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scaling_mia_the_pile_00_DM_Mathematics

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of c. 2, 3, 11 Let j = -1042 + 4573. List the prime factors of j. 3, 11, 107 Suppose -15 = -5*n - 20. Let f be (-51 - -4)/(-1) + n. Suppose -g + 2 = -0*g, 3*t - g = f. List the prime factors of t. 2 Suppose 4*a - 6 - 17 = 5*r, 2*r + 16 = 5*a. Suppose a*h + 112 = 334. Suppose 0 = -2*i + 133 + h. List the prime factors of i. 2, 61 What are the prime factors of ((-144557)/2)/(322/(-184))? 2, 107, 193 Suppose 16*u - 2 = 15*u. Suppose 503 = -4*s - 3*d, 3*s + 518 = -s + u*d. Let l = -85 - s. What are the prime factors of l? 43 Let a(f) = -f**2 - 5*f - 6. Let h be a(-7). Let o be (18/(-8) + 2)*h. Suppose -1 + 12 = q + 5*s, -o*q = s - 55. What are the prime factors of q? 11 Let y(t) = -4*t**2 + 75*t - 78. Let f be y(16). Let h = -62 + 40. Let m = f + h. List the prime factors of m. 2, 19 Suppose -10*p + 15 = -5*p. Suppose 3*v - g = 34, -5*v + 4*g + 26 = -p*v. Let m(d) = d**3 - 12*d**2 + 13*d - 13. What are the prime factors of m(v)? 3 Let n(h) = h**3 + 4*h**2 + 2*h + 1. Let a = -57 + 54. Let d be n(a). Suppose 7*z + 278 = 4*q + 5*z, 5*q + d*z - 315 = 0. What are the prime factors of q? 67 Suppose -q - 2*g = 2, 1 - 5 = q + 3*g. Suppose -15 = 5*a - 8*a. Suppose -4*j + 96 = a*r, q*j = -3*r + 39 + 9. What are the prime factors of j? 2, 3 Suppose 0 = -3*z + j + 68 + 88, 0 = -2*z + 3*j + 97. Let w = z + -100. Let p = -45 - w. What are the prime factors of p? 2 Suppose 3*g - 223 - 716 = 0. Suppose -x = -2*q + g, 1 - 4 = 3*x. List the prime factors of q. 2, 3, 13 Let w be (-560)/(-25) + 5/((-25)/2). Let h = -20 + w. List the prime factors of (50/(-30))/(1*h/(-78)). 5, 13 What are the prime factors of (-988 + 998)*(1 - -5320)? 2, 5, 17, 313 Let p(o) = -306*o - 2383. What are the prime factors of p(-91)? 25463 What are the prime factors of (222*2/16)/(9/228)? 19, 37 Let s(f) = 7731*f - 401. What are the prime factors of s(4)? 131, 233 Let w be 3 + 4/(-4) + 81 + -5. Suppose 3*l + 55 = 2*t + 133, 3*l = 4*t + w. What are the prime factors of l? 2, 13 Let h(t) = -108*t + 136. Let w be h(-4). Suppose g - 9*z = -5*z + w, -3*z = -g + 564. List the prime factors of g. 2, 3, 23 Suppose q + 4104 = -7*q. Let f = 997 + q. Suppose a = -a + f. What are the prime factors of a? 2, 11 Suppose d - 528 = -2*d. Suppose 264 = 3*f - 5*m, 4*f - m = 6*f - d. List the prime factors of f. 2, 11 Suppose 0 = 5*r + 12*r - 187. Suppose r*s - 1107 = 8*s. List the prime factors of s. 3, 41 Suppose -18*j + 19470 = -12*j. Suppose -12*t = -7*t - j. List the prime factors of t. 11, 59 Let z(b) = 217*b**2 - 22*b + 20. List the prime factors of z(1). 5, 43 Let w(v) = 284*v**3 + 2*v**2 - 153*v + 647. What are the prime factors of w(6)? 5, 7, 1747 Suppose -4*x + 1 = -5*w - 0, 0 = -5*x - 2*w + 26. Suppose -4*j + 7*j = -m + 1, -3*m + 3*j = -27. List the prime factors of m/((-7)/(-74)) + x. 2, 3, 13 Let n = -436 + 442. Let z(m) = 28*m**2 - 13*m - 16. List the prime factors of z(n). 2, 457 Let z(y) be the second derivative of -y**4/12 - 8*y**3/3 + 18*y**2 + 3*y. Let c be z(-18). Suppose c = 2*b - 204 + 78. What are the prime factors of b? 3, 7 Suppose 0 = 5*k + 9*k - 32816. What are the prime factors of k? 2, 293 Suppose 4 + 26 = 10*r. Let s be (-112)/84 + 10/r. Suppose 548 = s*g - z, -2*z - 277 = -g - 0*z. What are the prime factors of g? 3, 7, 13 Let u be ((-133)/(-35) - 2)*205. Let q = 742 - u. What are the prime factors of q? 373 Let u(q) = -q**3 - 8*q**2 - 12*q - 105. Let d be u(-8). Suppose -2*c = -4*a + 136, 15 = 4*a - 5. List the prime factors of c/3*d*(-4)/(-8). 3, 29 Let m(y) be the third derivative of y**5/60 - y**4/24 - 12*y**2. Let j be m(2). Suppose 2*t - 4*t - 8 = -j*c, -2*t = 2*c - 28. List the prime factors of c. 3 Let w be 1/(7/(-7581)*3). Let p = w - -424. What are the prime factors of p? 3, 7 Let b = -23758 - -49399. What are the prime factors of b? 3, 7, 11, 37 Suppose 0*h = -4*h - 20. Let j be (60/h)/(-3) + 13. Suppose -9*u + j*u = 952. List the prime factors of u. 7, 17 Let o(v) = 0*v + 12 - 6*v - 15 - 25. Let d be o(-12). Suppose 24 = -2*r + d. What are the prime factors of r? 2, 5 Suppose 15*w - 189 + 399 = 0. List the prime factors of w/21*8811/(-6). 11, 89 Suppose 14*k + 2079 = 23*k. Let x = k - -260. List the prime factors of x. 491 Suppose 3*w - 4*a = -10, w - 2*a = 2*w - 10. List the prime factors of 327 - (w/4 + (-60)/24). 7, 47 Suppose 0 = -3*i + 106 - 94. Suppose -4*f + 0*f - i = 0. List the prime factors of ((-4)/(-16))/(f/(-12)) + 14. 17 Let r(f) = 415*f - 24. Let q = 359 + -358. List the prime factors of r(q). 17, 23 Suppose 10*j + 3*m - 341666 = 0, 2*j - 38*m + 41*m - 68314 = 0. List the prime factors of j. 47, 727 Let f = -6 - -11. Let v = -2803 - -2894. Let l = f + v. What are the prime factors of l? 2, 3 Suppose 0 = -18*m + 4757 + 1867. Suppose -m - 2362 = -7*p. List the prime factors of p. 2, 3, 5, 13 Let x(y) = 8*y**3 + y**2 + 4*y + 1. Let c be x(4). Suppose 4*k + 3*v = c, 2*k + 0*v = 5*v + 305. What are the prime factors of k? 2, 5, 7 Let b be 1*79 - (-2)/(-1). Let x = 2455 - 2463. Let q = x + b. List the prime factors of q. 3, 23 Let c(b) = -324*b + 88. Let r be c(-3). Let u = r + -689. What are the prime factors of u? 7, 53 Let f be 7 + 9/6*-2. Let t be f + (-3)/(-1) + 11/(-11). What are the prime factors of 16/((-192)/(-90))*176/t? 2, 5, 11 Let j(x) = -x**3 + 2*x**2 + x - 7. Let s = -120 + 116. List the prime factors of j(s). 5, 17 List the prime factors of -3558*((-1)/(12/(-100)) - 9). 2, 593 Let c(u) = -5*u**3 + 25*u**2 + 24*u**2 - 39*u**2 + 4*u**3 - 12*u + 5. Let o(v) = -v**2 - v. Let z(g) = -c(g) - 2*o(g). What are the prime factors of z(8)? 107 Let q be 4 - 8 - (9 + 2) - 1. Let i be 9/15*4/(q/(-100)). Suppose i*a - 20*a = -1205. What are the prime factors of a? 241 Let c = -57 + 61. Let x be (1 - -3) + c/(-2) - 3. What are the prime factors of (-1 - 108/x) + -12 + 14? 109 Let g be ((-1)/(-4))/((-10)/(-120)). Suppose -g*s + 6 = 0, 4*c - 272 = 3*s + s. What are the prime factors of c? 2, 5, 7 What are the prime factors of -13 + (-2254914)/(-374) - (-4)/(-22)? 2, 47 Suppose 0 = -4*d + 2*z - 5*z + 18, 0 = -3*d + 3*z + 3. Suppose 0 = 4*o - d*c + 6*c - 2360, -o = -2*c - 601. List the prime factors of o. 593 What are the prime factors of (-2)/8*4*(-4 - 12618)? 2, 6311 Suppose -2*v + 0*y = y - 7, v + y = 3. Suppose 3*q - 11 = v. Suppose -q*b = -506 + 91. What are the prime factors of b? 83 Let h = 26570 + -13129. List the prime factors of h. 13441 Suppose -x - 5*b + 47350 = 0, 839*b - 838*b = 4*x - 189379. List the prime factors of x. 5, 17, 557 Let p = 169 - -138. Let l = p + -139. Suppose -2*x - n + l = -17, -4*x + 352 = -4*n. What are the prime factors of x? 7, 13 Suppose 117*q = -87*q + 10412976. List the prime factors of q. 2, 7, 1823 Let y = 1158 + 5059. What are the prime factors of y? 6217 Suppose -280006 = 176*t - 2238534. List the prime factors of t. 2, 13, 107 Let z = -2786 - -25718. List the prime factors of z. 2, 3, 7, 13 Let l = 11 - 9. List the prime factors of (l - 4 - -3) + 6 + 376. 383 Let r(o) = o**2 - 4*o - 12. Let h be r(8). Suppose 9*l = h*l - 7766. List the prime factors of l. 2, 353 Let n = -1374 - -2400. Suppose 4*v = -2*d + 4074, -v + n = 4*d - 2*d. What are the prime factors of v? 2, 127 Let v be 1 + 6/2 + -1. Let a(w) = -103944*w - 2 + 2*w**2 + 103946*w - 3*w**2 + 3*w**2. What are the prime factors of a(v)? 2, 11 Let a(h) = -4 - 3 + 0*h + h**2 + h. Let c be a(3). Suppose -2*t = c*z - z - 10, -z - 2*t = -4. What are the prime factors of z? 2 Let v be (3 - (-42)/(-7)) + 406. Let c = v - -354. What are the prime factors of c? 757 Let v(l) = -25*l. Let j be v(2). Let y be j/10*4/10. What are the prime factors of (-456)/(-4)*((-12)/9)/y? 2, 19 Let o(l) = -5*l + 5. Let d(y) = 3*y**2 - 4*y + 5. Let p(x) = 4*d(x) - 5*o(x). List the prime factors of p(-5). 2, 5 Let q = 596 + -242. Let a = -78 + q. List the prime factors of a. 2, 3, 23 Suppose 2*c + 12618 = 4*s, -310*s + 3*c = -306*s - 12619. What are the prime factors of s? 2, 19, 83 Let u(l) = -168*l - 66. Let d(a) = 13266*a + 5214. Let c(z) = 5*d(z) + 396*u(z). What are the prime factors of c(-8)? 2, 3, 11, 23 Suppose -2*r = 900 - 6256. What are the prime factors of r? 2, 13, 103 Let t(i) = -i**3 - 11*i**2 - 10*i - 1. Let x be t(-10). What are the prime factors of x/(-2) - (-97350)/132
{ "pile_set_name": "DM Mathematics" }
se 11, what is 1 + 514? 515 In base 12, what is 0 - -341? 341 In base 13, what is 0 - -a69? a69 In base 16, what is 2 - e? -c In base 14, what is 2c5 - 1? 2c4 In base 12, what is -18 - -53? 37 In base 5, what is 10200 + -1? 10144 In base 5, what is 3 - -1323? 1331 In base 12, what is -4 + -164? -168 In base 16, what is 2 - 20? -1e In base 9, what is 0 - -4343? 4343 In base 5, what is 31 - 1? 30 In base 12, what is 3 - -69a? 6a1 In base 12, what is -3 + -356? -359 In base 16, what is 23 - 5? 1e In base 12, what is -a1 - 0? -a1 In base 11, what is -3 - -2a? 27 In base 6, what is 4 + 5330? 5334 In base 4, what is -1100 + 11? -1023 In base 2, what is 101 + -11010? -10101 In base 8, what is 56 + -1? 55 In base 2, what is 100101110 + -101? 100101001 In base 5, what is 1111 + 3? 1114 In base 12, what is 3 - -18? 1b In base 2, what is 110 + 10111? 11101 In base 9, what is -45041 - 1? -45042 In base 13, what is -94 - -6? -8b In base 14, what is -1d - 1? -20 In base 14, what is -1 + -3b0? -3b1 In base 13, what is 4 + 779? 780 In base 4, what is 332 - -1? 333 In base 3, what is -1100211 - 100? -1101011 In base 2, what is -101 - 10? -111 In base 12, what is -1b - -10a? ab In base 7, what is 2 + 14330? 14332 In base 16, what is -19 + 1fd? 1e4 In base 12, what is 1402 + -4? 13ba In base 7, what is -4324 - -5? -4316 In base 7, what is 14 - 363? -346 In base 6, what is -4 + 45? 41 In base 16, what is 3 - 12? -f In base 11, what is 119 + -1? 118 In base 9, what is -3 + -418? -422 In base 3, what is -101211012 - -12? -101211000 In base 6, what is 1312 - 5? 1303 In base 14, what is -10 - 803? -813 In base 4, what is 11 + -10330? -10313 In base 8, what is 227 + 21? 250 In base 8, what is -34 + -101? -135 In base 8, what is 5 - 1504? -1477 In base 3, what is -121 - 100? -221 In base 3, what is 110222 - -10? 111002 In base 5, what is 40430 - 10? 40420 In base 7, what is 3 + 523? 526 In base 7, what is 121 - 3? 115 In base 7, what is -5 + 125? 120 In base 13, what is -69 + -3? -6c In base 2, what is -10101111 + -1? -10110000 In base 16, what is 3bd6 - 2? 3bd4 In base 11, what is 25 - -2? 27 In base 12, what is -2 + -527? -529 In base 4, what is -100 + -112? -212 In base 16, what is 5 + 1c8? 1cd In base 7, what is -5 - 6? -14 In base 15, what is -a4 + b9? 15 In base 10, what is -2 - 84? -86 In base 14, what is 1da - 45? 195 In base 5, what is 23 + -102114? -102041 In base 16, what is 229 + 2? 22b In base 14, what is -22 + a9? 87 In base 16, what is -38d - 1? -38e In base 11, what is 69 - -46? 104 In base 12, what is 3 + 160? 163 In base 12, what is 9 - -456? 463 In base 6, what is 2 + 110? 112 In base 2, what is -11011 + -10111101? -11011000 In base 13, what is -3 + -2c? -32 In base 2, what is 100 + 1101111110? 1110000010 In base 14, what is -6a + 1a? -50 In base 3, what is 221 - -20120? 21111 In base 7, what is 11 + -1653? -1642 In base 11, what is -1 + -3523? -3524 In base 10, what is -665 - -3? -662 In base 10, what is 5648 + 1? 5649 In base 6, what is -1 + 12052? 12051 In base 2, what is 1100111 - 101? 1100010 In base 12, what is 0 + 176? 176 In base 13, what is 245 + 17? 25c In base 16, what is -6 + -2fc? -302 In base 5, what is 12 + 143? 210 In base 11, what is -2 + -7a1? -7a3 In base 10, what is -53 + 5? -48 In base 8, what is -35 - -33? -2 In base 11, what is 56 - 1? 55 In base 15, what is 4 + 133? 137 In base 9, what is 8 - 25? -16 In base 13, what is 176 - 28? 14b In base 6, what is -5 + -3205? -3214 In base 7, what is -1005 - 13? -1021 In base 15, what is 5 - -1a? 20 In base 3, what is 12001 - -1? 12002 In base 10, what is -23 + 26? 3 In base 3, what is -102 + -2101? -2210 In base 7, what is 4 - 104? -100 In base 4, what is 2 - 1020? -1012 In base 5, what is 13 + -11212? -11144 In base 8, what is 12 - 547? -535 In base 12, what is -9b - 1? -a0 In base 7, what is 0 + 20? 20 In base 10, what is -12 + -9? -21 In base 15, what is -4 - -6b? 67 In base 2, what is -1101001 - -111010? -101111 In base 6, what is -4 - 1520? -1524 In base 11, what is -204 - 5? -209 In base 5, what is 221 + 333? 1104 In base 7, what is 3644 + 4? 3651 In base 2, what is -101 + 110110? 110001 In base 13, what is 4 - 401? -3ca In base 15, what is -18 + 11? -7 In base 14, what is 187 + 6? 18d In base 14, what is 62 - -10? 72 In base 15, what is -19e7 - -1? -19e6 In base 11, what is 399 + -5? 394 In base 14, what is -3 + d9a? d97 In base 13, what is -5 + -ab? -b3 In base 10, what is 402 - -3? 405 In base 14, what is 7a5 + -8? 79b In base 7, what is 324 + 121? 445 In base 5, what is 1400 + -11? 1334 In base 6, what is -151 + -10? -201 In base 8, what is -2 + 733? 731 In base 2, what is -1110011 + 11? -1110000 In base 10, what is 458 - -7? 465 In base 7, what is 15 + -15? 0 In base 16, what is 1c9e + -1? 1c9d In base 4, what is -3220 - 302? -10122 In base 14, what is -5 - 2350? -2355 In base 2, what is -100 + 1010110010? 1010101110 In base 11, what is 1a + 16? 35 In base 11, what is 11 - 1882? -1871 In base 3, what is 21 - 111? -20 In base 13, what is -32 + 3? -2c In base 12, what is 706 + 3? 709 In base 4, what is -1 + 21? 20 In base 4, what is -12 - 3112? -3130 In base 8, what is 3411 - 2? 3407 In base 11, what is -4 - 1641? -1645 In base 14, what is 43 + -3? 40 In base 9, what is 78 + -4? 74 In base 5, what is 101 + -120? -14 In base 13, what is 291 + -4? 28a In base 2, what is 11000101011 - 10? 11000101001 In base 7, what is 3001 - -3? 3004 In base 9, what is 31817 + 3? 31821 In base 11, what is 35 - 10? 25 In base 13, what is 22 - -4? 26 In base 15, what is 5a + -16? 44 In base 6, what is 22 - 54? -32 In base 7, what is -11 + -1620? -1631 In base 2, what is -11 + 1110? 1011 In base 10, what is 19 + 35? 54 In base 12, what is 23 + 5? 28 In base 13, what is 67 + -1? 66 In base 5, what is -2104 - -14? -2040 In base 10, what is 13 - 309? -296 In base 4, what is 3 - 1201? -1132 In base 7, what is -21353 + 4? -21346 In base 3, what is 1111 - 1222? -111 In base 10, what is -2 - -599? 597 In base 2, what is -1000 + -11? -1011 In base 3, what is -110 - -2100? 1220 In base 8, what is -31 - 4? -35 In base 7, what is -614 + 15? -566 In base 13, what is -41 + -7b? -bc In base 11, what is -4 - 87? -90 In base 15, what is -258 - 0? -258 In base 2, what is -100 + -1101? -10001 In base 15, what is 0 - 29? -29 In base 16, what is -1468 + 2? -1466 In base 7, what is -203 + -142? -345 In base 3, what is 2010122 + -1? 2010121 In base 15, what is -302 - 2? -304 In base 5, what is -1200 + 3? -1142 In base 13, what is -7a - 65? -112 In base 15, what is -22 + 64? 42 In base 11, what is -10 - 90? -a0 In base 13, what is -2 - 109? -10b In base 6, what is 3 - -10255? 10302 In base 9, what is -558 - 5? -564 In base 14, what is 1b + -28? -b In base 9, what is -53 - 115? -168 In base 13, what is -5 - 46? -4b In base 3, what is 11 - 2110? -2022 In base 6, what is -45 + -2? -51 In base 15, what is -5 + c? 7 In base 8, what is -15 + -3? -20 In base 10, what is 155 + 4? 159 In base 5, what is 1042 + 1? 1043 In base 2, what is -11 - 1000111011? -1000111110 In base 6, what is -2125 - 2? -2131 In base 12, what is 5 - 1858? -1853 In base 8, what is 2224 + 3? 2227 In base 16, what is c3 + -1? c2 In base 2, what is 100 + -100110? -100010 In base 12, what is -643 + 5? -63a In base 4, what is 22 - 301300? -301212 In base 11, what is 5 + 1784? 1789 In base 13, what is -88 + 0? -88 In base 2, what is -1101011111 - -111? -1101011000 In base 3, what is 1212 + -120? 1022 In base 5, what is 204 - 110? 44 In base 4, what is 213031 + 2? 213033 In base 2, what is -1010111110101111 - 0? -1010111110101111 In base 9, what is 78 - -5? 84 In base 13, what is -4 - 228? -22c In base 3, what is -20 - 1021101? -1021121 In base 4, what is -13 - 20? -33 In base 5, what is 20 - 2224? -2204 In base 9, what is 12 - -63? 75 In base 2, what is 1 + -11000101? -11000100 In base 2, what is 11011000 + 1? 11011001 In base 15, what is 5c15 + -5? 5c10 In base 15, what is e + -b8? -a9 In base 14, what is 28d + 0? 28d In base 3, what is -21122121 - 11? -21122202 In base 3, what is -10121110 + -1? -10121111 In base 4, what is -12000 - 21? -12021 In base 16, what is 4 + -146? -142 In base 15, what is -d - -2b? 1d In base 7, what is -212 - -3? -206 In base 3,
{ "pile_set_name": "DM Mathematics" }
5*v(z). What is the third derivative of u(g) wrt g? -54 Let b(z) = 16*z**2 + 3*z + 24. Let l(p) = 33*p**2 + 5*p + 47. Let n(u) = -5*b(u) + 3*l(u). Find the first derivative of n(i) wrt i. 38*i Suppose 4 = y - 1. Suppose -5*z - y*k = -0*z - 5, -3*z - 5*k + 5 = 0. What is the third derivative of z*f**2 - f**2 + f**3 - f**2 wrt f? 6 Suppose 4*j = 3*j. Suppose 2*q + 2*o + 12 = 5*q, j = o + 3. What is the second derivative of 0*t**2 + 3*t**q - t - 23 + 23 wrt t? 6 Let l(d) = 5*d**4 - 4*d + 8. Let f(s) = s - 1. Let m(b) = -4*f(b) - l(b). Find the first derivative of m(h) wrt h. -20*h**3 Let a(p) be the first derivative of -5/4*p**4 - 6 + 0*p**3 + 3*p + 0*p**2. Find the first derivative of a(x) wrt x. -15*x**2 Find the second derivative of 2 - 5*a**3 - 2 + a + a wrt a. -30*a Let w(a) be the third derivative of a**6/24 - a**3/3 - 2*a**2. Find the first derivative of w(x) wrt x. 15*x**2 Let a(y) be the third derivative of -y**5/15 - y**3/6 + 4*y**2. What is the first derivative of a(h) wrt h? -8*h Let v(s) be the second derivative of -1/30*s**6 + 0*s**5 + 0*s**2 + 1/2*s**3 + 0*s**4 - 3*s + 0. Find the second derivative of v(o) wrt o. -12*o**2 What is the first derivative of -481*j + 10 + 481*j - 15*j**4 wrt j? -60*j**3 Let k(j) be the third derivative of 25*j**4/24 - 14*j**3/3 - 18*j**2. What is the first derivative of k(b) wrt b? 25 Let a be ((-20)/(-8))/(3/6). Let u(y) be the second derivative of -1/2*y**2 + 0 - 1/20*y**a + 0*y**4 + 0*y**3 - 2*y. Differentiate u(m) with respect to m. -3*m**2 Let o(q) be the first derivative of 2*q**2 - 4 + q - 3*q - q**2 - 2*q**2. Differentiate o(i) with respect to i. -2 Suppose 0 = -4*v + 3*v. Let z be 4/(-14) + 46/14. What is the first derivative of 3*s**z - 2 - 4*s**3 + v wrt s? -3*s**2 Let s(l) = l + 10. Let q be s(-6). What is the first derivative of f + 4 + q*f + 0*f - 5 wrt f? 5 Suppose 0 = -2*f + 4 - 0. Let h be f/(-2 + (-24)/(-10)). What is the third derivative of 2*g**h + 4*g**2 - 3*g**2 + 3*g**2 wrt g? 120*g**2 Find the second derivative of -1195*u + 3*u**2 - 9*u**3 + 1206*u - 3*u**2 wrt u. -54*u Suppose -2*d = -3*d + 3. What is the derivative of 4*q - 4*q + 4 + d*q**3 + 0*q**3 wrt q? 9*q**2 Let a(w) be the first derivative of w**6/6 - w**2 - 1. What is the second derivative of a(h) wrt h? 20*h**3 Let t(s) be the first derivative of 12*s**5/5 + 10*s**3/3 - 13. What is the third derivative of t(n) wrt n? 288*n What is the derivative of 2*m - 6*m - 1 - 3 - 2*m wrt m? -6 What is the second derivative of 15*z**4 - 43*z - 361 - 40*z**4 + 361 wrt z? -300*z**2 Let w(l) = l**3 - 6*l**2 + 4*l + 5. Let i be w(5). Suppose d = 4*h - 17, -d - 4*d - 5 = i. Find the third derivative of 3*s**5 + s**2 + 3*s**5 - h*s**5 wrt s. 120*s**2 What is the first derivative of -12 + 23 - 3*w**2 - 12*w**4 + 3*w**2 wrt w? -48*w**3 Suppose -10 = -3*d - r, 5*d - 4*r + r = -2. Suppose d*w - 3*x = -9, 2*w - 6 - 20 = -4*x. What is the second derivative of l**3 + w*l - l + l wrt l? 6*l Let g be (1/2)/(11/220). What is the derivative of 2*a - g - 2*a - 6*a**2 wrt a? -12*a Let q(g) be the second derivative of -7/2*g**2 + 9*g + 0*g**5 + 0*g**3 - 4/15*g**6 + 0*g**4 + 0. Differentiate q(u) wrt u. -32*u**3 What is the first derivative of -9 - 352*c**4 + 354*c**4 - 2 wrt c? 8*c**3 Suppose b = 6*b + 5*r - 30, 0 = -3*b + r + 2. What is the third derivative of -2*x**6 + 0 - 2*x**6 + b*x**2 + 0 wrt x? -480*x**3 Suppose 3*a - 7 = 17. Suppose 3*y = 1 + a. Find the third derivative of -2*d**4 + 5*d**4 + y*d**3 - 3*d**3 + 2*d**2 wrt d. 72*d Find the first derivative of -6*r + 3 + 16 + 6*r - 19*r**3 wrt r. -57*r**2 Let w(s) = 18*s**2 - 48*s - 36. Let a(u) = u**2 - u - 1. Let y(b) = -36*a(b) + w(b). What is the second derivative of y(m) wrt m? -36 Let j(w) = -1. Let i(l) = 19*l - 40. Let z(s) = i(s) + 5*j(s). Differentiate z(q) wrt q. 19 Let y(n) = 20*n + 15. Let d(m) = 20*m + 14. Let h(c) = -6*d(c) + 5*y(c). What is the derivative of h(a) wrt a? -20 Differentiate y**3 - y**3 - 1 + 3 - 6*y**3 wrt y. -18*y**2 Let t(d) be the second derivative of -1/10*d**5 + 1/2*d**3 + 0*d**2 + 0 - d + 0*d**4. Find the second derivative of t(u) wrt u. -12*u Let r(t) be the second derivative of t**6/30 - 11*t**3/6 - 16*t. Find the second derivative of r(a) wrt a. 12*a**2 Differentiate 2*m**4 + 9*m**4 + 2 - 4 - 2 wrt m. 44*m**3 Let d(c) = -c**3 + 10*c**2 - 8*c - 7. Let r be d(9). Find the second derivative of f**2 - 2*f - f**r - 3*f**3 + 5*f**3 wrt f. 12*f Suppose 0*d - d - 3 = -m, -d = 4*m - 32. Find the third derivative of -12*f**2 + m*f**2 + f**3 + 7*f**2 wrt f. 6 Let s be 4/6*(0 - -6). What is the first derivative of -79*p - 3*p**s + 79*p - 1 wrt p? -12*p**3 Let a(s) = 30*s**2 + 3*s - 13. Let o(m) = 59*m**2 + 7*m - 26. Let i(w) = 7*a(w) - 3*o(w). What is the first derivative of i(u) wrt u? 66*u Differentiate -100 + 10 + 36*l + 43 wrt l. 36 Let t(r) = 2*r**5 - 4*r**3 + 7*r**2. Suppose -14 = 4*b + 2. Let i(g) = g**3 - g**2. Let k(s) = b*i(s) - t(s). What is the third derivative of k(f) wrt f? -120*f**2 Let g(z) be the third derivative of -z**5/5 + 7*z**4/24 - 19*z**2. What is the second derivative of g(o) wrt o? -24 Let i(z) = 22*z**2 + 25. Let g(k) = -110*k**2 - 125. Let d(n) = 2*g(n) + 11*i(n). Find the first derivative of d(x) wrt x. 44*x Let x(s) = -4*s**3 - 3*s**2 + 3*s - 9. Let i(w) = -4*w**3 - 4*w**2 + 4*w - 8. Let r(y) = 3*i(y) - 4*x(y). What is the first derivative of r(h) wrt h? 12*h**2 Let u(f) be the second derivative of f**8/1680 + f**6/240 - f**4/12 - 5*f. Let g(q) be the third derivative of u(q). Find the second derivative of g(o) wrt o. 24*o Let j(s) be the second derivative of 4/3*s**3 - 6*s + 0 - 7/2*s**2. What is the derivative of j(u) wrt u? 8 Let m(c) = -44*c**2 + 9*c - 7. Let x(u) = -15*u**2 + 3*u - 2. Let q(h) = 4*m(h) - 14*x(h). What is the second derivative of q(o) wrt o? 68 Let h(p) be the third derivative of 0*p**3 + 0*p**6 - 1/168*p**8 + 0*p**7 + 0*p**4 - 4*p**2 + 0 + 0*p + 7/60*p**5. Find the third derivative of h(a) wrt a. -120*a**2 Let h(f) = 13*f**4 - 15*f**2 + 5*f - 6. Let d(x) = 12*x**4 - 14*x**2 + 4*x - 5. Let l(n) = 6*d(n) - 5*h(n). Find the third derivative of l(o) wrt o. 168*o Let s(j) be the third derivative of 0*j**7 - 1/24*j**4 + 0*j**6 + 0 + 2*j**2 + 0*j**5 + 0*j**3 + 1/112*j**8 + 0*j. What is the second derivative of s(a) wrt a? 60*a**3 Let d(y) = y**5 + y**4 - 1. Let r(z) = 35*z**5 + 3*z**4 + 45*z - 3. Let x(b) = 3*d(b) - r(b). What is the second derivative of x(i) wrt i? -640*i**3 Suppose 2*u = -3*u. Let c(h) be the second derivative of -h**2 - h - 1/10*h**5 + u + 0*h**3 + 0*h**4. Differentiate c(z) wrt z. -6*z**2 Let q(x) = -2*x**4 - 2*x**3 + 2*x - 3. Let p(i) = -6*i**4 - 7*i**3 + 7*i - 9. Let n(c) = 2*p(c) - 7*q(c). Differentiate n(y) with respect to y. 8*y**3 Find the third derivative of 2*z**3 - 23*z + 5*z**2 + 23*z wrt z. 12 What is the first derivative of -23 - v**3 + 21*v**3 - 8*v**3 wrt v? 36*v**2 Let b = 14 + -10. Let t(u) be the first derivative of 0*u + 0*u**2 + 0*u**b + 0*u**5 + 2 - 2/3*u**3 + 1/3*u**6. What is the third derivative of t(g) wrt g? 120*g**2 Let h be (-1)/5*(-5)/2. Let i(s) be the second derivative of -3/2*s**2 + h*s**3 - s + 0. What is the first derivative of i(o) wrt o? 3 Let z(n) be the third derivative of n**7/420 + n**4/12 + n**3/3 + n**2. Let w(d) be the first derivative of z(d). Differentiate w(o) wrt o. 6*o**2 Let p(h) = 5*h**2. Let l be p(-1). Suppose 2*a = 3*x - 23, 0 = l*x - 2*a + 5*a - 13. What is the second derivative of 3*r**5 + 2*r - x*r**5 - r wrt r? -40*r**3 What is the first derivative of 0*n + 4*n + 2 - 9*n + 0*n wrt n? -5 Let j(o) be the second derivative of 7*o**4/12 + o**3/6 + 8*o. What is the second derivative of j(i) wrt i? 14 Let f(x) = -26*x**4 - 2*x**3 + 2*x**2 - 9. Let d(m) = -129*m**4 - 11*m**3 + 11*m**2 - 45. Let i(s) = 2*d(s) - 11*f(s). What is the derivative of i(g) wrt g? 112*g**3 Let p(m) be the first derivative of -m**6/20 + 2*m**3/3 + 3*m**2/2 - 2. Let b(g) be the second derivative of p(g). Differentiate b(f) with respect to f. -18*f**2 Let f be ((-12)/3)/(-1 - 1). Suppose -p - 7 = -3*t, -5*p - f - 1 = t. What is the second derivative of a**2 - 2*a**t + 2*a**2 + a wrt a? 2 Let s(h) be the third derivative of h**7/840 - h**6/360 + h**4/24 + 4*h**2. Let w(i) be the s
{ "pile_set_name": "DM Mathematics" }
me factors of 4749? 3, 1583 List the prime factors of 65181. 3, 21727 What are the prime factors of 17788? 2, 4447 List the prime factors of 2633. 2633 List the prime factors of 3475. 5, 139 What are the prime factors of 130854? 2, 3, 113, 193 What are the prime factors of 1289? 1289 What are the prime factors of 1454? 2, 727 List the prime factors of 828. 2, 3, 23 List the prime factors of 7607. 7607 What are the prime factors of 25307? 25307 What are the prime factors of 314? 2, 157 What are the prime factors of 7870? 2, 5, 787 What are the prime factors of 13696? 2, 107 What are the prime factors of 3509? 11, 29 List the prime factors of 2132. 2, 13, 41 List the prime factors of 203. 7, 29 What are the prime factors of 535? 5, 107 List the prime factors of 6320. 2, 5, 79 What are the prime factors of 101657? 59, 1723 List the prime factors of 36131. 36131 What are the prime factors of 3316? 2, 829 What are the prime factors of 406? 2, 7, 29 What are the prime factors of 29771? 7, 4253 List the prime factors of 4049. 4049 What are the prime factors of 861? 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709 List the prime factors of 1872. 2, 3, 13 List the prime factors of 27643. 7, 11, 359 List the prime factors of 2310. 2, 3, 5, 7, 11 List the prime factors of 2120. 2, 5, 53 List the prime factors of 42836. 2, 10709 What are the prime factors of 46599? 3, 7, 317 What are the prime factors of 491? 491 What are the prime factors of 78068? 2, 29, 673 What are the prime factors of 1654? 2, 827 What are the prime factors of 11230? 2, 5, 1123 List the prime factors of 1898. 2, 13, 73 What are the prime factors of 6115? 5, 1223 List the prime factors of 1111. 11, 101 What are the prime factors of 40150? 2, 5, 11, 73 What are the prime factors of 14076? 2, 3, 17, 23 What are the prime factors of 2967? 3, 23, 43 List the prime factors of 1686. 2, 3, 281 List the prime factors of 51227. 11, 4657 List the prime factors of 5821. 5821 List the prime factors of 8444. 2, 2111 What are the prime factors of 6949? 6949 What are the prime factors of 2097? 3, 233 List the prime factors of 1506. 2, 3, 251 What are the prime factors of 2209? 47 What are the prime factors of 3181? 3181 List the prime factors of 588. 2, 3, 7 What are the prime factors of 52433? 52433 List the prime factors of 341. 11, 31 List the prime factors of 6301. 6301 What are the prime factors of 6463? 23, 281 What are the prime factors of 4206? 2, 3, 701 What are the prime factors of 1634? 2, 19, 43 List the prime factors of 1894. 2, 947 What are the prime factors of 32448? 2, 3, 13 What are the prime factors of 97? 97 What are the prime factors of 923? 13, 71 What are the prime factors of 338? 2, 13 List the prime factors of 3625. 5, 29 What are the prime factors of 6777? 3, 251 List the prime factors of 45725. 5, 31, 59 What are the prime factors of 132210? 2, 3, 5, 13, 113 List the prime factors of 1503. 3, 167 What are the prime factors of 2297? 2297 List the prime factors of 7075. 5, 283 What are the prime factors of 16466? 2, 8233 What are the prime factors of 1154? 2, 577 What are the prime factors of 1977? 3, 659 What are the prime factors of 68642? 2, 7, 4903 What are the prime factors of 1291? 1291 List the prime factors of 5717. 5717 What are the prime factors of 664? 2, 83 What are the prime factors of 937? 937 List the prime factors of 838. 2, 419 List the prime factors of 637. 7, 13 List the prime factors of 22653. 3, 839 List the prime factors of 125. 5 What are the prime factors of 2266? 2, 11, 103 What are the prime factors of 21873? 3, 23, 317 What are the prime factors of 2400? 2, 3, 5 List the prime factors of 42106. 2, 37, 569 What are the prime factors of 42486? 2, 3, 73, 97 What are the prime factors of 1195? 5, 239 What are the prime factors of 2110? 2, 5, 211 List the prime factors of 2525. 5, 101 List the prime factors of 3601. 13, 277 What are the prime factors of 28424? 2, 11, 17, 19 List the prime factors of 12362. 2, 7, 883 What are the prime factors of 135793? 7, 19, 1021 List the prime factors of 531. 3, 59 List the prime factors of 1547. 7, 13, 17 What are the prime factors of 9760? 2, 5, 61 List the prime factors of 6499. 67, 97 What are the prime factors of 10426? 2, 13, 401 List the prime factors of 57. 3, 19 List the prime factors of 26142. 2, 3, 4357 List the prime factors of 55628. 2, 13907 What are the prime factors of 1251? 3, 139 List the prime factors of 692. 2, 173 List the prime factors of 8879. 13, 683 What are the prime factors of 697? 17, 41 List the prime factors of 18684. 2, 3, 173 What are the prime factors of 26901? 3, 7, 61 List the prime factors of 70100. 2, 5, 701 What are the prime factors of 839? 839 List the prime factors of 3289. 11, 13, 23 List the prime factors of 166264. 2, 7, 2969 List the prime factors of 170988. 2, 3, 14249 What are the prime factors of 2574? 2, 3, 11, 13 List the prime factors of 13343. 11, 1213 List the prime factors of 16035. 3, 5, 1069 What are the prime factors of 45974? 2, 127, 181 What are the prime factors of 2276? 2, 569 List the prime factors of 372. 2, 3, 31 List the prime factors of 75628. 2, 7, 37, 73 List the prime factors of 8903. 29, 307 What are the prime factors of 12298? 2, 11, 13, 43 List the prime factors of 26121. 3, 8707 What are the prime factors of 150521? 7, 21503 List the prime factors of 48747. 3, 16249 What are the prime factors of 767? 13, 59 List the prime factors of 269. 269 What are the prime factors of 4346? 2, 41, 53 List the prime factors of 5086. 2, 2543 List the prime factors of 45015. 3, 5, 3001 What are the prime factors of 34440? 2, 3, 5, 7, 41 List the prime factors of 2350. 2, 5, 47 What are the prime factors of 1419? 3, 11, 43 List the prime factors of 14787. 3, 31, 53 List the prime factors of 26368. 2, 103 What are the prime factors of 1858? 2, 929 What are the prime factors of 8935? 5, 1787 List the prime factors of 36416. 2, 569 What are the prime factors of 2017? 2017 What are the prime factors of 4505? 5, 17, 53 List the prime factors of 3836. 2, 7, 137 List the prime factors of 33052. 2, 8263 What are the prime factors of 91280? 2, 5, 7, 163 What are the prime factors of 47735? 5, 9547 What are the prime factors of 154? 2, 7, 11 List the prime factors of 4657. 4657 What are the prime factors of 37110? 2, 3, 5, 1237 What are the prime factors of 15238? 2, 19, 401 List the prime factors of 128. 2 What are the prime factors of 60? 2, 3, 5 List the prime factors of 1077. 3, 359 List the prime factors of 82171. 82171 List the prime factors of 2573. 31, 83 What are the prime factors of 1095? 3, 5, 73 List the prime factors of 10305. 3, 5, 229 List the prime factors of 3433. 3433 What are the prime factors of 21232? 2, 1327 What are the prime factors of 12788? 2, 23, 139 What are the prime factors of 725? 5, 29 What are the prime factors of 4221? 3, 7, 67 What are the prime factors of 6824? 2, 853 List the prime factors of 16114. 2, 7, 1151 List the prime factors of 19903. 13, 1531 List the prime factors of 4457. 4457 What are the prime factors of 7148? 2, 1787 List the prime factors of 27. 3 What are the prime factors of 271? 271 List the prime factors of 98204. 2, 24551 What are the prime factors of 2565? 3
{ "pile_set_name": "DM Mathematics" }
Rearrange -1 + 1 + 2*r + (4 + 16 - 5)*(-2*r + 2 - 2) + 2*r - r + 0*r to the form p*r + c and give p. -27 Express 53*m**2 - 9*m**2 - 16*m**2 as c*m**2 + r + l*m and give c. 28 Express -20*u**2 - 2 + 14*u**2 + 13*u**2 - 3*u - 2*u**3 as g + n*u**3 + p*u**2 + m*u and give m. -3 Rearrange (-1 + 1 - 2)*(-l - 3 + 3 + (0*l + 4*l - 5*l)*(2 + 0 - 1)) to the form m*l + q and give m. 4 Rearrange -11 + 5 + 143*k + 6 to o*k + y and give y. 0 Rearrange (3*o - o**2 - 3*o)*(3902 + 7*o - 3907 - 2*o) to y*o**3 + z*o + b*o**2 + n and give b. 5 Express 35*c + 143*c + 4*c - 16*c as r*c + n and give r. 166 Express h**2 + 69*h - 140*h + 75*h as a*h**2 + z*h + v and give a. 1 Express (1 + 2*c - 1)*(-1 - 12*c - 3*c + 2*c) as y*c**2 + z*c + f and give z. -2 Express -12*g**2 + 1 - 9 + 10*g**2 as z*g**2 + p*g + m and give z. -2 Express (0 + 4 - 3)*(4*p - 2*p - p - 2*p - 4 + 4 + (-2*p + 2*p - p)*(0 + 3 - 2) + 2*p - 2*p + 4*p) as i + w*p and give w. 2 Rearrange (-2*h**2 + 7*h**2 - 4*h**2)*(-4*h + 3*h + 2*h) + (961 - 961 + 47*h**3)*(2 - 2 + 1) to the form w*h**2 + q*h + a + p*h**3 and give a. 0 Express -9 - 11 - 2*g + 6 in the form c + w*g and give w. -2 Express (-2*f + 1 - 1)*(-5 + 1 + 2) - 69*f + 61*f - 44*f in the form t + x*f and give x. -48 Express (-j - 3 + 1 - j)*(0*j - 2*j**3 + 0*j) + 35*j**4 - 18*j**4 + 24*j**4 as z*j**3 + s*j**2 + q + t*j**4 + l*j and give t. 45 Express 8*a**2 - 34*a**2 + 9*a**2 in the form w*a**2 + n + s*a and give w. -17 Express -2*o**3 - o**4 - 2*o**3 - 10*o**3 + 9*o**3 + o as h*o + g*o**4 + t*o**2 + i*o**3 + a and give i. -5 Rearrange 3*g + 2*g + 4*g - 2*g to b*g + v and give b. 7 Rearrange -6*x + 4*x + 4*x + 20*x to the form z*x + i and give z. 22 Rearrange -2*a + 5*a + 3*a + 3*a to x + d*a and give d. 9 Rearrange (-7 + 7 + m**2)*(2 - 6 + 1)*(-2*m + 0*m + m) - 2 + 2 - 2*m**3 to h*m**2 + l + r*m**3 + a*m and give r. 1 Rearrange -1 - 47*l**2 - 1 + 43*l**2 + 5 to the form r*l**2 + i + d*l and give i. 3 Express (3*q + 0*q - 5*q)*(-2*q + 2*q - 2*q)*(3 - 3 - 1) in the form f + t*q + g*q**2 and give g. -4 Rearrange 52 - 2*u - 52 - 68*u to d + o*u and give o. -70 Rearrange 8 + 9*b**2 + 2 - 12*b**2 to the form i*b + l*b**2 + j and give l. -3 Express -31*c + 51*c - 31*c + 3 as f + h*c and give h. -11 Rearrange -28*r + 28*r - 27*r**2 to b*r + w*r**2 + n and give w. -27 Express -2 + 2 - y + ((y - y + 2*y)*(-3 + 3 - 1) - 7 + 7 - 4*y)*(-2 - 3 + 6) in the form g*y + z and give g. -7 Rearrange -3 + 5*c**3 - c - c + 4 to the form t*c**2 + g + x*c**3 + h*c and give h. -2 Express (3*m**2 - 5*m**2 - m**2)*(-3 - 2*m**2 + 3) + 8*m**4 + 22*m - 22*m as y*m**4 + a + j*m**3 + g*m**2 + v*m and give y. 14 Express f**2 - 6*f**2 + 4*f**2 - 1 + 2*f**3 + 0*f**2 in the form b*f**2 + v*f + z*f**3 + x and give z. 2 Rearrange (0 + 0 + 2 - 2*n**3)*(-33*n + 1 - 2 + 36*n) to g*n**2 + x*n + j*n**3 + b + f*n**4 and give f. -6 Rearrange ((-2*s + 2*s - 3*s)*(4 - 6 + 3) - s - 5*s + 3*s)*(-3 + 1 + 1) to i + l*s and give l. 6 Express -6*i**3 + 69 - 2*i**3 + 5*i**3 + 4*i**3 in the form q*i + s + y*i**2 + g*i**3 and give y. 0 Express -19*q - 34*q + 3 - 5 in the form x*q + v and give x. -53 Express -24 + 12 + 10 - 4*a - 2*a**2 as z*a**2 + k + c*a and give c. -4 Express (-2 + 3 + 9)*(0*a**2 + a**2 - 3*a**2 + (-3*a - 2*a + 7*a)*(-2 + 2*a + 2) + 4*a**2 - a**2 + 0*a**2) as t + u*a + s*a**2 and give s. 50 Rearrange (-1 + 1 + 2)*(-h + 0*h + 0*h) + h - 2*h + 0*h + (2 + 4 - 4)*(1 - 1 - h) to z*h + i and give z. -5 Express 11*q - q + 4*q + q + 0*q + 2*q + (2 - 2 - 2)*(-3 - 2*q + 3) as r*q + b and give r. 21 Rearrange 1 - 1 - 53*v + 109*v to the form n*v + x and give n. 56 Rearrange (q**2 + 3*q**2 + 0*q**2)*((-3 + 1 + 0)*(0 + 1 - 3) + 0 - 1 + 2)*(-1 + 1 + 2) - 1 + 1 + 3*q**2 to the form c*q**2 + g*q + w and give c. 43 Express (-44*q + 15*q - 17*q)*(2 + 2*q - 2) in the form v*q**2 + d*q + l and give v. -92 Express (198*p - 105*p + 28*p)*(-5 + 2 + 1) as a*p + y and give a. -242 Express -2 + 0*w - w - 6 as j + p*w and give j. -8 Rearrange -2 + 0 - 4*n + 12*n**4 - 2*n**2 - 13*n**4 + 3*n to z*n**3 + w*n**4 + b + u*n**2 + v*n and give u. -2 Express (5*y - y - 2*y)*(2*y**2 + 0*y**2 + 0*y**2) + (-19*y - 1 - 16*y + 40*y)*(-3*y**2 + 2*y**2 - 3*y**2) in the form f*y**3 + g*y + v*y**2 + k and give f. -16 Express -3 - 82*x**2 + 80*x**2 + 32*x + 3 in the form s*x**2 + z + v*x and give z. 0 Express (7*s - 2*s + 3*s)*(2 - 4 + 1)*(-9*s**3 - 3*s**3 + s**3) as a*s + x + y*s**3 + w*s**2 + f*s**4 and give f. 88 Rearrange 21*a + 0 - 1 - 1 - 23*a to the form i*a + y and give y. -2 Express 3*h**2 - 2 + 2 + (-7*h + 0 + 1 + 5*h)*(20 - 8*h - 20) in the form j*h**2 + n*h + d and give j. 19 Express 2 - 7*f**2 - 1 + 4 in the form a*f + w + q*f**2 and give q. -7 Express j**2 - 3 + 3 + (3*j - 3*j + 5*j)*(-3*j + 0*j + 2*j) - 10*j**2 + 4*j - 4*j in the form q*j + i*j**2 + o and give o. 0 Rearrange -4*k**2 - 6*k**3 + 2*k**3 + 2*k**2 - k**4 to the form u*k**4 + t*k + a*k**3 + o*k**2 + n and give u. -1 Rearrange (-3 - 2 + 6 + (2 + 2 - 2)*(2 - 1 + 7))*(3*w**2 - 4*w**2 + 0*w**2) to the form n*w + h*w**2 + r and give h. -17 Express (-11 - 16 - 17)*(0*t - 2*t + 0*t) as h*t + u and give h. 88 Rearrange -4*y + 4*y + 2*y**3 + 2*y**2 to v*y + q*y**3 + b + o*y**2 and give q. 2 Express (-v**3 - v**2 + v**2)*(-2 + 0 + 0)*(0 - 1 + 0)*(3*v + v + v) in the form f*v**3 + q*v**2 + n + a*v**4 + c*v and give a. -10 Express (-2*j**3 - 5 + 5)*(1 + 3 - 6)*(-20 + 8 - 13)*(-j + 3*j - j) as v*j**3 + i + f*j**4 + q*j**2 + a*j and give f. -100 Rearrange (30*b - 73*b + 2 + 28*b)*(b - b - b) to the form m + i*b + f*b**2 and give f. 15 Rearrange -15 - 9 - 17*b + 24 to the form i + w*b and give i. 0 Rearrange a**2 + 2 - a**3 + 0*a**3 + 369*a**4 - 374*a**4 to g*a**2 + y*a**4 + u*a + x + k*a**3 and give g. 1 Express t**3 - 6*t**3 + t**4 - 25*t + 23*t as z*t**4 + x*t + f*t**2 + i*t**3 + p and give i. -5 Express (-10*d - 3*d**3 - 1 + 2*d**2 + 10*d)*(14*d + 10*d - 21*d) as c*d**2 + j + v*d + k*d**3 + f*d**4 and give k. 6 Rearrange -215*r**2 - 8 + 3*r + 215*r**2 - r**3 to the form u*r**3 + k*r + t + s*r**2 and give t. -8 Express 13*a**2 - a - 44*a**2 + 2 + a in the form o*a**2 + x*a + c and give x. 0 Express (0 - 2*c**2 + 0)*(58 + 22 + 9)*(3*c - 7*c + 2*c) as w*c + k*c**3 + h*c**2 + y and give k. 356 Rearrange -1 - 3 - 8*y**3 + 5*y**3 to t*y**3 + u*y**2 + c*y + h and give h. -4 Express (-22*q**2 + 0*q**2 - q**2 - 4*q**2)*(-3*q + 2 - 2) in the form f*q**2 + v*q + i + h*q**3 and give f. 0 Express (2*m - 4 + 4)*(10 + 5 + 39)*(m**2 - 5*m**2 + 2*m**2)*(m - 1 + 1) in the form s + f*m**3 + h*m + i*m**2 + q*m**4 and give q. -216 Express -2*s**3 + 2*s**2 - 38 + s**3 + 2*s**4 + 39 in the form o*s**3 + v*s**2 + k*s + c + b*s**4 and give b. 2 Express (4*j**2 - 2*j**2 - 4*j**2)*(-3*j + 3*j + 7*j)*(1 + j - 1)*(-4 + 4 - 2) as k*j**2 + d*j**4 + t + o*j + b*j**3 and give d. 28 Rearrange 0 + 7*y**2 - 3 + 4 - 17*y**2 to the form i*y + q + p*y**2 and give p. -10 Rearrange (4 - 5 + 3)*(4 + 0 - 5)*(-5*o + 5*o - 12*o**2) to the form r*o**2 + h + a*o and give h. 0 Rearrange (0 - 1 + 4)*(-t - 13*t + 2 + 2*t) to the form o + n*t and give o. 6 Rearrange 9*r**2 + r + 13*r**2 - 13*r**2 - r**3 to o*r**3 + n*r**2 + x*r + y and give n. 9 Rearrange 4*t**2 - 2*t**3 - 5*t**2 - t - 2*t**4 + 4*t**3 to q*t**4 + l*t + j*t**2 + v*t**3 + u and give j. -1 Express (-33 + 33 + 3*z**4)*(1 - 4 + 1) + (4*z**2 - 2*z**4 - 4*z**2)*(1 - 4 - 1) as n*z**3 + k*z**4 + t*z + i*z**2 + q and give k. 2 Express (d**4 + 0*d**4 - 3*d**4)*(-3 + 4 - 3) - 2*d + 2*d**4 + 2*d + (0 - 3 + 1 + d**3)*(2 - 2 + 2*d) as x*d**2 + a*d**3 + l + q*d**4 + k*d and give k. -4 Rearrange (3*z + 0*z - 4*z)*(-3 + 10 + 3*z - 5) to the form n*z**2 + w*z + h and give n. -3 Rearrange 42*g + 2*g**4 - 25*g - 16*g - 6 - 2*g**2 to the form b + z*g + k*g**2 + h*g**4 + s*g**3 and give h. 2 Rearrange -2*z**4 + z**2 + z**3 + z**2 + z**2 + 1 - 2*z to the form t*z**4 + b*z**3 + c*z**2 + o + y*z and give t. -2 Express -h**3 + 1 + 325*h - 2*h**3 - 310*h as o*h + k*h**2 + t + w*h**3 and give w. -3 Rearrange (18 - 7 + 28*g - 9)*(5 + 0 - 1) to l*g + v and give v. 8 Rearrange -12*u**2 + 25*u + 2 - 24*u - 6 to the form b*u + x + z*u**2 and give x. -4 Express -p**3 + 2*p**3 - p**3 + 3*p - 1 + 2*p**3 as i + k*p**3 + b*p**2 + n*p and give k. 2 Express (0 - 2 + 0 + (-1 + 0 +
{ "pile_set_name": "DM Mathematics" }
1). Suppose -2*i + 10 + g = 0. Is i a multiple of 8? False Let t = -8 - -41. Is t a multiple of 11? True Is 19 a factor of (-4)/8*((2 - 5) + -71)? False Let a = -11 - -24. Does 13 divide a? True Suppose 2*d + 129 = s - 3*d, s - 84 = -4*d. Does 29 divide s? False Suppose 108 = 6*y - 12. Is y a multiple of 3? False Let j = -9 + 5. Let o(b) = b**2 + 3*b - 4. Let q be o(j). Suppose q = -4*m + 71 + 49. Is m a multiple of 15? True Let k(j) = -j**3 - 4*j**2 - 7*j + 2. Let a(l) = l**3 + 5*l**2 + 6*l - 2. Let f(n) = -6*a(n) - 5*k(n). Does 6 divide f(-10)? True Let z(k) = k**3 - 5*k**2 - 7*k - 3. Let d be z(6). Let j(v) = -v**3 - 10*v**2 - 12*v - 11. Let n be j(-9). Let m = n + d. Is 7 a factor of m? True Let g be 5/2*-8 + -2. Let y be (5/(-4))/(1/4). Let s = y - g. Is s a multiple of 17? True Suppose -5*g = -4*i - 7*g + 126, -3*g + 125 = 4*i. Does 10 divide i? False Let p = 9 - 5. Suppose -p*a + 27 + 1 = 0. Is a even? False Let c(t) = -t**3 + 5*t**2 + 2*t - 6. Let v be c(5). Suppose 0 = -v*y, 15 = 2*k + 3*y - 11. Suppose -5*f + 2 = -k. Is f a multiple of 2? False Is 6 a factor of (-1)/1 - (1 - 19)? False Let g be 8/(-36) + (-29)/(-9). Suppose -5*r = -g*w + 86, 0 = w + 3*r - 51 - 1. Is w a multiple of 17? False Let x(f) = 4*f**3 + 4*f**2 - f - 3. Is x(2) a multiple of 12? False Let b(c) = -25*c**3 + c**2. Let x be b(-1). Let w = x + 41. Is 19 a factor of w? False Let x = -4 - -6. Suppose x*i - 4*b - 11 = -3, 3 = b. Is i a multiple of 9? False Let m(p) be the second derivative of -p**5/20 - p**4/4 + p**3/6 + 3*p**2/2 + 3*p. Is 5 a factor of m(-4)? True Let t(o) = -3*o**3 - 2*o**2 - 2*o - 1. Let x be t(-1). Let y be (64 + x)/(6/4). Let j = y + -30. Is 14 a factor of j? True Suppose -10*t = -9*t - 19. Does 18 divide t? False Let p be 8/(-1*4) - -6. Let f = -56 - -106. Suppose -p*a = a - 2*v - f, -5*a - v = -35. Is a a multiple of 4? True Let g = -137 + 199. Is 20 a factor of g? False Let p be (2/(-3 + 4))/2. Does 9 divide 3*(0 - p) - -39? True Suppose -5*m + 5 = a, m + 3*a + 0 = 1. Let z(l) = 13*l**3 - 2*l**2 + 1. Does 12 divide z(m)? True Suppose 0*b + b = -10. Let n be (-1)/(-5) + (-38)/b. Suppose -n*w + 35 = -25. Is w a multiple of 12? False Is (3/(-3))/(3/(-63)) a multiple of 7? True Let t(x) = -19*x - 58. Is 19 a factor of t(-11)? False Let m(d) = d**3 + 3*d**2 - 4*d + 2. Let i(w) = w**3 - 6*w**2 + 4*w + 7. Let x = 11 - 6. Let b be i(x). Is 14 a factor of m(b)? True Let w be (-7568)/(-36) - (-6)/(-27). Let q = 306 - w. Is q a multiple of 24? True Suppose -2*r + r - 34 = 0. Let l = 58 + r. Is l a multiple of 12? True Suppose -4*q + x + 528 = -2*q, 0 = -q - 4*x + 264. Is 2/(-8) - q/(-32) a multiple of 3? False Suppose 192 = -i - 3*i. Let f = i + 80. Suppose 0 = -h - h + f. Does 8 divide h? True Let k = 0 - -1. Let p = 19 + k. Does 7 divide p? False Let o = -38 + 62. Is 24 a factor of o? True Let t(u) = 3*u**2 - 2*u + 3. Let b be t(2). Let d = 13 - b. Is d a multiple of 2? True Suppose 25 = 6*u - u. Suppose -75 + 280 = u*i - 2*b, 4*b + 176 = 4*i. Is 16 a factor of i? False Let t(y) = 5*y**2 - 2*y + 3. Let p(u) = -5 + u**2 + 8*u - u - u. Let v be p(-7). Is 8 a factor of t(v)? False Let v(q) = -4*q + 4. Is 4 a factor of v(-8)? True Let i = 95 + -37. Is 17 a factor of i? False Let c be (1 + 5)*1 + 0. Suppose c*l = 2*l + 80. Does 10 divide l? True Let k(u) = -u**3 + 2*u**2 + 4*u - 3. Let i be k(2). Suppose 0*z + 248 = 5*z - t, -2*z + 110 = i*t. Suppose -4*a + z = -14. Is a a multiple of 13? False Suppose 5*b + 4*y = 341, -b + y + 67 = 3*y. Is b a multiple of 20? False Let k(x) = 3*x**2 - 10*x + 8. Let g(f) = -f**2 + 5*f - 4. Let b(p) = 5*g(p) + 2*k(p). Let j be b(-6). Is 10 a factor of ((-18)/j)/((-12)/32)? False Let w(m) = m**2 - 7*m + 8. Let f be w(8). Let u be (-235)/(-4) - (-4)/f. Suppose -3*n + 2*v = -u, 0 = 3*n - 2*n + 2*v - 9. Does 16 divide n? False Suppose -4*t - 2*l = 0, 0 = -3*l - 5 - 7. Let g(u) = -u**2 + 0*u**t - 4 + 0*u**2 - 10*u. Is 5 a factor of g(-9)? True Suppose -3*c = -3*t + 116 + 91, 5*t + 3*c - 337 = 0. Does 17 divide t? True Let b(p) = -p. Let u be b(-2). Suppose u*n + 2*m = 100, -m + 300 = 5*n - 6*m. Does 20 divide n? False Let x be (-8)/(-12) - 82/6. Is 2 - (x/1 + -3) a multiple of 6? True Let v = -8 + 10. Suppose 0*g + v*g - 180 = 0. Suppose 0 = 2*l + l - g. Does 15 divide l? True Let y = 2 - 0. Is y*6 - 4/(-4) a multiple of 4? False Let s = -6 + 7. Suppose d + s = -4*f, f - 22 = -2*d - f. Is d a multiple of 15? True Let z = 4 + 0. Suppose m + 2*y + 2 = -1, 0 = -z*m - 4*y - 4. Let r = 9 + m. Is r a multiple of 10? True Suppose 163 = 4*m - 109. Is m a multiple of 17? True Let b(v) = v**2 - 5*v - 1. Let g be b(5). Let u = g - -11. Is 5 a factor of u? True Let s = 10 - 2. Suppose 2*y - 48 = s. Suppose 6*n - 2*n - y = 4*p, -19 = -2*n + 3*p. Is n a multiple of 2? True Let f be 11 - 1/1*2. Suppose -4*b - 25 = -f*b. Does 4 divide b? False Let v be ((-15)/(-9))/(3/9). Suppose -55 = -5*d + v. Does 12 divide d? True Let u(j) = -j**3 + 6*j**2 + 5*j - 2. Suppose 0 = -4*y + 16 - 4. Let n be u(y). Suppose -d - d = -n. Does 10 divide d? True Let u = 8 - 16. Let a = 19 + u. Is 11 a factor of a? True Suppose 40 = -5*j + x, -2*j = x + 7 + 2. Let o = 5 - j. Suppose -m = 5*d + o, m - 4*d = d + 38. Is 11 a factor of m? False Suppose 0 = h + 3*h - 16. Suppose -103 = -5*f - 2*x + 175, -h*x + 16 = 0. Does 20 divide f? False Let j = -22 + 18. Is 5 a factor of j + 28 + -3 + 0? False Let l(v) = 2 + 0*v**3 + 2*v - 10*v + 5*v**2 + v**3. Does 6 divide l(-6)? False Let w be (-22)/8 - (-2)/(-8). Let z = w + 8. Suppose -a + 15 = z*k, 2*k - 17 = 6*k - 5*a. Is 2 a factor of k? True Let t = 2 - -1. Suppose 5*p + 15 = 0, 0 = -t*r + p + 9 + 9. Suppose -51 = -3*f + 2*v, 0 = -0*f + r*f + v - 85. Is f a multiple of 8? False Let g = -9 + 4. Let v(i) = -4*i. Is 10 a factor of v(g)? True Suppose 0 = k + 3, -6*i - 5*k = -2*i - 53. Does 7 divide i? False Suppose 5*x = -2*o + 103, -o = 5*x - 0*o - 99. Let i(w) = 3*w - 24. Let s be i(9). Suppose g - x - 2 = -4*v, 0 = 3*g - s*v - 18. Is g a multiple of 3? True Suppose 4 = m + m. Let x be (-2)/(-4) + 1/m. Suppose -2*w + 52 = 4*a, -2*w - x + 71 = -2*a. Does 10 divide w? False Let g = -69 - -93. Does 2 divide g? True Let z be 909/81 + (-2)/9. Let d be (-2370)/(-33) - (-2)/z. Suppose -3*s = -d - 12. Does 14 divide s? True Is 28 a factor of (2/4)/(3 + (-3435)/1146)? False Let a(k) = -k**2 + 20*k - 33. Does 21 divide a(15)? True Suppose m = -g - 0*m - 3, 0 = -5*g - 2*m. Let i be ((-9)/2)/(g/(-4)). Is 6 a factor of 0 + i - (0 - -3)? True Suppose 0 = -2*a + 16 + 38. Is 27 a factor of a? True Let t be 2 + -4 + (-4)/(-1). Let j(i) = 3 + t - i**2 + 0 + 9*i. Is j(7) a multiple of 19? True Suppose -35 - 127 = -3*z. Does 27 divide z? True Let y(s) = -s**2 - 6*s - 4. Let h be y(-4). Suppose 0 = h*i + 5*c + 11, -c + 4 = -1. Let u(f) = -f**2 - 11*f + 6. Does 8 divide u(i)? True Let w be -3*-3*13/(-3). Let u = w + 113. Is u a multiple of 21? False Let n(x) be the third derivative of -3*x**4/4 - 11*x**2. Suppose 0 = -4*c + 16, -2*c + 2 = 4*d - d. Is n(d) a multiple of 10? False Suppose -9 = 5*n + 3*g - 76, 5*g - 20 = 0. Suppose n = z + 2*j, -1 + 20 = 5*z + j. Is z a multiple of 3? True Let j(t) = -5*t - 4. Let m = -8 + 4. Is 8 a factor of j(m)? True Let h = 17 - 30. Is 2/h - 106/(-13) a multiple of 3? False Let w be 10 + -1 + (-4)/2. Suppose w*v - 48 = 3*v. Is 10 a factor of v? False Let f = -8 + 20. Does 12 divide f? True Let v(n) = n**3 + 4*n**2 - 2*n + 4. Is 8 a factor of v(-4)? False Let h(y) = y**3 + 2*y**2 - 7*y - 9. Let f be h(-4). Does 11 divide f*(-1 + (0 - 3))? False Let c(k) = -4*k + 4. Let y(n) = n**3 + n**2 + 3*n + 3. Let w be y(-2). Is 18 a factor of c(w)? False Let s(l) = -35*l**3 - 5*l**2 - 6*l - 3. Is 18 a factor of s(-2)? False Let m(u) = u**3 - 7*u**2 + 9*u. Let b be m(6). Suppose 0*t = 3*t - b. Does 3 divide t? True Let d(z) = z**3 - 4*z**2. Let r be d(4). Suppose -q - q + 10 = r. Suppose 0 = -3*w - 5*h - 2 - 8, -2*w + q*h = -35. Does 5 divide w? True Does 11 divide (6/3 - -159) + (-4 - -8)? True Suppose -3 = -2*y - 7, 37 = 3*t - 2*y. Is t even? False Let h(w) = -2 + 7 + 9*w - 3. Does 9 divide h(3)? False Suppose -4*n + 103 + 9 = 0. Let p = 41 - n. Suppose 5*g - p = -m + 20, 4*m - 102 = -5*g. Is 8 a factor of m? False Suppos
{ "pile_set_name": "DM Mathematics" }
0*f - 94725*f - 4*l, 5*f - 25 = 5*l for f. 9 Solve -5*k = -5*n - 5, 233*k = 230*k - 3*n - 3 for k. 0 Solve -5*p - 89 + 28 = -t, 2*p = -5*t - 19 for p. -12 Solve -18 = 242*u - 245*u + 3*k, 6 = -u - 2*k for u. 2 Solve 2*h - 21 = 3*x, 15*h - 40 = 29*x - 30*x for h. 3 Solve -4*f - 70 = -10*p, f + 6*p + 21 = 9*p for f. 0 Solve -2*h + 90 = -5*l, 17*h = 17*h - l - 18 for h. 0 Solve -4*s - 19 = -u, 89*u + 23 = -8*s + 94*u for s. -6 Solve -2*b = 3*s - 18, -75*b + 4*s - 24 = -79*b for b. 0 Solve 151*y = -5*d + 153*y + 4, 5*y + 10 = 3*d for d. 0 Solve 0 = 6*k + 4*y - 36, -4*k - 2*y - 19 + 45 = 0 for k. 8 Solve -5*g = -2*t - 96 + 113, -31*g - 151 = -t for t. -4 Solve 2*n + 15 = 3*d, 0 = -2*d - 5*n - 28 - 0 for d. 1 Solve 0 = -3*j + t + 22, 16 = -j + 23*t - 18*t for j. 9 Solve 4*u + 6 = -3*l, 0 = 4*l - u + 39 - 12 for l. -6 Solve -a + 4 = -2*b, -27 = 4*b - 11 for a. -4 Solve 6*l = 5*u - 120 + 180, -2*u + 40 = 4*l for u. 0 Solve 0 = 5*a + 5*u + 20, -40*a + 39*a + 12*u = -74 for a. 2 Solve -q + 4*i = -10, 4*q + i = 27 - 38 for q. -2 Solve 3*m = -3*w + 12, -4*w = -25*m + 27*m - 24 for w. 8 Solve -979*l = -3*u - 982*l - 12, 0 = 5*u + 4*l + 17 for u. -1 Solve -220*x + 2*s - 2 = -218*x, -4*x - 6 = -5*s for x. 1 Solve 13*u - 78 = k, -k = 594*u - 590*u - 24 for k. 0 Solve -4*c - 10 = 2*z, 2*z + 1593 = 5*c + 1619 for c. -4 Solve -6 = -3*o, 21*j + 32*j - 49*j + 13*o - 22 = 0 for j. -1 Solve 4*w - 14 = 2*t, 4*t - 93*w = -95*w - 18 for t. -5 Solve 4*m - 2*p - 14 = 0, -7*m + 3*p + 5463 = 5437 for m. 5 Solve -k = 244*a - 240*a - 15, 0 = 3*k + 15 for a. 5 Solve -5*o - 2*g = 47, -5*o - 43*g + 3 = -114 for o. -11 Solve -173 = -2*q + 3*x - 183, x = -3*q - 26 for q. -8 Solve 3*q - 20 = 4*l, 63*l + 2*q - 25 = 68*l for l. -5 Solve 25*w - 23*w = -3*i + 17, -3*i - 5*w + 11 = 0 for i. 7 Solve -173*j - 3*u - 12 = -175*j, 2*u - 20 = -8*j for j. 3 Solve 0 = -3*l - 2*u + 50, 128*l - 132*l = 5*u - 62 for l. 18 Solve -2*l - 10 = c, -4*l - l + 5 = -6*l - 2*c for l. -5 Solve 3*s = -5*n + 248 - 94, 7*n + 2*s = 220 for n. 32 Solve -4*u - 3*i = -59, -2*u - 2849*i + 2850*i = 13 for u. 2 Solve 0 = -32*q + 27*q - 2*j + 9, 5*q = 2*j + 1 for q. 1 Solve 0 = -3*v + 8 - 2, 0 = -5*h + 2*v + 11 for h. 3 Solve 42*m - 46*m = 7*j + 43, -3*m = 3*j - 0*j + 21 for j. -5 Solve -4*r - 34*m = 182, -132*r + 131*r - 2*m = 13 for r. -3 Solve 2*o - 1 = -3*m, 190*o + 43 = -6*m + 195*o for m. -3 Solve -3*o = -17*u + 13*u + 5, 2*u - 9 = -5*o for o. 1 Solve -8 = -o - r - 6, 3*r + 3 = 0 for o. 3 Solve -2*h + 16 = -3*q, q = -11*h + 6*h + 23 for q. -2 Solve 72*m - 2*f + 12 = 74*m, 4*f = -7*m + 15 for m. -3 Solve -2*k + 111 - 121 = -x, x = -5*k + 10 for x. 10 Solve -1125*o + 1123*o - c - 5 = 0, -4*c = -2*o + 10 for o. -1 Solve 5*d + 362*i = 360*i, 3*i + 5 = -5*d for d. 2 Solve -3*m + 28 = -4*g, -211*g = -209*g + 5*m - 12 for g. -4 Solve 5*y - 6 = 4*v - 0*y - 21, -1 = -y for v. 5 Solve i = 5*n + 25, 3*i = 734*n - 737*n + 3 for i. 5 Solve 4*v + 10*o = 11*o - 7, 0 = 10*v + 2*o + 3*o + 25 for v. -2 Solve 2*y - x = -16, -4*x = -30 + 6 for y. -5 Solve -27859*o - 1 = -d - 27857*o, -14 = 4*d - 2*o for d. -5 Solve 924*j - 921*j - 4*r = 3, -34*r + 97 = -j for j. 5 Solve 8*b - 6*b + 3*q + 5329 = 5327, b + 1 = 3*q for b. -1 Solve -4*i + 13 = -o, 9 = -3*o + 10*i - 8*i for o. -1 Solve 3*f = -4*n + 11, 906*n + 2*f = 905*n - 1 for n. 5 Solve -243*x + 241*x - 6 = 2*c, 3*x = 3*c + 27 for c. -6 Solve -2*u + 16*q = -0*u + 80, 4*u - 68 = -5*q - 43 for u. 0 Solve 5*d + 43 = -5*c + 28, 2*c + 1 = 3*d for c. -2 Solve 24*w = 10*b + 25*w + 33, 5*w + 24 = -3*b for b. -3 Solve -a = -2*a + 4*b - 18, -9 = a + 5*b for a. -14 Solve 3*f - 24 = -3*z + 6, 2*z = -4*f + 30 for f. 5 Solve -17*l + 93 = 4*n, 26 = -4*n + l + 29 for n. 2 Solve k - 5*k + 40*r + 4 = -0*k - 41*r + 83*r, -r = 0 for k. 1 Solve -y - 171 = 3*h - 244, -2*h = 4*y - 42 for h. 25 Solve 0 = 3*q - 3*x - 21, 3*x + 262 = -4*q + 276 for q. 5 Solve 155*c + 3*d + 731 = 10*c, -21 = 3*c + 3*d for c. -5 Solve 0 = -4*h - 4*j + 28, -h - 27 = -6*h - j for h. 5 Solve -20 = 2*x - 3*j, j = 57 - 49 for x. 2 Solve 1370*v - 1368*v = 5*t - 9, 11*v - 5*t + 27 = 0 for v. -2 Solve -2*n = 2*q + 2 - 8, -14*q = -4*n + 30 for q. -1 Solve 2 = -y - 0*y, -36 = 4*i - y + 2 for i. -10 Solve 3*d - 9 + 12 = 3*o, -3*o + 3 = 3*d for d. 0 Solve -16 = q + 6*h, -519*q + 518*q - 14 = 5*h for q. -4 Solve 2*k - 2*u = -4, -5223 = -6*u - 5205 for k. 1 Solve 5*w + 38 = 4*d, -4*d = -2*w + 8*w + 5 + 23 for w. -6 Solve -2*h - 14 = -4*z - 42, 0 = -h + z + 11 for h. 8 Solve -i - 23 = 4*l - 27, -13*i = -2*l - 52 for l. 0 Solve -2*g + 71 = z + 72, 2*g + 3*z - 5 = 0 for g. -2 Solve 4580*c - 4582*c = o - 1, c + 1 = -2*o for c. 1 Solve 9*s = -w - 17, -123759*s + 123763*s + 5*w = 38 for s. -3 Solve 3*q = 6*q - 2*g + 9, -5*q = g + 15 for q. -3 Solve 0 = 2*u - 2*a - 2, -23130*a + 23129*a - 1 = -2*u for u. 0 Solve -4 = -5*q + 4*y, 5*q + 5798*y = 5793*y - 5 for q. 0 Solve f - 2 = 2*i, 5 = -5*i - 0*f + f for i. -1 Solve -30*v + 31*v = -19*u - 5, -5*v = -4*u + 25 for u. 0 Solve -2*w + 1 = -m, -38*m - 6*w + 9 = -43*m for m. -3 Solve -4*l - 6212 + 6203 = h, 2*l - 2*h = -2 for l. -2 Solve 3*a - 7 = -5*y, a + 37 = 36 for y. 2 Solve 16*f + 4*x = 14*f - 14, 0 = 4*f - 3*x + 6 for f. -3 Solve o = -2*f + 2, -46*o = 5*f - 45*o - 11 for f. 3 Solve 16 = 4*r - 5*h, -13*r = -5*r - h - 32 for r. 4 Solve 5*t = -4*b - 32, 38 = -b + 35 for t. -4 Solve 0 = -2*g - 5*v - 13, -1033*v = -5*g - 1028*v + 20 for g. 1 Solve 3*y + 4*f + 115 = 71, 5*y - 33 = 3*f for y. 0 Solve 3 = 4*x + j, 2*x - 18837*j = -18839*j - 6 for x. 2 Solve -5*w = 2*l + 21, 18*w + 3*l = -4*w + 12*w - 39 for w. -3 Solve 2*n = -3*u + 4, 47 = 2*u - 2*n + 61 for u. -2 Solve 3*n - 1 = 5*p, 4*p + 0*p + 6 = 5*n for n. 2 Solve 15 = -a + 73*k - 78*k, -a + 4*k + 3 = 0 for a. -5 Solve -5*g + 24*l - 19*l = -20, 0 = 3*g - 5*l - 8 for g. 6 Solve 2259*s - 2254*s - 11 = -2*g, s - 5*g + 14 = 0 for s. 1 Solve -5*p = 3*c - 4, 3*p = -485*c + 482*c for c. -2 Solve -2*u = d + 5, -2*u - 8*d - 17 = -3*d for u. -1 Solve t = -4*o + 42 - 50, 2*o = -4*t - 4 for t. 0 Solve -2*j + 5 = 27*y - 28*y, 4*y + j = -56 for y. -13 Solve -2 = 2*f - 2*t, f + 6*t = 8*t - 6 for f. 4 Solve -8 + 18 = z - 3*v, z + 6*v + 8 = 0 for z. 4 Solve 183898*y - z = 183893*y - 27, -3*y = 4*z + 7 for y. -5 Solve -8*i + 4 + 40 = -4*f, 2*f + 3*i = 6 for f. -3 Solve g + 637*f - 638*f = 9, 3*f + 9 = 0 for g. 6 Solve 0 = 5*h - t + 5, -4*h = 47*t - 52*t - 17 for h. -2 Solve -5*u + 79*o + 9 = -0*u + 78*o, -1 = -5*u + 9*o for u. 2 Solve 39 = -s + 14*s, 3*r - 2*s - 2*s - 1 = 2 for r. 5 Solve -5*w = 28*v - 46, 16 = -733*v + 736*v - 5*w for v. 2 Solve 4*n - 2*w - 12 = 0, 547*n - 4*w = 551*n + 12 for n. 1 Solve -i + 379 = 358, -z = -i + 22 for z. -1 Solve -745*b + 750*b + 6 = 2*v, 5*v - 15 = -5*b for b. 0 Solve -16 = -4*f + 4*q, 16*q + 139 = 91 for f. 1 Solve 3*y + r + 19 - 15 = 0, 3*r - 8 = y for y. -2 Solve 12*c - 15*c - 1 = -2*d + 2, -3 = -d for c. 1 Solve -13*u + 9*u + 1 = -7, -v = -3*u + 9 for v. -3 Solve -3*p + 124 = -5*m + 135, -7 = 4*p + m for p. -2 Solve 18 = -2*i - 6*d, 5*i - 4*d + 2490 = 2502 for i. 0 Solve 354 = 4*n - 2*h + 334, -2*h = -2*n + 6 for n. 7 Solve -96800*i + 5 = -t - 96801*i, 4*i = -2*t - 14 for t. -3 Solve -7441*q + 7439*q + 2*a = 0, -10*a + 20 = 0 for q. 2 Solve 0 = 5*f - 4*q - 523 + 540, -3*f + 9 = 4*q for f. -1 Solve 54*h - 16 = 50*h + 4*s, 5*h = s + 16 for h. 3 Solve 3984*g = 3989*g + 4*v - 24, 0 = 5*g - 5*v - 15 for g. 4 Solve -5*v = -77*z + 78*z - 4, 0 = 5*v + 3*z - 12 for v. 0 Solve 4*o = -4*t - 20, 6*t + 37 = 10*t + 29 for o. -7 Solve -1 = 2*m + 71*h - 68*h, 0 = 3*m - 4*h - 24 for m. 4 Solve -12*q = 5*g - 50, q - 1 = -6*g + 4*g for q. 5 Solve 3*c - 250 + 230 = -4*l, 0 = -4*c + 2*l - 32 for c. -4 Solve 2*p - 64 + 56 = -3*u, -u + 8 = 2*p for p. 4 Solve -3*y + 37 = 2*n, -5*y = 2*n - 195 + 132 for y. 13 Solve -4*z - 28 = -d - 35, 0 = z + d - 8 for z. 3 Solve 0 = -4*v + 5*o - 48, 4*v - 3*o - 58 + 90 = 0 for v. -2 Solve -5*i + 80 = -2*t, 363*i = 359*i + 3*t + 57 for i. 18 Solve 204 = -12*m - h + 244, 0 = 3*m - 4*h + 7 for m. 3 Solve -3*u - 7*d = 17 - 5, -2*d = -u - 4 for u. -4 Solve -3*n = -2503*h + 2498*h - 37, -4*n + 1 = 3*h for h. -5 Solve 4*g + 1643*y + 1 = 1646*y, 4*y + 20 = 0 for g. -4 Solve 7*t - 3*h = 19, 4 = -4*t + 276*h - 278*h for
{ "pile_set_name": "DM Mathematics" }
the ten thousands digit of 236311? 3 What is the ten thousands digit of 195959? 9 What is the ten thousands digit of 38001? 3 What is the thousands digit of 291640? 1 What is the hundreds digit of 1742557? 5 What is the ten millions digit of 11183363? 1 What is the thousands digit of 15294603? 4 What is the ten thousands digit of 5536351? 3 What is the thousands digit of 5012265? 2 What is the units digit of 409054? 4 What is the units digit of 599758? 8 What is the units digit of 327874? 4 What is the units digit of 9011412? 2 What is the thousands digit of 212321? 2 What is the units digit of 926264? 4 What is the hundred thousands digit of 8617686? 6 What is the tens digit of 611681? 8 What is the thousands digit of 269895? 9 What is the thousands digit of 28662352? 2 What is the ten thousands digit of 9320472? 2 What is the thousands digit of 591384? 1 What is the hundred thousands digit of 12038218? 0 What is the ten thousands digit of 89981? 8 What is the hundred thousands digit of 304690? 3 What is the hundreds digit of 95250? 2 What is the tens digit of 2470041? 4 What is the hundred thousands digit of 860473? 8 What is the units digit of 3375075? 5 What is the thousands digit of 294072? 4 What is the millions digit of 21696803? 1 What is the hundred thousands digit of 5471143? 4 What is the millions digit of 14225454? 4 What is the tens digit of 935805? 0 What is the hundred thousands digit of 393467? 3 What is the tens digit of 12085142? 4 What is the millions digit of 1395633? 1 What is the hundreds digit of 297657? 6 What is the units digit of 4946967? 7 What is the units digit of 3108164? 4 What is the hundred thousands digit of 976297? 9 What is the thousands digit of 586192? 6 What is the hundred thousands digit of 3187660? 1 What is the tens digit of 929992? 9 What is the hundreds digit of 256432? 4 What is the thousands digit of 611625? 1 What is the millions digit of 2561900? 2 What is the hundreds digit of 706073? 0 What is the hundred thousands digit of 606174? 6 What is the hundred thousands digit of 6121979? 1 What is the thousands digit of 60283? 0 What is the units digit of 40601607? 7 What is the hundreds digit of 2295133? 1 What is the hundreds digit of 1312185? 1 What is the hundreds digit of 46022? 0 What is the hundreds digit of 8091123? 1 What is the millions digit of 23213446? 3 What is the ten thousands digit of 22693015? 9 What is the thousands digit of 79018? 9 What is the ten thousands digit of 87367? 8 What is the units digit of 466226? 6 What is the millions digit of 2568816? 2 What is the tens digit of 4560750? 5 What is the units digit of 8383492? 2 What is the ten thousands digit of 114243? 1 What is the millions digit of 17248653? 7 What is the ten thousands digit of 335576? 3 What is the thousands digit of 1376989? 6 What is the thousands digit of 24027632? 7 What is the units digit of 775246? 6 What is the thousands digit of 1650477? 0 What is the hundreds digit of 3004489? 4 What is the ten thousands digit of 7028159? 2 What is the hundred thousands digit of 802429? 8 What is the millions digit of 11714398? 1 What is the hundreds digit of 140525? 5 What is the units digit of 13079183? 3 What is the hundreds digit of 189200? 2 What is the ten thousands digit of 11560? 1 What is the thousands digit of 271619? 1 What is the millions digit of 2538768? 2 What is the tens digit of 3082031? 3 What is the ten thousands digit of 346247? 4 What is the ten thousands digit of 1789474? 8 What is the units digit of 9770074? 4 What is the millions digit of 11540724? 1 What is the hundreds digit of 923580? 5 What is the ten thousands digit of 18097? 1 What is the hundreds digit of 73481? 4 What is the hundred thousands digit of 135583? 1 What is the tens digit of 5278472? 7 What is the units digit of 9134953? 3 What is the thousands digit of 3527321? 7 What is the units digit of 1436993? 3 What is the ten thousands digit of 4012541? 1 What is the ten thousands digit of 3323104? 2 What is the ten thousands digit of 9608192? 0 What is the ten thousands digit of 402218? 0 What is the thousands digit of 923435? 3 What is the hundreds digit of 528417? 4 What is the units digit of 197259? 9 What is the ten thousands digit of 883727? 8 What is the millions digit of 23746499? 3 What is the hundreds digit of 6078441? 4 What is the tens digit of 134423? 2 What is the units digit of 1194025? 5 What is the units digit of 3049958? 8 What is the thousands digit of 229212? 9 What is the hundred thousands digit of 11370800? 3 What is the units digit of 574235? 5 What is the units digit of 763224? 4 What is the ten thousands digit of 51551? 5 What is the ten thousands digit of 2481194? 8 What is the units digit of 12092367? 7 What is the ten thousands digit of 1750550? 5 What is the hundred thousands digit of 102914? 1 What is the thousands digit of 10709820? 9 What is the ten thousands digit of 2389610? 8 What is the thousands digit of 3679293? 9 What is the units digit of 30904218? 8 What is the thousands digit of 4879212? 9 What is the ten thousands digit of 365677? 6 What is the millions digit of 9149073? 9 What is the units digit of 5233312? 2 What is the hundreds digit of 1202598? 5 What is the tens digit of 293678? 7 What is the ten millions digit of 16369127? 1 What is the hundred thousands digit of 6152628? 1 What is the hundred thousands digit of 2885499? 8 What is the units digit of 211385? 5 What is the units digit of 200227? 7 What is the hundreds digit of 11198058? 0 What is the hundred thousands digit of 623095? 6 What is the units digit of 4013108? 8 What is the tens digit of 508393? 9 What is the thousands digit of 36590? 6 What is the hundred thousands digit of 2824560? 8 What is the units digit of 344770? 0 What is the tens digit of 186325? 2 What is the ten thousands digit of 2120764? 2 What is the tens digit of 138751? 5 What is the thousands digit of 111857? 1 What is the thousands digit of 4669771? 9 What is the hundred thousands digit of 15008186? 0 What is the ten thousands digit of 4899533? 9 What is the thousands digit of 6877957? 7 What is the tens digit of 4533753? 5 What is the hundred thousands digit of 430660? 4 What is the ten thousands digit of 6993696? 9 What is the hundred thousands digit of 166809? 1 What is the ten thousands digit of 74603? 7 What is the tens digit of 178754? 5 What is the hundred thousands digit of 1945082? 9 What is the units digit of 3673584? 4 What is the thousands digit of 135969? 5 What is the units digit of 303927? 7 What is the millions digit of 11000253? 1 What is the ten thousands digit of 3588938? 8 What is the hundreds digit of 116142? 1 What is the tens digit of 5541? 4 What is the tens digit of 814301? 0 What is the thousands digit of 1792786? 2 What is the thousands digit of 5617531? 7 What is the thousands digit of 289883? 9 What is the hundred thousands digit of 275560? 2 What is the hundreds digit of 221209? 2 What is the ten millions digit of 23657038? 2 What is the hundred thousands digit of 501889? 5 What is the millions digit of 26958658? 6 What is the hundred thousands digit of 1248585? 2 What is the tens digit of 38110284? 8 What is the hundreds digit of 5156683? 6 What is the tens digit of 638596? 9 What is the units digit of 375796? 6 What is the ten thousands digit of 4604428? 0 What is the thousands digit of 40503? 0 What is the tens digit of 85065? 6 What is the tens digit of 2524797? 9 What is the tens digit of 1624671? 7 What is the hundred thousands digit of 3150491? 1 What is the units digit of 1019712? 2 What is the hundreds digit of 74857? 8 What is the tens digit of 208677? 7 What is the hundreds digit of 125600? 6 What is the hundreds digit of 8356852? 8 What is the thousands digit of 160988? 0 What is the tens digit of 3055272? 7 What is the units digit of 2183479? 9 What is the ten thousands digit of 8604040? 0 What is the tens digit of 236837? 3 What is the units digit of 2799322? 2 What is the ten thousands digit of 260952? 6 What is the hundreds digit of 1906992? 9 What is the thousands digit of 19608971? 8 What is the ten thousands digit of 210921? 1 What is the millions digit of 1165217? 1 What is the tens digit of 13076194? 9 Wh
{ "pile_set_name": "DM Mathematics" }
18. Let c = l - 1.4. What is c rounded to 4 dps? -0.0002 Suppose -2*f = f + 21. Let k(d) = d**3 + 6*d**2 - 7*d + 3. Let p be k(f). Suppose p*r + 70220 = -10780. Round r to the nearest 10000. -30000 Let q = 3.4273726 + -1.8273733. Let m = q + -1.6. What is m rounded to six decimal places? -0.000001 Suppose -4*u + 3*x - 679997 = 4*x, -4*u - 680003 = -x. What is u rounded to the nearest 100000? -200000 Let b be 0 + (-4200002*1 - -2). Round b to the nearest 1000000. -4000000 Let g = 63 + -107. Round g to the nearest 10. -40 Let o = -72 + 38. Let d = o - -33.9893. What is d rounded to 3 dps? -0.011 Let j = -94300881133300.54000053 + 94301736256229.24. Let t = -855122933 + j. Let b = t + 4.3. Round b to seven decimal places. -0.0000005 Suppose -2*x + 7*x + 15 = 0. Let w be 2272*(x - 112)*-1. Suppose -3*n - g + 402001 = 0, 5*g + w + 274715 = 4*n. Round n to the nearest ten thousand. 130000 Let c = -1.46132499 + 95.46133719. Let j = -94 + c. What is j rounded to six dps? 0.000012 Let b = -1507 + 1500.81. What is b rounded to zero decimal places? -6 Let z = 23.11 + -0.11. Let s = 22.9999945 - z. Round s to 6 decimal places. -0.000006 Let h = 174382 + -51382. Round h to the nearest 10000. 120000 Let u(a) = -7*a**3 + 4*a**2 + 2. Let l be u(3). What is l rounded to the nearest 10? -150 Let t = 5.600089 + -5.6. Round t to five decimal places. 0.00009 Let p = 108 + -98.8. What is p rounded to zero dps? 9 Let z be -20*(-4 + 9 - 3). Round z to the nearest one hundred. 0 Let i = -3.18 + -0.86. Let g = i + 3.7. Round g to one decimal place. -0.3 Suppose 28 = -5*m + m. Let b(j) be the first derivative of 11*j**3/3 + 5*j**2 + j + 1. Let r be b(m). Round r to the nearest 100. 500 Suppose -j = 4, 2*t - 5*j - 1260020 = -0*j. What is t rounded to the nearest one hundred thousand? 600000 Let b = -37.4 - -26.32. Let v = b - -11. Round v to 1 decimal place. -0.1 Let w = -1.8 + 2.24. Let r = 2.6 + -3. Let d = w + r. What is d rounded to 2 decimal places? 0.04 Let u = 734 - 112. Let i(p) = 16*p**2 - 8*p - 2. Let a be i(4). Let v = a - u. What is v rounded to the nearest 1000? 0 Let k = 8 + -10.5. Let m = k - -2.424. What is m rounded to two dps? -0.08 Let g = 7.2338 + -7.12. Round g to 2 decimal places. 0.11 Let m = 4.936 - 5. Let c = m - -0.06400049. What is c rounded to seven decimal places? 0.0000005 Let p = -5.106 + 0.006. Let s = p - -5.09967. What is s rounded to 4 decimal places? -0.0003 Let j = -7.0064 - -7. Round j to 3 decimal places. -0.006 Let c = 1.01436 + -0.114375. Let i = c + -0.9. What is i rounded to 5 decimal places? -0.00002 Let c = 5 - 5.48. Round c to one dp. -0.5 Let d = 1.9 + -1.866. What is d rounded to 1 decimal place? 0 Let h be 20/9 - (-4)/(-18). Let a(x) = -6*x**2 - 4*x - 2. Let o be a(-2). Let d be (-4)/h - (o - 2). What is d rounded to the nearest 10? 20 Let t = -23084 + 48313. Let i = t - 9429. What is i rounded to the nearest one thousand? 16000 Let l = -0.68174 - -0.68. Round l to 4 dps. -0.0017 Let v = 0.07 - -5.53. What is v rounded to the nearest integer? 6 Suppose -2*t + 3*y - 4*y = -10, 2*t = -3*y + 6. Suppose -3 = 3*g, -2*q + t*q = 5*g + 22400005. Round q to the nearest one million. 6000000 Let r = -2 - -4. Suppose -5*j - 30496 = z, -r*z + 6108 = -j - 0*z. What is j rounded to the nearest one thousand? -6000 Let t = -1070 - -464. Let s = -414 - t. Let c = -201.1 + s. What is c rounded to the nearest integer? -9 Let b = 14 + -2. Let t = -1197462.99962 + 1197451. Let q = b + t. What is q rounded to four decimal places? 0.0004 Suppose 0 = -3*n - n + 392000. Round n to the nearest ten thousand. 100000 Let v = 61 - 88. Let o = v + 9. Let y = o + 17.93. Round y to two dps. -0.07 Let d = -68 - -103. Let l = d + -35.00000078. Round l to seven decimal places. -0.0000008 Let v = 31 - 31.00054. What is v rounded to 4 decimal places? -0.0005 Suppose -v - 2*s - 101 = 0, 0 = -3*v - 2*v - 5*s - 480. What is v rounded to the nearest ten? -90 Let v = 43 + -19. Let u = 24.000021 - v. Round u to five decimal places. 0.00002 Let i = 936800 + -163456. Let y = i - 533344. What is y rounded to the nearest 100000? 200000 Let r(q) = 850*q. Let c be 247/(-26) - (-1)/(-2). Let i be r(c). Round i to the nearest 1000. -9000 Let y = 55.9856 + -56. What is y rounded to three dps? -0.014 Suppose -13199204 - 10203515 = -3*k + 4*c, 16 = -4*c. Let w = -4946783 + k. Suppose -2*f + w = 854118. Round f to the nearest one million. 1000000 Let t = 0.06 + -0.11. Let f = -0.0496 - t. Round f to 4 decimal places. 0.0004 Let g = -456.8344 - -457. Let r = -12 - -11.83. Let n = g + r. Round n to 3 dps. -0.004 Let k = 93 + -55. Let j = 90050.141 - 90088. Let a = j + k. What is a rounded to 2 dps? 0.14 Let o be (-2 - -3)*3 + 4199997. Suppose 3*j - m + 4*m = -o, 5*m = 0. What is j rounded to the nearest one million? -1000000 Let z = -3612.130054 + 3612.1. Let y = z - -0.03. What is y rounded to 5 decimal places? -0.00005 Suppose -87014 = 5*g - 28514. Round g to the nearest one thousand. -12000 Suppose 2*k = -2*k + 24. Let n(f) = 3 - 7 - 118334*f + 8. Let s be n(k). Round s to the nearest 100000. -700000 Let b = 2.6806 + 127.8146. Let u = 130 - b. Let g = 0.5 + u. What is g rounded to three decimal places? 0.005 Let v(f) be the third derivative of 5437*f**4/6 - 3*f**2. Let q be v(2). Suppose o - q = 3*a + 2*a, o - 26096 = 3*a. Round a to the nearest one thousand. -9000 Let l = 3.98 - -0.02. Let g = 5735692 + -5735695.9999952. Let p = g + l. Round p to 6 decimal places. 0.000005 Let x = 0.3 - 0.25. Let c = 0.144 - x. What is c rounded to two decimal places? 0.09 Let h = -111 - -110.688. What is h rounded to two decimal places? -0.31 Let h be ((-26352)/(-90))/(3/250). Round h to the nearest one thousand. 24000 Let r = -0.41 - 4.33. Round r to 1 dp. -4.7 Let m be 5000/(-5)*(2 - -2118). What is m rounded to the nearest 100000? -2100000 Let j(t) = -3100001*t**3 + 2*t + 1. Let h be j(-1). Round h to the nearest one million. 3000000 Let f = -0.05 + -23.95. Let x = f - -23.99999853. Round x to seven decimal places. -0.0000015 Suppose -2*o + 5*z = z - 12, -o - 3*z - 9 = 0. Let a(l) = -1203*l - 7. Let k be a(-3). Let y be k + (o - (3 - 1)). Round y to the nearest one thousand. 4000 Suppose -k + 3*i + 41995 = 2*i, -5*i + 126025 = 3*k. What is k rounded to the nearest ten thousand? 40000 Let o = 111.859 - 112. Let w = -0.267 - o. Round w to two decimal places. -0.13 Let d = -56 - -62.8. Let g = d + 1.2. Let n = g - 2.7. What is n rounded to 0 dps? 5 Suppose -3*u + 0*q - 8494047 = -5*q, -2*q = 5*u + 14156714. Let o = -1881344 - u. Round o to the nearest one hundred thousand. 1000000 Let i be 270639949/(-68) + (-6)/8. Round i to the nearest one million. -4000000 Suppose 4*s - o = -3 + 34, -5*o - 1 = 2*s. Suppose -2*l = -s*l + 515000. Round l to the nearest ten thousand. 100000 Suppose -6*x + 3*x - z + 11 = 0, 3*x - 2*z + 4 = 0. Suppose x*k - 4036 = 226. Suppose 669 + k = -q. What is q rounded to the nearest one thousand? -3000 Let h = 11 - 6. Suppose 0*j = -4*j + 3*v - 680000, -h*v = 0. Round j to the nearest one hundred thousand. -200000 Let h(p) = 20*p**2 - 10*p + 1. Let j be h(7). Let i = j - 241. What is i rounded to the nearest 100? 700 Suppose -3*i = 2*i - 15. Suppose 2*v - i*f = -6*f + 16, 5*v + f = 14. Suppose -228000 = -v*d - 2*d. What is d rounded to the nearest ten thousand? 60000 Let w be (-1)/((-22)/(-752)) + (-18)/(-99). Round w to the nearest 10. -30 Let d(b) be the second derivative of 19*b**4/4 - b**3/3 - 2*b**2 - 2*b. Let x(y) be the first derivative of d(y). Let c be x(-7). Round c to the nearest 1000. -1000 Let n = -87038573.34999981 + 87038573. Let z = 0.35 + n. What is z rounded to seven decimal places? 0.0000002 Let t = 14.99 - 14. What is t rounded to 1 decimal place? 1 Let k be (-16)/72 + (-15637810)/(-18). Suppose g - 1171233 = k. Round g to the nearest 100000. 2000000 Let c = -37 + 37.52. Round c to one dp. 0.5 Let y = -0.042 - -4.342. Let l = y - 4. Let u = l + 0.4. What is u rounded to the nearest integer? 1 Let o = -3.8 + 4.18. Let s = -0.29 - o. Round s to 1 dp. -0.7 Let z = 6 - 5.6. Let x = -31.6 - z. Let f = -31.99977 - x. What is f rounded to 4 decimal places? 0.0002 Let u(x) = -44997*x. Let q be u(-3). Suppose -4*f - 53988 = 2*t, -q = 5*t + f + 2*f. Round
{ "pile_set_name": "DM Mathematics" }
digit of 3779575? 5 What is the hundred thousands digit of 1610388? 6 What is the tens digit of 4599052? 5 What is the units digit of 915276? 6 What is the thousands digit of 1036122? 6 What is the hundred thousands digit of 368205? 3 What is the hundred thousands digit of 16589638? 5 What is the hundred thousands digit of 24512081? 5 What is the hundreds digit of 8973? 9 What is the millions digit of 5335469? 5 What is the units digit of 230643? 3 What is the tens digit of 207171? 7 What is the hundred thousands digit of 950327? 9 What is the hundred thousands digit of 104158? 1 What is the tens digit of 10418918? 1 What is the units digit of 15392826? 6 What is the units digit of 723111? 1 What is the hundred thousands digit of 14880795? 8 What is the thousands digit of 3945372? 5 What is the ten thousands digit of 35677905? 7 What is the tens digit of 481277? 7 What is the hundred thousands digit of 2079877? 0 What is the millions digit of 13714913? 3 What is the millions digit of 2189267? 2 What is the thousands digit of 817668? 7 What is the tens digit of 584387? 8 What is the hundreds digit of 6078853? 8 What is the units digit of 4078341? 1 What is the hundred thousands digit of 960512? 9 What is the units digit of 276167? 7 What is the hundred thousands digit of 215327? 2 What is the ten thousands digit of 660826? 6 What is the ten thousands digit of 4682256? 8 What is the hundred thousands digit of 384019? 3 What is the thousands digit of 617809? 7 What is the hundreds digit of 178505? 5 What is the hundreds digit of 1552635? 6 What is the tens digit of 3040142? 4 What is the hundred thousands digit of 13001766? 0 What is the tens digit of 103670? 7 What is the ten thousands digit of 435229? 3 What is the hundreds digit of 9532963? 9 What is the hundred thousands digit of 530184? 5 What is the thousands digit of 1689136? 9 What is the ten thousands digit of 20264? 2 What is the units digit of 824386? 6 What is the units digit of 251783? 3 What is the thousands digit of 6043811? 3 What is the ten thousands digit of 604487? 0 What is the tens digit of 1101364? 6 What is the units digit of 362973? 3 What is the tens digit of 36497? 9 What is the thousands digit of 1012072? 2 What is the hundreds digit of 23277769? 7 What is the millions digit of 16296479? 6 What is the units digit of 2375170? 0 What is the thousands digit of 2919701? 9 What is the thousands digit of 135971? 5 What is the millions digit of 17823260? 7 What is the thousands digit of 37983? 7 What is the units digit of 989573? 3 What is the units digit of 11620239? 9 What is the tens digit of 4876873? 7 What is the units digit of 1312065? 5 What is the millions digit of 17441585? 7 What is the thousands digit of 415635? 5 What is the ten thousands digit of 37685803? 8 What is the units digit of 1237895? 5 What is the hundreds digit of 7442185? 1 What is the ten thousands digit of 140895? 4 What is the millions digit of 1649501? 1 What is the tens digit of 34592? 9 What is the millions digit of 2469146? 2 What is the hundreds digit of 10257382? 3 What is the ten thousands digit of 347784? 4 What is the tens digit of 18112? 1 What is the units digit of 151755? 5 What is the hundred thousands digit of 8379123? 3 What is the hundreds digit of 694187? 1 What is the hundreds digit of 21151? 1 What is the hundred thousands digit of 217079? 2 What is the units digit of 2711766? 6 What is the hundreds digit of 145992? 9 What is the units digit of 1904297? 7 What is the units digit of 339758? 8 What is the hundreds digit of 396310? 3 What is the hundred thousands digit of 285320? 2 What is the hundred thousands digit of 165325? 1 What is the hundreds digit of 2438858? 8 What is the units digit of 6384699? 9 What is the ten thousands digit of 3456255? 5 What is the hundreds digit of 5554351? 3 What is the thousands digit of 465934? 5 What is the units digit of 4305463? 3 What is the tens digit of 4938059? 5 What is the hundreds digit of 7622976? 9 What is the tens digit of 136637? 3 What is the thousands digit of 145045? 5 What is the thousands digit of 380841? 0 What is the millions digit of 17749960? 7 What is the ten thousands digit of 576060? 7 What is the ten thousands digit of 27539268? 3 What is the tens digit of 10223667? 6 What is the ten thousands digit of 99647? 9 What is the thousands digit of 41223? 1 What is the thousands digit of 2288109? 8 What is the ten thousands digit of 3523443? 2 What is the thousands digit of 7787300? 7 What is the thousands digit of 212506? 2 What is the hundreds digit of 147422? 4 What is the units digit of 673839? 9 What is the hundred thousands digit of 1066238? 0 What is the tens digit of 1527771? 7 What is the ten thousands digit of 140224? 4 What is the tens digit of 409985? 8 What is the units digit of 2118051? 1 What is the thousands digit of 1940598? 0 What is the tens digit of 9633518? 1 What is the ten millions digit of 17720883? 1 What is the hundreds digit of 3564346? 3 What is the units digit of 350585? 5 What is the ten thousands digit of 1220939? 2 What is the units digit of 1457691? 1 What is the ten thousands digit of 138001? 3 What is the thousands digit of 6870121? 0 What is the ten thousands digit of 1341521? 4 What is the hundred thousands digit of 15573879? 5 What is the hundreds digit of 96483? 4 What is the thousands digit of 15344508? 4 What is the hundred thousands digit of 1349928? 3 What is the tens digit of 108051? 5 What is the tens digit of 1390241? 4 What is the units digit of 31457? 7 What is the hundreds digit of 7604023? 0 What is the tens digit of 21708457? 5 What is the hundreds digit of 496344? 3 What is the ten millions digit of 13865590? 1 What is the units digit of 5942892? 2 What is the units digit of 80597? 7 What is the thousands digit of 39899? 9 What is the tens digit of 4018854? 5 What is the hundreds digit of 11597830? 8 What is the units digit of 839806? 6 What is the hundred thousands digit of 199221? 1 What is the hundreds digit of 352718? 7 What is the ten thousands digit of 13661595? 6 What is the hundreds digit of 1958997? 9 What is the ten thousands digit of 14589222? 8 What is the millions digit of 2328365? 2 What is the thousands digit of 4385091? 5 What is the thousands digit of 8639765? 9 What is the units digit of 4797849? 9 What is the thousands digit of 2351466? 1 What is the hundred thousands digit of 169687? 1 What is the tens digit of 3600121? 2 What is the hundreds digit of 8127259? 2 What is the units digit of 158293? 3 What is the ten thousands digit of 2958581? 5 What is the tens digit of 6542126? 2 What is the tens digit of 704830? 3 What is the hundreds digit of 2848106? 1 What is the ten thousands digit of 208194? 0 What is the ten millions digit of 18370920? 1 What is the thousands digit of 6351196? 1 What is the ten thousands digit of 293089? 9 What is the hundred thousands digit of 3190715? 1 What is the tens digit of 76977? 7 What is the thousands digit of 144648? 4 What is the hundreds digit of 2228874? 8 What is the hundred thousands digit of 19106754? 1 What is the tens digit of 687558? 5 What is the thousands digit of 3062612? 2 What is the hundred thousands digit of 132526? 1 What is the ten thousands digit of 1711009? 1 What is the thousands digit of 696482? 6 What is the hundred thousands digit of 18070258? 0 What is the tens digit of 486288? 8 What is the units digit of 1875835? 5 What is the tens digit of 138036? 3 What is the units digit of 27315889? 9 What is the millions digit of 14676518? 4 What is the ten thousands digit of 1337801? 3 What is the tens digit of 101201? 0 What is the ten millions digit of 15110089? 1 What is the hundreds digit of 14263221? 2 What is the ten thousands digit of 239394? 3 What is the hundreds digit of 99855? 8 What is the hundred thousands digit of 284933? 2 What is the hundreds digit of 239407? 4 What is the hundreds digit of 712186? 1 What is the thousands digit of 642028? 2 What is the units digit of 19639015? 5 What is the thousands digit of 7157291? 7 What is the hundred thousands digit of 2670165? 6 What is the tens digit of 110122? 2 What is the thousands digit of 324636? 4 What is the thousands digit of 3695993? 5
{ "pile_set_name": "DM Mathematics" }
g (b) -4 (c) 1 (d) 0.5 a Let w = 78113.5 + -78114. Let x = -0.52 - -0.5. Which is the nearest to x? (a) -5/2 (b) 1 (c) w c Let i = -80.7 + 116. Let k = 35 - i. Let y(r) = -8*r. Let q be y(1). Which is the closest to -1? (a) k (b) q (c) 1 a Let c be 4*((-399)/(-18) - 22)/((-24)/9 + 1). Let v be ((-1)/5)/(2/(-5)). What is the closest to 0.1 in v, -3, c, 2/15? 2/15 Let p be (0 + 0)/(-17 - -16). Let k = -1.9 + -0.1. Let h be ((-6)/35)/(32/(-112)). Which is the nearest to -3? (a) h (b) p (c) k c Let c = 156 + -187. Let f = 30.87 + c. What is the nearest to -2/9 in f, 3, 1/4? f Suppose 7*f = 11*f + 3 + 13. Which is the nearest to -11? (a) 0 (b) -3/4 (c) f (d) 0.5 c Let u = -1178/1065 - -88/71. Which is the nearest to 12? (a) -0.8 (b) -3 (c) u (d) 2/9 d Let g = 51.13 + 3.87. Which is the nearest to 1? (a) 0.5 (b) 5 (c) g a Let k be (-12)/(-276)*1/1. What is the closest to 3 in -3, 0.2, k? 0.2 Let t = -7.3 - -7. Let x = -183.6 + 184. Let i = -25/7 - -93/28. Which is the closest to -2? (a) x (b) t (c) i b Suppose -3*q = -2*i + 4, 3*i + 13 = -q + 30. Let n be q/(-24)*(7 + -10). Which is the nearest to n? (a) 1/2 (b) 4/7 (c) 0.1 (d) -1/4 c Let s = -1.95 + -0.05. Let l = -89 + 88.8. Let f = -17 + 17.1. Which is the closest to s? (a) l (b) f (c) -3/4 c Let y = -61/468 - -1/52. Let f = -3595.7 - -3596.7. Which is the closest to 5? (a) y (b) f (c) 2/19 b Let l = 38 + -45.8. Let o = l + 8. Let t = -6/191 - 549/764. Which is the nearest to 0? (a) -2/3 (b) o (c) t b Let f = 38452 - 38446. Let m be (-4)/(-6)*(2 - -1). Which is the closest to f? (a) m (b) -0.1 (c) -4 a Let a = -0.6 + 1. Let k = 137 + -128. Let w be (2/(-18))/(3/k). What is the nearest to 0.3 in -2, w, a? a Let y be (-38)/(-6) - (35 - (12 + 14)) - -3. Which is the closest to y? (a) 0.5 (b) 2 (c) -50/3 a Suppose -25*r - r - 6*r = 0. Suppose 22*c - 144 - 54 = r. What is the closest to c in -3, -1/9, -0.3, 0.5? 0.5 Let a(m) = -53*m - 412. Let d be a(-8). What is the nearest to 0.2 in -2, -5/2, -2.2, d? -2 Let q be (-1)/(-4) + 40/(-160). Let v be ((-2)/36)/((-1)/4). Let n = 856/7 - 122. Which is the closest to n? (a) v (b) -2 (c) q a Let l be 12/18*(-180)/(-80). Which is the closest to l? (a) 1/4 (b) -0.76 (c) 3/2 c Let p = -10 + 7. Let q = 1122 + -1127. What is the closest to 2.4 in p, -0.1, q? -0.1 Suppose -404 = 4*x - g, -3*x + 5*g - 264 = 22. Let p = x + 147. Let j = -269/6 + p. Which is the closest to j? (a) 3 (b) 1/3 (c) 0.2 c Let y be 114/(-3458)*-7 - 1/13. Let n = 464/2007 - 2/223. Which is the nearest to n? (a) -2 (b) y (c) -1.3 b Let d = 3457.2 - 3457.3. What is the nearest to d in -0.5, 2, -4, -2/19? -2/19 Let l = -8308 + 8317. Which is the nearest to l? (a) -1/6 (b) -3/4 (c) -2 (d) 0 d Let w(s) = 49*s**2 - 1. Let j be w(-1). Suppose 32*z = 16*z - j. Which is the nearest to -1? (a) 4 (b) z (c) 1/3 (d) -1/6 d Let j be 18/333 + (-242)/370. Which is the nearest to 12/5? (a) j (b) 20 (c) 1/7 (d) -2/7 c Let g(z) = -z**2 - 6*z. Let o be g(-5). Let s be (-8)/(-2) - 272/17. Let n be (-9*2/8)/(s/32). Which is the nearest to n? (a) o (b) -0.1 (c) -0.3 a Let y = 1579 - 2434. Let f = y + 860. What is the closest to -3 in 2/13, f, 3, -3? -3 Let k = -6.52 + 2.52. Which is the nearest to -1/3? (a) k (b) -35 (c) -2 c Let s = 5197 - 5306. What is the closest to -2 in -5/4, 2/9, s? -5/4 Let s(p) = -4*p. Let h be s(-1). Let u(z) = -z. Let r be u(-5). Which is the nearest to -1? (a) r (b) h (c) -2 c Let d(v) = 5*v**2 - 2*v + 22. Let g be d(-9). Suppose -5*m + g = 140. Let f = m - 58. Which is the nearest to -3/5? (a) f (b) -5 (c) -2/15 c Suppose 5*w - 35 = -2*o, 3*o - w = -3*w + 25. Let x = -355/29 + 2427/203. Which is the nearest to -5? (a) o (b) 5/3 (c) 1/8 (d) x d Let y(k) = -2*k**2 + 16*k. Let x be y(8). Suppose 4*c = -20, -5*c + 13 = s - x*c. Let g be 24/36*6/s. What is the nearest to -1 in g, 1, -1? -1 Let t(f) = -2*f**3 + 7*f**2 - 3*f + 4. Let s be t(3). Let c be s*3/(-60) - 3/60. What is the closest to c in -4, -1, 5? -1 Let y = -8.3 + 4.3. Let f = 2038.8 - 2039. Which is the nearest to -0.1? (a) 0.1 (b) y (c) f c Let v = -655.4 - -655.9. What is the closest to -8 in -0.1, -1, 1/6, v? -1 Let l = -139 - -138.809. Let x = l - -0.091. Let r be 21/2 + 3 + 7/(-2). What is the closest to x in -0.5, r, 1? -0.5 Let y be (27/10 - 2)*-2. Let p = 9/10 + y. Let b = -424 + 424.5. What is the nearest to p in b, -1.8, 0? 0 Let l = 296/195 - 22/15. Which is the closest to l? (a) 0.1 (b) -2/15 (c) -0.3 (d) 0.3 a Let k = -1.43 + 1.03. Let j = -861 + 6025/7. Suppose -4*l - 20 = -4*x, 3*l = 3*x + x - 18. Which is the nearest to j? (a) x (b) k (c) 2 b Let y = 1077/4 + -2151/8. Let m = -9 - -5. Which is the nearest to -5? (a) 2/7 (b) y (c) 0 (d) m d Let i = -41373/17 + 2435. What is the closest to -2/5 in i, 0, 4? 0 Suppose 101*v + 77 = 94*v. Let f be (v/11)/((-1)/4*-1). What is the nearest to -3.4 in 3, 1, f? f Let l = 1677 - 21799/13. What is the closest to l in 11, 0.4, -2/7? 0.4 Let d = -13 - -14. Let r = -106031/27 - -3927. What is the closest to 1/3 in -5, d, r? r Let z be (-8)/(-3)*(-19)/((-570)/18). Let x = -31/10 + z. What is the closest to 0.3 in -0.02, x, 0.2, 1/4? 1/4 Let w = 0.011 - -0.089. Let l = 966 + -965.6. Which is the closest to w? (a) -0.1 (b) l (c) 3/2 a Let s = -278.6 - -277.6. Let y = 17/84 + 1/21. What is the closest to y in 0, s, 273? 0 Let u be 26/(-2704)*(-16)/(-6). What is the nearest to -4 in -2/9, u, 2/9? -2/9 Let b = 1 - 1. Let c = 67778 + -67793. What is the nearest to b in 5, c, 3, 2/17? 2/17 Let x = -25 - -25. Suppose 2*s + 2 + 8 = x, -s - 15 = 5*z. Let v be -3 + (-2)/(z + 5/3). What is the nearest to -2/5 in v, 1, 2/7? 2/7 Let f = -10 + 11.4. Let d = f - 1. Suppose -2*z + 5*j - 21 = 0, -2*z + 4*j - 3*j - 9 = 0. Which is the closest to d? (a) z (b) -5 (c) 2 c Let p = 8582 - 8576.929. Let f = -0.071 + p. What is the nearest to -3 in 1/3, -3/4, f? -3/4 Let v = -9 + 9. Let h be (-1 + v - -1)/2. Let t = 2.73 + 0.27. Which is the nearest to h? (a) -0.3 (b) t (c) 0.1 c Let w = 0.019 - 0.019. Let h be (67 - 68)/(2 + 2/2). Let r be 4*(2/(-28) + 0). Which is the nearest to h? (a) w (b) r (c) 0.3 b Let q = -992/9 + 110. Let u be 3/((-3)/5)*(-20)/175. Let z = -3434/13 - -264. Which is the nearest to -0.9? (a) z (b) u (c) q c Let o = -10412/19129 - 2/1739. Which is the closest to -1/7? (a) -1/6 (b) o (c) 3 (d) 5 a Let f = -12445/3 + 4149. What is the closest to f in -0.4, 3, -0.0381? -0.0381 Let j be 3/(-2)*((-480)/(-45) - 12). Suppose -4*x - 10 = -3*v, 4*x - j*v + 0 + 8 = 0. Which is the closest to x? (a) -0.4 (b) -4 (c) -1/4 (d) 6 a Let h(o) = o**2 + 15*o + 14. Let m be h(-14). Suppose m*b - 3 = -b. Let w be ((-11)/(-22))/(2/12). What is the nearest to b in 0.5, w, -2/9? w Suppose -4*j + 7*j - 5*p = -31, -5*j - p = 33. Which is the nearest to -1/9? (a) 5/3 (b) j (c) 1/2 c Let l = 1066/105 - 8633/840. Let n = -12 + 17. Let d = 0 + n. Which is the nearest to d? (a) -2 (b) l (c) 0.1 c Let t be (-1752)/(-2190) - (-54)/(-55). Let i = -12 - -8. Let u be 12*2/(-6)*-1. What is the nearest to t in u, 1, i? 1 Let u = -188 - -193. Let r = 16/25 - 158/325. What is the nearest to 0.2 in u, r, -1/4, -0.3? r Let z = -23131 - -20249. What is the nearest to 0.1 in -0.1, -3, z, 3/5? -0.1 Let s = 5.2 - 0.2. Let f = s - 0. Let l = -0.105 + 0.605. Which is the nearest to 0.2? (a) l (b) f (c) -0.3 a Suppose 2*u + 16 = -2*u - 2*t, 0 = 4*u + t + 16. Let x be 3 + 1 - (-19 + (19 - -2)). Which is the nearest to x? (a) 1/2 (b) u (c) 0 a Let g = 349.5 - 349.4. What is the nearest to g in 5, 52, -5, -0.2? -0.2 Suppose -5*b = 5, -6*b + 9*b - 12 = -3*h. What is the nearest to -2 in 0.2, h, -0.08, 1.9? -0.08 Let h = 1.7498 + -2.1498. Let w = 103 + -73. Let s be (-15)/(-9)*4/w. Which is the closest to 2? (a) 0 (b) s (c) h b Let x be 13038*(-3)/(-170) - (-1)/(-5). Let o = x - 230. Which is the nearest to 7? (a) 2 (b) o (c) 2/3 a Let y(h) = h**3 + 18*h**2 - 32*h - 251. Let s be y(-19). Which is the nearest to -1? (a) 0.031 (b) 1 (c) 1/2 (d) s a Let m = -598 - -6580/11. Let k = 0.064 + -0.664. Which is the nearest to -2/3? (a) m (b) -3 (c) k c Let z = -2.0496 + 1.9496. Which is the near
{ "pile_set_name": "DM Mathematics" }
d) -2 b Which is the smallest value? (a) 26/159 (b) 0.2 (c) 1/4 a Which is the fourth biggest value? (a) 1/5 (b) -0.1 (c) -0.2 (d) 1/9 c Which is the third biggest value? (a) -1/4 (b) 6 (c) -271 c What is the biggest value in -0.165, 3, -0.2? 3 What is the second smallest value in 2/3, -0.02, 3, 0.008? 0.008 What is the third smallest value in 4, 10, -4? 10 What is the smallest value in -2/7, -0.05, 0.2, 5, -2? -2 What is the fifth smallest value in -0.4, -0.3, 0.17, -5/7, 2/11? 2/11 What is the fourth biggest value in 31, -2/5, 4, 0.3? -2/5 What is the biggest value in -0.03, 0.3, -7/6, -3? 0.3 Which is the third smallest value? (a) -4/35 (b) -0.01 (c) -3/4 b Which is the second biggest value? (a) 199/6 (b) -1 (c) 4 c Which is the fourth smallest value? (a) 5 (b) -5 (c) -0.1 (d) 134 d What is the fourth smallest value in 1/116, -5, 1, -3/4? 1 What is the third biggest value in 1/5, 4, -2/25? -2/25 What is the smallest value in 3, 1, 0.2, 6, 0.05? 0.05 What is the second smallest value in -169, -1, -2/5? -1 Which is the fourth biggest value? (a) 2/5 (b) -4 (c) -0.4 (d) -4/3 b What is the third smallest value in -1/14, -2, 4? 4 What is the smallest value in 38, -1/10, 0.5, -2, -1/5? -2 Which is the second biggest value? (a) 16/3 (b) 0.5 (c) -0.07 b What is the biggest value in -1, -5, 13, -3? 13 Which is the third biggest value? (a) -1179 (b) 2 (c) -2 (d) 0 c What is the biggest value in 332, 1/7, 0.4? 332 What is the fourth smallest value in -4, 0, 0.17, 3? 3 Which is the biggest value? (a) -2 (b) 0.02 (c) 0.5 c Which is the second smallest value? (a) -0.1 (b) 0.4 (c) 1/3 (d) 1792 c What is the third biggest value in 19/10, -0.4, -1, 2/23? -0.4 What is the smallest value in -1/4, 10, -5, 2, -2/7? -5 Which is the fourth biggest value? (a) 2/5 (b) -0.01 (c) 1 (d) 16 (e) 0.3 e What is the third biggest value in -1.429, -15, 0? -15 Which is the second smallest value? (a) 23 (b) 0.19 (c) 0.1 b What is the smallest value in 0, -24, 2/5, 0.5? -24 What is the second biggest value in 1/2, -86, -0.5? -0.5 What is the second biggest value in -1/8, -4/19, 3? -1/8 What is the fourth smallest value in -0.1, -4, -0.02, 0.02? 0.02 What is the third biggest value in 1, 2/11, 7? 2/11 Which is the third biggest value? (a) -1 (b) -0.06 (c) 2/5 (d) -0.1 (e) 2.2 b What is the third smallest value in 2/3, 5, 2, 0.301? 2 What is the second biggest value in 2/3, -1/3, 38? 2/3 Which is the third biggest value? (a) 1697 (b) -2/19 (c) 4 b What is the third smallest value in 3, -0.4, -32/3, -4? -0.4 What is the third smallest value in -1085, -0.4, 3/4? 3/4 Which is the second biggest value? (a) -2/3 (b) 1 (c) -0.06 (d) -0.09 c What is the smallest value in 3, -0.4, 2/199? -0.4 What is the biggest value in -0.4, 0.2, -3, -26? 0.2 Which is the third biggest value? (a) 2/9 (b) 6 (c) 117 a Which is the third smallest value? (a) -4 (b) 0.5 (c) 0.79 (d) 2/17 b Which is the second biggest value? (a) 0.5 (b) -0.12 (c) 2/13 (d) 19 (e) 0.3 a Which is the second smallest value? (a) 3 (b) 4 (c) 40 b What is the fourth smallest value in 0.2, 3, -1, -0.2, -2/7? 0.2 Which is the third biggest value? (a) 0 (b) 1/10 (c) -24 (d) -4/11 d What is the second smallest value in -2, 3/4, -104.7? -2 Which is the third smallest value? (a) -4/7 (b) -2 (c) 2 (d) 1/5 (e) 1/4 d Which is the smallest value? (a) 19/7 (b) 2 (c) 1 c Which is the biggest value? (a) -2 (b) -3.5 (c) 0 c What is the third biggest value in -4, 15, 2, -0.1? -0.1 Which is the smallest value? (a) 1 (b) -3 (c) 4 (d) -1/8 b What is the fourth smallest value in 1, -1/8, -5/57, 2? 2 Which is the second biggest value? (a) -1/7 (b) -0.079 (c) -3 a What is the third biggest value in 28.3, -0.4, 2? -0.4 What is the third biggest value in 958, 1, 4/3? 1 Which is the second smallest value? (a) -0.2 (b) 3710 (c) 0.3 c What is the fourth smallest value in 2, -3/2, 0.117, 3? 3 What is the second smallest value in -7, -3, -2, 4? -3 What is the third biggest value in 0, -3/5, 1516? -3/5 Which is the second smallest value? (a) 2/3 (b) -2/13 (c) 2 a Which is the third biggest value? (a) -2 (b) 2 (c) 0.3 a Which is the second smallest value? (a) 0.4 (b) -5 (c) -1 (d) -42 b What is the second smallest value in 10, 0.1, -3, 9/4? 0.1 What is the fourth smallest value in 4/9, -0.5, 8, -6, 5? 5 Which is the second smallest value? (a) -1 (b) 1/11 (c) -5 (d) -0.4 a Which is the smallest value? (a) 2/3 (b) -2/7 (c) 320 b Which is the second biggest value? (a) 0.1 (b) -0.5 (c) 146/7 a Which is the smallest value? (a) 0.22 (b) -0.1 (c) 0.5 (d) 243 b Which is the biggest value? (a) 5 (b) 1.2 (c) 0.053 a Which is the second smallest value? (a) 1/15 (b) 3 (c) -0.1 a What is the second biggest value in -5, -3/7, 4, -2/7, 6? 4 What is the smallest value in -19, -2, 0.2, 4? -19 What is the third smallest value in -5, 0.1, 0.06, 13.1, 5/4? 0.1 What is the biggest value in 5, 84, -5? 84 What is the second biggest value in 0.4, -1/3, 2, -17, -0.4? 0.4 Which is the second smallest value? (a) 3/2 (b) -0.2 (c) -7/9 (d) -3 c Which is the smallest value? (a) 5 (b) 0 (c) -15 (d) 0.3 c Which is the biggest value? (a) 2/13 (b) 99 (c) -0.4 (d) -0.1 b Which is the third biggest value? (a) 2 (b) 2/5 (c) 4/23 (d) -0.16 c What is the second smallest value in -1/6, -1/3, 5, 2? -1/6 Which is the biggest value? (a) -0.07 (b) 6/7 (c) -4 (d) 0 b Which is the third smallest value? (a) 0.1 (b) 3 (c) 0.5 (d) 4/7 (e) -78 c Which is the fifth biggest value? (a) -0.94 (b) 0.04 (c) -0.4 (d) -0.3 (e) -1/6 a Which is the second smallest value? (a) 1 (b) 0.2 (c) -0.09 b Which is the second biggest value? (a) 5/2 (b) -34 (c) 2/13 (d) -1/4 c Which is the third smallest value? (a) -15 (b) -8/37 (c) 2/11 c What is the biggest value in -2, 0.6, -8? 0.6 What is the third biggest value in 11, -1/3, -160? -160 What is the third biggest value in 0.066, 2, 0.2, -7? 0.066 Which is the second biggest value? (a) -1/3 (b) 1/5 (c) -52 a Which is the smallest value? (a) 0.4 (b) -0.4 (c) -0.2 b Which is the biggest value? (a) 1/2 (b) 61 (c) -11 (d) 0 b Which is the third smallest value? (a) 0.2 (b) -0.045 (c) -2 a What is the fifth biggest value in 0, -2/9, -3/245, 3, 1/6? -2/9 Which is the biggest value? (a) -1/540 (b) -1/8 (c) 2/15 c What is the third smallest value in 0.5, 0.1, 4/3, 9? 4/3 Which is the second smallest value? (a) -3 (b) 0.5 (c) -0.21 (d) 1 (e) -2/7 e Which is the smallest value? (a) -1 (b) -5 (c) -68 (d) -4 (e) 0 c What is the second biggest value in 1/3, 2/253, -0.3? 2/253 Which is the fourth smallest value? (a) -4 (b) -15 (c) -0.01 (d) 1/2 d What is the biggest value in 1/4, -4, -13, 3? 3 What is the fourth smallest value in -4, -5, -2/3, 20? 20 What is the biggest value in 2/11, -2/3, -0.026? 2/11 What is the second smallest value in -0.03, 4, -120? -0.03 What is the fourth smallest value in 0, -4, 7, -0.01, -40? 0 What is the biggest value in -3, 0.3, -1, -63, 2? 2 What is the biggest value in 106, 1/6, -6? 106 Which is the smallest value? (a) -190 (b) -2 (c) 5 a What is the smallest value in 3, -0.4, 0? -0.4 Which is the third smallest value? (a) 0 (b) 850 (c) 5 b What is the third smallest value in -1, 1, 18, -4? 1 What is the smallest value in -0.2, -1, 4, -5/37? -1 Which is the fourth biggest value? (a) 5 (b) -0.1 (c) 0.139 (d) 7 b Which is the second smallest value? (a) -3.7 (b) -0.3 (c) 2 b What is the fourth biggest value in 0.13, -0.02, -1, -4? -4 Which is the third biggest value? (a) 6/7 (b) 3/8 (c) 243 (d) 1/2 (e) 5 a What is the biggest value in -0.372, 0, 5/4? 5/4 Which is the smallest value? (a) -1.7 (b) -0.5 (c) -12/5 c What is the third biggest value in 2908, 3, 5, -5? 3 What is the third biggest value in 0, 2, -1/7, 5? 0 Which is the biggest value? (a) 0.07 (b) -1 (c) 5/2 (d) -5 c Which is the second biggest value? (a) 14 (b) 0 (c) 5 (d) 1/2 c Which is the smallest value? (a) -0.04 (b) 7 (c) 0.4 a What is the second biggest value in 1, -26.2, -1/2? -1/2 Which is the third biggest value? (a) -3 (b) -3/2 (c) 0.3 a What is the third smallest
{ "pile_set_name": "DM Mathematics" }
What is the closest to 0.08 in 1, -6, -4/9, 14/9? -4/9 What is the closest to 8 in 3/8, 2/5, -10/19? 2/5 What is the closest to -2/7 in -2, -31, -2/5, 2/33, 0.1? -2/5 What is the closest to -4/25 in -3, 0, -15, -0.2? -0.2 What is the closest to -5/4 in 0.4, 0.5, -5, -1/178, -1? -1 What is the closest to -0.11 in -1, 35, -203? -1 What is the nearest to -16 in -1/4, 0.038, -8? -8 Which is the closest to -2? (a) 4 (b) 799 (c) 5 a Which is the closest to 1? (a) 3/2 (b) 9.7417 (c) -3 a Which is the nearest to -12? (a) 5/3 (b) -5 (c) 10 b What is the nearest to -0.2 in -0.2, 4, -22/35? -0.2 What is the nearest to -1 in -2, 2, 3, -32/11, -1? -1 What is the nearest to 1.6 in 0.5, 0.3, 10, 7? 0.5 Which is the nearest to 587? (a) -1/6 (b) 1 (c) 2/7 b Which is the closest to 0.022? (a) -3 (b) 1/3 (c) 2/25 (d) 0.06 (e) 0 e Which is the closest to 1? (a) 0.81 (b) 1/4 (c) -0.4 (d) 0.3 a Which is the nearest to -0.5? (a) -29 (b) -2 (c) 0.5 (d) -0.55 d What is the closest to -772 in 0.3, 0.5, 2/9? 2/9 Which is the nearest to -1? (a) 4 (b) 0.2 (c) 2.407 (d) -0.5 d Which is the closest to 19/6? (a) -0.4 (b) 723 (c) -0.3 (d) -2 c Which is the nearest to -1/4? (a) 92 (b) 4/23 (c) -1 b Which is the closest to -3? (a) 0.24 (b) -3/2 (c) -1/4 (d) 3.8 (e) -2/3 b What is the closest to -1 in -0.6, -19, 3? -0.6 Which is the nearest to -2.62? (a) -4/3 (b) -24 (c) -4 (d) -1 (e) 5 a What is the nearest to 3 in -799, 2/7, 2, -2/5? 2 Which is the nearest to 1/3? (a) -1 (b) -1/3 (c) 6 (d) 112/3 (e) -0.3 e Which is the nearest to -6? (a) -2 (b) 33 (c) 2 (d) 5 (e) 2/131 a What is the nearest to -3 in 27/4, 1/3, -65, -10? 1/3 What is the nearest to -0.3 in 6, 355, -2.9? -2.9 Which is the nearest to 1/4? (a) 1/90 (b) 2/5 (c) -25 b What is the closest to 623 in 1/31, -0.4, 1, -0.3? 1 What is the nearest to -2/9 in -2/23, 2.7, 0.1, 3, 0.02? -2/23 What is the closest to 0.2 in 0.2, 5, 0.5, 0.04109? 0.2 What is the nearest to -260 in 0.5, -697, -1/5? -1/5 Which is the nearest to 0.05? (a) -0.01 (b) 5/2 (c) -0.51 a Which is the nearest to 0? (a) 1/3 (b) 14249 (c) -0.3 c Which is the nearest to -0.4? (a) 1/4 (b) 3/7 (c) 23 (d) -0.1 d Which is the closest to 0.1? (a) -1281 (b) -4 (c) -3 (d) 1/2 (e) -10 d What is the nearest to -11 in -4.24, -5, -0.08? -5 Which is the closest to 0.1? (a) -18 (b) -1/3 (c) 1/6 (d) 5 (e) 3 c Which is the closest to 0.2? (a) 0.4 (b) 1/4 (c) -13 (d) 114 (e) -2 b What is the closest to 1 in -3, -1, -774, -5, -1.1? -1 Which is the closest to -1? (a) 5 (b) -0.39 (c) 0.1 b Which is the closest to 10? (a) 332 (b) 0.2 (c) 58 b Which is the nearest to 1? (a) 0.07 (b) -1/4 (c) -25 (d) 0.3 d Which is the closest to 1/19? (a) 3.6 (b) 2/31 (c) 0.4 (d) -0.2 (e) 3 b What is the nearest to -5 in 21.6, -2, 0.3? -2 What is the nearest to -7 in -3/11, 0.1, 2.8, -1/67? -3/11 What is the nearest to 4 in 26.4, 2/5, -2/19? 2/5 What is the closest to -48 in 2/7, 67, -5, -2/13? -5 Which is the closest to -2? (a) -4.1 (b) -10.8 (c) 0.4 a Which is the nearest to 1? (a) 3 (b) -0.12 (c) -4 (d) -2/433 d What is the nearest to -6 in -4, 7, -0.5, 2? -4 What is the nearest to 2/9 in -0.4, 237, 5? -0.4 Which is the nearest to 23? (a) -109 (b) 0.1 (c) -1/3 b What is the closest to -4 in -2/9, 0.07, -5, -13, -1/3? -5 Which is the nearest to -0.8? (a) -1/8 (b) 8 (c) -25 a What is the closest to -0.1 in -0.07, -8.12, 0.1, 0.2? -0.07 What is the closest to -1.43 in -2, 1, -0.3, 67? -2 What is the nearest to 3/20 in 0.5, -18/53, 4? 0.5 What is the closest to 4 in -1.3, -1, 8, -1/7? 8 Which is the nearest to 15? (a) -11 (b) -23 (c) 0.03 c Which is the closest to -9? (a) -5 (b) -2 (c) -15 (d) -3/8 (e) -0.3 a Which is the nearest to -411? (a) 9/17 (b) -1/3 (c) 0.1 b What is the nearest to -1 in 890, 1/5, -5, -2? -2 What is the nearest to 231 in 2/59, -1, 5? 5 Which is the closest to -1.37? (a) 0.69 (b) 0 (c) 0.4 b What is the nearest to 22 in 201, 2/13, -7? 2/13 Which is the nearest to 2/3? (a) -13/6 (b) 1.5 (c) -25 b What is the closest to 1 in -2/3, 5, -3/8, 5005, 1/4? 1/4 What is the closest to 0 in -16/17, 2, -0.03, -2/23? -0.03 Which is the closest to 1/5? (a) -2 (b) 25.8 (c) -6/11 c Which is the nearest to -4.71? (a) -1/4 (b) -0.2 (c) 3 a What is the closest to -199 in 0.5, -0.1, -1, 0? -1 What is the closest to 2 in 3, -2, 0.4, -12, 3/37? 3 Which is the closest to -162? (a) 0.4 (b) 4/171 (c) -0.1 c What is the closest to 81 in -0.037, 0, 6, 0.3? 6 What is the closest to -0.2 in 19, 2/3, 2/13, -10? 2/13 Which is the closest to -2/21? (a) 0.01 (b) 3 (c) 19 (d) -2/5 a What is the nearest to 3 in 0.5, -76.78, 1/3, -1/11? 0.5 What is the nearest to -17 in 0.2, 14, -11, 2, 11? -11 What is the closest to 1 in 1.6, 0.3, 36, -8? 1.6 Which is the closest to 2/3? (a) -4/9 (b) 0.3 (c) -156 (d) 3 b What is the closest to -2 in -1, -5, 0.1, 18? -1 Which is the closest to -14? (a) -1/3 (b) -32/15 (c) -1/4 (d) -4 d What is the closest to -1 in -1, 83, 14, -0.3, 1/4? -1 Which is the closest to -2/9? (a) -1479 (b) -4 (c) -0.143 c What is the nearest to 2/7 in -0.2, 12, -1.21, 3, 4? -0.2 Which is the closest to 2? (a) 9 (b) 0 (c) 322/3 b What is the closest to -68 in 38, -4, 2/5, -1/5? -4 Which is the closest to -1/4? (a) 0.152 (b) -1 (c) 3 a What is the nearest to 1/3 in -3, 1/3, -131, 13, 2/9? 1/3 Which is the nearest to -2/115? (a) -2/3 (b) -3 (c) -1/22 (d) 0.34 c Which is the nearest to 3? (a) -1/5 (b) 0 (c) -1/4 (d) 2128 b Which is the nearest to 0.2? (a) 4 (b) -4 (c) 169 a Which is the closest to 4? (a) -4/3 (b) 2 (c) -0.2 (d) 48 b Which is the nearest to 0? (a) -2/9 (b) -0.4 (c) -1307 a What is the nearest to 0.8 in -2, -0.38, 2/11, -0.2? 2/11 What is the closest to -1 in 213, 90, -0.11? -0.11 What is the nearest to -2/3 in 0.5, -6, 1/4, -2/351? -2/351 What is the closest to 0 in 4/3, 47, -3.4, -2? 4/3 Which is the nearest to -5? (a) -18860 (b) -1 (c) -2/11 b Which is the closest to -0.13? (a) -0.4 (b) -4 (c) -0.3 (d) -6 c Which is the nearest to 6/13? (a) 0.06 (b) 4/5 (c) -671 b Which is the nearest to 2/5? (a) -1 (b) 5/2 (c) 15556 a What is the closest to -4 in 0, -0.6438, -4? -4 Which is the nearest to 0.2? (a) 21 (b) 3 (c) -1 (d) 0 d What is the closest to -43 in 2/5, -166, -5? -5 What is the closest to 1046 in 0.4, 5, -3, 3/2? 5 Which is the nearest to 2/3? (a) -2/85 (b) 2/27 (c) 0.1 (d) -0.3 (e) -0.5 c Which is the closest to 75? (a) 2/3 (b) 2 (c) -10 (d) 26 (e) -3/5 d Which is the closest to -0.006? (a) 2/79 (b) 6 (c) -4 a What is the closest to -2/5 in 5, -1/4, -5, -864? -1/4 Which is the nearest to -3? (a) 3/5 (b) -2.7 (c) 1/162 b Which is the nearest to 13? (a) 0.2 (b) -1/5 (c) 4 (d) 0.0477 c Which is the nearest to 53/3? (a) -2 (b) -1.8 (c) -4 (d) -1/4 (e) 5 e What is the nearest to -6 in -3/5, -1, 1/4, -2, -55? -2 Which is the nearest to -0.4? (a) 0 (b) -0.01 (c) -77 (d) 4 (e) 0.4 b What is the closest to -2/7 in 2/15, 2, 7642, 4/5? 2/15 What is the closest to -2 in -13/4, -1/4, 0.2, 0? -13/4 Which is the closest to 0.7? (a) 80 (b) 0.1 (c) 2/9 (d) -30 (e) 0 c What is the closest to 0.1 in 0.1, 4, 17, 1/14, 0? 0.1 What is the nearest to -62 in -4, -2, -3/7, 0.42? -4 Which is the closest to -0.13? (a) -27.4 (b) 0.3 (c) 2 b What is the closest to -5 in 2/31, -0.55, 5, -1, 4? -1 What is the closest to 25 in -1/6, 18, 0, 25, -2/5? 25 What is the closest to 0 in 50, 1/3, -2/5, -0.16? -0.16 What is the nearest to 2 in -3, 0.1, -5, 109, 19? 0.1 What is the nearest to -0.5 in -10, 1/40, -0.4, -5/3, 1/30? -0.4 Which is the closest to 2? (a) 5 (b) 0 (c) -25 (d) -2/7 (e) 1/2 e Which is the nearest to 0.1? (a) 8 (b) 2.4 (c) -9/4 (d) 0.2 (e) 0.6 d Which is the nearest to -0.05? (a) -0.5 (b) 26 (c) -3 (d) 5 a Which is the closest to 2/3? (a) -4 (b) 832 (c) -1 c What is the closest to -38 in 0, -7, -0.7? -7 Which is the nearest to -0.1? (a) -21/8 (b) 9 (c) -5 a What is the closest to -2/3 in -137, -2, 3, -3, 2? -2 Which is the closest to -1? (a) -6 (b) 16 (c) -6/11 (d) -4 c What is the closest to 1049 in -0.5, 1, -2? 1 What is the closest to -1/3 in -
{ "pile_set_name": "DM Mathematics" }
0) + (-99 - (25 - 127))? -33 Calculate (18 + -48 - -35) + 2 - (-5 + 1). 11 What is the value of 2 - (1 + -1 + -2) - 6? -2 (6 - 1) + (-116 + 92 - (8 - 27)) 0 4 - (-23 - (-2 - -11 - (41 + 25 + -43))) 13 Evaluate (-1 - 2) + -21 + (-8 - (-19 + -36 + 25)). -2 What is 6 - (129 + -57 + -13 + -5 + (-2 - -13))? -59 What is 1 - 4 - 8 - (56 - (26 - 0) - 92)? 51 Evaluate -67 - (-128 + -8) - (3 + -4 + 7). 63 What is the value of (3 - 2 - (2 + -3) - 16) + (-48278 - -48233)? -59 What is -10 + (-5 + (12 - (-22 + 7 + 7)) - 6)? -1 -16 + 1 + (-3 + -1 - (857 + -927)) 51 What is the value of 24 - (23 - (1 + 7) - (-2 + -6 - -16))? 17 -1898 + 1847 - (-79 + 1) 27 What is the value of (-64 - (13 - 9)) + 67 + (10 - -1)? 10 Evaluate -8 + -22 - ((112 - 101) + (1 - 24)). -18 What is 24 + (17 - 51) + (-5 - -14) + -72? -73 Evaluate 53 - (79 - (-37 - -100)). 37 Evaluate (114 + -62 - 124) + 56. -16 Calculate -213 + (358 - 112) - (-10 + 0). 43 What is -19 + (-30 - -76) + -16 + -55? -44 9 + -103 - (-1 - -5 - (-144 + 155)) -87 What is the value of -119 + 103 + 45 + -8 + 0? 21 What is (29 - (39 - -12)) + 63? 41 Calculate 12 + 3 + -7 - (-18 + 70) - -9. -35 Calculate 226 + -221 + -6 + (-4 - (-1 + 1)). -5 Evaluate 6 - (38 - 25 - -13) - -122. 102 Calculate -1 - 6 - (27 - (44 + (21 - 42) + -27)). -38 What is the value of 95 - 65 - (25 + -44 - -35)? 14 -49 - (23 + 72 + -129) -15 35 + (-87 - -55) + (-2 - (-2 - 62)) 65 What is -15 + 64 + (-25 + 17 - (-3 + 5 + -21))? 60 Calculate -4 - ((78 - 37 - -21) + -1 + -18). -47 What is (-301 - -283) + (15 - 0) - -52? 49 64 + 0 + -13 + (-37 + 28 - (-19 + 0)) 61 (5 - -6) + -10 + 24 + -14 + -8 + 5 8 What is 949 + -921 - (-14 - 3)? 45 What is the value of 119 + 22 + -35 + -23? 83 What is the value of 1 + 1 + 2 + -5 + -46 + -92 + 83? -56 What is 39 + -5 + (-16 - -3) + -17 + 45 + -16? 33 (-9 - 61) + (-26 - -62) -34 What is the value of (-1 + -1 - (97 - 92)) + (5 - (-7 + 99))? -94 What is 52 + -1 - (-451 - -440 - (-3 + -1) - 0)? 58 What is 17 + (-1 + 0 - (-2 - -1) - (-3 - -1))? 19 What is the value of 10 - (-43 - 65 - -213)? -95 Evaluate -19 + (7 - (4 - 19 - 87)) + -21. 69 What is the value of -4 - (-7 + (-3 - -25) + (-28 - -9))? 0 Calculate -3 - 3 - (-72 - (-16 - (22 + -17))). 45 What is (8 - (84 + 3 + -4)) + 16 + -5? -64 -11 + (9 - (-60 - (-14 + 4))) + 6 54 Calculate 2 + -5 - -43 - (-17 + (8 - (-31 + 24))). 42 -44 + -10 + (-23 + 15 + -3 - -9) -56 What is 68 + -4 + -2 + -22? 40 What is 11 + 2 - (-3 + (52 - 1) - -9)? -44 Calculate 60 - -4 - (-1 + -7) - 16. 56 What is the value of 26 + -85 + (-2 - 12) + (-9 + -2 - 2)? -86 What is (204 - 196) + (-54 - 1) - (-1 + 18)? -64 What is the value of 4 + (-18 - (94 - 128))? 20 Calculate 0 + 3 - (52 - 45 - -35 - -14). -53 Calculate -10 + -1 + -34 + 73 + -21. 7 Calculate -9 + -3 + 9 + (-16 - 3). -22 What is the value of -107 + -12 + 92 + 80? 53 Calculate -89 + (54 - -24) + 124. 113 What is -16 + (1 - ((0 - 0) + 135 + -143 + 0))? -7 29 - 0 - (54 + -45) 20 -42 - -19 - (-9 + (-1 - 38)) 25 Calculate -60 + 10 + (4 + -22 - (10 - 6)). -72 What is -13 + -103 + 72 + -11? -55 What is 1 - -2 - (-2 + 19) - -23 - (31 + -1)? -21 What is 7 - -44 - (-1154 - -1257)? -52 (-1 - -3 - (4 + -10)) + (210 - 243) + -6 -31 What is 0 - (-11 - -1) - (-25 + (63 - (64 - 25)))? 11 Evaluate (0 - (12 - 14)) + 16 - (10 + -1) - 47. -38 (-82 - (-59 - 68)) + -30 15 What is (12 - -7) + 3 - (60 + -44)? 6 (-156 - -190) + -19 + (-72 - (-1 + 2)) -58 What is the value of (2 - 9) + -9 - (8 - (-1 - (0 + -14)))? -11 Calculate -15 + (9 - -2) - (-3 + -11 + 12). -2 What is -1 + 25 + (24 + -45 - -59 - -33)? 95 What is 1 - 13 - (-26 + 1 - (-117 + 24 + 97))? 17 Calculate 54 + (6 - 6) + (-7 - -22) + -15. 54 Calculate -1060 - -990 - (-134 + 0). 64 Calculate 86 + (8 - 11) + 15 - -3 - 5. 96 Evaluate (156 - (107 + 1)) + 92. 140 (0 - 1) + 49 - (15340 - 15321) 29 Calculate -65 + 16 + -4 + (-38 - -23). -68 What is (-9 - (-6 + 1)) + 14 + (4 - 8) + 3? 9 What is the value of 4 - 0 - (15 + -3 + 52)? -60 (-1 - 3 - (-2 - 3)) + 62 + -9 54 Calculate (17 - (19 + -17)) + -75 + -17 + 4. -73 What is the value of -28 + -67 + 54 + 67? 26 What is the value of -283 - -306 - (-18 + -2 - 1)? 44 What is 1687 - 1701 - (-101 - 3 - -2 - (-4 - -4))? 88 What is the value of 8 - (-35 + (24 - -25))? -6 Calculate (92 - 37) + -41 - 16. -2 Evaluate 1 - (-25 - -15 - -14 - (-7 + (15 - 3))). 2 -126 + -10 - 23 - -11 -148 Calculate (9 - (16 - (6 + 11 + -5))) + 33. 38 Calculate (33 - 8) + (7 + (-5 - 5) - 0). 22 -5 + (11 - 6 - 17) + 19 2 Calculate -8 + ((-15 - -8 - -7) + -17 - 7). -32 Evaluate (-3 - 0) + 1712 + -1696 + -21 + -1. -9 Evaluate 162 - -81 - 315 - (-4 - (2 - 1)). -67 -14 + (-12 - -9) + 18 - -23 24 Calculate 555 + -559 + 0 + 6 + 18. 20 Evaluate 22 - 10 - (9 - -7) - (-29 - 17). 42 What is the value of 115 - ((-13 - (-3 - (-9 - -21))) + -6) - 10? 109 Calculate -26 + 26 + 102 + -45. 57 -32 + -245 + 266 + (-1 - 4) -16 Calculate -4 + -14 + -33 + (-4 - 0 - (-17 - -3)). -41 16 + 2 - (15 + (16 - (13 - -22))) 22 What is (-49 - 1) + (-23 - 2) + 70 + -129 + 80? -54 Evaluate 100 - (54 - (-134 + 116)). 28 What is -70 - (73 - 132) - (3 + (7 - 2))? -19 Calculate 13 + -3 - (-6 + 3 + -1 + (52 - 47)). 9 (-189 - -35) + 75 - -8 -71 What is the value of -39 + 8 + -12 + 4 + -44 + 51? -32 What is the value of 19 - (4 + 15 + 37)? -37 Calculate -50 - (-52 + 80 + -72). -6 Calculate -866 + 878 + (-4 - (0 + -4)). 12 Calculate 9809 - 9812 - (43 - -1). -47 What is the value of (141 - 176) + -65 + 36? -64 Calculate -2 + 7 + (-27 - -29 - (-1 - (-3 + -4))). 1 Calculate (16 - -35 - 49) + 75. 77 Evaluate -738 + 706 + -3 + -1. -36 Evaluate (-22 + -3 + 22 - 8) + 17. 6 (-4918 - -4917) + (0 - (0 - -17)) -18 What is (16 - -3) + -3 + 60 + (-4 - -9)? 81 (1 - -11) + 71 + -18 + -25 40 Calculate -14 + (0 - 13 - -4) + 10 + 2 + -73. -84 Calculate -5 - ((-5 - -16 - (-15 + 21)) + (0 - 0)). -10 -9 - (-78 + 194 + -115) -10 What is 1 + -2 - (-40 - (-59 + 61 - 91))? -50 What is the value of -9 - (-2 + (8 - 2) - (-4 - (-33 - -20)))? -4 Evaluate -72 - ((-477 - -524) + (1 - -1)). -121 Calculate 3608 - 3605 - (1 - (1 - -8)). 11 What is -2 - (-29 - (24 + -62))? -11 Evaluate -1 + (7 - 3) + (52 - 63). -8 (-48 - (4 + -32)) + -14 -34 What is the value of (-13 - (-7 - -4) - (52 + -23 + -41)) + -135? -133 Calculate -38 - (40 + (-2 - 13) - 20). -43 What is -5 + 36 - (1 + 13 - (53 + -49))? 21 What is the value of 465 + -491 + 6 + 3? -17 What is (-94 - (5 + -3)) + -332 + 332? -96 8 - 41 - (9 + 21 - 87) 24 (-61 - -26) + 5 + 67 37 27 + -37 + -25 - -82 47 Calculate -3 - ((2 - 9) + (-15 - (-24 + 11 + -71))). -65 What is the value of 78 - -8 - (8 - (-23 - -16))? 71 Evaluate -20 + (-20 - -5) + (2 - -2) + -12. -43 Evaluate 21 - (-19 + (18 - 6) + 22). 6 What is the value of 20 - (15 + 5 + 7 + -54)? 47 What is the value of 45 - ((63 - 141) + 72)? 51 What is the value of (-66 - -102 - 17) + (2 - 20)? 1 Calculate (43 - -1) + -3 + 13 + (-12 - (10 - 16)). 48 What is the value of 42 - (10 - (15 + -60))? -13 262 - 220 - (117 + -11) -64 What is -184 + 240 - (-24 + 14 - -21)? 45 What is (-10 - -6) + (-6 - (-5 - (-12 + 44)))? 27 What is the value of -38 + 25 - -18 - (-2 + 20)? -13 What is the value of 93 - 62 - 37 - (-73 - (2 - (-2 - -1)))? 70 What is the value of 339 + -309 + -3 + 46 + (-10 - 0) + -1? 62 (10177 - 10191) + -1 + (-2 + 3 - 53) -67 -22 + 21 + 4 - (38 + (-1 - -1)) -35 What is the value of -1 - 2 - (13 + 4 + -16) - (-18 - 85)? 99 Calculate -102 + 213 - 181 - -4. -66 10 + -7 - (54 + -86) 35 Calculate -9 + (-22 - -14) + 14 - -13 - (-3 - -46). -33 (4 - 12 - -12) + 33 - (-10 + 0 - -5) 42 Calculate -91 + 0 + (427 - 378). -42 What is the value of (136 - 130) + 11 + 2 - (46 + -2)? -25 What is (-38 - (22 + -62 + 19)) + -17 + -2? -36 What is the value of (79 - 24) + (-46 - (-46 - -11))? 44 What is 948 - 846 - (19 + 2)? 81 What is the value of 21 - 12 - (-15 + -15 - -16)? 23 Evaluate (0 - 16 - (-91 + 67)) + 38 + 5 + -2. 49 Evaluate 1 - 2 - (-16 - 201 - -136). 80 What is the value of 0 - -69 - ((-16 - (52 - 41)) + 36)? 60 Evaluate -17 - -35 - (415 - 398). 1 What is the value of -3 + (27 - -1) + -870 + 775? -70 What is the value of -5 + 6 - -71 - (1491 + -1466)? 47 8 + -12 + -51 - (-18 + 7 + -3 - -2) -43 Calculate 0 + -63 + (-216 - 25) + 236. -68 What is 192 + -220 - (7 + -4 - -1
{ "pile_set_name": "DM Mathematics" }
lve -u = -4, 18*b + 3*u - 11 = 17*b for b. -1 Solve 3*n - 3*j - 6 = 0, 3 - 1 = 3*n - 5*j for n. 4 Solve 37 = 2*t - c + 31, -5*c + 6 = -t for t. 4 Solve -z - 12 = 3*k, -k + 0*z - z - 4 = 0 for k. -4 Solve 2 = -o + 2*g - 3, 5*o - 2*g = -25 for o. -5 Solve 3*p - 2*d + 14 = 0, 3*p + 5*d - d + 8 = 0 for p. -4 Solve -4*i = -2*z, -z = 2*i - 10 + 2 for z. 4 Solve 7*j = y + 10*j - 25, 4*y - 3*j + 5 = 0 for y. 4 Solve 3*x - 11 = z, -3*x - 148*z + 21 = -151*z for x. 2 Solve -5*o + 5 = -2*t, -3*t + 16 - 13 = -4*o for o. 3 Solve 9 = -2*r - t, 4*r - 32*t = -37*t - 33 for r. -2 Solve -6*t + 4*t = -5*q + 21, 2*q - 16 = -3*t for t. 2 Solve -3*a = 4*s + 13, -4*s - 4*a - 8 = -s for s. -4 Solve 0 = 13*j - 8*j - 10, 10 = 2*f + 5*j for f. 0 Solve 4*d + 3 = 3*n, 0 = 2*d + 4*n - 2*n - 2 for d. 0 Solve 2*r - r = o + 5, r - 15*o - 19 = 0 for r. 4 Solve 16 = 2*u + 2*f, -2*u - f + 12 = -0 for u. 4 Solve 64*l - 69*l + u = 7, -5*u = l - 9 for l. -1 Solve -17*r + 11 = -13*r - 3*f, 0 = -5*r - f + 28 for r. 5 Solve 0 = -7*m + 8*m - 5, -3*m = 5*y + 5 for y. -4 Solve 9 = -3*a - 4*n, -a - 4*n + 15 - 26 = 0 for a. 1 Solve -5*z = -5*t, 2*z + 9*t = 4*t + 7 for z. 1 Solve -3*u + 8 = 5*v - 11, 0 = 3*v - 5*u - 25 for v. 5 Solve -3*l + 10 = 1, -i + 5*l - 19 = 0 for i. -4 Solve 11 = 2*j - k + 2, 19 = 3*j + 4*k for j. 5 Solve -q + 8*i = 11*i + 2, -5*q - 10 = -2*i for q. -2 Solve -4*i + 16 = 5*n - 33, 2*n = -2*i + 22 for n. 5 Solve -3*u + 5*p - 35 = p, -p = 4*u + 15 for u. -5 Solve x - 8 = -5*f, -3*x - 2*f + 8 = -x for x. 3 Solve 0 = 3*u + f - 2*f + 19, 0 = -3*f + 12 for u. -5 Solve 25 = 4*y - 3*t + 8, -t = 5*y - 26 for y. 5 Solve 2*l = -h - 26 + 12, -5*l - 4*h = 41 for l. -5 Solve d - 5*d - 4*k = 24, -4*k = -d + 14 for d. -2 Solve 1 = v + 4*o + 8, 2*v + 3*o = -9 for v. -3 Solve 4*r + 6 = 5*r + 2*k, -4*r - 24 = -4*k for r. -2 Solve -8*q = -4*q - 5*j + 1, 5*j = -15 for q. -4 Solve a + 3*l = 2, -7 = 15*a - 16*a + 2*l for a. 5 Solve -2*b = -8, -164*z + 2*b - 10 = -162*z for z. -1 Solve -5*w - 3*c = -7*c + 32, -3*w = 4*c for w. -4 Solve -3*m - 4*l + 14 = 0, -6 = -6*m + 4*m - l for m. 2 Solve -17 = -3*m + g, -3*m + 5*g = -30 - 7 for m. 4 Solve 5*y - 26 = z, 3*y = 2*z - 85 + 102 for z. -1 Solve -5*k = 2*x + 5 + 4, 0 = k + 2*x - 3 for k. -3 Solve 3*b = 4*z + 3, 6 = 3*b - z + 3 for b. 1 Solve -3*k - 6 = -3*i - 9, -k - 17 = 5*i for k. -2 Solve -4*x + 5*u + 5 = 0, -2 = -0*x + 4*x + 2*u for x. 0 Solve 4*h - 2*p - 12 = 0, -7*p = -3*h - 6*p + 11 for h. 5 Solve -q + 5 + 9 = 6*k, 4 = -q for k. 3 Solve -o + 3*a + 5 = 0, -3*a + 6 = o - 7*a for o. 2 Solve r - y - 4 = 0, y - 6 - 2 = -2*r for r. 4 Solve -4*u = 0, -3*c - 20 - 25 + 36 = u for c. -3 Solve 2*h + 7*l - 32 = 0, -5*h = -2*l + 9 - 11 for h. 2 Solve 9*c - 12*c - 4*h = 0, -6*c - h - 21 = 0 for c. -4 Solve -4*t = -2*a, -t + 2*a - 18 = -3*a for t. 2 Solve 11 = g - 4*j, -g = -3*j - 0*j - 7 for g. -5 Solve -10*d = -7*d - 9, 5*y - 4*d = -7 for y. 1 Solve -4*j + k - 7 = -6*j, -2*k = -4*j - 6 for j. 1 Solve -3*w - 2*z = -7*z + 19, -2*w + 3*z = 12 for w. -3 Solve 3*c + l = 20, 8*c - 4*l + 30 = 10*c for c. 5 Solve b + 7 = 2*j, 2 = -4*j + 22 for b. 3 Solve -2*m + 6 = -5*i, -4*m - 4*i + 5*i + 12 = 0 for m. 3 Solve -24 = 3*o - 5*j, 2*j - 5*j = 2*o - 3 for o. -3 Solve -4*n - 3 = -2*x - n, -4*n = x - 7 for x. 3 Solve -4*q + r + 25 = 0, -7*q + 2*r = -9*q for q. 5 Solve -4*y - 4*n + 12 = 0, -24*y + 25*y + 3*n - 9 = 0 for y. 0 Solve -5*y = -w - 28, -5*y + 17 = -y + w for y. 5 Solve 3*a = 2*c, a + 4*a = -c for a. 0 Solve -4*u + 35 = -13*d + 10*d, 5*u - 20 = -d for d. -5 Solve 0 = 2*c - 4*u - 17 - 9, 2*u + 19 = 3*c for c. 3 Solve -5*d - 2*r - 27 = 0, 17*r - 22*r = -3*d - 10 for d. -5 Solve -2*i = -112*k + 110*k + 10, 0 = 5*i + k - 29 for i. 4 Solve -73*j = -75*j - b - 3, 0 = 5*b - 15 for j. -3 Solve 0 = -3*v - 6 - 0, 6 = -h - 5*v for h. 4 Solve -11*p + 13*p + 24 = 5*g, 2*p + 8 = g for g. 4 Solve 2*b = -4*z + 18, 0 = -5*z + 2*z + 4*b - 3 for z. 3 Solve 0 = 2*z - 4, 13*k - 11*k = -z - 8 for k. -5 Solve 0 = 3*l + f + 15, l - 47*f + 42*f - 11 = 0 for l. -4 Solve 0 = -f - 3*u - 2, 0 = 232*f - 229*f - u - 4 for f. 1 Solve 3*o = 2*o + 3*c, 5*o - 11 = 4*c for o. 3 Solve -5*n - 19 = -3*t, 0 = -2*n - 2*t + 5*t - 13 for n. -2 Solve b - 11 = -5*s, -s + 2 = -5*b + 5 for s. 2 Solve 2*x - 3*f - 9 = 0, 3*f = -4*x + 9 - 0 for x. 3 Solve 0*d + 2*d = -z, 4*d - 5*z = 0 for d. 0 Solve 23*t = -2*n + 26*t + 4, 0 = 2*n - t - 4 for n. 2 Solve -5*z = -2*l + 7, z + l - 306 + 313 = 0 for z. -3 Solve -4*j + 3*i - i + 20 = 0, -j + 19 = -4*i for j. 3 Solve 11 = -4*r + 3*l, 12 + 3 = -5*l for r. -5 Solve 0 = -11*u + 14*u - 3*c - 12, 2*c = 2 for u. 5 Solve 5*q + 5 = 4*s + 11, 0 = -2*q + 4*s for q. 2 Solve 5*q - 4*n - n = 25, 2*q + 2 = -4*n for q. 3 Solve 0 = 4*z + y - 13, 5*y + 23 = -3*z + 5*z for z. 4 Solve -x = 5*v - 25, 58*v - 56*v + 2*x - 18 = 0 for v. 4 Solve -2*u - 76 = -4*k - 72, 0 = -3*k + u + 1 for k. -1 Solve 0 = 4*n - 20, 0*n = -3*f + 5*n - 22 for f. 1 Solve -20*i - 24 = 3*b - 23*i, 2*i = 4*b + 20 for b. -2 Solve 7 = -3*j + 2*j - 2*n, 0 = -5*n - 5 for j. -5 Solve -t - 2 = 0, -3*t - 18 = -4*b - 0*t for b. 3 Solve 2*d + 21 = -5*s + 4*d, 3*s = d - 13 for s. -5 Solve p - 20 = -4*b, p = 5*b + 23 - 48 for p. 0 Solve -3*n = 2*i - i + 5, 3*i + n + 15 = 0 for i. -5 Solve z - 15 = 2*v, -4*z + 0*z = -v - 18 for v. -6 Solve i + 3*c - 6 = 0, -i - 34*c = -38*c + 15 for i. -3 Solve -2*g = -5*b + 2, 3*g = 4*b - 3 + 7 for g. 4 Solve g - 15 = -3*x - 0*x, 5*x - 11 = 3*g for g. 3 Solve 2 = c, g - 5 - 8 = -4*c for g. 5 Solve -17 - 3 = -p + 4*a, 4 = 5*p + 4*a for p. 4 Solve 0 = s - 4*k + 3, 5*s + 0*k = -5*k + 10 for s. 1 Solve 3*u + 4*r - 20 = 0, -67 = 4*u + r - 85 for u. 4 Solve 3*l = -4*z + 6, 5*l + 0*z = -5*z + 5 for l. -2 Solve 0 = -3*t - i - 5, -2*i - 1900 = -1890 for t. 0 Solve -2*b + 3*b = 2, 1 = 3*r + 5*b for r. -3 Solve -2*s + 4 = -3*r, -s + r = -0*s - 1 for s. -1 Solve -4*p - 3*u = 1, u + 3*u = -p - 10 for p. 2 Solve -3*w - 3*g = -24, 19*w + 4*g + 3 = 22*w for w. 5 Solve -16*m + 11*m = 3*p + 32, 40 = -5*m - 5*p for m. -4 Solve 3*q - 15 = 5*x, -2*x = -2*q - 0*q + 6 for q. 0 Solve -2*f + 16 = 5*x, 0 = -x + 2*f + 13 - 17 for x. 2 Solve -4*u = -5*s + 28, 4*u = -8*s + 6*s for s. 4 Solve 0 = 3*j + 7 + 8, 10 = -3*m - 2*j for m. 0 Solve 0 = 4*o + 2*h - 2, -2*o + 10 = -7*o - 5*h for o. 3 Solve 3*p + r + 1 = 0, 97 - 99 = -r for p. -1 Solve -2*p + 3*d - 7 = 0, 0*p + d - 29 = 4*p for p. -8 Solve 2*m - 5*a + 29 - 15 = 0, -m - 9 = -3*a for m. 3 Solve 5*x - 4*c + 8*c = -25, -22 = 2*x + 4*c for x. -1 Solve 71*x = 76*x - o - 17, -5*x = -2*o - 19 for x. 3 Solve -2*p - 4 = -2*r, 3*r - 36 = -2*p - 30 for r. 2 Solve -t = 4*i - 16, 5*t - 6 = 5*i - 1 for i. 3 Solve -4*l + 5*a = 31, 16*l + 3*a - 5 = 15*l for l. -4 Solve -6*j = -3*j + 2*b - 11, 2*b + 4 = 0 for j. 5 Solve 9*i - 3*z + 40 = 4*i, 4*i = -4*z for i. -5 Solve 0 = 2*w - 2*x + 4, 5*x = 2*w + 2*x + 1 for w. -5 Solve -8*t + 40 = -5*k - 4*t, -t + 5 = 0 for k. -4 Solve 2*f = -3*n - f + 12, 2*n - 2 = 4*f for n. 3 Solve 5 = -4*f - h + 1, -5*f - 5*h = 5 for f. -1 Solve n = -4*a, -3*a = -7*a + 5*n for a. 0 Solve -5*j + 3 = h, 2*h = -2*j + 4 + 2 for j. 0 Solve 3*u + 9 = 0, 0 = 3*w - 4*u - 2 + 5 for w. -5 Solve -a + 16 = 2*p + 1, 10 = p + a for p. 5 Solve 1 = -b, -5*j + 4*b = 1 + 5 for j. -2 Solve 829*g - 827*g - 9 = 3*f, 2*g = f + 3 for g. 0 Solve 4*m - 2 = -z, -7*m - 3*z = -8*m + 7 for m. 1 Solve 61*t = 56*t + w, -5*t - 2*w = 0 for t. 0 Solve -11 + 0 = -2*w - 5*n, 4*w - 2*n = 10 for w. 3 Solve -5*n + 2*r = -7, -10 = -5*n + 6*r - r for n. 1 Solve -12 = 4*i, -27*i = -5*k - 29*i + 4 for k. 2 Solve -89*n + 94*n = 5*k - 10, -3*k = -n + 4 for k. -3 Solve -2*f + o - 9 = 0, 5*o = 12*f - 17*f + 15 for f. -2 Solve -6*z + 3 = c - 9*z, 3*c + 5*z - 9 = 0 for c. 3 Solve r = -5*f - 10, 10 = 4*f + 4*r + 2 for f. -3 Solve -4*d = -5*q - 22, 12 = -2*q - q + 2*d for q. -2 Solve -4*u - 18*h = -13*h + 24, -u - 2*h - 9 = 0 for u. -1 Solve -q = -5*z - 7, -2*z = -3*q - z + 7 for q. 2 Solve -15 = -74*v + 75*v - 2*q, -2*q = -10 for v. -5 Solve 5*a - 3*i = -11, 278*i + 28 = -4*a + 274*i for a. -4 Solve -3*c + 20 = 2*d - 0*c, -5*d + 2*c + 12 = 0 for d. 4 Solve 2*u + r = -3 + 4, 4*u - r = 17 for u. 3 Solve x + 2 = n, -6*x - 7 = -x - 2*n for x. -1 Solve -g - 3*g + y + 9 = 0, 2*y = 3*g - 8 for g. 2 Solve
{ "pile_set_name": "DM Mathematics" }
uppose -3*o + 3*s = -9261, -3*s + 2770 = o - 329. What is the hundreds digit of o? 0 What is the hundreds digit of 2/((-20)/15)*-514? 7 Let o = -107 + 109. Suppose 0 = -s + o*y + 12, 4*y + 18 = s + 8*y. What is the tens digit of s? 1 What is the tens digit of 1/((-1226)/614 + 8/4)? 0 Let m be (7/(-14))/(1/(-2)). What is the tens digit of 1 - (1 - m) - -322? 2 Let f(n) = n**3 + 11*n**2 + 12*n + 24. Let s be f(-10). What is the tens digit of s/8 - (-101)/2? 5 What is the units digit of 8 + -4 - (-5 - 0)? 9 Suppose 8*i - 3*i - 45 = 0. Suppose -i*r + 42 = -102. What is the tens digit of r? 1 Let u(c) = 6*c**2 - 5*c + 12. Let o(j) = -3*j**2 + 2*j - 6. Let g(r) = -9*o(r) - 4*u(r). What is the tens digit of g(4)? 6 Let k(i) = -i**3 - 26*i**2 - 68*i - 30. What is the units digit of k(-25)? 5 Let m(s) = -5*s - 49. What is the units digit of m(-14)? 1 Suppose 130 + 102 = -4*t. Let n = t + 97. What is the tens digit of n? 3 Let c = -2 - -10. Let o be -3*c/(-84)*7. Suppose o*w = 26 + 12. What is the units digit of w? 9 Let b be (-1 - -1)/(-2) + 10. Let n = 10 + -8. What is the units digit of b/n + 1 - -1? 7 Let y = 4 + 1. Suppose 2*s - 8 = 0, y*f + 0*s = 4*s + 309. What is the units digit of f? 5 Suppose 4*u + 3250 = 5*i + 3*u, 0 = -5*i - 5*u + 3220. Suppose l - 3*p = 231, -5*l - 2*p + i = -2*l. What is the tens digit of l? 1 Suppose 14 = w - 5*f, 3*w - 2*w - 21 = -2*f. Let u = w - 17. Suppose -3*p - v + 93 + 22 = 0, 3*p - 130 = u*v. What is the tens digit of p? 4 Let f(t) = 40*t**2 - 20*t - 140. What is the tens digit of f(-6)? 2 Let p(j) = 136*j**2 + 6*j - 13. What is the thousands digit of p(3)? 1 Let x(z) = -z - 11. Let w be x(-12). Let a = 4 - w. Let h = 18 + a. What is the tens digit of h? 2 Let l = 18 - 18. Let j be (2 + -2)/(l - 2). Suppose j = -o + r - 3, o + 15 = -0*o + 4*r. What is the units digit of o? 1 Suppose 771 - 2520 = -3*b. What is the units digit of b? 3 Let c(n) = 16*n**2 - 13*n - 7. Let i be (-66)/(-14) + 34/119. What is the units digit of c(i)? 8 Let v = 1 + 11. What is the tens digit of 58/2 + -12 + v? 2 Suppose 0 = -f + 97 - 32. Suppose f*j + 159 = 68*j. What is the tens digit of j? 5 Let u(t) = t**3 - 6*t**2 + 5*t + 14. Suppose -y + 84 = -3*q + 2*y, 0 = 4*q + 3*y + 133. Let v = -25 - q. What is the tens digit of u(v)? 4 Let j(v) = -v. Let a(y) = y - 8. Let k(g) = -a(g) - 5*j(g). What is the tens digit of k(4)? 2 Suppose -5*a - 3*t = -7*a + 81, 0 = a + 3*t - 63. What is the units digit of a? 8 Suppose 28 = 2*n - 3*v, 3*n - 48 = -0*v + 3*v. Suppose -356 = -6*w + w + f, 0 = -5*f + n. What is the units digit of w? 2 What is the tens digit of (1 + -3)*23/(-92)*3222? 1 Let w be 36/15 + (-8)/20. Let u be -1 - -3 - 4 - -2. Suppose 4 = w*a - u. What is the units digit of a? 2 Suppose -3*z - 2*t = 46 - 259, -z = -5*t - 71. Suppose n + 4*i - 24 - z = 0, 0 = -4*n + 5*i + 359. What is the units digit of n? 1 What is the units digit of 12/((0 - -1)/(1030/15))? 4 Let d(m) = 132*m**2 + 4*m + 4. What is the tens digit of d(2)? 4 Let w = 329 + -610. Let k = -160 - w. What is the units digit of k? 1 Suppose 0 = -5*z - 130 - 210. Suppose -57 = q + 2*m, -2*m + 7*m + 25 = 0. Let a = q - z. What is the tens digit of a? 2 Suppose -2*j - q + 764 = 0, 0*q = -3*j + 4*q + 1146. What is the tens digit of j? 8 Suppose 875 + 785 = 5*h. What is the units digit of h? 2 Suppose -5*d - 15 = 5*g - 60, 4*d - g - 21 = 0. Let q = -6 + d. Suppose 6*y - 4*y - 36 = q. What is the tens digit of y? 1 Let i = 37 - 25. Let a = -12 + i. Suppose a = -y - 4*l - 1, l = 2*y - 4*l - 37. What is the units digit of y? 1 Let v be (-2)/(-4)*-2 + 7. Suppose -v*x + 20 = -x. Suppose -3*p - 52 = -x*c + 88, -2*p = -8. What is the tens digit of c? 3 Let n = -5 + 9. Suppose -n*o + m - 5*m + 28 = 0, -3*o - 14 = -4*m. Suppose d = 2*h - d - 20, 0 = -o*h + 5*d + 32. What is the units digit of h? 6 What is the units digit of 5849/3 + (-21)/((-819)/(-26))? 9 Suppose 795 = 41*w - 44*w. Let v = w - -404. What is the hundreds digit of v? 1 Let u be (-1)/(2 + (-91)/45). Suppose -4*l = -9*l + u. Let k = l - 2. What is the units digit of k? 7 Let q(m) = m**2 + 7*m + 18. Suppose 0 = -2*g - 2*w + 14 + 24, -3*g + 49 = -w. Let k = g - 26. What is the units digit of q(k)? 6 Suppose -56 = -3*x + 5773. What is the hundreds digit of x? 9 Suppose -15 = -4*i - x, -3*x + 1 + 8 = 0. Suppose -i*c + 4*c = 56. What is the units digit of c? 6 Let h be (-1 - 3/1)/(-5 - -4). Suppose -707 = -h*b + 5*u, -2*u + 3*u = -4*b + 737. What is the tens digit of b? 8 Let q be 7 - (-3 + 4 + -4). Suppose p = -p + q. Suppose -p*g + 18 = -7, 0 = l - 4*g - 44. What is the units digit of l? 4 What is the tens digit of 243/4 + 3/108*9? 6 Suppose 4*v + 0*v - 5*r = 34, -v = 4*r - 19. Let n = v + -7. Let w = n - -9. What is the units digit of w? 3 Let y be 63/7*-2*1. Let z be (-13)/1 - y/6. What is the tens digit of (-790)/(-25) - 4/z? 3 Let x(b) = -470 + 3*b**2 - 2*b + 468 - b**2. What is the tens digit of x(-2)? 1 Suppose 2 - 8 = -x. Suppose 9*r = 4*r - 5. Let m = x + r. What is the units digit of m? 5 Let b be ((-56)/(-10))/((-1316)/220 - -6). Let x = b - 172. What is the hundreds digit of x? 1 What is the units digit of (348/(-30))/((-11)/55)? 8 Let f = -234 - -121. Let j = f + 159. What is the units digit of j? 6 Suppose -j = 3*x - 5*x - 880, -2*x = 8. What is the hundreds digit of j? 8 Let t(j) = 14*j - 264. What is the units digit of t(49)? 2 Suppose 731 = x + 3*b, 9*x + 4*b = 4*x + 3699. What is the units digit of x? 3 Let q(w) = w + 19. Let s be q(-17). Suppose 26 = -d + 4*d - 4*o, -s*d + 23 = 3*o. What is the tens digit of d? 1 Let f = -12 + 14. What is the tens digit of (-1 + -6)/((4 - 5)/f)? 1 Let q be (2 - -2)*(-30)/(-24). Suppose -364 = q*l - 2114. Suppose 5*m - 5*b = l, 3*m + 4*b - 256 = -m. What is the tens digit of m? 6 Let a be (-19 - -17) + 7*19. Let h = a + -78. What is the tens digit of h? 5 Let i(d) = 603*d**3 - d + 1. What is the hundreds digit of i(1)? 6 Suppose 8 = 4*f, 5*v + 3*f + 0*f - 66 = 0. What is the tens digit of 1*-1 + (32 - v)? 1 Suppose 550 = 2*z + 4*w - 684, 0 = -w - 3. What is the units digit of z? 3 Let p be 3 + (23/3 - (-10)/(-15)). Let m(i) = 2*i**2 - i - 40. What is the hundreds digit of m(p)? 1 Suppose -32810 = -47*z + 48782. What is the thousands digit of z? 1 Let j(d) = 12*d - 62. Let u(t) = -14*t + 63. Let w(v) = -4*j(v) - 3*u(v). What is the tens digit of w(-20)? 7 Suppose 1650 + 2446 = 8*z. What is the hundreds digit of z? 5 Let b(j) = -6*j + 7. Let p(k) = -3*k + 4. Let l(q) = 6*b(q) - 11*p(q). What is the tens digit of l(-9)? 2 Suppose 0 = -g - 5*w - 389, g = -3*g + 3*w - 1510. Let z = g - -540. What is the tens digit of z? 6 Suppose -3*n + 4*t + 26 = 0, -4 = -4*t - 0. Let g be 38/n - 2/(-10). What is the units digit of (g + -4 + -118)/(-2)? 9 Let o(j) = -6*j - 52. Let s be o(-16). Suppose i - s = -4*x - 4*i, -x - 10 = -4*i. What is the units digit of x? 6 Let m be (72/(-20) + 4)*-5. Let r = m - -60. What is the units digit of r? 8 Let q = 38 - 42. Let o(d) be the first derivative of -2*d**2 - 1. What is the units digit of o(q)? 6 What is the tens digit of 5/(5/410*5)? 8 Let m be 5 + (-1 + 8 - 4). What is the units digit of (-174)/(-2) - m/2? 3 Let u(a) be the first derivative of -a**4/4 + a**2/2 + 6*a + 1. What is the units digit of u(0)? 6 Suppose 2*r + 2 = -u, 3*r - 21 = 2*r + 5*u. What is the hundreds digit of 30/(-12)*(r + -121)? 3 Suppose -2*x + 8*x - 18 = 0. Suppose -2*m - 3*q - 58 = -7*m, -x*q + 19 = 2*m. What is the units digit of m? 1 Let o = -1041 + 1482. Suppose -29 = -5*f + z, z + 35 = 5*f + 6*z. Suppose -d - f*d = -o. What is the units digit of d? 3 Let j be (-6*(-3)/6)/(9/(-6)). What is the tens digit of (19/38)/(j/(-624))? 5 Let w be (90/12)/(2/(-4)). Let f = -20 + 10. Let p = f - w. What is the units digit of p? 5 Suppose -4*f - 12265 = -6*m - 1991, 4*m = 3*f + 6851. What is the thousands digit of m? 1 Let q = 314 + 274. What is the units digit of q? 8 Let g(n) = 22*n**2 + 2*n + 2. Let v(r) = -r. Let s be v(3). What is the hundreds digit of g(s)? 1 Let k = -220 - -325. Let q(c) = -c**2 - 19*c + 46. Let g be q(-21). Suppose -g*d + k = d. What is the units digit of d? 1 Suppose 3*b - 47 = -2*n, n - b = -0*b + 16. Suppose 7*v = 6*v + n. What is the tens digit of v? 1 Let r =
{ "pile_set_name": "DM Mathematics" }
d smallest value? (a) -1/4 (b) -0.09 (c) -0.5 (d) -1/7 d What is the third biggest value in 5, 0.0417, 0? 0 What is the second biggest value in -1/2, -2/13, -1/9, -11, 4? -1/9 What is the smallest value in 294, -2/7, -5, 3/7, 1/3? -5 Which is the fifth smallest value? (a) 0 (b) -0.1 (c) 3 (d) -0.3 (e) 0.41 c Which is the biggest value? (a) 0.1 (b) 1 (c) 0.08 (d) 4 (e) -0.4 d What is the biggest value in -1, 4, -3, -0.4? 4 What is the fourth smallest value in 3, -2, -4/9, 0.3? 3 What is the second smallest value in -1, 7, 4/23? 4/23 Which is the fourth smallest value? (a) -4/13 (b) -9 (c) 3 (d) 0 c Which is the second smallest value? (a) 35 (b) 3/4 (c) 3 (d) 5 c Which is the third biggest value? (a) -5 (b) -0.9 (c) -4 a Which is the smallest value? (a) -0.4 (b) -3/101 (c) 2 (d) -5/3 d Which is the second smallest value? (a) 4/3 (b) -5 (c) -0.122 c What is the second smallest value in -0.2, 2/411, -0.4, 1/8? -0.2 Which is the biggest value? (a) 541 (b) -4/5 (c) 4 a What is the fourth smallest value in 1, 3/7, -3, 2/9, -2/131? 3/7 What is the fourth smallest value in -1/50, -2/7, -5, -3.1? -1/50 What is the second biggest value in -4, -4/7, -5, -2/11? -4/7 What is the second biggest value in -6, -0.05, 5? -0.05 Which is the third biggest value? (a) 55 (b) -1 (c) -2/13 b What is the second smallest value in -3, 2564, 5? 5 What is the fourth smallest value in 4, -0.2, -0.5, -132? 4 Which is the third biggest value? (a) -15 (b) 4 (c) 5 a What is the third smallest value in -61, -0.3, -3? -0.3 What is the fourth biggest value in -3, 6, 2/13, 0.04? -3 What is the third biggest value in -2/239, 2, -1/4? -1/4 What is the second smallest value in -0.4, -4/15, -1, -2/11? -0.4 What is the second smallest value in -14/85, -0.2, -0.3? -0.2 What is the third smallest value in -3, 132, -3/5, 1/9? 1/9 What is the third smallest value in 184/5, 2/3, 0.1? 184/5 What is the second biggest value in -0.019, 2/9, 0? 0 What is the third biggest value in -0.08, 0.1, 5, -3, -69? -0.08 What is the third biggest value in 80.7, 4, -3/8, -2? -3/8 What is the second biggest value in 106, -5, 4, -1/5? 4 What is the second biggest value in 5, -0.1, 94, 3? 5 Which is the third biggest value? (a) -3 (b) 2 (c) -0.7 (d) -0.01 (e) -5 c Which is the second smallest value? (a) -0.3 (b) -1/57 (c) 1/2 b What is the second biggest value in 2, 5, -132? 2 What is the biggest value in -3/17, 0.3, -4, 0? 0.3 What is the second smallest value in 4/3, 21, -27? 4/3 What is the second biggest value in -3, -2, 110? -2 What is the fourth smallest value in 4, 7, -1/6, -4/3, -3? 4 Which is the smallest value? (a) 2/51 (b) -11/9 (c) 3 (d) 1/2 (e) -3 e Which is the fourth biggest value? (a) -3/2 (b) -1 (c) 3 (d) -2/9 a What is the third smallest value in -27.2, 0, -4, -0.5, -4/5? -4/5 What is the second biggest value in 2/9, 0.5, 4, 8/7? 8/7 Which is the second smallest value? (a) -20 (b) 0.2 (c) 5 b What is the biggest value in 0.3, 0.01, -0.3, 0.19, -1/2? 0.3 What is the biggest value in 4, -2/7, -15/2? 4 Which is the biggest value? (a) 1/3 (b) -33.159 (c) 2 c What is the fourth biggest value in -3/10, 0, -4, -18? -18 What is the third smallest value in 0.5, 3, -0.17? 3 What is the smallest value in 6, 7/2, 4? 7/2 What is the third biggest value in -3, -5, -4? -5 Which is the smallest value? (a) -3 (b) -364 (c) 5 (d) 3 b Which is the second biggest value? (a) 0.4 (b) -3/13 (c) -0.2 c What is the third smallest value in -7, -3.6, -2, -27? -3.6 What is the second biggest value in 0, -5, 2/11, 1/46? 1/46 Which is the third biggest value? (a) 19/2 (b) 2 (c) -0.5 c What is the smallest value in 6, -3, -41, 3? -41 What is the third smallest value in 5, -2/9, 2/5, 38, -0.3? 2/5 Which is the second smallest value? (a) 0.5 (b) 4/5 (c) -2.7 a What is the biggest value in 2, -1/3, 0.1, 2/17, 16? 16 Which is the second smallest value? (a) -51 (b) -2/13 (c) -4 (d) 0.2 c What is the biggest value in 0.5, 1, -24/25? 1 Which is the second biggest value? (a) -3 (b) -18 (c) -1 (d) -0.5 (e) -12 c What is the third biggest value in 0, -27, 2? -27 What is the third biggest value in -7, 1, -1/4, 1/3? -1/4 Which is the third smallest value? (a) 1/5 (b) -0.065 (c) -5 a What is the third biggest value in -3, -4, 3, -0.19? -3 What is the fourth biggest value in 3, 0.4, -2, 0.3, -0.02? -0.02 Which is the fourth smallest value? (a) 27 (b) 0.2 (c) -0.4 (d) 4 (e) -1/9 d What is the third biggest value in -52, -0.1, 5? -52 What is the biggest value in -3, -0.03, -0.021? -0.021 Which is the third biggest value? (a) 5 (b) 4/5 (c) 25 b What is the third biggest value in -13/4, -1/8, 0.3? -13/4 What is the second smallest value in 704, 5, 0.1? 5 What is the second biggest value in -512, -3/5, 5? -3/5 What is the second smallest value in -2/5, 17, 5/7? 5/7 What is the fifth smallest value in 2/9, -0.4, -2.7, -0.03, 3? 3 What is the third biggest value in -2/7, -1, -197, 4? -1 What is the biggest value in -5, -2/145, 0.3? 0.3 What is the third biggest value in 3, -4, -175? -175 Which is the smallest value? (a) -62 (b) -0.1 (c) 0.7 a What is the third biggest value in -1, 0.3, 7/10? -1 What is the third smallest value in 3, 0.15, 4? 4 What is the third smallest value in -4, -1.8, -0.3, -0.05? -0.3 What is the second smallest value in -0.035, -3, 4/3? -0.035 Which is the third biggest value? (a) 10 (b) 0.5 (c) -0.9 (d) 0.08 d What is the biggest value in -3/2, 10/13, -2.7, 4/5, -0.4? 4/5 Which is the third biggest value? (a) -6 (b) 3 (c) -5/3 (d) 0.2 (e) 1/2 d Which is the biggest value? (a) 0.07 (b) -1.14 (c) 0.4 c What is the smallest value in 3, -1/2, 55? -1/2 Which is the third biggest value? (a) 0.7 (b) 1/3 (c) 2 b What is the third biggest value in -1/4, -4, 2806? -4 What is the biggest value in 7, 0.3, 1/3? 7 Which is the second biggest value? (a) 0.09 (b) -4 (c) 2/5 (d) 0.5 c What is the third biggest value in 0.4, 1/9, -4, -3/8? -3/8 What is the fifth smallest value in -0.2, 1/4, -11, -0.03, 7? 7 What is the second biggest value in -3, -5, -35, -4? -4 Which is the biggest value? (a) -3 (b) -0.19 (c) 21 c Which is the biggest value? (a) 2/23 (b) -42 (c) 0.2 c Which is the second smallest value? (a) 2/5 (b) -2/7 (c) -4/23 c What is the smallest value in 0.09, -0.2, -10? -10 Which is the second biggest value? (a) 2 (b) -54 (c) -2 c What is the third smallest value in 0.5, -0.5, -3, 6? 0.5 Which is the third smallest value? (a) -1 (b) 4 (c) 0.3 (d) 1 (e) 0.1 c What is the fifth biggest value in 0, -22, 5, -4, 0.5? -22 What is the biggest value in -5/4, -0.7, 1/5, -1? 1/5 What is the biggest value in 1, -1/6, -298/5? 1 Which is the second smallest value? (a) 1/6 (b) 10 (c) -5 a Which is the second smallest value? (a) 4 (b) 93 (c) 0.2 a What is the second smallest value in -15, -2/37, 4? -2/37 Which is the second smallest value? (a) 2/11 (b) -3 (c) 5/143 c Which is the third smallest value? (a) -8347 (b) -5 (c) 0.1 c Which is the second smallest value? (a) 8/5 (b) 0 (c) 1/4 (d) 8/9 c What is the smallest value in -2/3, 2, -5/7, -1/12? -5/7 What is the second biggest value in -0.085, -4, 5? -0.085 What is the second smallest value in -1/14, 2/7, -4? -1/14 What is the biggest value in -0.9, 0.3, -9.9? 0.3 What is the second biggest value in 1, -3/5, -6, 0.5? 0.5 What is the biggest value in -2, -1, 25, 0.2? 25 What is the smallest value in 48, 5, 0.1, 0.5? 0.1 Which is the smallest value? (a) 6342 (b) 3 (c) -1 c Which is the smallest value? (a) 0.07 (b) 0.4 (c) -2/19 c Which is the second biggest value? (a) -5.2 (b) 1 (c) -3 c What is the third smallest value in -4, -5/8, -3, -2/5? -5/8 Which is the second biggest value? (a) 0.4 (b) 4 (c) -2/15 (d) 134 (e) 0.07 b What is the third smallest value in -5, -14, -1? -1 Which is the second smallest value? (a) 5 (b) 0.3 (c) 1/5 (d) 10 (e) -0.03 c Which is the fourth smallest value? (a) 1/13 (b) -2/15 (c) -5 (d) -2/3 a What is the fourth smallest value in 0.2, -5, 5, -2? 5 Which is the second biggest value? (a) -5 (b) -1.2 (c) 0.5 (d) -2/33 d Which is the fifth biggest value? (a) 0.3 (b) 6/11 (c) 19 (d) -1/3
{ "pile_set_name": "DM Mathematics" }
at is p rounded to 3 dps? 0.006 Let t = 177548.213 + -177648. What is t rounded to the nearest ten? -100 Let w = 31013 + -42368. What is w rounded to the nearest 10000? -10000 Let w = -0.15 - -0.6. Let t = 53.45 - w. Let x = t - 37.4. What is x rounded to the nearest integer? 16 Let h be (-4)/(-44)*-2 - (-48)/22. Suppose -15*q = h*q. Suppose 0 = 2*d - k - 617 + 2796, q = -d + 4*k - 1086. What is d rounded to the nearest 100? -1100 Let o(l) = -38*l**2 - 7*l. Let p be 63/6*-4*1/(-6). Let a(d) = 19*d**2 + 3*d. Let h(f) = p*a(f) + 4*o(f). Let y be h(7). Round y to the nearest one hundred. -1000 Let h = 109212739.1322398951404 + 334.8677606648596. Let m = h + -109213086. Let o = 12 + m. What is o rounded to 7 decimal places? 0.0000006 Let x = 308827.26387 + -308825. Let k = x - 1.21454. Let z = 1.05 - k. Round z to 4 dps. 0.0007 Let j = -3447067.5 - -3447737.48556. Let b = j + -670. Round b to two decimal places. -0.01 Let m = 19272 - 19271.99989087. What is m rounded to 5 dps? 0.00011 Let g(r) be the third derivative of -39539*r**4/12 - 11*r**3/3 - 159*r**2. Let t be g(1). What is t rounded to the nearest 1000? -79000 Let k = -32.6927 - 20.7384. Let y = k + 53.4. Round y to 2 decimal places. -0.03 Let i(z) = -z**2 + 8*z - 4. Let k be (49/(-28))/((-1)/4). Let j be i(k). Suppose 6782 - 89282 = j*u. What is u rounded to the nearest one thousand? -28000 Suppose 1625697 = -3*f + 3*i, 5*i = 2*f + 548769 + 535026. Round f to the nearest ten thousand. -540000 Let x = -15419.0485 + 15418.615500156. Let o = 0.433 + x. Round o to seven decimal places. 0.0000002 Suppose -2*j = -3*a - j + 857276, 0 = 2*j + 10. Suppose 285729 = -u + 4*u + 3*k, 3*u = 4*k + a. Suppose -4*y - 12753 = u. Round y to the nearest 10000. -30000 Suppose -5*r + 5*n = 65, -3*r - 16 = 2*n - 2. Let u be 3/(-4) + (-22)/r. Suppose -u*i = -116048 - 71952. Round i to the nearest ten thousand. 90000 Let v = -463.22 + 463.183368. What is v rounded to 3 dps? -0.037 Suppose -p + 3*p = -2*w + 26, -30 = -2*w - 4*p. Suppose -w*i = -8*i + 5160000. What is i rounded to the nearest 100000? -1700000 Suppose 205*z - 49160559 = -113622571 - 79423388. What is z rounded to the nearest 1000? -702000 Let u = -660730.029797 + 660655.03. Let l = -70.7 - 4.3. Let p = u - l. What is p rounded to five dps? 0.0002 Let c be 4 + (5 + -3)*46/4. Let i(t) = 61317*t**2 - 3*t - 12. Let z be i(c). What is z rounded to the nearest 1000000? 45000000 Let p = -114250108.04738 - -114255116. Let l = p - 5008. What is l rounded to 2 dps? -0.05 Suppose -4*g = 16, -2*g - 476512 = -3*l + 2766196. What is l rounded to the nearest ten thousand? 1080000 Let g(w) = 2522*w**2 + 112*w + 338. Let y be g(-3). Round y to the nearest 1000. 23000 Let i = -3658.448 + 3672. Let f = 0.152 - i. What is f rounded to the nearest integer? -13 Let s = 941.112 + -915. Let q = 25.8 - s. Round q to 2 decimal places. -0.31 Let p = 5652 - 5694.39. Let r = -1.26 + p. Round r to the nearest integer. -44 Let n = 1632 - 884. Suppose -5*f - 2432 = n. Let s be 2000/(3/(-4)*8/f). What is s rounded to the nearest ten thousand? 210000 Let u = -4852 + 4851.994774. What is u rounded to three dps? -0.005 Let k(b) = 2*b - 22. Let s be k(10). Let h be (-3)/(1 - s) + 431. Let o be (-5)/(-2)*(-2 + h). What is o rounded to the nearest one hundred? 1100 Suppose b + 5*c = 0, b - 30 = 3*b - 5*c. Let j(d) = 1206*d - 60. Let g be j(b). Round g to the nearest one thousand. -12000 Let m(d) = -2596*d + 14457. Let v be m(-21). Round v to the nearest 1000. 69000 Let j(o) = 1898*o**3 + 6*o**2 + 256*o - 80. Let m be j(36). Round m to the nearest one million. 89000000 Suppose 3*k + 3 = 4*k. Suppose 5*q = 44*q - 105534. Suppose k*w = -3*t + q, w = -3*t + 3*w + 2696. What is t rounded to the nearest 1000? 1000 Let q = -3804 - -4486.2. Round q to the nearest 100. 700 Let y(t) = -36*t + 8. Let l be y(-2). Let a be ((1518/(-8))/(-3))/((-20)/l). What is a rounded to the nearest ten? -250 Suppose -27*n - 7663600 = 53*n. Round n to the nearest ten thousand. -100000 Let h = 44.8 + -2.2. Let w = 0.4 + h. Let o = -43.039 + w. Round o to 2 dps. -0.04 Let q(g) be the first derivative of 24*g + 4 - 60*g + 272*g**2 + 0. Let v be q(-6). What is v rounded to the nearest 1000? -3000 Let j = -1925 - -1925.0004778. What is j rounded to five decimal places? 0.00048 Suppose 2*g - 56 = 4*b, 0 = 4*g + 3*b - 50 - 84. Let x be ((-900)/(-16))/(1/g). What is x rounded to the nearest one thousand? 2000 Let p = 0.07049 - 0.0704919678. Round p to seven dps. -0.000002 Let w = 270 - 266. Let p be ((-6153)/(-3))/(-7) - w. Round p to the nearest 10. -300 Let y = -241543.99999894513 + 241544. Round y to 7 dps. 0.0000011 Let f = -0.64616 - -0.41247. Let x = 1.51 + -1.739. Let v = f - x. Round v to 3 decimal places. -0.005 Let u(a) be the first derivative of -14*a**2 - 35*a + 57. Let q be u(3). What is q rounded to the nearest 10? -120 Let x = -0.04901 + 2762.04901. Let b = x - 2771.266. Let k = b + 0.066. Round k to zero dps. -9 Let z(a) = -17002380*a - 5. Let u be z(-2). Suppose 0 = -2*v + 4*b - 3*b - 13601911, 5*v = -5*b - u. Let p = v - -4600954. Round p to the nearest 1000000. -2000000 Let d(c) = -5*c**2 + 31*c - 1. Let i be d(6). Let h be -6 - (i + -12*58). Round h to the nearest one hundred. 700 Let d(i) = -19*i - 15. Let o be d(-5). Suppose 231600 = -o*f + 77*f. What is f rounded to the nearest ten thousand? -80000 Suppose -8*c = -13*c + d - 120785, -3*d = 15. What is c rounded to the nearest one thousand? -24000 Let m(s) = -1003*s + 26. Let v be m(-7). Let b = v + -1535. Let h = -3392 + b. What is h rounded to the nearest one hundred? 2100 Let u(c) = -2*c**2 - 53*c + 29. Let d be u(-27). Let p be 27 - 28 - 4178/d. Round p to the nearest 1000. -2000 Let u = 2585.10142 - 2585.5. Round u to 2 decimal places. -0.4 Let w be (-12)/1*5/(-15). Suppose 0 = -12*h - w*h - 560. Round h to the nearest 100. 0 Suppose 0 = 139*d + 33*d - 9212320. Round d to the nearest 10000. 50000 Let g = 126046744 - 233081744. What is g rounded to the nearest 1000000? -107000000 Let p = -166 - -172. Suppose -p*x = -3*x - 4*h - 19380, 4*x = -2*h + 25840. What is x rounded to the nearest 1000? 6000 Let s = -14.16100291708 - -14.161. What is s rounded to seven decimal places? -0.0000029 Let s = 2982.7479 + -4446.1178. Let w = 1463 + s. Let g = 0.326 + w. What is g rounded to 2 dps? -0.04 Let b = 15.6996 + -0.0196. Let j = -17.6 + b. What is j rounded to one dp? -1.9 Let t(p) = -2732*p + 1. Let y be t(-9). What is y rounded to the nearest 1000? 25000 Suppose 36*z = 50*z + 378. Let d be (-1 + (-72)/z)/((-1)/(-21000)). What is d rounded to the nearest 10000? 40000 Let y = 190 + 580. Let x = -770.000323 + y. Round x to four dps. -0.0003 Let y = -1284231426.9999845 + 1284230814. Let c = -613 - y. What is c rounded to 5 decimal places? -0.00002 Let r = -12 + -22. Let w = -34.083 - r. What is w rounded to two decimal places? -0.08 Let v(z) be the second derivative of 853*z**3/6 + 6*z**2 - 2*z - 39. Let b be v(-4). Round b to the nearest one hundred. -3400 Let s = 123.02 - 124. Let i = s - -2.32. Round i to 1 dp. 1.3 Suppose 2*k + 6*k = 24. Let l(y) = 224*y**2 - 4*y + y**k - 2*y**3 - 211*y**2 - 7. Let u be l(11). Round u to the nearest 10. 190 Let r = 6298 - 6297.9999930556. What is r rounded to 7 dps? 0.0000069 Let d = -1020 - -1020.000005818. What is d rounded to 6 decimal places? 0.000006 Let r = -2.9615 - -2.829. Round r to 2 dps. -0.13 Suppose 5*f - 61 = 44. Let q(g) = -11443*g - 103 + 82 + 51444*g. Let t be q(f). Round t to the nearest 100000. 800000 Let s = -210434 - -328424. What is s rounded to the nearest 10000? 120000 Suppose -9*x + 14*x = 1605. Let d = -75 + x. Suppose d = 5*i - 349. Round i to the nearest ten. 120 Let m = -17724.000001876 + 17724. What is m rounded to six dps? -0.000002 Let v = -460683833.65696839 - -460683837. Let m = v + -3.343. Round m to 6 dps. 0.000032 Let a(u) = -8*u**3 + 8*u**2 - u + 10. Let k(b) = -6*b**3 + 10*b**2 - b + 10. Let y(v) = -2*a(v) + 3*k(v). Let l be y(10). Round l to the nearest 100. -600 Let d = -0.0395769 + 0.04103. What is d rounded to four dps? 0.0015 Let i be (-3)/8 - 129890440/320. Let f = -1421092 + i. What is f rounded to the nearest 100000? -1800000 Suppose -18*a + a + 1002676 = 69716. What is
{ "pile_set_name": "DM Mathematics" }
52. Let z(w) = 2*w + 1. Let y(t) = -x(t) - 52*z(t). What is i(y(r))? -676*r**2 Let z(s) = -16*s - 44. Let v(x) = 3*x + 8. Let c(q) = -22*v(q) - 4*z(q). Let m(a) = -12*a**2. What is m(c(b))? -48*b**2 Let u(i) = 3*i**2 - 58. Let w(s) = 12*s + 3*s - 24*s + 8*s. Give u(w(l)). 3*l**2 - 58 Let f(u) be the third derivative of -123*u**5/20 + 49*u**2. Let j(a) = -2*a**2. What is j(f(v))? -272322*v**4 Let h(a) = 16*a. Let i(b) = b. Let j(w) = 5 + 4*w + w - 5. Let f(m) = -3*i(m) + j(m). Calculate f(h(p)). 32*p Let k(o) = -7*o**2 - 3. Let x(q) = -19*q**2 - 8. Let a(g) = 8*k(g) - 3*x(g). Let d(u) be the third derivative of -17*u**5/60 + u**2. Determine d(a(s)). -17*s**4 Let b(n) = -n. Let m(f) = 2089041*f. What is m(b(t))? -2089041*t Let s(m) = -5*m. Let j(i) be the first derivative of i**4/3 - 8*i - 11. Let l(z) be the first derivative of j(z). Determine l(s(p)). 100*p**2 Let j(u) = 3*u. Let x(i) = 5*i**2 - 4*i - 3. Let o(c) = c. Let s(w) = 4*o(w) + x(w). Calculate s(j(q)). 45*q**2 - 3 Let j(f) = -44*f. Let k(n) = -40*n - 18. Let v(b) = -9*b - 4. Let z(w) = -2*k(w) + 9*v(w). Calculate j(z(d)). 44*d Let v(m) be the second derivative of -141*m**3/2 + 3*m + 40. Let o(s) = 2*s. What is v(o(d))? -846*d Let f(g) = -2*g**2. Let m(d) = -8*d + 2*d - 3*d. Let j(n) = -n. Let r(c) = -5*j(c) + m(c). Calculate r(f(s)). 8*s**2 Let g(a) = 60*a**2 + 2*a**2 - 68*a**2. Let j(d) = 11*d**2 - 5*d + 5. Let n(o) = -17*o**2 + 8*o - 8. Let i(h) = 8*j(h) + 5*n(h). Determine i(g(q)). 108*q**4 Let a be (-5)/25 + 62/10. Let j(x) = 2*x**2 + 7*x**2 - a*x**2 - 6*x**2. Let f(h) = h**2 - 2*h + 2*h. Calculate j(f(k)). -3*k**4 Let k(g) = -g**2 + 5*g - 5. Let n(q) = -3*q + 3. Let t(v) = 3*k(v) + 5*n(v). Let r(b) be the third derivative of -b**4/3 - 8*b**2. What is r(t(s))? 24*s**2 Let p(r) = 2*r. Let v(u) = -2*u**2 - 2*u. Let a(i) = -11*i + 92*i**2 + 90*i**2 - 192*i**2. Let j(m) = 2*a(m) - 11*v(m). What is p(j(y))? 4*y**2 Let d(k) = -k**2 + 6*k - 6. Let z(v) = -2*v**2 + 13*v - 13. Let g(p) = 13*d(p) - 6*z(p). Let x(b) = 65*b. What is g(x(u))? -4225*u**2 Let z(p) = 7*p**2. Suppose 0 = 3*v - 24 - 24. Let n(o) = -17*o**2 - 3*o**2 - 6*o**2. Let d(s) = -5*s**2. Let a(x) = v*d(x) - 3*n(x). Determine z(a(t)). 28*t**4 Let x be 2/(4/(-6)) + 27. Let b(f) = -2*f + 22 + x - 46. Let n(l) = -3*l. Calculate n(b(a)). 6*a Suppose -5*k = 5*r - 40, 2*r - 4*k - 28 = -9*k. Let w = 9 - r. Let z(m) = 3*m + w*m - 5*m. Let y(h) = -h. Calculate y(z(u)). -3*u Let z(l) = -17*l**2 - 4*l**2 - 22*l**2. Let d(c) = -2*c**2 - 18711 + 18711. Calculate z(d(x)). -172*x**4 Let q(k) be the first derivative of -4*k**3 - 11. Let y(x) = 41*x. Calculate q(y(v)). -20172*v**2 Let n = -13 + 25. Suppose -5*c + 4*r + 60 = -r, 2*r = 3*c - 36. Let t(p) = -4*p**2 + p**2 + c - n. Let i(q) = -q. What is i(t(y))? 3*y**2 Let t(s) be the second derivative of -65*s**4/4 + 4*s. Let y(n) = 2*n**2. Determine t(y(a)). -780*a**4 Let q(u) = 78*u**2 + u. Let w(f) = -4*f + 3. What is w(q(s))? -312*s**2 - 4*s + 3 Let s(j) = -565*j**2. Let l(c) = -2040*c**2. What is s(l(x))? -2351304000*x**4 Let x(u) = -u**2 + 3*u + 3. Let t(g) = 6*g**2 - 17*g - 17. Let w(d) = 6*t(d) + 34*x(d). Let p(i) = 1416 + 3*i + 17*i - 1416. Determine w(p(q)). 800*q**2 Let r(q) = -9*q**2 + 10*q. Let a(t) = 11*t**2 - 12*t. Let w(d) = 5*a(d) + 6*r(d). Let o(k) = 26*k**2. What is o(w(n))? 26*n**4 Let h(p) = p - 66. Let k(y) = -78*y**2. Calculate k(h(q)). -78*q**2 + 10296*q - 339768 Let p(b) = 3*b**2 + 4*b. Let d(y) = -274*y**2 + 557*y**2 - 280*y**2. Give p(d(t)). 27*t**4 + 12*t**2 Let z(w) = 14*w. Let j(y) = -61444*y. Determine j(z(s)). -860216*s Let l(h) be the first derivative of -h**2 - 1. Let v(k) be the first derivative of -k**5/120 + k**3 - 2. Let y(a) be the third derivative of v(a). Give l(y(r)). 2*r Let u(k) = 20*k - 198. Let s(q) = -q + 9. Let o(m) = 132*s(m) + 6*u(m). Let c(j) = 0*j - 3*j + 5*j. Give o(c(v)). -24*v Let j(u) = -10*u. Let r(w) = -2*w + 4. Give r(j(q)). 20*q + 4 Let a(v) = -2*v. Let i(u) = -32496*u + 2. Give a(i(c)). 64992*c - 4 Let a(g) = -g**3 - 3*g**2 - g + 2. Let q be a(-3). Suppose -2*t + 237 = q*v, -5*t - 8 = -2*v + 110. Let x(s) = -s - 49 + v. Let p(m) = -3*m**2. What is x(p(h))? 3*h**2 Let u(v) = -616*v**2 - 16*v - 16. Let m(z) = -123*z**2 - 3*z - 3. Let f(b) = -16*m(b) + 3*u(b). Let l(s) = 2*s**2. What is f(l(a))? 480*a**4 Let b(h) = h - 1. Let x(f) be the second derivative of -1/12*f**4 + 1/3*f**3 - f**2 + 0 + 6*f. Let w(z) = 2*b(z) - x(z). Let q(v) = 21*v. What is q(w(j))? 21*j**2 Let u(g) = -2*g**2. Let k(a) = 4*a**2 - 6*a + 7. Let h(m) = m**2 - 2*m. Let z(x) = 3*h(x) - k(x). Calculate z(u(b)). -4*b**4 - 7 Let i(v) = -216072*v. Let f(t) = -3*t. Calculate f(i(k)). 648216*k Let f(c) = -c**3 - 18*c**2 - 17*c + 4. Let w be f(-17). Let y(i) = 23*i**2 + w*i - 4*i. Let j(z) = -2*z**2. Give j(y(t)). -1058*t**4 Let x(c) be the second derivative of -c**3/6 + 18*c - 2. Let q(i) = 311*i. What is x(q(o))? -311*o Let o(h) = 2*h**2. Let m(p) be the first derivative of 0*p + 0*p**2 - 89/3*p**3 - 33. Calculate o(m(s)). 15842*s**4 Let m(k) = 2*k**2 + 0*k**2 + 2*k**2. Let l(o) be the third derivative of -o**5/60 + 77*o**2 - o. Determine l(m(t)). -16*t**4 Suppose 5*o + 105 = 120. Let m(j) be the second derivative of -3*j + 0*j**2 + 1/12*j**4 + 0*j**o + 0. Let x(s) = 3*s**2. Determine x(m(d)). 3*d**4 Let d = 2228 + -1076. Let k(i) = i**2 - d*i + 1152*i. Let g(m) = -2*m + 2 - 2. What is g(k(a))? -2*a**2 Let r(a) = -50*a. Let q(w) = 10*w. Let k(c) = 16*q(c) + 3*r(c). Let u(p) = 12*p**2. What is k(u(i))? 120*i**2 Let s(j) = j. Let l(u) = -40285*u - 2. Give s(l(v)). -40285*v - 2 Let o(z) be the first derivative of -7*z**3/3 - 57. Let t(i) = -i. Let m(k) = -8*k. Let w(h) = m(h) + 2*t(h). What is w(o(y))? 70*y**2 Let p(z) = -78*z. Let d(s) be the third derivative of -s**4/2 - s**2 - 100*s. Give p(d(u)). 936*u Let o(x) = x**2. Let y(t) = 3*t**2. Suppose -w = -12*w + 55. Let d(c) = w*y(c) - 18*o(c). Let n(r) = 5*r - 1. Determine n(d(l)). -15*l**2 - 1 Let i(h) be the first derivative of h**2/2 + 10*h - 261. Let f(u) = -8*u. Calculate f(i(w)). -8*w - 80 Let i(f) = 23*f. Let d(m) = 5102*m**2. Determine d(i(l)). 2698958*l**2 Let x(h) = -2*h - 4. Let w be x(-4). Let p(r) = -r**3 + 4*r**2 + r + 1. Let u be p(w). Let c(b) = -4*b**2 + u*b**2 - 2*b**2. Let j(g) = 5*g. What is j(c(k))? -5*k**2 Let s(i) be the first derivative of 0*i**2 + 0*i + 3 - 1/3*i**3. Let d(h) = 10*h. Let l(o) = -80*o. Let u(v) = -50*d(v) - 6*l(v). Determine u(s(k)). 20*k**2 Let f(b) = -2*b. Let p(t) be the third derivative of -t**5/60 + 19*t**3/6 + 347*t**2. Give f(p(a)). 2*a**2 - 38 Let b(w) = -6*w. Let o(r) = r. Let s(x) = -7*x. Let l(t) = -6*o(t) + s(t). What is l(b(d))? 78*d Let o(z) = 20*z. Let w be (10/15)/(4/(-6)). Let n(c) = -8*c - 6. Let q(b) = -b - 1. Let s(y) = w*n(y) + 6*q(y). Give o(s(u)). 40*u Let c(o) = -9*o. Let h(f) = 20*f + 13*f + 20*f - 52*f - 1. Let m(z) = 5*z - 6. Let i(j) = 6*h(j) - m(j). Calculate i(c(b)). -9*b Let j(l) be the second derivative of 23*l**4/6 - 3*l. Let n(f) = f. Let o(k) = 10*k. Let q(m) = -8*n(m) + o(m). Give q(j(y)). 92*y**2 Let w(x) = x**2 + 2*x - 1. Let h(r) = r**2 + 12*r - 7. Let u(f) = h(f) - 6*w(f). Let k(n) = n**2. Give u(k(d)). -5*d**4 - 1 Let p(j) = 9*j**2. Let r(a) = -18912*a**2. Give p(r(b)). 3218973696*b**4 Let i(d) = 50*d. Let t(r) = -167*r**2 + 27*r. Calculate i(t(n)). -8350*n**2 + 1350*n Let h(j) = 2*j. Let t(z) = -1774*z - 771. Calculate h(t(s)). -3548*s - 1542 Let o(y) = 4*y**2. Let b(c) be the second derivative of 0 + 0*c**2 - 1/6*c**3 + 3*c. What is b(o(m))? -4*m**2 Let r(b) = 3*b. Let h(j) = -j + 4. Let k be (-24)/(-15)*(-10)/(-4). Let n be h(k). Let y(q) = q - q - q + n. What is y(r(c))? -3*c Let g(q) = 254*q - 13. Let r(x) = 2*x**2. Give r(g(a)). 129032*a**2 - 13208*a + 338 Let i(h) = -11*h. Let b(j) = -4*j + 4. Let g(f) = 2*f - 1. Let p(d) = b(d) + 4*g(d). Give i(p(s)). -44*s Let l(m) = -m + 6410 - 6410. Let a(b) be the first derivative of 6*b**2 - 1. Calculate a(l(y)). -12*y Suppose 176 + 94 = 5*a. Let p(z) = -z + 26 - a + 24. Let d(b) = 2*b**2. Calculate d(p(r)). 2*r**2 + 16*r + 32 Let g(j) = -2*j - 18. Let q(u) = -1. Let p(c) = -2*g(c) + 36*q(c). Let v(i) = 3*i**2. Determine v(p(n)). 48*n**2 Let g(k) be the third derivative of -11*k**4/12 + 4*k**2
{ "pile_set_name": "DM Mathematics" }
the closest to -0.2? (a) -3 (b) -1/22 (c) 0.2 (d) -0.2 d Which is the closest to 0.1? (a) 0 (b) 0.5 (c) -21 (d) -16 a What is the closest to -0.6 in 1, 3/11, 2, -5? 3/11 Which is the nearest to -0.011? (a) -4 (b) 1/2 (c) -0.2 (d) -1.7 c Which is the nearest to -3.9? (a) 1.11 (b) 0 (c) 5 (d) -4 d Which is the nearest to 0? (a) -4 (b) -13 (c) 3.8 c Which is the closest to 0.1? (a) -15/11 (b) 2/11 (c) 4 (d) -1/8 b Which is the nearest to 2/7? (a) 16 (b) -1/7 (c) 8 b Which is the closest to 0.1? (a) 17/140 (b) 0.5 (c) -0.4 a Which is the closest to 0? (a) -37 (b) -5 (c) -0.4 (d) -0.1 d What is the closest to -4 in -0.5, 138, 0.2? -0.5 What is the nearest to 12 in 2/5, 0.5, 1? 1 Which is the nearest to -3? (a) 1/5 (b) -1.9 (c) 1.3 b What is the nearest to -0.2 in -31, 5, -5/2? -5/2 Which is the nearest to -42? (a) -6 (b) 2/7 (c) -2/9 a What is the nearest to -0.3 in -1, -3, 75? -1 Which is the closest to 3? (a) 0.2 (b) -1/3 (c) -5 (d) -2 a Which is the nearest to 2/11? (a) 7 (b) 14 (c) -2 c What is the nearest to 2 in -2/29, -0.7, 0.2, 2/5? 2/5 Which is the nearest to 18? (a) -0.5 (b) 0.4 (c) -2.3 b Which is the nearest to -1/2? (a) 0 (b) -0.1 (c) -5 (d) -17/28 d Which is the closest to 2? (a) -2/3 (b) 0.5 (c) -282 b Which is the closest to -3? (a) 1 (b) -2/19 (c) -3/5 (d) 4/5 c Which is the closest to 0.04? (a) 3 (b) -5 (c) 5/4 (d) 2/11 d Which is the nearest to 4? (a) -10.4 (b) -1/10 (c) 2 c What is the closest to 0 in 3, -2/43, -6, -10/9? -2/43 Which is the nearest to 0? (a) -0.1 (b) -4 (c) -1/32 c Which is the closest to 0? (a) 2/11 (b) -3 (c) -432 a Which is the closest to -2/3? (a) -4 (b) -3 (c) 5 (d) 2/17 d Which is the closest to -2? (a) 1/3 (b) -3 (c) 0.3 (d) -7 b What is the closest to -2/3 in -2/9, 4, 11, 3/7? -2/9 What is the closest to 2 in -0.3, 0.5, -33? 0.5 What is the closest to 7 in -3, 16, 0.4? 0.4 What is the closest to 1 in -2, 5, -6, -11? -2 Which is the closest to 6? (a) 2 (b) -0.1 (c) -0.175 (d) -4 a What is the nearest to 3 in 0.3, 2, 3, -1/12? 3 Which is the nearest to 40? (a) 1/3 (b) -27 (c) 0.2 a What is the closest to 0 in -0.12, -2/3, -8? -0.12 Which is the nearest to 3? (a) 7/2 (b) 0.3 (c) -2/17 (d) -2 a What is the closest to -2 in -2/9, 2, 6/25? -2/9 Which is the nearest to -12/5? (a) -5 (b) -4 (c) 3/7 b What is the nearest to 1 in -2, 7.8, 0.2, 0.3? 0.3 What is the nearest to 1/5 in 2/9, 1, 1.2, 0.5? 2/9 Which is the closest to 0.2? (a) -0.06 (b) 2/37 (c) 5 (d) 0.03 b What is the nearest to -1/4 in -0.5, -15, 0.09, -3? -0.5 Which is the nearest to 25? (a) -2/5 (b) 2/7 (c) 3 (d) -2 c Which is the nearest to -5/4? (a) 5 (b) 3 (c) 0.4 (d) 3/10 d Which is the closest to -2/9? (a) 1 (b) -4 (c) 19/5 a Which is the closest to -0.2? (a) -5 (b) -0.41 (c) 0 c Which is the nearest to -0.03? (a) -0.1 (b) 4 (c) 3/7 a Which is the closest to 2? (a) 2 (b) 19 (c) 2/15 (d) 3 a What is the closest to 1 in -0.4, 0.2, -99? 0.2 What is the nearest to -1/2 in -0.3, 290, -0.1, 4? -0.3 Which is the closest to -1.3? (a) -0.4 (b) -3.6 (c) -4/7 c Which is the closest to -1? (a) 0.4 (b) -5 (c) 4 a What is the closest to -19 in -1/8, -2/9, -0.3, -2? -2 Which is the nearest to -2/5? (a) 0.5 (b) -0.6 (c) 3/4 (d) -0.4 d Which is the nearest to -0.13? (a) -0.2 (b) -4 (c) -14 (d) 3 a Which is the nearest to 0.1? (a) -3 (b) 14 (c) -11 a What is the closest to 4 in -3, 2, 0.2, 2/7? 2 Which is the nearest to -2? (a) 1 (b) -1/50 (c) 4 b What is the closest to 2 in 0, -0.5, -1, 2783? 0 What is the closest to -0.2 in 1, -5, 1/5, 0.27? 1/5 What is the closest to 5 in -977, -2, -0.1? -0.1 What is the closest to -4/3 in -26, -3, 0? 0 What is the closest to -3/8 in 87, -5, 0.1? 0.1 Which is the closest to 0? (a) 0.1 (b) 7/4 (c) 4 (d) -2/15 a What is the closest to 7 in 8/19, 4, -5? 4 Which is the nearest to 2/37? (a) 2/11 (b) 5 (c) -3 (d) 0.3 a Which is the closest to 0.1? (a) -1/5 (b) -9 (c) -4 (d) -10 a Which is the nearest to 12? (a) 5 (b) -2/3 (c) -1 (d) 0.1 a Which is the closest to 98? (a) 5 (b) -3/10 (c) -2 a Which is the nearest to 2/21? (a) 8 (b) -0.4 (c) -1/2 b Which is the nearest to -23729? (a) -0.3 (b) 1 (c) 3/8 a Which is the closest to 0.1? (a) 0.2 (b) 1/54 (c) -5 (d) 1 b Which is the closest to 0.8? (a) 0 (b) -2/25 (c) 4 a Which is the closest to 2/3? (a) -5 (b) 1/6 (c) 1 (d) 527 c What is the nearest to 1/4 in -20, -0.1, 1/7, -12? 1/7 Which is the closest to 2/133? (a) -0.4 (b) 0.2 (c) 1 (d) 0.1 d Which is the nearest to 6/17? (a) -4 (b) -3 (c) -2/17 c What is the closest to 1 in -2/85, -1/4, -4, 12? -2/85 Which is the nearest to 16/7? (a) 1/2 (b) -5 (c) -8 (d) 1 d What is the closest to 0.1 in -3, 25/2, -5, -4? -3 What is the nearest to 2 in 1, 3/10, -432? 1 What is the closest to -0.1 in 4, -2/29, -3/7, 1? -2/29 Which is the nearest to -0.1? (a) 44 (b) -1/16 (c) 0 b What is the closest to 1 in -5, 0, 53, 0.3? 0.3 Which is the nearest to -12? (a) -4/5 (b) -2/3 (c) -21 (d) 0.5 c Which is the nearest to -2? (a) -47 (b) 0 (c) 1/10 b What is the closest to 0 in -2/9, 1/5, -24.6, -4? 1/5 What is the nearest to -0.3 in 1.13, 4/7, 0.1? 0.1 What is the closest to 0 in 0.06, 0.5, 2? 0.06 Which is the closest to 0? (a) -2/93 (b) -1.6 (c) -4 a What is the closest to -2/11 in 1/2, 2, -0.5, 7? -0.5 What is the nearest to -0.1 in 15, 2, 1/2, -2? 1/2 What is the nearest to -0.1 in 0.5, 2/9, 8, 11? 2/9 Which is the closest to -1? (a) 42 (b) 4 (c) 5 b Which is the closest to 0.1? (a) 0 (b) -0.3 (c) 2 (d) -4 a Which is the closest to -0.6? (a) -10 (b) 0.4 (c) -2/5 c Which is the nearest to -90? (a) -1/10 (b) 12/13 (c) 3 a What is the nearest to 2/7 in 0.5, 5/2, -4/5? 0.5 What is the nearest to 3 in 1, -2/11, -5, 3/7? 1 Which is the nearest to 426? (a) 0 (b) -2/3 (c) 1 (d) 2/7 c What is the closest to 0 in -0.2, -3/2, -135? -0.2 Which is the nearest to -68? (a) 1 (b) -0.06 (c) -4 (d) 0.1 c What is the closest to -2/7 in 0.1, -0.5, -1107? -0.5 Which is the closest to 0.04? (a) 5 (b) -1/5 (c) -26 b Which is the nearest to 0.2? (a) -0.3 (b) 1/5 (c) -1 (d) -1/12 b What is the closest to 1 in -0.07, 4, -1, 0.3? 0.3 Which is the closest to -0.2? (a) -2/39 (b) 3 (c) 0.06 a Which is the closest to -1? (a) -2/127 (b) 0.3 (c) 1 a Which is the closest to -7? (a) -5 (b) -1/4 (c) 2 (d) -0.2 a Which is the closest to -1/8? (a) -3/8 (b) 3 (c) 2/7 (d) -1/10 d Which is the nearest to 1? (a) -0.85 (b) -0.5 (c) 2/11 c What is the closest to 0 in -0.5, 2/5, 4, -2/189? -2/189 Which is the nearest to -0.2? (a) -5 (b) 1/2 (c) 0.1 (d) 0 d What is the nearest to -1/2 in 4, 0.2, 2/113, 2? 2/113 What is the nearest to 0 in -0.18, 6, -3/5? -0.18 Which is the nearest to -4? (a) 2 (b) 7 (c) 0.1 (d) -0.1 d What is the nearest to -0.1 in 7, -4/5, -3? -4/5 Which is the nearest to -1? (a) 5 (b) 0.9 (c) -1/3 c What is the nearest to -1 in 0.06, -10/7, 1, 4? -10/7 What is the nearest to -3 in 2/3, 7, 2, 10? 2/3 What is the nearest to -2/7 in -2, -2/23, -4/7? -2/23 What is the closest to 1/4 in 1, -3/13, -4, 0? 0 What is the closest to -1 in 0.2, -1, -18, 5? -1 Which is the closest to -12? (a) -2/11 (b) -8 (c) 3/8 b What is the closest to 1/4 in -1/3, 20, -0.1? -0.1 What is the closest to 0.02 in -4, -119, -0.4, 1? -0.4 Which is the closest to 1? (a) -0.3 (b) -9 (c) -2/3 (d) 2/7 d What is the nearest to -96 in -0.2, 0.2, 1, -3? -3 What is the nearest to -3/4 in 0.1, -33, 0.3? 0.1 Which is the nearest to 0.1? (a) -26 (b) -4 (c) -1/5 c Which is the closest to -2? (a) -2 (b) -0.277 (c) -0.3 (d) -0.4 a Which is the closest to -0.2? (a) -0.04 (b) 2/7 (c) 0.3 a What is the nearest to 1/4 in 2, 0.281, -2/3, 0.01? 0.281 What is the closest to -1/2 in -4, -5/2, -0.4, 3/5? -0.4 Which is the nearest to 0? (a) 0.3 (b) -5 (c) 0.94 a What is the nearest to -2 in -0.1, 5/4, -2/15, -4/7? -4/7 Which is the closest to 2? (a) 0.2 (b) 1/3 (c) -0.1 (d) -17 b Which is the closest to -0.3? (a) 5 (b) -3 (c) -6 b What is the nearest to -1 in -2/381, -2/7, 4? -2/7 What is the closest to 0.2 in 92, -0.4, -1? -0.4 Which is the nearest to -
{ "pile_set_name": "DM Mathematics" }
ppose -1 = -o*v + 1. Is v - (0 - 4*2) prime? False Let h be (-3)/12 - (-1015)/(-20). Let w = h - -146. Is w a composite number? True Let l be ((-16)/(-2) + -2)/2. Let t be 25 - ((2 - 3) + l). Is t - (-2 + 2)/(-3) prime? True Let l(n) be the first derivative of -n**4/2 + 7*n**2/2 - 6*n + 1. Let c be l(4). Is 2/(208/c - -2) a prime number? True Suppose 0 = -h - 3*h + 8. Let p(y) = 29*y - 3. Is p(h) a composite number? True Let l be 62/(-8) + (-13)/52. Is 12/l*2*-151 a prime number? False Suppose -3*x - 4*g + 0*g + 33 = 0, 4*g = 5*x - 55. Let a = 2 + -2. Suppose a = 2*z - x - 147. Is z composite? False Let p(u) = 6*u + 13. Suppose -32 = -5*z + 23. Is p(z) a prime number? True Let t(p) = 15*p**2 + 2*p + 4. Suppose g = 2*q - 3, -2*q = 2*q + g - 21. Suppose -12 = 4*i + 3*h - 0*h, 5*h - 12 = q*i. Is t(i) a composite number? True Let g(z) = 6*z - 11. Is g(8) composite? False Let w be (0 + 1)/((-4)/(-8)). Suppose n + w = -3*v - 2*v, -3*n + 49 = 4*v. Is n prime? True Let p(z) = -89*z**3 - 3*z**2 + 2*z + 5. Is p(-2) composite? False Let w = -1 - 0. Let i be 4/(2 + (-2 - w)). Let t = i + 3. Is t a composite number? False Is 0 - (-2 - 0) - (-367 + -8) composite? True Let x(f) = -3*f**2 - f + 1. Let s be x(1). Let d be -8 + (8/(-2))/2. Let g = s - d. Is g composite? False Let k = 26 - 16. Suppose 3*y - 5*s - 1 = 24, -2*s = 4*y + k. Suppose -4*p + 2 + 35 = d, -4*d - 2*p + 190 = y. Is d a prime number? False Suppose -4*n + 8 + 4 = 0. Suppose h - n*k = 152, 4*k + 749 = -0*h + 5*h. Is h a prime number? True Suppose 1980 = -4*s - s. Let i = -23 - s. Is i a prime number? True Let l(t) = -3*t - 2. Let o be l(-6). Suppose f + o - 78 = 0. Is f prime? False Suppose 0 = 4*c - 234 - 610. Suppose -c = -5*r + 704. Is r prime? False Suppose 0 = -11*b + 14*b - 633. Is b a prime number? True Let m = 20 + -9. Let p = 4 - m. Let q = p + 26. Is q prime? True Is (-2138)/4*-2*(-2 + 3) prime? True Let t = -15 + 18. Suppose -t*b - 248 = -7*b - 4*k, -k - 292 = -5*b. Is b a prime number? True Let k be (-4)/(-10) + (-112742)/(-70). Suppose 5*y = 2*y + k. Is y a composite number? True Let k = 9 + -7. Suppose 3*n + 147 = k*y + 61, 2*y - 78 = n. Is y a prime number? True Suppose 8 = 3*n - 2*l, 2*n - 5*l = -0*n - 2. Suppose -n*d = -8*d + 140. Is d composite? True Let g = 14 + -9. Suppose -3*c + 5*h = -241, g*c + 5*h + 162 - 617 = 0. Is c composite? True Suppose 4*u + 3*k = 0, k - 2*k = -4*u. Let h be u - -3*4/6. Is (-3 - -4)/(h/18) a composite number? True Let u be (-2)/(-4) + (-45)/(-10). Let c(m) = 54*m - 7. Is c(u) composite? False Let a(n) = 3*n**2 - n + 1733. Is a(0) composite? False Let s be 3/2 - (-618)/4. Is (-2)/2 - s/(-3) a prime number? False Let z be ((-2 - 1) + 2)/(-1). Let l = 11 - z. Is l composite? True Let j be 3/(-4) - 27/(-4). Let m = -28 + 19. Is j/27 + (-331)/m prime? True Suppose 3 - 19 = -4*o. Suppose 54 = 5*d - i, -2*d + o*d - i - 24 = 0. Suppose r - 11 = d. Is r a prime number? False Suppose 0 = n - 2*n + 41. Suppose -3*i + 22 = -3*g - 2, 4*g - i = -n. Let p = g - -76. Is p composite? True Suppose -4*r - 1285 = -5*w - 9*r, -4*w - r = -1019. Is w a prime number? False Suppose -1 = r - 4. Suppose 0 = -2*m + r*u + 266, -u = 2*m - 3*m + 131. Is m composite? False Suppose -5*z - 25 = -3*y, 3*z + 27 = -0*y + 3*y. Is y/(-35) - 1222/(-14) prime? False Let w = -4 - 2. Let d = w - -4. Let p(o) = 11*o**2 + 4*o + 3. Is p(d) a prime number? False Let i(h) = -6*h**2 - 9 - 20*h**2 + 2*h - 17*h. Let v be i(12). Is 4/(-22) + v/(-33) prime? False Let l(a) = -3*a**3 - 6*a**2 + 2*a. Let w(r) = r**3 + 2*r**2 - r. Let f(j) = 4*l(j) + 11*w(j). Is f(-2) a prime number? False Let v be 9/2*(-4)/1. Let p be 8/(-12)*v/4. Suppose p*j = j + 46. Is j composite? False Let o(r) = r**3 - 26*r**2 - 9*r + 50. Is o(28) composite? True Let d(i) = -i + 8. Let s be d(9). Is (-111)/(-6) + s/(-2) composite? False Let z be 0 + -1 + -1645 - 1. Is z/(-7) - 4/14 a composite number? True Let y(g) = -g**2 - 12*g - 9. Let t be (-15)/(2 + 1) + -2. Is y(t) prime? False Is 1115/20*(-8)/(-2) composite? False Let a(o) = -4*o**3 + o**2 - 10*o - 6. Let t = -5 - -4. Let m(i) = -i**3 - i**2 - i - 1. Let g(s) = t*a(s) + 5*m(s). Is g(-8) a prime number? True Suppose 4*z - 240 = -5*f, 3*f - 4*f + 39 = -z. Let b = -1 - -4. Suppose f = b*w - w. Is w a composite number? True Suppose -4*o = -0 - 16. Suppose 18 = -o*j + 238. Is j a prime number? False Let v(s) = 12*s**2 - 6*s - 7. Is v(5) a prime number? True Suppose 2*w - w + 5 = 0. Let d = -1 - w. Suppose -d*z = 4*o - 936, 4*o - 3*z - 929 = -0*o. Is o prime? True Suppose 2 = 3*h - 10. Suppose h*t - 28 = 240. Is t composite? False Suppose 4*l = -3*t + t + 1034, 2*l - 515 = -3*t. Is l a composite number? True Let k(b) = -156*b - 17. Is k(-10) a prime number? True Let d(x) = -x**2 + x + 55. Is d(0) prime? False Suppose 0 = 2*u - 4 - 0. Is u/8 - 22/(-8) a composite number? False Suppose 0 = -4*u - 5*v + 2243, -7*u - 4*v + 2797 = -2*u. Is u composite? False Let f(c) = c**3 + 15*c**2 - 14*c + 15. Is f(-14) composite? True Let y be (1/(-2))/((-2)/12). Suppose -f - 11 = 2*q + 2*f, y*q + 5*f + 19 = 0. Suppose 705 = q*x + x. Is x prime? False Suppose y + 3*c - 17 = 0, y + 0*y = 5*c - 15. Suppose u = y*b - 1 - 1, -11 = -3*u - 2*b. Suppose 2*o - 35 = -u*o. Is o prime? True Suppose -3*s - 117 = -828. Is s a prime number? False Let r(f) = 13*f + 13. Suppose j - 3 = -0. Suppose j*k + 6*l - 3*l = 30, 0 = l. Is r(k) a composite number? True Suppose 2*s = 6*s - 4*b - 12, 15 = s + 3*b. Suppose 4*t - 3664 = -2*o + s*o, 2752 = 3*t + o. Is t composite? True Let x = 4 - 2. Suppose -2*o - x = -6. Suppose -4*g = 16, -4*p = -p + o*g - 55. Is p composite? True Let p = 2619 + -1220. Is p a prime number? True Let i(o) = 18*o - 7. Let n be 2/(-8) - 21/(-4). Is i(n) prime? True Suppose 2*q = -3*q + 25. Let r = 28 + q. Is r prime? False Suppose 3*s = 15 + 3. Is ((s*-29)/2)/(-1) prime? False Suppose 4*c + 4*m = 428, -c - 5*m + 26 = -69. Suppose -c = -5*y + 65. Is y prime? False Suppose 0 = s - 3*q - q - 51, -2*s - 2*q = -142. Is s prime? True Is 1906/3*30/20 composite? False Let j(h) = 5*h**3 - h**2. Let w be j(1). Let z(t) = -t**2 + 5 + 4*t**2 - 4*t - 5 + 5. Is z(w) a composite number? False Let z(h) = 2*h - 1. Let y(i) = -3*i + 1. Let m(s) = 5*y(s) + 7*z(s). Let o be m(-7). Suppose -2*x = 4*d - 0*d - 74, -o*x = 5*d - 180. Is x a prime number? False Let j = 1 + -2. Let g be 62/8 - j/4. Let a = 34 - g. Is a a prime number? False Is (-12 + 15)*26/6 composite? False Let m(c) = -122*c**3 - c. Let j = 18 - 1. Suppose -j = a - 4*q, 4*a + 4*q = 2*a + 14. Is m(a) a prime number? False Is 10 + -8 - (336/(-1) - 3) prime? False Let j = 93 + -44. Is j prime? False Let p(f) be the third derivative of -5*f**4/8 - 11*f**3/6 - f**2. Let o(m) = 1. Let i(h) = -4*o(h) - p(h). Is i(6) a composite number? False Let i(w) = 2*w - 2. Let u be i(3). Suppose 4*l + l + 4*g - 431 = 0, -l = u*g - 99. Is l a prime number? True Let z = -9 - -12. Let x(m) = -m**2 + 6*m + 2. Let y be x(6). Suppose 0 = z*t + 2*q - 25, -q - q = -y*t + 20. Is t a composite number? True Let k(a) = a**3 - 12*a**2 + 12*a - 8. Let t be k(11). Let g(p) be the third derivative of 19*p**4/24 + p**3/3 + 2*p**2. Is g(t) a composite number? False Is ((-122805)/(-7))/9 - 4/14 prime? True Let i = -136 + 585. Is i composite? False Let z(d) = -170*d - 6. Let y(i) = 170*i + 5. Let w(v) = -3*y(v) - 2*z(v). Is w(-2) prime? True Suppose 5*v + 157 = 6*v. Is v a prime number? True Suppose l - 4 = -b, 4*b + 4*l - 28 = 3*l. Let w = -48 + 74. Suppose -u + w = -b. Is u prime? False Suppose 16*z - 17*z = -1441. Is z composite? True Let z(s) be the third derivative of s**4/3 - s**3 + 4*s**2. Suppose 6 = -5*d + 31. Is z(d) a prime number? False Suppose -8*y + 4*y + 2192 = 0. Suppose 5*o - 4*x + 0*x = y, 5*x + 226 = 2*o. Let p = 155 - o. Is p a prime number? True Suppose -4*l = -z - 140, 2*l - 60 = -0*z - 2*z. Is l a composite number? True Suppose 572 = -5*i + 9*i. Is i a composite number? True Suppose 3*x = -12, 2*v - 3*v - x = -36. Let c be (-6)/27 - v/(-18). Is c/4*-2*-19 a prime number? True Suppose 21 - 87 = -2*u - 2*y, 0 = -3*y. Is u a prime number? False Suppose n - 1858 = 3981. Is n a composite number? False Is -1 + 314 - (0 + -1) a prime number? False Suppose 3*w = y, -w +
{ "pile_set_name": "DM Mathematics" }
erivative of -u**7/945 - u**6/108 - u**5/45 - 210*u**2. Determine a so that c(a) = 0. -3, -2, 0 Suppose -28 = -6*i - i. Let n be i - (2 + 6)/2. Factor -12/5*l**3 - 2/5*l**5 + 8/5*l**2 - 2/5*l + n + 8/5*l**4. -2*l*(l - 1)**4/5 Let r(h) = 2*h**2 + 22*h + 56. Let u be r(-4). Let z(b) be the first derivative of 1/5*b**2 - 1/10*b**4 + 1 + u*b - 2/25*b**5 + 2/15*b**3. Factor z(g). -2*g*(g - 1)*(g + 1)**2/5 Suppose -14*f + 5*f = 2*f. What is x in -3*x**2 + f*x + 3*x**3 - 3/4*x**4 + 0 = 0? 0, 2 Let o(l) = 26*l + 14. Let j be o(2). Let t = j - 329/5. Suppose 1/5*m**2 + 0*m + 2/5*m**3 + 0 + t*m**4 = 0. What is m? -1, 0 Let m(n) = -n**2 + 12*n + 10. Let y be m(12). Factor 3*v**2 + v**2 - v**2 + y*v - 16*v. 3*v*(v - 2) Let v(q) = 9*q**2 + 9*q - 3. Let y(r) = -4*r**2 - 4*r + 2. Let u(c) = -3*c**2 - 17*c. Let d be u(-7). Let a = d + 23. Let t(l) = a*y(l) - 2*v(l). Factor t(m). 2*(m - 1)*(m + 2) Solve -1/3*o**2 - 35/3*o + 0 = 0. -35, 0 Let u = -45 - -47. Suppose -4*x - 3*w = -u*w - 12, 2*x + 2*w = 12. Find g, given that -8/11*g**x - 2/11 + 10/11*g = 0. 1/4, 1 Let q = -34 + 53. Factor -2*m**3 + 32 + m - q*m**2 + 5*m**2 - 21*m + 4*m. -2*(m - 1)*(m + 4)**2 Let n(f) = -6*f**2 + 48*f - 63. Let r(w) = -w**2 + w - 3. Let m(g) = -3*n(g) + 21*r(g). What is i in m(i) = 0? -42, 1 Let m(b) = 22*b**2 + 144*b + 348. Let a(z) = -9*z**2 - 58*z - 139. Let i(f) = 12*a(f) + 5*m(f). Factor i(o). 2*(o + 6)**2 Suppose 0 = 4*f + 5*w - 11, -2*w + 7 = f - 5*w. Factor 1/4*k**2 + 0 - 1/4*k**f - 1/4*k**3 + 1/4*k. -k*(k - 1)*(k + 1)**2/4 Let r(f) = f**5 + 2*f**4 + 2*f**3 - 2*f**2 + f. Let h(u) = -4*u**5 - 6*u**4 - 7*u**3 + 6*u**2 - 3*u. Let v(d) = 2*h(d) + 7*r(d). Solve v(n) = 0 for n. -1, 0, 1 Let m = 33/89 - -15443/356. Let f = 44 - m. What is y in 5/4*y - f - y**2 = 0? 1/4, 1 Let g = -1328 - -11956/9. Determine l, given that 2/3 + g*l - 2/9*l**2 = 0. -1, 3 Let d be (-860150)/(-25)*1/8. Let o = d + -4264. Factor -o*y**3 + 18*y - 3 - 63/4*y**2. -3*(y + 1)*(7*y - 2)**2/4 Suppose -3*m - 4*o = -11 - 12, m + 3*o - 16 = 0. Let j(w) be the first derivative of 2/9*w**3 + 0*w**2 - 2/3*w + m. Factor j(z). 2*(z - 1)*(z + 1)/3 Suppose -2*i = -10 + 6. Solve -i - 2 + 4*h**2 + 4*h - 4*h**3 + 0*h**2 = 0. -1, 1 Let j be -3 + ((-12)/4 - 1406/(-228)). Let a be ((-1)/2)/(-5 - -2). Factor 1/6 - 1/6*d**3 + a*d - j*d**2. -(d - 1)*(d + 1)**2/6 Let k(j) be the first derivative of 0*j + 1/18*j**6 + 25/12*j**4 - 2/3*j**5 + 0*j**3 - 22 + 0*j**2. Find b such that k(b) = 0. 0, 5 Let l be 742 - (-2 - 1)/(-1). Let t = l + -6643/9. Factor -t*z**4 - 4/9*z**2 - 2*z**3 + 0 + 0*z. -2*z**2*(z + 2)*(4*z + 1)/9 Let c(l) be the second derivative of -l**6/150 + 7*l**5/100 + l**4/20 - 19*l**3/30 - 7*l**2/5 - 243*l + 1. Find s such that c(s) = 0. -1, 2, 7 Suppose -48*b + 38099 = 38003. Determine k, given that 147/2*k + 3/2*k**3 + 0 - 21*k**b = 0. 0, 7 Suppose 50*s + 40 - 70 = 70. Find q, given that 14/3 - 4/3*q**s + 26/3*q = 0. -1/2, 7 Let z(q) be the second derivative of -3*q**5/100 + 13*q**4/20 - 24*q**3/5 + 54*q**2/5 + q + 79. Factor z(d). -3*(d - 6)**2*(d - 1)/5 Suppose 0 + 36/7*c - 44/7*c**3 - 8/7*c**5 - 44/7*c**4 + 60/7*c**2 = 0. Calculate c. -3, -1/2, 0, 1 Let l be (-259)/148*1780/(-14). Let g = l - 221. Factor 0 - 3/4*p + g*p**2 - 3/4*p**3. -3*p*(p - 1)**2/4 Suppose 0 = -u - 2*b - 2*b - 9, 0 = 4*u + 3*b - 3. Let m be (-2 - (-9)/u)*9. Factor 5*h + 16*h**2 - h - m*h - 4*h**3 - 15*h + 8. -4*(h - 2)*(h - 1)**2 Let j(w) be the second derivative of w**5/4 - 115*w**4/2 + 455*w**3/2 - 340*w**2 + w + 17. Determine g, given that j(g) = 0. 1, 136 Let w(m) = 2*m**3 - 15*m**2 - 5*m + 21. Let f(v) = -4*v**3 + 29*v**2 + 11*v - 43. Let d(h) = -3*f(h) - 7*w(h). Factor d(o). -2*(o - 9)*(o - 1)*(o + 1) Let k be 58/(-4) - (-2 + 5) - -3. Let t = k - -91/6. Solve 7/3*o**2 + t + 3*o = 0 for o. -1, -2/7 Let a(l) be the second derivative of 11*l + 0 + 0*l**2 + 25/33*l**3 + 1/110*l**5 - 5/33*l**4. Factor a(m). 2*m*(m - 5)**2/11 Factor -2/3*i**3 + 2/15*i**2 + 0*i + 0. -2*i**2*(5*i - 1)/15 Let x(t) be the first derivative of -25 - 75/4*t**4 + 85/3*t**3 + 20*t + 60*t**2. Factor x(u). -5*(u - 2)*(3*u + 2)*(5*u + 1) Let t(v) = 3*v. Let i be t(-3). Let g = i + 11. Factor a**g - 3 - 4*a**2 - 6*a + 0. -3*(a + 1)**2 Suppose -3 = u + 2, 4*f + 5*u - 3 = 0. Let q(o) be the first derivative of 2/5*o**5 - o**2 - 2/3*o**3 + 0*o + 1/2*o**4 + f. Factor q(h). 2*h*(h - 1)*(h + 1)**2 Let z be (-1 - 3) + (3616/318 - 6). Let h = z + -2/53. Find w, given that -2/3*w - h + 2/3*w**2 = 0. -1, 2 Let w(m) be the third derivative of -m**6/30 - 2*m**5/5 + 7*m**4/6 + 98*m**2. Factor w(i). -4*i*(i - 1)*(i + 7) Let f = -13 + 60. Factor -6 - f*g**2 - 17*g**4 + 2*g**4 + 33*g - 16*g**2 - 177*g**3 + 228*g**3. -3*(g - 1)**3*(5*g - 2) Let g(d) be the third derivative of 25*d**2 + 0*d**4 + 0*d**3 + 1/504*d**8 + 0*d + 0 + 0*d**5 + 1/90*d**6 + 1/105*d**7. Factor g(v). 2*v**3*(v + 1)*(v + 2)/3 Let l(w) be the second derivative of -5/12*w**4 + 10/3*w**3 + 0 + 22*w + 0*w**2. Factor l(v). -5*v*(v - 4) Let g(s) be the first derivative of 1/2*s + 1/8*s**2 + 10 - 1/12*s**3. Factor g(m). -(m - 2)*(m + 1)/4 Let j(d) = -5*d**2 - 29*d - 16. Let b be j(-5). Let i(a) be the second derivative of 1/7*a**2 - 1/84*a**b + 0 + 5*a + 1/42*a**3. Let i(x) = 0. Calculate x. -1, 2 Let g(w) = -w**4 - w**2 + w. Let n(o) = 7*o**4 - 5*o**3 - 7*o**2 - 13*o. Let y(a) = -6*g(a) - n(a). Find i such that y(i) = 0. -1, 0, 7 Let h = -19 + 19. Suppose 6*v - 19 = v + 3*b, 5*v - 4*b - 22 = 0. Factor -v + 3 - y**2 + 0*y + h*y. -(y - 1)*(y + 1) Let u be 51 - 53 - (-43)/20. Let k(y) be the first derivative of -5/12*y**3 + 0*y - 2 - 7/16*y**4 - 1/8*y**2 - u*y**5. Suppose k(x) = 0. What is x? -1, -1/3, 0 Suppose -2*g + 8 + 7/2*g**3 - 1/2*g**4 - 6*g**2 = 0. Calculate g. -1, 2, 4 Let m(o) be the third derivative of 0*o + 1/270*o**5 + 0*o**4 - 14*o**2 + 0 + 1/540*o**6 + 0*o**3. Factor m(r). 2*r**2*(r + 1)/9 Let h = 73 + -71. Find v, given that 65*v**h - v**5 + v - 33*v**2 - 34*v**2 + 2*v**4 = 0. -1, 0, 1 What is y in -20/7*y**3 + 0*y + 0 + 4/7*y**4 - 200/7*y**2 = 0? -5, 0, 10 Solve -1 + 8*k + 6*k + 51*k + 9*k**2 - 9*k + 13 = 0 for k. -6, -2/9 Let a(g) be the second derivative of -g**6/165 - g**5/55 + 7*g**4/66 - 4*g**3/33 - 58*g + 2. Solve a(i) = 0 for i. -4, 0, 1 Let 0 + 1/2*i**2 - 1/2*i = 0. Calculate i. 0, 1 Let a be 2/(-8) + (-189)/12 + -5. Let s be ((-3)/2 + 0)*(19 + a). Factor -1/4*f**5 + 0 + 1/2*f**s + 0*f**4 + 0*f**2 - 1/4*f. -f*(f - 1)**2*(f + 1)**2/4 Suppose -48 = 4*z + 8*z. Let x be (-90)/z*(147/(-30) + 5). Suppose 9/4*p**2 + 0 - 3/4*p + 3/4*p**4 - x*p**3 = 0. Calculate p. 0, 1 Let i(t) be the third derivative of -t**6/780 + 19*t**5/130 - 261*t**4/52 - 841*t**3/39 + 117*t**2. Factor i(f). -2*(f - 29)**2*(f + 1)/13 Let b(w) = -7*w**2 + 6*w. Suppose -2*u + 4 = v, -4*v + 5*u = -0*v - 55. Let q(i) = 3*i**2 - 3*i. Let c(j) = v*q(j) + 4*b(j). Factor c(t). 2*t*(t - 3) Find f, given that -144*f + 15 + 21*f - 69 + 5*f - 46*f**2 - 110*f + 8*f**3 = 0. -3, -1/4, 9 Let w(o) be the second derivative of o**4/27 + 32*o**3/27 + 14*o**2 + 4*o - 5. Factor w(x). 4*(x + 7)*(x + 9)/9 Factor -32*s**2 + 317*s + 4 - 2*s**3 - 307*s + 20*s**3. 2*(s - 1)**2*(9*s + 2) Let w(i) be the third derivative of i**9/10080 + i**8/1680 + i**7/720 + i**6/720 + 5*i**4/24 + 3*i**2. Let h(t) be the second derivative of w(t). Factor h(z). z*(z + 1)**2*(3*z + 2)/2 Suppose 0 = -5*s - 5*q + 2*q + 15, 5 = 3*s + q. Let j(b) be the first derivative of 2/5*b**3 + s*b - 5 + 0*b**2 + 9/20*b**4. Factor j(k). 3*k**2*(3*k + 2)/5 Let s(n) be the third derivative of n**9/13608 - n**7/1260 - n**6/810 - 10*n**3/3 - 21*n**2. Let a(d) be the first derivative of s(d). Factor a(i). 2*i**2*(i - 2)*(i + 1)**2/9 Let w be (512/56)/((-12)/(-56)). Suppose -16*t**2 + 8/3*t**3 - 1/6*t**4 - w + 128/3*t = 0. Calculate t. 4 Let d be 10/25*5/6. Solve -13/3*v + 7/3*v**4 + 22/3*v**2 - 6*v**3 + 1 - d*v**5 = 0. 1, 3 Let -56/5 - 22/5*s**2 - 2/5*s**3 - 64/5*s = 0. What is s? -7, -2 Let s(n) = 55*n - 110. Let m be s(2). What is u in -6*u**4 - 22/3*u**3 + m*u**2 + 0 - 4/3*u**5 + 8/3*u = 0? -2, -1, 0, 1/2 Let q(m) be the third derivative of -m**6/40 - 2*m**5/5 - 17*m**4/8 - 5*m**3 - 61*m**2. Find c such that q(c) = 0. -5, -2, -1 Let p be (-12)/(-10)*(-5)/(-2). Suppose 37 = 3*i - 5*k, 3*k - 2*k - 7 =
{ "pile_set_name": "DM Mathematics" }
/96 + 1/(-3)*-1. 80 Let h(i) = -i**2 - 17*i - 28. Let l be h(-15). Calculate the common denominator of (7/l)/(3/(-33)) and -91/12. 12 Let m(z) = -2*z + 4. Let c(b) = -b + 1. Let u(h) = 11*c(h) - 4*m(h). Let i = -6 + 13. Calculate the least common multiple of u(-4) and i. 7 Let t = 4398/5 + -892. Find the common denominator of 7/52 and t. 260 Let g = 617665/24 + -25742. What is the common denominator of g and -32/3? 24 Suppose -180 = 4*k - k. What is the common denominator of 8/(-42)*(8 + 100)/6 and 292/(-6)*(-9)/k? 70 Let w be -2 + (4 - 2) - -129. Find the common denominator of w/(-22)*(-1)/12*-8 and 37/10. 110 Let y(q) = -32*q + 1. Let p be y(-7). Calculate the common denominator of (-6)/(-15)*p/24 and (6/(-8))/((-10)/78). 20 Let l = 713 - 4235/6. What is the common denominator of l and 2/5 - 739/60? 12 What is the common denominator of 3/(-30) - (0 - 860/(-25)) and 77/38? 38 Calculate the smallest common multiple of (-16 - -22)*(-156)/9*-3 and 7. 2184 Let r = 14 + -8. Let u(g) = 30*g - 17*g - 13 - 11*g. What is the smallest common multiple of u(7) and r? 6 Suppose 3*j = f + 7, 0 = j + 3*f + f - 24. What is the common denominator of (-2)/(-1) - 118/(-24) and 271/(-36) - (j/(-2))/(-8)? 36 Let d = 98 + -90. Suppose n + 2 - 12 = 0. Calculate the lowest common multiple of n and d. 40 Let p = 1154/435 + -53/20. Calculate the common denominator of -93/52 and p. 4524 Suppose d = 4*t + 35, 4*d + 10 = -4*t - 10. Let m = 37/21 - -8/21. Calculate the common denominator of 129*(-3)/108 - 6/t and m. 42 Suppose 0 = -0*t + 4*t - 44. Let q = t - 5. Calculate the least common multiple of 1 and (-48)/15*(-15)/q. 8 Let c = 11 - 2. Calculate the smallest common multiple of 130/30 + (-3)/9 and c. 36 Let o(t) = t**3 - 3*t**2 - 6*t + 3. Let k be o(3). Suppose 182 - 57 = 5*z. Let a = z + k. What is the least common multiple of a and 14? 70 Let l = 210 + -207. What is the least common multiple of 117 and l? 117 Calculate the common denominator of 111/10 and (-35)/5 + 4585/660. 660 Let a = 30 - 23. Calculate the common denominator of (17/2)/(-3 + a) and -113/10. 40 Let m be (-1283)/616 + 6/(-21). Let i = 3/616 + m. Calculate the common denominator of -17/3 and i. 33 Let m = 206 - 198. Suppose 5*i - 18 = -3*h + 34, -3*h = 3*i - 42. Calculate the smallest common multiple of m and h. 72 Suppose -i + 10 = a, 3*i - i - 5*a = 27. Suppose -i*t + 196 = 42. What is the lowest common multiple of t and 42? 42 Suppose 0 = -12*p + 16*p - 24. Suppose p*w - 391 = -109. Let u = -203 + 861/4. Calculate the common denominator of w and u. 4 Let w = -1 - -10. Suppose -1 = 2*o - 19. Calculate the least common multiple of o and 97/w - 6/(-27). 99 Let i(r) = 3*r + 22. Let p be i(-8). What is the least common multiple of 1/p*(-2356)/19 and 2? 62 What is the common denominator of 182/180 - (-6 + (-180)/(-27)) and -75/2? 90 Let n(b) = -b**3 - b**2 - 2*b - 12. Let y be n(0). Calculate the common denominator of 71/20 and ((-9)/y)/((-54)/(-356)). 180 What is the common denominator of (-3482)/(-12012) - (5 - (-477)/(-99)) and 11/8? 2184 Let k(q) = 3*q**2 - 3*q + 2. Suppose -26*t + 144 = -10*t. What is the least common multiple of t and k(2)? 72 Suppose 8 = -18*w + 20*w. Suppose w*n + s = 52 - 19, 5*n = 5*s + 35. Suppose -3*b = -23 + n. Calculate the least common multiple of 9 and b. 45 Let t = 15/11896 + -82745/761344. What is the common denominator of t and 115/12? 1536 Let k = -211541900935981/37596 - -5626712979. Let w = 5/3133 - k. Let r = -379/304 + 32/19. Find the common denominator of r and w. 48 Let j = -85 - -127. Calculate the common denominator of (-14)/j*(-462)/4 and (-3)/(-6) - 411/18. 6 Let z = 1 + -23. Calculate the common denominator of (-3)/(z/62 - -1) and 61/10. 20 Let r = 4 - -20. Let a be (-210608)/r*21/40. Let h = -4612 - a. What is the common denominator of -137/6 and h? 60 Let i(a) = -40*a - 74. Calculate the smallest common multiple of i(-5) and 28. 252 Let c = 284581/7 + -40759. Let u = -855/14 - c. Let y = 176613/22 - 8024. What is the common denominator of u and y? 22 Let r(l) = 1 + 2 + l - 9*l + 25. What is the lowest common multiple of 12 and r(0)? 84 Suppose l - 64 = 2*v, -4*l + 0*v + 2*v = -244. What is the smallest common multiple of l and 54? 540 Suppose -63 = -u - 9. Suppose r - u = 3*r. What is the common denominator of 44/3 and (-630)/r + 1*-1? 3 Let v = 512 - 506. Calculate the lowest common multiple of 649 and v. 3894 What is the lowest common multiple of 37351/328 - ((-51)/24 + 2) and 19? 114 Let s = -61 - -65. Suppose s*q = -q - 5*y + 210, 5*y - 10 = 0. Calculate the lowest common multiple of q and 16. 80 Suppose -v - 5*b - 5 = 0, 0*v - 5*v + 2 = -2*b. Let u(o) = 3*o - 17. Let n be u(9). Let g = n + v. What is the least common multiple of 16 and g? 80 Let s be -11 - -7 - (-21364)/1. Suppose 10*v - s = 6*v. Let u = v - 96151/18. What is the common denominator of u and 19/22? 198 What is the common denominator of -89/246 and (-2)/(-7) + 19640/2800? 1230 Suppose 0 = a - 0*a - 2. Suppose 0 = -o - l + 40, -4*l = -3*o - 2*o + 245. What is the lowest common multiple of a and 4/10 + 12/o*21? 6 Let i be 5*(3 + -4 + 7)/2. Suppose -5*x - i = -10*x. Calculate the smallest common multiple of 24 and x. 24 Let i(r) = r**2 + 3*r + 13. Let a be i(-4). Suppose 53 + a = 5*z. Calculate the common denominator of 5/4 and (-1)/(-2) - z/9. 36 Suppose 4*q + 17 = 5*n, -9*n + 12*n = 3. Let i = 1 - 1. Calculate the least common multiple of 6 and -2*(-3 + i) - q. 18 Suppose -2*h + h = -5. Let c = h + -2. Suppose 2*n - 11 = c. Calculate the smallest common multiple of 6 and n. 42 Let w = 43 - 39. Suppose -w*k = k + 2*g - 38, -42 = -5*k - 3*g. Calculate the smallest common multiple of 4 and k. 12 Suppose 60*d + 0 - 224 = -52*d. Let b = -2 - -3. What is the smallest common multiple of d and (1/2)/(b/2)? 2 Let i = -1045 - -10423/10. What is the common denominator of i and -49/5? 10 Let l = 43686/11 + -306675907/77220. Let t = l + 3226409/7020. Let h = t - 457. Calculate the common denominator of h and -13/3. 15 Let t = 148 + -142. Calculate the lowest common multiple of 2 and t. 6 Let l be (3282/8 - 3)/(21/70). Let h = 1322 - l. Find the common denominator of h and 1/(-4)*7*1. 4 Let t = 7793/8 + -981. Calculate the common denominator of (1/(-36))/(1/25) and t. 72 Suppose 4*h - 4*u - 10 = 18, 0 = 5*h - 4*u - 35. Calculate the smallest common multiple of 11 and h. 77 Let t be (-2)/(-4)*(-1183)/52. Let x = 169/8 + t. Find the common denominator of 119/10 and x. 20 Let m = 100951/10 - 10107. Let r = -72505/13368 + 120/557. Find the common denominator of m and r. 120 Find the common denominator of -91/432 and ((1 + 2)/(-36))/((-528)/(-1353)). 1728 Let w be (-12 + 10)/(3 + -1). Let r be (-1*(-3 - -2))/w. Calculate the common denominator of 69/2 and 500/(-56)*r + -2. 14 Find the common denominator of 3/(-4)*(-1078)/(-63) - 0 and -97/710. 2130 Let r = 10/6299 + -290544/497621. What is the common denominator of r and 67/6? 474 Let s = 37 - 35. Suppose s*l - 5*k = 51, l + 3*l - 87 = 5*k. Let x = l + -21. What is the common denominator of x and -39? 1 Let c(f) = f - 2*f - 2 + 3*f - 3*f. Suppose -12*a = -20*a + 320. Calculate the lowest common multiple of a and c(-6). 40 Let i(y) = y - 6. Let q be i(0). Find the common denominator of (2/66)/(398/(-66267)) and 532/q*(-1)/12. 198 Suppose -384 = 41*a - 47*a. What is the smallest common multiple of 18 and a? 576 Let w(o) = o**2 - 5*o + 4. Calculate the lowest common multiple of 7 - -1 - (-107 + 98) and w(6). 170 Suppose 3*y - 4 - 14 = 0. Let a be (-2652)/104*((-2)/(-6) + -1). Suppose 2*c - 10 - 12 = -2*x, -3*c = x - a. What is the least common multiple of x and y? 24 Let p(k) = 485*k + 1. Let y be p(8). Let m = y + -151369/39. Let h = m + -796/39. What is the common denominator of 39/11 and h? 33 Let o(a) = a**3 - a**2. Let b be o(3). Let f = b - 7. What is the smallest common multiple of f and 4? 44 What is the common denominator of (-11)/(-21)*135/(-18) and -59/554? 3878 Let n be (-1)/4 - 235*2/8. Let u = -55 - n. What is the least common multiple of u and 13? 52 Calculate the common denominator of 69/20 and (274/(-36))/(288/27 - 13). 420 Let h = 10 - 6. Suppose 0 = -5*o + 3*m + 115, -3*o - 14 = 4*m - 112. Calculate the smallest common multiple of o
{ "pile_set_name": "DM Mathematics" }
*3 - 422*m wrt m. -6540 Let o(l) = -1288*l - 2458. Let x(v) = -1287*v - 2445. Let j(a) = -4*o(a) + 5*x(a). What is the first derivative of j(s) wrt s? -1283 Suppose -u - 2*r + 1 = -4, -u + 8 = r. Suppose -3*j + 2*d = -j - 14, j + 5*d - 25 = 0. Find the second derivative of -12*n**3 + 6 + u - j*n - 17 wrt n. -72*n Let g(o) = o**2 + 4*o - 31. Let b be g(-9). Suppose -b*c + 19*c - 150 = 0. What is the third derivative of -3591*l + 3591*l + c*l**4 + 26*l**2 wrt l? 720*l Suppose -20 = -7*p + 15. Suppose -4*y + 5*c - 6*c + 15 = 0, -10 = -p*y - 3*c. What is the second derivative of 0*t**5 - 6*t + 5*t**y - 6*t**5 wrt t? -20*t**3 Let x = -89 - -144. Differentiate -16*k + 7 + x - 15 wrt k. -16 Let m = 1997 - 1997. Let d(c) be the third derivative of 0*c + 0 + 7/3*c**3 + m*c**4 + 7*c**2 + 1/30*c**6 + 0*c**5. Find the first derivative of d(l) wrt l. 12*l**2 Let p(o) be the second derivative of 21*o**5/10 + 3*o**4 + 2*o**3/3 + 817*o**2/2 - 78*o - 2. Find the second derivative of p(d) wrt d. 252*d + 72 Find the third derivative of 1886*m**4 - 2575*m**2 - 314*m**2 + 182*m**2 + 480*m**4 wrt m. 56784*m Let b = 96 + -66. Let l be (-4)/(-30) - 4/b. Find the first derivative of 5*n**4 - 2*n**4 + 3 + l*n**4 - 4 wrt n. 12*n**3 Let q(p) be the third derivative of p**6/15 + 73*p**5/60 - p**4/24 + 889*p**3/3 + 879*p**2 - 1. Differentiate q(k) wrt k. 24*k**2 + 146*k - 1 Let r be (2*2)/(1 - 0). Let k(l) = 12*l**2 + 10*l + 10. Let c be k(-1). Differentiate 30 + 35*t**r - c*t**4 - 5 wrt t. 92*t**3 Let i(r) be the third derivative of 33/8*r**4 + 5 + 0*r**5 + 0*r + 1/105*r**7 + 0*r**3 - 13*r**2 - 79/120*r**6. What is the second derivative of i(p) wrt p? 24*p**2 - 474*p Let k(d) be the second derivative of -11*d**6/6 + 7*d**4/12 - 389*d**3/6 - 489*d. Find the second derivative of k(z) wrt z. -660*z**2 + 14 Suppose 0 = -5*c + 4*a + 14, -a + 2*a + 20 = 4*c. What is the third derivative of -h**3 + 7*h**2 - 62*h + 22*h - 12*h**c + 41*h wrt h? -1440*h**3 - 6 Let w(k) = 1600*k**3 - 451*k**2 - 3*k + 2. Let t(b) = -1603*b**3 + 448*b**2 + 2*b - 1. Let i(l) = -3*t(l) - 2*w(l). Find the third derivative of i(j) wrt j. 9654 Let m(t) = 6*t - 9 + 8*t - 17*t + 4. Suppose -3*k - 5 = 4*z, 3*k - 5*k = -2*z - 6. Let x(d) = d - 1. Let l(p) = k*m(p) - 6*x(p). Differentiate l(u) wrt u. -9 Find the first derivative of 425 - 188 + 218 - 1409*n**4 wrt n. -5636*n**3 Let l(w) be the second derivative of 53/12*w**4 - 2*w + 0*w**2 + 19 + 65/6*w**3. Find the second derivative of l(q) wrt q. 106 Let v be (8/(-6) - -1)*(-583 - -581). Let b(f) be the first derivative of 0*f**2 - v*f**3 + 3*f + 13. Find the first derivative of b(x) wrt x. -4*x Let m(g) be the third derivative of -g**7/42 - 1253*g**5/60 + 3013*g**3/3 - 13*g**2 + 17*g - 11. Differentiate m(k) wrt k. -20*k**3 - 2506*k What is the derivative of -2706*x + 1045*x - 896*x + 10429 wrt x? -2557 Let a(p) be the third derivative of -181*p**7/70 - 97*p**3/2 + 3*p**2 + 122. Find the first derivative of a(z) wrt z. -2172*z**3 Suppose 5*k - r - 3*r + 5 = 0, 4*k = -3*r + 27. What is the second derivative of 3*v**5 + 6*v**k + 72135*v**2 - 1 + 12*v - 72135*v**2 wrt v? 60*v**3 + 36*v Let b = -10481 + 10485. Let f(d) be the third derivative of 39*d**2 + 0*d**3 - 2/5*d**5 + 37/24*d**b + 0*d + 0. What is the second derivative of f(x) wrt x? -48 Suppose 0 = -211*x + 207*x - 24, -5*w - 6 = x. Let z(t) be the first derivative of 19 + 7/3*t**3 + w*t**2 + 5*t. Differentiate z(d) wrt d. 14*d Let j be (-1)/2 - (-10)/4. What is the first derivative of 5*m - 2 + 0*m + 6 + 36*m**j - 5*m wrt m? 72*m What is the third derivative of -429*x**4 + 267*x**4 - 459*x**2 - 283*x**4 - 341*x**4 wrt x? -18864*x Let p(j) be the first derivative of -j**4/4 + 206*j**2 - 863*j + 77. Find the first derivative of p(r) wrt r. -3*r**2 + 412 Let h(y) = 212*y**3 - 24*y**2 - 1064*y + 46606. Let d(j) = 27*j**3 - 3*j**2 - 133*j + 5826. Let f(u) = -47*d(u) + 6*h(u). Differentiate f(n) wrt n. 9*n**2 - 6*n - 133 Let o = 297 + -144. Find the first derivative of -2*g + o - 121 - 94 - 27*g**2 wrt g. -54*g - 2 Find the second derivative of -286*u - 1253*u**5 + 277*u - 1207*u**5 - 3 - 3 + u**4 + 499*u**5 wrt u. -39220*u**3 + 12*u**2 Let i(m) be the second derivative of -m**6/6 - m**4/4 - 1251*m**2/2 - 1628*m. Differentiate i(v) wrt v. -20*v**3 - 6*v Suppose -3 = 2*r + m - 5, 5*r + 4*m = 2. Suppose -92 = -5*d + 4*j, 3*d - 17 = d - 5*j. What is the derivative of 2*t**3 + 5*t**2 + 2*t**3 - d - 5*t**r wrt t? 12*t**2 Suppose -410 - 115 = -3*q. Let b be q - 2/(10/15). Find the third derivative of b*g + 19*g**2 - 172*g - 5*g**3 wrt g. -30 Suppose 0 = 46*f - 43*f - 51. What is the second derivative of -12 + u - 21 + f*u**5 + 35 wrt u? 340*u**3 Let k(s) be the third derivative of 52*s**7/105 - s**6/30 + 1313*s**5/60 - 2126*s**2. Find the third derivative of k(c) wrt c. 2496*c - 24 Let q = 1824 + -3625/2. Let u(r) be the first derivative of 0*r + 0*r**3 + q*r**2 + 20 + 17/4*r**4. Find the second derivative of u(c) wrt c. 102*c Find the first derivative of -862*l**3 + 437*l**3 + 424*l**3 + 83 - 2160*l**2 wrt l. -3*l**2 - 4320*l Let z = 213 - 101. Suppose 10*u + z - 322 = 0. What is the first derivative of u*n + 19*n - 67*n + 20*n - 14 wrt n? -7 Let t(r) be the third derivative of r**7/70 + 9*r**6/20 - 389*r**5/60 - 60*r**2. Find the third derivative of t(u) wrt u. 72*u + 324 Let y(h) be the third derivative of 1861*h**8/336 + 3187*h**4/24 + 2353*h**2. Find the second derivative of y(w) wrt w. 37220*w**3 Let j(i) be the second derivative of -1987*i**5/10 - 3685*i**2/2 - 3828*i. Differentiate j(o) with respect to o. -11922*o**2 Let h(u) be the third derivative of 1139*u**5/20 + 2113*u**4/8 + 8*u**2 + 14*u - 1. What is the second derivative of h(v) wrt v? 6834 What is the second derivative of 1480*k**2 + 65*k - 16 - 7 + 20 + 5223*k**2 - 19 wrt k? 13406 Let z(y) be the second derivative of 0*y**4 + 0*y**2 + 9/2*y**3 + 0 + 1/6*y**6 + 174*y - 2/7*y**7 + 0*y**5. Find the second derivative of z(b) wrt b. -240*b**3 + 60*b**2 Find the third derivative of 1 - 7*z - 6*z + 19147*z**6 + 12*z - 1104*z**2 - 14950*z**6 wrt z. 503640*z**3 What is the third derivative of -31 + 20 - 89*a**2 - 75*a**2 - 42*a**2 + 4957*a**6 wrt a? 594840*a**3 Let g be 3/2*((-2)/(-3) - -2). Let u(i) = -i**2 + 7*i - 9. Let h be u(g). What is the third derivative of -33*n**2 + 31*n**6 - 3*n + 0*n + h*n wrt n? 3720*n**3 Let a be 4*(-21)/14*(-2)/4. What is the first derivative of -33*t**3 + 68*t**a - 29*t**3 + 16 - 2*t**4 wrt t? -8*t**3 + 18*t**2 Let v(i) be the third derivative of -1/24*i**4 + 2*i + 0 + 1/6*i**3 - 7/6*i**5 + 179*i**2. Find the second derivative of v(y) wrt y. -140 Let x(v) be the first derivative of 73*v**5/120 - 35*v**4/24 - 19*v**3/3 - 14. Let l(d) be the third derivative of x(d). What is the derivative of l(a) wrt a? 73 Let j(h) = -492*h**4 - 8*h**3 - 25*h + 6030. Let d(v) = -v**4 + 5*v + 1. Let p(g) = 5*d(g) + j(g). What is the derivative of p(m) wrt m? -1988*m**3 - 24*m**2 What is the second derivative of -4*b - 543 - 390*b**2 + 2648*b**2 - 1025*b**2 wrt b? 2466 Find the second derivative of -24*x + 179*x**4 + 12*x**2 - 33*x**2 + 12 + 21*x**2 wrt x. 2148*x**2 Let d(a) be the second derivative of 1616*a**6/5 - a**4/6 + 13*a**3/3 - a**2 - 28*a + 16. Find the third derivative of d(i) wrt i. 232704*i Let c = 261 + -256. Find the first derivative of -63 - 16*t**3 + 11*t**3 + 64*t**3 - 3*t**4 + c*t**4 wrt t. 8*t**3 + 177*t**2 Let p(x) be the third derivative of -12*x + 0 - 47/24*x**4 + 10/3*x**3 - x**2. Find the first derivative of p(j) wrt j. -47 Let q(j) be the first derivative of 391*j**3 + 1193*j - 95. What is the first derivative of q(i) wrt i? 2346*i Find the second derivative of 40 + 20*y + 2450*y**3 - 6*y + 1128*y**5 - 2450*y**3 - 57 wrt y. 22560*y**3 Let c(n) be the first derivative of -32*n**5/5 - 125*n**4/4 + 163*n**3/3 - 5*n**2/2 + 7715. Find the third derivative of c(y) wrt y. -768*y - 750 Let m = 20 + 8. Suppose -12*r - m = -14*r. Differentiate 13*i + r + 9 - 27 + 7 wrt i. 13 Let u(t) be the first derivative of t**6/3 - 808*t**5/5 - 5*t**3/3 - 297*t**2/2 + 4545. Find the third derivative of u(l) wrt l. 120*l**2 - 19392*l Let l be (-3 + 2 - (-4 - 2)) + -1. Find the third derivative of 2 + 105*g - g**l - 21*g**2 - 105*g - 3*g*
{ "pile_set_name": "DM Mathematics" }
ree letters picked without replacement from amdimbbbmabaggm. Give prob of sequence adg. 1/455 What is prob of sequence llss when four letters picked without replacement from lsllsllllsllllll? 3/140 Four letters picked without replacement from lajxjuj. Give prob of sequence uaxj. 1/280 What is prob of sequence add when three letters picked without replacement from adbadhzddbbd? 1/33 What is prob of sequence xwhh when four letters picked without replacement from {x: 3, w: 1, j: 3, t: 5, s: 2, h: 1}? 0 Calculate prob of sequence nnnn when four letters picked without replacement from nnnznznn. 3/14 Four letters picked without replacement from {b: 5, s: 4, k: 1, v: 2, h: 5, j: 3}. Give prob of sequence bvbs. 4/2907 Four letters picked without replacement from {a: 4, i: 1, c: 1, t: 8, x: 6}. What is prob of sequence tacx? 8/4845 Three letters picked without replacement from {g: 3, w: 4, x: 6, m: 2}. What is prob of sequence xwg? 12/455 Calculate prob of sequence ijll when four letters picked without replacement from jjljiljjlilijiij. 1/104 Calculate prob of sequence yyy when three letters picked without replacement from yyyyyy. 1 What is prob of sequence yls when three letters picked without replacement from kkkkcklkckysc? 1/1716 What is prob of sequence qlb when three letters picked without replacement from dgggllgooqggbqglg? 1/680 Three letters picked without replacement from qzwqubza. Give prob of sequence wzz. 1/168 Two letters picked without replacement from desrssrededsr. Give prob of sequence rs. 1/13 Calculate prob of sequence sus when three letters picked without replacement from {s: 7, u: 1}. 1/8 Two letters picked without replacement from yyxraoyyavyoyy. Give prob of sequence va. 1/91 What is prob of sequence ku when two letters picked without replacement from ukk? 1/3 Three letters picked without replacement from ieeieiieee. Give prob of sequence iie. 1/10 Two letters picked without replacement from {x: 2, d: 4, o: 1}. What is prob of sequence do? 2/21 Four letters picked without replacement from qmwllsqwll. What is prob of sequence swlw? 1/630 Two letters picked without replacement from {d: 6, s: 10, o: 4}. What is prob of sequence dd? 3/38 Three letters picked without replacement from {s: 7, m: 4, t: 4, u: 1, r: 4}. Give prob of sequence tmt. 2/285 What is prob of sequence khxq when four letters picked without replacement from {x: 1, k: 1, q: 8, i: 7, h: 2}? 1/5814 What is prob of sequence st when two letters picked without replacement from dstttcl? 1/14 Calculate prob of sequence iia when three letters picked without replacement from giararragcj. 0 Two letters picked without replacement from uhgshht. What is prob of sequence gg? 0 Calculate prob of sequence uum when three letters picked without replacement from ijujmjmimjmjjilum. 1/408 Calculate prob of sequence jh when two letters picked without replacement from {h: 3, j: 5, b: 8}. 1/16 What is prob of sequence yyyy when four letters picked without replacement from yyyyyy? 1 Calculate prob of sequence kkgg when four letters picked without replacement from {k: 11, g: 3}. 5/182 Calculate prob of sequence yb when two letters picked without replacement from yybyyyyy. 1/8 What is prob of sequence zown when four letters picked without replacement from {n: 2, z: 8, o: 1, w: 6, g: 1}? 1/765 What is prob of sequence vvs when three letters picked without replacement from {s: 3, v: 3, o: 1}? 3/35 Three letters picked without replacement from {x: 1, u: 1, j: 1}. Give prob of sequence uxj. 1/6 Three letters picked without replacement from {b: 2, y: 1, t: 1, n: 2, f: 1}. What is prob of sequence ybt? 1/105 What is prob of sequence fji when three letters picked without replacement from {w: 8, f: 2, i: 1, y: 2, j: 2}? 2/1365 Three letters picked without replacement from {v: 5, h: 1, t: 1, c: 5, a: 3, n: 3}. What is prob of sequence ach? 5/1632 Three letters picked without replacement from {a: 2, p: 3}. Give prob of sequence aaa. 0 Calculate prob of sequence raar when four letters picked without replacement from {a: 2, r: 8}. 1/45 Four letters picked without replacement from xxjjybbbybbjjjy. Give prob of sequence jyyj. 1/273 Calculate prob of sequence dchb when four letters picked without replacement from {b: 4, c: 5, d: 5, h: 6}. 5/969 Two letters picked without replacement from vvavaaaavvaa. What is prob of sequence av? 35/132 Four letters picked without replacement from {m: 4, y: 2, q: 4, p: 1, j: 7}. What is prob of sequence mpyy? 1/9180 What is prob of sequence qqi when three letters picked without replacement from {i: 1, q: 11}? 1/12 What is prob of sequence ppjp when four letters picked without replacement from {g: 1, j: 2, w: 6, p: 4}? 2/715 Two letters picked without replacement from {g: 3, y: 3, u: 2, n: 3, f: 2}. Give prob of sequence nn. 1/26 Three letters picked without replacement from vqyynnnynvnvnjyyay. What is prob of sequence aja? 0 Calculate prob of sequence zurp when four letters picked without replacement from uwwzuuwruwuprrwwup. 1/2040 Two letters picked without replacement from {m: 8, b: 2, t: 2}. Give prob of sequence tt. 1/66 Four letters picked without replacement from {m: 2, k: 3, h: 7}. What is prob of sequence mhmh? 7/990 Four letters picked without replacement from tqofyyfoqfiyfoifqqqf. What is prob of sequence qtyi? 1/3876 Calculate prob of sequence xi when two letters picked without replacement from {p: 3, i: 1, x: 1}. 1/20 What is prob of sequence yvwy when four letters picked without replacement from vwecyeywccyvyyv? 1/273 Calculate prob of sequence pii when three letters picked without replacement from {i: 3, p: 3}. 3/20 What is prob of sequence bllb when four letters picked without replacement from ltznbhnllbnl? 1/495 Three letters picked without replacement from {e: 2, z: 4, t: 1, y: 4, r: 1, m: 3}. Give prob of sequence ryt. 2/1365 What is prob of sequence ujj when three letters picked without replacement from jgjjkuujugujuuugk? 7/204 Two letters picked without replacement from {v: 1, i: 2, q: 2, c: 2, b: 1, g: 5}. Give prob of sequence cb. 1/78 What is prob of sequence nkc when three letters picked without replacement from {n: 4, k: 1, c: 8}? 8/429 Three letters picked without replacement from ugfgqcq. What is prob of sequence qqf? 1/105 What is prob of sequence nl when two letters picked without replacement from nlmlnolnoollllollm? 3/34 Three letters picked without replacement from kycckkpckkeuu. What is prob of sequence cpu? 1/286 What is prob of sequence or when two letters picked without replacement from {o: 1, r: 1, x: 2, w: 1}? 1/20 Calculate prob of sequence fp when two letters picked without replacement from fiifiafffaiaafaffp. 4/153 Calculate prob of sequence mm when two letters picked without replacement from {b: 14, m: 5}. 10/171 Two letters picked without replacement from dldldllldldl. Give prob of sequence ld. 35/132 Calculate prob of sequence xmnb when four letters picked without replacement from bbbbbbnbxnbnmnbbbxb. 1/969 Two letters picked without replacement from {t: 2, x: 6, a: 8, n: 2}. Give prob of sequence xt. 2/51 Two letters picked without replacement from pwywyypppppy. Give prob of sequence ww. 1/66 What is prob of sequence zibb when four letters picked without replacement from {i: 1, z: 3, u: 2, v: 1, b: 3}? 1/280 What is prob of sequence tfd when three letters picked without replacement from {f: 1, t: 2, y: 1, d: 1, g: 2, r: 1}? 1/168 What is prob of sequence qdig when four letters picked without replacement from {q: 4, g: 2, n: 1, i: 3, d: 2}? 2/495 Calculate prob of sequence zi when two letters picked without replacement from {i: 1, z: 11}. 1/12 Calculate prob of sequence yy when two letters picked without replacement from {e: 1, y: 17}. 8/9 Calculate prob of sequence ljl when three letters picked without replacement from llljlllllllllll. 1/15 Four letters picked without replacement from sgsssggsggssisisssg. Give prob of sequence iggi. 5/7752 Four letters picked without replacement from xvaxvkxrvxkxxkk. What is prob of sequence kkra? 1/2730 Three letters picked without replacement from {t: 13, j: 5}. What is prob of sequence jjt? 65/1224 Three letters picked without replacement from {q: 1, k: 4, m: 3, y: 2, e: 2}. Give prob of se
{ "pile_set_name": "DM Mathematics" }
))/j*j)/(j/(j/j**(-28))))**11)**(-50) assuming j is positive. j**8250 Simplify (((v/(((((v*v**(-1/4))/v)/v)/v)/v))/v*v)/((v*((v/v**(-2))/v)/v)/v))**(-1/9)*((v*v**(-2/11))**28)**(-15) assuming v is positive. v**(-136223/396) Simplify b**19*b*b*b**39*(b*(b/b**(-5/6))/b)/(b/(b*(b/(b**(-37)/b))/b)) assuming b is positive. b**(599/6) Simplify ((d/d**(2/5))/(d*d/((d*d**5*d)/d)))**37/((d/d**(-6))/(d*d**5))**(-1/9) assuming d is positive. d**(7664/45) Simplify (((f/f**(-1))/f)**(12/13))**(-8/3)*(f/f**5*f**(-2/9))/(f**(1/3))**(-40) assuming f is positive. f**(778/117) Simplify (j**11*j*j*j**3/j)**(-14)/((j/j**(1/2)*j)**(-12))**(1/12) assuming j is positive. j**(-417/2) Simplify ((n*n/((n/(n*n**4/n))/n))**(2/9))**(-16)*((n**(-1/5)/n)/n)**(-2/3)*n*n*n**(-1)*n**(-6)*n assuming n is positive. n**(-358/15) Simplify (((((p/p**3)/p)/(p*p**(-5)*p*p))/(p*p**(-5/3)*p/((((p**(-1/9)*p*p)/p)/p)/p)))**(-8/3))**0 assuming p is positive. 1 Simplify ((v**(-2/23))**(1/6)/(v**3)**(2/7))**(-6/11) assuming v is positive. v**(842/1771) Simplify (q**0/(q/q**(-2/3)))**(-6/13)*((q**0/q*q)/(q**2/q))**(-13) assuming q is positive. q**(179/13) Simplify (q/(((q*q*q*q**(2/3)*q)/q)/q))**13/(q**5*q*q**(1/9)/q)*(q**8*q**(-7))/(q**7/(q*q**(3/2))) assuming q is positive. q**(-545/18) Simplify (((w**(-4)/w)/w)/w**5)/(w**(-3)*w/w**(1/4))*(w*w*w**(2/23)*w**(-3/4)/w)/(w**(-6/7)/(w*(w/(w*w/(((w/w**(2/3))/w)/w*w))*w)/w)) assuming w is positive. w**(-7943/966) Simplify (((u**(2/11)*u)/(u/(u/u**(5/4))))/(u**(-1))**(1/47))/(u**(-3/5)/(u/(u*u*u**(1/15)*u*u)*u)*(u**(-2))**(-45)) assuming u is positive. u**(-2838751/31020) Simplify ((q/(q**6*q*q))**22*(q/q**(-3/14))/(q/q**(6/5)*q*q))**1 assuming q is positive. q**(-10821/70) Simplify (c*c**6*(c/(c**(-2)*c))/c*((c*c**(-4))/c)**(-5))**(-12) assuming c is positive. c**(-336) Simplify (p**(13/5)*p*p/(p*p**(-4/21))*p*(p**(-26))**(1/68))**(13/7) assuming p is positive. p**(204581/24990) Simplify (h**(-9)/(h**(1/4)/h))/((h*h**(-5/2))/h**1)*(h*h*h**(-9)*h)/h**(-1/15)*(h*h*h**(2/7)*h*h)**17 assuming h is positive. h**(25693/420) Simplify (((z*z*z*z/z**(-16)*z*z)/z**(-1/13))/(z*z*z/(z/(z/z**(5/3)))*z)**(26/7))**(-15) assuming z is positive. z**(-2615/13) Simplify ((((w*w**(1/18))/(w*w**(-13/2)))**(-1/31))**(2/13))**(-4/5) assuming w is positive. w**(472/18135) Simplify ((d**(-2/3)*((d/(((d/(d/d**2))/d*d)/d))/d)/d)/(d*d**0/d*d*d)**(-1/4))**(-35) assuming d is positive. d**(455/6) Simplify (((j*j/j**6)/(j**(2/21)*j))/((((j**(-14)*j*j*j)/j)/j*j)/j**(1/3)))**(-29) assuming j is positive. j**(-4408/21) Simplify ((k/(k**(-5/6)*k))**46/(k*k**(1/6))**(-20))**43 assuming k is positive. k**(7955/3) Simplify ((((d*d**(-43))**44)**7)**32)**42 assuming d is positive. d**(-17385984) Simplify (o**40*o)**(-11/5)/(o/o**30*(o**(1/2)*o*o)/o) assuming o is positive. o**(-627/10) Simplify (((g**(-2/27)*g)/g*g**(8/7)*g*(g*g*g/(g/(g/(g**(-2)/g)*g)*g))**4)**(-20))**(-39) assuming g is positive. g**(1281020/63) Simplify ((a**(3/5))**(-37))**(-1/11)*(a**(2/5))**(-15/2)*(a**(-2))**(-35) assuming a is positive. a**(3796/55) Simplify ((s**(-1/7)/((s/(s**(-2/11)*s)*s)/s))/(s**(-1))**(1/25))/(s**(1/4)*s**(1/3))**(2/41) assuming s is positive. s**(-148283/473550) Simplify (z/(((z/(z**(1/2)*z*z))/z)/z))/(z*z*z**(5/3)*z*z*z*z)*(z**(1/15))**8 assuming z is positive. z**(-79/30) Simplify ((y*y*y*(y/y**(-6))/y)**(2/5)/(y**(2/61)/y*(y*y/y**(-18)*y)/y))**37 assuming y is positive. y**(-174159/305) Simplify ((b**(-2/17)*b*b**(-2/15)*b)/((((b*b/(b**0*b*b))/b*b)/b*b)/(b/(((b*b**(-2/33))/b)/b)*b)))**(-10/11) assuming b is positive. b**(-8994/2057) Simplify ((o**1/o*o)**48)**(2/15)/(o**2*o*o/(o*o*(o*o**(-4))/o))**(-6/17) assuming o is positive. o**(724/85) Simplify (((s/(s/((s*s*s*(s/s**(-3))/s)/s)))/s*s*s)**(-8))**(-8)/((s**(-1/2))**(-30/13)/(s**2*s)**45) assuming s is positive. s**(6732/13) Simplify (((a**(-7)/a)/a*(a/a**6*a)/a)/(a**(2/9)*a)**10)/(a/a**(-5)*a**(2/11)/a*(a*a**(1/2))**(8/9)) assuming a is positive. a**(-3241/99) Simplify ((i**(-1/3))**(-23)/(i**(2/7)/(i*i*i**(1/2)*i*i)))/(i**(2/3)/i*i*i*i**(1/9))**(13/6) assuming i is positive. i**(3035/378) Simplify (((m*m**(3/4))/(m/m**28))/(m**(6/11)/m*m*m**(-19)*m))**49 assuming m is positive. m**(99617/44) Simplify (((g*(g**(-1/3)*g)/g*g)/g)/g**(-2/17))**(-14/3)*((g**(-2/7)/g)**(-2/3))**36 assuming g is positive. g**(29128/1071) Simplify ((s*s**3/s)**(-10/11))**24/(s*(s**(-2)/s)/s*s/s**(-1/3))**(-35) assuming s is positive. s**(-4085/33) Simplify ((t**(2/41))**(-43)/(t**(1/6))**1)**(-7) assuming t is positive. t**(3899/246) Simplify ((((k/(k*k**(2/3)*k))**(2/49))**(-7))**13)**(-3/11) assuming k is positive. k**(-130/77) Simplify (w/((w*w/w**(7/11))/w*w))**(1/79)/((w**(-3/8)*w)/w)**(-26) assuming w is positive. w**(-33907/3476) Simplify (d**(-1/2))**40*d**(1/4)/(d/d**(-3/5))*d**1/(d*d**2)*d/(d/d**(1/5)*d)*d/d**(1/4) assuming d is positive. d**(-117/5) Simplify ((x**3*x)**(1/2))**34/((x**(1/4))**(1/10))**(-3/2) assuming x is positive. x**(5443/80) Simplify ((d/(d**(-2/7)*d))**(-1/17))**(-34)*(d*d**(2/7)*d*d)**49*(d*d/(d*(d*(d**(-1/4)*d)/d)/d*d*d*d)*d*d*d)/(d*d**(-2)) assuming d is positive. d**(4587/28) Simplify (h**(-5)/((h*h*h/(h/((h/(h**(-4/5)*h))/h))*h)/h))/(h*h**(-13/3)*h**4) assuming h is positive. h**(-112/15) Simplify ((o/(o/o**(-2/9)))**(-7/3))**24*(o**(-4/7)/o)/o*o*o/(o*o/o**(-2/3))*o**(2/7)/(o/((o*o/o**6)/o)) assuming o is positive. o**(220/63) Simplify ((z**(-3)/z)/z**(-30))/(z/((z**(-2/115)/z)/z))**(-4/31) assuming z is positive. z**(94078/3565) Simplify ((a**1/a)/(a**1/a*a))**(2/3)/((a/a**(-1/2))/((a**(-2/7)*a)/a))**(3/17) assuming a is positive. a**(-701/714) Simplify (j**8*j**6*j*j)/(j**(-3/2)*j*j**(-3/5))*(j**(1/11)*j*j**2)**(11/2) assuming j is positive. j**(341/10) Simplify ((m*m/((m**(-1/82)*m*m)/m)*m**(-22)*m)/(m/(m**(-2)/m)*m*m*m)**46)**(-1/55) assuming m is positive. m**(28043/4510) Simplify ((((j*j**1*j)/j)/j*j)**(-14/5)*j/(j**(-7)/j)*j**(2/21))/((j/j**(2/5)*j)**(-5/3)/(j*j**(-6)*j**(2/21))) assuming j is positive. j**(44/35) Simplify ((v**4*v)**(-24)*v**(4/11)/v**(-9/5))**(7/3) assuming v is positive. v**(-45367/165) Simplify ((((r/r**6)/r)/r**(-9/7))/(r**5)**(-2/63))**(-1/6) assuming r is positive. r**(41/54) Simplify (((b*b*b**(-2/15))/b*b*b)**(-9))**(-25)*((b**3*b)/(b**(-9)/b))/(b**(3/8)/(b*b**5/b*b)) assuming b is positive. b**(5317/8) Simplify ((h*h/((h/(h*h**(-7)))/h)*(h*h**(-13))/h)/(h*(h**(-5)*h)/h*h*h**0))**6 assuming h is positive. h**(-84) Simplify (o*o**(-1)*o**(9/7)/o*o/(o*(o*o/o**(-1/46))/o)*o**(-11))**(5/13) assuming o is positive. o**(-18895/4186) Simplify (((c/(c/c**(-2/31)))/c)**(-17)/(c*(((c/(c**(2/29)/c))/c)/c)/c*c*c)**(-10/7))**(2/3) assuming c is positive. c**(37498/2697) Simplify (((a**14*a*a/a**(11/4))**(-17))**(-8))**(-2/47) assuming a is positive. a**(-3604/47) Simplify ((r/(r**(12/13)/r)*r*r*r*r**(-19/4))/(r**(-1)*r**43))**(-1/12) assuming r is positive. r**(2219/624) Simplify (d**5/d**(-1))**(4/5)/((d*d/(d*d**(2/5)))/d*d**(1/7)/d)**(-1/19) assuming d is positive. d**(3148/665) Simplify ((m*m**0/m*m)**28)**(-41)/((m*m**0)**15/(m**1)**(-14)) assuming m is positive. m**(-1177) Simplify (r**2/r*r**(1/7)*(r/(r**(1/3)*r))/r**(6/5))**18 assuming r is positive. r**(-246/35) Simplify (l**(-2/15)*l**(-1/4)*l)**(25/3)/(((l/(l*l**(-2/27)*l*l*l)*l)/l**(-6))/((l/l**(-2/7))/((l*(l/(l/(l/l**1)*l)*l)/l)/l))) assuming l is positive. l**(2533/756) Simplify (((((t/(t/(t**(-1)/t)))/t*t)**(10/7))**(-15))**(-13/6))**(-7/5) assuming t is positive. t**130 Simplify (((o**(9/8))**23)**(-41))**42 assuming o is positive. o**(-178227/4) Simplify (m**0/(m/m**(-1/12)*m))**(2/27)*((m/m**(-1/8))/(m/(m*m/(m/(m*(m**3/m)/m)))))/(m*m**(-2/5)/m*m*m*m)**(27/4) assuming m is positive. m**(-47237/3240) Simplify (f**(-14/3)*f*f/(f*f**20/f)*f)/((f/((f**21*f)/f))/f)**(-2/65) assuming f is positive. f**(-4351/195) Simplify ((y**(-13))**(-36)*(y/(y**(2/39)/y))/y*y**(5/8)*y)**(9/8) assuming y is positive. y**(440457/832) Simplify ((l/(l**(-10)/l))/l*l/(l*(((((l/(l*l**(-13/4)))/l)/l)/l)/l)/l))/((l**15/l)/l**(-2/125)) assuming l is positive. l**(-633/500) Simplify (r*r**(2/5)*r)/r**(-7/5)*r**0*r*(r/((r*r**(-3))/r)*r)/r*r*r*r*r*r*((r**(-1/3))**37)**(7/2) assuming r is positive. r**(-881/30) Simplify ((t**(-1/5)/t*t)/t**(-4))/(t**0)**27*((t**
{ "pile_set_name": "DM Mathematics" }
Give g(-23). -961 Let k(c) = -c**2 - 647*c - 90082. Give k(-444). 50 Let p(l) = -7*l**2 + 1827*l - 64364. Give p(219). 22 Let z(d) = 2748*d**2 + 2484184*d - 7228. Give z(-904). 4 Let l(t) = 130*t - 11037. What is l(80)? -637 Let n(g) = 102*g**3 - 67218*g**2 + 24*g - 15821. What is n(659)? -5 Let y(b) = 36*b**3 + 22*b**2 + 35*b + 83. Determine y(-3). -796 Let q(m) = 6445*m**2 - 805628*m + 372. Give q(125). -3 Let y(a) = 7*a**2 + 7884*a - 5645. Give y(-1127). -10 Let z(s) = -s**3 + 85*s**2 - 26*s - 62. Calculate z(0). -62 Let z(s) = 159*s**2 + 5752*s + 29448. Calculate z(-30). -12 Let i(d) = -31*d + 4993. Give i(163). -60 Let j(m) = -4*m**2 - 2066*m - 100653. Determine j(-462). 63 Let p(x) = x**2 + 165*x + 2791. Calculate p(-146). 17 Let q(o) = -3837*o + 4362. Determine q(1). 525 Let q(w) = -w**3 + 3*w**2 - 43. What is q(8)? -363 Let d(q) = 5*q**2 - 146*q + 720. Calculate d(6). 24 Let h(o) = -20*o**3 + 1167*o**2 - 453*o + 2733. What is h(58)? 7 Let x(q) = 2*q**3 - 523*q**2 - 24123*q - 55. Give x(-40). 65 Let m(h) = -12*h**3 + 2584*h**2 - 5146*h + 4. What is m(2)? -48 Let v(y) = -y**3 - 93*y**2 + 15*y + 372. Determine v(-93). -1023 Let b(h) = 156146*h + 624588. Determine b(-4). 4 Let q(w) = -8*w**2 - 1598*w - 78276. Determine q(-86). -16 Let s(r) = -r**2 + 22158*r - 973042. Give s(44). -26 Let v(g) = -3*g**2 - 68*g + 7131. Determine v(-61). 116 Let p(f) = -10462*f - 408011. Give p(-39). 7 Let o(r) = -300*r**2 - 9306*r + 112. Give o(-31). 298 Let x(q) = 1353280*q + 5413116. What is x(-4)? -4 Let u(a) = 236*a**2 + 700*a + 1375. Give u(-2). 919 Let b(x) = 9*x**2 + 179*x - 33648. Determine b(52). -4 Let m(s) = -8011*s + 1538095. Give m(192). -17 Let z(o) = 14167*o + 396670. What is z(-28)? -6 Let n(o) = -1323*o + 65246. What is n(47)? 3065 Let m(x) = 1412*x + 2393333. Calculate m(-1695). -7 Let z(q) = -6*q**2 + 49*q + 1335. Give z(27). -1716 Let t(s) = 156*s - 11658. Give t(58). -2610 Let v(r) = -2701*r**2 + 548301*r + 376. Determine v(203). -30 Let w(j) = 6*j**3 + 118*j**2 - 980*j - 18794. Determine w(-20). 6 Let f(q) = q**2 - 253799*q + 2537881. Determine f(10). -9 Let s(x) = 3*x**3 + 2897*x**2 - 11563*x - 48. Calculate s(4). 244 Let w(g) = 135*g**2 + 2426*g + 45. Calculate w(-18). 117 Let a(f) = -5*f**2 - 1045*f + 4301. Determine a(4). 41 Let c(w) = -13157*w + 1920868. Calculate c(146). -54 Let u(o) = -35222*o + 14722803. Give u(418). 7 Let h(l) = -l**2 - 2182*l - 23815. Give h(-11). 66 Let u(m) = m**2 + 69*m - 1251. Determine u(-71). -1109 Let i(j) = -10*j**3 + 1038*j**2 + 200*j + 889. Determine i(104). 57 Let u(x) = -612*x + 1790. What is u(5)? -1270 Let o(d) = d**2 + 4459*d - 76083. What is o(17)? 9 Let v(i) = 301*i**2 + 5384*i - 3. Give v(-18). 609 Let l(v) = -70*v - 2014. Determine l(-27). -124 Let h(g) = -313*g**2 - 24725*g + 221. What is h(-79)? 63 Let y(r) = -6*r**3 + 123*r**2 - 274*r + 86. Determine y(18). 14 Let k(f) = -f**2 + 4085*f - 24463. What is k(6)? 11 Let x(r) = 727*r - 20261. Determine x(28). 95 Let k(g) = -13786*g - 317126. Calculate k(-23). -48 Let c(k) = 22*k**2 - 868*k + 6890. What is c(11)? 4 Let j(o) = -46*o**2 - 2838*o + 834. What is j(-62)? -34 Let g(v) = -49*v**2 - 1589*v + 2630. Determine g(-34). 12 Let x(g) = 5*g**2 - 668*g + 11257. What is x(20)? -103 Let x(l) = 36*l**3 - 171*l**2 + 38*l + 5. What is x(4)? -275 Let t(y) = y**3 - 40*y**2 + 272*y + 271. Calculate t(33). 1624 Let l(k) = 4*k**3 + 3102*k**2 - 4712*k - 38844. Give l(-777). 6 Let u(x) = -100*x**3 - 676*x**2 - 871*x - 15. Determine u(-5). -60 Let w(l) = l**3 - 34*l**2 - 70*l - 7. Give w(37). 1510 Let s(n) = 11*n**3 - 1486*n**2 - 1067*n - 39844. Calculate s(136). 4 Let l(j) = 3*j**2 + 420*j - 825. Give l(0). -825 Let r(y) = 2*y**3 + 106*y**2 - 26*y - 5183. Calculate r(-52). 1577 Let v(k) = -73*k - 11469. Calculate v(-154). -227 Let p(x) = 189*x + 14898. Give p(-83). -789 Let z(k) = k**3 + 14*k**2 - 878*k + 1241. Give z(-38). -51 Let u(d) = -138453*d + 3322874. Determine u(24). 2 Let c(z) = 5145*z - 30857. What is c(6)? 13 Let m(q) = -4*q**3 + 504*q**2 + 1709*q - 20769. Calculate m(129). 0 Let f(t) = 22*t**2 - 15326*t - 5570. What is f(697)? 6 Let l(n) = -3*n**3 + 24*n**2 - 2*n - 7. Calculate l(8). -23 Let b(v) = v**2 + 22912*v + 640619. What is b(-28)? -133 Let p(f) = 57265*f + 229044. Determine p(-4). -16 Let p(w) = 4434*w - 17714. What is p(4)? 22 Let t(w) = -126*w**3 - 693*w**2 + 4*w. Calculate t(-5). -1595 Let l(w) = 4*w**3 - 30*w**2 - 188*w + 1423. Give l(7). 9 Let g(p) = 6351*p**2 - 190533*p + 94. What is g(30)? 4 Let k(j) = -54*j + 7069. What is k(125)? 319 Let q(y) = 209*y + 9537. Calculate q(-46). -77 Let i(m) = -m**2 + 4265*m + 21364. Calculate i(-5). 14 Let x(u) = u**3 + 2*u**2 + 307*u + 2401. Determine x(-8). -439 Let h(s) = -7546*s + 60373. Determine h(8). 5 Let k(b) = 2*b**2 - 1980*b + 482896. Calculate k(555). 46 Let j(a) = 345302*a - 4834230. Determine j(14). -2 Let v(l) = -794*l + 20882. Calculate v(26). 238 Let a(y) = 6711*y + 1060352. Determine a(-158). 14 Let b(p) = -4*p**2 - 869*p - 11751. Give b(-203). -180 Let h(b) = -4*b**3 + 4*b**2 - 697*b - 19. Calculate h(0). -19 Let f(m) = -236*m**3 + 3*m**2 + 53*m - 56. Calculate f(1). -236 Let r(x) = -x**3 + 333*x**2 - 25485*x + 2255. What is r(119)? -6 Let k(s) = -47*s**2 + 87*s + 599. Give k(-7). -2313 Let g(x) = x**3 + 200*x**2 - 3225*x + 25. Determine g(15). 25 Let d(x) = 4*x**3 + 3908*x**2 - 3894*x + 17607. Determine d(-978). 3 Let l(b) = -49*b - 6572. Give l(-138). 190 Let d(i) = i**2 - 36*i - 3383. What is d(82)? 389 Let k(i) = 1084*i**2 + 6490*i - 25. What is k(-6)? 59 Let z(r) = -222*r**2 + 3410*r + 10242. Calculate z(-3). -1986 Let g(d) = -4*d**3 - 18*d**2 + 76202*d + 380978. What is g(-5)? 18 Let m(x) = 512856*x - 4102846. Calculate m(8). 2 Let x(q) = q**3 + 16*q**2 - 51*q - 84. Determine x(-18). 186 Let r(n) = -78*n**2 + 779*n - 13. Determine r(6). 1853 Let u(m) = -118944*m + 1427329. What is u(12)? 1 Let a(q) = -q**3 - 15*q**2 + 7827*q - 4141. Give a(81). -10 Let d(r) = -r**3 + 63*r**2 - 287*r - 322. Calculate d(58). -148 Let u(c) = -c**3 - 329*c**2 - 16552*c + 282. Give u(-267). -252 Let h(t) = 8451*t + 14797676. Determine h(-1751). -25 Let d(q) = -2*q**3 + 5*q**2 + 44*q + 63. Determine d(-3). 30 Let l(k) = -19*k**3 - 3*k**2 + 141*k - 410. Determine l(3). -527 Let y(d) = -3*d**3 + 110*d**2 - 73*d + 57. Calculate y(36). 21 Let v(l) = -6*l**3 - 25*l**2 - 247*l - 1022. Give v(-4). -50 Let x(u) = u**2 + 5618*u - 50622. Calculate x(9). 21 Let f(o) = -769*o**2 + 608*o - 3. Determine f(1). -164 Let b(l) = -52*l**3 - 460*l**2 + 1264*l + 10721. What is b(-9)? -7 Let x(y) = 12101*y - 302522. Calculate x(25). 3 Let t(p) = -p**3 - 26*p**2 + 32*p + 76. Calculate t(-27). -59 Let u(m) = -7686*m + 38495. Calculate u(5). 65 Let h(w) = w**3 + 71*w**2 - 149*w + 542. Give h(-73). 761 Let r(h) = h**2 - 165*h + 573. Give r(162). 87 Let a(k) = -k**3 - 40*k**2 - 187*k + 676. Determine a(-33). -776 Let l(i) = -2327*i - 72213. What is l(-31)? -76 Let a(b) = -2*b**2 - 7321*b + 117651. What is a(16)? 3 Let p(c) = -c**3 - 20*c**2 + 108*c + 2409. What is p(-12)? -39 Let o(u) = 30783*u - 800350. Calculate o(26). 8 Let y(o) = 2*o**3 + 1090*o**2 + 1032*o - 30475. Determine y(-544). -11 Let i(n) = 1200*n - 20288. Determine i(18). 1312 Let z(j) = -2847*j**2 - 113896*j - 626. Determine z(-40). 14 Let x(c) = -343*c - 6700. Calculate x(-19). -183 Let m(u) = 2*u**3 + 38*u**2 - 693*u - 12616. Calculate m(-16). 8 Let b(i) = i**3 - 5*i**2 - 949*i - 1123. Determine b(34). 135 Let c(n) = -2*n**2 - 293*n + 55318. What is c(-255)? -17 Let x(q) = 318*q**2 + 20678*q + 507. Calculate x(-65). -13 Let b(f) = -f**3 - 26*f**2 - 152*f - 5816. Calculate b(-28). 8 Let a(c) = -33*c**3 + 63*c**2 - 8*c + 35. What is a(3)? -313 Let i(c) = 136*c**2 - 1714*c + 706. Calculate i(12). -278 Let o(v) = v**3 - 29*v**2 + 187*v - 988. Give o(19). -1045 Let f(c) = 62842*c - 942428. Give f(15). 202 Let j(x) = -38*x**2 - 769*x - 982. Determine j(-19). -89 Let n(x) = -6989*x - 426051. Give n(-61). 278 Let h(x) = x**3 - 43*x**2 + 41*x + 818. Give h(-4). -98 Let v(i) = -3873*i + 863238. Calculate v(223). -441 Let r(g) = 2*g**2 - 70859*g - 283457. What is r(-4)? 11 Let l(n) = 42*n**3 + 4*n**2 - 57*n - 61. Calculate l(-1). -42 Let s(m) = 10248*m + 27259
{ "pile_set_name": "DM Mathematics" }
-3*q**2*(q - 1)/7 Let k(j) = 0*j**2 + 5*j**2 - 6*j**3 + 3*j**3 + 0*j**3. Let c(b) = -16*b**3 + 26*b**2 + b. Let a(z) = -4*c(z) + 22*k(z). Factor a(m). -2*m*(m - 2)*(m - 1) Let b(r) = -2 - r**2 + 3*r + 3 - 9*r**3 - r**4 - 8 + 6*r. Let n(c) = 2*c**4 + 10*c**3 + 2*c**2 - 10*c + 8. Let k(i) = 4*b(i) + 3*n(i). Factor k(g). 2*(g - 2)*(g - 1)**2*(g + 1) Let b(z) = -30*z**4 + 23*z**3 + 607*z**2 + 235*z + 5. Let n(a) = 75*a**4 - 57*a**3 - 1518*a**2 - 588*a - 12. Let y(h) = 12*b(h) + 5*n(h). Factor y(s). 3*s*(s - 5)*(s + 4)*(5*s + 2) Suppose 2*o - 4*g = 4 + 8, 0 = -2*o - 3*g + 47. Let n = o - 14. Factor -6 + 2*f**n + 0 + 0 + 4*f. 2*(f - 1)*(f + 3) Let n(d) be the first derivative of -d**3 - 3*d**2 + 9*d - 276. Factor n(j). -3*(j - 1)*(j + 3) Let w(n) be the first derivative of -n**4/9 - 44*n**3/27 - 26*n**2/3 - 20*n - 665. Suppose w(j) = 0. Calculate j. -5, -3 Suppose -1 - 1 = -h. Suppose h*x + x = 6. Factor x*a + 4*a**2 - 7*a**2 - 2*a - 3*a. -3*a*(a + 1) Let l(z) be the second derivative of 2/3*z**3 + 0 - 5/2*z**4 - 10*z + 0*z**2. Factor l(q). -2*q*(15*q - 2) Find f such that -51/2*f**2 - 3/2*f**3 - 93/2*f - 45/2 = 0. -15, -1 Let j(v) be the first derivative of -3/4*v - 1/2*v**3 - 3/8*v**4 + 9/20*v**5 - 1/8*v**6 + 13 + 9/8*v**2. Suppose j(f) = 0. What is f? -1, 1 Let t = -11 + 16. Suppose -10*p - 5*p**4 - 2 - p**4 - 20*p**3 + 0*p**5 - 20*p**2 - 2*p**t - 4*p**4 = 0. What is p? -1 Suppose 5 = -5*g + 3*c, -c + 2 + 1 = -2*g. Let v(x) = -12*x. Let s be v(g). Factor 16 + 0*y**4 - s*y**3 + 88*y**2 + 6*y**4 - 64*y - 2*y**4 + 5*y**4. (y - 2)**2*(3*y - 2)**2 Let z = 139 + -137. Suppose -4*h**3 - 8*h**2 - 4*h**z + 3*h**2 + h**2 = 0. What is h? -2, 0 Let p(g) be the third derivative of -1/630*g**7 + 0*g + 0 - 12*g**2 - 1/180*g**6 - 2/9*g**3 + 1/60*g**5 + 1/18*g**4. Factor p(i). -(i - 1)**2*(i + 2)**2/3 Let h be (-29)/24 - (-8)/24*4. Let k(t) be the first derivative of h*t**4 - 1/10*t**5 + 0*t**3 + 0*t**2 + 0*t + 4. Factor k(f). -f**3*(f - 1)/2 Let l be 2 + (1 - 5) - -6. Let 15*d**4 - 51*d - 3*d**5 + d**4 + 84*d**2 + 8*d**l - 66*d**3 + 12 = 0. Calculate d. 1, 4 What is c in 4/5 - 2/5*c**3 + 6/5*c + 0*c**2 = 0? -1, 2 Let y(q) = 4 + 3 + 2 - 10. Let o(t) = -5*t**4 + 25*t**3 - 30*t**2 + 1. Let n(c) = o(c) + y(c). Find m such that n(m) = 0. 0, 2, 3 Let l(c) be the first derivative of 0*c - 20 - 2/33*c**3 - 6/11*c**2. Factor l(d). -2*d*(d + 6)/11 Let x(j) be the first derivative of 2*j**4/9 + 50*j**3/27 + 38*j**2/9 + 16*j/9 + 132. Factor x(o). 2*(o + 2)*(o + 4)*(4*o + 1)/9 Suppose 0 = 278*i - 295*i. Let h(u) be the third derivative of 1/90*u**5 + i*u**3 + 0 - 1/36*u**4 + 0*u + 4*u**2. Find b such that h(b) = 0. 0, 1 Suppose 4*w = -2*w + 18. Factor 18*x - w*x**2 + 14 + 6*x**2 + 0*x + 13. 3*(x + 3)**2 Let o = 22 + -16. Find a such that -o*a + 2*a**3 + 2*a**2 + 0*a + 4*a - 2 = 0. -1, 1 Let z(r) = 13*r**3 - 2*r**2 - r + 1. Let g be z(1). Factor 12*k + 12*k**2 - 5*k**3 + g*k**3 - 2*k**3 + 4. 4*(k + 1)**3 Let y(b) = 27 - 13 + 10 - 12*b - 8*b. Let j(k) = k**2 - 60*k + 73. Let h(c) = 2*j(c) - 7*y(c). Factor h(l). 2*(l - 1)*(l + 11) Let v = -3 + 5. Find y such that 33*y**3 + 4*y**v - y - 13*y**3 + 8 - 12*y**4 - 19*y = 0. -1, 2/3, 1 Let d = -7 - -12. Let x(v) = 9*v**2 - 8*v + 7. Let h(n) = 11*n**2 - 9*n + 8. Let z(o) = d*x(o) - 4*h(o). Factor z(g). (g - 3)*(g - 1) Let l(d) be the third derivative of 1/48*d**4 + 1/24*d**3 + 0 + 4*d**2 + 0*d + 1/240*d**5. Factor l(j). (j + 1)**2/4 Let p be 5/(-2)*(-8)/(-10) - -2. Suppose 2*k + 3*w = -p*k + 6, -4*k = 2*w - 12. Factor -2/7 - 2/7*l**k + 2/7*l + 2/7*l**2. -2*(l - 1)**2*(l + 1)/7 Let m be 917*4/154 + (-2)/(-11). Suppose -m*q = -17*q. Factor -2*r**2 - 4/3*r + 0 + q*r**3 + 2/3*r**4. 2*r*(r - 2)*(r + 1)**2/3 Let u(v) be the first derivative of 16/3*v + 3 + 4/9*v**3 - 8/3*v**2. Factor u(f). 4*(f - 2)**2/3 Suppose 134 + 4*d**3 + 36*d**2 - 37 - 102*d + 239 - 154*d = 0. Calculate d. -14, 2, 3 Let t be -13*(0 - 1) - 1. Suppose -g + 0*g = t*g. Solve 0 + g*i - 2/9*i**3 - 2/9*i**2 = 0. -1, 0 Let y(b) be the first derivative of -2/3*b**4 + 1/30*b**6 + 0*b - 16/3*b**3 + 2/15*b**5 - 3 + 2*b**2. Let x(t) be the second derivative of y(t). Factor x(v). 4*(v - 2)*(v + 2)**2 What is r in 9/7*r**2 - 6/7 - 3/7*r**3 - 3/7*r**4 + 3/7*r = 0? -2, -1, 1 Let p(u) be the third derivative of 0 + 0*u - 5/84*u**4 - 1/30*u**5 + 2/21*u**3 + 32*u**2. Factor p(l). -2*(l + 1)*(7*l - 2)/7 Let o be (-2 + 8/5)*180/(-360). Factor o*h**2 + 2*h + 8/5 - 1/5*h**3. -(h - 4)*(h + 1)*(h + 2)/5 Suppose -5*u + 5 = 0, 3*a - 2*u + u - 38 = 0. Factor -10*k**3 + 3*k**2 + 2*k**2 - 5*k - 5 + 2*k + a*k. -5*(k - 1)*(k + 1)*(2*k - 1) Suppose -120 = -38*u + 8*u. Let f(s) be the third derivative of -1/18*s**3 + 0 + 1/180*s**5 + 1/72*s**u + 0*s + s**2 - 1/360*s**6. Factor f(j). -(j - 1)**2*(j + 1)/3 Let s = 186901/75 - 2492. Let u(w) be the second derivative of 0*w**2 + 1/100*w**5 + 0*w**3 - w + 0 + 1/210*w**7 + 0*w**4 + s*w**6. Suppose u(n) = 0. What is n? -1, 0 Let g(y) = 3*y + 8. Let w be g(-2). Factor 3*j**2 - 50*j + j**w + 8 + 37*j + 25*j. 4*(j + 1)*(j + 2) Let d be 84/(-24)*12/(-7). Let z = 6 - d. Suppose 2/3*u**4 - 2/3*u**2 + z + 2/3*u**5 - 2/3*u**3 + 0*u = 0. Calculate u. -1, 0, 1 Suppose -96*p - 4 = -97*p. Solve 28*o**3 - 43*o**3 - o**4 + 6*o**5 + 4*o**4 + 2*o**2 + p*o**2 = 0 for o. -2, 0, 1/2, 1 Factor -49/3*r + 0 + 1/3*r**2. r*(r - 49)/3 Let j(q) = -37*q - 1070. Let z be j(-29). What is x in 1 - 1/2*x - x**2 + 1/2*x**z = 0? -1, 1, 2 Let f(d) be the second derivative of -d**6/30 + 13*d**5/45 - 8*d**4/9 + 8*d**3/9 + 9*d**2 + 15*d. Let m(x) be the first derivative of f(x). Factor m(p). -4*(p - 2)**2*(3*p - 1)/3 Suppose 14*v - 8 = 10*v. Find i, given that 209 - i**v + i**3 - 209 = 0. 0, 1 Let c be (-1)/(5/(-3))*560/(-1140). Let q = 2/19 - c. Suppose 2/5*d**2 - 2/5*d**3 - 2/5 + q*d = 0. Calculate d. -1, 1 Let g = -49 - -52. Let t = 378 + -368. Factor 6 + t*x + 2/3*x**g + 14/3*x**2. 2*(x + 1)*(x + 3)**2/3 Let y(w) be the first derivative of 2*w**3/33 + 19*w**2/11 + 36*w/11 + 136. Solve y(t) = 0. -18, -1 Let k = 3743 + -3740. Factor 4/9*a**k + 4/9*a**2 - 4/9*a - 4/9*a**4 + 0. -4*a*(a - 1)**2*(a + 1)/9 Let 6*z**2 - 9*z**3 + 36*z + 398 + 2*z**4 - 374 - 5*z**4 = 0. Calculate z. -2, -1, 2 Let b(s) = 3*s**2 - 603*s + 11557. Let u(r) = r**2 - 301*r + 5779. Let t(h) = -3*b(h) + 5*u(h). Solve t(v) = 0. 38 Let m(k) = k**2 - 64 - 70 + 2*k + 129. Let g be m(-4). Find c, given that -2/3*c**5 + 4/3*c**2 + 2/3*c**g - 4/3*c**4 + 0*c + 0 = 0. -2, -1, 0, 1 Let p(l) be the third derivative of -l**8/8400 - l**7/2100 + l**5/300 + l**4/120 + 3*l**3 + 5*l**2. Let n(t) be the first derivative of p(t). Factor n(z). -(z - 1)*(z + 1)**3/5 Factor -8965*t - 5 + 8935*t + 5*t**2 + 4 + 30*t**3 - 5*t**4 + 1. -5*t*(t - 6)*(t - 1)*(t + 1) Factor -1/3 + 13/9*n - 10/9*n**2. -(n - 1)*(10*n - 3)/9 Find u, given that 16/15*u**4 - 4/15*u**3 + 0 - 32/3*u**2 - 2/15*u**5 + 10*u = 0. -3, 0, 1, 5 Suppose -75*v = -78*v + 12. Let y(i) be the third derivative of 0 + 1/5*i**3 - 1/100*i**5 + 0*i - 1/40*i**v + 4*i**2. Solve y(b) = 0 for b. -2, 1 Let g(b) = b + 22. Let o be g(-22). Let l(r) be the third derivative of 0*r + 2/105*r**5 + o*r**3 + 3*r**2 - 1/84*r**4 + 0. Solve l(y) = 0 for y. 0, 1/4 Factor -1/8*l**3 - 5*l**2 + 0 + 41/8*l. -l*(l - 1)*(l + 41)/8 Suppose -5*h = -15*h + 250. Factor -3*f**3 - 50*f + 29*f**2 + 0 - 15*f - h. -(f - 5)**2*(3*f + 1) Suppose 253*a + 17*a + 22*a = 0. Factor -2/11*t**3 + 0 + a*t + 2/11*t**2. -2*t**2*(t - 1)/11 Let v(r) = -119*r**3 + r**2 - 2*r - 1. Let a be v(-1). Factor -5*q - 4*q**2 - a + 131 - q**2. -5*(q - 1)*(q + 2) Let k(q) be the first derivative of 2 - 1/20*q**5 - 1/12*q**4 + 0*q**3 + 0*q**2 - 3*q. Let i(o) be the first derivative of k(o). Find j, given that i(j) = 0. -1, 0 Let o(v) = -3*v**3 + 8*v**2 + 8*v. Let x be o(-1). Let i(r) be the second derivative of 7/10*r**5 + 20/3*r**3 + 0 - x*r - 4*r**2 - 23/6*r**4. Factor i(g). 2*(g - 2)*(g - 1)*(7*g - 2) Let m(x) be the second derivative of x**5/30 - x**3/3 - x**2/2 + 13*x. Let p(u) be the first derivative of m(u). Factor p(h). 2*(h - 1)*(h + 1) Let g = 4/215 - -684/215. Let o be 234/35 + (-4)/14. Solve o*u**3 + 2/5*u + g*u**2 + 0 = 0 for u. -1/4, 0 Let r(q) be the third derivative of 0*q + 1/42*q**4 - 7*q**2 + 1/180*q**6 + 0 + 3/140*q**5 - 3/2*q**
{ "pile_set_name": "DM Mathematics" }
uppose 4*n + 3*k - 6*k = 12, 6 = 2*n + k. Suppose -4*j + 46 = -2*w, n*w - 1 = j - 0*j. Is j a multiple of 7? True Suppose 4*p - p - 2*x = -170, -5*x + 236 = -4*p. Let v = p - -80. Is 7 a factor of v? False Let y = 38 + 6. Is 12 a factor of y? False Suppose 2*i + 70 = 4*i. Is 10 a factor of i? False Suppose 5*a - 6 = 2*q, -5*q = -3*a - 3*q + 2. Suppose 2*d = -a*d + 28. Is d a multiple of 4? False Let f(s) = 4*s - 28. Is 10 a factor of f(12)? True Let i = 1 + -2. Is (-14)/(-3) + i/(-3) a multiple of 2? False Suppose 4*r - 168 = 3*j - 8*j, -r - 4*j = -53. Let o = r + -16. Is o a multiple of 10? False Is (-27 - 1)/(2*(-2)/6) a multiple of 19? False Let n = 28 - 14. Let a = 1 + n. Suppose -c = -41 + a. Does 9 divide c? False Let h = -27 + 35. Does 6 divide h? False Let v(t) = t**3 + 10*t**2 + 10*t + 9. Let b be v(-9). Suppose 0*n - 5*m = -2*n + 30, b = -4*m. Is n a multiple of 7? False Let d(q) = 15*q**2 + q - 3. Does 12 divide d(-2)? False Let d(k) = 52*k**2 - 8*k - 8. Is d(-2) a multiple of 12? True Let m(c) = c**2 - 7*c - 20. Is 2 a factor of m(10)? True Is (-1)/(-6) - (-904)/48 a multiple of 7? False Suppose h + 0*g = 4*g + 118, -2*g + 298 = 3*h. Let u = h + -64. Is u a multiple of 19? True Suppose -80 = 5*y - 7*y. Is y a multiple of 12? False Suppose 0 = -5*g - 75 + 275. Suppose -2*d - 2*d + g = 0. Does 5 divide d? True Is (-2)/(-4)*4 + 185 a multiple of 10? False Suppose 0*j + 1431 = 3*j. Is 27 a factor of j/6 - (-9)/6? True Let t(z) = z**3 + 5*z**2 - 5*z + 10. Is t(-5) a multiple of 35? True Suppose -2*s + 1156 = 3*x, 7*s = -3*x + 2*s + 1153. Does 12 divide x? False Let s(t) = 4*t**2 + 2*t - 5. Let y(j) = -11*j**2 - 7*j + 15. Let r(x) = -8*s(x) - 3*y(x). Is r(-10) a multiple of 19? False Let v be -1*(1 - 3) - -32. Let j = v - 20. Does 11 divide j? False Suppose -12*g + 7*g + 295 = i, 310 = 5*g + 4*i. Is g a multiple of 29? True Suppose 5*q - 5*t - 20 = -85, 4*t + 12 = 0. Let u be -1 + -1 - q/2. Does 13 divide 76/u + (-1)/(-3)? True Let j(w) = -w + 11. Let h be j(9). Suppose -c = -h*d - 1 + 2, 0 = 4*c - 3*d + 4. Let u(k) = -5*k. Is 4 a factor of u(c)? False Suppose 5*f - 115 = -0*m + m, 0 = 4*m - 20. Let t = -17 + f. Is 7 a factor of t? True Let b(f) = f**2 + 9*f + 6. Let l be b(-6). Let o(p) = p**2 + 8*p + 5. Let m be o(-7). Let x = m - l. Is x a multiple of 6? False Suppose -8*g - 3*g + 1529 = 0. Is 32 a factor of g? False Let h(s) be the third derivative of -s**6/120 + s**5/10 + 11*s**4/24 - s**3 + 2*s**2. Does 11 divide h(7)? True Let r be 4/(-6) - 776/6. Let n = -46 - r. Let i = -50 + n. Is i a multiple of 13? False Suppose n = p + 3*n - 81, -10 = -2*n. Let f = p + -34. Is 11 a factor of f? False Let r be 4/26 - 530/65. Let d(g) = -g + 2. Is d(r) a multiple of 6? False Suppose -24 = g - 3*g. Is 8 a factor of g? False Let p = -18 - -13. Let a = 4 - p. Does 2 divide a? False Let z be 2/3 - (-64)/12. Let u(y) = y**3 - 5*y**2 - 7*y + 8. Let t be u(z). Suppose 0*c + 48 = t*h + 4*c, 3*c + 27 = 3*h. Is 7 a factor of h? True Let w = -7 + 11. Suppose 2*c + 4 = 5*a, -2 = -3*a + w. Does 5 divide 10/((9/3)/c)? True Let o = -16 - -28. Suppose 0 = u - 5*u. Suppose 0 = -5*i - s + o, u = -2*s - 5 - 1. Is 3 a factor of i? True Is 4 a factor of 1 + 3 + -1 + 18? False Let d = -92 + 148. Is 14 a factor of d? True Let y(r) = -r**2 + 13*r + 6. Let m be (-4)/12 + (-44)/3. Let j be ((-12)/m)/((-3)/(-45)). Does 9 divide y(j)? True Let q be (-8)/(-10)*55/(-22). Let t(a) = 5*a**2 + 2*a - 1. Let l be t(q). Let r = -8 + l. Is r a multiple of 7? True Suppose -3*j = -0*a - a - 54, -77 = -4*j + 3*a. Suppose 0 = 19*u - j*u - 30. Is 4 a factor of u? False Let i be (14/(-21))/(2/(-6)). Suppose -3*s + 3*a = -33, i*s + 0*a + 5*a - 8 = 0. Is s a multiple of 5? False Suppose -2*c + 0*c - 32 = -i, -4*i = 5*c - 63. Let r = -10 + 18. Let u = i - r. Does 10 divide u? False Let c = 41 + -25. Suppose 4 = 3*u - 2. Let i = c + u. Does 18 divide i? True Let i(r) = 3*r**2 - 2*r - 4. Is i(-3) a multiple of 13? False Is -1*(-1)/((3 - 0)/123) a multiple of 6? False Does 17 divide (-3 - (-8)/4)*-17? True Suppose 16 = 2*s - q - 3*q, s = -5*q - 13. Suppose 0 = r - 2*r - 3*c + 21, 5*c = s*r - 42. Does 17 divide r? False Let b(w) = -w - 12. Let t be b(-9). Let s be 6/(-21) - 6/(-21). Is 9 a factor of -1 - s - (t - 7)? True Let v(x) = x**3 + x**2 + 5*x - 10. Does 9 divide v(4)? True Let i(t) = -t**3 - 9*t**2 + 7*t - 24. Let r be i(-10). Let b(q) = -9*q + 8. Let v(j) = -j + 1. Let c(n) = -2*b(n) + 14*v(n). Is c(r) a multiple of 15? False Does 26 divide (-960)/(-6) + 1*-4? True Suppose -d - 32 = -3*d. Does 12 divide d? False Let q(h) be the third derivative of h**6/120 + h**5/60 - h**4/12 - 2*h**3/3 + h**2. Does 13 divide q(3)? True Let l(m) = 4*m - 8. Is l(15) a multiple of 21? False Let a be -2 + (13 - 2) - 2. Let q = 22 - a. Is q a multiple of 15? True Let v = -42 - -91. Is 11 a factor of v? False Let k(u) = 5*u**2 + 21*u + 4. Let h(m) = -m**2 - m - 1. Let r(c) = 6*h(c) + k(c). Let s be r(10). Suppose -15 = -3*g + s. Is g a multiple of 7? True Does 10 divide (-6)/(-1)*385/33? True Suppose -5*x = 42 + 23. Let k = 47 + x. Does 17 divide k? True Let f(o) = -o**2 - 1. Let k be f(2). Let c be k/2 + 1/(-2). Is 6 a factor of (-16)/c - (-4)/6? True Suppose -24 - 16 = 5*g. Let w = 13 + g. Let t = w + 3. Does 8 divide t? True Let v(k) = -5*k. Is 10 a factor of v(-2)? True Is (-24)/20*(-300)/9 a multiple of 10? True Let l = 45 - 18. Let d = l - 2. Suppose -50 = -5*b + d. Is b a multiple of 6? False Does 35 divide 2/8 - ((-1085)/28 - -4)? True Let f be (-6)/(-3) + -1 - -3. Suppose -f*c + 10 = -3*c. Suppose 5*j - 35 = c. Does 9 divide j? True Suppose 4*o - 168 = -0*d + 4*d, 5*d + 165 = 4*o. Let y = -24 + o. Does 9 divide y? False Let u = 9 - 15. Let p(n) = 2*n**2 + 10*n + 6. Is p(u) a multiple of 6? True Let q(j) = -j**3 + 2*j**2 + j + 3. Let v be q(3). Let t be (1 - 4)/v + -820. Is 13 a factor of t/(-33) + 2/11? False Let k(a) = -a**3 - 4*a**2 - 3*a + 2. Suppose 3*n = 4*v - 16, 2*v = 2*n + 2*n + 18. Does 8 divide k(n)? False Suppose -4*p + 2*v + 28 = -22, 5*p = 2*v + 64. Suppose -w - w + p = 0. Does 2 divide w? False Suppose 0 = -3*s - 6, 5*s = 3*x - x - 14. Let g(m) = 1 + 4*m**2 + 3*m - x*m + 14*m**2. Is g(-1) a multiple of 18? True Is 13 a factor of 46 + 2/(2 - 0)? False Let u(z) = 4*z + 1. Does 6 divide u(6)? False Let w = 9 + 23. Is 20 a factor of 12/(-4) + w - 3? False Let q(m) = m**3 - 7*m**2 - 9*m + 20. Is q(8) a multiple of 5? False Let m(p) = -p - 5. Is 6 a factor of m(-17)? True Suppose -q = -0 + 1. Let u be -29 + q*(3 - 2). Let f = u + 47. Is f a multiple of 9? False Let p(w) = -5 - 5*w + 5*w + w. Let r be p(7). Suppose r*i - n - 4*n = 6, 0 = 5*i + n - 15. Is 2 a factor of i? False Suppose -5*b + 35 = 5*r, 0 = 2*r - 2*b + 4 + 2. Suppose 0*w + r*w = 150. Is 25 a factor of w? True Let k(p) = p**3 - 12*p**2 + 12*p + 2. Let t(j) = 2*j**2 + 6*j + 3. Let h be t(-4). Is 13 a factor of k(h)? True Let d(o) = 2*o - 10. Suppose -2*u + 25 = -3*g, -54 = -5*u - 2*g + g. Is d(u) a multiple of 11? False Let y = 162 + 20. Is y a multiple of 13? True Suppose 0 = 2*c - 7 + 3. Suppose -2*s + c*u - 34 = 0, -5*s + 3*u - 67 = -s. Let p = s + 23. Does 7 divide p? True Let m = 4 - 4. Suppose m = -3*h - 0*h + 48. Suppose -5*v - c + 43 = -49, 0 = v - c - h. Does 17 divide v? False Suppose 3*u - 4 = 2. Suppose 0 = 3*i + u*i - 80. Is 8 a factor of i? True Suppose -8 = -0*p + p - 3*c, 4*p + 3*c = 43. Is p a multiple of 5? False Let y be ((-3)/(-6))/(2/(-36)). Let o = 14 + y. Suppose p = 3*x + 19, 3*p - 4*x = -o + 42. Is 5 a factor of p? False Let r be 60/(-9)*12/(-5). Suppose -5*c + r = 1. Is 2 a factor of c? False Suppose 3*r + 3*y - 96 = 0, 94 = 3*r + 2*y - 0*y. Is 30 a factor of r? True Let o be 3 + 2 + (-9)/3. Suppose -3*f = -121 - o. Is f a multiple of 20? False Let o(t) = 30*t**3 + t. Suppose -1 = -3*v + 2. Suppose 4*c - 3 - v = 0. Does 8 divide o(c)? False Let v(g) = -g + 12. Let t be (-1)/(-2)*(-5 + 5). Is 10 a factor of v(t)? False Suppose 2*t = -0*t - 202. Let y = t + 149. Is y a multiple of 12? True Let r(h) = -2*h**3 - 12*h**2 - 2*h - 17. Is r(-7) a multiple of 34? False Suppose 0*y + 5*y = l + 11, 2*l = -5*y + 8. Suppose y*u - 3*u = -26. Let o = 38 - u. Is o a multiple of 6? True Let v = -8 - -8. Suppose 3
{ "pile_set_name": "DM Mathematics" }
g Let i(y) = -11*y + 45. Let b(a) = -4*a + 22. Determine 5*b(n) - 2*i(n). 2*n + 20 Let f be 8/3*24/16. Let z(p) = 5*p**3 - 6*p**3 + 0*p**2 + f*p**2 - p**2. Let n(u) = -7*u**2 - u**2 + 4*u**2 + 2*u**3. What is -3*n(v) - 4*z(v)? -2*v**3 Suppose -21*d + 19*d - 300 = 0. Let w = -149 - d. Let l(j) be the first derivative of -j**3/3 + 7*j**2/2 + 2*j + 1. Let a(k) = -k. Give w*l(u) + 6*a(u). -u**2 + u + 2 Let k(a) be the second derivative of -a**5/20 - 2*a**3/3 - a**2/2 - a. Let p(l) be the first derivative of l**4/4 + l**2/2 + 65. Calculate -k(r) - 2*p(r). -r**3 + 2*r + 1 Let g(x) = 1. Suppose 2*t = o - 33, 3*t + o + 7 = -30. Let q be (21/t)/(3/4). Let j(l) = -3*l + 4. Determine q*g(n) + j(n). -3*n + 2 Let h(l) = -2*l**3 + 2*l + 2. Let x be 3/2 - (12/(-2))/12. Let y(q) = q**3 + q + 1. Calculate x*y(k) - h(k). 4*k**3 Suppose -2 = -3*f + 16. Let j(c) = -9 - 2*c - 1 + f. Let z(q) = -2*q - 2 + 0*q - 3. Determine -7*j(x) + 6*z(x). 2*x - 2 Let y(v) = -4*v**3 + 2*v**2 - 4*v - 1. Let k(s) = s**3 - s**2 + s + 1. Let d = 993 - 991. What is d*k(u) + y(u)? -2*u**3 - 2*u + 1 Let j(w) = 7*w**2 - 9*w - 8. Let i(b) = b**2 - 2*b - 1. What is -5*i(q) + j(q)? 2*q**2 + q - 3 Let u(b) = -b - 2. Let k(d) = 2*d - 13. Let x(v) = -2*v + 21. Let j(h) = 3*k(h) + 2*x(h). Give 4*j(w) + 6*u(w). 2*w Let b(a) = -a**2 + 1. Let r(m) = -m**2 - 11*m + 43. Let v be r(-14). Let t(y) = -4*y**2 + 2*y + 3. What is v*t(x) - 2*b(x)? -2*x**2 + 2*x + 1 Let i(m) = 6*m + 6. Suppose -13*n + 9*n = 5*g + 9, -3*g = -n + 19. Let d(s) = 7 + s + 0*s - 2 + 4*s. Give n*d(t) - 3*i(t). 2*t + 2 Let h(z) = -2*z - 4. Let u = -169 - -170. Let q(a) be the first derivative of -7*a + u - 3/2*a**2. Give -10*h(y) + 6*q(y). 2*y - 2 Let q(b) = -6*b - 4. Let m(v) = v + 1. Let s(g) = -g**2 + 15*g - 55. Let u be s(8). Determine u*q(l) + 8*m(l). 2*l + 4 Let q(v) = 25*v**2 - 10*v - 2. Let a(u) = 2*u. Determine -5*a(s) - q(s). -25*s**2 + 2 Let k(o) = 2*o**2 + o - 1. Let x(j) = -9*j**2 - 7*j + 98. Give 5*k(z) + x(z). z**2 - 2*z + 93 Let n(o) = -9*o - 2*o - 2*o + 4. Let u(g) = -19*g + 9. Suppose -8 - 4 = -4*q. Let j(h) = -10*h + 5. Let r(t) = q*u(t) - 5*j(t). What is -6*n(w) + 11*r(w)? w - 2 Let p be (22/(-7))/11*-7. Let r(a) = a + 1 + 5 + 1. Let q(t) = 2. Determine p*r(y) - 7*q(y). 2*y Let c(y) = -2*y**2 + y. Let q(w) = 5*w**2 - 17*w. Determine 2*c(d) + q(d). d**2 - 15*d Let p(j) = 2*j**2 - 2*j. Let g = 93 + -96. Let o = 7 - -8. Let s be (3/o)/(2/10). Let k(a) = a**2. Give g*k(m) + s*p(m). -m**2 - 2*m Let u = 319 + -316. Let l(y) = 35*y**3 + 8*y**2 - 14*y + 2. Let f(b) = -12*b**3 - 3*b**2 + 5*b - 1. What is u*l(o) + 8*f(o)? 9*o**3 - 2*o - 2 Let x(p) = -30*p**2 + 27*p - 27. Let n be 3/15*-11 + (-2)/(-10). Let f(k) = -k**2 + k - 1. Calculate n*x(z) + 54*f(z). 6*z**2 Let x be 7/((-63)/6)*(13 + 17). Let k(u) = -2*u. Let i(z) = 6*z. Give x*k(l) - 6*i(l). 4*l Let b(l) = 9*l**2 - 4*l. Let t(f) = 10*f**2 - 5*f. Let n be 1/(-3 + 21/6). Give n*t(j) - 3*b(j). -7*j**2 + 2*j Let w(s) = -s**2 + s + 4. Let m(q) = 99*q**2 - 3*q - 20. Determine -m(g) - 5*w(g). -94*g**2 - 2*g Let m = -4 - -3. Suppose 5*p = -k + 17, 2 - 3 = p. Let c(r) = 2*r**2 + 2 + 48*r - 26*r - k*r. Let g(q) = -q**2 - q. Calculate m*c(y) - g(y). -y**2 + y - 2 Let u(d) = -15*d**2 - 7*d - 2. Let b(i) = -2*i**2 - i. Calculate -6*b(l) + u(l). -3*l**2 - l - 2 Let q(n) = -n. Let w(r) = -7*r**2 + 7*r. Suppose -60*u - 152 - 148 = 0. Calculate u*q(k) - w(k). 7*k**2 - 2*k Let h(b) = -b. Suppose 0 = a + 2*o - 18, o + 25 = 3*a - 22. Let w(c) = -57*c + 20*c + a*c + 18*c. Calculate -6*h(f) + w(f). 3*f Let a = 55 + -53. Let c(b) = -10*b + 5. Let z(f) = -2*f + 1. What is a*c(s) - 11*z(s)? 2*s - 1 Let b(w) = -w**2 - w - 1. Let t(c) = -11 - 38*c - 5*c**2 + 20*c + 14*c. Give -6*b(x) + t(x). x**2 + 2*x - 5 Let c(f) = -8*f + 5. Let v(z) be the second derivative of -7*z**3/6 + 2*z**2 + 84*z. What is 6*c(p) - 7*v(p)? p + 2 Let r(s) be the third derivative of -7*s**4/24 + s**3/3 - s**2. Let z = -1378 + 1373. Let g(p) = p - 1. Determine z*g(k) - r(k). 2*k + 3 Let c(q) = -5*q**2 + q + 2. Let g(v) = v**2 - v + 1. Give -c(d) - 6*g(d). -d**2 + 5*d - 8 Let q(s) = 31*s - 43. Let i(u) = -6*u + 8. What is -22*i(h) - 4*q(h)? 8*h - 4 Let q(n) = 9*n**3 + 10*n**2 - 30*n - 8. Let k(c) = -7*c**3 - 8*c**2 + 29*c + 7. Give -6*k(z) - 5*q(z). -3*z**3 - 2*z**2 - 24*z - 2 Let k(h) = 3*h**3 + 6*h**2 - 10*h + 9. Let t(p) = 4*p**3 + 9*p**2 - 15*p + 13. Calculate 7*k(l) - 5*t(l). l**3 - 3*l**2 + 5*l - 2 Let g(u) = -4*u + 1. Let o = 22 + -10. Suppose -o*i + 20 = -8*i. Let q(h) = 9*h - 3. Calculate i*g(z) + 2*q(z). -2*z - 1 Let q(t) = 3*t + 1103. Let i(v) = v + 368. Determine 8*i(b) - 3*q(b). -b - 365 Let c(a) = -3*a**2 - 6*a + 7. Let h(l) = 4*l**2 + 6*l - 9. Let d(i) = 5*c(i) + 4*h(i). Let f(r) = r**2 + r. What is d(g) + 4*f(g)? 5*g**2 - 2*g - 1 Let c(y) = y. Let m(w) = -3 + 39*w + 4 - 23*w - 17*w. Give -3*c(f) - m(f). -2*f - 1 Let x = 29 + -21. Let r(l) = 0 + 197*l - 194*l + x. Let z(f) = 7*f + 17. Calculate -13*r(m) + 6*z(m). 3*m - 2 Let x(u) = 2*u**3 + 3*u**2 - 7*u - 2. Let l(n) = n**3 + n**2 - 3*n - 1. Suppose 5*c = 40 + 95. Let m = c + -34. Calculate m*l(s) + 3*x(s). -s**3 + 2*s**2 + 1 Let j be (0 + 2)/(-2)*0. Suppose j*q = -5*q + 5. Let k(v) = 2. Let l(h) = h - 1. What is q*k(r) + 2*l(r)? 2*r Let d(i) = -5. Let o be 6 + -4 + 7 + -2. Let g(z) = -5. Let t(p) = o*d(p) - 6*g(p). Let y(w) = -w + 1. Calculate t(q) + 2*y(q). -2*q - 3 Suppose 0*i - 5 = -i. Suppose -5*l = 20, 3*n + i*l + 12 = -35. Let k(y) = 3*y + 4. Let p(r) = -7*r - 9. Let o = -167 - -163. Determine n*k(g) + o*p(g). g Let u be (-26)/13*12/(-8). Let f(n) = 15*n - 10. Let m(j) = -5*j + 3. Give u*f(d) + 10*m(d). -5*d Let v(l) = -1. Let j(i) = 28*i - 4. Give j(w) - 2*v(w). 28*w - 2 Let n(i) = 312*i**2 - 10*i. Let a(p) = 104*p**2 - 3*p. Give -7*a(o) + 2*n(o). -104*o**2 + o Let v(y) = -64*y + 5. Let s(u) = 63*u - 4. Determine -3*s(f) - 2*v(f). -61*f + 2 Let m(t) be the second derivative of 3*t**3/2 - 2*t**2 - 12*t + 6. Let y(p) = p - 1. Give m(h) - 2*y(h). 7*h - 2 Let n(g) = 5*g**3 - g**2 + 20*g + 1. Let k(z) = 10*z**3 - 2*z**2 + 40*z + 2. Determine 6*k(o) - 11*n(o). 5*o**3 - o**2 + 20*o + 1 Let n(s) = -4*s + 2. Let t(x) = 8*x - 4. Give 7*n(v) + 3*t(v). -4*v + 2 Let f(n) = n**3 - 2*n + 2. Let z(h) = 9 + 9 + 2*h**3 - 5*h - 13. Determine 5*f(r) - 2*z(r). r**3 Let w(u) = -13*u**2 - 5*u - 5. Let r(q) = -7*q**2 - 3*q - 3. Let f(x) = 2*x**2 + 8*x + 3. Let n be f(0). Calculate n*w(c) - 5*r(c). -4*c**2 Let t(x) = 1. Let g(r) = -6*r + 15. Let v be g(3). Let i(d) = d + 4 - 3*d**2 - 8 + 0*d**2 + 1. What is v*t(m) - i(m)? 3*m**2 - m Let x be (2 + 0)*5/2. Let v(p) = -8*p + 5 + 2*p - 8*p + 3*p. Let a(q) = 39*q - 18. What is x*a(o) + 18*v(o)? -3*o Let g(x) = x - 2. Let r = -2 + 6. Let i(j) = 2 - 5 + r. Let u be (-4 - (1 + 0)) + 4. Give u*g(l) - 2*i(l). -l Let z(s) = 2*s**2 + 2. Let u(x) = -9*x + 5. What is u(g) + z(g)? 2*g**2 - 9*g + 7 Let c(a) = -a. Let d(w) = -2*w**2 + 10*w + 2. Let o = -9 + 19. Let q = 44 - 24. Let l = o - q. What is l*c(j) - d(j)? 2*j**2 - 2 Let x(v) = -6*v**2 - 5. Let z(h) be the first derivative of -h + 13 - 1/3*h**3 + 0*h**2. Suppose -6*r + 4*r + 10 = 0. What is r*z(d) - x(d)? d**2 Let r(m) = -4*m - 1. Let l(o) = 9*o + 2. Suppose 3*t - v + 2 = -1, 3*t + v + 9 = 0. Suppose 5*x - 5*k = -45, -3*x + k - 2*k = 11. Calculate t*l(j) + x*r(j). 2*j + 1 Let k(d) = -4*d**2. Let i(f) = -20*f**2. Let x = 295 + -311. Give x*k(g) + 3*i(g). 4*g**2 Let q(r) = r + 2. Let d(a) = 9*a + 13. Let c(h) = 7*h + 10. Let w(s) = -4*c(s) + 3*d(s). Calculate 2*q(v) + 3*w(v). -v + 1 Let i(h) = -h**2 + h. Let x(s) = -24*s**2 + 10*s + 11. Let l(m) = -5*i(m) - 5*x(m). Let c(q) = -9*q**2 + 4*q + 4. Determine -55*c(p) - 4*l(p). -5*p**2 Let h(c) = -2*c. Let y(m) = 5*m + 1. Suppose 0 = 5*d - 0*t + 2*t + 17, 0 = 3*d - 4*t + 5. Give d*y(u) - 5*h(u). -5*u - 3 Let l(q) = 2*q**3 - 6*q + 1. Let p(s) = 10*s**3 - s**2 - 31*s + 4. Give -11*l(t) + 2*p(t). -2*t**3 - 2*t**2 + 4*t - 3 Let n(a) = 6*a**3 + 7*a**2 - 4*a. Let h(u) = -48*u**2 - 44*u**2 + 2*u - 3*u**3 + 89*u**2. Give 7*h(t) + 3*n(t). -3*t**3 + 2*t Let s(b) = b + 1. Let f(q) = 1. Let t be 5 + -4 - (6 - 2). Let w be t + (0 - (-2 + 0)). Determine w*f(y) + 2*s(y). 2*y + 1 Let q(u) = u + 2. Let n(j) = 2. Calculate 6*n(b) + 5*q(b). 5*b + 22 L
{ "pile_set_name": "DM Mathematics" }
th term of -400003, -399998, -399991, -399982, -399971, -399958, -399943? x**2 + 2*x - 400006 What is the c'th term of -186877, -373753, -560629, -747505? -186876*c - 1 What is the o'th term of 5441, 21797, 49065, 87245, 136337, 196341? 5456*o**2 - 12*o - 3 What is the p'th term of 665, 5465, 18507, 43913, 85805, 148305, 235535? 687*p**3 - p**2 - 6*p - 15 What is the w'th term of 91, -246, -1151, -2906, -5793, -10094, -16091? -47*w**3 - 2*w**2 - 2*w + 142 What is the g'th term of -7643, -7660, -7675, -7694, -7723, -7768? -g**3 + 7*g**2 - 31*g - 7618 What is the d'th term of 3538, 6880, 10222? 3342*d + 196 What is the a'th term of -21312, -21501, -21808, -22227, -22752? a**3 - 65*a**2 - a - 21247 What is the k'th term of -1016, -885, -742, -581, -396, -181, 70, 363? k**3 + 124*k - 1141 What is the x'th term of 32457, 64923, 97395, 129873, 162357, 194847, 227343? 3*x**2 + 32457*x - 3 What is the t'th term of 676353, 676346, 676325, 676284, 676217, 676118, 675981? -t**3 - t**2 + 3*t + 676352 What is the m'th term of -17947, -35926, -53905, -71884, -89863, -107842? -17979*m + 32 What is the i'th term of 7, 75, 267, 643, 1263, 2187, 3475, 5187? 10*i**3 + 2*i**2 - 8*i + 3 What is the q'th term of -22005, -44026, -66047, -88068, -110089, -132110? -22021*q + 16 What is the p'th term of -46835, -93674, -140513, -187352, -234191, -281030? -46839*p + 4 What is the h'th term of 12136, 12141, 12148, 12157? h**2 + 2*h + 12133 What is the m'th term of 132, 97, 32, -69, -212, -403, -648, -953? -m**3 - 9*m**2 - m + 143 What is the b'th term of -1821, -2035, -2249, -2463, -2677, -2891? -214*b - 1607 What is the r'th term of 51, 82, 171, 348, 643, 1086, 1707? 5*r**3 - r**2 - r + 48 What is the o'th term of 4649, 4661, 4679, 4703? 3*o**2 + 3*o + 4643 What is the b'th term of 1032, 4127, 9284, 16503, 25784? 1031*b**2 + 2*b - 1 What is the g'th term of -95866, -95864, -95862? 2*g - 95868 What is the a'th term of 7721, 30924, 69599, 123740, 193341, 278396, 378899, 494844? -a**3 + 7742*a**2 - 16*a - 4 What is the m'th term of 2821, 2666, 2511? -155*m + 2976 What is the o'th term of -1403, -1393, -1377, -1355, -1327, -1293, -1253? 3*o**2 + o - 1407 What is the c'th term of 12698, 25398, 38098? 12700*c - 2 What is the t'th term of -4652, -18561, -41744, -74201? -4637*t**2 + 2*t - 17 What is the t'th term of 21142, 42286, 63428, 84568, 105706, 126842, 147976? -t**2 + 21147*t - 4 What is the t'th term of -42630, -85254, -127878, -170502, -213126? -42624*t - 6 What is the q'th term of -13, -21, -59, -145, -297, -533, -871? -3*q**3 + 3*q**2 + 4*q - 17 What is the b'th term of -45150, -180616, -406390, -722472, -1128862, -1625560? -45154*b**2 - 4*b + 8 What is the g'th term of 5257, 5331, 5445, 5593, 5769, 5967, 6181, 6405? -g**3 + 26*g**2 + 3*g + 5229 What is the o'th term of 1257, 1241, 1225, 1209, 1193? -16*o + 1273 What is the j'th term of 210, 436, 660, 882, 1102, 1320, 1536? -j**2 + 229*j - 18 What is the m'th term of -487, -466, -445, -424? 21*m - 508 What is the p'th term of 856, 1666, 2380, 2950, 3328, 3466, 3316? -8*p**3 + 866*p - 2 What is the j'th term of 2889, 2924, 2955, 2982, 3005, 3024, 3039? -2*j**2 + 41*j + 2850 What is the n'th term of -1465, -2823, -4131, -5389, -6597, -7755? 25*n**2 - 1433*n - 57 What is the m'th term of 29, 186, 571, 1286, 2433, 4114, 6431, 9486? 17*m**3 + 12*m**2 + 2*m - 2 What is the o'th term of 11623, 11768, 11911, 12052, 12191? -o**2 + 148*o + 11476 What is the g'th term of -113795, -227570, -341345, -455120, -568895, -682670? -113775*g - 20 What is the m'th term of 59, -145, -489, -973, -1597, -2361, -3265? -70*m**2 + 6*m + 123 What is the s'th term of -723, -1500, -2329, -3210? -26*s**2 - 699*s + 2 What is the v'th term of -27481, -27484, -27487, -27490, -27493, -27496? -3*v - 27478 What is the j'th term of -18773, -75110, -169007, -300464? -18780*j**2 + 3*j + 4 What is the w'th term of -1286, -1251, -1216, -1181, -1146? 35*w - 1321 What is the p'th term of -179, -666, -1153? -487*p + 308 What is the f'th term of -13230, -13218, -13198, -13170, -13134, -13090? 4*f**2 - 13234 What is the h'th term of 180, 132, 84, 36? -48*h + 228 What is the u'th term of -276, -280, -310, -378, -496, -676? -2*u**3 - u**2 + 13*u - 286 What is the q'th term of 7251, 14539, 21827, 29115, 36403? 7288*q - 37 What is the r'th term of -3622, -7247, -10872, -14497? -3625*r + 3 What is the j'th term of 60, 50, 30, -6, -64, -150, -270, -430? -j**3 + j**2 - 6*j + 66 What is the o'th term of 1567, 1548, 1491, 1390, 1239, 1032, 763, 426? -o**3 - 13*o**2 + 27*o + 1554 What is the v'th term of 756, 1655, 2554, 3453, 4352, 5251? 899*v - 143 What is the n'th term of 5303, 10604, 15905, 21206? 5301*n + 2 What is the q'th term of 13316, 106341, 358844, 850565, 1661244, 2870621, 4558436? 13290*q**3 - q**2 - 2*q + 29 What is the i'th term of -1153, -1291, -1669, -2407, -3625? -20*i**3 + 2*i - 1135 What is the y'th term of -955, -1022, -1077, -1114, -1127, -1110? y**3 - 74*y - 882 What is the d'th term of 10712, 10639, 10566? -73*d + 10785 What is the u'th term of -1963, -2005, -2063, -2137, -2227, -2333, -2455? -8*u**2 - 18*u - 1937 What is the a'th term of 12001, 23993, 35983, 47971, 59957, 71941, 83923? -a**2 + 11995*a + 7 What is the o'th term of 31204, 62192, 93180, 124168? 30988*o + 216 What is the z'th term of 75, 28, -59, -186? -20*z**2 + 13*z + 82 What is the w'th term of 337, 642, 945, 1246? -w**2 + 308*w + 30 What is the f'th term of 2478, 4965, 7440, 9897, 12330, 14733, 17100? -f**3 + 2494*f - 15 What is the a'th term of 3868, 7744, 11620? 3876*a - 8 What is the n'th term of -596666, -596677, -596704, -596753, -596830, -596941? -n**3 - 2*n**2 + 2*n - 596665 What is the k'th term of -917, -938, -973, -1022, -1085, -1162? -7*k**2 - 910 What is the g'th term of 321723, 643450, 965177, 1286904, 1608631? 321727*g - 4 What is the m'th term of 519, 361, 99, -267, -737, -1311, -1989? -52*m**2 - 2*m + 573 What is the j'th term of -282, -246, 124, 828, 1866? 167*j**2 - 465*j + 16 What is the j'th term of -1217, -4859, -10929, -19427? -1214*j**2 - 3 What is the b'th term of 4458, 8889, 13320, 17751, 22182? 4431*b + 27 What is the o'th term of -13718, -27448, -41196, -54968, -68770? -o**3 - 3*o**2 - 13714*o What is the s'th term of 1608, 1571, 1508, 1419, 1304, 1163? -13*s**2 + 2*s + 1619 What is the d'th term of 11899, 23881, 35863, 47845, 59827, 71809? 11982*d - 83 What is the s'th term of 5371, 5389, 5425, 5485, 5575, 5701? s**3 + 3*s**2 + 2*s + 5365 What is the i'th term of -27, -3, 21, 45, 69? 24*i - 51 What is the p'th term of 1144, 1155, 1164, 1171, 1176? -p**2 + 14*p + 1131 What is the w'th term of 68, 46, 0, -82, -212, -402, -664, -1010? -2*w**3 - 8*w + 78 What is the r'th term of 43, 112, 369, 904, 1807, 3168, 5077? 15*r**3 + 4*r**2 - 48*r + 72 What is the c'th term of 14137, 56200, 126305, 224452, 350641, 504872? 14021*c**2 + 116 What is the m'th term of -4015, -4743, -5471, -6199, -6927, -7655? -728*m - 3287 What is the q'th term of -264675, -1058710, -2382101, -4234848, -6616951? -264678*q**2 - q + 4 What is the y'th term of -3828, -7392, -10692, -13734, -16524, -19068? -y**3 + 138*y**2 - 3971*y + 6 What is the b'th term of -73534, -73576, -73628, -73696, -73786, -73904, -74056? -b**3 + b**2 - 38*b - 73496 What is the t'th term of -13462, -13484, -13516, -13564, -13634, -13732, -13864, -14036? -t**3 + t**2 - 18*t - 13444 What is the t'th term of -428, -867, -1304, -1739, -2172, -2603, -3032? t**2 - 442*t + 13 What is the n'th term of 205, 400, 589, 772, 949? -3*n**2 + 204*n + 4 What is the q'th term of -112950, -225903, -338842, -451761, -564654, -677515, -790338, -903117? q**3 + q**2 - 112963*q + 11 What is the g'th term of 56, 105, 132, 125, 72, -39? -2*g**3 + g**2 + 60*g - 3 What is the j'th term of 339, 306, 203, -6, -357, -886? -6*j**3 + j**2 + 6*j + 338 What is the y'th term of 18270, 36520, 54770, 73020, 91270? 18250*y + 20 What is the k'th term of 50863, 101726, 152589, 203452, 254315, 305178? 50863*k What is the s'th term of 392, 363, 318, 257? -8*s**2 - 5*s + 405 What is the j'th term of -25597, -25602, -25607? -5*j - 25592 What is the m'th term of 2190, 2437, 2684? 247*m + 1943 What is the y'th term of -29, 13, 31, -17, -173, -479, -977? -
{ "pile_set_name": "DM Mathematics" }
acement from lcci? 1/6 What is prob of sequence lznp when four letters picked without replacement from {q: 1, d: 2, n: 1, l: 1, z: 1, p: 1}? 1/840 Four letters picked without replacement from {z: 3, w: 3, e: 4, x: 4}. Give prob of sequence xwew. 4/1001 Calculate prob of sequence mr when two letters picked without replacement from {m: 1, w: 1, r: 2, x: 1}. 1/10 Two letters picked without replacement from {e: 2, t: 10}. Give prob of sequence te. 5/33 Three letters picked without replacement from mqxqmoqqqxxoqiqyox. What is prob of sequence xyx? 1/408 What is prob of sequence xk when two letters picked without replacement from foxxxxxkxxffkkfxffx? 3/38 What is prob of sequence okk when three letters picked without replacement from {m: 2, f: 5, o: 4, k: 7}? 7/204 Calculate prob of sequence bbbb when four letters picked without replacement from {b: 4, j: 7}. 1/330 What is prob of sequence iu when two letters picked without replacement from ggggmggiu? 1/72 Calculate prob of sequence hhzh when four letters picked without replacement from hhzhhzhzhzzz. 2/33 Four letters picked without replacement from sksssssssssssssssk. What is prob of sequence sskk? 1/153 Calculate prob of sequence vr when two letters picked without replacement from {r: 1, b: 5, e: 4, s: 2, v: 2}. 1/91 What is prob of sequence yu when two letters picked without replacement from {t: 2, y: 4, u: 2}? 1/7 Three letters picked without replacement from iwafqti. What is prob of sequence atq? 1/210 Two letters picked without replacement from {f: 3, b: 3, h: 4, y: 3, d: 6}. What is prob of sequence hd? 4/57 Three letters picked without replacement from jujgguki. Give prob of sequence gjg. 1/84 Two letters picked without replacement from {t: 2, u: 1}. What is prob of sequence tt? 1/3 Three letters picked without replacement from {h: 4, s: 4, y: 2, n: 4, b: 6}. Give prob of sequence yss. 1/285 Two letters picked without replacement from phqqqpphppccqt. What is prob of sequence pt? 5/182 What is prob of sequence iqq when three letters picked without replacement from {q: 5, i: 7}? 7/66 Calculate prob of sequence ibi when three letters picked without replacement from {n: 4, b: 3, i: 6}. 15/286 Three letters picked without replacement from {m: 7, e: 1, q: 6}. What is prob of sequence mqm? 3/26 Calculate prob of sequence xl when two letters picked without replacement from {u: 2, b: 2, z: 4, p: 7, l: 1, x: 1}. 1/272 Calculate prob of sequence eejm when four letters picked without replacement from {q: 9, m: 5, e: 3, j: 2}. 5/7752 Calculate prob of sequence uvv when three letters picked without replacement from vvvvvvvuvvu. 8/55 Calculate prob of sequence gx when two letters picked without replacement from motogvvgxvtt. 1/66 Four letters picked without replacement from pppippip. Give prob of sequence ppii. 1/28 Calculate prob of sequence my when two letters picked without replacement from {y: 1, m: 2, v: 1}. 1/6 Two letters picked without replacement from llqq. What is prob of sequence ql? 1/3 Four letters picked without replacement from {s: 2, u: 4, p: 1, g: 1}. Give prob of sequence uppp. 0 What is prob of sequence yya when three letters picked without replacement from {y: 3, b: 2, a: 7}? 7/220 What is prob of sequence jjul when four letters picked without replacement from {j: 5, l: 5, u: 2}? 5/297 What is prob of sequence baa when three letters picked without replacement from baabbbb? 1/21 What is prob of sequence mqcc when four letters picked without replacement from {q: 3, m: 4, c: 2}? 1/126 What is prob of sequence tu when two letters picked without replacement from {y: 9, t: 1, v: 4, u: 1}? 1/210 Two letters picked without replacement from kutvkkktkukkkttk. What is prob of sequence kt? 3/20 Calculate prob of sequence xcx when three letters picked without replacement from {x: 12, e: 7, c: 1}. 11/570 Calculate prob of sequence yunn when four letters picked without replacement from unznnynynnnyy. 7/715 Three letters picked without replacement from igiigiggigggiigiiig. What is prob of sequence iii? 40/323 Three letters picked without replacement from rvrrrdndlccnrnnrn. Give prob of sequence ncd. 1/204 Four letters picked without replacement from wxxwxxwxwwxxxx. What is prob of sequence xwxw? 60/1001 Three letters picked without replacement from aaf. What is prob of sequence aaf? 1/3 Calculate prob of sequence fhrr when four letters picked without replacement from {x: 1, h: 1, f: 2, r: 2, n: 4}. 1/1260 Two letters picked without replacement from vnsvqvnvvzbnz. Give prob of sequence nv. 5/52 Three letters picked without replacement from {e: 1, w: 2, h: 1, b: 10}. What is prob of sequence hbe? 5/1092 Four letters picked without replacement from dhididdihiidd. What is prob of sequence dhih? 1/286 Four letters picked without replacement from tvvtvvvtvtv. Give prob of sequence vtvv. 7/66 What is prob of sequence ww when two letters picked without replacement from psllwwo? 1/21 Three letters picked without replacement from {d: 7, p: 2, l: 5, y: 4}. What is prob of sequence ldp? 35/2448 Three letters picked without replacement from xykkxesp. Give prob of sequence ekx. 1/84 Three letters picked without replacement from {c: 3, l: 7}. Give prob of sequence lcc. 7/120 What is prob of sequence cc when two letters picked without replacement from hhffchcc? 3/28 Four letters picked without replacement from wkylkllkwkklklllll. Give prob of sequence wwkl. 1/680 Two letters picked without replacement from {i: 1, h: 1, f: 1, k: 1, o: 1}. What is prob of sequence fk? 1/20 Four letters picked without replacement from {q: 3, u: 13}. What is prob of sequence ququ? 3/140 What is prob of sequence ss when two letters picked without replacement from {s: 3, e: 6, m: 3, k: 2, d: 1}? 1/35 Calculate prob of sequence xt when two letters picked without replacement from kxiskkskstkkssx. 1/105 What is prob of sequence dmdd when four letters picked without replacement from dmdoomoddmod? 1/66 Calculate prob of sequence bm when two letters picked without replacement from {m: 2, b: 7, c: 6}. 1/15 Three letters picked without replacement from {x: 11, o: 2}. Give prob of sequence oox. 1/78 Three letters picked without replacement from {r: 6, k: 4, a: 4}. Give prob of sequence kkr. 3/91 Calculate prob of sequence de when two letters picked without replacement from {d: 5, e: 5}. 5/18 Calculate prob of sequence pu when two letters picked without replacement from pupy. 1/6 Calculate prob of sequence rk when two letters picked without replacement from krrk. 1/3 Two letters picked without replacement from {x: 1, v: 10, g: 2, i: 3}. Give prob of sequence vx. 1/24 What is prob of sequence zczc when four letters picked without replacement from cbppccpzgcczczczzzz? 49/2584 What is prob of sequence rqv when three letters picked without replacement from qrvqsrx? 2/105 What is prob of sequence vp when two letters picked without replacement from soovvqsouqpppvqouvpq? 4/95 What is prob of sequence pppp when four letters picked without replacement from mmmmmmmppmmmmmppmpm? 5/3876 Calculate prob of sequence ees when three letters picked without replacement from {s: 3, e: 17}. 34/285 What is prob of sequence ad when two letters picked without replacement from dwwwadc? 1/21 What is prob of sequence uuk when three letters picked without replacement from qkkkqquuukkqo? 5/286 Three letters picked without replacement from quulgnunnllnllxglu. Give prob of sequence uln. 1/51 What is prob of sequence ddor when four letters picked without replacement from odaondnaradrdrradoa? 5/1938 Four letters picked without replacement from {e: 1, x: 1, i: 1, f: 1, a: 4}. What is prob of sequence xfaa? 1/140 Two letters picked without replacement from {l: 1, i: 2, f: 1, d: 2, g: 2, c: 1}. Give prob of sequence gl. 1/36 Two letters picked without replacement from {p: 2, j: 1, w: 2, z: 5, s: 1, t: 4}. Give prob of sequence ww. 1/105 Calculate prob of sequence sss when three letters picked without replacement from ssppspsssp. 1/6 Three letters picked without replacement from llmlaegemuegel. What is prob of sequence eeg? 1/91 Three letters picked without replacement from {o: 3, a: 3, s: 1}. Give prob of sequence osa. 3/70 What is prob of sequence cccc when four letters picked wi
{ "pile_set_name": "DM Mathematics" }
**3 + h*z**2 = 0? -1, -2/7, 0 Let s = 272/55 - 50/11. Find x, given that 0*x**2 + 2/5*x**3 - 1/5 + 1/5*x**4 - s*x = 0. -1, 1 Let b(u) = u**3 - 7*u**2 + 8*u + 5. Let d be b(6). Let -1 + 1 - d*j + 3*j**2 + 18*j = 0. What is j? -1/3, 0 Let d(o) be the second derivative of -8*o**2 + 4*o - 4*o**3 - o**4 + 0 - 1/10*o**5. Factor d(c). -2*(c + 2)**3 Solve 3/4*k - 1 + 1/4*k**2 = 0. -4, 1 Suppose 2*r + x - 7 = 0, 4*x + 20 = 4*r - 0*x. Let -8*h - 4*h**5 + 30*h**2 - 2*h**2 - 36*h**3 + 30*h**r - 10*h**4 = 0. What is h? 0, 1, 2 Let -128/9 + 2/9*d**3 - 8/3*d**2 + 32/3*d = 0. Calculate d. 4 Let d(t) = -18*t**5 - 20*t**4 + 5*t**3 + 9*t**2 + 2*t + 11. Let k(x) = x**5 + x**4 - 1. Let n(i) = 4*d(i) + 44*k(i). Determine v, given that n(v) = 0. -1, -2/7, 0, 1 Let a(g) be the second derivative of 2*g**7/21 + 2*g**6/5 + 3*g**5/5 + g**4/3 - 11*g. Factor a(l). 4*l**2*(l + 1)**3 Let s(x) = -x**3 - 3*x**2 - 2*x - 2. Let a be s(-3). Let b(m) = 4*m**2 - 4*m + 4. Let c(u) = -5*u**2 + 4*u - 4. Let o(l) = a*b(l) + 3*c(l). Factor o(z). (z - 2)**2 Suppose 0*p - p = -2*g - 1, 5*g - 17 = -4*p. Let b(s) be the third derivative of 0 - 1/12*s**4 + 0*s**p + 0*s - 1/30*s**5 + 2*s**2. Factor b(r). -2*r*(r + 1) Let l(b) = -27*b**4 - 12*b**3 - 21*b**2 + 12*b - 6. Let t = 6 + 12. Let m(w) = w**4 - w**3 + 1. Let j(y) = t*m(y) + l(y). Determine u so that j(u) = 0. -2, -1, 2/3 Let w be (-63)/(-42)*(-3)/(9/(-8)). Let k(j) be the first derivative of 0*j + 1/6*j**2 + 0*j**w - 2 + 1/30*j**5 - 1/6*j**3. Let k(f) = 0. What is f? -2, 0, 1 Let p(w) = -w**2 + 2*w + 1. Let i be p(-1). Let m be (-6)/(-3) + i + 3. Factor 2*n + 0*n**2 - 2*n - n**m - 2*n**2. -n**2*(n + 2) Let d(j) = -j**3 - 7*j**2 - 6*j + 2. Let c be d(-6). Factor -3/5*p**c - p + 9/5*p**3 - 1/5. (p - 1)*(3*p + 1)**2/5 Factor -2/3*z**2 + 8/3*z - 8/3. -2*(z - 2)**2/3 Let w(p) be the first derivative of -7*p**3/5 + 24*p**2/5 - 12*p/5 - 6. Solve w(k) = 0. 2/7, 2 Let j(k) be the second derivative of -k**6/120 - 3*k**5/80 + k**3/6 + 22*k. Factor j(w). -w*(w - 1)*(w + 2)**2/4 Let n = -26 + 261/10. Let m(z) be the second derivative of -3*z - 1/20*z**4 + 3/5*z**2 + 0 - n*z**3. Suppose m(x) = 0. What is x? -2, 1 Suppose 6*f + 15 = 3*f. Let v(x) = 6*x**2 - 2. Let o(r) = -7*r**2 - r + 3. Let b(d) = f*v(d) - 4*o(d). Let b(c) = 0. Calculate c. 1 Let q(k) be the third derivative of -k**8/3360 + k**7/1260 + k**6/180 + k**4/12 - 2*k**2. Let m(p) be the second derivative of q(p). Let m(f) = 0. What is f? -1, 0, 2 Let l(o) be the third derivative of -o**8/147 + 4*o**7/245 + o**6/56 + o**5/210 - 7*o**2. Factor l(c). -c**2*(c - 2)*(4*c + 1)**2/7 Let w(s) = -s**3 + 9*s**2 - 6*s - 9. Let m be w(8). Suppose 0 = m*z - 3*z - 24. Factor 5 + 3*a**4 - 5*a**2 - z*a**4 + 3*a**3 - 3*a + 7*a**4 - 4. (a - 1)*(a + 1)**2*(4*a - 1) Let t(y) be the second derivative of 0 + 0*y**2 - 1/42*y**4 - 6*y - 1/7*y**3. Find u such that t(u) = 0. -3, 0 Let n(r) be the second derivative of -3*r**5/20 + r**4/4 + 4*r. Suppose n(l) = 0. Calculate l. 0, 1 Let q(l) be the second derivative of l**5/5 + l**4 - 2*l**3/3 - 6*l**2 + 14*l. Suppose q(g) = 0. Calculate g. -3, -1, 1 Factor 2/11*d + 4/11 - 2/11*d**2. -2*(d - 2)*(d + 1)/11 Let x(k) be the second derivative of k**5/5 - 3*k**4/4 + k**3 - k**2/2 + 21*k. Factor x(t). (t - 1)**2*(4*t - 1) Let a = 2 - 0. What is o in 2*o**3 + 14*o**4 - a*o**2 - 3*o**3 + 5*o**5 + 3*o**5 + 5*o**3 = 0? -1, 0, 1/4 Let b(q) = -q + 5. Let a be b(3). Find t, given that 0*t**a - 1/4*t**5 - 1/4*t**3 + 0 - 1/2*t**4 + 0*t = 0. -1, 0 Let u be ((-2)/3)/(2/(-6)). Suppose 5*l - 3*x + 2 = 0, l - u*x + 10 = x. Find r, given that 1/4 + 1/2*r + 1/4*r**l = 0. -1 Let s be ((-3)/9)/(2/(-6)). Let q(j) = -3*j. Let x be q(-1). What is m in 4*m**2 + s - 1 + 5*m**x + 2*m**4 + m = 0? -1, -1/2, 0 Factor 3*u**2 + u**3 - 16 + 2*u + 16. u*(u + 1)*(u + 2) Let k be 6*(-1)/4*-2. Let p(r) be the first derivative of -1/3*r**2 - 1/6*r**4 - 2 - 4/9*r**k + 0*r. Solve p(l) = 0. -1, 0 Let a(b) be the first derivative of 28/3*b**3 + 4*b + 16*b**2 - 7. Factor a(x). 4*(x + 1)*(7*x + 1) Suppose 37*w**3 - 9*w - 87*w**3 + 24*w**2 + 6*w**4 + 29*w**3 = 0. Calculate w. 0, 1, 3/2 Suppose 12 = 4*r - q, 2*q = -2*r + 4*q. Let f(k) be the first derivative of 3 - 13/8*k**r + 0*k + 0*k**2 + 1/3*k**3 + 21/10*k**5. Find m such that f(m) = 0. 0, 2/7, 1/3 Let d(z) be the first derivative of z**2 + z + 5/3*z**3 + 3/10*z**5 + 7/6*z**4 + 1. Let j(s) be the first derivative of d(s). Find q, given that j(q) = 0. -1, -1/3 Let z be (1 + -2)*31/3. Let b = z + 223/21. Solve b*i**2 + 4/7*i + 2/7 = 0 for i. -1 Let m(l) be the first derivative of l**5/100 - l**4/20 + l**3/15 - l + 3. Let w(v) be the first derivative of m(v). Factor w(k). k*(k - 2)*(k - 1)/5 Let d(q) be the first derivative of q**5/15 - 11*q**4/12 + 5*q**3 - 27*q**2/2 + 18*q + 41. Factor d(f). (f - 3)**3*(f - 2)/3 Let j(q) be the first derivative of 5/18*q**4 + 0*q + 2/15*q**5 - 1/9*q**2 - 2 + 2/27*q**3. Factor j(b). 2*b*(b + 1)**2*(3*b - 1)/9 Let t(n) = -n**2 + 11*n + 14. Let z be t(12). Let -7*d + 3*d + 4 - 4*d + 4*d**z = 0. Calculate d. 1 Determine u so that 8/3 - 2/3*u**2 - 8/3*u + 2/3*u**3 = 0. -2, 1, 2 Let q(i) be the first derivative of i**5/5 - 11*i**4/4 + 35*i**3/3 - 25*i**2/2 + 8. Factor q(s). s*(s - 5)**2*(s - 1) Let t(w) be the first derivative of -w**4/16 + w**3/4 - w**2/4 + 1. What is m in t(m) = 0? 0, 1, 2 Let 62*j**3 + 12 + 285*j**4 + 291*j**2 - 75*j**5 + 22*j - 65*j - 479*j**3 - 53*j = 0. What is j? 2/5, 1 Suppose 0 + 6 = 3*o. What is c in -4*c**5 + 4*c**5 - 2*c**3 - c**5 - o*c**2 - 1 + 3*c**4 + 3*c + 0*c**4 = 0? -1, 1 Let m = 6 + -4. Let j = 10/23 - -154/69. Find w such that 32/3*w - j - 14/3*w**m = 0. 2/7, 2 Let y be (-15)/3 - 110/(-20). Factor i**2 - y*i + 0*i**3 + 0 + 1/2*i**5 - i**4. i*(i - 1)**3*(i + 1)/2 Let i(b) be the second derivative of -1/35*b**6 + 1/21*b**3 + 0 + 5/42*b**4 - 1/70*b**5 + 2*b - 2/7*b**2. Let i(w) = 0. Calculate w. -1, 2/3, 1 Let c be (-1)/(-4) + (-55)/(-20). Let j(f) = c - 6 + f + 2. Let r(w) = -2*w**2 - 6*w + 6. Let d(x) = -6*j(x) - r(x). Find l such that d(l) = 0. 0 Let v(g) be the second derivative of -8*g**6/45 - 2*g**5 + 17*g**4/3 - 53*g**3/9 + 3*g**2 + 34*g. Solve v(m) = 0. -9, 1/2 Suppose 5*p - 6 - 4 = 0. Let w = -1/426 + 1711/2982. Let -2/7*q**p + w + 2/7*q = 0. Calculate q. -1, 2 Let g(n) be the first derivative of n**9/1008 + n**8/840 - n**7/210 - n**6/180 + n**5/120 - 4*n**3/3 + 3. Let m(o) be the third derivative of g(o). Factor m(l). l*(l - 1)*(l + 1)**2*(3*l - 1) Let t(q) be the third derivative of -q**6/30 + q**4/2 + 4*q**3/3 + 10*q**2. Factor t(h). -4*(h - 2)*(h + 1)**2 Let f(a) = a**3 - 5*a**2 + 4*a + 3. Let x be f(4). Let g(p) = -p**3 + 4*p**2 - 3*p + 3. Let h be g(x). Suppose 9/2*c**2 - 3*c - 3/2*c**h + 0 = 0. Calculate c. 0, 1, 2 Let u(g) = g - 15. Let m be u(10). Let h = 5 + m. Factor h + 0*v - 1/4*v**2. -v**2/4 Let x(r) be the second derivative of 0*r**3 + 2/25*r**5 + 1/25*r**6 + 0*r**2 + 1/30*r**4 + 0 - r. What is a in x(a) = 0? -1, -1/3, 0 Factor 36/7 - 3/7*v**2 - 12/7*v. -3*(v - 2)*(v + 6)/7 Let o(a) = -a**2 + 14*a - 8. Let q be o(9). Let c = q + -331/9. Determine s, given that 2/9*s**3 + 0*s**2 - c*s + 0 = 0. -1, 0, 1 Let w = 18 + -24. Let p = w - -6. Suppose 1/5*v**3 + 0*v + 2/5*v**2 + p = 0. What is v? -2, 0 Let y be (18/108 - 10/(-12))*1. Determine x so that 1/2*x**4 + 1/2*x**3 - 3/2*x**2 + y - 1/2*x = 0. -2, -1, 1 Determine p, given that -4/7*p**2 + 0 + 0*p = 0. 0 Let p = -3/2 - -85/54. Let y(d) be the first derivative of -8/9*d - p*d**3 + 8/9*d**2 - 3 - 1/6*d**4. Factor y(b). -2*(b - 1)*(b + 2)*(3*b - 2)/9 Suppose -4*v = -2*v - 4. Factor 4*t**4 - 5*t**3 - v*t**3 + t**3 + 2*t. 2*t*(t - 1)**2*(2*t + 1) Factor 6*a**2 + 6*a - 3*a**4 - 2*a**3 + a + a**4 + 3*a + 4. -2*(a - 2)*(a + 1)**3 Suppose -4*g + g = -12. Factor -6 - 3*q**2 + g*q + 7 + 2*q**3 + 8*q**2. (q + 1)**2*(2*q + 1) Let h = -34 - -34. Let z be -1 + 3*1 - 0. Let h*t**3 - 2/3*t**4 + 0 + 0*t + 2/3*t**z = 0. What is t? -1, 0, 1 Let j be ((-270)/315)/((-4)/7). Factor -j*g + 3/2*g**3 + 0 + 0*g**2. 3*g*(g - 1)*(g + 1)/2 Let j(v) = -3*v**4 + 24*v**3 - 30*v**2 - 24*v + 21. Let n(i) = 3*i**4 - 23*i**3 + 29*i**2 + 23*i - 22. Let x(q) = -5*j(q) - 6*n(q). Factor x(k). -3*(k - 3)**2*(k - 1)*(k + 1) Let p(b) be the third derivative of -b**7/105
{ "pile_set_name": "DM Mathematics" }
order. 4, 1/2, -1/6, -2/11, -1, -565 Put -0.3, -5, -597/5 in increasing order. -597/5, -5, -0.3 Put 5, 0.4, -3, 2, -26, 4 in descending order. 5, 4, 2, 0.4, -3, -26 Put -3, 0, 10072 in descending order. 10072, 0, -3 Put -1.4, -0.175, 62 in decreasing order. 62, -0.175, -1.4 Put -1, -13064, -3 in descending order. -1, -3, -13064 Sort 11, 6, -1, 2, -23, -3 in increasing order. -23, -3, -1, 2, 6, 11 Put -17, -2, -1, 3, -8 in ascending order. -17, -8, -2, -1, 3 Put 2, 2/21, 2/5, 2/7, 3.48 in descending order. 3.48, 2, 2/5, 2/7, 2/21 Sort -25, 1802, -16, 4 in descending order. 1802, 4, -16, -25 Sort 4, -2, -5, 0.2, -26, 4.2 in descending order. 4.2, 4, 0.2, -2, -5, -26 Sort 1, 40, 4, -9 in descending order. 40, 4, 1, -9 Sort 49, -4, 1, 5, 1339 in ascending order. -4, 1, 5, 49, 1339 Sort 2, -4, 19, 5, 80 in descending order. 80, 19, 5, 2, -4 Sort -1, 4, 1, -13, -5, -2 in increasing order. -13, -5, -2, -1, 1, 4 Sort 4, -0.002, 1.3, 0.02 in increasing order. -0.002, 0.02, 1.3, 4 Put 2, 3, 4, -3, -8, -9 in descending order. 4, 3, 2, -3, -8, -9 Sort -1, -2/5, -3445 in ascending order. -3445, -1, -2/5 Put -1, -0.2, 5746, -1/6 in decreasing order. 5746, -1/6, -0.2, -1 Put 2/9, -1, -30, -5/134 in decreasing order. 2/9, -5/134, -1, -30 Sort -164, -0.6, 4, -2, -0.3 in ascending order. -164, -2, -0.6, -0.3, 4 Sort -3, -22679, -5, 3/4, 1 in decreasing order. 1, 3/4, -3, -5, -22679 Put -2, 1, -5, 2, -9, -533 in descending order. 2, 1, -2, -5, -9, -533 Sort -3, 16, -109, -4, 0 in decreasing order. 16, 0, -3, -4, -109 Put 0, 5, -5, 3, 10021 in decreasing order. 10021, 5, 3, 0, -5 Sort 1, 8, 13, 11281. 1, 8, 13, 11281 Put -64381, -5, 11 in ascending order. -64381, -5, 11 Put 7, 351, 11, -3 in decreasing order. 351, 11, 7, -3 Sort 0, 170, 9 in increasing order. 0, 9, 170 Sort -4/7, 5, 8/3, 4, -2 in descending order. 5, 4, 8/3, -4/7, -2 Sort 8, -4, 12, 11, 3 in ascending order. -4, 3, 8, 11, 12 Put 2, 11, -4, -10.9, -1/2, 5 in descending order. 11, 5, 2, -1/2, -4, -10.9 Put 0.2, -128, 302 in increasing order. -128, 0.2, 302 Put -2, 164, -396, 5, 1 in increasing order. -396, -2, 1, 5, 164 Sort 2, 5, 0, 242, -4 in increasing order. -4, 0, 2, 5, 242 Sort 3668, 2/11, 28 in decreasing order. 3668, 28, 2/11 Put 5, 100977, -1 in descending order. 100977, 5, -1 Put 0, 3.4, -2, -766, 5 in descending order. 5, 3.4, 0, -2, -766 Sort 8/15, -0.21, -2, -2/13, 0.2 in decreasing order. 8/15, 0.2, -2/13, -0.21, -2 Sort -4, 62, -1, 3, -5. -5, -4, -1, 3, 62 Sort -6, -20, 16, 4, -7. -20, -7, -6, 4, 16 Put -2, 20/191, 3 in ascending order. -2, 20/191, 3 Sort -0.5, 199582, 2/11, -4 in descending order. 199582, 2/11, -0.5, -4 Put 2, 65, 5, 27, -5 in descending order. 65, 27, 5, 2, -5 Put -2/3, 9, -7/5, 3, 5, -0.1 in increasing order. -7/5, -2/3, -0.1, 3, 5, 9 Put 3/25, -24, 0.5, 1, 10, 3/2 in increasing order. -24, 3/25, 0.5, 1, 3/2, 10 Sort 3, -5, -68, 1, 18 in ascending order. -68, -5, 1, 3, 18 Sort -256.9, 6, 0 in increasing order. -256.9, 0, 6 Sort 1, 1/3, 0, 0.33, -862 in increasing order. -862, 0, 0.33, 1/3, 1 Sort 32, -0.06, -5, 6/5, -4 in decreasing order. 32, 6/5, -0.06, -4, -5 Sort -4, -3, 7440, 2 in decreasing order. 7440, 2, -3, -4 Sort 0, 4, -203, 3, 29. -203, 0, 3, 4, 29 Sort 425, -2, 20, -174 in descending order. 425, 20, -2, -174 Sort -1, -8, -3987 in decreasing order. -1, -8, -3987 Sort -0.1, -46, -1, -288/7 in ascending order. -46, -288/7, -1, -0.1 Put -4, -74, -2, 12, 1 in decreasing order. 12, 1, -2, -4, -74 Sort 0, 1279, -1, 2 in ascending order. -1, 0, 2, 1279 Put -4, -2, -152, 4, 5, -19 in increasing order. -152, -19, -4, -2, 4, 5 Sort -4, -5, -1, -3, -2, 9004 in decreasing order. 9004, -1, -2, -3, -4, -5 Put 0.2, -3.5, 3, -1.56, 2/7 in increasing order. -3.5, -1.56, 0.2, 2/7, 3 Sort 12, 163, 5 in decreasing order. 163, 12, 5 Put -27, -0.4, 1258, -2, 3, -5 in ascending order. -27, -5, -2, -0.4, 3, 1258 Sort -6, -133, -2, 1, 2. -133, -6, -2, 1, 2 Sort -4/3, -1, 9 in descending order. 9, -1, -4/3 Sort 139, -11, 5, -39. -39, -11, 5, 139 Sort 27, 11318, 0 in ascending order. 0, 27, 11318 Sort -1, -0.0048, 1, 2 in decreasing order. 2, 1, -0.0048, -1 Sort 1, 604, -12 in increasing order. -12, 1, 604 Sort 0.3, -2/5, -142, 0.1. -142, -2/5, 0.1, 0.3 Put 4, -3, 1, 100, -2 in decreasing order. 100, 4, 1, -2, -3 Put -0.1, -5, -0.38, -1, -2.36 in decreasing order. -0.1, -0.38, -1, -2.36, -5 Sort 12, 4, -12, 3, 2, -23 in decreasing order. 12, 4, 3, 2, -12, -23 Put -2, -3, 9, -16, -27, 2 in descending order. 9, 2, -2, -3, -16, -27 Put 4, -6963, -2, 2, -4 in decreasing order. 4, 2, -2, -4, -6963 Put -1174, 4, -3/7, 0.5 in increasing order. -1174, -3/7, 0.5, 4 Sort 3, -50, 25, -5, -1, 0 in ascending order. -50, -5, -1, 0, 3, 25 Sort -2, 22, 17, 0, -6. -6, -2, 0, 17, 22 Sort 2, 3, -1, 3286, 5. -1, 2, 3, 5, 3286 Sort -66607, -1, -3, 1/4. -66607, -3, -1, 1/4 Sort 5, -53814, 0.1, 4, 3. -53814, 0.1, 3, 4, 5 Sort -2, -3, 14, 328, 0 in descending order. 328, 14, 0, -2, -3 Put 9/8, -0.2, 89 in ascending order. -0.2, 9/8, 89 Sort 1/5, 4, -2/12665, -0.3, -3 in ascending order. -3, -0.3, -2/12665, 1/5, 4 Sort -44, -7, -20, 5 in ascending order. -44, -20, -7, 5 Sort -71, 2/9, -0.1612, -4 in ascending order. -71, -4, -0.1612, 2/9 Sort -2, -1, 9032 in decreasing order. 9032, -1, -2 Put 5, 566, 117 in ascending order. 5, 117, 566 Sort 0, -1193, 10 in descending order. 10, 0, -1193 Put 103, 0.17, 1/14 in ascending order. 1/14, 0.17, 103 Put 2, -1.2, -0.42, 15, 0, 3 in descending order. 15, 3, 2, 0, -0.42, -1.2 Sort 1, 23, -263, -3. -263, -3, 1, 23 Put -1029, -2, 142/3 in decreasing order. 142/3, -2, -1029 Sort 1301, 4, -74 in ascending order. -74, 4, 1301 Sort -22, -8, 3, 0, -3, 1. -22, -8, -3, 0, 1, 3 Sort 1, 60, 6, -26. -26, 1, 6, 60 Sort 0, -3, 105, 6 in ascending order. -3, 0, 6, 105 Put -4, 4, -165, 1/3, 0.058 in descending order. 4, 1/3, 0.058, -4, -165 Put -0.3, -3484227, -3/8 in ascending order. -3484227, -3/8, -0.3 Sort 4, 5, 161, 2, 59, -2 in descending order. 161, 59, 5, 4, 2, -2 Sort -3, -4, 0.15, -0.05, -52 in decreasing order. 0.15, -0.05, -3, -4, -52 Sort -18, -13, 5, 0, -2. -18, -13, -2, 0, 5 Sort -239, 1/6, 6, 2/9, 13 in decreasing order. 13, 6, 2/9, 1/6, -239 Sort 5, -528, -62 in decreasing order. 5, -62, -528 Sort 1, 24, -6, 2, 0 in descending order. 24, 2, 1, 0, -6 Put 2/5, 4.7, -1/4, 1 in descending order. 4.7, 1, 2/5, -1/4 Sort 4, -176, 1, 0, -5, 2 in descending order. 4, 2, 1, 0, -5, -176 Sort -0.09, -5, 1/9, 1/12. -5, -0.09, 1/12, 1/9 Put -4, -5, 13783 in decreasing order. 13783, -4, -5 Sort 2, -1, 69653 in descending order. 69653, 2, -1 Sort 2, -16, -2, -102 in increasing order. -102, -16, -2, 2 Sort 114, 4, 3, -4/9, -4 in decreasing order. 114, 4, 3, -4/9, -4 Put 5, 4, 19, -5, 3, -3 in descending order. 19, 5, 4, 3, -3, -5 Sort -16, -3, -2, 3, -0.3. -16, -3, -2, -0.3, 3 Put -6, -5, 6/11, -10 in decreasing order. 6/11, -5, -6, -10 Put -3, -0.3, 4, 0, -0.485 in decreasing order. 4, 0, -0.3, -0.485, -3 Sort -5/7, 18, -1, -1/4. -1, -5/7, -1/4, 18 Sort 245, 4, 2, 1, -3, 9 in decreasing order. 245, 9, 4, 2, 1, -3 Put -0.07084, 5/4, 6 in decreasing order. 6, 5/4, -0.07084 Sort -8, 1, 0, -678 in decreasing order. 1, 0, -8, -678 Sort -7, 5, 24971, -2, 3, -5 in decreasing order. 24971, 5, 3, -2, -5, -7 Put 4, -3, -80794 in decreasing order. 4, -3, -80794 Sort 397, -27, 4, 3, 6 in increasing order. -27, 3, 4, 6, 397 Put -4, 802, -14 in ascending order. -14, -4, 802 Sort -4, -5, 15/14, 1/10, -1 in decreasing order. 15/14, 1/10, -1, -4, -5 Sort 3, 199, -54 in ascending order. -54, 3, 199 Sort -2, 3.36, 0, 38, -0.5 in ascending order. -2, -0.5, 0, 3.36, 38 Sort -709/3, 0.04, -2 in decreasing order. 0.04, -2, -709/3 Put -3, -4, 4, -1, -15, -241 in descending order. 4, -1, -3, -4, -15, -241 Sort 5, -3, -784, -1, 1. -784, -3, -1, 1, 5 Sort -5, 0, 5, 4, 36, -30 in decreasing order. 36, 5, 4, 0, -5, -30 Sort 47, 0, 10 in decreasing order. 47, 10, 0 Put -6, -3, -1, -4, -409 in decreasing order. -1, -3, -4, -6, -409 Sort 18, -229, 13 in increasing order. -229, 13, 18 Sort -25, 621, -4 in increasing order. -25, -4, 621 Put -77, 1, 359 in descending order. 359, 1, -77 Sort 11, 231, -0.3, 4, -2/7 in increasing order. -0.3, -2/7, 4, 11, 231 Put 3, -11, 13, 7, -7 in descending order. 13, 7, 3
{ "pile_set_name": "DM Mathematics" }
e 2*y = 4*y - 34. Suppose 0 = -19*h + y*h + 28. Calculate the remainder when 55 is divided by h. 13 Suppose 0 = -2*c + 3*c - 9. Let x(k) = -2*k - 6. What is the remainder when ((-8)/(-6))/(2/c) is divided by x(-5)? 2 Let n be (2 + -4 - -4) + 4. Let i(w) = w + 7. Let g = 27 + -19. Calculate the remainder when i(n) is divided by g. 5 Suppose 4*p - 145 + 21 = 0. What is the remainder when 395 is divided by p? 23 Let s(g) = g**3 - 4*g**2 - 3*g - 3. Let h be s(5). Suppose h*m - 608 = -9*m. Calculate the remainder when m is divided by 9. 2 Let r(b) = -b - 2. Let m be r(-2). Let l = 3 + m. Let o = -17631 + 17640. What is the remainder when o is divided by l? 0 Let m(d) = 38*d - 581. Calculate the remainder when m(18) is divided by 5. 3 Suppose -5*g = -10*u + 12*u - 1247, 0 = 2*g - 3*u - 495. Calculate the remainder when g is divided by 16. 9 Suppose 0 = 909*v - 895*v - 1092. What is the remainder when v is divided by 9? 6 Suppose -2*s = 3*z - 100, -4*z + 159 = -4*s + 19. What is the remainder when z is divided by ((2 - 8) + 1)*19/(-5)? 15 Let n = -32 - -36. What is the remainder when 45 is divided by 26 + (2/1 - n)? 21 Let k(l) = -l**3 - 11*l**2 - 3*l - 1. Let m be k(-11). Suppose -8*u = -24 - m. Calculate the remainder when 18 is divided by u. 4 Suppose 0*z = -2*z - 4*f - 16, -2*z - f - 4 = 0. Suppose -4*c - r = -z*r - 68, 0 = r - 4. What is the remainder when 46 is divided by c? 14 Suppose 0 = 13*v + 40 - 469. What is the remainder when 104 is divided by v? 5 Let j be 34 - 2 - (4 + -1). Suppose 2*h = h + 15. Let d = j - h. What is the remainder when 27 is divided by d? 13 Suppose -33*r - 63*r + 3552 = 0. What is the remainder when 167 is divided by r? 19 Suppose -93*a + 660 = -89*a. What is the remainder when a is divided by 21? 18 Suppose -30*z - 185 = 29*z - 657. Suppose -2*q + 6*q - 8 = 0. Suppose -3*w = -y - q*y - 81, 0 = w + y - 17. What is the remainder when w is divided by z? 6 Let t = 53 + -3. Let x(s) = -s - 1. Let d be x(-9). Suppose -d = -n + 5. What is the remainder when t is divided by n? 11 Suppose z - 1 = 0, -p + 6*p + 4*z = 29. Suppose -30 = -p*s + 15. Calculate the remainder when s is divided by 2. 1 Suppose 4*n - 5*n + 85 = 0. Suppose t + i = -338 + 12, 0 = -t - 3*i - 318. Calculate the remainder when n is divided by (t/20)/((-6)/8). 19 Let m(w) = w**3 + 10*w**2 - 63*w - 9. What is the remainder when 436 is divided by m(-14)? 80 Let f be (-10)/(-60) - 227/(-6). Suppose k + 0*k - f = -4*l, -2*k + 3*l + 98 = 0. What is the remainder when k is divided by (-4 + (4 - 1))*-12? 10 Calculate the remainder when (128/(-4))/(1 + (-39)/33) is divided by ((-4)/8)/((-9)/810). 41 Let b(n) = -6*n + 232. What is the remainder when b(30) is divided by 29? 23 Suppose -3*m - 21 = -2*c, -3*m - 11 = -5*c + 19. What is the remainder when 10 is divided by c? 1 Suppose -240 = -71*h + 66*h. What is the remainder when 2638 is divided by h? 46 Let n = -11 + 36. Suppose 24*x = 29*x - 75. What is the remainder when n is divided by x? 10 Suppose 8*g = -11*g. Calculate the remainder when 2 + (1 - (g - 1)) - -65 is divided by 28. 13 Let a(p) = 61 + 2*p**2 - 18*p - p**2 - 2*p**2. What is the remainder when 165 is divided by a(-19)? 39 Let o = 81 + -51. Suppose 0 = 7*q - 229 - o. What is the remainder when q is divided by 17? 3 Suppose c + 12 = 3*y, -3*y + 0*c + 12 = -2*c. Let d be (-8043)/(-49) - 30/(-35). Suppose -n = -y*n + d. What is the remainder when n is divided by 19? 17 Calculate the remainder when (1*-4)/(22/(-1793)) is divided by 30. 26 Let y = -1240 - -1259. Calculate the remainder when 776 is divided by y. 16 Let k = 199 - 168. Calculate the remainder when 121 is divided by k. 28 Let k(a) = 2*a**2 + 4*a + 5. Let r = 22 + -27. What is the remainder when 67 is divided by k(r)? 32 Suppose -22 + 82 = 4*m. Suppose 0 = 3*v - 4*i - 70, -9*v + 12*v = -4*i + 86. Calculate the remainder when v is divided by m. 11 Let l = 36 - 25. Let p = 92 + -63. Calculate the remainder when p is divided by l. 7 Suppose 36*z = 9*z + 2457. Calculate the remainder when z is divided by 69. 22 Let f(v) = -v**3 - 6*v**2 + 10*v - 13. Let r(t) = 4*t - 9. Let s be r(0). Calculate the remainder when f(s) is divided by 24. 20 Suppose -768 = -4*i + 2*i. Suppose -12 = -6*u + i. Suppose 2*q - 2*t = -6*t + u, -4*q = 5*t - 123. What is the remainder when 52 is divided by q? 25 Suppose 5*a = 3*o - 250, o + 2*a = -2*a + 72. Suppose -4*x - 151 = -5*n, -4*x + 26 = 3*n - 39. Calculate the remainder when o is divided by n. 26 Suppose 0 = -5*o + 5 + 165. Let z(s) = -s**3 - 8*s**2 - 6*s + 9. Let x be z(-7). Suppose -x*a + 5*a = 36. What is the remainder when o is divided by a? 10 What is the remainder when 97 is divided by (1188/(-84) - -17)/((-2)/(-21))? 7 Let x(k) = k**3 - 16*k**2 - 51*k - 23. What is the remainder when x(19) is divided by 32? 27 Let w(j) = -2*j**2 + 75*j - 77. Suppose -76 = -2*k + 36. Calculate the remainder when k is divided by w(36). 25 Let n be 6*2/(-2 - 2). Let l = n + 26. What is the remainder when 66 is divided by l? 20 Suppose 0 = -4*h - 5*a + 31 + 204, a = 3. Let c = -6 + 20. What is the remainder when h is divided by c? 13 Let n = 53 + -25. Calculate the remainder when 1832/n - 8/(-14) is divided by 34. 32 Suppose -166 = -j + 3*b, -32*j + 29*j - 4*b = -511. Suppose -o + 3*q = -34, 0 = -7*q + 2*q. What is the remainder when j is divided by o? 33 Let i = -413 - -457. What is the remainder when i is divided by 14? 2 Suppose 8*x - 3*x + 20 = 0. What is the remainder when 1 is divided by x/(-12)*2/((-6)/(-9))? 0 Suppose 4*v + 175 = 5*y + 20, -2*y = 3*v - 39. Let c = 42 - 36. Calculate the remainder when y is divided by c. 3 Let p be -3*(1394/85 - (-3)/5). Suppose -6*w + 3*w = -174. What is the remainder when w is divided by p/34*80/(-6)? 18 Calculate the remainder when 120 is divided by 5 + 49/(-14) - 162/(-4). 36 Let k = -23 + 45. Let f(y) = -y**2 - 9*y + 6. Calculate the remainder when (-4)/(-22) + 568/k is divided by f(-8). 12 Let p(f) = 8*f - 34. Let t be p(5). Let s(o) = -o**3 + 9*o**2 - 7*o - 4. Let n be s(8). Suppose n + t = i. Calculate the remainder when 59 is divided by i. 9 Suppose -75 = 3*u - 252. What is the remainder when u is divided by 2? 1 Suppose -2*x = -21 + 5. Let g = x + -4. Suppose -4*h + 4*v + 124 = 0, g*v + 3 = -1. What is the remainder when 118 is divided by h? 28 Calculate the remainder when (64/(-8) + 7)*-137 is divided by 36. 29 Let o(i) = 7*i + 4. Let t(q) = 3*q**3 - 13*q**2 + 6*q + 17. What is the remainder when t(5) is divided by o(3)? 22 Suppose -5 - 1 = -6*f. Suppose 0 = 16*v - 32 + 16. What is the remainder when f is divided by v? 0 Suppose -3*j + 7 = -4*n - 0, -3*n = -3*j + 9. Let k be (4/n - -11)*5. Suppose 4*i + 0*i + d = k, d = 4*i - 55. Calculate the remainder when 42 is divided by i. 12 Let x = -344 - -491. What is the remainder when x is divided by 17? 11 Let d = -337 - -441. What is the remainder when d is divided by 19? 9 Suppose 17*g - 42 = 15*g. Suppose -5*x + g + 124 = 0. Calculate the remainder when x is divided by 15. 14 Suppose -85 = 7*j - 2*j + 5*o, 3*j - 4*o + 65 = 0. Let a = 94 + j. Let z = 29 - 10. What is the remainder when a is divided by z? 18 Let t be (-8)/(-4)*2/4. Suppose -v + 12 = 2*x, -2*v + t - 4 = -5*x. Let d(a) = 2*a**2 + 16*a + 5. Calculate the remainder when d(-9) is divided by v. 5 Let o(i) = -i - 5. Suppose -v - 2*v + n = 22, 0 = 3*v + 5*n - 2. Let g be o(v). Calculate the remainder when ((-7)/3)/(g/(-51)) is divided by 30. 29 Suppose 0 = -582*g + 576*g + 1218. Calculate the remainder when g is divided by 11. 5 Suppose 103*b - 23463 = 11763. What is the remainder when b is divided by 74? 46 Let j = 61 + -57. Calculate the remainder when 63 is divided by 2*(0 + (-2)/j - -6). 8 Calculate the remainder when 83 is divided by 1*(0 + (-9)/3) + 35. 19 Suppose 0 = 2*z - 0*z - 220. Suppose -7*b + 299 - z = 0. What is the remainder when b is divided by 16? 11 Suppose -5*r = -10*r - 3*u + 4835, 2*u = -10. What is the remainder when r is divided by 81? 79 Suppose -3*q - q = -16. Calculate the remainder when 34/6 + (-32)/624*13 is divided by q. 1 Let a = -8 - -27. Suppose -5*d + a = -61. Let z = 37 + -31. What is the remainder when d is divided by z? 4 Let c = -439 + 564. What is the remainder when c is divided by 63?
{ "pile_set_name": "DM Mathematics" }
emainder when 229699 is divided by 43. 36 What is the remainder when 489 is divided by 142? 63 What is the remainder when 522673 is divided by 33? 19 What is the remainder when 10816 is divided by 102? 4 Calculate the remainder when 1086 is divided by 123. 102 Calculate the remainder when 9653 is divided by 46. 39 Calculate the remainder when 285 is divided by 33. 21 What is the remainder when 318 is divided by 21? 3 What is the remainder when 10459 is divided by 181? 142 What is the remainder when 303658 is divided by 20? 18 Calculate the remainder when 614952 is divided by 33. 30 What is the remainder when 3657 is divided by 58? 3 What is the remainder when 4370 is divided by 294? 254 What is the remainder when 6308 is divided by 211? 189 Calculate the remainder when 128843 is divided by 9203. 1 Calculate the remainder when 100746 is divided by 48. 42 Calculate the remainder when 69839 is divided by 34917. 5 Calculate the remainder when 1270 is divided by 382. 124 Calculate the remainder when 23171 is divided by 289. 51 What is the remainder when 1086 is divided by 366? 354 What is the remainder when 23808 is divided by 243? 237 Calculate the remainder when 2285632 is divided by 14. 6 What is the remainder when 13165 is divided by 6574? 17 What is the remainder when 4567 is divided by 41? 16 Calculate the remainder when 337398 is divided by 25. 23 Calculate the remainder when 18996 is divided by 161. 159 Calculate the remainder when 127355 is divided by 944. 859 Calculate the remainder when 1928 is divided by 327. 293 What is the remainder when 2475 is divided by 19? 5 Calculate the remainder when 155436 is divided by 57. 54 What is the remainder when 8783 is divided by 59? 51 What is the remainder when 1481769 is divided by 18? 9 What is the remainder when 7734 is divided by 109? 104 Calculate the remainder when 483649 is divided by 68. 33 Calculate the remainder when 37402 is divided by 1968. 10 Calculate the remainder when 7280 is divided by 607. 603 What is the remainder when 57 is divided by 31? 26 What is the remainder when 329664 is divided by 73? 69 Calculate the remainder when 66653 is divided by 23. 22 Calculate the remainder when 4121 is divided by 877. 613 What is the remainder when 130597 is divided by 3185? 12 What is the remainder when 550314 is divided by 121? 6 Calculate the remainder when 31227 is divided by 29. 23 Calculate the remainder when 4456 is divided by 1484. 4 Calculate the remainder when 7499 is divided by 748. 19 Calculate the remainder when 141773 is divided by 510. 503 Calculate the remainder when 16712 is divided by 539. 3 Calculate the remainder when 141284 is divided by 41. 39 Calculate the remainder when 17839 is divided by 48. 31 What is the remainder when 3797 is divided by 986? 839 What is the remainder when 7720 is divided by 224? 104 Calculate the remainder when 8995 is divided by 477. 409 Calculate the remainder when 36238 is divided by 3293. 15 Calculate the remainder when 248 is divided by 202. 46 Calculate the remainder when 24073 is divided by 8010. 43 What is the remainder when 4004 is divided by 797? 19 Calculate the remainder when 231183 is divided by 58. 53 What is the remainder when 9643 is divided by 3191? 70 What is the remainder when 3051 is divided by 108? 27 Calculate the remainder when 833 is divided by 17. 0 What is the remainder when 218456 is divided by 261? 260 Calculate the remainder when 67867 is divided by 1013. 1009 Calculate the remainder when 844 is divided by 50. 44 What is the remainder when 65708 is divided by 21899? 11 What is the remainder when 100294 is divided by 9? 7 Calculate the remainder when 1138 is divided by 127. 122 What is the remainder when 12335 is divided by 102? 95 Calculate the remainder when 35699 is divided by 150. 149 Calculate the remainder when 2566364 is divided by 1072. 1068 Calculate the remainder when 812254 is divided by 8. 6 What is the remainder when 2232 is divided by 100? 32 Calculate the remainder when 434396 is divided by 800. 796 What is the remainder when 12112 is divided by 810? 772 Calculate the remainder when 78178 is divided by 167. 22 What is the remainder when 8628 is divided by 861? 18 What is the remainder when 251795 is divided by 4? 3 Calculate the remainder when 63767 is divided by 6376. 7 Calculate the remainder when 64712 is divided by 25. 12 What is the remainder when 108580 is divided by 2934? 22 Calculate the remainder when 2289 is divided by 2274. 15 What is the remainder when 12530 is divided by 1393? 1386 What is the remainder when 192365 is divided by 782? 775 What is the remainder when 625 is divided by 54? 31 Calculate the remainder when 24753 is divided by 24737. 16 What is the remainder when 1844 is divided by 534? 242 What is the remainder when 20169 is divided by 20159? 10 Calculate the remainder when 6444 is divided by 1487. 496 What is the remainder when 8144 is divided by 3987? 170 Calculate the remainder when 1154 is divided by 287. 6 Calculate the remainder when 34867 is divided by 4292. 531 What is the remainder when 3755 is divided by 805? 535 Calculate the remainder when 1205372 is divided by 40179. 2 What is the remainder when 1817089 is divided by 9? 7 Calculate the remainder when 1218 is divided by 26. 22 What is the remainder when 184606 is divided by 32? 30 What is the remainder when 5517 is divided by 1831? 24 What is the remainder when 7891 is divided by 3938? 15 Calculate the remainder when 29309 is divided by 14. 7 What is the remainder when 699027 is divided by 58252? 3 Calculate the remainder when 5719425 is divided by 132. 129 What is the remainder when 3511 is divided by 5? 1 Calculate the remainder when 69885 is divided by 64. 61 What is the remainder when 801 is divided by 561? 240 What is the remainder when 15772 is divided by 1093? 470 What is the remainder when 7367 is divided by 125? 117 What is the remainder when 5448 is divided by 11? 3 Calculate the remainder when 128 is divided by 82. 46 Calculate the remainder when 36180 is divided by 52. 40 What is the remainder when 4690 is divided by 4577? 113 What is the remainder when 1108450 is divided by 17? 16 What is the remainder when 3743 is divided by 66? 47 What is the remainder when 3210 is divided by 1024? 138 Calculate the remainder when 13599 is divided by 3321. 315 Calculate the remainder when 29127 is divided by 119. 91 What is the remainder when 114014 is divided by 3? 2 Calculate the remainder when 395936 is divided by 11312. 16 What is the remainder when 807293 is divided by 942? 941 What is the remainder when 42364 is divided by 223? 217 Calculate the remainder when 24803 is divided by 205. 203 Calculate the remainder when 3569 is divided by 11. 5 What is the remainder when 5284 is divided by 176? 4 What is the remainder when 30688 is divided by 101? 85 What is the remainder when 52246 is divided by 1196? 818 Calculate the remainder when 1004951 is divided by 312. 311 What is the remainder when 255233 is divided by 256? 1 Calculate the remainder when 22775 is divided by 4434. 605 What is the remainder when 97645 is divided by 350? 345 Calculate the remainder when 2635 is divided by 1908. 727 Calculate the remainder when 436307 is divided by 309. 308 What is the remainder when 42438 is divided by 144? 102 What is the remainder when 648 is divided by 60? 48 What is the remainder when 13646 is divided by 358? 42 What is the remainder when 2384 is divided by 113? 11 What is the remainder when 3756885 is divided by 36? 33 What is the remainder when 393022 is divided by 192? 190 Calculate the remainder when 174025 is divided by 313. 310 What is the remainder when 1600 is divided by 737? 126 Calculate the remainder when 24579 is divided by 1524. 195 Calculate the remainder when 143628 is divided by 18. 6 Calculate the remainder when 54932 is divided by 343. 52 What is the remainder when 1754 is divided by 374? 258 Calculate the remainder when 268 is divided by 231. 37 Calculate the remainder when 1252 is divided by 55. 42 Calculate the remainder when 1111280 is divided by 111128. 0 What is the remainder when 21997 is divided by 27? 19 What is the remainder when 4961552 is divided by 215? 212 Calculate the remainder when 19246
{ "pile_set_name": "DM Mathematics" }
+ 2 = 0. What is the second smallest value in r, -2/5, 0.2? -2/5 Let s be (-10)/(-3) + (-2)/6. Let r be ((-2)/3)/((-2)/s). Let w be ((-16)/(-132))/(-2 + 8/6). Which is the second smallest value? (a) r (b) 3/8 (c) w b Let n = 13 + -10.5. Let c = 2 - n. What is the smallest value in 2/3, c, -1/4? c Let u = 859/7980 - 1/420. Let i be (372/(-210) - -1) + (-8)/(-14). Which is the smallest value? (a) -2 (b) i (c) u a Let v = 0.06 - 0.1. Let b = -2.04 - v. Let a = b - -3. What is the smallest value in 2/9, 2/13, a? 2/13 Suppose -2*v + 11 = 5*s, -3*v - 3*s + 12 = -0*v. Which is the biggest value? (a) v (b) 0.4 (c) 0.5 a Let o = 25/4 + -67/12. Let z = 0.1 - 0.22. Let k = z + 0.62. Which is the biggest value? (a) -2/15 (b) o (c) k b Let j = 0 - -1. Let l = 2 - j. Let s = -108 - -111. Which is the second smallest value? (a) 4 (b) l (c) s c Let r = -6/11 + 23/22. Which is the smallest value? (a) r (b) -0.2 (c) -4 c Let o be (-10)/25 + (-2)/(-5). Suppose o = h + 3*q - 16, 5*h - 3*q - q = 42. Let s = 5 - h. Which is the second biggest value? (a) 4 (b) -2/13 (c) s b Let y = 2 - 2.2. Let x = -2 - -2.4. Let v be (-15)/21 - (-2 - -1). What is the second biggest value in x, y, v? v Let b = -29.65 + 29. Let z = -0.05 - b. Let y = -0.5 + z. What is the second biggest value in y, 5, 0.2? 0.2 Let k = -0.6 + 0.4. Which is the biggest value? (a) -1 (b) k (c) 2 c Let d = -0.05 + -4.95. Let s = -0.14 + 0.1. Let u = s + -0.26. Which is the third smallest value? (a) u (b) 0.1 (c) d b Let j = -1.8 - -1.9. What is the fourth smallest value in -1/21, -2, j, -1/2? j Let k = -0.8 - 0.2. Let v = -3 + 3.7. Let d = v - 1. Which is the biggest value? (a) -0.1 (b) k (c) d a Let z = 23.5 + -4.5. Let p = -13 + z. Let n = p - 7. What is the biggest value in 0.3, n, 0? 0.3 Let z = -2019/8 - -252. Which is the biggest value? (a) -0.4 (b) -1/2 (c) -1/4 (d) z c Let s = -0.9 + -6.1. Let i = s + 11. Let l = -8 + 3. Which is the biggest value? (a) -2/3 (b) i (c) l b Suppose -g - 9 = -4*g. Let v = 105 - 1051/10. Which is the third smallest value? (a) -2/9 (b) g (c) v b Let z = -4 + 5. Let u = z - 1.1. Let j = 2.88 - -0.12. What is the second biggest value in 0, j, u? 0 Let v = -3 - 1. Let q be -2*(28/26 - 1). Let z = -0.7 + -4.3. Which is the third smallest value? (a) v (b) z (c) q c Let d be (7/3)/((-3)/27). Let q be 4/14 + (-498)/d. Let w be ((-8)/q)/((-8)/(-6)). What is the smallest value in w, 5, 1/2? w Let h(n) = n**3 + 4*n**2 - 7*n + 6. Let k be h(-6). Let i be 27/k - -1 - 0. Which is the biggest value? (a) 5 (b) i (c) 0.3 a Let x = -0.08 + 0.08. Let c = 1 - 0. Let f = c + -2. What is the third smallest value in f, x, -5/4? x Let f(z) = z + 2. Let q be f(-2). Let b = -4.8 - -5. What is the third smallest value in b, -3, q? b Let w = 39.6 - 40. What is the biggest value in 6/5, 1/2, w? 6/5 Let n = 19 - 19.1. Let h = 40.9 - 37. Let u = n - h. Which is the smallest value? (a) u (b) -0.4 (c) -2 a Suppose v - u + 2*u = -4, -4*v - 21 = -u. What is the third biggest value in v, -30, 4? -30 Let j be 14/44 - 1/2. What is the biggest value in -5, j, -1? j Let m be (-18)/(-63) + (-20)/119. What is the smallest value in m, -0.04, -0.1? -0.1 Let y = -0.1 - -0.2. Let w = 2.3 + -3. Let s = 1.7 + w. Which is the third smallest value? (a) y (b) s (c) 4 c Let l = -2 + 6. Let b be (-2)/(-8) - 538/(-24). Let t = b - 22. What is the smallest value in l, t, -6/11? -6/11 Let d = -0.6 - -1. Let o = -12 - -13. Let y = -12 - -6. Which is the second biggest value? (a) o (b) y (c) d c Suppose 3*q - 8*q = -10. Let h be 1 + -5 + 4/q. Let x(k) = k**2 - 2*k - 3. Let m be x(h). Which is the second smallest value? (a) -3/4 (b) m (c) 0.4 c Let z = -25 - -20. Which is the biggest value? (a) -47 (b) z (c) 0.4 c Let j = -0.8 + -0.2. Let n be (-89663)/(-616) + (-4)/22. Let c = n - 145. What is the smallest value in c, j, 0? j Let y = -0.7 + 1.23. Let a = -0.17 - y. Let n = a + 0.8. What is the second biggest value in -5, n, 0.05? 0.05 Let k = -1.7 + 1.5. What is the third biggest value in 0.5, k, 0.1? k Let k = -15.8 + 16. Let r = -0.09 - -2.09. What is the third biggest value in r, k, -4/7? -4/7 Suppose 2*f + o - 5 = 0, 3*f - 4*o + 2*o - 18 = 0. Suppose -6*s = -f*s + 2. Which is the third biggest value? (a) s (b) 0.3 (c) -3 c Let g be (-22)/(-55) - -3*(-9)/5. Which is the smallest value? (a) 5 (b) g (c) 0 (d) 4 b Let r = -32.9 + 33. What is the second smallest value in r, -0.4, 5? r Let z = -0.23 + -0.07. Let l = -0.2 + z. Let h = 8 - 13. Which is the biggest value? (a) h (b) 5 (c) l b Suppose -3*n = -4*n + 1. Which is the third biggest value? (a) n (b) -2/35 (c) 2 b Let y = 0.67 - 0.57. What is the second biggest value in 0.2, y, -2, -2/11? y Let s = -2 - -1. Let t = s + 1.4. Let g be (-28)/308 + 108/(-22). What is the second smallest value in g, t, 4/5? t Let r = 8 - 5. Let s = 1 - r. Let u be (-8)/12*18/(-15). Which is the biggest value? (a) s (b) 3 (c) u b Let z = -5 - -5. Let i = z + 4. Let m = 1.2 - 1.7. What is the biggest value in m, i, -2? i Let n(m) = -m**3 - 5*m**2 + 5*m - 7. Suppose r + 1 = -5. Let k be n(r). Let z = 0.22 + -0.32. Which is the second biggest value? (a) 5 (b) z (c) k b Let g = 6 - 1. What is the second biggest value in 2/7, -4/3, g? 2/7 Let m = -11.6 + -0.4. Let c = m - -12.1. What is the biggest value in 1, c, 1/5? 1 Suppose -1 = 4*o - 21. What is the second biggest value in -2, 2, o? 2 Suppose c - 30 = 4*c. Let p be 5*(-1 + (-6)/c). Let q be 10/35*p/4. What is the second biggest value in 0.5, q, 3/5? 0.5 Let u = -826/9 + 92. Let z = -0.03 + 5.03. Let g = -2.4 - -5.4. What is the second biggest value in u, g, z? g Let o be (-2)/(-4)*4/5. Let x(i) be the second derivative of -i**3/3 + 5*i**2/2 + 3*i. Let y be x(5). Which is the second biggest value? (a) y (b) -1 (c) o b Let q(j) = j**3 + 5*j**2 + 5*j + 1. Let g be q(-4). Let z = 0.9 - -4.1. What is the third biggest value in z, 4, g? g Let k = 40 + -36.7. Let p = -3 + k. Let o = 5/2 + -13/4. Which is the third biggest value? (a) p (b) 0.1 (c) o c Let t(k) = k. Let w be t(-2). Let b = -257.01 - -257. What is the third smallest value in w, -0.4, b? b Let b = -184/909 - 2/101. Let u be 1 + 3 + 81/(-21). What is the third biggest value in b, 1/3, u? b Suppose -6*j = -3*j + 9. Let k be (-2)/4*j/12. What is the third biggest value in -1, 0.4, k? -1 Let y(v) = -2*v**2 + 13*v - 4. Let c be y(6). Let g = -0.5 + 0.8. What is the third biggest value in 1, g, c? g Suppose -3 = -2*n - 3*h + 2, 4*n = -3*h + 7. Let v be n/(4/(-14)) + 3. Let y = -3.4 + 3. What is the smallest value in 5, y, v? v Let r = 26.9 - 0.9. Let u = r - 29. Which is the third biggest value? (a) -2/7 (b) u (c) 3 b Suppose -5*t - 105 = -0*t. Let z be (-6)/t + (-86)/7. Let j be 1/((3/z)/1). What is the third biggest value in j, -1, 0.2? j Let j = -19 - -25. Which is the fourth smallest value? (a) 1/11 (b) j (c) 3/7 (d) 4/7 b Let d = -10/3 + 41/12. What is the third biggest value in 2/9, -0.3, -4, d? -0.3 Let m = 147/8 + -2221/120. Let t = -2 + 1.8. What is the second smallest value in t, m, -2? t Let j = 13 + -20. Which is the smallest value? (a) j (b) 1/2 (c) -2/7 a Let l = 1/24 + 13/72. Let z = -11.5 + 11. Which is the smallest value? (a) l (b) z (c) 0.1 b Let o be 2/21 + (-1)/(-3). Let u = -171/10 - -17. Which is the second biggest value? (a) -4 (b) o (c) u c Let h be (-2)/(8*3/6). Which is the second smallest value? (a) -2 (b) 0.2 (c) -12 (d) h a Let l = -0.11 + -0.29. What is the fourth biggest value in -2, -4, l, -1/7? -4 Suppose f + 2*f = -2*s - 9, s = -5*f - 15. Which is the second smallest value? (a) 14 (b) -2/5 (c) s (d) -3 b Let h = 4/17 + -3/85. What is the second smallest value in 2, -33, h, 0.5? h Let p = -14.3 - -15. Which is the smallest value? (a) -2/13 (b) p (c) 1/3 (d) -0.1 a Let j = -5 + 5.35. What is the third smallest value in 2/3, -5, j? 2/3 Let d = 4.8 + -7.8. Let r = 0.1 - -0.4. Which is the second smallest value? (a) -5/3 (b) r (c) d a Let u = 449.03 - 447. Let k = u - 2. Let j = 0.17 + k. Which is the second smallest value? (a) -1/2 (b) 0.5 (c) j c Let z = -29 + 34. Let y = -69/245 + 4/49. Which is the third biggest value? (a) y (b) 3 (c)
{ "pile_set_name": "DM Mathematics" }
or p. -6 Solve 14*v - 472 = -23530*g + 23531*g, v + 11*g = 78 for v. 34 Solve 13*u = 2*y + 41, -u = 5*y + 17109314 - 17109312 for y. -1 Solve 5*q = -6776*o + 6770*o + 142, 15*o + q = 56 for o. 2 Solve -11*l + 7*l - 6*t = 160, -5*l + 117*t - 56*t - 66*t - 210 = 0 for l. -46 Solve 0 = -6*s - 5*b - 332 + 310, -3*b - b = -5*s - 5 + 3 for s. -2 Solve 36*s - 50*s = -3*f - 330, -3*s - 2*s = -2*f - 116 for s. 24 Solve b - 3*b - 36 = -27*a + 13*a, -4*a = 5*b + 12 for a. 2 Solve -5*s + 13 = -0*s + 2*w, 5*s - 2*w + w = s for s. 1 Solve 0 = -73*r + 91*r - 4*c + c - 99, 0 = -4*r - c + 27 for r. 6 Solve 2*k + p - 2 = k - 4*p, -5*k + 47*p - 18*p = -7*k + 4 for k. 2 Solve 305*o = 310*o + 26*y - 24*y - 43, -11*o + 87 = 4*y for o. 1 Solve -24*u = -5*g - 62, 4*u - 17 = 5*g - 9 - 6 for u. 3 Solve 4*b - 229 + 39 = -19*a, b - 26048*a = -26049*a + 10 for b. 0 Solve -k = 5, 0 = -2*c - 722*k + 724*k + 14 for c. 2 Solve 2*y + 62 - 21 = -5*v + 4*y, 0 = 3*v - 2*y + 334 - 311 for v. -9 Solve 5180*z = 2586*z + 2591*z - 4*j - 3*j, 4*z = -3*j for z. 0 Solve 100 + 7 - 11 = -6*h + 3*i, 4*h - 128 = -6*i for h. -4 Solve 48 = -3*a - 3*p, -3*p + 6 = -2*a - 17*a + 12*a + 14 for a. -4 Solve -2*s + 3*v = -26, 0*s + 9*v - v - 264 + 250 = -3*s for s. 10 Solve 15*m + 5*s = -350, -2*m = -5*m + 5*m + 28*s + 4 + 70 for m. -23 Solve 2*n = 3*i - 6, -80*i + 150 + 10 = -n for i. 2 Solve 4*n - 4*f = -1 - 51, 10*f + 7*f - 15*f - 30 = 0 for n. 2 Solve 183*o = 3*s + 188*o + 40, -5*o = -s + 40 for s. 0 Solve -4*k + 5*g + 34 + 133 = 0, 3*k - 27*g = -g - 25*g + 40 for k. 3 Solve -15090*u - 24 = -15087*u + 10*o, 3*u - 5*o = 21 for u. 2 Solve -13*j - a + 31 = -8*j + 3*a, 3*a = -50*j + 162 for j. 3 Solve s = 3*g + 3*s - 89, -121*g + 3968 = -117*s + 122*s for g. 33 Solve 5641*y - 4*i + 496 = 5637*y, 3*y + 5*i + 348 = 0 for y. -121 Solve -2*n + 6*y + 134 - 186 = 2*y, 2*y - 27 = -2*n - 1 for n. 0 Solve -46*c - 396*q + 144*q = -51*c - 1749, 0 = 2*c + 3*q - 27 for c. 3 Solve 543*i = 539*i - 4, -680 = 5*n + 5*i - 710 for n. 7 Solve 5*o - 8 = -x, 0 = 79*x + 5*o + 7 - 118 - 131 for x. 3 Solve -2*r - 7060 = -6*z - 7032, 0 = 5*r + 70 for z. 0 Solve -3*t + 14*d + 82 = 0, 274*d = 3*t + 271*d - 27 for t. 4 Solve 634141 = 5*i - 4*p + 634099, 4*i - 51*p = 655 for i. -2 Solve 572 = g + 21*f, 70*g - 3*f + 76 = 69*g for g. 5 Solve -5*l - 43 = 3*x, -2*l = -236*x - 776*x + 4070 for x. 4 Solve 28*z - 178*q = 26*z - 708, z + 3*q = 14 for z. 2 Solve -5*x + x = 1392*p - 1396*p - 44, 16*p = x - 9 - 17 for p. -1 Solve -2*n = 4*r - 0*n - 8*n + 18, 3*n + 3 = 0 for r. -6 Solve -22*d - 108 = 2*n, 5*d + 5*n - 189 - 215 = -424 for d. -5 Solve j = -m - 19, 5*j - 24 + 21 = 44*m for j. -17 Solve 2*v - 45 = -4*y - 37, -6 = 38*v - 3*y + 237 for v. -6 Solve 2*x = -48*q + 49*q + 5, -5*q + 20 = -2*x + 7*x for x. 3 Solve -4*w + 63*f = -0*w - 191*f + 4846, 2*w - 21 = -f - 12 for w. -5 Solve -4*d + 128 = -4*s, -18718*d - 5*s - 131 = -18722*d for d. 29 Solve 106 = 2*c + 36523*g - 36519*g, 0*c = 2*c + 2*g - 102 for c. 49 Solve -123 = -5*q - z - 116, 0 = -2*q + 5*z - 35 for q. 0 Solve -328*c + 327*c - 6*d = -6, 4*d = -2*c + 4 for c. 0 Solve 5*i - 9*n = -40331 + 40500, 0 = -2*i - 4*n + 120 - 22 for i. 41 Solve 6286*z - 6283*z + 12 = 0, 0 = -2*m + 3*z - 26 for m. -19 Solve -7576*j + 7577*j = 2*r + 5, 0 = -5*j + 7*r + 327 - 296 for j. 9 Solve -2*r + 80066 = -2*k + 80052, -3*k = -2*r + 17 for r. 4 Solve y - 2*j + 10 = 0, 7440*j - 7438*j + 30 = -4*y for y. -8 Solve 0 = 12*w + 332*l - 327*l + 101, 2*l = -3*w - 26 for w. -8 Solve -2*a - i - 9 = 0, 12931 = -15*a + 19*a + 17*i + 12874 for a. -7 Solve 5*b - 406096 = 3*a - 406031, -5*b - 25 = 3*a for b. 4 Solve 0 = 19*m - 9*m + z - 5, -652*z + 20 = -656*z for m. 1 Solve 803 = -2*y + 13*l, -3345*l = -y - 3341*l - 120 - 129 for y. -5 Solve -2*i + 5*i = 5*u + 15072 - 15120, -7*i + 4*u = i + 156 for i. -21 Solve -3*z - 13 = -b + 30, -7*b + 5*b + 5*z = 4*z - 6 for b. -5 Solve 14*s = r + 4*s + 6*s + 5, -150 = 4*r + 10*s for r. -25 Solve -2*i - 15 = g, -24831*i + 24832*i - 5*g = -2 for i. -7 Solve 5*g + 1044 - 533 = 23*f + 550, -5*g + 5*g - 2*f = 6 for g. -6 Solve 142*i - 81 = 141*i + 18*v, 3*i - 13*v + 16*v = 15 for i. 9 Solve -3*m + 86 = 5*a, 41*a - 1444 = 2*m - 1590 for a. -2 Solve -r = 20*m + 5, -3*m = -688*r + 689*r - 12 for r. 15 Solve -56*y - 9 = -64*y - 4*o - o, -3 = 4*y + o for y. -2 Solve 3*o + 53 = -0*g + 5*g, 6*o + 5101*g - 4956*g = 1909 for o. 4 Solve -6*w + 99 = -3881*h + 3880*h, 45 = h + 3*w for h. -3 Solve -17534479*i + 17534475*i + 139 = -3*o, o + 4*i = 119 for o. -5 Solve -30 = -7*r - 4*g + 12 + 20, 0 = 18*r + 3*r - 4*g - 218 for r. 10 Solve 3*p = o - o + 9, -2*o - p - 208 = -427 + 206 for o. 5 Solve -1529*v + 1533*v = -2 + 6, 0 = -i - 2*v + 10 for i. 8 Solve 2*i = -21*u - 40, -i = 3*u - 15 + 20 for u. -2 Solve -3*s + 11*n + 8*n - 263 = 0, 3*s + 43*n - 15 = 2*s + 42*n for s. 1 Solve -2600*a + 4*r = -2596*a - 20, 0 = 4*a + 5*r - 47 for a. 8 Solve -4*l - 12*s = -24, 21*s - 19*s - 1 = -0*l - l - 0*l for l. -9 Solve -2*v + 9 = -a, 845 - 854 = -4*v - a for v. 3 Solve 0 = 5*i - 38*m + 34*m - 7, i + 2*i + 3*m = -0*m + 15 for i. 3 Solve -q - w + 10 = -6*q + 3*w, -40*q + 4*w - 7701 = -7621 for q. -2 Solve 146 = 21*o - 35*a + 30*a, -2*o - 4*a - 145 = -47 for o. 1 Solve 11649*g + o + 45 = 11652*g, 5*g - 95 = -0*g - 5*o for g. 16 Solve 1511*r - 6 = 750*r + 759*r, -t - 2*r + 3 = 0 for t. -3 Solve -k = 81*z + 119, 4*z - 775 = 2*k - 703 for z. -1 Solve 4*y - 52 = -2*b, 52*b = 5*y - 472 + 189 for y. 15 Solve 0 = -3*l + 2*p - 102, -5*l - 2*p - 22846 + 22948 = 0 for l. 0 Solve -4*f + 0*m + 4*m + 59 = 3 - 20, m - 1207 = -46*f - 474 for f. 16 Solve 4*s = -5*c + 13, c + 38 = 155954*s - 155949*s for c. -3 Solve -43*l + 3*q - 223 = 0, -2*q = -3*l + 11 - 53 - 4 for l. -4 Solve -4928*f - 7*j + 68 = -4923*f - 19, 5*j = -8*f + 4*j + 78 for f. 9 Solve -1185*z - 34 = -1181*z - s - 109, s = -3*z + 51 for z. 18 Solve -96*i + 51*i + 63*i = -3*d - 60, -3*i - 6 = 0 for d. -8 Solve -4*k + 14*q - 4 = 0, -5*q + 4828 = -k + 4830 for k. -8 Solve 14*z - p - 4150 + 4200 = 5*z, 5*z = -2*p + 31 for z. -3 Solve -3*w + 48 + 1 = -4*p, -563 = -28*w - 3*p + 8*p - 138 for w. 15 Solve 481*p + 3*k + 51 = 495*p, 2*p + k = 3 for p. 3 Solve -1101*w + 1102*w - 7*l = -2*l - 15, -20*w - 7*l - 407 = 0 for w. -20 Solve 2*u + 8913*x - 12 = 8915*x, -5*u = -42*x - 178 for u. 2 Solve -5*g - h + 5*h = 53, -5*h - 73 + 32 = 3*g + 13 for g. -13 Solve 63*r = 16*r - 2*a - 419, -4*r - 10 - 32 = -3*a for r. -9 Solve 882*t - 878*t = 8*f - 12, 0 = 12*f - t - 43 for f. 4 Solve 2*z - 31*r - 319 = -z, -388*z + 5*r + 59 = -385*z for z. 3 Solve -2*x + 14 = -x - 3*b, -x - 106*b + 22 = -105*b + 16 for x. 8 Solve 0 = 2*f, 367*f + 19 = -3*r + 407*f + 4 for r. -5 Solve x + 12*d - 6 = 10*d, 2*x - 7*d + 0 = -3*d + 4 for x. 4 Solve -3*x - 5*t = -34, 4*x + 88*t = 93*t + 92 for x. 18 Solve -3*y - 83 - 53 = 2*i, 5*y + 200 = 10*i - 8*i for y. -42 Solve -151*k + 156*k = -23*d - 337, 5*d - 41 = 3*k - 102 for d. -14 Solve -5*i + 4*b = -8*i - 47, 263 - 1372 = 85*i + 2*b for i. -13 Solve x + 2*u - 2 + 20 + 0 = 0, 14 = -2*x - 2*u for x. 4 Solve b + 2*p = -1, 3*b = 139933*p - 139935*p + 9 for b. 5 Solve i - i = -3*i, 7*l + 69*i - 67*i = 2*l + 30 for l. 6 Solve 139*x - 144*x = -3*l + 7, -4*l + 27*x = 11 for l. 4 Solve -3*j = 4*w - 13, 4*w + 42 = -97*j + 99*j for j. 11 Solve 2*g - 13*d + 26 = -39, 9 = -8*g + 4*d - 11 for g. 0 Solve 3*s - 26 = 2*c + s, 2*c - 3*s + 4*s - 40*s = 2*c - 117 for c. -10 Solve 0 = 406*y - 412*y + 171*q - 170*q + 4, 3*q = -3*y - 12 for y. 0 Solve 3*j = 5*u + 53, -332*j + 334*j + u = -8 for j. 1 Solve 74 = 4*n - 9*n + 23*t - 39 + 27, 0 = -6*t + 4 + 8 for n. -8 Solve 0 = -59*q + 55*q - 2*s + 58, -8*q = -3*s + 93 + 50 for q. -4 Solve 53*q + 109*q - 160*q + 17 = -x, 23 = -x - 4*q for x. -11 Solve -6*w - w - 18 = -6*w + 5*g, 5*g = 2*w - 24 for w. 2 Solve -2*a = 10, 53*x + 0*a + a = 51*x + 5*a + 18 for x. -1 Solve g - n + 2 = 0, 12*g - 7*g - 2*n = 35*n + 174 - 120 for g. -4 Solve 0 = -3*w - 32*l - 99, 5*w + 23*l - 24*l = -191 + 189 for w. -1 Solve -2*x + 604589 = -z + 604610, -3*z = 2*x - 47 for x. -2 Solve -2*p + 17 = j, 55961*j - 2*p - 3*p = 55957*j + 1 - 50 for j. -1 Solve 8450*o = 4*y + 8459*o - 12, -2*y + 5 = 3*o - 1 for y. 3 Solve 5*l = -55, -7*t - 59 = -4*t - 7*t -
{ "pile_set_name": "DM Mathematics" }
- 5 + 5 - 2*w to the form s*w + r and give r. -2 Express -i**2 + 83 - 33 - i**2 in the form o*i**2 + z*i + f and give o. -2 Express (-8*u - 11*u + 3*u)*(6 - 2 - 2)*(5 - 1 - 3) in the form s*u + j and give s. -32 Rearrange -d**4 + 5*d**3 + 4*d + 3*d**3 - 7*d**3 + d**2 to the form l*d + z + g*d**3 + n*d**4 + f*d**2 and give g. 1 Rearrange -4*m + 3*m - 2*m to d + k*m and give k. -3 Express 16 - 40*d**2 + 2*d**3 + 40*d**2 in the form w + h*d + l*d**2 + p*d**3 and give w. 16 Rearrange 12*s - s**3 - 3*s**2 + 2*s**2 - 9*s to the form g + v*s**2 + k*s + o*s**3 and give k. 3 Express m**2 + 3*m**2 - m**2 - 2 in the form w*m**2 + i + y*m and give i. -2 Express -2 + 47*m**2 + 47*m**2 - 97*m**2 + 40 as j*m + l*m**2 + w and give w. 38 Express 1 - 5 + 4 - s in the form q + z*s and give z. -1 Rearrange -10 + 6 + 35*z + 4 to the form n + p*z and give p. 35 Rearrange -12*j**2 + 1 + 7*j**2 - 1 to the form s*j**2 + d*j + g and give s. -5 Rearrange (0*k**2 + k**2 + k**2)*(-2*k - 1 + 1) + k**3 + 0*k**3 - 2*k**3 + 283*k**3 + 510*k**3 - 259*k**3 to the form j + y*k + f*k**3 + s*k**2 and give f. 529 Rearrange -9*j - 2*j**4 - j**2 + 1 + 11*j + 3*j**2 - j**3 to the form f*j**3 + z*j**4 + h + p*j**2 + g*j and give f. -1 Express (-10 - 2 + 39)*(0*s + 0*s + s) in the form w + b*s and give b. 27 Express -48*i**3 - 2*i + i - 44*i**3 + 60*i**3 as r*i**2 + w + s*i**3 + h*i and give h. -1 Rearrange -2 - 2*n + 2 + 5*n to the form q*n + r and give r. 0 Rearrange 1412*f - 1414*f + 26 + 2 to w*f + c and give w. -2 Express -2*b**3 + 11*b**4 + 2*b**2 - 9*b**4 + 5*b**4 - 1 in the form t + z*b**4 + l*b + a*b**2 + m*b**3 and give m. -2 Express -61*z + 23*z + 31*z as b*z + m and give b. -7 Rearrange (-2 + 2 - 2)*(-k + k - k) - k - 11*k - 45*k to the form h + s*k and give s. -55 Express (-4 + 1 + 0)*(-9 + 9 + 11*s)*(1 - 3 + 1) in the form d*s + t and give d. 33 Express -6*q - 5*q - 20*q in the form w*q + c and give w. -31 Express (i + 2 - 2*i + 4*i)*(2*i - 7*i + 3*i)*(-64*i + 28*i**2 + 64*i) as p*i + r*i**3 + d*i**4 + g*i**2 + b and give d. -168 Express 1 + 2971*c + 3*c**3 - 2971*c + c**2 in the form q*c**3 + y + s*c + i*c**2 and give i. 1 Rearrange (3*a**2 - 4*a**2 - a**2)*(-147*a - 206*a**2 + 147*a - 190*a**2) to the form d*a + m*a**4 + n + h*a**3 + q*a**2 and give m. 792 Rearrange (0*w + 13*w - 30*w)*(-4*w**2 - 2*w**2 + 4*w**2) + 0*w**2 + 0*w**3 + 2*w**2 - 2*w**3 to the form h*w**3 + s + g*w**2 + p*w and give s. 0 Express 2 + 17*k**3 + 19*k**2 + 0*k**2 - 16*k**3 in the form r + n*k**2 + c*k + q*k**3 and give r. 2 Rearrange 17 - 7*f - 46 - 2*f**2 + 21 to the form n + d*f**2 + a*f and give n. -8 Express 24*f - 2*f**2 + 3*f**2 - 24*f - f**3 as v*f + d*f**3 + x + b*f**2 and give b. 1 Rearrange 0*v**2 + 0*v**3 - 9*v**2 - v**2 + 2*v**3 to the form y*v**2 + r + m*v**3 + j*v and give m. 2 Rearrange -14*g**2 + 3*g**2 - g**2 to u*g + b + o*g**2 and give o. -12 Rearrange (2*m + m - 2*m + (-1 + 3 - 5)*(2 - 2 + m))*(3*m + 2*m**2 + 0*m**2 - m**2) to the form q + l*m**2 + u*m**3 + b*m and give u. -2 Rearrange 38*u + 32*u - 2 + 4 - 68*u to p*u + m and give p. 2 Express q**3 - 13 + 6 + q + 2*q**4 - q**3 as g*q**3 + j*q + h + l*q**4 + c*q**2 and give c. 0 Rearrange 7 - 2*n**3 + 2 - 2 - n**4 - n**2 to z + v*n**4 + g*n**3 + i*n**2 + l*n and give i. -1 Express (2*n - 1 + 1)*(-1 - 2 - 2) + 2*n + 0*n + 0*n as q + i*n and give i. -8 Rearrange 13*w**2 + w**4 + 2*w - 16*w**2 + w**4 to the form i*w + a + c*w**2 + g*w**3 + b*w**4 and give b. 2 Express -6 + 2 - j + 5*j**2 - 11*j**2 as p*j + g*j**2 + u and give g. -6 Rearrange -5*l + 3 + 3 - 4 - 5 to z*l + c and give z. -5 Rearrange 10*h + 6*h - 15*h + 7*h to the form q + c*h and give c. 8 Express (9 + 15 + t - 11)*(-5*t + 5*t + t**2) as n*t**2 + q*t + h + c*t**3 and give n. 13 Rearrange (d**3 + 2*d**3 + 2*d**3)*(3 - 4 - 1 + (-2 + 0 + 4)*(2 + 1 - 1)) to p*d**2 + o + g*d + i*d**3 and give i. 10 Rearrange (36 - 30*l**2 - 36)*(-2 + 2*l + 2) to the form h*l**3 + d*l + j*l**2 + i and give h. -60 Express 3*i - 4*i - 2*i + 5 + i as t + l*i and give l. -2 Rearrange 168*i - 23*i**2 - 168*i to the form h*i**2 + z*i + q and give h. -23 Express -4*s**2 + 5*s**2 - 2*s**4 - 4*s**2 + 0*s**2 + 2*s**3 in the form z + r*s + b*s**3 + m*s**4 + q*s**2 and give z. 0 Express j**2 - 27 + 24 + 2 + j**2 in the form q + m*j + p*j**2 and give q. -1 Rearrange -3*o**4 - 3*o + 21*o**2 + 16*o**2 - 38*o**2 + 3 - 2*o**3 to the form a*o**3 + j + n*o + c*o**2 + m*o**4 and give j. 3 Express -60 - 41 - 2*d**3 + 8 in the form j + g*d + b*d**2 + p*d**3 and give g. 0 Rearrange y**2 + 6*y + 2 + 0 + 3*y**4 - 3*y - 3 to the form v + h*y + z*y**2 + p*y**3 + g*y**4 and give z. 1 Rearrange (b + 3*b + 0*b)*(0 + 3 - 1) + 6*b - 4*b + 6*b to the form k*b + h and give k. 16 Express -2*t**4 + t**3 + 15*t + t**4 - 2 - 17*t as u*t**2 + k*t**4 + f + l*t + w*t**3 and give k. -1 Rearrange -25*y**3 - y + 25*y**3 + 5*y**4 + (2*y - 2*y**3 - 2*y)*(2*y - 4*y + 4*y) + 1 - 1 + 2*y**4 to j*y**4 + i*y**2 + k*y**3 + s*y + h and give j. 3 Express (5 - 6 - 16)*(d + 3*d - 3*d + 3*d - d - 3*d + 2*d + 0 + 0 + (0 - 3 + 2)*(d - 2*d + 2*d) + 3*d + d - 2*d) in the form m + r*d and give r. -51 Express (-3*g - g + 2*g)*(-g - g + 3*g) - g**2 - 2*g**2 + 0*g**2 + 0*g**2 - 4*g**2 + 3*g**2 + (6*g + 2 - 2)*(-1 - g + 1) as v*g**2 + n*g + s and give v. -12 Rearrange n + 152 - 152 to s + p*n and give p. 1 Rearrange 3*w**3 + w**2 + 2*w**3 - 4*w**3 to f*w + q*w**3 + v*w**2 + y and give q. 1 Express ((41 - 41 - 2*l**2)*(4 - 2 + 0) + (-4 - 5*l + 4)*(-3*l + l + 0*l))*(2*l + 2*l - 3*l) in the form g*l**2 + x*l**3 + u + p*l and give x. 6 Rearrange -n**2 - n**2 + 0*n - 27*n - 18*n to the form z*n**2 + q + a*n and give z. -2 Rearrange (4*k + 4*k - 6*k)*(-7*k**2 - 8*k**2 - 7*k**2) to o + r*k**2 + b*k + x*k**3 and give x. -44 Rearrange (-4 - 10*d + 4)*(0 + 1 - 2) + (-2 - 2 + 2)*(3*d - 4*d - 2*d) to x*d + r and give x. 16 Rearrange r**2 + 11*r**2 + 8*r**2 - 6*r**2 to the form z + x*r**2 + l*r and give x. 14 Rearrange (-4*l + 2*l - 3 + 3*l)*(3*l + 2*l - 4*l) - 5 + 5 - 10*l**2 to the form z*l + y*l**2 + k and give z. -3 Express -t + 5 + t + t as r + n*t and give n. 1 Express 5*l - 4*l - 459*l**2 + 460*l**2 - 9 + (0 + 4 - 3)*(l**2 + l**2 - l**2) + 3*l**2 + 2*l**2 - 4*l**2 in the form t*l**2 + k*l + r and give k. 1 Rearrange 2*o**3 - 2*o - 6 + o**2 - 4 + 8 to the form i*o**2 + p*o + j*o**3 + r and give r. -2 Express 14*d - d**4 + 15*d**3 - 15*d**3 + 2 in the form w + a*d**2 + k*d**4 + y*d + v*d**3 and give y. 14 Express 2*l**3 - 2*l - 2 + 5 - 6 as b*l**3 + j + v*l + d*l**2 and give j. -3 Rearrange (-4*f + 5*f - 4*f)*(-1 - 5*f**2 + 18*f**2 - 11*f**2 + 22*f) to r*f + b*f**2 + i + v*f**3 and give b. -66 Rearrange (3*w + w + w)*(w - w - w + (-w + 1 - 1)*(2 - 2 + 2) - 2*w + 0*w + 0*w + 1 + 3*w - 1 + 2*w + w - 4*w) to j + s*w + y*w**2 and give j. 0 Express (-4 + 4 - 2*y)*(1 - 3 - 2) - 31*y - 21*y + 15*y as r*y + h and give r. -29 Rearrange (-5*i + 0*i + 0*i)*(-2*i**3 + 6*i - 6*i) to the form d*i**2 + t*i + h*i**4 + f + c*i**3 and give h. 10 Rearrange -80 - 23*t + t**3 + 80 to h*t**2 + b*t**3 + x + c*t and give b. 1 Rearrange -6 + 2 + 2 - 50*y + 39*y to the form c*y + q and give q. -2 Rearrange (0*t + 0*t - t**2)*(1 - 1 + t) + 4*t - 2*t**3 - 4*t + (6*t - 7*t - t)*(4 + 0*t**2 + 2*t**2 + 0*t**2) to the form k*t + l + x*t**3 + y*t**2 and give x. -7 Rearrange 0*f**3 - f**4 + 0*f**3 + (-3*f**2 - 1 + 1)*(-2*f**2 - 13*f**2 + 43*f**2) to the form x + m*f**3 + q*f**2 + b*f + v*f**4 and give x. 0 Rearrange (2 - p**2 - 2)*(0 - 14 + 3)*(1 - 1 + 7) to the form z*p**2 + x + i*p and give z. 77 Rearrange u + 112 + 109 - 221 - 31*u**2 to m + z*u**2 + l*u and give l. 1 Rearrange -4*f**2 + 19*f - 20*f + f**3 - 2*f**4 + 2*f**2 to v*f**4 + p*f**2 + i*f + y*f**3 + d and give v. -2 Rearrange 11*h + 22*h - 4*h to the form a + k*h and give k. 29 Rearrange (997*b - 995*b - 7 - 3)*(25 - 3*b - 25) to y*b + o + k*b**2 and give y. 30 Rearrange -w**2 + 6*w**3 + 5*w**3 - 5*w - 6*w**3 - 3*w**3 to the form t*w**3 + b*w + d*w**2 + i and give d. -1 Express (-14 + 4 + 1)*(5*r - r - 2*r) as g*r + m and give g. -18 Rearrange (5*n - n - 3*n)*(-4*n - n + 2*n) + (2 - 1 - 5)*(2*n**2 + 0*n**2 + 0*n**2) to v*n + m*n**2 + t and give m. -11 Express 2*z**2 + 2*z + 2 + 0*z**2 - z**2 + z**2 + 2*z**3 as b*z + n*z**3 +
{ "pile_set_name": "DM Mathematics" }
- 24*g**2 + 14*g - 109. Let b be c(16). Solve 4*p - 26 = -b for p. 3 Let s = -12 + 17. Let x be 6*(-3 + s) + 4*-1. Solve -x*t + 4*t = 0 for t. 0 Suppose 2*r + 10 = 0, -6*r - 18 = k - 0*r. Suppose -1 = y - 2*y + 3*b, 0 = 4*b - 4. Solve y*i - 4 = -k for i. -2 Let v = 30153 - 30126. Solve -v*b + 50*b + 69 = 0 for b. -3 Suppose -277*t - 2*h - 13 = -280*t, 4*t - 24 = -4*h. Let g(n) = -n + 9. Let a be g(5). Suppose a*v + i + 4*i = 8, 3*i = 3*v - 6. Solve -v*b + 3 = -t for b. 4 Let n be (-224)/(-5) - (-37)/185. Solve n - 21 = 8*k for k. 3 Let i = 652 - 941. Let u = -287 - i. Solve 3*f - u*f = -3 for f. -3 Suppose 0*q = -4*q - 5*x - 5, 0 = -3*q + 5*x + 5. Let c = 0 - q. Let y = -27602 - -27605. Solve -y*o + o + 4 = c for o. 2 Suppose -4*m = 4*k - 280, -9*m + 10*m - 2*k = 55. Solve 141*q - 128*q + m = 0 for q. -5 Suppose 63*s = -i + 68*s + 43, 0 = 4*i + 2*s - 84. Let y(h) = 5*h**2 + 2*h - 2. Let b be y(2). Suppose i*l - 5 = b*l. Solve -l*z + 13 = -2 for z. 3 Let i be 4 - (7 - 1) - (-1 - -8). Let c be i/((9/4)/((-69)/46)). Solve -9*y = -11*y + c for y. 3 Suppose 2*t = -2*l - 6, -8*t + 13*t + 3*l + 5 = 0. Let c = 11 + -7. Solve -t*a = 8 - c for a. -2 Let q be (-171 - 14)/(9 + -10). Solve -181*s + q*s = 0 for s. 0 Let j be 7 + (81 - (3 + -10)). Suppose 5*g + j = 5*h, -58 + 37 = -h - g. Solve -2*u + h = 3*u for u. 4 Let g be (7/2)/(6/(-48)*4). Let b be g/(-42) - (-51)/18. Suppose v - 3*v = b*v. Solve -2*f - 2*f + 4 = v for f. 1 Let k(j) = -j + 15. Let t be k(9). Suppose -t*n + 11 = -7. Suppose -5*z = -19 - 1. Solve -n = -z*c + 13 for c. 4 Suppose 3*w + 17 = -4*g, 4*w - 1 = 3*g + 18. Let u(o) = 10*o**2 + 3. Let k be u(w). Solve k*i - 1 = 14*i for i. -1 Let l(y) = -y - 2. Let k be l(-4). Let q(p) = 2*p**2 - 4*p + 3. Let b be q(k). Let s = -234 + 240. Solve b*z + s = z for z. -3 Suppose 5070 = 5550*d - 5524*d. Solve -d = -49*u - 538 for u. -7 Let h(i) = 3*i + 10. Let k = 74 - 72. Suppose -2*n = -2 - 2, 0 = k*u + 2*n. Let t be h(u). Solve a = -8 + t for a. -4 Let p(s) = s + 12. Let j be p(-9). Suppose -3 + 18 = j*h. Let i(k) = 4*k - 14. Let z be i(h). Solve -3*n - 3 = -z for n. 1 Let z(w) = -94*w - 62. Let f be z(6). Let y = 644 + f. Solve 4*o + 30 - y = 0 for o. -3 Let x be (-126)/(-27) + 8/(-3). Let i(c) = -4*c + 6. Let o(l) = -l**2 - l - 1. Let f(a) = -i(a) - o(a). Let h be f(-6). Solve m - h = x*m for m. -1 Let h be (-1 + -7)*(2 - 3). Let i = -7845 + 7880. Solve h*u + i = -5 for u. -5 Suppose -4*z + 119*z + 12*z = 0. Solve 0 = -z*h + h - 3 for h. 3 Let q(r) = -r**3 - 10*r**2 - 4*r - 13. Let y be q(-10). Suppose -5*g - 4*z - 48 = -181, -g + y = z. Solve -g + 29 = h for h. 4 Suppose -2*u = -2*t + 56, -76 = -3*t - 2*u - 17. Let n = -9730 + 9755. Solve -n*m = -t*m for m. 0 Let z(b) = b**3 - 7*b**2 - 6*b. Let x be z(8). Let i be ((-10)/(-4) - 1)*x/(-12). Let m be i*(-30)/24 - (-2)/4. Solve -m - 5 = -4*t for t. 2 Let f be ((-20)/(-14))/((-2)/14). Let w be ((-5)/(-1))/((f/25)/(-2)). Solve w = 4*z + z for z. 5 Let k be (20 - 72/9) + 217. Solve 73*u - 209 - k = 0 for u. 6 Let z(v) be the first derivative of -v**4/4 - 9*v**3 - 26*v**2 - 46*v - 101. Let a be z(-25). Solve a*w = -0*w for w. 0 Suppose 0 = -10*q + 12*q. Suppose -c + q*s = -3*s + 6, -c + 4*s = 8. Suppose 0 = -c*v + 5*v - 10. Solve 2*d - v = 3*d for d. -2 Let v be (1 - (-46)/(-10))/((-3)/10). Let c be (-6)/5*-7 + v/20. Let b(z) = -z**2 + 12*z - 20. Let l be b(c). Solve l = -t + 2 for t. -5 Let u(v) = -v**3 + 5*v**2 - 7*v + 7. Let a = 834 - 831. Let p be u(a). Let d be (2/3)/(4/42). Solve p = d*y - 6*y for y. 4 Let v(s) = -s**3 + 55*s**2 + 437*s - 184. Let l be v(62). Solve 114*w - l = 116*w for w. -1 Suppose 4*f = -2*q - 2*q + 12, -1 = f + 2*q. Suppose 5*v - f = -2*l, -2*l + 6*l = -5*v - 1. Solve -v*z + 0 = -15 for z. 5 Let u(j) = -126*j + 66*j + 62*j + 3. Let b = 10 + -9. Let d be u(b). Solve -2*q = -q - d for q. 5 Let v(r) = r**2 - 32*r - 747. Let b be v(-16). Solve -b - 83 = 26*g for g. -4 Let u(v) = -v**2 - 26*v + 93. Let r be u(3). Suppose -27 + r = -3*g. Solve 17*i - 10 = g*i for i. 1 Let n = 18 - -75. Suppose -q = -2*i + n, 6*q = 4*q - 2*i - 156. Let d = q - -89. Solve 3*y = d*y - 3 for y. 1 Suppose 14*a - 560 - 560 = 0. Suppose a = 4*f - 4*w, 0 = -2*w - 2*w - 4. Solve f - 15 = 2*r for r. 2 Let i(d) = 150*d + 604. Let w be i(-4). Solve 1273*o - 1269*o - w = 0 for o. 1 Let u be (-1)/((7/(-3))/7) - -32. Suppose -u*y + 12*y + 184 = 0. Solve -2*c - y = 2 for c. -5 Let d = 4670 - 4633. Solve -12*k - 85 = -d for k. -4 Let h = -126 + 133. Suppose -h*q + 17*q = 50. Let a = 11 - 1. Solve 0 = 5*m + a + q for m. -3 Suppose -3*n - 5*f - 3 - 3 = 0, 0 = 4*n + 3*f - 3. Let x = n + 11. Solve 0 = 3*z + x - 8 for z. -2 Let g be (-12)/(-10)*10/(-3). Let s = 16 + g. Let c(j) = 391*j - 31668. Let a be c(81). Solve -y + s = a*y for y. 3 Let q(r) = 4*r + 29. Let n be q(-6). Suppose -4*m - 9 = -n*m + p, 12 = 2*m - 4*p. Suppose -3*b - m = -6*b. Solve t = -b*t + 10 for t. 2 Let o(l) = -178*l**3 - l**2 + 4*l + 4. Let v be o(-1). Solve -4*w + 181 = v for w. 1 Let t be (-1)/3 - 136/24. Let b = t + 8. Suppose 3*f = -35 + 53. Solve b*q + f = 12 for q. 3 Let f(u) = u + 33. Let j be f(10). Let w(h) = -j*h + h**3 - 7 - 8*h**2 - 8 + 25*h. Let n be w(10). Solve 17 + 3 = n*y for y. 4 Suppose -40 = -3*i - 3*v + 4*v, -3*i - 3*v + 36 = 0. Solve i*z + 68 = 3 for z. -5 Suppose 0 = 3*i - 3*x - 9, 0 = -2*i - 3*i - 2*x + 36. Let v(b) = b**3 - 6*b**2 + 2*b - 6. Let s be v(i). Let z be (28/48 - (-1)/s)*4. Solve -z = r - 2*r for r. 3 Let b = 97 - 88. Suppose -72 = -15*p - b*p. Solve 0 = -5*d - p + 28 for d. 5 Let w(f) = 10*f - 13. Suppose 8 = 4*l - b - 9, -3*b = 2*l + 9. Let t be w(l). Solve -t = 3*y - 5 for y. -4 Let q(c) = c**3 + 5*c**2 - 20*c - 21. Let v be q(-7). Let d be (-3)/(v/4)*35/(-10). Solve 0 = -d*u + 6*u for u. 0 Suppose 4*a + 15 = 7. Let t be 126/54 + a/(-6)*-1. Solve t = -2*o - 0*o for o. -1 Let z be (-135)/(-6)*45/27 - 16/32. Solve -36*i = 253 - z for i. -6 Suppose -12*u = -2452 - 608. Solve 0 = -42*a - u + 45 for a. -5 Let u be 5*1156/595*(-14)/(-2). Solve 48*v + 356 = u for v. -6 Let t be 2/(-6) - (-6)/(162/9). Solve -924*q + 920*q = t for q. 0 Suppose -4*y + 125 = 3*a, 2*a = -3*y - 0*y + 94. Solve -6*v = y - 8 for v. -4 Suppose 25 = -5*f, -3*j = -j - 3*f - 55. Solve -20 = j*l + 100 for l. -6 Let a(g) = g + 37. Let y be a(-13). Suppose y*o = 162 + 126. Solve o = k + 3*k for k. 3 Let z be 16/6*((-2)/(-13) + (-51362)/(-6344)). Solve -13*s + z - 74 = 0 for s. -4 Suppose 18*y = 5*z + 20*y - 582, -5*z + 3*y = -552. Solve 0 = -z*x + 100*x + 84 for x. 6 Suppose 0*r = 7*r + 244 - 419. Solve -r*c - 96 = -37*c for c. 8 Let o = -3741 + 3741. Solve 78*h - 56*h + 66 = o for h. -3 Let r = 53 + -27. Suppose 5*g + r + 3 = 4*b, 5*g + 5*b = -65. Let q be (-30)/g - (0 + (-12)/(-9)). Solve h = -q*h for h. 0 Let i(r) = r**2 - 2*r - 10. Let s be i(5). Suppose -s*c + 13*c = 32. Let l be (-1)/c - (-6)/24. Solve t = 4 - l for t. 4 Suppose 0 = -2*n + 5*i + 49, n + 2*n + 3*i - 21 = 0. Let b be 148/20 - (-10)/(-4)*(-8)/(-50). Solve 4*x = b*x + n for x. -4 Suppose 3*c = -0*q + 2*q - 244, c = 4. Let x be q/13 - 20/(-130). Solve 9*j = x*j for j. 0 Let d(l) = -6*l + 0*l + 5*l + 2 + 6. Let r(u) = u**3 - u**2 + 6. Let g be r(0). Let t be d(g). Solve 0 = -2*o - t for o. -1 Suppose 18*a - 19*a = -6. Suppose 20 + 8 = 4*o. Suppose a*d + 2 = o*d. Solve -d*p - p = -15 for p. 5 Suppose -57 = 3*d - 72. Suppose -t = -2*h - h + 15, -5*t + h = d. Solve 0*x + 8*x - 32 = t for x. 4 Suppose -13 = 2*c + 745. Let j = 388 + c. Solve -1 = 2*a - j for a. 4 Let w be (342/12)/((-12)/8 - -3). Solve -64 = -35*a + w*a for a. 4 Let w = -86 + 88. Let b(t) = -t**2 + 9*t - 8. Let u be b(8). Suppose u = s - 2. Solve -s*k + w = -4 for k. 3 Let b be 24*16/(-32) - -20. Solve 862 = -b*d + 870 for d. 1 Let p(w) = 6*w**2 + 7*w - 31. Let k be p(-4). Solve -55*t + 18*t = k for t. -1 Suppose 2*q + 4 = -4*d - 2, 17 = q - 3*d. Solve -q = -7*y + 16 for y. 3 Let x be (-676)/6 - (6 + (-60)/9). Let m = -110 - x. Solve -m*q - 2*q = -16 for q. 4 Let y be 1 + (2/5 - 152/(-20)). Suppose -y*z = -267 - 30. Let h be (z/22)/(1 + (-2)/8). Solve -v = h*v for v. 0 Suppose 18*j - 384 = 2*j. Suppose -57*p - j = -65*p. Solve -f = p*f for f. 0 Let b be -4 + ((-16)/20 - (-170)/25). Solve 0 = -b*s - 14*s - 5*s for
{ "pile_set_name": "DM Mathematics" }
- 1. Sort -5, g, -50 in increasing order. -50, -5, g Suppose -5*r = -16*r - 44. Suppose 2*t = -t - 9. Sort 0.3, t, 2/13, r in descending order. 0.3, 2/13, t, r Let x = 26/11 + -41/22. Let a be 2/102*(3 - 0). Let l = 25/153 + a. Put -7, x, l in increasing order. -7, l, x Let h = -1197 + 1199. Sort 7, h, 0, -7 in decreasing order. 7, h, 0, -7 Let n = 4 + -1. Suppose -z + n*s + 3 = -s, -4*s = 3*z - 9. Suppose z*d - 15 = -3*c + 2*d, -2*c + 5*d = -10. Put -4, c, -5 in descending order. c, -4, -5 Let z be -5 - 99/(-21) - 44/(-105). Put z, 1/18, 0.2 in decreasing order. 0.2, z, 1/18 Suppose 26*s - 6 = -84. Put 11, s, -5 in increasing order. -5, s, 11 Let m = -205 + 206. Put 2, m, 9, -3 in descending order. 9, 2, m, -3 Let c be (3/7)/(3/(42/2)). Sort 5, 2, -5, c. -5, 2, c, 5 Let y = -436 - -437. Put y, -1/4, -4, 6 in decreasing order. 6, y, -1/4, -4 Suppose -5*i - 89 = -3*p, 4*i + 5*p + 49 = -0*p. Let w be -10*5/(-40) + 12/i. Put w, -4, -2/7 in decreasing order. w, -2/7, -4 Let b = -0.12 + -6.88. Let t = 9 + b. Let o be 1/((-1 + 0)/(-3)). Put t, o, 1 in ascending order. 1, t, o Let n(r) = r - 6. Let h be n(12). Suppose 3*f - 3 = h*f. Let j = -48 + 43. Put 13, f, j in increasing order. j, f, 13 Let v(s) = -s**3 + 7*s**2 + s - 9. Let c be v(7). Suppose a + 3*a - 22 = -5*r, -a = 5*r - 13. Let g be (-32 - -2)*(-2)/6. Put g, c, a in decreasing order. g, a, c Suppose w - 5*q - 6 = -22, -5*w = -q + 8. Let u(m) = 2*m - 25. Let z be u(13). Let t = -9 - -27. Sort t, z, w in decreasing order. t, z, w Let p = 0.025 - -31.975. Let f = p - 32. Let s = -0.7 + 0.4. Put s, f, -1/4 in ascending order. s, -1/4, f Suppose 0 = 3*o - 3 - 0. Suppose -5*a + 3*a = -10. Put -5, a, o in increasing order. -5, o, a Let k = -76 - -74. Let q = 12 - 12. Sort k, -5, q in increasing order. -5, k, q Let z be (-2)/(-90)*18/4. Sort z, 0.02, -4, -0.1. -4, -0.1, 0.02, z Let o(b) = b**2 + 2*b + 3. Suppose -2*p + u - 6*u = -5, u = 3. Let t be o(p). Let q be 8/(-36) - 50/t. Sort 1/5, q, 4 in increasing order. q, 1/5, 4 Let f = -0.53 + -3.47. Let h(m) = -m**2 - 7*m - 1. Let q(x) = -2*x + 4. Let n be q(5). Let p be h(n). Sort f, -0.06, p. f, -0.06, p Suppose 37*g + 26 = 62 + 112. Suppose -3*i = -0*i - 3. Sort i, -8, 2, g. -8, i, 2, g Let u = 8 - 4. Let s = 7010 - 7010.1. Sort u, s, -0.3, -5 in descending order. u, s, -0.3, -5 Let j = 213.6 + -214. Put j, -1/2, -1/10, 20 in descending order. 20, -1/10, j, -1/2 Let y = 21392/23 - 930. Sort 0, y, 3/8, 2. 0, y, 3/8, 2 Let p(o) = o**2 + 19*o + 48. Let l be p(-16). Let k = -1.6 - -10.6. Sort l, k, 0.2 in descending order. k, 0.2, l Suppose -19*r + 40 - 135 = 0. Suppose -4 = -q - 2*h, 2*q + 3*h + 1 = 2*h. Sort 1, r, q, 8 in descending order. 8, 1, q, r Let u(g) = g**2 - 6*g - 6. Let m be u(7). Let b be 39/12 - (6/(-8) - -1). Suppose 6*z - b + 15 = 0. Sort z, 3, m in decreasing order. 3, m, z Let j = -3 - -1. Let v = -43 - -42.95. Let w = -0.45 - v. Put j, w, 0.2 in descending order. 0.2, w, j Suppose 3*f = -o - 41 + 8, -3*o - 51 = -3*f. Let y be (-1 + 0)*o/3. Put 1/7, y, -4, -1/3 in increasing order. -4, -1/3, 1/7, y Let c = -239/354 - -30/59. Sort 1/5, 3/5, 0, c in decreasing order. 3/5, 1/5, 0, c Let i = 11.16 - 0.16. Let q = i - 6. Let w = 24 + -166/7. Put q, w, 0 in increasing order. 0, w, q Let x = -3377/2 - -1691. Put 2, x, -14 in ascending order. -14, 2, x Let o = -229 + 271. Sort -2, 4, o. -2, 4, o Let q = -12 - -11. Let o = -18 - -14. Sort o, q, 3, 5. o, q, 3, 5 Let u be (-3)/(-1) + 209/99 + -5. Sort u, -30, -3/13 in descending order. u, -3/13, -30 Let f = 3 + -2.5. Let j = 23 - 23.007. Let i = 0.193 - j. Put i, 0, f in ascending order. 0, i, f Let h = 8 + -7. Let p = -0.3 + h. Let o = p - 0.3. Put o, 2/3, 0.5 in descending order. 2/3, 0.5, o Let b = 0.3 - 3.5. Let c = b - -3. Sort -1, -2/3, 1/4, c in descending order. 1/4, c, -2/3, -1 Let d = -27.66 - 23.34. Sort 5/2, -0.08, d in increasing order. d, -0.08, 5/2 Suppose -q - 10 = -3*q. Let t be (-4 - -15 - 5) + -3. Suppose q*x + t*u = -0*x - 6, 5*x + 9 = -2*u. Sort -4, x, 10 in descending order. 10, x, -4 Let o be ((-53)/(-212))/((-2)/(-4)). Put 0.3, o, -34 in decreasing order. o, 0.3, -34 Let x = -251 - -250. Put -3/2, 2, 0, x in increasing order. -3/2, x, 0, 2 Let p = 290 - 292. Sort p, -0.04, 3/4, -12. -12, p, -0.04, 3/4 Let g = 17 + -10. Suppose -g*p + 3*p - 16 = 0. Let f(l) = l - 5. Let d be f(5). Put 4, p, d in descending order. 4, d, p Let z = 189 + -191. Sort z, 3.6, 0.2 in ascending order. z, 0.2, 3.6 Let v = 595 - 603. Sort 7, v, 1 in decreasing order. 7, 1, v Let g = 0.2926 + -197.3926. Let w = g + 197. Let a = 1 + 0. Put a, -1/3, w in decreasing order. a, w, -1/3 Let y = -14 + 22. Suppose -y = -2*v - 0. Suppose v*c = 4 - 8. Sort 2, c, 0. c, 0, 2 Let c = -52 + 40. Let f be (-6)/10*10/c. Sort 2, f, 1 in ascending order. f, 1, 2 Suppose 41 = -8*v - 7. Let p be (-8)/v*(-24)/16. Sort -3, p, -1, 1 in decreasing order. 1, -1, p, -3 Let b(l) = l**3 - 9*l**2 - 15*l - 6. Let u be b(11). Let h = u + -72. Sort -4, h, -2 in descending order. h, -2, -4 Suppose -4*c = -2*f - 28, f - 21 = -5*c + 14. Suppose 11 = o + c. Sort -2, 2, 1, o in ascending order. -2, 1, 2, o Suppose 0 = -101*i + 40*i + 122. Sort i, -30, 10 in descending order. 10, i, -30 Let m(g) = 2*g**2 + 5*g - 3. Let q be m(-3). Suppose -2 = 5*l - 3*z - q*z, -3*l + 4*z = -1. Let x be (5/(-3) - -1)*-6. Sort x, l, -5. -5, l, x Let h = -0.03 + 0.43. Let m be (-4654)/792 - 18/(-99). Let i = 21/4 + m. Sort h, 2/7, i in decreasing order. h, 2/7, i Let f(r) = 2*r**2 + 25*r - 16. Let d be f(-13). Suppose 4*i - 16 = 0, j + 6*i = i + 18. Sort j, -4, d, 3 in ascending order. -4, d, j, 3 Let s = 21.1 + -21. Let c be (-5 - -4)*(4 - (-3 + 3)). Put 0.4, c, s in ascending order. c, s, 0.4 Let q be -3 - (-2 - (-6)/(-1)). Let c = 0.16 + 0.04. Put -1/3, q, c in ascending order. -1/3, c, q Suppose 3*g + 3*d - 27 = -0*g, d = 4*g - 56. Let p = g - 9. Suppose -s + p*s = -9. Put -0.1, 2/3, s in ascending order. s, -0.1, 2/3 Let p = -8/21 + 38/63. Put -3/4, -5, p in increasing order. -5, -3/4, p Let d(k) = -2 - 4*k**2 - k**3 + 3*k**2 - 2*k**2 - 3*k + k**2. Let h be d(-2). Suppose -h*b = 21 + 7. Put b, 1, 0 in descending order. 1, 0, b Let s(f) = 7*f - 17. Let r be s(11). Let v be 1/4 - (-5)/r. Put 0.5, 5/3, v in decreasing order. 5/3, 0.5, v Suppose r = -3*d + 6 + 7, 5 = -r. Put d, 8, -2 in decreasing order. 8, d, -2 Suppose -10 = -0*d - 3*d + i, -i - 12 = -4*d. Let h be 2/(-7) - 23/(-7). Let s be (-21735)/4320 + (-2)/(-64). Sort s, d, h. s, d, h Let b(p) = -15*p + 207. Let u be b(14). Put 1, u, 67, -1 in ascending order. u, -1, 1, 67 Let w(f) = f**3 - 4*f**2 + 4*f. Let g be w(3). Let m = -5 + 8. Suppose m*c + 22 = 2*y, 4 = -3*c + c. Sort y, g, -3 in descending order. y, g, -3 Let v be 2 - (-5 + 2 + 7). Let c(h) = -2*h + 1. Let b be c(3). Sort b, v, 1 in descending order. 1, v, b Let s = 1.361 + -1.371. Sort 0.01, -2/11, -3, s in decreasing order. 0.01, s, -2/11, -3 Let w = -0.089 - 0.421. Let l = w - -0.3. Let m = l + 0.51. Sort 0, -0.6, m in decreasing order. m, 0, -0.6 Suppose 48 = 11*b - 15*b. Let u be (b/(-15))/((-2)/160). Let k = 383/6 + u. Sort 1, 0.5, k in descending order. 1, 0.5, k Let d = 19 + -17. Let s = 28.8 - 29. Put d, s, -2, 3 in ascending order. -2, s, d, 3 Let w be -1 + (-2 - -19 - -2) + 3. Suppose 0 = 9*c - 6 - w. Let b = -10 - -5. Put c, 1, b in decreasing order. c, 1, b Suppose -200 = -11*u - 178. Suppose 11 + 4 = -5*g. Put -11, u, -1, g in decreasing order. u, -1, g, -11 Let u be (-9 - 0)*(-8)/(-8) + 4. Let w(x) = x**3 + 6*x**2 - 2*x - 11. Let p be w(-6). Let y be -2 + 1 - 8/(-10). Put y, u, p in descending order. p, y, u Let t = 33.375 - 33. Let q = -0.025 - t. Let v = -4 - -2. Put v, q, 0.1 in ascending order. v, q, 0.1 Suppose -2*d = -5*d + 3. Let b be ((2 - d)*-2)/(-1). Suppose b*j + 3*p - 15 = 0, -p + 4 = -4*j - 1. Sort -2, -4, j in decreasing order. j, -2, -4 Let k = -1 - -1. Suppose -11*y - 33 - 44 = 0. Let g be 1 + 12/(-4 - y). Put k, g, -5 in ascending order. -5, k, g Let c = 1050 + -1097. Sort 3, 1, c, 2. c, 1, 2, 3 Suppose 0 = 3*p + 2 - 17. Let l = 0.1 - -0.4. Put l, p, -5/3 in ascending order. -5/3, l, p Suppose -3*a = -4*a - 2. Let l be 0/5 - 1*-4. Let p(v) = -v + 5. Let s be p(l). Sort s, 5, a. a, s, 5 Let t = -53.2
{ "pile_set_name": "DM Mathematics" }
ify ((y**(-2/21)/y)/y**(-2/7))**(-27) assuming y is positive. y**(153/7) Simplify (n**(3/2))**(-36) assuming n is positive. n**(-54) Simplify ((s/s**(-5))/s)/(s/((s*s**(-4)*s*s)/s)*s)*s*s**(1/3)*s*s/((s/s**0)/s) assuming s is positive. s**(13/3) Simplify n**(-3)/(n/(n/(n/(n*n/n**(1/4))))) assuming n is positive. n**(-9/4) Simplify (w*w**32/w)**(-26/3) assuming w is positive. w**(-832/3) Simplify (n/(n*n*n/n**8*n))**(3/28) assuming n is positive. n**(15/28) Simplify g/(g*g*g**(2/5)*g*g)*g**(-1/6) assuming g is positive. g**(-107/30) Simplify (n/(n/n**2))**(-25/3) assuming n is positive. n**(-50/3) Simplify (f/(f*f**(1/7)))/f*f*(f*f**(-5))/f assuming f is positive. f**(-36/7) Simplify n*n/(((n*n**27*n*n)/n*n)/n)*n**(-28) assuming n is positive. n**(-55) Simplify v**(-3/7)/((v/v**3)/v)*(v*v**(2/11))/((v/(v*v*v**(-2/19)/v*v*v*v))/v) assuming v is positive. v**(11189/1463) Simplify ((g/(g**(-2/7)/g))/(g**(-4/15)*g))**33 assuming g is positive. g**(1793/35) Simplify (n*n**2/n)/n**(2/17)*((n**(-1/2)*n)/n)**6 assuming n is positive. n**(-19/17) Simplify (a**(-2/3)/(a/a**7))/((a*(a**(2/11)/a)/a)/a**(2/7)) assuming a is positive. a**(1487/231) Simplify (o*(o**(3/7)*o)/o*o)/o*o*o**(-18) assuming o is positive. o**(-109/7) Simplify (a*a/a**(-1/3)*a)/a**(-11)*(a**(-1/4))**(-42) assuming a is positive. a**(149/6) Simplify (o**(1/2))**(-36)*(o*o**(3/7))/(o*(o**5*o)/o) assuming o is positive. o**(-158/7) Simplify w*w*w**(-1/2)*w**(-3/4)/w*(w**(-2/7))**(-18) assuming w is positive. w**(137/28) Simplify (m**(-1/3))**(-13)/(m**(-1/6)*(m**(-3/5)/m)/m*m) assuming m is positive. m**(61/10) Simplify ((q/q**(-28))/q)**(1/5) assuming q is positive. q**(28/5) Simplify (z/(z**(-6/11)*z*z))**(-19) assuming z is positive. z**(95/11) Simplify (c*(c/c**(-1))/c)**(-16)/(c**(2/9)/(c*c/(c/(c/(c*c/((c*c/(((c*c**4/c)/c)/c))/c)))))) assuming c is positive. c**(-299/9) Simplify (b**(2/25)/b)/(((b**24/b)/b)/b) assuming b is positive. b**(-548/25) Simplify f/((f/f**(-8/7))/f)*f**(-2/5) assuming f is positive. f**(-19/35) Simplify o**(-2/35)/o*o/((o/o**(-1/11)*o)/o) assuming o is positive. o**(-442/385) Simplify i**(4/9)/i*i/(i/(i/i**(-4/9))*i)*i/(i*i*i**(3/8)*i)*(i*i/i**9)/i assuming i is positive. i**(-755/72) Simplify (w*w**(-27)*w)**(5/16) assuming w is positive. w**(-125/16) Simplify (n**(2/7)/(n*n**(-14)))**(-48) assuming n is positive. n**(-4464/7) Simplify (b**3*b)/((b/((b**(2/17)*b)/b))/b) assuming b is positive. b**(70/17) Simplify (u**(-2/9)/u)/u**(-1/12)*u/((u/(u/((u**5*u)/u)))/u)*u**(-2/17) assuming u is positive. u**(-2605/612) Simplify t**(-14)*(t/(t*t*t**(4/9)/t*t))/t assuming t is positive. t**(-148/9) Simplify (((p**(-1/7)*p)/p)/(p*(p/((p*p**(-1))/p)*p)/p))**(1/13) assuming p is positive. p**(-22/91) Simplify (z**(-9)*z**(1/15)/z)**(5/7) assuming z is positive. z**(-149/21) Simplify u**(-17)/(u/u**0) assuming u is positive. u**(-18) Simplify r**29*r**(5/7) assuming r is positive. r**(208/7) Simplify ((u**0)**28)**14 assuming u is positive. 1 Simplify (f**10*f)**(-2/7) assuming f is positive. f**(-22/7) Simplify ((r*(r/(((r*r**16/r)/r)/r))/r)/r)/r**21 assuming r is positive. r**(-35) Simplify (y**(-6)/y)/(y**7*y)*(y**(1/5)*y)**10 assuming y is positive. y**(-3) Simplify (v*v*(v/v**(-4/3))/v*v)**(-39) assuming v is positive. v**(-169) Simplify (z*z*z/z**1*z*z/z**(1/5))/(z**5/(z**3/z)) assuming z is positive. z**(4/5) Simplify (((v/(v*v**16*v))/v)/v)**(-1/11) assuming v is positive. v**(19/11) Simplify (g*g**(2/93)/g*g*g)**(-12/11) assuming g is positive. g**(-752/341) Simplify (q**(8/5)/q)**(3/11) assuming q is positive. q**(9/55) Simplify f**(-2/9)/(f*f/(f*f**(-6/5)))*f**(1/2)/(f*f**1) assuming f is positive. f**(-353/90) Simplify ((v*v**(-1/5))/v*v*v*v*v**(-8/5)/v*v)**(-47) assuming v is positive. v**(-282/5) Simplify (l**(6/11))**(29/4) assuming l is positive. l**(87/22) Simplify x**(-2)*x*x**(-2)*(x/(((x/(x**(-1/3)/x))/x)/x))**(-7/6) assuming x is positive. x**(-34/9) Simplify ((v*(v*v**22)/v*v)/v)/v*v**(4/3)*v*v assuming v is positive. v**(76/3) Simplify (s**4*s*s*s**0)**(1/6) assuming s is positive. s Simplify ((u/((u/((u/u**(-7))/u*u*u))/u)*u)**3)**(-16) assuming u is positive. u**(-528) Simplify o**(3/2)/((o**21/o)/o) assuming o is positive. o**(-35/2) Simplify (p**(-2/3))**(-1/21) assuming p is positive. p**(2/63) Simplify ((d/(d/d**(-2/5)))/d)/d**(-3/4) assuming d is positive. d**(-13/20) Simplify ((z**(5/3)/z)/(z*z*z**(-3)*z))/(z**1)**(-1/28) assuming z is positive. z**(59/84) Simplify (i**(-2)*i**(-11))**34 assuming i is positive. i**(-442) Simplify o**(-16)*o**(-34) assuming o is positive. o**(-50) Simplify ((f/(f**(1/17)/f))/f)/(f**(-2/29)*f) assuming f is positive. f**(5/493) Simplify b*b*b*b**(2/11)*(b*b/b**(-3/10)*b*b)/b*b*b**(-2/3)/b**0 assuming b is positive. b**(2249/330) Simplify u/((u*u**(10/9))/u)*u/(u/u**22) assuming u is positive. u**(197/9) Simplify (o*o**(-5)*o*o*o**(-1/5)/o)**(-8/3) assuming o is positive. o**(128/15) Simplify ((y/(y**(-2)/y))/((y/y**2)/y))/(y**(-2)/(y**(1/2)/y*y)) assuming y is positive. y**(17/2) Simplify (y/y**(2/31))/(y*y/(y/(y/(y**(22/9)*y))*y)) assuming y is positive. y**(943/279) Simplify ((m/(m**(-2/7)*m))/m)**(-3/20)*(m**(1/4))**(-1/51) assuming m is positive. m**(73/714) Simplify m**(13/6)*m**45 assuming m is positive. m**(283/6) Simplify (w**(4/11)*w*w**(-3/4)/w)/((w**(2/3)*w)/(w*w**(-6/7)/w)) assuming w is positive. w**(-2689/924) Simplify (o/(o/((o**8*o)/o)))/(o/o**(-4/7)) assuming o is positive. o**(45/7) Simplify (o*o**(-1/21))/(o/(o/o**(-1/7))) assuming o is positive. o**(23/21) Simplify (w*w*w*w*w/((w*w**(-1))/w)*w*w)**(-3)*(w**(2/3))**41 assuming w is positive. w**(10/3) Simplify (n*(n/(n/n**(2/13)))/n)/(n*n/(n**(-2/31)*n)*n*n) assuming n is positive. n**(-1173/403) Simplify (i**(2/7))**(-7/2)*i**3/i**(-1/4) assuming i is positive. i**(9/4) Simplify (((i/(i/i**(23/2)))/i)/i)/(i*i**(-26)*i) assuming i is positive. i**(67/2) Simplify ((v/v**(-1/4))**(-32))**(-3/19) assuming v is positive. v**(120/19) Simplify b**8*((b/b**14)/b)/b assuming b is positive. b**(-7) Simplify (l**(2/29)/l*l*l*(l**(-2/7)/l)/l*l*l)/((l/l**3)/(((l/l**0)/l*l*l)/l)) assuming l is positive. l**(768/203) Simplify (b/b**(-5))**(1/3) assuming b is positive. b**2 Simplify o**7/(o/o**(-2/5))*o**(-1)*o*(o*o/(o*o**(-7)))/o assuming o is positive. o**(63/5) Simplify (h*(h*h*h**3)/h)**4*(((h/h**(-3))/h)/h*h*h)**(-18) assuming h is positive. h**(-52) Simplify (w**(5/6)/(w/w**(-6)))**(1/17) assuming w is positive. w**(-37/102) Simplify g**(-18)*g*g**(-11/4)*g assuming g is positive. g**(-75/4) Simplify ((c/((c**(-3)/c*c)/c*c))/(c*c*(c**(4/3)/c)/c))/(c**(1/4))**43 assuming c is positive. c**(-97/12) Simplify (l**(-1/19)/l)/(l/(l*l/((l*l*(l/l**(1/26)*l)/l*l)/l)*l*l*l)*l*l) assuming l is positive. l**(-995/494) Simplify ((r/r**(1/6))/r)/(r*r*(r*r**13*r)/r*r*r*r) assuming r is positive. r**(-115/6) Simplify (l**1/l)/(l*l**(-1/3)) assuming l is positive. l**(-2/3) Simplify (v/(v*v**(-2/7)))**(-31)/(v**(1/4))**(2/9) assuming v is positive. v**(-1123/126) Simplify ((w**6*w)/(w**(-1/3)/w))/(w/(w**(-1)*w)*w)**(-6/7) assuming w is positive. w**(211/21) Simplify c**(4/5)/(c*c**(-1/34)) assuming c is positive. c**(-29/170) Simplify (b**(8/7))**(2/7) assuming b is positive. b**(16/49) Simplify ((x*x**0)**43)**(-43) assuming x is positive. x**(-1849) Simplify p**(2/7)*p*p**(-9)*p*(p/(p**(1/4)/p)*p)/(p*(p/((p*p**(2/9))/p)*p)/p) assuming p is positive. p**(-1447/252) Simplify (f**(-1)/f)**(1/5)*(f*f/(f*f**(1/2)*f*f*f))/f**(4/3) assuming f is positive. f**(-127/30) Simplify ((z/(z/((z*z*(z**5*z)/z*z)/z)))/(z/(z*z**(-8))*z))/((z/(z*z**(6/5)))/(z*z**(-2))) assuming z is positive. z**(-9/5) Simplify y**(2/5)*y**(-2/25)*y**(-5)/y**4 assuming y is positive. y**(-217/25) Simplify o/((o*o**(-24)/o*o)/o)*o*o**(-11)*o assuming o is positive. o**16 Simplify (k*k**27)/(k/(k/k**(-4))) assuming k is positive. k**32 Simplify (h*(h**0/h)/h*h)**(6/25)*(h**(-3/5)/h*h)/h*h*h/(h*((h**(-6)*h*h)/h)/h*h) assuming h is positive. h**(22/5) Simplify (m/(m/m**(-4))*m*((m/m**1)/m*m)/m)**(-2) assuming m is positive. m**8 Simplify w*w**(-3/7)*w*(w/w**(-1/10))/w assuming w is positive. w**(117/70) Simplify ((w*w**(-19)*w*w)/w*w)/(w**(2/29)/w) assuming w is positive. w**(-437/29) Simplify
{ "pile_set_name": "DM Mathematics" }
(-11). What is the highest common factor of 6 and l? 2 Let c = 7 + 4. Suppose 0 = -3*a + a + 4. Suppose n + 4*n = a*l - 47, -2*l = -3*n - 37. Calculate the greatest common factor of l and c. 11 Let l be (0/23 + (-1)/3)*-33. What is the greatest common divisor of l and 341? 11 Let i be ((-16)/(-6))/(1/45). Let g be 1*i - 0/1. Suppose -u + 2*u + 27 = 2*o, 5*u + 63 = 4*o. Calculate the highest common factor of o and g. 12 Let j be (3*-1)/(2/42). Let p = j + 107. Calculate the greatest common factor of 4 and p. 4 Suppose 5*a - 252 + 62 = 0. What is the highest common divisor of 95 and a? 19 Suppose 4*a + 78 = 5*j - 53, 4*a = j - 39. Calculate the highest common divisor of 184 and j. 23 Let x = -41 + 47. Calculate the greatest common factor of x and 24. 6 Suppose 2*z - 3*s = -4*s + 1695, -2*z + 4*s + 1680 = 0. Suppose -5*r - 2*l + z = 0, -3*r - 3*l = r - 681. What is the greatest common divisor of 21 and r? 21 Let k = -16 - -28. Calculate the highest common factor of 24 and k. 12 Let i = -99 + 50. Let a = -23 - i. Calculate the greatest common factor of 13 and a. 13 Suppose 2*h + 20 = -3*h. Let k(i) = -i**3 - 2*i**2 + 6*i + 3. Let t be k(h). What is the highest common divisor of t and 77? 11 Let p be -2*(-2 - (-1)/2). Let i(g) = 5*g - p - 3*g - 2*g + 5*g. Let c be i(3). What is the highest common divisor of c and 30? 6 Let k(r) = 4*r**2 + r - 1. Let n be k(1). What is the highest common divisor of 120 and n? 4 Let x = -57 + 66. Calculate the greatest common divisor of 9 and x. 9 Let b = 171 - 87. Let j(g) = -g**2 + 14*g + 12. Let x be j(14). Calculate the highest common divisor of x and b. 12 Suppose -2*c + c = 5*m - 10, 3*m + 4*c = 6. Let z(t) = -t**3 - 4*t**2 + 2*t + 1. Let n be z(-5). What is the highest common divisor of m and n? 2 Suppose 5*b = -5*l - 80, -4 - 8 = l - 3*b. Let v = -62 + 36. Let k = l - v. What is the greatest common divisor of k and 77? 11 Let h be (0 - -10)*(7 - 4). What is the highest common divisor of h and 45? 15 Let w = -16 + 23. Let j = -24 - -31. Calculate the highest common divisor of w and j. 7 Suppose -3*j - h + 5 = 2, 5*h = j + 15. Suppose y - 61 = -j*y. Suppose -4*c + y + 3 = 0. Calculate the greatest common factor of c and 4. 4 Let t = -94 + 190. Calculate the greatest common factor of 16 and t. 16 Suppose l = 5*l + 2*o + 10, -5*o + 5 = 0. Let y be ((-22)/(-3))/((-2)/l). Let i be 1/3 - 230/(-3). What is the highest common factor of i and y? 11 Suppose 4*f = 2*j - 4*j + 270, -3*f + 208 = -4*j. Calculate the highest common factor of 170 and f. 34 Let o = -12 - -72. Let m be (-4)/(2/(-10)*1). Calculate the greatest common factor of m and o. 20 Let z be (-39)/(-9) - (32/(-6))/8. Calculate the highest common factor of 95 and z. 5 Suppose 0*d + 16 = -2*d. Let o be 33/12 + (-2)/d. Calculate the greatest common factor of o and 15. 3 Suppose i = 2*w - 2*i - 41, 2*w = 4*i + 46. Let x(o) = 2*o + o**3 + 3*o**2 - 3*o**3 + o**3. Let l be x(-4). What is the highest common divisor of w and l? 13 Suppose -5*s = -5*k - 229 + 64, -2*s - k + 78 = 0. Calculate the greatest common factor of s and 111. 37 Let z(b) = -50*b**3 + b**2 + b. Let v be z(-1). Calculate the greatest common divisor of v and 10. 10 Let p(v) = -v**2 + 84. Let y(f) = f**3 - 4*f**2 + 3*f - 6. Let z be y(4). Let b = z + -6. Let g be p(b). Calculate the greatest common divisor of 12 and g. 12 Let w = -5 + 4. Let u be (4 + -2)/(w/(-4)). Let i(d) = 5*d. Let t be i(4). What is the highest common factor of t and u? 4 Let p(y) = 2*y**2 - y**2 + 2*y + 0*y**2 - 3 - 2. Let d be p(-4). Let a(n) = n + 4. Let q be a(d). What is the highest common factor of 28 and q? 7 Let c = -46 + 22. Let k be (-1096)/c - 4/6. What is the highest common factor of 9 and k? 9 Let c = -9 - -24. What is the highest common divisor of c and 5? 5 Let r = 378 - 156. Let q be (-2)/8 - r/(-24). Calculate the greatest common divisor of q and 99. 9 Let x = 6 - 9. Let h be (-15)/x*(1 + 4). Suppose 3*o - 5*s - 20 = 2*o, -2*o + 24 = -2*s. What is the highest common factor of o and h? 5 Let h(p) = p - 3. Let a be (-16)/72 + 74/9. Let z be h(a). Calculate the greatest common divisor of z and 45. 5 Let i = 36 + -20. Let q be (45/36)/(1/i). What is the highest common factor of 30 and q? 10 Let d(m) = 3*m - 27. Let c be d(19). Let i = -4 + 6. Suppose -5*a + 0*a - 5*p = -80, 2*p = i. Calculate the greatest common factor of c and a. 15 Let g(i) = 2*i - 4. Let h(b) = b. Let d(c) = 2*g(c) - 6*h(c). Let t be d(-6). Suppose z - 2 = -0. Calculate the highest common divisor of z and t. 2 Let x(q) = 12*q - 23. Let y be x(4). Calculate the highest common factor of 50 and y. 25 Suppose 0*x = -3*x - 180. Let v = -42 - x. Calculate the highest common factor of 9 and v. 9 Let k(d) = 19*d + 4. Let g be k(4). Let p(o) = 3*o - 5. Let v be p(5). What is the greatest common factor of g and v? 10 Let g be (1/(-2)*-142)/(-1). Let r = 101 + g. Calculate the greatest common factor of r and 12. 6 Let t = 89 - 162. Let r = 32 - t. What is the greatest common factor of r and 15? 15 Let b be (-1 - 1/2)*-42. Let r = 4 + 5. Calculate the greatest common factor of r and b. 9 Suppose 2*j = 3*j - 7. Let u = -12 + 7. Let c = 2 - u. What is the highest common factor of c and j? 7 Let n(y) = -9*y**2 + 3*y. Let g(t) = -1. Let a(v) = -3*g(v) - n(v). Let o be a(2). Calculate the highest common factor of o and 3. 3 Suppose 4*q = 4*y - 180, -2*y - 3*y = -q - 225. What is the greatest common divisor of 30 and y? 15 Let o(j) = -1 + 4*j**2 - 2*j**2 - 2*j - 4*j**2 + 3*j**2. Let b be o(3). Let k be (-2)/(2/(-8)*2). Calculate the greatest common factor of b and k. 2 Let r be (5 + -1)*12/8. Suppose 2*j = r + 2. Let v(i) = 6*i**2. Let f be v(j). What is the greatest common factor of f and 12? 12 Suppose -8 = -8*p + 4*p. Calculate the highest common factor of 10 and p. 2 Let u(k) = -4 - 3 + 1 - k. Let p be u(-8). Suppose -3 = 2*f - 11. What is the highest common factor of f and p? 2 Let i(v) = -2*v**2 - v - v**2 + 2 + 1 + 3*v**3 - v**2. Let m be i(3). What is the highest common divisor of 18 and m? 9 Let t be (-10)/(-45) + (-2120)/(-18). Let k = t - 73. What is the greatest common divisor of k and 18? 9 Suppose 108*j = 112*j - 24. What is the highest common factor of j and 33? 3 Suppose 0 = 5*a + p - 54, -3*a + 2*p = -10 - 12. Let z(s) = -2*s + 10. Let t be z(0). What is the greatest common divisor of t and a? 10 Suppose -2*l + 4 = -2*c, 4*c = -4*l - 0 + 8. Let u be 98*(-1)/l*-2. What is the greatest common divisor of 14 and u? 14 Let k(c) = c + 9. Let d be k(15). Calculate the highest common divisor of 16 and d. 8 Let u be 9/(-4)*-2*16. Suppose 2*k = -k + u. Calculate the highest common factor of 8 and k. 8 Let d be (30/75)/(1/60). What is the highest common divisor of 32 and d? 8 Let i(n) = n**2 - 4*n. Let g be i(4). Let m be (g - -3)*10*1. Suppose 3*f - 3 = o, 0 = -0*f - 4*f + 12. Calculate the highest common factor of o and m. 6 Let i = 7 + -51. Let u = i + 99. Suppose 4*a - 25 = 63. What is the highest common divisor of a and u? 11 Let u = 16 - 5. Suppose -u*p + 12*p = 8. What is the highest common divisor of 40 and p? 8 Suppose 0 = x + 3*f - 5, -2*x + f = 6*f - 10. Let k = 45 - 5. Calculate the highest common factor of k and x. 5 Suppose -3*x = -6 - 3. Suppose -4*n = 3*b - 681, -5*b = -x*n - 1268 + 104. What is the highest common factor of 21 and b? 21 Let x be (425/20)/(-5)*-4. Calculate the greatest common divisor of 119 and x. 17 Let z(l) = 5*l**3 + 4*l**2 - 6*l + 3. Let c be z(1). Calculate the greatest common divisor of 6 and c. 6 Let k be (25 - 1)/((-1)/(-4)). Let b(c) = 3*c + 3. Let y be b(3). Calculate the greatest common divisor of y and k. 12 Let n(q) = -3*q - 4. Let m be n(-3). Suppose 2*u - 1 = m. What is the greatest common divisor of u and 33? 3 Let w(s) = -4*s - 2. Let t be w(-3). Suppose 2*i = t, -5 = -2*q + 4*q + i. Let o = 21 + q. What is the highest common factor of 48 and o? 16 Let l(k) = -4*k - 1. Let t be l(-1). Suppose t*c - 44 = -x, -x = -0*x - 2*c - 24. Calculate the greatest common factor of x and 80. 16 Let a be 6/(-4)*(-4)/3. Let u = 6 - a. Let r = 5 - u. Calculate the greatest common factor of 10 and r. 1 Let n(y) = -y - 18. Let q be n(-8). Let z = q - -14. What is the highest common divisor of 6 and z? 2 Suppose 45 = 4*b
{ "pile_set_name": "DM Mathematics" }
= -p**2 + p + 1. Let t(b) = 5*c(b) - r(b). Calculate o(t(m)). -2*m**2 Let v = 75 + -69. Let s(j) = -2*j. Let c(y) = 2*y. Let b(r) = v*c(r) - s(r). Let p(z) = -2*z. Give b(p(u)). -28*u Let k = -202 + 269. Suppose -5*y + 30 = -0*y. Let u(c) = -y*c**2 + k*c - 67*c. Let t(q) = -q. Give t(u(j)). 6*j**2 Let n(a) = -a**2 + 8*a + 8. Let s(u) = -4*u**2 + 34*u + 34. Let z(v) = 17*n(v) - 4*s(v). Let m(b) = 1 - 5*b**2 - 2*b - 1. Give z(m(x)). -25*x**4 - 20*x**3 - 4*x**2 Let d(k) be the first derivative of -k**3/3 - 111. Let j(r) = -16*r**2 + 2. Determine d(j(m)). -256*m**4 + 64*m**2 - 4 Let u(q) = 326988 - 326988 + q. Let a(n) be the second derivative of -n**3/3 - 11*n**2/2 + 2*n. Give a(u(m)). -2*m - 11 Let c(t) be the first derivative of -7*t**2/2 - 6. Let f(i) = -7 - 13 - 4*i**2 + 20. Calculate f(c(a)). -196*a**2 Let d(c) be the third derivative of -c**4/8 + 8*c**2 - 222*c. Let t(o) = o - o + o**2. Determine d(t(h)). -3*h**2 Let l(u) = 10*u. Let m(v) be the third derivative of v**8/10080 + v**5/3 - 14*v**2. Let q(w) be the third derivative of m(w). Calculate l(q(t)). 20*t**2 Let g(x) = 25 + 12 + 2*x - 37. Let r(a) = 8*a + 2. Determine r(g(l)). 16*l + 2 Let v(o) = 17*o. Let g(u) = 360*u**2. Give g(v(d)). 104040*d**2 Let w(z) = -z**2. Let y(k) = -41296*k. Calculate w(y(n)). -1705359616*n**2 Let s(a) = 155540*a**2. Let g(l) = -10*l. Determine s(g(w)). 15554000*w**2 Let q(k) = k. Let s be q(5). Suppose -4*b = 5*d - 93, 4*d + 0*d = -s*b + 78. Let w(l) = -l - 17 + d. Let y(j) = -3*j**2. Calculate w(y(o)). 3*o**2 Let n(c) = 140*c**2 - 3. Let j(z) = -z**2. Calculate j(n(w)). -19600*w**4 + 840*w**2 - 9 Let y(p) = -34*p. Let l(a) = 4*a + 2. Let d(s) = -5*s - 3. Suppose -2*f + 4*c + 15 = 3*f, f + 5*c - 3 = 0. Let q(m) = f*l(m) + 2*d(m). Calculate y(q(z)). -68*z Let i(u) = -u. Let b(p) = 52433*p. Determine i(b(l)). -52433*l Let u(m) = -3*m**2 + 3*m**2 - 2*m**2. Let a(g) be the first derivative of g**2 + 34. Give a(u(y)). -4*y**2 Let a(m) = 719*m - 5. Let z(g) = -12*g**2 - 8*g. Determine a(z(t)). -8628*t**2 - 5752*t - 5 Let a(s) = -7*s**2. Let k(l) be the first derivative of -l**4/12 + 7*l**2/2 + 7. Let n(o) be the second derivative of k(o). Determine n(a(w)). 14*w**2 Let s(b) be the first derivative of 2*b**3/3 - 460. Let j(d) = -733*d**2. What is j(s(q))? -2932*q**4 Let i(g) = 2*g**2 - 1302. Let y(d) = -12*d**2. Give i(y(k)). 288*k**4 - 1302 Let c(p) = 2*p + 295. Let k(g) = -6*g. Calculate c(k(i)). -12*i + 295 Let t(a) = -2. Let m(n) = -n - 12. Let c(q) = m(q) - 6*t(q). Let s(h) = 19*h**2. What is c(s(o))? -19*o**2 Let r(f) = 100*f - 181*f + 112*f. Let k(d) = -7*d. What is k(r(a))? -217*a Let q(t) = -t**2 + 12*t - 14. Let w be q(10). Let g(b) = -w*b + 5*b - 5*b. Let z(k) = -k. Determine z(g(x)). 6*x Let g(l) be the third derivative of -3*l**5/20 - 130*l**2. Let w(t) = 15*t. Calculate w(g(n)). -135*n**2 Let l(y) = -13*y. Let u(g) be the third derivative of 3*g**2 + 0*g**3 + 1/24*g**4 + 0 + 0*g. Calculate u(l(v)). -13*v Let s(q) be the third derivative of -q**4/24 - 4*q**2. Let g(u) be the third derivative of 0*u + 1/60*u**5 + 0 + 0*u**3 + 0*u**4 + 10*u**2. What is g(s(x))? x**2 Suppose -2*u + 176 = -132. Let s(b) = -154 + u + 40*b**2. Let o(k) = 2*k. Determine s(o(q)). 160*q**2 Let o(q) = 5*q. Let m(n) = -9*n. Let y(p) = -5*m(p) - 8*o(p). Let h(g) = 19*g**2. Determine h(y(d)). 475*d**2 Let j(g) = 275739*g. Let x(n) = n**2. Determine j(x(b)). 275739*b**2 Let k(x) = -8*x**2. Let d(q) = -19*q + 19*q + 8*q. Calculate d(k(y)). -64*y**2 Let p(w) = 390*w**2. Let m(y) = -39*y**2 + 11*y + 11. Let z(t) = 7*t**2 - 2*t - 2. Let d(c) = -4*m(c) - 22*z(c). Determine p(d(x)). 1560*x**4 Let w(i) = -i. Let o be (24/(-10))/(68/(-5) + 13). Let q(x) be the third derivative of -x**2 + 1/4*x**o + 0*x**3 + 0*x + 0. Calculate w(q(r)). -6*r Let l(i) = -16*i**2. Let d(a) = -4*a + 1644. Calculate d(l(y)). 64*y**2 + 1644 Let q(l) = -2*l. Let w(r) be the second derivative of -4*r**3/3 + 7*r**2 - 173*r + 2. Calculate w(q(m)). 16*m + 14 Let j(p) = p**2. Let t(h) = -68792*h. What is j(t(q))? 4732339264*q**2 Let b(y) = -228*y**2 - 95*y. Let i(m) = 5*m**2 + 2*m. Let s(a) = 6*b(a) + 285*i(a). Let v(r) = 7*r**2. Calculate v(s(n)). 22743*n**4 Let x(z) = -4*z**2 + 2*z**2 - 4*z**2 + 4*z**2. Let i(p) = 8*p**2 - 2*p**2 - 4*p**2 + 2*p**2. Determine i(x(q)). 16*q**4 Let p(v) = -188*v**2 - 173*v**2 + 359*v**2. Let j(g) = 14*g. What is p(j(x))? -392*x**2 Let x = 86 - 40. Let o(n) = -2*n + x*n**2 + 2*n - 42*n**2. Let u(z) = 4*z. What is u(o(m))? 16*m**2 Let m(h) = -13*h**2. Let d(b) be the third derivative of b**8/6720 - 9*b**5/20 - 16*b**2. Let a(k) be the third derivative of d(k). Give m(a(i)). -117*i**4 Let d(h) = -10*h**2. Suppose 0*y - 5*y + 25 = 2*m, 0 = -y + 5*m + 32. Let w(z) = -3 - 3*z + y - 4. Determine d(w(j)). -90*j**2 Let t(o) = -462043*o**2. Let d(j) = 13*j. Determine d(t(h)). -6006559*h**2 Let n(s) = 3068*s**2. Let i(u) = -142*u**2. Calculate n(i(q)). 61863152*q**4 Let j(n) be the third derivative of -5*n**2 + 0*n + 0 + 0*n**3 - 1/12*n**4. Let h(k) be the first derivative of -4*k**3/3 - 1. Determine j(h(l)). 8*l**2 Let s(t) = 3*t**2 + 22*t. Let a(d) = 354*d. Calculate s(a(o)). 375948*o**2 + 7788*o Let c(t) = 43*t**2. Let p(l) = l + 2. Let z(h) = -2*h - 1. Let f(u) = p(u) + 2*z(u). Give f(c(q)). -129*q**2 Let m(s) = s. Let y be (-2)/(-4) - 75/10. Let n = 11 + y. Let f(x) = -3*x. Let h(b) = n*f(b) + 4*m(b). Let o(r) = r**2. Determine o(h(w)). 64*w**2 Let y(x) = -x + 1. Let w(n) = -40*n + 25. Let l(a) = w(a) - 25*y(a). Let c(v) = 263090 - 2*v**2 - 263090. Give c(l(p)). -450*p**2 Let b(l) = l - 38. Let y(z) = -3*z**2 + 5*z**2 + 5 - 3 - 2. Give y(b(q)). 2*q**2 - 152*q + 2888 Let v(m) = -44*m**2. Let f(g) = 1250*g**2. Calculate f(v(a)). 2420000*a**4 Let k(c) = -770*c. Let q(p) = -96*p**2 + 3. Give q(k(s)). -56918400*s**2 + 3 Let f(d) = -3*d**2. Let v(r) = -9*r + 4. Let x(l) = 40*l - 17. Let n(z) = -26*v(z) - 6*x(z). What is n(f(j))? 18*j**2 - 2 Let g(f) = -f. Let o(j) be the first derivative of -253*j**2/2 + 26. What is g(o(d))? 253*d Let g(o) = o**2 + o - 1. Let n(b) = 5*b**2 + 4*b - 4. Let u(z) = 4*g(z) - n(z). Let q(a) = -82*a**2. What is u(q(d))? -6724*d**4 Let w(x) be the first derivative of 287*x**2/2 + 2*x + 683. Let r(q) = 2*q**2. Calculate w(r(j)). 574*j**2 + 2 Let t(d) = 2*d**2 + d**2 + 0*d**2. Suppose -3*n = -985 - 2015. Let x(s) = s**2 - 1000 + n. Calculate t(x(g)). 3*g**4 Let l(w) be the second derivative of -3*w**3 - 2*w - 32. Let v(h) = 14*h**2 + 8*h - 8. Let i(r) = -9*r**2 - 5*r + 5. Let n(f) = 8*i(f) + 5*v(f). Give n(l(j)). -648*j**2 Let m(f) = -f + 28. Let l(q) be the first derivative of -q**3/3 + 164. Give m(l(b)). b**2 + 28 Let f(m) = -4 + 3*m + 3 + 2 - 6. Let i be f(3). Let l(d) = i*d**2 - 2*d**2 + 0*d**2. Let x(q) = -7*q. What is x(l(u))? -14*u**2 Let b(a) = -9*a**2. Let v(u) be the third derivative of 0*u + 13*u**2 + 0*u**3 + 0 - 1/12*u**4. Determine v(b(k)). 18*k**2 Let i(k) = 5*k + 4403. Let p(a) = 2*a**2. What is i(p(s))? 10*s**2 + 4403 Let u(s) = -21*s. Let k(r) be the second derivative of -r**5/60 + 15*r**2/2 - 24*r. Let m(y) be the first derivative of k(y). Determine m(u(c)). -441*c**2 Let b(v) = -4*v. Let m(c) be the third derivative of -c**4/4 - 258*c**2. What is m(b(y))? 24*y Let i(h) = 2*h**2 - 5*h. Let f(a) be the third derivative of a**5/60 - 109*a**2. Determine i(f(p)). 2*p**4 - 5*p**2 Let l(n) = 2*n. Let p(b) be the third derivative of -4*b + 2*b**2 + 0*b**3 + 0 - 5/3*b**5 + 0*b**4. Calculate l(p(a)). -200*a**2 Let b(j) = 10*j. Let v(r) = 256822*r. Calculate v(b(p)). 2568220*p Let t(l) = -4*l - 7 + 7. Let u(i) = 9*i + 10*i - 27*i + 14*i + 11*i. What is t(u(y))? -68*y Let g(u) = u**2 + 231*u. Let j(p) = 34*p + 28*p + 27*p - 87*p. Give j(g(k)). 2*k**2 + 462*k Let l(b) = -25*b**2 + b + 656. Let a(c) = 3*c. Determine a(l(k)). -75*k**2 + 3*k + 1968 Let o(x) = -72*x. Let j(m) = -2*m**2 + m. Let n(u) = -105*u**2 + 55*u. Let t(l) = -110*j(l) + 2*n(l). What is t(o(i))? 51840*i**2 Let p(q) = -4*q. Let o(f) = 24*f**2 + f + 60. Determine p(o(w)). -96*w**2 - 4*w - 240 Let z(t) = 18*t. Let g(c) be the third derivative of 7*c**5/60 + 11*c**2 + 1. Calculate z(g(r)). 126*r**2 Let q(z) = 4*z. Suppose 2*g - g - 11 = 0. Let a(n) = -4*n**2 - 13 + g + 2. Determine q(a(l)). -16*l**2
{ "pile_set_name": "DM Mathematics" }
s prob of sequence lqd when three letters picked without replacement from lffqufdqdldvvvfvuldl? 4/855 Calculate prob of sequence ngix when four letters picked without replacement from {n: 1, i: 3, g: 6, s: 1, x: 1, u: 3}. 1/1820 Calculate prob of sequence dbqa when four letters picked without replacement from {a: 3, b: 4, q: 3, d: 1, g: 2, t: 2}. 1/910 Three letters picked without replacement from gfffufgfjjjju. Give prob of sequence jgg. 2/429 Two letters picked without replacement from eyxov. What is prob of sequence ve? 1/20 What is prob of sequence xxxw when four letters picked without replacement from xxwxxwxxwwxwx? 14/143 Three letters picked without replacement from {y: 2, t: 1, h: 2, f: 1, b: 6}. What is prob of sequence hfb? 1/110 Two letters picked without replacement from ififfiizfiiifiiffiif. What is prob of sequence zi? 11/380 What is prob of sequence sssv when four letters picked without replacement from vksskfssssvk? 2/99 What is prob of sequence poy when three letters picked without replacement from {y: 2, m: 1, p: 2, o: 1}? 1/30 What is prob of sequence yvg when three letters picked without replacement from egvegyyyey? 1/90 What is prob of sequence aq when two letters picked without replacement from qdayaoox? 1/28 Calculate prob of sequence irii when four letters picked without replacement from {i: 5, r: 2}. 1/7 Calculate prob of sequence smb when three letters picked without replacement from {m: 1, o: 4, s: 1, h: 3, b: 4}. 1/429 Two letters picked without replacement from qzw. What is prob of sequence zw? 1/6 Two letters picked without replacement from {p: 1, o: 2, u: 1, v: 2, g: 2}. Give prob of sequence pu. 1/56 What is prob of sequence dzzv when four letters picked without replacement from dzzjv? 1/60 Four letters picked without replacement from hbbhbhhhhhhhhh. What is prob of sequence bhhb? 5/182 Calculate prob of sequence ekee when four letters picked without replacement from {e: 3, w: 2, v: 1, y: 2, p: 2, k: 2}. 1/990 What is prob of sequence exk when three letters picked without replacement from {k: 2, n: 4, x: 1, e: 1}? 1/168 Calculate prob of sequence etet when four letters picked without replacement from {e: 9, t: 7}. 9/130 Four letters picked without replacement from pcccpppnkjcnpppp. What is prob of sequence jpnk? 1/2730 Calculate prob of sequence srb when three letters picked without replacement from bbsbbbpsrbbpbpssbpr. 4/323 What is prob of sequence dsb when three letters picked without replacement from dbdcscdcdcscccbcs? 1/170 Two letters picked without replacement from {e: 2, x: 3}. What is prob of sequence xx? 3/10 Calculate prob of sequence lex when three letters picked without replacement from {g: 1, w: 11, e: 1, l: 4, x: 1, p: 2}. 1/1710 What is prob of sequence reer when four letters picked without replacement from regreerzgzezrrrrr? 1/85 What is prob of sequence elrr when four letters picked without replacement from zlezrrzzzzzzleze? 1/3640 Calculate prob of sequence fwmi when four letters picked without replacement from {i: 2, m: 1, w: 1, f: 1}. 1/60 Two letters picked without replacement from {k: 1, p: 4, r: 3}. What is prob of sequence rp? 3/14 Two letters picked without replacement from gvgggvg. Give prob of sequence gg. 10/21 Calculate prob of sequence xex when three letters picked without replacement from {z: 3, x: 6, y: 1, e: 4}. 5/91 Three letters picked without replacement from wwtwttwttwwtw. What is prob of sequence wtw? 21/143 What is prob of sequence gv when two letters picked without replacement from remmgveegvvrieiiir? 1/51 Calculate prob of sequence exn when three letters picked without replacement from ncenx. 1/30 Four letters picked without replacement from {w: 9, g: 2, o: 8}. What is prob of sequence gwwo? 4/323 What is prob of sequence agd when three letters picked without replacement from {k: 1, i: 3, j: 7, d: 1, a: 2, g: 4}? 1/612 What is prob of sequence mdgo when four letters picked without replacement from glodcmd? 1/420 Two letters picked without replacement from {z: 9}. Give prob of sequence zz. 1 Two letters picked without replacement from {d: 1, o: 4, l: 2, t: 3, q: 9}. Give prob of sequence oq. 2/19 Calculate prob of sequence gl when two letters picked without replacement from {g: 10, a: 1, l: 8}. 40/171 Two letters picked without replacement from {u: 2, h: 2, f: 1, k: 1, l: 2, m: 1}. Give prob of sequence hl. 1/18 What is prob of sequence vo when two letters picked without replacement from ooovvzo? 4/21 Two letters picked without replacement from ddldddddddddllldld. Give prob of sequence dl. 65/306 Calculate prob of sequence sr when two letters picked without replacement from {w: 1, r: 1, s: 1, x: 3, f: 14}. 1/380 Three letters picked without replacement from hbbiybx. What is prob of sequence hxb? 1/70 Two letters picked without replacement from {l: 2, i: 1, h: 1, m: 2}. What is prob of sequence hm? 1/15 Calculate prob of sequence mk when two letters picked without replacement from {m: 2, c: 1, w: 10, k: 1}. 1/91 Four letters picked without replacement from {o: 1, z: 1, j: 2, q: 2, d: 1, p: 1}. What is prob of sequence zjpq? 1/420 Calculate prob of sequence hm when two letters picked without replacement from {m: 2, l: 6, k: 2, s: 5, h: 3}. 1/51 Calculate prob of sequence zy when two letters picked without replacement from {y: 6, z: 1, c: 11, u: 1}. 1/57 Three letters picked without replacement from {i: 7}. What is prob of sequence iii? 1 Calculate prob of sequence hcuc when four letters picked without replacement from {u: 3, h: 1, c: 12}. 33/3640 Three letters picked without replacement from qqqy. What is prob of sequence yqq? 1/4 What is prob of sequence bbme when four letters picked without replacement from {k: 2, b: 5, e: 1, m: 1}? 5/756 Calculate prob of sequence fyy when three letters picked without replacement from {y: 5, f: 14}. 140/2907 Two letters picked without replacement from fccffffcffff. What is prob of sequence cc? 1/22 Calculate prob of sequence ymy when three letters picked without replacement from yyjmv. 1/30 Two letters picked without replacement from eskllkkokol. Give prob of sequence eo. 1/55 Three letters picked without replacement from {o: 1, r: 1, p: 2, l: 2, t: 1}. What is prob of sequence otr? 1/210 Four letters picked without replacement from {i: 4, e: 2, a: 2}. Give prob of sequence aeae. 1/420 What is prob of sequence kk when two letters picked without replacement from {k: 3}? 1 What is prob of sequence flq when three letters picked without replacement from qbflqfwfwqbq? 1/110 What is prob of sequence dbdb when four letters picked without replacement from {d: 3, b: 3}? 1/10 What is prob of sequence vvix when four letters picked without replacement from {v: 6, x: 7, i: 4}? 1/68 Calculate prob of sequence mmgg when four letters picked without replacement from mmggmg. 1/10 Four letters picked without replacement from {k: 2, g: 5}. Give prob of sequence kggk. 1/21 Two letters picked without replacement from bmbmbmabvabvb. Give prob of sequence bv. 1/13 Two letters picked without replacement from {c: 8, x: 3}. What is prob of sequence cx? 12/55 Calculate prob of sequence il when two letters picked without replacement from {h: 2, k: 1, z: 1, l: 1, t: 1, i: 1}. 1/42 What is prob of sequence zh when two letters picked without replacement from {h: 4, z: 3}? 2/7 Four letters picked without replacement from {q: 2, x: 1, g: 1, f: 1}. Give prob of sequence qxgq. 1/60 Two letters picked without replacement from uuuauuafaaurfuuupuau. Give prob of sequence pr. 1/380 What is prob of sequence gio when three letters picked without replacement from {o: 1, g: 6, w: 1, i: 3, j: 1, u: 1}? 3/286 Four letters picked without replacement from {f: 3, g: 1, i: 6, y: 4}. What is prob of sequence fyfi? 6/1001 Three letters picked without replacement from ozozz. What is prob of sequence zzo? 1/5 Three letters picked without replacement from nndqnnmhqknnqkd. What is prob of sequence dmn? 2/455 Calculate prob of sequence oq when two letters picked without replacement from {o: 1, q: 3}. 1/4 Calculate prob of sequence qw when two letters picked without replacement from {r: 7, w: 1, q: 2}. 1/45 What is prob of sequence cd when two letters picked without replacement from {t: 3,
{ "pile_set_name": "DM Mathematics" }
2*f Collect the terms in 73*t + 29*t + 57*t - 41*t. 118*t Collect the terms in -w + 0*w - 5*w. -6*w Collect the terms in g - 739 + 368 + 371. g Collect the terms in 4*u**2 - 138*u**3 - 4*u**2. -138*u**3 Collect the terms in c**2 - 49*c - 27*c**3 - 2*c**3 - c**2. -29*c**3 - 49*c Collect the terms in 27*k + 20*k - 47*k - k**2. -k**2 Collect the terms in -3*m**2 + 85572 - 85572. -3*m**2 Collect the terms in 1166*s**3 - 2331*s**3 + 1160*s**3. -5*s**3 Collect the terms in 5*o**2 - 6*o**2 + 898*o - 7*o**2 - 898*o. -8*o**2 Collect the terms in 2*t**3 - 7*t + 2*t**3 + 7*t. 4*t**3 Collect the terms in 8 - 15*s - 8. -15*s Collect the terms in 4*v**3 + 123 - 2*v**3 - 63 - 60. 2*v**3 Collect the terms in -2*s**2 - 4*s**2 - 4*s**2. -10*s**2 Collect the terms in -2 + 26*i + 305*i + 45*i. 376*i - 2 Collect the terms in -829*h**3 - 370*h**3 - 173*h**3. -1372*h**3 Collect the terms in -6*p + 2*p - 3*p - 2*p + 4*p. -5*p Collect the terms in -9 + 43*o**3 + 0 + 9. 43*o**3 Collect the terms in -41*z + 8*z + 11*z + 13*z + 11*z. 2*z Collect the terms in 5*v**3 + 3*v**3 - 2*v**3 - 18*v**3. -12*v**3 Collect the terms in 44*c - 31*c + 183*c + 2. 196*c + 2 Collect the terms in -16*m**3 + 14*m**3 + 9*m**3. 7*m**3 Collect the terms in 0*v + 4*v**3 + 0*v - 17853 + 17853. 4*v**3 Collect the terms in -16 - 10 + 26 + 5*g. 5*g Collect the terms in -26*u**2 + 21*u**2 - 82*u**2. -87*u**2 Collect the terms in -40950*g**2 + g**3 + 40950*g**2. g**3 Collect the terms in 34*r**3 + 46*r**3 + 18*r**3 - 18*r**3. 80*r**3 Collect the terms in -3*w**3 + 1640*w - 1640*w. -3*w**3 Collect the terms in 8*o**2 + 12*o**2 - 21*o + 21*o. 20*o**2 Collect the terms in 24*d**2 - 58*d**2 + 28*d**2. -6*d**2 Collect the terms in -16*b + b - 7*b. -22*b Collect the terms in 3 + 19*f - 3 - 18*f. f Collect the terms in -6*q**3 + 5*q**3 + 7*q**3 + 4*q**3. 10*q**3 Collect the terms in 12079 + r - 12079. r Collect the terms in 14*o**2 + 21*o**2 - 24*o + 24*o. 35*o**2 Collect the terms in -10*j**3 + 5*j**3 - 5*j**3. -10*j**3 Collect the terms in 18*r**2 + 248*r - 248*r. 18*r**2 Collect the terms in -10 + 3*y + 27 + 8. 3*y + 25 Collect the terms in -8*b**3 + 18880*b - 18880*b. -8*b**3 Collect the terms in 4*l**2 + 9*l + 12 + 15 - 27. 4*l**2 + 9*l Collect the terms in 7*m**2 - 3*m**2 - 4*m**2 + 44*m**3 - 35*m**3. 9*m**3 Collect the terms in 185*q**2 + 145*q**2 + 105*q**2. 435*q**2 Collect the terms in 97*l**2 - 193*l**2 + 95*l**2. -l**2 Collect the terms in 17*i**2 - 12*i**2 + 15*i**2. 20*i**2 Collect the terms in 10*m**3 - 449*m + 449*m. 10*m**3 Collect the terms in -y**2 + 19*y - 68*y + y**2 + 2*y**2. 2*y**2 - 49*y Collect the terms in -169 + 169 + 33*q. 33*q Collect the terms in -172*l + 172*l - 6*l**2 - 4*l**2. -10*l**2 Collect the terms in 0 + 21 + 3*s**2 - s**2. 2*s**2 + 21 Collect the terms in 7*y**2 - 15*y**2 + 4*y**2 + 11*y**2. 7*y**2 Collect the terms in -5*y + 2*y + 3*y - 9*y**3. -9*y**3 Collect the terms in -18*d**2 + 44*d**2 - 22*d**2. 4*d**2 Collect the terms in -63 + 63 - 418*w**2. -418*w**2 Collect the terms in 41 + 2*k**2 - 8*k**2 - 41 - 6*k**2. -12*k**2 Collect the terms in 3370*c**2 - 1786*c**2 - 1585*c**2. -c**2 Collect the terms in 96*v - 185*v - 7*v**2 + 89*v. -7*v**2 Collect the terms in -16*i**2 + 17908 - 17908. -16*i**2 Collect the terms in -81*p**3 - 5*p**2 + 5*p**2. -81*p**3 Collect the terms in -1 - 36859*v + 36859*v + 1 - v**2. -v**2 Collect the terms in -3*b - 34*b - 55*b - 1. -92*b - 1 Collect the terms in -22*x**3 + 35*x**3 - 9*x - 16*x**3. -3*x**3 - 9*x Collect the terms in -18*z**3 + 8*z**3 + 7*z**3 - 5*z**3. -8*z**3 Collect the terms in -5*p**3 + 1129*p - 1129*p. -5*p**3 Collect the terms in -14*p**3 + 19*p**3 - 4*p**3. p**3 Collect the terms in 8*b**3 + 0*b**3 - 16*b**3 + 10*b**3 + 3*b**3. 5*b**3 Collect the terms in -8*d**2 + 6*d**2 + 0*d**2 + 3*d**2. d**2 Collect the terms in -2*j**3 + 17*j**2 - 51*j**2 - 34*j**2. -2*j**3 - 68*j**2 Collect the terms in 1739*b**2 + 1734*b**2 - 5*b - 3476*b**2 + 5*b. -3*b**2 Collect the terms in 4*x - 305820*x**2 + 305820*x**2 - x**3 - 4*x. -x**3 Collect the terms in -1913 + 1913 - 37*f**2. -37*f**2 Collect the terms in 3*b**3 + 5*b**3 + b**3 + 13*b**3. 22*b**3 Collect the terms in -2*o**3 - 3 + 0 + 1 + 8*o**3. 6*o**3 - 2 Collect the terms in 2 - 80*a**2 + 27*a**2 - 2. -53*a**2 Collect the terms in -b**3 - 191*b**2 + 191*b**2 - 5*b**3. -6*b**3 Collect the terms in -8*d**2 - 9*d**2 - 6*d**2 + 25*d**2. 2*d**2 Collect the terms in -9*k**3 + 26*k**2 - 26*k**2. -9*k**3 Collect the terms in -6*i**3 - i**3 + 6*i**3 + 0*i**3 + 3*i**3. 2*i**3 Collect the terms in -139 - 135 + 2*u + 274. 2*u Collect the terms in -53*x + 53*x - 24*x**3. -24*x**3 Collect the terms in 31*v**2 + 128*v**2 - 9*v**3 - 159*v**2. -9*v**3 Collect the terms in -346 + 346 - 5*o. -5*o Collect the terms in 307*p**3 - 643*p**3 + 339*p**3. 3*p**3 Collect the terms in y**2 - 66 + 0*y**2 - 2*y**2 - y**2. -2*y**2 - 66 Collect the terms in -23 - 17*u**3 + 23. -17*u**3 Collect the terms in 25*x**2 - 138*x**2 - 49*x**2. -162*x**2 Collect the terms in 30*q + 17*q - 57*q. -10*q Collect the terms in -1 + 31*c - 25*c - 19*c. -13*c - 1 Collect the terms in -190428 - 7*o**2 + 190428. -7*o**2 Collect the terms in -31*h**2 + 59*h**2 - 31*h**2. -3*h**2 Collect the terms in 3*y**3 - 3*y**3 - 4*y**3 + 2*y**3. -2*y**3 Collect the terms in 10*m**2 + 0*m**2 - 14*m**2 + 3*m**2. -m**2 Collect the terms in 2*b - 694504 + 2*b - 3*b + 694504. b Collect the terms in -35*w + 72*w - 97*w. -60*w Collect the terms in -2*t**2 - 2*t**2 + 8*t**2 - 11*t**2 - 8*t**2. -15*t**2 Collect the terms in 599*x - 602*x - 1 + 0 + 1. -3*x Collect the terms in 865694 + 8*p - 865694. 8*p Collect the terms in -38 + 38 - 55*j. -55*j Collect the terms in 23*j**2 + 56*j**2 + 270*j**2. 349*j**2 Collect the terms in 236*x**2 + 597*x - 597*x. 236*x**2 Collect the terms in -125*c**3 + 63*c**3 - 15*c**3 - 197*c**3. -274*c**3 Collect the terms in 2 - 3*i**3 + 0*i**3 - 3*i**3. -6*i**3 + 2 Collect the terms in -4339 - 2*u + 4339. -2*u Collect the terms in -8*s - 14 + 14. -8*s Collect the terms in 2*x - 25*x - 9*x - 16*x. -48*x Collect the terms in -38*r**3 + 72*r**3 - 33*r**3. r**3 Collect the terms in -18*q**3 - 62*q**3 + 30*q**3 - 47*q**3. -97*q**3 Collect the terms in -741*h + 369*h + 372*h - h**2. -h**2 Collect the terms in -k + 6*k - 3*k. 2*k Collect the terms in 111 - 12*s - 111. -12*s Collect the terms in -13*d + 2*d + 3*d. -8*d Collect the terms in 6*p + 11*p - 25*p + 12*p. 4*p Collect the terms in 22*u**2 - 15*u**2 - 11*u**2. -4*u**2 Collect the terms in 2*l**2 - 53*l**2 + 45*l**2. -6*l**2 Collect the terms in -6*n + n + 27*n. 22*n Collect the terms in 248*s - 248*s + 2*s**2. 2*s**2 Collect the terms in 22*k + 10*k + 32*k. 64*k Collect the terms in 2 + 4*i**2 - 386*i - 2 + 390*i. 4*i**2 + 4*i Collect the terms in 5721644 - 2*i - 5721644. -2*i Collect the terms in -33*h**3 + 6*h**2 - 7*h**2 + 6*h**3. -27*h**3 - h**2 Collect the terms in -3*w**2 + w**2 + 2*w**2 + w**2. w**2 Collect the terms in -39*r**3 - 233*r**3 + 2*r**3. -270*r**3 Collect the terms in 932 - 466 - 79*n**3 - 466. -79*n**3 Collect the terms in -4 - 345*s**2 + 4. -345*s**2 Collect the terms in p**2 + 271675 - 271675. p**2 Collect the terms in 112*t**3 - 59*t**3 + 127*t**3 + 5*t**3. 185*t**3 Collect the terms in -4*i + 0*i + 0*i - 45. -4*i - 45 Collect the terms in -5*p**2 - 4*p**2 + 2*p**2 + p**2. -6*p**2 Collect the terms in -2 + 2 - 742*i**2 - 112*i**2. -854*i**2 Collect the terms in -19*k**2 + 11*k**2 - 41*k**2. -49*k**2 Collect the terms in 1021 - 509 - 3*i**2 - 512. -3*i**2 Collect the terms in 66 - 126 - 4*p + 60. -4*p Collect the terms in 1089*p**2 - 542*p**2 - 544*p**2. 3*p**2 Collect the terms in 3*a**3 + 4595*a**2 - 4595*a**2. 3*a**3 Collect the terms in -9*z + 1 + 7*z + 12. -2*z + 13 Collect the terms in -33*n - 10*n + 17*n. -26*n Collect the terms in 1 + 2 + 2*i**2 - 7*i**2 + 0. -5*i**2 + 3 Collect the terms in -2*g + 6*g + 11*g + 2*g. 17*g Collect the terms in 0*w - 2*w + 2*w + 7*w. 7*w Collect the terms in 3*p**2 + 3*p - 3*p**2 + 4*p**2 - p**2. 3*p**2 + 3*p Collect the terms in 2*w**2 + 2*w**2 - w**2. 3*w**2 Collect the terms in -9*h**3 - 25 + 73 - 21 - 27. -9*h**3 Collect the terms in -40*r - 39*r + 85*r. 6*r Collect the terms in -2 + 2 + 47*q - 45*q. 2
{ "pile_set_name": "DM Mathematics" }
y*t(v) - 3*l(v). v + 2 Let g(t) = 4*t**3 - 11*t + 42. Let s(m) = m**3 - 4*m + 14. Calculate 4*g(n) - 11*s(n). 5*n**3 + 14 Let w(c) = -14*c**2 - 14*c**2 + 12*c**2 + 16*c**3 + 15*c**3 - 9*c**3. Let d(i) = -5*i**2 + 3*i**2 - 3*i**2 + 7*i**3. Give 16*d(o) - 5*w(o). 2*o**3 Let k(d) = 16*d**3 - 10*d**2 + 10*d. Let a(l) = l**3 - l**2 + l. Give 10*a(q) - k(q). -6*q**3 Let s = 32 + -23. Let g(l) = 9 - 7*l + 2 - s. Let u(j) = 3*j - 1. Determine -2*g(x) - 5*u(x). -x + 1 Let p(o) = 1. Let m(z) = 11*z - 55. Determine -m(s) - 55*p(s). -11*s Let m(o) = -o**3 - 6*o**2 - 6*o - 3. Let i be m(-5). Let b(h) = -h**3 - 2*h**2 + 0*h + i*h + h**2 + 1. Let k(y) = -y**3 + y. Calculate 2*b(c) - 4*k(c). 2*c**3 - 2*c**2 + 2 Let l(m) = -5*m**3 - 11*m + 11. Let b(v) = -15*v**2 - v**3 + 2 - 2*v + 15*v**2. Let a(q) = q**2 + 8*q + 1. Let c be a(-6). Give c*b(p) + 2*l(p). p**3 Suppose 0 = -k - 4*k - 15. Let x = k - -1. Let o(j) = 4*j + 3. Let v(y) be the third derivative of y**4/24 + y**3/6 - y**2. Determine x*v(r) + o(r). 2*r + 1 Let y = -58 - -61. Let c(s) = 2*s + 4. Let f(b) = -2*b - 5. What is y*f(l) + 4*c(l)? 2*l + 1 Let y(h) = -7*h**2 - 3*h - 2. Let c(r) = r**2 + r. Let q be 0/(-1) - (-27 + 22). Calculate q*c(x) + y(x). -2*x**2 + 2*x - 2 Let a(s) = 4*s**2 - 25*s + 9. Let d(w) = -6*w**2 + 38*w - 13. What is -7*a(g) - 5*d(g)? 2*g**2 - 15*g + 2 Let b(i) be the first derivative of 5*i**2/2 + 5*i + 1. Let z(p) = 3*p - 1 + 3 - 2*p. Let r be z(-3). Let g(k) = -k - 1. What is r*b(c) - 4*g(c)? -c - 1 Let k(p) = -p**2 - 6*p + 6. Let y be (3/9)/(4/(-24) + 0). Let x(l) = l - 1. Calculate y*k(b) - 14*x(b). 2*b**2 - 2*b + 2 Let i = 3 + 2. Let n(l) = -2*l. Let s be n(i). Let r(g) = g**3 + 5*g + 5. Let h(j) = -j - 1. What is s*h(b) - 2*r(b)? -2*b**3 Let a(n) be the first derivative of n**4/4 - 5*n**3 + 44. Let c(i) = -i**3 + 10*i**2. Determine 5*a(j) + 7*c(j). -2*j**3 - 5*j**2 Suppose 13*r - 6*r = -28. Let f(x) = -x + x**2 - 3*x**2 + 3*x**2. Let q(l) = 5*l**2 - 3*l - 2. Calculate r*f(a) + q(a). a**2 + a - 2 Let z(d) = -1. Let y(g) = -4*g**3 - 6. Calculate y(o) - 6*z(o). -4*o**3 Let d(g) = -11*g - 23. Let w(j) = 4*j + 8. Give 3*d(r) + 8*w(r). -r - 5 Let v(b) = 18*b - 13. Let w(n) = -6*n + 4. What is -2*v(j) - 7*w(j)? 6*j - 2 Let h(k) = -k**2 - k - 1. Let v(z) = -4*z**2 - z - 1. What is -5*h(d) + 5*v(d)? -15*d**2 Let b(o) = 4*o**2 + 3*o - 7. Let p(u) = 7*u - 2*u**2 + 2 + 9*u - 17*u + 1. Calculate 2*b(m) + 5*p(m). -2*m**2 + m + 1 Let r(i) = 8*i - 2. Let h(u) = 9*u - 3. Give -6*h(k) + 9*r(k). 18*k Let r = 6 + -3. Let x(j) = 2*j**3 - 4*j**2 + 3. Let f(u) be the third derivative of -u**6/24 + 3*u**5/20 - 7*u**3/6 + 12*u**2 + u. What is r*f(o) + 7*x(o)? -o**3 - o**2 Let a(x) = 9*x + 6. Let j(l) = 1 - 22*l + 1 - 16*l + 41*l. Give 3*a(k) - 8*j(k). 3*k + 2 Let p(w) = -w + 1. Let o(v) = -7. Give o(u) - 4*p(u). 4*u - 11 Let v(j) = -3*j**2 + 6*j**2 - 4*j**2 + 2 - 1. Let k(a) be the third derivative of a**5/15 - a**4/24 - 2*a**3/3 + a**2. Determine k(d) + 3*v(d). d**2 - d - 1 Let w(x) = -x + 1. Let r(g) = 8*g**2 + 2*g - 2. Determine -3*r(s) - 6*w(s). -24*s**2 Let q(a) = -20*a**3 - 9*a**2 + 17*a - 17. Let d(l) be the second derivative of -7*l**5/20 - l**4/4 + l**3 - 3*l**2 - 12*l. What is 17*d(v) - 6*q(v)? v**3 + 3*v**2 Let s = -9 + 15. Let w(u) = -7*u**2 + u. Let o(g) = -95*g**2 + 2*g + 182*g**2 - g - 95*g**2. Determine s*w(v) - 5*o(v). -2*v**2 + v Let t(v) = -3*v**3 + 4*v + 5. Suppose 0*i + 12 = 3*i. Let z(j) = 2*j**3 - 3*j - 4. Give i*t(n) + 5*z(n). -2*n**3 + n Let a(m) = m**2 + 15*m + 3. Let f be a(-15). Let d(n) = -2*n - 4. Let q(v) = 4*v + 9. Let b(y) = 8*y + 18. Let o(h) = 3*b(h) - 5*q(h). What is f*o(r) + 7*d(r)? -2*r - 1 Let u(f) = -6*f - 4. Let y(p) = -7*p + 1 + 0*p - 7 - 2*p. Calculate 8*u(g) - 5*y(g). -3*g - 2 Let x(m) = -5*m - 7. Let y(f) = f + 0*f + 1 + 0. Give x(l) + 6*y(l). l - 1 Let k(v) be the first derivative of -v**4/4 - 5*v**2/2 + 16. Let z(p) = -2*p**3 - 8*p. What is -8*k(u) + 5*z(u)? -2*u**3 Let b(p) = -8*p**3 - 13*p. Let k(m) = 2*m**3 + 3*m. What is -6*b(l) - 26*k(l)? -4*l**3 Let u(l) = -4*l - 7. Let b = -1 - -7. Let y(s) be the first derivative of 9*s**2/2 + 15*s - 22. Determine b*y(a) + 13*u(a). 2*a - 1 Let k(b) = 7*b**3 - b**2 + b - 5. Suppose 3*x - 12 = -3*h, -20 = 5*x - 3*h - 0*h. Let p be (-5)/(0 - (-2 + 1)). Let o(m) = -m**3 + 1. Calculate p*o(w) + x*k(w). -2*w**3 + w**2 - w Let w be (-10)/25 + (-57)/(-5). Let k(t) = -11*t - w*t + 6*t - 16 - 10*t**3. Let f(r) = -2*r**3 - 3*r - 3. What is -16*f(y) + 3*k(y)? 2*y**3 Let y(l) = -l**3 - 4*l**2 + 25*l - 4. Let q(f) = -f**3 - 7*f**2 + 49*f - 7. Give 3*q(d) - 5*y(d). 2*d**3 - d**2 + 22*d - 1 Let s(f) = -4*f**2 + f + 2. Let i(j) = -9*j**2 + 2*j + 5. Calculate 6*i(p) - 14*s(p). 2*p**2 - 2*p + 2 Let p(o) = 6*o**2. Let g(x) = -x + 12. Let f be g(5). Suppose -f = 4*a + 5. Let t(u) = 5*u**2. What is a*t(z) + 2*p(z)? -3*z**2 Let m(y) = 9*y. Suppose 4*v - 5*v = 2*k + 23, -4*v = 2*k + 14. Let z(x) = 19*x. What is k*m(c) + 6*z(c)? -3*c Let j(w) = 2*w - 8 - 12 + 16. Let q(x) = -x + 1. Calculate j(l) + 3*q(l). -l - 1 Let b(u) = -1. Let g(r) = 3*r + 12. Suppose 0 = -3*w - d + 73, -2*w - 2*d = -5*d - 34. Let x = 24 - w. What is x*g(y) + 12*b(y)? 3*y Let y(i) = -8*i**3 + 2*i**2 - i - 1. Let q(d) = -17*d**3 + 5*d**2 - 2*d - 3. Give -4*q(g) + 9*y(g). -4*g**3 - 2*g**2 - g + 3 Let w(h) be the third derivative of -h**4/12 - h**3/2 - h**2. Let m(c) = 3*c + 5. Calculate -4*m(y) - 7*w(y). 2*y + 1 Let f(g) = -55*g. Let c(v) = 8*v. Let j(o) = 20*c(o) + 3*f(o). Let q(b) be the third derivative of -b**4/4 + 6*b**2. Determine 5*j(r) - 4*q(r). -r Let d(r) = 4*r**2 + 14. Let q(j) = -4 - 10*j**2 + 11*j**2 + 6 + 1. Suppose -3 = n - 0. Calculate n*d(s) + 14*q(s). 2*s**2 Let p(w) = -w + 1. Let f(v) = 50*v**3 + 100*v - 100. What is -f(a) - 100*p(a)? -50*a**3 Let k(u) = 26*u**3 + 5*u**2 - 5. Let w(q) = -q**3 - q**2 + 1. Calculate 2*k(v) + 10*w(v). 42*v**3 Let k(f) = -2*f + 4. Let u(a) = 13*a - 23. What is 34*k(g) + 6*u(g)? 10*g - 2 Let s(a) = -a**3 - a + 6. Let b(p) be the second derivative of p**5/60 + p**4/6 + p. Let q(i) be the third derivative of b(i). Determine 7*q(y) - 2*s(y). 2*y**3 + 2*y + 2 Let v(s) = -8*s - 3. Let n(j) = 9*j + 3. Determine -5*n(x) - 6*v(x). 3*x + 3 Let v(c) = -14 + 37 - 13 - 11. Let k(s) = 5*s + 5. Give k(w) + 5*v(w). 5*w Let k(x) = 143*x**2 - 65. Let o(w) = -9*w**2 + 4. Calculate 4*k(g) + 65*o(g). -13*g**2 Let m(l) = -4*l + 2. Let h(c) = 2*c - 1. Suppose 3*f - f = 2*u - 10, -2*u + f = -6. Let s = 5 + u. Give s*m(j) + 13*h(j). 2*j - 1 Let p(n) = n**2 + n - 1. Let h(l) = -21*l**2 + 5*l - 9. Let i(j) = -11*j**2 + 3*j - 5. Let b(f) = 6*h(f) - 11*i(f). What is b(k) + 3*p(k)? -2*k**2 - 2 Let k(j) = -4*j. Let z(y) = -7*y. Determine 5*k(l) - 3*z(l). l Let l(i) be the third derivative of 3*i**2 + 1/60*i**5 + 0*i**4 - 1/6*i**3 + 0*i + 0. Let f(h) = -h - 3. Calculate f(n) - 2*l(n). -2*n**2 - n - 1 Let j(h) = -h - 8 + 0*h**2 + 9 + 2*h**2 - 5*h**2. Let y(i) = i**2 + i - 1. Give j(x) + y(x). -2*x**2 Let g(u) be the first derivative of 4*u**3/3 + 2*u**2 + 2*u - 8. Let m(a) = -5*a**2 - 5*a - 2. Suppose 10 = 7*k - 9*k. Give k*m(f) - 6*g(f). f**2 + f - 2 Suppose 3*m = 5*w - 25, -8*w + 15 = -5*w + m. Let v(c) = -11*c + 5. Let g(s) = -7*s + 3. Give w*v(n) - 8*g(n). n + 1 Let a(q) = q**2 + 4*q - 3. Let u be a(-5). Let d(z) = -z**3 + 71*z - 72*z - 2*z**2 + 3*z**u. Let w(t) = t**3 - 3*t**2 + 3*t - 1. What is 3*d(x) + w(x)? -2*x**3 - 1 Let j(c) = -2*c. Let l be j(4). Let z = 4 + l. Let n(m) = -5*m**2. Let q(h) = -h**2. Give z*n(i) + 22*q(i). -2*i**2 Let q(t) = -11*t - 4. Let c(x) = -23*x - 9. Calculate -6*c(f) + 13*q(f). -5*f + 2 Let k(s) = -2*s**2 - 4*s - 3. Let b(h) = -h**2 + 4*h + 2. Let n be b(3). Let m(t) = -3*t + 3 - n*t**2 + 3*t**2 - 5. What is -3*k(u) + 4*m(u)? -2*u**2 + 1 Let r(u) be the second derivative of 0 + u - u**2 + 1/2*u**3. Let h(j) = -3*j - 3 + 0 - 2 + 10*j. Calculate 4*h(g) - 10*r(g). -2*g Let v(s) = -5*s + 12. Let r(l) = 4*l - 11. Determine 4*r(o) + 3*v(o). o - 8 Let x(f) be the second derivative of -f**4/6 + 3*f**2/2 + 2*f. Let m(t) = 4*t**2 - 7. Suppose -5*l - 1 + 16 = 0. What is l*m(p) + 7*x(p)? -2*p**2 Let q(u) = -u + 12. Let v(d) = -d + 12. Give -6*q(s) + 7*v(s). -s + 12 Let a(u) = 14*u**2 + 2*u. Let w(p) = -p**3 + p**2 + p + 1.
{ "pile_set_name": "DM Mathematics" }
- 2296*p**2. p**3 - 2296*p**2 + 1 Collect the terms in 1430042*v - 61 + 129 - 10*v**2 - 68 - 1430042*v. -10*v**2 Collect the terms in -130*i**3 - 169*i**3 - 138*i**3 - 41*i**3. -478*i**3 Collect the terms in -208*z + 0*z**2 - 137*z**2 + 179*z. -137*z**2 - 29*z Collect the terms in 2375 - 39*q**3 + 5933 + 131*q**3 - 32*q**3 - 31*q**3 - 28*q**3. q**3 + 8308 Collect the terms in 125846*z**3 - 63034*z**3 - 63097*z**3 + 2*z**2. -285*z**3 + 2*z**2 Collect the terms in 5 + 4972*f - 5 - 4976*f - 10 + 9. -4*f - 1 Collect the terms in 792356 + 663510 + 420759 - 4*a. -4*a + 1876625 Collect the terms in -4*y**2 - 4*y**2 + 5891587*y + 8*y**2 - 5891586*y + 8*y**3. 8*y**3 + y Collect the terms in -561561 + 187182 + 187192 + 63*u**2 + 187184. 63*u**2 - 3 Collect the terms in 0*v**2 - 39*v**3 + 0*v**2 + 70672 + 40*v**3. v**3 + 70672 Collect the terms in 2214*b**2 + 2289*b**2 - 6765*b**2 + 2266*b**2. 4*b**2 Collect the terms in -729*b**2 - 953*b**2 + 1758*b**2. 76*b**2 Collect the terms in 703*d - 2764*d + 2061*d + 2*d**2. 2*d**2 Collect the terms in 4133 - 2*b**2 + 4*b**2 - 110*b**3 - 2*b**2. -110*b**3 + 4133 Collect the terms in -12611*q**2 + 6871*q**2 + 6527*q**2. 787*q**2 Collect the terms in 11*p**2 + 265*p**2 - 4358862*p + 4358862*p. 276*p**2 Collect the terms in 272*x + 268*x - 787*x + 247*x + 23*x**2. 23*x**2 Collect the terms in -497 - 108*a**2 - 84*a**2 + 497 - 190*a**2. -382*a**2 Collect the terms in -2 - 3*g**2 + 3859*g**3 - 2963*g + 2994*g + g**2. 3859*g**3 - 2*g**2 + 31*g - 2 Collect the terms in 26*g + 40 - 84 + 46 - 16*g**2 + 30*g. -16*g**2 + 56*g + 2 Collect the terms in -169*d**2 + 177*d**2 - 54471*d + 54471*d. 8*d**2 Collect the terms in 110005*l**3 + 3742934*l**3 - 11*l + 11*l. 3852939*l**3 Collect the terms in 12814*y**2 - 32169*y**2 + 126693*y**2. 107338*y**2 Collect the terms in y**3 + 1946*y**2 + 38*y + 40*y - 80*y. y**3 + 1946*y**2 - 2*y Collect the terms in 28716*b - 57422*b + 28706*b + 2974*b**3. 2974*b**3 Collect the terms in -4*s - 20983600365 + 20983600365. -4*s Collect the terms in 395356*u - 197811*u - 197548*u. -3*u Collect the terms in -409042 - 408802 + 5*j**3 + 817844 + 0*j**2 + 0*j**2. 5*j**3 Collect the terms in 55*x**2 + 44*x**2 + 2 - 359*x**2 + 53*x**2 + 51*x**2 + 88*x**2 + 53*x**2. -15*x**2 + 2 Collect the terms in -8*n + 9*n + 3 - 5 + 2*n + 10798*n**2. 10798*n**2 + 3*n - 2 Collect the terms in -224*a**2 - 293*a**2 + 513*a**2 + 28. -4*a**2 + 28 Collect the terms in 342895 - 342895 + 39*o**3. 39*o**3 Collect the terms in 20*x + 60*x**3 - 29*x - 26*x**3 + 81*x**3 + 27*x**3. 142*x**3 - 9*x Collect the terms in -11404*p**2 + 2*p + 23238*p**2 - 11894*p**2. -60*p**2 + 2*p Collect the terms in -24670*d + 29*d - 45459*d - 69150*d + 2083*d. -137167*d Collect the terms in -2 + 19058*r + 4 - 5 + 2. 19058*r - 1 Collect the terms in -10*m**2 + 2971*m - m**2 + 0*m**2 + 6*m**2 - 5*m**2. -10*m**2 + 2971*m Collect the terms in 562*n**3 + 932*n**3 - 1730*n**3. -236*n**3 Collect the terms in 637 + 674 - 1311 + 40022*j. 40022*j Collect the terms in 255*n**3 - 79*n**3 + 651 - 729. 176*n**3 - 78 Collect the terms in -22*t**3 + 267822*t**2 - 133944*t**2 - 133879*t**2. -22*t**3 - t**2 Collect the terms in -161 + 8*p**2 - 625314*p + 625314*p + 161. 8*p**2 Collect the terms in 644*o**2 + 13476 + 13476 - 643*o**2 - 26913. o**2 + 39 Collect the terms in 6405*d - 3436*d - 3312*d. -343*d Collect the terms in -256*h + 3 - 177*h - 147*h + 277*h**2 - 3. 277*h**2 - 580*h Collect the terms in -1403*u**3 - 1415*u**3 + 4220*u**3 - 1410*u**3 + 2*u**2 - 2*u**2. -8*u**3 Collect the terms in 149*v**3 - 327*v**3 + 176*v**3 + 8 - 21*v. -2*v**3 - 21*v + 8 Collect the terms in -3919 - 564 + 1296 - 3503 + z**2. z**2 - 6690 Collect the terms in 0 - 8 - 49*u + 34*u + 6 - 227*u + 0*u. -242*u - 2 Collect the terms in 51*y**2 + 247 - 17 + 7 - 4*y**2. 47*y**2 + 237 Collect the terms in -18699*b**2 - 4248*b**2 - 11453*b**2 - 1002*b**2. -35402*b**2 Collect the terms in 1291*z - 513 + 261 + 251. 1291*z - 1 Collect the terms in -14*h + 583*h - 296*h - 283*h. -10*h Collect the terms in 7*f**2 + 8*f**2 - 23*f - 16*f**2 + 114 + 27*f. -f**2 + 4*f + 114 Collect the terms in -208 - 209 + 417 - 2313*h**2 + 2319*h**2. 6*h**2 Collect the terms in 58*p - 146*p + 148*p**3 + 70*p - 5217*p**3. -5069*p**3 - 18*p Collect the terms in -155*s + 99899676 - 99899676. -155*s Collect the terms in 11820 - 23643 + 11823 + 96*q. 96*q Collect the terms in -2 - 2 + 4 + 104871*g - 795*g**3 - 104871*g. -795*g**3 Collect the terms in -12 - 235*p + 44 - 9 - 8 - 11. -235*p + 4 Collect the terms in -17 - 40284*i + 28 - 14037*i - 11. -54321*i Collect the terms in -2*m**2 + 1869 - 4524 - 68*m**3 + 2655 + 2*m**2. -68*m**3 Collect the terms in 6103*i**2 + 79 + 82 + 2989*i**2 - 161. 9092*i**2 Collect the terms in 255*d**2 + 73*d**2 - 123*d**2 + d**3 - 1656*d**2 - 990*d**2. d**3 - 2441*d**2 Collect the terms in -20 - 1007388*d**3 - 15 + 35. -1007388*d**3 Collect the terms in -111*x + 74*x + 25051 - 25010 - 100*x. -137*x + 41 Collect the terms in -1129*g + 1129*g - g**3 - 2 + 88*g**2. -g**3 + 88*g**2 - 2 Collect the terms in -8310*v**3 + 19 - 8357*v**3 + 16665*v**3. -2*v**3 + 19 Collect the terms in -1122 - 2495*a + 275 + 223*a. -2272*a - 847 Collect the terms in -4*j**2 + 6*j + j - 51*j + 22*j - 9*j + 31*j. -4*j**2 Collect the terms in 47236*k**3 - 37727*k**3 + 53909*k**3 + 25678*k**3. 89096*k**3 Collect the terms in 7 - 45 + 18 + 14 + 11*l + 7. 11*l + 1 Collect the terms in 13640278704*d**2 - 13640278704*d**2 - 139*d**3. -139*d**3 Collect the terms in -324*o**2 - 309*o**2 + 1888*o**2 - 310*o**2 - 292*o**2 - 313*o**2 - 312*o**2. 28*o**2 Collect the terms in 39*m + 34*m + 7*m + 41*m - 112*m. 9*m Collect the terms in -38 + 42 - 201*r**2 - 4. -201*r**2 Collect the terms in -43 + 4 - 123*b + 73 - 34. -123*b Collect the terms in 1428*t**2 + 10*t**3 + 58*t + 1429*t**2 - 2857*t**2. 10*t**3 + 58*t Collect the terms in 28 + 18*w + 22 - 83. 18*w - 33 Collect the terms in 15423 - 4263 + 2064 - t + 3686. -t + 16910 Collect the terms in 2087*d**2 - 1958*d**2 + 16286*d**2 + 33165 - 33165 - 746*d**2. 15669*d**2 Collect the terms in 557669*y**3 - 169789*y**3 + 15 - 15. 387880*y**3 Collect the terms in 110748620*p**3 - 36915981*p**3 - 36916308*p**3 - 36915886*p**3. 445*p**3 Collect the terms in -127*x + 11*x**3 - 41*x**3 - 5 + 5 + 28*x**3. -2*x**3 - 127*x Collect the terms in -j - 75185284983 + 75185284983. -j Collect the terms in 20 - 47 - 68*y**3 + 27 + 65*y**3 + 16*y**3. 13*y**3 Collect the terms in -132*i**2 - 159*i**2 + 49 + 53 + 313*i**2 - 96. 22*i**2 + 6 Collect the terms in 2*d - 3*d**2 - 30 + 3*d - 11*d**2 - 4*d - 7*d. -14*d**2 - 6*d - 30 Collect the terms in 815*c**3 - 4661*c**3 + 161*c**3 - 4151*c**3. -7836*c**3 Collect the terms in 399972*v**2 - 10 + 399928*v**2 + 399969*v**2 + 10 - 1199920*v**2. -51*v**2 Collect the terms in 263592*p - 790864*p + 263590*p + 263679*p. -3*p Collect the terms in -13 + 13 + 1237057*o**3. 1237057*o**3 Collect the terms in 291*q - 57*q - 52*q - 61*q - 65*q - 173 - 57*q. -q - 173 Collect the terms in -365*l + 193*l + 124*l + 157*l. 109*l Collect the terms in -467*s**3 + 421*s**3 - 46*s**3 - 4*s**2 + 6*s**2 - 2*s**2. -92*s**3 Collect the terms in -5295*k + 5*k**3 + 2649*k - 678*k**2 + 678*k**2 + 2646*k. 5*k**3 Collect the terms in 524510 - 524623 - a + 2*a. a - 113 Collect the terms in -2 - 179077*o - 6 + 59694*o + 59693*o + 59696*o. 6*o - 8 Collect the terms in -273*j - 59*j - 14 + 101*j. -231*j - 14 Collect the terms in -120*p**3 - 1098*p**2 + 614*p**2 + 484*p**2. -120*p**3 Collect the terms in 157*j**2 + 132*j**2 + 39*j**2 - j**3. -j**3 + 328*j**2 Collect the terms in 0*g**2 + g**2 + 3 + 6516*g - 5212*g - 17773*g. g**2 - 16469*g + 3 Collect the terms in -a**2 - 9970 + 5107 - 18*a + 18*a + 4709. -a**2 - 154 Collect the terms in 242989777*c**2 - 485979416*c**2 + 242989641*c**2. 2*c**2 Collect the terms in -5*f - 144 + 58*f**2 - 143*f**2 + 79*f**2. -6*f**2 - 5*f - 144 Collect the terms in 1187*g - 1723*g + 533*g. -3*g Collect the terms in 6*z + 5*z + 9044 - 12*z + 264 - z. -2*z + 9308 Collect the terms in r**2 + 4320*r**3 + 4075*r**3 - 8403*r**3 - r**2. -8*r**3 Collect the terms in -1268 - 1725 + 9*g - 60*g + 2993. -51*g Collect the terms in -12065 - 254*c**3 - 12077 + 36214 - 12072. -2
{ "pile_set_name": "DM Mathematics" }
r**(-4))**40)**(-5/4) assuming r is positive. r**(-3177/16) Simplify a**(-25)/((a**33/a)/a)*(((a*a/a**(-8)*a*a)/a*a)/a)**(3/2) assuming a is positive. a**(-79/2) Simplify ((h**(-1/2)/h)**(-6/11))**(-9)*(h**(-9)/(h/(h**(-3)/h)))**(6/17) assuming h is positive. h**(-2301/187) Simplify ((h/(h*(h/((h/(h**(-5)/h))/h)*h)/h)*h)/h**(2/19)*(h/(h*h**(-1)))**(-5/16))**(3/5) assuming h is positive. h**(5091/1520) Simplify ((n**1*n)**28*(n*n/(n/(n**(-6/7)*n)*n))/((n/n**7)/n))/(n/n**3*n**3*n**(-5)/n*n**(-1/2)) assuming n is positive. n**(961/14) Simplify ((c**(-2/5)/c)**(1/9)/((c/c**(5/3))/(c*c**(1/4)*c)))**46 assuming c is positive. c**(11431/90) Simplify ((j/(((j/j**(-2/5))/j*j)/j))**(16/3)*((j/((j/(j*j/j**1))/j))/j)/j**0)/((j**(1/3)/j*j**0)/(j**(-2/3)/(j/j**(-1/3)))) assuming j is positive. j**(43/15) Simplify n**(-3)/(n/n**(3/5))*(n/n**(-1))**37*(((n*n*n*n**(-1)*n)/n)**(1/8))**(-1/9) assuming n is positive. n**(12703/180) Simplify (y**(2/7)*y/((y**7/y)/y*y))/(((y*y**(-6)/y)/y)/y*y*y**(2/13))*((y**3)**(-2/191))**(3/10) assuming y is positive. y**(184451/86905) Simplify (q**(3/7)*q*(q/(q/(q**(-1)*q)*q*q))/q*q)**42/((((q/(q/q**(-7)))/q)/(q/((q/(q/(q**(5/6)/q)))/q)))/(q*q**(4/7)*q**(-1))) assuming q is positive. q**(-557/42) Simplify ((n**3)**(-1/2))**(25/4)*n**3*n**(-2/7)*n/(n/(n*n**(-7)))*n**(-2/17) assuming n is positive. n**(-12165/952) Simplify d**(-2)/d**2*(d**(-2))**32*((d/d**(-2/3))/d)**(2/39)*d*d**(-5)*d**7 assuming d is positive. d**(-7601/117) Simplify (w**(-1/41)*w)/(w/w**44*w)*(w/(w*w*w*w**(-1/7)/w*w))**(1/10) assuming w is positive. w**(122807/2870) Simplify (s*(s/(((s**(-6)*s)/s)/s))/s*(s**(-12)/s)/s*s*(s/(s*s**(-15)*s))/(s**14*s))**(-2/25) assuming s is positive. s**(12/25) Simplify (p**(-34/5)*p**(-30)*(p/(p**(-35)*p))**(-4/3))**12 assuming p is positive. p**(-5008/5) Simplify ((o**(2/7))**0*o**(-4)/((o**(1/3)*o)/o*o))/(o/(o/o**(2/11))*o*o*o**(2/15)*(o*o/(o/o**(2/5))*o*o)**(-12)) assuming o is positive. o**(1094/33) Simplify (((y**(1/27)/y)/((y**(2/65)*y)/y))/(y*y**10*y*y)**(-25))**(-1/57) assuming y is positive. y**(-568631/100035) Simplify (l/(l*l**(-6)*l*l)*l*l**9/l)/((l/l**8)/l**(-8/5))*(l/((l*l**(-2/25))/l)*l*l/(l*l**(5/4)/l))/((l/(l*l**(1/2)))/(l**(-3/11)*l)) assuming l is positive. l**(23603/1100) Simplify (((s**(-1)/s)/s)/s*s**6)/(((s/((s**(-2/5)*s*s)/s*s))/s)/s)**2*((s**(3/8)/s)/s**1)**31 assuming s is positive. s**(-1727/40) Simplify ((d**(-9)*d*d*d**8/d)/(d**(3/5)*d)**(-44))**(1/52) assuming d is positive. d**(88/65) Simplify ((j**(-1/2))**(-11))**(-2/5)*((j/j**(-2/27))/j*j/(j/(j**(-10)*j)))**45 assuming j is positive. j**(-6058/15) Simplify ((p**5)**(-21))**(-42)*(((p/(p*p**8))/p)/((p*((p*p*p/(p*(p**1*p)/p*p)*p)/p)/p)/p))**(2/7) assuming p is positive. p**(30854/7) Simplify ((n**(10/3))**(-24)/(n/n**32*n/n**(-9/7)))**(-2/13) assuming n is positive. n**(718/91) Simplify ((b*((b*b*(b*b**(-7))/b*b*b*b)/b)/b)/b**(-2/17))**(-2)*((b*b**(-2/7))/(((b**(-6)/b)/b)/b))/(b**(2/15)/(b*b**4)) assuming b is positive. b**(36317/1785) Simplify (s/(s*s*s/(s**9/s)*s))**(1/23)*(s/(s*s**(-21)*s))/s**24 assuming s is positive. s**(-87/23) Simplify (y**(-2/15)*y**(1/5))**21*((y**(3/4)*y)/y*y*y/(y*y**(-5)))/(y**(-2))**(-9) assuming y is positive. y**(-197/20) Simplify t/(t*(t*(t*(t*t**1)/t)/t*t*t)/t)*t**(-4)*t*t/t**(3/7)*t**5/t*(t**1)**(-1/24)/((t/t**(1/3))/(t/t**1)) assuming t is positive. t**(-359/168) Simplify ((q/(q/q**(-8/7)))/q**(-1/13)*(q*q*q**(1/3)*q)**(29/2))/(((q/(q**5/q*q))/(q*q/q**(3/7)*q*q))/(q**(-7)/q**(-1/3))) assuming q is positive. q**(13151/273) Simplify (h**1)**(-2)*h*(h*h*h/(h*h**(-5)/h))/h*h*h**(2/7)/h*(h*h**(-1))/(h/(((h/(h/(h**3*h)))/h)/h))*(h/(h/(h/(h**(1/4)*h))))**21 assuming h is positive. h**(57/28) Simplify ((j*j**(3/4)/j)/(j*(j**3*j)/j*j*j)*(j*j**0*j)/(j/(j*j*j**4*j)*j))/((j*j**(-2/3))**1/(j/(j*j**(-2/9))*(j/j**7)/j)) assuming j is positive. j**(-193/36) Simplify ((k*k**2*k)**(-5/2)*((k/k**7)/k)/(k*k**(1/2)))**(-49) assuming k is positive. k**(1813/2) Simplify (j**(-21)/(j**(-14)*j)*(j**(-7/4))**36)**(-32) assuming j is positive. j**2272 Simplify (m**1/m)**33/((m*m**(6/19))/m*m**16) assuming m is positive. m**(-310/19) Simplify (t**5/(t/t**(-1/5))*t*t**(1/4)*t*t**2)/((t*t*(t**(1/3)*t*t)/t*t)**(-2/65)/(((t**(-1/9)*t*t)/t)/(t/(t**(-4)/t)))) assuming t is positive. t**(553/180) Simplify (n**(-21)*n/(n*n**(5/7))*n**13/(n*n/(n/((n*n*n**(-1/9)*n*n)/n))))**(2/151) assuming n is positive. n**(-1588/9513) Simplify (w/(w*w**(3/4)*w))/w*w*w**(-2)/w*(w**(2/7)*w)**38*((w**(1/3)/w)/(w*w/(w**1*w)))**(-6/7) assuming w is positive. w**(1251/28) Simplify ((q**(-1)*q**8)/(q**(-1/13)*q*q*q**(2/43)*q))**(-43) assuming q is positive. q**(-2253/13) Simplify (c*c/c**(1/3))**3/(c**1)**(4/5)*(c**(2/5))**36/(c**(2/17)*c**(-1)) assuming c is positive. c**(1656/85) Simplify ((s**(-1/2)/s**(-2/55))/(s**(-5)*s**6))**(-5/3) assuming s is positive. s**(161/66) Simplify ((u**(-2/3))**(-1/28)/((u**6/u)/((((u*u**(-2/9)*u*u)/u)/u)/u)))/((u/u**(-2/9))/((u/(u/u**4))/u))**(-3/5) assuming u is positive. u**(-3947/630) Simplify ((n**(-1)/n)**16/((n*n/n**16)/((n/(n*n**25))/n)))**34 assuming n is positive. n**(-1496) Simplify (((i/(i**(-1/4)/i))/i)**(-11/4))**(2/63)/((i**(-3)/i**(-1/3))/(i**4/i**(-4))) assuming i is positive. i**(5321/504) Simplify (t**(1/4)*t*t**(2/9)*t**(-3)/t**(2/9))/((t/((t/((t*t/t**(3/4))/t*t))/t*t*t*t*t*t*t))/t**(-4))**(-15/8) assuming t is positive. t**(-41/32) Simplify (p**(3/4)*p*p/(((p*p**(-13))/p)/p)*p*p**(-9)*p**(-2/61)*p)**(-14/9) assuming p is positive. p**(-16597/1098) Simplify ((i*i*i**(-2))**(-12)*i**13*i*i**(1/4))**14 assuming i is positive. i**(399/2) Simplify ((y/y**(-2/3))**(-14/3)/(y**(-6)/((y/(y**(-2)*y))/y)))/((y/((((y/(y/(y*y**(2/7)*y))*y)/y)/y)/y)*y)/y**1*y**0*((y/y**1)/y*y)/y) assuming y is positive. y**(-31/63) Simplify (p/p**(-2/7)*p**2)**(-24/13)/((p**6*p)/((p/((p*p**(-1/5)*p)/p))/p)*(p**(-2/3)*p)/p*p*p**(-2)) assuming p is positive. p**(-16652/1365) Simplify ((m**(-13)/m)**(-4)/(m**(-2/9)*m*m)**35)**(-5/4) assuming m is positive. m**(70/9) Simplify ((y**(-1)*y)**17/(y**21*y**(-1/3)))**(-48) assuming y is positive. y**992 Simplify ((d/(d*d/(d/(d*d*d**(3/4))))*d**0)/(d**(2/3)/((((d*d/(d**0*d)*d)/d)/d)/d*d)))/((d**(-2))**29)**(-7) assuming d is positive. d**(-4913/12) Simplify (r**(1/13)/r*r*r**0)**(14/3)*((r**1*r)**(-4/11))**(-21) assuming r is positive. r**(6706/429) Simplify (v*v**2)**13*(((v**(-8)*v)/v*v)/v)/v*v**(1/4)*v*(v**7/v)/(v*v/(v*v**2))*(v/v**(-1/4))/((v*v/v**(-2/13)*v)/v) assuming v is positive. v**(971/26) Simplify ((((m**(1/4))**(2/59))**(2/11))**(2/51))**(-38) assuming m is positive. m**(-76/33099) Simplify ((s*s**(-7)*s)/s)**(-3/8)/(s*s**(7/4)*s**14) assuming s is positive. s**(-29/2) Simplify (z/(z*(z**0/z)/z))**(1/27)*z**(2/5)/(z*z/((z/z**(-1/2)*z)/z))*z**(1/4)*z**0*(z/(z**(-1/2)*z))**(-4/5) assuming z is positive. z**(-19/108) Simplify ((y*(y/y**(-2/17))/y*y)**(3/17)*y*y/(((y/(((y*y**(-2/5)/y)/y)/y*y*y))/y)/y)*y**(4/5))**(1/42) assuming y is positive. y**(779/8670) Simplify (f*f**(-11)*f*f**(-1/3))**(-15/2)*(((f*f/f**(-2))/f)/f)**8*(f*f**(-3)/f)/(f/(f*(f**(-5)/f)/f*f*f)) assuming f is positive. f**78 Simplify (f*f**(-6/11)*f**(2/7))**(-3/25)/((f*f**(-1/5)*f)/f**4)**25 assuming f is positive. f**(105704/1925) Simplify ((l/l**(-10))/((((l/(l*l**(-16)*l)*l)/l)/l)/l)*l*l**(-44)*l*l/((l**2*l)/l)*l*l)**(-17) assuming l is positive. l**731 Simplify (((d*d*d/(d*d**(-8)))/d*d**1)/(d**(-12/5)*d*d/((d/(d*d**(-1/3)*d))/d)))**(-1/3) assuming d is positive. d**(-131/45) Simplify ((o*o/(o*o**4/o))**(10/7)/(o**6)**(19/3))**(-10/7) assuming o is positive. o**(2860/49) Simplify (j**12/j**(-2/17))**(-44)*(j/(j/((j*(j*j**(3/8))/j*j)/j)*j)*j**(1/3))**(4/3) assuming j is positive. j**(-162863/306) Simplify ((y*y**(-2))**(-6/11))**31/(((y*y**(-1/4)/y)/y*y**4/y)/(y/(y*y**(-1)))**(-2/37)) assuming y is positive. y**(24591/1628) Simplify r/r**(-1/4)*r*r/r**(-9)*(r**(-2/3)*r)**(-24)*r/(r*r**(2/21)*r)*r*r/r**(-4/7)*(r/(r**(-2/7)/r))/((r/r**(-3/4))/r) assuming r is positive. r**(305/42) Simplify (s**(-2))**(-16)/(s**(-3/4)*(s**6/s*s*s)/s)*((s**(-1/11)/s)/((s*s*s**(3/4))/s))/(s*s/(s**(1/2)*s)*s/s**(1/2)) assuming s is positive. s**(252/11) Simplify (((z*z**(-3/4))/z)/(z**(1/8)/z))**(1/11)*z/((z/z**(1/2))/z*z)*z**(-9)*z**2*z**4
{ "pile_set_name": "DM Mathematics" }
r of q and 28. 14 Let o(l) = -3*l + 24. Let m be o(6). Calculate the greatest common factor of 2 and m. 2 Suppose 59 = 4*l + 3. Suppose b + f + 104 = 0, 0 = 2*b + 3*f + 189 + 14. Let r = b - -221. What is the highest common factor of l and r? 14 Let n(q) = -q + 10. Let y be n(8). Suppose 0*f - 32 = -y*f. Let k be (-3*1)/(3/(-4)). Calculate the greatest common divisor of f and k. 4 Suppose 57 = a - 2*i, 60 = -2*a + 3*a - 5*i. Calculate the highest common factor of a and 22. 11 Suppose 0 = 2*f + 3*f + 60. Let c be (4*-2)/(-4) - f. What is the greatest common factor of c and 98? 14 Let x = 147 + -102. Calculate the greatest common factor of x and 15. 15 Let s = -13 + 23. Let j(g) = -17*g - 9. Let x be j(-7). Let i be (x/(-8))/(3/(-24)). Calculate the highest common divisor of i and s. 10 Let p be 228/10 + (-4)/(-20). Calculate the highest common divisor of 23 and p. 23 Let r(l) = l**2 + 5*l + 4. Let h be r(-6). Calculate the greatest common divisor of 10 and h. 10 Suppose -4*b + 2*b + 8 = 0. Suppose -3*z - 13 = -b*z. Calculate the greatest common factor of 65 and z. 13 Let l = -76 - -106. Calculate the greatest common factor of l and 20. 10 Suppose -y - 36 = -4*y. What is the highest common factor of 6 and y? 6 Suppose 5*d - 3*c = 2*c + 205, 3*c - 129 = -4*d. Suppose p - d - 48 = 0. Let r be (0 - -1) + (p - 5). Calculate the greatest common divisor of 10 and r. 10 Let w = 3 + 1. Suppose 1 = s + 3*o, -w*o = -0*s + 4*s - 28. Suppose -2*n = -5 - 5. Calculate the greatest common divisor of s and n. 5 Let z(r) = r**3 + 5*r**2 + 3*r. Let b be z(-4). Suppose -b*o + o + x + 25 = 0, -2*o = 3*x - 2. What is the greatest common divisor of 49 and o? 7 Suppose -2*k = 26 - 102. Suppose -292 = -h + k. Suppose h = z + 4*z. What is the greatest common factor of z and 6? 6 Let q(c) = 4*c**2 + 2*c + 2. Let y be q(-2). Let w be 2 + (-7)/((-7)/2). Suppose 0 = w*k - 51 - 173. What is the highest common factor of y and k? 14 Suppose -2*l - 2*f + 180 = -7*f, 0 = -4*f. Calculate the highest common divisor of l and 225. 45 Suppose o + 0 = 2. Let z = o + -2. Let r be 1 + z + 7 - 0. Calculate the greatest common factor of 8 and r. 8 Let b be (-4)/1 - -2 - 13. Let l = -8 - b. Suppose -11 = -h - 4*a + 42, -44 = -h + 5*a. Calculate the highest common factor of h and l. 7 Let x(w) = w + 5. Let d = 0 - -1. Let z be ((-1)/2)/(d/6). Let y be x(z). Calculate the greatest common divisor of 2 and y. 2 Let w = -105 - -128. Calculate the greatest common factor of w and 253. 23 Let s = -12 + 16. Suppose g = 33 + 111. Suppose -u - 3*u + g = 0. Calculate the greatest common factor of u and s. 4 Let f(d) = d**2 - 2*d - 9. Let g be f(-9). What is the highest common factor of 10 and g? 10 Suppose 44 = z - 5*z + 4*g, 4*z + 2*g = -26. Let x = -5 - z. Calculate the greatest common factor of 2 and x. 1 Suppose 3*g + i = -193, -103 = g + 5*i - 20. Let f = g + 127. What is the highest common factor of f and 8? 8 Suppose -5*x = -10*x + 15. Suppose -2*u - 5*d = -17, -7*u - 3*d = -x*u - 27. What is the greatest common factor of 18 and u? 6 Suppose 19 - 181 = -3*q. What is the greatest common factor of 36 and q? 18 Let s(g) = -3*g + 4. Let f be s(4). Let p be (f/(-10))/((-18)/(-45)). What is the greatest common factor of 14 and p? 2 Let m(q) = q**2 + 5*q + 5. Let h be ((-2)/(-1))/((-1)/2). Let w = -9 - h. Let j be m(w). Calculate the greatest common factor of j and 1. 1 Let l(y) = -3*y + 1. Let m be l(-1). Suppose 14 = r - m. Calculate the highest common factor of r and 18. 18 Let k(q) = 3*q**3 - 3*q**2 + q - 2. Suppose -4 = -5*a + 6. Let s be k(a). Let c = 63 + -51. Calculate the greatest common factor of c and s. 12 Let v(f) = f - 2. Suppose 0 = -5*u - 10, 0*u + 22 = 2*n - 4*u. Let k be v(n). Let t = 42 + -2. Calculate the highest common factor of k and t. 5 Suppose 0 = 3*a + 53 - 77. Let t = 140 - 100. What is the highest common factor of t and a? 8 Let f be 135/(-18)*4/(-3). Suppose 2*c + 6 = 46. What is the highest common divisor of c and f? 10 Suppose g + i = -30, -3*i = -4*g - 0*g - 120. Let s be (2 - 1)*-1*g. What is the highest common divisor of 75 and s? 15 Let i(q) = q**3 + 7*q**2 + 2*q + 2. Let g be i(-3). Let o = 14 - -82. Calculate the greatest common divisor of g and o. 32 Let m be 2 - 4 - (-9 + 2). Suppose 3*b - 33 = 21. Suppose 2 = 2*u - b. What is the greatest common divisor of u and m? 5 Let s = -6 - -8. Suppose -l - 2*m + 20 = -4*l, 0 = -3*l + 4*m - 28. Let t be (-5 + 2 + 1)*l. What is the highest common factor of t and s? 2 Suppose -r - 2*r + 12 = 0. Suppose 3*y = 3*m + 2*m - 17, 16 = -r*y + 5*m. What is the highest common factor of 4 and y? 1 Let a(b) = b**3 + 11*b**2 + 9*b + 10. Let r be a(-10). Let q = -8 + r. Let i be (3/(-4))/((-1)/16). Calculate the highest common divisor of i and q. 12 Let v = -33 - -69. Calculate the greatest common factor of v and 12. 12 Suppose q - 3*n - 4 = 0, -q - 2*q + 56 = 2*n. Suppose 2*o + b - 130 = 0, -3*b = 3*o + 31 - 229. What is the greatest common factor of o and q? 16 Suppose 3*b + 42 - 162 = 0. Suppose 0 = 2*z + 10, 0*k - 4*z + b = 5*k. What is the highest common divisor of 2 and k? 2 Suppose -3*h + 27 = -0*h. Suppose 0 = -5*q + 66 + h. Let f = 26 - 16. Calculate the greatest common factor of q and f. 5 Suppose -3*o + 170 = 4*y, -o - 2*y + 2 + 56 = 0. Calculate the highest common factor of 27 and o. 27 Let a = -199 - -297. What is the highest common factor of a and 14? 14 Let y be (12/10)/(9/30). Suppose -y*z + 403 = 115. Suppose 2*s + 5*d = 28, 0*s - 5*d + 55 = 5*s. What is the highest common factor of s and z? 9 Let m = 0 + 4. Suppose -27 = -m*x - 7, -2*u + 5*x = 9. Calculate the greatest common divisor of 2 and u. 2 Let i(w) = w**3 + 10*w**2 + 9*w + 5. Let r be i(-9). What is the greatest common factor of 2 and r? 1 Suppose 0*n - 12 = -4*n. Let h be (-15)/6*(-24)/20. What is the highest common factor of h and n? 3 Suppose o - r = 4, 0*o - o + 10 = -4*r. Suppose 0 = o*g - 10 - 0. Calculate the greatest common factor of 40 and g. 5 Suppose 0 = 2*r - 4 - 14. What is the highest common factor of 1 and r? 1 Let p(o) = -o**3 - o**2 + 2*o - 2. Let x be p(-3). Calculate the greatest common factor of 40 and x. 10 Let h be (-1)/(-5) - 28/(-10). Suppose 6 = -5*t + h*d, 8 = 5*d - d. Suppose t = 6*r - 2*r - 60. Calculate the highest common factor of 135 and r. 15 Let y = -167 - -293. What is the greatest common divisor of y and 14? 14 Let v(d) = -d**3 + 2*d + 1. Let q be v(-1). Let z be q - 1 - (-2 + -153). What is the highest common divisor of z and 22? 22 Let b = 14 - 10. Suppose -j + 7 = 2*g, j - b*g = 6*j - 35. Calculate the greatest common divisor of j and 1. 1 Let c(i) = -i**2 + 8*i - i + i. Let q be c(8). Let u be 0 - ((-1 - q) + -32). What is the greatest common divisor of u and 3? 3 Let i(t) = 6*t**3 + t**2. Let z be i(1). What is the highest common factor of 14 and z? 7 Let o = 7 - 3. Suppose 0 = o*b - 282 - 210. Suppose -3*u + 5*w = -b, -u - 2*w + 66 = u. Calculate the greatest common factor of 24 and u. 12 Suppose 0 = -p - 3*j - 13, j = -0*p + 2*p - 2. Let n be (-3)/(p - 132/(-135)). Let r = -95 + n. What is the highest common divisor of 16 and r? 8 Suppose 0*h + 24 = 3*h. Let g be (-668)/(-12) - 5/(-15). Calculate the highest common factor of h and g. 8 Let n(i) = i**2 + 5*i - 29. Let r be n(-9). Calculate the greatest common factor of 3 and r. 1 Suppose 3*t + 192 = 7*t. Let z be (-4)/(2 + t/(-21)). Calculate the highest common factor of z and 112. 14 Suppose 2*x - 105 = -5*o, 0*x + 5*x - 3*o = 216. What is the highest common factor of 315 and x? 45 Suppose -2*p + 8 = 2. Suppose 0 = -4*x - 5 + 25. Suppose -t + x = -p. What is the highest common divisor of 56 and t? 8 Let g(w) = w - 1. Let q be g(3). Suppose 17 = p + 3. What is the greatest common factor of q and p? 2 Let s = 31 - 51. Let n(i) = -2*i**2 - 4*i + 1. Let f be n(3). Let d = s - f. Calculate the highest common divisor of d and 3. 3 Suppose -156 = 2*x - 6*x. Suppose 5*p = x + 1. Suppose 43 = 3*l + 3*k - 4*k, 5*k - 89 = -4*l. Calculate the highest common divisor of l and p. 8 Let s(r) = -r**3 + 8*r**2 + 2*r + 2. Let i be s(8). Calculate the highest common factor of 2 and i. 2 Suppose 3*k = 4*k - 36. Suppose 18 = 3*v + 2*d, 2*v - 55 = -3*v + 5*d. Let h = v - -46. What is the
{ "pile_set_name": "DM Mathematics" }
0*a + 1/168*a**6 + 0. Find f, given that i(f) = 0. -1, 2/5 Let y(d) be the first derivative of 50/3*d**3 + 24 + d - 5/12*d**4 - 250*d**2. Let l(g) be the first derivative of y(g). Factor l(a). -5*(a - 10)**2 Let t(k) be the first derivative of k**3 + 177*k**2 + 10443*k + 1099. Find o, given that t(o) = 0. -59 Determine a, given that -745*a**2 - 5940*a - 605 - 21600*a**3 - 2518*a**2 - 1620*a**2 - 8000*a**4 - 14097*a**2 = 0. -11/10, -1/4 Let c(k) be the first derivative of -21/2*k**2 - 36*k - 1/2*k**3 + 109. Factor c(l). -3*(l + 2)*(l + 12)/2 Let p(k) be the third derivative of -1/42*k**4 - 55*k**2 + 0 + 0*k**3 + 0*k + 1/84*k**5 - 1/840*k**6. Factor p(r). -r*(r - 4)*(r - 1)/7 Let l(u) = -7*u - 82. Let t be l(-12). Factor -34*x + 1429*x**t - 2*x - 1433*x**2. -4*x*(x + 9) Let h = -4 + 4. Let f be h + 0 - (23 + -25). Factor 5*t**2 - 7 - 5*t - 5 + f. 5*(t - 2)*(t + 1) Let f = -159677 - -159681. Suppose f*p**2 - 8 + 10/3*p + 2/3*p**3 = 0. Calculate p. -4, -3, 1 Let w(g) be the first derivative of -g**4/2 + 52*g**3/27 - 5*g**2/3 - 4*g/9 - 284. Find x, given that w(x) = 0. -1/9, 1, 2 Let n = 513 + -58. Let h = n + -450. Suppose 0 + 4/5*j**h - 16/5*j**2 + 24/5*j**3 - 16/5*j**4 + 4/5*j = 0. What is j? 0, 1 Let m(x) be the second derivative of -1/4*x**5 + 7 - 5/3*x**4 + 5/2*x**3 + 45*x**2 + x. Factor m(w). -5*(w - 2)*(w + 3)**2 Let -4/9*m**2 + 0 + 340/9*m = 0. Calculate m. 0, 85 Let n(d) = 3*d**4 - 114*d**3 - 636*d**2 - 554*d + 14. Let l(j) = 2*j**4 - 112*j**3 - 636*j**2 - 552*j + 12. Let r(k) = -7*l(k) + 6*n(k). Factor r(h). 4*h*(h + 1)*(h + 9)*(h + 15) Let i = 2363/2065 - 169/295. What is g in 0 - 4/7*g + 0*g**2 + i*g**3 = 0? -1, 0, 1 Let v = 7442/35 - 4838/35. Solve -498/5*j**2 + v*j - 72/5 + 3*j**3 + 15*j**4 = 0 for j. -3, 2/5, 2 Let u(n) be the first derivative of -61 - 158/3*n**3 + 67/2*n**2 - 72/5*n**5 + 3/2*n**6 + 41*n**4 - 10*n. Let u(x) = 0. What is x? 1/3, 2/3, 1, 5 Let t be -2*((-6)/11 + 527/1309). Suppose 4/7 - 2/7*c**2 - t*c = 0. Calculate c. -2, 1 Let c(r) be the second derivative of 18*r - 7/4*r**3 + 11/2*r**2 + 2 + 1/160*r**5 + 3/16*r**4. Determine x, given that c(x) = 0. -22, 2 Suppose 4*n + 4*y - 52 = 0, -58*y + 55*y + 21 = -3*n. Solve 30/7*x - 9/7*x**2 - n = 0. 1, 7/3 Suppose 0 = -11*c + 53 + 2. Let 3*r**2 + 6*r + r**2 - 7*r - 2*r**4 - 2 + 0*r**4 - r**c + 2*r**3 = 0. What is r? -2, -1, 1 Let n(a) = -20*a**3 + 915*a**2 + 3660*a + 3690. Let z(v) = -17*v**3 + 912*v**2 + 3660*v + 3688. Let x(o) = -4*n(o) + 5*z(o). Factor x(q). -5*(q - 184)*(q + 2)**2 Factor 320*x + 369*x**2 + 324 + 375*x**2 - 1126*x**2 + 378*x**2. -4*(x - 81)*(x + 1) Suppose 1/3*x**3 - 16/3*x + 1/3*x**2 + 20/3 = 0. What is x? -5, 2 Suppose s = -5*i, -7*i - s = -8*i + 12. Factor -2*j + 1/3*j**i + 5/3. (j - 5)*(j - 1)/3 Let o(w) be the second derivative of 7/4*w**3 + 25/48*w**4 + 1/20*w**5 - 2 + 27*w + 9/8*w**2. Factor o(l). (l + 3)**2*(4*l + 1)/4 Suppose 8*k**3 - 5126*k**2 - 5*k**3 - 783 + 4877*k**2 - 1035*k = 0. Calculate k. -3, -1, 87 Let -2/7*f**5 - 8/7*f + 10/7*f**3 - 6/7*f**4 + 30/7*f**2 - 24/7 = 0. What is f? -3, -2, -1, 1, 2 Suppose -4*j - 4 + 114 = 2*l, -l = -j + 35. Solve -29*w**3 - j*w**4 + 2*w**5 - 295 - 8*w**3 + 5*w**3 + 295 = 0. -1, 0, 16 Let v(g) be the first derivative of g**6/120 + 3*g**5/80 + g**4/24 + 59*g + 23. Let y(c) be the first derivative of v(c). Factor y(p). p**2*(p + 1)*(p + 2)/4 Let b(t) be the second derivative of t**3 + 4 + 2*t**2 + 11*t + 1/6*t**4. Factor b(r). 2*(r + 1)*(r + 2) Let k(j) be the first derivative of 0*j + 1/6*j**6 + 171 - 5/6*j**3 + 0*j**4 + 1/2*j**5 - 1/2*j**2. Let k(v) = 0. Calculate v. -2, -1, -1/2, 0, 1 Let h be (-25)/20*(-48096)/8350. Suppose -h*y - 2/5*y**2 - 162/5 = 0. What is y? -9 Let k(g) be the first derivative of 10*g**6/9 + 116*g**5/15 + 15*g**4 - 20*g**3/9 - 100*g**2/3 - 32*g + 2849. Find q, given that k(q) = 0. -3, -2, -1, -4/5, 1 Let o(k) be the first derivative of -24*k**2 - 5 + 4/3*k**3 + 80*k. Factor o(x). 4*(x - 10)*(x - 2) Let g(n) = 3*n**2 - 3184*n + 849048. Let x(a) = a**2 - 1061*a + 283015. Let o(q) = 3*g(q) - 8*x(q). Factor o(m). (m - 532)**2 Let v(g) be the first derivative of -64 - 6/7*g**2 - 3/14*g**4 + 11/7*g**3 - 15/7*g. Find o, given that v(o) = 0. -1/2, 1, 5 Determine p so that 105/2*p - 5/4*p**2 + 110 = 0. -2, 44 Factor 3993971 + 3330840 + 11004*i + 3*i**2 + 2765857. 3*(i + 1834)**2 Let y be (25 - 24)/((9/6 + -2)*166/(-249)). Find q, given that 1/6*q**3 - 100/3 + y*q**2 + 10*q = 0. -10, 2 Let q be (4/(160/(-45)))/((-18)/(-96)*-4). Factor 3/2*g + q + 3/8*g**2. 3*(g + 2)**2/8 Let f(q) be the second derivative of q**6/120 + 3*q**5/160 - 11*q**4/32 + 13*q**3/48 + 15*q**2/16 + 3206*q. Solve f(t) = 0. -5, -1/2, 1, 3 Let x be 3808/2720 - ((-4)/10)/(2/3). Let 0 + 1/6*j**3 - j**x + 3/2*j = 0. Calculate j. 0, 3 Let h(p) be the first derivative of -3/7*p**4 - p**2 - 1/35*p**5 + 75 + 1/21*p**6 + 22/21*p**3 + 3/7*p. Factor h(c). (c - 1)**3*(c + 3)*(2*c - 1)/7 Let s(z) = -13*z**2 + 108*z - 1287. Let x(f) = 7*f**2 - 52*f + 643. Let w(r) = -5*s(r) - 9*x(r). Factor w(u). 2*(u - 18)**2 Let g(n) be the second derivative of 7*n**5 + 2/21*n**7 + 49/3*n**4 - 26/15*n**6 - 6*n + 0*n**2 + 1 + 0*n**3. Factor g(o). 4*o**2*(o - 7)**2*(o + 1) Let x(y) be the first derivative of -7/12*y**3 - 3/8*y**2 + 19 + 0*y - 5/16*y**4 - 1/20*y**5. Factor x(g). -g*(g + 1)**2*(g + 3)/4 Find h, given that 0*h**3 - 93/4*h**4 + 0*h**2 + 0 + 3/4*h**5 + 0*h = 0. 0, 31 Suppose -93*n - 119*n + 2*n**2 - 96 - 345 - 105 + 114 = 0. What is n? -2, 108 Let i = 1104607/1472820 + 2/368205. Factor -i*n**3 + 0*n + 1/4*n**5 + 0*n**4 + 0 - 1/2*n**2. n**2*(n - 2)*(n + 1)**2/4 Let n be (2/(-4))/(2 - 52/24). Suppose -4*r - r = -5*g - 85, -13 = -r + n*g. Determine c so that -r*c + 2*c**2 + 11*c + 12*c - 6*c**2 = 0. 0, 1 Determine h, given that 26/5*h**3 + 8/5 - 128/5*h**2 + 94/5*h = 0. -1/13, 1, 4 Let s(c) be the second derivative of -c**4/21 - 1312*c**3/21 - 215168*c**2/7 + 1390*c. What is l in s(l) = 0? -328 Let o be 17 - 56*24/(-96). Let t(p) be the third derivative of o*p**2 + 0*p + 0*p**3 + 1/2520*p**8 + 1/525*p**7 + 0 + 0*p**6 + 0*p**4 - 2/225*p**5. Factor t(c). 2*c**2*(c - 1)*(c + 2)**2/15 Let m = 55 + -47. Suppose 0 = -3*r - r + m. Factor 3*a**2 + 2*a**3 + 4 + 3*a**r - a**2 - 8*a - 3*a**3. -(a - 2)**2*(a - 1) Let -6352*m + 12*m**2 + 1367395 + 507215 + 647134 - 4*m**2 - 4*m**2 = 0. Calculate m. 794 Solve -273/4*k - 3/8*k**2 - 24843/8 = 0 for k. -91 Solve 57209*l**3 + 166 - 57203*l**3 + 544*l + 118*l**2 + 146 = 0. -13, -6, -2/3 Let r(g) be the second derivative of g**6/840 - g**5/420 + 89*g**2/2 + 14*g + 2. Let s(q) be the first derivative of r(q). Factor s(m). m**2*(m - 1)/7 Let j(u) be the third derivative of -u**6/240 + 73*u**5/30 + 587*u**4/48 + 49*u**3/2 - 5835*u**2. Factor j(d). -(d - 294)*(d + 1)**2/2 Let s = 864 - 727. Factor -96*z**2 - 30*z**3 + 27*z + 14*z - 3*z**4 - s*z. -3*z*(z + 2)*(z + 4)**2 Let u = 70328/1905 + -4570/127. Suppose -8/15 + 0*g + 2/15*g**5 - 2/15*g**3 + u*g**2 - 2/5*g**4 = 0. What is g? -1, 1, 2 Factor -70530*i**2 - 6*i**3 + 70582*i**2 - 8*i - 29*i + 5*i. -2*i*(i - 8)*(3*i - 2) Let g(c) be the first derivative of c**6/8 - 21*c**5/10 + 39*c**4/16 + 1226. What is y in g(y) = 0? 0, 1, 13 Let r(a) be the third derivative of a**6/60 - 509*a**5/10 + 259081*a**4/4 - 131872229*a**3/3 - 5630*a**2. Suppose r(y) = 0. What is y? 509 Let m = 2483006/9 - 275866. Factor 2/9*f**2 - m*f + 5618/9. 2*(f - 53)**2/9 Let s(b) be the third derivative of -b**6/300 + 31*b**5/50 + 39*b**4/4 + 297*b**3/5 + 113*b**2 - 1. Factor s(z). -2*(z - 99)*(z + 3)**2/5 Let s be 8/2 - 9/(702/696). Let i = s - -346/65. What is v in 0 + 4/5*v**3 - 1/5*v**4 + i*v - v**2 = 0? 0, 1, 2 Let t(b) be the second derivative of -b**5/10 + 5*b**4/2 + b**3/3 - 15*b**2 + 2355*b. Factor t(o). -2*(o - 15)*(o - 1)*(o + 1) Suppose 4*l = 32 - 24. Factor 2*x + 12*x**l - 2*x - 170*x**5 + 8*x**3 - 10*x + 172*x**5 - 12*x**4. 2*x*(x - 5)*(x - 1)**2*(x + 1) Let i(z) be the first derivative of -2*z**6/3 + 28*z**5/5 - 11*z**4 + 20*z**3/3 + 34. Suppose i(p) = 0. What is p? 0, 1, 5 Let m(i) be the first derivative of 2*i**3/39 + 4*i**2 + 200*i/13 + 13623. Factor m(a). 2*(a + 2)*(a + 50)/13 Let g be ((-4)/38)/(-1) + 216/114. Find y, given that y**g + 17*y - 18*y - 16*y = 0. 0, 17 Let m be 30
{ "pile_set_name": "DM Mathematics" }
ase 12) to base 10. 7783 What is -4002 (base 8) in base 2? -100000000010 Convert -20cc0 (base 13) to base 10. -59306 -736a (base 11) to base 4 -2120130 -2779 (base 14) to base 15 -20e7 What is 15 (base 10) in base 6? 23 Convert 110334 (base 5) to base 11. 2985 Convert 616b (base 12) to base 6. 121015 -101010010000 (base 2) to base 16 -a90 135 (base 16) to base 9 373 176 (base 8) to base 7 240 What is -32235 (base 7) in base 8? -17515 -12210010 (base 3) to base 6 -31303 Convert -414 (base 14) to base 10. -802 What is -3b08 (base 15) in base 5? -400413 Convert -d58 (base 16) to base 13. -172a Convert -133301 (base 5) to base 2. -1010101001011 What is 4872 (base 10) in base 2? 1001100001000 Convert 344d (base 16) to base 6. 141553 -180 (base 15) to base 5 -2340 What is -10000001100001 (base 2) in base 5? -231124 Convert -12203 (base 5) to base 14. -4a4 24f (base 16) to base 4 21033 What is 32342 (base 5) in base 15? 9d2 Convert -20b (base 12) to base 10. -299 -15346 (base 8) to base 3 -100110001 What is -7359 (base 10) in base 14? -2979 -1110112 (base 3) to base 10 -1067 Convert -f3a1 (base 16) to base 10. -62369 What is -2224 (base 7) in base 8? -1442 1033242 (base 5) to base 16 461b What is -100454 (base 6) in base 2? -1111100010010 What is 12220 (base 6) in base 10? 1812 10202011112 (base 3) to base 2 10010000000010111 What is 3b3 (base 16) in base 8? 1663 -49e (base 15) to base 6 -4505 -1312 (base 10) to base 2 -10100100000 What is -305 (base 6) in base 14? -81 Convert c55 (base 14) to base 12. 14a3 -10231 (base 5) to base 10 -691 What is 102023 (base 5) in base 12? 1b64 Convert -4661 (base 7) to base 4. -122231 -e8 (base 16) to base 15 -107 Convert 2a07 (base 11) to base 4. 330213 5185 (base 12) to base 7 34622 Convert -120 (base 8) to base 12. -68 What is -3200 (base 9) in base 5? -33344 -1025 (base 6) to base 9 -278 What is 14753 (base 9) in base 13? 4794 Convert 222011 (base 3) to base 16. 2c2 Convert -808 (base 13) to base 16. -550 111100001011 (base 2) to base 7 14141 Convert -217640 (base 8) to base 14. -1cb96 Convert -104 (base 5) to base 6. -45 -76421 (base 9) to base 6 -1030244 -1166 (base 7) to base 6 -2012 Convert 7187 (base 11) to base 10. 9533 What is 5891 (base 15) in base 8? 44573 Convert 1101130 (base 4) to base 13. 24ac What is 100202002 (base 3) in base 14? 2835 Convert 1110001101100 (base 2) to base 5. 213101 Convert -106163 (base 8) to base 9. -54280 What is -1252 (base 7) in base 12? -33a 323024 (base 5) to base 14 402a What is 1020 (base 3) in base 12? 29 -111321230 (base 4) to base 15 -1b8a8 What is 212220000 (base 3) in base 2? 100010000000111 -466 (base 13) to base 10 -760 -2404 (base 5) to base 10 -354 What is 420 (base 16) in base 5? 13211 What is -1a0f (base 16) in base 7? -25310 What is 2201200 (base 3) in base 15? 8c9 What is 8058 (base 13) in base 15? 5369 What is 13013012 (base 4) in base 9? 43852 -15a9 (base 12) to base 6 -15533 Convert 1856 (base 13) to base 10. 3620 What is 111111101 (base 2) in base 5? 4014 5db6 (base 15) to base 6 232243 What is 11 (base 2) in base 10? 3 What is -2002112022 (base 3) in base 16? -a0fa What is -3022 (base 5) in base 9? -470 Convert 1a15b (base 14) to base 10. 66133 -55316 (base 9) to base 10 -36708 Convert 3103320 (base 4) to base 2. 11010011111000 -5572 (base 14) to base 10 -14800 -13363 (base 12) to base 14 -98b9 Convert 510 (base 8) to base 12. 234 What is d2c0 (base 14) in base 10? 36232 -112662 (base 7) to base 5 -1121412 What is -4132 (base 15) in base 16? -35cc What is -c82 (base 15) in base 10? -2822 What is -166 (base 14) in base 10? -286 Convert -22021012 (base 3) to base 13. -2987 Convert 72536 (base 8) to base 4. 13111132 Convert -7b7 (base 14) to base 12. -a79 Convert -2b1 (base 16) to base 11. -577 -201111 (base 3) to base 7 -1351 Convert 192 (base 13) to base 4. 10200 What is 1530 (base 6) in base 12? 2a6 Convert 21a (base 12) to base 6. 1234 3382 (base 15) to base 14 3da2 30422 (base 5) to base 6 13111 Convert 5929 (base 13) to base 6. 134021 11201 (base 4) to base 3 111002 What is -10110001001111 (base 2) in base 11? -8582 Convert -1122121102 (base 3) to base 15. -997e Convert 4a1 (base 14) to base 6. 4141 -1264a (base 12) to base 2 -110001000011010 Convert -3357 (base 12) to base 9. -7714 What is 109b (base 13) in base 2? 100100010101 What is -11a75 (base 13) in base 4? -13330200 What is 122002110 (base 3) in base 2? 11000010101011 221022 (base 3) to base 11 571 Convert 220210 (base 3) to base 15. 2e9 What is -639 (base 12) in base 10? -909 Convert -415 (base 12) to base 4. -21101 What is -63 (base 14) in base 11? -7a Convert 22222 (base 4) to base 6. 3054 What is 2405 (base 14) in base 8? 14205 -4035 (base 10) to base 15 -12e0 12971 (base 14) to base 4 23023013 7e (base 16) to base 12 a6 210 (base 13) to base 15 186 Convert 2375 (base 14) to base 8. 14043 -1300102 (base 4) to base 13 -336a What is 154 (base 9) in base 6? 334 What is -230414 (base 5) in base 9? -12258 Convert -662 (base 10) to base 11. -552 What is 11100001010 (base 2) in base 14? 92a a0 (base 11) to base 9 132 Convert -121030 (base 4) to base 11. -1236 What is -153607 (base 8) in base 2? -1101011110000111 4020 (base 6) to base 11 727 What is 56765 (base 8) in base 16? 5df5 What is -113431 (base 5) in base 2? -1000010010001 Convert -e36 (base 15) to base 11. -2450 Convert 5512 (base 12) to base 6. 111222 What is 11011111 (base 2) in base 13? 142 Convert -121b (base 16) to base 10. -4635 Convert 20323 (base 4) to base 3. 210011 -2011 (base 8) to base 16 -409 What is 1f2c (base 16) in base 3? 101221120 What is 1225 (base 7) in base 9? 561 Convert -20d (base 14) to base 12. -299 Convert -4a01 (base 14) to base 15. -3c77 What is -531 (base 7) in base 9? -326 Convert -101111111 (base 2) to base 6. -1435 -350 (base 9) to base 11 -242 What is -153452 (base 6) in base 7? -61652 Convert 891 (base 14) to base 2. 11010011111 6342 (base 10) to base 7 24330 What is 61253 (base 7) in base 8? 35045 What is -4419 (base 14) in base 13? -5495 Convert 33220 (base 7) to base 14. 3080 Convert -5320 (base 13) to base 4. -2303332 28b9 (base 15) to base 3 102222010 515a (base 12) to base 15 2954 What is -1102111001 (base 3) in base 11? -1a094 Convert a41 (base 13) to base 6. 12023 -21302 (base 4) to base 15 -2bb Convert -1033212 (base 4) to base 15. -1799 1042101 (base 5) to base 8 43741 What is -1167 (base 8) in base 7? -1561 Convert 158 (base 15) to base 16. 134 Convert 11212000 (base 3) to base 9. 4760 Convert 13e4 (base 16) to base 13. 2419 130023 (base 4) to base 14 92b Convert 1243 (base 8) to base 15. 300 -ad6 (base 16) to base 5 -42044 -4165 (base 7) to base 11 -1115 Convert 2c78 (base 16) to base 2. 10110001111000 Convert 408 (base 11) to base 14. 272 Convert 15605 (base 8) to base 12. 40b1 Convert 6413 (base 8) to base 3. 11120200 What is -12439 (base 12) in base 3? -1021001000 435035 (base 6) to base 14 d223 -258 (base 9) to base 12 -15b What is -2232102 (base 5) in base 10? -39652 -13a20 (base 11) to base 3 -1000020210 What is -9672 (base 12) in base 16? -4076 Convert 370 (base 14) to base 5. 10221 What is 206 (base 11) in base 12? 188 What is -1590 (base 11) in base 6? -13231 Convert 1222211 (base 3) to base 9. 1884 -8904 (base 12) to base 14 -5724 -15104 (base 6) to base 8 -4560 What is -761 (base 8) in base 15? -232 3ba9 (base 12) to base 10 6897 What is -1212232 (base 4) in base 16? -19ae What is 2158 (base 13) in base 12? 2824 Convert -3574 (base 11) to base 15. -15be 4aa5 (base 12) to base 10 8477 What is -9277 (base 10) in base 2? -10010000111101 Convert -7aa (base 15) to base 11. -1338 41533 (base 7) to base 13 485b -71 (base 13) to base 9 -112 What is -2d8 (base 15) in base 4? -22031 7bd3 (base 14) to base 11 15210 What is 3404 (base 5) in base 13? 2ab -37d1 (base 15) to base 7 -46453 Convert 3743 (base 9) to base 14. 1037 Convert -7076 (base 8) to base 4. -320332 Convert -10b0a (base 13) to base 11. -20954 What is -1001101010011111 (base 2) in base 4? -21222133 20c1 (base 15) to base 3 100111201 1012212 (base 3) to base 6 4035 111000001101 (base 2) to base 14 144d What is -1136 (base 9) in base 5? -11333 What is -1a2 (base 11) in base 5? -1413 What is -121112 (base 3) in base 12? -312 C
{ "pile_set_name": "DM Mathematics" }
d - 4. Let f(i) = 73*i**2 - 29*i + 10. Let k(r) = 2*f(r) + 5*g(r). Find the second derivative of k(j) wrt j. -78 Let b(c) be the first derivative of -13/4*c**4 + 0*c**3 + 0*c**2 - 10*c + 6. Differentiate b(z) wrt z. -39*z**2 What is the third derivative of -110*n - 87*n + 93*n**3 - n**4 + 197*n - 451*n**2 wrt n? -24*n + 558 Let p(w) = -59*w**2 - 10*w + 5. Let x(m) = 178*m**2 + 30*m - 15. Let d(h) = -11*p(h) - 4*x(h). Find the second derivative of d(u) wrt u. -126 Let h(w) be the first derivative of -50*w**3 + 229*w**2 + 214. Find the second derivative of h(n) wrt n. -300 What is the third derivative of 24*v**5 - 426*v**2 + 499*v**2 + 30*v**5 wrt v? 3240*v**2 Find the third derivative of -3*k + 63*k**6 + 7*k**2 - 22*k - 6*k**2 wrt k. 7560*k**3 Suppose 3*s + 5*g = 6962, -5*g - 10 = -0. What is the third derivative of -22*f**6 - 28*f**2 + s - 3*f**6 - 2324 wrt f? -3000*f**3 Let m(i) = i + 21. Let y be m(-18). What is the second derivative of 17*w**4 + y*w**2 - 36*w + 6*w - 3*w**2 wrt w? 204*w**2 Let q = 57 - -31. Find the second derivative of -88*u**3 + q*u**3 - 16*u + 14*u**4 wrt u. 168*u**2 Let x(o) = -30*o**2 + o - 662. Let j(c) = -14*c**2 + c - 330. Let q(i) = 5*j(i) - 2*x(i). Differentiate q(t) with respect to t. -20*t + 3 Let y(g) = g + 3. Let h(r) = -519*r**2 + 679*r + 18. Let w(f) = -h(f) + 6*y(f). What is the second derivative of w(u) wrt u? 1038 Suppose 0 = 3*i - 2*z - 51, 5*i = z - 0*z + 78. Suppose i*u + 25 = 20*u. What is the derivative of 28 + 6*v**4 - 2*v**4 - 21 + u*v**4 wrt v? 36*v**3 Let v(l) = 1 + 230*l + 8 - 229*l. Let z be v(-7). Find the third derivative of -7*q**z - 4*q**2 - 4 + 4 + 11*q**4 wrt q. 264*q Find the second derivative of -146*r + 752*r**5 + 769*r**5 + 6*r**4 - 1541*r**5 wrt r. -400*r**3 + 72*r**2 Let o = 7 + -7. Let z = 3 + o. Differentiate -3 - 3*v**3 - 3*v**z + 2 + 3*v**3 with respect to v. -9*v**2 Find the second derivative of -2 - 31650*u**2 - 31898*u**2 - 43*u + 62842*u**2 wrt u. -1412 Suppose -5*t - 2 = -2*m, 2*m - 28 = -2*m - 2*t. Find the third derivative of 3*x - 3*x**2 - 3*x - 5*x**6 - x**m wrt x. -720*x**3 Let j(k) be the third derivative of -17*k**6/60 + 13*k**4/2 + 107*k**2. Find the second derivative of j(b) wrt b. -204*b Let z(o) be the first derivative of 2*o**5/5 - 11*o**4/6 + 36*o + 23. Let g(w) be the first derivative of z(w). Find the third derivative of g(a) wrt a. 48 What is the first derivative of -q**4 - 23669*q**2 + 23669*q**2 + 312*q**3 - 332 + 1004 wrt q? -4*q**3 + 936*q**2 Let d(b) be the third derivative of 9*b**7/5 - 38*b**3 + 115*b**2. Differentiate d(l) with respect to l. 1512*l**3 Let p be 16/6 - (-24)/(-36). Find the second derivative of -2*y + 32*y**2 - 5*y + 4*y - 21*y**p wrt y. 22 Let s(r) = -8*r**2 - 18*r - 4. Let b(u) = -9*u**2 - 19*u - 5. Let l(n) = 4*b(n) - 5*s(n). Find the second derivative of l(j) wrt j. 8 Differentiate 430 + 4*t**2 - 871*t**3 + 872*t**3 - 4*t**2 + 25*t wrt t. 3*t**2 + 25 Let p(z) be the third derivative of -28*z**5/15 - 65*z**3/6 + 17*z**2 + 2. Differentiate p(c) wrt c. -224*c Let d(s) be the second derivative of -3*s**5/2 - s**4/4 - s**3 + 131*s. What is the third derivative of d(n) wrt n? -180 Let c(k) be the first derivative of 8 + 4*k**4 + 6*k**4 + 11*k**2 - 7*k**2 - 6*k**4. What is the second derivative of c(a) wrt a? 96*a Let b(q) = -q**3 + 2*q - 1. Let l be b(-2). What is the first derivative of -249*t**3 + 3*t**4 - 8 + 249*t**l wrt t? 12*t**3 Let a(o) be the third derivative of -25*o**9/42 - 4*o**5/15 - 5*o**3/6 + 33*o**2 + o. Find the third derivative of a(n) wrt n. -36000*n**3 Let q(c) = 3*c - 5. Let y be q(-4). Let i = 19 + y. Find the second derivative of -12*s - s**5 + 20*s + i*s**5 wrt s. 20*s**3 Suppose -38*y = -27*y. Let k(q) be the second derivative of q + y + 0*q**5 + 0*q**2 + 1/6*q**6 + 2/3*q**3 + 0*q**4. What is the second derivative of k(v) wrt v? 60*v**2 Let l(h) be the third derivative of -29*h**7/70 - h**4/8 - 136*h**3/3 - 169*h**2. What is the first derivative of l(m) wrt m? -348*m**3 - 3 Let h(k) = k**2 - 6*k + 5. Let y be h(6). Suppose 2 - 12 = -y*v. Find the third derivative of -6*o**4 - 2*o**4 - 9*o**v + 3*o**4 wrt o. -120*o Suppose -25 = 3*d - 3*u - 154, -4*u = 2*d - 92. Differentiate 11 - 2*a**3 + 53*a**4 + 2*a**3 - d*a**4 wrt a. 36*a**3 Let u(m) = -3*m**3 - 2*m**2 - m. Let j(c) = 46*c**3 + 7*c**2 - 567*c. Let g(z) = -j(z) - 2*u(z). What is the second derivative of g(t) wrt t? -240*t - 6 Suppose 8 = 4*q - 24. What is the second derivative of 17*b + 0*b + q*b - 2*b**4 - b**4 wrt b? -36*b**2 Let z(v) be the second derivative of -49*v**5/20 - 77*v**2/2 - 108*v - 2. Differentiate z(m) wrt m. -147*m**2 Let k(b) = -27*b - 77. Let y(h) = -26*h - 74. Let x(j) = 4*k(j) - 5*y(j). What is the derivative of x(m) wrt m? 22 What is the second derivative of 131*o**5 + 102*o - 156*o**3 + 156*o**3 + 24*o**5 wrt o? 3100*o**3 Suppose 5*n = -2*k - 11, 1 = 4*k + n - 4. Suppose -4*o + 6 = -k. Find the first derivative of -o*b**3 - 3 - 2 + 4 + 4 wrt b. -6*b**2 Suppose 2*p + 0*p = 178. Find the third derivative of -43*m**2 - 89*m**5 - 9*m**6 + p*m**5 wrt m. -1080*m**3 Suppose -21 = 5*d + 164. Let p = d - -40. Find the third derivative of 4*g**3 - 10*g**2 + 0*g**2 - 3*g**p + 6*g**3 wrt g. 42 Let u(v) = -9*v**2 + 4. Let t(q) = -19*q**2 + 9. Let z = 2 - -4. Let p(a) = z*t(a) - 13*u(a). Differentiate p(o) with respect to o. 6*o Let q(m) be the first derivative of -33*m**4 - 8*m**3 + 4*m + 267. What is the third derivative of q(w) wrt w? -792 Let b = 23/240 + -1/16. Let y(m) be the third derivative of -b*m**5 - 1/2*m**3 + 0*m**4 + 0 + 0*m + 6*m**2. Find the first derivative of y(d) wrt d. -4*d Let l(j) be the first derivative of -13/2*j**6 + 0*j + 0*j**4 + 0*j**5 + 0*j**3 - 33/2*j**2 - 28. Find the second derivative of l(f) wrt f. -780*f**3 What is the third derivative of -2*k**4 + 79*k**2 + 3*k**4 - 64*k**3 + 60*k**3 wrt k? 24*k - 24 Let q = 81 - 46. Let f be q/4 - (-2)/8. What is the derivative of f + 6*i**3 - 3*i**3 - 7 - 2*i**3 wrt i? 3*i**2 Let d(z) be the second derivative of -71*z**5/20 - 19*z**4/4 + z - 15. Find the third derivative of d(q) wrt q. -426 Find the first derivative of -59 + 4266*b**3 - 4245*b**3 + 1 - 3*b**4 wrt b. -12*b**3 + 63*b**2 Find the third derivative of 221 + 14*n**2 + 20*n**3 - 221 wrt n. 120 Let j(m) be the third derivative of 9/8*m**4 - 17/3*m**3 - 30*m**2 + 0*m + 0. What is the first derivative of j(i) wrt i? 27 Let z = -12 - -12. Suppose 3*f - 4*p - 9 = 0, -3*f + 3*p = -z*f - 9. What is the third derivative of -f*d**2 + 32*d**5 + 2*d**6 - 32*d**5 wrt d? 240*d**3 Let x(i) be the second derivative of -33*i**5/20 + 79*i**3/6 + 75*i. What is the second derivative of x(d) wrt d? -198*d Let c(v) = -6 + 3 - 2 + 0 - 5*v. Let a be c(-2). Find the third derivative of 3*r**4 - a*r**4 + 3*r**2 - 4*r**2 + 4*r**4 wrt r. 48*r Let t(g) = -g**3 - 7*g**2 - 6*g + 2. Let a be t(-6). Let r be (-2)/2*(-8 + 0). What is the third derivative of -5*j**a + 3*j**3 - 8*j + r*j wrt j? 18 Let f(k) be the third derivative of k**6/60 - 35*k**4/24 + 5*k**3/2 + 2*k**2 + 200*k. What is the first derivative of f(w) wrt w? 6*w**2 - 35 Let x(n) be the first derivative of 0*n**2 - 6 + 0*n**4 - 2*n**5 + 0*n - 7/3*n**3. Find the third derivative of x(v) wrt v. -240*v Let o(y) be the first derivative of 12*y**5/5 - 2*y**3/3 - 27*y - 196. What is the third derivative of o(r) wrt r? 288*r Find the second derivative of 2*h**3 - h**3 - 1 + 11*h**2 + 5*h - 9*h - 20*h wrt h. 6*h + 22 Let r(v) = -21*v**5 - 4*v**2 - 32*v - 4. Let y(l) = 2*l**2 - 3*l**2 + 0 - l + 0 + l**5 - 1. Let c(j) = -r(j) + 4*y(j). Find the second derivative of c(p) wrt p. 500*p**3 Let w(x) be the second derivative of -5*x + 1/2*x**4 + 0*x**5 + 0 - 1/3*x**6 + 0*x**2 + 0*x**3. What is the third derivative of w(t) wrt t? -240*t Let f(m) be the third derivative of -m**7/105 + 463*m**6/120 + 11*m**5/60 + m**4/6 + 451*m**2. What is the third derivative of f(t) wrt t? -48*t + 2778 Let h be -5*(2/(-6) + (-2)/3). What is the third derivative of i**2 + 4*i**2 - 3*i**5 + i**2 - 11*i**h wrt i? -840*i**2 Let p(j) be the second derivative of 41*j**6/6 + 11*j**4/3 - 3*j**2/2 - 78*j. Find the third derivative of p(f) wrt f. 4920*f Let q(t) be the second derivative of -3*t**5/20 - 5*t**4/2 + 275*t**3/6 - 7
{ "pile_set_name": "DM Mathematics" }
iple of 9? True Does 10 divide 285450? True Does 7 divide 583107? True Is 53 a factor of 36347877? True Is 4 a factor of 187228? True Is 102960 a multiple of 10? True Is 3 a factor of 571827? True Is 2156068 a multiple of 4? True Is 65 a factor of 82810? True Is 13 a factor of 601900? True Is 1921128 a multiple of 152? True Is 661323 a multiple of 8? False Does 22 divide 523748? False Does 135 divide 15660? True Is 18 a factor of 1463655? False Does 10 divide 1146550? True Is 57529 a multiple of 282? False Is 503364 a multiple of 8? False Is 110904 a multiple of 3? True Is 68916 a multiple of 4? True Is 348 a factor of 2463381? False Does 15 divide 17334840? True Does 389 divide 324371? False Is 2550405 a multiple of 533? True Is 23325 a multiple of 48? False Does 1069 divide 7904186? True Does 231 divide 386882? False Is 2588328 a multiple of 69? True Is 24220 a multiple of 28? True Is 264204 a multiple of 63? False Does 39 divide 567575? False Does 6 divide 1353354? True Does 25 divide 713925? True Is 165414 a multiple of 114? True Is 6801200 a multiple of 1960? True Is 56 a factor of 984578? False Does 350 divide 317701? False Does 147 divide 267539? False Is 3310234 a multiple of 126? False Is 155803 a multiple of 53? False Is 3633410 a multiple of 5? True Does 4 divide 204750? False Is 10 a factor of 29520? True Is 30411 a multiple of 3? True Is 177839 a multiple of 13? False Is 16 a factor of 596237? False Is 18 a factor of 17218368? True Does 157 divide 1505316? True Does 577 divide 13671438? True Is 181 a factor of 19373516? True Is 7 a factor of 3123815? False Does 12 divide 173401? False Is 8475971 a multiple of 86? False Is 3496541 a multiple of 103? True Does 103 divide 1493294? True Is 323755 a multiple of 17? False Does 136 divide 62696? True Does 112 divide 2976119? False Is 33 a factor of 27791? False Is 169 a factor of 177666? False Does 236 divide 99378? False Does 12 divide 6624648? True Does 348 divide 370968? True Is 313896 a multiple of 29? True Is 136587 a multiple of 118? False Does 9 divide 60300? True Does 26 divide 9022? True Is 374712 a multiple of 156? True Is 100 a factor of 2556? False Is 3413627 a multiple of 145? False Is 2596429 a multiple of 1851? False Does 699 divide 1784547? True Does 35 divide 2386210? False Does 10 divide 417418? False Is 587628 a multiple of 9? True Is 485 a factor of 96030? True Is 196685 a multiple of 139? True Does 122 divide 201788? True Does 10 divide 1514665? False Is 436119 a multiple of 111? True Does 103 divide 63104? False Is 1436799 a multiple of 57? True Does 45 divide 517860? True Is 208 a factor of 521872? True Is 110 a factor of 62541? False Is 4 a factor of 56260? True Is 20 a factor of 381360? True Is 9660596 a multiple of 268? True Does 161 divide 55810? False Is 732247 a multiple of 6? False Is 82764 a multiple of 132? True Is 519 a factor of 85116? True Is 205110 a multiple of 105? False Is 754 a factor of 293306? True Does 3 divide 5115240? True Is 130 a factor of 1870180? True Is 211248 a multiple of 9? True Does 85 divide 231795? True Is 7 a factor of 39410? True Is 66462 a multiple of 38? True Is 1321 a factor of 11591775? True Is 18 a factor of 2068056? True Is 7 a factor of 151039? True Is 7825 a multiple of 5? True Does 10 divide 165640? True Is 445543 a multiple of 822? False Is 422 a factor of 3706681? False Is 70915 a multiple of 3? False Is 4 a factor of 524502? False Is 167636 a multiple of 26? False Is 2160850 a multiple of 23? True Is 6956546 a multiple of 38? True Is 171 a factor of 378395? False Is 19 a factor of 5083049? False Is 73 a factor of 575751? True Does 49 divide 156751? True Does 1115 divide 9275685? True Is 620 a factor of 8907246? False Is 312 a factor of 280013? False Is 26818 a multiple of 56? False Does 6 divide 91411? False Does 105 divide 1295982? False Is 505449 a multiple of 113? True Is 114 a factor of 181958? False Does 58 divide 366480? False Does 302 divide 98452? True Is 6522336 a multiple of 13? False Does 449 divide 8310541? True Is 101 a factor of 83851? False Does 44 divide 81610? False Is 16 a factor of 72422? False Is 13152913 a multiple of 67? False Is 11021423 a multiple of 833? True Is 638656 a multiple of 8? True Is 6988173 a multiple of 263? True Is 283 a factor of 849849? True Does 97 divide 221203? False Is 15 a factor of 3358? False Is 2 a factor of 34260? True Is 414 a factor of 6393816? True Is 5050063 a multiple of 701? False Is 37 a factor of 402131? False Does 635 divide 76959? False Is 1171 a factor of 2244572? False Does 5 divide 180568? False Does 124 divide 871720? True Is 49 a factor of 783167? True Is 1034075 a multiple of 25? True Does 287 divide 183106? True Is 14 a factor of 5428117? False Is 29377 a multiple of 32? False Is 10 a factor of 305887? False Is 22820 a multiple of 35? True Is 226923 a multiple of 296? False Is 4 a factor of 645248? True Is 157040 a multiple of 20? True Is 74 a factor of 262034? True Is 16753 a multiple of 13? False Does 67 divide 16999? False Is 31 a factor of 137516? True Is 17916 a multiple of 12? True Does 41 divide 25560614? False Is 244305 a multiple of 183? True Is 141350 a multiple of 6? False Is 91 a factor of 767312? True Does 5 divide 6858860? True Does 425 divide 1021668? False Does 24 divide 764016? True Is 61020 a multiple of 15? True Is 63719 a multiple of 27? False Is 1632168 a multiple of 12? True Is 7727883 a multiple of 3? True Is 1783002 a multiple of 530? False Does 552 divide 424250? False Is 3702921 a multiple of 1873? True Does 9 divide 4185540? True Does 95 divide 737869? False Is 6 a factor of 3845352? True Does 14 divide 536921? False Does 179 divide 1760465? True Does 19 divide 12360382? False Does 9 divide 533877? False Is 331844 a multiple of 92? True Is 6781920 a multiple of 16? True Is 9 a factor of 67788? True Does 24 divide 667680? True Is 2 a factor of 816236? True Is 437 a factor of 5917854? True Does 36 divide 34576? False Is 604154 a multiple of 232? False Does 18 divide 224028? True Is 515 a multiple of 5? True Is 18108 a multiple of 3? True Is 199 a factor of 399800? False Is 115 a factor of 2863500? True Does 86 divide 74128? False Is 223 a factor of 11167708? False Is 190 a factor of 2579242? False Is 11 a factor of 8458373? True Does 16 divide 5682752? True Is 153876 a multiple of 4? True Is 124 a factor of 144899? False Is 16 a factor of 733276? False Is 239 a factor of 6453? True Is 306072 a multiple of 8? True Does 25 divide 368250? True Is 508720 a multiple of 524? False Is 49068 a multiple of 87? True Is 108 a factor of 73224? True Is 7 a factor of 1925328? False Is 27 a factor of 941922? True Does 67 divide 159064? False Is 6537564 a multiple of 455? False Is 324 a factor of 343907? False Is 43 a factor of 26843? False Does 762 divide 8545442? False Is 6 a factor of 56942? False Is 158203 a multiple of 36? False Is 25 a factor of 1528625? True Is 73017 a multiple of 11? False Is 9552 a multiple of 4? True Is 14990 a multiple of 3? False Is 12 a factor of 16292960? False Is 244 a factor of 158179? False Does 11 divide 397254? True Is 69 a factor of 52605? False Does 200 divide 5014? False Is 5 a factor of 852265? True Does 46 divide 780449? False Is 1279759 a multiple of 13? True Does 1336 divide 4955224? True Is 15417729 a multiple of 911? False Does 3 divide 309826? False Does 94 divide 354286? True Is 10 a factor of 10950? True Does 34 divide 597350? False Is 126367 a multiple of 221? False Is 552480 a multiple of 12? True Does 171 divide 202638? False Is 79665 a multiple of 29? False Is 60 a factor of 69060? True Does 3 divide 92373? True Does 142 divide 3266142? True Is 34098 a multiple of 110? False Does 10 divide 46714? False Does 40 divide 676408? False Is 91 a factor of 10779? False Is 51 a factor of 59953? False Does 146 divide 267764? True Does 49 divide 17032596? True Is 28 a factor of 161607? False Does 467 divide 290941? True Is 26 a factor of 192686? True Does 5 divide 973345? True Is 78211 a multiple of 21? False Does 82 divide 99875? False Is 18214585 a multiple of 642? False Is 1805033 a multiple of 71? True Is 1868 a factor of 14504185? False Is 46 a factor of 36156? True Does 876 divide 4584475? Fals
{ "pile_set_name": "DM Mathematics" }
ime factors of 100324364. 2, 7, 511859 What are the prime factors of 183576411? 3, 20397379 List the prime factors of 1459984053. 3, 11, 5107, 8663 What are the prime factors of 2151171673? 7, 83, 3702533 List the prime factors of 85821322. 2, 42910661 List the prime factors of 71833765. 5, 379, 37907 What are the prime factors of 2849675050? 2, 5, 5351, 10651 List the prime factors of 107875126. 2, 53937563 List the prime factors of 336759012. 2, 3, 3118139 List the prime factors of 33109445. 5, 29, 228341 List the prime factors of 387261295. 5, 77452259 List the prime factors of 233538773. 13, 79, 227399 List the prime factors of 3710528093. 43, 86291351 What are the prime factors of 4880591012? 2, 11, 110922523 What are the prime factors of 5298089522? 2, 11, 461, 522391 List the prime factors of 100649796. 2, 3, 13, 769, 839 What are the prime factors of 48937735? 5, 7, 11, 79, 1609 What are the prime factors of 2609691491? 11, 137, 557, 3109 What are the prime factors of 57524742? 2, 3, 11, 19, 1699 List the prime factors of 45056174. 2, 43, 47, 71, 157 List the prime factors of 356290204. 2, 19, 271, 17299 List the prime factors of 4251104052. 2, 3, 13, 27250667 List the prime factors of 672183091. 89, 7552619 What are the prime factors of 747238204? 2, 186809551 What are the prime factors of 85346732? 2, 17, 347, 3617 List the prime factors of 525519671. 11213, 46867 List the prime factors of 93582040. 2, 5, 2339551 List the prime factors of 1067596217. 43, 24827819 What are the prime factors of 141518016? 2, 3, 27299 List the prime factors of 35674367. 571, 62477 List the prime factors of 82632312. 2, 3, 7, 18217 List the prime factors of 113114121. 3, 41, 311, 2957 List the prime factors of 169943466. 2, 3, 7, 11, 7507 List the prime factors of 426240972. 2, 3, 113, 104779 What are the prime factors of 1724599? 17, 229, 443 What are the prime factors of 142504696? 2, 199, 89513 What are the prime factors of 1970469530? 2, 5, 197046953 What are the prime factors of 256534936? 2, 7, 4580981 List the prime factors of 1102598676. 2, 3, 29, 352043 What are the prime factors of 5363077987? 22877, 234431 List the prime factors of 612349194. 2, 3, 23, 4437313 List the prime factors of 11352344. 2, 43, 61, 541 List the prime factors of 3818497482. 2, 3, 212138749 What are the prime factors of 166919227? 353, 472859 What are the prime factors of 99719176? 2, 12464897 List the prime factors of 616163358. 2, 3, 102693893 List the prime factors of 351276719. 277, 1268147 What are the prime factors of 283150035? 3, 5, 7, 898889 What are the prime factors of 11527343? 17, 39887 What are the prime factors of 1462905135? 3, 5, 67, 485209 What are the prime factors of 1420113916? 2, 13, 61, 447703 What are the prime factors of 662628451? 431, 1537421 What are the prime factors of 198497585? 5, 11, 13, 73, 3803 What are the prime factors of 34774700? 2, 5, 347747 List the prime factors of 30384487. 7, 4340641 What are the prime factors of 2232472555? 5, 17, 26264383 List the prime factors of 160676473. 9551, 16823 List the prime factors of 551093932. 2, 137773483 List the prime factors of 35084348. 2, 13, 674699 List the prime factors of 1636716447. 3, 181857383 What are the prime factors of 266237406? 2, 3, 14790967 What are the prime factors of 51347993? 51347993 What are the prime factors of 433257033? 3, 11, 53, 247717 List the prime factors of 421512625. 5, 19, 9341 What are the prime factors of 5118839643? 3, 71, 73, 329207 What are the prime factors of 156157173? 3, 1163, 4973 What are the prime factors of 96357527? 7, 13765361 List the prime factors of 2038569938. 2, 41, 24860609 What are the prime factors of 78735054? 2, 3, 103, 127403 List the prime factors of 58970281. 19, 103, 30133 What are the prime factors of 187864790? 2, 5, 17, 103, 10729 What are the prime factors of 6110254? 2, 37, 82571 List the prime factors of 1680045441. 3, 3299, 169753 List the prime factors of 341158974. 2, 3, 13, 4373833 List the prime factors of 194882656. 2, 383, 15901 What are the prime factors of 1202556913? 1202556913 List the prime factors of 5868471012. 2, 3, 1789, 273359 What are the prime factors of 425424855? 3, 5, 263, 107839 What are the prime factors of 272204247? 3, 7, 1423, 9109 List the prime factors of 157248923. 13, 930467 What are the prime factors of 34735338? 2, 3, 11, 58477 List the prime factors of 29371953. 3, 13, 753127 What are the prime factors of 102946503? 3, 11, 19, 113, 1453 List the prime factors of 3346602. 2, 3, 7, 11383 What are the prime factors of 1613526862? 2, 3673, 219647 List the prime factors of 2851801451. 21977, 129763 What are the prime factors of 17084549? 17084549 What are the prime factors of 1956987422? 2, 13, 19, 3961513 What are the prime factors of 98521261? 98521261 What are the prime factors of 399973046? 2, 11, 29, 626917 List the prime factors of 274245563. 19, 167, 4549 List the prime factors of 84124316. 2, 21031079 What are the prime factors of 21597073? 373, 57901 What are the prime factors of 91344558? 2, 3, 15224093 List the prime factors of 54372156. 2, 3, 307, 14759 What are the prime factors of 388531282? 2, 313, 620657 List the prime factors of 30810027. 3, 10270009 List the prime factors of 293205318. 2, 3, 7, 20353 List the prime factors of 56315938. 2, 7, 4022567 List the prime factors of 2680390846. 2, 7, 27350927 What are the prime factors of 2125571546? 2, 7, 151826539 List the prime factors of 420035333. 29, 823, 17599 List the prime factors of 563154727. 563154727 List the prime factors of 620973688. 2, 17, 23, 67, 2963 What are the prime factors of 3612608157? 3, 31, 421, 92269 List the prime factors of 863262791. 16363, 52757 What are the prime factors of 566147967? 3, 7, 11, 23, 41, 113 List the prime factors of 32602981. 83, 392807 What are the prime factors of 253842627? 3, 107, 151, 5237 List the prime factors of 7330110709. 271, 937, 28867 What are the prime factors of 444235190? 2, 5, 7, 59, 107563 List the prime factors of 642428349. 3, 5077, 42179 List the prime factors of 13209554. 2, 983, 6719 List the prime factors of 17149871. 17149871 List the prime factors of 69817566. 2, 3, 7, 13, 71, 1801 List the prime factors of 220482932. 2, 55120733 List the prime factors of 15917030. 2, 5, 37, 43019 What are the prime factors of 133015399? 11, 1847, 6547 List the prime factors of 1183058456. 2, 31, 4770397 What are the prime factors of 12793381? 163, 78487 What are the prime factors of 227822860? 2, 5, 823, 13841 List the prime factors of 3133314682. 2, 419, 3739039 What are the prime factors of 79803539? 8293, 9623 What are the prime factors of 108586653? 3, 7, 19, 43, 6329 What are the prime factors of 97057413? 3, 3594719 What are the prime factors of 1767147987? 3, 11, 53549939 What are the prime factors of 127274163? 3, 3541, 11981 List the prime factors of 76486862. 2, 29, 1318739 List the prime factors of 3890779494. 2, 3, 7, 17, 659, 8269 List the prime factors of 54543727. 7, 7791961 What are the prime factors of 36115681? 7, 23, 101, 2221 What are the prime factors of 258359850? 2, 3, 5, 7, 11717 What are the prime factors of 803792930? 2, 5, 80379293 List the prime factors of 119678250. 2, 3, 5, 159571 What are the prime factors of 375239664? 2, 3, 19, 23, 67, 89 What are the prime factors of 4516746195? 3, 5, 13, 353, 65617 List the prime factors of 21564947. 3307, 6521 What are the prime factors of 249318468? 2, 3, 7, 61, 331 List the prime factors of 3128626. 2, 1564313 What are the prime factors of 105319111? 105319111 What are the prime factors of 61764312? 2, 3, 797, 3229 What are the prime factors of 2945323303? 13, 226563331 What are the prime factors of 34201750? 2, 5, 11, 12437 List the prime factors of 34951766. 2, 23, 759821 What are the prime factors of 362778251? 11, 113, 291857 List the prime factors of 164176044. 2, 3, 13681337 List the prime factors of 2670047686. 2, 67, 2111, 9439 What are the prime factors of 79949560? 2, 5, 1998739 List the prime factors of 50036810. 2, 5, 41, 122041 List the prime factors of 102283275. 3, 5, 61, 79, 283 What are the prime factors of 2513577285? 3, 5, 61, 305231 What are the prime factors of 191562339? 3, 63854113
{ "pile_set_name": "DM Mathematics" }
ultiple of 54 and 162. 162 What is the common denominator of 35/8 and -1/43? 344 Calculate the least common multiple of 9 and 66. 198 Find the common denominator of 8/9 and -71/33. 99 Calculate the common denominator of -5/294 and -7/11. 3234 Calculate the common denominator of -5/237 and 1/4. 948 What is the lowest common multiple of 370 and 365? 27010 Find the common denominator of -123/40 and -38/55. 440 Find the common denominator of 22/15 and 19/23196. 115980 What is the lowest common multiple of 208 and 624? 624 Calculate the common denominator of -31/92 and 81/22. 1012 Calculate the lowest common multiple of 2709 and 8127. 8127 What is the least common multiple of 171 and 3? 171 Calculate the common denominator of -47/36 and 95/252. 252 Find the common denominator of -1/5 and -11/50. 50 What is the smallest common multiple of 3650 and 4015? 40150 Calculate the lowest common multiple of 162 and 135. 810 Calculate the common denominator of -1/16367 and 19/6295. 81835 What is the lowest common multiple of 40 and 64? 320 What is the lowest common multiple of 4 and 444? 444 Calculate the least common multiple of 11432 and 2. 11432 What is the least common multiple of 15 and 7? 105 Find the common denominator of -47/297 and -38/1111. 29997 Calculate the least common multiple of 7203 and 84. 28812 What is the common denominator of 61/2 and 18/1405? 2810 Calculate the lowest common multiple of 27 and 222. 1998 Calculate the lowest common multiple of 710 and 8. 2840 What is the common denominator of -103/372 and -37/48? 1488 Find the common denominator of 89/3054 and 87/8. 12216 Calculate the common denominator of -61/46 and 83/15. 690 Calculate the common denominator of -59/470 and 49/188. 940 What is the least common multiple of 3862 and 4? 7724 Calculate the lowest common multiple of 26 and 18. 234 What is the smallest common multiple of 381 and 18? 2286 Calculate the least common multiple of 792 and 10197. 81576 What is the lowest common multiple of 9 and 400? 3600 Calculate the smallest common multiple of 9 and 219. 657 What is the common denominator of -62/1791 and -83/54? 10746 Find the common denominator of 11/130 and 3/308. 20020 Calculate the least common multiple of 22 and 1. 22 Calculate the least common multiple of 32 and 20. 160 Calculate the least common multiple of 36 and 506. 9108 What is the smallest common multiple of 1064 and 280? 5320 Find the common denominator of -62/39 and 19/78. 78 Calculate the common denominator of 1/7 and -13/1706. 11942 Find the common denominator of 43/17 and -18/11. 187 What is the smallest common multiple of 44 and 8640? 95040 Calculate the common denominator of 67/1016 and -26/889. 7112 Calculate the lowest common multiple of 104 and 364. 728 Calculate the smallest common multiple of 2100 and 150. 2100 What is the common denominator of -38/63 and -103/525? 1575 Calculate the lowest common multiple of 56 and 42. 168 What is the least common multiple of 1128 and 15? 5640 Calculate the lowest common multiple of 161 and 42. 966 What is the least common multiple of 555 and 27? 4995 What is the common denominator of 31/858 and 53/2? 858 Find the common denominator of -27/380 and 21/40. 760 Find the common denominator of -46/3 and 13/2544. 2544 Find the common denominator of 145/132 and 1/18. 396 Calculate the smallest common multiple of 16 and 17. 272 Calculate the lowest common multiple of 4610 and 16. 36880 Calculate the common denominator of -65/3 and -61/40. 120 What is the least common multiple of 4 and 178918? 357836 Calculate the lowest common multiple of 8 and 360. 360 What is the common denominator of 86/45 and 51/40? 360 Find the common denominator of -85/12 and 79/30. 60 Calculate the common denominator of -55/56 and 19/564. 7896 What is the least common multiple of 810 and 2565? 15390 What is the common denominator of -149/1200 and 59/105? 8400 Calculate the lowest common multiple of 308 and 168. 1848 What is the common denominator of 109/1210 and -61/5610? 61710 What is the common denominator of 109/44 and -31/4752? 4752 What is the common denominator of -127/1900 and -1/608? 15200 Calculate the common denominator of -97/230 and -157/414. 2070 What is the common denominator of 65/126 and 31/180? 1260 What is the common denominator of 7/33 and -35/11? 33 What is the smallest common multiple of 8 and 12? 24 Find the common denominator of 23/35 and 91/120. 840 What is the common denominator of -53/12 and 85/6? 12 Find the common denominator of -61/24 and 99/92. 552 Calculate the lowest common multiple of 133 and 5. 665 Calculate the lowest common multiple of 24 and 2. 24 What is the lowest common multiple of 176 and 154? 1232 Find the common denominator of 43/156 and 115/182. 1092 What is the common denominator of 49/190 and 37/38? 190 Calculate the common denominator of -81/3310 and 9/20. 6620 Find the common denominator of -73/9 and 13/750. 2250 What is the smallest common multiple of 17 and 400? 6800 Calculate the smallest common multiple of 66 and 192. 2112 Find the common denominator of -71/8 and 55/476. 952 What is the least common multiple of 216 and 6? 216 Find the common denominator of 21/346 and 139/6. 1038 Calculate the common denominator of 29/660 and -53/15. 660 Calculate the least common multiple of 12 and 6. 12 Find the common denominator of -109/312 and 11/52. 312 Calculate the lowest common multiple of 49 and 203. 1421 Calculate the least common multiple of 12 and 603. 2412 Calculate the common denominator of 47/11 and 65/387. 4257 Calculate the least common multiple of 12 and 816. 816 Calculate the lowest common multiple of 22 and 536. 5896 What is the lowest common multiple of 4844 and 2? 4844 Find the common denominator of -5/216 and 109/26. 2808 Calculate the common denominator of -9/490 and -113/784. 3920 What is the least common multiple of 340 and 544? 2720 What is the common denominator of -75/4 and 1/106? 212 Find the common denominator of -13/4200 and -67/3600. 25200 What is the common denominator of -19/246 and 67/72? 2952 What is the common denominator of 131/1674 and -99/20? 16740 What is the common denominator of -11/136 and 107/850? 3400 Calculate the lowest common multiple of 224 and 68. 3808 What is the common denominator of -73/82 and -5/12? 492 Find the common denominator of -49/171 and 39/76. 684 Find the common denominator of 179/420 and 7/4. 420 Calculate the least common multiple of 111 and 148. 444 What is the smallest common multiple of 261 and 899? 8091 What is the common denominator of 43/144 and 47/36? 144 Calculate the common denominator of -21/80 and 79/140. 560 Calculate the common denominator of 87/26 and 61/2. 26 What is the common denominator of 29/276 and 129/460? 1380 Calculate the common denominator of 39 and 26/63. 63 What is the lowest common multiple of 136 and 328? 5576 Calculate the least common multiple of 1144 and 32. 4576 Find the common denominator of 46/7 and -7/2413. 16891 What is the least common multiple of 140 and 2? 140 Calculate the common denominator of 101/112 and 125/168. 336 What is the smallest common multiple of 16 and 380? 1520 Find the common denominator of -47/10 and 19/681. 6810 Find the common denominator of -41/4 and -89/4092. 4092 Calculate the lowest common multiple of 160 and 80. 160 Calculate the common denominator of 39/1210 and -7/660. 7260 Calculate the smallest common multiple of 8620 and 16. 34480 What is the lowest common multiple of 144 and 72? 144 What is the common denominator of 115/182 and 83/208? 1456 What is the lowest common multiple of 9 and 360? 360 Calculate the common denominator of -53/31 and 143/24. 744 Find the common denominator of 49/19 and -46/45. 855 Calculate the smallest common multiple of 268 and 36. 2412 What is the least common multiple of 1440 and 96? 1440 Calculate the lowest common multiple of 90 and 165. 990 Calculate the common denominator of 1/915 and 49/1220. 3660 Find the common denominator of 79/63 and -22/2765. 24885 Calculate the common denominator of -48/5 and -48/215. 215 What is the lowest common multiple of 826 and 11? 9086 Calculate the lowest common multiple of 6480 and 972. 19440 What is the common denominator of 31/808 and -71/18? 7272 Calculate the commo
{ "pile_set_name": "DM Mathematics" }
047011? 6047005 In base 2, what is -101111001100001011100101 + 10? -101111001100001011100011 In base 5, what is 2 - -1041303302? 1041303304 In base 8, what is 0 + -17034633? -17034633 In base 3, what is 222202001010022 - 1? 222202001010021 In base 13, what is bb67c - 88b? baac1 In base 6, what is -23 - -11131141035? 11131141012 In base 14, what is 926 - a4449? -a3923 In base 8, what is -172422622 - 4? -172422626 In base 2, what is 11101100011001101100101001 + 1? 11101100011001101100101010 In base 3, what is 11 - -100210101111102212? 100210101111110000 In base 13, what is -203372 + -19c? -203541 In base 5, what is -2141430344410 + 1? -2141430344404 In base 7, what is 43 - 620445? -620402 In base 8, what is 376724 - -345? 377271 In base 3, what is -1011010210 - 210211? -1011221121 In base 13, what is -341 - 3243? -3584 In base 8, what is -24252 - 2352? -26624 In base 4, what is 1 - -101312322022? 101312322023 In base 13, what is a6b - 119132? -118394 In base 10, what is -4 + 48852799? 48852795 In base 2, what is 110101011000111010101 + 10101010? 110101011001001111111 In base 6, what is -1000505455 + -5? -1000505504 In base 2, what is 111111001001100 + 1111100110111? 1001110110000011 In base 6, what is -23330324041 - -12? -23330324025 In base 4, what is 23131102111122 - -1? 23131102111123 In base 9, what is -84414284 - 3? -84414287 In base 8, what is 165110 + 1641? 166751 In base 7, what is -23010 - -5413? -14264 In base 5, what is 132 + 13210230? 13210412 In base 9, what is -2300234 - 1? -2300235 In base 5, what is -4 - 1441242040? -1441242044 In base 11, what is 504631 + 2? 504633 In base 8, what is -6512532 + 123? -6512407 In base 15, what is -509ae - -22? -5098c In base 4, what is 1 - -2011023032000? 2011023032001 In base 15, what is 20a1c + 83? 20aa0 In base 5, what is 1201140 - 10304? 1140331 In base 7, what is -614203 + 4351? -606522 In base 5, what is 11124031233 - 1? 11124031232 In base 5, what is 11 + 4212033230? 4212033241 In base 3, what is 102220101011 + -1212? 102220022022 In base 13, what is 19 - -481a026? 481a042 In base 2, what is -10 - 100111000010101101111010? -100111000010101101111100 In base 4, what is 103 - -2123230011101? 2123230011210 In base 15, what is 1cb - -2334? 2510 In base 2, what is -1101111011101111 + 100110001? -1101110110111110 In base 13, what is -190 + -71a31? -71bc1 In base 8, what is -4 - -2507752271? 2507752265 In base 13, what is -b76a + -b170? -1990a In base 6, what is 20213023405 - 1? 20213023404 In base 5, what is 4130340 + 21042? 4201432 In base 13, what is 155b644c + -a? 155b6442 In base 4, what is -230303 + -100300223? -101131132 In base 14, what is -47a24 - 957? -4857b In base 6, what is 540021542 + -33? 540021505 In base 5, what is 134 - -13323334? 13324023 In base 13, what is -a70c90 + 12? -a70c7b In base 7, what is 4 + -616266622? -616266615 In base 13, what is 6a58ac8 - -3? 6a58acb In base 2, what is -1010101011010 + 1001001101? -1001100001101 In base 16, what is -13 - 193c27? -193c3a In base 12, what is 2 + -5ba9038? -5ba9036 In base 9, what is -1 - 7036281? -7036282 In base 7, what is -166435062 + -13? -166435105 In base 16, what is 975c + 4? 9760 In base 13, what is -81441 - 2a6? -81717 In base 15, what is -27d - -3ce0? 3a62 In base 4, what is 1103 - 2133011013? -2133003310 In base 3, what is -110220211222201 + 12? -110220211222112 In base 13, what is -384a4 - -2a? -38477 In base 5, what is 3023342 + -40022? 2433320 In base 5, what is 2223424142 - -1? 2223424143 In base 2, what is -10 - 10101100111110000100011111? -10101100111110000100100001 In base 10, what is 4530755 + 10? 4530765 In base 12, what is -316563 + 14? -31654b In base 16, what is 6471 + 4979? adea In base 5, what is -100 - -100341223? 100341123 In base 6, what is 11432451122 + -2? 11432451120 In base 13, what is -64862a + -c? -648639 In base 9, what is -2353 + -15230? -17583 In base 3, what is -10201010101201122 - 2? -10201010101201201 In base 10, what is -53760 + -2830? -56590 In base 9, what is 224 + 63134? 63358 In base 2, what is 1000110011111000010111000 + -100? 1000110011111000010110100 In base 9, what is 11142141 + 3? 11142144 In base 8, what is 247566 + -1? 247565 In base 15, what is 227 - ee9d? -ec76 In base 7, what is 21120135 + -320? 21116515 In base 8, what is 24 + 13225520? 13225544 In base 10, what is 3104267 + 55? 3104322 In base 7, what is -15406152 - -3? -15406146 In base 2, what is -1110110001 - 10100100000111? -10110010111000 In base 5, what is 12000030 - 1334? 11443141 In base 14, what is -31 + -6c2a7? -6c2d8 In base 12, what is 20b4 - -101220? 103314 In base 2, what is 11100011100000010011010 + -11? 11100011100000010010111 In base 6, what is -1 - -5400314000? 5400313555 In base 6, what is -4412223 + 133? -4412050 In base 12, what is 1174 + 8b? 1243 In base 6, what is 2325 - -21422? 24151 In base 5, what is -11 + -13200434413? -13200434424 In base 12, what is -5 - -a6089? a6084 In base 6, what is -402200341 + -43? -402200424 In base 12, what is 5851bb9 + -7? 5851bb2 In base 2, what is -100110101101 - 11100111100? -1000011101001 In base 13, what is 5 + 7472c? 74734 In base 13, what is -a1c + 3ab5? 3096 In base 7, what is -11 - 163631153? -163631164 In base 3, what is 1000022 + -10112012001? -10111011202 In base 4, what is 21031300123 - 2? 21031300121 In base 14, what is 36a2da + 4? 36a300 In base 8, what is 3232 - -3043? 6275 In base 8, what is -3 + 4174155? 4174152 In base 4, what is 103 - 31312120000? -31312113231 In base 10, what is 139951050 + -6? 139951044 In base 14, what is -345798 - -18? -345780 In base 7, what is 506 - -151032? 151541 In base 2, what is 111100100111 + 10000010001110? 10111110110101 In base 10, what is -8472820 - -64? -8472756 In base 7, what is -566 + -23533? -24432 In base 15, what is 6d7bc3 + 23? 6d7be6 In base 10, what is -40974 - 493? -41467 In base 3, what is 12 + 2011022222001001? 2011022222001020 In base 4, what is -1131 - 20033110? -20100301 In base 13, what is -1b47 - 12769? -145b3 In base 10, what is -31677 - -159? -31518 In base 7, what is -35016212 + 4? -35016205 In base 12, what is -4 - 491150? -491154 In base 16, what is -4e164e6 - 0? -4e164e6 In base 4, what is 11 - -321230313113? 321230313130 In base 6, what is -24135003 + 212? -24134351 In base 14, what is 29 - -101c07c? 101c0a7 In base 9, what is 3 - 235078274? -235078271 In base 7, what is -204614 - -262? -204322 In base 6, what is -4 + 3250022? 3250014 In base 12, what is a6 - -535391? 535477 In base 7, what is 61313552 - 10? 61313542 In base 3, what is -11111010210212 + -1? -11111010210220 In base 15, what is -6 + -de9756? -de975c In base 8, what is 7655 - -1236? 11113 In base 9, what is -6865 - -755? -6110 In base 14, what is -143 - -c553? c410 In base 2, what is -1001111 + 100010110000? 100001100001 In base 12, what is a + -84a3? -8495 In base 14, what is 11 - -14340c? 14341d In base 4, what is -1020 - 22103301? -22110321 In base 13, what is 3 - -8798348? 879834b In base 12, what is 2876b - b? 28760 In base 11, what is 108 + -1a9293? -1a9186 In base 8, what is -457240247 + -16? -457240265 In base 11, what is 1 + 582974? 582975 In base 10, what is -7 + -15680953? -15680960 In base 10, what is 4 - 49596718? -49596714 In base 3, what is -12122112121011 + -2? -12122112121020 In base 11, what is 1034aa69 - -14? 1034aa82 In base 14, what is -130 - 2a0b7? -2a207 In base 11, what is -205945 + -560? -2063a5 In base 15, what is c29e + -ee6? b2a8 In base 14, what is -214cc + -206? -216d4 In base 5, what is 2042 + 111422022? 111424114 In base 9, what is -234377 + 438? -233838 In base 6, what is 2122423 + 1355? 2124222 In base 15, what is -3e050bb8 + 5? -3e050bb3 In base 16, what is -8c1 - -3b7a? 32b9 In base 9, what is 0 - -12623401? 12623401 In base 7, what is 4 - 162333513? -162333506 In base 6, what is 3 - 5204005321? -5204005314 In base 5, what is 10 - -1411413234? 1411413244 In base 14, what is -c255 - -424? -bc31 In base 3, what is 12121002 - -2120120210? 2210011212 In base 2, what is 1101000010111011 + 110111001010? 1101111010000101 In base 15, what is -3cc3b + -236? -3ce72 In base 3, what is -12 + 11200011121112? 11200011121100 In base 2, what is 11111111000000100110011110 - 10001? 11111111000000100110001101 In
{ "pile_set_name": "DM Mathematics" }
. 23 Rearrange (-3*d + 4*d + d + (1 + 1 - 3)*(d - 4 + 4) - 4*d + d + d + 0*d - 2*d + 6*d + (-3 - 1 + 6)*(-d + 0 + 0))*(-2 + 2 - d) to n + k*d + s*d**2 and give s. -1 Express 1 + 6*q + 0 - q - 25*q**2 + 24*q**2 as b + r*q**2 + w*q and give w. 5 Express r - 596*r**4 + 1 - 3*r**3 + 595*r**4 + 5*r**3 in the form q*r**2 + m*r**4 + h*r + y + p*r**3 and give h. 1 Rearrange 238*a**2 - 8 - 5 - 3*a**3 - 238*a**2 to the form t*a**3 + f*a + r + w*a**2 and give w. 0 Rearrange 2*f - 2 + f**3 + 5*f - 5*f to the form d*f + a + y*f**2 + h*f**3 and give d. 2 Express -d**3 + 2*d**2 + d**3 + 2*d**3 - 3 - 4*d**2 in the form z*d**3 + y*d + o*d**2 + u and give o. -2 Rearrange 2*f**3 - 2 + 37*f**2 - 21*f**2 - 2*f + 0*f**3 + 0 to r*f + d + z*f**3 + w*f**2 and give w. 16 Rearrange -11*k**3 - 14*k**3 + 4*k**4 - 13*k**4 - 2*k + 2 + 23*k**3 to r + m*k + s*k**4 + t*k**2 + d*k**3 and give s. -9 Express (2*v - 3*v - v)*(6*v - 2*v - v)*(5 + v - 5) in the form b*v + x*v**3 + t*v**2 + s and give t. 0 Express 0*f**3 + 0*f**3 + 2*f**3 + (-9*f**2 - 17*f**2 + 14*f**2)*(-3*f + 6*f - 2*f) in the form k*f + u + v*f**2 + x*f**3 and give x. -10 Express (-3 - 4 + 5 + 4 - 5 + 3 - 2 + 1 + 3 - 2 + 1 - 1 + 2 - 2 - 2 + (1 + 2 - 4)*(-3 - 1 + 3))*(3*f - 2*f + 3*f) in the form g*f + t and give g. -4 Express -2370*t + 2370*t + 3*t**2 - t**2 - 3*t**2 + 2*t**2 + (-2*t + t + 3*t)*(-t + 0*t + 3*t) in the form f*t**2 + c + q*t and give f. 5 Express (y - y + y**2 + (-1 - 4 + 1)*(-y**2 + y**2 + 2*y**2))*(0 + 6*y + 0) in the form x*y**3 + a*y + l*y**2 + g and give x. -42 Express 1 + 4*m**4 - 2*m**2 + 0*m**4 + 3*m**2 in the form f*m**2 + x*m**3 + c*m**4 + w*m + a and give a. 1 Express 2*s**2 - s**2 - 2 - 2 as z*s + q + g*s**2 and give g. 1 Rearrange (4*w - 2*w + 0*w)*(4*w - 2*w - w) - 36*w**2 - 23*w**2 + 145*w**2 to the form t*w**2 + s*w + b and give t. 88 Express 3*k**3 - 3*k**2 - k**2 - k**2 in the form t*k + r + w*k**2 + b*k**3 and give w. -5 Rearrange (3 + 2 + 0)*(-7*b - 2*b - 2*b)*(-3 + 4 + 0) to h*b + o and give h. -55 Express -y + 3879*y**2 - 3879*y**2 - 6*y**4 + 4 + 2*y**3 in the form a*y**3 + w + u*y**4 + r*y + s*y**2 and give w. 4 Rearrange -35*y + 5*y**4 + 34*y - 2*y**3 - 3*y**4 + 2*y**2 to l + d*y + r*y**3 + x*y**4 + s*y**2 and give r. -2 Express (-7 - t + 4 + 4)*(3*t + t - t) as s*t + p + f*t**2 and give s. 3 Express -3*f - 5*f**3 + 4*f**4 + 4*f - 2*f**2 + 3*f**3 in the form w*f**4 + m*f**2 + p + y*f**3 + s*f and give w. 4 Express 2*h**2 - 7*h**4 + h**4 - 47 + 46 as m*h**4 + u*h + n + c*h**3 + a*h**2 and give m. -6 Express -l**3 + 3*l**4 + 2 - 2*l**4 + 0*l**4 in the form f*l + x*l**4 + y*l**2 + o + d*l**3 and give y. 0 Express (0*r - 4*r + r)*(-1 + 1 + 1)*(r - 5*r + 3*r)*(1 - 1 + 1)*(1 - 10 + 3) as z + w*r**2 + a*r and give w. -18 Rearrange (0 - 2 + 1 + g)*(-10*g + 36*g - g) to o*g + j*g**2 + b and give j. 25 Rearrange -16*p + 0 + 5 - 5 to b*p + k and give b. -16 Rearrange 4 + 2*h + 252*h**2 + 5*h**3 - 251*h**2 - h to the form u + a*h**2 + v*h**3 + t*h and give a. 1 Express 6 + 12 - 11*n**2 - 20 in the form j + b*n**2 + v*n and give b. -11 Rearrange (2*m - 2*m + 2*m)*(-12*m + 10*m + 5 + 6) to j + s*m + q*m**2 and give s. 22 Rearrange (3*f - f - f + (-4 + 3 + 2)*(2*f + 4*f - 5*f) - 2 + 2 - 2*f - 3*f + f + 0*f)*(-5*f + 7*f - 11*f) to c + l*f**2 + p*f and give l. 18 Rearrange (f + 5*f - 4*f)*((-f - 4*f + 6*f)*(7*f + 3*f + 2*f) + 2*f**2 - 2*f**2 - 2*f**2) to o*f + b*f**2 + v*f**3 + g and give v. 20 Express -f + 0*f - f + 3*f**3 + 5*f - 4*f**3 - 5*f + (-2*f**2 - f**2 + 2*f**2)*(2 - 2 - f) + 3*f**3 + f**3 - 3*f**3 as g*f + m + o*f**3 + p*f**2 and give o. 1 Rearrange -2*b + b**2 + 2*b + (3*b - 3*b + b)*(-b + 0*b + 3*b) + 6*b - 2*b**2 - 6*b + (1 - 2*b**2 - 1)*(-1 + 0 + 3) to the form g*b**2 + y + h*b and give y. 0 Rearrange (5 - w - 103*w**2 - 1 + 130*w**2)*(3 - 5 + 4) to the form u*w + g + d*w**2 and give d. 54 Rearrange 18 - 11*t - 2*t**3 - 6 - 3*t**2 - 10 to m*t + k + l*t**2 + f*t**3 and give l. -3 Express 2*i - 3*i**4 - 2*i**2 - 5 + 4 + 2 + i in the form r*i**4 + p*i**2 + b + t*i + c*i**3 and give r. -3 Rearrange (9*n + 12*n - 6*n)*(0 + n - 2 - 3*n) to the form r*n**2 + z*n + w and give r. -30 Express 3*p**3 - 37*p**2 + 35*p**2 + 4*p - 3*p**3 + 2*p**4 as c*p**2 + i + f*p + n*p**4 + o*p**3 and give c. -2 Express t**2 - t**3 - t**2 + (-t**2 - t**2 + t**2)*(-2 + 2*t + 2) - 14*t**3 + 11*t**3 + 2*t**3 + 2*t**3 + 0*t + 0*t as r*t + y + u*t**3 + o*t**2 and give u. -2 Express -6 - i**4 + 2*i + 4 - i + 0*i**4 as u*i**4 + l*i**2 + f + x*i + b*i**3 and give u. -1 Express 13*k - 11 + 2*k**2 - 25*k + 15*k as i*k + p + g*k**2 and give g. 2 Rearrange (2*f**2 + 0 + 0)*(-1 + 4 - 4*f**2 - 5) to g*f + x*f**3 + n*f**2 + v + w*f**4 and give n. -4 Rearrange 58*c - 58*c + 24*c**2 to x*c**2 + z + i*c and give x. 24 Rearrange ((-1 + 0 + 3)*(-4 + 3 + 4) - 2 + 0 + 0)*(0 + 0 + u - 2*u - 1 + 1 + 3 + 2*u - 3 + (0*u + 0*u - 2*u)*(-2 - 1 + 1)) to the form n*u + g and give n. 20 Rearrange x - 12 + x + 12 to w*x + h and give w. 2 Rearrange (3*m - 2*m + 0*m)*(-2 + 2 - 2 + (-2 + 1 - 6)*(-1 - 3 + 2)) to i + a*m and give a. 12 Express (3 - 3 + 3*k)*(0*k - k + 3*k + 1 - 1 + k + 2*k + k - k + (-2 - 2 + 5)*(k + k - 3*k) + 4*k + 2*k - 3*k) as f*k + b*k**2 + c and give b. 21 Express 0 - 2*t**3 - 59*t + 2 + 0*t**3 + 58*t as b*t**2 + s + z*t**3 + d*t and give z. -2 Express 6*y**2 - 26*y**2 - 26*y**2 + 0 + 1 as s + n*y + b*y**2 and give s. 1 Express (0*l - l - l)*(-47 + 13 - 12) as b + s*l and give s. 92 Express o**4 - 1 + 0*o**2 - 10*o**4 - 2*o**2 + 0 as g*o**4 + u + h*o**3 + t*o + a*o**2 and give a. -2 Express (u**4 + 198*u + u**2 - 198*u)*(-1 + 4 - 2) as d*u**3 + p*u**4 + c*u + a + z*u**2 and give z. 1 Rearrange (-2*o**2 - 5*o**2 + 5*o**2)*(1 + o - 1) - 50 + 24 + 25 - 2*o**3 to f*o**3 + a*o**2 + k*o + w and give a. 0 Express -15*b - 115*b**2 + 228*b**2 - 112*b**2 in the form d + o*b**2 + g*b and give o. 1 Express -27*o**3 + 11*o**3 - 258*o**4 - o**2 + 2*o**2 + 256*o**4 as s*o + c*o**2 + i + y*o**3 + h*o**4 and give c. 1 Rearrange (0 + i + 0)*(-1 + 2*i + 1) + 5*i**2 + 0*i**2 - i**2 to s*i + o*i**2 + u and give o. 6 Express 209 - j**3 + 0*j**3 - 210 as y*j**3 + f + r*j + o*j**2 and give y. -1 Rearrange (18*l - 18*l - 18*l**3)*(-4 + 3*l + 4) to s*l**4 + b*l**3 + v + f*l**2 + a*l and give b. 0 Rearrange 57 + 4*y**2 + y**4 - 58 - 2*y**3 - 4*y**2 to the form k*y**2 + i + z*y**4 + v*y**3 + o*y and give i. -1 Rearrange (4 - 4 + 1)*(3*u - 3*u + u)*(0 - 1 - 1)*(-2 + 3 - 2) to r*u + h and give h. 0 Rearrange -v - 9*v**2 - 8*v**3 + 3*v + 7*v**3 to the form k + l*v**2 + r*v**3 + d*v and give r. -1 Express -45 + 85 + 36 - i as j*i + n and give j. -1 Rearrange -2*o - 131*o**3 + 125*o**3 - 2 + 0 to the form j + z*o**3 + d*o + s*o**2 and give j. -2 Rearrange -7*w**2 + 4*w**2 - w**2 - w**2 to u + d*w**2 + f*w and give f. 0 Express (-c + 4*c - c)*(-2*c**2 + 2*c**2 + 2*c**3) + 2 - 8*c**4 + 2*c**2 - 4*c**2 + 9*c**4 as y*c**3 + k*c**2 + s*c + x*c**4 + h and give y. 0 Rearrange (-228*q + 227*q - q**2 + 8*q**2)*(3 - 7 + 2) to z*q + o*q**2 + h and give h. 0 Express (-2 - 4*m - 6*m + 8*m)*(14*m**2 - 8*m**2 - 9*m**2) in the form x*m**3 + t*m + r + n*m**2 and give x. 6 Express 2*y**2 - 3*y**3 - 2*y - 4*y**2 + 0*y + y**3 as z*y + l*y**2 + t*y**3 + s and give t. -2 Express (w - 32*w - 8*w)*(-2*w - w + 4*w) as u*w + s*w**2 + q and give s. -39 Express (3 + 2 - 2)*(-3 + 3 + b)*(-2 + 2 - 2*b**3) in the form z*b**3 + p*b**2 + i*b**4 + x + y*b and give i. -6 Express 5*k**2 + 4*k**4 - 2*k**3 - 4*k**2 + 2*k + 6*k**4 - 11*k**4 - 3 in the form h + v*k**4 + s*k**2 + p*k + i*k**3 and give p. 2 Express -154*f + 38*f**2 + 153*f - 13*f**2 as a + o*f**2 + p*f and give a. 0 Rearrange -4*j**3 + 2 + 2*j**3 + 4*j**3 - 4 to the form b*j + v*j**2 + d*j**3 + c and give d. 2 Rearrange 9*o**2 - 4*o**2 - 12*o**2 - 20*o**2 to the form q*o**2 + t + k*o and give q. -27 Express 2*f**3 + 2*f**3 - 3*f**3 + (3*f**2 - 2 + 2)*(1 + 1 - 1)*(-3 + 3 + 3*f)*(2 - 4 - 1) in the form n*f**2 + o*f**3 + q*f + p and give n. 0 Express -994 + 994 + 17*j**2 + j**3 as g*j**2 + w*j + x*j**3 + a and give g. 17 Express (5 + 10 + 17)*(q + 0*q - 2*q) in the form z*q + c and give z. -32 Express 4*t**4 + 0*t**4 - 5*t**4 + (-3*t - t + t)*(-2*t**2 + 2*t**2 + t**3) as d*t**4 + v*t + i*t**3 + s*t**2 + n and give d. -4 Rear
{ "pile_set_name": "DM Mathematics" }
e of 1/(-1)*-1*(-4)/(-1)? 4 What is (-6)/(-8)*2/(-3)? -1/2 What is (6/(-10))/(1143/(-2540))? 4/3 What is ((-12)/2*(-1)/(-3))/2? -1 Evaluate 3/(-78)*-2*-2. -2/13 Calculate -21*17/(-1428)*8/7. 2/7 Calculate ((-12)/168)/1*-6. 3/7 Evaluate ((-798)/(-112))/(-19)*(-2)/1. 3/4 -12*(-36)/45*(-10)/(-12) 8 (-2)/(-18)*12/2 2/3 Evaluate ((72/(-162))/(-2))/(2/15). 5/3 Calculate ((-2)/15)/((-80)/(-100)). -1/6 What is ((-2)/3)/(224/96)? -2/7 What is ((-1)/((-6)/(-6)))/((-1)/(-5))? -5 What is ((-3)/2)/(21*6/(-36))? 3/7 Calculate (3/12*12)/(1/(-1)). -3 Calculate 0/(1*6/(-6)). 0 What is the value of 2/40*-4*5*1? -1 What is (-4)/14*1*1/(-2)? 1/7 What is the value of 8/(-42)*-2*35/(-60)? -2/9 What is (5/10)/((-36)/24)? -1/3 Calculate (14*(-17)/(-238))/((-1)/2). -2 Calculate (40/4*3/3)/(-2). -5 What is the value of ((-2)/8)/(18/(-24))? 1/3 0/(4/((-20)/(-5))) 0 What is the value of -4*((-30)/5)/108? 2/9 Evaluate (31/(-31))/((-10)/(-8)*-10). 2/25 ((-4)/28)/(128/112) -1/8 Calculate ((-3)/(-6))/((-16)/(-24)). 3/4 What is the value of (9/30)/(1/(-4)*3)? -2/5 (4/(-8))/((7/(-10))/(-7)) -5 What is 6/40*944/177? 4/5 What is the value of ((-6)/(-1))/((-126)/(-14))? 2/3 Evaluate ((-4)/6)/((-2)/9). 3 Calculate (30/180)/((-2)/(-60)). 5 Evaluate (2/(-2))/(570/342). -3/5 What is the value of (-15)/6*(-25)/((-875)/42)? -3 What is the value of 20/570*(-3)/(-1)? 2/19 What is the value of 1/((-1)/(-6)*33)? 2/11 Calculate (8/10)/(648/(-486)). -3/5 What is (-4)/45*585/(-234)? 2/9 Evaluate (6*(-10)/80)/((-36)/16). 1/3 Evaluate (385/308)/(1/4). 5 What is the value of (9/15)/((-44)/220)? -3 What is ((-8)/10)/(13/65)? -4 What is 4/6*(-240)/800? -1/5 3/18*27/18 1/4 What is (36/(-45))/(44/10)? -2/11 What is the value of (28/8)/7*-1? -1/2 Evaluate (2/2)/((-17)/(-51)). 3 What is ((-36)/15)/3*45/90? -2/5 What is the value of 6/(-5)*(-50)/15? 4 (5/(-3))/(50/210) -7 Calculate -15*12/(-150)*5. 6 Evaluate (36/24)/((-9)/12). -2 Evaluate 24/(-60)*-5*(-1)/2. -1 What is 5*5/(-450)*(-36)/8? 1/4 Evaluate ((-114)/76)/(3/8). -4 Calculate (-7)/15*(-969)/2261. 1/5 Evaluate (8/34)/(4/(-2)). -2/17 Calculate (-24)/(-80)*1*125/30. 5/4 4/((-20)/3)*(-10)/(-1) -6 Evaluate 252/(-28)*4/(-4). 9 What is the value of ((-2)/51)/((-10)/(-30))? -2/17 What is the value of ((-72)/(-84))/(15/14)? 4/5 What is 18/(-12)*14/28? -3/4 Calculate (-15)/(945/18)*1*-28. 8 What is the value of (-189)/21*(-6)/18? 3 What is the value of (-8)/6*(-1020)/272? 5 What is the value of 0*(-9)/6*1/(-3)? 0 1/((468/(-8))/9) -2/13 Evaluate (-1)/2*(-3)/((-27)/(-90)). 5 (-456)/(-380)*(-10)/32 -3/8 ((-4)/14)/(7/(-7)) 2/7 Evaluate ((4/7)/1)/(9/(-63)). -4 Calculate ((2/4)/(20/(-240)))/(-1). 6 What is (-264)/726*(-22)/3? 8/3 (-12)/9*((-21)/2)/(-7) -2 Calculate (3/(-18))/1*396/66. -1 What is ((-2)/(-50)*5)/1? 1/5 Evaluate 4/(-6)*7/(-28)*2. 1/3 Evaluate 7/28*8/(-8). -1/4 Calculate (14/(-7))/(-5*10/(-75)). -3 What is the value of ((-7)/((-490)/8))/((-8)/(-28))? 2/5 What is (-3)/(21/56*4)? -2 ((-1)/6)/(4/36) -3/2 Evaluate (4/(-30)*3)/((-6)/60). 4 What is the value of ((-4)/(28/(-7)))/((-1)/(-3))? 3 What is the value of 2*((-45)/(-2))/(-9)? -5 Evaluate ((-248)/620)/(((-2)/(-2))/15). -6 Calculate (48/6)/(2/(-6)*-6). 4 Evaluate ((-28)/(-12))/(15/(-45)). -7 Evaluate ((27/(-36))/1)/(6/(-32)). 4 Calculate ((-12)/(-48))/((-30)/(-16)). 2/15 What is the value of (-2*4/80)/((-2)/(-8))? -2/5 Calculate 2/(-2*(-3)/(-3)). -1 What is the value of (6/(-5))/((-24)/60)? 3 What is (-27)/90*10/(-12)*12? 3 What is the value of (15/(-150)*5)/((-9)/6)? 1/3 (18/30)/((-90)/(-25)) 1/6 Evaluate 18/4*(-7)/(-42). 3/4 What is (1*(-3)/30)/(18/36)? -1/5 What is (-5*1)/(9/9)? -5 ((-4)/(-9))/(-10*(-6)/45) 1/3 Evaluate (-18)/((-6)/2)*17/(-85). -6/5 Evaluate 6/(-8)*(-4)/18. 1/6 What is 30/35*-5*(-7)/3? 10 What is the value of ((32/(-12))/4)/(1/(-3))? 2 Calculate 16/12*-1*(-6)/(-20). -2/5 What is (28/147)/(2/(-3))? -2/7 What is the value of 1/(1/1*(-33)/165)? -5 Calculate ((-3)/5)/(5*14/(-175)). 3/2 What is the value of 63/(-14)*3*(-2)/9? 3 Calculate 17*5/34*2/10. 1/2 What is the value of (-4)/(-9)*(-9)/12? -1/3 What is the value of 5*(-8)/12*(-6)/(-230)? -2/23 What is (7/14*-6)/(2/2)? -3 What is 4/110*5*-1? -2/11 What is the value of ((-3)/(-45))/(52/65)*2? 1/6 Calculate (0/(-3))/((-4)/(-2)). 0 126/12*(-50)/75 -7 What is (-1)/(7/(63/(-15)))? 3/5 What is the value of (13/(-13))/(1*-5)? 1/5 What is the value of ((-3)/1)/(6/(-16)*2)? 4 Calculate (-4)/(8/(-6))*(-4)/(-4). 3 (((-10)/9)/(-1))/(50/75) 5/3 What is (2/9*3)/(5/60)? 8 (0/(-5))/((-10)/5) 0 (-14)/210*(-6)/2 1/5 What is the value of ((-12)/1)/(-4)*12/(-81)? -4/9 8*((-4)/(-8))/1 4 ((-16)/18)/((-12)/18) 4/3 What is (-3)/(18/3)*(-4)/4? 1/2 (-49)/(-4)*(-16)/(-28) 7 Evaluate 1*((-36)/30)/(4/(-20)). 6 Evaluate 5/(((-18)/(-48))/(21/(-28))). -10 Evaluate (((-42)/7)/(-1))/(-1). -6 Evaluate (2*(-7)/28)/5. -1/10 Evaluate (-2)/((-20)/7)*(-8)/(-14). 2/5 Calculate (-24)/32*1*(-8)/(-4). -3/2 What is 1/(-4)*15/((-360)/64)? 2/3 Evaluate (36/(-324))/(2/12). -2/3 What is 15*((-72)/40)/(-9)? 3 Evaluate (8/((-8)/1))/(-1). 1 Evaluate 384/64*3/((-9)/(-2)). 4 What is the value of ((-4)/(-16)*-9)/(-1*3)? 3/4 Evaluate (-3)/(-3)*-1*-4. 4 What is the value of 0/(16/12*3)? 0 Calculate ((-9)/(-126))/(3/(-21)*2). -1/4 Calculate (-21)/(-3)*36/(-42). -6 What is (-9)/(-60)*8/9? 2/15 (35/(-7))/(-25)*15 3 Calculate ((-165)/220)/((-1)/(-2)*1). -3/2 (40/(-50))/(8/60) -6 What is 3/(-27)*(-13)/(-91)*-7? 1/9 ((-4)/(-4))/((-3)/(-15)) 5 What is the value of (-2)/((-3)/(45/10))? 3 What is the value of ((-2)/(-3))/(4/(-30))? -5 ((-12)/(-9))/((-4)/6) -2 Evaluate ((-15)/36)/(5*2/4). -1/6 What is the value of (12/9)/(136/(-510))? -5 Evaluate ((-1)/(-2))/(-9*1/2). -1/9 Calculate ((-10)/20)/(2/(-8)). 2 What is ((-18)/(-6))/1*(-4)/(-6)? 2 Calculate ((-150)/250)/((-1)/1). 3/5 Evaluate 19/(1710/20)*2/1. 4/9 Calculate 7/6*168/28. 7 (-2)/((-3)/((-18)/60)) -1/5 Calculate 18/(-63)*(27/6)/3. -3/7 What is the value of (1/10)/((-16)/40)? -1/4 Evaluate 5/(30/(-16))*63/308. -6/11 What is the value of ((-54)/(-45))/((39/(-10))/13)? -4 What is 2/((-17)/((-51)/(-18)))? -1/3 Calculate 0/((3/1)/3). 0 2/(-10)*(-25)/25 1/5 Calculate (15/(-10))/(17/(-68)). 6 Evaluate ((-297)/(-198))/(6/(-1)). -1/4 Evaluate ((-24)/14)/((-13)/((-546)/(-12))). 6 What is ((-8)/14)/((-6)/(-3))? -2/7 What is the value of 96/128*(-10)/3*2? -5 Calculate (4/42)/((-3)/9). -2/7 What is ((-1)/(-3))/(20/60)? 1 What is the value of (-2)/(-4)*(-40)/45? -4/9 What is the value of ((48/(-12))/36)/(2/(-12))? 2/3 -1*1/(-3*(-2)/(-6)) 1 What is (-24)/(-140)*(-35)/14? -3/7 What is the value of (120/50)/(-12)*(-2)/(-4)? -1/10 1/(((-12)/(-6))/14) 7 Calculate (-24)/28*(-119)/(-170). -3/5 Evaluate (5/(60/(-64)))/((-28)/42). 8 (-4)/24*3*6 -3 What is -4*17/(204/(-21))? 7 Evaluate (-14)/4*((-105)/98)/(-5). -3/4 What is ((-2)/(-12)*27)/9? 1/2 Calculate -5*(-18)/75*(-135)/54. -3 (3/(-13)*-1)/((-12)/8) -2/13 Calculate (34/102)/(6/(-4)). -2/9 Calculate -36*18/243*-3. 8 Calculate 1/(((-10)/6)/(-5)). 3 Evaluate ((-1)/(-4)*-3)/((-57)/(-190)). -5/2 ((-3)/9)/(7/105) -5 What is the value of 1/6*2*2? 2/3 Evaluate ((-8)/10)/(6/(-15)). 2 What is the value of ((-6)/(-4))/(9/(-48))? -8 32/80*(-15)/1 -6 Calculate (1*6/(-7))/(369/1722). -4 What is (-48)/18*3/2? -4 What is 3/(-24)*-10*(-32)/8? -5 Evaluate -11*((-24)/(-8))/(-33). 1 Evaluate (4/(4/(-1)))/((-27)/(-189)). -7 Evaluate (((-28)/(-24))/(-7))/(1/(-9)). 3/2 What is (-4)/16*72/9*-2? 4 What is (-6)/(-3)*((-24)/28)/(-6)? 2/7 Evaluate ((-63)/28)/(1/4*-6). 3/2 (20/(-30))/2*-9 3 Evaluate (6/68)/((-84)/(-112)). 2/17 What is (2/18)/(64/(-288))? -1/2 Calculate (42/(-7))/((-4)/(24/(-9))). -4 What is the value of 1/((-2)/(-2)*-4)? -1/4 What is (-10)/(-34)*((-48)/30)/(-4)? 2/17 Calculate (56/350)/(2*(-2)/(-10)). 2/5 What is ((-6)/(-8)*-2)/((-6)/2)? 1/2 Evaluate 48/2*18/72. 6 Evaluate ((-10)/(-130))/((-1)/(-2)*-1). -2/13 0/(9/((-27)/6)) 0 What is 1*-6*1/2? -3 (50/4*(-42)/210)/(-3) 5/6 What is 2/((-8)/4)*(-12)/20? 3/5 What is 36/45*(-35)/14? -2 What is the value of ((-32)/(-6))/2*10/(-120)? -2/9 Calculate 15/3*(-3)/5. -3 What is the value of (3/(-3))/((-12)/6)*4? 2 (63/(-18))/((-5)/10) 7 7/1*(-4)/(-7)*-1 -4 (1/(4/4))/(2/(-2)) -1 Evaluate 117/117*1/(-5)*1. -1/5 Calculate ((-12)/36)/((6/(-9))/(-2)). -1 What is 12/8*5/((-30)/(-4)
{ "pile_set_name": "DM Mathematics" }
vative of z**5/60 - 5*z**4/24 - 5*z**3/3 + 2*z**2. Let b be s(-7). Let k = b + -48. Is k a multiple of 9? False Let d = 13 + -12. Suppose -17 - d = -2*b. Does 4 divide b? False Suppose 0*q - 2 = -q. Let v(f) = 2*f**2 - 2. Let l be v(q). Is 14 a factor of l/(-9)*3 + 24? False Let j = 8 + -5. Does 15 divide j - 1*(-2 + -14)? False Let k be -4 - 94/((-8)/(-4)). Let v = 129 + k. Is 29 a factor of v? False Let g = -113 + 194. Does 27 divide g? True Let z = 37 + -17. Is z a multiple of 7? False Let b(m) = 25*m**2 + m + 1. Let d be b(-1). Suppose -z = 4*z + 5*t + 5, 5*t = -d. Is z a multiple of 3? False Suppose -p - 2*b + 10 = -0*p, 20 = p + 4*b. Suppose o + p*j = -4*j + 38, 2*j = 4. Is o a multiple of 22? False Suppose 4*l + 9 - 113 = 0. Suppose -5*f = 4*o + 3 + 3, 2*f = -3*o - 8. Suppose l = 5*c + 4*v - v, 0 = 3*c - f*v - 8. Does 3 divide c? False Let j(d) = -d**2 - d + 3. Let x be j(0). Suppose 4*p - 17 = -n - 72, 25 = -x*p - 4*n. Does 5 divide 23/5 - 6/p? True Let t(q) = -q + 7. Let f be t(4). Suppose 2*l + 3*a = 0, 0*a - 16 = -4*l - 2*a. Suppose -f*j - 81 = -l*j + 3*r, 4*j + r - 103 = 0. Is j a multiple of 13? True Is 0 + (-4)/(-12) + (-83)/(-3) a multiple of 13? False Let z(d) = d**3 + 10*d**2 - 3*d - 15. Let q be (-40)/(-2)*(-5)/10. Is z(q) a multiple of 5? True Let r be 8 + (0 - -3)/(-1). Is (1 - r)/(-2)*26 a multiple of 23? False Let x(g) = -2*g**3 - g**2 + g + 1. Let d be x(-2). Suppose -4*o + f = -112, 4*f + d = 2*o - 31. Is 11 a factor of o? False Let f(s) be the second derivative of 4*s**4/3 + s**3/6 + s**2/2 - 3*s. Is f(-1) a multiple of 8? True Does 10 divide (-170)/25*15/(-6)? False Let j(b) = 7*b**2 + b - 1. Let u be j(1). Let i = u - 5. Suppose 5*w + 3 = 2*m, -i*m - 4*w = -5*m + 22. Is m a multiple of 7? True Suppose 0 = -2*g - 3*x, 2*g = -5*x - 2 + 6. Let a = -1 - g. Let b(c) = 2*c**2 + 1. Is b(a) a multiple of 6? False Suppose 86 = -4*t - 2*v, 0 = 4*v - v - 15. Let y(u) = -7*u - 3. Let i be y(-6). Let b = t + i. Is b a multiple of 15? True Let o = -9 - -119. Is o a multiple of 22? True Let l(j) = -j**2 + 2*j - 10. Let p be l(11). Let z = p - -192. Is 19 a factor of z? False Is 25 a factor of (-66 + -1)/(8 - 9)? False Let f(r) = -2*r - 2*r + 15*r + 9*r. Let c be f(-1). Let x = c - -40. Is 10 a factor of x? True Let q(v) = -4*v - 5. Let r(i) = -9*i - 9. Let d(g) = -7*q(g) + 3*r(g). Let w be d(-5). Suppose 104 = -w*t + 5*t. Is t a multiple of 29? False Let z be (-1)/(((-3)/2)/3). Suppose -q + z*g = -6*q + 94, 3*q - 4*g = 72. Is 6 a factor of q? False Let x(u) = u**3 + 16*u**2 - 23*u - 10. Does 23 divide x(-17)? True Let t(b) = b**2 + b + 121. Does 16 divide t(0)? False Let v = 11 - 7. Let g(o) = o**2 - 2*o - 2. Is g(v) a multiple of 6? True Suppose 6 = 4*f - 2. Let r(m) = -m**2 + 2*m + m + 9*m + f*m - 15. Is r(10) a multiple of 13? False Let h(v) = v**2 + 4*v - 3. Is 6 a factor of h(3)? True Let g(o) = o**3 + 6*o**2 + 4*o + 1. Suppose -4*x + 9 - 29 = 0. Is 3 a factor of g(x)? True Let i(v) = 2*v**2 + 12*v - 1. Does 2 divide i(-7)? False Suppose -v = 3*x - 8, 5*x + 9 = -4*v + 20. Suppose 0 = -j + x*j - 2. Is 6*j/((-9)/(-12)) a multiple of 3? False Suppose -v = -5*f + 2*f - 13, 0 = 5*v + 5*f - 5. Suppose 0 = -5*b + v*b + 32. Is 16 a factor of b? True Let h(p) = -8*p - 8. Let i = -20 + 8. Let m be (7/14)/(1/i). Does 20 divide h(m)? True Let p = 1 - -1. Suppose -5*r + 9 = -p*t + t, 3*r + 3*t = -9. Let u(w) = 24*w**3 + w**2 - w + 1. Does 9 divide u(r)? False Let d(i) = 4 + 1 - 5*i + i + i**2. Let p be d(6). Suppose 5*b = 4*g - p, -2*g + 5*b = g - 9. Is 4 a factor of g? True Let y(t) = -t**2 + t + 38. Is y(0) a multiple of 16? False Let k(v) = 2*v**3 + 2*v - 1. Let s be k(1). Let f = 68 + -17. Suppose -3*u - z = -57, -2*u + s*z - f = -5*u. Is 8 a factor of u? False Let o = 7 + -5. Does 5 divide (1 + o)*17/3? False Suppose 2*d = -b + 113, b + b + 44 = d. Let s = d + -26. Does 14 divide s? True Suppose 4*a = -7*a + 748. Does 36 divide a? False Suppose -4*k + 49 = -3*o, k - 10 - 6 = 2*o. Suppose -3*y + k = -92. Is 6 a factor of y? False Let d be 20/(-6)*9/(-6). Suppose -d*t - 4 = -29. Suppose 4*r = -t*p + 15 + 95, 0 = 4*p + 2*r - 82. Is p a multiple of 18? True Suppose -13*z = -15*z + 120. Is z a multiple of 53? False Let n(d) = -2 + 3 - 3*d + 2*d. Let v be n(-2). Suppose m = -j - 0*j + 9, 21 = 3*m - v*j. Is m a multiple of 3? False Let l(w) = w**2 - 2. Let r be l(-2). Suppose 0 = -0*p - r*p + 60. Does 10 divide p? True Suppose 4*p - 127 = p + s, 3*s = 4*p - 171. Does 21 divide p? True Suppose -5*i - 3 = 4*w - 1, 11 = 4*i - w. Suppose 2*z - 4 = -0*z - l, i*l = -5*z + 9. Let o(g) = 18*g**3 - g**2 + 2*g - 1. Is o(z) a multiple of 6? True Let y(c) be the third derivative of c**4/4 + 4*c**3/3 + 3*c**2. Is y(4) a multiple of 16? True Is 2 a factor of -3 - (-3 + -2) - -4? True Suppose 3*z - 23 - 19 = 0. Suppose -5*w + z = 3*i, -3*w - 28 = -i - 0. Is 13 a factor of i? True Suppose -7 = -o - 4. Suppose -h - o*h = -120. Is 15 a factor of h? True Suppose -n - 3*n = 4*c - 4, 0 = -c - 3*n - 5. Suppose 2*x = -2*p + 8, 3*x - 2 - 3 = c*p. Does 3 divide x? True Let x = 68 - -12. Let q = x + -53. Is 23 a factor of q? False Let s = -22 + 55. Let z = s + -16. Is z a multiple of 4? False Let h = 10 - 14. Let i be h/(-6)*72/16. Does 9 divide (-3)/((3/(-7))/i)? False Suppose 0 = 3*a + 5*y - 29 - 109, 3*y = 2*a - 92. Suppose d = -x + 5*x + a, 5*d = x + 154. Is 15 a factor of d? True Suppose 9*o = 5*o + 312. Does 16 divide o? False Suppose -3*t - t - 1116 = 0. Let k = -178 - t. Suppose -4*h = -2*b + 44, -5*b + b + k = 5*h. Is b a multiple of 11? False Let o(f) = f - 1 + 3*f + 3*f. Let g(q) = -q**3 - 8*q**2 - 6*q + 9. Let c be g(-7). Is o(c) a multiple of 13? True Let s = -1 + 6. Suppose s = 3*i - 4. Suppose i*u - 48 = 18. Does 10 divide u? False Let w = 27 + 0. Is 9 a factor of w? True Suppose 2*f + 75 = 5*f. Let n = 8 + f. Is n a multiple of 11? True Let y = -45 + 133. Does 11 divide y? True Suppose 0 = -2*h - 4, 4*o - 196 = 2*o - 2*h. Suppose 0 = m - 5*y + 4 - 34, 3*m + y - 10 = 0. Suppose 90 + o = m*l. Is 15 a factor of l? False Let h be (2 - 2)*(0 - 1). Let d(c) be the first derivative of -c**3/3 + c**2/2 + 12*c + 1. Is d(h) a multiple of 5? False Suppose -j + 0*q + q + 7 = 0, q = -5*j + 11. Suppose 2*n = -n + 3*b + 66, -n + 30 = -j*b. Is 6 a factor of n? True Suppose u + 39 = -34. Let y = -25 - u. Does 16 divide y? True Suppose 2*x + 6 = -4*c, 7*c - 2*c = -4*x - 3. Suppose -2*y - 5*w + 124 = 0, 2*y - w = x + 133. Does 14 divide y? False Let l = -4 + 5. Let c = l + 23. Is c a multiple of 12? True Suppose 2*i + 63 = 3*o + 5*i, 39 = 2*o - i. Is 15 a factor of o/(-6)*(-18)/4? True Is -2*((-234)/4 + 2) a multiple of 12? False Is 37 a factor of -1*(-222)/(-4)*8/(-12)? True Let u(x) = -10*x - 14. Is 17 a factor of u(-6)? False Let u(b) = -2*b - 5. Let w be u(-5). Let f(y) = -y**3 + 11*y**2 - 2*y - 5 - 5*y**2 + 0*y + 0*y. Is 5 a factor of f(w)? True Let q(u) = u**3 - u + 44. Is q(0) a multiple of 5? False Suppose -5*h + 0*h = -295. Does 2 divide h? False Suppose -4 - 16 = -4*h. Suppose -s = 2*s - h*i + 8, -3*s - 5*i = -32. Suppose -3 = z + 2*v, z - s*v - 30 + 9 = 0. Does 2 divide z? False Suppose 31 = -0*y + y + b, 0 = 2*y - 2*b - 54. Does 29 divide y? True Let u(d) = d**2 + 8*d - 9. Let c be u(-9). Suppose -a + c*a + 66 = 0. Is 22 a factor of a? True Let r be (-2)/4 + (-255)/(-6). Let i = r - 4. Is 12 a factor of i? False Let n(s) = s + 8. Let g(k) = k + 7. Let c(i) = 3*g(i) - 2*n(i). Let r be -2 - (-1 - 0) - -1. Is c(r) even? False Let b(m) = -m**2 - 4*m + 2. Let n be b(-3). Suppose 3*g - 569 = n*o, 3*g - 4*g + 227 = -2*o. Does 6 divide 5/15 + o/(-6)? False Suppose -2*a - 2*a + 12 = 0. Suppose -2*x - 210 = a*x. Let z = 72 + x. Is 15 a factor of z? True Suppose 3*u - 3*c + 4 = -5, 4*u + 17 = 5*c. Suppose f - u*d = 3*f, -f + 2*d = 0. Suppose f = -3*w + 24. Does 4 divide w? True Let c(a) = -14*a + 8. Does 8 divide c(-3)? False Let t = 35 - -25. Is t a multiple of 6? True Let y = -1 - -3. Suppose 2*w - 25 - 9 = -4*p, 0 = -4*w + y*p + 18. Is 7 a factor of w? True Suppose -19 = -2*p - 5*n, -2*n + 2 = -3*p + p. Suppose -4*j + p*j = -88. Does 15 divide j? False Let v = -97 - -19. Let k(x) = 2*x**3 + 8*x**2 - 6*x - 2. Let a be k(-6). Let m = v - a. Is m a multiple of 16?
{ "pile_set_name": "DM Mathematics" }
d*a, a = -5*m - 17. Let x(y) = 17*y**2 + 4*y - 1. List the prime factors of x(m). 2, 5, 7 Let b = -5551 + 9428. What are the prime factors of b? 3877 Suppose 9*u - 44808 = -16233. Let x = 4654 - u. List the prime factors of x. 3, 17, 29 Suppose -1794 = -3*f - 2*d + 1915, -2*d = f - 1231. Let t = -492 + f. List the prime factors of t. 3, 83 Suppose 163*a = 160*a + 22491. List the prime factors of a. 3, 7, 17 Suppose 28 = 2*l + 26. List the prime factors of (l - 0)/(295020/21072 - 14). 2, 439 Let n(p) = 9*p**2 - 18*p - 49. List the prime factors of n(-17). 2, 1429 Let f be (5 - (-44)/(-8))*0. Suppose -2*m + 0*l + 1038 = -4*l, -5*m - 3*l + 2621 = f. List the prime factors of m. 523 Suppose 11*d + 110 = 22*d. Suppose 16 = -d*p + 18*p. Let k(a) = 47*a**2 - 13*a - 2. List the prime factors of k(p). 2, 5 Suppose 5*l = 16778 + 19192. What are the prime factors of l? 2, 3, 11, 109 Let g(b) = -3*b**3 + 19*b**2 + 7*b + 13. Let n be g(7). Let j be 2696/6*n/(-24). Suppose h - 287 = 3*a, -2*a = -4*h + 434 + j. List the prime factors of h. 5, 11 Let s(f) = f**3 + 28*f**2 - f - 35. Let p be s(-28). What are the prime factors of 8/12*(49 + p)? 2, 7 Let r(w) = 449*w**2 + 42*w - 269. What are the prime factors of r(8)? 3, 9601 Suppose 199336 = 68*u - 788432. What are the prime factors of u? 2, 3, 269 Let d(n) = -2*n - 205. Let m be d(12). Let r = 419 - m. What are the prime factors of r? 2, 3 Let z(o) = -o**3 + 11*o**2 + 2*o - 24. Let i be z(11). Let s(r) = -15*r**3 + r**2 - 5*r - 5. What are the prime factors of s(i)? 3, 43 Let y be (-174)/(1/(-12)*2). Let n = y + -681. Let f = n - 216. What are the prime factors of f? 3, 7 Suppose 5*b + 5*y - 14 = 1, -2*b - 5*y = -3. Suppose 20 = b*j, 2*j - 670 = -0*l - 2*l. List the prime factors of l. 2, 3, 5, 11 Let j(f) = -f. Let z(s) = -s**2 + 3*s + 2. Let q(v) = -2*j(v) + z(v). Let w be q(6). What are the prime factors of 6/w*8/(-3)? 2 Let m = 108917 + -48495. What are the prime factors of m? 2, 30211 Suppose 7*l + 25*l - 65451 = 207189. What are the prime factors of l? 2, 3, 5, 71 Suppose -34 - 22 = -7*g. Let j be 441/84 + (-10)/g + 1. Suppose -108 = -f + s, -4*f + 0*s + 436 = -j*s. What are the prime factors of f? 2, 13 Let o be ((-52)/28 - -1)/(1/7). Let b be o*(0/(-4) - -1). List the prime factors of (b/(-6) - 4)/((-3)/163). 163 Let m be 5/(-2 + (-39)/(-12)). Suppose 1094 = f - 3*g, 0 = -19*f + 16*f - m*g + 3217. What are the prime factors of f? 13, 83 Suppose 0 = 1135*r - 1174*r - 475581 + 1256556. What are the prime factors of r? 3, 5, 89 Suppose -9*w - w + 60 = 0. What are the prime factors of (-63)/(-189) - (1 - 40/w)? 2, 3 Let p(n) = -2*n**3 - 4*n**2 - 6*n + 40. Let h be p(-12). Suppose 3*k + 735 = 2*c - c, 4*c + k - h = 0. What are the prime factors of c? 3, 83 Let i(k) be the third derivative of 15*k**4/8 + 16*k**3/3 + 3*k**2 - 5. What are the prime factors of i(10)? 2, 241 Suppose 0 = 4*b + b - 125. Let r be (3/(-5) - 1)/(4/(-10)). Suppose b = r*t - 43. List the prime factors of t. 17 Let f(c) = 70*c**2 + 7*c - 21. Let b be f(-5). What are the prime factors of 2 + b + 3 + -6? 1693 Suppose 14 - 10 = 4*c. List the prime factors of 1 + (c - 0/(-5))*145. 2, 73 Suppose -7*f + 4*f + 4*c - 628 = 0, -3*c = 2*f + 413. Let m = -151 - f. What are the prime factors of m? 3, 19 Suppose 0 = -5*m - 87*m + 2368113 + 1480615. What are the prime factors of m? 2, 13, 1609 Let i be (-326)/(-3) - 12/18. What are the prime factors of ((-17739)/i)/((-102)/32 + 3)? 2, 3, 73 Suppose 13*n - 504985 = 11*n - 11*n. List the prime factors of n. 5, 17, 457 Let a = -7501 - -14097. List the prime factors of a. 2, 17, 97 Let t be (7 - 1)/12*-8. What are the prime factors of (8 - -78)/(t/(-6)) - -1? 2, 5, 13 Let b = 33 + -34. What are the prime factors of 1*b*19/((-19)/354)? 2, 3, 59 Let h be 2*(-15)/18*-3. Suppose -4*n + h - 1 = 0. Let j(z) = 164*z - 3. List the prime factors of j(n). 7, 23 Suppose 258*t - 34 = 275*t. What are the prime factors of t/17 + (-41858)/(-34)? 1231 Suppose -4*f = -t + 4, 3*t - 4 + 0 = 4*f. Suppose 5*h = t, -4*n + 170 + 2494 = -3*h. List the prime factors of n. 2, 3, 37 Let z = 492 - 495. What are the prime factors of 3/9*(z + 31*54)? 557 Let q = -21 - -23. Let m(y) = -3*y**3 - 3*y**2 + y + 2. Let x be m(q). Let h = -6 - x. What are the prime factors of h? 2, 13 Suppose 0 = -0*x - 27*x + 62775. Suppose x*v = 2327*v - 2706. What are the prime factors of v? 3, 11, 41 Suppose 0 = -27*h + 26*h. List the prime factors of 562 - -8 - (-3 - (2 + h)). 5, 23 Let o(h) = 72*h**2 + 83*h - 141. What are the prime factors of o(10)? 7, 23 Let z = 30 - 18. Let q be (-2 + (-262)/3)/((-4)/z). Suppose 5*o + r + q = 870, 2*o - 3*r = 234. What are the prime factors of o? 2, 3, 5 Let n(b) be the second derivative of 7*b - b**3 + 5*b + 8*b**2 - 4*b**2. List the prime factors of n(-22). 2, 5, 7 Let a(q) = -q**2 + q. Let m(y) = -2*y**3 - 7*y**2 + 29*y - 13. Let b(l) = -4*a(l) + m(l). What are the prime factors of b(-8)? 619 Let y be ((-216)/42)/(-6)*28/3. Suppose -y*h - 372 = -2412. What are the prime factors of h? 3, 5, 17 Suppose -1 = -4*z + 187. Suppose 0 = -2*m - 5*k + 85, 5*m - 6*m - k = -z. List the prime factors of m. 2, 5 Let b = 8547 - 8341. What are the prime factors of b? 2, 103 Let b = 29949 - 16218. What are the prime factors of b? 3, 23, 199 Let k = 21359 - 9245. List the prime factors of k. 2, 3, 673 Let x be -2*21/(-3) - (-2 - 0). What are the prime factors of 1/(x/276)*48/18? 2, 23 Suppose -y - 569 = -q, 4*y = -5*q - 1395 - 836. Let f(p) = 18*p - 48. Let i be f(3). List the prime factors of (-3)/(3/y*i/1). 2, 47 Suppose -b = 2*b - 9. Suppose 4*k + 20 = 0, -14*k = 5*x - 18*k - 35. Suppose 0 = -3*c + b, x*c + 323 = 4*n + 2*c. List the prime factors of n. 3 Suppose -4*u - 10331 = -2*y - 963, -2*u - 18712 = -4*y. List the prime factors of y. 2, 7, 167 Suppose 133*f - 391780 = 775059 + 539019. What are the prime factors of f? 2, 11, 53 Suppose -115852 = -6*f + 2*i, 5*f - 5*i = 38119 + 58431. List the prime factors of f. 2, 3, 1609 What are the prime factors of 925 - 24/40*15? 2, 229 Let c = 153 + -148. Suppose -4*r - c*k = -1779, 163 + 284 = r + 2*k. List the prime factors of r. 3, 7 Let c(r) = 1659*r**2 + 13*r + 1. What are the prime factors of c(1)? 7, 239 Let s(g) = 17*g - 10. Let p(l) = -68*l + 40. Let t(y) = 2*p(y) + 9*s(y). Let j be t(6). What are the prime factors of j + 1 + -5 - -4? 2, 23 Let l = 24661 + -4092. What are the prime factors of l? 67, 307 Let w(p) = 5*p**2 - 3*p - 8. Let d be w(-16). Let u = d + -64. List the prime factors of u. 2, 157 Let d(v) = -23*v - 157. Let z be d(-7). Suppose 2*y - 7*y - z*o = -678, -o + 672 = 5*y. What are the prime factors of y? 2, 67 Let r = -48 - -52. Suppose 0*p = 4*l + 3*p - 1269, -2*l - r*p = -632. Suppose 4*c = -14 + l. List the prime factors of c. 2, 19 Let n(k) = 45 - 57 + 191 - 47 - 196*k. List the prime factors of n(-8). 2, 5, 17 Let j(p) = 2*p - 13. Let m be j(-13). Let i = m - -24. What are the prime factors of ((-49)/3)/(5/i)? 7 Let t(o) = 108*o + 69. List the prime factors of t(12). 3, 5, 7, 13 Suppose j + 5*f - 73 = 0, 3*j + f - 59 - 118 = 0. Let h(g) = -g + 1. Let z be h(-1). Let q = z + j. List the prime factors of q. 2, 3, 5 Let b(f) = -f**3 + 36*f**2 - 34*f + 42. Let x be ((-245)/147)/(41/21 + -2). List the prime factors of b(x). 7, 11 Let l = -75 + 73. Let u be (l/6)/(3/(-27) + 0). Suppose 0 = -u*n - 107 + 593. What are the prime factors of n? 2, 3 Let f be ((-801)/(-27))/(1/33). Suppose -a - f = -3*u, 2*u - 4*a - 1634 = -3*u. List the prime factors of u. 2, 163 Let k(x) = -11*x**3 + 2*x**2 - 1. Let n be 1 + (1 - (-6)/(-2)). Let t be k(n). Let h = t + 33. What are the prime factors of h? 3, 5 Let n = -23890 + 36934. What are the prime factors of n? 2, 3, 1087 Suppose -i + 4*h + 69 + 19 = 0, 0 = 3*h. Suppose -1770 = -i*n + 83*n. What are the prime factors of n? 2, 3, 59 Let d = 1479 + 6346. What are the prime factors of d? 5, 313 Let m(q) be the first derivative of -9*q**2 + 105*q - 43. What are the prime factors of m(-12)? 3, 107 Let f(c) = 938*c - 204. List the prime factors of f(5). 2, 2243 Let m(j) = 3*j**3 + 5*j**2 - 12*j + 17. Let o be m(8). Let s = o - 1045. Suppose 0 = 4*p - 7*x + 3*x - 748, -4*p = 4*x - s. List the prime factors of p. 5, 37 Let g(t) =
{ "pile_set_name": "DM Mathematics" }
t for t. 2 Solve -o - 23 = 5*q, o = -0*q - 3*q - 13 for q. -5 Solve 0 = t + 3*g + 10, t = -t + 4*g for t. -4 Solve 3*g + 3*y = 15, 5*y = -3*g - 19 + 34 for g. 5 Solve -m - 2*k - 3 + 10 = 0, 5*m - 23 = -4*k for m. 3 Solve -5*s = 5*y + 10, -1313*s = 2*y - 1310*s + 4 for y. -2 Solve -38*m + 4 = -36*m, 2*q + 8 = 3*m for q. -1 Solve 5*b = -4*o + 13, 0 = -4*b - 9*o + 4*o + 5 for b. 5 Solve 3*r + 10 = 2*f, 5*r = -5*f + 6 - 31 for r. -4 Solve -2*f - 3*f = 4*v - 25, 4*v - 2*f + 10 = 0 for v. 0 Solve 2*d - 3*i = -2 + 6, -4*d - 2*i = 8 for d. -1 Solve 5*y + 8 = 8*y + 4*n, -4*n + 40 = -5*y for y. -4 Solve 3*v - 21 = -i - 3*i, -i = -3*v + 6 for v. 3 Solve 4*a + 0*a - 5*m - 25 = 0, 5*a - 4*m = 29 for a. 5 Solve -7*z + 5*d - 50 = -12*z, -z = -2*d + 5 for z. 5 Solve 5*r - 19 = 3*k - k, 34 = 3*k + 5*r for k. 3 Solve 5*p - 11 + 43 = 4*t, 4*t + 8 = -5*p for t. 3 Solve 2*n = 2*o - 2, 10 = 2*n + 25*o - 21*o for n. 1 Solve 800*z - 804*z + a - 10 = 0, -2*z - 3*a = -2 for z. -2 Solve -2 = 5*q + 2*y, 6*y - y = 20 for q. -2 Solve -3*y = 2*y - 15, -y + 6 = i for i. 3 Solve 4*t - 5*j + 8 = -j, 5*t - 2*j = -1 for t. 1 Solve 2*d + 57 = 3*n + 63, d = 5*n + 3 for d. 3 Solve -j = -h + 6 - 9, 0 = 4*j for h. -3 Solve u + 1 = 0, 9*u - 8*u + 5 = -2*h for h. -2 Solve 8 = 4*n, n + 3*n + 17 = 5*u for u. 5 Solve -3*b + 19 = -4*h, -9 + 2 = -2*b - 3*h for b. 5 Solve 5*q + 91*i - 87*i - 18 = 0, 4 = 2*i for q. 2 Solve 2*u + 2*v - 7 = -3*v, -4*u - 10 = 2*v for u. -4 Solve -z - 7 = -j - 0*j, -4*z - 23 = -3*j for z. -2 Solve -708*l - 9 = -705*l - 4*j, 18 = 3*l + 5*j for l. 1 Solve -k - 13 = 2*w, -17 = -786*k + 787*k + 3*w for k. -5 Solve -k + 11 = 4*b, 26*b - 23*b - 12 = 3*k for k. -1 Solve -29*l = -b - 28*l, l = -3*b for b. 0 Solve 5*r - 5*g = 0, -3*g = 26*r - 31*r for r. 0 Solve -2*o - 2*t = -2, 0 = 5*o - 13*t + 8*t + 5 for o. 0 Solve -s + 2 = 2*u, 5*s - 3*u = -0*s + 10 for s. 2 Solve -4*a - 5*j = -4*j - 17, 5*a = -3*j + 23 for a. 4 Solve h + 5*g + 4 - 14 = 0, -3*h = g + 12 for h. -5 Solve 4*z = 5*f - 40, 0 = 4*z + 3*f + 4 + 4 for z. -5 Solve -3*y = -1 - 14, -4*g - 3*y + 15 = 0 for g. 0 Solve -g + 5 = 0, -14*h = -10*h - g + 17 for h. -3 Solve 0*j = -4*j - 2*s + 12, 4*s = -j + 10 for j. 2 Solve 0*d - 5*f - 24 = -3*d, -2*f = -2*d + 12 for d. 3 Solve 4*p + 11 = -o, 4*o - 3*p - 16 + 3 = 0 for o. 1 Solve 5*w = -3*m - 16, 2*m + 23 - 17 = -w for m. -2 Solve 41 = -3*j + 4*z + 10, 21 = -5*j - z for j. -5 Solve 0 = 2*u - 5*j + 2, 4*j = -5*u + u + 24 for u. 4 Solve 10*v + b - 14 = 5*v, 3*b = v - 6 for v. 3 Solve -2*d - 6 = 4*s, -5*s - 12*d - 7 = -10*d for s. -1 Solve -s + 5*x - 14 = 0, 6*s = 4*s - 3*x + 11 for s. 1 Solve d - 500 = 5*k - 530, 0 = 5*d + 4*k - 53 for d. 5 Solve 3*b + 6*z = -15, 3*z - 7*z - 12 = 0 for b. 1 Solve -4*v + 10 = c, 0 = 5*c + 212 - 242 for v. 1 Solve 2*z - 100*l = -102*l, 3*z = 5*l - 40 for z. -5 Solve 11*k = 2*n + 6*k + 1, -5*n + 4*k = -6 for n. 2 Solve -77*m = -81*m + g + 4, -2*g + 18 = 5*m for m. 2 Solve 5*j + 9 = 3*k - 5, -4*k = -12 for j. -1 Solve -6*s = c - 2*s - 10, -5*c = -2*s - 6 for c. 2 Solve 5*j - 2*r - 3 = 0, 4*r + 24 - 25 = 3*j for j. 1 Solve 0 = -2*z + 3*n + 4, 0 = -11*z + 7*z - n - 6 for z. -1 Solve 2*l + 4*a = 3*l - 3, -3*a - 3 = 0 for l. -1 Solve 0 = 5*o - 3*s + 16, -s = 3*o - 0*s + 18 for o. -5 Solve -4*m = 2*b - 24, 14*m - 9*m = 25 for b. 2 Solve -4*m - 4*h - 4 = -0, -m - 4*h = -2 for m. -2 Solve -3*o + 7*o - 2*g - 6 = 0, -6 = -o + 2*g for o. 0 Solve 3 = -3*i + u, 1 + 11 = -3*i + 4*u for i. 0 Solve 4*o + 7*p = 4*p + 4, -18 = -o - 5*p for o. -2 Solve v = 2*v - 4*f + 20, 0 = -3*f + 15 for v. 0 Solve 2*g = -3*p + 13, -p + 0 + 6 = g for p. 1 Solve 2*x - 249*k = -247*k + 18, 5*x + 5*k = 5 for x. 5 Solve 2*k + 15 = -0*x - 5*x, 12 = -4*k - 4*x for k. 0 Solve 4*n - 24 = 4*g, -3*n - g = -8*n + 18 for n. 3 Solve -2*f - 14 = 4*u, 2*u - 5*u - 8 = 4*f for f. 1 Solve 2*a + 21*f = 18*f - 4, -4*f = 0 for a. -2 Solve -4*x = 3*g - 14, 5*x + 3*g = -9 + 28 for x. 5 Solve 0 = -3*l, 5*t + 10 = -2*l + 7*l for t. -2 Solve -46*g = 6*p - 47*g + 19, 10 = -5*p + 2*g for p. -4 Solve -14 = 2*x + 2*c, 5 + 15 = -4*c for x. -2 Solve -2*h + 0*h + 18 = -4*k, -5*h - 11 = 4*k for h. 1 Solve -3*b + 23 = 4*g, -2*g + 3*g + b = 6 for g. 5 Solve -23*u + 28*u + 3 = 2*t, 4 = t for u. 1 Solve 4*l + 2*x - 15 = l, 0 = -2*l + 2*x + 10 for l. 5 Solve -8*u - l = -13*u + 2, -5*u + 3*l = 4 for u. 1 Solve -3*b = 4*l - 0*b + 15, b = -1 for l. -3 Solve 22 = -g - 5*p, 5*p - 3 = -4*g - 16 for g. 3 Solve 0 = -3*a - 3*d - 30, -6*a + 3*a + 10 = -5*d for a. -5 Solve 4 = -2*i - 2*k, -i = -2*k - 7*k + 22 for i. -4 Solve -5*s - 3*i = -15, -25 = 4*i - 9*i for s. 0 Solve -p + 15 = 10, 0 = 5*k + p + 15 for k. -4 Solve 3*n - 3*y = -18, n + 5*y - 9 - 15 = 0 for n. -1 Solve -o - 4*v = 13, 32*o = 27*o - 4*v - 1 for o. 3 Solve -2*q = 72*i - 71*i + 5, -4*i = -4 for q. -3 Solve 3*z = b + z + 7, -13 = -b - 3*z for b. 1 Solve -2*a - 3*a + 3*d + 10 = 0, -3*a + d + 2 = 0 for a. -1 Solve -2*f + 35 = -5*j - 6*f, -2*j - 2*f - 16 = 0 for j. -3 Solve -4*a = 4*f - 12, -19*f - 2*a = -18*f - 8 for f. -2 Solve 4*d = 2*q + 2, -3*q = -5*d - 1 + 3 for d. 1 Solve 0 = 5*k + 6*j - 2*j + 12, -6 = -2*k + 2*j for k. 0 Solve -4*h = -0*a - 4*a + 4, 0 = 3*h + 5*a - 5 for h. 0 Solve 0 = -2*k + 2*s + 3*s + 17, 5 = -4*k - 3*s for k. 1 Solve -z + 1 = 0, -4*p = 2*z - 2 + 4 for p. -1 Solve -3*m = -3*t + 18, -3*m + 4*t - 20 = -0*m for m. -4 Solve m = -2*n + 2, -5*n + 3*n = -3*m + 6 for m. 2 Solve -4*a - 12 = -4*n, 5*a = -3*n + 2 + 23 for a. 2 Solve 0 = s + 4*r - 12, 3*r - 30 = 2*s - 10 for s. -4 Solve -5*d = -2*l + 17, -31*l + 35 = -5*d - 26*l for d. -1 Solve 0 = 4*i - k - 3, -i - 3 = i - 5*k for i. 1 Solve 3*r = 2*s - 17, -12*r = -9*r + 15 for s. 1 Solve 31 = 5*f - 2*b, -3*f + 3*b + 2 = -22 for f. 5 Solve -3*b - 5*u = -5*b, 4*b = -3*u for b. 0 Solve 2*s = 5*z + 16, -3*z = -5*z + 4*s for z. -4 Solve -2*r + 5*c + 39 = 84, 2*c - 18 = r for r. 0 Solve -4*w + 5*g + 1 = 0, 5 = 2*w + 53*g - 54*g for w. 4 Solve 3*j - u + 21 = 8*j, -16 = -5*j + 4*u for j. 4 Solve 3*w + f - 2 + 13 = 0, 3*f = -15 for w. -2 Solve 2*h - 22 = 6*k, -67*h - k - 9 = -62*h for h. -1 Solve -2*w + 5*p = -2, -2*p - 57 = 5*w - 33 for w. -4 Solve 3*r - 28*q = -30*q - 12, 0 = 4*r - 2*q + 2 for r. -2 Solve 2*t - n + 2*n = 7, -4*n = -4*t - 16 for t. 1 Solve 2*w = 4*p + 14, -13 = 4*p - 2*p - 3*w for p. -2 Solve -2*c = -w - 3*c + 6, 2*w - 11 = -c for w. 5 Solve 5*t = -4*s + 7, s = 12*t - 8*t - 14 for t. 3 Solve -j - 2 = 0, 8*o - 1 = 5*o + 5*j for o. -3 Solve 2*g - 3*z = -3*g + 19, -5*g + 5*z = -15 for g. 5 Solve 5*z + 15 = -4*o + 6*z, -5*z + 3 = 4*o for o. -3 Solve -25 = 3*b - 5*s, -b + 4 = 5*s - 1 for b. -5 Solve -5*b = 5, -2*l + 4*b = l + 11 for l. -5 Solve -2*j + 28*a = 33*a - 19, -3*j - 3*a + 15 = 0 for j. 2 Solve -5*u = -b + 20, 2*b - 4*u + 3*u + 5 = 0 for b. -5 Solve 0 = k - 2*y + y + 5, -4*y + 19 = -3*k for k. -1 Solve c - 8*m = 6*c - 20, 4*c = 2*m + 16 for c. 4 Solve -c - c = h + 4, 3*h - 8 = 4*c for c. -2 Solve 7*n - 2*n + 35 = 2*i, 5*n = -i - 20 for i. 5 Solve 5*z - 11 = 3*i, -5*i - 4 = -5*z + 1 for z. 4 Solve 3*c - c = -3*y + 13, -3*c - 5*y = -21 for c. 2 Solve 8 = -2*c - 4*s, -12*s = -14*s for c. -4 Solve -x - 7 = -3*a + 4, -2*x - 4*a = -8 for x. -2 Solve -u + 45 = 5*r - 5*u, -3*u = 15 for r. 5 Solve -2*p - 3*m = p, 0 = -5*p - 2*m - 6 for p. -2 Solve -2*k = 4*m, 0 = -7*k + 8*k - 4*m + 6 for k. -2 Solve 4*p - 2 = 3*v + 10, 4*v + 16 = 3*p for p. 0 Solve -6 = t + 3*d - 2, 5*t + 20 = -2*d for t. -4 Solve 0 = -4*f - 0*u + 5*u + 20, 4*u = 5*f - 16 for f. 0 Solve 0 = -2*i - 3*z - 19, 3*z - 6*z - 34 = 5*i for i. -5 Solve -5*n = 0, 5*y + 13 = -n - 7 for y. -4 Solve -13 = 2*d - 3*m, -5*d + d + 2*m - 14 = 0 for d. -2 Solve 29 = 5*m + p + p, -27 = -5*m - p for m. 5 Solve -4*c + 3*a + 19 = 0, a - 4*a = -5*c + 23 for c. 4 Solve -70*i - w - 2 = -69*i, 8 = -2*i - 3*w for i. 2 Solve -4*x - b = 28, 5*b + 22 = -3*x + 4*b for x. -6 Solve 3*t + 4*u = 5, 5*u = 4*t - 5*t - 2 for t. 3 Solve -16 = 4*x - 3*w, 7*x - 4*x - 17 = -5*w for x. -1 Solve 3*u - 2*z - 6 = 8*u, 2*z = 5*u + 14 for u. -2 Solve 25*p + 15 = 3*t + 26*p, 5*t = -4*p + 32 for t. 4 Solve 27 - 17 = -5*s, -i = 2*s + 4 for i. 0 Solve 28*m - 31*m = -2*f + 10, 2*m + 9 = -f for f. -1 Solve 2*q + 2*h = -0*h + 14, 5*q = -h + 27 for q. 5 Solve -5*j + 3 = -s
{ "pile_set_name": "DM Mathematics" }
be q(2). Solve 13 - 1 = 4*x - 5*y, -12 = m*x + y for x. -2 Let q = 33 - 29. Suppose 5*l + 5 = q*h, -h - 7 = l - 3*h. Suppose -4*p = -l*k + 20, -4*k + 0*p - 10 = 2*p. Solve -5*j + 19 = -z, k*z = 3*j + z - 13 for j. 4 Let s = 33 + -30. Let g be (162/30 - 5)/(s/30). Solve 5*v = 2*l - 11, -v - g*v - 15 = 0 for l. -2 Let f = 151 - 146. Solve 3*n - 18 = -4*w + 6*n, -f*n = 10 for w. 3 Let x = -189 + 191. Solve -x*b + 5 = 5*p, 3 = 2*p - 5*b + 1 for p. 1 Let v be (3 + -6)*5/(-3). Let q = v - 0. Suppose -5*r + 8 = -r - 2*a, 3*r - 8 = 2*a. Solve -2*t - q*c - 16 = 0, -t - c = 2 - r for t. 2 Suppose -24 + 6 = -6*q. Solve 5*z - 34 = 3*a - 0*a, q*a + 9 = 0 for z. 5 Let y(k) = k**2 + 37*k + 160. Let c be y(-32). Solve 0 = 2*u - 2*h + 8, -5*h + c*h + 15 = 0 for u. -1 Suppose 3*i - 2*p = 99, 4*i = p + 44 + 83. Solve -5*b - 2*c = i, b + 5 = -c - 3 for b. -5 Let y be (564/470)/(6/20). Solve -y*q + 2*g = -2, -q + 3*q = -4*g + 16 for q. 2 Let u(a) be the first derivative of -3*a**2 + 19*a - 18. Let j be u(3). Solve -5 = 3*x + r - 0*r, -5*r + j = 2*x for x. -2 Let y(i) = 2*i**2 - 3*i + 1. Let q = -74 + 76. Let d be y(q). Solve o = d*p - 9, 8*o + 3*p + 9 = 3*o for o. -3 Suppose 5*b + 3 = 5*w - 12, 4*w = -16. Let c be (14 + b)*(-4)/(-14). Suppose -c + 0 = -h. Solve 5*z + 25 = -5*j, -5*j + h*z = 6*z + 25 for j. -5 Let o = 92 + -89. Let z be (-54)/(-13) + (-4)/26. Solve 2*a - 2*l + 23 = 7*a, z*a - 17 = -o*l for a. 5 Let r(s) = -2*s - 7. Let f be r(-8). Suppose -41 = f*a - 185. Solve -d = -q + 6, 3*q - a = 2*d - 2 for q. 2 Let v = 1820 - 1816. Solve -q + 20 = 3*u, u + 0*q + v*q - 25 = 0 for u. 5 Let t(r) = -r**3 + 6*r**2 + 9*r + 12. Let o be t(8). Let v = 47 + o. Suppose 0 = -5*z - 25, 5 = 3*c + 4*z - 2*z. Solve 4*p = -s - 17, v*p = c*s + 7 + 9 for s. -5 Let l(u) = -3*u + 17 - 10 - 12 + 47. Let r be l(13). Solve -2*w + 5*o + 3 = -27, -r*o = -3*w + 27 for w. 5 Let g be (1 - -2) + -1 - -1. Let f = -10 - -15. Solve g*i - f*i = 5*x + 22, -3*x - 5*i = 17 for x. -4 Let a be 72/30 + 4/(-10). Suppose 3*w - 30 = -6. Solve -4*q + 3 = 5*f, -a*q + 9 = -w*f + 3*f for f. -1 Let m(f) = 64*f + 67. Let p be m(-1). Solve -31 = 3*s + 5*u, 0 = 2*u + p*u + 25 for s. -2 Let m(h) = -2*h - 1. Let n be m(-3). Suppose n*s + 6 = 26. Suppose b + 5*w = -s*b + 20, -5*b = w - 4. Solve 2*t - 8*v = -3*v, b = 5*t - 3*v + 19 for t. -5 Let a(h) = h**2 + 6*h + 33. Let y(g) = g. Let m(t) = a(t) + 5*y(t). Let u be m(-6). Solve x = 1, -2*w - x = u*x - 6 for w. 1 Let y = 38 - 34. Suppose 0 = -3*g - y*g + 35. Solve b + 0*b - v + 2 = 0, -g = -5*b + 2*v for b. 3 Suppose 3*m = 2*n - 76, 66 = 5*m + 2*n + 214. Let p = m + 32. Solve 5*c + 3 = v - 5, 5*v + p*c = 11 for v. 3 Let w = -628 - -649. Solve 0 = 5*d - 2*f + 4*f + w, 30 = -4*d + 5*f for d. -5 Suppose -4*k = -8*x + 11*x - 6, 0 = 5*k - 4*x + 8. Solve -4*t + 2*h = k, 0*t - t + 7 = 3*h for t. 1 Let x(c) = c**3 + 5*c**2 - 7*c - 2. Let g be 12/(4 - 3)*(-1)/2. Let f be x(g). Solve -2*l = f*r, l - 1 = 2*r + 3 for r. -1 Suppose -5 = a, 11*n - 3*a = 6*n + 15. Solve n = 3*q + y + 9, -2*q - 3*y - 7 = -2*y for q. -2 Let v be (-8)/(-48)*30 - (-1)/(-1). Solve -4 = -v*r - o + 1, -5*o + 1 = -4*r for r. 1 Suppose -12*u = -46 - 14. Solve 0 = d + 5*t + 8, t + 20 - 4 = -u*d for d. -3 Let t = 740 - 740. Solve 4 = -l + 5*l + 4*a, -4*a + 16 = t for l. -3 Suppose 0 = 38*u - 40*u + 2*q + 16, 40 = 3*u + 5*q. Solve 0 = 5*c + 5*f - u, -2*c = -f - 4 - 9 for c. 5 Let j(v) = -13*v + 82. Let l be j(5). Suppose -6*x + x + 5 = 0. Solve d - 2*u = x, d = 5*d + 5*u - l for d. 3 Let y = 124 + -20. Suppose 5*s - 9*s = -y. Let u = -23 + s. Solve u*t = -0*d + 3*d - 9, 0 = -3*t - 4*d - 2 for t. -2 Suppose 0 = -2*d - s + 17 - 0, -2*s - 6 = -d. Solve 2*w + 16 = -p + 7*w, -d = -2*w for p. 4 Suppose -3*v + 19 = 5*m, 2*m - 5*v - 15 = m. Let z = 15 - m. Suppose 3*t - z + 1 = 0. Solve -1 = x, 3*b + x + t*x + 7 = 0 for b. -1 Let j = -96 - -57. Let a = j + 56. Suppose -a = -4*m + 3. Solve -w + m = -2*c - 6, -w = 3*c + 4 for c. -3 Let f be (-4)/8 - 9*9/(-54). Solve 0 = 2*b - 5*b - 2*z + 5, -4*z = -5*b + f for b. 1 Suppose 0 = 2*h + 1 - 5. Let x be 23/(2001/(-6)) + (-1168)/(-116). Solve -o + x = -l - 2*l, 5*l = -3*o + h for l. -2 Let n(z) = -3*z - 25. Let b be n(-13). Suppose 5*h + 3*i = 16, 3*h - b = -2*h - 2*i. Solve h*g = 4*p, -g = -0 + 4 for p. -2 Let c(r) = 10 + 17 + r + 2*r - 7. Let v be c(-5). Solve -2*s + 3*z = -1 + 20, 0 = 4*s + 5*z + v for s. -5 Let a be (5 + -3 + -2)*1/2. Let r be (-24)/(-6) + -1 + 1. Suppose -4*x - j + 4 = -r, a = 3*j. Solve 0 = -4*b - 2*i - 10, x*b - b = -i for b. -5 Let x = -1716 - -1719. Solve x*k - 14 = 2*h - 22, k + 7 = 5*h for h. 1 Let j be (-2162)/(-414) - (-2)/(-9). Solve 8*b + 2*k - 6 = 3*b, j*b = 2*k + 14 for b. 2 Let j(h) = -h - 1. Let a be j(-3). Solve -3*p + 7 + 3 = -2*o, 0 = -3*o + a*p - 10 for o. -2 Let w = 507 - 503. Solve 0 = -4*l - f + 6, l - w*f - 5 = -6*f for l. 1 Let p = 3 + 8. Suppose p = 3*b - j - 2, -4*j - 2 = -2*b. Suppose 4*q + o - 4 - 11 = 0, 4*q + 5 = -b*o. Solve -1 = 2*n - 5*n - q*i, 13 = -3*n + 2*i for n. -3 Let v be (-4)/(8 + -4)*-5. Let a be v - ((-1 - -4) + 1). Solve -2*i - 5*y - 3 = -1, -i - a = -5*y for i. -1 Let i(s) = -s**3 + 3*s**2 - 2*s + 3. Let w be i(2). Let g = 474 - 471. Solve -15 = -w*k - g*y, 0*k - 2*y = -4*k + 14 for k. 4 Let l = -183 - -203. Solve -3*s - 4*w + 3 = -2, -s + 3*w = l for s. -5 Let j = 447 - 444. Solve -4*h + 19 = g + 4, 0 = 2*g - j*h + 3 for g. 3 Suppose -13*d + 112 + 14 = 29*d. Suppose -7*q = -3*q - 8. Solve -2*y - 11 = f, q*y + d*f = 7*y + 11 for y. -4 Let u(g) = 3*g + 10. Let x be u(-5). Let l be -1*(x/1 + 2). Solve l*d - 3 = 2*j + 7, 0 = -3*d - 4*j - 2 for d. 2 Suppose 0 = 113388*a - 113383*a - 55. Suppose -5*o + 0*o + 90 = 0. Solve o = 2*w - 4*w - 2*u, u = 3*w + a for w. -5 Suppose -t + 21 = 6*t. Let r(k) = 5*k - 10. Let w be r(t). Solve -3*f = s - 3*s + 9, w*f + 5*s + 40 = 0 for f. -5 Suppose -w = -x + 50, 0 = 2*x + 3*w + 2*w - 93. Let p = x + -43. Solve 5*a = -3*y + 40, -a + 3*y - p - 4 = 0 for a. 5 Suppose -8*l - 22 = -10*l + 2*g, 38 = 3*l + 2*g. Solve -4*o - b + l = 0, b + 15 = 5*o - 0*b for o. 3 Suppose -9 = v + 5*j, 2*v + 3*v + 3*j = -1. Let i(m) = -m**3 - 15*m**2 - 15*m - 9. Let u be i(-14). Solve 5*x = -u*b - v - 4, -3*x + 12 = 0 for b. -5 Let r(y) = -y**3 + 9*y**2 + 24*y - 20. Let i be r(11). Solve v = 4*v + 2*p - 2, p = i*v + 1 for v. 0 Let f(g) be the second derivative of g**3/3 - 3*g**2/2 - 5*g. Let b be f(4). Suppose -b = -5*j + 10. Solve 5*h - 15 = 0, -j*t - 2*t = -h + 13 for t. -2 Let x = 17 - 15. Suppose -t + x*n + 7 = -2*n, 0 = -2*t - 3*n + 3. Suppose 0 = -f + 4*p + 10, -p + 1 = -t*f + 9. Solve 3*j - 1 = -2*r, -f*r + 4*j + j = 7 for r. -1 Let h = 168 + -164. Solve h*n = 4*j - 9 - 7, -5*n = 3*j - 12 for j. 4 Let o(s) = -s**3 - 4*s**2 + 3*s - 35. Let q be o(-6). Solve -5*u = -4*l - u + 16, -4*l - 3*u = q for l. -1 Suppose 490 = -85*c + 99*c. Solve 0 = 5*v + 3*x - c, -x + 2 = -2*v + x for v. 4 Let f(b) = -2*b - 202 + 3*b + 213. Let k(o) = o**3 + 2*o**2 + 3*o. Let w be k(-2). Let y be f(w). Solve -y = -5*v - 5*u + 5, v - 2 = -2*u for v. 2 Suppose s + 4 = 7. Suppose 5*l = -4*x - 0*x + 9, -5*x - 15 = l. Suppose l*f = -2*n + s*f + 12, -3*n = 4*f - 19. Solve -3*o - n*u - 7 = -4*o, 4*o = u + 9 for o. 2 Suppose 5 - 2 = k. Suppose k = -x + 8. Solve 2*v = d + 2*d - 8, x*v = 4*d - 13 for v. -1 Let t = -1 + 8. Let z be 1/t + 170/(-14). Let x = 14 + z. Solve x = r - 2, 16 = -5*y + 4*r for y. 0 Let z be (-9)/((-4 + 84/20)*-5). Solve -10 = m - 3*s, -z - 17 = 5*m - 3*s for m. -4 Suppose -d = 17 - 23. Solve 2*s - 2*q - 2 = 4, 4*q + d = 2*s for s. 3 Let h(d) = 2*d - 4. Let f be (-12)/(-42) - 40/(-7). Let i be h(f). Let x be (-4 - (-1 + 1)) + i. Solve -3*w - 5*q = 11, 5*q + 1 = -5*w - x for w. 3 Let j(q) = q**2 - 6*q + 8. Let c be j(2). Solve c = -2*y - 2, 5*g - 5 = 9*g + y for g. -1 Suppose 96 + 51 = 49*m. Solve 0 = m*b - 8*b + 5*u, 5*b = -u - 18 for b. -3 Let q be (-1)/(-6) + 2/((-12)/(-209)). Solve 5*s + q = -5*o, s - o + 1 = 4 for s. -2 Let a be 12/(-12) - (0 + 1). Let j = 13 - a. Solve -4*f - 4*t = -5*f - j, -f - 6 = -t for f. -3 Suppose -6*j + 8 + 22 = 0. Solve 0*k + 3*l = j*k - 8, 7 = 4*k - 3*l for k. 1 Let u = -788 - -793. Solve -4*s - 9 + 1 = 2*f, -u*s + 4*f = 10 for s. -2 Suppose 2*f + 2*j = 18, -3*j + 13 = -
{ "pile_set_name": "DM Mathematics" }
- 2*c**2 - 4)*(-4 + 4 - c**3). 6*c**5 Expand (4*o**2 + 0*o**2 - 3*o**2)*(18 + 20 - 51). -13*o**2 Expand (-11 + 11 - 3*i**2)*(-3 + 6 + 0 + (-2 + 2 - 2)*(-1 - 2 + 0)). -27*i**2 Expand (-3*i**2 + 5*i**2 - i**2)*(-3 + 5 - 3) + 2*i**2 - 2*i + 2*i + 2*i**2 + i - i + i - i - i**2 + 2*i**2 + i**2 - 4*i**2. i**2 Expand (-2*p**3 + 0*p + 0*p)*(4*p - 2*p - 8*p). 12*p**4 Expand (-3*a + 0*a + 2*a + (-5*a + 5*a - 2*a)*(-1 - 4 + 1))*(-10*a**4 + 9*a**4 - 11*a**4). -84*a**5 Expand (-2*d - 3*d - 5*d - d**2)*(3*d - 4*d - d). 2*d**3 + 20*d**2 Expand (i - 2*i + 2*i)*(-i**2 + 11*i - 126 + 126). -i**3 + 11*i**2 Expand (-1 - 1 + 0)*(9*g - g - 3*g) - 3*g + 3*g + 2*g. -8*g Expand (2 - 1 - 5)*(-3*m - 2*m + 3*m) + 0*m - 3*m + 2*m + (-2 + 5 - 5)*(3*m - 2*m + m) - 1 + 0*m + 0*m - m. 2*m - 1 Expand (i + 0 + 0)*((-5 + 6 - 2)*(-1 - 2 + 5) + 4 - 2 - 1). -i Expand (2*x**2 + 2*x**2 + 2*x**2 - 2*x**2 - x**2 + 4*x**2 + (5 - 2*x - 5)*(0*x - 4*x + 2*x) + 0*x**2 + 4*x**2 - 3*x**2 + x**2 + 3*x**2 - 2*x**2)*(-2 - 4 + 5). -14*x**2 Expand (-48*v**4 - 50*v**4 + 108*v**4 + v**4 - 3*v**4 + v**4 + (v + 0*v - 2*v)*(-v**2 - 2*v**3 + v**2) + 0*v**4 + 0*v**4 + v**4)*(v - 2*v - v). -24*v**5 Expand 3 - 3 + 2*p**5 + (-2*p**2 + 4*p**2 - 3*p**2)*(-3*p**3 + 2*p**3 - p**3) + 30*p**5 - 2*p**5 + 4*p**5. 36*p**5 Expand (3*h**3 + 2*h**3 - 4*h**3)*(3 - 1 - 2*h - h). -3*h**4 + 2*h**3 Expand -3*v + 3*v - 2*v**3 + (0 + 3 - 2)*(-v**3 - v**3 + 0*v**3) - 2*v**3 - 3 + 3 + 9 - 28*v**3 + 19 - 29. -34*v**3 - 1 Expand 3*d - d + 6*d - 3 + 2*d + 3 + (3 + d - 3)*(2 - 4 + 1). 9*d Expand (-3*f + 3*f + f)*(2*f**4 - f**4 - 3*f**4) + 0*f**5 - 3*f**5 + 8*f**5 - f**5 + 3*f**5 + 0*f**5. 5*f**5 Expand (n**2 - 2*n**2 + 0*n**2)*(-4*n - n**2 + 4*n) + 20*n**2 - 20*n**2 + 4*n**4 + (-3*n**3 + 3*n**3 + 2*n**3)*(-2*n - n + 2*n). 3*n**4 Expand (-9*g + 0*g - 13*g)*(-4 - 1 + 3)*(4 + 0 - 5). -44*g Expand (2 - 3 + 2)*(-8*d - 10*d + 2*d) + 2 - 2 + d. -15*d Expand 2*v**3 + 2*v**3 + 7*v**3 + 2*v**3 + 3*v**3 - 3*v**3 + (-v + 3*v - v)*(0*v**2 - v**2 + 0*v**2). 12*v**3 Expand -p + 3*p - p + (1 - 3 + 3)*(-4 + 4 - 4*p)*(6 - 3 + 2). -19*p Expand (-323*x**2 + 6*x + 323*x**2 + x**3 + 1)*(5*x**2 - 2*x**2 - x**2). 2*x**5 + 12*x**3 + 2*x**2 Expand -2*r**2 + 2*r**2 - 2*r**4 + (-r - 2*r**4 + r)*(3 + 2 - 2) + (1 - 1 + 1)*(-r**3 - 2*r**4 + r**3). -10*r**4 Expand (3 - 5 + 0)*(-3 + 4 + 0)*(-28*g**2 + 11*g**2 + 9*g**2). 16*g**2 Expand (-2 + l - 1 + 5)*(-2*l**2 - 2*l**2 + 0*l**2)*(-4 - 2 + 5). 4*l**3 + 8*l**2 Expand (-2*c + 2*c + 2*c**2)*(-10*c**2 - 17*c**2 + 14*c**2). -26*c**4 Expand (1 - 5*b - 1 + (b + 0 + 0)*(3 - 6 + 2))*(1 - b - 1) + 4*b - 4*b + b**2. 7*b**2 Expand 2*b + 4 - 4 + (-4 + 1 + 4)*(6 - 6 + 7*b). 9*b Expand (2*h + 1 - 1)*(-6*h - 2*h - 2*h). -20*h**2 Expand 125 - 19*j - 125 + 4*j + 2*j - 4*j + (0*j - j + 2*j)*(-3 + 2 - 1) + 0 + 0 + j. -18*j Expand (-2 - 3 + 2)*(21*m**3 + 0*m**5 - 7*m**4 + 6*m**4 + 2*m**5). -6*m**5 + 3*m**4 - 63*m**3 Expand (-2 + 2*u**3 + u**3 - 2)*(3 - 3 - 7*u). -21*u**4 + 28*u Expand -14*v + 13*v - 17*v + (-1 - 2 + 1)*(2 - 2 - 2*v) + 4*v + 0*v - 3*v + 2 - 2*v - 2. -15*v Expand -28*r + 18*r - 9*r + (r + r - 4*r)*(0 + 1 - 2). -17*r Expand 0*s**5 - 3*s**5 + 4*s**5 - 2*s**5 - s**5 + 5*s**5 + (-2*s**2 + 2*s**2 + 2*s**2)*(5*s**2 + s**3 - 5*s**2) + (s**4 + 2*s**4 - 5*s**4)*(-2*s + 4 - 4). 9*s**5 Expand -2*u**4 + 0*u**4 + 0*u**4 + (-4*u**3 + 5*u**3 - 10*u**3)*(-2*u - 4*u + 3*u). 25*u**4 Expand (2*g - g - 5*g)*(3*g - 5*g + g) - 2*g - 4*g**2 + 2*g + (-4*g - 2*g + 4*g)*(-2*g + 2*g + 2*g) + (-2*g + g + 2*g)*(-g - 3*g + 5*g). -3*g**2 Expand 4*h**2 - 4*h**2 - 7*h**4 + (-2*h**2 + 0*h**2 + h**2)*(-h**2 - 3*h**2 + h**2). -4*h**4 Expand (2 - 4 - 1)*(0*h + 0*h - 2*h)*(3*h**4 + h**4 - h**4). 18*h**5 Expand (3*m**3 + 0 + 0)*(-3*m + 6*m - 2*m) + 22*m**2 - 22*m**2 + 14*m**4. 17*m**4 Expand ((2*f**4 + 1 - 1)*(-2 - 1 + 2) - f**4 - 3*f**4 + 5*f**4 + 0 - 6*f**4 + 0)*(-2*f + 6*f + 6*f). -70*f**5 Expand (9*i**3 + 7*i**3 + 7*i**3 + 1)*(0*i**2 + 0*i**2 + i**2). 23*i**5 + i**2 Expand -4 - 2*m + 0 + 3*m - 4*m + m + 2*m + (2 - 3 + 2)*(-3*m + 5*m - 3*m). -m - 4 Expand (-3 - 2 + 4)*(-c**2 + 73 - 73). c**2 Expand (-2 - 2 + 2)*(-10 - 17 - 3)*(-2*j**2 + 4*j**2 + 0*j**2). 120*j**2 Expand (-u**2 + 0*u + 0*u)*(u - 6*u + 3*u) - 24*u**3 - 11*u**3 + 9*u**3. -24*u**3 Expand (4 + 2 - 3)*(3*d + d + 2*d)*(-2*d**2 - 3*d + 3*d). -36*d**3 Expand 3*r - 2 + 2 - 2*r + 0*r + 0*r + (-2 + 2 - 3)*(2*r - r - 3*r). 7*r Expand 5*p**2 + p**2 + p - 4*p**2 - p - 3*p**2 + p + (2*p**2 + p**2 - 4*p**2)*(0 + 1 + 0) + 0*p**2 - 3*p**2 + p**2 + 4*p**2 + p**2 - 3*p**2. -2*p**2 + p Expand (-4 - 5 + 4)*(-4*k + k + 2*k) - k - 3 + 3 - k + 3*k + 0*k. 6*k Expand (-y + 3*y - y)*(2 + 3 - 2). 3*y Expand (90*y - 188*y + 88*y)*(y**2 - 2*y**2 + 2*y**2). -10*y**3 Expand -x**3 + 0*x**3 - x**3 + (-5*x + 3*x**2 + 3*x - 2*x**2)*(0*x + 2*x - 5*x). -5*x**3 + 6*x**2 Expand (6 - 9*h - 6)*(0*h**3 - 3*h**3 + 2*h**3) - h**2 + h**2 + 3*h**4. 12*h**4 Expand (-28*y + 12*y + 10*y)*(-2*y**3 - y**3 + 2*y**3). 6*y**4 Expand (-3 + 2 + 0)*(-p**2 - 1 + 1) + (3*p - 5*p + 4*p)*(-1 - p + 1) - 27*p**2 - 75*p**2 - 5*p**2. -108*p**2 Expand (0 - 1 + 2)*(3 - 4 + 3)*(3*j - j + 7*j) + j + 5*j - 4*j. 20*j Expand -2*w**2 + 0 + 0 + (w + 5*w - 5*w)*(2*w + 0*w - 3*w) + w**2 - w**2 + 5*w**2 - 3*w**2 + 3*w**2 + 2*w**2. 4*w**2 Expand -6*m**2 + 0*m**2 + 2*m**2 - m**2 - 2*m**2 + m**2 + (-m**2 + 3*m**2 - 4*m**2)*(-3 + 0 + 4) + 3*m - m**2 - 3*m. -9*m**2 Expand 4*v**2 + 0*v**2 - v**2 + (2 - 3 - 2 + (1 + 1 - 3)*(1 - 2 + 0))*(v**2 + 0*v + 0*v). v**2 Expand (-3 - 3 + 4)*(0*q + 4*q - 3*q)*(2*q + 0*q - 4*q). 4*q**2 Expand 3*h**4 + 3*h**4 - 4*h**4 + 3*h**4 - 2*h**4 + 0*h**4 + (-2 + 2 + 2*h**2)*(-h + h**2 + h) + h**4 - 2*h**2 + 2*h**2. 6*h**4 Expand (-n + 4*n + 0*n)*(-n + 0*n + 3*n) + (-4*n - 3*n + 6*n)*(4*n - 2*n - n). 5*n**2 Expand (1 + t - 1)*(17*t + 5*t**3 - 17*t + (3*t**2 - t**2 - 2 + 1)*(3 - 3 + 3*t)). 11*t**4 - 3*t**2 Expand (-s**2 - 2*s**2 + 9*s**2)*(-5*s + 0*s + 3*s)*(4 - 1 - 1). -24*s**3 Expand (4*z - 4*z - 3*z**2)*(-3*z + 3*z + z). -3*z**3 Expand (3 - 1 + 4)*(-3*u - 4*u + 5*u - 3). -12*u - 18 Expand (-1 - 4 + 4)*(38*f**2 + 28 - 28) + 0*f**2 + 2*f**2 - 3*f**2. -39*f**2 Expand (-4*p**3 + 2*p**3 + p**3)*(p**2 + 2*p**2 + 0*p**2) + p**5 - 5*p**5 + 5*p**5 + p**5 + 3*p**5 - 2*p**5 + (-7*p**2 + p**2 + 3*p**2)*(-1 - 2*p**3 + 1). 6*p**5 Expand (2*y**5 - 4*y**4 + 4*y**4)*(0 + 1 - 2 + (3 - 6 + 4)*(1 - 2 - 1) + 0 + 2 - 3 - 3 + 2 + 2). -6*y**5 Expand ((2*p + 2 - 2)*(-2 + 4 - 1) - 2 + 2 - 3*p)*(0 - 4 - 4)*(0*p**2 + 3*p**3 + 0*p**2). 24*p**4 Expand (-c**5 - 2*c**5 + c**5)*(1 - 2 - 1) + 2*c - 219*c**3 + 219*c**3 - 16*c**5. -12*c**5 + 2*c Expand -2*t**2 - t**2 - t**2 + (-t - 1 + 1)*(4*t + 6*t - 15*t). t**2 Expand (-6 + 6 + 2*t)*(-1 - 1 + 4) + (-2 - 3 + 4)*(-2*t + 3*t + 0*t). 3*t Expand (-3*x + x + 4*x)*(1 - 4 + 4) - x - 2*x + 2*x + 3*x - 2*x - 2*x + 2*x - 2*x - 3*x + (-2*x + 2 - 2)*(6 - 5 - 2) - x + 5 - 5. -2*x Expand (-5 + 2*o + 5)*(-2 + 0 + 0) - 2*o + o - o + o + 2*o - o + 3*o + 0*o - o + (0*o - o - 2*o)*(2 + 1 - 2). -5*o Expand -2*i**2 + 3*i**2 + i**2 + 8 - 8 - 9*i**2 + (-1 + 1 - i)*(-2 + 2*i + 2). -9*i**2 Expand (3 - 3 + 2)*(3*m + 0*m + 3*m)*(0*m - 4*m + 2*m)*(4*m**2 - 3*m**2 + 0*m**2). -24*m**4 Expand -3*t**3 - 2*t**3 + 2*t**3 + (-t**3 + 0*t**3 + 2*t**3)*(6 - 1 - 3). -t**3 Expand -s**5 + s**2 - s**2 + (2*s**4 - s**4 - 5*s**4)*(s - 2 + 2) + 0*s**5 - 4*s**5 + 3*s**5 + 2*s**5 - 2*s**2 + 2*s**2. -4*s**5 Expand (4 - 8*v**3 - 1 + 7*v**3)*(3 - 1 + v - 2*v). v**4 - 2*v**3 - 3*v + 6 Expand (1 - w**3 - 2 + 2*w**4 + 3*w**3)*(3*w - 14*w - w). -24*w**5 - 24*w**4 + 12*w Expand (-5 + 5 - 3)*(0*s + s + 2*s) + (1 + s - 1)*(1 - 4 + 1) + 0*s - 2*s + 10*s. -3*s Expand (-s - 10*s - 13*s)*(s + 2 - 2). -24*s**2 Expand (-m - 7 + 0*m + 8)*(-7 + 1 + 2). 4*m - 4 Expand (-q**4 + 1 - 1)*(q - 9*q - 11*q). 19*q**5 Expand -2*v**4 + 1 - 1 + (-1 + 1 + 2*v**3)*(2*v - 2*v + 2*v) + 13*v**4 - 10*v + 6*v + 2*v. 15*v**4 - 2*v Expand (0 + 6 - 3)*(a**3 + 2*a**3 - a**3). 6*a**3 Expand (0*y**3 - y**3 + 2*y**5 + 3*y**3)*(-1 - 2 - 3). -12*y**5 - 12*y**3 Expand (0 - 2 + 1)*(-3 + 6 + 0)*(-6*w**3 - w**3 + 2*w**3) - w**3 - 2*w**2 + 2*w**2 + (-1 + 1 - 2*w**2)*(4*w - 5*w - w). 18*w**3 Expand t**5 - 4*t**5 + t**5 + (-2 + 2 + t**2)*(-2*t**3 + 3 - 3) - 109*t**2 - 25*t**5 + 109*t**2. -29*t**5 Expand -13 - 3*w + 13 + (-w
{ "pile_set_name": "DM Mathematics" }
Let h(k) = 2*f(k) + 3*n(k). Determine 5*h(d) + 3*r(d). -d**2 Let m(y) = -4*y**3 + 7*y**2 + 18. Let n(b) = 2*b**3 - 3*b**2 - 8. Let q(h) = 4*m(h) + 9*n(h). Let f(r) = 5*r**3 + 2*r**2. Give -6*f(p) + 13*q(p). -4*p**3 + p**2 Let k(v) = 4*v**2 + 3*v - 2. Let i(y) be the first derivative of -5*y**3/3 - 2*y**2 + 3*y - 12. What is -3*i(h) - 4*k(h)? -h**2 - 1 Let o(q) = 6*q**2 - 3. Let r(h) = 6*h**2 + 226*h - 315. Let b be r(-39). Let k(f) = 6*f**2 - 4 + 7*f**2 - 6*f**2. Calculate b*k(l) + 4*o(l). 3*l**2 Let x(l) = 7 - 2*l + 9*l - 6*l**2 - 3*l. Let v(q) = q**2 - q - 1. Let b = 20 + -23. Let h be (b - -2)/((-6)/(-30)). Calculate h*v(y) - x(y). y**2 + y - 2 Let c(a) = -6*a - 1. Let s(o) = 6*o - 1. Let v(g) = -3*c(g) - 2*s(g). Let w(x) = -6*x - 4. Determine 5*v(r) + 6*w(r). -6*r + 1 Let w be 28/238 + 159/(-51). Let b(i) = -5*i**3 - 7*i**2 + 4*i + 2. Let g(k) = -4*k**3 - 6*k**2 + 3*k + 2. Determine w*b(f) + 4*g(f). -f**3 - 3*f**2 + 2 Let i(c) = 5*c - 3. Suppose 0*q = -q + 5. Let o(w) = -w**2 + 4*w + 5. Let h be o(q). Suppose 0 = -h*g - 2*g + 18. Let x(l) = -11*l + 7. What is g*i(n) + 4*x(n)? n + 1 Let d(h) = 30*h**2 - 6*h - 1. Let j(s) = 15*s**2 - 2*s. Calculate -2*d(p) + 5*j(p). 15*p**2 + 2*p + 2 Let f(q) = -4*q**2 - 5. Let j(y) = 2*y**2 + 2. Let o = 41 - 37. Suppose -3*h = -15, -3*v = -o*h + 2*h + 4. Give v*f(x) + 5*j(x). 2*x**2 Let c be -27*(2/(-6) - (-8)/12). Let g(q) = 5*q**3 - 17*q**2 + q - 9. Let d(z) = z**3 - 4*z**2 - 2. What is c*d(x) + 2*g(x)? x**3 + 2*x**2 + 2*x Let o(t) = t**3 - t**2 - 2*t - 1. Let j(k) = 4*k**3 - 7*k**2 - 10*k - 4. Give -2*j(d) + 11*o(d). 3*d**3 + 3*d**2 - 2*d - 3 Let a(g) = 35*g - 32. Let f(s) = 10*s - 8. Determine 6*a(l) - 22*f(l). -10*l - 16 Let y(r) = -r**2 - 2*r - 3. Let q = -1164 + 1162. Let d(w) = -w**2 - 5*w - 5. What is q*d(j) + 5*y(j)? -3*j**2 - 5 Let c(q) = 445*q**3 - 3*q**2. Let z(d) = 5340*d**3 - 35*d**2. What is 35*c(k) - 3*z(k)? -445*k**3 Let x(m) = -17 - 47*m + 62*m + 6*m**2 + m**2. Let n(s) = 3*s**2 + 7*s - 8. Give -13*n(g) + 6*x(g). 3*g**2 - g + 2 Suppose 0 = -g - 6*t + 4*t - 13, g = t - 4. Let n(c) = -8*c**3 + 7*c**2 - 7*c - 7. Let w(s) = 7*s**3 - 6*s**2 + 6*s + 6. Determine g*w(i) - 6*n(i). -i**3 Let c(r) = 2*r**2 - r + 4. Let a(u) = -u**3 + 3*u**2 - 2*u + 5. Let k = 652 + -650. Give k*a(t) - 3*c(t). -2*t**3 - t - 2 Let w(n) = -n**2 + n. Let h(i) = 2*i**2 - 5*i + 1. Suppose 13*x = 45*x + 128. Give x*w(s) - h(s). 2*s**2 + s - 1 Let h(y) = -2*y**2 - 2*y. Suppose 11*n - 28 = -6. Let c be 2/(-4*2/(-12)). Let l be 3 + (-7 - c - 2). Let i(g) = -8*g**2 - 9*g. Determine l*h(u) + n*i(u). 2*u**2 Let k(q) = 2*q + 4. Let a(s) = -s. Suppose -2*l - 4 = 0, -l = -4*p + 4*l - 14. Let g(r) = p*a(r) - 2*k(r). Let x(o) = -o + 3. Determine 4*g(u) + 11*x(u). -3*u + 1 Let p(x) = -508*x**3 - 7*x**2 + 7*x - 7. Let q(v) = 253*v**3 + 3*v**2 - 3*v + 3. What is -3*p(m) - 7*q(m)? -247*m**3 Let k = -293 + 289. Let b(m) = m**2. Let w(p) = 5*p**2. Calculate k*b(t) + w(t). t**2 Let h(p) = 34*p**3 + 13*p**2 - 3. Let w(d) = -23*d**3 - 8*d**2 + 2. Give 5*h(l) + 8*w(l). -14*l**3 + l**2 + 1 Let i(p) = -72*p**2 + 12*p + 13. Let h(x) = 107*x**2 - 17*x - 19. Calculate 5*h(c) + 7*i(c). 31*c**2 - c - 4 Let v(o) = 2*o**2 - 3. Let g = -4502 - -4513. Let b(h) = h**2 + 4. Let l be b(0). Let d(i) = -6*i**2 + 8. Calculate g*v(a) + l*d(a). -2*a**2 - 1 Let t = 26 + -9. Let m = -1174 + 1168. Let d(g) = 8*g. Let r(w) = 23*w. Calculate m*r(a) + t*d(a). -2*a Let b(l) = l - 3. Let r(j) = 2*j - 7. Let o(z) = 7*b(z) - 3*r(z). Let y(s) = -141 - 135 - 139 + 416. Determine o(p) - 2*y(p). p - 2 Let q = 12 + -7. Let j(b) = -2*b**2 - 2*b - 5. Let n(t) = 3*t**2 + 2*t + 6. Let r = -2 + 10. Suppose 7*d = 9*d - r. Determine d*n(c) + q*j(c). 2*c**2 - 2*c - 1 Let a(d) = -d - 36. Let r(g) be the third derivative of 7*g**3/6 + 37*g**2 + g. Calculate -2*a(n) - 11*r(n). 2*n - 5 Let m(x) = 26*x**2 + 134*x + 8. Let a(j) = 9*j**2 + 44*j + 2. Let q(u) = 16*a(u) - 5*m(u). Let g(o) = -9*o**2 - 23*o + 5. Calculate -8*g(b) - 5*q(b). 2*b**2 + 14*b Let j(m) = m**2 + m - 1. Let u(p) = -p**2 - 3*p + 31. Let h(t) = -t + 17. Let o(n) = -7*h(n) + 4*u(n). Determine 10*j(w) + 2*o(w). 2*w**2 Let l(b) = 2 + b - 1 - 2. Let j(a) = -4 + 3 + 3*a - 1. Suppose 49*m - 67*m = -18. Determine m*j(n) - 2*l(n). n Let b(x) be the second derivative of -x**4/4 + 7*x**3/3 - 3*x**2/2 + 19*x + 3. Let f(w) = w**2 - 5*w + 1. What is -3*b(p) - 8*f(p)? p**2 - 2*p + 1 Let l(w) = 8*w - 1. Let o(c) be the second derivative of c**3/6 + 46*c - 9. Calculate l(q) - 4*o(q). 4*q - 1 Let v(z) = -z**2 - 4*z + 22. Let d be v(-8). Let h(a) = 2. Let b(x) = -x - 13. Determine d*h(p) - 2*b(p). 2*p + 6 Let t(l) be the first derivative of l**2/2 + 4. Let c(f) = 14*f - 4. Let z(y) = -19*y + 5. Let o(a) = 4*c(a) + 3*z(a). Give -4*o(x) - 3*t(x). x + 4 Let r(t) = t**3 - t**2 + 1. Let j(x) = -3*x - 11. Let p be j(-4). Let m(k) = -k**3 + 4*k**2 - 2*k - 3. Determine p*m(f) + 4*r(f). 3*f**3 - 2*f + 1 Let m(x) be the second derivative of x**3/6 + 131*x. Let j(d) = 2*d + 1. What is -4*j(o) + 9*m(o)? o - 4 Let f(t) = t - 1. Suppose -5*d + 3*m + 30 = 0, -3*d + 5*m = -2*d - 28. Let b(o) = -5*o - 2*o + o + d - o. Give b(c) + 4*f(c). -3*c - 1 Let i(z) = -2*z - 1. Let y(c) = c**2 + 2*c + 81. Give -4*i(q) - 2*y(q). -2*q**2 + 4*q - 158 Let y(v) = v - 1. Let s(t) = 0*t**3 - t**3 + 22*t + 0*t**3 - 4 + 5 + 9*t**2. Let d be s(11). Let r(a) = -2*a**2 + 2*a. Give d*r(n) - 2*y(n). -2*n**2 + 2 Let w(z) = -789*z**3 + 4*z**2 + 4*z + 8. Let d(t) = -467088*t**3 + 2367*t**2 + 2367*t + 4734. What is -4*d(x) + 2367*w(x)? 789*x**3 Let j(s) = -6*s - 12. Let x(d) = -d + 13 + 8*d + 6*d - 3*d - 3*d. Calculate -6*j(r) - 5*x(r). r + 7 Let q(j) = j**2 + 2*j. Let y(d) = -5*d**3 - 4*d**2 - 2*d + 3. Calculate -q(x) - y(x). 5*x**3 + 3*x**2 - 3 Let f(p) = 35*p**2. Let c(u) = -17*u**2. Let q(o) = 4*o**2 + 15*o - 4. Let d be q(-3). What is d*c(k) - 6*f(k)? 11*k**2 Suppose 2 = -h + 4*l, 8*l = 2*h + 12*l - 20. Let m(p) = 20*p + 20. Let u be (-153)/(-6)*2/3. Let f(t) = -7*t - 7. Determine h*m(j) + u*f(j). j + 1 Let y(g) = -4*g**2 + 5. Let s(o) = 1. Give 4*s(q) - y(q). 4*q**2 - 1 Let l(x) = -9*x**3 - 6*x**2 - 7*x + 8. Let f(z) = 8*z**3 + 5*z**2 + 6*z - 7. Let y(b) = -b**3 - 7*b**2 - 12*b - 4. Let o be y(-5). Determine o*l(w) + 7*f(w). 2*w**3 - w**2 - 1 Let n(t) = 11*t - 6. Let g(v) be the third derivative of v**4/6 - v**3/3 - v**2. Suppose -41*u + 42*u - 11 = 0. Let r = u + -8. Determine r*n(y) - 8*g(y). y - 2 Let f(o) = 14*o + 104. Let w(y) = -3*y. Calculate -f(x) - 4*w(x). -2*x - 104 Let i(o) = -8*o - 77. Let k(f) = -10*f - 76. Calculate -4*i(m) + 3*k(m). 2*m + 80 Let o(n) = n**2 + 7*n + 2. Let r be o(-6). Let p(w) = -4 + 7 + 4 + 1 + 16*w + 8. Let m(l) = 3*l + 3. Calculate r*p(s) + 22*m(s). 2*s + 2 Let o(v) = 3*v - 6. Let x(c) = -c. Give -o(d) + 3*x(d). -6*d + 6 Let w(m) = -m**2 + 2*m + 2. Let c be 1 + 6 + 30/(-6). Let j(a) = a**3 + 2*a**2 - 5*a - 5. What is c*j(p) + 5*w(p)? 2*p**3 - p**2 Let b(u) = -189*u**3 + 44*u**2 - 11*u + 5. Let x(v) = 38*v**3 - 8*v**2 + 2*v - 1. Give -6*b(h) - 33*x(h). -120*h**3 + 3 Let f(c) = 2 - 3 - 2. Let w(m) = m + 10. Let l = -2374 + 2372. Let t = 1 + -8. Determine l*w(g) + t*f(g). -2*g + 1 Let w(v) be the first derivative of -5*v**2/2 - 3*v - 1. Let b(p) = 2 - 2 + 1 + 2*p. Let t = -11673 - -11684. Give t*b(f) + 4*w(f). 2*f - 1 Let a(d) = d**3 - 16. Let r = 5 + -7. Let j = -20 + 15. Let k(o) = -o**3 + 8. Let m(t) = j*k(t) + r*a(t). Let z(s) = 2*s**3 - 5. Determine -5*m(p) + 8*z(p). p**3 Let p(d) = -2*d + 15. Let n(a) = -106 + 2*a + 178 - 88. Give 2*n(h) + 3*p(h). -2*h + 13 Let n(o) = o**3 - 6. Suppose -39 = -9*v + 6. Let w(i) = 5. What is v*n(h) + 6*w(h)? 5*h**3 Let o(g) = 920*g**3 - 13*g**2 + 13*g - 7. Let y(p) = -153*p**3 + 2*p**2 - 2*p + 1. What is -4*o(t) - 26*y(t)? 298*t**3 + 2 Let p(f) = f**3 - f**2 + f - 1. Let b(m) be the first derivative of m**4/2 - 4*m**3/3 + 2*m**2 - 7*m - 1. Let a = 50 - 51. Determine a*b(y) + 4*p(y). 2*y**3 + 3 Let g(s) = -6*s - 1. Let v(x) be the first derivative of 7*x**2/2 + x + 39. Let t(n) = 5*n + 1. Let u be t(-1). Determine u*v(w) - 5*g(w). 2*w + 1 Let w(p) = -4*p. Let c(g) = -50*g - 106. Give -c(f) + 12*w(f). 2*f + 106 Let k(b) = 26*b**2 + 5*b + 6. Let r(t) = 76*t**2 + 14*t + 16. Determine -8*k(j) + 3*r(j). 20*j**2
{ "pile_set_name": "DM Mathematics" }
11*n + 3. Let g be l(11). Which is smaller: g or c? c Let b be (-8 - 0) + 7 - 6/(673128/(-112180)). Which is smaller: b or 0? b Let h = -337801/59 - -5721. Are -4 and h equal? False Suppose 0 = -3*y + 5*c - 1131, -c = -5*y - 509 - 1398. Do -0.2 and y have the same value? False Let j be ((-2)/(-36))/((-9)/(-6)). Let v(d) = d**2 - 25*d + 117. Let l be v(19). Suppose 8 = 5*m + l*h, -3*h - 8 = -3*m - 8*h. Which is smaller: j or m? j Let z(t) = t + 5. Let l be z(-4). Let c be (28/(-4) - -6)/(l/(-76)). Does c = 77? False Let j(i) be the third derivative of 5*i**4/4 + 13*i**3/6 - i**2. Let p be j(-23). Let f = 16929/25 + p. Which is bigger: 0 or f? f Suppose 0 = -2*t - 5*n - 1410 - 342, -3*n + 3478 = -4*t. Let w = t - -877. Which is greater: w or 61/9? 61/9 Let i = -311 + 623. Let t = 315 - i. Are 1 and t nonequal? True Suppose 3*p - 4*p - 3*n - 14 = 0, 0 = 4*n + 12. Let a be -3 + -20 - (p - -3). Which is smaller: -20 or a? a Let h(z) = 2*z**3 + 11*z**2 - 91*z - 555. Let v be h(-7). Which is smaller: -767/12 or v? v Let s = 465 + -464. Let r be (3/6)/(5/40). Is r greater than s? True Let c(p) = -2*p**2 - 16*p - 11. Let b be c(-8). Let r = b + 21. Let d be (-186)/r*(-5 + 8)/9. Is d less than -5? True Suppose 5*m = -2*y - 299, -2*m + 3*y - 123 = -11. Let i = -9476 - -9415. Is i at most as big as m? True Suppose 6*y - 6118 = -3*y + 2675. Which is bigger: y or 2927/3? y Let k be (23/(-3))/((-1)/3). Let u be (333/148)/(27/264). Is k greater than or equal to u? True Let l = 1 - 2. Let o = -2805190/29 + 96730. Which is smaller: l or o? l Suppose -5*m + 7*m = -3*w - 10, -7 = -3*m + w. Let y(j) = 16*j**3 + j**2 + 3*j - 4. Let z be y(m). Is 50/3 less than or equal to z? False Let c be 4/10 + (-488)/1245. Let i(t) = 306*t - 6426. Let d be i(21). Which is smaller: c or d? d Let n(r) = r**3 - 7*r**2 + 5*r + 5. Let q be n(6). Let m = 12898 - 1689640/131. Is q at least as big as m? False Let q(m) = m**3 - 42*m**2 + 38*m + 123. Let t be q(41). Let f = -7 + 14. Suppose t = 6*i - f + 13. Is -6/37 at least as big as i? True Let b(h) = h**3 + h**2 + h. Let i(n) = -198*n**3 + 5*n**2 + 5*n - 1. Let z(f) = -5*b(f) + i(f). Let y be z(1). Let m be (-2)/(-17) + 772/y. Is -5 != m? True Suppose 0 = -0*i + 25*i. Let o be (-264)/(-56) + 4/14. Suppose -o*t + n - 9 = 0, -t - 6 = 6*n - 2*n. Are i and t equal? False Suppose 2 = 10*i - 9*i. Suppose 2*k = -5*p - 2 - i, 0 = 4*k - 5*p - 22. Suppose 4 = 4*j, -k*j - 87 = -z - 4*z. Which is greater: 1/2 or z? z Suppose 608 = -29*a - 291. Let i be 2/41*a/1178. Which is greater: i or -1? i Suppose -6*c + 21 = -63. Suppose -c = 27*i + 13. Is i less than or equal to -2/1263? True Let g(x) = 4*x - 88. Let h be g(-25). Let c = -245 - h. Is c greater than -54? False Let q be 0/((-4)/4 + 0). Suppose q = -i + 4*r - 0 + 37, 84 = 3*i - 3*r. Let z be ((-30)/i)/(3/10). Are -26/7 and z nonequal? True Let l be -10 - 19 - 11/(88/(-48)). Are -68 and l nonequal? True Let n be 9/12*(-88)/(-99)*45. Suppose -46 = g + 8. Let l = g + n. Is l > -26? True Suppose -2*k + 126 = 2*t + 82, 2*t - 2*k - 20 = 0. Is t less than -11? False Let c(s) be the second derivative of 8*s**4/3 - 41*s**3/3 + s**2/2 + 2*s - 7. Let o be c(3). Is o less than 39? False Let z be 477675/(-61620) - 8*-1 - (-1)/(-4). Which is smaller: z or -3? -3 Let m = 391281 + -126382451/323. Let p = 66/19 - m. Suppose 0 = -3*o - 2*o - 10. Are p and o non-equal? True Suppose -33*n + 27 = 27. Suppose 6*o + 7 - 1 = n. Is -2/819 less than o? False Let g = 4207 + -92569/22. Is g at least as big as 0.4? False Suppose 0 = -d + 30*d - 4785. Let c = 77 - d. Is c equal to -177/2? False Let y(t) = t**3 - 2*t**2 + 7*t - 4. Let z be y(6). Suppose 123*b - 183274 = -884*b. Is z at least b? True Let v be (1/2 + 0)*(5 + -1). Suppose 3*t = 4*m + 39, 0 = -m + v*t - 8 - 8. Is m not equal to -10? True Let d = -2/153 + -370/18513. Let q = 8216/363 - d. Is q smaller than 24? True Suppose -4*s - 42 - 38 = 0. Let z(g) be the second derivative of -g**3/6 + 3*g**2/2 + 34*g. Let y be z(23). Is y at most s? True Let j(o) = -o**3 + 33*o**2 + 32*o + 57. Let w be j(34). Let h be ((-10670)/120)/w + -2. Is 7 at least as big as h? True Let q = -25.74 + -5.26. Let d = 30.84 + q. Which is greater: d or 0.03? 0.03 Let l = 182 + -733/4. Let y = -5.62 - -5.57. Which is greater: y or l? y Let r be (8915/10)/((-3)/54*3). Is r greater than or equal to -5351? True Let i(u) = -7*u + 3. Let f be i(-3). Suppose -2*x + f = 4*r + 2*x, -2*x = r - 11. Let b be (r - 2)*(12 - -2). Do -15 and b have different values? True Let g be (2 - 3)*458/10. Let s(k) = -k**3 - 13*k**2 + 2*k - 19. Let y be s(-13). Let l = g - y. Which is bigger: 2 or l? 2 Suppose k - 13 = -w, 0 = -2*w + 2*k - 17 + 51. Let r be (-7)/(70/w)*(-1)/(-3). Which is smaller: r or -19? -19 Suppose 5*h + 6*z + 7 = 5*z, -2*z + 8 = -h. Let x(r) = 8*r + 26. Let l be x(h). Let w = 0.27 - -0.03. Which is smaller: w or l? w Let d(k) = -k**3 + 5*k**2 + k + 14. Let i be 0 + -43 + 2 + -1 + -2. Let t = 49 + i. Let p be d(t). Is p <= 19? True Let h = 16343 - 16343. Do h and 1/2428 have different values? True Let u = 447/7 - 3974/63. Which is smaller: u or 2? u Suppose -4*f + 11 = -4*p - 3*f, p + f = 1. Let j be -2*(-4 + 40/16). Are p and j unequal? True Suppose -157 + 4133 = -14*t. Let c be (-832)/t + (-15)/(-10)*-2. Which is bigger: c or 0? 0 Let b be -6*(6 - 3)/3*(-2 - -3). Which is greater: b or -7? b Let j = -2139 + 2140. Let a be -22*((-270)/32)/(-3). Let k = a + 62. Is k > j? False Suppose 182*s = 160*s - 198. Which is bigger: -12 or s? s Let k = -4747 + 4520.9. Let u = k - -226. Is u less than -119? False Let l = 1070 + -1069.9. Which is smaller: l or -3.805? -3.805 Suppose 0 = -v - 2*i - 9, -4*v + 17 = -5*i + 1. Let u be 3 - 2 - (-1 + v + 12). Does u = -21? False Let l = 3341 + -3340. Which is smaller: 2/3465 or l? 2/3465 Let n = 62165 + -62142. Suppose 0 = -2*g - 3 + 59. Which is smaller: g or n? n Let d = 400 + -397. Suppose -h + 8 = 2*k + 2*k, d*k + h - 6 = 0. Which is smaller: 7 or k? k Suppose 16*f + 28 = -20. Let s be 195*2/f + -7. Which is greater: s or -136? -136 Let y(u) = 2*u**3 - 120*u**2 + 8. Let v be y(6). Is -3880 at most as big as v? True Let m = -14 - -14. Suppose -x = -3*c + 11, -4*x + m*x - 8 = -3*c. Let p be (c + 10/(-12))/(3/(-6)). Is p less than -7? False Suppose 1557*z - 1543*z - 70 = 0. Let l be (-375)/(-120) - (-3 + 2). Do l and z have different values? True Let p = 7626 + -7626. Is 3/11929 != p? True Let u = -4 - -2. Let v be (u - -1)*31/(-1085). Suppose 0 = 4*t - 9*t + 5. Do t and v have the same value? False Let l be ((-3205)/(-8333))/((-2)/(-26)). Suppose -6 = -2*t + j, j - 6 = -2*t - 0*j. Is t smaller than l? True Let p be 771*(-2)/(-2)*(-2)/3. Suppose 2*g + 134*o = 133*o - 1019, 0 = 4*g + 5*o + 2023. Which is greater: p or g? g Suppose 17 = 5*c - 2*z - 14, 0 = 5*c + z - 22. Suppose 2*n - 32 = -3*u, 3*n = -n + 16. Do c and u have the same value? False Suppose -w - 5 = 2*y, -12*y - 20 = -17*y + 4*w. Let g = 1627/7 - 231. Is g equal to y? False Let v = -31700 + 31176. Is -524 bigger than v? False Let d be (408/(-10) - (-18)/(-45))/3. Let u = d - -22514/1635. Which is smaller: -1 or u? -1 Suppose -155 = 6*g + 25. Let x(v) = 9*v + 1. Let n be x(-6). Let a = g - n. Which is greater: a or 24? 24 Let b = -4.969 + -0.211. Let o = -3.18 - b. Which is smaller: o or -1? -1 Suppose b - 616 = 4*m, 4*b - 5*b + 592 = 4*m. Suppose 2*t = 3*h - b, -3*h + 7*t = 4*t - 606. Is 200 < h? False Let i be 35/(-14)*8/(-4). Suppose -2*q = -5*l - 5*q - 18, -i*q = -4*l - 7. Let s(p) = p**2 + 2*p - 2. Let w be s(l). Is -2/409 less than w? True Let u = -0.382 + 0.3921. Let t = u + -0.1101. Do t and -4/51 have the same value? False Let m = -301 + 376. Let i = m - 55. Let n = -28 + 48. Is n less than or equal to i? True Let p = -7316 + 7315.952. Is 48 at most p? False Let u be (-509)/(-2739) + 6/(-33). Let j = -608.1 - -607.1. Is j at most u? True Suppose -j = 4*j + 300. Let u = -970 - -908. Which is smaller: j or u? u Let v be 10/(-20)*186/31. Which is smaller: -38/21 or v? v Let v be 13*-9*(-18)/(-27). Let s be (0 - 57/7) + v/(-182). Which is bigger: s or -0.1? -0.1 Let h = 1 - 109. Let s = 175 + h. Let c = -2 + 2.1. Is s <= c? False Suppose -3*c = 5*z - 82, 2*c - 7*z - 15 - 19 = 0. Is 191/8 at m
{ "pile_set_name": "DM Mathematics" }
34? v - 39 What is the f'th term of 42, 45, 58, 87, 138, 217, 330, 483? f**3 - f**2 - f + 43 What is the m'th term of -826, -812, -784, -736, -662? m**3 + m**2 + 4*m - 832 What is the s'th term of 40, 47, 54, 61, 68, 75? 7*s + 33 What is the v'th term of -495, -992, -1489, -1986, -2483? -497*v + 2 What is the k'th term of -468, -947, -1432, -1923? -3*k**2 - 470*k + 5 What is the j'th term of -990, -988, -986, -984, -982, -980? 2*j - 992 What is the c'th term of -40, -16, 10, 32, 44, 40, 14? -c**3 + 7*c**2 + 10*c - 56 What is the r'th term of 61, 121, 183, 247, 313? r**2 + 57*r + 3 What is the j'th term of -586, -589, -592? -3*j - 583 What is the m'th term of -28, -32, -36? -4*m - 24 What is the w'th term of -901, -914, -941, -988, -1061? -w**3 - w**2 - 3*w - 896 What is the z'th term of -15, -29, -61, -117, -203, -325? -z**3 - 3*z**2 + 2*z - 13 What is the h'th term of 16, -34, -180, -470, -952, -1674, -2684, -4030? -8*h**3 + 6*h + 18 What is the q'th term of 3, 0, 3, 18, 51, 108, 195, 318? q**3 - 3*q**2 - q + 6 What is the m'th term of 76, 590, 1972, 4654, 9068, 15646, 24820, 37022? 72*m**3 + 2*m**2 + 4*m - 2 What is the d'th term of 23, 153, 501, 1175, 2283, 3933? 18*d**3 + d**2 + d + 3 What is the w'th term of 1770, 1776, 1780, 1782, 1782? -w**2 + 9*w + 1762 What is the f'th term of 7, 49, 109, 193, 307, 457, 649? f**3 + 3*f**2 + 26*f - 23 What is the w'th term of 6, 26, 58, 102? 6*w**2 + 2*w - 2 What is the q'th term of 7, 5, 3, -5, -25, -63, -125, -217? -q**3 + 6*q**2 - 13*q + 15 What is the b'th term of 181, 335, 491, 649, 809, 971? b**2 + 151*b + 29 What is the a'th term of 390, 392, 396, 402, 410? a**2 - a + 390 What is the b'th term of 41, 161, 359, 635, 989, 1421, 1931? 39*b**2 + 3*b - 1 What is the n'th term of 579, 580, 581, 582, 583, 584? n + 578 What is the o'th term of 148, 152, 156, 160? 4*o + 144 What is the b'th term of 116, 237, 358, 479? 121*b - 5 What is the v'th term of -398, -405, -424, -461, -522, -613, -740? -v**3 - 397 What is the v'th term of 30, 86, 180, 312, 482, 690, 936? 19*v**2 - v + 12 What is the j'th term of 2472, 2471, 2470, 2469, 2468, 2467? -j + 2473 What is the l'th term of -860, -863, -866, -869, -872? -3*l - 857 What is the d'th term of 68, 74, 90, 122, 176, 258, 374, 530? d**3 - d**2 + 2*d + 66 What is the x'th term of 514, 524, 534, 544, 554? 10*x + 504 What is the h'th term of 134, 145, 146, 131, 94, 29, -70, -209? -h**3 + h**2 + 15*h + 119 What is the w'th term of 710, 1424, 2140, 2858, 3578, 4300, 5024? w**2 + 711*w - 2 What is the d'th term of -8, -19, -38, -65, -100? -4*d**2 + d - 5 What is the n'th term of -8, -19, -42, -83, -148, -243, -374, -547? -n**3 - 4*n - 3 What is the g'th term of 17, 33, 61, 101, 153? 6*g**2 - 2*g + 13 What is the q'th term of -241, -478, -705, -916, -1105, -1266, -1393, -1480? q**3 - q**2 - 241*q What is the j'th term of 172, 171, 170, 169? -j + 173 What is the o'th term of -33, -80, -141, -222, -329, -468, -645? -o**3 - o**2 - 37*o + 6 What is the v'th term of 7, 1, -13, -41, -89? -v**3 + 2*v**2 - 5*v + 11 What is the s'th term of 2301, 4602, 6905, 9210? s**2 + 2298*s + 2 What is the n'th term of -13, -21, -27, -31? n**2 - 11*n - 3 What is the y'th term of 33, 25, 19, 15, 13, 13? y**2 - 11*y + 43 What is the b'th term of -83, -173, -263? -90*b + 7 What is the w'th term of 147, 310, 471, 630, 787, 942? -w**2 + 166*w - 18 What is the s'th term of -78, -173, -280, -405, -554, -733? -s**3 - 88*s + 11 What is the g'th term of -23, -50, -77? -27*g + 4 What is the m'th term of -4159, -4153, -4147? 6*m - 4165 What is the q'th term of 688, 690, 692, 694, 696? 2*q + 686 What is the g'th term of -46, -204, -472, -850? -55*g**2 + 7*g + 2 What is the q'th term of 807, 815, 833, 867, 923, 1007, 1125? q**3 - q**2 + 4*q + 803 What is the p'th term of -1057, -2123, -3189, -4255, -5321, -6387? -1066*p + 9 What is the w'th term of 12, 19, 36, 69, 124, 207, 324, 481? w**3 - w**2 + 3*w + 9 What is the h'th term of 195, 205, 229, 273, 343, 445, 585, 769? h**3 + h**2 + 193 What is the y'th term of 46, 49, 52, 55, 58, 61? 3*y + 43 What is the v'th term of 2, 7, 12, 17, 22, 27? 5*v - 3 What is the f'th term of -83, -85, -87, -89? -2*f - 81 What is the m'th term of 5, 12, 19? 7*m - 2 What is the g'th term of 17, 7, -3, -13, -23? -10*g + 27 What is the l'th term of -45, -34, -17, 0, 11, 10, -9? -l**3 + 9*l**2 - 9*l - 44 What is the h'th term of 1034, 2089, 3156, 4241, 5350, 6489, 7664, 8881? h**3 + 1048*h - 15 What is the t'th term of 1, 6, 33, 94, 201, 366, 601? 2*t**3 - t**2 - 6*t + 6 What is the t'th term of 3119, 3118, 3117, 3116, 3115? -t + 3120 What is the c'th term of -25, -17, -5, 17, 55? c**3 - 4*c**2 + 13*c - 35 What is the g'th term of -119, -96, -47, 34, 153, 316? g**3 + 7*g**2 - 5*g - 122 What is the g'th term of 38, 99, 182, 287, 414? 11*g**2 + 28*g - 1 What is the j'th term of -213, -220, -231, -246, -265, -288, -315? -2*j**2 - j - 210 What is the z'th term of -82, -90, -98, -106, -114, -122? -8*z - 74 What is the k'th term of 18, 47, 90, 153, 242, 363, 522? k**3 + k**2 + 19*k - 3 What is the p'th term of 1299, 2589, 3879, 5169, 6459? 1290*p + 9 What is the j'th term of -11862, -11864, -11866, -11868, -11870? -2*j - 11860 What is the p'th term of -10, 14, 68, 164, 314, 530, 824, 1208? 2*p**3 + 3*p**2 + p - 16 What is the t'th term of 261, 322, 397, 492, 613? t**3 + t**2 + 51*t + 208 What is the u'th term of 34, 36, 38, 40? 2*u + 32 What is the p'th term of 29, 93, 209, 383, 621, 929, 1313, 1779? p**3 + 20*p**2 - 3*p + 11 What is the r'th term of -2724, -5452, -8180? -2728*r + 4 What is the l'th term of -6702, -6697, -6690, -6681, -6670, -6657? l**2 + 2*l - 6705 What is the i'th term of -3, 8, 29, 60, 101? 5*i**2 - 4*i - 4 What is the m'th term of -141, -283, -425, -567? -142*m + 1 What is the j'th term of 0, 6, 8, 0, -24? -j**3 + 4*j**2 + j - 4 What is the w'th term of 17, 3, -11? -14*w + 31 What is the j'th term of 36, 44, 52, 60? 8*j + 28 What is the t'th term of -876, -878, -880, -882, -884? -2*t - 874 What is the q'th term of 636, 2527, 5678, 10089, 15760, 22691, 30882? 630*q**2 + q + 5 What is the j'th term of -56, -106, -154, -200? j**2 - 53*j - 4 What is the f'th term of 81, 66, 55, 48, 45? 2*f**2 - 21*f + 100 What is the o'th term of -35, -11, 27, 79, 145, 225, 319? 7*o**2 + 3*o - 45 What is the l'th term of 484, 921, 1358, 1795? 437*l + 47 What is the o'th term of -337, -337, -333, -325, -313, -297, -277? 2*o**2 - 6*o - 333 What is the a'th term of -838, -834, -832, -832, -834, -838, -844? -a**2 + 7*a - 844 What is the u'th term of -10, -28, -62, -118, -202? -u**3 - 2*u**2 - 5*u - 2 What is the f'th term of -55, -124, -199, -280, -367? -3*f**2 - 60*f + 8 What is the i'th term of 145, 146, 151, 160, 173? 2*i**2 - 5*i + 148 What is the x'th term of -97, -122, -133, -124, -89? x**3 + x**2 - 35*x - 64 What is the c'th term of 117, 116, 115, 114, 113? -c + 118 What is the g'th term of -46, -56, -72, -94? -3*g**2 - g - 42 What is the x'th term of -28, -41, -30, 17, 112, 267, 494, 805? 2*x**3 - 27*x - 3 What is the n'th term of -22, -39, -68, -109, -162, -227, -304? -6*n**2 + n - 17 What is the v'th term of 277, 581, 897, 1231, 1589, 1977? v**3 + 297*v - 21 What is the j'th term of 29743, 29745, 29747? 2*j + 29741 What is the f'th term of 108, 56, -24, -126, -244, -372, -504? f**3 - 20*f**2 + f + 126 What is the k'th term of 14, 9, 2, -7, -18, -31? -k**2 - 2*k + 17 What is the v'th term of -150, -294, -428, -546, -642, -710? v**3 - v**2 - 148*v - 2 What is the w'th term of 8, 16, 24, 32, 40? 8*w What is the a'th term of 19, 57, 109, 181, 279? a**3 + a**2 + 28*a - 11 What is the f'th term of -188, -377, -566, -755, -944? -189*f + 1 What is the p'th term of -7632, -15264, -22884, -30486, -38064? p**3 - 7639*p + 6 What is the f'th term of -167, -169, -171, -173? -2*f - 165 What is the h'th term of -329, -327, -327, -329, -333, -339, -347? -h**2 + 5*h - 333 What is the p'th term of -6, -3, 18, 69, 162, 309, 522? 2*p**3 - 3*p**2 - 2*p - 3 What is the x'th term of -894, -897, -900, -903, -906, -909? -3*x - 891 What is the z'th term of -587, -592, -597, -602? -5*z - 582 What is the o'th term of -25, -69, -145, -265, -441? -2*o**3 - 4*o**2 - 18*o - 1 What is the g'th term of 15, 1
{ "pile_set_name": "DM Mathematics" }
t v be (180/48)/((-2)/(-8)). Let p be v/10*(3 - 1). Factor 1 - 3*z**2 - 4 + p*z + 3. -3*z*(z - 1) Let z(b) = 18212*b**4 - 11624*b**3 + 2176*b**2 - 80*b. Let k(y) = 6071*y**4 - 3874*y**3 + 725*y**2 - 27*y. Let h(c) = 16*k(c) - 5*z(c). Let h(s) = 0. What is s? 0, 2/31, 2/7 Let q(c) be the second derivative of 2*c**7/21 + 2*c**6/5 - 3*c**5 - 19*c**4/3 + 20*c**3 - 278*c. Solve q(p) = 0. -5, -2, 0, 1, 3 Let v(j) be the second derivative of 0*j**3 - 8/45*j**6 - 2/9*j**4 + 2/63*j**7 + 16*j + 0 + 1/3*j**5 + 0*j**2. Suppose v(w) = 0. What is w? 0, 1, 2 Let x be (7 + -8)*(4 + 6/(-1)). Let f(i) be the first derivative of -3/4*i**3 + 11/8*i**x - 2 - 1/2*i. Solve f(k) = 0. 2/9, 1 Let v = -303 + 305. Suppose 0 = -2*n - v*n - 3*n. Factor 5/2*g**2 + 1/2*g**4 - 2*g**3 + n - g. g*(g - 2)*(g - 1)**2/2 Let o = 5 - 3. Suppose -6*t = -o*t - 20. Factor 2*y**t + 12*y**3 + 0*y + 3*y**4 - 13*y**2 + 21*y**2 + 2*y + 5*y**4. 2*y*(y + 1)**4 Let x(q) = -q**3 + q. Suppose -3*f = -5*f, -10 = 5*i - f. Let b(a) = 2*a**3 + 4*a**2 - 2*a - 4. Let u(y) = i*x(y) + b(y). Factor u(o). 4*(o - 1)*(o + 1)**2 Let r be 8/60 - 56/(-90)*3. Let v(a) be the third derivative of 0*a + 1/21*a**3 - 4/105*a**6 + 0 + 4/105*a**5 + 1/12*a**4 + 3*a**r. Factor v(w). -2*(w - 1)*(4*w + 1)**2/7 Let d = 14 - 12. Factor 4*f**d - 4 + 2*f**2 - 5*f**2 - 3*f**2 + 6*f. -2*(f - 2)*(f - 1) Let t = 1803 + -1801. Find l, given that 5/3*l**t + 5/3*l**3 - 5/3 - 5/3*l = 0. -1, 1 Let w = 29/795 + 26/159. What is o in w*o + 2/5*o**2 + 0 + 1/5*o**3 = 0? -1, 0 Let n(h) be the first derivative of 2*h**5/45 - 11*h**4/9 + 118*h**3/9 - 616*h**2/9 + 1568*h/9 - 145. Let n(x) = 0. What is x? 4, 7 Let k = -87/2 + 45. Let a(w) be the first derivative of 1/6*w**6 + 7 - k*w**2 + 1/2*w**4 + 2/3*w**3 - 3/5*w**5 + w. Determine r so that a(r) = 0. -1, 1 Let o(s) = s**3 - 4. Let p be o(0). Let l be 11*(5 - 6)*p/22. What is w in 12*w + 15/2*w**l + 3/2*w**3 + 6 = 0? -2, -1 Let d(w) be the first derivative of 0*w - 5/6*w**6 + 0*w**3 + 5/4*w**4 + 0*w**5 - 11 + 0*w**2. Solve d(t) = 0. -1, 0, 1 Solve 57/7*t**2 - 15*t - 3/7*t**3 + 51/7 = 0 for t. 1, 17 Let k(f) be the third derivative of -f**6/40 + 7*f**5/20 - f**4 - 8*f**3 - 33*f**2. Suppose k(m) = 0. What is m? -1, 4 Let q(y) be the second derivative of -y**4/3 + 2*y**3/3 + 12*y**2 + 11*y - 3. Factor q(a). -4*(a - 3)*(a + 2) Let t(j) be the third derivative of j**8/112 - j**7/70 - 3*j**6/40 + j**5/20 + j**4/4 - 60*j**2. Factor t(s). 3*s*(s - 2)*(s - 1)*(s + 1)**2 Suppose -3*u = -0*u - 12. Factor 19 + 46*v**2 - 3 - 7*v**3 + u*v**4 + 48*v + 31*v**3 + 6*v**2. 4*(v + 1)**2*(v + 2)**2 Solve -4/5*a - 4 + 17*a**2 - 73/5*a**3 + 7/5*a**4 + a**5 = 0 for a. -5, -2/5, 1, 2 Factor -6*r**2 - 6*r**2 - 7168 + 7*r**2 - 3628 - 450*r + 671. -5*(r + 45)**2 Let a be ((-30)/(-180))/((-1)/(-2))*1. Let b(q) be the first derivative of 0*q + a*q**2 - 1/12*q**4 + 1/9*q**3 + 2. Factor b(k). -k*(k - 2)*(k + 1)/3 Factor 0 - 3*a**2 - 4*a - 1/2*a**3. -a*(a + 2)*(a + 4)/2 Let x = 12 - -3. Suppose x = 2*f - 5*t - 1, t = -2*f + 16. Solve 2*y**2 - f + 7 - 2*y**4 + y**4 = 0 for y. -1, 1 Find h, given that 7 - 98*h + 17 + 14*h**3 + 80*h**2 - 32*h**3 + 12*h**3 = 0. 1/3, 1, 12 Let g(w) = 4*w**3 + 8*w**2 - 57*w + 50. Let s(v) = -2*v**3 - 4*v**2 + 28*v - 24. Let i(p) = -4*g(p) - 10*s(p). Suppose i(o) = 0. What is o? -5, 1, 2 Let g(h) be the first derivative of 1/36*h**6 + 0*h - 7/2*h**2 - 5/36*h**4 + 3 - 2/9*h**3 + 1/45*h**5. Let d(b) be the second derivative of g(b). Factor d(i). 2*(i - 1)*(i + 1)*(5*i + 2)/3 Let o(j) = -j**4 - j**3 - 1. Let v(l) = l**4 + 13*l**3 + 4*l**2 - 8*l + 5. Let x(q) = 5*o(q) + v(q). Find r such that x(r) = 0. -1, 0, 1, 2 Let v(b) be the third derivative of b**5/40 + 7*b**4/16 + 3*b**3 + 54*b**2. Factor v(q). 3*(q + 3)*(q + 4)/2 Let h(d) be the third derivative of d**8/20160 - d**7/5040 - d**5/30 - 9*d**2. Let r(f) be the third derivative of h(f). Suppose r(v) = 0. Calculate v. 0, 1 Let n be 108180/56*(-16)/20. Let g = n + 1548. Factor 44/7*i**2 - 48/7*i + 2/7*i**4 + g - 16/7*i**3. 2*(i - 3)**2*(i - 1)**2/7 Let a(t) be the third derivative of -t**7/105 + t**6 - 419*t**5/15 - 155*t**4 - 961*t**3/3 + 10*t**2 + 1. Solve a(w) = 0 for w. -1, 31 Determine x, given that 108*x + 15*x**2 + 54*x**2 - 423*x + 2*x**3 - 7*x**3 + 16*x**2 - 405 = 0. -1, 9 Suppose 345*z**2 + 64*z**3 - 229*z**3 + 276*z**4 - 281*z**4 - 175*z = 0. Calculate z. -35, 0, 1 Let u(a) be the second derivative of a**9/20160 - a**7/1120 + a**6/480 - 3*a**4/4 - 5*a. Let t(i) be the third derivative of u(i). Let t(y) = 0. Calculate y. -2, 0, 1 Suppose -30*d = -26*d + 20. Let v be 4/(d/(-3)*(-64)/(-80)). Factor 4/11 + 2/11*u - 2/11*u**v - 4/11*u**2. -2*(u - 1)*(u + 1)*(u + 2)/11 Let m be ((-30)/25)/((-2)/10). Let u(w) be the second derivative of 1/105*w**m - 1/21*w**3 - 7*w + 0*w**2 + 1/14*w**4 + 0 - 3/70*w**5. Solve u(f) = 0. 0, 1 Factor -2/9*a**4 + 0 - 10/3*a**3 + 32/9*a**2 + 0*a. -2*a**2*(a - 1)*(a + 16)/9 Let q(m) be the first derivative of 12 + 5*m + 5/3*m**3 - 5*m**2. Factor q(g). 5*(g - 1)**2 Let k(l) be the first derivative of 0*l + 7 + 1/30*l**6 - 1/20*l**4 - 1/25*l**5 + 0*l**2 + 1/15*l**3. Factor k(x). x**2*(x - 1)**2*(x + 1)/5 Suppose 97 + 5 = 51*x. Factor 0 + 0*m + 3/10*m**3 + 1/2*m**4 - 1/5*m**x. m**2*(m + 1)*(5*m - 2)/10 Let t(o) be the second derivative of -o**8/112 - 3*o**7/70 - o**6/20 + 31*o**2/2 - 7*o - 3. Let j(r) be the first derivative of t(r). Factor j(q). -3*q**3*(q + 1)*(q + 2) Let i(p) be the second derivative of -p**4/72 - 2*p**3/3 - 12*p**2 + 16*p + 3. What is r in i(r) = 0? -12 Suppose 0 = -5*u - 4*d - 378, -5*u - 262 - 106 = -d. Let g = u - -74. Factor 3/5*j**5 + 2/5*j**3 + 0*j + g + j**4 + 0*j**2. j**3*(j + 1)*(3*j + 2)/5 Let u = 19006/3 - 6226. Let y = -108 + u. Determine o so that 2/3*o**4 - 2/3*o**5 + 0 + 0*o + y*o**3 + 0*o**2 = 0. -1, 0, 2 Let u(t) be the first derivative of 3*t**4/10 + 8*t**3/5 - 111*t**2/5 - 48*t + 440. Let u(d) = 0. Calculate d. -8, -1, 5 Suppose 5*j + 5*r = -15, -3 = -4*j - r - 0. Let 0 + 0 - 6*v - 2*v**3 - 6*v**j - 2 = 0. What is v? -1 Let u(v) = -2*v**3 + 18*v**2 - 76. Let c(o) = -o**3 + 6*o**2 - 27. Let g(h) = -14*c(h) + 5*u(h). Factor g(n). 2*(n + 1)**2*(2*n - 1) Let r = 31 + -28. Determine i so that 6*i**3 + 5*i - 6*i**r - 4*i**3 - i = 0. -1, 0, 1 Let h be 7*1*(-18)/(-63). Suppose 19 = -h*y + 23. Let -i**3 - 2 - 2*i**3 + 3*i**y - i**2 + i + 2*i**3 = 0. What is i? -1, 1, 2 Let d be ((-36)/(-30))/((-9)/(-30)). What is j in -10 + 15*j + 10*j**2 - 34*j**3 + 14*j**3 + j**5 + d*j**5 = 0? -2, -1, 1 Let x(r) be the second derivative of -1/2*r**5 + 10/3*r**3 - 1/6*r**6 + 17*r - 10*r**2 + 5/4*r**4 + 0. Factor x(g). -5*(g - 1)**2*(g + 2)**2 Let t(g) be the second derivative of -g**7/1470 + g**6/420 - g**5/420 + 6*g**2 - 9*g. Let q(d) be the first derivative of t(d). Factor q(r). -r**2*(r - 1)**2/7 Let y(x) = 109*x + 1308. Let v be y(-12). Factor 1/2*h**2 - 1/4*h + v - 1/4*h**3. -h*(h - 1)**2/4 Suppose -15*w = -11*w + 20. Let r(y) = 12*y**3 + 17*y**2 + 3*y - 2. Let k(a) = a**3 + a**2. Let s(h) = w*k(h) + r(h). Factor s(l). (l + 1)**2*(7*l - 2) Let m be -1 - (5 - (2 + 9)). Let v(t) be the second derivative of 1/5*t**6 - 1/2*t**4 + 0*t**2 + 0 - m*t - 1/10*t**5 + 1/3*t**3. Factor v(w). 2*w*(w - 1)*(w + 1)*(3*w - 1) Suppose 0 = 394*h - 410*h. Factor 2/23*z - 8/23*z**2 + h. -2*z*(4*z - 1)/23 Let o be (0 - -1 - 2)*(-9 + 7). Let g be (-4 + (-8)/(-2))/o. Factor -1/6*d**4 + 5/6*d**3 + 2/3*d + g - 4/3*d**2. -d*(d - 2)**2*(d - 1)/6 Suppose -2*p + 3*p - 2 = 0. Suppose -4*w**4 - 37*w**2 + 79*w**p - 38*w**2 = 0. What is w? -1, 0, 1 Let q(g) be the second derivative of -g**7/630 - g**6/180 - g**5/180 + 3*g**2/2 + 9*g. Let s(i) be the first derivative of q(i). Factor s(v). -v**2*(v + 1)**2/3 Let j(c) be the first derivative of -c**6/15 - 8*c**5/25 + 2*c**4/5 + 44*c**3/15 - 3*c**2/5 - 36*c/5 + 151. Let j(f) = 0. What is f? -3, -1, 1, 2 Let n(x) = -x**3 - 50*x**2 - 32*x + 835. Let v be n(-49). Suppose -12*j**v + 8/3 - 28/3*j = 0. Calculate j. -1, 2/9 Determine u so that 1 + 7/3*u**4 - 16/3*u + 10*u**2 - 8*u**3 = 0. 3/7, 1 Factor -t**3 - 4 + 0*t - t**3 + 0*t + 2*t + 4*t**2. -2*(t - 2)*(t - 1)*(t + 1) Let b(m) be the third derivative of m**5/240 - m**4/8 - 13*m**3/24 + 285*m**2. Factor b(j). (j - 13)*(j + 1)/4 Suppose 4*n
{ "pile_set_name": "DM Mathematics" }
4. Which is the closest to -8/3? (a) 0 (b) k (c) -4/3 c Let r = 970 + -970. Which is the nearest to 2/9? (a) 2/19 (b) -4 (c) 0.2 (d) r c Let f = 0.4 - 0.1. Let x = -650 + 650. Let u be ((-9)/30)/(30/40). Which is the closest to u? (a) f (b) -3 (c) x c Let z = 155.2 - 185. Let b = -30 - z. What is the nearest to b in -5, -1, 1? -1 Let k = 3817 - 3815. Let x be (-5)/(-3 + (-4)/(-2)). Which is the nearest to -1? (a) x (b) k (c) 0.1 c Let j = 28957079/94269 + -358/4489. Let l(k) = 155*k + 3. Let m be l(-2). Let g = j + m. Which is the nearest to -0.1? (a) g (b) 5 (c) 2 a Let d = 5.6 + -8.6. Let z be 2/(-3) + 814/6. Let f = 673/5 - z. What is the closest to -1 in f, 0.5, d? f Let l(o) = -6*o + 18. Let d be l(3). Suppose 0 + 6 = -3*x. Which is the closest to d? (a) -1 (b) x (c) -3 a Suppose -21*s + 75 = 33. What is the closest to -0.2 in 5/4, -1/3, s? -1/3 Let d = -137.7 - -138.7. Which is the closest to d? (a) 4 (b) -9.2 (c) 0.3 c Let o = -22.021 + 0.021. Let y = 3.1 + -24.7. Let m = y - o. Which is the closest to 1/2? (a) m (b) -0.4 (c) -2/7 a Let f = 4.07 - 4.08. What is the nearest to 2/5 in -6, -0.2, f? f Let d = 3361.5 + -3362. Let l = 2 + -1. What is the closest to l in -0.1, 4, d? -0.1 Let y = 18.3 - 3.3. Let d = y + -15. Which is the nearest to 2? (a) d (b) 5 (c) 3 c Let r = -1.97 - -2.17. Let z be 1/(3 - 4/(-8)). What is the nearest to z in 3/5, -3, r? r Let y = 2 - 1. Let m = -707 - -705. What is the closest to y in -4, m, 2/3? 2/3 Let j(v) be the second derivative of v**3/3 + 11*v**2/2 - 7*v. Let i be j(-5). Which is the closest to i? (a) 0.1 (b) 1 (c) -7 b Let s = -1.84 + -0.06. Let i = 2 + s. Let v = -45 - -44.5. Which is the closest to i? (a) 5 (b) 7 (c) v c Suppose -2*t + t + 2*z = 110, 0 = 3*t + z + 323. Let i = -88 - t. Which is the nearest to -1? (a) i (b) -4 (c) -0.3 c Let t(j) = j**2 - 15*j + 55. Let u be t(7). Which is the closest to u? (a) 21/2 (b) 4 (c) 0 c Let q = -60 - -60.3. What is the closest to -1 in -4, 3, q? q Let m = -60 + 62. Let r = -1.9 + 2. What is the nearest to 2 in 1, m, r? m Let t = 5.81 - 2.81. Let d be 2*(-2 - (-16)/6). Let w be (-9)/15 + (-3)/(-15). What is the nearest to -0.05 in t, d, w? w Let s = -100 - -101. What is the nearest to -2 in 3, s, -2/5? -2/5 Let y = 0.6 + -0.5. Let g = -1.1 + y. Let j = 0.13 - -0.87. What is the closest to j in -0.3, g, -2? -0.3 Let i = 3 + -2.5. Let j = -12.2 + 8. Let y = -0.2 - j. Which is the nearest to 1/3? (a) y (b) 0 (c) i c Let w be -14 - (-11 - 21/12). Let q = 8 - 5. Let m(x) = -x - 1. Let i be m(0). What is the closest to i in q, -0.1, w? w Suppose t + 3*t + 253 = 5*j, 0 = 2*j - 10. Let q = t + 59. What is the closest to q in -2, -0.2, 4? 4 Let f = 1.69 - 1.59. Let z = -0.08 + -2.92. Which is the closest to f? (a) -0.4 (b) -2 (c) z a Let s = 235 + -233. Let d = -17/11 + 101/44. Which is the closest to -1/3? (a) d (b) 5 (c) s a Let n = 27 + -13. Let r be (-189)/14 - (-2)/4. Let w = r + n. What is the nearest to 1 in -0.5, 0.5, w? w Let f = -1/4 - -1/8. Let w = -4.1 + 4. Let a be (-2)/7 - 33/(-42). What is the closest to a in w, 3, f? w Suppose 0 = -h + 2*h + 3*l + 8, 2*h = -3*l - 16. Let v be (-22)/(-3)*24/h. Let w = 18 + v. Which is the closest to 0.2? (a) 2 (b) w (c) 5 a Let q = 11 + -7. Let v = 18 - 19.4. Let m = -1.7 - v. What is the nearest to -2/5 in m, 0.3, q? m Let v = -50.9 + 53. Let i = -2 + v. Which is the closest to 3/2? (a) -3/2 (b) 2/7 (c) i b Let u be (0/(-1))/((-135)/9 + 16). Which is the nearest to -2/3? (a) 3 (b) -4 (c) u (d) 5 c Let x = -22.3 + 17.3. Which is the nearest to 0.1? (a) -4 (b) 1/3 (c) x b Let l = 0.73 - 0.83. What is the closest to -1 in -3, l, -1/5? -1/5 Let x = 0.8 - -12.2. Let h = -11 + 1. Let g = x + h. Which is the closest to -1/3? (a) -2 (b) g (c) -1/3 c Let l = 322 - 324. Let d = -1 - -0.9. Let b be ((-4)/27)/((-2)/(-3)). What is the nearest to 0 in b, d, l? d Let s be (-18)/12 - (-5)/2. Let r = 0.14 - 0.24. Which is the nearest to r? (a) s (b) -20 (c) 4 a Let l = 7 - -11. Let w = 55/3 - l. Let f = 1 + -0.7. What is the nearest to -0.1 in w, 3, f? f Let m = -1434 + 1434.1. Let d = -9.79 + -0.21. Which is the closest to 1? (a) m (b) -4/5 (c) d a Let w = 248.4 + -248. Let t = -12.3 + 12. What is the nearest to 0.3 in t, w, 0.1? w Suppose -182 = -3*c - 182. What is the nearest to 3/4 in c, 0.4, 1/2, -2/7? 1/2 Let c(k) = 1 + k**2 - k**2 - 2*k**2 + 3*k**2 - 3*k. Let x be c(4). What is the closest to 1 in 0, x, -2/3? 0 Let x = -384 + 306. Which is the nearest to -1? (a) x (b) 1/3 (c) 0 c Let k = -10.864 - -0.064. Let j = k + 8.8. Let i = -4 + 4.1. What is the nearest to i in j, -0.3, 3/7? 3/7 Let v = -2.47 + 2.97. What is the nearest to -2/7 in v, -8, -0.5, 1? -0.5 Let n = 8.8 + 40.2. Let i = 48.6 - n. Let f = -3.5 + 3. What is the closest to i in f, 1/8, 2/9? f Let u = 0.03 - -6.97. Let w = u - 7.1. Let r = -1.3 + -3.7. Which is the nearest to 3/2? (a) w (b) r (c) -0.2 a Let t = 5356 - 37494/7. Let n = 7.7 - 8. What is the closest to t in 0.4, -4, n? n Let q be (1 - (-54)/(-52))*10/(-5). What is the closest to 0 in 0.5, 0.1, q, -0.2? q Let g be ((-32)/40)/((-3)/90). Let y be (-22)/g + (-18)/(-27). Let d = 2/33 - -95/66. Which is the nearest to y? (a) d (b) 1 (c) -2/15 c Suppose 0 = -5*d + m + 10, 0*d + 4*m + 21 = d. Let h be 55/(-20) - -2*d. Let k be ((-6)/(-10))/(3/(-2)). Which is the closest to -1? (a) -2/13 (b) k (c) h c Let j be 16/(-24) - 31/12. Let t = j - -43/12. Which is the nearest to 1/7? (a) -1/4 (b) -2/15 (c) t c Let l = 561.6 - 562. Which is the closest to 8/3? (a) 3 (b) -0.3 (c) 0.2 (d) l a Suppose -10*k + 7*k - 3 = 0. Which is the closest to 0.1? (a) k (b) -43 (c) -3 a Let s = 60 + -38.8. Let z = 38 + -59. Let h = z + s. What is the closest to h in -5, 0, 5? 0 Let s = 0.339 + -0.279. Which is the closest to 0.1? (a) 3 (b) 0 (c) s (d) 0.4 c Let u = -5/18 - 7/18. What is the nearest to 0.3 in u, -0.1, 1/30? 1/30 Let s be (-112)/588 - (4/(-14) - (-39)/91). Let h = 47/24 - 21/8. What is the closest to 2 in s, h, -3? s Let d = -0.737 + 0.237. What is the nearest to 1/2 in d, -9/2, -5? d Let s = -968 + 6778/7. What is the closest to 4 in 12, -1, s, 3? 3 Let v(h) = -5*h + 4*h + h + h - 9. Let j be v(8). Which is the closest to j? (a) -3/2 (b) -1 (c) 1/3 b Let r = -863/1140 + 2/285. Let s = 18.5 - 18.8. Which is the nearest to -2/5? (a) -3/2 (b) s (c) r b Let x = 3/236 + -251/1180. Let h = 0.08 - 4.08. What is the closest to 1 in h, 0, x? 0 Let i = 68/3 + -343/15. Which is the nearest to -1? (a) 0.01 (b) -5/3 (c) -13 (d) i b Let d = -6 + 6. Let z = -2 - 4.3. Let b = z + 5.3. What is the closest to b in -0.1, 4/3, d? -0.1 Let a(y) = -y**2 - 18*y - 33. Let u be a(-16). Let t be (-8)/(-10)*(-6)/(-8). Let x = 13/42 - -1/42. What is the closest to u in t, x, -1? -1 Suppose -4*f = -14 + 2. Let c = -0.237 + 0.037. What is the closest to 2/9 in f, c, 0.3? 0.3 Let w = -155/1038 - 3/173. Let b = 3.96 - -0.04. What is the nearest to w in b, -5, 5? b Let p = -1446.3 - -1447. Which is the nearest to 1? (a) p (b) 0.09 (c) 4 a Let f = 0.74 - 0.84. Let p(q) = -q**2 - q. Let b be p(-2). Let v(i) = i - 1. Let l be v(3). What is the nearest to f in b, l, -1? -1 Let m = -19.7 + 17.7. What is the nearest to -1 in -2/7, 3, m? -2/7 Let h be 1 + 28/(-45) + 15/(-25). Which is the closest to 0? (a) 0.2 (b) h (c) 22 a Let j be (-6)/(-21) - 64/126. Let w(m) = m - 21. Let g be w(26). Which is the closest to 1? (a) 0.1 (b) j (c) g a Suppose 20 = -5*y - c - 0, -4*y = 5*c + 37. Let p be (-12)/(-18)*y/(-6). What is the closest to p in -0.3, 0, -2? 0 Let o = -3/191 + 215/1528. Let q = -0.1 + 0.2. Let n = 0.2 - q. What is the closest to n in 0.4, 1, o? o Suppose 1070 - 1124 = -9*x. What is the closest to 0.1 in -5, x, -8/7? -8/7 Suppose 3*p = -4*h + 20, -p + 2*h = -3*h + 25. Suppose p = -w - 13 - 27. Let s be w/(-50) - 2/(-10). Which is the nearest to 2/3? (a) s (b) 4 (c) -4 a Let n be (-1)/6 + ((-21)/9 - -1). Let v = 16 - 15. Which is the nearest to 2/5? (a) v (b) n (c) -4 a Let l = -0.3 + 1.3. Let f = -14.277 - -14.677. What is the nearest to -0.1 in l, 0.5, f? f Let u = 227 - 224. Which is the closest to -5? (a) u (b) -0.5 (c) 0
{ "pile_set_name": "DM Mathematics" }
se Which is smaller: -1 or 13/8559? -1 Which is smaller: 50355 or 50354? 50354 Is -68 at most 42? True Which is smaller: 1233/1673 or 1? 1233/1673 Which is greater: 18001/7 or 2573? 2573 Are 373 and -223/7 unequal? True Which is bigger: -3252 or -3259? -3252 Is -713/109 <= -6? True Is 7 smaller than 103347? True Which is greater: 13068 or 13113? 13113 Is -2/3 smaller than -669681? False Is 0 < -4/54445? False Is 773/341 less than or equal to 3? True Is -21/7192 at most 0? True Is -1 at least 265/19122? False Which is bigger: -33/1345 or 1? 1 Which is bigger: -55276 or -55326? -55276 Is -409689 smaller than -409689? False Which is greater: -229686 or -3/4? -3/4 Is 1 bigger than 2/4991? True Which is bigger: -5688 or -5690? -5688 Does 0 = 4/3425? False Which is smaller: 272/25809 or -1? -1 Is 3051/44 not equal to 68? True Are 1832 and 975 unequal? True Which is smaller: 13780/7 or 1969? 13780/7 Which is smaller: 9984 or -3/5? -3/5 Which is greater: 1 or 0.326863? 1 Which is smaller: -1 or 6/1128383? -1 Which is bigger: 62/1511 or -1? 62/1511 Which is bigger: -1 or 2/1719811? 2/1719811 Which is smaller: 467 or 471? 467 Is -3/65435 > -1? True Which is bigger: 1 or -1/668044? 1 Which is smaller: -300/49 or -6? -300/49 Is -20457 <= -20461? False Which is smaller: 34/715 or 67? 34/715 Is 2/13 at most -1861? False Is -905 < -920? False Is 1 != -3/1850287? True Is 375688 > 375690? False Is 25078 equal to 25078? True Which is greater: -43 or -169? -43 Is 3/1365718 at most -1? False Is -7080 greater than or equal to -162830/23? False Does 2894 = 2845? False Are -1064 and -1648 nonequal? True Is -9241 less than 0.3? True Which is smaller: 66785 or 66775? 66775 Are -1244486/3 and -414828 equal? False Is -8968 bigger than -8969? True Is 65 bigger than -6724? True Which is greater: -269.9 or 7/5? 7/5 Is 1 >= 329/327? False Which is smaller: 48/6131 or 0? 0 Is -3160/37 smaller than 2? True Is 90 at most as big as -6135? False Which is smaller: 1446/1127 or 0? 0 Is 6679 > 6704? False Are 3/20 and 243820 equal? False Are 8 and 6727 unequal? True Which is smaller: 206/653 or -1? -1 Is 16/723811 less than -1? False Which is bigger: 0 or 74/5319? 74/5319 Is 38321 at most 38323? True Is 1 less than -1312/2711? False Which is smaller: -267 or -7770/29? -7770/29 Is 1 smaller than 2/863241? False Is -74 at least -17756/239? True Is 195 < 1722? True Which is smaller: 74 or 65045? 74 Which is greater: 0 or 378? 378 Which is smaller: 31 or 4012/127? 31 Is -270/11 at least as big as -24? False Is 1 < 257/4433? False Is 533196 greater than or equal to 533196? True Which is smaller: -4722 or -4723? -4723 Is 5260/3 >= -0.2? True Is 534/7441 not equal to -1? True Is -16 less than -2359/135? False Is -944/1337 >= -2? True Is -109/188 smaller than -1? False Which is smaller: 446 or 157? 157 Which is smaller: -2060096 or -2060095? -2060096 Is 428386 at most 0? False Which is smaller: 0.4 or -755/7? -755/7 Which is smaller: -17400 or 5? -17400 Which is smaller: 14346 or 14349? 14346 Is -19289 > -19286? False Which is bigger: -1 or 101/450? 101/450 Is -1 less than or equal to 11897? True Is 3/112022 greater than 0? True Is 220499 at least 220500? False Is 92325 greater than or equal to 92326? False Is -1590760 <= -1590760? True Which is smaller: 318706 or 318707? 318706 Is 10320 equal to 10324? False Is 182/43 at most -5/3? False Which is smaller: -52 or 11288? -52 Is 21245 equal to 21241? False Is 7372096 >= -1/2? True Which is bigger: -1/10 or -499? -1/10 Is -11472 greater than -11539? True Which is greater: 1069863/7 or 152838? 152838 Is 170 != 3761/22? True Which is bigger: -3558 or -3636? -3558 Is 0.1519 bigger than -0.26? True Which is bigger: 17 or -2210? 17 Is 1/37104 smaller than 1? True Which is bigger: 45/21928 or 0? 45/21928 Is -25.2695 less than -2? True Is -449/721 greater than 0? False Which is bigger: -5/16738 or 0? 0 Which is greater: -2996 or -2992? -2992 Which is smaller: -0.71 or -5/4918? -0.71 Is 512/40101 greater than 1? False Do 22510 and 22507 have the same value? False Which is greater: 285 or -23/7? 285 Is -1565 greater than -1990? True Which is smaller: 181/3480 or 0? 0 Is 3/2 at most as big as -2714? False Is -1 at most as big as 3/138509? True Is 113200/17 <= 6659? True Which is smaller: 120/53 or -2207? -2207 Which is smaller: 0 or -33/635983? -33/635983 Is 0 at least -4/359935? True Which is bigger: -6081646 or 0? 0 Is -0.7 >= -4345? True Are 59516 and 357089/6 nonequal? True Is -148025/4 less than -37007? False Which is bigger: 36402 or 36404? 36404 Is -43 < -16476/383? False Which is smaller: 1566 or 62/9? 62/9 Which is smaller: 0.011 or 13/3611? 13/3611 Which is bigger: 1589 or 9527/6? 1589 Is -226 less than or equal to 382? True Are 0 and 3/1304126 unequal? True Is -4 smaller than -480? False Which is smaller: -20546/23 or -894? -894 Are 316186 and 316186 unequal? False Is 7551 at least 7547? True Is -4/22287 at least as big as 0? False Is -57/65083 <= 1? True Is 1120 != 19? True Which is greater: 11343/40 or 283? 11343/40 Is -4/66609 at most 1? True Which is greater: -386 or -25146/65? -386 Is 11630 > 11646? False Is 0.14182 bigger than 1.1? False Are 2/655091 and -1 equal? False Which is bigger: -1 or -8/35? -8/35 Is -21404 at most -21403? True Which is smaller: 3589 or 10769/3? 3589 Is 2/201 greater than or equal to 709? False Is 0.65 < 1814? True Is 22972 smaller than 22970? False Is 113666 bigger than 113666? False Which is smaller: -4 or -137614? -137614 Is 1497868 >= 1497868? True Which is smaller: -6219 or -6212? -6219 Which is greater: 5/21 or 0.008? 5/21 Is -116542 not equal to -116541? True Is -89298 at least -89298? True Which is greater: 75 or -277? 75 Which is smaller: 45541 or 45542? 45541 Is -45 > 21706? False Which is smaller: 166808 or -0.1? -0.1 Is 100567/2 less than 50283? False Is -0.03 at most as big as -1/25777? True Is 11.6 at most -2216? False Are 331 and 6265/19 nonequal? True Are -27527 and -275273/10 nonequal? True Is -1808438 <= -1808438? True Which is bigger: -0.20254 or -143? -0.20254 Are 2/397363 and 0 unequal? True Is 17 smaller than 2168/131? False Is -353 >= 40? False Is -70 at least as big as 45? False Is -11 equal to -5095? False Is -2342 at least as big as -2342? True Is 6386 at most as big as 6373? False Which is smaller: -151/1718 or 1? -151/1718 Which is smaller: 202 or 28535/141? 202 Is 13 <= -60026? False Which is greater: 79/1112 or 1? 1 Is -153845 less than -153845? False Which is bigger: 9 or -7/34? 9 Is -28801 at least -316804/11? False Is 44/10675 less than or equal to 1/2? True Which is smaller: -6.58219 or 1/3? -6.58219 Is 2 at least as big as 0.47168? True Which is smaller: 713 or 17802/25? 17802/25 Is -2 <= -1615/2592? True Which is greater: -31 or -22274/689? -31 Which is bigger: -87280 or -87290? -87280 Is -2/5 equal to 105988? False Which is greater: 3/112 or 17/62? 17/62 Which is smaller: 255623/5 or 51124? 51124 Is -8/2443057 at most as big as -1? False Which is bigger: 0 or -1/456151? 0 Is 812 bigger than 779? True Is -2691 at most -38? True Is -84239 equal to -84238? False Is -51/4 at least 1319? False Which is greater: -879828 or -879827? -879827 Which is bigger: 1626 or 1709? 1709 Are 37236 and 37235 unequal? True Are -120734 and -120734 unequal? False Does 9410/7 = -0.1? False Which is greater: 2/637717 or 1? 1 Are -55 and -13545 unequal? True Is 756 bigger than 78771/104? False Is -15.3 at most -2185? False Is -1 at least 8/257513? False Which is greater: 54851 or 54872? 54872 Which is bigger: -1 or -54/70427? -54/70427 Is 1770/2177 bigger than 2? False Is -1 >= -4/210679? False Are -0.06 and -11918/7 equal? False Is 24271 greater than 24279? False Which is greater: -4298 or -90260/21? -4298 Is 141542 > 141545? False Which is bigger: 175568 or 175564? 175568 Is 1 less than -298/2879? False Which is bigger: -68 or 4813? 4813 Is 55934 less than or equal to 1/27? False Which is smaller: -2313899 or -2313898? -2313899 Which is bigger: -181 or -16737/92? -181 Is -4.7 less than 862.1? True Which is smaller: 0.07 or -4105? -4105 Are 5.8 and 826 non-equal? True Is 4 less than 6156? True Which is smaller: 10662 or 191891/18? 191891/18 Which is smaller: -18937 or 2? -18937 Which is greater
{ "pile_set_name": "DM Mathematics" }
+ 21*q - 6*q**2). -36*q**3 Expand (3*h + 8*h + 22*h)*(-614*h**2 + 1 + 610*h**2 + 0). -132*h**3 + 33*h Expand (-45*w**3 - 13*w**3 - 27*w**3)*(3 - 4 + 1 - 6*w) + (3*w**3 + 2*w**3 - 3*w**3)*(-1 + 1 - 5*w) + 1 - 1 + w**4. 501*w**4 Expand (282 + 4942*b - 131 - 151)*(b**3 - 3*b**3 + 0*b**3). -9884*b**4 Expand 6*f + 2*f + 0*f + (1 + 2 - 2)*(-5*f + 6*f + 0*f) + 3*f + f - 2*f + f + 3*f + 0*f + (0 + 1 + 1)*(-4*f - 2*f + 5*f). 13*f Expand (1 + j - 12726*j**2 + 12985*j**2 + j)*(-8*j**3 + 6*j**2 - 6*j**2). -2072*j**5 - 16*j**4 - 8*j**3 Expand (170*y**4 + 360*y**4 - 55*y**4)*(3 - 3 - 2)*(1 - y - 1)*(1 - 3 + 0). -1900*y**5 Expand -3*q**3 - 4*q**4 + 3*q**3 + (-12*q**3 + 0*q**3 + 3*q**3)*(6 - 6 - 4*q) - 2*q + 0*q - 2*q + q**4. 33*q**4 - 4*q Expand (-9*w**3 + 5*w**3 + 0*w**3)*(1 - 1 - w)*(1 + w - 1) + 56*w**5 - 31*w**5 - 8*w**4 + 21*w**5. 50*w**5 - 8*w**4 Expand (8 - 29 + 13)*(-4 + 2*l + 4 + 0*l + 2*l + l + (-1 + 5 - 2)*(1 - 1 - 2*l)) - 1 - 2*l + 1. -10*l Expand (3 + 0 - 2)*(0 + 2 - 1)*(499 + 320*k**3 - 499) + 3 - 2*k**3 - 3. 318*k**3 Expand (1 - 2 - 3)*(-p**5 + 2*p**5 - 4*p**5) + (-28*p**3 - 5*p**3 + 8*p**3)*(-3 + 0 - 2*p**2 + p**2). 37*p**5 + 75*p**3 Expand (5 - 4 - 4)*(2 - 13 - 2)*(-8 + 13 + 0)*(0 + 3 - 1)*(3 - 2*z - 3) - z + 0*z + 2*z. -779*z Expand (16*g**3 + 9*g**3 - 4269*g + 2*g**3 + 4286*g - 5*g**2)*(-g**2 + 2*g**2 + g**2). 54*g**5 - 10*g**4 + 34*g**3 Expand (n**2 + 108 - 1686 + 389)*(-2*n + 3*n + n)*(-5*n + 3*n + n). -2*n**4 + 2378*n**2 Expand 3*u**5 + u**5 - 38*u**2 - 8*u**5 + (2*u + 2*u - 3*u)*(-2*u**4 + 0*u**4 - 2*u**4). -8*u**5 - 38*u**2 Expand -5*q**2 + 2*q**2 - 18*q**2 + (0 - q**2 + 0)*(48 + 9 - 132). 54*q**2 Expand (-1 - 5 + 4 + (0 + 2 - 4)*(3 - 2 - 3) + 2 + 0 + 0 + 1 - 2 - 2)*(-3*d**4 + 0*d + 0*d + (-6*d**3 + 21*d**2 - 21*d**2)*(4*d - 6*d + 0*d))*(4 + 2 - 5). 9*d**4 Expand 12*l**3 + 285*l**3 + 157*l**3 + (-l**3 + 5*l**3 - 3*l**3)*(-3 - 1 - 1). 449*l**3 Expand (-332*g + 261*g - 2 + 0 + (-1 - g + 1)*(2 - 1 + 0))*((1 - 2 - 1)*(-4*g + 0*g + 2*g) + g - g + g + 1 - 1 - 2*g - 4*g - 3*g + 5*g). -72*g**2 - 2*g Expand (4 - 1 - 2)*(-5*c + 2*c + c)*(-5 + 1 + 3)*(0 + 4*c + 0)*(3 + 2 - 4)*(-12 - 7 - 199). -1744*c**2 Expand (5*c**2 - 31*c**2 - 8*c**2)*(9 - 3981*c + 7*c**2 + 3981*c). -238*c**4 - 306*c**2 Expand (-681 + 67*q + 681)*(-7*q**4 + 8*q**4 - 32*q**4). -2077*q**5 Expand (3*n - 2*n + 0*n + (5*n - 4*n - 2*n)*(-4 - 2 + 4))*((3*n - 4*n + 2*n)*(2 + 2 - 2) - 24*n + 24*n - 32*n). -90*n**2 Expand (12 + 22 + 16)*(4 - 4 - 2*z)*(0 + 2*z**2 + 0) + (1 + 0 - 3)*(-5*z**3 + 4*z**3 + 2*z**3). -202*z**3 Expand (-2*r + 2 - 2)*(-22*r + 4*r - 8*r)*(30*r**3 - 814*r**2 + 814*r**2). 1560*r**5 Expand (-2*x**3 + 5*x**2 - 5*x**2 + (1 + 1 - 4)*(3 + x**3 - 3))*((1 - 4 + 2)*(0 + 0 - 5*x) + (4*x - 3*x + x)*(1 + 5 + 4)). -100*x**4 Expand 37*o**2 - 638*o + 638*o + 2*o - 2*o - o**2 + (-1 - 1 + 1)*(o**2 - 3 + 3) - 2 - o**2 + 2 - 2 + 2 - o**2 - 2*o + 2*o + o**2. 34*o**2 Expand (16 - 7 + 17)*(-15*i + 7*i - 41*i). -1274*i Expand (-12*m - 5*m + m)*(-m + 0*m - m) + (-1 + 1 - m + 2 + m - 2 + (-4 + 0 + 5)*(-1 - 2*m + 1))*(-4*m + 0*m - 11*m). 62*m**2 Expand 153*z**4 + 6*z**2 - 302*z**4 + 157*z**4 + (-4 + 4 - z)*(z**3 - z + z). 7*z**4 + 6*z**2 Expand (0*w**2 + 0*w**2 + 2*w**2)*(3 - 1 - 4) + (-5*w - 4*w + 2*w + (2 + 1 - 5)*(-w - 3*w + 2*w) - w - 2*w + w - w + 5*w - w)*(10 - 6*w + 8*w - w). -6*w**2 - 20*w Expand 3912*b**2 - 3912*b**2 - 7*b**4 + 161 + (0*b + 0*b + 2*b)*(0*b**2 + 0*b**2 + b**3) + 77 + 4*b**2 - 2*b**4 - 77 + b**3 - b**4 - b**3. -8*b**4 + 4*b**2 + 161 Expand (0 + 1 - 3)*(10 + 2 + 3)*(-4*h + 0*h + 0*h)*(3 - 1 + 33). 4200*h Expand (9 + 15 - 17 - 1 + 4 - 1 + (-3 + 4 - 3)*(4 + 1 - 6) + 0 - 4 + 3 + 12 + 27 + 8)*(x**3 - x**3 - x**4). -57*x**4 Expand (-x + 3*x - 3*x)*(46*x - 7*x - 224*x)*(-3 - 1 + 1) - x**2 + 3*x**2 - x**2. -554*x**2 Expand (3*r + 2*r - 4*r)*(0*r**3 + r**3 + r**3) - 288*r**4 - 315*r**4 - 571*r**4. -1172*r**4 Expand (-44945 + 44945 - 68*f)*(8 + 7*f**2 - 8)*(1 + 2*f**2 - 1). -952*f**5 Expand (1 - 1 + 4*z**2)*(-34945*z - 10101*z - 6973*z - 30480*z - 239*z + 17382*z). -261424*z**3 Expand (3*l**2 - 5*l**2 + l**2)*(1 - 3 + 3)*(-l**2 + 4*l**2 - 4*l**2) - 184 + 184 + 102*l**4 + (3*l**3 - 5*l**3 + 3*l**3)*(-4 + 4 + 2*l). 105*l**4 Expand (1551 + 1052 - 4877)*(3 - 3 + 2)*((5*r - 2*r**2 - 5*r)*(-1 + 1 + 1) + r**2 - 3*r**2 + 3*r**2). 4548*r**2 Expand (-94 - 14*c + 94)*(2*c**2 - 2*c**2 - c**4 + (-10*c**3 + 5*c - 5*c)*(6*c - 3*c + 0*c)). 434*c**5 Expand 4*f**2 + 3*f**2 - 5*f**2 + (-3*f - 4*f + 2*f)*(3*f - 2*f - 2*f) - 22*f**2 - 221*f**2 - 116*f**2. -352*f**2 Expand (5*d + 0*d - 4*d)*(2*d**4 - 4*d**4 + 4*d**4) + d**4 - d**4 - 2*d**5 - 2*d**2 + 1 + (-d**4 - 65*d**4 - 57*d**4)*(5*d - d - 3*d). -123*d**5 - 2*d**2 + 1 Expand (0*o + 0*o + o**2)*(26 + 5*o**3 - 26 + (2*o**2 + o**2 - o**2)*(-10*o - 4*o - 4*o)). -31*o**5 Expand (-8*l**4 - 3*l**4 + l**4)*(-3 + 4*l + 3 + (2*l - 6*l + 2*l)*(-6 + 1 + 4) - 103*l + 198*l - 108*l). 70*l**5 Expand x**3 - 3*x**2 + 8*x**2 + x**3 + 6*x**3 - 3*x**3 - 4*x**3 + (3*x**2 - x**2 + 2*x**2)*(-3 - x + 3) + 1 - 1 - 2*x**3 + x**3 - 4*x**3 + 2*x**3. -6*x**3 + 5*x**2 Expand 8*f - 52*f + 4*f + (-f + 0 - 3 + 2)*(86 - 163 + 84). -47*f - 7 Expand (-3 - 3 + 0)*(4*l - l + l + (-6*l - l + 2*l)*(-6 + 0 + 2) + 0*l + 2*l - 6*l). -120*l Expand (-8 - 5 + 5*f + 14 + (-f + 2*f - 3*f)*(-1 + 3 + 0) - 2*f - 4*f - 2*f)*(-5 - 15*f + 6 - 2) + 0*f**2 + 2*f**2 + 0*f**2. 107*f**2 - 8*f - 1 Expand (-3377*m - 40*m**2 + 3377*m)*(9*m - 9*m - 3*m**2) - 2 + 2 + m**4. 121*m**4 Expand (3*o - o + 0*o)*(-2 + 1 - 1) + 4*o + 10*o - 21*o - 62*o - 9*o + 33*o. -49*o Expand (-4*g**3 + 2*g**3 + 3*g**3)*(-13487 - 20994 - 14264 + 1088 - 7862 + 928). -54591*g**3 Expand (-i + 11190*i**3 + 11177*i**3 - 22843*i**3)*(1 + 0 + 1). -952*i**3 - 2*i Expand 0 + 0 + u + (-1 - 1 + 4)*(0*u - 2*u + 3*u) + (30 - 4 + 4)*(-82*u + 3510 - 3510). -2457*u Expand (35 - 6 + 97534114*w - 97534145*w)*(0 - 4 + 2)*(0 - 2 + 1). -62*w + 58 Expand (-1 + 1 + 7*h - 4*h)*(-542*h + 262*h + 301*h). 63*h**2 Expand 3*k**4 + 2*k**4 - 6*k**4 + (-6916 - 4597*k**2 + 6916)*(k - k + k**2). -4598*k**4 Expand 8*w**3 + 5*w - 2*w - 3*w + w**3 + w**3 - w**3 + (-6*w - 10*w - 9*w)*(5 - w**2 - 5). 34*w**3 Expand (4*j**2 + 0*j**2 + 9*j**2)*(0 + 0 - 4*j) + 645*j - 645*j + 53*j**3. j**3 Expand -2*h**2 + 3*h**2 - 2*h**2 + (-h + 4*h - h)*(0*h - 5*h + 3*h) - 3*h + 393*h**2 - 102 - 9*h**2 - 386*h**2. -7*h**2 - 3*h - 102 Expand 202*p - 408*p + 70 + 200*p + (11*p + 0*p + 3*p)*(-1 + 0 + 0). -20*p + 70 Expand 0 - 5*z + 128 - 57 + 7*z - z - z + (-4 + 0 + 2)*(z + 1 - 1). -2*z + 71 Expand 5*a**2 + 4 - 4 + 3 - 85*a**2 + 47*a**2 + 55*a**2 + (-a + a + a)*(3 - a - 3). 21*a**2 + 3 Expand (2 + 1 - 1 + (3 + 0 - 2)*(0 - 2 + 4) - 1 + 28 - 3)*(0 + 4 - 5)*(-3 + 3 + 2)*(-8*h - 11*h + 11*h). 448*h Expand (l - 4*l + 5*l)*(-901 - 10458*l - 884 + 1785). -20916*l**2 Expand (187 - 187 - 256*y)*(-6 + 15 - 26). 4352*y Expand ((0 - 1 - 4)*(-2*w - w + w) - w - 2 + 2 + 2*w + 1 - 1)*(1096 + 920*w + 914*w - 1835*w). -11*w**2 + 12056*w Expand (-20*s**2 - 27*s**2 + 53*s**2)*(13 - 13 + 3*s**3) + 169*s**5 + s**3 - s**3 + 89*s**5 - 36*s**5. 240*s**5 Expand (2 + 10 - 29)*(d + 24*d + 0*d)*(4*d**2 - 5*d**2 + 3*d**2 - 1). -850*d**3 + 425*d Expand (2*j + 3*j - 6*j)*(7034 - 14058 - 25*j + 7029). 25*j**2 - 5*j Expand ((0 - 2*l + 0)*(2 - 5 + 1) + 0*l - 4*l + 2*l)*(-609 - 644 + 3078*l + 1253). 6156*l**2 Expand (27 - 53 + 28)*(6 - 3 - 14*j + 32*j). 36*j + 6 Expand (-2*s + 0*s + s)*(0*s**2 + 0*s**2 - 2*s**3) + 8659*s + 171*s**4 - 8659*s + 3*s**2 + (-4*s**3 + 2*s**3 + 4*s**3)*(-2*s - 1 + 1) - s**4 - 5 + 5. 168*s**4 + 3*s**2 Expand 3*g**5 + g**5 + g**5 + (-19*g - 487*g**2 + 19*g)*(0 + g**3 + 0). -482*g**5 Expand (14 - 9 + 9)*(0*o**2 - o**2 + 2*o**2 + (-4 + 2 + 3)*(98 + 227 - 140)*(-2 - 1 + 4)*(3*o**2 - o**2 - o**2)). 2604*o**2 Expand (2 + 2 - 2)*(-4057*w - 494*w + 1138*w). -6826*w Expand (2*m**2 - m**2 + m**2)*(7*m**2 + 7*m**2 + 4*m**2)*((-4 + 3 + 0)*(-17 - 4 + 1) - 2 - 3 + 3 + (2 - 4 + 0)*(2 - 1 + 0)). 576*m**4 Expand (-3 - 22*r + 4 + 20*r)*(-313 + 51*r + 313)*(-4*r**2 + 2*r**2 + 3*r**2 + (2 - 2 - 2*r)*(2*r - 2*r - 2*r) + 14 - r**2 - 14). -408*r**4 + 204*r**3 Expand (-2*u - 4*u + 5*u)*(160 - 10 + 4)*(-88*u - 95*u + 2*u**2 + 165*u). -308*u**3 + 2772*u**2 Expand 53*x**2 - x + 58*x**2 - 119*x**2 + (5 - x - 5)*(-x - x
{ "pile_set_name": "DM Mathematics" }
((sqrt(30)/(-2*sqrt(10)))**2 - sqrt(48)*-6). 11/4 + 24*sqrt(3) Simplify (1 + sqrt(117) + -3)**2. -12*sqrt(13) + 121 Simplify (5*(sqrt(2299) + -1 + 5 + -5))**2. -550*sqrt(19) + 57500 Simplify (sqrt(77)*2)/sqrt(7) + -1. -1 + 2*sqrt(11) Simplify (-5 + sqrt(7) + 2 - sqrt(7))*-3. 9 Simplify (-4*4*(sqrt(2)*-2*-4 - (-1 + sqrt(2) + 0 - sqrt(2))))**2. 4096*sqrt(2) + 33024 Simplify (sqrt(19) - (sqrt(1539) + 1 + sqrt(1539) + sqrt(1539))) + sqrt(209)/(sqrt(55)/sqrt(5)). -25*sqrt(19) - 1 Simplify (sqrt(1100) + sqrt(1100) + -2 + 4 - sqrt(1100)) + -2. 10*sqrt(11) Simplify (sqrt(6) + (sqrt(6) - sqrt(294) - sqrt(6)) - sqrt(6))/sqrt(2) + 3 + -4. -7*sqrt(3) - 1 Simplify sqrt(24)/(sqrt(3) + sqrt(9)/sqrt(3)). sqrt(2) Simplify ((1 + sqrt(252))*3)**2 + 1. 108*sqrt(7) + 2278 Simplify 6*-4*sqrt(7) + (-2*sqrt(28))**2. -24*sqrt(7) + 112 Simplify 0 + (sqrt(35)/sqrt(5)*-4 - sqrt(567)*-1). 5*sqrt(7) Simplify (-5*(sqrt(35)/(sqrt(80) + sqrt(5)) - sqrt(7)))**2 - (2*sqrt(343) + -4). -14*sqrt(7) + 116 Simplify (-1 + sqrt(1872) + -4)**2. -120*sqrt(13) + 1897 Simplify (sqrt(125) + 3 + sqrt(320)*2)**2 + 1. 126*sqrt(5) + 2215 Simplify -2*sqrt(175)*2. -20*sqrt(7) Simplify (-1*sqrt(242)*6 + 2*sqrt(242) + -5 + 1)**2. 352*sqrt(2) + 3888 Simplify 3*(sqrt(18) + sqrt(36)/sqrt(2))/sqrt(6). 6*sqrt(3) Simplify (sqrt(1053) + (sqrt(1053) + 0)*4)**2. 26325 Simplify (sqrt(700)*2 + 2)*-4. -80*sqrt(7) - 8 Simplify 1*(sqrt(2057) + 1) + -2. -1 + 11*sqrt(17) Simplify ((sqrt(132) + -5*1*sqrt(132))/(sqrt(60)/(sqrt(5)*2 - sqrt(5) - sqrt(5) - sqrt(5))))**2. 176 Simplify -5*((sqrt(76) + 2)*1)**2. -400 - 40*sqrt(19) Simplify (3*sqrt(52)/sqrt(2))/sqrt(2). 3*sqrt(13) Simplify (6*(sqrt(55)/sqrt(11) + -3))**2. -216*sqrt(5) + 504 Simplify (sqrt(2401)*-2)/(sqrt(21)/sqrt(3)*6). -7*sqrt(7)/3 Simplify ((sqrt(343) + 3 + -1)*-2)**2. 112*sqrt(7) + 1388 Simplify -1*(sqrt(320)/sqrt(10))**2. -32 Simplify 2 + (sqrt(19) - -2*sqrt(19))**2 + -4 + sqrt(19) + 3. sqrt(19) + 172 Simplify ((-3*(sqrt(325) + 0) - sqrt(325))*-6)**2. 187200 Simplify (sqrt(170) + (sqrt(170) + sqrt(170)*1)*5 + sqrt(170))/(sqrt(250)*-5). -12*sqrt(17)/25 Simplify ((1 + sqrt(2736) - sqrt(2736))*-1 - -1*sqrt(2736)*2)**2. -48*sqrt(19) + 10945 Simplify 1*((0 + (sqrt(11) - sqrt(99)))**2 - (1 + sqrt(44))**2). -4*sqrt(11) - 1 Simplify (sqrt(11) - (sqrt(33) - sqrt(33)*1)/sqrt(3))**2 - (3 + -2*sqrt(11)). 2*sqrt(11) + 8 Simplify (sqrt(102)*2*-4)/sqrt(6). -8*sqrt(17) Simplify sqrt(117) - -4*sqrt(117) - (-5 + -3*sqrt(13)). 5 + 18*sqrt(13) Simplify (sqrt(5472) + sqrt(5472)*-1 + sqrt(5472))/sqrt(2). 12*sqrt(19) Simplify (sqrt(252) - 1*sqrt(252) - -5*sqrt(28))**2 + 3. 703 Simplify (sqrt(245) - (sqrt(245) + -3)) + (sqrt(40)/sqrt(8))**2*3. 18 Simplify (sqrt(1125)/sqrt(9))**2 - sqrt(125)*-4. 20*sqrt(5) + 125 Simplify (4*(sqrt(228) + -2*sqrt(228)) + sqrt(228))/(sqrt(108)*2). -sqrt(19)/2 Simplify sqrt(204)/(1*sqrt(12)) + sqrt(153)*-3. -8*sqrt(17) Simplify ((sqrt(100)/(sqrt(25)/sqrt(5)))/sqrt(4))**2. 5 Simplify (-5 + (sqrt(75) + sqrt(75) + 2)**2 + sqrt(75))*3. 135*sqrt(3) + 897 Simplify sqrt(10)/(sqrt(98)*4). sqrt(5)/28 Simplify (sqrt(114) + 3*-2*sqrt(114))/(1*sqrt(864) + sqrt(864)). -5*sqrt(19)/24 Simplify 5 + 1 + sqrt(425). 6 + 5*sqrt(17) Simplify (sqrt(19) - (-3 + sqrt(931) + sqrt(19)))**2 + 2. -42*sqrt(19) + 942 Simplify -5*1*5*(sqrt(10)/sqrt(2))**2. -125 Simplify -5*(-4 + sqrt(7)*-2 + sqrt(343) + 1). -25*sqrt(7) + 15 Simplify sqrt(931) + 2 + 2 + sqrt(1539). 4 + 16*sqrt(19) Simplify -4 + sqrt(19) + 3*sqrt(95)/sqrt(5). -4 + 4*sqrt(19) Simplify 1*-2*sqrt(63)/(3*sqrt(81)). -2*sqrt(7)/9 Simplify (5*1*sqrt(50))/sqrt(10). 5*sqrt(5) Simplify ((0 + -4 + sqrt(425))*-6)**2. -1440*sqrt(17) + 15876 Simplify (-1 + sqrt(176))*2. -2 + 8*sqrt(11) Simplify sqrt(931)*1 + -2. -2 + 7*sqrt(19) Simplify -3*sqrt(252) - sqrt(63). -21*sqrt(7) Simplify sqrt(32) - (0 + sqrt(64)/sqrt(2))**2 - (sqrt(32) - (sqrt(96)/(sqrt(3)*-3))**2). -256/9 Simplify ((-5 + sqrt(11) + sqrt(121)/sqrt(11) + sqrt(11))*6*6)**2. -38880*sqrt(11) + 160704 Simplify 2 + (sqrt(242) + 2)**2 + 0. 44*sqrt(2) + 248 Simplify (-6*(sqrt(288) + -2))**2. -1728*sqrt(2) + 10512 Simplify (sqrt(416)*-5*1)/sqrt(8). -10*sqrt(13) Simplify (-2*(sqrt(425) + sqrt(425)*-2))**2 + sqrt(425) + 2. 5*sqrt(17) + 1702 Simplify 2 + (2*sqrt(20))**2*2*-1. -158 Simplify (sqrt(16) - (sqrt(32) - sqrt(128)/sqrt(4))/sqrt(2))/(sqrt(800) + 2*sqrt(800) - sqrt(800)). sqrt(2)/20 Simplify (6*6*(sqrt(605) - (-4 + 0 + sqrt(605) + sqrt(605) + sqrt(605))))**2. -228096*sqrt(5) + 3157056 Simplify (sqrt(17)*-1*5 - (sqrt(51)/sqrt(3) + -3)) + (sqrt(833) - (sqrt(833) + -1 + sqrt(833)))*5. -41*sqrt(17) + 8 Simplify (3*sqrt(1620))/sqrt(10) + -2. -2 + 27*sqrt(2) Simplify 0 + (sqrt(275)*-2 + -4)**2. 80*sqrt(11) + 1116 Simplify sqrt(18) + 5 + 2. 3*sqrt(2) + 7 Simplify ((-2*sqrt(304) - sqrt(304)) + -2)**2. 48*sqrt(19) + 2740 Simplify sqrt(128)*2*6 + (sqrt(128) + -1 + 3)**2. 132 + 128*sqrt(2) Simplify 1 + sqrt(320) + sqrt(180)*-2. -4*sqrt(5) + 1 Simplify ((sqrt(156) - sqrt(156)*2)*6)/(sqrt(768) - (sqrt(768) + sqrt(768)*2) - sqrt(12)). 6*sqrt(13)/17 Simplify (2*(sqrt(68) + 0) - (2 + sqrt(68) + -3))**2. 4*sqrt(17) + 69 Simplify (5 + -2*sqrt(2) + ((sqrt(50) - sqrt(2)) + sqrt(2) - sqrt(2))*6)**2. 220*sqrt(2) + 993 Simplify (-1*(sqrt(272)*-2 + sqrt(272) + sqrt(17))*6)**2. 5508 Simplify (sqrt(60) + -1*sqrt(4860))/(3*sqrt(24)/sqrt(2)). -8*sqrt(5)/3 Simplify -5*sqrt(44) - ((sqrt(99)*-2 - sqrt(99))/sqrt(9) - sqrt(11) - sqrt(11)). -5*sqrt(11) Simplify 4 + (sqrt(17) + 1 + 0)**2. 2*sqrt(17) + 22 Simplify (sqrt(1694)*2)/sqrt(2) + 1 + 3. 4 + 22*sqrt(7) Simplify -2 + ((sqrt(1088) + -5)*-6)**2. -2880*sqrt(17) + 40066 Simplify -5*(sqrt(684) + 0). -30*sqrt(19) Simplify (sqrt(84) - 1*sqrt(84) - sqrt(84))/sqrt(12) - (sqrt(49)/sqrt(7) + sqrt(7) + sqrt(7))**2*-4. -sqrt(7) + 252 Simplify 0 + sqrt(2448) - -2*sqrt(17)*2. 16*sqrt(17) Simplify 2 + ((sqrt(65)*-3 - sqrt(65))*-2 - sqrt(65))/sqrt(5). 2 + 7*sqrt(13) Simplify (sqrt(13) - (-4 + sqrt(13) + -3)) + (sqrt(13) + 0 + -2)**2. -4*sqrt(13) + 24 Simplify ((sqrt(432) + (sqrt(432) - (0 + sqrt(432))) + 3 + sqrt(432))*-6)**2. 5184*sqrt(3) + 62532 Simplify (sqrt(20) + sqrt(20) + -1)*-4 + 2. -16*sqrt(5) + 6 Simplify ((-2 + -4 + -2*sqrt(68))*6)**2. 1728*sqrt(17) + 11088 Simplify sqrt(104)/(-3*(-1*sqrt(8) - sqrt(8))). sqrt(13)/6 Simplify sqrt(125) + 3 - (4 + sqrt(5) + -4). 3 + 4*sqrt(5) Simplify (sqrt(11) - sqrt(176)) + sqrt(11) + 2 + 3 + 1 + sqrt(11) + sqrt(11). 6 Simplify ((sqrt(121)*1 - sqrt(121))*6)/(sqrt(891)*4). 0 Simplify -1 + sqrt(132)/(sqrt(12) + sqrt(84)/sqrt(7)*5). -1 + sqrt(11)/6 Simplify (sqrt(12)/sqrt(2))/sqrt(2) + (0 + sqrt(3) + 0)**2. sqrt(3) + 3 Simplify 1*((sqrt(56)/sqrt(2))/sqrt(2))/(-3*(sqrt(2) - (sqrt(8)/sqrt(4) - sqrt(2)))). -sqrt(7)/3 Simplify -6*(sqrt(18) - sqrt(648)*-1)/(sqrt(6) + -1*sqrt(486) - sqrt(6)). 14*sqrt(3)/3 Simplify ((sqrt(3) + 4)*6*2)**2. 1152*sqrt(3) + 2736 Simplify -2 + sqrt(7) + 0 + sqrt(84)/(1*sqrt(12)) + -2. -4 + 2*sqrt(7) Simplify (-2*sqrt(121)*-2 + sqrt(121))/sqrt(11)*5. 25*sqrt(11) Simplify sqrt(162) + (4*(sqrt(162) + 0 - sqrt(162)))**2. 9*sqrt(2) Simplify ((sqrt(13) - (sqrt(1573) + sqrt(1573) + 2 + sqrt(1573))) + 1 + -4)**2. 320*sqrt(13) + 13337 Simplify 0 + (sqrt(3)*2 + -3)**2. -12*sqrt(3) + 21 Simplify (-2*sqrt(6912)*-3)**2. 248832 Simplify sqrt(40)/((1*sqrt(48))/sqrt(6))*-2. -2*sqrt(5) Simplify -5 + sqrt(567) + (sqrt(567) - (-4 + (sqrt(567) - (sqrt(567) - (sqrt(567) + 1))))). -2 + 9*sqrt(7) Simplify ((sqrt(243) + (sqrt(243) - (-1 + sqrt(243) + sqrt(243)))*-6)*-2)**2. -3024*sqrt(3) + 47772 Simplify -1*(5 + sqrt(6)/sqrt(2))**2. -28 - 10*sqrt(3) Simplify (-2*sqrt(19) + 1)**2 - sqrt(684)*1 - (4*sqrt(95)/(sqrt(15)/sqrt(3) + sqrt(5)))**2. -10*sqrt(19) + 1 Simplify ((2*sqrt(126))/sqrt(2) + sqrt(63))/((sqrt(243) - sqrt(27))/sqrt(3)). 3*sqrt(7)/2 Simplify 0 + sqrt(180) - sqrt(5) - (sqrt(120)/sqrt(4))/sqrt(6). 4*sqrt(5) Simplify -6*sqrt(21)/sqrt(3)*-1. 6*sqrt(7) Simplify -3 + (sqrt(1300) + -1 - sqrt(1300))**2. -2 Simplify (sqrt(10)/sqrt(5))**2*-3 - ((-2*sqrt(2))**2 + -5). -9 Simplify -3 + (-1*-1*sqrt(64)/sqrt(2))**2. 29 Simplify 4*5*(0 + 3 + sqrt(2)). 20*sqrt(2) + 60 Simplify (sqrt(700)*-2 + 5 - sqrt(700)) + (sqrt(700)*-2 + sqrt(700))**2*-2. -1395 - 30*sqrt(7) Simplify ((sqrt(2) - sqrt(18)) + -4 - sqrt(2))**2 - (0 + sqrt(24
{ "pile_set_name": "DM Mathematics" }
t replacement from njednzeddzeddyd? 6/455 What is prob of picking 2 t and 1 p when three letters picked without replacement from {p: 1, t: 3, v: 1}? 3/10 What is prob of picking 2 s when two letters picked without replacement from {a: 3, n: 4, s: 6}? 5/26 Three letters picked without replacement from {x: 7, f: 5}. Give prob of picking 3 x. 7/44 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, s: 1}. 1/3 Three letters picked without replacement from {f: 12, s: 6}. What is prob of picking 2 f and 1 s? 33/68 Two letters picked without replacement from {g: 3, m: 1}. Give prob of picking 1 m and 1 g. 1/2 What is prob of picking 1 d and 1 p when two letters picked without replacement from {p: 4, t: 2, d: 10}? 1/3 Two letters picked without replacement from vzzvevzv. Give prob of picking 2 z. 3/28 Calculate prob of picking 2 f and 1 p when three letters picked without replacement from fzzifzpzwpzwzzffzf. 5/204 Three letters picked without replacement from {f: 2, t: 1, e: 1}. What is prob of picking 2 f and 1 e? 1/4 Calculate prob of picking 1 j, 2 f, and 1 t when four letters picked without replacement from tjftjjjjf. 5/63 Three letters picked without replacement from etbteeoboobotbtobob. What is prob of picking 3 t? 4/969 Calculate prob of picking 1 s, 1 a, and 1 g when three letters picked without replacement from nuuagugasvaaaauan. 7/340 Three letters picked without replacement from pkmfkffvkkffkvf. What is prob of picking 2 k and 1 p? 2/91 Three letters picked without replacement from emhhhrqemhhhrmm. What is prob of picking 1 m, 1 q, and 1 e? 8/455 Three letters picked without replacement from {x: 3, u: 3, z: 5, m: 3, s: 2}. What is prob of picking 1 z and 2 m? 3/112 What is prob of picking 1 r and 3 s when four letters picked without replacement from {g: 8, h: 2, s: 4, r: 1, w: 1}? 1/455 What is prob of picking 1 q, 1 m, and 1 w when three letters picked without replacement from {e: 6, w: 1, m: 2, q: 2}? 4/165 What is prob of picking 1 v, 1 y, 1 a, and 1 x when four letters picked without replacement from {v: 1, a: 1, x: 4, u: 1, y: 5}? 4/99 What is prob of picking 2 q when two letters picked without replacement from qqqtqqqt? 15/28 Three letters picked without replacement from {m: 1, x: 1, h: 1, s: 3, p: 1}. What is prob of picking 1 h, 1 s, and 1 x? 3/35 What is prob of picking 1 x and 3 c when four letters picked without replacement from {x: 6, c: 4, b: 2}? 8/165 Two letters picked without replacement from tatt. Give prob of picking 1 a and 1 t. 1/2 Two letters picked without replacement from {h: 4, i: 4, p: 5, s: 3, k: 3}. Give prob of picking 1 h and 1 i. 16/171 What is prob of picking 1 h and 2 r when three letters picked without replacement from rbrqqbrrqhhqhrr? 9/91 Four letters picked without replacement from {c: 2, d: 2, m: 4, w: 1, y: 2, r: 6}. What is prob of picking 2 y and 2 d? 1/2380 What is prob of picking 2 k and 1 e when three letters picked without replacement from {e: 2, k: 6}? 15/28 Two letters picked without replacement from {b: 8, n: 1, e: 4}. What is prob of picking 2 b? 14/39 Two letters picked without replacement from vqqcikvj. Give prob of picking 1 c and 1 k. 1/28 Four letters picked without replacement from vjhvqqq. Give prob of picking 2 q, 1 j, and 1 h. 3/35 Three letters picked without replacement from hhhhhh. Give prob of picking 3 h. 1 What is prob of picking 1 q and 1 m when two letters picked without replacement from qrrwrmrwmuwuqquwqmu? 4/57 Three letters picked without replacement from cxwiyieceiex. Give prob of picking 1 i, 1 y, and 1 x. 3/110 What is prob of picking 3 x when three letters picked without replacement from {q: 5, x: 14}? 364/969 Three letters picked without replacement from ooooouuoooouoo. Give prob of picking 2 u and 1 o. 33/364 What is prob of picking 1 v, 1 m, 1 t, and 1 p when four letters picked without replacement from tvvzmztvvzpptvmtvv? 28/765 Three letters picked without replacement from iiiliilllliliili. Give prob of picking 2 l and 1 i. 27/80 Four letters picked without replacement from yyytyyyxtyytyyytytyy. What is prob of picking 1 t, 2 y, and 1 x? 91/969 Calculate prob of picking 3 q when three letters picked without replacement from {j: 15, q: 3}. 1/816 Two letters picked without replacement from {s: 1, j: 2, c: 1, q: 1, k: 2, y: 2}. What is prob of picking 1 k and 1 q? 1/18 Two letters picked without replacement from lrlfwfmqwmlwlwfmmqff. Give prob of picking 1 f and 1 r. 1/38 What is prob of picking 3 r when three letters picked without replacement from {w: 2, r: 3, p: 1, j: 1, d: 2, m: 3}? 1/220 Three letters picked without replacement from aotyyfanf. What is prob of picking 1 t and 2 y? 1/84 What is prob of picking 2 f, 1 a, and 1 s when four letters picked without replacement from sereaaif? 0 What is prob of picking 1 w and 1 k when two letters picked without replacement from wwkkkmkwweeezwkkmmkk? 4/19 Calculate prob of picking 1 v, 2 o, and 1 y when four letters picked without replacement from {o: 3, y: 3, e: 1, v: 2, c: 1, x: 2}. 2/55 Calculate prob of picking 3 e when three letters picked without replacement from ebvbanbvvaaavnbb. 0 Four letters picked without replacement from {r: 3, b: 4, x: 1, p: 6}. Give prob of picking 3 r and 1 x. 1/1001 Three letters picked without replacement from kkkklkikkkkkkkkili. Give prob of picking 3 k. 143/408 Three letters picked without replacement from xcezggxzzz. What is prob of picking 2 x and 1 g? 1/60 What is prob of picking 1 b, 2 k, and 1 m when four letters picked without replacement from mmpkpbkgx? 1/63 What is prob of picking 1 k and 2 z when three letters picked without replacement from zzzkzkzzkz? 21/40 Calculate prob of picking 2 v and 2 p when four letters picked without replacement from vsnspppwspvvvpp. 6/91 Two letters picked without replacement from ptrprl. What is prob of picking 1 t and 1 l? 1/15 What is prob of picking 2 b and 2 k when four letters picked without replacement from {k: 5, b: 4, x: 7}? 3/91 Four letters picked without replacement from {s: 17, m: 1}. Give prob of picking 1 m and 3 s. 2/9 What is prob of picking 2 z and 1 t when three letters picked without replacement from {t: 5, z: 15}? 35/76 Calculate prob of picking 4 d when four letters picked without replacement from {n: 9, d: 5}. 5/1001 Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {g: 2, c: 1, t: 1, q: 2, l: 1}. 0 Three letters picked without replacement from xqztkkts. What is prob of picking 1 q, 1 k, and 1 t? 1/14 Three letters picked without replacement from {h: 5, d: 7}. What is prob of picking 1 h and 2 d? 21/44 Four letters picked without replacement from {o: 2, i: 5}. Give prob of picking 4 i. 1/7 Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {u: 2, o: 1, a: 4, z: 1}. 1/14 Two letters picked without replacement from hhh. What is prob of picking 2 h? 1 Four letters picked without replacement from {g: 4, k: 1, f: 1, r: 1, x: 1}. What is prob of picking 1 g, 1 r, 1 k, and 1 x? 2/35 What is prob of picking 2 m and 2 q when four letters picked without replacement from mqqmqqqq? 3/14 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from hohnwofhwfnnh. 1/13 Calculate prob of picking 2 n when two letters picked without replacement from {i: 2, n: 2}. 1/6 What is prob of picking 3 j when three letters picked without replacement from yyyyyyyyjygyjyyjy? 1/680 Four letters picked without replacement from kheyefkf. Give prob of picking 2 e, 1 h, and 1 f. 1/35 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {x: 4, d: 2, q: 1}. 2/21 Four letters picked without replacement from {k: 5, c: 2, t: 5}. What is prob of picking 1 t and 3 k? 10/99 Two letters picked without replacement from {k: 1, h: 1, r: 4, p: 2, s: 1}. Give prob of picking 1 k and 1 h. 1/36 Two letters picked without replacement from {a: 2, s: 1}. Give prob of picking 2 a. 1/3 Two letters picked without replacement from {u: 1, b: 6, j: 2, i: 2}. What is prob of picking 1 u and 1 b? 6/55 Calculate prob of picking 2 i, 1 l, and 1 v when four letters picked without replacement from {l: 1, v: 4, k: 2, i:
{ "pile_set_name": "DM Mathematics" }
-22.4. Let o = 2.43 + l. Let f = -0.13 - o. Which is the biggest value? (a) f (b) 1/7 (c) 5 c Let g = -0.332 - 2.668. What is the smallest value in -0.1, g, 0.03, -5? -5 Let h = 297 + -296.6. Suppose v + 0*v + 14 = 5*r, 2*v = -r + 5. Which is the third biggest value? (a) h (b) -0.38 (c) v b Let v = -45 - 9. Let b = -38 - v. Let d = b + -17. What is the smallest value in 2/19, d, 4? d Let r be (-1)/(-2 + 35/15). What is the second smallest value in r, 2, 0.1, 0.3? 0.1 Let h = 162 - 166. What is the smallest value in 3/10, 10, -2/11, h? h Let g = 17 + -5. Let p be -8 + 4 + 32/g. What is the biggest value in 0.05, 0.1, p? 0.1 Let z(p) = 2*p - 6. Let o be z(17). Let i = o - 31. Let u = 0 + -0.1. What is the biggest value in 0.2, u, i? 0.2 Let m = 268 + -179. Let p = m - 977/11. What is the third smallest value in -1, -4, p? p Suppose 3*x + 2*u + 6 = 0, -3*u + 0*u = -4*x - 25. Let r = -242 - -240. Which is the second biggest value? (a) x (b) r (c) 1 b Let p = 0.475 + 0.025. Let b = 0.6 + -0.2. Suppose -5*g - 16 = -1. What is the second biggest value in g, p, b? b Let g = -191/1038 + 3/173. Which is the biggest value? (a) g (b) -3 (c) 2/3 (d) 5 d Let s = 34 + -38. Let h = 19 + -10. Let d = 9 - h. What is the second smallest value in d, s, 2/5? d Let o = -15 + 11. Let r be -38*1/(o/162). Let j be 2/(-9) - (-504)/r. Which is the second smallest value? (a) -5 (b) 1/2 (c) j c Let z = 0.494 + 0.006. What is the third biggest value in 8, z, 5, -0.4? z Let u = -429/4 - -108. Let a = -0.2 + 0.6. What is the second smallest value in u, -0.01, 0.3, a? 0.3 Let o = -14.82 - -8.82. Which is the biggest value? (a) -1/6 (b) -4/5 (c) o a Let d = 89457/41 - 2182. Let t = d - -147/533. Let z be (-12)/10*10/(-9). Which is the third biggest value? (a) 1 (b) t (c) z b Let q = 0.608 - 0.038. What is the second smallest value in 0.1, q, 0.2? 0.2 Suppose 3*g - 9 = -39*m + 37*m, -5*m = -3*g + 9. What is the third biggest value in 2/3, m, -3, -2/5? -2/5 Let u(v) = v**2 + 8*v + 7. Let n be u(-6). Let d = 318 - 317. Which is the smallest value? (a) n (b) d (c) -0.08 a Let j = 0.2 - 0.1. Let x = -107 + 61.2. Let z = -46 - x. Which is the biggest value? (a) j (b) 1 (c) z b Let n = 0.12 - -0.68. Let q = 0.6 - n. Let x be -3*(-1)/(-21) + (-30)/(-14). What is the third smallest value in 1/6, x, q? x Let x = -1.426 - -1.436. Let y = -0.13 + -0.17. Which is the fourth smallest value? (a) x (b) -4 (c) 3 (d) y c Let n = 0.09 + 0.01. Let f(d) = -d**3 - 31*d + 2*d**2 - 24*d + 62*d + 2. Let q be f(4). What is the smallest value in 2, n, q? q Suppose 5 = -5*t - 5*i, 2*i = -13*t + 10*t. What is the second biggest value in -0.03, 0.06, t? 0.06 Suppose -20*i + 22*i - 6 = 0. Let x be 10*4/10 - i. Which is the second biggest value? (a) -0.3 (b) -4 (c) x a Let q = -9.2274 + 0.2274. Which is the second smallest value? (a) -2 (b) q (c) -8 c Suppose 2*d = 4, d = -2*o + 1 + 3. Which is the smallest value? (a) 0 (b) -0.1 (c) o b Let z = -35 + 14. Let n be (-228)/735 - z/(-35). Let c = n + -24/49. What is the second smallest value in c, -4, -0.2? c Let z = -11.7 - 2.8. Let m = z - -14. Which is the third smallest value? (a) 0.01 (b) m (c) 4 c Suppose 4*f = 3*f + 2. Let v = -132 - -133.3. What is the third smallest value in f, v, -3/5? f Let p = -19.73 + 18.73. Let z = 8 + -8.3. Let u = 3.7 - z. Which is the second biggest value? (a) u (b) p (c) 3 c Let a be (1/3)/(1/(-6))*-4. Suppose a*c + 15 = 3*c. Let x = 0 + 0.5. What is the third smallest value in 5, x, c? 5 Let c = -37951.4 - -37951. Let k = 56 + -279/5. Let f(u) = -2*u + 3. Let x be f(2). What is the second smallest value in k, c, x? c Let f = 0.5 - -1.2. Let v = f - 1.8. Which is the third smallest value? (a) v (b) -1 (c) -0.8 a Let v = 5 - 5.6. Let d = -0.4 - v. Let j = -559 + 556. Which is the third smallest value? (a) j (b) -1/2 (c) d c Let j = -22.4 - -22.7. Let y = -0.38 - -0.08. What is the biggest value in j, y, -1? j Let p = -0.383 - -0.313. What is the smallest value in p, 4, 0.01, 2? p Let j = 7.74 - 4.74. What is the fourth smallest value in -4/9, j, 5, -1? 5 Let w = 18.15 - 19.15. Which is the fourth biggest value? (a) 1/21 (b) 0.5 (c) w (d) -4 d Let o = -54.3 + 58. Let v = o - -11.3. Let z = -15 + v. What is the biggest value in -3, z, 5? 5 Let p = -0.372 - -0.272. What is the second biggest value in 0, -1/3, p, 2/31? 0 Let n be -4 + (2140/6)/(-2). Let k = n - -184. What is the second smallest value in 3, -31, k? k Let u = 9 + -10. Let t = -721 - -722. Which is the third biggest value? (a) t (b) u (c) -0.8 b Let s = 0.12 + -0.32. Let w = 1.991 + 0.009. What is the third biggest value in -0.1, w, s? s Let c = 65 + -64.99. Suppose 2*x = 3*t + 2 + 4, 3*x - 5*t - 9 = 0. Let w be x - (-1 - (-42)/10). What is the second smallest value in 3, c, w? c Let k = 1.115 + -0.115. Which is the third biggest value? (a) -1/4 (b) -3 (c) k (d) -1/6 a Let u = -6.919 + 4.919. Suppose -k + 2*k + 4*o = 17, 5*o = -2*k + 19. Which is the third smallest value? (a) -1 (b) u (c) k (d) -3/7 a Let l = -0.157 + 0.457. Which is the third smallest value? (a) l (b) -3 (c) 6 (d) -4 a Let h(g) = g**2 + 17*g - 5. Let p be h(-17). Let x = -0.16 + -0.04. What is the second smallest value in x, -0.4, 0.5, p? -0.4 Suppose -3406 + 3418 = 4*f. What is the smallest value in -24, -2/3, f? -24 Let j = 0.052 - 0.032. Let f = 0.05 - 0.26. Let x = -0.41 - f. Which is the third biggest value? (a) x (b) j (c) -4 c Let q = 34.03 - 25.03. What is the third smallest value in q, -3/5, 0.007? q Suppose 0 = b - 3, -3*f + 3*b - 9 = 15. What is the smallest value in 4, -2/99, f? f Let r(v) = -2*v**2 - 14*v - 16. Let l be r(-6). Which is the second biggest value? (a) l (b) -0.4 (c) 0.15 b Let f = 24 - 23.961. Let l = 4.839 - f. Let r = l + -5. Which is the smallest value? (a) r (b) -4 (c) 0.2 b Let g = -0.381 + 0.581. What is the smallest value in g, 20, 0.14? 0.14 Let u = -19.44 - -19.5. Which is the second biggest value? (a) -3/4 (b) u (c) 2/9 b Let f = 1.4 - 1.9. Let i = 6 + -2. Which is the biggest value? (a) i (b) f (c) -2/3 a Let o = 0.2277 - -0.0723. Which is the smallest value? (a) -1 (b) o (c) 4/9 (d) 1 a Let d be (-10)/3 + (-4)/(-12). Let t = 106 + 14. Let b = -1079/9 + t. What is the second smallest value in b, d, -2/3? -2/3 Suppose 770 = 4*z + 3*z. Let g be z/234 + 3 + (-50)/18. What is the third biggest value in 4, g, -1? -1 Let q(s) = 3*s**3 + 47*s**2 - 15*s + 11. Let w be q(-16). What is the third smallest value in w, 4, 21/8? 4 Let q = -6.1 + 2.1. Which is the fourth biggest value? (a) 1 (b) 1/8 (c) 0.05 (d) q d Suppose 11*u = 1286 - 340. What is the second biggest value in 2, u, -0.4, 4? 4 Let j = -54.8 - -58.83. Let d = 4 - j. Let m = d + 0.23. What is the biggest value in m, -2/5, 2/3? 2/3 Let t = -1.327 - 0.673. What is the third biggest value in -19/12, 0.2, t? t Let s = 544 + -512.9. Let h = 31 - s. Which is the third smallest value? (a) -1 (b) -0.04 (c) h b Let s = 703 + -10543/15. Suppose 5*w = -0*w + 10. What is the biggest value in s, w, 5, 2/3? 5 Let v = 0.1 - 0.21. Let h = -0.19 + v. Let p = 174 + -1037/6. What is the third smallest value in -1, h, p? p Let g(r) = -r**2 + 14*r - 9. Let q be g(13). Let o(n) = -n**2 + n. Let p be o(q). Let m = p + 8. Which is the third smallest value? (a) 0.3 (b) m (c) -1 a Let r = -2346.01 + 2409. Let g = r + -60. Let k = -0.01 - g. Which is the biggest value? (a) -1/10 (b) k (c) 3 c Let o = 478.2 - 478. Let u = 15/4 - 5. Which is the third smallest value? (a) o (b) -1 (c) u (d) 2/3 a Let l = 47 - 43. Which is the fourth smallest value? (a) 2 (b) 0.5 (c) l (d) -0.3 c Let x be (1/(-18))/(-7 - (-488)/72). Let v be (-3)/3*(-2)/(-6). What is the smallest value in x, -5, v, 3? -5 Let y = -110 - -548/5. Let o = 4.1 + 0.9. Let m = -0.6 - -0.9. Which is the second smallest value? (a) m (b) o (c) y a Let y = -1155/104 + 146/13. What is the biggest value in 18/29, 0.3, y? 18/29 Suppose -4*n + 8 = -8. Let m(w) = 8 - w + w - w. Let b be m(6). What is the biggest value in n, b, -1? n Let y = 1.03 - 1.1. Let d be ((0 - -4) + -3)*1. Suppose 3*h - 22 = 4*s, 0 = -s - 3*h - h + 4. Which is the biggest value? (a) y (b) d (c) s b
{ "pile_set_name": "DM Mathematics" }
actor c**2/3 - 16634*c + 207517467. (c - 24951)**2/3 Determine y, given that -5*y**3 - 7195*y**2 - 2641520*y - 38020800 = 0. -712, -15 Factor -5*k**4 - 515*k**3 - 3410*k**2 - 4800*k. -5*k*(k + 2)*(k + 5)*(k + 96) Find r, given that 3*r**2 - 5607*r + 149202 = 0. 27, 1842 Determine x, given that -x**4 + 515*x**3 - 68078*x**2 + 454660*x - 387096 = 0. 1, 6, 254 Factor -57*i**3/4 + 1339*i**2/2 + 2783*i/4 + 12. -(i - 48)*(i + 1)*(57*i + 1)/4 Find c such that c**5/4 - 117*c**4 + 5061*c**3/4 - 7781*c**2/2 + 2742*c = 0. 0, 1, 4, 6, 457 Factor -2*s**2/9 + 2542*s/9 - 2540/9. -2*(s - 1270)*(s - 1)/9 Factor -3*l**2/4 - 23613*l/2 - 47223/4. -3*(l + 1)*(l + 15741)/4 Suppose -4*d**4 + 8140*d**3 - 4486752*d**2 + 343901376*d = 0. Calculate d. 0, 91, 972 Factor -3*l**3/5 - 1518*l**2/5 + 4689*l. -3*l*(l - 15)*(l + 521)/5 Factor 2*n**4 - 46596*n**3 + 271398402*n**2. 2*n**2*(n - 11649)**2 Determine w so that w**2/3 - 2554*w/3 + 2551 = 0. 3, 2551 Factor 20*g**3 - 1968*g**2 - 11696*g + 4992. 4*(g - 104)*(g + 6)*(5*g - 2) Determine k so that 2*k**4/5 - 458*k**3 + 91326*k**2/5 - 176022*k - 973728/5 = 0. -1, 21, 1104 Factor -5*t**2 + 10795*t + 32430. -5*(t - 2162)*(t + 3) Determine l, given that -2*l**3 + 3926*l**2 - 1948096*l + 20956672 = 0. 11, 976 Solve -i**2 - 6320*i = 0 for i. -6320, 0 Factor -5*r**3 + 3425*r**2 - 572750*r. -5*r*(r - 395)*(r - 290) Factor -y**3/6 + 433*y**2/6 + 653*y/3 + 436/3. -(y - 436)*(y + 1)*(y + 2)/6 Factor 3*n**2 + 13317*n - 13320. 3*(n - 1)*(n + 4440) Factor q**2/2 - 206*q - 1254. (q - 418)*(q + 6)/2 Factor 2*z**2/3 - 14920*z/3 + 9944. 2*(z - 7458)*(z - 2)/3 Find k such that 2*k**4/19 + 320*k**3/19 + 13392*k**2/19 + 44928*k/19 - 146016/19 = 0. -78, -6, 2 Suppose -4*n**4/5 + 12*n**3/5 + 43668*n**2/5 - 1829756*n/5 + 357216 = 0. Calculate n. -120, 1, 61 Factor -o**3/4 + 11203*o**2/2 + 22407*o/4. -o*(o - 22407)*(o + 1)/4 Determine t, given that 27*t**2 - 27687*t - 43134 = 0. -14/9, 1027 Suppose 13*p**4/4 - 1247*p**3/2 - 32065*p**2/4 - 17023*p/2 - 1122 = 0. What is p? -11, -1, -2/13, 204 Let o**3/3 - 913*o**2/3 + 5447*o/3 - 4535/3 = 0. Calculate o. 1, 5, 907 What is z in -3*z**2 - 3279*z - 108018 = 0? -1059, -34 Factor -3*l**4 - 150690*l**3 - 1892289675*l**2. -3*l**2*(l + 25115)**2 Factor -3*u**2/2 + 11559*u/2 + 5781. -3*(u - 3854)*(u + 1)/2 Solve -g**5/4 + 705*g**4 - 1409*g**3/2 - 705*g**2 + 2819*g/4 = 0. -1, 0, 1, 2819 Factor -r**4 - 60*r**3 + 532*r**2 - 816*r. -r*(r - 6)*(r - 2)*(r + 68) Suppose r**5/3 + 56*r**4/3 - 43*r**3 - 740*r**2/3 + 836*r/3 + 464 = 0. Calculate r. -58, -3, -1, 2, 4 Factor 6*k**3/17 - 120686*k**2/17 + 606899722*k/17 - 202286498/17. 2*(k - 10057)**2*(3*k - 1)/17 Factor 2*x**3/17 + 674*x**2/17 - 40*x - 1352/17. 2*(x - 2)*(x + 1)*(x + 338)/17 Factor y**3/4 + 85085*y**2/2 + 510501*y/4. y*(y + 3)*(y + 170167)/4 Find w such that -w**3/2 - 63*w**2/2 - 448*w + 1026 = 0. -38, -27, 2 Factor -4*h**4 + 61576*h**3 - 237835732*h**2 + 6623237712*h - 46278335376. -4*(h - 7683)**2*(h - 14)**2 Let 3*g**2 + 255*g + 252 = 0. Calculate g. -84, -1 Let -h**2/6 - 36127*h/6 + 18064/3 = 0. Calculate h. -36128, 1 Find l, given that l**4/4 - 295*l**3/4 + 21303*l**2/4 + 67795*l/4 - 22201 = 0. -4, 1, 149 Determine t, given that 2*t**5/13 + 316*t**4/13 + 984*t**3 + 12688*t**2 + 21632*t = 0. -104, -26, -2, 0 Solve -4*b**2/3 + 88*b + 1120/3 = 0 for b. -4, 70 Solve -2*y**2/5 - 90848*y/5 - 1031669888/5 = 0 for y. -22712 Factor -5*b**2/3 + 415*b/3 + 36040/3. -5*(b - 136)*(b + 53)/3 Factor -2*n**2/5 + 67482*n/5. -2*n*(n - 33741)/5 Solve 4*a**3 + 1960*a**2 + 208772*a + 6392336 = 0. -356, -67 Find d such that -15*d**4 - 894*d**3 - 180*d**2 + 21438*d + 43011 = 0. -59, -3, 27/5 Let 25*r**5/2 + 715*r**4 + 16319*r**3/2 - 27349*r**2 + 17778*r - 3276 = 0. Calculate r. -39, -21, 2/5, 2 Factor 2*k**2 - 11330*k - 11332. 2*(k - 5666)*(k + 1) Factor 85*d**3 + 7790*d**2 - 2815*d - 5060. 5*(d - 1)*(d + 92)*(17*d + 11) Suppose -3*d**2 + 4306356*d - 1545391833228 = 0. What is d? 717726 Factor 3*j**3 + 1812*j**2 - 5457*j + 3642. 3*(j - 2)*(j - 1)*(j + 607) Suppose -2*k**4/5 - 3652*k**3/5 - 2487018*k**2/5 - 149710088*k - 16805080360 = 0. Calculate k. -515, -398 Find b, given that 81*b**4 + 333*b**3 - 348*b**2 + 60*b = 0. -5, 0, 2/9, 2/3 What is q in -q**3/4 - 89*q**2/2 + 1665*q/4 - 1683/2 = 0? -187, 3, 6 Factor -q**4 + 1460*q**3. -q**3*(q - 1460) Let y**4/4 - 111*y**3/4 - 1923*y**2/4 + 4175*y/4 - 1071/2 = 0. Calculate y. -17, 1, 126 What is h in 4*h**2 + 1276*h - 46464 = 0? -352, 33 Find m, given that -4*m**4 - 5752*m**3 + 34732*m**2 + 109648*m - 138624 = 0. -1444, -3, 1, 8 Suppose 7*b**2 + 575156*b + 82701106084/7 = 0. What is b? -287578/7 Let -4*x**2 - 366160*x - 8379571600 = 0. What is x? -45770 Factor -5*m**2 + 4480*m - 13395. -5*(m - 893)*(m - 3) Let -4*x**3/3 + 47*x**2/3 - 68*x/3 - 20/3 = 0. Calculate x. -1/4, 2, 10 Find s such that 3*s**2 - 143082*s - 572376 = 0. -4, 47698 Solve 22*m**3 + 3943320*m**2 - 716968*m = 0. -179242, 0, 2/11 Factor -y**5/7 - 8940*y**4/7 - 19900305*y**3/7 + 360138690*y**2/7 - 2164700700*y/7 + 4333271256/7. -(y - 6)**3*(y + 4479)**2/7 Suppose l**2/5 - 473*l/5 + 7350 = 0. What is l? 98, 375 Factor 2*p**4 - 2164*p**3 + 6474*p**2. 2*p**2*(p - 1079)*(p - 3) Factor 2*w**3/5 + 856*w**2/5 + 2554*w/5 + 340. 2*(w + 1)*(w + 2)*(w + 425)/5 Determine r, given that 28095008*r**3/3 - 28072520*r**2/3 - 14989*r/2 - 3/2 = 0. -3/7496, 1 What is n in -4*n**4/5 - 10052*n**3 + 301656*n**2/5 - 603376*n/5 + 402272/5 = 0? -12571, 2 Determine j so that 16*j**5/7 - 332*j**4/7 + 172*j**3/7 + 1408*j**2/7 - 944*j/7 - 320/7 = 0. -2, -1/4, 1, 2, 20 Factor -5*r**2 + 6580*r + 448825. -5*(r - 1381)*(r + 65) Determine s, given that -s**2/9 - 521*s/3 + 6396 = 0. -1599, 36 Suppose -2*f**2 - 145696*f - 2653415552 = 0. What is f? -36424 Suppose 2*t**2 + 30834*t - 30836 = 0. What is t? -15418, 1 Solve j**2/5 + 14052*j/5 + 49364676/5 = 0. -7026 Suppose j**2/2 + 27526*j + 378840338 = 0. Calculate j. -27526 Solve 2*r**3/11 + 29266*r**2/11 + 107601712*r/11 + 3941299496/11 = 0 for r. -7298, -37 Factor 4*q**4 - 592*q**3 + 1748*q**2 - 1160*q. 4*q*(q - 145)*(q - 2)*(q - 1) Factor -4*d**3 - 2488*d**2 - 2476*d + 4968. -4*(d - 1)*(d + 2)*(d + 621) Solve 52*o**5 - 8224*o**4 + 24508*o**3 + 141504*o**2 - 22320*o = 0 for o. -3, 0, 2/13, 6, 155 Let -2*z**5/13 - 306*z**4/13 + 1268*z**3/13 + 1876*z**2/13 - 1266*z/13 - 1570/13 = 0. What is z? -157, -1, 1, 5 Solve 64*h**5 + 542048*h**4 + 6768292*h**3 + 22767444*h**2 + 10148544*h + 1217808 = 0 for h. -8457, -6, -1/4 Factor 218*t**3/3 + 2177*t**2/3 + 5420*t/3 - 25. (t + 5)**2*(218*t - 3)/3 Determine p so that -3*p**3 - 753*p**2 + 3858*p + 4608 = 0. -256, -1, 6 Solve u**5/3 - 8*u**4 - 479*u**3/3 + 3962*u**2 - 45080*u/3 = 0. -23, 0, 5, 14, 28 Factor -2*j**3 - 3626*j**2 - 21700*j - 28912. -2*(j + 2)*(j + 4)*(j + 1807) What is k in -4*k**4 - 276*k**3 + 1860*k**2 + 4532*k + 2400 = 0? -75, -1, 8 Suppose x**4 - 11557*x**3 + 173205*x**2 - 865775*x + 1442750 = 0. What is x? 5, 11542 What is k in 11*k**2 - 309*k/2 - 331/2 = 0? -1, 331/22 Suppose 9*q**5/7 + 1118*q**4/7 + 182*q**3 - 9816*q**2/7 - 12195*q/7 - 2214/7 = 0. What is q? -123, -3, -1, -2/9, 3 Factor -4*q**2 - 646912*q - 646908. -4*(q + 1)*(q + 161727) Let -3*f**5 + 4089*f**4 + 8199*f**3 - 12273*f**2 - 16392*f + 16380 = 0. What is f? -2, 1, 1365 Suppose -w**2/2 - 16494*w - 136026018 = 0. Calculate w. -16494 Factor b**3/5 + 16*b**2 + 231*b/5. b*(b + 3)*(b + 77)/5 Let p**3/6 + 21799*p**2/6 = 0. Calculate p. -21799, 0 Solve -4*g**2/3 - 39392*g/3 - 104960 = 0. -9840, -8 What is d in -d**4 - 99*d**3 + 312*d**2 + 604*d - 816 = 0? -102, -2, 1, 4 Suppose -1718658*o**3 + 37080*o**2 - 200*o = 0. Calculate o. 0, 10/927 Solve 2*x**4/7 - 7156*x**3/7 + 6422466*x**2/7 - 38313272*x/7 + 31897960/7 = 0. 1, 5, 1786 Factor -4*t**2 + 1124*t - 62320. -4*(t - 205)*(t - 76) Factor -x**3 - 36587*x**2. -x**2*(x + 36587) Factor 3*t**2/2 + 459*t/2 - 8235. 3*(t - 30)*(t + 183)/2 Suppose -5*i**4 + 772990*i**3 - 29876449965*i**2 + 59747489100*i + 89624712060 = 0. What is i? -1, 3, 77298 Find w such that -4*w**2 - 1200*w - 13824 = 0. -288, -12 Factor -2*l**3 - 40*l**2 - 26*l + 228. -2*(l - 2)*(l + 3)*(l + 19) Factor 2*c**3/15 + 3524*c**2/5 + 2114*c/3. 2*c*(c + 1)*(c + 5285)/15 Solve -5*i**2 - 1030*i - 20240 = 0 for i. -184, -22 Suppose
{ "pile_set_name": "DM Mathematics" }
6*x for l. 2 Suppose x = 3*o - 14, 5*o - 66*x - 20 = -65*x. Solve 0 = -o*b + 3, -d - 4*b - 241 = -248 for d. 3 Let l be ((-120)/(-140))/((-10)/(-35)). Solve l*j - 6*u = -2*u - 24, 4*j + 2*u + 10 = 0 for j. -4 Let i be 50/20*(-16)/(-10) + 0. Let z = 12 + -10. Solve i*d - 3*x = 16, -4*x + 5 - 13 = -z*d for d. 4 Suppose -6*p - 16 = -2*p - 2*o, 2*p + 5*o = -8. Let y(v) = -41*v**2 - 167*v - 4. Let k be y(p). Solve -6*q + 4*j + k = -q, 0 = -4*j + 12 for q. 4 Let m(l) = -4*l**3 + 19*l**2 + 9*l - 16. Let u be m(5). Solve 0 = -u*y - 16, -y = -13*q + 12*q + 9 for q. 5 Let o = 151 - 12. Let x = o - 136. Solve -w - x*f = -f + 3, -5*f = 20 for w. 5 Suppose -50 = 5*j - 115. Let r = 18 - j. Solve 3*n + 6 = 0, 5*w = -r*n + n - 13 for w. -1 Suppose -o + 35 = -5*g - 40, 397 = 5*o - 3*g. Let b be o/(-32)*(-84)/15. Solve 3*a - 4*i = -0*i + 22, i + b = 5*a for a. 2 Let n be (-1 + -2)/(-293 + 292). Solve -n*v + r + 4 = 0, -5*v + v - 12 = 3*r for v. 0 Let x(v) = v - 25 - 6*v**2 - 2*v**3 + 3*v**2 + 27. Let f be x(-2). Solve -f*g = i - 2*g + 1, 2*i + 3*g = 0 for i. 3 Let l be (-64)/(-80) + (-1 - 12/(-10)). Suppose 0 = -5*x - l + 26. Solve -3*y = 5*g + 15, 0 = y - 2*g + 3*g + x for y. -5 Suppose -4*i + 16 - 4 = 0. Suppose -40*h + 3*h = -222. Suppose 2*o - 4*p + 9 = 1, -2*p = -h. Solve 3*d = -i*l - 12, 4*l - d - 2*d + o = 0 for l. -2 Suppose 287*r + 1344 = 735*r. Solve -4*u = r*t - 28, 5*t + 24 = 7*t + 4*u for t. 4 Suppose -20*x + 14*x = -654. Suppose 27*y - 26 = x. Solve -a = 4*p + y, a = 5*p - 4*a for p. -1 Suppose -56 = 2*d + 2*r - 58, 2*d = -r - 2. Let i be (-23)/2 - (-1)/(-2). Let o be (d*1)/(-6*(-3)/i). Solve 4 = -2*k - 3*c - 1, -o*k + 19 = -5*c for k. 2 Suppose 113*i + 68*i - 219*i = -114. Solve 2 = -2*d + i*n, d - 15*n + 10*n = -8 for d. 2 Let m = 78 - 65. Suppose -8 = m*r - 47. Solve 2*s - 5*d + 25 = 0, -15 + 0 = -r*d for s. 0 Suppose -201*z - 460 = -203*z. Suppose 27*n - 770 + z = 0. Solve 5*m = g - n, 4*g - 3*m = 2*g + 5 for g. -5 Suppose -3*g - 338 + 350 = 3*p, 4 = 4*g. Solve -4*r + p*l = -4, 5*l - l - 28 = -3*r for r. 4 Let k(l) be the second derivative of l**4/12 + 2*l**3/3 - 3*l**2/2 - 7*l. Let o be k(-9). Let i be 132/14 - 1 - o/98. Solve n - 2 + i = -a, -4 = -a + n for a. -1 Let q = -48 - -50. Suppose -2*d - q = -x + 3, x - 1 = -2*d. Suppose -x = -3*p - 5*k, 2*p - 4*k = -p + 3. Solve 3*j = 3*r, -3*j - r = 21 - p for j. -5 Suppose 40 = a - 5*h, 36 = 13*a + 5*h - 134. Solve 4*o + 6 - 3 = 3*d, -5*o + a = 0 for d. 5 Let x(o) = -2034*o + 3. Let j be x(0). Solve 0 = h - 2*h - q + j, -2 = q for h. 5 Let c(f) = -100*f + 1315. Let m be c(13). Solve 3*k - m = a - 2*k, 0 = -5*a + 3*k - 9 for a. 0 Suppose 4*r + 0*v = 2*v, -6*r + 2*v = -r. Solve -3*m - f = -r*f + 2, -15 = -5*m + 2*f for m. 1 Let p = 91 + -86. Solve 9 = -5*u + i, -2*u - p*i + 0 - 9 = 0 for u. -2 Suppose -47*q + 14*q + 132 = 0. Solve 2*g + q*i = 10 + 4, -i - 14 = -3*g for g. 5 Let z = -315 - -317. Solve -3*x + 0 - 8 = 5*i, z*i - 2*x = 0 for i. -1 Suppose -279*g = -416*g + 548. Solve 2*k - 16*v + 7 = -17*v, g*v = 5*k - 2 for k. -2 Let i(y) = -y**2 + 7*y - 9. Let k be i(5). Let o be (-2*3/(-2) + 1)*k. Suppose o = -2*n + 4*n. Solve -3 = 3*m, r = -n*r + 2*m - 13 for r. -5 Suppose -42*b - 4965 = 3519. Let i = -197 - b. Solve -3*n + 4*a = 8*a, 17 = -i*n - a for n. -4 Suppose -21 = 11*j - 38 - 27. Solve 2*b = -2*b + 3*a - 27, 3*a = -j*b - 21 for b. -6 Let s(u) = 25*u - 123. Let a be s(5). Let j be (144/(-108))/(a/(-3)). Solve j*l = -4*w - 6, l - 8 - 13 = 4*w for w. -4 Let f(h) = -3*h**2 + 28*h - 15. Let x be f(8). Suppose -x*r + 28*r = 44. Solve -3*a = -r*w - 8*a + 17, 0 = -4*w - 2*a + 2 for w. -2 Let l be (-15)/70*2 + 124*(-12)/(-336). Suppose 0 = -2*g + 6 - 2. Let c = g - 2. Solve 3*z - 5*y - 32 = c, 3*y = z + l*z - 32 for z. 4 Suppose 70 = -31*g + 45*g. Suppose 0 = -30*u + 20*u. Let h be (3*1)/(2/6). Solve u = g*w + 4*r - 15, 2*r = 3*w + r - h for w. 3 Let g = -4105 + 4107. Let o be 5/(10/48) - 0. Let j = 21 + -16. Solve g*u = -p, u + u = j*p + o for p. -4 Let y be (4/(-6))/(56/(-735))*-4. Let w be (y/(-15) - 1)*9. Suppose r + w = 5*r. Solve -3*h - 6 = -5*a + 3, 4*h + 12 = r*a for a. 0 Let t = 7 + -24. Let p = 1329 + -1354. Let k = t - p. Solve -3*r + k = -r - z, -1 = -r + 2*z for r. 5 Let l(x) = -x**3 + 5*x**2 + x + 3. Let s be l(4). Let b(w) = -5*w + 115. Let r be b(s). Solve 0 = -3*v + 5*i + 14, r = -2*v + 5*i + 16 for v. -2 Let j be 0/(-1) - -2 - 0. Suppose 0 = -3*k + 9, -21*f - 4*k + 28 = -17*f. Solve i + f = -3*i, -m + j = -i for m. 1 Suppose 3*a + 12 = -0*a. Let y be (-10 + (0 - 0))*(-2)/a. Let g be (1 - y/(-3)) + 832/78. Solve g = 3*c + 5*o, -2 - 8 = -2*o for c. -5 Let u(c) = -c**2 + 7*c + 31. Let i be u(14). Let p = 70 + i. Suppose 5*x - 4 + 3 = -g, p*x = 4*g - 4. Solve -5*q = -3*b + 31, x = -q + 2*b - 0 - 9 for q. -5 Let v(r) = -9 + 34 - r + 35 - 7*r. Let k be v(7). Solve -5*w + k = 4*y, -4*w - y - 2*y + 3 = 0 for w. 0 Let c = -7830 - -7840. Solve 5*y + c = 2*i + 18, -y - 12 = 3*i for i. -4 Let w(p) = 87*p - 87. Let r be w(1). Suppose 3*j - 24 = -j. Solve -4*a + j*a - 2*v + 10 = 0, 2*v = r for a. -5 Let x(q) = -27*q - 2 - 34*q - 4*q**3 + 3*q**3 - 3*q**2 + 68*q. Let j be x(-5). Solve -5*o + j = t, 3 = 3*o - 3*t - 12 for o. 3 Suppose -c + 64 = 74. Let a be 3/(-2) - (-1)/4*c. Let j be 1 - (2 + 2 + a - -1). Solve j = -4*k + 2*p, -3*p + 4 = 16 for k. -2 Let h be 217 + (25/(-5) + 3 - -2). Let p = 219 - h. Solve 8*g - 3*g = p*u - 19, -2*u = -g + 1 for g. -5 Suppose 17*m + 4*m = 16*m + 200. Solve 0 = 4*u - m*v + 38*v - 24, -2*u + 4 = v for u. 4 Suppose 0 = -5*r + 3*j + 76, r - 5*j - 246 = -222. Solve 3*c = -l + r, 0 = 4*l - 0*l + 2*c - 6 for l. -1 Let u = -307 + 309. Suppose -g - u*x + 7*x = -20, 0 = g + 2*x + 1. Solve -2*q - 14 = -g*z, 5*q - 2*z - 7 = -0*z for q. 3 Let v(r) = r**2 - 55*r - 87. Let t be v(57). Let y be 454/18 - 8/36. Solve x - 4*p + t = p, 3*p = 5*x + y for x. -2 Let v = -252 + 240. Let t be 13 - (v/(-3) - 0). Solve -4*i = -t*i + h + 2, -4*i + 2*h - 2 = 0 for i. 1 Suppose -r = -w + 643, 0 = -4*w - 2*r + r + 2547. Let c = w - 630. Solve 2*a = c, 3*a + 8 = 5*y - 5 for y. 5 Let d = -519 + 447. Let q be ((-1)/5)/((d/200)/9). Solve -4*b + q*a - 7 - 9 = 0, -b = a - 5 for b. 1 Let y = -251 + 33. Let b = -215 - y. Solve b*r + f - 5 = -1, -r - 4*f = -16 for r. 0 Let b be (-1620)/16 + 12/(-16). Let y = b - -102. Solve -3*m + 4*l + 29 = y, -2*l = 2*m + 3*l + 19 for m. 3 Let d be 9/(189/(-35))*(1 - 13). Suppose 3*y = l + 48 - 143, 4*y = -d. Suppose l = 6*b - b. Solve 3*v + m - 2*m = -14, 2*m = 2*v + b for v. -3 Let b = -80 + 82. Let x be 0 - -1 - (12 - b). Let q(o) = 4*o + 38. Let r be q(x). Solve 8*i - 3*i + 26 = -h, -15 = 5*h + r*i for h. -1 Let u(i) = 3*i - 2. Let g be u(1). Suppose 4*p - 12 = -0*p. Let h = -109 + 115. Solve -p*l = -3*k - 9, k - h*l = -4*l - g for k. -5 Suppose -17*c + 44*c + 54 = 0. Let j(a) = -a**3 - 3*a**2 - 3*a + 4. Let l be j(c). Solve -p = -5*d - 2, l*d + 2 = 3*d + p for d. 0 Let q be 8*(3/6 + 5 + -4). Let w be 0/(((-16)/(-12))/(8/q)). Let z be 10*(-1)/1*(w + -1). Solve 2*b + 13 = -7*j + 4*j, 3*j + 5*b = -z for j. -5 Let s(o) = o**2 - 15*o - 8. Let l = -29 + 82. Let c = l - 37. Let r be s(c). Solve 0 = 4*m - m - u - 15, -5*m = 4*u - r for m. 4 Let w(y) = -y**3 + 10*y**2 + 36*y + 43. Let p be w(13). Let d(n) = -21*n + 94. Let c be d(p). Solve 0 = u - 4*s - 13, -4*u + s - 3 = -c for u. 1 Let u = 6827 - 6822. Solve 2*b - u*m = 0, -15 = -21*b + 26*b - 5*m for b. -5 Let d(r) = -r**3 + 13*r**2 + 5*r + 14. Let p be d(14). Let t = p - -80. Let a = t - -34. Solve -10 = 2*o, a*y - 15 = -0*y + o for y. 5 Let f be 4 - 29/7 - (-50)/7. Suppose 3*o - 5*k = 0, f*k = -3*o + 3*k. Suppose h - 2*c = -3*h, o = 4*c. Solve -10 = -u + 2*g - h, 3*u + g - 9 = 0 for u. 4 Let v = 33737 + -33737. Solve 5*q - 9 = a, v = q - 5*a + 8 - 5 for q. 2 Let a(p) = 57*p + 2688. Let w be a(-47). Solve w = -4*y - 0*y + u, -5*y - 4*u = 6 for y. -2 Let k(u) = u**3 + 21*u**2 + 3*u + 66. Suppose -2*v - 36 - 6 = 0. Let g be k(v). Solve -2*l + 2 = -4*z - 18, -g*l - 5 = z for z. -5 Suppose 29*w - 38 = 397. Let d(h) = h**2 - 10*h - 71. Let p be d(w). Solve 2 = 4*n - 4*l - 2, -5*n + 23 = p*l for n. 3 Suppose 0 = -82*k + 87 + 241. Solve k*g + 4*m + 6 + 10 = 0, 5*g + 16 = -4*m for g. 0 Let r be (-100 + 101)/(2/8). Solve
{ "pile_set_name": "DM Mathematics" }
Let p = 0.106 - 105.106. Let q = p + o. Round q to 2 dps. 0.29 Suppose 17*s - 2572500 = 38*s. What is s rounded to the nearest one hundred thousand? -100000 Let u = 1.43 + -1.4. Let j = 0 - u. Let l = -0.0325 - j. What is l rounded to three decimal places? -0.003 Let w = 0.0363984 + -232688.0363984. Let j = -232691.3999872 - w. Let q = 3.4 + j. What is q rounded to 5 dps? 0.00001 Let d be -345024 + 1 - (2340/325 - 2/10). Round d to the nearest ten thousand. -350000 Let f be 2923084 - -12*24/18. What is f rounded to the nearest ten thousand? 2920000 Let f = -10099.26 + 9813. What is f rounded to the nearest integer? -286 Let t = -125 - -124.991. Let h = -17.13 - -17. Let p = t - h. Round p to 2 dps. 0.12 Let g = -9930 - -9930.000005723. Round g to six decimal places. 0.000006 Let v(o) = 22930*o**2 - 22*o - 1. Let w be v(11). Let z = w - -2973843. Let b = z + -2218130. What is b rounded to the nearest 100000? 3500000 Let v = 64 + 5. Let l = v + -66. Let p = -2.999744 + l. What is p rounded to four decimal places? 0.0003 Let k be 5*24/(-18)*-6. Let d = 1841 + k. Round d to the nearest ten. 1880 Let x = -618 - -431. Let b = -186.528 - x. What is b rounded to one dp? 0.5 Let t = -70094.6 - -77928. Round t to the nearest one hundred. 7800 Let j(l) = 16*l**3 + 40*l**2 - 16*l - 30. Let n be j(21). Round n to the nearest one thousand. 165000 Let s = -20568.9991553 - -20569. Round s to four decimal places. 0.0008 Suppose 466 = -6*t + 1804. Suppose t + 1 = 4*b. Let h be 4624/b + ((-3)/7)/(-1). What is h rounded to the nearest ten? 80 Let a = -7321 + 7320.9686. What is a rounded to 2 decimal places? -0.03 Let k(w) = -606797*w - 7. Let s be k(8). Let d = s + -4745617. What is d rounded to the nearest 1000000? -10000000 Let z = -32390 - -32389.78203. What is z rounded to 1 decimal place? -0.2 Suppose 7*y - 5*h = 10*y - 7995, 5*y + 4*h = 13312. What is y rounded to the nearest one hundred? 2700 Let d = -167.57 - 2.43. Let m = 170.0139 + d. Let w = m + -0.02314. What is w rounded to 3 decimal places? -0.009 Let d = 365 - 177. Let l = d + -187.999378. Round l to 4 dps. 0.0006 Let f = 4541 - 4615.8. Round f to the nearest integer. -75 Let p be ((-3)/1)/((-1)/(6 - 5)). Let z be (p + -24903)/((-15)/200). What is z rounded to the nearest ten thousand? 330000 Let b = -171 - -214. Let k = b + -43.01036. What is k rounded to 4 dps? -0.0104 Let r = 147.842 + -148. Let k = -0.09493 + -0.01207. Let a = r - k. What is a rounded to 2 dps? -0.05 Let l = -8.875 - -19.18. What is l rounded to 0 decimal places? 10 Let n = -12.255423 - -12.238. What is n rounded to four decimal places? -0.0174 Let y = -1723 - -4231. Let k = y - 2508.000001121. Round k to 6 decimal places. -0.000001 Let p = 76.29 - 3.29. Let f = -60.6 + p. What is f rounded to 0 decimal places? 12 Let v = 407.2 + -208.9. Round v to the nearest ten. 200 Let k = 25.7438 - -0.0962. Let h = k - 26. Let f = h + 0.131. Round f to two decimal places. -0.03 Let g = 163.48 - 60.59. Round g to the nearest ten. 100 Let n = -57492.9 - -54757. Let o = n + 2853. What is o rounded to the nearest 10? 120 Let x = 8757 + -20225. Round x to the nearest 100. -11500 Let h = -2.7806979409 - -2.7807. What is h rounded to seven decimal places? 0.0000021 Let g = -45.92 - -552.92. Let r = 0.021797 - -509.148203. Let c = r - g. Round c to one decimal place. 2.2 Let n = 50.36 + -50. Let a = 0.49 - n. Let h = 0.142 - a. Round h to two decimal places. 0.01 Let l = 809104930 + -1380524930. What is l rounded to the nearest 1000000? -571000000 Suppose 5*s + 2*w - 2 = 0, -2*s - 3 = 3*w - 6. Let k be 735750/(163/(-40) - (-4 - s)). Round k to the nearest one million. -10000000 Let x = 2645 - 2643.9675. Round x to the nearest integer. 1 Let g = 2136 + -2136.22675. Let h = -0.233 - g. What is h rounded to four decimal places? -0.0063 Let h = 30986 + -30986.000023037. What is h rounded to 5 dps? -0.00002 Let x = 126.5 - 173. Let c = 171 + x. Let w = c - 157. What is w rounded to the nearest integer? -33 Let u = -4941 + 4940.992499. Round u to four dps. -0.0075 Let s = 10036.33 - 9225.8. Let n = s - 816. Round n to 1 dp. -5.5 Let m = 26879 - 26879.0000012793. What is m rounded to 7 dps? -0.0000013 Let b = -92.2003663 + 92.2. Round b to six decimal places. -0.000366 Let c = 3366 - 7325. Let b = 3576.8 + c. Round b to the nearest 10. -380 Let d = 50238 + -50238.0020357. What is d rounded to five decimal places? -0.00204 Let x = 45 - 24. Suppose -8*q = -5*q - x. Let j(c) = -329*c**2 + 15*c + 16. Let g be j(q). Round g to the nearest one thousand. -16000 Let w = 0.002937 + -0.076991. What is w rounded to three decimal places? -0.074 Suppose -f + 2420644 = 4*x - 4303351, 3*x + 13448034 = 2*f. Suppose 4*d + 5*m + 6160020 = 0, -5*d = 3*m + 976001 + f. Round d to the nearest 1000000. -2000000 Let b = 4.9116588 - -8.9882768. Let w = b - 13.9. What is w rounded to five dps? -0.00006 Let z(d) = 306*d**2 + 69*d + 25. Let g = 153 + -128. Let s be z(g). What is s rounded to the nearest ten thousand? 190000 Suppose 0 = -6*v - 9 + 927. Let y be (-226444)/(-18) + (-34)/v. What is y rounded to the nearest 1000? 13000 Let j = 919 + -1317. Let f = 397.999998945 + j. What is f rounded to seven decimal places? -0.0000011 Suppose -51*g + 145400000 = -71*g. What is g rounded to the nearest 1000000? -7000000 Let h(r) = -446791*r**2 - 43*r - 10. Let k be h(5). What is k rounded to the nearest 1000000? -11000000 Let q = 235326557 - -105803443. What is q rounded to the nearest 1000000? 341000000 Let i = 45756857.03508 - 45755520. Let b = -1337 + i. What is b rounded to 3 decimal places? 0.035 Let g(t) = 31*t**2 - 4*t + 14. Let z(m) = 61*m**2 - 7*m + 27. Let p(o) = -11*g(o) + 6*z(o). Let l be p(-8). Suppose -823 = 3*q + l. Round q to the nearest 100. -800 Let f be (97530/(-20))/(9/(-60)). Let a = f - -33490. What is a rounded to the nearest 10000? 70000 Let h = -15396.869 - -14668.07. Let m = 730 + h. Round m to two decimal places. 1.2 Let c = -4710.98963 + 4711. Round c to four decimal places. 0.0104 Let n = -2.19 - -2.03. Let m = -1.27 - n. What is m rounded to one decimal place? -1.1 Let p = -321885 + 78845. What is p rounded to the nearest one thousand? -243000 Let a = -117.626 + 1.226. Let r = a + 116.399998938. What is r rounded to 7 dps? -0.0000011 Let q = -832.25 + 846.8. What is q rounded to the nearest ten? 10 Let l = -88.983 + -0.017. Let g = -1073681442.99999704 - -1073681532. Let w = g + l. Round w to 7 dps. 0.000003 Suppose -2*h = -4*f + 315320012, -3*h + 3*f - 160875999 = 312104010. What is h rounded to the nearest 1000000? -158000000 Let m = 1114740217.0000009 + -1114740158. Let t = 21 + -80. Let a = m + t. What is a rounded to 6 dps? 0.000001 Let d = 78423.1803 + -78418. Let w = d + -5.21. Round w to 2 decimal places. -0.03 Let z = -743 + 616.77. Round z to the nearest ten. -130 Let g = 6381 - 6380.999973176. What is g rounded to 7 decimal places? 0.0000268 Let u = 12.243 + -1085.643. What is u rounded to the nearest 100? -1100 Let p = 319.82 - 4.82. Let m = p - 315.000028. What is m rounded to 6 dps? -0.000028 Let x = 6842 + -3362. Let z = x - 3479.7711. What is z rounded to 2 dps? 0.23 Let k = 457 + -221. Let l = 215.54 - k. What is l rounded to zero dps? -20 Let x = -481.023 - -0.023. Let a = x + 481.000000584. What is a rounded to seven dps? 0.0000006 Let s = 1879.105 - -404.665. Let p = s + -2331. Let d = p + 48. What is d rounded to 1 dp? 0.8 Let n = -131330945 + 131330944.840001474. Let u = 0.16 + n. Round u to 7 dps. 0.0000015 Let l be 14/(13 - -1) + (0 - -1). Suppose 5*o - 1389 = -5*c + 1286, 3*c = l*o + 1625. Round c to the nearest 100. 500 Let g = -4341 + 3025. Let m = g - -1315.9011. Round m to 1 dp. -0.1 Let l be -1 + -34*9*-8. Let w = l - -42. Let z = 1109 - w. What is z rounded to the nearest 100? -1400 Let c = -0.42 - -2.52. Let a = c - 2.6. Let u = a + 0.50000139. Round u to 7 decimal places. 0.0000014 Let g = -735 + 361. Let a = -37994 + 37618.43. Let f = a - g. Round f to 1 dp. -1.6 Let i be 28*(3 + 20/(-8)). Suppose 6*s - i = 4. Suppose -w = 4*w + 5*t + 520, s*w + 308 = -5*t. What is w rounded to the nearest ten? -110 Let f = -398253917 + 252430914. Let t = f - 3476997. Round t to the nearest one million. -149000000 Let s = 69709 + -6970
{ "pile_set_name": "DM Mathematics" }
t**5 + 2*t**5 + 2*t**5 - 2*t + 2*t + (3*t + 2*t - 3*t)*(2*t**4 - 5*t**4 + 4*t**4). 62*t**5 Expand (0*z**2 - 6*z**2 + 3*z**2)*(-3 + 3 - z)*(189 - 390 + 188). -39*z**3 Expand (45 + 81 - 18)*(-2 - 2*y + 2). -216*y Expand (-120 - 10*p**2 + 263 - 133)*(3 + 0*p + 0*p - p). 10*p**3 - 30*p**2 - 10*p + 30 Expand (-10*t**4 + 11*t**4 + 46*t**4)*(1 - t - 1 - 4*t + 3*t - t + (2 - 2 + 1)*(t - 2*t - t) - 1 - t + 1 + 0*t + 0*t + t). -235*t**5 Expand (0*n**2 - 2*n**2 + 4*n**2)*(-107*n - 101*n - 23*n - 156*n). -774*n**3 Expand (-66*u + 355*u + 277*u)*(u**2 - u**2 - u**3). -566*u**4 Expand 0*n**5 - 3 + 1 - 3*n**5 + (-5*n**4 + 2*n**4 + 2*n**4)*(10*n - 33*n - 11*n). 31*n**5 - 2 Expand -2*i**2 + 8 + 471*i**3 - 938*i**3 + 468*i**3 + (2*i + i - 4*i)*(i**2 - 2*i**2 - i**2). 3*i**3 - 2*i**2 + 8 Expand (0*t**3 - 2*t**3 + t**3)*(2 + 4 - 7)*(-135 - 9 + 0)*(2 + 0 - 3)*(-1 + 0 - 4). -720*t**3 Expand (-3 - 3 - 3)*(-13*a**4 + 6*a**4 + 3*a**4) + (0*a - a**3 + 0*a)*(1 - 1 + a). 35*a**4 Expand (-2*o + 0*o + 3*o)*(o + o - 3*o) + (-17 + 521 - 295)*(-3*o**2 + 4*o**2 - 3*o**2). -419*o**2 Expand (-3*z + 2*z - z)*(0 - 2*z + 0) + (3*z - 5*z + 0*z)*(z - 24*z - 50*z + 4 - 4 + z + (5 - 1 - 3)*(-z + 2*z - 3*z) + 4*z - 4*z + 6*z). 140*z**2 Expand (p**2 + 0 + 0)*(p**3 + 2*p**3 - 2*p**3) + (-39*p**4 + 87*p**4 - 36*p**4)*(0 + 0 + p). 13*p**5 Expand (-11*w + 11*w - 25*w)*(-3*w**2 - w**2 + 11*w**2). -175*w**3 Expand (7 - 3 - 9)*(-m**3 + 30*m**3 - 3*m**3). -130*m**3 Expand (-1 - 1 + 0)*(-4 + 5 - 3)*(-219 + 47 + 9)*(2 + 2 - 5)*(4*n + n - 4*n). 652*n Expand (0*g**2 + 0*g**2 - 2*g**2)*(474 - 736 - 2735 - 355 - 254). 7212*g**2 Expand (3*d**2 - 3*d**2 + 2*d**4)*(2*d + d - 7*d) - 3*d**5 + d**5 + 4*d**5 + 6*d**5 + 6*d**5 + 9*d**5. 15*d**5 Expand (y**3 + 0 + 0)*(-9*y - 11*y - 1 + 7*y). -13*y**4 - y**3 Expand (-101 - 203 - 180 + 67)*(0 + 0 + 2*j)*(-3 + 3 - 2*j). 1668*j**2 Expand (-2*y**2 + y**2 + 0*y**2)*(-19*y**3 + 9*y**3 - 7*y**3). 17*y**5 Expand (17 + 19 - 12)*(9 + 4*c - 9)*(4 - 4 + c). 96*c**2 Expand (-16 - 17 - 17)*(2*w**4 + 3*w**4 - 7*w**4 + w**4 - 2*w**4 + 0*w**4 + (-2 + 2 - w)*(w + 2*w**3 - w) + 1 - w**4 - 1 - w**4 - w**4 + w**4). 350*w**4 Expand (-7*h + 7*h - h**4)*(21*h - 84 + 171 - 83). -21*h**5 - 4*h**4 Expand (-1 + 9 + 7 - 3 - 3 + 4 + (2 - 3 + 0)*(-4 - 3 + 5) + 0 + 0 - 2 - 4 + 4 + 2)*(-s - 1 + 1 + (-1 + 0 - 1)*(s + s - 3*s)). 15*s Expand (-d + d - d**2)*(d**2 + 0*d**2 + d**2) - 2*d**4 + 0*d + 0*d - 125*d**2 + 125*d**2 + 173*d**4. 169*d**4 Expand (-8 - 3*g**2 + 8)*(-2*g - 16*g - 2*g). 60*g**3 Expand (-9 - 12 - 11)*(-2 + 3 + 2*b - 5*b)*((3 - 2 - 3)*(1 + 0 + 0) - 3 + 1 + 0 + 0 + 3 - 4). -480*b + 160 Expand (-3*x**3 + x**3 + 3*x**3)*(-6*x + 4*x + 4*x - 24*x**2) + 15*x - 10*x**5 - 15*x. -34*x**5 + 2*x**4 Expand (75 - 44 + 105)*(4 - 2*d - 4)*(8 - 8 + 9*d). -2448*d**2 Expand (2269 - 6803 + 2265 + 25*g + 2265)*(-1 - 3 + 3). -25*g + 4 Expand (2 + 0 - 3)*(-2*s + s + 3*s)*(-3 - 3 - 1) - 9 + 330*s - 322*s - 1. 22*s - 10 Expand (-6 + 6 + 4)*(-3*v + 3*v + 3*v)*(2 + 0 + 0)*(4 + 1 - 3). 48*v Expand (-2*w**4 + w**4 - w**4)*(0*w - w + 2*w) + 7*w**2 - 7*w**2 + 12*w**5. 10*w**5 Expand (-3 + 3 + 1)*(96*d + 1 + 2 - 99*d). -3*d + 3 Expand (7 - 10 + 4*a - a)*(2*a - a**2 - 2*a). -3*a**3 + 3*a**2 Expand (3*f - 3*f + 2*f)*(f**2 - f**2 - 2*f**2) + f**3 + f**3 - f**3 + (0*f + 2*f + 0*f)*(373*f - 3*f**2 - 373*f). -9*f**3 Expand (1 - 4 + 2)*(-6*h**2 - 9*h**3 + 6*h**2) + (3*h + 0*h - 4*h)*(0*h**2 + 3*h**2 - 2*h**2) + 35*h**3 + 8*h**3 + 48*h**3 + 1 - 1 - h**3. 98*h**3 Expand (-2 - 2 + 11)*(-r + 0*r - r)*((9 - 3 - 4)*(1 - 1 - 2) + 2 - 5 + 2 + (3 + 1 - 2)*(0 + 1 - 2) + 0 + 1 + 0 + 1 + 1 + 0 - 3 + 2 + 2). 42*r Expand (-b + 12*b + 6*b)*(2*b - 2*b - 2*b)*(10*b - 10*b - 12*b**2) + 2*b**4 - 6*b**4 + 2*b**4 - b**4 + 2*b - 2*b + (b - 2*b**2 - b)*(4*b - 2*b**2 - 4*b). 409*b**4 Expand (2*z - 4*z + 4*z)*(51 + 7*z**2 - 6*z**2 + 12). 2*z**3 + 126*z Expand (0*k + k - 3*k)*((-4 + 1 - 1 + (-1 - 1 + 1)*(0 + 6 - 2))*(1 - k**2 - 1) + (k + 2*k + 0*k)*(-6*k + 3*k + k)). -4*k**3 Expand (-4*j + 3*j**3 - j**3 - 16*j)*(-3*j**2 + 2*j**2 - j**2). -4*j**5 + 40*j**3 Expand (-1 + 1 - 2*l**2)*(-1 + 0 - 1) + 2*l**2 - 5*l**2 + 2*l**2 + l**2 + l**2 - l**2 + 205 - 419 + 214 - 258*l**2. -254*l**2 Expand 58775*s**4 + 2 + 277*s - 58775*s**4 + 2*s**5 + (-s**2 - 2*s**2 + s**2)*(-2*s**3 + 2 - 2) + 0 + s**5 + 0. 7*s**5 + 277*s + 2 Expand (-76*x**2 + 3*x**2 + 99*x - 100*x)*(-1 + 5 - 2)*(2*x - 5*x + 2*x). 146*x**3 + 2*x**2 Expand -4 + 4*x**2 - 2*x**2 - 4*x**2 + (5 - 4 - 30 + 2*x)*(-2*x + 2*x + 2*x). 2*x**2 - 58*x - 4 Expand (-2*g**2 - g**3 - 19*g**2 + 65*g**2)*(-114*g - 17*g**2 + 114*g). 17*g**5 - 748*g**4 Expand (-2 - 1 + 4)*(3 - 3 - 2*k**2) - 2 - k**2 + 2 + k - 2*k**2 - k - 2*k**2 + 2*k - 2*k + 220*k**2 + 157*k**2 - 55*k**2. 315*k**2 Expand (-2*z + 2*z + z**3)*(-296 + 127 - 13). -182*z**3 Expand (-2*t + 3*t + 0*t)*(6 - 1 - 2)*(-3 + 1 + 3)*(-27 + 49 - 30). -24*t Expand ((-1 + g + 1)*(-4 + 2 + 3) - 16*g + 12*g + 30*g)*(0*g**3 - 4*g**3 + 2*g**3). -54*g**4 Expand (3*w - 2*w - 3*w)*(-334 - 665 - 3149 - 523 + 266). 8810*w Expand (-3*s**4 - s**3 + s**3)*(6*s - 6*s + 3*s + 2). -9*s**5 - 6*s**4 Expand (-2*l - 2*l + 3*l - 3 - l + 3 + (-4 - 1 + 6)*(-3*l + 4*l - 2*l) + l - 2*l - l - l - l + 12*l)*(-4*l**3 + 4*l**3 + l**4). 5*l**5 Expand (-1 + 1 - 1)*(-2*p - 2*p + 3*p)*(163 - 40 - 75). 48*p Expand (-1 - x**2 + 1)*(10 - 10 + 7*x) - 2*x**3 + x**3 - x**3 + (3 - 2*x - 3)*(-x**2 + 3*x**2 + 0*x**2) - 143*x**3 - 5*x + 129*x**3 + 2 - 4. -27*x**3 - 5*x - 2 Expand (0 + 2*o + 0)*(2*o + 3 - 3)*(-401*o - 47*o - 13*o). -1844*o**3 Expand (28*w + 23 - 23 - 2*w - w + 5*w + 2 - 2 + w + (-2*w - 3 + 3)*(2 + 3 - 6))*(6 - 1 - 3 + (0 - 5 + 4)*(3 + 1 - 3) + 2 - 1 + 1). 99*w Expand (-25*i + 1786844 - 63*i - 1786847)*(i + 4*i - 3*i). -176*i**2 - 6*i Expand (0 + 3*i + 0)*(-33*i - 11*i**4 + 33*i) + (i**5 - 4*i**5 - i**5)*(-4 + 1 - 1) + 4*i**5 - 2*i**5 - i**5. -16*i**5 Expand -58 + 26 + 21 + s**2 + (1 - 6 + 10)*(-2*s**2 - s - 4*s + 2*s). -9*s**2 - 15*s - 11 Expand (2 - 11 - 5)*(q - 4*q + 2*q) + (-6*q + 2 - 2)*(1 - 2 + 0). 20*q Expand (5 + b - 5)*(-84*b + 168*b + 166*b) + (b + 3*b - 3*b)*(-b + 0*b + 0*b). 249*b**2 Expand (0*n + n - 2*n)*(0 + 0 + 2) - 2*n + 2*n - n - n + 4*n - n + 158*n - 471 + 471 + (-1 + 2 + 1)*(n + n - 3*n). 155*n Expand (-3*s**2 - s + s)*(-2 + s**3 + 2) + (-1 - 1 + 1)*(14*s**5 - 11*s**5 - 8*s**5 + 0 + 0 - 2*s**5 + (-4*s**3 + 4*s**3 + s**4)*(s + s - s)). 3*s**5 Expand (2*a**3 + 0 + 0)*(-1 + 5 - 1) + (-3*a**2 - 6*a + 6*a)*(a - 3*a + 0*a) - 2*a**3 - a**3 + 8*a**3. 17*a**3 Expand (-8 + 6 + 9)*(-5*k**4 - 2*k**4 + 0*k**4)*(2 + 0 - 5). 147*k**4 Expand -20*c**2 - 8*c**2 - 5*c**2 + (2*c + 2*c - 3*c)*(-4 + 2 + c + c). -31*c**2 - 2*c Expand (-43*u**3 + 86*u**2 - 86*u**2)*(1 - 1 - 2*u**2) - 13*u**3 - 10*u**5 + 1 + 13*u**3. 76*u**5 + 1 Expand -30*j**4 - 53*j + 53*j + (j - 2 + 2)*(-1 + 1 - 3*j**3). -33*j**4 Expand (-25*x**3 + 32*x**3 - 22*x**3)*(-12*x**2 + 6 - 6). 180*x**5 Expand 8*m**2 + 41*m**4 + 50*m**4 - 4 - 92*m**4 + (0*m**2 + m**2 + m**2)*(m**2 + m**2 + m**2) + 2*m**4 + 3*m**4 - 6*m**4. 4*m**4 + 8*m**2 - 4 Expand (-8 + 4*l**3 + 8)*(15 - 16 + l - 3*l). -8*l**4 - 4*l**3 Expand (0*a - 2*a + 12 - 53)*(3 - 3 + a). -2*a**2 - 41*a Expand (-10 - 172 + 83)*(f - 6*f + 4*f)*(-2 - 3 + 2). -297*f Expand (4*w - 2*w + 6 - 3)*(-6*w**2 + 20*w**2 - 31*w**2). -34*w**3 - 51*w**2 Expand (-4 + 4 + 8*x)*(6 + 4 + 6). 128*x Expand (-174 - 55 - 193)*((-5 + 3 + 3)*(3*c - 2*c + c) + 2*c + c + c). -2532*c Expand (4*u**2 - 3*u**2 - 4*u**2)*(-3 + 3 + 3) + (2*u - 3 + 3)*(-5*u + 2*u + u) + (-2*u - u + 6*u)*(u - 3*u + 0*u). -19*u**2 Expand (95 - 2 + 2)*(3*r - r**2 - 3*r). -95*r**2 Expand (3*g - 15*g - 3*g)*(-3*g + 3*g - 3*g**2)*(0 + 3 + 0). 135*g**3 Expand ((0*m + 3*m - 4*m)*(-3 + 0 + 2) + (1 + 2 - 1)*(2*m + 2*m - 2*m))*(m**4 + 0*m**4 - 15*m**4). -70*m**5 Expand -109 - 17*n**2 + 109 + (2*n - n - 2*n)*(-1 - 2*n + 1). -15*n**2 Expand 4 + 2*k**2 - 4 + (2*k - 5*k + k)*((-6 + 1 + 3)*(-3 + 3 + 1) + 2 + 2 - 3)*((0*k + 2*k + 0*k)*(2 - 2 - 1) + 3*k - 5*k + 0*k). -6*k**2 Expand (-3*c + 2*c - c)*(3*c + 0*c - 4*c)*(-c - 3*c + 5*c)*(-115*c - 32 + 32). -230*c**4 Expand (6*s + 2*s - 4*s)*(-2*s**2 + s**2 - s**2) + (2*s**2 - 5*s**2 + s**2)*(21*s - 7*s - 6*s). -24*s**3 Expand (-271 + 271 + 4*y**2)*(2 - 3 + 0)*(2 - 1 - 2) - 28 - 4*y**2 - 15*y +
{ "pile_set_name": "DM Mathematics" }
-0.26, -0.3 Put -1923, 5, 11 in ascending order. -1923, 5, 11 Sort 797, 0.1, -14 in descending order. 797, 0.1, -14 Sort 3/14, -0.3, 2, 5, 4, 0.24 in decreasing order. 5, 4, 2, 0.24, 3/14, -0.3 Sort 15, -3, -113, -13, 4 in descending order. 15, 4, -3, -13, -113 Put -164, -38, -13 in decreasing order. -13, -38, -164 Sort 3/7, -3, -0.1, -2/11, 17 in decreasing order. 17, 3/7, -0.1, -2/11, -3 Put 87, -3, -539, -14 in increasing order. -539, -14, -3, 87 Put 1/8, 2, 527, 7 in decreasing order. 527, 7, 2, 1/8 Sort -1, -184, 0, 136. -184, -1, 0, 136 Put 2/51, 4, 5, 11.17 in increasing order. 2/51, 4, 5, 11.17 Put -242, -2, -1, -236, 5, 4 in ascending order. -242, -236, -2, -1, 4, 5 Sort -542, -8, 15, 1. -542, -8, 1, 15 Put -4, -18, 0.3, 0.2, -1/2, 2/13 in descending order. 0.3, 0.2, 2/13, -1/2, -4, -18 Sort -312, -0.5, -1.06, 0.5 in decreasing order. 0.5, -0.5, -1.06, -312 Sort 522, -16, 5. -16, 5, 522 Sort -2.9, 2299/2, 1/8, 2/3 in ascending order. -2.9, 1/8, 2/3, 2299/2 Sort 48, 3, -94 in increasing order. -94, 3, 48 Sort 375, -13, 1, 75 in descending order. 375, 75, 1, -13 Sort -10, -27, -2, -5, 5 in decreasing order. 5, -2, -5, -10, -27 Put -2, 22174/3, 10 in ascending order. -2, 10, 22174/3 Put 2/7, 3/11, -0.8 in increasing order. -0.8, 3/11, 2/7 Sort 6, 2280, -89 in decreasing order. 2280, 6, -89 Sort 50, -11, 0.45 in descending order. 50, 0.45, -11 Put -5, 3, 2/45, -1, -44 in descending order. 3, 2/45, -1, -5, -44 Put 24, 5, -2, 9, 29 in descending order. 29, 24, 9, 5, -2 Sort 2/3, -2/7, -5, 1/4, -0.257. -5, -2/7, -0.257, 1/4, 2/3 Sort 1, -12, -20, 2, -5 in ascending order. -20, -12, -5, 1, 2 Sort 0.5, -0.3, -38020, -0.5 in decreasing order. 0.5, -0.3, -0.5, -38020 Put -6, 4, -5, -1536, -4, -3 in decreasing order. 4, -3, -4, -5, -6, -1536 Put -7063, 4, 2 in increasing order. -7063, 2, 4 Sort -1, 5366, 4, -3 in ascending order. -3, -1, 4, 5366 Sort 8, -3, -15, 3, -98, -1 in increasing order. -98, -15, -3, -1, 3, 8 Sort 4, 38, 8, 5, 2, -11 in ascending order. -11, 2, 4, 5, 8, 38 Put -0.02, -4.9, 6, 4, -37 in descending order. 6, 4, -0.02, -4.9, -37 Put 214, -5, 1, -4, -13 in descending order. 214, 1, -4, -5, -13 Put 1, -1.384, 21, 0.2 in decreasing order. 21, 1, 0.2, -1.384 Put -832, 3, -806 in descending order. 3, -806, -832 Sort 1, -20, 85, -148, -3, 0 in ascending order. -148, -20, -3, 0, 1, 85 Sort -2, -1, -5, -3, -36. -36, -5, -3, -2, -1 Sort 5, -77, -517 in decreasing order. 5, -77, -517 Put -4, -2, 49, 0, 4, 11 in ascending order. -4, -2, 0, 4, 11, 49 Sort -4, -36, -12383, -5, 2 in ascending order. -12383, -36, -5, -4, 2 Put -5, -2, -0.07, 0.1, -2/153 in decreasing order. 0.1, -2/153, -0.07, -2, -5 Sort 5, -0.01, -5, 9313, -1/10. -5, -1/10, -0.01, 5, 9313 Put 30, -22, -20 in descending order. 30, -20, -22 Sort -2, 0.4, -3231, 0 in ascending order. -3231, -2, 0, 0.4 Sort -3, 203, -4, -26. -26, -4, -3, 203 Sort -1.9, 5, 0.5, 1, -5 in increasing order. -5, -1.9, 0.5, 1, 5 Sort 2, 3, 13, 4, 70, -3 in decreasing order. 70, 13, 4, 3, 2, -3 Sort 4, 3310, 2, -5. -5, 2, 4, 3310 Put -12, 2215.3, 0.5 in decreasing order. 2215.3, 0.5, -12 Put 26, 109, -1 in decreasing order. 109, 26, -1 Put -1, 1/2, -132, -2 in ascending order. -132, -2, -1, 1/2 Sort -4, 1, 569786 in ascending order. -4, 1, 569786 Sort -2, -4, 2, 1, -9, 46 in decreasing order. 46, 2, 1, -2, -4, -9 Sort 1.3, 0.3, -0.1, -11/3. -11/3, -0.1, 0.3, 1.3 Put -0.4, 0.058, -2/3, -3, -26 in decreasing order. 0.058, -0.4, -2/3, -3, -26 Sort -4, -26, 1, -5, 4, 478 in increasing order. -26, -5, -4, 1, 4, 478 Put 10.1, -0.024, -0.1, 3, -5 in increasing order. -5, -0.1, -0.024, 3, 10.1 Sort 0.2, 2/155, 5, 0, -5/3 in increasing order. -5/3, 0, 2/155, 0.2, 5 Put 1, -3, 16, -26, -4, -30 in ascending order. -30, -26, -4, -3, 1, 16 Sort 11, 4, -18478, -3 in ascending order. -18478, -3, 4, 11 Put 4, -17, -2/3, -65, 3 in descending order. 4, 3, -2/3, -17, -65 Sort 4, -1/7, 3, 29, -2, 3/2 in increasing order. -2, -1/7, 3/2, 3, 4, 29 Put -3/14, 4866/19, -0.2, -0.1 in decreasing order. 4866/19, -0.1, -0.2, -3/14 Put 4, 0.4, -4/43, -5, 2 in descending order. 4, 2, 0.4, -4/43, -5 Sort 1/5, -0.09, 0.028, 3, 0 in increasing order. -0.09, 0, 0.028, 1/5, 3 Put 2, 9, 5, 144, -2 in descending order. 144, 9, 5, 2, -2 Put 279/4, -41, 2/9, 3/8, 0, 0.4 in ascending order. -41, 0, 2/9, 3/8, 0.4, 279/4 Put 1, 5, 6, -5, 48 in ascending order. -5, 1, 5, 6, 48 Sort 0.46, 1319/4, -0.1 in ascending order. -0.1, 0.46, 1319/4 Sort -23, 5, -109, -6, -3 in ascending order. -109, -23, -6, -3, 5 Sort 3, 0, -5/579, -0.3 in decreasing order. 3, 0, -5/579, -0.3 Sort 14, 137, 0, 146 in descending order. 146, 137, 14, 0 Sort -18, 2/5, -4, 1/3, -25 in descending order. 2/5, 1/3, -4, -18, -25 Put 2802, -2, 24 in descending order. 2802, 24, -2 Sort 6, -7, 115, 2, -3 in descending order. 115, 6, 2, -3, -7 Sort -0.03, 0, 3/293, -117 in ascending order. -117, -0.03, 0, 3/293 Put 2, -4, -0.3, 0.048, -2 in decreasing order. 2, 0.048, -0.3, -2, -4 Sort -1828, 3, 117 in decreasing order. 117, 3, -1828 Sort -5, -11, 5, -795, 4, 1 in increasing order. -795, -11, -5, 1, 4, 5 Sort 0.3, -33, -2783. -2783, -33, 0.3 Sort 0, -0.08, -0.2, -1, 132, 5 in decreasing order. 132, 5, 0, -0.08, -0.2, -1 Put 1, 2, 49853, 4/5 in decreasing order. 49853, 2, 1, 4/5 Put -1, 3, -4761 in decreasing order. 3, -1, -4761 Sort 182, 1, 3/2, 3, -10. -10, 1, 3/2, 3, 182 Sort -382, -5, 4 in ascending order. -382, -5, 4 Sort 4, -4, -2, 4369, 1, 5. -4, -2, 1, 4, 5, 4369 Sort 4, 2, 11, -210, 0 in decreasing order. 11, 4, 2, 0, -210 Sort -165, -3, -16 in descending order. -3, -16, -165 Sort -879, -1, 5 in ascending order. -879, -1, 5 Sort 0.16, 0.04, -7/4 in descending order. 0.16, 0.04, -7/4 Sort -0.1, 4, 1, 1.6, -5 in decreasing order. 4, 1.6, 1, -0.1, -5 Put 16, 13.7, 2, -2/9, -5 in descending order. 16, 13.7, 2, -2/9, -5 Put 4/5, 3, -798 in ascending order. -798, 4/5, 3 Sort 21, -16, -608 in ascending order. -608, -16, 21 Sort -1/24, 0, -4, -672. -672, -4, -1/24, 0 Sort 1, 5/3, -0.16, -45. -45, -0.16, 1, 5/3 Put 80, -1, 34, 1 in increasing order. -1, 1, 34, 80 Put -1, 17, 11, -3, -13 in increasing order. -13, -3, -1, 11, 17 Sort 0.7, -325.9, 0, 0.4 in ascending order. -325.9, 0, 0.4, 0.7 Put -45, -1, 1/76, 3, 0.1, 2/7 in decreasing order. 3, 2/7, 0.1, 1/76, -1, -45 Put -0.16, -1, -4, 1/2, -4/17, 1 in decreasing order. 1, 1/2, -0.16, -4/17, -1, -4 Put 277, -30, -3, -6 in increasing order. -30, -6, -3, 277 Put -657, 4, -4, 2, -8 in decreasing order. 4, 2, -4, -8, -657 Sort 2, 0.5, 0.1, 50, -5, 0.14 in decreasing order. 50, 2, 0.5, 0.14, 0.1, -5 Put 92, 1, 12, -4, -1, 9 in decreasing order. 92, 12, 9, 1, -1, -4 Put -265, 2, 0.641 in decreasing order. 2, 0.641, -265 Sort 1, -2, 91, 8, 2. -2, 1, 2, 8, 91 Sort 13, 1247, 4, -2. -2, 4, 13, 1247 Put 16405, -3/2, 5, 1 in descending order. 16405, 5, 1, -3/2 Sort 3, -445, -31, -1 in ascending order. -445, -31, -1, 3 Sort 11/2, -38/5, 5, -0.3. -38/5, -0.3, 5, 11/2 Put 4, 540058, -0.3, 0.2 in increasing order. -0.3, 0.2, 4, 540058 Put 0.1, 16, -1.54, 5 in descending order. 16, 5, 0.1, -1.54 Sort 3, 2, -13, 5, -2 in descending order. 5, 3, 2, -2, -13 Sort 0.1, -12, 2, 0.3 in descending order. 2, 0.3, 0.1, -12 Sort -33, 284, 0, -3, -4, 1 in descending order. 284, 1, 0, -3, -4, -33 Put 6, 0, 2, 311, -2 in ascending order. -2, 0, 2, 6, 311 Sort -4/5, 2/10259, -2, 0 in ascending order. -2, -4/5, 0, 2/10259 Sort 63, -1, -7, -2 in descending order. 63, -1, -2, -7 Put 4/5, -1, -2, -96, 2 in descending order. 2, 4/5, -1, -2, -96 Sort -3058, 4, -119, -3, -5 in ascending order. -3058, -119, -5, -3, 4 Put 2764, -5, -4, 5, 11 in ascending order. -5, -4, 5, 11, 2764 Put 5, 2, 17/4, 0.5, 2/5, -0.2 in decreasing order. 5, 17/4, 2, 0.5, 2/5, -0.2 Sort 23, 9, -4, 2, -124, 1 in descending order. 23, 9, 2, 1, -4, -124 Put 6, 2, -229, -4, -1, -5 in descending order. 6, 2, -1, -4, -5, -229 Put 307, 4, 2/5 in descending order. 307, 4, 2/5 Sort 7/6, 0.5, 17, -79, 2 in decreasing order. 17, 2, 7/6, 0.5, -79 Sort 1/2, -2/5, 10993, -1 in decreasing order. 10993, 1/2, -2/5, -1 Put 14, 244, -2/11, 6/5 in decreasing order. 244, 14, 6/5, -2/11 Put 0.1, 85, -2, -1, -88.8 in decreasing order. 85, 0.1, -1, -2, -88.8 Sort 14.679, -0.18, -1 in decreasing order. 14.679, -0
{ "pile_set_name": "DM Mathematics" }
r n. -2 Let n = -352 - -354. Suppose 4 = 3*k - u + 2*u, -6 = -4*k - u. Suppose -w + a = 3, k*a - 4 = 3*w - 0*a. Solve 11 = -4*z - 3*f, -n = w*z + f + 5 for z. -5 Suppose 0 = j + 3 - 1. Let x be 2 - (-74)/j - 3. Let v = x + 46. Solve 2*g = 3*h - 4, 10 = -v*g + 3*g - 4*h for g. -2 Suppose 5*y - 2*s = 3*s + 15, -5*s + 12 = 4*y. Let h be y/6*7*(-36)/(-21). Suppose h*b = -b. Solve -3*r + b*r = 4*i - 3, -i = 4*r - 4 for i. 0 Suppose -106 + 0 = 53*r. Suppose 5*k = 89 - 629. Let p be (-4 - r)*5/(40/k). Solve p = -5*d + d - 5*o, -2*o = -2*d for d. -3 Suppose 3*r = -5*c + 76, -9*c - 24 = -r - 11*c. Suppose -2 = -r*k + 62. Solve k*s = -w - 2*w - 2, -2*w - 3*s + 2 = 0 for w. -2 Let w be 2/23 + 12483/69. Let s = -177 + w. Solve -4*j + 4*a - s = 0, 5*a - 17 = -5*j - 42 for j. -3 Let b be (-1 + 4)/1 - (2 - 4). Solve x + 15 = b*s, -14*s - 14 = -11*s + 4*x for s. 2 Suppose 3*j - 5*q - 112 = 0, -3*j - 132*q = -136*q - 110. Solve 9*w = -p - 48, 5*w - 33*p = -36*p - j for w. -5 Suppose -24*q = -108 + 12. Let m(i) = -4*i**2 + 3*i + 8 - 3 - i + i + i**3. Let w be m(q). Solve -t - 5*b = t + 19, t + w = -5*b for t. -2 Let o(q) = q**3 + 19*q**2 + 21*q + 60. Let z be o(-18). Let n be 1215/324 + z/(-8). Solve -h - n = -v, 5*v = -6*h + 3*h - 17 for v. -1 Suppose 5*t - 11 = -2*l, -7 = -l - 4. Let p be (3/(-12)*5)/(t/(-4)). Suppose -2*n + 2*q + 6 = -0*q, 3*n - 13 = p*q. Solve -f - f = -2, -f = -x - n for x. 0 Let m(f) = -f**3 - 10*f**2 - 26*f - 1. Let s be m(-5). Solve 37*z - 33*z = 4*h - s, 3*z = 4*h - 7 for z. 3 Let p be 7*(-4)/(-5)*300/120. Suppose g - 5*w - p + 34 = 0, 2*g + 2*w - 20 = 0. Solve -g*u - 12 = -i - 2*i, -2*i = -4*u - 10 for u. -3 Let l(i) = -i**3 + 22*i**2 + 26*i - 33. Let n be l(23). Let z be (-24)/n + 8/3. Solve 4 = t - 5*g, -2 + 10 = z*t + 2*g for t. 4 Let f be (-112 - -112)/(-2 + 4). Solve 68*q + 2 = -y + 67*q, f = y + 2*q - 1 for y. -5 Let j be (36/(-9) + 11)*(-14)/2. Let u be (-13)/(-4) - j/28. Solve -10 = -5*m + 5*a, 2*m = a + 1 + u for m. 4 Suppose -25*t + 2*t + 252 = 5*t. Solve 34 = -8*n + 2*p, -t = -5*n + 2*p - 31 for n. -4 Suppose 6*n = 4*n - 20*q + 22*q + 12, 0 = -2*q. Solve 11*a = n*a + l + 3, l + 3 = 0 for a. 0 Let r(s) = -s - 5. Let h = 375 + -385. Let i be r(h). Suppose -2*q = -5*j + 2*q + 36, 0 = -2*q - 8. Solve i*c - 20 = 4*t, 3*t + 12 = j*c - c for c. 4 Let k = 66 - 64. Suppose 0 = -4*i + 2*p - k, -2*i + 4*p + 8 - 24 = 0. Solve 0 = s + 5*q + 21, -s - 3*q - 11 = -i*s for s. -1 Let z(s) = s**3 - 7*s**2 - 7*s - 7. Let q(y) = y**2 + 3*y + 8. Let l be q(-3). Let t be z(l). Solve -4*m + u + t = 0, -2*m + 3 = u + 4 for m. 0 Let j = 4 + -2. Suppose 141*q = 136*q + 125. Suppose -28*m = -q - 59. Solve -j*b - 25 = -m*h, 0 = h + 2*b - b for h. 5 Suppose 4*p - 718 = -5*y + 3*y, -712 = -4*p - 4*y. Suppose 4*z - p + 61 = 0. Solve -5*t - 4*f = -z, 0 = 6*t - 3*t + 2*f - 16 for t. 2 Suppose 0 = h + 5*w - 116, h = -3*w + 170 - 52. Suppose 0 = 18*v - h + 31. Solve 2*a - 4*t - v - 3 = 0, 2*a + 10 = -5*t for a. 0 Suppose 0 = n + 129 - 142. Suppose -1 = -3*g + 2*m + 20, -5*g - 4*m + n = 0. Solve 0 = -g*d + 15, -4*a - 2*d = 3*d - 7 for a. -2 Let k be 0/1 + 14 - (-50 + 53)*2. Solve -28*z + k = q - 23*z, -4*q = 2*z - 14 for q. 3 Suppose -10 = -3*a + a. Suppose 8*l = 11*l - 15. Suppose -2*w - 64 = -74. Solve q + j = -0*j - w, -j - l = a*q for q. 0 Suppose -45 = -317*f + 308*f. Solve -q + 7 = -f*z + 1, 2*q - 12 = 4*z for z. 0 Let h(w) = -2*w**3. Let b be h(-1). Let v be 34/b - (-11 + 19 + -3). Solve 4*k = -v, -3*c - k = 4 + 8 for c. -3 Let p be 5/(-5)*0/(1 + 2). Solve 4*o = 2*x + x + 4, -2*x - 8 = p for o. -2 Let w be (-4 + 4)*((-637)/(-882) - 2/9). Solve 3*c - 9 = 3*i - w*i, 19 = -5*i + c for i. -4 Let q(b) = -15*b + 52*b + 19 - 12*b - 15*b + b**2. Let j be q(-8). Solve 5*x - 4*o + 2 + 28 = 0, -2*x = j*o - 11 for x. -2 Let g be (-960)/(-9)*(-48)/(-32). Suppose 6*x - 46*x + g = 0. Solve -1 = 2*t + 1, -o - x*t = 6 for o. -2 Suppose 4*c + 3*u = -25, -7*u - 17 = 3*c - 3*u. Let n be (-15)/35 + 312/c. Let s = -43 - n. Solve -2*l = s*x + 8, 3*l = 4*x + x + 20 for x. -4 Let x = 12479 + -12476. Solve 14 = 5*b + 4, -12 = -x*i - 3*b for i. 2 Suppose 3*j + 4*k - 21 = 2*j, 4*j - k = 16. Suppose j*z = 5, -16*o + 30 = -11*o + 5*z. Solve 4*y = c + c + 14, -5 = -o*y for c. -5 Let p = 119 + -121. Let z be (0 + 2)*(-3)/p. Suppose z*g - 5*a - 27 = 0, -3*g = 2*g - a - 23. Solve 2*c - 10 = 2*x - g, 5*c + x = -9 for c. -1 Suppose 0 = 441*k - 437*k - 64. Suppose k*a = 28*a - 60. Solve -4*r + 8 = -2*o - 0*r, 15 = a*r for o. 2 Let w(l) = l**3 - 69*l**2 + 72*l - 269. Let u be w(68). Solve u*c - 5*v + 6 = 0, -4*v = -5*c - 204 + 207 for c. 3 Suppose 0 = 4*x - 54 + 34. Suppose x*o = 25, -5*p + 3*o + 10 = 5*o. Suppose 15*k - 179 - 46 = p. Solve -i + a - k = -6*i, 3*i + 3*a = -3 for i. 4 Let f(c) be the third derivative of 5*c**4/8 + 55*c**3/3 - 6*c**2 + 4. Let m be f(-7). Solve m*v + 0*z - 2*z + 15 = 0, 2*v + 5*z = -6 for v. -3 Suppose -40*q - 2 = -39*q + 5*t, 0 = -4*q + 5*t + 42. Let a be 8/6*(171/18 - q). Solve o = 4*y + 15, 2*o + 1 - 13 = a*y for o. 3 Let i(l) = 4*l - 1. Let c be 0 - -4 - (-125)/(-25). Let b be i(c). Let z = 10 + b. Solve -z*v = 3*k + 10, 5*k + 44 = 3*v + 16 for k. -5 Let g = -51 + 75. Let i be 12/g*(1 - 183). Let t be (-26)/i - 40/(-7). Solve -2 = x, -h + 3*x + t = -4*h for h. 0 Let t(w) = w - 94. Let o(m) = 2*m - 376. Let r(n) = -2*o(n) + 9*t(n). Let f be r(23). Solve -4*l + 0*y = 5*y - 33, -f = 2*l - 5*y for l. 2 Suppose 5*s - 4*o + 33 = 81, 5*o = -35. Solve 0 = -4*z, s*z - z = -5*w + 25 for w. 5 Let w = -1426 - -1430. Solve 3*r = -o + 11, 2*r = -5*o + w - 14 for o. -4 Let h(z) = -z**2 - 7*z - 5. Let w be 5*1 + 10/10. Suppose -d - 12 = j - w, -j - 4 = -d. Let l be h(j). Solve -2 + 7 = 5*t + l*y, -3*y = 6 for t. 3 Let r be 33 + (-9 + 141)/(-12). Solve r = -5*y + 3*b, -y + 20*b - 22*b - 7 = 0 for y. -5 Suppose -4*y + 0 + 10 = 2*p, 0 = -y - 3*p - 10. Suppose -20*v - y + 45 = 0. Solve 2*l - 6 = 0, 0 = -2*i - 0*i + v*l - 2 for i. 2 Let u(m) = -255*m - 752. Let g be u(-3). Solve -2*a + g = -2*j + 19, -3*j + 6 = -2*a for a. -3 Let g(n) = 17*n - 33. Let c be g(3). Solve -4*z - 5*t + c - 22 = 0, -5*t = 5*z for z. 4 Let s(h) = 6 - 7*h + 10*h**2 + 2*h**2 - h**3 - 4*h**2. Let m be (-90)/15 + 13 + (-2 - -2). Let n be s(m). Solve x - k - 12 = -n*k, 3*x + k = 8 for x. 2 Let p be (20/22)/(10/55) - 2. Solve 2*l = -3*n + p, -4*n = -5*n - 2*l - 3 for n. 3 Suppose -2*f = -3*b + 6, 5 = -f + b + 3. Let n = 2546 - 2533. Solve -c + 3 = -l + n, f = -5*l + c + 30 for l. 5 Let w be (10719/(-33) - 1) + 10/(-55). Let a = w + 331. Suppose 4*r = -5 + 21. Solve a*h = v - 12, -2*h + 2 = v + r for h. -2 Suppose 3*x + 100 - 310 = 0. Suppose 48*d - 62*d + x = 0. Solve 0 = o + 4*k + 14, 5*k = 5*o - 0*o - d for o. -2 Let k(n) = 16*n - 188. Let f be k(12). Suppose 0 = s - 4*w + 11 - f, 1 = -s + 2*w. Solve s*x + j - 3 = 1, 3*x + 5*j - 20 = 0 for x. 0 Let d be (-567)/(-6)*(4 - (-16)/(-6)). Suppose -127*t = -d*t. Solve t = -3*p - 5*c - 15, -5*p + 4*c = 19 + 6 for p. -5 Suppose 18 = -5*y + 3*m, -3*y + 2*m - 10 = -0*y. Let j be (40/y)/(-5)*(-9)/2. Let q be (7 - -1)*(-3)/j. Solve -4*c = -z - 21, -q*c + 0 + 11 = z for c. 4 Let x(v) = v**2 + 2*v - 3. Let o be x(2). Let u = 97 + -93. Suppose u*z - 4 = o*r + 19, -z - 5*r = 13. Solve d + 5*s = -0*s + 22, 4*s - 26 = z*d for d. -3 Let k(n) = -14 + 16*n - 40*n - 32 - 26. Let d be k(-3). Solve 3*h - 5*y - 16 = d, 14 = h - 4*h - y for h. -3 Suppose -2*y - 4*d + 24 = 0, -2*y - 23*d = -24*d - 29. Solve 4*v + 25 = -5*q, -4*q - 10*v + 8*v - y = 0 for q. -1 Let b = 289 - 289. Suppose -l + 4*k = -0*l - 4, l - k - 4 = b. Solve -3*f + 7*c - 5*c - 4 = 0, l*f + 5*c = -13 for f. -2 Suppose -q - 3*s + 3 = 0, -q + 5*s - 5 = -0*s. Suppose 10*a - 31*a = q. Solve 3*v - 5*k = a, 6*k - 19 = -2*v + 3*k for v. 5 Let b be -1 - -2 - -1 - -1. Suppose 43*d + 108 = 796. Suppose b*y = -5*z - d, 8 = y - 2*z + z. Solve -2*n - y = 5*p - n, 0 = -4*p - 3*n + 2 for p. -1 Let p(m) = -5*m**3 - 15*m**2 - 4*m - 9. Let f be p(-3). Solve 0 = 5*b - f*c + 15, 2*c = -2*b - 3 + 13 for b. 0 Suppose 5*k - 33 = 2*t, -2*k + 551 = 2*t + 549. Solve k*m - 4*f = 9, 0*m + 3*m - 8 = 5*f for m. 1 Let c be 7/5*(-2145)/(-1001). Solve 0 = -c*t - z + 7, -3*t + 6*z - 8 = 10*z for t. 4 Let h = 219 - 223. Let u be (-10)/30*60/h.
{ "pile_set_name": "DM Mathematics" }
acement from tfhfhcin. 1/28 Calculate prob of picking 1 h, 1 f, and 1 q when three letters picked without replacement from eqfreeheeeqrhrffer. 1/68 What is prob of picking 3 k when three letters picked without replacement from {r: 1, k: 3}? 1/4 Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {q: 11, g: 1, f: 2}. 22/91 Four letters picked without replacement from pvvzpzzvvppypypzpv. Give prob of picking 1 p and 3 v. 7/306 Two letters picked without replacement from zwwllggwzwgg. Give prob of picking 1 z and 1 w. 4/33 Two letters picked without replacement from {h: 2, o: 1, i: 2, z: 1, x: 1, d: 1}. Give prob of picking 1 x and 1 i. 1/14 Two letters picked without replacement from uqsxq. What is prob of picking 2 q? 1/10 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {w: 2, u: 2, s: 1, m: 3, h: 6}. 12/91 Three letters picked without replacement from {r: 5, e: 4, u: 3}. What is prob of picking 1 u and 2 e? 9/110 What is prob of picking 1 f, 2 r, and 1 q when four letters picked without replacement from arrrrqrqhfrnarr? 8/195 What is prob of picking 2 t and 1 d when three letters picked without replacement from kckkkutkkkddkugu? 0 Calculate prob of picking 4 i when four letters picked without replacement from {q: 3, r: 4, i: 11}. 11/102 Two letters picked without replacement from {u: 2, a: 2, i: 2, e: 3}. What is prob of picking 2 i? 1/36 What is prob of picking 3 h when three letters picked without replacement from {o: 1, e: 2, c: 1, v: 3, h: 4, y: 1}? 1/55 Four letters picked without replacement from zzjjzzdd. What is prob of picking 3 z and 1 j? 4/35 Three letters picked without replacement from {q: 3, j: 4}. Give prob of picking 3 q. 1/35 Three letters picked without replacement from {u: 1, r: 4, p: 2}. What is prob of picking 2 r and 1 p? 12/35 What is prob of picking 1 u and 1 x when two letters picked without replacement from {x: 2, r: 1, u: 1, f: 1}? 1/5 Four letters picked without replacement from nrqrqnrrnr. What is prob of picking 1 q, 2 r, and 1 n? 2/7 Two letters picked without replacement from {t: 2, y: 11}. Give prob of picking 1 t and 1 y. 11/39 What is prob of picking 1 l, 1 k, and 1 w when three letters picked without replacement from {l: 2, b: 1, d: 1, k: 1, u: 2, w: 8}? 16/455 Calculate prob of picking 1 c and 3 y when four letters picked without replacement from {y: 11, c: 1, s: 3}. 11/91 Calculate prob of picking 2 m and 1 p when three letters picked without replacement from mpmpmpm. 18/35 Two letters picked without replacement from vvvvdzsvvvsvvvuzvvz. What is prob of picking 1 d and 1 z? 1/57 Two letters picked without replacement from {e: 3, r: 4, o: 1}. Give prob of picking 2 e. 3/28 Three letters picked without replacement from ygnnggfflenllfe. Give prob of picking 1 f, 1 e, and 1 n. 18/455 Four letters picked without replacement from ssyssyyysssy. What is prob of picking 2 y and 2 s? 14/33 What is prob of picking 1 a and 1 y when two letters picked without replacement from yaxyyayvv? 2/9 Two letters picked without replacement from {m: 11, b: 5}. What is prob of picking 2 b? 1/12 Four letters picked without replacement from nznnnnzznzznzznzzzzn. Give prob of picking 4 n. 42/1615 Two letters picked without replacement from adyycdd. What is prob of picking 1 d and 1 c? 1/7 What is prob of picking 2 w and 1 d when three letters picked without replacement from {w: 3, q: 2, h: 1, d: 1}? 3/35 Two letters picked without replacement from {m: 12, i: 3, z: 3}. What is prob of picking 1 m and 1 i? 4/17 What is prob of picking 3 y and 1 l when four letters picked without replacement from {h: 1, f: 2, y: 5, l: 1, a: 1}? 1/21 Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, d: 3}. 1/20 Three letters picked without replacement from jgjjjgjjjggjjj. What is prob of picking 1 j and 2 g? 15/91 Two letters picked without replacement from {x: 11, p: 1}. Give prob of picking 1 x and 1 p. 1/6 What is prob of picking 2 t and 2 e when four letters picked without replacement from {h: 2, e: 10, t: 6}? 15/68 What is prob of picking 3 t and 1 y when four letters picked without replacement from tttyyy? 1/5 What is prob of picking 1 b, 1 g, and 1 m when three letters picked without replacement from {p: 2, m: 1, x: 3, a: 1, b: 3, g: 1}? 1/55 Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gggbbqqqvvbqbgq. 4/21 Calculate prob of picking 2 a, 1 b, and 1 d when four letters picked without replacement from gbkgaaddpkkg. 2/495 Two letters picked without replacement from qqqqqqq. What is prob of picking 2 q? 1 Three letters picked without replacement from mbimiibbbmbbimi. Give prob of picking 1 b and 2 m. 36/455 What is prob of picking 1 z, 1 l, and 1 t when three letters picked without replacement from lzmtzllklmlflmtlll? 3/68 What is prob of picking 2 x when two letters picked without replacement from {q: 3, x: 5, g: 4, n: 3, p: 4}? 10/171 Four letters picked without replacement from {o: 1, u: 1, y: 3, b: 1, t: 1}. Give prob of picking 1 y, 1 b, 1 t, and 1 o. 3/35 Two letters picked without replacement from tftftffcttfffttvff. What is prob of picking 1 f and 1 t? 7/17 What is prob of picking 2 j when two letters picked without replacement from juullljlljuluj? 6/91 Calculate prob of picking 1 a, 1 z, and 1 y when three letters picked without replacement from {y: 2, h: 2, w: 1, a: 1, z: 1}. 2/35 Three letters picked without replacement from {p: 1, q: 1, k: 5, t: 2}. Give prob of picking 1 t, 1 q, and 1 k. 5/42 Three letters picked without replacement from {e: 3, o: 1}. Give prob of picking 3 e. 1/4 What is prob of picking 1 l and 1 r when two letters picked without replacement from {r: 2, f: 1, l: 1, w: 1, c: 2, x: 1}? 1/14 Three letters picked without replacement from rkryyiiykiy. What is prob of picking 2 y and 1 k? 4/55 Calculate prob of picking 1 k and 3 o when four letters picked without replacement from kqqqqqoqqqookooq. 1/91 Three letters picked without replacement from {q: 2, z: 2, b: 5, g: 4, t: 1}. Give prob of picking 1 g, 1 t, and 1 b. 5/91 What is prob of picking 1 p and 1 r when two letters picked without replacement from {i: 1, e: 2, r: 1, c: 1, p: 1, k: 2}? 1/28 Calculate prob of picking 1 o and 1 g when two letters picked without replacement from ooooogogggogo. 20/39 Four letters picked without replacement from bitbbtlitbltbf. What is prob of picking 1 f, 1 b, 1 t, and 1 i? 40/1001 Four letters picked without replacement from nrrrrrrrrrnrrnrr. What is prob of picking 4 r? 11/28 Three letters picked without replacement from rduferrefhururerr. Give prob of picking 2 f and 1 d. 1/680 Two letters picked without replacement from {y: 16, e: 4}. Give prob of picking 1 y and 1 e. 32/95 What is prob of picking 1 b and 1 v when two letters picked without replacement from bbnbvzr? 1/7 Calculate prob of picking 1 h, 1 n, and 2 k when four letters picked without replacement from kkzthahnnhn. 3/110 Calculate prob of picking 1 g, 1 s, and 1 f when three letters picked without replacement from gfrffsrfp. 1/21 Calculate prob of picking 1 e and 3 s when four letters picked without replacement from sejss. 1/5 Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {w: 3, r: 3, x: 5}. 1/11 What is prob of picking 1 m, 1 p, and 2 i when four letters picked without replacement from {i: 2, e: 2, m: 6, p: 8}? 4/255 Two letters picked without replacement from jxzjxhzui. What is prob of picking 1 x and 1 i? 1/18 Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {d: 1, i: 1, s: 2}. 1/6 Three letters picked without replacement from ukkubukuuuukbugggzg. Give prob of picking 1 u, 1 k, and 1 b. 64/969 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from pvppvpwpwpwwvpbwbwww. 8/95 Two letters picked without replacement from immmiimm. Give prob of picking 2 m. 5/14 Calculate prob of picking 2 k when two letters picked without replacement from {k: 7, b: 2, g: 1}. 7/15 Three letters picked without replacement from {j: 7, z: 7}. Give prob of picking 3 z. 5/52 Two letters picked without replacement from pppsspxppfnpfs
{ "pile_set_name": "DM Mathematics" }
many nanoseconds are there in seven quarters of a microsecond? 1750 How many months are there in 412567.5 years? 4950810 How many millilitres are there in three fifths of a litre? 600 How many nanograms are there in 2839.258ug? 2839258 How many seconds are there in 833.7542ms? 0.8337542 Convert 943578.1mm to micrometers. 943578100 What is 28496.9 millimeters in nanometers? 28496900000 What is 41993.16m in nanometers? 41993160000000 What is 7840498.68 seconds in weeks? 12.9637875 What is 63123.92m in kilometers? 63.12392 How many milligrams are there in 7/2 of a gram? 3500 What is 3/10 of a centimeter in millimeters? 3 How many months are there in 1/20 of a century? 60 What is 71004.88 millennia in months? 852058560 Convert 980.9188 decades to millennia. 9.809188 Convert 158.9024 years to millennia. 0.1589024 What is five quarters of a centimeter in micrometers? 12500 What is 0.3570926 tonnes in nanograms? 357092600000000 What is one tenth of a kilometer in meters? 100 What is nineteen quarters of a litre in millilitres? 4750 How many meters are there in 5.769096 kilometers? 5769.096 How many millilitres are there in 15/4 of a litre? 3750 What is 11.0843 litres in millilitres? 11084.3 What is seventeen halves of a litre in millilitres? 8500 How many micrograms are there in 0.730626mg? 730.626 How many micrograms are there in 9.086471ng? 0.009086471 What is 61/2 of a century in years? 3050 How many micrometers are there in three sixteenths of a centimeter? 1875 What is 66.70369 nanoseconds in microseconds? 0.06670369 What is 2.855279kg in micrograms? 2855279000 What is one twentieth of a microsecond in nanoseconds? 50 How many nanometers are there in six fifths of a micrometer? 1200 How many millimeters are there in three tenths of a meter? 300 How many litres are there in 61.80744 millilitres? 0.06180744 Convert 6014.544 micrometers to meters. 0.006014544 Convert 272113.3ml to litres. 272.1133 How many nanoseconds are there in 9/10 of a microsecond? 900 How many grams are there in 73/4 of a kilogram? 18250 What is 0.5563714kg in grams? 556.3714 What is one quarter of a millisecond in microseconds? 250 How many minutes are there in 10/7 of a week? 14400 How many decades are there in 27/2 of a millennium? 1350 What is 13/5 of a litre in millilitres? 2600 What is 1/4 of a millennium in years? 250 What is 7400.783 decades in months? 888093.96 How many seconds are there in 3.0857 weeks? 1866231.36 What is 3.226784 millilitres in litres? 0.003226784 What is 1/4 of a minute in milliseconds? 15000 What is 1/5 of a kilometer in centimeters? 20000 What is 32/5 of a centimeter in millimeters? 64 Convert 62062.074 seconds to hours. 17.239465 What is three fifths of a decade in years? 6 How many months are there in eighty-three thirds of a year? 332 How many decades are there in 87/2 of a century? 435 What is 35.5752 litres in millilitres? 35575.2 How many centuries are there in 6737.816 years? 67.37816 Convert 707.2024mm to centimeters. 70.72024 What is three tenths of a litre in millilitres? 300 How many years are there in 512172.1 decades? 5121721 What is 0.8970829 decades in millennia? 0.008970829 How many millilitres are there in 3/5 of a litre? 600 Convert 39802.33 days to seconds. 3438921312 How many litres are there in 9391.678ml? 9.391678 What is one fifth of a century in decades? 2 What is 13788.954 milliseconds in minutes? 0.2298159 How many nanometers are there in 0.2755741m? 275574100 Convert 0.1884014cm to meters. 0.001884014 How many centimeters are there in 1/4 of a meter? 25 What is 37/2 of a century in months? 22200 What is fourty-five quarters of a millennium in years? 11250 What is seven quarters of a millennium in months? 21000 What is 21/4 of a tonne in kilograms? 5250 How many minutes are there in 13/5 of a hour? 156 Convert 3.623877km to centimeters. 362387.7 How many millilitres are there in 6052.755l? 6052755 What is 1589242.8 months in years? 132436.9 What is nine tenths of a millisecond in microseconds? 900 Convert 1952.564 centuries to decades. 19525.64 What is 638754.8 tonnes in kilograms? 638754800 How many litres are there in 29959.09 millilitres? 29.95909 What is 5/4 of a year in months? 15 Convert 1.763619mm to nanometers. 1763619 How many seconds are there in seven eighths of a day? 75600 Convert 131969.6847 nanoseconds to weeks. 0.00000000021820384375 What is 37/5 of a kilometer in meters? 7400 How many kilograms are there in 9511.809 micrograms? 0.000009511809 How many millilitres are there in 0.3194147l? 319.4147 What is 64663.85 millennia in decades? 6466385 What is sixty-nine halves of a milligram in micrograms? 34500 How many milliseconds are there in 0.2067815 weeks? 125061451.2 How many litres are there in 610155.7 millilitres? 610.1557 How many months are there in three fifths of a millennium? 7200 What is 52/5 of a centimeter in millimeters? 104 What is 42.59825 litres in millilitres? 42598.25 What is 1/20 of a milligram in micrograms? 50 How many months are there in one quarter of a millennium? 3000 What is 44/5 of a kilometer in meters? 8800 Convert 0.1087649 millennia to months. 1305.1788 What is 1/6 of a hour in seconds? 600 What is 27/2 of a meter in millimeters? 13500 How many micrometers are there in 6/25 of a millimeter? 240 How many minutes are there in one tenth of a hour? 6 What is 5/4 of a milligram in micrograms? 1250 Convert 457454.2kg to tonnes. 457.4542 What is 1/20 of a meter in micrometers? 50000 How many microseconds are there in fourty-five quarters of a millisecond? 11250 How many micrometers are there in three fifths of a millimeter? 600 What is 2/125 of a microsecond in nanoseconds? 16 What is 174198.1 centuries in months? 209037720 What is seventeen halves of a hour in seconds? 30600 How many millimeters are there in 3/25 of a meter? 120 What is 9/10 of a gram in milligrams? 900 Convert 0.9125684nm to kilometers. 0.0000000000009125684 What is 88/3 of a year in months? 352 What is 0.305269m in nanometers? 305269000 How many minutes are there in fifty-seven halves of a hour? 1710 How many minutes are there in 499.5533 days? 719356.752 Convert 766.808ml to litres. 0.766808 Convert 65.09891um to kilometers. 0.00000006509891 How many meters are there in 5/4 of a kilometer? 1250 What is twenty-nine fifths of a litre in millilitres? 5800 What is seven eighths of a microgram in nanograms? 875 How many years are there in 7/2 of a decade? 35 How many micrometers are there in 3/16 of a centimeter? 1875 What is eight fifteenths of a hour in seconds? 1920 How many minutes are there in 1280.007 seconds? 21.33345 How many millilitres are there in 5/4 of a litre? 1250 Convert 25.25913 tonnes to milligrams. 25259130000 Convert 0.6516563 micrometers to nanometers. 651.6563 How many kilograms are there in 13/5 of a tonne? 2600 What is 17/4 of a meter in centimeters? 425 How many minutes are there in 3/5 of a hour? 36 How many seconds are there in 1/27 of a day? 3200 Convert 2744.88 decades to millennia. 27.4488 How many months are there in 2538.375 centuries? 3046050 What is 59537.32s in milliseconds? 59537320 What is 7/2 of a century in decades? 35 What is 7/4 of a meter in centimeters? 175 Convert 10245.2t to nanograms. 10245200000000000000 Convert 34.63005ml to litres. 0.03463005 What is 3/40 of a tonne in kilograms? 75 What is fifteen quarters of a litre in millilitres? 3750 How many nanometers are there in 11/4 of a micrometer? 2750 What is 11/8 of a millennium in months? 16500 How many millilitres are there in 1/4 of a litre? 250 How many milligrams are there in eleven quarters of a gram? 2750 What is five quarters of a tonne in kilograms? 1250 How many kilograms are there in 47.7989 micrograms? 0.0000000477989 What is 8.930996l in millilitres? 8930.996 How many decades are there in 13/5 of a century? 26 Convert 6670.315 millilitres to litres. 6.670315 How many centimeters are there in 1/10 of a meter? 10 Convert 51.2937ng to micrograms. 0.0512937 What is three sixteenths of a kilometer in centimeters? 18750 How many grams are there in 0.0317443mg? 0.0000317443 How many decades are there in twenty-nine halves of a century? 145 What is 63265.46cm in kilometers? 0.6326546 How many centimeters are t
{ "pile_set_name": "DM Mathematics" }
11)/5)? 3/11 Evaluate 13/((-104)/20)*4/10. -1 Evaluate (-20)/15*3/2. -2 Calculate 1/5*-1*78/26. -3/5 What is the value of ((-16)/40)/((-33)/15)? 2/11 Evaluate 52/(-13)*(-12)/(-8). -6 Evaluate 2*-1*(-4)/24*1. 1/3 Evaluate (65/13)/((-2)/((-12)/5)). 6 5*(-5)/(25/(-5)) 5 Calculate -6*1*5/(-10*5). 3/5 -9*(44/462)/((-2)/(-14)) -6 Calculate (-2*(-4)/(-4))/2. -1 What is (-65)/(-130)*(-2)/(-12)? 1/12 What is the value of -6*(2/3)/(12/(-18))? 6 Evaluate (84/525)/(-2*(-1)/5). 2/5 What is (-5*4/(-10))/(-8)*10? -5/2 Evaluate (6/(-4))/3*(-75)/(-50). -3/4 What is the value of 9/(-6)*1/6? -1/4 Evaluate (1/33)/(-3*2/36). -2/11 Evaluate (-130)/(-156)*(-9)/(-3). 5/2 What is the value of (-7)/((-28)/4)*5? 5 What is (-88)/12*(-234)/429? 4 What is 7*1*-9*24/252? -6 What is the value of (2/(-1))/((24/15)/(-4))? 5 Calculate 606/(-101)*(-6)/4. 9 What is the value of ((-24)/(-15))/4*(-810)/(-108)? 3 Calculate 935/(-1683)*9/(-1). 5 Calculate (-5)/2*32/(-80). 1 What is ((0/6)/(-6))/(4/2)? 0 Calculate (-6)/35*(-10)/(-4). -3/7 What is the value of ((-3)/6*4)/7? -2/7 Calculate (2/22)/(1/(-2)). -2/11 What is (144/(-144))/(-2*1/(-18))? -9 What is 0/1*1*(-2)/(-6)? 0 What is (3/(-4))/(102/(-544))? 4 2/5*((-2550)/20)/51 -1 What is 9*4/120*5? 3/2 (-1)/10*1*15/6 -1/4 What is (7/35*5)/((-1)/(-1))? 1 Calculate 1*8/(-100)*-5. 2/5 What is the value of 1*((-24)/4)/(2/(-1))? 3 What is -5*(-1)/(15/12)? 4 Evaluate ((-55)/70)/(-11)*2. 1/7 What is (12/136)/((-12)/(-16))? 2/17 What is the value of 2/(-1)*-1*-2? -4 Calculate (-133)/228*20/14. -5/6 What is ((-2)/(-7))/(5/30*3)? 4/7 Calculate ((-6)/216*16)/(4/3). -1/3 What is ((-6)/4)/(4*(-15)/(-80))? -2 (40/30)/((-26)/3) -2/13 What is -24*(-11)/(-484)*11? -6 What is the value of -5*(-1)/(33*20/24)? 2/11 What is (-5)/30*2*3? -1 What is (16/(-6))/1*48/(-32)? 4 (0/3)/(17/(-17)) 0 60/36*(-18)/15 -2 (-14)/(-70)*(-50)/(-2) 5 What is the value of (10/(-6))/((-20)/60)? 5 What is (33/6)/11*6? 3 What is (-8)/16*(-16)/(-12)*-3? 2 Evaluate 1*15/(-5)*1/1. -3 What is ((-8)/(-6))/1*39/208? 1/4 ((-1)/3)/(2/(-18)) 3 What is the value of ((-12)/(-4))/(-6)*0/(-8)? 0 What is -24*(3*6/(-54))/(-1)? -8 ((-7)/3)/(126/(-108)) 2 Evaluate 686/294*1*3. 7 What is ((-6)/9)/(5*2/(-3))? 1/5 Evaluate (-1)/((-2)/24*3)*1. 4 Calculate 3/((-20)/(-6)*18/(-8)). -2/5 4/(9/((-126)/(-28))) 2 What is ((-13)/39)/(14/12)? -2/7 -5*(96/(-150))/4 4/5 -15*(10/(-135))/((-12)/(-9)) 5/6 Evaluate ((-15)/10)/(((-28)/(-8))/7). -3 Calculate 2*((-12)/3)/20. -2/5 What is the value of 8/20*(-21)/(-14)? 3/5 What is ((-320)/11200)/((-1)/14)? 2/5 What is the value of (-3)/(21/2)*(-341)/(-682)? -1/7 Calculate 8*(-12)/144*(-12)/(-2). -4 What is the value of (2/6)/(((-26)/12)/(-13))? 2 What is 0*8*(-4)/(-96)? 0 (((-4)/2)/(-2))/((-506)/(-138)) 3/11 What is the value of (4/(-6))/(20/120)? -4 2/1*-2*(-4)/(-16) -1 Evaluate 0/(((-69)/46)/(1/2)). 0 Evaluate 1/4*-6*8/(-60). 1/5 Evaluate ((-9)/18)/((-7)/14). 1 Calculate (-3)/(-4)*-8*(-9)/(-72). -3/4 What is (-1)/((-70)/4)*(-60)/6? -4/7 Calculate (9/(126/(-4)))/(15/35). -2/3 Calculate (-1)/(-1)*188/94. 2 What is (18/(-45))/(2*(-1)/25)? 5 (-6)/(-8)*5/(75/(-12)) -3/5 Calculate (-2)/18*12/12. -1/9 Calculate (-10)/(-4)*(-44)/55. -2 What is (-4)/10*70/(-14)? 2 What is the value of (-3)/(-3)*6/24? 1/4 ((-25)/(-15))/((-5)/(-18)) 6 3/((-3)/4)*411/(-13974) 2/17 Evaluate ((-49)/196)/(3/4). -1/3 Calculate 1/((-1)/(-8))*(-25)/50. -4 ((-56)/(-210))/(6/45) 2 Calculate (-12)/(-48)*12/(-3). -1 Evaluate ((-5)/20)/(3/(36/4)). -3/4 Evaluate ((-3)/81*4)/(34/51). -2/9 Calculate -12*(-11)/198*-12. -8 (-45)/5*(48/(-9))/16 3 Evaluate 6*1*(72/(-9))/(-112). 3/7 What is (-5)/(-3)*1*(-4)/(-10)? 2/3 (12/24)/(3/(-2)) -1/3 Evaluate 1/(2*6/(-12)). -1 What is -3*4/(-35)*(-35)/30? -2/5 ((-70)/21)/2*3 -5 What is ((-1)/4)/((-60)/32)? 2/15 Calculate 10/(-2)*1/((-85)/136). 8 What is (-6)/36*-2*-1*0? 0 Evaluate ((-8)/6)/(-2*(-2)/6). -2 12/(-2)*(13/(-4))/13 3/2 Evaluate (-2)/1*10/(-110). 2/11 What is ((-22)/2)/(-55)*(-45)/(-3)? 3 Evaluate ((-3)/((-30)/(-2)))/1. -1/5 Calculate -49*(-6)/42*(-2)/(-77). 2/11 What is (1*(-2)/6)/((-2)/(-30))? -5 What is 2*(-14)/(-35)*5/(-4)? -1 Calculate (2/4)/(27/54). 1 What is ((-2)/(-8))/(6/24)? 1 What is the value of (-5)/(15/9)*8/6? -4 What is -5*(-8)/140*7*1? 2 1/1*6*(-9)/27 -2 (2/(-4))/(1*4/12) -3/2 What is the value of ((-6)/(-20))/(((-162)/(-24))/9)? 2/5 Evaluate (0/3)/((-24)/6). 0 What is ((-21)/((-21)/(-10)))/(-1)? 10 Calculate 30/(-9)*(-45)/25. 6 What is -2*2*2*13/26? -4 Calculate (36/14)/3*(-4)/6. -4/7 What is the value of (-2)/6*(-2)/(-8)*-12? 1 What is the value of (48/(-20))/1*240/(-64)? 9 Calculate ((-3)/(-10))/(108/45). 1/8 What is ((-46)/115)/((-6)/165)? 11 Evaluate ((-2)/(-6))/(208/(-96)). -2/13 What is the value of (-4)/(-6)*(-6)/10*5? -2 Evaluate (-8)/(-12*10)*-3. -1/5 (-4)/6*9/(-1) 6 Calculate 6/(-4)*(-20)/15*-2. -4 Evaluate (-5)/((-5)/1)*-1. -1 Evaluate (1/((-1)/3))/((-48)/48). 3 What is (2/24*-3)/((-3)/60)? 5 Calculate 4/(-6)*(-207)/(-115). -6/5 Evaluate (32/24)/(10/(-15)). -2 ((-1)/9)/(9/((-108)/(-16))) -1/12 ((-30)/(-20))/((-1)/(-2)) 3 Calculate (-1)/(((-6)/6)/1). 1 Calculate (-1)/((-5)/10)*(-3)/3. -2 What is -2*9/(-60)*38/57? 1/5 What is the value of 6*3/(-252)*-7? 1/2 -4*-4*(-3)/(-24) 2 What is (24/(-4))/3*35/14? -5 What is (-1)/(1/((-5)/25))? 1/5 -1*(3/4)/((-14)/(-56)) -3 What is (2/(-6))/((16/60)/(-4))? 5 What is the value of (-6)/(-3)*((-10)/5)/1? -4 What is the value of 75/(-15)*(-3)/(-15)? -1 5/(-4)*(6/5)/(-3) 1/2 ((-10)/(-6))/(8*(-25)/(-80)) 2/3 Evaluate 12/9*(-3)/(-12)*-6. -2 Evaluate (-10*12/600)/(2/30). -3 ((-72)/630)/((-4)/14) 2/5 What is the value of (-16)/(-4)*2/(4/(-2))? -4 Calculate 2/((-2)/(-2))*6/20. 3/5 Calculate 5/9*41/((-1845)/54). -2/3 What is the value of 10/75*10/(-2)? -2/3 What is the value of -1*(-12)/(-231)*11? -4/7 What is ((-2)/(-22))/((-7)/7)? -1/11 Calculate (11/44)/(4/(8/(-2))). -1/4 Calculate -1*(6/(-63))/((-3)/(-9)). 2/7 Evaluate (-8)/36*1*(-3)/4. 1/6 Evaluate ((9/12)/(-1))/(45/6). -1/10 4/24*-3*0 0 What is (-10)/(-50)*-3*-1? 3/5 What is 4/21*8/(-48)*-3? 2/21 What is the value of (-45)/(-105)*7*1/(-2)? -3/2 What is -1*4/(-30)*-3? -2/5 What is the value of (3*-3)/((-58)/(-58))? -9 Calculate (4/(36/3))/(-1). -1/3 Evaluate (-3)/7*7/(-6). 1/2 (44/(-99))/(-1*2) 2/9 What is 20/((-8)/(-2))*9/45? 1 Evaluate (-5*1)/((-640)/768). 6 (-14)/28*10/(-1) 5 Evaluate (-7)/12*(-9)/(-14). -3/8 Calculate ((-18)/(-24))/((-234)/48). -2/13 (0/(-1))/(3/15*5) 0 Evaluate 11/((-198)/12)*(-3)/(-2). -1 What is ((-6)/(-8))/((-3)/3)? -3/4 What is the value of (6/9)/(45/90)? 4/3 ((-36)/30)/(-1*2/5) 3 What is ((-16)/532)/(36/126)? -2/19 What is 392/14*(-12)/42? -8 Calculate 3/(21/4)*2/8. 1/7 Calculate ((-12)/48)/((-5)/(-4)). -1/5 What is 20/(-54)*(-12)/20? 2/9 What is (1/(-9)*-4)/(22/(-33))? -2/3 Evaluate (0/(-3))/(10/(-5)). 0 Calculate ((-1)/(-4))/(2*3/(-24)). -1 Evaluate (4/(-14))/(9*50/210). -2/15 Evaluate 1*-4*1/10. -2/5 Evaluate 0*6/(18/3). 0 What is the value of ((98/(-63))/(-14))/((-2)/(-9))? 1/2 What is the value of (1/(-3))/(2/(-6))? 1 Evaluate ((-11)/(-44))/((-1)/8). -2 What is ((-604)/(-151))/(5/(-2))? -8/5 Evaluate ((-312)/90)/13*18/(-4). 6/5 ((-14)/700)/(1/4)*5 -2/5 19/(-19)*2*2/(-8) 1/2 Calculate ((20/15)/4)/(2/2). 1/3 6/9*(-3)/(-6) 1/3 Evaluate (26/104)/((-1)/(-8)*11). 2/11 Calculate 20/6*(-7)/(56/12). -5 Calculate (-4)/6*9*2/(-78). 2/13 Evaluate ((-8)/(-10))/((-17)/((-3570)/28)). 6 What is (-1*(-5)/50)/(3/3)? 1/10 5/60*-4*3/1 -1 Evaluate ((8/(-14))/(-1))/(94/329). 2 Evaluate 12*(135/(-18))/15. -6 Evaluate (-4)/(-1)*(819/(-42))/(-13). 6 What is (-3)/6*1*6? -3 Evaluate (2/4)/(-2*21/(-672)). 8 (-36)/(-192)*(-8)/(-2) 3/4 Calculate ((-1)/3)/((-3)/6)*3. 2 Evaluate ((-5)/(-12))/(-1)*(-207)/230. 3/8 What is the value of ((-5)/(-1))/((-6)/6)? -5 Evaluate -4*((-570)/72)/19. 5/3 What is ((-4)/14)/((-90)/252)? 4/5 Calculate ((170/12)/(-17))/(-5). 1/6 What is (8/(-14))/((-4370)/665)? 2/23 4/(-50)*(-10)/(-2) -2/5 Evaluate ((-3)/3)/((-12)/(-20)). -5/3 What is (-1)/(2*(-5)/(-5))*4? -2 Calculate 4/(-3)*((-3)/(-26))/1. -2/13 What is the value of (8/21)/(400/700)? 2/3 (-6)/(-3)*7/21 2/3 5*(-7)/105*-6 2 Evaluate 24/32*(-5)/(60/8). -1/2 Evaluate 12*(18/6)/(-9). -4 Calculate ((-8)/32)/((-3)/(-60)). -5 What is -2*6*(-3)/(-9)? -4 What is (1/2)/((-938)/(-
{ "pile_set_name": "DM Mathematics" }
-132*sqrt(19) + 2334 Simplify 2 + sqrt(63)/(sqrt(9) - sqrt(576)*2). -sqrt(7)/15 + 2 Simplify ((sqrt(450) - sqrt(18))*-5 - (3 + -2 + sqrt(18)))**2. 126*sqrt(2) + 7939 Simplify 1*sqrt(76) - ((sqrt(684))**2 + sqrt(19) + 5). -689 + sqrt(19) Simplify (sqrt(252) - (sqrt(252) + 0))**2*-4. 0 Simplify (sqrt(3500) + -2*sqrt(3500) + sqrt(3500))/(sqrt(15)/sqrt(147)). 0 Simplify (sqrt(1300) + 1*(-1 + sqrt(1300)))*-1. -20*sqrt(13) + 1 Simplify 0 + (-1 + sqrt(13))*-6. -6*sqrt(13) + 6 Simplify -3 + sqrt(252) + -2*sqrt(252) + 2. -6*sqrt(7) - 1 Simplify -6*sqrt(45)/(sqrt(9)*-2 + sqrt(9)) - (sqrt(1125) - (1*sqrt(1125) - sqrt(1125)))/sqrt(9). sqrt(5) Simplify sqrt(3) + sqrt(3) + -1 + 5 + (-3*sqrt(363) - sqrt(363)). -42*sqrt(3) + 4 Simplify (sqrt(2299) + -4 + sqrt(2299))**2 + 5. -176*sqrt(19) + 9217 Simplify ((sqrt(220)*2)/sqrt(11))/(sqrt(44)/sqrt(176) + sqrt(4)). 8*sqrt(5)/5 Simplify sqrt(104)/sqrt(800) + -3. -3 + sqrt(13)/10 Simplify 4 + (sqrt(22) - sqrt(220)/(sqrt(40) + sqrt(10)))/sqrt(2). 2*sqrt(11)/3 + 4 Simplify (6*(1*sqrt(143) + sqrt(143)))/sqrt(11). 12*sqrt(13) Simplify -1*sqrt(6)/(-3*sqrt(3)). sqrt(2)/3 Simplify sqrt(91)/(sqrt(1008) + sqrt(1008)*2). sqrt(13)/36 Simplify 3 + 3*(sqrt(17) + (-2*sqrt(68))/sqrt(4))**2. 54 Simplify (0 + sqrt(55)/((sqrt(35)*-2)/sqrt(7)))**2. 11/4 Simplify -1*-4*sqrt(2299). 44*sqrt(19) Simplify -1 + sqrt(133)/(sqrt(28) - sqrt(7)). -1 + sqrt(19) Simplify 1 + -3*(sqrt(147) + -1 + sqrt(3))**2. -578 + 48*sqrt(3) Simplify (1 + sqrt(891) + sqrt(891) + -4)**2 + 3. -108*sqrt(11) + 3576 Simplify (-5*(sqrt(30) + -2*sqrt(30)))/((sqrt(72)*1 + sqrt(72))/sqrt(12)). 5*sqrt(5)/2 Simplify (1*sqrt(320))**2 + 5. 325 Simplify ((2*sqrt(105))/sqrt(7))/sqrt(3) + (sqrt(55)/(sqrt(396)*-1))**2. 5/36 + 2*sqrt(5) Simplify (4 + sqrt(104)/sqrt(8))**2 + 2. 8*sqrt(13) + 31 Simplify -2 + sqrt(3) + 5 + 3. sqrt(3) + 6 Simplify sqrt(35)/(sqrt(5) - (sqrt(5) + (sqrt(10) + sqrt(70)/sqrt(7))/sqrt(2))). -sqrt(7)/2 Simplify 3*sqrt(38)/(sqrt(2) - 3*sqrt(2))*-5. 15*sqrt(19)/2 Simplify (sqrt(245) + -2*sqrt(245) + 0)**2 - (-4 + (sqrt(245) + 0 - sqrt(245))). 249 Simplify sqrt(114)/(sqrt(294) - sqrt(6))*-4. -2*sqrt(19)/3 Simplify (sqrt(30)/(sqrt(10)/sqrt(2)))/(sqrt(8)/sqrt(4)*-6). -sqrt(3)/6 Simplify ((sqrt(22) + sqrt(22) + sqrt(22)*2)/sqrt(2))**2 + (sqrt(1331) - (sqrt(1331) + sqrt(1331) + 2))**2. 44*sqrt(11) + 1511 Simplify ((sqrt(119)*-3 - sqrt(119))*-5)/(sqrt(567) + (sqrt(567)*-3 - sqrt(567))). -20*sqrt(17)/27 Simplify -1*(sqrt(52)*1 + -1). -2*sqrt(13) + 1 Simplify ((2 + 0 + sqrt(11) + 2*sqrt(275))*-3)**2. 396*sqrt(11) + 12015 Simplify 4 + 2*(sqrt(60)/sqrt(5) + sqrt(12)). 4 + 8*sqrt(3) Simplify ((sqrt(54) - sqrt(162)/sqrt(3))/sqrt(3))/((sqrt(9)*2 - sqrt(9))*3). 0 Simplify -6*(1*sqrt(175) + sqrt(175)) + -3. -60*sqrt(7) - 3 Simplify 2 + (4 + sqrt(2) - sqrt(2)) + sqrt(24)/(5*sqrt(12)). sqrt(2)/5 + 6 Simplify 6*(-4 + 2*sqrt(17))*-4. -48*sqrt(17) + 96 Simplify ((sqrt(108))**2 + 3 + sqrt(3))*-1 + -4. -115 - sqrt(3) Simplify ((sqrt(60)/sqrt(3))**2 + -4)*-6. -96 Simplify ((1*sqrt(204) + sqrt(204))/sqrt(6))/sqrt(2). 2*sqrt(17) Simplify ((1 + 1 + sqrt(1331) + sqrt(1331))**2 + sqrt(1331) + 2*sqrt(1331) + 5)*2. 242*sqrt(11) + 10666 Simplify (-1*(sqrt(19) + 1 + sqrt(475)))**2*-3. -2055 - 36*sqrt(19) Simplify -2 + sqrt(2057) + -1. -3 + 11*sqrt(17) Simplify 6*(sqrt(7) + 1 + 2 + (((sqrt(7) - sqrt(21)/sqrt(3)) + sqrt(7))*-3)**2) + -1. 6*sqrt(7) + 395 Simplify (sqrt(275) + sqrt(275)*-1*-2)**2*-6. -14850 Simplify 6*(-1 + (0 + sqrt(153) + sqrt(17) + sqrt(17))*3). -6 + 90*sqrt(17) Simplify sqrt(10)/(sqrt(2)*4 + sqrt(2)) + (sqrt(45)*-3)**2. sqrt(5)/5 + 405 Simplify (4*(sqrt(6)*-2 + sqrt(6))/sqrt(3))**2. 32 Simplify (sqrt(68)/(-1*sqrt(4)) - sqrt(17))**2 - sqrt(612)*-2. 12*sqrt(17) + 68 Simplify (sqrt(363) + -4 + -1 + 2)**2. -66*sqrt(3) + 372 Simplify (sqrt(3) - (sqrt(165)/sqrt(5) + sqrt(33))/sqrt(11)) + sqrt(147) + -5. -5 + 6*sqrt(3) Simplify sqrt(95)/(sqrt(20)*2). sqrt(19)/4 Simplify (2*2*sqrt(170))/(sqrt(10) - (sqrt(490) - (1*sqrt(490) - sqrt(490))))*-5. 10*sqrt(17)/3 Simplify 2 + (sqrt(252) + 0 + sqrt(252) + 4 + sqrt(252))**2 + ((sqrt(252) + 0)*-1)**2. 144*sqrt(7) + 2538 Simplify (sqrt(48)*-6)/(sqrt(216)/sqrt(4)). -4*sqrt(2) Simplify (sqrt(2) + 1 + sqrt(10)/sqrt(5))**2*-6. -54 - 24*sqrt(2) Simplify -5 + (sqrt(11) - sqrt(110)/sqrt(160)) + sqrt(22)/(-1*sqrt(2)*1). -5 - sqrt(11)/4 Simplify sqrt(19)*-1*-3 + -1. -1 + 3*sqrt(19) Simplify sqrt(220)/((sqrt(11) - (sqrt(11) + -3*sqrt(539))) + sqrt(11)). sqrt(5)/11 Simplify (-1*sqrt(136))/sqrt(8) - (sqrt(2448)*-1)**2. -2448 - sqrt(17) Simplify (sqrt(900)/sqrt(5) + sqrt(35)/sqrt(63))**2. 1805/9 Simplify sqrt(68) + sqrt(68) + -1 + 0 - sqrt(68). -1 + 2*sqrt(17) Simplify (1 + (sqrt(5) - sqrt(5)*2) + -2*sqrt(245))*3. -45*sqrt(5) + 3 Simplify (sqrt(650)*1 - sqrt(26))/sqrt(2) + ((sqrt(65)*1*-4 + sqrt(65) + sqrt(65))/sqrt(5))**2. 4*sqrt(13) + 52 Simplify (5 + 0 + sqrt(833))**2. 70*sqrt(17) + 858 Simplify -1 + ((sqrt(104) - sqrt(104)*-2 - sqrt(104))/sqrt(8))**2. 51 Simplify sqrt(21)/(sqrt(33)/sqrt(99) - sqrt(3)). -3*sqrt(7)/2 Simplify (sqrt(245) - (-4*(sqrt(245) + 0) + sqrt(245)))**2. 3920 Simplify -5*sqrt(7)*6 + (sqrt(35)/(sqrt(5)*5) - sqrt(7))**2. -30*sqrt(7) + 112/25 Simplify (3*(sqrt(102) - (sqrt(102)*-2 + sqrt(102) - sqrt(102))) - sqrt(102))/(-6*sqrt(96)). -sqrt(17)/3 Simplify (sqrt(117) - (sqrt(117) - (sqrt(117)*-1*-3 - sqrt(117))))/sqrt(9). 2*sqrt(13) Simplify (sqrt(13) + sqrt(13) + (sqrt(13) - (sqrt(117)*2)/sqrt(9)))*5. 5*sqrt(13) Simplify 6*sqrt(132)/sqrt(11). 12*sqrt(3) Simplify 1 + sqrt(363) - sqrt(3) - (-3*sqrt(12))**2. -107 + 10*sqrt(3) Simplify (sqrt(77)/(2*sqrt(1100))*2)**2. 7/100 Simplify 5 + sqrt(180) + 3. 8 + 6*sqrt(5) Simplify (sqrt(133)*4)/sqrt(7) - (sqrt(152) + 3*sqrt(152))/sqrt(8). 0 Simplify (sqrt(84)/(sqrt(4) + (sqrt(4)*-2 - sqrt(4))))/(sqrt(7) + sqrt(49)/sqrt(28)). -sqrt(3)/3 Simplify sqrt(270)/sqrt(6) - (sqrt(10) - sqrt(10)*3)/sqrt(2). 5*sqrt(5) Simplify -1 + (-1*sqrt(19))**2*6 + sqrt(19) + 2 + sqrt(19) + 0. 2*sqrt(19) + 115 Simplify (-2*sqrt(1300))**2 + 5 + (sqrt(1300) + -1)**2*2. -40*sqrt(13) + 7807 Simplify sqrt(170)/(6*(sqrt(20)/sqrt(2) + sqrt(10))). sqrt(17)/12 Simplify (-4*(sqrt(567)*-1*6 + (sqrt(567) - (sqrt(567) + sqrt(567)*1 + sqrt(567)))*5))**2. 2322432 Simplify -1 + -1*sqrt(112). -4*sqrt(7) - 1 Simplify -3 + (sqrt(448) - 1*sqrt(448))*3. -3 Simplify (1 + sqrt(19) + -5 - (5 + sqrt(19) + 0))**2. 81 Simplify (sqrt(450)/sqrt(324))/((sqrt(80) - (sqrt(80) - sqrt(80)*1))/sqrt(8)). sqrt(5)/6 Simplify (sqrt(55) - (sqrt(55) + sqrt(330)/sqrt(294)))/sqrt(5). -sqrt(11)/7 Simplify 5*sqrt(12)*1. 10*sqrt(3) Simplify -3*-5*(sqrt(44) + sqrt(11)). 45*sqrt(11) Simplify (sqrt(396))**2 + -3 + -3*(sqrt(11) + -1). -3*sqrt(11) + 396 Simplify sqrt(76)*2 - (sqrt(1539) + (1 + sqrt(1539))**2). -1540 - 23*sqrt(19) Simplify (2*sqrt(13) + 0)*-1. -2*sqrt(13) Simplify (4*sqrt(13) + sqrt(13) + -1 - sqrt(39)/sqrt(27)) + 2. 1 + 14*sqrt(13)/3 Simplify -4*((sqrt(45)/sqrt(5) + sqrt(9))*6)/sqrt(3). -48*sqrt(3) Simplify sqrt(35)/(3*sqrt(112)). sqrt(5)/12 Simplify sqrt(6)/sqrt(3)*-3 + sqrt(12)/sqrt(24) + 4. -5*sqrt(2)/2 + 4 Simplify 3 + ((1 + sqrt(117))**2 - sqrt(26)/(sqrt(6)/sqrt(3))). 5*sqrt(13) + 121 Simplify (6*(1*sqrt(99) + -3)*-4)**2. -10368*sqrt(11) + 62208 Simplify -5 + (-6*(sqrt(7) + 1))**2. 72*sqrt(7) + 283 Simplify (3*sqrt(704) + -2)**2. -96*sqrt(11) + 6340 Simplify 3*((0 + sqrt(99) + sqrt(99))**2 + 2)*-5. -5970 Simplify ((sqrt(5) - (sqrt(20) + 0 - sqrt(5))) + (sqrt(100)/sqrt(2))/sqrt(10))**2. 5 Simplify -1*((-2*sqrt(612) - sqrt(612))**2 - sqrt(612)). -5508 + 6*sqrt(17) Simplify (sqrt(12)/(sqrt(6) - (sqrt(6) + sqrt(24)/sqrt(4)) - sqrt(6)))**2 + -2 + sqrt(2) + 0. -3/2 + sqrt(2) Simplify (-1 + sqrt(637))**2 + 4 + 5. -14*sqrt(13) + 647 Simplify (sqrt(56)/(2*sqrt(7)))**2. 2 Simplify sqrt(1377) + sqrt(1377) + (-3*sqrt(1377) - sqrt(1377) - sqrt(1377)) + -1 + (-1*sqrt(1377))**2 + 2 + sqrt(1377). -18*sqrt(17) + 1378 Simplify -5 + 3*((sqrt(68)*-2)**2 + sqrt(17) + sqrt(17)*2*-3 + sqrt(17)). -12*sqrt(17) + 811 Simplify (5 + 2*sqrt(50) + sqrt(50))**2 + ((-2*sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200))/sqrt(4). 135*sqrt(2) + 475 Simplify 4*sqrt(475) + sqrt(76)*4 + 0. 28*sqrt(19) Simplify (sqrt(300) - (sqrt(300)*-2)**2) + (sqrt(3)*1)**2*6. -1182 + 10*sqrt(3) Simpli
{ "pile_set_name": "DM Mathematics" }
w*g**2 + b*g and give o. -5126 Express (8 + 54*t**3 - 1 + 52*t**3 - 6)*(-2644 + 15*t + 2644) in the form q*t**2 + i*t + v*t**3 + h + n*t**4 and give n. 1590 Rearrange -3*p**4 + p**4 + 3*p**4 + (-11 + 2 - 6)*(-4 - 2 + 4)*(9*p**4 + 9*p**4 - 28*p**4) to the form b + o*p + c*p**4 + w*p**3 + k*p**2 and give c. -299 Express -15*u**4 + 35*u**4 - 5 - 7 + 44*u**2 + 47*u**2 - 92*u**2 in the form l*u + i + a*u**4 + k*u**2 + r*u**3 and give k. -1 Rearrange 217 - 309*w + 949*w - 316*w - 322*w to s + i*w and give i. 2 Rearrange -100 - 3899*z + 181 + 16767*z - 81 to r*z + u and give r. 12868 Rearrange (489*k**2 + 55*k**2 + 354*k**2)*(-1 - 2 + 1) + 2*k**2 + 0*k + 0*k to the form f*k + y*k**2 + z and give z. 0 Rearrange (-2*o + 0*o - 2*o + (-2*o - o + 2*o)*(-3 + 2 - 1))*(-60 - 488 + 86) to the form i*o + v and give i. 924 Rearrange -18*x - 44 - 3*x + 102 + 5*x - 46 to v*x + z and give v. -16 Rearrange -2*c + 534 - 188 - 60 - 133 - 4*c**3 to the form n*c**3 + d*c**2 + h*c + m and give h. -2 Express (-8431190 + 8431190 + 28430*z)*(2*z**3 + 0*z**3 - 3*z**3) as s*z**2 + c + f*z**4 + u*z + i*z**3 and give f. -28430 Express -28839*q - 7 + 14365*q + 13897*q as k + x*q and give x. -577 Rearrange -2850*g**2 + 1500*g**2 + 856*g**2 - 5009*g**2 to j*g + t + x*g**2 and give x. -5503 Express 3*n + 2*n + 4027*n**3 - n**2 - 4096*n**3 - 5*n - 10 in the form c*n + m + v*n**3 + t*n**2 and give t. -1 Rearrange -20*x + 10*x**3 + 9*x**2 + 67*x - 24*x - 22*x + 6*x**4 to u*x + t*x**3 + c + g*x**2 + m*x**4 and give t. 10 Express -92*y**2 - 92*y**2 - 43*y**2 + 43*y**2 - 24*y**2 - y - 2 - y**3 as r*y**3 + m + s*y + w*y**2 and give m. -2 Express -28*n**2 + 55*n**2 + 1 - 2*n + 48*n**4 - 49*n**4 - n**3 as t*n + m*n**4 + w*n**3 + q + u*n**2 and give w. -1 Rearrange -50*q**2 - 12 + 70*q**2 - 2*q + q**3 - 3*q**2 to the form y*q**2 + h + p*q**3 + s*q and give y. 17 Express 295*x**3 - 889*x**3 + 306*x**3 - x + 304*x**3 + 2*x**2 - 4 as v*x + z*x**2 + h + y*x**3 and give z. 2 Rearrange 20*n - 2248*n - 392*n + 341*n - 927*n to the form j*n + r and give j. -3206 Express (-610*m**2 - 21598*m + 21598*m)*(-36 - 26*m + 36) in the form x*m**2 + f + r*m + d*m**3 and give d. 15860 Rearrange -190*j - 12 + 3 + 4 - 7 + 4 to the form o*j + n and give n. -8 Express 1322*s - 1 + 1 + 3387*s + 81*s as v*s + r and give v. 4790 Rearrange -821*h + 716*h + 1269*h + 1366*h to x + f*h and give f. 2530 Express 240685*i - 482856*i + 240744*i in the form c*i + t and give c. -1427 Rearrange (0*i + i + 0*i)*(2*i + 0*i - 3*i) - i**2 + 4*i**2 - i**2 - 5263*i**2 + 9889 - 9889 + (-1 + 1 - 2*i)*(i + 0*i + 0*i) to j + h*i**2 + r*i and give h. -5264 Rearrange 298 - 306 + 10*w + 4*w**2 - 2*w**2 + w**2 - 6*w**2 to s*w + v + x*w**2 and give x. -3 Rearrange 28*a**3 - 29*a**2 + 132*a - 129*a - 32*a**3 to the form p*a**2 + j + t*a**3 + r*a and give r. 3 Express (0 - 2 + 5)*(0*f - 2*f + f)*(264970 - 264970 + 424*f) in the form w*f**2 + h*f + b and give w. -1272 Rearrange -2*l + 43*l**2 - l - 87*l**2 + 31*l**2 - 23 to the form p*l**2 + w*l + j and give p. -13 Rearrange (5 + 2 - 4 + (1 - 2 + 0)*(-23 - 5 + 14))*(16 - 6*y - 35 + 3*y)*(3*y**3 + 3*y**3 - 4*y**3) to the form n*y**2 + m*y + g*y**4 + a + f*y**3 and give f. -646 Rearrange -25815*c + 25818*c + 7 + 54*c**2 + 34*c**2 to o + v*c + q*c**2 and give q. 88 Rearrange (0 + 0 + 2*o)*(-1 + 3 - 3) + (-26 + 16 - 50)*(7 - 7 - 9*o) + 2 - 2 - 2*o to the form n*o + m and give n. 536 Rearrange -3160 + 3146 + 13*b**2 + 20*b**4 - 24*b**4 - 5*b to the form d*b**3 + y*b**4 + o*b + x + r*b**2 and give r. 13 Rearrange 13673 + 6791*y - 27348 - 1284*y + 13675 to the form u + o*y and give o. 5507 Express 110*z + 24 - 14 + 22 + 2 as m*z + p and give m. 110 Rearrange -j**2 - j**3 - 49*j + 52 + 50 - 99 - 81*j + 16*j**4 - 17*j**4 to the form d*j**2 + l*j + s*j**3 + a + v*j**4 and give l. -130 Express (-10 - 1 - 18)*(-3 + w + 3) + (-6*w + 11*w + 11*w)*(-1 - 1 + 3) as s*w + g and give s. -13 Express (-2*w + 5*w - 2*w)*(-4*w + 2*w + 3*w)*(85 - 138 - 498)*(-2 + 4 - 1) in the form m + b*w + h*w**2 and give h. -551 Rearrange -105*y**2 - 119*y**2 - 119*y**2 + 341*y**2 + 9 - 9*y to the form z*y**2 + q + j*y and give z. -2 Express 100 + a + 111 + 441 - 2*a**2 - a**3 as t + k*a**3 + u*a + r*a**2 and give k. -1 Express 285643 - j - 20*j**2 + j - 285582 as z + y*j**2 + v*j and give z. 61 Rearrange -852*g - 2195*g + 5455*g to the form x*g + b and give x. 2408 Express 6983*n**2 - 1748*n**2 - 1746*n**2 + 3277 - 1747*n**2 - 1746*n**2 + (7*n - n - 4*n)*(-2*n + n - 2*n) as w*n**2 + r + i*n and give r. 3277 Rearrange (25 + 66 + 79)*(-2*a**3 - 3*a**3 + a**3) to the form v + i*a**3 + m*a + u*a**2 and give i. -680 Express -198*w**2 + 124*w + 51*w + 31*w - 1 + 99*w + 196*w**2 in the form b*w + c + o*w**2 and give c. -1 Express (2 - 2 - 60)*(2 - 2 + 4*i) + 2*i + 0*i + i in the form t*i + m and give t. -237 Express 3 + 38*m**2 + 6*m**2 + 79*m**3 - m - 21*m**2 - 21*m**2 - 2 as r*m + q + y*m**2 + d*m**3 and give q. 1 Express -16073*s**2 - 4085843*s + 4085843*s as u*s**2 + g*s + v and give g. 0 Express (2560 + 5253 + 10300 - 3943)*(-4 + 4 - 2*v) in the form c*v + g and give c. -28340 Rearrange 1038*l + 1959*l - 1826*l to h + k*l and give k. 1171 Express (3*v + 9049 + 3165 - 1144)*(-3 + 2 + 0) in the form o*v + z and give o. -3 Rearrange (-21 - 11 - 22)*(63*w - 125*w + 56*w) to p + n*w and give n. 324 Rearrange (-3 + 2 - 2)*(-118*n**2 + 94*n**2 - 239 + 230) to s + w*n**2 + y*n and give s. 27 Express -2*c + 384*c**2 + 40 + 6 - 51 - 119*c**2 + 6 in the form k + b*c + i*c**2 and give k. 1 Rearrange (2*o + 3*o - 2*o)*(-13021 - 9785 + 2472 + 5443 - 8660) + o + o - o to x*o + h and give x. -70652 Express -94804 + 2559*q + 94804 + 1665*q as h*q + r and give h. 4224 Rearrange 2632*t**2 + 6940*t**2 - 976*t**2 - 71*t**2 to g*t**2 + b + o*t and give g. 8525 Express (8*n + 21*n**2 + n - 7*n)*(-334 + 319 - 534 - 451 - 361) in the form k*n + r + m*n**2 and give k. -2722 Rearrange -900 + 0*w - 4*w + 1805 - 264*w**2 - 907 - w to the form o*w**2 + d*w + t and give t. -2 Express (-2 + 2 - g)*(783 - 3054 - 302 - 768 + 781) in the form z*g + x and give z. 2560 Express 28216*y**4 - 28218*y**4 - 6*y + 214 - 71 in the form f*y**2 + n*y**4 + k + q*y + m*y**3 and give k. 143 Rearrange -5*j**3 + j**3 + 2*j**3 + (-4*j + 5*j - 4*j)*(-269*j**2 + 997*j**2 - 364*j**2) to c*j**2 + p*j**3 + b*j + l and give p. -1094 Express (-36471 + 4*b**2 + 32*b + 36471)*(-4*b - 2*b + 4*b) in the form w + y*b**3 + i*b + a*b**2 and give y. -8 Rearrange -336*z + 3*z**2 + 2*z**2 - z**2 + 14*z**2 + 393*z to v + n*z + y*z**2 and give n. 57 Express (-35*g**4 + 12*g**4 - 17*g**4)*(-14 + 5 + 2)*(1 + 25 + 6 - 5 + 7) in the form t*g**4 + q*g + u*g**2 + a*g**3 + d and give t. 9520 Rearrange (-2 + 2 - 2)*(-x + x + 2*x) + x - 11*x - 2*x + 2*x + 2*x - 5*x + (123*x - 66*x - 55*x)*(2 + 1 - 2) to the form z + b*x and give b. -15 Rearrange -339 + 660*t - 1318*t + 662*t to g + p*t and give g. -339 Express l**2 + 4019 - 4023 - 93*l - 127*l as g*l**2 + z + h*l and give h. -220 Rearrange (19 - 3 - 5)*(-19*n - 3114*n**2 + 62*n - 22*n - 21*n) to the form t*n + a + v*n**2 and give v. -34254 Express -1081*m**2 + 530*m**2 + 360 - 2*m + 557*m**2 in the form n*m**2 + o*m + l and give n. 6 Rearrange -36*i + 31*i + 56*i - 2 + (-3*i - i + 5*i)*(0 - 3 + 2) - 1 + 3*i + 1 to r + u*i and give u. 53 Rearrange ((3*l + 4*l - 8*l)*(7 + 4 - 2) + 3*l + 14 - 14)*(-3 + 3 - l**2) to the form a*l**3 + d*l**2 + h + b*l and give a. 6 Rearrange 4626 + 4610 + 20*h - 9243 to b*h + x and give b. 20 Rearrange (-40 - 46 - 98)*(-31*a + 75*a + 22*a) to the form m + d*a and give d. -12144 Rearrange 1076 - 2149 + 14*g + 1073 + 124*g to the form a*g + r and give a. 138 Express 1106*b + 3729*b + 2126*b as g + v*b and give v. 6961 Rearrange 494*i + 1863 - 5582 + 1860 + 1859 to the form x*i + s and give x. 494 Express -3*c**2 + 13*c**3 + 21*c**3 + 18*c**3 + 8 - 8 + 7*c in the form a*c + k*c**3 + m + g*c**2 and give k. 52 Express 111*k - 2 + 2*k**4 + 156*k + 108*k**2 - 299*k + 122*k in the form v*k**3 + g + l*k**2 + r*k + z*k**4 and give g. -2 Rearrange (-12 + 12 - 4*i)*(0 - 2 + 0)*(6*i + 0*i - 4*i + (-2*i - i + 0*i)*(-3 + 0 + 2) - 5*i - i - i) to z*i**2 + p + o*i and give z. -16 Express 21*z + 48 - 90 - 14 as m + g*z and give g. 21 Rearrange
{ "pile_set_name": "DM Mathematics" }
3. Suppose 6 - 18 = -4*y, 4*i = -3*y + 29. What is m(i)? -8 Let n(p) be the first derivative of 2*p**3/3 + 3*p**2 - 10*p + 354. Determine n(-7). 46 Let b(c) be the first derivative of c**3/3 + c**2 + 2*c - 22. Let w be (-231)/35 + (-4)/10. Let p = w - -5. What is b(p)? 2 Suppose 4*h - 2*h + 44 = 0. Let g = -15 - h. Let w(d) = 0*d + d - 2*d + g + 1. What is w(4)? 4 Let s(v) = -2*v**3 + v**2 + 6. Let m(y) = -y**3 + y**2 + 6. Let q(b) = -3*m(b) + 2*s(b). Give q(0). -6 Let c(g) = 9*g - 13. Let b(i) = -14*i + 20. Let o(z) = 5*b(z) + 8*c(z). Suppose 0 = -5*t - 2*p + 47, -p + 59 + 3 = 8*t. Calculate o(t). 10 Let l(q) be the second derivative of q**4/12 + q**3/6 + 5*q**2/2 + 3*q + 3. Let n be (1 - 3/6)*0. Let x be 0*(n/(-1) + -1). Calculate l(x). 5 Let t(n) = -n**3 + 14*n**2 + 15*n + 7. Suppose -596*p + 210 = -582*p. What is t(p)? 7 Let i = -53 - -49. Let h be (i/(-4))/(1/7). Let n(t) = t**2 - 6*t - 6. Determine n(h). 1 Let a(b) = -2*b**2 + 6*b - 4. Let s(z) = z**2 - 2*z + 1. Let f(y) = -a(y) - 4*s(y). Calculate f(1). 0 Let o(i) be the second derivative of i**4/12 + i**3/6 - i**2 + 2*i - 465. What is o(3)? 10 Suppose 98 - 113 = -5*n. Let d(r) = -r**3 + 3*r**2 + 2*r - 2. Let i be d(n). Let m(p) = -p + 8. Calculate m(i). 4 Let i(j) = j**3 + 3*j + j - 3*j + 8*j**2 - j + j + 19. Calculate i(-8). 11 Let u be ((-48)/(-42))/((-14)/(-49)). Let c(q) be the first derivative of q**2 + 5*q + 5 - 5/3*q**3 + 1/4*q**u. Determine c(5). 15 Let z = -15 - -16. Let q = z + -9. Let l(b) = b**3 + 9*b**2 + 9*b + 5. Let y be l(q). Let g(w) = 2*w**2 + 3*w - 2. Calculate g(y). 7 Let p = 194 - 206. Let m(v) = v - 11. Give m(p). -23 Let x(l) = -6 - 10 + 5 + 7 - 3*l. Calculate x(-2). 2 Let k(o) be the second derivative of -25/2*o**2 - 1/12*o**4 + 1/20*o**5 - 40*o + 0 - 1/6*o**3. Give k(0). -25 Let k(c) = -c**2 + 2 + 4*c - 2 - c - 3. Let n(j) = -2*j**2 + 7 - 7*j + 2*j**2 + 2*j**2. Let s(f) = -7*k(f) - 3*n(f). Give s(2). 4 Let s(u) = -9*u**2 + u + 1. Let p be 88/40 - (-2)/(-10). Suppose 0 = p*f + b + 2, 2*f - 5*b = -f - 3. Determine s(f). -9 Let x(u) = -2*u**2 - 95*u - 305. Let b be x(-44). Let d(h) = 6*h - 20. Determine d(b). -2 Suppose 4*z - 5*z = -g + 5, 0 = -3*g - 3*z + 3. Suppose g*w - s = 4, -5*w - 4 = 4*s - 22. Let l(q) = 5*q**2 - 2*q - 1. Give l(w). 15 Let l = -31 + 31. Let b be l*(0 - 2/6). Let q(z) = z**2 - z + 12. Give q(b). 12 Suppose 0 = 2*m + 5*i - 10, 35 = 5*m - 5*i + 10. Let b(o) = 30*o - m*o**2 + 6*o**2 - 34*o + 3 - 3*o**2. Determine b(2). -13 Suppose 0 = -4*b - g + 6, -13*b + 2 = -14*b - 2*g. Let f(x) = 2*x**2 + 2*x + 2. What is f(b)? 14 Let l be -1 - (5 - (-45)/(-6)). Let b(t) be the first derivative of 3 + l*t**2 + 5*t - 1/3*t**3. Give b(6). -13 Suppose 5 = -16*u - 27. Let m(p) = -p**2 + p + 4. Determine m(u). -2 Suppose -28 = 12*y - 4. Let s(g) = 2*g - 2. Let f(l) = l - 1. Let u(p) = y*s(p) + 5*f(p). Suppose w - 25 = 6*w. Calculate u(w). -6 Suppose -20*x = -106 - 74. Let g(m) = -m + 3. Give g(x). -6 Suppose -4*h + 6 = 4*d - 10, 3*d - 8 = -5*h. Suppose 0 = -z - 4*t - d, 2 - 1 = -z + t. Let n(l) = l**3 + 2*l**2 + 2. Give n(z). 2 Suppose -2 = 2*f - 8. Let k(o) be the first derivative of 1/4*o**4 + 2*o + 0*o**2 + 1 + 1/3*o**f. Determine k(-2). -2 Let u(b) = b**3 - 9*b**2 - 8*b - 10. Suppose 48*m + 16*m - 640 = 0. Calculate u(m). 10 Let y(n) = 2*n**3 + n**2 - 3*n. Let c(j) = -5*j**3 - 8*j**2 + 15*j - 1. Let r(v) = c(v) + 4*y(v). Calculate r(2). 13 Let t(s) = s + 11. Let c be t(-5). Suppose -3 = -c*g + 3. Let v(o) = -13*o**3 + o**2 - o. Determine v(g). -13 Suppose -4*j = -4*s + 48, 5*j - 16 + 76 = 3*s. Let x be 20/6*(-18)/j. Suppose -b = -x - 2. Let w(f) = -f**2 + 7*f + 2. What is w(b)? 2 Let s(k) be the first derivative of -k**3/3 - 11*k**2/2 + 5*k - 59. What is s(-11)? 5 Let k(n) = -8*n - 1. Let x(q) = 22*q + 11. Let b(r) = -3*k(r) - x(r). Determine b(-13). -34 Suppose 0 = -36*b + 3*b. Let l(j) = 2*j - 9. Determine l(b). -9 Let h(t) = 9 - 2*t**2 - t**3 - 3*t - 9. Let w = -64 + 95. Let c = -33 + w. Give h(c). 6 Let y(n) be the first derivative of -n**2 + 2*n - 55. Let o = -4 - 2. Give y(o). 14 Let q(g) be the third derivative of -1/4*g**4 - 1/120*g**6 - 7/60*g**5 - 1/3*g**3 - g**2 + 0 + 0*g. Let c be (-3)/(-1) + 72/(-8). Determine q(c). -2 Let l(g) = g**3 - 11*g**2 - 10*g - 2. Let w be l(12). Let k(d) = w*d - 45*d + d**2 + 22*d. Suppose -4*y + 14 = 4*p - p, -3*p - y = -8. Give k(p). 2 Let p(f) = f**2 - 23*f - 56. Let x be p(25). Let c(q) = -13 + 2 - 2*q + 3 + 2. What is c(x)? 6 Let i be (-4)/6*18/(-4). Let s(q) = q**2 - 3*q + 2. Give s(i). 2 Let r = -2585 + 2591. Let v(j) = 2*j - 5. What is v(r)? 7 Suppose -4*y - t + 55 = 0, 0*y + 2*t = 2*y - 30. Suppose -16 - y = 5*p. Let j(r) = r**2 + 4*r - 4. Give j(p). 8 Suppose 3*n - 2*r = -0*n - 1, -8 = 2*n - 5*r. Let i(y) = 2*y**3 + 2*y**2 - 1. What is i(n)? 3 Suppose 23*a - 26*a = -6. Suppose 4*j = 5*d + 12, 0 = -d - 4*d + a*j - 16. Let l(r) = 4*r - 1. What is l(d)? -17 Let c(u) = -u**3 - 5*u**2 - 5*u + 3. Let v be (-8 - 0) + (2 - 1). Let s(o) = 2*o**3 + 31*o**2 + 16*o + 18. Let g be s(-15). Let b = v + g. Give c(b). 7 Let p be (-8*(6 + -4))/(-2). Suppose -4*f = -p, 0 = 4*b + f - 5*f - 4. Suppose b*h = -4*z, -2*h + 7*h = 4*z. Let w(n) = -n**2 + n + 17. Give w(h). 17 Let t(g) = -g - 1. Suppose -3*y + k + 2 = 7, 2*y = 4*k. Let n be t(y). Let r(p) be the first derivative of -p**2 + 14. Determine r(n). -2 Let x(a) = -a + 26. Let g be x(19). Let r(m) = 5 + m - 3 - g - 8. Determine r(6). -7 Let s(w) be the third derivative of w**6/120 + w**5/30 - 2*w**3/3 + 89*w**2 + 2. Calculate s(3). 41 Suppose 0 = -3*d + 1 - 16. Let p(u) = 11*u - 12. Let k(w) = 9*w - 12. Let x(t) = 6*k(t) - 5*p(t). Give x(d). -7 Let w(k) = k**2 + 7*k - 11. Suppose 85*t - 72*t = -104. What is w(t)? -3 Let q(n) = 3*n**2 + 2*n - 5. Let h be q(-3). Suppose 5*k - h = k. Suppose -k*b = -b + 9. Let f(p) = p**2 + 3*p - 1. Determine f(b). -1 Let q(o) = 2*o**2 - 20*o + 35. Let v be q(8). Suppose 4*t = -t + 60. Let m(d) = t + 3*d - v - 3*d - 2*d. What is m(6)? -3 Let a(n) = -19*n + 239 - n**3 + 23*n - 2*n**2 - 240. Give a(-3). -4 Let h(b) = 5*b**3 + b**2 - b - 1. Suppose -3*c - 14 + 26 = 0. Suppose 4*g - c*p + 6 = -2, 4*p = 4. Calculate h(g). -4 Let x(z) be the third derivative of -z**4/24 + z**3/2 + 6*z**2 + 2*z. What is x(5)? -2 Let p(t) = t + 8. Let a(z) = z**3 - 11*z**2 - 2*z + 17. Let n be a(11). Determine p(n). 3 Let f(j) = -56*j + 13. Let k(i) = -24*i + 6. Let w(g) = 4*f(g) - 9*k(g). Give w(-1). 6 Let c(z) = -3. Let o(l) = -7*l + 19. Let h(v) = -5*c(v) + o(v). Give h(4). 6 Let c(k) be the second derivative of -7*k**4/12 - k**3/6 + k**2 + 44*k. What is c(2)? -28 Suppose 30 = 2*v + 8*v. Let w(x) = -x**3 + x**2 + x - 3. Determine w(v). -18 Let z(y) be the second derivative of -1/6*y**3 + 0*y**2 - 4*y - 1/6*y**4 + 0. Give z(2). -10 Let q = 4 - -5. Suppose -5*d = -2*d - q. Let t(n) = -17*n + 8. Let i(m) = -6*m + 3. Let x(k) = -8*i(k) + 3*t(k). Give x(d). -9 Let x(c) be the third derivative of -c**6/40 - c**3/6 - 82*c**2. Give x(1). -4 Let r = -21 - -20. Let d(g) = -119*g. Let f be d(-1). Let x(j) = 119 - 2*j - f. What is x(r)? 2 Let d(h) = 4*h**2 + 64*h - 45. Let j(w) = -w**2 - 15*w + 11. Let t(q) = -2*d(q) - 9*j(q). What is t(-11)? 35 Let g(m) be the first derivative of m**4/4 + 5*m**3/3 - 5*m**2/2 - m - 35. Determine g(-5). 24 Let z = 2 + -4. Let p be (-4)/(-2) + 8/z. Let h(c) = 2*c**3 - 5*c. Let m(u) = -9*u**3 + u**2 + 25*u + 2. Let f(j) = -5*h(j) - m(j). Calculate f(p). 2 Suppose 15*q + 12 = -18. Let u(m) = 2*m**2 - 3. Calculate u(q). 5 Let a be -15 + 17 - 10/5. Let r(f) = f**3 + 2*f. Determine r(a). 0 Let b(i) = -15*i**2 + i + 5. Let d(q) = 14*q**2 - q - 4. Let y be -3 + 2/10 + (-88)/40. Let n(k) = y*d(k) - 4*b(k). What is n(-1)? -11 Let h = -7 + 13. Let d(q) = q - 1. Let i(y) = -6*y + 2. Let v(g) = -4*d(g) - i(g). Determine v(h). 14 Let h(w) = w**3 - 3*w**2 + w. Suppose -3*d - 4*j - j = -17, -3*j - 13 = -4*d. Let f = -2 - -15. Suppose -2*z = -4*s + d, s - 2*s + 4*z - f = 0. Calculate h(s). 3 Let h be (-25)/10 + (-7)/(49/(-28)). Let u(m) be the first derivative of -2 + h*m**2 - m. What is u(-1)? -4 Suppose -9 = -4*t + 7. Suppose -3*h + t*h = 3. Let p(b) = b**2 + b**2 - 7*b - 3*b**2 - h - 2. What is p(-4)? 7 Let u(b) = 3*b - 9. Let p(d) = d - 2. Let t(q) = -17*
{ "pile_set_name": "DM Mathematics" }
imal places. 14 Let z = -5154.14 + 5113. Let g = -41 - z. Round g to 1 decimal place. 0.1 Let s = 507019637.80849 - 5515.80849. Let g = -507014100.00000028 + s. Let f = g - 22. Round f to seven dps. -0.0000003 Let t = -30 - -35. Suppose t*n - 6336 - 13164 = 0. What is n rounded to the nearest one thousand? 4000 Suppose -y + 0*y + 5 = 0. Suppose -3 = b, 3*c + y*b - 69694 - 62291 = 0. What is c rounded to the nearest ten thousand? 40000 Let q = -63643.3 + 63752.2788. Let l = -109.69 - -0.69. Let t = l + q. What is t rounded to three dps? -0.021 Suppose 0 = 4*d + 1503 + 3021. Let x be 0 + 1 - (2 + d). What is x rounded to the nearest one hundred? 1100 Let k = 625 - 403. Let p = -77 + k. Let y = 145.162 - p. What is y rounded to 2 dps? 0.16 Let l = -76115.8 - -76115.89999952. Let i = 2.1 - 2. Let t = i - l. Round t to 7 decimal places. 0.0000005 Let k = -4.51 - -4.51000702. Round k to six dps. 0.000007 Let a = -542 - -773. Suppose 0 = -v + m + a, 4*v - m + 0*m - 909 = 0. What is v rounded to the nearest ten? 230 Let j = -574281 + 574281.610198. Let u = -0.61 + j. Round u to 4 dps. 0.0002 Let f = -1.11 + 1.168. Let o = f + -0.0579695. What is o rounded to 6 decimal places? 0.000031 Let a = -27 - -48. Let x = a - 20.32. What is x rounded to 1 decimal place? 0.7 Let a = 287 - 13097. Round a to the nearest 1000. -13000 Let g = -834 - -2464. What is g rounded to the nearest one hundred? 1600 Let m = -436.0000742 - -436. What is m rounded to six decimal places? -0.000074 Let n = 0.220673 + -9.798373. Let t = 9.196 + n. Let s = t + 0.38. Round s to three decimal places. -0.002 Let h = -0.2 - -3.8. Let i = h - 8.3. Let l = i - -0.4. Round l to the nearest integer. -4 Let o = -872 - -493. Let k = 395.14 + o. Let z = -16 + k. What is z rounded to 1 dp? 0.1 Let b be -9897*31*4/6. Let p = 264563 + -124025. Let n = p + b. What is n rounded to the nearest 10000? -60000 Let n = -87 - -60. Let y = n - -63. Let l = -34.85 + y. What is l rounded to 1 decimal place? 1.2 Let x = 74.7000299 - 74.7. What is x rounded to 6 dps? 0.00003 Let p = -4.301 + 2.69. What is p rounded to the nearest integer? -2 Let u = 3.5208 - 3.209. What is u rounded to 2 dps? 0.31 Suppose 0 = -4*c + 3*j - 2, -4*j - j = 10. Let w be ((-8)/(-10))/(c/(-5)). Suppose -w*x - 492 = -4*v, -252 = 2*x - x - 4*v. Round x to the nearest 100. -200 Let y = -231.558177 - -0.122177. Let r = 231 + y. Let a = 0.016 + r. What is a rounded to one dp? -0.4 Let w(m) = -37*m - 8059. Let d be w(0). What is d rounded to the nearest 100? -8100 Let r = 3377 + -3298.92. Let w = r + -0.08. Let o = w - 78.66. Round o to one decimal place. -0.7 Let h = -14.96 + -0.04. Let n = h - -14.999974. What is n rounded to 5 dps? -0.00003 Let q = 1441.398 - 1445. What is q rounded to one decimal place? -3.6 Let a = 0.9 - 0.9. Let b = 1.6 + a. Let x = b + -1.6000025. Round x to 6 dps. -0.000003 Suppose 3*h - 5*h + 6 = g, -4*h + 2 = -3*g. Suppose 3*k = -g*r + 781 + 939, -3*r = -2*k + 1164. Round k to the nearest 100. 600 Let f(s) = -s**3 - 13*s**2 - 13*s - 4. Let q be f(-12). Let z be 5152002/q + 5/(-20). Suppose 0*h - 4*h + z = 0. What is h rounded to the nearest 10000? 160000 Let k = 14033960 - 23469960. What is k rounded to the nearest one hundred thousand? -9400000 Let t = 1.700002112 + -1.7. What is t rounded to seven dps? 0.0000021 Let b(r) = 2*r + 15. Let s be b(-12). Let c = -7 - s. Let t be 47 + (c/(-2) - -1). Round t to the nearest ten. 50 Let x = 39 - 70. Let b = 61.7 - 28. Let y = x + b. What is y rounded to zero decimal places? 3 Let w = -1620 - -1620.00000911. Round w to 6 dps. 0.000009 Let l = 289.7 - 299.704. Let g = 10 + l. Let q = g + 0.063. What is q rounded to two dps? 0.06 Let h = 0.47 + 67.53. Let u = h + -66.73. Let x = 0.13 - u. Round x to one dp. -1.1 Let l = -27.4 - -26.908. What is l rounded to one decimal place? -0.5 Let c = 64.94 - -1.06. Let s = 1158838.835 - 1158904.83499967. Let u = s + c. Round u to seven decimal places. 0.0000003 Let b = -0.0658 + -77.0342. Round b to the nearest integer. -77 Suppose -1116787 - 236233 = -3*i + 5*m, 4*m + 902016 = 2*i. What is i rounded to the nearest 10000? 450000 Suppose -6 = i + 2*i. Suppose -2*x = 18 + 2. Let w be x/(-3)*i*213. Round w to the nearest 100. -1400 Let a = -38.99999408 - -39. What is a rounded to 7 dps? 0.0000059 Suppose 4*t + 42*f = 38*f - 26268008, 3*t - 5*f = -19700990. Round t to the nearest one million. -7000000 Let w = 39032294 + -6432294. Round w to the nearest 1000000. 33000000 Let q = 22.8 - 21. Let o = q - 88.8. Let g = o + 86.9999894. What is g rounded to six dps? -0.000011 Let g = 21 + -18. Suppose -g - 2 = -l. Suppose 0 = l*c + b - 4*b + 209, -c - 55 = -5*b. What is c rounded to the nearest 100? 0 Let b = 2042 + -2041.999698. What is b rounded to four decimal places? 0.0003 Let n = 0.0828 - -53.6072. What is n rounded to zero dps? 54 Let t = 13 + -24. Let u = 8 + t. Let n be (-5489997)/9 - (-1)/u. What is n rounded to the nearest one hundred thousand? -600000 Let d = 0.29 - 0.027. Let f = d + -0.2630129. Round f to six dps. -0.000013 Let z = 2937.0005001 + -2871.3774. Let k = -92.3768936 - z. Let s = k - -158. Round s to 6 dps. 0.000006 Let l = -1582.996508 + 1583. What is l rounded to 3 dps? 0.003 Let c = -250.0000816 + 250. Round c to five dps. -0.00008 Let c(z) = z**3 + 6*z**2 + z + 9. Let p be c(-6). Suppose -2*l - l = 2*x - 2051, 0 = -5*x + p*l + 5096. Round x to the nearest 100. 1000 Suppose 0 - 33 = -3*p + 3*g, -g + 49 = 4*p. Suppose 9*r - p*r + 3 = 0. Let m(d) = 1440000*d**2 - d + 1. Let i be m(r). Round i to the nearest 100000. 1400000 Let t = -29.54956 - -0.54926. Let m = 29 + t. Round m to three decimal places. 0 Let z = -16813.977 - -353.817. Let g = z - -16446.16001. Let m = g - -14. What is m rounded to four decimal places? 0 Let m = -451 - -450.999998205. What is m rounded to seven decimal places? -0.0000018 Let g = 715657 - -1384333. Suppose -4*m + 6300008 = 3*s, 4*m + g = s - m. What is s rounded to the nearest one million? 2000000 Let h = -0.57855 + 0.534. Round h to three dps. -0.045 Let w = -838 + 2484. Let f = 1604.68 - w. Let g = f + 42. Round g to 1 decimal place. 0.7 Let v = -0.32092 + 0.318. Round v to 4 decimal places. -0.0029 Suppose -974 = 7*s + 13593. Round s to the nearest 100. -2100 Let b(z) = 7*z - 129. Let j be b(19). Suppose 9 = r + 2*s, -4*s + 17 - 2 = r. Suppose j*o - 63572 = -r*l + 74408, 25 = -5*o. Round l to the nearest 10000. 50000 Let m = -223 - -159. Let a = -6197372778 + 6197372842.00000062. Let x = m + a. Round x to seven decimal places. 0.0000006 Let d = -2.6999527 - -2.7. What is d rounded to six decimal places? 0.000047 Let h(f) = f**3 + 6*f**2 - 5*f + 5. Let q = -3 - 4. Let k be h(q). Let v be 12336/k + 6/9. Round v to the nearest 100. -1400 Let k = 0.06572 - 0.064. What is k rounded to 3 decimal places? 0.002 Let o = 0.013357 + -0.02645. What is o rounded to 3 dps? -0.013 Let v = -0.7 + 1.23. Let y = v + 1.02. Round y to one decimal place. 1.6 Let k = -221 - -220.999999791. What is k rounded to 7 dps? -0.0000002 Suppose 9094 + 1606 = -5*w. Round w to the nearest one thousand. -2000 Let j = -418 + 248. Let w = j - -84. Let r = -86.0000057 - w. What is r rounded to 6 dps? -0.000006 Let u = 1.6623 - 0.7576. Let b = u - 0.9. What is b rounded to 3 decimal places? 0.005 Let f = -123 - -246. Let k = -79 + f. What is k rounded to the nearest 10? 40 Let r = -119.8 - -11.8. Let x = -106.79 - r. Round x to 1 dp. 1.2 Let f = 157781.947 - 157875. Let z = f + 93. Let l = z - 0.039. What is l rounded to 2 dps? -0.09 Suppose 0 = 5*s - 2*j - 296048, 5*s - 86577 = 5*j + 209468. What is s rounded to the nearest 10000? 60000 Let f = -7.89 + -0.11. Let b = 6.2 + f. Let s = b + 0.2. What is s rounded to 0 decimal places? -2 Let c = 1361112.199898 - 1361111. Let a = c + -1.2. What is a rounded to 5 dps? -0.0001 Let h = 25 + 10. Let o = h + -35.196. What is o rounded to two dps? -0.2 Let o = -0.19298197 + 0.193. Round o to 6 decimal places. 0.000018 Let g(t) = -237*t**2 - 6*t - 5. Let o be g(-5). What is o rounded to the nearest one thousand? -6000 Let f(c) = -c**2 - 7*c + 108. Let l be f(-10). What is l rounded to the nearest one hundred? 100 Let o = 2050482813394522.9999937 + -2050483216873625. Let u = o - -
{ "pile_set_name": "DM Mathematics" }
lculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 3, z: 5, e: 3}. 9/55 Three letters picked without replacement from tttttktkt. What is prob of picking 1 t and 2 k? 1/12 Two letters picked without replacement from gzzpaapzpzza. Give prob of picking 2 a. 1/22 Three letters picked without replacement from {j: 1, g: 1, w: 1, c: 2, q: 1, h: 1}. Give prob of picking 2 c and 1 g. 1/35 What is prob of picking 1 u and 2 w when three letters picked without replacement from {v: 3, l: 3, w: 2, e: 1, m: 4, u: 2}? 2/455 Two letters picked without replacement from {e: 5, w: 8, p: 7}. What is prob of picking 2 e? 1/19 Three letters picked without replacement from {l: 1, c: 1, d: 1, g: 1, m: 1}. What is prob of picking 1 g, 1 d, and 1 m? 1/10 What is prob of picking 1 j and 1 a when two letters picked without replacement from {j: 3, y: 4, l: 1, s: 1, a: 1, z: 5}? 1/35 What is prob of picking 1 o and 2 b when three letters picked without replacement from {m: 2, g: 4, z: 5, h: 4, b: 2, o: 2}? 2/969 What is prob of picking 3 w and 1 v when four letters picked without replacement from {w: 4, v: 14}? 14/765 Four letters picked without replacement from eomoeieeemmmeoeeeeme. Give prob of picking 2 m, 1 e, and 1 o. 22/323 Two letters picked without replacement from {p: 6, x: 2, d: 4}. Give prob of picking 1 p and 1 x. 2/11 What is prob of picking 2 r when two letters picked without replacement from {s: 1, r: 4, w: 1, c: 1, i: 1}? 3/14 Calculate prob of picking 2 q and 1 f when three letters picked without replacement from qlqffqqqll. 1/6 Four letters picked without replacement from ccccqqqcylcccc. What is prob of picking 3 q and 1 l? 1/1001 Four letters picked without replacement from mvdvddddqqqqdd. What is prob of picking 1 m, 2 q, and 1 v? 12/1001 Two letters picked without replacement from ngcvvvvnd. Give prob of picking 1 n and 1 v. 2/9 What is prob of picking 1 s and 3 x when four letters picked without replacement from {a: 1, o: 1, j: 2, x: 4, s: 3}? 2/55 Calculate prob of picking 1 h, 1 i, and 1 p when three letters picked without replacement from hhhpiphhhhphihhhih. 9/68 What is prob of picking 1 y and 2 e when three letters picked without replacement from weeyeeweewewnewe? 9/140 Calculate prob of picking 3 h and 1 r when four letters picked without replacement from hhrhfrfhhhhhfhrhhh. 11/51 Four letters picked without replacement from kkaooooooaoo. What is prob of picking 2 a and 2 k? 1/495 What is prob of picking 2 b when two letters picked without replacement from {b: 2, l: 2, o: 1, c: 5, r: 5, a: 2}? 1/136 Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {g: 1, m: 1, u: 1, h: 1, a: 1}. 1/10 Three letters picked without replacement from bbbbqqqb. Give prob of picking 1 b and 2 q. 15/56 Three letters picked without replacement from nafnqfqnnnnf. Give prob of picking 2 n and 1 a. 3/44 Two letters picked without replacement from jpzdq. What is prob of picking 1 p and 1 j? 1/10 Four letters picked without replacement from qfcccff. Give prob of picking 2 f and 2 c. 9/35 Four letters picked without replacement from {m: 3, y: 3, n: 6, a: 6}. What is prob of picking 1 m and 3 y? 1/1020 Two letters picked without replacement from iicc. What is prob of picking 2 c? 1/6 Calculate prob of picking 3 e and 1 o when four letters picked without replacement from jejjeeojewj. 2/165 Calculate prob of picking 2 z when two letters picked without replacement from {h: 14, k: 1, z: 5}. 1/19 Four letters picked without replacement from {l: 4, o: 2}. What is prob of picking 2 o and 2 l? 2/5 Three letters picked without replacement from mbbzmhhohmzzbzzz. What is prob of picking 3 m? 1/560 What is prob of picking 1 x and 1 j when two letters picked without replacement from {u: 1, w: 3, r: 3, j: 1, x: 3}? 3/55 Calculate prob of picking 1 s, 2 r, and 1 e when four letters picked without replacement from resehrrerri. 1/11 Three letters picked without replacement from efsffseqsf. Give prob of picking 1 e and 2 f. 1/10 Two letters picked without replacement from {l: 2, q: 2, n: 4}. Give prob of picking 1 q and 1 n. 2/7 What is prob of picking 1 j and 1 p when two letters picked without replacement from jjjjjjypsxksjjjjjy? 11/153 Two letters picked without replacement from hivbbil. Give prob of picking 2 b. 1/21 Three letters picked without replacement from lmllmmm. What is prob of picking 3 l? 1/35 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, f: 1}. 1/3 Calculate prob of picking 1 t, 1 o, and 1 a when three letters picked without replacement from oaaatitaitaaaaaitata. 11/228 Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {k: 1, x: 1, b: 2, s: 1, e: 1, a: 2}. 1/56 What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 5, f: 2, x: 3}? 1/3 What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 18}? 153/190 Calculate prob of picking 2 r when two letters picked without replacement from brrrrerrrrrreer. 11/21 Two letters picked without replacement from pvppvpaavpvp. What is prob of picking 2 p? 5/22 Two letters picked without replacement from dazzzzdaadqdddz. Give prob of picking 2 z. 2/21 What is prob of picking 2 i and 2 o when four letters picked without replacement from oimiiiuigugoui? 15/1001 Two letters picked without replacement from vyvvvvvvyyvvvv. Give prob of picking 2 y. 3/91 Calculate prob of picking 2 l and 2 v when four letters picked without replacement from lyvvly. 1/15 What is prob of picking 1 y and 1 o when two letters picked without replacement from yyoyoyy? 10/21 Four letters picked without replacement from {u: 4}. What is prob of picking 4 u? 1 Four letters picked without replacement from ccccccqcccccx. Give prob of picking 1 q, 1 x, and 2 c. 1/13 Calculate prob of picking 1 m and 3 i when four letters picked without replacement from {m: 9, i: 7}. 9/52 What is prob of picking 2 h when two letters picked without replacement from {z: 4, h: 7, f: 2}? 7/26 Calculate prob of picking 1 m and 2 a when three letters picked without replacement from aammaammam. 5/12 Three letters picked without replacement from {a: 4, p: 14}. Give prob of picking 2 p and 1 a. 91/204 Two letters picked without replacement from vacvazvtazzzv. What is prob of picking 1 v and 1 a? 2/13 Two letters picked without replacement from jyayjyjzyyjaba. Give prob of picking 1 z and 1 a. 3/91 Two letters picked without replacement from {a: 1, j: 4, n: 9, p: 2}. What is prob of picking 1 p and 1 j? 1/15 Three letters picked without replacement from {h: 2, v: 3}. Give prob of picking 1 h and 2 v. 3/5 What is prob of picking 1 j and 1 o when two letters picked without replacement from {o: 1, v: 3, t: 4, j: 2, y: 2}? 1/33 Three letters picked without replacement from xnxxnznnznnjnnnnznnn. What is prob of picking 1 j and 2 x? 1/380 Three letters picked without replacement from {d: 17, e: 2}. What is prob of picking 2 d and 1 e? 16/57 Two letters picked without replacement from oywpb. What is prob of picking 1 b and 1 y? 1/10 What is prob of picking 2 t when two letters picked without replacement from otbobobbtoo? 1/55 Two letters picked without replacement from jvuuj. Give prob of picking 1 j and 1 u. 2/5 Three letters picked without replacement from xmmmmtxxmmvtx. Give prob of picking 1 t, 1 v, and 1 x. 4/143 Calculate prob of picking 3 v when three letters picked without replacement from ttttvtvtvttt. 1/220 What is prob of picking 1 s and 1 w when two letters picked without replacement from {a: 1, w: 1, s: 3, c: 2, e: 6}? 1/26 Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, e: 3}. 1/5 What is prob of picking 1 e and 2 s when three letters picked without replacement from {s: 5, e: 5, y: 3}? 25/143 Four letters picked without replacement from upoojoujuokkbookukbj. Give prob of picking 4 o. 1/323 Four letters picked without replacement from aaqkqcakqqaakkaam. What is prob of picking 1 m, 1 k, and 2 a? 3/85 Calculate prob of picking 1 z, 1 q, and 1 c when three letters picked without replacement from czzcqcz. 9/35 Calculate prob of picking 1 d and 1 t whe
{ "pile_set_name": "DM Mathematics" }
9*k**2/2 - 139. Let p = -7 + 29. What is p*r(q) - 2*a(q)? -4*q Let d = 13731 + -13735. Let s(a) = 4*a**2 - 2*a - 4. Let o(m) = -m**2 - m - 1. What is d*o(u) + s(u)? 8*u**2 + 2*u Let l(r) = 4*r + 9. Let t(d) = 6*d + 14. Suppose -1157*n = -1162*n + 35. What is n*l(p) - 5*t(p)? -2*p - 7 Suppose -59 - 254 = 84*z - 61. Let n(j) = j**3 + 4*j + 10. Let t(u) = u**3 + 4*u + 9. What is z*n(d) + 4*t(d)? d**3 + 4*d + 6 Let o(d) = 63281 - 6*d**2 - 3*d - 63278 + 12*d**2. Let v(q) = q**2 - q + 1. What is -o(t) + 3*v(t)? -3*t**2 Let q(a) = -3*a + 5. Suppose 805*l - 950 + 137 = -8. Let d(y) be the first derivative of -y - 1. Suppose -4*p + 16 = -0*p. What is l*q(v) + p*d(v)? -3*v + 1 Let y(x) = -4*x**3 + 9*x**2 - 6*x. Let u = -373 + 222. Let w = u - -142. Let v(r) = -2*r**3 + 4*r**2 - 3*r. Determine w*v(f) + 4*y(f). 2*f**3 + 3*f Let j(h) = -2*h - 16. Let o be j(-6). Let i be o*(17 - 17 - (-5)/2). Let k be 15/i - 12/8. Let a(g) = 2*g + 2. Let t(m) = 2*m + 2. Determine k*t(z) + 2*a(z). -2*z - 2 Suppose -2*s = 10, 5*m - 42*s = -37*s + 5. Let u(k) be the second derivative of 0*k**2 + 0 - 1/6*k**3 - 3*k. Let o(r) = -r. Give m*o(d) - u(d). 5*d Let u(k) = -k + 18. Let x(z) = -z + 19. Suppose -14*h + 951 = -858 + 1893. Determine h*u(p) + 7*x(p). -p + 25 Let y(s) = s**2 + 3*s - 2. Let t(o) = 2*o**3 + 4*o**2 + 4*o + 15. Determine -t(a) + 5*y(a). -2*a**3 + a**2 + 11*a - 25 Let h(j) = 67*j - 47. Let l(v) = -v + 3. Determine -h(d) - 8*l(d). -59*d + 23 Let u(g) = -15*g**3 + 70*g**2 + 15*g + 319. Let q(x) = x**3 - 5*x**2 - x - 22. What is 29*q(s) + 2*u(s)? -s**3 - 5*s**2 + s Let s(z) = 12 - 8*z**2 + 19 - 5*z + 6 - 45 - 15*z. Let l(t) be the third derivative of t**5/20 + 7*t**4/24 + t**3/2 + 3*t**2. What is -14*l(j) - 5*s(j)? -2*j**2 + 2*j - 2 Let h(o) = o + 1. Suppose 12 = -2*u, 193 - 171 = -v - 4*u. Let s(c) = -6*c - 5. Calculate v*s(r) + 11*h(r). -r + 1 Suppose -3*w - 13 = -3*k - 2*w, 24 = 5*k - 4*w. Let p(q) = 4 - 2*q**3 - 3*q**2 - 2*q**3 + q + 6*q**3. Let v(g) = 32 + 37 - 131 + 33 + 30. What is k*v(u) - p(u)? -2*u**3 + 3*u**2 - u Let w(h) = 7*h**3 + 297*h + 238*h - 4 - 539*h - 16. Let x(m) = m**3 - m + 1. Calculate -w(f) + 4*x(f). -3*f**3 + 24 Let d = 162 + -159. Let b(g) = -11*g + 2*g**d - 7*g**3 + 9*g. Let s(h) = 2*h**3 + h. Give 6*b(q) + 13*s(q). -4*q**3 + q Let g(j) = 25*j**2 + 35*j + 2. Let b(n) = 26*n**2 + 43*n + 4. Determine -5*b(a) + 6*g(a). 20*a**2 - 5*a - 8 Let v(n) = -7*n - 5. Let f(h) = 15*h + 9. Let g(b) = 2*f(b) + 5*v(b). Let m(l) = 6*l + 6. Let q = 215 - 209. Determine q*m(y) + 5*g(y). 11*y + 1 Let h(c) = -19*c - 88. Let z(f) = -15*f - 89. What is -6*h(d) + 7*z(d)? 9*d - 95 Suppose -19*o + 14*o = 2*c - 38, 3*c = 2*o. Let k(m) = 3*m**2 + 100. Let g(i) = i**2 + 33. Calculate c*k(n) - 11*g(n). n**2 + 37 Let z(m) = m**3 - m**2 - m + 2. Let d be z(0). Let r(h) = 13*h. Let u(s) = 27*s. Suppose 119 = -5*o - 20*p - 66, -29 = o + 3*p. Determine d*u(j) + o*r(j). -11*j Let c(m) = 43*m. Let t(w) = -4557*w. Suppose -2*q + 5*y = 18, 42*y + 72 = 13*q + 41*y. What is q*t(o) + 637*c(o)? 49*o Let s(t) = -2*t**3 + 303*t**2 + 4*t - 21. Let j(z) = -3*z**3 + 455*z**2 + 6*z - 34. Give 5*j(d) - 8*s(d). d**3 - 149*d**2 - 2*d - 2 Let o(y) be the second derivative of 103*y**5/20 + 2*y**4/3 - 4*y**3/3 - y**2 - 5288*y. Let z(s) = -69*s**3 - 5*s**2 + 5*s + 1. What is -5*o(a) - 8*z(a)? 37*a**3 + 2 Let i(g) = -2*g**3 + 2*g**2 + 4*g. Let y(p) = -p**2. Let x = -17803 - -17804. What is x*i(r) + 2*y(r)? -2*r**3 + 4*r Let o(b) = 99*b**2 + 10*b + 1. Let w(x) = 184*x**2 + 19*x + 3. What is -11*o(p) + 6*w(p)? 15*p**2 + 4*p + 7 Let t(y) = 3*y + 53 + 43 + 54 + 43 - 206. Let p(k) = 2*k - 14. Determine -4*p(n) + 3*t(n). n + 17 Suppose 877 = 5*v - 2*w - 0*w, 3*v - 2*w = 523. Let u = v + -169. Let h(c) = 2*c**2 + 3*c - 3. Let z(a) = 5*a**2 + 8*a - 9. Determine u*h(k) - 3*z(k). k**2 + 3 Let l(j) = 5*j - 5. Let w = 4103 - 4104. Let r(c) = c + 1. What is w*l(n) - 2*r(n)? -7*n + 3 Let c(q) = -38*q**2 - q + 20. Let y(k) = 77*k**2 + 3*k - 39. Give -5*c(d) - 3*y(d). -41*d**2 - 4*d + 17 Let i(a) = 2 + 2 + 4*a - 3. Suppose 4*p - 6*p - 10 = 4*h, -2 = -2*p - h. Let s(w) = 14 - p*w - 14 + 0. Calculate 2*i(m) + 3*s(m). -m + 2 Let d(k) = -k**2 + 1. Let f(x) = -3 - 2*x**2 - 2 + 6*x**2. Let u be (24/(-15))/(((-22)/15)/(-11)). Let m be 10/(40/u) - (-2 + 4). What is m*d(q) - f(q)? q**2 Let x(t) = -6*t - 1827. Let g(m) = -7*m - 1827. Calculate 4*g(k) - 5*x(k). 2*k + 1827 Let u(z) = 9287*z**2 - 7*z. Let c(y) = 3096*y**2 - 2*y. What is 14*c(n) - 4*u(n)? 6196*n**2 Let v(m) = -1182*m - 7. Let c(s) = 4*s - 2. Determine 3*c(h) - v(h). 1194*h + 1 Suppose -5*c + 0*c = 25. Let z(p) = p - 4. Let h(q) = q - 7. Suppose 12*x + 764096 - 764165 = -11*x. Calculate c*z(d) + x*h(d). -2*d - 1 Let g(c) = 2*c**3 + 3*c**2 + 48*c - 3. Let u(o) = -o**3 + o. Determine -g(t) - 3*u(t). t**3 - 3*t**2 - 51*t + 3 Let i(o) = -1283*o**2 + o - 22. Let j(h) = -643*h**2 - 9. Give -2*i(d) + 5*j(d). -649*d**2 - 2*d - 1 Let a(u) = -7*u + 7. Let v(j) = 2*j - 2. Let q(h) = -h + 1. Let l(i) = -3*q(i) - 2*v(i). Suppose -37*s - 24*s + 1844 = 58*s + 2439. Give s*l(y) + a(y). -2*y + 2 Let n(t) = 5*t**2 - 2*t + 2. Let l = 311 - -250. Let s(b) = -4*b**2 + 3 - 4 - l*b + 563*b + 0. Suppose -3*d + 12 = -4*g - d, 4*d = g + 3. Give g*n(i) - 4*s(i). i**2 - 2*i - 2 Let r(i) = -i**3 + i**2. Let m be r(2). Suppose 365*o - 42*o + 294*o - 13574 = 0. Let g(f) = f + 6. Let d(y) = 1. Give m*g(h) + o*d(h). -4*h - 2 Let l(j) = j**2 + j + 1. Let r = 26313 - 26308. Let g(b) = 4*b**2 + 2*b + 5. Determine r*l(p) - g(p). p**2 + 3*p Let z(d) = -2*d**2 - d + 3. Let p = 98 - 96. Let b be p/((-2)/(-11) - (-96)/(-44)). Let w(n) = n**2 - n - 1. Determine b*z(v) - 3*w(v). -v**2 + 4*v Let r(x) = 1. Let g(c) = 3*c**2 - 2*c**2 + 3*c**2 - 43*c - 12 + 0*c**2. Let q be g(11). Let m(i) = -i**2 + 5. What is q*m(o) + 5*r(o)? o**2 Let q(f) be the first derivative of 2*f + 3/2*f**2 + 17. Let i(j) = -4*j - 2. Let x be (-3 + 2)/((-5)/(-15)). Calculate x*q(o) - 2*i(o). -o - 2 Suppose 224*x + 4 = 225*x. Let y(l) = 5*l**2 + 9*l - 2. Let u(q) = 3 + 3 - 2 + 6*q - 25*q - 11*q**2 + 1. Calculate x*u(g) + 9*y(g). g**2 + 5*g + 2 Let r(t) = 11*t - 6. Suppose 912*g - 599*g = 26605. Let d(f) be the first derivative of 155*f**2/2 - 85*f + 1. Give g*r(c) - 6*d(c). 5*c Let j(n) = n**3 + n**2 + n + 6. Let d(a) = -3*a**3 - 11*a**2 - 34*a - 30. Give -d(y) - 5*j(y). -2*y**3 + 6*y**2 + 29*y Suppose 3*k - 27 = 12*k. Let h(l) = l**2 - 1. Let t(v) = 8*v - 5. Let s be t(1). Let w(z) = -2 + s*z**2 - 1 + 3*z**3 - 3*z**2 + 3*z**2. What is k*h(u) + w(u)? 3*u**3 Let c(v) = 768*v - 1. Let b(u) = 2304*u - 5. Calculate 2*b(k) - 7*c(k). -768*k - 3 Let p = 1230 - 345. Let t(h) = 3*h + 884 - p - 2*h. Let u(l) be the second derivative of l**2/2 - l. Give -3*t(b) - u(b). -3*b + 2 Let d be ((-98)/(-35) - 2)/((-1)/(-5)). Suppose -9*m = -49 + d. Let p(h) = 6 - 4 - 2*h - 3*h. Let w(s) = 6*s - 2. Calculate m*p(j) + 4*w(j). -j + 2 Let c = 2 + 0. Let b(j) = j + 4. Suppose 0 = -2*x + g + 9, 0 = -25*x + 20*x - 3*g - 5. Let i(u) = -53 + 5*u**x - 6*u**2 + 56 + u. Determine c*b(d) - 3*i(d). 3*d**2 - d - 1 Let n(b) = b**3 - b**2 + 5*b + 1. Let i(t) = -t**3 + t**2 - 7*t - 2. Suppose 9*x + 19852 = 19897. Determine x*i(l) + 7*n(l). 2*l**3 - 2*l**2 - 3 Let n(c) = -6*c**2 + 13*c - 17. Let v(l) = 11*l**2 - 25*l + 33. Let m(j) = 5*n(j) + 3*v(j). Let h(t) = -t**2 + 3*t - 5. Determine -7*h(a) - 2*m(a). a**2 - a + 7 Let l(a) = -114*a**3 + 5*a**2 + 2*a + 264. Let x(q) = 113*q**3 - 5*q**2 - 2*q - 331. What is 5*l(h) + 4*x(h)? -118*h**3 + 5*h**2 + 2*h - 4 Let z(x) = -2*x**2 + 3*x - 8. Suppose 98*p + 3*b + 27 = 93*p, 5*b = p + 11. Let j(f) = 2*f**2 - 4*f + 9. Give p*j(d) - 7*z(d). 2*d**2 + 3*d + 2 Let t(g) = 8*g**3 + 8*g**2 - 11*g + 67. Let v(b) = 6*b**3 + 6*b**2 - 8*b + 68. Give 2*t(k) - 3*v(k). -2*k**3 - 2*k**2 + 2*k - 70 Let m(p) = 39*p**3 - 8*p**2 + 7*p + 12. Let l(x) = -38*x**3 + 9*x**2 - 6*x - 10. What is 7*l(c) + 6*m(c)? -32*c**3 + 15*c**2 + 2 Let i(c) = -13*c**3 + 5*c + 5. Let g be (-10)/(-8) - (-3)/4. Let r(k) = -51*k**2 - 6*k + 51*k**g + 14*k**3 - 9 + 3. Calculate 6*i(m) + 5*r(m). -8*m**3 Let x(b) = b - 1. Suppose -o - v - 1 = 0, -2*v - 2 = 2. Let f(u) = 13*u - 10. Let q(t) = 15*t - 11. Let d(h) = -7*f(h) + 6*q(h). Calculate o*d(i) + 3*x(i). 2*i + 1 Let b
{ "pile_set_name": "DM Mathematics" }
= 4*l**2 + 1. Let u be z(-1). Suppose 0 = -u*d - 2*j + 48, 8 = 4*d - 3*d + 2*j. Solve 3*t - q - d = 0, 0*t - 3*t - 5 = -4*q for t. 5 Let d = 9 + -23. Let y = d + 17. Suppose 5*v = 3*v. Solve v = -y*p + 6, l - 3*p = p - 11 for l. -3 Let r(b) = -9*b + 48. Let c be r(5). Let n be 2/(-6)*(-3 - 18/c). Solve k - 2*k + 17 = -3*q, n*k = -2*q + 7 for k. 5 Suppose 3*m = -s + 7, -4*s + 67 = m - 2*m. Let z = s + -4. Let d be (12/8 + -1)*z. Solve -3*h - 5*w = -d - 7, 0 = -4*h - w + 6 for h. 1 Suppose -v = -10*v + 18. Solve -4*y - o - 2 = 0, -v*y = -y - o - 2 for y. 0 Let i be 1/((8/12)/2). Let o(u) = 11*u + 3. Let c be o(-2). Let n = 1 - c. Solve -3*y - y + n = 0, -i*h + 2 = -2*y for h. 4 Suppose -4*g - g + 1 = -f, -3*g - 3*f = 3. Suppose -3*z - z - 5*t + 23 = g, -z + t - 1 = 0. Solve 3*c + 5*p + 10 = -z*c, -10 = -5*c + 5*p for c. 0 Suppose -37*b + 28*b = -36. Suppose -6*s + b*s = -6. Solve -s = z + t + 1, 5*z - 5*t + 10 = 0 for z. -3 Suppose g - 3*r = -2 + 35, 93 = 3*g - 3*r. Solve -c - g = 5*u, 0 = 3*c + 2*c + 25 for u. -5 Let o be (54/15)/((-6)/(-40)). Let l be 54/20 + (-195)/(-650). Solve -l*t + t - o = 5*d, 0 = -2*t - 2*d - 12 for t. -2 Let t = -14 + 16. Solve -4*b + 2*x + 4 - 2 = 0, -4*b - t*x = 18 for b. -2 Let w(h) = -h**3 - 2. Let j be (-7)/(-3) - 2/6. Let i be w(j). Let x(d) = -d**2 - 10*d + 2. Let f be x(i). Solve -3*o - 2*b = -17, -5*o + f = 3*b - 25 for o. 3 Let o = 63 - 58. Solve -14 = -o*f + 3*s + 3, -5*f + 9 = -s for f. 1 Let s = 43 - 41. Let u be (s + 10/(-6))*6. Solve u*q + 8 = 0, -2*w - q = w + 4 for w. 0 Let g(p) = 6*p + 16. Let o be g(4). Suppose -4*b - 4*r = -1 + 13, 5*b + 10 = -4*r. Suppose -b*c + 2 = -6. Solve -o = v - 6*v + 5*l, 5*v - 13 = -c*l for v. 5 Let l be 3/6 - 27/(-6). Solve -5*g = 3*b - 4*g - l, 5 = 5*b + g for b. 0 Suppose -t - 4*t - 4*v + 55 = 0, 5*v = -25. Suppose -4*j = -t + 3. Solve 3*f + 3*r = -24, j*f + 18 + 0 = -r for f. -5 Suppose 3*g + 5*p = 27, 3*g + 0 = 2*p + 6. Suppose 0*j = -4*j + 20. Let a = 7 - j. Solve -i + a*t = 4*i - 35, 0 = -g*i - 4*t for i. 5 Suppose 78 = 10*l + 58. Solve 4*i = -5*k - 1, 5*k + l = i - 4*i for k. -1 Let j = 158 - 150. Suppose 0 = -4*a + n + 12, -4*a + 2*n + 4 + j = 0. Solve -a*g - s - 3 = 2, 3*s - 21 = 3*g for g. -3 Let o = -465 - -469. Solve 0 = w + o*c + 24, 2*w + 0*w - 3*c = 7 for w. -4 Let o = -200 + 204. Solve 2*p = -11*i + 8*i + 5, -o*i + 3*p = -18 for i. 3 Let s be 2 - ((-3)/(-7) + (-24)/56). Suppose -s*i - 3*o + 15 = 0, 2*o - 17 = -2*i - 3*o. Solve 5*d + 17 = u, 3*u - 3*d - 9 = i for u. 2 Suppose 2*u - u - b + 8 = 0, -4*b + 8 = 0. Let c be ((-14)/u)/(7/21). Solve 2*j - c*j = x + 5, 0 = -3*x - 4*j + 7 for x. 5 Suppose 0*g - 75 = -3*g. Suppose -3 - g = -3*l - 5*k, -k = -l + 12. Suppose -l = -6*n + 1. Solve -4*s + n - 4 = 2*u, 3*s + 2*u = 0 for s. -2 Let s(x) = 4*x**2 + 11*x - 1. Let b(c) = -3*c**2 - 10*c + 1. Let z(l) = -6*b(l) - 5*s(l). Let m be z(1). Solve -6 = 3*y, m*d + y = 4*y + 6 for d. 0 Let k = -114 + 116. Suppose -25 = -2*v + 3*v - 4*d, v - 2*d + 17 = 0. Let t be 1/3*(3 - v). Solve t*l + 12 = 2*w, 3 = w + k*l + 1 for w. 4 Suppose 12 - 8 = r. Suppose 0 = -m - r*u + 1, -2 = 4*u + 2. Solve 4*q - 3*g - 12 = -g, q - m*g - 21 = 0 for q. 1 Let v = -4 + 4. Let x = 1 + v. Solve -3*g - x = b - 2*g, 0 = 5*b + 3*g - 3 for b. 3 Suppose 7*b + 3 = 4*b, 2*u - 13 = 3*b. Suppose 11*h + 4 - 37 = 0. Solve 2*i = 8, -3 = u*t + i + h for t. -2 Let r(b) = b**2 + 6*b + 5. Let n be r(-5). Suppose s - 1 + 4 = 4*k, 2*s + k - 12 = n. Suppose 3*j - 2*j = s. Solve -2*g = j*m, 0 = g - 5 for m. -2 Suppose 104*y - 288 = 8*y. Solve -6*s = -4*s - 5*i - 7, -13 = s + y*i for s. -4 Suppose 3*z = 3*d - 243, -4*z + z = -12. Suppose 6*y - y - d = 0. Let p(u) = u - 1. Let r be p(4). Solve -2*a + 5*b = a + 35, a = r*b - y for a. -5 Let u(w) = -w**3 - 5*w**2 + 15*w + 7. Let h be u(-7). Suppose h = -5*q + 18 - 3. Solve 0 = -4*d + q*j - 1 - 25, 4*d + 12 = -4*j for d. -5 Suppose -4*j = -3*y - 24 + 11, 2*j - 5*y = -11. Solve 4*t + 5 = -t + 5*o, t = 3*o + j for t. -5 Suppose -3*z = 2*z - 20. Let g be (-7)/4 - ((-277)/44 + 72/132). Solve -5*a + l + g*l = 10, -2*a = -5*l + z for a. -2 Suppose 0 = 133*p - 138*p. Solve -2*h + p*f - 9 = f, -4*h - f - 13 = 0 for h. -2 Suppose 5*g = 22*g - 85. Solve 4*w + 2 = g*w + b, -b = -2*w - 5 for w. -1 Suppose -23*t + 14*t + 18 = 0. Solve 0 = t*w - d + 3 - 5, 0 = -4*w - 2*d - 4 for w. 0 Suppose 23*w - 22 - 70 = 0. Solve -5*p - 45 = 5*u, -w*u - 2*p = p + 32 for u. -5 Let r be (2 + (-3)/1)*-6. Let c(l) = l**3 - 13*l**2 + 2*l - 21. Let y be c(13). Suppose x + y*x = r. Solve -2*q = 4*p + 20, 5*q + x = -p - 13 for p. -4 Let k be 123/6 - 0 - 3/(-6). Let h = -19 + k. Solve -4*q + h*r = 17 + 3, 5*r = -q + 6 for q. -4 Let g(u) = -2*u**3 - 3*u**2 + u + 4. Let d be g(0). Solve -3*z = -3*b + 15, -2*z + d = -2*b - 7*z for b. 3 Let b(h) = 2*h**2 - 3*h - 4. Suppose -y - 3*z + 6 = 2*y, 2*y - 16 = -5*z. Let t be b(y). Solve -5*d = -2*m + 18, -6*m - 2*d = -4*m + t for m. -1 Let j(g) = g - 3. Let z be j(8). Suppose 0*m + 3*m - 18 = -4*k, 3*k - 13 = -2*m. Let q = z - k. Solve 0 = 4*a - 5*t + 18, 8 = -2*a - 0*a + q*t for a. -2 Let t(l) be the first derivative of 5*l**2/2 - 28*l - 15. Let q be t(6). Solve -b = q*g + 1 - 11, 4*g = 16 for b. 2 Let p(n) = 3*n + 13. Let b be p(-3). Suppose z + 27 = b*z. Solve -2*w - 20 = 4*i, 13 + z = -4*i - 3*w for i. -4 Suppose 0 = -7*p - 191 + 226. Solve p*v - 5*k = 5, 11*k - 25 = 16*k for v. -4 Let a(b) = 64 - 92*b + 188*b - 91*b. Let h be a(-12). Solve -n + 4*k = 11, -2*n = -5*n - h*k + 31 for n. 5 Suppose -5*t + 6 = 3*a, -2*a - a - 2*t + 6 = 0. Solve -2*o + 2*q = -6, o + 9 = -4*q + a*q for o. -1 Let d be 2*-3 - (10 - 19). Solve 0 = -4*i + 3*p - 1, -10*p + 5*p = -d*i + 13 for i. -4 Let r(q) = -3*q + 21 - 4 + 9. Let m be r(8). Solve 0*f = -3*j + 4*f - 3, j - m*f = 1 for j. -5 Let p(m) = -4*m**2 + 19*m + 10. Let v be p(5). Solve v*f - 10*k + 7*k = 0, -2*f = 4*k + 26 for f. -3 Let p(v) = 2*v**3 + 17*v**2 + 8*v + 7. Let z be p(-8). Solve n + w + 5 = 0, 5*w + 32 - z = 5*n for n. 0 Suppose 2*p - 2*g - 13 = 21, 2*p = 5*g + 37. Solve 4*k + p = 4*d, -3*d + 23 = -5*k + 3 for k. -4 Let w(x) be the second derivative of -x**3/3 + x**2 + 23*x. Let l be w(0). Solve q - 2*a = -10, 2*a + l = -4*q - 8 for q. -4 Suppose -z - 2 = -2*n - 0*z, 4*n - 16 = -4*z. Suppose 0*o - o + 4*g - 6 = 0, 2*g = 8. Solve -3*b - 2 = -b + u, n*b + 5*u = -o for b. 0 Let o(q) = -q**3 - 20*q**2 - 18*q + 4. Let j be o(-19). Let a = j + 19. Solve -a*h = -4*u - 4, -4*h - 3 = -2*u + 5*u for u. -1 Let l = -17 + 26. Let n(s) = s**2 - 9*s + 4. Let g be n(l). Suppose 12 = -3*v, 3*c + 12 = g*v + 55. Solve -c = 3*p, 2*x + 5*p = 4*x - 9 for x. -3 Let s = -14 + 9. Let p(y) = -31*y + 220. Let d be p(7). Let t be (s/d)/(-5)*6. Solve t*r = 5*g - 2*r, -3*r = -4*g for g. 0 Let u = 80 - 75. Suppose 3*s - m - 41 = 0, 0 = u*s - m - 23 - 42. Solve -5*j - 7 = -5*b + 3, 4*b = s for j. 1 Suppose 0 = -7*u - 16*u + 69. Solve -p = 5*o - u, 4*o = o for p. 3 Let j = 26 - 17. Let t = -7 + j. Solve 5 + 18 = 5*s - 2*v, 0 = 5*s + t*v - 27 for s. 5 Let q = 11 + -7. Suppose -5*y + 74 = 4*k, k - q*y - 56 = -3*k. Suppose 5*r + 4*a - 11 = 5, -4*a + k = -r. Solve -3*s - p + 2 = r, 3*s + 4*p + 3 = 2*s for s. 1 Let j be -3 + 6*3 - (3 + -6). Let z be 30/9 + j/27. Solve 0 = 2*v + 5*s - 20, z*s - 16 = -v - 0*s for v. 0 Suppose a - 5*a + 52 = 3*n, -2*a + 8 = -3*n. Let y = -71 + 75. Solve y*f = 2*f + s + a, -4 = s for f. 3 Let i = -22 + 26. Solve -3*x + 12 = -8*x - i*q, 3*x = 2*q - 16 for x. -4 Suppose -4 = -3*a + 5. Suppose 0 = a*d + 2*d + 85. Let w = -13 - d. Solve -t - 16 = -5*t - 2*l, -2*t + 2*l - w = 0 for t. 2 Suppose 0 = -5*t + 5*s + 7 - 2, 2*t + 1 = -s. Suppose t = 2*n - 4*i - 6 - 0, -5*i - 18 = -4*n. Solve 3*c - y = n, -c + 4*y = -y + 7 for c. 3 Let p = -33 - -35. Let r(c) = 35*c + c**p + 4 + 30*c - 60*c. Let a be r(-5). Solve -5*w - 7 + 3 = -4*s, a*s = w - 12 for w. -4 Suppose c = -8 + 18. Let i = 15 - c. Suppose 5*x + 10 = -4*o, 8*x - 3*x + i*o + 15 = 0. Solve -n + 2*w = x*n - 4, 5*n + 20 = -2*w for n. -2 Let d(w) = -19*w**3 + 2*w**2 + 8*w + 7. Let l be d(-1). Solve 0*s - 4*s = -l, -g + 30 = 5*s for g. 5 Let l be 1*(-11)/(-1) - 2. Let j be (l/(-6))/((-3)/16). Let i(g) = g. Let s be i(4). Solve -j*c = -3*y - s*c, 2*c = -2*y - 14 for y. -4 Suppose
{ "pile_set_name": "DM Mathematics" }
by 22164. -7/11082 What is 40 divided by 513? 40/513 What is 5 divided by 36726? 5/36726 Divide 4 by 5346. 2/2673 What is 83990 divided by 1? 83990 Divide 49 by 270. 49/270 Divide -358056 by 9946. -36 Calculate -11024 divided by -13. 848 1384884 divided by -153876 -9 2322 divided by 62 1161/31 Calculate 978 divided by -31. -978/31 Divide -374130 by -124710. 3 -424 divided by 26 -212/13 -11739 divided by 125 -11739/125 Divide 211218 by -6. -35203 Divide -6096 by -2. 3048 Divide -2396 by 599. -4 6 divided by 22756 3/11378 -1085624 divided by -388 2798 Calculate -272256 divided by 1418. -192 Calculate 14 divided by -73532. -7/36766 Divide 82 by -6109. -2/149 32 divided by 2551 32/2551 Calculate 133975 divided by -5825. -23 Divide -12666 by 15. -4222/5 Calculate 504 divided by -1. -504 75 divided by -1032 -25/344 -44 divided by -1457 44/1457 What is 2 divided by -1371945? -2/1371945 Calculate 2839 divided by -17. -167 5309500 divided by 1850 2870 What is -4 divided by -21285? 4/21285 What is -10012 divided by -23? 10012/23 Divide -37835 by -15. 7567/3 Calculate 30694 divided by 298. 103 4 divided by -4298 -2/2149 Calculate 6 divided by -7454. -3/3727 What is 3382144 divided by 4? 845536 Divide -1 by -432762. 1/432762 What is 213797 divided by -11? -213797/11 Calculate -121672 divided by -30418. 4 Divide 2 by 35223. 2/35223 Divide 78194220 by -5. -15638844 -2572128 divided by 1248 -2061 Calculate 131572 divided by 14. 9398 Divide -22976 by -359. 64 What is 108584 divided by 1108? 98 836880 divided by -278960 -3 200954 divided by 1 200954 82615 divided by 65 1271 Calculate 49129 divided by -673. -73 570572 divided by -4 -142643 Calculate 694 divided by -24. -347/12 Divide 7052 by -43. -164 5651 divided by -11 -5651/11 Calculate 6072 divided by 14. 3036/7 What is 42096 divided by 877? 48 What is 22330 divided by 638? 35 Divide 11448 by 9. 1272 -8046 divided by 894 -9 What is 162700 divided by 1? 162700 What is -456846 divided by -13? 35142 Calculate -1498 divided by -14. 107 Divide -177858 by 5. -177858/5 What is 82566 divided by 11? 7506 Divide 10442 by -1. -10442 Divide -1 by 2022. -1/2022 Calculate -4 divided by -25570. 2/12785 Divide 9 by -313. -9/313 233352 divided by -5 -233352/5 Calculate 602 divided by 4530. 301/2265 Divide 7600890 by 6. 1266815 -88286 divided by -8026 11 What is 0 divided by 98489? 0 14658 divided by -2443 -6 -1816080 divided by -75670 24 Divide 5729850 by -2142. -2675 What is -29428 divided by 1? -29428 What is 645 divided by 1593? 215/531 What is -9718 divided by -2? 4859 What is -146163 divided by -2? 146163/2 72468 divided by -108 -671 5326824 divided by 6 887804 What is 4 divided by 15237? 4/15237 Calculate 19750 divided by 1. 19750 Divide -713 by -627. 713/627 Calculate 26300 divided by 100. 263 Divide 1855318 by -1219. -1522 Divide 173075 by 989. 175 -19056 divided by 4 -4764 What is -3571 divided by 873? -3571/873 What is -201780 divided by -2655? 76 What is -2937870 divided by 405? -7254 What is 20 divided by -10322? -10/5161 Divide -3 by 273257. -3/273257 What is 80044 divided by 2? 40022 Divide 423671 by 2. 423671/2 Calculate 26 divided by 137. 26/137 -3204682 divided by 139334 -23 Calculate -102 divided by -781. 102/781 What is 5 divided by 4867? 5/4867 Calculate -552138 divided by -6. 92023 -33819 divided by -3 11273 Calculate -40 divided by -4405. 8/881 -12540 divided by -220 57 -963653 divided by -2 963653/2 Divide 320385 by 1643. 195 Calculate -76242 divided by -2. 38121 Divide 55 by 1638. 55/1638 72670 divided by 5 14534 2934 divided by 69 978/23 What is 132700 divided by 2? 66350 What is 9275 divided by -1325? -7 What is 24122 divided by -9? -24122/9 -32977 divided by 1 -32977 0 divided by 5757 0 What is 171976 divided by -518? -332 Divide 142560 by -8. -17820 Divide -1994 by 2. -997 What is -2715 divided by -905? 3 Calculate -58605 divided by -11721. 5 993 divided by 49 993/49 Divide -516354 by 6297. -82 -879480 divided by -9 97720 What is 761301 divided by -761301? -1 -431720 divided by -86344 5 34 divided by 23628 17/11814 What is -591 divided by -53? 591/53 Calculate 1 divided by 12006. 1/12006 Divide 91980 by -70. -1314 What is -592678 divided by 802? -739 0 divided by 536931 0 Divide 3920 by 980. 4 67686 divided by 174 389 What is 23361 divided by -1797? -13 -2544110 divided by -508822 5 What is -55423 divided by 5? -55423/5 Calculate 346944 divided by 6. 57824 What is 1648 divided by 2? 824 What is -30492 divided by -21? 1452 Calculate 443 divided by 233. 443/233 Calculate 54020 divided by 185. 292 Calculate 0 divided by 1481269. 0 Divide -100168 by 19. -5272 Calculate 855926 divided by 1523. 562 Calculate 18342 divided by -9. -2038 -17 divided by -56 17/56 -3707 divided by -8 3707/8 What is -4946520 divided by -6? 824420 13497 divided by -7 -13497/7 What is 44 divided by -450? -22/225 What is -83499 divided by 5? -83499/5 Divide -15309 by 10. -15309/10 Divide -542063 by 3. -542063/3 Calculate 8740 divided by 46. 190 Calculate -75864 divided by -58. 1308 What is 14280 divided by 3? 4760 What is -382 divided by -399? 382/399 What is 9326 divided by 3? 9326/3 Divide -1859 by 11. -169 104 divided by 20233 104/20233 Calculate -4538 divided by 115. -4538/115 1543 divided by -4 -1543/4 650095 divided by 5 130019 -1 divided by -286794 1/286794 Divide -91324 by 34. -2686 54 divided by 5866 27/2933 What is 44370 divided by 90? 493 Divide 5223 by 6. 1741/2 Divide -65700 by 3650. -18 What is -190877 divided by 2? -190877/2 -99564 divided by -12 8297 1061052 divided by 3 353684 218302 divided by -31186 -7 What is 10 divided by -24122? -5/12061 -11951358 divided by 3 -3983786 Divide 273 by 627. 91/209 Divide -37700 by 10. -3770 Divide 3 by -17952. -1/5984 Calculate 4167822 divided by -1. -4167822 Divide 107 by 28. 107/28 Calculate 186862 divided by 93431. 2 Divide 41 by 620. 41/620 Calculate -30984 divided by -30984. 1 Divide -251199 by -27911. 9 Calculate -846260 divided by 262. -3230 -8931328 divided by 4 -2232832 Divide 101385 by -27. -3755 Calculate 118272 divided by -256. -462 What is 5 divided by -668? -5/668 -1221206 divided by -5 1221206/5 14 divided by -591 -14/591 1833216 divided by -916608 -2 Calculate -73440 divided by -1440. 51 -62 divided by -5726 31/2863 What is -48272 divided by -28? 1724 Divide -31 by -3467. 31/3467 Calculate 5 divided by 37642. 5/37642 Calculate 4252 divided by 4252. 1 What is 5102419 divided by 7? 728917 213517 divided by 2 213517/2 Divide -42070 by 21035. -2 Calculate -66 divided by -243. 22/81 What is -110424 divided by 13803? -8 -1793772 divided by 6 -298962 Calculate -11851 divided by 5. -11851/5 4 divided by 24051 4/24051 Divide -342043 by 4121. -83 What is 56 divided by -17810? -28/8905 Divide 5 by 1068. 5/1068 Calculate 23336 divided by -3. -23336/3 -7576956 divided by -70157 108 0 divided by -78958 0 What is -1773 divided by 48? -591/16 Divide 1124100 by -374700. -3 What is -4 divided by 934321? -4/934321 -38805 divided by -199 195 What is 402370 divided by 80474? 5 Divide -1 by 36201. -1/36201 Divide 489714 by 3. 163238 Calculate -45808 divided by 8. -5726 What is -420290 divided by -3? 420290/3 17290 divided by 35 494 Calculate 6823 divided by 3. 6823/3 Calculate 1270 divided by -72. -635/36 What is -5035 divided by 16? -5035/16 -520695 divided by 1995 -261 -341784 divided by 1692 -202 10 divided by 1591 10/1591 56966 divided by -28483 -2 What is -1 divided by 81202? -1/81202 1197469 divided by 2 1197469/2 What is -646 divided by 13130? -323/6565 -61 divided by 28907 -61/28907 What is 57087 divided by 23? 57087/23 Calculate 2421 divided by 807. 3 Calculate 337092 divided by -28. -12039 What is 1312950 divided by 87530? 15 What is 40509 divided by 3? 13503 -2 divided by 665654 -1/332827 Calculate 12942858 divided by 6. 2157143 Calculate 3378037 divided by -78559. -43 What is 16 divided by -375? -16/375 Divide 165 by -10721. -165/10721 27392 divided by 16 1712 Divide -1064 by -493. 1064/493 583905 divided by -27805 -21 Calculate 360 divided by -4. -90 Calculate -1723370 divided by 1. -1723370 649811 divided by -1 -649811 Divide 439 by 59. 439/59 What is 5 divided by 79073? 5/79073 Calculate 112116 divided by -18686. -6 Calculate 116616 divided by 6. 19436 What is 5
{ "pile_set_name": "DM Mathematics" }
? 44.29537 Work out -5899035 - 10. -5899045 What is 37 less than 925662? 925625 Put together -1.08675 and -0.051. -1.13775 Work out -0.3 - -6961824. 6961823.7 What is -377219730 minus -0.1? -377219729.9 Calculate -156365747 + 0.1. -156365746.9 What is -1475 less than 0.11075? 1475.11075 Calculate -441077 + 46. -441031 -0.4 + -363.5408 -363.9408 What is -285432 take away 0.8013? -285432.8013 9267.27762 - -5 9272.27762 What is -13584.11578 take away -0.2? -13583.91578 Add -90117 and 144997. 54880 12383201 + 0.5 12383201.5 Add together -3297 and -3001.8. -6298.8 What is the distance between 102136 and -222? 102358 Total of -103972.74 and -1699. -105671.74 Sum -7965 and 12.017. -7952.983 Sum -5 and 1816453522. 1816453517 Total of -39.7 and 1795634.7. 1795595 Put together 0.9 and 1008121920. 1008121920.9 Subtract 61701 from 1.5618. -61699.4382 Sum -19.4282 and 0.9387. -18.4895 What is -92313 take away 893652? -985965 What is -3739.2477 plus -22? -3761.2477 Calculate 299.48 - 1747. -1447.52 Calculate 495786 + 4114. 499900 What is 0.76 plus -144510985? -144510984.24 What is 0.2 take away -484034.8554? 484035.0554 What is the distance between 4855284242 and -3.3? 4855284245.3 What is -6563 + 2.18121? -6560.81879 What is 54345.5 minus 24? 54321.5 Subtract -2 from 0.55411925. 2.55411925 What is 71 plus -2016523? -2016452 Calculate -0.6 - 101549534. -101549534.6 Total of 6875 and -0.272. 6874.728 What is 13679674 - 33? 13679641 Sum -162.924 and -24.8. -187.724 Sum 0.18 and -8730.74. -8730.56 What is 498428311 plus -15? 498428296 Add -2732767 and -1. -2732768 What is -1676.71 take away -74.4? -1602.31 Work out 0.208433682 - -20. 20.208433682 Calculate -58 - 75.8929. -133.8929 What is -0.126379 + 0.118617? -0.007762 Add -1 and -3084825. -3084826 Sum -259196 and 0.5781. -259195.4219 Total of -99134999 and -31. -99135030 Put together -2035888 and -1128.7. -2037016.7 What is the difference between 12.396040607 and 5? 7.396040607 What is the distance between -1589 and -2219426? 2217837 Work out 136288112 + 0.5. 136288112.5 What is -184472095 minus 0.5? -184472095.5 Calculate 0.25 - -4049599. 4049599.25 What is -0.4 take away -57053162.36? 57053161.96 What is 258032530 + 10? 258032540 Add -7.345 and -0.2206. -7.5656 What is -4.54791 less than -2.3? 2.24791 Calculate 0.1931 - -1020.0987. 1020.2918 What is -7023 + -798? -7821 What is the difference between -0.0332 and 22428? 22428.0332 Calculate 3342 + 2883090. 2886432 What is -196.341 take away -23.1? -173.241 What is the distance between -2632862.07 and -197? 2632665.07 What is 92.9 plus -816767? -816674.1 Sum -0.1 and 28431774. 28431773.9 Add together -1.57 and 157417. 157415.43 Put together -60.2007 and 0.57. -59.6307 What is -16525.4649 plus 394? -16131.4649 -203194 + 192374 -10820 What is -786470 minus 5890? -792360 0.1+-15181730439 -15181730438.9 0.7415 - -449149 449149.7415 What is the distance between -117406.4 and -203? 117203.4 What is the distance between -7 and -38.42127? 31.42127 What is -5 minus 326.220244? -331.220244 Calculate -3.816 + -0.435. -4.251 What is 344.56 minus -191.98? 536.54 What is 0.060947754 plus 4? 4.060947754 Work out 2.42 - 6208.6. -6206.18 Add together -1745.8009 and 1895. 149.1991 Subtract 0.5 from 35807.694. 35807.194 Work out 0.8076 + 425. 425.8076 Subtract -7 from -22720881. -22720874 Calculate -3382.18904 - 2.3. -3384.48904 Total of -1219113 and 36.1. -1219076.9 Work out -1289 + 27594. 26305 What is -57 less than -1317939414? -1317939357 What is the difference between 12.75164 and 0? 12.75164 Put together -412808 and -1010.7. -413818.7 -0.100729 + -71270 -71270.100729 What is the difference between -394.4 and -59519? 59124.6 What is 255 - -2725.2? 2980.2 58426+-0.0023 58425.9977 What is the difference between -0.9152 and 3330676? 3330676.9152 -59226776 - -5 -59226771 2356.85 - -5 2361.85 Put together -13.3052 and -165. -178.3052 What is -5425718529 plus -1? -5425718530 What is 0.31 - 4.3578095? -4.0478095 What is 2868 take away 30696? -27828 What is -1.30119 - -16494? 16492.69881 6.7 + 4.16464 10.86464 Add -79.13 and -106.89. -186.02 Total of -65 and -497970. -498035 Total of -475.27 and 0.26824. -475.00176 Sum -6 and -1380.68521. -1386.68521 Total of 419848 and -96484. 323364 Sum -4 and 7681496. 7681492 Work out -6 + 134109291. 134109285 What is -17897 - 0.02999? -17897.02999 Add together 0.08828283 and -1.1. -1.01171717 -53 - -21319267.3 21319214.3 What is -0.1 minus -71373? 71372.9 What is the difference between 1.64 and -48415.06? 48416.7 What is the distance between 0 and -524715836? 524715836 -3099163+9.2 -3099153.8 Total of 5 and 2911.2414243. 2916.2414243 What is 5131480 take away -0.027? 5131480.027 87+84015 84102 What is -39198279 plus 0.03? -39198278.97 167042968+-2 167042966 What is -0.1 less than 10328272.64? 10328272.74 What is -46 minus 2.5523092? -48.5523092 Total of 7713 and -0.06017418. 7712.93982582 Calculate -1952003 - 75. -1952078 Put together -0.0129 and 1387167. 1387166.9871 What is 4287 minus -1000? 5287 99752229507 + -4 99752229503 -0.073 + -1486456 -1486456.073 What is -0.07 less than -40170.45? -40170.38 Work out -3 - 1594101.991. -1594104.991 Add together 0.00283 and -12980. -12979.99717 What is 8 - -107.474454? 115.474454 Add together 163827 and 0.00793. 163827.00793 Work out -5251.475 - -107. -5144.475 Calculate 3365 - -107968.3. 111333.3 What is the distance between -2120622 and 0.199? 2120622.199 What is -7.8667 minus -600193? 600185.1333 Put together -1.4 and -87107356. -87107357.4 0.7 - 17497.306 -17496.606 What is -447166421 less than 0.13? 447166421.13 Put together 33.88 and -4330. -4296.12 What is -606.46264 - -1? -605.46264 Total of -136.84 and -1.212. -138.052 Calculate -2185 + 11.771. -2173.229 Add 0.406143059 and -0.03. 0.376143059 Sum -0.4 and 10211233668. 10211233667.6 What is -165838790 minus 2? -165838792 What is the distance between -0.01082 and 66.94? 66.95082 What is the difference between -283 and 1.6247976? 284.6247976 Sum 5 and -4856037. -4856032 What is the distance between -763.86613 and -11? 752.86613 Calculate 3922939 - 3.14. 3922935.86 Put together -1740591 and -1272. -1741863 What is 1175097 less than 366? -1174731 Put together -4684703 and 0.04. -4684702.96 Work out 587 + -19513. -18926 Put together 1085.4 and -15408. -14322.6 Subtract 37691813 from 1. -37691812 What is -5478989389 minus 5? -5478989394 Add together -275249 and -258. -275507 What is 1.448327 - 144.67? -143.221673 What is -1881224 less than 24? 1881248 Total of 26338.5 and -608. 25730.5 Total of 0.082 and 305441148. 305441148.082 0.04+2032.747 2032.787 Add 0.3 and 0.05939317. 0.35939317 Sum -0.05 and 2.1460914. 2.0960914 What is the difference between 20 and -1078653721? 1078653741 What is 0.04 less than 701016.085? 701016.045 What is -0.086 - -3191.19? 3191.104 What is the distance between 512.2 and 84982? 84469.8 What is the distance between 0.082 and 1.4326388? 1.3506388 Add -50933436438 and 0. -50933436438 Work out 0.1 + 161.3794. 161.4794 What is -885529 - 0.48? -885529.48 Add 5 and -84387003.5. -84386998.5 Add together 5971956.4 and -5. 5971951.4 Sum -0.2 and 1031510. 1031509.8 1984.563+-7.1 1977.463 What is -5.5 plus 692646.6? 692641.1 Subtract 5477 from -8.932247. -5485.932247 What is the difference between -140 and 48474046? 48474186 3 + -57.34721 -54.34721 What is -5403765854.3 minus -1? -5403765853.3 What is 0.2108487 less than -1.3? -1.5108487 Subtract 0.04095963 from -279. -279.04095963 What is -3308.2 + 3999? 690.8 Put together -1065 and -101709. -102774 What is the distance between -0.970203 and 17.3? 18.270203 What is 41667 + -0.087? 41666.913 Add together 838989686 and 5. 838989691 Subtract 9 from -42169136. -42169145 What is -417.4 minus -0.7037? -416.6963 Calculate -0.4 - -261798.116. 261797.716 What is 66440652 + -3? 66440649 Work out -20670 - 4.63. -20674.63 Sum -664.796935 and 0.3. -664.496935 3005+-3605.7 -600.7 Total of 0.20850517 and -1. -0.79149483 2.3+-348.14 -345.84 What is 34438.263208 less than 0.1? -34438.163208 Add together 24246166279 and -0.2. 24246166278.8 Calculate -0.857 - -0.50967. -0.34733 -13.1+0.2417888 -12.8582112 Add -5853351 and 4.6. -5853346.4 What is -0.9 plus 5927175? 5927174.1 Calculate -562991.05 +
{ "pile_set_name": "DM Mathematics" }
3, 5, 1? -1.3 Which is the closest to -6/11? (a) -119 (b) -0.1 (c) 0.2 b Which is the closest to -1/4? (a) -50 (b) 2/7 (c) -12/13 (d) -10 (e) -3 b Which is the nearest to -1/6? (a) 4 (b) 1 (c) -2 (d) 2/7 (e) 0.2 e What is the nearest to 0 in -0.2, -3, 31, 0.015? 0.015 Which is the closest to -0.04? (a) 3 (b) -5 (c) 0.1 (d) -2/13 (e) 5 d Which is the nearest to 12? (a) -5/2 (b) -18 (c) -4 (d) 82 a What is the nearest to -1 in -94, -1/23, -2/13? -2/13 Which is the nearest to 0.03? (a) 1 (b) -16 (c) -4 (d) -14 (e) -2/5 e Which is the closest to -1? (a) -2/19 (b) 0.2 (c) 3 (d) 0 a What is the nearest to 42 in -3, 5, 39, 2/17? 39 Which is the closest to 0.12? (a) 0 (b) -6/7 (c) -0.1 (d) -4 (e) -3/5 a Which is the closest to -2/3? (a) 0.04 (b) -18 (c) 2 (d) -4 a What is the nearest to -1 in -0.4, 0.2, 3, -14979, 5? -0.4 What is the nearest to -35/3 in 4, -0.5, 93, -0.3? -0.5 Which is the nearest to 4/7? (a) 0.4 (b) -4 (c) 0.09 (d) 3 (e) 0.2 a Which is the closest to -0.2? (a) -3 (b) -7/8 (c) 0.2 (d) 0.074 d What is the nearest to -1/4 in -2/23, -3/35, 0.1? -2/23 Which is the closest to 253? (a) 5 (b) 3 (c) 2/9 (d) 0.72 a Which is the closest to 1? (a) 2/17 (b) 8 (c) 16 (d) 3 a Which is the nearest to 2.7? (a) 2 (b) -87 (c) 1.58 a What is the nearest to -0.01 in -5, 0.07, 107? 0.07 What is the nearest to -0.1 in -2, -18005, -2/11, 5? -2/11 What is the closest to -2 in 13671/8, -2/15, 2? -2/15 What is the closest to -1 in 16, -16/3, 2/9, -16/5, 1/4? 2/9 Which is the nearest to -1? (a) 2273 (b) 0.5 (c) 4 b What is the closest to 4.2 in -2/3, -4, 0.4, -5? 0.4 What is the closest to -1/6 in -5/4, -0.8, 4, 20, -1/4? -1/4 Which is the nearest to -2/19? (a) 19 (b) -0.2 (c) -11 b What is the closest to 0.13 in 1/193, 0.3, -4, -1? 1/193 What is the closest to -1 in 5, -0.3, 70, -3, -1/33? -0.3 What is the nearest to 0.5 in -236, 0.3, -5? 0.3 What is the closest to -21 in -1/39, 1/6, 0.3? -1/39 Which is the nearest to 87? (a) -3 (b) -0.2 (c) 2/3 (d) -2 c Which is the nearest to -1? (a) -3 (b) -15.2 (c) 21 (d) 4 (e) -2 e What is the closest to 2/35 in 2, 28, 5, -0.1? -0.1 Which is the nearest to 1/4? (a) -31/109 (b) -5/3 (c) -0.5 (d) -5 a Which is the nearest to 3? (a) 253 (b) -3 (c) 72 b Which is the closest to 0.3? (a) 17 (b) -14 (c) -2 c Which is the closest to 1? (a) -13/5 (b) 0 (c) -12 (d) -3 b Which is the closest to -2.9? (a) 0.3 (b) 1/2 (c) -3/5 (d) -0.0079 c Which is the nearest to -1? (a) 278 (b) 0.4 (c) 1/4 (d) 0 d Which is the nearest to 0.1? (a) 159 (b) -0.3 (c) -2/3 (d) -0.4 b Which is the nearest to -1/3? (a) -5/128 (b) -3 (c) -0.3 (d) 2/73 c What is the nearest to 0.544 in 2/11, 3, 16, 1? 2/11 Which is the nearest to 0.1? (a) 4 (b) 3/31 (c) -2/9 b What is the nearest to 1/3 in 9, 0.05, -2, -0.2, 57/16? 0.05 Which is the nearest to 2? (a) -2.8 (b) 2 (c) 0.053 (d) 0 b Which is the nearest to 11? (a) -5/6 (b) -6.3 (c) -0.5 c Which is the nearest to 1? (a) -5 (b) 4 (c) 142 (d) 0.1 d Which is the closest to -23/170? (a) 4 (b) -4 (c) 1/3 c What is the closest to -1/4 in -1, -2/49, 2.1, 4, 28? -2/49 What is the closest to 0 in 2/19, -31, -58? 2/19 Which is the closest to -2/275? (a) -0.1 (b) -1 (c) -40 (d) 3 a What is the closest to 45 in -3/5, 3, 4, 30, 0.3? 30 Which is the nearest to -0.2? (a) -0.2 (b) -5 (c) -2 (d) 362 a Which is the closest to 0? (a) -85 (b) 6/31 (c) -3.4 b What is the closest to 1 in -3, 1, 2/23, -2? 1 Which is the closest to 382? (a) 5 (b) 3 (c) -1.085 a What is the closest to 2/5 in 11, 2/23, -1/5, 3/2? 2/23 Which is the closest to -0.2? (a) 0.2 (b) -2 (c) 12132/47 a What is the nearest to -10.3 in 0.5, -4, 2/5? -4 What is the nearest to 38 in -8/63, 2/11, -1? 2/11 Which is the nearest to -1/3? (a) 4 (b) -18 (c) 1/2 (d) 2 c What is the closest to -18 in 4, -0.4, -5, 28/5? -5 What is the nearest to 3/4 in 2/29, 0.69, -12? 0.69 What is the closest to 1 in 4, 0.2, -0.428, -4, -3? 0.2 Which is the nearest to -69/2? (a) 0.6 (b) -1/3 (c) -4 c Which is the closest to 1? (a) -1 (b) 0.03 (c) 709/4 (d) 5 (e) -3/5 b What is the nearest to 1 in 5, -3/64, 0.09, 7, -1? 0.09 Which is the nearest to -1/2? (a) 6/11 (b) 0.3 (c) 2/9 (d) 1/28 d Which is the closest to 8? (a) -5 (b) -1 (c) 42 (d) 2/3 d Which is the closest to 1272? (a) -4 (b) -11 (c) -0.3 c What is the closest to -112 in -26, -0.9, -0.3, 0.1? -26 What is the nearest to -1 in 5, -0.13, -1520? -0.13 Which is the nearest to 0.81? (a) 1/7 (b) -10 (c) -5 a Which is the closest to 3? (a) 3 (b) -0.3 (c) 1 (d) -2/5 (e) 4 a Which is the nearest to -5/2? (a) 18 (b) -1/4 (c) -0.03 (d) 4 b What is the closest to -0.32 in 0, 1/5, -8? 0 What is the nearest to -1 in 354, -12, 3, 0.1, 0? 0 Which is the nearest to 0? (a) 246/5 (b) 2/9 (c) 12 b Which is the nearest to -5? (a) 4/5 (b) 0 (c) 376 b What is the closest to 2/13 in 2/53, -4063, -1/3, 0.5? 2/53 What is the closest to -10 in 0.7479, 0.5, -3? -3 What is the closest to 1/4 in -29, 4/7, 1/12, 2/5, -3/11? 2/5 Which is the closest to -37? (a) -8/163 (b) -3 (c) 1/3 b Which is the closest to 9/2? (a) -2/3 (b) 0.5 (c) 2/13 (d) -1/4 b What is the closest to -1.3 in 73, -6.2, 3? 3 What is the closest to -11 in 4, 10, -0.037, -3? -3 Which is the nearest to 3? (a) -2 (b) 11/8 (c) -0.2 (d) 1 (e) 9 b Which is the nearest to 0? (a) 27588 (b) -0.4 (c) -1 (d) -5 (e) -3/8 e What is the nearest to -0.06 in 0.4, -3, 0, -330? 0 What is the nearest to -1 in 5520/11, -0.4, -3? -0.4 Which is the nearest to -0.1? (a) -2/9 (b) -99 (c) 8 a What is the closest to -0.06 in 0, 19/5, 0.5, 8/23, -3? 0 Which is the nearest to -2? (a) 74 (b) -5 (c) 2/3 (d) 2/7 d What is the nearest to -4 in -4, -5, 2/9, -11.063? -4 Which is the nearest to -2213? (a) -0.2 (b) -0.5 (c) 3.9 (d) 5 (e) -4 e What is the nearest to -1/18 in 42, 0, 4/7? 0 Which is the nearest to -10? (a) -0.04 (b) -74 (c) -4 (d) -2 c Which is the nearest to -2/13? (a) -9 (b) 1/4 (c) -8/9 (d) 5 b What is the closest to 7 in -14, 5, 0.1, 50? 5 What is the closest to -0.3 in -1, -1/3, -765, -3, -7? -1/3 Which is the closest to -0.028? (a) -4 (b) 0 (c) 4 (d) -3 b What is the nearest to -0.11 in -6, 4, 0.3, 19? 0.3 Which is the nearest to 0? (a) -962 (b) 0.1 (c) -0.01 c Which is the closest to 70? (a) 2/23 (b) -0.8 (c) -5 a What is the nearest to -0.1 in -0.3, -5, -298, 1227? -0.3 Which is the nearest to -1.2? (a) -1/2 (b) -5 (c) -1/7 (d) 0.02 a Which is the nearest to 3/5? (a) -2 (b) -2/5 (c) 42 (d) -4/3 (e) -0.6 b Which is the closest to 3? (a) 0.3 (b) -9 (c) -752.2 a What is the nearest to 2.2 in -0.04, -0.1, 1/3, 1? 1 What is the nearest to -25 in -1, 3/2, 12, 0.4? -1 What is the closest to 2 in 2, 1, -25? 2 Which is the closest to -38? (a) 1 (b) -3 (c) -5 (d) -1/2 (e) 0.19 c What is the closest to -2/11 in 0.5, -3, -1229.4? 0.5 Which is the nearest to 0.1? (a) -6 (b) 1/3 (c) 3 (d) 3/2 (e) 3/59 e What is the nearest to 0.2 in 2/9, 0.1, 79, -2/19? 2/9 What is the nearest to 0.11 in 3/34, 3, -8/21? 3/34 What is the closest to -1 in 0, 1, 6, -40? 0 What is the closest to 3 in 3, 5, 24, -157? 3 Which is the closest to 4/865? (a) 0.1 (b) 3/2 (c) 30 a Which is the closest to -1? (a) -2/35 (b) -3 (c) -1.1 (d) -1 (e) 2/5 d What is the nearest to -0.1 in -376, -5, -2/9, 0.2? -2/9 Which is the nearest to -2/3? (a) -135851 (b) -3 (c) 2 (d) -2/3 (e) 1 d What is the nearest to -29 in 0.0585, -1, 0? -1 What is the closest to -0.08 in -5/964, 2, 1/2? -5/964 What is the closest to 4/11 in -0.3, -4/5, -0.0285, 22? -0.0285 What is the closest to 2/3 in -5, 13, -4, 170, 2/3? 2/3 What is the nearest to -1 in 16, -2/17, 18, 2? -2/17 What is the nearest to 0 in -2/63, -1/8, 3, -24, 4? -2/63 What is the closest to -25/37 in -0.3, 2/7, -0.1? -0.3 Which is the closest to 1/4? (a) 8.6 (b) 5 (c) 0.05 (d) 2/3 c What is the closest to 2.4 in -2/3, 1/451, -3/110? 1/451 Which is the nearest to 1? (a) -4.2 (b) -0.2 (c) 4 (d) 3 (e) -6 b Which is the nearest to -56? (a) 5 (b) -0.4 (c) -3 (d) 4 (e) -1/6 c What is the closest to 2/41 in 3575, 2/13, 0.3? 2/13 Which is the close
{ "pile_set_name": "DM Mathematics" }
*b**2 - 6*b + 2 - 516*b**2 + 2*b. Let g(x) = -4*x**2 - 9*x + 3. Let y(s) = w*p(s) - 2*g(s). Factor y(i). -2*(i - 1)*(i + 2) Let p(i) be the first derivative of -6*i**4 + 300*i**3 - 5625*i**2 + 46875*i - 2208. Determine m, given that p(m) = 0. 25/2 Let n be (1 + -5)*(-7230)/(-120). Let x = -1203/5 - n. Factor 0*k - x*k**2 + 2/5. -2*(k - 1)*(k + 1)/5 Let d(l) = -l**2 - 8*l + 9200. Let x be d(-100). Factor 0*m - 1/10*m**5 + 0*m**2 + x - 1/5*m**3 + 3/10*m**4. -m**3*(m - 2)*(m - 1)/10 Suppose o - 17 = -3*j + 7, -3*j = -5*o + 66. Factor 2*g**3 + o + 5*g + 164*g**2 - 172*g**2 - 7*g - 7. 2*(g - 4)*(g - 1)*(g + 1) Suppose s + a - 96 = 0, -12*s + 7*s + 484 = a. Suppose 32*t - s = -33. Factor -96/5*w - 576/5 - 4/5*w**t. -4*(w + 12)**2/5 Suppose 0 = 5*m + 2*w - 5 - 13, -5*m + 22 = 3*w. Factor 2970 + 2965 + m*v**2 - 5939 - 2*v. 2*(v - 2)*(v + 1) Let g be (-4 - 4)/(-2)*14/8. Suppose k + 156 = g*k. Factor -k*j**3 - 20*j**3 + 50*j**3. 4*j**3 Let u = 2870 - 2847. Let z(d) be the third derivative of -u*d**2 - 1/20*d**4 + 0 + 0*d + 3/10*d**3 + 1/300*d**5. Determine i, given that z(i) = 0. 3 Let h(t) = -1297*t - 42785. Let m be h(-33). Factor 8/9*o**2 + 4*o**3 - m*o - 32/9. 4*(o - 2)*(o + 2)*(9*o + 2)/9 Let b = 2612 - 2610. Let a be (20/6)/(21*(-5)/(-45)). Solve -5/7*x**b + 23/7*x + a = 0 for x. -2/5, 5 Let s be 1/4 + 0 + (-35)/(-4). Suppose -9 = -4*q - u, 2*q + s*u = 4*u + 9. Factor 3*x**2 - 4 - 2*x**2 - q*x**2 - x - 4*x. -(x + 1)*(x + 4) Let s(t) = 2*t**2 - 6*t - 39. Let r be s(-6). Find h, given that 75*h**5 - 110*h**2 - 318*h**3 - 904*h**4 + 1044*h**4 - 12 + 67*h**3 + 245*h - 18 - r*h**3 = 0. -3, -1, 2/15, 1 Let c(o) be the second derivative of o**4/20 + 69*o**3/10 - 814*o. Factor c(g). 3*g*(g + 69)/5 Let m(l) be the first derivative of -5*l**3/4 - 9755*l**2/8 - 1625*l/2 + 7810. What is f in m(f) = 0? -650, -1/3 Suppose -44*l = -21*l. Let q(w) be the third derivative of 1/30*w**4 + 1/75*w**5 - w**2 + l + 0*w + 0*w**3. Factor q(b). 4*b*(b + 1)/5 Let x = -223 - -225. Let i be (108/(-90))/(0/4 - x). Factor -i*f**2 - 6/5*f - 3/5. -3*(f + 1)**2/5 Let k(j) be the second derivative of j**3 - 236*j + 0 + 0*j**2 + 1/50*j**5 + 8/15*j**4. Determine f, given that k(f) = 0. -15, -1, 0 Let f = -56829 + 113665/2. Determine o, given that f*o + 0 + 1/4*o**2 = 0. -14, 0 Let p = 1404/241 - 3971/723. Let n be 6/8*6/27. Let p*s**2 + 0*s + n*s**3 + 0 = 0. Calculate s. -2, 0 Let g be 17 - 7 - 10/2. Let 4*w**5 + 8*w**2 - 8*w**4 - 3*w**g + w**3 - 9*w + 2*w**5 + 5*w = 0. Calculate w. -1, 0, 2/3, 1, 2 Find g, given that -4/3*g**2 - 1628/3 + 544*g = 0. 1, 407 Let i(a) = a. Let q be i(5). Let b(k) = k**3 - 5*k**2 - 15*k + 9. Let h be b(7). Factor f**q - h*f**4 + f**4 + 2*f**4 - 2*f**5. -f**4*(f - 1) Factor 6840 + 158/5*a**2 + 2/5*a**3 + 816*a. 2*(a + 19)*(a + 30)**2/5 Let r(j) be the third derivative of -j**7/42 - 13*j**6/24 - 15*j**5/4 + 125*j**4/24 + 625*j**3/3 - 1085*j**2. Factor r(w). -5*(w - 2)*(w + 5)**3 Let a be 0 - (5 - (20 + -12)). Let z(w) be the first derivative of -17 + 6*w**2 - 4/3*w**a + 0*w. Factor z(v). -4*v*(v - 3) Let p(n) = 254*n - 57655. Let x be p(227). Suppose 0 - 1/3*a**x + 2/3*a**2 + 0*a = 0. What is a? 0, 2 Let v = 1296 + -1331. Let f be 7*(-25)/v - 2. Solve -8/3 - 4*u + 4*u**f + 8/3*u**2 = 0 for u. -1, -2/3, 1 Let a = 2554097/8 - 319262. Determine j so that -a*j**2 - 45/2*j - 2025/2 = 0. -90 Let p be (-4 + (-539)/(-42))*-4. Let f = p + 36. Factor 8/9*q**3 + 0 + f*q**2 + 0*q + 2/9*q**4. 2*q**2*(q + 1)*(q + 3)/9 Let b be (2/(-2))/(3/(-15)). Suppose 4*u + 4*u = b*u. Factor 2*a + 3*a**2 + u*a**2 - 20*a + 0*a. 3*a*(a - 6) Find r such that -114921/2*r + 1017/2*r**2 - 3/2*r**3 + 4328691/2 = 0. 113 Suppose -2*k = -16*q + 14*q, 4*k + 5*q = 18. Let c(l) be the first derivative of 10 + 0*l + 3/10*l**k + 0*l**3 - 3/20*l**4. Suppose c(f) = 0. Calculate f. -1, 0, 1 What is f in -2039941*f**3 + 137455 - 432367 - 293376*f + 2039939*f**3 + 1534*f**2 = 0? -1, 384 Let k = -405 - -427. Suppose 21 = k*a - 89. Factor -4/3*x**3 - 2/3*x**a + 2*x + 2/3 - 2*x**4 + 4/3*x**2. -2*(x - 1)*(x + 1)**4/3 Let h be 3*(-20)/5*(-6)/4. Suppose 0 = 3*t + 3*s - h, -5*s - 14 = -t - 10*s. Factor -15*y**3 + 5*y**t + 10*y**2 - 11 + 11. 5*y**2*(y - 2)*(y - 1) Let u = -11 + -284. Let c = u + 591/2. What is o in 5/4*o + o**2 + c + 1/4*o**3 = 0? -2, -1 Let v(a) be the third derivative of 1/490*a**7 + 81*a**2 - 3/140*a**5 + 0*a - 2/7*a**3 - 1/140*a**6 + 1/7*a**4 + 0. Determine z, given that v(z) = 0. -2, 1, 2 Let l be ((-110)/150)/(276/46 + (-74)/12). Factor -l*g - 4 - 2/5*g**2. -2*(g + 1)*(g + 10)/5 Let o = 711 + -679. Determine b, given that 0*b**4 - 5*b**4 - o*b + 12*b**3 + 5*b**4 - 24*b**2 + 4*b**4 = 0. -4, -1, 0, 2 Let b(o) be the third derivative of -o**6/120 + 13*o**5/60 - 23*o**4/12 + 8*o**3 + 3*o**2 + o - 616. Factor b(h). -(h - 8)*(h - 3)*(h - 2) Let q be 9/(-12) - 519/12. Let l be 4/q*-14*20/35. Factor -6/11*a**3 - 16/11 - l*a + 20/11*a**2. -2*(a - 2)**2*(3*a + 2)/11 Let x(r) = -40*r**3 + 113*r**2 - 216*r - 3. Let c(l) = 53*l**3 - 114*l**2 + 216*l + 4. Let q(n) = 3*c(n) + 4*x(n). Factor q(v). -v*(v - 108)*(v - 2) Suppose -123*j + 488 + 865 = 0. Let n = -3 + 5. Let -8*m**3 - 5*m**n + 23*m**3 - 5*m**4 + 0*m**2 - j*m + 10 - 4*m = 0. What is m? -1, 1, 2 Let i = 50150 + -50148. Find c, given that 3 - 15/4*c**i - 3/4*c = 0. -1, 4/5 Let j = -234 + 238. Determine n so that -2*n**4 + 21*n**2 + 0*n**4 - 11*n**2 - 6*n**3 + n**5 + n**5 - j*n = 0. -2, 0, 1 Let b(n) be the third derivative of n**8/168 - 2*n**7/105 - 7*n**6/60 + 4*n**5/15 + n**4 + 853*n**2. Solve b(g) = 0. -2, -1, 0, 2, 3 Suppose -41*f + 30 = -38*f. Factor 2*x**5 + 2*x**2 + 11*x + x**3 + 17*x**3 - 16*x**2 - 2*x - 5*x - f*x**4. 2*x*(x - 2)*(x - 1)**3 Let g(r) be the second derivative of -5/6*r**4 + 0 + 5*r**2 + 20*r - 5/6*r**3. Let h(a) = -9*a**2 - 4*a + 9. Let w(t) = 4*g(t) - 5*h(t). What is q in w(q) = 0? -1, 1 Suppose 17*q = 39*q - 132. Let 35 - 35*h - q*h**2 + 13 - 13*h - 3*h**2 - 6*h**2 = 0. Calculate h. -4, 4/5 Factor -901*p**2 - 308*p + p**4 - 458*p**3 - 693*p + 282*p**3 + 277*p. p*(p - 181)*(p + 1)*(p + 4) Let l(c) be the second derivative of c**6/30 + 2*c**5/15 + c**4/6 + 49*c**2/2 - c - 30. Let b(g) be the first derivative of l(g). Find w, given that b(w) = 0. -1, 0 Let u be ((-156368)/(-1276) + -124)/((-3)/11). What is b in 221/6*b + 1/6*b**3 + u*b**2 - 289/3 = 0? -17, 2 Let p be 1*(-8)/6*30/(-8). Suppose 0 = -5*i - 5*g + 25, -4 - 2 = 3*i - 4*g. Find h such that 5*h**2 - p*h**2 + 2 + 2*h**i + 0*h**2 + 4*h = 0. -1 Let y(t) be the third derivative of -263*t**5/30 - 2629*t**4/30 + 8*t**3/15 - 101*t**2 + 9. Factor y(i). -2*(i + 4)*(1315*i - 2)/5 Factor -4775/3*c**2 - 290/3*c + 55*c**3 + 0. 5*c*(c - 29)*(33*c + 2)/3 Let p(v) be the third derivative of 5*v**8/336 - 4*v**7/7 - 55*v**6/24 + 37*v**5/6 + 45*v**4/2 - 260*v**3/3 + 722*v**2 + 1. Find a such that p(a) = 0. -2, 1, 26 Let h(r) be the third derivative of -1/3*r**3 + 1/120*r**6 - 1/24*r**4 + 1/20*r**5 - 5*r**2 - 1/210*r**7 + 0*r - 5. Factor h(u). -(u - 2)*(u - 1)*(u + 1)**2 Let r(k) be the first derivative of k**6/540 - 17*k**5/270 + 20*k**4/27 - 64*k**3/27 - 61*k**2/2 + 71. Let l(p) be the second derivative of r(p). Factor l(u). 2*(u - 8)**2*(u - 1)/9 Let m = 629518 + -2518067/4. Suppose 5/4*h**2 - 5/2 + m*h = 0. What is h? -2, 1 Let m = -102 + 841. Let v = -2215/3 + m. Solve -1/3*y**3 + v*y - 1/3*y**2 + 0 = 0. -2, 0, 1 Determine b, given that 0 - 1/5*b**5 + 3/5*b**3 + 0*b**2 + 2/5*b**4 + 0*b = 0. -1, 0, 3 Let v(i) be the third derivative of -i**5/60 + 149*i**4/12 - 8*i**2 + 271. Find r, given that v(r) = 0. 0, 298 Let g(s) be the third derivative of -3*s**3 + 0 - s**4 - 13/120*s**5 + 0*s - 23*s**2 - 1/240*s**6. Let g(n) = 0. What is n? -6, -1 Let g(q) be the third derivative of -q**5/120 - 7*q**4/8 + 45*q**3/4 - 3*q**2 - 1605. Let g(b) = 0. Calculate b. -45, 3 Let h = -50530/39 + 16904/13. Suppose -h - 2/3*i**2 + 29/3*i = 0. What is i? 1/2, 14 Let i(u) = 6*u**2 - 58*u + 174. Let z(j) = -j**2 - j + 1. Let v(k) = i(k) + 2*z(k). Factor v(o). 4*(o - 11)*(o - 4) Suppose 293*p - 283*p - 4000 = 0. Let z(q) be the first derivative of -p*q - 21 - 4/3*q**3 + 40*q**2. Find h such that z(h) = 0. 10 Factor 4470*m**2 + 673*m**3 + 300642*m - 857154*m + 369024 - 682*m**3. -3*(m - 248)**2*(3*m - 2)
{ "pile_set_name": "DM Mathematics" }
-13*z - 22*z + 28*z - 19, 5*g - 3*z = 4 - 0 for g. -1 Solve 3*x - 6*x + 33 = 0, -x + 2 = -24*w + 25*w + 2*x - 34 for w. 3 Solve 11*q + g - 19 = 23*q - 17*q + 14, 8*g = 64 for q. 5 Solve -6*o + 498742*q - 498673*q = -231, 0 = -o - 5*q - 11 for o. 4 Solve 1268*n + y - 84 = 1286*n, -2*y = 4*n - 60 + 12 for n. -3 Solve j + 1049 - 1035 = 2*j - 2*i, 0 = -3*j - 2*i + 58 for j. 18 Solve 33 = 161*f - 154*f + 3*k, 24 = 4*f + 3*k for f. 3 Solve 46*t - 14*t - 15*t = 8*t + 12*t + 11*m + 89, -2*t = -4*m - 20 for t. -4 Solve 0 = 5*f - 4*d + 58, 280*d - 141*d + 6 = 137*d for f. -14 Solve -x - 4*y - 36 = 3*x, -2*x + 3*y - 61897 = -61899 for x. -5 Solve 0 = 5*a + 25, 19*u - 24*u = -5*a - 50 for u. 5 Solve -2*f = -3*d - 7, 4*f + 81 = -9*d + 5*d + 45 for f. -4 Solve -r - 4 = 6, o + 7789 = 3*r + 7822 for o. 3 Solve -2*x = 5*v - 67, -x + 6*x + 5167*v - 5168*v = 235 for x. 46 Solve a - 17023*b + 17042*b - 92 = 0, 0 = 4*a - 5*b + 37 for a. -3 Solve 5*y = 4*z - 151, -1847654 = 2*z - y - 1847725 for z. 34 Solve 2*m + 71 = 3*q, q - 81 = 9*m + 57 + 70 + 49 for m. -28 Solve -5*o = -5*x + 3407 - 3447, -x + 193 = 66*o for o. 3 Solve 5*o + 20458 = -5*s + 20668, -2*o - 17*s + 84 = 0 for o. 42 Solve 4*u = -2*h - 38, 1465*h - 217*u = 1470*h + 1751 for h. -3 Solve -47*k + 24*k = -9*u - 25*k + 32 + 18, 5*u - 2*k - 6 = 0 for u. 4 Solve 15 = -38*l + 43*l, -2*r + 2*l = 16 for r. -5 Solve 0 = -2*y - 2*a - 481 + 495, 2*y = -a - 0*a + 10 for y. 3 Solve 17133*l + 2*i + 4 = 17132*l, 16 = -4*l + 2*i - 0*i for l. -4 Solve 3*v + r = -0*v + 5, -51 = 26*r - 54*r + 25*r for v. -4 Solve -13 + 32 + 9 - 10 = -5*n + 4*m - 51, -4*n - 3*m = -13 for n. -5 Solve 2*m - 548*n = -550*n + 30, 0 = -60*m - n + 605 for m. 10 Solve -2*z - 19*o = 11, -11045*z - 2*o + 11 + 7 - 1 = -11046*z for z. -15 Solve 155 = 5*i + 4*v, -44*v = i + 11*i - 17*i - 85 for i. 27 Solve 5*r + 3*m = -4*r + 5 - 143, 4*r + 37 = -4*m - 11 for r. -17 Solve 4*g - 2*f - 39 = -117, 0 = -g - 2*f + 5*f - 52 - 40 for g. -5 Solve -3*c - 3*y = 117, 0 = -290*c + 75*c + 216*c - 2*y - 69 for c. -3 Solve 5*y - 211 = b, 3*b + 3173*y = 3175*y - 74 for b. 4 Solve 322 = 3*m - 4*y, -y + 389 - 514 = -23*m for m. 2 Solve 57 = -258*w + 124*w + 125*w + 5*j, -4*w - 6 = j for w. -3 Solve 67*o = 2*j + 13*o + 962, 0 = 3*o + 12*o - 12*o - 54 for j. 5 Solve 2*d + 40 = 5*q, d = -124*q + 128*q - 8 - 3 - 18 for q. 6 Solve 62 = -7*x + 532*l - 534*l, -4*x + 2*l = -0*x + 5 + 21 for x. -8 Solve -941*v + 937*v = -5*t + 85, -4*t = -3*t - 3*v - 6 for t. 21 Solve 2*h - 4*w = -160 + 168, -9*h + w = -h - 2 for h. 0 Solve -30 = 151*z - 150*z + 2*x, 2*z + x + 177 = 159 for z. -2 Solve -2*n = -5*m + 22, 24*m = -207993*n + 207988*n + 91 for n. -1 Solve -63*g - 1 = -t - 64*g, 12*t - 8*t + 14*g = -16 for t. 3 Solve 771 = -5*o - 203*d - 835 - 1048, 3*o + d = -22 for o. -3 Solve 91*j = -15*t + 88*j - 360, 4*t + 125 = 5*j for t. -25 Solve -3*d + 31 = 5*m - 47 - 63, 3*m + 5*d = 361 - 110 for m. -3 Solve 367*z - 735*z = -366*z + 2*u + 30, -z = -7*u - 9 for z. -12 Solve 87 = 7*r - 8*z + 10*z + 5, 0 = r - 2*z - 9 + 107 for r. -2 Solve 0*c - 202 = 4*b - 5*c - 24*c, -c = -2*b - 74 for b. -36 Solve m + 126 = -4*o + 185, 6*o = -2*m + 86 for m. -5 Solve -2*s = 5*d - 7, 2*s + 2*d - 1865 = -1861 for s. 1 Solve -4*v - 2*j + 4*j + 10 = j + 3*j, 0 = -88*v + 93*v + 5*j for v. 5 Solve -r + 29 = -0*r + 5*q, 13 = 16*r + 213*q - 212*q - 56 for r. 4 Solve 141*c - 17 = 142*c - 4*z, 4*c - 74*z + 184 = 0 for c. -9 Solve 1854*i - 2*d - 22 + 190 = 1873*i + 2*d, 4*d - 96 = -i for i. 4 Solve -4*s - 77 = -2*x + 9, 36854*x = -s + 36860*x - 269 for s. 1 Solve -46579*p - 6 = -46579*p + 2*s, -2*s - 6 = 4*p for p. 0 Solve 2*u + 0*w - 3*w = -9, 2*u - 218 = 2*w - 433 + 211 for u. 3 Solve 7*p = 3*p - 5*l + 61, -127*p - 143*p - l = -273*p + 60 for p. 19 Solve 216*k + 4665*x - 4664*x = 856, -8 = 3*k - k + 2*x for k. 4 Solve 29*f = f + 4*p + 80, 0*p - 28 = -5*f + 10*p - 7*p for f. 2 Solve 0 = o + 4*k + 56, -3*k + 35 = -529*o + 527*o - 2*k - 95 for o. -64 Solve -3*t = -12*t + 11*u + 33, 0*t - 2*t - 4*t - 12 = -8*t + 4*u for t. 0 Solve a + a = -7*v + 15, 332*v - 2 - 23 = 3*a + 333*v for a. -10 Solve 7 = -3*p - 4*v - 16, 65*p = -31*v + 30*v - 584 for p. -9 Solve -2*z + 0*z - 4*c - 40 = 0, -5*c - 86475 = -30*z - 2*c - 87138 for z. -22 Solve 3*n - 525817*r + 67 = -525815*r, 0 = -6*n + 5*r - 172 for n. 3 Solve 5*w + 3*n + 5 = 0, -8*w + 16*w - 17 = 12*w + 5*n for w. 2 Solve 9*j - 19*j - 28 = -2*b + 20, 3*b + 3*j = 0 for b. 4 Solve 0 = 2*j - 4*y + 18, 5*j - 4*y + 8450 = 8417 for j. -5 Solve -3*z - 3*a + 12 = 0, -6328*a + 6333*a - 19 = -4*z for z. 1 Solve 0 = 6*k - k - w - 22, 44*w + 394 = 235*k + 91*k + 40*w for k. 1 Solve 0 = -2*r + 5*k - 27, -3*r - 2749*k = -2752*k + 9 for r. 4 Solve -2*i + 12*i - 2*a = 7*i + 60, -i + a + 31 = 0 for i. -2 Solve 4*q + 0*q - 30 = 3*l, 133179*l = -q + 133177*l + 2 for q. 6 Solve -3*i = 14*z - 7*z - 73, -105442*i + 105446*i - 72 = -3*z for i. 15 Solve -28 = q - 0*q + 5*n, 173*q + 5*n + 3421 = -89*q for q. -13 Solve 5*g + s - 88 = 0, 18*s - 14*s - 145 - 147 = -5*g for g. 4 Solve 1 = 364350*d - 364355*d - 2*c, -5*d + 2 = c for d. 1 Solve 0 = 4*m + 16, 72*a + 5*m + 40 = -78*a + 210*a - 55*a for a. 4 Solve 2*c - 4*x - 74*x + 556 = 6*c, -5*c + x + 301 = 0 for c. 61 Solve -3*l = 4*d - 112, -48*d - 2*l + 3*l + 187 = -41*d + 6*l for d. 1 Solve 490*r + 57 = 486*r + 9*y - 50, 5*r + 144 = y for r. -29 Solve 4*k = 21*o + 106, -31*k - 96 = -o + 53 for o. -6 Solve -4*a + 104 = -4*f, 2078*f + 86 = 3*a + 2083*f for a. 27 Solve -p = 3*h + 2, 2532 = 3*h + 19*p + 2570 for h. 0 Solve k + 5630*h = 5631*h + 50, 3*k + 221 = -4*h for k. -3 Solve 0 = -4*j + 116*u - 115*u + 23, 6*j = -4*j + 5*u + 65 for j. 5 Solve 26981*k - 26976*k - 7*d = -2*d + 40, -2*k + 58 = -k - 6*d for k. -2 Solve 4*y + 16 = -3*c, -11506*c + 11485*c = y - 77 for y. -7 Solve -5*u - 9*h = h - 35, 0 = 2*u + h + 3242 - 3241 for u. -3 Solve -1 = 2*v - 3*z + z + 13 - 12, v - 10*z - 17 = 0 for v. -3 Solve 5 = 2*a + 11, -4*c - 37*a + 40*a = -229 for c. 55 Solve -6*q - 32 = -4*h, -2*h = -2*q - 11443 + 11431 for h. 2 Solve 2*f = -50461*x + 50466*x + 123, 9*x - 372 = -5*f for x. 3 Solve c + 6*d + 43 = 0, 966*d - 962*d + 22 = -2 for c. -7 Solve 6*a + 341 = -5*a, 79 = 2*j - 5*a - 78 for j. 1 Solve 0 = -28338*n + 28334*n + 2*x - 44, 0 = 13*n - 5*x + 140 for n. -10 Solve w = 3*w - 2*n - 32, 2*n + 1012 - 970 = 0 for w. -5 Solve -j = 5*m + 4587 - 4603, -m - 5*j = -32 for m. 2 Solve -4*z + 7 = 8*j - 12*j + 71, 0 = 2*j + 2*z - 179 + 171 for j. 10 Solve 3*q + 3*k = -21, -74*q - 3*k = -66*q + 21 for q. 0 Solve h - 296 = 23*w, -321*w = -316*w - 3*h - 2*h + 50 for w. -13 Solve 83 = -5*s + 26*o, -20*s - 3 + 1 = -28*s - 2*o - 4 for s. -1 Solve -2*b + 2 + 43 + 59 = -14*j, -b = -j - 10 for b. 3 Solve 0 = -4*r - 24, -208*r + 102*r + 1 = 8*v - 101*r + 39 for v. -1 Solve 0 = 27*d - 21*d - 5*h + 99, 5*h - 22 = -4*d - 113 for d. -19 Solve 7*u + 2*w + 123 = -116 + 249, -u - 5 = w for u. 4 Solve 0 = 6*u - 108, -6*u = 3*g + g - 8538 + 8426 for g. 1 Solve -16*l - 3*x + 91 = -2*l, -2*l + 87 = -10*l + 3*l + 16*x for l. 5 Solve -2*l = -c - 23, -5*c + 56872*l - 37 = 56868*l for c. 3 Solve -x = -74*i - 811, 0 = -5*i + 5*x - 47 + 7 for i. -11 Solve 0 = 4*s - 3*q + 3, -s - 4*q - 344 = -734 + 367 for s. 3 Solve 4504 = 4*d + 11*p + 4459, 5*p = 15 for d. 3 Solve 406 = -23*q + 2*u, 5*q + 70 = 7588*u - 7583*u for q. -18 Solve 34 - 44 = 4*d + z, 5*z + 42 = -13*d + 13 for d. -3 Solve 2*t + 4037 = 3*t - 53*v + 3831, 5*t - v = -26 for t. -6 Solve -5*n + v + 25 = 21 - 1 + 23, -6*v + 69 = -69 for n. 1 Solve 4*v = -4*r - 727 + 855, -9*v = 6*r - 5*r - 256 for v. 28 Solve -8*w - w + 6*y = 7*y - 73, 4*w + 323*y - 320*y = 150 for w. 3 Solve -z + 39*s - 21*s + 7 = 16*s, 5*s - 41 = -4*z for z. 9 Solve 3*y + 39 = 3*c, 1920 = y - 2*y + 33*c + 1363 for y. 4 Solve -n = 1, n = -192*p + 190*p - 25 for p. -12 Solve 287103 = -y + o + 287098, 0 = 3*y - o + 9 for y. -2 Solve 4*z - 32 = b, 1174*b - 1173*b + 32 = 2*z for b. -32 Solve 11*z = 20*y - 23*y + 10*z - 8, z = 3*y + 22 for y. -5 Solve -10*l - 131 = 19*s, 10 = 4*l + 35 + 16 + 19 for s. 1 Solve 2*k - 4*c = -52, 37*k + 30*k - 224 = 68*k + 64*c for k. -32 Solve 0 = 5*k - 39*s - 1019, 272*k + 51 = 271*k - 2*s for k. 1 Solve 2*o - 3*l + 19 = 40 + 55, -10*o + 42 = -2
{ "pile_set_name": "DM Mathematics" }
- 5*f + 21 = -4*g. Calculate b(g). 22 Let l(a) = -6*a + 7. Let t(o) = 5*o - 7. Let s = -72 + 68. Let m(c) = s*t(c) - 3*l(c). Determine m(5). -3 Let l = 15 + -10. Let x(h) be the first derivative of -h**2 - 2*h + 2. Let g(f) = 5*f + 7. Let u(c) = -3*g(c) - 8*x(c). Give u(l). 0 Let b(a) = a**2 + 13 - 19 + 25*a**2 - 5*a. Let n(h) = -27*h**2 + 6*h + 7. Let i(f) = 7*b(f) + 6*n(f). Calculate i(-1). 19 Let t(b) = b**3 + 13*b**2 + 12*b + 3. Suppose 13 + 59 = -6*q. Give t(q). 3 Let g(p) = 2*p + 16. Let w be g(-7). Suppose -w*t = -3*u + 11, -t - 3 = -u + 1. Let d(c) = -1 - u*c + c + c**2 - 1. Calculate d(3). 1 Let n(m) = 19*m - 13*m + 24 - 7*m. What is n(13)? 11 Let c(x) = x**3 + x**2 - x. Let w(j) = -5*j**3 - 11*j**2 + 13*j - 6. Let i(s) = -4*c(s) - w(s). Calculate i(-8). 14 Let g(n) be the third derivative of -n**4/12 - 5*n**3/6 - 2*n**2. Let p(y) = 8*y - 21. Let z be p(-5). Let k = -66 - z. Determine g(k). 5 Let h(f) = -3*f**2 + 7*f + 2. Suppose 2*l - 4*i - 22 = -i, 37 = 5*l - 3*i. Give h(l). -38 Suppose 115*v = 31*v - 252. Let p(d) = -11*d - 5. Determine p(v). 28 Let w(l) = l**2 + 6*l - 1. Let a be 6/(-15) + 340/(-25). Let d = a - -8. Determine w(d). -1 Let z(t) = -t**3 + t**2 + t. Let x(j) = -7*j**3 + 10*j**2 + 14*j + 1. Let w(q) = -x(q) + 6*z(q). Give w(6). 23 Let f(h) = -8*h + 4. Let n(i) = -i. Let w = 49 - 35. Let b(x) = w*n(x) - 2*f(x). Calculate b(6). 4 Let j(p) = 17*p**3 + 29*p**2 + 31*p + 1. Let w(d) = -3*d**3 - 6*d**2 - 5*d. Let b(k) = 2*j(k) + 11*w(k). Give b(7). 2 Let m(b) = 583*b + 589*b - 1170*b - 4. Give m(-7). -18 Let u(f) = -6*f + 10 - 18*f**3 - 10*f**2 - 2*f + 17*f**3. Let o be u(-9). Let x(q) = q - o + 6 + 3 - 5. What is x(-4)? -1 Let z(r) = r**3 + r**2. Let w(b) = -3*b**3 - 6*b**2 - b + 2. Let h(q) = -w(q) - 2*z(q). Let u = -11 - -7. Calculate h(u). -6 Suppose -5*t - 5*m = -10*t + 5, 0 = m. Let q(l) = 25*l**3 - 2*l**2 + l. Calculate q(t). 24 Let x(i) = i**3 + 5*i**2 - 7*i - 8. Let k = 8 - 8. Let f be k*(-2)/(-8) - -6. Let z(g) = -g**3 + 5*g**2 + 6*g - 6. Let d be z(f). Give x(d). -2 Let n(a) be the third derivative of a**4/24 - a**2. Suppose 27 = -13*l - 12. Give n(l). -3 Let h(v) = 4*v + 5. Let f be h(-4). Let i(b) = -b - 4. Let d be i(f). Let z(l) = 13*l**2 - 5*l**2 - 2 + 6*l - d*l**2. Give z(-5). -7 Let r(q) = 16*q**3 - 5*q**2 + 7*q. Let x be ((-84)/(-49))/((-3)/42*-4). Let w(n) = -32*n**3 + 11*n**2 - 15*n. Let h(c) = x*w(c) + 13*r(c). Calculate h(-1). -16 Let r(t) be the third derivative of 0*t**5 + 0*t**3 - 1/24*t**4 + 0 + 0*t - 8*t**2 - 1/20*t**6. Give r(-1). 7 Suppose -3*v - 2 = 4, -4 = -4*k - 2*v. Let h(r) = 2*r - k + 4 + 33*r**2 - 34*r**2 + 0. Determine h(2). 2 Let m(d) = d**2 - 3*d - 4. Let k(f) = -6*f + 31. Let x be k(4). Calculate m(x). 24 Let s(c) be the second derivative of -5*c**3/6 - 74*c + 2. Calculate s(1). -5 Let j(r) = -r**2 + r - 7. Suppose -3*q - 5*y + 6 = 1, 2*q = -3*y + 3. What is j(q)? -7 Let g(f) be the second derivative of f**3/6 + 3*f**2 - 3*f + 24. Determine g(-6). 0 Let q(x) = -x**3 - x**2 + x + 2. Suppose -5*u = -13*u + 56. Suppose 5*n = -17 + u. Give q(n). 4 Let o(k) = -3 + 0 + 38*k - 85*k + 46*k. Give o(-6). 3 Let h(c) = -8*c - 11. Let v(j) = 4*j + 5. Let n(l) = 6*h(l) + 13*v(l). Suppose 30 = 4*u + i - 4, u = -4*i + 16. Let f be (((-165)/10)/11)/(6/u). Determine n(f). -9 Let p be -1 - (-8 - (-2)/2). Let v(s) = 69 - 149 + 69 + 6*s. Let h(f) = -7*f + 13. Let o(x) = -3*h(x) - 4*v(x). Calculate o(p). -13 Let b(m) be the first derivative of m**5/60 + 7*m**4/24 - m**3/2 - 3*m**2 + 14. Let h(n) be the second derivative of b(n). Give h(-8). 5 Let g(z) = -5*z**2 + 21 - 16 - 10*z**3 - 7 + 4*z**2 + 2*z. Determine g(1). -11 Let j be 3 - 0 - 4 - 2. Let t(y) = -y**3 - y**2 + 3*y + 3. Determine t(j). 12 Suppose 5*h - b - 45 = 0, 3*h - 2 = 4*b + 8. Let m be (-2)/((8/h)/2). Let j(l) = -l**2 - 4*l + 1. Determine j(m). -4 Let g be -12*5/30*-3. Let s(p) = -2*p**2 + 7*p**2 - 7*p + p**3 - g - p**2. Determine s(-5). 4 Let t = 225 - 223. Let w(u) = u**3 + 2*u**2 - 2*u + 2. Calculate w(t). 14 Let a(j) = -j**3 + 7*j**2 - 10*j - 7. Let g be a(3). Let b be (8 - 4)*-1 - g. Let v(k) = 0*k**2 - k + 3*k**2 + k**3 - 4 + 3. Give v(b). 2 Let a(o) = -2*o**2 - 11*o - 1. Let l = 1514 - 1520. Calculate a(l). -7 Let c(i) be the first derivative of i**7/840 + i**6/60 + i**5/60 - i**4/4 + 11*i**3 + 23. Let h(p) be the third derivative of c(p). Calculate h(-5). 9 Let b(x) = -x - 6. Let f(q) = q + 5. Let o be 6 - (3/3 - -1). Let w(y) = o*b(y) + 6*f(y). Determine w(-5). -4 Let b(n) = -2*n**2 - 5*n - 3. Let t be (-5)/(-3 - (-4)/2). Let p(d) = 0*d**2 - 1254 + 8*d + 3*d**2 + 1258. Let r(f) = t*p(f) + 8*b(f). Calculate r(0). -4 Let g(k) = 515 + 4*k - 513 - k**2 + 4*k + k. What is g(10)? -8 Let o(y) be the third derivative of y**5/10 - y**4/24 - y**2. Let j be ((-30)/105)/(((-12)/(-30))/(7/(-5))). Calculate o(j). 5 Let o(c) = 4*c - 16. Let a be -7 + (-48)/56*-14. Give o(a). 4 Let v(u) = 4*u**2 + 2*u - 3. Let h(s) = -s**3 + 12*s**2 + 12*s + 18. Let p be h(13). Let o(b) = 3*b**2 + b - 3. Let n(a) = p*o(a) - 4*v(a). Give n(-2). -1 Let w(p) = p - 11. Let h(i) = 2*i + 29. Let o be h(-12). Suppose 3*v - 64 = -o*v. Calculate w(v). -3 Let p(q) = -q**3 - 8*q**2 - 8*q - 10. Let y be ((-55)/(-10))/((-3)/(-12)). Let j = y + -29. Determine p(j). -3 Let i(y) = -y**2 + 4*y + 4. Let q(s) = -s**3 - 11*s**2 - 10*s + 9. Let d be q(-10). Let b be d/6*(-2)/(-3). Let n = 3 + b. Calculate i(n). 4 Let f(x) be the third derivative of -x**8/6720 - x**7/630 - x**6/720 + x**5/40 - x**4/4 - 3*x**2. Let k(o) be the second derivative of f(o). What is k(-3)? -3 Let i = -406 + 402. Let v(p) = -2*p - 1. Calculate v(i). 7 Let x(f) = -f**3 + 5*f**2 - 5. Let b(r) = -r**2 - 30*r - 51. Let m be b(-28). Calculate x(m). -5 Let g(c) be the second derivative of c**3/6 - 3*c**2/2 + 2*c - 80. Calculate g(-4). -7 Let d(v) be the second derivative of -v**4/6 - 5*v**3/3 + 2*v**2 + 92*v + 1. Give d(-5). 4 Let t(k) = -k + 15. Let i be t(8). Suppose r + i = -0. Let b = -5 - r. Let j(p) = -2*p**3 + 4*p**2 - 3*p. What is j(b)? -6 Let v(f) = -6*f - 9 - 4*f - 3*f + 8*f + 0*f. What is v(-6)? 21 Let i(u) = 66*u - 205*u + 16 + 72*u + 66*u + 0. Determine i(6). 10 Let g(h) be the second derivative of -h**5/20 + 5*h**4/12 + 3*h**2 + 5*h. Let o be ((-10)/(-4))/(3/6). Determine g(o). 6 Let q(o) = 4*o**3 + 5*o**2 - 8*o + 23. Let s(x) = -9*x**3 - 9*x**2 + 15*x - 42. Let a(p) = -11*q(p) - 6*s(p). Let c be (1 - 0)*-1 - 0. Determine a(c). -10 Let v(i) = 11*i - 6. Let r(l) = 4*l - 3. Let o(p) = -17*r(p) + 6*v(p). Calculate o(5). 5 Suppose c - 15 = 3*t + 4*c, -c + 19 = -3*t. Let i be -2 - -1 - 24/t. Let v(f) = 57*f + f**i - 4*f**2 - 63*f + 3 - 1. Give v(5). -3 Let w(d) = 2*d - 33 + 25 + 5. Give w(5). 7 Let a(b) = -1 - 9*b + b**3 - 1 - 6*b**2 + 16*b. Let i be a(5). Suppose -m - m - v = -8, -i = -4*v. Let r(k) = -k**2 + 3*k - 2. Determine r(m). -2 Let b(u) = 1832*u - 5506*u + 1834*u + 1841*u - u**3 - 2. Let k be 1 + (-2)/(-2)*-1. Give b(k). -2 Let r(j) = -j**2 - 7*j - 4. Let m be r(-6). Let z(t) = -10*t**2 - 12*t**m + 14*t**2. Give z(-1). -8 Let s(k) = -1 + k**2 + 2 + k + 2*k. Let x(d) = -5*d**2 - 15 + 23 - 6*d - d**2 - d**3 - 15. Let g be x(-5). Determine s(g). -1 Let n(p) be the third derivative of -p**5/60 - p**4/12 + 7*p**3/6 - p**2. Let c be -2*(-1)/8 + 425/(-68). Calculate n(c). -17 Let y(p) = 6*p + 14. Suppose 10*i - 60 = 30*i. What is y(i)? -4 Let g(z) = z - 3. Let j = 4 + -6. Let v(d) = d**3 - 26*d**2 - 5*d + 132. Let r be v(26). Let w be r*1/j*-3. Give g(w). 0 Suppose -2*c = 4*c + 36. Let b(r) = r. Determine b(c). -6 Let o(q) = -2*q + 3 + 4*q**2 - q - 3*q**2. Let z(n) be the first derivative of n**3/3 - 3*n**2/2 + 4*n - 5. Let r be z(3). Determine o(r). 7 Let z(s) = s**2 - 3*s - 5. Suppose b + r + r - 37 = 0, 0 = 4*b - 4*r - 112. Let c = 37 - b. Determine z(c). 13 Suppose -2*j + 3*g = 3*j + 50, -g + 33 = -4*j. Let r(d) = -d**3 - 7*d**2 - d - 9. Give r(j). -2 Let f = 81 - 74. Let r(g) = g**2 + 11*g - 5. Let j(l) = l**2 + 10*l - 5. Let v = -2 - 4. Let q(z) = f*j(z) + v*r(z). Give q(-4). -5 Let s(g) = g**2 - 2*g + 2. Suppose 7*t - 8 = 5*t. Determine s(t). 10 Let u = -181 + 178. Let v(r) = -r. Let t(p) = -p - 1. Let y(s) = 4*t(s) - 3*v(s). Calculate y(u). -1 Suppose -3*h + l = -5*h - 3, 4*l = 3*h + 21. Let
{ "pile_set_name": "DM Mathematics" }
10))/((-6)/(-27)). 19 What is (-3)/(-2)*2/((-5)/(10/9))? -2/3 What is (24/5)/((-120)/(-5200)*-13)? -16 What is the value of (-32)/((-2688)/(-105)) - ((-35)/(-12))/(-5)? -2/3 -1035 - -1049 - (-209)/(-15) 1/15 What is the value of (3640/490)/(-13) - 104/14? -8 12 + (-20 - -2) + 14 8 Calculate 19/190 - 162/(-180). 1 ((-200)/(-500))/((-1)/(-15)*-4)*-22 33 What is 5*(-42)/(-175)*(-75)/10? -9 Evaluate (12 - (-13 + 31))*1. -6 Calculate (1*5 - 527298/102258) + 2/19. -2/39 21353/(-1467) - (-12)/(-27) -15 Evaluate 56/(-140) + (-1)/3*897/(-260). 3/4 Calculate 2/28 - (-7)/(-49)*(-2505)/30. 12 What is the value of ((-10)/(-3))/(2/21)*(-12252)/42882? -10 (((-1)/(-5))/(4/(-20)))/(-5) 1/5 What is 259/210*5*(-19 - -15 - -10)? 37 Evaluate -10*12/32*(-33 - -35). -15/2 Evaluate (-312)/40 + (-4)/20. -8 Evaluate (27/30)/((-28)/8)*(-145)/29. 9/7 Evaluate 54/(-45) - (-91)/(-260)*-92. 31 Calculate ((-64)/(-4704))/(1/7). 2/21 What is the value of 0 - 7 - (-174 + 171)? -4 What is (2/(-4))/((-957)/(-348)*(-2)/11)? 1 Calculate (-2112)/(-128) + 1/2. 17 Evaluate (-27)/(-675) + 1944/150. 13 Evaluate 175 - 178 - (-2)/(-10). -16/5 What is (-26)/5*(480/(-64))/(-3)? -13 What is -4*(-14)/(-8) - 7 - -2? -12 What is 558/(-42) - (-288)/1008? -13 What is the value of (6 + 27094/(-4495))/(4/10)? -2/29 -5*28/168*(-10)/(-15) -5/9 What is 407/77 - 3*(-5)/(-3)? 2/7 Calculate ((-48)/10)/((-204)/340) - -11. 19 What is the value of (6*26/130)/2? 3/5 What is (-4)/(20/(-35)*-63)? -1/9 (-7 - (505/(-325) - 5)) + 10/(-65) -3/5 What is the value of ((-22)/(-24) + (-21)/168*8)*2? -1/6 Calculate (-936)/(-702)*(-5)/4. -5/3 Calculate (81/(-18) - -2)*((-11)/5 + 2). 1/2 42/(-20)*6435/(-6006) 9/4 1 + (1*(1 - 0))/((-38)/(-190)) 6 Evaluate 8/30*(-1*(-143)/22 - 8). -2/5 What is 2 + 288/138 - 4/46? 4 Evaluate (6*(-21)/189)/((-3)/72). 16 Calculate 445/(-1246)*(-3 - (-796)/260). -2/91 (-60)/(-14)*1022/438 10 ((-45)/(-270) - 22/60)/((-4)/100) 5 What is the value of (-928)/(-870) - (-4 + 5) - 2/(-870)? 2/29 Calculate (-58 + 56)/(4/(-34) - (-243)/5967). 26 What is (-3 + 6)/((6/(-5))/((-264)/(-60)))? -11 8/(-120) + (-64)/120*-32 17 Calculate (-1)/(-5)*(-214 + 213)*-2. 2/5 What is 85/136*16/(-12)? -5/6 What is 2*((-114)/(-24) - 5)*-32? 16 ((-1794)/65)/(-23)*-5*6/(-27) 4/3 What is 1*(5 - (24/(-10))/((-100)/(-1125)))? 32 What is the value of (-884)/728*21/6? -17/4 What is (2/1)/(-4 - (-506)/121)? 11 (0 + -2)*15/(-18)*6 10 What is (1058/644 + (-8)/7)/((-12)/9)? -3/8 (-2)/14 - (-4424)/1960*4/(-4) -12/5 Calculate (-6*(-9 - (-127)/14))/((-6)/(-21)). -3/2 Evaluate -3*((-249)/42 - -6). -3/14 Calculate 16 - 2*-1 - (789 - 775). 4 What is the value of ((-1056)/792)/((-12)/(-297))? -33 Calculate (-5)/((-13 - -4) + (-38)/(-4)). -10 3/3 + 29/(-5) + 9/(-45) -5 What is (56/840)/(4/(-602)) + 10? -1/30 What is ((-15)/(-10))/(55/66*-3)? -3/5 What is the value of (-174)/(-45) + -4 - 1083/(-285)? 11/3 Calculate (15 - 6) + (-307 - 5)/8 - -7. -23 Calculate (3 - (9 - 9)) + 2 + (3 - -14). 22 Calculate (1 - (-10 - 1)) + 10/(-2). 7 Calculate 6/30*(-5 + 90/20). -1/10 Evaluate 18/15*70/966. 2/23 ((-2364)/(-10047))/(4/306) 18 What is (((-208)/192)/(-13))/((-3)/(-9))? 1/4 ((-41)/(-7175)*50)/(1 + 262/(-266)) 19 Evaluate (5/4)/((-19)/304). -20 Calculate (2/(-4))/(24/(-792 - -24)). 16 What is the value of 9/27*((-14)/(-35))/((-12)/240)? -8/3 What is the value of (77/(-22))/((-70)/200)? 10 What is the value of (60/(-180))/((-2)/(-42))? -7 Evaluate (4 + (-32)/6)*(-3)/2. 2 What is 8/(-22)*3465/70? -18 What is (-207)/(-138) + (486/(-28) - 5/35)? -16 Calculate 59*(-6)/(-405) - (-1488)/(-1860). 2/27 Evaluate ((-5)/(-100))/((-78)/(-936)). 3/5 What is the value of 3/(62/(3968/(-5280)))? -2/55 What is the value of 18/(-45)*-3*15/(-24)? -3/4 What is the value of 27 - 27/(-18)*-10? 12 What is (1*2/(-7))/(412/(-229999)*29)? 11/2 What is the value of (2/(-1) + 8)*(315/28)/(-45)? -3/2 What is (-28)/12*(-3 - -2)/7? 1/3 Evaluate -8 - (-3051)/(-621) - 4/46. -13 What is the value of (-69)/(373635/(-43206)) + 4*-2? -2/95 What is the value of (-1)/(-2) + (74 - 76)*5/4? -2 Calculate 8 + -7 + (6 - 21). -14 Calculate ((-168)/315)/((-16)/20) - 2/(-6). 1 What is ((-111)/(-74))/(15/100)? 10 What is the value of (96/(-6) + 0)*(2 + 6/(-4))? -8 (-450)/(-750)*(290/15)/(4/10) 29 What is 0 + 5 - 7 - (-91)/28*1? 5/4 Evaluate 459/(-72) - (-2 + (-3 - 1)). -3/8 Evaluate (-140)/770 - (-2)/((-924)/(-18)). -1/7 Evaluate 84/(-72)*(-24)/(-126). -2/9 What is the value of -35 + 58/((-2436)/(-1386))? -2 77/((-9702)/945)*(-10)/(-3) -25 (-3)/(-6)*810/324 5/4 What is the value of (10/56)/(985/1379)? 1/4 Calculate (8/14)/((-150)/(-1575)). 6 2 + (-16)/20 + 212/(-265) 2/5 (-6)/21*161/529 -2/23 (-14)/175 - ((-2136)/200 - -9) 8/5 Evaluate (4/14)/(3870/1505). 1/9 Calculate (-30)/(-6) - ((-18)/81 - (-875)/171). 2/19 What is (7/(-4))/(6/((-432)/6))? 21 What is the value of (25696/5256)/(2/(-9))? -22 Calculate (-17)/((-1105)/960) + 46 + -61. -3/13 What is the value of -45*(-11)/(-55) - (-21 + 2)? 10 What is 2826/(-258) + 11 + ((-22482)/(-387))/(-2)? -29 (-30)/36*((-80)/(-10) + -2) -5 (-2 - -2) + 12/8*-2 -3 What is the value of ((-3)/(-1) - 14/4) + 74/(-296)? -3/4 What is (2/(-3))/2*(-273)/238*-17? -13/2 Evaluate (-2478)/5310 - 2/(-5). -1/15 Calculate 45/6 + 957/(-174). 2 Calculate 20 - ((-8140)/(-9))/44. -5/9 Evaluate -8 - (51/34 + -41*(-8)/(-32)). 3/4 -8 + (-376)/(-48) + 1 5/6 What is the value of ((-1446)/(-1450) + -1)/((-47)/(-235))*5? -2/29 Calculate 14*((-82)/(-123) - (-4 - 124/(-24))). -7 What is the value of (-9)/(-8)*1472/(-276)? -6 What is (-112)/(-3 + -4) + -8 + 1? 9 Calculate 182 - 179 - 1/((-3)/(-7)). 2/3 Calculate (2 + (-117)/26)*2. -5 Evaluate ((-276)/120 + 2)/(620/125 + -5). 15/2 (5130/80)/19*(-80)/120 -9/4 Evaluate (-1064)/(-59 + 97)*(-4)/(-98). -8/7 What is the value of -3 + (5495/140 - 37)/(3/(-4))? -6 What is (5/(-6))/((-42)/(-504)) + (19 - 2)? 7 Calculate (-27)/2 + 12 + -9 - 854/(-122). -7/2 Calculate ((-2388)/2985)/((-8)/150). 15 What is 6 + ((-4)/10)/(22/341)? -1/5 (-7 + -3)/((-13)/(-13)) -10 Calculate -1 - (-43)/((-903)/(-693)). 32 Calculate (-6)/21 + (-693)/147. -5 Evaluate (-18)/(-27)*-3 - (-320)/168. -2/21 Calculate (-35)/(-675)*-15*24/(-14). 4/3 What is the value of (1/(-7))/(535/(-71155))? 19 Evaluate 8/(-336)*123 - 2/((-2)/3). 1/14 What is the value of (6/16)/1 - ((-41496)/192)/(-19)? -11 What is (-2 + -8)/(-60)*(-5 - -3)? -1/3 What is the value of 9/(-2)*(73 - (-4172)/(-56))? 27/4 What is -5 - (228/(-45) + (-22)/(-33))? -3/5 Evaluate 5850/10920*4/5. 3/7 Calculate (-2)/((-38)/(-78) - (-3 - 30/(-9))). -13 6/(-16) - ((-2877)/168 + 19) -9/4 Evaluate (-105)/(-936) - 28/(-3822)*-21. -1/24 Evaluate 4/12*72*(-10)/(-40). 6 What is the value of (-400)/525*(-18)/(-12)? -8/7 (1592/(-180) + 9)/((-147)/(-126)) 2/15 3/(14 + 2380/(-168)) -18 Calculate 17 - 0 - (-6384)/(-378). 1/9 What is (139 + -137)*3/(-1)? -6 Evaluate -11 + 9/(-12) + -5 + 14. -11/4 Calculate 297/(-396)*(5 + 15). -15 What is 2 + (-9)/(-9) - (-6 + 27 - 4)? -14 Calculate (9/(-10))/((-188)/(-376)). -9/5 What is ((-180)/720)/((-10)/8)? 1/5 What is the value of (-42)/15*460/(-322)? 4 What is ((-74)/4 + -1)*(4 + 306/(-68))? 39/4 What is the value of 2/(-3)*(3550/150 + -22)? -10/9 What is (-725)/10*(-1)/(-40)*-16? 29 What is the value of -9 + (-6)/(-198)*-6 + (-70)/(-22)? -6 Evaluate (14/56)/(4/(-448)*4). -7 What is the value of 1225/(-75) - 26/39? -17 What is ((-598)/138 - -4*1)*45? -15 What is the value of (224/176)/(16/88)*(-4)/854? -2/61 What is the value of (-15)/((-1870)/561*(-6)/20)? -15 What is the value of ((-6)/15)/((-9040)/(-500) - (0 + 18))? -5 1952/4880 + ((-3)/(-4))/(5/(-16)) -2 Calculate 693/18*(-6)/(-21). 11 What is 8 + 20/2*1*(-18)/21? -4/7 Evaluate ((-6)/18)/(128/2304). -6 What is the value of (-430)/(-4343)*(-19)/(-95)? 2/101 Evaluate (-12)/16*(-116)/(-174). -1/2 What is -3 + -6 + 3 + 112/18? 2/9 (73 - -2)*579/(-1737) -25 Evaluate ((-33)/(-18) - 2)/(-24 - 7931/(-330)). -5 -2 + ((-30744)/(-12672) - (-1)/(-16)) 4/11 What is the value of 6*335/420 - (-175)/(-70)? 16/7 What is the value of (-12)/10*272/2448? -2/15 What is the value of 3*(-12)/(-54) + 6/(-27)? 4/9 What is the value of (-1784)/1338*(-150)/(-8)? -25 Calculate (-21)/3 - 69/(-115) - 18/(-3). -2/5 (-5)/1 + -5 - (62 - 104) 32 What is the value of (-
{ "pile_set_name": "DM Mathematics" }
3 - 2698. Give l(p(n)). 48*n**2 + 42 Let v(l) = -54*l**2 + 21*l. Let k(h) = 11420*h**2. Calculate v(k(b)). -7042485600*b**4 + 239820*b**2 Let g(u) = -395332034*u**2. Let j(x) = x. Calculate g(j(w)). -395332034*w**2 Suppose -4*t + 39 = 5*x + 2, -3*t + x = -4. Let c(f) = -t*f + 2*f + 4*f. Let i(d) be the third derivative of 5*d**4/24 + 1720*d**2. Calculate i(c(q)). 15*q Let n(m) = -m**3 + 34*m**2 - 191*m + 56. Let u be n(27). Let a(s) be the first derivative of 0*s + 0*s**u + 7/3*s**3 - 9. Let g(v) = 3*v**2. Calculate a(g(b)). 63*b**4 Let h(k) = -k - 12. Let d(n) be the third derivative of -n**7/2520 + 77*n**4/24 + 2*n**2 + 49*n. Let o(c) be the second derivative of d(c). Determine o(h(w)). -w**2 - 24*w - 144 Let f(m) = -689*m. Let h(o) = 54*o - 2*o**2 + 54*o - 159*o + 51*o. Give f(h(p)). 1378*p**2 Let b(q) = -2*q. Let a be 12/(-4)*1 + 156. Let z(u) = -2 + a*u + 13*u + 2. Determine z(b(d)). -332*d Let t(w) be the third derivative of 389*w**4/24 + 1381*w**2. Let v(f) = -4*f**2. What is v(t(g))? -605284*g**2 Suppose 3*a - a = 4*a. Suppose a = -4*c + 41 - 9. Let i(u) = -4 + 13*u + c - 4. Let v(z) = -z. Determine i(v(x)). -13*x Suppose -q + 11 = -30. Let i(n) = -86035 + 86035 + q*n. Let g(h) = h**2. Calculate g(i(y)). 1681*y**2 Let m(y) = -6*y**2. Suppose 270*b - 350*b = 0. Let n(d) be the third derivative of b - 16*d**2 + 0*d**3 - 1/12*d**4 + 0*d. Determine n(m(z)). 12*z**2 Suppose 2*z = -3*z + 130. Let y(p) = -z + p**2 + 26. Let k(l) = l - 7. Let m(h) = 57*h**2 - 19*h + 133. Let s(i) = 19*k(i) + m(i). Give s(y(r)). 57*r**4 Let w(y) = -17*y**2. Let s(p) = 5*p**2 + 65670*p. Give s(w(a)). 1445*a**4 - 1116390*a**2 Let t(q) be the third derivative of -25*q**4/24 - 1175*q**2. Let x(w) = -2*w**2 + 10. What is x(t(k))? -1250*k**2 + 10 Let g(l) = -l**2 - 10. Let n(c) be the second derivative of 2*c**3/3 + 642*c. Calculate g(n(u)). -16*u**2 - 10 Let r(k) = -3640213*k**2. Let o(t) = 36*t. Determine r(o(i)). -4717716048*i**2 Let f(a) = -43*a. Let v(r) = 25*r - 9799. Determine v(f(n)). -1075*n - 9799 Suppose -420 = -3*p + 285. Let u(i) = -118 + p + i - 117. Let o(l) = 2. Let c(j) = -j + 11. Let s(h) = -2*c(h) + 11*o(h). Determine u(s(v)). 2*v Let m(t) = -26494*t + 1. Let b(y) = 4*y**2 - 2*y. Calculate b(m(u)). 2807728144*u**2 - 158964*u + 2 Let l(b) = 93*b + 113. Let w be l(9). Let f(r) = -963*r**2 - r + r + w*r**2. Let c(i) = 7*i. Determine f(c(t)). -637*t**2 Let j(h) = -18*h + 1. Let r = -274 + 420. Let p(x) = -144*x**2 - 2 + r*x**2 + 2. Give p(j(u)). 648*u**2 - 72*u + 2 Let j(c) = -3*c - 56329. Let h(x) = 11*x**2. What is j(h(d))? -33*d**2 - 56329 Let r(q) be the second derivative of q**3/6 - 774*q. Let u(j) = -244*j. Calculate r(u(t)). -244*t Let o(g) = -6*g**2 + 16*g - 16. Let v(b) = -2*b**2 + 5*b - 5. Let y(q) = -5*o(q) + 16*v(q). Let w(x) = 5441*x + 5447*x - 10894*x - 2. Calculate w(y(h)). 12*h**2 - 2 Let t(a) = a**2 + 0*a**2 + 0*a**2. Let y(c) = -10*c + 3. Let h(s) = -48*s + 11 + 9 - 6. Let j(i) = 3*h(i) - 14*y(i). What is j(t(z))? -4*z**2 Let j(n) = 2*n - 21. Let w(y) = -11*y. Let l(d) = -69*d + 4. Let k(c) = 205*c - 11. Let u(m) = 4*k(m) + 11*l(m). Let x(b) = 2*u(b) + 11*w(b). Give j(x(q)). 2*q - 21 Let w(x) = -4*x**2. Let b(t) = 4395*t**2 - 2655*t**2 - 1200*t**2 - 3653*t**2. What is w(b(g))? -38763076*g**4 Let p(j) = 3051*j - 1519*j - j**2 - 1532*j - j**2. Let f(y) = 24*y - 10. Determine p(f(r)). -1152*r**2 + 960*r - 200 Let d(i) = -2*i. Let k(n) = -18*n - 17. Suppose -170 = -16*z + 26*z. Let p(r) = -6*r - 6. Let a(x) = z*p(x) + 6*k(x). Determine d(a(l)). 12*l Let w(x) = -14*x**2 + 30. Let q(z) = 57*z. Let y(c) = 11*c. Let p(a) = q(a) - 5*y(a). Determine p(w(s)). -28*s**2 + 60 Let n(k) = -643*k - 635*k - 639*k + 1915*k. Let a(g) = -210*g**2. Determine a(n(p)). -840*p**2 Let w(i) = 3*i. Let q(p) = 46*p. Let z(a) = -2806*a - 207. Let g(o) = -54*o - 4. Let u(x) = -207*g(x) + 4*z(x). Let y(s) = -4*q(s) - 5*u(s). What is y(w(d))? 138*d Let k(p) = 3*p. Let z(r) = 75*r**2 + 19. Let w(s) = -14*s**2 - 4. Suppose -7*u + 337 = 351. Let n(t) = u*z(t) - 11*w(t). Calculate n(k(x)). 36*x**2 + 6 Let x(y) = -9289*y. Let k(q) = q**2 - 18*q - 4. Let t(u) = -4*u**2 + 81*u + 18. Let z(v) = -9*k(v) - 2*t(v). What is x(z(s))? 9289*s**2 Let a(q) = -4*q + 68*q - 68*q + 14. Let s(z) = -2*z**2. Give a(s(w)). 8*w**2 + 14 Let o(x) = x**2 + 19*x - 368. Let a(q) = -2*q**2. Calculate o(a(n)). 4*n**4 - 38*n**2 - 368 Let a(g) = -1 + 5*g**2 + 1 - 6*g**2 - g. Let d(l) = -81*l**2 + 231*l + 132. Let u(t) = -5*t**2 + 14*t + 8. Let o(x) = 2*d(x) - 33*u(x). Determine a(o(i)). -9*i**4 - 3*i**2 Let r(q) be the third derivative of -q**4/24 + 2*q**2 + 2*q + 123. Let k(u) be the first derivative of -14*u**3/3 + 3*u + 2. Give r(k(s)). 14*s**2 - 3 Let t(x) be the second derivative of 5*x**3/6 + 491*x + 1. Let y(d) = -2810*d. Calculate y(t(k)). -14050*k Let b(g) = 2*g - 1195. Let c(r) = -r + 552. Let v(f) = 4*b(f) + 10*c(f). Let y(d) = 3*d. Determine y(v(j)). -6*j + 2220 Let b(i) = i - 50046. Let f(g) = 2*g**2 - 172. What is f(b(h))? 2*h**2 - 200184*h + 5009204060 Let x(k) = -162*k**2. Let j(l) = 14*l**2 + 6*l - 9. Let v(t) = -7*t**2 - 4*t + 6. Let d(o) = -2*j(o) - 3*v(o). Give d(x(m)). -183708*m**4 Let i(o) = -28*o - 2. Let g(k) be the first derivative of -19*k**3/3 + 6*k - 171. Let w(b) = 41*b**2 - 13. Let f(n) = 13*g(n) + 6*w(n). Calculate f(i(z)). -784*z**2 - 112*z - 4 Let h(i) = -207*i**2. Let x(p) = 17*p - 24. Let b(n) = -2360*n + 3304. Let l(d) = -3*b(d) - 413*x(d). Determine l(h(w)). -12213*w**2 Let k(y) = -175*y. Let p(b) = -136*b**2 + 206*b. Give p(k(n)). -4165000*n**2 - 36050*n Let j(a) = 0*a + 0*a - 2*a. Let x(l) = 11*l**2 + 4. Let o(c) = -75*c**2 + 15*c - 28. Let h(d) = -o(d) - 7*x(d). Give j(h(t)). 4*t**2 + 30*t Let p(d) = -13*d + 5. Let y = 7586 - -4119. Let w(q) = -q**2 - y*q + 11705*q. What is p(w(c))? 13*c**2 + 5 Let o(y) = y + 36. Let p(q) = 0*q - 29*q + 11*q + 0*q. What is o(p(g))? -18*g + 36 Let j(z) = -1606726*z + 12478. Let k(c) = -1545*c + 12. Let l(d) = 6*j(d) - 6239*k(d). Let q(h) = 3*h. Calculate l(q(r)). -3303*r Let t(z) = 29*z**2 + 118*z + 393. Let h(n) = 13*n**2. Give t(h(y)). 4901*y**4 + 1534*y**2 + 393 Let x(s) be the third derivative of -23*s**5/60 + 26*s**3/3 + s**2 + 289*s. Let y(j) = 2*j**2. What is y(x(g))? 1058*g**4 - 4784*g**2 + 5408 Let t(z) be the first derivative of 4*z**2 + 5*z + 29. Let y(i) = 6*i + 4. Let j(r) = 4*t(r) - 5*y(r). Let s(o) = -5*o**2. Determine s(j(u)). -20*u**2 Let t(m) = 3*m - 6. Let k(y) be the third derivative of y**5/30 - 2*y**2 + 34*y. Let r(n) = -6*n**2. Let i(l) = -2*k(l) - r(l). Determine t(i(b)). 6*b**2 - 6 Let m(p) = -33*p**2 + 20*p + 76. Let t(j) = -59*j**2 + 38*j + 151. Let q(d) = 9*m(d) - 5*t(d). Let u(f) = 2*f**2. Give q(u(h)). -8*h**4 - 20*h**2 - 71 Let w(o) = 5*o**2 - o. Let s be ((-84)/(-20) + -2)/((-1)/(-5)). Suppose -s*d + 0 + 11 = 0. Let t(u) = 1 - d + 559*u - 557*u. Calculate t(w(r)). 10*r**2 - 2*r Let a(l) = -80*l - 5285*l**2 - 85*l + 165*l. Let z(o) = 2*o. Give a(z(i)). -21140*i**2 Suppose 3*v + c - 231 = 1, 0 = 4*v + 2*c - 308. Let q(l) = l + v - 78. Let m(s) = 10*s + 4. Let d(z) = -10*z - 5. Let r(n) = 4*d(n) + 5*m(n). Calculate q(r(g)). 10*g Let c(t) = 19*t**2 + t. Let o(y) = -14*y**2 - 24*y. Let l be ((-56)/84)/(2/3). Let m(v) = -v**2 - 2*v. Let r(f) = l*o(f) + 12*m(f). What is r(c(j))? 722*j**4 + 76*j**3 + 2*j**2 Let j(p) = -4*p**2. Suppose -2*r + 18 = 12. Let w = r - 1. Let m(l) = 59*l - 59*l + 5*l**w. Calculate m(j(s)). 80*s**4 Let s(a) be the third derivative of 29*a**4/24 - a**2. Let y(w) be the third derivative of w**5/30 - 1702*w**2 - 4*w. Give s(y(j)). 58*j**2 Let z(c) = 367*c**2. Let o(i) be the first derivative of i**3 + 339. Calculate z(o(u)). 3303*u**4 Let y(g) = 2*g**2. Let f(x) = 28*x**2 - 10*x - 13. Let l(v) = -v**2 - 8*v**2 - 5*v - 3 - 3 + 23*v**2. Let k(w) = -6*f(w) + 13*l(w). Determine k(y(h)). 56*h**4 - 10*h**2 Let t(q) = 5*q**2 - 2*q**2 - q**2. Let a(y) = 16*y. Let m(g) = 34*g. Suppose 3*b + 54 = 5*k, 2*k + 5*b - 3 = -0. Let j(n) = k*a(n) - 4*m(n). Give t(j(c)). 128*c**2 Let x(y) = 3 - 2 - 2. Let g(r) = 4*r + 3. Let j(o) = g(o) + 3*x(o). Let b(i) be the second derivative of i**3/3 + 3*i - 3190. Calculate j(b(q)). 8*q Let y(j) = 3*j. Suppose 0 = -42*h + 43*h - 6893. Let c(k) = 6893*k - h*
{ "pile_set_name": "DM Mathematics" }
1.33 + m. What is u rounded to one dp? -0.7 Let j = -213.55657 + 268.55657465. Let g = -55 + j. Round g to 7 dps. 0.0000047 Let r = 4170.49 + -4368. What is r rounded to the nearest ten? -200 Let x = 0.3352 - 151.1602. Let t = -0.175 + x. Let r = t - -151.000000252. What is r rounded to seven dps? 0.0000003 Let w = -3.562 + 16.572. Round w to the nearest integer. 13 Let t = -36314499 + 36311776.96226. Let v = -2722 - t. What is v rounded to three decimal places? 0.038 Let h(k) = k + 455*k**2 - 2*k + 0*k + 6 - 1505*k**2. Let n be h(6). What is n rounded to the nearest one thousand? -38000 Let t = -3372.993536 + 3373. Round t to 4 dps. 0.0065 Let d = 5769.0006821 + -5769. Round d to five decimal places. 0.00068 Let r(p) = 56*p**3 + 11*p**2 - 36*p - 38. Let s be r(7). Round s to the nearest one thousand. 19000 Let h = 2652465 + 8700538. Suppose 12*f - h = -925003. What is f rounded to the nearest 100000? 900000 Let k = 378530621195785.00000072 - 378530634130362. Let t = -12934590 - k. Let u = -13 - t. What is u rounded to 7 decimal places? 0.0000007 Let c = -5484 + 5484.000000164. What is c rounded to 6 decimal places? 0 Let x = -3963 + 2600. Let w = x + 1288.3. What is w rounded to the nearest ten? -70 Let s = -39301581 + 55787581. What is s rounded to the nearest 100000? 16500000 Let a = -54.2 - -47. Let n = a - -7.200000112. What is n rounded to 7 decimal places? 0.0000001 Let h = -1.7477947 - 18062.0502053. Let t = -18209.80074 - h. Let j = 146 + t. Round j to four decimal places. -0.0027 Let q = -511.64 - -488. Let t = q + 30.1. Round t to 1 dp. 6.5 Suppose -2*n = -6*n - 144. Let t = n - -75. Suppose 0 = -s - r - 27 - t, 3*s - r + 214 = 0. What is s rounded to the nearest ten? -70 Let v = 21 - -1. Let p = v - -174. Let r = p - 716. Round r to the nearest one hundred. -500 Suppose -76*k - 469799991 = 3*q - 79*k, 9 = -3*k. Round q to the nearest 1000000. -157000000 Let o = 469 + -328. Let p = -140.9999928 + o. Round p to 5 dps. 0.00001 Let c = 15.58 + -19. Let s = -3.41744 - c. What is s rounded to three dps? 0.003 Let y = 7705.927349 + -7706. What is y rounded to 2 decimal places? -0.07 Let g(b) = 3147806*b - 12. Let u be g(4). Let f be 6291215/(-1) + (5 - 2). Let y = f + u. What is y rounded to the nearest one million? 6000000 Let v = 3033.0000004341 - 3033. Round v to seven dps. 0.0000004 Let z = -36.9 - -2.9. Let n = z + 53. Let j = n + -18.67. Round j to one dp. 0.3 Let p = -1970.3039 - -1809.3. Let d = 161 + p. Round d to two dps. 0 Suppose k + 16 = -3*o - 2*o, -k = 3*o + 8. Let h(t) = -373*t**2 - 7*t - 4. Let j be h(k). Let s be (j/(-18))/((-1)/234). Round s to the nearest ten thousand. -80000 Let l = 6648.224 + -6623. Let t = -25 + l. What is t rounded to 1 dp? 0.2 Let q = 27 - 98. Let v = -395139.0038 - -395210. Let z = q + v. What is z rounded to 3 decimal places? -0.004 Let r = 11462.834 - 11463. Round r to 1 decimal place. -0.2 Let f = -126.2 + 153. Let p = f + -63.7. Round p to the nearest integer. -37 Let u = 902.79653 - 902.7. What is u rounded to 3 decimal places? 0.097 Let k = -54418 - -19628. What is k rounded to the nearest ten thousand? -30000 Let h = -74685 + 74685.00000235415. Round h to seven decimal places. 0.0000024 Let m = 35.0689 + -33.168. Round m to 2 decimal places. 1.9 Let t(j) = -43750*j**3 - j**2 - 5*j - 4. Suppose -5*l = 7*l + 48. Let r be t(l). Round r to the nearest 1000000. 3000000 Let j = 633.8791 - -0.1209. Let w = j - 634.0003135. What is w rounded to 5 decimal places? -0.00031 Let x = -673.2969 + -0.2031. Let i = x + 743.372. Let k = i - 70. Round k to 2 dps. -0.13 Let p(v) = 9*v - 205. Let x be p(23). Suppose 4*s - 4*k + 9*k - 10917 = 0, -x*s = -4*k - 5478. Round s to the nearest 100. 2700 Let y(n) = 255094*n - 22. Let b be y(19). Let w = -69128065 + b. Let j = -15881301 - w. What is j rounded to the nearest 1000000? 48000000 Let x = 2707737 + -2708091.998716. Let c = x - -355. What is c rounded to 4 decimal places? 0.0013 Let u be (2 + 0 - 1)*-695. Let i = u + 1117. Let q = i + -203. What is q rounded to the nearest 100? 200 Let v = -5615843 - -5615763.00173. Let b = v - -80. Round b to 4 decimal places. 0.0017 Let f = -822 - -560. Let s = -93646826 - -93646563.999268. Let y = f - s. What is y rounded to four dps? 0.0007 Suppose 0 = 2*n - 4, 14*d - 13*d + 4*n - 8 = 0. Suppose d = -i - i - 300000. What is i rounded to the nearest one million? 0 Let h(s) = -1088*s - 32. Suppose 0 = i - 4*o + 14, -42 = 3*i + o - 5*o. Let a be h(i). What is a rounded to the nearest ten thousand? 20000 Let g = 7140.6126 - 7150.08443076. Let w = g - -193.47186156. Let d = w + -184. Round d to 6 dps. 0.000031 Let w = -114672343 - -114737630.537. Let o = w + -65669.3. Let h = o - -382. Round h to two decimal places. 0.24 Let d = -2439.229543 - 0.150457. Let w = d - -2413. Let c = w + 24.4. What is c rounded to one dp? -2 Let s = 317667005.6999834 + -317667032. Let o = s - -26.3. What is o rounded to 5 decimal places? -0.00002 Let u = 8107.048 + -8088.848062. Let j = 18.2 - u. Round j to four dps. 0.0001 Suppose 0*k + 3 = k. Suppose -u + k*s = 2, 4 = -2*u - 0*s - 4*s. Let j be 9/(-6) - u/4. What is j rounded to the nearest ten? 0 Let f = -700 - -700.00001234. Round f to five dps. 0.00001 Suppose -40 = -5*o + 4*j, 3*o - 21 = 5*j + 16. Suppose -5*b + 391995 = o*a, -4*a + 3*b = -8*a + 391997. What is a rounded to the nearest one hundred thousand? 100000 Let p = 4862.582204 - 4864.79. Let t = p + 1.99417. Let i = 0.214 + t. What is i rounded to five dps? 0.00037 Let y = 91646.79644 + -104372.049. Let b = y + 12572.2525438. Let l = -153 - b. Round l to five decimal places. 0.00002 Let u = 68.49 + -70.5783. Round u to 2 decimal places. -2.09 Let q = 307605.31 - 309551. Let g = q + 1931. Let a = g - 0.11. What is a rounded to zero decimal places? -15 Let g = -58.74 - 0.26. Let j = g + 59.00089. Round j to 4 dps. 0.0009 Let o be -20340 - (93/(-9) - (-40)/30). Round o to the nearest 1000. -20000 Let j = 50504 - 50249.366. Let g = j - 255. Round g to 1 dp. -0.4 Let s = 177.1 - 177.10005499. Round s to 5 decimal places. -0.00005 Let x = 6525 - 4181. Let s = -2367.14 + x. Round s to the nearest 10. -20 Let x = 22236047 - 2663047. What is x rounded to the nearest 100000? 19600000 Suppose 18*v = 21*v + 4*j + 1668523, 0 = 3*v - 4*j + 1668491. Let d = v + -18831. What is d rounded to the nearest one hundred thousand? -600000 Let b(d) = -d**3 + 13*d**2 - d - 27. Let x be -2 + 908/60 - 2/15. Let y be b(x). Let w be y/(-60) + 34200014/6 - 3. Round w to the nearest one million. 6000000 Suppose 14*g - 10*g - 3099104 = 0. Let c = g + 109224. What is c rounded to the nearest one hundred thousand? 900000 Let n = -2876.9989509 + 2877. What is n rounded to four decimal places? 0.001 Let t = 2921 - 674. Let p = 2247.6444 - t. What is p rounded to 1 dp? 0.6 Let d = 0.02467 - 0.03817. What is d rounded to two dps? -0.01 Let l = -13.176 - -13.164358. Round l to 4 decimal places. -0.0116 Suppose 195 + 273 = -4*i. Let w = i + 97. Let b be ((-315)/w)/(6/32). What is b rounded to the nearest 10? 80 Let s = -0.231 + -187.769. Let w = -124 - s. Let t = -51.4 + w. Round t to the nearest integer. 13 Let l = -11.6497 + 0.1597. Let c = 38.78 + l. Round c to the nearest integer. 27 Let c = 2136651 - 2136654.7200325. Let z = c + 3.72. Round z to 6 decimal places. -0.000033 Suppose 32870 = 4*a + a. Let i be -5 + -2 + 5/((-30)/(-441486)). Let u = a - i. What is u rounded to the nearest ten thousand? -70000 Let h = -61 + 61.375. Let t = -0.3749701 + h. What is t rounded to six dps? 0.00003 Let t = 91.3 - 83.2105. Round t to zero decimal places. 8 Let h = 94085345.24999996 + -94085341. Let f = -4.25 + h. Round f to 6 dps. 0 Let n = 3471.2735 + -1706.518. Let s = -1808.75 + n. Let x = 44 + s. Round x to 3 decimal places. 0.006 Let j = -81.2 + 104. Let z = 55 - j. What is z rounded to the nearest 10? 30 Suppose -2*s = -3*d + 3*s + 27214, 0 = d - 2*s - 9070. Suppose -3 = 9*f - 8*f, -5*f + d = 3*i. Round i to the nearest one hundred. 3000 Let k = -893.0819321 + 1001.981861. Let o = 108.9 - k. What is o rounded to 6 decimal places? 0.000071 Let r = -47.33416 - -67.334. Let h = 163 - 183. Let o = h + r. Round o to 5 decimal places. -0.00016 Let m = 10040.0000064015 + -1004
{ "pile_set_name": "DM Mathematics" }
0 in descending order. 0, -2, -5/2, -11/3, -19 Put 3, -2, 24, 4, -1 in descending order. 24, 4, 3, -1, -2 Put -1, 3, -3, -71, 6 in decreasing order. 6, 3, -1, -3, -71 Sort -92/5, -0.1, -1/9 in descending order. -0.1, -1/9, -92/5 Sort -1, -44, 3/5, 0.4 in decreasing order. 3/5, 0.4, -1, -44 Put -3, -1, 4, 123 in ascending order. -3, -1, 4, 123 Sort 5, 80, 0, -5, 2 in increasing order. -5, 0, 2, 5, 80 Sort 174, 1, -4, -2. -4, -2, 1, 174 Sort 3, 2/3, 2. 2/3, 2, 3 Put -0.975, 0.4, -0.2 in descending order. 0.4, -0.2, -0.975 Put -3, 1, 9, 4, -14 in ascending order. -14, -3, 1, 4, 9 Sort 0.6, -9, -3. -9, -3, 0.6 Put -2/15, -5, 4, -0.65, -1/5 in decreasing order. 4, -2/15, -1/5, -0.65, -5 Sort -38, -34, 4 in ascending order. -38, -34, 4 Put 2, -1, 165 in descending order. 165, 2, -1 Sort -0.2, 0, -2/125, 2/7, 1/3 in decreasing order. 1/3, 2/7, 0, -2/125, -0.2 Sort 16, 1, -2, -3 in decreasing order. 16, 1, -2, -3 Put -5, 4, 14, 38.5 in descending order. 38.5, 14, 4, -5 Sort 0.04, 2/21, -4, -3 in ascending order. -4, -3, 0.04, 2/21 Sort 3, 5/2, 1.2, -18 in descending order. 3, 5/2, 1.2, -18 Sort 1/42, 2/9, 13 in decreasing order. 13, 2/9, 1/42 Sort -11, 0, 1, 8 in descending order. 8, 1, 0, -11 Put 2/3, 0.3, -4/3, -2/1261 in increasing order. -4/3, -2/1261, 0.3, 2/3 Sort 0.3, -4, 3, -2/9, -0.4 in ascending order. -4, -0.4, -2/9, 0.3, 3 Sort -0.2, 0, 5, 1 in decreasing order. 5, 1, 0, -0.2 Sort 2/37, 2/7, -0.5 in ascending order. -0.5, 2/37, 2/7 Put -25/9, 2.4, 5 in descending order. 5, 2.4, -25/9 Sort 5, 1, -8, -15 in decreasing order. 5, 1, -8, -15 Put 0.3, -0.3, -2/19, -1, 4/7 in increasing order. -1, -0.3, -2/19, 0.3, 4/7 Sort -4/7, 103, 2/3, -0.2 in increasing order. -4/7, -0.2, 2/3, 103 Sort -3, 3598, 4, 3 in decreasing order. 3598, 4, 3, -3 Put -1/2, 0.3, 2.4, 4 in ascending order. -1/2, 0.3, 2.4, 4 Put -3, 0.3, -2/9, -0.06, 2 in decreasing order. 2, 0.3, -0.06, -2/9, -3 Sort 2, -2, -19, 52, 4. -19, -2, 2, 4, 52 Sort 1, 127, -2/21 in ascending order. -2/21, 1, 127 Sort -2, 8, 12, 1. -2, 1, 8, 12 Put 2, -0.5, 0 in descending order. 2, 0, -0.5 Sort 3, 10.5, 5 in decreasing order. 10.5, 5, 3 Sort 2, 2/3, -0.2, 0.3, 5/4. -0.2, 0.3, 2/3, 5/4, 2 Sort 2/5, 9, 2/3, 0 in increasing order. 0, 2/5, 2/3, 9 Sort -2, -1, 23 in descending order. 23, -1, -2 Put 4, -3, 65 in increasing order. -3, 4, 65 Put 0, -0.2, -0.136 in descending order. 0, -0.136, -0.2 Sort -4, 3, -3, -6, 5 in decreasing order. 5, 3, -3, -4, -6 Sort 5, 4, -8, 0 in ascending order. -8, 0, 4, 5 Put 14, -2/3, -2/11, 2/9 in decreasing order. 14, 2/9, -2/11, -2/3 Put 1/7, -1, 5, 4 in decreasing order. 5, 4, 1/7, -1 Put -11, -3, -34 in increasing order. -34, -11, -3 Sort 17, -3, -19 in decreasing order. 17, -3, -19 Put -18, -2, 11 in decreasing order. 11, -2, -18 Put 4, -0.4, 9.1 in ascending order. -0.4, 4, 9.1 Put -1, 23, -3, 6 in ascending order. -3, -1, 6, 23 Sort 3/5, 45, -0.05, 0.2, 1 in descending order. 45, 1, 3/5, 0.2, -0.05 Sort 2/11, -1.1, -3/4 in decreasing order. 2/11, -3/4, -1.1 Sort 1/2, 3, 5, -5. -5, 1/2, 3, 5 Sort 2/3, -3/8, -3/7, -2, -3 in increasing order. -3, -2, -3/7, -3/8, 2/3 Sort 1, 3, 23, -4 in decreasing order. 23, 3, 1, -4 Sort -4, -4.1, 4. -4.1, -4, 4 Sort -0.5, -0.01, 5, -15 in ascending order. -15, -0.5, -0.01, 5 Sort -0.03, -0.7, 5, -0.5, -9. -9, -0.7, -0.5, -0.03, 5 Sort -250, -2, 3, 2, -3 in decreasing order. 3, 2, -2, -3, -250 Sort 0.05, 2/9, 0.2, -5. -5, 0.05, 0.2, 2/9 Sort -655, 2, -2/9, -2 in descending order. 2, -2/9, -2, -655 Sort -2, 196, -1, -4 in ascending order. -4, -2, -1, 196 Sort -5, -2, 0, -6 in descending order. 0, -2, -5, -6 Put 8, -70, 2, -5, 0 in ascending order. -70, -5, 0, 2, 8 Sort -4, -1/11, -9, -0.5 in increasing order. -9, -4, -0.5, -1/11 Put 4, -19, 3, 1 in descending order. 4, 3, 1, -19 Put -1/24, -5, 3, -348 in descending order. 3, -1/24, -5, -348 Put -3, -19, 12 in decreasing order. 12, -3, -19 Sort 1, -4, -1, -11. -11, -4, -1, 1 Put -4, 0.0659, 5, 0.3 in decreasing order. 5, 0.3, 0.0659, -4 Sort -1/3, -0.09, -3, -3/4, -5. -5, -3, -3/4, -1/3, -0.09 Put 4, 5, -3, 26 in increasing order. -3, 4, 5, 26 Sort -419, 2, -3, 1, 5. -419, -3, 1, 2, 5 Sort -2/9, -0.11, 3, -0.1 in decreasing order. 3, -0.1, -0.11, -2/9 Sort -0.4, -60, -1, 0. -60, -1, -0.4, 0 Put -2, 58/7, -2/17, 3/5 in descending order. 58/7, 3/5, -2/17, -2 Sort 0, -0.1, -421, -4 in decreasing order. 0, -0.1, -4, -421 Sort 465, -1, 2. -1, 2, 465 Put -5, -2, 1, -4 in decreasing order. 1, -2, -4, -5 Sort 5, 1, 2.1, 2, 0.3. 0.3, 1, 2, 2.1, 5 Sort 13, -4, -3, -73 in decreasing order. 13, -3, -4, -73 Sort 9, -1, 2, -4 in descending order. 9, 2, -1, -4 Sort 39, 4, -14, -5 in decreasing order. 39, 4, -5, -14 Sort -3, -34, 11 in increasing order. -34, -3, 11 Sort 1/2, -0.4, 4/287. -0.4, 4/287, 1/2 Put -5, 4, -31 in descending order. 4, -5, -31 Sort 3, -7, 16 in descending order. 16, 3, -7 Put -2, 2, -14, 4 in descending order. 4, 2, -2, -14 Sort 7, 1/220, 3, -2 in ascending order. -2, 1/220, 3, 7 Sort 6, -511, -3, -4 in decreasing order. 6, -3, -4, -511 Sort 12, -1, -5 in decreasing order. 12, -1, -5 Sort 0, -1, 4/7, 24. -1, 0, 4/7, 24 Put 5, -5, 74 in descending order. 74, 5, -5 Sort -1, 7, -3, -85 in decreasing order. 7, -1, -3, -85 Put -3, -2, 0.5, 1/3, 0.6 in descending order. 0.6, 0.5, 1/3, -2, -3 Sort 0, -1, -13, 2. -13, -1, 0, 2 Sort 1, -3852, 2, -5 in ascending order. -3852, -5, 1, 2 Sort 5, -2, 2, 7 in descending order. 7, 5, 2, -2 Sort 1, -31, -3, 110 in decreasing order. 110, 1, -3, -31 Sort 2982, -3, 2 in descending order. 2982, 2, -3 Sort 0.1, 0, 2, -187 in descending order. 2, 0.1, 0, -187 Put -2, 1790, -1 in descending order. 1790, -1, -2 Sort 33, -2, 699 in decreasing order. 699, 33, -2 Put 94, 1, -0.2, -3 in descending order. 94, 1, -0.2, -3 Put 5, 0.3, -4.3, 1/6 in decreasing order. 5, 0.3, 1/6, -4.3 Sort -1, 5, -5, 20, -3 in decreasing order. 20, 5, -1, -3, -5 Put 5, -2, 15, 0, -21 in increasing order. -21, -2, 0, 5, 15 Put 0.5, 635, 1, 2/5 in decreasing order. 635, 1, 0.5, 2/5 Sort 22, 3, 1.9, -0.5, 1 in increasing order. -0.5, 1, 1.9, 3, 22 Put 5, 0, 0.101 in decreasing order. 5, 0.101, 0 Sort 3/8, -1.7, -1, 2, 3. -1.7, -1, 3/8, 2, 3 Put 1/2, 0.08, 5, -5 in ascending order. -5, 0.08, 1/2, 5 Put 35, -1, 2/3 in increasing order. -1, 2/3, 35 Sort -2/15, 3/5, 6/13, 5 in increasing order. -2/15, 6/13, 3/5, 5 Put 3/13, -0.3, -2, 0.2 in increasing order. -2, -0.3, 0.2, 3/13 Sort 1/5, -1/4, -2/15. -1/4, -2/15, 1/5 Put 0.4, 47, -15, 0.3 in decreasing order. 47, 0.4, 0.3, -15 Sort -11, 6, 4. -11, 4, 6 Put 5, -7, 3 in decreasing order. 5, 3, -7 Sort -7, 15, 0, -1, -2. -7, -2, -1, 0, 15 Put -5, -2, -1, 203 in descending order. 203, -1, -2, -5 Sort -2/7, 0.18, -5, -23 in increasing order. -23, -5, -2/7, 0.18 Sort -2, -0.1, -1/2, -10. -10, -2, -1/2, -0.1 Sort -2, -1/2, 21, -1/13 in descending order. 21, -1/13, -1/2, -2 Put -4, -10, 1, -124 in descending order. 1, -4, -10, -124 Sort 5, 419, -1. -1, 5, 419 Put 38, 3, -3 in decreasing order. 38, 3, -3 Put -3, -5, 13, 4, -407 in ascending order. -407, -5, -3, 4, 13 Sort 5, -1, 12, 3 in decreasing order. 12, 5, 3, -1 Sort 29, 0.25, 2 in descending order. 29, 2, 0.25 Put 0.2, 5, -3 in decreasing order. 5, 0.2, -3 Put -1, 7, 5, 2, -28 in ascending order. -28, -1, 2, 5, 7 Sort 6, -1/4, -0.4, 2/21. -0.4, -1/4, 2/21, 6 Put -3, 0.069, 59 in descending order. 59, 0.069, -3 Sort 1, 4, 3, -2, -574 in increasing order. -574, -2, 1, 3, 4 Put 5, -5, 61, 2, -1 in decreasing order. 61, 5, 2, -1, -5 Put 0, -1, 80 in decreasing order. 80, 0, -1 Put 0, -3, 3, 28, 1 in descending order. 28, 3, 1, 0, -3 Put 8/11, -3.3, -4 in descending order. 8/11, -3.3, -4 Sort 5, -2, 0, 2/15, -210 in descending order. 5, 2/15, 0, -2, -210 Sort -3, -0.4, 0.22, 4, -2/3. -3, -2/3, -0.4, 0.22, 4 Put -2, -4, 293, 2, 3/7 in descending order. 293, 2, 3/7, -2, -4 Put 9, -6, 4, 2 in descending order. 9, 4, 2, -6 Put -2, 4, 0, -8, -3 in increasing order. -8, -3, -2, 0, 4 Sort -8, 3, -25 in increasing order. -25, -8, 3 Sort 12, -3/5, 10 in decreasing order. 12, 10, -3/5 Put 4/9, 0.2, -62/3 in ascending order. -62/3, 0.2, 4/9 Sort 5, 2, -2, 6. -2, 2, 5, 6 Put 23, -1, -8 in decreasing order. 23, -1, -8 Put -5, -3, -7, -13 in decreasing order. -3, -5, -7, -13 Sort 0.2, -1, -2/3,
{ "pile_set_name": "DM Mathematics" }