the smallest common multiple of 90 and 72. 360 What is the smallest common multiple of 90 and 42? 630 Find the common denominator of 95/1122 and -41/60. 11220 What is the least common multiple of 3 and 441? 441 Find the common denominator of -13/6 and -39/721. 4326 What is the common denominator of -73/8 and -37/110? 440 What is the common denominator of -25/462 and -52/77? 462 Find the common denominator of -19/520 and 69/40. 520 Calculate the lowest common multiple of 57 and 9. 171 What is the common denominator of 61/228 and 55/12? 228 What is the common denominator of -17/108 and 5/162? 324 Calculate the common denominator of -61/12 and -71/616. 1848 Calculate the least common multiple of 25 and 54. 1350 Calculate the common denominator of 23/64 and -45/256. 256 Calculate the common denominator of -103/170 and 20/187. 1870 What is the common denominator of -67/330 and -49/360? 3960 What is the smallest common multiple of 4617 and 190? 46170 What is the least common multiple of 52 and 280? 3640 Find the common denominator of -97/112 and 27/32. 224 Find the common denominator of 4/6095 and -39/1855. 42665 What is the lowest common multiple of 426 and 4? 852 Find the common denominator of 37/5 and 18/305. 305 What is the common denominator of -71/94 and 35/9? 846 Calculate the common denominator of 127/182 and -71/18. 1638 Calculate the smallest common multiple of 44 and 1089. 4356 What is the common denominator of 16 and 71/2208? 2208 What is the common denominator of -21/242 and -38/11? 242 What is the smallest common multiple of 273 and 234? 1638 Calculate the common denominator of 19/18 and -83/94584. 283752 What is the common denominator of -43/128 and 57/40? 640 What is the lowest common multiple of 143 and 1144? 1144 Calculate the common denominator of -22 and 29/1760. 1760 What is the least common multiple of 9 and 128? 1152 Calculate the lowest common multiple of 1356 and 1808. 5424 What is the least common multiple of 203 and 14? 406 What is the common denominator of -131/3300 and 2/9? 9900 What is the lowest common multiple of 4 and 45? 180 What is the common denominator of 19/25 and -52/5? 25 Calculate the least common multiple of 4023 and 30. 40230 What is the common denominator of 23/33 and 157/528? 528 What is the common denominator of -89/36 and -107/78? 468 Find the common denominator of -67/1548 and -32/11. 17028 Find the common denominator of 31/1026 and -23/378. 7182 Calculate the common denominator of -1/91 and 73/1344. 17472 Calculate the common denominator of -55/296 and 85/8. 296 Calculate the common denominator of -33/245 and -121/70. 490 What is the smallest common multiple of 117 and 18? 234 What is the lowest common multiple of 75 and 15? 75 Calculate the common denominator of -67/10 and 7/1881. 18810 What is the least common multiple of 183 and 33? 2013 Calculate the lowest common multiple of 78 and 143. 858 What is the common denominator of 61/288 and -11/112? 2016 Calculate the least common multiple of 6 and 66. 66 What is the smallest common multiple of 108 and 351? 1404 Calculate the lowest common multiple of 12 and 6. 12 What is the smallest common multiple of 27 and 312? 2808 Calculate the common denominator of 37/288 and -7/18. 288 Calculate the least common multiple of 51 and 85. 255 What is the common denominator of -8/11 and 19/23397? 23397 Find the common denominator of -13/1615 and 2/235. 75905 Calculate the smallest common multiple of 368 and 118. 21712 Find the common denominator of 11/518 and -79/740. 5180 What is the least common multiple of 451 and 23? 10373 Find the common denominator of -47/32 and 41/44. 352 What is the common denominator of -1/40 and -49/4115? 32920 What is the lowest common multiple of 1845 and 153? 31365 Calculate the lowest common multiple of 4 and 536. 536 What is the common denominator of 67/2454 and -109/24? 9816 Calculate the common denominator of 97/210 and 139/168. 840 Calculate the common denominator of -19/144 and 26. 144 Calculate the lowest common multiple of 88 and 56. 616 Calculate the smallest common multiple of 17 and 1615. 1615 What is the common denominator of 119/36 and -7/9? 36 What is the least common multiple of 312 and 130? 1560 What is the lowest common multiple of 99 and 506? 4554 What is the lowest common multiple of 1320 and 1155? 9240 Calculate the smallest common multiple of 1386 and 198. 1386 What is the least common multiple of 3141 and 27? 9423 Calculate the smallest common multiple of 9610 and 6727. 67270 What is the lowest common multiple of 144 and 162? 1296 Calculate the lowest common multiple of 2613 and 2211. 28743 What is the least common multiple of 24 and 534? 2136 What is the least common multiple of 10296 and 936? 10296 What is the smallest common multiple of 2823 and 24? 22584 What is the common denominator of -61/176 and 127/132? 528 Calculate the common denominator of 27/3056 and 13/4202. 33616 What is the common denominator of 103/3150 and 41/2475? 34650 Calculate the smallest common multiple of 28 and 14. 28 What is the common denominator of 29/278 and -109/14? 1946 What is the common denominator of 1/11179 and 3/11? 122969 Calculate the common denominator of 113/1290 and 43/3. 1290 What is the smallest common multiple of 506 and 22? 506 What is the lowest common multiple of 80 and 50? 400 Find the common denominator of -67/6 and -52/19. 114 What is the common denominator of 25/434 and 47/124? 868 Find the common denominator of 46/7 and -54/295. 2065 What is the lowest common multiple of 4 and 186? 372 Find the common denominator of -57/638 and 9/406. 4466 Calculate the smallest common multiple of 16 and 64. 64 Calculate the common denominator of -41/18 and 53/3124. 28116 Calculate the lowest common multiple of 252 and 216. 1512 What is the least common multiple of 16 and 8? 16 Calculate the common denominator of 11/226 and -87/8. 904 Find the common denominator of -59/120 and -63/44. 1320 Find the common denominator of 39/16 and -97/2332. 9328 What is the lowest common multiple of 13326 and 4? 26652 What is the common denominator of 61/30 and -125/36? 180 Find the common denominator of 47/24 and -151/1188. 2376 Calculate the common denominator of -11/34 and -29/17. 34 Calculate the least common multiple of 12 and 4. 12 What is the smallest common multiple of 30 and 522? 2610 Calculate the smallest common multiple of 1034 and 47. 1034 Find the common denominator of 43/1760 and 21/3520. 3520 Calculate the lowest common multiple of 5543 and 1446. 33258 Calculate the least common multiple of 480 and 432. 4320 Find the common denominator of -74/711 and -61/36. 2844 Calculate the lowest common multiple of 150 and 135. 1350 Find the common denominator of -45/22 and -63/20. 220 Calculate the common denominator of 67/3 and -2/107. 321 What is the lowest common multiple of 114 and 57? 114 What is the least common multiple of 2464 and 16? 2464 Calculate the least common multiple of 2358 and 1310. 11790 Calculate the least common multiple of 55 and 7. 385 Find the common denominator of 17 and -25/23828. 23828 Find the common denominator of 47/35 and -6/125. 875 Find the common denominator of 13/472 and -37/14. 3304 Calculate the smallest common multiple of 399 and 11. 4389 Calculate the lowest common multiple of 348 and 174. 348 Calculate t
{ "pile_set_name": "DM Mathematics" }
h(35). What is the greatest common divisor of 306 and d? 102 Suppose -1222*f = -1214*f - 56. What is the highest common factor of 1085 and f? 7 Let z = -129 + 139. Let y(o) = -9*o**3 - o. Let i be y(-1). What is the greatest common factor of z and i? 10 Suppose 5*u = 4*u + 16. Let n = u + -3. What is the greatest common divisor of 143 and n? 13 Let h be 41/5 - 1/5. Let v = -7 + 9. Let c be 52/60 - v/(-15). What is the greatest common factor of c and h? 1 Let v(n) = -n**3 - 6*n**2 - 2*n - 9. Let u be v(-4). Let r = 59 + u. Suppose 5*b - 3*l - 1158 = 0, 0 = l + 2 - 6. What is the highest common divisor of r and b? 26 Let z = 107 + -70. Calculate the highest common divisor of z and 37. 37 Let f = 641 + -585. Calculate the greatest common factor of f and 63. 7 Let x(u) = 2*u**3 - 4*u**2 + 8*u. Let p be x(3). What is the highest common divisor of 182 and p? 14 Let w = 71 - 71. Suppose 4*v + w*v - 324 = -2*y, 4*y = 5*v - 392. What is the highest common divisor of v and 32? 16 Suppose -3*w + 10*w = 77. Let m be 8 - -6 - (1 + 2). Calculate the highest common factor of m and w. 11 Let t(r) = 74*r**2 - 16*r - 92. Let z be t(-6). Calculate the highest common divisor of 116 and z. 116 Let b be (-4)/(-1 - -2)*-1. Suppose -2*j = -4*t + b - 16, 3*j = 2*t + 30. Suppose 0 = -a + 28 + j. What is the highest common factor of 10 and a? 10 Suppose -5 = -4*b + 3. Suppose 0 = -3*h + 15, 59 + 119 = -b*a - 4*h. Let p = a - -249. What is the highest common factor of p and 30? 30 Let g be -1*(-16 - (-2 + 5)). Suppose 2*d - 6 - 8 = 0. Suppose 3*q + 3*u - d - 65 = 0, -2*u = 5*q - 105. Calculate the highest common divisor of q and g. 19 Let w(i) = -34*i - 5. Let h(p) = -17*p - 2. Let g(l) = 14*h(l) - 6*w(l). Let r be g(-2). Suppose -2*c + r = -80. What is the highest common factor of 30 and c? 15 Let p be (140/(-12) + 3)*-21. Calculate the highest common factor of 26 and p. 26 Let g(o) = o**3 + 8*o**2 - o + 10. Let m be 3/2 + (-136)/16. Let z be g(m). What is the highest common divisor of 11 and z? 11 Suppose 6*i - 3*b = 4*i + 821, i + b = 403. Calculate the greatest common factor of i and 14. 14 Let y be -1 + (-131)/(-3) - (-4)/(-6). Let i = -6 + 10. Suppose -a + f = -i*a + 188, -a = f - 62. What is the highest common factor of a and y? 21 Suppose 5*z - 77 + 14 = 3*n, 2*n = 5*z - 67. Suppose -10 - z = -j. Calculate the greatest common divisor of j and 25. 25 Let x = 78 - -31. Suppose 4*y = -0*y - 5*k + x, 0 = -y - 5*k + 31. Let a(z) = -2*z - 9. Let h be a(-11). Calculate the greatest common divisor of y and h. 13 Suppose -9 + 6 = -v, i - 69 = -v. Calculate the greatest common factor of 99 and i. 33 Let a be (-23779)/(-602) + (1 - (-1)/(-2)). What is the highest common divisor of a and 32? 8 Let f = 319 + -96. Suppose -895 = -4*g - f. Suppose -13 = 5*i - 118. What is the greatest common factor of g and i? 21 Let y(s) = -26*s + 79. Let o be y(-21). What is the greatest common divisor of 5 and o? 5 Let d(q) = -7*q - 63. Let b be d(-11). What is the highest common divisor of 266 and b? 14 Let f = 122 - 101. Calculate the greatest common factor of f and 546. 21 Suppose 115 - 25 = 3*d. Suppose -3*f + d = -90. What is the highest common factor of f and 5? 5 Let s be ((-24)/20)/(15/(-1150)). What is the highest common divisor of s and 299? 23 Suppose n + 2 = 3*n. Let x = 7 + -4. Suppose h = r - 7, 5*r + 4 = -x*h + 47. What is the greatest common divisor of r and n? 1 Let a be (2 - 1)*1 + (-399)/7. Let o be ((-472)/(-14) + (-16)/a)*1. What is the highest common factor of o and 34? 34 Let a(o) = -o**3 - 8*o**2 - 3*o + 18. Let l be a(-8). What is the greatest common factor of l and 525? 21 Let j = -10 - -11. Let i be (20/16)/(j/4). Suppose 5*g - 4 - 2 = y, -51 = -i*y - 2*g. Calculate the greatest common factor of 81 and y. 9 Let m(r) = -9*r - 51. Let a be m(-6). Let n = 17 - 14. Calculate the greatest common factor of a and n. 3 Let c(b) = -b - 30 + 31 + 58 - b. Let y be c(12). What is the greatest common factor of 7 and y? 7 Let t be 208/(-10)*(-9 - 1). Let a(v) = v**3 - 20*v**2 - 41*v - 40. Let r be a(22). Calculate the highest common divisor of t and r. 26 Let n be (16/(-6))/1*(-1 - 50). Let w be (1/(-2))/((-2)/68). What is the greatest common factor of w and n? 17 Suppose -3*k - 3 = -6. Suppose -o = -5*o + 28. What is the greatest common divisor of k and o? 1 Let i(v) = -v - 23. Let z be i(0). Let f = 24 + z. Suppose 0 = a - f - 1. Calculate the highest common divisor of 10 and a. 2 Suppose -1 = -3*s - 3*v - 10, 5*v = 2*s - 29. Suppose -3*l = -y + 60, -2*y - s*l + 105 = -3*l. What is the greatest common divisor of y and 68? 17 Let j(v) be the second derivative of -v**4/12 - 5*v**3/2 - 15*v**2/2 - 8*v. Let k be j(-13). What is the greatest common divisor of k and 77? 11 Suppose -5*s = 4*n - 72, -n + 13 + 5 = 4*s. Calculate the greatest common divisor of 306 and n. 18 Let j(r) = -r - 6. Let h be j(-8). Suppose 0 = -4*d + h*d + 144. Suppose 0 = -9*w + 13*w - 32. What is the greatest common factor of w and d? 8 Let g be 20/90 - (158/(-18) - -4). Suppose 4*r = -4*k + 16, -6*k + 4*k + 7 = r. What is the highest common factor of g and r? 1 Let j be -4 - (-2 - -1)*274. Suppose -6*u + 324 = -j. What is the highest common divisor of u and 11? 11 Suppose 108*o - 111*o = -108. What is the highest common factor of 48 and o? 12 Let g be (-54)/(-135) + (5274/15 - 1). What is the greatest common divisor of 18 and g? 9 Suppose -23 = -o + 3. Let h be 1/(-2 + (-313)/(-156)). What is the greatest common divisor of h and o? 26 Let j = 1413 - -703. Calculate the highest common factor of 92 and j. 92 Let r be (-3*(-18)/(-8))/((-27)/144). Calculate the greatest common factor of 162 and r. 18 Let w be (-22 + 1)/((-53)/159). Calculate the highest common divisor of w and 168. 21 Let s = -243 - -249. Let u(m) = m**2 - 4*m - 3. Let a be u(-2). What is the greatest common divisor of a and s? 3 Suppose 4*g + 1 = 17. Let n(q) = q - 2. Let s be n(g). Suppose x - 5*u - 12 = 6, -s*x - u + 25 = 0. Calculate the greatest common divisor of 117 and x. 13 Let k(r) = -9*r**3 + r**2 + r + 1. Let y be k(-1). Let l = y + 0. Let w = -597 + 627. Calculate the greatest common divisor of l and w. 10 Suppose 0 = -4*d + 3*q + 51, -d + 0 = 4*q + 11. Calculate the highest common divisor of d and 33. 3 Let j(z) = -z**2 - 14*z + 16. Let w be j(-13). Suppose 25 = 4*g + w. Let d be g/((-164)/80 - -2). What is the greatest common divisor of 60 and d? 20 Let o = -132 - -197. Let j = o + -17. What is the greatest common factor of 18 and j? 6 Suppose 5*m + 4*b - b - 1224 = 0, 0 = 3*m + 2*b - 735. Calculate the highest common divisor of 27 and m. 27 Suppose 47*s - 180 = 44*s. Calculate the greatest common divisor of 108 and s. 12 Suppose -5 = -12*g + 19. Suppose 5*x = h + 17 - 4, g*h = -2*x + 34. What is the highest common divisor of 12 and h? 12 Let h be 1/(2*4/(-48)). Let b be h - (-1 - 3) - -7. What is the greatest common divisor of b and 35? 5 Let a(j) = -3*j**2 - 25*j + 8. Let k be a(-4). What is the highest common divisor of 132 and k? 12 Let x be (-1)/2 - ((-181)/2)/1. Let v = 160 - x. Calculate the highest common divisor of 14 and v. 14 Let q = -497 + 509. Calculate the highest common divisor of 15 and q. 3 Suppose -106*j = -5*h - 110*j + 20, 37 = 4*h - j. Suppose -19 = 3*m - 79. Calculate the highest common factor of m and h. 4 Suppose 2*z + 4*f - 42 = 5*z, 5*f = -2*z - 28. Let o = 87 + z. Let x be 1/(-2) - o/(-2). Calculate the highest common factor of 24 and x. 12 Let n be (-1)/(2/26) - 0. Suppose -2*r + 64 = -3*o, 0 = 4*r - 6 - 14. Let p = n - o. What is the highest common factor of 5 and p? 5 Let j(m) = m**2 - m - 5. Let n be j(8). What is the greatest common factor of 34 and n? 17 Let g(r) = -r**2 + 8*r - 5. Let h be g(5). Let j(z) = z**2 + 23*z - 94. Let n be j(6). Calculate the greatest common factor of n and h. 10 Suppose 14*n - 20*n = -12. Let l(a) = 38*a + 4. Let d be l(n). What is the highest common factor of 10 and d? 10 Let f(i) = 7*i + 82. Let g be f(-11). Suppose -5*p + g = -3*q, -41 = -5*q + 2*p - 6*p. Calculate the greatest common divisor of q and 45. 5 Suppose 4*g - 72 - 24 = 0. Suppose 5*p - 2*n = 116, -2*p + 6*p + 5*n - 106 = 0. What is the highest common divisor of g and p? 24 Suppose 3*h - 2 - 13 = 0. S
{ "pile_set_name": "DM Mathematics" }
-1. Which is the closest to s? (a) -1/10 (b) g (c) 2/19 a Suppose -s - 4 = -3. Let l be -1*(-3 - s) - -3. Which is the closest to -0.5? (a) l (b) 0.3 (c) 4 b Suppose 11 = 2*d + 5. Suppose 15 = v - 2*v. Let k be (-6)/15 + (-1)/v. Which is the closest to k? (a) 4 (b) d (c) 0.5 c Suppose f + 17 = -0*f - 2*n, -8 = -f + 3*n. Let h be (2/(-6))/(f/(-6)). Let x be 2/(-7) - 34/(-70). Which is the nearest to 2/3? (a) 1/3 (b) x (c) h a Let x = 16.7 - 17. Let o = -5 + 1. Let a be (-1)/(-3) - (-5)/(-60). What is the nearest to a in o, -1/3, x? x Let p be (-1 - 0) + (-22)/(-18). Let y = -1.8 - 2.2. Which is the nearest to 0.1? (a) p (b) -0.5 (c) y a Let w be (-6)/10*(-6 + 1). Suppose q = w*q + 4. Let i = 33 + -32. What is the closest to i in -1, q, 0? 0 Suppose 2 = 4*j - z + 3*z, z = -j + 3. Let d = -891 - -891.1. What is the nearest to -1/2 in d, 0.2, j? d Let v = 0.3 - 0.5. Let u = -3.2 - v. What is the nearest to -1/5 in u, 0.5, 3? 0.5 Let u = 10 - 12. What is the closest to 1/4 in u, -0.2, 5? -0.2 Suppose 0 = -5*g + 5, -4*a + 6*g = g + 13. Let w = -105 - -946/9. What is the closest to -0.1 in a, -3, w? w Let y = 1.6 - 2.6. Which is the nearest to 0? (a) 0.1 (b) y (c) 10 a Let u(t) = -t**3 + 6*t**2 - 2*t + 7. Let d be u(6). Let i be (1/3)/(1/9). Let l be 49/(-42) + (-1)/i. Which is the closest to -1? (a) d (b) 0.4 (c) l c Let i = 0 + -0.5. Let n = -0.4 - i. What is the closest to n in 5, 3, -0.2? -0.2 Let v = 708/5 + -141. Which is the closest to 1? (a) v (b) 1/6 (c) -2/5 a Let u be 6/(0 + (-30)/(-4)). Let f be (-1)/(-4) - (-25)/(-36). Let n = 3 + -2.8. Which is the nearest to -2/3? (a) n (b) f (c) u b Let l be (-2)/(-6)*(1 - (-2)/4). Let i be 16/(-21) + 1/1. Let w = i + -4/7. Which is the closest to -1? (a) l (b) 0.3 (c) w c Let k = -2/139595 - -17309882/7119345. Let g = k + -30/17. Let m = g + -8/21. What is the closest to m in 0, 0.2, -2/7? 0.2 Let g = -0.53 - -0.23. Which is the closest to 0.1? (a) -0.2 (b) -4 (c) g a Let w = 1 + 0. Let l = 11 - 5. Let h be ((-24)/36)/((-7)/l). Which is the closest to w? (a) -0.1 (b) h (c) 2/5 b Suppose 0*f - 2*f = -40. Suppose -z - 4*z + f = 0. Suppose 0 = -z*m + 5*w + 9, 4*m - 2*w - 8 = 2*w. What is the closest to 2 in -5, -3, m? m Let l = 89 - 90. What is the closest to l in 1/3, 0.3, 0.02? 0.02 Let p = -11 - -7. Let i = p - -3.7. Let k be 0/(1 - (-3)/1). Which is the nearest to k? (a) i (b) -0.2 (c) -3 b Let h = -14 - -13.6. What is the closest to 0 in h, 0, 3? 0 Let z be 2/((-5)/2 + 2). What is the closest to -2/5 in -2, z, 0? 0 Let z(n) = n**3 + 10*n**2 - n - 10. Let d be z(-10). Which is the closest to -1/2? (a) 0.3 (b) d (c) -3/7 c Let t = -0.031 - -3.031. What is the nearest to 0.07 in t, 2, -4/5? -4/5 Let r = 23 + -25. Which is the nearest to 0.1? (a) r (b) 0.06 (c) -1/4 b Let z be 5 + -5 - 122/30. Let q = -11/3 - z. What is the closest to -1 in -1/9, 1, q? -1/9 Let q be (42/56)/(9/(-24)*-1). What is the nearest to 0.1 in q, 0.4, -1? 0.4 Let p = 19/4 + -369/76. What is the closest to 1 in p, 2, -2/3? 2 Let u = 145/3 + -49. What is the closest to u in -0.5, -2/11, -0.3? -0.5 Let l = 110 - 108. Which is the closest to -3? (a) l (b) 0.2 (c) 0.5 b Let z = 0.145 + -0.045. Which is the nearest to -1? (a) -5 (b) z (c) -0.2 c Let c = -0.14 + 0.14. Let y = -5 + 3. Let s = -441/5 - -89. What is the nearest to c in s, y, -1? s Let w be (-1)/1 + 4/(-2). Suppose h = -4*s - 21, 19 = -4*s - 0*h + h. What is the closest to -1 in -2, s, w? -2 Let g(j) = 2*j**2 + 2*j. Let w be g(1). Which is the closest to 4? (a) w (b) -4 (c) 0.2 a Let t be -1 - -1 - (-4)/(-26). Let s = 11 - 10.5. Let k = 0 + s. Which is the nearest to 1? (a) t (b) 3 (c) k c Let y = -7 - -3. Let v = -2.936 - 0.064. Which is the closest to -0.1? (a) 2/5 (b) y (c) v a Let p = 0.7 - 1. Let s = 11/10 + -3/5. Let t = -66 - -65.8. Which is the closest to 1/3? (a) t (b) s (c) p b Suppose 3*s - i + 10 = 0, 2*s + 6*i + 3 = 3*i. What is the closest to -0.1 in s, 2/7, 1/5? 1/5 Let n = 0 - 0.5. Let s = 1.21 + -0.21. Which is the closest to s? (a) n (b) -1/6 (c) 0.1 c Let g(f) = -f + 6. Let w be g(6). Suppose 7 - 34 = 3*l. Let k be (-38)/(-48) + 6/l. Which is the closest to w? (a) 0 (b) k (c) 5 a Let d = 4 - 3. Let o = 0.6 - -2.4. Which is the nearest to -1/3? (a) d (b) -1/4 (c) o b Suppose -40 = 5*v - 0. Let i = 3 + v. Which is the nearest to 2/3? (a) 0.05 (b) i (c) -3 a Let m = -39.2 - -39. Let n = -0.6 + 0.4. Let i = 3.2 - 3. What is the nearest to m in -0.1, i, n? n Let q = -10 - -7. Let f = 38.1 - 35. Let k = f + q. Which is the closest to -2/3? (a) -3/5 (b) -0.3 (c) k a Let y = 80/9 + -524/63. Which is the nearest to y? (a) 2 (b) -4 (c) 0.1 c Let m = -3 - -4. Let l = -0.12 + -0.18. What is the closest to m in -5, l, 5? l Let n = -1.3 + 0.3. Let k = 9.93 - 10. Let u = 0.07 + k. What is the closest to u in 2/13, n, -3/2? 2/13 Suppose u + 3*u - 3*n = -20, 0 = 4*u - n + 12. Let r be 11/(-66) - (-2)/(-24). What is the closest to u in -2, 5, r? -2 Let a = -47 - -46.5. What is the nearest to 4 in 1/11, -5, a? 1/11 Let b = -1.08 - -0.08. What is the nearest to b in -2/5, 3, 1/5? -2/5 Let t = -168 + 675/4. Let n = -0.043 - -0.543. Let y = 0.1 + -0.2. Which is the closest to y? (a) -3 (b) n (c) t b Let u = 5 - 9. Let g be ((-21)/18)/(-7)*4. What is the closest to g in u, 0, -0.3? 0 Let i be 1*(-2)/4 + 45/42. What is the closest to 0.1 in i, -68, -1/4? -1/4 Let h be ((16/(-20))/(-1))/2. Which is the nearest to h? (a) -2/23 (b) -0.2 (c) 0.4 c Suppose -12 = -5*c - 37. Suppose -3*q = 5*l - 12, l + l + 16 = 4*q. What is the nearest to -1/4 in q, -2, c? -2 Let k = -67 - -69. Let m = -2 - -2. Let u = m + -0.2. Which is the closest to k? (a) u (b) 4 (c) 1/5 c Let r = 2/13 - -5/52. What is the closest to r in 2, 0, 4? 0 Let z = -0.03 + 3.43. Let o = z + -1.4. What is the nearest to -1/7 in 3, -1/4, o? -1/4 Let g = 2677/111958 + 3/1454. Let n = -69/308 - g. Let v(p) = p + 2. Let x be v(-1). Which is the closest to x? (a) n (b) 1/2 (c) 0.4 b Suppose -q = 3*h + 15, 15 = -0*h - 4*h - 3*q. Let t(s) = s**2 + 6*s + 3. Let w be t(h). What is the closest to -2 in 0.4, w, 1? 0.4 Let p(r) = -r + 6. Let k be p(5). Let n = -8.9 - -9. What is the closest to k in 5, 2, n? n Let y = 75 - 28. Let m = -2/8899 + 2518429/53394. Let n = y - m. What is the closest to -0.1 in n, 0, -2/7? n Let o = 91 - 91. What is the closest to o in 0.1, 1, 2? 0.1 Let r be (-4)/14 - (-12)/(-7). Let t be r/6 + (-2)/12. Let x = 0.06 + 0.14. Which is the closest to t? (a) -3/8 (b) 3 (c) x a Let b be (3/9)/((-2)/4). Let p = -0.3 - -0.3. What is the nearest to b in 3, p, 2/11? p Let q be (-8)/24 - (-16)/3. Which is the nearest to 1/2? (a) -3 (b) 3 (c) q b Let g = -4 + 3. Let r = -7 + 5.5. Let q = r + 1. Which is the closest to g? (a) 3 (b) -3 (c) q c Let u = 0.1 + -1. Let f = u - 0.1. What is the closest to -0.1 in -2/5, f, -5/4? -2/5 Let f = 82/105 + -4/35. Let v = -0.33 + 0.3. Let t = 0.97 - v. What is the closest to t in -1, f, -4/7? f Let g = -1/206 + -403/1854. What is the closest to -1 in -5, g, -1? -1 Suppose -2 + 0 = -3*f - 2*b, 3*f + 26 = 5*b. What is the nearest to -1 in -0.5, -4/5, f? -4/5 Let l = 25 + -27. Which is the nearest to -2/3? (a) l (b) 0 (c) 5 b Let s = 6 + -5.9. Let j(x) = -x**2 - x + 3. Let l be j(0). Which is the nearest to l? (a) -3 (b) s (c) 2 c Let t = -2 + 2. Let k = 0.3 - t. Let m be 5 + (-27)/15 + -3. What is the closest to m in 5, k, -4? k Let h = 0 + 0. Let v = 0.1 + -0.3. Let g = 6 + -4. What is the closest to g in -1, v, h? h Let i = -45 - -48. What is the closest to -0.1 in 1/4, 4, i? 1/4 Let y = -0.1 + 0. Let x = -0.9 - -3. Let k = 2 - x. Which is the nearest to k? (a) y (b) 2/15 (c) 0.3 a Let r = -41 + 40.9. What is the closest to r in -3, 5, 4? -3 Let b = 7.1 - 7. What is the closest to b in 1, 4, 0.2? 0.2 Let x = 51/7 - 7. Let n = -0.1 + 0.6. Let t = n - 0.4. Which is the nearest to t? (a) -2 (b) 0.4 (c) x c Let k(g) = -3 + 3*g**2 - 8*g - 2*g**2 - 2*g**2. Let n be k(-7). Let y be ((-3)/9)/(n/(-6)). Which is the nearest to y? (a) 4 (b) 1/4 (c) 0.3 c Let i = 5/53 - -41/689. Let w = 2.9 - -0.1. What is the closest to -1 in -0.3, w, i? -0.3 Let q = -23.89 - -24. Let t =
{ "pile_set_name": "DM Mathematics" }
- 6912/13 = 0 for q. -12, -4, 2, 4, 9 Factor -x**4 + 78*x**3 - 2208*x**2 + 26450*x - 109503. -(x - 23)**3*(x - 9) Solve 4*w**2 + 6376*w + 100992 = 0 for w. -1578, -16 Determine i, given that 2*i**5/21 + 2360*i**4/7 + 6301004*i**3/21 + 20714048*i**2/7 - 143215630*i/21 + 24921800/7 = 0. -1765, -12, 1 What is g in -4*g**2/3 - 19340*g = 0? -14505, 0 What is c in 2*c**3/9 + 146*c**2 - 2636*c/9 = 0? -659, 0, 2 Factor 3*x**4 + 1374*x**3 + 39711*x**2. 3*x**2*(x + 31)*(x + 427) Factor 5*d**5 - 7360*d**4 + 2766720*d**3 - 42864640*d**2 + 169594880*d. 5*d*(d - 728)**2*(d - 8)**2 Factor 2*j**3/7 + 2236*j**2/7 + 13354*j/7 + 11120/7. 2*(j + 1)*(j + 5)*(j + 1112)/7 Find j, given that j**5/9 - j**4/9 - 76*j**3/9 - 176*j**2/9 + 32*j + 80 = 0. -6, -3, -2, 2, 10 What is w in w**4/5 - 57*w**3 - 2647*w**2/5 + 57*w + 2646/5 = 0? -9, -1, 1, 294 Solve -2*r**2/13 - 142*r/13 + 14592/13 = 0. -128, 57 Factor 6*u**2/11 - 533796*u/11. 6*u*(u - 88966)/11 Factor 4*r**3 + 492*r**2 + 2360*r. 4*r*(r + 5)*(r + 118) Suppose 3*j**5/8 + 32559*j**4 + 1413451305*j**3/2 - 130236*j**2 - 2826902616*j = 0. What is j? -43412, -2, 0, 2 Factor -5*i**3 - 75*i**2 + 37125*i - 1063125. -5*(i - 45)**2*(i + 105) Factor 4*p**2/7 + 8052*p. 4*p*(p + 14091)/7 Determine s so that 2*s**5 + 350*s**4 - 5186*s**3 + 19882*s**2 - 28656*s + 13608 = 0. -189, 1, 2, 9 Solve 3*w**2 - 30666*w = 0 for w. 0, 10222 Find u such that -u**3/6 - 25*u**2/2 - 583*u/3 = 0. -53, -22, 0 Factor -h**2/3 - 8950*h/3 - 20025625/3. -(h + 4475)**2/3 Factor -c**2/2 - 14448*c - 104372352. -(c + 14448)**2/2 Find w such that 36*w**4 + 6980*w**3 - 776*w**2 = 0. -194, 0, 1/9 Suppose 2*r**2 - 148*r - 1134 = 0. What is r? -7, 81 Solve 3*k**4/2 - 786*k**3 - 30759*k**2/2 - 52038*k - 48870 = 0. -15, -2, 543 Let -4*d**5/3 - 59*d**4/3 - 16*d**3/3 + 808*d**2 + 1920*d - 3600 = 0. What is d? -10, -6, 5/4, 6 Suppose 4*z**2 - 41144*z + 41140 = 0. What is z? 1, 10285 Determine h, given that -2*h**3/5 + 72*h**2/5 - 202*h/5 + 132/5 = 0. 1, 2, 33 What is q in -3*q**3 - 351*q**2 - 11256*q - 69120 = 0? -64, -45, -8 Suppose 66049*y**2/2 + 1954742*y + 28925618 = 0. Calculate y. -7606/257 What is z in 3*z**3 + 1431*z**2 - 8694*z = 0? -483, 0, 6 Determine m, given that -10*m**5/3 + 22918*m**4/3 - 13742*m**3 + 13738*m**2/3 + 4580*m/3 = 0. -1/5, 0, 1, 2290 Find s such that -4*s**2 + 1128*s + 50076 = 0. -39, 321 Solve -3*r**3 + 1104*r**2 - 1095*r - 2202 = 0. -1, 2, 367 Factor 5*z**3/3 + 14545*z**2/3 + 10599635*z/3 + 10556045. 5*(z + 3)*(z + 1453)**2/3 Factor -288300*t**3 + 1724220*t**2 + 33453*t + 162. -3*(t - 6)*(310*t + 3)**2 Factor 2*i**2 - 595556*i + 44335868642. 2*(i - 148889)**2 Factor -16*b**2 + 420*b + 324. -4*(b - 27)*(4*b + 3) Find m, given that -3*m**2/2 - 154*m + 3680 = 0. -368/3, 20 What is y in -y**4 + 78*y**3 - 977*y**2 + 1968*y + 3024 = 0? -1, 4, 12, 63 Factor 5*l**2 - 3045170*l + 463653016445. 5*(l - 304517)**2 Find a such that 3*a**4/4 + 849*a**3/2 - 4320*a**2 = 0. -576, 0, 10 Let k**2/4 - 2445*k/4 + 3663/2 = 0. What is k? 3, 2442 Determine o so that -3*o**5/8 - 39*o**4/8 + 93*o**3 - 903*o**2/2 + 876*o - 600 = 0. -25, 2, 4 Determine x, given that 9*x**5 + 3423*x**4 + 285639*x**3 + 94833*x**2 = 0. -257, -123, -1/3, 0 Solve 4*a**2 - 2352*a - 95152 = 0. -38, 626 Solve 4*m**2/5 + 126804*m/5 = 0 for m. -31701, 0 Solve -4*n**4 - 17396*n**3/5 - 6252*n**2 - 10412*n/5 + 3472/5 = 0 for n. -868, -1, 1/5 Solve 676*m**5/7 - 416*m**4/7 - 6852*m**3/7 + 720*m**2 + 10800*m/7 = 0. -3, -1, 0, 30/13 Factor -b**2 - 5119*b + 5120. -(b - 1)*(b + 5120) Factor -a**2 + 5151*a - 5150. -(a - 5150)*(a - 1) Factor -p**4 + 663*p**3 + 4014*p**2. -p**2*(p - 669)*(p + 6) Find n such that 5*n**5 + 2185*n**4 - 48090*n**3 = 0. -458, 0, 21 Suppose -2*n**3/11 - 23216*n**2/11 + 46438*n/11 - 23220/11 = 0. Calculate n. -11610, 1 Factor 75*n**2 + 1551*n + 1020. 3*(n + 20)*(25*n + 17) Factor 5*f**4/2 + 2380*f**3 + 542140*f**2 - 11566800*f + 59049000. 5*(f - 10)**2*(f + 486)**2/2 Solve 2*u**2 + 44674*u - 44676 = 0. -22338, 1 Factor -4*n**5 + 10004*n**4 - 6249996*n**3 - 6260004*n**2. -4*n**2*(n - 1251)**2*(n + 1) Factor f**2 + 43032*f + 462938256. (f + 21516)**2 Factor -b**3/4 + 399*b**2/2 - 36639*b - 1285470. -(b - 414)**2*(b + 30)/4 What is q in 2*q**4 + 36*q**3 - 2*q**2 - 36*q = 0? -18, -1, 0, 1 Solve -d**4/3 - 56*d**3 - 2166*d**2 + 16704*d + 68121 = 0 for d. -87, -3, 9 Suppose 5686*d**4/3 + 3788*d**3 + 1890*d**2 - 8*d/3 = 0. Calculate d. -1, 0, 4/2843 Factor 2*k**2/17 - 1782*k/17 + 728. 2*(k - 884)*(k - 7)/17 Find s such that -2*s**3 - 116*s**2 + 4368*s = 0. -84, 0, 26 Solve -o**3/4 - 2627*o**2/2 - 31493*o/4 - 6560 = 0 for o. -5248, -5, -1 Factor -3*b**2 + 2544*b - 10128. -3*(b - 844)*(b - 4) Determine r, given that 2*r**4/13 - 1096*r**3/13 + 5418*r**2/13 + 6516*r/13 = 0. -1, 0, 6, 543 Find j, given that 2*j**4/3 - 40*j**3/3 + 76*j**2 - 72*j - 162 = 0. -1, 3, 9 Factor s**2 + 18936*s + 18935. (s + 1)*(s + 18935) Suppose 10*t**5/9 + 364*t**4/9 - 3826*t**3/9 + 2012*t**2/9 + 160*t = 0. What is t? -45, -2/5, 0, 1, 8 Find d such that 2*d**3/13 + 48504*d**2/13 + 48502*d/13 = 0. -24251, -1, 0 Suppose t**4/3 - 2782*t**3/3 - 120372*t**2 - 5105016*t - 71815968 = 0. What is t? -42, 2908 Determine s so that 5*s**4 - 24995*s**3 - 75050*s**2 + 100040*s = 0. -4, 0, 1, 5002 Let 2*i**5/5 + 1434*i**4/5 + 253388*i**3/5 - 1327716*i**2/5 - 880118*i + 5473482/5 = 0. What is i? -361, -3, 1, 7 Factor w**5 + 21*w**4 - 3027*w**3 - 31345*w**2 - 79050*w. w*(w - 51)*(w + 5)**2*(w + 62) Find z, given that 14*z**4 - 68608*z**3 + 1234416*z**2/7 - 83968*z + 78368/7 = 0. 2/7, 2, 4898 Factor -2*m**3/5 - 35408*m**2/5 - 156998688*m/5 - 2502922752/5. -2*(m + 16)*(m + 8844)**2/5 Solve -n**3 + 1853*n**2 - 33030*n = 0. 0, 18, 1835 Suppose -3*n**5/2 - 57*n**4 - 297*n**3 + 894*n**2 + 597*n/2 - 837 = 0. Calculate n. -31, -9, -1, 1, 2 Suppose n**3 - 14*n**2 - 89*n - 114 = 0. What is n? -3, -2, 19 Solve 4*q**3/5 - 31164*q**2/5 + 60684096*q/5 + 60715264/5 = 0. -1, 3896 Solve k**4/2 - 145*k**3/6 + 974*k**2/3 - 3074*k/3 + 936 = 0. 2, 52/3, 27 Factor -1469795762*h**2/11 - 759052*h/11 - 98/11. -2*(27109*h + 7)**2/11 Let 3*l**5 + 13881*l**4 + 16008177*l**3 - 112627005*l**2 + 129066168*l + 257687472 = 0. What is l? -2317, -1, 4 Suppose 3*d**5/2 + 1707*d**4/2 + 16767*d**3/2 - 1707*d**2/2 - 8385*d = 0. Calculate d. -559, -10, -1, 0, 1 Factor -2*k**3/13 + 3126*k**2/13 - 1144710*k/13 - 60914350/13. -2*(k - 805)**2*(k + 47)/13 Factor -3*s**2/4 + 1581*s/2. -3*s*(s - 1054)/4 Find s such that -s**4/5 + s**3 + 2072*s**2/5 + 4116*s/5 = 0. -42, -2, 0, 49 Find g such that 3*g**4 - 4368*g**3 + 21786*g**2 - 30480*g + 13059 = 0. 1, 3, 1451 Solve y**3/7 + 5*y**2/7 - 204*y/7 = 0 for y. -17, 0, 12 Let -2*a**4/15 + 102536*a**3/15 - 1314101372*a**2/15 - 175234024*a - 87620430 = 0. What is a? -1, 25635 Let k**5/3 + 23*k**4/3 - 199*k**3/3 + 325*k**2/3 - 50*k = 0. Calculate k. -30, 0, 1, 5 Solve -11*k**5/3 - 388*k**4/3 - 815*k**3 - 5960*k**2/3 - 6244*k/3 - 784 = 0. -28, -3, -2, -14/11, -1 Determine f so that -4*f**5 - 392*f**4 + 4300*f**3 - 2560*f**2 - 43536*f - 36288 = 0. -108, -2, -1, 6, 7 Find x such that 3*x**4/7 - 915*x**3/7 + 8907*x**2/7 - 16725*x/7 - 26550/7 = 0. -1, 5, 6, 295 Suppose m**3/4 + 7467*m**2/2 + 55756089*m/4 = 0. Calculate m. -7467, 0 Solve b**5 + 63*b**4/2 + 338*b**3 + 3087*b**2/2 + 2916*b + 1890 = 0. -15, -7, -6, -2, -3/2 Factor 2*q**3 - 18086*q**2 + 18080*q + 36168. 2*(q - 9042)*(q - 2)*(q + 1) Suppose -2*r**2/7 - 230072*r/7 = 0. Calculate r. -115036, 0 Let -33*n**5 + 95*n**4/4 + 41*n**3 - 95*n**2/4 - 8*n = 0. What is n? -1, -1/4, 0, 32/33, 1 Factor 2*p**3/21 - 80*p**2/21 + 454*p/21 + 3224/21. 2*(p - 31)*(p - 13)*(p + 4)/21 Let 3*s**3 - 1032*s**2 + 64512*s + 4423680 = 0. What is s? -40, 192 Solve 8*u**2/3 - 233854*u/3 - 19488 = 0 for u. -1/4, 29232 Find b such that -3*b**3 + 291*b**2 + 23715*b - 2309283 = 0. -89, 93 Suppose 7*p**2/3 - 3662*p - 6280/3 = 0. Calculate p. -4/7, 1570 Find a such that a**5 + 139*a**4 - 711*a**3 + 1289*a**2 - 1006*a + 288 = 0. -144, 1, 2 Let -3*t**4/5 + 42*t**3/5 - 87*t**2/5 - 132*t/5 = 0. What is t? -1, 0, 4, 11 Factor -3*x**5/5 + 4*x**4 - 39*x**3/5 + 18*x**2/5. -x**2*(x - 3)**2*(3*x - 2)/5 Determine j so that 2*j**4/19 - 668*j**3/19 + 23352*j**2/19 + 49392*j/19 = 0. -2, 0, 42, 294 Let 2*a**3/7 + 1076*a**2/7
{ "pile_set_name": "DM Mathematics" }
374135, 594111, 886833? 1262693 What is next in 8387, 16783, 25179, 33575, 41971, 50367? 58763 What is the next term in -332430, -664862, -997294? -1329726 What comes next: 408421, 1633701, 3675835, 6534823? 10210665 What is the next term in -2545565, -5091132, -7636699, -10182266, -12727833, -15273400? -17818967 What comes next: 99, 613, 1965, 4575, 8863? 15249 What comes next: 1615, 1596, 1575, 1564, 1575, 1620, 1711? 1860 What is the next term in -13820, -27651, -41482? -55313 What comes next: -43, 38, 181, 392, 677, 1042, 1493, 2036? 2677 What is next in 4005, 3813, 3621, 3429, 3237, 3045? 2853 What is next in -95122, -95122, -95112, -95086, -95038, -94962, -94852? -94702 What is the next term in 22446, 22442, 22440, 22440, 22442, 22446? 22452 What is next in 357829, 357827, 357815, 357787, 357737? 357659 What is the next term in -8273, -16554, -24839, -33128? -41421 What is next in 4447, 4424, 4395, 4354, 4295, 4212, 4099? 3950 What is the next term in -146, 29, 320, 727, 1250, 1889, 2644? 3515 What is next in 86927, 86926, 86927, 86930, 86935, 86942, 86951? 86962 What is next in -60, -92, -78, 12, 208, 540, 1038, 1732? 2652 What is next in -19421, -19405, -19385, -19361, -19333, -19301, -19265? -19225 What is next in 1574, 1610, 1644, 1676, 1706, 1734, 1760? 1784 What is next in -84, -341, -934, -2031, -3800, -6409? -10026 What comes next: -389907, -779815, -1169723? -1559631 What is the next term in 1134, 2259, 3394, 4545, 5718, 6919, 8154? 9429 What is the next term in -34915, -34937, -34959? -34981 What is next in -23, 200, 419, 634, 845, 1052? 1255 What is the next term in 15797, 15586, 15375, 15164, 14953, 14742? 14531 What is next in -137749, -275494, -413239, -550984, -688729, -826474? -964219 What is next in 1768, 3475, 5182? 6889 What comes next: -100247, -200492, -300737, -400982, -501227, -601472? -701717 What comes next: -1876, -1818, -1718, -1570, -1368? -1106 What is the next term in -998, -1976, -2932, -3860, -4754, -5608? -6416 What is next in -220, -609, -1272, -2221, -3468, -5025, -6904, -9117? -11676 What is the next term in 469, 516, 561, 604, 645, 684, 721? 756 What is next in 2734, 5474, 8212, 10948, 13682, 16414, 19144? 21872 What comes next: 1408, 1688, 2468, 4000, 6536, 10328, 15628? 22688 What is next in 2341, 3892, 5441, 6988, 8533, 10076, 11617? 13156 What is next in 90, 347, 794, 1449, 2330, 3455? 4842 What comes next: 3155, 3104, 3035, 2954, 2867, 2780, 2699? 2630 What comes next: 430, 975, 1516, 2053, 2586? 3115 What is the next term in 38389, 76811, 115239, 153673? 192113 What is the next term in -17478, -17471, -17462, -17451, -17438, -17423? -17406 What is the next term in -868, -1560, -2252, -2944? -3636 What is next in -1052, -1081, -1160, -1295, -1492, -1757? -2096 What is the next term in 54232, 54235, 54240, 54247, 54256? 54267 What is next in -182, -175, -194, -251, -358, -527, -770? -1099 What is the next term in 255202, 255201, 255200, 255199? 255198 What is next in -164, -177, -190, -203, -216? -229 What comes next: 8923, 17848, 26773? 35698 What comes next: 1462, 1279, 1098, 919, 742, 567, 394? 223 What is the next term in -6577, -26334, -59263, -105364, -164637, -237082, -322699? -421488 What comes next: -59, -149, -263, -401, -563? -749 What comes next: -151, -434, -903, -1558, -2399, -3426? -4639 What is the next term in 10099, 10040, 9965, 9868, 9743? 9584 What comes next: 700, 1528, 2500, 3616, 4876? 6280 What is next in -15037, -15036, -15033, -15028, -15021, -15012, -15001? -14988 What is next in -3565, -28570, -96441, -228610, -446509, -771570, -1225225, -1828906? -2604045 What is next in 251, 1195, 2775, 4997, 7867, 11391, 15575, 20425? 25947 What is next in -1402, -2815, -4228, -5641, -7054? -8467 What is the next term in -99776, -99779, -99782, -99785, -99788? -99791 What is the next term in -4658, -18621, -41892, -74471? -116358 What comes next: 115080, 460288, 1035644, 1841154, 2876824? 4142660 What is next in -321351, -321350, -321349, -321348, -321347, -321346? -321345 What is next in -5389971, -5389973, -5389975? -5389977 What is next in -49447, -98883, -148319, -197755, -247191, -296627? -346063 What is the next term in -259, -262, -265, -268, -271, -274? -277 What is the next term in -289, -323, -379, -457, -557? -679 What is the next term in -106374, -212746, -319118, -425490, -531862, -638234? -744606 What is next in -2240, -2422, -2606, -2792, -2980? -3170 What comes next: 80, 338, 932, 2030, 3800, 6410, 10028? 14822 What comes next: 113062, 113064, 113066, 113068? 113070 What is the next term in 39, 81, 169, 321, 555, 889? 1341 What comes next: -40945, -40938, -40943, -40966, -41013, -41090, -41203? -41358 What is next in -702482, -1404960, -2107438, -2809916? -3512394 What is the next term in 73, 239, 663, 1465, 2765, 4683? 7339 What is next in 757, 1594, 2431, 3268? 4105 What is next in 2928, 2833, 2736, 2637? 2536 What is next in 156491, 312954, 469417, 625880, 782343? 938806 What is next in -27276, -27285, -27294, -27303? -27312 What is next in 448, 947, 1470, 2029, 2636, 3303, 4042, 4865? 5784 What comes next: -233, -237, -259, -311, -405, -553, -767? -1059 What comes next: 253, 1023, 2313, 4123, 6453? 9303 What is next in 41895, 41885, 41861, 41817, 41747, 41645? 41505 What is the next term in 123, -39, -309, -687, -1173? -1767 What is next in 39, 61, 85, 111, 139, 169, 201? 235 What is next in -394319, -394308, -394293, -394274, -394251? -394224 What comes next: -92, -195, -308, -431, -564, -707? -860 What is the next term in -686, -1014, -1560, -2324? -3306 What comes next: 1304, 5229, 11774, 20939, 32724, 47129? 64154 What is next in -24277, -96975, -218137, -387763? -605853 What is next in 2808, 2766, 2724, 2682, 2640, 2598? 2556 What comes next: 27, -156, -485, -978, -1653, -2528, -3621? -4950 What is the next term in 50100, 100198, 150296, 200394? 250492 What comes next: -2574, -10124, -22700, -40308, -62954, -90644, -123384, -161180? -204038 What comes next: -1573, -1551, -1513, -1459, -1389, -1303, -1201? -1083 What is the next term in -199, -596, -1163, -1822, -2495, -3104, -3571? -3818 What is next in 2433, 4853, 7273? 9693 What is next in 400, 693, 986? 1279 What comes next: -12, -33, -64, -117, -204, -337, -528, -789? -1132 What is next in -10554, -21093, -31632? -42171 What comes next: -1966, -3751, -5536, -7321, -9106? -10891 What is next in -112742, -112744, -112746, -112748, -112750? -112752 What is the next term in -16083, -16074, -16043, -15978, -15867, -15698? -15459 What is the next term in -436, -463, -490, -517, -544, -571? -598 What is next in 1729, 1597, 1245, 565, -551, -2211, -4523, -7595? -11535 What is the next term in -33, -588, -1133, -1662, -2169, -2648, -3093, -3498? -3857 What comes next: 2418, 2300, 1968, 1314, 230, -1392, -3660, -6682? -10566 What is next in -399, -890, -1465, -2130, -2891, -3754, -4725? -5810 What is the next term in 995, 4040, 9201, 16484, 25895, 37440, 51125? 66956 What is next in 4728, 5792, 6856, 7920? 8984 What is the next term in 574, 742, 912, 1084, 1258, 1434, 1612? 1792 What is next in -74, -269, -590, -1037, -1610? -2309 What comes next: 9, -9, -49, -123, -243? -421 What is the next term in -205, -390, -577, -766, -957? -1150 What comes next: 2158, 4087, 6016, 7945? 9874 What is the next term in 11093, 22185, 33267, 44339, 55401, 66453, 77495? 88527 What is the next term in -121, -578, -1741, -3964, -7601, -13006, -20533? -30536 What is next in 7327736, 7327737, 7327738, 7327739, 7327740? 7327741 What comes next: 7336, 14675, 22014, 29353, 36692? 44031 What comes next: -6347, -12767, -19185, -25601, -32015, -38427? -44837 What is the next term in 12466, 12464, 12462, 12460, 12458, 12456? 12454 What is next in 1412, 2884, 4356, 5828? 7300 What comes next: -3436, -6918, -10402, -13888? -17376 What is the next term in 700, 1467, 2234, 3001? 3768 What is the next term in -6234, -6233, -6232, -6231, -6230, -6229? -6228 What is the next term in -10079, -10063, -10107, -10241, -10495, -10899, -11483? -12277 What comes next: -256, -503, -922, -1513, -2276, -3211? -4318 What is the next term in 429, -208, -2971, -8922, -19123, -34636? -56523 What is the next term in -2288, -2426, -2564, -2702? -2840 What come
{ "pile_set_name": "DM Mathematics" }
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1 What is the millions digit of 1449112? 1 What is the millions digit of 2035578? 2 What is the ten thousands digit of 152546? 5 What is the ten thousands digit of 30259273? 5 What is the hundreds digit of 625139? 1 What is the thousands digit of 83625? 3 What is the thousands digit of 3817632? 7 What is the units digit of 38955740? 0 What is the hundred thousands digit of 2431078? 4 What is the tens digit of 169945? 4 What is the ten thousands digit of 6343194? 4 What is the thousands digit of 506552? 6 What is the hundreds digit of 100797? 7 What is the tens digit of 4666093? 9 What is the hundreds digit of 2004099? 0 What is the units digit of 6458009? 9 What is the hundreds digit of 108? 1 What is the hundreds digit of 1742397? 3 What is the ten thousands digit of 153138? 5 What is the tens digit of 1942? 4 What is the tens digit of 18034583? 8 What is the tens digit of 53661? 6 What is the units digit of 3993496? 6 What is the hundred thousands digit of 290623? 2 What is the thousands digit of 4658016? 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1 What is the units digit of 595236? 6 What is the hundreds digit of 31280? 2 What is the millions digit of 7346350? 7 What is the ten thousands digit of 484396? 8 What is the hundreds digit of 406300? 3 What is the thousands digit of 11389180? 9 What is the ten thousands digit of 1119515? 1 What is the ten thousands digit of 6212621? 1 What is the hundreds digit of 17268397? 3 What is the hundred thousands digit of 8130843? 1 What is the ten thousands digit of 4810197? 1 What is the hundreds digit of 432181? 1 What is the tens digit of 4150088? 8 What is the hundreds digit of 12635916? 9 What is the tens digit of 4478092? 9 What is the tens digit of 711302? 0 What is the units digit of 155029? 9 What is the millions digit of 1010640? 1 What is the hundred thousands digit of 9061573? 0 What is the hundred thousands digit of 2152442? 1 What is the ten thousands digit of 18279349? 7 What is the tens digit of 1153208? 0 What is the tens digit of 6034751? 5 What is the ten thousands digit of 394170? 9 What is the hundred thousands digit of 471474? 4 What is the hundred thousands digit of 1993463? 9 What is the thousands digit of 224893? 4 What is the ten thousands digit of 15311? 1 What is the tens digit of 9578823? 2 What is the ten thousands digit of 1158611? 5 What is the hundreds digit of 190445? 4 What is the ten thousands digit of 38754034? 5 What is the hundreds digit of 3166277? 2 What is the hundred thousands digit of 794564? 7 What is the hundreds digit of 396087? 0 What is the ten thousands digit of 24307872? 0 What is the hundred thousands digit of 1849016? 8 What is the hundreds digit of 781893? 8 What is the ten thousands digit of 494898? 9 What is the ten thousands digit of 34111? 3 What is the hundreds digit of 3534814? 8 What is the tens digit of 1177139? 3 What is the thousands digit of 67057? 7 What is the tens digit of 9535838? 3 What is the hundred thousands digit of 947482? 9 What is the tens digit of 2189830? 3 What is the units digit of 4477? 7 What is the ten millions digit of 15910409? 1 What is the hundred thousands digit of 969956? 9 What is the hundreds digit of 783539? 5 What is the thousands digit of 445393? 5 What is the hundreds digit of 126764? 7 What is the hundreds digit of 4340555? 5 What is the tens digit of 350379? 7 What is the ten thousands digit of 121021? 2 What is the hundred thousands digit of 537414? 5 What is the thousands digit of 10919567? 9 What is the tens digit of 3244650? 5 What is the thousands digit of 4272249? 2 What is the thousands digit of 2085992? 5 What is the hundreds digit of 243048? 0 What is the ten thousands digit of 2152813? 5 What is the units digit of 78858? 8 What is the units digit of 1224013? 3 What is the millions digit of 4968309? 4 What is the hundreds digit of 17314592? 5 What is the units digit of 2872920? 0 What is the millions digit of 1505365? 1 What is the ten thousands digit of 1776734? 7 What is the ten thousands digit of 68619? 6 What is the hundreds digit of 5666893? 8 What is the millions digit of 1019289? 1 What is the hundreds digit of 2461958? 9 What i
{ "pile_set_name": "DM Mathematics" }
(base 3) to base 15. 19d6c3 What is -10203103013 (base 4) in base 6? -41323515 Convert -1020021021112 (base 3) to base 7. -5365112 -1101001101010011 (base 2) to base 11 -37711 What is -401014135 (base 6) in base 13? -152c357 -63752 (base 9) to base 11 -29754 What is -3937748 (base 11) in base 5? -3221141111 Convert 2897747 (base 10) to base 15. 3c38d2 Convert 13bb019 (base 15) to base 14. 1c73b38 102000021220 (base 3) to base 13 77853 20004231 (base 5) to base 6 3210000 What is -2616b (base 16) in base 7? -1216562 What is e2829 (base 15) in base 8? 2571033 Convert -238768 (base 9) to base 2. -100011001101110010 Convert -31182 (base 13) to base 4. -111201123 What is -353424 (base 9) in base 4? -303320011 What is 8060337 (base 9) in base 13? b73271 What is 1102004 (base 11) in base 5? 443412103 10402313 (base 5) to base 16 1634e -11432a (base 12) to base 16 -439d2 -1313372 (base 8) to base 16 -596fa Convert 130872 (base 9) to base 5. 10020240 11245566 (base 7) to base 16 f0d32 What is -18d94 (base 15) in base 16? -13b31 2747150 (base 13) to base 12 4191992 201437 (base 9) to base 4 131012101 10ab28b (base 14) to base 2 11110010011100011001011 Convert 212230302011 (base 4) to base 13. 2142800 -215226 (base 12) to base 13 -156060 1280a5 (base 12) to base 7 2405015 Convert 19a2306 (base 12) to base 4. 110233110312 Convert 11011110111101000 (base 2) to base 4. 123313220 -20020210020 (base 3) to base 10 -123045 Convert 1010b29 (base 12) to base 5. 1232231322 12020023321 (base 4) to base 16 1882f9 620502 (base 9) to base 16 59ccf -330002232 (base 4) to base 11 -158857 Convert 11127a (base 12) to base 2. 1000010010100111110 ba48 (base 14) to base 16 7dd0 26556040 (base 7) to base 5 1111413411 62654 (base 7) to base 3 210011022 Convert -123434225 (base 7) to base 8. -35721762 What is -2894974 (base 11) in base 2? -10010111101010101000001 What is -303030403 (base 5) in base 16? -12a078 What is 72833 (base 15) in base 4? 1120213131 Convert -440b2 (base 14) to base 5. -20233141 What is 6268573 (base 10) in base 12? 2123791 -20246753 (base 8) to base 16 -414deb Convert -abc0c (base 15) to base 9. -1022073 Convert 62c44 (base 16) to base 15. 7eced Convert 110100010010101001 (base 2) to base 9. 355723 Convert -1d63d (base 16) to base 12. -597b9 111111111000011000100011 (base 2) to base 13 36142b4 Convert -15005321 (base 7) to base 5. -330214130 What is 78ad (base 14) in base 2? 101000111000001 108434 (base 9) to base 15 144e1 What is 796a31 (base 11) in base 4? 10311222010 -b422b (base 16) to base 2 -10110100001000101011 What is -1826c (base 16) in base 15? -1e49e Convert 7baa01 (base 14) to base 13. b48420 Convert -d2e3 (base 16) to base 4. -31023203 What is -4443000401 (base 5) in base 7? -145512253 Convert 172922 (base 16) to base 3. 2212010002222 -8643047 (base 9) to base 5 -2141244141 Convert 11101122121 (base 3) to base 2. 10101000111100001 What is 4314009 (base 10) in base 15? 5a3359 What is -22243144 (base 7) in base 12? -78abb4 What is 5b218 (base 12) in base 9? 206642 What is -444020002 (base 5) in base 3? -10122111110122 What is -1112110010111 (base 3) in base 7? -6635362 -16030 (base 14) to base 11 -3829a 10001110100110001110 (base 2) to base 16 8e98e Convert -2370744 (base 8) to base 3. -1020010000211 What is 106874 (base 11) in base 14? 45db0 What is -32a54 (base 12) in base 13? -2475a What is 10010101001100100111000 (base 2) in base 3? 100012101021221 Convert -148a9 (base 15) to base 9. -110576 Convert -267454 (base 9) to base 7. -1246021 Convert 335774 (base 11) to base 7. 4354526 What is -22012744 (base 8) in base 10? -4724196 Convert -11022232010 (base 4) to base 5. -321322003 -202232311 (base 4) to base 15 -2c241 Convert -150564 (base 10) to base 7. -1164651 Convert 3caa2 (base 13) to base 4. 123303031 2569204 (base 11) to base 6 235202400 What is -3312001 (base 4) in base 10? -15745 What is 6862be (base 15) in base 4? 103000111301 -340223 (base 8) to base 9 -184464 Convert 1231321010 (base 4) to base 15. 8d57b Convert -110102210222012 (base 3) to base 11. -3805069 80b4a (base 13) to base 16 38409 What is 301430 (base 9) in base 11? 1119a5 What is 7356763 (base 8) in base 16? 1dddf3 -123607 (base 9) to base 12 -37397 What is -207575 (base 12) in base 13? -14b517 11100111010001000001001 (base 2) to base 8 34721011 Convert a318 (base 12) to base 11. 12360 What is 55506 (base 13) in base 4? 211300101 -31524 (base 12) to base 9 -107651 140503143 (base 6) to base 13 78526b Convert -1917326 (base 12) to base 7. -62461452 113322241 (base 5) to base 12 21488b Convert -12564 (base 15) to base 3. -2222101011 Convert -4a7b97 (base 12) to base 3. -2021210200221 What is 5755d (base 14) in base 15? 42dbb What is -176433c (base 13) in base 16? -74112c What is 5016769 (base 11) in base 6? 514205214 2201030133 (base 4) to base 9 1215626 What is 21c13 (base 13) in base 14? 18511 Convert 2333132020 (base 4) to base 2. 10111111011110001000 -100110110001111011 (base 2) to base 4 -212301323 -20133332 (base 4) to base 14 -c98a 10001100101101 (base 2) to base 8 21455 Convert -455250013 (base 6) to base 3. -120202102020100 Convert 21101121100 (base 4) to base 12. 992694 6273c (base 15) to base 9 525143 Convert 1545215 (base 6) to base 8. 263353 -15967 (base 14) to base 6 -1053543 Convert -50112 (base 12) to base 9. -167385 173117 (base 10) to base 13 60a49 Convert -1251332 (base 8) to base 6. -11251122 Convert 155ac (base 16) to base 13. 30a74 44105033 (base 6) to base 7 14115351 Convert -c2e30 (base 15) to base 3. -1011100222100 -221210432 (base 5) to base 14 -1adc7b What is 210122202002101 (base 3) in base 15? 1025361 What is 1011212222200 (base 3) in base 14? 124a4c 5805370 (base 9) to base 8 13750154 -202443 (base 8) to base 16 -10523 What is 575320 (base 13) in base 2? 111111000110111000110 -14543524 (base 6) to base 9 -858537 99b33 (base 15) to base 9 824113 What is -37bd0 (base 14) in base 16? -2165a 19954 (base 12) to base 14 da12 What is 2761161 (base 8) in base 9? 1416355 Convert -338717 (base 9) to base 14. -540d7 What is 4022940 (base 10) in base 11? 22a8549 What is -1101011001111011101011 (base 2) in base 3? -20121112102112 What is 11a9b7 (base 14) in base 2? 10010011110110100101 What is 11001010011101000 (base 2) in base 14? 29ac0 21523524 (base 7) to base 9 3436350 What is -324402 (base 9) in base 6? -4051515 What is -10011111000010110011111 (base 2) in base 15? -6ce26b Convert 13334661 (base 7) to base 10. 1235823 -12a90 (base 11) to base 7 -105156 147cbb0 (base 14) to base 4 212011233112 Convert 22120021122000 (base 3) to base 15. 5edc90 What is 10101111111110111011 (base 2) in base 4? 2233332323 What is -100010120021201 (base 3) in base 15? -65ce91 Convert 144acd (base 14) to base 16. ac05d 13666306 (base 7) to base 4 10323321331 What is -1bb1a8 (base 12) in base 3? -221012200002 What is -477303 (base 15) in base 10? -3416178 -4124001234 (base 5) to base 12 -29a1a71 -100110110110001011100111 (base 2) to base 16 -9b62e7 Convert 15da1 (base 14) to base 11. 38211 Convert 1828432 (base 10) to base 16. 1be650 -47725 (base 11) to base 3 -10111022111 What is 12241 (base 15) in base 9? 87357 What is 1230142 (base 6) in base 16? 1026e -56771 (base 9) to base 12 -19a6a Convert 1a0b173 (base 13) to base 2. 100000101010110111001001 What is -74a7c (base 13) in base 3? -101200202121 Convert -a332 (base 13) to base 3. -1010220000 -13d7bb (base 15) to base 9 -1717525 Convert 76378 (base 9) to base 3. 2120102122 Convert -24223115 (base 6) to base 4. -2322312113 What is 19412 (base 15) in base 5? 10110132 What is -9970a3 (base 12) in base 10? -2438331 Convert 5b1ac (base 16) to base 9. 627786 What is 160596 (base 11) in base 6? 5203331 What is 3984751 (base 10) in base 14? 75a251 What is -201102113 (base 4) in base 16? -21497 Convert 42016 (base 12) to base 10. 86418 15883 (base 16) to base 3 11110222111 100001111111100001000 (base 2) to base 16 10ff08 -217786 (base 10) to base 9 -361664 What is -1001564 (base 7) in base 4? -130320023 -3bda3 (base 15) to base 11 -121347 What is -12010151 (base 6) in base 13? -101683 What is 423633 (base 7) in base 11? 50147 Convert 2256561 (base 9) to base 16. 12983b What is 864 (base 13) in base 11? 1094 -1220213333 (base 5)
{ "pile_set_name": "DM Mathematics" }
(w) = -3*w + 4*w + 0*w + 14 + 10*w. Is k(7) composite? True Suppose 0*q + 40 = 5*q. Suppose -5*h = -q - 2. Suppose -t - h*u = -27, -7*t + 72 = -3*t - u. Is t a prime number? True Let n(a) be the second derivative of 13*a**4/6 + 7*a**3/6 - 3*a**2 + 12*a. Is n(5) a prime number? False Let v(k) = 379*k - 4. Let l be v(-1). Is 1 + -2 - (l + 3) a prime number? True Let j be (-30)/(-135) - (-94)/(-18). Is (-1594)/(j + 1 - -2) a prime number? True Let o = -26 + 28. Let l(n) = 39*n**3 + 5*n**2 - 3*n. Is l(o) a prime number? False Let x(t) = 36*t - 6. Let g be x(8). Let f = g - -164. Is f a composite number? True Let f = -12 - -16. Let q be (-116)/(-36) - f/18. Is (2/q)/(12/6228) a composite number? True Suppose 0 = -5*t + j + 100502, 0 = t - 4*t + 2*j + 60297. Is t composite? False Suppose -3*s + 6*s - 4*z - 3778 = 0, -s = -z - 1258. Suppose p + 2098 = 5*c, -s = -7*c + 4*c - p. Is c composite? False Let a(i) = -29*i + 6115. Is a(0) a prime number? False Let v = 12 - 4. Suppose -80 = -3*q - v. Is 3/(-2)*(-2576)/q prime? False Suppose 0 = 2*k - 2*r + 2, -1 + 0 = -2*k + r. Suppose w = k*w - 293. Is w composite? False Let b(w) = w**3 - 17*w**2 + 20. Let c be b(17). Let u be ((-16)/c)/((-4)/10). Suppose -o = u*o - 381. Is o a prime number? True Let j = 3 + 3. Suppose -9*h + j*h = -447. Is h a composite number? False Is (1/3)/((-2)/18) - -824 prime? True Let k be -3 + 6 + -2 - 0. Suppose -2*s + k = -5. Suppose 0*b + 228 = s*b - 5*r, -5*b + 3*r = -364. Is b a prime number? True Let z(c) = -c**2 + 6*c - 5. Let r be z(5). Suppose t - 141 = -r*t. Let u = -14 + t. Is u prime? True Let g(c) = -360*c + 353. Is g(-16) a prime number? True Let u(x) = x**2 - 3*x - 16. Let c be u(6). Suppose 4*w - 5477 = -3*b, -2*b - c*w - 1819 = -3*b. Is b composite? False Suppose 2514 = 4*z + 2*z. Suppose 0*i = s + 2*i - 196, -2*s + 5*i + z = 0. Is s a composite number? True Suppose -2*r = i - 8218 - 929, -5*i + 25 = 0. Is r composite? True Suppose -3*v - 2*s + 7819 = 0, -2*v + 5*s = -4146 - 1054. Is v prime? False Let c = -14018 + 25219. Is c a prime number? False Let n = 5 - 2. Suppose -q - 22 = -5*z + n, -2*z + 10 = 2*q. Suppose 2*h + 3*h + 193 = 2*f, z = h. Is f a prime number? True Let n(j) be the first derivative of j**5/30 - 7*j**4/24 + 7*j**3/6 - 7*j**2/2 - 7. Let t(w) be the second derivative of n(w). Is t(-12) prime? True Let s = -33 + 38. Suppose -3*a - 2*n + 5275 = 0, 4*n + n + 8800 = 5*a. Suppose s*u = -464 + a. Is u prime? False Let h(p) = -p**2 - 5*p + 5. Let x be h(-5). Suppose -2*i + 9 = 5*y, x*y + 2*i - i = 12. Suppose t - z - 396 = -26, y = 3*z. Is t a composite number? True Let j(r) = 2*r + 33. Let x be j(-14). Suppose -4*h = -z + 527, -z + x*h = -3*z + 1119. Is z a prime number? True Let a(b) = b**3 - 2*b**2 + b. Let d be a(0). Suppose 2256 + 5194 = 4*s + 2*r, d = -5*r + 15. Is s prime? True Let o = 26 + -23. Let s be (7 - 1)*2/o. Suppose 2*z - 22 = -4*u + 3*u, -s*u = 2*z - 10. Is z a composite number? False Let p(b) = 2*b**3 - 11*b**2 - 23*b + 9. Let t(y) = -y**3 + 9*y**2 - y + 19. Let h be t(9). Is p(h) a composite number? True Let m = 51 - 65. Suppose 6 - 46 = -2*k. Is k/(-70) + (-1488)/m composite? True Let n = 2031 + -472. Is n a prime number? True Suppose 23 = 7*w - 5. Is (-7794)/(-14) + 3/42*w a prime number? True Is (88846/6 - -4) + (-20)/(-15) a composite number? False Suppose -712 = -2*o - 2*h, 2*o + 0*o = -3*h + 708. Suppose 2*k - 290 = -4*w + o, 5*w - 4*k - 793 = 0. Is w composite? True Suppose -5*c + 4*d - 3 = -20, -16 = -2*c - 3*d. Suppose c*j - 3*f - 266 = 0, 3*j - 2*f = -29 + 188. Is j a composite number? True Let v(c) = -c**2 + 16*c - 16. Let q be v(-23). Is (q/(-2))/(-6 - 65/(-10)) composite? True Suppose 17*i + 18739 = 51566. Is i a composite number? False Suppose 0*t - 3*t = -6, -t = 2*w - 10. Suppose 3*c - 2225 - 613 = 0. Suppose w*i + 458 = 2*u, -4*u + 0*u + 2*i = -c. Is u a prime number? True Let w = -66667 + 112686. Is w a composite number? True Let p = 6934 - -5127. Is p a composite number? True Let o(c) be the second derivative of -2/3*c**3 - 6*c + 0 + 0*c**4 + 1/2*c**2 + 1/2*c**5. Is o(3) a composite number? True Let m(k) = 621*k + 17. Let p be m(5). Suppose -p - 315 = -4*g - 5*d, 4*g - 5*d - 3387 = 0. Is g a prime number? True Let c be (-135)/10*(-76)/6. Suppose 4*l - 5*z - 176 = 0, 5*l - 5*z - c = 54. Is l a prime number? False Let b(q) = q**2 + 2*q + 6. Let s be b(3). Is (-4 - s/(-6))*2*-691 prime? True Let q = -122 - -265. Is q prime? False Suppose 5*p + 4*j - 1 - 7 = 0, -p + 1 = j. Suppose 1068 = -5*u + 6*u. Suppose 0 = -p*t + 104 + u. Is t a composite number? False Is 2325/1 + (-2)/(-8)*16 a prime number? False Let z(n) be the second derivative of -n**8/6720 - n**6/360 - n**5/20 + n**4/3 - 8*n. Let m(r) be the third derivative of z(r). Is m(-5) prime? False Is 7 + 1691 - (-49)/(-7) a composite number? True Suppose -12 = -4*l, -t = -2*l - 1864 - 10641. Is t a composite number? False Let w be (-2)/(-4)*(0 - 4). Let p be (-2)/(-8) - (-278)/8. Is w/(-5) - (-4571)/p a prime number? True Let t(j) = 31*j**2 - 8*j - 14. Let r(g) = 94*g**2 - 24*g - 41. Let a(u) = 3*r(u) - 8*t(u). Is a(-6) a prime number? False Let w(k) = 17*k**2 - 50*k - 264. Is w(29) composite? False Let d = 118 + -115. Is 1499/((1/(-3))/((-1)/d)) composite? False Suppose 0 = -37*u + 367743 + 219706. Is u composite? False Let v(u) = 92*u - 25. Let j be v(-9). Let n = j + 1242. Is n prime? True Let f(m) = 7*m - 4 - 2*m + 0*m. Let o be f(6). Let x = 117 + o. Is x a composite number? True Let f(h) = 2*h - 7. Let w = 4 + 1. Let r be f(w). Suppose r*t + 172 - 445 = 0. Is t prime? False Suppose -5*q + 33643 = 2*n, 10*q - 4*n = 15*q - 33641. Is q a composite number? True Let r(l) = 47*l**2 + 14*l + 5. Suppose 0*k = 5*k + 20. Is r(k) prime? True Let j(u) = -39*u + 15. Let t be j(-14). Let v = t - -448. Is v a prime number? True Is ((8 - 450869)/1)/(-3 - 0) a prime number? True Let j(o) = -12*o - 5 - 12*o + 25*o. Let i be j(0). Is i/15 + 404/6 a prime number? True Let n(o) = 10*o**3 - 7*o - 8. Let i(v) = -v**3 + v + 1. Let y(z) = 6*i(z) + n(z). Let j be y(4). Suppose 0 = 4*m - 138 - j. Is m a composite number? False Let a(z) = 67*z + 35191. Is a(0) composite? True Suppose h + 3*a - 15309 = -h, -38260 = -5*h - 5*a. Let r = h + -4006. Is r a prime number? False Let w(m) = -4*m**3 + 4*m**2 + 8*m - 2. Let x be w(-6). Suppose -182 = 4*s - x. Is s a composite number? True Suppose -5*n = -w + 11, -20 = 4*w + w. Let x = n - -15. Let s(z) = 8*z + 10. Is s(x) composite? True Suppose 20 = 5*j + 4*f, -3*j + 25 = -f + 6*f. Suppose -4*g - 8 = j, 0*q + 5076 = 4*q - 4*g. Is q a composite number? True Let i = -7171 + 19782. Is i prime? True Let w = -15 - -18. Let u be (2/(-6))/(w/(-7893)). Let z = u - 606. Is z a composite number? False Let j = 5145 + -1486. Is j prime? True Let b(t) be the first derivative of -t**2 - 7/3*t**3 - 1/4*t**4 + 7 + 7*t. Is b(-7) a prime number? False Let h = -14733 + 39916. Is h a composite number? False Suppose -f = 5*r - 4*r + 2, 0 = r + 3*f + 10. Suppose 18740 = r*b + b - l, 18737 = 3*b - 4*l. Is b a composite number? False Suppose -178 = -2*i + 1168. Is i a composite number? False Let r(q) = -18*q**2 + q - 1. Let j be r(1). Is (-3)/j - (-262)/12 a prime number? False Let l(h) = -4*h**3 - 4*h**2 - 40*h + 17. Is l(-19) a prime number? False Let a(i) = -5*i - 6*i - 39*i**3 + 4*i - 1. Is a(-3) a composite number? True Suppose 3*m - 4*c = 31, -3*m = -m + 3*c - 15. Suppose k = 5*i + m, -2*k + 2*i = -i - 18. Suppose 3*f - 147 = -k. Is f a composite number? True Suppose -5*v + 2 = -4*v. Suppose -j - v*r + 21 = 0, -3*r - 77 - 29 = -4*j. Is j composite? True Suppose -272424 = -26*j + 2*j. Is j composite? False Let z be ((-8)/44 - (-20)/(-11)) + 1. Is 1*(4 - (-1190 - z)) prime? True Suppose 2*u + 44 = -4*k + 260, 3*k = 5*u + 162. Let z be ((-6)/(-9))/((-6)/k). Is z/(-4)*(-1016)/(-12) a prime number? True Suppose 13*p - 2631 = 2738. Suppose 2*g = -5*g + p. Is g a prime number? True Let g(l) = -26*l - 179. Is g(-15) prime? True Let g(y) = 80*y**2 - 1. Suppose -3*d = 5*i - 11, -i = 2*d - 4 + 6. Suppose 5*f + i*c + 1 = 4, -6 = 4*f - c. Is g(f) prime? True Let q = 977 + -549. Suppose q = j - 4*f, 1963 = 5*j - 4*f - 145. Suppose 0 = -z + 3*b + 220, -5*b - j = -2*z - 3*b. Is z
{ "pile_set_name": "DM Mathematics" }
om xjsjy. Give prob of sequence syx. 1/60 Calculate prob of sequence cz when two letters picked without replacement from {h: 2, r: 2, d: 1, c: 3, b: 8, z: 1}. 3/272 What is prob of sequence ngg when three letters picked without replacement from {n: 1, g: 3}? 1/4 Two letters picked without replacement from {q: 1, p: 1, r: 2, d: 1, m: 4}. What is prob of sequence qd? 1/72 Two letters picked without replacement from zbzbbbmz. Give prob of sequence bb. 3/14 What is prob of sequence ghgg when four letters picked without replacement from hghgg? 1/10 Calculate prob of sequence jkm when three letters picked without replacement from jmkccj. 1/60 Calculate prob of sequence mmzz when four letters picked without replacement from mmmmmmmzzmmm. 1/66 Two letters picked without replacement from adccatdaaaaaatda. Give prob of sequence dd. 1/40 What is prob of sequence aa when two letters picked without replacement from gaggggagg? 1/36 Two letters picked without replacement from hgqgzgtgzg. What is prob of sequence zt? 1/45 Four letters picked without replacement from {k: 1, d: 2, f: 3, x: 2, i: 1, h: 8}. What is prob of sequence hdff? 1/595 Calculate prob of sequence mbrn when four letters picked without replacement from rrtrrboomtnrot. 5/24024 Two letters picked without replacement from ahaha. Give prob of sequence ah. 3/10 What is prob of sequence cp when two letters picked without replacement from lzuxulcpuxxuu? 1/156 Three letters picked without replacement from {k: 1, j: 6, v: 1, o: 7}. Give prob of sequence ojv. 1/65 Three letters picked without replacement from {f: 1, s: 2, c: 1, t: 1}. Give prob of sequence sst. 1/30 Three letters picked without replacement from bbbbbbbdbdddbb. What is prob of sequence dbb? 15/91 Two letters picked without replacement from eeekelieilkeleieeeee. What is prob of sequence kk? 1/190 Calculate prob of sequence vkvk when four letters picked without replacement from vkvvvvkkvvvkvkvvvv. 13/306 Three letters picked without replacement from {v: 2, p: 3, s: 3, e: 5}. Give prob of sequence pse. 15/572 What is prob of sequence bff when three letters picked without replacement from {q: 2, b: 4, f: 7}? 14/143 What is prob of sequence efre when four letters picked without replacement from eeferfffer? 2/105 Two letters picked without replacement from ppzzpzpzzz. What is prob of sequence zp? 4/15 What is prob of sequence vzb when three letters picked without replacement from {f: 3, e: 3, z: 2, t: 2, b: 1, v: 1}? 1/660 Calculate prob of sequence ii when two letters picked without replacement from iii. 1 Two letters picked without replacement from skbdn. What is prob of sequence sb? 1/20 What is prob of sequence kkq when three letters picked without replacement from {k: 10, g: 2, q: 6}? 15/136 Two letters picked without replacement from tfetttetftttttt. What is prob of sequence ff? 1/105 Three letters picked without replacement from {l: 4, g: 4, o: 4, c: 1, r: 3}. Give prob of sequence olg. 2/105 What is prob of sequence ddk when three letters picked without replacement from {d: 7, k: 2, u: 8, y: 3}? 7/570 What is prob of sequence ku when two letters picked without replacement from {k: 2, m: 1, f: 3, p: 4, u: 2}? 1/33 Calculate prob of sequence gr when two letters picked without replacement from {f: 3, g: 4, x: 4, q: 2, r: 3, y: 1}. 3/68 Calculate prob of sequence xj when two letters picked without replacement from xxkkkjjjjjk. 1/11 Calculate prob of sequence byq when three letters picked without replacement from bbbbybybybybybybq. 1/68 Two letters picked without replacement from {f: 1, h: 2, v: 1, i: 2}. What is prob of sequence fh? 1/15 Calculate prob of sequence vc when two letters picked without replacement from {e: 4, p: 1, c: 1, x: 6, k: 4, v: 3}. 1/114 Two letters picked without replacement from maydddmymdmuy. Give prob of sequence yu. 1/52 What is prob of sequence rb when two letters picked without replacement from nrb? 1/6 Calculate prob of sequence ewn when three letters picked without replacement from {w: 10, c: 2, e: 1, n: 1, i: 3, r: 2}. 5/2907 Four letters picked without replacement from {b: 2, q: 4, o: 2}. Give prob of sequence qqqo. 1/35 Four letters picked without replacement from sfssfffsfdsl. What is prob of sequence ldlf? 0 What is prob of sequence uiv when three letters picked without replacement from zzuzvyvzvzzviiy? 4/1365 Calculate prob of sequence aa when two letters picked without replacement from {a: 9}. 1 What is prob of sequence cc when two letters picked without replacement from {e: 1, q: 2, c: 3, y: 1}? 1/7 Four letters picked without replacement from {j: 3, c: 4}. Give prob of sequence ccjc. 3/35 Three letters picked without replacement from {o: 9, w: 1, k: 3, v: 3, i: 2}. Give prob of sequence kii. 1/816 What is prob of sequence nf when two letters picked without replacement from {h: 5, o: 2, f: 3, n: 1, t: 1, k: 1}? 1/52 Four letters picked without replacement from {q: 1, u: 1, t: 1, d: 2, p: 1, r: 1}. Give prob of sequence qpdt. 1/420 Three letters picked without replacement from lzzayzzzaazzzzzzlzz. Give prob of sequence azl. 13/969 What is prob of sequence lhh when three letters picked without replacement from {h: 11, l: 2}? 5/39 What is prob of sequence vt when two letters picked without replacement from vvvvvtvtvtvv? 9/44 Three letters picked without replacement from aaaaaaaaaaafa. What is prob of sequence faa? 1/13 What is prob of sequence kn when two letters picked without replacement from knkovvrorvoovovr? 1/120 Four letters picked without replacement from foffffof. What is prob of sequence ooff? 1/28 What is prob of sequence sp when two letters picked without replacement from {w: 3, z: 1, i: 4, s: 1, v: 4, p: 1}? 1/182 Three letters picked without replacement from {u: 12, k: 3, g: 1}. Give prob of sequence kuk. 3/140 What is prob of sequence rkii when four letters picked without replacement from riiqiikx? 1/140 Three letters picked without replacement from {w: 4, y: 6, b: 5}. Give prob of sequence bwb. 8/273 Four letters picked without replacement from {x: 2, g: 3, z: 1, p: 10}. Give prob of sequence ggzg. 1/7280 What is prob of sequence zxz when three letters picked without replacement from {z: 4, x: 6}? 1/10 Calculate prob of sequence yyyy when four letters picked without replacement from yccyyyy. 1/7 Four letters picked without replacement from {q: 3, w: 7}. What is prob of sequence qqwq? 1/120 Two letters picked without replacement from wwwxbxlpxppcbpbppp. What is prob of sequence bb? 1/51 Calculate prob of sequence xz when two letters picked without replacement from {m: 1, z: 1, t: 1, x: 5, u: 1}. 5/72 Three letters picked without replacement from vvvevevvvveedvewv. What is prob of sequence dvv? 3/136 Three letters picked without replacement from {i: 1, y: 8, h: 1, u: 6}. Give prob of sequence huu. 1/112 Four letters picked without replacement from hhssehehshshhh. Give prob of sequence hhse. 8/429 Three letters picked without replacement from ieieeeeiiee. Give prob of sequence iei. 14/165 Four letters picked without replacement from gqnqeqd. What is prob of sequence negq? 1/280 Two letters picked without replacement from lwwwwlwwww. Give prob of sequence ww. 28/45 Calculate prob of sequence ijhi when four letters picked without replacement from {j: 1, i: 2, n: 4, l: 2, h: 2, f: 9}. 1/29070 What is prob of sequence xx when two letters picked without replacement from cmxcccccmcmmm? 0 What is prob of sequence myy when three letters picked without replacement from tqynctmy? 1/168 Two letters picked without replacement from lllddldllllllldlllll. Give prob of sequence ld. 16/95 Calculate prob of sequence uw when two letters picked without replacement from uvuwuuww. 3/14 Calculate prob of sequence gc when two letters picked without replacement from {g: 1, n: 2, j: 1, c: 2}. 1/15 Three letters picked without replacement from {g: 9, z: 5}. Give prob of sequence ggg. 3/13 Calculate prob of sequence mm when two letters picked without replacement from mmmqmmmmmmmmm. 11/13 Calculate prob of sequence aai when three letters picked without replacement from aaaaaaaaiaaaiaaaai. 35/272 Three letters picked without replacement from {k: 16, p: 3, j: 1}. Give prob of sequence kpk. 2/19 Two letters picked wit
{ "pile_set_name": "DM Mathematics" }
1, -2775405751? -555081150*o - 1 What is the w'th term of -14152, -14016, -13880, -13744, -13608? 136*w - 14288 What is the l'th term of 40389816, 80779632, 121169444, 161559252, 201949056, 242338856? -2*l**2 + 40389822*l - 4 What is the t'th term of 263220, 263325, 263500, 263745? 35*t**2 + 263185 What is the l'th term of -1450, -2025, -824, 3041, 10458? 148*l**3 - 1611*l + 13 What is the n'th term of 25459, 54456, 83453, 112450? 28997*n - 3538 What is the o'th term of 309, -647, -1623, -2619, -3635, -4671, -5727? -10*o**2 - 926*o + 1245 What is the i'th term of -13573, -26917, -40261? -13344*i - 229 What is the s'th term of -143481, -139963, -130411, -111807, -81133, -35371? 503*s**3 - s**2 - 143983 What is the q'th term of -1907, -988, -69? 919*q - 2826 What is the a'th term of 1029289, 2058546, 3087803, 4117060? 1029257*a + 32 What is the v'th term of -7122, -29169, -65920, -117381, -183558? -v**3 - 7346*v**2 - 2*v + 227 What is the v'th term of 572676, 2290662, 5153982, 9162642, 14316648, 20616006, 28060722? v**3 + 572661*v**2 - 4*v + 18 What is the n'th term of -33070126, -33070125, -33070124, -33070123? n - 33070127 What is the d'th term of 4574, 17425, 38552, 67949, 105610, 151529, 205700? -d**3 + 4144*d**2 + 426*d + 5 What is the j'th term of -17667, -35186, -52719, -70272, -87851? -j**3 - j**2 - 17509*j - 156 What is the b'th term of 258411, 258450, 258489, 258528, 258567? 39*b + 258372 What is the y'th term of 4049, 41897, 104977, 193289, 306833, 445609? 12616*y**2 - 8567 What is the s'th term of -130869, -130826, -130783, -130740, -130697, -130654? 43*s - 130912 What is the f'th term of -5087, -24570, -44053, -63536, -83019, -102502? -19483*f + 14396 What is the u'th term of -38534, -38873, -39436, -40223, -41234? -112*u**2 - 3*u - 38419 What is the w'th term of -13, 432, 1185, 2246, 3615? 154*w**2 - 17*w - 150 What is the j'th term of 333745, 667493, 1001241, 1334989? 333748*j - 3 What is the r'th term of -446899, -893773, -1340627, -1787461, -2234275? 10*r**2 - 446904*r - 5 What is the g'th term of 54879, 54627, 54375, 54123? -252*g + 55131 What is the g'th term of 41031406, 82062822, 123094238, 164125654, 205157070, 246188486? 41031416*g - 10 What is the r'th term of 4390, 8553, 12510, 16273, 19854? 2*r**3 - 115*r**2 + 4494*r + 9 What is the x'th term of -85638, -171241, -256842, -342441, -428038, -513633? x**2 - 85606*x - 33 What is the k'th term of 85, 1027, 3697, 8989, 17797? 149*k**3 - 30*k**2 - 11*k - 23 What is the a'th term of -32512, -59394, -86276? -26882*a - 5630 What is the j'th term of -8253, -31737, -70437, -124353? -7608*j**2 - 660*j + 15 What is the d'th term of 401958, 803939, 1205938, 1607949, 2009966, 2411983, 2813994? -d**3 + 15*d**2 + 401943*d + 1 What is the z'th term of -636664, -1275278, -1913892? -638614*z + 1950 What is the j'th term of 2002, 3314, 4630, 5950, 7274, 8602? 2*j**2 + 1306*j + 694 What is the f'th term of -426345, -851910, -1277475, -1703040, -2128605, -2554170? -425565*f - 780 What is the u'th term of -1472422, -2944844, -4417266, -5889688, -7362110? -1472422*u What is the l'th term of 8092944, 16185885, 24278826, 32371767, 40464708? 8092941*l + 3 What is the h'th term of -459, -829, -1115, -1257, -1195, -869, -219, 815? 10*h**3 - 18*h**2 - 386*h - 65 What is the z'th term of 230, 310, 378, 428, 454, 450? -z**3 + 87*z + 144 What is the v'th term of -38211, -152365, -342621, -608979, -951439? -38051*v**2 - v - 159 What is the p'th term of 20894, 40996, 61104, 81218, 101338, 121464? 3*p**2 + 20093*p + 798 What is the d'th term of 4377, 35158, 118757, 281598, 550105, 950702, 1509813? 4404*d**3 - 15*d**2 - 2*d - 10 What is the q'th term of 119207, 118774, 118051, 117038? -145*q**2 + 2*q + 119350 What is the g'th term of 53589, 52358, 50307, 47436, 43745, 39234? -410*g**2 - g + 54000 What is the h'th term of -9733, -39149, -88181, -156829, -245093, -352973, -480469? -9808*h**2 + 8*h + 67 What is the y'th term of -291139, -582294, -873449, -1164604, -1455759, -1746914? -291155*y + 16 What is the f'th term of -9362, -37399, -84090, -149399, -233290? 6*f**3 - 9363*f**2 + 10*f - 15 What is the c'th term of 40590, 41240, 42322, 43836, 45782? 216*c**2 + 2*c + 40372 What is the t'th term of 112397, 224799, 337201, 449603? 112402*t - 5 What is the m'th term of -30438, -121841, -274208, -487563, -761930, -1097333, -1493796, -1951343? -4*m**3 - 30458*m**2 - m + 25 What is the n'th term of 464579, 464494, 464413, 464336, 464263? 2*n**2 - 91*n + 464668 What is the y'th term of 8730, 8229, 7728, 7227? -501*y + 9231 What is the t'th term of 485290, 1941193, 4367698, 7764805, 12132514, 17470825, 23779738? 485301*t**2 - 11 What is the a'th term of 155592, 311213, 466870, 622581, 778364? 3*a**3 + 155600*a - 11 What is the a'th term of 6283, 2972, -343, -3662, -6985? -2*a**2 - 3305*a + 9590 What is the m'th term of -655177, -656227, -657279, -658333, -659389, -660447, -661507? -m**2 - 1047*m - 654129 What is the m'th term of -15537, -30888, -46095, -61152, -76053, -90792, -105363? m**3 + 66*m**2 - 15556*m - 48 What is the v'th term of 216, -1199, -5018, -12435, -24644? -199*v**3 - 8*v**2 + 2*v + 421 What is the d'th term of -44281, -88575, -132879, -177193, -221517, -265851? -5*d**2 - 44279*d + 3 What is the t'th term of 391215, 390974, 390723, 390456, 390167? -t**3 + t**2 - 237*t + 391452 What is the l'th term of -966978, -1933967, -2900956? -966989*l + 11 What is the w'th term of 88885, 177765, 266653, 355555, 444477? w**3 - 2*w**2 + 88879*w + 7 What is the s'th term of 77470, 153184, 228898, 304612, 380326, 456040? 75714*s + 1756 What is the z'th term of 362569, 362018, 361465, 360910, 360353, 359794, 359233? -z**2 - 548*z + 363118 What is the p'th term of -174453, -699176, -1573715, -2798070, -4372241, -6296228? -174908*p**2 + p + 454 What is the k'th term of -14457, -28852, -43215, -57546, -71845? 16*k**2 - 14443*k - 30 What is the h'th term of -52208, -54504, -56800, -59096, -61392? -2296*h - 49912 What is the r'th term of -91624085, -91624082, -91624077, -91624070, -91624061? r**2 - 91624086 What is the h'th term of 37688, 47185, 63014, 85175, 113668, 148493, 189650? 3166*h**2 - h + 34523 What is the x'th term of -2327317, -2327314, -2327311, -2327308? 3*x - 2327320 What is the g'th term of -5118, -14468, -23818, -33168, -42518, -51868? -9350*g + 4232 What is the w'th term of -7205, -7099, -6919, -6665? 37*w**2 - 5*w - 7237 What is the v'th term of 4482491, 8965026, 13447561? 4482535*v - 44 What is the p'th term of -13699, -13288, -12201, -10108, -6679? 55*p**3 + 8*p**2 + 2*p - 13764 What is the k'th term of -315618, -631806, -947998, -1264194, -1580394, -1896598? -2*k**2 - 316182*k + 566 What is the n'th term of 39242630, 39242625, 39242620, 39242615? -5*n + 39242635 What is the j'th term of 5980, 47826, 161428, 382672, 747444, 1291630, 2051116, 3061788? 5981*j**3 - 8*j**2 + 3*j + 4 What is the a'th term of 3251073, 6502155, 9753239, 13004325, 16255413, 19506503? a**2 + 3251079*a - 7 What is the v'th term of -793, -4679, -11661, -21739, -34913? -1548*v**2 + 758*v - 3 What is the c'th term of 43756, 43805, 43948, 44233, 44708? 8*c**3 - c**2 - 4*c + 43753 What is the g'th term of 408, 9629, 25004, 46533, 74216, 108053, 148044? 3077*g**2 - 10*g - 2659 What is the k'th term of -89, -314, -611, -896, -1085? 14*k**3 - 120*k**2 + 37*k - 20 What is the i'th term of 106, 66, 148, 424, 966, 1846, 3136? 12*i**3 - 11*i**2 - 91*i + 196 What is the u'th term of -2672650, -2672654, -2672658, -2672662, -2672666? -4*u - 2672646 What is the z'th term of 265, 151, -693, -2639, -6059, -11325, -18809, -28883? -62*z**3 + 7*z**2 + 299*z + 21 What is the s'th term of -23404, -33723, -44042, -54361, -64680, -74999? -10319*s - 13085 What is the h'th term of -434398, -434404, -434402, -434392? 4*h**2 - 18*h - 434384 What is the g'th term of 11864, 11722, 11580, 11438, 11296? -142*g + 12006 What is the h'th term of -21507256, -21507295, -21507334, -21507373, -21507412, -21507451? -39*h - 21507217 What is the p'th term of -832, -1869, -3122, -4579, -6228, -8057, -10054? 2*p**3 - 120*p**2 - 691*p - 23 What is the t'th term of -177319, -709266, -1595843, -2837050? -177315*t**2 - 2*t - 2 What is the v'th term of 1024, 1864, 2342, 2
{ "pile_set_name": "DM Mathematics" }
d 1*17*1/(-2)? 10 Suppose 97*j - 186*j = -93*j + 2504. What is the smallest common multiple of 2 and j? 626 Let a(y) = -y**3 - 4*y**2 + 14*y + 11. Calculate the lowest common multiple of a(-7) and 2 + 1 - (3 + -30). 60 Let n(z) = 2*z**2 - 10*z - 4. Calculate the smallest common multiple of n(12) and (1251/63 + -19)*42. 1476 Suppose -q + 387 = 4*v - 195, 2*v + 4*q - 270 = 0. Calculate the lowest common multiple of v and 357. 2499 Let a = -2032 - -2122. Calculate the smallest common multiple of 15 and a. 90 Let t(h) = 4*h**2 + 15*h - 34. Let r be t(7). Let v = -179 + r. Calculate the lowest common multiple of 64 and v. 704 Let t = -57912 - -4517203/78. Calculate the common denominator of (-38)/(-15)*60/(-462)*-7 and t. 858 Let r(k) = -59*k + 280. What is the lowest common multiple of 720 and r(4)? 7920 Suppose 3*x - 17 = -4*f, -2*f = f + x - 14. Let l = -387 + 394. Suppose -4*w - l = -f*w. Calculate the least common multiple of 11 and w. 77 Let h = 3/428 + -10385/856. Let z be (188/(-408))/((-5)/(-320)). Let r = -66229/2040 - z. Find the common denominator of r and h. 40 Suppose -2366 = -58*y - 254*y - 26*y. Let a = -3 + 7. Suppose 9 = 4*z - 3*o, -4 + 14 = 5*z - a*o. What is the lowest common multiple of z and y? 42 Let x(v) = -43*v + 399. What is the least common multiple of x(9) and 1125? 4500 Let z be 4/(20/165) + 6. Suppose -42*g + z*g = -48. Calculate the lowest common multiple of g and (9 + 3)*(-2)/(-4). 48 Let x = -11/2884 + -43571/12978. What is the common denominator of x and 40/99? 396 Suppose -4*h = -0*h - 33396. Let s be (-3611430)/432 - 0/2 - -8. Let d = s + h. What is the common denominator of d and 58/33? 264 Let o be 4/(-1) - (-313 - 3). Suppose 0 = 13*q - 5*q + o. Let m = q - -52. What is the least common multiple of m and 11? 143 Let b(a) = -a - 2. Let d be b(-1). Find the common denominator of (-24 + 25)*d/2 and (1 - 31/(-18)) + (1 - 4). 18 Let j be 2/(-5) + 558/(-30). Find the common denominator of (35/(-56))/((-1)/j) and -13/10. 40 Suppose a = 4*c + 49 - 15, 2*a - 48 = -2*c. Suppose -12*w - 2*s + 70 = 0, 3*w - 5*s - 56 = -0*w. What is the smallest common multiple of a and w? 182 Calculate the common denominator of (291/(-75))/(7 + 154/(-10)) and -181/60. 420 Let t(o) = 14*o**2 - 119*o - 1190. Calculate the lowest common multiple of t(-10) and 40. 1400 Suppose -2*b = -y + 4, 4*b - 3*y = 2*y - 14. Let k = 867 - 6050/7. Find the common denominator of (-3 + b)*(-117)/60 and k. 35 Calculate the common denominator of -95/4812 and (268/28)/(198/(-231)). 4812 Let f be (34164/32)/(-3 + (-830)/(-264)). Let c = f - 7418. What is the common denominator of -103/14 and c? 266 Let j = 52 - 40. What is the smallest common multiple of j and (4/(-5) + 0)*4320/(-108)? 96 Let r = -1896 + 2172. What is the lowest common multiple of r and 60? 1380 Let n be (-280)/(-175) - (-14072)/30. Let t = 144076459/298995 + -49/19933. Let z = n - t. Calculate the common denominator of 99/8 and z. 40 Let r = -5/4571822 + -769119900911/54861864. Let v = r + 14017. Calculate the common denominator of 4/108*-6 - (-5)/144 and v. 48 Suppose 12 = -3*f, -2*f = -9*b + 5*b + 11168. Let m = 22271/8 - b. Find the common denominator of m and 20/79. 632 Let a = 28167/1160 + -644/29. Find the common denominator of a and 2*4/((-32)/50). 40 Let i(u) = u**3 - 6*u**2 - u - 1. Let x be i(4). Suppose -81*o - 16 = v - 83*o, 5*o - 1 = v. Let r = v - x. What is the least common multiple of 6 and r? 66 Let c = 29 - 27. Let j(u) = 8*u**c - 2 - 23*u**3 - u - 2*u - 8*u**2. Calculate the lowest common multiple of j(-1) and 30. 120 Suppose -3*u = -4*g + 46, 42 = -2*u - 3*g - 0. Let o = -7543/11 - -687. What is the common denominator of u/(-30)*3/9 and o? 55 Let t = 846713/693870 - 805/687. What is the common denominator of t and -161/3030? 3030 Let w(p) = 9*p - 1. Let b be w(1). Suppose -3*i - 10 = -b*i. Calculate the lowest common multiple of (0 - (1 - 2)) + (2 - i) and 11. 11 Let o = -189/55 + 20899/6930. Calculate the common denominator of 16/21 and o. 126 Find the common denominator of -24/527 and (624/1950)/((-68)/70). 2635 Let g = 12307407/2098276 + -5850/1003. Calculate the common denominator of g and 87/8. 4184 Let q(b) = -668*b - 808. What is the lowest common multiple of 66 and q(-2)? 528 Let a(m) = 2*m**3 - 17*m**2 + 22*m - 11. Let x(j) = j**3 - 18*j**2 + 22*j - 10. Let c(d) = 2*a(d) - 3*x(d). What is the lowest common multiple of c(-21) and 10? 290 Let t = -56 - -58. Let w be -14 + 6 - (-1 - (-1 + t)). Let p(u) = 2*u**3 + 13*u**2 - 6. Calculate the least common multiple of p(w) and 20. 60 Suppose 5*b + 3*s = 4*s + 37, -2*s = b - 14. Let h = -105 + 114. Suppose h*w + 36 = 12*w. What is the least common multiple of w and b? 24 Suppose -40*r + 3541 = -1339. Let a(p) = p**3 - 6*p**2 + 10*p. Calculate the lowest common multiple of r and a(4). 488 What is the common denominator of 11/48 and (2755/(-19475))/((-6)/(-20))? 1968 Let h = 5949893/2532 - 35248/15. Find the common denominator of h and -71/80. 16880 Suppose 2*n + 2260 = -3*n + 2980. Calculate the lowest common multiple of n and 648. 1296 Let j = 32 - 31. What is the common denominator of 113/6 and j + 2 + (306/(-93) - -1)? 186 Let x = -311728 + -49262. Let t = -11911496/33 - x. Let u = t - 113/3. What is the common denominator of 50 and u? 11 Let h = 82824/31 + -92097653/34472. What is the common denominator of 18/1529 and h? 12232 Let p be (-6)/(-9) + (20/(-3) - 3). Let b = 99 + p. Suppose -6*z + b = -48. Calculate the smallest common multiple of z and 9. 207 Let x = -2930 + 2938. Calculate the least common multiple of 596 and x. 1192 Let v(g) = -9 - 24 + 4*g - 3. Let n be v(11). What is the smallest common multiple of 86/n + (-15)/20 and 12? 60 Suppose 2 = -3*y + 32. Let a be 145/(3 + (0 - 1) + -3). Let p = a - -179. Calculate the lowest common multiple of y and p. 170 What is the lowest common multiple of 58146/792 + (-15)/36 and 2263? 2263 Let l = -161 - -89. Let q = 54 - 46. Calculate the lowest common multiple of l/(-3) + 10/5 and q. 104 Let w = -555 + -96. Let f = -599 - w. Calculate the lowest common multiple of f and 6. 156 Let q = 23603 - 330405/14. Calculate the common denominator of -93/1306 and q. 9142 Let d(n) = 786*n - 1245. Let a be d(21). Let c be 1/3 + 3662338/240. Let b = a - c. Calculate the common denominator of -89/10 and b. 40 Let x = 631/100 - 244/25. Find the common denominator of x and 91/74. 740 Suppose 2*k - 3 = i, -5 = -4*k - 2*i + 13. Let x be -6 + -1*(-11 + 6). Calculate the lowest common multiple of k and x/(-4 + (-325)/(-55) + -2). 33 Suppose 1127*a - 1296 = 1115*a. Suppose 0 = 4*g - 3*g - 108. What is the smallest common multiple of a and g? 108 Let d = 250/33 + -2086/165. Find the common denominator of 1/4 - (-1)/252 and d. 315 Let r = -304/5 - -8483/135. Calculate the common denominator of (0 - 2) + (-664)/(-192) and r. 216 Let x = -3679706/3 - -4851309/4. Let z = x + 13733. Find the common denominator of z and (-7)/(-4) - 2 - 668/144. 36 Calculate the common denominator of 2091/(-64944) + (-1 - -1 - -3 - 3) and -5/462. 3696 Let q be -3 + 2655/680 + -3. Let w = 69/34 - q. Calculate the common denominator of w and 103/22. 88 Let r be (68/6)/(8/12). Suppose r = 6*x - 895. Calculate the smallest common multiple of 4 and x. 152 Let x = -9 - -27. Suppose -23*d + 8*d + 45 = 0. What is the lowest common multiple of 1 + (-4)/d + (-804)/(-36) and x? 198 Suppose -5*f + 5*g = -0*g - 85, 4*g - 12 = -f. Let n = -111 - -116. What is the smallest common multiple of n and f? 80 Find the common denominator of 18/8 + (-2100)/648 and 19/66. 1188 Suppose 1469 = 6*q - 2833. What is the lowest common multiple of q and 21? 5019 Let u = -6 - -8. Find the common denominator of (-81)/60*u - 1 and 1 - (2/5)/(8/(-530)). 10 Calculate the smallest common multiple of (68/1)/((-70)/(-1155)) and 748. 2244 Let r = 14622 + -12256. What is the smallest common multiple of 18 and r? 21294 What is the lowest common multiple of (-39)/65 - (-16)/10 and 1*-1 + (1 - -2)? 2 Let z be -7 - -1 - (-7024)/(-223). Let y = z + -1/446. Let u = 2484 - 42242/17. What is the common denominator of y and u? 34 Let c = 1250 - -454. What is the lowest common multiple of c and 16? 3408 Let l(q) = -3*q + 15. Let h be -1*((-4)/(-4) + (-14)/7). W
{ "pile_set_name": "DM Mathematics" }
- g. Is g composite? False Suppose -2*w - 4*s - 2 = 0, 2*w - 3*s - 8 = -3*w. Is (-192 + w)*(-1)/1 composite? False Let z(w) = -w**3 - 5*w**2 + 2. Let l be z(-5). Suppose 3*m + 210 = l*k, 2*m + m = -5*k + 567. Is k prime? False Suppose 3*z = 4*z. Suppose -155 = -5*r - z*r. Is r a composite number? False Let r(n) = 4*n - 3. Let g be r(-4). Let s = 184 - g. Is s a prime number? False Suppose 26 = d - 36. Suppose 123 = 5*z - d. Is z a composite number? False Let o = -5 - -11. Suppose -16 = -4*v, -5*w - 3*v = -o*v - 548. Suppose g = -3*g + 5*t + 227, -2*g = -2*t - w. Is g a prime number? True Let g(y) = 2 - 2*y - 4 + 1. Let x = 4 + -6. Is g(x) composite? False Let d(z) = 14*z**2 - 8*z + 5. Is d(-6) prime? True Suppose 2*w - b = b + 2, 3*w = 4*b + 1. Is 3556/(w + 1)*1 prime? False Let o(b) = -25*b + 1. Is o(-2) prime? False Suppose 596 = 3*v + v. Suppose -h - 4*x = -v, -4*h + x - 2*x = -581. Is h a prime number? False Is 3219/27 - 4/18 a composite number? True Let n(k) = -55*k - 8. Is n(-3) a prime number? True Let k = 7 + -5. Let p(l) = 3*l**2 + 3*l + 24. Let q be p(-7). Suppose 3*w = c - k*w - q, 4*c + 2*w = 622. Is c prime? False Let c(u) = -5*u - 1. Let o be c(-1). Suppose -6*n + n = o*i - 54, -23 = -3*i + 5*n. Is i a composite number? False Let t = 10 + -32. Let d = t - -48. Is d a prime number? False Let h(c) = -2*c - 4. Let y be (-16)/6 + 4/(-12). Let l be h(y). Suppose t - 327 = -l*t. Is t composite? False Let y = -2 - -1. Let g be y + 1 + -69 + 1. Is (-4)/12 + g/(-6) a prime number? True Suppose j + 2*g - 481 = 0, 2*g + 3*g + 453 = j. Is j a composite number? True Suppose 2*i = 4*n + 2306, 2*n = -1 - 1. Is i a composite number? False Let a = -486 - -1223. Is a prime? False Let p(a) be the second derivative of -4/3*a**3 + 0 - 1/2*a**2 - a. Is p(-5) prime? False Suppose 0 = 5*o - 22 + 2. Suppose o*c - 132 = -5*f, -32 = -5*c - 2*f + 150. Suppose 4*r - 110 = -3*j, -4*j - 4*r + 110 + c = 0. Is j prime? False Suppose t - 2*t + 127 = 0. Is t a prime number? True Let x = 47 + -24. Suppose 0 = -t - 8 - 4. Let k = t + x. Is k a composite number? False Let t(a) = -5*a**3 - 2*a**2 - 2*a + 3. Let g(j) = -j**3 - j**2 + j + 1. Let q(k) = 3*g(k) - t(k). Let m be q(4). Suppose -m = -0*h - 4*h. Is h a prime number? False Suppose -n - 267 = -r - 58, 5*n = -r + 209. Is r a prime number? False Is (3 - 49/21)/(2/3453) a prime number? True Let z be 1135/5 - (2 + -3). Suppose x - z - 137 = 0. Is x a prime number? False Let w(g) = -614*g - 17. Is w(-2) prime? False Suppose -4*m - 2*k + 0*k = -3404, 0 = -3*m + 4*k + 2553. Is m a composite number? True Suppose 5*d + m - 9237 = 0, -5 = -2*m - 1. Is d a composite number? False Suppose 3*b = -2*b - 445. Let z = -58 - b. Is z prime? True Suppose i + 3*i = 12. Suppose 2*s + 0*n - 206 = i*n, 3*s - 2*n - 299 = 0. Is s prime? True Is -2*(0 - (-89)/(-2)) a prime number? True Let i(h) = h**2 - 6*h + 4. Let v be i(5). Let b be 2 + (21/v)/3. Let z(j) = -j + 1. Is z(b) a prime number? False Suppose -9*k + 390 + 4947 = 0. Is k a composite number? False Suppose 2*q + 3*p + 0*p = 261, -2*q = -4*p - 254. Suppose 0 = -u + q + 82. Is u a prime number? True Let d(h) = -h**2 - 9*h. Let u be d(-8). Let c(s) = 5*s**2 - 7*s + 7. Is c(u) composite? False Let g(b) = 5*b**2 + 4*b + 1. Let z be (-2)/4*-2 + 5. Is g(z) prime? False Suppose 0 = -6*h + 7*h. Suppose -i + 2*b = -143, -5*i - 4*b - b + 640 = h. Is i composite? True Suppose 1407 = 3*p + 4*o, -3*p + 19*o + 1407 = 14*o. Is p a prime number? False Let g = -4335 + 3094. Is g/(-3) - 4/6 a composite number? True Let p(k) = -31*k**3 - 2*k**2 + 6*k - 3. Let m be p(-5). Suppose 0 = -6*f + 1134 + m. Is f a composite number? False Let m = 0 + 3. Suppose 5*h - 256 = -j, -4*j + 9*j - 158 = -m*h. Is h prime? False Let g be (-2)/(-6) - 5/15. Suppose g = -5*x + 6 - 56. Let m = 29 + x. Is m a prime number? True Let r(c) = -c**2 - 5*c + 6. Let y be r(-6). Suppose y = 3*q - 16 - 14. Is q composite? True Let k(n) = 3*n**3 - 4*n**2 - 5*n + 5. Let v(s) = -s**3 + s - 1. Let j(g) = -k(g) - 2*v(g). Let d = 3 - -1. Is j(d) a composite number? True Is (-1781)/(-3) - (-4)/(-6) prime? True Suppose 23 + 44 = x + 3*j, 167 = 2*x - 5*j. Suppose 0*w - x = 2*w. Let g = w + 117. Is g a prime number? True Is 1*581 + 7 + -7 a prime number? False Let z = 15 - -21. Suppose 4*c + 4 = -16, 4*c + 11 = -3*k. Suppose z = k*y - 21. Is y a composite number? False Let a(p) = -p**3 - 12*p**2 - 13*p - 14. Let b be a(-11). Suppose 7*u - b*u = -159. Is u prime? False Suppose 5*q - 20 = 3*q. Suppose -r - 2*t - q = -0*t, 0 = -5*t - 10. Is r*-5*2/6 a composite number? True Let o(m) = -3*m + 1. Let d be o(-1). Is -4 - (0/d + -147) a prime number? False Let l be (80/(-12))/(1/(-12)). Suppose 2*d - l = -2*k, 5*d + 2*k = 4*d + 45. Is d a prime number? False Suppose y - 4*y - 33 = 0. Let z = y + 16. Suppose 3*l - 149 = 5*a, -z*l + 0*a = a - 267. Is l a prime number? True Let u(a) = -103*a + 11. Let m(w) = 52*w - 5. Let r(x) = 13*m(x) + 6*u(x). Suppose 0 = 3*q + q - 4. Is r(q) a composite number? False Let o(d) = d**2 + 4*d - 2. Suppose 3*z = 2*z + 15. Let m be 5/2*18/z. Is o(m) prime? True Let n(o) = 526*o - 11. Is n(8) a composite number? True Let j(b) = -b + 3. Let t be j(3). Suppose t = -0*q - 3*q + 2*l + 235, -4*l = 4*q - 300. Is q a composite number? True Let m(x) = 31*x + 1. Let d be m(3). Let f = d - 60. Suppose 15 = -5*c, 35 = 3*g - 4*c - f. Is g a composite number? False Let s = 453 - 191. Is s a prime number? False Let a be (-20)/3*(-60)/50. Suppose s - 11 = -0*s. Let h = s + a. Is h prime? True Let t(w) = 37*w + 5. Is t(2) a composite number? False Suppose -4*k = 4*n - 584, 5*n - n + 12 = 0. Is k a prime number? True Suppose -w = -0*w. Let h be w*(1 - 2 - 0). Suppose -4*c - 48 = -4*p - h, -3*p - 2*c + 51 = 0. Is p a composite number? True Let n(a) = -a**2 - 11*a + 11. Is n(-8) prime? False Suppose -5*n + 126 + 4 = 0. Suppose -4*k = 4*r - 44, -5*r + n = k - 5. Is 112/k + 3/9 prime? True Let w(a) be the second derivative of -a**6/120 + 2*a**5/15 - a**4/12 - a**3/6 + a**2 - a. Let g(x) be the first derivative of w(x). Is g(4) composite? True Let m = 75 + -118. Let w = -36 + 12. Let q = w - m. Is q composite? False Let r be 1/(-1 + (-18)/(-15)). Suppose 1 = -2*t - r. Is 15 - ((-3)/t - 1) a composite number? True Let n = -4 - -7. Let z(x) = -x - x - n*x. Is z(-5) a composite number? True Suppose 2*t + 9 = f - t, 4*f + 4*t = -12. Suppose 3*l = -5*i + 366, -i + 5*l = -f*i - 90. Suppose 2*q + q = i. Is q a prime number? False Let a = 3314 + -2343. Is a a composite number? False Let l = 0 + 1. Suppose r - l = 5. Is r composite? True Let t be (-15)/(-2)*36/15. Suppose 4*i + 5*y = -0*i + t, -3*i = -3*y - 27. Is i composite? False Let n = -6 - 0. Suppose -b + 10 = -0. Let f = n + b. Is f a composite number? True Suppose -12*n + 22057 = -5*n. Is n a composite number? True Let l be (291/4)/((-2)/(-8)). Suppose -j = -m - 2 - 77, 4*j = -m + l. Suppose 14 - j = -4*v. Is v a composite number? True Let y(t) = t**2 - 8*t - 3. Let h be 56/6 + (-1)/3. Let c be y(h). Is 110/c + (-4)/(-6) a composite number? False Suppose 42 = 3*b - 0. Is -37*1*b/(-2) composite? True Let k be ((-1)/2)/(2/(-1196)). Suppose -152 = -5*b + 4*g + k, 454 = 5*b - g. Is b a prime number? False Let t = 689 - -584. Is t a prime number? False Is 2770/8 + (-12)/(-16) composite? False Is (2 + -5)*1/(-6)*3386 prime? True Let o be (-5*1 - 1) + 0. Let j = -2 - o. Suppose -5*y - 4*i + 31 = -4*y, -2*y = j*i - 66. Is y a composite number? True Suppose 0 = 4*l - 3*t + 85, l + 31 = -4*t - 14. Let b = 38 + l. Suppose 0*p + p = b. Is p prime? True Suppose -5*y - 4*c + 20 = 0, 3*y - 2*y = -5*c + 4. Suppose 7*f + 241 = 4*z + 2*f, -234 = -y*z - 2*f. Is z prime? True Let w be ((-1)/2)/((-1)/12). Let m(g) = g**3 - 7*g**2 + 9*g - 3. Is m(w) prime? False Let m be 4/(-6) + (-3766)/21. Let t = -83 - m. Is t composite? False Suppose 0 = 4*d - d. Suppose d = 3*c - 12. Is 50/c - (-2)/4 prime? True Let u(o) = o**2 - 14*o + 5. Let p(m) = -m**2 + 15*m - 4. Let x(g) = -4*p(g) - 5*u(g). Suppose -3*h + 0*h + 18 = 0. Is x(h) a composite number? True Let t(z) = z + 3. Let w(y) = 4*y**3 + 2*y**2 + y. Let m be w(-1). Let a be t(m). Is (a + -226)*7/(-14) prime? True Let d = -1228 + 2087. Is d a prime number? True L
{ "pile_set_name": "DM Mathematics" }
lse Is 84 a factor of 760777? False Is 195224 a multiple of 12? False Is 5 a factor of 1500170? True Is 201852 a multiple of 18? True Does 89 divide 95230? True Is 595869 a multiple of 30? False Does 84 divide 56666? False Is 3255401 a multiple of 19? False Is 8357053 a multiple of 120? False Is 7 a factor of 301494? False Is 42 a factor of 456036? True Is 6406876 a multiple of 38? True Is 24 a factor of 1285550? False Is 1385991 a multiple of 81? True Does 51 divide 145336? False Does 51 divide 19972? False Is 17 a factor of 45400336? True Does 16 divide 34595930? False Does 14 divide 314202? True Is 2662240 a multiple of 160? True Is 3121827 a multiple of 103? True Does 18 divide 355472? False Is 45 a factor of 4234500? True Is 4896078 a multiple of 682? True Is 4 a factor of 12801? False Is 2282489 a multiple of 11? True Is 20 a factor of 14843? False Is 74 a factor of 317222? False Is 576065 a multiple of 109? True Is 526217 a multiple of 23? True Is 140 a factor of 1787940? True Is 8 a factor of 81495? False Is 61 a factor of 307135? True Is 214645 a multiple of 99? False Is 1366 a factor of 13259762? True Is 3 a factor of 969609? True Does 542 divide 4900296? False Does 3 divide 3902618? False Is 282471 a multiple of 23? False Does 50 divide 107800? True Is 9 a factor of 164611? False Is 6 a factor of 132088? False Does 7 divide 1475316? False Is 77854 a multiple of 16? False Is 63231 a multiple of 541? False Does 389 divide 608858? False Is 89 a factor of 130051? False Is 7067368 a multiple of 121? True Is 231488 a multiple of 88? False Does 9 divide 31940? False Does 22 divide 3259036? True Does 45 divide 129510? True Does 8 divide 326965? False Does 958 divide 1946656? True Is 1229473 a multiple of 16? False Does 235 divide 1285340? False Does 189 divide 1922886? True Is 692230 a multiple of 30? False Is 10 a factor of 1064180? True Is 3647012 a multiple of 20? False Does 68 divide 3378784? True Is 71708 a multiple of 91? True Is 2488608 a multiple of 6? True Is 81 a factor of 77681? False Is 1397305 a multiple of 581? True Is 4739769 a multiple of 124? False Does 5 divide 28652? False Is 11 a factor of 54120? True Is 15269969 a multiple of 51? False Does 181 divide 661374? True Does 5 divide 2298214? False Is 43 a factor of 1913944? False Does 7 divide 395388? True Is 40400 a multiple of 91? False Does 15 divide 23535? True Does 3 divide 20649? True Does 8 divide 483679? False Is 93 a factor of 344193? True Is 227164 a multiple of 89? False Is 4379863 a multiple of 75? False Does 29 divide 28101? True Does 14 divide 3239950? True Is 1233720 a multiple of 30? True Is 73 a factor of 181113? True Does 179 divide 2898547? True Is 2 a factor of 7186? True Is 226 a factor of 3089646? True Is 278 a factor of 1356764? False Is 2987292 a multiple of 77? True Is 357480 a multiple of 149? False Does 5 divide 80100? True Is 98699 a multiple of 232? False Does 88 divide 188043? False Is 34 a factor of 4386? True Does 278 divide 1216250? True Is 605640 a multiple of 588? True Is 737 a factor of 8374992? False Is 6643553 a multiple of 14? False Does 73 divide 94483? False Is 23 a factor of 310293? True Is 18 a factor of 32828? False Does 7 divide 11829? False Is 51793 a multiple of 179? False Does 5 divide 575175? True Is 129 a factor of 35088? True Is 563703 a multiple of 60? False Is 13512 a multiple of 26? False Does 511 divide 2927473? False Is 6 a factor of 2155582? False Is 57 a factor of 209133? True Is 12 a factor of 94956? True Does 41 divide 1305235? True Is 441672 a multiple of 88? True Is 29 a factor of 131329? False Is 5692992 a multiple of 298? True Is 430 a factor of 397750? True Does 91 divide 463409? False Is 27485 a multiple of 31? False Is 124754 a multiple of 24? False Does 372 divide 5164848? True Is 2491170 a multiple of 608? False Is 3 a factor of 31424? False Is 5666088 a multiple of 2043? False Does 6 divide 24607? False Is 5 a factor of 4506651? False Is 4413 a multiple of 3? True Is 154814 a multiple of 37? False Is 5638656 a multiple of 19? False Does 90 divide 7554040? False Is 17 a factor of 483140? True Is 565 a factor of 2209715? True Is 2186610 a multiple of 345? True Is 2157 even? False Does 23 divide 30820? True Is 1813757 a multiple of 897? False Does 925 divide 906500? True Is 473 a factor of 2180258? False Is 532052 a multiple of 134? False Is 7108598 a multiple of 472? False Does 5 divide 27739? False Is 964523 a multiple of 46? False Is 10 a factor of 4126533? False Is 12 a factor of 122182? False Is 388454 a multiple of 22? True Does 157 divide 4543068? False Is 845718 a multiple of 6? True Does 32 divide 723917? False Is 281 a factor of 2033432? False Does 23 divide 80592? True Is 212660 a multiple of 14? True Does 31 divide 20336? True Does 280 divide 53554? False Is 17 a factor of 55081? False Does 133 divide 548774? False Does 113 divide 367476? True Is 76004 a multiple of 56? False Is 3791957 a multiple of 13? True Is 253 a factor of 218592? True Is 83200 a multiple of 416? True Does 12 divide 1992187? False Is 7327409 a multiple of 53? True Does 41 divide 892816? True Does 9 divide 955080? True Does 20 divide 246633? False Is 10625795 a multiple of 269? False Is 405316 a multiple of 214? True Is 32 a factor of 601952? True Is 16 a factor of 115696? True Is 4521739 a multiple of 214? False Is 610565 a multiple of 19? True Does 195 divide 4944520? False Is 14 a factor of 212035? False Is 1796 a factor of 23754644? False Is 17 a factor of 309111? True Does 172 divide 40936? True Is 6631259 a multiple of 9? False Does 113 divide 5325012? True Does 122 divide 3471837? False Is 2652436 a multiple of 173? True Is 66 a factor of 61587? False Is 21 a factor of 9193327? False Is 3613 a multiple of 4? False Is 858540 a multiple of 13? False Does 63 divide 75985? False Is 478452 a multiple of 89? False Does 48 divide 677227? False Is 351 a factor of 41518? False Is 31 a factor of 1815761? False Is 12 a factor of 906922? False Does 130 divide 3802495? False Does 1098 divide 5997276? True Does 99 divide 687333? False Does 11 divide 206203? False Is 11 a factor of 262675? False Is 31 a factor of 112908? False Is 4493525 a multiple of 1649? True Does 3 divide 9789? True Does 18 divide 133920? True Is 39648 a multiple of 3? True Is 241736 a multiple of 22? True Does 2 divide 5117? False Does 11 divide 1790668? True Does 19 divide 13281? True Is 15 a factor of 53263? False Is 204540 a multiple of 7? True Is 23 a factor of 129377? False Is 2835270 a multiple of 54? True Does 9 divide 148725? True Does 10 divide 1564228? False Is 114966 a multiple of 8? False Is 6012 a multiple of 4? True Is 1263 a factor of 8648572? False Is 982624 a multiple of 16? True Does 101 divide 103828? True Does 17 divide 4440859? True Is 19 a factor of 647023? False Does 27 divide 272684? False Is 607144 a multiple of 116? True Does 224 divide 329728? True Does 11 divide 1838468? False Is 4023504 a multiple of 18? True Is 14 a factor of 1471756? False Is 286596 a multiple of 189? False Is 12 a factor of 61260? True Does 7 divide 55332? False Is 16 a factor of 301296? True Is 74155 a multiple of 5? True Is 360 a factor of 8489459? False Is 22919 a multiple of 41? True Is 685 a factor of 360995? True Is 411804 a multiple of 369? True Does 176 divide 3001856? True Does 37 divide 231911? False Is 15 a factor of 98466? False Does 47 divide 170469? True Does 96 divide 941527? False Does 27 divide 347706? True Is 158046 a multiple of 6? True Does 125 divide 108912? False Does 168 divide 208393? False Is 524 a factor of 9348736? False Is 5 a factor of 664070? True Does 112 divide 176064? True Does 215 divide 97395? True Is 3 a factor of 4368? True Is 246092 a multiple of 42? False Is 986020 a multiple of 28? True Is 258 a factor of 92585? False Is 152394 a multiple of 4? False Does 53 divide 6542956? True Is 8 a factor of 790464? True Is 682236 a multiple of 36? True Does 489 divide 200590? False Is 2263074 a multiple of 102? True Does 3 divide 170334? True Does 37 divide 3563971? False Is 389620 a multiple of 242? True Does 45 divide 544388? False Is 106 a factor of 1413628? False Is 9 a factor of 1308183? False Does 10 divide 326540? True Is 34
{ "pile_set_name": "DM Mathematics" }
z**2 - 20*z. Let y(x) = -5*f(x) - u(x). Give -2*t(i) + 5*y(i). -3*i**3 + i**2 Let o(x) = -2*x**3 - 8*x**2 + 56*x. Let i(p) = p**3 + 3*p**2 - 19*p. Give 8*i(g) + 3*o(g). 2*g**3 + 16*g Let t = 19 + -24. Let h(a) = -a - 2. Let d(n) = -2*n - 5. What is t*h(i) + 2*d(i)? i Let s = 8 + -5. Suppose 15 - s = -3*f. Let j(u) = 4*u**3 - 4*u**2 - 2*u. Let p = 13 - 18. Let o(t) = -3*t**3 + 3*t**2 + 2*t. What is f*j(i) + p*o(i)? -i**3 + i**2 - 2*i Let a(j) = j**2 - 4*j - 26. Let v be a(-4). Let z(s) = 2*s**3 + 3*s**2. Let l(x) = -3*x**3 - 5*x**2. Give v*l(c) + 10*z(c). 2*c**3 Let m(z) = -1. Let r(h) be the first derivative of -3*h**2/2 - 7*h + 32. Determine 6*m(s) - r(s). 3*s + 1 Let f(j) = 4*j**3 - 3*j**2 + j - 4. Let x(n) = 11*n**3 - 8*n**2 + 3*n - 11. Determine 8*f(c) - 3*x(c). -c**3 - c + 1 Let y(i) = -i**2. Let w(v) = v**2 - 2. Let f(p) = -p + 8. Let h be f(9). Let z(l) = 7*l + 1. Let m be z(h). Let g be 8/m - (-3)/9. Give g*w(c) - 2*y(c). c**2 + 2 Suppose 0*a - 2 = 4*f + 2*a, 5*a = -f + 13. Let g(z) = -z**2 + 5*z. Let d(i) = 2*i. Give f*g(k) + 5*d(k). 2*k**2 Let n(h) = -36*h - 20. Let g(y) = -7*y - 4. Let b(r) = -11*g(r) + 2*n(r). Let c(d) = -55*d - 45. Determine 45*b(v) + 4*c(v). 5*v Let t(m) = -m**3 - 3*m**2 - 2*m - 3. Let f be t(-3). Let j be 1 + (1 - -3) - f. Let u(l) = j*l - 3*l - 1 - l. Let y(p) = p + 1. Determine 2*u(b) + 2*y(b). -2*b Suppose 18*s - 22*s = 12. Let u(a) = a + a + a + 0. Let g(w) = 4*w - 1. Calculate s*u(m) + 2*g(m). -m - 2 Let i(m) = -1. Let p(o) = -o - 39. What is 3*i(h) + p(h)? -h - 42 Let f(i) = 7*i**3 + 5*i + 5. Let z(m) = -2*m**3 - 4*m + 1633 - 14*m - 22*m**3 - 1651. Determine 18*f(b) + 5*z(b). 6*b**3 Let t(q) = -q**3 + 5. Let z(c) = -2*c**3 + 6. Let p = -23 - -27. Suppose -5*f + p = 2*m - 10, 22 = -2*m + 4*f. Let i be (-4)/3*(0 + -3). Give i*t(l) + m*z(l). 2*l**3 + 2 Let q(o) = -5*o**2 + 2*o + 3. Let p be ((-2)/(-4) - 1)*-6. Suppose p = 2*a - 3. Let j(k) = k**2 - k - 1. Determine a*j(g) + q(g). -2*g**2 - g Let z(q) = -2*q - 4. Let g(f) = -f - 5. Determine 4*g(x) - 5*z(x). 6*x Let d(c) be the third derivative of c**4/4 - c**3/2 - 14*c**2. Let g(l) = 5*l - 2. Calculate 4*d(f) - 5*g(f). -f - 2 Let z(y) = 13*y + 9. Let r(l) = 3*l + 2. Let w = -6 - -8. Determine w*z(a) - 9*r(a). -a Let r(g) = g. Let o(i) = i**3 + 10*i**2 + 11*i + 17. Let c be o(-9). Let u(h) = -6*h - 1. Calculate c*u(k) - 5*r(k). k + 1 Let q(a) = -2*a**2 + 3*a + 2. Let p(n) be the third derivative of -n**5/60 + n**4/12 + n**3/6 + n**2 - 21*n. What is -4*p(y) + 3*q(y)? -2*y**2 + y + 2 Let p(l) = -6*l**2 + 2*l + 9. Let h(k) = 13*k**2 - 5*k - 19. Give -2*h(w) - 5*p(w). 4*w**2 - 7 Let d(r) = -9*r**2 + 7*r - 11. Let s(x) = -5*x**2 + 4*x - 6. Give 6*d(a) - 11*s(a). a**2 - 2*a Let r(k) = -8*k**2 - 5*k + 5. Let l(h) = 4*h**2 + 3*h - 3. Calculate 5*l(o) + 3*r(o). -4*o**2 Let z(y) = -22*y + 8. Let j(r) = 7*r - 3. What is 8*j(a) + 3*z(a)? -10*a Let p(v) = 48 - 48 + v. Let w(y) = -2*y + 1. Give -4*p(z) - w(z). -2*z - 1 Let l(g) = 4*g**2 + 9*g + 6. Let t(k) be the third derivative of -k**5/60 - k**4/24 - k**3/6 + 11*k**2. Give l(i) + 6*t(i). -2*i**2 + 3*i Let f(m) = 13*m**2 - 2*m - 2. Let q(d) = 220*d**2 - 35*d - 35. Give 70*f(s) - 4*q(s). 30*s**2 Suppose 2*f + 4 = 10. Let s(k) = -13*k + 14*k + 0 + 0. Let d(b) = b**2 - b. Let i(t) = -5*t. Let c(p) = 2*d(p) - i(p). Give f*s(q) - c(q). -2*q**2 Let p(z) = z**2 - 2*z + 7. Let r(d) = 3*d**2 - 4*d + 14. Give 9*p(j) - 4*r(j). -3*j**2 - 2*j + 7 Let p(l) = -2*l + 1. Let i(o) = 2*o - 1. Give 4*i(r) + 3*p(r). 2*r - 1 Let y(i) be the third derivative of 2*i**5/15 - 3*i**4/8 - 3*i**3/2 - 52*i**2. Let o(b) = 4*b**2 - 4*b - 4. Give -9*o(d) + 4*y(d). -4*d**2 Let x(a) = a + 1. Let i(r) = -r**3 - 7*r**2 - 6*r - 3. Let c be i(-6). Let z = c + 6. Let d(n) = 3 + 1 + 0 + z*n. Calculate -d(q) + 2*x(q). -q - 2 Let i(o) = 8*o**3 - 6*o**2 + 9*o - 1. Let z(g) = 23*g**3 - 17*g**2 + 26*g - 3. Determine -17*i(w) + 6*z(w). 2*w**3 + 3*w - 1 Let o(y) = -y**2 + y - 1. Let p(k) = 12*k**2 - 12*k + 10. Calculate -10*o(u) - p(u). -2*u**2 + 2*u Let g(h) = 6*h**3 - 3*h**2 - 3*h + 3. Let a(i) = 18*i**3 - 8*i**2 - 8*i + 8. Give -3*a(s) + 8*g(s). -6*s**3 Let i(j) = -2*j**3 - 7*j + 7. Let f(p) = -p**3 - 3*p + 3. Let l = 3 - -3. Calculate l*i(g) - 14*f(g). 2*g**3 Let r(l) = -4*l + 3. Let g(a) = -5*a + 4. Let n(x) = x + 1. Let d be n(-3). Determine d*g(s) + 3*r(s). -2*s + 1 Let c(g) = -4*g. Let m(v) = 5*v - 1. Calculate -4*c(p) - 4*m(p). -4*p + 4 Let s(h) = -h**3 - h**2 + h + 1. Let d(f) = -2*f**3 - 3*f**2 + 40*f - 1 + 5 - 38*f. What is -d(k) + 4*s(k)? -2*k**3 - k**2 + 2*k Let h(p) = -12*p**3 - p + 2. Let q(r) = r**3 - 1. What is -h(x) - 4*q(x)? 8*x**3 + x + 2 Let d(c) = -9*c + 6. Let r(t) = 6*t + 4. Let y(k) = -5*k - 3. Let g(b) = 4*r(b) + 5*y(b). What is -d(j) + 6*g(j)? 3*j Let b(r) = -r + 4. Let l(q) = 2*q - 11. Let t(o) = -1. Let h(u) = l(u) - 4*t(u). Determine -7*b(p) - 4*h(p). -p Let z(s) = s**2 + 1. Let f(j) = -5*j**2 + 4*j**2 - 6*j**2 - 6 - j**2. Determine -f(k) - 10*z(k). -2*k**2 - 4 Let c = 13 + -47. Let o(w) be the second derivative of -23*w**3/6 + 2*w. Let p(j) = -4*j. Give c*p(h) + 6*o(h). -2*h Let m(w) = -w**2 - 1. Let z(i) = i**2 - 91 + 93 - 3*i + 3*i. Let b be 2 - ((-1)/1 + 5). What is b*m(q) - z(q)? q**2 Let c(o) = -31*o**3 + 6*o**2 + 6*o + 1. Let n(h) = 30*h**3 - 5*h**2 - 5*h - 1. Determine 5*c(p) + 6*n(p). 25*p**3 - 1 Let d(k) = -4*k**2 + 9*k + 9. Let m(b) be the first derivative of 2*b**3/3 - 2*b**2 - 4*b + 1. Let j be (14 - 22)*1/2. Determine j*d(l) - 9*m(l). -2*l**2 Let l(b) = 2*b**2 - 7*b + 2. Let z(d) = -d**2 - d + 1. Give -l(c) + 6*z(c). -8*c**2 + c + 4 Let k(s) = 6*s**3 + s**2 + 3*s. Let i(a) = 7*a + a + 769*a**3 - 752*a**3 + 3*a**2. Calculate -3*i(d) + 8*k(d). -3*d**3 - d**2 Suppose 2*z = -0*z + 4. Let k(d) = -5*d**2 - 10*d + 16. Let n(x) = 5 - x**2 - 2*x + 5 - 7. What is z*k(c) - 11*n(c)? c**2 + 2*c - 1 Let l(z) = -z**2 + z. Let c(v) = -25*v**3 - 15*v**2 + 15*v. What is c(h) - 15*l(h)? -25*h**3 Let y(p) = -4*p - 4. Let w(b) = 3*b + 3. Let t be 0 - 1/((-1)/3). Give t*w(c) + 2*y(c). c + 1 Let f(n) = -10*n - 10. Let b(x) = x + 1. Calculate 24*b(k) + 3*f(k). -6*k - 6 Let d(k) = -6*k**3 + 8*k + 3. Let o(n) = 4*n - 16. Let b be o(5). Let c(m) = 5*m**3 - 7*m - 2. Calculate b*d(j) + 5*c(j). j**3 - 3*j + 2 Let s(r) = 2*r. Let q(g) = 4*g**2 + 3*g + 3. Let i be q(-2). Let b = i + -8. Let u(z) = -3*z + b*z - 4*z. Give 4*s(h) + 3*u(h). 2*h Let x(g) = g - 5. Let y(c) be the second derivative of c**3/3 - 11*c**2/2 + 12*c. Give -9*x(a) + 4*y(a). -a + 1 Let g(h) = 5*h**2 + h + 2. Let t(u) be the first derivative of 3*u**3 + u**2 + 4*u - 18. What is 7*g(s) - 4*t(s)? -s**2 - s - 2 Let p(x) = -5*x**3 + 3*x**2 - 9*x + 2. Let h(l) = l**3 - l**2 - l + 1. Let d(s) = -2*h(s) + p(s). Let w(g) = 4*g**3 - 3*g**2 + 4*g. Determine -3*d(q) - 5*w(q). q**3 + q Let g be 6/(-9)*3*-3. Let o(l) = -6*l + 1 - l + g*l. Let t(d) = -5*d + 3. What is 4*o(h) - t(h)? h + 1 Let w(u) = -u**3 - 3*u**2 + 3*u. Let h(d) = 7*d - 7*d**2 - 2*d**3 - 17 + 17. Determine 3*h(v) - 7*w(v). v**3 Let g(c) = 8*c**2 + 2. Let l(k) = -15*k**2 - 5. Calculate 5*g(d) + 2*l(d). 10*d**2 Let v(i) be the first derivative of 9*i**4/4 - 2*i**2 + 11*i + 1. Let k(o) = o - 1. Let b be k(-2). Let t(n) = 4*n**3 - 2*n + 5. Calculate b*v(r) + 7*t(r). r**3 - 2*r + 2 Let t(h) = -7*h**3 + 3*h**2 + 31*h. Let v(g) = -4*g**3 + 2*g**2 + 16*g. Calculate 3*t(d) - 5*v(d). -d**3 - d**2 + 13*d Let y(u) = -7*u + 6. Let f(j) = -20*j + 17. Give -3*f(x) + 8*y(x). 4*x - 3 Let x(p) be the third derivative of -p**4/12 + 5*p**3/6 - 35*p**2 - 2*p. Let b(o) = o - 7. Let j be b(6). Let t = j + 0. Let k(h) = -1. Give t*x(u) - 6*k(u). 2*u + 1 Let t(b) = -6*b**3 + 26*b**2 - b + 2. Let r(p) = 5*p**3 - 26*p**2 + p - 2. Calculate -5*r(a) - 4*t(a). -a**3 + 26*a**2 - a + 2 Let v(o) = -7*o + 3. Let k(y) = -1. What is -2*k(h) - v(h)? 7*h - 1 Let i(t) = t + 0*t - 2*t. Let f(a) = 5*a - 3*a - 2 - 8*a + 2*a. Give -f(m) + 5*i(m). -m + 2 Suppose 9*h + 42 = 2*h. Let r be 1 - (5 - -1)*1. Let o(a) = -7*a + 2. Let c(n) = 6*n - 2. What is h*c(y) + r*o(y)? -y + 2 Let a(j) = -5*j - 4. Let o(q) = -14*q - 11. Determine 17*a(u) - 6*o(u). -u - 2 Let d(y) = 41*y**2 + 9*y. Let t(u) = 21*u**2 + 4*u. Calculate 4*d(v) - 9*t(v). -25*v**2 Let g(o) = 9*o**2 + 5*o + 5. Suppos
{ "pile_set_name": "DM Mathematics" }
c**2 - 5*c + 5. Let o be g(-5). Suppose -o*f = -4*n + 40, f - 24 = 4*f + n. Put f, 2, 4, 0 in decreasing order. 4, 2, 0, f Let p = -9541 + 9546. Let t be 16/10 + 2/5. Put p, -60, t in increasing order. -60, t, p Suppose 4*h - 3*y - 13 = -8, h + 5 = 2*y. Sort 4, 7, h. 4, h, 7 Let n = 2/1521 + -1016/1521. Sort n, -5/6, 1. -5/6, n, 1 Suppose 4*m - 4*p = 20, 3*m + 2*m - 3*p - 19 = 0. Suppose 4*w - 6 = 2*w. Suppose 4*c - m*g - g = -4, w*c = g + 2. Put 1, c, -3 in decreasing order. c, 1, -3 Suppose 0 = 5*x - 10, -o = -4*o + 2*x - 16. Let g(t) = t**2 - 2*t - 8. Let q be g(4). Sort -3, q, o. o, -3, q Let b = 4/79 + 138/395. Let r = 123 + -318. Let w = r + 1363/7. Put b, w, 3 in increasing order. w, b, 3 Let u = 38/9 - 179/36. Let i = 0.036 - -0.264. Put i, u, 0.4, -4/5 in decreasing order. 0.4, i, u, -4/5 Let f = -1.15 - -1.45. Put f, 3, 1/5, 18 in decreasing order. 18, 3, f, 1/5 Suppose -27*y + 428 = 320. Put -37, 2, y in increasing order. -37, 2, y Let z = 6.5 - 6.2. Put 1/5, z, 1/11, -68 in descending order. z, 1/5, 1/11, -68 Suppose 63 - 231 = -4*c. Suppose 44*z - c*z = 2. Let n = 3 + 2. Put n, 0, z in descending order. n, z, 0 Let h = 1.9 + -10.9. Let s = 4 + h. Let f = -159 + 637/4. Put 5, f, s in descending order. 5, f, s Let v be -2 + (-6)/(-5) + (-198)/15. Put v, -3, 0.4, 1/4 in ascending order. v, -3, 1/4, 0.4 Let l = -1/4 + 23/28. Let y = 1 + -1. Sort l, 1, y in decreasing order. 1, l, y Let j be 6/4 - (-2)/4. Let y(x) = x**3 + 6*x**2 + 4*x - 5. Let w be -1*(-1)/(-3) + (-84)/18. Let q be y(w). Sort q, j, -4. -4, q, j Suppose 0 = 5*g - 16 - 4. Let f(p) = 9*p + 371. Let t be f(-41). Sort t, 0.02, g in decreasing order. g, t, 0.02 Let n be 12/20 - (-36)/15. Suppose -8*p = -6*p - 4. Suppose 0 = -p*d + 4*d - 4*v + 10, -2*v = 0. Put d, n, -1 in ascending order. d, -1, n Let s be 2/(-3)*(4 - 1). Let m be (-15)/5*s/9. Let x = -2.63 - 0.37. Put m, x, -1/3 in decreasing order. m, -1/3, x Let s = 77 + -849/11. Sort 19/2, s, 0.4, -2/3 in decreasing order. 19/2, 0.4, s, -2/3 Let d be (-177)/(-57)*(-302)/2. Let c = d - -469. Let r(u) = -u - 9. Let v be r(-5). Sort -3, v, c in increasing order. v, -3, c Let x = -30 + 34. Let t = 16 - 16.9. Sort x, 0.3, t in decreasing order. x, 0.3, t Suppose 5*c = -b + 8, -4*b - 4*c = -15 - 1. Let k(y) = 5*y - 3. Let g be k(b). Suppose -4*i + 2*i = -3*a + g, -5*i + 8 = 2*a. Put -1, a, 5 in increasing order. -1, a, 5 Let g = 2 - 20. Let c be (2/g)/(1/(-6)). Let f be ((-2)/66)/((-4)/24). Sort -2/3, c, f in increasing order. -2/3, f, c Let x be ((-7)/4)/((-6)/(-48)). Let y = 14 + x. Let n(z) = -3*z - 22. Let q be n(-9). Put q, y, -20 in decreasing order. q, y, -20 Let c = 1923 - 1922. Sort c, -6, 9 in decreasing order. 9, c, -6 Let s(i) = 2*i**2 - 27*i + 16. Let g be s(13). Sort 9, g, -3 in descending order. 9, g, -3 Let b = -997 - -992. Sort 42, 5, b, -4. b, -4, 5, 42 Suppose 0 = -u + 8 + 13. Sort -6, u, -1 in descending order. u, -1, -6 Let w be (-2)/(-36)*(-13 - -15). Put w, 5, 1 in decreasing order. 5, 1, w Let k be 6/(-198)*-11*(-15)/(-2). Sort -278, 3, k. -278, k, 3 Let g(r) = -2*r**2 - 6*r + 3. Let b be g(-3). Suppose -4 = -4*z + 2*j, -b*z + j = -2*j. Put 0, z, -5 in descending order. z, 0, -5 Let w(h) = -92*h - 292. Let y be w(-3). Sort 1, -2, y. y, -2, 1 Let m = -3 + 0. Let b = 36 - 57. Let h = 20 + b. Put m, h, 6 in increasing order. m, h, 6 Suppose 547*c = 565*c. Suppose -4*i + 9*i + 30 = 0. Sort 5, c, i in ascending order. i, c, 5 Let n be ((-4)/(-3))/((-12)/(-162)). Let j be (4 + -4)/((-1 - -2)*1). Put j, -1, n in decreasing order. n, j, -1 Suppose 5*g + 0*b - 22 = -2*b, 26 = 5*g + b. Suppose -4 = 2*z - g. Let x be (2 + z)/(-1 + 0). Put x, 1, -2 in ascending order. x, -2, 1 Let i = -3.9 - -4.3. Let a = 14 + -9. Put -3, i, -2, a in decreasing order. a, i, -2, -3 Let y = -691 - -695. Sort -1, y, -0.36 in descending order. y, -0.36, -1 Let g = -4.821 - 0.139. Let x = 5 + g. Let r = x + -0.54. Sort 1/6, 5, r in descending order. 5, 1/6, r Suppose -5*u - 3*c - 583 = 0, 5*u + 5*c + 579 = c. Let o be (8/(-14))/(17/u). Put o, -0.2, -3, 2 in decreasing order. o, 2, -0.2, -3 Let j = -3.5 - -25.5. Sort -6/11, 4, j. -6/11, 4, j Let w be (-9)/(-12) + (-90)/(-8). Suppose -w*c + 9*c = 3. Sort 0, 18, 3, c in decreasing order. 18, 3, 0, c Let a be (-3)/(-12) + 32091/(-76). Put 1, -1, a in ascending order. a, -1, 1 Let k = 8 + 29. Sort -5, k, -0.1, 5 in decreasing order. k, 5, -0.1, -5 Let y be 4 - (-9 + (-12)/4 + -1). Suppose -y*d = -13*d - 8. Put d, -3, -7 in ascending order. -7, -3, d Suppose 5*b + 7*b = 1056. Let x be (-30)/(-165) + (-38)/b. Put x, 0.3, -0.04 in decreasing order. 0.3, -0.04, x Let m be (-531)/63 + (-3)/(-7). Let i = -16 - m. Let t = i - -7. Sort 3, t, -2 in descending order. 3, t, -2 Let g(s) = 5*s**2 - 10*s. Let f(x) = x**2. Let v(a) = -6*f(a) + g(a). Let c be v(-10). Suppose 5*b = 2*r - 19, -r + 2 = -4*b + 3*b. Sort -2, c, b. b, -2, c Suppose 14*i - 27*i = -65. Suppose 6*h = -4*z + h - 7, -i = z - 2*h. Sort 5, 3, z in increasing order. z, 3, 5 Suppose 0 = -4*z + 9*z - 5. Let d be (-230)/(-69) - 2*z. Sort -1.2, d, 0.5. -1.2, 0.5, d Let r = -1.7 + 6.7. Let j = -5.5 + r. Let b = 1494/7 - 213. Sort -1, b, j in ascending order. -1, j, b Let l(w) = -w**3 + 19*w**2 + 19*w + 25. Let y = 34 + -14. Let h be l(y). Suppose f + 14 = 3*f. Put f, h, 2 in descending order. f, h, 2 Let v = 12 - 7. Let j = v - 4. Suppose 0 = -3*a + f + 4*f, 0 = 5*f. Put j, a, 2 in ascending order. a, j, 2 Let j(d) = 10*d**2 + 49*d - 6. Let l be j(-5). Put l, 0, -29 in decreasing order. 0, l, -29 Let g = 294 - 189.2. Let b = -105 + g. Sort b, -1/2, -1 in descending order. b, -1/2, -1 Let w = -1632.3 + 1632. Let k be (-92)/(-20) - (-2)/5. Suppose k*a = -10 - 5. Sort a, 0.2, w. a, w, 0.2 Let q be (-1 - (-6)/10) + (-40)/25. Sort q, 3, 5, -4 in decreasing order. 5, 3, q, -4 Let f = 180 + -186. Sort -3, 4, f. f, -3, 4 Let f = 0 + 0.2. Let j = 3380/3 - 6757/6. Sort f, j, -2/3 in ascending order. -2/3, f, j Suppose -5*x - 5*k + 35 = 0, -8 - 6 = 3*x - 4*k. Let y be (x + -1)*2 - 4. Sort -4, y, 4 in descending order. 4, y, -4 Suppose -5*s + a = -23, 4*s = 19*a - 15*a + 28. Suppose -f + 4*f = -15. Suppose -8 = -4*o, 3*o = -c + 5*o + 1. Put f, c, s in increasing order. f, s, c Let v = 0.3 - 0.5. Let b = -0.07 - 1.93. Let p = 4 + b. Sort 0, v, p in descending order. p, 0, v Let i be (2 - 0/1)*-2. Let h(z) = 2*z - 11. Let c be h(8). Suppose c*k - 12 + 5 = 2*d, 2*d + 3*k - 17 = 0. Put d, i, -5 in decreasing order. d, i, -5 Let l be -3 + (-6)/9 + 64/24. Put l, -12, 4 in descending order. 4, l, -12 Let s = 516 - 511. Let y be -3*(-8)/84*7/4. Let p = 2.69 + -2.8. Put p, s, y in decreasing order. s, y, p Suppose -34 = -62*o + 28. Sort -4, -2, o, -39 in descending order. o, -2, -4, -39 Suppose -t + 19 = -5*d, 1 = -0*t + t + d. Let h(y) = -4 - y - t + 2*y**2 - 3*y**2 + 0*y**2. Let u be h(0). Put -5, -3, u in ascending order. u, -5, -3 Let a = 340 - 339.7. Put -4, a, 1/16 in decreasing order. a, 1/16, -4 Let u = -370 - -373. Let l be (-10)/(-2) + 1 + -1. Sort l, u, 1 in decreasing order. l, u, 1 Let h = 1.02 - 1. Let r be ((-24)/28)/(4/(-8)*-39). Let c = r - -242/1365. Sort -1/2, h, c in decreasing order. c, h, -1/2 Let p = -726 - -727. Put -5, p, 2/147 in increasing order. -5, 2/147, p Suppose -9*k - 24 = o - 14*k, k = -3*o - 8. Let x(f) = -f. Let n be x(6). Put -1, n, o in descending order. -1, o, n Let s = -0.1 - -0.1. Let a = -3715 + 3716. Put 4, a, s in decreasing order. 4, a, s Suppose 2*a + 40 = 7*a. Suppose 0 = -6*v + 8*v + a. Let m = -293 + 3811/13. Sort v, m, -2. v, -2, m Let r be 6/27 + 16/9. Let q be (4/84)/(r/4). Sort 5, -0.09, q in ascending order. -0.09, q, 5 Let r = -1.95 + 2.08. Let d = -0.07 + 5.07. Let n = 61 - 57. Put r, n, d in increasing order. r, n, d Suppose 2*x + 6*a + 14 = 4*a, -3*x = -a + 5. Put -1, 1, x, 3 in decreasing order. 3, 1, -1, x Let a = 0.0368 - 83.0368. Sort a, -0.4, 4/3, -5/2 in increasing order. a, -5/2, -0.4, 4/3 Let f = 157.7 + -158. Sort -5, -2, f, 5 in descending order. 5, f, -2, -5 Let v(n) = n**3 - 3*n**2 - 3*n - 2. Let u be v(4). Suppose m = -u*m + 3. Suppose -103*h + 92*h - 44 = 0. Put h, m, 3 in descending order. 3, m, h Let u be 17/(-1 - (-3 + (-66)/(-34))). Put u, 5, -1 in increasing order. -1, 5, u Let d =
{ "pile_set_name": "DM Mathematics" }
1 u when two letters picked without replacement from avevvuueve? 2/15 What is prob of picking 2 y and 1 k when three letters picked without replacement from {k: 1, y: 3, e: 1}? 3/10 What is prob of picking 2 p when two letters picked without replacement from pdpdkppdpbappkcp? 7/30 What is prob of picking 2 e and 1 l when three letters picked without replacement from {x: 2, a: 1, e: 2, l: 1}? 1/20 What is prob of picking 3 i when three letters picked without replacement from {i: 7, u: 5}? 7/44 Four letters picked without replacement from aeeeeaeeeaaaee. What is prob of picking 4 a? 5/1001 Two letters picked without replacement from {q: 1, p: 5, h: 2, z: 7, y: 2, c: 3}. Give prob of picking 1 c and 1 h. 3/95 Three letters picked without replacement from kkgf. What is prob of picking 1 f and 2 k? 1/4 What is prob of picking 4 w when four letters picked without replacement from {r: 1, w: 5, l: 4}? 1/42 Two letters picked without replacement from {x: 10, f: 4}. What is prob of picking 1 f and 1 x? 40/91 Four letters picked without replacement from ulooblo. Give prob of picking 3 u and 1 o. 0 What is prob of picking 3 q when three letters picked without replacement from {q: 4, v: 10}? 1/91 Calculate prob of picking 2 k and 1 p when three letters picked without replacement from {k: 4, p: 15}. 30/323 Three letters picked without replacement from xxxxxxxxxxxxgxxxxxx. Give prob of picking 1 g and 2 x. 3/19 What is prob of picking 1 h and 1 u when two letters picked without replacement from {w: 3, h: 3, v: 1, u: 3, t: 1, d: 2}? 3/26 Two letters picked without replacement from hahhrhhhhbra. Give prob of picking 2 h. 7/22 Three letters picked without replacement from {x: 1, z: 4, d: 2, c: 2, o: 4, v: 1}. What is prob of picking 1 v, 1 x, and 1 d? 1/182 Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {q: 9, u: 1, n: 5, h: 1, r: 2}. 5/153 Three letters picked without replacement from {l: 7, h: 6, o: 1, f: 1}. What is prob of picking 3 f? 0 What is prob of picking 1 p and 1 c when two letters picked without replacement from xcxxpxcxxxxxxxcxxxxx? 3/190 Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {n: 12, d: 1}. 3/13 Three letters picked without replacement from {o: 8, i: 1, e: 8}. Give prob of picking 1 e and 2 o. 28/85 What is prob of picking 2 n when two letters picked without replacement from {n: 7, g: 5}? 7/22 Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 2, o: 2}. 2/3 Calculate prob of picking 1 p and 2 a when three letters picked without replacement from {p: 17, a: 2}. 1/57 What is prob of picking 2 m and 1 p when three letters picked without replacement from {m: 2, t: 1, p: 1}? 1/4 Three letters picked without replacement from {o: 1, l: 2, b: 6, y: 3, a: 2}. What is prob of picking 1 y, 1 l, and 1 b? 9/91 What is prob of picking 2 r and 1 h when three letters picked without replacement from rzzzzhhzhrzzrhrz? 3/70 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {r: 10, x: 1, a: 5, i: 1}. 5/68 Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, d: 15}. 1/51 What is prob of picking 1 f and 1 r when two letters picked without replacement from {e: 2, r: 1, f: 7}? 7/45 Four letters picked without replacement from {m: 1, z: 1, s: 3, o: 3, h: 2, i: 1}. What is prob of picking 3 h and 1 z? 0 What is prob of picking 1 v and 2 h when three letters picked without replacement from {h: 11, v: 9}? 33/76 Calculate prob of picking 1 e, 1 k, and 1 x when three letters picked without replacement from xbehkch. 1/35 What is prob of picking 1 i, 1 r, and 1 d when three letters picked without replacement from {i: 2, d: 2, r: 1, c: 1, x: 1}? 4/35 What is prob of picking 2 b when two letters picked without replacement from pbppppbbpppbpp? 6/91 Calculate prob of picking 1 q, 1 v, and 1 j when three letters picked without replacement from qqjrjvwt. 1/14 What is prob of picking 2 e when two letters picked without replacement from eeexaxaxxae? 6/55 Two letters picked without replacement from {x: 1, i: 2, t: 7, c: 1, r: 2, d: 1}. Give prob of picking 1 x and 1 d. 1/91 Calculate prob of picking 2 b when two letters picked without replacement from {t: 1, c: 5, b: 2, l: 1}. 1/36 Calculate prob of picking 1 u and 3 v when four letters picked without replacement from {u: 2, z: 1, v: 4, f: 2}. 4/63 Four letters picked without replacement from {h: 2, j: 8, d: 2, o: 1, w: 2, m: 2}. Give prob of picking 1 o, 2 j, and 1 w. 2/85 Three letters picked without replacement from {e: 7, o: 6}. What is prob of picking 2 o and 1 e? 105/286 Two letters picked without replacement from kekwwxwjkwjw. Give prob of picking 2 k. 1/22 Two letters picked without replacement from ebeb. Give prob of picking 2 b. 1/6 Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {b: 2, e: 4, c: 8, a: 1}. 2/105 Two letters picked without replacement from rdgrddgr. What is prob of picking 1 d and 1 g? 3/14 Two letters picked without replacement from {i: 3, a: 2, n: 4, r: 2, z: 3, m: 1}. What is prob of picking 1 a and 1 n? 8/105 What is prob of picking 1 t, 1 z, and 2 r when four letters picked without replacement from {t: 2, w: 1, z: 1, v: 2, g: 1, r: 2}? 1/63 Two letters picked without replacement from {t: 6, s: 1, c: 7, p: 6}. What is prob of picking 2 t? 3/38 What is prob of picking 2 p when two letters picked without replacement from rrpprrrorr? 1/45 Two letters picked without replacement from {c: 5, z: 2}. Give prob of picking 2 z. 1/21 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {m: 1, b: 5, o: 1, j: 2, l: 7}. 1/28 Three letters picked without replacement from {t: 1, u: 2, b: 1, o: 2, d: 1}. What is prob of picking 1 d and 2 o? 1/35 Four letters picked without replacement from {f: 2, q: 10, b: 1, j: 2, h: 1}. What is prob of picking 2 f, 1 h, and 1 j? 1/910 Calculate prob of picking 1 r, 1 f, and 1 a when three letters picked without replacement from rrrpfrfarfaa. 9/44 Four letters picked without replacement from {p: 2, i: 2, w: 1}. What is prob of picking 2 w, 1 p, and 1 i? 0 What is prob of picking 1 z and 1 l when two letters picked without replacement from {h: 4, v: 1, z: 1, l: 8, x: 3}? 1/17 What is prob of picking 1 j, 1 n, and 1 k when three letters picked without replacement from gknbbjgf? 1/56 Four letters picked without replacement from {h: 4, e: 1, n: 1, t: 4, z: 3, b: 5}. What is prob of picking 1 t and 3 b? 2/153 Four letters picked without replacement from uuuyyyyyyyyyyyyyyyyy. What is prob of picking 4 y? 28/57 Calculate prob of picking 1 q, 1 j, and 1 w when three letters picked without replacement from {w: 7, j: 4, m: 2, q: 5, l: 2}. 7/57 Four letters picked without replacement from {s: 2, f: 5, k: 3, p: 3}. What is prob of picking 1 p and 3 f? 6/143 Two letters picked without replacement from nwstr. What is prob of picking 2 r? 0 Calculate prob of picking 1 s, 1 o, and 2 r when four letters picked without replacement from ssseerresseessos. 2/455 Calculate prob of picking 2 j and 2 p when four letters picked without replacement from {p: 8, j: 3}. 14/55 Four letters picked without replacement from gwggglwggggglgglgg. Give prob of picking 3 g and 1 w. 143/765 Three letters picked without replacement from kkbcbkblilvk. Give prob of picking 1 c, 1 i, and 1 b. 3/220 Calculate prob of picking 1 j, 1 x, and 2 y when four letters picked without replacement from jmxjwyy. 2/35 What is prob of picking 2 a when two letters picked without replacement from {t: 1, k: 5, b: 2, a: 5, g: 3}? 1/12 Calculate prob of picking 1 k and 1 d when two letters picked without replacement from kduk. 1/3 Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, b: 3}. 1/5 Three letters picked without replacement from pywmmmmw. What is prob of picking 1 m, 1 p, and 1 w? 1/7 What is prob of picking 3 n when three letters picked without replacement from nnnnnnnnn? 1 Four letters picked without replacement from esaaeeeqs. What is prob of picking 1 e, 1 q, and 2 s? 2/63 Calculate prob of picking 1 l and 1 m when two letters pick
{ "pile_set_name": "DM Mathematics" }
ent from {h: 7, a: 3}. What is prob of picking 2 a and 1 h? 7/40 Two letters picked without replacement from ulloaxoll. Give prob of picking 1 l and 1 o. 2/9 Calculate prob of picking 1 h and 3 c when four letters picked without replacement from cxxcmuhccccaca. 5/143 What is prob of picking 1 f and 1 x when two letters picked without replacement from gefxqtxet? 1/18 Calculate prob of picking 1 p, 1 n, and 1 x when three letters picked without replacement from punuaxxalxxn. 2/55 Four letters picked without replacement from {q: 17, b: 2}. Give prob of picking 4 q. 35/57 What is prob of picking 2 d when two letters picked without replacement from ddd? 1 Calculate prob of picking 1 x, 1 o, and 1 q when three letters picked without replacement from {l: 3, x: 1, y: 5, j: 4, q: 1, o: 1}. 1/455 Two letters picked without replacement from {s: 2, i: 5, c: 2}. Give prob of picking 1 i and 1 c. 5/18 Two letters picked without replacement from qyayyya. Give prob of picking 1 y and 1 q. 4/21 What is prob of picking 1 i, 1 e, and 1 p when three letters picked without replacement from {m: 1, p: 1, i: 1, f: 1, e: 1}? 1/10 Four letters picked without replacement from wvvwww. Give prob of picking 2 v and 2 w. 2/5 What is prob of picking 2 x and 1 v when three letters picked without replacement from {q: 2, x: 2, v: 9, p: 1}? 9/364 Two letters picked without replacement from pekvmhem. What is prob of picking 1 p and 1 e? 1/14 What is prob of picking 4 h when four letters picked without replacement from nhhhhhhhhhhhh? 9/13 Calculate prob of picking 2 w when two letters picked without replacement from {k: 3, w: 15}. 35/51 What is prob of picking 3 v when three letters picked without replacement from vvhh? 0 Two letters picked without replacement from cocvrvocrecirrvvrciv. Give prob of picking 1 o and 1 e. 1/95 Four letters picked without replacement from {l: 1, d: 4, b: 1, i: 7, p: 5, w: 1}. What is prob of picking 2 i, 1 d, and 1 b? 7/323 Calculate prob of picking 3 o when three letters picked without replacement from oooo. 1 Four letters picked without replacement from {c: 10, e: 10}. Give prob of picking 4 e. 14/323 What is prob of picking 1 c and 1 a when two letters picked without replacement from chhaacaccaah? 10/33 Two letters picked without replacement from exigeeeixeixieeagf. Give prob of picking 1 a and 1 i. 4/153 Two letters picked without replacement from ixssbnssi. What is prob of picking 2 i? 1/36 Calculate prob of picking 3 d and 1 g when four letters picked without replacement from gddddddddgdd. 16/33 Calculate prob of picking 1 d and 2 p when three letters picked without replacement from pdpdd. 3/10 Three letters picked without replacement from {u: 3}. What is prob of picking 3 u? 1 Calculate prob of picking 3 f when three letters picked without replacement from {f: 13, o: 5}. 143/408 Four letters picked without replacement from {f: 5, b: 9}. Give prob of picking 2 f and 2 b. 360/1001 Two letters picked without replacement from {i: 3, a: 4, v: 8, w: 2}. What is prob of picking 1 i and 1 a? 3/34 Calculate prob of picking 1 r and 1 l when two letters picked without replacement from lllorirl. 2/7 Three letters picked without replacement from {t: 3, c: 7, p: 3, j: 2, l: 3}. What is prob of picking 1 l and 2 c? 21/272 Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {y: 3, p: 5}. 15/56 Three letters picked without replacement from jjffjccc. What is prob of picking 1 c, 1 f, and 1 j? 9/28 Three letters picked without replacement from rdrrl. Give prob of picking 3 r. 1/10 Four letters picked without replacement from wwwiimmwi. Give prob of picking 2 w, 1 m, and 1 i. 2/7 What is prob of picking 3 r and 1 e when four letters picked without replacement from {e: 14, r: 4}? 14/765 Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {j: 3, o: 2, t: 12}. 22/119 What is prob of picking 1 p, 1 m, and 2 x when four letters picked without replacement from {x: 2, m: 4, i: 8, p: 1}? 4/1365 Calculate prob of picking 1 t, 1 s, and 1 c when three letters picked without replacement from {j: 2, c: 1, a: 3, t: 9, s: 1, e: 3}. 3/323 Two letters picked without replacement from wgrqtdw. What is prob of picking 1 r and 1 q? 1/21 What is prob of picking 2 z when two letters picked without replacement from {o: 2, z: 2, a: 3, h: 1, l: 3, m: 4}? 1/105 Two letters picked without replacement from dsdcctdddddddcdddds. What is prob of picking 1 s and 1 t? 2/171 What is prob of picking 3 k and 1 z when four letters picked without replacement from {k: 4, r: 11, z: 4}? 4/969 What is prob of picking 1 p and 2 f when three letters picked without replacement from ffffpffffppf? 27/55 What is prob of picking 1 c and 1 b when two letters picked without replacement from ccobobbob? 2/9 Calculate prob of picking 1 y and 1 u when two letters picked without replacement from yzugjuuuu. 5/36 Two letters picked without replacement from lxryxxyyxxto. Give prob of picking 1 l and 1 o. 1/66 Calculate prob of picking 1 k and 1 x when two letters picked without replacement from xokfufuffxud. 1/33 Calculate prob of picking 2 k when two letters picked without replacement from wwwkkwkwkkkkwkywyw. 28/153 Two letters picked without replacement from mmmmemmmmmw. Give prob of picking 2 m. 36/55 Four letters picked without replacement from nozznnonnoeenzninw. What is prob of picking 3 z and 1 n? 2/765 Calculate prob of picking 1 m, 1 u, and 1 t when three letters picked without replacement from {w: 3, x: 7, v: 2, u: 2, t: 5, m: 1}. 1/114 What is prob of picking 1 z and 2 n when three letters picked without replacement from znnznnnwzznaznzznzna? 24/95 Three letters picked without replacement from rrmrmrmppmrrpr. What is prob of picking 2 p and 1 m? 3/91 Calculate prob of picking 1 s, 1 g, 1 r, and 1 k when four letters picked without replacement from {q: 3, r: 3, s: 1, d: 1, k: 2, g: 1}. 1/55 Calculate prob of picking 3 e when three letters picked without replacement from eeeeeee. 1 Calculate prob of picking 1 k, 1 o, and 2 a when four letters picked without replacement from {k: 1, a: 2, f: 1, o: 1}. 1/5 What is prob of picking 1 l and 1 h when two letters picked without replacement from hul? 1/3 Two letters picked without replacement from {m: 2, j: 8, c: 5}. Give prob of picking 1 c and 1 m. 2/21 Two letters picked without replacement from {b: 3, y: 5, l: 6, m: 1}. Give prob of picking 2 y. 2/21 Four letters picked without replacement from tktdtddtrr. Give prob of picking 1 t and 3 d. 2/105 Four letters picked without replacement from {b: 4, e: 6, a: 1}. What is prob of picking 2 b and 2 e? 3/11 Two letters picked without replacement from {g: 1, q: 2, r: 1, x: 1, v: 1, y: 1}. Give prob of picking 1 g and 1 r. 1/21 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dodlbwboa. 1/9 Four letters picked without replacement from {k: 4, a: 1, o: 1, d: 1, n: 3, b: 2}. What is prob of picking 1 d, 1 k, and 2 b? 4/495 Three letters picked without replacement from ndnndnnnnnd. What is prob of picking 2 n and 1 d? 28/55 Four letters picked without replacement from {l: 4, y: 3, m: 7, u: 4}. What is prob of picking 2 l, 1 m, and 1 u? 14/255 Four letters picked without replacement from {k: 5, g: 3, w: 3, y: 5, b: 2}. Give prob of picking 1 k and 3 g. 1/612 Four letters picked without replacement from {x: 4, h: 3, j: 3, m: 1, k: 2, l: 2}. Give prob of picking 1 h, 1 k, and 2 x. 12/455 Three letters picked without replacement from {h: 3, i: 1, u: 2, g: 1, z: 6}. Give prob of picking 1 u, 1 z, and 1 i. 6/143 Four letters picked without replacement from kakkxkaakakykxkykxya. Give prob of picking 1 y, 1 x, and 2 a. 6/323 Three letters picked without replacement from pgvvongxoxpnggpgg. Give prob of picking 1 g and 2 o. 3/340 Three letters picked without replacement from drdrdddrdrrddddddr. Give prob of picking 2 r and 1 d. 15/68 Two letters picked without replacement from {k: 2, u: 1, d: 2, w: 4, b: 1, y: 5}. What is prob of picking 1 y and 1 u? 1/21 Two letters picked without replacement from {n: 5}. What is prob of picking 2 n? 1 Two letters picked without replacement from qqkqfqfqbkbq. Give prob of picking 1 k and 1 q.
{ "pile_set_name": "DM Mathematics" }
6)/s - (-1)/(-4)? 8 Let d(v) be the second derivative of -v**3/6 + 5*v**2 - 3*v. Let x(a) = -a**3 + 3*a**2 - 2*a - 1. Let l be x(3). What is the tens digit of d(l)? 1 Let n(z) be the first derivative of -z**2 - 4*z + 1. Let b be n(-4). Suppose -2*l + b = 0, -3*h + 19 = 2*h + 2*l. What is the units digit of h? 3 Suppose -2*s + 6 + 2 = 0, 0 = -2*x + s - 18. Suppose -14 = -2*g - 4*p, -3*p - p + 13 = g. Let u = g - x. What is the units digit of u? 8 Let y(b) = b**2 - 10*b - 7. What is the units digit of y(12)? 7 Let h = 0 - -5. Suppose -4 = -h*t + 6. What is the units digit of t? 2 Let x = -1 + 6. Suppose -2*v - h = -70, -116 = -x*v + v + 4*h. What is the units digit of v? 3 Let p be (1/(-2))/((-1)/14). Suppose r - i = 9, 4*r + i - 4 - p = 0. What is the units digit of r - 1 - (1 + -1)? 3 Let o = -84 - -138. What is the tens digit of o? 5 What is the units digit of 833/21 + (-2)/3? 9 Suppose -p - 50 = -3*p. Let c = -4 + p. Suppose t = -2*t + c. What is the units digit of t? 7 Let n(a) = a - 3. What is the units digit of n(6)? 3 Let n = 7 - 2. Suppose 0 = -5*a + 2*c - 95, -n*c + 5 = a - 3. Let m = -10 - a. What is the units digit of m? 7 Let h(t) = t**3 - t**2. Let b be h(4). Suppose -2*l - 5*x + b = -4*x, 0 = 4*l - 2*x - 80. What is the units digit of l? 2 Suppose 114 = 2*k - 3*q, -4*k + q + q + 220 = 0. What is the tens digit of k? 5 Suppose -3*h + 0*a = -a - 10, 4*a + 19 = 5*h. What is the units digit of h? 3 Let j = -15 + 19. Suppose -3*q - 2*q = j*v - 219, 0 = -v - 4. What is the units digit of q? 7 Let u(j) = j**2 + 5*j + 4. Let v be u(-4). Let d(q) = v*q + 3*q - q. What is the units digit of d(4)? 8 Suppose -8 = -2*q + 3*y + y, q = 4*y + 8. Let r = 6 + q. What is the units digit of r? 6 Let d = -5 - -11. Let z(x) be the third derivative of -x**4/24 + 7*x**3/3 - 5*x**2. What is the units digit of z(d)? 8 Let t(s) = s**3 - 6*s**2 - 6*s + 10. Let j(p) = 2*p - 5. Let r be j(6). What is the units digit of t(r)? 7 Suppose -4*r = s - 35, -70 = -2*s - 6*r + 3*r. Suppose 0 = -4*t - f + s, 3*f - 21 = -2*t + 6*f. Let x = 15 - t. What is the units digit of x? 6 Let m(n) = 4*n**3 - n**2 + n - 5. Suppose 2*w = -2 - 2. Let s(p) = -3*p**3 + 4. Let y(d) = w*m(d) - 3*s(d). What is the tens digit of y(2)? 1 Suppose -94 = -x + 5*s, -5*x + 401 = s - 3*s. What is the tens digit of x? 7 Let h(a) = a**3 + 8*a**2 + a + 10. Let k be h(-8). Suppose -k*n + 4*r = 0, n + 0*r + r - 15 = 0. What is the tens digit of n? 1 Suppose -16*l + 15*l + 85 = 0. What is the tens digit of l? 8 Let y = 193 + -127. What is the units digit of y? 6 Suppose 0 = 3*y - 1 + 4, h + 2*y = -5. Let i = h - -8. What is the units digit of i? 5 Suppose -4*c + 1805 = 569. What is the tens digit of c? 0 Suppose -198 = 4*h - 7*h. What is the units digit of h? 6 Let x(b) = 2*b**3 + b**2 - 1. Let p be x(1). Suppose 28 = p*f + 2*f. What is the units digit of f? 7 What is the units digit of (55 - -1) + 2 - 2? 6 Let a be (3/4)/(5/40). Suppose 11*p - a*p = 0. Let x = p + 15. What is the units digit of x? 5 Suppose x + 3 = -0*x. What is the units digit of ((-1)/x)/(4/12)? 1 Suppose -r - 2*r = -267. What is the tens digit of r? 8 What is the hundreds digit of -6*(-2)/6*61? 1 Suppose -4*s + s = -54. What is the tens digit of s? 1 Let k = -56 + 82. What is the units digit of k? 6 Let s(p) be the first derivative of 1 + p - 1/2*p**2. What is the units digit of s(-5)? 6 Let j = 0 - -2. Suppose 0*y = j*y - 30. Suppose 4*u - 2*q = 28, -2*u + y = -3*u - 5*q. What is the units digit of u? 5 Let r = 16 - 17. What is the units digit of -2*(r + 58/(-4))? 1 Let v be ((-18)/(-3))/3*8. Suppose -4*z - v = -4*w, -3*w + w = 3*z + 2. What is the units digit of w? 2 Let n be -5 + (-2)/(2/3). Let o = n - -14. What is the units digit of o? 6 Suppose 0 = 2*y + 3*y - 250. What is the units digit of y? 0 Suppose 5*j - 28 = 4*g - 188, 0 = -3*g - 3*j + 93. Suppose 3*f = 2*k + 23, 2*f + g = 5*f - 5*k. Suppose -25 = -f*c + 45. What is the units digit of c? 4 Let u(t) = t**2 + 8*t + 6. Let q(a) = 3*a**2 + 17*a + 11. Let y(h) = 2*q(h) - 5*u(h). Let r be y(6). Let x = r - -13. What is the units digit of x? 5 Let b = -1 - -15. What is the units digit of b? 4 Suppose v = -3*v - 28. Let z = v - -10. Suppose 24 = 3*y + c, -6*c = z*y - 2*c - 15. What is the units digit of y? 9 Let a = -13 + 23. Suppose -5*j + a = 5*s, s + 2*j - 2 + 3 = 0. What is the units digit of s? 5 Let w = 1 + 0. Let h be 1 - w/(3/(-12)). Suppose j + 34 = h*o, 4*o - 9 = 4*j + 15. What is the units digit of o? 7 Suppose i = -k + 192, -6*k + i + 972 = -k. What is the units digit of k? 4 Let a(c) = -13*c**3 + c**2 - c + 1. Let w be a(1). Let q = -6 - w. What is the units digit of q? 6 Suppose 3*m = -2*m. Let c be m/(-2)*3/6. Suppose 2*l + 6 = 0, -j - l + 5*l + 20 = c. What is the units digit of j? 8 Suppose 2*w = -w + 21. Suppose -3*y = -w*y + 8. Suppose 0 = -y*j - 3*j + 45. What is the units digit of j? 9 Let o = -7 + 25. What is the units digit of o + 0 - (5 - 2)? 5 Suppose 0 = -2*y + 14 - 6. Suppose 27 = y*n + 3. Suppose 25 = n*u - u. What is the units digit of u? 5 Let j(t) = -t**2 - 10*t - 7. Let h be j(-9). Suppose -6*m = -h*m - 200. What is the units digit of m? 0 What is the hundreds digit of (-1 - (-15)/(-6))*-42? 1 Suppose 0 = -t + 2*t - 3. Suppose -t*u + g + 0*g = -34, 2*u - 34 = -5*g. What is the units digit of u? 2 Let i = 10 - -2. What is the units digit of i? 2 Let g be 0 + 13/2*2. Let v = g - 9. Suppose v = 4*s - 0. What is the units digit of s? 1 Let b(i) = -i**3 - 9*i**2 - 10*i - 5. What is the tens digit of b(-8)? 1 Let j be (2 + 2)*(-19)/4. Let z = -13 - j. What is the units digit of z? 6 Let v(p) = 27*p**2 + 1. Let q be v(-1). Let s(m) = m**3 - 2*m**2 + m. Let z be s(1). Suppose z = x - 4*x - 2*w + q, 10 = 2*w. What is the units digit of x? 6 What is the units digit of ((-84)/(-9))/(1/6)? 6 Suppose 462 + 1154 = 8*c. What is the units digit of c? 2 Let m be -1 - 1*1/(-1). Suppose 5*k + 60 = 4*n, -5*n + m*k = -2*k - 58. What is the tens digit of n? 1 Suppose -3*z + 40 - 16 = 0. What is the units digit of z? 8 Suppose 0 = -2*h - h - 3. Let a = h - -1. Let q = a + 5. What is the units digit of q? 5 Let o = -7 + 5. Let n(x) = -x**3 - 2*x - 2. What is the tens digit of n(o)? 1 Let h(g) = -g**3 + 10*g**2 - 2*g + 6. What is the units digit of h(4)? 4 Suppose -i - 21*y = -18*y - 285, 4*y = 2*i - 540. What is the units digit of i? 6 Let t be (-344)/(-32) + (-2)/(-8). Let r = t + -5. What is the units digit of r? 6 What is the units digit of (-7 - -13)*357/6? 7 Let o(w) = -14*w - 3. What is the tens digit of o(-5)? 6 Suppose z = -z - 8, 0 = 5*o - 5*z - 100. What is the tens digit of o? 1 Suppose 4*f - 416 = 4*y, 5*f + 5*y = -0*f + 560. What is the tens digit of ((-1)/(-2))/(3/f)? 1 Let x(j) = -j**3 + 4*j**2 + 5*j - 5. Let w be x(4). Suppose 5*t + 0*t = w. Suppose -2*h - p - p - 2 = 0, 4*h - t*p = 17. What is the units digit of h? 2 Let p(w) = -w**2 - 7*w - 9. Let j = 13 - 19. Let u be p(j). Let i(a) = a**3 + 4*a**2 + 3*a + 3. What is the units digit of i(u)? 3 Let l = -7 - -49. What is the tens digit of l? 4 Suppose 0 = v - 3 + 1. Let z be v/((-3)/(30/(-4))). Let p = 8 - z. What is the units digit of p? 3 What is the tens digit of (-6)/(-3)*(-63)/(-6)? 2 Let u = 268 + -92. What is the units digit of u? 6 Suppose 3*x = -5*d + 18, -5*x - 9 - 1 = -5*d. What is the units digit of 7 + 1 - (-3 + d)? 8 Let p(v) be the third derivative of -11*v**4/24 + v**3/2 + 4*v**2. What is the units digit of p(-2)? 5 Let t(y) = 2*y**3 - 7*y**2 - 11*y. Let w(v) = -3*v**3 + 15*v**2 + 22*v. Let z(k) = -5*t(k) - 3*w(k). What is the units digit of z(-9)? 8 Suppose t = 3*t - 8. Suppose -5 = -5*q + 5*s, t*q - 13 = -0*q + s. Let k = q + -2. What is the units digit of k? 2 Let j = 10 - 7. Suppose 0 = m + j - 5. What is the units digit of m? 2 Let q(k) = k**3 - 19*k**2 + 38. What is the units digit of q(19)? 8 Let i be ((-9)/(-15))/(1/10). Suppose -123 = 3*d - i*d. What is the tens digit of d? 4 Suppose u = -4*u + 25. Suppose u*h - 34 = 11. What is the units digit of h? 9 What is the tens digit of -1 + 3 + (73 - 0)? 7 Suppose 0 = 3*j - 2*z - 505 + 20, 0 = 5*j + z - 804. What is the hundreds digit of j? 1 Suppose 0 = -0*d + 3*d - 3. Let c(a) = d + a - 2 - 7 + a. What is the units digit of c(7)
{ "pile_set_name": "DM Mathematics" }
l(g). Solve -w = n + n for n. -3 Let k = 83 + -82. Solve -k = 2*d - 3 for d. 1 Let b(v) = 3*v - 37. Let h be b(13). Let j(k) = k - 4. Let r be j(4). Solve h*y + 2*y = r for y. 0 Suppose -4*z - 88 = 4*n, 2*z = -n + 5*n - 38. Let w = z - -35. Let s be (-8)/4 - w/(-2). Solve 35 = -s*i + 10 for i. -5 Suppose -j = -5*j, 2*j + 4 = 2*o. Solve -3*n + o*n - 2 = 0 for n. -2 Suppose -4*y + 21 = y - 3*f, y - 2*f = 0. Suppose 5*v + 1 - 21 = r, 3*r = 5*v - 10. Let i be 3/r + 34/10. Solve z - y = i*z for z. -2 Let v = 94 - 90. Let u = 11 + -5. Solve o - v*o = u for o. -2 Let n be -4*(-50)/(-20)*2/(-20). Solve -2 = v - n for v. -1 Let v be (1 - -1) + 12/4. Solve -3*s - 4 = v for s. -3 Let n(y) = 23*y**3 - 24*y**3 + 5*y - 5 + 6*y - 2*y + 5*y**2. Let o be n(6). Solve 2 = -3*z - o for z. -5 Let y(s) = -s**2 + 9*s + 2. Let i be y(9). Solve -i*w - 9 + 3 = 0 for w. -3 Suppose 10 = 2*o + 3*o. Let l = -2 + o. Solve l = -7*a + 2*a + 15 for a. 3 Let n(d) = -d**2 + 2*d - 1. Let f be n(3). Let w be f/((-64)/12)*4. Solve 4 = -w*o - o for o. -1 Let f(k) be the third derivative of k**6/120 - k**5/15 + k**4/8 + 2*k**3/3 + 3*k**2. Let q be f(3). Solve q*v = -v for v. 0 Let u(g) be the second derivative of -g**4/12 - 7*g**3/6 + 11*g**2/2 - 7*g. Let q be u(-8). Solve 4*s - q = 13 for s. 4 Let t = 62 - 56. Let p = 9 - 6. Solve -t = -p*r + 5*r for r. -3 Let h be (0 + 2)*3/(-2). Let n = h - -11. Let i = -428 - -432. Solve i = -4*d - n for d. -3 Suppose 6*s - 12 = 2*s. Let v(k) = -k**3 + k. Let c be v(-1). Solve -s*y - 13 - 2 = c for y. -5 Let s = -43 - -47. Solve -s*o + 15 = -o for o. 5 Suppose 0 = 4*j - 8. Suppose -k - 4*z + 1 = 2*k, 0 = 3*k + 5*z + 1. Let r be 0 - k - (-13 + 6). Solve -6*y + r = -j*y for y. 1 Let a be ((0/1)/(-2))/(-1). Let d be a*(2 - (-14)/(-6)). Solve 4*k + 3 + 1 = d for k. -1 Let p(i) = i + 2. Let m be p(-1). Solve 0 = -2*x - m + 3 for x. 1 Let o = -57 - -93. Suppose -3*i - o = -4*i. Solve 5*v = i - 11 for v. 5 Let t(o) = -o - 2. Let s be t(-13). Let k = -9 + s. Solve 0*j + k = j for j. 2 Suppose w - 7 = -3*s, -2*w - w + 13 = 5*s. Suppose -s*k = 3*k. Solve k = 8*r - 3*r for r. 0 Let r be (6 - 2)/(16/12). Let a be ((-7)/(-3))/((-3)/(-9)). Solve r*c - a*c = 0 for c. 0 Let f be (-16)/(-72) + 68/18. Suppose m + f = -c, 5*c - m - 12 = 2*m. Solve c*b + 4*b = -16 for b. -4 Suppose 4*l - 17*l + 91 = 0. Solve 3 - l = -2*m for m. 2 Let o be 15/(-9)*(-6 + 0). Solve 0*w - 2*w = -o for w. 5 Suppose -4*l + 4 = -4. Solve -2*h - 4 = l for h. -3 Let j = -10 - -10. Solve -d = -j*d for d. 0 Suppose 2 - 11 = -5*w + 2*g, -9 = 2*w - 5*g. Suppose -4*y + 3*y + 8 = 0. Solve -5*v = -y*v + w for v. 1 Let b = 1 - 1. Suppose 0 = 2*d - 59 - 11. Let j be 60/d - 4/(-14). Solve -j*c = -b*c - 2 for c. 1 Let u = -2 - -3. Suppose 0 = -2*n - u + 13. Solve t + t = n for t. 3 Suppose 7*f = 3*f. Suppose 0*c + c - 3*i = -9, f = 4*c - 3*i. Suppose 8*o - 25 = c*o. Solve -o*z - 3 = -2*z for z. -1 Suppose -3*s - 2*s + 20 = 0. Suppose -16 = -w - p, -s*w - 4*p + 4 = -5*w. Let t be 0/(2 - 0) - -5. Solve t*x + w = x for x. -3 Let a(b) = -b**3 + 6*b**2 - 8*b + 7. Let x be a(5). Let y be (-60)/(-16) + (-2)/x. Solve r = -y*r for r. 0 Let f = 12 - 7. Suppose f*w - 168 = -43. Solve -7*g + w = -2*g for g. 5 Let u(d) = d**2 - d - 2. Let g be u(-2). Let h be (-10)/8 - (-200)/32. Solve h*l + 1 = -g for l. -1 Let a = 37 - 33. Solve -a*f = f for f. 0 Let p(o) = -o**3 + 4*o**2 - o - 3. Let t(i) = 2*i**2 + 11*i - 3. Let b be t(-6). Let v be p(b). Let y(g) = -3*g - 1. Let k be y(-2). Solve -2 = -v*a - k for a. -1 Suppose 4*w + 16 = 48. Let y = -8 + w. Solve -3*u + y*u - 12 = 0 for u. -4 Let p(z) be the first derivative of -2*z + 1/2*z**2 - 1. Let i be p(4). Solve 1 + 1 = i*n for n. 1 Let r be 40/14*14/4. Suppose -s = -0 - 28. Suppose -3*u = 4*w - r - s, u = w + 8. Solve 3*f - 1 + u = 0 for f. -3 Let v be (-63)/(-35) - (-2)/10. Suppose 4*k + 5 = 21. Let l = k - 4. Solve l*n + 6 = -v*n for n. -3 Let f(t) = -t**3 - 7*t**2 - 7*t - 1. Let u = -15 - -9. Let j be f(u). Solve 0*k = k - j for k. 5 Suppose -10 = -l + 4*v, -2*l - l + 5*v = -16. Solve l*a = -5 - 1 for a. -3 Let c(r) = -3*r**2 + 4. Let w(q) = 4*q**2 - q - 4. Let f(u) = 6*c(u) + 5*w(u). Let g be f(2). Solve g*y = y for y. 0 Let s be 2/(5 - 3) + 1. Let b(a) = a**3 - a**2 + 1. Let k be b(s). Solve -k*q + 20 = -10*q for q. -4 Suppose -3*u - 24 = -2*n, -2*n - 2*u + 8 - 4 = 0. Let a be 0 + 1 - (-28)/4. Suppose 2*o + 3*k = 10, n*o - k - a = o. Solve s = -o*s for s. 0 Let c = 29 + -29. Solve c*g + 2*g = -6 for g. -3 Suppose 3*r + r - 20 = 0. Solve 3*g = r*g + 4 for g. -2 Suppose -5 = 5*f, 0 = 3*j - 3*f - 0*f - 90. Suppose -5*y = -r + j, -y - y - 26 = -4*r. Solve -r*o = o for o. 0 Let o(y) be the second derivative of -y**4/12 - 5*y**3/6 + y**2 - y. Let a be -9 + (-2)/(-2) - -3. Let g be o(a). Solve 0 = -g*b + 4*b for b. 0 Let x(b) = b - 3. Let k be x(10). Let p = 9 - k. Solve -m = -p*m for m. 0 Suppose -12 + 0 = -3*i. Solve i*q + 2 = -14 for q. -4 Suppose l - 2 - 2 = 0. Let h = l + -1. Solve 0 = -i - 1 - h for i. -4 Let s(d) = -d**3 + 11*d**2 + 12*d + 3. Let g be s(12). Solve 5*i - g*i + 2 = 0 for i. -1 Suppose -4*r = -6*r + 8. Let z = 7 - r. Solve 2 + 7 = z*g for g. 3 Let z(a) = 6*a + 52. Let g be z(-7). Suppose -b + 1 + 3 = 0. Let t(k) = 5*k - 1. Let i be t(2). Solve i*n = b*n - g for n. -2 Suppose -4*l + 4 = j, -3*l - 6 + 22 = 4*j. Solve 0*z - 3*z - 15 = l for z. -5 Let q = 11 - 3. Solve -f + q = -5*f for f. -2 Let r = -7 + 10. Let v = r + 0. Suppose v*a = 4*w - 4 + 1, -w - 4 = 4*a. Solve w = -2*z - z for z. 0 Suppose -4*o + o + 26 = 5*j, 0 = 3*o + 4*j - 22. Solve o*u - 16 = -2*u for u. 4 Suppose -o - 2 = -5. Suppose -o*a = -7 - 2. Solve -a*m = -5*m - 10 for m. -5 Let z be (-16)/(-14)*(-42)/(-12). Let t be 44/12 + z/(-6). Solve l = -t*l + 4 for l. 1 Suppose 10 = a + 8. Solve 2*v = a - 8 for v. -3 Let y be (0/(-4))/3 + 4. Solve y*f - 3*f = -1 for f. -1 Let v(r) = r**2 + r + 2. Let t be v(-1). Let m = -3 - -5. Suppose -m*p + 15 = p. Solve -p = t*s + 3 for s. -4 Let a be 2*2/(-4) - -4. Suppose q - a*q = -10. Suppose -13 = -3*z - 1. Solve 1 = -q*b + z*b for b. -1 Suppose -6 = -5*v + 3*j, 5*v + j + 1 = -1. Solve -2*r + 7 + 3 = v for r. 5 Let t(p) = p**3 + 9*p**2 + 8*p + 1. Let r be t(-8). Solve 7*k = 6*k - r for k. -1 Let a(y) be the first derivative of -y**2/2 + 13*y - 2. Let h be a(10). Let i = 5 - h. Solve -i*z = z for z. 0 Let k be (6/(-9))/(8/(-84)). Solve 3*q = -8 - k for q. -5 Let w(l) = -6*l**3 + l**2 + 15. Let c(a) = -7*a**3 + a**2 + 15. Let q(i) = -5*c(i) + 6*w(i). Let u be q(0). Solve -5*z + 0*z + u = 0 for z. 3 Let z(h) = h**2 + 2. Suppose -d - 4*y = y + 25, -5*d = y + 5. Let s be z(d). Solve -3 - 5 = s*r for r. -4 Let u = -15 - -8. Let j = -4 - u. Suppose -3 = m + j*p, 0*m + 2*m - 2*p = 10. Solve -5 = -4*v + m for v. 2 Let l = -3 - -6. Suppose 36 = -4*h + h. Let c be (l - (-7)/(-2))*h. Solve 0 = 3*p - 3 - c for p. 3 Let i = 3 + -1. Suppose 0 = w - 2*w - 3*q + 10, 2*q = 4. Suppose -r = w - 6. Solve r = i*z - 0 for z. 1 Let n(p) = 3*p**3 + p**2 - 1. Let u be n(1). Let r be (4 - (u + 0)) + 3. Suppose 4*v + v - 26 = -r*y, 0 = 3*y + v - 25. Solve -y = z + 2*z for z. -3 Let z = 11 + -16. Let q(i) = -i**3 - 5*i**2 + i + 7. Let n be q(z). Let u be (-3)/n*10/(-15). Solve 21 - u = -4*j for j. -5 Let h = -7 - -11. Suppose 0 = 3*k - h - 8. Solve -k*c - 21 = -5 for c. -4 Suppose -4*t - 12 = -156. Solve t - 11 = 5*q for q. 5 Let n = 14 + -10. Solve 2*g - 6 = n*g for g. -3 Let k = -15 + 10. Let j = 37 - 22. Let p = j + k. Solve -4*y - y = -p for y. 2 Suppose 5*b = z - 13, -5*z - 3*b - b + 7 = 0. Let q = 7 + 3. Solve z*i + 1 = q for i. 3 Let f = 8 + -4. Let x be (f - 4)/(0 - 1). Solve 2*a + 0*a + 2 = x for a. -1 Let f = 2 + -2. Let j = 6 + -16. Let a = -7 - j. Solve f*l - 3 = -a*l for l. 1 Let t be 188/(-36) + (-4)/(-18). Let q = t + 3. Let w be -3 - q - (-4)/2. Solve b = 4 + w for b. 5 Suppose -5*m = -1 - 19. Suppose 0 = -m*q + n - 13, -2*n - 3*n - 15 = 0. Let r = -2 - q. Solve 4 = r*i - 6 for i. 5 Let v(n) be the first derivative of -9*n**2/2 + 5*n + 1. Let d(a) = -a**2 - 10*a + 5. Let y(k) = -2*d(k) + 3*v(k). Let z be y(4). Solve z*l = 4*l for l. 0 Let k(v) = v**3 + v. Suppose 4*r = -5*d + 3*r + 1, 3*r + 12 = 0. Let p be k(d). Let x = -4 - -8. Solve 0*h = p*h + x for h.
{ "pile_set_name": "DM Mathematics" }
245 - 38). 3 (5/(-10)*-4)/((-82)/(-533)) 13 Calculate (-3918)/(-15672) + 3/4*(-43)/(-3). 11 ((-12)/(-7))/(2556/(-630) - -4) -30 Evaluate (-16 - 142/(-10))/(9/(-60)). 12 What is 552/(-42) - -6*52/273? -12 (36/(-15))/3 + (-59280)/(-26600) 10/7 What is the value of 244/18605*110/(-44)? -2/61 Calculate 452/270 + (-1400)/525*(-2)/(-72). 8/5 -11 + 15 - ((-12747)/(-3444) - (-1)/4) 2/41 Evaluate 132/(-330) + (-152)/(-330) - (-122)/(-924). -1/14 (-2)/(28/((-1764)/105) + 0 + 1) 3 What is the value of ((-45)/(-2))/9*36/15? 6 Evaluate (21 - (-12 - -29)) + 80/(-42) + -2. 2/21 Evaluate ((-3)/(-9))/(8/(-336)). -14 What is the value of 9 + 0/3 - 5502/655? 3/5 What is the value of (-1 - 3)*7/6*(-1)/28? 1/6 Evaluate (18/(-63) - (-20)/(-28))*6/(-138). 1/23 What is the value of ((-12)/(-18))/(270/15 + -7)? 2/33 What is (1 - 2/4) + 13*27/(-117)? -5/2 What is ((-30)/(-81))/((-142)/4047) + 10? -5/9 Evaluate 45/(-774)*(-428)/535. 2/43 ((12 - 18) + 9)*6 18 -12 + -2 + 670/50 -3/5 Evaluate 70/(-12) + 623/42 + -15 - -6. 0 Calculate 1*-2 - (2/5)/(82/(-1025)). 3 Evaluate (-2001)/1610 - ((-3)/30)/1. -8/7 What is the value of 5 - (4 + -1) - (42 + -39)? -1 What is the value of 41/99 - (-4 + 164/(-36) + 9)? -1/33 Evaluate 40/28 + (-48)/14 - -8. 6 (-252)/273*(-4)/12 4/13 ((-10)/(-4))/((50925/(-240))/(-97)) 8/7 What is the value of 16/70*406/116? 4/5 Calculate (2/(-55))/(((-117)/(-130))/(-9)). 4/11 Evaluate ((-102)/(-96)*-4)/(5/20). -17 Evaluate 828/(-115)*-3 - 20. 8/5 3804/(-180) + 10 + 11 -2/15 (14 - 7371/504)*24/(-27) 5/9 What is ((-12)/(-24))/((-553)/140 + 4)? 10 (-2 - 12) + (3 - (-23 + 35)) -23 Calculate 12 - ((-2148)/308 - -19). -2/77 What is 42/(-3) - 1670/(-120)? -1/12 Evaluate (-10)/12 + ((-603)/(-132))/(18/4). 2/11 Calculate (1 - -4)/(35/70) - 0. 10 Evaluate (-45)/(-6)*(2626/(-195) - -18). 34 (2 + 72/(-40))/((-5)/10) -2/5 1 - ((-34)/(-68))/(2/(-4)) 2 Calculate 21/((-69)/1196*-26). 14 Evaluate (-1500)/(-45) + (-274)/(-411). 34 What is the value of (116/(-4060))/(-1 + 9/6)? -2/35 42000/7125 + (-2)/(-19) 6 (-4)/(-28) - -6*(-4)/(-224) 1/4 What is the value of (54/21 + -2)*(6 - (-152)/(-16))? -2 Evaluate ((4240/75)/8 + -7)/((-3)/(-6)). 2/15 Evaluate 15/10 + 1386/(-748). -6/17 What is the value of 143/(-13) + (46904/5535 - (-4)/(-54))? -13/5 What is the value of (-20)/12 + (-62)/6? -12 Calculate -22*(-17)/374*1/(-7). -1/7 (((-1440)/100)/(-9))/((-4)/(-15)) 6 138 + -137 + 3*12/(-15) -7/5 What is (-248)/26 - (16036/494 - 32)? -10 ((-13797)/10731)/(1/(-21)) 27 Calculate ((-3 + -45)/(-8))/(12 - 9). 2 Calculate (-222)/(-11) + -20 + 196/44 - 5. -4/11 What is (-1*6)/(130/(-26) + 12)? -6/7 Evaluate (295/413)/((-10)/(-84)). 6 Calculate (-8)/(-32) - 2736/192. -14 Evaluate (-2)/12*((-1402)/106 + 13). 2/53 Evaluate 11*(-11)/(-605) + (-7 + 4)/15. 0 (3944/(-88) - -44)*4/(-6) 6/11 Calculate (-8)/((-144)/10) + -1*(-2)/(-6). 2/9 What is the value of ((-74)/259)/(1/(-21)) + (-30)/3? -4 Evaluate 62 + (-17279)/259 + (-2)/7. -5 Calculate (-24)/(-40) + 352/30 + 36/54. 13 Evaluate 3/93 - 2380/(-7905). 1/3 Calculate (1 - -2)*(-5)/(2 + -12)*6. 9 (-8)/22 - (-962)/6006*-12 -16/7 Evaluate ((-952)/(-4998))/(590/105). 2/59 Calculate ((-4)/(-8))/((-330)/(-360)). 6/11 Evaluate ((-20)/(2400/(-108)))/(6/5). 3/4 Calculate (-370)/10*(-3 - (-4 + (6 - 4))). 37 What is the value of -4 - (20 + -15 + 13)? -22 Evaluate ((-75)/120*(-4)/5)/(9/(-2)). -1/9 Calculate 9/(3 - ((-8)/14 + 3872/896)). -12 Evaluate 6*3/207 + 5320/(-874). -6 4 - (-40 + 44 - (-6)/21) -2/7 What is the value of ((-1094)/138 - (-10)/15) + 1193 + -1186? -6/23 Calculate 4200/(-7917) - (-24)/52. -2/29 -4*6*(3 + -4 - 16/(-64)) 18 532/385 - (-102)/(-85) 2/11 What is (-45)/300*-16*11/99? 4/15 What is the value of 2705/(-1623)*((-72)/5 - 0)? 24 Calculate (-20)/210*1*(-21)/6. 1/3 What is (-4)/(-54)*-165 + 12? -2/9 What is (-8)/15*145/(-58)? 4/3 What is the value of ((-28)/(-80))/(259/111)? 3/20 What is 210870/(-8165) + 8/(-46)? -26 Evaluate ((-1)/7)/(73/(-730))*(-1)/(-15). 2/21 Calculate (-49)/8 - 78/(-52)*(-1)/(-12). -6 What is the value of 766/(-110) + 203/(-145)*-5? 2/55 Evaluate 318/672 + (-267)/1424. 2/7 Calculate (5/105)/(71/(-426)). -2/7 What is 112/32*-5*(-12)/270*9? 7 Calculate 12*8/48 - (4 + -8). 6 Evaluate (25 - 959/35)/((-6)/80). 32 Calculate 2445/(-1620)*-8 - 8/108. 12 What is the value of ((-86)/14 + 6)/(3 + (-30)/9)? 3/7 Evaluate ((-3)/(-45))/(((-1)/6)/(29/58)). -1/5 What is (-182)/2184*(-52)/2? 13/6 What is the value of (0*(-2)/4)/(10 + (29 - 38))? 0 What is 0 - (-8)/1 - 520/70? 4/7 Evaluate ((-35653)/505 - -57)*10/4. -34 (-7 - (-194)/28) + 26/28 6/7 ((-370)/20 - -18)/(-3 - 13/(-4)) -2 (4/15)/((-621)/90 + 7) 8/3 Evaluate (-7)/((-42)/(-4)) + (-25 - -25). -2/3 Evaluate 41/(-1 - -247) - -1*37/(-150). -2/25 What is 112/22 + 1 - (-6)/(-10)*10? 1/11 Evaluate (8/10)/(202 + -194 + 236/(-30)). 6 What is the value of 8/((19/(-38))/(-3 - -2))? 16 What is the value of (3/(-252)*18)/(9/(-24))? 4/7 What is the value of (-12)/(-2) - (-5)/5 - 11? -4 Calculate 2730/195 + (-312)/22. -2/11 Evaluate 270/(-17) - 9600/(-600). 2/17 Calculate -4 + (126/6 - 9). 8 Evaluate 4/(-6)*47/8554*39. -1/7 ((-70 - -37) + 34)*-7 -7 Evaluate 6/(-18)*(-18)/2 - (-3657)/(-1113). -2/7 Calculate 2*(27*11/(-66) - -2). -5 (16/112)/(130/140) 2/13 What is the value of 24/7*221/(-884)? -6/7 (-7 + (-744)/(-112))/(225/180) -2/7 (-103)/5 + (-330)/(-550) -20 Evaluate ((-4)/(-42))/(7 + 336/(-49)). 2/3 -1 + (-2156)/(-84) + -22 8/3 770/539 - 6/(-84) 3/2 What is the value of 1 + -8 - (-3 + 3)? -7 Evaluate (-12)/(-147)*(-3738)/(-8544). 1/28 Evaluate ((-1)/(-3) - -1)/((-110)/1815). -22 (12/(-11) - -1)*(-144 - -147) -3/11 What is (-3306)/(-513) - 6 - ((-158)/252 - -1)? 1/14 Evaluate 169/429*11*3. 13 -4*(-26)/174 + (-316)/474 -2/29 What is (-6)/(-3) - 5*(-116)/(-20)? -27 Calculate 237/(-39) - (93 + -99). -1/13 What is -95 - -80 - (-1 - (-9)/(-3))? -11 Evaluate ((-45)/4)/5 + (110 - 108). -1/4 What is (-2 + 12 - -9) + -13? 6 What is the value of (5 + -4)/(26/234)? 9 -1*(2/15)/(96/(-432)) 3/5 Evaluate 528/(-330)*(45/(-12))/3. 2 What is the value of 2/(-10) - (27 + (-2326)/80)? 15/8 What is ((-3)/(-6))/(7/(-28) + (-6)/(-16))? 4 Calculate ((-1215)/(-1134))/((-5)/(-6)). 9/7 What is the value of (8/(-20) - 74/(-111))/((-4)/(-87))? 29/5 8 + ((-270)/40 - 0/(-2)) 5/4 What is the value of (72/40)/((-66)/20)? -6/11 What is the value of (-50)/(-825)*((-9)/(-5))/3? 2/55 Calculate (-4 - (18 - 16))/(-6). 1 Calculate ((-231)/110)/(24/(-20)). 7/4 Evaluate (148/333)/(2/9). 2 Evaluate (2/6)/(108/243). 3/4 (-8385)/516 + (-17)/(-4) -12 Evaluate (7 + -3)*189/84. 9 What is the value of (70 - 52)/(-9) - (-2 + -4)? 4 Evaluate (-20)/(-26) - (-60885)/(-3861). -15 40*1*168/(-672) -10 (-2432)/(-57)*24/32 32 What is the value of (30/8)/(4/(64/72))? 5/6 What is ((3/15)/((-4)/12))/(3/2)? -2/5 40/(-28) - -11 - (-9)/42*2 10 Calculate ((-30)/50)/((-1)/(30/3)). 6 What is (1*2)/((6 + 300/(-40))/6)? -8 What is (11/(-3) + 2)/((-34)/11322*-111)? -5 Calculate -5*(29391/(-13095) + 5/(-9) + 1). 9 ((-5)/3)/(10345/(-37242)) 6 What is the value of (25 - (-1816)/(-32)) + 32? 1/4 Evaluate 1*(-44)/8 + (-8)/(-16). -5 Evaluate (-9 - 276)/(-15) + 0 + -3. 16 Evaluate 10 - -2*548/(-112). 3/14 11 + -11 + (-28)/(-7) 4 (7 + (-192)/28)/(3/483) 23 Evaluate (1344/(-63))/8 + 106/6. 15 Calculate 3*9/((-243)/(-126)). 14 1539/(-135)*10/12 -19/2 What is (48/(-420))/(2/(-14)) - (-86)/(-95)? -2/19 Evaluate (46/(-21) + (-480)/420)*(-9)/5. 6 What is -117 - -108 - ((-369)/42)/1? -3/14 What is the value of -17 - 336/(-18) - (1 - (-52)/6)? -8 Calculate ((-1122)/6545)/((-3)/(-14)). -4/5 What is (6/(-18)*2)/(4 + 704/(-180))? -15/2 Calculate (-574)/63 + 3/9 + (-20)/90. -9 Calculate (48/27)/(5*(-28)/420). -16/3 Evaluate (-6 + 9)/9 + (-3)/((-90)/380). 13 Evaluate 1428/98 + 18/(-7) - 18/(-2). 21 What is ((-4)/(-34))/1 - 34775/1819 - -7? -12 (-30 - -2)*(52022/(-1368) - -38) 7/9 What is 1 + -84 + (80 - 35)? -38 954/342 + (-10)/(-5) - 1*5 -4/19 Evaluate 16 + 7/(-1) - (-80)/(-10). 1 Calculate ((-560)/(-42) - 8)/(12/(-54)). -24 What is the value of 108*((-198)/(-120) - (-14)/(-10))? 27 2/3*300/360 5/9 Evaluate 3/(-1) - (5121/171 + -33). 1/19 Evaluate ((-2096)/(-15196))/(14/29). 2/7 (-22)/(-1)*(-28 - -35 - 8) -22 Calculate ((-6)/21)/(1*152/(-133)). 1/4 (-45)/20*(9 - 5) -9 (-3 -
{ "pile_set_name": "DM Mathematics" }
9*m**2 + 136*m*o**4 wrt o? -27*m**2*o**2 + 544*m*o**3 What is the second derivative of -16*a**5 + 136*a**2 - 1349*a? -320*a**3 + 272 What is the third derivative of -3*d*w*z**4 - d*w*z**3 - 53*d*w*z**2 - 3*d*w - 27*w*z**4 - 2*w*z**2 - 2 wrt z? -72*d*w*z - 6*d*w - 648*w*z Differentiate 2*f**3 + 5751*f + 9734 wrt f. 6*f**2 + 5751 What is the second derivative of 22*o**4 + 34*o**3*w**2 - 60*o*w + 5*w**2 wrt o? 264*o**2 + 204*o*w**2 Find the third derivative of -465*f*i**3 - 89*f*i**2 - f wrt i. -2790*f Differentiate 165*m**4 + 28 wrt m. 660*m**3 Find the third derivative of 3*c**2*r**3 + 10073*c**2*r - c*r**2 - 3507*r**4 wrt r. 18*c**2 - 84168*r What is the derivative of -4*b**2*x + 2687*b**2 + 4*x**4 + 11*x**3 + 2 wrt x? -4*b**2 + 16*x**3 + 33*x**2 What is the second derivative of -105*h**5 - h**3 - 12*h**2 + 1895*h - 2 wrt h? -2100*h**3 - 6*h - 24 Find the second derivative of 2*k**4 - 5*k**3*l - 2*k**2 + 2*k*l + 3*l wrt k. 24*k**2 - 30*k*l - 4 Find the second derivative of -215*k**5 - 2*k + 190. -4300*k**3 Find the third derivative of -2096*m**6 - 38*m**2 + 22*m wrt m. -251520*m**3 What is the second derivative of -747*m**3 - 33*m + 4 wrt m? -4482*m What is the second derivative of -21205*z**5 - 13114*z wrt z? -424100*z**3 Differentiate 34*d**3*o**3 - 3*d**3*o**2 + 300*d**3 + 2*o with respect to o. 102*d**3*o**2 - 6*d**3*o + 2 Differentiate -646*d*f**2 - 2*d*f - 872*d with respect to f. -1292*d*f - 2*d What is the third derivative of -190*p**4 - 6*p**3 - 2179*p**2 wrt p? -4560*p - 36 Find the first derivative of -5*x**3 + 13*x**2 + 7*x - 1213. -15*x**2 + 26*x + 7 Find the third derivative of -211*l**3 - l**2 - 179*l. -1266 What is the second derivative of -6*f**2*z**2 - 7*f**2*z - 5*f*z**2 - 33*f*z + 8*z**2 + 2*z - 2 wrt z? -12*f**2 - 10*f + 16 What is the second derivative of 3013*o**5 + 68*o + 14? 60260*o**3 Differentiate 2316*z**3 - 1779. 6948*z**2 What is the second derivative of j**3*k - 4*j**2*k*n - 37*j**2*n**2 - 51*j*k*n + j*n + n**2 wrt j? 6*j*k - 8*k*n - 74*n**2 Find the third derivative of 3847*b**3 - 232*b**2 - 34*b. 23082 Find the third derivative of 25*l**5 - 2*l**4 - 15*l**3 + l**2 + 810 wrt l. 1500*l**2 - 48*l - 90 Find the third derivative of 128*a*r**4 - 333*a*r + 32*r**4 + 2*r**2 - 13 wrt r. 3072*a*r + 768*r What is the derivative of 65*w**4 - 2*w**2 - 4*w*y - 2*w - 13790*y wrt w? 260*w**3 - 4*w - 4*y - 2 What is the first derivative of 844*k*y + 16964*k + 2*y wrt y? 844*k + 2 Find the first derivative of -9*f*g*n**3 + 133*f*g*n**2 - 2*f*n**3 + 2241*f*n**2 + n**3 wrt g. -9*f*n**3 + 133*f*n**2 Find the second derivative of 4*j*r**3 + j*r**2 - 3*j - 2*r**3 + r + 84 wrt r. 24*j*r + 2*j - 12*r What is the second derivative of -14265*l**2 + 7696*l wrt l? -28530 What is the second derivative of -71*d**2 + 327*d wrt d? -142 Find the third derivative of 186*b**3*f**3 + 3*b**3*f**2 - 3*b*f + 2*f**2 wrt f. 1116*b**3 Find the third derivative of 14*h*p**4 + 2*h*p**3 - 2*h*p**2 + 55*h*p wrt p. 336*h*p + 12*h Find the third derivative of 2463*a**3 - 6366*a**2 - 2 wrt a. 14778 Find the third derivative of 317*h**5 - 113*h**2 wrt h. 19020*h**2 Find the first derivative of 108*n**3*y + 2*n**3 + 7*y - 79 wrt n. 324*n**2*y + 6*n**2 Find the third derivative of 10074*v**4 + 124*v**2 + 2*v + 3 wrt v. 241776*v Find the second derivative of 448*r**2 - 104*r. 896 Find the first derivative of 2057*q + 2954. 2057 Differentiate -199*c**2*x - 46*c**2 - 16*c*x - c wrt x. -199*c**2 - 16*c Find the second derivative of -468*h**5 + 20*h - 5 wrt h. -9360*h**3 What is the second derivative of -973*t**4 - 2*t - 566 wrt t? -11676*t**2 What is the second derivative of 28*j*p**2 - 7*j*p + 94*p wrt p? 56*j Differentiate -2*g*m**2 + 38*g*m + 21*g + 59*m**2 - 5*m - 2 with respect to g. -2*m**2 + 38*m + 21 Find the second derivative of 7455*f**2*s**3 + 9*f*s - s**3 + 4*s**2 - 3*s wrt f. 14910*s**3 Find the second derivative of 8836*i**2*n**2 + 214*i**2 - 18*i*n wrt n. 17672*i**2 What is the derivative of 405*b**2*c*x**2 + b**2*x**2 + 7*b**2 + 4*b*x**2 - 5*x wrt c? 405*b**2*x**2 What is the first derivative of 229*a**3 - 2*a - 892? 687*a**2 - 2 What is the third derivative of -1981*h**6*x + 2*h**2 - 144*h*x - h wrt h? -237720*h**3*x Find the second derivative of 687*g**2 + 258*g wrt g. 1374 Find the third derivative of -2*c**3*j*q**2 - 8*c**3*j - 4*c**3*q + 3*c**2*j*q**2 + 2*c**2*j + 3*c*q**2 wrt c. -12*j*q**2 - 48*j - 24*q What is the second derivative of 119*v**3 - 2*v**2 - 97*v? 714*v - 4 Find the third derivative of -45*g**2*j**3 + 30*g**2*j**2 - g**2*j + g*j**6 + 3*g + 2*j**3 wrt j. -270*g**2 + 120*g*j**3 + 12 Find the second derivative of 5*a**3*k**2*w - 6*a**3*k**2 - 11*a**3*k*w - 2*a**3*w + 7*a**3 + 13*a*k**2*w wrt k. 10*a**3*w - 12*a**3 + 26*a*w Differentiate 652*y + 3630 with respect to y. 652 Find the third derivative of 266*b**4*y**2 + 3*b**4*y - 2*b**3 + 29*b**2 + b*y**2 + 2*y**2 + 1 wrt b. 6384*b*y**2 + 72*b*y - 12 What is the derivative of -204*r**4 + 3707? -816*r**3 Find the third derivative of 38*c*i*p*y**3 + 5*c*p**2*y**2 - 3*c + 2*i*p**2*y**3 - i*p**2*y**2 - 2*i*p*y**3 + y**2 wrt y. 228*c*i*p + 12*i*p**2 - 12*i*p What is the first derivative of 12*t**2*x - 4842*t**2 + 3*t*x + 10*x wrt x? 12*t**2 + 3*t + 10 Find the third derivative of -q*t**3 - q*t**2 - 233*q*t + 1767*t**4 + 3*t wrt t. -6*q + 42408*t Differentiate -24*u**4 - 7*u**3 + 132 with respect to u. -96*u**3 - 21*u**2 What is the derivative of -x**3*y**2 + 5846*x**3 - 76*x*y - 2*y**3 wrt y? -2*x**3*y - 76*x - 6*y**2 Find the third derivative of 3107*k**4 + 2565*k**2. 74568*k What is the third derivative of l**4 + 7*l**3 + 109*l**2 - 2*l? 24*l + 42 Find the third derivative of 21*d**6 + 56*d**2 + 2*d wrt d. 2520*d**3 What is the derivative of -61*c**4*f - c**2 + 8*f - 19 wrt c? -244*c**3*f - 2*c What is the third derivative of 196*r**3 + 46*r**2? 1176 Differentiate -5*a**3*m**4 - 9*a**3*m**2 - a**3 + 6 wrt m. -20*a**3*m**3 - 18*a**3*m Differentiate 2*g**3*j**2 + 6*g**3 - 332*g**2*j**3 + 256*g + 2*j**2 + 1 with respect to j. 4*g**3*j - 996*g**2*j**2 + 4*j What is the first derivative of -3*a**4 + 310*a**3 + a + 4635? -12*a**3 + 930*a**2 + 1 Differentiate 13*r*s**2*z + r*s**2 - r*s - 50*r + 2*z with respect to s. 26*r*s*z + 2*r*s - r What is the derivative of -1993*g - 3248? -1993 Find the second derivative of -54*v**5 - 102*v + 2 wrt v. -1080*v**3 What is the derivative of 65*v - 50? 65 Find the first derivative of -6*q*z**3 - 1257*q*z - 18937*z**3 wrt q. -6*z**3 - 1257*z What is the derivative of -24*f**4 + 33*f**3 + 6688? -96*f**3 + 99*f**2 What is the second derivative of -50*k**2 - 262*k? -100 Find the second derivative of -2332*k**3 + 315*k. -13992*k What is the first derivative of -37*i**3 + 14? -111*i**2 What is the second derivative of 6786*s**3*w**2 + 31*s**3 + w wrt w? 13572*s**3 What is the first derivative of -1518*x**2 - 2*x - 5718? -3036*x - 2 What is the first derivative of 300*j**3*k + 2*j**3 - 3*j - 520*k wrt j? 900*j**2*k + 6*j**2 - 3 What is the first derivative of -3478*k + 1930? -3478 Find the second derivative of -2*a*d*s**2 - 2*a*d*s - 2*a*d + 10*a*s**2 + 7*a*s + 7*d*s**2 + d + 2*s wrt s. -4*a*d + 20*a + 14*d Differentiate -141*l**2 + 295 wrt l. -282*l What is the third derivative of 11*g**5 + 6*g**4 + 3*g**3 + 4*g**2 + 34*g wrt g? 660*g**2 + 144*g + 18 Differentiate 1309*x - 14543 with respect to x. 1309 Find the second derivative of -123*x**4 - 140*x. -1476*x**2 What is the third derivative of 119*c**5 + 5*c**4 - 672*c**2? 7140*c**2 + 120*c What is the first derivative of -2*t**2*u - 140*t**2 + 5*t*u**3 - 1532*u**3 wrt t? -4*t*u - 280*t + 5*u**3 What is the first derivative of -2*p**4 + 3386*p - 3580 wrt p? -8*p**3 + 3386 Find the third derivative of 2*x**4 - 1272*x**3 + 3488*x**2. 48*x - 7632 What is the third derivative of -644*j**3*t - 3472*j**2*t + j**2 wrt j? -3864*t Find the third derivative of -31*t**5 - 4*t**3 - 13*t**2 - 3*t wrt t. -1860*t**2 - 24 What is the third derivative of 2*b**6 - 88*b**3 + 115*b**2 - 1 wrt b? 240*b**3 - 528 Find the second derivative of -29*a**4 - a**3 - a + 11 wrt a. -348*a**2 - 6*a Find the first derivative of 37*c**4 + 2*c**2*f + c*f + 17*f wrt c. 148*c**3 + 4*c*f + f What is the second derivative of -2*k**4 + 2*k**3 + 736*k**
{ "pile_set_name": "DM Mathematics" }
denominator of 187/3276 and 58/189? 9828 Calculate the common denominator of -79/168 and 55/3087. 24696 Calculate the common denominator of -25/18 and -7/12. 36 What is the common denominator of 49/247 and 47/533? 10127 Find the common denominator of 91/496 and -17/10. 2480 Calculate the smallest common multiple of 424 and 1643. 13144 What is the smallest common multiple of 21 and 15? 105 Calculate the lowest common multiple of 12 and 60. 60 What is the common denominator of -92/231 and -173/756? 8316 Calculate the lowest common multiple of 10 and 615. 1230 Calculate the least common multiple of 186 and 15. 930 What is the common denominator of 59/60 and -13/840? 840 What is the least common multiple of 84 and 84? 84 Find the common denominator of 43/270 and 88/45. 270 What is the smallest common multiple of 88 and 246? 10824 What is the common denominator of 25/4576 and 53/52? 4576 Find the common denominator of 25/139 and 53/6. 834 What is the common denominator of -121/230 and 17/14? 1610 Calculate the smallest common multiple of 121 and 44. 484 Calculate the least common multiple of 140 and 176. 6160 What is the common denominator of 51/10 and 26/3? 30 Calculate the lowest common multiple of 830 and 415. 830 Calculate the least common multiple of 1687 and 2651. 18557 Calculate the smallest common multiple of 1661 and 132. 19932 Calculate the least common multiple of 1 and 513. 513 Calculate the common denominator of -101/552 and -17/736. 2208 Calculate the common denominator of 49/64 and -11/20. 320 Calculate the common denominator of 5/44 and 85/4. 44 Calculate the least common multiple of 15 and 714. 3570 What is the smallest common multiple of 16992 and 30? 84960 Calculate the common denominator of -143/372 and -34/21. 2604 Calculate the smallest common multiple of 260 and 340. 4420 Find the common denominator of 50/2771 and 101/170. 27710 What is the lowest common multiple of 104 and 24? 312 What is the common denominator of 19/414 and 83/20? 4140 What is the smallest common multiple of 9 and 201? 603 What is the common denominator of 41/9 and 71/654? 1962 Find the common denominator of 79/930 and -36/325. 60450 Calculate the smallest common multiple of 32 and 14. 224 Calculate the common denominator of 49/64 and 37/608. 1216 Find the common denominator of -71/88 and 57/4. 88 Calculate the common denominator of 21/116 and 97/8352. 8352 What is the smallest common multiple of 134 and 58? 3886 Calculate the smallest common multiple of 156 and 18. 468 What is the lowest common multiple of 280 and 1000? 7000 Calculate the common denominator of -3/95 and 43/20. 380 What is the lowest common multiple of 56 and 70? 280 Calculate the lowest common multiple of 171 and 11. 1881 Calculate the smallest common multiple of 322 and 6. 966 What is the lowest common multiple of 6 and 51? 102 Calculate the least common multiple of 635 and 25. 3175 Calculate the lowest common multiple of 220 and 12. 660 What is the smallest common multiple of 370 and 1850? 1850 What is the common denominator of 47/2118 and -47? 2118 Find the common denominator of 93/2 and 23/466. 466 What is the lowest common multiple of 13 and 64? 832 Find the common denominator of 55/52 and 13/4. 52 What is the lowest common multiple of 1793 and 1? 1793 Calculate the smallest common multiple of 396 and 90. 1980 Find the common denominator of 27/496 and -11/56. 3472 Find the common denominator of -74/219 and 11/15. 1095 What is the least common multiple of 198 and 220? 1980 Calculate the common denominator of -83/120 and 11/684. 6840 What is the common denominator of 89/8 and -85/76? 152 What is the smallest common multiple of 438 and 36? 2628 What is the common denominator of 73/170 and 3/185? 6290 Calculate the lowest common multiple of 156 and 12. 156 What is the least common multiple of 800 and 320? 1600 What is the lowest common multiple of 29 and 10? 290 Calculate the smallest common multiple of 774 and 12. 1548 Calculate the common denominator of -9/185 and -33/370. 370 Find the common denominator of 32/743 and -67/10. 7430 What is the smallest common multiple of 18 and 162? 162 Calculate the lowest common multiple of 1007 and 212. 4028 What is the least common multiple of 1104 and 92? 1104 What is the least common multiple of 533 and 123? 1599 What is the smallest common multiple of 275 and 11? 275 Calculate the common denominator of -19/322 and -3/56. 1288 What is the lowest common multiple of 548 and 4? 548 What is the least common multiple of 591 and 27? 5319 What is the least common multiple of 45 and 36? 180 Calculate the common denominator of 15 and 19/42. 42 What is the smallest common multiple of 288 and 144? 288 What is the least common multiple of 171 and 12? 684 Find the common denominator of 35 and 37/517. 517 What is the common denominator of -113/50 and -31/920? 4600 What is the smallest common multiple of 16 and 356? 1424 Calculate the common denominator of 8/77 and 57/5. 385 Calculate the common denominator of 8/39 and 46/91. 273 What is the common denominator of -79/45 and 47/1900? 17100 What is the least common multiple of 18 and 2? 18 Find the common denominator of 5/399 and -2/21. 399 What is the common denominator of -29/9 and -10/99? 99 Calculate the common denominator of 23/33 and -89/216. 2376 What is the least common multiple of 976 and 16? 976 What is the common denominator of -79/4890 and -65/6? 4890 Calculate the smallest common multiple of 28 and 63. 252 What is the common denominator of 31/1686 and 71/27? 15174 Calculate the common denominator of -12/7 and -77/1822. 12754 Calculate the common denominator of 33/70 and -17/35. 70 What is the common denominator of 71/5866 and 53/838? 5866 Calculate the lowest common multiple of 2967 and 4. 11868 Find the common denominator of 3/7099 and -8/1603. 49693 Calculate the common denominator of 34/27 and -11/2658. 23922 Find the common denominator of 31/54 and -7/99. 594 Calculate the least common multiple of 12510 and 30. 12510 What is the smallest common multiple of 38 and 12? 228 Find the common denominator of 79/80 and -71/144. 720 What is the least common multiple of 12 and 436? 1308 Calculate the common denominator of 23/294 and 169/42. 294 Calculate the least common multiple of 24 and 1656. 1656 What is the smallest common multiple of 168 and 8? 168 What is the common denominator of 11/94 and 21/1504? 1504 Calculate the least common multiple of 5 and 558. 2790 Calculate the common denominator of 187/90 and 61/270. 270 Calculate the common denominator of -95/16 and -29/66. 528 Calculate the common denominator of 133/24 and 23/4576. 13728 What is the smallest common multiple of 52 and 32? 416 What is the common denominator of 8/3219 and -22/21? 22533 Calculate the lowest common multiple of 24 and 144. 144 Calculate the common denominator of -103/12 and 45/6238. 37428 Calculate the common denominator of -6/6377 and 41/10021. 70147 Calculate the least common multiple of 12 and 30. 60 What is the smallest common multiple of 13988 and 7532? 97916 What is the common denominator of 163/156 and -41/8? 312 Calculate the lowest common multiple of 427 and 2. 854 What is the smallest common multiple of 544 and 544? 544 Calculate the common denominator of -119/10 and -45/1253. 12530 What is the common denominator of -13/300 and -123/10? 300 Calculate the common denominator of -43/328 and 5/6314. 25256 What is the common denominator of 101/1400 and 23/40? 1400 What is the lowest common multiple of 4 and 562? 1124 What is the common denominator of 12/95 and -25/2546? 12730 Calculate the smallest common multiple of 12 and 4068. 4068 Find the common denominator of -19/32 and 31/16. 32 What is the common denominator of -131/558 and -20/117? 7254 Calculate the common denominator of -35/326 and 91/4. 652 Calculate the least common multiple of 40 and 220. 440 Calculate the least common multiple of 15 and 996. 4980 Calculate the common denominator of 19/3275 and -69/524. 13100 Find the common denominator of -113/120 and -57/10. 120 Calculate the lowest common multiple of 10 and 52. 260 What is the least common multiple of 832 and 520? 4160 What is the common denominator of 65/16 and -69/3494? 27952 Calculate the least co
{ "pile_set_name": "DM Mathematics" }
Suppose -v - 4*v + 15 = d. Let r(c) = -c**2 + 8*c + 9. Let m be r(9). Solve v*g - 15 + 3 = m for g. 4 Let z be (172/(-8))/((-2)/4). Let y be 1/(-3) - z/(-3). Let h be (y/(-21))/((-2)/3). Solve 3 = 2*f - h for f. 2 Let z(u) = u**2 - 12*u - 16. Let l be z(14). Solve -g = -4*g + l for g. 4 Suppose -2*l - 1 = -9. Suppose l*b = 3*b. Solve 3*f + 3 + 3 = b for f. -2 Suppose 3 = 3*i - 15. Suppose -10 = -4*v + i. Solve v = -4*y - 12 for y. -4 Let s = -3 - -6. Let y(d) be the third derivative of -d**4/24 + 3*d**2. Let p be y(-7). Solve s*r = p*r - 16 for r. 4 Let g = 106 - 101. Solve 0 = g*u - 19 - 1 for u. 4 Let t = 6 - 9. Let u be (-2)/t*3 - 0. Let n be ((-3)/6 - (-3 + 2))*10. Solve -u*d = -n*d + 9 for d. 3 Let y = 13 - 6. Let n(c) = c - 2. Let a be n(2). Let z = a - 0. Solve z = 3*m + y + 2 for m. -3 Let q(m) be the third derivative of -m**4/4 - m**3/6 - 4*m**2. Let y be q(-1). Let t be -3 + 1 + 2 + 0. Solve t*n + 10 = -y*n for n. -2 Let h(g) be the first derivative of -g**2/2 - 5*g + 2. Let f be h(-6). Let i be 0*(3 - 2/f). Solve -v - 4*v + 20 = i for v. 4 Let u = -11 + 12. Suppose 0 = -0*r - r + u. Solve -m + r - 2 = 0 for m. -1 Let q be -2 - (-1)/1 - -13. Solve c - q = 5*c for c. -3 Let s = 11 + -9. Solve s - 1 = -p for p. -1 Let z(o) = o**3 + 5*o**2 - 6*o + 8. Let u be z(-6). Let l = -6 + u. Suppose -5*k + 3 = -7. Solve 8 + k = -l*y for y. -5 Let o(m) = 4*m + 1. Let v be o(2). Let q be (-1)/(-1) + v + -2. Solve -b - 3*b = q for b. -2 Let m be (-6)/33 - (-70)/22. Suppose -2*s - 5*x - m = 16, 4*s - 3*x - 27 = 0. Suppose -2*g + 18 = 5*c, 5*c - s*g + 0*g - 23 = 0. Solve c*t = 2*t - 10 for t. -5 Suppose -13 - 7 = -10*l. Let b = 5 + -3. Solve -l*s + b = -s for s. 2 Let y be 10/(-25) - 22/(-5). Solve -i + 5*i = -y for i. -1 Let p = 77 - 69. Solve 5*c - p = 12 for c. 4 Suppose -2*l + 14 = 5*s, 0 = s + s - 2*l. Let v be 13/3 + (-4)/(-6). Suppose -v*u + 8 = -3*u. Solve -w = -s*w - u for w. -4 Let b be -1 - (2 + 0 + -5). Suppose 3*p = 4*a + 27, -4*p + a + 10 + 13 = 0. Let f(x) = x**2 + x - 8. Let k be f(-4). Solve k*g = p*g + b for g. -2 Let l = 5 - 8. Suppose -5*j - 20 = 0, -3*s = -3*j - 0*j - 21. Let g = s + l. Solve -m + 1 = -g for m. 1 Let x be 0*(-4)/(-12 + 4). Suppose 5*o - 50 = -x*l + 5*l, -o = 2*l + 5. Solve 1 = -z + o for z. 4 Suppose -2*s = -6*s. Suppose -2*r = 4*v - 24, -11 = 2*r + 3*v - 6*v. Solve 0 = y + r - s for y. -2 Suppose 14*o - 15 = 9*o. Solve 0 = o*d - 6*d for d. 0 Let i = 25 - 23. Solve 0 = c - i*c for c. 0 Let v(x) = -x**2 + 4*x + 8. Let h be v(5). Suppose 2*b + 18 = 5*b. Let k = b - h. Solve -7 - 5 = k*i for i. -4 Let r(o) = -o + 14. Let k be r(13). Let g be 4/(2*k/1). Solve 0 = g*u - 7*u - 5 for u. -1 Suppose g - 5 = -4*n + 8, 3*n = -4*g + 13. Solve n*r + r = -16 for r. -4 Let p = 8 - 17. Let y = p - -14. Solve -1 = -2*f + y for f. 3 Let w = -107 - -113. Solve 5*s + w = 2*s for s. -2 Let j = 5 + -5. Let c be (-1 - 0)/((-1)/7). Suppose 5*b - c = 3. Solve b*d = -j*d for d. 0 Let c(n) be the third derivative of n**5/60 + n**4/8 + n**3/2 + 4*n**2. Let z be c(-3). Solve -z*k = 2*k - 10 for k. 2 Suppose -i = -10 + 8. Solve 5*a = i*a for a. 0 Let a(v) = -v**2 - 11*v - 8. Let t = 77 - 32. Suppose -6*r + r - t = 0. Let j be a(r). Solve -2 = 4*i + j for i. -3 Let z be (1 + 4)/(10/4). Solve -u - 1 - z = 0 for u. -3 Suppose 3*n - 6 = 6. Solve -t + n = -0*t for t. 4 Let v = 1 - 1. Suppose v = -2*i - 3*q + 2*q + 32, 2*i - 8 = 5*q. Let d be 94/14 + 4/i. Solve -1 - d = 2*x for x. -4 Suppose -9 - 9 = -3*i. Solve 2*t + i = 5*t for t. 2 Suppose -5*y - 9 = -114. Let w = y + -12. Solve 4*a - 1 + w = 0 for a. -2 Let k(f) = f**3 - 3*f**2 - 8*f + 4. Let l(r) = -r**3 + 4*r**2 + 9*r - 4. Let s(w) = 6*k(w) + 5*l(w). Let h be s(-3). Solve 3*a - h + 10 = 0 for a. -2 Let v = -21 + 25. Solve -v*i = i for i. 0 Let o be (5 + 2)*(0 + 1). Suppose -d + 0*d = o. Let a be 2/d - (-16)/7. Solve -6 = -4*x - a for x. 1 Let o be 5*1 + -1 + -1. Let a(j) = j - 5. Let g be a(10). Solve -i = g - o for i. -2 Suppose p - 6*p = 0. Let h be 6/8*4 + 15. Suppose 2*a = -5*q + 6, -4*q + h = -a - 4*a. Solve p = -v - q*v for v. 0 Let w be (-20)/(-50) + 18/5. Solve w*z + 15 = -5 for z. -5 Let z(u) = -u**2 - 8*u - 4. Let x be z(-7). Let a be (1/((-1)/8))/(-1). Solve -x*m = m + a for m. -2 Let w(d) = -d**2 - d. Let h be w(-1). Suppose h = 2*a - 0 - 10. Solve -2 - 13 = -a*x for x. 3 Suppose -2*m = i, 0 = -5*i + 3*i - 8. Suppose 2*f + 0 = m. Let q = 8 + -6. Solve 0 = q*u + f - 5 for u. 2 Let i(b) = b**3 + 4*b**2 - 4*b + 7. Let a be i(-5). Solve 0 = a*x + x - 6 for x. 2 Let q(v) = -v - 1. Suppose -o - 2*o = 0. Let h(c) = -c - 7. Let b be h(o). Let d be q(b). Solve -3*l + d = -0*l for l. 2 Suppose -6*p = -p. Solve 2*v - 1 + 5 = p for v. -2 Let h = -8 - -5. Let a = h + -9. Let w be 1/(2/a*-3). Solve w*x = -x - 15 for x. -5 Suppose 3*p - 28 = -p. Let t = p - 5. Solve -f - 7 + t = 0 for f. -5 Let m = 28 + -23. Solve -t = -m + 1 for t. 4 Suppose 16 = -p + 17. Solve 3*d = 13 - p for d. 4 Let q(b) = -b - 5*b**2 + 4*b**2 - b**3 + 4*b**2 + 10 + 4*b**2. Let u be q(7). Solve -2*i - u*i = 10 for i. -2 Let i = 10 + -6. Suppose x = i*x. Solve x*j = -3*j - 9 for j. -3 Suppose -5*l + 19 = b, -3*l + 10 = 3*b - 11. Solve v - b*v = -6 for v. 2 Let p(t) = t**3 + t**2 - 1. Let o be p(0). Let l be (-19)/(-4) + o/(-4). Suppose 2*a + a = 3*h - 18, h - 26 = l*a. Solve 3 = n + h for n. 2 Suppose 100 = n + 4*n + k, -4*n - 2*k + 80 = 0. Solve -2*o + 7*o = n for o. 4 Let g(d) = -3*d. Let r(h) = -h**3 - 6*h**2 - 3. Let u be r(-6). Let w = -4 - u. Let f be g(w). Solve -2*y + f = 11 for y. -4 Let v = 5 + -1. Let c be v*-1*(2 - 3). Suppose 0*m + 3*m = c*z - 7, 0 = m + z - 7. Solve -m*p = -p for p. 0 Let l be 70/17 - (-16)/(-136). Solve l*i + i = -5 for i. -1 Suppose 2*j + 2*u - 4*u - 4 = 0, -j = 5*u - 8. Suppose o - 5 + 3 = t, o = -4*t - 23. Let q(h) = -h**2 - 4*h + 2. Let a be q(o). Solve j = 2*p + a for p. -1 Suppose 2*o + 17 = 1. Let v(n) = -n. Let i(s) = -s**3 - 7*s**2 + 7*s. Let j(r) = -i(r) + v(r). Let f be j(o). Solve f*z = -2*z for z. 0 Suppose -y = y - 14. Suppose 1 = 2*p - y. Solve 11 = -p*z - 9 for z. -5 Let i be (-2*1)/(-1)*1. Let b be 1*i - (2 + -1). Let z = b + 1. Solve z = 5*x - 23 for x. 5 Let z(x) = -x + 1. Let p be z(6). Let m be (-15)/p - 3*1. Let f be (-2)/(-3)*(-6)/(-4). Solve -3*v + f - 4 = m for v. -1 Suppose 2 = m, v = -0*v - 4*m + 20. Suppose r - 10 = -i + v, -5 = -r. Solve i = 5*o - 3 for o. 4 Let y = 4 + -2. Suppose y*z = 5*r + 2, 2*z - 4*r = z - 2. Solve z = -0*s + 2*s for s. 3 Let c(f) = 2*f - 3*f**2 + 24 + 2*f**2 - 2*f**2 + 3*f**3 - 23. Let r be c(2). Let z = -12 + r. Solve -z*j = -6 - 14 for j. 4 Suppose 2*y - 6 = -0*y, 2*y = m + 2. Let n = m - 4. Solve n = -2*k + 10 - 2 for k. 4 Let r(u) = 2*u**2 + u + 1. Let j be r(-1). Let f be 3/(-1) - (-5 - 0). Suppose -f + 4 = x. Solve -j*h + 16 = x*h for h. 4 Suppose 3*x = -3*x. Suppose 16 = 3*b - 0*i - 2*i, -5*i - 33 = -4*b. Solve -b*l + l - 5 = x for l. -5 Let s(r) = -2*r**2 + 11*r - 5. Let v be s(5). Solve v*d + d = -3 for d. -3 Let b(o) = -o**3 - 12*o**2 + 4. Let h be b(-12). Suppose 4*g = -2*d + 22, 5*d = 2*g + 7 - 0. Solve -4 = h*c + g for c. -2 Let n be 64/(-56)*(-21)/6. Solve -5*q - n = 1 for q. -1 Let x be 92/6 + 2/(-6). Let y = 0 + x. Solve 0 = -f - 2*f - y for f. -5 Suppose -4 = -c - 25. Let r be ((-12)/c + 2)*7. Suppose r = 4*f - 58. Solve 6 = 5*p - f for p. 5 Suppose -2*o = -5*o - 9. Let s(t) = t**3 + 2*t**2 + 3. Let l be s(o). Let p be ((-20)/8)/(1/l). Solve -7*d = -2*d + p for d. -3 Suppose r - 2 = -0*r. Let p = 2 - r. Solve -d - 4 = -p for d. -4 Suppose -5*f + 14 = 2*f. Solve l = -f*l for l. 0 Suppose 14*s - 16*s = -4. Solve -s*a + 4 = -4 for a. 4 Let u(k) = -2 - 1 + 0 + k. Let d(z) = z**3 - 4*z**2 + 2*z - 2. Let n be d(4). Let a be u(n). Solve -a*m - 20 = 2*m for m. -4 Suppose 65 = -5*d - 3*k, -d + 4*k = 54 - 18. Let p = 31 - 56. Let y = d - p. Solve y = 4*g - 3 for g. 3 Let t be (-18)/(-63) - 24/(-14). Solve 2*j - 4*j + t = 0 for j. 1 Let s(j) be the first derivative of -j**2/2 + 12*j - 4. Let v be s(8). Solve -v*h + h = 12 for h. -4 Let p = -81 - -84. Solve -p*o - 2 - 7 = 0 for o. -3 Let k = 18 - 9. Suppose v - 4*v = -k. Solve y = -2*y - v for y. -1 Let s = 10 + -10. Solve -4*b + 1 - 9 = s for b. -2 Suppose 5*o - 25 = -5*w, -5*w + 0
{ "pile_set_name": "DM Mathematics" }
2876 + 9460 + 31798 - 66 = -958*p for p. -46 Solve -571*m = -4000 - 3422 + 3653 - 4796 for m. 15 Solve -2003*s - 383*s - 72478 = -48*s for s. -31 Solve -1175*w = 963*w - 102624 for w. 48 Solve 1695 = 232*t + 10047 for t. -36 Solve 749*v + 233*v - 8814 = -20598 for v. -12 Solve 983*z - 27469 - 9595 = -3642 for z. 34 Solve 6809 + 3223 = -115*s + 1212*s - 938 for s. 10 Solve -36496 = -1352*w - 879*w + 48282 for w. 38 Solve 0 = 67*a - 394237 + 397185 for a. -44 Solve -2812*g = -965*g + 4841*g + 615296 for g. -92 Solve -14160 = -61013675*g + 61013557*g for g. 120 Solve -1780*x + 72861 = 801*x + 2919*x - 174639 for x. 45 Solve 808 + 15191 = -310*v - 10971 for v. -87 Solve -8165 = -500*f - 545*f + 1160*f for f. -71 Solve 322542*t - 322467*t = -3679 - 146 for t. -51 Solve -62*y - 597*y = 245*y + 2503 + 21905 for y. -27 Solve 476 - 7169 = -429*a + 3603 for a. 24 Solve 5374*j + 52955 = 4751*j for j. -85 Solve -3643*d - 3492*d = 3514*d - 2927*d + 957528 for d. -124 Solve -2134*p + 4401*p - 2172*p = 285 for p. 3 Solve -23026 = -1129*c + 1526*c for c. -58 Solve 18338 = -6879*s - 16057 for s. -5 Solve 0 = 231*i - 1115 - 777 + 737 for i. 5 Solve 570 + 422 = 18*x + 13*x for x. 32 Solve -5145 = -169932*a + 169827*a for a. 49 Solve 4227 + 720 + 2451 = -411*k for k. -18 Solve 1683 - 3785 = -292*q + 15126 for q. 59 Solve -333*g - 179*g + 18799 + 9361 = 0 for g. 55 Solve -607896 = 15*r - 607836 for r. -4 Solve -305*o + 166*o - 1022 = -212*o for o. 14 Solve 31 - 30 = 187*f - 16*f + 1 for f. 0 Solve 1126*w = -7238 - 20397 - 23035 for w. -45 Solve 0 = 2190*v + 3143*v - 223986 for v. 42 Solve -19*w + 2*w + 171*w = -43*w + 11426 for w. 58 Solve 3365*x - 3289*x = 1216 for x. 16 Solve -89539*s = -89236*s + 16968 for s. -56 Solve 983*b - 5756*b + 138417 = 0 for b. 29 Solve -452 + 1748 = 63*i - 909 for i. 35 Solve 949*d = 658*d - 4365 for d. -15 Solve 732 + 487 = -60*r + 79 for r. -19 Solve -25*j - 1674 = -3750 + 1751 for j. 13 Solve -9204 + 1944 = 326*r + 9543 + 475 for r. -53 Solve 114621*r - 116012*r = 55640 for r. -40 Solve 184051*j = 183895*j - 6708 for j. -43 Solve 378*u + 3003 - 2247 = 0 for u. -2 Solve -3*z - 890 - 2270 = -82*z for z. 40 Solve -1054*l - 2127 = 8413 for l. -10 Solve 506*j - 367*j + 3948 = -425*j for j. -7 Solve 941324*i = 941289*i + 490 for i. 14 Solve -52*x - 14*x - 304 = 10*x for x. -4 Solve 3950691*o + 22500 = 3950316*o for o. -60 Solve -19836 = 686*o - 1132*o + 707*o for o. -76 Solve -338776 = -2186*u - 2121*u + 1816*u for u. 136 Solve 87*v + 3148 = -430*v - 13*v - 24942 for v. -53 Solve 1455*i + 42119 + 29470 = 2916*i for i. 49 Solve -12186 = 172*a - 14594 for a. 14 Solve -107*j + 101*j + 5467 = -83*j for j. -71 Solve 902*v + 138886 = 4204*v + 7672*v + 1652*v for v. 11 Solve 9434 = -179*a - 122*a + 103 for a. -31 Solve -305*y - 63*y + 11805 = -14323 for y. 71 Solve 39*p + 4*p + 6732 = -56*p for p. -68 Solve -3824*c + 3994*c + 680 = 0 for c. -4 Solve -223*o = 163*o + 60 + 9976 for o. -26 Solve -21*y = 137*y + 158 - 1896 for y. 11 Solve 112*m - 306*m - 6441 - 22233 = 1399*m for m. -18 Solve -1209*g - 47692 + 5214 = 2016*g + 15572 for g. -18 Solve 26014425 = 84*k + 26008881 for k. 66 Solve 62*t + 4167 = 147*t + 1030 - 858 for t. 47 Solve 1913*v - 1832*v - 736 = -4462 for v. -46 Solve 5074*b - 874*b = -1378*b + 78092 for b. 14 Solve 8517*h - 4063*h = 4072*h + 764 for h. 2 Solve -505*s - 551*s - 69552 = -48*s for s. -69 Solve 199727*n = 199754*n - 1404 for n. 52 Solve -14*l = 17*l - 3369 + 1790 + 1827 for l. -8 Solve 30877*m - 32364*m + 43123 = 0 for m. 29 Solve 206*l - 241 + 439 = -1166 - 284 for l. -8 Solve -26410 = 2894*w + 22788 for w. -17 Solve 431*v - 4638 + 7752 + 9037 = -7244 for v. -45 Solve 257*k + 198 = -249*k + 512*k for k. 33 Solve 45891*i = 45765*i + 2520 for i. 20 Solve -136*g + 20997 - 6597 = 134*g + 90*g for g. 40 Solve -21*m + 398*m - 12690 = 78*m - 2524 for m. 34 Solve -62*k - 703*k - 508*k + 187131 = 0 for k. 147 Solve 2933 - 2810 = 123*k for k. 1 Solve -10854*h + 10381*h = 28853 for h. -61 Solve 8666*o - 328915 = 266672 - 179619 for o. 48 Solve -711 = -132*y - 217 + 5252 + 3890 for y. 73 Solve 1227*c - 3361*c - 12400 = -1159*c - 1175*c for c. 62 Solve 7*g - 2504741 = -2504391 for g. 50 Solve 0 = 2378*c + 43639 - 17976 + 62323 for c. -37 Solve -278*z + 7327 - 7883 = 0 for z. -2 Solve 101760*k = 101677*k + 7055 for k. 85 Solve 145*n + 8784 = 87 + 432 for n. -57 Solve 11 = -10*v + 7 + 5 + 9 for v. 1 Solve 6275 = 4*n + 6331 for n. -14 Solve -13131 = -27*b + 191*b - 12803 for b. -2 Solve 103*d - 246*d = -7908 - 1244 for d. 64 Solve -31*s - 156*s + 6937 - 392 = 0 for s. 35 Solve 175*f = 130*f - 914 - 571 for f. -33 Solve 361*w = 2708*w for w. 0 Solve 956*d - 125088 = -121264 for d. 4 Solve -3263*b - 180540 = 749*b for b. -45 Solve -30479 = 385*z + 931 + 7475 for z. -101 Solve 35*t - 43*t + 76 = 30*t for t. 2 Solve 0 = -41*i - 3712 + 5721 for i. 49 Solve -328*f + 5465 = 38*f - 6247 for f. 32 Solve 0 = -10*y - 21*y - 100 - 550 - 311 for y. -31 Solve 435*y + 10158*y = -1044*y - 279288 for y. -24 Solve 2518753*a = 2518382*a - 44520 for a. -120 Solve -11262 = -974*f + 38412 for f. 51 Solve 79835469*m - 1328 = 79835447*m + 1334 for m. 121 Solve 1778*v + 1562*v + 1008*v - 395892 = -365*v for v. 84 Solve -144*k = 289 - 3618 - 847 for k. 29 Solve 9935*c - 10104*c + 13351 = 0 for c. 79 Solve -218*t + 210 + 3650 = -1154 for t. 23 Solve 242 = 204*w - 162*w - 153*w - 7306 for w. -68 Solve -1886*t + 27023 + 44561 = -17639 + 21327 for t. 36 Solve -200*f + 86*f - 2505 = 721*f for f. -3 Solve -2201*c + 3139*c - 2814 = 0 for c. 3 Solve -f + 4543 = -77*f + 4619 for f. 1 Solve -66445599*i + 21476 = -66445417*i for i. 118 Solve 6008*o - 58094 = 5071*o for o. 62 Solve 3874*z - 23135 = 4535*z for z. -35 Solve 3273*r + 4407*r - 2115*r = -178080 for r. -32 Solve 5352 - 4269 = -57*g for g. -19 Solve -8543*h + 345922 + 679916 = 414095 - 327987 for h. 110 Solve -5598*b + 5647*b = -49 for b. -1 Solve 0 = 229*h + 1930 - 103 + 2912 - 159 for h. -20 Solve -1239*g + 62625 + 59637 = -596*g + 848*g for g. 82 Solve -1702*y + 234*y - 725381 = 9512*y - 99521 for y. -57 Solve -4*y + 3660*y - 431477 = -1943*y - 33948 for y. 71 Solve 3068*n + 1630 - 524 - 2436 = 4806 for n. 2 Solve 14*r + 20733 = 184*r - 9*r + 8336 for r. 77 Solve 0 = 17519*w - 402588 - 508400 for w. 52 Solve -136*t + 5*t = -64*t - 3685 for t. 55 Solve 0 = -100109*j + 100029*j - 160 for j. -2 Solve 8165 = -13859655*k + 13859540*k for k. -71 Solve 371*w - 43 - 142 = 186 for w. 1 Solve -6025*f + 781724 = -14522*f for f. -92 Solve 2364*s = 4722*s - 2363*s + 173 + 67 for s. 48 Solve -1922 = -489*z - 18116 - 4833 for z. -43 Solve 1824 = -1880*c - 1847*c + 3879*c for c. 12 Solve -604*l - 55 = -14551 for l. 24 Solve -6597*o + 12157 + 34022 = 0 for o. 7 Solve -10970393*k + 10970233*k = -4320 for k. 27 Solve -28687 + 42394 + 43215 = 1074*y for y. 53 Solve 6207 = -240*u - 4493 - 4042 - 1818 for u. -69 Solve 0 = -1950*g + 2633*g + 34150 for g. -50 Solve 4622 - 3978 = -28*j for j. -23 Solve 0 = 303*r - 1705 + 19582 for r. -59 Solve -8874*o - 150372 = -201039 - 74486 - 238681 for o. 41 Solve -204*x - 2451 = 4619 + 6190 for x. -65 Solve 0 = -213*w - 6758 + 368 for w. -30 Solve -21082 + 8337 - 15501 = 161*p + 326*p for p. -58 Solve 5333*h = 5487*h + 6006 for h. -39 Solve -229*i = 103*i - 12284 for i. 37 Solve -236 = 3948539*j - 3948480*j for j. -4 Solve 0 = -555*k + 22053 + 22347 for k. 80 Solve 465964 = -83*f + 464636 for f. -16 Solve 15*j + 10*j = -30*j - 76*j + 9694 for j. 74 Solve 276*u - 306*u = 90 for u. -3 Solve 87 - 324 + 116 = 14*j + 579 for j. -50 Solve -298*q - 138501 = 886*q + 215*q for q. -99 Solve 667*v - 387*v = -5600 for v. -20 Solve -3306*f - 13069 = 144028 - 8327 for f. -45 Solve -1933 + 489 = 131*y + 3086 + 1889 for y. -49 Solve -397130*y + 397119*y = -33 for y. 3 Solve 8*d - 34 = -3 + 97 for d. 16 Solve 0 = -2530*l - 1804*l - 433400 for l. -100 Solve 82*x - 27*x - 120*x = 38*x + 5356 for x. -52 Solve 278*z + 631*z + 20038 = -585*z - 24782 for z. -30 Solve 1419 - 762 = -152*c - 2*c - 6581 for c. -47 Solve -848 + 2635 = 343*z - 4387 for z. 18 Solve 197*n + 257*n + 29920 = 14*n for n. -68 Solve -164*x - 91*x - 8370 = 55*x for x. -27 Solve 158*r - 1480 = 289*r - 168*r for r. 40 Solve -219*l - 41*l = -
{ "pile_set_name": "DM Mathematics" }
What is 541 to the power of 1/2, to the nearest integer? 23 What is 13314 to the power of 1/4, to the nearest integer? 11 What is 1387 to the power of 1/6, to the nearest integer? 3 What is the cube root of 19360 to the nearest integer? 27 What is the cube root of 29 to the nearest integer? 3 What is the sixth root of 59180 to the nearest integer? 6 What is the seventh root of 8821 to the nearest integer? 4 What is the tenth root of 61184 to the nearest integer? 3 What is the square root of 1115 to the nearest integer? 33 What is 23786 to the power of 1/3, to the nearest integer? 29 What is 11968 to the power of 1/3, to the nearest integer? 23 What is the square root of 36332 to the nearest integer? 191 What is the square root of 51398 to the nearest integer? 227 What is the ninth root of 106 to the nearest integer? 2 What is the ninth root of 39 to the nearest integer? 2 What is 6049 to the power of 1/2, to the nearest integer? 78 What is the square root of 148266 to the nearest integer? 385 What is 12019 to the power of 1/5, to the nearest integer? 7 What is the cube root of 925 to the nearest integer? 10 What is the seventh root of 2590 to the nearest integer? 3 What is 5127 to the power of 1/4, to the nearest integer? 8 What is 144676 to the power of 1/2, to the nearest integer? 380 What is the third root of 4629 to the nearest integer? 17 What is the square root of 3433 to the nearest integer? 59 What is 510 to the power of 1/7, to the nearest integer? 2 What is 37 to the power of 1/2, to the nearest integer? 6 What is the ninth root of 4819 to the nearest integer? 3 What is the third root of 3481 to the nearest integer? 15 What is the third root of 1196 to the nearest integer? 11 What is the cube root of 2856 to the nearest integer? 14 What is the tenth root of 3463 to the nearest integer? 2 What is the ninth root of 4799 to the nearest integer? 3 What is the square root of 36152 to the nearest integer? 190 What is 28206 to the power of 1/7, to the nearest integer? 4 What is the square root of 521 to the nearest integer? 23 What is the eighth root of 135699 to the nearest integer? 4 What is the cube root of 1152 to the nearest integer? 10 What is the square root of 1347 to the nearest integer? 37 What is the third root of 13 to the nearest integer? 2 What is the fourth root of 8692 to the nearest integer? 10 What is 10672 to the power of 1/3, to the nearest integer? 22 What is the cube root of 2509 to the nearest integer? 14 What is the sixth root of 34946 to the nearest integer? 6 What is 28129 to the power of 1/4, to the nearest integer? 13 What is 1584 to the power of 1/2, to the nearest integer? 40 What is 2440 to the power of 1/2, to the nearest integer? 49 What is 817 to the power of 1/2, to the nearest integer? 29 What is the square root of 10372 to the nearest integer? 102 What is 2086 to the power of 1/6, to the nearest integer? 4 What is 27265 to the power of 1/9, to the nearest integer? 3 What is 2680 to the power of 1/5, to the nearest integer? 5 What is 2059 to the power of 1/3, to the nearest integer? 13 What is 9942 to the power of 1/5, to the nearest integer? 6 What is the square root of 30269 to the nearest integer? 174 What is the fifth root of 420 to the nearest integer? 3 What is the square root of 812 to the nearest integer? 28 What is 878 to the power of 1/2, to the nearest integer? 30 What is the fifth root of 27238 to the nearest integer? 8 What is the square root of 41093 to the nearest integer? 203 What is 57477 to the power of 1/6, to the nearest integer? 6 What is 25953 to the power of 1/2, to the nearest integer? 161 What is the third root of 38807 to the nearest integer? 34 What is 175 to the power of 1/10, to the nearest integer? 2 What is 81897 to the power of 1/3, to the nearest integer? 43 What is 141577 to the power of 1/3, to the nearest integer? 52 What is 74538 to the power of 1/8, to the nearest integer? 4 What is 1806 to the power of 1/2, to the nearest integer? 42 What is 1800 to the power of 1/2, to the nearest integer? 42 What is 49949 to the power of 1/2, to the nearest integer? 223 What is the fifth root of 1068 to the nearest integer? 4 What is the third root of 24381 to the nearest integer? 29 What is the square root of 14985 to the nearest integer? 122 What is 39254 to the power of 1/2, to the nearest integer? 198 What is the third root of 5128 to the nearest integer? 17 What is 11680 to the power of 1/7, to the nearest integer? 4 What is the fifth root of 25178 to the nearest integer? 8 What is the third root of 33154 to the nearest integer? 32 What is the cube root of 93870 to the nearest integer? 45 What is 9873 to the power of 1/2, to the nearest integer? 99 What is 1466 to the power of 1/5, to the nearest integer? 4 What is 1346 to the power of 1/3, to the nearest integer? 11 What is 5335 to the power of 1/3, to the nearest integer? 17 What is 10719 to the power of 1/5, to the nearest integer? 6 What is 121249 to the power of 1/8, to the nearest integer? 4 What is 34 to the power of 1/4, to the nearest integer? 2 What is the third root of 2158 to the nearest integer? 13 What is 169275 to the power of 1/6, to the nearest integer? 7 What is the square root of 956 to the nearest integer? 31 What is the square root of 18234 to the nearest integer? 135 What is the square root of 806 to the nearest integer? 28 What is 970 to the power of 1/2, to the nearest integer? 31 What is 744 to the power of 1/2, to the nearest integer? 27 What is the seventh root of 22120 to the nearest integer? 4 What is the third root of 9898 to the nearest integer? 21 What is 36233 to the power of 1/2, to the nearest integer? 190 What is 120347 to the power of 1/2, to the nearest integer? 347 What is 11294 to the power of 1/9, to the nearest integer? 3 What is 2300 to the power of 1/2, to the nearest integer? 48 What is 29489 to the power of 1/8, to the nearest integer? 4 What is 5204 to the power of 1/8, to the nearest integer? 3 What is 4950 to the power of 1/2, to the nearest integer? 70 What is the cube root of 1708 to the nearest integer? 12 What is the fifth root of 4603 to the nearest integer? 5 What is 29408 to the power of 1/2, to the nearest integer? 171 What is the third root of 40278 to the nearest integer? 34 What is the third root of 1410 to the nearest integer? 11 What is the sixth root of 9091 to the nearest integer? 5 What is 49261 to the power of 1/2, to the nearest integer? 222 What is the square root of 170 to the nearest integer? 13 What is 139 to the power of 1/7, to the nearest integer? 2 What is 4525 to the power of 1/3, to the nearest integer? 17 What is 840 to the power of 1/4, to the nearest integer? 5 What is the cube root of 2699 to the nearest integer? 14 What is 79847 to the power of 1/10, to the nearest integer? 3 What is 1171 to the power of 1/2, to the nearest integer? 34 What is the sixth root of 2868 to the nearest integer? 4 What is the third root of 2042 to the nearest integer? 13 What is the seventh root of 20908 to the nearest integer? 4 What is 33411 to the power of 1/2, to the nearest integer? 183 What is 190 to the power of 1/2, to the nearest integer? 14 What is the third root of 18852 to the nearest integer? 27 What is the square root of 7890 to the nearest integer? 89 What is the tenth root of 85327 to the nearest integer? 3 What is 15572 to the power of 1/3, to the nearest integer? 25 What is the cube root of 1420 to the nearest integer? 11 What is 1009 to the power of 1/2, to the nearest integer? 32 What is 43396 to the power of 1/2, to the nearest integer? 208 What is the fifth root of 10138 to the nearest integer? 6 What is 2994 to the power of 1/2, to the nearest integer? 55 What is the third root of 141 to the nearest integer? 5 What is the sixth root of 1061 to the nearest integer? 3 What is the cube root of 842 to the nearest integer? 9 What is the cube root of 2091 to the nearest integer? 13 What is the cube root of 7099 to the nearest integer? 19 What is 3223 to the power of 1/7, to the nearest integer? 3 What is 25806 to the power of 1/2, to the nearest integer? 161 What is 891 to the power of 1/6, to the nearest integer? 3 What is 723 to the power of 1/1
{ "pile_set_name": "DM Mathematics" }
n multiple of l and 11? 418 Let j(p) = p**3 + 19*p**2 + 34*p + 18. Suppose 4*x + 83 = -3*f, -3*f - 57 = 3*x + 9. What is the least common multiple of 260 and j(x)? 2340 Let n = -1481 + 1613. Calculate the lowest common multiple of n and 176. 528 Let b(l) = l**2 + 7*l - 1. Let z be b(-6). Calculate the common denominator of (((-7)/z)/(-6))/((-10)/116) and 7/15. 15 Let i(m) = -m**3 - 3*m**2 - 4*m - 9. Let w be i(-3). What is the common denominator of -1 - 128/(-26) - w and (-2)/(-5) + 393/(-45)? 39 Find the common denominator of 6/(-2) - 1 - (-24717)/6996 and 59/22. 2332 What is the common denominator of (-24)/(-180)*(-303)/(-8) and (2/64)/((-298)/(-30098))? 160 Let m(g) = 28*g**3 + 2*g**2 - 5*g - 2. Let x be m(2). Suppose 4*s = 2*f + 249 + 191, 5*f = 2*s - x. Calculate the least common multiple of 14 and s. 770 Let o = 5565 + -5555. Let a(b) = -b - 3. What is the lowest common multiple of o and a(-4)? 10 Suppose -71*m + 270 = -65*m. What is the smallest common multiple of 276 and m? 4140 Let u(x) = -33*x - 1275. Calculate the smallest common multiple of 12 and u(-40). 180 Let p = 2193 - 2083. Calculate the smallest common multiple of p and 5. 110 Let t(f) = 4*f - 5. Let u be t(4). Suppose u*a = 12*a + 5*n + 4, a - 4 = -n. Let l = 75 - 48. Calculate the smallest common multiple of a and l. 54 Suppose -281 = -3*v - 4*k, -507 = v - 6*v + 3*k. Let g = v - 87. Suppose 0 = 3*r - r - 4. Calculate the lowest common multiple of r and g. 12 Suppose -z + 12 = 2*z - 3*s, 0 = z - 5*s. Suppose -b - 5*j - z - 13 = 0, 0 = -5*b - 5*j - 50. What is the lowest common multiple of 6 and 7 - (4 - (-2 - b))? 18 Suppose 4*g = -16, 13 = y - 2*y - 4*g. Let q(w) = 9*w + 69. Calculate the smallest common multiple of y and q(-7). 6 Let r = 18 - 16. Suppose -l - 4*l + r*t = -155, -2*l = -4*t - 62. Let k = 47 - l. What is the lowest common multiple of 14 and k? 112 Let r = 53 - 53. Suppose 0 = 2*z + 5*s + 16, -3*s = -r*s + 12. Calculate the smallest common multiple of z and (2 + -17)*4/(-6). 10 Let f(y) = -6*y**3 - 3*y + 2. Let s be f(1). Let o be 2 - ((-6 - s) + (-1 - 2)). Calculate the common denominator of (o/3 - 2) + (-63)/15 and -47/6. 30 Let v = 1263 + -885. Let t = -334 + v. What is the lowest common multiple of t and 132? 132 Let z = 125989/858 + -1910/13. What is the common denominator of z and -151/780? 8580 Calculate the common denominator of 101/80 and 149/96 - (-1 + 14/7). 480 Let a be (-11640)/97*1/((-3)/4). Let m = 230 - a. Calculate the smallest common multiple of m and 5. 70 Suppose 94*p - 1185 = 902 + 2613. What is the lowest common multiple of 13 and p? 650 Let o = -47/880 + 19247/18480. Let i = -3370 + 60553/18. Calculate the common denominator of i and o. 252 Let n = 8 - 9. Suppose -4*k - 37 = 2*b - 109, -4*k + 4*b + 84 = 0. Let l = n + k. Calculate the least common multiple of l and 44. 396 Let u = 1526 - 6047/4. Let q = 366904 - 111538909/304. What is the common denominator of u and q? 304 Let h = -169701 + 41407137/244. Calculate the common denominator of 187/600 and h. 36600 Suppose -146 = 2*v + b, v - b + 73 = -3*b. Let i = -124 - v. Let n = 54 + i. Calculate the smallest common multiple of 1 and n. 3 Let x(m) = -m**2 - 39*m - 217. Calculate the smallest common multiple of x(-9) and 1113. 1113 Suppose 843 = 22*o - 605 + 524. Calculate the smallest common multiple of 52 and o. 1092 Let m be (-3 + 10/2)*(-3069)/(-6). Suppose -j - m = -1039. What is the least common multiple of 26 and j? 208 Let k = -1297/5 - -254. Let j = 329 + -98. What is the common denominator of k and (-453)/j - -2*(0 - -1)? 385 Let x = -3861289/340 - -56784/5. Find the common denominator of x and 23/102. 1020 Let m = 1839/29 - 333741/5278. What is the common denominator of m and -61/728? 728 Let h = -9026 + 20022. Let u be h/(-1330)*(-15)/924. Let f = -2/931 - u. What is the common denominator of -27/20 and f? 220 Let b = 1449/3440 + 93/430. Calculate the common denominator of b and 93/64. 320 Calculate the common denominator of 71/200 and ((-7626)/(-465))/(56/(-6))*(-28)/72. 600 Suppose 31*v - 4352 = 35731. Calculate the lowest common multiple of v and 3. 1293 Suppose 0 = 203*m - 175*m - 448. Calculate the smallest common multiple of 1672 and m. 3344 Let k(y) be the third derivative of -7*y**4/24 + 25*y**3/6 - 45*y**2. Calculate the least common multiple of k(2) and 10. 110 Suppose -5*y = -4*o + 36, 2*o + o = -3*y. Suppose -114 = -o*g - 6. Suppose -z = -g - 0. Calculate the least common multiple of z and 15. 135 Calculate the common denominator of 59/2480 and 264/(-248)*(-782)/12420. 22320 Let u(r) = -r**2 + 9*r - 11. Let n be u(2). Suppose -3*c = 5*i - 47, n*i + 0*i - 32 = 2*c. What is the least common multiple of 137 and i? 1370 Suppose -2566 - 18450 = -71*n. What is the least common multiple of n and 64? 2368 Let n = -54 - -94. Suppose -n - 245 = -19*w. What is the lowest common multiple of 36 and w? 180 Find the common denominator of 190/(-924)*16/(-10) and 44/2*-1 + (-72170)/(-3234). 231 Let y(x) = -x**2 - 3 - 18 - 5 - 4 + 13*x. What is the least common multiple of y(7) and 4? 12 Let y = 16 + -15. Let z(g) = g**3 + 8*g**2 + 4*g - 20. Calculate the smallest common multiple of z(-7) and y. 1 Let d(w) = -2253*w**2 - 4*w - 4. Let v be d(-1). Calculate the common denominator of -20/11 and 2/(-15) + v/(-360). 88 Let m = 790 - 786. Calculate the lowest common multiple of 88 and m. 88 Suppose -406304 - 191392 = -566*h. Calculate the least common multiple of h and 66. 1056 Let l = -1154 - -314. Let w be -5086*-3*(-6)/108. Let z = l - w. Calculate the common denominator of z and -119/6. 6 Let t(r) = -2*r**3 + 42*r**2 + 14. Let b(k) = 2*k**2 + 4*k - 9. Let u be b(-5). Calculate the least common multiple of (1 + (-36)/20)*-40 and t(u). 224 Suppose -157 = 9*d - 10*d. Let m = 223 - d. What is the lowest common multiple of 60 and m? 660 Let u(a) = 5*a - 8. Suppose 0 = 2*i - 7*i + 30. Calculate the lowest common multiple of (-8 - (8 - 150/9))/((-1)/(-12)) and u(i). 88 Let q be (14/24*9)/((-2)/24). Let b(w) = w**3 - w**2 - 6*w - 3. Let z be b(5). Let l = q + z. What is the lowest common multiple of 52 and l? 52 Let g = 40 + -24. Suppose -37 = 5*f - 52. Suppose f*s + 228 = 22*s. Calculate the smallest common multiple of s and g. 48 Let r be 33/(-22) + (-9)/(-2). Suppose 2*t + 26 = g - r*t, 5*g + 4*t = 188. Calculate the smallest common multiple of g and 28. 252 Suppose -2*l - 3*r + 138 = 0, 3*l + r - 226 = 6*r. Let t(m) = -2*m**2 + 472*m - 6156. Calculate the smallest common multiple of l and t(14). 360 Let w(y) = -34*y - 31. Let v be w(-7). Suppose 5*b + 258 = -v. What is the common denominator of -14/19 and (14/5)/(-4 + b/(-15))? 209 Let t = -7630 + 8310. Calculate the lowest common multiple of 1275 and t. 10200 Let y(o) = -19 + 2*o**3 + 0*o**3 - 9*o + 30 - 13*o**2. Let i be y(6). Let v = 82 + i. What is the lowest common multiple of v and 11? 33 Suppose -5*m - 26 = -5*c - 6, 2*c + m = 14. Suppose 42*t - 36*t + 90 = 0. Calculate the least common multiple of (t + 17)*(1 - -12) and c. 78 Let x = 638306/37733 - 1598/97. Let o = 78107/149376 - x. Calculate the common denominator of 61/8 and o. 384 Let k = 14 - 2. What is the smallest common multiple of k and 952? 2856 Suppose -5*d = d + 23274. Let u = d + 38827/10. Find the common denominator of (-8)/28 - (-1696)/(-140) and u. 10 Let j be 1*-1*(0 - 1). Suppose 2*l = 14 - 20, 0 = -c - 2*l - 50. Find the common denominator of (j/c)/(19/494) and 83/2. 22 Let b = -33868 - -34033. Calculate the smallest common multiple of b and 1485. 1485 Let q(d) = -3*d - 37 + 46 - 3*d. Let b(a) = a. Let x(s) = 4*b(s) - q(s). Calculate the smallest common multiple of x(4) and 11. 341 Suppose -13*h + 3*q = -9100, -3*q = h - 5*q - 700. What is the lowest common multiple of 14 and h? 700 Let s(a) = -a**2 + 10*a - 10. Suppose -12*g + 394 = -206. Let f = g + -47. Calculate the lowest common multiple of s(8) and f. 6 Suppose b = -2*n + 9, n = 2*b - 4*n. Suppose r = b*r - 36. Let g = 396 + -395. Calculate the least common multiple of g and r. 9 Let w be (1 - (-1 + 17))*105/9. Let s = -165 - w. Calculate the smallest common multiple of s and 4. 20 Let c = -4241/13 + 3451771/10582. What is the common denominator of 79/222 and c? 2442 Suppose -5*n + t = 13 - 70, 4*n -
{ "pile_set_name": "DM Mathematics" }
9, 0 = -r*s + 5*i + 103. List the prime factors of s. 2, 3 Suppose -150*y = -156*y + 3108. What are the prime factors of y? 2, 7, 37 Let o(t) = 458*t - 5. What are the prime factors of o(1)? 3, 151 Let i be 3/(-1) + 2 + 7. Let m be i/(-15) + 3/(-5). What are the prime factors of (-4)/m + 70 + -1? 73 Let v be (-40)/(-22) + 6/33. Suppose v*a - 9 - 71 = 0. Let b = -23 + a. What are the prime factors of b? 17 Suppose 3*n + 14*n - 53856 = 0. List the prime factors of n. 2, 3, 11 What are the prime factors of (-69 + 273)*(1 + 7)? 2, 3, 17 Suppose 0 = -5*c + 10, -2*j + 4*c = 7*c - 592. List the prime factors of j. 293 Suppose -2*o + 144 = -3*v - 2492, 16 = -4*v. What are the prime factors of o? 2, 41 Suppose -c + 3*s + 23 + 85 = 0, -5*s = -5. Suppose 27*l - 30*l + c = 0. What are the prime factors of l? 37 Suppose -1614 = -5*t + 5*v + 1936, -10 = 2*v. What are the prime factors of t? 3, 5, 47 Let s = -21 + 31. Let p = 12 - s. What are the prime factors of p? 2 Let r = -8812 + 12729. What are the prime factors of r? 3917 Let r(h) = -h**2 + 6*h + 3. Let f be r(7). Let p be 1/(-4)*f + 2. Let b = 14 - p. What are the prime factors of b? 11 List the prime factors of ((-36)/(-16))/((-21)/(-2380)). 3, 5, 17 Let x = -1329 + 1993. List the prime factors of x. 2, 83 Suppose -z = 7 - 14. Suppose -4*h = z*m - 4*m - 28, 4*h = -5*m + 36. Suppose l = 4*l, -4*l = m*v - 44. What are the prime factors of v? 11 Let o(l) = -l**3 + 1. Let b be o(-1). Suppose -3*t - 25 = b*z + 2*z, -5*t - 3 = -3*z. List the prime factors of (-90)/40*8/t. 2, 3 Suppose -4*o - 5*q = 255, -4*o + 23 = 3*q + 272. Let l = 87 + o. What are the prime factors of l? 3 Let q = 21 - 22. Let f(p) = 19*p**2 - p. What are the prime factors of f(q)? 2, 5 Let n(f) = -61*f - 91. List the prime factors of n(-9). 2, 229 Let k(u) = 181*u**2 + 13*u + 21. What are the prime factors of k(-2)? 719 Suppose 7*w = -2*w - 72. Let t = w + 24. List the prime factors of t. 2 Suppose -5*p + 88 = -142. Let w = -31 + p. Let b = 50 - w. List the prime factors of b. 5, 7 Let g(l) = l**3 - 5*l**2 - 2*l - 11. Let c(p) = -p. Let q be c(-6). What are the prime factors of g(q)? 13 Let h(t) = 10*t - 2. Let k be h(5). Let s = 119 - k. Let p = -43 + s. What are the prime factors of p? 2, 7 Suppose d - 320 + 104 = 0. Suppose 62*n - 61*n - d = 0. What are the prime factors of n? 2, 3 Suppose 9*o - 244 = 5*o. Let z = 37 + o. What are the prime factors of z? 2, 7 Suppose 2*d + 3*d = 0. Suppose 18 = 3*x - d*x. Suppose x = 2*s - 22. List the prime factors of s. 2, 7 Let l(x) = -x**2 + 2*x - 2. Let j be l(-4). Let n = j - -99. List the prime factors of n. 73 Suppose 2*d - 81 = -q, -4*q + 3*d + 194 = -86. Suppose -l - 16 = -q. List the prime factors of l. 3, 19 Suppose -5*d + 2*d - n + 2069 = 0, -4*n = 4*d - 2764. List the prime factors of d. 13, 53 Suppose -3*m - 25 = -8*m, 2*v - 3*m = 5551. List the prime factors of v. 11, 23 Suppose -5*b + 2*n + 5 = 4*n, -2*n - 1 = -b. List the prime factors of (15 + -28)/(b/(-5)). 5, 13 Let f = -9 - -14. Suppose f*z + 3*a - 1215 = 0, -3*z - 4*a + 733 = -3*a. Suppose 6*y - z = -0*y. List the prime factors of y. 41 Let u(i) = i**2 - 4*i - 16. Let b be u(7). Suppose -b*x - 3 = -118. List the prime factors of x. 23 Suppose 30*z = 25*z + 1480. Suppose 2*k + p - 194 = 0, 4*k - p - 104 - z = 0. List the prime factors of k. 3, 11 List the prime factors of -269*-2*(-4 - (-36)/8). 269 Let k be (18/(-12))/(-1 - (-9)/6). Let j(n) = n**3 + 5*n**2 + 4*n. List the prime factors of j(k). 2, 3 Suppose -2*w = -13 + 3. Let l(c) = 39*c - 23. What are the prime factors of l(w)? 2, 43 Let w = 816 + -502. Suppose 0*b + 5*u + 616 = 2*b, b - 4*u - w = 0. List the prime factors of b. 2, 149 Let v be ((-1026)/15)/((-12)/30). Let g = v - 106. Let l = 100 - g. What are the prime factors of l? 5, 7 Let h be (1 - 2)/((-4)/24). Let g be 89/h + (-4)/(-24). What are the prime factors of 1 + g + (6 - 2)? 2, 5 Suppose -3*o + 19 = 7. Suppose -3*k - s + 62 + 43 = 0, -2*s + 142 = o*k. List the prime factors of k. 2, 17 Suppose 0*b - 286 = -b. Suppose 0*x + b = 4*x - 3*j, 3*x + 4*j = 227. List the prime factors of x. 73 Let l(q) = 10*q**2 - 55*q - 470. What are the prime factors of l(-13)? 3, 5, 43 Let s(x) = -x**2 - 5*x + 3. Let m be ((-2)/(-5))/(3/(-45)). Let r be s(m). Let u(y) = 3*y**2 + y - 1. List the prime factors of u(r). 23 Suppose -166*k + 55860 = -147*k. List the prime factors of k. 2, 3, 5, 7 Let n be (-17)/15 + (-8)/(-60). Let x be 313 - n - (0 - -4). List the prime factors of x/(-15)*(-3)/2. 31 Suppose 0 = 4*a - 29 - 7. Suppose 5*r - 20 = 0, j + a*r = 4*r + 23. List the prime factors of (114/3 - j) + -1. 2, 17 Let k = 77 - -84. List the prime factors of k. 7, 23 Let w(x) = 2*x**2 - x + 3. Let s be w(5). Suppose q - 38 = s. What are the prime factors of q? 2, 43 Let i be -2 - (-4 + 4 + -2). What are the prime factors of 10*(i - 3/(-5))? 2, 3 Let j(t) = -508*t - 100. List the prime factors of j(-3). 2, 89 Let j(s) = s + 6. Let n be j(-4). Let x be n/(((-24)/(-15))/4). Suppose -1 = a + x*b - 25, -16 = -a - 3*b. List the prime factors of a. 2 Suppose -14*f + 10*f - 124 = 0. Let j = 33 + f. Suppose -p - 33 = -3*g + j*p, 5*g + 3*p = 55. List the prime factors of g. 11 Let y(o) = -2*o**3 + 7*o**2 - 6*o - 57. What are the prime factors of y(-8)? 7, 11, 19 Suppose -c + h = -45 - 27, 4*h - 280 = -4*c. Suppose 2*z = 0, t + 43 = 2*z + z. Let g = c + t. List the prime factors of g. 2, 7 Suppose -7 = -42*z + 43*z. Let o(j) = -10*j + 3. List the prime factors of o(z). 73 Let n = -15 + 19. Suppose -n*p + 735 = 23. List the prime factors of p. 2, 89 Let j be (-2)/((-11)/((-4565)/10)). What are the prime factors of (3 + j)/(18/(-27))? 2, 3, 5 Let b = -147 - 117. Let r = b + 386. What are the prime factors of r? 2, 61 Let t be ((-18)/27)/((-2)/534). Let f = t - 30. Suppose -4*a - z = a - f, -3*a = 5*z - 102. What are the prime factors of a? 29 Suppose -5*a - 173 = -2*t, -2*t + 7*t + 13 = -a. Let f = a - -18. Let i = f - -33. What are the prime factors of i? 2, 3 Suppose -4*n = n + 10, 14 = -2*w - 2*n. Let h(g) = -30*g - 15. Let l be h(w). What are the prime factors of (l/(-10) - 3)*-2? 3, 11 Suppose 20 = 4*c + 8, 3*r = -4*c + 42. Suppose r*b - 502 = -162. What are the prime factors of b? 2, 17 Let o(f) = -1 - 2 - 9*f + 3. Let k(g) = -g**3 + 10*g**2 - 2*g + 18. Let p be k(10). List the prime factors of o(p). 2, 3 Let v(b) = 2*b**2 + 19*b + 37. List the prime factors of v(13). 2, 311 Let j be ((-30)/9)/5*-318. Suppose 0 = s + 41 - j. What are the prime factors of s? 3, 19 Suppose -280 = 10*v + 300. Let j = 102 + v. List the prime factors of j. 2, 11 Suppose 4*c - 10 - 6 = 0. Suppose c*h + 4*x - 568 = 0, 132 - 2 = h - 5*x. Suppose -h = -5*j - 3*f, 0 = 5*j - 2*f - 96 - 69. What are the prime factors of j? 31 Let l be (0 + -13)*(7 - 8). Suppose -754 = -l*k - 0*k. What are the prime factors of k? 2, 29 Suppose -h - 3*k = -17, 3*k = 3 + 3. Suppose -2*t = -133 - h. What are the prime factors of t? 2, 3 Suppose 3*i + 5*a - 184 = 0, -2*a + 0*a + 128 = 2*i. List the prime factors of i/10*(-6 + 16). 2, 17 Suppose 5*f + 2*s = 77 - 20, 5*f + s = 61. Suppose 9*u - f*u = 24. What are the prime factors of -3*4/u + 27? 29 Suppose 0 = -2*c - 3*n + 1018, 2056 = 4*c + 3*n - 2*n. What are the prime factors of c? 5, 103 Let q be 2/(-10)*(8 - 13). Let o be (q + 1)/(26/(-91)). Let s = o + 52. What are the prime factors of s? 3, 5 Let x be (-9)/(-9) - (2 - 3). Suppose -3*f - m = -101, 2*f = -x*f + 5*m + 122. List the prime factors of f. 3, 11 Let u be ((-18)/(-8))/(4/(-16)). List the prime factors of u + 5 - -53*1. 7 Suppose 0 = -4*v - 2*v - 126. List the prime factors of (75/45)/((-1)/v). 5, 7 Let y = -15 + 11. Let i(f) = -15*f - 16. What are the prime factors of i(y)? 2, 11 Let c = 6629 - 4578. What are the prime factors of c? 7, 293 Let s(x) = 20*x + 1. Let r be s(-9). Let j = -49 - r. List the prime factors of j. 2, 5, 13 What are the prime factors of 17635/7 + (-32)/112? 11, 229 Let i(d) = -62*d + 33. Let c(m) = 21*m - 11. Let g(f) = -11*c(f) - 4*i(f). What are the prime factors of g(7)? 2, 3 Suppose 7*q - 2*q - 2675 = 0. What are the prime factors of q? 5, 107 Let q = -270 + 662. List the prime factors of q. 2, 7 Let o be -33*(40/12 - 5). Suppose -o = -2*d - 37.
{ "pile_set_name": "DM Mathematics" }
is the closest to -1? (a) v (b) -3 (c) 1/11 (d) 0.17 c Let r = 93 - 98.1. Let g = 0.5 - -4.5. Let x = r + g. Which is the closest to x? (a) 1 (b) 3 (c) 2/5 c Let d = -1.34 + 6.34. Which is the closest to -2/3? (a) d (b) -0.48 (c) -3 b Let w = -425 - -426. Let g = -7 - -12. Which is the nearest to -2? (a) g (b) 0.2 (c) w b Let t(f) = f**2 + 13*f + 14. Let i = -12 - 0. Let q be t(i). Which is the nearest to 2/9? (a) -2 (b) -0.1 (c) q b Let n = 24.37 - 24.57. Let u = -5.7 - -6. Which is the nearest to 1? (a) u (b) n (c) 2/9 a Let d = -18 - -20. Let j = -10 + 9.9. What is the closest to j in 0.4, -2, d? 0.4 Let r = 4 - 3.9. Which is the closest to r? (a) -1/6 (b) 14 (c) -2/3 a Let q = -1285 + 6402/5. Let o = q - -22/5. Which is the nearest to -1? (a) o (b) 5 (c) -1/2 c Let i = 85 - 171/2. Let q be ((-1)/3)/((-4)/72). Which is the closest to i? (a) -5 (b) -4/7 (c) q b Let w be 7 - (-3 - -2 - 0). Let g = w - 13. Which is the closest to 1? (a) 5 (b) 2/5 (c) g b Let d = 0.05 + -0.35. Let l = 223 - 667/3. Which is the closest to 1/8? (a) 0 (b) l (c) d a Let p = -0.0483 - 0.3517. Which is the closest to -1? (a) 10 (b) p (c) 1 (d) 2/11 b Let t = 81 + -80. Let n = -173 - -170. Which is the closest to t? (a) n (b) -0.1 (c) -0.4 b Let l = 29 + -29.2. Let q = 3.08 - 0.08. What is the closest to 0.1 in l, q, -4? l Let x be 3/(2/((-8)/(-15))). Let l = -259 - -262. What is the nearest to 0.1 in x, -1, l? x Let t = -4.8 + 0.8. Let f = -1/240 - -121/240. What is the closest to 1 in t, 3, f? f Let p = 27.8 + -28. Which is the nearest to 1.11? (a) p (b) -0.5 (c) -2/11 c Let f be ((-6)/(-7))/(15/350*5). What is the nearest to f in -0.2, -4/9, 4, 0? 4 Let v = -0.7 - 0. Let g = -2.7 - v. Which is the nearest to g? (a) 5 (b) 0.3 (c) -1 c Let s = 5 - 4. Suppose -12*l - 12 = -10*l. Let t(o) = o**3 + 7*o**2 + 7*o + 5. Let g be t(l). What is the closest to g in 0.1, 2, s? 0.1 Let h = 0 - 2. Let w be 2/7 - ((-1485)/(-126) - 12). Which is the closest to h? (a) -4 (b) w (c) 5 a Let j(h) = -h**2 + 5*h + 60. Let r be j(-6). Which is the closest to -3? (a) r (b) -3 (c) 0.2 b Let v(w) = -2*w**3 + 6*w**2 - 9*w + 30. Let d be v(4). Which is the closest to -1? (a) d (b) 1/2 (c) -2 c Let h = -0.35 - 1.95. Let y = 1.7 + 0. Let z = h - y. Which is the nearest to 1? (a) -2 (b) z (c) 0.05 c Let p = 0.1 + 2.3. Let l = -0.4 + p. Let c(s) = -s**3 + 27*s**2 - 28*s + 48. Let o be c(26). What is the closest to -0.2 in l, 4, o? l Let h = -1257 + 1181.02. Let f = 76 + h. What is the nearest to f in 2, -3/2, 2/7? 2/7 Let v = 0.0876 + 0.0124. Which is the nearest to -0.5? (a) -2 (b) -0.4 (c) -1 (d) v b Let l = 6 - 6.25. Let k = -4.75 + l. Let g = 1.3 + -0.3. What is the closest to g in 4, k, 0.1? 0.1 Let f = 5273/306 - 292/17. Which is the closest to 2/15? (a) -0.5 (b) f (c) -0.1 (d) 2/11 d Suppose -22 = 11*p + 11. Let h be 7 + (-1 + p)/2. Let y = -1.9 - -2. What is the closest to y in 2/3, 2, h? 2/3 Let y = -2.3 - -2. Let q = y + 0.9. Let k(r) = r + 19. Let p be k(-14). Which is the nearest to q? (a) -0.3 (b) p (c) 2/7 c Let t = 1601/3 + -535. What is the closest to -2/9 in -0.2, t, 4? -0.2 Let h = -0.06 + 0.06. Let t = 22 + -24.2. Let z = t + -0.8. Which is the closest to z? (a) h (b) 1 (c) 4 a Let o = -0.057 + 0.357. Let v = 19 + -13. Let n = 6 - v. What is the nearest to n in o, -3/4, -4? o Let m(z) = z**3 + 7*z**2 - 8*z - 5. Let q be m(-8). Let r be 0*((-25)/15 - (-16)/12). Which is the closest to 2? (a) 6 (b) r (c) q b Let m = -0.6 - -0.6. Suppose -t - 39 = 5*h, 75 = -4*t + 2*h - 59. Let u be (-7)/21 + t/(-30). Which is the nearest to m? (a) -2/13 (b) u (c) 2/19 c Let i be (-115)/138 + (-1)/6. Let k be ((-4)/(-102))/((-12)/36). What is the nearest to 2/5 in i, k, -2/15? k Let w = 199 - 197. What is the closest to -3/10 in -0.3, w, -5? -0.3 Let k be 455/39*2/14. Which is the closest to 1/2? (a) 0.2 (b) k (c) 0.4 (d) -5 c Suppose 3 = -3*q + 9. Let g(j) = j**2 - 4. Let w be g(q). Which is the closest to 1/12? (a) w (b) -2 (c) 3 a Let a = 197.5 - 199.2. What is the nearest to 0.1 in 5, -0.1, a, -0.3? -0.1 Let k = 10 + -5. Let x = -0.28 - 0.22. Which is the nearest to 0? (a) -2/17 (b) k (c) x a Let t = -0.376 + 0.476. Let r = 40 - 40.38. Let i = r + -0.02. Which is the nearest to t? (a) 3 (b) i (c) -0.1 c Suppose 0 = 2*v - 6*v + 16. Let y be -2 + 2 - (-2)/v. Let q = 1.027 + -0.027. Which is the closest to q? (a) 2 (b) -2/5 (c) y c Let y = -3.153 - -0.153. Which is the nearest to -1/2? (a) -1 (b) 1/6 (c) 9 (d) y a Let v = -692.9 - -693. What is the nearest to 1/13 in v, -3, 2/9? v Let z(v) = -v**3 + 2*v**2. Let y be z(2). Let i = 12 + -12.21. Let d = i + -0.09. Which is the closest to y? (a) 1 (b) 4 (c) d c Let j = 65.2 - 106. Let o = -41 - j. Which is the closest to o? (a) 1/5 (b) -5 (c) 3 a Suppose 4*c + c = 15. Let i = 151 + -149. Suppose 0*y + y - 1 = -i*r, 0 = 4*r + 3*y - c. What is the nearest to -0.1 in -0.4, 2/3, r? r Let g = -140 - -143. What is the nearest to g in -2, -4, -1.3? -1.3 Let p = -24.44 + 23.44. Which is the nearest to p? (a) 3/13 (b) 5 (c) 0.3 (d) -13 a Let b = -5 - 0. Let x = -2.6 - -2.5. What is the nearest to x in b, 2/7, 10? 2/7 Let q = 0.2 - -4.8. Let k = -232/5 - -46. Let n = -1.0563 + 0.0563. Which is the nearest to n? (a) q (b) 0 (c) k c Let h = -0.6 + 0.72. Let t = 1.07 - 3.19. Let i = t + h. Which is the nearest to i? (a) -0.3 (b) -4 (c) -0.1 a Let u be ((-10)/(-50))/((-4)/(-10)). What is the closest to u in -5, 0.2, -3? 0.2 Let s = -355/484 - 2/121. Let p = 74/1425 + 4/75. What is the closest to 3/10 in p, s, -1? p Let h = 3 - 3. Let f = 15.6 - 15. Let t = f - 1.6. Which is the closest to t? (a) 3 (b) h (c) 2/5 b Let b(j) = -j**2 + 5*j + 83. Let c be b(-7). What is the nearest to 1 in -0.5, c, 0.3, -45? 0.3 Let s = 326 + -325.8. Let j = -5.1 - -5. What is the closest to j in s, 2/9, 0.1? 0.1 Let p be -9 - (-255)/25 - 4/(-5). Which is the closest to 0? (a) -1/4 (b) 0.1 (c) -5 (d) p b Let n = -67.7 - -0.7. Let p = -67.1 - n. Which is the nearest to p? (a) -0.35 (b) 3 (c) 0.4 a Let y(j) = j**3 - 17*j**2 + 49*j + 39. Let t be y(13). Which is the closest to t? (a) -32.7 (b) 4/7 (c) -0.2 c Let o = -1766 - -1763. Let l = -0.2 + 2.2. Which is the closest to 0.1? (a) o (b) l (c) -2 b Let k(l) = -l + 1. Let u(t) = -1. Let w(z) = -k(z) - 3*u(z). Let y be w(2). What is the closest to 2 in 5, 1, y? 1 Let p = -2.6 - -2.9. Let k = -265 - -261. Which is the nearest to p? (a) -6 (b) 5 (c) k c Let n = 0.17 - 0.02. Let m = 0.05 + n. Let y = 1/94 + -49/188. Which is the closest to y? (a) 1 (b) -1 (c) m c Let o = 325.9 - 330.9. Let x = 0 + 10. Which is the closest to x? (a) 0.1 (b) o (c) 1/6 c Suppose -42 = 13*i + 10. Let u be (i/16)/((-1)/2). Suppose -4*n = -n + 6. Which is the closest to u? (a) -3/2 (b) 0.3 (c) n b Let w = -601/104 + 45/8. What is the nearest to w in 2, 0, -5, -1/3? 0 Let y be (0 + 1)*(-1)/3. Let q = -25.57 + 27.4. Let b = q - 1.83. What is the closest to b in 1/4, y, 2? 1/4 Let o(y) = 2*y**2 - 5*y - 7. Let q be o(5). Let g be (2/q)/(2/(-6)). Let l(s) = s + 15. Let p be l(-11). What is the closest to 0 in 2, g, p? g Let o = 2148 - 2148.1. Which is the nearest to o? (a) -0.5 (b) 4 (c) -0.3 (d) 2 c Let y = -36 - -36. Suppose 4*z = -2*n + z + 4, z - 3 = n. What is the closest to y in 0, n, 0.4? 0 Let d = 17/33 + -1/66. Let p = 20 + -20.1. Which is the nearest to -0.1? (a) p (b) d (c) -2/11 a Let n(i) = -i**3 + 11*i**2 - i + 9. Let w be n(11). Let g be -1*(-7)/(-5) + 28 + -26. Which is the closest to w? (a) 5/4 (b) 4 (c) g c Let z = -4 - 1. Let i = z + 9. Let x be (-2 - -7) + (-259)/49. What is the nearest to x in i, 0.2, -0.1? -0.1 Let j = 1.89 - 10.89. Which is the closest to 1/6? (a) 1 (b) 1/11 (c) j b Suppose 0 = -10*j + 12*j - 6. Let r = -1.3 + 3.3. Which is the nearest to 1? (a) -6 (b) r (c) j b Let h = 53 - 21.5. Let i = -32 + h. Which is the closest to 0.2? (a) -1 (b) -1/6 (c) i b Suppose -8 = -4*y, -5*y = -5*f + 2*f + 2. Let w = f + -1. Suppose -r - w*r = 0. Which is the nearest to 0.1? (a) 5 (b) 1 (c) r c Let k be 11/(11/2) + -63. Let d = -1039/17 - k. Which is the nearest to 1? (a) -1/22 (b)
{ "pile_set_name": "DM Mathematics" }
+ 0 + 4*t + 3*t**4). -9*t**5 - 12*t**2 + 3*t Expand (4*l - 5*l - l + l**2)*(13*l + 21*l + 0*l). 34*l**3 - 68*l**2 Expand (-1 + 1 + 1 - 1 + 3 - 1 + 1 - 3 + 4 + 2 - 3 + 0 + (0 + 1 + 1)*(4 - 3 - 2))*(2*n**5 - 2*n**5 + 2*n**5). 2*n**5 Expand -4*k**3 - k**3 + 4*k**3 + (-k**2 - k**2 + k**2)*(6*k - 3*k - 2*k) - 2*k**3 - 3*k + 3*k + (0*k**2 - 6*k**2 + 4*k**2)*(-89*k + 23*k - 103*k). 334*k**3 Expand (4*l**2 + 0*l**2 - 7*l**2)*(9*l + 0*l**2 - 6*l - l**2). 3*l**4 - 9*l**3 Expand (4*c**2 + 3*c**2 + 0*c**2)*(0 + 0 + 2*c)*(0 - 5 + 3). -28*c**3 Expand (3 + 4 - 6)*(-5*n + 5*n + 6*n**2 + 0*n + 2*n**2 + 0*n + (3*n - 3*n + 2*n**2)*(0 + 0 + 2) - 2*n**2 + 1 - 1 - 4*n**2 + 4*n**2 - 2*n**2). 8*n**2 Expand -o**3 + 2*o**3 + o**3 + 2*o**3 - o**3 - 5*o**3 - 2*o**3 - 2*o**2 + 2*o**2 + o**2 - o**2 - o**3 + (-o + o + o)*(2*o - 2*o + 2*o**2). -3*o**3 Expand -100 + 100 - 6*n**3 + (0*n + 0*n + 2*n**2)*(-3*n + 0*n + n). -10*n**3 Expand 0*l**2 + l**2 - 3*l**2 + (-2 + 0 + 0)*(-4*l**2 + 9*l**2 + 4*l**2). -20*l**2 Expand (-2*r + r + 0*r)*(3*r**3 - 2*r**2 + 5*r**2 - r**2). -3*r**4 - 2*r**3 Expand -2*o**2 - 6*o**2 + 5*o**2 + (-2*o + o + 0*o)*(4 - 2*o - 4) + (0 + 2*o + 0)*(2*o + 2*o - 2*o). 3*o**2 Expand 7*o**4 - 15*o**4 - 17*o**4 + (0*o**3 + 3*o**3 - 5*o**3)*(-o + 2 - 2). -23*o**4 Expand (2*s**4 + s**4 - 2*s**4)*(3*s - 43*s + 6*s). -34*s**5 Expand ((-u - 3*u + 5*u)*(-4*u + u + u) - 4*u**2 - u**2 + 4*u**2)*(0 + 2*u**2 + 0)*(-2 - 2 + 5). -6*u**4 Expand (7 - 13 - 19)*(0*p - p + 2*p). -25*p Expand -1 - 2*a**5 + 1 + 2*a**5 + a**5 - a**5 + (a**4 - 2*a**3 + 2*a**3)*(2*a + 1 - 1) + 2*a**5 + 0*a**5 - a**5 + (-4*a**2 + 5*a**4 + 4*a**2)*(2*a + 0*a - 3*a). -2*a**5 Expand 2*t**3 + 3*t - 3*t + (-4 + 5 + 1)*(0*t**3 + 4*t**3 - 3*t**3). 4*t**3 Expand (5*c**2 - 5*c**2 + 2*c**3 + 5)*(2*c**2 - 3*c**2 + 2*c**2 - 1 - c**2 + 1 + (2*c + 0*c - 3*c)*(-c + 3*c - c)). -2*c**5 - 5*c**2 Expand (-3 + 1 + 1 + 3*c)*(0*c**2 + 0*c**2 - 3*c**2). -9*c**3 + 3*c**2 Expand -1226*b + 1226*b + 2*b**4 + (-4*b**2 + b**2 + b**2)*(2*b**2 + 0 + 0) + 1 - b**4 - 1 - 2*b - 2*b**4 + 2*b. -5*b**4 Expand (-p**2 + 0 + 0)*(5*p - 4*p - 2*p) + 3 - 3 - 2*p**3 + 54*p**3 - 24*p**3 - 36*p**3 + (-p**3 - 5*p**3 + 4*p**3)*(0 + 0 - 2). -3*p**3 Expand (-m**2 - 1 + 1)*(0 + m**2 + 0) + 18*m**4 - 27*m**4 + 7*m + 13*m**4. 3*m**4 + 7*m Expand (2*l - 3*l + 3*l)*(2 - 2*l - 2 + (-l + 3 - 3)*(-5 + 6 - 4)). 2*l**2 Expand (0 + 0 - 2*c**2)*(4*c - c - c + (-1 - 1 + 4)*(-c + 3*c + 0*c)). -12*c**3 Expand (0*v**3 + 0*v**3 + 2*v**3)*(-v**2 + 2*v - 2*v) + (-4*v**5 + 4*v**5 - 2*v**5)*(0 - 3 + 5). -6*v**5 Expand (-2*r**2 + 2*r + 2 + 4*r**2 + r**2)*(6*r**2 - 16 + 16). 18*r**4 + 12*r**3 + 12*r**2 Expand -9*t**3 + 26*t**3 + 15*t**3 + (-3*t + 2*t + 3*t)*(-t**2 - 2*t**2 + 2*t**2) + t**3 - 2*t**3 - t**3 + 0*t**3 + 2*t**3 - 3*t**3. 27*t**3 Expand (0*d + 5*d + 0*d)*(3*d + 2*d**2 - 3*d) + 0*d**3 + 0*d**2 - 2*d - 2*d**3 + 2*d**2. 8*d**3 + 2*d**2 - 2*d Expand 3*q**5 - 2*q**5 + 0*q**5 + (-4*q**4 + 23*q**4 + 5*q**4)*(-1 - 3*q + 1). -71*q**5 Expand (1 - 2*f**2 - 1)*(0*f**2 + 4*f**2 + 5*f**2)*(f - 3*f + 0*f). 36*f**5 Expand (-3*v - 5*v + 6*v)*(7 + 6 - 6)*(0 + 1 - 3)*(-2*v + 2*v**2 + 2*v). 56*v**3 Expand (-3*h + 3*h - 2*h)*(1 + 0 + 1) - 4*h - 3*h - 1 - h. -12*h - 1 Expand -2*o**3 - o**3 + 2*o**3 + (o**2 + o**2 - 3*o**2)*(-1 + 1 + o) - 2*o + 2*o - 2*o**3. -4*o**3 Expand (2*t**2 - 3 + 3 + (-3 - 5*t + 3)*(0 + 0 - t))*(t**3 - 2*t**3 + 2*t**3). 7*t**5 Expand (-2*m**2 + 2*m**2 + m**3)*(-2*m - m + 5*m) + 3*m**4 - 5*m**4 + 4*m + 0*m**4 + (4*m - 4*m + 2*m**3)*(-m + 3 - 3). -2*m**4 + 4*m Expand 3*y + 0*y - 2*y + (-4 + 4 + y)*(4 - 3 + 0) - 3*y - 2*y + 4*y + (-3 + 3 + 4*y)*(-7 + 4 - 1). -15*y Expand (-9*q**2 + 0*q**2 + 0*q**2)*(-3 + 3 + 2)*(q - 7*q + 0*q). 108*q**3 Expand (-3*t + 2*t**2 + 3*t)*(-19*t - 13*t + 24*t + 2)*(4 + 0 - 3). -16*t**3 + 4*t**2 Expand -3*n**2 + 0 + 0 + (1 - 9 + 1)*(-2*n**2 - 2*n**2 + 2*n**2). 11*n**2 Expand 2*g**3 - 2*g**3 + g**4 + (0*g + 0*g + g**2)*(2*g - 2*g + 3*g**2) + (-41*g**2 + 1436*g - 1436*g)*(-2*g**2 + 4*g**2 + 0*g**2). -78*g**4 Expand -c**3 - c**3 + c**3 - c**3 - 16*c + 2*c**3 + 17*c + (-1 - 2 - 1)*(3*c**2 - 2*c**3 - 3*c**2). 8*c**3 + c Expand (k - 1 + 1)*(-34 + 12 - 7 - 30). -59*k Expand ((1 - 1 - j)*(-3 - 1 + 2) - j + 3*j + 0*j - 3*j + 2*j - j)*(12 - 12 - 3*j). -6*j**2 Expand (0*a - a**4 + 0*a)*(-14 + 3 + 25)*(-3 + 1 + 3). -14*a**4 Expand 3*i - 6*i + 4*i + 6*i + 5*i - 3*i + (-4 + 2 + 0)*(-i - 3*i + 2*i). 13*i Expand (-8 - 10*m + 8)*(4 - 3 + 0)*(0 - 2 + 1). 10*m Expand (-45 + 45 + 5*k)*(3*k - k**2 - 3*k + (-4*k + 2*k + k)*(-k - 3*k + 2*k) + 2 - 2 + 2*k**2 + k + k**2 - k - 2*k + 2*k - 2*k**2 + 2 + 2*k**2 - 2). 20*k**3 Expand (-2 - 17 + 1)*(g**3 + 2*g**2 - 4*g**2 + 0*g**3). -18*g**3 + 36*g**2 Expand (4*t - 2*t - 4*t)*((-2 + 3 - 2)*(-1 - 2 + 4) + 5 - 4 + 1 + 1 + 3 - 5 + 2 - 1 + 0 + 8 - 12 - 9). 24*t Expand (3 - 3 + 4)*(-2 + 4*v + 2*v - 4*v + 4*v - 3*v + v + (1 + 2*v - 1)*(4 + 3 - 5) + 0*v + 2*v - 4*v). 24*v - 8 Expand (3*c**2 - 3*c**2 - c**2)*(-3 - 1 + 1)*(0 + 3 - 2)*(-3 + 4 - 5). -12*c**2 Expand (-2*d**3 + d - d)*(2 - 2 - 1)*(-4 + 4 - 3). -6*d**3 Expand (3*h - 2*h - 2*h + (5 - 4 + 1)*(-2*h + 0*h + 4*h))*(0*h - h - h). -6*h**2 Expand (v - 2*v - 2*v)*(2 + 0 - 1 + (-3 + 0 + 6)*(-1 + 0 + 2)). -12*v Expand (2*b**2 + 2*b**3 - 2*b**2)*(-b - 7*b + 2*b)*(-4 - 2 + 2) - b**4 + 0*b**2 + 0*b**2. 47*b**4 Expand (-3*x + 5*x - 3*x)*(0 + 3 - 1) + (6 - 3 + 0)*(-3*x + 2*x - 2*x). -11*x Expand (-y**3 + 5*y**3 - 2*y**3)*(3 - 6 + 1) + (-4*y + 3*y + 0*y)*(0*y**2 + 4*y**2 - 3*y**2). -5*y**3 Expand (2 + 1 - 2)*(-3*h + h + 3*h) + (2 - 2 - 2)*(2*h - h - 2*h). 3*h Expand (z + z + 0*z)*(-1 - 1 + 0) - 6*z - 34 + 34 + (-2*z - z + 2*z)*(1 - 4 + 1). -8*z Expand (-2 + 5 - 1)*(2 - 1 + 9)*(p + 0 + 0). 20*p Expand (1 - 1 - 1)*(10*p**3 - 5*p**3 - 10*p**3)*(-4*p**2 + 3*p**2 + 1 + 3*p**2). 10*p**5 + 5*p**3 Expand (r**2 - 4*r**2 + 4*r**2)*(-3*r + 6*r - 2*r)*(-2 - 1 - 2). -5*r**3 Expand (-2*d - 3*d + 6*d)*(75*d**4 + 121*d - 121*d). 75*d**5 Expand -c**2 + 0*c**2 - 10*c**3 - c**2 + (-c + 2*c**3 + c)*(-5 + 0 + 4). -12*c**3 - 2*c**2 Expand (1 + 1 - 1)*(c + 4 - 4) + 421 - 421 - 30*c. -29*c Expand (215 + 11*p - 215)*(p - p + p)*(-2*p + 3*p + p). 22*p**3 Expand (8 - 8 - 8*f)*(0*f**2 - 4*f**2 + f**2). 24*f**3 Expand (-6 + 4*y + 6 + (3*y + y - 3*y)*(5 - 1 - 2))*(0 + 1 - 3). -12*y Expand (-2 + 4 - 1 + (-1 - 1 + 3)*(-2 - 2 + 2))*(-2*y**5 - 2*y**5 + 2*y**5). 2*y**5 Expand (-3 + 4 - 3)*(2*o**5 + 0*o**5 + 0*o**5) - 3 + 69*o**3 - o**5 - 69*o**3. -5*o**5 - 3 Expand -2*u**4 + 50*u + u**4 - 14*u + (2 - 2 + u**2)*(u**2 + u**2 - 4*u**2). -3*u**4 + 36*u Expand 0*h**5 + 0*h**5 + 5*h**5 + 0 + 0 + h**5 + (4 + 1 - 6)*(-12*h**5 + 27*h**5 - 11*h**5). 2*h**5 Expand -2*s**2 - 2*s**2 + 2*s**2 + (5*s + 2*s - 5*s)*(-1 - 3*s + 1). -8*s**2 Expand (5*z**3 - 4*z**3 - 2*z**3)*(3*z + 2*z - 4*z) + (11*z**2 - 4*z**2 + 2*z**2)*(-4*z + 2*z + z)*(7*z - z - 3*z). -28*z**4 Expand (64 - 12*f - 64)*(2 + 4 - 4). -24*f Expand (5*n**2 - 5*n**2 + 3*n**3)*(3 - 3 - n**2) + (2*n**3 + 2 - 2)*(n**2 + 3*n - 3*n) + 0*n**5 + n**5 - 4*n**5. -4*n**5 Expand -3*l**2 - l**2 + 3*l**2 + (1 - 2 + 2)*(0 + l**2 + 0 + (-l + 0*l + 0*l)*(-6*l - 8*l + 10*l)). 4*l**2 Expand (26 + 39 - 23)*(0 - p + 0). -42*p Expand (-21*i**3 + 11*i**3 + 5*i**3 + 3)*(0*i**2 + 3*i**2 - i**2). -10*i**5 + 6*i**2 Expand (-6*o + 3*o - 5*o)*(-2*o**2 + 3*o**2 + o**2) + 1 + 2*o**3 - 1. -14*o**3 Expand (0 - 1 + 4)*(22*i + 2*i + 10*i). 102*i Expand (-4 + 4 + 2*l)*(5 + 1 - 4)*(0*l - l + 2*l). 4*l**2 Expand (2*q**4 + 2*q - 2*q)*(-2 + 4 - 3) + 2*q**4 + 4*q**4 + 0*q**4. 4*q**4 Expand (x**3 - 5*x**3 - 2*x**3)*(-94 - 25*x + 94). 150*x**4 Expand (1 - 1 - 5*h**2)*(-2*h + 0*h + 4*h + (3 - 3 - h)*(4 - 3 + 3)). 10*h**3 Expand (s - 4 + 4)*(5*s + 4*s - 4*s) - 6*s**2 - 12*s**2 + 6*s**2. -7*s**2 Expand (-1 + 2 - 2)*(0*j + 2*j - 24 + 25). -2*j - 1 Expand (-3 - j + 3)*(-2 + 2*j - 7 + 8) + (3 - 5 + 1)*(3*j**2 + 0*j + 0*j). -5*j**2 + j Expand (-9*d - 7 + 7)*(3 + 7*d - 4 + 3*d). -90*d**2 + 9*d Expand 0*b**2 - 2*b**2 + 3*b**2 + (3 - 3 - b**2)*(-2 - 2 + 2) + (4 + 2 - 2)*(-1 + 1 + b**2). 7*b**2 Expand (14 + 0 + 0)*(3*q**2 - 3*q**2 - 4*q**3). -56*q**3 Expand (3*r + 0 + 0)*(82*r - 2 + 6 - 74*r). 24*r**2 + 12*r Expand (5 - 2 - 4)*(-84 + 17*o**3 + 84). -17*o**3 Expand (-6*a + 2 + 6*a**2 + 5*a**2 - 13*a**2)*(-5 + 3 + 0). 4*a**2
{ "pile_set_name": "DM Mathematics" }
. Let d be t(2). Suppose 6*c = -d - 20. Let x(p) = 38*p**2 - 4*p + 5. Is x(c) composite? True Let h = -18 + 18. Suppose 5*w - 9680 = -0*w + z, h = -w - 4*z + 1915. Let n = 3052 - w. Is n a prime number? True Let k = 43 - 27. Suppose -s = 3*p - 10, 0 = -4*s + 2*s + 3*p - k. Is (-2 + -584)*1/s prime? True Suppose -3*c + 4432 = -c + u, 2*u - 8 = 0. Let f(s) = s**3 + 15*s**2 + 8*s - 23. Let b be f(-13). Suppose -c - b = -5*d. Is d prime? False Let z(a) = -a + 11. Let h be z(0). Let v = h + -40. Let m = -18 - v. Is m composite? False Suppose s = 7*s - 12. Suppose -s*o + 5*h = 340 - 1254, 5*o - 4*h = 2319. Is o prime? True Let v = -115 - -117. Suppose -4*f + 90 = -f. Suppose 0 = -v*j + 16 + f. Is j a composite number? False Let j = 3184 - 1823. Is j a composite number? False Is (11/33)/(19886/9942 + -2) prime? True Let f = 24 - 18. Suppose f*i + 0*i = 5274. Is i a composite number? True Let c be 3 - 0 - (0 - 1). Suppose 4*y = 5*d - 2734, c*d - 2*y = -6*y + 2216. Let b = d - 371. Is b a prime number? True Suppose -3*u + 1163 = -2*t, -4*u + 0*u + 5*t = -1539. Is u prime? False Let x = 5 - 1. Let g be (2 - 12/8)*x. Suppose 530 = g*z + 3*z. Is z a prime number? False Let p(j) = j - 1. Let l(a) = -618*a. Let z(n) = l(n) + 2*p(n). Is z(-1) a composite number? True Let t(r) = r**3 + 3*r**2 - 10. Let f be t(-2). Suppose j + 127 = 2*j. Let g = f + j. Is g a composite number? True Let x = -2 + 7. Suppose -2*s = x*a - 2, 3*s = -a + 3 - 0. Suppose u - 223 - 250 = a. Is u composite? True Suppose 0 = 2*g + 3*z - 38 - 108, -5*z - 86 = -g. Suppose 0 = 5*c - 99 - g. Let j = -2 + c. Is j composite? True Let j be 4/(-6) - 4/((-48)/(-1108)). Let k = 1084 + j. Is k a composite number? False Let q = 6 + -1. Suppose -q*r - d + 390 = -6*d, 0 = 4*r + 2*d - 300. Suppose -280 = -4*z + r. Is z a prime number? True Suppose 8*h - 6*h + 430 = 0. Let n be 4/2 - 3 - h. Let b = n + -96. Is b a composite number? True Suppose -s + 2*a = -7, 0 = -3*s - 0*s + 5*a + 19. Suppose -s*l + 0*l = -5541. Is l a composite number? False Suppose 5*u + 2242 - 21312 = 0. Is u prime? False Suppose -10*s - 5*d - 7945 = -14*s, -s - 4*d + 1981 = 0. Is s a composite number? True Suppose 22*r - 159420 + 15518 = 0. Is r a prime number? False Let m be (4122/(-36))/(((-3)/(-2))/(-3)). Suppose 5*n - 6164 = -m. Is n a prime number? True Let s(p) = 10 + 0 - p - 7. Let y be s(4). Is 62 - 2 - y - 2 a composite number? False Suppose -982 = 2*z - 7*g + 3*g, 0 = 2*z - g + 982. Is (z/(-4))/(8/32) composite? False Suppose -6 = l - 3. Is (646 - -1)*l/(-15)*5 a composite number? False Let p be (-4 + -2)/((-6)/(-4)). Let q(j) = 7*j**3 + 9*j**2 - j - 1. Let o(a) = -3*a**3 - 4*a**2. Let u(v) = p*q(v) - 9*o(v). Is u(-5) a prime number? True Let p(w) = w**3 + 2*w**2 - 4*w - 12. Let i be p(-6). Let d = i - -226. Is d a composite number? True Let f = 7 - -1. Suppose 7 = q + 4*u - f, -3*q = 3*u - 18. Suppose -2*p = q*l - 295, 3*p + 4*l + 153 = 4*p. Is p composite? False Let d(r) = 28*r**3 - 6*r + 5. Let v be d(4). Let i = v - 422. Is i prime? False Suppose 0 = -4*q - 5*x + 1300, -2*q + 3*q + 3*x - 332 = 0. Let b = -65 + q. Suppose -5*u + b = -530. Is u composite? False Suppose 0 = -0*u - 2*u + 70. Suppose -2*x = -w + 6, 5*x = -w + u - 1. Is 597/4 + w/(-56) a prime number? True Let z be (-6)/(-18) - 33/(-9). Suppose 755 = 3*n - z*j, 6*n + j - 1266 = n. Is n composite? True Let t(z) = z**2 + 10*z + 12. Let p be t(-9). Suppose p*w = -4*x + 93 + 146, 0 = 5*w + 3*x - 413. Is (w/(-3))/((-6)/18) a composite number? True Let g = 145 + -137. Suppose -z - 2779 = -g*z. Is z a prime number? True Let i be 36/(-15)*(-20)/8. Suppose 0 = i*p - 5*p - 6. Suppose 3*n + 249 = p*n. Is n a composite number? False Suppose -4*i - f - 32 = -5, 3*f - 31 = 4*i. Let j(g) = g**2 + 7*g - 1. Let k be j(i). Is k/(-2 - 183/(-93)) composite? False Let n = -4485 + 7799. Suppose 4*d - y - 48 = n, -y + 1684 = 2*d. Is d a prime number? False Let i = -4252 - -6431. Is i composite? False Let f = 520 + -309. Is f prime? True Suppose -5*a + 17*h - 18*h + 8459 = 0, 5*a + 4*h - 8471 = 0. Is a a prime number? False Let d(w) = w**2 - 3*w - 6. Let j(f) = -4*f**2 + 8*f + 19. Let o(p) = 7*d(p) + 2*j(p). Let y be o(-3). Suppose y*n - 191 = 3*h, 3*n - 5*n - h = -179. Is n prime? False Is 10 + (-3)/1 + 16326 a prime number? True Let d(q) = -2*q**3 + 12*q**2 - 23*q - 39. Let b(m) = m**3 - 6*m**2 + 11*m + 19. Let r be (-43)/(-5) - 4/(-10). Let p(y) = r*b(y) + 4*d(y). Is p(7) prime? True Let v(m) = 4*m**2 - 67*m - 23. Is v(24) prime? True Suppose -10*y + 14*y - 40 = 0. Suppose -y*s = -14*s + 532. Is s a prime number? False Suppose -54*u - 29976 = -62*u. Is u a prime number? False Suppose -8*x = -13*x + 80. Suppose 5*t = t + x. Suppose i - t*i + 993 = 0. Is i a prime number? True Let g(f) = -2*f**2 - 5*f - 4. Let b be g(-2). Let r(d) = 65*d**2 - 2*d + 1. Is r(b) prime? False Let m = -2051 - -4698. Is m prime? True Is 502*(-117 - 1)/(-2 + -2) a prime number? False Suppose 10 = f + 34. Let o = 24 + f. Is (o + -7)*(-8 + 1) composite? True Let y be (891/18)/(2/12). Suppose 2*m - y = -m. Suppose 435 = 3*g - 3*x, g - m = -x + 54. Is g prime? True Let f(h) = h**2 - 12*h - 13. Let d be f(13). Suppose d = -4*y + 3*y - 601. Let s = 860 + y. Is s a composite number? True Suppose -1043 = -4*c + 3*c. Is c composite? True Let x = 5532 + 2625. Is x composite? True Let f(z) = -17*z + 11309. Is f(0) a composite number? True Let r(t) = -t**2 + 6*t + 8. Let b be r(7). Is 4 - b/(5/(-9725)) prime? True Let l(o) = 251*o + 7. Suppose -8 = -18*w + 14*w. Is l(w) prime? True Let i = -41 - -36. Is (1674/135)/((-1)/i) a composite number? True Let a = -169 + 1214. Suppose 4*l - 836 = -0*l + 3*j, 5*l = 5*j + a. Let o = -46 + l. Is o prime? True Let l(n) = -n**2 + 2*n - 6. Let k be l(0). Is 5968/24*k/(-4) prime? True Let l(x) = 722*x + 7. Let q be (4/5)/((-46)/(-115)). Is l(q) prime? True Let f(r) = -213*r - 4. Let l(k) = -1064*k - 20. Let c(j) = -11*f(j) + 2*l(j). Suppose 0 = -o + 2*o + 5*u + 22, -5*u = -o + 28. Is c(o) prime? False Let n be (-1)/2*(-10 + 2). Suppose -n*t = -7*t + 12. Suppose 2*u - 283 = g + 2*g, g = t*u - 591. Is u composite? False Suppose -11*c - 824 = -7743. Is c a prime number? False Let t(i) = 8885*i**2 - 3*i - 13. Is t(-3) composite? True Let u(h) = 21*h**2 - 8*h + 134. Is u(-13) a prime number? False Let x = 9614 - 3197. Is 0 + 1/4 + x/12 composite? True Suppose -2*g + 5*p - 9 = 1, -5*g - p = -2. Suppose g = 3*a - 0*i - i - 38, 2*a - 4*i - 42 = 0. Is a prime? True Let a be ((-13)/(-4))/((-7 + 3)/(-80)). Is a - ((-48)/20 + 4/10) a composite number? False Let t = 22 + -16. Suppose 3*o + 105 = t*o. Is o a composite number? True Is ((-38)/(-190))/(1/33095) a composite number? False Let h be 1/(2/(-4)*1). Let f = -1 - h. Is f/((-1)/((-1317)/3)) a composite number? False Let l = 12 + 79. Let n = l + -8. Is n composite? False Suppose 0*t = 4*t - 60. Let a(j) = -201*j**2 - 10*j + 5. Let b be a(8). Is (-8)/(-20) - b/t a prime number? True Suppose -5*u - 32 = -22. Let n be (1 - (4 + -2))*u. Suppose 0*p = -n*p + 586. Is p a composite number? False Let f be ((-1)/2)/(4/(-40)). Suppose -f*z - 75 = -1810. Is z a composite number? False Suppose -4*q - 909 + 5957 = 0. Suppose 10*n - 9*n = q. Is n a composite number? True Let v be 3756/9 - 1/3. Let o = -38 + v. Is o a composite number? False Let y be -1 + 2435 - (-3 + 0). Suppose 3*x = -2*a + a + y, -5*a = 3*x - 2441. Suppose 7*l = 3*l + x. Is l composite? True Suppose -x = -323 + 1. Suppose -4*k - x = -11*k. Is k prime? False Let s(g) = -g**3 - 5*g**2 + 2*g + 6. Let m be s(-5). Is 2/(-2*m/60) composite? True Let w = -8388 - -15715. Is w prime? False Let a(s) = -s**2 + 5*s - 4. Let b be a(3). Suppose 3*y + 2*z - 2 = -6, -b*y - 21 = 5*z. Is (4 - y)*(-1645)/(-10) prime? False Suppose -77692 - 147073 = -5*p + q, 4*p - 2*q - 179812 = 0. Is p prime? True Let n(b) = b**2 + 4*b + 7. Let x be n(-3). Suppose -5*a - 16 - 4 = 0, 3*a + 1444 = x*i. Is i a prime number? False Suppose 0 = -3*y + 8868 + 4905. Is y a prime number? True Let f = 9 - 6. Let g be -1 + 1 + 1 + f. Suppose -4*u + 8 = g*w, -2*u - 4*w - 3 - 3 = 0. Is u a composite number? False Suppose 0 = 218*t - 211*t - 51247. Is t a composite number? False Suppose 4*q - 1 = 4*v + 3, 4*q + 3*v = 11. Suppose
{ "pile_set_name": "DM Mathematics" }
4323114 In base 7, what is -5 - 1552552? -1552560 In base 4, what is -11 + -1022002320? -1022002331 In base 8, what is 24635 - -3? 24640 In base 8, what is -151 + 304? 133 In base 6, what is -505054 - 4? -505102 In base 4, what is 102 - 320203? -320101 In base 6, what is -1 - -25042202? 25042201 In base 5, what is 410 - -313320? 314230 In base 8, what is 171410 - 1? 171407 In base 15, what is -1b12 + 1? -1b11 In base 7, what is 154606 - -1? 154610 In base 6, what is 21433 - 32? 21401 In base 6, what is 2525 - -1023? 3552 In base 5, what is 2 + 3142231? 3142233 In base 9, what is 172 + 105? 277 In base 11, what is -138 + -616? -753 In base 13, what is 301 + 23? 324 In base 4, what is 1 + -313010222? -313010221 In base 13, what is 0 + 26a22? 26a22 In base 5, what is 3204103 + -412? 3203141 In base 5, what is -2421 - -30? -2341 In base 4, what is 2313 + 1012? 3331 In base 2, what is 101 - -100100001101011011? 100100001101100000 In base 3, what is 2202 - 200120? -120211 In base 8, what is 3 - 104111? -104106 In base 16, what is -16 - 1001? -1017 In base 16, what is -c7ee + -b? -c7f9 In base 8, what is 1433 - -572? 2225 In base 7, what is -4045 - -1? -4044 In base 11, what is -20 + -18? -38 In base 7, what is 5 - -33035? 33043 In base 13, what is -1598 + 11? -1587 In base 13, what is 21 + -2697? -2676 In base 5, what is -1103 + -43333? -44441 In base 5, what is 3012043 + -2? 3012041 In base 16, what is -7ce - 115? -8e3 In base 11, what is -4 + 154245? 154241 In base 3, what is 1 + 1101201012? 1101201020 In base 3, what is 11 + -1002122? -1002111 In base 13, what is -307b + 5? -3076 In base 5, what is 3 + 1221414? 1221422 In base 4, what is -10110010 + -1? -10110011 In base 6, what is 1301 + -103? 1154 In base 4, what is -311 - 2310330? -2311301 In base 5, what is -11 - 22214? -22230 In base 14, what is -5 + a6967? a6962 In base 2, what is -100 - -1000101000101101000? 1000101000101100100 In base 9, what is -10 + -1206? -1216 In base 6, what is 14014200 + -4? 14014152 In base 13, what is 27b + 4aa? 758 In base 6, what is -2043322 + 0? -2043322 In base 10, what is 12 - 15693? -15681 In base 4, what is 3 + -101323103? -101323100 In base 16, what is -1 + 2790? 278f In base 13, what is 3 + -26b9? -26b6 In base 6, what is 23 - 13204? -13141 In base 10, what is 2 + 6473? 6475 In base 4, what is 0 - 22023002? -22023002 In base 15, what is -243 + -10? -253 In base 14, what is a238 + -8? a230 In base 5, what is 10 - 42124201? -42124141 In base 4, what is 0 - -10110103? 10110103 In base 12, what is 103 - -166a? 1771 In base 12, what is 4 - -92a69? 92a71 In base 16, what is b - -11bd9? 11be4 In base 3, what is 0 - 200200202? -200200202 In base 5, what is -240042 - -2310? -232232 In base 15, what is 1 + 2e64? 2e65 In base 14, what is 2 + 9dd2? 9dd4 In base 6, what is -55525 + 22? -55503 In base 12, what is 402 + -77? 347 In base 12, what is -1036 - 66? -10a0 In base 13, what is -2424 - 3? -2427 In base 6, what is -25524042 + 3? -25524035 In base 4, what is -20221211 + 231? -20220320 In base 8, what is -3 - 554727? -554732 In base 7, what is -1136412 + -1? -1136413 In base 13, what is -2 + -51194? -51196 In base 4, what is 2113220 + 11? 2113231 In base 16, what is cf4d + -5? cf48 In base 13, what is -16182 - -8? -16177 In base 6, what is 140 + -33042? -32502 In base 5, what is 42100 - -21344? 113444 In base 6, what is 55423 - -12? 55435 In base 10, what is 1 + 653175? 653176 In base 2, what is 10100 + -10000001111100100? -10000001111010000 In base 7, what is -322 + 1264? 642 In base 9, what is -5618 + 330? -5278 In base 9, what is -16 - -124282? 124265 In base 8, what is 22 + -121353? -121331 In base 3, what is 0 - -1120020012? 1120020012 In base 7, what is 231 + 54? 315 In base 8, what is -44 + 10475? 10431 In base 8, what is -17112502 + -4? -17112506 In base 7, what is 4 - 4346? -4342 In base 5, what is 4 + 442320? 442324 In base 8, what is 0 + 36622? 36622 In base 11, what is 7 + 158224? 158230 In base 14, what is -2da46 - 2? -2da48 In base 14, what is 0 + 99d4? 99d4 In base 4, what is -3 + -2133330320? -2133330323 In base 5, what is -2213 - 424? -3142 In base 8, what is -3 + 54071? 54066 In base 4, what is 12330 - -200123? 213113 In base 11, what is -3 + -1337a? -13382 In base 15, what is -2977 + 60? -2917 In base 15, what is -3ee4 - -11? -3ed3 In base 3, what is 1122000 + -212021? 202202 In base 4, what is 12 - 120310001? -120303323 In base 15, what is -73 + -23d2? -2455 In base 3, what is 10 + -11110100122? -11110100112 In base 10, what is 0 + 117129? 117129 In base 6, what is -1401101 + 14? -1401043 In base 8, what is -1073517 + 2? -1073515 In base 3, what is -102220002100 - 0? -102220002100 In base 14, what is -18 + 1273b? 12723 In base 9, what is 105445 + -2? 105443 In base 9, what is -17837 - -15? -17822 In base 2, what is 10 + -10100110011001? -10100110010111 In base 4, what is -10 + -111110? -111120 In base 7, what is 515 + 545? 1363 In base 6, what is 11411 + -35? 11332 In base 15, what is 3 - -88? 8b In base 15, what is -1056 - 16? -106c In base 8, what is -112545 + -12? -112557 In base 10, what is -1184676 - 5? -1184681 In base 9, what is -723 + 38? -674 In base 15, what is 809cc + -4? 809c8 In base 13, what is 198 + 367? 532 In base 8, what is 554 - 52? 502 In base 12, what is -81718 - 8? -81724 In base 10, what is 5 - -383976? 383981 In base 11, what is 4 - 93429? -93425 In base 16, what is -c73d + 7? -c736 In base 13, what is 194 + 67c? 843 In base 15, what is 214 - -290? 4a4 In base 10, what is -54 - 236? -290 In base 12, what is 144800 + -2? 1447ba In base 5, what is 30211 + -214? 24442 In base 11, what is 0 + 5216? 5216 In base 10, what is 776 - 10? 766 In base 6, what is -23441252 + 3? -23441245 In base 7, what is 652 + 33? 1015 In base 5, what is -100141032 - -2? -100141030 In base 12, what is 17b + 2b? 1aa In base 14, what is 237 - -45b? 694 In base 8, what is 20137 - -4? 20143 In base 14, what is -13a + 340? 204 In base 13, what is -5ab - -43? -568 In base 11, what is 19 + 8993? 8a01 In base 4, what is -10302303 + -221? -10303130 In base 8, what is 5 + -5512? -5505 In base 3, what is 10110 + 120101? 200211 In base 5, what is -10 + -400204? -400214 In base 11, what is -313 - 925? -1138 In base 16, what is d83 - 5? d7e In base 11, what is 36987 - -18? 369a4 In base 15, what is 32 - 14? 1d In base 11, what is -29 + 10a61? 10a33 In base 3, what is -2100 + 220211? 211111 In base 8, what is -203 + -2217? -2422 In base 11, what is -124442 - -1? -124441 In base 16, what is -24 + 5c9? 5a5 In base 6, what is 2 + -110040? -110034 In base 13, what is 5 - 5964? -595c In base 5, what is 14130403 - -3? 14130411 In base 5, what is -13 + 2302032? 2302014 In base 7, what is -3023245 - -3? -3023242 In base 6, what is -5 + -11502301? -11502310 In base 5, what is 133 + -212041? -211403 In base 7, what is -53652 - 21? -54003 In base 12, what is -32495 + 2? -32493 In base 10, what is 126899 - 12? 126887 In base 5, what is -20 + 1043314? 1043244 In base 10, what is -2 + -1948? -1950 In base 10, what is 43 - 63623? -63580 In base 7, what is -145313 + 10? -145303 In base 8, what is 74 + -7660? -7564 In base 15, what is -663b + -7? -6643 In base 13, what is 3 + -32b9? -32b6 In base 3, what is 22211001112 + -10? 22211001102 In base 14, what is -8448 - 0? -8448 In base 14, what is -52c - 6c? -59a In base 2, what is -10011110101 - 101010? -10100011111 In base 9, what is 1 + -115045? -115044 In base 5, what is 10 - 413142240? -413142230 In base 6, what is -34405 + -12? -34421 In base 16, what is 2f - 1a83? -1a54 In base 14, what is -43dc - 25d? -465b In base 5, what is -33 + 202234? 202201 In base 7, what is 2324 - -151? 2505 In base 2, what is -111100 - -11111001011? 11110001111 In base 9, what is 24 - -7432? 7456 In base 12, what is -361360 + 0? -361360 In base 9, what is 462 - -2505? 3067 In base 11, what is -14aa8 + 4? -14aa4 In base 4, what is 20320131 + -3? 20320122 In base 14, what is -1 + -39d2c? -39d2d In base 5, what is 11 - 2021120? -2021104 In base 16, what is 8c - -44a? 4d6 In base 10, what is -16 - 2659? -2675 In base 16, what is -9f - 363? -402 In base 6, what is -20230 + -35? -20305 In base 7, what is -30 - -320? 260 In base 8, what is -7 - -13641
{ "pile_set_name": "DM Mathematics" }
Let r = -24 - 69. Let p = -89 - r. Suppose -d = -4*g - 8, 0 = -4*d + 4*g + 12 - p. Solve -3*l = -12, -3*f + d = -3*l - 3 for f. 5 Let w be (52/(-234))/((-5)/(-15))*-6. Solve -w*r + 1 = -3*r, -4*d = -5*r - 3 for d. 2 Let t be 4/22 - (-4)/(-44)*-20. Suppose i - t*n + 0*n - 8 = 0, -20 = i + 5*n. Solve 2*l + d = -8, i = -l - 3*l - d - 12 for l. -2 Let i = -1 - -2. Let t = -130440 + 130443. Solve i = t*u - s, -4*u + u - s = 7 for u. -1 Suppose 16*c - 17*c - 917 = -8*c. Solve 0 = -4*j - 2*w - 18, c*w = -4*j + 135*w - 12 for j. -4 Let i be 1/14 + (-2619)/(-1358). Solve -27 = -5*o - 2*m, -9 = -i*m - 7 for o. 5 Let c(v) = -v**2 + 10*v + 29. Let s(g) = 4*g**2 - g - 6. Let h be s(-2). Let n be c(h). Solve 4*d - 2*u + 4 = 0, 0 = -0*d - d - n*u - 23 for d. -3 Let t be (-30)/4*332/(-498). Solve d + 4 - 8 = -2*f, 0 = -t*d - 5*f for d. -4 Suppose 4*z + 3*c = 64, 30*z - 35*z = -2*c - 57. Solve 0 = -2*a + 5*l - 34 + z, l = a + 3 for a. 2 Let d = -29 + 46. Suppose -20*y + d*y + 30 = 0. Suppose -y*b = -5*b - 90. Solve 2*f - 5*g + b = 0, 13 + 6 = 3*f + 4*g for f. 1 Let d(g) = -g**3 + 2*g**2 + 24*g + 35. Let c be d(-2). Solve -5*p - 27 = -2*y, c*y + 4*p - 57 = -74 for y. 1 Let v(c) = 103*c - 44*c - 52*c + 4 + c**2 - 18. Let y(r) = -2*r**2 + 2*r + 3. Let p be y(-2). Let w be v(p). Solve -3*q + 27 = w*n + n, 3*n - 25 = -4*q for n. 3 Let w(c) = c - 13. Let f(g) = -2*g + 38. Let r(n) = -2*f(n) - 7*w(n). Let v be r(5). Suppose 5*u - 3*u + v*u = 0. Solve u = 4*l - 0*l, -l + 20 = 4*p for p. 5 Suppose -223*c - 30 = -229*c. Solve -g - 4*a - 5 + 0 = 0, 0 = c*g - 3*a - 21 for g. 3 Let f(o) = 3*o**2 - 15*o - 528. Let p be f(16). Suppose 20 = 2*l + 2*l. Solve p = 4*q - l*q - 3*m - 8, m = -1 for q. -5 Let g = 54 + -49. Suppose -s = 5*t + 16, 28*s - 23*s = 2*t + 28. Solve 3*c + 5 = g*j, -3*j + s*c - 2 + 5 = 0 for j. 1 Suppose 0*l + 1 = -l. Let w be (-1 + 0)/(l/2) - -1. Suppose -2*t = 2*t - w*u - 6, 0 = 3*t - u - 2. Solve -4*p - 2 = 4*d - 6, 5*d - 15 = t for p. -2 Suppose -39*l + 30*l - 36 = 0. Let p(c) = c**3 + 2*c**2 - 14*c - 4. Let m be p(l). Solve m = -4*d + 4*w, d + 7 = w + 2*w for d. -4 Let n(j) = -j**3 + 5*j**2 + 7*j - 1. Let x be n(6). Suppose -5*d + 5*s + 35 = 0, x*d - 2*d - 5 = -5*s. Solve 0 = -d*y - 3*m - 0*m - 31, -13 = 3*y - m for y. -5 Let a = -68 + 67. Let o(g) = -24*g**3. Let r be o(a). Suppose 5*q - 8*q = -r. Solve -4*c - 4*z = q, -3*c - c + 4*z = -24 for c. 2 Suppose 3*q - 43 = 11. Suppose -i - 12 = 5*z - 51, -4*i - z = -118. Let b = i - q. Solve -10 = g + 3*g - 2*l, -2*g - b = 5*l for g. -3 Let o(f) = -f**3 + 145*f**2 + 454*f - 1377. Let p be o(148). Solve -3*r - 9 = -3*b, -p*r - 2 = -101*r for b. 2 Suppose -136*w + 138*w - 35 = -s, -2*w - 4*s + 50 = 0. Solve w = -3*h, -4*i + h + 94 - 85 = 0 for i. 1 Suppose 3*n = -1 - 53. Let k be 3*3/n*2. Let g be k/(2 - 7/3). Solve -5*h + 15 = 2*d - 3*d, -g*h + 1 = d for h. 2 Let q = 18 + -21. Let b be (-1)/(q/180) - -2. Let f = -58 + b. Solve 2*l = -5*x - 0*l + 22, 0 = -4*x - f*l + 20 for x. 4 Suppose -5*r = -20, -5*r = 2*t - t - 38. Suppose -15*z + 10*z + t = g, -2*g = -2*z. Solve -3*o = u + 14, 4*u - 9 = 4*o - z*o for o. -5 Let b be 2*(2/2)/((-6)/(-12)). Let r = -96 - -135. Let l = r + -38. Solve -b*h - 2 = -2*k + 2, -h = k + l for k. 0 Suppose -h = -d + 4, -4*h + d + 13 = 17. Solve -3*t + 4*u = 2, 3*t + h*t + 5 = u for t. -2 Let m = 307 - 305. Let k(d) = d**2 + 10*d + 13. Let o(f) = -3*f - 4. Let p(a) = 2*k(a) + 7*o(a). Let n be p(m). Solve 5*u + 25 = 0, 2*g - 2*u - n = -2 for g. -4 Let p be (-4)/(-10) - (-2 - 231/(-15)). Let l = p - -17. Suppose 0 = -2*k + 6, 3*a - a - 2*k - l = 0. Solve -t = 2*d + a, 0 = 2*d - t - 0 + 11 for d. -4 Let h = 1689 - 1659. Solve -13*c + 8*c - h = s, -s - 20 = 3*c for s. -5 Suppose -3*b + 138 + 7 = 5*n, -5*n = -3*b - 145. Let u = n - 37. Let d be 135/8 + u/(-64). Solve 4*j = 2*j + 3*x - 13, 2*j = -3*x + d for j. 1 Suppose -10*k + 32*k = 572. Let v = -8 - -36. Let f = v - k. Solve -4*o = -4*q - q + 29, -12 = -2*q + f*o for q. 5 Suppose 4*d + 6*w = 3*w, d + 31*w = 32*w. Solve 6*n = n + 5*u - 25, -2*n + 3*u - 11 = d for n. -4 Suppose w - 5*w + 68 = 4*t, -2*w = 4*t - 70. Let p(s) = s**2 - 16*s - 30. Let f be p(t). Solve g - 8 = -2*b, -7 = -f*g + g + b for g. 2 Let b be 28/(-6)*(-975)/130. Solve 0 = s + 3, 3*p = -s + b - 53 for p. -5 Suppose 5*u + 2*o = -148, 31*u - 35*u - 3*o = 117. Let z be ((-12)/u)/((-1)/(-25)). Solve 5*a = z - 35, 3*a = 3*q for q. -5 Let l(b) = b**3 - 9*b**2 + 14*b + 46. Let u be l(5). Solve 4*n - 7*n = 3*m + 12, n + u = -5*m for m. -3 Suppose -l + 3*p + 35 - 16 = 0, -5*l = -p - 25. Solve -3*r - 2*j = l, 6 = r + 4*j + 4 for r. -2 Let u(f) = f**3 + 35*f**2 + 47*f + 27. Let p be u(-34). Let k = 416 + p. Solve 0 = 2*n - 4*b - 10, -4*n - 5 = 4*b - k for n. 1 Let z be 246/50 + 136/1700. Solve -z*k = -4*g + 35, 3*k = -5*g - 11 + 27 for k. -3 Let g be 3/((5/(255/18))/(2 - 0)). Solve g + 12 = -t + 5*b, -2*b - 10 = 5*t for t. -4 Suppose 67*h = -33*h + 4*h. Solve -5*b + 2 = -u + 18, h = -4*b + 4*u for b. -4 Suppose 18*j - 13*j = -5*h - 5, 3*j + h + 13 = 0. Let z(c) = c**2 + 3*c - 14. Let k be z(j). Solve -3*i = 2*q - 4 - 3, 2*i + k = 3*q for q. 2 Let d = 5 + -3. Let k(u) = -u**2 + 65*u + 506. Let s be k(-7). Solve -6*b - 15 = -b - r, 6 = s*b + d*r for b. -2 Let l(a) = 2*a**3 - 15*a**2 + 9*a - 9. Let m be l(7). Suppose 15*p = -m*p + 80. Solve 0*t - 4*f = 2*t - 16, 17 = p*t + 3*f for t. 2 Let q = 160 - 158. Suppose k - 6*k = -3*m - 6, -q = -3*k + m. Solve 5*a - 35 = -5*p, k = 2*a - 5*a + 12 for p. 3 Suppose 0 = x + 5, 0 = 4*j + j - 2*x - 20. Suppose -48 = 5*r - 11*r. Let z be r - ((-6)/(-2) - 1 - -2). Solve 0 = -4*l, -2*w = -2*l + z + j for w. -3 Suppose -9 = -3*a, -4*a - 23 + 5 = -3*q. Let o be q/4 + ((-155)/(-10) - 9). Solve x + 2 = 0, -f + 0*f = -2*x - o for f. 5 Let f be (3/(-3))/(1/44). Suppose 4787*n - 4783*n - 188 = 0. Let o = f + n. Solve 6 = 2*k + r, k - 5*r = 2*k - o for k. 3 Let v(r) = -1 - r**2 + 2*r - 21*r - r. Let j = 202 - 220. Let m be v(j). Solve -4*k - 5*g - m = 0, -3*k - 4*g = -g + 24 for k. -5 Suppose -10*v + 40 = -20. Suppose -11*g + 25 = -v*g. Solve o + 0 - 24 = g*s, -o - 4 = 2*s for s. -4 Let l be 1365/(-78)*3*4/(-7). Let a be ((-20)/l)/((-1)/(-3)*-1). Solve -3*h - 3*n + 18 = 0, a*n + 15 = 5*n for h. 1 Let f be 42/(-28) + 44/8. Suppose 2*r - 3*a = -f*a + 8, 5*r - 5*a - 20 = 0. Solve -3*m - 20 = -r*g, 4*m + 26 - 6 = 4*g for m. 0 Let z be (-8)/44 - 1206/(-99). Suppose 0 = -191*v + 195*v - z. Solve -15 = 3*p + v*u, 0 = -0*p + 2*p + 5*u + 16 for p. -3 Suppose 7*c + 4 + 3 = 0. Let u(z) = -20*z - 17. Let s be u(c). Solve 3*a + 2*k + 10 = 0, -4*a = -s*k - 2*k - 2 for a. -2 Suppose -5*u + 96 = -309. Let v be u/54*8/6. Solve -4*m - v = 2*o, -5*m = 2*o - 0 + 3 for o. 1 Suppose -154*a + 137*a + 357 = 0. Solve -14 = -l - 4*g, 3*g = 10*l - 16*l + a for l. 2 Let c be 11*6*12/198. Suppose -144 = -37*b + c. Solve 5*y + 5 = s, 2*y + 24 = -b*s - 0*y for s. -5 Suppose -2*k + 14 = v, -4*k + 42 = 3*v - 8*v. Let z = 8 + k. Suppose 7*y - 2 = 2*r + 4*y, 0 = -4*r - 4*y + z. Solve r*t + 6*u - 2*u = 6, -u + 3 = -t for t. -1 Let p(d) = d**2 + 11*d - 24. Let f be p(-13). Let b be 3/(42/12 - f). Solve -3*c = b*c + 3*h + 10, -5*h = 2*c - 15 for c. -5 Let x(q) = q + 37. Let n be x(0). Suppose -3*d + 525 = o, -d - 21 = o - 196. Suppose n = -6*i + d. Solve -4*b - 21 = -v, -2*b + 6*b - 3*v + i = 0 for b. -5 Let o = 70 - 68. Suppose 5*w + 3 - 32 = -2*q, -2*w + 12 = q. Suppose 5*r - 4*b = w, 4*b - 2 = 4*r - 6. Solve -2*m = -m + o*t - 9, m = 2*t + r for m. 5 Let h be (-40)/100*(-205)/2. Suppose 2*q - 63 = -h. Solve 3*x = s + q, 2*x + s = 5*s - 6 for x. 5 Suppose 0 = -28*w + 24*w + 12. Let a be (2/w*-2)/(2/(-3)). Let v be ((-28)/(-10))/(a/5). Solve -15 = -4*n - 3*f, 3*n - 5*f = -n + v for n. 3 Let s = -11048 + 11051. Solve 2*j - n = -s*n - 16, -5*n - 16 = -3*j for j. -3 Suppose -i + g = 5*g + 6, -4*g - 294 = -15*i. Solve u + 2*h = 0, h - i + 12 = -2*u for u. 4 Let o be 5 + 12/(-3) + 4. Suppose -2*j + 3*j = -2*n - 1, 4*n + 5 = -o*j. Let w be (-3 - -6)*j*(0 + -1). Solve 2*i - w*u = 33 - 8, -5 = -5*i - 4*u for i. 5 Suppose 37*z - 244 - 58 - 31 = 0. Solve -z*x + 5*x - 14 = -3*l, -x = 4*l + 13 for l. -2 Suppose -30*i + 34*i = 44. Let u(s) = -s**3 + 9*s**2 + 109*s - 17. Let w be u(-7). Solve 3*l - w*j =
{ "pile_set_name": "DM Mathematics" }
= -5, 2 = 3*c + 4*h. What is the least common multiple of c and 9? 18 Suppose -10 = -5*i + 4*t, i = 2*i - 4*t + 14. Calculate the common denominator of (-1095)/10*(-1)/i and -49/10. 20 Let k(p) = -9*p**3 + 10*p**2 - 10*p + 6. Let i(d) = 5*d**3 - 5*d**2 + 5*d - 3. Let r(j) = 7*i(j) + 4*k(j). Calculate the least common multiple of 18 and r(3). 18 Let d = -1/219 + -4597/438. What is the common denominator of d and 15/2? 2 Let m = 1 + -1. Let f be (0 + 1)*(1 - m). Suppose 0 = c - f - 0. What is the least common multiple of c and 8? 8 Find the common denominator of 0 - (-232)/108 - (6 - 6) and 17/30. 270 Let m = 50808 - 508831/10. Let x = -193/5 - m. Let q = 402 + -1621/4. Find the common denominator of q and x. 4 Let p = 2773/8 + -24553/72. What is the common denominator of p and -5/21? 126 Let y = 53 - 35. Calculate the lowest common multiple of y and 7. 126 Let c(v) = 4 + 0 + 0 + 0 - 2*v. Let n be c(3). Find the common denominator of -56/3 and n/3*(-249)/(-4). 6 Let i = 18 + -15. Suppose i*b - 9 = 6. What is the smallest common multiple of b and 5? 5 Let g = -520/3 + 169. What is the common denominator of g and 4 - -3*(-2)/15? 15 Let y = -747 + 1818. Let b = 11793/11 - y. Find the common denominator of b and 6*(150/44)/(-5). 11 Suppose 7*l + 288 = 5*l. Find the common denominator of 1 + -5 + (-564)/l and (26/12 + -2)*149. 12 Let q(u) = -4*u - 4. Suppose z - 18 = 5*m, 8*m - 2*z = 3*m - 16. What is the lowest common multiple of 16 and q(m)? 48 Let s(r) = -r**2 - 6*r + 34. Calculate the least common multiple of 9 and s(-8). 18 Let o be (6/4)/(3/6). Let b(f) = 4*f - 1. Suppose 0 = -z + 3*r + 20, -3*r - 42 = 2*z - 5*z. Calculate the least common multiple of z and b(o). 11 Let k = 30 + 29. Suppose 2*n + 2*n - 5*o - 55 = 0, -3*o - k = -5*n. Let u(z) = z**2 + 3. Calculate the least common multiple of n and u(-3). 60 Let d(t) = t**2 - 5*t + 6. Let s be d(5). Let v(w) = -w**3 - 9*w**2 + 11*w + 7. Let a be v(-10). Let y = a + s. What is the smallest common multiple of y and 3? 3 Suppose 6*b + 12 = 4*b. Let o(u) = u + 8. Calculate the smallest common multiple of 12 and o(b). 12 Find the common denominator of 140/(-50)*(-45)/(-4) and 31/8. 8 Let h = 1 - -5. What is the lowest common multiple of 20 and h? 60 Let x = -1 + -1. Find the common denominator of -21*(23/11 + x) and -12. 11 Let a = -49343/8 + 6158. Calculate the common denominator of a and 18/((-10)/(-6) + -1). 8 Let j(s) = -3*s**3 - s**2 + s - 1. Let h be j(-2). Suppose 3*f + 4*b - 35 = h, -3*f + 68 = -4*b. Calculate the least common multiple of f and 18. 180 Let j = -19 - -74. Let v be (1/1 - -886)/j. Let r = v - 140/11. What is the common denominator of r and -119/10? 10 Let r = 3225 + -28982/9. Calculate the common denominator of r and ((-2)/(-4))/(-4 + (-1722)/(-432)). 9 Let j = -55610/9 - -6187. What is the common denominator of j and -133/6? 18 Suppose 16 = -0*j - 5*j + 4*f, -j - 12 = -3*f. Let m = 7 - j. Calculate the least common multiple of m and 4. 28 Find the common denominator of -99/4 and (130/4)/(-1 + 0). 4 Let b = 0 - -3. Suppose b*p = 2*u - 12, -2*p - p = -u. Calculate the least common multiple of u and 16. 48 Suppose -2*f = 2*f - 4. What is the lowest common multiple of f and 106? 106 Let u be -1 - 5/((-15)/252). Suppose -5*z + u = i, 4*i - 10 = 2. Calculate the smallest common multiple of z and 18. 144 Let a be (4 - 5)/((-1)/(-6845)). Let m = a + 68357/10. Calculate the common denominator of -34/9 and m. 90 Let b(s) = 3*s - 6. Let y be b(12). Suppose 0*d = 5*d - y. What is the smallest common multiple of 40 and d? 120 Let g(i) = i**3 + 6*i**2 + 3*i + 1. Suppose o - 16 = 14. Suppose 6*l - l = o. Calculate the lowest common multiple of g(-5) and l. 66 Suppose 2*w + w + 3639 = 0. Let v = 12119/10 + w. Calculate the common denominator of v and 25/2. 10 Suppose 0*t - 81 = -3*t. Suppose t = 2*r + 7. Suppose 4*x + y = 28, 10*x - 8*x = 5*y - 8. Calculate the smallest common multiple of r and x. 30 Suppose 4*g + 20 = 6*g. What is the lowest common multiple of 10 and g? 10 Let f = 656 - 647. Suppose r - 6 - 17 = 0. Suppose -3*a + 43 = 4*g, -4*g - a = -18 - r. What is the least common multiple of f and g? 90 Let v = 129414/13 + -2069393/208. Let j = 42/13 - v. What is the common denominator of 133/6 and j? 48 Let j be 522728425/(-1134) + 4/14. Let s = 460957 + j. Let n = s - -2/81. What is the common denominator of n and 23/4? 4 Let u(h) = -9*h - 41. What is the smallest common multiple of u(-5) and (-2)/4 - (-46)/4? 44 Suppose c + 6*w - 11*w = 33, -3*c = -3*w - 63. What is the lowest common multiple of c and 36? 36 Let l = 20 - 17. What is the least common multiple of l and 30? 30 Find the common denominator of 4/(-6)*444/64 and -143/6. 24 Suppose 4*c - 12 = -4. Suppose -2*w = c*d - 18, -4*w + 14 + 29 = 5*d. Let a(h) = -h - 8. Calculate the smallest common multiple of a(-9) and d. 7 Suppose -2*b + 21 - 5 = -3*l, -b + 7 = -l. What is the lowest common multiple of 7 and l/(-20)*2*5? 7 Calculate the common denominator of 5/10 - (-226)/(-28) and ((-30)/(-8))/((-11)/8). 77 Suppose -4*s + 4 = 5*w, -2*w - 4 = -0*s + 3*s. Suppose 19 = -3*v - w*d, 3*v - 5*d = -2*v + 15. What is the least common multiple of 3 and 0/v + (2 - 1)? 3 Let l(p) = -2*p - 6. Let a be l(-4). Calculate the common denominator of a/(-3) + 292/72 and 1/12. 36 Let x(y) = 2*y**2 - 2*y. Let l be x(2). Let s = -13737/3260 - 120/163. Calculate the common denominator of l/18 - (-223)/90 and s. 20 Let t = 4 + -2. Suppose 0 = -w, 0 = -y + 2*w + t + 2. Calculate the smallest common multiple of y and 2. 4 What is the common denominator of ((-68)/(-12))/(2/3) and (-39)/180 - 6/(-8)? 30 Let n be -2 + ((-4)/(-2) - -3). Let x(y) = 2*y - 7. Calculate the lowest common multiple of x(8) and (-2)/n*-1*9. 18 Let s = -18 - -26. Suppose 0 = 5*o - 5*t - 15, 5*t + 5 = -4*o - 1. Calculate the least common multiple of (0 - o)/(1/(-8)) and s. 8 Let c(x) = 1 - 2*x + 0 + 3*x + 9*x**2. Let y be c(-1). Calculate the common denominator of -5/7 and 102/(-10)*(-6)/y. 35 Let p(g) = g**2 - 5*g - 16. Calculate the least common multiple of p(-7) and 4. 68 Suppose -2*z = 3*x + 2*z - 23, 0 = -x - 2*z + 7. Calculate the lowest common multiple of 9 and x. 9 Let y = -65171/55 + 1185. What is the common denominator of 107/40 and y? 440 Let p be (30/(-24))/(1/40). What is the common denominator of -77/8 and (-5)/(p/(-81)) - -3? 40 Let j be 4/10 + (-72)/(-20). Suppose -60 = -5*n - 5*f, 0 = -j*n + 2*f + f + 48. Calculate the least common multiple of 20 and n. 60 Let h = 1311 + -3865/3. Calculate the common denominator of 17/5 and h. 15 Let d be 609717/(-54) - 2/(-6). Let w = -11285 - d. What is the common denominator of w and -137/12? 36 Let c = 24 - 14. Calculate the least common multiple of c and 854/105 + (-2)/15. 40 What is the common denominator of 0/32 - 113*2/(-36) and -13/128? 1152 Let a = 5/1273 - 92959/7638. Calculate the common denominator of 17/18 and a. 18 Let d(f) = 4*f**2 + 3*f. Suppose 9 = -3*v - 27. Let r = v + 26. Calculate the lowest common multiple of d(-2) and r. 70 Let n = -1261/2 + 616. What is the common denominator of -54/11 and n? 22 Suppose u = 3*u - 12. Let t(p) = 6*p + 6. Calculate the common denominator of t(5) and (49/3)/(10/u). 5 Let i = -2/41 + 2669/82. Calculate the common denominator of i and -43/8. 8 Let g = 169/2 + -443/6. Calculate the common denominator of g and -16/29. 87 Suppose -l = 2*l - 6. Let x be (2 - -1 - 2) + 0. What is the least common multiple of (-122)/(-6) - x/3 and l? 20 Let l = 394 - -167. Let k = -1634/3 + l. What is the common denominator of 37/9 and k? 9 Let p(n) = -n**3 - 2*n**2 + 3*n + 2. Let t = 4 - 7. Calculate the smallest common multiple of p(t) and 22. 22 Suppose -2 + 5 = u. Calculate the lowest common multiple of 11 and u. 33 Let v = 3 - -13. Suppose -2*w = -24 - v. Calculate the lowest common multiple of w and 6. 60 Let p = 4 + 33. Find the common denominator of 27/29 and p. 29 Let n be -1 + 2 - 425118/559420. Let u = n + 3/3370. Let r = u + -5017/498. Find the common denominator of -76/9 and r. 18 Let r(n) = n - 4. Let x be r(0). What is the least common multiple of 8 and (-12 + x)*(-2 - -1)? 16 Suppose -4*d + 73 = -5*s, 39 = 5*d + 2*s - 11. Let k = 13 - 5. Calculate the lowest common multiple of d and k
{ "pile_set_name": "DM Mathematics" }
(j) - 5*w(j). -j + 1 Let y(x) = -496*x**3 - 5*x**2 + 3*x + 250*x**3 + 252*x**3 - 3. Let t(b) = -7*b**3 + 6*b**2 - 4*b + 4. Determine -5*t(s) - 6*y(s). -s**3 + 2*s - 2 Let q(g) = g - 3. Let l be q(0). Let y = l - 4. Let a(j) = -3*j - 13. Let d(c) be the first derivative of -c**2 - 9*c + 8. Give y*d(b) + 5*a(b). -b - 2 Let c(n) = -n**2 + 2*n - 3. Let w = 96 - 93. Let p(v) = -2*v**2 + 4*v - 5. Determine w*p(i) - 5*c(i). -i**2 + 2*i Let a(p) = 75*p**3 + 2*p**2 + 2. Let w(i) = -301*i**3 - 9*i**2 - 9. Give -9*a(u) - 2*w(u). -73*u**3 Let k(f) = -5*f**2 - 6*f - 31. Let d(r) = -14*r**2 - 17*r - 92. Determine 4*d(u) - 11*k(u). -u**2 - 2*u - 27 Let u(c) be the third derivative of 0 + 0*c + 0*c**5 + 1/6*c**3 - 5*c**2 - 1/120*c**6 + 0*c**4. Let m(l) = 3*l**3 - 4. Give m(h) + 4*u(h). -h**3 Let n(c) = 1. Let u(i) = i + 5. Calculate -3*n(t) + u(t). t + 2 Let w(s) = -55*s + 11. Let l(k) = -37*k + 7. What is 8*l(q) - 5*w(q)? -21*q + 1 Suppose 4*z - 25 = -4*t - 61, -2*z = -2*t + 6. Let x be 11 + -3 + (4 - -2). Let g(p) = -2*p + 2. Let k(y) = -5*y + 5. Calculate x*g(j) + z*k(j). 2*j - 2 Let m(p) = -p - 6. Let f(q) = -3*q - 17. Let j(u) be the third derivative of u**4/8 - u**3/2 + 3*u**2. Let x be j(3). Give x*f(b) - 17*m(b). -b Let w(q) = 4*q**2 + 2*q + 2. Let g(b) = 7*b + 6 - 8*b**2 - b**2 + 22*b**2. Suppose 5*j - 21 = 2*j. What is j*w(u) - 2*g(u)? 2*u**2 + 2 Let t(d) = d**2 - 2*d - 4. Let x be (46/8)/((-5)/20). Let w = x - -12. Let f(j) = -6*j**2 + 11*j + 21. Determine w*t(p) - 2*f(p). p**2 + 2 Let r(t) = -5*t**2 + 6*t - 1. Suppose 12 = 4*j - 2*j. Let h be 4/j + 39/9. Let y(i) = -4*i**2 + 5*i - 1. Calculate h*r(m) - 6*y(m). -m**2 + 1 Let m(c) = 5*c + 4. Let x(y) = -y - 1. Suppose -5*z + 2*z - 9 = 0. Give z*x(l) - m(l). -2*l - 1 Let t(u) = 3*u - 5. Let c = -13 + 7. Let a be (-1)/(14/c - -2). Let m(q) be the second derivative of -q**3/3 + 2*q**2 + 4*q. Calculate a*t(r) + 4*m(r). r + 1 Let t(x) = -x. Let m(o) = -27*o. Give m(r) - 6*t(r). -21*r Let c(g) be the first derivative of -3 - 3/2*g**2 + 0*g. Let v(m) = 10*m. Give 7*c(n) + 2*v(n). -n Let m be (-5 + (3 - 2))/(-2). Let k(q) = 0*q**m - 6*q - 4 - 4*q**2 + 3*q**2. Let t(l) = l + 1. Calculate k(s) + 5*t(s). -s**2 - s + 1 Let b(v) = 133*v**3 - 114*v**2 + 114*v + 114. Let u(f) = -f**3 + f**2 - f - 1. What is -b(j) - 114*u(j)? -19*j**3 Let y(w) be the first derivative of w**2 + 4*w - 1. Let u(f) = 3*f + 5. Let x = 5 + -1. Let r be (x - -2)*1/(-2). Determine r*u(p) + 4*y(p). -p + 1 Let a(d) = -12*d**2 + 1. Let x be (-11)/((-44)/80) - -2. Let j(i) = i**2. What is x*j(b) + 2*a(b)? -2*b**2 + 2 Let s be -9 + 0 + -7 + 10. Let v(u) = -8*u - 15. Let y(a) = 3*a + 5. Let q(d) = 4*v(d) + 11*y(d). Let j(h) = 0*h + h - 4 + 1 - 3. Calculate s*q(p) + 5*j(p). -p Suppose 76 = 4*p + 212. Let k(b) = 35*b - 17. Let s(u) = 6*u - 3. Let l(f) = p*s(f) + 6*k(f). Let m(x) = x. Give -l(d) + 5*m(d). -d Let u(f) = -7*f + 1. Let n(z) = z. Calculate 2*n(g) + u(g). -5*g + 1 Let r(t) be the second derivative of t**5/20 + 5*t**2/2 - 8*t. Let g(b) = -3*b**3 - 12. Give 5*g(l) + 12*r(l). -3*l**3 Let z(y) = -29*y**3 + 17*y**2 + 17*y + 17. Let o(v) = -v**3 + 6*v**2 - v - 11. Let d be o(6). Let c(g) = -10*g**3 + 6*g**2 + 6*g + 6. Calculate d*c(q) + 6*z(q). -4*q**3 Let t(s) = -3*s**3 - 4*s**2 - 3*s + 1. Let b = 57 - 18. Let y = -28 + b. Let a(i) = -8*i**3 - 11*i**2 - 8*i + 3. Give y*t(x) - 4*a(x). -x**3 - x - 1 Let w(s) = -s**2 + 7*s + 7. Let g be w(8). Let i be 2*1*(-3 - -4). Let h(m) = 6*m + 1 + 0*m - m**i - 5*m. Let p(o) = -4*o**2 + 3*o + 3. What is g*p(u) + 3*h(u)? u**2 Let u(d) = -4*d**3 + 2*d**2 - d - 2. Let s be ((-32)/24)/((-2)/15). Let n(b) = 9*b**3 - 5*b**2 + 3*b + 5. Give s*u(c) + 4*n(c). -4*c**3 + 2*c Let s(t) = t - 1. Let l = 23 - 13. Let p(c) = 1 - 5 + l*c - 6. Suppose 10*d = 12*d - 44. Determine d*s(v) - 2*p(v). 2*v - 2 Let i(p) = p - 2 + 4 - 6*p**2 + 0. Let a(x) = -2 + 3*x**2 - 5*x - x + 2*x**2 + 5*x. Calculate -7*a(n) - 6*i(n). n**2 + n + 2 Let o(x) = x - 3. Let w(t) = -2*t - 2. Let v(d) = 5*d + 4. Let r(n) = -6*v(n) - 14*w(n). Determine 4*o(q) + 3*r(q). -2*q Let a(m) = -2*m - 7. Let q be a(-5). Let l(v) be the third derivative of v**5/30 - v**4/24 + v**3/3 + 8*v**2. Let f(t) = 3*t**2 - 2*t + 3. Give q*f(c) - 5*l(c). -c**2 - c - 1 Let u(q) = 11*q**3 + 6*q**2 - 4*q. Let c(b) = 23*b**3 + 11*b**2 - 7*b. Give 6*c(l) - 11*u(l). 17*l**3 + 2*l Let a(c) be the first derivative of c**2/2 + c - 3. Let k(j) = 13*j + 11. Give 22*a(w) - 2*k(w). -4*w Let o(j) = 4 + 5*j + 4 - 3 - 4. Let d(m) = -m. Let t be d(-3). Let x(s) = 1 - 4 - 9*s + 1. Determine t*x(y) + 5*o(y). -2*y - 1 Let w(k) = -k**2 - 3*k. Let t(o) = -o**2 - 7*o + 5. Let a be t(-6). Let j = 10 - a. Let z(g) = -g**3 - g**2 - g. Determine j*w(f) + 2*z(f). -2*f**3 - f**2 + f Let y(l) = 5*l**3 + 3*l - 3. Let v(g) = 11*g**3 - 3*g**2 + 3*g - 1. Let r be v(1). Let b(n) = -9*n**3 - 5*n + 5. What is r*y(k) + 6*b(k)? -4*k**3 Let t = -15 - -21. Let j(w) = -7*w**3 + 7*w**2 + 11*w. Let k(h) = -2*h**3 + 2*h**2 + 3*h. Determine t*j(n) - 22*k(n). 2*n**3 - 2*n**2 Suppose -4*o + 4*x = -4, 2*o - 26 = -4*x - 0*x. Let h(b) = -2*b + 9. Let f(u) = u - 4. Suppose 3 + 1 = 2*t. Calculate o*f(m) + t*h(m). m - 2 Let l = -10 - -14. Let b(g) = -1 + 7*g - 5*g**3 + 2*g**3 - 5*g**2 - 2. Let z(o) = -2*o**3 - 4*o**2 + 6*o - 2. Determine l*b(s) - 5*z(s). -2*s**3 - 2*s - 2 Let c(m) = -17*m**2 - 7*m + 13. Let d(q) = -17*q**2 - 8*q + 13. Let f(a) = -5*c(a) + 6*d(a). Let t(o) = 4*o**2 + 3*o - 3. Calculate 6*f(l) + 26*t(l). 2*l**2 Let a(j) = -3*j. Let l(i) = 2*i. Let t(c) = c + 11. Let q be t(-4). Calculate q*l(s) + 5*a(s). -s Suppose -4*m + m = -6. Let b(c) = 4*c**2 - 3*c**2 + 5 - 3*c**3 + 0*c**3 + 4*c**m. Let s(z) = 2*z**3 - 4*z**2 - 4. Determine -4*b(q) - 5*s(q). 2*q**3 Let g(z) = 3*z**2 - 5*z + 9. Let x(b) = 2*b**2 - 3*b + 5. Let h = 28 + -23. What is h*x(c) - 3*g(c)? c**2 - 2 Let o(p) = -4*p**2 - 11*p + 1. Let d(i) = 7*i**2 + 23*i - 2. Give 6*d(r) + 11*o(r). -2*r**2 + 17*r - 1 Let h = -3 + 2. Let w(t) = t - 1. Let k(r) = 3*r - 4. Suppose 4*i - 3*u - 4 = -0, 2*i - 2*u = 2. Let x = 5 - i. Determine h*k(z) + x*w(z). z Let f(c) = c**2 - 5*c. Let y(s) = 2*s**2 - 4*s. Calculate 2*f(u) - 3*y(u). -4*u**2 + 2*u Suppose -12 = 10*k - 7*k. Let u(q) = 2*q. Let j(b) = -1. Let x(a) = -3*j(a) - u(a). Let z(o) = -1 + 5 + 0 - 3*o. Give k*x(m) + 3*z(m). -m Let o(v) = 7*v**3 + 8*v - 8. Let c(i) = -11*i**3 - i + 2*i - 4 + 12*i**3 + 3. What is -40*c(x) + 5*o(x)? -5*x**3 Let p(s) = -8*s**3 - 4*s**2 - 5*s - 6. Let v(y) = 23*y**3 + 11*y**2 + 14*y + 17. What is -17*p(a) - 6*v(a)? -2*a**3 + 2*a**2 + a Let a(m) = -150*m**2 - 7*m - 7. Let f(d) = -50*d**2 - 2*d - 2. Calculate -2*a(k) + 7*f(k). -50*k**2 Let h(c) = c**3 + 7*c**2 - 3*c + 4. Let w(t) = -t**3 - 6*t**2 + 2*t - 3. What is 3*h(z) + 4*w(z)? -z**3 - 3*z**2 - z Let k(s) = 9*s**3 + 6*s**2 + 5*s - 6. Let f(c) = -8*c**3 - 5*c**2 - 5*c + 5. Let z(q) = 6*f(q) + 5*k(q). Let d(j) = -j. What is -5*d(n) + z(n)? -3*n**3 Let b(w) = 10*w**3 + 4*w**2 - 2*w + 5. Let n(y) = -21*y**3 - 9*y**2 + 5*y - 11. Give 9*b(g) + 4*n(g). 6*g**3 + 2*g + 1 Suppose -3*c + 26 = 32. Let r(m) = -9*m**2 + 5*m - 5. Let a(o) = 4*o**2 - 2*o + 2. Calculate c*r(q) - 5*a(q). -2*q**2 Let o(p) = 5*p**2 + 7*p - 7. Suppose 0 = 12*g - 16*g - 24. Let v(y) = 3*y**2 - 4*y - 2. Let m(i) = i**2 - 1. Let d(s) = g*m(s) + v(s). Give 7*d(n) + 4*o(n). -n**2 Let s(f) = -6*f - 25. Let a(n) = -5*n - 25. Calculate 7*a(h) - 6*s(h). h - 25 Let p(w) = -5*w + 8. Let y(z) = -14*z + 23. Determine 17*p(n) - 6*y(n). -n - 2 Let c(h) = -h**2 - 4*h + 6. Let l(p) = -2*p**2 - 9*p + 13. Let n(m) = 13*m. Let y be n(1). Let f = 316 + -322. Determine f*l(q) + y*c(q). -q**2 + 2*q Let o(a) = -a**3 + 7*a**2 + 7*a + 10. Let h be o(8). Suppose -h*n - 10 = -0*n. Let t(l) = -3*l + 10. Let q(k) = -2*k + 7. What is n*t(i) + 7*q(i)? i - 1 Let o(b) = -b. Let c(r) = 2*r**2 + 8*r + 2. Let f = -58 - -59. Give f*c(k) + 6*o(k). 2*k**2 + 2*k + 2 Let v(t) = t + 1. Let l(r) = -6*r. What is -l(n) - 2*v(n)? 4*n - 2 Let t(o) = 2*o + 5. Let x be t(-5). Let w(m) = -m**2 - 3. Let f(z) = -z**2 - 4. Let s(v) = -3*f(v) + 4*w(v). Let u(y) = -4*y**2 + 2*y. Give x*s(j) + u(j). j**2 + 2*j Suppose -5*d - 29 = -4*n + 145, -3*d - 3*n - 99 = 0. Let h = 17 + d. Let z(k) = 7*k - 6. Let v(p) = -20*p + 17. Calcu
{ "pile_set_name": "DM Mathematics" }
n -2918, -0.4, 11, 3? 11 What is the second smallest value in 1/3, 3/103, -512? 3/103 Which is the third biggest value? (a) -2 (b) -0.2 (c) -119/6 (d) -2/2203 (e) 6/7 b Which is the smallest value? (a) 1/2 (b) 5 (c) 715 (d) -6628 d What is the smallest value in -0.032, -5, 90/11, -1, 4, -7? -7 Which is the smallest value? (a) 29 (b) 0.087 (c) -2962 c What is the second smallest value in 40, 0.1, -24/5, 5, 3, -285? -24/5 Which is the third smallest value? (a) -5 (b) 0.171 (c) 1433983 c What is the second biggest value in -0.034, 1/2, 758? 1/2 Which is the biggest value? (a) -2 (b) 2 (c) 5 (d) 0.027 (e) 358 (f) 24 e What is the fourth biggest value in 3, 54, 0.2, 5, 28, 4/9, 4? 4 Which is the third biggest value? (a) 4 (b) 1 (c) -24/14069 (d) 0 d Which is the second smallest value? (a) 2/4037 (b) 2.8 (c) 0.5 (d) -2 a What is the second smallest value in 0.1, 5745, 1/165, -5? 1/165 What is the fifth smallest value in 2, -1/7, 0, -1/3, 4, 142437, 2/3? 2 Which is the second biggest value? (a) 22617 (b) -2 (c) -96 b What is the third smallest value in -60531, 1/5, -3/7, 57? 1/5 What is the third smallest value in -485/6, 271, -0.5, -4? -0.5 What is the second smallest value in -5, -10/29, 1, -22738, 0.4, -1/8? -5 What is the biggest value in -2/23, 0.036962, 2/9, -0.5, 0.3, -2? 0.3 Which is the smallest value? (a) -12/4171 (b) -18 (c) 1 (d) -4/5 b What is the third biggest value in 0.02, 4, -4/61, -9, 1/9? 0.02 Which is the biggest value? (a) 2/3 (b) -12 (c) -1 (d) 2.082 (e) 64 e Which is the third smallest value? (a) 4/3 (b) -1/4 (c) 1/1291 (d) 5030 (e) 2 a What is the smallest value in -28/5, -0.3, -0.5, -4, -0.1, -3/5, -2/3425? -28/5 Which is the third biggest value? (a) 3.4 (b) 2/9 (c) -2/39 (d) -0.29 (e) -3 c What is the third biggest value in -575/17, 3, -6954? -6954 What is the second biggest value in 8898, -0.3, 12, 59? 59 Which is the second biggest value? (a) -0.1 (b) -2/21 (c) 1525/19 (d) 2/3 (e) -16 d What is the fifth biggest value in 16, -6, -51, 5, -3/4, 0.109, -1/5? -3/4 Which is the sixth biggest value? (a) 0 (b) 1/5 (c) 2/45 (d) -138 (e) -1/4 (f) -0.05 d What is the sixth smallest value in -1/3, -864, 0.2, -5, -2.1, -0.3? 0.2 What is the third smallest value in -4, 381, 18, 3/5, 0.5? 3/5 Which is the fifth smallest value? (a) 0.3 (b) 6 (c) -5 (d) 1/3 (e) 3 (f) -50199 (g) -0.1 d What is the fifth biggest value in 5.5, 1.3, -2, 16/49, 1? -2 What is the third smallest value in 0.07, 4/11, -5106, 1/13? 1/13 Which is the biggest value? (a) 2.2 (b) 62 (c) -4/47 (d) -1/4 (e) 1/32 b Which is the biggest value? (a) -5 (b) 2499.13 (c) -1.4 (d) 0.5 b What is the sixth biggest value in 0, -26, -6, -1, -21345, 0.1, 2/13? -26 What is the second smallest value in 1, -0.2, -5, 3125012, 5? -0.2 What is the fifth smallest value in -1, 19264, 0.3, 1/2, 2, -2? 2 What is the fourth smallest value in 4/65, -1/10, 6.13, -12? 6.13 What is the smallest value in 4, 97, 3/13, -39, 2, -0.07, -5/6? -39 What is the second biggest value in 3, -2028, -0.998, -3? -0.998 Which is the second smallest value? (a) 13029 (b) -0.05 (c) -3/2 (d) -12/5 c What is the smallest value in 0.33352, 0, -7/4, -2/3? -7/4 Which is the fourth biggest value? (a) 6.9 (b) -0.11 (c) -4 (d) -5 (e) -1/5 c What is the third smallest value in 0.014, 23, -3/695? 23 Which is the second biggest value? (a) 0 (b) -550720 (c) 5/2 a Which is the second smallest value? (a) 1 (b) 2 (c) 2/23 (d) 3/4 (e) -0.1 (f) -43.566 e Which is the second smallest value? (a) 12 (b) -0.13 (c) -0.45 (d) 0.193 b Which is the second smallest value? (a) 17/15 (b) 0.011 (c) 11.1 (d) 3/7 (e) 0 b What is the second smallest value in 4, 621, 26, 1.99? 4 What is the third biggest value in 18, -5, 3, 0.12, -1/3, -13? 0.12 Which is the smallest value? (a) 437323 (b) 2 (c) -1 (d) 0.1 (e) -3 e What is the second smallest value in -0.079, 2, -3.8, -0.4, -43.4? -3.8 What is the third biggest value in -8, 1/6, -1/2, -28698? -8 What is the smallest value in -3, -7, 71, -3/8, -23? -23 What is the biggest value in 133, 1/3, -18.68, 2? 133 Which is the smallest value? (a) 0.15 (b) 0 (c) -0.204895 (d) -4 d Which is the biggest value? (a) 10 (b) -144801 (c) -13 (d) 0 (e) 4 a What is the second biggest value in 1998, 65623, -2/13? 1998 Which is the second smallest value? (a) -0.2 (b) 3/2 (c) 450165 b What is the smallest value in 6, -3/2, 522655, 0.3, -2/5? -3/2 Which is the third biggest value? (a) 1 (b) 0.16 (c) 112546 (d) 4 a Which is the third smallest value? (a) 1471 (b) -2/4949 (c) 1/19 (d) -2 c What is the seventh smallest value in -245/4, 2, -2/15, -172, -2, -0.4, -0.1? 2 What is the third biggest value in 0.13, -5, -2/15, 1, -1962, 4/5? 0.13 Which is the third biggest value? (a) 1.4 (b) -0.09 (c) 14 (d) 2/1559 d Which is the third biggest value? (a) -2 (b) 2 (c) -1/2 (d) 204 (e) -97 (f) 1191 b Which is the seventh smallest value? (a) -1 (b) 2/3 (c) -1/2 (d) 1/5 (e) 2 (f) -1197 (g) 1/2 e Which is the second smallest value? (a) -3 (b) -1 (c) -3/2 (d) 52319 (e) 3 c What is the smallest value in -2, 14, 0, 2, 99/5? -2 Which is the third smallest value? (a) 419 (b) -1/5 (c) -0.3 (d) -97 (e) -0.93 c What is the third smallest value in 228/757, -2, -142, 5? 228/757 Which is the second smallest value? (a) -12 (b) -0.2 (c) -2 (d) -7 (e) -4.922 d What is the smallest value in 4, -0.12, 16.99, -32/27? -32/27 What is the biggest value in 21306, -5, -3, -0.41, 2/9? 21306 Which is the fourth smallest value? (a) 9 (b) 2 (c) -3 (d) 5 (e) -160 (f) -36/7 (g) -0.1 g What is the smallest value in -0.24, -16, -1/302, 3/5, 5? -16 What is the fifth biggest value in 0.5, -32, -3.6, -0.2, 25/8? -32 What is the smallest value in -32, 14, 36, 0, -1.6? -32 Which is the third smallest value? (a) -1168 (b) -2 (c) 2 (d) 23/108 d What is the second smallest value in 0, 27/11, -0.3, -8.5, 5? -0.3 Which is the third smallest value? (a) -28 (b) 1619 (c) -0.001 b What is the fourth biggest value in -1092, 2.2, -6, -0.06? -1092 What is the second biggest value in -1.335, 48, 0.5, 62, 3? 48 What is the second biggest value in 34359274, -1, 0.1? 0.1 What is the third biggest value in 0.3, 11561623, -1/6, 1/7? 1/7 What is the second biggest value in 0.01, -2/47, -4, 947, -2/13, 0, -8? 0.01 What is the fourth biggest value in 0.1, -59, 2, 1, 4, 2/55? 0.1 Which is the sixth biggest value? (a) -0.4 (b) 4 (c) -7 (d) 1787 (e) 4/87 (f) 1/3 c Which is the second smallest value? (a) -2/3 (b) 2/9 (c) -0.8 (d) 43 (e) -0.7 (f) -14 c Which is the third smallest value? (a) -437/425 (b) -9 (c) 1/3 c What is the second biggest value in 108, 15/17, -0.1, -135? 15/17 What is the fourth biggest value in 3, 0.2, 1.28, 55, 2, 6/7, 0.07? 1.28 Which is the second biggest value? (a) -0.05 (b) -645/8 (c) -0.11 c Which is the fifth smallest value? (a) -1 (b) -0.5549543 (c) 3 (d) 5 (e) 1/4 d What is the fourth biggest value in 0.1, 1, 6, 21/8, -12897, 3? 1 What is the third biggest value in -0.19, -10772, 0.19, -3, 2/7? -0.19 What is the second biggest value in 4, 23/4, 3/8, -5/6, 2, 0.32, 8? 23/4 What is the smallest value in 16096/5, 13, -0.1? -0.1 Which is the second smallest value? (a) -5312/11 (b) 0 (c) 2/41 (d) -2/5 d Which is the fourth biggest value? (a) -1 (b) 2554 (c) -15 (d) -2 c What is the sixth biggest value in 2/3, -7, -13, 0.349, -4/7, -5? -13 Which is the biggest value? (a) 0.4 (b) -1/7 (c) 0 (d) -132718 (e) 0.2 (f) -4 (g) 2 g What is the third smallest value in 0.1, -173241719, 0.3? 0.3 What is the smallest value in 605, -2, 71, 4, -5, -1/8? -5 Which is the second biggest value? (a) 4/51 (b) -0.4 (c) -0.009767 c Which is the third smallest value? (a) 4 (b) -0.03 (c) 62 (d) 175 (e) -0.08 a What is the third biggest value in 137, 2, -6.053? -6.053 Which is the sixth biggest value? (a) 84/5 (b) 0.2 (c) -2 (d) 3.365 (e) 4 (f) -5 (g) 1/4 c What is the second smallest value in -12, -3/5, -0.591, -7.91? -7.91 What is the third smallest value in 56, -0.4, -3/5, -1, 5/44, -3? -3/5 What is the seventh smallest value in 0.5, -4, -49/6, 1/3, 0.1, 33, -3? 33 W
{ "pile_set_name": "DM Mathematics" }
1, a: 1, q: 11}. What is prob of picking 1 i and 1 q? 11/78 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from lpxwf. 1/10 Two letters picked without replacement from fzgxhhz. Give prob of picking 1 g and 1 h. 2/21 Three letters picked without replacement from moogmmmggoyyoe. Give prob of picking 2 m and 1 e. 3/182 Calculate prob of picking 3 l and 1 i when four letters picked without replacement from lifdp. 0 Two letters picked without replacement from {t: 12, j: 6}. What is prob of picking 2 j? 5/51 Four letters picked without replacement from {x: 14, g: 5}. What is prob of picking 2 x and 2 g? 455/1938 Calculate prob of picking 1 r, 1 o, and 2 a when four letters picked without replacement from oaaroaaraoooaooaaa. 14/85 Four letters picked without replacement from wxwiwiw. Give prob of picking 3 w and 1 i. 8/35 Two letters picked without replacement from dghdkgvkhkfk. Give prob of picking 1 g and 1 h. 2/33 Two letters picked without replacement from pprpprpp. What is prob of picking 2 r? 1/28 Two letters picked without replacement from {f: 1, j: 2}. Give prob of picking 1 f and 1 j. 2/3 Calculate prob of picking 1 f and 1 k when two letters picked without replacement from ksnynfyknynssnn. 2/105 Calculate prob of picking 1 y, 1 s, and 1 i when three letters picked without replacement from iyggsyila. 1/21 Calculate prob of picking 1 p and 3 y when four letters picked without replacement from yyppyyypypy. 14/33 What is prob of picking 1 d, 1 w, and 1 z when three letters picked without replacement from pwxppzpppppzxpzppd? 1/272 Four letters picked without replacement from {u: 3, m: 9, a: 2, i: 2, j: 3}. What is prob of picking 1 i and 3 j? 1/1938 Calculate prob of picking 4 p when four letters picked without replacement from pppppppvppppppvv. 11/28 Two letters picked without replacement from lldlllkdlvkdkk. What is prob of picking 2 d? 3/91 Calculate prob of picking 1 v and 3 g when four letters picked without replacement from ggvgm. 1/5 What is prob of picking 1 i and 1 p when two letters picked without replacement from iip? 2/3 What is prob of picking 1 d and 1 s when two letters picked without replacement from {s: 1, t: 5, d: 5}? 1/11 Two letters picked without replacement from {r: 2, f: 10, g: 4}. Give prob of picking 2 g. 1/20 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from ttgptafgtgtbfag. 4/105 What is prob of picking 1 s, 1 p, and 1 f when three letters picked without replacement from sfapfpasf? 1/7 Two letters picked without replacement from {w: 1, o: 9, u: 4}. Give prob of picking 2 o. 36/91 What is prob of picking 1 g and 1 x when two letters picked without replacement from {g: 5, s: 1, x: 4, t: 1}? 4/11 Four letters picked without replacement from mkrrvrmvurrkrmrrrrw. What is prob of picking 1 v, 1 r, 1 m, and 1 k? 10/323 Calculate prob of picking 1 o, 1 n, and 1 u when three letters picked without replacement from ooiuunodnddiu. 9/143 What is prob of picking 1 p and 3 b when four letters picked without replacement from pbbpbpopboppp? 28/715 Two letters picked without replacement from sccsccs. What is prob of picking 1 c and 1 s? 4/7 What is prob of picking 1 j and 1 f when two letters picked without replacement from feqfefviqfjfq? 5/78 Two letters picked without replacement from {j: 4, o: 3, u: 1, l: 2, q: 6}. Give prob of picking 1 q and 1 j. 1/5 Four letters picked without replacement from zwwzwzzzzz. Give prob of picking 4 z. 1/6 What is prob of picking 3 w when three letters picked without replacement from qqwwwwwwwwwwwwwwww? 35/51 What is prob of picking 1 m, 1 s, and 1 a when three letters picked without replacement from {a: 9, m: 4, h: 1, s: 3, b: 2}? 36/323 Four letters picked without replacement from ttfifiittifti. What is prob of picking 2 i and 2 t? 20/143 Four letters picked without replacement from {u: 2, o: 4, y: 4}. Give prob of picking 2 y and 2 o. 6/35 Calculate prob of picking 1 o, 1 c, and 1 p when three letters picked without replacement from pcofvpg. 2/35 Two letters picked without replacement from {c: 2, e: 10, w: 3, l: 1, p: 1, a: 2}. What is prob of picking 1 w and 1 p? 1/57 What is prob of picking 2 c, 1 t, and 1 v when four letters picked without replacement from cpprcvccvcrctthppcc? 28/969 Four letters picked without replacement from uhuuhhuhuuuhuhulww. Give prob of picking 1 h and 3 u. 14/85 Calculate prob of picking 2 m and 1 u when three letters picked without replacement from ummmuuummuumummmmuu. 135/323 Three letters picked without replacement from yjzjszxp. What is prob of picking 1 s, 1 p, and 1 x? 1/56 Two letters picked without replacement from wcccwwzwczwzvvwczcv. What is prob of picking 2 z? 2/57 What is prob of picking 1 j and 1 l when two letters picked without replacement from {e: 1, h: 3, j: 1, t: 3, l: 2}? 2/45 Two letters picked without replacement from nnnuun. What is prob of picking 1 n and 1 u? 8/15 What is prob of picking 2 g when two letters picked without replacement from ggffrrfgrrrg? 1/11 What is prob of picking 2 j and 1 h when three letters picked without replacement from qhqhhqhghhjjl? 3/143 What is prob of picking 4 d when four letters picked without replacement from {z: 7, u: 3, d: 8}? 7/306 Two letters picked without replacement from jmjerrjtjejejrjueejt. Give prob of picking 1 u and 1 m. 1/190 Four letters picked without replacement from kaakaaakaa. What is prob of picking 1 k and 3 a? 1/2 What is prob of picking 1 t, 1 g, and 1 z when three letters picked without replacement from tpgptfznppgtptpzn? 2/85 Three letters picked without replacement from {t: 8, r: 2}. What is prob of picking 3 t? 7/15 Four letters picked without replacement from xrrxqrrn. What is prob of picking 1 n and 3 r? 2/35 Four letters picked without replacement from hmhnn. What is prob of picking 2 n and 2 h? 1/5 Calculate prob of picking 1 f, 1 l, and 2 a when four letters picked without replacement from ahfpffahffhli. 1/143 What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 1, j: 1, k: 2, l: 2, e: 1}? 2/21 What is prob of picking 1 p and 1 h when two letters picked without replacement from phiaitll? 1/28 Two letters picked without replacement from {u: 2, c: 1, m: 1, b: 1, f: 1, g: 1}. What is prob of picking 1 f and 1 b? 1/21 Two letters picked without replacement from {n: 6}. What is prob of picking 2 n? 1 Three letters picked without replacement from ssppssssokosksssssao. Give prob of picking 1 o and 2 p. 1/380 Two letters picked without replacement from pagaaaaragggagpaggga. Give prob of picking 1 p and 1 a. 9/95 Calculate prob of picking 4 t when four letters picked without replacement from {h: 3, t: 1, o: 1, g: 2, u: 2, w: 3}. 0 Two letters picked without replacement from {p: 2, b: 1, q: 1, e: 1}. Give prob of picking 1 b and 1 q. 1/10 What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 4, l: 1, r: 5}? 4/9 Three letters picked without replacement from qqrqqqqqrqqqqqqqqq. Give prob of picking 3 r. 0 Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fly. 1/3 What is prob of picking 2 n when two letters picked without replacement from nenennnnnnnn? 15/22 Four letters picked without replacement from zzxxzzxxxx. What is prob of picking 2 z and 2 x? 3/7 Four letters picked without replacement from vvdvmywywv. What is prob of picking 3 v and 1 d? 2/105 Four letters picked without replacement from gmxxmmmom. Give prob of picking 1 g and 3 m. 5/63 Calculate prob of picking 2 s when two letters picked without replacement from {k: 2, s: 5}. 10/21 Three letters picked without replacement from {i: 4, z: 7, f: 7}. Give prob of picking 1 f and 2 i. 7/136 Calculate prob of picking 1 w and 2 c when three letters picked without replacement from chhhhchchhhccwhw. 1/28 What is prob of picking 1 d and 1 t when two letters picked without replacement from thhdhhdd? 3/28 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {r: 1, f: 1, h: 1}. 1/3 Calculate prob of picking 4 m when four letters picked without replacement from mmnmbmnmbnnnbmnbm. 1/68 Calculate prob of picking 1 b and 2 m when three
{ "pile_set_name": "DM Mathematics" }
der when 306 is divided by 13? 7 What is the remainder when 68 is divided by 10? 8 What is the remainder when 501 is divided by 63? 60 Calculate the remainder when 144 is divided by 19. 11 Calculate the remainder when 14013 is divided by 24. 21 Calculate the remainder when 873 is divided by 38. 37 What is the remainder when 5667 is divided by 2831? 5 Calculate the remainder when 285 is divided by 27. 15 What is the remainder when 1041 is divided by 6? 3 Calculate the remainder when 471 is divided by 118. 117 What is the remainder when 241 is divided by 116? 9 What is the remainder when 173 is divided by 66? 41 What is the remainder when 31094 is divided by 426? 422 Calculate the remainder when 1651 is divided by 46. 41 What is the remainder when 1677 is divided by 80? 77 Calculate the remainder when 1580 is divided by 14. 12 What is the remainder when 677 is divided by 116? 97 What is the remainder when 166 is divided by 49? 19 What is the remainder when 236 is divided by 34? 32 What is the remainder when 1993 is divided by 993? 7 What is the remainder when 695 is divided by 50? 45 Calculate the remainder when 2841 is divided by 14. 13 What is the remainder when 248 is divided by 50? 48 What is the remainder when 106 is divided by 56? 50 Calculate the remainder when 102 is divided by 53. 49 Calculate the remainder when 474 is divided by 41. 23 Calculate the remainder when 188 is divided by 8. 4 Calculate the remainder when 803 is divided by 4. 3 What is the remainder when 1332 is divided by 29? 27 Calculate the remainder when 83 is divided by 30. 23 Calculate the remainder when 1024 is divided by 10. 4 Calculate the remainder when 1212 is divided by 24. 12 Calculate the remainder when 362 is divided by 57. 20 What is the remainder when 3688 is divided by 30? 28 Calculate the remainder when 240 is divided by 115. 10 Calculate the remainder when 82 is divided by 74. 8 Calculate the remainder when 53 is divided by 8. 5 Calculate the remainder when 458 is divided by 11. 7 What is the remainder when 1045 is divided by 121? 77 Calculate the remainder when 266 is divided by 36. 14 What is the remainder when 615 is divided by 73? 31 What is the remainder when 10709 is divided by 34? 33 Calculate the remainder when 1705 is divided by 34. 5 What is the remainder when 806 is divided by 262? 20 Calculate the remainder when 2194 is divided by 36. 34 Calculate the remainder when 506 is divided by 166. 8 What is the remainder when 195 is divided by 34? 25 What is the remainder when 5414 is divided by 8? 6 What is the remainder when 5 is divided by 4? 1 What is the remainder when 508 is divided by 3? 1 What is the remainder when 614 is divided by 56? 54 Calculate the remainder when 2913 is divided by 11. 9 What is the remainder when 47 is divided by 27? 20 What is the remainder when 736 is divided by 186? 178 Calculate the remainder when 224 is divided by 38. 34 What is the remainder when 36 is divided by 19? 17 Calculate the remainder when 372 is divided by 95. 87 What is the remainder when 2680 is divided by 888? 16 What is the remainder when 4937 is divided by 53? 8 Calculate the remainder when 738 is divided by 20. 18 What is the remainder when 2992 is divided by 158? 148 Calculate the remainder when 162 is divided by 44. 30 Calculate the remainder when 948 is divided by 161. 143 What is the remainder when 79 is divided by 22? 13 What is the remainder when 4221 is divided by 48? 45 What is the remainder when 871 is divided by 130? 91 What is the remainder when 108 is divided by 43? 22 Calculate the remainder when 1150 is divided by 81. 16 Calculate the remainder when 1590 is divided by 4. 2 Calculate the remainder when 189 is divided by 19. 18 What is the remainder when 242 is divided by 128? 114 Calculate the remainder when 797 is divided by 16. 13 What is the remainder when 978 is divided by 480? 18 What is the remainder when 727 is divided by 363? 1 What is the remainder when 415 is divided by 83? 0 What is the remainder when 3210 is divided by 13? 12 Calculate the remainder when 1263 is divided by 83. 18 What is the remainder when 131 is divided by 113? 18 What is the remainder when 1333 is divided by 20? 13 What is the remainder when 857 is divided by 145? 132 What is the remainder when 343 is divided by 51? 37 Calculate the remainder when 136 is divided by 79. 57 Calculate the remainder when 223 is divided by 26. 15 Calculate the remainder when 3262 is divided by 102. 100 What is the remainder when 10065 is divided by 7? 6 Calculate the remainder when 18214 is divided by 92. 90 Calculate the remainder when 2076 is divided by 65. 61 Calculate the remainder when 70 is divided by 62. 8 Calculate the remainder when 1323 is divided by 39. 36 What is the remainder when 2538 is divided by 41? 37 Calculate the remainder when 2912 is divided by 162. 158 Calculate the remainder when 2076 is divided by 31. 30 Calculate the remainder when 231 is divided by 66. 33 Calculate the remainder when 353 is divided by 26. 15 What is the remainder when 80 is divided by 6? 2 What is the remainder when 249 is divided by 41? 3 Calculate the remainder when 184 is divided by 19. 13 Calculate the remainder when 1627 is divided by 397. 39 What is the remainder when 158 is divided by 8? 6 Calculate the remainder when 1407 is divided by 39. 3 What is the remainder when 2450 is divided by 145? 130 Calculate the remainder when 1295 is divided by 65. 60 Calculate the remainder when 156 is divided by 17. 3 Calculate the remainder when 167 is divided by 7. 6 Calculate the remainder when 466 is divided by 67. 64 Calculate the remainder when 96 is divided by 6. 0 Calculate the remainder when 195 is divided by 54. 33 What is the remainder when 797 is divided by 6? 5 What is the remainder when 1011 is divided by 73? 62 Calculate the remainder when 461 is divided by 450. 11 Calculate the remainder when 2127 is divided by 26. 21 What is the remainder when 51448 is divided by 245? 243 What is the remainder when 250 is divided by 44? 30 Calculate the remainder when 66 is divided by 59. 7 What is the remainder when 159 is divided by 23? 21 What is the remainder when 250 is divided by 42? 40 What is the remainder when 1273 is divided by 56? 41 Calculate the remainder when 261 is divided by 84. 9 Calculate the remainder when 169 is divided by 25. 19 Calculate the remainder when 80 is divided by 43. 37 Calculate the remainder when 7361 is divided by 37. 35 What is the remainder when 418 is divided by 24? 10 What is the remainder when 1327 is divided by 634? 59 Calculate the remainder when 78 is divided by 26. 0 What is the remainder when 136 is divided by 45? 1 What is the remainder when 2098 is divided by 11? 8 What is the remainder when 424 is divided by 101? 20 Calculate the remainder when 109 is divided by 4. 1 Calculate the remainder when 1685 is divided by 42. 5 Calculate the remainder when 376 is divided by 43. 32 What is the remainder when 214 is divided by 7? 4 What is the remainder when 350 is divided by 116? 2 What is the remainder when 6511 is divided by 296? 295 Calculate the remainder when 350 is divided by 39. 38 What is the remainder when 45 is divided by 16? 13 Calculate the remainder when 66 is divided by 35. 31 Calculate the remainder when 277 is divided by 40. 37 What is the remainder when 137 is divided by 49? 39 Calculate the remainder when 1021 is divided by 14. 13 Calculate the remainder when 269 is divided by 73. 50 What is the remainder when 930 is divided by 104? 98 Calculate the remainder when 614 is divided by 47. 3 Calculate the remainder when 112 is divided by 25. 12 Calculate the remainder when 517 is divided by 202. 113 What is the remainder when 118 is divided by 94? 24 Calculate the remainder when 718 is divided by 354. 10 Calculate the remainder when 127 is divided by 72. 55 What is the remainder when 80 is divided by 52? 28 What is the remainder when 452 is divided by 35? 32 What is the remainder when 662 is divided by 18? 14 What is the remainder when 35529 is divided by 27? 24 Calculate the remainder when 805 is divided by 158. 15 Calculate the remainder when 1946 is divided by 33. 32 Calculate the remainder when 185 is divided by 50. 35 Calculate the r
{ "pile_set_name": "DM Mathematics" }
+ 6*y**2 + y**2 - 6*y**2. Give c(4). 0 Let n = -20 + 36. Let q(x) = -2 - x**3 - 3 + n - 9 + x**2. Calculate q(3). -16 Let r(i) = -3*i**2 - i. Let g(d) = d - 6. Let k be g(8). Suppose 1 = -k*v + v. Give r(v). -2 Let h(q) = 0*q + 2 - 49*q**2 + 50*q**2 - 6*q - 1. Give h(8). 17 Suppose -3*y = 26 - 5. Let c(b) be the second derivative of b**5/120 + 5*b**4/12 - b**3/6 - 19*b. Let q(n) be the second derivative of c(n). What is q(y)? 3 Let o(c) = 2*c**2 - c. Let n(v) = 9*v**2 - 15*v - 11. Let h(l) = -n(l) + 5*o(l). Calculate h(-7). -10 Let g(i) = 2*i - 2. Let r(u) = -5*u - 10. Let k(t) = 4*g(t) + r(t). Determine k(7). 3 Let o = 7 + -11. Let t(f) be the third derivative of f**5/15 + f**4/6 + f**3/6 - 26*f**2. Let r(b) = -2*b**2 + 1. Let x(l) = r(l) + t(l). Calculate x(o). 18 Let z(y) = y - 6. Let o(g) = g - 7. Let t(b) = 3*o(b) - 4*z(b). Give t(3). 0 Let z(d) = -d**3 + 1181*d**2 + 3 - 1181*d**2. Determine z(3). -24 Let c(d) = 5*d**2 - 54*d - 6. Let n(r) = r**2 - 10*r - 1. Let a(s) = -2*c(s) + 11*n(s). What is a(3)? 4 Let w(z) = z**2 + 6*z + 6. Suppose 0 = -2*b - b. Suppose -3*x = 3, -3*x + 7 = -b*c - 5*c. Let n be (-1)/((-2)/5)*c. What is w(n)? 1 Let b(c) = -4 + 5813*c**2 - 5809*c**2 - 3 + 2 - 17*c**3. Let o(t) = -17*t**3 + 3*t**2 - 4. Let i = 13 - 7. Let x(m) = i*o(m) - 5*b(m). Calculate x(1). -18 Suppose 0 = 5*f - 4*f - 19. Suppose 2*c - 3*h = -0*c - 17, h = 4*c + f. Let m(p) = p**2 + 2*p - 2. What is m(c)? 6 Let o(w) = 11*w - 22. Let m be o(2). Let z(y) = -y**3 + y**2 + y + 10. Calculate z(m). 10 Suppose 0 = 81*z - 76*z - 35. Let n(c) = c - 5. Determine n(z). 2 Let x(i) = -12*i + 140. Let y be x(12). Let a(s) = -s**3 - 6*s**2 - 12*s - 10. What is a(y)? 6 Let d(m) = -6*m - 34. Let t be d(-7). Let h(f) = f**2 - 10*f. Give h(t). -16 Let d(v) = 7*v**2 + 26*v + 29. Let l(t) = 4*t**2 + 13*t + 15. Let b(w) = 3*d(w) - 5*l(w). Calculate b(-12). 0 Suppose 4*t = -4, 0*r - 4*r + 20 = 4*t. Let v(l) = r - l + 2*l - l - l. Give v(5). 1 Let a be (-512)/56 - ((-24)/(-4))/(-42). Let u(r) = -r**3 - 10*r**2 - 5*r + 4. Give u(a). -32 Let b(h) = h**2 + 5*h - 9. Let x(d) be the first derivative of -5*d**2/2 - 2*d - 91. Suppose 4*k = 1 - 5, 2*k = g - 3. Let o be x(g). Determine b(o). 5 Let t(n) be the second derivative of 0 - 1/20*n**5 + 4*n + 0*n**3 + 2/3*n**4 - 2*n**2. Determine t(8). -4 Let v be 2 - (2 - -20) - -4. Let m = -11 - v. Let n(l) = m*l**2 - 6*l - l**3 + 5*l - 7 + 6*l. Calculate n(6). -13 Let x(g) = g + 1. Let j(q) = -q - 2 + 7*q + 5 - q. Let p(z) = -j(z) + 4*x(z). Suppose 0 = 5*a - 3 - 7. Determine p(a). -1 Suppose 4*s + 2*q + 106 = -0*q, -3*q = 15. Let k be s/(-14) - (-2)/7. Let a(u) = -16*u**2 + 14*u**k + 3*u - 4*u. Determine a(2). -10 Let s(x) = 5*x - 7. Let g(j) = -26*j + 41. Let l(t) = -26*t + 40. Let y(i) = 5*g(i) - 6*l(i). Let f(a) = -11*s(a) + 2*y(a). Determine f(6). -11 Suppose 2*f + 8 = 4. Let v be (f + 1 - 0)*-2. Let r(a) = -3*a + 1 - v + 1. What is r(-1)? 3 Let n(z) = 4*z**2 + z + 3. Let g(q) = 3*q**2 + q + 3. Let m(u) = 5*g(u) - 4*n(u). Give m(3). -3 Let c(f) = 418 + 2*f - 421 + 4*f - 5*f. Let l(v) = v - 1. Let h be l(1). What is c(h)? -3 Let g(r) = r**2 + 7*r + 7. Let o be (8/(-6))/((-16)/24). Suppose -11 = 3*x - 4*b, -x - o*b = -0*x + 7. Calculate g(x). -3 Suppose -2*h - 9 = -11. Let p be (6/(-5))/(3/10). Let l = h - p. Let z(k) = -2*k**2 + 8*k - 3. Calculate z(l). -13 Let x(h) = h**2 - h - 5. Let r = 10 - 8. Suppose -6*c + r*c - 9 = -5*g, 5*c + 5*g = 45. Suppose 0*u - c*o = 2*u - 12, 2*u - 15 = -5*o. What is x(u)? -5 Let r be -6 + (9/(-27))/(1/(-3)). Let n be (-4 - r)/((-2)/(-8)). Let z(d) = 4*d + 4. Calculate z(n). 20 Suppose q = 4*j - 31, 10*j = 8*j + q + 17. Let k(o) = o**2 - 5*o - 3. Calculate k(j). 11 Let f(v) = 2*v**2 + v - 1. Let l(y) = -5*y**2 - 3. Let g(a) = 3*f(a) + l(a). Suppose 2*b + 4 = -8. What is g(b)? 12 Let c(m) = -20*m + 7 + 9*m + 4*m + 6*m - 14. Give c(-7). 0 Let s(i) = -i**3 - i**2 + i + 1. Suppose 405*q = 425*q - 60. Determine s(q). -32 Let t(u) = 2*u - u - 2 + 3*u - 2*u. Let l(j) = j**2 + j. Let x(o) = o**3 - 2*o**2 - 6*o + 3. Let v(p) = -6*l(p) - x(p). Let q be v(-4). What is t(q)? -8 Let i(o) = -137*o**2 + 1 - 134*o**2 + 274*o**2. Determine i(1). 4 Let t(o) be the first derivative of -o**3/3 - 2*o**2 + 4*o - 1185. Suppose -2*l + 5*a - 16 = 2*a, 0 = 3*l + 2*a + 11. What is t(l)? -1 Let l(t) = -4*t + 0 + 0 + 15*t. Calculate l(-2). -22 Let w(p) = -2 - 4*p - 2*p + 3. Let g(b) = -2*b - 3. Let k = -26 - -25. Let s be g(k). What is w(s)? 7 Let b(l) = l**3 + 2*l**2 - 3*l - 2. Let n be b(-3). Let r(v) be the second derivative of -v**5/20 - v**4/4 - v**3/2 - v**2/2 + 18*v - 3. Determine r(n). 1 Let p(f) = -21430 - f + 21433 - 5*f. Give p(8). -45 Let v(w) = -4*w + 26. Let h = 3 - -1. Let c(i) = -3*i + 0 + 0 - 5 + h*i. Let z(d) = 11*c(d) + 2*v(d). What is z(4)? 9 Let d(k) = k**3 - 15*k**2 + 13*k + 12. Let b be ((-7)/(-5))/((-40)/(-100))*4. Calculate d(b). -2 Let f(a) = -a**2 + 7*a - 3. Let m be f(5). Let t(b) = -7*b**2 - 18*b + 14. Let w(v) = -3*v**2 - 9*v + 7. Let l(u) = 4*t(u) - 9*w(u). Determine l(m). 7 Let o(i) = i**3 - 8*i**2 + 3*i + 11. Let t(j) = j**3 - 10*j**2 + 4*j + 13. Let y(s) = 6*o(s) - 5*t(s). Let c = 5 - 8. Give y(c). -2 Suppose -a + 3*a - 10 = 0. Let i(m) = 4*m - 2. Let f(w) = -2*w + 1. Let c(j) = a*f(j) + 3*i(j). Calculate c(-6). -13 Suppose c - 24 = -2*n, -3*c - n + 120 = 2*c. Suppose 12 = 6*w - c. Let j(h) = h**3 - 6*h**2 + 2*h. Calculate j(w). 12 Let o(n) be the first derivative of n**3/3 - 5*n**2 + 3*n - 86. Let p be 9 + (-5 + 4 - -2). Calculate o(p). 3 Let j(f) be the first derivative of f**3/3 - 4*f**2 - 3*f - 1. Let k = 27 + -19. What is j(k)? -3 Suppose 3*z = 2*v + 4, -2*z + 5*v - 22 + 10 = 0. Let j(m) = 2*m**2 + 1. Calculate j(z). 33 Let q be ((27 - 3)/(-4))/((-2)/6). Suppose -q = -h - 2*h. Let m(c) = -c**3 + 7*c**2 - 6*c - 4. Determine m(h). -4 Let g(z) be the second derivative of 1/12*z**4 + 0 - 2*z**2 - 7*z + 2/3*z**3. Determine g(-4). -4 Let c(w) = 33*w**3 - 4*w**2 - 3*w - 16*w**3 - 3 - 18*w**3. Let j be c(-2). Let a(u) = u + 5*u - 2*u**2 + 7 + 3*u**2. Calculate a(j). 2 Let l(n) = -15*n**3 - n**2 - 23*n + 1. Let s(m) = -10*m - m**2 + 1 - 8*m - 7*m**3 + 9*m - 2*m. Let g(x) = 6*l(x) - 13*s(x). Calculate g(-6). -1 Let l(y) = -3*y - 9. Suppose 0*v + 30 = -5*v. Give l(v). 9 Let l(u) = u**2 - u + 1. Let s(j) = 10*j + 3. Let g(c) = l(c) + s(c). Give g(-8). -4 Let b(u) = 3*u - 11. Suppose 75 = 5*z + 10*z. What is b(z)? 4 Let w(r) = r**3 + r**2 + r - 1. Suppose -l + 2*s = -11, 4*l + s - 9 = 2*s. Calculate w(l). 2 Let n be (-2)/(((-4)/5)/(6/(-5))). Let d(x) = -9*x**2 - 21*x - 8. Let h = 4 + -1. Let a(t) = 4*t**2 + 10*t + 4. Let p(c) = h*d(c) + 7*a(c). Give p(n). -8 Let h(d) be the third derivative of -d**6/120 - d**5/12 + d**4/24 + 2*d**3/3 - 3*d**2 - 11. Calculate h(-6). 34 Let u(y) = y**2 + 2*y. Let j = 15 + -19. Let f be 6/2*j/6. Let g = -5 - f. What is u(g)? 3 Suppose 0 = -4*j + 82 - 74. Let c(g) = 2*g**2 + 2*g - 1. What is c(j)? 11 Let m(i) = 6*i + 45 - 88 + i**2 - 2*i - 20*i + 49. Calculate m(17). 23 Let d(l) = -6*l**2 + 2*l + 2. Suppose -7*p - 10 + 3 = 0. Give d(p). -6 Let u(g) be the second derivative of 7/24*g**4 - 2*g + 0 - 5/3*g**3 - 4*g**2 + 1/60*g**5. Let x(j) be the first derivative of u(j). What is x(-8)? -2 Let c(s) be the third derivative of -s**5/60 + s**4/4 + s**3/6 + 27*s**2. Let j = 40 - 56. Let v = -10 - j. What is c(v)? 1 Let q(r) = -2 + 3*r + 7 - 32. Give q(7). -6 Let w be (23/2*(-5 - -1))/(-2). Let i(l) = -26 - w + l + 61. What is i(0)? 12 Let y = -417 + 419. Let u(z) = 2*z**3 - 3*z**2 - z + 3. Give u(y). 5 Suppose -38*m - 24 = 4*r - 36*m, 0 = 3*r + 2*m + 20. Let x(l) = -l. What is x(r)? 4 Let q(x) = 2*x - 12. Let p(o) = -5*o + 38. Let y(w) = 3*p(w) + 8*q(w). What is y(0)? 18 Let l(b) be the first derivative of 11*b**2/2 - 2*b - 9. Let v(m) = -12*m + 2. Let y(k) = -4*l(k) - 3*v(k). Determine y(2). -14 Let o = 36 - 37. Let c = -4 + o. Let b(a) = 6 + 5*a**2 - a**3 - 3*a + 2*a**3 + 4*a. Determine b(c). 1 Let x(b) = 41 - b**2 - b**3 - 7*b + 3*b - 33 + 3*b. Determine x(0). 8 Let y(g) = -3 - g + 6 - 9. Let d be y(-9). Let b(k) = -d - 2*k + 8 - k + k. What is b(5)? -5 Let o(f) = -4*f**3 - 10*f**2 - 8*f + 4. Let d(u) = u**3 + u**2 + u. Let x be (1 + 2/(-6))/((-30)/45). Let s(w) = x*o(w) -
{ "pile_set_name": "DM Mathematics" }
2 rounded to three dps? 0.036 Round 0.0286879281 to three dps. 0.029 What is 0.00000494942843 rounded to seven dps? 0.0000049 Round 0.000000000662977 to seven decimal places. 0 Round -167033.845 to the nearest ten thousand. -170000 What is -10597.8899 rounded to the nearest 10? -10600 Round 952.8665617 to the nearest 100. 1000 What is 13908.01262 rounded to the nearest 10? 13910 What is -0.207903854 rounded to three decimal places? -0.208 What is 0.0000234879244 rounded to 6 dps? 0.000023 What is -75.1873159 rounded to the nearest 10? -80 What is -1.108251265 rounded to four dps? -1.1083 Round -0.0002836760786 to five decimal places. -0.00028 What is -68356287.9 rounded to the nearest one hundred thousand? -68400000 What is 0.0000334241629 rounded to 7 dps? 0.0000334 What is 1376.79702 rounded to one decimal place? 1376.8 What is -0.770692425 rounded to 3 decimal places? -0.771 What is -379435.512 rounded to the nearest 100? -379400 Round -0.50186407 to two decimal places. -0.5 Round 0.00060675555 to four decimal places. 0.0006 What is 130645.557 rounded to the nearest one hundred? 130600 Round -14.71209293 to 2 decimal places. -14.71 What is 44018715.5 rounded to the nearest one hundred thousand? 44000000 What is -0.000078787389 rounded to six decimal places? -0.000079 Round 0.7107502359 to four decimal places. 0.7108 Round 0.122913449 to 4 decimal places. 0.1229 What is -61.012567 rounded to the nearest integer? -61 Round 700.870495 to 1 dp. 700.9 Round -10460.179 to the nearest one thousand. -10000 What is 16948610200 rounded to the nearest 1000000? 16949000000 What is -3754.484971 rounded to the nearest 100? -3800 What is 82554.81 rounded to the nearest one hundred? 82600 Round -0.0041749996 to six dps. -0.004175 Round -2931.63192 to the nearest 10. -2930 What is 0.521836406 rounded to 1 decimal place? 0.5 What is -5.6775516 rounded to 0 dps? -6 What is -22.965137 rounded to the nearest integer? -23 Round -428723.662 to the nearest 100000. -400000 Round -0.00057174539 to 4 dps. -0.0006 Round 4942.22177 to the nearest integer. 4942 Round -4.818837019 to two decimal places. -4.82 Round -17.9561047 to the nearest 10. -20 What is 30.2841694 rounded to one dp? 30.3 What is 4.60436522 rounded to zero dps? 5 Round 2083.82831 to the nearest 10. 2080 What is -413330.84 rounded to the nearest 100? -413300 Round -3003739.42 to the nearest 100. -3003700 What is 0.00000045175786 rounded to 7 decimal places? 0.0000005 Round -67131.78 to the nearest 100. -67100 Round 42015251 to the nearest 10000. 42020000 What is 0.0000198875432 rounded to 7 decimal places? 0.0000199 Round 200.16706 to 1 dp. 200.2 Round -8936.62773 to one decimal place. -8936.6 What is -5011.36146 rounded to the nearest integer? -5011 What is 0.0000191228407 rounded to five dps? 0.00002 Round -0.0000048664428 to 6 dps. -0.000005 What is -0.00000171988458 rounded to 7 dps? -0.0000017 Round -75179.8308 to the nearest 100. -75200 What is 0.0000079494463 rounded to 6 dps? 0.000008 What is -162766126.6 rounded to the nearest one million? -163000000 Round 64654.2212 to the nearest 10000. 60000 What is -0.06782686293 rounded to three decimal places? -0.068 Round 2.71568906 to 4 decimal places. 2.7157 Round 78623790.14 to the nearest ten thousand. 78620000 What is 47391.478 rounded to the nearest ten? 47390 What is 410408.4 rounded to the nearest 10000? 410000 What is 463493790 rounded to the nearest 100000? 463500000 What is -3278061.54 rounded to the nearest 1000? -3278000 Round 0.124401468 to four dps. 0.1244 What is 17471257 rounded to the nearest ten thousand? 17470000 Round 99.81233 to the nearest 10. 100 What is 0.00000717437623 rounded to 7 decimal places? 0.0000072 Round 2743866130 to the nearest one million. 2744000000 What is -0.0006473967665 rounded to four decimal places? -0.0006 What is -154.2007995 rounded to 1 dp? -154.2 Round 11753.53197 to the nearest one thousand. 12000 What is 0.0000001345700984 rounded to seven dps? 0.0000001 What is -17561707.99 rounded to the nearest 1000? -17562000 Round -2.41734474 to four dps. -2.4173 What is -17670.3233 rounded to the nearest 10000? -20000 Round -10096853 to the nearest one hundred thousand. -10100000 Round 0.0001388891395 to four dps. 0.0001 Round 884.77022 to 0 dps. 885 Round -36184472.04 to the nearest one hundred thousand. -36200000 What is 0.005643008 rounded to four decimal places? 0.0056 What is 0.0502563099 rounded to 5 decimal places? 0.05026 Round 840.72963 to 1 decimal place. 840.7 What is 0.000014601698 rounded to five decimal places? 0.00001 What is -0.657867361 rounded to two dps? -0.66 What is 25272.9714 rounded to the nearest integer? 25273 What is 0.00000393740042 rounded to seven dps? 0.0000039 Round -109.708892 to 2 decimal places. -109.71 Round 2953474.04 to the nearest one thousand. 2953000 What is 83027.209 rounded to the nearest 100000? 100000 What is 105.4662577 rounded to 1 decimal place? 105.5 Round -28930.383 to the nearest ten. -28930 Round 0.00064638513 to 4 decimal places. 0.0006 What is -1421137.59 rounded to the nearest one hundred thousand? -1400000 Round 0.0079344872 to three dps. 0.008 What is -0.000016231746 rounded to seven dps? -0.0000162 Round 0.02699582976 to 2 dps. 0.03 Round 676.652334 to 0 decimal places. 677 Round 49.4452135 to 0 decimal places. 49 Round 1305.14872 to one decimal place. 1305.1 Round 0.00385557022 to seven dps. 0.0038556 What is -0.03408413497 rounded to 2 dps? -0.03 What is 0.0000334660895 rounded to 5 decimal places? 0.00003 Round -0.00148094547 to 5 decimal places. -0.00148 What is -13429.37982 rounded to the nearest 10? -13430 What is 61201688.9 rounded to the nearest 100000? 61200000 What is -21529.112 rounded to the nearest ten? -21530 What is -204435.3897 rounded to the nearest 100? -204400 Round 0.0006005216 to four decimal places. 0.0006 What is 538797720 rounded to the nearest one million? 539000000 Round -34.51038 to the nearest ten. -30 Round -0.08393730324 to 6 dps. -0.083937 Round 677.5347021 to the nearest integer. 678 What is 0.002212525799 rounded to three decimal places? 0.002 Round 0.0000879239193 to five dps. 0.00009 What is 0.4678392922 rounded to 5 decimal places? 0.46784 Round 2491.338133 to the nearest one thousand. 2000 What is -0.000000524109307 rounded to seven dps? -0.0000005 Round -10383.11176 to the nearest integer. -10383 Round -0.04076656 to 1 dp. 0 What is -73.555338 rounded to zero dps? -74 Round -0.02007992881 to 6 dps. -0.02008 What is 8983.19918 rounded to the nearest ten thousand? 10000 Round -112.157977 to one decimal place. -112.2 Round 331055.75 to the nearest one hundred. 331100 Round 4.27358602 to the nearest integer. 4 What is -1540.563298 rounded to the nearest one hundred? -1500 What is -0.080733267 rounded to 5 decimal places? -0.08073 What is -0.000017582071 rounded to seven decimal places? -0.0000176 Round 61950.927 to the nearest one hundred thousand. 100000 Round 50165.3478 to the nearest 1000. 50000 Round 343.702863 to 1 decimal place. 343.7 Round 972.247069 to zero decimal places. 972 Round 2180.43346 to the nearest one hundred. 2200 What is -0.731930814 rounded to one dp? -0.7 What is 1.399188567 rounded to three decimal places? 1.399 What is 0.000846003492 rounded to 6 decimal places? 0.000846 Round -6815.4303 to the nearest 10000. -10000 Round -0.000005924497593 to 7 decimal places. -0.0000059 What is -654.1981577 rounded to two decimal places? -654.2 Round -504776700 to the nearest 100000. -504800000 Round -1997943.9 to the nearest 1000. -1998000 What is 9553.34419 rounded to the nearest integer? 9553 What is 0.81359673 rounded to two dps? 0.81 What is 0.54989614 rounded to 3 dps? 0.55 What is 166.322339 rounded to 0 decimal places? 166 Round -824304.525 to the nearest 1000000. -1000000 What is 0.0000064195991 rounded to seven dps? 0.0000064 Round -3.46102239 to one decimal place. -3.5 Round -379436.678 to the nearest 100000. -400000 Round -0.0008648608995 to 5 decimal places. -0.00086 Round 6.2701624 to three dps. 6.27 What is -0.240628623 rounded to four dps? -0.2406 What is -0.0340538087 rounded to 6 dps? -0.034054 Round 6.5623841 to three decimal places. 6.562 What is -0.012050092 rounded to five dps? -0.01205
{ "pile_set_name": "DM Mathematics" }
er. -2179, -4, -1, 22, 48 Put -223, -20, 31, -3 in increasing order. -223, -20, -3, 31 Sort -13, 3, 211, 4, 5, -4 in ascending order. -13, -4, 3, 4, 5, 211 Sort -9, 0, -66, -157, -2. -157, -66, -9, -2, 0 Put -1, 2, -5, 32, -28, -259 in increasing order. -259, -28, -5, -1, 2, 32 Sort -27537, -5, -7, 0.3, -1, -3, 4 in decreasing order. 4, 0.3, -1, -3, -5, -7, -27537 Put -1, -5, -77, 1/63 in ascending order. -77, -5, -1, 1/63 Sort -2232, 0.2, 0.5, 2.91 in ascending order. -2232, 0.2, 0.5, 2.91 Sort 8, -16, -5, -106, -21, -3. -106, -21, -16, -5, -3, 8 Put -714255, 0.037, -3 in ascending order. -714255, -3, 0.037 Sort -25, 0, -4, 95, 4 in descending order. 95, 4, 0, -4, -25 Sort -5/8, -2/11, -12.0013 in descending order. -2/11, -5/8, -12.0013 Sort 2/49, 4/7, -27, 0, 40 in decreasing order. 40, 4/7, 2/49, 0, -27 Put -30, 0, -160, 7, 3, 5, 2 in descending order. 7, 5, 3, 2, 0, -30, -160 Put 3, -1, 31, 11, 2, -4, 7 in increasing order. -4, -1, 2, 3, 7, 11, 31 Sort 2, 14, -4, -5, 9744, 5 in decreasing order. 9744, 14, 5, 2, -4, -5 Sort -4, -9, 1, -31, -3, -66, -56 in ascending order. -66, -56, -31, -9, -4, -3, 1 Put -67, -698, -272 in decreasing order. -67, -272, -698 Put 2, -29384, 11 in descending order. 11, 2, -29384 Sort -8, 2, 87/67, -3, 3, -4. -8, -4, -3, 87/67, 2, 3 Put -3, -47, 445, 2, -5 in decreasing order. 445, 2, -3, -5, -47 Sort 4, 730202, 3/5 in descending order. 730202, 4, 3/5 Put 0.5, -80, 5, 0, -4, 223 in descending order. 223, 5, 0.5, 0, -4, -80 Sort 28/11, 1/4, -43/2, -4 in descending order. 28/11, 1/4, -4, -43/2 Put 711, -1, 9/4, 1/5, 4, 3 in decreasing order. 711, 4, 3, 9/4, 1/5, -1 Put 0, 19009, -4, -5 in decreasing order. 19009, 0, -4, -5 Put 1/3, 121, 1486/5, -1 in descending order. 1486/5, 121, 1/3, -1 Sort 0, 6, -2, -149, -3 in ascending order. -149, -3, -2, 0, 6 Put -0.04229, 0.5, 108/13, 2 in decreasing order. 108/13, 2, 0.5, -0.04229 Put -5/3, 476, -5, 2, 0.187 in descending order. 476, 2, 0.187, -5/3, -5 Sort 0.08, 1/3, 6, 1, -713. -713, 0.08, 1/3, 1, 6 Put 8, -1, -2, 25, 5, 6, 0 in descending order. 25, 8, 6, 5, 0, -1, -2 Put 4, 289134, -6 in increasing order. -6, 4, 289134 Put -3, 3, 10, -4, 1, -2, -155 in decreasing order. 10, 3, 1, -2, -3, -4, -155 Sort -4, -58, 5, 3, -2, 272 in increasing order. -58, -4, -2, 3, 5, 272 Sort -7, 30, -4, 0, -137, 5 in ascending order. -137, -7, -4, 0, 5, 30 Sort -10, 3, 0, -20547, 2 in descending order. 3, 2, 0, -10, -20547 Sort 143, 1, 620, 6 in decreasing order. 620, 143, 6, 1 Sort -5, -8, 745, 0, 2, 99. -8, -5, 0, 2, 99, 745 Put 0.3, -1, 1379, -40/489 in increasing order. -1, -40/489, 0.3, 1379 Sort -43, 2, 1, 7, -17049, -2. -17049, -43, -2, 1, 2, 7 Sort 2, 134, 5, -4, 0, 10316, -11 in descending order. 10316, 134, 5, 2, 0, -4, -11 Sort -19860, 2, 88, 35. -19860, 2, 35, 88 Sort 0, -18729973, -1. -18729973, -1, 0 Sort 4, 1, -11, 28, -20. -20, -11, 1, 4, 28 Put -13/81, 73/8, -0.1, -3, 0.3 in increasing order. -3, -13/81, -0.1, 0.3, 73/8 Sort -1, 2, -785, 6, -1/5, 1, -4 in ascending order. -785, -4, -1, -1/5, 1, 2, 6 Put 939, -804, 108 in ascending order. -804, 108, 939 Put -3864, 534, -75, -2 in increasing order. -3864, -75, -2, 534 Sort 2, 1, 51609, 451 in decreasing order. 51609, 451, 2, 1 Put -1/2, -22, 5.8437, 4, 19/2 in increasing order. -22, -1/2, 4, 5.8437, 19/2 Put 5, 27741, 12, 14 in ascending order. 5, 12, 14, 27741 Sort 2, 5, 0, -1, 77, 248, -2. -2, -1, 0, 2, 5, 77, 248 Put 0.2, 3657, -0.1, -3, -1, -2 in increasing order. -3, -2, -1, -0.1, 0.2, 3657 Sort -71, 28637, -0.3. -71, -0.3, 28637 Put 3, -3, -37, 5, -869, -12 in decreasing order. 5, 3, -3, -12, -37, -869 Sort 44911, -1, -12. -12, -1, 44911 Put 5, 815, -83934, -6 in descending order. 815, 5, -6, -83934 Put -8875, 5, -2, 2, 11, 3 in descending order. 11, 5, 3, 2, -2, -8875 Sort -148, 522, 30. -148, 30, 522 Put -3, -9, 1146, 55 in ascending order. -9, -3, 55, 1146 Put -0.3, -3, 8, -34015, 0.2, 0.02 in descending order. 8, 0.2, 0.02, -0.3, -3, -34015 Put 0, -0.4, 1/92, 0.7, -1, -2/41 in descending order. 0.7, 1/92, 0, -2/41, -0.4, -1 Put 5445, -1, 1944 in decreasing order. 5445, 1944, -1 Sort 2, -3, 16, -59, 5, 0 in descending order. 16, 5, 2, 0, -3, -59 Sort 1246221, 0, 4, -3, -14 in descending order. 1246221, 4, 0, -3, -14 Sort 51, 91, -7, 13, 0, 3, -5 in ascending order. -7, -5, 0, 3, 13, 51, 91 Sort 5, -73, -25, -23, -5. -73, -25, -23, -5, 5 Put 1, -55, 21161 in descending order. 21161, 1, -55 Sort -1/2, -6228, 1.3 in decreasing order. 1.3, -1/2, -6228 Put 1/7, 5, -1/5, -6/86305 in increasing order. -1/5, -6/86305, 1/7, 5 Put -1467, 4, -5417 in increasing order. -5417, -1467, 4 Sort -15687, -1/5, 0, 0.2 in descending order. 0.2, 0, -1/5, -15687 Sort -10, -31, -5, 2, -13, 5, -7 in ascending order. -31, -13, -10, -7, -5, 2, 5 Put -2.3, -3, -44, -9526 in decreasing order. -2.3, -3, -44, -9526 Sort 950, 1243, 3/5 in ascending order. 3/5, 950, 1243 Put -1, 0, -5, -9, 89, -2 in descending order. 89, 0, -1, -2, -5, -9 Sort 21, 2, -4, 32, -2, -7496 in ascending order. -7496, -4, -2, 2, 21, 32 Sort 6, 101, 7, 770 in descending order. 770, 101, 7, 6 Sort -384, 1, -2.2168 in increasing order. -384, -2.2168, 1 Put 51, 0.4, -5, 4, -38.6, -6, -3 in descending order. 51, 4, 0.4, -3, -5, -6, -38.6 Sort 49093, 1, -3176 in ascending order. -3176, 1, 49093 Sort 1, 2, 5, -116, -5, -872 in descending order. 5, 2, 1, -5, -116, -872 Sort -2, 1128.6, -3, 53, 5/2 in ascending order. -3, -2, 5/2, 53, 1128.6 Sort -3, -336, 0, 5, 26, -6 in descending order. 26, 5, 0, -3, -6, -336 Put 23/3, 4, 3, -0.048701 in decreasing order. 23/3, 4, 3, -0.048701 Sort -10, 15, -3, 3, -1, -198 in decreasing order. 15, 3, -1, -3, -10, -198 Sort -3/23, -0.5, -1/4, 54, 62, 71 in increasing order. -0.5, -1/4, -3/23, 54, 62, 71 Sort -483, -0.045, -149.2 in ascending order. -483, -149.2, -0.045 Put -65, -36, 22, -3, 5 in ascending order. -65, -36, -3, 5, 22 Put 5, -2866, 8, -29 in decreasing order. 8, 5, -29, -2866 Sort -322/31, 2/3, 51, -2, 12, 2 in ascending order. -322/31, -2, 2/3, 2, 12, 51 Sort 5, -89, 2, -1691 in increasing order. -1691, -89, 2, 5 Sort 111.48509, 6, 0.3 in descending order. 111.48509, 6, 0.3 Put 11, 3, -5/2212, -10 in descending order. 11, 3, -5/2212, -10 Sort 1004, -5, -8328 in decreasing order. 1004, -5, -8328 Put 23885, 1, 40 in descending order. 23885, 40, 1 Sort 5, 8, -2, 4, 2, -2405, 3 in decreasing order. 8, 5, 4, 3, 2, -2, -2405 Sort -6571, -5, 4, -8, -4, -2, 3 in descending order. 4, 3, -2, -4, -5, -8, -6571 Put 37, -5, -8, 0, -146, -14, -38 in decreasing order. 37, 0, -5, -8, -14, -38, -146 Sort 386223, -5, -29, -7 in decreasing order. 386223, -5, -7, -29 Sort -1, 1836, -21, -5. -21, -5, -1, 1836 Sort -0.3, 9085/24, 4/9. -0.3, 4/9, 9085/24 Sort 28/5, -1423/16, 1/83. -1423/16, 1/83, 28/5 Put 7, 17, -4, -2, -3, 3207, 1 in descending order. 3207, 17, 7, 1, -2, -3, -4 Put -5/6, 0.25, -300, 3/5, 0 in descending order. 3/5, 0.25, 0, -5/6, -300 Sort -1, 505, -2, 556. -2, -1, 505, 556 Sort 650459, 0.3, -3/5 in descending order. 650459, 0.3, -3/5 Put 11, -4416, 46, 3 in ascending order. -4416, 3, 11, 46 Put -14, -5, -4, 5589, 6 in ascending order. -14, -5, -4, 6, 5589 Sort -0.3, 0.3, -364, -93, -12 in decreasing order. 0.3, -0.3, -12, -93, -364 Sort -120.4087, -1/2, -2, -6 in decreasing order. -1/2, -2, -6, -120.4087 Sort 0, -1847, -2/21, 1/3, -0.8. -1847, -0.8, -2/21, 0, 1/3 Sort -87843, -6598, -4 in descending order. -4, -6598, -87843 Sort -79, 4, 3, 125, -5, 0.17 in decreasing order. 125, 4, 3, 0.17, -5, -79 Put 5, 1, -5, -2, -866, 4, 3 in ascending order. -866, -5, -2, 1, 3, 4, 5 Sort -5, -74198, 9 in ascending order. -74198, -5, 9 Sort 0.55, 12, -5179/5 in decreasing order. 12, 0.55, -5179/5 Sort 3, 20, -967, -15. -967, -15, 3, 20 Put 5, 2, 65, 3, 2993 in decreasing order. 2993, 65, 5, 3, 2 Put -22, -1, -4411, 33 in descending order. 33, -1, -22, -4411 Sort 0.08, -34, 5.7, 0.3, -0.2 in decreasing order. 5.7, 0.3, 0.08, -0.2, -34 Sort -4/7, 493, -67726. -67726, -4/7, 493 Sort 5401, 3, 99, -2 in descending order. 5401, 99, 3, -2 Sort 3, 61, 71, -1, -31 in increasing order. -31, -1, 3, 61, 71 Put 2/9, 1/2, 2, -4, -1, 1/6, -2/5 in increasing order. -4, -1, -2/5, 1/6, 2/9, 1/2, 2 Put 2, 35, 225, -743, 1 in decreasing order. 225, 35, 2, 1,
{ "pile_set_name": "DM Mathematics" }
. -0.03 Suppose 5*v - 14302343 = b - 65802345, -5*b = v + 10299990. Round v to the nearest one million. -10000000 Suppose -3*i = -4*z - 7, 3*i - 26 = -i + 2*z. Suppose 0 = 4*h - i*h + 21500000. What is h rounded to the nearest 1000000? 4000000 Let g = 14 - 13.999988. Round g to 5 dps. 0.00001 Let q = 13490 + -14437.9. Let u = q + 938.706. Let a = -9.1 - u. Round a to 2 dps. 0.09 Suppose 0 = -3*w - w + 16. Suppose 2908 = w*p - 70756. Let f = p - 13016. What is f rounded to the nearest one thousand? 5000 Let m = 0.24 + 0.06. Let u = m + -0.3000026. What is u rounded to six dps? -0.000003 Suppose w = -4*l - 48, l = w - 3*w - 75. Let v be ((-84)/(-5))/(w/(-120)). Round v to the nearest 10. 60 Let c(v) = 5*v**2 - 2*v + 2. Let m be c(1). Suppose 5*t - 3*r = -r - 2392, m*t - r + 2396 = 0. Round t to the nearest 100. -500 Let z = 0 + -6. Let i = -9 - z. Let r = i + 2.977. Round r to 2 decimal places. -0.02 Let o = -5.1 + 0.1. Let c = -55 - -49.6. Let f = c - o. What is f rounded to 0 decimal places? 0 Suppose v + 1 = 12. What is v rounded to the nearest integer? 11 Let m = -0.113 - -0.11456. Round m to three dps. 0.002 Let m = -32.00000215 + 32. Round m to seven dps. -0.0000022 Suppose 5*k = 2*k + 1125. Let x be -2 + k/(-3)*-8. Let u be 6000*(6/(-3) - x). Round u to the nearest one million. -6000000 Let n(c) = c**3 + 2*c**2 - 4*c + 1. Let t be n(-5). Let d be (20*t)/(2/(-150)). Round d to the nearest 10000. 80000 Let o = -20.30257 - -20.3. What is o rounded to four dps? -0.0026 Let y be ((-1 + 0)*0)/1. Suppose y*i = 4*i. Round i to the nearest ten thousand. 0 Suppose 0 = 4*z + 3*o + 234015, 3*z + 131071 = -3*o - 44444. Round z to the nearest 10000. -60000 Let k = 97.00054 - 97. Round k to four dps. 0.0005 Let j = -1024 + -976. What is j rounded to the nearest one thousand? -2000 Suppose 2*o - 5*w + 117995 = 0, 2*o + 3*o = -w - 295001. Round o to the nearest 10000. -60000 Let m = 62086294.999846 + -62086144. Let h = 151 - m. Round h to 5 decimal places. 0.00015 Let m = -206 + -55. What is m rounded to the nearest 10? -260 Let u = -0.08 - -0.028. Round u to 2 decimal places. -0.05 Let r be (1 + 11565/(-6))*-82. Suppose 18736 = l - r. Let t = l - 3176709. What is t rounded to the nearest 1000000? -3000000 Suppose -24134 = -5*o + 2*n, 2*n - 9 = -n. Suppose r + 7672 + o = 0. Let v be (918 + 2)*r/(-1). Round v to the nearest 1000000. 12000000 Let q = -126 - -124.4. Round q to 1 dp. -1.6 Let d = 112.3 - 114. Round d to the nearest integer. -2 Let u = -57.6 + 79. Let f = 0 - -18. Let g = u - f. Round g to 0 dps. 3 Let p = -340860 + 140860. Round p to the nearest 10000. -200000 Let b be 0*(14/4 - (0 - -3)). Round b to the nearest 1000. 0 Let v = 109.79 + -103.8. Let i = -0.25 - -6.25. Let h = v - i. What is h rounded to two dps? -0.01 Let o = 0.06 - 0.06. Let k = o - -2.6. Let t = k + -2.59999962. What is t rounded to seven decimal places? 0.0000004 Let o = 0.2 + -0.5. Let a = 0.2924954 - -0.007511. Let j = o + a. What is j rounded to 6 dps? 0.000006 Suppose -8 = -2*c - 0. Suppose 9*r - c*r + 150000 = 0. What is r rounded to the nearest ten thousand? -30000 Let y = -59.0126 - -59. Round y to 3 decimal places. -0.013 Let c = -3211 + 3196.928. Let z = c - -14. Let i = z + 0.051. What is i rounded to 2 decimal places? -0.02 Let k be (-8)/(-14)*14/4. Suppose -255010 = k*s - 7*s. Suppose -4*p - 5*b + 40790 = 0, b = -5*p + 2*b + s. What is p rounded to the nearest 1000? 10000 Let c = 350.09 - 6.09. Let f = 343.9999843 - c. What is f rounded to six decimal places? -0.000016 Let q(p) = 122501*p**3 - 2*p**2 + p - 2. Let d be q(2). What is d rounded to the nearest one hundred thousand? 1000000 Let w(v) = 6*v**3 + 8*v - 137. Let q(f) = 5*f**3 + 7*f - 137. Let z(l) = 7*q(l) - 6*w(l). Let x be z(0). Round x to the nearest 10. -140 Let g = -4.8 + -4.7. Let p = 11 + g. Round p to 0 dps. 2 Let x = 22377 + -22374.9934. Let p = 7 - 5. Let k = x - p. Round k to three dps. 0.007 Let j = 0.01 + 0. Let a = 1.79 + -2.2. Let r = a + j. Round r to one dp. -0.4 Suppose 20 = 5*d - 4*p - 0*p, -2*d + 8 = -4*p. Suppose 2*a + 201 - 9 = 0. Let q be a*d/18*-3. What is q rounded to the nearest ten? 60 Let r(k) = 2*k**2 + 3*k**2 + 0*k**2 - 4*k**2 - 11400000. Let a be r(0). Round a to the nearest 1000000. -11000000 Let v = 539.0217928 + -524.0218. Let d = 0.2 - 15.2. Let t = v + d. Round t to 6 decimal places. -0.000007 Suppose -4*q - o = -12, -2*q - 5*o = 2*q - 12. Let d(t) = -6*t - 1. Let m be d(-1). Suppose m*x - 1000000 = q*x. Round x to the nearest one million. 1000000 Let t = -1.16 + 2.18. Let d = t - 0.23. Round d to one dp. 0.8 Let b = 41.9999988 + -42. What is b rounded to 7 dps? -0.0000012 Let v = 23193446 - 34400472. Let f = v + 11206993.000085. Let b = f + 33. Round b to five dps. 0.00009 Let x = 187 + -185.37. Round x to one decimal place. 1.6 Let n = -6 + 3. Let c = -7.05686 + 10.0573. Let g = n + c. Round g to four decimal places. 0.0004 Let u = 2 - 2.001. Let j = 0.06 + u. Round j to 2 dps. 0.06 Let l be -60000*(-1)/(-6)*-118. Suppose 3*i - i = -l. What is i rounded to the nearest one hundred thousand? -600000 Let y = -217 - -216.909. Round y to one decimal place. -0.1 Suppose -4*r = -0*r + 164. Let x be 16*260*(-9 + r). What is x rounded to the nearest ten thousand? -210000 Let q = -3.04 - -0.24. Round q to the nearest integer. -3 Let l = -19 - -10. Let m = l + 2. Let k = 6.988 + m. What is k rounded to 2 decimal places? -0.01 Let s = 65285 + -65291.00005. Let f = s + 6. Round f to five dps. -0.00005 Let y(d) be the first derivative of -100313*d**2 - 16*d + 9. Let n be y(-16). Round n to the nearest 100000. 3200000 Let t = -2808.1 + 2808.48038. Let w = t + -0.38. Round w to 4 decimal places. 0.0004 Let r = -11.82 - -12. Let n = -0.2 + 0.3. Let d = n - r. What is d rounded to two decimal places? -0.08 Let y = -57252.099 - -56866.3. Let k = -386 - y. What is k rounded to two decimal places? -0.2 Suppose 0 = -t - 4*t + 5*p, 2*t = -4*p - 24. What is t rounded to the nearest ten? 0 Let i = -5 - -6. Let d be i + (-1739998)/(-2) - 0. What is d rounded to the nearest one hundred thousand? 900000 Let v = -0.3583 + 0.36. What is v rounded to three decimal places? 0.002 Let p = -150 + 2052. Let k = p - 1234. Suppose -2*m = 4*l - 76 + k, 0 = 2*m - 4*l + 568. What is m rounded to the nearest one hundred? -300 Let z = 117 + -116.999999978. Round z to 7 decimal places. 0 Let z = -0.150425 - 327.606575. Let f = 0.757 + z. Let a = 327.0133 + f. Round a to 3 dps. 0.013 Let p = -55150 + 682150. Round p to the nearest ten thousand. 630000 Let f = 17.8 + -17.79999975. What is f rounded to 7 decimal places? 0.0000003 Suppose -5*j + 1566999 = h - 32219, -3*j = -5*h + 7996034. Suppose 4*n + 5*u = 9600005, -2*u - 6399206 = -2*n - h. What is n rounded to the nearest one million? 2000000 Let a = 463406 - -55794. Suppose 0*m = -3*m + 3*u - 311502, -5*m - u - a = 0. Let p = m + -26161. What is p rounded to the nearest one hundred thousand? -100000 Let y = -15332 - -15504.224. Let p = y - 0.224. Let w = -179.3 + p. What is w rounded to the nearest integer? -7 Let w(l) = l**2 - 5*l - 2. Let u be w(4). Let z be (260*2)/(u/9). What is z rounded to the nearest one hundred? -800 Let k = -2.675 - 8.357. Let o = k - -11. What is o rounded to two dps? -0.03 Let x = -35873712546 + 35873746583.959917. Let h = x + -34038. Let f = h - -0.04. Round f to five decimal places. -0.00008 Suppose -3*b = y + 110704, 0*b - 4*y = -3*b - 110684. What is b rounded to the nearest ten thousand? -40000 Suppose -2*y + 103791 + 62199 = 0. Suppose -5*n = 5*g + y, n + 2*g - 6*g = -16619. Let b be n/2 + (-3)/(-2). Round b to the nearest one thousand. -8000 Let u = -0.11365 - -0.119. What is u rounded to three decimal places? 0.005 Let r = -0.9 + -7.1. Let v = 7.94 + r. Let m = v + 0.144. What is m rounded to 2 decimal places? 0.08 Let m = -9.93 - -10. Let l = 0.0686 - m. What is l rounded to 3 decimal places? -0.001 Let t = -2 + 5. Suppose -t*s - 5*l + 8 = -23, 0 = s - 3*l + 13. Suppose -770 = s*m + 13030. What is m rounded to the nearest 1000? -7000 Let x = 667538.7214 + -667598.72139949. Let n = -60 - x. What is n rounded to seven decimal places? -0.0000005 Let y = -3.9 + 4. Let b = y - 0.10152. What is b rounded to 4 decimal places
{ "pile_set_name": "DM Mathematics" }
prime factors of m. 2, 5, 31 Let i = 35 + -33. Let d(v) = 2*v**i - 1 + 4 + 29*v - 22*v. List the prime factors of d(-6). 3, 11 Let c = 25911 + -17688. What are the prime factors of c? 3, 2741 Suppose 11050 = p - m, -5*m - 25 + 5 = 0. List the prime factors of p. 2, 3, 7, 263 Let m = 270 + -266. Suppose i + 3*h - 564 = 0, -i + 370 = -m*h - 159. What are the prime factors of i? 3, 61 Let n(l) = -l**3 - 24*l**2 - 27*l - 55. Let a be n(-23). Suppose 672 = a*s - 29*s. What are the prime factors of s? 2, 3, 7 Let j(n) = 4*n**2 - 70*n - 740. What are the prime factors of j(66)? 2, 13, 29 Let g(i) = 26*i**2 + 108*i - 697. What are the prime factors of g(-42)? 41, 991 Let m(a) = 845*a - 23. Let x be m(1). Suppose -4*w + x = 2*h, -h - w = -0*w - 410. What are the prime factors of h? 409 Let k(b) = -909*b - 192. List the prime factors of k(-9). 3, 2663 List the prime factors of ((-930)/341)/15 + -149066*6/(-44). 20327 Suppose -7*s - 1388 + 5679 = 0. Let i = s - 398. What are the prime factors of i? 5, 43 Let x(h) = -15*h**2 + 6*h - 17. Let g be x(2). Let r = g + 136. What are the prime factors of r? 71 List the prime factors of (13825 + -20 + 23)*1/2. 2, 3457 Suppose -29 = 3*u + 13. Let y(d) = -10*d - 56. Let p be y(u). Let x = p + 40. What are the prime factors of x? 2, 31 Suppose 4*q + 12 = 0, 5*u - 4*u - q - 185 = 0. Suppose f - 5*c = -f + u, 2*c + 497 = 5*f. List the prime factors of f. 101 Let m = 52 - 45. Suppose 6*q = m*q, -4*q + 295 = o. What are the prime factors of o? 5, 59 Let j(g) = 101*g + 8. Let t be j(-2). Let i = -129 - t. What are the prime factors of i? 5, 13 Let c(q) = 399*q - 3241. What are the prime factors of c(75)? 2, 7, 953 Let q(v) = -10 - v**3 - 20*v**2 + 2*v**2 + 9*v**2 - 3*v. Let w be q(-9). Suppose -2*z + 69 = -2*s - w, -111 = -2*z - 3*s. List the prime factors of z. 2, 3 Let w = 196 + -109. Suppose 816 = 91*r - w*r. List the prime factors of r. 2, 3, 17 Suppose 0 = 2*b - 3*b + 2*g + 24299, -5*g + 97274 = 4*b. What are the prime factors of b? 7, 23, 151 Suppose 165*i = 896899 + 48828 + 1646588. What are the prime factors of i? 3, 5237 Let q(d) be the first derivative of -107*d**2/2 + 4*d + 1. Let h be q(-1). Let g = h + -55. List the prime factors of g. 2, 7 Suppose -11*x = -7*x - 8. Let j(n) = 1 - 5*n - 2*n + 2*n + n + 34*n**2. List the prime factors of j(x). 3, 43 What are the prime factors of (28308/16)/((-70)/(-840))? 3, 7, 337 Let w(r) = -1715*r**3 - 9*r**2 + 4*r + 27. What are the prime factors of w(-2)? 71, 193 Let s = -42 - -57. Suppose 10*b + 10 = s*b. Suppose p - 65 = 5*n, b*n + 2 = -2. List the prime factors of p. 5, 11 Let a(t) = -2*t**3 - 2*t**2 + 4*t - 4. Let w be a(-3). Suppose 3356 - 18336 = -w*k. List the prime factors of k. 7, 107 Let f = 1285 - -1736. Suppose -10*j + f + 4489 = 0. List the prime factors of j. 751 Suppose 0*o + 0*o - 18*o = -167094. What are the prime factors of o? 9283 List the prime factors of (-395285)/(-165) + (-1)/(-3). 2, 599 Suppose 2*h + 17783 - 3693 = 12*h. What are the prime factors of h? 1409 Let h(g) = g**3 + 4*g**2 - 4*g + 15. Let a be h(-5). Suppose -a*f + 1188 = -6*f. What are the prime factors of f? 3, 11 Let c(h) = -7 - 4*h**3 - 5*h**2 + 14*h**3 - 5*h**3 + 0*h**3 - 7*h**3 + 3*h. Let p = -12 + 7. What are the prime factors of c(p)? 103 Let h = 246 - 110. Let o = h + 594. What are the prime factors of o? 2, 5, 73 Suppose 5*v - 238239 = -4*g, 47*v = 44*v - 27. List the prime factors of g. 3, 6619 Let m = -22 + 24. Suppose 0 = m*n - 4*n + 3*j + 769, 3*n = -j + 1126. What are the prime factors of n? 13, 29 Let z(s) = 7*s**2 + 3*s - 10. Let t be z(-17). Suppose -493 = -w + 2*c, -4*w = 3*c + 45 - t. Suppose -w - 261 = -8*m. What are the prime factors of m? 3, 31 Let k(z) be the first derivative of -z**3/3 - 8*z**2 + z + 456. Suppose -4*p + 8 = 44. What are the prime factors of k(p)? 2 Suppose 10*w - 12*w - 2 = 0. Let c(m) = -428*m + 1. What are the prime factors of c(w)? 3, 11, 13 Suppose -86*o - 715114 = -1464718 - 1405900. List the prime factors of o. 2, 13, 241 Suppose -2*u + 4 = 0, 0 = -24*c + 27*c - u - 98866. What are the prime factors of c? 2, 7, 11, 107 Let r be (-2030)/(-525) + (2 - 28/15). Suppose 4*b = r*m + 2320, -9*b + 4*m - 2288 = -13*b. What are the prime factors of b? 2, 3 Let h = -1745 + 3205. List the prime factors of (h/(-8))/(-5)*2. 73 Suppose 2219 + 3651 = 5*s. Suppose s = 3*i + 5*g, 1930 = 5*i - 2*g - 3*g. List the prime factors of i. 2, 97 Let r = -5926 - -13303. List the prime factors of r. 3, 2459 Let f = 455 + -245. Let h = f - -17. Suppose -4*v + 5*k = -0*k - h, -25 = -5*k. What are the prime factors of v? 3, 7 Suppose 2*k = 5*a + 9586, 3*k + 2*k + 5*a - 24000 = 0. What are the prime factors of k? 2, 2399 What are the prime factors of (-233673)/(-22)*(110/15 + -2)? 2, 73, 97 Suppose 5*w + 2 - 2 = 0. Let u(t) = t**3 - t**2 + 2*t + 7. Let k be u(w). List the prime factors of (k/((-7)/286))/(10/(-5)). 11, 13 Let n(z) be the first derivative of 2*z**3 + z**2/2 + 4*z + 1. Let j = -6129 - -6124. List the prime factors of n(j). 149 Let y(k) = -42*k. Let f(p) = -42*p + 1. Let b(g) = 5*f(g) - 4*y(g). Let a be b(-1). Let x = 68 + a. What are the prime factors of x? 5, 23 Suppose -16*a + 20*a - 3*o - 45072 = 0, -3*a + o = -33809. List the prime factors of a. 3, 13, 17 Let f(g) = 83*g**2 - g - 46. List the prime factors of f(8). 2, 11, 239 Suppose 5*g - 3676 = -3*o, 3*g = -36*o + 40*o - 4853. List the prime factors of o. 1217 Let p(r) = 2*r + 29. Let w(d) = d + 15. Let y(u) = 6*p(u) - 11*w(u). Let c be y(-4). Suppose c*z - 1177 = -102. List the prime factors of z. 5, 43 Suppose -q = -2*d + 13255 + 19564, -5*q - 82045 = -5*d. List the prime factors of d. 2, 3, 5, 547 Let q = 663 + 631. Let f = -242 + q. What are the prime factors of f? 2, 263 Suppose 15*i - 475727 - 408628 = -241020. What are the prime factors of i? 7, 11, 557 Let f(z) = z**3 + 3*z**2 + 3*z + 6. Let q be 3/(-2) + (15/(-10) - -1). Let d be f(q). Suppose p = d*p - 366. List the prime factors of p. 2, 61 Let h(k) = 5*k + 25. Suppose 61*z - 60*z = 40. Suppose -2*t + 2*q = -3*q - z, 4*q = 0. List the prime factors of h(t). 5 Suppose 2*s + 3*d - 13 = 0, 90*d - 88*d = 2*s + 2. Let p = -1 + 1. Suppose -f + 83 = -p*f + 4*j, 3*f - s*j = 291. What are the prime factors of f? 5, 19 Suppose 5*y - 5 = 40. Let t = -56 - -57. What are the prime factors of t*(236 - y/3)? 233 Let a be (-12)/18 - (-2488)/6. Let n = -75 + 80. Suppose 201 + a = n*g. List the prime factors of g. 3, 41 Suppose 6*y - 9*y + 179853 = 3*x, 4*y + 2*x - 239790 = 0. List the prime factors of y. 2, 59, 127 Let r be 8 + -2 - (18 - 12). Suppose r = 13*m - 460 + 5. What are the prime factors of m? 5, 7 Let x(y) = -1653*y - 209. Let i be x(-17). Suppose -28*q = -9*q - i. List the prime factors of q. 2, 367 Suppose -412 + 9202 = 6*b. Suppose b + 447 = 4*w. List the prime factors of w. 2, 239 Suppose 2*p = 3*g + 321 + 891, g = -4*p + 2410. Suppose 3*h = -5*x - 235 - p, -h - x = 278. What are the prime factors of ((-12)/(-36))/((-1)/h)? 2, 23 Let h be (-25)/(-4 - -9) - -29. Suppose 52*d - 13664 = h*d. List the prime factors of d. 2, 61 Suppose 0 = -3*y + c + 17, -5*y - 4*c + 17 = 0. Suppose 5*b = 20, y*b = q - 3*q + 778. List the prime factors of q. 379 Let p(t) be the first derivative of 66*t**2 + 13*t - 5. What are the prime factors of p(4)? 541 Let d = 86915 + -52212. List the prime factors of d. 34703 Suppose -2*j + 27*a + 14047 = 30*a, 0 = -5*a + 5. What are the prime factors of j? 2, 3511 Let f = -3945 + 10889. What are the prime factors of f? 2, 7, 31 Let j(z) = -z**3 - 12*z**2 - 23*z + 11. Let r be 34 + 5 - (2 - 4). Suppose -10*u - 59 = r. What are the prime factors of j(u)? 41 Suppose 6*t + 50 = 44. Let j = t - -195. What are the prime factors of j? 2, 97 Let r(f) be the third derivative of f**5/60 - f**4/3 + 17*f**3/6 - 15*f**2. Let v be r(7). Suppose 74 = 3*l - v. What are the prime factors of l? 2, 7 Suppose -2 = 8*h - 34. Suppose 8*z = -2*w + 3*z + 2176, 5*w + h*z - 5474 = 0. What are the prime factors of w? 2, 3, 61 Let l = 11 + -7. Suppose 2*b + l = 4. Suppose -6*v + 3*v + 204 = b. What are the prime factors of v? 2, 17 Suppose -4*a = -2*v + 53298, -2*v = -7*v - 5*a + 133170. What are the prime factors of v? 17, 1567 Suppose 105 + 97 =
{ "pile_set_name": "DM Mathematics" }
the o'th term of 25939, 48955, 71975, 94999, 118027, 141059? 2*o**2 + 23010*o + 2927 What is the b'th term of -5271609, -5271598, -5271587? 11*b - 5271620 What is the f'th term of 8445, 557, -7331? -7888*f + 16333 What is the r'th term of 55676, 111480, 167284, 223088, 278892, 334696? 55804*r - 128 What is the a'th term of 45222, 180748, 406598, 722766, 1129246? -a**3 + 45168*a**2 + 29*a + 26 What is the a'th term of 1271696, 1271700, 1271704, 1271708, 1271712? 4*a + 1271692 What is the m'th term of 232726, 232729, 232726, 232717? -3*m**2 + 12*m + 232717 What is the c'th term of -33079631, -66159260, -99238889, -132318518? -33079629*c - 2 What is the q'th term of -45889, -67209, -88531, -109855, -131181, -152509, -173839? -q**2 - 21317*q - 24571 What is the x'th term of -609908, -1219822, -1829732, -2439632, -3049516, -3659378? x**3 - 4*x**2 - 609909*x + 4 What is the f'th term of 141374, 281770, 422178, 562604, 703054? f**3 + 140389*f + 984 What is the f'th term of 540829, 1081654, 1622479? 540825*f + 4 What is the t'th term of -102583, -102607, -102647, -102703, -102775, -102863, -102967? -8*t**2 - 102575 What is the c'th term of 173893222, 173893220, 173893218, 173893216, 173893214, 173893212? -2*c + 173893224 What is the n'th term of 8943, 18497, 28043, 37581, 47111, 56633, 66147? -4*n**2 + 9566*n - 619 What is the o'th term of 67509, 539916, 1822157, 4319148, 8435805, 14577044, 23147781? 67486*o**3 + o**2 + 2*o + 20 What is the y'th term of -51903738, -51903737, -51903736, -51903735, -51903734, -51903733? y - 51903739 What is the p'th term of 40508, 80981, 121460, 161945, 202436, 242933? 3*p**2 + 40464*p + 41 What is the m'th term of 4670839, 4670845, 4670855, 4670869, 4670887? 2*m**2 + 4670837 What is the p'th term of -1559278, -1559261, -1559240, -1559215, -1559186, -1559153? 2*p**2 + 11*p - 1559291 What is the k'th term of -640, -2032, -4202, -7150, -10876, -15380? -389*k**2 - 225*k - 26 What is the o'th term of -973068, -1946135, -2919200, -3892263, -4865324, -5838383? o**2 - 973070*o + 1 What is the k'th term of -53043864, -106087732, -159131614, -212175516, -265219444, -318263404, -371307402? -k**3 - k**2 - 53043858*k - 4 What is the g'th term of 3608, 4003, 4390, 4763, 5116, 5443? -g**3 + 2*g**2 + 396*g + 3211 What is the z'th term of -1037, -3264, -5457, -7616, -9741, -11832, -13889? 17*z**2 - 2278*z + 1224 What is the a'th term of 4599, 37860, 128131, 303918, 593727, 1026064? 4751*a**3 - a**2 + 7*a - 158 What is the z'th term of 221091, 884332, 1989735, 3537300, 5527027, 7958916? 221081*z**2 - 2*z + 12 What is the s'th term of -19103, -22550, -25997? -3447*s - 15656 What is the j'th term of -362, -1166, -1992, -2840, -3710? -11*j**2 - 771*j + 420 What is the z'th term of 19982, 80038, 180134, 320270, 500446, 720662, 980918? 20020*z**2 - 4*z - 34 What is the t'th term of -74589, -77604, -80619, -83634, -86649? -3015*t - 71574 What is the n'th term of -10934528, -21869055, -32803582, -43738109, -54672636? -10934527*n - 1 What is the y'th term of -91769, -91812, -91855, -91898, -91941? -43*y - 91726 What is the k'th term of -1021, -5230, -12625, -23206, -36973, -53926, -74065? -1593*k**2 + 570*k + 2 What is the b'th term of 2257, 3447, 4607, 5731, 6813? -b**3 - 9*b**2 + 1224*b + 1043 What is the d'th term of 223573, 446064, 668555, 891046? 222491*d + 1082 What is the x'th term of 483868, 483633, 483398? -235*x + 484103 What is the o'th term of 14141512, 14141509, 14141506, 14141503, 14141500? -3*o + 14141515 What is the u'th term of -4207, -14035, -30373, -53185, -82435, -118087, -160105, -208453? 6*u**3 - 3291*u**2 + 3*u - 925 What is the l'th term of -75561, -76217, -76879, -77547, -78221? -3*l**2 - 647*l - 74911 What is the a'th term of -1620881, -1620854, -1620813, -1620752, -1620665? a**3 + a**2 + 17*a - 1620900 What is the g'th term of 32, -1411, -3788, -7075, -11248, -16283? 4*g**3 - 491*g**2 + 2*g + 517 What is the h'th term of 608674, 608715, 608784, 608881, 609006, 609159? 14*h**2 - h + 608661 What is the o'th term of 14962, 15270, 15784, 16504, 17430? 103*o**2 - o + 14860 What is the u'th term of -412, -6298, -23332, -57088, -113140, -197062, -314428, -470812? -929*u**3 + 617*u - 100 What is the l'th term of 15821840, 15821839, 15821838? -l + 15821841 What is the g'th term of 5244, 5968, 6666, 7332, 7960? -g**3 - 7*g**2 + 752*g + 4500 What is the i'th term of -4725723, -9451449, -14177175? -4725726*i + 3 What is the h'th term of 288199, 288158, 288083, 287974, 287831, 287654? -17*h**2 + 10*h + 288206 What is the h'th term of -2476, -6557, -10650, -14761, -18896? -h**3 - 4074*h + 1599 What is the k'th term of -784, -1270, -1776, -2308, -2872, -3474, -4120? -k**3 - 4*k**2 - 467*k - 312 What is the b'th term of 41210, 82561, 123976, 165461, 207022, 248665? b**3 + 26*b**2 + 41266*b - 83 What is the d'th term of -123, -1588, -5569, -13326, -26119, -45208, -71853, -107314? -210*d**3 + 2*d**2 - d + 86 What is the d'th term of -1622, -9547, -28356, -62627, -116938? -763*d**3 - 864*d**2 + 8*d - 3 What is the c'th term of 58051077, 58051083, 58051093, 58051107, 58051125, 58051147? 2*c**2 + 58051075 What is the n'th term of -8970, -17876, -26802, -35754, -44738, -53760? -n**3 - 4*n**2 - 8887*n - 78 What is the i'th term of 172931, 344943, 516969, 689015, 861087, 1033191, 1205333, 1377519? i**3 + i**2 + 172002*i + 927 What is the k'th term of 2197, 4136, 6081, 8032, 9989? 3*k**2 + 1930*k + 264 What is the s'th term of 8563, 9492, 12015, 16930, 25035, 37128? 133*s**3 - s**2 + s + 8430 What is the i'th term of -7552, -15683, -23814, -31945, -40076, -48207? -8131*i + 579 What is the r'th term of -151414, -151503, -151592, -151681, -151770? -89*r - 151325 What is the c'th term of 58682775, 117365554, 176048333, 234731112, 293413891? 58682779*c - 4 What is the a'th term of -1219, -2488, -3799, -5152, -6547, -7984, -9463? -21*a**2 - 1206*a + 8 What is the c'th term of 51667, 51643, 51599, 51535, 51451, 51347? -10*c**2 + 6*c + 51671 What is the t'th term of -4674012, -9348043, -14022080, -18696123, -23370172? -3*t**2 - 4674022*t + 13 What is the j'th term of 21307, 42858, 64409, 85960, 107511? 21551*j - 244 What is the p'th term of 1900976, 1900952, 1900928, 1900904, 1900880, 1900856? -24*p + 1901000 What is the j'th term of 2251, 5400, 9451, 14404, 20259? 451*j**2 + 1796*j + 4 What is the l'th term of -4967, -10074, -15187, -20306, -25431, -30562, -35699? -3*l**2 - 5098*l + 134 What is the z'th term of -236, -915, -2390, -5021, -9168, -15191, -23450, -34305? -60*z**3 - 38*z**2 - 145*z + 7 What is the c'th term of -2476, -2427, -2334, -2197, -2016? 22*c**2 - 17*c - 2481 What is the r'th term of 12699, 12465, 12123, 11673, 11115, 10449? -54*r**2 - 72*r + 12825 What is the g'th term of -3553, -3636, -3759, -3922, -4125, -4368, -4651? -20*g**2 - 23*g - 3510 What is the l'th term of 6401, 12887, 19367, 25841, 32309? -3*l**2 + 6495*l - 91 What is the u'th term of -2456396, -4912786, -7369164, -9825530? 6*u**2 - 2456408*u + 6 What is the t'th term of -24411512, -48823022, -73234534, -97646048? -t**2 - 24411507*t - 4 What is the s'th term of 125903, 126344, 126785, 127226, 127667, 128108? 441*s + 125462 What is the r'th term of 3459208, 3459386, 3459554, 3459706, 3459836? -r**3 + r**2 + 182*r + 3459026 What is the y'th term of -33, 143, 463, 927, 1535, 2287? 72*y**2 - 40*y - 65 What is the a'th term of -101440, -101434, -101428, -101422, -101416, -101410? 6*a - 101446 What is the l'th term of -7278500, -14557010, -21835520, -29114030? -7278510*l + 10 What is the b'th term of 139164, 278339, 417510, 556677? -2*b**2 + 139181*b - 15 What is the d'th term of 625, 3943, 9535, 17401, 27541, 39955, 54643? 1137*d**2 - 93*d - 419 What is the g'th term of 82990, 83105, 83314, 83617, 84014? 47*g**2 - 26*g + 82969 What is the q'th term of 444618, 444238, 443858, 443478, 443098? -380*q + 444998 What is the f'th term of 44201, 44866, 45517, 46154? -7*f**2 + 686*f + 43522 What is the a'th term of 539, 1978, 4345, 7634, 11839, 16954, 22973, 29890? -a**3 + 470*a**2 + 36*a + 34 What is the d'th term of -224, -274, -324, -374, -424? -50*d - 174 What is the p'th term of -3573, -6369, -9169, -11973, -14781, -17593, -20409? -2*p**2 - 2790*p - 781 What is the w'th
{ "pile_set_name": "DM Mathematics" }
d derivative of -49*k - 750*k**5 - 20*k + 0*k**2 + 26*k + 4*k**2 - 69*k wrt k? -45000*k**2 Let o(f) be the second derivative of 0*f**2 - 1/6*f**3 + 0 + 4*f. Let n(j) = -19*j + 12. Let i(p) = n(p) + 3*o(p). Differentiate i(h) wrt h. -22 What is the second derivative of 2 + 8*o**5 + 1 + 1 - 6*o**5 + 467*o**2 - 1 + 2*o**4 - 117*o wrt o? 40*o**3 + 24*o**2 + 934 Find the first derivative of 112*t**3 - 358 - 279*t**3 + 237*t**3 + 150*t**3 wrt t. 660*t**2 What is the second derivative of -3115*c**4 + 2918*c**4 - 1179*c**4 + 172 - 7*c wrt c? -16512*c**2 Let r(l) = 2*l**3 + 5*l**2 - 6*l + 3. Let v be r(2). Let i = v + -25. Find the second derivative of -g - 9*g**2 + 7*g**3 + 6*g + 9*g**i wrt g. 42*g Suppose 21*g = 23*g - 8. What is the third derivative of 90*u**4 - 3*u**2 - 2 + 2 - 36*u**g wrt u? 1296*u Let y be 34*(-21)/(-15) + (-8)/(-20). Let m = -46 + y. What is the second derivative of t**2 - 10*t - t + m*t**2 + t**2 wrt t? 8 Let g(t) be the first derivative of 550*t**3/3 + 261*t**2/2 + 4*t - 442. What is the second derivative of g(p) wrt p? 1100 Let n(c) be the second derivative of 3884*c**6/15 - 2573*c**2/2 + 20*c - 22. What is the first derivative of n(t) wrt t? 31072*t**3 Let w(u) = 421*u**2 + 28*u + 2239. Let k(b) = 421*b**2 + 23*b + 2246. Let c(l) = -5*k(l) + 4*w(l). Differentiate c(n) wrt n. -842*n - 3 Suppose -5*s + 0*s = -5. Let g be 5/s*2 - -1. What is the second derivative of 4*r + 0*r + 0*r + g*r - 5*r**4 wrt r? -60*r**2 What is the second derivative of 2469*a**5 - 101677*a**2 + 2551*a + 101677*a**2 wrt a? 49380*a**3 Let t(f) be the first derivative of 10*f**6/3 - 3*f**2/2 + 251*f + 104. Let u(o) be the first derivative of t(o). Differentiate u(m) wrt m. 400*m**3 Let o(g) = 4668*g**2 + 23*g + 24095. Let u(c) = -933*c**2 - 4*c - 4818. Let t(z) = 2*o(z) + 11*u(z). Find the first derivative of t(l) wrt l. -1854*l + 2 Let t be 4 + 55/(-10) - 305/(-10). Differentiate -55563*f + t*f**2 + 32 + 55563*f wrt f. 58*f Let d be (4*25/5)/((-3)/(-6)). What is the second derivative of -213*s - 37*s**3 - d*s**3 + 171*s wrt s? -462*s Let v(z) be the first derivative of -414*z**5/5 - z**3/3 + z**2/2 - 6904*z + 10118. What is the first derivative of v(n) wrt n? -1656*n**3 - 2*n + 1 Let b(i) = -63*i + 192. Let u(a) be the first derivative of -63*a**2/2 + 191*a + 102. Let c(l) = -4*b(l) + 3*u(l). What is the derivative of c(v) wrt v? 63 Let q(a) = -9*a - 41. Let g be q(-6). Let r(t) = t + 8. Let l be r(g). Find the second derivative of -4*d - 10*d**4 + l - 21 - 2*d**4 wrt d. -144*d**2 Let f(h) be the first derivative of -286*h**2 - 1521*h - 1546. Differentiate f(i) with respect to i. -572 What is the second derivative of 94808 - 618*k**2 - 95893 + k - 1612*k**2 wrt k? -4460 Let r = 10 - 11. Let h be 5 - (-1)/(1/r). Find the second derivative of -486*w**3 + 486*w**3 - 7*w + 12*w**h wrt w. 144*w**2 Let k(y) = 262*y - 223. Let r(d) = -2880*d + 2450. Let t(u) = 68*k(u) + 6*r(u). What is the first derivative of t(x) wrt x? 536 Let z(s) = -13*s**3 + 276*s**2 + 81. Let j(v) = -2*v**3 + 2*v**2 - 2. Let d(h) = -5*j(h) + z(h). What is the derivative of d(c) wrt c? -9*c**2 + 532*c Let g(d) = -46*d + 134. Let u(v) = 154*v + 139*v - 67 - 270*v. Let f(a) = -2*g(a) - 5*u(a). Differentiate f(z) with respect to z. -23 Let z = 2808 - 2793. Let w(f) be the third derivative of 0 + 1/10*f**5 + 0*f**3 + z*f**2 - 13/120*f**6 + 0*f + 0*f**4. Find the third derivative of w(v) wrt v. -78 Let c(r) be the first derivative of 55*r - 22*r + 37*r - 199 - 85*r**2 + 78*r. What is the derivative of c(v) wrt v? -170 Let k(c) = 2222*c**4 + 8*c**2 + 10*c + 1394. Let q(f) = 889*f**4 + 3*f**2 + 4*f + 558. Let r(a) = -5*k(a) + 13*q(a). Find the second derivative of r(x) wrt x. 5364*x**2 - 2 Let t(l) = -6*l**3 + 5*l + 1. Let s(c) = 137*c**3 - c**2 + 120*c + 6. Let a(q) = -s(q) + 6*t(q). What is the second derivative of a(k) wrt k? -1038*k + 2 What is the second derivative of -12676*l - 1307*l**2 - 1926*l**2 - 3504*l**2 + 5930*l wrt l? -13474 Let b = -140 - -144. Let d(s) = -33*s - 49. Let o(y) = 65*y + 99. Let v(q) = b*o(q) + 9*d(q). Differentiate v(i) wrt i. -37 Let w(q) be the third derivative of 28*q**7/5 + 65*q**5 - 2*q**2 - 784. Find the third derivative of w(s) wrt s. 28224*s Let d(x) be the first derivative of -x**5/5 + 115*x**4/4 + x**3 - 1400*x - 2304. What is the derivative of d(m) wrt m? -4*m**3 + 345*m**2 + 6*m Let o(p) be the second derivative of 0*p**3 + 11/6*p**4 - 10*p + 0*p**5 + 4*p**2 + 4 - 1/30*p**6. Find the first derivative of o(f) wrt f. -4*f**3 + 44*f Let w be -2*((-33)/(-22))/((-3)/4). Let s be -1 + w - (-2 - -5 - 0). What is the first derivative of 30 + s - 4 + 6*j**4 wrt j? 24*j**3 Let r(t) be the second derivative of 77*t**5/10 + t**3/3 + 683*t**2/2 + t - 50. What is the derivative of r(b) wrt b? 462*b**2 + 2 Let r(j) = 3*j**3 + j**2 + 2*j + 6. Let z be r(-3). Let g be z/(-54) + 232/6. Differentiate -g - 23 + 4*l**2 + 8*l**4 + 19 with respect to l. 32*l**3 + 8*l Let l = -10307 - -30518. What is the derivative of -2*r - 20203 + 78*r + l wrt r? 76 Let q(y) = -y - 21. Suppose 0*f + 5*f + 115 = 0. Let k be q(f). Find the third derivative of -859*h**5 - 31*h**k + 898*h**5 - 13*h**2 wrt h. 2340*h**2 Let k(t) = 2571*t**4 - 2*t - 103. Let r(v) = v**4 - 7. Let q(g) = -k(g) - 2*r(g). What is the second derivative of q(a) wrt a? -30876*a**2 Let q(f) = 3282*f**2 + 11623*f + 15. Let a(p) = -8204*p**2 - 29058*p - 36. Let x(o) = 5*a(o) + 12*q(o). What is the second derivative of x(i) wrt i? -3272 Let w(s) = -2*s**2 - 26*s + 5. Let q be w(-13). Differentiate 448 - q*t**3 - 526 + 5*t**2 + 0*t**2 with respect to t. -15*t**2 + 10*t What is the second derivative of 3466*s - 667 - 734*s**3 + 1078 - 411 wrt s? -4404*s Let o(s) = 81*s**2 - 121. Let z(t) = 40*t**2 - 60. Let b = -4 - -1. Let a(q) = b*o(q) + 5*z(q). Find the first derivative of a(j) wrt j. -86*j Find the second derivative of 4851*a + 84*a**3 - 4*a**3 + 2*a**2 - 5292*a + 83*a**3 wrt a. 978*a + 4 Let h(n) be the first derivative of -n**3/3 - 1536*n**2 + 3612*n - 1896. Differentiate h(l) wrt l. -2*l - 3072 Let f(n) be the first derivative of n**4/2 - 23*n**3/3 + 16*n**2 - 2471*n - 2618. What is the first derivative of f(u) wrt u? 6*u**2 - 46*u + 32 Let u(k) be the second derivative of 0*k**5 + 0*k**4 + 4 - 5/6*k**3 - 5*k - 2*k**2 - 5/42*k**7 + 0*k**6. Find the second derivative of u(a) wrt a. -100*a**3 Let n be (255 + 5)/(1 + 0). Suppose 4*l - n = 4. Differentiate l - 33 - 64 + 11*b wrt b. 11 Let l(q) be the first derivative of 10*q**3/3 + 4*q**2 - 3382*q + 4761. What is the derivative of l(d) wrt d? 20*d + 8 Let c(p) be the third derivative of p**5/30 + 319*p**4/8 - 3097*p**3/3 - 1904*p**2. What is the first derivative of c(v) wrt v? 4*v + 957 Let z(g) = 3*g**3 + 128*g**2 - 45*g + 9215. Let f(b) = -b**3 - 32*b**2 + 10*b - 2304. Let w(t) = -9*f(t) - 2*z(t). What is the first derivative of w(x) wrt x? 9*x**2 + 64*x Let f(a) be the first derivative of 4 + 84*a - 115/2*a**2. What is the first derivative of f(o) wrt o? -115 Let d(s) be the first derivative of -2/5*s**5 + 0*s**2 + 1/3*s**3 - 19/4*s**4 - 97 - 6*s. What is the third derivative of d(i) wrt i? -48*i - 114 Let n = 7845 + -7845. Let y(k) be the first derivative of 0*k**3 - 7/4*k**4 + 25 + 13*k + n*k**2. What is the first derivative of y(f) wrt f? -21*f**2 Let g(o) be the first derivative of 6027*o**5/5 - 47*o**3/3 - 6*o**2 + o + 5752. Find the third derivative of g(f) wrt f. 144648*f Find the third derivative of -222*y**3 - 40*y**3 - 64 + 2*y**2 + 141 + 126 wrt y. -1572 Let g = -15 - -30. Suppose 3*u - g = -4*s, 5 = 3*s + 4*u - 1. What is the third derivative of 0*h**6 - 9*h**2 - s*h**6 + 24*h**2 wrt h? -720*h**3 Let w = -192 - -197. What is the third derivative of -14*i**2 + 10*i**4 - 3*i**w - 7*i**2 - 54 + 54 wrt i? -180*i**2 + 240*i Let v(o) = -o - 20. Let x be v(-22). Let y be (-1)/(-3) + (-120)/(-54)*3. Differentiate y + 107*f**2 + 11 - 90*f**x wrt f. 34*f Suppose 0 = -5*q, 0*f + 31 = f + 3*q. Differentiate f + 55 + 10*j**3 + 22 - 34 - 2*j**4 wrt j. -8*j**3 + 30*j**2 Let s(u) be the first derivative of -62 + 0*u**5 + 0*u**2 + 0*u**4 + 0*u - 56/3*u**3 + 23/6*u**6. Find the third derivative of s(m) wrt m. 1380*m**2 Let y(j) = 8*j**3 + 815*j + 4. Let v(o) = -o**3 - o**2
{ "pile_set_name": "DM Mathematics" }
Let x = -31 + 36. Let f be -4 - x/((-10)/8). Suppose -10 = -4*j + 2. Solve 5*g + m + 22 = f, 4*m + 30 - 10 = -j*g for g. -4 Let p = 12 + 12. Suppose 0 = -t + 2*x - 3*x - 2, 4*x = 4*t - p. Solve 0*g = t*n - g + 6, 0 = -5*g for n. -3 Suppose -4*y = 1 - 9. Let l = y - -3. Solve -m + 2 = 2*b - b, -m + l = 0 for b. -3 Let k = 6 + -3. Suppose 4*u - k*f - 18 = -f, -2*f = 4*u - 22. Suppose p - 2*p = -u, -4*v + 23 = -p. Solve -4*s = y + v, 16 = -4*s + 3*y - 7*y for s. -1 Let p(o) = -o**2 + 13*o + 16. Let r be p(14). Let m(x) = 5*x**3 - x**2 - 2. Let q be m(r). Solve k = -2*k - 5*n + q, -3*k - n + 14 = 0 for k. 3 Suppose 0 = -10*q + 15*q + 5. Suppose 2*d - 58 = 3*d + 3*o, -3*d = -4*o + 148. Let h be (q - d)/(4 - 1). Solve n - 24 = -4*y + 2*n, -h = -y + 3*n for y. 5 Suppose -55 = -3*i - 2*o, 22 = 5*i - 2*o - 59. Solve -5*q - i = -j - j, j = -q - 2 for q. -3 Suppose -11*c - 4*c + 120 = 0. Solve -3*l - c = -5, 3*l = 2*u + 1 for u. -2 Let i(m) = -m**3 + 5*m - 5*m + 4*m**2 + 4 - 3*m. Let j(a) = 3*a**2 + 18*a - 18. Let p be j(1). Let y be i(p). Solve -n - 3*o - 8 = -0*n, 4*n = -y*o - 24 for n. -5 Let a(t) = 4*t - 6. Let y be a(6). Let o = 24 - y. Solve 3*c = -m + o - 2, -5*m + 9 = 4*c for c. 1 Let s be 0 + -1 + -2 + 4/(-4). Let u(a) = -a + 1. Let h be u(s). Solve 3*j + 18 = 4*m, -j - 23 = -h*m + 3*j for m. 3 Suppose -5*t + 5*b + 30 = 0, 6*t - 5*t + 3*b = 22. Solve -4*c = 3*s - 1 + 21, -2*c - t = 2*s for s. 0 Suppose 2*a - 2 = 2*l, -5 = -9*l + 11*l - 3*a. Solve -10*i + 6*i - f = 24, l*i - 4*f = 6 for i. -5 Suppose 5*c = -20, -2*h + c - 8 = -5*h. Solve 7 = 3*x + h*o + 23, 5*o + 20 = 5*x for x. 0 Suppose 414 = 13*z - 4*z. Let v = -39 + z. Solve t = -q + 4, -3*q + v*q - 3*t = 9 for q. 3 Let h be (8/20*5)/(21 - 20). Solve -h*a = 2*a + 2*z + 2, -3*z = a - 7 for a. -2 Let j be (-3 - (1 + -1)) + (32 - 26). Suppose 21 = 2*u + 3*r, j*u + 5*r = -u + 37. Solve s + u*k + 10 = 0, -2*s = -2*k + 5*k + 11 for s. -1 Let k(b) = b**3 + 8*b**2 - b + 8. Let l be k(-8). Suppose 2*m - 4 = 5*g + m, -l = -5*g - 4*m. Solve -4*j + 10 + 7 = 5*t, g = 2*t + 5*j for t. 5 Let z(k) = 14*k**2 + 84*k + 3. Let d be z(-6). Solve 3*h - 2*c - 5 = 0, -6*c = -d*h - c + 8 for h. 1 Let v(m) = m**3 - 4*m**2 + 2*m - 5. Let p be v(4). Suppose a - 4 + 3 = 0. Let q = p - a. Solve y - 3 = -2*y - 3*w, 0 = 4*y + q*w for y. -1 Let a = 48 + -101. Let s = a - -55. Let u = 3 - 1. Solve 2*i + s*x - 2 = u, -5*i + 7 = 4*x for i. -1 Suppose -4*v + 12 = 4*z, -v + 5*v - 30 = 5*z. Let u(a) = -a**2 - 7*a + 5. Let j be u(-8). Let i = j - -6. Solve 4 = i*o - v*h, -2*o - 4*h + 0*h = -10 for o. 3 Let s be (-18)/(-4)*(-40)/(-12). Let y = s - 9. Solve -4*m + 3*i = y + 4, 3*m = 2*i - 7 for m. -1 Let z = -11 - -18. Let g(n) = -2*n**2 - 13*n - 13. Suppose -r = -3 + 8. Let j be g(r). Solve 2*f + j*o + 6 = 6*f, 4*f - o = z for f. 2 Suppose z + 2 = -5*a - 8, -4*z - 4*a = 8. Suppose z = -3*s - 2 + 8. Solve -2*h - 10 = -3*u, -5*h - s*u - 1 + 14 = 0 for h. 1 Let p = -275 - -277. Solve p*t + h - 5*h = -2, 4*t + 7 = 5*h for t. -3 Suppose 20 = -8*p + 148. Solve w - 7 + p = -3*g, 4*g - 3*w = -25 for g. -4 Let o be 140/75 - 2/(-15). Suppose 0 = -0*l + 4*l - 16. Suppose l*t = o*h + 12, 2*t - 16 = -5*h + h. Solve -2*m = x - t*x + 5, -m = -4*x for x. -1 Let j(c) = -c**2 + 5*c - 1. Let b be j(4). Let h(d) = d - 2. Let i be h(9). Let r be 12/18 - i/(-3). Solve 5*q - 18 = -b*w, -r*q - q = -4*w - 8 for w. 1 Suppose -11 = -9*l + 16. Solve -4*o - 3*i + l = 0, 9*i + 9 = -2*o + 4*i for o. 3 Let o be 3 + -3 - (-6)/9*3. Solve 3*i = -3*g + 9, 0 = g - o*i - 1 + 13 for g. -2 Let n = 357 - 355. Solve 4*g + 6 - 1 = -3*l, -8 = n*l + 5*g for l. 1 Suppose -17 + 14 = t. Let a = t - -5. Solve 16 = 2*m + m - a*f, 2*m + 4*f = 0 for m. 4 Let m(d) = d**2 + 5*d - 264. Let g be m(-19). Solve -3*w = -g*u - 19, -4*w = 2*u - 0*u - 16 for u. -2 Suppose 0 = 12*x - 5*x - 371. Let c = x + -50. Solve 3*v + 4 = -t, 2*v + c*v + 5 = 0 for t. -1 Suppose 2*l - 3*i = -15, -l + 4*i - 20 = 4*l. Let n(h) = 2*h + 3. Let p be n(l). Solve 0 = -p*g - 2*y + 6*y - 25, 3*y = 4*g + 24 for g. -3 Suppose -41*a + 40*a - 5 = 2*z, 0 = -3*a - 4*z - 5. Solve -4*l = 4*v - 2*l + 6, a*l + 15 = 4*v for v. 0 Suppose -a = 4*y - 2, 5*y + 0*y = -4*a + 19. Solve a*l - l + x = 24, 16 = 2*l + 2*x for l. 4 Suppose -80*z = -69*z - 22. Solve -3*y = -5*y - 3*k + 25, -z*y = 4*k - 30 for y. 5 Suppose -159 - 97 = -32*y. Suppose 5*p - 63 - 62 = 0. Solve -5*s + 2 + y = -c, -4*c - p = -5*s for s. 1 Suppose 12 = 2*h - 4. Suppose 4*b = 4, 0 = -2*t - 3*t + 2*b + h. Suppose 0 = 3*y + 3, 5*y = 3*n + t*n - 140. Solve 3*v + 17 = r, 3*r - n = 5*v + 8 for v. -4 Let n(o) = -3*o**2 + 10*o + 2. Let x be n(4). Let b be ((-1)/(-4))/(x/(-120)). Solve -2*u = -3*u + 5*s, b = -2*u + 5*s for u. -5 Suppose 0 = -4*k + 110 + 10. Let x = -21 + k. Suppose 3*j - 33 - x = 0. Solve 3*h = z - j, -h - h - 5 = -5*z for h. -5 Let n be (-66)/(-18)*(3 - 0)*1. Let q = 6 - 4. Solve -3*s - 2 + n = -2*c, 0 = 3*c + q*s - 19 for c. 3 Let b = 1612 - 1609. Solve -r - 20 = r + b*m, m = -3*r - 16 for r. -4 Let i(z) = -18 + 15*z - 39*z + 18*z. Let m be i(-4). Solve -1 = 5*s - 4*w + m*w, w = 2 for s. -1 Let l(w) = w + 11. Let v be l(-9). Suppose 0 = 10*a - 12*a - 14. Let t be -3 + 0 + 2 - a. Solve h + 5*q = 14, q = -v*q + t for h. 4 Let u(n) be the second derivative of -n**5/20 + n**4/3 - n**3/3 + 9*n. Let a be u(3). Solve -24 = -4*s + 8*z - 4*z, 0 = -s + a*z + 10 for s. 4 Suppose 2*g + 1 - 5 = 0. Suppose -44 = -5*d + 5*m + 1, 0 = 2*d - 5*m - 3. Let x be 19/76 - d/(-8). Solve -x*r - 28 + 5 = -3*s, -g*s - 10 = 5*r for r. -4 Let t = -134 - -35. Let o = 102 + t. Solve -o*a = 7*l - 3*l + 15, -a = -2*l + 5 for l. 0 Let k be 546/56 - 10 - 1/(-4). Let h be 9/(6/(-2)) - -1. Let j = 0 - h. Solve -j*v = 4*r - 3*r, -3*r + v + 7 = k for r. 2 Suppose -19*q = 25*q - 132. Solve 0 = -q*w + 4*y - 5, -w = -0*w + 5*y - 30 for w. 5 Let t = -33 + 23. Let g be (-4)/t - (-18)/5. Suppose 0 = 2*k - 1436 + 1432. Solve -2*u + 19 = k*u - p, -p + 21 = g*u for u. 5 Let l be (689/(-5))/(-13) + (-2)/(-5). Solve 2*q + i + 1 = 4*i, 3*i - l = 4*q for q. -5 Let j be (1 - -140) + (-112)/28. Let v = j + -137. Let o = -2 + 6. Solve 2*t + 2*t + a + 11 = v, 0 = o*t - 3*a + 15 for t. -3 Suppose -6*o - 144 = -42*o. Solve 5*w = 3*n + 29, 6 = o*w - 10 for n. -3 Let n = 26 + -10. Suppose 15*d = n*d - 7. Let s = -10 - -17. Solve x = 5*v - 13, 2*x + s = 4*v - d for x. -3 Let u(h) = -h**3 + 2*h**2 + 4*h - 5. Let f be u(2). Solve 0 = -f*b - 4*l - 4, -6*l = -3*b - l + 32 for b. 4 Suppose t - 4 = -k + 3, 0 = 3*k - 3*t - 3. Solve x + r = -6, 14 = -2*x - k*r - 0*r for x. -5 Suppose -4*r - 150 + 42 = 0. Let k = 29 + r. Suppose j - 4 = -1. Solve 0 = -k*x + j - 9, 0 = -5*t - 5*x - 40 for t. -5 Suppose -9*q + 36 = -6*q. Suppose 3 = -q*t + 51. Solve x + 5*h - 11 = -x, -4*x + 16 = t*h for x. 3 Let k(i) = 2*i**2 + 9*i - 15. Let o be k(3). Solve -2*g - 2*s + 0*s - 2 = 0, 0 = 5*g - 2*s - o for g. 4 Let k(n) = n - 21. Suppose 0 = -2*s - 3*l + 46, -3*s - l = -6*s + 69. Let r be k(s). Solve -x + r = 2*i, 0 = -3*i + 7*i + 4*x + 4 for i. 3 Suppose 3*v + 9 = -3, -4*y + 28 = -3*v. Let m(u) = u**3 - 5*u**2 + 4*u + 5. Let s be m(4). Solve -5 = l + y*d + 11, 5*l = -5*d - s for l. 4 Suppose -x = 4*x - 165. Let i = -29 + x. Solve -i*d = 5*k - 17, 0*k - 4*k + 4 = 0 for d. 3 Let w be -2 + 2 - (5 + -5 + -2). Solve 2*u = -w*k, -4*u - 25 + 1 = -2*k for u. -4 Suppose -s - 7*x + 7 = -9*x, -x - 11 = -2*s. Solve -3*p + 2 = -s*p + 2*r, 4 = 2*p + r for p. 1 Let g be (10 + (-2)/(-1))*96/18. Let d = 64 - g. Solve 0 = s + b - 6*b - 25, -2*s - b - 5 = d for s. 0 Let s = 136 + -53. Let f = s + -83. Solve -3*w + 0*b + b + 15 = f, -4*w = -2*b - 22 for w. 4 Let d be (-15)/10*-2*1. Suppose 2*v - 4*j - 8 = 0, 24 = 3*v - 3*j - 3. Suppose v*w - 8 = 10*w. Solve -5 = -4*f + 5*x, 3*f - w*f = d*x - 4 for f. 5 Let y = 117 - 169. Let b = y - -55. Solve 3*v + 4*s + 21 = 0, 4*v = 5*s - 2*s - b for v. -3 Let z(q) = 18*q - 157. Let a be z(9). Solve 6 = j - a*g + 22, 20 = 3*j + 2*g for j. 4 Suppose -10 = -3*g + 5*a, g + 2*a + 3 = -1. Suppose -13*y + 8*y + 75 = g. Suppose h - 88 = -3*h. Solve 3*k + 4*l + h = -1, 5*k + 2*l + y = 0 for k. -1 Let z(k) = -k**2 + 2*k + 7. Let w be z(-3). Let r be (-6)/w*(16 + -12). Solve -r*p = 4*o - 7, 23 = -4*o + 3*p - 0*p for o. -2 Let h
{ "pile_set_name": "DM Mathematics" }
. 4 Let b(x) = -x + 19. What is the remainder when b(-10) is divided by 44/3 + 2/6? 14 Suppose l + 3*l - 60 = 0. Let o = l + -9. What is the remainder when 17 is divided by o? 5 Suppose 0 = -3*l - 6 + 165. Calculate the remainder when l is divided by 14. 11 Let c(n) = -14*n + 1. Let x(q) = -41*q + 3. Let u(i) = -17*c(i) + 6*x(i). Calculate the remainder when u(-3) is divided by 14. 11 Let f(q) = 2*q + 1. Calculate the remainder when 7 is divided by f(1). 1 Suppose 4*j = -3*t + 28, 5*t + 7*j - 65 = 4*j. Calculate the remainder when 30 is divided by t. 14 Let g(s) = -s**2 - 13*s - 9. Let h be g(-7). What is the remainder when (h/2)/(1/2) is divided by -1*50/(-6) - (-2)/3? 6 Let b be (-6)/(-5)*5/2. Suppose -3*p + 2*p = -3*o + 53, 31 = o + b*p. Calculate the remainder when o is divided by 10. 9 Let v(z) = z + 4. Let o = -1 + 9. Let j be v(o). Suppose 2*n + j = -p + 3*p, 0 = p + n - 14. Calculate the remainder when 19 is divided by p. 9 Suppose 3*u - 114 = -0*u. Suppose 5*y = 5*a - 110, a = -2*y + 10 + 6. Calculate the remainder when u is divided by a. 18 Suppose 3*c + 31 = 8*c + 4*f, 0 = -3*c + 5*f - 11. Suppose -4*t - c*d = 332, t + 102 = 2*d + 2*d. Calculate the remainder when t/(-6) + (-4)/12 is divided by 5. 4 Suppose -1 = r, q + 2*q = -5*r + 85. Let t = q - 18. Suppose -2*m - 3*m + 15 = 0, -2*b = -m - 41. What is the remainder when b is divided by t? 10 Let m be -2 - (-404)/(2/1). Suppose 0 = 3*c + c - 3*h - 146, 5*h = -5*c + m. What is the remainder when c is divided by 13? 12 Let i be 4/(-4)*(-14)/(-2). Let y(l) = -l**2 - 12*l + 5. Let p be y(i). Suppose -q - 4*g = -3 - 49, g = -q + p. Calculate the remainder when q is divided by 19. 17 What is the remainder when 23 is divided by (9/2)/(6/16)? 11 Let h be 3100/18 - 2/9. Suppose 5*z - 15 = 0, -z + h = 5*v - 2*z. What is the remainder when v is divided by ((-8)/10)/((-4)/90)? 17 Let c = -14 + 20. What is the remainder when 10 is divided by c? 4 Let r(f) = 10*f + 2. Let p = 61 - 16. Calculate the remainder when r(2) is divided by p/10*(-16)/(-6). 10 Let h be (2*1)/(-2 + 3). Let s = -29 + 45. Calculate the remainder when h/8 + (-246)/(-8) is divided by s. 15 Suppose -s = -z - 3*z - 26, 3*s - 8 = -2*z. Suppose -s*y + 3*y + 66 = 0. What is the remainder when y is divided by 12? 10 Suppose 36 = -3*o + j, -4*o - 6 = 5*j + 23. Let u = 3 - o. Calculate the remainder when 53 is divided by u. 11 Suppose -2*n - 183 = -2*f - 3*f, -3*n = 4*f - 128. What is the remainder when 173 is divided by f? 33 Calculate the remainder when 33/(-6)*(-2 - 0) is divided by (6/(-9))/((-2)/18). 5 Suppose -10*t + 21*t - 231 = 0. Calculate the remainder when (166/(-4))/(2/(-4)) is divided by t. 20 Let u(s) = -s**3 + 3*s**2 + 2*s - 4. Let z be u(3). Let b(y) = y**2 - 3*y + 6*y + 3 + 0*y**z. What is the remainder when 37 is divided by b(-5)? 11 Suppose 0*u = -3*u + 111. Let y = u - 8. Calculate the remainder when y is divided by 10. 9 Let b(a) = a**3 - 8*a**2 - 10*a + 12. Let f be b(9). Let c(l) = 5*l**2 + 3*l - 1. What is the remainder when c(f) is divided by 28? 25 Calculate the remainder when 2 + 82 - 1/((-5)/(-5)) is divided by 21. 20 Let p(q) = q**3 + 5*q**2 + q - 3. Let c be (0 - 1)*(3 + 1). What is the remainder when 26 is divided by p(c)? 8 Let o = 37 - 25. Let g be (4 - 5)/((-3)/30). Calculate the remainder when o is divided by 370/50 + (-4)/g. 5 Let r(y) = y**2 - 6*y + 10. What is the remainder when r(8) is divided by 15? 11 Let k be (5 + -5)/(-1 + -1). Suppose -63 = 3*d - k*d. What is the remainder when 26 is divided by (4/3)/((-2)/d)? 12 Let t = -21 + 21. Suppose v + 75 = 6*v. Let r = v + t. What is the remainder when r is divided by 4? 3 Let c = -10 + 40. Suppose -2*n + c = 3*n. What is the remainder when n is divided by 4? 2 Calculate the remainder when 6 is divided by 88/14 + 7/((-49)/2). 0 Let i(r) = r**2 - r + 1. What is the remainder when 49 is divided by i(4)? 10 Let n(d) = -d**2 - 12*d + 2. Suppose 21 = 3*g - 3. What is the remainder when n(-9) is divided by g? 5 Suppose -3*i - 36 = -5*p, -2*i + 4*p - 40 = 2*i. Let v(k) = 2*k - 2. Let w be v(i). Let c = w + 27. What is the remainder when 31 is divided by c? 9 Let q be 1/2 + 90/20. Let d = q + 2. What is the remainder when d is divided by 5? 2 Let i be (-1)/(0 + (-1)/(-9)). Let j = 31 + i. Suppose 3*b - 4*x = 40, 2*x = -5*b + 2*b + 34. What is the remainder when j is divided by b? 10 Suppose -69 + 55 = -g. Calculate the remainder when 67 is divided by g. 11 Let m be -2 - (2 + -1*2). Let n = m + 2. Suppose -3*z + o + 51 = -2*o, n = 3*z - 4*o - 54. Calculate the remainder when z is divided by 5. 4 Let p = -6 + 11. Let w = 38 + -20. Calculate the remainder when w is divided by p. 3 Suppose 4*o - 7*o = -381. Calculate the remainder when o is divided by 26. 23 Suppose -67 = -d - 5*i, 0 = -0*i - 5*i + 25. Calculate the remainder when d is divided by (3/2 + -2)*(-4 + -18). 9 What is the remainder when (-2064)/(-45) - (-2)/15 - -2 is divided by 2/(-9) - (-184)/18? 8 Let p = -6 + 14. Let i(q) = -q**2 + 11*q + 13. Calculate the remainder when i(10) is divided by p. 7 Let v be 3/((-699)/354 - -2). Suppose 4*b - 3 = -5*t - 143, -4*t - 2*b = v. Let g = t + 63. What is the remainder when g is divided by 11? 9 Let x = 8 + -6. Suppose -3*n = -4*o - x, -n - 8 = -0*o + 3*o. Let z(h) = -4*h**3 - 2*h**2 - 1. What is the remainder when z(o) is divided by 8? 7 Let w = 1864 - 1141. Suppose 135 - w = -4*f. Suppose -5*d = 3*g - f - 11, g = -4*d + 132. What is the remainder when d is divided by 12? 10 Suppose 2*l = -r + 13, 4*r - 3*r = 2*l + 13. What is the remainder when r is divided by 3? 1 Let f(x) = -x**2 - 10*x. Let i be f(-8). Suppose -s = -0*s - 3*d - 24, -s + i = -d. Calculate the remainder when 33 is divided by s. 9 Suppose -3*a = -2*c + 82, -102 = -2*c - a - a. What is the remainder when c is divided by (2*-1)/(-2) + 23? 23 Suppose 4*a - 3*m = 17, 2*a - 5*m - 7 = -4*m. Suppose -5*n + 71 = 4*c - 2*c, 5*c - 110 = n. What is the remainder when c is divided by 18/a + (-6)/(-2)? 11 Let d = 60 - 36. Let j = -4 - -8. What is the remainder when j is divided by (1/(-2))/((-6)/d)? 0 Let b = 76 - 38. Calculate the remainder when 74 is divided by b. 36 Let t(c) = c**2 + c + 2. Let f = 5 - 9. Let g be t(f). Let s = g + 7. What is the remainder when 62 is divided by s? 20 Suppose 3*n = -4*b + 2*b + 15, -n - 46 = -5*b. Suppose 5*r - 12 - 8 = 0. What is the remainder when r is divided by (b/21)/(3/21)? 1 Let n(p) = -2*p**2 + 8 + p + 0*p**3 + p**3 + 8*p**2. Let z be n(-6). Suppose 0 = o + z*o - 36. What is the remainder when 35 is divided by o? 11 Let m(x) = -3 + 0 + 3*x - 1 + 3. Suppose 3*k - 4*y - 8 = k, 2*k + 5*y - 17 = 0. What is the remainder when m(k) is divided by 5? 2 Let t = 4 + -2. Suppose -4*r - t*x + 22 = 0, 4*x = 3*r + x - 3. Suppose -r*l + 23 = -21. Calculate the remainder when l is divided by 4. 3 Suppose 2*g + 21 - 51 = 0. Calculate the remainder when g is divided by 6. 3 Suppose 0 = 2*r - 62 - 44. Suppose -3*c = -4*i + 78, 8*c - 4*c = -4*i + 64. What is the remainder when r is divided by i? 17 Suppose 101 - 26 = 5*x. What is the remainder when (-1)/(-1) + (-2 - -43) is divided by x? 12 Suppose -3*l - 36 = -7*l. What is the remainder when 14 is divided by l? 5 Let b be (-100)/(-24) - (-3)/(-18). Calculate the remainder when 34 is divided by (b/(-8))/(2/(-48)). 10 Let p(b) = b + 1. Let o be p(3). Let k = o - -1. Calculate the remainder when 18 is divided by k. 3 Suppose -2*d + 2*h = -36, 3*d = d - 3*h + 16. What is the remainder when 54 is divided by d? 12 Let t(a) = -a**2 - 12*a - 2. What is the remainder when 44 is divided by t(-11)? 8 Let x(w) = w + 3. Let f be x(0). Suppose 5*n - 2*y - 88 = 0, -f*y + 15 = n - 6*y. Suppose i - 29 = 6. Calculate the remainder when i is divided by n. 17 Suppose b + 21 - 30 = 0. Calculate the remainder when b is divided by 4. 1 Let g be (-6)/(-9) - (-21)/9. Suppose -g = l - 2*l. Suppose l*r = d + 4, 4*r + 5*d - 23 - 14 = 0. What is the remainder when 4 is divided by r? 1 Let b = 4 - -58. What is the remainder when b is divided by 248/12 + 2/6? 20 Let c be -1 - (2 + 6/(-3)). Let u = 13 - c. Calculate the remainder when u is divided by 4. 2 Let h be 1/(4/36*3). Suppose q - 31 = -h*r, q + 2*r = -q + 82. Calculate the remainder when q is div
{ "pile_set_name": "DM Mathematics" }
*3 Collect the terms in -l + 9*l - 14 + 11 + 22. 8*l + 19 Collect the terms in -2*f - 3*f**2 - 14*f + 2*f. -3*f**2 - 14*f Collect the terms in 1 + 2*d + 12 + 8. 2*d + 21 Collect the terms in -66*j**3 + j - j**2 - j + 84*j**3. 18*j**3 - j**2 Collect the terms in -19*l + 6*l - 71*l - 54*l. -138*l Collect the terms in -26232 + 26232 - 2*a. -2*a Collect the terms in 12 + 1 + 3*j - 13. 3*j Collect the terms in -2*u**2 + 106 - 3*u**2 - 106 + 6*u**2. u**2 Collect the terms in -3*b**3 - 6*b**3 - b**3 + 4*b**3. -6*b**3 Collect the terms in 12*d**2 - 11*d**2 + 9*d**2 + 13*d**2. 23*d**2 Collect the terms in 931 - 2798 + 935 - l**2 + 932. -l**2 Collect the terms in -5*q + 5*q - 5*q + 3*q. -2*q Collect the terms in -18*r**2 - 2*r + 0*r + 2*r. -18*r**2 Collect the terms in -31*p**2 - 198*p**2 + 9*p**2 - 24*p**2. -244*p**2 Collect the terms in 9 - 2*z - 13 + 1 + 3. -2*z Collect the terms in -14 + 3*p**2 + 31 - 17. 3*p**2 Collect the terms in 91*u + 30*u**3 - 91*u. 30*u**3 Collect the terms in 926*m**3 - 458*m**3 - 469*m**3. -m**3 Collect the terms in -20*c - 18*c + 48*c. 10*c Collect the terms in -34*a + 11*a - a + 12*a. -12*a Collect the terms in -43*y**3 + 92*y**3 + 39*y**3. 88*y**3 Collect the terms in -v**3 + 3*v**3 + 4*v**2 + 22*v**2 - 7*v**2. 2*v**3 + 19*v**2 Collect the terms in 29 + 2*q - 11 + 15. 2*q + 33 Collect the terms in -3*f**3 - 7 + 8 - 1. -3*f**3 Collect the terms in 145*j**3 + 144*j**3 - 441*j**3 + 149*j**3. -3*j**3 Collect the terms in -395 - 41*p + 395 + p**2. p**2 - 41*p Collect the terms in 9*x - 14 + 21 - 7. 9*x Collect the terms in 0*q - 2*q**3 - 6*q**3 - q**3 + 9*q. -9*q**3 + 9*q Collect the terms in 2*u**2 - 3 - 9*u**2 + 3. -7*u**2 Collect the terms in 20*b - 49*b + 7*b + 27*b. 5*b Collect the terms in 2049 - 22*i**2 - 2049. -22*i**2 Collect the terms in -31*b**2 + 58*b**2 - 32*b**2. -5*b**2 Collect the terms in -267*d**2 + 129*d**2 + 145*d**2. 7*d**2 Collect the terms in 2256*l + 13 + 2*l**3 - 2256*l. 2*l**3 + 13 Collect the terms in -25*h - 5*h + 30*h + 4*h**2. 4*h**2 Collect the terms in -d**2 + d**2 + 7*d**2 - 4*d**2. 3*d**2 Collect the terms in 2*v + 106 - 106. 2*v Collect the terms in q**2 + 54*q**3 - 32*q**3 - 4*q**2 - 32*q**3. -10*q**3 - 3*q**2 Collect the terms in 21*i - 79*i + 23*i + 13*i + 23*i. i Collect the terms in 9*t**3 - t**3 - 2*t**3 - 4*t**3. 2*t**3 Collect the terms in 13*d**3 - 40*d**3 + 17*d**3 + 8*d**3. -2*d**3 Collect the terms in -29 - 2*p**2 + 29. -2*p**2 Collect the terms in 3*i + 6*i + 0*i + 3*i - 7*i. 5*i Collect the terms in -2*q + 9*q - 5*q. 2*q Collect the terms in -8*o + 16*o - 4*o. 4*o Collect the terms in -b**3 - 8*b**3 + 26*b**2 - 5 + 3. -9*b**3 + 26*b**2 - 2 Collect the terms in -17*r**2 + 6*r**2 + 9*r**2. -2*r**2 Collect the terms in -36674*u**3 + 0*u**2 + u**2 + 36673*u**3 - u**2. -u**3 Collect the terms in 46*a**2 - a - 45*a**2 + a. a**2 Collect the terms in -35 - 2*n + 2*n + n. n - 35 Collect the terms in 33 - 6 - 2*x**3 - 12 - 15. -2*x**3 Collect the terms in 5*u**3 - 11 + u**3 + 8 - 5*u**3. u**3 - 3 Collect the terms in 6*t**2 - 317*t + 317*t - 43*t**2. -37*t**2 Collect the terms in 3 - 19 - d + 16. -d Collect the terms in -4 - 8 + 8 - 11*y. -11*y - 4 Collect the terms in 6*r + 3*r - 15*r. -6*r Collect the terms in -10*z**3 + 8*z**3 + 7*z**3. 5*z**3 Collect the terms in 4*g**2 - 25*g**2 - 125*g**2. -146*g**2 Collect the terms in -241*l**3 + 91*l**3 + 80*l**3 + 79*l**3. 9*l**3 Collect the terms in -1399 + 3*c + c - 4*c - 2*c. -2*c - 1399 Collect the terms in 10*f**2 + 82*f - 5*f**2 - 82*f. 5*f**2 Collect the terms in 4*j - 2*j + 5*j. 7*j Collect the terms in -27*i**3 + 55*i**3 - 36*i**3. -8*i**3 Collect the terms in -877*b**2 + 0*b - 652*b**2 - 2*b. -1529*b**2 - 2*b Collect the terms in 348 - 13*o - 348. -13*o Collect the terms in 24*s + 8777 - 17*s + 16*s - 8777. 23*s Collect the terms in -7*w - w**2 - 3*w + 2*w + 8*w. -w**2 Collect the terms in -12987 + 12987 - 5*s**3. -5*s**3 Collect the terms in 1583 - 4*d - 1583. -4*d Collect the terms in 45*d - 10*d**2 - 38*d + 2*d**2. -8*d**2 + 7*d Collect the terms in -2*l**2 - 18*l**2 - 7*l**2 - 2*l**2. -29*l**2 Collect the terms in -2 - 9*w**3 + 2. -9*w**3 Collect the terms in 34*w - 25*w + 24*w. 33*w Collect the terms in -429*g**3 + 404*g**3 - 911*g**3. -936*g**3 Collect the terms in 4*o**3 - 9*o + 9*o + 0*o + 0*o. 4*o**3 Collect the terms in 0*a**2 - 2*a**3 + 301 + 0*a**2. -2*a**3 + 301 Collect the terms in -2*z**2 + 5*z**2 - 4*z**2. -z**2 Collect the terms in -27*b + 16*b + 25*b. 14*b Collect the terms in -5*a + 0*a - 11*a. -16*a Collect the terms in 13 - 4 - 9 + 4*r. 4*r Collect the terms in -16 + 41 - 6*a - 16. -6*a + 9 Collect the terms in -3*x**3 + 56*x - 56*x. -3*x**3 Collect the terms in 12 + 10 - 22 + q. q Collect the terms in 46*q**3 + 14*q**3 + 50*q**3. 110*q**3 Collect the terms in 7*d**3 + 0*d**3 - 8*d**3. -d**3 Collect the terms in -6*r**2 + 9*r**2 - 5*r**3 - 3*r**2. -5*r**3 Collect the terms in 10*z**3 - 19*z**3 + 4*z**3 + 2*z**3. -3*z**3 Collect the terms in -15*u**3 - 24*u**3 - 15*u**3 + 61*u**3. 7*u**3 Collect the terms in 17 + 24 - 16 + l. l + 25 Collect the terms in -215 + 215 + 2*a. 2*a Collect the terms in -117*k**2 - 373*k**2 - 169*k**2 - 543*k**2. -1202*k**2 Collect the terms in 2*p**2 - 8*p**2 - 3*p**2 - 5*p**2 + 13*p**2. -p**2 Collect the terms in 0*t + 7*t - 6*t. t Collect the terms in -113*k**2 + 220*k**2 - 116*k**2. -9*k**2 Collect the terms in 185*h**2 + 190*h**2 + 193*h**2 - 569*h**2. -h**2 Collect the terms in -2*d**2 - 36236*d + 36236*d. -2*d**2 Collect the terms in y - 155 + 155 + y. 2*y Collect the terms in -17*f**3 - 25*f**3 + 5*f**3. -37*f**3 Collect the terms in s**3 + 4*s**3 - s**3 + 0*s**3 - s**3. 3*s**3 Collect the terms in 303 - 10*u**3 - 610 + 307. -10*u**3 Collect the terms in 20*a**2 - 28*a**2 + 15*a**2. 7*a**2 Collect the terms in -16*k**3 + 3*k**3 + k**3. -12*k**3 Collect the terms in 9*q - 8*q - 3020 + 3020. q Collect the terms in 24*j + j + 2*j - 8*j. 19*j Collect the terms in 7*t**2 - 22*t**2 - 2*t**3 + 8*t**2 + 7*t**2. -2*t**3 Collect the terms in 46*d - 15*d + 50*d. 81*d Collect the terms in 3445 + 8*t - 3445. 8*t Collect the terms in -108*d**3 + 106*d**3 - 1 - 10 + 11. -2*d**3 Collect the terms in -5*z**2 + 4*z**2 - 3*z**2. -4*z**2 Collect the terms in -3*m**2 + 17*m**2 - 2*m**2 - 11*m**2. m**2 Collect the terms in 11*f**3 + 6*f**3 - 14*f**3 + 0*f**3. 3*f**3 Collect the terms in -5*i - 4*i + 2*i + 7*i + 3*i. 3*i Collect the terms in -4 + 4 - 3*v + 2*v - 3*v. -4*v Collect the terms in -67 + 67 - 40*g**2. -40*g**2 Collect the terms in 5*g - 7*g - g. -3*g Collect the terms in -2 - 1228*p**3 - 1 + 3 + 1226*p**3. -2*p**3 Collect the terms in -56*j + 20*j - 38*j. -74*j Collect the terms in 1097*c - 1097*c - 14*c**2. -14*c**2 Collect the terms in 52 + 3*z**2 - 16 - 2*z**2. z**2 + 36 Collect the terms in -17*h - 29*h - 3*h**2 - 15*h. -3*h**2 - 61*h Collect the terms in -315*k**3 - 319*k**3 + 633*k**3. -k**3 Collect the terms in 15*g - 10*g - 5*g + 32*g**2 - 29*g**2. 3*g**2 Collect the terms in 10*u + 56*u + 3 + 0. 66*u + 3 Collect the terms in 9*b**2 - 19*b**2 - 12*b**2. -22*b**2 Collect the terms in -244*b**2 + 431*b**3 + 244*b**2. 431*b**3 Collect the terms in 4*h + 6*h - 7*h - 2*h. h Collect the terms in 852 + 18*b - 424 - 428. 18*b Collect the terms in 4*o**2 - o**2 - 5*o**3 + 12*o**3 + 29*o**3. 36*o**3 + 3*o**2 Collect the terms in -4*w**2 + 5*w**2 + 2 + 2*w**2 - 2*w**2. w**2 + 2 Collect the terms in -14*y - 3*y - 10*y + 16*y. -11*y Collect the terms in 194*b**2 + 192*b**2 - 4 - 384*b**2 + 4. 2*b**2 Collect the terms in -152 - 14*j + 152. -14*j Collect the terms in 467*g + 469*g - 933*g. 3*g Collect the terms in 4*x**3 - 74*x - 3*x**3 + x**3 + 229*x. 2*x**3 + 155*x Collect the terms in 7*t**2 - 4*t**2 - 4*t**2. -t**2 Collect the terms in -66*y**2 + 28*y**2 + 33*y**2. -5*y**2 Collect the terms in 14 - 5 + 15*r - 5 - 3. 15*r + 1 Collect the terms in -70*n + 180*n - 113*n. -3*n Collect the terms in -210*s**2 - 171*s**2 + 57*s**2. -324*s**2 Collect the terms in -6*t**2 - 7*t**2 + 11*t**2. -2*t**2 Collect the terms in -44*i + 113*i + 165*i. 234*i Collect the terms in 1789 - 3576 + 1787 + d. d Collect the terms in -m**3 + 50 - 50. -m**3 Collect the terms in 5*v - 29147 + 29147. 5*v Collect the terms
{ "pile_set_name": "DM Mathematics" }
-127, -131, -137, -145, -155? -n**2 + 3*n - 127 What is the o'th term of -40, -42, -36, -16, 24, 90, 188, 324? o**3 - 2*o**2 - 3*o - 36 What is the w'th term of -5, -7, -9? -2*w - 3 What is the x'th term of 58, 375, 1244, 2941, 5742, 9923? 46*x**3 - 5*x + 17 What is the j'th term of -55, -120, -185? -65*j + 10 What is the u'th term of 12, 13, 14, 15, 16, 17? u + 11 What is the v'th term of -7, -12, -13, -10, -3, 8? 2*v**2 - 11*v + 2 What is the o'th term of 145, 299, 445, 577, 689, 775? -o**3 + 2*o**2 + 155*o - 11 What is the q'th term of -74, -88, -102, -116, -130? -14*q - 60 What is the s'th term of -2015, -2027, -2053, -2099, -2171? -s**3 - s**2 - 2*s - 2011 What is the n'th term of -170, -364, -568, -782, -1006, -1240, -1484? -5*n**2 - 179*n + 14 What is the z'th term of -9626, -19249, -28872, -38495, -48118, -57741? -9623*z - 3 What is the p'th term of -25, -19, -11, -1? p**2 + 3*p - 29 What is the i'th term of -1015, -1006, -987, -952, -895? i**3 - i**2 + 5*i - 1020 What is the m'th term of -35, -59, -83? -24*m - 11 What is the p'th term of -93, -299, -613, -1011, -1469, -1963, -2469? 4*p**3 - 78*p**2 - 19 What is the c'th term of -62, -89, -70, 7, 154, 383? 2*c**3 + 11*c**2 - 74*c - 1 What is the j'th term of 153, 168, 179, 174, 141, 68, -57? -2*j**3 + 10*j**2 - j + 146 What is the k'th term of 4099, 8199, 12299, 16399? 4100*k - 1 What is the y'th term of 168, 320, 486, 672, 884, 1128, 1410, 1736? y**3 + y**2 + 142*y + 24 What is the b'th term of 3024, 3022, 3020, 3018, 3016? -2*b + 3026 What is the i'th term of -221, -229, -237, -245? -8*i - 213 What is the l'th term of 114, 242, 362, 468, 554, 614? -l**3 + 2*l**2 + 129*l - 16 What is the k'th term of 20, 42, 64, 86, 108, 130? 22*k - 2 What is the c'th term of 148, 167, 198, 247, 320, 423, 562, 743? c**3 + 12*c + 135 What is the u'th term of -1, 18, 37, 44, 27, -26, -127? -2*u**3 + 12*u**2 - 3*u - 8 What is the a'th term of -6040, -6039, -6038, -6037? a - 6041 What is the i'th term of -5, 20, 85, 208, 407, 700, 1105? 3*i**3 + 2*i**2 - 2*i - 8 What is the i'th term of -7, 18, 59, 116? 8*i**2 + i - 16 What is the u'th term of -180, -1438, -4846, -11478, -22408, -38710? -179*u**3 - u**2 - 2*u + 2 What is the c'th term of -179, -360, -555, -770, -1011, -1284, -1595? -c**3 - c**2 - 171*c - 6 What is the l'th term of 370, 743, 1116? 373*l - 3 What is the a'th term of -79, -112, -157, -220, -307, -424? -a**3 - 26*a - 52 What is the n'th term of -48, -115, -182, -249, -316, -383? -67*n + 19 What is the s'th term of -41, -108, -225, -416, -705, -1116? -4*s**3 - s**2 - 36*s What is the d'th term of -47, -46, -37, -14, 29? d**3 - 2*d**2 - 46 What is the v'th term of -261, -1042, -2337, -4140, -6445, -9246, -12537? v**3 - 263*v**2 + v What is the m'th term of 41, 205, 469, 827, 1273? -m**3 + 56*m**2 + 3*m - 17 What is the y'th term of 184, 948, 2230, 4036, 6372, 9244, 12658, 16620? y**3 + 253*y**2 - 2*y - 68 What is the r'th term of -173, -84, 5, 94? 89*r - 262 What is the n'th term of 69, 111, 151, 189, 225? -n**2 + 45*n + 25 What is the g'th term of -28, -97, -178, -277, -400? -g**3 - 62*g + 35 What is the v'th term of -2646, -2674, -2700, -2724, -2746? v**2 - 31*v - 2616 What is the n'th term of -67, -113, -133, -115, -47, 83, 287, 577? 2*n**3 + n**2 - 63*n - 7 What is the u'th term of 4, 25, 68, 139, 244, 389, 580? u**3 + 5*u**2 - u - 1 What is the n'th term of 26, 51, 76? 25*n + 1 What is the n'th term of 6402, 6404, 6406? 2*n + 6400 What is the z'th term of -25, -32, -39, -46, -53? -7*z - 18 What is the o'th term of 913, 920, 931, 946, 965, 988? 2*o**2 + o + 910 What is the l'th term of -6404, -12807, -19208, -25607, -32004? l**2 - 6406*l + 1 What is the y'th term of 1550, 1539, 1520, 1493, 1458, 1415, 1364? -4*y**2 + y + 1553 What is the u'th term of 48, 58, 66, 72? -u**2 + 13*u + 36 What is the p'th term of -20, 4, 50, 124, 232, 380, 574, 820? p**3 + 5*p**2 + 2*p - 28 What is the a'th term of -16, -8, 0, 8, 16, 24? 8*a - 24 What is the l'th term of -12, -27, -48, -75, -108? -3*l**2 - 6*l - 3 What is the b'th term of -15, -41, -99, -201, -359, -585, -891, -1289? -2*b**3 - 4*b**2 - 9 What is the g'th term of 323, 653, 987, 1325, 1667, 2013? 2*g**2 + 324*g - 3 What is the t'th term of 142, 182, 222, 262? 40*t + 102 What is the s'th term of -125, -130, -147, -182, -241? -s**3 + 2*s - 126 What is the u'th term of 693, 695, 697, 699, 701, 703? 2*u + 691 What is the i'th term of 1459, 1454, 1447, 1438? -i**2 - 2*i + 1462 What is the z'th term of -174, -184, -208, -252, -322, -424, -564, -748? -z**3 - z**2 - 172 What is the h'th term of 20, 25, 34, 47? 2*h**2 - h + 19 What is the b'th term of 1572, 3150, 4728, 6306, 7884? 1578*b - 6 What is the y'th term of -15, -18, -11, 6? 5*y**2 - 18*y - 2 What is the b'th term of -10, 8, 36, 80, 146? b**3 - b**2 + 14*b - 24 What is the k'th term of -1647, -1648, -1649, -1650, -1651? -k - 1646 What is the s'th term of 26, 69, 130, 209? 9*s**2 + 16*s + 1 What is the p'th term of 70, 152, 248, 358, 482? 7*p**2 + 61*p + 2 What is the f'th term of 43, 46, 47, 46, 43, 38, 31? -f**2 + 6*f + 38 What is the k'th term of 23, 66, 137, 236, 363? 14*k**2 + k + 8 What is the p'th term of 35, -68, -341, -868, -1733, -3020, -4813, -7196? -14*p**3 - p**2 - 2*p + 52 What is the v'th term of 97, 198, 299, 400, 501, 602? 101*v - 4 What is the j'th term of 481, 960, 1439, 1918? 479*j + 2 What is the c'th term of 70, 73, 76? 3*c + 67 What is the r'th term of -21, -9, 3, 15, 27? 12*r - 33 What is the x'th term of 7, 13, 23, 37, 55, 77, 103? 2*x**2 + 5 What is the l'th term of -31, -120, -267, -472, -735, -1056, -1435? -29*l**2 - 2*l What is the i'th term of -9, 14, 51, 102, 167, 246, 339? 7*i**2 + 2*i - 18 What is the o'th term of -59, -108, -177, -272, -399, -564, -773? -o**3 - 4*o**2 - 30*o - 24 What is the x'th term of 38, 60, 82? 22*x + 16 What is the h'th term of -703, -694, -673, -634, -571, -478, -349? h**3 + 2*h - 706 What is the d'th term of -249, -498, -747, -996, -1245? -249*d What is the d'th term of -27, -39, -43, -39, -27? 4*d**2 - 24*d - 7 What is the c'th term of 2516, 2517, 2528, 2555, 2604, 2681? c**3 - c**2 - 3*c + 2519 What is the a'th term of -4925, -4926, -4927, -4928, -4929? -a - 4924 What is the b'th term of -2122, -2127, -2120, -2095, -2046, -1967, -1852? b**3 - 12*b - 2111 What is the j'th term of 200, 199, 198? -j + 201 What is the h'th term of 18, 101, 252, 471? 34*h**2 - 19*h + 3 What is the c'th term of -52, -192, -420, -730, -1116? c**3 - 50*c**2 + 3*c - 6 What is the v'th term of 14, 34, 52, 68, 82? -v**2 + 23*v - 8 What is the f'th term of -3773, -3774, -3775, -3776, -3777? -f - 3772 What is the j'th term of -1015, -1014, -1013, -1012, -1011, -1010? j - 1016 What is the q'th term of -93, -94, -95, -96, -97, -98? -q - 92 What is the y'th term of -58, -64, -80, -112, -166, -248, -364, -520? -y**3 + y**2 - 2*y - 56 What is the i'th term of 496, 497, 500, 505? i**2 - 2*i + 497 What is the y'th term of 34, 59, 84, 109, 134, 159? 25*y + 9 What is the k'th term of -5415, -5417, -5419, -5421, -5423? -2*k - 5413 What is the x'th term of -112, -444, -998, -1774? -111*x**2 + x - 2 What is the m'th term of -105, -211, -317, -423, -529, -635? -106*m + 1 What is the j'th term of -75, -59, -29, 21, 97, 205, 351? j**3 + j**2 + 6*j - 83 What is the o'th term of -5, -20, -45, -86, -149, -240? -o**3 + o**2 - 11*o + 6 What is the l'th term of -1400, -2804, -4208? -1404*l + 4 What is the l'th term of 10281, 10283, 10287, 10293, 10301, 10311, 10323? l**2 - l + 10281 What is the w'th term of 44, 72, 104, 140, 180? 2*w**2 + 22*w + 20 What is the u'th term of -10, -40, -84, -148, -238, -360? -u**3 - u**2 - 20*u + 12 What is the r'th term of 22553, 45107, 67661, 90215? 22554*r - 1 What is the i'th term of 48, 43, 38? -5*i + 53 What is the g'th term of 1495, 2997, 4499, 6001, 7503? 1502*g - 7 What is the z'th term of 6, -10, -44, -96, -166, -254, -360? -9*z**2 + 11*z + 4 What is the n'th term of 11966, 23933, 35900, 47867, 59834, 71801? 11967*n - 1 What is the s'th term of -9, -11, -21, -45, -89? -s**3 + 2*s**2 - s - 9 What is the a'th term of 28, 10, -8? -18*a + 46 What is the p'th term of -60, -138, -230, -342, -480, -650, -858, -1110? -p**3 - p**2 - 68*p + 10 What is
{ "pile_set_name": "DM Mathematics" }
-f(c) - 52*x(c). Give u(k(w)). 8424*w**4 Let y(s) = -1690*s**2 + 4. Let c(i) = -2*i. Give y(c(u)). -6760*u**2 + 4 Let q(p) = -64*p + 1. Let o(v) = -2*v + 3013. Give o(q(u)). 128*u + 3011 Let d(h) = -3*h. Let o(f) = -480*f - 1414. Determine d(o(q)). 1440*q + 4242 Suppose 11*m = 9*m + 4. Let d(v) = 8 + v**2 - 2*v**m - 8. Let p(n) = 5*n**2. Calculate p(d(j)). 5*j**4 Let m(v) = -9*v - 4. Let a(o) = 4*o + 2. Let t(z) = 2*a(z) + m(z). Let y(l) be the second derivative of 10*l**4/3 - l. What is y(t(j))? 40*j**2 Let w be ((-2)/(-3))/(17/(1071/28)). Let c(u) be the first derivative of w*u**2 + 2 + 0*u. Let i(a) = 2*a**2. Calculate i(c(r)). 18*r**2 Let k(j) = -1037*j + 47 - 1040*j + 2075*j. Let z(f) = 4*f. Give k(z(p)). -8*p + 47 Let i(t) = -3*t + 15. Let g(l) = -18*l**2 - 12*l - 4. Let y(k) = 21*k**2 + 15*k + 5. Let u(o) = 5*g(o) + 4*y(o). What is u(i(j))? -54*j**2 + 540*j - 1350 Let i(o) = 3*o. Let y(n) = 582647*n. Determine i(y(q)). 1747941*q Let y(x) = 44828*x**2. Let l(d) = d. Give l(y(v)). 44828*v**2 Let k(o) = -139*o - 1. Let f(h) = -254*h**2. Determine k(f(c)). 35306*c**2 - 1 Let h(c) = -957*c**2 - 64*c. Let l(f) = 6*f**2. What is h(l(z))? -34452*z**4 - 384*z**2 Let o(k) = 2 - 12 + 10 + 25*k. Let r(f) = -2*f. Calculate o(r(n)). -50*n Let t(d) = 2*d. Let r(w) be the third derivative of -7*w**5/12 + 2*w**2 + 55*w. Give r(t(h)). -140*h**2 Let b(l) = -25*l + 80*l - 55*l + 4*l**2. Let h(t) = t + 21. Calculate h(b(s)). 4*s**2 + 21 Let t(f) = -f - 870. Let o(z) = -2*z**2. Determine o(t(y)). -2*y**2 - 3480*y - 1513800 Let g(m) = 3*m**2. Let u(f) = 47*f**2 - 5. Let v(n) = 330*n**2 - 36. Let p(b) = -36*u(b) + 5*v(b). What is g(p(r))? 5292*r**4 Let x(i) = -2*i**2. Let d(j) = -193965*j - 2345. Let o(q) = 331*q + 4. Let p(h) = 4*d(h) + 2345*o(h). Determine p(x(m)). -670*m**2 Let o(c) = -189*c - 1. Let h(l) = 10*l + 1. Let z(n) = 29*n + 3. Let r(b) = 6*h(b) - 2*z(b). What is r(o(y))? -378*y - 2 Let u(l) = 929595*l. Let s(v) = 2*v**2. Calculate s(u(g)). 1728293728050*g**2 Let m be (-2)/(-4)*0*(-10)/(-80). Let y(a) be the third derivative of 0*a + 0*a**3 + 0*a**4 + m + 1/60*a**5 - 5*a**2. Let i(f) = -2*f**2. Give y(i(g)). 4*g**4 Let u(r) be the third derivative of 0*r**3 + 0 + 1/12*r**4 - 2*r**2 + 0*r. Let c(i) be the third derivative of -i**5/30 + 12*i**2 + 2*i. Determine c(u(j)). -8*j**2 Let d(j) = 3*j**2 - j**2 - j**2. Let c(g) be the second derivative of 35*g**4/12 - 38*g. Give c(d(r)). 35*r**4 Let t(r) = -86*r**2 + 2*r - 2. Let v(d) = -2*d. Calculate v(t(h)). 172*h**2 - 4*h + 4 Let b(a) = -869*a. Let r(v) = -12*v**2. What is b(r(o))? 10428*o**2 Let t(j) be the third derivative of 0*j + 0 - 7*j**2 - 1/60*j**5 + 0*j**3 + 0*j**4. Let p(c) = -26*c. Give p(t(g)). 26*g**2 Let g(u) = -13*u**2 - 119*u - 109*u + 228*u. Let s(o) = 8*o**2. Calculate s(g(k)). 1352*k**4 Let k(u) = u. Let a(m) = -195599*m**2. What is k(a(t))? -195599*t**2 Let a(n) = -4*n. Let u(k) = 1394*k**2 - k. Determine u(a(f)). 22304*f**2 + 4*f Let f(w) = -w. Let x(k) = -6*k + 2. Suppose -1 = -3*u - 4, 5*i - 2*u = -53. Let r(o) = 30*o - 11. Let m(l) = i*x(l) - 2*r(l). What is f(m(d))? -6*d Let n(c) = -12*c + 36. Let r(y) = 3*y - 8. Let x(i) = 2*n(i) + 9*r(i). Let k(b) be the third derivative of -b**5/60 - b**2. Calculate x(k(d)). -3*d**2 Let y(v) = 5*v. Suppose -118 - 44 = -6*r. Let l(o) = 0*o + o + 27 - r. What is l(y(f))? 5*f Let l(o) = -45*o**2. Let g(h) = 249*h. Determine l(g(z)). -2790045*z**2 Let v(p) = -2120*p. Let l(d) = -239*d**2 + 3*d. Determine l(v(t)). -1074161600*t**2 - 6360*t Let y(z) = -37*z**2. Let f(w) be the third derivative of -w**4/6 - 225*w**2. Determine f(y(n)). 148*n**2 Let v(d) = -18*d. Let c(a) = 1899*a**2. Calculate v(c(z)). -34182*z**2 Let s(k) = k**2. Let a(u) = 0*u + 5*u - 224*u**2 + 219*u**2. Calculate s(a(r)). 25*r**4 - 50*r**3 + 25*r**2 Let c(m) be the first derivative of 5*m**2 - 302. Let w(v) = -v**2 + 10. Calculate w(c(h)). -100*h**2 + 10 Let h(k) be the third derivative of k**2 + 0*k**3 - 1/12*k**4 + 0*k + 0. Let b(d) be the third derivative of -d**5/60 + 96*d**2. Give b(h(s)). -4*s**2 Let b(t) = 2*t**2. Let n(y) = y**2 + 2*y**2 + 42*y**2 - 19*y**2. Calculate b(n(i)). 1352*i**4 Let h = 153 + -151. Let i(x) = -3*x**h + 29*x**2 - 3*x**2. Let j(r) = r. Give i(j(o)). 23*o**2 Let a(k) = -24574*k**2. Let n(l) = 21*l. Give n(a(w)). -516054*w**2 Let m(w) = 21*w**2. Let z(l) = 2*l + 3. Let f(g) = -2*g - 3. Let i(c) = 4*f(c) + 5*z(c). Let a(b) = -4*b - 7. Let k(o) = -3*a(o) - 7*i(o). Calculate m(k(u)). 84*u**2 Let z(o) = 3*o**2. Let x(c) = -c**2 - c + 1. Let a(h) = -4*h**2 + h - 1. Suppose -g + 4 = g. Suppose -g*w - 1 = -3. Let s(m) = w*x(m) + a(m). What is z(s(u))? 75*u**4 Let d(v) = -2*v**2. Let t(r) = r**2 + 1000*r + 58. What is t(d(s))? 4*s**4 - 2000*s**2 + 58 Let t(j) = 69 - 3*j - 66 + 4*j**2 - 5*j**2. Let o be -3*(5/3 - 1). Let p(s) = -s**2 - 2*s + 2. Let g(u) = o*t(u) + 3*p(u). Let c(f) = -4*f. What is g(c(i))? -16*i**2 Let n(h) = 112*h + 4. Let u(o) = 19*o**2 - 4*o. Give u(n(m)). 238336*m**2 + 16576*m + 288 Let b(n) = -118*n**2 + 4045*n. Let w(x) = -x**2. Determine b(w(o)). -118*o**4 - 4045*o**2 Let h(w) = 4*w. Suppose 2*r + 17 = -5*q, -r + 3*r - 13 = 5*q. Let o(u) = -1. Let j(x) = x + 5. Let b(s) = r*j(s) - 5*o(s). Give h(b(m)). -4*m Suppose 0 = -4*k, -3*b - 5*k - 8 = b. Let d(h) = 261*h - 27. Let x(q) = -20*q + 2. Let i(y) = b*d(y) - 27*x(y). Let a(n) = 2*n. What is i(a(s))? 36*s Let h(x) = -4*x. Let t(y) be the second derivative of -y**5/30 + 17*y**3/6 + 4*y. Let g(c) be the second derivative of t(c). Give g(h(d)). 16*d Let x(w) = 55 - 28 - 2*w - 25. Let l(a) = -8*a + 7. Let k(q) = -2*l(q) + 7*x(q). Let r(d) = -2*d + 3*d + 0*d. What is k(r(m))? 2*m Let h(t) = 75546*t. Let a(k) = -k. Determine a(h(v)). -75546*v Let f(j) be the second derivative of j**6/120 + 5*j**3/6 + 4*j. Let i(z) be the second derivative of f(z). Let q(m) = -8*m. Give i(q(l)). 192*l**2 Let n(h) = -3*h. Let c(z) be the second derivative of 139*z**3/6 + z**2/2 - 35*z - 2. What is n(c(f))? -417*f - 3 Let m(d) be the first derivative of -3 + 1/2*d**2 + 0*d. Let g(v) = 7*v. Let a(k) = 7*k. Let z(p) = -4*a(p) + 3*g(p). Calculate z(m(s)). -7*s Let i(o) be the third derivative of 109*o**5/15 - 739*o**2. Let y(w) = 2*w. Give i(y(m)). 1744*m**2 Let d(b) = -77*b. Let y(m) be the third derivative of m**4/12 - 3*m**2 - 6*m. What is d(y(o))? -154*o Let u(j) = j. Let m(p) = p**2 + 21 + 23 + 17 - 64. What is m(u(r))? r**2 - 3 Let x(i) be the first derivative of -7*i**4/8 + 14*i**2 - 9. Let a(r) be the second derivative of x(r). Let z(p) = p. Give z(a(c)). -21*c Let y(a) = 2*a**2 - 15*a. Let t(v) be the first derivative of -4*v**3/3 + 184. What is t(y(f))? -16*f**4 + 240*f**3 - 900*f**2 Let g(f) = 353201*f. Let k(r) = 10*r**2. Calculate g(k(d)). 3532010*d**2 Suppose -f = 4*f - 10. Let b(z) = 7*z**f - 17*z**2 + 9*z**2. Let g(l) = -3*l - 3*l**2 + 3*l. Calculate b(g(y)). -9*y**4 Suppose -2*d = 5*r - 18, -d + 8 = d. Let j(h) = 6*h**2 - h**2 - 14*h**r. Let z(m) = 2*m**2. Calculate j(z(i)). -36*i**4 Let n(i) = -i. Let g = -11 - -24. Let h(a) = -28*a + g*a + 14*a. Calculate h(n(k)). k Let b(z) = 5*z**2 + 10*z**2 + 5*z**2 - 7*z**2. Let n(y) = -17*y**2 + 7*y - 7. Let d(q) = -12*q**2 + 5*q - 5. Let h(i) = -7*d(i) + 5*n(i). Determine h(b(k)). -169*k**4 Let n(v) = -39*v + 10*v + 19*v + 12*v. Let r(h) = 499*h**2. Determine n(r(c)). 998*c**2 Suppose -2*b + 2*d + 24 = 6*d, d = 0. Let a(p) = -284 + 284 - b*p. Let s(n) = -n**2. Calculate a(s(i)). 12*i**2 Let q(w) = 8*w**2. Let z(c) = 12*c - 13*c - 2*c - 10*c. What is z(q(o))? -104*o**2 Let t(g) = 3*g**2. Let l(c) = -1288*c**2. Let x(n) = 68*n**2. Let i(m) = -4*l(m) - 77*x(m). Determine i(t(d)). -756*d**4 Let j(z) be the third derivative of -z**4/3 + 2*z**2 + 5. Let q(o) = 13*o. Give q(j(h)). -104*h Suppose -g + 16 = -3*g. Let p(a) = -a**2 - 7*a + 12. Let u be p(g). Let v(h) = -u*h + 6*h + 2*h. Let t(w) = -2*w. Give v(t(f)). -8*f Let n(f) = -30*f**2. Let l(r) be the first derivative of -29*r**3/3 + 667. What is n(l(p))? -25230*p**4 Let p(u) be the second derivative of 5*u**3 - 3*u - 121. Let l(n) = -3*n + 0*n + 2*n. What is l(p(f))? -30*f Let i(m) = 3*m. Let r(s) = -22*s**2 + 9*s - 20. Let f(a) = a**2 - a + 5. Let n(h) = 4*f(h) + r(h). Give i(n(l)). -54*l**2 + 15*l Let x(h
{ "pile_set_name": "DM Mathematics" }
is -3*m(l) - 2*t(l)? -3*l**2 + l + 626 Let d(i) = -65*i + 13. Let s(b) = -b. What is -d(c) + 5*s(c)? 60*c - 13 Let m(s) = s + 7. Let k(u) = -1. Let r(p) = -p - 6. Let v be r(-5). Let c(l) = -l**3 - 10*l**2 + 568*l - 327. Let j be c(19). Give j*k(z) + v*m(z). -z - 3 Let w(r) = r**3 - r. Let z(j) = j**2 - 10*j + 7. Let s be z(10). Let g(v) = s - 9 - 1 + 4 + 3*v. Give g(c) + 3*w(c). 3*c**3 + 1 Let m(x) = 38*x**3 - 22*x**2 + x + 8. Let v(o) = 40*o**3 - 30*o**2 + 2*o + 9. Give -4*m(f) + 3*v(f). -32*f**3 - 2*f**2 + 2*f - 5 Suppose 4*o = 6*o - 2*u - 8, 17 = 4*o - 5*u. Let l(w) = -4*w + 5. Let c = 533 - 528. Let j(s) = 2*s - 3. Determine c*j(q) + o*l(q). -2*q Let s(d) = 1651*d**3 + 3*d**2 + 4*d. Let c(f) = 3301*f**3 + 6*f**2 + 9*f. Calculate 4*c(v) - 9*s(v). -1655*v**3 - 3*v**2 Let j(y) = 5*y + 2. Let v(u) = -1. Let g(n) = -j(n) - 3*v(n). Let h(o) = 12*o - 2. Let c(s) = -7*g(s) - 3*h(s). Let x(k) = 6*k + 7. Give -4*c(b) - x(b). -2*b - 3 Suppose -5*c = -2*t - 4*c + 40, -5*t + 101 = -3*c. Let y(p) = 21 + t + 5*p + 23 - 61. Let n(g) = -9*g - 4. Calculate 3*n(v) + 5*y(v). -2*v - 2 Let x(i) = 3*i**2 + i - 3. Let q(v) = 3*v + 13. Let w(s) = 17*s + 72. Let b(g) = -11*q(g) + 2*w(g). Determine b(c) - x(c). -3*c**2 + 4 Suppose 17*u - 168 = -7*u. Suppose l = -d + 1, 2*l + 3*l + u = -d. Let z(a) = 3*a**3 - 2*a**2 + a. Let c(v) = 11*v**3 - 9*v**2 + 4*v. Calculate l*c(f) + 9*z(f). 5*f**3 + f Let a(i) = 1. Let c = -284 + 269. Let z be (c/10)/((-3)/2). Let b(d) = -d - 1. What is z*b(k) + 4*a(k)? -k + 3 Let f(y) = 770*y**3 - 4*y**2 - 4*y + 8. Let z(b) = 2309*b**3 - 10*b**2 - 11*b + 22. Give -11*f(v) + 4*z(v). 766*v**3 + 4*v**2 Let k(m) = -4*m**2 + 3*m + 5. Let o(g) = g**2 - g - 2. What is -12*k(r) - 38*o(r)? 10*r**2 + 2*r + 16 Let u(a) = -483*a + 62. Let m(s) = -966*s + 159. Calculate -2*m(v) + 5*u(v). -483*v - 8 Let x(c) = 153*c + 28. Let i(r) = -98*r - 1. Calculate -2*i(y) - x(y). 43*y - 26 Let a(d) = -4*d - 9. Let l(p) = 56*p - 79. Let z(q) = 19*q - 16. Let f(x) = 2*l(x) - 7*z(x). Calculate -11*a(t) + 2*f(t). 2*t + 7 Let t(v) = -29*v - 6. Let q(s) = s + 21. Let p(r) = -63*r - 742. Let n(h) = p(h) + 35*q(h). Determine 4*n(f) - 5*t(f). 33*f + 2 Let o(k) = 5150*k - 232. Let r(y) = 736*y - 34. Give 5*o(w) - 34*r(w). 726*w - 4 Suppose -4*i = -7*i - 3. Let a be (i/(-2))/((-11)/(-66)). Let q(x) = -3*x. Let n(p) be the first derivative of -p**3/3 - p**2/2 + 40. What is a*n(l) - q(l)? -3*l**2 Let d(u) = -355*u**2 - 3*u + 16. Let f(o) = 711*o**2 + 5*o - 27. Determine -5*d(l) - 3*f(l). -358*l**2 + 1 Let g(m) = -136*m - 14. Let a(o) = 11*o + 2. Give -30*a(p) - 3*g(p). 78*p - 18 Let k(f) = f + 1. Let x = 89 - 83. Let t(z) = -31*z + 4. Calculate x*k(u) - t(u). 37*u + 2 Let h(l) = 180*l + 69. Let w(k) = 90*k + 37. Calculate 6*h(q) - 11*w(q). 90*q + 7 Let j(u) = -2*u**3 + 7*u**2 + 7*u - 7. Let c(a) = 1943*a**2 + 54 - 1944*a**2 + a**3 - a - 53. Calculate -21*c(q) - 3*j(q). -15*q**3 Let u(d) = -1. Let j(k) = -7*k - 37. Let i(f) = -21*f - 112. Let x(y) = -2*i(y) + 7*j(y). What is -105*u(w) + 3*x(w)? -21*w Let t be -1 - 1/(2/(-10)). Let s(w) = -w - 5 - w - t*w + 5*w. Let i(y) = y + 5. Determine -3*i(o) - 4*s(o). o + 5 Let j(u) = -116960*u**2 + 64*u - 192. Let y(r) = 17994*r**2 - 10*r + 30. What is 5*j(a) + 32*y(a)? -8992*a**2 Suppose -s - 50 = -3*q - 6*s, s + 22 = 29. Suppose 9 = 5*k - 2*k. Let p be (1 + 1)/(2 - k). Let i(r) = r - 2. Let d(b) = 3*b - 4. Determine p*d(x) + q*i(x). -x - 2 Let h(r) = -151685*r**2 - 520*r - 40. Let g(m) = 11668*m**2 + 39*m + 3. Give 40*g(t) + 3*h(t). 11665*t**2 Let f(b) = 1843*b - 8. Let u(a) = -2457*a + 11. What is 11*f(n) + 8*u(n)? 617*n Let x(o) = -144*o**2 + 28. Let m(j) = -21*j**2 + 2. Give -14*m(w) + 2*x(w). 6*w**2 + 28 Let i(c) = -3*c**3. Suppose 3*t = k - 0*t - 12, -5*k = t - 12. Suppose -4 = k*n + 5*u + 11, 2*n + u = -10. Let m(d) = -3*d**3. Determine n*m(g) + 6*i(g). -3*g**3 Let m be (-54)/(-12) + (-1)/2. Let y(d) = 22*d + 78. Let g(h) = 7*h + 28. Let o(z) = 11*g(z) - 4*y(z). Let w(n) = -11*n - 3. Determine m*w(x) - 3*o(x). -11*x Let h(i) = i**3 + 2*i + 2. Let a(w) = -31 + 49 - 6 - 11. What is -2*a(s) + h(s)? s**3 + 2*s Let m = 15082 - 15087. Let f(n) = -56*n + 3. Let t(k) = -28*k + 2. Determine m*t(h) + 3*f(h). -28*h - 1 Let h(p) = -186626*p**3 - 4488*p**2 - 1496*p - 1496. Let j(q) = 374*q**3 + 9*q**2 + 3*q + 3. Determine 3*h(n) + 1496*j(n). -374*n**3 Let a(u) = -8*u**3 + 2*u**2 - 9*u - 122. Let q(o) = 2*o**3 - o**2 + 5. What is -a(l) - 3*q(l)? 2*l**3 + l**2 + 9*l + 107 Suppose -3*p = -4*t + t + 21, -5*p - 41 = -8*t. Let i(m) = -4*m**2 - m + 5. Let q(f) = f**2 - 2. Determine t*i(w) + 7*q(w). -w**2 - 2*w - 4 Let l(t) = -126*t**2 + 432*t + 720. Let b(m) = m**2 - 3*m - 5. Calculate -432*b(n) - 3*l(n). -54*n**2 Let i(a) = -6*a**2 + 5*a + 5. Let o = -16 - -25. Let w be -3 - 6/o*3. Let r = 71 - 70. Let j(p) = -p**2 + p + 1. Determine r*i(h) + w*j(h). -h**2 Let l(o) = -30*o - 3927. Let b(z) = 26*z + 3927. What is -7*b(k) - 6*l(k)? -2*k - 3927 Suppose -4*a + 2*a + 8 = -3*j, -6*a + 3*j = 0. Let u(y) = -9*y**2 + 3*y + 1. Let p(i) = -i**2. What is a*p(t) + u(t)? -7*t**2 + 3*t + 1 Let d(r) = 6*r**2 - 18*r - 2. Let j(b) = 41*b**2 + 8*b + 22. Let t(i) = -15*i**2 - 3*i - 8. Let f(p) = 4*j(p) + 11*t(p). Calculate -d(o) - 5*f(o). -o**2 + 23*o + 2 Let b(c) = 4*c**2 - 42*c + 12. Let l(n) = 5*n**2 - 57*n + 13. What is 4*b(a) - 3*l(a)? a**2 + 3*a + 9 Let a(k) = 3*k + 383. Let o(u) = -u + 155. What is a(b) - 2*o(b)? 5*b + 73 Let d(a) = -6*a**2 - 8*a + 47. Let f(u) = -2*u**2 - 3*u + 16. Let g be 8/(-1) - (-1 + 4 - 8). What is g*d(l) + 8*f(l)? 2*l**2 - 13 Let b(d) = 12*d**3 + 7*d**2 + 310*d + 37. Let n(r) = 7*r**3 + 4*r**2 + 156*r + 21. Give 4*b(l) - 7*n(l). -l**3 + 148*l + 1 Let k(n) = 13*n**3 - 7*n**2 + 7*n - 6. Let y(t) = 7*t**3 - 3*t**2 + 3*t - 3. Let f be (-15)/9*42/10. What is f*y(c) + 3*k(c)? -10*c**3 + 3 Let j(g) = -511*g**3 - 2*g**2 + 20*g - 10. Let a(z) = 765*z**3 + 3*z**2 - 29*z + 14. Determine 5*a(q) + 7*j(q). 248*q**3 + q**2 - 5*q Let f(y) = 3*y**3 - y**2 - y + 1. Let k(p) = -456*p**3 + 2*p**2 + 2*p - 1. What is -2*f(i) - k(i)? 450*i**3 - 1 Let c(d) = 3*d**3 - 4*d**2 + 779*d + 13. Let x(p) = -p**3 + 2*p**2 + p - 5. Give -c(o) - 2*x(o). -o**3 - 781*o - 3 Let k(u) = 5*u - 1. Let w(q) = -2*q. Let s(b) = -k(b) - 2*w(b). Suppose 8*c - 6 = 2*c. Let j(n) = -n + 4. Determine c*j(h) - 4*s(h). 3*h Let l(o) = 1469*o - 2. Let s(t) = -7357*t + 10. Give -11*l(a) - 2*s(a). -1445*a + 2 Let v(i) = 23*i + 15. Let c(u) = 11*u + 7. Let f(a) = -5*c(a) + 2*v(a). Let n(m) be the second derivative of -5*m**3/6 - m**2 + 847*m. Give 2*f(p) - 5*n(p). 7*p Let u(d) = -2791*d - 4. Let q(b) = -5579*b - 7. What is -6*q(i) + 11*u(i)? 2773*i - 2 Suppose 51 = -15*d - 2*d. Let j(l) = -4*l + 6. Let s(k) = 5 - 3*k + 5*k - 5*k. Give d*s(o) + 2*j(o). o - 3 Suppose 11*m + 35 = 4*m + 14*m. Let s(z) = -129*z**3 - 5*z - 5. Let n(b) = 1612*b**3 + 62*b + 62. Determine m*n(w) + 62*s(w). 62*w**3 Let i(x) = -x**3 - 3*x**2 - x - 1. Let d(s) = 2*s**2 + s + 1. Suppose 0 = 56*v + 23*v + 237. Determine v*d(k) - 2*i(k). 2*k**3 - k - 1 Let s(l) = -157*l - 136. Let q(r) = -173*r - 139. Give -12*q(y) + 13*s(y). 35*y - 100 Let n(q) = -163*q - 2. Let o(s) = 196*s + 1. Let i(y) = -6*n(y) - 5*o(y). Let t(u) = -2*u + 6. Give -4*i(d) + 5*t(d). -2*d + 2 Let d(s) = -2*s**3 + 7*s**2 - 2. Let g(z) = 6*z**2 - 13*z + 31. Let q be g(3). Suppose 0 = 9*k + q + 8. Let l(w) = -2*w**3 + 6*w**2 - 2. Give k*d(t) + 7*l(t). -2*t**3 - 2 Let u(g) = -72*g + 40. Let p(i) = -82*i + 39. Calculate 5*p(y) - 6*u(y). 22*y - 45 Let z = -146 - -151. Suppose -3*m - 7 = f, -z*m - 22*f + 18*f = 0. Let c(d) = -5*d - 5. Let l(a) = -a**2 + 6*a + 6. Determine m*c(o) - 3*l(o). 3*o**2 + 2*o + 2 Let h(g) = g**2 + 6*g + 1. Let s(j) = 8*j**2 - 1027*j + 8. What is -10*h(t) + s(t)? -2*t**2 - 1087*t - 2 Let q(g) = -9*g**2 - 9*g + 2. Let x(j) = -32*j**2 - 32*j + 22. Let b(z) = -11*z**2 - 11*z + 8. Let d(l) = -8*b(l) + 3*x(l). Determine -6*d(t) + 5*q(t). 3*t**2 + 3*t - 2 Let c(y) = -1. Let f(n) = -n**3 + 6*n**2 - 5*n - 2. Let h be f(4). Let q(j) = -238 - h*j + 240 - j. Calculate 2*c(d) + q(d). -11*d Let o(x) = 10*x - 6. Let p(c) = 20*c - 15. Determine -5*o(a) + 3*p(a). 10*a - 15 Let i(c) = 3*c + c + 2*c - 4*c**2. Let u(f) = -f**2 + f. Let x(o) = 2*o**2 - 1
{ "pile_set_name": "DM Mathematics" }
prob of picking 3 k when three letters picked without replacement from {p: 1, b: 1, k: 3}? 1/10 Three letters picked without replacement from aannn. Give prob of picking 2 a and 1 n. 3/10 What is prob of picking 1 f and 2 c when three letters picked without replacement from {c: 2, e: 3, f: 4, g: 2}? 4/165 Four letters picked without replacement from llksklkrrszslrxkkl. Give prob of picking 1 k, 1 z, and 2 l. 5/306 Three letters picked without replacement from gnqmn. What is prob of picking 2 q and 1 n? 0 Two letters picked without replacement from {q: 7, o: 3, z: 1, x: 3}. What is prob of picking 1 q and 1 z? 1/13 Calculate prob of picking 3 g and 1 e when four letters picked without replacement from {g: 6, e: 4, a: 6, n: 3}. 20/969 Three letters picked without replacement from gdjjggffjjjjjjdgf. Give prob of picking 1 f and 2 g. 9/340 What is prob of picking 1 r and 1 o when two letters picked without replacement from rrrrorrr? 1/4 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {b: 2, t: 5, q: 3, h: 6, z: 1, u: 3}. 3/38 Calculate prob of picking 4 t when four letters picked without replacement from {i: 4, r: 3, t: 6}. 3/143 Four letters picked without replacement from nrivirnvnmvvninnnrv. What is prob of picking 1 v, 1 m, and 2 r? 5/1292 Two letters picked without replacement from wegfwebddegw. Give prob of picking 1 g and 1 e. 1/11 Calculate prob of picking 1 q and 2 z when three letters picked without replacement from zqqgggqzmqzzggzgggm. 40/969 Two letters picked without replacement from rzprrtrkzrrrvpr. What is prob of picking 1 v and 1 r? 8/105 What is prob of picking 1 r and 1 j when two letters picked without replacement from {w: 1, v: 2, r: 2, j: 1}? 2/15 Three letters picked without replacement from rzrzooizzzzz. Give prob of picking 2 o and 1 z. 7/220 Four letters picked without replacement from {p: 1, w: 4, z: 5, u: 1, f: 4}. What is prob of picking 1 u and 3 f? 4/1365 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kbffffffffkffffff. 1/68 Calculate prob of picking 1 z and 1 a when two letters picked without replacement from aaaazazz. 15/28 Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, p: 2}. 1/6 What is prob of picking 2 r and 2 x when four letters picked without replacement from rxxxrxxxxx? 2/15 Two letters picked without replacement from {h: 1, r: 1, n: 1, k: 2, g: 12}. Give prob of picking 1 h and 1 k. 1/68 Four letters picked without replacement from {q: 2, n: 5}. Give prob of picking 2 q and 2 n. 2/7 What is prob of picking 2 e and 2 p when four letters picked without replacement from {p: 3, e: 7}? 3/10 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {y: 2, h: 2, d: 1, m: 1, i: 4, w: 2}. 2/33 Calculate prob of picking 2 u when two letters picked without replacement from buuuuuuubuuuub. 55/91 Four letters picked without replacement from {v: 3, l: 7, y: 9}. What is prob of picking 3 l and 1 y? 105/1292 Two letters picked without replacement from {j: 3, i: 1, x: 1, s: 4, h: 2}. What is prob of picking 1 s and 1 x? 4/55 Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvv. 1 What is prob of picking 3 c when three letters picked without replacement from cciccccccccccccccc? 5/6 Two letters picked without replacement from ccnncccnnnnccncc. Give prob of picking 1 c and 1 n. 21/40 Two letters picked without replacement from jujmt. Give prob of picking 2 j. 1/10 What is prob of picking 1 n and 1 t when two letters picked without replacement from inytyninsip? 3/55 What is prob of picking 1 p, 1 q, and 1 z when three letters picked without replacement from {q: 2, z: 1, p: 2, r: 4, j: 1}? 1/30 What is prob of picking 1 z, 1 u, 1 o, and 1 v when four letters picked without replacement from hvohvhuvuhvzhvf? 2/273 Three letters picked without replacement from rdf. What is prob of picking 3 f? 0 Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 2, w: 2, u: 7}. 2/165 Four letters picked without replacement from momeypolompoeyl. Give prob of picking 1 p, 2 l, and 1 o. 8/1365 What is prob of picking 1 d and 1 m when two letters picked without replacement from hmd? 1/3 Three letters picked without replacement from {k: 1, n: 3, o: 11, b: 3, c: 1}. Give prob of picking 1 k, 1 c, and 1 n. 1/323 Three letters picked without replacement from {g: 3, y: 1}. Give prob of picking 3 g. 1/4 Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 2, q: 4}. 8/15 Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {d: 8, y: 2}. 16/45 Four letters picked without replacement from {h: 13, o: 3}. Give prob of picking 1 h and 3 o. 1/140 Two letters picked without replacement from {f: 3, u: 2, g: 7}. Give prob of picking 2 f. 1/22 What is prob of picking 2 y when two letters picked without replacement from yuyyeueyeey? 2/11 What is prob of picking 1 e and 1 b when two letters picked without replacement from {b: 8, e: 3}? 24/55 What is prob of picking 2 w when two letters picked without replacement from wowwoowwowoo? 5/22 Four letters picked without replacement from jjyyyjysysjyzzjys. What is prob of picking 1 y, 1 z, and 2 j? 1/17 Three letters picked without replacement from uuuu. What is prob of picking 3 u? 1 Four letters picked without replacement from rrhhh. What is prob of picking 2 r and 2 h? 3/5 Calculate prob of picking 2 b and 2 z when four letters picked without replacement from zzbbbzb. 18/35 Two letters picked without replacement from {m: 4, j: 2, k: 7}. Give prob of picking 2 m. 1/13 Four letters picked without replacement from {s: 9, k: 2}. What is prob of picking 2 s and 2 k? 6/55 Calculate prob of picking 2 y when two letters picked without replacement from {e: 3, y: 12}. 22/35 Calculate prob of picking 1 n, 1 o, 1 j, and 1 y when four letters picked without replacement from {j: 1, y: 4, n: 2, o: 1, k: 1}. 4/63 What is prob of picking 2 t when two letters picked without replacement from ttpptpptztoot? 5/26 Four letters picked without replacement from {h: 3, u: 1, w: 3, j: 7, y: 4}. Give prob of picking 1 y, 1 u, and 2 h. 1/255 Two letters picked without replacement from {s: 3, d: 3, t: 1, c: 5, n: 2, f: 1}. What is prob of picking 1 c and 1 s? 1/7 Calculate prob of picking 1 u, 1 y, and 1 b when three letters picked without replacement from ydbnuulb. 1/14 Calculate prob of picking 2 c and 1 y when three letters picked without replacement from {y: 2, c: 6}. 15/28 Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {o: 1, z: 1, i: 1, x: 1, m: 1}. 1/10 Calculate prob of picking 3 s when three letters picked without replacement from sssss. 1 Three letters picked without replacement from xcncxxcxnxccqccqzq. Give prob of picking 2 x and 1 n. 5/204 What is prob of picking 2 d and 2 h when four letters picked without replacement from {a: 3, h: 4, d: 4}? 6/55 What is prob of picking 1 x and 2 k when three letters picked without replacement from {k: 4, x: 3}? 18/35 What is prob of picking 1 g and 2 d when three letters picked without replacement from dygyd? 1/10 Calculate prob of picking 3 d when three letters picked without replacement from dddddddddd. 1 What is prob of picking 1 y and 3 v when four letters picked without replacement from {v: 3, y: 3}? 1/5 Calculate prob of picking 1 j, 1 n, 1 s, and 1 g when four letters picked without replacement from {s: 1, j: 2, n: 1, g: 2}. 4/15 Three letters picked without replacement from sldlwllwmlsmslbmll. What is prob of picking 1 d, 1 b, and 1 w? 1/408 Calculate prob of picking 1 z, 1 g, and 1 x when three letters picked without replacement from xxzxgyxxy. 5/84 Four letters picked without replacement from {z: 5, t: 3}. Give prob of picking 4 z. 1/14 What is prob of picking 1 s, 1 a, and 1 e when three letters picked without replacement from {a: 4, w: 2, e: 7, t: 4, s: 1}? 7/204 Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {u: 4, t: 2, n: 2, v: 4}. 6/55 Calculate prob of picking 1 s, 1 i, and 2 v when four letters picked without
{ "pile_set_name": "DM Mathematics" }
Round -2571.3799 to the nearest integer. -2571 Round -0.2738365 to 4 dps. -0.2738 Round -5.041793 to two dps. -5.04 Round -0.014899055 to 2 decimal places. -0.01 Round -0.09574457 to four decimal places. -0.0957 What is 23.12615 rounded to one dp? 23.1 Round -6683798000 to the nearest one million. -6684000000 What is -0.13484824 rounded to two dps? -0.13 What is 145172.81 rounded to the nearest 1000? 145000 Round 0.4342125 to 4 dps. 0.4342 What is 0.1921995 rounded to 3 decimal places? 0.192 Round -0.00000612552 to 6 dps. -0.000006 Round 15998520 to the nearest 100000. 16000000 Round 0.0001628313 to six dps. 0.000163 What is 1.92442 rounded to one dp? 1.9 Round -0.0001117577 to seven dps. -0.0001118 Round -19.213486 to 2 dps. -19.21 What is -0.00676352 rounded to four decimal places? -0.0068 What is 0.0000043369044 rounded to seven decimal places? 0.0000043 What is -0.0234962 rounded to three dps? -0.023 What is 197829.4 rounded to the nearest 100? 197800 What is -7.86604 rounded to 1 dp? -7.9 What is 2722.78 rounded to the nearest 100? 2700 What is 0.0417419 rounded to three dps? 0.042 What is -11740.8537 rounded to the nearest 10? -11740 Round 26219.88 to the nearest 10000. 30000 Round 0.0007906812 to five decimal places. 0.00079 What is 164030500 rounded to the nearest 1000000? 164000000 What is -355659210 rounded to the nearest 100000? -355700000 Round -871.011 to the nearest ten. -870 Round -0.0004359142 to six dps. -0.000436 Round 41666.36 to the nearest 100. 41700 Round 0.0000591903 to 7 dps. 0.0000592 What is 822066800 rounded to the nearest one million? 822000000 What is -124.515 rounded to the nearest one hundred? -100 What is -129268.3 rounded to the nearest 10000? -130000 What is -0.0000588022 rounded to 5 dps? -0.00006 What is 3280755 rounded to the nearest 1000000? 3000000 What is 36.4546 rounded to the nearest ten? 40 What is -502.43 rounded to the nearest 100? -500 Round -84485 to the nearest 100. -84500 What is -8.25097 rounded to two dps? -8.25 Round -1.4524409 to 1 decimal place. -1.5 Round 65645160 to the nearest one hundred thousand. 65600000 What is -0.0001285337 rounded to seven dps? -0.0001285 What is -0.0000000065303 rounded to seven dps? 0 Round 251.28779 to the nearest integer. 251 What is -63325.7 rounded to the nearest 100? -63300 What is -845.1896 rounded to 1 decimal place? -845.2 Round -26066.89 to the nearest 10. -26070 Round 27525.9 to the nearest one hundred. 27500 What is 7045723 rounded to the nearest 100000? 7000000 What is 0.005861876 rounded to 4 dps? 0.0059 Round -19539160000 to the nearest one million. -19539000000 What is -0.0297349 rounded to 4 decimal places? -0.0297 What is 0.0000518242 rounded to seven dps? 0.0000518 What is 0.00001078872 rounded to 6 decimal places? 0.000011 Round -33.35549 to the nearest integer. -33 What is -61.572 rounded to the nearest integer? -62 Round 1.4887 to the nearest integer. 1 What is -0.0980379 rounded to two dps? -0.1 What is -0.03007275 rounded to 4 decimal places? -0.0301 What is 0.024380118 rounded to 4 dps? 0.0244 Round 1.181796 to 3 dps. 1.182 What is 29859.69 rounded to the nearest 1000? 30000 What is 0.00000273217 rounded to seven dps? 0.0000027 What is -0.000005847124 rounded to 7 dps? -0.0000058 What is 11115.881 rounded to the nearest one hundred? 11100 Round 671690000 to the nearest 1000000. 672000000 Round -25533530 to the nearest 100000. -25500000 Round 2744602000 to the nearest one million. 2745000000 Round -48578.8 to the nearest 100. -48600 Round 18364.2 to the nearest 100. 18400 Round 0.0588228 to five dps. 0.05882 What is 30.3129 rounded to zero decimal places? 30 What is 264972.1 rounded to the nearest 10000? 260000 Round -0.0001322371 to six decimal places. -0.000132 What is -0.000003417568 rounded to six decimal places? -0.000003 Round 1674840 to the nearest one hundred thousand. 1700000 What is 48931.27 rounded to the nearest 1000? 49000 Round 17558556 to the nearest 10000. 17560000 What is -184.498 rounded to 1 decimal place? -184.5 Round -0.004579 to 3 decimal places. -0.005 What is -16970.119 rounded to the nearest ten? -16970 Round -35.7074 to 1 decimal place. -35.7 What is -0.00205438 rounded to five decimal places? -0.00205 Round -36.263194 to 2 decimal places. -36.26 Round -21753.7 to the nearest 1000. -22000 What is 0.082658 rounded to two dps? 0.08 What is 0.005411301 rounded to four dps? 0.0054 What is 133.6361 rounded to the nearest ten? 130 What is -0.0016157945 rounded to 5 decimal places? -0.00162 Round -0.0000055517441 to 7 dps. -0.0000056 What is -18644.5 rounded to the nearest one thousand? -19000 Round -0.00000237197 to 7 decimal places. -0.0000024 What is 1957.46 rounded to the nearest 100? 2000 Round 752.99 to the nearest ten. 750 What is -1584.954 rounded to the nearest ten? -1580 Round -0.0000641366 to five decimal places. -0.00006 What is -11683.78 rounded to the nearest 1000? -12000 Round 0.00000402098 to six dps. 0.000004 What is -0.00000059766789 rounded to seven decimal places? -0.0000006 Round -757796.3 to the nearest one thousand. -758000 What is -0.0000027189 rounded to six decimal places? -0.000003 What is 235726.5 rounded to the nearest ten thousand? 240000 What is 29312585 rounded to the nearest 10000? 29310000 What is -8.9492422 rounded to one dp? -8.9 What is -0.00000863228 rounded to seven dps? -0.0000086 Round 2.8830425 to 3 dps. 2.883 What is 4403.1 rounded to the nearest one hundred? 4400 What is 0.05507605 rounded to 3 decimal places? 0.055 Round -813874000 to the nearest 1000000. -814000000 Round -0.0254648 to 3 dps. -0.025 What is 0.0004030767 rounded to 4 decimal places? 0.0004 Round -238.94314 to the nearest 100. -200 What is -81.37597 rounded to one dp? -81.4 Round -0.0002251682 to five decimal places. -0.00023 What is 719160000 rounded to the nearest one million? 719000000 What is -26946.296 rounded to the nearest 100? -26900 Round 3.10031 to the nearest integer. 3 Round 755.669 to 0 decimal places. 756 What is -340636 rounded to the nearest ten thousand? -340000 What is -119178.8 rounded to the nearest one hundred? -119200 What is 0.01679805 rounded to three dps? 0.017 What is -0.0000001877089 rounded to 7 decimal places? -0.0000002 What is 0.00004356642 rounded to 5 dps? 0.00004 What is 24611.7 rounded to the nearest 100? 24600 What is -5810.61 rounded to the nearest one thousand? -6000 Round -2201.48 to the nearest one hundred. -2200 Round 1.892751 to three dps. 1.893 What is -43752.4 rounded to the nearest 100? -43800 What is -0.00089575 rounded to 5 decimal places? -0.0009 What is -4267490 rounded to the nearest one hundred thousand? -4300000 Round -711909000 to the nearest 1000000. -712000000 What is -22.14307 rounded to the nearest integer? -22 Round -0.00025607 to 4 decimal places. -0.0003 Round 0.000000224848 to 7 decimal places. 0.0000002 What is 2.221027 rounded to 0 dps? 2 What is -0.2935509 rounded to 4 dps? -0.2936 Round -17670165000 to the nearest one million. -17670000000 Round -49846 to the nearest one thousand. -50000 What is -112295.5 rounded to the nearest one thousand? -112000 Round 6.865882 to 0 dps. 7 What is 0.0000006533013 rounded to seven dps? 0.0000007 Round 0.00004301155 to 7 decimal places. 0.000043 Round -0.1619971 to 4 dps. -0.162 What is -0.115743 rounded to 3 dps? -0.116 Round 0.00001609857 to seven dps. 0.0000161 Round 0.00000731427 to 6 dps. 0.000007 Round 0.00000041338 to seven dps. 0.0000004 What is 0.00939059 rounded to 3 dps? 0.009 What is 122812600 rounded to the nearest one million? 123000000 What is -4209237 rounded to the nearest 1000000? -4000000 Round 0.2139715 to 3 decimal places. 0.214 What is 284354 rounded to the nearest one thousand? 284000 Round 0.00990985 to 4 decimal places. 0.0099 What is 13.414 rounded to 1 decimal place? 13.4 Round 399.368 to the nearest ten. 400 Round -0.0002326948 to six dps. -0.000233 Round -0.00090775 to 5 dps. -0.00091 Round 0.0011968506 to five dps. 0.0012 What is -80780.82 rounded to the nearest one thousand? -81000 Round -1271.497 to the nearest ten. -1270 What is -22.464271 rounded to zero decimal places? -22 Round -3596.867 to the nearest integer. -3597 What is 0.0202458 rounded to 2 decimal places? 0.02 What
{ "pile_set_name": "DM Mathematics" }
1060322, -1060330, -1060350, -1060388, -1060450, -1060542, -1060670, -1060840? -1061058 What comes next: -482, -514, -586, -710, -898? -1162 What is the next term in -66, -589, -2012, -4785, -9358? -16181 What is the next term in 306, 343, 378, 411, 442? 471 What is the next term in -483, -391, -223, 33, 389, 857? 1449 What is the next term in 6105, 6091, 6087, 6099, 6133? 6195 What is next in -5282, -10652, -16012, -21356, -26678, -31972, -37232? -42452 What is the next term in 2241, 2287, 2357, 2457, 2593, 2771, 2997? 3277 What is next in 5531, 20324, 44985, 79520, 123935, 178236, 242429, 316520? 400515 What comes next: -12, 32, 120, 270, 500, 828? 1272 What is the next term in -75379, -150813, -226247? -301681 What comes next: -215, -878, -1987, -3542, -5543? -7990 What is next in 1489, 2943, 4393, 5839? 7281 What is next in 11076, 11159, 11242, 11325, 11408, 11491? 11574 What comes next: 1035, 2111, 3189, 4275, 5375, 6495, 7641, 8819? 10035 What is next in 2665, 5438, 8229, 11038, 13865, 16710, 19573? 22454 What is the next term in -101, -164, -199, -194, -137, -16? 181 What comes next: -426, -360, -254, -108, 78? 304 What comes next: -240, -249, -290, -381, -540, -785, -1134, -1605? -2216 What comes next: -95, -195, -361, -593, -891, -1255? -1685 What comes next: -82, -296, -624, -1042, -1526, -2052, -2596, -3134? -3642 What is the next term in 553, 1164, 1753, 2308, 2817, 3268, 3649? 3948 What is next in -299, -1262, -2891, -5186, -8147? -11774 What is the next term in -28103, -28105, -28107, -28109, -28111? -28113 What is the next term in -381637, -381636, -381633, -381628, -381621, -381612? -381601 What is next in 34, 284, 748, 1426? 2318 What is next in 264, 419, 574? 729 What comes next: 581, 1136, 1691, 2246? 2801 What comes next: 5952, 11862, 17772, 23682, 29592, 35502? 41412 What is next in 1290, 1342, 1422, 1524, 1642, 1770, 1902? 2032 What comes next: 26495, 52988, 79481, 105974? 132467 What is next in 1177, 2231, 3287, 4345, 5405, 6467, 7531? 8597 What comes next: -121377, -121368, -121347, -121308, -121245? -121152 What is the next term in 7100495, 7100494, 7100493, 7100492? 7100491 What is the next term in -110, -176, -206, -206, -182, -140, -86? -26 What comes next: -122, -5, 112, 229, 346, 463? 580 What comes next: -7, -135, -351, -655, -1047, -1527, -2095? -2751 What is next in 4556, 4549, 4538, 4523? 4504 What is the next term in 415, 676, 941, 1210, 1483, 1760? 2041 What is the next term in 23064, 22676, 22022, 21096, 19892, 18404, 16626, 14552? 12176 What is the next term in -951070, -3804273, -8559620, -15217117, -23776770, -34238585, -46602568, -60868725? -77037062 What is next in -14407, -14390, -14373, -14356, -14339, -14322? -14305 What comes next: -4268, -4340, -4412, -4484, -4556, -4628? -4700 What is next in 181, 700, 2093, 4798, 9253, 15896, 25165? 37498 What is next in 581, 2240, 4995, 8840, 13769, 19776, 26855, 35000? 44205 What is the next term in -197, -1186, -3877, -9122, -17773, -30682? -48701 What is the next term in -515, -1621, -3307, -5567, -8395, -11785, -15731? -20227 What is next in 1078, 2009, 2938, 3865, 4790, 5713, 6634? 7553 What is the next term in 125506, 251022, 376544, 502072, 627606? 753146 What is the next term in 6615, 26433, 59457, 105681, 165099, 237705? 323493 What comes next: 5644, 11581, 17520, 23461, 29404? 35349 What is the next term in -80399, -160797, -241197, -321599, -402003, -482409? -562817 What is the next term in -235, -256, -277, -298? -319 What comes next: -1159, -4535, -10151, -18001, -28079, -40379, -54895? -71621 What comes next: 526, 1099, 1670, 2239, 2806? 3371 What comes next: -6422, -12833, -19242, -25649? -32054 What comes next: -7989, -8002, -8001, -7980, -7933, -7854? -7737 What comes next: -1357, -795, 149, 1481, 3207, 5333, 7865, 10809? 14171 What comes next: 1923, 1939, 1955, 1971? 1987 What comes next: -6347, -25253, -56769, -100901, -157655, -227037? -309053 What is the next term in 46800, 93597, 140394, 187191, 233988? 280785 What comes next: 6844, 13721, 20636, 27595, 34604? 41669 What is next in 42616, 85231, 127844, 170455, 213064? 255671 What is next in 6517, 13074, 19629, 26182? 32733 What is the next term in -910, -2197, -3484, -4771? -6058 What comes next: -101422, -101420, -101418? -101416 What is next in -313084, -626145, -939196, -1252231, -1565244, -1878229, -2191180, -2504091? -2816956 What is the next term in 488, 417, 298, 131, -84? -347 What comes next: -5889, -5902, -5915, -5928? -5941 What is next in -765775, -765775, -765787, -765817, -765871, -765955, -766075? -766237 What comes next: 72687, 290740, 654169, 1162980, 1817179, 2616772, 3561765, 4652164? 5887975 What is the next term in -2832, -11186, -25060, -44454, -69368? -99802 What is the next term in -9390, -18781, -28172, -37563? -46954 What is the next term in -5100, -20421, -45958, -81711? -127680 What comes next: -403034, -806061, -1209078, -1612079, -2015058? -2418009 What is next in -363, -1451, -3265, -5805? -9071 What is the next term in -12, -57, -150, -297, -504, -777, -1122, -1545? -2052 What is the next term in -42, -99, -172, -261, -366? -487 What is the next term in 10490, 20962, 31434, 41906, 52378, 62850? 73322 What is next in -3898, -15598, -35100, -62404, -97510, -140418? -191128 What is the next term in 346, 697, 1086, 1531, 2050, 2661? 3382 What is the next term in -571, -3678, -11871, -27694, -53691? -92406 What comes next: -8, 16, -24, -158, -416? -828 What is the next term in 2953, 5917, 8881, 11845, 14809, 17773? 20737 What is next in 34, -12, -144, -404, -834, -1476, -2372? -3564 What comes next: -55030, -55028, -55026, -55024, -55022, -55020? -55018 What comes next: -175, 502, 1179, 1856, 2533? 3210 What is the next term in 468, 939, 1418, 1911, 2424, 2963, 3534, 4143? 4796 What is next in -10445, -20897, -31351, -41807, -52265, -62725, -73187? -83651 What is next in 1632, 3257, 4904, 6585, 8312, 10097, 11952? 13889 What comes next: -11693, -11890, -12087? -12284 What is next in -17096, -17104, -17118, -17138, -17164, -17196, -17234? -17278 What is the next term in 1303, 2412, 3521? 4630 What comes next: -36, -211, -494, -879, -1360? -1931 What is the next term in 76338, 152684, 229030, 305376, 381722? 458068 What comes next: -7, -324, -839, -1534, -2391, -3392? -4519 What is the next term in 463758, 927543, 1391342, 1855161, 2319006? 2782883 What comes next: -46120, -92254, -138388, -184522, -230656, -276790? -322924 What is next in -7314, -7317, -7320, -7323, -7326, -7329? -7332 What is next in 11501, 23000, 34499, 45998, 57497? 68996 What is the next term in 27377, 54769, 82161, 109553, 136945? 164337 What comes next: 2451, 5007, 7551, 10077, 12579, 15051, 17487? 19881 What is the next term in 58, 199, 446, 799, 1258, 1823, 2494? 3271 What is next in 231225, 462434, 693643, 924852? 1156061 What comes next: 57473, 114949, 172431, 229919? 287413 What comes next: 16414, 16411, 16408, 16405, 16402, 16399? 16396 What comes next: -23, -117, -281, -515, -819? -1193 What comes next: -65941, -65926, -65911? -65896 What is the next term in 28427, 28422, 28415, 28406, 28395, 28382? 28367 What comes next: -8240, -8109, -7992, -7895, -7824? -7785 What comes next: -2487, -4534, -6581, -8628, -10675? -12722 What is next in -16155, -16158, -16159, -16158, -16155, -16150? -16143 What is the next term in 446, 2227, 5190, 9335, 14662? 21171 What comes next: 8016, 32054, 72114, 128196, 200300? 288426 What is the next term in -2484, -19636, -66198, -156876, -306376, -529404, -840666, -1254868? -1786716 What is the next term in -6, -13, 8, 75, 206, 419, 732? 1163 What comes next: -2798, -5628, -8458, -11288, -14118? -16948 What is next in 678515, 1357029, 2035543, 2714057, 3392571? 4071085 What comes next: 1525, 1576, 1649, 1744, 1861? 2000 What is the next term in 93, 131, 151, 153? 137 What is the next term in 578, 480, 384, 290, 198? 108 What comes next: 2571, 10251, 23059, 41001, 64083? 92311 What is the next term in -30507, -61016, -91525? -122034 What is the next term in -71, 93, 535, 1393, 2805, 4909, 7843, 11745? 16753 What is the next term in 61983, 247944, 557881, 991794? 1549683 What is the next term in -2693, -10809, -24351, -43325, -67737, -97593, -132899? -1
{ "pile_set_name": "DM Mathematics" }
p(v) = -3*v. Suppose r = -r - 12. Let k(j) = r*p(j) + 10*i(j). Let x(o) = 2*o. What is k(x(t))? -4*t Let t(n) be the second derivative of -5*n**3/3 + 13*n. Let w(h) = h. Give w(t(q)). -10*q Let f(q) = -3*q. Let d(m) be the first derivative of -5*m**2/2 + 35. Determine f(d(s)). 15*s Let u(q) = 6*q**2 - 14. Let z(h) = 2*h. What is z(u(j))? 12*j**2 - 28 Let a(q) = -3*q. Suppose -3*g - 2*g = 0. Let z(x) be the third derivative of -1/30*x**5 + 0*x**4 + 0*x + g + x**2 + 0*x**3. What is a(z(k))? 6*k**2 Let q(p) be the second derivative of -p**3/3 - p. Let l = -8 + 12. Let y(t) = 5*t. Let r(m) = m. Let a(d) = l*y(d) - 22*r(d). Give q(a(w)). 4*w Let z = 5 - 1. Let r(u) = z*u + u - 3*u. Let m(h) = h**2. What is m(r(x))? 4*x**2 Let h(i) = -i. Let c(y) = -7*y + 4*y + 2*y. Determine c(h(a)). a Let k(l) = 11*l**2 - 8. Let r(b) = 4*b**2 - 3. Let n(w) = -3*k(w) + 8*r(w). Let i(f) = 30*f. Calculate n(i(q)). -900*q**2 Let y = -7 - -13. Let w(r) = y*r - 2*r - r. Let m(h) = 2*h**2. Give m(w(d)). 18*d**2 Let u(j) = 2*j. Let x(m) be the third derivative of -m**5/30 - 4*m**3/3 + 3*m**2. What is u(x(s))? -4*s**2 - 16 Let x(y) = -4*y**2. Let a(s) = -s - 7. Let n be a(-11). Let g be (n/7)/((-4)/(-14)). Let q(p) = 1 - p - 1 + g*p. Calculate x(q(d)). -4*d**2 Let r(s) = 5*s + 35. Let i(k) = k**2. Determine r(i(g)). 5*g**2 + 35 Let f(j) = -j. Let t(k) = -21739*k + 1. What is t(f(q))? 21739*q + 1 Let s(n) = 3*n. Let k(u) = -11721*u. Calculate k(s(p)). -35163*p Let t(d) = 267*d**2. Let j(r) = r - 51. Determine j(t(i)). 267*i**2 - 51 Let k = 11 + -11. Let v(h) be the second derivative of 1/3*h**3 + 0 - 4*h + k*h**2. Let n(d) = d. What is v(n(c))? 2*c Let t(n) = -2*n + 13 - 13 + 3*n. Let u be 1*5/(5/2). Let r(l) = 4*l**2 - 3*l**2 - u*l**2. Determine t(r(p)). -p**2 Let n(r) = -2*r. Let t = 2 + 16. Suppose -q + 4*q - t = 0. Let m(s) = 6*s - 5*s**2 - q*s. Give m(n(b)). -20*b**2 Let y(i) = -1. Let m(u) = -u + 2. Let d(q) = -m(q) - 2*y(q). Let h be -1*(-2 - 3) - 3. Let n(w) = -3*w**2 - 2*w**h + 6*w**2. Determine d(n(k)). k**2 Let h(u) = 4*u + u - 6*u. Let w(o) be the first derivative of -9*o**2/2 + 159. Determine w(h(g)). 9*g Let g(f) = 396*f - 11. Let w(m) = m**2. Determine w(g(o)). 156816*o**2 - 8712*o + 121 Let k(o) = -11*o**2. Let v(d) = -5*d. Let l(m) = -6*m. Let f(j) = -4*l(j) + 5*v(j). What is k(f(u))? -11*u**2 Let p(y) be the third derivative of -y**5/10 - 7*y**2. Let s(l) = -l. What is s(p(r))? 6*r**2 Let c(o) = -o - 23. Let b(w) = 2*w**2. Give b(c(y)). 2*y**2 + 92*y + 1058 Let i(c) = 7 + 4*c + 9 - 2*c + 0. Let w(o) = 2*o**2. Calculate i(w(m)). 4*m**2 + 16 Let n(y) = 2*y - y - 4*y. Suppose u + 4 = 2*u. Let v(k) = -k - u*k + 3*k. Give n(v(h)). 6*h Let h(o) = -65*o. Let p(d) = 5*d**2. What is p(h(v))? 21125*v**2 Let l = -2 - -5. Let f(o) = o**2 - 3*o + 2. Let y be f(l). Let p(i) = i**2 + y*i - 2*i. Let g(m) = -7*m**2. What is g(p(q))? -7*q**4 Let m(y) = y. Let j be m(0). Let a(k) = j*k - 3*k + k. Let b(l) be the second derivative of l**3/3 + 22*l. Give a(b(t)). -4*t Let y(f) be the second derivative of -5*f**3/6 - 7*f. Let k(v) = -2*v. Give y(k(z)). 10*z Let b(g) be the second derivative of -1/6*g**4 + 0 + 0*g**2 + 4*g + 0*g**3. Let k(t) = -t. Determine b(k(p)). -2*p**2 Let p(d) = 2 + 0 - 2 - 2*d. Let r(n) = 2*n. Give r(p(m)). -4*m Let x(l) = 3*l. Let n(d) be the first derivative of -d**4/12 - d + 2. Let h(t) be the first derivative of n(t). Determine x(h(y)). -3*y**2 Let r(n) be the second derivative of -n**4/24 - 4*n**2 + 8*n. Let c(t) be the first derivative of r(t). Let v(s) = 5*s**2. Calculate c(v(y)). -5*y**2 Let x = 14 + -12. Let h(n) = -5*n**2 + 0*n**x + 3*n**2. Let b(u) = 4*u. What is b(h(y))? -8*y**2 Let q(r) = -5*r**2. Let p(i) be the third derivative of 0*i**3 + 1/30*i**5 + 0 + 0*i**4 + 4*i**2 + 0*i. What is p(q(s))? 50*s**4 Let l(z) = z**2. Let j(x) = -2792*x. Determine j(l(h)). -2792*h**2 Suppose 4 = -r + 3*r. Let b = -9 + 11. Let v(f) = 3*f**r - 2*f**2 + f**b. Let n(a) = -2*a**2. What is v(n(j))? 8*j**4 Let g(t) = -65*t**2 - 3. Let l(y) = -y**2. Calculate l(g(f)). -4225*f**4 - 390*f**2 - 9 Suppose 4*s = 7*s - 6. Let p(a) = 0*a**2 - a**2 + a**2 - s*a**2. Let b(y) = y. Give b(p(i)). -2*i**2 Let i(b) = 6*b**2 - 5*b + 5. Let t(z) = -7*z**2 + 6*z - 6. Let j(q) = -6*i(q) - 5*t(q). Let d(x) be the first derivative of 5*x**3/3 + 14. Calculate j(d(v)). -25*v**4 Let k(v) = -2*v. Suppose 5*y + 0*u - 5*u = 15, 3*y + 5*u = 17. Let l(g) be the second derivative of -1/12*g**y + 0*g**3 + 0*g**2 + 0 + g. Determine k(l(z)). 2*z**2 Let d(o) = -2*o**2. Let q(j) = 29*j - 2. Determine q(d(a)). -58*a**2 - 2 Let p(i) = -92*i. Let v(z) = 41*z**2. What is v(p(u))? 347024*u**2 Let c(r) = -2*r. Let s(m) = 7 - 12 + 5 - 20*m. What is s(c(z))? 40*z Let o(m) = 2*m. Let p(b) be the first derivative of 1/2*b**2 + 3 + 0*b. Calculate o(p(i)). 2*i Let h(r) = -583*r**2. Let d(x) = 4*x**2. Give h(d(v)). -9328*v**4 Let g(z) be the first derivative of z**4/12 + z - 2. Let c(r) be the first derivative of g(r). Let d(v) = -2*v**2 - 4 + 4. Give d(c(i)). -2*i**4 Let z(a) = 6*a. Let x(o) = -3*o + 4. Let m(u) = u - 1. Let s(d) = -4*m(d) - x(d). Determine z(s(k)). -6*k Let i(n) be the third derivative of n**5/30 - 2*n**3/3 + 2*n**2. Let w(b) be the first derivative of i(b). Let t(d) = -d**2. What is t(w(s))? -16*s**2 Let l(y) = 8*y. Let m(f) = -9*f**2 + 10. What is l(m(c))? -72*c**2 + 80 Let r(h) = h**2. Let z(m) = -m - 2. Let u(o) = 1. Let j(x) = -6*u(x) - 3*z(x). Calculate r(j(s)). 9*s**2 Let l(g) = 2*g. Let i be (-6)/4*4/(-3). Let t be 2/(0 + i/3). Let k(s) = s - t*s + 0*s. Determine l(k(f)). -4*f Let g(l) = 4*l. Let d(s) be the third derivative of -5*s**4/24 - s**2. Let x(p) = -2*p. Let r(c) = 2*d(c) - 6*x(c). Give g(r(u)). 8*u Let x be (-5)/(-2) + 3/(-6). Suppose -3 = o - 5*y, -3*o - o = -5*y - 3. Let b(v) = -2*v + o*v - x*v**2. Let a(d) = -3*d**2. Calculate a(b(t)). -12*t**4 Let x(k) = 11*k**2. Let i(l) be the third derivative of l**5/30 - 4*l**2. Give i(x(a)). 242*a**4 Let t(p) = 6*p**2. Let b(f) = 8*f - 7. Let o be (-5 - 2)*(1 - 2). Let c(i) = -7*i + 6. Let g(n) = o*c(n) + 6*b(n). Determine t(g(k)). 6*k**2 Let u(l) = -2*l**2. Let g(v) be the third derivative of v**4/24 + 4*v**2. Determine g(u(a)). -2*a**2 Let w(r) = -300*r**2 - 3*r - 1. Let y(m) = m. Give w(y(x)). -300*x**2 - 3*x - 1 Let m(l) be the second derivative of 0 - 1/6*l**3 - 4*l + 0*l**2. Let d(n) be the third derivative of -n**5/12 - 4*n**2. Give d(m(a)). -5*a**2 Let v(k) = -4*k**2. Let c(u) = 2232*u. Calculate v(c(s)). -19927296*s**2 Let u(x) = -x - 1. Let j(l) = -1. Let i(h) = j(h) - u(h). Let r(q) = q**2 - 4*q + 4. Let g(s) = s**2 - 3*s + 3. Let f(a) = -4*g(a) + 3*r(a). Calculate f(i(w)). -w**2 Suppose -b - 4 = -3*x, 8 = 3*b + 2*b - x. Let q(w) = 3 - b*w**2 - 7 + 4. Let a(i) = i. Calculate q(a(j)). -2*j**2 Let z(l) = -l. Let i(g) = -7*g**2 - 49*g - 49. Let u(b) be the first derivative of b**3/3 + 3*b**2 + 6*b + 1. Let q(c) = -6*i(c) - 49*u(c). Determine q(z(y)). -7*y**2 Let n(q) = 0 + 0 - 2*q**2. Let z(p) = -p + 10. Let x(w) = 0 - 3 + 5 - 4. Let g(i) = 10*x(i) + 2*z(i). Give n(g(j)). -8*j**2 Let o(z) = 4*z. Let u(k) = -2*k - 3. Let a(v) = 3*v + 5. Let b be 3 + 4*-1 + 3. Suppose 0 = b*c, -2*t - c = -2*c + 6. Let n(y) = t*a(y) - 5*u(y). Give o(n(m)). 4*m Let x(i) = -6*i - 16. Let r(f) = -f - 3. Let l(o) = 16*r(o) - 3*x(o). Let m(d) be the first derivative of -5*d**3/3 + 1. Give l(m(s)). -10*s**2 Let p(l) = -30*l**2 - 1. Let f(m) = -5*m**2. Calculate f(p(a)). -4500*a**4 - 300*a**2 - 5 Let l(z) = -z**2. Suppose -2*r - 4*a - 2 = 6, -11 = 2*r + 5*a. Let y(q) = -5 - r*q**2 + 5. What is l(y(s))? -4*s**4 Let i(u) be the first derivative of 3*u**2 + 6. Let y(d) = 3*d + 4. Let n(x) = -4*x - 5. Let w(b) = -4*n(b) - 5*y(b). Determine i(w(m)). 6*m Let h(m) be the third derivative of -m**7/5040 + m**5/30 + 2*m**2. Let k(l) be the third derivative of h(l). Let q(p) = -2*p. Determine k(q(v)). 2*v Let w(o) = -2 + 2 - 2*o**2 - 7*o**2. Let r(d) = -2*d**2. Give w(r(a)). -36*a**4 Let i(v) be the first derivative of -1/2*v**3 + 2*v + 0*v**2 + 1. Let t(m) be the first derivative of i(m). Let j(q) = -2*q**2. Determine j(t(z)). -18*z**2 Let k(g) = 3*g**2 - g. Let u be k(-1). Let f(m) = 4*m - u*m - 3*m. Let q(d) = d. Give q(f(n)). -3*n Let f(b) be the firs
{ "pile_set_name": "DM Mathematics" }
s + 24*s. Let f(v) = -3*v**2. Calculate k(f(w)). 48*w**2 Let f(k) = -57*k**2. Let p(t) = -97*t. What is f(p(i))? -536313*i**2 Let k(x) be the third derivative of 4*x**5/15 + x**2. Let u(b) be the third derivative of -b**5/60 - 143*b**2. What is u(k(z))? -256*z**4 Let i(d) be the second derivative of 3*d**4/4 - 2*d. Let f(r) be the second derivative of -r**3/3 + 24*r - 1. Give i(f(h)). 36*h**2 Let z(p) = 22*p**2. Let f(j) = 37*j - 326. Calculate f(z(o)). 814*o**2 - 326 Let n(p) = 2*p**2 - 3*p + 525. Let b(h) = 4*h. Give n(b(z)). 32*z**2 - 12*z + 525 Let j(k) = 6*k**2. Suppose -w - 4*n + 3 = 0, 2*w + n + 3 = 2. Let z(i) = -1. Let v(h) = -3*h - 6. Let a(y) = w*v(y) + 6*z(y). Calculate j(a(m)). 54*m**2 Let z(l) = -2*l. Let f = 33 + -31. Let r(d) = 3*d - d + f + d. Let h(w) = 10*w + 7. Let c(s) = -6*h(s) + 21*r(s). What is c(z(j))? -6*j Let b(p) = -7*p**2 - 10*p - 5. Let k(d) = 4*d**2 + 6*d + 3. Let s(i) = 3*b(i) + 5*k(i). Let m(u) = -3*u - 98. Calculate m(s(x)). 3*x**2 - 98 Let i(q) = -q. Let s = 2 - -2. Let x(d) = 3*d - 10*d + s*d + d. Give x(i(k)). 2*k Let p(l) = -5*l + 8368. Let t(s) = s. Give t(p(c)). -5*c + 8368 Let a(n) = -38*n - 7. Let i(b) = -466*b**2. Give a(i(c)). 17708*c**2 - 7 Let z(l) = 13*l. Let q(a) = 8318*a**2. Calculate z(q(u)). 108134*u**2 Let d(b) = 6*b**2 - 2*b - 4. Let t(l) = -42*l**2 + 15*l + 30. Let c(x) = -30*d(x) - 4*t(x). Let s(z) = -29*z**2. Calculate s(c(j)). -4176*j**4 Let n(j) = -334*j**2 + 9*j - 2. Let q(w) = -152*w**2. Determine n(q(z)). -7716736*z**4 - 1368*z**2 - 2 Let f(p) = 2*p. Let n(g) = 3*g - 26936. Determine f(n(w)). 6*w - 53872 Let n(o) = 4294*o - 5. Let c(g) = -33*g - 1. Calculate c(n(p)). -141702*p + 164 Let z(n) = 3*n. Suppose 0*p = -3*p + 15. Suppose 112 = i - p. Let k(o) = -51*o**2 - 57*o**2 + i*o**2. What is z(k(h))? 27*h**2 Let n(c) = 2*c + 116347. Let f(w) = -4*w. Determine n(f(p)). -8*p + 116347 Let i(r) = 11*r**2 - 3*r + 3. Let n be i(1). Let x(w) = -53*w - 21*w - n*w. Let h(z) = 2*z. What is h(x(g))? -170*g Let r(s) = -13*s**2 + 2. Let z(l) = -95*l**2 + 46*l**2 + 51*l**2. What is r(z(x))? -52*x**4 + 2 Let i(a) = -190*a - 1. Let r(s) = -22*s**2 - 52*s**2 + 76*s**2. Calculate i(r(c)). -380*c**2 - 1 Let v(s) = -2*s. Let q(l) = 2045 - 2045 + 131*l. Give q(v(b)). -262*b Let p(i) = -55*i**2 + 9. Let y(k) = 18*k. Give p(y(a)). -17820*a**2 + 9 Let f(s) = -s**2. Let a(w) = -7*w. Let t(y) = -34*y**2 + y - 2. Let o be t(1). Let v(k) = 119*k. Let z(d) = o*a(d) - 2*v(d). Determine f(z(q)). -49*q**2 Let x(g) = 88*g - 2. Let h(p) = 2*p**2 - 335*p. What is h(x(d))? 15488*d**2 - 30184*d + 678 Let n(o) = -1027*o - 1029*o + 2061*o. Let s(h) = -18*h. Let v(m) = m. Let t(a) = -s(a) - 15*v(a). Calculate t(n(d)). 15*d Let x(j) = -5*j**2. Let l(p) = 14 - 14 + 1638*p**2 - p - 1645*p**2. Determine x(l(k)). -245*k**4 - 70*k**3 - 5*k**2 Let g(x) = -17*x. Let u(n) be the first derivative of n**4/4 - 16*n + 14. Let y(h) be the first derivative of u(h). What is y(g(o))? 867*o**2 Let g(b) = 2*b**2 + 30*b + 218. Let d(s) = -2*s**2. Calculate g(d(i)). 8*i**4 - 60*i**2 + 218 Let d(r) = -22*r**2 + 136*r - 1. Let p(a) = -7*a**2. What is d(p(f))? -1078*f**4 - 952*f**2 - 1 Let r(d) = -18*d**2. Let c(o) = 20*o - 12. Let i(u) = 8*u - 5. Let q(a) = -5*c(a) + 12*i(a). What is r(q(z))? -288*z**2 Let k(v) = 2*v**2 + 2*v - 2*v. Let j = -35 - -37. Let c(a) = 2*a**2 + 7*a**j - 25 + 25. Determine c(k(l)). 36*l**4 Let c(h) = -821*h**2. Let a(y) = 30*y**2. Give a(c(l)). 20221230*l**4 Let j(r) = 19*r**2. Let q = -1914 - -2947. Let c(f) = -1033*f + q*f - f**2. Calculate j(c(u)). 19*u**4 Let n(j) = -j. Let z(i) = -i**2 - 1849*i + 6. What is z(n(w))? -w**2 + 1849*w + 6 Let c(i) = 2*i**2. Let s(y) = 3*y**2 + 46*y + 157. What is s(c(g))? 12*g**4 + 92*g**2 + 157 Let c(t) = -20*t**2 + t. Let u(v) be the first derivative of -v**3/3 + 34. Determine u(c(f)). -400*f**4 + 40*f**3 - f**2 Let p(o) = 2*o**2. Let a(j) = -632 - 47*j - 23*j + 632. What is a(p(z))? -140*z**2 Let y(l) = 4*l**2. Let n(z) = -351009*z. Calculate n(y(r)). -1404036*r**2 Let s(b) = 5*b**2 - 17*b**2 + 10*b**2. Let g(w) = -102*w**2. Determine g(s(v)). -408*v**4 Let o(q) be the second derivative of -q**3/2 + 185*q. Suppose 0 = x + 3 - 7. Let v(t) = -6*t**2 - 4 + x. Calculate v(o(d)). -54*d**2 Let o(v) = -111*v**2 + 123*v**2 - 331*v**2. Let u(r) = -r**2. What is o(u(j))? -319*j**4 Let c(m) = -3*m. Let w(y) = y**3 - 3*y + 3. Let b be w(3). Let d(r) = r + b - 21. Determine d(c(u)). -3*u Let i(d) = -2831*d**2. Let f(q) = -5*q. Calculate f(i(u)). 14155*u**2 Let u(j) = j. Let t(o) = 5*o. Let f(d) = 34*d - 920. Let k(v) = f(v) - 7*t(v). Give k(u(s)). -s - 920 Let c(v) = -3*v**2. Let o(j) be the third derivative of 0*j + 0*j**3 + 19*j**2 + 0 - 5/24*j**4. Give o(c(t)). 15*t**2 Let s(x) = -x - 3*x + 8*x. Let a(v) be the second derivative of 5*v**3/6 - 1661*v. Calculate a(s(w)). 20*w Let p = -23 + 27. Let v(h) = p*h + 17*h - 9*h + 6*h. Let w(t) = 2*t**2. What is v(w(l))? 36*l**2 Let j(q) = 8*q + 56. Let k(a) = -a + 7. Let r(s) = j(s) - 8*k(s). Let p(c) = -c**2. What is p(r(v))? -256*v**2 Let o(z) = 3*z**2 + 431 - 431. Let h(n) = -16*n**2 + 14*n**2 + 8*n**2. Give h(o(t)). 54*t**4 Let a(r) = 4*r**2 - r**2 - 2*r**2. Let h(d) = 2*d - 9. Let j be h(8). Let z(b) = 9*b - 4*b - j*b. Determine a(z(m)). 4*m**2 Let f(c) = 15*c. Let z(i) = 13*i. Let x(n) = -2*f(n) + 3*z(n). Let r(a) = -45*a. Give r(x(q)). -405*q Let f(q) = -22*q. Let x(h) be the first derivative of -2*h**2 + 19. Give x(f(g)). 88*g Let g(f) = 10*f. Let a(b) = 11578*b - 11578*b - 68*b**2. What is a(g(x))? -6800*x**2 Let z(p) be the third derivative of p**8/2520 - 3*p**5/20 - 37*p**2. Let s(q) be the third derivative of z(q). Let o(l) = -l**2. What is s(o(h))? 8*h**4 Let n(g) be the third derivative of 0*g**3 - 1/20*g**5 + 0 + 9*g**2 + 0*g**4 + 0*g. Let z(p) = -7*p. Determine z(n(m)). 21*m**2 Let y(q) = 16*q**2 + 1. Let a(c) = -12*c**2 + 10. Let h(r) be the first derivative of -r**3/3 + r + 13. Let n(d) = a(d) - 10*h(d). Determine y(n(b)). 64*b**4 + 1 Let g(u) = -51538*u. Let f(i) = 2*i. Give g(f(m)). -103076*m Let o(p) = -3348*p. Let x(i) = -50*i. Let n(l) = 6*o(l) - 403*x(l). Let u(t) = -t**2. Determine u(n(w)). -3844*w**2 Suppose -4 = 3*s - 5*s. Let h(z) = -z**s + 0*z**2 + 0*z**2. Let w(p) = 5*p**2. Determine h(w(o)). -25*o**4 Let g(v) = 10*v**2 - 5*v - 5. Let h(j) = -j**2 + j + 1. Let z(o) = -4*g(o) - 20*h(o). Let c(t) = -2*t - 529 + 529. Give c(z(u)). 40*u**2 Let l(x) = 2*x**2. Let a(t) = 172*t**2 + 28*t. Let u(p) = -19*p**2 - 3*p. Suppose 3 = -0*b - b. Let c(i) = b*a(i) - 28*u(i). What is c(l(z))? 64*z**4 Let j(r) = 7*r**2. Let o(i) = 2805*i. What is j(o(f))? 55076175*f**2 Let j(k) be the second derivative of -k**4/4 - 293*k. Let c(o) = 158*o**2. Give c(j(w)). 1422*w**4 Let w(s) = -126*s. Let d(h) = -312*h + 3. Calculate w(d(u)). 39312*u - 378 Let v(s) = -2*s - 3555. Let n(r) = -5*r**2. Calculate v(n(u)). 10*u**2 - 3555 Let f(a) = -26*a - 1 + 7*a + 6*a + 0. Let i(g) = -2*g**2. Give f(i(n)). 26*n**2 - 1 Let s(n) = 4*n**2. Suppose -2*f = -4*f. Suppose -4*l = -f*l. Let b(o) = 117 - o**2 + l*o**2 - 117. Determine b(s(i)). -16*i**4 Let p(q) = -19*q - 2. Let z(a) = 19*a + 3. Let b(g) = -6*p(g) - 4*z(g). Let c(n) = n - 7. Let i(r) = r - 14. Let j(f) = -2*c(f) + i(f). What is b(j(u))? -38*u Let o(a) = -23*a**2. Let v(k) = -6*k**2 + 7. Let r(j) = 2*j**2 - 2. Let l = 157 + -159. Let c(f) = l*v(f) - 7*r(f). What is o(c(n))? -92*n**4 Let s(v) = 2*v**2 + 165. Let l(t) = -21*t**2 - 2. Give s(l(b)). 882*b**4 + 168*b**2 + 173 Let v(w) = 7*w**2 - 12*w**2 + 4*w**2 - 2*w**2. Let a(j) = 8*j. Calculate v(a(h)). -192*h**2 Let x(l) = 11637*l. Let g(h) = -4*h. Determine x(g(r)). -46548*r Let x(l) = 8*l**2. Let w(y) = 3225*y. Calculate x(w(d)). 83205000*d**2 Let v(r) = 49810*r**2. Let f(a) = 3*a. Determine f(v(d)). 149430*d**2 Let r(m) = -2*m**2. Let a(n) = 3*n. Suppose -3*y = 2*t + 10, -4*t - 4*y - 6 = 14. Let j = t + 8. Let s(q) = -q. Let w(k) = j*a(k) + 6*s(k). Calculate r(w(l)). -18*l**2 Let c(d) = -d**2 - 2*d - 409. Let l(i) = -7*i. Calculate c(l(j)). -49*j**2 + 14*j - 409 Let z(l) = -l - 100699. Let p(s) = 3*s**2. What is z(p(y))? -3*y**2 - 100699 Let u(x) be the third derivative of 13*x**4/24 + 152*x**2. Let w(k) = 12*k**2. Give w(u(f)). 2028*f**2 Let n(m) =
{ "pile_set_name": "DM Mathematics" }
oduct of -0.1 and -1570.3. 157.03 328789 * -0.1 -32878.9 0.3 times 0.9061 0.27183 Multiply -1328849 and 0.4. -531539.6 Multiply 0.4 and -0.77072. -0.308288 0.061 * 1026 62.586 What is the product of -1.8 and 0.032436? -0.0583848 Work out 0.026 * 1115. 28.99 What is 40983 times -0.03? -1229.49 -4.872 times -0.24 1.16928 -0.07844 * 2 -0.15688 -7560*-0.04 302.4 -0.9*-2.3873 2.14857 What is -432.7 times 4? -1730.8 171.31 times 0.4 68.524 0.4364 * 1.2 0.52368 0.21714 times -17 -3.69138 Calculate 2.4*-14734. -35361.6 0.019 times 50 0.95 Product of 0.07 and 152887. 10702.09 96.08 * -0.05 -4.804 -303.9 * -1.9 577.41 -58312 times 2 -116624 0.0158 times -0.14 -0.002212 Multiply 27540 and 13. 358020 What is 0.0559 times -608? -33.9872 -77 * 0.06509 -5.01193 What is the product of 2.9733 and 0.3? 0.89199 What is 2.4332 times 104? 253.0528 Calculate -34*0.02061. -0.70074 Calculate 445.179*-0.3. -133.5537 794*5 3970 Calculate -0.0866*0.1875. -0.0162375 Calculate 1.72*229.9. 395.428 Calculate 0*25717. 0 Product of -62.2 and 0.04. -2.488 What is -3 times 1883? -5649 -83*1431.5 -118814.5 Product of -40937 and -3. 122811 Multiply 248 and -0.099. -24.552 Calculate 8509.9*2. 17019.8 What is the product of -0.1 and -55.6? 5.56 Multiply -563.22 and 2.9. -1633.338 -12.2754 * 2.9 -35.59866 -23 * 23106.1 -531440.3 Product of -22.947 and 266. -6103.902 7*46.3768 324.6376 -345*-0.86 296.7 Product of -121.31731 and 0.3. -36.395193 What is the product of 5 and 3443? 17215 0 * -0.0550959 0 Calculate -5*-34604. 173020 Multiply -5 and 8171.1. -40855.5 37933*2 75866 What is 10 times -0.027713? -0.27713 19108 * -5 -95540 -118493 * 5 -592465 Work out 0.4 * 0.0455. 0.0182 Work out 0.0189 * -525. -9.9225 Product of -518 and -72. 37296 What is 0.05 times -9.01? -0.4505 124 * 1233 152892 Multiply 40 and 4235. 169400 What is -7.624 times -116? 884.384 Multiply -0.05 and 70.176. -3.5088 -0.36*-4.64 1.6704 What is the product of 5 and 94024? 470120 Multiply -0.5 and -415755. 207877.5 Multiply -648 and 4.3. -2786.4 What is 5 times 0.072092? 0.36046 What is -24393.19 times -2? 48786.38 What is the product of 5 and -176882? -884410 What is the product of 4.713 and 83? 391.179 Multiply -557 and 0.103. -57.371 Product of 4.2 and -808. -3393.6 Product of -249.35 and 0.2. -49.87 What is -78.019 times 1.5? -117.0285 -0.0447481 * 0.4 -0.01789924 Multiply 0 and 209505. 0 Multiply -7.618 and 4. -30.472 -0.3*123302 -36990.6 Calculate -0.6822*-1. 0.6822 What is -0.17 times 2.1741? -0.369597 What is the product of 227.9 and -716? -163176.4 0.3 * 996.308 298.8924 What is 2719.2 times 2? 5438.4 70663*-5 -353315 -0.572*-178 101.816 What is -2.2 times 4776? -10507.2 Work out -0.2 * 3.09733. -0.619466 Work out 39.1 * 0.1. 3.91 Calculate 0.4*-110708. -44283.2 What is the product of -0.0117 and -0.29? 0.003393 What is the product of 1301 and 0.018? 23.418 What is -628 times 8.34? -5237.52 What is the product of -0.1 and 44031? -4403.1 Calculate 0.382532*0.2. 0.0765064 2 * 6.087 12.174 Product of 692 and -5.87. -4062.04 -15.7*0.1594 -2.50258 Multiply -77.279 and 0.02. -1.54558 What is the product of -21 and 56? -1176 -2*488004 -976008 Multiply 101 and 9. 909 2 times -6863.6 -13727.2 Work out -22.3 * 0.004. -0.0892 Calculate -63*-9.66. 608.58 107514 times -0.07 -7525.98 -0.5 times -204183 102091.5 What is the product of -5482004 and 0.4? -2192801.6 Work out -0.1 * 1.93. -0.193 Calculate 0.3*11244. 3373.2 What is the product of -381 and 14764? -5625084 Work out 4 * 128986.3. 515945.2 Calculate 2*154587. 309174 -10409*8 -83272 Multiply 1.36 and -5751. -7821.36 Product of -2 and 223.66. -447.32 Calculate -0.1*-7090.4. 709.04 What is the product of 33 and -0.05894? -1.94502 Work out -7662 * -0.083. 635.946 Multiply -401 and -0.1547. 62.0347 -8 * 6986 -55888 Calculate -1117*-373. 416641 What is the product of -918 and -381? 349758 Work out -3307 * -17. 56219 What is the product of 0.515 and -36.02? -18.5503 Multiply 25503 and -0.5. -12751.5 -944 * -0.358 337.952 Work out -515 * 12.6. -6489 Work out 0.5 * -2529. -1264.5 Multiply 28.841 and -2. -57.682 What is 2475 times -11? -27225 41505.06 * 0.4 16602.024 Product of -1646 and -0.13. 213.98 Work out 384975 * -1. -384975 3*74733 224199 Product of 0.5032 and 185. 93.092 Work out 178925 * -0.3. -53677.5 Multiply -90969 and 3. -272907 Work out 0.24 * 3723. 893.52 What is 0.247 times -4635? -1144.845 Work out 43 * -0.448. -19.264 Calculate 0.0408403*-0.3. -0.01225209 Multiply 30 and -5.275. -158.25 Product of 1630482 and -1. -1630482 Calculate -0.28*-6.5. 1.82 Multiply -0.989 and -2.6. 2.5714 Work out 0.1414 * 378. 53.4492 What is 209.3 times -4? -837.2 Work out 3 * 249981. 749943 -1987 * 0.96 -1907.52 Product of 694 and 0.1. 69.4 Work out -0.379373 * -0.4. 0.1517492 -0.5558 * 715 -397.397 What is -282.381 times -2? 564.762 Multiply -4637 and 0.44. -2040.28 5 times 266825 1334125 Calculate -37*-1611. 59607 Product of 114.4 and -14. -1601.6 What is the product of -580 and -0.1116? 64.728 -9.4*47 -441.8 -0.125*-0.556 0.0695 Work out 0.5 * 0.00454. 0.00227 -148.9*-7.1 1057.19 What is -1 times -3.6323? 3.6323 Calculate -1797*-9.7. 17430.9 What is the product of 0.02 and 0.0904? 0.001808 Product of 4.61598 and 0.9. 4.154382 32*-44507 -1424224 Calculate -0.0883793*0.2. -0.01767586 Calculate 0.175*-0.178. -0.03115 0.1 times -19264 -1926.4 Work out -0.07 * -6.43373. 0.4503611 Calculate -3*110565. -331695 Work out 0.68 * -1049. -713.32 Work out -1031543 * 0.5. -515771.5 Work out -0.033 * 90930. -3000.69 Calculate -16151*-0.14. 2261.14 What is -339.68 times 0.1? -33.968 -33180 times 0 0 What is the product of -0.8 and -211.2? 168.96 Multiply -2033.87 and -3. 6101.61 Product of -12 and -9.134. 109.608 What is the product of 1.9 and 55535? 105516.5 32 times -792 -25344 0.7 * 13.1 9.17 What is 1208 times 53? 64024 -1 times 7093 -7093 Product of -1.4 and 199474. -279263.6 What is the product of -2 and -184713? 369426 -0.1*5427 -542.7 -0.1*-152974 15297.4 Multiply 1 and 8915. 8915 Work out 51.4038 * 3. 154.2114 2 times 0.479631 0.959262 -23937*0.07 -1675.59 Product of 2.924 and 3. 8.772 2 * 21913 43826 0.3 * 256856 77056.8 What is the product of 84343 and -3? -253029 Work out 6 * -5409. -32454 Multiply 827.985 and 2. 1655.97 -25.9 times 9985 -258611.5 Calculate 23.4*-6511. -152357.4 Work out -0.1 * 0.0551219. -0.00551219 Multiply 5 and -865527. -4327635 Calculate 1062586*-3. -3187758 Work out -86 * 189.1. -16262.6 0.09 * 1251 112.59 Multiply -44 and -1096. 48224 Multiply -0.51 and 0.8588. -0.437988 128*17 2176 Calculate -0.7*109257. -76479.9 -75.5849*-0.5 37.79245 Work out -3210.3 * 0.5. -1605.15 -0.03 * -3029 90.87 What is 4 times -28.348? -113.392 Product of 24172 and 2. 48344 -45 times 1.028 -46.26 236.6*-85 -20111 -17.42 times 0.95 -16.549 -0.3 * -43.472 13.0416 -53 times 1178 -62434 Product of -0.5 and 1743853. -871926.5 -2.91249*4 -11.64996 Calculate 4*-0.0742592. -0.2970368 Work out 0.1 * -151321. -15132.1 -799.35 * -5 3996.75 Work out -9068 * -0.02. 181.36 Work out -3 * -851.3. 2553.9 What is the product of 7 and -0.25593? -1.79151 Work out 7.2 * 20.199. 145.4328 What is the product of 3.164887 and 0.5? 1.5824435 Work out 55 * -6763. -371965 Calculate -0.1037*1. -0.1037 Calculate -46.4*191. -8862.4 4.56103 * -0.5 -2.280515 -7.7 times -0.183 1.4091 Multiply 0.3 and -158.61. -47.583 -0.5 * -0.0717439 0.03587195 129.4 * -0.04 -5.176 Work out 466.9323 * -1. -466.9323 -321*0.019 -6.099 Multiply -4 and -174.06. 696.24 Multiply -3803.3 and -1. 3803.3 735 times -0.1708 -125.538 -5 * 561 -2805 7 times 1.25 8.75 Product of -81 and 65.3. -5289.3 Work out -512.6 * -6. 3075.6 Multiply 0.039 and 645. 25.155 Work out 30 * 0.0453. 1.359 Multiply 38495 and 3. 115485 What is -0.635 times 237? -150.495 -2183337 times 0.2 -436667.4 What is 7487 times -5.7? -42675.9 Calculate 3048*-0.08. -243.84 Calculate 0.874*-2.4. -2.0976 Work out 0.4 * 119.7. 47.88 What is -127.9 times 1910? -244289 -0.3*-599844 179953.2 Multiply -5 and -6897. 34485 Calculate 75307*-6. -451842 Calculate -8.05915*-4. 32.2366 Calculate -5.808*0.78. -4.53024 What is the product of -9 and 27.228? -245.052 What is -0.2 times -1322697? 264539.4 0.5*-281099 -140549.5 -0.9383 * -2 1.8766 Product of 2109 and -871. -1836939 Multi
{ "pile_set_name": "DM Mathematics" }
*f**2/2 + 9*f + 1. Suppose 16*p + 70 = 6. Is o(p) a composite number? False Let m = 13293 - 8859. Let z be m/(3/(9/6)). Suppose -10*w + z = -13453. Is w a prime number? True Let t(y) = 116*y**2 - 103*y - 2131. Is t(-30) composite? False Suppose 225339 = 23*z - 86449. Let p = z + -5187. Is p a prime number? True Suppose 4*t = 4*l - 176572, 220679 = 9*l - 4*l + 4*t. Is l a composite number? True Let m(b) = 31*b - 54. Let q be m(2). Suppose 10*p + 10371 = y + q*p, -4*y - 5*p = -41471. Is y a prime number? True Suppose 88*x + 3249309 = -24*x + 30091789. Is x a composite number? True Let j be (8/6)/((4/(-12))/(-1)). Suppose 5*t - 5*c - 30 = 0, 8 = -j*c - 8. Is ((-2)/(-3))/((-1)/(-1173)*t) composite? True Let d = 184037 - 55936. Is d a composite number? True Suppose 4*f + 3*f = 441. Let c(n) = 1 + 30*n - f*n + 33. Is c(-8) a prime number? False Let l be (2/4)/(1/(-12)). Let t(m) = -m**3 - 7*m**2 - m + 1. Let n(s) = -16*s**3 - 50*s**2 - 11*s + 5. Let z(a) = n(a) - 6*t(a). Is z(l) a composite number? False Let f be (-12)/18 - 209712/(-18). Suppose 26*n + f = 51*n. Is n a prime number? False Let m = 105297 + -35200. Is m composite? True Let t = -329 - -333. Is ((-7789)/(-3))/(t/((-480)/(-8))) a prime number? False Let b = -1476 - -8821. Let o = b + -3453. Let n = o + -1841. Is n a prime number? False Suppose 4*v + 1301 - 3797 = 0. Suppose -7937 = -23*h + 6760. Suppose u = p + v, 0 = -u - p - p + h. Is u a composite number? True Let q(v) = -v**2 + 22*v - 17. Let o be (0 - -3)*(-2 - (4 + -13)). Let g be q(o). Suppose -g*s + 6432 + 13228 = 0. Is s composite? True Suppose -106*d = -117*d + 658867. Is d a prime number? False Let p(n) be the second derivative of 41*n**4/12 + 13*n**3/6 + 14*n**2 - 20*n - 2. Is p(-3) composite? True Let j = 849 - 819. Is 40/j*-3*31/(-4) composite? False Let j be (-629)/4 - (-1)/4. Let a(p) = 61*p - 56. Let v be a(7). Let n = j + v. Is n a prime number? False Let l(r) = 6*r + 3. Let y be l(-8). Let c be y*(33/9 - 4). Is (-6)/c + (-1602)/(-30) a prime number? True Let d = 775099 + -508550. Is d composite? False Let h = -166 - -172. Is -2 + 1150 + 18/h a prime number? True Let n(t) be the second derivative of -97/20*t**5 - 2*t**2 - 1/3*t**4 - 38*t - 5/6*t**3 + 0. Is n(-2) a prime number? False Suppose 0 = 95*z - 101*z + 42. Suppose 0 = 3*m - i - 23396, 3*m + z*i = 10*i + 23394. Is m a composite number? True Suppose 0 = 4*w + 4*z + 184, -6*z + z = 2*w + 95. Let f = -30 - w. Is 18430/f - 2/(-6) composite? False Let y(f) = 347456*f**2 + 240*f - 241. Is y(1) composite? True Suppose -6*c + 8*c + 4*y - 1333070 = 0, -1999561 = -3*c + 5*y. Is c composite? False Suppose 4*j - 2*f = -0*j - 2, 0 = -2*j + 2*f - 4. Let d be 45/(-6)*j/((-15)/18). Is 2261/d + 4/(-36)*2 a prime number? True Let v(y) = -87*y**3 - y. Let f be v(-1). Suppose -5*b - 5*k + 220 = 0, 0*b + 2*b + k = f. Let i = 81 - b. Is i a composite number? False Suppose -7*p + 429023 = 5*p - 468505. Is p prime? False Is -18 + (-11 - -18) + 271402 prime? False Let h(t) = 51*t**3 - t**2 + 4*t - 5. Suppose s + 4 = 4*o + 2*s, 0 = -2*o - s. Is h(o) a prime number? False Let b be ((-9)/12)/((1/260)/(-1)). Let p = b + 129. Suppose f - 2*l - 17 - p = 0, 4*f = 2*l + 1346. Is f prime? False Let r(x) = -2696*x**3 - 2*x**2 + 6*x - 7. Let a(n) = -2697*n**3 - 2*n**2 + 6*n - 9. Let j(f) = 2*a(f) - 3*r(f). Is j(2) prime? False Suppose 3*h - 3*s = 36, 4*s - 10 - 2 = -2*h. Suppose -317233 = -h*b - 9863. Is b composite? True Suppose -47628 - 41465 = -60*j + 373447. Is j composite? True Let g be 4/20 - 4/20. Suppose -9*b + 27615 + 8304 = g. Is b a prime number? False Let m = 10151 + -5950. Is m a prime number? True Suppose 3*f + 98 = p, -2*p - f - 3*f + 176 = 0. Suppose -p*n + 57944 = -84*n. Is n composite? False Let i = 337418 - 63145. Is i a composite number? True Let q(h) be the second derivative of h**4/12 + 55*h**3/6 + 17*h**2/2 - 17*h. Let v(z) = 2*z**2 + 109*z + 35. Let c(t) = 5*q(t) - 3*v(t). Is c(-21) composite? False Suppose -3*t - t - 1755342 = -22*t. Is t prime? False Suppose -201*r = -74*r - 16263239. Is r a prime number? False Let l = -104 - -158. Let y = -36 - l. Is (-765070)/y - 2/(-9) a composite number? False Let i = -16 - -13. Let m be (-6 + 2 + 12/4)*i. Is (m - (-40)/(-12))*-7698 a prime number? False Let t(w) = 38*w**3 - w**2 + 43*w - 1167. Is t(23) a composite number? False Let h(l) = 2*l - 22*l**2 + 19*l**3 - 17*l**2 - 13*l**2 - 2 + 50*l**2. Is h(3) a prime number? True Suppose 0 = 4*q - h - 130995, -32752 = 236*q - 237*q - 3*h. Is q composite? False Is 5 + (-3 - 7) + (-1926932)/(-14) a composite number? False Is 2/3*3*(-129221303)/(-1466) composite? True Suppose 8*c - 4*v + 20 = 3*c, -v + 5 = 3*c. Suppose 3*y + 4 - 10 = c. Suppose -10*w = y*w - 72. Is w a prime number? False Let q be 156/(-108)*5 - (-2)/9. Let m(n) = 106*n**2 + 23*n + 36. Is m(q) prime? False Let s(q) = q**2 - 5*q. Let n be s(0). Suppose n = 10*j - 569 - 401. Is j composite? False Suppose 15*s + 1041782 = 2*h + 19*s, 1562671 = 3*h + 4*s. Is h a prime number? True Let t = 148400 - 63043. Is t prime? False Is (((-460)/(-368))/((-5)/2))/((-2)/445384) a prime number? False Let n(c) = -177*c**3 - 22*c**2 - 221*c - 17. Is n(-7) a prime number? False Let r(z) = -7*z**2 - 120*z + 18. Let v be r(-17). Suppose 208563 = 22*n + v*n. Is n prime? True Suppose 0 = -3*h + 2*w - w + 44, -5*h + w = -76. Let u(j) = -3 + 2*j + j + 4*j**3 - h*j**2 - 3*j**3 + 3*j. Is u(16) composite? True Suppose -17*r + 806659 = -203160 - 30972. Is r a prime number? True Let y = 550869 + -82238. Is y composite? True Suppose p = 19*p + 1548. Let x = p - -76. Is ((-795)/x - -4)/(1/6) a prime number? False Suppose -4*r + 28132 = 4*t, -3*r + 9459 + 11642 = 2*t. Is r - (5 + 45/(-5)) a prime number? True Let c(n) = -9044*n + 151. Is c(-5) composite? True Let p = 13384 - -15861. Is p prime? False Suppose 25 = -5*x, -g - 4*x + 129307 = 40780. Is g prime? True Let b(p) = 695*p - 1113. Is b(16) a composite number? False Let h(w) = -3*w + 79. Let z be h(25). Suppose 4*a - z*y = 2680, -2*y + 1478 + 1893 = 5*a. Is a a prime number? True Let q = -159 - -191. Suppose -37*s + 21905 = -q*s. Is s a composite number? True Let r(z) = z**2 - 1. Let p(t) = -t**3 - 13*t**2 - 6*t - 5. Let g(x) = p(x) + 6*r(x). Is g(-7) a prime number? True Let x(q) be the third derivative of -1/24*q**4 + 24*q**2 + 0*q + 28/15*q**5 + 0*q**3 + 0. Is x(-1) a composite number? False Suppose 0 = -36*o + 1997989 - 259945. Let f = o + -29006. Is f a prime number? True Let s = -2775 + 1368. Let w = s + 2434. Is w a prime number? False Let d(n) = 402*n - 11254. Let y be d(28). Let a(g) be the first derivative of 101*g**2/2 + 9*g + 1. Is a(y) a prime number? True Let a = 74 - 125. Let y = 55 + a. Suppose 0 = -y*n + 564 + 856. Is n a prime number? False Let y(r) = 12421*r**2 - 9*r - 9. Let d be (-40)/(-60) + 15/(-9). Is y(d) a prime number? True Let c(n) = -n**3 + 12*n**2 - 12*n - 1. Let u be c(13). Let y = 294 - u. Suppose -3*r + y = -1933. Is r a composite number? True Suppose u + 0*j = 4*j + 16, 0 = 2*j + 6. Suppose -n = -2*p - 16965, -u*n + 6*p + 67824 = 7*p. Is n composite? True Suppose 1482*m = 1524*m - 1905834. Is m a composite number? False Suppose 3*n + 5*w = 80342, -9*w + 12*w + 133824 = 5*n. Is n prime? False Let c = 122961 - -50977. Is c a composite number? True Let l(s) = s**2 - 27*s + 28. Let m be l(26). Suppose m*v - 16 = 4. Is (10/25)/((-8)/v)*-4198 a prime number? True Let u(t) = t**2 + 4*t - 3. Let b be u(-5). Let r(p) = 3177*p**2 - 6 - 14 - 290*p**b + 22 + 2*p. Is r(-1) composite? False Suppose 3*w - 292985 = -2*d, -145*d + 140*d - 292999 = -3*w. Is w composite? True Suppose 46*v - 2*t = 51*v - 2026597, 5*t + 405368 = v. Is v prime? True Suppose 4*m = -3*c - 51, -4*c + 3*c = -3. Is ((-109991)/(-8) - 0) + m/(-120) a composite number? True Let u(z) = z**2 - 3*z - 1. Suppose -l - l + 3*i = 4, -i + 24 = 5*l. Let a be u(l). Suppose 4*o + 0*v - 73 = v, -a*o - 5*v = -72. Is o a composite number? False Suppose 0 = -3*y - 4*i + 221220 + 287035, 5 = 5*i. Is y a composite number? True Suppose 1418452 = -3*g + 126595. Is (-4)/36*2 - g/63 prime? False Let x be 3*(-3)/24 - (-189)/(-72). Suppose 5*r + o + 0*o = 58, 2*r - 26 = o. Is -2*x/r*598 composite? True Let z(q) = q**3 + q**2 - 2*q - 1.
{ "pile_set_name": "DM Mathematics" }
ne hundred thousand? 300000 Let s = 633 + -233. What is s rounded to the nearest 1000? 0 Let a = 0.01 + -0.017. Let o = a - -0.02. Let w = 0.0130027 - o. What is w rounded to six dps? 0.000003 Let z = -19 - -19. Suppose z = 12*p - 17*p + 45. Round p to the nearest integer. 9 Suppose -1645023 = -3*p - 0*p. Suppose -48341 = -2*w - p. What is w rounded to the nearest one hundred thousand? -300000 Let b = 15 - 15.14. Let l = 0.1332 + b. Round l to 3 dps. -0.007 Let m = -3 + 3.1. Let g = m + -3.1. Let w = -2.9999968 - g. What is w rounded to six dps? 0.000003 Let u = -9.733 - 0.067. What is u rounded to 0 decimal places? -10 Let o = -39.8 - -39.561. Let m = o + 0.358. Round m to 2 decimal places. 0.12 Let l = 1.718166 + 6.080864. Let u = l - 7.8. Round u to four decimal places. -0.001 Let o = 0 + -2. Let u be 2 - (-2 - (-2)/(-2)). Let z = u - o. What is z rounded to the nearest integer? 7 Suppose -c = -4, 2*h - 6*c + 2*c = 123984. What is h rounded to the nearest ten thousand? 60000 Let x = -2 - 6. Let c = x - -5. Let d(j) = -2*j**3 + 2*j. Let h be d(c). What is h rounded to the nearest ten? 50 Let s = -57.0062 + 57. Round s to 3 dps. -0.006 Let o = -14 - -13.99994. What is o rounded to five decimal places? -0.00006 Let s = 1 + -1. Let q = s - -3. Suppose 0 = q*z - z + 17200000. Round z to the nearest one million. -9000000 Let n = -2 - 8. Let i be ((-24)/n)/((-1)/687500). What is i rounded to the nearest 100000? -1700000 Let w = -5.5 + -0.5. Let x = 6.03 + w. Let s = x + 0.048. Round s to 2 decimal places. 0.08 Suppose -11310770 = -6*f + 3089230. Round f to the nearest one million. 2000000 Let x = -4.3974 + 4.4. Round x to 3 dps. 0.003 Let p = -1.22 + 60.22. Let b = 58.73 - p. Round b to 1 dp. -0.3 Let i be (80000/(-8))/((-4)/22). What is i rounded to the nearest 10000? 60000 Let c = -0.112 - -0.206. What is c rounded to 2 decimal places? 0.09 Let a be -3 + 2 + 11435*-421. Let w = a - -10714136. Round w to the nearest one million. 6000000 Let d = -0.2 - -0.2. Let x = 1.9984 + -2. Let w = x + d. Round w to 3 dps. -0.002 Let g(k) = -176*k**3 + 2*k**2 + 5*k - 6. Let s be g(4). Let o = 19782 - s. Round o to the nearest 10000. 30000 Let p = -13449 - -13449.30005. Let h = -0.2 + -0.1. Let b = h + p. What is b rounded to 4 decimal places? 0.0001 Let d = 1.5 - 1.50016. Round d to 5 decimal places. -0.00016 Let r be ((-32)/10)/(3/(-105)). What is r rounded to the nearest 10? 110 Let s be 39*(2 + (-3 - (1 + 1))). Round s to the nearest 10. -120 Let n = 14.18 + -0.18. Let m = n + -14.022. What is m rounded to two dps? -0.02 Let j = -51 + 50.99096. What is j rounded to three decimal places? -0.009 Let z = 0.642 + -0.79. Round z to 2 dps. -0.15 Let c = 18 - 16.4. Let o = 0.93 - c. What is o rounded to 1 decimal place? -0.7 Let y = 0.241 + -0.240746. What is y rounded to five decimal places? 0.00025 Let w(o) = 2021*o**2 + 3*o - 10. Let r be w(-5). What is r rounded to the nearest 10000? 50000 Let u = -178960.9699012 - -178961. Let d = u - 0.1101. Let q = -0.08 - d. What is q rounded to 6 decimal places? 0.000001 Let w = 7 - 16. What is w rounded to the nearest ten? -10 Let a(x) = -x - 10. Let l be a(-8). Let z = l + 5. Suppose -4*p = -y + 207997, -4*p - 207994 = -z*y + y. Round p to the nearest ten thousand. -50000 Let d(t) = -t**3 + 4*t**2 + 5*t + 3. Let p be d(5). Suppose 0 = p*v - v - 18. Let h(b) = 57*b - 13. Let f be h(v). Round f to the nearest one hundred. 500 Let u = -0.02 - 0.04. Let w = -0.05999996 - u. Round w to seven decimal places. 0 Let u be 13950/12*6400/6. What is u rounded to the nearest one hundred thousand? 1200000 Suppose 0*a + 2*h = a + 183992, -a + 5*h - 183980 = 0. Round a to the nearest 100000. -200000 Suppose 3*t + 4*n - 1 = 7, t - 2*n - 6 = 0. Let m(c) = c - 6. Let a be m(8). Let l be a/t + (-2238)/(-4). What is l rounded to the nearest one hundred? 600 Let b = 0.023938 - 0.024. Round b to 5 decimal places. -0.00006 Let h = -0.3 + 0.295. Let y = 6 - 5.968. Let s = h + y. What is s rounded to two dps? 0.03 Let i = 14 + -13.936. Let z = i + -0.1. Let r = z - -4.336. What is r rounded to the nearest integer? 4 Let j = 5.0009 + -5. What is j rounded to three decimal places? 0.001 Let k be (3 + -3)/(-2) - -74554. Suppose -2*c - 1254554 + k = 0. What is c rounded to the nearest 100000? -600000 Let s(g) = -439*g**2 - 6. Suppose 0 = -5*h - 0*c + c - 20, -h - 3*c = 20. Let j be s(h). Let q = j + 19481. What is q rounded to the nearest 1000? 9000 Let t = 1783.925089 - 1783.9. Let y = -5 - -4.975. Let z = t + y. Round z to five dps. 0.00009 Let v = 0.11 - 0.27. Let g = v - -0.159981. Round g to five decimal places. -0.00002 Let z = 1879309 - 1879306.000006. Let q = 8 - 5. Let r = q - z. Round r to 5 dps. 0.00001 Suppose 4 = 5*u - 6. Suppose -u = -3*k + k. Let g be k + -3 + -26 + 1. What is g rounded to the nearest ten? -30 Let p(r) = -5*r**2 + 2*r - 1. Let s(o) = o**3 + 6*o**2 - o + 5. Let d be s(-6). Suppose 3*t - d = 1. Let v be p(t). Round v to the nearest 10. -70 Let g(c) = c**3 - 4*c**2 + 3*c - 1. Let x be g(3). Let j be x/(3/(-9)) - 5203. Round j to the nearest 1000. -5000 Let g be 27*(589479/9 - 4). Suppose -4*a + 2000008 = -2*h, 3*a + 268317 = 3*h + g. Round a to the nearest one hundred thousand. 500000 Let c = 0 - -4.9. Round c to zero dps. 5 Let d = -38.99876 + 39. What is d rounded to 4 dps? 0.0012 Let a = -909697620.99999966 + 909697596. Let q = a + 25. Let s = 0 - q. What is s rounded to 7 decimal places? -0.0000003 Let o = -301.863 - -302. What is o rounded to two dps? 0.14 Let z = -394943.4600063 - -394935.76. Let h = 7.7 + z. Round h to six decimal places. -0.000006 Let n = 23 - 33. Round n to the nearest integer. -10 Suppose 5*l - 4 = 3*l + s, 4*l - s = 8. Let o(d) = 13298*d + 10. Let v be o(10). Suppose l*k + v = 3*g + 48999, 0 = -2*g - 6. Round k to the nearest 10000. -40000 Let s be 2/12 + (-102)/(-36). Let p be ((2 + -2)/(-1))/s. Round p to the nearest 10. 0 Suppose -3*c + 256807 + 31079692 = 5*y, -5*y = 5*c - 52227515. Suppose -7*i - 2745508 + c = 0. What is i rounded to the nearest 1000000? 1000000 Let g = -1 + 0.94. Let f = 0.06005 + g. What is f rounded to 5 decimal places? 0.00005 Let w = -132 - -70. Let r = w + 61.9971. Round r to 3 decimal places. -0.003 Suppose 2*x + 11507390 = 3*j, 5*x + 11507375 = 3*j - 0*x. Let v = 6535800 - j. What is v rounded to the nearest 1000000? 3000000 Let k(g) = 4298*g**3 - 4*g**2 - 3*g + 4. Let x be k(4). What is x rounded to the nearest ten thousand? 280000 Let j = 82997587 + -82960709.973. Let m = j - 36818. Let c = -59 + m. What is c rounded to 2 decimal places? 0.03 Let o = -56.868 + 57. What is o rounded to two dps? 0.13 Suppose 3*q - 8265 = -4*r, 0*r - 3*q + 4125 = 2*r. What is r rounded to the nearest 1000? 2000 Let s(c) = -2*c - 11. Let t be s(-7). Suppose -3*m + 5*q - 16200 = -5*m, 5*q - 24300 = -t*m. Round m to the nearest 1000. 8000 Let u = 704 + -491. Let g = 213.161 - u. Let z = g - 0.16033. Round z to 4 decimal places. 0.0007 Let o = -3485.3002 - -3486. Let j = 0.7 - o. Round j to three decimal places. 0 Let m = -0.32 + 1.224. Let p = -1.1 - -0.2. Let n = m + p. Round n to two dps. 0 Suppose 20 = 4*r, 2*r + 22 = 2*s - 12. Let n be s/11 + (1099998 - 0). What is n rounded to the nearest one million? 1000000 Suppose j - 1 = -p, 3*j + 3*p - 3 = 2*j. Round j to 5 decimal places. 0 Let n = -0.026 + 11.526. Let h = -11.4999939 + n. Round h to 6 decimal places. 0.000006 Let p be 0 - (-73 + -3 + 4). Let t be (-122384)/p - 2/9. Round t to the nearest 1000. -2000 Let d(l) = -l**3 - l**2 + 8*l + 2. Let v be d(-9). Round v to the nearest 100. 600 Let x(o) = -o**3 + 8*o**2 - 2*o + 12. Let t be x(8). Let f be ((-580001)/2)/(2/(-4)). Let g be f + -2*(-2)/t. Round g to the nearest one hundred thousand. 600000 Suppose -7*k + 2*k - 3*t = -108500009, -t = -2*k + 43399997. What is k rounded to the nearest 1000000? 22000000 Suppose 5*r = -3*w - 520, 0*w = r - 5*w + 104. What is r rounded to the nearest 10? -100 Suppose 4*r + 5900000 = -6*r. What is r rounded to the nearest one hundred thousand? -600000 Let q(l) = -3805*l - 1. Suppose 0 = 2*i + 4 - 0. Let a be q(i). Suppose -3*d - a = -r, -r = 2*d - 4308 - 3286. Round r to the nearest one thousand. 8000 Let f = -0.174 - -0.19. Round f to two
{ "pile_set_name": "DM Mathematics" }
s(t) = -9*t + 30*t + 19 - t**2 - 13*t. What is the remainder when 56 is divided by s(9)? 6 Let y(g) = 3*g - 7. Suppose -10 = -3*q - 1. Let a be y(q). Suppose -1 = -a*j + 1. What is the remainder when j is divided by 1? 0 Let c be ((-8)/(-10))/(2/5). Suppose 0 = -j - c + 5. Suppose 0 = 6*w - 2*w - 16, -4*a + 44 = -2*w. What is the remainder when a is divided by j? 1 Suppose 0*p = 5*p - 190. What is the remainder when p is divided by (-2)/4*-98*30/105? 10 Let k = 6 + 6. Suppose 15*n = k*n. What is the remainder when 60 is divided by (-6 - n)/((-15)/40)? 12 Suppose 35*t - 5*t - 1680 = 0. What is the remainder when 501 is divided by t? 53 Let r(i) = 15*i + 1118. What is the remainder when r(15) is divided by 32? 31 Calculate the remainder when ((-2)/10*16)/(1/(-5)) is divided by 9. 7 Suppose 26*v - 47 = 161. Calculate the remainder when 14 is divided by v. 6 Suppose 4*d = -2*m - 3*m + 223, 0 = 2*m - 4*d - 106. What is the remainder when m is divided by 28? 19 Let r = 105 - 86. Suppose u - 11 = -3*c, c = 3*u + 3*c - r. What is the remainder when 74 is divided by u? 4 Let i(n) = -n**3 + 3*n**2 + 7*n. Let c be i(5). Let t be (24/c)/(4/(-10)). Calculate the remainder when 18 is divided by 4 + -5 + (t - -2). 3 Let n be 2 + -12 + -2 - 2. Suppose 0 = -15*p + 16*p + 4. Calculate the remainder when p/(-3)*(-231)/n is divided by 13. 9 Let d(s) = 4*s**2 + 2*s - 2. Let x be d(1). What is the remainder when 13 is divided by (-3)/((36/(-15))/x)? 3 Suppose 74 = 3*x + 8. Suppose 4*d - 536 = -4*o, 0 = 7*o - 9*o - 3*d + 272. Calculate the remainder when o is divided by x. 20 Let p(h) = 6*h + 10. Let n be p(-9). Let j = 49 + n. Let y(z) = z**3 - 7*z**2 + z. Calculate the remainder when y(7) is divided by j. 2 Suppose -4*z = 8, 5*c = z + 21 - 4. What is the remainder when 6 is divided by (c - 2) + 10/5? 0 Let i = -915 - -991. What is the remainder when 303 is divided by i? 75 Suppose -13*n + 17 + 87 = 0. What is the remainder when 10 is divided by n? 2 Suppose -32*m = -30*m - 210. Suppose m = s + 3*s - 3*p, 3*p - 39 = -2*s. What is the remainder when 47 is divided by s? 23 Calculate the remainder when 257 is divided by 6 - 46*4/(-8). 25 Suppose 0 = -4*p - x + 1273, 2*p = -x + 662 - 23. Calculate the remainder when p is divided by 84. 65 Let q = -77 + 41. Let z = 44 + q. Suppose -39 = -0*p - 3*p. What is the remainder when p is divided by z? 5 Let d(t) = 17*t**2 - 4*t + 33. Let s = 148 - 104. Calculate the remainder when d(3) is divided by s. 42 What is the remainder when 65 is divided by ((-550)/200)/(2/(-8))? 10 Suppose 2*l - 167 + 153 = 0. What is the remainder when 68 is divided by l? 5 Let b = -43 - -288. What is the remainder when b is divided by 31? 28 Let m(c) = -c**3 + 11*c**2 - 18*c - 27. Calculate the remainder when 514 is divided by m(7). 41 Let c = -2890 - -4380. What is the remainder when c is divided by 18? 14 Let t(w) = -w**2 + 8*w - 3. Suppose -5*a = -4*b + 412, -a - a - 164 = -2*b. What is the remainder when (2 - 0)*a/(-8) is divided by t(5)? 9 Let v = -224 - -227. Calculate the remainder when 16 is divided by v. 1 Let h = 128 + -90. Suppose 0 = -v + 3*v - h. Calculate the remainder when v is divided by 4. 3 Let l = 1135 - 940. Calculate the remainder when l is divided by 9. 6 Suppose 4*m - 2539 + 559 = 0. Suppose -m + 111 = -3*o. Suppose 58 = 3*w - o. What is the remainder when w is divided by 16? 14 Suppose -11*p + 15 = -8*p. Suppose p*d = 37 + 178. What is the remainder when d is divided by 24? 19 Let r(c) = 3*c**2 + 2*c - 8. Let u = 63 - 67. Calculate the remainder when r(u) is divided by 13. 6 Suppose a = -a - 5*s - 11, s - 7 = -5*a. Suppose -g = 3*g - 4*n - 20, 4*g - 23 = 5*n. What is the remainder when 71 is divided by 82/2 - (a + g)? 34 Suppose -5*b - 60 = -0*a + 3*a, 4*b + 41 = -a. Let q = 15 + b. Calculate the remainder when 16/1 + 0/3 is divided by q. 4 Let f(g) be the second derivative of g**4/4 - 5*g**3/3 + g**2/2 - 10*g. Calculate the remainder when f(4) is divided by 6. 3 Let f be (-1)/((-300)/(-99) - 3). Let j = 4 - f. Suppose 0 = -5*w + 25, -4*h - 5*w = -36 - 29. What is the remainder when j is divided by h? 7 Let i = 2 + -38. Let r = -33 - i. Suppose 6*l = r*l + 153. Calculate the remainder when l is divided by 13. 12 What is the remainder when (80/200)/((-418)/210 + 2) is divided by (-6)/(((-6)/5)/3)? 12 What is the remainder when 59 is divided by ((-376)/18 + 4/(-36))*-1? 17 Let h(d) = 2*d - d + 5*d - 2*d + 3. Let m(b) = 4*b + 2. Let p(i) = 4*h(i) - 5*m(i). What is the remainder when 52 is divided by p(-4)? 16 Let v be (-4*1)/(6/(-3)). Suppose v*l - 5*i - 45 = 2, 50 = 5*l + i. What is the remainder when 28 is divided by l? 6 Let i = 113 + -102. Suppose i*h - 392 = -62. What is the remainder when 118 is divided by h? 28 Suppose 5*p + 133 = 18. Let r = p - -41. Let m(j) = j**2 - j - 7. What is the remainder when m(-6) is divided by r? 17 Suppose 103*p - 21720 = 43*p. Calculate the remainder when p is divided by 129. 104 Let i = 59 - -16. Let p be 1/(-1 - (-4)/5) - -2. Calculate the remainder when i is divided by ((-57)/(-6))/(p/2 + 2). 18 Calculate the remainder when 570 is divided by (-1562)/(-213)*(2 - -1). 20 Let o = 277 + -271. Let l(p) = -p**2 + 5*p + 8. Let m be l(6). Suppose z + 2*b = 27, -2*b = m*b - 20. Calculate the remainder when z is divided by o. 5 Let r = -5 + 15. Let w(i) = -31*i + 32. Let q(l) = 21*l - 21. Let o(t) = -7*q(t) - 5*w(t). Calculate the remainder when o(5) is divided by r. 7 Suppose -k = -38 + 20. Calculate the remainder when 106 is divided by k. 16 Let c = 3 - 2. Let o(w) = 34*w - 1. Let p = -1 + 13. What is the remainder when o(c) is divided by p? 9 Let s = -873 + 1035. Calculate the remainder when s is divided by 42. 36 Suppose 2*s - 6 = 0, 6*s + 165 = 3*g + 11*s. What is the remainder when g is divided by 14? 8 Let l = -5 - -10. Let a = l + 12. Suppose -5*m + 2*r + 70 = 0, r - 4*r - a = -2*m. What is the remainder when 31 is divided by m? 15 Suppose 126 = 257*r - 243*r. Calculate the remainder when 94 is divided by r. 4 Let z = 15 - -7. Suppose -q + b = 0, q - b = 2*b. Suppose 5*o - 60 = -q*o. Calculate the remainder when z is divided by o. 10 Let y = -59 - -79. Suppose 120 = 5*f - y. What is the remainder when 137 is divided by f? 25 Suppose 52*k - 7290 = 25*k. Calculate the remainder when k is divided by 38. 4 Let m = -1239 + 1284. What is the remainder when m is divided by 35? 10 Suppose 0 = 3*r - 6, -650 = -4*z - 59*r + 64*r. What is the remainder when z is divided by 19? 13 Let x(q) = -9 + 8*q - 5*q + 2. What is the remainder when 74 is divided by x(6)? 8 Calculate the remainder when 85 is divided by (-5 + 12)*4 + -10. 13 Suppose 5*p + t = -215, 89 = -0*p - 2*p - t. Let f = p + 49. Suppose 4*a = -2*x - a + 70, x = 4*a + 9. What is the remainder when x is divided by f? 4 Let t be ((-3)/(-1))/(0 + 1 + 0). Suppose 0 = -t*x + 3*w - 6*w + 18, 3*x + 2*w = 21. Calculate the remainder when 17 is divided by x. 8 Let v(k) = -9*k - 174. What is the remainder when 65 is divided by v(-21)? 5 Suppose 0 = -3*y - 3*l, -5*l - 25 - 15 = -5*y. Suppose -a - 4 = 0, -4*m + 5*m - y*a = 31. What is the remainder when m is divided by 4? 3 Let l = -471 + 684. Calculate the remainder when l is divided by (-19)/(209/(-242)) - -14. 33 Let g(t) = t**3 - 10*t**2 + 3*t. Suppose -4*k - 5*o = k - 55, -4*k = 5*o - 44. Calculate the remainder when g(k) is divided by 52. 50 Suppose 3*o = -2*u + 168, 81 + 178 = 3*u + o. Calculate the remainder when u is divided by 15. 12 Let m(o) = -3*o + 13. Let t be m(6). Let k be (2/t)/((-7)/70). Suppose 0 = j - k*r - 3 - 12, -18 = -j + r. Calculate the remainder when j is divided by 11. 8 Suppose 5*t + 40*l = 43*l + 13, -4*l - 4 = 0. Suppose -5*y + 6 = 2*f, -7 = -5*y - f - 4. Suppose -2*g = -y*g - 6. What is the remainder when g is divided by t? 1 Let l = 38 - 78. Let a = -29 - l. What is the remainder when 32 is divided by a? 10 Let r = 16 + 1. Let d(y) = -14*y + 19. Let g be d(6). Let z = g - -71. What is the remainder when r is divided by z? 5 Let h(s) = s**3 - 4*s**2 - 60*s + 281. Let z = 79 + -28. Calculate the remainder when z is divided by h(5). 3 Let w(t) = 3*t**2 + 2*t + 1. What is the remainder when (-680)/(-8)*(-2)/(-10) is divided by w(-2)? 8 Suppose 0*u + 4*u - 20 = 0. Suppose -
{ "pile_set_name": "DM Mathematics" }
6/(-8)*(-41)/(-246)*12/(-52)*8? 26 (1776/(-18204)*(-123)/6)/((6/118)/3) 118 What is (0/(1008/48))/(-5)? 0 What is ((-2112)/80)/(-33)*(-45)/702? -2/39 (-1950)/(-520)*(-48)/((-3)/1)*-1 -60 What is 393050/4492*(-2)/(-21)? 25/3 Calculate (2848/(-2136))/((-19)/(-19)*(-1)/30). 40 Evaluate (-377)/6032*(-80)/85. 1/17 Calculate (540/140)/((-21)/49). -9 What is 52/((-3536)/561)*48/18? -22 Calculate -2*(48/(-7))/((-3912)/10269). -36 Calculate 41/6*(-1290)/(-215). 41 Evaluate 6/(2/(-18)*13*5/((-975)/(-90))). -9 What is the value of (10/(-52))/(((-25)/120)/(125/375))? 4/13 Evaluate 102*((-1)/2)/((-433)/433). 51 Evaluate 21/945*-5*(27531/14)/19. -23/2 ((-747)/(-498))/(-3*10/(-2)) 1/10 (5/(-25)*-5)/(18/11160*31) 20 Evaluate -6*(-10)/(-25)*((-440)/(-24))/(40/(-90)). 99 What is the value of 4/13*6721/23782? 2/23 What is (-37)/(-25308)*-4*-18? 2/19 What is the value of 15*36*(-1)/(-1980)? 3/11 Calculate 8190/4830*(-391)/(-51). 13 What is 6/(-10)*20140/1272? -19/2 What is the value of ((-20080)/(-45180))/(1/(-9)*230)? -2/115 What is (((-1450)/(-260))/(-29))/(65/(-312))? 12/13 What is the value of (6/(-8)*11/(561/136))/(22/2)? -2/11 Evaluate (289/204)/(-17)*(-45)/(-3)*(-36)/990. 1/22 What is the value of (66/90)/11*(-47325)/(-8203)? 5/13 Calculate ((5/(-24))/(68300/(-16392)))/(53/5). 1/212 What is the value of 1*((35/(-20))/7)/4*84/(-21)? 1/4 Evaluate (440/(-990))/(4/(-8)*-1). -8/9 (-3)/(59/(96760/120)) -41 What is (9*5/(-25)*-5*(-30)/(-675))/(-30)? -1/75 What is the value of ((810/(-225))/((-105)/(-50)))/((-6)/(-21))? -6 What is (24010/686)/(((-9*2)/6)/(-3))? 35 Evaluate (35784/(-4970))/((-9)/(-60)). -48 Evaluate ((70/(-27))/(840/1008))/((-20)/18). 14/5 Calculate ((-164)/656)/(12/2016*-6). 7 Evaluate (-83)/(35/(-14)*(-314)/(-157)). 83/5 What is (4/((-500)/125*(-14)/(-8)))/3? -4/21 What is (-100)/24*183/(6039/44)? -50/9 What is (4355/(13199/197))/((-1*2)/(-2))? 65 Evaluate (62/20)/(99/(-990)). -31 Calculate 6/2*((1035/150)/23)/((-558)/155). -1/4 (28/6)/(-102*(-35)/(-80325)) -105 What is the value of (29/725*75)/((-21)/581)? -83 What is the value of 81/(-36)*20*(-10)/6? 75 What is 6160/20*(1240/50)/(-31)*(-10)/28? 88 What is -54*(-98)/(-8820)*(-5)/(-102)? -1/34 What is (-42)/(-12)*(-1280)/(-6720)? 2/3 Evaluate ((-100)/(-15))/(2960/444). 1 Evaluate ((-2400)/32)/1575*(-14)/6. 1/9 Calculate ((-57)/(-2))/((-8)/(-3)*(-1431)/7632). -57 What is the value of 480/75*3/((-324)/90)? -16/3 What is (5/(-4))/((-258)/3268*(-57)/108)? -30 What is the value of ((-86)/(-7353)*-19)/(6/(-1728))? 64 Calculate ((-385)/3696)/((-125)/675). 9/16 Evaluate (7/14*21)/(174/(-580)). -35 Evaluate (502/(-55220)*2)/(1*(-2)/2). 1/55 Calculate (20230/(-289))/((-7)/6). 60 What is (-2544)/30528*(-44)/1? 11/3 Calculate (1980/48)/(39/((-4836)/(-155))). 33 What is (-336)/56*9/2*(-189)/(-243)? -21 What is 72/(-9)*297/(-32472)? 3/41 Calculate 1103/5515*(-3)/(12/(-700)). 35 What is (-864)/(-64)*(-65)/((-9360)/(-704))? -66 Calculate 12*(-77)/132132*13*-5. 5/11 What is the value of (((-2)/8)/(3/(-18)))/(47574/7048)*-279? -62 Calculate 12105/41695*1/(-9). -1/31 (-1)/((2/1)/2*(-6)/(-3528)*-14) 42 Calculate (3*(-24)/441)/(250/125). -4/49 303*1*(-68)/(11424/56) -101 ((-66)/(-2148))/((-8272)/(-3008)) 2/179 What is ((-1)/(-2))/(26*(-147)/48412)? -19/3 Evaluate 4/(-49)*3073/(-4390). 2/35 What is the value of (6/84)/((93/14)/31)*-189? -63 Evaluate (-3*(-7)/(-245))/(((-260)/(-98))/13*21). -1/50 What is ((-168)/(-28))/(75/(-50))? -4 Calculate (16/20*168405/618)/2. 109 ((-34)/153)/(101722/3258*2/((-4)/2)) 2/281 What is (580/(-25))/(51*6/255)? -58/3 (3*-1)/((76725/(-6160))/(-465)) -112 Evaluate (98/49)/((112/78)/(-14)*(-6)/(-16)). -52 Calculate -116*((923/(-130))/(-71))/(2/(-5)). 29 Calculate (273008/4228)/(20/35). 113 Calculate -10*10/25*-51*8/16. 102 What is the value of (((-1053)/(-1170))/((-6)/75))/((-2)/(8/3))? 15 ((-15)/((-735)/238))/(12/(-21))*6 -51 What is ((63/6)/(-3))/(20/2600*13)? -35 What is the value of (((-102)/(-289)*102)/(-14))/((-2)/(-14))? -18 What is the value of 264*40/7040*13/(-3)? -13/2 What is ((-21910)/(-1565))/(7/(-168)*3)? -112 What is ((-132)/62)/(1699/(-52669))? 66 What is (54/4)/((-79515)/(-43586))? 37/5 Evaluate (((-36)/(-28))/9)/((-576)/384). -2/21 Calculate (((-6)/(-10))/3)/(1*((-1295)/37)/595). -17/5 What is the value of -2*(-6228)/(-1038)*((-25)/(-6))/5*7? -70 (-600)/(-800)*2/(-294)*-2 1/98 What is ((-2)/(-6))/((-4759)/(-271263))? 19 What is 227/(17479/(-2310))*(-6)/(-15)? -12 ((-42)/35)/((-372)/4650) 15 What is (-29)/435*(-203)/(-145)*15? -7/5 What is (-2)/(60/(-100)*(-9)/(-468)*(-140)/21)? -26 (36/(-32))/((-181434)/10996) 3/44 What is the value of ((-8864)/31024)/(4/(-742))? 53 Evaluate -8*54/864*18. -9 Calculate 623/(-42)*12/(-8)*29/(348/48). 89 ((8/140)/((-46)/(-2898)))/(((-14)/(-10))/7) 18 What is ((-12815)/(-1864))/((66/(-16))/(-33))? 55 -7*(-1)/3*285/95 7 Evaluate ((-10)/4)/(3/33*(-3014)/411). 15/4 ((42/120)/(-7))/((-25)/((-2800)/154)) -2/55 What is the value of 4*15/3*(-310)/(-124)? 50 Calculate (-6*6/(-648))/(2/((-280)/(-35))). 2/9 Calculate (450/105*(-27)/30*-4)/(158/(-553)). -54 914185/(-19246)*2/1 -95 Evaluate (98/7)/((-10)/(-4)*(-392)/980). -14 48/27*(-147)/(-196)*(-3)/72 -1/18 Calculate (-30)/(-9)*1704/1420*(-1)/98. -2/49 What is (1/((-39)/(-6)))/((-154)/((-1100)/(-50)))? -2/91 What is the value of -2*26/20*(-1)/(-2)*(-300)/(-10)? -39 Evaluate (11438/129)/(-38)*1971/(-63). 73 Evaluate (((-1710)/12)/(-19))/((-129)/258)*(-2)/114. 5/19 Calculate (-13)/((-390)/(-20))*(-8)/(-11600)*(-150)/20. 1/290 Evaluate 5/((-30)/(-1))*(-37)/(555/(-84)). 14/15 Evaluate (9/(22/(-396)*6))/((-3)/(12/4)). 27 What is ((-45)/4)/(3669/(-24460))? 75 Evaluate (4*(-80)/(-20))/((-28)/14). -8 What is the value of ((-2)/(((-1)/(-2))/(1/4)))/((-295)/(-7375))? -25 -1*(-59)/((-20296)/43) -1/8 Evaluate 297*(287/(-37884))/((-3)/108). 81 8*((-5)/(-6))/((-5115)/27621) -36 Calculate ((-528)/(-143))/((-15)/(-156)*840/525). 24 Calculate 43*((-1)/(10/((-180)/9)))/(22/(-11)). -43 ((-6)/28*4/(-3))/(222870/(-6118))*5 -2/51 Calculate (-378)/(-4662)*629*(-24)/(-68). 18 420/336*100/(-5) -25 What is ((1958/847)/(-89))/(36/(-21))? 1/66 What is the value of ((((-405)/9)/15)/2)/(3/(-24))? 12 Calculate 12/(-2)*(-91)/2275. 6/25 What is the value of ((-4)/(-20))/((24/(-11070))/(-5*36/135))? 123 What is (-204)/16*((-9)/(-21))/(603/3752)? -34 Calculate (((-132)/11)/132*-33)/(30/(-10)*-11). 1/11 ((90/300)/((-18)/(-4))*18)/((-612)/120) -4/17 Calculate 3534/31*(-4)/(-14)*((-2268)/(-48))/(-27). -57 Evaluate ((-3)/12)/((-8)/(-2624))*13*(-12)/(-312). -41 Evaluate (68870/388)/(160/64). 71 Evaluate ((-16)/(-21)*(-373)/32824)/(3/21). -2/33 What is -1*3/222*4*33*36/2376? -1/37 What is the value of ((-22)/44)/((-402)/(-70752))? -88 Evaluate ((-220)/(-66))/(12/(-258))*(-39)/65. 43 What is (284/(148816/(-6550)))/(((-2)/(-4))/1)? -25 What is (((-1275)/170)/3)/(10/104*-1)? 26 Evaluate (25/1950*2)/(6/18)*2/2. 1/13 Calculate 806*63/34398*21. 31 (-84)/(-8505)*-9*(-10)/(-18)*(-8)/16 2/81 What is ((-39)/(-1365)*-14)/((-26)/(-4875))? -75 What is 19/(19684/74)*14/16? 1/16 (752/12*-17*(-20)/1360)/(4/12) 47 Evaluate 13/5*(-19*15/3135)/((-1)/55). 13 Evaluate (9/(-12))/((-954)/424)*-15. -5 What is ((1728/(-225))/16)/(((-4)/660)/((-13)/(-117)))? 44/5 What is ((-2)/(-2))/((-43)/(66650/50))? -31 What is (-864)/420*(-2758)/1182*(-30)/(-2)? 72 ((-4)/3)/(228/5814)*(-6)/3 68 What is (9*48/(-432))/(3/(-1))*9/(-9)? -1/3 What is the value of ((8/(-12))/(948/1422))/(51/21)? -7/17 What is the value of (3/4)/((-114)/(-2660))*(-9)/(90/(-8))? 14 What is the value of (-4)/12*(-40620)/677? 20 What is the value of ((-88)/12)/((-68)/(-170)*(-15)/36)? 44 Evaluate 220*(-190)/152*2/(-10). 55 (-15)/(-459)*(-756)/(-630) 2/51 What is (-4)/((21868/(-33))/71)? 3/7 What is the value of (2/(-5))/((-382)/2865*(-3)/19)? -19 Calculate 18*((-4)/(-24)*36/(-24))/(17/34). -9 Evaluate (1375/(-15))/55*-30. 50 ((-1*(-6)/(-10))/((-6046)/15115))/(2/44) 33 What is (((-12)/136)/3)/(((-26)/(-117))/((-36)/27))? 3/17 Calculate (-11313)/419*2/2. -27 What is the value of ((-8778)/(-17689)*19)/((-1)/(7/(-10)))? 33/5 Calculate (160/(-3600))/(3/(-297)). 22/5 Evaluate -1*-28*(-7)/49*(-21)/(-28). -3 Evaluate (330/(-12))/((1/(-8))/(-18*19/(-1368))). 55 Calculate ((-2)/(-8))/(160/(-768))*15/156. -3/26 Wh
{ "pile_set_name": "DM Mathematics" }