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ppose 3*h + 2854 = u, y*h - 4*u + 1886 = -2*h. Does 17 divide (-8)/7 - -1 - h/7? True Let b be 16/10 + -1 - 12485/(-275). Is 13 a factor of (-13371)/(-21) - (3 - b/14)? True Let p(n) be the second derivative of n**4/12 - 17*n**3/6 + 27*n**2/2 - 10*n. Let j be p(12). Let l = 81 + j. Is l a multiple of 9? False Let b = 765 - 447. Suppose n + 2*k - 333 = 0, n - b = -6*k + 9*k. Is n a multiple of 15? False Is 121 a factor of (1 - -153)/14*(10 + 1)? True Let g(i) = -2444*i - 817. Does 11 divide g(-7)? True Let v = 76 + -67. Let r = v - -5. Suppose -4*n + 2*n + r = -5*j, -j = -3*n + 34. Is 6 a factor of n? True Let j(c) = 5*c**2 + 4*c + 3. Let m be j(-1). Suppose -3*q = 4*i - 148, 7*i + 127 = 2*q + m*i. Does 8 divide q? True Let b be 2/(-3) - 40/(-15). Is (-4324)/(-18) + b/(-9) a multiple of 31? False Let h(d) = 28*d**3 - d**2 - 2*d + 6. Let y be h(3). Let z = y - 459. Is z a multiple of 32? True Let y(m) = -m**3 + 10*m**2 + m - 35. Let s(j) = -2*j**3 + 11*j**2 - j - 35. Let p(k) = 2*s(k) - 3*y(k). Does 21 divide p(-7)? True Let d(w) = -33*w - 30*w + 20 + 47*w - w**3 + 21*w**2. Does 40 divide d(19)? False Let w = 104 - 109. Does 5 divide 112 - (w/15)/((-3)/(-9))? False Let h = -48 + 54. Suppose 17 = 3*f - h*l + 2*l, 3*f = 5*l + 13. Let z(j) = -j**3 + 11*j**2 + 8*j + 2. Is z(f) a multiple of 10? True Let y = -3491 + 8783. Does 108 divide y? True Let h(c) = -18*c**2 - 5*c + 30. Let s(x) = 6. Let g(y) = -h(y) + 6*s(y). Does 17 divide g(-2)? True Let w(v) = -17*v + 40 + 20 + 17 - 31. Let r = 27 + -33. Is 23 a factor of w(r)? False Let a = 42 + -25. Let f(l) = l**3 - 15*l**2 - 8*l - 24. Is f(a) a multiple of 45? False Let d = 31 + -21. Suppose 5*i - 65 = 5*x, -d = x - 3*x. Let s = i - -9. Does 9 divide s? True Suppose -63*u + 65*u + 362 = 0. Suppose 121*h - 276 = 127*h. Let j = h - u. Is j a multiple of 14? False Suppose 0 = 2*s, -5*s - 15 - 12 = -c. Suppose -c*l + 1365 = -2415. Is 10 a factor of l? True Is (-9 + 1 - 703/(-74))*16 a multiple of 5? False Let h = -200 - -194. Is 27 a factor of (18*h/(-16))/(7/28)? True Let b(w) = -20*w + 461. Let y be b(23). Let g(u) = 86*u**3 - 3*u**2 + 2 - 30*u**3 + u + 144*u**3. Is g(y) a multiple of 8? True Let p(y) = 484*y - 778. Is 14 a factor of p(22)? True Let u be (-24)/16 - 33/6. Let s = u + 5. Does 29 divide (11 + -3)*(-29)/s? True Let y = 2 - 13. Let r(d) = 4*d + 46. Let k be r(y). Is 6 a factor of (k/(-2)*57)/(-1)? False Let s = 366 + -217. Let b(k) = k**2 - k - 7. Let h be b(4). Suppose l = h*p + 76, p - 42 + s = 2*l. Is l a multiple of 13? False Suppose l - 17 = -2*f + 32, -4*l + 14 = f. Let s(t) = 10*t - 44. Does 8 divide s(f)? True Let n = -111 - 138. Let a = n - -843. Does 27 divide a? True Suppose -108*q + 14358870 = 237*q + 60*q. Does 29 divide q? False Suppose -2*m + 7*m = -4435. Let u = 1452 + m. Does 58 divide u? False Suppose -55*j = -56*j - 21. Let n(u) = u**2 - 5*u + 66. Is 68 a factor of n(j)? True Let f(b) be the third derivative of b**4/12 - 3*b**3/2 - 17*b**2. Let p be f(3). Let r = p - -21. Is 2 a factor of r? True Suppose 481 = -30*c + 4891. Let o be (-1 + -1)*-1*79. Suppose c = k - 3*y - 3, -k + o = y. Does 26 divide k? True Suppose 10*m = -402 + 52. Let f(a) = -3*a - 85. Is 4 a factor of f(m)? True Let h = 21174 - 285. Is h a multiple of 16? False Suppose -4*p = p - 4*v - 95, 5*v = 5*p - 100. Let t be (4 + p/5)*162/(-21). Let y = t + 138. Is 21 a factor of y? True Suppose 22*w - 2098 = -9424. Let j = w - -843. Is j a multiple of 10? True Suppose 8 = 2*s + 16. Is 32 + -1 + (1 - s) a multiple of 20? False Suppose h = -10*h + 575096 - 67017. Is 19 a factor of h? True Let l = -2397 - -2519. Is 35 a factor of l? False Let c = 41 - 49. Let n be 8/c - (-9 + (-1 - -3)). Suppose -3*t - a = -n*a - 321, 5*t - 535 = -a. Does 31 divide t? False Suppose -2*o - 5*b + 50 = 0, 0 = o - 3*b - 33 - 3. Is 13 a factor of (o/(-8))/(20/(-1040))? True Let j be (30/9)/((-10)/3345). Let s = 1583 + j. Suppose -2*q = -8*q + s. Is q a multiple of 13? True Let t(o) = -o. Let i(c) = c**2 + 10*c + 9. Let f(r) = -i(r) + 3*t(r). Let s be f(-12). Suppose 0 = -5*u - 0*z + s*z + 89, 4*z + 12 = 0. Does 14 divide u? False Suppose -4*x - 4*r + 163812 = 0, x + 5443 = 2*r + 46393. Is x a multiple of 14? False Suppose -4*q = -5*n + 5, 0*q - 2*q + 3*n = 3. Suppose 0 = -q*u - 4*u + 664. Is 4 a factor of u? False Suppose -3759200 = -352*m + 225*m. Does 25 divide m? True Let u = 215 + -222. Let g(v) = -v**3 + 7*v**2 + 9*v + 21. Is g(u) a multiple of 55? False Does 30 divide ((-54)/351 - 67/(-13))/((-1)/(-204))? True Let g(m) = 13532*m + 586. Is g(1) a multiple of 14? False Let a = 14 + -11. Suppose 0 = a*m + 2*m, -2*m = -3*t + 288. Suppose -4*p - 3*w + 7*w + t = 0, -136 = -5*p + w. Does 8 divide p? False Let b(z) = -z**3 + 14*z**2 + 16*z + 35. Let m(g) be the second derivative of g**3 + 9*g**2/2 - 31*g. Let h be m(1). Does 32 divide b(h)? False Suppose 3*m + 1 = 5*y, 3*m - 6*m + 19 = 5*y. Suppose y*u = -0*u + p + 216, 4*p + 115 = u. Is 27 a factor of u? False Let z be 31 - (-3)/18*(6 + 0). Let u be (1 - -1)/(0 + -1). Is 6 a factor of (8/(-16))/(u/z)? False Let r(l) = 38*l + 41. Let k be r(-8). Let p = -195 - k. Is 2 a factor of p? True Suppose 30*x = 81952 + 16328. Is x a multiple of 39? True Let d be ((-210)/8)/(-3) - (-29)/116. Is ((-63)/d + 6)/((-1)/57) a multiple of 12? False Is (497475/44)/(30/(-40) - -1) a multiple of 135? True Is 6 a factor of (-9712)/(3 + -11) - -4? True Let k be ((-74)/(-3) - -5)/((-1)/(-21)). Suppose -53 = 19*j - k. Is j a multiple of 15? True Let t = -32549 + 88885. Is t a multiple of 112? True Does 6 divide ((-117)/13 - 7) + 13569? False Let l = 29296 - 4100. Is 11 a factor of l? False Suppose -6661 = 49*d - 87952. Does 7 divide d? True Let c be (5 - 0)*(-12)/(-20). Let x(o) = -3*o**3 + 3*o**2 - 3*o + 7. Let l(z) = 2*z**3 - 2*z**2 + z - 4. Let a(h) = 5*l(h) + 3*x(h). Does 2 divide a(c)? False Suppose 3*t - 60585 = -5*q, -58828 = -3*q + 4*t - 22448. Does 101 divide q? True Let n = 476 + -470. Suppose 1123 = n*p - 791. Is 7 a factor of p? False Suppose -n + 9 = -3*s - 0*n, -s + 4*n = 3. Let h be -3 - (4*s + -3). Suppose 14 = m - h. Is 11 a factor of m? False Let p(r) = -33*r + 1782. Is 63 a factor of p(-72)? True Let n(y) = -13*y**3 - 2*y**2 + y + 2. Let z be n(-1). Suppose -z*r = -521 - 31. Suppose -17 = -7*v + r. Is v a multiple of 9? True Suppose 3*v + 4*w - 4 = 0, v + 4*w = 2*w. Suppose -3*o - 380 + 35 = -3*m, 0 = m - v*o - 124. Suppose -3*n - 3*h + 381 = -6*h, n + 4*h = m. Is 43 a factor of n? False Suppose 27*q = 24*q + 15. Let t be (q*5/(-25))/((-1)/1645). Suppose 5*z - 4*j = -8*j + t, -4*z = -3*j - 1316. Is 24 a factor of z? False Suppose 7470 - 57601 = -3*i - p, i = 2*p + 16708. Is i a multiple of 70? False Let r(p) = 8*p**2 + 26 - 20*p - 8*p**2 - 2*p**2. Let x be r(-11). Suppose x*z = 349 + 179. Is 14 a factor of z? False Let q(g) = 7*g**2 + 10. Suppose -15*c + 3 = -14*c. Let t be ((-8)/2)/(-4) + c. Is 15 a factor of q(t)? False Does 153 divide ((-68)/(-8))/((-1)/4 + (-497)/(-1980))? True Let h be (38/(-10))/19 + 562/10. Suppose -h*q + 9642 = -35158. Does 25 divide q? True Let x = 281 - 278. Suppose -x*t - 5*v = -2323 + 637, 564 = t + v. Does 63 divide t? True Suppose f + 2*m - 5*m - 581 = 0, 3*m = -3*f + 1671. Is 6 a factor of f? False Let c(d) be the first derivative of -595*d**2/2 - 4*d - 222. Is 7 a factor of c(-1)? False Is (27403005/(-23))/(-49) + (2 - (0 + -1)) a multiple of 63? True Let c(i) = -i**3 + 6*i**2 + 21*i - 96. Let h be c(7). Does 42 divide ((-1448480)/209)/(-5) + h/(-19)? True Does 30 divide -6 - -3470*(5 - (0 + 4))/2? False Let b = -8034 - -10690. Does 3 divide b? False Let x(n) = -3*n**3 - 3*n**2 + n + 5. Let u(f) = -f**3 - f**2 + 2. Let r(b) = -8*u(b) + 3*x(b). Let j be r(0). Is 12 a factor of 39 + (0/j)/(-1)? False Let h(x) = -70*x - 3. Let o = -46 - -17. Let r = 27 + o. Is 14 a factor of h(r)? False Suppose 0 = l + 3*l + 5*w - 29, -2*l - 4*w + 16 = 0. Suppose l*t = 11*t - 20. Suppose -381 = -t*f - 9. Does 38 divide f? False Let i(g) be the third derivative of 11*g**5/5 + g**4/6 - 3*g**3/2 + 132*g**2. Is 31 a factor of i(2)? True Suppose 11 + 11 = 2*h - 4*x, -3*h + x = -33. Suppose 3*n + 9*t = 7*t + 23, 3*t = 2*n - h. Suppose 336 = n*c + c. Does 7 divide c? True Let x(m) =
{ "pile_set_name": "DM Mathematics" }
In base 11, what is -4 + -25? -29 In base 7, what is 5 - 315? -310 In base 16, what is 0 - 0? 0 In base 11, what is 15 + -7? 9 In base 13, what is -3 + 5? 2 In base 4, what is -222 - -112? -110 In base 8, what is 5 + -502? -475 In base 16, what is -1 - c2? -c3 In base 15, what is 40 + -3? 3c In base 6, what is 0 - -2450? 2450 In base 13, what is 5 - -38? 40 In base 8, what is -7 + -1023? -1032 In base 4, what is -31 + -3? -100 In base 3, what is 110 - -1212100? 1212210 In base 13, what is -3 - c47? -c4a In base 5, what is -4 + 1013? 1004 In base 7, what is 11601 - -3? 11604 In base 11, what is -20 - -62? 42 In base 9, what is -2816 - -2? -2814 In base 3, what is 10012 + 1? 10020 In base 7, what is 5 + 355? 363 In base 14, what is a2 - -4? a6 In base 4, what is -113111 - 13? -113130 In base 15, what is -4 - -19d? 199 In base 12, what is -3 + -1343? -1346 In base 5, what is -10 - -30? 20 In base 12, what is -16 - -104? aa In base 7, what is 41 + -6? 32 In base 14, what is 158 - 2? 156 In base 10, what is 4 - 73? -69 In base 3, what is -21 + -1000212? -1001010 In base 14, what is -11b - -1a? -101 In base 16, what is -6b + -4? -6f In base 9, what is 343 - -2? 345 In base 2, what is 11 + 1100101? 1101000 In base 3, what is 21 - -2221? 10012 In base 16, what is 8 + -b28? -b20 In base 8, what is 5 + 65? 72 In base 8, what is -6 - 1220? -1226 In base 6, what is -25252 - 5? -25301 In base 12, what is -131 + 5? -128 In base 14, what is -56 - -18? -3c In base 7, what is -36 - 101? -140 In base 5, what is -12311 - 2? -12313 In base 10, what is 351 - 11? 340 In base 3, what is 11 + 2202? 2220 In base 6, what is 234 - -322? 1000 In base 2, what is 0 + 1010? 1010 In base 9, what is 10131 - 4? 10126 In base 10, what is -2 + 189? 187 In base 12, what is 4 - -1901? 1905 In base 16, what is b3c - 3? b39 In base 6, what is -14 - -21? 3 In base 13, what is c6 + -1? c5 In base 13, what is 4 - 342? -33b In base 2, what is 111 - 1000? -1 In base 7, what is -46 + 225? 146 In base 14, what is -dd - 5? -104 In base 7, what is 1630 - 2? 1625 In base 13, what is -2 - 591? -593 In base 6, what is 4 - 531? -523 In base 10, what is -2478 + 0? -2478 In base 8, what is 12 - 74? -62 In base 7, what is 6241 + 5? 6246 In base 11, what is 4385 - 1? 4384 In base 14, what is 10 + 1b? 2b In base 16, what is -2a6 + 0? -2a6 In base 2, what is -10000000011010 - -1? -10000000011001 In base 12, what is 0 - 1521? -1521 In base 13, what is -5 - -180? 178 In base 6, what is 2 - -454? 500 In base 5, what is -30 + -32? -112 In base 2, what is 100110 + -111110? -11000 In base 15, what is -2c5 + -3? -2c8 In base 8, what is 3 + 100? 103 In base 14, what is -d8 + 14? -c4 In base 3, what is 0 - -1201221? 1201221 In base 14, what is 4 - 80? -7a In base 9, what is 0 - 6621? -6621 In base 9, what is -375 - -5? -370 In base 4, what is -211 + 130? -21 In base 8, what is 7740 + 4? 7744 In base 5, what is -101 + -3421? -4022 In base 4, what is -2 + 131111? 131103 In base 15, what is 3 + -49? -46 In base 8, what is 13 - -2342? 2355 In base 13, what is -1 - -28? 27 In base 11, what is -556 - 4? -55a In base 14, what is -5 - 31? -36 In base 2, what is -100 - -10101? 10001 In base 5, what is -3 + 403? 400 In base 14, what is 22 - -3? 25 In base 4, what is -1 - -12312? 12311 In base 16, what is -1c - 142? -15e In base 3, what is 1 + -20112? -20111 In base 3, what is -11 + -10222022? -10222110 In base 10, what is -1 - 151? -152 In base 4, what is -1 - 2222? -2223 In base 6, what is 5 - -50? 55 In base 15, what is -13 - 116? -129 In base 2, what is 111 - -10011? 11010 In base 12, what is -5 + 501? 4b8 In base 14, what is -10 + -2b? -3b In base 5, what is 20432 + 11? 20443 In base 6, what is -2 - 1144? -1150 In base 10, what is -5 - -2426? 2421 In base 8, what is -333 - -2? -331 In base 13, what is 101 - 3? cb In base 14, what is -423 + 21? -402 In base 14, what is 18d + 1? 190 In base 11, what is -6 + -12a0? -12a6 In base 8, what is 50551 - -5? 50556 In base 14, what is a - -73? 7d In base 5, what is 1 - -113004? 113010 In base 3, what is 11 + 2012? 2100 In base 14, what is 520a + 1? 520b In base 11, what is -2 + -8? -a In base 15, what is -2 - 159d? -15a0 In base 2, what is 1000 + 100111101? 101000101 In base 15, what is -3 - -91? 8d In base 14, what is -52 - -1? -51 In base 8, what is 105 - 16? 67 In base 16, what is -1 - 9a? -9b In base 15, what is 2 - -2d8? 2da In base 8, what is -6 + -1? -7 In base 15, what is 3 - 5d? -5a In base 7, what is -211 + -3? -214 In base 14, what is -62 + 1a? -46 In base 7, what is -55 + -3? -61 In base 15, what is -28 - bd? -e6 In base 7, what is 13206 + -5? 13201 In base 13, what is 2 + -68? -66 In base 10, what is -2 + 93? 91 In base 8, what is 2 + -7? -5 In base 3, what is -1 + 1120? 1112 In base 3, what is 21000 + 2100? 100100 In base 13, what is -2954 - -1? -2953 In base 16, what is -e + 2d? 1f In base 8, what is 2 + -1051? -1047 In base 10, what is 3607 + 2? 3609 In base 5, what is -13434 + -10? -13444 In base 11, what is 61a + -5? 615 In base 2, what is -1111101110 + -11? -1111110001 In base 9, what is -3441 + -5? -3446 In base 9, what is -5 - 7? -13 In base 3, what is -1021212 - -10? -1021202 In base 5, what is -4 + 3342? 3333 In base 15, what is -5b + -67? -c3 In base 10, what is 66 + 2? 68 In base 9, what is 2 - -3880? 3882 In base 9, what is 36 + -4? 32 In base 4, what is 201320 + 1? 201321 In base 12, what is -17 - 2? -19 In base 2, what is 10001000110 - 10? 10001000100 In base 8, what is 151 - 7? 142 In base 11, what is 9 + -10? -2 In base 6, what is -540 + 3? -533 In base 8, what is 4 - 3152? -3146 In base 6, what is -110 + 35? -31 In base 8, what is -4 - -10? 4 In base 14, what is 16 - -c7? dd In base 13, what is -1a9 - 0? -1a9 In base 8, what is 101 + -2? 77 In base 6, what is -3 - 31352? -31355 In base 12, what is -2a + -59? -87 In base 15, what is -6c + 3? -69 In base 5, what is -1313 - -4? -1304 In base 6, what is -524 - -14? -510 In base 4, what is -20013 + -2? -20021 In base 8, what is -36073 - -4? -36067 In base 15, what is -40c - -4? -408 In base 16, what is 5 - 7? -2 In base 10, what is -5 - -585? 580 In base 13, what is -17 - -80? 66 In base 15, what is -6085 + 2? -6083 In base 14, what is 335d - 5? 3358 In base 7, what is 1 + -20333? -20332 In base 3, what is 1 + 200101? 200102 In base 4, what is 123 + 3? 132 In base 16, what is -1234 - -5? -122f In base 3, what is 201112 + 1000? 202112 In base 2, what is -100111001001 + -11? -100111001100 In base 6, what is -2 - 42? -44 In base 7, what is 404 - -4? 411 In base 14, what is 22c - -a? 238 In base 6, what is -313150 - -5? -313141 In base 3, what is 11 - -110121? 110202 In base 2, what is 11 - -100111100011? 100111100110 In base 6, what is -200 + 4? -152 In base 7, what is -2 + -605? -610 In base 13, what is -a - c? -19 In base 5, what is 20 + 121? 141 In base 10, what is 1 + 30? 31 In base 2, what is -10100111 + 101? -10100010 In base 6, what is -1000 - 2? -1002 In base 10, what is -2562 + 4? -2558 In base 9, what is 2 + -116? -114 In base 9, what is 53 - -1? 54 In base 7, what is -1035 + -2? -1040 In base 9, what is -5 + -221? -226 In base 6, what is 13 + 5? 22 In base 8, what is -13 - 2? -15 In base 16, what is -1c3 - 0? -1c3 In base 11, what is 7 - -348? 354 In base 5, what is -10 + -100? -110 In base 16, what is 17d + -4? 179 In base 9, what is -3 - 4? -7 In base 15, what is 2 + -1c? -1a In base 2, what is 0 - 101101111? -101101111 In base 6, what is 5 - -105? 114 In base 15, what is 18 - -1e? 37 In base 4, what is 2320 + -133? 2121 In base 9, what is 1 - -103? 104 In base 12, what is -6 + -5? -b In base 8, what is 33 - -204? 237 In base 11, what is -26 - -239? 213 In base 8, what is 54 - 747? -673 In base 8, what is -35 - 2? -37 In base 2, what is 1011 + -1100001100? -1100000001 In base 8, what is 4 - -1024? 1030 In base 5, what is -12414 - -3? -12411 In base 13, what is 1aa8 - 1? 1aa7 In base 4, what is -1 + 0? -1 In base 4, what is 2230 - 32? 2132 In base 6, what is -5011 + -11? -5022 In base 15, what is -2 - -38? 36 In base 2, what is -111 + 10010? 1011 In base 15, what is -3 - 28? -2b In base 15, what is 4 + 46? 4a In base 6, what is 3 - 15305? -15302 In base 8, what is 31 - 42? -11 In base 15
{ "pile_set_name": "DM Mathematics" }
- 53e4? -53f6 In base 13, what is -3 - 1043b? -10441 In base 7, what is 6065 - -1400? 10465 In base 9, what is -1370 - 316? -1686 In base 11, what is -10 - 470? -480 In base 16, what is 24 + 54ec? 5510 In base 10, what is 9 - 1054? -1045 In base 16, what is 631e1 + -4? 631dd In base 5, what is 1 + -144210020? -144210014 In base 15, what is -124d1e - -2? -124d1c In base 12, what is 41b2 - -55? 4247 In base 13, what is -b9c + -76? -c45 In base 10, what is 5 - -7908? 7913 In base 8, what is -10 - 717015? -717025 In base 10, what is -6 + -22989? -22995 In base 7, what is 24 - 154033? -154006 In base 8, what is 3 + -2627367? -2627364 In base 4, what is 20 + 2021122? 2021202 In base 15, what is -2 + -17619? -1761b In base 5, what is -14 + -1144? -1213 In base 13, what is 2a + 11383? 113b0 In base 11, what is -49 - 83a? -888 In base 8, what is 4 - 462016? -462012 In base 2, what is 1101010011000111101 - 0? 1101010011000111101 In base 15, what is 1a - -34b? 366 In base 3, what is -2111222 - -1211? -2110011 In base 8, what is 470224 - -1? 470225 In base 14, what is 5cbd + -c? 5cb1 In base 11, what is -107 + -646? -752 In base 14, what is -155c - a3? -1621 In base 7, what is -10214 + -10? -10224 In base 16, what is -9 - ff1? -ffa In base 15, what is a + -15? -a In base 12, what is -58 + -4236? -4292 In base 11, what is 542a - -61? 5490 In base 10, what is 12201 - 46? 12155 In base 10, what is 3001271 + -4? 3001267 In base 14, what is -126456 + -2? -126458 In base 11, what is 9 - 3a05? -39a7 In base 5, what is 1124200130 - 3? 1124200122 In base 15, what is 63 + 33? 96 In base 11, what is -1942 - 587? -2419 In base 10, what is -120 - -58? -62 In base 3, what is 12 + -122011222? -122011210 In base 13, what is -b36 - -16b? -998 In base 7, what is 341555 - -26? 341614 In base 9, what is 72004 + 4? 72008 In base 9, what is 367 - -2653? 3131 In base 11, what is 1531 + -105? 1427 In base 12, what is 6b + 6063? 6112 In base 14, what is -19 + 6bb1? 6b96 In base 4, what is -31 - -1022112? 1022021 In base 10, what is -10 + 60157? 60147 In base 15, what is -216 - 1b3? -3c9 In base 3, what is 102 - 11220010? -11212201 In base 9, what is 301 + 610? 1011 In base 4, what is -1 + -23303221? -23303222 In base 2, what is 1101011011011101 + 101010? 1101011100000111 In base 5, what is 20 - 131333? -131313 In base 16, what is 8f431 + -1? 8f430 In base 2, what is -101 - -111010010110? 111010010001 In base 16, what is 4a78 - -3? 4a7b In base 9, what is 217 - -434? 652 In base 11, what is 66 + -39? 28 In base 15, what is -4 + 3a73? 3a6e In base 11, what is -1061 + -717? -1778 In base 2, what is 1010111 + -11101001110? -11011110111 In base 8, what is -2671 - -764? -1705 In base 12, what is 1774564 - 3? 1774561 In base 4, what is 100301213 + 0? 100301213 In base 16, what is -3 - 421? -424 In base 16, what is 110 - -63? 173 In base 11, what is 177 + -1991? -1815 In base 5, what is 24 - -200144? 200223 In base 15, what is -4 - -1b7d8? 1b7d4 In base 8, what is -250 + 3422? 3152 In base 16, what is da - -16d0? 17aa In base 13, what is 10 - 29c4? -29b4 In base 11, what is -16644 + 3? -16641 In base 12, what is 1275 - 86? 11ab In base 12, what is 5 - -70883? 70888 In base 9, what is -76 + 286? 210 In base 3, what is 20 - -202001121121? 202001121211 In base 9, what is 5 - -8337? 8343 In base 10, what is -1707 + 82? -1625 In base 4, what is -12 + -110010? -110022 In base 6, what is -1353 - 5? -1402 In base 13, what is -469 + b? -45b In base 5, what is 2444 - -20420? 23414 In base 2, what is 1011001000110101 + 110? 1011001000111011 In base 3, what is 12 + 1001220100? 1001220112 In base 16, what is -921 + -10f? -a30 In base 4, what is 2 + 112011121? 112011123 In base 7, what is -265 - 204? -502 In base 15, what is a8 - 20d? -155 In base 3, what is 1112102222 + -12? 1112102210 In base 6, what is -3 - 2405? -2412 In base 2, what is 100011001001 - 1010011? 100001110110 In base 3, what is -12 + -2212002212101? -2212002212120 In base 13, what is -aa941 - -5? -aa939 In base 5, what is 10 + 122234? 122244 In base 6, what is -451 + 4032? 3141 In base 13, what is -12 - 5a02? -5a14 In base 8, what is 4 - 4105? -4101 In base 3, what is -2022 + -11001101? -11010200 In base 8, what is 14100 - -16? 14116 In base 6, what is -53423 - 11? -53434 In base 15, what is 2e936 - -5? 2e93b In base 10, what is -5735 - 1? -5736 In base 9, what is -282 - 213? -505 In base 8, what is -27 + -64? -113 In base 15, what is 4 - 4c5b? -4c57 In base 4, what is 111323032 - 11? 111323021 In base 10, what is 5 + -140593? -140588 In base 8, what is 13 + -342? -327 In base 8, what is 3 - -121761? 121764 In base 15, what is -2 + 1a353? 1a351 In base 2, what is -1010010010011110 - -1? -1010010010011101 In base 8, what is 13512 - 176? 13314 In base 8, what is 44371 - 0? 44371 In base 14, what is -c1702 - 2? -c1704 In base 16, what is -23b6 - 1? -23b7 In base 11, what is -15 + -32360? -32375 In base 4, what is -10010 + -233? -10303 In base 12, what is b4b + -7b? a90 In base 2, what is 110 - -111101010111? 111101011101 In base 16, what is -2 + -ca12? -ca14 In base 8, what is -70633 - -1? -70632 In base 3, what is -121 + -1012101202? -1012102100 In base 5, what is -10 + -2040201? -2040211 In base 4, what is -13 + 1120120023? 1120120010 In base 9, what is 28 + -17060? -17031 In base 4, what is 101 - 111113101? -111113000 In base 4, what is -2 + 12122313? 12122311 In base 12, what is -54 + -4a9? -541 In base 8, what is 521103 + 3? 521106 In base 3, what is -100002220101 + -101? -100002220202 In base 13, what is 3 + -46c90? -46c8a In base 13, what is -229 - -600? 3a4 In base 9, what is 28 + -58444? -58415 In base 6, what is 344340 - 5? 344331 In base 4, what is -1 - 23232021? -23232022 In base 5, what is -103 + 120040? 114432 In base 8, what is -31604 - -110? -31474 In base 4, what is -100 - 103101210? -103101310 In base 12, what is -22 + 9695? 9673 In base 16, what is -15c06 - 14? -15c1a In base 12, what is 92a91 - -4? 92a95 In base 13, what is 1 + b206? b207 In base 16, what is -28 - 13847? -1386f In base 16, what is -933 + -16? -949 In base 15, what is -91aa + 11? -9199 In base 10, what is 3166884 + 2? 3166886 In base 7, what is -105035 + -52? -105120 In base 7, what is -3 + -665? -1001 In base 6, what is 5002 - 14214? -5212 In base 14, what is 3b + 15079? 150b6 In base 4, what is 31 - -11210322? 11211013 In base 2, what is -111011001101010110 - -101? -111011001101010001 In base 8, what is 11 + 2446? 2457 In base 15, what is -702 - -31? -6c1 In base 15, what is 849 + 0? 849 In base 11, what is -11 - 642? -653 In base 4, what is -11002333 + 10? -11002323 In base 9, what is -56 + -764? -831 In base 11, what is 11a5 - -1? 11a6 In base 5, what is -401 - -4400? 3444 In base 2, what is 100001 - 101010010110101000? -101010010110000111 In base 14, what is 356 + 3b? 393 In base 6, what is -5 + -23443? -23452 In base 9, what is -164 - 6383? -6557 In base 5, what is -330 - 1234? -2114 In base 6, what is 50 + -23505? -23415 In base 11, what is -549 + a6? -453 In base 5, what is 10 + -103322? -103312 In base 2, what is -1101111 + -10100011100011010? -10100011110001001 In base 7, what is 125 + -53366? -53241 In base 7, what is 0 + -14650? -14650 In base 7, what is 4 + -2444514? -2444510 In base 3, what is 110 - -221020220? 221021100 In base 12, what is 122b - -8? 1237 In base 14, what is 5 + -12d05? -12d00 In base 13, what is -12389 + -3? -1238c In base 14, what is 23 + -57? -34 In base 7, what is 1 + -1121501? -1121500 In base 10, what is -4085 - -25? -4060 In base 4, what is -3 - 110133313? -110133322 In base 16, what is 4d + b67? bb4 In base 11, what is 234 + -37? 1a8 In base 16, what is -38 + -7d50? -7d88 In base 12, what is 9a - -4945? 4a23 In base 11, what is 34 - 1266? -1232 In base 8, what is -5 + 2133660? 2133653 In base 11, what is 7 - 17689? -17682 In base 5, what is -11321 - 42? -11413 In base 12, what is 222726 - 7? 22271b In base 6, what is -2231 + -13550? -20221 In base 4, what is 23221123 - 0? 23221123 In base 11, what is -5 + -12859? -12863 In base 11, what is -6a - -12248? 12189 In base 16, what is -4f62 - 0? -4f62 In base 16, what is -378 + -209? -581 In base 4, what is 0 + -12232220? -12232220 In base 15, what is 8 + 46377?
{ "pile_set_name": "DM Mathematics" }
ors of 17583? 3, 5861 What are the prime factors of 6697? 37, 181 What are the prime factors of 2930? 2, 5, 293 What are the prime factors of 1251? 3, 139 What are the prime factors of 54727? 54727 List the prime factors of 7029. 3, 11, 71 List the prime factors of 27427. 27427 List the prime factors of 8732. 2, 37, 59 What are the prime factors of 4414? 2, 2207 What are the prime factors of 16206? 2, 3, 37, 73 List the prime factors of 230. 2, 5, 23 What are the prime factors of 3117? 3, 1039 List the prime factors of 8636. 2, 17, 127 List the prime factors of 3163. 3163 List the prime factors of 22593. 3, 17, 443 List the prime factors of 24086. 2, 12043 List the prime factors of 500. 2, 5 What are the prime factors of 30431? 30431 List the prime factors of 5401. 11, 491 What are the prime factors of 9536? 2, 149 List the prime factors of 296. 2, 37 List the prime factors of 10682. 2, 7, 109 What are the prime factors of 3752? 2, 7, 67 What are the prime factors of 822? 2, 3, 137 What are the prime factors of 1770? 2, 3, 5, 59 List the prime factors of 2227. 17, 131 List the prime factors of 38242. 2, 19121 What are the prime factors of 1677? 3, 13, 43 What are the prime factors of 3600? 2, 3, 5 List the prime factors of 28256. 2, 883 What are the prime factors of 1632? 2, 3, 17 What are the prime factors of 45625? 5, 73 List the prime factors of 2748. 2, 3, 229 List the prime factors of 830. 2, 5, 83 List the prime factors of 53218. 2, 11, 41, 59 List the prime factors of 5974. 2, 29, 103 List the prime factors of 19095. 3, 5, 19, 67 List the prime factors of 47973. 3, 15991 What are the prime factors of 3938? 2, 11, 179 List the prime factors of 55798. 2, 23, 1213 What are the prime factors of 283? 283 List the prime factors of 11651. 61, 191 List the prime factors of 160027. 7, 22861 List the prime factors of 2741. 2741 List the prime factors of 41584. 2, 23, 113 List the prime factors of 10365. 3, 5, 691 List the prime factors of 145. 5, 29 What are the prime factors of 36292? 2, 43, 211 List the prime factors of 3244. 2, 811 What are the prime factors of 21466? 2, 10733 What are the prime factors of 1386? 2, 3, 7, 11 List the prime factors of 10262. 2, 7, 733 What are the prime factors of 7656? 2, 3, 11, 29 What are the prime factors of 18995? 5, 29, 131 What are the prime factors of 5076? 2, 3, 47 List the prime factors of 58163. 7, 1187 What are the prime factors of 51905? 5, 7, 1483 List the prime factors of 2039. 2039 What are the prime factors of 2990? 2, 5, 13, 23 List the prime factors of 14061. 3, 43, 109 What are the prime factors of 2317? 7, 331 List the prime factors of 362. 2, 181 What are the prime factors of 219? 3, 73 What are the prime factors of 893? 19, 47 What are the prime factors of 13250? 2, 5, 53 List the prime factors of 1086. 2, 3, 181 What are the prime factors of 30352? 2, 7, 271 List the prime factors of 7545. 3, 5, 503 List the prime factors of 6546. 2, 3, 1091 What are the prime factors of 7224? 2, 3, 7, 43 List the prime factors of 14324. 2, 3581 List the prime factors of 314. 2, 157 List the prime factors of 165308. 2, 11, 13, 17 List the prime factors of 1784. 2, 223 List the prime factors of 8029. 7, 31, 37 What are the prime factors of 39? 3, 13 What are the prime factors of 5714? 2, 2857 What are the prime factors of 105245? 5, 7, 31, 97 List the prime factors of 7677. 3, 853 List the prime factors of 319. 11, 29 List the prime factors of 1837. 11, 167 What are the prime factors of 42556? 2, 10639 What are the prime factors of 5362? 2, 7, 383 What are the prime factors of 2875? 5, 23 List the prime factors of 1156. 2, 17 List the prime factors of 4445. 5, 7, 127 What are the prime factors of 10309? 13, 61 List the prime factors of 23560. 2, 5, 19, 31 What are the prime factors of 9717? 3, 41, 79 List the prime factors of 8614. 2, 59, 73 What are the prime factors of 1373? 1373 List the prime factors of 7640. 2, 5, 191 What are the prime factors of 25706? 2, 12853 What are the prime factors of 12054? 2, 3, 7, 41 What are the prime factors of 5561? 67, 83 List the prime factors of 2908. 2, 727 List the prime factors of 100950. 2, 3, 5, 673 What are the prime factors of 18006? 2, 3, 3001 What are the prime factors of 1301? 1301 List the prime factors of 1762. 2, 881 What are the prime factors of 235? 5, 47 What are the prime factors of 60? 2, 3, 5 List the prime factors of 29897. 7, 4271 What are the prime factors of 555? 3, 5, 37 List the prime factors of 19581. 3, 61, 107 List the prime factors of 6473. 6473 List the prime factors of 15317. 17, 53 What are the prime factors of 1424? 2, 89 What are the prime factors of 51330? 2, 3, 5, 29, 59 What are the prime factors of 8064? 2, 3, 7 What are the prime factors of 848? 2, 53 List the prime factors of 794. 2, 397 List the prime factors of 15720. 2, 3, 5, 131 List the prime factors of 584. 2, 73 List the prime factors of 27166. 2, 17, 47 List the prime factors of 61698. 2, 3, 7, 13, 113 What are the prime factors of 8393? 7, 11, 109 List the prime factors of 58506. 2, 3, 7, 199 What are the prime factors of 4795? 5, 7, 137 What are the prime factors of 421? 421 What are the prime factors of 497? 7, 71 List the prime factors of 3200. 2, 5 List the prime factors of 50349. 3, 13, 1291 List the prime factors of 66301. 66301 List the prime factors of 1886. 2, 23, 41 What are the prime factors of 5182? 2, 2591 List the prime factors of 7821. 3, 11, 79 List the prime factors of 7390. 2, 5, 739 List the prime factors of 46804. 2, 11701 List the prime factors of 898. 2, 449 What are the prime factors of 608? 2, 19 What are the prime factors of 710? 2, 5, 71 List the prime factors of 38744. 2, 29, 167 List the prime factors of 54202. 2, 41, 661 What are the prime factors of 9749? 9749 What are the prime factors of 70524? 2, 3, 653 List the prime factors of 22625. 5, 181 List the prime factors of 12733. 7, 17, 107 What are the prime factors of 47687? 43, 1109 What are the prime factors of 1492? 2, 373 What are the prime factors of 16381? 16381 List the prime factors of 12378. 2, 3, 2063 List the prime factors of 129727. 13, 17, 587 List the prime factors of 6292. 2, 11, 13 What are the prime factors of 423? 3, 47 What are the prime factors of 7766? 2, 11, 353 List the prime factors of 4693. 13, 19 List the prime factors of 2153. 2153 What are the prime factors of 2131? 2131 List the prime factors of 2742. 2, 3, 457 List the prime factors of 21301. 7, 17, 179 List the prime factors of 1023. 3, 11, 31 List the prime factors of 536. 2, 67 List the prime factors of 7137. 3, 13, 61 What are the prime factors of 51174? 2, 3, 2843 List the prime factors of 34418. 2, 17209 What are the prime factors of 1858? 2, 929 What are the prime factors of 2692? 2, 673 What are the prime factors of 4211? 4211 List the prime factors of 340. 2, 5, 17 What are the prime factors of 22143? 3, 11, 61 List the prime factors of 4246. 2, 11, 193 List the prime factors of 138436. 2, 53, 653 What are the prime factors of 80918? 2, 40459 What are the prime factors of 1739? 37, 47 List the prime factors of 98549. 11, 17, 31 List the prime factors of 2280. 2, 3, 5, 19 What are the prime factors of 103197? 3, 41, 839 What are the prime factors of 76081? 76081 List the prime factors of 28260. 2, 3, 5, 157 What are the prime factors of 4131? 3, 17 List the prime factors of 93417. 3, 31139 What are the prime factors of 19457? 19457 What are the prime factors of 58348? 2, 29, 503 What are the prime factors of 48029? 48029 List the prime factors of 13335. 3, 5, 7, 127 What are the prime factors of 11081? 7, 1583 List the prime factors of 26653. 11, 2423 List the prime factors of 37609. 11, 13, 263 What are the prime factors of 4401? 3, 163 List the prime factors of 61793. 61, 1013 List the prime factors of 11141. 13, 857 What are the prime factors of 478? 2, 239 What are the prime factors of 39958? 2, 19979 List the prime factors of 61029. 3, 6781 List the prime factors of 56294. 2, 7, 4021 List the prime factors of 722. 2, 19 List the prime factors of 4576. 2, 11, 13 What are the prime factors of 15753? 3, 59, 89 List the prime factors of 1759. 1759 List the prime factors of 41498. 2, 20749 List the
{ "pile_set_name": "DM Mathematics" }
**2 - 4*o. Let t be k(4). Let v = -1 + t. Let p(x) be the first derivative of -x**2/2 - x - 2. What is v*u(i) + 6*p(i)? 2*i + 2 Let v(m) = 5*m**3 - m**2 - 2*m - 1. Let l be v(-1). Let u(d) = -3*d - 2. Let o(y) = 4 + 0*y + 2 - 3 + 4*y. Calculate l*u(j) - 4*o(j). -j - 2 Let o(n) = n**3 + n**2 - 1. Let p(v) = 9*v**3 + 3*v**2 - 3. Give 15*o(z) - 5*p(z). -30*z**3 Let g(q) = -q**3 - q**2 - q. Suppose -5*t + 8 = 3*t. Let u(x) = x**3 - 1. Let y(n) = 3*n**3 + n**2 - n - 2. Let l(c) = 2*u(c) - y(c). Give t*g(i) + l(i). -2*i**3 - 2*i**2 Let d(i) = -2. Let m(y) = y**2 - 7. Determine 7*d(j) - 2*m(j). -2*j**2 Let q(f) = 2*f + 1. Suppose -11 - 29 = -2*x. Suppose 5*v = -0*v - x. Let j(y) = 2*y. Determine v*j(o) + 3*q(o). -2*o + 3 Let p(z) = -3*z**3 + 4*z**2 - 2. Suppose 5 = 5*d, 0 = -t + d - 2. Let k(c) = c**3 - c**2 - 1. Determine t*p(l) - 4*k(l). -l**3 + 6 Let w(u) = 2*u**3 + 4*u**2 - 3*u - 2. Let b(z) = 3*z**3 + 5*z**2 - 3*z - 1. Give -4*b(c) + 5*w(c). -2*c**3 - 3*c - 6 Let c(g) = -13*g - 12 - 8 + 15. Let j(p) = 3*p + 1. What is -4*c(y) - 18*j(y)? -2*y + 2 Let n(g) = g - 1. Let k be -3 + (-2 - (-8 - -4)). Let z(c) = -2*c + 3. Let i(w) = k*z(w) - 3*n(w). Let s(o) = 3*o**2 - 2*o. What is -4*i(h) + s(h)? 3*h**2 + 2*h Let a(o) = 20*o**3 - 11*o**2 - 20*o + 17. Let i(m) be the first derivative of -7*m**4/4 + 4*m**3/3 + 7*m**2/2 - 6*m - 6. What is 6*a(p) + 17*i(p)? p**3 + 2*p**2 - p Let n(z) = 10*z**2 - 5*z. Let u(h) = -5*h**2 + 3*h. What is 6*n(k) + 10*u(k)? 10*k**2 Let a(d) = 2*d - 4. Let x be a(3). Let q(p) = 5 - 2*p + 7*p + x - 3. Let g(w) = -14*w - 11. Calculate 6*g(h) + 17*q(h). h + 2 Let h(g) = 3. Let l(j) = -j + 3. Let a(t) = t - 3. Let c be a(0). Let v(p) = c*h(p) + 2*l(p). Let u(y) = 1. Let d be ((-2)/3)/((-4)/(-6)). Give d*v(o) - 2*u(o). 2*o + 1 Let m(v) = -v**3 + v**2 + v + 1. Let u(h) be the third derivative of -h**5/60 - h**4/24 - h**3/6 - 18*h**2. Calculate 2*m(j) + 2*u(j). -2*j**3 Let u(h) = -100*h + 17. Let f(a) = -25*a + 4. Calculate 9*f(q) - 2*u(q). -25*q + 2 Let o(c) = 14*c**2 + 8*c - 58. Let f(t) = -9*t**2 - 5*t + 39. Give 8*f(d) + 5*o(d). -2*d**2 + 22 Let r(z) = -3*z + 1. Let l(a) be the third derivative of 2/3*a**3 + 5*a**2 + 0*a + 0 - 13/24*a**4. Determine 2*l(g) - 9*r(g). g - 1 Let f(u) = 12*u**3 - 10*u**2. Suppose -3*h - 3 = -6*h. Let w be (2/4)/((-3)/36). Let c be (10/w)/((-3)/18). Let t(g) = -g**3 + g**2. What is c*t(p) + h*f(p)? 2*p**3 Let r(m) = 2*m**3 - 2*m**2 + m + 3. Suppose 20*x - 12 = 16*x. Let y(f) = 5*f**3 - 4*f**2 + 2*f + 7. Give x*y(w) - 7*r(w). w**3 + 2*w**2 - w Let k(y) = 8*y**2 - 1. Let x be k(-1). Let w(n) = -9*n**3 + 7*n**2 - 2. Let s(u) = -4*u**3 + 3*u**2 - 1. Determine x*s(g) - 3*w(g). -g**3 - 1 Let j(l) = 4*l - 1. Suppose -p - 3*p + 5 = -k, 4*k - 12 = 0. Let f(a) = 3*a. Calculate p*j(v) - 3*f(v). -v - 2 Let j(y) = 3*y - 1. Let v(i) = 3*i - 1. Let q(x) = 6*x - 2. Let n(b) = 4*q(b) - 7*v(b). Calculate -5*j(k) + 4*n(k). -3*k + 1 Let m(c) = 15*c**2 + 13*c + 4. Let z(p) = 8*p**2 + 7*p + 2. Suppose -11 = -11*g + 12*g. Calculate g*z(f) + 6*m(f). 2*f**2 + f + 2 Let s(v) = 6*v**3 + 2*v**2 - 5*v - 4. Let h = -7 + 6. Let j be h/2 - (-18)/4. Let a(q) = -q**3 + q + 1. Give j*a(m) + s(m). 2*m**3 + 2*m**2 - m Let f(l) = l**2 - l + 4. Let o(m) be the first derivative of m**3 - 3*m**2/2 + 9*m + 59. Let t(s) = s - 7. Let r be t(5). What is r*o(g) + 5*f(g)? -g**2 + g + 2 Let w(b) = -17*b**3 + 6*b**2 - 5*b + 1. Let v(z) = 35*z**3 - 11*z**2 + 9*z - 2. Calculate 6*v(t) + 11*w(t). 23*t**3 - t - 1 Let v(a) = 11*a + 5. Let r(h) = -27*h - 12. Give -5*r(w) - 12*v(w). 3*w Let n(y) = -y**3 + 21*y**2 + 46*y + 3. Let b be n(23). Let c(z) = -2*z + 1. Let w(u) = -5*u + 2. Give b*w(s) - 7*c(s). -s - 1 Let y(k) = k - 3. Let l(d) = 1. Let h(w) = -1. Let i(m) = 2*h(m) + l(m). Give 2*i(z) - y(z). -z + 1 Let w(s) = -s**2 - 2*s + 1. Let g(r) = 2*r**2 + 4*r - 2. Let n(h) = h**2 + 6*h + 3. Let u be n(-3). Give u*g(k) - 11*w(k). -k**2 - 2*k + 1 Let d(x) = 2. Let n(t) = 2*t - 10. Give -10*d(j) - 2*n(j). -4*j Let v be (-20)/6 + 5/15. Let u be (v - 0 - -5) + -10. Let i = 7 + u. Let n(g) = g**2. Let l(b) = -6*b**2 - 1. Determine i*l(s) - 4*n(s). 2*s**2 + 1 Let y(j) = -j**2 + j + 2. Let b(s) = s**3 - s**2 + 1. Let n(z) = b(z) - y(z). Let d(p) = 4*p**3 - p - 2. Suppose -12*h + 4 = -10*h. Give h*n(i) - d(i). -2*i**3 - i Let q(i) = -7*i**2. Let g(h) = -8*h**2. Calculate 2*g(k) - 3*q(k). 5*k**2 Let d(p) = 2*p**2 - 9*p - 5. Suppose 4*h = 5*l + 25, -5*h + 5*l + 6 = -24. Let v(z) = -z**2 + 4*z + 2. Give h*v(n) + 2*d(n). -n**2 + 2*n Let q(w) = -w**3 + w - 2. Let l be q(-2). Let v(i) = 16*i + 5. Let o(r) = -3*r - 1. Let c be (18 - 1) + (0 - -1). Suppose h = 4 + c. Give h*o(m) + l*v(m). -2*m - 2 Let m(h) = 2*h - 2. Let j(y) = 1 + y + 3 - 3. Let o be j(-5). Let u(d) = 2*d - 2. Let a(z) = -z. Let b be a(-5). What is b*u(w) + o*m(w)? 2*w - 2 Let y = 1 + 0. Let m(k) = -8*k - 2 + 12*k - y. Let b(t) = -t**2 - 9*t + 7. Give 2*b(u) + 5*m(u). -2*u**2 + 2*u - 1 Let q(h) = h**3 + 4*h**2 - 2*h - 4. Suppose -32 + 28 = n. Let i(o) = -2*o**3 - 7*o**2 + 4*o + 7. Calculate n*i(k) - 7*q(k). k**3 - 2*k Suppose 4*b = -b. Suppose b = 5*p + 4*x - 15, 0*p - 4*p + 6 = 2*x. Let k(w) = -w**2 - 3*w - 2. Let i(d) = -d**2 - d - 1. Determine p*k(h) + 2*i(h). -h**2 + h Suppose -13 = -4*j + 3*y, 4*j + 2*y + 2 = -0. Let p(h) = h + 1. Let w(a) = 6*a + 7. Calculate j*w(d) - 4*p(d). 2*d + 3 Let l(r) = 3*r**2 - 9*r. Let x(j) = j**3 - 11*j**2 + 9*j - 7. Let g be x(10). Let v(d) = d**2 - 3*d. Determine g*v(k) + 6*l(k). k**2 - 3*k Let o(f) = f**2 - f. Let m(z) = z**2 - 16*z. Let w(i) = -i**2 + 18*i. Let d(b) = -7*m(b) - 6*w(b). Let p = -1 - 2. Give p*o(j) - d(j). -2*j**2 - j Let q(t) = -t**3 + 14*t**2 - 11*t - 30. Let k be q(13). Let f(c) = -3*c**3 + 5*c**2 - 5*c + 5. Let h(s) = -2*s**3 + 4*s**2 - 4*s + 4. Give k*f(u) + 5*h(u). 2*u**3 Let j(l) = -l**2 - l + 1. Let u(i) = i**2 - 3*i + 4. Give -j(m) + u(m). 2*m**2 - 2*m + 3 Let o(t) = 3*t**3 - t. Let d(k) = 14*k**3 - 6*k. What is 2*d(c) - 11*o(c)? -5*c**3 - c Let d(x) be the second derivative of -x**4/12 + 5*x**3/6 - 7*x**2/2 - 2*x. Let s be d(5). Let b(o) = -5*o + 2. Let h(r) = 9*r - 3. What is s*b(v) - 4*h(v)? -v - 2 Let m(i) = 3*i**2 + i. Let c(f) = -4*f**2. Calculate 2*c(x) + 3*m(x). x**2 + 3*x Let m(r) = -2788*r - 205. Let f(l) = -41*l - 3. Give -205*f(i) + 3*m(i). 41*i Let o(p) = -2*p**3 - 3*p**2 + 2. Let h(w) = 9*w**3 + 3*w**2 - 9. Let f(z) = 4*z**3 + 2*z**2 - 4. Let q(n) = 5*f(n) - 2*h(n). Calculate 4*o(y) + 3*q(y). -2*y**3 + 2 Let l(d) = -d. Let g(t) = 23*t**3 + 5*t. Calculate -g(j) - 5*l(j). -23*j**3 Let a(i) be the first derivative of i**3/3 - i - 1. Let g(q) = -3*q**2 + 2*q + 2. Suppose 0 = -y + 6*y + 5. Calculate y*g(h) - 2*a(h). h**2 - 2*h Let o(w) = w + 1. Let j(u) = 43 - 38 + 3*u + 5*u. What is -j(k) + 6*o(k)? -2*k + 1 Let t(r) = -r**2 + 1. Let q(k) = -3*k**2 + k + 6. Give -q(y) + 5*t(y). -2*y**2 - y - 1 Let d(t) = 3*t. Let p(r) = -3*r. Let g be (8/2 - 3)*5. Suppose -g - 5 = -2*a. What is a*p(b) + 6*d(b)? 3*b Let m(t) = -5*t - 1. Let k be 63/(-6)*(-2)/3. Let j(s) = 9*s + 2. Determine k*m(c) + 4*j(c). c + 1 Let d(c) be the first derivative of -c**4 + 7*c**3/3 + 7*c**2/2 + 18. Let n(j) = 12*j**3 - 22*j**2 - 22*j. What is -16*d(t) - 5*n(t)? 4*t**3 - 2*t**2 - 2*t Let d(p) = 2*p**3 + 13*p**2 - 11*p - 3. Let g(f) = f**3 + 7*f**2 - 6*f - 2. Give 6*d(u) - 11*g(u). u**3 + u**2 + 4 Let n = -5 - -16. Let c(w) = 5*w. Let z(m) = 9*m. What is n*c(r) - 6*z(r)? r Let m(d) = -3*d**2 + 3*d - 5. Let a(o) = 2*o**2 - 20*o + 12. Let f be a(9). Let s(r) = 4*r**2 - 3*r + 6. Calculate f*m(n) - 5*s(n). -2*n**2 - 3*n Let m = -14 - -10. Let b(p) = p**2 + p - 1. Let t(w) = 3*w**2 + 4*w - 5. Let z = 5 + -5. Suppose r + 2*l - 5 = z, -3*l + 3 = -3. Determine m*b(k) + r*t(k). -k**2 - 1 Let t = -7 - -14. Let l(r) = 0 - 9*r**2 + 7*r - 7 - 1. Let p(c) = 8*c**2 - 6*c + 7. Give t*p(n) + 6*l(n). 2*n**2 + 1 Let k(m) be the first derivative of -m**2/2 - 2. Let g(z) = 3*z - 1. Let q(o) = -g(o) - 4*k(o). Let d(l) = 1. Give -3*d(i) + 2*q(i). 2*i - 1 Let j(r) be the second derivative of -r**5/10 - r**4/12 + r**3/6 + r**2 + 2*r - 41. Let n(o) = o**2 + o + 1. Give -j(b) + 2*n(b). 2*b**3 + 3*b**2 + b Let s(q) = q - q**2 - 2*q**3 + 7 + 3*q**3 - 7. Let l(u) = -u**3 + 2*u**2 - u. Suppose -5*n =
{ "pile_set_name": "DM Mathematics" }
6*a**2 + 20*a**2 + 28*a**2)*(1 - 4 + 4). 32*a**2 Expand -21*c**2 - 7*c**2 + c**2 + (1 + 1 - 3)*(-5*c + 2*c**2 + 5*c). -29*c**2 Expand (4 + 6*c - 4)*(2*c**2 + 0*c**2 + c**2)*(2*c - 2*c - c)*(3*c - 4*c + 3*c). -36*c**5 Expand (1 + 1 - 3 - 2*f)*(5*f**3 + f**3 + 0*f**3). -12*f**4 - 6*f**3 Expand (3*c + 5*c - c)*(0*c**2 + c**2 - 3*c**2)*(3*c - 2*c + 0*c). -14*c**4 Expand (-m + 0*m - 5*m)*(m**3 + 0*m**3 + 0*m**3) - m**4 - 4*m**4 + 3*m**4. -8*m**4 Expand (4*l - 2*l + 0*l + 4 - 4 - 2*l + (0 - 1 + 0)*(2*l + 2 - 2) - 3*l + l + l)*(-l - 4 + 4). 3*l**2 Expand -3*y**3 + y**3 + 0*y**3 - 2 + 27*y**3 + 2*y**3 - 21*y**3 + (0 + 4 - 2)*(-5*y**3 + y**3 + 2*y**3) - y**3 - 3*y**3 + 3*y**3. y**3 - 2 Expand (k**2 + 0 + 0)*(-2*k - 3*k - 5*k) + 2 + 2*k - k**3 - 2. -11*k**3 + 2*k Expand (-10 + 25 - 9)*(0*q + q - 2*q) - 5*q + 0*q + 3*q - 4*q + 2*q + q + (-2*q - 4 + 4)*(0 - 3 + 1) + 2*q - q + q + q - q - 2*q. -5*q Expand (2 + b - 2)*(0 + 4 + 14*b - 3). 14*b**2 + b Expand (5 + 5*x - 5)*(7 - 2 - 26). -105*x Expand -66*p**4 + 35*p**4 + 43*p**4 + (-4 + 1 + 4)*(p**4 - p**4 + p**4). 13*p**4 Expand (-4*m**2 - 1 + 9*m**2 - 3*m**2 + 5*m)*(0*m + m - 2*m). -2*m**3 - 5*m**2 + m Expand (-5*j + 9*j + 5*j)*(2 - 2 - 2 - j). -9*j**2 - 18*j Expand (-5*i - 4*i - 3*i)*(3 - 6 + 1). 24*i Expand (-1 - 1 - 4)*(z**2 + 6*z**2 - 5*z**2). -12*z**2 Expand (-3 + 0 - 2*s + 5)*(6*s + 2*s - 3*s)*(2*s - 4 + 4). -20*s**3 + 20*s**2 Expand (-v**2 + 4*v**2 - 2*v**2)*(-v**2 + 0*v + 0*v) - v**4 + v**3 - v**3 + (3*v**3 + 5*v**3 - 5*v**3)*(-3*v + 2*v + 2*v). v**4 Expand (-1 + 1 + 5)*(2 - 5*m - 2). -25*m Expand 2*v**5 - 3*v + 3*v - 2*v**3 + v**5 + 2*v**3 + 0*v**5 + 4*v**5 - 2*v**5 + (2*v + 0*v - v)*(0*v**4 - 5*v**4 + 7*v**4). 7*v**5 Expand (1 - b + 3*b - 2)*(b - 5*b + 0*b). -8*b**2 + 4*b Expand (2 - 2 - h)*(-5*h + 3*h + h) - 76*h + 19*h**2 + 76*h + (4*h + 0*h - 5*h)*(5*h - 2*h - 2*h). 19*h**2 Expand (3*f + 2 - 2)*(-6 + 4 + 4 + (0 + 3 - 2)*(-1 + 1 - 1) + 0 - 4 + 2 + 0 + 1 + 7)*(0*f**2 - 2*f**2 - f**2). -63*f**3 Expand (5 - 4 + 3)*(-2 + 2 + q). 4*q Expand (2 - 5 + 1)*(1 + o - o - 4*o) - 9*o + 11*o + o. 11*o - 2 Expand -2*s + 2*s + 2*s**2 - 4 + 4 + 6*s**2 + (-s + 0*s + 0*s)*(1 - 1 + s). 7*s**2 Expand (3*v + v - 2*v)*(v**3 - 2 + 1 + 2) + 5*v**2 - 5*v**2 + 3*v**4 + v**4 - 5*v**4 + 3*v**4. 4*v**4 + 2*v Expand (-1 + d + 1)*(-2*d + 4*d - 4*d) - 8*d**2 + 7 - 7. -10*d**2 Expand (-34*s - 28*s + 63*s + 66)*(4 - 4 + 2*s**4). 2*s**5 + 132*s**4 Expand -10*t**3 - 14*t**4 + 10*t**3 + (0*t**3 - 2*t**3 + 0*t**3)*(-1 - t + 1) + 1 - 1 + t**4. -11*t**4 Expand (-2 - 2 + 5)*(0 + 0 - 2*j)*(1 - 2 - 1). 4*j Expand (4 - 22 + 7)*(-2*a + 0*a + 0*a). 22*a Expand (2 - 2 - a)*(-4*a**3 - 16*a**2 + 16*a**2 - 1). 4*a**4 + a Expand ((c - 2*c - c)*(-3*c**2 + 2*c**2 - c**2) + 2*c**3 - 3 + 3 + 8*c**3 - 58 + 58)*(0 - 1 + 3). 28*c**3 Expand 5*n**5 + 6*n**5 - 3*n**5 + n**5 + n**3 - n**3 + (5*n**5 - n**5 - 2*n**5)*(2 - 2 - 1). 7*n**5 Expand (9*m - 12*m - 3*m)*(-m + 3*m - 4*m). 12*m**2 Expand (-3*m + 14 - 14)*(2*m**2 - 5*m + 5*m). -6*m**3 Expand (-2*o + 4*o - 3*o)*(-5*o**3 + 4*o**3 + 0*o**3) + 0*o - 8*o**4 + 0*o. -7*o**4 Expand (-5 + 5 + r)*(-3 - 3 + 4) + 0*r + 3*r - 4*r - r + 4*r - r. -r Expand -z**5 + 45*z**5 - 23*z**5 + (-2*z**3 + 0*z + 0*z)*(-z + z - 2*z**2). 25*z**5 Expand (2 - 10 + 7)*(0*y**2 + 2*y**2 - 3*y**2)*(-3 + 1 + 3). y**2 Expand ((-3*q - q + 6*q)*(-1 + 4 - 1) - q + 3 - 3)*((5*q - 3*q + 0*q)*(-6*q**2 + q**2 - 3*q**2) + 0*q**3 - 2*q**3 - q**3). -57*q**4 Expand 3*u - 5 + 5 + (u - 1 + 1)*(0 + 0 - 1) + (-2 + 1 + 3)*(-3 + 3 + u) - 2*u - 4*u + 4*u. 2*u Expand (0*b - 3*b - 2*b)*(0*b**2 + b**2 + b**2 + 2*b**2 - 1 + 1 + 3*b - 2*b**2 - 3*b + (-2*b**2 + 2 - 2)*(6 - 2 - 2) - 2*b**2 + 3 - 3). 20*b**3 Expand (3*s**2 + 6*s**3 - 5*s**2 - 3*s**3)*(5 - 12 + 9). 6*s**3 - 4*s**2 Expand 0*c**4 + 2*c**4 - 4*c**4 + 110*c**2 + 8*c**4 - 51*c**2 - 55*c**2 - 4 + 2*c**4 + 4 + (-c**3 - c**3 + c**3)*(-4 - c + 4). 9*c**4 + 4*c**2 Expand 2*k + k + 0*k + (-2 + 8*k + 2)*(0 + 0 - 2). -13*k Expand 1 - 5*v + 3*v - 3*v + 2*v - 7*v + 3*v + 3*v + 3*v - 5*v + (-2 + 0 + 0)*(3*v - 2*v + v). -10*v + 1 Expand (f + 0*f - 2*f)*(11*f + 3 - 3). -11*f**2 Expand (-x - x + 0*x)*(-2*x**3 - 6*x**2 + 6*x**2) + 0*x**2 - x**4 + 0*x**2 + 2*x**3. 3*x**4 + 2*x**3 Expand (0*u**3 + 4*u**3 - 3*u**3)*(1 + 1 + 0)*(3*u - 3*u + 3*u). 6*u**4 Expand (0*t**3 + 0*t**3 + 3*t**3)*(-2*t**2 - 2*t**2 + 2*t**2)*(1 + 3 - 3). -6*t**5 Expand (0 + 0 - 4*k)*(-4 + 4 + 3*k) - 1 + 2*k**2 + 1. -10*k**2 Expand (-6*k + k + 4*k)*(8*k**2 - 7*k**2 + 5*k**2). -6*k**3 Expand (2*k + 0*k + 0*k)*(0 + 1 - 2) + 4*k - 4*k - 3*k. -5*k Expand (-2*k**2 + 3*k**2 + 3*k**2)*(3 + 0 + 0)*(-3 - k**2 + 3)*(-6 - 5 + 2). 108*k**4 Expand (-1 - 3 + 7)*(2*w**2 + 3*w**3 + 46 - 46 + (w**2 - w**2 + 2*w**2)*(-2*w + 3*w + 0*w)). 15*w**3 + 6*w**2 Expand -5*t - 2 + 2 + 2*t - 4*t + 0*t + (-2 - 1 + 1)*(t + 0 + 0) + 4 - 4 + 2*t + 3*t - t + 0*t. -5*t Expand (-16 + 31 + p - 10)*(5*p**2 - p**2 - 3*p**2). p**3 + 5*p**2 Expand -4*g**2 + 2*g**3 + 4*g**2 + (2*g - 3*g + 0*g)*(-g + g - 2*g**2) + 4*g**3 + 0*g**3 - 2*g**3 + 4*g**3 + g**3 - 3*g**3 + (0 + g**2 + 0)*(-g + 2 - 2). 7*g**3 Expand (30 - 19 - 15)*(2*s + 4 - 4). -8*s Expand (4*b - 3*b - 3*b + (-4 + 5 - 2)*(-b - b - 2*b) + 0 + 0 - b)*(0 + 0 + 3*b). 3*b**2 Expand (f - f - 3*f)*(2 + 0 + 0)*(-2 - 5 + 4)*(4*f + f - 6*f). -18*f**2 Expand (-209*w + 210*w - w**2 - 3*w**2)*(-w**2 - 2*w**2 + 4*w**2). -4*w**4 + w**3 Expand (f**3 - 4*f - 5*f + 8*f)*(6*f - 2 + 2). 6*f**4 - 6*f**2 Expand (6 - 2 + 2)*(-220 + 22*f + 220). 132*f Expand (-5*a**4 + a**4 + 3*a**4)*(3*a + 4*a - 6*a) + 2*a**5 - a**4 + a**4 - 2*a**5 + 2*a**5 + 2*a**5 + 0*a**5 + 884*a**3 - 886*a**3 - 4*a**5. -a**5 - 2*a**3 Expand (0*n + 0*n + 3*n**3)*(n - n + 5*n)*(-5 - 1 + 5). -15*n**4 Expand -5 - 2*v + 5 + (13*v - 14*v + 11*v)*(1 - 4 + 2). -12*v Expand (2*r**2 + r**2 + 4*r**2)*(r**2 + 2 + 16*r - 16*r). 7*r**4 + 14*r**2 Expand (4*q**4 - 3*q**4 + 2*q**4 - 3*q**4 - 2*q**4 + 4*q**4 + (q**2 + q**3 - q**2)*(3*q + q - 2*q) - q**4 + 2*q**4 + q**4)*(-4*q + 4*q - 2*q). -12*q**5 Expand (3*m + 2*m**3 - 3*m)*(0 + 2*m + 0) + (83*m - 83*m + 6*m**2)*(-2*m**2 - 3*m**2 + 7*m**2). 16*m**4 Expand (-1 + n + 1)*(0 + 4 + 1)*(-5 + 5 + 4). 20*n Expand (x - x + x**5)*(-7 + 2 + 3) + (8*x**2 - 14*x**2 - 14*x**2)*(4*x + x - 2*x - 2*x**3) - 4*x**5 + 4*x**5 - x**5. 37*x**5 - 60*x**3 Expand -2*j + 7*j - 3*j - 3*j - 9*j + 3*j + (3 - 2 + 0)*(-2*j + 0*j + j) + 2*j - 6*j + 2*j. -10*j Expand (-11 - 8*h + 11 + (h + 0*h - 2*h)*(3 + 0 - 4))*(-h + 0*h + 0*h). 7*h**2 Expand (5*d - 16*d + 19*d)*(5*d - 5*d - 3*d)*(-3 + 1 + 3). -24*d**2 Expand (-2*y - 1 + 1)*(3 - 2 + 0)*(-3 - 1 + 3). 2*y Expand (-2*n**2 - n**2 + 5*n**2)*(0*n**2 + 4*n**2 - 10*n - 2*n**2). 4*n**4 - 20*n**3 Expand (4*l**2 + 4*l**2 - 7*l**2)*(3*l + l - 3*l) - 3*l - 8*l**3 + 3*l. -7*l**3 Expand (0 - 4 + 6)*(d**2 - 2*d**2 - d**2) + (-2*d**2 - 3*d**2 + 3*d**2)*(4 - 2 + 0). -8*d**2 Expand 2*f**5 - 4*f**5 + f**5 - 3*f**5 + 3*f**5 - 3*f**5 + (3*f**2 + 3*f**2 - 4*f**2)*(-f**3 + f**2 - f**2) - 5*f**4 + 5*f**4 + 2*f**5. -4*f**5 Expand -38*w + 78*w - 43*w + 7 + (0*w + 5*w - 3*w)*(-1 - 1 + 4). w + 7 Expand (-3*w**3 + w**2 + 0*w**2 + 4*w**3)*(-w**2 + w**2 + 9*w**2). 9*w**5 + 9*w**4 Expand 2*n - 2*n - n**2 + (6 + 0 - 4)*(2*n + 3*n**2 - 2*n). 5*n**2 Expand -l - 2*l - l + (-3 + 0 - 5)*(-2 - l + 2). 4*l Expand (-4*l - 3*l**3 + 4*l)*(-3 - 2*l + 1 + 3*l). -3*l**4 + 6*l**3 Expand (2 + 6 - 1)*(t**2 - t**2 + t**3)*(-2*t**2 - t**2 + t**2). -14*t**5 Expand (-11*n + 0*n - n)*(-2*n**2 + 0*n**2 + 0*n**2) - 4*n**3 + n**3 + n**3. 22*n**3 Expand -4*x**3 + 4*x**3 + 2*x**2 + 2*x**3 - 2 + (-2*x**2 + 2*x**2 - 2*x**2)*(7*x - 33 + 33). -12*x**3 + 2*x**2 - 2 Expand (-i - 2*i + 2*i)*(2*i + 2 - 2)*(3*i**2 + 5*i**2 + 2*i**2). -20*i**4 Expand -3*f + f**4 + 3*f + (2*f - 2*f - 2*f**4)*(-6 + 0 + 4). 5*f**4 Expand (-2 + 4 - 13*a**3 + 32*a**3)*(4 - 3 + 1). 38*a**3 + 4 Expand 2 - 2 - 2*j**2 + j**2 - 2*j + 2*j + j**2 + 3*j**2 - 6*j**2 + (6*j - 3*j - 2*j)*(-2*j + 2*j - 2*j) - 5*j**2 + 2*j**2 + 2*j**2. -6*j**2 Expand (2 - 1 + 2)*(-17*f**2 - 7*f**2 + 10*f**2)*(5*f - 3*f - 3*f). 42*f**3 Expand (-2*m + 2*m - 2*m)*(-7*m**3 - 27*m + 25*m + 17*m**3). -20*m**4 + 4*m**2 Expand (4 - 1 - 4)*(-2 + 2 + 2*t**2) - 8*t**2 - 7*t + 7*t. -10*t**2 Expand (-2 - 2*d + 2)*(-2 - 6*d + 4*d + 4*d) + 2*d**2 + 4*d - 4*d. -2*d
{ "pile_set_name": "DM Mathematics" }
1. Let k be -365 - -366 - (0 + 3*-2). Calculate k*a(n) - 3*q(n). 5*n + 2 Let a(x) = -23*x + 52. Let s(t) = -52*t + 104. Determine 9*a(k) - 4*s(k). k + 52 Let n(t) = 11*t - 7. Let z(o) = 5*o - 8. Let m(j) = -6*j + 7. Suppose -55*a = -51*a + 16. Let d(b) = a*z(b) - 6*m(b). What is 5*d(x) - 7*n(x)? 3*x - 1 Let j(h) = 3*h**2 + 3*h - 2. Let w be (-1 + -3 + 16)*-4*8/(-64). Let i(m) = 19*m**2 + 17*m - 11. What is w*i(z) - 34*j(z)? 12*z**2 + 2 Let g(p) = -12942*p - 3. Let x(o) = -12855*o - 5. Give -3*g(u) + 2*x(u). 13116*u - 1 Let r(b) be the third derivative of 11*b**4/24 - 259*b**2. Let s(t) = 23*t. Give -13*r(a) + 6*s(a). -5*a Let s(m) = -112 + 2*m + 342 - 119 - 107. Let i(q) = 1. Determine -6*i(t) + s(t). 2*t - 2 Let m(p) = -p**2 + 10*p + 5. Let b(i) = -i**2 + 9*i + 4. Suppose 4*j = -3*f + 15, -4*j = 4*f + f - 25. Suppose -2*u + j*u - 10 = 0. Calculate u*b(s) + 4*m(s). s**2 - 5*s Let h(f) = -3*f - 4. Let y(v) = 3*v + 12. Let k be y(-8). Let d be 0 + k/((-2)/(-1)). Let z(b) = -4*b - 5. Suppose 3*l - 1 - 14 = 0. What is d*h(u) + l*z(u)? -2*u - 1 Let u(c) = -13*c**3 - 4*c**2 - c + 39. Let p(t) = -18*t**3 - 4*t**2 - 3*t + 38. Determine -2*p(v) + 3*u(v). -3*v**3 - 4*v**2 + 3*v + 41 Suppose 0 = 2*n + w - 23, 459 = 2*n - 3*w + 456. Let v(b) = 19*b**2 + 13*b - 17. Let c(r) = -9*r**2 - 6*r + 8. Give n*c(x) + 4*v(x). -5*x**2 - 2*x + 4 Let y(v) be the first derivative of v**2/2 + v + 23. Let b(g) = 5*g + 6. Let t(o) = -o. Let s(q) = -b(q) - 2*t(q). Give s(u) + 5*y(u). 2*u - 1 Let h(a) = -40*a**3 + 21*a**2 + 10*a - 6. Suppose 207 = 5*k + 2*f + 217, 4 = -2*k - f. Let t(r) = -8*r**3 + 4*r**2 + 2*r - 1. Give k*h(v) + 11*t(v). -8*v**3 + 2*v**2 + 2*v + 1 Let x(q) = 31*q**2 + 6. Let w(y) = -97 - 9 + 1 + 104. Calculate 5*w(p) + x(p). 31*p**2 + 1 Let n be -2 - (-1)/((-2)/12). Let o(f) = -f. Let c(u) = -537*u - 1. Let x(l) = -2419*l - 4. Let z(b) = -18*c(b) + 4*x(b). Give n*o(w) + z(w). -2*w + 2 Let t(b) = -3*b**2 - 3*b + 1. Let l(w) = -2*w**3 + 11*w**2 + 15*w + 11. What is l(a) + 5*t(a)? -2*a**3 - 4*a**2 + 16 Let v(o) = o**2 - o - 1. Let s = 115 - 98. Let q(z) = -s*z - z**2 - 33 + 15 + 16*z**2 - z. Give q(l) - 18*v(l). -3*l**2 Let w(j) = 2*j**2 + 4*j + 3. Let n(a) = -3*a**2 - 5*a - 4. Let u = -153 - -149. Suppose -4*z + 48 = -20*z. What is u*w(l) + z*n(l)? l**2 - l Let u(f) = -741*f - 106. Let k(v) = -741*v - 142. Calculate -3*k(s) + 4*u(s). -741*s + 2 Let n(o) = 2*o**2 - o**2 - 1 - 4*o**3 + 2*o**3 + o**3. Let s(x) = 4*x**3 - 3*x**2 - 2*x + 3. Let r(h) = 2*h**3 - 3*h + 2. Let v be r(0). Give v*s(k) + 6*n(k). 2*k**3 - 4*k Let l(z) = -34*z**2 + 33*z - 26. Let n(k) = 38*k**2 - 34*k + 25. What is -9*l(q) - 8*n(q)? 2*q**2 - 25*q + 34 Let f(h) = 50*h**2 + 55*h + 5. Let z(y) = 38*y**2 + 54*y + 4. Calculate 3*f(s) - 4*z(s). -2*s**2 - 51*s - 1 Let u(l) = 21*l**2 + 13*l - 4. Let o(b) = 2*b**2 - 2*b + 1. Calculate 7*o(q) - u(q). -7*q**2 - 27*q + 11 Let k(c) = -c - 1. Let n = -94885 - -94890. Let h(w) be the second derivative of -w**3 - 3*w**2 + w. Calculate n*k(x) - h(x). x + 1 Let l(h) = -2*h - 2. Let i(x) = x + 2. Let z(t) = 3*i(t) + 2*l(t). Let j(f) = 4*f - 7. Let r = -21357 + 21351. What is r*j(k) - 21*z(k)? -3*k Let c(w) = -3*w**2 - 2. Let i(f) = -f**2 - 1. Let l = -210 - -204. Give l*c(x) + 11*i(x). 7*x**2 + 1 Let m(q) = 23*q**2 + 2*q - 35. Let p(v) = 47*v**2 + 4*v - 65. Give -19*m(g) + 10*p(g). 33*g**2 + 2*g + 15 Let m(w) = 12*w - 2. Let b(u) = u. Let z be ((8/16)/(3/(-2)))/((-1)/(-3)). What is z*m(s) - 3*b(s)? -15*s + 2 Let w(n) = -288*n**2 + 27*n + 1. Let b(l) = -578*l**2 + 45*l + 2. What is 3*b(k) - 5*w(k)? -294*k**2 + 1 Let l(v) = -2412*v**2 + 18*v + 90. Let g(x) = 2*x**2 + x + 5. What is 36*g(o) - 2*l(o)? 4896*o**2 Let h(p) = p - 3. Let q(w) = w**2 - 9*w + 1. Let a be q(0). Let l(s) = a - 2*s + 0*s + s. What is -h(d) - 3*l(d)? 2*d Let s(p) = -16937*p**2 - 10*p - 70. Let i(x) = -143964*x**2 - 84*x - 588. What is 5*i(b) - 42*s(b)? -8466*b**2 Suppose -2*b - 3 = 7. Let i(l) = 21*l + 826 - 808 - l. Let d be i(-1). Let s(u) = 9*u + 2. Let k(m) = -4*m - 1. Calculate b*k(x) + d*s(x). 2*x + 1 Let n(p) = 4*p + 18. Let w(l) = 5*l + 17. Suppose -25*t = 25*t - 28*t - 132. Calculate t*n(x) - 5*w(x). -x + 23 Let w(b) = -b**3 - 3*b**2 + 2*b. Suppose -389*d + 392*d + 37 = -26. Let i(n) = -3*n**3 - 9*n**2 + 7*n. Give d*w(s) + 6*i(s). 3*s**3 + 9*s**2 Let m(x) = -5*x**2 - 24*x - 8. Let w(h) = -h**2 - 7806 + 15599 - 7794. What is m(g) - 6*w(g)? g**2 - 24*g - 2 Let i(r) = 69*r**3 + 4*r + 5. Let k(c) = -34*c**3 - 3*c - 2. Give -2*i(q) - 5*k(q). 32*q**3 + 7*q Let g(z) = -5*z**2 - 4*z - 26. Let w(p) = 2*p**2 + p + 9. Let m(u) = -g(u) - 3*w(u). Let d(v) = 6*v**2 - 7*v + 4. Calculate d(i) + 5*m(i). i**2 - 2*i - 1 Let q(p) = -3*p - 2. Let f(v) = 12*v + 8. Suppose -2*d + 16 = 4*z, -4*d - 1830*z - 18 = -1832*z. Calculate d*f(y) - 9*q(y). 3*y + 2 Let n(x) = -3*x**2 - 6*x + 8. Let g(c) be the first derivative of -11/2*c**2 + 15*c - 2*c**3 + 83. Determine 6*g(t) - 11*n(t). -3*t**2 + 2 Let z(u) = 10*u - 9. Let d(m) = -3*m**2 + 2*m + 1. Let s be d(-1). Let o(l) = l - 1. Suppose 4*c = 4*y + 107 + 57, 0 = 4*c - y - 149. Give c*o(w) + s*z(w). -4*w Suppose -216*a + 180 = -252*a. Let r(g) = -8*g - 2. Suppose 11 + 13 = -4*v. Let u(w) = 9*w + 2. Give a*u(l) + v*r(l). 3*l + 2 Let v(n) = -n**2 - n. Let q(s) = 3*s**3 + s**2 + s. Let m be q(-1). Let l(u) = -u - 58963*u**2 + 117927*u**2 - 58967*u**2. What is m*v(y) + 3*l(y)? -6*y**2 Let c(r) = r. Let u = 19 + -17. Suppose u*n - 3 = -n. Let x(g) be the third derivative of -g**3/6 - 3*g**2 + 10. Determine n*x(s) - 3*c(s). -3*s - 1 Let g(j) = 11*j**2 - 1. Suppose 7*t = 13*t - 12. Let r(w) = -7*w**2 + 33 - 32 + w**t. Give -3*g(d) - 5*r(d). -3*d**2 - 2 Let z(p) = -123*p**2 - 20*p + 7. Let c(j) = -248*j**2 - 35*j + 14. Determine -4*c(b) + 7*z(b). 131*b**2 - 7 Let a(y) be the second derivative of y**3/3 + 10*y**2 + 89*y + 13. Let i(t) be the second derivative of 2*t**2 - 2*t. Calculate -4*a(u) + 20*i(u). -8*u Let x(n) = 7197824*n**2 + 9549*n - 3183. Let m(h) = 15831*h**2 + 21*h - 7. Determine 3183*m(p) - 7*x(p). 5305*p**2 Let x(i) = -5*i**2 + 4*i - 10. Let c(r) = -11*r**2 + 13*r - 7*r - 20 - 3*r + 6*r. What is -2*c(o) + 5*x(o)? -3*o**2 + 2*o - 10 Suppose -4*h = -4*g - 44, 2*g - 5*h = -53 + 4. Let r(i) = 16*i - 24. Let q(u) = 3*u - 5. Give g*r(n) + 11*q(n). n - 7 Let u(s) = s - 153. Let c(m) = -2*m + 146. Give -6*c(t) - 5*u(t). 7*t - 111 Let o(p) = -p**2 - p + 3. Let x(c) = 441*c**2 + 6*c - 19. What is -6*o(i) - x(i)? -435*i**2 + 1 Let c(p) = 3983*p**2 - 4*p - 43. Let l(t) = 1990*t**2 - 2*t - 19. Calculate -4*c(u) + 9*l(u). 1978*u**2 - 2*u + 1 Let r(q) = -q**3 + q**2 + q + 1. Let j(m) = 18*m**3 - 4*m**2 - 4*m - 3. Suppose -k + 17 = 5*g, 5*g + 13 = k + 36. Give g*r(f) + j(f). 14*f**3 + 1 Let t(f) = f**2 - f + 1. Let h(p) = -91 - p - 103 - 91 + 5*p**3 + p**2 + 0*p**2 + 286. What is -2*h(l) + 2*t(l)? -10*l**3 Let o be (0 - 2) + (-18 - -21). Let j(m) = -m**3 - 21*m**2 - 2*m - 3. Let w be j(0). Let a(k) = 1. Let g(h) = -3*h**2 + 3. What is o*g(l) + w*a(l)? -3*l**2 Let w(i) = -12*i - 131. Let o(s) = -46*s - 392. What is -2*o(d) + 7*w(d)? 8*d - 133 Let o(g) = 2*g - 3. Let y(f) = -48*f + 10 + 10*f + 11*f + 19*f. Let x(i) = 9*i - 11. Let b(j) = 5*x(j) + 6*y(j). Suppose u = -0 - 5. Determine u*o(h) - 3*b(h). -h Let c be ((1 + -2)*-2)/((-6)/(-222)). Suppose c*r + 182 = 61*r. Let z(a) = -8*a**2 - 3*a + 1. Let i(d) = 40*d**2 + 14*d - 4. Give r*z(h) - 3*i(h). -8*h**2 - 2 Let b(v) = 5311*v**2 + 282*v + 282. Let q(j) = 94*j**2 + 5*j + 5. Let m = 6062 - 6067. What is m*b(g) + 282*q(g)? -47*g**2 Suppose -10 + 3 = -7*r. Suppose -3 = 3*c - 18. Let q(y) = -1. Let k(j) be the first derivative of -4*j**3/3 + 5*j - 283. Give c*q(v) + r*k(v). -4*v**2 Let c be (34 - 33) + (-1 - -2 - 4). Let h be ((-1)/c)/(4/40). Let f(d) = 5*d - 2*d + 2*d - 9*d - h. Let l(i) = -i**2 - 3*i - 4. Calculate -2*f(z) + 3*l(z). -3*z**2 - z - 2 Let h(u) = 16*u**2 + 22*u + 1781. Let o(l) = 9*l**2 + 13*l + 891. Give 3*h(j) - 5*o(j). 3*j**2 + j + 888 Let j(p) = -p**2 + 10*p - 7. Suppose 4*r = -x - 26 + 1, 4*x - 4*r = 0. Let c(b) = b**2 - 15*b + 10. Determine x*c(v) - 7*j(v). 2*v**2 + 5*v - 1 Let h(t) = 460*t**2 + 12*t + 16. Let r(w) = -460*w**2 - 10*w - 14. Give -5*h(a) - 6*r(a). 460*a**2 + 4 Let q(p) = 62*p - 230*p +
{ "pile_set_name": "DM Mathematics" }
-8) and 24? 24 Find the common denominator of 22/(-88) - 167*(-5)/20 and 31/402. 402 Let q(z) = z**3 - 11*z**2 + 12*z - 5. Let f be q(10). Let r = 19 - f. Calculate the least common multiple of 60 and r. 60 Let u(z) = z**3 + 12*z**2 - 26*z + 30. Suppose -25*q = -33*q - 112. What is the smallest common multiple of u(q) and 10? 10 Let s = -172266/231605 + -7/4211. What is the common denominator of s and -103/165? 165 Let p = 2691/40 - 66. Calculate the common denominator of (-51)/(-4) + -7 + 4 and p. 40 Let k be (-100)/(-485)*(-2)/(-108). Let n = -254143/26190 + k. Find the common denominator of -67/16 and n. 80 Suppose 3*j = -2*n + 2*j + 3, 0 = n + 2*j. Let g(f) = f**2 - n + 5 + 4*f**2 - 3*f + 8*f + f**3. Calculate the smallest common multiple of g(-3) and 18. 18 Let h = 52334 - 7326707/140. Find the common denominator of (-32038)/(-249)*(-1)/(-12) - 3 and h. 1260 Let k = 179 - 163. Calculate the smallest common multiple of k and 1296. 1296 Let d be -2 + (-1)/(-3) + (-22814)/(-13617). Let b = 1108/5607 + d. Calculate the common denominator of 67/24 and b. 504 Let a(t) = 2*t**3 + 18*t**2 - 30*t - 52. What is the smallest common multiple of a(-10) and 512? 1536 Suppose -4*v + 204 = 249*h - 245*h, 2*h - 2*v = 114. Calculate the least common multiple of h and 312. 2808 Let s(k) = 2*k**3 + 4*k**2 - 10. Let h be s(4). Let t = 149 - 319/2. Calculate the common denominator of t and 1*2 - 143/h. 14 Suppose -126 = -26*y + 290. Calculate the least common multiple of y and 8. 16 Let k(f) be the third derivative of -f**4/6 + f**3/3 - 17*f**2. Let q be 1*6*(-2)/3. Calculate the least common multiple of k(q) and 18. 18 Let p = 2676 - 32041/12. Let r be 6/(-12)*(-46)/4. Let t = -52/5 + r. Find the common denominator of p and t. 60 Find the common denominator of (39/(-52))/(2 - (-951)/(-498)) and 93/8. 40 Suppose 0*m + 4*m - 24 = 0. What is the common denominator of 3/28 and m/15 + 678/80? 56 Let g = -27 + -11. Let p = 47 + g. What is the least common multiple of p and 7? 63 Let r(x) = 14*x - 3. Let m(u) = -27*u + 6. Let w(j) = 3*m(j) + 5*r(j). What is the common denominator of w(2) and 39/10? 10 Let t(w) = w + 5. Let v be t(-5). Let a(c) = -c**2 + c + 1016. Let b be a(v). Let r = b + -7055/7. Calculate the common denominator of r and 26/5. 35 Let j be (-11528)/(-16) - 9/6. Let z = j - 6418/9. Let f = 481 + -1418/3. Find the common denominator of f and z. 9 Calculate the common denominator of (-2581)/1305 + 0/2 and -67/72. 360 Let f(g) = 2*g**3 - 11*g**2 - 13*g - 3. Let m be f(-9). Calculate the common denominator of ((-2)/(-4))/((-180)/m) and 85/24. 24 Let y = 8012 - 47951/6. Find the common denominator of 49/10 + (-3)/(-6) and y. 30 Suppose -h + 0*h + 2*h = 0. Suppose h = -3*z + 5*l + 56, 0*z + 5*z - 44 = -4*l. Calculate the smallest common multiple of z and 3. 12 Suppose -5*q - 12 = -2*z - 2*q, -q = 2*z + 4. Suppose -l + 19 - 5 = z. Calculate the smallest common multiple of 12 and l. 84 Suppose -3*q + 5*r = 13, 0*q - q = -r + 3. Let k = -22 - -42. What is the lowest common multiple of k and (3 - -1)*27/(-6)*q? 180 Let n = 9563/5 - 487706/255. What is the common denominator of -37/136 and n? 2040 Let l be (-87274)/3094 - (-18)/(-63). Let a = 3/442 - l. Calculate the common denominator of 21/8 and a. 8 Let p be (33/15 + -3)/(2/150). Let z = 64 + p. Suppose 2*q - 8 = -3*c, 4*q + 4*c - 16 = 5*c. What is the least common multiple of q and z? 4 Let t be (-114)/(-18) + 1/(-3). Let j be t/(-14) + 48485/30954. Let r = j - 2/1407. Calculate the common denominator of r and -5/22. 22 Let l be 4 + -8 + 79 + 0. Let x be l/(-10)*8/(-6). Let w = x + 8. What is the smallest common multiple of w and 6? 18 Suppose 50 = -3*h + 8*h. Calculate the lowest common multiple of h and 72. 360 Let z(s) = -19*s - 45. What is the smallest common multiple of z(-5) and 40? 200 Let v be 5*(3 + (-39)/15). Suppose 0 = -4*q + 3*m - 2, 3 - 1 = -v*q + m. Calculate the common denominator of 32/7 and q/(-7) - (-96)/105. 35 What is the lowest common multiple of (-4 + 24)*-2*1/(-8) and 50? 50 Let d = 31 + -46. Let q = d + 12. Find the common denominator of q - ((-62)/(-16) + -1) and 89/18. 72 Let s be (-4)/14 - 871742079/19803. Let z = s + 44021. Let v = -10277/15088 - z. What is the common denominator of v and -45/16? 16 Let d = 278 - 150. Suppose -25*x = -9*x - d. Calculate the least common multiple of x and 44. 88 Suppose 0 = -0*m - 2*m + 8, 4*m - 121 = -5*z. Suppose c - 105 = -2*c. Let u = c - z. Calculate the least common multiple of u and 16. 112 Let q be 16 - (-5 + 5/5). Calculate the lowest common multiple of 9 and 102/1*q/30. 612 Let n(s) = 14*s**3 - 3*s**2 + s + 1. Let w be n(1). Suppose -w*b = -23 - 94. What is the least common multiple of b and 1? 9 Let n = 12 + 7. Suppose -6*x - 48 = -x + 2*v, -v = 2*x + n. Let d = 1 - x. What is the smallest common multiple of 6 and d? 66 Suppose -v + 83 + 9 = 4*o, 2*v - 5*o = 197. What is the smallest common multiple of 20 and v? 480 Let l = 38 - 40. Suppose 2*z - 36 = -z. What is the lowest common multiple of z and 1/l + 185/10? 36 What is the common denominator of 10/75*(6 - (-10985)/(-1260)) and 73/2? 378 Suppose 0 = -1195*h + 1191*h + 36. Calculate the least common multiple of ((-12)/(-10))/((-1)/(-5)) and h. 18 Let c = 258 + -255. What is the smallest common multiple of c and 3? 3 Find the common denominator of (19 - 13580/480) + 3 + 0 and 1/19. 456 Let f = 19 - 19. Suppose f = -5*q - 5*o + 30, -3*q + 3*o = q - 10. Calculate the least common multiple of q and 83. 332 Let m = -8627 + 69111/8. Find the common denominator of 73/236 and m. 472 Let z(w) = -w**2 + 3*w - 8. Let f be z(3). Find the common denominator of ((-908)/42)/(-1) - f/(-28) and -53/12. 12 What is the least common multiple of 10 and (385/(-22))/(2/(-4))? 70 Let i(w) = -10*w**2 + 5*w + 3. Let f be i(-1). Calculate the least common multiple of 27 and (18/f)/((-1)/2). 27 Suppose 5*v = 8*v - 24. What is the least common multiple of v and 22? 88 Suppose -2*b + 8 = 0, -2*j - 16*b = -14*b - 254. What is the least common multiple of 9 and j? 369 Suppose d - 6*d = -2*o + 2417, -3*d = 5*o - 6027. Find the common denominator of o/(-54)*3/(-8) and -79/30. 120 Let w(h) = h + 11. Let x be w(-8). Let d = 1776 + -8838/5. Find the common denominator of (x/66)/(2/40) and d. 55 Let l = 46 - 42. Suppose l*b = 2*b + 5*r + 8, 5*r - 6 = b. Calculate the least common multiple of 16 and b. 112 Suppose 760 = 4*c - 3*x, 577 = -2*c + 5*c - 4*x. What is the least common multiple of c and 85? 935 Let h(f) = 5*f + 51. What is the least common multiple of 160 and h(-7)? 160 What is the smallest common multiple of (-1 - -57*(-30)/9)/(-1) and 3? 573 Let b be 1/(-2) + (-174149982)/23910. Let h = b + -1305/797. Let f = 7296 + h. Calculate the common denominator of -61/22 and f. 110 Let p be (-17844)/(-1064)*7456/14796. Let s = p - 1128/959. Let x = -39/19 + s. Calculate the common denominator of 49/4 and x. 36 Let b(j) = 2*j**3 - 6*j**2 + 2*j - 3. Let z be b(3). Calculate the common denominator of z/(1134/(-1905)) + (-9)/(-21) and 70/9. 18 Let w = 47221/6 - 7888. Let d = -79846595271/11279560 + -3/1409945. Let i = d - -7068. Find the common denominator of i and w. 24 Let z be (-2)/((-21)/(-9) + -3). Let g be z/(-12) - 29/(-4). Let t = g - -2. Calculate the smallest common multiple of t and 3. 9 Let l be 4/(-10) + (-535)/(-25). Find the common denominator of -115/18 and ((-9)/(-42))/((-3)/(l/(-2))). 36 Let h = -262/255 + 27/34. Find the common denominator of -68/9 and h. 90 Let u(a) = -3*a + 10. Let p be u(3). Suppose -5*m - 3 + 18 = 0. Calculate the common denominator of -103/6 and p - (m + (-252)/16). 12 Suppose 5*f = -0*f + 3*s + 492, 5*f + 4*s - 499 = 0. Calculate the common denominator of (-36)/(-15)*15/20 and (-2)/9 - (-184)/f. 55 Let f be 1105625/(-3402180) - (-2)/8. Let l = -29/369 - f. Let j = l - 20421/4610. Calculate the common denominator of -7/18 and j. 90 Find the common denominator of (-4)/14 - 4323/(-308) and -109/1164. 1164 Calculate the common denominator of 108/80 + (-7 - -2) and 155/234. 2340 Suppose -195 = -3*q - z + 106, 0 = -3*z + 12. Suppose g = 270 - q. Let u = 506/3 - g. Find the common denominator of u and -23/4. 12 Suppose 21 = 3*z + 3*f, 2 = 4*f - 10. What is the least common multiple o
{ "pile_set_name": "DM Mathematics" }
*k**7/5040 + k**5/20 - 4*k**2. Let q(x) be the third derivative of b(x). Give z(q(f)). 242*f**2 Let o(q) be the third derivative of 1/60*q**5 + 0*q**3 + 0 - 6*q**2 + 0*q**4 + 0*q. Let g(n) = -2*n**2. What is o(g(u))? 4*u**4 Let k(a) = 10*a**2. Let b(u) = -u + 3. Let c(y) = -2. Let n(l) = 2*b(l) + 3*c(l). Give k(n(p)). 40*p**2 Let b(q) = -44*q**2. Let u(y) = -10*y. What is u(b(i))? 440*i**2 Suppose 8 = 3*g + u, -2*u - 3*u + 14 = 2*g. Let f(j) = 2*j - 3. Let p(l) = 2 - 28*l + 1 + 30*l - 5. Let b(i) = g*f(i) - 3*p(i). Let a(y) = 5*y**2. Give b(a(c)). -10*c**2 Let s(f) = 2*f. Let p(t) = 302*t**2. Determine s(p(d)). 604*d**2 Let s(p) = -4*p**2. Let a(b) = 3 + 2*b - 8 + 5. Calculate s(a(y)). -16*y**2 Suppose -u + 7 = d - 2*d, 3*u + 4*d = -14. Suppose 0 = -0*k + k - u. Let c(n) = 6*n - 5*n + k*n. Let t(l) = -l. Give c(t(w)). -3*w Let a(h) = -1 + 0 + 1 - 28*h. Let u(j) = 2*j**2. Determine a(u(f)). -56*f**2 Let h(y) = -y**2. Let o(r) = 0*r + 16*r - 6*r. Calculate o(h(t)). -10*t**2 Let p(n) = 71*n. Let c(q) = -10*q. What is c(p(v))? -710*v Let w(c) = 21*c**2. Let b(l) = 39*l. What is b(w(a))? 819*a**2 Let r(v) = 2 - 2 + 21*v**2 - 24*v**2. Let b(p) = -6*p**2 + 5. Let i(u) = 5*u**2 - 4. Suppose 5 = h - 2*h. Let g(s) = h*i(s) - 4*b(s). What is r(g(a))? -3*a**4 Let n(o) = o**2 + 4*o + 3. Let j be n(-3). Let q(z) = 0 - 4*z**2 + 0 + j. Let p(l) = l**2. Determine p(q(d)). 16*d**4 Let x(a) = -3*a. Let s(h) = 253*h + 2. Give s(x(u)). -759*u + 2 Let g(r) = -49*r. Let w(a) = 9*a**2. Determine g(w(z)). -441*z**2 Let s(g) = -10*g**2 - 6. Let h(t) = -21*t**2 - 13. Let l(q) = -6*h(q) + 13*s(q). Let y(i) = 4*i**2. Calculate l(y(n)). -64*n**4 Let k(r) = -9*r. Let g(c) be the second derivative of c**6/360 - c**4/12 - 2*c. Let n(p) be the third derivative of g(p). Give n(k(s)). -18*s Let w(v) = v. Let u(q) be the third derivative of 0*q + 1/24*q**4 - 4*q**2 + 0 + 0*q**3. Give u(w(b)). b Let t(n) be the third derivative of 0*n + 0*n**3 + 0 + 6*n**2 + 1/24*n**4. Let c(r) = -14*r. Determine t(c(u)). -14*u Let y(h) = -78*h**2 - h + 81*h**2 + h. Let t(v) = 6*v**2. What is y(t(z))? 108*z**4 Let i(m) = -13*m + 11. Let u(p) = -7*p + 6. Let r(w) = 6*i(w) - 11*u(w). Let x(g) = -g - 2. Let h(a) = 2*a + 8. Let t(q) = h(q) + 4*x(q). Determine r(t(k)). 2*k Let i(q) = q. Let z be (0 + 0)/(1 + 2). Let r(h) be the second derivative of z*h**2 + 0 + 0*h**3 + 4*h + 1/12*h**4. Calculate i(r(m)). m**2 Let w(z) = -3*z. Let u(b) = -2*b**2 + b + 1. Let y(r) = r**2 - r - 1. Let g(f) = 2*u(f) + 2*y(f). Calculate w(g(j)). 6*j**2 Let w(a) = 2*a. Let q(m) = 12*m - 5. Let c(v) = 6*v - 2. Let i(n) = -10*c(n) + 4*q(n). Let d(o) = o. Let s(x) = 22*d(x) + 2*i(x). Determine s(w(r)). -4*r Let v(l) = 5*l. Let y(b) = -2*b**2 - 10*b. Let o(z) = z. Let n(q) = 20*o(q) + 2*y(q). Calculate n(v(d)). -100*d**2 Let p(x) = 3*x**2 - 66*x - 3. Let l(z) = 3*z. What is p(l(t))? 27*t**2 - 198*t - 3 Let g(h) = -2*h**2. Let f(d) = 3*d. What is g(f(a))? -18*a**2 Let p(u) = 2*u**2 - 3*u - 3. Let l(s) = s**2 - 4*s - 4. Let v(a) = 3*l(a) - 4*p(a). Let r(t) = -2*t. Determine v(r(y)). -20*y**2 Let q(j) = -j - 31. Let k(m) = 18*m**2. What is q(k(p))? -18*p**2 - 31 Let i(c) = c**2. Let y = -5 - -7. Suppose -5*h - 2*f - f = -32, y*f = h + 4. Let z(l) = -3*l + h*l + 0*l. What is z(i(q))? q**2 Let c(r) = -r**3 + 5*r**2 - r - 1. Let q be c(5). Let y be 9/(-6)*28/q. Let p(l) = -10*l + 2*l + y*l. Let d(z) = 9*z. Determine p(d(w)). -9*w Let c(k) = k. Let n(a) = -4*a. Let q(t) = -t. Let h(x) = -4*n(x) + 4*q(x). Give h(c(j)). 12*j Let z(s) = 2*s**2. Let y(l) be the third derivative of -l**6/240 - 5*l**4/24 + 2*l**2. Let n(d) be the second derivative of y(d). Give z(n(k)). 18*k**2 Let x(n) = 7*n. Let t(l) be the third derivative of l**5/12 - 19*l**2. Determine t(x(u)). 245*u**2 Let b(p) = -p. Let y(u) be the first derivative of 4*u**3/3 + 12. Determine b(y(a)). -4*a**2 Let o(j) = 4*j. Suppose g - 4*g = -9, 3*n - 30 = -2*g. Let c(v) = 21*v**2 - n*v**2 - 11*v**2. Give o(c(m)). 8*m**2 Let h(d) = 3*d - 2. Let v(a) = a - 1. Let c(k) = -h(k) + 2*v(k). Let b(j) = -9*j. Calculate b(c(l)). 9*l Let z(d) = -6*d. Let o(j) = 2*j**2 - 227*j. What is z(o(t))? -12*t**2 + 1362*t Let h(q) = q**2 - 4*q - 4. Let x(l) be the second derivative of -l**4/12 + 5*l**3/6 + 5*l**2/2 + l. Let r(c) = 5*h(c) + 4*x(c). Let m(n) = n. Determine r(m(z)). z**2 Let h(t) = -2*t**2. Let c(q) = 401*q - 2. Determine c(h(z)). -802*z**2 - 2 Let w(n) = -4. Let v(h) = h + 11. Let a(p) = 4*v(p) + 11*w(p). Let k(m) = -16*m. Calculate a(k(f)). -64*f Let r(i) = 11*i**2. Let o(h) = -5 - 5 + 2*h + 10. Give r(o(q)). 44*q**2 Let o(j) = -2*j. Let g(m) = 3550*m**2. Calculate g(o(l)). 14200*l**2 Let c(q) = 3 + 146*q**2 - 3 - 144*q**2. Let y(b) = 3*b**2. What is y(c(w))? 12*w**4 Let l(m) = 2*m. Let j(i) = 374*i**2. Determine l(j(p)). 748*p**2 Let i(d) = 3*d. Let l(f) be the second derivative of 0 + 0*f**2 + 0*f**3 - 1/12*f**4 + 4*f. Determine i(l(v)). -3*v**2 Let k(w) = -w. Let d(t) = t - 6. Let y be d(6). Let q(h) = y + 5*h + 0. Calculate k(q(a)). -5*a Let n(q) = 4*q**2 + 8. Let y(r) = 392*r. Give y(n(t)). 1568*t**2 + 3136 Let a(k) = 0*k + k + 0*k. Let c = -8 + 8. Let p(d) = 2*d + c*d + 0*d. Give p(a(m)). 2*m Let o(b) = b. Let k(d) be the first derivative of -26*d**3/3 + 62. Give k(o(r)). -26*r**2 Let x(j) be the first derivative of -4*j**2 - 4. Let f(z) = 2*z. What is x(f(k))? -16*k Let d(k) = k. Let w be d(2). Let x(c) = -c**2 + 3*c**w + 2*c**2. Let j(f) = 1 - f - 1. Give j(x(v)). -4*v**2 Let y(r) = 67*r**2. Let j(f) = -3*f**2. Determine y(j(b)). 603*b**4 Let a(x) be the first derivative of -x**2/2 - 5. Let y(b) = -8*b**2. Determine a(y(n)). 8*n**2 Let y(m) = m**2 - 3*m - 2. Let x be y(4). Let r(c) = 1 - 1 + x*c. Let s(q) = -q**2 - q - 1. Let u(k) = k + 1. Let z(g) = -2*s(g) - 2*u(g). Determine r(z(h)). 4*h**2 Let y(d) = 4*d**2. Let u(q) = 15*q + 7. Let o(z) = -7*z - 3. Let n(g) = -7*o(g) - 3*u(g). What is y(n(v))? 64*v**2 Let y(d) = -5*d - 13. Let r(x) = 5*x. Give r(y(f)). -25*f - 65 Let y(o) = -2*o + 3. Let b(n) = 3*n - 4. Let l(u) = 3*b(u) + 4*y(u). Let q(k) = 5*k**2. Determine q(l(c)). 5*c**2 Let a(v) = v**2 + 2*v - 1. Let z(y) = -4*y**2 - 10*y + 5. Let i(l) = -5*a(l) - z(l). Let j(n) = 28*n - 2. Calculate i(j(d)). -784*d**2 + 112*d - 4 Let r(j) = 3*j**2. Let f(c) be the second derivative of c**4/3 - 31*c. Calculate f(r(m)). 36*m**4 Let j(i) = i**2. Suppose 2*a + 0*a + 2*w + 6 = 0, 15 = 3*a - 5*w. Let s(b) = 0*b + a*b - b - b. Determine s(j(g)). -2*g**2 Let j(c) = -2*c**2 - c**2 + 8*c**2. Let q(i) = -861 + 861 + i. Give q(j(o)). 5*o**2 Let g(x) = -3*x**2. Let q(d) = 54*d - 1. Give q(g(l)). -162*l**2 - 1 Let i = 16 + -10. Let g = -2 + i. Let a(z) = 0*z**2 + 2*z**2 + 0*z**2 + g*z**2. Let l(m) = m. Give l(a(d)). 6*d**2 Let u(k) = 26*k**2. Let s(n) = 5*n. Determine s(u(w)). 130*w**2 Let p(m) = -3*m**2 - 7 + 2 - 4. Let z(n) = n**2 + 2. Let f(q) = -2*p(q) - 9*z(q). Let j(s) = s. Calculate j(f(l)). -3*l**2 Let u(q) = 7*q**2. Let b(v) = -4*v**2 + 12. Give u(b(g)). 112*g**4 - 672*g**2 + 1008 Let j(u) be the third derivative of 7*u**4/12 + 6*u**2. Let n(q) = -q. Determine n(j(a)). -14*a Let t(s) = s**3 + 11*s**2 + 10*s + 5. Let m be t(-10). Let k(d) = m*d + 3*d - 6*d. Let y(a) be the second derivative of -a**3/6 + a. Give y(k(g)). -2*g Suppose z = 2*z - 2. Let y(m) = m - 2. Let h be y(z). Let j(r) = h - 4*r + 0. Let a(w) = 2*w. Calculate j(a(i)). -8*i Let b(s) = 7*s. Let l(k) be the third derivative of -k**4/12 - 7*k**2. What is b(l(i))? -14*i Let p(w) = 2*w. Suppose 5*y - 16 = -1. Suppose c + 0*c + 2 = 3*u, -u + y = 2*c. Let d(r) = -u - r + 3*r + 1. Calculate d(p(g)). 4*g Let f(h) = -4*h. Let u(j) be the second derivative of j**4/4 + 4*j. Give f(u(p)). -12*p**2 Let m(q) = 192*q. Let s(j) = j**2. Give m(s(z)). 192*z**2 Let d(h) = -h**2. Suppose 2*b + n - 24 = 6*n, 5*n + 18 = -b. Let u(m) = m - b*m - m. Calculate u(d(q)). 2*q**2 Let d(k) = -k**2 - k**2 + k**2. Let q(b) be the first derivative of 3/2*b**2 + 0*b + 5. What is d(q(o))? -9*o**2 Let d(r) = -25*r**2. Let y(s) = -s**2. Determine d(y(z)). -25*z**4 Suppose x + 3 = -1. Let d(y) = 4*y - 3*y - 2*y. Let m(p) = -5*p. Let h(l) = x*d(l) + 2*m(l). Let n(q) = 2*q. Give n(h(z)). -12*z Let k(r) be the third derivative of -r**5/60 + r**2. Let m(y) = -9*
{ "pile_set_name": "DM Mathematics" }
a, f, n? a Let z = -5.8 + 5.4. Let j be 2 - 3/(-12)*-6. Let i = -0.1 - 0.1. What is the nearest to j in z, i, -4? i Let t = 6.61 - -0.29. Let l = -7 + t. Let s = l + -0.4. Which is the nearest to 0.1? (a) s (b) 2/5 (c) 0.5 b Let x = -78 - -78.1. Which is the closest to x? (a) 2/5 (b) 0.2 (c) -4 b Let l = -225 - -1572/7. What is the nearest to 0.1 in 3/5, l, 0? 0 Let v = -20 - -17. Let d = v - -2.5. Which is the closest to -1? (a) -5 (b) -2 (c) d c Let y = -30.04 - -29.04. Which is the closest to 2/5? (a) 0.3 (b) 38 (c) 2 (d) y a Let x be (-92)/(-598) - 23/65. Which is the closest to -3/4? (a) -0.3 (b) x (c) 3 a Let j = -276/17 + 278/17. Which is the closest to 1? (a) j (b) 0.3 (c) -3 (d) 10 b Let j(l) = -l**3 + 18*l**2 - 45*l + 2. Let f be j(15). What is the closest to 0.1 in f, 4, -5, -0.05? -0.05 Let z = -0.5 - -0.1. Let k = -0.229 + 0.529. Which is the nearest to -0.1? (a) z (b) 5 (c) k a Let j = -5.2 - -2.4. Let k = -0.8 - j. Let y = 23 - 19. Which is the nearest to 0? (a) k (b) y (c) -1/8 c Let s = 10401/10 + -1040. Which is the nearest to -1? (a) -4/3 (b) s (c) 5 (d) -0.5 a Let j = -2.6 - -0.6. Let v = 79/36 - 22/9. What is the closest to j in v, 5, -2? -2 Let h = 11983/15 - 799. What is the closest to -0.1 in -2/11, -5, h? h Suppose 53*o + 180 = 59*o. What is the nearest to o in -3/5, 2, -2/7? 2 Let t = 205 - 205.5. What is the nearest to 0.1 in -1, t, 1, 3? t Let q = -8.89 - -8.89. Which is the nearest to q? (a) 2/5 (b) -4/15 (c) 2 (d) -4 b Let i(p) = -p**2 - 3*p - 1. Let j be i(-3). Let g = 34/27 + -16/27. What is the closest to j in -1, g, -1/9? -1 Let f = 6.05 + -7.05. Let v = -0.3 + 0.2. Which is the closest to v? (a) -5 (b) f (c) 0.3 c Suppose 0 = -3*u + 82 + 8. Let f = u - 27. Let z = 5.92 - -0.08. Which is the closest to z? (a) f (b) 2/5 (c) 0.1 a Suppose 0 = 6*f - 4*f - 2. What is the nearest to 0.4 in -3, 0.3, f, -4/7? 0.3 Let w = 2516.3 - 2516. Let v = 0.5 + -0.3. What is the nearest to v in 1/3, w, 4? w Let q = 8 - -2. Let d = 110 - 100. Let b = d - q. What is the closest to b in 0.5, 2/5, 4? 2/5 Let m = -5 + 4. Let b(w) = w**3 + 8*w**2 + 8*w + 3. Let f be b(-7). Let d = 1506.5 - 1507. What is the nearest to m in 1/4, d, f? d Let l = -0.4 + 0.3. Let f = 21.088 - 27.088. Let u(t) = -t**3 - 6*t**2 + 2*t + 9. Let a be u(-6). What is the closest to l in 0.5, f, a? 0.5 Let n = 0.2 - 0.22. Let l = 0.52 + n. Let m = 0 + l. Which is the nearest to -2/5? (a) -3 (b) 0.2 (c) m b Let s = -0.4 + 0.4. Let l = -32 - -28. Let m = -10.4 - -10. Which is the closest to s? (a) m (b) l (c) 3 a Let m = -27.74 + 27.8. What is the closest to -1 in 0, -0.2, m? -0.2 Let n be (-4)/(-14) - (-33)/7. Suppose 0 = -4*d + p - 2 + 12, 12 = n*d - p. Let r = -0.516 - -4.516. Which is the nearest to d? (a) 2 (b) r (c) 2/5 a Let y = 106/11 + -976/99. Which is the nearest to -0.1? (a) 0.09 (b) 1/4 (c) y (d) -0.5 c Let n = 6.4 + -6. Suppose 40*k - 6*k + 1246 = -55*k. What is the closest to -0.2 in k, n, -1/3? -1/3 Let a be 1 + 3 + (-52)/16. Let z = 51/2 - 24. Let s = -30 + 33. What is the nearest to 1/2 in s, a, z? a Let n be (51/(-102))/(2/4). Let y(d) = d**2 + 4*d - 8. Let k be y(-6). Which is the nearest to -0.7? (a) -0.3 (b) k (c) n c Suppose 4*s - 17 = h, -3*s + 2*h = -s - 4. Let m = 572 + -572. Which is the nearest to m? (a) s (b) 2/7 (c) 3 b Let i be 8/14*(-3 - 1/2). What is the closest to i in 4/7, -1, 24? -1 Let h = 790.4 - 791. What is the closest to h in 1/4, 0, 2/5, 0.3? 0 Let k = -3.1 + 23.1. Let j = k + -49. Let t = j - -29. Which is the closest to t? (a) -2/11 (b) 0 (c) -0.2 b Suppose 25 = -6*a + 11*a. What is the nearest to 0.14 in 3, -1/2, a, 2? -1/2 Let k = 2 - 2. Suppose -21*s = 9*s - 30. Which is the nearest to s? (a) 2/105 (b) k (c) -3 a Let t = 8 - 9. Let i be 396/(-66) + 2 + -1. Which is the nearest to t? (a) i (b) -5/3 (c) -2 b Let j be (-6)/(3/(-4)*2). Let r = -0.5 - -0.6. Let p = -45 + 44.8. What is the nearest to r in 3, p, j? p Let h = 1246 + -1245.5. Which is the closest to 3? (a) 1/6 (b) -0.2 (c) -1/8 (d) h d Let d = -78.1 - 43.5. Let j = -122 - d. What is the closest to -0.1 in 3, -1/6, j? -1/6 Let l(t) = 361*t**3 + 2*t**2 - 1. Let j be l(-1). Let n be 2 + (-5)/(j/(-143)). Let w = n - -23/72. What is the nearest to 0 in w, 5, -1/4? -1/4 Let j be (-4)/(-5) - 189/105. Let b = -4.11 + 0.11. What is the closest to j in -1, b, 4? -1 Let i(j) = j**3 - 4*j**2 - 2*j + 6. Let r be i(4). Let l = -4224 - -4228. Which is the closest to r? (a) 11 (b) 1/11 (c) l b Let t = -940 - -943. Let s = -5.4 + 1.2. What is the closest to 0 in 4/7, t, s? 4/7 Let n = 3 + -2. Let i = 0.7 - n. Let m = 0.9842 + 0.0158. What is the closest to -0.2 in i, 2/17, m? i Let w be -2 + (-188)/30 - -8. What is the closest to 0 in w, -0.2, -1, -5? -0.2 Let f be (8/70)/(4/10). Let a = 2.97 + 0.03. Let p = 1/58 - -83/232. What is the closest to f in a, p, 5? p Let o be 513/(-36) - -6 - -7. Which is the closest to 2/3? (a) o (b) 0 (c) 4/25 (d) -5 c Let i = 1 - 3. Let u = 4997 + -4996. Suppose 0 = -3*s - 5*m + 17, m - 3 = -0*s - s. Which is the closest to i? (a) -4 (b) s (c) u b Let w = -67 + 72. Let n = -4.5 + 4.7. What is the closest to 0 in n, w, 1/4? n Let z = -24 - -11. Let v = z - -14. What is the nearest to 0.1 in -0.4, v, 0.5? 0.5 Let l be 22/33 + (-2 - (-52)/3). What is the closest to 2 in l, 1, 0.5, -2/5? 1 Let s = -15 - -13. Let p be ((-2)/6)/((-58)/4). Let r = p + -20/29. Which is the nearest to r? (a) s (b) 0.5 (c) 0.06 c Let h = -37683/7 - -5383. Let n(a) = -a**2 + a - 1. Let d be n(0). Suppose -4*m = -v + 3*v - 6, 0 = 4*v + 4*m. What is the nearest to 1 in v, h, d? h Let v = 5 - 7. Let n = 26 + -26. Let k = 0.4 + n. What is the closest to v in -0.4, k, 3? -0.4 Let q = 0.587 - 0.687. Let o = 0.1 - -0.1. What is the closest to -1 in 0.05, o, q? q Let d = -2 + 7. Suppose 10*t + 97 = 37. Which is the closest to t? (a) d (b) -2/5 (c) 3 b Let w = -1421 - -1422.6. Let z be 6/28 + 2/(-4). What is the nearest to z in w, 1, -0.1? -0.1 Let k = -2 - -3. Let c = -1 + k. Let x = -13/90 - 1/18. What is the nearest to 3/5 in -4, x, c? c Let d be (2 + 2)/(34 + 28). What is the nearest to d in -4, 1/11, 0? 1/11 Suppose -x + 6*x - 15 = 0. Suppose -d - 3 = -u, 5*d - x*u + 13 = 2. Let k be (-10)/45 + (-1479)/(-459). What is the closest to d in -0.03, k, 5? -0.03 Let t = 5923/15 + -395. What is the nearest to -0.1 in t, 0.04, -1/2? t Let p = -830.7 + 831. What is the nearest to 0.4 in 5, -1/3, -3, p? p Let n = 314.84 - 324. Let u = 9 + n. Let v = -0.46 - u. Which is the closest to -1? (a) v (b) -5 (c) -2 a Let k be 1 + 1 + (-9)/4. Let d be (-2 - 1/(-2))*-2. Let i = -3040 - -3039.6. Which is the nearest to k? (a) d (b) i (c) -4 b Let s = -24 - -24. Suppose 30 = -s*d - 5*d. Let n be 1/d - 2/36. What is the closest to 1/2 in 4, -4, n? n Let x = 35512 + -35507. Let p = 0 - -2. Let d be -1*(p + 1 - 1). Which is the nearest to d? (a) 1/10 (b) x (c) -2/9 c Let q = -7 + 1/2. Let s be (-1 - 2 - -1)*2/(-6). Which is the closest to s? (a) q (b) 1/2 (c) -1 b Let o = -2.1 - -2.1. What is the nearest to o in -5, -1/3, 3, -4? -1/3 Let x = -52.23 + 50.23. Let n be 3 + -3 + 1 - 2. Which is the closest to x? (a) 2/3 (b) 1 (c) n c Let s be (-141)/(-9) - (-15 + 20). What is the closest to 0.1 in 3, s, 5? 3 Let z be 46/(-102) + (-1)/(-3). Let o = -1876 + 1875. Let k be 2 - (1 + -6) - 2. Which is the nearest to o? (a) 4 (b) k (c) z c Let x be (-2 + 3)/((-2)/230). Let s = x - -1037/9. Let m be -8 + ((-1)/(-1))/((-25)/(-175)). Which is the closest to m? (a) 1/5 (b) 3/2 (c) s a Let t be 185/(-1850)*1/(6/(-8)). What is the nearest to -1/3 in t, -0.018, -0.2? -0.2 Let i = 43/399 + 2/57. Suppose 4*j - 3*j - 5*t = 20, -t = -j + 8. Let w be 0 + 2 + 5/(-2). What is the closest to -2/7 in w, i, j? w Suppose -8*n = -0 - 8. Let r = 25 - 25.2. Suppose 2*l - l = 0. Which is the closest to r? (a) l (b) 0.1 (c) n a Let t = -2.2 + 2. Let r = -593 + 2967/5. What is the closest to r in -2, -0.5, t? t Suppose -2*i = -f + 4 + 22, i - 4*f + 6 = 0. Let j = -264/5 + 53. Let z = 0.89 - -1.11. What is the closest to 1/2 in z, i, j? j Let i = 0.08 - 1.13. Let t = -0.05 - i. What is the closest to t in -0.1, 1, 13? 1 L
{ "pile_set_name": "DM Mathematics" }
2192 rounded to three dps? 0.022 What is 0.0000522534 rounded to four dps? 0.0001 Round 334.6434 to one dp. 334.6 Round 0.0046529513 to five dps. 0.00465 What is 1589.514 rounded to the nearest 10? 1590 What is -0.04980039 rounded to three decimal places? -0.05 Round -2310359 to the nearest ten thousand. -2310000 Round -0.01396971 to 3 dps. -0.014 What is -1.923137 rounded to three decimal places? -1.923 What is -0.1240505 rounded to 2 dps? -0.12 What is 0.01854531 rounded to 5 decimal places? 0.01855 Round 654.518 to the nearest 100. 700 Round -2891.53 to the nearest 10. -2890 Round -4121888.7 to the nearest 100000. -4100000 Round 22394124 to the nearest one hundred thousand. 22400000 Round -0.000000338498 to seven dps. -0.0000003 Round -0.00009316378 to 7 decimal places. -0.0000932 What is 0.000734985 rounded to four decimal places? 0.0007 What is 155059.22 rounded to the nearest 100? 155100 Round -67.7416 to 1 decimal place. -67.7 What is -1481.96 rounded to the nearest ten? -1480 What is 71948900 rounded to the nearest 100000? 71900000 What is -14216.91 rounded to the nearest 10? -14220 What is -11347430 rounded to the nearest ten thousand? -11350000 What is -0.00031784 rounded to six dps? -0.000318 What is -0.0132725 rounded to three dps? -0.013 What is 2178350 rounded to the nearest 100000? 2200000 Round -434.25 to the nearest ten thousand. 0 What is -15266.4 rounded to the nearest one thousand? -15000 What is 210921.4 rounded to the nearest one thousand? 211000 Round -53.0765 to the nearest 10. -50 Round 0.0000043378 to 7 decimal places. 0.0000043 What is -0.4058969 rounded to one dp? -0.4 Round -0.0000017522951 to 7 decimal places. -0.0000018 What is -0.0045173 rounded to four decimal places? -0.0045 What is 0.00133768 rounded to four decimal places? 0.0013 What is 3127107 rounded to the nearest one hundred thousand? 3100000 What is 658.2721 rounded to the nearest 10? 660 Round -46.6301 to 1 decimal place. -46.6 Round 9.819127 to the nearest integer. 10 What is -999789000 rounded to the nearest 1000000? -1000000000 Round -1808474.1 to the nearest ten thousand. -1810000 Round -0.5614786 to three decimal places. -0.561 What is -0.00000857772 rounded to 7 decimal places? -0.0000086 What is 53434.427 rounded to the nearest one hundred? 53400 Round 5314830 to the nearest one hundred thousand. 5300000 Round -11404900 to the nearest one million. -11000000 What is -1515953.7 rounded to the nearest one thousand? -1516000 Round 0.000006589069 to seven decimal places. 0.0000066 Round 95371 to the nearest ten thousand. 100000 Round 0.000018448844 to 6 dps. 0.000018 Round -46201.1 to the nearest ten. -46200 Round -1599.3599 to 0 decimal places. -1599 Round 2959485000 to the nearest one million. 2959000000 Round 172344920 to the nearest one million. 172000000 What is -339.9314 rounded to the nearest integer? -340 What is 3780.44 rounded to the nearest 100? 3800 What is 0.183191 rounded to 2 dps? 0.18 Round 34035.834 to the nearest 10000. 30000 Round 1.9709 to 0 decimal places. 2 Round 108386.76 to the nearest 100. 108400 What is 0.00000441321 rounded to 7 decimal places? 0.0000044 Round 906.151 to the nearest one hundred. 900 What is 179.70372 rounded to one decimal place? 179.7 Round 74369.123 to the nearest 100. 74400 What is 0.000032434 rounded to 6 decimal places? 0.000032 What is -0.054480898 rounded to two dps? -0.05 Round 121711.479 to the nearest ten thousand. 120000 Round -324.799 to zero dps. -325 Round 0.000027222267 to 7 decimal places. 0.0000272 What is 40.098342 rounded to two decimal places? 40.1 Round 15987630 to the nearest 100000. 16000000 Round 118560700 to the nearest one million. 119000000 Round -193.374 to the nearest ten. -190 Round 0.4526242 to 1 dp. 0.5 What is -2.095494 rounded to 0 dps? -2 Round 0.062960945 to 4 decimal places. 0.063 What is -92.908 rounded to the nearest integer? -93 Round 157.54526 to the nearest ten. 160 Round 0.159124 to three decimal places. 0.159 Round 1560774 to the nearest one thousand. 1561000 Round -0.01497794 to 4 dps. -0.015 What is 328.3414 rounded to 0 decimal places? 328 Round 113.65 to one dp. 113.7 What is 14.06683 rounded to 1 dp? 14.1 What is 33.6703 rounded to the nearest integer? 34 Round -0.0933094 to 2 dps. -0.09 Round -25.020066 to 0 decimal places. -25 What is -0.000136758 rounded to 5 decimal places? -0.00014 Round -57.9383 to the nearest ten. -60 What is -29850 rounded to the nearest 10000? -30000 Round -86.43071 to zero decimal places. -86 Round -49135900 to the nearest 100000. -49100000 What is 1783953 rounded to the nearest one thousand? 1784000 Round -0.4093221 to three decimal places. -0.409 What is 0.0770095 rounded to three dps? 0.077 What is 0.001035302 rounded to six dps? 0.001035 Round -0.0000008208689 to 7 dps. -0.0000008 Round 0.042966 to 3 decimal places. 0.043 Round -380184.32 to the nearest ten thousand. -380000 Round -0.00000277512 to 7 decimal places. -0.0000028 What is -9.11894 rounded to one dp? -9.1 Round 0.0000008477692 to 7 decimal places. 0.0000008 What is -39.7871 rounded to 1 decimal place? -39.8 Round 7086.77 to the nearest 100. 7100 What is 10171.603 rounded to the nearest 100? 10200 What is -0.01048961 rounded to five decimal places? -0.01049 What is -0.000341404 rounded to 5 decimal places? -0.00034 Round -6680.06 to the nearest ten. -6680 What is 9.21166 rounded to one dp? 9.2 Round -18.010789 to one dp. -18 What is -0.14665663 rounded to 3 dps? -0.147 What is -1595469000 rounded to the nearest one million? -1595000000 Round -371700000 to the nearest one million. -372000000 Round 305316.15 to the nearest 1000. 305000 Round 0.0001257446 to 7 dps. 0.0001257 What is -134.48779 rounded to the nearest 10? -130 Round -5542.1126 to zero decimal places. -5542 Round 56473470 to the nearest one million. 56000000 What is 59.6817 rounded to one decimal place? 59.7 What is -2241007000 rounded to the nearest 1000000? -2241000000 What is -131952 rounded to the nearest 10000? -130000 Round 0.01299 to three dps. 0.013 What is -146089.9 rounded to the nearest ten thousand? -150000 Round 0.025515608 to 5 decimal places. 0.02552 Round 6605563800 to the nearest 1000000. 6606000000 What is 19.86486 rounded to 1 decimal place? 19.9 Round -0.00001915923 to 7 decimal places. -0.0000192 What is 0.045237 rounded to two decimal places? 0.05 What is 445.979 rounded to the nearest one hundred? 400 What is 435.42497 rounded to the nearest integer? 435 What is -5922881.9 rounded to the nearest one million? -6000000 Round -180943000 to the nearest one million. -181000000 Round 0.0000026212 to five decimal places. 0 Round 403.3191 to the nearest 10. 400 Round 0.008982995 to three dps. 0.009 What is 0.000513295 rounded to five dps? 0.00051 What is 44329130 rounded to the nearest 100000? 44300000 Round 2998556 to the nearest 1000. 2999000 Round -7266500 to the nearest 100000. -7300000 Round 1547.686 to the nearest 100. 1500 Round -63453.17 to the nearest 10000. -60000 Round -0.0210983 to four decimal places. -0.0211 Round -0.003997061 to six dps. -0.003997 What is 4.7079518 rounded to 2 decimal places? 4.71 Round 50.712 to the nearest integer. 51 What is 99.9963 rounded to 0 decimal places? 100 What is -2441419 rounded to the nearest 10000? -2440000 Round -1.37173 to 1 decimal place. -1.4 Round 4516921.8 to the nearest 10000. 4520000 What is -6481877 rounded to the nearest 100000? -6500000 What is -73135.1 rounded to the nearest 10000? -70000 Round -66142.48 to the nearest one thousand. -66000 What is -311873.1 rounded to the nearest one thousand? -312000 What is 0.000076436 rounded to 7 dps? 0.0000764 What is 130.2098 rounded to 0 decimal places? 130 What is 1454649.1 rounded to the nearest 100? 1454600 Round -0.00996656 to three decimal places. -0.01 Round 79811980 to the nearest one million. 80000000 What is 0.0034091197 rounded to 4 dps? 0.0034 Round -197.9893 to the nearest 100. -200 What is -0.00000472802 rounded to five decimal places? 0 Round 15006280 to the nearest one million. 15000000 Round -0.0003922938 to 5 dps. -0.00039 What is -0.001976882 rounded to six decimal places? -0.001977 Round 301217.1 to the nearest one thousand. 301000 What is 3163044 rounded to the neare
{ "pile_set_name": "DM Mathematics" }
0770406, -20770375, -20770338? -20770295 What is next in -20028172, -40056335, -60084496, -80112655, -100140812? -120168967 What is the next term in 2582, 535, -1492, -3493, -5462, -7393? -9280 What is the next term in -88220628, -176441252, -264661876, -352882500, -441103124, -529323748? -617544372 What is next in 807974, 807306, 806638? 805970 What comes next: 608, 631, 76, -1057, -2768, -5057? -7924 What is next in 2953244, 2953245, 2953246, 2953247, 2953248, 2953249? 2953250 What is next in -35311141, -35311140, -35311139, -35311138, -35311137? -35311136 What is the next term in 938, 3016, 6466, 11276, 17434, 24928, 33746, 43876? 55306 What is next in 7230647, 7230655, 7230663, 7230671, 7230679, 7230687? 7230695 What is the next term in -310996, -310745, -310316, -309703, -308900? -307901 What is the next term in 402029, 397212, 392395, 387578, 382761? 377944 What is the next term in -56195, -112413, -168631, -224849? -281067 What is the next term in -1680818, -1680809, -1680814, -1680833? -1680866 What comes next: -101886, -101491, -100414, -98313, -94846, -89671, -82446? -72829 What is next in 58540, 60380, 62220, 64060, 65900? 67740 What is the next term in 184863, 369856, 554849, 739842, 924835, 1109828? 1294821 What is the next term in 29440, 115582, 259152, 460150, 718576? 1034430 What comes next: -2522, -10838, -24692, -44078, -68990, -99422, -135368, -176822? -223778 What is the next term in -13168909, -26337819, -39506729, -52675639, -65844549? -79013459 What comes next: -6082, -6171, -6416, -6895, -7686, -8867, -10516, -12711? -15530 What is the next term in -8825630, -17651264, -26476898, -35302532, -44128166? -52953800 What is next in -3804957, -3804965, -3804979, -3804999? -3805025 What is next in 24820, 49530, 74124, 98602? 122964 What comes next: -624, -478, -238, 108, 572, 1166? 1902 What is next in -1833, -3457, -5007, -6447, -7741, -8853, -9747, -10387? -10737 What comes next: -22, -67, -8, 293, 974, 2173, 4028, 6677? 10258 What comes next: -113584568, -227169136, -340753704, -454338272, -567922840, -681507408? -795091976 What is the next term in -1041065572, -1041065578, -1041065586, -1041065596? -1041065608 What is the next term in -2867, -21469, -71969, -170315, -332455, -574337? -911909 What comes next: -140469, -140639, -140813, -140991, -141173? -141359 What comes next: 81940, 327487, 736738, 1309693, 2046352, 2946715, 4010782? 5238553 What comes next: -720266, -2880946, -6482088, -11523698, -18005782? -25928346 What comes next: -220, -594, -1444, -3004, -5508, -9190, -14284, -21024? -29644 What comes next: -180565, -180594, -180623, -180652? -180681 What is next in 48072, 47943, 47600, 46935, 45840? 44207 What is next in -742945, -1485898, -2228849, -2971798, -3714745? -4457690 What comes next: -2407012, -2407025, -2407038, -2407051? -2407064 What is the next term in -3810, -2593, -1384, -183? 1010 What comes next: 5962, 12036, 18358, 25060, 32274? 40132 What comes next: -141, -481, -1433, -3321, -6469, -11201? -17841 What is the next term in 1274331, 5097205, 11468661, 20388699, 31857319, 45874521, 62440305? 81554671 What comes next: -1449888, -2899776, -4349664, -5799552, -7249440? -8699328 What is next in 144858, 282531, 420206, 557883, 695562? 833243 What is next in 5845497, 5845487, 5845473, 5845461, 5845457, 5845467, 5845497, 5845553? 5845641 What is the next term in 23685, 23631, 23563, 23487, 23409, 23335, 23271, 23223? 23197 What is next in 49459, 98940, 148435, 197950, 247491, 297064? 346675 What is the next term in -1793254, -3586500, -5379746, -7172992, -8966238, -10759484? -12552730 What is next in 7649, 30591, 68837, 122387, 191241? 275399 What is the next term in 2660, 5488, 8482, 11636, 14944, 18400, 21998? 25732 What comes next: -9441, -26162, -50161, -81438, -119993, -165826, -218937? -279326 What is next in -492686, -492689, -492694, -492701, -492710? -492721 What comes next: 1298845, 2597688, 3896531? 5195374 What is next in 5394, 5402, 5430, 5490, 5594, 5754, 5982? 6290 What is the next term in -444120, -1777445, -3999974, -7111707? -11112644 What is next in -107902, -221770, -335638, -449506, -563374? -677242 What comes next: -10354, -10381, -10386, -10363, -10306, -10209? -10066 What is the next term in -5384, -5457, -5602, -5837, -6180, -6649, -7262? -8037 What is the next term in 1384, 1860, 1294, -836, -5052, -11876, -21830? -35436 What is the next term in -1835295, -1835280, -1835255, -1835220, -1835175? -1835120 What is the next term in 15900, 17089, 18280, 19473, 20668, 21865? 23064 What is next in 6603, 6360, 5949, 5370, 4623, 3708, 2625? 1374 What is the next term in 5667, 33788, 110101, 258702, 503687, 869152, 1379193, 2057906? 2929387 What is the next term in -536231, -536268, -536369, -536564, -536883? -537356 What is the next term in 168157, 168221, 168305, 168409? 168533 What comes next: 86824, 85764, 84706, 83650, 82596, 81544? 80494 What comes next: -7085, -14195, -21405, -28763, -36317, -44115, -52205, -60635? -69453 What is next in 601255, 601242, 601221, 601192, 601155, 601110? 601057 What is next in 135017681, 135017685, 135017689, 135017693? 135017697 What is the next term in 22390, 179135, 604596, 1433131, 2799098, 4836855, 7680760? 11465171 What comes next: 150, 104, -14, -240, -610, -1160, -1926, -2944? -4250 What is the next term in 8921, 4777, -6479, -28405, -64559, -118499, -193783? -293969 What comes next: 5972818, 11945585, 17918352? 23891119 What comes next: 91908293, 183816590, 275724887, 367633184, 459541481? 551449778 What is next in 1007, 955, 843, 653, 367? -33 What is the next term in 3633, 14465, 32517, 57789? 90281 What comes next: 517, 5393, 13533, 24937? 39605 What comes next: -195283, -390591, -585889, -781165, -976407, -1171603, -1366741, -1561809? -1756795 What comes next: -44378396, -44378381, -44378366, -44378351? -44378336 What is the next term in 138944452, 138944448, 138944444, 138944440, 138944436, 138944432? 138944428 What is next in -7472101, -14944199, -22416299, -29888401, -37360505, -44832611? -52304719 What is next in -5554567, -5554570, -5554573, -5554576, -5554579, -5554582? -5554585 What is next in 671963, 1343948, 2015933, 2687918, 3359903? 4031888 What is next in 10101, 10576, 11051? 11526 What comes next: 49940, 193813, 433602, 769307, 1200928, 1728465, 2351918? 3071287 What is the next term in 21611, 24167, 26723, 29279, 31835, 34391? 36947 What comes next: 1644, 13440, 45696, 108714, 212796? 368244 What is next in 72669, 145339, 218009, 290679? 363349 What is next in -3623691, -7247390, -10871093, -14494800? -18118511 What is next in -845, -1639, -2317, -2807, -3037, -2935, -2429? -1447 What is the next term in -1063592, -2127179, -3190766, -4254353, -5317940? -6381527 What comes next: -1022976, -1022963, -1022942, -1022913, -1022876, -1022831, -1022778? -1022717 What is next in 2354, 5014, 7796, 10700, 13726? 16874 What comes next: -180300, -360341, -540382? -720423 What comes next: -1842495, -3685036, -5527577? -7370118 What comes next: 14399, 27251, 40103? 52955 What is next in -384, -512, -850, -1506, -2588, -4204? -6462 What is next in -978025, -1956057, -2934089, -3912121, -4890153? -5868185 What comes next: -78647, -314555, -707727, -1258157, -1965839? -2830767 What comes next: -3764, -15057, -33862, -60167, -93960? -135229 What is the next term in -2718939, -2718946, -2718957, -2718972, -2718991, -2719014, -2719041? -2719072 What is the next term in 107485, 429815, 967009, 1719079, 2686037, 3867895, 5264665, 6876359? 8702989 What is next in -52744, -105363, -157974, -210571, -263148, -315699, -368218, -420699? -473136 What is next in 1749, 2303, 3789, 6675, 11429, 18519, 28413? 41579 What comes next: 7915, 7161, 5907, 4153, 1899? -855 What is the next term in -122494936, -244989875, -367484814, -489979753, -612474692? -734969631 What comes next: -447, -1424, -2933, -4968, -7523? -10592 What is next in -28696, -57324, -85874, -114340, -142716, -170996, -199174? -227244 What is the next term in 4077253, 8154504, 12231759, 16309018, 20386281, 24463548, 28540819? 32618094 What comes next: 2693, 10458, 23299, 41216, 64209, 92278? 125423 What comes next: -161332982, -161332974, -161332962, -161332946? -161332926 What is the
{ "pile_set_name": "DM Mathematics" }
210 + 206. What is the remainder when ((-160)/56 - 8)*14/z is divided by f(8)? 8 Let a = -64 + 79. Suppose 6*u - 4*u = -4. Calculate the remainder when 18 is divided by (8/(-5))/(u/a). 6 Let t = 1 - -45. Suppose 0 = -2*a - 176 - t. Calculate the remainder when -1 - (a/(-6))/(2/(-4)) is divided by 19. 17 Suppose -2*w = -w + 4*s - 228, -w - 5*s = -229. Let y = -212 + w. Calculate the remainder when 706 is divided by y. 10 Let z = -320 - -324. Suppose 16*r = z*r + 276. What is the remainder when 2/7 - 878/(-14) is divided by r? 17 Suppose -u + a = -19, -703*u + 702*u + 8*a = -89. Let t(x) = 28*x + 1. Let c be t(1). Calculate the remainder when 1 - (-1*c - -2) is divided by u. 1 Suppose -178*g = -173*g + 2*p - 1537, -5*p = -5. What is the remainder when g is divided by 9? 1 Suppose 4*z = -3*i + 53, z - 17 = -i - i. Let o be (1 + -2 + 15)/1. Suppose z*p - o*p = -93. What is the remainder when p is divided by 11? 9 Suppose 4*i - 144 = -0*i - 4*m, -3*i - 4*m + 111 = 0. What is the remainder when 1365 is divided by i? 12 Let n = 51 - 21. Suppose 0 = -4*a - n + 22. Calculate the remainder when 44 is divided by (3 + 10)/(-1 - a). 5 Let r(d) = -d**2 - 46*d - 54. Let p be r(-36). Let n(b) = 27*b**3 + b**2 - b. Let t be n(2). Let h = p - t. What is the remainder when h is divided by 30? 28 Suppose 18*t = 54*t - 30*t - 366. What is the remainder when 2054 is divided by t? 41 Let j(y) = 116*y**3 + 10*y**2 - 7*y - 10. Calculate the remainder when j(5) is divided by 77. 75 Suppose 66*w - 28 = 62*w. Calculate the remainder when 354 is divided by (5 + -4)/(w/497). 70 Suppose 60 = w + 14. Calculate the remainder when (170 - (4 + 19)) + -16 is divided by w. 39 Let r(q) = -4*q**2 - 9*q + 2. Let v be r(-3). Let f = 9 + -3. What is the remainder when f is divided by (88/12 + v)/(1/9)? 0 Let y = 9121 + 972. What is the remainder when y is divided by 49? 48 Let d(c) = 1208*c - 786. Calculate the remainder when d(1) is divided by 66. 26 Suppose 4*o - 44 = 364. Let s = 12896 - 12840. Calculate the remainder when o is divided by s. 46 Let c = 58694 - 58682. Let g(y) = 19*y**3 + 3 - 2*y**2 + 3*y**3 - 2. What is the remainder when g(1) is divided by c? 9 Let v be 62/403 - 19116/39. What is the remainder when -7 + 3*v/(-15) is divided by 4? 3 Suppose -3*h + 1398 - 345 = 0. Let l = -136 + h. Calculate the remainder when l is divided by 44. 39 Suppose t + 3 = 5. What is the remainder when t/((-4)/2) - -109 is divided by (-153)/(-102)*(-40)/(-6)? 8 Let i = 20 - 11. What is the remainder when (-6)/(-24) + 855/4 is divided by i? 7 Let u = 207 - 198. Let c(t) = 5*t**2 + 20*t - 16. Calculate the remainder when c(u) is divided by 22. 19 Let f(n) = n**2 - 13*n + 306. Calculate the remainder when f(20) is divided by 30. 26 Let k be 3/(-6)*(6 - 4 - 16). Suppose -104 = -4*y + 4*s, -2*y + k + 40 = 3*s. What is the remainder when 99 is divided by y? 24 Suppose 5*h = -600 + 615. Suppose 2*n = -h*j - 3*n + 89, 57 = 2*j + n. What is the remainder when j is divided by 10? 8 Suppose 0 = 3*x - 5*n - 13, -5*n - 6 = -2*x + 1. Suppose 0 = -x*l - 19 + 7. Calculate the remainder when 1312/48*(1 + l/(-4)) is divided by 11. 8 What is the remainder when 24 is divided by ((-54)/(-45))/((-27)/(-225))? 4 Suppose 0 = -4*k + 3*s + 35, -5*k + 5*s - 10*s = -70. Let q(h) = h**2 - 9. Let c be 2/(-8) + (-377)/(-52). What is the remainder when q(c) is divided by k? 7 Let y = 66417 - 66280. Let z(s) = s**3 - 6*s**2 + 8*s - 1. Calculate the remainder when y is divided by z(6). 43 Let r(j) = j**3 - 8*j**2 + 12*j - 11. Let c(y) = 18*y + 475. Let s be c(-26). Let k(u) = u + 3. Calculate the remainder when r(s) is divided by k(6). 6 Let y(d) = 3*d**3 + 13*d**2 + 11*d + 38. Calculate the remainder when 8238 is divided by y(-4). 8 Suppose 4*u + 2*u - 267 = 3*u. Let o = 40 + -25. What is the remainder when u is divided by o? 14 Suppose 6*m - 417 = -51. Let d = m + -62. Calculate the remainder when 73 is divided by (d - -2) + -1 + 19. 16 Let g(k) = k**3 - 14*k**2 + 13*k + 15. Suppose -4*c = -5*c + 2. Suppose 3*u - 97 = 2*v, 67 = u + c*u + 4*v. Calculate the remainder when u is divided by g(13). 14 Suppose 5*m - 1224 = -3*k + k, -975 = -4*m - 3*k. Let v = m + -201. What is the remainder when v is divided by 16? 13 Let g = 6297 + 18200. Calculate the remainder when g is divided by 9. 8 Let g = 2874 - 1607. What is the remainder when g is divided by 53? 48 Let w be (36/(-30))/((-1)/(160/(-3))). Let b(z) = z**2 - 8*z + 5. What is the remainder when ((-60)/12)/(3 - w/(-20)) is divided by b(9)? 11 Let w(j) = 38*j**2 - 2*j - 97. What is the remainder when w(6) is divided by 84? 83 Suppose 322 + 463 - 147 = 11*d. Let s(t) = -1 + 8 - 2*t + t. What is the remainder when d is divided by s(-5)? 10 Suppose -18*n + 23*n - 51 = -3*c, -4*c + 68 = -n. Calculate the remainder when -1*(1 - 2) - -115 is divided by c. 14 Suppose 2*j = -3*z + 139, 5*j = 2*z - 85 - 33. Let o = 10 + 53. Let t = o + -50. Calculate the remainder when z is divided by t. 10 Let w(x) = -8*x**2 + 16*x + 11. Let h(g) = -10*g**2 + 17*g + 11. Let z(j) = 3*h(j) - 4*w(j). Calculate the remainder when 129 is divided by z(8). 12 Let u(h) = 13*h + 1. Let r(t) = -t**3 - 67*t**2 - 31*t + 2382. Calculate the remainder when r(-66) is divided by u(3). 32 Suppose -170*l = 35*l + 5*l - 256830. Calculate the remainder when l is divided by 51. 50 Suppose -28*d = -35*d + 9744. Suppose 0 = 2*o - 5*n - 771 + 59, 0 = 4*o - 2*n - d. Calculate the remainder when o is divided by 12. 10 Let d = 334078 - 334040. Calculate the remainder when d is divided by (-41 - 1)/2*-1. 17 Suppose 0 = -2*l + 4*n, 0 = n + 2. Let t = l + 11. Suppose 39*a = 34*a + 10. What is the remainder when t is divided by a? 1 Let p = 437 - 612. Let y = p - -190. Calculate the remainder when 28 is divided by y. 13 Let g(z) be the third derivative of -z**6/20 - 5*z**4/12 - 10*z**3/3 - 192*z**2. What is the remainder when 573 is divided by g(-2)? 45 Let y(b) = 911*b + 4588. What is the remainder when 659 is divided by y(-5)? 32 Suppose -63*x + 4440 = -33*x. Suppose x*s = 153*s - 180. Calculate the remainder when 142 is divided by s. 34 Suppose 10*r - 108 = 742. Calculate the remainder when 92 is divided by r. 7 Suppose -10*o = -66*o + 3024. Suppose -5*m + 16 = -3*m. Calculate the remainder when (o/m)/((-2)/(-24)) is divided by 23. 12 Let s(d) = 6*d**2 + 757*d + 172. What is the remainder when 506 is divided by s(-126)? 0 Let o = 3246 + -3149. What is the remainder when o is divided by 3? 1 Suppose -204*r = 42*r - 169002. Calculate the remainder when 2759 is divided by r. 11 Suppose 52 - 36 = 4*w. Suppose -w*o + 242 = 7*o. Let p = -400 - -404. What is the remainder when o is divided by p? 2 Let k(r) = 79*r + 276. Let d be k(-6). Let s = -161 - d. Calculate the remainder when 103 is divided by s. 29 What is the remainder when 786 is divided by 44/8*5/((-10)/(-12))? 27 Suppose 0*r + 13 = r. Let x be 3/(-5) - (-2548)/130. Suppose n - 9 = x. What is the remainder when n is divided by r? 2 Let w be (-7)/(-2) + -2*(-3)/12. Suppose 0 = -5*q - 5*a + 35, w*q + 10*a - 5*a = 25. Calculate the remainder when q is divided by 6. 4 Suppose 15*y - 12*y = 90. Suppose r = -3*r - 16, 2*p = 3*r + y. Suppose -p = 3*x - 0, -2*c + 99 = -5*x. What is the remainder when c is divided by 9? 6 Let a(u) = -2*u - 9. Suppose 0 = 26*v - 36*v - 1020. Calculate the remainder when (-3 - 294/v) + 189/17 is divided by a(-6). 2 Suppose 34 + 2 = 2*x. Let k = 21 - x. Suppose -52 = 2*g - k*g. What is the remainder when g is divided by 11? 8 Suppose 0 = 25*i - 22*i + 9, f = -4*i + 28. What is the remainder when 747 is divided by f? 27 Suppose -12*n - 9 + 9 = 0. What is the remainder when 91 is divided by n + (-168)/(-8) + -2? 15 Suppose 70 = -20*a + 35*a - 8*a. What is the remainder when 739 is divided by a? 9 Let d = -165 + 353. Calculate the remainder when d is divided by (32/(-5))/((-8)/120). 92 Suppose -4*a - 5*j + 28 = -j, -3*j = 4*a - 27. What is the remainder when (14/8 - -2)*15/(-375)*-80 is divided by a? 0 Let x(p) = 43*p - 76. Let r = -273 + 307. Calculate the remainder when x(12) is divided by r. 32 Suppose -5*m - 87 = -337. Let t = m + 17. Suppose -t + 165 = 7*s. What is the remainder when 23 is divided by s? 9 Suppose -2*j + 637 = -u, 4*j + 66*u = 71
{ "pile_set_name": "DM Mathematics" }
to 3 dps? 0.011 Let i = -492.487 + 492.4520057. Let g = -0.035 - i. What is g rounded to six decimal places? -0.000006 Let d = -21 + 20.999948. What is d rounded to 5 decimal places? -0.00005 Let t = -179.9 - -26.9. Let j = -153.63 - t. What is j rounded to one dp? -0.6 Let v(r) be the second derivative of r**3/6 - 6*r**2 - 3*r. Let f be v(11). Let k be 2000/((-2)/f)*-6. What is k rounded to the nearest 1000? -6000 Suppose -81199 - 7227 = -2*k. Let g = k + -574213. What is g rounded to the nearest 100000? -500000 Let t be (-40)/12*6/(-4). Suppose 2*v + 19200000 = t*v. Round v to the nearest 1000000. 6000000 Let t = 1.5 + -2.8. Let w = -82 + 82.86. Let r = t + w. What is r rounded to one decimal place? -0.4 Suppose 0 = -11*k - 7254 - 1876. What is k rounded to the nearest 1000? -1000 Suppose -1949980 = -3*f - 0*f - 4*r, -f + 650025 = -5*r. Round f to the nearest one hundred thousand. 700000 Let m = 0.2 - 0.14. Let f = -0.0624 + m. What is f rounded to 3 decimal places? -0.002 Let n = 61 + -96. Let i = n - -35.114. What is i rounded to 2 dps? 0.11 Suppose -3*a = -5*w + 3599988, 2753406 = 4*w - 2*a - 126586. What is w rounded to the nearest 100000? 700000 Let u = -1755584 + 3185584. What is u rounded to the nearest 100000? 1400000 Let c(a) = 40001*a + 2. Let w be c(6). Suppose 5*k + 5*o = k + 192010, -4*o = 5*k - w. Suppose -k = 3*q - 6*q. Round q to the nearest 10000. 20000 Suppose -2*n + 3070 = 2*l, 7651 = -0*n + 5*n - l. Let w = 560 - 371. Suppose -w = -2*k + n. What is k rounded to the nearest one hundred? 900 Let c = -9.3 + 1.3. Let v = -7.97 - c. Let p = v - -0.04. Round p to one decimal place. 0.1 Suppose -5*x = -4*b + 15008, 4*x = -0*b + b - 12002. Round x to the nearest ten thousand. 0 Let g = 8 - 9.5. Let n = -9 - -6. Let d = g - n. What is d rounded to the nearest integer? 2 Let a(b) = 13494*b**2 - 2*b + 3. Let y be a(2). Suppose -3*l - 152489 - 246436 = 0. Let v = l + y. What is v rounded to the nearest ten thousand? -80000 Let s = -0.034 + 1.274. Let b = s + 11.06. Round b to the nearest integer. 12 Let x = -19702164 - -13342164. Round x to the nearest one million. -6000000 Let a = -3.39 - -4. What is a rounded to 1 dp? 0.6 Suppose 0 = 2*j - 8. Let q(t) = t**3 - 6*t**2 + 7*t - 5. Let a be q(j). Let c be 1*3*6/a. Round c to the nearest ten. 0 Let j = 54.00000581 + -54. Round j to six decimal places. 0.000006 Suppose 4*v - 2*v = 0. Suppose 0 = -5*a + 10 + 10, v = 2*o - a - 212. What is o rounded to the nearest ten? 110 Let w be (-707998)/(-6) - (-1)/3. What is w rounded to the nearest ten thousand? 120000 Let z = -16.8 + 16.01. What is z rounded to one decimal place? -0.8 Let b = -0.05991 + 4.06711. Let w = b + -4. What is w rounded to three dps? 0.007 Let x = -41.9321 + 0.0321. Let b = -40 - x. Let y = 4.3 - b. What is y rounded to zero dps? 2 Let c = 0.8 - 0.79999984. Round c to seven decimal places. 0.0000002 Let s = -0.12287 - 5.70353. Let h = s + 5.7. Let l = h + 0.13. What is l rounded to 3 dps? 0.004 Let c be (-7)/3*(-2 + -1). Let i(j) = j - 2. Let t be i(c). Suppose -t*r + 0*b + 3*b - 6999994 = 0, -b - 2 = 0. What is r rounded to the nearest 1000000? -1000000 Let t = -8199441130277.4599969 - -8199437337206. Let f = -3793072 - t. Let v = f + 0.54. What is v rounded to six dps? -0.000003 Let a = -0.0926 - -0.092051. What is a rounded to 4 dps? -0.0005 Let s = 9.02 - 0.02. Let z = -2449247.999979 - -2449257. Let p = s - z. Round p to five decimal places. -0.00002 Let x = -0.61 + 0.610082. What is x rounded to five dps? 0.00008 Suppose -o = -6*o + 20. Suppose 4*w = -o*a + a + 54, 5*w = 5*a - 55. Let d = a + -23. Round d to the nearest 10. -10 Let s = 0 + 2. Let x be (-4 - (-4 + s)) + 3. Let w be x*-8600001 - (-1 + 0). What is w rounded to the nearest 1000000? -9000000 Suppose -g + 5*c + 70 = c, -4*c + 70 = g. What is g rounded to the nearest 10? 70 Let i = 14 + -13.95. Round i to 2 dps. 0.05 Let b(a) = 4997*a - 1. Let n be b(8). Suppose -3*q = -4*o + 2*q - n, -q = -o - 9995. What is o rounded to the nearest 100000? 0 Let o be 143/3 + (-3)/(-9). Let k = o + -25. Suppose -k - 7 = 5*g. Round g to the nearest ten. -10 Suppose 0 = -6*q + q + 80. Let c be (q + -1 - -2)/1. What is c rounded to the nearest ten? 20 Let i = 0.75 + -41.75. Let f = i - -40.38. What is f rounded to 1 dp? -0.6 Let h(y) = 485*y**2 + 5*y + 9. Let f be h(8). Let b = f - 46089. What is b rounded to the nearest ten thousand? -20000 Let d = -2.55 + 0.15. Let b = 0.4 + d. Let n = -2.0005 - b. Round n to four dps. -0.0005 Let h = 7.3515 - 6.451475. Let s = -0.9 + h. Round s to five decimal places. 0.00003 Let m = 29396067.00077 + -29396198. Let s = -45 - -176. Let j = m + s. Round j to 4 dps. 0.0008 Let l = -17.77928 - -11.77927. Let m = 51 - 45. Let p = l + m. Round p to six decimal places. -0.00001 Let x = 1.4041 - 1.334. Let d = x + -0.07. What is d rounded to 3 dps? 0 Let f = -0.945804 + -0.054236. Let a = -1 - f. Round a to five dps. 0.00004 Let r(g) = 63*g**2 - 7*g. Let x be r(-7). Suppose 23264 = -4*m - x. What is m rounded to the nearest 1000? -7000 Let p = -0.045 + -2.655. Round p to zero dps. -3 Let h be ((-35)/(-20))/(3/(-3228)). Let t = 111883 + h. Round t to the nearest 100000. 100000 Let x = 3203 - 1374. Let k = x + -1798.48. Let i = k - 31. Round i to one dp. -0.5 Suppose -4*v = 20, 2*k + k + 2*v = 6680. Round k to the nearest one hundred. 2200 Suppose 37*i - 29*i - 8184000 = 0. What is i rounded to the nearest 100000? 1000000 Let z = -43 + 39.2. Let b = 0.6 - z. Round b to 0 decimal places. 4 Let p = -0.97 - -0.96999786. What is p rounded to 7 dps? -0.0000021 Let r = -0.74 - -0.740057. What is r rounded to 5 decimal places? 0.00006 Let w be 3/(-5) - 22500015/(-25). Suppose -t - w = -4*t. What is t rounded to the nearest 1000000? 0 Let q be (-76)/(-3)*(-12)/(-8). What is q rounded to the nearest ten? 40 Let u(c) = 6*c + 1. Let x be u(4). Suppose -35 = -2*v + x. Round v to the nearest ten. 30 Let v(l) = -4*l + 6. Let d be v(6). Let i be (-264596)/(-18) + (-4)/d. Round i to the nearest one thousand. 15000 Let h = 234.64 + -249. Let b = h + 0.36. Let a = -14.048 - b. What is a rounded to 2 decimal places? -0.05 Let n = 9557147 - 6437429. Let b = n - 3119717.60000032. Let d = -0.4 + b. Round d to seven dps. -0.0000003 Let y(u) = -31*u**2 - u. Let z(x) = -x**3 + 4*x**2 + 6*x - 7. Let f be z(5). Let a be y(f). Let d be (-40)/(-1 - a/118). Round d to the nearest 100. -1200 Let o be 2*1/2 - -2. Suppose 4*l = 5*r + 2209, -2*r + 0*r + 2720 = 5*l. Suppose -o*f + 4*n = 2*f - 2688, -l = -f - 2*n. Round f to the nearest one hundred. 500 Let g = 15 - 9. Let n = g - 4. Let d = n - 1.99948. What is d rounded to four decimal places? 0.0005 Let n = -60 + 60.0000135. Round n to 6 dps. 0.000014 Let n = 0.2 + -0.24. Let k = 0.21525 - 0.255. Let b = k - n. Round b to 4 decimal places. 0.0003 Let d = -458 - -458.00739. Round d to 3 dps. 0.007 Suppose 0 = 4*s - 8 - 12. What is s rounded to the nearest 10? 10 Suppose 0 = -5*p - 10*p - 7500. Round p to the nearest 100. -500 Let o(l) = l - 3. Suppose 4*c - 18 = c - 4*r, -4*r - 6 = -c. Let h be o(c). Suppose -145 = -0*u - h*u + 5*y, 4*u - 2*y = 212. Round u to the nearest 10. 60 Let m = -0.2 + 0.5. Let z = 2.7705 - 3.07. Let a = z + m. Round a to three decimal places. 0.001 Let g(q) = 937*q**2 + 5*q - 8. Let i be g(8). What is i rounded to the nearest 100000? 100000 Let i = 0.044 + -0.03. Let f = i - 16.005. Let r = -16 - f. What is r rounded to 3 dps? -0.009 Let p(d) = 1014259*d + 4. Let b be p(-5). Let q = b - -7543554. Suppose -4*l - 18472263 = -q. What is l rounded to the nearest one million? -4000000 Let p = -52 + 51.9873. What is p rounded to 3 decimal places? -0.013 Let b = -70 + 29. Let h = b - -41.019. What is h rounded to 2 dps? 0.02 Let g = -9599 - -9583.986. Let o = -15.024 + 0.024. Let x = g - o. Round x to 2 dps. -0.01 Let d = 368.51 - -36.59. Let w = d - 379. Let x = 23 - w. Round x to the nearest integer. -3 Let b(c) = 83*c**2 - 3*c + 1. Let j be b(4). Let v be j/1 - (-6 - -3). Round v to the nearest one hundred. 1300 Let m = 16 - 16. Let l(d) = d**3 - 3*d**2 + d - 3. Let u be l(3). Let f = m + u. Round f to 2 dps. 0 Let o(v) = -10401*v**2 + 8*v + 5. Let j(t) = 10401*t**2 - 7*t - 5. Let u(g) = 4*j(g) + 3*o(g). Le
{ "pile_set_name": "DM Mathematics" }
= 0. Let s(g) be the third derivative of g**6/30 - 3*g**5/20 + 7*g**3/6 - g**2. Let d(m) = -2*m**3 + 4*m**2 - 3. Determine w*d(j) + 2*s(j). -2*j**3 + 2*j**2 - 1 Let d(p) = -6*p + 5. Suppose -4*x - 3*r + 21 = 0, 5*x - 12 - 6 = -r. Let t(l) = 5*l - 4. Calculate x*d(c) + 4*t(c). 2*c - 1 Let x(c) = 14*c - 5. Let w(r) = 15*r - 6. Determine 6*w(n) - 7*x(n). -8*n - 1 Let g(p) = -6*p - 13. Let i(b) = -b - 2. Give 6*g(c) - 39*i(c). 3*c Let k(z) = 52*z + 6. Let s(t) = -17*t - 2. Calculate 5*k(u) + 16*s(u). -12*u - 2 Let q(k) = -k**3 - 6*k**2 - 5*k. Let a(x) = -4*x + 134 - x**2 + 3*x - 134. What is -6*a(y) + q(y)? -y**3 + y Let o = 40 + -29. Let y(h) = 2*h - 1. Let f = -3 + 6. Let p(s) = 10*s - 3 - 5 + f. Give o*y(u) - 2*p(u). 2*u - 1 Let l(o) be the third derivative of o**5/30 - 5*o**4/24 + 6*o**2 - 4. Let c(n) be the first derivative of 2*n**3/3 - 2*n**2 - 1. Give -6*c(x) + 5*l(x). -2*x**2 - x Let m(p) = p**3 + p**2. Let x(q) = -6*q**3 + 7*q**2. Give 28*m(d) - 4*x(d). 52*d**3 Suppose 2*n - 4 = 3*n. Let j be ((-4)/(-3))/(7/(-21)). Let c(z) = -z**2 - 2*z + 7. Let g be c(j). Let l(d) = -2*d - 3. Let s(y) = 1. Determine g*l(h) + n*s(h). 2*h - 1 Let j(z) = 6 - 1 - 6. Let c(d) = -d - 4. Determine -c(k) + 4*j(k). k Let f(x) = -x**3 + x**2 - x. Let s(v) = -8*v**3 + 3*v**2 - 5*v - 1. Determine 3*f(b) - s(b). 5*b**3 + 2*b + 1 Let h(l) = 11*l**3 - l**2 - 2*l**2 - 6*l - 8 + 8. Let n(a) = -7*a**3 + 2*a**2 + 4*a. Determine 5*h(w) + 8*n(w). -w**3 + w**2 + 2*w Let u(k) = 2*k**3 + 6*k**2 - 9*k - 1. Let r(o) = o**2 - o. What is 6*r(a) - u(a)? -2*a**3 + 3*a + 1 Suppose 2*g - 2*u + 71 - 15 = 0, -3*g = -4*u + 84. Let v(n) = -5*n**2. Let a(o) = 24*o**2. Calculate g*v(i) - 6*a(i). -4*i**2 Let s(o) = -8*o. Let u(h) = 24*h. Calculate 17*s(x) + 6*u(x). 8*x Let j(u) be the second derivative of u**4/12 - u**3/3 - u**2/2 + u. Suppose -194*g = -193*g - 9. Let y(x) = x**3 - 5*x**2 + 9*x + 4. Give g*j(n) + 2*y(n). 2*n**3 - n**2 - 1 Let p(h) = 2*h**2 + 11*h - 2. Let t(d) = -d. Give p(r) + 6*t(r). 2*r**2 + 5*r - 2 Let n(v) = -41*v + 40*v - 5 - 6. Let b(a) = -a - 16. Give 5*b(z) - 7*n(z). 2*z - 3 Suppose -5*v - 14 = 11. Let o(f) = -5*f**3 - 8*f**2 - 5*f - 6. Let n(s) = 4*s**3 + 7*s**2 + 4*s + 5. Determine v*o(j) - 6*n(j). j**3 - 2*j**2 + j Let w(u) = -2*u**2 + 10*u - 2*u**2 - 9*u - 2. Let t(z) = 9*z**2 - 2*z + 5. Calculate -3*t(x) - 7*w(x). x**2 - x - 1 Let q be 0/(-2) + 21/7. Let h(v) = 6*v**2 + 5*v**2 - 4 - q*v**2. Suppose m = o - 11, -4*o - 1 = 2*m + 21. Let j(p) = -15*p**2 + 7. Calculate m*h(d) - 6*j(d). 2*d**2 + 2 Let j(v) = v**2 + 2*v + 1. Let z(g) = g**3 - 1. Calculate -j(b) + z(b). b**3 - b**2 - 2*b - 2 Let x(r) = 64*r + 1. Let d(y) = -128*y - 3. Give -2*d(u) - 5*x(u). -64*u + 1 Let g(q) = 4*q**3 + 3*q**2 + 3*q + 1. Let s(m) = 17*m**3 + 12*m**2 + 13*m + 4. Let o(y) = 26*g(y) - 6*s(y). Let r(f) = f**2. What is -o(v) + 4*r(v)? -2*v**3 - 2*v**2 - 2 Let v(i) be the second derivative of 7*i**3/6 - 19*i. Let p(c) = 4*c. Give -6*p(b) + 4*v(b). 4*b Let s(k) = -k - 1. Suppose 14 = u + 5*l, l = -2*u - 3*u - 2. Let v(x) = -7*x - 5. Let b be (1 - (4 + -1))/2. Let g be 1*b/1*-5. Calculate g*s(t) + u*v(t). 2*t Let n(h) = -h**2 + h - 3. Let l(j) = -2*j**2 + 3*j - 7. Determine 4*l(o) - 9*n(o). o**2 + 3*o - 1 Let c(t) = 9*t - 5. Let a(r) = 45*r - 25. Let d(w) = -2*a(w) + 11*c(w). Let p(u) = 4*u - 2. What is 2*d(f) - 5*p(f)? -2*f Let u(l) = -9*l. Let p(j) = -5*j. Give -7*p(n) + 4*u(n). -n Let y(u) be the first derivative of -u**2/2 + u - 2. Let f(z) = -2*z - 35. Let r(g) = g + 12. Let c(t) = -6*f(t) - 17*r(t). What is c(h) - 6*y(h)? h Let b(s) = -s**2 + 1. Let x(y) = -3*y - 4. Suppose 0 = -2*m - 1 - 3. Let v(h) = m*b(h) - x(h). Let n(q) = -5*q**2 - 7*q - 5. What is 3*n(d) + 7*v(d)? -d**2 - 1 Suppose 4*u - 2*g + 16 = 0, 3*u + 6*g - 6 = 3*g. Let w(t) = 5*t**3 - 2*t - 2. Let z(d) = -21*d**3 + 9*d + 9. Determine u*z(o) - 9*w(o). -3*o**3 Let v(u) = 4*u**2 + 19*u. Let h(j) = j**2 + j. Calculate 2*h(z) - v(z). -2*z**2 - 17*z Let g be 6*(-25)/30*3. Let f(q) = -q. Let i = 3 + -2. Let s(a) = -12*a. What is g*f(t) + i*s(t)? 3*t Let m(t) = -t**3 + 2*t**2 + 3. Suppose -2*x + 9 = x. Let d be m(x). Let z(y) = 8*y**2 - 5*y - 2. Let s(h) = -7*h**2 + 4*h + 2. What is d*s(f) - 5*z(f)? 2*f**2 + f - 2 Let f(m) = -3*m**3 + 7*m**2 - 7*m - 3. Let j(c) = c**3 - 2*c**2 + 2*c + 1. Let p = -8 - -15. Let u be 2*p/2*-1. Determine u*j(h) - 2*f(h). -h**3 - 1 Suppose 2*s = -2*s + 20. Suppose -s*y + 16 = -y. Let f(h) = 3*h**3 - 4*h**2 + 4*h. Let v(r) = 7*r**3 - 9*r**2 + 9*r. Determine y*v(c) - 9*f(c). c**3 Let f(a) = -5*a - 4. Let s(w) = w + 1. What is -f(c) - 4*s(c)? c Let z be 9 - (2 + -2)/1. Let f(r) = 2*r + 9. Let q(n) = 5*n + 17. Let w(s) = -7*f(s) + 4*q(s). Let l(u) = -11 - 12*u - 2*u + u. Calculate z*w(y) + 4*l(y). 2*y + 1 Let f(s) = -s. Let o(p) = p + 1. Give -2*f(j) + o(j). 3*j + 1 Let s(y) = y**2 + 3*y. Let l(q) = -q - 1. Let p(j) = -9*j**3 - j**2 + j + 1. Let t be p(-1). Suppose 2*n = -t + 4. Determine n*l(c) - s(c). -c**2 - c + 2 Suppose -4*p = -29 + 5. Let c(x) be the second derivative of -7*x**3/3 - 17*x**2/2 - 2*x - 26. Let b(w) = 5*w + 6. Give p*c(n) + 17*b(n). n Let w(a) = 3 + 2*a + 5 - 1. Let r(l) = -2*l - 6. Suppose -4*b = -6*b + 22. Let q = 16 - b. Give q*w(n) + 6*r(n). -2*n - 1 Let y(h) = 1 + 5*h + 11*h**2 - 8*h + 12*h. Let f(a) = 5*a**2 + 4*a. What is 5*f(w) - 2*y(w)? 3*w**2 + 2*w - 2 Let a(l) = l**3 + 3*l**2 + 2*l - 3. Let q(x) = -2*x**3 - 4*x**2 - 2*x + 4. Calculate 4*a(j) + 3*q(j). -2*j**3 + 2*j Let p(o) = -1. Suppose -5*l - 80 + 25 = 0. Let f be 3*l/(-6)*-2. Let a(t) = t - 4. Calculate f*p(b) + 2*a(b). 2*b + 3 Let y(o) be the first derivative of -4*o**3/3 - o**2/2 - 3*o + 28. Let v(r) = 5*r**2 + r + 4. Calculate -3*v(f) - 4*y(f). f**2 + f Let i be (-2)/4*(10 + 0). Let r(z) = 2*z - 4*z + z. Let p(s) = s**3 - 5*s. Calculate i*r(c) + p(c). c**3 Let x(z) = -2*z**3 - 5*z**2 - z - 4. Let g(h) = -2*h**3 - 5*h**2 - h - 3. What is 4*g(q) - 3*x(q)? -2*q**3 - 5*q**2 - q Suppose 0 = -0*d + 2*d + 6. Let y(t) = 2*t + 3. Let z(q) = -q - 2. Let p(g) = 3*g + 7. Let c be p(-4). Determine c*z(a) + d*y(a). -a + 1 Let s(n) = -5 - 2*n + 2 + 25*n - 3*n - 6*n**2. Let p(l) be the second derivative of -l**4/6 + 7*l**3/6 - l**2/2 - l. Calculate 17*p(f) - 6*s(f). 2*f**2 - f + 1 Let x(y) = -14*y**2 - 4*y + 13. Let z(k) = 7*k**2 + 2*k - 6. Calculate -3*x(o) - 7*z(o). -7*o**2 - 2*o + 3 Let t(r) = 1. Let j(c) = 9 + 2*c - c - 1. Determine j(b) - 6*t(b). b + 2 Let c(y) be the first derivative of y**2/2 - y - 36. Let j(h) be the third derivative of 1/6*h**3 - 1/24*h**4 + h**2 + 0 + 0*h. Give 3*c(z) + 2*j(z). z - 1 Let l(u) = -5*u**3 + 3*u**2 + u - 1. Let c(t) = t**3 - t**2 + t. Give -3*c(o) - l(o). 2*o**3 - 4*o + 1 Let r(t) be the second derivative of -t**3/6 - 3*t. Let u(j) be the second derivative of j**3/2 + j. What is -5*r(q) - 2*u(q)? -q Let m(t) = -4*t + 1. Let u(h) = 9*h. Let v(s) = 5*m(s) + 2*u(s). Let n(q) = -q + 1. Suppose 0 = -5*z - 5 - 0. Determine z*v(x) + 3*n(x). -x - 2 Let k = 38 + -56. Let x = k + 25. Let s(b) = 2*b + 7. Let q(c) = -c - 4. Calculate x*q(j) + 4*s(j). j Let z(b) = -2*b + 3. Let c(g) = g - 1. What is -7*c(i) - 2*z(i)? -3*i + 1 Let p(c) = -3*c - 7. Let r be p(-4). Let x(g) = 3*g - 4. Let k = 3 + 0. Let z(i) = -k*i - i + 3 + 2. What is r*x(m) + 4*z(m)? -m Let a(y) = -y - 3. Let t(l) = l + 2. Calculate -6*a(q) - 10*t(q). -4*q - 2 Let x be 0 - 3 - (-2 + -41). Suppose 5*u = 4*q - 23, 5*u - x = -4*q - q. Let y(f) = -q*f + 3 + f + 7. Let a(w) = w - 2. What is -16*a(t) - 3*y(t)? 2*t + 2 Let j be -3*((-3)/(-9) - -2). Let l(f) = 4*f**3 + 7*f**2 - 7. Let r(u) = -u**2 - u**2 - u**3 - 1 + 3. Calculate j*r(o) - 2*l(o). -o**3 Suppose 9 = q - 4*f, -5*q + 0*q - 3*f - 1 = 0. Let z(i) = q + 2*i + 3 - 10. Let h(r) = -1. Determine 4*h(m) - z(m). -2*m + 2 Let g(a) = 5*a**2 - 6. Let p(w) = 11*w**2 - 13. Let i be 6/9 + (1 - 26/(-6)). Let s be 13*((2 - 0) + -3). What is i*p(b) + s*g(b)? b**2 Let s(z) = -19*z**3 - 2*z**2. Let w(l) = -19*l**3 - l**2. Determine -2*s(q) + 3*w(q). -19*q**3 + q**2 Let p(k) = -4*k**3 - 7*k**2 + 13*k - 7. Let b(h) = -h**3 + h + 1. Let r(c) = -2*c**2 + 3*c - 3. Let u(a) = b(a) + r(a). Calculate 2*p(x) - 7*u(x). -x**3 - 2*x Let v(y) = y**2 - 1. Let m(x) = -8*x**2 + 3. What is -m(j) - 6*v(j)? 2*j**2 + 3 L
{ "pile_set_name": "DM Mathematics" }
lue in -0.1, -3, -2/9, q? -2/9 Let u be (-22)/4 + (1071/14)/51. Which is the smallest value? (a) -2/17 (b) 52 (c) u c Suppose -27*p - 2*x = -25*p - 38, -p = -2*x - 34. Which is the third smallest value? (a) 39/8 (b) p (c) 2/5 b Let r = -11932.1 + 11932. Which is the second biggest value? (a) -2/31 (b) r (c) -21 (d) 0.3 a Let m be (-5880912)/(-3315) + (-1)/((-2)/10). Let g = 1779 - m. Which is the third smallest value? (a) 4/5 (b) g (c) 4 c Let p be (-39)/9 - 2/3. Let k = -87 + 40. Let u(o) = -7*o - 325. Let h be u(k). Which is the third biggest value? (a) 0.2 (b) p (c) h b Let y = 6 + -6.3. Let f = -490 + 807. Let h = 318 - f. Which is the second biggest value? (a) h (b) 2 (c) y (d) -0.2 a Let s be 8106/322 + -6 - 19. Suppose 4 = 2*n + 10. What is the second smallest value in s, 0, 2/11, n? 0 Let u = 122.71 - 122. Let d = u - 0.66. Let j = 1.8 - 1.5. What is the fourth biggest value in j, -0.1, d, 5? -0.1 Let q = 733 + -674.9. Let f = 57.3 - q. Let l = 0.2 + 0.8. What is the biggest value in l, 0.1, f? l Let i be (-9)/(-3)*1 - -2. Let g = -13.54 - -14.54. Which is the third smallest value? (a) g (b) -2/5 (c) 0 (d) i a Let x = 0.5678 + -0.2678. What is the fourth smallest value in 0.5, 0.082, -4, x, 1? 0.5 Let j = 34085 - 34090. Which is the fourth biggest value? (a) -0.2 (b) j (c) -0.302 (d) 1 (e) 1/5 c Let w = 189.2 + -194.2353. Let h = w + 0.0353. Let t = -1.4 - -0.9. Which is the second smallest value? (a) t (b) 3 (c) 0.05 (d) h a Let f be (-54)/(-13) - (17 - 13). Which is the third smallest value? (a) 1 (b) 2 (c) 1/2 (d) f a Let g = -112 - -115. Let v = 14 - 13.97. Let n = 0.13 - v. Which is the smallest value? (a) g (b) 0.5 (c) n c Let s = -7 - -6.7. Let d = -222435/7 - -31776. What is the second smallest value in d, s, 3? s Let c = -0.42743 - -0.02743. What is the second biggest value in -3/5, -27.9, c? -3/5 Let h = -3.69 + 2.1. Let j = h - -1.59. What is the biggest value in j, 1, -13? 1 Let y be (6/(-12))/(85/34). What is the biggest value in 0, 0.07, y, -2, -5? 0.07 Let m = 3.44 - 3.4. Which is the fourth biggest value? (a) 0 (b) m (c) 3/5 (d) 0.4 (e) -3 a Let k = -0.3 + -0.7. Let f = k + 1.5. Let c = 392/129 - 188/43. What is the second biggest value in f, 6, c? f Let p = 231 + -228. Suppose w - 5 = t, -t = -4*w + 7*w - 15. Which is the third biggest value? (a) p (b) w (c) -7 (d) 39 a Let j = -3.04 + 6.74. Let w = -96 - -91.3. Let i = j + w. What is the third biggest value in -0.4, 0.2, i? i Let a = -33304 + 36629. What is the third smallest value in a, 5, 0.5? a Let y = 695 + -700. Let x be (24/(-390))/(4/(-10)). Suppose 0*t - 10 = 5*t. Which is the fourth smallest value? (a) -2/5 (b) x (c) t (d) y b Let g be (-2 - (-4)/5)*(-2)/4. Let m = g + -4/15. Let w = -5 + 6. What is the third smallest value in w, m, -3? w Let i be 2/12*(-21)/14. Let y = 5 + -55. Let m = 49.5 + y. Which is the smallest value? (a) i (b) m (c) -2/3 c Let j = -22.4 + -102.6. Let y = -132.3 - j. Let w = 7.4 + y. What is the second biggest value in 0, w, 2/3? w Let l = -4639 + 51031/11. Which is the second smallest value? (a) l (b) 387 (c) -1/2 a Let m = -591 - -9459/16. Let b = -117 - -116.8. Let q = -0.341 + -4.659. What is the third smallest value in b, 2, q, m? m Let z = -20.98 + 17.98. Which is the second smallest value? (a) z (b) 3 (c) 16.2 b Let t be 9/(-160)*5/(-3). Let o be 0/(-4) + (32/10 - 3). Let z = 2 - 2.4. What is the third smallest value in z, o, t? o Let f = -10363 - -10334. What is the fifth biggest value in 0.3, -3, f, 0.2, -7? f Let g = -275/2 - -829/6. Which is the third smallest value? (a) 7 (b) -59 (c) g a Let c = -11561/4 - -2890. What is the third biggest value in 1, 1.2, c, 2/3, -1? 2/3 Let m = -0.27 + -0.03. Let h = 4827 - 4830. Let q = -178 + 170. Which is the third smallest value? (a) q (b) h (c) m c Let a = 878 - 1292. Let w = -412 - a. What is the second smallest value in w, 1/5, 1, -0.5? 1/5 Suppose -p + 19 = 7. Let v be (-47)/(-141) + 1/(p/5). Let f = 123 - 122.5. What is the fourth biggest value in v, 0.6, f, -2? -2 Let x = 181/918 + -14/459. What is the third smallest value in x, 33, 0? 33 Let z = -47/6 - -511/66. Suppose -23*b = 65 - 42. What is the third smallest value in 0.4, z, b? 0.4 Suppose -3*s = -0*s - 5*t + 34, 5*s + 5 = -2*t. Let r be (-978)/(-652)*(-1 + 3/(-9)). Which is the third biggest value? (a) s (b) r (c) -4 c Let a = 20.24 - 18.24. What is the biggest value in a, 1.382, 4? 4 Let t be 3 - (169/57 - 0). Let x = -159 - -151. Which is the third biggest value? (a) t (b) x (c) 3 b Let w = -59 + 53.6. Let t = w + 5. Let q = -56.7 - -56.7. What is the second biggest value in q, t, -4? t Let y = 1782.23 + -1782. Which is the fourth smallest value? (a) -2/21 (b) 0.3 (c) -4 (d) y b Let b = 2.23 + -2.33. What is the second smallest value in 2, 0.1, -0.177, b? b Let j = 30.76 + -31. Let g = -0.01 + j. Let p = 0.19 + g. What is the second smallest value in p, -0.3, 4? p Let q = 0.7596 + 0.2404. What is the smallest value in 3, q, -110, 0.3? -110 Let c = 0.632 + -0.732. Let j = 12 + -7. What is the third biggest value in c, j, 44? c Let r = -8381 - -8378. Let f = -6.2 + 6. What is the fourth biggest value in f, 0.2, r, 5? r Let o = -3271 - -3269. Which is the smallest value? (a) o (b) 0.1 (c) 150 a Let u = -4.7 + -0.3. Let o = 463.5 - 603. Let x = -139 - o. What is the smallest value in -0.5, u, x? u Let z = 1 + 0. Let y(o) = -o**2 - 3*o + 3. Let f be y(-3). Let w = 793/165 - 1024/165. Which is the second smallest value? (a) f (b) w (c) z c Let w = 0.07 + -1.85. Let j = 2.28 + w. Let n = 2 + -1. Which is the smallest value? (a) -1/3 (b) j (c) n a Let u be ((-54)/189)/(12/(-63)). Which is the third biggest value? (a) -3 (b) 0.51 (c) 4 (d) u b Let t = -5.715 - -5.695. Let z = 9 - 8. What is the biggest value in -3/8, t, z? z Let o = -4.87 - 0.13. Let t = 0.528566 + -0.028566. Which is the biggest value? (a) o (b) t (c) -98 b Let q = 1 - 3. Let g = 278.354 - 278. Let d = g - -0.046. What is the biggest value in q, d, 4? 4 Let b = -3352.4 - -3351. What is the smallest value in -0.3, -2.9, b? -2.9 Let a(x) = 23*x + 322. Let t be a(-14). What is the third smallest value in -2, -0.05, t, -1/2? -0.05 Let z = 1655 + -1663.99. Let p = 3.99 + z. What is the second biggest value in -0.4, p, -9/8? -9/8 Let w = -801 - -799.2. Suppose 0 = 2*s + 3*b + 1 + 15, -4*s = -5*b - 12. What is the third biggest value in s, -2/7, w? s Let i = -31/14 + 26/7. What is the second smallest value in 0.2, i, 2/11? 0.2 Let p = 0.034 + 19.966. Let t = p - 23. Let v = -46 - -46. What is the third smallest value in v, t, 2/3? 2/3 Suppose 6*z = 27 - 3. Let k = 5.5 - 13.5. What is the biggest value in 3, z, k? z Suppose -2*y + 8 = -0*y. Let b be (15/45)/((-20)/144*-6). What is the third biggest value in y, 2/7, b, 2? b Let x(q) = 2*q**3 + 4*q**2 - 2*q - 2. Let h be x(3). Let o = 82 - h. Let z = -61/2 + 30. Which is the smallest value? (a) z (b) o (c) -1 c Let z be (-27)/(-48)*(-56)/42 + -2. What is the smallest value in -1/8, z, 5, 2? z Let o be 0 + (-4)/30 - 372/(-23715). What is the second smallest value in 20, 3/5, -1/5, -5, o? -1/5 Suppose s = -2*r + 9 - 21, -r = 2*s + 15. Which is the second biggest value? (a) s (b) 64 (c) -2/7 c Let p(q) = 39*q**3 - 11*q**2 + 2*q - 19*q**3 - 18*q**3 - 9 + 5*q. Let i be p(5). Let j = -65 + 54. What is the second biggest value in 0, i, j? 0 Let m = -4345 + 4341. Which is the fourth biggest value? (a) m (b) 2/45 (c) -3 (d) -5 d Let x = 0.44 - 0.5. Let r = x + 4.06. Let m = 837 + -834. Which is the third smallest value? (a) 3/4 (b) m (c) 2/5 (d) r b Let r be 8/14 - (-272)/112. Suppose -s = -5*u - r*s - 13, 0 = 2*u - 3*s + 9. Which is the second biggest value? (a) u (b) -2/11 (c) -1/3 c Let x(f) = 36 - 9 + 13*f - 49 - 52. Let n be x(6). What is the third biggest value in -0.052, n, -1? -1 Let h = -84630 - -84629.7. Let o(t) = t**2 + 1. Let m be o(-4). Which is the third smallest value? (a) m (b) h (c) -1/6 (d) -3 c Let n = 1.91 - 6.91. What is the third biggest value in 495, n, -10? -10 Let j = -7.7 - -8. Let q be ((-1)/(-3))/(2/12). Let m be (-2)/(6/12*q). Which is the third smallest value? (a) 0.5 (b) m (c) j
{ "pile_set_name": "DM Mathematics" }
((-25)/7)/g. What is the biggest value in 3, f, -3? 3 Let w = -153 + 173. Suppose 2*q + v = 5, -q - 4*v + w = q. Let i = -1108 + 21058/19. What is the second biggest value in q, 3, i? i Let d be 1/39*9 - 5 - -5. Let k = -0.1 - -5.5. Let g = k + -5. What is the smallest value in d, g, 2? d Let k = -0.007 + -4.993. Let d = 0.02 - 3.02. Let z = d - k. Which is the third biggest value? (a) z (b) -0.3 (c) 1 b Let j = -8 + 17/2. Let k = -171 - -42. Let z = k + 519/4. What is the third smallest value in z, -3, j? z Let x = 1969 - 1980. Let n = 4.4 + -4. Which is the smallest value? (a) x (b) -0.3 (c) n a Let k = -453/7 + 65. Let y be 15/189 + 48/(-216). What is the biggest value in k, -0.2, y? k Let c = 1.68 - 1.28. What is the second biggest value in -2/3, -2, c, 0.25? 0.25 Let q = 2.082 + -2.382. What is the second smallest value in q, 3, 280, 1? 1 Let r = -0.029 - 13.871. Which is the fourth smallest value? (a) 3 (b) r (c) -0.4 (d) -3 a Let l = -462/5 - -92. Suppose 4*d - 16 = 5*k, 5*k + 2*d - 3*d + 4 = 0. Let t = k - -4. What is the smallest value in l, -0.1, t? l Let d be -1 - ((-21)/56 - (-308)/(-288)). Let q = 81 - 727/9. What is the fourth smallest value in d, 0.3, q, 3? 3 Let c = 3.9 + 18.1. Let t = -21 + c. Let z = 0.04 - -3.96. What is the biggest value in z, t, 0.5? z Let a = 5.8 + -5.4. What is the third biggest value in -0.02, 0.3, a, -2? -0.02 Let o = 3.99886 - -0.00114. Let u = -0.1 + -1.9. Which is the third smallest value? (a) o (b) -0.6 (c) u a Let h = -68 + 71. What is the second smallest value in h, -3, 4, 2? 2 Let q = 239 + -241. Which is the third smallest value? (a) 7 (b) -8 (c) q (d) -0.5 d Let s = 15 + -14.8. Suppose -14*d + 46 = 144. Let m = 42/5 - 892/105. What is the second biggest value in d, s, m? m Let p = 402 + -6032/15. Which is the second biggest value? (a) p (b) 1 (c) 0 c Let b = 0.365 + -0.065. What is the fourth smallest value in 2/3, -19, -0.4, b? 2/3 Let c = -0.368 + 0.068. Let l be 39/21 - (-2)/(-1). What is the second smallest value in l, 3, c, 9? l Let b = -27.3 - -27.1. What is the second biggest value in 4, b, -3/2? b Suppose 0 = -2*l + 6*w + 32, 2*l - w + 0 = 2. Suppose -i + 4 = 3*s, i = -4*s - 0*i + 5. Which is the third smallest value? (a) -2.6 (b) l (c) s c Let r = -41.7 + 39.7. Which is the third biggest value? (a) r (b) 2/5 (c) -12 c Let x = -0.697 + -0.303. Which is the fourth biggest value? (a) -3 (b) x (c) 4 (d) 0.09 a Let a = -0.2 + -0.3. Let m = -13 - -16.9. Let d = -0.9 + m. What is the second biggest value in 0.5, d, a? 0.5 Let w(o) = -2*o + 35. Let t be w(13). Let j be (-30)/t + (2 - -1). Let d = -2 - -4. What is the smallest value in 4/7, d, j? j Let p = -2 - -2. Let l = 2 + p. Let j = -1361.4 + 1361.2. What is the second smallest value in -5, l, j? j Let k = 79 - 552/7. Let j be (-3)/4 + 1 + -1. Suppose -m + 40 = 6*x - x, 3*x = m + 16. Which is the third biggest value? (a) j (b) k (c) x a Let w = 0.019 - 22.019. Let q = -23 - w. Let p = -3 + 3.5. Which is the second biggest value? (a) 0 (b) q (c) p a Let u(h) = 3*h**2 - 2*h - 1. Let x be u(-1). Let z = 3 - 0. Let f = 90 - 91. What is the third biggest value in x, f, z? f Let f = -625.1 - -625. What is the third smallest value in f, 0, -5, 3/2? 0 Let d = 1/1286 - 2575/3858. Let s be 1/2*(-6)/5. What is the smallest value in s, 5, d? d Let s = -0.012 + -0.288. Let q = -13 + 14. Which is the third smallest value? (a) -2 (b) 5 (c) q (d) s c Let y = -0.242 - 0.058. Which is the second biggest value? (a) 2 (b) 0 (c) -0.9 (d) y b Let p be -3 + 3 + 4/6. Let v = 36.1 - 33.1. Which is the second smallest value? (a) 0.5 (b) v (c) p c Let c = 1856/1525 + -84/61. What is the second smallest value in c, -5, -3? -3 Let n be 0 - 0/1 - 4. Let p = n - -1. Which is the biggest value? (a) p (b) -1/3 (c) 1/2 (d) -5/3 c Let q be 2/(-17) - (-117)/(-884). What is the second smallest value in q, 1, 6/7? 6/7 Let o be 4/(-8) + 0 + 2. Let m be (1/2)/(6/12). Let z = m + -2. Which is the biggest value? (a) o (b) 2 (c) z b Let h(g) = g**3 + 4*g**2 + 5*g + 4. Let x be h(-2). Let w be ((-25)/10 - -4)*x. Which is the smallest value? (a) -11 (b) w (c) -0.2 a Let s = 0.36 - -0.04. Let o = -9/10 - -2/5. What is the smallest value in s, -0.2, o, -6? -6 Let f = 487/15794 + -6/149. Let w = f + 227/1590. What is the biggest value in w, 0.8, -4? 0.8 Let j = -1.2 - 0.8. Let c = 3 - 5. Let r be (c/4)/((-2)/20). What is the second biggest value in -1, j, r? -1 Let w = 0.2 - 2.2. Which is the third smallest value? (a) 2 (b) 0.07 (c) w a Suppose 146 = -p + 141. Let o = -3 + 4. What is the third biggest value in o, p, -3/5? p Let j = 1 + -0.7. Suppose 3*t - 13 = 4*p, -4*p - 7 = t - 2*t. Let v be -5 + p*(-4)/(-2) + 3. What is the third biggest value in j, v, 3? v Let h = 1804 + -1806. What is the biggest value in 1/2, h, 4, 0.3? 4 Let p = 198 - 1382/7. Let o = 6.008 + -5.908. What is the fourth smallest value in 0.4, o, p, -1/2? p Let m be 10/12*(-44)/(-330). What is the biggest value in 2, m, 0? 2 Let m(x) = -x**3 + 7*x**2 + 35*x - 7. Let f be m(11). Let l = f - -109. Let r = -0.2 + -0.3. Which is the biggest value? (a) -2 (b) l (c) r b Let y = -2.9 + -0.1. Let h(l) = -6*l + 27. Let g be h(4). Which is the smallest value? (a) g (b) y (c) -0.1 b Let v = 176.7 + -289.6. Let q = -113 - v. Let c = 1/2 - 1/4. What is the second smallest value in q, -5, c? q Let d be ((-49)/14 - -2)/(21/(-4)). What is the biggest value in 8, 0, d? 8 Let p be (-4)/7 - (330/(-77) - -4). Which is the biggest value? (a) 282 (b) p (c) -3 a Let j be 805/1785 - 4/34. What is the third smallest value in j, 1.8, 4, 2? 2 Suppose 5*v = 6*v + 63. Let c = 691/11 + v. Let b = 177/8 + -22. What is the biggest value in b, 7, c? 7 Suppose 4*w + 2 = -3*x, 2*w = -4*x + 2*x - 4. Which is the third biggest value? (a) 5 (b) x (c) -26 (d) 1 b Let v be (-1 - 1 - 0) + 2. Suppose v = -a - 0*a. Let t(s) = -s**2 - 4*s + 4. Let i be t(-4). What is the smallest value in -0.3, i, a? -0.3 Let m be (45/(-9) - -5) + (-4)/14. Which is the second smallest value? (a) 0.2 (b) 0.01 (c) m b Let g be ((-8)/(720/81))/((-3)/5). What is the biggest value in 5, g, -0.2, 3? 5 Suppose -k - 23 = -5*j, -k = 4*j + 8 - 30. Let x be (-20)/(-30)*(-1)/j. Which is the third biggest value? (a) -5/6 (b) x (c) -0.3 a Let b = -0.0004 - 0.0096. What is the third biggest value in 0.4, 2/49, b? b Let d be 3/4 - 63/(-108). What is the third smallest value in 4, -9, d, 5? 4 Let r = 0.1219 - 0.2219. Let h = -158.61 + 142.7. Let g = h - -16. Which is the biggest value? (a) r (b) g (c) 2 c Let a = -1212.71 + 1225. Let b = -0.29 + a. Let l = 15 - b. What is the smallest value in l, 0.1, 0? 0 Let g = -699.7 - -731. Let q = -19 - -50. Let n = q - g. What is the third biggest value in 3, 1/7, n? n Suppose -32 - 234 = -19*l. Let r(n) = 1. Let v(o) = -o**2 - o + 5. Let h(m) = -6*r(m) + v(m). Let z be h(0). Which is the smallest value? (a) z (b) -3 (c) l b Let z = -23 - 79. Let n = z - -99. Which is the third biggest value? (a) -5 (b) n (c) -0.04 a Let s be (6/(-18))/((-2)/4). Let i = -112 - -107. Which is the second biggest value? (a) -0.4 (b) s (c) i a Suppose 38 - 20 = 3*c. Let o be c/8 - -3 - 3. Let l = -0.29 - -0.2. What is the third smallest value in 4, l, o? 4 Let u = -0.6 + 0.5. Let f = u + 0.3. Let r = 0.19 + -0.69. Which is the biggest value? (a) -5 (b) f (c) r b Let t = 5/8 + -9/40. Let d = 61 + -38. Let l = 16 - d. Which is the second smallest value? (a) l (b) 3/5 (c) t c Let l = -12.74 - -13.74. Which is the second biggest value? (a) -3.3 (b) l (c) -1/4 c Let j = -45.1 - -41. Let o = j - -4.2. Which is the biggest value? (a) o (b) 5 (c) -20 b Suppose -2*o = 2*o - 16. Suppose 2 = -2*q + 3*j, o*q = 7*j - 2*j. Suppose -q*t - 45 = -10. What is the biggest value in -2, t, 1/5? 1/5 Let t = -0.2 + -0.1. Let m = -0.1006 + 16.1006. Which is the smallest value? (a) t (b) 0 (c) m a Let w be ((-3)/(-63))/((200/(-48))/(-25)). What is the third smallest value in 4/5, -15, 0.1, w? w Let g = 0.37 + -9.37. Let s = -10 - g. What is the third smallest value in 3/7, s, 0? 3/7 Let k = 1.57 + -1.7. Let g = 2.39 - 1.26. Let b = g + k. What is the second biggest value in -2, 2, b? b L
{ "pile_set_name": "DM Mathematics" }
0 divided by 5. 842852 Calculate -2471 divided by 7. -353 Calculate -259888 divided by 7024. -37 Calculate -381563 divided by -29351. 13 Calculate -1875 divided by 375. -5 Calculate 0 divided by -6269. 0 Calculate 7687 divided by 140. 7687/140 Calculate -190 divided by -39. 190/39 Divide -4 by 1429. -4/1429 Divide 48 by -4276. -12/1069 What is -3221880 divided by 5? -644376 What is -16 divided by -782? 8/391 -106 divided by -190 53/95 16602 divided by 15 5534/5 Divide 7172 by -45. -7172/45 Divide -2 by -435087. 2/435087 Calculate -2325 divided by -10. 465/2 Divide -555185 by 3001. -185 Divide 51726 by 466. 111 What is -47 divided by -7891? 47/7891 -4 divided by -8480 1/2120 What is -3 divided by -50812? 3/50812 What is 2 divided by 624000? 1/312000 Divide -89293 by 5. -89293/5 Divide 14565 by 143. 14565/143 -209 divided by 1005 -209/1005 Divide 208012 by -92. -2261 323415 divided by 64683 5 Divide 0 by 14499. 0 1855 divided by -3 -1855/3 Calculate -5 divided by 10273. -5/10273 -237918 divided by -2 118959 14145 divided by 2829 5 -20572 divided by 4 -5143 0 divided by -1539 0 25564 divided by -3652 -7 498240 divided by -8 -62280 Calculate -17925 divided by -4. 17925/4 2 divided by -5580 -1/2790 Divide 180986 by -26. -6961 Divide 327222 by -2597. -126 -128899 divided by -4 128899/4 Calculate 1045 divided by -1612. -1045/1612 Divide 31252 by 2404. 13 What is -182 divided by 466? -91/233 Calculate 7036217 divided by -33347. -211 What is -150732 divided by 4? -37683 What is 50 divided by 69894? 25/34947 Calculate 55608 divided by 18536. 3 Calculate 6126 divided by -2042. -3 Calculate -11369 divided by 409. -11369/409 Calculate -186663 divided by -43. 4341 What is -520 divided by -5? 104 Divide -3029 by -4. 3029/4 Calculate -5 divided by -4244. 5/4244 16309 divided by -2 -16309/2 -5 divided by 23250 -1/4650 What is -81408 divided by -256? 318 What is -5 divided by 76733? -5/76733 What is -1219 divided by 3789? -1219/3789 Calculate -1 divided by 187995. -1/187995 42053 divided by -3823 -11 9 divided by 3224 9/3224 -4260 divided by -23 4260/23 Divide -871290 by -27. 32270 Divide -1925 by -183. 1925/183 Calculate 2 divided by 334852. 1/167426 Calculate 0 divided by 725595. 0 Calculate 36933 divided by -39. -947 445650 divided by -6 -74275 What is -175002 divided by 6? -29167 What is 5 divided by -67043? -5/67043 -4100612 divided by -1025153 4 Calculate 5486 divided by -2743. -2 122764 divided by -2 -61382 Divide -239370 by 2. -119685 7 divided by 102 7/102 What is 2230255 divided by 4? 2230255/4 Calculate 10 divided by 7200. 1/720 Calculate -66128 divided by -33064. 2 What is 2402628 divided by -3462? -694 Calculate 4 divided by -10610. -2/5305 Divide 92337 by -3. -30779 842500 divided by -100 -8425 What is -273923 divided by -247? 1109 Divide 418320 by -1494. -280 223 divided by 988 223/988 Calculate -242816 divided by -34688. 7 Calculate 17844 divided by 4. 4461 -62 divided by 107775 -62/107775 Divide -110760 by -8. 13845 What is 12960 divided by -405? -32 Divide 120121 by -6. -120121/6 10778 divided by -63 -10778/63 590095 divided by 118019 5 What is -143 divided by -305? 143/305 What is 1482551 divided by -2? -1482551/2 Calculate -17 divided by -5872. 17/5872 Divide 1693675 by -5. -338735 What is 4112 divided by 539? 4112/539 -166392 divided by 3 -55464 What is -2 divided by 123921? -2/123921 Calculate -27624 divided by 9208. -3 Calculate 1 divided by 321. 1/321 226563 divided by -1 -226563 -3671116 divided by -215948 17 -4606 divided by 313 -4606/313 What is -661227 divided by -851? 777 What is -1561 divided by -216? 1561/216 Calculate 4703 divided by -13. -4703/13 What is 35262 divided by -11754? -3 -1578346 divided by 1939 -814 What is 1109736 divided by -6? -184956 Divide -9 by -932. 9/932 -130653 divided by -43551 3 Calculate 579576 divided by 186. 3116 Divide -82 by -1756. 41/878 Calculate 66356 divided by 1252. 53 Calculate 47190 divided by -130. -363 Divide 150050 by 75025. 2 What is -2328950 divided by -65? 35830 Calculate -3285 divided by 45. -73 -11644 divided by -4 2911 Calculate -26271 divided by 8757. -3 Divide 4 by -481995. -4/481995 -45325 divided by -175 259 Divide 24543 by 46. 24543/46 Divide -13636 by 8. -3409/2 What is 16717 divided by -16717? -1 What is -3 divided by -83054? 3/83054 What is -4504 divided by 8? -563 What is 3 divided by 87258? 1/29086 Divide 2989080 by 184. 16245 What is 6398 divided by -1? -6398 Calculate 4457 divided by -30. -4457/30 Divide 1 by -13528. -1/13528 Calculate -4108230 divided by 35. -117378 What is 321 divided by 6575? 321/6575 Divide -427 by -353. 427/353 -5 divided by 823849 -5/823849 Divide 243671 by 8. 243671/8 Calculate -11 divided by 1156. -11/1156 What is 14478 divided by -130? -7239/65 -4820 divided by 964 -5 What is -2720 divided by -85? 32 5 divided by 146061 5/146061 Divide 889736 by -111217. -8 Calculate 29618 divided by 502. 59 Divide 6970 by -2. -3485 Calculate -1 divided by 211812. -1/211812 -1209440 divided by 1 -1209440 7822 divided by 11 7822/11 What is 2764 divided by 691? 4 -7 divided by -139 7/139 What is 132192 divided by -3672? -36 13712 divided by -16 -857 What is 9573 divided by -48? -3191/16 What is -85660 divided by 42830? -2 Calculate 30511 divided by 20. 30511/20 -226928 divided by 56732 -4 Divide 7 by -55895. -1/7985 What is -23 divided by 7878? -23/7878 Divide 1 by 10054. 1/10054 Calculate -2462400 divided by -2052. 1200 6032 divided by 12 1508/3 Calculate 7379105 divided by 5. 1475821 -265664 divided by -224 1186 Divide -2971 by 1. -2971 Calculate -2823479 divided by 5. -2823479/5 Calculate -75532 divided by -37766. 2 Calculate -337340 divided by 10. -33734 Calculate -265302 divided by -54. 4913 What is -123 divided by 216? -41/72 31 divided by -177690 -31/177690 -404 divided by -8 101/2 -2321486 divided by 1160743 -2 What is -896 divided by 76? -224/19 Divide -144192 by -1. 144192 Divide -158040 by 8780. -18 Divide -1435670 by -287134. 5 What is -235250 divided by 5? -47050 2 divided by 7957 2/7957 What is 19138 divided by -6? -9569/3 Divide 270156 by 270156. 1 What is -94039 divided by 913? -103 What is -58835 divided by 7? -8405 Calculate 297891 divided by 33. 9027 185 divided by 2936 185/2936 Calculate -15096 divided by 629. -24 21857 divided by 1 21857 Divide 23587 by -1. -23587 Divide 300403 by 13061. 23 280140 divided by 10005 28 Calculate 12603 divided by -3. -4201 Calculate 659344 divided by 784. 841 54604 divided by -1606 -34 37600 divided by -1 -37600 Calculate 4219 divided by -99. -4219/99 Divide -62104 by 62104. -1 Calculate -68820 divided by -444. 155 What is 381085 divided by 76217? 5 Calculate -89069 divided by -89069. 1 Divide -6 by 83628. -1/13938 -258728 divided by -32341 8 1060917 divided by 13 81609 161100 divided by -895 -180 -18344 divided by 49 -18344/49 Calculate 261 divided by 1837. 261/1837 What is 59976 divided by 14994? 4 Calculate 58 divided by 377. 2/13 Calculate 15810 divided by -2635. -6 -1049056 divided by 131132 -8 What is -3082365 divided by 11? -280215 Divide 698756 by 292. 2393 Divide -424 by 16. -53/2 What is 1590510 divided by 1? 1590510 66872 divided by -4 -16718 277795 divided by -2 -277795/2 5 divided by -1832 -5/1832 Calculate 3485 divided by 211. 3485/211 5 divided by -170393 -5/170393 Calculate -13 divided by 851. -13/851 What is 280238 divided by 541? 518 Divide 616440 by 10274. 60 Calculate 3215994 divided by 3. 1071998 Divide -4838 by 118. -41 2233530 divided by -446706 -5 Divide 36 by 322. 18/161 What is -83934 divided by 4663? -18 Calculate 377508 divided by 386. 978 What is 3352536 divided by -16434? -204 What is 4210525 divided by 842105? 5 What is 1 divided by -91196? -1/91196 Divide -6840 by -18. 380 What is -28280 divided by 2? -14140 What is 0 divided by 15032? 0 Divide 4 by 408442. 2/204221 What is -3 divided by 1480129? -3/1480129 Calculate 9774 divided by -9. -1086 What is -37412 divided by 398? -94 Calculate 3116463 divided by -3. -1038821 What is 25900 divided by -140? -185 Divide 13 by 50607. 13/50607 Calculate -437826 divided by -437826. 1 What is -118054 divided by 881? -134 -235730 divided by -11 21430 Divide -61488 by 21. -2928 Calculate 4 divided by 21784. 1/5446 4 divided by -76955 -4/76955 Wh
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence nnh? 14/429 Two letters picked without replacement from ccckeeecueukeuccuke. Give prob of sequence ue. 4/57 What is prob of sequence bkfz when four letters picked without replacement from {k: 2, f: 2, z: 1, b: 4, s: 1}? 1/315 Calculate prob of sequence ue when two letters picked without replacement from {k: 1, j: 1, y: 1, u: 2, t: 1, e: 2}. 1/14 Four letters picked without replacement from eethhthqtzheez. What is prob of sequence hqth? 3/2002 Calculate prob of sequence wwa when three letters picked without replacement from wwobagg. 1/105 Four letters picked without replacement from {s: 2, p: 3, h: 13}. Give prob of sequence spph. 13/6120 Four letters picked without replacement from cceeccegcececeegcccc. What is prob of sequence gcce? 77/5814 Calculate prob of sequence rnn when three letters picked without replacement from {n: 3, r: 2}. 1/5 Two letters picked without replacement from {t: 6, n: 1, m: 1, e: 6, l: 5, o: 1}. Give prob of sequence el. 3/38 What is prob of sequence alva when four letters picked without replacement from {l: 6, a: 4, v: 2}? 2/165 Two letters picked without replacement from gvfgvebggvgvvbebtgbe. Give prob of sequence gf. 3/190 Calculate prob of sequence fcq when three letters picked without replacement from {a: 1, f: 1, z: 7, q: 1, c: 3}. 1/572 What is prob of sequence zyy when three letters picked without replacement from {z: 11, y: 9}? 11/95 Calculate prob of sequence aaj when three letters picked without replacement from {o: 7, a: 2, j: 3}. 1/220 Three letters picked without replacement from {z: 3, l: 1, g: 5, s: 4, n: 4, j: 3}. Give prob of sequence jgs. 1/114 Calculate prob of sequence gga when three letters picked without replacement from teeggeaaeaeaeg. 1/91 Calculate prob of sequence eeez when four letters picked without replacement from {z: 8, e: 3, x: 7}. 1/1530 What is prob of sequence vap when three letters picked without replacement from zzzpeazzezzzzvzvzz? 1/2448 Four letters picked without replacement from qttqsqstqssq. Give prob of sequence ttst. 1/495 Calculate prob of sequence bxbu when four letters picked without replacement from buxxbuuuxububab. 1/91 Three letters picked without replacement from {e: 3, j: 1, v: 1}. What is prob of sequence eje? 1/10 Three letters picked without replacement from {w: 5, k: 2, i: 2, v: 4, p: 1, s: 1}. What is prob of sequence vwp? 2/273 What is prob of sequence oo when two letters picked without replacement from {f: 5, c: 2, o: 8}? 4/15 Calculate prob of sequence kpyy when four letters picked without replacement from {u: 2, y: 6, p: 2, k: 1}. 1/132 Calculate prob of sequence hkn when three letters picked without replacement from enneehkenne. 2/495 What is prob of sequence wc when two letters picked without replacement from wwwwcwwwwwc? 9/55 Calculate prob of sequence pjaj when four letters picked without replacement from jpaapjpa. 3/280 Four letters picked without replacement from ieeejjeeejjjjie. Give prob of sequence ijje. 1/78 Two letters picked without replacement from pcaakcpsl. Give prob of sequence lp. 1/36 Four letters picked without replacement from {d: 2, n: 5, y: 3, u: 5}. What is prob of sequence duyy? 1/546 Four letters picked without replacement from nyzyzynyz. What is prob of sequence znyn? 1/126 Calculate prob of sequence xvw when three letters picked without replacement from vwwwwvwxwwvwwwww. 3/280 Three letters picked without replacement from {m: 1, s: 1, a: 1, k: 2, b: 1, r: 1}. What is prob of sequence mkk? 1/105 Two letters picked without replacement from {k: 3, h: 1, x: 3}. Give prob of sequence kh. 1/14 What is prob of sequence eu when two letters picked without replacement from {n: 2, s: 1, e: 1, u: 1, c: 1, x: 2}? 1/56 Two letters picked without replacement from {f: 4, x: 3, e: 13}. Give prob of sequence fe. 13/95 Calculate prob of sequence nka when three letters picked without replacement from fknfka. 1/60 What is prob of sequence oohi when four letters picked without replacement from ooihhooohoiio? 63/2860 Four letters picked without replacement from ccuouuucuuuluuc. What is prob of sequence colu? 1/910 Three letters picked without replacement from kfoweoa. What is prob of sequence oek? 1/105 What is prob of sequence wwv when three letters picked without replacement from {m: 2, v: 1, w: 2}? 1/30 Calculate prob of sequence mott when four letters picked without replacement from {p: 2, t: 2, o: 3, m: 2, h: 4, n: 3}. 1/3640 Three letters picked without replacement from jpjwjlwpj. What is prob of sequence wjl? 1/63 Four letters picked without replacement from {t: 1, z: 1, s: 1, f: 2, n: 1, u: 1}. What is prob of sequence uusn? 0 Calculate prob of sequence rr when two letters picked without replacement from {r: 7, w: 9}. 7/40 Four letters picked without replacement from qszzshziizzi. What is prob of sequence sqsi? 1/1980 Three letters picked without replacement from lglllllllliyyllgygly. Give prob of sequence lyl. 22/285 What is prob of sequence mm when two letters picked without replacement from {o: 1, m: 3, c: 1}? 3/10 Calculate prob of sequence smm when three letters picked without replacement from kmkssmmkmkkmskmmks. 7/204 Four letters picked without replacement from {s: 4, q: 6, d: 5, g: 1}. What is prob of sequence qgqs? 1/364 What is prob of sequence aau when three letters picked without replacement from {u: 14, a: 5}? 140/2907 Four letters picked without replacement from {y: 10, e: 10}. What is prob of sequence eeee? 14/323 Calculate prob of sequence pm when two letters picked without replacement from mmmmmmmmpmmmpmmmpm. 5/34 What is prob of sequence xxmn when four letters picked without replacement from xnnmnxn? 1/105 What is prob of sequence qqoq when four letters picked without replacement from oqqqqoqqqqqqqqqqqq? 14/153 Three letters picked without replacement from twtkiktwtkitikk. What is prob of sequence twi? 1/91 Four letters picked without replacement from pjkmkaazjpkmzkzm. Give prob of sequence mjak. 1/910 What is prob of sequence vv when two letters picked without replacement from vvvllv? 2/5 Three letters picked without replacement from {g: 5, a: 3}. Give prob of sequence gaa. 5/56 Three letters picked without replacement from {r: 2, x: 2}. What is prob of sequence xxr? 1/6 Two letters picked without replacement from {b: 13, i: 3}. Give prob of sequence ii. 1/40 Calculate prob of sequence uw when two letters picked without replacement from yhuwcwyywyw. 2/55 Calculate prob of sequence gwgg when four letters picked without replacement from ggggwggwgw. 1/8 Calculate prob of sequence vvf when three letters picked without replacement from {f: 3, z: 1, v: 3, b: 3}. 1/40 What is prob of sequence vv when two letters picked without replacement from vvvv? 1 Two letters picked without replacement from {o: 5, n: 7, b: 3, p: 2, e: 1}. Give prob of sequence eb. 1/102 Three letters picked without replacement from {h: 2, a: 3, b: 1, c: 2, s: 1, m: 6}. Give prob of sequence mhm. 2/91 What is prob of sequence nmmv when four letters picked without replacement from ummvnvmvvmvmnmmnvmm? 9/646 What is prob of sequence bj when two letters picked without replacement from bbgkkkgbkieejb? 2/91 Calculate prob of sequence ts when two letters picked without replacement from vpqttpsyvvp. 1/55 Two letters picked without replacement from otnoppplto. Give prob of sequence to. 1/15 Four letters picked without replacement from dddktxkxd. Give prob of sequence tdkk. 1/378 Calculate prob of sequence hu when two letters picked without replacement from chxuu. 1/10 Three letters picked without replacement from cfaff. Give prob of sequence fac. 1/20 What is prob of sequence lr when two letters picked without replacement from {r: 1, l: 17}? 1/18 Four letters picked without replacement from {w: 1, z: 1, c: 1, i: 1, j: 1}. What is prob of sequence zwjz? 0 Four letters picked without replacement from llleleeheehelheel. What is prob of sequence ehhl? 3/595 Two letters picked without replacement from {f: 4, w: 3, u: 4}. Give prob of sequence uu. 6/55 Two letters picked without replacement from izzscvizz. Give prob of sequence ss. 0 Four letters picked without replacement from {z: 1, t: 3, w: 8, n: 2, d: 5}. Give prob of sequence dwwz. 35/11628 Wha
{ "pile_set_name": "DM Mathematics" }
= 46395*a for o. 2 Solve 4*x + 12 = -2*d, 5*d + 82*x + 17 = 85*x for d. -4 Solve 0 = 4*w - 3*j - 41, -5*w + 335 - 265 = -5*j for w. -1 Solve f + 81 = 19*n, 3*f - 174*n + 179*n - 5 = 0 for f. -5 Solve -5*c + 44*t = 40*t - 41, 37 = 5*c - 3*t for c. 5 Solve -5*v + 199*z = 201*z + 2, 0 = 4*v + z + 1 for v. 0 Solve -16 = -3*i - 2*a, -4*i + 3395 = -3*a + 3385 for i. 4 Solve 0 = 3*h - 0*h - 9, 0 = 2*x + 10*h - 34 for x. 2 Solve -5*a + 10 = 0, 21*o - 10*a = 31*o - 15*o for o. 4 Solve -212*z = -209*z + 2*l - 20, 0 = -3*z - l + 16 for z. 4 Solve x = -8*u + 6*u + 5, -5*u - x = 4 for u. -3 Solve 0 = 3*x + s - 9, 6942*x + 2*s = 6945*x - 27 for x. 5 Solve 4*j - 12 = 2*t, -2*t = -3*t - 5*j + 1 for t. -4 Solve 2*x = 12, -2765*x = 4*h - 2763*x + 4 for h. -4 Solve 36 = -6*v + 3*c, -v - 3*c = 705 - 713 for v. -4 Solve 0 = 5*u + 4*i - 25, 29*i - 24*i = -9*u + 45 for u. 5 Solve -12 = 3*z + 2*t, -32*z + 34*z + 13 = -3*t for z. -2 Solve -5*t + 25 = -5*u, 4 = t + u - 1 for t. 5 Solve c + 18 = 5*g, 0 = 2*g + 4*c - 8 + 14 for g. 3 Solve 2*a - 52 = -3*d - 71, a + 11 = -3*d for a. -8 Solve 8 = -2*r - 3*c, -4*r - 972*c + 2 = -969*c for r. 5 Solve -d = -4*q + 16, 177*q - 180*q = -3*d - 21 for q. 3 Solve 2*a + 4*k + k = 8, -5*a - 15 = -5*k for a. -1 Solve 0 = 5*j - 5*p + 35, -5881*j - 23 = -5878*j - 4*p for j. -5 Solve -176*p = -4*a - 173*p + 8, 2*a + 3*p = -14 for a. -1 Solve 2*j - 12*y = -14*y, -3 = j + 2*y for j. 3 Solve -3*f - 13 = -2*z, z - 58*f + 60*f = -4 for z. 2 Solve -9 + 46 + 29 = -3*n + 6*a, 4*a - 31 = -11 for n. -12 Solve l + 2*v + 12 - 14 = 3*v, -3*v = 3 for l. 1 Solve 0 = -2*x - 4*a + 4, -56 = -134*x + 130*x + 4*a for x. 10 Solve 10*a + 5*u - 70 = 0, -a + 12955*u = 12954*u - 13 for a. 9 Solve -5*p = 3*i + 6, 3*i + 9470*p + 6 = 9472*p for i. -2 Solve 5*y - 847 = -867, -y = 5*x - 21 for x. 5 Solve -16 = 13*c - 8*c + 2*h, 0 = -2*c - 4*h - 16 for c. -2 Solve 16213*g = 16208*g + 4*z - 6, -2*g - 4*z = 8 for g. -2 Solve 2*c - 9*i - 5 = 0, 16 = -4*c - i + 7 for c. -2 Solve -6*w + 6*i + 114 = 0, 3*w + 106 = i + 163 for w. 19 Solve -2*x = 5*v + 43, 25728*x + 23 = 25724*x - 3*v for x. 1 Solve -15*p + 20*p - 5 = 6*f, -8 = -3*f + p for f. 5 Solve 0 = 5*b + r + 120, -27 - 69 = 4*b - 7*r for b. -24 Solve 3*s - 3*x + 44 = 32, -3*x = -5*s - 18 for s. -3 Solve 13*m + 27 = 2*v, 484*v + 9 = 485*v - 5*m for v. -6 Solve 3*a - 607 = 5*g - 624, -7*g - 4*a = 9 for g. 1 Solve 5*a + 5*l = 50, 3*a - 79*l = -81*l + 25 for a. 5 Solve -46 = -4*s - 5*m - 41, 0 = -3*s - 3*m for s. -5 Solve -8 = 4*s - 46*d + 42*d, 2*s - 6*d = -4 for s. -2 Solve 3*g = 35*s - 205, -2*s + 26 = -5*g - 34 for g. -10 Solve 0*p + 4*s = 2*p - 14, -5*s = 20 for p. -1 Solve 5*f - 2*v + 26 = 0, 5*v - 15088 = 4*f - 15074 for f. -6 Solve 2*u + 4 = -4*f, 1073 - 1087 = 5*u + 14*f for u. 0 Solve -3*s + 3*k + 9 = 0, -678*k - 22 = -4*s - 679*k for s. 5 Solve 0 = -2*t + 3*d - 17, 5*t + 944*d + 53 = 941*d for t. -10 Solve 7*z - 3*k - 37 = 0, 4*z - 31 = 16*k - 11*k for z. 4 Solve -2*v + 11 = l, 7*v - 13 - 15 = 0 for l. 3 Solve -4*r - 4*c - 136 = 0, -4*r - c + 416 = 465 for r. -5 Solve 8*g = 13*a + 17*a - 28*a - 4, -3*a = 42 for g. -4 Solve 12*f - 7*f + 13 = 2*s, -7 = -2*s - f for s. 4 Solve 3*b + 21 = -3*x, -5*b = -3*x - 37 + 104 for x. 4 Solve 3*d + 11 = 475*y - 474*y, -4*d = -3*y + 18 for d. -3 Solve -565*m + 35 = -5*x - 569*m, -x = m + 7 for x. -7 Solve 4*r = 3*r - 3*i + 6, 4*i + 5*i = -2*r + 5*r for r. 3 Solve -2*z + 15 = 5*r, -4*r - 4327 + 4347 = 0 for z. -5 Solve 0 = -7386*x + 7387*x + 3*w + 10, 3*w = -3*x - 18 for x. -4 Solve 4*v = 2*p, -9*v - 20*v + 61 = -28*p - 34*v for p. -2 Solve -2*b - v = -13, 27109*b + v = 27112*b - 12 for b. 5 Solve 0 = -4*r - 4*t - 36, 2*r + 23*t - 19*t = -24 for r. -6 Solve 5*g - 2*d = -46, 8*g - 142 = -4*d - 194 for g. -8 Solve 46*t - 5*j = 47*t + 11, 0 = -5*j - 15 for t. 4 Solve 112 = s + 7*g + 137, -4*g - 16 = s for s. -4 Solve -4*v + 32 = -2*c, 4476*v = 4480*v + 3*c - 12 for v. 6 Solve 3*f - 3*n + 24 = 36, 2*n = -6 for f. 1 Solve -4*t = d + 99 - 63, 3*d = t - 56 for t. -4 Solve -4*z + 423*k = 422*k - 21, 6*z + 2*k - 28 = 0 for z. 5 Solve 5*r - 35 = -16*i - 15*i + 38, 4*r = -16 for i. 3 Solve -1243*b + 5*n = -1244*b + 10, 5*n + 10 = -3*b for b. -10 Solve 4*u + 202*j - 199*j + 26 = 0, 2*u = 3*j + 32 for u. 1 Solve -5*h + m - 14 = 4*h, 27*h - 26*h - 2*m + 11 = 0 for h. -1 Solve -l + f = -3, -691*l + 687*l = 5*f - 48 for l. 7 Solve -3*a + 26 = -5*x - 15, -20*x = 4*a + 52 for x. -4 Solve -5*o - 5*y - 35 = -8*o, 0 = -4*o + 3*y + 10 for o. -5 Solve -4 = -2*h - 12, -2*t + 6*t + 20*h + 64 = 0 for t. 4 Solve -2*l - 10 = -u, -2*l = u - 22 + 36 for u. -2 Solve -5*g = -3*u + 18, -4*g = g - 11*u + 26 for g. -3 Solve 6 = -k + 2*z, -4*k + 14*z = -3*z + 51 for k. 0 Solve 365*t - 368*t - 2*o - 8 = 0, -5*t + o - 22 = 0 for t. -4 Solve -r + 0 = 2*w + 1, 0 = -4*r - w + 3 for r. 1 Solve 4*t + 975 = 2*g + 961, -t = 3*g + 7 for g. -1 Solve -176 = 10*y + 2*k, 26 = 2305*y - 2306*y + 4*k for y. -18 Solve -1373*g = -1372*g - 2*k + 4, 4*g = -k + 2 for g. 0 Solve 0 = -9894*q + 9897*q + 5*g - 37, q + 3*g - 19 = 0 for q. 4 Solve 4*j - 6*f = 52, 628*j + 10 = 632*j + f for j. 4 Solve -d + 1 = 0, 5*d = 2*b + 474 - 441 for b. -14 Solve 4*y + 2*c = -2*c + 24, -7*c + 10 = -2*c for y. 4 Solve 2*x - 2 = -i, -i = 4*x - 33 + 35 for i. 6 Solve 4*m + 25*x - 21*x = 4, 2*m + 1 = x for m. 0 Solve -38*g - 2*x = -3*g - 68, -2*g - x = -3 for g. 2 Solve -4*a = -2*v - 50, -24*v + 90 = -2*a - 28*v for a. 1 Solve -3*s + 8 = -w, 92*w - s + 8 = 89*w for w. -2 Solve -20*k - 4*f = -25*k - 6, 4*k + 6 = 2*f for k. -2 Solve 10 + 1 = -276*i + 273*i + 8*z, -z + 4 = 0 for i. 7 Solve -2*v - 1373*k + 1374*k = -5, -11 = -11*k for v. 3 Solve 350*b = 4*x + 355*b - 30, 0 = 4*x + 3*b - 18 for x. 0 Solve -2*o = 3*h - 25, -44*h = -47*h + 3*o + 15 for h. 7 Solve 3*t - 17 = 6*t - f, -f = -2 - 3 for t. -4 Solve -2*i - 2 = -s, 525 = -2*s + 525 for i. -1 Solve 5*a = 4*x + 15, 2*a + 63*x = 59*x + 6 for a. 3 Solve 4*x - 24 = -d, 4251*d + 62 = 4249*d + 14*x for d. 4 Solve 4*p - 32 = -3*k, 269*k - 266*k - 2*p = 38 for k. 12 Solve 2*g + 2*r = 0, 2*g - 4*r + 13 = 43 for g. 5 Solve -298*f - 4*h = -300*f + 14, 0 = 3*f - 2*h + 3 for f. -5 Solve 0 = -4*q - 5*k + 10, 33*q = 34*q - 3*k + 6 for q. 0 Solve -1855*b - 23 = -1857*b + 3*c, 14 = b - 2*c for b. 4 Solve m + 13*u = 10*u - 35, 7*m + 75 = -4*u for m. -5 Solve -3*k + d = -11, 7*k + 62*d - 61*d - 29 = 0 for k. 4 Solve -3*h + 36*d - 7*d = -35, d + 3 = h for h. 2 Solve -122*f = -127*f + z + 57, -5*f + 5*z + 65 = 0 for f. 11 Solve 13*f + 4*i + 23 = 16*f, 0 = f + 4*i + 19 for f. 1 Solve 2*x = -15*u + 12*u, u = -2*x + 4*x for u. 0 Solve 9*w - 4 = 9*w + 2*f, f = -5*w + 53 for w. 11 Solve -2*o - 4*s + 20 = -12, -o - 5*s = -31 for o. 6 Solve -18*m + 19*m = 3*x - 10, 0 = -3*m + 6 for x. 4 Solve 6*w + 638 = 2*y + 628, -2 = 5*y + 8 - 5 for w. -2 Solve 16 = -426*k + 425*k - 4*r, 4*k + 16 = -4*r for k. 0 Solve -73*z - 2 = -76*z - 2*n, z + 32 = 4*n for z. -4 Solve 0*i + 11 = i - 2*w, -9*i - 4*w + 2667 = 2634 for i. 5 Solve -3*i + 22 = -23*f + 18*f, 3*i = f + 14 for f. -2 Solve -5*f + 216 = -2*l + 242, 5*f + 8 = -4*l for f. -4 Solve -48 = 6*d + 18*x, 36*d - 39*d + 9 = -2*x for d. 1 Solve -4*g - 4*u - 13 + 4 = 7, -2*g = 79*u + 8 for g. -4 Solve 0 = k - 110*d + 115*d - 13, -k + 4*d = -31 for k. 23 Solve 407*b - 4 = 406*b + d, 2*b + 5*d = 8 for b. 4 Solve -35*p + 36*p - 14 = -3*c, 4*c - 6*p = -18 for c. 3 Solve -80*f = -81*f + 2*n - 3*n, -4*n = f - 15 for f. -5 Solve 5*d = -4*x + 18, -3*d - 19 = -4*x - 17 for x. 2 Solve -2*n + 30 = 2*r, -4049*r - 284 = -4073*r - 5*n for r. 11 Solve 0 = i + 3*w - 2 - 2, 2*i + 12*w - 26 = 0 for i. -5 Solve 2*m + 23 = 5*c, -4*c + 7*m - 269 + 309 = 0 for c. 3 Solve 635 - 666 = -5*g + 2*v, 6*g - 38 = 2*v for g. 7 Solve 2*t - 4*b = 6, -4*t - 195 = 2*b - 167 for t. -5 Solve -y - 3*n = -10, 4*y - 1088 = -n - 1092 for y. -2 Solve 7*r + 47 = 15*t + 9, -t + 10 = -r for r. -14 Solve 5*t = 80, -75 + 47 = -8*j + 10*j - 2*t for j. 2 Solve 0 = -y - i, -8*y + 17 = i - 4 for y. 3 Solve -15 = -7*j + 2*m, -424*j - m - 12 = -429*j for j. 3 Solve 3 = -5*l - 2*x, -52*l + 50*l + 4*x - 30 = 0 for l. -3 Solve 2*c = 0, -11409*f + 11406*f - 4*c - 9 = 0 for f. -3 Solve 3*v = l - 22576 + 22620, 5*l = 4*v - 66 for v. 14 Solve 297*j - 299
{ "pile_set_name": "DM Mathematics" }
et m be ((-14)/j + -2)*948/8. What is the common denominator of 1 - m/40 - 1 and -49/30? 30 Suppose -36*x - 84*x + 1531 = 91. Calculate the lowest common multiple of x and 6324. 6324 Let i be ((-6)/4)/(-2*6/1592). Suppose g = 3*n - i, 5*g = -2*n + 75 + 52. Calculate the smallest common multiple of n and 8. 264 Calculate the smallest common multiple of 1290 and (36/(-30))/(3*(-2)/860). 2580 Suppose 7 + 18 = 5*m. Suppose 493 - 109 = -8*i. Calculate the smallest common multiple of m and (-1 + 2)/((-6)/i). 40 Suppose -31 = 9*s - 85. Let p = 0 - -56. What is the lowest common multiple of 2 - (5 - 7)*s and p? 56 Find the common denominator of -91/502 and 1/10 + (3854/(-2009))/((-20)/(-7)). 3514 Let n(k) = 7*k**3 - 15*k**2 + 21*k - 2. What is the lowest common multiple of 328 and n(2)? 2952 Suppose 0 = -g + 12 + 7. Let o be ((-4)/(-24))/(-1) - g/(-6). What is the common denominator of 482/(-88) + o - (-2 + -1) and 137/24? 264 Suppose 75*c = 740 + 234 + 826. Suppose -4*s + 22 = j, 7*s + 85 = 5*j + 2*s. Calculate the smallest common multiple of j and c. 72 Suppose -x = 2 - 6. Let j be (-1 - -5)/(-5 + 7). Suppose 2*t + 0*t - j*a = 12, -x*a = -8. What is the lowest common multiple of 61 and t? 488 Suppose -2*k = 5*k - 1680. Find the common denominator of 2/20 - (-4816)/k and -17/82. 246 Let q(c) = -c**3 - c**2 + 8*c - 12. Let y be q(2). Let z(j) = -j**3 - 6*j**2 + 12*j + 1. Calculate the lowest common multiple of 24 and z(y). 264 Let d = -15 - -9. Let q = 327661/33 - 109004/11. Calculate the common denominator of 2/d + 60/27 and q. 9 Find the common denominator of 45/704 and (-108)/81*(159/(-12) - -3). 2112 Let d(f) = 3*f**2 + 7*f - 8. Suppose 5*r - 116 = -41. Suppose -r*g + 6 = -13*g. What is the least common multiple of 12 and d(g)? 120 Let t = -165 + 165. Suppose -3*x - 21 = y - 2*y, 5*y - x - 119 = t. What is the lowest common multiple of y and 12? 24 Let y(o) = 3*o**3 + 12*o**2 + 6*o + 5. Let m be y(-4). Let w(r) = -2*r**2 - 38*r + 45. What is the smallest common multiple of w(m) and 21? 315 Calculate the common denominator of -157/756 and 23/(1449/(-14))*70/8. 756 Let f be 2/(-84)*(-323)/722. Let j = -136/133 + f. Calculate the common denominator of 37/21 and j. 84 Let w be (-77816)/(-128) + -8 - -4. Let c = 583 + -1190. Let i = c + w. Find the common denominator of i and 43/18. 144 Let f(l) = -3*l**3 - 10*l**2 + l + 42. Let u be f(-6). Calculate the common denominator of 34/9 and 1 + (-718)/u + 2. 162 Suppose -610 + 305 = -10*r + 4335. What is the lowest common multiple of 1328 and r? 38512 Let b(y) = y**3 + 54*y**2 + 285*y + 115. Calculate the least common multiple of 11 and b(-47). 24013 Suppose 11 = 2*l + 7. Suppose -l*s - 343 = 2147. What is the common denominator of 121/12 and 4 + (s/100)/3? 60 Let y = 7248387/88 - 82369. Find the common denominator of 61/990 and y. 3960 Let p be 3228/30 + (-2)/(-5). Suppose 0 = -0*l - 4*l + p. Calculate the lowest common multiple of l and 4/26*(-4212)/(-216). 27 Suppose -342*m + 537757 = -36*m - 334037. What is the lowest common multiple of 1554 and m? 17094 Find the common denominator of 58/45 and 506/504 - ((-1505)/(-172))/(-35). 315 Let l = 133 + -123. Let c(x) = 11*x + 48. Let b be c(8). Suppose -6*u + b = 16. Calculate the lowest common multiple of u and l. 20 Let x = -11620 + 522866/45. What is the common denominator of x and -67/20? 180 Calculate the common denominator of (906/360)/((-364)/(-70)) and 14/65. 1560 Let a(u) = -u**3 + 7*u**2 + 14*u - 68. Let f be a(8). Let c(t) = -t**2 - 31*t - 27. What is the lowest common multiple of 5 and c(f)? 965 Let z = 2741805 - 2741801. Let q = 7 - 5. Let k = q + 16. Calculate the smallest common multiple of k and z. 36 Suppose 2*v - 8 = -u, 2*u - 2 = u. Suppose -34 - 32 = -v*j + 2*b, 5*j = 3*b + 109. Suppose 0*i - 184 = -4*i. Calculate the smallest common multiple of i and j. 460 Let g be -9 + 4/10 + (-17)/5. What is the least common multiple of 1/(g/(-334)) + 4/24 and 20? 140 What is the common denominator of 3 + 6*6211/(-12312) and 27/152? 4104 Let d(g) = -18*g + 44. Let h be d(-6). Suppose 2*p + h = 3*a - 2*p, -5*p + 19 = a. Calculate the common denominator of (2490/(-180))/(2 - a/6) and 89/40. 160 Let c be (-10)/12 + -3*7/126. Find the common denominator of -95/22 and (-9)/(-672)*-4*(c - 0). 616 Let k(m) = 14*m**2 + 7*m - 85. Let t be k(7). Suppose 5*z - t + 75 = 0. Calculate the smallest common multiple of 3 and z. 345 Let m = 14932 - 13627. What is the least common multiple of m and 348? 5220 Let l(h) = 86*h**2 - 3*h + 3*h**2 - 4 + 977*h**2. Let g be l(-1). Let j = g - 12797/12. Calculate the common denominator of 11/36 and j. 36 Let d = -1506446704/2673 - -563579. Find the common denominator of -7/108 and d. 10692 Let k = 921 + -129. What is the least common multiple of k and 186? 24552 Let n = 9558 - 76605/8. Let y = n + 481/8. Let c = 771 - 1633/2. Find the common denominator of y and c. 2 Let t = 18576 - 18540. Let n = 2 + 22. Calculate the least common multiple of t and n. 72 Let w be (4/(-5))/((-6)/(-15)) - -4. Calculate the common denominator of 808/120 + (-8)/w and -50/9. 45 Find the common denominator of -33 and 1/(40/(-16)) + 54/201. 335 Suppose -20*u = 8599 + 3001. Find the common denominator of 41/27 and ((-4)/(-48))/((-2)/u). 54 Suppose 3292 = 73*p - 36858. Calculate the least common multiple of 350 and p. 3850 Suppose 1020 - 47388 = -28*v. What is the smallest common multiple of 1863 and v? 14904 Let b = -6298609577 + 17006246385541/2700. Let c = 4852/25 - b. What is the common denominator of c and -43/5? 540 Let v(h) = 2*h**3 - 34*h**2 + 3*h - 687. Let g be (-210)/4 + 2/(-4). Let y = -23 - g. What is the least common multiple of v(18) and y? 30 Let m be (-49)/21 + 52/12. What is the common denominator of 8/203 and (-6)/2 + (-1311)/76 - m? 812 Suppose 0 = -19*t + 18*t - 2. Let p(s) = 7*s**2 - 11*s - 22. What is the smallest common multiple of p(t) and 11? 308 Let c = 40503 + -485969/12. Let w = -22/189 + -4049/4725. Find the common denominator of w and c. 300 Suppose 2*d - 3 = -3. Suppose 3*q + 46 = q + 2*y, d = 4*q + 3*y + 71. Calculate the common denominator of (-158)/24*(-2)/q*-3 and -91/8. 40 Suppose 0 = -25*a - 718 + 43. What is the lowest common multiple of 14 and 3*((-30)/a*-3 + 4)? 14 Let r = 441/1870 + 7/85. Calculate the common denominator of 5/3448 and r. 37928 Find the common denominator of -28/171 and 471/72*16/(-228). 342 Let z = -31 - -40. Suppose -8 = 8*q - z*q. Let d = -31 + 61. Calculate the smallest common multiple of q and d. 120 Let r = 3344 - 3338. Calculate the lowest common multiple of 3384 and r. 3384 Suppose 5*j - 3310 = -5*f, 8*j + 3296 = 5*f + 6*j. What is the lowest common multiple of f and 330? 660 Let x = -2/11769 - 1118023/188304. Let t = 68299 - 204869/3. What is the common denominator of x and t? 48 Calculate the common denominator of (-2)/42*75*175/180 and -29/42. 252 Suppose -75*f + 3255 = 4*x - 78*f, -5*f = -2*x + 1645. Calculate the lowest common multiple of x and 8. 3240 Let k = 2/23725 + -564679/284700. Find the common denominator of (-24)/10 + 2 - (-82)/(-10) and k. 60 Suppose z = 5*o + 765, -o - 3003 = 21*z - 25*z. What is the least common multiple of z and 5? 750 Let r = 55331 - 55281. Calculate the lowest common multiple of 112/20 + (-2)/(-5) and r. 150 Suppose -5*r + 8 = 4*j, -7*r + 3*r - 51 = -5*j. Let m(a) = 52*a - 353. Suppose 31 - 1 = 5*y. Calculate the lowest common multiple of m(j) and y. 66 Let i be 2 - (-382 + -4) - (-5 + 8). What is the lowest common multiple of (154/i)/(-2 - (-224)/110) and 9? 99 Suppose 5*r - 30 + 76 = 4*j, r + 5 = 5*j. Calculate the common denominator of 103/20 and r/(-16) - 51/(-34). 40 Calculate the least common multiple of (-37569)/(-56) + (45/24)/15 and 55. 3355 Let v = 1770062 - 4658803245/2632. What is the common denominator of v and -37/48? 15792 Let z = 89 + -84. Suppose i - 82 = r - 20, -2*i = z*r + 296. Let q = 140 + r. Calculate the smallest common multiple of q and 22. 880 Suppose 0 = 4*g - 0*g - 2*a - 102, 5*g - 126 = 2*a. Let x be g/18*(-3)/2. What is the common denominator of ((-64)/34 - x) + 2932/1088 and 1/186? 1488 Let y(m) = -24*m + 1. Calculate the smallest common multiple of (-317)/(-9) + (-6)/(-1)*196/(-5292) and y(-1). 175 Let l(m) = -9*m + 24
{ "pile_set_name": "DM Mathematics" }
he first derivative of h**2 - 6*h + 1308. Give s(p). 2 Let k = -1 - 7. Let w(l) = l**2 - 6*l + 10. Let z(i) = 2*i**2 - 6*i + 11. Let m(d) = 3*w(d) - 2*z(d). Determine m(k). -8 Let b(c) be the third derivative of -c**5/30 - 5*c**4/6 - 3*c**3 + 419*c**2 + c. What is b(-9)? 0 Let c(k) be the first derivative of -1/2*k**2 + 1/3*k**3 - 3*k - 20. Calculate c(-3). 9 Let z = 8 - 2. Let x(q) be the first derivative of -q**3/3 - q**2/2 + q - 46. Let m(i) = i**3 - 2*i**2 + 11*i - 12. Let w(p) = -m(p) - 5*x(p). What is w(z)? 7 Let v(u) be the first derivative of -u**2/2 + 2*u + 3. Let n be v(5). Let y(l) = l**3 + 4*l**2 + 3*l - 5. Let q(d) = -1. Let z(p) = -2*q(p) + y(p). Give z(n). -3 Let j = 441 - 434. Let i(w) = 2*w**2 - 15*w + 10. Calculate i(j). 3 Let a(x) = 3*x**3 - 51*x**2 - 121*x + 16. Let i(t) = 2*t**3 - 34*t**2 - 81*t + 11. Let f(s) = -5*a(s) + 7*i(s). What is f(19)? -3 Suppose -v - 1 = 4*s, 6 = 2*v + 4*s + 4. Let d(o) be the second derivative of 3/2*o**2 - 2/3*o**v - o + 0 - 1/12*o**4 + 1/10*o**5. Give d(2). 7 Suppose 0*q - 4*o - 801 = -5*q, -5*o = 5*q - 810. Let n(p) = -164*p - 4 + 8 + q*p. Suppose 6 = f + 3. Determine n(f). -5 Let l(g) = -4*g**3 - g**2 + 4*g + g**3 - 3*g. Let u be (3/(-6))/((-2)/16). Suppose 2*o - u = -2. Calculate l(o). -3 Let y(n) = 1182 - 11*n - 586 - 591 + 2*n + 2*n**2. Determine y(3). -4 Let m(f) = -5*f**2 - 4*f - 2. Let v(t) = 6*t**2 + 4*t + 3. Let w(q) = -5*m(q) - 4*v(q). Let j(x) = 3*x**2 - 82*x - 244. Let h be j(30). Determine w(h). -2 Let q(c) = c**3 + 15*c**2 + 6*c + 8. Let k(a) = a**2 + a - 1. Let g(b) = -4*k(b) + q(b). Calculate g(-11). -10 Let o(r) be the third derivative of r**7/840 - r**6/60 + r**5/24 - r**4/8 + r**3 + 9*r**2. Let b(l) be the first derivative of o(l). Give b(5). -3 Suppose 0 = b + 4, -p - b + 116 = -6*p. Let y = p - -14. Let g = -14 - y. Let d(v) = v**3 + 3*v**2 - 4*v + 2. Give d(g). 2 Let h(m) = m**3 + 3*m**2 - 2*m + 4. Let l(z) = 0 + 26*z + 3 - 29*z. Let j be l(2). What is h(j)? 10 Let d = 13 + -19. Let b(f) = -3*f - 27. Let u be b(-9). Let o(x) = 2*x + u + 5 + 2. Calculate o(d). -5 Let z(g) be the second derivative of g**3/6 + g**2 - 8*g. Let a(t) = -t**3 + t**2 + t + 4. Let l be a(0). Let j be (10/15)/(l/(-30)). Determine z(j). -3 Suppose 16*a - 33*a = 170. Let h(o) = o**3 + 11*o**2 + 10*o - 7. Give h(a). -7 Let j(d) = 41*d + 1. Let v(f) = 2*f. Let i(h) = -j(h) + 6*v(h). Give i(-1). 28 Let t(b) = 5*b**3 + 13*b**3 + 10*b - 23*b**3 + 1 + 4*b**3 + 7*b**2. Suppose 7 = k - 1. Determine t(k). 17 Let c(g) = -g**2 - 5*g - 4. Let p(a) = -a**3 - 5*a + 14*a**2 - 23*a**2 + 0*a**3 - 49. Let x be p(-9). What is c(x)? 0 Let k(d) = 7*d**2 - 3*d + 16. Let z(n) = 3*n**2 - 2*n + 7. Let q(m) = -2*k(m) + 5*z(m). Suppose -2*i = 4 - 14. Determine q(i). 8 Let s(z) = -6*z**2 + 5*z**2 - 17*z + 23 + 12*z - 6. Give s(-7). 3 Suppose -14*y = -29*y. Let z(o) = -o - 8. Determine z(y). -8 Let x(w) be the second derivative of -w**4/12 - 7*w**3/6 + 3*w**2/2 + w. Suppose -186*l - 7*l + 264 - 1615 = 0. What is x(l)? 3 Let k(f) = -5*f**2 + 7*f**2 - 9 - f**3 + 35*f + 6*f**2 + 21*f - 62*f. What is k(7)? -2 Let a(w) = -246*w**3 + 5*w**2 + 125*w**3 - 6*w + 7 + 120*w**3 - 4. Give a(5). -27 Let f(l) = -1. Let a(g) = -g - 2. Let v(i) = a(i) - 2*f(i). Let m = -6 + 10. Let w(u) = 5*u + 6. Let j(p) = m*v(p) + w(p). What is j(0)? 6 Suppose 364 = -67*u - 574. Let k(n) = n**3 + 15*n**2 + 17*n + 18. Give k(u). -24 Suppose -5*y - 298 = 4*b, -y = -4*b + b - 214. Let c = -82 - b. Let p(i) = -i**2 - 9*i + 13. Calculate p(c). 3 Let x(g) = -g**3 - 6*g**2 - 5*g - 7. Suppose 7*y + 70 = -7*y. Give x(y). -7 Let i(f) = -466689*f + 2*f**2 - 1 + 466689*f. Give i(-1). 1 Let t = 53 - 55. Let b(v) = v**2 + 2*v - 2. What is b(t)? -2 Let h be ((-10)/120*-8)/((-2)/18). Let n(c) = -6*c + 7. Give n(h). 43 Let r(i) = -93*i - 2 + 137*i - 43*i. Let l(g) = g**2 - 5*g + 5. Let j be l(4). Let w be -1 + j/(1/5). What is r(w)? 2 Let x(v) = -v**2 + 14*v + 3. Let h be x(14). Let j(w) = 325 - 3*w**h - 324 - 9*w**3 - 2*w**2. Determine j(1). -13 Let t(n) = -4*n - 9. Let f be t(-3). Let s(q) = f + 0*q + q**2 - 3*q + q**3 + 1 - 3. Give s(-3). -8 Let t(s) be the third derivative of -s**5/60 + 3*s**4/8 - 11*s**3/6 + 5*s**2 - 4*s. Give t(6). 7 Let k(w) = w**3 + 7*w**2 + 4*w + 8. Let z(p) = -p**3 + 3*p**2 + 3*p + 7. Let r be z(4). Suppose -f - 8 = r*l - 2*l, l - 22 = 4*f. Calculate k(f). 20 Let b(n) be the third derivative of 0 + 1/6*n**3 - 3/8*n**4 + 0*n**5 + 0*n - 6*n**2 - 1/360*n**6. Let i(l) be the first derivative of b(l). Give i(0). -9 Suppose -28 = 2*d - 30. Let s(v) = 8 + 0*v - 2 - v**2 - 3*v + d. What is s(-5)? -3 Let u be ((-11)/11)/((-2)/(-14)). Let f(o) = -3*o + 6. Calculate f(u). 27 Let y(k) = -2 + 1 + 0*k + k - 2*k**2 + 2*k - 5*k - 10*k**3. Determine y(-1). 9 Suppose 2*h = -4*h + 6. Let b(f) = 477 + 475 - 951 - 2*f - 10*f**2 - 4*f**2. Calculate b(h). -15 Suppose -r - 19 = 3*m, -6*r - m - 17 = -3*r. Suppose 4*j = 4 + 4. Let z(c) = j - 79*c**2 - 1 + 80*c**2 + 7*c. Give z(r). -11 Let t(z) = -6*z - 4. Let a be (-1)/(-2) - ((-684)/(-24))/(-19). Calculate t(a). -16 Let q(j) = j**2 + 13*j + 21. Let f be (-12)/144 + 143/(-12). Determine q(f). 9 Let r(s) = -s**2 + 2*s**2 + 247 + 5*s - 256 - 2*s**2. What is r(9)? -45 Suppose -s = 5*t - 0 - 6, 0 = 2*s + 4*t - 12. Let m(u) = 9 - 1373*u - 1367*u + 2737*u. Determine m(s). -9 Let v(p) = -p**2 - 11*p - 11. Let g(t) = -t**3 + 7*t**2 - 5*t - 14. Let f be g(6). Calculate v(f). 13 Let a(i) = 17*i + 16. Let r(o) = 5*o + 6. Let p(y) = -4*a(y) + 11*r(y). Give p(2). -24 Suppose -d - 9 = -3*t - 0*t, 1 = 3*d - 2*t. Suppose 6*c - 5*c = -d. Let a(v) = 5*v**2 + 4*v - 1. Let i(o) = -o**2. Let m(g) = a(g) + 4*i(g). Determine m(c). -4 Let j = 2 + -3. Let t = j + 1. Let x(v) = -v - 5. Let s(z) = 4*z + 32. Let u(p) = -s(p) - 5*x(p). Calculate u(t). -7 Suppose -3*p = -3*f + p - 12, -4*f = 3*p + 16. Let a(u) = u**3 + 4*u**2 - 3*u + 2. What is a(f)? 14 Suppose 0 = -5*p, 3*w + 4 = -3*p + 1. Let u(q) = -3*q + 3*q + q. Let o(n) = 2*n - 1. Let r(s) = w*u(s) + o(s). Calculate r(0). -1 Let o be -1 + 3 + 4/2. Let g(s) = -5*s + 3*s**2 + 5 - s**3 - s + o*s + s. Determine g(4). -15 Let a = 14 - 24. Let o(l) = -5*l**2 + 10*l - 11. Let y(h) = -4*h**2 + 10*h - 10. Let z(s) = -5*o(s) + 6*y(s). Let j be z(a). Let d(k) = k + 1. Determine d(j). -4 Let i(r) = 843*r - 418*r - 425*r + r**2 - 1. Let m = 3 + -3. Let w = m - -2. Give i(w). 3 Let z(n) = -4*n. Suppose -2*g + 83 + 25 = 0. Suppose -62 + g = 4*i. Determine z(i). 8 Let u(f) = f. Let w(x) = x. Let n(m) = -6*u(m) + 5*w(m). Suppose -7*j = -4*v - 9*j - 32, 2*j = -3*v - 23. What is n(v)? 9 Let y(m) = -2*m**2 - 8*m - 4. Let u be 3 - (4 - -3) - -7. Suppose u*z - 4*z = 3*g + 10, 2*g + 15 = z. Calculate y(g). -14 Let c(m) = -3*m**3 - 231*m**2 + 110*m**2 + 121*m**2 + m - 1. Give c(1). -3 Let d(u) = -5*u + 2. Let v be (-12)/42 + ((-136)/14 - 1). Let n(r) = -26*r + 9. Let w(p) = v*d(p) + 2*n(p). Determine w(5). 11 Let j(q) = -q**2 - 7*q + 4. Let t(b) = b**2 + 7*b - 3. Let x(n) = -4*j(n) - 5*t(n). Suppose 9*r = 3*r + 90. Suppose 6 = r*w - 16*w. Determine x(w). 5 Let j be (-1 - -2 - 2)*2. Let m(f) be the second derivative of -2*f**3/3 - f**2 + 13*f - 4. What is m(j)? 6 Let m = 85 + -91. Let r(y) be the second derivative of 1/12*y**4 - 3*y + 7/6*y**3 + 5/2*y**2 + 0. Calculate r(m). -1 Let u(y) = -2*y**3 - 9*y**2 - 8*y - 3. Let b(d) = d**3 + d**2 + 1. Let h(v) = 3*b(v) + u(v). Suppose -4*i + 9*i - 3*k - 23 = 0, 4*k = -i + 23. Determine h(i). -7 Suppose -2589*q = -2588*q + 15. Let p(i) = i**3 + 13*i**2 - 31*i - 16. What is p(q)? -1 Suppose -6 + 2 = -4*s. Let k(i) = -i**2 + s - 2*i**2 + 4*i + 2*i**2 + 0*i**2. Let v = 12 + -7. Give k(v). -4 Let b = 11 + -8. Let h(l) = b*l**2 + 0*l - l**2 + l**3 - l. Let m(n) = -26*n**2 + 908*n + 71. Let w be m(35). Determine h(w). 2 Let h(x) = -14*x**2 - 12*x - 7. Let f(u) = 5*u**2 + 4*u + 2. Suppose 11 = -3*g - y, -3*g + 2*y - 24 = -10. Let v(p) = g*h(p) - 11*f(p). Calculate v(-5). 11 Let t(c) = 23*c**3 + c**2 - c - 1. Suppose -2*b - 13 + 7 = 0, 3*z - 5*b = 12. Determine t(z). -22 Let o(m) be the second derivative of m**4/12 + m**3/6 + 5*m**2/2 + 3*m. Let h = 508 + -512. Determine o(h). 17 Let l = -39 + 52. Let z be 4/26 - (2 + (-63)/l). Let u(g) = -g**2 + g + 1. Determine u(z). -5 Let a(c) =
{ "pile_set_name": "DM Mathematics" }
common factor of 5811 and 5907850? 1937 Calculate the highest common factor of 52613470 and 2870. 70 What is the highest common divisor of 12248205 and 60? 15 What is the greatest common factor of 925 and 421504? 37 Calculate the highest common divisor of 1601902 and 1562. 142 Calculate the greatest common divisor of 60687 and 9097. 11 What is the greatest common divisor of 66 and 1193754? 6 Calculate the greatest common factor of 268 and 592172666. 134 What is the highest common factor of 6915364 and 1012? 92 Calculate the highest common divisor of 646345 and 672777. 413 Calculate the highest common factor of 15520500 and 2250. 2250 Calculate the greatest common divisor of 16284448 and 1984. 32 What is the highest common factor of 258984152 and 203? 203 Calculate the greatest common divisor of 94645910 and 240136. 4618 What is the greatest common divisor of 20410 and 250? 10 What is the greatest common factor of 4215 and 206684211? 843 What is the greatest common factor of 16 and 16657078? 2 Calculate the greatest common factor of 108 and 83003886. 54 What is the highest common divisor of 137678375 and 7880? 985 What is the greatest common factor of 10281859 and 7? 7 What is the highest common divisor of 209244 and 86894136? 4452 Calculate the greatest common factor of 4163 and 2686331. 23 Calculate the highest common factor of 11322 and 102042. 18 Calculate the greatest common factor of 824906 and 62602. 554 Calculate the highest common factor of 10239582 and 488. 122 Calculate the greatest common factor of 11730 and 16602090. 690 Calculate the greatest common factor of 1524 and 1308876. 12 Calculate the greatest common factor of 413665074 and 138. 138 What is the highest common factor of 531152726 and 1326? 442 What is the highest common divisor of 559355784 and 51246? 5694 What is the highest common factor of 1491272 and 1292? 76 What is the highest common divisor of 144 and 50042160? 144 Calculate the greatest common factor of 27258 and 4910157. 1239 What is the highest common divisor of 324 and 21809628? 108 What is the greatest common factor of 29980 and 343040? 20 Calculate the highest common factor of 50139000 and 104. 8 What is the greatest common divisor of 13475124 and 54? 18 Calculate the highest common factor of 23924755 and 175159. 1637 Calculate the highest common divisor of 165463346 and 102. 34 Calculate the greatest common divisor of 1087269 and 4029. 51 What is the highest common divisor of 10709519 and 76037? 5849 What is the greatest common divisor of 5012525 and 350? 175 What is the greatest common divisor of 30585 and 769543068? 6117 Calculate the highest common factor of 1208646 and 10458. 1494 What is the highest common divisor of 1027073308 and 1942? 1942 What is the greatest common factor of 827394 and 4181? 37 What is the highest common divisor of 24460805 and 2255? 205 What is the greatest common factor of 408 and 18007692? 204 Calculate the greatest common factor of 246688 and 2112. 32 What is the highest common divisor of 14 and 86284898? 14 What is the highest common divisor of 13340665 and 529295? 1105 What is the highest common divisor of 539632 and 15119? 1163 Calculate the highest common factor of 3304 and 90629546. 826 Calculate the highest common factor of 653 and 20797397. 653 Calculate the greatest common factor of 1251166 and 55574. 1502 What is the highest common divisor of 6 and 2620545? 3 What is the greatest common divisor of 22033 and 66493591? 2003 Calculate the greatest common factor of 408 and 447304. 136 What is the highest common divisor of 1928894 and 284746? 946 What is the greatest common factor of 5126731 and 7415? 1483 Calculate the greatest common factor of 8515 and 42055. 65 Calculate the greatest common divisor of 40 and 138230728. 8 What is the highest common factor of 170690 and 23790? 130 What is the highest common divisor of 519 and 16682563? 173 Calculate the greatest common factor of 2356 and 7641686. 1178 Calculate the highest common factor of 79285 and 6180695. 505 What is the greatest common factor of 6710 and 4198590? 110 Calculate the greatest common divisor of 19964681 and 71577. 2651 What is the greatest common factor of 368 and 1666568? 8 Calculate the greatest common factor of 2 and 27927547. 1 Calculate the greatest common divisor of 2440 and 9480315. 305 Calculate the highest common divisor of 12384 and 11439720. 3096 Calculate the highest common factor of 1040535 and 570. 285 What is the greatest common factor of 14504 and 34550096? 392 What is the greatest common divisor of 329676 and 500324? 332 Calculate the greatest common divisor of 321406 and 26685. 593 Calculate the highest common factor of 4047 and 21204931. 1349 Calculate the highest common divisor of 4395972 and 210. 42 Calculate the greatest common divisor of 6 and 166980492. 6 Calculate the highest common divisor of 495653121 and 13176. 1647 What is the highest common factor of 1158096 and 1048? 8 Calculate the greatest common divisor of 4240626 and 19617. 39 Calculate the highest common factor of 6 and 38590320. 6 Calculate the greatest common factor of 3418 and 22738245. 1709 What is the highest common divisor of 36551 and 3079? 1 What is the greatest common factor of 198 and 5442723? 99 Calculate the highest common factor of 5514670 and 15. 5 Calculate the highest common factor of 1278 and 142218. 18 What is the highest common factor of 1391 and 3841514? 107 Calculate the greatest common divisor of 275 and 843476150. 275 Calculate the highest common factor of 62 and 1183061618. 62 Calculate the greatest common divisor of 1100660 and 178420. 220 Calculate the highest common divisor of 26811 and 62180667. 2979 Calculate the greatest common factor of 57 and 574176. 3 Calculate the greatest common factor of 4063608 and 162. 162 What is the highest common factor of 1162881 and 747? 9 What is the highest common factor of 26120008 and 236? 236 What is the highest common factor of 8960 and 305480? 280 Calculate the highest common divisor of 119615852 and 129. 43 Calculate the highest common factor of 9172 and 26764. 4 Calculate the highest common divisor of 945 and 489790. 35 Calculate the greatest common divisor of 785 and 22533739. 157 Calculate the highest common divisor of 189085688 and 3256. 3256 Calculate the greatest common factor of 509597 and 4125. 11 What is the highest common factor of 616 and 15530200? 56 Calculate the greatest common divisor of 276 and 582300798. 138 Calculate the greatest common divisor of 13157679 and 4428. 123 Calculate the highest common factor of 4 and 15447452. 4 Calculate the greatest common factor of 6592 and 6206471. 103 Calculate the greatest common factor of 15880810 and 23. 23 What is the highest common divisor of 1377159 and 2373? 21 What is the highest common divisor of 676559 and 146600? 733 What is the greatest common factor of 24681740 and 142115? 3305 What is the highest common divisor of 3537 and 16601237? 131 What is the highest common divisor of 4201487 and 1376? 43 What is the highest common factor of 16668 and 2251569? 1389 Calculate the greatest common divisor of 1012140 and 2034. 18 Calculate the greatest common factor of 630644585 and 145. 145 What is the highest common factor of 2039688 and 22626? 54 Calculate the highest common divisor of 8873 and 15941. 19 What is the highest common divisor of 109242476 and 532? 532 What is the greatest common divisor of 1309 and 12255936? 77 What is the highest common divisor of 49780 and 12452860? 2620 Calculate the highest common factor of 1704107367 and 22707. 7569 What is the greatest common divisor of 452 and 205687798? 226 Calculate the highest common factor of 628386 and 24266. 22 Calculate the greatest common factor of 569 and 104339237. 569 What is the greatest common divisor of 717311807 and 39558? 6593 What is the highest common factor of 20068500 and 51? 51 What is the greatest common divisor of 431893 and 3927? 77 What is the highest common factor of 1422408 and 94575? 3783 What is the greatest common divisor of 183926 and 318406? 82 What is the highest common factor of 1681392 and 45264? 1104 Calculate the greatest common divisor of 27744296 and 23432. 808 What is the highest common factor of 572298
{ "pile_set_name": "DM Mathematics" }
h) = -3*h + 5. Let m be p(2). Let i = -1 - m. Let y be 2 - (0 + -2 - i). What is the fourth biggest value in 2/51, y, 2/11, 0? 0 Let k = -3699 - -3699.13. Let g = 4.4 - 9.4. Which is the smallest value? (a) g (b) k (c) 1/2 (d) -2/5 a Suppose 0 = -h + 3 - 1. Let f = 7 - h. Let v = 8056/4839 - -3/1613. What is the biggest value in 2/3, 0.3, f, v? f Let r be 7/(-18) - (-86)/387. What is the smallest value in 3/14, r, -2? -2 Let q = -5729 + 5802. What is the smallest value in q, 0.2, -3? -3 Let t = 0.7 + -3.7. Let d = -224652 - -224584. Which is the second smallest value? (a) 0.4 (b) t (c) d b Let k = 14806.5 + -14807. Which is the second biggest value? (a) k (b) 0.1 (c) 0.4 (d) -5 (e) -0.124 b Let m = -15088 - -15091. Which is the second smallest value? (a) -0.01 (b) -44 (c) m a Let u = -0.164 + -3.836. Let b be ((-9)/3)/((-18)/4). What is the third biggest value in -1/53, b, 0.3, u? -1/53 Let r be (-9)/(2 + 1) + 4 + -4. Let m be ((-14)/(-21))/((-2)/(-12)). Let z be (-34)/70 - 8/(-28). Which is the third biggest value? (a) z (b) r (c) 2 (d) m a Let x be 4797/(-1539) - -2 - -1 - 4/(-18). Let m = 425/3 + -143. What is the smallest value in m, 0.07, x, -0.3? m Let f = 174 + -168. Let l = 5 - f. Which is the second biggest value? (a) -1/5 (b) l (c) 0.2 (d) 8 c Let u = -6923/6 - -1154. Let q = 3.5 + -3. Let i = 15 - 7. What is the second biggest value in u, i, q? q Suppose 2*w + 15 = -3*t, 0 = 2*w + 251*t - 253*t - 10. What is the third biggest value in -8, 4, -29, w, -2/3? -2/3 Let j(g) = g**3 + 4*g**2 - 5*g + 1. Let f be j(-5). Let r = -19103.1 - -19103. Which is the third biggest value? (a) -3 (b) f (c) -5 (d) r a Suppose 5*l + 19 = -3*z, -12 = -3*l + 6*l + 2*z. Let i be 2/1 - (-2)/2. What is the biggest value in -1, l, i? i Let k = -6472 + 6471.9. Which is the third smallest value? (a) 34 (b) k (c) 3 (d) 2 (e) 4/9 d Let c = 2.67 + -3.1. Let b = c + 0.03. Let d = -106 - -105. What is the second smallest value in d, -0.05, -2, b? d Let k = -37490.58 - -37491. Let m = -6.3 - -6. Which is the third smallest value? (a) k (b) 2 (c) m b Let p = -48 - -34. Suppose 69*b - 133 - 143 = 0. What is the fourth smallest value in p, 0, b, -5? b Let w(n) = 319 - 589 + 315 - 22*n. Let r be w(2). Which is the biggest value? (a) -5 (b) 0 (c) 4 (d) r c Let y(s) = s + 6. Let d be y(-5). Suppose -d = -2*v + 3. Let r = 96.48 + -99.48. What is the biggest value in v, r, -2/9? v Let z = 1.992 + 0.008. Let f = 1.5 - z. Let c be ((-35)/3)/(-7)*(6 - 0). What is the fourth smallest value in 3, c, f, 0.2? c Let h = 31273.3 - 31274. Which is the fourth biggest value? (a) 3/7 (b) h (c) 4 (d) 0.32 b Let g be (-1)/((-3)/6) - 1. Let u = 73.2 - 79.2. What is the smallest value in -3/7, u, -4, g? u Let q = -5 - -4. Let d be 6/(-4) - 45/(-10). Suppose v - 5*l + 6 = -d*v, -4*v + l = -2. Which is the third biggest value? (a) q (b) 3 (c) v a Suppose -3*p + 0 = -21. Let a be 4/(-3) + p/(-42). Let j = 1.981 + 0.019. What is the third smallest value in a, j, 10? 10 Let v = -4.97724 + -0.02276. Which is the third smallest value? (a) -7 (b) v (c) -52 b Let q = -22.38 - -22.48. Which is the second biggest value? (a) 3 (b) 0.062 (c) q c Let y = -53 - -7. Let n = 20 - y. Let f = 63 - n. Which is the second smallest value? (a) 0.1 (b) f (c) 4 a Let r = 0.4 - -94.6. Let l = 95 - r. What is the third biggest value in -2, l, -2.5? -2.5 Let p = 130142/15 + -8676. What is the biggest value in p, 5/6, 0.3, 17? 17 Let p = 2407.4 - 2408.4. Which is the biggest value? (a) 3 (b) -29.2 (c) p a Suppose -9 - 28 = -47*k + 10. What is the third biggest value in 5, -15/196, k? -15/196 Let h = 276.214 + -305.2. Let s = -29 - h. Let g = s + 0.614. Which is the smallest value? (a) -3 (b) g (c) -1/3 a Suppose 693*f = 712*f - 57. Which is the third smallest value? (a) f (b) 2 (c) 4/47 a Let o = 3.4 - 3. Let n be (-1 - -4 - 1)*2. Let s = -0.085514 - 0.114486. What is the fourth smallest value in 13, n, s, o? 13 Let r = -11 + 3. Let g be (96/(-20))/(3/(-10)). Suppose g = 8*f - 16. What is the smallest value in 3/4, r, f? r Suppose -39 = -5*s + 366. Let k = s + -62. Suppose -5*n - 3*t = -4*t + k, -3*t = -4*n - 13. Which is the biggest value? (a) n (b) -1/7 (c) 1 c Let z = -4.5 + 9. Let u = z - 2.5. Let j = -3/7 - -13/14. What is the third smallest value in -0.08, j, u? u Let u = -596 - -689.6. Let q = u + -94. Let h = -0.3 + 0.4. Which is the smallest value? (a) h (b) 2/17 (c) q (d) 2/13 c Let t = 0.354 + 1.646. What is the biggest value in 4, -1/6, -0.23, t? 4 Suppose i = 3*i - 134. Let k = -1318 - -1317.8829. Let n = k - 0.0829. Which is the third biggest value? (a) i (b) -3 (c) n b Let q = 60.5 - 48. Let p = 12 - q. Let d = 138.2 + -138. Which is the third smallest value? (a) d (b) 2/7 (c) p b Let x = 288 + -286.79. Let u = -1.3 + x. Let f = 3861 - 3859. What is the third smallest value in f, -4, u? f Suppose 2*q - 5*u - 3 = 0, 3*q + 179*u - 180*u + 28 = 0. Which is the fourth biggest value? (a) 1/4 (b) 1 (c) -5 (d) q d Let i = 29 + -29. Suppose -6*l = -10 - 2. What is the third smallest value in l, 0.06, i? l Let f(y) = y**3 + 41*y**2 + 43*y + 103. Let p be f(-40). Let n = -2 + 2.4. Which is the second biggest value? (a) n (b) p (c) -5 c Suppose 232*v + 14 = 239*v. Let u be -6 - (-2)/(2 - 20/14). What is the second smallest value in v, -2/7, 0.4, u? -2/7 Let h = 3769 + -3768. Which is the third biggest value? (a) -1/4 (b) 2 (c) h (d) 0.1 d Suppose -21*d = 7089 - 7026. What is the second biggest value in 0, d, 2/3183? 0 Let l = 18320.7 - 18321. Which is the fourth biggest value? (a) 4 (b) -1/6 (c) -501 (d) l (e) 0.4 d Let h(c) = -12 - 13 - 83*c + 80*c. Let g be h(-9). What is the third smallest value in g, -0.1, 16, -0.3? g Let m = -0.667 - -1.067. Which is the biggest value? (a) -0.17 (b) -3/4 (c) -0.5 (d) m d Let x = 0.015 + 150.985. Let i = 147 - x. Which is the biggest value? (a) i (b) -0.3 (c) 4 c Let f = -24.555 - -19.8. Let k = f - -4.4. Let i = 0.055 + k. Which is the biggest value? (a) -0.1 (b) i (c) -4 a Suppose 2*i - 28 = -4*a, 15*a + 11 = 18*a - i. What is the second biggest value in a, -5, -50, -4? -4 Suppose -158*x + 189 = -151*x. Suppose -3*l - x*l = -14*l. Let m = 0.12 + -0.1. Which is the third biggest value? (a) -3/2 (b) l (c) m a Let a = -2861/2964 - -185/228. What is the fourth biggest value in a, -83, 4, 14? -83 Let o = 56487.7 - 56511.7527. Let r = o + 0.0527. Which is the smallest value? (a) 2/9 (b) r (c) -0.4 (d) 0.4 b Suppose -182*r + 199*r = -34. Which is the third biggest value? (a) 2 (b) r (c) -3 (d) 14 b Let f be (-33)/(-6)*1*(-1796)/(-4939). Suppose -2 = -2*t + 6. Which is the smallest value? (a) -3/4 (b) f (c) 33 (d) t a Let h be (-528)/56 - (-10)/35 - -8. Which is the biggest value? (a) -3 (b) 2.69 (c) h b Let s = -46925/4 - -11900. Let f = 168 - s. Let j be (1 - 129/(-27)) + (-228)/38. What is the second smallest value in 0.4, j, 3, f? j Suppose i + 13 = -29. Let l = -169/4 - i. Which is the second biggest value? (a) 1 (b) l (c) 4.7 a Let r = -40888 + 203644/5. Let s = r + 158. Which is the smallest value? (a) 2 (b) -2 (c) s (d) -2/3 b Let n = 0.1887 + 6.8113. What is the second biggest value in 0.5, 172, n, -0.2? n Let j = -149/18 - -17/2. Let i be 140/63 - 30/135. What is the second smallest value in i, j, 0.11, 0? 0.11 Let a = 1.95 + -1.85. What is the second biggest value in 6, -4, a? a Let t = 47257/13 - 3635. Which is the second biggest value? (a) t (b) 203 (c) -0.03 a Let f be (-42671)/9616 - ((-2 - -2) + -4). What is the second biggest value in 5, f, -2, 1/7? 1/7 Let o = -3071 - -3066. What is the third biggest value in -0.4, o, 0.139, -3/2? -3/2 Let z = 0.8763 + -1.3763. Let g(t) = -3*t + 2. Let r be g(-3). What is the smallest value in z, 5, r? z Suppose -23*r = -19*r - 60. Suppose w = -c + 3*w + r, c + 10 = -3*w. Suppose c*l = 42 - 2. What is the smallest value in 0.1, l, 1? 0.1 Let p be -2 + (0 - -2 - 0). Suppose -i + p*i = 0. Let y be ((-6)/55)/((-2)/10). Which is the third smallest value? (a) i (b) y (c) -11 b Let t = 5794 - 5793.7. What is the third smallest value in -0.1, 6, t, -10? t Let k be 7*(-159)/(-105) - 11. Which is the secon
{ "pile_set_name": "DM Mathematics" }
ate (31/(-62))/(1/(-2)). 1 What is the value of (-65)/15 + (-2 + -2 - -8)? -1/3 Calculate 6/(-42) + (-87)/(-21) + 2. 6 What is 5/1 + -1 + (5 - 9)? 0 Evaluate ((-9)/(-12) - 2)*(-8 - -9). -5/4 What is 3/(-1) - (-4)/(-7)*-5? -1/7 Calculate -3 - (-2 + 6 - 5). -2 Evaluate 11/7 + (-18 - -16). -3/7 What is the value of 10/4 + 4 + 95/(-15)? 1/6 What is the value of 0 + 1/(-2)*40/(-190)? 2/19 Evaluate (-59)/7 + 33/77. -8 -7 + (31 - 10)/7 -4 Evaluate ((-7)/(3 + 4))/((-3)/(-30)). -10 What is the value of 4/(-7)*(-8 - 18/(-4))? 2 Evaluate 176/33 - (-2)/(-6). 5 ((-645)/258)/((-5)/(-2)) -1 What is 10/12*(-96)/(-360)? 2/9 What is the value of -37*(-2)/(-19) + (116 - 112)? 2/19 Calculate -2 + 119/102 + (-47)/(-6). 7 (-26)/65 + (-34)/(-10) 3 What is the value of ((-3)/15)/(-1)*5/2? 1/2 Calculate 2/6*(80/8)/5. 2/3 What is -9*(56/(-18) - -3)*3? 3 43/(-86)*(0 - 10) 5 What is the value of 11/(-3) - (-23 + 20)? -2/3 Evaluate (-544)/(-88) - (1 - (-27)/(-33)). 6 Evaluate (8 + -6 - 2)/(-4 - -2). 0 What is the value of 21/14*((-26)/6 - -1)? -5 What is the value of (-2*2 - (-81)/18)*8? 4 What is 230/40 + 8/32? 6 (-6)/(-57) - 1638/399 -4 What is the value of 5/((-45)/3)*84/(-49)? 4/7 (245/50 + -2 + -3)/1 -1/10 What is the value of -6 - -1*(-5 - -11)? 0 What is the value of 2*(8 + -5) - 4? 2 What is ((-36)/(-198))/(60/(-55))? -1/6 What is the value of (-2 - (-68)/(-60)) + 6/45? -3 What is the value of -4*((-77)/182)/11? 2/13 What is 2/(-3 + 10 + 5)*-2? -1/3 Calculate 1/(-4) + (-3)/4. -1 What is the value of 9/(-12)*-8 + -1? 5 What is the value of (-4)/(-18) - 47*9/81? -5 Evaluate (1 + -3)*(-46)/23. 4 (2*4/(-8))/(0 - -1) -1 Calculate (-30)/234 - (-102)/221. 1/3 What is the value of -2*3*9/54? -1 Calculate 3 - 4/(-32)*-12. 3/2 What is the value of (-2)/4 + (-385)/(-330)? 2/3 What is -2*(-1 + (70/(-4))/(-5))? -5 Evaluate -1*20/(-90)*3/2. 1/3 What is the value of (-28)/12 + (-36)/54? -3 12*((-15)/(-9) + -2) + 3 -1 (-4)/10 - (7 - (-110)/(-25)) -3 What is (-312)/(-364)*(-2)/(-2)*7? 6 (125/(-6))/(-5) + 5/(-30) 4 Evaluate (-2)/2 + 3 - 3. -1 Calculate (4/(-6))/((-468)/108). 2/13 Evaluate (-132)/315 + (112/105)/8. -2/7 Calculate (-17)/(-35) - (182/(-65))/(-14). 2/7 325/546 - (-3)/(-7) 1/6 Calculate (-15)/(-27)*(-3)/(-5). 1/3 Calculate -2 + 4/(-22) - -2. -2/11 What is the value of 3 + -92*10/360? 4/9 Calculate -9 + (-1086)/(-108) - (-6)/(-4). -4/9 Calculate (-1)/6*4/(-3). 2/9 (1122/18)/11 + -5 2/3 What is the value of ((-1)/1 - (-3)/2)*1? 1/2 What is ((-4 + 1)/18)/(15/(-20))? 2/9 What is the value of (-23)/(-4) + -11 + 6? 3/4 Evaluate ((-9)/(-28))/(14 + 848/(-64)). 3/7 Evaluate 18/27 + 10/3. 4 2/2*((-28)/6)/7 -2/3 Calculate (2*(-3)/6)/(66/330). -5 What is the value of -3*(1*-1 - 224/(-210))? -1/5 -8 - (-4 - 1)/1 -3 What is the value of ((-104)/(-20) + -5)/(1/(-1))? -1/5 Evaluate (70/15 - 4) + 0. 2/3 What is the value of 4*(-5)/(5 + 0)? -4 Calculate (1 - (1 + (3 - -2))) + 10. 5 Evaluate -3 - (20/(-7) - (-6)/(-21)). 1/7 What is ((-38)/532)/(3/18)? -3/7 What is the value of 187/726 + 2/(-12)? 1/11 What is the value of (-649)/7434 + (-1)/18? -1/7 What is ((-1)/7)/((-8)/56)? 1 What is ((-2)/12*-15)/(330/72)? 6/11 Calculate 438/(-90) + (3 - (1 - 3)). 2/15 What is (5 + 12/16 + -6)*-1? 1/4 (-11)/((-462)/(-24)) - (-240)/28 8 What is the value of (-104)/91 - (3 - 4)? -1/7 What is (((-54)/15)/6)/(3/15)? -3 What is (-1246)/(-1780)*(6/(-7))/2? -3/10 What is the value of 192/84*(-105)/30? -8 Calculate 7097/(-6644) - (15/4)/(-3). 2/11 What is the value of 48/22 - (-5 + (-14)/(-2))? 2/11 Calculate (-4)/(-63) - (100/36 - 3). 2/7 What is ((-1)/2)/(5/(-10))? 1 What is the value of (-4)/(-14) + 0 + (-44)/(-42)? 4/3 Calculate ((-1)/15*-6)/(10/25). 1 Evaluate (-4)/12 + (-112)/(-21). 5 (-154)/(-539)*98/4 7 What is 8 + (-3 - (-2)/(-1))? 3 Evaluate (-27)/(-18)*12/(-207). -2/23 What is 2/(-4) + ((-27)/6)/3? -2 What is the value of (-9 + 8)/2 + 10/4? 2 Calculate (-58)/261 - -2*14/(-36). -1 Evaluate 2 + -4 - (4 + -5). -1 What is (1*(-9)/(-63))/(2/7)? 1/2 (-12)/(-42) - (-74)/(-14) -5 What is the value of 3*12/(-7) + 1/7? -5 Calculate 14/(-49) + (-30)/(-7). 4 What is 4 - (-10)/(2 - 7)? 2 Evaluate (16/(-48))/(-6 + (-98)/(-16)). -8/3 What is the value of 1 + 2*-1 - (-640)/400? 3/5 (-28)/24*(-4)/(-28) -1/6 Evaluate (-11)/22*4/14. -1/7 3*((-20)/(-4))/(-15) -1 -1*((-26)/(-7) + -4) 2/7 6/14 + 1071/(-441) -2 What is the value of (5 - 3) + 2/6 - 2? 1/3 1 + (-31)/((-248)/(-48)) -5 (-6)/1 - (-10)/(40/4) -5 (-4)/(-72) + (-92)/(-207) 1/2 Calculate -4*(-2)/2 + -4. 0 26 + -24 - (-7)/(-4) 1/4 9/108 + 186/360 3/5 Evaluate (-26)/(-39)*15 - 3. 7 What is -12*(-5)/16 + (-3)/4? 3 What is the value of (9 - 5) + 52/(-14)? 2/7 What is the value of (-2 - (-154)/98)/(3/(-63))? 9 Calculate -10*(-1)/(-14)*7. -5 Calculate 5*((-38480)/92400 - (-6)/14). 2/33 (6/(-4) - -1)/(60/120) -1 Calculate 6/30 - (-2 - (-238)/90). -4/9 Evaluate 12/(-45)*(360/(-16))/5. 6/5 Calculate ((-81)/(-45))/((-3)/(-5)). 3 Evaluate (24/714)/(37/7 - 5). 2/17 Calculate (-162)/(-30) - 1*4/10. 5 (-4 - -3)/(0 + -1) 1 What is (-27)/(-70) + (-6)/21? 1/10 What is the value of ((-16)/3)/(-4)*(-3)/7? -4/7 Calculate 10/(-8) - 378/(-360). -1/5 Evaluate ((-18)/(-15))/(-3) + (-960)/(-1650). 2/11 12 - 8 - ((-19)/(-3) + -2) -1/3 96/(-36)*2/(-8) 2/3 What is the value of 3/(6/14 - (46 + -46))? 7 What is the value of (-13 - 1564/(-119)) + 54/14? 4 (912/3648)/((-19)/12 + 1) -3/7 Evaluate (-13 + 630/40)*-4. -11 2*(-3)/30*135/36 -3/4 Evaluate ((-7)/(-35) - 6/(-20))/(-1). -1/2 4 - ((-165)/(-21) + -4) 1/7 What is the value of 26/9 + 5/(-1) + 2? -1/9 Evaluate ((-2)/(-1))/((-19)/(65 + 11)). -8 (-3 - 3)*-1 + 252/(-54) 4/3 What is (144/(-60) - 2/(-5)) + 4? 2 ((-156)/51 + 3)*2 -2/17 What is (-3 - 2) + 40/4? 5 (2/(-8))/((-12)/80) 5/3 Evaluate ((-14)/(-4) - 5)/(9/24). -4 Calculate (-1)/(17/(-66)) - (-14 - -18). -2/17 0/((6 - (-112)/(-20))*5) 0 Evaluate 50/14 + (-130 - -126). -3/7 What is (36/1449)/(2/7)? 2/23 Evaluate 1/(-8)*(6 + -7). 1/8 What is (-4)/5 - 429/(-55)? 7 What is 5/15*30/(-45)? -2/9 What is 2*(-3)/42 - (-1100)/350? 3 Evaluate ((12/(-15))/(-4))/(24/(-80)). -2/3 Calculate (-3)/(-2)*-2 - (-33)/9. 2/3 What is the value of (-12)/(-24) - (-2)/8? 3/4 What is 3*(-3 - (-7 - -6))? -6 Evaluate (-5 - (-77)/(-7)) + 9. -7 Evaluate ((-2)/6)/((-25)/375). 5 (14/(-6) - -3)/((-84)/18) -1/7 What is (0 + -5 + 0)*1? -5 What is -4*(7 - (-29)/(-4))? 1 5/(35/2) + (-24)/133 2/19 Evaluate 5207/(-13970) - (-6)/22. -1/10 Evaluate 4/(-6) - (-4)/(240/55). 1/4 Calculate (-4)/(-24)*18/4. 3/4 What is the value of -8 - ((-15 - -14) + 180/(-28))? -4/7 Calculate 9/(-5) - ((-136)/20 - -6). -1 What is ((-15)/(-50))/((-3 - -1) + -1)? -1/10 38/(-133)*7*-1 2 Evaluate ((-16)/5)/(0 - -1) - -4. 4/5 What is the value of -1 + 8 + 0*7/7? 7 What is -13 - 7*(-24)/56? -10 ((-99)/44)/((27/24)/(-3)) 6 Evaluate -5 - ((-39)/91 - 67/7). 5 What is the value of (-39)/(-13) - (9 - 0)? -6 Calculate (-8)/(16/(-10))*-1. -5 What is the value of -1 - 3/(-5) - 44/(-10)? 4 28/9*5/((-40)/(-6)) 7/3 What is the value of (-1 - -8)*(-52)/(-91)? 4 What is the value of (-4 - 0) + 817/172? 3/4 Calculate (126/30 - 3)/((-2)/5). -3 What is the value of 48/(-32) - (-9)/10? -3/5 What is the value of 2 + 192/(-18) - -8? -2/3 Evaluate ((-5)/(30/4))/((-46)/69). 1 (29/522)/(3/(-63)) -7/6 (-47 - -48) + (-1 - 1) -1 What is the value of 6/(-16) + 51*1/(-120)? -4/5 18/30*(-12)/54 -2/15 ((-1)/(-24))/(6/24) 1/6 What is the value of ((-56)/(-168))/((-2)/12)? -2 Evaluate (2*12/8)/3 + 5. 6 (3/(57/(-74)) - 0) + 4 2/19 1/(-34)*12*4/12 -2/17 1411/(-1700) - (-6)/8 -2/25 -5*(3108/390 + -8) 2/13 Evaluate (4/(-18))/((-6)/9). 1/3 (-3 + (-196)/(-63))*6/4 1/6 What is the value of (4/6 - 2/(-6))/3? 1/3 (-13)/3 + 9*(-32)/(-48) 5/3 What is -1*((-60)/18*1 + 2)? 4/3 What is the value of (-32)/20*-5 - 12? -4 Calculate 2378/(-984) - 2/(-24). -7/3 (4/2)/(8/(-28)) -7 Evaluate (-4 + (11 - 4))/(13/39). 9 Calculate 2 + 6 - (16 - (8 + -7)). -7 (14/49)/(1/(-7) + 0) -2 13/(-3) - (-3)/(5 + 4) -4 Calculate 1/3*(-1 + -3). -4/3 What is (-1)/(((-9)/(-6))/3)? -2 1633/(-355) - 4/10 -5 What is (-17)/33 + (-136)/(-748)? -1/3 (-225)/100 - 3*2/(-3) -1/4 What is the value of (-117)/(-1430)*5 + (-1)/2? -1/11 Calculate -3*2*5/(-30). 1 What is the value of (7/3 + 0)*(-110)/385? -2/3 What is the value of -8 - 1
{ "pile_set_name": "DM Mathematics" }
14 PM? 7:43 AM What is 372 minutes after 9:53 PM? 4:05 AM How many minutes are there between 9:10 PM and 4:06 AM? 416 How many minutes are there between 2:30 PM and 1:58 AM? 688 What is 325 minutes after 5:26 AM? 10:51 AM How many minutes are there between 3:01 PM and 10:00 PM? 419 What is 689 minutes after 4:34 AM? 4:03 PM How many minutes are there between 8:13 PM and 7:18 AM? 665 What is 305 minutes before 10:13 PM? 5:08 PM How many minutes are there between 3:00 AM and 1:55 PM? 655 What is 501 minutes after 12:50 AM? 9:11 AM How many minutes are there between 7:24 PM and 8:14 PM? 50 What is 353 minutes before 9:31 AM? 3:38 AM How many minutes are there between 1:45 AM and 5:40 AM? 235 How many minutes are there between 9:34 PM and 6:33 AM? 539 What is 194 minutes before 5:20 PM? 2:06 PM What is 209 minutes after 5:30 PM? 8:59 PM How many minutes are there between 12:23 AM and 10:28 AM? 605 What is 661 minutes before 1:30 PM? 2:29 AM What is 558 minutes after 12:10 AM? 9:28 AM How many minutes are there between 10:59 AM and 12:56 PM? 117 How many minutes are there between 9:52 PM and 4:18 AM? 386 How many minutes are there between 5:38 AM and 10:38 AM? 300 How many minutes are there between 6:21 PM and 6:59 PM? 38 How many minutes are there between 12:02 AM and 4:12 AM? 250 What is 699 minutes before 4:11 AM? 4:32 PM What is 587 minutes before 11:20 PM? 1:33 PM How many minutes are there between 8:44 PM and 2:05 AM? 321 What is 693 minutes after 5:44 AM? 5:17 PM How many minutes are there between 2:30 PM and 5:47 PM? 197 How many minutes are there between 3:35 PM and 9:48 PM? 373 What is 126 minutes after 4:52 PM? 6:58 PM What is 453 minutes before 10:14 AM? 2:41 AM How many minutes are there between 3:43 AM and 7:38 AM? 235 What is 104 minutes before 5:20 AM? 3:36 AM What is 252 minutes before 9:47 PM? 5:35 PM What is 102 minutes before 11:36 PM? 9:54 PM How many minutes are there between 10:02 PM and 10:44 PM? 42 What is 444 minutes after 3:31 PM? 10:55 PM What is 115 minutes after 4:19 AM? 6:14 AM How many minutes are there between 2:49 AM and 11:44 AM? 535 What is 660 minutes after 2:31 PM? 1:31 AM How many minutes are there between 6:18 AM and 4:14 PM? 596 What is 459 minutes after 8:53 AM? 4:32 PM What is 702 minutes after 8:54 PM? 8:36 AM How many minutes are there between 3:28 AM and 3:08 PM? 700 How many minutes are there between 2:16 AM and 8:32 AM? 376 How many minutes are there between 9:52 PM and 9:47 AM? 715 How many minutes are there between 6:47 PM and 5:17 AM? 630 What is 386 minutes before 6:06 AM? 11:40 PM How many minutes are there between 12:18 AM and 11:22 AM? 664 What is 317 minutes after 2:51 PM? 8:08 PM What is 139 minutes after 7:44 AM? 10:03 AM How many minutes are there between 12:13 PM and 1:24 PM? 71 How many minutes are there between 4:47 AM and 6:23 AM? 96 What is 264 minutes after 2:49 PM? 7:13 PM How many minutes are there between 5:40 AM and 1:28 PM? 468 How many minutes are there between 8:48 AM and 3:49 PM? 421 How many minutes are there between 7:48 PM and 12:01 AM? 253 What is 467 minutes before 5:09 AM? 9:22 PM What is 430 minutes before 9:32 PM? 2:22 PM What is 117 minutes after 3:09 PM? 5:06 PM What is 572 minutes after 7:07 PM? 4:39 AM What is 149 minutes before 5:11 PM? 2:42 PM What is 616 minutes before 5:57 AM? 7:41 PM How many minutes are there between 1:21 AM and 10:27 AM? 546 How many minutes are there between 3:54 PM and 8:28 PM? 274 How many minutes are there between 7:24 AM and 9:56 AM? 152 What is 291 minutes before 2:53 PM? 10:02 AM What is 41 minutes before 6:10 AM? 5:29 AM What is 605 minutes before 9:35 PM? 11:30 AM How many minutes are there between 11:14 AM and 9:50 PM? 636 What is 557 minutes before 6:31 PM? 9:14 AM How many minutes are there between 7:19 PM and 2:56 AM? 457 How many minutes are there between 5:39 AM and 12:47 PM? 428 How many minutes are there between 2:22 PM and 4:25 PM? 123 What is 605 minutes after 9:37 AM? 7:42 PM What is 526 minutes after 1:41 AM? 10:27 AM How many minutes are there between 2:17 AM and 7:10 AM? 293 How many minutes are there between 1:48 AM and 5:17 AM? 209 How many minutes are there between 1:24 PM and 8:36 PM? 432 What is 240 minutes after 8:14 PM? 12:14 AM How many minutes are there between 7:17 PM and 8:11 PM? 54 How many minutes are there between 5:14 PM and 9:10 PM? 236 What is 320 minutes before 4:32 PM? 11:12 AM What is 202 minutes before 5:21 PM? 1:59 PM What is 432 minutes after 10:33 PM? 5:45 AM How many minutes are there between 2:24 AM and 3:12 AM? 48 How many minutes are there between 9:53 PM and 8:23 AM? 630 What is 502 minutes after 6:20 PM? 2:42 AM What is 354 minutes before 4:56 AM? 11:02 PM What is 203 minutes after 4:19 PM? 7:42 PM How many minutes are there between 3:01 PM and 2:11 AM? 670 What is 69 minutes after 11:48 PM? 12:57 AM How many minutes are there between 11:02 PM and 3:48 AM? 286 How many minutes are there between 2:26 PM and 10:02 PM? 456 How many minutes are there between 10:00 PM and 3:17 AM? 317 What is 528 minutes before 11:02 PM? 2:14 PM How many minutes are there between 6:02 PM and 11:23 PM? 321 What is 360 minutes after 6:25 PM? 12:25 AM How many minutes are there between 2:08 PM and 9:50 PM? 462 How many minutes are there between 12:15 PM and 1:24 PM? 69 How many minutes are there between 1:38 PM and 11:10 PM? 572 What is 707 minutes after 10:10 PM? 9:57 AM What is 546 minutes before 2:30 AM? 5:24 PM What is 331 minutes before 4:06 AM? 10:35 PM How many minutes are there between 9:17 AM and 11:29 AM? 132 How many minutes are there between 8:09 AM and 7:12 PM? 663 How many minutes are there between 3:14 PM and 2:35 AM? 681 How many minutes are there between 12:46 PM and 9:59 PM? 553 How many minutes are there between 10:58 PM and 12:42 AM? 104 How many minutes are there between 7:04 AM and 11:01 AM? 237 What is 672 minutes before 5:29 PM? 6:17 AM What is 144 minutes after 10:42 AM? 1:06 PM How many minutes are there between 12:11 AM and 7:37 AM? 446 What is 669 minutes before 12:41 AM? 1:32 PM How many minutes are there between 11:18 AM and 1:15 PM? 117 What is 706 minutes before 4:47 PM? 5:01 AM How many minutes are there between 1:46 AM and 11:41 AM? 595 How many minutes are there between 8:13 PM and 5:05 AM? 532 What is 625 minutes after 2:59 AM? 1:24 PM How many minutes are there between 7:26 PM and 8:28 PM? 62 What is 98 minutes after 11:07 PM? 12:45 AM What is 607 minutes before 10:50 AM? 12:43 AM How many minutes are there between 1:26 PM and 2:26 PM? 60 How many minutes are there between 1:38 PM and 8:37 PM? 419 How many minutes are there between 7:00 AM and 6:32 PM? 692 What is 202 minutes after 2:25 AM? 5:47 AM What is 373 minutes after 1:05 PM? 7:18 PM How many minutes are there between 6:26 AM and 7:08 AM? 42 How many minutes are there between 11:16 PM and 9:50 AM? 634 What is 682 minutes after 8:05 AM? 7:27 PM What is 44 minutes after 10:35 AM? 11:19 AM How many minutes are there between 5:53 PM and 11:59 PM? 366 What is 525 minutes after 9:10 PM? 5:55 AM How many minutes are there between 9:04 PM and 5:26 AM? 502 How many minutes are there between 12:20 PM and 1:11 PM? 51 What is 573 minutes before 2:45 AM? 5:12 PM What is 128 minutes before 11:06 AM? 8:58 AM How many minutes are there between 5:58 AM and 1:17 PM? 439 How many minutes are there between 7:33 PM and 2:59 AM? 446 How many minutes are there between 5:39 PM and 7:07 PM? 88 What is 617 minutes before 11:19 PM? 1:02 PM How many minutes are there between 1:09 AM and 12:55 PM? 706 What is 223 minutes after 7:57 PM? 11:40 PM What is 507 minutes after 12:58 PM? 9:25 PM What is 459 minutes after 8:57 AM? 4:36 PM How many minutes are there between 12:48 AM and 8:38 AM? 470 How many minutes are there between 1:50 AM and 11:59 AM? 609 How many minutes are there between 11:39 AM and 1:46 PM? 127 What is 385 minutes after 10:08 PM? 4:33 AM What is 609 minutes after 1:04 PM? 11:13 PM What is 675 minutes before 6:32 AM? 7:17 PM What is 128 minutes after 4:09 AM? 6:17 AM How many minutes are there between 3:12 PM and 4:55 PM? 103 How many minutes are there between 1:15 PM and 12:17 AM? 662 What is 318 minutes after 8:12 AM? 1:30 PM Ho
{ "pile_set_name": "DM Mathematics" }
2*l + 3*l)*(1 - 1 + 1) + l + 0 + 0 + l + 3*l - 1 - 7*l. -l - 1 Expand 6*u + 0*u + 0*u + (0*u - 2*u + 0*u)*(4 - 2 - 1). 4*u Expand -5*u + 6 - 6 + (-u + 2*u + 0*u)*(1 - 1 + 2) + (3*u + 0*u - u)*(-3 + 7 - 3) + 0*u - 2*u + 3*u + 2*u + 0*u - 3*u - 2 + 1 - 2*u + 0. -3*u - 1 Expand (-3 + 4 - 2)*(66 - 66 + 5*l)*(-6 + 1 + 1)*(-l - 4*l + 3*l). -40*l**2 Expand (6*b**2 - 3 + b**2 - 2*b**2)*(-2 - 2*b + 2). -10*b**3 + 6*b Expand (-i + 0*i + 2*i)*(2 - 5 + 1 + i)*(-3 + 2 - 2). -3*i**2 + 6*i Expand (5 + 0 - 1)*((-3 + 3 - n)*(-3 + 1 + 1) + n - 1 + 1 + n - 2*n + 2*n + n - 3*n + 3*n). 16*n Expand (2 + 3 - 4)*(0 + 2*x**2 + 0) + (0 + 0 - 1)*(0*x + 0*x + 4*x**2) + 2*x**2 + 0*x**2 - 3*x**2. -3*x**2 Expand ((-2 - 2*m + 2)*(-m + 0 + 0) + 2*m**2 - 3*m**2 + 2*m**2)*(14*m**3 - 32*m**3 + 14*m**3). -12*m**5 Expand ((2 - 6 + 2)*(-2 + 2 - 2) - 12 + 0 + 4)*(-3*z**5 + 2*z**5 + 3*z**5). -8*z**5 Expand (4 + g - 4)*(-3*g + g + 3*g) + 0*g**2 + 3*g**2 + 0*g**2 + (3*g - 2*g - 2*g)*(3*g + 5*g - 6*g) + 6*g**2 - 24*g**2 - 10*g**2. -26*g**2 Expand (-5*n + 5*n - 4*n**2)*((3 - 2 + 0)*(3 + 1 - 3) - 1 + 2 - 3). 4*n**2 Expand -2*q - 3*q**4 + 2*q + q - 11 + q**4 + 11 + 0*q**4 + 3*q**4 - q**4 + (0 + 0 - q**3)*(2*q - 3*q + 3*q) + 0*q**2 + 0*q**2 + q**4. -q**4 + q Expand (2*v - 2*v + 3*v**4)*(-2*v - v + 2*v) - v**5 + 2*v**5 - 3*v**5 - 4*v**3 - v**5 + 4*v**3 + 7*v**4 - 5*v**5 - 7*v**4. -11*v**5 Expand (0*b**2 - b**2 - b**2)*(6*b - 4*b**3 + b**2 - 6*b) - 2*b**5 - b**5 + b**5. 6*b**5 - 2*b**4 Expand (-l**3 + 2*l**3 - 4*l**3)*((4*l - l - l)*(l + 0*l - 2*l) + 3*l**2 - 4*l**2 + 7*l**2). -12*l**5 Expand 2*b**2 - 2*b**2 + 3*b**2 - 2*b**2 + 0*b**2 - 2*b**2 + 0*b**2 - b**2 + 0*b**2 + (b + 2*b - 5*b)*(2*b + 3 - 3). -6*b**2 Expand 0*g**3 - 33*g**3 - 68*g**3 + (2*g + g - 2*g)*(2 - 2 + 2*g**2) + g**3 - 1 + 1. -98*g**3 Expand (-2*z**2 + 3*z**2 - 2*z**2)*(9*z + 0 + 0) + 4*z**3 + 0*z**3 + z**3. -4*z**3 Expand (-2 + 2*v + 2)*(-4*v**4 + 5*v**4 - 2*v**4)*(-22 + 72 + 8). -116*v**5 Expand (9*h - 1 + 1)*(-5 - 1 + 4) + (-h - 2 + 2)*(-4 - 1 + 4) + 4*h - h + 0*h. -14*h Expand (2 + 0 - 3)*(11 - 7 + 6)*(2*d + 0 + 0). -20*d Expand (10*r**3 - 15*r**3 + 4*r**3)*(3 - 1 - 1)*(0*r + 3*r - 4*r). r**4 Expand (5*t**3 - 5*t**3 + t**3)*(-2*t - t**2 + 2*t) + (2*t**2 - 3*t**2 + 4*t**2)*(-3*t**3 - t**2 + t**2). -10*t**5 Expand (-1 - 2 - s - 2)*(-2*s - s + s). 2*s**2 + 10*s Expand (0*s**2 - 2*s**4 + 0*s**2)*(2*s - 19*s - 12*s). 58*s**5 Expand (-4 + 1 + 5)*(6*t - t - 3*t) - 11 + 11 + t. 5*t Expand (-2 + 2 - v)*(-3*v - 11 + 8*v - 3*v). -2*v**2 + 11*v Expand (46*l + 84*l - 55*l)*(2*l**3 - l**2 + l**2). 150*l**4 Expand h**5 + h**5 - h**5 + (-2*h**5 - h + h)*(-2 + 6 - 3). -h**5 Expand 3*t**3 - 2*t**5 - 3*t**3 + (0*t**4 - 2*t**4 - t**4)*(t + 3*t - t)*(-1 + 3 - 1). -11*t**5 Expand (-5*v**2 - 5*v**3 + 5*v**2)*(1 - 6 + 2). 15*v**3 Expand (-n**2 + 5*n**2 - 2*n**2 + (-5*n + n + 2*n)*(-2 - 2*n + 2))*(-4 + 2 + 0). -12*n**2 Expand (7 - 7 - 2*r**2 - 5*r**2 - r**2 + 4*r**2 + 5*r**2 - 2*r**2 - r**2 + (2*r + 2 - 2)*(-3*r + r + 0*r) + 4 - r**2 - 4)*(-5*r - 3*r + 5*r)*(-2*r - 2*r + 3*r). -21*r**4 Expand (15 - 4 + 3)*(0*z + z + z). 28*z Expand (-l**3 + 2*l**3 - 2*l**3)*(l - 3*l + 3*l) + (l**3 - 2 + 2)*(-5*l + 4*l + 3*l) + 2*l + 12*l**4 - 2*l. 13*l**4 Expand (12*s - s + 4*s)*(6*s**3 - 3*s**3 - 2*s**3 + (2*s**2 - 3*s**2 + 0*s**2)*(2*s - 1 + 1) - s**3 - 2*s**3 + 2*s**3 + 2 - s**3 - 2). -45*s**4 Expand (-6*u + u + u)*(-2*u**2 - 4*u**2 + 4*u**2 - u**2 + 5*u - 5*u + (-2 - 2*u + 2)*(-u + 0*u + 3*u) + 4*u**2 + u**2 - 3*u**2). 20*u**3 Expand -k**2 + k - k + (2*k + 0 + 0)*(3 - 3 - 2*k) + (-3 + 3 + 2*k**2)*(2 + 11 - 10). k**2 Expand -u**2 - u + u + (-3 - 2*u + 3)*(-3*u + 5*u - 5*u) + u**2 + 2 - 2. 6*u**2 Expand (-2*a - 2*a + 3*a)*(3 + 3 - 4) + (4 - 4 + 2*a)*(-2 + 3 + 0) - 9 + 3*a + 9. 3*a Expand (3*d - 3*d - 4*d)*(-2*d**4 - d + d) + (2*d**4 + 0*d**4 - 6*d**4)*(-6*d + d + 2*d). 20*d**5 Expand (2 - j**5 - 2)*(-6 + 11 + 5)*(2 - 6 + 3). 10*j**5 Expand (-w**3 - w**3 + 4*w**3)*(w + 0*w + w)*(-8*w - 5*w - 4*w). -68*w**5 Expand (-4 + 0 + 2)*(2*h - 3*h - h) + 2*h - 2*h + 2*h + 3*h - 3*h + h + (-2 - 3 + 3)*(-2*h - 1 + 1). 11*h Expand -15*x**5 + 7*x**5 + 9*x**5 - 19*x + (-3*x**2 + 3*x**2 + 2*x**3)*(-4*x**2 + 6*x**2 + 0*x**2). 5*x**5 - 19*x Expand 0*t**3 + t**3 + t**3 - t**3 + 4*t**3 + t**3 + t**3 - 3*t**3 + 3*t**3 + (3*t - 4*t - t)*(-2 + 2 + t**2) - 27*t**3 + 0*t**2 - 2*t**2 + 29*t**3. 7*t**3 - 2*t**2 Expand (-2*n + n - n**2 - n)*(-1 + 4 - 1)*(-2*n + 0 + 0). 4*n**3 + 8*n**2 Expand (3*u - 2*u + 4*u)*(-1 - 1 + 0)*(1 - 1 + u + 2). -10*u**2 - 20*u Expand (-13 - 15 + 5)*(4*m + 2*m - 5*m) - 6*m + m + 3*m + (3 - 3 - 2*m)*(-1 + 3 - 1). -27*m Expand (3*b**3 + 3*b**3 - 3*b**3)*(2*b**2 - 8 - 8 + 18). 6*b**5 + 6*b**3 Expand -992*f**2 - 92*f + 493*f**2 + 498*f**2 + (-2*f - 2*f**2 + 2*f)*(-3 + 2 + 3). -5*f**2 - 92*f Expand -6*w**2 + 2*w**3 + 6*w**2 + 1 + w**3 - 1 + (2*w**2 + w - w)*(3*w - w - 4*w). -w**3 Expand (0*y + 4*y - 2*y)*(0 + 0 - y) + (y + 3 - 3)*(-12*y + 28 - 28). -14*y**2 Expand (-2 + 2 + 2)*(o**2 - 4*o**3 - o**2). -8*o**3 Expand (0*x - 4*x + 6*x)*(2*x**3 - x**2 + x**2) + (1 + 1 - 3)*(4*x**4 + 0*x**4 - 5*x**4) + x**4 - 3 + 3. 6*x**4 Expand (-i + 4 - 4)*(-2 + 2 - 1) + (-4 + 3 + 3)*(-3*i + 6*i + 4*i). 15*i Expand (3*f - 3*f + 2*f)*(f + 0*f - 2*f) + (3*f - 4*f + 2*f)*(-6*f + 0*f - f). -9*f**2 Expand (4*o**2 - 3*o**2 + 0*o - o)*(5*o**2 + 2*o**2 - 3*o**2). 4*o**4 - 4*o**3 Expand -6*w + 2*w + 3*w + (0 - 3 + 4)*(-w - w + 0*w) + (w - 3 + 3)*(2 - 5 + 4). -2*w Expand (-2*s**4 + 2*s**4 + 2*s**4 - 3*s**4 - 2*s**4 + 3*s**4 + (3*s**3 + 3*s**3 - 4*s**3)*(2*s - 2*s - s) + (1 - s**2 - 1)*(-1 - s**2 + 1))*(4*s - 2 + 2). -4*s**5 Expand (0 + 2*f + 0)*(-2 + 2 - 2*f) - 1 - 2*f**2 + 0 - f**2. -7*f**2 - 1 Expand -l + l - l**5 + (0 + 0 + 2*l**3)*(-2*l**2 + 2*l**2 - 2*l**2) - 4*l**5 + l**5 + l**5 - 3 - l**5 + 3 + (3*l**4 - 4*l**4 + 0*l**4)*(-5*l + l + 2*l). -6*l**5 Expand 2*b - 12*b - 2 + 8*b + (1 + b - 1)*(-20 + 12 + 17). 7*b - 2 Expand (4 - 4 + 1)*(-y**2 + 2*y**2 - 2*y**2)*(-14 + 13*y + 14). -13*y**3 Expand -3*y + 2*y**2 + 3*y + (6*y + y - 5*y)*(0 + 0 + y) + 3*y**2 - 5*y**2 + 0*y**2 + 9*y + 2*y**2 - 9*y. 4*y**2 Expand (0 - 7*n**3 + 0)*(-8 + 8 - 4*n). 28*n**4 Expand (-5*t + 3*t + t)*(t**3 - t**3 - 4*t**3 + 2*t**4). -2*t**5 + 4*t**4 Expand (2*x - 2*x + x**2)*(-7 + 15 + 2*x - 4). 2*x**3 + 4*x**2 Expand (-3*q + 6*q - 2*q)*(-20*q**4 - 156*q**2 + 156*q**2). -20*q**5 Expand (2*k**4 - 2*k + 2*k)*(-4 + 6 - 3) + 1 - 814*k**2 + 814*k**2 + 6*k**4 - 2*k**3. 4*k**4 - 2*k**3 + 1 Expand (-2*o + 4*o**2 - o**2 - 2*o**2)*(-6 + 6 - 4*o). -4*o**3 + 8*o**2 Expand -1 + 1 + t - 1 + 2*t + 1 + 2*t - 4*t + t - 4*t + t + t + (-2*t + 5 - 5)*(-2 + 1 + 3) + 2*t + 2*t - 5*t + (-3 + 0 + 0)*(-2 + 1 + 0)*(0 + 0 - t). -8*t Expand (n + 3*n - 5*n)*(2 + 3 - 3) + 0*n + n - 2*n + 0 + 0 - 14*n + 0*n + n + 0*n + (1 - 1 - 2*n)*(2 + 0 + 0). -20*n Expand -d**2 + 0*d + 0*d + 3*d**2 - d**2 + 0*d**2 + (d - d**2 - d)*(-5 + 4 + 0). 2*d**2 Expand (-a**3 + a**2 - a**2)*(-1 - 1 + 0)*(106*a - 106*a - 3*a**2). -6*a**5 Expand (2 - 2 + p)*(-54 + 49*p**2 + 54). 49*p**3 Expand (t - 4*t + 0*t)*(-2*t - 3 + 3) + (4 + 2*t**2 - 4)*(2 - 3 - 3). -2*t**2 Expand (w + w**4 - w)*(0 + 1 - 3)*(4*w + 9*w - 5*w). -16*w**5 Expand (-6*i + 4*i + 3*i)*(3*i**3 - 1 + 1) + (-2*i - 2*i**3 + 2*i)*(0*i + 0*i + 2*i). -i**4 Expand (n + 0*n + n)*(0 - 3 + 4) - n - 2*n + 2*n + (1 - 2 + 0)*(-n - 4 + 4) + n + 0 + 0 + 3*n - 4*n - n + 2*n + n + 0*n - 1 - n + 1. 3*n Expand (2*z - 4*z + z)*(5 + 1 - 4 + 1 - 3 + 0 + (-1 + 1 + 1)*(-1 + 0 - 3)). 4*z Expand (0 + 0 + 2)*(-s**2 - 3 + 6 + 2*s**2). 2*s**2 + 6 Expand (-1 + 2 + 4)*(4*n - 2*n - n) - 3*n - n + 3*n + (4 + 0 - 2)*(n + 2 - 2) + 3*n - 6*n + 2*n. 5*n Expand (-3 + 2 + 2)*(-j**2 + j**2 - 2*j**2) + j**2 + 23*j - 21*j + 2*j**2. j**2 + 2*j Expand (-a**2 + a**2 + 2*a**2)*(4 - 4 + 2)*(a + 10*a - a). 40*a**3 Expand (2*t**2 - t**2 - 2*t**2)*(-5 + 3 + 3 + (-4 + 5 + 1)*(2 + 0 - 3) - 2 + 0 + 0 + 0 - 1 + 0). 4*t**2 Expand -2*f**4 - 9*f - 2*f**2 + 9*f + 3*f**4 + 3*f**4 - 4*f**4 + (0*f**4 - 2*f**4 + f**4)*(-2 - 3 + 4). f**4 - 2*f**2 Expand -4*v**3 + 2*v**3 + 0*v**3 - 2*v**3 - 1 + 1 + (-v**3 + 3*v**2 - 3*v**2)*(3 - 3 + 1) + v**3 - v**3 - 2*v**3 + (2*v - 7*v + 2*v)*(-5*v**2 + v**2 + 6*v**2). -13*v**3 Expand 0*a**2 - 2*a**2 + a**2 + (-a + a + a**2)*(2 + 1 - 1) + 3*a
{ "pile_set_name": "DM Mathematics" }
. 1800*b**3*m**3 + 912*b*m**3 Find the second derivative of 371*b**2*w**3 - b - 170*w**3 wrt b. 742*w**3 Find the second derivative of u**2*x**3 + 103*u**2*x - 6*u*x**2 - 2*u*x - 16*x**4 wrt x. 6*u**2*x - 12*u - 192*x**2 Find the third derivative of -361*h**5 - 468*h**2 wrt h. -21660*h**2 Differentiate -2*f**4 + 34*f*g - 8*g - 39 with respect to f. -8*f**3 + 34*g What is the third derivative of -2*m*t**6 - m*t + 6*m + 4675*t**6 - 2*t**2 wrt t? -240*m*t**3 + 561000*t**3 Find the third derivative of 840*f**6 - 9*f**2 + 59*f. 100800*f**3 Find the second derivative of 40*j*u**5 - 31*j*u - 3*u wrt u. 800*j*u**3 What is the third derivative of -k**5 - 1385*k**4*y**2 + k**2*y**2 - 948*k wrt k? -60*k**2 - 33240*k*y**2 What is the derivative of 127*g**3 - 81 wrt g? 381*g**2 What is the third derivative of -7174*f**6 - 2*f**3 - 29*f**2 - 7*f - 5? -860880*f**3 - 12 What is the third derivative of -20564*w**3 + 10*w**2 - w - 371 wrt w? -123384 Find the second derivative of 51*f**3*p**3 - 7*f**3*p + 3*f**2*p**3 + 3*f**2*p + f*p**3 - 30*p wrt p. 306*f**3*p + 18*f**2*p + 6*f*p What is the second derivative of -22*o**3*t + 3*o**3 + 2*o**2*t - 4*o**2 - 19*o*t - 3*o + t wrt o? -132*o*t + 18*o + 4*t - 8 Differentiate 51*p**2*u**2 + p**2*u - 174*p**2 wrt u. 102*p**2*u + p**2 Find the third derivative of 2*d**4*i - d**4*w - 3*d**3*i + d**3*w + 4*d**2*w + d*i + 15*i*w wrt d. 48*d*i - 24*d*w - 18*i + 6*w Find the third derivative of -9852*f**3 - 1805*f**2 wrt f. -59112 What is the second derivative of -930*n**5 + 508*n? -18600*n**3 Differentiate -4*f**2 + 6*f*g**3 + 5*f*g**2 + 21*g**3 - 4*g wrt f. -8*f + 6*g**3 + 5*g**2 Find the second derivative of a*q**3 + 419*a*q**2 - 2*a*q - 50*a - q**3 - 2*q**2 - 42*q + 2 wrt q. 6*a*q + 838*a - 6*q - 4 Differentiate -223*b*y - 2*y + 32 with respect to b. -223*y What is the third derivative of 287*q**6 + 4*q**2 + 135? 34440*q**3 Differentiate -155*o**2 - 2*o + 51. -310*o - 2 Differentiate 2*j**2 + 1042*j*o**2 - 2*o**2 - 8437*o with respect to j. 4*j + 1042*o**2 Differentiate -1094*i**4 + 624 wrt i. -4376*i**3 What is the third derivative of -2*w**5 + w**4*z + 248*w**3*z - 6*w**2*z - w*z + 6*w wrt w? -120*w**2 + 24*w*z + 1488*z What is the third derivative of 160*d**3*n**3*q**2 + 22*d**3*n*q**2 + 2*d**2*n*q**2 - 2*d**2*n*q - 418*n**3*q**2 wrt d? 960*n**3*q**2 + 132*n*q**2 What is the third derivative of -2*u**3*y**3 + 7*u**3*y**2 - 2*u**3 - u**2*y**3 + 3*u*y**6 + 3*u*y**2 wrt y? -12*u**3 - 6*u**2 + 360*u*y**3 What is the third derivative of -9*c**5 + 2*c**3*f**3 + 2*c**3*f + 55*c**2*f**3 - 2*c*f**3 wrt c? -540*c**2 + 12*f**3 + 12*f What is the second derivative of -1826*g**2*t**2*w**2 + g*t**2*w + 6*g*t**2 - 4*g*t*w**2 wrt g? -3652*t**2*w**2 What is the third derivative of -3761*x**4 - 2*x**3 + 698*x**2 - 4? -90264*x - 12 Differentiate 3*a*l**3*x**3 - 16*a*x**3 - 15*l**3*x + 6*l**2*x**3 with respect to a. 3*l**3*x**3 - 16*x**3 What is the second derivative of -2695*g**4 - 283*g + 2 wrt g? -32340*g**2 What is the third derivative of 95*h**6 + 6*h**5 + 2*h**2 - 132*h wrt h? 11400*h**3 + 360*h**2 Find the second derivative of 576*b*f**2 - 367*b*f - 2*f - 1 wrt f. 1152*b What is the first derivative of 157*s*v + 2*s + 2*v**2 + v + 288 wrt v? 157*s + 4*v + 1 What is the first derivative of -2*i**2*r**3 - 3*i*r**3 - 3*i*r**2 + r**3 - 199 wrt i? -4*i*r**3 - 3*r**3 - 3*r**2 What is the second derivative of -2*p**3*w**2 - 16*p**3*w - 20*p**2*w**3 - 9*p**2 wrt w? -4*p**3 - 120*p**2*w Find the third derivative of 5572*k**3 + 5398*k**2 - 2 wrt k. 33432 Differentiate 14*k**3*p - 30*k**3 - 32*p - 22 with respect to k. 42*k**2*p - 90*k**2 Find the second derivative of 187*k*y**2 - 37*k*y + 2*y**3 + 4*y wrt y. 374*k + 12*y What is the second derivative of -4616*o**3 + 13*o - 24? -27696*o What is the third derivative of -40*m**5*x + 32*m**4 - 2*m**2*x - 4*m**2 - 408 wrt m? -2400*m**2*x + 768*m Find the second derivative of 2*c**3*g*q**3 + 2*c**3 + 480*c**2*q**3 - 3*c*q - 213*g*q**3 + g*q**2 wrt c. 12*c*g*q**3 + 12*c + 960*q**3 Find the third derivative of 2*h*o**3*p**3 + 8*h*o**2*p**3 + 2*h*o**2*p - h*o + h*p**3 + o**3*p + 6*p**2 wrt p. 12*h*o**3 + 48*h*o**2 + 6*h Find the first derivative of 14*q**2*r**2 + 130*q*r**2 + 4632*r**2 wrt q. 28*q*r**2 + 130*r**2 Find the first derivative of -2*h**3*p**2 + 6790*h**3 - 922*p**3 wrt p. -4*h**3*p - 2766*p**2 Find the second derivative of -3*r**3*s**2*x**2 + 23*r**3*s*x**3 + 8*r**2*s**2*x**3 - r**2*s*x**2 - 2*s*x**3 wrt s. -6*r**3*x**2 + 16*r**2*x**3 Find the second derivative of 4*b**4 - b**2 + 739*b wrt b. 48*b**2 - 2 Differentiate 2*u**2*z**2 + 29*u**2 - u + 14*z**3 with respect to z. 4*u**2*z + 42*z**2 Find the first derivative of t**3 - t**2 + 135 wrt t. 3*t**2 - 2*t Find the second derivative of 2*m*p**2*r**3 + 2*m*p**2*r + 6*m*p*r - 2*m*r**2 - 45*m*r + 38*p**3*r**3 - 2*p**3 + 3*p**2*r wrt r. 12*m*p**2*r - 4*m + 228*p**3*r Find the third derivative of -2*j**6 + 59*j**3 - j**2 - 1198. -240*j**3 + 354 Find the second derivative of -877*i**2*z**3 - 2*i**2*z - 95*i*z**2 + 5*z**3 wrt i. -1754*z**3 - 4*z Differentiate 3*f**4*x + f**3*g**2 + 3*f*x + 35*g**2*x - 3*g**2 with respect to f. 12*f**3*x + 3*f**2*g**2 + 3*x Differentiate b**3*c + 14354*b**3 - 26*b**2*c + 62*b*c with respect to c. b**3 - 26*b**2 + 62*b Find the second derivative of -658*n**3 + 973*n. -3948*n Find the first derivative of -7*a*b + 5*a*i**2 + 38*a - 20*b*i**2 - 2*b*i wrt b. -7*a - 20*i**2 - 2*i What is the first derivative of -2*b**3*s - 342*b**3 + 342*b**2*s**2 wrt s? -2*b**3 + 684*b**2*s What is the first derivative of 2*c**2*y**3 + 197*c**2*y**2 + 176*c**2 wrt y? 6*c**2*y**2 + 394*c**2*y What is the second derivative of -203*r**5 - 5*r**3 - 5*r**2 - 15527*r? -4060*r**3 - 30*r - 10 What is the third derivative of 3*j*y*z**2 + j*y*z + 10*j*y + 2*j*z**4 - y*z**3 + 101*z**4 + z**3 + 2*z**2 wrt z? 48*j*z - 6*y + 2424*z + 6 What is the third derivative of 40*g**2*y**3 - 747*g**2*y**2 - 3*g**2*y + 19*g*y**4 wrt y? 240*g**2 + 456*g*y What is the third derivative of -60*q**6 + 92*q**2? -7200*q**3 Find the second derivative of f**2*r**3 - 25*f**2*r - 12*f**2 + 2*f*r**3 + 6*r**3 + 4*r wrt f. 2*r**3 - 50*r - 24 What is the first derivative of -1338*b**3 - 1607? -4014*b**2 Differentiate 4242*s**3*w**3 - 2*s**3*w + 1981*s**3 wrt w. 12726*s**3*w**2 - 2*s**3 What is the derivative of -21*f*k*z**3 - 30*f*k*z + k*z**3 - 17*k*z**2 + 7*k*z wrt f? -21*k*z**3 - 30*k*z What is the first derivative of o**3*p**3 - 272*o**2*p**3 - 107*p**3 + 3*p wrt o? 3*o**2*p**3 - 544*o*p**3 What is the first derivative of h**3*k*s - 2*h**3*k - 2*h**2*k*s - 25*h*k*s**2 + 721*h*k wrt s? h**3*k - 2*h**2*k - 50*h*k*s Find the second derivative of 14*v**5 - 13*v - 4 wrt v. 280*v**3 What is the third derivative of -2718*k**4 - 3*k**3 - 6*k**2 + 792*k? -65232*k - 18 Find the first derivative of 11*q*u**3 + 13*q*u - 122*q wrt u. 33*q*u**2 + 13*q Find the second derivative of 10*k**4 + 5*k**2 + 402*k. 120*k**2 + 10 Find the second derivative of -320*k**2*l + 200*k*l - k wrt k. -640*l Find the first derivative of 8372*o**2*r - 77*o**2 + 2*o + 1 wrt r. 8372*o**2 What is the third derivative of 1180*m**3*x**3 + 15*m**3*x**2 + 18*m**3 wrt x? 7080*m**3 Find the first derivative of -742*b*s - 1069*b wrt s. -742*b What is the second derivative of -c*o*u + 17*c*o - 565*c*u**3 + 2*c*u**2 + 3*o*u**3 - o*u + 9*o - u**3 - 2*u wrt u? -3390*c*u + 4*c + 18*o*u - 6*u What is the third derivative of -162*h**5 - 19*h**2 - 7*h? -9720*h**2 What is the first derivative of -r*t + r - t**3 + 4*t**2 - 28 wrt t? -r - 3*t**2 + 8*t Find the second derivative of -71*g**3*x + g*x + 2*g - 35*x wrt g. -426*g*x What is the second derivative of -5321*f**3*p**2 + 2*f**2*p**2 - 781*f*p**2 - 4*p**2 wrt f? -31926*f*p**2 + 4*p**2 What is the third derivative of -58*j**3 + 67*j**2? -348 Find the second derivative of 22262*q**2 - q - 987. 44524 Differentiate 7*d**2 + 2234*d - 25023 wrt d. 14*d + 2234 Find the second derivative of -36*b**2*g**5 - b**2 - 2*b*g**3 - 17*b + 2*g + 1 wrt g. -720*b**2*g**3 - 12*b*g Differentiate 3*d**2*p + 5*d**2*r**3 + 2*d**2*r**2 - 3*p*r**3 + 64*p*r with respect to d. 6*d*p + 10*d*r**3 + 4*d*r**2 Find the second derivative of 742*g*h**2*p**2 - g*h*p**2 - 14*g*p**2 - 14*h*p + p wrt h. 14
{ "pile_set_name": "DM Mathematics" }
793*r - 97724 - 96833 - 9233 = 0 for r. -30 Solve 522*q + 1652*q + 47740 = 4*q for q. -22 Solve -6103*u - 94359 = 125349 for u. -36 Solve 0 = 473*z - 2344 + 14169 for z. -25 Solve -13*f + 4368 = -63*f - 54*f + 13*f for f. -48 Solve -32120 = -57734*q + 58318*q for q. -55 Solve 4092*v + 60990 = 15978 for v. -11 Solve -30*x + 873115 = 873985 for x. -29 Solve -431*a + 13128 = 108*a + 555*a for a. 12 Solve 0 = -210098*j + 210359*j - 4176 for j. 16 Solve 7977 = -2060*z - 1800*z + 257 for z. -2 Solve -10279 = -724*k - 27655 for k. -24 Solve 79*m = -35*m - 64*m + 8010 for m. 45 Solve -333*j + 2989*j - 20421 = 64571 for j. 32 Solve -52*h - 2615 = 143 - 210 for h. -49 Solve 406*d - 679 - 8759 = 164*d for d. 39 Solve -627*q = 10971 + 9093 for q. -32 Solve 22710*y = 23801*y + 5671 - 73313 for y. 62 Solve 0 = 1072*c - 4120*c - 24384 for c. -8 Solve 312*k + 11574*k - 368445 = 721*k for k. 33 Solve 3269*w - 639864 = -1127*w - 2318*w - 2173*w for w. 72 Solve -1572*p - 857*p + 24651 + 48757 = -445*p for p. 37 Solve 334*f - 153*f = -292*f - 583*f for f. 0 Solve 108*a + 2135 = 21*a - 2041 for a. -48 Solve 146*w + 115091 = 127355 for w. 84 Solve -5094*u = -522374 - 99094 for u. 122 Solve 1373*d + 27587 - 204704 = 0 for d. 129 Solve -1373 = -237*s + 11001 + 6823 for s. 81 Solve 0 = 511767*g - 511815*g - 1200 for g. -25 Solve -5431 = 302*t + 194*t - 30849 - 28646 for t. 109 Solve 3913 = 7153*d - 7228*d - 4937 for d. -118 Solve 3353*d - 2234*d = 0 for d. 0 Solve -338730*r = -339060*r - 15510 for r. -47 Solve 252*r - 3204 = -235*r + 131*r for r. 9 Solve -3038*r - 2674*r + 635*r = 3434*r - 817056 for r. 96 Solve 14*i - 42504 = -22*i - 43872 for i. -38 Solve 1182 = 257*b + 22139 + 5000 for b. -101 Solve -109*r = 271*r + 130*r - 19891 - 509 for r. 40 Solve -1755*z + 1326*z + 172593 = 2107*z + 68617 for z. 41 Solve 34*n - 279 - 1149 + 272 = 0 for n. 34 Solve 224*g - 248 = 377*g - 215*g for g. 4 Solve 186*f + 2196*f + 38147 = -33589 - 49746 for f. -51 Solve -62*n - 54*n - 8694 = 45*n for n. -54 Solve -47132 = -6499*d - 495563 for d. -69 Solve 17*h + 17*h = -57*h + 182 for h. 2 Solve -86*b + 801 = -263*b - 8580 for b. -53 Solve -29137 = -2259*a + 45410 for a. 33 Solve -14260*a + 14305*a = -1350 for a. -30 Solve -29*l + 166*l + 1848 = 6095 for l. 31 Solve -26875 - 13548 + 10477 = -1302*t for t. 23 Solve -8811*u - 3143*u + 1147584 = 0 for u. 96 Solve -983 = -86*d + 1855 for d. 33 Solve -766*v = 19*v + 260*v - 50160 for v. 48 Solve 0 = 3411*l - 162949 - 113829 - 12299 - 34968 for l. 95 Solve 151*o - 394323 = -392662 for o. 11 Solve -353876 = -11208*g + 40069*g + 14474 + 2229140 for g. -90 Solve 789*g + 47213 = -42960 + 2331 + 14465 for g. -93 Solve 1467123 = -105*c + 1471638 for c. 43 Solve 219*b - 6842 = 65*b + 1055 + 3191 for b. 72 Solve 9165*l = 4068*l - 2438*l - 3934*l - 286725 for l. -25 Solve -33883 + 5938 = 551*w - 1586*w for w. 27 Solve 79760 = 248*v + 77032 for v. 11 Solve -32651*d = -30130*d + 110924 for d. -44 Solve -1752*b - 893*b - 177815 + 41623 = 939*b for b. -38 Solve 3700*r - 2727*r + 30163 = 0 for r. -31 Solve -1374*y + 413*y - 2071*y = -121280 for y. 40 Solve 0 = -7*b - 0*b + 2*b - 7 + 42 for b. 7 Solve 1104*i + 1153*i + 8280 = 2137*i for i. -69 Solve 56*a + 1466 + 561 = -111*a + 190 for a. -11 Solve 100*q + 82*q - 2793 = -42*q + 1911 for q. 21 Solve 3938*r + 58965 = 3132 + 8475 - 47154 for r. -24 Solve -2397897*s - 700 = -2398037*s for s. 5 Solve -67*t + 30*t - 460 = -27*t for t. -46 Solve 199*p - 40*p + 106*p - 29770 = -193*p for p. 65 Solve 5435 + 517 = 744*u for u. 8 Solve -12376 + 33316 = -461*w - 15018 for w. -78 Solve 6606 = -127*h + 2208 - 5000 for h. -74 Solve -644*z - 78585 = 829*z + 1946*z - 20462 for z. -17 Solve -26906 = -237*f - 35912 for f. -38 Solve 1304 - 2236 = -103*a + 2982 for a. 38 Solve -1863*v - 51605 = -3167 for v. -26 Solve 668*m - 16884 = -486*m - 52*m for m. 14 Solve 0 = -2947*c - 206274 - 179783 for c. -131 Solve 1339*g = 1312*g - 540 for g. -20 Solve -862*b - 22866 - 23500 = 7078 for b. -62 Solve 20021 = -612*j + 3952 - 17591 for j. -55 Solve -7200 + 3856 = 209*o for o. -16 Solve 77*c = -94*c + 2131 + 434 for c. 15 Solve 0 = 1494*m + 3091*m - 278029 + 16684 for m. 57 Solve -100*m + 215*m - 567 = 94*m for m. 27 Solve -138*k + 107380 = 1927*k for k. 52 Solve 1456 - 3064 = -6*j - 1518 for j. 15 Solve 68*n = -170*n - 191*n - 6864 for n. -16 Solve 114625*h - 114631*h + 162 = 0 for h. 27 Solve 912*a + 4428 = 1020*a for a. 41 Solve 2397*g + 383 = 53588 + 54660 for g. 45 Solve 0 = -864*t - 3842161 + 3779953 for t. -72 Solve 514*o = 242*o + 2992 for o. 11 Solve -71742*d = -71752*d + 330 for d. 33 Solve -1182 + 1997 = -429*g - 16774 for g. -41 Solve -18*q - 16102 = 80*q + 96*q for q. -83 Solve -83*w + 1008 + 2189 = -1202 for w. 53 Solve 0 = 160*q - 1168 - 4432 for q. 35 Solve -67749*o = -68378*o + 14467 for o. 23 Solve 159*k + 2000559 - 1982592 = 0 for k. -113 Solve 18*x + 23*x + 20*x + 3919 = 3309 for x. -10 Solve 843*t + 438*t - 12673 = 844*t for t. 29 Solve 93*d = -728*d + 193*d + 1067 - 3579 for d. -4 Solve -175*c - 398*c - 2750 = 1834 for c. -8 Solve 67*o - 99*o - 138 = 696 + 158 for o. -31 Solve 50*z = 7*z + 21*z - 2916 + 408 for z. -114 Solve -1184*m - 2701 = 660 + 29791 for m. -28 Solve -337*i = -849*i - 994*i - 492*i + 99900 for i. 50 Solve 75*b - 610 - 1354 = 436 for b. 32 Solve -215*h + 15448 + 3384 = 87*h - 88*h for h. 88 Solve -5766 = 31*d - 3968 for d. -58 Solve 6248*t - 4601*t = -159759 for t. -97 Solve -12248 - 6922 = -74603*s + 74333*s for s. 71 Solve 1105*s - 31774 + 14663 = 71586 + 1913 for s. 82 Solve -1392 = 6799*i - 6683*i for i. -12 Solve -148*x + 808*x + 129609 = -115*x + 49009 for x. -104 Solve -131*m + 2904 = -33*m - 59*m - 801 for m. 95 Solve -11026 = 6129*p - 18312*p + 6362*p + 6119*p for p. -37 Solve -767*c - 2890*c + 160908 = 0 for c. 44 Solve 0 = 49*t - 31864 + 30933 for t. 19 Solve 139*p + 8353 = 3349 for p. -36 Solve -6312 = 214*m + 1129*m + 7726 + 51769 for m. -49 Solve 0 = 103*z + 67841 - 73609 for z. 56 Solve -788*p - 7180 = -23728 for p. 21 Solve 35*u - 319 = -35*u + 53*u + 6*u for u. 29 Solve -23136*h + 1392 = -23165*h for h. -48 Solve 2570 = -662*v + 18353 + 4077 for v. 30 Solve -1058*r + 4944 + 18255 = -431*r for r. 37 Solve 116*h - 19*h = 23*h - 117*h + 2292 for h. 12 Solve 678*o - 402*o = -10212 for o. -37 Solve -6209 + 7310 = 1502*l - 27437 for l. 19 Solve -61*g + 521*g + 2300 = 0 for g. -5 Solve 0 = 615*v - 2138 - 3444 - 7333 for v. 21 Solve -197 - 90 = -33*v + 323 + 578 for v. 36 Solve -19*i + 13*i - 11*i - 63*i = -3200 for i. 40 Solve -72*n + 7277 - 12195 = -6358 for n. 20 Solve -772*s = -311858 + 263994 for s. 62 Solve 0 = 21*x + 6*x + 46*x + 102*x + 7700 for x. -44 Solve 4410 = 1293*q - 1188*q for q. 42 Solve 265*v - 21427 = -202*v + 12197 for v. 72 Solve 102*d = 895*d + 7210 + 19850 + 3074 for d. -38 Solve 1667*n + 105*n - 18302 - 99453 = 6285 for n. 70 Solve 1959 = 118*v - 771*v for v. -3 Solve -45394 - 32398 = 5984*r for r. -13 Solve 296*q = -231*q + 1165 - 48068 for q. -89 Solve -14266*x - 10052 = 218204 for x. -16 Solve 263 = 577*i - 1024*i + 527*i - 137 for i. 5 Solve 0 = -1432*f + 1359*f - 2847 for f. -39 Solve -2081*u = -1979*u - 939 + 2326 + 2285 for u. -36 Solve -85*i - 8*i - 5884 = -304 for i. -60 Solve 26548*g = 26666*g + 8260 for g. -70 Solve -29*t + 504*t + 1536 + 1785 = -4 for t. -7 Solve -59427*u + 62598*u - 177576 = 0 for u. 56 Solve 3316*j + 22322 = -7522 for j. -9 Solve 55 = 194*k + 90 - 519 - 2038 for k. 13 Solve -700*y = 193*y + 16967 for y. -19 Solve 360*k + 337*k - 690 = 651*k for k. 15 Solve 2379*c - 15130 = 20555 for c. 15 Solve -38935 - 24485 = -2114*k for k. 30 Solve 273*k - 797*k + 340*k - 8773 = -467*k for k. 31 Solve -120*t - 125*t - 18291 = 87*t + 137*t for t. -39 Solve 0 = -1500*h + 31214 + 4786 for h. 24 Solve -24*x + 14*x - 2160 = -35*x - 23*x for x. 45 Solve -8047 = 240*y + 602*y - 223*y for y. -13 Solve 0 = -3253*g + 19523 + 13007 for g. 10 Solve -2673 = -21*i + 59*i + 30*i + 31*i for i. -27 Solve 161295 = 2553*h + 18327 for h. 56 Solve 577105*v = 577496*v + 12903 for v. -33 Solve -589*l + 2777*l - 24489 - 56187 = -53*l for l. 36 Solve 480*k + 275*k = -996*k + 129574 for k. 74 Solve 3722*c = -421*c - 1634*c + 207972 for c. 36 Solve -2772*c - 75858 + 4
{ "pile_set_name": "DM Mathematics" }
*s - 2*s - 3*s + s**h wrt s? 12*s**2 What is the second derivative of 5*x - 92 - 2*x**2 + 92 - 5*x**2 wrt x? -14 Let l(f) be the first derivative of -4*f**7/7 - 2*f**3 - 3. Find the third derivative of l(o) wrt o. -480*o**3 Find the third derivative of 31*y**4 - 14*y**4 - 31*y**2 - 16*y**4 wrt y. 24*y Let s(r) = 3 + r**2 - 2*r**2 - 3. Let h(o) = o**2 + 5*o. Let i(u) = -h(u) + 4*s(u). What is the second derivative of i(q) wrt q? -10 Find the third derivative of -108*k + 108*k + 19*k**4 - 4*k**2 + 0*k**2 wrt k. 456*k Suppose -3*k - 5*n + 14 - 3 = 0, n + 2 = 0. Find the second derivative of 13*u - k*u + u**3 + 6*u**3 wrt u. 42*u Let c(a) = a**2. Let y(z) be the first derivative of z**4/4 - z**3/3 - 3. Let b(k) = -3*c(k) - 2*y(k). What is the third derivative of b(j) wrt j? -12 Let w(d) = -d**4 + d**2 - d + 1. Let n(p) = 21*p**5 - 5*p**4 - 17*p**2 - 5*p + 5. Let l(x) = n(x) - 5*w(x). Find the third derivative of l(z) wrt z. 1260*z**2 Let p(n) be the third derivative of n**6/360 + n**5/60 + n**3/6 + 3*n**2. Let j(b) be the first derivative of p(b). Find the second derivative of j(t) wrt t. 2 Let b be (-6)/(-12)*2*2. What is the third derivative of -4*l**2 + 8*l**2 + b*l**4 - 6*l**4 wrt l? -96*l Let p(m) be the third derivative of -m**7/30 - 7*m**3/6 + 2*m**2. Differentiate p(g) with respect to g. -28*g**3 Let u(o) be the second derivative of -o**3/2 + 7*o**2 - 18*o. Differentiate u(p) with respect to p. -3 Let d(p) = 8*p + 10. Let f(o) = 7*o + 9. Let y(g) = -4*d(g) + 5*f(g). What is the first derivative of y(a) wrt a? 3 Let u(f) be the first derivative of 3*f**4/4 + 10*f + 12. What is the derivative of u(r) wrt r? 9*r**2 Let u(v) = -v - 4. Let i be u(-6). Find the third derivative of -3*c**6 + 5*c**2 - 2*c**3 - 2*c**6 + i*c**3 wrt c. -600*c**3 Let v(d) = -d**3 + d**3 + 2*d**3 - 1 + d. Let u be v(1). What is the derivative of 0 + 0*y**u + y**2 + 2 wrt y? 2*y Let h(a) be the third derivative of -17*a**9/252 - 2*a**5/15 + 3*a**2. What is the third derivative of h(b) wrt b? -4080*b**3 Let z(n) = -12*n - 9. Let p(k) = -13*k - 8. Let g(f) = -5*p(f) + 6*z(f). What is the first derivative of g(s) wrt s? -7 Find the third derivative of -53*p**6 + 5*p**5 - 3*p**3 + 56*p**6 - 5*p**5 + 2 + 10*p**2 wrt p. 360*p**3 - 18 Let h(v) be the first derivative of -v**9/1008 - v**5/40 + 2*v**3/3 + 4. Let f(y) be the third derivative of h(y). What is the second derivative of f(u) wrt u? -60*u**3 What is the third derivative of 3*u**3 + 26*u**6 + 8*u**2 - 3*u**3 + 8*u**6 wrt u? 4080*u**3 Suppose 2*b - 3*x = 1, 16 - 5 = 4*b - 3*x. Suppose 2*d - 6 = -2, d - 22 = -5*c. Find the second derivative of -2*w**4 + 0*w**5 + 2*w**c + w - 3*w**b wrt w. -60*w**3 Let w(t) be the third derivative of 13*t**4/6 - 55*t**3/6 - 20*t**2 - 2*t. What is the derivative of w(b) wrt b? 52 Let i(h) be the second derivative of 7*h**5/5 + 6*h**2 + 3*h. What is the derivative of i(p) wrt p? 84*p**2 What is the first derivative of 3*q**2 - q**2 + 6*q**3 + 6 - 2*q**2 wrt q? 18*q**2 Let w = 0 - 3. Let n(y) = 2*y**2 + 3*y - 4. Let k(g) = -11 + 4*g - 3*g + 7*g + 5*g**2. Let v(h) = w*k(h) + 8*n(h). What is the derivative of v(z) wrt z? 2*z Let j(x) be the third derivative of -1/8*x**4 - 1/2*x**3 + 0*x - x**2 + 0. Differentiate j(c) with respect to c. -3 Let l(w) = 10*w**3 + 7*w - 6. Let v(p) = -p**3 - p + 1. Let u(n) = l(n) + 6*v(n). What is the second derivative of u(j) wrt j? 24*j Let f(l) be the second derivative of 11*l**5/20 - 19*l**3/6 - 13*l. What is the second derivative of f(u) wrt u? 66*u Let i(x) be the third derivative of 11*x**6/40 + 7*x**3/6 + 21*x**2. Find the first derivative of i(z) wrt z. 99*z**2 What is the derivative of -15 - 5 + 4 + 7*t + 4 wrt t? 7 Let q(m) be the third derivative of -m**6/5 - 3*m**5/10 + 12*m**2. Find the third derivative of q(l) wrt l. -144 Suppose 6*i + 3*i = 4*i. Let w(j) be the third derivative of i*j**3 - j**2 + 0*j + 1/30*j**5 - 1/24*j**4 + 0. What is the second derivative of w(u) wrt u? 4 Let q = 6 + -3. Find the third derivative of n**3 - 2*n**3 + n**q - 5*n**2 + n**4 wrt n. 24*n Let g = 4/157 - -391/3140. Let w(m) be the second derivative of -g*m**5 + 1/12*m**4 + 0*m**2 + m + 0*m**3 + 0. What is the third derivative of w(l) wrt l? -18 Let r(z) be the second derivative of -2*z**7/21 - 5*z**4/6 - 4*z. What is the third derivative of r(i) wrt i? -240*i**2 What is the third derivative of -120*d + 120*d - 4*d**6 - 6*d**2 wrt d? -480*d**3 Find the third derivative of -2*p**6 - 6*p**2 + 5*p**2 - 5*p**6 wrt p. -840*p**3 Let f(q) = -3*q + 6. Suppose 26 - 1 = 3*v - 4*u, 2*v - 10 = 4*u. Let o be 3/1*(-25)/v. Let g(p) = 2*p - 4. Let l(t) = o*f(t) - 7*g(t). Differentiate l(x) wrt x. 1 Suppose 0*w = -4*w + 12. Let q = 6 - w. What is the third derivative of -1 - l**2 + 1 + 2*l**q wrt l? 12 Find the second derivative of 3*i**2 + i**2 - i + 2*i**2 + 2*i**2 wrt i. 16 Let u(s) = s**3 - 2*s**2 + 4*s - 2. Suppose -6 = -3*z + w, -6*w + 10 = 5*z - w. Let x be u(z). Find the second derivative of -4*h + x*h + 3*h**2 - h**2 wrt h. 4 Suppose -3*g + 3*c = -3, 3*c - 14 = -2*g + c. Find the second derivative of -5*b**3 + 3*b + 5*b**3 - b**g wrt b. -12*b**2 Let x(r) = 16*r**4 - 5*r**3 + 22*r**2 + 5. Let h(g) = -16*g**4 + 4*g**3 - 21*g**2 - 4. Let b(d) = -5*h(d) - 4*x(d). What is the third derivative of b(w) wrt w? 384*w Let g(f) = f**2 + 6. Let t be g(0). Let s = t + 1. What is the third derivative of 7 - 2*c**5 - 2*c**2 - s wrt c? -120*c**2 Let v(q) be the first derivative of 4 + 1/6*q**6 + 0*q**5 + 0*q**2 + 0*q + 2/3*q**3 + 0*q**4. What is the third derivative of v(j) wrt j? 60*j**2 Let s(i) = 21*i**3 - 2*i**2 - 2*i + 5. Let l(p) = -210*p**3 + 21*p**2 + 21*p - 51. Let m(z) = 2*l(z) + 21*s(z). Differentiate m(d) with respect to d. 63*d**2 Let i(h) be the second derivative of h**9/7560 + h**6/144 + h**4/6 - 6*h. Let t(w) be the third derivative of i(w). What is the second derivative of t(p) wrt p? 24*p**2 Let s(q) be the third derivative of 5*q**8/336 + q**4/6 + 2*q**2. Find the second derivative of s(h) wrt h. 100*h**3 Let u(c) be the second derivative of -3*c + 0*c**5 + 0 + 0*c**4 + 2/3*c**3 - 2/15*c**6 + 0*c**2. What is the second derivative of u(r) wrt r? -48*r**2 Let m(n) = 4 + 7 + 17*n**4 + 15*n**2 + 5 - 3. Let p(r) = 8*r**4 + 7*r**2 + 6. Let k(x) = -6*m(x) + 13*p(x). Find the third derivative of k(v) wrt v. 48*v Let o(f) be the first derivative of 3*f**4 + 10*f**3/3 + 9. Find the third derivative of o(n) wrt n. 72 Differentiate y**2 - 6 - 6*y**2 + 6*y**2 - 11*y**2 with respect to y. -20*y Find the second derivative of 31*v**5 - 30*v**5 + 0*v + 7*v wrt v. 20*v**3 Let y(n) = -12*n**5 + 3*n**2 + 14*n - 3. Let s(x) = x**5 - x**2 + x + 1. Let j(v) = 3*s(v) + y(v). Find the second derivative of j(i) wrt i. -180*i**3 Let m(j) be the first derivative of -j**5/5 + j**4 + 29*j**3/3 + 33. What is the third derivative of m(c) wrt c? -24*c + 24 Find the first derivative of 15 - 82*l + 82*l + 20*l**4 + 14 wrt l. 80*l**3 Let h(q) be the second derivative of -11*q**6/30 - 11*q**2/2 + 5*q. What is the derivative of h(s) wrt s? -44*s**3 Suppose 4*m + 4 = -2*s, 3*s + 2*m - 4 = -2. What is the derivative of 3 - 2*d**s + d**2 + 0 wrt d? -2*d Let l(f) be the first derivative of -f**3/3 + f**2 + 5*f + 7. Let c(i) be the first derivative of l(i). Differentiate c(v) with respect to v. -2 Let m be 1*(-4 + 1 - -2). Let h(y) = -y**3 - y - 1. Let r(f) = 8*f**3 + 7*f + 5. Let j(u) = m*r(u) - 5*h(u). What is the second derivative of j(l) wrt l? -18*l Let i(f) be the third derivative of -16*f**7/105 + f**4/12 - 4*f**3/3 + 42*f**2. What is the second derivative of i(v) wrt v? -384*v**2 Let b(n) be the second derivative of 16*n**3/3 - 23*n**2 + 23*n. Differentiate b(f) with respect to f. 32 Suppose 5*q = -15, 0*q = 2*l - q - 5. Let a = 2 + l. What is the third derivative of -i**2 + 2*i**2 - a*i**5 + i**2 wrt i? -180*i**2 Let u(p) be the first derivative of -7*p**5/5 - p - 6. Find the first derivative of u(l) wrt l. -28*l**3 Let o(a) = -a - 5. Let p be o(-5). What is the third derivative of -d**3 + 0*d**3 - d**3 + p*d**2 + d**2 wrt d? -12 Find the third derivative of 14*j**4 - j - 4*j**2 - 2*j + j + 2*j**2 wrt j. 336*j Find the third derivative of -5*w - 25 - 4*w**6 - 21 + w**2 + 46 wrt w. -480*w**3 Let z(n) be t
{ "pile_set_name": "DM Mathematics" }
4 = -213*c - 222*c for c. -57 Solve 110*v - 2112 = -3542 for v. -13 Solve 0 = -2896*o + 1425*o - 23536 for o. -16 Solve -1397*y + 198101 + 77265 = 1629*y for y. 91 Solve 70*k = -77*k + 10948 + 3030 - 1483 for k. 85 Solve -1250*j + 29136 = 2392*j for j. 8 Solve -46*o + 246 = 194*o - 257 - 217 for o. 3 Solve -9337*v = -15088*v + 270297 for v. 47 Solve -922*k - 14*k = 1536 - 11806 - 7514 for k. 19 Solve -1278 = -y - 603 - 612 for y. 63 Solve 114276 = 6579*h - 359412 for h. 72 Solve 28780 = -9669*n - 9896 for n. -4 Solve 101951*d = 104633*d - 185058 for d. 69 Solve -251 + 205 = -7*p - 207 for p. -23 Solve -19*v + 525 = -54*v + 42*v for v. 75 Solve 0 = -172*g - 53*g - 349*g - 1734 - 1710 for g. -6 Solve -1197988 = 9080*h + 3198*h + 3485*h for h. -76 Solve -31608 - 20297 = -237*c - 663*c - 583*c for c. 35 Solve -45*j - 36*j + 1160 + 574 - 114 = 0 for j. 20 Solve -213*v - 168*v - 186*v = -24381 for v. 43 Solve -161628 - 184978 - 150744 + 84070 = -11480*u for u. 36 Solve -514*m = -243*m + 3523 for m. -13 Solve -40*l + 188 - 437 = 311 for l. -14 Solve 92*q + 175177 - 178213 = 0 for q. 33 Solve 73 = m + 128 - 91 for m. 36 Solve -31*t - 22*t + 3456 = 66*t - 167*t for t. -72 Solve -64012 = 1363*c + 1954*c - 75533 + 266930 for c. -77 Solve 0 = -1958*a - 4170*a - 1158*a + 10068 + 4504 for a. 2 Solve 4005 = -30*y + 475*y for y. 9 Solve 40*x - 5826 + 9044 = 150*x - 7232 for x. 95 Solve -726*y - 1031*y - 177*y = 960*y + 92608 for y. -32 Solve -766*a + 3269 = -5157 for a. 11 Solve -6757*j - 460 = -6642*j for j. -4 Solve 0 = -7428*n + 3032*n - 118739 - 30725 for n. -34 Solve -48801 - 16649 = -1309*s for s. 50 Solve 9 - 6 = 379*a + 1 + 2 for a. 0 Solve 4045*p - 2870 = 3635*p for p. 7 Solve 3349*h = 5163*h + 2259*h + 3180*h - 391662 for h. 54 Solve 0 = 312*t + 560 + 1624 for t. -7 Solve 7299*v = 344755 - 448233 - 699412 for v. -110 Solve -14*m + 98*m - 1135 = -127 for m. 12 Solve 7575*i = -7563*i + 15155*i + 1445 for i. -85 Solve -33*f = 61*f + 26*f - 6829 - 851 for f. 64 Solve 166 + 373 = -5*h - 51*h - 525 for h. -19 Solve 0 = 918*a + 65164 - 75262 for a. 11 Solve -9*h - 290*h + 28*h - 9756 = 0 for h. -36 Solve -3890*b - 166732 = -2748*b for b. -146 Solve -285*q + 127490 = 686*q - 468*q + 542*q for q. 122 Solve 4863*i - 9744*i + 18 = -4879*i for i. 9 Solve 7227*p + 25589 = -54675 - 42595 for p. -17 Solve -478 + 415 = 18*a - 459 for a. 22 Solve -817*d = -1118*d + 8449 + 6300 for d. 49 Solve -3967887 + 3968469 = -97*l for l. -6 Solve -324362*h = -324678*h - 6320 for h. -20 Solve 50491 = -384*b - 277*b - 8338 for b. -89 Solve 215*b - 235*b - 16254 = -149*b for b. 126 Solve 426*w + 29496 = -501*w - 302*w for w. -24 Solve -75079 = -2164*a + 41777 for a. 54 Solve -37104 = -10034*y + 11580*y for y. -24 Solve -14660 = -2378*z - 2916 + 7280 for z. 8 Solve 20*l - 134*l = 80*l + 388 for l. -2 Solve 1431*c - 668*c + 41548 = 4924 for c. -48 Solve 0 = -2320*s + 115446 + 51594 for s. 72 Solve 0 = 189*m - 610 + 232 for m. 2 Solve -1877 = -464*v - 5467 - 4762 for v. -18 Solve -185*l - 30862579 = -30836124 for l. -143 Solve 0 = 1677*c - 4771*c + 3094 for c. 1 Solve -636*g + 23760 = 6588 for g. 27 Solve 273*f = 113*f - 2897 - 2063 for f. -31 Solve -9600*y = -9654*y + 2268 for y. 42 Solve -11053*j + 10933*j = -7764 - 876 for j. 72 Solve -8169*a + 145*a - 577743 = 328969 for a. -113 Solve -2027 - 3631 = 73*b - 319*b for b. 23 Solve 153375*i - 153671*i + 275 = -317 for i. 2 Solve 2783*s - 701*s + 1307 = 7553 for s. 3 Solve -105*r + 6302 + 313 = 0 for r. 63 Solve 2599*r - 351*r = 35968 for r. 16 Solve 597*r - 73*r - 80088 = -380*r + 52*r for r. 94 Solve 0 = 91*d - 589 + 862 for d. -3 Solve -1118*z + 108553 = 88429 for z. 18 Solve 1409*a + 1385*a - 6254 = 2900*a for a. -59 Solve 2130086 - 2128610 = -18*y for y. -82 Solve 771*i + 773*i - 3366 = -737*i + 2347*i for i. -51 Solve 79*c - 2442 = -4733 for c. -29 Solve 185*q - 3066 + 1860 + 7078 = -3748 for q. -52 Solve 447*g - 3824 = -8904 - 6542 for g. -26 Solve 345*d + 37465738 - 37471258 = 0 for d. 16 Solve -140*a + 30746 - 19686 = 0 for a. 79 Solve 135*j - 661*j + 540 = -256*j for j. 2 Solve 7735*j + 7738*j - 15523*j - 2480 = -130 for j. -47 Solve 10101*m - 5060*m = 5348*m - 25174 for m. 82 Solve -6923 = -163*b - 6927 - 5375 for b. -33 Solve -5031*p + 91762 + 111698 = -1640*p for p. 60 Solve 0 = 1948*l + 1951*l - 3826*l + 949 for l. -13 Solve 648*n + 554 = -249 - 102 - 391 for n. -2 Solve -3409*x - 4796 + 27858 = -801 for x. 7 Solve -204*o + 463*o - 456 = 235*o for o. 19 Solve -8180*k = -8154*k + 520 for k. -20 Solve -3868*l + 270*l - 280644 = 0 for l. -78 Solve 149*x + 3452 = -130*x - 106*x - 17723 for x. -55 Solve -17859 - 16560 = 777*p + 862*p for p. -21 Solve 1027*m - 2194*m = -81690 for m. 70 Solve 32241*h - 299486 + 55737 = 78661 for h. 10 Solve -24*b - 166 - 93 = 708 - 127 for b. -35 Solve 2886*i = 1024*i - 59584 for i. -32 Solve 198*j + 144*j = 125*j - 100*j + 12997 for j. 41 Solve -925*w + 2767*w + 230*w - 179150 = -1511*w for w. 50 Solve 2400*y - 984*y + 43896 = 0 for y. -31 Solve -2344 - 7346 = 1938*u for u. -5 Solve 3570 = -30998827*m + 30998776*m for m. -70 Solve -462*j - 46*j - 1966 = 3114 for j. -10 Solve 96029*t - 95904*t + 4261 + 4364 = 0 for t. -69 Solve -1877 - 29310 = 2801*s - 137168 - 45273 for s. 54 Solve 3894 = 70*s + 168*s + 12355 + 4391 for s. -54 Solve -2260*r + 120869 = 12389 for r. 48 Solve 7749 + 3280 = -56*p + 325*p for p. 41 Solve 0 = -1092*n + 1008*n + 2352 for n. 28 Solve -134454 = -10512*q + 305143 + 107027 for q. 52 Solve -903*m = -239*m + 909*m - 48763 for m. 31 Solve 2447*h - 6012 = 3776 for h. 4 Solve -67*a - 6131 - 3508 = -526*a for a. 21 Solve 0 = 12*m + 2047 - 520 - 975 for m. -46 Solve -117*z - 101*z + 1333 + 3430 = -3739 for z. 39 Solve -1415*u = -1565*u - 13350 for u. -89 Solve -3135 = -619*t + 43909 for t. 76 Solve -2361*v + 137354 + 144808 = 126844 - 109114 for v. 112 Solve -291816 = 108*a - 283392 for a. -78 Solve 0 = -6068*b - 328471 - 284397 for b. -101 Solve 83*a + 330 = -159*a + 1782 for a. 6 Solve -1086*a + 140660 = 11426 for a. 119 Solve 0 = -12522826*g + 12522900*g - 2886 for g. 39 Solve 125*m - 29*m + 4275 = m for m. -45 Solve -6*r + 12*r + 2691 = -17*r for r. -117 Solve -2112*f + 436 = -3168*f + 75135 - 6059 for f. 65 Solve 109*q = -44802 + 39461 for q. -49 Solve -161*l = 103*l - 335*l + 568 for l. 8 Solve 259*r + 24455 + 97753 = -1349*r for r. -76 Solve 133*o - 3*o - 13*o + 585 = 0 for o. -5 Solve -45618 = -33*a - 45222 for a. 12 Solve 1834*p = -74805 - 10401 + 6344 for p. -43 Solve 0 = 2172*z + 179084 - 3152 for z. -81 Solve 503 + 353 = -70*w + 16 for w. -12 Solve -604*m + 203*m + 2666 = 266 - 18452 for m. 52 Solve 8385*n = -448*n - 123662 for n. -14 Solve 0 = 799*w + 13526 + 3253 for w. -21 Solve 8817*u - 9125*u - 12628 = 0 for u. -41 Solve -1278*q - 3450 - 7570 = -898*q for q. -29 Solve 10409*y - 9723*y + 43392 + 25208 = 0 for y. -100 Solve -463*u + 6580 - 72 = -687*u - 884 for u. -33 Solve -519*y - 23*y - 64545 = 188*y - 14175 for y. -69 Solve -5985513 + 5981737 = -64*x for x. 59 Solve 529*v + 27515 = -281*v - 42400 + 10785 for v. -73 Solve -5*t + 930 = -46*t + 3103 for t. 53 Solve -12922 = -1257*b + 103*b - 9755 - 44711 for b. -36 Solve -818*u + 1235 = -763*u - 1515 for u. 50 Solve -69143 = -2142*j - 1196*j - 29453 + 87154 for j. 38 Solve 1270*q + 70*q + 139945 = -813*q for q. -65 Solve -6935 - 359 = 738*v + 13370 for v. -28 Solve -96*w = -68*w + 358*w - 8492 for w. 22 Solve 23492 = -364*m + 47152 for m. 65 Solve -1440*l + 4323*l = -135501 for l. -47 Solve 0 = 618*h - 17143 - 28589 for h. 74 Solve -637482 = 8066*k - 88994 for k. -68 Solve -1260*v + 242*v - 804*v + 14357 = -16617 for v. 17 Solve -567*l + 135 - 124 - 1619 - 1794 = 0 for l. -6 Solve -36235 - 10337 = -2416*u + 3202 - 3870 for u. 19 Solve 173*f - 582*f + 4595 + 16741 = -6885 for f. 69 Solve -107 + 277 + 310 = -30*q for q. -16 Solve -1055*q + 95699 = 11299 for q. 80 Solve -10329 = 600*p - 37929 for p. 46 Solve 15599*t - 15803*t + 6732 = 0 for t. 33 Solve 42833 = -2145*b - 48246 + 16004 for b. -35 Solve -566 = 81*a - 303 + 547 for a. -10 Solve 2811 = -549*r - 728 - 304 for r. -7 Solve 256750 = -2436*p - 208777 + 175643 for p. -119 Solve 3927*s + 5084 = 4091*s for s. 31 Solve -316*s + 847810 = 871510 for s. -75 So
{ "pile_set_name": "DM Mathematics" }
. 5/189 What is prob of sequence sep when three letters picked without replacement from {p: 3, o: 4, s: 1, e: 5}? 5/572 Three letters picked without replacement from {k: 3, s: 2, z: 3, y: 3, e: 3, i: 1}. Give prob of sequence kky. 3/455 Two letters picked without replacement from kkggpdpdbppggg. Give prob of sequence kb. 1/91 Calculate prob of sequence xsxs when four letters picked without replacement from xxxsxxsxxxxxsxssxs. 11/204 What is prob of sequence issq when four letters picked without replacement from sqiqqsiqqqiqiqm? 8/4095 Two letters picked without replacement from hihiiniidnghi. What is prob of sequence dh? 1/52 Calculate prob of sequence pdd when three letters picked without replacement from {d: 10, o: 8, p: 1}. 5/323 Four letters picked without replacement from {m: 3, s: 2, f: 4}. What is prob of sequence fsfm? 1/42 Calculate prob of sequence vrly when four letters picked without replacement from {y: 8, n: 1, r: 2, q: 1, v: 1, l: 1}. 2/3003 What is prob of sequence gz when two letters picked without replacement from {g: 15, z: 3}? 5/34 What is prob of sequence yx when two letters picked without replacement from yxjjbyxxxjxyyyybxyyx? 14/95 Four letters picked without replacement from {y: 5, h: 7}. Give prob of sequence yyhy. 7/198 Calculate prob of sequence ote when three letters picked without replacement from {o: 5, t: 1, e: 3}. 5/168 What is prob of sequence usv when three letters picked without replacement from {r: 1, u: 1, s: 1, z: 2, v: 1, b: 1}? 1/210 Three letters picked without replacement from {k: 1, i: 3, c: 1, o: 3, r: 2}. What is prob of sequence oco? 1/120 Calculate prob of sequence pu when two letters picked without replacement from tup. 1/6 Calculate prob of sequence uiga when four letters picked without replacement from {k: 5, g: 1, a: 1, q: 3, u: 3, i: 1}. 1/8008 Two letters picked without replacement from nyyqnqynqyn. Give prob of sequence yn. 8/55 What is prob of sequence hqq when three letters picked without replacement from {h: 1, a: 1, y: 2, g: 2, q: 2}? 1/168 What is prob of sequence fs when two letters picked without replacement from {i: 3, s: 1, c: 1, n: 4, f: 6}? 1/35 Calculate prob of sequence hhtu when four letters picked without replacement from hhhhhhhhhhuhhhuht. 13/2040 Three letters picked without replacement from {j: 4, k: 2, u: 1, n: 3}. What is prob of sequence ujj? 1/60 Calculate prob of sequence am when two letters picked without replacement from {w: 1, z: 1, m: 1, a: 1, s: 1}. 1/20 Four letters picked without replacement from ppggggtgggpgpgggtt. What is prob of sequence gggp? 11/204 Calculate prob of sequence nvww when four letters picked without replacement from vwnzwwn. 1/70 What is prob of sequence caa when three letters picked without replacement from hcgagggaggcsasgcaa? 5/408 Calculate prob of sequence ymy when three letters picked without replacement from mymmmmyymmmmmmmmyy. 65/1224 Calculate prob of sequence gc when two letters picked without replacement from gcccccgccgccccc. 6/35 What is prob of sequence fekq when four letters picked without replacement from {k: 2, s: 1, f: 3, q: 3, e: 1}? 1/280 Two letters picked without replacement from qqbpawqaababqxa. Give prob of sequence pw. 1/210 Three letters picked without replacement from flfvliuuiillllifilvu. Give prob of sequence ili. 7/342 What is prob of sequence gu when two letters picked without replacement from garurur? 1/21 Calculate prob of sequence st when two letters picked without replacement from irriistswist. 1/22 Four letters picked without replacement from {g: 2, i: 3, k: 7}. Give prob of sequence gkgi. 7/1980 Calculate prob of sequence wspp when four letters picked without replacement from {w: 1, p: 2, i: 1, s: 1}. 1/60 What is prob of sequence cdnd when four letters picked without replacement from {i: 3, c: 2, d: 4, n: 6, j: 2, z: 1}? 1/510 Calculate prob of sequence nn when two letters picked without replacement from nuynunqndzqz. 1/11 Calculate prob of sequence rf when two letters picked without replacement from rjffj. 1/10 Calculate prob of sequence vkm when three letters picked without replacement from {k: 2, m: 5, v: 3}. 1/24 What is prob of sequence mzcc when four letters picked without replacement from {c: 3, m: 3, z: 2}? 3/140 What is prob of sequence pp when two letters picked without replacement from mxaaapmpaaamypaxxmma? 3/190 Calculate prob of sequence ffl when three letters picked without replacement from ffllfll. 4/35 Two letters picked without replacement from {r: 2, k: 2, a: 6, f: 1}. Give prob of sequence kr. 2/55 Three letters picked without replacement from wxttmek. What is prob of sequence xkt? 1/105 What is prob of sequence fsff when four letters picked without replacement from fsffffsff? 5/36 Calculate prob of sequence zq when two letters picked without replacement from {r: 2, a: 7, u: 1, z: 1, q: 4}. 2/105 What is prob of sequence ptp when three letters picked without replacement from {t: 2, u: 5, p: 5}? 1/33 Calculate prob of sequence jc when two letters picked without replacement from cgcj. 1/6 What is prob of sequence ii when two letters picked without replacement from pppippppi? 1/36 Calculate prob of sequence xv when two letters picked without replacement from {z: 2, e: 1, l: 3, x: 1, v: 4, h: 1}. 1/33 Calculate prob of sequence lyf when three letters picked without replacement from lffkfyfe. 1/84 Three letters picked without replacement from ryry. What is prob of sequence yrr? 1/6 Four letters picked without replacement from {a: 2, d: 2, q: 1}. What is prob of sequence daad? 1/30 Two letters picked without replacement from {b: 1, d: 3}. Give prob of sequence bd. 1/4 What is prob of sequence kpk when three letters picked without replacement from ckiczuiiikpp? 1/330 Calculate prob of sequence ex when two letters picked without replacement from ooakexp. 1/42 Two letters picked without replacement from bibnnntnbiiiiini. Give prob of sequence ib. 7/80 What is prob of sequence np when two letters picked without replacement from {n: 1, p: 2}? 1/3 What is prob of sequence oaox when four letters picked without replacement from aawamaoaaaaaaxoaawaa? 7/29070 Two letters picked without replacement from hhlllenllnlh. What is prob of sequence le? 1/22 Two letters picked without replacement from {f: 2, z: 4, x: 1, c: 7, u: 4}. What is prob of sequence xz? 2/153 Four letters picked without replacement from hffmfahfa. What is prob of sequence maah? 1/756 Four letters picked without replacement from bjjbjbjeejebj. Give prob of sequence bejj. 3/143 What is prob of sequence ffff when four letters picked without replacement from {f: 9}? 1 Two letters picked without replacement from {l: 2, b: 5, y: 12}. What is prob of sequence ll? 1/171 Four letters picked without replacement from dfdddddd. Give prob of sequence dddf. 1/8 What is prob of sequence rp when two letters picked without replacement from {k: 1, p: 1, l: 1, d: 1, r: 1}? 1/20 Calculate prob of sequence hhfn when four letters picked without replacement from {h: 3, f: 1, g: 2, n: 2, a: 6}. 1/2002 Three letters picked without replacement from {f: 1, q: 14}. What is prob of sequence qqq? 4/5 Calculate prob of sequence zzl when three letters picked without replacement from zlzlzzzzzzzz. 3/22 What is prob of sequence aau when three letters picked without replacement from uaaauaauaauaauuaaa? 11/68 Calculate prob of sequence fjn when three letters picked without replacement from {l: 1, f: 1, j: 2, u: 1, n: 2, d: 2}. 1/126 Three letters picked without replacement from {e: 3, m: 1, u: 2, f: 4, c: 2}. Give prob of sequence muu. 1/660 Two letters picked without replacement from dddddksdd. What is prob of sequence ds? 7/72 Calculate prob of sequence uku when three letters picked without replacement from {k: 2, z: 2, u: 2, y: 1, q: 1}. 1/84 Four letters picked without replacement from {l: 6}. Give prob of sequence llll. 1 What is prob of sequence pl when two letters picked without replacement from appfl? 1/10 Three letters picked without replacement from xgxgx. Give prob of sequence ggx. 1/10 Three letters picked without replacement from {q: 2, i: 1, w: 1, r: 3}. Give prob of sequence iwr. 1/70 Three letters picked without replacement from iggiiiiiiigiiqiigiig. Wha
{ "pile_set_name": "DM Mathematics" }
e of p(f). Determine a(-6). -3 Suppose 3*h + 1 = -2. Let z(v) be the first derivative of v**2 + v + 1/3*v**3 + 4*v**4 - 13. What is z(h)? -16 Let q(o) = 3*o**3 + 2*o**2 + o + 4. Let r(g) = 7*g**3 + 3*g**2 + 2*g + 8. Let i(y) = -5*q(y) + 2*r(y). Let s = 8 - 10. Let h = -5 - s. What is i(h)? -10 Suppose 2*g - 6*g + 477 = -5*f, 5*g + 5*f - 585 = 0. Let m(d) = -3 - d**3 + 8*d**2 - g*d + 56*d + 60*d. Determine m(3). 36 Suppose -2*a - 3 = -3*a. Suppose -5*b + 4*t + 70 = 0, -30 = 5*b - 2*t - 100. Let g(y) = -a + 7*y + y + 3*y - b*y. What is g(6)? -21 Let p(f) = -f - 14. Let s be p(0). Let n(y) be the third derivative of y**6/120 + y**5/4 + 5*y**4/8 + 3*y**3/2 - 49*y**2 + 2*y - 69. Calculate n(s). -5 Let j(k) be the second derivative of -k**5/60 + k**4/6 - 3*k**2/2 + 4*k. Let q(w) be the first derivative of j(w). Let v = -618 - -623. Give q(v). -5 Let y = 18 + -24. Let c(x) = 4*x - 5. Let s(j) = -j + 7. Let o(z) = -1. Let r(h) = -10*o(h) - 2*s(h). Let l(a) = 2*c(a) - 3*r(a). Determine l(y). -10 Let b be 3*(12/(-9))/(19/(-3) + 5). Let i(l) = 16*l - 4. Give i(b). 44 Let r(o) = -2*o**2 + o + 11. Let c(x) = -5*x**2 + 2*x - 6. Let q(f) = 6*f**2 + 2*f + 5. Let m(t) = -3*c(t) - 2*q(t). Let z be m(2). Give r(z). 11 Suppose 0 = -m + 3*l + 50, -106 = -2*m + 5*l - 9. Let t = m + 1. Let w = -41 + t. Let k(p) = 4*p**3 + p**2 - 2*p + 1. Calculate k(w). 4 Suppose -8*t = -7*t - 1. Let k(z) = -t + 0 - 10 - 9 - 15*z - z**2. Let s = 472 - 486. Give k(s). -6 Let p = 487 + -487. Let j be 6/(-1 + 3) + 15. Suppose j = -2*l - 2*z, -4*l - 16 = -p*l - z. Let i(f) = -f**2 - 3*f. Give i(l). -10 Suppose -155 = -5*k + 10. Let q = k + -35. Let m(c) = -74 + 74 - c. Give m(q). 2 Suppose -13*b = -3*b + 71 - 121. Let q(j) = -j**2 + 9*j + 2. Calculate q(b). 22 Let q(w) = -38 + 14*w**3 + 53*w**3 + 16*w - 68*w**3 - 15*w**2. Give q(-16). -38 Let q(i) = i + 12. Let b be (-203)/(-58) + (-2)/(-4)*-1. Let v(t) = 2*t**3 - 4*t**2 + 6*t - 5. Let u be v(b). Let g = u + -40. Calculate q(g). 3 Suppose 46*t - 198 - 32 = 0. Let n(g) = 14 - 8*g + g**2 + 12*g + 10*g - t. Calculate n(-13). -4 Let k(b) = 13*b - 45. Let l be k(3). Let j be (-15)/(-6) - 3/l. Let q(o) = -o + 7. What is q(j)? 4 Let y be 232/60 + (-4)/(-30). Suppose -2*w = -0*r + 5*r - 14, 0 = -4*r + y*w. Let x(l) = 4*l + 9*l**2 - r*l - 15*l**2 + 3 + 5*l**2. Calculate x(-2). -5 Let j(w) = -w**3 - 9*w**2 - 10*w - 13. Suppose -251 = -10*m - 331. What is j(m)? 3 Let k(w) = -256 - 252 + 983 - w - 245 - 247. Give k(-17). 0 Let m be (-156)/72 + (-1)/(-6). Let b be (80/28)/(m/7). Let n(o) = -o - 12. Calculate n(b). -2 Let x(l) = -64*l - 3. Suppose 9*t - 14*t + 7 = 4*a, t + 4 = a. Give x(t). 61 Let f be (-76)/(-5) - 36/(-45). Suppose -12*x = -f*x + 48. Let a(m) = -2 + 4 + x*m - 7*m - 6*m. Calculate a(4). -2 Let y(o) = -10*o**3 + 5*o**2 + 10*o - 11. Let c(b) = -12*b**3 + 5*b**2 + 11*b - 12. Let j(x) = 4*c(x) - 5*y(x). Give j(3). -2 Let u(w) be the third derivative of w**5/60 + 5*w**4/24 + w**3 - 24*w**2 - 2*w - 158. Suppose 0 = 4*s - 8, 0*s = -4*n + 5*s - 30. Calculate u(n). 6 Let h(f) = -3*f + 151. Suppose 7*t = 4*n + 392, 4*t + 2*n - 229 = 5*n. Determine h(t). -5 Let h be 56/2*(4 - 9/4). Let m(v) = -2*v**2 - 46*v - v**2 + h*v - 1. Determine m(2). -7 Let f(b) = 83*b**3 - 195*b**2 + 254*b + 379. Let j(y) = 11*y**3 - 28*y**2 + 36*y + 54. Let v(m) = 2*f(m) - 15*j(m). Give v(-31). -21 Let c(p) be the first derivative of 2*p**2 - 17*p + 5. Let f be c(3). Let m(r) = -r - 1. Calculate m(f). 4 Let b(g) = -4*g - 7. Suppose -19*k - 165 = 405. Let o be ((-10)/(-6))/((40/k)/(-4)). Give b(o). -27 Suppose -1 = 2*t - 2*i + 1, -5*i - 4 = 4*t. Let w(p) = -9*p**2 + 1760 - 868 - 892. What is w(t)? -9 Let d = -191 - -66. Let z = -126 - d. Let m be ((-10)/(-25))/(z - 14/(-15)). Let l(q) = q + 3. What is l(m)? -3 Suppose -155*g - 12454 = 324*g. Let b(l) = 2*l + 19. Give b(g). -33 Let g(a) be the first derivative of 3/2*a**3 + 0*a**2 - 49 - 9*a. Let l(x) be the first derivative of g(x). Determine l(2). 18 Let q = 4 - -2. Let u(d) = 1 + 5 - 137830*d**3 + 137829*d**3 + 5*d**2 + 8*d - 2. Determine u(q). 16 Let q(p) = 4*p + 59. Let i be (3390/1017)/(1 + (-11)/9). What is q(i)? -1 Let y(z) be the second derivative of 63 + 1/5*z**5 - 1/6*z**3 + 0*z**2 + 1/12*z**4 - z. Let w be -2 - -2 - 2/(-2). Determine y(w). 4 Suppose -5*f = -2*y + 7*y - 2490, -3*f - 2*y + 1495 = 0. Let c(s) = f*s**3 + 2*s - 500*s**3 - 5*s**2 + 2*s. Calculate c(-6). 12 Let q(s) = 30*s + 21. Let x be q(8). Let z(j) = x*j + 252*j - 512*j - 4. Determine z(-9). -13 Suppose -69*f - 650 = -394*f. Let h(s) be the third derivative of 1/12*s**4 + 1/3*s**3 - 36*s**f + 0 + 0*s. Give h(-3). -4 Let m(q) be the first derivative of q**4 + 17*q**3/3 + q**2/2 - 2*q + 9709. Give m(-4). 10 Let c = -4376 - -4369. Let o(u) = -u**3 - 7*u**2 + 3*u + 21. Determine o(c). 0 Let f(d) = -d + 1. Let k(h) = -2*h**3 + 6*h**2 - 11*h + 6. Let p(y) = 50*y + 402. Let z be p(-8). Let a be k(z). Determine f(a). 9 Suppose -20 = -k - 10. Let y = -10 + k. Let g(d) = 2 - 2*d**2 - d - 5*d + y*d + 3*d. Give g(-3). -7 Suppose -4*v - c = v - 20, 0 = 5*v - c - 30. Let l(t) = 4*t**3 - 6507*t - 6*t**2 + 6511*t + 2 - 3*t**3. Give l(v). -3 Let k(u) = -3*u + 77. Suppose 1686*h = 1671*h + 405. Give k(h). -4 Suppose 20180 = 9*u + 11*u. Let w(q) = 7*q**3 + u + 4*q**3 - 1010. Suppose -4*y + 4 = -0*y. What is w(y)? 10 Let l(j) = 23*j**2 + 5*j - 6. Let g be l(1). Suppose -5*v + 15 = 0, -3*k = g*v - 19*v - 24. Let n(x) = -x**3 + 4*x**2 - 2*x + 1. What is n(k)? -34 Let g(m) = m**3 - 9*m**2 - 10*m + 7. Suppose -563 = -6*j + 9*j - 4*p, 2*p = 4*j + 754. Let h = 199 + j. What is g(h)? 7 Let f(w) = 13*w + 697 + 699 - 1385 - 4*w**2. Calculate f(6). -55 Let y(o) = 2*o - 1. Suppose -9 = 3*x + 5*h, -2*h = -5*x + 24 - 8. Suppose 5*v = x*u - 5 + 3, -2*v - 4 = 0. Determine y(u). -9 Let n(t) = -3*t**2 + 5*t - 22. Suppose -129*f + 253 = -14*f - 322. Give n(f). -72 Let z(b) = -b**2 + 34*b - 31. Let x be z(12). Let g = x - 227. Let d(m) = -3 + m - 2*m + 3*m. Determine d(g). 9 Suppose 2*s = -5*a + 35, 3*s + 5 = a - 2. Let z(w) = -2*w**2 + 12*w + 19. Let r be z(a). Let c(v) = v**2 - 8*v + 9. What is c(r)? -6 Let o(w) = 116*w + 708. Let b be o(-6). Let v(h) = 2*h**2 - 9*h + 25. What is v(b)? 205 Let t(o) = 63*o**3 - 3*o - 3. Suppose 98*b = 93*b + k - 12, -4*k = 5*b - 23. Give t(b). -63 Suppose -4*o - 12 = 2*u, 36*u + 3*o = 31*u - 2. Let k(g) = 7 + 75*g**u - 8 - 78*g**2 + 2*g. Give k(2). -9 Let g(x) = 7*x + 1. Let l(h) = -6*h - 15. Let o(s) = 7*s + 15. Let a(r) = -3*l(r) - 2*o(r). Suppose -19*t = -0*t + 76. Let u be a(t). Determine g(u). -6 Let t(i) = -8*i - 208. Let o be (10 - 182/18) + (-968)/36. Calculate t(o). 8 Suppose 2*d + 4*q - 6*q = -8, -2*d - 5*q = -6. Let m(j) = -14*j - 10. Give m(d). 18 Let k(y) = 1 - 5*y - 8 + 0*y**2 - y**2. Suppose 25*x - 20*x - 27 = -3*g, -2*g - 48 = -4*x. Determine k(g). -13 Let f(c) = -10 - 2 + 3*c**2 - 2*c**2. Let y(t) = -501*t - 8016. Let w be y(-16). Calculate f(w). -12 Let m(z) = -5*z**2 - 45*z. Let s be (-4 + (-484)/(-154))/((-2)/(-21)). Calculate m(s). 0 Let g(o) = -32*o + 17. Let q = 12911 - 12910. What is g(q)? -15 Suppose 2*c - 1212 = -2*y + 5*y, 5*y + 592 = c. Let x = -623 + c. Let m(w) = -w - 6. Give m(x). 5 Let i(g) be the third derivative of -g**6/120 - g**5/5 + g**4/6 + 7*g**3 - 3*g**2 - 27. Calculate i(-12). -6 Let w(x) = 6*x + 3. Suppose 0 = 4*r - 914*a + 918*a - 28, 0 = -5*r - 3*a + 23. Determine w(r). 9 Suppose -34*m = -2*m + 128. Let o(c) = -4*c - 5. What is o(m)? 11 Let t(c) = c**2 - 4*c + 3. Suppose 5*l - 6 = 9. Let d(n) = -5 + l*n + 4 + 3 - 4*n. Let w be d(-1). Calculate t(w). 0 Let t(g) be the third derivative of -1/12*g**4 + 0*g + 0 - 2/3*g**3 + 145*g**2. What is t(-4)? 4 Let w(r) be the first derivative of -3*r**2/2 + 4*r + 4. Let a be (-27)/(-270) + 199/10. Suppose -7*q = a - 48. Give w(q). -8 Let b(i) be the third derivative of i**6/120 + i**5/20 - 7*i**4/4 - 43*i**3/3 + 1397*i**2. Calculate b(-2). 2 Let z be ((-6)/(-9))/(8/60). Suppose -5*c = 4*l + 104, -4*c = -c + 12. Let d be (-1 - l/15) + (-2)/z. Let y(n) = n**2 - n + 6. Determine y(d). 6 Let r(y) = 13 - 515*y + 1205*y - 71 - 694*y. Give r(-18). 14 Let v(d) = -11*d + 12. Let f be ((-5)/30*-8)/(62/18 + -3). Give v(f). -21 Let k = -344 + 349. Let i(d) = -7*d - 6*d**2 - k*
{ "pile_set_name": "DM Mathematics" }
rob of picking 1 a and 2 o when three letters picked without replacement from nonoaaooaon? 2/11 Four letters picked without replacement from gegeeeeeexxe. Give prob of picking 1 e, 2 x, and 1 g. 16/495 Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {q: 1, z: 1, r: 1, p: 1, e: 1}. 1/10 What is prob of picking 2 l and 1 k when three letters picked without replacement from blbbklbbgkbg? 1/110 Calculate prob of picking 1 c and 3 m when four letters picked without replacement from tccmccmm. 2/35 What is prob of picking 2 b when two letters picked without replacement from {w: 2, b: 2}? 1/6 What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 4, k: 1, u: 3}? 3/7 Calculate prob of picking 1 f, 1 w, and 1 k when three letters picked without replacement from {j: 1, n: 1, k: 9, f: 5, w: 1}. 9/136 What is prob of picking 1 i and 1 m when two letters picked without replacement from daimtlt? 1/21 Two letters picked without replacement from jbbrjn. Give prob of picking 1 b and 1 n. 2/15 Four letters picked without replacement from {o: 2, q: 1, h: 3, t: 3, a: 1, y: 1}. Give prob of picking 1 q, 1 a, and 2 o. 1/330 Calculate prob of picking 1 h, 2 k, and 1 a when four letters picked without replacement from kllhaalllkafllllll. 1/1020 Three letters picked without replacement from {w: 1, q: 6, h: 6, i: 5, n: 1}. Give prob of picking 2 q and 1 w. 5/323 Two letters picked without replacement from {r: 1, y: 3, q: 3, x: 5}. What is prob of picking 1 r and 1 x? 5/66 Two letters picked without replacement from bjuilcu. What is prob of picking 1 j and 1 c? 1/21 Four letters picked without replacement from dbbdcc. Give prob of picking 2 b and 2 c. 1/15 Three letters picked without replacement from bcoiocommocog. What is prob of picking 1 c, 1 o, and 1 i? 15/286 Two letters picked without replacement from ttdtdtddtbtlktd. What is prob of picking 1 k and 1 b? 1/105 Calculate prob of picking 1 t and 3 k when four letters picked without replacement from {k: 8, t: 5}. 56/143 Three letters picked without replacement from nxxnnn. Give prob of picking 1 x and 2 n. 3/5 What is prob of picking 1 o and 3 d when four letters picked without replacement from {x: 3, d: 10, o: 1, y: 3, l: 3}? 8/323 Two letters picked without replacement from {y: 2, v: 7, s: 5, c: 2, u: 3, k: 1}. Give prob of picking 2 y. 1/190 Four letters picked without replacement from {q: 5, x: 2, l: 6}. What is prob of picking 2 q and 2 x? 2/143 What is prob of picking 2 z when two letters picked without replacement from {z: 6, h: 3, f: 4}? 5/26 Calculate prob of picking 3 g when three letters picked without replacement from {s: 9, g: 5}. 5/182 Calculate prob of picking 3 y when three letters picked without replacement from {g: 1, y: 17}. 5/6 Two letters picked without replacement from ccckcazkozkzoacaoo. Give prob of picking 1 o and 1 z. 4/51 Four letters picked without replacement from llllllllqqql. What is prob of picking 3 q and 1 l? 1/55 Calculate prob of picking 1 y and 2 m when three letters picked without replacement from myxxyyybuyaam. 5/286 Four letters picked without replacement from ewvewvehwvqwjee. What is prob of picking 1 q and 3 e? 2/273 Two letters picked without replacement from lysylyw. What is prob of picking 1 s and 1 w? 1/21 What is prob of picking 1 y, 2 q, and 1 r when four letters picked without replacement from {y: 8, q: 6, r: 1, k: 3}? 2/51 Three letters picked without replacement from {c: 3, g: 2, z: 3}. Give prob of picking 3 c. 1/56 Three letters picked without replacement from {l: 3, x: 1, w: 1, i: 1, y: 1}. What is prob of picking 2 l and 1 x? 3/35 Three letters picked without replacement from rrrrrrrrrrrrrur. What is prob of picking 3 r? 4/5 Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, q: 7, s: 2}. 1/13 What is prob of picking 2 k when two letters picked without replacement from aawnwnkknawwk? 1/26 Calculate prob of picking 1 w, 2 a, and 1 f when four letters picked without replacement from wweeawwwwaaawf. 6/143 Four letters picked without replacement from iyykiiyiiyik. What is prob of picking 1 y, 1 k, and 2 i? 8/33 Two letters picked without replacement from vsvvvsvsvveveesv. What is prob of picking 2 s? 1/20 Calculate prob of picking 1 w and 1 p when two letters picked without replacement from pdpkwktpdpappppwtak. 16/171 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from sudyf. 1/10 What is prob of picking 1 w and 1 d when two letters picked without replacement from kuhkluukkkullkkdhw? 1/153 Four letters picked without replacement from {c: 4, h: 4, v: 3, s: 3, d: 2}. What is prob of picking 1 s, 2 d, and 1 c? 3/455 Four letters picked without replacement from {l: 2, h: 4, b: 2, x: 8, n: 1, j: 3}. What is prob of picking 1 l, 2 x, and 1 h? 224/4845 Three letters picked without replacement from tytts. Give prob of picking 2 t and 1 y. 3/10 Calculate prob of picking 2 n, 1 x, and 1 r when four letters picked without replacement from enxeqeeerennr. 6/715 Four letters picked without replacement from gadagddsadsggs. Give prob of picking 3 d and 1 g. 16/1001 What is prob of picking 1 i, 1 b, and 2 a when four letters picked without replacement from {b: 1, a: 3, i: 3, n: 4}? 3/110 What is prob of picking 1 f and 1 a when two letters picked without replacement from {w: 7, f: 6, y: 2, h: 2, j: 1, a: 1}? 2/57 Calculate prob of picking 2 n when two letters picked without replacement from annnnannnnan. 6/11 Four letters picked without replacement from {t: 1, a: 1, v: 5, r: 5, k: 4}. What is prob of picking 1 k, 1 a, 1 v, and 1 t? 1/91 Four letters picked without replacement from {n: 12, j: 3}. What is prob of picking 3 n and 1 j? 44/91 Two letters picked without replacement from {h: 6, m: 10, r: 1}. What is prob of picking 2 m? 45/136 Four letters picked without replacement from {u: 3, e: 7, a: 3, r: 2, m: 3}. What is prob of picking 1 r, 2 a, and 1 m? 1/170 Two letters picked without replacement from {h: 2, b: 2, z: 8}. What is prob of picking 2 z? 14/33 Three letters picked without replacement from zznpppnzppdzppzpuz. What is prob of picking 1 n and 2 p? 7/102 Calculate prob of picking 1 f and 1 v when two letters picked without replacement from fpvp. 1/6 Calculate prob of picking 1 d, 1 m, and 1 s when three letters picked without replacement from ddsdmsd. 8/35 Two letters picked without replacement from amiwmmmwewaamaawma. Give prob of picking 2 a. 5/51 Calculate prob of picking 1 a and 2 y when three letters picked without replacement from uybyeuueyubyay. 5/182 Calculate prob of picking 1 w, 1 l, and 1 p when three letters picked without replacement from {n: 1, w: 2, x: 2, p: 1, l: 2}. 1/14 What is prob of picking 1 e and 1 q when two letters picked without replacement from {w: 2, z: 3, q: 2, p: 3, e: 1, a: 1}? 1/33 Four letters picked without replacement from yyywxvywyyxy. What is prob of picking 1 y and 3 v? 0 What is prob of picking 1 f, 1 e, and 2 m when four letters picked without replacement from {e: 1, f: 1, y: 3, m: 2}? 1/35 Three letters picked without replacement from {o: 6, y: 5, m: 1, i: 1, t: 1, d: 2}. What is prob of picking 2 o and 1 m? 3/112 Two letters picked without replacement from {b: 3, n: 1, g: 1}. Give prob of picking 1 b and 1 n. 3/10 What is prob of picking 1 l, 2 v, and 1 j when four letters picked without replacement from {l: 1, j: 3, v: 2, y: 1}? 3/35 Calculate prob of picking 2 y when two letters picked without replacement from {y: 14, k: 5}. 91/171 Calculate prob of picking 2 e, 1 r, and 1 i when four letters picked without replacement from {e: 4, p: 1, r: 1, k: 2, i: 2}. 2/35 Two letters picked without replacement from {t: 2, z: 1, s: 5, v: 8}. Give prob of picking 1 s and 1 z. 1/24 Three letters picked without replacement from upupyyyppp. Give prob of picking 2 y and 1 u. 1/20 Calculate prob of picking 2 b when two letters picked without replacement from bkfkb. 1/10 Calculate prob of picking 2 a and 1 m when three letters picked without replacement from mfanmawtf. 1/42 What is prob of picking 1 j and 2 v when three letters picked without replacement from vjvjjjj? 1/7 Calculate prob of picking 2 p and
{ "pile_set_name": "DM Mathematics" }
1 + 4)*(-5 + 2 + 1) + 3 - 10 - 2). 312*s**5 Expand (-19 + 2 - 1)*(3 - 5 + 1)*(123*y - 262*y + 278*y)*(3 + 0 - 1)*(3 - 6 + 2). -5004*y Expand (-g + g - 2*g**3)*(g**2 + 1 - 1) + 5*g**4 - 5*g**4 - g**5 - 372*g**5 - 97*g**5 - 3597*g**5. -4069*g**5 Expand (6 + 1 - 8)*(-55*d + 42*d - 30*d) + (3 - 3 + 1)*(d + 0*d - 3*d) - 2*d - 1 + 1. 39*d Expand (-4*k**2 + 3*k**2 + 2*k**2)*(0*k + k + 0*k) + k**3 - 4*k**2 + 4*k**2 + 4*k**2 - 4440*k**3 + 4576*k**3 + 5*k**2. 138*k**3 + 9*k**2 Expand (-3 + 5 - 3)*((2*v - 2*v + v)*(-4 + 4 + 1) - 33 - 34*v - 45*v + 75*v + 1 + 3*v - 1 + v + v - 3*v - v + 5*v - 2*v + (0 + 0 - 2)*(-v + 0 + 0)). -3*v + 33 Expand (-5*a + 3*a + 0*a)*(0*a + 0*a + 2*a**3) + 3*a**4 - a**4 - 4*a**4 + (3*a - 6*a - 2*a)*(2*a**3 - 3*a**3 + 3*a**3) + 0*a - a**4 + 0*a. -17*a**4 Expand (-u + 7*u - 4*u)*(-423 - 29 + 158). -588*u Expand (9 + 1 + 0)*(-58*p**3 - 1578 + 1578 - p). -580*p**3 - 10*p Expand -6*a + 3*a + 4*a + (-539 - 281 + 371)*(2*a + a - 2*a)*(-2 + 3 + 1). -897*a Expand (-3 + 2 - 2)*(-3*j**3 + 5*j**3 + 0*j**3) - 11*j**2 - 6*j**3 + 11*j**2 + 357*j**3 - 4*j**3 - 162*j**3. 179*j**3 Expand 4*s**3 - 6*s**3 + 3*s**3 - 4*s**3 - s**3 + 3*s**3 + (-s**3 - 2 + 2)*(-1 + 3 + 0) + 459*s**3 - 511*s**3 + 343*s**3. 288*s**3 Expand (1 + 0 - 2)*(160 - 45 + 60)*(-3*q - 2*q + 0*q)*(8 + 2 - 2). 7000*q Expand (-101*x - 2008*x**2 + 2012*x**2 + 377*x)*(-x - x**2 + x). -4*x**4 - 276*x**3 Expand (0 - 1 - 1)*(877 - 460 - 10*v - 5*v**2 - 440). 10*v**2 + 20*v + 46 Expand -3*a**3 + 2*a**3 - a**3 + (-3*a - 2*a - 4*a)*(-322*a - 21*a - 112*a)*((2 + 1 - 2)*(a + 0*a + 0*a) + 0*a + 3*a - a - 4*a + 5*a - 2*a + a + 0*a - 2*a). 4093*a**3 Expand (0 - 4 + 5)*(-987*k**3 + 1189*k**3 - 1357*k**3) - 2*k**3 - k**3 + 4*k**3. -1154*k**3 Expand (0*h - 3*h - 2*h + (3 + 2 - 4)*(-2*h - 2 + 2))*(319*h - 753*h + 384*h)*(-5 + 3*h + 5). 1050*h**3 Expand (-105*h**2 + 237 - 234 - 61*h**2)*(17 - 3*h**2 - 17). 498*h**4 - 9*h**2 Expand (t - 2*t**2 - t)*(6 - 3 - 1) - 6738*t**2 + 1450*t**2 - 7947*t**2 - 9873*t**2 + 6392*t**2. -16720*t**2 Expand 6*y**3 + 45*y**2 - 45*y**2 + 3*y**4 + (2*y + 3*y - 4*y)*(7*y**3 - 5478*y**2 + 5478*y**2 + 9*y). 10*y**4 + 6*y**3 + 9*y**2 Expand -3*p + 2*p + 0*p - 2*p - 1 + 1 + (-p + p + p)*(-3 - 2 + 4) + (0 + 3 - 4)*(-p + 1 - 1) + (-99 - 89 + 194)*(-p + p - p) + p - 3*p + 4*p. -7*p Expand 3*v**3 - 37 - 22069*v + 22069*v + v**2 + (0*v - 3*v + 0*v)*(-v**2 + 2 - 2). 6*v**3 + v**2 - 37 Expand (-1 - 1 + 4)*(b**2 + 13*b**2 - b**2) + (-157 - 54 - 140)*(1 + 3 - 6 + (3 + 0 - 1)*(-5 + 0 + 3) - 3 - 1 + 3 - 3 + 3 - 2)*(0*b**2 - 2*b**2 + 4*b**2). 6344*b**2 Expand (-2*n - 4*n - n)*(n + n - n)*(2*n + 2*n - 5*n - n + 4*n - n + (0 + 2 - 1)*(-4 + 4 + 2*n) + 3*n + n - 2*n) + (6 - 22 - 7)*(2*n - 2*n + n**3). -58*n**3 Expand ((36 - 9*t - 36)*(-3 - 4 + 4) + (7*t - 5*t + 7*t)*((-3 + 4 + 1)*(5 - 2 - 2) + 4 - 4 + 3))*(-4 - 4 + 3). -360*t Expand (2 + 5 - 4)*(85158*w - 85344*w + 4 - 2). -558*w + 6 Expand (5*o - 132*o**2 - 5*o + (2*o - 2*o - 2*o)*(-3*o + 1 - 1))*(12*o - 12*o + 3*o**2). -378*o**4 Expand (-5 + 2 - 3)*(5*s**2 - 3*s**2 - s**3 - 6*s**2) + (s - s + s**2)*(-2*s - 5*s + 0*s). -s**3 + 24*s**2 Expand (1 + 2*a + 0*a - 2)*(-a + 1 - 1) + (-6*a**2 + a**2 + 0*a**2)*(6 + 18 + 22). -232*a**2 + a Expand (o - 6*o + o - 2 + 2 + 2*o + (-2 + 0 + 0)*(0*o - 2*o + 4*o) - 5*o + 2*o + 2*o)*(16520 + 89*o - 16520)*(0*o**3 - 4*o**3 - 2 + 2*o**3). 1246*o**5 + 1246*o**2 Expand -7*o**4 + 584*o**5 + 4*o - 585*o**5 - 2*o + o**2 + (13*o**2 + 2 - 2)*(-2*o**3 + 2*o**3 - 2*o**3). -27*o**5 - 7*o**4 + o**2 + 2*o Expand 7*l + 22 - 22 + (68*l - 157*l + 43*l)*(1 + 4 - 3) + (-4 - 1 + 4)*(-l - 3 + 3). -84*l Expand (1 - 5 + 3)*(3934*o - 7877*o + 3944*o - 3529). -o + 3529 Expand (-15*h**3 + 9057*h**2 - 2*h - 9057*h**2)*(-86*h + 86*h - 288*h**2). 4320*h**5 + 576*h**3 Expand (-2*v**2 + 3*v**2 + 0*v**2)*(2 - 2 - 1) + 683194*v - 727*v**2 - 683194*v. -728*v**2 Expand (-188*l - 158*l - 66*l)*(-14*l**4 + 17 - 17). 5768*l**5 Expand 3 - 4*w**3 - 3 + (-4*w**2 + w**2 - w**2)*(w - 2*w - w) + 2*w**3 - 5*w**3 + 0*w**3 + (5 - 5 + 3)*(-w**3 - w + w). -2*w**3 Expand 2 - 2*t**2 - 2 + 16*t**2 + 7*t**2 - 8*t**2 - 2*t**2 - 2*t + 2*t + (121*t + 178*t - 209*t)*(3*t + 2*t - 6*t). -79*t**2 Expand ((-3 + 3 - v)*(1 - 2 + 3) - v + 0 + 0 + 0*v - 4*v + 2*v)*(2*v - 14901*v**2 + 14901*v**2 - 412*v**4). 2060*v**5 - 10*v**2 Expand (3*q - 5*q + 3*q + (2 - 5 + 1)*(-2*q + 3*q - 2*q))*(-278*q**2 - 133*q**2 + 1379*q**2). 2904*q**3 Expand (-2*g - 6 + g + 2)*(4526 + 7605 + 6947 - 2333). -16745*g - 66980 Expand 2*c**4 - 18*c**4 - 38*c**4 + 0*c**4 - c**4 + 0*c**4 + (c**3 - 3 + 3)*(c - 2*c - c) + 7*c**2 - 5*c**4 - 13*c**2 + 3*c**4. -59*c**4 - 6*c**2 Expand (-69*z - 121*z - z)*(-5*z + 5*z + 2*z**2) - 2*z**3 + 2*z**3 - z**3. -383*z**3 Expand (4*c + 0*c - 2*c)*(2*c - 4*c - 7*c)*(0 - 3 + 2)*(-16*c + 6*c + 7*c - 16). -54*c**3 - 288*c**2 Expand (3*s - s + s)*(-2 + 1 - 1)*(-102*s - 1045*s - 328*s) - 4*s + 0*s**2 + 2*s**2 - 3*s**2. 8849*s**2 - 4*s Expand (1 + 304*a + 5 - 7)*(2*a - 2*a - a)*(-2*a - a**2 + 2*a)*(2 + 2 + 3). 2128*a**4 - 7*a**3 Expand -3*i**2 + i**2 + 0*i**2 - 1040*i**2 + 602183 - 602183 - 3*i**2 + 0*i**2 + i**2 + (-5*i + 2*i + 2*i)*(-i + 0*i + 2*i). -1045*i**2 Expand (-516*y + 550 + 886*y - 377*y)*(-2*y**3 + 0*y**2 + 0*y**2)*(-1 + 1 + 2*y). 28*y**5 - 2200*y**4 Expand (2*u + 0*u - u)*(-u**4 + 2*u**4 - 2*u**4) - 6*u**5 + 3*u**5 - 7*u**5 - 8*u**2 + 2*u**5 - u**5 + 19*u**2 + u**2. -10*u**5 + 12*u**2 Expand (554*n**2 - 68*n**2 - 3473*n + 3475*n)*(3*n - n + 4*n). 2916*n**3 + 12*n**2 Expand -b**5 + 1536*b**3 - 3*b**4 - 1536*b**3 - 3*b**3 + 3*b**5 + 3*b**3 + (b - 3*b**4 + 6 - 6)*(-1 - 4*b + 1). 14*b**5 - 3*b**4 - 4*b**2 Expand (-2*r + 2*r - r)*(50*r**4 + 4*r**4 + r**4). -55*r**5 Expand (-2 + 1 + 0)*(1642 + 41*w - 1642) - 5*w + 4*w - w. -43*w Expand (84 + 70 - 35)*(720*v - 722*v - 15*v**2 - 52*v**2). -7973*v**2 - 238*v Expand (7*t**3 + 35*t**3 - 16*t**3)*(2*t - 41*t - 24*t). -1638*t**4 Expand 2*h**4 - h + h**4 - 5*h**4 + (7*h**3 - 3*h**3 - 3*h**3)*(-8*h - 5*h - 3*h) + 0*h**4 - 3*h**4 + 2*h**4. -19*h**4 - h Expand (-625*n + 185*n - 555*n - 82*n)*(-2 + 2*n + 2)*(3 - 1 - 1). -2154*n**2 Expand (0 - 2 + 3)*(2*l - 3*l + 3*l)*(65984 + 65990 - 196*l - 131979). -392*l**2 - 10*l Expand -8*n + 112*n**2 + 8*n + (52 - 52 + 13*n)*(-4*n + n + 0*n). 73*n**2 Expand (7*d**3 - 1130*d**2 + 2254*d**2 + d**5 - 1138*d**2)*(-4 - 1 + 3). -2*d**5 - 14*d**3 + 28*d**2 Expand (-1 + 1 + 2*z**2)*(-2 + 0 + 0) + (-3 - 2 + 3)*(132 - 132 - 117*z**2). 230*z**2 Expand -33*s**2 - 75*s**2 + 32*s**2 + (-20 - 10*s + 20)*(0*s - s + 0*s). -66*s**2 Expand ((-a + 3*a + 0*a)*(2 - 11 + 0) + (3 - 3 - a)*(-3 + 1 + 0))*(209*a - 29*a + 184*a + (-3 + 2 + 0)*(-a + 1 - 1)). -5840*a**2 Expand (5*v - 18*v - 3*v)*(-23*v**2 + 5*v**2 - 3*v**4 - 33*v**2). 48*v**5 + 816*v**3 Expand 0*m**3 - m**4 + 0*m**3 + (2*m - 8 + 8)*(9*m**2 - 7935*m**3 + 15869*m**3 - 2*m - 7928*m**3). 11*m**4 + 18*m**3 - 4*m**2 Expand (37*g - 5*g - 28*g + 22)*(-2 + 199*g - 132*g - 104*g). -148*g**2 - 822*g - 44 Expand 0*q**5 + 2*q**5 - 3*q**5 + (1 - 1 - 4*q**3)*(-64*q**2 - 6*q**2 + 17*q**2) + 4*q**5 + 78 - 78 - q**5. 214*q**5 Expand (275*b + 64*b - 71*b)*(-4 - 1 + 3)*(-13*b**2 + 3*b**2 + 2*b**2). 4288*b**3 Expand (-15*j**2 - 18*j**2 + 11*j**2)*(47*j**3 + 182*j**3 - 16*j**3). -4686*j**5 Expand -1 + 10*j - j**3 + 2 + 3*j**3 + 0*j**3 + 2*j**3 - j**3 + (-1 - 1 + 0)*(-2*j**3 - 2*j**2 + 2*j**2) + 56*j**3 - 17*j + 7*j + 11*j. 63*j**3 + 11*j + 1 Expand (-31*u - 154*u + 38*u)*(3 - 3 + 1)*(19 - 19 + 50*u). -7350*u**2 Expand (-3 + 5 + 4)*(40 + 98 - 16)*(-5*b**3 - 21*b**3 - 9*b**3 - 2 + 4). -25620*b**3 + 1464 Expand (1 - 5 + 2)*(2*z**3 - 2*z + 3959 - 7937 + 3973 + 37*z**2). -4*z**3 - 74*z**2 + 4*z + 10 Expand (220 - 29 - 42 - 43)*(-2*l**3 + 0*l + 0*l). -212*l**3 Expand (48 + 37 + 45)*(42*m - 56*m + 69*m + 44*m + 59*m). 20540*m Expand (3*f - 4*f + 0*f + (-f + 16*f + f)*(1 + 3 - 3))*(-f + 0*f - 2*f) - f**2 - 3*f**2 + 14*f**2. -35*f**2 Expand (17*z - 14*z**2 - 17*z)*((-2 + 1 - 1)*(0 - 4 + 5) + 1 + 6 - 3 + 0 - 3 + 0). 14*z**2 Expand (3*c**2 - 2*c**2 - 2*c**2)*(-6624*c**3 + 2908*c**3 + 1469*c**3). 2247*c**5 Expand (1 - 1 + 2)*(-15 + 64 + 30)*(-9 + 29*y**2 + 9). 4582*y**2 Expand (0*t**4 + 2*t**4 + t**4)*(663*t + 2256*t - 420*t + 5532*t - 1218*t). 20439*t**5 Expand 3*w**4 + w**4 + 0*w**
{ "pile_set_name": "DM Mathematics" }
-202, -1036, -2912, -6226, -11374, -18752, -28756? -41782 What comes next: -530702277, -530702275, -530702271, -530702265, -530702257, -530702247? -530702235 What comes next: 107726, 430913, 969564, 1723679, 2693258? 3878301 What comes next: -10943309, -10943316, -10943335, -10943372, -10943433, -10943524? -10943651 What is next in 12314478, 24628956, 36943434, 49257912, 61572390, 73886868? 86201346 What comes next: -8434, -11311, -14188, -17065? -19942 What comes next: 6432, 25558, 57402, 101982, 159316? 229422 What comes next: 3199, 5617, 8011, 10369, 12679? 14929 What comes next: -29169, -58406, -87675, -116976? -146309 What comes next: -830395, -1660790, -2491185, -3321580? -4151975 What comes next: 2292, 4534, 6782, 9042, 11320, 13622, 15954? 18322 What comes next: -1983, -17346, -59469, -141732, -277515, -480198, -763161? -1139784 What comes next: -5164431, -10328796, -15493161, -20657526, -25821891? -30986256 What is next in -87070, -87093, -87116, -87139, -87162? -87185 What is next in 57419, 114659, 171899? 229139 What is next in -1261, -5074, -11475, -20500, -32185? -46566 What is the next term in -5009, -10454, -15899, -21344, -26789, -32234? -37679 What comes next: -12294802, -12294790, -12294774, -12294754, -12294730? -12294702 What is next in 49805, 48847, 47889, 46931, 45973? 45015 What is next in 5359, 21435, 48227, 85735? 133959 What is next in 13156, 12923, 12690, 12457, 12224, 11991? 11758 What is the next term in -2016, -2783, -3530, -4251, -4940, -5591, -6198, -6755? -7256 What is the next term in 72209, 78813, 96735, 131633, 189165, 274989, 394763? 554145 What comes next: 1225532, 1225664, 1225798, 1225934, 1226072? 1226212 What is the next term in 8163, 15744, 23325, 30906, 38487, 46068? 53649 What comes next: -3567649, -7135291, -10702937, -14270587, -17838241, -21405899? -24973561 What comes next: 71314, 285095, 641348, 1140073, 1781270? 2564939 What is next in 1658868, 3317478, 4976088, 6634698, 8293308? 9951918 What is next in 333933, 334008, 334127, 334284, 334473? 334688 What comes next: -4963, -10210, -15457, -20704, -25951? -31198 What comes next: -734, -1572, -2470, -3434, -4470, -5584, -6782? -8070 What comes next: 22167, 21985, 21803, 21621, 21439? 21257 What is next in 18670, 37211, 55748, 74281, 92810? 111335 What is next in 45986, 46031, 46088, 46163, 46262, 46391? 46556 What is next in 323477, 646958, 970439, 1293920? 1617401 What is next in 137441, 137273, 137105, 136937, 136769, 136601? 136433 What is next in 548, 1905, 4180, 7373, 11484, 16513? 22460 What comes next: 141659, 141558, 141389, 141152, 140847, 140474? 140033 What is next in -515942722, -515942723, -515942724? -515942725 What comes next: 308921, 308962, 309003, 309044, 309085? 309126 What comes next: 175745, 351913, 528515, 705557, 883045, 1060985, 1239383, 1418245? 1597577 What is next in -4957467, -4957446, -4957423, -4957398, -4957371, -4957342? -4957311 What is next in 224, 958, 1894, 3032, 4372, 5914? 7658 What is next in 4880932, 9761880, 14642830, 19523782, 24404736, 29285692, 34166650? 39047610 What is the next term in 203534881, 203534885, 203534889, 203534893? 203534897 What is next in 27513, 55179, 82845, 110511, 138177, 165843? 193509 What is the next term in -15804, -63128, -141868, -251916, -393164, -565504, -768828, -1003028? -1267996 What is next in -27501, -45550, -63603, -81660? -99721 What comes next: 16392, 16403, 16420, 16443, 16472? 16507 What is next in -5559962, -22239836, -50039626, -88959332? -138998954 What is the next term in 16377798, 16377801, 16377804, 16377807, 16377810, 16377813? 16377816 What is the next term in -1880, -15059, -50792, -120353, -235016, -406055, -644744? -962357 What is next in -511, -3552, -11651, -27334, -53127, -91556, -145147, -216426? -307919 What is next in -705, -2033, -4211, -7251, -11165, -15965, -21663? -28271 What is next in -25786, -51485, -76994, -102217, -127058, -151421, -175210? -198329 What is next in 1893, 15071, 50741, 120117, 234413, 404843? 642621 What comes next: -141650, -283492, -425334? -567176 What comes next: 23277, 88190, 196379, 347844, 542585, 780602, 1061895? 1386464 What is the next term in -23163, -45767, -67275, -87141, -104819, -119763, -131427? -139265 What is next in -269121120, -538242238, -807363356, -1076484474, -1345605592, -1614726710? -1883847828 What comes next: -346, -1621, -4630, -10249, -19354, -32821? -51526 What is the next term in 6371, 5577, 4253, 2399, 15, -2899? -6343 What is next in -26452, -26322, -26192, -26062, -25932, -25802? -25672 What is the next term in 19201, 76926, 173133, 307822, 480993, 692646, 942781? 1231398 What comes next: 241, 1043, 2891, 6307, 11813, 19931, 31183, 46091? 65177 What comes next: 6323, 6612, 7057, 7658, 8415, 9328, 10397? 11622 What is next in -5619, -3742, -1861, 24, 1913? 3806 What is next in 39660414, 39660418, 39660424, 39660432, 39660442, 39660454, 39660468? 39660484 What is next in -1834, -3751, -5716, -7723, -9766, -11839? -13936 What comes next: 2215125, 4430327, 6645529, 8860731, 11075933, 13291135? 15506337 What comes next: -10751570, -10751587, -10751590, -10751573, -10751530, -10751455, -10751342? -10751185 What is the next term in 22139907, 22139988, 22140117, 22140288, 22140495, 22140732, 22140993, 22141272? 22141563 What is the next term in 1251149, 2502308, 3753481, 5004674, 6255893, 7507144? 8758433 What is the next term in 6496, 6398, 6240, 6034, 5792? 5526 What is the next term in 13331348, 26662698, 39994048, 53325398? 66656748 What comes next: 14991, 14771, 14551, 14331? 14111 What is the next term in 931, 1735, 2147, 1969, 1003? -949 What is the next term in 59883, 59939, 60007, 60093, 60203? 60343 What comes next: 13379394, 26758791, 40138188, 53517585? 66896982 What comes next: 30646, 30571, 30496, 30421, 30346, 30271? 30196 What comes next: 176, -571, -1308, -2035? -2752 What is the next term in -170710, -341362, -512014, -682666, -853318, -1023970? -1194622 What comes next: 5841281, 5841280, 5841279, 5841278? 5841277 What is next in -482750, -965505, -1448260, -1931015, -2413770? -2896525 What is next in -3995007, -3995006, -3995005, -3995004, -3995003? -3995002 What is next in 113261, 226531, 339801, 453071, 566341, 679611? 792881 What is the next term in -692, -1205, -1792, -2489, -3332? -4357 What is next in 10683, 10723, 10833, 11049, 11407, 11943, 12693, 13693? 14979 What is next in -106739, -213499, -320269, -427049, -533839? -640639 What comes next: 233969, 233975, 233979, 233981, 233981? 233979 What is the next term in -2098, -2056, -1978, -1864, -1714, -1528? -1306 What is the next term in 55139429, 55139420, 55139411, 55139402? 55139393 What comes next: 1177110, 2354241, 3531372, 4708503? 5885634 What comes next: 3506767, 7013513, 10520267, 14027035, 17533823, 21040637? 24547483 What is the next term in 5759754, 5759755, 5759756? 5759757 What is next in 31128307, 31128311, 31128317, 31128325, 31128335? 31128347 What is next in 381596, 381621, 381684, 381803, 381996, 382281? 382676 What is the next term in 4516, 4028, 2680, 34, -4348? -10904 What is next in 503, -57, -617, -1177? -1737 What comes next: -6501, -12610, -18737, -24882, -31045, -37226? -43425 What comes next: -28109328, -28109326, -28109324, -28109322, -28109320? -28109318 What comes next: 73659, 294733, 663189, 1179027, 1842247, 2652849? 3610833 What is the next term in -176621279, -353242556, -529863833, -706485110? -883106387 What comes next: -7060, -7063, -7126, -7249, -7432, -7675, -7978? -8341 What comes next: 12030, 18690, 25350, 32010? 38670 What is next in -352163, -704807, -1057451? -1410095 What is next in 499495, 498086, 496677, 495268, 493859, 492450? 491041 What comes next: -97275, -97531, -98229, -99591, -101839, -105195? -109881 What comes next: 4804640, 19218553, 43241746, 76874219, 120115972, 172967005? 235427318 What is next in 60993, 61012, 61031, 61050, 61069? 61088 What is the next term in 65731, 135671, 205611, 275551? 345491 What is the next term in 2651, 2842, 3323, 4226, 5683, 7826, 10787? 14698 What is the next term in -13416, -26818, -40226, -53646, -67084, -80546, -94038? -107566 What is the next term in -10712, -17575, -24438, -31301? -38164 What is the next term in 566307309
{ "pile_set_name": "DM Mathematics" }
and -145/168. 810264 Calculate the lowest common multiple of 38784 and 4242. 271488 Calculate the least common multiple of 15 and 274690. 824070 Find the common denominator of -5/162 and 17/1782. 1782 Calculate the least common multiple of 154014 and 1026. 1386126 Calculate the smallest common multiple of 25784 and 16. 51568 What is the smallest common multiple of 3145 and 21335? 789395 What is the lowest common multiple of 10 and 32076? 160380 What is the lowest common multiple of 12490 and 6245? 12490 What is the common denominator of -4/5 and 119/964310? 964310 Calculate the common denominator of 65/11736 and 7/44. 129096 What is the lowest common multiple of 261 and 2088? 2088 Find the common denominator of 91/34928 and -35/39294. 314352 What is the common denominator of -97/3570 and -91/1518? 903210 What is the common denominator of 61/11823 and 55/15764? 47292 Calculate the lowest common multiple of 39672 and 1218. 277704 Calculate the lowest common multiple of 318630 and 780. 637260 Find the common denominator of -103/54 and 92/54585. 327510 What is the least common multiple of 234 and 4896? 63648 Find the common denominator of 9/2177 and -121/33588. 235116 Find the common denominator of -15/8236 and -143/37932. 2693172 What is the common denominator of 137/312 and 10/36957? 3843528 Calculate the least common multiple of 8775 and 104. 70200 Calculate the least common multiple of 253313 and 47128. 2026504 Find the common denominator of -163/287970 and -45/638. 3167670 What is the common denominator of -49/46912 and -155/246288? 985152 Calculate the lowest common multiple of 18270 and 130. 237510 Calculate the smallest common multiple of 41036 and 12. 123108 Calculate the common denominator of 91/40 and -45/74504. 372520 Calculate the smallest common multiple of 92565 and 623271. 9349065 Calculate the least common multiple of 13014 and 81. 39042 What is the least common multiple of 942 and 8? 3768 What is the common denominator of -121/630 and -145/3624? 380520 What is the common denominator of 15/674 and -23/16574? 5585438 Find the common denominator of -63/86806 and -101/300. 13020900 Calculate the smallest common multiple of 52580 and 20. 52580 What is the least common multiple of 1519 and 70756? 2193436 Calculate the common denominator of -15/4408 and 43/23199. 5382168 Calculate the smallest common multiple of 20 and 35066. 350660 Find the common denominator of -151/594 and -61/153384. 1380456 Find the common denominator of 7/8 and -59/166. 664 What is the lowest common multiple of 41424 and 93204? 372816 Calculate the common denominator of -103/20740 and -27/22. 228140 Find the common denominator of 71/4515 and 163/1164870. 1164870 Calculate the smallest common multiple of 232 and 220. 12760 Calculate the lowest common multiple of 24 and 177036. 354072 What is the lowest common multiple of 672 and 65184? 65184 What is the lowest common multiple of 3655 and 205? 149855 What is the least common multiple of 45 and 15174? 75870 What is the least common multiple of 6086 and 54774? 54774 Calculate the lowest common multiple of 774 and 70974. 3051882 Calculate the smallest common multiple of 281060 and 455. 1967420 What is the lowest common multiple of 2664 and 36? 2664 What is the common denominator of 69/93826 and -3/473? 1032086 Calculate the least common multiple of 6303 and 327183. 3599013 Calculate the common denominator of 31/57748 and 99/1443700. 1443700 Calculate the smallest common multiple of 178850 and 625975. 1251950 Calculate the least common multiple of 4368 and 67392. 471744 Calculate the common denominator of -103/4720 and 33/64. 18880 What is the least common multiple of 25504 and 873512? 3494048 Calculate the smallest common multiple of 759 and 23100. 531300 What is the common denominator of 20/363 and -1/5522? 182226 Find the common denominator of -79/13041 and -2/1035. 65205 Find the common denominator of 4/185 and 109/62160. 62160 Find the common denominator of -29/1942 and -87/1748. 1697308 Calculate the least common multiple of 702 and 51948. 51948 Calculate the least common multiple of 22578 and 48. 180624 What is the common denominator of -145/258 and -123/430? 1290 What is the common denominator of -47/48 and -31/462852? 1851408 Find the common denominator of 7/1458 and -88/52731. 316386 Find the common denominator of 29/33 and -26/23487. 258357 Calculate the common denominator of -161/312 and 61/40. 1560 Find the common denominator of -71/47715 and 56/75. 238575 Calculate the common denominator of 19/12 and -121/15432. 15432 Calculate the common denominator of 67/21 and 65/61509. 61509 Calculate the lowest common multiple of 25152 and 1024. 402432 Calculate the lowest common multiple of 7684 and 16. 30736 What is the lowest common multiple of 30 and 16065? 32130 Find the common denominator of -1/21708 and 13/9648. 86832 Calculate the common denominator of -23/19510 and -56/11. 214610 What is the lowest common multiple of 1222 and 1592877? 3185754 Find the common denominator of -97/176 and -143/5472. 60192 Calculate the common denominator of 103/2518250 and 43/250. 2518250 What is the common denominator of -76/144921 and -22/147? 1014447 What is the least common multiple of 12 and 142401? 569604 Calculate the lowest common multiple of 97482 and 6. 97482 Calculate the common denominator of 88/135 and 11/6075. 6075 What is the common denominator of 29/346420 and -119/18? 3117780 What is the lowest common multiple of 45072 and 22536? 45072 Find the common denominator of -71/10 and -7/24084. 120420 What is the least common multiple of 20 and 1914? 19140 What is the common denominator of 5/11742 and 71/30591? 1162458 What is the common denominator of -89/282772 and 89/444356? 3110492 Find the common denominator of -69/56 and -97/3320. 23240 What is the least common multiple of 6165 and 480? 197280 Calculate the smallest common multiple of 1550 and 1891. 94550 What is the least common multiple of 10 and 97338? 486690 Calculate the lowest common multiple of 558 and 9114. 27342 What is the lowest common multiple of 11828 and 508? 1502156 Calculate the least common multiple of 3 and 25509. 25509 What is the common denominator of -80/3333 and -45/451066? 1353198 What is the least common multiple of 101010 and 5180? 202020 Calculate the common denominator of 41/12150 and -67/66. 133650 What is the least common multiple of 208355 and 89295? 625065 What is the smallest common multiple of 34 and 110? 1870 What is the least common multiple of 22496 and 4736? 89984 What is the lowest common multiple of 12980 and 87320? 960520 Find the common denominator of -53/851 and 28. 851 What is the smallest common multiple of 11780 and 2356? 11780 What is the lowest common multiple of 427 and 183? 1281 Calculate the least common multiple of 24 and 2066472. 2066472 Calculate the smallest common multiple of 1266 and 7988. 5056404 Calculate the least common multiple of 411366 and 1962. 1234098 What is the common denominator of -67/72 and 173/156150? 624600 Calculate the smallest common multiple of 120 and 26400. 26400 What is the lowest common multiple of 9177 and 8740? 183540 Find the common denominator of 101/2146 and -5/2378. 87986 What is the common denominator of 103/82 and 163/1110? 45510 What is the smallest common multiple of 12005 and 889? 1524635 What is the smallest common multiple of 209 and 43871? 482581 Find the common denominator of -17/19950 and -43/6900. 917700 What is the lowest common multiple of 59136 and 22176? 177408 Calculate the common denominator of 7/48 and -125/12384. 12384 Find the common denominator of -22/909 and -74/9393. 28179 What is the smallest common multiple of 18270 and 7020? 1425060 What is the common denominator of -56/23529 and -79/465? 117645 Calculate the lowest common multiple of 82502 and 1494. 742518 What is the smallest common multiple of 52 and 72605? 290420 Find the common denominator of 95/5796 and -101/354384. 2480688 Calculate the lowest common multiple of 21576 and 56637. 453096 Calculate the common denominator of 46/534765 and 179/1847370. 20321070 Find the common denominator of -11/41128 and 13/61. 2508808 Calculate the lowest common multiple of 35100 and 2106. 105300 Calculate the l
{ "pile_set_name": "DM Mathematics" }
nearest integer? 3 What is the eighth root of 3669 to the nearest integer? 3 What is the third root of 16207 to the nearest integer? 25 What is the third root of 1571 to the nearest integer? 12 What is 34283 to the power of 1/3, to the nearest integer? 32 What is the cube root of 2144 to the nearest integer? 13 What is the third root of 1157 to the nearest integer? 10 What is the third root of 8788 to the nearest integer? 21 What is the cube root of 11151 to the nearest integer? 22 What is the cube root of 1329 to the nearest integer? 11 What is the cube root of 20172 to the nearest integer? 27 What is the tenth root of 49459 to the nearest integer? 3 What is 1483 to the power of 1/2, to the nearest integer? 39 What is 42082 to the power of 1/9, to the nearest integer? 3 What is the square root of 1802 to the nearest integer? 42 What is 24938 to the power of 1/2, to the nearest integer? 158 What is 36578 to the power of 1/9, to the nearest integer? 3 What is 47 to the power of 1/3, to the nearest integer? 4 What is the tenth root of 8432 to the nearest integer? 2 What is 4177 to the power of 1/9, to the nearest integer? 3 What is the third root of 17987 to the nearest integer? 26 What is 121078 to the power of 1/3, to the nearest integer? 49 What is the seventh root of 1810 to the nearest integer? 3 What is the sixth root of 14836 to the nearest integer? 5 What is the sixth root of 898 to the nearest integer? 3 What is 1608 to the power of 1/2, to the nearest integer? 40 What is 3951 to the power of 1/2, to the nearest integer? 63 What is 1897 to the power of 1/2, to the nearest integer? 44 What is the third root of 16139 to the nearest integer? 25 What is 12160 to the power of 1/2, to the nearest integer? 110 What is 7425 to the power of 1/10, to the nearest integer? 2 What is the third root of 2258 to the nearest integer? 13 What is 6840 to the power of 1/2, to the nearest integer? 83 What is 127314 to the power of 1/10, to the nearest integer? 3 What is the square root of 3451 to the nearest integer? 59 What is the ninth root of 14505 to the nearest integer? 3 What is the third root of 7974 to the nearest integer? 20 What is the square root of 49 to the nearest integer? 7 What is 610 to the power of 1/3, to the nearest integer? 8 What is the square root of 44064 to the nearest integer? 210 What is the seventh root of 15921 to the nearest integer? 4 What is the square root of 3082 to the nearest integer? 56 What is 3617 to the power of 1/6, to the nearest integer? 4 What is the eighth root of 26792 to the nearest integer? 4 What is the fifth root of 1928 to the nearest integer? 5 What is 6478 to the power of 1/2, to the nearest integer? 80 What is the square root of 19592 to the nearest integer? 140 What is the fifth root of 17770 to the nearest integer? 7 What is the square root of 3657 to the nearest integer? 60 What is the square root of 4703 to the nearest integer? 69 What is the cube root of 903 to the nearest integer? 10 What is the third root of 5837 to the nearest integer? 18 What is the square root of 35649 to the nearest integer? 189 What is the sixth root of 2466 to the nearest integer? 4 What is 99421 to the power of 1/8, to the nearest integer? 4 What is 57396 to the power of 1/2, to the nearest integer? 240 What is the square root of 5059 to the nearest integer? 71 What is the square root of 2754 to the nearest integer? 52 What is the square root of 155 to the nearest integer? 12 What is 68629 to the power of 1/10, to the nearest integer? 3 What is the square root of 3392 to the nearest integer? 58 What is the third root of 255 to the nearest integer? 6 What is 19404 to the power of 1/4, to the nearest integer? 12 What is 3192 to the power of 1/9, to the nearest integer? 2 What is 11339 to the power of 1/8, to the nearest integer? 3 What is the square root of 9135 to the nearest integer? 96 What is 31763 to the power of 1/2, to the nearest integer? 178 What is the eighth root of 3656 to the nearest integer? 3 What is 2535 to the power of 1/2, to the nearest integer? 50 What is the seventh root of 14789 to the nearest integer? 4 What is the ninth root of 2456 to the nearest integer? 2 What is the cube root of 173 to the nearest integer? 6 What is 17388 to the power of 1/2, to the nearest integer? 132 What is the square root of 79 to the nearest integer? 9 What is the third root of 38609 to the nearest integer? 34 What is 101241 to the power of 1/6, to the nearest integer? 7 What is 10885 to the power of 1/4, to the nearest integer? 10 What is 2138 to the power of 1/2, to the nearest integer? 46 What is 28036 to the power of 1/2, to the nearest integer? 167 What is the eighth root of 24964 to the nearest integer? 4 What is the eighth root of 643 to the nearest integer? 2 What is the third root of 6380 to the nearest integer? 19 What is the cube root of 923 to the nearest integer? 10 What is the square root of 6829 to the nearest integer? 83 What is the cube root of 18399 to the nearest integer? 26 What is 338 to the power of 1/2, to the nearest integer? 18 What is 301 to the power of 1/3, to the nearest integer? 7 What is 6992 to the power of 1/2, to the nearest integer? 84 What is 812 to the power of 1/6, to the nearest integer? 3 What is 281 to the power of 1/10, to the nearest integer? 2 What is 62372 to the power of 1/2, to the nearest integer? 250 What is the third root of 46124 to the nearest integer? 36 What is 2609 to the power of 1/3, to the nearest integer? 14 What is the cube root of 136879 to the nearest integer? 52 What is 98274 to the power of 1/3, to the nearest integer? 46 What is 4218 to the power of 1/2, to the nearest integer? 65 What is the ninth root of 12577 to the nearest integer? 3 What is the cube root of 103 to the nearest integer? 5 What is 84 to the power of 1/3, to the nearest integer? 4 What is 181 to the power of 1/8, to the nearest integer? 2 What is 5740 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 1025 to the nearest integer? 2 What is 447 to the power of 1/10, to the nearest integer? 2 What is the sixth root of 69 to the nearest integer? 2 What is 7472 to the power of 1/3, to the nearest integer? 20 What is 1064 to the power of 1/9, to the nearest integer? 2 What is 32381 to the power of 1/2, to the nearest integer? 180 What is the square root of 1838 to the nearest integer? 43 What is 1490 to the power of 1/2, to the nearest integer? 39 What is the sixth root of 1181 to the nearest integer? 3 What is 55114 to the power of 1/6, to the nearest integer? 6 What is the square root of 19160 to the nearest integer? 138 What is the cube root of 3315 to the nearest integer? 15 What is 1532 to the power of 1/4, to the nearest integer? 6 What is the seventh root of 25708 to the nearest integer? 4 What is 34801 to the power of 1/7, to the nearest integer? 4 What is the tenth root of 863 to the nearest integer? 2 What is the square root of 1866 to the nearest integer? 43 What is the sixth root of 4413 to the nearest integer? 4 What is the ninth root of 44028 to the nearest integer? 3 What is 1008 to the power of 1/3, to the nearest integer? 10 What is the cube root of 15796 to the nearest integer? 25 What is the square root of 4020 to the nearest integer? 63 What is the square root of 2220 to the nearest integer? 47 What is the square root of 2600 to the nearest integer? 51 What is the cube root of 29362 to the nearest integer? 31 What is 30861 to the power of 1/8, to the nearest integer? 4 What is 89345 to the power of 1/9, to the nearest integer? 4 What is 31346 to the power of 1/4, to the nearest integer? 13 What is 110 to the power of 1/2, to the nearest integer? 10 What is 2283 to the power of 1/2, to the nearest integer? 48 What is 1998 to the power of 1/3, to the nearest integer? 13 What is 23717 to the power of 1/2, to the nearest integer? 154 What is the cube root of 17158 to the nearest integer? 26 What is 48926 to the power of 1/10, to the nearest integer? 3 What is 11277 to the power of 1/2, to the nearest integer? 106 What is 18673 to the power of 1/2, to the nearest integer? 137 What is the square root of 34259 to the nearest integer? 185 What is the fourth ro
{ "pile_set_name": "DM Mathematics" }
r f. -1 Let a = 21 - 16. Suppose 0 = 4*i - y - 60, 0 = a*i + 5*y - 50. Let t = -11 + i. Solve -t = -3*o - 12 for o. -3 Let k be (-49)/(-14) - 1/(-2). Suppose 4*y = k*r + 24, 3*r = -5*y - 2*r. Let h be (-4 + 2)/(y/(-6)). Solve f + h*f = -5 for f. -1 Suppose -9*m + 20 + 34 = 0. Let j(v) = 7*v**2. Let n be j(1). Suppose 6*s = n*s - m. Solve -s*u + u + 15 = 0 for u. 3 Suppose -10 = f + 3*y - 0*y, 0 = -2*f - y. Let t(n) = -n**2 - 2*n + 3. Let b be t(-3). Solve -3*j - f + 11 = b for j. 3 Let o = -393 - -405. Solve -o = -21*k + 27*k for k. -2 Suppose -3*i + 3 + 6 = 0. Suppose -65 = 5*q - i*z - 160, -3*q = 3*z - 81. Suppose -2*c - 25 + 9 = -3*h, -c = -5*h + q. Solve v + h = 6 for v. 2 Suppose -10 = -5*k - 10*d + 6*d, 5*d = 3*k - 6. Solve 0 = k*w + 16 - 26 for w. 5 Let o(v) = 21*v**2 + 19*v + 51. Let d be o(-3). Solve -3*h - 168 = -d for h. 5 Let p be 3/(-7) - (-1295)/49. Suppose p = -2*n + 5*g + 61, 5*n - 10 = -3*g. Suppose -4*h - h = -n. Solve d = h + 2 for d. 3 Let p(w) = -w**3 + 16*w**2 + 36*w + 17. Let a be p(18). Solve -q - a = -18*q for q. 1 Suppose -4*m - 301 = -329. Solve -4*z - 11 = -m for z. -1 Suppose 3*y + 3 = 5*p - 10, p = -4*y + 21. Suppose -3*m - 25 = -5*t - 0*m, -y*m = t + 18. Solve -t - 1 = -q for q. 3 Suppose -14 = -5*c + z, -2*z = 3*c - 11 - 0. Let w(g) = g + 16. Let b(q) = 2*q**3 + 4*q**2 + 2*q - 3. Let u be b(-2). Let n be w(u). Solve n = 3*i + c for i. 2 Suppose -c = y - 4*y + 87, -5*y - 4*c = -128. Let q = y - 22. Suppose -q = -4*j + j. Solve -j*k - 12 = 2*k for k. -3 Let w(n) = 2*n + 34. Let l be w(0). Suppose -3*b = 4*a - 9*a + l, a - 14 = 3*b. Let u = 5 - 0. Solve -a = 5*c + u for c. -2 Suppose 2*x = 4*x - 26. Let h(v) = -2*v**2 + 16*v**2 - v**3 - 6*v + 5*v + 18 - v**2. Let g be h(x). Solve 0*c - g = c for c. -5 Let w = 397 - 384. Solve 0 = w*s - 16*s - 6 for s. -2 Let d(u) = 3*u - 6. Let o be d(7). Solve -4*h + 9*h + o = 0 for h. -3 Suppose -2*l + 29 = 3*q - 120, 0 = 4*q + l - 202. Suppose -27 = -3*k + q. Let a = k - 26. Solve a - 1 = r for r. -1 Suppose -1 + 3 = g. Let p(d) = -9*d - 12 - 5 + 7 - d**g. Let c be p(-4). Solve 2*u + c = 7*u for u. 2 Let c = -41 - -49. Let d be c*(-4)/(-6) - 36/108. Solve 0 = d*f - 4*f for f. 0 Let c(w) = 5*w + 10. Let a(t) = -4*t - 9. Let z(l) = -6*a(l) - 5*c(l). Let o be z(2). Solve 7*m + 10 = o*m for m. -2 Suppose -4*j = 0, -5*j - 60 = -5*i - 2*j. Let m(x) = 0*x + 6 + 8 - 8*x + 7*x. Let c be m(i). Solve -c*k = 5 + 1 for k. -3 Suppose -1221*y - 40 = -1225*y. Solve 0 = 7*n - 2*n - y for n. 2 Suppose 0 = 2*j - 4*h + 12, 4*j + 5 = 5*h - 10. Let y be 1 - ((-5 - -2) + j). Solve -y*t = -0*t for t. 0 Let c(t) = 3*t**2 + 32*t + 47. Let w be c(-9). Let n be -1 + (-1 - 0) + 15. Solve 3*z - n = w for z. 5 Let w(h) = 9*h - 1. Let j = -1 - -2. Let r be w(j). Suppose 6*p - 2*p - r = 0. Solve -7 + 1 = p*k for k. -3 Let i(q) = 7*q**3 - 3*q**2 + 2*q. Let m be i(1). Solve -m*g = -3*g + 12 for g. -4 Let j = -1 + 6. Let k = -625 - -629. Solve 11 + k = j*v for v. 3 Let g(f) = -f**3 + 16*f**2 + 18*f - 5. Let z be g(17). Suppose 0 = n - y - 4, -3*y - z + 0 = 0. Solve -d = -n*d for d. 0 Let k(o) = -o**2 + 8*o - 7. Suppose 2*u + 3 = x + u, u - 3 = 0. Let c be k(x). Suppose 0 = -0*i - i + p + 3, 0 = 5*p + c. Solve -i*v = -3*v for v. 0 Let z = -8 - 0. Let y(s) = s + 12. Let v be y(z). Solve v*t - 16 = -0*t for t. 4 Suppose -2*o + 5*o + 4*k - 22 = 0, 42 = 5*o + 4*k. Solve -o*q - 30 = -0*q for q. -3 Suppose b - 16 = -4*k + 6, 5*b - 35 = -5*k. Let r = 5 - b. Solve -3 + 15 = -r*u for u. -4 Let r be 1/(0 + (-1)/(-6)). Suppose -198 = -38*o - 46. Suppose -2*b + o = 0, -v - 2*b - r = -3*v. Solve -1 + v = -k for k. -4 Let f(n) = -n + 10. Let s be f(9). Suppose 50 = 55*j - 60. Solve v + s = -j for v. -3 Suppose z - 357 = -50*z. Solve 6*x - 5 = z for x. 2 Let l(z) = z**3 + 7*z**2 - 5*z - 4. Let y be l(-7). Let v = y - 27. Solve -v + 8 = -t for t. -4 Suppose 11 + 25 = 3*t. Suppose -3*m = 6 + t. Let u be (-20)/m - 8/(-12). Solve -u = 5*z + 1 for z. -1 Let x(j) = -2*j - 13. Let o be x(-4). Suppose -2*l - 3*r = 1, -l + r = -2*r - 4. Let u be l*0*o/(-15). Solve u = -8*g + 3*g for g. 0 Suppose 141 = 3*m - 2*l, 2*m + 4*l = 108 - 30. Solve -m = -10*q - 45 for q. 0 Let u be ((-102)/8)/((-18)/48). Let i = u - 48. Let y = i + 17. Solve -y*l - 12 = 3 for l. -5 Let d(c) = 10*c + 8. Let g be d(2). Suppose -4*q - a = 4 - 24, 0 = 2*q + 5*a - g. Solve 5*z = q + 1 for z. 1 Let h = 71 - 59. Solve -15*z + h = -3*z for z. 1 Let n = -25 - -29. Let y be (-1)/4 - (-29)/n. Suppose -s = 3*s - 20. Solve y = 3*j - s for j. 4 Let u = -4 - -6. Let f be u - (0 + 1 - 6). Let b(p) = -p**2 + 8*p - 5. Let o be b(f). Solve -v + 4 = o for v. 2 Suppose -5 = 4*d - 4*t + 3, -8 = 2*d - 4*t. Suppose -r + 63*r = 0. Solve r = -d*b + 3*b for b. 0 Suppose 4*t + 60 = 2*i, -5*t = 2*i - 13 - 29. Let n be 136/22 - (-12)/(-66). Suppose -2*x - n = -14. Solve x*u - 6 = -i for u. -5 Let h(d) = d**2 + 7*d + 10. Let r be h(-8). Let t = -6 + r. Let p be -2 - (28/8)/(1/(-2)). Solve p*a - a + t = 0 for a. -3 Let j = 27 + -9. Let q = j - 16. Let x be (-5 - -14)*q/3. Solve 0 = 5*y + 26 - x for y. -4 Let q be 8/6*10/((-10)/(-3)). Suppose 3*d - 54 = -5*i + i, -2*i - q*d = -32. Solve -2*y + 5*y - i = 0 for y. 4 Let q be ((-6)/(-4))/((-4)/8). Suppose 6*j - 25 = j. Let z = q + j. Solve 3*f - 4 = z for f. 2 Suppose 153 = -4*d - 0*c + 5*c, 25 = 5*c. Let p = -30 - d. Solve 0*t + 2 = -p*t for t. -1 Let z = 147 - 140. Solve -z = 2*i + 1 for i. -4 Suppose -5*s - 16 = 3*q, 3*s = 7*s + q + 10. Let g be (1 - (4 + s)) + 3. Solve -j + g = j for j. 1 Let l(w) = w**2 - 6*w - 5. Let z be l(7). Let g = 23 - 15. Suppose 5*n = -s + 2, 0 = z*n + n + 4*s - g. Solve n = 5*k - 23 - 2 for k. 5 Let t(h) = h**3 + 6*h**2 - 9*h - 14. Let q be t(-7). Suppose 5*n - 31 = -q*n - 3*p, 0 = p - 2. Solve -5*s = -n - 5 for s. 2 Suppose 4*c - 23 - 17 = 0. Suppose u = -5, i + c = -4*u - 4. Suppose i*j = 7*j - 3. Solve j*t = 5*t + 8 for t. -4 Let r(q) = -26 - 11*q - 42 + q**2 - 7*q + 54. Let d be r(19). Solve 25 = -0*g + d*g for g. 5 Let j be (-3)/((-9)/(-12)) - -8. Suppose 4*b + 4*w = -j - 12, -20 = 2*b + 5*w. Suppose -5*h + 4*t + 26 = b, -12 = 5*t - 2*t. Solve -10 = 3*n + h for n. -4 Let t(o) = o + 5. Let w be t(-8). Let f be (-8)/(-12)*w/(-2). Let a(y) = y**3 - 3*y**2 + y + 2. Let q be a(2). Solve -4*i - f + 5 = q for i. 1 Let l = -90 + 43. Let b = l - -48. Solve 2*c - 7 = -b for c. 3 Let i = -9 - -14. Suppose 0 = -3*o - 4*s - 1 + 3, i = o - 3*s. Suppose -5*k - 23 = -2*n, -5*k + k = 12. Solve 0*c - o*c = -n for c. 2 Let m be (80/4)/1 + (2 - 6). Solve -m + 1 = 5*k for k. -3 Let b(c) = c + 3. Let w be b(-6). Let g = 2 - w. Solve -12 = g*l + 13 for l. -5 Let h be 5/(-25)*-64 - 8/10. Solve -h = -n - 17 for n. -5 Let h be 2/(-5)*(-10 - 0). Solve h*a + 66 = 46 for a. -5 Let m = 39 - 30. Suppose -11 = -4*b + m. Solve 32 = b*l + 12 for l. 4 Let m(s) = 23*s**2 + 4*s + 1. Let r be m(-1). Let j = r - 16. Solve 0 = c + 3 - j for c. 1 Let c(k) = 16*k - 204. Let g be c(13). Solve b - g*b = 0 for b. 0 Let i = 189 + -177. Solve -i*l = -10*l - 6 for l. 3 Suppose -4*c + 60 = -24. Solve -4*m + c - 9 = 0 for m. 3 Let g = -41 + 10. Let f = g + 33. Solve 3*k + 20 = -f*k for k. -4 Suppose 138 = 5*h + 3*u, 4*h - 3*u - 105 + 0 = 0. Suppose 0 = 6*m + 3*m - h. Solve 5*r + 23 - m = 0 for r. -4 Let c be (-1160)/(-87) + 10/6. Solve -6*b = -b + c for b. -3 Let b be 44/8 - 3/2. Suppose 13 = 5*d + 3. Let q be ((-3 - (d - 2)) + 3)/2. Solve q*p - b = -p for p. 4 Let b(h) = 18*h. Let y be b(1). Suppose -y = -3*k + 5*k. Let n = 15 + k. Solve n = -d - 2*d for d. -2 Suppose -557*z = -556*z - 7. Let m be (0/(-2))/((-6)/(-3)). Suppose 4*u - 3 = -t - m*t, 4*t + u - 12 = 0. Solve 4 = t*o + z for o. -1 Suppose 78*p - 81*p + 30 = 0. Solve 0 = -7*v + 5*v + p for v. 5 Let c be 6/7*63/18. Suppose -5*s - 3 = -x - 3*s, c*s - 3 = 0. Solve 0 = -3*b + x*b + 4 for b. -2 Suppose 568*n - 1452 = 546*n. Solve 0 = 16*j + 2 - n for j. 4 Suppose -p + 756 = 8*p. Let y = p + -82. Suppose 0 = l - 4*l + 9. Solve s = y*s + l for s. -3 Let z be ((-6)/10)/((-4)/20). Suppose d + z*f - 27 = -2*d, 3*d - 4*f = -1. Solve -d*u + 0 - 15 = 0 for u. -3 Let p = 216 + -195. Solve 50 = p*g - 11*g for g. 5 Suppose 3*f = 3*q - 30, -4*f = -7*f + 6. Let g = 26 - q. Let y = g - 11. Solve -z + 2*z = y for z.
{ "pile_set_name": "DM Mathematics" }
se 15, what is -57 + -5? -5c In base 3, what is 100111210 + 12? 100111222 In base 8, what is -1 - 0? -1 In base 7, what is -1042 - 0? -1042 In base 4, what is 121 + -11? 110 In base 5, what is -3 - 114332? -114340 In base 14, what is -2 + 12d? 12b In base 9, what is -3470 - 0? -3470 In base 4, what is -20013 + -201? -20220 In base 12, what is 43 - -34? 77 In base 4, what is 320 + 11? 331 In base 14, what is 95 + 41? d6 In base 16, what is -e + 1? -d In base 8, what is -14 + 2511? 2475 In base 15, what is 1 + 4d? 4e In base 15, what is b4 + 4? b8 In base 15, what is 14 - 25? -11 In base 3, what is 12 - 110120? -110101 In base 8, what is 215 - -113? 330 In base 15, what is -50d + -2? -510 In base 6, what is -41 - -12? -25 In base 10, what is 83 + 1? 84 In base 11, what is 13 + -51? -39 In base 16, what is -3 + -50? -53 In base 2, what is 0 - 1111000? -1111000 In base 9, what is -180 - -4? -175 In base 15, what is 7c - 12? 6a In base 8, what is -3 + 33? 30 In base 16, what is 3 - 24? -21 In base 3, what is -1 - 1211? -1212 In base 7, what is -1 - -132? 131 In base 6, what is 3402 - -3? 3405 In base 9, what is 2 + -10? -7 In base 13, what is 16 - 1? 15 In base 7, what is 150 - 2? 145 In base 2, what is -1010 + 10110000? 10100110 In base 12, what is -b624 + 0? -b624 In base 5, what is -3 + 233? 230 In base 8, what is 5 + 317? 324 In base 16, what is -2ae4 + -5? -2ae9 In base 3, what is 11011 + -1? 11010 In base 10, what is 111 - -35? 146 In base 9, what is -142 + -30? -172 In base 14, what is -1 + 4cc? 4cb In base 7, what is -122 + 14? -105 In base 10, what is 1 + 75? 76 In base 2, what is -100 - 1001101? -1010001 In base 7, what is 3 - 3? 0 In base 13, what is 4 + 133? 137 In base 6, what is -4 - 400? -404 In base 8, what is -6352 - -4? -6346 In base 12, what is 1190 - -4? 1194 In base 8, what is 237 - -3? 242 In base 12, what is -2 - 3a4? -3a6 In base 11, what is -385 - 0? -385 In base 2, what is -111011 + -10011101? -11011000 In base 8, what is 16212 + 1? 16213 In base 6, what is 50 + 340? 430 In base 9, what is -5 - -88? 83 In base 11, what is -367 - 4? -370 In base 4, what is -11 + 112023? 112012 In base 6, what is 2 - 22? -20 In base 6, what is -12 + -15? -31 In base 15, what is -81 + -1? -82 In base 2, what is -1000 - 10? -1010 In base 3, what is -2110 + 2120? 10 In base 7, what is 30 - 526? -466 In base 8, what is 24 + -14? 10 In base 2, what is -1001111 + 1000? -1000111 In base 11, what is 23 - 10a5? -1082 In base 12, what is 0 - -70? 70 In base 13, what is 10a - -1? 10b In base 7, what is -1 - -125? 124 In base 9, what is -6 + 2241? 2234 In base 15, what is -288 + -e? -297 In base 3, what is 1 - -12? 20 In base 6, what is 133 + 134? 311 In base 15, what is a94 + 5? a99 In base 15, what is de47 - -3? de4a In base 8, what is -4052 + -2? -4054 In base 10, what is -222 + 13? -209 In base 10, what is -1 + 73? 72 In base 13, what is -3 - 2c5? -2c8 In base 7, what is 2233 - 13? 2220 In base 5, what is 100302 + 1? 100303 In base 5, what is -43 + 34? -4 In base 7, what is -2201 + -5? -2206 In base 9, what is -24 - -2? -22 In base 9, what is 5 - 762? -756 In base 15, what is 597 + 3? 59a In base 13, what is 238 + -2? 236 In base 8, what is 52 - 21? 31 In base 2, what is 10 - -111101? 111111 In base 5, what is -212 + 12? -200 In base 13, what is -4238 - 4? -423c In base 3, what is -1 + -100210? -100211 In base 10, what is -22 + 563? 541 In base 7, what is -12 + 36? 24 In base 14, what is -2d - -a7? 78 In base 11, what is -113 + 1? -112 In base 3, what is -11020021 + -1? -11020022 In base 10, what is -1 + -540? -541 In base 4, what is 132022 - -1? 132023 In base 5, what is -141 - -42? -44 In base 11, what is -3 + 71? 69 In base 12, what is 8 + -1? 7 In base 15, what is 1 + -9? -8 In base 4, what is 22101 + -11? 22030 In base 12, what is -b - -579? 56a In base 3, what is 10122001 - 1? 10122000 In base 13, what is c + 15? 24 In base 2, what is 0 - 1100010? -1100010 In base 6, what is 5 + -110? -101 In base 10, what is 63 - -90? 153 In base 10, what is -3 - -71? 68 In base 5, what is -30 - 11212? -11242 In base 4, what is 232 - -200? 1032 In base 9, what is -643 - -4? -638 In base 11, what is -3 + -516? -519 In base 2, what is -10110 + 100111? 10001 In base 15, what is 2 + -35? -33 In base 2, what is 100 + -10111? -10011 In base 3, what is 10111 + -120? 2221 In base 7, what is -5 - 11? -16 In base 6, what is 4 + -5? -1 In base 11, what is -5 + -248? -252 In base 8, what is 5 - 251? -244 In base 13, what is 12 - -7? 19 In base 4, what is 232 - 1020? -122 In base 8, what is 3 - 704? -701 In base 3, what is 2202120 + -1? 2202112 In base 5, what is -4 + -2312? -2321 In base 10, what is -2 - -52? 50 In base 11, what is -1 - 308? -309 In base 6, what is -3 + 1502? 1455 In base 14, what is 0 + 5c2? 5c2 In base 13, what is -22 + 71? 4c In base 14, what is -bc + 18? -a4 In base 4, what is 22 - 123113? -123031 In base 5, what is -10 - -1320? 1310 In base 4, what is -210 + 13? -131 In base 10, what is -5 + 92? 87 In base 8, what is -45 - -17? -26 In base 7, what is 606 - -1? 610 In base 6, what is 14 + 133? 151 In base 6, what is 14442 + 10? 14452 In base 12, what is -2 + -2b6? -2b8 In base 4, what is 10002 - -111? 10113 In base 15, what is 50e - 0? 50e In base 11, what is -6351 - 1? -6352 In base 16, what is 7b0 - 2? 7ae In base 8, what is 1 - -210? 211 In base 14, what is 5 + -1203? -11dc In base 16, what is 889 + 0? 889 In base 6, what is -33 - -5? -24 In base 13, what is -1 + 26? 25 In base 13, what is 134 - 54? b0 In base 6, what is 1314 + 4? 1322 In base 5, what is 204 + -20? 134 In base 2, what is 100 - -1110100000? 1110100100 In base 9, what is -61131 + -1? -61132 In base 2, what is -10 - -11111111? 11111101 In base 11, what is -1a - 19? -38 In base 4, what is 11220 - -30? 11310 In base 7, what is 0 + 412? 412 In base 13, what is 51 + a? 5b In base 13, what is -1 - -44? 43 In base 11, what is -5a + 2? -58 In base 13, what is -99 + -2a? -c6 In base 4, what is -10 + -21002? -21012 In base 3, what is -11 - 2102201? -2102212 In base 5, what is -202 + -4? -211 In base 15, what is 5 - 461? -45b In base 6, what is -313 - 1? -314 In base 7, what is 56 - -31? 120 In base 13, what is 21 - -1c? 40 In base 3, what is 11 + -100? -12 In base 6, what is -54 - 30? -124 In base 14, what is 5a - 56? 4 In base 14, what is 5 - a5? -a0 In base 4, what is -11 - 3001? -3012 In base 8, what is 17727 + 2? 17731 In base 9, what is -217 - -6? -211 In base 13, what is 1 - -78? 79 In base 10, what is 365 - -4? 369 In base 14, what is -435 + -d? -444 In base 8, what is 216 - -1? 217 In base 8, what is -3 - -62? 57 In base 16, what is 3d + 70? ad In base 2, what is -1001011 - 101? -1010000 In base 15, what is -28 + -12? -3a In base 6, what is -100 - 114? -214 In base 15, what is 20 + 19? 39 In base 9, what is 3 - 617? -614 In base 16, what is -ca + e? -bc In base 3, what is -12 + -22222? -100011 In base 8, what is -275 + 4? -271 In base 7, what is 4 + 21? 25 In base 3, what is -11000221 + -10? -11001001 In base 4, what is -23331 + -22? -30013 In base 8, what is 147 - -7? 156 In base 4, what is -103231 + 11? -103220 In base 9, what is 5 - -1081? 1086 In base 14, what is -9 + 5? -4 In base 9, what is 33 + 113? 146 In base 6, what is -125045 + -2? -125051 In base 9, what is 1 + -36? -35 In base 3, what is -21220 - -212? -21001 In base 6, what is -10 + -54? -104 In base 8, what is 2 + -50? -46 In base 11, what is 4 + -367? -363 In base 6, what is 2232 - 3? 2225 In base 9, what is -4 + -408? -413 In base 11, what is -655 + 5? -650 In base 5, what is 1 + -2041? -2040 In base 14, what is -4 - -528? 524 In base 3, what is -1022 + -20112? -21211 In base 10, what is -39 - 80? -119 In base 4, what is 3 - -1122? 1131 In base 7, what is -412 - 2? -414 In base 4, what is -2 - 133323? -133331 In base 14, what is 176 + 5c? 1d4 In base 10, what is 592 + -3? 589 In base 4, what is 10 + 23331? 30001 In base 6, what is 2 - 341? -335 In base 3, what is 0 + 2010? 2010 In base 9, what is -754 - -2? -752 In base 4, what is 11 - -3131? 3202 In base 11, what is -2 - -43a3? 43a1 In base 15, what is -2 + -288? -28a In base 13, what is -4 - -93? 8c In base 11, what is 3 - 37? -34 In base 8, what is -5243 - -3?
{ "pile_set_name": "DM Mathematics" }
(-24)/14)/((-110)/77). 6/5 Calculate (2/(-4))/(13/78). -3 ((-51)/15 - (0 - 4))/(-1) -3/5 What is the value of 200/30*30/25? 8 10/(-1)*3/6 -5 Evaluate (4/6)/(60/18)*-2. -2/5 What is 4 - ((-762)/(-264) - 3/(-4))? 4/11 What is the value of (-7)/14*(1 - -1)? -1 What is the value of ((-10)/4)/(-1)*(-14)/140? -1/4 What is 5/(30/12) - 0? 2 What is the value of -9 + (-16)/40*-10? -5 Calculate (-9)/(-24) + (-243)/72. -3 What is ((-24)/108)/((-4)/6)? 1/3 What is the value of (18/(-12))/(4/(-2))? 3/4 Evaluate 4 - (-4)/(-1) - (-1 + -3). 4 (1 + -1)/(16 - (26 + -12)) 0 (-14)/(-72)*3 + 147/196 4/3 Calculate 48/(-112) + 2*15/(-28). -3/2 What is the value of (-407)/110 - (-3)/(-10)? -4 What is (396/48 + -6)*(-2)/3? -3/2 What is -6*(-27)/(-48) - -3? -3/8 Evaluate 833/238 + -1*5. -3/2 Calculate (2 + (-64)/33)/((-20)/(-60)). 2/11 Calculate (18/(-24) - 3/(-4)) + -1. -1 What is the value of (2/115)/(7/(-35))? -2/23 What is the value of ((-15)/(-16))/((-258)/(-344))? 5/4 What is (-18)/(8 + -2) + 18/5? 3/5 What is the value of (-54)/(-6) - (-100)/(-8)? -7/2 5*(-6)/75*(-120)/(-6) -8 What is (-3)/(-6)*-5*112/(-350)? 4/5 What is (-574)/410 - (8/10)/(-2)? -1 Evaluate (-98)/(-56)*(-2 - 2). -7 What is (2/(-5))/(15/75)? -2 What is the value of 3/((-6)/5) + 30/20? -1 What is the value of ((-2)/4)/(5/(-6))? 3/5 27/81*9/15 1/5 -6 + (0 + -3 - 14/(-2)) -2 (2674/140 - 13) + (-7 - -1) 1/10 What is the value of 3*((-208)/39 + (-15)/(-3))? -1 What is the value of 11/(-22) - 5/2? -3 Calculate (-3)/(-12)*1 + 561/(-68). -8 ((-91)/(-52))/7*12/(-1) -3 (5 + -10)/5*0 0 -3*(-12)/9 - -1 5 Calculate 1 - (39/(-12) + 3). 5/4 -4*2/(-216)*(-4 - -7) 1/9 What is the value of 250/(-70) - 1*(-6 + 2)? 3/7 What is (25/30)/(7/42)? 5 Evaluate 7/(-1) + -21 + 28. 0 Evaluate 116/20 - 2 - 4. -1/5 Calculate 1 + (79/(-63) - 54/(-378)). -1/9 What is the value of (-891)/132 - 3/24*-6? -6 What is 855/(-117) + (-8)/(-26)? -7 (-2)/(-4)*((-40)/12 - -4) 1/3 What is (-480)/352*(4/(-10) - 0)? 6/11 Evaluate (75/(-10) - -7)*(0 - 6). 3 Evaluate (-74)/36 - 31/(-558). -2 What is 6/(54/21) + (-4)/1? -5/3 Evaluate (-6)/(-10) - (-143)/220. 5/4 136/48 - 200/75 1/6 What is the value of (4*3/(-72))/((-1)/(-3))? -1/2 What is 29/20 + -5*3/75? 5/4 Calculate (135/10)/3 - (-6)/12. 5 Calculate (-124)/(-12) - 8 - 2/(-3). 3 What is the value of 36/(-24) + 17/10? 1/5 Calculate 8/10*-1*-5. 4 Evaluate ((-35)/6)/1 + (10 - 4). 1/6 Evaluate (-2)/5 - (264/10)/(-6). 4 What is 4*(-30)/(-4)*2/(-12)? -5 What is the value of (-9)/(-6)*6 + -12? -3 Evaluate 10 + -6 + -2 - -1. 3 4/((-84)/(-117)) - 4/7 5 Evaluate (8/(-24))/((-1)/3). 1 Calculate ((-4)/(-6))/(-2)*(4 + -1). -1 Calculate 3/(-8)*408/918. -1/6 (-7 + 7)/(0 - -2) 0 What is the value of 5 + 0 + 5 + -2 + -4? 4 Evaluate (-20)/(-30) - (-3 - 33/(-9)). 0 What is (1 - 6/4)/((-955)/382)? 1/5 ((-2)/(-7) + (-92)/28)*1 -3 Evaluate (-2)/((-6)/1) - 91/(-78). 3/2 What is 0/(3/(-2)*52/39)? 0 (24/18)/((-40)/(-15)) 1/2 ((-25)/(-72) - (-9)/(-72))*-2 -4/9 Evaluate 3 + 33/15 + (-5)/25. 5 What is (-5 + 3)*(-3)/(-30)? -1/5 (-7*1/(-21))/((-1)/21) -7 What is the value of (-1624)/(-174) + (-10 - -1)? 1/3 Evaluate 4 + ((-660)/(-32))/(-5). -1/8 (-15)/6 - (2 - 4) -1/2 Evaluate 4/(-12)*((-175)/(-14) - 8). -3/2 What is the value of (-1 + -1)/(80/(-24))? 3/5 Evaluate (-2 + -3)/(3 - 4). 5 Calculate 1/(-1) + -2*(-15)/18. 2/3 Calculate 3 + 1/(4/(-20)). -2 Calculate (-4)/(4/3)*(-8)/6. 4 What is 3/(-6)*4/(-6)? 1/3 162/(-891) + (-2)/(-66)*-16 -2/3 Calculate (-1)/(-2)*(-13 - -17). 2 What is the value of ((-2)/6)/((-1)/12)? 4 1810/(-450) + 3 - (-8)/10 -2/9 8*((-2)/10)/((-22)/55) 4 Evaluate (-1 - 21/(-18)) + (-21)/14. -4/3 (-1*6)/(-20*7/28) 6/5 What is the value of ((-3)/(-48)*6)/((-10)/40)? -3/2 What is the value of (6/(108/45))/(-2)? -5/4 What is the value of (-2)/(-3)*5/(90/(-27))? -1 Calculate 1*(-2 + 2 + (-1 - 0)). -1 (-2 + 10 - 9)/(2/(-10)) 5 What is the value of -3*((-21)/7 - (-14)/3)? -5 Evaluate (3 - -1) + -7 + 12/3. 1 What is the value of (((-152)/96)/(-19))/((-6)/(-9))? 1/8 Calculate (2 - 5) + 2 + -2. -3 (3/6)/(5/40) 4 0 + (-1)/(-2) + 68/(-104) -2/13 What is the value of (-6 - -7)/((-7)/28)? -4 Calculate (4/30)/(-1) - (-122)/15. 8 What is (89 - 90) + (1 - 5)? -5 Calculate 70/160*8*(-10)/(-7). 5 -3 + (-125)/(-45) + 0/(-1) -2/9 What is (-1 - -5)*4/(-40)? -2/5 What is the value of -2*(21/6 - 4)? 1 Calculate 8*((-35)/(-10) - 4). -4 What is the value of (-12)/144*0 + -3? -3 What is the value of 156/(-105) - -2 - (-120)/(-150)? -2/7 Evaluate 10 + -9 - (-22)/(-16). -3/8 Evaluate -3 - -4 - -1 - -3. 5 Evaluate 3/(-12) - ((-33)/(-12) + -3). 0 Evaluate 4/(-6) + 21/28. 1/12 What is (-612)/(-765) + 6/(-5)? -2/5 ((-4)/108)/(12/(-144)) 4/9 (-18)/(-27)*(-27)/(-6) 3 What is the value of 9/(135/(-20)) + 1? -1/3 Evaluate (-1)/((4 + (-40)/12)/2). -3 (-4)/6 - (-33)/9 3 What is the value of (-2 - -1) + -11 + 12? 0 Evaluate ((-354)/472)/(30/16). -2/5 What is (2 - 90/63)/((-20)/(-14))? 2/5 What is the value of (-1)/8 + (9300/96)/31? 3 What is 65/(-39) + (-158)/(-102)? -2/17 What is ((95/75)/(-19))/(6/(-20))? 2/9 What is 2/(-38)*6*(-5)/15? 2/19 Evaluate 12*((-7)/105)/(1/(-5)). 4 What is the value of (-46)/92*14*1? -7 Calculate 48/(-30)*(-5 + 2 - -8). -8 What is the value of (-55)/33*6*(-2)/(-4)? -5 What is the value of -5 - -4 - (-3)/(-9)*0? -1 9/(9/4) + -6 -2 (-1 - (-5)/((-90)/(-24)))/1 1/3 Calculate (-8)/320 - (-2)/5. 3/8 Evaluate (14/63*3)/(20/(-6)). -1/5 What is (-63)/14 + 2/(-4)? -5 Evaluate (5/((-850)/4))/((-41)/205). 2/17 What is the value of 14 - 15 - 12/(-28)? -4/7 What is the value of (10 + -7 - 5)*1? -2 What is the value of 1 - 30/(-20)*(-6)/7? -2/7 What is 1 + 0 + (1 - -11 - 14)? -1 What is 5*((-142)/35 + 4)? -2/7 Evaluate (8 + 32/(-4))/(-3 - -5). 0 What is the value of (-3)/4*(68/(-21) - -4)? -4/7 Calculate 0 - ((-6)/(-4))/((-15)/20). 2 What is the value of 5*5/(-210) - 2/12? -2/7 Evaluate (-6)/(-18) + (-64)/12 + 2. -3 Evaluate -2*2/4*-1. 1 What is (-2)/(15/(-25) + 1)? -5 What is 9/12*((-40)/12 + 3)? -1/4 (-3604)/(-265) - 2*7 -2/5 Calculate (-3)/10*(-490)/105. 7/5 Evaluate (18/126)/(-1 + 2/4). -2/7 What is (-1 - 185/(-175))/(8/(-120))? -6/7 What is (-8)/126 + 12/42? 2/9 What is 6/5 - (-47 - -49)? -4/5 34/16 + (-5 - 15 - -18) 1/8 What is (-2)/4*(-5 + -3)? 4 What is the value of (-1)/8*-2 - (-575)/100? 6 What is (-3 - -7)*9/12? 3 Calculate ((-192)/104)/(-12)*39. 6 ((-21)/63)/(4/48) -4 What is the value of (-22)/55 + (-18)/(-45)? 0 Calculate (-5 + 9 - 11) + 2. -5 What is the value of (-2)/(-6) + (-154)/66? -2 Evaluate (12/7)/((-108)/378). -6 (12/8)/((-36)/8 + 4) -3 (-36)/(-90) - 12/(-20) 1 Evaluate ((-15)/(-340))/((-36)/96). -2/17 2 - 3*((-10)/(-3) - 2) -2 Evaluate 0 + 2 - (-13 + 9 + -2). 8 10/(-2)*(11 - 15970/1450) 2/29 Calculate (-1 - 0)*22/187. -2/17 Calculate -1 - -1 - (2 - 17/7). 3/7 21/(-2)*18/27 - -4 -3 What is the value of (-580)/(-812) - (18/(-21))/3? 1 What is the value of (-241)/27 - -9 - (-728)/(-4725)? -2/25 Calculate -104 + 107 + (1 - 2) + -1. 1 Evaluate 13/(-2) + (-189)/(-126). -5 Calculate 4/(-4 - -4 - -1). 4 Evaluate 4 - 9 - 37/(-7). 2/7 What is the value of (5 - 22/4) + 1? 1/2 What is 28/4 - (-3 - 64/(-8))? 2 Calculate 10/18*591/(-394). -5/6 12/(-21) + (-21)/49 -1 Evaluate (-7)/((-14)/4) + -8. -6 Evaluate ((-4)/12)/((-5)/(-15)). -1 Evaluate (-2)/(2/(-12)*3). 4 Evaluate (-1)/(2/8) + 1. -3 1*(-2)/(-8)*(5 - 1) 1 Evaluate (1/(-9))/(3/18). -2/3 Evaluate (4/6)/(56/(-24)). -2/7 0/34 + 1/6 1/6 (-3)/(135/(-5))*1 1/9 Evaluate 24/120 + -2*10/(-275). 3/11 Evaluate ((-1)/(-2)*3)/(12/(-48)). -6 (-84)/(-147)*((-54)/20 - -2) -2/5 Evaluate -4 + 2 + (-36)/(-20). -1/5 Evaluate (1368/(-1197))/(12/(-14)). 4/3 Calculate 37/44 + (-3)/4. 1/11 What is (1 - (7 + 0)) + (-90)/(-14)? 3/7 Calculate (3456/90)/16*10/16. 3/2 Calculate (2 + -1)*((-21)/(-15))/7. 1/5 Evaluate 42/(-72) + 2/8. -1/3 What is the value of ((-14)/42)/(3/18)? -2 Calculate 1*(69/36)/23*4. 1/3 What is (-60)/(-300) - (-9)/5? 2 Evaluate ((-1 + 26)/5)/(-4). -5/4 Calculate 2/9 + (28870/1710 - 17). 2/19 Evaluate -6*(-28)/21*3/(-12). -2 What is the value of 1/(-3) - 4/(-84)? -2/7 What is 8 + (3 - -5 - 22)? -6 What is the value of (-484)/(-110) + -1*5? -3/5 -10*7/(-42)*9/(-6) -5/2 What is 184/690*6*1? 8/5 Calculate ((-4)/1 - 0) + 5 + 2. 3 Calculate (-6)/(-20) - 767/(-5310). 4/9 What
{ "pile_set_name": "DM Mathematics" }
t h be (-2 + (-10)/(-4))*z. Factor 0 + 0*m - 3/4*m**5 + 0*m**2 + h*m**3 + 1/4*m**4. -m**3*(m - 1)*(3*m + 2)/4 Let d(h) be the first derivative of h**4/12 + 10*h**3/9 + 25*h**2/6 - 83. Factor d(t). t*(t + 5)**2/3 Let z(b) be the third derivative of b**5/60 - b**4/4 + b**3/3 - b**2. Let q be z(6). Find h, given that 6*h**2 - h + 4*h**4 - 10*h**4 + 3*h**5 - q*h = 0. -1, 0, 1 Let u be (-7 - (-6 + -1))/(-2). Let p(d) be the first derivative of 0*d**2 + 1/4*d - 1/6*d**3 + 1/20*d**5 + u*d**4 + 2. Factor p(g). (g - 1)**2*(g + 1)**2/4 Let m(p) be the third derivative of -p**8/171360 - p**7/14280 + 17*p**5/60 - 16*p**2. Let y(w) be the third derivative of m(w). Factor y(a). -2*a*(a + 3)/17 Let j be ((-36)/(-48))/((-1)/(-72)). What is y in -33*y**2 - 20 + 8*y**2 + j*y + 6*y = 0? 2/5, 2 Suppose 18 = 6*f - 6. Suppose 98 = 30*u + 8. Factor 0 + 0*o - 3/5*o**5 - 6/5*o**f + 0*o**2 + 0*o**u. -3*o**4*(o + 2)/5 Let q = -2743/24 + 925/8. Determine l, given that -4/3*l**2 + 4/3 + 4/3*l - q*l**3 = 0. -1, 1 Factor 14/5 - 1/5*l**4 - 23/5*l + 7/5*l**3 + 3/5*l**2. -(l - 7)*(l - 1)**2*(l + 2)/5 Suppose -5*c - 78 + 68 = x, -2*x + 3*c = -6. Let v(t) be the second derivative of 1/8*t**4 + 10*t + 1/60*t**6 - 1/12*t**3 - 3/40*t**5 + x + 0*t**2. Factor v(m). m*(m - 1)**3/2 Factor -4/17 - 6/17*r - 2/17*r**2. -2*(r + 1)*(r + 2)/17 Let u be (-297)/(-110) - (-6)/20. Factor 4/5*m**u - 12/5*m**2 + 0*m + 16/5. 4*(m - 2)**2*(m + 1)/5 Let p = -49 + 69. Suppose 0*b + p*b**3 + 4*b**4 - 16*b - 6*b**5 - 4 + 2*b = 0. What is b? -1, -1/3, 1, 2 Factor 0*y - 1/3*y**2 - 3*y**3 + 0 - 8*y**4 - 16/3*y**5. -y**2*(y + 1)*(4*y + 1)**2/3 Let s be (-4 - 9) + 4 - -9. Let g(r) be the second derivative of 4*r + 1/6*r**4 + 1/45*r**6 + 0 - 1/10*r**5 + s*r**2 - 1/9*r**3. Factor g(c). 2*c*(c - 1)**3/3 Let t(g) = -g**3 - 4*g**2 - 2*g. Let f be t(-2). Let a be (f/24)/((-4)/16). Determine o, given that 2/3*o**2 - 2/9*o**3 - a*o + 2/9 = 0. 1 Let i = -76 + 79. Determine u so that -30*u - 24*u - 3*u - 7*u + 28*u**2 + 48 - 4*u**i = 0. 2, 3 Let j(o) be the second derivative of 0 + 33*o - 1/90*o**6 + 0*o**4 + 1/9*o**3 - 1/30*o**5 + 1/6*o**2. Determine d, given that j(d) = 0. -1, 1 Let o(u) = 5*u + 6. Let s be o(-5). Let g = -16 - s. Determine p so that -4*p - 19 + 13*p - g*p**2 + 13 = 0. 1, 2 Let n(v) be the first derivative of 5*v**6/6 - 11*v**5 + 85*v**4/2 - 230*v**3/3 + 145*v**2/2 - 35*v - 52. Determine l so that n(l) = 0. 1, 7 Let n(z) be the second derivative of 0 - 1/2*z**4 + 0*z**3 + 0*z**2 + 6*z - 3/20*z**5. Find t, given that n(t) = 0. -2, 0 Let p(z) = -z + 16. Let l be p(11). Suppose 5*s + 5*r + 25 = 0, 4*s + s - 25 = l*r. Let s*v + 0*v**2 + 0 - 1/3*v**4 + 1/3*v**3 = 0. What is v? 0, 1 Let p(l) = -100*l - 114. Let m(k) = -k**2 + 6*k. Let g(o) = -4*m(o) + 2*p(o). Solve g(y) = 0 for y. -1, 57 Let w be (-2 - 20/(-8))/3. Determine q so that 1/6 - 3/2*q**2 - w*q - 2/3*q**4 - 11/6*q**3 = 0. -1, 1/4 Let r(n) be the first derivative of -4*n**3 - 9*n**2 - 8*n - 1/2*n**4 - 28. Factor r(a). -2*(a + 1)**2*(a + 4) Let w(n) be the third derivative of n**5/30 + n**4/24 + n**3/3 + 48*n**2. Let m be w(-1). Solve -9/4*t + m*t**2 + 1/2 - 5/4*t**3 = 0 for t. 2/5, 1 Suppose -40*d = -36*d - 204. Let l = 53 - d. Factor -2/9*f**l - 2 - 4/3*f. -2*(f + 3)**2/9 Let d = -1205/22 - -11417/198. Factor -2/9*v + 0 - d*v**2. -2*v*(13*v + 1)/9 Let h = 164540/9 - 18282. Factor -h*d**3 + 0 + 2/9*d**4 + 2/9*d - 2/9*d**2. 2*d*(d - 1)**2*(d + 1)/9 Let d(w) be the first derivative of 2*w**3/9 - 17*w**2 - 212*w/3 + 250. Factor d(x). 2*(x - 53)*(x + 2)/3 Suppose 0 = 24*r - 23*r - 54. Solve -s**3 + 19*s**3 + r*s + 117*s**2 + 27*s**4 + 69*s**3 + 3*s**5 = 0 for s. -3, -2, -1, 0 Let b(x) be the third derivative of -x**5/90 + 5*x**4/108 + 2*x**3/27 - 42*x**2 - 6*x. Suppose b(o) = 0. What is o? -1/3, 2 Let l be 8/(-14) - (-1988)/1078. Let x = l - 31/33. Factor 0 + 0*p**2 - 1/3*p + x*p**3. p*(p - 1)*(p + 1)/3 Suppose -3*a - 5*w + 13 = 0, -4*w + 2*w = 4*a - 22. Factor -7*z**3 + 3*z**2 + a*z - 3*z**3 - 3 + 4*z**3. -3*(z - 1)*(z + 1)*(2*z - 1) Solve 0 - 14/3*x**3 - 49/3*x**2 - 1/3*x**4 + 0*x = 0. -7, 0 Let i = -91 - -85. Let y be ((-3)/4)/((-36)/(-64)*i). Suppose -y*x**3 - 4/9*x**2 + 4/9 + 2/9*x = 0. Calculate x. -2, -1, 1 Let a = 7 - 5. Factor 22*y - y**a + 0*y**2 - 20 - 2*y - 4*y**2. -5*(y - 2)**2 Factor 9/4*w - 3/2*w**3 + 9/4*w**2 - 3/2. -3*(w - 2)*(w + 1)*(2*w - 1)/4 Let m(j) be the second derivative of -12/5*j**2 - 4/15*j**3 - 1/90*j**4 + 0 - 23*j. Determine s, given that m(s) = 0. -6 Let u(b) = -7*b**2 + 3*b + 7. Let y(k) = -5*k**2 + 4*k + 7. Let d(h) = 2*u(h) - 3*y(h). What is s in d(s) = 0? -1, 7 Let h = -1561/3 - -3125/6. Let -1/2*u - h*u**2 + 0 = 0. Calculate u. -1, 0 Let q(g) be the third derivative of -g**5/720 + 55*g**4/96 - 41*g**3/18 - 370*g**2. Factor q(z). -(z - 164)*(z - 1)/12 Let h(u) be the first derivative of -31 + 0*u**2 + 0*u + 1/3*u**3 - 1/4*u**4. Factor h(c). -c**2*(c - 1) Let w(j) be the first derivative of 2*j**5/85 + 11*j**4/34 + 28*j**3/17 + 4*j**2 + 80*j/17 - 316. Factor w(u). 2*(u + 2)**3*(u + 5)/17 Let y(v) be the third derivative of v**6/18 + 3*v**5/8 + 5*v**4/12 - 2*v**3 + 9*v**2. Let b(f) be the first derivative of y(f). Factor b(u). 5*(u + 2)*(4*u + 1) Let z(r) be the second derivative of 0*r**2 + 0 + 1/15*r**3 - 1/30*r**4 - 10*r. Factor z(d). -2*d*(d - 1)/5 Suppose j + 2*j = 6. Let h be (j*-1)/(2 - 3). What is y in -3*y - 3*y**2 + 4*y**h + 2*y**2 = 0? 0, 1 Let l be 168/77 + (-5 - -5). Factor -2/11*y**2 - l*y + 6/11*y**3 + 8/11. 2*(y - 2)*(y + 2)*(3*y - 1)/11 Find z such that -8*z**2 + 7*z - 26*z**3 + 20*z**3 + 0*z + 7*z**3 = 0. 0, 1, 7 Let v be (-2867)/2961 + (-20)/(-18). What is n in 0*n**2 + 0 - v*n**3 + 4/7*n = 0? -2, 0, 2 Let j(d) = 4*d + 4. Let u be j(6). Let y(q) = 8*q**2 - 5*q + 4. Let m(a) = -a**2. Let o(k) = u*m(k) + 4*y(k). Find t, given that o(t) = 0. 1, 4 Let j(l) = l + 1. Let c = 4 + 0. Let g(m) = m**2 - m + 7. Let i(w) = c*g(w) - 12*j(w). Factor i(u). 4*(u - 2)**2 Let j(m) be the first derivative of -2*m**3/57 - 2*m**2/19 + 30*m/19 - 56. What is q in j(q) = 0? -5, 3 Let w(x) be the second derivative of x**5/160 + 25*x**4/96 - 13*x**3/24 + 259*x. Determine f, given that w(f) = 0. -26, 0, 1 Let c(q) = 16*q + 28. Let v be c(-2). Let a be v/6 + (-96)/(-90). Factor -a*f + 4/5 - 2/5*f**2. -2*(f - 1)*(f + 2)/5 Let t(z) = -z**2 - z. Suppose f + 4 - 3 = 0. Let p(w) = -2*w - 2*w**3 + 13 - 2*w**4 - 31 + 22 - 9*w**2 + 3*w**2. Let q(d) = f*p(d) + 12*t(d). Factor q(r). 2*(r - 2)*(r + 1)**3 Let o(q) be the third derivative of q**6/540 - 5*q**5/54 - 13*q**4/54 + 120*q**2 + 2. Factor o(x). 2*x*(x - 26)*(x + 1)/9 Determine q so that -255*q**3 + 5043088 - 5043088 - 5*q**4 - 250*q**2 = 0. -50, -1, 0 Suppose -1301*m = -1303*m + r - 2, 3*r = 6. Factor 3/4*s**4 + 0*s + 1/2*s**3 + 1/4*s**5 + 0 + m*s**2. s**3*(s + 1)*(s + 2)/4 Let v(x) be the second derivative of 0 + 4*x - 1/2*x**5 - 5/6*x**4 - 1/2*x**2 - 1/42*x**7 - 1/6*x**6 - 5/6*x**3. Factor v(t). -(t + 1)**5 What is p in -13/3*p**2 + 115/6*p**3 + 0 + 0*p - 43/6*p**4 - 2/3*p**5 = 0? -13, 0, 1/4, 2 Let v(a) = a**3 + 17*a**2 - a - 15. Let h be v(-17). Factor -2*y**3 + 108*y**4 + 6*y**3 - h*y**2 - 110*y**4. -2*y**2*(y - 1)**2 Let a(b) = 16*b**2 - 24*b - 33. Let g be (-18)/(-12) - (-15)/(-2). Let u(p) = -2*p**2 + 3*p + 4. Let s(w) = g*a(w) - 51*u(w). Find z, given that s(z) = 0. -1/2, 2 Let y(v) be the third derivative of -1/60*v**8 - 1/25*v**6 + 0*v**3 + 27*v**2 + 0*v**5 + 0*v + 0 + 0*v**4 + 46/525*v**7. Suppose y(b) = 0. Calculate b. 0, 2/7, 3 Let k = -3705 - -3705. Factor k + 2*s + 2*s**2 + 1/2*s**3. s*(s + 2)**2/2 Suppose k + 10 = 3*z - 0*z, 0 = 4*k + z - 12. Let y(q) be the first derivative of 2 - 1/12*q**3 + 0*q**k + 1/4*q. Factor y(r). -(r - 1)*(r + 1)/4 Let u(y) be the third derivative of -7*y**6/24 - 31*y**5/4 - 65*y**4/12 - 3*y**2 + 12*y. Factor u(p). -5*p*(p + 13)*(7*p + 2) Let a be (-4)/1 - ((-168)/27 - 0). Let d = a + -82/45. What is k in -2/5*k + 6/5 - 6/5*k**2 + d*k**3 = 0? -1, 1, 3 Let a(v) = v**2 - 4*v - 4. Let q be a(6). Suppose 5*k + q = 4*t, -5*t - k = -2*k - 10. Suppose 4/7*c**3 - 6/7*c - 6/7*c**t + 4/7 = 0. What is c? -1, 1/2, 2 Factor -2018*g + 157919*g**3 - 102794*g**3 - 62*g - 53025*g**2 - 20. 5*(g - 1)*(105*g + 2)**2 Suppose -18 = -6*c - 6. Suppose c - 9
{ "pile_set_name": "DM Mathematics" }
105 * -750 -78750 -0.2 times -6.151 1.2302 Multiply -5 and 0.4919. -2.4595 -466*-92 42872 Calculate 65108*-0.4. -26043.2 Multiply 11951 and -0.2. -2390.2 21 times 25.3 531.3 0.5 * -341437 -170718.5 Product of -15337 and -2. 30674 2 * -56248 -112496 Product of 181 and 5490. 993690 What is the product of -0.15078 and -1.1? 0.165858 Multiply 0.6 and -173256. -103953.6 Work out -0.4 * -9047. 3618.8 What is the product of 3 and 130269? 390807 -12*2.1716 -26.0592 Product of 8 and 3940. 31520 What is -4 times 13407? -53628 What is -0.088 times -199? 17.512 Product of 0.02681 and -0.0729. -0.001954449 -7733.4 * -0.5 3866.7 -8106 times 0.28 -2269.68 Work out 1 * -10329. -10329 -30.3 times 62.78 -1902.234 4.4*52347 230326.8 -8723 times 19 -165737 -57 times 265 -15105 -112 * 619 -69328 Multiply 0.4 and -0.052538. -0.0210152 Work out -0.12 * 371.984. -44.63808 Calculate -14524*-0.1. 1452.4 Product of 0.04278 and -6. -0.25668 Work out 44657 * -2. -89314 Work out 6 * 17788. 106728 Calculate 0.00672*-38. -0.25536 Work out 9 * 6878.1. 61902.9 Calculate -2*6471. -12942 Calculate -9436.9*-0.3. 2831.07 -0.10691 * -46 4.91786 Multiply 215.8 and 32.6. 7035.08 Multiply 7 and 7629. 53403 0.27*-1704 -460.08 What is the product of 1941 and 12.7? 24650.7 What is 2.3 times -0.0178? -0.04094 Calculate 3*-0.08661. -0.25983 -40204 times -0.03 1206.12 Multiply 211498 and -2. -422996 Multiply -3395 and 80. -271600 4967 times 6.9 34272.3 What is -2.1589 times 0.3? -0.64767 What is -0.0216 times -0.1? 0.00216 -0.042134 * 0.2 -0.0084268 Product of 228929 and 0.3. 68678.7 What is the product of -19790 and 10? -197900 -3436 times 0.425 -1460.3 What is 0.5 times 14.441? 7.2205 Product of 4645.5 and -39. -181174.5 15134 times -0.05 -756.7 Calculate -871*6.85. -5966.35 What is the product of -0.2 and 16314? -3262.8 What is 5.1 times 1688? 8608.8 What is the product of -1 and 140282? -140282 Work out 43 * 9321. 400803 -636663 times 0 0 Product of 0.5 and -180939. -90469.5 Product of 4 and -10707. -42828 What is the product of 8704 and -16? -139264 0.12 * -402 -48.24 Work out -0.4 * -2.6939. 1.07756 Calculate -138*2720. -375360 -0.0990836 times 6 -0.5945016 -2.5 * -505 1262.5 What is the product of 0.25 and -2850? -712.5 What is 15 times 79117? 1186755 2.08*-388 -807.04 Multiply 2.1 and 1744.5. 3663.45 What is -3 times 40858? -122574 Product of -73 and -2.8. 204.4 Work out -1.23 * 12.88. -15.8424 What is the product of 39185 and 0.061? 2390.285 4 * -2202 -8808 What is 0.4 times -58.69? -23.476 -67 * 25796 -1728332 -3.2 * -0.0408 0.13056 Multiply -948 and 177. -167796 What is the product of -2 and -0.0119063? 0.0238126 What is -17 times 4968? -84456 What is 11532 times -74? -853368 Product of 0.5076 and 1.1. 0.55836 24*-19.5 -468 22 * -14.062 -309.364 12*-323.9 -3886.8 Work out 148214 * -0.08. -11857.12 What is the product of 1.835 and -66? -121.11 Calculate -169408*-0.5. 84704 Product of 1.199483 and -5. -5.997415 Multiply 28.31 and 10.32. 292.1592 What is the product of -0.251 and -1598? 401.098 Multiply 3.18 and 0.651. 2.07018 0*-0.0083 0 What is -0.3 times -8309? 2492.7 0.4 times -42570.4 -17028.16 Multiply 1.96 and 0.03462. 0.0678552 What is 3 times 711894? 2135682 What is -11 times 0.01861? -0.20471 Product of 0.9 and -10.47. -9.423 Product of 0.167 and 602. 100.534 3 times 2139052 6417156 Multiply 0.5 and 69.112. 34.556 What is the product of 0.441 and -0.172? -0.075852 What is -7.8 times -0.87? 6.786 Work out 229244 * 0.4. 91697.6 Calculate -0.2506*387. -96.9822 What is the product of 2 and -1.9056? -3.8112 Product of -6 and 575. -3450 Multiply 102 and -2716. -277032 What is 0.5 times -86912.1? -43456.05 2.38 * 0.02 0.0476 Product of 2283531 and 0.3. 685059.3 2.0018*9 18.0162 0.825 times 1849 1525.425 Work out 0.19 * 0.100431. 0.01908189 Work out -0.5 * -1117.424. 558.712 -915 times -156 142740 0.0264735 * 0.1 0.00264735 -6.0371 times -5 30.1855 What is the product of 49 and -5040? -246960 -28.6 * -196 5605.6 Work out 124315 * 0.6. 74589 What is 0.5 times 18767? 9383.5 Calculate -0.5812*-0.98. 0.569576 Product of 3708 and 578. 2143224 Work out 1 * 0.1789108. 0.1789108 Calculate 0.133701*-3. -0.401103 Work out -45526 * -6. 273156 Product of 30.57516 and 0.3. 9.172548 Calculate -3809.7*-9. 34287.3 Product of -0.056 and -435. 24.36 Calculate -416684*20. -8333680 43996 * -4 -175984 What is the product of -729.96 and -4? 2919.84 646090*0.5 323045 What is 11080 times 38? 421040 -4 times 246.612 -986.448 0.2 * -2014587 -402917.4 16.622*-0.2 -3.3244 Multiply 245 and 269. 65905 Multiply 0.4 and -33.2899. -13.31596 Calculate -0.5*0.073125. -0.0365625 Product of 598328 and -0.1. -59832.8 317 times 0.0205 6.4985 What is -0.5 times 4.6276? -2.3138 What is 5 times -6395.6? -31978 -48243*0.28 -13508.04 0.07 * 2926.4 204.848 Multiply -3 and -19702. 59106 What is 9139.3 times 0.35? 3198.755 Calculate -0.4*5639. -2255.6 What is 7 times 3.63? 25.41 What is the product of -0.154228 and -0.6? 0.0925368 Work out -4 * 8001. -32004 -5484.3 * -0.5 2742.15 Work out -8 * 45134. -361072 What is the product of -2 and -174.815? 349.63 Multiply -0.16 and -133872. 21419.52 What is 473224 times 1? 473224 Product of 10.8 and 1.98. 21.384 -1667 * -53 88351 145.6 times -0.398 -57.9488 Work out -1102082 * -0.1. 110208.2 Calculate -0.045*1884. -84.78 6 times -10206.6 -61239.6 -853 times 79 -67387 Multiply 6055 and 24. 145320 -92548 * 5 -462740 Calculate -0.8*-65243. 52194.4 Multiply -1095 and -24. 26280 Multiply -7 and -124130. 868910 Work out -0.5 * 2649. -1324.5 -0.193*0.01255 -0.00242215 What is -122.87 times 4? -491.48 Product of -160953 and -4. 643812 -2672 times 1.3 -3473.6 0 * -94652 0 Multiply -150 and 0.6992. -104.88 -0.1005144*-0.3 0.03015432 Product of -0.2 and 183188. -36637.6 0.063*8115 511.245 Multiply -15414 and 0.04. -616.56 What is 10700.94 times 0.4? 4280.376 Product of -1050 and 514. -539700 0.248 * 0.8 0.1984 -2.5223 * 5 -12.6115 Calculate -3388*0.58. -1965.04 What is 4 times -1.4979? -5.9916 Calculate -0.160583*-7. 1.124081 -22691 times -0.21 4765.11 Calculate -2.05*0.02. -0.041 Work out 0.71 * 3792. 2692.32 Calculate 62664*-0.6. -37598.4 What is the product of 204591 and -1? -204591 Product of -4.92 and 0.1. -0.492 Product of -828903 and -5. 4144515 What is the product of -1.3 and -2663? 3461.9 Multiply -393 and 740. -290820 -0.766*99 -75.834 Multiply -5 and 6831. -34155 Work out 13313 * 2. 26626 -333.18*-0.5 166.59 183*-100.3 -18354.9 What is the product of 0.2 and -370.56? -74.112 What is the product of 151 and 0.02? 3.02 Work out -80285 * -2. 160570 11.3 times -4 -45.2 Product of 0.0044 and 63. 0.2772 Multiply 449 and 313. 140537 95369 times -0.2 -19073.8 -406284 * -0.9 365655.6 Multiply 7471 and -0.66. -4930.86 Product of 3 and 28566. 85698 What is the product of -0.5 and -196352? 98176 What is -114 times -0.999? 113.886 What is 0.3 times 23.4772? 7.04316 What is -3 times 20780? -62340 -6.31 * -1544 9742.64 -8*6233 -49864 -54159*0.1 -5415.9 279381 * -5 -1396905 Multiply -0.023 and 1.5629. -0.0359467 -28705 * 0.1 -2870.5 1589 times -1197 -1902033 Multiply 24394 and -0.4. -9757.6 What is 26.42 times 585? 15455.7 -1 * -222994 222994 Calculate 8*-17561. -140488 18 * 196 3528 What is the product of -0.016843 and 0.3? -0.0050529 234.197*3 702.591 Multiply 3.998 and -29.1. -116.3418 8*-87.686 -701.488 -276881 times 5 -1384405 What is 0.08 times 4415? 353.2 0.2 * 1.852 0.3704 -0.009728 * -103 1.001984 Calculate -52.5*-46. 2415 What is -43225 times -0.3? 12967.5 Calculate 6.60699*-0.1. -0.660699 Work out 6 * -258132. -1548792 Product of -3 and 707.709. -2123.127 290136 * -2 -580272 Calculate -115590*-6. 693540 What is 402 times -1.1? -442.2 Calculate -826.4*-3. 2479.2 1036*-5039 -5220404 Product of 5 and 91433. 457165 What is -9.54 times 37? -352.98 What is the product of 26906 and 0.16? 4304.96 Work out 31944 * -0.12. -3833.28 Product of -41 and 5517. -226197 Work out -0.14 * 0.03959. -0.0055426 Calculate 60.7*25.96. 1575.772 Work out -347929 * -2. 695858 What is -162373 times 0.3? -48711.9 Work out 7.6 * -2006.1. -15246.36 Multiply 6153 and 0.364. 2239.692 Multiply -18923 and 15.4. -291414.2 What is the product of 318624 and -4? -1274496 1136*0.33 374.88 198758*-4 -795032 -223.8 times 5 -111
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from gbtsgbgbtbbs. What is prob of sequence sbbg? 1/99 Three letters picked without replacement from {b: 7, s: 7}. What is prob of sequence bss? 7/52 What is prob of sequence nh when two letters picked without replacement from nhhnnnhnhhy? 5/22 Four letters picked without replacement from pxxxxvvvxvpxvxxpvvx. What is prob of sequence xppv? 21/5168 What is prob of sequence vvgv when four letters picked without replacement from vwevbgevvggbw? 3/715 Calculate prob of sequence ybyv when four letters picked without replacement from {y: 4, b: 1, v: 5}. 1/84 Two letters picked without replacement from yyee. What is prob of sequence yy? 1/6 What is prob of sequence wgx when three letters picked without replacement from wxzwxxwjmmwg? 1/110 Two letters picked without replacement from eeeeeeeeeeje. What is prob of sequence je? 1/12 Four letters picked without replacement from ltttttltttt. Give prob of sequence tltl. 1/55 Calculate prob of sequence ulfd when four letters picked without replacement from vddffdbluuddbfuduv. 1/1020 Four letters picked without replacement from {l: 2, u: 7}. Give prob of sequence luul. 1/36 Two letters picked without replacement from {b: 4, m: 9, f: 3}. What is prob of sequence mf? 9/80 Calculate prob of sequence ss when two letters picked without replacement from sjsjs. 3/10 Calculate prob of sequence pnbp when four letters picked without replacement from {g: 5, x: 1, p: 3, b: 1, n: 6, w: 1}. 3/4760 Calculate prob of sequence iqo when three letters picked without replacement from oivyiqy. 1/105 Two letters picked without replacement from {o: 7, j: 3, s: 1, m: 3}. What is prob of sequence sj? 3/182 Four letters picked without replacement from {m: 7, j: 3, g: 4}. Give prob of sequence mmgm. 5/143 Calculate prob of sequence jpj when three letters picked without replacement from pppjppppjj. 7/120 What is prob of sequence hrwg when four letters picked without replacement from {r: 1, q: 3, w: 6, b: 1, g: 1, h: 1}? 1/2860 Two letters picked without replacement from {c: 1, m: 1, x: 9, j: 3}. What is prob of sequence cx? 9/182 What is prob of sequence ig when two letters picked without replacement from ssisigiigiisii? 8/91 Two letters picked without replacement from wwff. What is prob of sequence wf? 1/3 Calculate prob of sequence qgqg when four letters picked without replacement from qquuugqgggg. 1/66 Three letters picked without replacement from {r: 1, a: 18}. What is prob of sequence aar? 1/19 Four letters picked without replacement from oiooooooooiooioooio. What is prob of sequence ooii? 35/1292 Two letters picked without replacement from {o: 3, e: 3, t: 2, z: 1, n: 1, w: 3}. Give prob of sequence wt. 1/26 Three letters picked without replacement from lllzzzzlzlzzezzlllz. What is prob of sequence lel? 28/2907 Calculate prob of sequence ddr when three letters picked without replacement from {d: 3, r: 2}. 1/5 Two letters picked without replacement from ddddndddnd. What is prob of sequence dn? 8/45 Two letters picked without replacement from {q: 1, z: 2, t: 1, b: 1, j: 2, e: 1}. Give prob of sequence qz. 1/28 Two letters picked without replacement from {t: 6, o: 3, c: 4}. Give prob of sequence ot. 3/26 Two letters picked without replacement from {e: 1, u: 2, n: 3, y: 7, v: 3, s: 3}. What is prob of sequence nn? 1/57 Three letters picked without replacement from cccqqqfcdd. Give prob of sequence dfq. 1/120 Calculate prob of sequence gggg when four letters picked without replacement from {b: 5, g: 11}. 33/182 Four letters picked without replacement from ururuurruuuuruuu. What is prob of sequence uurr? 55/1092 Calculate prob of sequence nw when two letters picked without replacement from cwcwcwnwczczcc. 2/91 Four letters picked without replacement from aeeaaooa. What is prob of sequence eaea? 1/70 Calculate prob of sequence kkrk when four letters picked without replacement from {e: 7, k: 7, g: 3, r: 3}. 7/1292 Calculate prob of sequence pllp when four letters picked without replacement from nlipipplpppppppipip. 11/3876 What is prob of sequence os when two letters picked without replacement from ofosu? 1/10 Four letters picked without replacement from dedtpeteaeedn. What is prob of sequence nadd? 1/2860 Calculate prob of sequence ppa when three letters picked without replacement from tapttpt. 1/105 Three letters picked without replacement from djaeavg. Give prob of sequence dej. 1/210 Calculate prob of sequence bx when two letters picked without replacement from bzxdbxxmiizbz. 3/52 Four letters picked without replacement from {m: 2, v: 2, r: 1, x: 1, i: 1, b: 1}. Give prob of sequence vimx. 1/420 Calculate prob of sequence tlt when three letters picked without replacement from ttttttttectlt. 15/286 What is prob of sequence qks when three letters picked without replacement from {k: 1, q: 1, c: 1, o: 1, s: 1}? 1/60 Three letters picked without replacement from iffiif. Give prob of sequence ifi. 3/20 What is prob of sequence hp when two letters picked without replacement from {y: 1, p: 1, e: 1, h: 1, x: 1}? 1/20 Four letters picked without replacement from {k: 1, w: 5, m: 5, i: 8}. What is prob of sequence mmmk? 5/7752 Four letters picked without replacement from {l: 9, b: 2}. What is prob of sequence lbll? 7/55 Two letters picked without replacement from {x: 1, u: 1, a: 1, k: 1, p: 4}. What is prob of sequence pk? 1/14 Calculate prob of sequence gijz when four letters picked without replacement from ggzzijh. 1/210 What is prob of sequence beg when three letters picked without replacement from {n: 2, a: 7, e: 1, b: 4, g: 1}? 2/1365 Calculate prob of sequence pppz when four letters picked without replacement from zppzpzpzpzppp. 14/143 Four letters picked without replacement from sbbssssbssss. What is prob of sequence ssss? 14/55 Calculate prob of sequence lbw when three letters picked without replacement from ewlwb. 1/30 Two letters picked without replacement from eqeeqqqqeeqeqqeeqe. What is prob of sequence eq? 9/34 Three letters picked without replacement from {w: 1, t: 2, d: 1, s: 2, h: 4}. Give prob of sequence dhh. 1/60 Calculate prob of sequence zzze when four letters picked without replacement from {z: 7, e: 6}. 21/286 Calculate prob of sequence kq when two letters picked without replacement from qpkqcqpqqqqkqktqqk. 20/153 Four letters picked without replacement from mmmmmnwgnmmmmmm. What is prob of sequence ggmg? 0 Three letters picked without replacement from jxbxf. Give prob of sequence xxf. 1/30 What is prob of sequence fqff when four letters picked without replacement from fqjfpjffqfjeqfqeefe? 35/3876 Calculate prob of sequence am when two letters picked without replacement from mmxmxxxxmmaaxaaxaaax. 7/76 Calculate prob of sequence fff when three letters picked without replacement from wffwfwfwww. 1/30 What is prob of sequence uujj when four letters picked without replacement from {p: 2, u: 1, x: 2, j: 1, a: 1}? 0 Calculate prob of sequence mk when two letters picked without replacement from {k: 7, m: 4}. 14/55 Three letters picked without replacement from llrllr. What is prob of sequence rlr? 1/15 Calculate prob of sequence ccg when three letters picked without replacement from jjcjjcgcjccgc. 5/143 Two letters picked without replacement from glvclllgvvvcggcl. Give prob of sequence gc. 1/20 What is prob of sequence aaa when three letters picked without replacement from {k: 1, a: 3}? 1/4 Calculate prob of sequence ege when three letters picked without replacement from eeeeevsgseeevovvs. 7/510 Three letters picked without replacement from {g: 2, o: 4, q: 8, c: 1}. What is prob of sequence qgq? 8/195 Two letters picked without replacement from {k: 2, r: 1, l: 2, e: 1}. What is prob of sequence kk? 1/15 What is prob of sequence lll when three letters picked without replacement from {g: 2, l: 8}? 7/15 Two letters picked without replacement from icviiccvc. Give prob of sequence ic. 1/6 Calculate prob of sequence bl when two letters picked without replacement from zlbfillbbzli. 1/11 Four letters picked without replacement from {y: 15, j: 5}. Give prob of sequence yjjj. 5/646 Three letters picked without replacement from {q: 2, g: 16}. Give prob of sequence gqq. 1/153 Four letters picked without rep
{ "pile_set_name": "DM Mathematics" }
est common divisor of 9 and 35745? 3 What is the highest common divisor of 625 and 19475? 25 What is the greatest common divisor of 287 and 2019332? 287 What is the greatest common divisor of 235647 and 216? 9 Calculate the highest common divisor of 23 and 73163. 23 What is the highest common factor of 375 and 106275? 75 Calculate the highest common factor of 76190 and 1330. 190 Calculate the highest common factor of 531070 and 920. 230 What is the highest common divisor of 5841 and 7227? 99 Calculate the greatest common factor of 1185305 and 3795. 1265 What is the highest common factor of 1665 and 9805? 185 Calculate the highest common divisor of 4356 and 52776. 36 Calculate the greatest common divisor of 428785 and 35. 35 Calculate the greatest common divisor of 201492 and 108. 36 Calculate the highest common factor of 428 and 30174. 214 Calculate the highest common factor of 14 and 52409. 7 What is the highest common divisor of 170105 and 793? 13 Calculate the greatest common factor of 19106922 and 1542. 1542 What is the greatest common divisor of 888580 and 308? 308 Calculate the highest common factor of 189075 and 75. 75 Calculate the highest common divisor of 2232 and 408. 24 What is the greatest common factor of 58 and 156716? 58 Calculate the greatest common factor of 3346848 and 18. 18 What is the greatest common factor of 55 and 6385? 5 What is the highest common factor of 384 and 6048? 96 What is the greatest common divisor of 4368 and 23184? 336 Calculate the highest common divisor of 12615 and 59160. 435 Calculate the greatest common factor of 43038 and 72. 18 Calculate the highest common factor of 937006 and 868. 434 Calculate the highest common divisor of 46 and 3081333. 23 Calculate the greatest common divisor of 131040 and 245. 35 What is the greatest common divisor of 123 and 4326033? 123 Calculate the greatest common factor of 196 and 264572. 28 Calculate the highest common factor of 381 and 346075. 127 Calculate the greatest common factor of 2563 and 1793. 11 Calculate the highest common divisor of 500 and 35300. 100 What is the highest common divisor of 10805 and 50? 5 What is the greatest common divisor of 2634616 and 304? 152 What is the highest common factor of 42 and 12880? 14 Calculate the greatest common factor of 2120 and 39880. 40 What is the highest common divisor of 25 and 463? 1 Calculate the greatest common divisor of 999 and 459. 27 Calculate the highest common factor of 38787 and 42. 21 What is the highest common divisor of 50 and 253430? 10 Calculate the greatest common divisor of 23 and 193867. 23 Calculate the greatest common divisor of 8483 and 487523. 499 What is the greatest common factor of 3312 and 184230? 414 What is the greatest common factor of 10 and 18482? 2 Calculate the highest common factor of 110599 and 38. 19 What is the greatest common factor of 2695608 and 696? 696 Calculate the greatest common divisor of 1352187 and 13176. 1647 Calculate the greatest common factor of 3792 and 46452. 948 Calculate the highest common divisor of 5 and 883735. 5 What is the greatest common divisor of 9262 and 308? 22 Calculate the greatest common divisor of 2071 and 12862. 109 What is the highest common factor of 496561 and 117? 13 Calculate the highest common divisor of 73022 and 3886. 58 What is the greatest common factor of 6 and 686? 2 Calculate the greatest common factor of 450 and 40815. 45 Calculate the greatest common factor of 212718 and 2178. 726 What is the greatest common factor of 26506 and 459742? 914 What is the greatest common factor of 6583 and 30653? 29 What is the greatest common factor of 88447 and 3133? 241 What is the greatest common divisor of 996 and 388772? 332 Calculate the highest common factor of 1372 and 76. 4 Calculate the greatest common factor of 150 and 4010. 10 Calculate the highest common divisor of 2410 and 980. 10 Calculate the highest common factor of 892 and 1916. 4 Calculate the highest common divisor of 46074 and 3066. 42 What is the highest common factor of 42 and 7021056? 42 What is the highest common factor of 875 and 1925? 175 What is the greatest common factor of 2975 and 410975? 425 What is the greatest common divisor of 6850 and 3151? 137 Calculate the greatest common divisor of 412 and 101146. 206 Calculate the greatest common factor of 14566032 and 39. 39 What is the highest common factor of 283 and 349788? 283 What is the greatest common divisor of 25088 and 98? 98 Calculate the greatest common factor of 300618 and 486. 54 Calculate the greatest common divisor of 298 and 1703666. 298 What is the greatest common divisor of 8268 and 5448? 12 What is the greatest common divisor of 496621 and 68? 17 What is the highest common divisor of 27963 and 717? 717 What is the highest common divisor of 6942 and 156? 78 What is the highest common divisor of 2195 and 214232? 439 Calculate the greatest common divisor of 105 and 34800. 15 Calculate the greatest common divisor of 21 and 13125. 21 Calculate the greatest common divisor of 728 and 38402. 182 Calculate the greatest common divisor of 50 and 45230. 10 Calculate the greatest common divisor of 16114 and 196. 14 Calculate the greatest common factor of 256 and 42352. 16 What is the greatest common factor of 31882 and 304? 38 What is the highest common factor of 201510 and 1098? 18 Calculate the greatest common divisor of 103870 and 1190. 170 What is the greatest common divisor of 112696 and 8? 8 What is the greatest common factor of 13 and 835939? 13 What is the highest common divisor of 1017778 and 1778? 254 Calculate the greatest common factor of 6150 and 6396. 246 What is the highest common divisor of 496 and 144274? 62 Calculate the highest common factor of 704 and 1111. 11 What is the greatest common divisor of 2100 and 5425? 175 Calculate the highest common factor of 151527 and 159. 159 Calculate the highest common factor of 4239 and 4860. 27 Calculate the greatest common factor of 697 and 656. 41 What is the highest common divisor of 3648 and 1197152? 608 Calculate the greatest common divisor of 3 and 88758. 3 Calculate the greatest common divisor of 2640 and 138864. 528 Calculate the greatest common factor of 10 and 240733. 1 What is the highest common divisor of 4041 and 2? 1 What is the highest common divisor of 195 and 1352745? 15 Calculate the highest common divisor of 4515 and 420. 105 What is the highest common divisor of 4430 and 160? 10 What is the highest common divisor of 9815 and 6370? 65 What is the greatest common factor of 7575 and 6225? 75 Calculate the highest common factor of 182400 and 840. 120 What is the highest common factor of 528 and 53460? 132 What is the greatest common factor of 19 and 418? 19 Calculate the highest common factor of 1235 and 54730. 65 Calculate the greatest common factor of 335940 and 105. 15 Calculate the greatest common divisor of 722 and 287717. 361 What is the highest common divisor of 46 and 3400412? 46 What is the highest common factor of 11349 and 6903? 117 Calculate the greatest common factor of 516 and 41460. 12 What is the highest common divisor of 375 and 28995? 15 Calculate the greatest common factor of 16 and 68872. 8 Calculate the highest common divisor of 20 and 17190. 10 Calculate the greatest common divisor of 2173 and 62010. 53 Calculate the highest common divisor of 2680920 and 45. 45 What is the highest common divisor of 1244 and 16? 4 Calculate the greatest common divisor of 2166 and 12. 6 What is the greatest common divisor of 124353 and 369? 369 Calculate the highest common factor of 115370 and 25854. 278 What is the greatest common divisor of 898065 and 315? 315 Calculate the greatest common divisor of 3 and 308793. 3 What is the highest common divisor of 2621108 and 98? 98 What is the greatest common factor of 4524 and 129948? 156 What is the highest common factor of 2445086 and 14? 14 What is the highest common divisor of 847659 and 1032? 129 Calculate the highest common divisor of 1077019 and 5067. 563 Calculate the greatest common divisor of 227409 and 663. 663 What is the highest common divisor of 56 and 379862? 14 Calculate the highest common divisor of 103226 and 54. 2 Calculate the greatest common divisor of 9 and 331983. 9 What is the
{ "pile_set_name": "DM Mathematics" }
3, -121567? -133407 What comes next: -1351, 2287, 12165, 31403, 63121, 110439, 176477, 264355? 377193 What comes next: 301432, 602622, 903812? 1205002 What comes next: 361133461, 361133460, 361133459, 361133458, 361133457, 361133456? 361133455 What comes next: 305535, 611189, 916829, 1222449, 1528043, 1833605, 2139129, 2444609? 2750039 What is the next term in -767, -230, 283, 760, 1189, 1558, 1855? 2068 What is next in 117411, 117718, 118231, 118950, 119875, 121006, 122343? 123886 What is next in 15110325, 15110308, 15110291, 15110274, 15110257? 15110240 What is next in 13600703, 27201414, 40802125, 54402836? 68003547 What is next in 2306, 2122, 1974, 1880, 1858, 1926, 2102? 2404 What is the next term in 2410623, 2410184, 2409745, 2409306, 2408867? 2408428 What is next in -371331, -1485337, -3342013, -5941359? -9283375 What is the next term in 197688, 198004, 198310, 198600, 198868, 199108, 199314, 199480? 199600 What comes next: -22140581, -22140580, -22140577, -22140572? -22140565 What comes next: -22524, -90327, -203412, -361779, -565428? -814359 What is next in 14825, 14911, 14999, 15089, 15181, 15275? 15371 What is next in -750, -1799, -3154, -4815, -6782? -9055 What is the next term in 9366500, 9366496, 9366492, 9366488, 9366484, 9366480? 9366476 What is next in 57854, 115702, 173550? 231398 What is next in 59044794, 118089589, 177134384? 236179179 What comes next: 1790, 7324, 20400, 44792, 84274, 142620, 223604, 331000? 468582 What is next in 4217, 3534, 2469, 1022, -807, -3018, -5611? -8586 What is the next term in 70, -149, -534, -1085, -1802? -2685 What comes next: 15616, 31039, 46272, 61315, 76168? 90831 What is next in 45440, 44832, 44224, 43616, 43008, 42400? 41792 What comes next: -3412219, -13648872, -30709961, -54595486? -85305447 What comes next: -93816, -187895, -281974? -376053 What comes next: 330556, 1322250, 2975064, 5288992, 8264028, 11900166? 16197400 What is the next term in -2686, -6608, -13144, -22294, -34058, -48436, -65428? -85034 What comes next: 748, 1546, 2396, 3292, 4228, 5198, 6196? 7216 What is the next term in 4, 11, -16, -113, -316, -661, -1184, -1921? -2908 What is next in 29439, 235469, 794701, 1883739, 3679187, 6357649, 10095729, 15070031? 21457159 What is the next term in -864565, -1729138, -2593719, -3458314, -4322929, -5187570, -6052243? -6916954 What is next in -268, -333, -406, -487, -576? -673 What comes next: 14083, 50377, 108895, 189643, 292627, 417853? 565327 What is next in -27271, -109478, -246489, -438304, -684923, -986346? -1342573 What comes next: 162348, 162405, 162462, 162519, 162576, 162633? 162690 What is the next term in 875, 3179, 6923, 12029, 18419? 26015 What is the next term in -2968781, -5937478, -8906169, -11874848, -14843509, -17812146, -20780753, -23749324? -26717853 What comes next: -1856984, -1857009, -1857034, -1857059, -1857084, -1857109? -1857134 What is the next term in 345132, 345084, 345036, 344988? 344940 What comes next: 8433332, 8433331, 8433330, 8433329, 8433328? 8433327 What comes next: 148207, 296590, 445003, 593446, 741919, 890422? 1038955 What comes next: 40754, 40306, 39572, 38546, 37222, 35594? 33656 What is the next term in -2858963, -11435657, -25730139, -45742403, -71472443, -102920253, -140085827? -182969159 What comes next: 1378, 2040, 3880, 7498, 13494, 22468? 35020 What comes next: 34416, 68827, 103230, 137619, 171988, 206331? 240642 What comes next: -649, -2311, -4989, -8695, -13441? -19239 What is next in -140, 3708, 7556, 11404? 15252 What comes next: 238, 9594, 28054, 55624, 92310, 138118? 193054 What is next in -28149, -56288, -84487, -112746, -141065, -169444? -197883 What is next in -1592, -1520, -1346, -1022, -500? 268 What is next in -1171, -6365, -15133, -27481, -43415, -62941? -86065 What is next in -46962, -46983, -47004, -47025? -47046 What comes next: -1966, -8329, -18752, -33241, -51802, -74441, -101164? -131977 What is the next term in 11713239, 11713236, 11713233, 11713230, 11713227? 11713224 What is the next term in 67668, 67741, 67870, 68055, 68296? 68593 What comes next: -666889, -1333799, -2000723, -2667661, -3334613? -4001579 What is next in 6446, 53022, 179328, 425228, 830586, 1435266, 2279132, 3402048? 4843878 What comes next: -11540, -16282, -21006, -25712, -30400? -35070 What is the next term in -4260, -8297, -12334, -16371? -20408 What comes next: 6163, 24532, 55157, 98038? 153175 What is next in 769038014, 769038016, 769038020, 769038026? 769038034 What is next in -15932, -14333, -12726, -11105, -9464, -7797, -6098, -4361? -2580 What is the next term in 2029, -13833, -40269, -77279, -124863? -183021 What is the next term in -20010, -39561, -59112, -78663? -98214 What is the next term in -661611, -2646789, -5955417, -10587495? -16543023 What comes next: -1744094, -1744043, -1743992, -1743941? -1743890 What is the next term in 565, 4581, 15477, 36691, 71661? 123825 What is next in 346, 1480, 3376, 6034, 9454, 13636? 18580 What comes next: 4, -835, -2398, -4685, -7696, -11431, -15890? -21073 What comes next: -564552, -564564, -564550, -564498, -564396? -564232 What comes next: -19629, -45259, -70889, -96519, -122149, -147779? -173409 What is the next term in -350155, -1400663, -3151517, -5602723, -8754287, -12606215? -17158513 What is next in -1689, -3366, -5045, -6726? -8409 What is next in -368897, -368837, -368773, -368699, -368609, -368497? -368357 What is the next term in -2851753, -5703437, -8555121, -11406805? -14258489 What is next in -10643364, -21286684, -31930004? -42573324 What comes next: 196, 1384, 3788, 7756, 13636, 21776? 32524 What comes next: 32711, 33580, 35003, 36980, 39511? 42596 What is the next term in -498, -157, 976, 2895, 5594, 9067, 13308? 18311 What comes next: 89118301, 89118294, 89118287? 89118280 What is the next term in 21542463, 21542469, 21542475, 21542481, 21542487, 21542493? 21542499 What is the next term in -6384, -7573, -8784, -10023, -11296, -12609, -13968? -15379 What is the next term in 260201, 262928, 265655, 268382? 271109 What comes next: -11310916, -11310931, -11310950, -11310973, -11311000, -11311031? -11311066 What comes next: -18537, -18565, -18569, -18555, -18529? -18497 What is the next term in -96986, -193992, -291020, -388076, -485166, -582296, -679472? -776700 What is the next term in -35341, -70687, -106031, -141379, -176737, -212111, -247507? -282931 What is next in 465, 1090, 1687, 2256, 2797, 3310? 3795 What is the next term in -2134, -8411, -18816, -33349? -52010 What is next in -7641, -30960, -70119, -125358, -196917, -285036, -389955? -511914 What is next in 1490, 8171, 19308, 34907, 54974? 79515 What comes next: -15265, -30668, -46065, -61456, -76841, -92220, -107593? -122960 What comes next: 4338, 33916, 114182, 270474, 528130, 912488, 1448886, 2162662? 3079154 What is next in -2375, -10059, -23065, -41399, -65067, -94075? -128429 What comes next: 5236, 20592, 46094, 81742, 127536, 183476? 249562 What is next in 1552, 12339, 41606, 98593, 192540, 332687, 528274? 788541 What is next in -1382, -1391, -1328, -1193? -986 What comes next: -836595, -1673180, -2509779, -3346398, -4183043, -5019720, -5856435, -6693194? -7530003 What is the next term in 2772715, 2772701, 2772673, 2772625, 2772551, 2772445, 2772301, 2772113? 2771875 What is the next term in 59861, 119730, 179607, 239492? 299385 What is next in -9142, -26492, -55408, -95890, -147938, -211552, -286732? -373478 What is the next term in -1082697, -2165276, -3247855, -4330434, -5413013? -6495592 What comes next: 144, 446, 998, 1830, 2972? 4454 What is the next term in -675058, -1350056, -2025056, -2700058, -3375062, -4050068, -4725076? -5400086 What is next in 167214, 334126, 500752, 667086, 833122, 998854? 1164276 What is the next term in 239795, 959479, 2158949, 3838199, 5997223, 8636015, 11754569, 15352879? 19430939 What comes next: 1696, 6469, 14316, 25237, 39232, 56301, 76444? 99661 What is the next term in -845, -3083, -6665, -11585, -17837? -25415 What is next in 28967, 29183, 29761, 30881, 32723? 35467 What is the next term in -10652, -42530, -95632, -169958, -265508, -382282? -520280 What is the next term in 120, 273, 712, 1581, 3024? 5185 What is the next term in -775, -1737, -2741, -3793, -4899, -60
{ "pile_set_name": "DM Mathematics" }
- 13.9. Let v = w + -0.1. What is the third smallest value in v, s, -0.4? -0.4 Let a = 0.05 + 0.45. Let u = -25.24 - -0.24. Let x = -26 - u. What is the second smallest value in 4, a, x? a Let m = 6 - 2. Let x = -0.1978 + -4.8022. What is the third biggest value in 9, -3, x, m? -3 Let l = -8 - -21. Let v = -15.4 + l. Let n = v - -1.4. What is the biggest value in n, 3/2, -3? 3/2 Let u = -627 + 617. What is the third smallest value in -8, u, -0.5, 1? -0.5 Let t be (-4)/(-5) - (2 - 8/4). Which is the smallest value? (a) t (b) 3 (c) -0.08 c Let r = -0.009 + 0.009. Let c = 0.8 + 4.2. What is the second biggest value in 4, c, r? 4 Suppose 4*x = 3 - 7, 5*q - 27 = 2*x. Suppose 19 = -q*n - 1. Which is the fourth smallest value? (a) 3 (b) 1/2 (c) n (d) 2 a Let g = -2.25 - 0.15. Let n = g - -1.9. Let h be ((-14)/(-35))/(12/10). Which is the smallest value? (a) n (b) 4 (c) h a Let k = 1841 - 1832. Which is the third smallest value? (a) -21 (b) k (c) -0.5 b Let l = -26.29 - -18.89. What is the second biggest value in -4, l, 1/4? -4 Let d = -893.8 - -894. What is the biggest value in -0.4, -36, -3/2, d? d Let c = -657 + 1265/2. Let p = c + 535/22. Let q be 2*(2 + (-21)/9). What is the smallest value in 1, q, p? q Let v be 3 + (-6)/(-24) + 29/(-4). Let w be 75/(-21) - -2 - -1. What is the third smallest value in v, 5, w? 5 Let w = 14.25 + -0.25. Let l be -7 - 2/((-2)/3). Which is the biggest value? (a) 4 (b) l (c) w c Let d = -64 + 94. Let v = d + -29.9. Which is the second smallest value? (a) v (b) 1/7 (c) 1 b Suppose 3*z + 25 = -4*o, -z - 6*o = -o + 23. Let i = -1083 + 1085. Which is the third smallest value? (a) z (b) 0.3 (c) i (d) -0.11 b Suppose -47 = -5*s - 2. Suppose 11 = -5*j - s. Let l = -0.23 + -0.07. Which is the third smallest value? (a) l (b) 1/4 (c) j b Let r = 0.064 + 1.936. Let q = 2.1 - r. What is the smallest value in -3, q, -6? -6 Suppose 0 = -b - 176 + 179. Let z = -6 + 20/3. Let h = 6 - 5. What is the second biggest value in b, z, h? h Let i = 69 - 74. Let q = 86 - 89. Which is the second smallest value? (a) 1/10 (b) i (c) q c Let s be (-14)/84 - 23486/(-84). Suppose -2*j - 5*v + 607 - 62 = 0, -1117 = -4*j - v. Let o = s - j. What is the biggest value in -0.7, o, 0.3? 0.3 Let j = 14 + -13.9. Let h = j - 0.3. Which is the biggest value? (a) -2/7 (b) 0.1 (c) h b Let s = 15031/7 + -2147. Which is the second biggest value? (a) -3 (b) s (c) 18 b Suppose -17*u + 0*u - 51 = 0. What is the smallest value in -9, u, 1/8? -9 Let v = 173.6 + -174. Let g = 3 + -3.3. What is the second biggest value in g, v, 1/3? g Let w = 35 + -43. Which is the second biggest value? (a) 2/7 (b) 4 (c) -0.4 (d) w a Suppose -4*h + 5 = -z, h - z = -2*h + 5. Suppose x + 0*x + 2 = h. Which is the second smallest value? (a) x (b) -5 (c) 0.27 a Let w = 0.067 + -0.053. Let g = -0.014 + w. Suppose -l + 17 = 5*r, l + 4*r - 4 = 5*l. Which is the biggest value? (a) g (b) 1/4 (c) l c Let f be -88 + 20 - (1 + -5). Which is the biggest value? (a) -4 (b) f (c) -1 c Let n be (-4)/(-3) - ((-208)/(-28) + -6). What is the third smallest value in 5, 1/3, n? 5 Let b(f) = -4*f + 16. Let n be b(-16). Let y be (-3 + n/25)/1. What is the smallest value in -1/6, 11, y? -1/6 Let o = -2183 - -2186. Which is the biggest value? (a) -1 (b) o (c) -1/58 (d) 1 b Let t be 1 + (0 + 2)*-4. Let b(o) = -o**3 - 6*o**2 + 7*o + 3. Let k be b(t). What is the third biggest value in k, 0.4, -2? -2 Let o be (-4)/(-3)*(-18)/(-12). Suppose -o*r + 4 = 4*f, -r + 0 = f - 1. Suppose r = 2*m, -5 = -v - m + 2. What is the biggest value in 2/5, v, 1/2? v Let p be ((-80)/(-64))/(3/(-12)). What is the biggest value in 0.089, -0.1, p? 0.089 Let c = -35.9 - -38. Let u = c - 2.1. What is the third smallest value in u, 5/3, 3? 3 Let c be 1690/(-390) - (-1)/1*4. What is the third biggest value in -5, c, -2, 5? -2 Let g be ((-2)/(-6))/(1/(-3)). Let f be ((g + 0)*9)/1. Let q = 64 + -68. Which is the smallest value? (a) 2 (b) f (c) q b Let k = 402.5 - 403. What is the smallest value in -2.7, 2, -1, k? -2.7 Suppose g = -2*r + 12, 3*r - 2*g = 18 - 7. Let y be (-6)/4 - 5/(-3). Let o = -0.3 + 0.1. Which is the third smallest value? (a) y (b) r (c) o b Suppose -n = 2*n - 24. Let z = n - 4. Let x be (-1102)/696 + -2*6/(-16). What is the third smallest value in z, x, -2/3? z Let q = 58/27 - 52/27. Suppose -o + 20 = 4*o. What is the third biggest value in o, -8, q? -8 Let d = 0.0324 - -0.9676. What is the fourth smallest value in -0.2, 4, d, -0.052? 4 Let v be (-13)/(-15) + 54/(-81). Which is the third biggest value? (a) 5 (b) v (c) 1 (d) -4/5 b Let l(i) = i**3 + 2*i**2 + 1. Let h be l(-2). Let r = 0.33 - -42.67. Let d = r - 47. Which is the second biggest value? (a) 0.2 (b) h (c) d a Let q be (-3)/(-1)*16/(-780). Let w = -9/65 + q. Let o be 3/5 + (-36)/160. Which is the third biggest value? (a) o (b) 4 (c) w c Let s = -2.74 + 2.64. What is the fourth biggest value in -1/3, s, 16, -0.4? -0.4 Let n = 0.101 - 0.001. Which is the biggest value? (a) n (b) 32 (c) 3 (d) -0.4 b Let n = 174.6 - 175. Which is the biggest value? (a) n (b) -1 (c) -4 (d) -0.3 d Let y = 2 - 0. Suppose -5*q + 2*u + 94 = 0, -y*q - u + 14 = -29. Let k be (-25)/q*(-4)/(-10). Which is the third smallest value? (a) 4 (b) k (c) -0.2 a Let m = 1.1 - 7.1. Let w = 5.6 + m. Let x = -1.2326 + 1.0326. Which is the third biggest value? (a) 0 (b) w (c) x b Let m = 7 - 3.5. Let v = 21 + -19.5. Let r = m + v. What is the third biggest value in 3/7, 0, r? 0 Suppose -5*o - 17 = -n, -5*o - 4 - 5 = 3*n. Let m = -2.98 - -3. Which is the second smallest value? (a) m (b) o (c) 0 c Let u be (-1 + -1)/(3/6). Let t(m) = m**3 + 4*m**2. Let r be t(u). Which is the biggest value? (a) -3 (b) r (c) -2 b Let i = 7 + -6. Let b be (-17)/30 - (-16)/96. What is the fourth smallest value in b, i, -5, 0.1? i Let k = 0.198 - -0.002. Which is the second biggest value? (a) 9 (b) 0.7 (c) k b Let m = -36875/426 - 15/142. Let u = m - -88. Which is the biggest value? (a) -5 (b) u (c) -6 b Let s = 0.496 + -5.066. Let r = 4.5 + s. Let o = 1.4 - 1. What is the biggest value in o, 4, r? 4 Let u = -0.017 - -0.155. Let i = 0.038 - u. Let m = 1 + -0.8. Which is the third biggest value? (a) 0.4 (b) m (c) i c Let q = -813.8 - -814. What is the biggest value in q, -179, 3/2? 3/2 Let t = 0.1 + 3.9. Let n = -0.127 + -4.873. What is the third smallest value in 2, 0, t, n? 2 Let z be (-3)/(-8)*6/27*-2. What is the smallest value in -1, 0.3, z, -4? -4 Let n = -3/10 - -4/5. Let k be (174/232)/((-2)/(-24)). What is the second smallest value in n, k, 2? 2 Let j = 77811/137747 + 2/5989. Let t = 3/46 - j. Which is the third biggest value? (a) t (b) -5 (c) -4 (d) 0.5 c Let t = -792 - -791. Let j be (4 + -1)/(51/2). Which is the biggest value? (a) j (b) -2 (c) t a Let y = -1 - 3. Let f be ((-1)/(-3))/((-44)/24). Which is the second smallest value? (a) f (b) 2/7 (c) y a Let n = 163 + -162.8. Which is the smallest value? (a) -4 (b) -52 (c) n (d) 2 b Let u = -1274.81 - -1274. What is the biggest value in u, -1, 1/7? 1/7 Let w = 9.07 - 7.07. Which is the second biggest value? (a) 0.22 (b) -0.1 (c) -1/2 (d) w a Let y = -4.0201 - -0.0201. What is the third biggest value in 8/9, -1, y? y Let u(p) = -4*p**3. Let i be u(1). Let d = -3.11 - -0.11. What is the fourth smallest value in 4, -1/5, i, d? 4 Let g = 13 - 19. Let k = -9 - g. Let l = 3.2 + k. Which is the second smallest value? (a) l (b) 0.4 (c) 5 b Let d = -3.1 + 2.6. Suppose -28 = 5*t + 17. Which is the second smallest value? (a) 5 (b) d (c) t b Let n = -228 - -228.3. What is the biggest value in -0.4, 0.2, n, 0.4? 0.4 Let l = -1621/18 + 175/2. Let x = -7/3 - l. Which is the second smallest value? (a) x (b) 0.03 (c) 5 (d) 2/3 a Let a = -5.14 - -6.14. Let w = 3.3 + -0.3. Let u = a + w. What is the smallest value in u, -1/3, -2/15? -1/3 Let w be -3*(3/(-18))/((-1)/4). Let i be 3 + -2*(-1)/w - 2. Which is the smallest value? (a) -2 (b) -7 (c) -0.1 (d) i b Let m = -0.06 + 0.1. Let g = 0.26 + m. Let x = -1.7 - g. Which is the biggest value? (a) 2 (b) x (c) -2/7 a Let z = -1899.9 - -1899. Which is the second smallest value? (a) 38 (b) z (c) -0.4 c Let s =
{ "pile_set_name": "DM Mathematics" }
ue? (a) 2 (b) o (c) l a Let w be 3/10 + 6/(-15). Suppose -k = -5*v - 46, 133*k + 2*v + 28 = 131*k. What is the smallest value in -3, -0.3, w, k? k Let f = 23 - 24.8. Let s = -8.82 + 3.41. Let h = s - -3.41. What is the third biggest value in h, 3, f? h Let l = 228.12 - 230.12. What is the second biggest value in -3, 0.3, -0.157, -5/2, l? -0.157 Let g = 49/111 + -4/37. Let p = 0.7 + -0.21. Let q = p - 0.19. What is the third biggest value in q, 1, g? q Let k = -2984/427 - -426/61. Let p = k + -11525/854. Let f = p - -139/10. Which is the third biggest value? (a) 0.3 (b) f (c) -0.3 c Let h = -5475 + 5473. Let x(o) = -o**2 + o - 1. Let n(c) = 7*c - 6. Let g(d) = -n(d) + 6*x(d). Let k be g(-1). What is the third biggest value in 4, k, -0.3, h? h Let z = 7937 + -7942. What is the smallest value in -18, -6, z, 1/6, -2? -18 Let z = -154 - -85. Let k = -66 - z. Which is the second biggest value? (a) k (b) 0.3 (c) -21 (d) 4 a Let k = -4.025 - -0.285. Let i = -3.54 - k. What is the third smallest value in i, 1, 0.8? 1 Let q(v) = v**2 + 33*v + 3. Let j be q(-33). Let k be j/(-6)*8/(-60)*-6. Which is the second biggest value? (a) 2 (b) k (c) 0.4 (d) -2 c Let d(f) = -f**2 - 158*f - 1346. Let h be d(-9). Let p = 0.997 - -0.073. Let q = p - 0.07. What is the third smallest value in q, 4, h? 4 Suppose 374*s + 6368 = 25068. What is the fourth biggest value in 0, -2/31, -0.1, -1, s? -0.1 Let p = -58 + -34. Let c = p + 95. What is the second smallest value in c, 12, 3/8, 0.1? 3/8 Let n = -2140 - -21399/10. What is the biggest value in -0.3, n, 0.0344, 3? 3 Let x = 0.1176 + 0.1824. Which is the biggest value? (a) 34 (b) -3/4 (c) x (d) 3/2 a Let r be (-1 - -2*1) + 27 + 5891/(-215). Which is the second smallest value? (a) 0.05 (b) -19 (c) 1 (d) -3 (e) r d Let s = 1 - 5. Suppose -4*y = -2*t - 168, 3*t = -t - 16. Let m be (12/16)/(10/y). Which is the second biggest value? (a) -3 (b) m (c) 0.3 (d) s c Let u = 13268 - 13268. What is the third smallest value in 1/3, u, 0.5? 0.5 Let t be (-18)/117*260/(-220). Which is the biggest value? (a) -2/3 (b) t (c) -4 (d) -12 b Let v = -4207 + 4202. What is the fourth biggest value in v, -4, 2, 36? v Let q = 1883 - 13184/7. What is the third biggest value in 4, q, 0.5, -1/5? -1/5 Let s = -0.04097 + -0.35903. What is the third biggest value in -0.1, -87, s? -87 Let o = -3053.2 - -3056.2. Which is the second smallest value? (a) -1.5 (b) o (c) 4/5 c Suppose 0*r - r = -10. Let t = 570 - 565. Suppose -t*o + 15 = -r*o. Which is the biggest value? (a) -2/13 (b) o (c) -3/10 a Let i be 1 - -2 - -1 - 5. Let f = -23.8 + -0.2. Let h = -26 - f. Which is the fourth biggest value? (a) 4 (b) i (c) h (d) 0.1 c Let o = 4 + -2. Let u = 229.66 + -229.28. What is the third biggest value in 4, o, -2/11, u? u Let a be 6/14 - (-35290)/140. Let l = 253 - a. What is the second smallest value in -3, -8, l, -1/3? -3 Let l = 6.4 - 7.4. Let n be (-42)/(-6) + 144/(-16). Which is the third biggest value? (a) n (b) l (c) 1 (d) 10 b Suppose 3*m - 245*n - 6 = -240*n, 0 = -3*n - 9. What is the fourth smallest value in m, -0.4, 2/15, 0, 3? 2/15 Let r = 31 - 34. Let t be (-3)/(40 + 2)*(-1876)/134. What is the fourth biggest value in 2/7, -0.7, t, r? r Let a = -45 + 44.1. Let i = a - -2. Let u = 4.1 - i. What is the smallest value in -1/2, u, 2/15, 0.2? -1/2 Let w = 38962.5 + -38962. What is the third smallest value in 19, -71, w? 19 Let s = 18.65 + 6.05. Let m = s + -24.692. What is the second smallest value in m, -4, 1/3, -5? -4 Let y be 0 + -8 - (-4 - -1). Let j be ((-2)/y)/(-1 - (-149)/150). Let w be (2/j)/(30/(-75)). Which is the third biggest value? (a) 0.5 (b) 1 (c) w c Let m(d) = -d**2 - 8*d + 120. Let w be m(23). Which is the second biggest value? (a) -1/4 (b) w (c) -0.3 c Let r = -0.02 - -4.12. Let s = 1.9389 - -0.0761. Let m = s + -0.015. What is the biggest value in 2/3, m, r? r Suppose 5*s = 2*j + s - 10, 2*j + 18 = -3*s. Let v = -13/198 - 371/660. Let l = v - -1/36. Which is the smallest value? (a) j (b) -4 (c) l b Let r be (12/81)/(6/9). Let c = 11.967 + -8.967. What is the fourth biggest value in -2, r, c, -10? -10 Let a = -130.4428 + -0.5072. Let p = a - -131. What is the second biggest value in 2, 0.5, p, 5? 2 Let h = -130241 + 130254. Suppose 0 = -4*p + 2 + 10. Suppose 5*b - 5*l + 35 = 0, p*b = 5*b - 4*l + 24. What is the second biggest value in 2, h, b? 2 Let l = -10.1 + 9.9. Let z = -73 - -75. Which is the third smallest value? (a) z (b) l (c) -1/11 (d) 5 a Let u = 4706 + -4698. Which is the second smallest value? (a) 0.5 (b) -2 (c) 7 (d) u a Let m = 271/581 - 15/83. Let l = -5 - -3. Let w = 1 + l. Which is the third smallest value? (a) w (b) m (c) 0.03 b Let i = -11470.9 - -11471. Suppose -h - 3 = -8. Suppose -x + 4*q = 5 + 8, q = -x - 3. Which is the third smallest value? (a) h (b) x (c) -1/3 (d) i d Let u = 112 + -112.4. Let i = -559/5 - -1123/10. What is the second biggest value in -6, -5, u, i? u Let h = 481/10 - 48. Let b = 9.1 - 9.6. What is the biggest value in -1/3, b, h, -0.45? h Let c be 1536/121920*(-10)/(-4). What is the second smallest value in 5, 1/4, c? 1/4 Suppose n + 10 = -0*n + 5*q, 2*n - 25 = -5*q. Let w be 2/16 - (2261/168)/17. Which is the fourth biggest value? (a) -2/7 (b) 2/9 (c) w (d) n c Let p = 15.246 + -13.346. Which is the second biggest value? (a) -3/5 (b) -0.031 (c) p b Let o = 6283.851 + -6288. Let c = -0.051 + o. Let w = -4.18 - c. What is the third biggest value in -4, w, 4? -4 Let v = 4410.3 + -4411. What is the second biggest value in v, 7, 0.4? 0.4 Let a = 23 - 40. Let w = -15 + a. Let n = 31 + w. What is the second smallest value in -2/11, n, -6? n Let k = 1906 + -1905. What is the third smallest value in 0, -16, 7, k? k Let f be (20 - 4427/209) + 1. Let x = -0.05 + 0.35. Which is the biggest value? (a) -3/5 (b) x (c) f (d) -5 b Let j = -3.52 + 58.52. Let v = j - 55.07. Let p = -0.6 - 0.4. What is the third biggest value in p, 0.5, v, -5? p Suppose -3*w + 12*w = -297. Let b be 7/(35/(-2))*(-110)/w. What is the third biggest value in b, 1, -32? -32 Let j be -4 + 2*(-76)/(-40). Let u = 1.68 - 1.78. What is the biggest value in -2/11, -5, j, u? u Let f = -0.05 - 3.95. Let r = f - -3.5. Let q = 290.67 + -290.57. What is the third smallest value in 5, q, 3, r? 3 Let j = 0.0423 + 5.9577. Which is the second smallest value? (a) j (b) 0.15 (c) -0.1 b Let i = -3361 + 3362. What is the fifth biggest value in 5, i, -1/13, -2, -0.1? -2 Let z = -7 + 7.02. Let y = 4762 - 33338/7. Which is the smallest value? (a) y (b) -0.02 (c) z a Let f be (-6)/(0 - -2)*18/27. Let l = -695 - -694.7. Which is the third smallest value? (a) -0.03 (b) f (c) l a Let y = 1.95 - -0.05. Let l = 2.43464 + -0.03464. Let n = y - l. What is the second smallest value in n, 0, 4? 0 Let j = 0 - 4. Let g = 417338/11 + -37940. Which is the fourth biggest value? (a) 2 (b) 0.5 (c) g (d) j d Let d = 6.325 - -0.085. Let w = -6.3 + d. What is the second biggest value in w, 5, -1/2? w Let u = 16313 + -65229/4. Which is the third smallest value? (a) u (b) 5 (c) 0.2 (d) -1 (e) 0.1 c Suppose 3*j = -160*y + 157*y - 39, -3*y - 33 = -3*j. What is the second smallest value in y, -1/5, 0.3? -1/5 Let z = -1/9539 + -57229/47695. What is the third biggest value in 1, z, -4/25? z Let x = 0.139215 - 7.139215. Let c be ((-2)/5)/((-16)/12). What is the second smallest value in c, x, 0.2? 0.2 Let y = 0 + 0. Let r = y - 0.2. Let x = 0.285 + -0.685. What is the second biggest value in -4, x, r? x Let k = 31881 + -31886. What is the third smallest value in -10, k, -96, -1? k Let y = -31014 - -31018. What is the second smallest value in y, 113, 1/6? y Suppose 36 = 3*d + 3*o, 2*d + 2*d - o - 63 = 0. Suppose d*q = 11*q + 72. Let k be 12/8*(-3)/q. Which is the second smallest value? (a) 3/4 (b) 5 (c) k a Let m = -1.2 - -1.11. Let t = 0.11 - m. Let i = -124.4 + 124.1. What is the fourth biggest value in -2/9, i, t, 0.4? i Let s = 2/31 - -21/155. Let h = 2.6 - -1.5. Let x = h + -4. Which is the third smallest value? (a) s (b) x (c) 2 c Let g = -1256 - -1259. Which is the biggest value? (a) 5/4 (b) g (c) 4 (d) 26 d Suppose 309*u = 313*u + 20. Let v be (u + (-4)/(-1))/(-4 - -3).
{ "pile_set_name": "DM Mathematics" }
ve -10025*g + 9575*g - 17100 = 0 for g. -38 Solve -39*d + 238 - 52 = 72 + 75 for d. 1 Solve -3014*g - 3707*g - 20525 + 7706 = 14065 for g. -4 Solve -862 = -646*d - 20*d - 10 + 1146 for d. 3 Solve -3876*v - 118857 = 152463 for v. -70 Solve 199*r = 1120*r + 1888*r + 1685*r + 17976 for r. -4 Solve 579036 = 6168*a + 48588 for a. 86 Solve 0 = -123*q - 3907212 + 3915699 for q. 69 Solve -687*n = 10109 + 11188 for n. -31 Solve -682*g - 5278 + 11218 = -13156 for g. 28 Solve 0 = 409*c + 8838691 - 8835828 for c. -7 Solve 0 = 431*j + 206*j - 15811 - 751 for j. 26 Solve 1007*d - 2*d + 29 = 3044 for d. 3 Solve 388*q + 525*q - 56 = 941*q for q. -2 Solve 0 = -201*f + 4841*f + 116000 for f. -25 Solve 479*g = -674 - 3158 for g. -8 Solve -1974*j - 3299 = 11372 + 52445 for j. -34 Solve -195*z + 1169*z + 27714 = -19283 - 11443 for z. -60 Solve 2075 - 759 = 75*x - 259 for x. 21 Solve 304*k + 1543*k - 89182 = -776*k for k. 34 Solve 29179 - 192332 - 4756 = 2023*d for d. -83 Solve -211*o + 57122 = 51636 for o. 26 Solve -297900 = -5209*z - 821193 - 226803 for z. -144 Solve 124*g + 30912 = -545*g - 435*g for g. -28 Solve -55810*u + 52855*u = -180255 for u. 61 Solve -186*g = -92*g - 378*g + 11644 for g. 41 Solve 1857*u - 929 = 12239 + 7964 + 82860 for u. 56 Solve -49*p + 16792 = 42*p + 4234 for p. 138 Solve 2122*z + 27946 = -3884 for z. -15 Solve -34*d + 39*d + 8468 = -62*d - 49*d for d. -73 Solve 1139*k = -1592*k + 594*k + 9146 - 51886 for k. -20 Solve -72*o = -328*o - 1698*o - 158274 for o. -81 Solve 227201*b + 4441 = 227090*b - 887 for b. -48 Solve 0 = 11194*z - 58622 + 335054 + 227298 for z. -45 Solve 0 = 100*c + 2054 + 1046 for c. -31 Solve 496 = 1656*l - 6485 - 7923 for l. 9 Solve -2608660*w + 2608673*w + 260 = -273 for w. -41 Solve -516176 + 518794 = -154*l for l. -17 Solve -33825 + 53003 = -2290*t - 113642 for t. -58 Solve 53816*u - 53885*u - 138 = 0 for u. -2 Solve -19 + 10 + 4 + 5 = 24*f for f. 0 Solve -98*m - 26110 - 7210 = 242*m for m. -98 Solve -1517*x + 75089 + 3795 = 0 for x. 52 Solve 195684*c - 196880*c - 145912 = 0 for c. -122 Solve -2003*q - 18389 = 48125 - 20445 for q. -23 Solve -142*b + 9880 = 155*b + 51*b - 88*b for b. 38 Solve 2925*s + 224168 = -94657 for s. -109 Solve 2468*a - 510*a - 39970 - 12614 = 10072 for a. 32 Solve 5297*s = -288*s - 238887 - 140893 for s. -68 Solve 364*t - 43193 = -555*t for t. 47 Solve -932*p - 113*p = -374*p + 4697 for p. -7 Solve 229*z + 272*z + 12258 = -33333 for z. -91 Solve 20237 - 44962 = 1269*d + 42050 + 39821 for d. -84 Solve -9766*w + 9795*w + 237 = -343 for w. -20 Solve 0 = -2*j - 37*j - 30*j + 966 for j. 14 Solve -191 - 2776 = 43*f for f. -69 Solve -168*v + 289 + 6767 = 0 for v. 42 Solve 935*y - 1779*y - 1269*y - 147910 = 0 for y. -70 Solve -1177*b + 532*b + 1298*b = -5038*b + 39837 for b. 7 Solve 9768*n = -305383 - 273909 - 84932 for n. -68 Solve -117*x - 306*x = 2871 + 9396 for x. -29 Solve -284*d + 15810 - 2155 = -10769 for d. 86 Solve 19013 = -279*r + 195*r - 289*r + 3347 for r. -42 Solve 159*j = -600*j + 218 - 4772 for j. -6 Solve 0 = -5476*g + 732*g + 33208 for g. 7 Solve 379*n - 5038*n = 186360 for n. -40 Solve 0 = 346*y - 598*y + 2268 for y. 9 Solve -3404 = -8*k - 4100 for k. -87 Solve -355*f - 530*f = 245*f - 35030 for f. 31 Solve -4327*t + 5064*t + 11814*t - 581385 = 648613 for t. 98 Solve 3950*w + 187 = 8144*w - 4028*w - 477 for w. 4 Solve 1329*y = -1242*y + 2315*y - 15104 for y. -59 Solve -9511*k - 193858 - 486448 + 111932 = 582457 for k. -121 Solve -288*h + 1453 = -5085 - 8150 for h. 51 Solve -169835*q - 1275 = -169886*q for q. 25 Solve -74312*t + 74502*t = 4180 for t. 22 Solve 2528*d - 39928 - 30856 = 0 for d. 28 Solve 760*b - 340315 + 129693 = -3214*b for b. 53 Solve -154*t + 49*t = 131*t + 9440 for t. -40 Solve -1294*n - 9304 = 23*n - 47497 for n. 29 Solve 5090 - 11190 = -122*g for g. 50 Solve 311782*j - 311632*j - 12300 = 0 for j. 82 Solve 4*w + 17*w - 28 + 889 = 0 for w. -41 Solve 3*w = 294*w - 2801*w - 35140 for w. -14 Solve 2487*x - 135 = 1240*x + 1220*x for x. 5 Solve 1120*x - 1191*x - 39064 = 1985*x for x. -19 Solve -3955*n = 14677*n - 4185*n - 130023 for n. 9 Solve -4243 = -237*l - 11944 - 12075 - 132 for l. -84 Solve 11638 + 110379 = 2067*d - 37142 for d. 77 Solve -736328*w = -736585*w - 11565 for w. -45 Solve 24*r + 408 = 95*r + 31*r for r. 4 Solve 37 = -102*d - 190 - 161 + 184 for d. -2 Solve -42*v + 2247 + 1297 = 46*v - 4464 for v. 91 Solve -5945 = -1386*c - 114053 for c. -78 Solve -2016*i = 75370 + 47606 for i. -61 Solve 85*f - 66865199 = -66855509 for f. 114 Solve 3*w - 5280 = 7*w - 35*w - 57*w for w. 60 Solve 189*g + 1617 + 4106 = -2782 for g. -45 Solve 0 = 36*j + 33*j + 27*j - 19*j + 4158 for j. -54 Solve 6*i - 1368 = -25*i - 3*i + 72*i for i. -36 Solve 1200034 - 1200438 = -101*c for c. 4 Solve 219*p - 9520 = -332*p + 75*p for p. 20 Solve 1149*w + 187 = -309 - 1802 for w. -2 Solve 0 = -474*l + 128*l + 4152 for l. 12 Solve 0*n = 775*n - 3810 - 6263 - 9302 for n. 25 Solve -107*p + 248 + 0 = -3069 for p. 31 Solve -4638*k + 464082 = 120870 for k. 74 Solve -247*n = -2133 + 1403 - 2611 - 5551 for n. 36 Solve 2157*y + 2140*y = 4310*y + 104 for y. -8 Solve -634*d = 1016*d - 56037 - 16563 for d. 44 Solve 52*r + 281*r + 264*r = 149*r - 13440 for r. -30 Solve 495*k = -7739 - 8596 for k. -33 Solve -190*z = 445*z + 488*z + 5615 for z. -5 Solve -2407464*t = -2407455*t - 477 for t. 53 Solve -95504 = 5532*g + 7017*g + 519397 for g. -49 Solve 1479921*b = 1479524*b + 25011 for b. 63 Solve 2164*l = 92493 + 28691 for l. 56 Solve 15520*k + 269166 + 63730 = 12224*k for k. -101 Solve -35665*h + 11504*h - 106808 = 1077081 for h. -49 Solve 31*k + 3 - 171 = -974 for k. -26 Solve -88*l - 54171 = -50739 for l. -39 Solve -292*k = 1068*k + 51680 for k. -38 Solve -141777 = 5586*k + 126351 for k. -48 Solve 3839*q - 730*q = -2744*q - 861*q + 167850 for q. 25 Solve -29*c - 392 = 43*c - 125*c + 25*c for c. 14 Solve 4240*j + 6154*j + 463905 = 2789*j for j. -61 Solve -323*t + 584*t + 1492 + 2278 = -493*t for t. -5 Solve -n - 62354 = -58*n - 63836 for n. -26 Solve 4559*m - 18678 + 96693 = 844*m for m. -21 Solve 4981*v + 593470 = -2001*v for v. -85 Solve -460156 = 298*d - 7065*d for d. 68 Solve 11420 - 21873 = -1303*k + 29960 - 6535 for k. 26 Solve -126*t - 2723 = 689 + 1428 - 52 for t. -38 Solve 0 = -250627*l + 250695*l - 408 for l. 6 Solve -3975*k = -102476 - 6170 - 17780 - 28599 for k. 39 Solve 231*q + 234*q = 1583 + 16087 for q. 38 Solve 22345 + 27331 + 1359 = -324*k + 9887 for k. -127 Solve -346021 = -12022*p + 3975*p for p. 43 Solve 7*y + 113*y - 1562 = -45*y + 2233 for y. 23 Solve -515 = -363*n + 78*n - 230*n for n. 1 Solve -87 = 109*i - 762 + 181 - 1904 for i. 22 Solve 324*w + 413*w + 32274 = -505*w - 551*w for w. -18 Solve 26*a - 5166 - 7363 = -161*a for a. 67 Solve -63*s - 130*s + 2875 = -308*s for s. -25 Solve 50*r + 40702 - 36802 = 0 for r. -78 Solve -20379 = 708*n + 36261 for n. -80 Solve 2*f = -249*f + 1050 - 3871 - 9980 for f. -51 Solve 7651*z + 1241 = 7545*z - 3317 for z. -43 Solve 439*y + 374*y = -361*y + 1100*y + 4810 for y. 65 Solve -75*o - 79 = -179 - 3 - 47 for o. 2 Solve 149*d + 12891 = 19149 for d. 42 Solve 0 = -610*x - 188*x - 52026 - 6228 for x. -73 Solve 22078 + 7626 + 11101 + 1630 = -2829*i for i. -15 Solve -5462*x - 18625*x - 155507 = 2912*x + 1140445 for x. -48 Solve 3081*g + 57780 + 39129 = -7338 - 65208 for g. -55 Solve 356*o + 627*o - 139*o = -746*o - 89040 for o. -56 Solve 3092*k - 2994*k = 980 for k. 10 Solve 865*p + 3044*p - 42983 = 32404 + 84882 for p. 41 Solve 363055 = 9051*u - 306449 - 244647 for u. 101 Solve 19*b - 287 = 41*b + 19*b for b. -7 Solve -640*g = 1254*g - 45669 - 62289 for g. 57 Solve 612*g + 5080 = -404*g for g. -5 Solve 16*g + 22*g - 72*g - 570 = -28*g for g. -95 Solve -310*n - 97*n + 465*n + 452*n = -328*n for n. 0 Solve 25951*r + 3234 = 25909*r for r. -77 Solve -4464*s - 112*s - 177280 = -144*s for s. -40 Solve 0 = -153*y - 10465 + 4192 for y. -41 Solve -241*v - 267922 = -239725 for v. -117 Solve 663 + 1142 = 46*u - 357 for u. 47 Solve 239*m + 2935*m - 1115*m = 250*m + 95877 for m. 53 Solve -9428*r = 4032*r + 738287 + 203913 for r. -70 Solve -122*j - 8086 - 3794 = 279*j - 137*j for j. -45 Solve -2306*d + 68996 + 36011 = -21823 for d. 55 Solve 49*s = 137*s + 2811
{ "pile_set_name": "DM Mathematics" }
Let j(t) = 10 - 118*t - 6 + 302*t - 4 + 6. Does 37 divide j(6)? True Let j(a) = -1349*a - 8477. Is 3 a factor of j(-10)? True Suppose 4 = -2*d, d + 882 = -10*f + 11*f. Does 16 divide f? True Let f(m) = -m**2 - 12*m. Let r be f(-12). Let p be 20/(-5) - (r + -4). Suppose h + 2*d + 26 = 75, p = 2*h + 3*d - 95. Is 10 a factor of h? False Let p = 2060 + -1530. Is 8 a factor of p? False Let u = -728 - -408. Suppose -3*h - 54 = -2*z, 3*h + 43 + 11 = z. Is 12 a factor of 12/h - u/3? False Suppose -2*h = j - 1028, -j + 1021 = -40*h + 41*h. Does 2 divide j? True Let x(t) be the first derivative of -26 + 9/2*t**2 + 5/3*t**3 - 14*t. Is 6 a factor of x(-5)? True Suppose 45 = m + 3*r, 3*r - r = m - 35. Suppose -43*q + m*q + 704 = 0. Is 6 a factor of q? False Suppose -5*m = 3*y - 3127, -7*y = -4*y - 4*m - 3082. Does 47 divide y? True Suppose 17*u + 6 = 20*u. Suppose -3*w + 5 = 8. Is 14 a factor of (7 - 47)*w*u + 0? False Suppose 12*j - 4970 = 7*j - 5*m, 2*m = 2*j - 1960. Is j a multiple of 31? False Let s(n) = -4790*n - 3948. Is 213 a factor of s(-5)? False Let z(i) = -i**3 + 37*i**2 - 25*i - 391. Is 67 a factor of z(30)? True Suppose 0 = -5*d + 3*h + 17581, -61*d + 58*d = -3*h - 10545. Is d a multiple of 13? False Let g(q) = 11*q - 85. Let w be g(16). Suppose 55 = -2*x + w. Is 9 a factor of x? True Let u(q) = -q**3 - 8*q**2 + 23*q + 33. Let z be u(-10). Suppose 5*n = 3*r - 482 + 97, -5*r + z*n = -615. Is r a multiple of 11? False Let a(w) = w**2 + 5*w + 13. Let z(j) = 2*j**2 - 7*j - 137. Let q be z(10). Is a(q) a multiple of 13? False Suppose 5*x = 2*b + 31, -4*x + 60 = -3*b - x. Suppose t + 3*t = -156. Let k = b - t. Is 8 a factor of k? True Let l(j) = 401*j + 226. Let m(d) = 80*d + 45. Let c(z) = 2*l(z) - 11*m(z). Let o be c(-12). Suppose -68 = 5*t - o. Does 8 divide t? False Suppose -2*c + 4*a + 1123 = -2309, -c + 1707 = -5*a. Is c a multiple of 14? True Let p(j) be the third derivative of j**4/8 + 299*j**3/6 + 22*j**2. Is 14 a factor of p(17)? True Suppose -2*l + 36*a = 33*a - 4308, 0 = -4*l - 3*a + 8598. Does 19 divide l? False Let p(k) = -52 + 0*k + 15 - 11*k + 9*k. Let w be p(-16). Let t(j) = j**3 + 7*j**2 + j - 3. Is 10 a factor of t(w)? False Suppose 2*p = i + 1650, -2466 = -3*p - 860*i + 857*i. Is 10 a factor of p? False Suppose 133 = 17*i - 377. Suppose -i*x = -22*x - 312. Is x a multiple of 18? False Suppose -28 - 12 = -b - 5*z, -12 = -3*z. Suppose -t + b = 4*h, 7*h + 2*t - 12 = 6*h. Suppose h*v + 188 = 6*v. Is v a multiple of 11? False Let q(a) = a - 6. Let r be q(11). Suppose s - r*z = 12, s + 4*z = 3*z. Suppose -s*g + 8 = 2*g. Is g even? True Is ((-160)/20 + (-76575)/(-10))*2 a multiple of 58? False Let h = 110060 - 8780. Is h a multiple of 16? True Let w(v) = -v**3 + 10*v**2 + 2*v - 15. Suppose -4*x + 18 = u, -5*u = -u - x - 72. Suppose 4*f = -4*z + 52, 4*z - u = -6. Does 2 divide w(f)? False Suppose 5*o - 2184 = -444. Let k = 591 - o. Let a = k - 87. Is a a multiple of 13? True Let q(o) = -2*o**3 - 7*o**2 - 2*o - 6. Let s be q(-4). Let y be (-28)/(-126) + 3236/s. Does 5 divide (-4)/6*y/(-24)? True Let a = -256 - -256. Suppose a*v + 225 = v. Is 15 a factor of v? True Suppose -3*d = -4*t + 49465, -2 = 3*d + 7. Does 11 divide t? True Suppose 244965 = 14*b - 46571. Is 152 a factor of b? True Let u be (-90)/(-20) - (-1)/2. Suppose l - u*d - 444 = 0, l - 465 = -d - 39. Is 5 a factor of l? False Let r = 414 + -410. Is 31 a factor of (-6 - (0 - r))/((-24)/1164)? False Let q(b) = -12*b + 52. Suppose 2*x + 74 - 90 = 0. Let s be q(x). Let a = 84 - s. Does 13 divide a? False Let x(l) = l**3 + 18*l**2 - 17*l + 16. Let a be x(-11). Suppose 0 = -27*g + 22*g + a. Does 35 divide g? True Suppose 6 = -81*t + 75*t. Does 11 divide (10/(-3))/t*(-8 - -41)? True Suppose 22850 = 19*u - 21325. Is 35 a factor of u? False Suppose 8739 = 4*i + 5*i. Suppose -2829 - i = -10*y. Does 19 divide y? True Let m be (-2)/11 + 3*(-24)/(-33). Suppose 1003 = m*o - 5. Is o a multiple of 56? True Let g(x) = 2*x**3 - 14*x**2 + 172*x - 1740. Is g(12) a multiple of 4? True Suppose 0 = -4*a - 3*j + 22377, -13*a - 27977 = -18*a + 2*j. Is a a multiple of 31? False Suppose -5*i + 3*g = -200574, i - 40133 = -36*g + 34*g. Is 311 a factor of i? True Let p(s) = 5*s**3 - 125*s**2 - 2*s + 29. Let z be p(25). Let t = 49 - 112. Let g = z - t. Is 5 a factor of g? False Suppose 9*m + 6584 = 11*m - 2*y, 0 = 3*m + 4*y - 9904. Is m a multiple of 16? True Let t(m) be the second derivative of -m**4/12 - 13*m**3/6 - 19*m**2/2 + 30*m. Let p be t(-11). Suppose 0 = -p*a + 26 - 8. Is 6 a factor of a? True Let p(x) = x**3 - 2*x**2 - 3*x - 6. Let o = -47 - -70. Let q = -17 + o. Does 20 divide p(q)? True Does 110 divide (-3)/(-2*(-4)/(-6176)) - 6? True Let b be 1*-9 + (-4)/4. Let x be 14*(-3 - (-35)/b). Let l = x + 155. Is 8 a factor of l? True Suppose 116*w - 260057 + 50793 = 0. Does 22 divide w? True Does 29 divide 4/(-92) - ((-7563864)/322)/6? True Let w = 7110 - 1839. Does 62 divide w? False Let x(f) = -5*f - 70. Let d be 2*8*(7/2 - 5). Does 16 divide x(d)? False Suppose 93060 = 26*h + 35*h - 51*h. Is h a multiple of 47? True Let u(o) = -2*o**2 + 25*o + 26. Does 3 divide u(9)? False Let l(v) = -16*v**3 + 3*v**2 + 2*v. Let y be l(-1). Let r(q) = 8*q + 10. Is 21 a factor of r(y)? False Suppose 269*u = 277*u + 1472. Let d = -104 - u. Is 16 a factor of d? True Suppose 13*i + 32466 = 265002 + 288998. Is 54 a factor of i? False Is 256 a factor of 217731/(-12)*(-144)/36*(0 + 1)? False Let j(m) be the second derivative of m**3/6 + 68*m**2 - 439*m. Let i be (0 - 0 - 0)/2. Is j(i) a multiple of 34? True Let k(y) = 34*y**2 - 15*y - 1000. Is k(-16) a multiple of 8? True Does 83 divide (-224)/(-64) + 6876/8? False Suppose 0 = 6*c + 228 + 270. Suppose -113 = 2*k + k - 5*x, 3*k + 89 = -x. Let j = k - c. Does 5 divide j? False Is (-16)/(-3)*2625/28 - 5 a multiple of 10? False Let q(a) = -4*a + 14. Let n be q(5). Is (-1)/1*51/n*2 a multiple of 13? False Let m = 126 + 191. Let q = -262 + m. Does 5 divide q? True Let h = -4031 - -4643. Does 4 divide h? True Let u be 28/15 + (18/135)/1. Let n(o) = -o**3 + 1120. Let r be n(0). Suppose -5*a - u*a = -r. Is 20 a factor of a? True Let k(c) = -6*c**3 + 4*c**2 + 2*c. Let m be k(-3). Let v = 252 - m. Does 20 divide v? True Suppose 0 = -2*p + 2*i + 5698, -4*p + 9127 = 5*i - 2305. Does 9 divide p? True Let s(z) = z**3 - 17*z**2 + z - 1. Let o be s(17). Let l = o + -14. Suppose 2*w + 3*p = 116, 3*p = 2*w - l*p - 148. Is 16 a factor of w? True Let x(q) = 49*q + 615. Does 65 divide x(53)? False Let s = 37 + -45. Let j = -8 - s. Suppose 0 = -4*h - 4*k + 156, -5*k - 120 = -j*h - 4*h. Is h a multiple of 7? True Suppose 5722*l = 5712*l + 99410. Is 77 a factor of l? False Let a = 1 - 3. Let k be 3/(27/a) - 10/(-45). Suppose k = 6*x - 1496 - 814. Does 55 divide x? True Let f(h) = 14*h**2 - 12*h + 28. Let q be f(2). Is 3/5 - (-31704)/q a multiple of 11? False Suppose -4*u + 3*p + 285 = 0, -u - 2*p = -39 - 46. Suppose 1 = a + 6, 3*a = 2*t + u. Let q = t + 93. Is 6 a factor of q? True Suppose -182*a + 198*a - 35152 = 0. Is a a multiple of 52? False Let r(p) = p**3 - 8*p**2 + 15*p - 6. Let s be (-63)/18*(-12)/21. Suppose -v = -s*v + 8. Does 10 divide r(v)? False Let y(v) = -8 + 3 - 6*v + 4 - 2*v. Let q be y(3). Let d = q - -39. Does 7 divide d? True Suppose -24*d + 45028 = -90236. Is d a multiple of 19? False Suppose 1982 = 8*p - 162. Suppose j - p = k - 63, 4*k - 398 = -2*j. Is j a multiple of 8? False Suppose 0 = 47*i - 74*i - 11124. Is 37 a factor of (i/14)/((-11)/308)? False Suppose 3*o + 1311 = 3*r, -1490 = -4*r - o + 258. Does 7 divide r? False Let n(s) = 1437*s**3 - 10*s**2 + s + 8. Is n(2) a multiple of 39? True Let c be ((-8)/16)/(1/(-2)). Let u = 15 + c. Suppose y - u = -2*b, 0*y - 4*y = -8. Is 7 a factor of b? True Let g be (-37 - -38)*(0 - 3 - 1). Let j(r) = -r**2 + 9 - r**2 + 6*r**2. Is j(g) a multiple of 19? False Suppose -8*i - 26*i = -1360. Suppose 0 = -i*t + 7*t + 34848. Does 15 divide t? False Suppose 37*q = -12*q + 1329615. Is 67 a factor of q? True Suppose -3*d = 69 - 3. Let g = 93 - d. Let o = g - -12. Is 20 a factor of o? False Let w(g) be the third derivative of -g**6/120 + g**5/20 + g**4 - g**3/2 + 167*g**2. Is w(6) a multiple of 2? False Suppose -4*a = -2838 + 918. Suppo
{ "pile_set_name": "DM Mathematics" }
alse Which is smaller: 960 or 540? 540 Is 0 > -187? True Is 4156 not equal to 4152? True Is -159/16 at least -10? True Which is greater: 29409 or 29406? 29409 Do -1 and -3/207562 have the same value? False Which is bigger: -1155586/3 or -385195? -385195 Which is bigger: -830 or 5? 5 Do -5/475092 and 0 have the same value? False Which is greater: -2/1924801 or -1? -2/1924801 Is -119/5 not equal to -223? True Is 1920563 at least 1? True Which is smaller: -3989449 or -3989450? -3989450 Is -33.379 < 1/28? True Is -2 > -13/199? False Is 259140 < 1? False Which is bigger: -425357/24 or -17724? -425357/24 Are -8615 and -8604 unequal? True Which is smaller: 7775 or 0.02? 0.02 Are 293 and -74 nonequal? True Is 19755/17 at least as big as 1163? False Is 0 less than 59/802? True Is 1 < 39/149? False Is -5916.9 < 0.1? True Which is smaller: -454/81 or -7? -7 Is -42203 at most as big as -42163? True Is -48112/3 > -16038? True Which is greater: -60666/241 or -252? -60666/241 Which is bigger: -315957 or 2/17? 2/17 Which is bigger: -449 or -584? -449 Is -442 less than or equal to 1/24? True Which is smaller: 24213 or 24214? 24213 Which is bigger: 231496/13 or 17808? 17808 Are 34198 and 34225 nonequal? True Which is greater: -300/13649 or 1? 1 Which is smaller: 681 or -15? -15 Is -1 > -6/5568029? False Which is smaller: 61609/51 or 1208? 1208 Which is bigger: -0.12 or -56228? -0.12 Is 1 less than -1/15296686? False Which is smaller: 1 or 10/20177? 10/20177 Which is smaller: -11 or -75? -75 Which is smaller: -0.3 or 262335? -0.3 Which is bigger: 1 or -2/542333? 1 Which is greater: 1922 or 1946? 1946 Which is bigger: -1 or -64/39301? -64/39301 Is 609453 greater than or equal to 609452? True Which is smaller: 336 or 3196? 336 Which is smaller: -869522 or -869521? -869522 Are -133 and -42/17 nonequal? True Which is bigger: -28/153 or 10? 10 Is 2909821 greater than 2909821? False Which is greater: 1 or -1/61152? 1 Which is smaller: -7/6509 or -0.1? -0.1 Which is smaller: -6214 or -6040? -6214 Is 297950 greater than 297951? False Which is smaller: 1121/2 or 562? 1121/2 Are -7235044 and -7235044 equal? True Which is bigger: -252236 or -252232? -252232 Is 36/13 >= 2/153? True Is -2/1665 bigger than -3.5? True Which is bigger: 413410/9 or 45933? 413410/9 Are 0 and 22/6683 equal? False Is -1 < 191883/22? True Is -44 > 788? False Which is bigger: 628 or 38? 628 Which is smaller: -33 or -71/196? -33 Are -105701 and -105703 nonequal? True Which is smaller: 110321 or 110314? 110314 Which is bigger: 14 or 2216/175? 14 Are -115530 and -115553 equal? False Is 0 equal to -37/56575? False Which is bigger: -69/1348 or 1? 1 Which is bigger: -0.2 or 6699? 6699 Which is smaller: -707/3 or -109? -707/3 Is -4016 >= -4/17? False Which is bigger: 10139 or 172371/17? 172371/17 Is 198245 at most as big as 198258? True Which is smaller: -7864/23 or -3? -7864/23 Which is smaller: -36117 or -36119? -36119 Which is greater: -1245 or -1299? -1245 Is 1 greater than or equal to -28/18005? True Is 27935 equal to 27936? False Which is smaller: 207/193 or 3? 207/193 Which is greater: 0 or 6/3137? 6/3137 Which is bigger: -2579 or -64473/25? -64473/25 Which is smaller: -533805 or -533804? -533805 Are -54628 and -54625 unequal? True Are -1681 and -1177 equal? False Is -40558 < -40556? True Is 1 greater than or equal to 5010207? False Is -69834 less than -69834? False Is -21.9708 less than or equal to -9? True Which is smaller: -41842 or -251057/6? -251057/6 Which is greater: -1053056 or -1053055? -1053055 Is 0.1 less than -13.9227? False Which is greater: -1/143 or 25.6? 25.6 Which is bigger: -2/3376545 or -1? -2/3376545 Is 178393 <= 178378? False Which is smaller: 0 or -8/15749? -8/15749 Is -2/23 at most as big as -629? False Which is greater: -106016 or -106020? -106016 Which is bigger: 6676 or 142? 6676 Which is smaller: -18.0723 or 2/7? -18.0723 Which is smaller: 1 or -1/31031? -1/31031 Which is greater: 7 or 62877? 62877 Is -368454 > -368453? False Which is smaller: 1/4 or 1962? 1/4 Which is greater: 1 or -1/109494? 1 Which is bigger: -17/16145 or 0? 0 Is -2/15 greater than 154.87? False Is -80467 bigger than -80466? False Is 9/109966 less than 1? True Is -2/3 bigger than -31123? True Is 1 not equal to -2/4697275? True Is 32723 smaller than 32724? True Which is smaller: 3314 or 3152? 3152 Which is smaller: 16 or -41619? -41619 Is 229057 >= 229058? False Do 117948 and 117947 have different values? True Does 0 = 6/110267? False Does 4.77 = 156? False Is 1/4514 smaller than -1? False Is -34274 <= -34279? False Is 1777 not equal to 1787? True Are 2990030 and 2990032 non-equal? True Which is smaller: 1 or 10.218? 1 Which is smaller: -3/278486 or -1? -1 Is -92114 <= -92118? False Is 2 > -840919? True Which is smaller: -23747/373 or -65? -65 Is -27043 bigger than -27043? False Is 1 <= -4/181? False Is 16/233813 <= 1? True Is 0.1 >= 225461/4? False Which is smaller: -447 or -0.2888? -447 Is -150 >= -2052? True Is 0.1 bigger than 3/161630? True Which is bigger: -2 or 12346? 12346 Which is greater: 1443/958 or 2? 2 Which is smaller: 22095 or 22096? 22095 Is -65794 not equal to -65796? True Which is bigger: 15667 or -4/3? 15667 Is -21308 at least as big as -21306? False Is -177 at least as big as -775/3? True Is -4 less than or equal to 594911? True Is -1 greater than or equal to -72/23813? False Do -253401 and -253385 have the same value? False Which is smaller: 2580 or 2066? 2066 Which is greater: -136 or 0.2096? 0.2096 Are -294297 and -6 non-equal? True Is -119.2 > -204? True Is 0.05 bigger than -0.0517? True Which is smaller: -0.177 or -14244? -14244 Is 0 >= -378/439? True Which is smaller: -1674 or 0.3162? -1674 Is 25895 less than or equal to 25894? False Which is smaller: 0 or -7/6094? -7/6094 Is -6179 equal to 312? False Which is smaller: 3164.41 or 7? 7 Is 13504/41 at least as big as 329? True Which is smaller: 1/4 or -5854/197? -5854/197 Which is smaller: -1 or -28/29179? -1 Which is smaller: 14.2 or 515/2? 14.2 Which is smaller: 1 or 1/936165? 1/936165 Which is smaller: -319642 or -319643? -319643 Which is smaller: 437 or -8/61? -8/61 Which is bigger: -49130 or -49131? -49130 Which is greater: 0 or -2/386783? 0 Is -6776 > -1/6? False Is 4566/73 smaller than 3/4? False Are -1 and 1734/5309 nonequal? True Which is smaller: -0.62 or -11048? -11048 Which is greater: -2026737 or -2026738? -2026737 Are 115 and -0.0063 equal? False Which is bigger: 42352/355 or 119? 42352/355 Which is bigger: 224/1221 or 0? 224/1221 Is 3 not equal to -1799? True Which is smaller: -5 or -3439? -3439 Which is bigger: 1 or 63/4099? 1 Is 24 smaller than 60? True Which is greater: -0.1 or -8497/26? -0.1 Which is greater: 0.24 or 295964? 295964 Which is smaller: -1 or 354/4687? -1 Which is smaller: 1 or 3/172100? 3/172100 Which is bigger: -3/269 or 2/483? 2/483 Is 193105 at most as big as 193107? True Do 0.56 and 208/15 have the same value? False Which is smaller: 128074 or 128072? 128072 Is -2 >= -24.237? True Which is smaller: 0 or 3/345580? 0 Is -4027242 > -4027241? False Which is bigger: -3994 or -4012? -3994 Do 6197 and 6167 have the same value? False Which is bigger: 39/7 or -0.548? 39/7 Which is smaller: 0 or 2/295077? 0 Which is smaller: 89/82 or 4? 89/82 Which is smaller: -317695 or -1/5? -317695 Is 300489 greater than 300480? True Which is smaller: -2/49727 or -1? -1 Are 858 and 0 equal? False Which is smaller: -0.2 or 20072.7? -0.2 Is 10/47 equal to 32/5? False Which is smaller: -25 or 1470? -25 Which is bigger: 22 or -36961? 22 Does -132986 = -133012? False Which is smaller: 78 or 51972/655? 78 Which is greater: -5282/33 or -161? -5282/33 Does -3 = -10/13559? False Is 983 >= 853? True Which is smaller: -193517 or -193520? -193520 Do -960 and -988 have the same value? False Is 0 at most -2049732? False Which is greater: 24681 or 24724? 24724 Which is smaller: -0.1 or 462667? -0.1 Which is greater: 0.1 or -2207869? 0.1 Is -0.03428 at least 2/89? False Which is greater: -598 or -4381? -598 Which is smaller: 1 or 1395/1528? 1395/1528 Which is smaller: 2 or 10071? 2 Are -8213 and -73924/9 equal? False Is 14 less than 356/1849? False Are 25 and 1696/7 equal? False Is 65/9 smaller than 6.1? False Which is bigger: -46
{ "pile_set_name": "DM Mathematics" }
What is the highest common factor of m and 76? 19 Suppose 0 = 6*u + 14 - 134. Let t(z) = z - 18. Let h be t(12). Let c be (2 + 13)*(-4)/h. Calculate the highest common divisor of u and c. 10 Let w be (24/21)/4 - 508/14. Let i = -19 - w. Suppose -p = 4 - i. What is the greatest common divisor of 117 and p? 13 Suppose -18 = -14*l + 24. Suppose f + 197 = 5*h, -5*h = -6*f + l*f - 191. Calculate the greatest common divisor of h and 100. 20 Let p = -8680 + 10291. What is the greatest common divisor of 27 and p? 9 Let m(d) = 19*d**2 + 43*d - 105. Let z be m(12). What is the greatest common factor of z and 3? 3 Let t(c) = -37*c**2 - 5*c + 17. Let h(o) = 19*o**2 + 3*o - 8. Let k(l) = 9*h(l) + 4*t(l). Let b be k(-4). What is the highest common divisor of 21 and b? 21 Let n(k) = k**3 - 13*k**2 - 86*k + 198. Let r be n(18). Calculate the greatest common factor of r and 486. 54 Let s(o) = 2*o + 3. Suppose -2*u = 8, 4*u = 3*t + 2*t - 41. Let y be s(t). Suppose -b + 33 - y = 0. Calculate the highest common factor of b and 4. 4 Let b(t) = 2*t**3 + 245*t**2 + 115*t - 839. Let c be b(-122). Calculate the greatest common factor of c and 4035. 15 Let y = -27 + 47. Let v(c) = -c + 60. Let z be v(y). Let l = -134 - -144. What is the highest common divisor of l and z? 10 Suppose -114*u + 113*u - 3*n = -32, u - 4*n - 25 = 0. What is the greatest common divisor of 899 and u? 29 Suppose 2*j - 1696 = 4*m, 5*m = 5*j - 3610 - 635. What is the greatest common factor of 272 and j? 34 Let y = -40 + 104. Let x = y + 672. Calculate the greatest common factor of x and 8. 8 Suppose 8*t + 7*t - 60 = 0. Suppose 4*c - 608 = 2*o, -t*c + 563 = 2*o - 61. What is the highest common factor of c and 42? 14 Suppose 0 = -2*p - 0*p + 288. Suppose 67*l - 7*l = 1620. What is the highest common factor of p and l? 9 Let v(h) = 19*h**2 - 36*h + 201. Let w be v(7). Let l = -852 + w. What is the greatest common divisor of l and 8? 4 Let y(c) = 5*c**3 + 3*c**2 - 22*c + 21. Let z be y(2). What is the highest common factor of 10 and z? 1 Let x = 11305 - 11296. Calculate the greatest common divisor of 531 and x. 9 Suppose 0 = -3*h + 2*k + 1096, -6*h - 5*k - 1459 = -10*h. Suppose 16*z - h = 178. What is the highest common divisor of z and 425? 17 Suppose -48 = k - 4*k. Let f = 77 - -355. Suppose -4*s = 5*s - f. What is the greatest common divisor of k and s? 16 Let t = 4759 - 4450. What is the highest common factor of 412 and t? 103 Let y be 1640/72 - (-10)/45. Suppose y*d - 25*d = -80. What is the highest common divisor of d and 8? 8 Let i(h) = 29*h - 42. Let x(y) = y**2 - 5*y + 7. Let r be x(5). Let s be i(r). What is the highest common divisor of 46 and s? 23 Suppose m = 3*t - 9, 3*m + 17 = 2*t + 6*m. Suppose -4*n + 4*l + 168 = 0, -t*l - 8 = n - 30. What is the greatest common factor of 266 and n? 38 Let y be 4/5 - (-13184)/320. Suppose 2*o + 4*l - 1427 = 157, 5*l = -4*o + 3177. Calculate the greatest common factor of o and y. 42 Suppose 2*w - 8 = 0, 3*w + 101 - 9 = 2*t. Let z = 220 + t. What is the greatest common divisor of 48 and z? 16 Suppose -40574 = 90*c - 203474. Calculate the greatest common factor of c and 543. 181 Let o(k) = -k**3 - 69*k**2 + 73*k - 227. Let g be o(-71). What is the highest common divisor of g and 160? 32 Suppose 190*d - 133*d = 82251. What is the highest common divisor of 429 and d? 39 Let t = -49 - -97. Suppose -5*x = s - 0 - 5, -5*s - 2*x + t = 0. Calculate the greatest common divisor of 65 and s. 5 Suppose -185 - 319 = 7*s. Let x = s - -22. Let t be (-12 + 14)/((-1)/x). What is the greatest common divisor of t and 25? 25 Suppose 265*y + 2066 = 12310 + 10956. Suppose -2*g = 5*b + 1 + 13, -2*g = -b + 2. Let s = b + 18. What is the highest common divisor of s and y? 16 Suppose 3*j + 4*x = 15607, 64*x - 69*x - 15679 = -3*j. Calculate the highest common divisor of 52 and j. 13 Let t(z) = z**2 - 54*z + 337. Let a be t(47). Calculate the highest common divisor of a and 4564. 4 Let d be 9/5 + 1/5. Suppose -4*t + 659 = 5*b, 2*b = -d*t + 29 + 233. Calculate the greatest common divisor of b and 15. 15 Let c = -19922 - -19942. What is the greatest common factor of 3050 and c? 10 Suppose 4*m = -0*m + 80. Let c be (-112)/(-42) - 4*1/(-12). Suppose u = -2*t + m, -c*u = -t - 40 - 34. What is the highest common factor of u and 216? 24 Let v be ((-43)/43)/(2/(-6)). Suppose 0 = v*j - 7*a + 6*a - 46, a = 4*j - 63. Calculate the greatest common factor of 272 and j. 17 Let x(g) = -56*g + 1155. Let o be x(19). Calculate the greatest common factor of o and 6643. 91 Let f = -74 - -60. Let u = f - -55. Suppose -4*l + 44 = 5*o, 15 = 4*l + 2*o - u. What is the greatest common factor of 40 and l? 8 Let c(p) = -p**3 + 70*p**2 + 145*p - 58. Let r be c(72). What is the greatest common factor of 3878 and r? 14 Suppose -2*l + 192 = 4*c - 0*l, 4*c + 3*l - 188 = 0. Let h = c - -12. Suppose -h*o = -65*o + 210. Calculate the greatest common divisor of o and 14. 14 Let b(y) = -2*y**3 - y**2 + y + 1. Let s be b(-2). Suppose -3*c = -12*c + 6237. Suppose 4*f + 5*f - c = 0. Calculate the greatest common divisor of f and s. 11 Let k(u) = -13*u + 1. Let o be k(-2). Let i be (o/18)/(2/4). Suppose -5*v + 150 = 5*t, i*t + 2*t - 150 = 4*v. What is the greatest common factor of t and 330? 30 Let n be ((-2)/1)/(-10 - 0) - (-4728)/985. Let o(r) = -14*r. Let z be o(-5). Calculate the highest common factor of n and z. 5 Let g be 3/((-6)/14)*24/28. Let j(s) = 44*s + 15. Let a be j(g). Let w = a - -348. Calculate the highest common divisor of w and 11. 11 Let j be ((-1)/(-7) - (-2288)/56) + -7 + 11. What is the highest common divisor of 4170 and j? 15 Let q = 1316 + -1310. Let d be (2/1)/(10/25). Let n(a) = -a**3 + 8*a**2 - 7*a + 2. Let h be n(d). What is the greatest common divisor of q and h? 6 Suppose -3*s - 365*i = -367*i - 18, 0 = 2*s - 2*i - 12. Let z(p) = -p**3 + 17*p**2 + 3*p + 15. Let b be z(17). Calculate the greatest common divisor of b and s. 6 Suppose -28 + 134 = 123*p - 140. Let o(n) = -n**3 - 6*n**2 + 4. Let x be o(-6). What is the greatest common factor of x and p? 2 Let u = 2458 + -2433. Calculate the greatest common divisor of u and 425. 25 Let g be (30*40)/3 + 27 + -21. What is the highest common divisor of g and 196? 14 Suppose -3*k = -5*x - 7, 4*k - 17 = 4*x - 5. Suppose l - 59 = -k*v, 6*v = v - 5. Let j be 8 + -1 + 0/(-1). Calculate the greatest common factor of l and j. 7 Let c(n) = 3*n**3 + 101*n**2 - 46*n + 26. Let l be c(-34). Let h = -389 + l. Calculate the highest common divisor of h and 180. 45 Suppose 4*m - 2*q = 4844, -4*m + 5*q + 3399 = -1439. Calculate the highest common factor of m and 24. 12 Let j = 691 - 526. Suppose 166*t - 245 = j*t. What is the greatest common divisor of t and 5? 5 Suppose 9*n = 16*n - 49. Let h be 10/(490/357) - 2/n. Calculate the highest common divisor of 133 and h. 7 Let t be (128/(-6))/((-2)/24). Suppose -774 = -19*s - 242. Let f be 41 + -2 - s/4. What is the highest common divisor of t and f? 32 Suppose -l - 1 = 0, -2*k = 24*l - 27*l - 47. Calculate the greatest common divisor of 583 and k. 11 Let m = 5684 + -5682. What is the highest common factor of m and 194? 2 Let g be 2/(77/78 + -1). Let y = g - -480. What is the greatest common divisor of y and 4? 4 Let p = -128 + 212. Let i = 172 - p. Suppose 5*b + 2*q = 92, -3*q + 4*q + 5 + 4 = 0. What is the greatest common factor of i and b? 22 Let p = -1503 - -1511. Calculate the highest common factor of 680 and p. 8 Let x be (816/20)/(132/30 - 4). Suppose 17*z = 102 + x. Calculate the highest common factor of 30 and z. 6 Suppose q - 10 = -4*v - 3, 3*v - 5*q - 34 = 0. Suppose 5*x - f - 98 = -22, 2*x = 5*f + 35. Let z = 48 - x. Calculate the highest common divisor of z and v. 3 Let i(m) = -m**3 - 10*m**2 - 15*m + 10. Suppose -33*d - 5*w = -36*d + 1, 0 = -5*w - 25. Let a be i(d). Calculate the greatest common divisor of a and 32. 2 Let h(z) = 185*z**3 - z**2 + z. Let v be h(1). Suppose -3*b = -5*g + 561, 2*g = -31*b + 27*b + 214. Calculate the greatest common factor of g and v. 37 Let a be 3 + (-275943)/(-57) + 78/(-741). Calculate the greatest common divisor of 28 and a. 28 Let n(o) = 107*o + 33. Let k be n(-8). Let r = 1287 + k. What is the highest common factor of 58 and r? 58 Let p(y) = 46*y + 8717. Let v be p(-4
{ "pile_set_name": "DM Mathematics" }
-309, -430, -581? -t**3 - 60*t - 5 What is the z'th term of -90, -91, -102, -129, -178, -255? -z**3 + z**2 + 3*z - 93 What is the v'th term of -570, -559, -536, -495, -430, -335, -204, -31? v**3 + 4*v - 575 What is the y'th term of 2, 32, 112, 266, 518, 892, 1412? 4*y**3 + y**2 - y - 2 What is the t'th term of 49, 59, 81, 121, 185, 279, 409? t**3 + 3*t + 45 What is the u'th term of -1, 3, 7, 11, 15? 4*u - 5 What is the q'th term of -26, -50, -66, -68, -50, -6? q**3 - 2*q**2 - 25*q What is the d'th term of 1127, 1128, 1129, 1130, 1131, 1132? d + 1126 What is the o'th term of -86, -85, -76, -53, -10, 59? o**3 - 2*o**2 - 85 What is the b'th term of -42, -190, -442, -798, -1258, -1822? -52*b**2 + 8*b + 2 What is the a'th term of -2364, -2367, -2372, -2379? -a**2 - 2363 What is the s'th term of 7, 42, 101, 184? 12*s**2 - s - 4 What is the k'th term of -215, -221, -231, -245, -263, -285, -311? -2*k**2 - 213 What is the v'th term of 5459, 5458, 5457, 5456, 5455? -v + 5460 What is the q'th term of -456, -444, -410, -342, -228, -56? 2*q**3 - q**2 + q - 458 What is the g'th term of -240, -986, -2220, -3936, -6128, -8790? g**3 - 250*g**2 - 3*g + 12 What is the l'th term of 300, 438, 576? 138*l + 162 What is the c'th term of 1289, 1288, 1287, 1286? -c + 1290 What is the r'th term of -8269, -8277, -8289, -8305, -8325? -2*r**2 - 2*r - 8265 What is the k'th term of 50, 54, 56, 50, 30, -10, -76, -174? -k**3 + 5*k**2 - 4*k + 50 What is the i'th term of -965, -963, -961? 2*i - 967 What is the j'th term of 24, 34, 46, 60, 76? j**2 + 7*j + 16 What is the j'th term of 210, 215, 220, 225, 230? 5*j + 205 What is the v'th term of -1, 6, 31, 86, 183, 334, 551? 2*v**3 - 3*v**2 + 2*v - 2 What is the v'th term of 90, 177, 264, 351, 438? 87*v + 3 What is the p'th term of -9, -67, -211, -483, -925, -1579, -2487, -3691? -7*p**3 - p**2 - 6*p + 5 What is the c'th term of -812, -1638, -2464? -826*c + 14 What is the v'th term of 9018, 9021, 9034, 9063, 9114? v**3 - v**2 - v + 9019 What is the t'th term of -59, -104, -149? -45*t - 14 What is the i'th term of -55055, -55064, -55085, -55124, -55187, -55280? -i**3 - 2*i - 55052 What is the q'th term of -61, -154, -247? -93*q + 32 What is the g'th term of 492, 523, 580, 675, 820, 1027, 1308? 2*g**3 + g**2 + 14*g + 475 What is the f'th term of -32, -53, -70, -83, -92, -97, -98? 2*f**2 - 27*f - 7 What is the v'th term of -21386, -21386, -21384, -21380, -21374? v**2 - 3*v - 21384 What is the z'th term of -30, -36, -54, -90, -150, -240, -366, -534? -z**3 + z - 30 What is the f'th term of 1, 6, 13, 22, 33, 46, 61? f**2 + 2*f - 2 What is the a'th term of -135, -91, -15, 93, 233, 405, 609? 16*a**2 - 4*a - 147 What is the h'th term of -29, 4, 59, 136, 235? 11*h**2 - 40 What is the y'th term of -35, -43, -43, -35? 4*y**2 - 20*y - 19 What is the s'th term of 52, 109, 168, 229? s**2 + 54*s - 3 What is the l'th term of -88, -172, -254, -334, -412, -488, -562? l**2 - 87*l - 2 What is the u'th term of -7, 6, 37, 86? 9*u**2 - 14*u - 2 What is the q'th term of 80, 157, 244, 347, 472, 625, 812, 1039? q**3 - q**2 + 73*q + 7 What is the z'th term of -407, -405, -403, -401? 2*z - 409 What is the i'th term of 81, 68, 37, -18, -103, -224, -387, -598? -i**3 - 3*i**2 + 3*i + 82 What is the y'th term of 288, 325, 382, 459, 556? 10*y**2 + 7*y + 271 What is the c'th term of -30, -57, -90, -135, -198, -285, -402? -c**3 + 3*c**2 - 29*c - 3 What is the m'th term of -36, -26, -16, -6? 10*m - 46 What is the b'th term of -7, -14, -33, -70, -131? -b**3 - 6 What is the p'th term of -1720, -3440, -5160, -6880, -8600, -10320? -1720*p What is the a'th term of -32, -62, -96, -134, -176? -2*a**2 - 24*a - 6 What is the r'th term of 29, 49, 69, 89, 109? 20*r + 9 What is the w'th term of -85, -88, -87, -82, -73? 2*w**2 - 9*w - 78 What is the a'th term of -111, -222, -333, -444, -555? -111*a What is the n'th term of -10, 40, 172, 428, 850, 1480? 7*n**3 - n**2 + 4*n - 20 What is the p'th term of -20, -1, 8, 1, -28, -85, -176? -p**3 + p**2 + 23*p - 43 What is the z'th term of -48, -91, -132, -171, -208, -243? z**2 - 46*z - 3 What is the r'th term of 433, 435, 437, 439, 441? 2*r + 431 What is the s'th term of 155, 143, 109, 41, -73, -245? -2*s**3 + s**2 - s + 157 What is the q'th term of -31, -61, -91, -121, -151, -181? -30*q - 1 What is the y'th term of 24, -112, -476, -1182, -2344, -4076, -6492, -9706? -19*y**3 - 3*y + 46 What is the a'th term of -20, 58, 122, 166, 184, 170, 118, 22? -a**3 - a**2 + 88*a - 106 What is the v'th term of 425, 433, 453, 491, 553, 645, 773? v**3 + v + 423 What is the s'th term of 67, 135, 211, 295, 387, 487? 4*s**2 + 56*s + 7 What is the h'th term of -476, -465, -452, -437, -420, -401? h**2 + 8*h - 485 What is the m'th term of -5, -3, -1, 1, 3? 2*m - 7 What is the d'th term of -137, -281, -427, -575, -725, -877? -d**2 - 141*d + 5 What is the m'th term of 89, 422, 969, 1724, 2681? -m**3 + 113*m**2 + m - 24 What is the o'th term of -18, -63, -144, -261, -414, -603? -18*o**2 + 9*o - 9 What is the b'th term of -184, -191, -210, -247, -308, -399? -b**3 - 183 What is the d'th term of 95, 90, 83, 74, 63, 50? -d**2 - 2*d + 98 What is the b'th term of -1, -19, -37, -55? -18*b + 17 What is the n'th term of 13524, 13527, 13532, 13539? n**2 + 13523 What is the b'th term of -90, -70, -32, 30, 122? b**3 + 3*b**2 + 4*b - 98 What is the q'th term of -121, -149, -177, -205, -233, -261? -28*q - 93 What is the n'th term of -9, -17, -23, -27, -29? n**2 - 11*n + 1 What is the y'th term of 215, 213, 211, 209? -2*y + 217 What is the d'th term of -59176, -59166, -59142, -59098, -59028, -58926, -58786? d**3 + d**2 - 59178 What is the a'th term of -9, -45, -77, -81, -33, 91, 315, 663? 4*a**3 - 22*a**2 + 2*a + 7 What is the c'th term of 833, 834, 835, 836? c + 832 What is the m'th term of 2, 10, 34, 80, 154? m**3 + 2*m**2 - 5*m + 4 What is the k'th term of -82, -53, -24, 5, 34, 63? 29*k - 111 What is the r'th term of 169, 340, 511, 682, 853, 1024? 171*r - 2 What is the r'th term of -51, -99, -159, -237, -339, -471, -639? -r**3 - 41*r - 9 What is the r'th term of 593, 1177, 1751, 2309, 2845? -r**3 + r**2 + 588*r + 5 What is the f'th term of 262, 270, 278, 286, 294? 8*f + 254 What is the s'th term of -1915, -1913, -1911, -1909, -1907, -1905? 2*s - 1917 What is the l'th term of -142, -158, -186, -226, -278, -342, -418? -6*l**2 + 2*l - 138 What is the j'th term of 28, 19, 4, -17? -3*j**2 + 31 What is the i'th term of -41, -152, -335, -590, -917, -1316? -36*i**2 - 3*i - 2 What is the n'th term of -55, -81, -133, -223, -363, -565, -841, -1203? -2*n**3 - n**2 - 9*n - 43 What is the y'th term of 127, 128, 129, 130, 131, 132? y + 126 What is the c'th term of -30, -60, -90, -120, -150? -30*c What is the q'th term of 1978, 1977, 1976? -q + 1979 What is the y'th term of 19, 36, 41, 28, -9, -76, -179, -324? -y**3 + 24*y - 4 What is the h'th term of 181, 185, 189, 193, 197, 201? 4*h + 177 What is the b'th term of -237, -477, -707, -921, -1113? b**3 - b**2 - 244*b + 7 What is the d'th term of 216, 235, 254, 273, 292, 311? 19*d + 197 What is the q'th term of -5, 7, 25, 43, 55, 55? -q**3 + 9*q**2 - 8*q - 5 What is the t'th term of 15, 64, 113, 162? 49*t - 34 What is the r'th term of -1751, -1754, -1757, -1760? -3*r - 1748 What is the z'th term of -8, 11, 64, 169, 344, 607, 976, 1469? 3*z**3 - z**2 + z - 11 What is the b'th term of 260, 518, 776, 1034? 258*b + 2 What is the u'th term of -4683, -4684, -4687, -4692, -4699? -u**2 + 2*u - 4684 What is the v'th term of -118, -129, -156, -205, -282, -393, -544? -v**3 - 2*v**2 + 2*v - 117 What is the t'th term of -23, -22, -21? t - 24 What is the j'th term of 30, 143, 330, 591, 926, 1335, 1818? 37*j**2 + 2*j - 9 What is the i'th term of -7, -63, -155, -283? -18*i**2 - 2*i + 13 What is the o'th term of -2648, -2649, -2650, -2651, -2652? -o - 2647 What is the u'th term of 0, 18, 54, 114, 204, 330, 498? u**3 + 3*u**2 + 2*u - 6 What is the s'th term of -130, -135, -140? -5*s - 125 What is the s'th term of -1324, -1303, -1246, -1135, -952, -679? 3*s**3 - 1327 What is the h'th term of 705, 704, 703, 702, 701? -h + 706 What is the u'th term of -145, -144, -143? u - 146 What is the b'th term of -204, -199, -194, -189? 5*b - 209 What is the x'th term of
{ "pile_set_name": "DM Mathematics" }
*u + 3*j*o**2 - 3*j*o*u - 3*j*u - 551*j + 7*o**2*u + 2809*o**2 + 11*o*u - 377*o wrt o. -8*j*u + 6*j + 14*u + 5618 Find the second derivative of -258542277*r**3 - 40*r - 120194. -1551253662*r What is the second derivative of 650312*b**2*u**2 - 2*b**2*u - 491*b**2 + 23662*b*u + 2*b - 5*u**5 wrt u? 1300624*b**2 - 100*u**3 What is the third derivative of -11456*y**5 + 19*y**4 - 17*y**3 - y**2 - 2843*y - 20375? -687360*y**2 + 456*y - 102 What is the third derivative of 15305484*c**2*k**3 + 264*c**2*k**2 + 2*c*k**3 + 4082*c*k**2 + 3*c wrt k? 91832904*c**2 + 12*c What is the third derivative of 34*g**3*p**2 - 11*g**3*p + 2122*g**3 - 71886*g**2 - 617*p**2 wrt g? 204*p**2 - 66*p + 12732 Find the first derivative of 8*a*g*z**2 - 245*a*g - 1776*a*o*z**2 - 801*a*z**2 + a*z - 40354*g*o*z**2 - z wrt o. -1776*a*z**2 - 40354*g*z**2 What is the second derivative of -3314*n**4 + 132*n**3 - 2*n**2 + 81093*n - 9 wrt n? -39768*n**2 + 792*n - 4 What is the derivative of -165*p**3*v + 33466*p**2 + 27*v + 154978 wrt p? -495*p**2*v + 66932*p Find the second derivative of -1219409*r**2 - 470*r - 641. -2438818 What is the second derivative of 42*d**5 - 7323*d**2 + 14004267*d wrt d? 840*d**3 - 14646 Find the third derivative of -15653*p**4*t + 10*p**4 + 8*p**3*t - 4*p**2 + 49470*p*t + t - 1 wrt p. -375672*p*t + 240*p + 48*t Differentiate 25*x**2 + 12639*x + 32442669 wrt x. 50*x + 12639 What is the second derivative of 1157*q**4 - 2290*q**2 - 751705*q - 10 wrt q? 13884*q**2 - 4580 Find the second derivative of 9753661*y**3 - 9298126*y. 58521966*y What is the third derivative of -74827881*v**3 + 382762*v**2 + 56 wrt v? -448967286 What is the second derivative of 2232*o**4 + 458*o**2 - 47969821*o? 26784*o**2 + 916 What is the second derivative of 3420135*h**2*m + h**2 - 3*h*m + 331755*h + 5*m wrt h? 6840270*m + 2 Find the third derivative of -288989816*g**3*j**2 + g**3 - 5517*g**2*j - 2*g**2 + 3*g + 2465*j**2 wrt g. -1733938896*j**2 + 6 Find the third derivative of -675335655*a**6 + 20*a**2 + 768*a + 13213. -81040278600*a**3 What is the third derivative of 5063518*i**4 - 975706*i**2? 121524432*i Find the third derivative of -69351*f**3*m*w**2 - 48*f**3*m - f**2*m*w**2 + 24*f**2*m*w + f**2*w**2 - 1068*f*w**2 + 29*m*w**2 wrt f. -416106*m*w**2 - 288*m Differentiate 12902827*x + 3999085. 12902827 What is the derivative of 6344239*l*t**4 + 26*l*t + 40768*l + 121 wrt t? 25376956*l*t**3 + 26*l What is the third derivative of 2314*q**5 - 1381*q**3 - 4393705*q**2? 138840*q**2 - 8286 Find the third derivative of 114195274*j**3 - 110117213*j**2 wrt j. 685171644 What is the third derivative of 389509829*p**6 + 14*p**2 - 3665450*p + 3? 46741179480*p**3 Find the second derivative of -281*m**4 + 149*m**3 + 860*m**2 + 1830375*m - 37. -3372*m**2 + 894*m + 1720 What is the second derivative of -8555*r**2*v + 2961*r**2 - 362*r*v + 65361*v wrt r? -17110*v + 5922 What is the second derivative of 54*q**3*r + 1169*q**3 + 7*q**2*r - q**2 + 2*q*r - 823*q + 743*r wrt q? 324*q*r + 7014*q + 14*r - 2 Find the first derivative of 5521*q**2*z - 201736*q**2 + 2*q*z - 2*q - 615*z + 3 wrt z. 5521*q**2 + 2*q - 615 Find the second derivative of 2*f**3*v - 109*f**2*v**2 + 2816*f**2 - 2*f*v**2 + 1993137*f - 3*v wrt f. 12*f*v - 218*v**2 + 5632 What is the third derivative of -7378659*b**3*g**4 + 2*b**3*g**2 - 2*b**3*g - 107*b**3 + 13*b**2*g**2 - 4*b*g**6 - 721*b*g**2 wrt g? -177087816*b**3*g - 480*b*g**3 What is the derivative of -6307203*m**4 - 11288919 wrt m? -25228812*m**3 Find the third derivative of 35546958*b**5 - 120683*b**2 + 2*b + 1. 2132817480*b**2 What is the second derivative of -a**3*x**2 + a**3 + 389*a**2*x - 28431*a - 14479988*x**2 wrt x? -2*a**3 - 28959976 What is the first derivative of 59280844*a**3 + 2*a - 36449947 wrt a? 177842532*a**2 + 2 Find the first derivative of 9981958*t**2*u + 24282567*t**2 wrt u. 9981958*t**2 What is the derivative of 540159773*o**3 - 543408728? 1620479319*o**2 Find the third derivative of -418601838*c**6 - 346717613*c**2 wrt c. -50232220560*c**3 Find the third derivative of -3*a**2*z**4 - 60*a**2*z - 81192725*a*z**5 + 2078918*a*z**2 wrt z. -72*a**2*z - 4871563500*a*z**2 What is the derivative of 3*i**2*v**3 - 165922367*i**2 - 103923154*i*v**3 wrt v? 9*i**2*v**2 - 311769462*i*v**2 What is the second derivative of 5*g*n**2*v - 5*g*n*v**3 - 189*g*n + 456694*n**2*v**5 - 4*n**2*v - 28*n**2 + v wrt v? -30*g*n*v + 9133880*n**2*v**3 What is the second derivative of -19189663*y**4 - 36*y - 1612733? -230275956*y**2 What is the second derivative of -2438*q**2*t**2 + 16*q**2*t + 3*q**2 + 2*q*t**2 + 41*q + 334*t**2 + 309*t wrt t? -4876*q**2 + 4*q + 668 What is the first derivative of 12916264*f + 91174468 wrt f? 12916264 Find the third derivative of 6930409*g**6 + g**4 - 2*g**2 + 3*g - 67705. 831649080*g**3 + 24*g What is the third derivative of -27915194*c**6 - 27946401*c**2 wrt c? -3349823280*c**3 Find the third derivative of -1506081*n**4 + 28*n**3 + 12978893*n**2 - 5*n wrt n. -36145944*n + 168 What is the second derivative of 178918883*q**3 + 3*q - 19243633 wrt q? 1073513298*q Find the first derivative of -1023067874*o**2 + 1012952153. -2046135748*o Find the second derivative of 33*g**2*i**2 - 3*g**2 - 3*g*i**2 + 9*g*i + 14917*g + 14076*i**2 + 1 wrt i. 66*g**2 - 6*g + 28152 What is the third derivative of -462557375*n**4 + 475141879*n**2 wrt n? -11101377000*n What is the third derivative of 11*g**5 + 60756*g**4 + 372876*g**2 wrt g? 660*g**2 + 1458144*g Find the first derivative of -7226476*l**4*o - 37*l*o + 93282*o + 497 wrt l. -28905904*l**3*o - 37*o Differentiate 82137116*b**3 - 347830456 with respect to b. 246411348*b**2 Find the third derivative of -32131536*k**3 - k**2 - 5362473. -192789216 What is the second derivative of -2*a**4*n + 1357193*a**4 + 3088*a*n + 3*a + n + 5 wrt a? -24*a**2*n + 16286316*a**2 What is the derivative of 153035340*h - 140093608? 153035340 What is the third derivative of -116086908*p**3*s**2 - 2*p**3 - 273*p**2*s**2 + 3*p**2*s - 50*p**2 - s**2 - s - 454 wrt p? -696521448*s**2 - 12 What is the derivative of 97*c**2*p**3 + 15388153*c**2*p**2*w - 2194*c*p + 4*p**3*w + 2*p**3 wrt w? 15388153*c**2*p**2 + 4*p**3 What is the third derivative of -x**3*y**3 + 52*x**3*y**2 - x**3*y + 96*x**2*y**3 + 2*x**2*y**2 + 3*x**2*y - 104853*y**3 - 30*y**2 + 3*y wrt y? -6*x**3 + 576*x**2 - 629118 Find the third derivative of 165383*f**6 + 135*f**5 - 95517*f**2 - 152*f. 19845960*f**3 + 8100*f**2 Find the first derivative of 27290628*x**2 - 2141648 wrt x. 54581256*x What is the third derivative of -452601*j**5 + 6*j**4 + 3*j**3 - 1287303*j**2 - 5 wrt j? -27156060*j**2 + 144*j + 18 Find the first derivative of -3072*c**2 + 392*c - 11773709. -6144*c + 392 What is the second derivative of 123864*n**3 + 20*n**2 - 73447*n + 20 wrt n? 743184*n + 40 What is the third derivative of 1050*b**5 - 1122*b**3 - 837*b**2 - 7*b - 31? 63000*b**2 - 6732 What is the derivative of -15298104*q + 21413305 wrt q? -15298104 Find the third derivative of -55*u**6 + 2*u**5 + 3628*u**3 + 123320*u**2 + 19*u + 1. -6600*u**3 + 120*u**2 + 21768 What is the first derivative of 50792369*n**3*y + 2*n*y + 14*y - 267660 wrt n? 152377107*n**2*y + 2*y Find the second derivative of 74955223*q**5 + 615396*q + 4 wrt q. 1499104460*q**3 What is the second derivative of -1268*g**3*l + 5504*g**2*l + 3*g*l - 11*g - 513*l + 109 wrt g? -7608*g*l + 11008*l What is the third derivative of -161091456*o**3 - 3731*o**2 + 3*o - 3256 wrt o? -966548736 Find the third derivative of -1729680*u**5 - 59911*u**2 - 28*u - 3 wrt u. -103780800*u**2 Find the third derivative of -654954*f**3 - 2*f**2 - 13561*f - 1 wrt f. -3929724 What is the second derivative of -4*g**4 - 399*g**3 - 1297*g**2 - 28*g + 153045 wrt g? -48*g**2 - 2394*g - 2594 Differentiate 15672959*r**4 + 2*r - 82359043 with respect to r. 62691836*r**3 + 2 Differentiate -6*f**2*m + 3*f**2*n - 18*f**2 + 1981*f*m*n - 3*f*n + 136*m**3 + 8828*n + 6 wrt m. -6*f**2 + 1981*f*n + 408*m**2 Differentiate -5*h**3*i + 6*h**3 - 2*h**2*i - 2*h**2 - 8*h*i - 454*h + 4891*i + 682 wrt i. -5*h**3 - 2*h**2 - 8*h + 4891 Find the third derivative of 118*c**3*f + 331652*c**3 + 205*c**2*f - 2*c**2 + 17761*c*f + f wrt c. 708*f + 1989912 What is the first derivative of 2433*j**2*r**2 - 1230
{ "pile_set_name": "DM Mathematics" }
*v - 15 = 129*m for m. 4 Solve -216*y = -213*y + 5*l + 25, -l - 5 = -11*y for y. 0 Solve 83*w + r = 88*w - 22, 4 = -2*r for w. 4 Solve 2*f = 4*i - 2, 9*f - 10*i = -14*i + 13 for f. 1 Solve -i - j - 2 = 0, -2*j = -31*i + 27*i + 16 for i. 2 Solve -2*x + 5*z = 997 - 990, 5*x = -5*z for x. -1 Solve 2*z = i, 3*z - 24 + 25 = 2*i for z. 1 Solve -4*q - 35575*k = -35573*k + 2, 0 = q + 2*k - 4 for q. -2 Solve 192*s - 2*h - 80 = 212*s, 2*s + 4*h = -8 for s. -4 Solve -2*h = 3*l + 4, 23*l = 22*l + 3*h + 28 for l. 4 Solve -13*s + 116 = -2*u + 164, -3*s - 14 = 2*u - u for u. -2 Solve 3*b - 5*b + 4 = -0*b + 14*r, -b - 5*r = 0 for b. -5 Solve -4*l - 130 + 138 = -d, 4*l - 24 = 5*d for d. -4 Solve 2*o + 4*d = 34 - 28, 0 = 2*o - 5*d + 30 for o. -5 Solve -62 = 2*k - 3*z, -51*k + z = -50*k + 21 for k. -1 Solve 0 = -19*f + 18*f - 2*a - 6, 3*a - 77 = -23*f for f. 4 Solve -3*z - 29 = 8*v, -v = -z - 20 + 25 for v. -4 Solve 6108*q - 6105*q = 2*g + 58, -6*q - 2*g - 22 = 0 for q. 4 Solve -3*c = -3*d + 3, -79*d = -76*d - 6 for c. 1 Solve 4*v = 2*o - 6, -4 = -4*v - 30*o + 34*o for v. -4 Solve -w = -5*i + 22, 601*w - 302*w - 7 = 300*w - 2*i for w. 3 Solve -2*v = 11*f, 10*f = 11*f - v for f. 0 Solve 10*o = 4*u - 4, 43300 - 43301 = -u for o. 0 Solve -5*i = -45*r + 50*r - 75, -5*r + 2*i = 2 for r. 4 Solve -16 = -4*c + 4, -i + 22 = 5*c for i. -3 Solve 3*c + 2*r = -26, 3766*c - 3767*c = 2*r + 30 for c. 2 Solve 11*u + 6 = 8*u - y, 70*u - 2*y - 10 = 74*u for u. -1 Solve 75*y - 77*y - 7 = t, -5*t - 43 = 2*y for t. -9 Solve -5*r = -2*o + 20, -294*o + 298*o = 20 for r. -2 Solve 3*n + 4 = u, 63*u - 64*u - 4 = 5*n for u. 1 Solve 4*x = 4*w - 4, -6*w - 2*x = -1923 + 1957 for w. -4 Solve 88 - 114 = 4*y + 2*w, 4*w = 3*y + 36 for y. -8 Solve 2*r = 2*p - 8, -711*r - 17 = -3*p - 709*r for p. 9 Solve -3*p = -2*t + 2, 23*t - 43*p = 26*t + 187 for t. -5 Solve -3*f = -n - 8, -n - 1154*f = -1156*f + 6 for n. -2 Solve c = 5, -542*d + 3*c + 10 = -537*d for d. 5 Solve 25*f - 23*f = 16*b - 102, 2*b - 5*f - 15 = 12 for b. 6 Solve -4675*y + 4*z + 3 = -4672*y, -2*y + 1 = -3*z for y. 5 Solve s - u + 1 = 0, -255*s - 3 = -252*s + 4*u for s. -1 Solve 3*b - 537 = 3*a - 522, 5*a + 33 = 7*b for a. -1 Solve -8*r + r - 8*b + 31 = -6*r, 18 = -2*r + 4*b for r. -1 Solve 5*t + 3*x + 105 = 0, 267*t - 271*t - 38*x = 1152 for t. -3 Solve -a - 4106 = -w - 4103, 3*a = -w + 3 for w. 3 Solve 0 = -3*m + 5*b + 75 - 68, 4 = -2*b for m. -1 Solve 0 = -2*w + 2*q - 171 + 189, 2*w - 24 = 5*q for w. 7 Solve 123*i + 388*y = 118*i + 389*y + 16, -36 = 3*i + 7*y for i. 2 Solve -2*r - 2*p = -3*p + 1, 2*p = 5*r for r. 2 Solve 3*r - 3 = -4*k, 85*k - 87*k = -3*r - 15 for k. 3 Solve 82 = 3*c + 3*h + 88, 3*c + 2*h + 5 = 0 for c. -1 Solve -x + q - 244 + 247 = 0, 4*q - 18 = -2*x for x. 5 Solve 4*o - 12 = -4*n, -32512*o = 4*n - 32509*o - 13 for n. 4 Solve -5*r + 4*u - 6413 = -6385, -3*u = r - 21 for r. 0 Solve 4*j = 2*h + 12, -19*h - 1952 = 5*j - 1838 for h. -6 Solve 4*n = 5*b, -3*b = -n - 1517 + 1524 for n. -5 Solve 995*v = 4*g + 991*v + 12, -2*g - 11 = -v for g. -8 Solve 3*b + 5*a - 17 = 0, -19*b - 19 = -22*b - 4*a for b. 9 Solve -484*d + 14 = -5*t - 481*d, 3*t + d = 0 for t. -1 Solve -2*j - 7*s - 56 = 0, 0 = j + 3*s + 59 - 35 for j. 0 Solve 0 = -y - 10*z + 9*z - 9, -3*y = z + 19 for y. -5 Solve -2*c = 11087*t - 11086*t + 10, 5*c = t - 18 for c. -4 Solve 0 = -5*b + 2*w - 27, 2*b + 5396*w = 5403*w - 17 for b. -5 Solve 5*d + 5*v - 7*v = -1, 10*v = 2*d - 18 for d. -1 Solve -2340*c + 2335*c + 3 = 3*k, -4*k + 2*c = -4 for k. 1 Solve 0 - 12 = -2*y, 0 = -3*r + 7*y - 12*y + 15 for r. -5 Solve -a + 10 = -2*y, -12 = 337*y - 332*y + 4*a for y. -4 Solve 4*o = 3*d - 40, -257*o - 175 = -256*o - 9*d for o. 5 Solve 3*j = 537*t - 541*t + 53, t + 13*j = 148 for t. 5 Solve -13*o - 23 = 3*f, -4*f + 12 + 2 = -5*o for o. -2 Solve 0 = -4*s + 263*p - 260*p + 11, -29 = 4*s + 5*p for s. -1 Solve 0 = -4*f + 4, 8*f - 8 - 21 = -4*d + 7*f for d. 7 Solve k - 39 = 2*n - 37, -n + 6*k = 3*k + 11 for n. 1 Solve -2*k = -8, -164*k + 168*k = -q + 16 for q. 0 Solve 3*k - 49 = 3*a + 11, 4*a + 78 = 2*k for a. -19 Solve 5*v = -4*w - 3, 14*w - 4*v - 36 = -6*v for w. 3 Solve 3*t - 11*j + 20*j + 7 = 10*j, -j - 21 = 4*t for t. -4 Solve -8*l - 3*x = -10*l + 33, -2*l - x + 29 = 0 for l. 15 Solve 2*h + 27 = 9*i, -3*i + 19*h - 20*h + 9 = 0 for i. 3 Solve -3*t - 2*r + 3364 - 3358 = 0, 3*r = -3*t + 6 for t. 2 Solve -17 = -37337*a + 37334*a + 2*s, s - 8 = -4*a for a. 3 Solve -2*k + 6 = 0, 5*l - 2*k = l + 18 for l. 6 Solve -o - 7 = -r, -r = -o - 2*r + 5 for o. -1 Solve 5*o - 5*l + 35 = 0, -429*o = -433*o + 2*l - 18 for o. -2 Solve -70*z + 59*z = -4*m + 12, 12 = -3*z + 4*m for z. 0 Solve -61*q = 3*j - 56*q - 59, -7*j - 4*q = -61 for j. 3 Solve -6*s + 9*s = 5*y + 66, -s + 4*y + 29 = 0 for s. 17 Solve 0 = -3*t - 3*b - 54, t + 5*b = 6*t - 40 for t. -5 Solve -457*d + 456*d + 3*n + 18 = 0, -3*d = -2*n - 26 for d. 6 Solve -5*g + 6801*z - 6820*z = -45, 0 = -4*g - 3*z + 36 for g. 9 Solve -2*t = -26*h + 28*h - 14, -5*h = -5*t - 15 for t. 2 Solve 763*d - 759*d = 16, d = -4*r + 4 for r. 0 Solve 0 = z - 5*d - 16, 61*z - 5*d = 127*z - 63*z + 12 for z. 1 Solve -6*d + 15 = -b - 9, -2*d = b for d. 3 Solve 4*i - 6*o - 6 = 0, -4*o - 4 = 39*i - 42*i for i. 0 Solve 0 = -6*q - 3*k - 9, -7130*q - 2*k - 8 = -7128*q for q. 1 Solve -5*h = 33*g - 38*g + 5, 0 = -3*g + h - 7 for g. -4 Solve 5*j + o - 39 = 0, 787*o - 788*o = 2*j - 15 for j. 8 Solve 5*w = 2*n + 25, -22*w = -4*n - 25*w + 15 for n. 0 Solve 3*t - 11 = -3*p + 28, -16 = -4*p for t. 9 Solve -4*i - 10593 = -2*r - 10597, -5*r = -4*i - 8 for i. 3 Solve 38*y - 42*y - 2*x - 18 = 0, -2*y + 11*x + 6 = 7*x for y. -3 Solve -4*x - 97*s + 86*s + 257 = 0, 4*x - 3*s = -65 for x. 1 Solve 1183 = 2*j + 3*x + 1172, -4*x + 4 = 0 for j. 4 Solve -4*f - 23 = i, 3*i = -5*f + 1595 - 1629 for i. -3 Solve -2767 = -5*d - 5*g - 2702, g = 8 for d. 5 Solve -21*i + 2*m = -22*i, i - 2*m + 4 = 0 for i. -2 Solve 3846*x + 2 = c + 3847*x, 3*x + 4 = -c for c. 5 Solve -v - 91*t + 90*t - 4 = 0, -5*v + 2*t - 20 = 0 for v. -4 Solve -4*r + o + 1116 = 1103, 4*r = 15*o + 27 for r. 3 Solve 3*r + 3*a - 15 = 0, 5*a = -7*r - 906 + 937 for r. 3 Solve 4*m + h = 44, -9*m + 187 = 8*m - h for m. 11 Solve 4*g = 237*j - 235*j + 6, -5*g = 4*j - 40 for g. 4 Solve -13 = -4*t + 5*k, 16898*t - k + 1 = 16899*t for t. 2 Solve -14*b + 4*x = -19*b - 13, 4*b + 2*x + 8 = 0 for b. -1 Solve 129*q = 2*n + 128*q + 27, n + 6*q = 188 for n. 2 Solve -5*z - 4 = -3*b, -3*z - 3*b - 35 = -23 for z. -2 Solve -2*m + 25*h - 30*h = 2*m, 0 = -2*m - 2*h + 2 for m. 5 Solve 0 = -15*i - 30, 6 = -4*j - 338*i + 333*i for j. 1 Solve 10*q = -2*v - 82, q + 5*v - 219 + 232 = 0 for q. -8 Solve -4*y - 166 = -3*h - 171, 5*h + 4*y - 45 = 0 for h. 5 Solve 0 = -3*n + k + 31, -4*n + 509 = -4*k + 457 for n. 9 Solve 4*v + 4*q + 28 = 0, -v - 469 + 492 = -5*q for v. -2 Solve -4*m - 15 = 3*b, m - 2175*b + 2170*b = 25 for m. 0 Solve -5*t + v = -67, -3*t = -3*v - 170 + 137 for t. 14 Solve -281 = 5*b - 5*h - 241, -5*b - 5*h = -10 for b. -3 Solve 5*h - 20 = -3*s, -3*s + 16 = 265*h - 264*h for s. 5 Solve -3*s - 37 = -2*u, -16*s = -20*s + 20 for u. 26 Solve -459*j = -456*j + 6, 2*j + 2 = a for a. -2 Solve 26 = b - 709*u + 711*u, 5*u - 47 = 2*b for b. 4 Solve -6*s = -v - 8*s + 10, 2*v = 6*s - 20 for v. 2 Solve -5*u + 70*k = 68*k + 85, -3*u - 4*k - 77 = 0 for u. -19 Solve 1 = 3*o - r, -246*o = -249*o - 2*r - 20 for o. -2 Solve -2*h + 31*v - 34*v - 2 = 0, 9 = -9*h + 5*v for h. -1 Solve 0 = 5*n - 60*s + 59*s + 5, 24 = -2*n - 4*s for n. -2 Solve -3*k + 2610 - 2620 = -5*f, -21 = f + 4*k for f. -1 Solve 2*x + 4 = 5*z - 3 - 21, -5*z + 20 = 0 for x. -4 Solve 3*u + 228 - 246 = 0, 21 = -z + 4*u for z. 3 Solve 4*s - 10 = -5*a, s - 4*a - 162 + 149 = 0 for s. 5 Solve -2 = 26*t - 31*t - 4*n - 10, 30 = 10*n for t. -4 Solve 4*i + 2*n = 22, 0 = -25*i + 20*i + 3*n for i. 3 Solve 31*p + 3 = 30*p + 3*g, -5*p - 15 = 3*g for p. -3 Solve 2*w - 3 = 3*w + 2*p, -15 = 5*w - 4*p for w. -3 Solve -72*i + 70*i + c = 12, -3*c = 3*i - 45 for i. 1 Solve 0 = m - 3*u - 29, -5*m = -3*u + 2937 - 2974 for m. 2 Solve -4*d + 42*i + 7 = 45*i, -d = -3*i + 2 for d. 1 Solve 0 = 86*k + 2*l + 172, -21*k + 2 = -22*k - 4*l for k. -2 Solve 19*m = 67*v - 68*v - 83, -m = -v - 3 for m. -4 Solve -3*d - 2*p - 31 + 30 = 0, 3
{ "pile_set_name": "DM Mathematics" }
ate prob of sequence ggv when three letters picked without replacement from {f: 3, x: 1, e: 2, g: 4, v: 1}. 2/165 What is prob of sequence bvj when three letters picked without replacement from vkzvttzzktbtkjz? 1/1365 Four letters picked without replacement from {d: 4, w: 4, m: 3}. What is prob of sequence mdmw? 2/165 Four letters picked without replacement from {b: 2, k: 1, e: 2, y: 8}. Give prob of sequence beyk. 4/2145 Calculate prob of sequence ms when two letters picked without replacement from mosssosmooososso. 7/120 Two letters picked without replacement from zmczcmzvzyvzzzz. Give prob of sequence cm. 2/105 Two letters picked without replacement from {x: 9, u: 4, h: 1, j: 2}. Give prob of sequence jh. 1/120 What is prob of sequence ro when two letters picked without replacement from {r: 7, u: 1, o: 1}? 7/72 What is prob of sequence hrr when three letters picked without replacement from uhxrffrurxuxxr? 1/182 What is prob of sequence ccb when three letters picked without replacement from {b: 2, c: 2}? 1/6 What is prob of sequence hhk when three letters picked without replacement from hwhwohoohwowwohhk? 1/136 Three letters picked without replacement from dbbbbbdbbbbdbbbbbd. Give prob of sequence bdd. 7/204 Calculate prob of sequence gu when two letters picked without replacement from {v: 9, u: 1, d: 1, g: 7}. 7/306 What is prob of sequence dpdd when four letters picked without replacement from {v: 3, a: 2, d: 4, p: 2}? 1/165 Calculate prob of sequence zzuf when four letters picked without replacement from {f: 5, z: 3, u: 3, w: 2}. 3/572 Two letters picked without replacement from kmvoozb. What is prob of sequence oz? 1/21 Two letters picked without replacement from mwrmrrrwgrggttrtwg. Give prob of sequence wt. 1/34 What is prob of sequence ez when two letters picked without replacement from oefzfzooeo? 2/45 Three letters picked without replacement from {k: 1, u: 19}. Give prob of sequence uuu. 17/20 Three letters picked without replacement from yybyybyybyybbbbyyybb. What is prob of sequence yyb? 11/76 What is prob of sequence ho when two letters picked without replacement from {h: 3, c: 2, i: 2, p: 2, o: 4}? 1/13 Three letters picked without replacement from ltmlmmmmtlttlkmt. Give prob of sequence lkt. 1/168 Two letters picked without replacement from {t: 8, o: 3}. Give prob of sequence oo. 3/55 What is prob of sequence ttm when three letters picked without replacement from {r: 9, c: 4, t: 2, m: 3}? 1/816 What is prob of sequence mt when two letters picked without replacement from vvtfvfmvtf? 1/45 Four letters picked without replacement from dbxcuucccub. Give prob of sequence dccu. 1/220 Three letters picked without replacement from wsewseewww. Give prob of sequence esw. 1/24 Three letters picked without replacement from {h: 1, e: 2, w: 2, v: 1, d: 1}. What is prob of sequence wvd? 1/105 Calculate prob of sequence cr when two letters picked without replacement from pprrprrc. 1/14 What is prob of sequence aak when three letters picked without replacement from ahaakhahsa? 1/36 What is prob of sequence zcc when three letters picked without replacement from zccc? 1/4 Three letters picked without replacement from {y: 12, m: 3}. Give prob of sequence ymm. 12/455 What is prob of sequence tltt when four letters picked without replacement from ltyyltyty? 1/252 Calculate prob of sequence ccc when three letters picked without replacement from {c: 3, b: 11}. 1/364 Calculate prob of sequence dkb when three letters picked without replacement from bkkkdkkkkgkkkdkb. 11/840 What is prob of sequence qww when three letters picked without replacement from bbbjbjbjqwwzjbbqjj? 1/1224 Three letters picked without replacement from ecevc. What is prob of sequence vee? 1/30 Calculate prob of sequence knp when three letters picked without replacement from {k: 1, f: 1, r: 1, n: 1, p: 2, x: 1}. 1/105 Calculate prob of sequence pj when two letters picked without replacement from {j: 2, y: 1, p: 10, h: 1}. 10/91 Calculate prob of sequence rj when two letters picked without replacement from raj. 1/6 Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeeeererreeee. 35/51 What is prob of sequence pzs when three letters picked without replacement from {f: 2, p: 2, s: 1, a: 1, z: 6}? 1/110 Calculate prob of sequence ny when two letters picked without replacement from jdjnnjbbdbay. 1/66 Four letters picked without replacement from tytttttytyyyttttty. What is prob of sequence tyyy? 1/51 Calculate prob of sequence dk when two letters picked without replacement from {d: 5, u: 1, x: 3, k: 1}. 1/18 Calculate prob of sequence quu when three letters picked without replacement from {u: 11, b: 2, q: 6}. 110/969 Calculate prob of sequence xlu when three letters picked without replacement from {x: 1, y: 1, u: 1, n: 2, l: 1, e: 9}. 1/2730 Calculate prob of sequence axtx when four letters picked without replacement from saaasxtavasx. 1/1188 What is prob of sequence vt when two letters picked without replacement from {t: 1, v: 2, r: 1}? 1/6 What is prob of sequence rr when two letters picked without replacement from {r: 3, e: 4, p: 7}? 3/91 Calculate prob of sequence cl when two letters picked without replacement from ddcdcvbdcclccvccbcv. 1/38 Four letters picked without replacement from {c: 5}. Give prob of sequence cccc. 1 What is prob of sequence jaa when three letters picked without replacement from ioaooijzjjbaooazoj? 1/204 Two letters picked without replacement from feoeoeeo. What is prob of sequence ef? 1/14 What is prob of sequence xiz when three letters picked without replacement from xxiixiixxxixzi? 1/52 Calculate prob of sequence ioi when three letters picked without replacement from iiiioiiiiiiioioiii. 35/272 What is prob of sequence xxxk when four letters picked without replacement from {b: 5, k: 1, x: 4}? 1/210 What is prob of sequence gg when two letters picked without replacement from {g: 2, c: 10, k: 3}? 1/105 What is prob of sequence ls when two letters picked without replacement from sullsuluu? 1/12 Four letters picked without replacement from uuuuuuuuunuuuuuunnuu. What is prob of sequence uuun? 2/19 Three letters picked without replacement from {l: 1, q: 1, m: 4, d: 4, o: 10}. What is prob of sequence old? 1/171 What is prob of sequence am when two letters picked without replacement from xxxxmxxmmcxmaxmaxxx? 5/171 Two letters picked without replacement from {f: 3, p: 2, a: 4, h: 1, j: 1}. Give prob of sequence fp. 3/55 Four letters picked without replacement from asaygtatqgqg. What is prob of sequence tgsa? 1/660 Three letters picked without replacement from jjpjzqmpnmmq. Give prob of sequence npp. 1/660 Three letters picked without replacement from jjjjkjejrrrrrjjejrr. What is prob of sequence rek? 7/2907 What is prob of sequence qgq when three letters picked without replacement from {q: 9, g: 7}? 3/20 Two letters picked without replacement from uimfiiofufoifeefefe. Give prob of sequence mo. 1/171 Calculate prob of sequence xxtt when four letters picked without replacement from xkxtxrxkrxxt. 1/198 Two letters picked without replacement from {p: 2, l: 9}. What is prob of sequence ll? 36/55 What is prob of sequence zjz when three letters picked without replacement from jzxxxojojjxjjzs? 2/455 Calculate prob of sequence qd when two letters picked without replacement from {g: 1, d: 3, q: 1}. 3/20 What is prob of sequence ykyn when four letters picked without replacement from yknkkykkkqkkq? 2/2145 What is prob of sequence mssm when four letters picked without replacement from smmmsmmmmmsmsmssmm? 11/204 Three letters picked without replacement from iiiiiuiiiiii. Give prob of sequence uiu. 0 Four letters picked without replacement from {v: 2, z: 5, i: 2, b: 2, s: 8}. What is prob of sequence sibb? 1/2907 What is prob of sequence kyyw when four letters picked without replacement from aaywywkawawkayaaawaa? 1/1938 Calculate prob of sequence gy when two letters picked without replacement from {v: 2, z: 1, y: 1, g: 4, b: 3, q: 7}. 2/153 Four letters picked without replacement from rfcaffzfrrrafcf. What is prob of sequence rffa? 2/273 What is prob of sequence tx when two letters picked without replacement from {m: 6, t: 1, x: 3, g: 2, b: 5}? 3/2
{ "pile_set_name": "DM Mathematics" }
assuming n is positive. n**(53/50) Simplify (w/w**6)**(26/3) assuming w is positive. w**(-130/3) Simplify ((k**(-1/54)*k)/k)/(k*k**21) assuming k is positive. k**(-1189/54) Simplify c*(c**(3/4)/c)/c*c/(c*c/(c/(c*c*c/(c/c**28)))) assuming c is positive. c**(-121/4) Simplify g**16*g/g**(-2/53) assuming g is positive. g**(903/53) Simplify (w/((w*(w/(w/(w/(w/(((w*(w/(w*w**(-15))*w)/w)/w)/w))*w*w)*w))/w)/w))/w**(-2/5) assuming w is positive. w**(-63/5) Simplify ((i/(i/(i*(i*i**(-1/3))/i*i)*i))/i)**(-1/12)*i/((i**(-3/5)/i*i)/i)*(i/i**(-7))/i assuming i is positive. i**(1733/180) Simplify b**(-3/5)*b*b**(-2/3)*b*b**(-1/5)*b*b**(-4/9)/b*b*b*b assuming b is positive. b**(139/45) Simplify l**(-1)*l**(-25) assuming l is positive. l**(-26) Simplify (a/a**(-1/3))/(a*a**5*a*a)*(a/((a*a/((a*a**(-6)*a)/a)*a)/a)*a*a)/(a/a**1) assuming a is positive. a**(-32/3) Simplify (v/((v/(v*v*v/v**(-1/3)))/v)*v*v**(-2/7))/((v*v*v**(-4))/(v**(1/7)*v)) assuming v is positive. v**(172/21) Simplify ((p/p**(2/15))/p**(-3/4))/(p**(-1))**47 assuming p is positive. p**(2917/60) Simplify m**6/(m*m*(m**(-5)*m)/m*m*m)*(m**(3/2)/m)/(m/(((m*m**(-2)/m)/m*m)/m)) assuming m is positive. m**(7/2) Simplify ((d**(-1/2))**(6/5))**(-3/7) assuming d is positive. d**(9/35) Simplify (g/((g*g**5)/g)*g)**(-7) assuming g is positive. g**21 Simplify k*k**(1/4)*k**21 assuming k is positive. k**(89/4) Simplify p*p**(2/27)*p/(p*p*p/p**(-2/39))*p assuming p is positive. p**(8/351) Simplify w*(w*w/(w/(w/w**(-16)))*w*w)/w*w*w/((w/(w/((w/(w/w**16))/w)))/w) assuming w is positive. w**8 Simplify (r**(2/7)*r/(r/((((r**(2/19)*r)/r)/r)/r)))/(r**(-1/7)/(r*r**(-1))) assuming r is positive. r**(-195/133) Simplify ((y**2*y)/y*y)**(-12/13)*((y/(y/(y/(y/(y*y**(2/27))))))/y*y*y)/y*(y**(-3)*y)/y assuming y is positive. y**(-1648/351) Simplify ((h*h**7)/h)/h**(1/17) assuming h is positive. h**(118/17) Simplify (c/(c*((c/((c/c**1)/c))/c)/c))**(1/47)/(c**0)**(-8) assuming c is positive. 1 Simplify (j*j**(4/7)*j)/((j*j*j**3)/j)*j**(1/10)/j**3 assuming j is positive. j**(-303/70) Simplify ((v/(v/(v**13/v)*v))/v)/v**(-16/7) assuming v is positive. v**(86/7) Simplify (l/(l/(l/((l*l/((l*l*l**(-1/15)/l*l)/l)*l)/l)*l)))/l**(-12) assuming l is positive. l**(194/15) Simplify ((s*s/(s/((s**2*s)/s))*s)**(4/7))**14 assuming s is positive. s**32 Simplify (h/((h*(((h/h**9)/h*h)/h)/h)/h))/(h*(h/h**3)/h) assuming h is positive. h**13 Simplify (f/((f**6*f*f)/f*f*f))/((f**(-7)/f)/f)*(f/f**(-1/3))**40 assuming f is positive. f**(163/3) Simplify (x/(x*x/(x/(((x/(x/(x*x*x**19*x)))/x)/x))))/(x*x/(x**(1/53)/x*x)) assuming x is positive. x**(-1165/53) Simplify ((w*w**(8/5))/(w*w*w/(w/(w**(-2/13)*w))))/(w**(-7)/w**(-1/2)) assuming w is positive. w**(813/130) Simplify w/w**(-2/13)*w**4*((w/(w**(-1/2)/w))/w)**(-11) assuming w is positive. w**(-295/26) Simplify ((d*d/d**(7/5))/(d*d*d*d**(-4/5)*d))**(-33) assuming d is positive. d**(429/5) Simplify (g**6)**(-10) assuming g is positive. g**(-60) Simplify (c/(c/(c/c**(2/5)))*c**(-3)*c)/(c/c**(-1/3)*c**(-4)) assuming c is positive. c**(19/15) Simplify (o*o/(o**(1/2)/o))**12 assuming o is positive. o**30 Simplify (a*a*a**(3/10)*a/(a**(9/2)/a))/(a**2/(a**(2/33)/a)) assuming a is positive. a**(-518/165) Simplify ((g/(g**5*g))/g**(-1/6))/(g*g/((g**(2/9)*g)/g)*g*g*g**5) assuming g is positive. g**(-245/18) Simplify (y*y**(-3/7)*y)/(y/y**(7/4)) assuming y is positive. y**(65/28) Simplify (d*d**(-6/19))/d**(-24) assuming d is positive. d**(469/19) Simplify ((a**21/a)/a*a)**(-30) assuming a is positive. a**(-600) Simplify ((x*x/((x*x**9*x*x)/x))/x)/(x*x*x**(-2)/x)*((x*x**0/x*x)/x)**21 assuming x is positive. x**(-9) Simplify (k**(-4)*k)/(k**(-4/5)/k)*(k**6/k)/k**3 assuming k is positive. k**(4/5) Simplify (n**29)**(-15/8) assuming n is positive. n**(-435/8) Simplify v**0*v*v/(v/v**(2/19))*(v*v**(-1)*v)**(2/57) assuming v is positive. v**(65/57) Simplify (x**39*x)/x**(1/27) assuming x is positive. x**(1079/27) Simplify (x*x*x*x**5*x*(x**14*x)/x)**(5/4) assuming x is positive. x**(115/4) Simplify (x/(x**(4/5)/x)*x)/(x**(1/4)*x)*x*x**(-5/2)*x*x*x/(x*x**1)*x assuming x is positive. x**(29/20) Simplify ((f/f**20*f*f*f*f)/(f**(-13/4)/f))**(-5) assuming f is positive. f**(215/4) Simplify u**(-4)/(u*u/(u/u**(1/15))) assuming u is positive. u**(-76/15) Simplify y**(-2/37)/y*y**(15/7)/y assuming y is positive. y**(23/259) Simplify g/g**(-34)*g*g**(2/9)/g assuming g is positive. g**(317/9) Simplify r**(-6)*r*r**(-8)*r**(-1)*r*r*r*r*r**(2/11)*r assuming r is positive. r**(-97/11) Simplify (c**1/(c**(-3/5)/c))**12 assuming c is positive. c**(156/5) Simplify (k*(k**(-2/7)*k)/k*k*k/k**(-5))/((k**(1/5)/k*k)/(k*k/(k/(k/(k**(-1)*k)*k)*k))) assuming k is positive. k**(333/35) Simplify y**(-13)*y**40 assuming y is positive. y**27 Simplify (u*(u*(u**(-7)*u)/u)/u*u)**(-2) assuming u is positive. u**10 Simplify (q/(q**4/q*q))/q**(1/5)*(q**(-2/5)*q)**(-2/159) assuming q is positive. q**(-170/53) Simplify m**(-1/4)*m/(m*m**(-3/10)) assuming m is positive. m**(1/20) Simplify c*c**(-1)/c*c*c**(-1/7)*(c*c**(-2/25)*c)/c**(-2/7) assuming c is positive. c**(361/175) Simplify (k**(-7)/k**(2/9))/((k*k**(1/3))/((k**(1/5)/k)/k)) assuming k is positive. k**(-466/45) Simplify (b/(b/b**(-2/15)))/(b**(-1/3)/b) assuming b is positive. b**(6/5) Simplify i**(2/5)/(i/i**0)*i/(i/i**(-2))*i**(1/4) assuming i is positive. i**(-47/20) Simplify (j**(-9)/(j**(-7)/j))/(j**(-2)*(j**(-5/2)/j)/j*j) assuming j is positive. j**(9/2) Simplify ((s/(s**6*s))/s*s*s*s**(-1)/s*s)/(s*s**(-1/3)*s*s*s)**(-2) assuming s is positive. s**(4/3) Simplify ((a*a*(a**7*a)/a*a*a*a)/((a*a**(-10)/a)/a))**32 assuming a is positive. a**736 Simplify x**18/x**(-15) assuming x is positive. x**33 Simplify (t/(t**9*t)*t**(-12))**(-31) assuming t is positive. t**651 Simplify g**(14/5)*g*g*g**(2/71) assuming g is positive. g**(1714/355) Simplify j*j*j**(-2/17)*j**(2/51)/j assuming j is positive. j**(47/51) Simplify ((w*(w*w/(w**13/w))/w*w)/w**16)**(-10) assuming w is positive. w**250 Simplify (k**1)**(1/7)/((k**(-11)*k*k)/k*k**3*k*k) assuming k is positive. k**(36/7) Simplify b**(-1/4)*b**(4/9) assuming b is positive. b**(7/36) Simplify (n/(n/(n*n**(3/26)*n)))**2 assuming n is positive. n**(55/13) Simplify y**(11/6)*y**1 assuming y is positive. y**(17/6) Simplify z**11*z**(-17) assuming z is positive. z**(-6) Simplify z**(-17)/(z/(z*z**(2/13)*z)*z) assuming z is positive. z**(-219/13) Simplify (n/(n/n**(2/11)*n))/n**26 assuming n is positive. n**(-295/11) Simplify (u**(-2/3))**33*u*u/(u**(-3)/u)*u**(-6) assuming u is positive. u**(-22) Simplify (u/u**(-18))/(u/((u*u/u**19)/u)) assuming u is positive. 1 Simplify ((y**(-1/6)/y)/(y**6*y))**(-13) assuming y is positive. y**(637/6) Simplify (w**(-5/3)/w)/(w*w*w*w**(3/13)*w*w*w*w)*(w**0)**(-8) assuming w is positive. w**(-386/39) Simplify ((x*x/(x**(-24)*x)*x)/x)/x*x**9 assuming x is positive. x**33 Simplify (d/(d**(2/45)/d))/d**(-3/2) assuming d is positive. d**(311/90) Simplify d**(-1/4)/(d**(-25)*d) assuming d is positive. d**(95/4) Simplify ((u/((u/(u/(u*u**(-4/3))*u)*u)/u)*u)/u**(1/5))/(u**1*u**(-4)) assuming u is positive. u**(92/15) Simplify (s**3*s)**(-3/7) assuming s is positive. s**(-12/7) Simplify (m*m*(m/((m*m**(8/3))/m))/m*(m**(1/15)/m)/m)**(1/42) assuming m is positive. m**(-13/210) Simplify (u**(10/3)*u*u)/u**(-2/67) assuming u is positive. u**(1078/201) Simplify (n*(n*n**20)/n)/(n/(n**24*n)) assuming n is positive. n**45 Simplify p**(-3/8)*p**(6/11)/p assuming p is positive. p**(-73/88) Simplify (f**(-4)*(f/(f**(2/7)*f))/f)**(3/2) assuming f is positive. f**(-111/14) Simplify ((o*(o**(2/7)*o)/o)/(o*o**(-3/7)))/(o/(o/(o**(-1/5)*o))*o**0) assuming o is positive. o**(-3/35) Simplify ((o**(2/11)*o*o)/o)/(o/o**(5/4))*o/(((o*o**(2/5))/o)/o*o)*o*o**(1/4) assuming o is positive. o**(361/110) Simplify (r/((r**(2/37)/r)/r*r))/r*r*r/(r*r**3/r) assuming r is positive. r**(-2/37) Simplify (s**(1/4)/s)**(-5/12)*(s/(s*s*s*s**(-3)/s*s))/(s/s**(1/6)) assuming s is positive. s**(23/48) Simplify p**(2/11)*p*(p/(p/(p/(p/p**49))))/p assuming p is positive. p**(541/11) Simplify ((v*v**(-2/7)/v)/v)**(1/10)/(v**1*v*v)**(-3/2) assuming v is positive. v**(153/35) Simplify f**(2/5)/(f*f**(7/4)) assuming f is positive. f**(-47/20) Simplify ((a/(a**4/a)*a)*
{ "pile_set_name": "DM Mathematics" }
-0.1, 1/2 Let z(i) = 2*i**2 + 8*i + 12 - 3*i**2 - 5. Suppose 7*t - 27 = 36. Let a be z(t). Put a, -6, -3 in decreasing order. a, -3, -6 Let t be (-12)/30 - (-2)/5. Suppose 8*s - 26 - 6 = t. Put s, 3, -7 in descending order. s, 3, -7 Suppose -2*g = 3*q - 5*g - 3, 5*q + 3*g = 13. Let x be -2 + (-69)/12 - q/8. Suppose 4*z = p + 10, 0*z - z + 11 = 4*p. Sort x, -1, z. x, -1, z Let k = -698 + 697.6. Put 24, k, -0.1 in descending order. 24, -0.1, k Let n = -0.104 - -0.004. Sort 0, n, -11, -2 in decreasing order. 0, n, -2, -11 Let g = 11 + -9. Sort -101, g, 4 in increasing order. -101, g, 4 Suppose 24*l = 28 + 44. Sort l, 22, -5. -5, l, 22 Let m = -1 + 0.7. Let v = -152.83 + 153. Sort v, m, 2/15 in decreasing order. v, 2/15, m Suppose -5*x = -3 + 13. Suppose 42 = u + 34. Suppose 0 = 2*y - u*y - 24. Put x, -5, y in increasing order. -5, y, x Let v be (-8)/(-4) - (2 - 4). Suppose 0 = 2*u + 3*g + 7, -v = 3*u + 3*g + 2. Let m = 2 - 2.3. Put m, -0.1, u in decreasing order. u, -0.1, m Suppose 113*o - 15*o - 392 = 0. Let i = -0.1 - 0. Put -4, o, i, 0.4 in descending order. o, 0.4, i, -4 Let v be (-58)/(2/9 + 228/(-54)). Put 0.2, v, 0.1 in increasing order. 0.1, 0.2, v Let w = -3 + 2.7. Let s = 10086 + -30254/3. Sort s, 10/7, w, 1/9 in decreasing order. 10/7, s, 1/9, w Suppose -4*o + 1 = -11. Let b = 1 - -1. Suppose -2*g + 13 + o = -4*k, 0 = b*g - 8. Sort 4, 1, k in ascending order. k, 1, 4 Let p(q) = 53*q + 262. Let a be p(-5). Suppose -2*v + 6*v + 20 = 0. Let i = v - -7. Put i, -5, a in decreasing order. i, a, -5 Let v be -39*(6 + 12/36). Sort -4, v, -1, 2. v, -4, -1, 2 Let m be (-1)/((-2)/(-14)) + (-9 - -17). Let y = -7 + 3. Put 5, m, -1, y in increasing order. y, -1, m, 5 Let m = -24 - -29. Let h = 13 + m. Sort h, 0, -2, 1. -2, 0, 1, h Suppose -5*o - 27 = -2*z, -z + 2 = -2*o - 9. Sort 4, -549, o in ascending order. -549, o, 4 Let j = -167 - -165. Put 9, -7, j in increasing order. -7, j, 9 Suppose 5 = 5*u + 2*c, 69*c = -3*u + 68*c + 2. Let x = 0 + 2. Put u, -3, x in decreasing order. x, u, -3 Suppose -r + 0*p + 68 = -3*p, r + 4*p - 103 = 0. Let v = r + -85. Put 2, 3, v in ascending order. v, 2, 3 Let a = 724/3 + -243. Let y = -26 - -25.5. Sort y, -2/3, -4/13, a in ascending order. a, -2/3, y, -4/13 Suppose 14 = 2*n - a, -5*n + 4*a + 38 = -0*n. Sort 3, -4, 4, n in decreasing order. n, 4, 3, -4 Let d(n) = n + 23. Let o be d(-19). Let s be (-2)/8 + 1/o. Put s, 4/7, 4/3 in decreasing order. 4/3, 4/7, s Let l = -374 + 313. Put -1, 0.2, l in descending order. 0.2, -1, l Suppose 3*b + 62*z - 67*z - 31 = 0, -z - 5 = -b. Let j be (-6)/10*(-4)/(-6). Sort b, -1, j in ascending order. b, -1, j Let g be (2/(-6))/(1/(-3)). Let o be (-4)/((-2)/g) + 1. Let t(m) = -17*m - 15. Let l be t(-1). Put l, o, -1 in descending order. o, l, -1 Let w = 34 - 33. Let c = w - -2. Put -1, c, -3 in descending order. c, -1, -3 Let t = 2 + -2. Suppose 0 = -9*u + 4*u - 40. Let q = -15.9 - -16. Sort t, q, u. u, t, q Suppose 55*m - 508 = -2543. Put -4, m, 0 in decreasing order. 0, -4, m Let p be -25 + 30 - (5 - 1). Sort -1/3, p, -6 in decreasing order. p, -1/3, -6 Let n(f) = 2*f**2 - 9*f - 4. Let m be n(0). Let b = 1.6 + -1.1. Sort b, 4, m, 29. m, b, 4, 29 Let s = -322 + 321.97. Sort -0.4, -1, 3/7, s in decreasing order. 3/7, s, -0.4, -1 Let r(k) = k**2 - 5*k + 3. Let f be r(0). Suppose f*z - 36 = 12*z. Sort -10, 5, z in decreasing order. 5, z, -10 Suppose -3*i = -4*p + 4, 59*i - 5 = -5*p + 61*i. Put -9, p, -1 in descending order. p, -1, -9 Suppose 6*p + 660 = 9*p. Sort 3, p, -2 in decreasing order. p, 3, -2 Let o(i) = 27*i + 140. Let t be o(-5). Sort -15, -4, t, 2 in increasing order. -15, -4, 2, t Let i = 362 - 361.8. Put -0.3, i, 17 in ascending order. -0.3, i, 17 Let w = 7.36 - 7. Let c = w + -0.06. Let y be (0 - 1) + 1 + -2. Sort y, c, 2/7 in descending order. c, 2/7, y Let k = 1.41 + -1.31. Let u = 29.9 + -26. Sort k, 4, u. k, u, 4 Let z be (-27)/(-5) + 2/(-5). Suppose 0 = 3*g - z*y - 50, 0 = 2*g - 5*g - y + 80. Let i be (8/10)/((-5)/g). Sort -3, 1, i. i, -3, 1 Let n = 109.3 - 89. Let w = n - 19. Let c = w + -6.3. Put 3, c, 0.4 in descending order. 3, 0.4, c Let w = 10 + -6. Suppose -3 = 2*i + w*t - 1, 10 = 4*i + t. Suppose 6*h + 18 = i*h. Sort h, -1, -2 in descending order. -1, -2, h Suppose -13*j - 124 = -501. Put j, 1, 4 in decreasing order. j, 4, 1 Let j(i) = 7*i**2 + 119*i + 3. Let k be j(-17). Let z = 7 + -4. Let g = 1 + z. Sort g, -4, k in decreasing order. g, k, -4 Suppose 41*y - 40 = 21*y. Let k = 1.2 - 1. Sort -0.5, y, 3, k in ascending order. -0.5, k, y, 3 Suppose -4*u = 15 - 3. Let c(g) = g - 9. Let v be c(7). Let a be (-2 - -4)*(v - -1). Sort 0, a, u in increasing order. u, a, 0 Let w be 3/(4/((-40)/(-105))). Sort 5, w, -3/25 in decreasing order. 5, w, -3/25 Let n = -0.76 - -0.7. Let i be 2/(20/((-16)/4)) + 1. Let b = -13/30 + i. Sort n, b, 2/11 in descending order. 2/11, b, n Suppose -502*c + 493*c - 45 = 0. Put 0.6, -4, c, 5 in decreasing order. 5, 0.6, -4, c Suppose -13*k = -5*k + 104. Suppose 20*x = 26*x + 12. Sort -5, k, x, 4. k, -5, x, 4 Let x = 23.5 + -22.5. Let q = -0.05 + -2.95. Sort 0.2, x, 0, q. q, 0, 0.2, x Let w = 735.9 + -736. Put 3, w, -0.2, -1/14 in ascending order. -0.2, w, -1/14, 3 Let z(l) = 2*l**2 + 15*l + 9. Let o be z(-7). Suppose o*d + 2 = -4. Sort -13, -1, d. -13, d, -1 Suppose -2*a - 2*a = p - 85, -20 = -4*p. Let z = 1 + a. Let f = 26 - z. Sort 1, f, -3. -3, 1, f Let r(m) = -m. Let j be r(4). Let l = -8060 - -8060.5. Sort l, j, -2 in descending order. l, -2, j Suppose -4*l + 4*d - 224 = 220, -2*d - 555 = 5*l. Let j = 115 + l. Sort 3, 5, 1, j in increasing order. 1, 3, j, 5 Suppose -4 = 2*o - 0. Let w(f) = -2*f**2 - 6*f + 6. Let x be w(-4). Let j be (x - -8 - 5)/1. Sort o, j, 3 in descending order. 3, j, o Suppose -6*d - 14 = -7*d. Put d, -1, -4 in decreasing order. d, -1, -4 Suppose -j = 2*p - 10, 5*p - 26 = -0*p - 3*j. Sort p, 0.08, 5, -5 in descending order. 5, p, 0.08, -5 Suppose 3*m - m + 4*z - 12 = 0, 0 = 2*z - 10. Let f(i) = i**2 + 1. Let y be f(2). Put m, -1, y in descending order. y, -1, m Let u(q) = -2*q + 7. Let y be u(5). Suppose 27 = 5*v - 3. Let d be (-32)/(-12)*v/8. Sort -1, y, d. y, -1, d Let t = 35 - 59. Let a = t - -23. Put 2, a, -9, 1 in decreasing order. 2, 1, a, -9 Let h = 0.26 - 12.26. Let o = h - -11.9. Let c = 0 - o. Sort -2/9, c, 5 in descending order. 5, c, -2/9 Let y be (-15)/2*8/(-6). Suppose -7*z + 21 = -y*z. Let p = 3 + z. Sort -5, p, -3. -5, p, -3 Suppose 0 = 2*c - 6*f + 2*f + 6, 5*f - 7 = 2*c. Let v be (-23 - -24)/(1*(c + 0)). Sort 2, v, -3, 4. -3, v, 2, 4 Let q be 4*(-9)/6*(-11)/22. Sort -12, q, -16 in descending order. q, -12, -16 Let b be ((-5)/15)/((-79)/6). Put 1, b, 0.07, 3 in decreasing order. 3, 1, 0.07, b Let y be -2*(-4)/(-44) + 5614/22. Sort -4, -5, y in increasing order. -5, -4, y Suppose 19 = 4*l - 101. Let b = 211/7 - l. Let c = -8 - -10. Sort c, b, -0.4. -0.4, b, c Let h = 0.0406 + -0.0406. Let t = 0 - -1. Sort t, h, -2 in ascending order. -2, h, t Suppose 0 = j + 7*j + 280. Let z = 46 + j. Suppose -r + 9 = z. Sort 5/4, r, -0.3 in ascending order. r, -0.3, 5/4 Let u(z) = 2*z**3 - 28*z**2 - 29*z - 13. Let t be u(15). Let w = -2.9 - -3. Sort w, t, -4 in increasing order. -4, w, t Suppose -13*w - 20 = -23*w. Let j(u) = -6*u - 1. Let c be j(-1). Let z = c - 4. Sort z, w, -4 in ascending order. -4, z, w Let o = 2 - -2. Let c = -408.6 - -396.6. Put o, c, -1 in ascending order. c, -1, o Let a = -29/1144 + 9/88. Sort -2, -0.3, 0, a. -2, -0.3, 0, a Let n(q) = q**2 + 10*q - 12. Let s be n(-11). Suppose 0 = -13*z + 9*z + 16. Sort z, 2, 5, s in descending order. 5, z, 2, s Let n = -4 - -4.4. Let j = -8685/7 - -1241. Sort n, -2, j, 1/3 in increasing order. -2, j, 1/3, n Let o = 270 + -270. Let a = -218/3 - -72. Sort 3, a, o. a, o, 3 Let l = -16.15 + 14.15. Sort -4.8, -5, 0.1, l in descending order. 0.1, l, -4.8, -5 Let y(q) = q**2 + 26*q - 86. Let x be y(3). Sort x, 136, 0. 0, x, 136 Suppose -2*y + 3*s = -19, 3*s + 15 = -0. Let u = -58 - -57. Put y, 3, u in increasing order. u, y, 3 Let b = -0.602 + 0.632. Put 5, b, -0.7 in descending order. 5, b, -0.7 Let z = 24 + -3. Let c be (-7)/(z/(-6)) - 1. Suppose 2*t - 9 = -v, 0 = -2*t + 3*v - 12 + c. Sort 4, -5, t in decreasing order. 4, t, -5 Let m = 0.4601 - 0.0601. S
{ "pile_set_name": "DM Mathematics" }
16 Let y = -22.019 - -0.019. Let z = 27 + y. Let h = 0 + -3. What is the smallest value in 0.3, z, h? h Let y = -417784/3257221 - -4/8003. Let f = y - 2/37. Let t = -0.2 - -0.7. Which is the second smallest value? (a) t (b) 6 (c) f a Let x = -9 + 14. Suppose -d - 8 = -x*d. Let c be (2/5)/(d/(-20)). What is the second biggest value in 3/8, c, -2? -2 Let i = 0.3 - 1.3. Let u = -2.765 - -2.365. Which is the third biggest value? (a) i (b) u (c) -65 c Let n = 1071.75 - 1072. Which is the second smallest value? (a) n (b) 5 (c) 1 (d) -4 a Suppose -2*y - 5*h + 1 = 7, 12 = 5*y - h. Let r be ((-48)/240)/((-6)/(-5)). Which is the biggest value? (a) -5 (b) y (c) -1/2 (d) r b Let p = -152 + 146. Let c = -19 - -38. Suppose -4*d + q = c, -q = -5*d - 0*q - 24. What is the second biggest value in d, 1/8, p? d Let w = 13 + -14.8. Let n = -3.2 - w. Let p = n - -2.4. Which is the biggest value? (a) p (b) 4 (c) -4 b Let t(r) = -r**3 + 10*r**2 - 24*r - 5. Let g be t(6). What is the third biggest value in -2.8, -4, g, 5? -4 Let g = -486.1 - -486. What is the smallest value in g, -0.5, -4/7? -4/7 Let j = 20 - 20.5. Let a = -8.91 - -0.91. What is the third biggest value in j, -1/3, a? a Let k = -1.27 - -2.57. Let z = 2.8 - -2.2. Which is the smallest value? (a) k (b) z (c) 3 a Let y be (((-3 + 1)/(-2))/4)/1. What is the second smallest value in -14, -0.5, 3, y? -0.5 Let p = -16.1 + 14. Let j = 1.6 + p. Let k = -5 - -6. What is the third biggest value in 0.2, k, j? j Let z = -1 - -5. Let j be 4*1/6*18/(-24). Which is the second biggest value? (a) z (b) j (c) 40 a Let o = -114.8 - -109.8. Let w be (-1)/(28/(-96)) - 2. What is the second smallest value in o, w, -0.1? -0.1 Let r be 2/14 - (-464)/(-504). Let n = r - 31/18. Let v = 1193/1446 + 2/241. Which is the third biggest value? (a) n (b) v (c) 0 a Let i = -26.1 + 19.1. Which is the second smallest value? (a) 0.1 (b) i (c) -1 (d) -0.2 c Let k be 1284/(-44) - 2/(-11). Let q = -14 - k. Let y be (-10)/48 - (-5)/q. What is the second smallest value in 0.02, y, -1? 0.02 Let n = 0.29 + -0.89. Let x = 61/315 + 1/35. Let t = -0.205 - 0.795. Which is the second smallest value? (a) x (b) t (c) n c Suppose -23 + 3 = 5*r. Let k be (0 + r)/(14 - 9). Which is the smallest value? (a) -4 (b) 0 (c) 5 (d) k a Let f = -4.2 + 8.9. Let j = 0.5 - f. Let u = j - -4. Which is the third smallest value? (a) u (b) -1 (c) 5 c Let u = -1031 - -2061/2. Which is the biggest value? (a) u (b) -5 (c) 0.01 (d) 0.3 d Let l be ((-3)/(-6))/((-34)/(-102)). Which is the third biggest value? (a) 0.4 (b) l (c) -0.06 (d) 0 d Let p = -87.994 - -87. Let x = 0.006 - p. Which is the second smallest value? (a) 2 (b) x (c) -4 b Let q = -368 - -363. Which is the fourth smallest value? (a) q (b) 1.5 (c) -2/3 (d) 4 d Let k = -53 + 53.38. What is the third smallest value in k, 4, 3/2? 4 Let z = -40 + 59. Let y = 18.98 - z. What is the smallest value in 2/7, 0, y? y Let r = -0.19 - 42.81. Let p = 43.1 + r. Let o = -2 + 6. Which is the second biggest value? (a) -3 (b) o (c) p c Let y = 0.687 + -0.187. Let g be (-3 + 4)*(-2 - -3). Which is the fourth smallest value? (a) -5 (b) -3 (c) g (d) y c Let y be (-116)/(-112) + 2/(-7). Let q = 956/5 + -5731/30. Which is the fourth smallest value? (a) -0.1 (b) 3/7 (c) q (d) y d Let p = 1489 + -1493. What is the biggest value in p, 2/7, -0.0424? 2/7 Let l = 106.5 + -106. Which is the biggest value? (a) 0.01 (b) -9 (c) l (d) -5 c Let b(p) = -p**3 - 29*p**2 + 62*p + 2. Let n be b(-31). Let g = 4 - 3. What is the second smallest value in n, g, -0.1? g Let n = 29.8 - 30. Let u = n + 4.2. Let o = u + -9. Which is the second smallest value? (a) -2 (b) 0.1 (c) o a Let f = -0.48 + -0.02. Let l = -0.66 - 0.1. Let q = -0.65 - l. Which is the second biggest value? (a) q (b) f (c) -0.3 c Let z be ((-2)/5)/(126/15 + -6). Which is the fourth biggest value? (a) 0.2 (b) 50 (c) -3/4 (d) z c Let y(h) = h**3 - 3*h**2 - 9*h - 6. Let g be 7 - 4 - (-2 + 0). Let o be y(g). Which is the smallest value? (a) o (b) 6 (c) 0.5 a Suppose 30 = q + 10. Let k = q + -17. Suppose 4*l - 2*r = k*l + 1, -r - 2 = 0. What is the biggest value in 0.06, l, 4? 4 Suppose 4*g = 1 + 11. Let y be (-1)/((1/(-8))/((-2)/4)). What is the fourth biggest value in 0.3, g, y, 5? y Let r = -169 - -169. What is the second smallest value in 129/7, r, 0.4? 0.4 Let z = 373 + -381. What is the second smallest value in -4, z, 1/5? -4 Let y = -0.8 - 0.2. Let o = 0.96 + 0.04. Let j = 0 + 2. What is the third biggest value in y, o, j? y Let y = 0.2 - 0.5. Let n = -31 - -46. Let u be (-33)/(-44)*(-8)/n. What is the biggest value in -5, y, u? y Let v = -20 - -23. Let h be (34/(-6) + 3)*(-11)/(-396). What is the biggest value in v, -5, h? v Suppose -89 = 4*k + 63. Let f = k - -40. Suppose -4*j = -j + 4*r - 27, 0 = -f*j - 4*r + 22. What is the third biggest value in 3/7, j, -1/4? -1/4 Let v be ((-3)/(-15))/((-318)/(-317) + -1). Let w = v + -64. Which is the biggest value? (a) 3 (b) w (c) 64 c Let r = 707 + -6362/9. Let z be 5*(-3)/(-6)*2. What is the third biggest value in 2, r, z, 0? r Let w = 1/140 - 71/140. What is the second smallest value in w, 10/7, 1? 1 Let r be (16/(-12) - 0)/(98/21). What is the second smallest value in 6, 5.7, r, 0.4? 0.4 Let a = -11.3 + 10.7. What is the third smallest value in 0.2, 12, a? 12 Let d be 1*(-9 + 8) + 4. What is the second biggest value in d, -0.3, 2? 2 Let r = -27.29 - -14.11. Let i = r + 0.18. Let w = i + 13. Which is the third biggest value? (a) 4/5 (b) 2 (c) w c Let g = 396 + -396.1. Which is the second biggest value? (a) -1/3 (b) g (c) -7 (d) 0.1 b Let u = 1.9 - 2.5. Let t = u + 0.7. Which is the smallest value? (a) t (b) 3/5 (c) 0.4 a Let f = -0.0325 + -79.3675. Let r = f + 79. What is the smallest value in 3, r, -3? -3 Suppose -2 - 5 = -7*j. Let h = -25/4 + 167/28. Let t = 14/13 + -83/65. Which is the third smallest value? (a) j (b) t (c) h a Let g = 0.1 + -0.5. Let t = -1.92 + -0.41. Let d = -0.33 - t. Which is the smallest value? (a) d (b) -2/7 (c) g c Let v = -0.76 - -0.8. Let f = -0.32 + v. Let z = f - 0.12. Which is the third smallest value? (a) z (b) 2 (c) 3/7 b Let o = -797.4 - -797. What is the smallest value in 2, o, 4/233? o Let z = 0.03 - 0.03. Let m = 3 - z. Which is the smallest value? (a) m (b) -3 (c) -1/3 (d) 1/3 b Let b(q) = q**3 + 10*q**2 - 3*q - 5. Let f be b(-9). What is the third biggest value in 4, -0.2, f, 0? 0 Let n = -3.78 - -3.88. Which is the second biggest value? (a) -3 (b) 3 (c) n (d) -6 c Let m = 99.3 + -12.3. Let v = 93 - m. What is the biggest value in v, -0.2, -2/13? v Let z = -5.017 + 5.517. Let o = 18 - 12. Which is the fourth smallest value? (a) 0.2 (b) z (c) -1/10 (d) o d Let r = -867.5 - -859. Which is the third biggest value? (a) -4 (b) r (c) -3 b Let p be -3 + (-2 - -2) + -1. Let s = -3635 + 3635.6. What is the third biggest value in p, -2, s? p Let k = -225 + 222. Which is the smallest value? (a) k (b) 2/5 (c) 2/9 (d) 0.11 a Suppose -3*h + 6*h + 9 = 0. Suppose 0 = -3*i - 5*s + 28, 7*i = 2*i + s. Which is the biggest value? (a) h (b) i (c) 1/2 b Let w be ((-4)/(-12))/(-2 + 1). Suppose -4*c + 6 = -2*k, 0*k - k + 7 = 3*c. Let b be (-9)/105 + 2/7. What is the second smallest value in b, w, k? b Let l = -55 - -55.05. Let r = -0.05 - l. Which is the biggest value? (a) 1 (b) r (c) 7 c Let h = -0.431 - -0.131. Which is the smallest value? (a) h (b) 3 (c) 1/66 a Let i = 58 + -34. Let q = -3.35 + 27.85. Let y = i - q. Which is the third biggest value? (a) 3 (b) 3/5 (c) y c Let a = -0.11 - -0.21. Let x = 2.07 - 0.07. What is the second biggest value in 1, x, a? 1 Suppose 29 = -3*h + 23*m - 28*m, -4*m - 28 = 4*h. Which is the second biggest value? (a) 2/11 (b) 0.2 (c) h (d) 65 b Let s be ((-6)/8)/(24/64). Which is the biggest value? (a) 4 (b) 5 (c) s b Let t = -67/85 + 10/17. Let z = -13.6 - -3.3. Let s = z + 10. Which is the second biggest value? (a) -4 (b) t (c) s c Let v = 6.3 + -1.3. Which is the third smallest value? (a) 5/3 (b) 3/8 (c) v (d) -2/13 a Let g be 2*2*(-11)/(-220). Which is the third biggest value? (a) g (b) 0.3 (c) 0.5 (d) -4/5 a Let g = 7486/33 - 680/3.
{ "pile_set_name": "DM Mathematics" }
uppose 3*p + 2*p - 95 = -5*b, -b = -4*p + y. Suppose -3*i - 13*m = -9*m, -i = -2*m - 10. Solve 0*k + k + p = i*x, 5*x + 4*k - 37 = 0 for x. 5 Suppose -4*s - 28 + 44 = -2*t, s + 3*t - 4 = 0. Solve -24 + 26 = 3*d + a, -8 = -4*d - s*a for d. 0 Let v(t) = -41*t - 4015. Let k be v(-98). Solve -4*y - p + 16 = 0, -22*p = -k*y - 21*p + 19 for y. 5 Suppose 4*g = -8, -10 = 2*b + 2*g - 28. Suppose -4*q = -c - b, q + 4 = -2*c - 0. Solve 0 = -y - q*f - 2, 3*y - 2*f - f = 3 for y. 0 Suppose 25*r = 16*r + 5463. Let y = r + -605. Suppose -2*f + 5 - 10 = 5*v, 5*f + 5*v + 5 = 0. Solve 0 = y*i + b + 4, -3*i + f*i = b + 4 for i. 0 Let o(h) = -246*h - 24. Let v be o(11). Let n be (-6)/(-33) + v/(-231). Solve -5*g = -d + n, -d - 3 = d - g for d. -3 Suppose 2*f = 3*q - 14, 205*q + 2*f + 14 = 203*q. Solve q = -2*i + 3*h - 2, -5*h + 36 = 4*i - h for i. 5 Let c(w) = -w**2 - 19*w. Let t be c(-19). Suppose 20*j - 24*j + 176 = t. Suppose -3*o = -j + 14. Solve -5*x - 50 = -5*s, 10 = -s - 5*x - o for s. 5 Let j be ((-12)/(-90)*6)/(2/5). Suppose -j*s + 70 = 50. Let a(u) = -u**3 - 9*u**2 - u - 9. Let t be a(-9). Solve t = 5*d - 3*i + s, d - i = i + 5 for d. -5 Let h = 2300 - 2298. Solve 15 = -5*x - 5*a, -16*a + 11 = -h*x - 19*a for x. 2 Let o be (2296/(-1680) - (-4)/(-30))*-2. Solve -o*n = -6, -b - 10 = -3*n - 2 for b. -2 Suppose 2*g = -5*w - 772 + 765, -4*w - 32 = -5*g. Solve 0 = 2*u - 5*h - 10, 3*u - g*u = 3*h + 17 for u. -5 Suppose -2 = h - 3*h - 2*p, -5*h - p = -1. Let z = h + 9. Let r be (((-6)/z)/2)/(8/(-72)). Solve 3*l - r*c = -0*l + 3, c = -2*l - 10 for l. -3 Suppose x - 7 = -3*g, -g + 3*x + 2263 - 2254 = 0. Solve -5*m - 2*z = 33, -m + 7 = -0*m - g*z for m. -5 Suppose 728*n + 50 = 753*n. Solve 3*j - 8*r - 1 = -7*r, -4 = n*j - 3*r for j. 1 Suppose 208 = -9*l + 235. Let a be 7 + 10/(-45)*l*3. Solve -2*y - 5*j + 15 = 0, a*y + j - 7 = -27 for y. -5 Suppose 5*o - 3*n = 11, 2*n - 17 = -2*o - n. Suppose 16*v - 84 = 4*v. Let s(g) = -g + 9. Let d be s(v). Solve 0 = 4*j - o*y - 24, -d*j - y + 4 = -2 for j. 4 Let a = 0 + 4. Suppose 3*r + 2*m - 19 = 0, m - 40 = 5*r - 50. Solve 4 = -0*v - 3*v + h, -r*v = -5*h - a for v. -2 Let w(v) = -3*v - 27. Let i be w(-9). Suppose -11 - 17 = -14*k. Let t be 16/k*6/16. Solve i = -2*l - 0*l - 2*n + 18, -t*n = -3*l + 3 for l. 5 Let b be (2/(-3))/(4*(-2)/48). Suppose -b*x = 5*x - 720. Let j = x + -77. Solve -5*d + j*i = -2*i - 25, 3*i = -5*d + 25 for d. 5 Let z(r) = -5*r - 1. Let f be z(-1). Suppose 18268*a = 18133*a. Solve f*i = 2*h + 8, a*i - 4*h = i + 7 for i. 1 Let a = 181 + -169. Let g be (-3)/6 - 1/(-2). Let n(o) = -2*o**2 - 6*o + 12. Let w be n(-4). Solve -4*p = -x + w*x - 29, g = -4*x + a for p. 5 Let s = 13780 + -13780. Solve s = -3*j + 2*t - 4 + 1, 2*t + 1 = -j for j. -1 Suppose 10*z - 65*z = 22*z - 2079. Solve -27*u + z = -5*h - 26*u, -3*h + 4*u = 23 for h. -5 Let h(v) = -16*v + 68. Let i be h(5). Let a be (35/(-21))/(3 - (-46)/i). Solve -3*u + 0*d = -d - 2, 0 = 4*u - a*d for u. 2 Suppose 2008 = 66*i + 160. Solve -u = -5*y + i, -3*y + 15 + 6 = -2*u for u. -3 Suppose b - 2*b + 2 = 0. Suppose -57*o + 26852 = -25132. Let p = o + -910. Solve 2 = 4*u - 3*h, b*u + 0*h - p*h = 0 for u. 2 Let o(b) = -b**2 - 5*b + 2. Let x be o(-5). Suppose 27 = x*h + 21. Let u(n) = n**3 + 2*n - 1. Let w be u(1). Solve 5*f + 6 = -5*p + p, -p - h*f + w = 0 for p. -4 Suppose 5*b + x = 68, 10 = -x + 8. Suppose 5 = 4*t - 3. Suppose -5*q + j + 90 = 0, t*q - 3*j - 63 + b = 0. Solve 5*k - q = -4*o, 5 = 5*o - 3*k - 7 for o. 3 Let r = -4237 + 4241. Solve -n - 21 = -r*s, 11*n - 6*n + 5*s = 20 for n. -1 Let z = 721 - 1082. Let q = -357 - z. Solve -5*y = -4*h + 9, -5*h - 5*y + q = -4*y for h. 1 Let g = -6542 + 6547. Solve -35 = g*b + 11*n - 16*n, -25 = 3*b - 5*n for b. -5 Let f = 162 + -153. Suppose f*r + 23 = 41. Solve h + 10 = -5*b, 6*b + 2*h + 14 = r*b for b. -1 Suppose 23*r = -169 + 721. Solve 5*b + 11 - r = -p, -b = -3*p + 7 for p. 3 Let g = -11 + 28. Let x(i) = 2*i**3 - 9*i**2 - 4*i - 2. Let y be x(5). Solve 2*f = -0*k + y*k - 11, 4*f - 5*k + g = 0 for f. 2 Let d = -7023 + 7025. Solve 5*r = -2*c + 35 - d, 5*c = 4*r for r. 5 Suppose 80*b - 777 - 1063 = 0. Solve g - 29 + b = t, 25 = -5*t + 4*g for t. -1 Suppose 4*d + c - 17 = 0, -4 = 4*c - 24. Suppose -4*n + 226 = -2*u, -5*u = d*n + 2*n - 245. Let j = -47 + n. Solve 0 = w + 3*o - j, 2*w + 1 = -3*o + 2*o for w. -2 Suppose -3*y - 32 = -5*y + 8*w, -y - 5*w = 11. Solve 4*u = 2*h, u = 5*h - y*u - 10 for h. 4 Suppose -15*h - 40 = -20*h, 2*h = 7*x + 2. Solve -4*j + 2 = -2*q, -x*j + 282 = -2*q + 280 for j. 0 Suppose 0 = -3*a - 5*z + 27, 7*a + 4*z - 28 = 3*a. Solve 1 + a = 5*q - 4*l, -4 = -4*q + 3*l for q. 1 Let n(r) = r**2 - 3*r + 14. Let t be n(2). Suppose k + 0*k = 0. Solve -4*b = j - t, -b + 5*j - 20 + 2 = k for b. 2 Let v(g) = -5*g + 59. Let p be v(12). Let b(o) = -o**3 + 3*o**2 - 1. Let s be b(p). Solve 5*x = s*l + 2*l + 25, 11 = -l + 3*x for l. -2 Suppose 0 = -h + 4*m, -7 = -3*h - 0*h + 5*m. Let g = -223 - -213. Let v be 56*10/(-200)*g. Solve -4*t + 7 = 2*a + a, -4*t = -h*a + v for a. 5 Suppose 1206*y = 1255*y. Solve -q - 17 = -2*j - 12, 3*q + 3*j + 6 = y for q. -3 Suppose -4*j = 20, 6*j = x + 3*j - 32. Solve 2*h = -y + x, 4*y - h = 152 - 129 for y. 7 Let k = -375 - -379. Suppose -s + 9 = -0*s + i, 0 = -3*i + 9. Solve -7*z = -2*l - s*z - k, 4*z + 2 = -l for l. -2 Let l be (1215/162)/((-9)/(-6)). Solve -5*n = -l*q - 15, 3*q = -n - 0*n - 5 for n. 1 Let o be ((-3)/2*-4)/((-1203)/(-802)). Solve 0 = -4*b + o*v, -12 = -0*b + b - 4*v for b. 4 Let f(t) = -8*t - 48. Let p be f(-6). Let s be (5 - (-98)/(-28))*4. Solve -4*r + j - s*j - 33 = 0, 2*j + 10 = p for r. -2 Let w(v) = -2*v**3 + 14*v**2 + v + 4. Let f be w(6). Suppose -22 = 5*h - f. Let d be 3*68/h*1. Solve 0 = 3*x + 2*q - 19, -5*q = -4*x - 6*q + d for x. 3 Let q(o) = -2506*o + 5015. Let x be q(2). Solve v = 5*b - 16, -v + x*v - 28 = -5*b for v. 4 Let d = -73 - 152. Let n = 230 + d. Solve 3*k - 5*b = 21, k - b + 0 = n for k. 2 Suppose 0 = -3*k - 15, -k = -4*p - 0*k + 105. Suppose -i + 0*i - 5*r + p = 0, 4*i = -r + 24. Solve 4*g - 4*v - 20 = 0, i = -5*g + 2*g - v for g. 0 Suppose 752*x - 5378 = -1037 + 3179. Solve -8*i = -3*b - 40, 44*b = 40*b + 2*i - x for b. 0 Suppose 4*k - 44 = -0*k. Let z(x) = -x + 15. Let q be z(k). Let o be 116/6 - (-3)/(-9). Solve -2*i - 14 = -l, l + o - 3 = -q*i for i. -5 Let u(l) = -378*l - 1890. Let n be u(-5). Solve 0 = -3*b - 316*j + 321*j - 23, n = 5*b - 5*j + 25 for b. -1 Let u(l) = 61*l**2 - 1832*l + 65. Let o be u(30). Solve -20 = 3*j - 5*k - 0*k, o*j - 8 = -2*k for j. 0 Let h be (-152)/(-95) - (-2)/5. Suppose -34 = -h*d + 5*q, -5*q = -d - 3*q + 16. Solve 4*b = -0*w - 2*w + d, -5*w - 3*b - 5 = 0 for w. -4 Let s = -48 + 313. Suppose -s = -2*t - 243. Solve 5*c - 11 = -z, 0*z - 3*c = 5*z + t for z. -4 Suppose -25*q + 36*q - 24*q - 14*q = 0. Solve -5*p = -15*k + 18*k + 3, -5*k - 5 = q for p. 0 Let d = 161 - 81. Let a = d + -80. Suppose -4*z = 5*f - 2 - 2, f + 4*z - 4 = 0. Solve f = -w + m - 3*m + 3, a = 5*w - 4*m + 13 for w. -1 Let q = -140 + 142. Let v be (25/10 + 0)*q. Solve -5*c + v = 3*h - 3*c, -4*h + 22 = -5*c for h. 3 Let s = -81 + 121. Suppose -22 = -2*z - s. Let m be 1 - (5 + (z - 0)). Solve 4*i + 1 = m*j - 4, 0 = 2*j + i - 2 for j. 1 Suppose -81598*u + 81608*u - 20 = 0. Solve 0 = -u*c, 5*c - 15 = -3*z - 0*c for z. 5 Suppose 4*l = -5*k - 10, -3*k - 2*l + 0*l - 6 = 0. Let g(d) = -2*d**3 - 7*d**2 - 16*d. Let c be g(k). Solve -3*b + 3*j - 16 = -2*j, -c = -4*j for b. 3 Suppose -175 - 46 = -13*r. Let v be 5*(-1 - -2) - (-15 + r). Solve 4*l - 2 = -2*o - 0*o, v*o + 2*l = -9 for o. -5 Let c be 2*((-7)/28 - 183/4). Let k = c + 97. Solve 2*h = 5*i + 27, -i + k*i = -20 for h. 1 Suppose 0 = 47*o - 57 - 23 - 61. Solve -l = -d + o*l + 11, -2*l = 3*d + 23 for d. -5 Let q = -64 + 71. Let g be (-1 - -1)/(6 - q). Suppose g = 5*z + 25, 2*z + 11 = 2*s + z. Solve 3*u - 4*t - s = 0, 5*t - t = -12 for u. -3 Suppose -517 = -16*s - 131*s + 953. Solve -43 = 2*c + 5*x - 6, -3*c - x = s for c. -1 Let k be (6 + (128/(-21) - (-4)/42))/6. Solve -c - 14 = -3*d, -4*c + 3*d - 11 = -k*d for c. 1 Let l = 353 + -192. Suppose 0 = -k - 159 + l. Solve k*n = 3*n + 3, 2*y = -n - 3 for y. 0 Suppose 5*s - 3*z - 16 = 0, 30*z - 35*z = 4*s - 35. Solve 5 = -s*x + 5*w, 46*x + 3*w =
{ "pile_set_name": "DM Mathematics" }
at is l(17)? -752 Let v(d) = -1490*d + 518523. Calculate v(348). 3 Let s(b) = 33*b**3 + 65*b**2 - 233*b - 397. Calculate s(-3). -4 Let t(i) = 14*i**2 - 261*i - 4773. Calculate t(30). -3 Let y(p) = -p**3 - 132*p**2 - 186*p - 4591. Give y(-131). 2614 Let g(w) = 4616*w + 110707. Give g(-24). -77 Let t(o) = -6*o**3 + 1555*o**2 + 1304*o - 1133. Give t(260). -93 Let x(k) = 1686*k - 13179. Give x(8). 309 Let n(f) = 109*f**2 + 2865*f - 2968. Give n(1). 6 Let s(w) = 2*w**3 - 410*w**2 + 19388*w - 49. Calculate s(74). -49 Let t(b) = 2*b**3 + 112*b**2 + 1375*b - 27. Calculate t(-15). -2202 Let u(l) = 2160*l - 1853283. What is u(858)? -3 Let v(q) = -32169*q - 3. Calculate v(0). -3 Let q(l) = -33*l**2 - 6373*l - 50849. Give q(-8). -1977 Let r(w) = 897*w - 4485. Give r(5). 0 Let r(l) = 1127*l + 7401. Determine r(-6). 639 Let r(m) = 3*m**3 + 3*m**2 - 12*m + 11. Calculate r(2). 23 Let y(q) = 2457*q + 44059. Give y(-18). -167 Let s(l) = -l**2 - 926*l + 72953. Give s(73). 26 Let l(x) = 1308*x - 1188. Calculate l(-2). -3804 Let u(b) = b**3 + 59*b**2 - 632*b - 1496. Give u(-2). -4 Let z(v) = -v**3 + 137*v**2 - 4599*v + 2309. Give z(57). 86 Let v(i) = 24*i + 93. What is v(11)? 357 Let i(j) = 25*j**2 - 1225*j + 9003. Calculate i(9). 3 Let j(q) = -4*q**3 - 135*q**2 + 142*q + 29. Determine j(-35). 1184 Let d(s) = -47645*s + 47644. What is d(1)? -1 Let u(a) = 1777*a + 3721. Calculate u(-2). 167 Let a(k) = -12*k**2 + 1199*k - 4732. What is a(4)? -128 Let b(l) = -l**3 + 16*l**2 + 2765*l - 39220. Give b(14). -118 Let r(g) = -10341*g - 423969. Calculate r(-41). 12 Let u(a) = -21216*a - 763761. What is u(-36)? 15 Let w(b) = 8605*b + 12593. What is w(-2)? -4617 Let y(v) = v**3 + 17*v**2 + 66*v + 580. Give y(-15). 40 Let d(n) = 3*n**3 + 802*n**2 + 257*n - 201. Calculate d(-267). 2469 Let x(n) = n**3 + 27*n**2 - 149*n - 232. What is x(-26)? 4318 Let g(n) = n**3 + 6*n**2 + 18*n + 751. Calculate g(-12). -329 Let r(b) = -2*b**3 + 26*b**2 - 161*b + 1411. Determine r(11). 124 Let f(w) = -w**2 - 54*w + 6272. Determine f(60). -568 Let i(a) = a**2 - 5961*a + 207413. Give i(35). 3 Let o(k) = 15028*k - 375672. Determine o(25). 28 Let r(g) = 3*g**3 - 8*g**2 - 19031*g + 114230. Give r(6). 404 Let c(q) = 53*q**2 + 150*q + 513. Give c(-3). 540 Let s(x) = 4830*x + 31980. Give s(-7). -1830 Let j(c) = -9845*c + 48725. Calculate j(5). -500 Let i(h) = 2*h**3 - 48805*h**2 - 146427*h - 10. Calculate i(-3). -28 Let a(s) = -5*s**3 + 241*s**2 - 2315*s + 123056. What is a(49)? 17 Let t(l) = -40994*l - 737891. Calculate t(-18). 1 Let h(l) = 4*l**2 - 755*l + 20937. Give h(155). 12 Let q(n) = -21*n**2 - 904*n + 52. Calculate q(-43). 95 Let s(a) = -1149*a**2 - 56302*a - 49. Determine s(-49). 0 Let m(a) = a**3 + 3208*a**2 - 2141*a - 6868327. What is m(-3208)? 1 Let h(z) = -3*z**3 + 749*z**2 + 7255*z - 796. Give h(259). -19 Let k(b) = b**3 - 23*b**2 - 59*b + 533. What is k(25)? 308 Let f(n) = 1690*n**2 + 162238*n - 161. Calculate f(-96). 31 Let d(b) = b**2 + 63*b - 137. What is d(4)? 131 Let y(w) = -20843*w - 2751422. What is y(-132)? -146 Let f(m) = -514*m - 5584. Give f(-11). 70 Let r(x) = 2*x**3 + 71*x**2 + 711*x + 1837. Calculate r(-4). 1 Let g(l) = 6681*l + 113581. Give g(-17). 4 Let m(b) = b**2 + 155*b + 10450. Give m(-40). 5850 Let p(a) = -40*a**2 + 51*a - 53. What is p(1)? -42 Let i(q) = -q**3 - 20*q**2 - 38*q + 272. What is i(-17)? 51 Let s(z) = 9*z**2 + 94*z + 370. Determine s(-7). 153 Let b(o) = -6*o**3 - 948*o**2 - 29225*o + 284. Determine b(-42). -10 Let o(m) = -3*m**3 + 161*m**2 - 718*m - 36. Determine o(5). 24 Let z(n) = -n**2 - 1634*n - 25890. What is z(-16)? -2 Let l(n) = n**2 + 561*n + 34345. Calculate l(-70). -25 Let o(r) = 66*r**2 + 2290*r - 4582. Determine o(2). 262 Let k(i) = 8*i**2 - 547*i - 2941. Give k(-5). -6 Let k(b) = -5*b**3 - 309*b**2 + 53*b - 86. Calculate k(-62). 472 Let q(r) = 171*r**2 - 1040*r - 34. Give q(6). -118 Let j(l) = -320*l - 2475. Calculate j(-10). 725 Let h(b) = -352*b - 17039. Determine h(-49). 209 Let j(y) = -8*y**3 + 1142*y**2 + 287*y - 140. Determine j(143). 3 Let h(l) = -2*l**2 + 19*l + 15734. Determine h(-84). 26 Let v(y) = -90916*y + 1181924. Determine v(13). 16 Let m(o) = 24*o**2 + 844*o - 92. What is m(-37)? 1536 Let x(s) = 555*s + 47714. Give x(-86). -16 Let g(c) = 3*c**3 + 635*c**2 - 6709*c + 24. What is g(10)? -566 Let v(j) = 147*j**2 + 1060*j + 215. Determine v(-7). -2 Let a(s) = 189*s + 24723. Calculate a(-132). -225 Let a(v) = -459*v**2 + 10248*v - 40983. Give a(4). -7335 Let s(v) = -v**2 + 546627*v - 3279766. What is s(6)? -40 Let f(h) = 173*h - 23288. Determine f(132). -452 Let c(b) = 943*b - 9203. What is c(10)? 227 Let z(w) = 9*w**2 + 1918*w - 13883. Give z(7). -16 Let b(f) = -f**3 + 18*f**2 - 7*f + 198. What is b(17)? 368 Let m(t) = 5831*t + 1142767. Determine m(-196). -109 Let q(m) = -8*m**3 + 8*m**2 + 243*m + 12. Calculate q(0). 12 Let r(v) = -20*v**3 + 158*v**2 - 100*v - 189. Calculate r(7). -7 Let b(u) = -2*u**3 - 172*u**2 - 2223*u + 280. Calculate b(-16). 8 Let d(p) = -10755*p + 881900. Determine d(82). -10 Let q(m) = -2*m**3 + 161*m**2 - 4945*m + 407095. Calculate q(81). -11 Let o(x) = x**3 + 3474*x**2 - 45338*x + 11. Give o(13). -80 Let i(x) = -208306*x - 1874753. Calculate i(-9). 1 Let k(d) = 348*d - 80030. Determine k(230). 10 Let k(l) = 3*l**3 + 1980*l**2 - 34541*l + 25. What is k(17)? -213 Let a(x) = 3*x**2 - 2462*x + 140426. Give a(759). 11 Let d(x) = -x**3 + 82*x**2 + 67*x + 1259. Give d(83). -69 Let s(j) = -119*j**2 + 10355*j - 145. Give s(87). 29 Let h(g) = 9084*g + 45428. Calculate h(-5). 8 Let d(j) = 6476*j - 939353. Determine d(145). -333 Let u(w) = -584*w - 21661. Calculate u(-37). -53 Let s(j) = -2*j**3 - 696*j**2 + 620*j - 27231. Determine s(-349). -9 Let z(u) = -782*u - 105792. Determine z(-135). -222 Let o(f) = -f**3 - 7733*f**2 + 38684*f + 22. What is o(5)? -8 Let u(c) = -2*c**3 - 960*c**2 + 67211*c + 1623. Calculate u(-542). -3 Let q(u) = -2*u**3 - 2*u**2 + 173*u + 809. What is q(-6)? 131 Let n(y) = -2*y**3 + 173*y**2 + 6*y - 7885. What is n(86)? 27 Let z(d) = 3*d**3 - 9*d**2 - 42*d + 92. What is z(2)? -4 Let z(g) = -g**3 + 17*g**2 + 5*g - 127. What is z(12)? 653 Let d(n) = 128*n - 186. Determine d(1). -58 Let u(g) = 2*g**3 - 2658*g**2 - 56704*g + 5404. What is u(1350)? 4 Let j(l) = -198*l**3 - 2776*l**2 - 90*l - 393. Give j(-14). 83 Let m(j) = -j**3 + 18*j**2 + 287*j + 502. What is m(-9)? 106 Let y(a) = -a**2 + 407*a + 11248. Determine y(-26). -10 Let f(c) = -c**3 + 4*c**2 + 890*c - 5232. What is f(6)? 36 Let h(n) = 101271*n + 3240673. Give h(-32). 1 Let g(r) = r**2 + 100*r + 590. Determine g(-93). -61 Let x(q) = -q**3 + 774*q**2 - 46727*q - 165. What is x(66)? -99 Let q(l) = 3*l**2 - 1168*l - 70321. What is q(-53)? 10 Let h(i) = -10*i**2 + 238*i - 1237. Give h(23). -1053 Let n(m) = 4172*m - 8694. Give n(2). -350 Let w(k) = 6*k**3 + 683*k**2 - 825*k - 470. Determine w(-115). 1830 Let t(d) = -3*d**2 + 165437*d - 1654064. Calculate t(10). 6 Let d(n) = n**3 - 31*n**2 + 189*n + 10. What is d(9)? -71 Let y(n) = n**3 - 27*n**2 + 94*n + 140. Give y(23). 186 Let x(j) = -j**3 - 109*j**2 - 1907*j - 105. Give x(-87). -714 Let j(h) = -28373*h - 539082. Determine j(-19). 5 Let n(t) = 1614*t - 8087. Determine n(5). -17 Let g(w) = 107*w - 668. Calculate g(10). 402 Let i(b) = -11*b - 1390. Determine i(-7). -1313 Let z(f) = -6*f**3 - 25*f**2 + 167*f - 12. Give z(4). -128 Let d(f) = f**3 + 197*f**2 + 774*f + 440. Determine d(-193). 54 Let m(z) = -z**3 + 161*z**2 - 943*z + 2017. What is m(155)? 2 Let l(m) = -m**2 - 1693*m + 1759343. Calculate l(727). 3 Let l(p) = 295*p + 12745. Determine l(-43). 60 Let z(n) = -n**2 + 1474*n + 2682444. Give z(-1059). -3 Let p(i) = 3*i**3 + 62*i**2 - 89*i - 26. Determine p(-22). -4 Let v(a) = 4*a**2 + 31*a - 2619. Determine v(22). -1 Let c(o) = -57*o**2 - 795*o + 3105. Give c(4). -987 Let k(i) = 185*i + 7825. Determine k(-52). -1795 Let y(l) = l**3 + 717*l**2 - 7971*l - 408. Determine y(11). -1 Let i(g) = -100*g**3 + 17*g**2 + 250*g - 999. Give i(4). -6127 Let u(o) = -73*o**2 + 2997*o - 30. Give u(41). 134 Let s(d) = -1647*d + 263869. What is s(160)? 349 Let z(x) = -719915*x - 58313108. What is z(-81)? 7 Let g(s) = 3819*s - 706505. What is g(185)? 10 Let j(s) = 1492*s - 3962. Calculate j(4). 2006 Let
{ "pile_set_name": "DM Mathematics" }
)*(-3*n - 14*n + n). 69*n**2 Expand (2*l + 4 - 4 + (-4*l + 2*l + 0*l)*(3 - 4 - 1))*(0 + 0 - 1 + (0 - 3 + 1)*(0 - 2 + 5)). -42*l Expand -s**4 - 11*s**4 + 0*s**4 + (s + 3*s + 2*s)*(s**2 - s**3 - s**2). -18*s**4 Expand (0*i + 0*i - 3*i)*(-5*i**3 + 3*i**3 + 0*i**3) - 3567*i**3 + 3567*i**3 - 61*i**4. -55*i**4 Expand (1 - 1 - 2)*(0 - 3*s + 0 + s - s + 3*s + (5 - 1 - 2)*(-3 - 2*s + 3))*(1 + 3 - 3)*(0*s**3 + 0*s**3 - 2*s**3). -16*s**4 Expand (-9*s**2 - s**3 + 4*s**2 + 3*s**3)*(-46*s - 45*s - 18 + 93*s). 4*s**4 - 46*s**3 + 90*s**2 Expand 2 - g**2 - 2 + (-3 + 3 + g)*(0*g + 2*g + 0*g) + 5*g**2 - 2 - 5*g**2 + 3*g**2 + g**2 - 2 + 2 + (-2 + 6 - 3)*(0*g**2 + g**2 - 3*g**2). 3*g**2 - 2 Expand (0*j + 3*j**4 + j - 2*j)*(29*j + 247 - 247). 87*j**5 - 29*j**2 Expand (-11*o**2 - 2*o**2 - 2*o**2)*(1 + 1 + 0) - o**2 + 3*o - 3*o + (3 + o - 3)*(-2*o + o + 0*o) + 1 - 1 - o**2. -33*o**2 Expand (31*i**2 - 17*i**2 - 13*i**2)*(2*i**2 - 4*i**2 + 0*i**2). -2*i**4 Expand (-2 + r + 2)*(-1 + 0 + 3)*(42*r + 32*r + 44*r) - 3*r**2 - 2*r**2 + 2*r**2. 233*r**2 Expand (4*s**2 + 3*s**2 - 6*s**2)*(-18 + 10 + 7 + (2 + 0 - 1)*(2 - 1 + 2) - 2 + 2 + 1 + 3 + 0 + 0)*(-3 + 5 + 2). 24*s**2 Expand (72*d**3 + 111*d**3 + 159*d**3 - 88*d**3)*(-1 - 2 + 1). -508*d**3 Expand (w**2 + 0*w**2 + 0 + 2)*(3 + 39*w - 4 - 37*w). 2*w**3 - w**2 + 4*w - 2 Expand (-2*j + j + 3*j)*(-3*j**2 + 3*j**2 + j**2) + (-1 + 1 - 2*j)*(-3*j**2 + 2*j**2 + 0*j**2) + 6*j**3 - 2*j**3 - 2*j**3 + 32*j**3 + 53*j**3 + 54*j**3. 145*j**3 Expand (-4*s**2 - s**2 + 0*s**2)*(-2*s - s + s) + 0*s**3 + s**3 + 0*s**3 - 4*s**3 + 3*s**3 + 5*s**3. 15*s**3 Expand (2*h**3 + 5*h**3 - 3*h**3)*(3 + 0 - 5)*(-1 + 1 + h)*(34 - 34 - 65*h) + 0*h**5 + h**5 + h**5. 522*h**5 Expand (2 - 1 + 2)*(-1119*i**2 + 74*i**3 + 1119*i**2) - 2*i**3 + 2*i**3 - 2*i**3. 220*i**3 Expand (-5*v**3 + 6*v**3 - 13*v**3)*(-5*v**2 + v**2 + 5*v**2) + (11*v**4 - 2*v**4 + 6*v**4)*(-4*v + 4*v - 2*v) + 3*v**2 + 3*v**5 - 3*v**2. -39*v**5 Expand -90*v**4 + 115*v**4 + 121*v**4 + (-7*v**2 + 4*v**2 + 2*v**2)*(3*v**2 - 4*v**2 + 0*v**2). 147*v**4 Expand 3*a**4 - a**4 - a**4 + a**4 - 2*a**4 + 0*a**4 + (-a**3 + 5*a**3 - 3*a**3)*(-5 + 5 - a) + 16*a**4 - 31*a**4 + 8*a**4 + 10*a**4. 2*a**4 Expand 0 + 0 - 2*b**4 + (-5*b**2 + 3*b**2 + b**2)*(-51996*b**2 + 3 + 52017*b**2 + 1). -23*b**4 - 4*b**2 Expand (-2*l**2 - l**2 + 6*l**2)*(-17 + 7*l**2 - 6*l**2 + 1). 3*l**4 - 48*l**2 Expand (1 - 1 - 2*n**2)*((0 - 2 + 1)*(5*n - 2*n + 2*n) + (-11*n + 68 - 68)*(-6 + 3 + 2)). -12*n**3 Expand ((-3 + 6 - 1)*(-3 + 4 - 3) - 10 - 22 + 13)*(1 - 1 - 2)*(2*x - 2*x - 7*x). -322*x Expand -s + 24*s**3 - 13*s**3 - 13*s**3 - 14 + (-3*s**2 - s**2 + 2*s**2)*(0*s + 4*s - 3*s). -4*s**3 - s - 14 Expand -59*p**2 + 9*p + 110*p**2 + 1 - 53*p**2 + (p - 3*p + 3*p)*(p + 4*p - 6*p) + 2*p**2 + 0 + 0. -p**2 + 9*p + 1 Expand (0*j**2 + 3*j**2 - 2*j**2)*(-118697 + 118697 - 495*j). -495*j**3 Expand 0*o**4 + 0*o**4 - 2*o**5 + (1 + 1 + 0)*(3*o**5 - 5*o**5 + 0*o**5) - 4*o**4 - 5*o**5 + 4*o**4 + (-2*o + o + 0*o)*(14*o**3 - 3*o**4 - 14*o**3). -8*o**5 Expand (-19 - 64 + 18)*(a**4 - 3*a**3 + 5*a**3 - 4*a**4). 195*a**4 - 130*a**3 Expand 1 - 3*b - 3 + 4*b + (-3*b - b + 2*b)*(-3 + 3 - 12) - 3 + 3 - 3*b. 22*b - 2 Expand 5*x**4 - x**4 - 3*x**4 - x**2 - 2*x**4 + x**2 + (3*x**2 + 2*x**2 - 2*x**2)*(0*x**2 - 4*x**2 + 7*x**2) + 6*x**4 - 2 - 4*x**4 + 0*x**4. 10*x**4 - 2 Expand -2*i**2 + 2*i**2 - 4*i**2 + (-37 + 21*i + 37)*(-5 + 5 - i). -25*i**2 Expand (3*q - 5*q + 0*q + (-4 + 5 - 4)*(4*q - 4*q - 2*q))*(3*q + 4*q**2 - 3*q). 16*q**3 Expand (f**2 - f**2 - f**4)*(1 - 1 + 1) - 60*f**4 + 39*f**4 - 11*f**4. -33*f**4 Expand (-3*f**2 + 0 + 0)*(4 - 4 - 2*f) + 15*f**3 - f**3 - 3*f**3. 17*f**3 Expand (-5 - 7 - 2)*(-2*y - 3*y + 4*y + (5 - 5 - 3)*(-2*y + 1 - 1)). -70*y Expand (0*k + k + 0*k**5 + 2*k**5)*(8 - 1 - 1 - 2 + 3 + 0 + (6 - 4 - 4)*(0 + 1 - 2) - 2 + 2 + 5). 28*k**5 + 14*k Expand 743*n**2 - 10*n**3 - 743*n**2 + (-n**2 - 2*n**2 + 0*n**2)*(n - 3 + 3) + (-2*n**3 - 3*n**2 + 3*n**2)*(1 + 0 + 1) - n**3 + 0*n**2 + 0*n**2. -18*n**3 Expand (-3*h + 2*h - h + (-2*h + 4*h + 0*h)*(-1 + 4 - 4) - 2*h - 2 + 2)*((32*h - 2*h - 64 + 68)*(-h**3 - h**3 - h**3) + h**4 + 3*h**4 - 3*h**4). 534*h**5 + 72*h**4 Expand -5 + 5 - 4*h + (-1 + 1 - 2*h)*(3 + 1 - 1) + (-5*h + 0*h + 3*h)*(2 - 4 + 6). -18*h Expand s - s - s + (-s - s - s)*(2 + 0 - 4) + (-4 + 3 + 2)*(0*s - 4*s + 2*s) + 3*s + 0*s + 0*s + 1 - 2*s - 1 + 2*s - s - 2*s + (1 - 3 + 0)*(0*s - 2*s + 3*s). s Expand (l**2 - 4*l**2 - 3*l**2)*(-3*l + 2*l + 0*l) + (-1 - 3 + 3)*(2 + l**3 - 2) + 0*l**3 - 14*l**3 - 5*l**3. -14*l**3 Expand -12*i**3 + 37*i**2 - 37*i**2 + (-6 - 1 + 3)*(3*i**3 - 4*i**3 + 3*i**3). -20*i**3 Expand 7*q**2 + q**5 - 7*q**2 + (q**4 + q**4 - q**4)*(-3*q + 0*q + 2*q) + 0*q**2 + 0*q**2 - q**5 + 4*q + 2*q**5 - 4*q + 367 + q - 367 - 16*q**5. -15*q**5 + q Expand (-2 + 4 - 3)*(7*u - 9*u - 12*u) + (0 + 3 - 9)*(u + 3 - 3). 8*u Expand (-2*k - 5 + 0*k + 16)*(-1 - 3*k + 1 + (-1 - 3 - 1)*(0*k - 4*k + 5*k)). 16*k**2 - 88*k Expand (-l - l - 8*l)*(-2*l**4 + 0*l**4 + 4*l**4) + (-2*l**5 + 0*l**3 + 0*l**3)*(0 - 3 - 3). -8*l**5 Expand (0*m**2 + 2*m**2 - 4*m**2)*(1 + 2 - 2) + (3*m - 5*m + m)*(2*m + 0 + 0 + (-3*m - m + 2*m)*(1 + 2 - 4) + (-39 + 8 + 15)*(-m + 0 + 0)). -22*m**2 Expand 3*f - 5*f - f + (-33*f + 53*f - 55*f)*(0 - 3 + 1) + (-f - 1 + 1)*(-2 - 4 + 3) + 5*f + 0*f - 3*f. 72*f Expand (-8*r + 0*r - 2*r)*(-1 + 1 - r)*(-20*r + 67*r - 22*r). 250*r**3 Expand -216 + 216 + 227*o + (-2*o - 3*o + 3*o)*(0 + 2 - 1). 225*o Expand (0 - 2 + 1)*(0*i**5 + i**5 - 2*i**5 - 859 - 156*i**5 + 859 + (0*i**3 + 4*i**3 - 3*i**3)*(-2*i**2 + 2*i - 2*i) + 2*i**5 - 4*i**5 + 0*i**5). 161*i**5 Expand (-3 + 3 + 1)*(u**2 - 6*u**2 + 3*u**2) + 23*u + 8 - 3*u**2 - 6 + 0. -5*u**2 + 23*u + 2 Expand (2*f**2 - 2*f**2 - f**2)*(7*f**2 - 4*f**2 + 7*f**2) + (-f**3 + f**3 + 2*f**3)*(154 - 154 - 6*f). -22*f**4 Expand (-1 - 9*q + 1)*(4 + 0 - 2 + (-6 + 1 + 0)*(3 - 5 + 3)). 27*q Expand ((-1 + 3 + 0)*(4 - 1 - 4) + 0 - 1 - 1)*(0*a - a + 0*a)*(a**2 - 5*a**2 + 3*a**2 + (-a - 2 + 2)*(-a - 3*a + 6*a) + 9*a + 2*a**2 - 9*a). -4*a**3 Expand (0*b**2 - 4*b**2 + 3*b**2)*(-b**2 + b**2 - 4*b**3)*(-2 - 4 + 5 + (2 + 4 - 4)*(-3 + 4 - 3) - 15 - 5 - 15 + 2 - 3 + 2). -156*b**5 Expand (11*g + 14*g - g)*(0*g + g + 3*g) - g**2 - 2*g**2 + 4*g**2 + (-2*g + 2 - 2)*(-2*g - 3*g + 4*g). 99*g**2 Expand (63*q + 27*q**4 - 63*q)*(5*q - 9*q - 4*q). -216*q**5 Expand (0*p**2 - 3*p**2 + 2*p**2)*(-255 + 255 - 24*p)*(-1 - 1 - 1). -72*p**3 Expand (-3 + 1 + 3*z - 5*z)*(-5*z - 511*z + 19*z). 994*z**2 + 994*z Expand (6 + 6*v**3 - 6)*(-18*v - 162 + 162) + 2*v**4 + 2*v - 2*v. -106*v**4 Expand (-5 - 1 + 1)*(-k**5 + 1 - 1 - k + k - 2*k**5 + (-k**2 + k**2 + k**2)*(2*k**2 - k**3 - 2*k**2) - 7*k**5 - 13*k**3 + 13*k**3 - 6*k**5 + 4*k**5 + 0*k**5). 65*k**5 Expand (6 - 1 - 4)*(4*p - 7*p - 20*p)*(7 - 6*p - 7). 138*p**2 Expand (s + 0 + 0)*(-97*s**2 + 36*s**2 - 2*s**3 - 4*s + 3*s). -2*s**4 - 61*s**3 - s**2 Expand 0 + 0 + 4*r**4 - 3*r + r**4 - 2*r**4 + r + (2*r - 4*r + 3*r)*(3418 - 3418 + 19*r**3). 22*r**4 - 2*r Expand (-h - 2*h + 5*h)*(0 + 6 - 4) + (-1 - 4 + 2)*(19*h + h + 6*h). -74*h Expand (0 + 0 - o)*(3*o**4 - 7*o**4 + 3*o**4) + (0*o**3 + 0*o**3 + o**5)*(-97 - 644 + 353 - 635). -1022*o**5 Expand (216*q**3 + q**5 - 80*q**4 - 216*q**3)*(1 - 4 + 4). q**5 - 80*q**4 Expand -4*z - 17*z - 13*z - 1 + (-3 + 4 + 1)*(12*z - 9*z + 20*z). 12*z - 1 Expand (34*i**2 - 99*i + 99*i)*(-2 + 2 + 2) + (-3*i**2 + i**2 + 0*i**2)*(-2 - 3 + 3) - 2*i**2 - i**2 + i**2 + i - i - 3*i**2. 67*i**2 Expand (-19*f + 37 + 41*f - 20*f)*(4 - 6 + 1) + (4*f - 3*f - 3*f)*(0 - 3 + 0). 4*f - 37 Expand (3 - 1 - 1)*(-48 - k**2 - 5*k**2 + 8*k**2). 2*k**2 - 48 Expand (2 - 1 - 4)*(1 + 2 - 5)*(-60*t + 90 - 90). -360*t Expand (-x**3 + 0*x**3 - x**3)*(-4*x**2 + x**2 + x**2) - x**3 + 42*x**2 - 26*x**2 + x**5 - 17*x**2 + 2*x - 2*x + x**5. 6*x**5 - x**3 - x**2 Expand (2*l - 3*l + 0*l)*(-l**4 - l**2 + l**2) + 3*l**5 + l**5 - 3*l**5 + 499*l**2 - 499*l**2 - 16*l**5. -14*l**5 Expand (4*t - 3*t + t)*(2*t**3 + t**3 - 2*t**3) + t + 3*t**4 - t + (-7*t**2 + t**2 + 2*t**2)*(28*t**2 - 16*t**2 - 18*t**2). 29*t**4 Expand (-2*g**3 - 3*g + 3*g)*(-g**2 + 0*g**2 + 3*g**2) - 36*g**5 - 38*g**5 + 92*g**5. 14*g**5 Expand (-j**2 + 2*j**3 + j**2)*(4*j**2 - 4*j**2 + j**2) + 4*j**5 - 3*j**5 + 0*j**5 + 581874*j**4 + 72*j**5
{ "pile_set_name": "DM Mathematics" }
et j(o) be the first derivative of -o**2/2 - 521. Let q(b) = -10 - 154*b**2 + 7 + 3. What is j(q(u))? 154*u**2 Let m(j) = 61*j - 52*j - 46*j + 29*j. Let a(s) = 646*s**2. What is a(m(l))? 41344*l**2 Let w(v) = -130*v**2 + 36*v**2 + 63*v**2 + 57*v**2. Let s(x) = 10*x. Determine s(w(d)). 260*d**2 Let o(u) = 3*u**2. Let j(w) = 4*w**2 + 23*w + 7. Let v be j(-6). Let l be (-2)/(-9) - 430/(-90). Let k(a) = -a + v*a - l*a. Calculate o(k(s)). 147*s**2 Let x(p) = 2*p. Let o = -3 + 10/3. Let d(r) be the second derivative of o*r**3 + 0 + 0*r**2 - r. Give x(d(v)). 4*v Let b(w) = 5*w**2 - 3. Let y(n) = 5*n**2 - 2. Let t(x) = -2*b(x) + 3*y(x). Let q be (1 - -2)*2/3. Let v(c) = 7*c**q - 27*c**2 + 16*c**2. What is v(t(p))? -100*p**4 Let r(i) be the first derivative of 24*i**2 + i + 4553. Let t(y) = -33*y**2 - 4*y. Give r(t(p)). -1584*p**2 - 192*p + 1 Let x(b) = 360271*b + 1. Let t(g) = 2*g. What is x(t(o))? 720542*o + 1 Let l(s) = -33*s**2 - 1. Let z(f) = 44*f**2 - 6*f**2 - f + f - 36*f**2. Give z(l(n)). 2178*n**4 + 132*n**2 + 2 Let c(i) = -4*i - 3. Let k(q) = -10*q - 8. Let n(h) = -8*c(h) + 3*k(h). Let j(s) = -1594*s. What is j(n(v))? -3188*v Let g(a) = -3*a - 1638. Let i(y) = -17*y. Let w(q) = -4*q. Let o(z) = i(z) - 4*w(z). Calculate o(g(j)). 3*j + 1638 Let g(a) = 15*a**2 + 10*a - 97. Let v(x) = 47*x**2. Determine g(v(s)). 33135*s**4 + 470*s**2 - 97 Let i(d) = 2*d - 450*d**2 + 445*d**2 - 2*d. Let y be -7 - -11 - 1*2. Let m(u) = 2*u**2 + 2*u**2 - 10*u**y. What is m(i(g))? -150*g**4 Let t(i) = i**2. Let y(x) = 109*x**2 - 43*x + 13. Let k be y(8). Let j(s) = -9*s - 6645 + k. Calculate t(j(h)). 81*h**2 Let y(o) be the second derivative of 2*o**4/3 - 27*o**2/2 + 8*o - 25. Let p(b) = -3*b**2. Give y(p(n)). 72*n**4 - 27 Let y(x) = -332*x**2. Let d(v) be the third derivative of v**4/12 - 2*v**2 - 368. Determine y(d(w)). -1328*w**2 Let g(v) = -5*v**2. Suppose 3*b = -a + 131, 2*a = 4*b - 0*b - 188. Let z(x) = -19*x**2 - 9*x**2 + b*x**2 - 12*x**2. Determine z(g(y)). 125*y**4 Let y(m) = -4*m**2. Let r(j) be the first derivative of -5*j**3/2 + 15*j + 17. Let f(p) be the first derivative of r(p). Give f(y(l)). 60*l**2 Let r(y) = 1251*y**2 + 17*y - 3. Let c(p) = -618*p**2 - 8*p + 1. Let l(w) = 7*c(w) + 3*r(w). Let i(h) = 3*h. Give i(l(t)). -1719*t**2 - 15*t - 6 Suppose 89 = -2*t + 93. Let y(m) = 7*m**2 + 2*m**2 - 11*m**t. Let p(l) = -5*l**2 + 1. Determine y(p(s)). -50*s**4 + 20*s**2 - 2 Let x(i) = 10*i**2. Let d = 767 - 324. Let f(c) be the first derivative of 0*c**2 + d*c - 443*c + 19 + c**2. Give f(x(y)). 20*y**2 Let f(q) = 23*q**2. Let k(z) be the third derivative of -z**5/60 + 59*z**3/6 - 1077*z**2 + 3. What is f(k(u))? 23*u**4 - 2714*u**2 + 80063 Let u(w) = 24*w**2. Let d(b) = 4958377*b. Determine u(d(v)). 590052059379096*v**2 Let v(j) = -2955420*j. Let s(u) = -15*u**2. Give v(s(w)). 44331300*w**2 Let z(l) = 7033*l**2. Let v(m) = 12*m + 6*m - 5*m - 6*m - 6*m. Calculate z(v(f)). 7033*f**2 Let f(t) = -13*t**2. Let n(x) = -19*x + 4*x + 4*x - 10*x**2 + 11*x. Give f(n(m)). -1300*m**4 Let n(i) = -24*i**2. Let h(o) be the first derivative of 3*o**2 - 4*o - 211. Determine h(n(d)). -144*d**2 - 4 Let x(d) be the third derivative of d**6/144 + 5*d**4/24 + d**3/2 - 16*d**2 + 2. Let z(c) be the second derivative of x(c). Let o(a) = 6*a. Determine z(o(v)). 30*v Let w be 1/(-9) + 109/9. Let f(g) = 19*g - 4*g - w*g - 4*g. Let q(u) = 41*u**2. Calculate f(q(n)). -41*n**2 Let u(o) = -2688*o**2. Let s(m) = -1577*m**2. What is u(s(q))? -6684865152*q**4 Let h(k) = -343*k**2. Let x(f) = -4*f**2 - 17758*f. Give x(h(n)). -470596*n**4 + 6090994*n**2 Let p(w) = -2*w**2 - 12. Let x(f) = 4*f + 10. Let d(s) = s + 2. Let g(m) = 10*d(m) - 2*x(m). Give p(g(y)). -8*y**2 - 12 Let k(s) = -3*s**2. Let p(l) = 23*l + 4 - 288*l + 4 - 14 + 8. Determine p(k(j)). 795*j**2 + 2 Let g be (-22 - -18)*2/(-4). Let o(w) = 6*w**2 - w + 3. Let m be o(g). Let q(r) = -22 + 47 - r - m. Let b(l) = 22*l**2. What is q(b(z))? -22*z**2 Let h(x) = -x. Let b(y) = -7*y**2 + 251*y. Let i(f) = -24*f**2 + 761*f. Let p(v) = -7*b(v) + 2*i(v). Give p(h(j)). j**2 + 235*j Let n(a) = -a - 42. Let t(r) = 3*r**2 - r + 523. Give n(t(d)). -3*d**2 + d - 565 Let k(y) = -8*y. Let z be 12/(-3) - 0/(-3). Let q be (z + (4 - 2))*-1. Let b(p) = 3*p**2 + p**2 - q*p**2. Give b(k(l)). 128*l**2 Suppose 0 = -p - 3*p - 2*b, 5*p - 2 = -2*b. Let r(n) = -n**2 + 1 + 1 - p. Let t(z) = 142*z**2. Give r(t(m)). -20164*m**4 Let s(m) = -1. Let p(c) = c + 3. Suppose 0 = -2*x - 3 - 3. Let z(f) = x*s(f) - p(f). Let l(j) = 2*j + 3*j + 5*j + 9*j. Calculate z(l(w)). -19*w Let o(g) = -2*g**2 + 44928*g. Let z(a) = -336*a. Calculate o(z(w)). -225792*w**2 - 15095808*w Let l(c) = 7*c. Let v(q) = 88972678*q. Calculate v(l(i)). 622808746*i Suppose 5*p - 9*p - 4*i = -47132, 0 = 5*p - 4*i - 58906. Let l(k) = -2*k + 11782 - p. Let v(m) = m**2 - 23. What is l(v(x))? -2*x**2 + 46 Let c(s) = -28*s. Let n(y) = 382668*y + 4. Calculate c(n(q)). -10714704*q - 112 Let g(f) = -5*f + 17. Let u(b) = -14*b + 50. Let d(k) = 8*g(k) - 3*u(k). Let q(w) = -3*w. Calculate d(q(z)). -6*z - 14 Let h(y) be the third derivative of 1/24*y**4 + 0*y**3 + 2*y**2 + 0 + 0*y. Let d(k) be the first derivative of 3*k**2/2 - 10224. Calculate d(h(s)). 3*s Let r(l) = -7*l. Let d(f) = 749246*f. Calculate r(d(q)). -5244722*q Let h(l) be the third derivative of 19*l**5/20 + 531*l**2 + 2*l. Let o(w) = 3*w. Determine h(o(t)). 513*t**2 Let b(q) = -491*q**2 + 9*q - 9. Let j(r) = -109*r**2 + 2*r - 2. Let v(k) = -2*b(k) + 9*j(k). Let o(y) = 908*y. Calculate o(v(f)). 908*f**2 Let y(f) = -11869*f**2 - 5*f - 2502. Let w(d) = d**2. Calculate y(w(h)). -11869*h**4 - 5*h**2 - 2502 Let d(p) = -5*p. Suppose -80 = -i + 3*f - 5*f, i = -5*f + 71. Let y(h) = i*h**2 + 85*h**2 - 176*h**2. Give y(d(t)). -125*t**2 Let a(r) be the first derivative of 4*r**3/3 - 26. Let w(g) = 11*g + 6. Let k(t) = -65*t - 39. Let f(u) = -2*k(u) - 13*w(u). Give a(f(c)). 676*c**2 Let i(a) = -5*a**2. Let t(x) = -382198*x. Determine i(t(s)). -730376556020*s**2 Let r(j) = 0*j + j - 4*j + j. Let n(c) be the second derivative of -11/6*c**3 + 0*c**2 + 5*c + 0. Give r(n(u)). 22*u Let x(k) = k + 2*k**2 - 2*k**2 + 2*k**2 - 21170 + 21170. Let g(u) = 14*u**2. What is g(x(l))? 56*l**4 + 56*l**3 + 14*l**2 Let s be 8/6*(-12)/(-8). Let f(w) = 0*w**s + 5*w**2 - 3*w**2. Let i(a) = -274*a + 4698. Let o(v) = -50*v + 870. Let u(k) = 5*i(k) - 27*o(k). Determine u(f(g)). -40*g**2 Let o(n) = 200632*n**2. Let j(z) = -1967*z. Determine o(j(f)). 776263064248*f**2 Let w be (-144)/(-120)*10/3*1. Let a(v) = 11*v**2 - w*v**2 - 4*v**2 + 10*v**2. Let f(q) = -q. Give a(f(d)). 13*d**2 Let z(i) = -16*i - 11. Let a be z(-4). Suppose -a*u = -50*u - 78. Let n(p) = u*p + 8*p - 8*p. Let y(g) = -3*g. Give n(y(q)). -78*q Let m(o) = -5*o**2 + 2920659. Let l(c) = -c + 26. Give m(l(x)). -5*x**2 + 260*x + 2917279 Let m(q) = -26*q**2. Let g(z) = -3137*z - 37. Give g(m(b)). 81562*b**2 - 37 Let l(x) be the first derivative of 958*x**3/3 - 1189. Let z(j) = 2*j**2. Give l(z(k)). 3832*k**4 Let m = -5 - -7. Let l(z) = 10*z - 720. Let g be l(72). Let b(p) = g + 0 - 9*p**m + 2*p**2. Let k(u) = -4*u**2. Determine k(b(x)). -196*x**4 Let s(i) = -2*i. Let y(t) = 23271612*t**2 + 47268*t + 23634. Let u(g) = 3939*g**2 + 8*g + 4. Let l(p) = -23634*u(p) + 4*y(p). Determine s(l(d)). 15756*d**2 Let o(q) = -2*q. Let t(z) = -614*z**2 - 14 - 19 + 0*z + z + 33. Determine o(t(p)). 1228*p**2 - 2*p Let p(v) = 749517*v. Let h(s) = 4*s - 60. Determine h(p(w)). 2998068*w - 60 Let n(d) = -2*d. Let p = 429 + -427. Let g(w) = -305 + 3*w**2 + 321 - p*w**2 + w**2. Calculate g(n(t)). 8*t**2 + 16 Let t(d) = -6*d**2. Let v(m) = 97721*m - 8. What is v(t(c))? -586326*c**2 - 8 Let v(c) = 5*c**2. Let s(g) = 162*g**2 + 48*g. Let r(h) = -17*h**2 - 5*h. Suppose -40 = -13*a + 5*a. Let w(j) = a*s(j) + 48*r(j). Calculate v(w(o)). 180*o**4 Let g(b) be the second derivative of 0*b**2 + 8/3*b**3 + 0 - 2*b. Let l(i) = -15*i - 14*i**2 + 15*i**2 + 15*i. Determine l(g(p)). 256*p**2 Let f(o) = -2*o**2. Suppose 27*y - 24 = 25*y. Let i(x) = -11 - y + 13*x**2 + 23. Let k(p) = -3*p**2. Let v(b) = 4*i(b) + 18*k(b). Give v(f(c)). -8*c**4 Let t be ((6 + -7)*-3)/((-3)/(-3)). Let v(i) = -4*i - 89 - i + 89 + t*i. Let a(h) = 99*h. Give a(v(m)). -198*m Let t(v) = 41*v
{ "pile_set_name": "DM Mathematics" }
c + 29*c + 70*c. Let j(v) = -15*l(v) - 2*p(v). Let z(f) = 7*f + 4. Suppose 2*h - 3*h = -6. Determine h*j(g) - 13*z(g). -g + 2 Let n(j) = -3*j - 5. Let y(i) be the third derivative of i**4/6 + 7*i**3/6 + i**2. Let s be 6/(-4) + 52/8. What is s*y(a) + 7*n(a)? -a Let u(l) be the second derivative of 3*l**4/4 + 3*l**3/2 - 11*l**2/2 - 5*l. Let x(r) = 5*r**2 + 5*r - 6. What is -6*u(t) + 11*x(t)? t**2 + t Let p(q) = -4*q**2 - q. Let l be p(-2). Let w(v) be the third derivative of -v**4/12 - 7*v**3/6 + 4*v**2 - 4*v. Let j(g) = g + 3. Give l*j(k) - 6*w(k). -2*k Let u(o) = 6 - 2*o + 4 - 13. Let n(t) = t**2 + 11*t + 16. Let f = 0 - 2. Let s(w) = w**3 - 6*w**2 - w - 5. Let c be s(6). Calculate c*u(d) + f*n(d). -2*d**2 + 1 Let k(l) = 9*l**2 + 2. Let a(w) = -5*w**2 - 1. Let s = 0 + 6. What is s*k(g) + 11*a(g)? -g**2 + 1 Let c(s) = 13*s - 5. Let j(q) = -3*q**2 + 20*q - 4. Let w be j(7). Let t(d) = -7*d + 3. What is w*t(x) - 6*c(x)? -x - 3 Let a(m) = -2. Let g(x) = -24*x - 35. Let t(y) = -11*y - 17. Let z(w) = -6*g(w) + 13*t(w). What is -11*a(s) + 2*z(s)? 2*s Let r(f) = -12*f + 6. Let z(v) = -12*v + 5. Give -3*r(s) + 4*z(s). -12*s + 2 Let k(o) = o**2 + 1. Let g(j) = j**2 - 3*j + 4. What is -g(s) + 6*k(s)? 5*s**2 + 3*s + 2 Let x(v) = 5*v + 1. Let h(w) = -2*w. Calculate -5*h(f) - 3*x(f). -5*f - 3 Let o(u) = 23*u**2 + 17*u - 6. Let b(k) = k**2 + k. Let a(f) = 3*f - 1. Let y(z) = z. Let x(t) = a(t) - 4*y(t). Let r(q) = 4*b(q) + x(q). Give 6*o(i) - 34*r(i). 2*i**2 - 2 Let l = 39 - 42. Let u(n) = -2*n + 1. Let f(x) = -x**2 - 2*x. Determine l*u(p) + 2*f(p). -2*p**2 + 2*p - 3 Suppose -21 = 2*x - 1. Let g(d) = -d**2 - 1. Let f(s) = -7*s**2 - 5. Calculate x*g(t) + 2*f(t). -4*t**2 Let y(a) = 2*a + 4. Let k(h) = -2*h - 3. Suppose -3*f + 8 = f - 4*g, 4*g - 2 = -f. Suppose -f = -l + 2. Give l*y(w) + 5*k(w). -2*w + 1 Let z(l) = 0*l + l - 4 + 0*l. Let v(i) = -5*i - 2. Let b(h) = 6*h + 2. Let w(c) = -6*b(c) - 7*v(c). Suppose 4*p - 12 + 0 = 0. Determine p*z(a) + 5*w(a). -2*a - 2 Let b(o) = 3. Let u(n) = -n - 13. Let i = -15 + 21. Let w = -11 + i. Let s(x) = -3*x - 6. Let k be s(w). What is k*b(j) + 2*u(j)? -2*j + 1 Let j(a) = a**2 - 1. Let i(b) = 4*b**2 - 5. Suppose 9 = 3*y - 2*c, 0 = 5*y - 3*y - 3*c - 11. Let t be y*(1 - -3)/(-4). Calculate t*i(q) + 5*j(q). q**2 Let u(a) = -2*a**2 - 11*a - 3. Let j(z) = z**2 + 4*z + 1. Suppose 0*l - 3*l = 108. Let t be l/(-4) + 3 + -4. Determine t*j(q) + 3*u(q). 2*q**2 - q - 1 Let o(g) = -5*g**3 + 4*g**2 - 2*g + 4. Let w(n) = 5*n**3 - 5*n**2 + 2*n - 5. What is -5*o(q) - 4*w(q)? 5*q**3 + 2*q Let a(d) = -d**3 + 5*d**2 + 2*d - 6. Let k(x) = x**3 - 4*x**2 - x + 5. Determine 5*a(z) + 6*k(z). z**3 + z**2 + 4*z Let o(x) = 9*x**2 - 5*x + 4. Suppose -10 = -2*h + 4*h. Let t(n) = 5*n**2 - 3*n + 2. Let m(b) = b**2 - 15*b + 17. Let v be m(14). Calculate h*t(z) + v*o(z). 2*z**2 + 2 Let p(m) = -71*m**3 - 5*m**2 + 5. Let i(f) = 72*f**3 + 4*f**2 - 4. Give -5*i(t) - 4*p(t). -76*t**3 Let f(k) = 6*k**2 + 3. Let h(z) = 6*z**2 + 4. Calculate 4*f(c) - 3*h(c). 6*c**2 Let y(l) = -2*l**3 + 5. Let m = 27 + -33. Let i(o) be the third derivative of o**6/60 - o**3 - 3*o**2. Let r = -10 - -5. Determine m*y(p) + r*i(p). 2*p**3 Let j(m) = -7*m**3 - 9*m - 9. Let t(f) = f**2 - 6*f - 3. Let b be t(6). Let g(a) = 4*a**3 + 5*a + 5. What is b*j(k) - 5*g(k)? k**3 + 2*k + 2 Let i(w) = -2*w**2 - 5*w. Let y(p) = -p**3 - 2*p**2 - 6*p. Suppose -10 = 5*b - 0*b. Calculate b*y(t) + 3*i(t). 2*t**3 - 2*t**2 - 3*t Let g(s) = 3*s - 3. Let t(j) = -2*j + 2. Let n be t(-2). Let m = -3 + n. Let l(k) = k**3 + 4*k - 4. Give m*l(d) - 4*g(d). 3*d**3 Let i(w) = -w**2 - 6*w - 6. Let v be i(-5). Let f(z) = -z**2 - 2. Let r(c) = -1. What is v*r(q) + f(q)? -q**2 - 1 Let q(y) = -4*y - 7. Let f(g) = g + 1. Let t(w) = 3*f(w) + q(w). Let k(u) = -u**3 - 8*u**2 - u - 6. Let b be k(-8). Let v(s) = -2. What is b*t(i) - 5*v(i)? -2*i + 2 Let p(k) = 2*k + 6. Let i be 2/7 - 104/(-28). Let n = -33 - -30. Let u(b) = 2*b + 5. Calculate i*u(c) + n*p(c). 2*c + 2 Let w(q) = -18*q**3 + 48*q + 48. Let k(i) = -i - 1. What is -144*k(f) - 3*w(f)? 54*f**3 Let s(q) = q**2 - 2*q + 2. Let r = -4 - -6. Let n(p) be the second derivative of 1/3*p**3 + 0 - 2*p - 1/2*p**r. Determine -3*n(x) - 2*s(x). -2*x**2 - 2*x - 1 Let l(o) = 539*o**3 + 121*o - 121. Let s(w) = 9*w**3 + 2*w - 2. Determine 2*l(j) - 121*s(j). -11*j**3 Let v(l) = -3*l + 2*l + 0 - 3 - 4. Let c(u) = -u - 6. Calculate 5*c(o) - 4*v(o). -o - 2 Let a(u) = -u**2 - 3*u - 3. Let t(w) = 24*w**2 + 68*w + 68. Determine -136*a(j) - 6*t(j). -8*j**2 Suppose 0*k = -3*k - 2*z - 18, 4*z + 12 = -3*k. Let h be (-2)/k + 9/(-4). Let i(n) = -4*n**2 - 3*n - 2. Let q(p) = -9*p**2 - 7*p - 5. Give h*q(m) + 5*i(m). -2*m**2 - m Suppose 0 = -2*s + 3*s. Suppose -2*q + q = 2*b - 7, s = 5*q - 5*b - 20. Let z(r) = -9*r**3 - 5*r - 5. Let l(n) = -14*n**3 - 8*n - 8. Determine q*l(j) - 8*z(j). 2*j**3 Let y(k) = k**2 - k + 1. Let b(p) = 6*p**3 + 4*p**2 - 4*p + 4. Let i(q) = -q**3 - 18*q**2 - 17*q - 1. Let a be i(-17). Give a*b(f) + 4*y(f). -6*f**3 Let h(t) = -5*t**3 - 7*t**2 - 6*t - 2. Let x(s) = 11*s**3 + 15*s**2 + 13*s + 4. Suppose -j = -0*u - 5*u - 21, 0 = 2*j + 4*u. What is j*x(f) + 13*h(f)? f**3 - f**2 - 2 Let d(w) = 3*w**3 - 4*w**2 - 2*w + 2. Let i(x) be the second derivative of -x**5/20 + x**4/12 + x**3/6 + 11*x - 3. What is d(p) + 2*i(p)? p**3 - 2*p**2 + 2 Let w(j) = -j**3 - j**2 + 2. Let i(y) = -y**3 + y - 1. What is 2*i(h) + w(h)? -3*h**3 - h**2 + 2*h Let o(n) = 7*n + 4. Let f(d) = 6*d + 5. Calculate -2*f(h) + 3*o(h). 9*h + 2 Let r(g) = -g. Let w be 3/(-3)*3/1. Let t(u) = -20*u + 2. Let b(i) = 7*i - 1. Let j(h) = w*t(h) - 8*b(h). Determine j(s) + 6*r(s). -2*s + 2 Let t(z) = -z**3 + 2*z**2 - 2*z - 2. Let w(c) = -c + 4*c + c**3 - c**2 - 2*c. Determine t(h) + 2*w(h). h**3 - 2 Let l = -8 - -14. Let x(z) = -1. Let y(v) = -1. Let m(s) = l*x(s) - 4*y(s). Let d(k) = -k**2 + k - 22. Suppose -13*g - 418 = 6*g. Give g*m(c) + 2*d(c). -2*c**2 + 2*c Let g(a) = -6*a + 8. Let l(d) = d**3 - 2*d - 1. Let s be l(2). Let y be 26/6 + 2/s. Let p(c) = 4*c - 5. Give y*g(f) + 8*p(f). 2*f Let o(c) = 5*c**3 - 6*c**2 - 6*c - 1. Suppose 0 = -b - 0*b - 2. Let a be 1 + b - (-3 - -3). Let t(x) = x**3 - x**2 - x. Give a*o(d) + 6*t(d). d**3 + 1 Let v(l) = -l**2 + 5*l - 6. Let p = 13 + -11. Let t(j) = -p - 1 + j**2 - 1 + 9 - 4*j. Let h = 5 + -9. Determine h*v(a) - 5*t(a). -a**2 - 1 Let z(j) = -3*j**2 - 5. Let b(v) = -v**2 + v + 1. Give -b(w) + z(w). -2*w**2 - w - 6 Let n(z) = -43*z**2 + 4*z + 4. Let w(b) = -44*b**2 + 5*b + 5. Give -5*n(s) + 4*w(s). 39*s**2 Let t(p) = 15*p**2 - 18*p + 18. Let w(q) = -q**2 + q - 1. Determine -t(d) - 18*w(d). 3*d**2 Let v(h) = -10*h + 9. Let o(c) = -5*c + 5. Determine -11*o(b) + 6*v(b). -5*b - 1 Suppose -10 = 7*f - 17. Let q(n) = 2*n. Let i(s) = -s. Determine f*i(l) + q(l). l Suppose -16 = -6*u + 26. Let v(p) be the second derivative of -p**3/3 - p**2/2 - p. Let z be (2/(-2))/((-2)/(-4)). Let n(w) = -6*w - 3. What is u*v(g) + z*n(g)? -2*g - 1 Let a = 91 - 88. Let v(t) = 5*t + 2. Let i(r) = 6*r + 3. What is a*v(l) - 2*i(l)? 3*l Let f(q) = -9*q + 11. Let c(a) = -4*a + 5. Suppose 0 = -2*y + 5*w + 7, -5*y + 3*w + 5 = -3. Suppose 4*o + 30 = m, -o - 3*m + y = m. Calculate o*c(j) + 3*f(j). j - 2 Suppose -8*b + 3*b = -15. Let c(v) = v**3 + 0*v**2 + b - v - v + 2*v**2. Let a(n) = 4*n**3 + 8*n**2 - 9*n + 13. What is -2*a(h) + 9*c(h)? h**3 + 2*h**2 + 1 Let d(f) = -231*f**3 - 11*f**2 + 11*f. Let p(b) = 77*b**3 + 4*b**2 - 4*b. Determine 4*d(m) + 11*p(m). -77*m**3 Let c(g) be the first derivative of -g**3/3 - 2*g**2 + g - 1. Suppose -3*t = 2*t. Let h(i) = i**2 - 1 + 5*i + 3 - 3 + t. What is -7*c(m) - 6*h(m)? m**2 - 2*m - 1 Let h(w) = 6*w**2. Let d(z) = -13*z**2. What is 6*d(y) + 14*h(y)? 6*y**2 Let l be 1*3*(-12)/9. Let q(j) = -1. Let u(s) = s + 4. Let z(n) = 5*q(n) + u(n). Let g(i) = 2*i**2 - 2 + 2*i + 3*i**2 - 4*i**2. Give l*z(c) + g(c). c**2 - 2*c + 2 Let i(d) = 3*d**3 + 8. Let l(g) = -3*g**3 - 7. Calculate -6*i(q) - 7*l(q). 3*q**3 + 1 Let a be -1 - -2 - 21/3. Let o(i) = 62 - i - 4*i**2 - 4*i - 67. Let f(m) = m**2 + m + 1. What is a*f(c) - o(c)? -2*c**2 - c - 1 Let n(r) = -125*r + 35. Let j(q) = -14*q + 4. Determine -35*j(m) + 4*n(m). -10*m Let n(c) = 63*c + 13. Let v(g) = -32*g - 6. Determine -6*n(h) - 13*v(h
{ "pile_set_name": "DM Mathematics" }
)/(6*35/(-90)*(-12)/98)? -7 ((-88)/16)/(-11)*(-22)/165 -1/15 Evaluate (222/(-216) - (-20)/(-90))/((-7)/56). 10 Evaluate 735/105*(-1)/(-1). 7 Calculate (-64530)/(-11950) - (7 - 1 - 1). 2/5 What is the value of -6*((-7 - -8) + (-280)/285)? -2/19 What is the value of ((-43187)/(-9092))/((2 + -1)/4)? 19 Evaluate (-72)/252 - 58/(-154) - 1296/(-8976). 4/17 Calculate 1/3*9 - (216/(-20))/(-3). -3/5 (2/(-26))/(30 + 18 + -52) 1/52 Evaluate -1 - -4 - (13650/(-26))/(-21). -22 Evaluate 2/(-11)*129030/1380. -17 1/(2/28) + 2408/(-344) 7 (-324)/42*2184/(-624) 27 Calculate 143/715 + (-8)/20. -1/5 Calculate 1/2 + 0 - (-253)/(-22). -11 What is the value of ((-60)/(-50))/(5 - 3)? 3/5 Calculate 21/(252/(-24))*11 + -3 + 12. -13 1*(-17)/(187/(-33)) 3 What is (-1650)/(-154) - 9*(5 + -4)? 12/7 126/(-27)*657/511 -6 Evaluate (492/2583)/((-20)/(-14)). 2/15 What is the value of 156/(-27) - (-25)/((-200)/(-48))? 2/9 What is the value of (-12 + 51)/((-63)/28*(-10)/(-15))? -26 What is the value of (-6)/45 + (469/(-420) - -4)? 11/4 Calculate 8/(320/230)*-4. -23 2/9 - 3/(-108) - 267/1068 0 12 + (6/5)/((-390)/(-650)) 14 What is the value of (20/(-10))/(-2) + -2? -1 What is 4/((-68)/(-1377)*-9)? -9 Evaluate 168/91 + 2 + -4. -2/13 What is the value of 21/(-98)*1*12/27? -2/21 Evaluate 7497/567 - ((-25)/(-5) + 8). 2/9 Calculate (-1266)/(-5486)*429/9. 11 Evaluate 444*(-13)/(-234) + -21. 11/3 What is (-236)/(-16) + 25 + (-396)/16? 15 Calculate ((-164)/9594)/(1 + 30/(-27)). 2/13 (((-120)/125)/(-12))/(20/100) 2/5 Calculate (24/4*30/45)/(3/6). 8 Evaluate (-3)/84*7*-40. 10 Evaluate (0 + -1)/(10 + (-1100)/99 - -1). 9 What is (-32)/14 + 2 + 24/(-14) + -7? -9 Calculate -31 - (-88)/154*28. -15 What is 1/21 + (-397735)/(-22155)? 18 What is the value of 831/39 + ((-4872)/377)/42? 21 What is -45 - -31 - (-19)/2? -9/2 What is the value of (3 + -243)/16 - 770/(-50)? 2/5 What is the value of (-374)/(-561)*(0 - 3)? -2 What is the value of (50 - 48)/(-2 - -22)? 1/10 What is ((-208)/143)/16*(5 + -7)? 2/11 Calculate (-9 + (3 - 276/(-48)))*(4 + 1). -5/4 What is 47*2075/23406*((-5)/(-1) - -1)? 25 What is the value of 0 - 5/(15/(-12))*(-1190)/952? -5 What is 2/(-8) + 9 + 402/(-24)? -8 What is the value of 11 - (114/(-14))/((-411)/1918)? -27 What is ((-2)/1)/(8/(-2)) - 100/40? -2 What is (-36668)/27768 + 8/39*(-18)/(-24)? -7/6 What is the value of ((-160)/(-28))/(860/(-70) - -12)? -20 What is 34 + -38 - (2/(-6))/((-7)/210)? -14 Calculate 95 + -106 - 468/(-44). -4/11 Calculate ((-92)/(-966))/((-6)/14). -2/9 What is the value of ((-5 - -8) + 6)*(-20)/(-480)? 3/8 What is 12 + -9 + -7 + 1? -3 What is (-4*(-27)/(-144))/((-333)/296)? 2/3 What is -5*(-11)/(-495) + (-13)/(-9)? 4/3 What is the value of ((-3 - -12 - 12) + 1)/(-20)? 1/10 (-2)/8 + (-555)/(-1740) 2/29 Evaluate ((-128)/36 - 0)*(-504)/672. 8/3 Evaluate (-11 + (-209)/(-22))/(18/(-336)). 28 What is the value of 25/300*-18*(10/3)/(-5)? 1 Calculate 10/((-32340)/1806) - 2/(-7). -3/11 Evaluate ((-11)/1 - 0) + 7205/660. -1/12 Calculate 6 - (9/(-117) - (-1134)/182). -2/13 What is the value of (-78)/33 - (-628)/1727? -2 What is (-35)/210*8/2*(-3)/(-11)? -2/11 10224/(-1420) - 9/5 -9 What is the value of 1 + -3 + 5/10*(16 + -10)? 1 What is (95/(10260/24))/((-2)/(-126))? 14 What is the value of 49/(-245) + (-148)/10? -15 (237 + -223)*(-2 + (-40)/(-14) + 0) 12 What is ((-4520)/(-7910))/((-4)/70)? -10 Calculate ((-1802)/8109)/(2/(-102) - 0)*-3. -34 (-12)/(-51)*(-2856)/(-112) 6 What is 1854/618*(-2)/(-78)? 1/13 What is the value of (27/(-2)*-3)/(255/(-170))? -27 Calculate (-7)/(175/(-10)) - (-950)/125. 8 What is the value of 7/(-21)*3*1 - 12/(-1)? 11 (72/(-66))/(4 - (-182)/(-44)) 8 What is the value of (476/(-52) - -4) + (-78)/(-13) + -1? -2/13 What is the value of 6/4 - (3 - (-27)/(-9))? 3/2 Calculate (91/182)/(1/22). 11 5 - (11754/1872 + 4/(-26)) -9/8 Calculate (-27)/(-36)*(-792)/(-108). 11/2 Calculate 1328/1245*(-9)/12. -4/5 (12/42*7/4)/(-1) -1/2 48/2835 - (((-308)/99)/14)/(-3) -2/35 What is the value of 34/(-8)*(-1257)/7123? 3/4 What is the value of 12/2 + 54/(-126)*14? 0 ((-495)/(-2079))/(25/(-45)) -3/7 What is the value of 19 + (-110)/5 - -1? -2 (15125/(-3850))/(10/14*-2) 11/4 What is the value of 1872/910 + (12/10)/(-1)? 6/7 What is the value of (-24)/108 - 272/(-306)? 2/3 Evaluate 1*(-29 + 1334/23). 29 Evaluate (-70)/8*(58 + 8862/(-147)). 20 What is the value of (1092/(-77) - -14) + 2/11? 0 Evaluate (9 - 5 - (-133)/(-38))/((-31)/4). -2/31 Calculate (195/117)/(5/(-42)). -14 What is (385/75 - 5)*(-16 - (-28 - -7))? 2/3 Evaluate 150/(-10) - 658/(-42). 2/3 Evaluate -8 - (7/(-84) - (-718)/(-24)). 22 80/(-36)*(-6)/(-1260)*-9 2/21 What is (4 + -5)*6*(55 + -54)? -6 Calculate (-13)/(273/(-42)) - (-18)/2. 11 Evaluate (7 - 9)/((-332)/(-108) - (-12 + 15)). -27 -13 + (-2)/(9 - 1495/169) -26 Evaluate (-1)/(-5) - (8692/(-265) - -15). 18 What is the value of (15/(-420))/((-60)/1575*5)? 3/16 -8 + -11 + 3 + 42 26 What is 15 + -33 + (-165)/(-16 + 1)? -7 What is the value of ((-14)/(-16) - 1)/(((-18941)/(-124))/(-47))? 1/26 What is -12 - 2/(12 - (-1638)/(-135))? 3 (-594)/(-55) - 9 - 206/120 1/12 Evaluate -4*(-15)/40 - 518/148. -2 Evaluate (-170)/(-22) - (-10 + 5 - -13). -3/11 What is (-1)/4 - 52*(-130)/416? 16 Evaluate -41 + (-2112)/(-33) + -41. -18 What is (48/(-108))/((-128)/48)? 1/6 Calculate (456/(-19) + 30)*(-4 + 716/180). -2/15 Calculate (-2 - 210/(-150)) + 2/20. -1/2 Evaluate (0 - 24/96)/(58/16). -2/29 Calculate (-11088)/(-2160) - 38/10. 4/3 Calculate 6 + -16 - (32/24 - (-2)/(-6)). -11 -7 - ((-273)/(-364))/((-6)/4) -13/2 Evaluate 707/505 + (-294)/35. -7 What is the value of ((-64)/(-40) - 52/15)*3/2? -14/5 Evaluate (-2880)/(-160)*(-2)/12. -3 What is the value of (-22)/(-12) - (-1239)/(-826)? 1/3 Calculate (551/(-319))/((-61)/671). 19 Evaluate (15 + (-1239)/84)/(1/92)*-1. -23 What is the value of (18/279 - 2100/8525) + (-512)/(-154)? 22/7 What is the value of ((-534)/(-1848) - 4/22)/((-42)/(-49))? 1/8 What is ((17/7)/((-321)/749))/((-8)/24)? 17 ((-45)/(-10))/(9 + 136/32 + -5) 6/11 What is the value of ((27260/(-1974))/145)/((3/(-7))/(-1))? -2/9 Evaluate 4*(-2)/(-10) + (-1617)/(-1155). 11/5 What is the value of ((-5)/70)/((-12)/648*3)? 9/7 Calculate (-7 - (-1338)/189)/(50/(-60)). -2/21 What is (-220)/(-66) + (-801)/54? -23/2 Evaluate (17 - 1909/115)/((-11)/(-15)). 6/11 Evaluate 114/1083 + 2/19. 4/19 Evaluate (-1)/(-1)*(-324)/81. -4 ((-10590)/(-17650))/(-1 + 278/20) 2/43 What is (-48)/6 + 713/62? 7/2 Calculate 2*(-2)/(-60)*(20 - (31 - 23)). 4/5 Evaluate 5/((-200)/340) + 0 + (-1)/(-2). -8 What is ((-1624)/(-1044))/((-35)/(-540))? 24 Evaluate (-46)/(-115)*((-30)/12)/5*8. -8/5 Evaluate (1 - (-435)/(-455))*(-14)/(-4). 2/13 What is (-80)/2500*(-55)/22? 2/25 Calculate -8*84/(-96) + (-47)/7. 2/7 Calculate 1860/2325*(-55)/2. -22 What is 16 - (506/(-23) + 19)? 19 Calculate (744/560 - (-3)/30)*-7. -10 Calculate 1*(2 + -4)*(-19)/(-133). -2/7 Evaluate ((-3)/(-20))/(((-42)/(-84))/((-5)/2)). -3/4 What is the value of 6/(-30)*-15*(5 + 2)/203? 3/29 Evaluate (34/6)/(408/(-1224)). -17 Evaluate ((-984)/(-861))/((-6)/(-7)). 4/3 What is the value of ((-512)/640)/(4/6 - (-74)/(-120))? -16 Evaluate 9/(-33) + 1 + 276/1012. 1 Evaluate (-13*(-3)/12)/(20/(-80)). -13 -1 - 10/(-24)*(0 + 9) 11/4 Evaluate ((-4340)/56)/(-31)*(2 + 6). 20 Calculate ((-17)/18 - (-38 + (-9126)/(-243)))*-44. 22 Calculate 45/(-21)*-7 + -2. 13 What is (2/(-8) + 91/28)/(11 - 12)? -3 Evaluate 51/((-39)/(-130)*-10). -17 What is the value of (-7)/(-12 + (-159)/6)? 2/11 17/(-374)*102 + (5 - 0) 4/11 Calculate ((-2)/(-4))/(((-98)/(-12) - 9)/(-5)). 3 What is (19/(-285))/((-7)/21)? 1/5 Evaluate (36/(-2))/(3 - 2) - (37 - 36). -19 112/12*-15*(-12)/(-120) -14 What is the value of (37940/(-39837))/((-50)/14)? 4/15 Calculate 22680/(-4455) + (-2)/(-22). -5 Calculate ((-830)/2324)/(10/16). -4/7 Calculate 481/117 + (10 + -6)*-1. 1/9 Calculate (48/(-8) + 9)*(-91)/21. -13 What is ((-19)/(-9) - 2)*(-8 + 179)? 19 What is the value of (-4)/10*(-7080)/29736? 2/21 What is the value of 1/((-1054)/2856 + (-4)/(-14))? -12 Evaluate (-90)/(-9)*(-6)/12. -5 Evaluate -19 - 29430/945*14/(-24). -5/6 Evaluate 6*76/(-96) - -6. 5/4 Calculate (0 + 2 - (44/24 - 1))*6. 7 Evaluate 5/(-525)*(-3 + 312) - -3. 2/35 What is 11/363 - 95/(-495)? 2/9 Calculate (20 + 768/(-3
{ "pile_set_name": "DM Mathematics" }
= 37 + -35. Let a(h) = -3*h**w + 4 + 7*h**2 - 2 + h**3 - 13*h**2 + 8*h. Is 32 a factor of a(10)? False Let o = 517 + -317. Suppose -31 + o = m. Let s = m - 96. Does 15 divide s? False Let z = -33851 + 59434. Is 21 a factor of z? False Let s = 85 + -85. Suppose p + 122 - 291 = s. Suppose -5*y = p - 504. Is y a multiple of 24? False Let b(n) = n**3 - 23*n**2 + 38*n + 1188. Does 29 divide b(34)? True Suppose -29308 = -2*d + 4*n, -7*d - 3*n - 43977 = -10*d. Does 78 divide d? True Let f(k) be the first derivative of -11*k**2/2 + 33*k + 30. Let p be f(-5). Suppose 0*z = 2*z - p. Is 8 a factor of z? False Suppose 4*w - 5*p = 71, 4*p + 0*p - 30 = -3*w. Let x be 79/((-2)/w + 16/14). Suppose 8*v = x + 121. Does 7 divide v? False Let l be -1 + -8 - (3 - 21/3). Is (-489)/(-9)*3 - l a multiple of 56? True Let f = 31 + -7. Let z(o) = -o**2 + 19*o - 4. Let g be z(18). Does 16 divide f/84 + 248/g? False Let h = 226 + -359. Let c be (-38)/h + 254/(-7). Let k = c - -48. Is 12 a factor of k? True Suppose -63*k + 328541 + 99292 = 0. Is k a multiple of 42? False Suppose 3*v + 4*h = 20644, 5*v - v - 2*h - 27518 = 0. Is v a multiple of 40? True Let g = 59 + -55. Suppose -4*t + 3840 = g*t. Does 20 divide t? True Let l(q) = q**3 - 7*q**2 + 13*q - 11. Let t be l(5). Let i = 7 + -5. Suppose -i*k = -4*o + 454, -t*o - 5*k + k + 424 = 0. Is o a multiple of 37? True Is 13 a factor of (-2 - (-2)/3)/(636/(-509913))? False Suppose -20*f + 61253 = -73947. Does 65 divide f? True Is 25 a factor of 5*(11 + 2466) - 0? False Suppose 141266 = 34*i + 49*i. Does 46 divide i? True Let i(m) = 5*m**2 - 62*m - 10. Is 24 a factor of i(-6)? False Suppose 5*t - 4872 = -4*f, -3*f - 3*t + 927 = -2727. Does 21 divide f? True Let f(i) = -99*i + 2. Let l(u) = 66*u - 1. Let y(m) = 5*f(m) + 8*l(m). Let d = 1832 + -1831. Is 6 a factor of y(d)? False Suppose 3*z + 70 = 5*g, -4*z - 3*g = -z + 54. Does 5 divide (-2136)/z + (-8)/10? False Suppose -5*u + 94 = -56. Let o = u + 98. Is 16 a factor of o? True Is 20 a factor of (2 + -5362)/(19 - (21 - 1))? True Suppose -6*p + 2*p = -3*w, 0 = -3*p. Let s(i) = -4 + w*i + i**2 + 12 - 3*i. Is s(5) a multiple of 3? True Suppose n - 110 = -w, -4*w + 435 = 9*n - 6*n. Suppose -1 = q, 4*g = -2*q - w + 587. Let m = g + 9. Does 13 divide m? True Let w(s) = 23*s**2 - 164*s + 1107. Is 13 a factor of w(15)? True Let c(v) be the second derivative of -95*v**3/6 + 8*v**2 - 11*v. Let k be c(-4). Suppose 4*h - 3*o - k - 32 = 0, -4*h + 408 = 2*o. Does 8 divide h? True Let y = -81 + 79. Let f(t) = -589*t + 97. Is f(y) a multiple of 14? False Let x(d) = -d + 2. Suppose f + 2*f = 2*f. Suppose f = 2*y + 14. Is 2 a factor of x(y)? False Let t = -7037 - -8165. Does 32 divide t? False Suppose -131*v = -100*v - 13733. Does 56 divide v? False Let j be 94 - (0 - 2)*1. Let y = -27 + 82. Let l = j - y. Is l a multiple of 22? False Let x(o) = -12*o + 420. Suppose 4*k = 159 - 299. Does 28 divide x(k)? True Let y be (87/(-6))/(7*1/14). Is 7 a factor of 1 - -159 - y/29? True Suppose -6 - 50 = 8*o. Does 40 divide (-7)/(o/3)*94? False Let s be (-6)/(-18)*0/3. Suppose -22*k + 19*k - 12 = s. Is 10 a factor of (400/28)/(k/(-14))? True Let i(t) = t**2 - 3*t - 9. Let r be i(5). Let s be (-2)/4*(r + 9*-3). Suppose -468 = 9*o - s*o. Is 32 a factor of o? False Let u(k) = k - 6. Let a be u(4). Let s be (2 + 36)/(a - -1). Let d = s - -106. Is 18 a factor of d? False Suppose 22*o - 5345 = 771. Suppose 110 = -12*i + o. Is 3 a factor of i? False Let l be (7 - -188) + 3*-1. Suppose 33*m - l = 29*m. Suppose 2*o = m + 56. Is 16 a factor of o? False Let p be 702/(-9) + 0 + 1. Let v(q) = -5*q**2 + 11*q + 64. Let s be v(-5). Let z = p - s. Does 13 divide z? True Let j(v) = 10*v**2 + 11*v - 2. Let p(a) = -21*a**2 - 23*a + 5. Let q(l) = 9*j(l) + 4*p(l). Let r be q(-4). Is 6 a factor of 20/r - 164/(-14)? True Let z be (-6*(-5)/(-25))/(6/2260). Let m = z + 777. Is m a multiple of 5? True Let k(b) be the first derivative of 7*b**2 + 6*b**2 + 9 - 10*b**2 + 3*b**2 - 5*b. Is 19 a factor of k(2)? True Let f(i) = -24*i + 47. Suppose -12*a + 21 = -11*a. Let y be f(a). Let k = 655 + y. Is k a multiple of 9? True Let a = 25 - 88. Let k = a - -77. Suppose -q = -4*b - k, 0*b - b + 2 = 0. Is q a multiple of 11? True Suppose 4*x + 2*x - 16 - 188 = 0. Does 34 divide x? True Suppose -5387 = -19*a - 2081. Suppose 2*i = 2*c - a + 8, 2*c - 168 = i. Is 17 a factor of c? True Let k(x) = -4974*x - 136. Is 10 a factor of k(-4)? True Let n = -1174 - -51. Let r = -542 - n. Is r a multiple of 46? False Is 19 a factor of 1173 - (3 + 20 + -9)? True Suppose -101 + 41 = -5*f. Let w = -8 + f. Let j(y) = 12*y - 20. Is 10 a factor of j(w)? False Suppose -15*c + 17*c = c + 2849. Is 37 a factor of c? True Let k = -460 + 440. Suppose 12 + 0 = 3*y. Is 7 + k/y + 2 a multiple of 4? True Suppose 0 = -179*k - 1356920 - 57826 + 6664279. Is k a multiple of 299? False Suppose -20*m + 22*m - 4*h - 31384 = 0, 5*m = 2*h + 78476. Does 48 divide m? True Suppose -5*z - 42293 = -3*f, -4*f + 54593 + 1790 = z. Does 9 divide f? False Let x = 43 + -42. Does 8 divide 154 - x*(-9 - -3)? True Suppose 13*v = -8*v + 84. Suppose 0*r + 4*r + o - 191 = 0, 189 = v*r + 3*o. Is 24 a factor of r? True Suppose 8*p = -135 - 105. Let u = 36 + p. Suppose 5*y + 2*s = 44, -y - u = 5*s - 1. Is 5 a factor of y? True Suppose -36*c + 37*c = 28. Does 22 divide c/(36/(-9)) + 514? False Is (-7)/(-2)*(-3834)/(-189)*15 a multiple of 5? True Let c(a) = -466*a + 771. Does 64 divide c(-9)? False Let c = -7562 - -7600. Does 9 divide c? False Suppose 5*y + 493 = 5*i - 5307, -5814 = -5*i - 2*y. Suppose -4*r - 4*u + 926 = u, 0 = -5*r - 4*u + i. Suppose r = 9*f - 8*f. Is f a multiple of 18? True Let f(y) be the second derivative of 43*y**4/4 + y**3/3 - y**2/2 + 2*y + 11. Suppose -4*p + 2*p - 4*v - 2 = 0, 3*p + 4*v + 3 = 0. Does 18 divide f(p)? True Does 9 divide (-93486504)/(-9495) + (-4)/(-30) + 0? True Let b(c) = -c**2 + 23*c - 11. Let h be b(16). Suppose -3*l + 450 = 4*d, h = 3*d + 2*l - 237. Suppose -744 + d = -10*n. Is 34 a factor of n? False Is 62 a factor of 19363 + 12*(3 + -9)/(-72)? False Suppose -d + 5*d - 2*b - 14 = 0, 2*d + 2*b = 4. Suppose -46 = -d*k + 182. Is 38 a factor of k? True Let y(i) = 3*i**2 - 18*i - 20. Let v be y(8). Suppose -8690 = 17*q - v*q. Is q a multiple of 10? True Suppose -5 = -a + 3*x, 4*a - 6 = -3*x + 8*x. Is 39228/140 - a/(-10)*2 a multiple of 14? True Let l = -49 + 44. Does 21 divide -2 + -1 + 71 + l? True Suppose -5*c + 14 = -3*k + 23, -5*k - 16 = 2*c. Is (-1 - (-1 - k)) + (-12403)/(-157) even? False Let j(n) = 11 - 5*n + 12*n**2 - 2*n + n**3 + 6*n**2. Let c be j(-18). Let w = c + -97. Does 5 divide w? True Let o be 2500/(-12)*(-5 + -10). Suppose 10*s = 5*s + o. Is s a multiple of 35? False Suppose 0 = -3*u - 5*q + 21 + 18, 0 = -6*u + 5*q + 123. Let y(w) be the first derivative of 9*w**2/2 + 45*w + 4. Is 9 a factor of y(u)? True Let s(r) = -2*r**2 + 29*r + 10. Let n be s(13). Suppose -t = n - 231. Does 21 divide t? False Let g = -66632 - -115340. Does 36 divide g? True Suppose -20 = 2*n - 7*n. Let k be -48*(14/n + -4). Does 27 divide (-54)/24*(0 - k)? True Let t(d) = -d**3 - 35*d**2 - 125*d - 39. Let c be t(-31). Let a(o) = o**2 - 3*o - 7 + 9*o + 1. Is 7 a factor of a(c)? False Let y(r) = 9 - r**2 + 0 - 12 - 18*r**3 - 8*r - 3. Does 11 divide y(-3)? True Let n(p) = -7567*p - 18877. Does 82 divide n(-12)? False Let m(p) = 7*p**3 - 2*p**2 - 25*p - 263. Is m(17) a multiple of 39? False Does 13 divide (-27293 + -1)/(-6) - (-2 + 1)? True Suppose -2*j = -3*a - 351, 4*a = -j + 456 - 297. Is 2 a factor of j? False Suppose -105*v - 6210 = -3*k - 107*v, 0 = 2*k + v - 4141. Does 56 divide k? True Suppose -c - 6*c = -11*c. Suppose c = -3*l - 2*q + 27, -l + 0 = -q - 4. Does 7 divide l? True Let f(i) = -i**2 - 5*i + 29. Let k be f(-5). Let p = k + -28. Is p/6 - 5361/36*-2 a multiple of 67? False Let a be (-45)/30*(152/(-6))/2. Suppose -a = 4*b - u + 4*u, -u - 10 = 5*b. Is 11 a factor of 6/(-5)*(4 - 79) - b? False Let p(s) be the first derivative of s**4/4 - 2*s**3 - 3*s**2/2 - 15*s - 8. Let j be p(7). Let t(k) = -k**2 + 15*k + 10. Is t(j) a multiple of 11? False Let r(l) = 112*l**2 + 62*l + 130. Is r(-2) a multiple of 3? False Let s(b) = 16*b**3 + 5 + 2*b**2 + 3*b + 13*b - 21*b.
{ "pile_set_name": "DM Mathematics" }
(1 - -1). Let h = f - 5. Suppose 10 = z + h*j - 2, z - 20 = -5*j. Solve z = -3*v - 5*b + 31, -4*v + 5 + 28 = 5*b for v. 2 Let l = 4 - 6. Let z(p) be the first derivative of p**3/3 + p**2/2 + 2*p - 2. Let w be z(l). Solve 4*o - 3*o + w*j - 15 = 0, 4 = j for o. -1 Suppose 4*h - 60 = 56. Solve -3*k + h = -4*z, k + 3*z = z - 7 for k. 3 Suppose 0 = -4*c - 2 + 18. Solve k = -2*d + 11, 2*k - 1 + 3 = c*d for k. 5 Suppose 10 - 88 = -39*j. Let k be ((-1)/(-2)*0)/(-2). Solve -4*m - 4*q = k, -j*m = 4*q - 0*q - 8 for m. -4 Let f(r) = 1 - 3*r**3 + 5*r - r**2 + r**3 - 2*r. Let w be f(-2). Let n = w + -2. Solve n*h + 2*j = 2*h - 3, 0 = -5*h + 5*j - 30 for h. -3 Let w be ((-51)/12 - -4)*-12. Solve 4*q + 22 = -2*c, -2*q = -c - w*q - 6 for c. -1 Let t = 36 + -24. Suppose 3*y = -y + 16. Solve -x + y*x + 4*u = 0, t = -4*u for x. 4 Let r be ((-3)/(-6))/((-2)/(-8)). Let n(p) = -p**2 + 5*p + 3. Let i be n(5). Solve -f + i*f + 5*o = -22, r*f + 4*o + 18 = 0 for f. -1 Suppose -2*g + 18 = -46. Let a = -4 + 7. Solve 5*z - z + 5*s + g = 0, a*s + 12 = 0 for z. -3 Let p(u) = -u + 10. Let h be p(8). Let s be h/(-6) + (-20)/(-6). Solve -5*j = 20, 12 = 2*w - 4*w - s*j for w. 0 Suppose -2*u + 7 = w, -u + 0 = 5*w - 26. Suppose w*i = 2*i. Solve -o + 4*m = -i*m - 6, 2*o + 2*m = -8 for o. -2 Suppose -v = 5*f - 150, 0*f = -f + 3*v + 30. Let d be (-1)/((-3)/f) + -3. Suppose 5*q - 18 = d. Solve t - w = 0, 0 = 4*t - q*w - 2 - 0 for t. -2 Let a be 3/((-51)/(-30) + -2). Let d = 2 - a. Let s be 18/4 + 2/(-4). Solve 5*q + 5 = -5*x, -x + 5*x + d = s*q for x. -2 Let c = -4 + 8. Suppose 2*g = 4*u - 28, 0 = -u + 3*g + 3 + c. Solve 8 + u = -3*d - 4*f, f = -d - 4 for d. -1 Suppose 16 = 2*j + 4. Let f = -132 - -132. Solve -5*c + 4*s = -j, c - 3*s = -f*s + 10 for c. -2 Suppose 1 = -8*j + 25. Let a = 2 - -3. Solve -a = 3*l + j*g + 1, l + 2*g + 5 = 0 for l. 1 Suppose 2 = 5*b + 12. Let v be (-3)/(-9)*(-24)/b. Solve -v = -t, -2*t + 7 = -3*h + 2*t for h. 3 Let m(b) = -3*b**3 - b + 1. Suppose 5 = 4*f + f. Let j be m(f). Let c be ((-45)/j)/3 + 1. Solve 3*o + 12 = 3*l, -c*o + o - 20 = 2*l for o. -4 Let n(x) be the third derivative of -x**6/120 - 11*x**5/60 + x**4/24 + 13*x**3/6 - x**2. Let z be n(-11). Solve z*y - 4*y = -2*c + 8, y = -c for y. -2 Suppose 5*x + 15 = -0. Let r = x - -23. Solve 0 = -4*z - 4*m + r, 5*z = -4*m + 2*m + 16 for z. 2 Let u be -1*(-1 + 3 + 4). Let b be (-4)/u - (-143)/33. Solve 5*y + 4 = -1, b*y = 4*d + 11 for d. -4 Suppose 0*p = -3*p - 4*w - 32, 4*p + 2*w + 26 = 0. Let c be (2 - -1)/3 - p. Solve 2*q = -4*b - 22, 0 = 4*b - c*q - 4 + 19 for b. -5 Suppose 0 = -4*s + 5 + 39. Solve -5*d - 2*y - y = s, -y = 2 for d. -1 Suppose -4 = -2*y - 0. Solve x - y = 4*z, 2*x - x = 2 for z. 0 Suppose u + 0*u + 5*j = -10, -3*j - 6 = -3*u. Solve u = -4*p + s - 16, s + 20 = -4*p + 3*s for p. -3 Let b = 21 + -16. Let x = -5 - -8. Solve -x*m + 8*m = -h - 1, -b*h + 16 = 4*m for m. -1 Let f = 99 + -89. Solve 5*n = -5*i - f, n = -5*i + 7 - 17 for n. 0 Suppose 0 = -3*o - 2*o - 20, o = n - 24. Solve -2*t + a - n = 4*a, -4*t + 4 = -5*a for t. -4 Let u be 1/4*-2*64. Let k be (1/(-2))/(2/u). Suppose -3*y + 4*z + 26 = -2*y, 3*y = 5*z + 43. Solve 17 = y*h - 5*h - 4*q, 4*h - q - k = 0 for h. 1 Let i be (-12)/10*(4 - 9). Solve -2*w - 20 = -i*w + 4*k, 20 = -w - 4*k for w. 0 Suppose 6*p - p = 2*j + 42, 2*p - 2*j - 18 = 0. Solve 7*k + p = 2*v + 4*k, 0 = -v + 5*k + 18 for v. -2 Suppose 2*i - 12 = -i. Suppose -5*s + 4 + 16 = -j, -i*j - 11 = 3*s. Suppose 0*w + 6 = s*w. Solve -3*a - 17 = 2*z, -2*a - 12 = 4*z - w*z for a. -5 Suppose 5*u - 4*j = 23, 4*u - u - 27 = -2*j. Suppose m = 10 - 3. Let i(l) = l**3 + 5*l**2 + 5. Let v be i(-5). Solve y + k = 2*y - u, -m = 2*y + v*k for y. 4 Let l be 8*((-14)/(-4) + -3). Let i = -9 - -12. Solve -2 = t - o, t - i*o = -l*t for t. 3 Suppose 0*z = g - 4*z - 26, 5*g - 4*z - 50 = 0. Solve -4*c - 16 = m, 2*m - m + g = -2*c for c. -5 Let r be 5 - 0 - 0*3/(-6). Solve n + 2*y - 15 = 0, -4*y + 45 = r*n - 0*n for n. 5 Let s(x) = x**3 - x. Let w = 5 - 4. Let z be s(w). Solve -2*d - 2*u + 5 = 25, d + 3*u + 20 = z for d. -5 Let m(t) = 9*t + 81. Let c be m(-9). Solve -2*b - 2*s + 14 = -c*s, b = -2*s + 12 for b. 2 Let y = -1 + 4. Solve -5*x + i = -0*x - 13, y*i + 13 = 2*x for x. 2 Suppose -3*t = m - 17, -4*t + 6*m + 12 = 2*m. Solve 4*p - 17 = -t*s, -3*s + p = -0*s - 17 for s. 5 Let o(j) = 2*j + 1. Let q be o(1). Let b(n) be the second derivative of n**4/12 + n**2 + 3*n. Let t be b(q). Solve 4*p + h - t = -6, 2*p + 4*h - 6 = 0 for p. 1 Let l(h) = h - 8. Let b be l(13). Suppose 3 = b*g - 12. Solve -3*w = -4*w - 4*i - 18, -g*w - i + 1 = 0 for w. 2 Let m be (-2)/(-1 + 1/2). Let f be (-1 - 0)*1/(-1). Suppose m = l - f. Solve l*k = -4*r + 25, 3*r - 9 = -4*k + 10 for r. 5 Let b = -9 - -14. Let n(k) = 11*k. Let x(v) = 33*v + 1. Let q(c) = 8*n(c) - 3*x(c). Let u be q(-2). Solve 0*y + 3 = 3*y + h, 0 = b*y - 3*h - u for y. 2 Let z = -20 - -24. Let o be (-2)/6 - (-5)/(-3). Let b be (0 + o)*-3 + -1. Solve 0 = 3*q + b*j - 17, z*q - j = -5 + 20 for q. 4 Let b(m) = -m**3 - 2*m**2 - 3*m - 1. Let f be b(-2). Solve -f*h - 40 = -3*s, -h + 5 = s + s for s. 5 Let v be (-56)/(-12) - (-2)/(-3). Let i = v - 2. Solve 20 = -4*n - 2*j, -n - i*j = 15 - 7 for n. -4 Let u = -17 - -22. Suppose u*h - 10 = -5*i + 3*h, 3*i - 6 = h. Solve d + 8 = -3*z + 1, -3*z = i*d + 11 for z. -1 Let x be (-6)/18 - (-3)/9*25. Solve 2*q + 3*a - x*a - 33 = 0, 2*q - 4*a - 28 = 0 for q. 4 Suppose 0 = 4*z - 12 - 44. Let t(o) = -o**2 - 5*o - 1. Let f be t(-4). Solve -2*b - f*d - z = -d, -3*d - 6 = 0 for b. -5 Let y = -5 - -8. Let d = y - 1. Solve -2*c - 5*u = 31, c + 5 = -d*u - 8 for c. -3 Let t = 172 + -157. Solve t = -m + 4*l, 2*l - 21 = 4*m - l for m. -3 Let p(b) = -2*b + 21. Let j be p(14). Let s = 11 + j. Solve 0 = -g - 4, -i + s = -2*g - 4 for i. 0 Suppose -3*b - 9 = -3*h, 0 = 3*h + 4*b - 25 - 12. Solve -4*j - h*s = -2*s - 24, -4*s + 18 = 2*j for j. 1 Let d(k) = 5*k + 5*k**2 - 4 - k**2 + 0*k - k**3 - 2*k**2. Let n be d(3). Solve -3*m - m + n*j = -6, j = 3*m - 2 for m. -1 Let u be 0 - 3 - (-11 - -4). Let t = u - 0. Solve 5*f + 10 = 2*i - 0, 3*f = -t*i - 32 for i. -5 Let k = 11 + -6. Suppose 3*f - 51 = -0*f. Suppose 17 = -4*d + 5*d - 4*a, 4*d + a - f = 0. Solve 3*v = k*w + 21, 2*v + 4 = -d*w - 7 for v. 2 Suppose 0 = 2*x + 4*b - 4, 0 = 2*x - 5*b - 4. Suppose -5*w = 4*o - 30, 2*o - 2 - 4 = x*w. Let g = o - 3. Solve -k - j - 7 = -g*j, -5*k - 27 = -j for k. -5 Let c(m) = m. Let r be c(-4). Let u = 6 + r. Let y = u - -2. Solve 5*k + y*q + 11 = -8, -2*k - 3*q = 9 for k. -3 Suppose 4*o - 16 = 2*a, 2*o - 2*a - 14 = -o. Solve -5*h = -4*h + o, -q = -3*h - 5 for q. -1 Suppose a + 12 = 5*a. Suppose a*x + 29 = 5*d, -7 = -d + 2*x + 3. Suppose -3*q - 48 = -3*v, 0*v = 4*v + d*q - 32. Solve 0 = -0*z + 2*z, 4*p - v = 3*z for p. 3 Suppose -x = -2*x. Suppose x*r + 2*r = 4. Solve -t + 4 = -r*g - 4, -4*t = -2*g - 8 for g. -4 Let u = -12 + 12. Solve -4*h = -2*a, 5*h + 3*a - 22 = -u*h for h. 2 Let n(p) = -p + 7. Let s be n(11). Let m(r) = -r - 2. Let c be m(s). Solve 5*y - 5*i = -c*i, -y = 5*i for y. 0 Suppose 0 = -4*c - 4, c + 7 = k - 0*c. Let y be (-2)/5 + (-2)/(-5). Solve y = 3*p - 3*w + k, 3*p = -5*w - 2 + 4 for p. -1 Let y = 32 - 28. Solve 3*q + l = -7, -y*q + 3*l - 31 = -0*l for q. -4 Suppose 4*u + 24 = 6*u. Solve 4*l - 12 = -h, u + 4 = -4*h for l. 4 Suppose 4*c + 12 = 0, 5*x - 4*c - 28 = -3*c. Suppose 4 = -2*u + 12. Suppose i = 9 - u. Solve -30 = -4*t + 2*j, -2*t + i*t = -x*j - 10 for t. 5 Let i(t) = -t + 3. Let n = -6 - -2. Let k be (n - -2)/(2/4). Let r be i(k). Solve 2*v + r = 3*v + 2*z, 17 = 3*v + 5*z for v. -1 Let r(k) = -k**3 - 5*k**2 - 4*k + 2. Let g be r(-4). Suppose -2*n = g*n + 4. Let d be (n - 18/2)/(-2). Solve 4*z = -o - 19, 5*o + d*z = 3*z - 23 for o. -3 Suppose 3*p - 42 = -3*t, -5*p = -3*p - 2*t - 48. Solve 5*h = 3*c - 23, -c + 4*h = -p + 2 for c. 1 Let w(t) = -t + 5. Let y be w(-4). Suppose -3*u - 3*i = -y, -u + 3*i - 6 = 3. Solve -5*b + 4*j - 10 = u, 5 = -b + 2*j + 3 for b. -2 Let l be (30/(-12))/(2/((-16)/10)). Solve 2*f - 2 = l*z - 0*f, -15 = 5*f for z. -4 Let t be 7/(7/6) + -3. Suppose t = -f, 5*c = f + 8 - 0. Let h be 2/(c*(-2)/(-8)). Solve -3*m + 5*s = 6, -5*s = -m - 3*m - h for m. -2 Suppose 5*t = t + 12. Solve 0 = -4*p - t*i - 19, -7*p - 4*i =
{ "pile_set_name": "DM Mathematics" }
*l - 78 = 0. -13, -1, 2 Factor -2*t**2 + 118*t - 1560. -2*(t - 39)*(t - 20) Let -h**3/2 + 6729*h**2/2 - 5661612*h + 5658248 = 0. Calculate h. 1, 3364 Factor 4*q**5 + 144*q**4 + 884*q**3 + 2168*q**2 + 2352*q + 928. 4*(q + 1)*(q + 2)**3*(q + 29) Factor -2*w**3/11 - 1240*w**2/11 - 2474*w/11 - 1236/11. -2*(w + 1)**2*(w + 618)/11 Solve -2*u**4/9 - 34*u**3/9 + 44*u**2/9 + 136*u/9 - 16 = 0 for u. -18, -2, 1, 2 Factor 2*i**2/9 - 20*i - 62. 2*(i - 93)*(i + 3)/9 Solve -t**2 - 4*t = 0. -4, 0 Solve -3*z**4/5 - 442*z**3/5 - 16132*z**2/5 + 10952*z/5 = 0. -74, 0, 2/3 What is c in 5*c**4 + 1670*c**3 + 1660*c**2 - 1670*c - 1665 = 0? -333, -1, 1 What is s in s**4 + 71*s**3/4 + 175*s**2/2 + 97*s - 30 = 0? -10, -6, -2, 1/4 Find v, given that 2*v**2/15 - 436*v/15 = 0. 0, 218 Factor -2*j**2/11 - 282*j/11. -2*j*(j + 141)/11 Factor -5*b**3 + 152*b**2 - 205*b + 58. -(b - 29)*(b - 1)*(5*b - 2) Factor 3*t**5 - 27*t**3 + 12*t**2 + 36*t. 3*t*(t - 2)**2*(t + 1)*(t + 3) Factor 3*o**4/2 + 9*o**3 + 3*o**2/2 - 36*o + 24. 3*(o - 1)**2*(o + 4)**2/2 Factor y**4/6 - 278*y**3 + 154845*y**2 - 28954350*y + 170953875/2. (y - 555)**3*(y - 3)/6 Let -2*n**2 + 460*n + 1398 = 0. Calculate n. -3, 233 Let -3*q**3 + 27*q**2 - 72*q + 48 = 0. Calculate q. 1, 4 Factor 5*l**2 - 200*l + 2000. 5*(l - 20)**2 Determine j so that j**4 + 376*j**3 + 34966*j**2 - 71064*j + 35721 = 0. -189, 1 Factor -12*s**2/5 - 184*s/5 + 128/5. -4*(s + 16)*(3*s - 2)/5 Suppose 261*l**2/4 + 132*l + 3 = 0. Calculate l. -2, -2/87 Factor -6*b**2 - 3936*b/5 - 786/5. -6*(b + 131)*(5*b + 1)/5 Factor -4*c**3 + 12*c**2 + 36*c + 20. -4*(c - 5)*(c + 1)**2 Factor 6*x**2 + 3910*x/3 + 868/3. 2*(x + 217)*(9*x + 2)/3 Suppose -2*h**3/5 - 68*h**2/5 + 14*h = 0. Calculate h. -35, 0, 1 Find z, given that -15*z**5 - 42*z**4 - 6*z**3 + 48*z**2 + 21*z - 6 = 0. -2, -1, 1/5, 1 Let -11*s**5/5 + 171*s**4/5 - 991*s**3/5 + 2641*s**2/5 - 642*s + 280 = 0. What is s? 1, 2, 28/11, 5 Factor -3*n**3/4 + 411*n**2/4 - 102*n. -3*n*(n - 136)*(n - 1)/4 Solve -3*s**3 - 39*s**2 = 0 for s. -13, 0 Find o such that o**4/5 + 2*o**3 + 5*o**2 = 0. -5, 0 Factor -4*p**2 + 16*p + 468. -4*(p - 13)*(p + 9) Find a such that -4*a**5/3 + 10*a**4/3 + 50*a**3/3 + 10*a**2/3 - 46*a/3 - 20/3 = 0. -2, -1, -1/2, 1, 5 Factor 22*f**4 - 18*f**3 - 136*f**2 - 24*f. 2*f*(f - 3)*(f + 2)*(11*f + 2) Factor -j**2/2 - 2*j + 21/2. -(j - 3)*(j + 7)/2 Find a, given that -2*a**4 + 392*a**3 + 1202*a**2 - 1592*a = 0. -4, 0, 1, 199 Solve -2*a**5/5 - 2898*a**4/5 - 8682*a**3/5 - 8678*a**2/5 - 2892*a/5 = 0 for a. -1446, -1, 0 Factor -t**3 - 59*t**2 - 840*t + 900. -(t - 1)*(t + 30)**2 Determine a, given that -a**5 + 7*a**4 - 19*a**3 + 25*a**2 - 16*a + 4 = 0. 1, 2 Suppose -5*w**5 + 30*w**4 + 60*w**3 - 440*w**2 + 480*w = 0. What is w? -4, 0, 2, 6 Factor -2*o**2/15 - 4*o - 58/15. -2*(o + 1)*(o + 29)/15 Factor 5*n**4/3 + 85*n**3/3 - 95*n**2 + 295*n/3 - 100/3. 5*(n - 1)**3*(n + 20)/3 Solve 2*y**4/3 + 14*y**3/3 + 10*y**2 + 6*y = 0. -3, -1, 0 Factor 6*h**2/5 - 244*h/5 + 32. 2*(h - 40)*(3*h - 2)/5 Find h such that -h**3/5 - 47*h**2/5 - 416*h/5 + 676 = 0. -26, 5 Factor 5*j**2 + 760*j - 765. 5*(j - 1)*(j + 153) Find o such that -4*o**2 + 284*o/5 + 48 = 0. -4/5, 15 Factor -10*r**3 + 35*r**2 + 70*r + 25. -5*(r - 5)*(r + 1)*(2*r + 1) What is y in y**2 + 10*y + 9 = 0? -9, -1 Let -5*x**5/2 - 37*x**4/2 - 59*x**3/2 - 27*x**2/2 = 0. Calculate x. -27/5, -1, 0 Solve 8*h**4/5 + 6*h**3/5 - 314*h**2 + 6024*h/5 - 1408/5 = 0. -16, 1/4, 4, 11 What is f in -f**5/5 + f**4 + 53*f**3/5 - 121*f**2/5 - 952*f/5 - 784/5 = 0? -4, -1, 7 Factor -3*j**2 + 333*j - 972. -3*(j - 108)*(j - 3) Factor -r**5 + 46*r**4 - 744*r**3 + 4592*r**2 - 3920*r - 32928. -(r - 14)**3*(r - 6)*(r + 2) Factor c**5 - 11*c**4 - 57*c**3 + 227*c**2 - 244*c + 84. (c - 14)*(c - 1)**3*(c + 6) Let 2*a**2/5 + 392*a/5 - 2424/5 = 0. Calculate a. -202, 6 Factor 4*j**2 - 232*j - 480. 4*(j - 60)*(j + 2) Factor 4*d**3 - 40*d**2. 4*d**2*(d - 10) Factor -4*i**2 + 16*i - 12. -4*(i - 3)*(i - 1) Factor 2*g**4/9 - 10*g**3/9 + 2*g**2/3 + 2*g. 2*g*(g - 3)**2*(g + 1)/9 Factor -4*b**3/7 + 312*b**2/7 - 1020*b + 5600. -4*(b - 35)**2*(b - 8)/7 Suppose -3*b**5 + 6*b**3 - 3*b = 0. What is b? -1, 0, 1 Factor -3*w**2 + 3546*w - 1047843. -3*(w - 591)**2 Solve -3*s**2 - 222*s = 0 for s. -74, 0 Factor 4*s**5 - 20*s**4 + 32*s**3 - 16*s**2. 4*s**2*(s - 2)**2*(s - 1) Factor -3*x**2/2 - 99*x/2 + 51. -3*(x - 1)*(x + 34)/2 Factor 5*y**2 - 530*y + 2040. 5*(y - 102)*(y - 4) Suppose -2*j**5/7 - 4*j**4/7 + 2*j**3 - 8*j**2/7 = 0. Calculate j. -4, 0, 1 Solve 5*b**2 - 40*b + 35 = 0. 1, 7 Factor 2*u**5 - 16*u**4 + 14*u**3. 2*u**3*(u - 7)*(u - 1) Solve 5*z**4 + 5*z**3 - 75*z**2 + 115*z - 50 = 0. -5, 1, 2 Find n such that 7*n**5/2 - 61*n**4/2 - 39*n**3/2 + 197*n**2/2 - 34*n - 18 = 0. -2, -2/7, 1, 9 Determine g so that -g**2/4 + 275*g/2 + 551/4 = 0. -1, 551 Factor 3*j**5 - 18*j**4 - 108*j**3 - 120*j**2. 3*j**2*(j - 10)*(j + 2)**2 Factor -4*j**4/5 - 296*j**3/5. -4*j**3*(j + 74)/5 Factor 5*j**2 - 3115*j + 3110. 5*(j - 622)*(j - 1) Solve -200*w**4/3 - 5240*w**3/3 - 13054*w**2 - 63404*w/3 - 29282/3 = 0 for w. -121/10, -1 What is p in -8*p**5 + 32*p**4/3 - 26*p**3/9 + 2*p**2/9 = 0? 0, 1/6, 1 Solve -2*l**4/5 - 44*l**3/5 - 58*l**2/5 + 464*l/5 + 96 = 0 for l. -20, -4, -1, 3 Factor -2*s**2/5 - 5316*s/5 - 3532482/5. -2*(s + 1329)**2/5 Factor h**2/3 + 268*h/3 - 271. (h - 3)*(h + 271)/3 Factor -z**5 + 26*z**4 - 193*z**3 + 312*z**2 - 144*z. -z*(z - 12)**2*(z - 1)**2 Factor -3*o**4/5 - 12*o**3/5 - 3*o**2 - 6*o/5. -3*o*(o + 1)**2*(o + 2)/5 Factor -2*u**2/9 - 68*u/9. -2*u*(u + 34)/9 Solve -3*a**4/2 - 519*a**3/8 - 2049*a**2/8 - 294*a - 117/2 = 0. -39, -2, -1/4 Factor 2*d**5 + 64*d**4 + 776*d**3 + 4448*d**2 + 12160*d + 12800. 2*(d + 4)**3*(d + 10)**2 Factor c**2 - 9800*c. c*(c - 9800) Suppose i**3/4 - 13*i**2/2 + 48*i - 72 = 0. Calculate i. 2, 12 Solve -6*o**2/7 - 1434*o/7 - 7020/7 = 0 for o. -234, -5 Solve 3*j**2/2 + 1818*j = 0 for j. -1212, 0 Factor -d**4 + 21*d**3 + 227*d**2 + 195*d - 1450. -(d - 29)*(d - 2)*(d + 5)**2 Factor 2*o**3/3 + 164*o**2/3 - 680*o/3 + 688/3. 2*(o - 2)**2*(o + 86)/3 Suppose 5*f**2 + 8820*f + 3889620 = 0. What is f? -882 Let 2*h**2/9 - 980*h/3 + 120050 = 0. What is h? 735 Factor -4*v**3 + 1708*v**2 - 183180*v + 181476. -4*(v - 213)**2*(v - 1) What is l in 2*l**3 - 18*l**2 + 40*l = 0? 0, 4, 5 Factor 2*r**4 + 10*r**3 + 18*r**2 + 14*r + 4. 2*(r + 1)**3*(r + 2) Let 5*w**5 + 1200*w**4 + 75510*w**3 + 421200*w**2 + 616005*w = 0. Calculate w. -117, -3, 0 Suppose -2*r**2 + 408*r + 410 = 0. Calculate r. -1, 205 Let -5*q**3/3 + 76*q**2 - 851*q - 1058/3 = 0. What is q? -2/5, 23 Let 2*c**2/5 - 12*c/5 + 2 = 0. Calculate c. 1, 5 Factor -3*v**2/7 - 16938*v/7 - 23907987/7. -3*(v + 2823)**2/7 Factor -6*c**4/5 + 2*c**3 - 4*c**2/5. -2*c**2*(c - 1)*(3*c - 2)/5 Determine d, given that 36980*d**3/3 + 54610*d**2/3 - 1285*d/3 + 5/2 = 0. -3/2, 1/86 Let -5*i**4 + 265*i**3 + 1410*i**2 + 2300*i + 1160 = 0. What is i? -2, -1, 58 Factor 4*w**4 - 108*w**3 + 380*w**2 - 276*w. 4*w*(w - 23)*(w - 3)*(w - 1) Factor 2*x**4 + 58*x**3 - 254*x**2 + 326*x - 132. 2*(x - 2)*(x - 1)**2*(x + 33) Suppose -i**3/3 - 11*i**2/3 + 4*i/3 + 44/3 = 0. What is i? -11, -2, 2 Find u such that 4*u**5/11 + 90*u**4/11 + 652*u**3/11 + 1368*u**2/11 - 112*u - 882/11 = 0. -9, -7, -1/2, 1 Determine r so that -r**4/2 - 90*r**3 + 1131*r**2/2 + 1399*r + 744 = 0. -186, -1, 8 Factor d**3 + 10*d**2 - 63*d - 648. (d - 8)*(d + 9)**2 Factor 4*y**3/5 + 228*y**2/5 + 1596*y/5 + 1372/5. 4*(y + 1)*(y + 7)*(y + 49)/5 Factor 2*u**5/7 - 228*u**4/7 + 9628*u**3/7 - 174928*u**2/7 + 146334*u + 2829124/7. 2*(u - 29)**4*(u + 2)/7 Determine m so that 3*m**4 - 11*m**3 - 14*m**2 + 32*m + 32 = 0. -4/3, -1, 2, 4 Find f such that 14*f**3 + 142*f**2 + 308*f = 0. -7, -22/7, 0 Suppose 10*f**4/3 + 142*f**3 - 1072*f**2/3 + 120*f = 0. Calculate f. -45, 0, 2/5, 2 Factor -2*x**3/13 - 32*x**2/13 - 122*x/13 - 132/13. -2*(x + 2)*(x + 3)*(x + 11)/13 Determine y so that -y**5/2 - 19*y**4/4 + 41*y**3/2 - 28*y**2 + 16*y - 13/4 = 0. -13, 1/2, 1 Factor -3*i**5 + 6*i**4 + 60*i**3 + 72*i**2. -3*i**2*(i - 6)*(i + 2)**2 Determine z, given that 3*z**2 - 339*z + 1620 = 0. 5, 108 Factor 864*b**4 + 22896*b**3 - 60840*b**2 + 51700*b - 14500. 4*(b + 29)*(6*b - 5)**3 Determine o so that 14*o**5/19 + 18*o**4/19 - 122*o**3/19
{ "pile_set_name": "DM Mathematics" }
n, -5 = 3*w + n. Solve w*f - 15 = -5*f for f. 3 Let i(g) = g**3 - 4*g**2 + g - 6. Suppose -5*w + 5 = -4*w. Let r be i(w). Suppose 4*x + r = u - 12, 0 = 5*u - 3*x - 112. Solve -3*d = d + u for d. -5 Let w(r) = -r**3 + 9*r**2 - 9*r + 13. Let o be w(8). Solve 0 = o*b - b - 20 for b. 5 Let a = 66 - 56. Solve 4*z - 10 = a for z. 5 Suppose -2*k + 3*k = 12. Let a be 44/k - (-1)/3. Let d be 3 + 2/a*2. Solve -d*b = -b for b. 0 Let n be 2*(-2)/(-4) + 1. Suppose 20*g - 43 - 17 = 0. Solve -n - 4 = g*b for b. -2 Let d be ((-1 - -2)*(-2 - -15))/1. Solve -12 - d = -5*r for r. 5 Let w be 1 - 1*4/4. Suppose 0 = -4*g - w*g + 8. Solve u + g = -3 for u. -5 Let m = 11 - 11. Solve m = -4*h - 1 - 3 for h. -1 Let l(r) = -r**3 - 5*r**2 + 8*r + 13. Let u be l(-6). Solve -2*n - 7 = -u for n. -3 Let j = 7 - 2. Let t = 8 - 5. Let b(x) = x - 13. Let g be b(15). Solve g*k + t*k = j for k. 1 Suppose -2*t = -5*t + 6. Solve t*h + 0*h = 0 for h. 0 Suppose -28*a + 27 = -19*a. Solve a*t + 12 = -0*t for t. -4 Let u = -38 - -45. Solve -3*q + 16 = -u*q for q. -4 Let k(o) = o**3 + 6*o**2. Let b be k(-5). Suppose -4*v = v - b. Suppose 4*d = -5*x + 20, 3*x = 7*x + v*d - 25. Solve x = -2*h + 3*h - 1 for h. 1 Let k(x) = -x**3 + 6*x**2 - x + 8. Let z be 28/5 + 2/5. Let q be k(z). Solve q*h + 0 = 6 for h. 3 Let s be 3*4/(-12) - -1. Solve s*w + 8 = -4*w for w. -2 Suppose -3*z + 5*z - 28 = -4*l, 0 = -z - 5*l + 26. Suppose -z = 5*o - 31. Solve 7*n = 2*n + o for n. 1 Let g = 0 - -2. Let p(j) = -g*j - 4*j - 5 + 5*j. Let v be p(-10). Solve c - v*c = 12 for c. -3 Suppose 3*t - 4*t = -15. Let q be 80/t*(-6)/(-4). Suppose q = 3*j - 1. Solve j*g = 7*g - 4 for g. 1 Let y(i) = 2*i**2 - 3*i. Let l be y(2). Let f be (10/(-4))/((-4)/24). Let w = -9 + f. Solve -2 = l*u + w for u. -4 Let q = 158 - 150. Solve 0 = -0*o - 2*o + q for o. 4 Let w(s) = 6*s - 1 + s - s. Let k(m) = m**3 - m**2 + 1. Let j be k(1). Let f be w(j). Solve 3*r = f*r + 2 for r. -1 Let v = -3 - -3. Let a = v - 0. Suppose 0 = -g - a + 2. Solve -12 = -g*i - 2 for i. 5 Let v(o) = -2*o - 9. Let b(d) = 3*d + 10. Let l(i) = 4*b(i) + 5*v(i). Let r be l(5). Suppose -k + 4*a = 15, 2*a - 5 - 2 = k. Solve -r*c = k + 4 for c. -1 Let d be (-196)/6 + (-4)/(-6). Let c = -17 - d. Solve 0 = b - 4*b - c for b. -5 Let x be 1/(-3)*9*-1. Let g(w) = w**2 + 7*w + 12. Let i be g(-5). Solve i*y - 4 = x*y for y. -4 Let n = -2 + 2. Suppose 6*j - 4*j - 6 = n. Suppose 1 + 1 = -5*z + j*b, -3*b + 14 = z. Solve -2*v - 6 = z for v. -4 Suppose 6*t - 25 = t. Suppose -t*y - 3 = -38. Solve 5*v + y + 8 = 0 for v. -3 Suppose -5*z = 20, -x + 3 - 13 = 3*z. Suppose 5*t - x - 3 = 0. Solve p = -t + 6 for p. 5 Suppose -m + 6 = 2. Let q be (-1 - 3) + 3 + m. Solve q*r + 2 - 11 = 0 for r. 3 Suppose -11*t + 7*t = -8. Let j(g) = g**3 - 8*g**2 + 6*g + 9. Let y be 7 - 0*1/2. Let h be j(y). Solve 0*n + t*n - h = 0 for n. 1 Let t(u) = -u**2 - u + 9. Suppose -4*p - g - 3 = 0, 3*p = -2*p - 5*g - 15. Let l = p - 0. Let b be t(l). Solve 0 = -n - 2*n + b for n. 3 Let l be (-11 - 1)*(-2)/8. Solve 4 = -l*r + 1 for r. -1 Let f be (-12)/15 - 88/(-10). Let r be (4 - 1) + 4/(-2). Suppose -r + f = u. Solve -u*i - 20 = -3*i for i. -5 Let o be 31 - ((-3 - -11) + -4). Let q = o - 22. Solve -17 + q = 3*s for s. -4 Suppose -5*m - 9 = -29. Suppose 0 = -m*l + 6*l + 2. Let a be (l + 0)*(-6 + 4). Solve -i + a*i + 4 = 0 for i. -4 Let b(m) = m**2 + 2*m - 4. Let r be b(-4). Suppose -4*g = -4, -5*y + 27 = r*g + 8. Solve y = 4*d - 13 for d. 4 Suppose 8*t + 59 = 5*k + 6*t, 3*k + 2*t - 29 = 0. Solve -2*d = k - 5 for d. -3 Let c = -2 - -3. Solve 1 = -b - c for b. -2 Let x(m) = m - 3. Let w = -17 - -25. Let q be x(w). Solve -g = -q*g + 12 for g. 3 Suppose -7*b - 18 = -13*b. Solve 9 + 6 = b*f for f. 5 Suppose 0 = 3*g + g - 40. Let n = 10 - 4. Suppose -n = 2*y, -5*y - 19 = -r - 2. Solve g = 7*v - r*v for v. 2 Let l(a) = -2*a**2 - 13*a - 1. Let r be l(-6). Solve -n + r = 1 for n. 4 Suppose -16 = -3*h + 44. Solve -d = 4*d - h for d. 4 Let u = 22 - 6. Let b be ((-3)/3)/(-1)*3. Let a be 19/4 - b/(-12). Solve -a*j - u = -6 for j. -2 Let w be (1/(-4))/(2/(-8)). Suppose -5*g - w = -16. Solve 0 = o - g - 0 for o. 3 Let q be (-2)/6 - (-40)/12. Solve 0*n - n - q = 0 for n. -3 Suppose 2*i + 4*s - 20 = -0*i, -3*i - 4*s + 24 = 0. Let b = -2 + i. Solve 2*t + b = -6 for t. -4 Suppose 9 = 3*o - 0. Suppose 5*m - o*m = 10. Suppose m*b - 1 = 29. Solve b*x + 10 = x for x. -2 Let n = 72 - 40. Let q be (-1)/(-3) - n/(-12). Solve q*d = d for d. 0 Suppose z = -b - 3, 3*z - 5*z = 3*b + 8. Let w = -3 + 2. Let l = z - w. Solve -h = -l*h + 5 for h. -5 Suppose 0 = -0*p - 3*p. Solve -4*i - 20 = -p*i for i. -5 Let y = 19 - 18. Solve y = -g + 2 for g. 1 Let m be 2 + -3 - 2/1. Let t be m/(2 + -2 - 1). Solve t*g = -2*g for g. 0 Let u = 22 + -20. Solve -2 + 0 = -u*c for c. 1 Let v = 26 - 24. Let l be 9/15*(-5)/(-1). Solve 5*r = -l - v for r. -1 Suppose -p + 0 + 3 = 0. Solve p*b + 12 = -b for b. -3 Let l(u) = u**3 + 10*u**2 - u + 5. Let x be l(-10). Let d be 5/x + (-3)/9. Solve d*y + 3*y + 12 = 0 for y. -4 Suppose 12 = 3*c + 4*k, -2*k + 6 = -0*c - c. Suppose 4*q - 2*f = 16 - 0, 5*f = c. Solve 0 = -0*y - q*y for y. 0 Let u(g) = 3*g**2 - 2*g - 2. Let b be u(2). Let d(j) = -j + 10. Let y be d(b). Solve -y*p = -2*p - 2 for p. 1 Suppose 0 = 5*f - f - 20, -5*f = -5*j. Suppose 4*p + 4*i - 53 = -13, -2*p + 3*i + j = 0. Solve -p*g = -3*g for g. 0 Let r be (-8)/10*(-70)/28. Solve 2*s + r = s for s. -2 Suppose 10*b = 9*b. Suppose -3*r + 4 = -5. Suppose 0 = -r*n + 5 + 19. Solve b = 2*m - 0*m + n for m. -4 Let x be ((-4)/(-6))/(2/6). Let r = -1 + 5. Suppose -l = -x*l - r*i - 16, -4*l - i - 4 = 0. Solve -1 = -l*n - n for n. 1 Let a(d) = d**3 - 6*d**2 + 3*d + 7. Let s be a(5). Let w = -1 - s. Suppose -7*f = -w*f. Solve -c + 2 + 2 = f for c. 4 Let t = -129 + 129. Solve 6 = -2*c - t*c for c. -3 Let t be ((0/1)/(-4))/2. Let u(i) = 3*i - 4. Let c be u(2). Solve t = c*o - o - 1 for o. 1 Let l = -25 + 28. Solve -3 = -0*m + l*m for m. -1 Let o = 11 - 7. Let r = -5 - -12. Solve -r*c = -o*c - 15 for c. 5 Let d be (3/(-2))/(4/(-8)). Suppose 12 = d*p - 4*m, -p + 0*m - 2*m = 6. Solve p = -2*i + 9 - 1 for i. 4 Let g = -181 + 183. Solve -3 = -5*l + g for l. 1 Let h be 0 + 9/3 - -7. Let q be (12/h)/((-12)/(-80)). Solve 0 = -q*z + 3*z for z. 0 Suppose -9*r = -4*r - 20. Solve r = -0*l - l for l. -4 Suppose 4*j = 6*j - 2*g - 8, 2*j = -2*g + 8. Suppose -j*z - 2 = 5*i - 38, -2*i - z + 12 = 0. Solve i = 6*s - 4*s for s. 2 Let l be 4 + 1 - (0 + 0). Suppose -4*t + 4*n = 3*n - 363, -l = -5*n. Suppose 41 + 5 = 2*v + u, -3*v + 4*u = -t. Solve -j = 4*j - v for j. 5 Suppose 5*p - r + 32 = 0, -2*p + 2*r = -3*r + 22. Let k = p + 8. Solve 0 = -0*a + k*a for a. 0 Suppose -3*z + 6*z = 0. Solve -15 = -3*u - z*u for u. 5 Suppose 2*a - 15 = -a. Suppose -z - y - y + 2 = 0, 22 = a*z - 2*y. Solve -k = -0*k - z for k. 4 Let t(q) = -q - 7. Let k be t(-7). Suppose -5*z - 6 = -4*v, z + z - v = 0. Let j be 2 + (10 - (-4)/(-2)). Solve -3*x - z*x + j = k for x. 2 Let f = 9 - 6. Let s = 27 - 15. Solve -f*p + 0*p = -s for p. 4 Suppose 5*w - 12 = 2*w. Solve f + 3 = w*f for f. 1 Let o(g) be the second derivative of -1/3*g**3 + 0 - 2*g - 2*g**2. Let m be o(-8). Solve -k + m = 2*k for k. 4 Let x be ((-4)/(-5))/(18/45). Solve x*h - 2 = -0 for h. 1 Let f = -7 - -7. Let j(v) = -v**2 + 5*v - 4. Let z = 6 - 2. Let n be j(z). Solve f*u - 5*u = n for u. 0 Suppose 5*c - 16 = -o - 3*o, 16 = 4*o - 3*c. Solve 0 = -3*l + 5 + o for l. 3 Let g = 17 + -13. Let u = g + -2. Solve -8 = u*c - 2 for c. -3 Let r(t) = 4*t - 16. Let q be r(5). Solve 10 = -q*x + 22 for x. 3 Suppose -2*i = 2*i - 24. Suppose -i*d + d + 25 = 0. Solve -d*w = -3 - 2 for w. 1 Suppose 3*o + 0*o - 95 = z, o = -z + 33. Suppose 0 = u - 5*u + o. Solve p - u = -p for p. 4 Suppose 0 = 5*p - 2*p - 6. Solve -p = b - 6 for b. 4 Let i(h) = h**3 + 7*h**2 + 4*h - 9. Let p be i(-6). Let k(m) = -m. Let g be k(-4). Solve 3*z - g*z = p for z. -3 Suppose 0 = -v - 2*q - 2, v + 0*v - 5*q = 5. Solve 4*u + 16 + v = 0 for u. -4 Let q be 22/6 + (-16)/(-48). Solve -q = -o - 0 for o. 4 Suppose -16*z + 15 = -19*z. Let d be (-2 - z - -3) + -2. Solve -o = -d*o for o. 0 Suppose 4*x = -5*n + 94, 0 = 2*x - n - 0*n - 40. Solve -3*g - 6 = -x for g. 5 Suppose 0 = -4*z - 0*z + 40. Suppose -4*x = i -
{ "pile_set_name": "DM Mathematics" }
lacement from zozzzoiziozz. 7/220 Two letters picked without replacement from oohfhjohvhhm. What is prob of sequence oo? 1/22 Calculate prob of sequence vf when two letters picked without replacement from {f: 1, t: 1, v: 1}. 1/6 What is prob of sequence fp when two letters picked without replacement from bfffp? 3/20 Two letters picked without replacement from {m: 1, u: 1, t: 2, j: 1}. Give prob of sequence uj. 1/20 Four letters picked without replacement from {c: 4, k: 3, i: 4, s: 3}. What is prob of sequence ckis? 6/1001 Two letters picked without replacement from {s: 1, i: 1, y: 1, u: 1, h: 1}. Give prob of sequence uy. 1/20 Two letters picked without replacement from {e: 4, w: 4, t: 2}. What is prob of sequence ew? 8/45 Three letters picked without replacement from {i: 1, s: 1, o: 1, w: 1, f: 1}. Give prob of sequence iow. 1/60 Calculate prob of sequence na when two letters picked without replacement from awnrwrrnwnrr. 1/44 What is prob of sequence dz when two letters picked without replacement from {h: 8, z: 1, q: 2, b: 4, d: 1}? 1/240 What is prob of sequence sd when two letters picked without replacement from ssdds? 3/10 What is prob of sequence iki when three letters picked without replacement from iiktititittttti? 1/91 Two letters picked without replacement from dodotuoo. Give prob of sequence dt. 1/28 Two letters picked without replacement from cgggbbggghhbllcgbghh. What is prob of sequence cg? 4/95 Two letters picked without replacement from mvyvmyvvyvymvmm. What is prob of sequence mm? 2/21 Two letters picked without replacement from hahpcp. What is prob of sequence ph? 2/15 What is prob of sequence bbet when four letters picked without replacement from bbbtlnebbsbtsb? 1/286 Calculate prob of sequence vvh when three letters picked without replacement from hvvv. 1/4 Calculate prob of sequence bbkb when four letters picked without replacement from {b: 3, r: 1, k: 4, l: 1, x: 2}. 1/330 What is prob of sequence qttq when four letters picked without replacement from {q: 5, t: 3}? 1/14 What is prob of sequence qquu when four letters picked without replacement from {u: 11, q: 2}? 1/78 Calculate prob of sequence dhl when three letters picked without replacement from dlldldhhdldldlldlld. 8/323 Calculate prob of sequence llal when four letters picked without replacement from {j: 5, l: 3, a: 3}. 1/440 Four letters picked without replacement from qtthhatttqqhyhtv. Give prob of sequence thyt. 1/364 Four letters picked without replacement from {v: 3, g: 5}. What is prob of sequence gvgv? 1/14 Three letters picked without replacement from {s: 1, m: 1, v: 3, e: 1, r: 1}. What is prob of sequence vre? 1/70 What is prob of sequence yal when three letters picked without replacement from {a: 1, y: 6, i: 5, l: 3}? 3/455 Four letters picked without replacement from opzsmmpjsjmm. Give prob of sequence sojs. 1/2970 Three letters picked without replacement from {v: 1, s: 1, x: 12}. Give prob of sequence xxs. 11/182 Two letters picked without replacement from {r: 4, w: 2, a: 1, n: 2, l: 3, m: 2}. What is prob of sequence rm? 4/91 What is prob of sequence lllh when four letters picked without replacement from jbbjljjjlblbbbbjhb? 1/12240 Four letters picked without replacement from hathkxtauah. What is prob of sequence hxhu? 1/1320 Calculate prob of sequence mmm when three letters picked without replacement from mmmyymmymmmymymmmmm. 364/969 Two letters picked without replacement from {e: 4, f: 2}. What is prob of sequence ef? 4/15 Three letters picked without replacement from iiiiririiiii. Give prob of sequence iii. 6/11 Four letters picked without replacement from {e: 1, u: 3}. Give prob of sequence ueuu. 1/4 What is prob of sequence fz when two letters picked without replacement from {f: 4, z: 7, b: 1, a: 1, j: 5, s: 1}? 14/171 Calculate prob of sequence qqq when three letters picked without replacement from qqqq. 1 Two letters picked without replacement from oggg. What is prob of sequence go? 1/4 Four letters picked without replacement from {z: 1, q: 4, a: 2, m: 3}. Give prob of sequence zmma. 1/420 Calculate prob of sequence ur when two letters picked without replacement from rru. 1/3 Four letters picked without replacement from vvvvvvvyvvvvvvvvvyv. Give prob of sequence vyvy. 1/171 Calculate prob of sequence ccts when four letters picked without replacement from {t: 1, s: 2, c: 2}. 1/30 Three letters picked without replacement from vlv. What is prob of sequence lvv? 1/3 Two letters picked without replacement from huupomuu. What is prob of sequence mh? 1/56 Four letters picked without replacement from {y: 6, a: 1, u: 3, v: 4, q: 1, b: 5}. Give prob of sequence qbvu. 1/1938 What is prob of sequence aul when three letters picked without replacement from {a: 3, u: 1, b: 5, l: 1, c: 2}? 1/440 Two letters picked without replacement from kggfkjjbjjgjgjj. What is prob of sequence jb? 1/30 Two letters picked without replacement from uxucacuucxcxu. Give prob of sequence xu. 5/52 Four letters picked without replacement from {r: 2, p: 2}. What is prob of sequence rppr? 1/6 Four letters picked without replacement from ooooogoogoo. Give prob of sequence ogoo. 7/55 Calculate prob of sequence xg when two letters picked without replacement from nccxgncyyxyncqcgncxx. 2/95 What is prob of sequence sfs when three letters picked without replacement from {n: 1, f: 3, t: 1, s: 5, b: 10}? 1/114 Calculate prob of sequence hbzh when four letters picked without replacement from {z: 1, v: 4, x: 3, j: 3, b: 2, h: 3}. 1/3640 What is prob of sequence kj when two letters picked without replacement from {z: 2, k: 1, i: 1, c: 2, j: 4}? 2/45 Four letters picked without replacement from {e: 4, h: 10}. What is prob of sequence eeeh? 10/1001 Calculate prob of sequence ooyo when four letters picked without replacement from {j: 1, o: 4, y: 2}. 2/35 Calculate prob of sequence xo when two letters picked without replacement from {f: 2, o: 4, x: 1}. 2/21 Calculate prob of sequence qoo when three letters picked without replacement from {v: 3, o: 7, q: 2, e: 3, n: 1, x: 3}. 14/969 Four letters picked without replacement from {c: 7, t: 1, f: 1, o: 2, v: 2, w: 2}. Give prob of sequence wocc. 1/195 Four letters picked without replacement from {w: 2, c: 11, q: 2}. Give prob of sequence ccwc. 11/182 What is prob of sequence gli when three letters picked without replacement from giiiljj? 1/70 Two letters picked without replacement from rplsj. Give prob of sequence pj. 1/20 What is prob of sequence uuu when three letters picked without replacement from odduodouooddodu? 1/455 Two letters picked without replacement from acdcdavadd. What is prob of sequence dv? 2/45 Three letters picked without replacement from tbfaaybt. Give prob of sequence aay. 1/168 Four letters picked without replacement from {i: 6}. Give prob of sequence iiii. 1 Four letters picked without replacement from cccccc. What is prob of sequence cccc? 1 Three letters picked without replacement from vvpx. What is prob of sequence vpv? 1/12 What is prob of sequence ap when two letters picked without replacement from {p: 1, e: 4, a: 2}? 1/21 Four letters picked without replacement from hddqqdqdrbqdrcqqrbc. What is prob of sequence bbcd? 5/23256 Calculate prob of sequence wx when two letters picked without replacement from {l: 2, x: 1, i: 1, g: 1, y: 1, w: 1}. 1/42 Three letters picked without replacement from sqqeqeqccqseqsqees. What is prob of sequence qqe? 35/816 What is prob of sequence xw when two letters picked without replacement from wwxwwx? 4/15 Two letters picked without replacement from rrqrqrqrqrqqqqqqrrrq. What is prob of sequence rq? 99/380 What is prob of sequence sn when two letters picked without replacement from {n: 8, s: 3}? 12/55 Calculate prob of sequence qq when two letters picked without replacement from {x: 4, d: 7, q: 3, i: 4}. 1/51 Calculate prob of sequence jyy when three letters picked without replacement from jjjjjjjjjyjjjjbjjj. 0 Three letters picked without replacement from jjjmmjmjjmijjj. What is prob of sequence mjm? 9/182 Three letters picked without replacement from {j: 2, g: 1, k: 2, d: 4}. What is prob of sequence djg? 1/63 Calculate prob of sequence ci when two letters picked without replacement from {c: 2
{ "pile_set_name": "DM Mathematics" }
out replacement from xhxhgxsgquux. Give prob of sequence uh. 1/33 Two letters picked without replacement from yuyyyyyuyyuyyyyy. What is prob of sequence uy? 13/80 Calculate prob of sequence ww when two letters picked without replacement from {y: 5, m: 1, w: 2, o: 1, z: 1}. 1/45 Calculate prob of sequence voh when three letters picked without replacement from hvtvhhhvqttmhooho. 9/680 Two letters picked without replacement from flllfllflf. What is prob of sequence lf? 4/15 Two letters picked without replacement from lpahh. What is prob of sequence pa? 1/20 What is prob of sequence is when two letters picked without replacement from {s: 2, x: 4, i: 2, a: 1, e: 1}? 2/45 Three letters picked without replacement from rdakydy. Give prob of sequence dyd. 2/105 Calculate prob of sequence jzv when three letters picked without replacement from ssszlsvsvshvhhhjls. 1/1632 Two letters picked without replacement from qttmeeqquqettb. Give prob of sequence qm. 2/91 Three letters picked without replacement from {e: 14, b: 4}. Give prob of sequence eee. 91/204 What is prob of sequence gyg when three letters picked without replacement from {y: 2, g: 4}? 1/5 Three letters picked without replacement from {w: 7, x: 2, g: 1, h: 2}. Give prob of sequence hhg. 1/660 Calculate prob of sequence jju when three letters picked without replacement from jyegycjyeuyj. 1/220 Calculate prob of sequence nmfz when four letters picked without replacement from {f: 2, m: 1, z: 1, n: 1}. 1/60 Three letters picked without replacement from jwjawx. Give prob of sequence wxj. 1/30 Three letters picked without replacement from uuuiuuuuuiui. What is prob of sequence uui? 9/55 What is prob of sequence ng when two letters picked without replacement from {n: 1, g: 8, p: 4}? 2/39 What is prob of sequence mu when two letters picked without replacement from uuummiim? 9/56 Calculate prob of sequence me when two letters picked without replacement from vzevzbzvvzezvvemvzv. 1/114 Calculate prob of sequence mm when two letters picked without replacement from {m: 13, f: 3}. 13/20 What is prob of sequence ytj when three letters picked without replacement from {j: 2, g: 1, y: 5, t: 8}? 1/42 Four letters picked without replacement from {v: 6, h: 4, u: 1}. What is prob of sequence vhhv? 1/22 What is prob of sequence nnmn when four letters picked without replacement from mnnnnnnnmn? 2/15 What is prob of sequence kk when two letters picked without replacement from kkkkkakkkkka? 15/22 What is prob of sequence qu when two letters picked without replacement from bquqbbrgbbumbrqrggr? 1/57 Three letters picked without replacement from {n: 5, l: 2, h: 1, u: 8}. Give prob of sequence hnu. 1/84 What is prob of sequence hy when two letters picked without replacement from {e: 4, y: 8, h: 2}? 8/91 Four letters picked without replacement from {d: 1, j: 5, p: 11}. Give prob of sequence jpjp. 55/1428 Three letters picked without replacement from jtjlxxtjjxtljjxjj. Give prob of sequence jxt. 2/85 Calculate prob of sequence kkbk when four letters picked without replacement from {b: 1, q: 1, e: 1, k: 4, w: 2, u: 3}. 1/495 Three letters picked without replacement from {p: 4, m: 1, z: 1, d: 2, o: 2}. Give prob of sequence zod. 1/180 Four letters picked without replacement from {k: 3, y: 4, q: 1, n: 1, h: 1, x: 6}. What is prob of sequence knyh? 1/3640 Four letters picked without replacement from {p: 2, t: 4, o: 2, q: 1}. Give prob of sequence otqo. 1/378 Three letters picked without replacement from osdoodh. Give prob of sequence odo. 2/35 Calculate prob of sequence ffa when three letters picked without replacement from {b: 4, a: 1, y: 9, f: 2, s: 3}. 1/2907 Two letters picked without replacement from {i: 6, b: 7, l: 6}. Give prob of sequence ll. 5/57 Two letters picked without replacement from {f: 2, i: 2, l: 5, s: 4}. Give prob of sequence lf. 5/78 Three letters picked without replacement from {m: 15, d: 3}. What is prob of sequence dmd? 5/272 What is prob of sequence ou when two letters picked without replacement from woutuhuuh? 1/18 Calculate prob of sequence iuo when three letters picked without replacement from {o: 2, u: 4, w: 10, i: 4}. 4/855 What is prob of sequence ib when two letters picked without replacement from pbyiinibbinibwbbn? 15/136 Three letters picked without replacement from {l: 3, j: 7, m: 7, x: 2}. Give prob of sequence mxm. 14/969 What is prob of sequence xtii when four letters picked without replacement from atttitxxaiaaiat? 1/546 What is prob of sequence ydd when three letters picked without replacement from {y: 8, m: 1, w: 1, d: 5, r: 2}? 2/51 Calculate prob of sequence eqec when four letters picked without replacement from {j: 2, e: 2, c: 3, q: 2}. 1/252 What is prob of sequence ggkd when four letters picked without replacement from {k: 3, f: 1, d: 6, g: 8}? 7/510 Calculate prob of sequence ggn when three letters picked without replacement from {r: 3, n: 2, a: 2, g: 6}. 5/143 Calculate prob of sequence cbu when three letters picked without replacement from cdcutub. 2/105 Two letters picked without replacement from {w: 11, h: 3, t: 4}. Give prob of sequence tw. 22/153 Three letters picked without replacement from {m: 6, b: 1, d: 6, p: 2, k: 2}. What is prob of sequence pmk? 1/170 Two letters picked without replacement from mrmsspa. Give prob of sequence as. 1/21 Calculate prob of sequence oh when two letters picked without replacement from {j: 1, o: 1, s: 3, h: 5, r: 5}. 1/42 Two letters picked without replacement from {c: 12, r: 1, j: 2, n: 3, g: 1, e: 1}. What is prob of sequence rg? 1/380 Calculate prob of sequence pw when two letters picked without replacement from wfrfpfwfbpfrffffp. 3/136 What is prob of sequence ggad when four letters picked without replacement from {a: 3, n: 4, d: 4, q: 1, g: 1, b: 1}? 0 Two letters picked without replacement from {p: 4, q: 1, d: 2}. Give prob of sequence dp. 4/21 What is prob of sequence kto when three letters picked without replacement from ktktott? 4/105 Two letters picked without replacement from {q: 1, l: 1, g: 1, n: 2, s: 1, e: 1}. What is prob of sequence sg? 1/42 What is prob of sequence koo when three letters picked without replacement from aagoagkokoao? 1/55 Two letters picked without replacement from ngg. What is prob of sequence gn? 1/3 Calculate prob of sequence eqg when three letters picked without replacement from tqeggeetqqggg. 15/572 Two letters picked without replacement from qqqqbqqbqbqqqqbb. What is prob of sequence qq? 11/24 Three letters picked without replacement from {b: 1, t: 2, m: 3, y: 1}. What is prob of sequence btt? 1/105 Two letters picked without replacement from {x: 13, t: 5}. What is prob of sequence tt? 10/153 Three letters picked without replacement from tmttmatmtjjtm. Give prob of sequence jja. 1/858 Three letters picked without replacement from yehwddw. Give prob of sequence why. 1/105 Four letters picked without replacement from {h: 3, i: 4, b: 6}. Give prob of sequence hbib. 3/143 What is prob of sequence gsvs when four letters picked without replacement from vsgqskkj? 1/840 What is prob of sequence qj when two letters picked without replacement from {q: 1, d: 1, s: 1, g: 1, e: 2, j: 1}? 1/42 Calculate prob of sequence tt when two letters picked without replacement from titiiug. 1/21 Calculate prob of sequence lq when two letters picked without replacement from lllulqplplqqllllpq. 20/153 Three letters picked without replacement from {j: 1, p: 2, a: 1, i: 7, g: 9}. What is prob of sequence pii? 7/570 Calculate prob of sequence dfif when four letters picked without replacement from idfdiiifi. 5/756 Two letters picked without replacement from qentffy. What is prob of sequence nq? 1/42 Three letters picked without replacement from {q: 2, z: 11}. What is prob of sequence zqq? 1/78 Three letters picked without replacement from {u: 4, g: 7, t: 7}. What is prob of sequence ggu? 7/204 Two letters picked without replacement from wwwwwjwwwwwwwwwwww. Give prob of sequence jw. 1/18 Four letters picked without replacement from {i: 3, h: 11}. What is prob of sequence ihii? 1/364 What is prob of sequence xx when two letters picked without replacement from {x: 2, b: 2, j: 13, y: 3}? 1/190 Two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
the derivative of j(w) wrt w? 37 Suppose -40 = -14*k + 72. Suppose 3*z = 2*z + 10. Find the second derivative of -18*o**5 - 8*o + k*o**5 + 10 - z wrt o. -200*o**3 Let x(z) be the second derivative of -11/5*z**5 - 21*z + 0*z**3 - 2 - 25*z**2 + 0*z**4 + 1/15*z**6. Find the first derivative of x(g) wrt g. 8*g**3 - 132*g**2 Let p(x) be the second derivative of 5489*x**5/10 - 5627*x**4/6 + 9563*x. Find the third derivative of p(m) wrt m. 65868 Let r(l) = 51*l + 116. Let d be r(3). Find the third derivative of 146*u**2 - d*u**5 + 269*u**5 - 49*u**6 + 125*u - 125*u wrt u. -5880*u**3 Suppose 4*h - 8*h + 18 = 3*r, 4*r - 2 = 2*h. Find the third derivative of -84 - 127*y**h - 118*y**2 + 48*y**2 + 71*y**2 wrt y. -762 Find the second derivative of -3*f - 2008*f**5 - 1990*f**5 + 3919*f**5 wrt f. -1580*f**3 What is the third derivative of -4004*b**3 - 307*b**2 - 6653*b**3 - 1219*b**2 + 5 - 5 wrt b? -63942 Find the first derivative of -p**4 - 417936*p - 1457*p**2 + 417936*p - p**4 - 9630 wrt p. -8*p**3 - 2914*p Suppose 6 = -2*q - 0*q, -q - 5 = -y. Find the third derivative of -16*n**2 - 5*n**2 - 58*n**4 - 16*n**2 + 2*n**y wrt n. -1392*n Let d be (1 - 1)*1 + (5 - 2). Suppose 2*a = 4*l - 2, l + a - d*a = -4. What is the third derivative of -25*s**5 - 2*s**2 + l*s**5 - 8*s**2 wrt s? -1380*s**2 What is the third derivative of 2*z**4 + 233*z + 15*z + 425*z**6 + 11*z - 2*z**2 wrt z? 51000*z**3 + 48*z Let j(u) = 4681*u + 7747. Let f(m) = 3519*m + 5810. Let n(z) = -11*f(z) + 8*j(z). What is the first derivative of n(o) wrt o? -1261 Let y(m) = 2*m**2 - 3*m - 2. Let a(h) = -373*h**2 + 6*h - 982. Let q(k) = a(k) + 2*y(k). Differentiate q(z) wrt z. -738*z Let j = -10840 + 54229/5. Let b(v) be the first derivative of -14 + 0*v**3 + 0*v**2 - j*v**5 - 14*v + 0*v**4. What is the derivative of b(t) wrt t? -116*t**3 Let p(n) be the third derivative of 167*n**5/30 - n**4/24 - 2257*n**3/6 - 3*n**2 + 1100. Differentiate p(l) wrt l. 668*l - 1 Let t = -5712 + 5715. Let w(i) be the third derivative of -15*i**2 + 0*i - t*i**3 - 2/3*i**4 + 0. Differentiate w(q) wrt q. -16 Let o(p) = 92*p**2 - 5*p - 173. Let b(k) = -185*k**2 + 11*k + 349. Let y = 573 - 564. Let i(v) = y*o(v) + 4*b(v). Differentiate i(g) wrt g. 176*g - 1 What is the third derivative of 3275*h**2 - 4*h**4 - 27*h**5 + 6*h**4 - 1042*h**2 - h**3 + 766*h**2 wrt h? -1620*h**2 + 48*h - 6 Let q(h) be the third derivative of 95/6*h**3 + h**2 + 1/30*h**5 + 0*h - 2 + 0*h**4. What is the first derivative of q(c) wrt c? 4*c Suppose -3*u = 147 - 153. What is the second derivative of -66*r**2 - 52*r**2 + 16*r**2 + 15*r**2 - 13*r**u - 298*r wrt r? -200 What is the third derivative of 26*y**4 - 677*y**2 - 211*y**2 + 50257 - 72*y**3 - 50252 + 46*y**3 wrt y? 624*y - 156 Let w = 134 + -131. Suppose 0 = 4*m - 6 - 6. What is the third derivative of -6*f**2 - 4*f**2 - 10*f**4 + m*f**2 + w*f**4 wrt f? -168*f Find the third derivative of 195509*g + 257*g**5 - 3*g**3 + 303*g**2 - 195509*g + 2*g**3 wrt g. 15420*g**2 - 6 Suppose -4 = -2*o + 2*w + 8, -3*o - 2*w = -3. Find the second derivative of 19*j**3 - 40*j + 124*j - 3*j**3 - 3*j**o wrt j. 78*j Find the third derivative of 0*l**3 - 24*l**4 - 3225*l**2 + 20*l**4 - 79*l**6 + 13297*l**2 + 0*l**3 wrt l. -9480*l**3 - 96*l Let r(q) be the first derivative of -333*q**4/2 + 2*q**3/3 + 2*q**2 - 18*q + 292. What is the second derivative of r(c) wrt c? -3996*c + 4 Let z(w) = -w + 19. Let g(f) = -5988*f - 13426. Let m(a) = -g(a) + 22*z(a). Differentiate m(d) wrt d. 5966 Let o(v) be the third derivative of -4*v**2 + 0*v + 0*v**6 - 191/336*v**8 + 0*v**5 + 0*v**7 - 25/24*v**4 - 2 + 0*v**3. Find the second derivative of o(a) wrt a. -3820*a**3 Let o(i) = -1718*i**2 - 18*i + 8907. Let v(g) = -860*g**2 - 8*g + 4450. Let u(s) = 4*o(s) - 9*v(s). What is the first derivative of u(m) wrt m? 1736*m Let n(j) be the third derivative of -3*j**9/56 - j**6/15 - 887*j**5/60 - 382*j**2. What is the third derivative of n(c) wrt c? -3240*c**3 - 48 Suppose -r + 68 = -2*b, r - 38 = -3*b + 15. Suppose a + r = 65. What is the second derivative of -240*u**3 - 23*u + 12*u**4 + 240*u**a wrt u? 144*u**2 Let h(t) be the third derivative of -281*t**7/42 - 2105*t**3/3 - 3*t**2 - 617. Differentiate h(g) wrt g. -5620*g**3 Let t(a) be the first derivative of 0*a**2 + 37 + 92*a - 14/3*a**3. Differentiate t(p) with respect to p. -28*p Suppose 0*v + 7*v = 1638. Let b be 4/26*1 - (-198)/v. Find the first derivative of 6 - 10*y + b - 2*y - 1 wrt y. -12 Let z(d) be the third derivative of -1/30*d**6 + 1/24*d**4 + 1/6*d**3 - 35*d**2 + 0*d**5 + 0 + 0*d. Find the second derivative of z(v) wrt v. -24*v Suppose -510 = 11*m + 458. Let o be (5 - 8)/(6/m). What is the second derivative of -5*y + 34*y**3 + 38*y - o*y**3 wrt y? -60*y Let t = 42 - 38. Suppose b - 9 = s - 2*s, 0 = -5*b - t*s + 42. What is the third derivative of 14*o**2 + 9*o**b - 2*o**6 - 22*o**2 wrt o? 840*o**3 Let k be (10 - 212)*(-2)/4. Let z = k - 94. What is the derivative of -z*n**3 - 19 - 12*n**3 + 7 wrt n? -57*n**2 Let w(d) = -d**3 - 3*d**2 + 2. Let l(j) = 1697*j**4 - 6*j**3 - 16*j**2 + 1746*j + 12. Let n(f) = -l(f) + 6*w(f). What is the second derivative of n(r) wrt r? -20364*r**2 - 4 Suppose -80 - 40 = -24*g. Differentiate 17*s**4 + 85 + 6*s**4 - 16*s**4 + 20 - g wrt s. 28*s**3 Let w(j) = 2811*j - 6381. Let f(m) = 17. Let g(t) = -6*f(t) - w(t). What is the derivative of g(d) wrt d? -2811 Suppose 8*q + 104 = 120. Find the third derivative of -760*d**4 + 371*d**4 + 378*d**4 - 97*d**q wrt d. -264*d Let p(q) be the second derivative of -139*q**6/6 - 2049*q**2 - 536*q + 6. What is the derivative of p(i) wrt i? -2780*i**3 Let g(p) be the third derivative of 19*p**7/105 - p**5/3 - 5*p**4/3 - 712*p**2. What is the third derivative of g(n) wrt n? 912*n Let b(z) be the second derivative of z**7/21 - 28*z**5/5 + 91*z**3/2 - 953*z. Find the second derivative of b(c) wrt c. 40*c**3 - 672*c Let c(v) be the second derivative of -107*v**8/1680 + 19*v**4/8 - 9*v**3/2 + v**2 + 20*v. Let y(l) be the second derivative of c(l). Differentiate y(h) wrt h. -428*h**3 Suppose 46*b - 44*b = 8. What is the second derivative of 30*c**b + 13 - 6*c - 3*c + 7*c - 2 wrt c? 360*c**2 Let g(w) be the third derivative of 487*w**6/60 - 751*w**3/3 + 1384*w**2. Differentiate g(y) with respect to y. 2922*y**2 Let a(u) = -u + 20. Let n be a(15). Suppose 2*k = -3*t + 37, 30 = n*k - 4*t - 51. What is the first derivative of 17*s - 7 - 20*s**4 + 29 - k*s wrt s? -80*s**3 Let z(c) be the third derivative of -c**8/24 - c**7/35 - 107*c**4/8 - 975*c**2. Find the second derivative of z(j) wrt j. -280*j**3 - 72*j**2 Let y(q) = -q**2 + 8*q - 8. Let f be y(7). Let b be f/((2/(-2))/2). What is the second derivative of -12*x**2 + 6*x**b + 5*x**2 + 7*x wrt x? -2 What is the second derivative of -138*w - 20*w**5 + 34*w**3 - 142*w + 422*w + 185 - 148*w wrt w? -400*w**3 + 204*w Let s(l) be the second derivative of 291*l - 94/15*l**6 - 7*l**3 + 0*l**5 + 0 + 1/2*l**2 + 0*l**4. What is the second derivative of s(c) wrt c? -2256*c**2 Let c(j) be the third derivative of -j**7/144 + j**6/20 + 71*j**5/60 - 16*j**2 + 1. Let q(k) be the third derivative of c(k). Differentiate q(l) wrt l. -35 Find the first derivative of -3*o - 798 - 94*o**3 - 2*o**2 - 4*o**2 - 4316 - 212*o**3 + 4*o**2 wrt o. -918*o**2 - 4*o - 3 Suppose 0 = -a - 0*a. Let v be 6/4*(a - -2). What is the derivative of 2 + 7*f**4 + v - 4 + 1 wrt f? 28*f**3 Let v be 10/8*(-18)/(-45)*2. Let m = -5 - -10. Differentiate 0*a**4 + a**4 + 8 - m*a**4 - v with respect to a. -16*a**3 Suppose 41 + 31 = 3*c - 4*x, 9 = -3*x. Find the third derivative of 137*l + c*l**2 - 137*l - 5*l**4 + 71*l**2 - 44*l**4 wrt l. -1176*l Let o be 231/15*(8 + -3). Let k = o - 41. What is the second derivative of 18*s - 28*s**2 - 6*s**2 - k*s - 16*s wrt s? -68 Let t = 32 - 26. Let s be (t + (-100)/16)/((-1)/12). What is the second derivative of 7*q + 18 - 18 + 18*q**s wrt q? 108*q Let d(h) be the second derivative of 1/4*h**4 + 1/4*h**5 + h**3 + 0 - 143*h + 3*h**2. What is the second derivative of d(p) wrt p? 30*p + 6 Let o(d) = 171*d**3 - 3*d**2 + 6*d - 140. Let a(g) = -170*g**3 + 3*g**2 - 5*g + 140. Let n(p) = 6*a(p) + 5*o(p). Find the third derivative of n(s) wrt s. -990 Let h(r) be the first derivative of 52/3*
{ "pile_set_name": "DM Mathematics" }
654.26 + -11673. What is s rounded to 0 dps? -19 Suppose 0 = -g - g + 4*w - 403298, 4*g + 806551 = -w. Suppose -7*j - 370917 = -4*j. Let k = j - g. What is k rounded to the nearest 10000? 80000 Let x be -1 + (8/14)/((-12)/(-84)). Suppose 3*o = -4*m - 13717, -10291 = 6*m - x*m - o. What is m rounded to the nearest 100? -3400 Let a be ((-4)/(-3))/((-56)/84). Let v(m) = 21097*m**2 - 7*m - 2. Let d be v(a). Round d to the nearest one thousand. 84000 Let d = 33.29399 + -33.481. Let w = d - -0.186. Round w to four decimal places. -0.001 Let h = -0.0467 + -38.9533. Let j = -395261.9979 + 395223. Let i = h - j. Round i to 3 decimal places. -0.002 Suppose 9*t - 97670720 = 107*t. What is t rounded to the nearest one hundred thousand? -1000000 Suppose 2*p = -3*p + 2*z - 270942597, 5*p + 2*z + 270942593 = 0. Let r = -37418519 - p. Round r to the nearest 1000000. 17000000 Let q = 0.0792 + -26.0092. Let w = q - -25.90402. Round w to three decimal places. -0.026 Let x = -60.7 + 60. Let q = x - -1. Let j = -2.6 + q. What is j rounded to one dp? -2.3 Suppose -3*n = -14*m + 19*m + 15765, -12604 = 4*m + 4*n. Round m to the nearest ten. -3160 Let i = -3642.7542 + 0.7542. Let g = 3641.9998029 + i. What is g rounded to 5 dps? -0.0002 Let p be 32/12*(-6)/(-8). Suppose -4*d + 22314 = p*d. Suppose -u + d = r - 5*r, r - u = -929. Round r to the nearest one hundred. -900 Let w = -10 + 0. Let c = w - -14. Suppose 2*a + 58500 = c*g - 298, -2*a + 29402 = 2*g. What is g rounded to the nearest one thousand? 15000 Let u = -40111438211449911 + 40111440476449328.0000123. Let o = u + -2264999579. Let z = 162 + o. What is z rounded to six dps? 0.000012 Let k(o) = -4586224*o - 2480. Let c be k(-20). Round c to the nearest one hundred thousand. 91700000 Let f = -526 - -525.9764. Let a = 0.022902 + f. Round a to four dps. -0.0007 Let k = -0.02237 - 978.97763. Let f = 15496.929 + -16475.4. Let a = f - k. Round a to 1 dp. 0.5 Let v = -42.6 + -174.4. Let z = 217.00445 + v. Round z to four decimal places. 0.0045 Let w be 2*224771 + 72*25/225. Round w to the nearest ten thousand. 450000 Let x = 46.457704 + -46.51. What is x rounded to 3 decimal places? -0.052 Let i = 639829.00000370343 + -639829. What is i rounded to seven decimal places? 0.0000037 Let o = -6 - -10. Suppose 0 = w + 4*f + 71275 - 22101, -o*f = -4*w - 196616. Let a = w + 73558. Round a to the nearest one thousand. 24000 Let m = -6310 + 6310.12776. Round m to 3 dps. 0.128 Let n = 0.046 + -0.02185. Round n to 2 decimal places. 0.02 Let u = -138.712 - 0.288. Let z = -0.124 + 127.524. Let w = u + z. Round w to the nearest integer. -12 Let d = 4388 + -2693. Let i = -1695.000002862 + d. What is i rounded to 7 dps? -0.0000029 Let o = 217595 + -150545. Let a = -43623 + o. Let y = a + -43427. Round y to the nearest 10000. -20000 Let a = -289655818379259 - -289656052230326.000087. Let q = a - 233850865. Let n = 202 - q. What is n rounded to five decimal places? -0.00009 Let j = -14.0381 - -13.343. Let w = 15.0301 + j. Let p = 0.235 - w. Round p to 0 decimal places. -14 Let g = 32 + -86. Let f = 832 - 883.6. Let i = g - f. What is i rounded to 0 decimal places? -2 Let z = -2471886 + 3609396. Let o = z + 294493. Suppose 0*c = 4*w + c + o, 3*w + 3*c + 1074009 = 0. What is w rounded to the nearest ten thousand? -360000 Let r = -132.055066 + 133.2561. Let v = -1.2 + r. Round v to four decimal places. 0.001 Let h be 556*((-58059)/12 - (-35)/7). Let a be (-62)/(-341) - (h/11 + -1). Round a to the nearest 10000. 240000 Suppose 3*r = -3, -3*b + 478 = 2*b + 2*r. Let z = 96 - b. Suppose 4*c - a + 219604 = z, -2*a = -4*c + 103802 - 323410. What is c rounded to the nearest 10000? -50000 Let c = -4247.9999372 + 4248. What is c rounded to 5 dps? 0.00006 Let a = 150 - 154.46. Let q = a + 4.459999659. Round q to seven decimal places. -0.0000003 Let x = -448 - -402. Let s = -77784 + 77737.973. Let c = x - s. What is c rounded to 2 decimal places? 0.03 Let x = -12.4133 - 0.1867. Let p = -1.4 + 7.4. Let j = x + p. Round j to the nearest ten. -10 Let d be (-5)/(-2)*(-2 + (-18)/(-15)). Let z be (0/(-22))/(d/1). Suppose 5*p - 4891112 + 441112 = z. Round p to the nearest one hundred thousand. 900000 Let r = -4.9 + 2.45. Let b = 0.3 + r. Round b to 1 decimal place. -2.2 Let m be (-1528874 - 34) + 1/((-2)/(-16)). Round m to the nearest 100000. -1500000 Let g = -1757.6 + 1757.569748. What is g rounded to 3 dps? -0.03 Let b = 245526612 + -137827449. Suppose 6*a = -12899163 + b. Round a to the nearest 1000000. 16000000 Let z be (-1 - 35/(-10))/(6/10796)*12000. What is z rounded to the nearest 1000000? 54000000 Let h = 19729728 + -19729725.6198066. Let b = 129.38019281 - h. Let j = -127 + b. Round j to seven dps. -0.0000006 Let t = -37.5 - -38.1841. What is t rounded to 2 dps? 0.68 Let x = 2733.52 + 252.88. What is x rounded to the nearest 100? 3000 Let n = -2477932.888029046 + 2475758.888032. Let v = n + 2174. What is v rounded to 7 dps? 0.000003 Let p = 3447 + -3447.00112. Round p to 2 decimal places. 0 Suppose -5*v = 5*v - 334589890. Let k = v - 48758987. Let q be (-1 - 1) + (k*1)/1. What is q rounded to the nearest one million? -15000000 Let t = 1814558.393776 - 1814785.4. Let x = 227 + t. What is x rounded to 3 decimal places? -0.006 Suppose -7*a - 57419980 = -8*a. Suppose 5*l = 3*j - a, -4*l = -3*j - 0*j + 57419984. What is j rounded to the nearest one million? 19000000 Let c = 119237 - 119236.28937. What is c rounded to 1 decimal place? 0.7 Let i = -4265 - -4264.8788. Round i to 3 dps. -0.121 Let g be -2 + 1 - 0 - -4. Suppose -3*v + g = 3*s, 3*v - 6 = 3*s - 15. Suppose -3754731 = -s*k - 394731. Round k to the nearest one hundred thousand. 1700000 Let w = 20.497 + -1258.597. Round w to the nearest 10. -1240 Let z = -19411.223 - -19405. What is z rounded to the nearest integer? -6 Let w = 25999.38567 - 25999. Round w to one dp. 0.4 Let t = -1586 - -1586.001569. What is t rounded to 4 decimal places? 0.0016 Suppose -3*s - 16 = -3*j - 37, 0 = 3*s + 5*j + 19. Let v be 605/(6/s + (-793)/260). What is v rounded to the nearest one thousand? -12000 Suppose -5*j + 355 = -4*l, 0*j - 4*l + 181 = 3*j. Suppose -69*u + j*u = 1228000. What is u rounded to the nearest 100000? -600000 Let z = 9039.579 - 9031. What is z rounded to the nearest ten? 10 Let r = 13431 - 13430.999974578. Round r to seven dps. 0.0000254 Let l(y) = 5*y + 37. Let i be 2/15 - (-1 - 137/(-15)). Let h be l(i). Let d be 13398 - h*(-6)/(-9). What is d rounded to the nearest one thousand? 13000 Let l be 2 - (0 - 3/(-3)). Let u(p) = -10 - 841788*p - 7958216*p + 13 + l. Let r be u(1). Round r to the nearest 1000000. -9000000 Let n be 1/(-2) + (-21)/(-6). Suppose 0 = n*s - 9*s - 20760000. Round s to the nearest 1000000. -3000000 Let d = 606 - 358. Let u = -251.285 + d. Let i = u + -0.015. Round i to the nearest integer. -3 Let x be (12 - 10)*-5057*1/(-2). Let u = -2831 - -5428. Let z = u - x. What is z rounded to the nearest one hundred? -2500 Let g = 0.447 + 71.753. Let v = g + -9. Round v to the nearest ten. 60 Let y = -161408069 - -161408067.80002489. Let x = y + 1.2. Round x to 6 dps. 0.000025 Let b = -499.4 + 13.4. Let d = -499.5 - b. Round d to the nearest integer. -14 Let z = 381.48 - 228.17. Round z to the nearest 10. 150 Let v(x) = 2011026*x**2 - 11*x + 43. Let p be v(4). Let d = p + -45546415. What is d rounded to the nearest one million? -13000000 Suppose 10*b = -5*b + 266076045. Let g = b + 14281597. What is g rounded to the nearest 1000000? 32000000 Let q = 7148 + -3386. Suppose -11*b - q = -2*b. What is b rounded to the nearest 100? -400 Let p = -0.06864 + -264.23136. Round p to the nearest 10. -260 Let t = -4264.699962181 - -4264.7. Round t to six decimal places. 0.000038 Let a = -35144 - -34920.008. Let c = -222 - a. Let w = -2 + c. Round w to three dps. -0.008 Let y = 12937.7 - 13491. Let z = -150.7 + y. Let d = -733.7 - z. What is d rounded to the nearest integer? -30 Let w = 1559.1 + -1552.586. What is w rounded to one dp? 6.5 Let j be ((-224)/(-168))/((-4)/489597). What is j rounded to the nearest one thousand? -163000 Let g = 3.21 - 3.7. Let r = g - -0.490278. Round r to five dps. 0.00028 Suppose 323*f = -5*p + 321*f + 13616246, 6 = -3*f. Round p to the nearest ten thousand. 272000
{ "pile_set_name": "DM Mathematics" }
rt k. -22*k Let u(a) = 619*a - 1000. Let d(h) = -13*h - 1. Let o(r) = -2*d(r) + u(r). Differentiate o(l) wrt l. 645 Suppose 4*u + 2*g + g = 26, -5*g = -2*u. Suppose 4*t - 24 - 8 = -5*w, -1 = -4*w + u*t. What is the derivative of -6 - v + v - 5*v**4 - 2*v**w wrt v? -28*v**3 Let y(f) be the third derivative of -13*f**7/70 - f**4/8 - 113*f**3/6 - 2*f**2 - 42. What is the derivative of y(h) wrt h? -156*h**3 - 3 Find the second derivative of 32*a**2 - 12 + 10 - 99*a + 101*a + 56*a**2 wrt a. 176 Let b(i) be the third derivative of -17*i**7/42 + i**6/60 + 163*i**5/30 + 24*i**2. What is the third derivative of b(a) wrt a? -2040*a + 12 Let w(s) = -61*s**4 - 8*s**3 + 222*s**2 + 25*s - 5. Let m(a) = a**3 - a**2 - 5*a + 1. Let x(n) = -5*m(n) - w(n). What is the third derivative of x(b) wrt b? 1464*b + 18 Suppose -x = x - 6. Let y be (-1 - (0 - 1))/2. Find the second derivative of -6*i**3 + y - x*i + 0 + 4*i wrt i. -36*i Let v(u) = -160*u**2 - 182*u + 5. Let p(k) = -800*k**2 - 908*k + 24. Let y(r) = 5*p(r) - 24*v(r). What is the second derivative of y(s) wrt s? -320 Differentiate -2777*y**2 + 76 - 79*y**4 + 2777*y**2 with respect to y. -316*y**3 Let j(q) = -26*q - 7*q + 12 - 5 - 4. Let s(i) = -67*i + 4. Let g(t) = 11*j(t) - 6*s(t). Differentiate g(p) with respect to p. 39 Let t = 12 + -9. What is the second derivative of 0*j + 2*j + 4*j**3 - 14*j**t wrt j? -60*j Let c(s) be the second derivative of -39/2*s**2 - 13/2*s**3 - 33*s + 0. Differentiate c(z) wrt z. -39 What is the second derivative of y**2 + y**3 + 317 - 2*y**3 + 7*y - 613 + 312 wrt y? -6*y + 2 Let f(l) be the first derivative of -133*l**4/4 - 3*l**2 + 11*l - 43. Find the second derivative of f(p) wrt p. -798*p Let w = 6 + -2. Let n(o) = -o**2 - 20*o - 61. Let g be n(-16). Find the third derivative of 24*l**g - 24*l**3 - 5*l**2 + w*l**6 wrt l. 480*l**3 Let f(q) be the third derivative of 97*q**6/30 + q**5/6 - q**4/8 - 225*q**2. What is the third derivative of f(u) wrt u? 2328 Let z(y) be the second derivative of 51*y**6/10 - y**5/20 - 227*y**2 - 66*y. What is the first derivative of z(i) wrt i? 612*i**3 - 3*i**2 Let h(n) be the third derivative of -4*n**2 + 0*n**4 - 1/30*n**5 + 0*n + 0*n**6 + 0*n**7 + 0*n**3 + 3/112*n**8 + 0. Find the third derivative of h(x) wrt x. 540*x**2 Suppose 2*t = -4*q + 16, 4*t + 10 = -q + 49. Find the second derivative of 9*r**4 - 24*r**2 + t*r**2 + 14*r**2 - 21*r wrt r. 108*r**2 Suppose -8 = -7*c + 3*c. Suppose 2*w + c - 6 = 0. What is the second derivative of 4*u**w - 6*u + 9*u + 6*u wrt u? 8 Let x(l) be the first derivative of -23*l**5 - l**2/2 + 84*l - 307. What is the second derivative of x(h) wrt h? -1380*h**2 Let c(f) = 2*f + 4. Let v be c(2). Let y be ((-8)/10)/(v/(-20)). Find the second derivative of -2*x**y + 5*x**4 + x + 2*x**2 + 0*x**2 wrt x. 60*x**2 Find the third derivative of -62*f**2 - 29*f**4 + 54*f**4 - 31*f**4 + 2*f**3 wrt f. -144*f + 12 Suppose -3*i - 4 + 49 = 0. Differentiate i*x**2 + 5*x - 15 + 7*x - 12*x with respect to x. 30*x What is the first derivative of -85 - 31*r + 83*r - 32*r - 24*r + 17*r**3 wrt r? 51*r**2 - 4 Let b(p) = p + 6. Let i be b(-2). What is the first derivative of -151*a + 15*a**i + 10 + 151*a wrt a? 60*a**3 Find the third derivative of -71569*p**4 - p + p + 71569*p**4 - 38 - 3*p**2 + 263*p**6 wrt p. 31560*p**3 Let n(t) = 63*t**4 + 2*t - 77. Let h(k) = 125*k**4 + k**3 + 5*k - 154. Let b(x) = -2*h(x) + 5*n(x). Differentiate b(d) wrt d. 260*d**3 - 6*d**2 What is the third derivative of -16*g**3 - 7*g + 9*g**6 + 3*g**3 + 404*g**2 - 22*g + 29*g wrt g? 1080*g**3 - 78 Let r be ((-1)/(-2))/(1/16). What is the second derivative of 17*q**2 + r*q + 18*q**2 + 5*q - q wrt q? 70 Let h(q) be the second derivative of 0*q**3 + 0*q**5 + 0*q**6 - 5/2*q**4 + 0 - 8*q + 0*q**2 - 2/3*q**7. Find the third derivative of h(g) wrt g. -1680*g**2 Let s(v) = -3*v**3 - v**2 - v - 1. Let k(f) = 129*f**3 + 2*f**2 - 5*f + 4. Let m(g) = -k(g) - 4*s(g). Find the third derivative of m(z) wrt z. -702 Suppose n + 17 = -4*d, -5*d + 2*d - 9 = -3*n. Let b(x) = 12*x**2 - x + 39. Let j(o) = -o**2 + o. Let y(m) = n*b(m) - j(m). What is the derivative of y(g) wrt g? -22*g Let a(d) be the second derivative of 0*d**2 + 0 - 10/3*d**3 + 20*d - 7/12*d**4. What is the second derivative of a(y) wrt y? -14 Let b be (2 - -4)*(1 - 0). Let o = b - 4. What is the third derivative of -3*r**o + 8 - 12 + 4*r**5 + 4 wrt r? 240*r**2 Let r(j) = -j + 1. Let h(x) = -12*x + 40. Let u(o) = h(o) - 4*r(o). Differentiate u(k) with respect to k. -8 Let q be (-10)/(-8) - (-115)/(-92). Let k(a) be the first derivative of 7 - 7/4*a**4 + 0*a + 9/2*a**2 + q*a**3. What is the second derivative of k(o) wrt o? -42*o Find the first derivative of 158 - 34 + 5*w + 5*w**2 - 11*w + 12*w wrt w. 10*w + 6 Find the second derivative of 4*o**2 - 72*o + 1 - 17*o**2 + o**2 + 73*o wrt o. -24 Suppose -o = o - 6. Suppose -12*v + 8*v + 28 = 0. What is the third derivative of -3*b**2 - v*b**3 - b**o + 2*b**3 wrt b? -36 Let b(s) = s**2 + 9*s + 8. Let a be b(-1). What is the third derivative of -981*z**6 + 28*z**2 + 0*z + 975*z**6 + a*z wrt z? -720*z**3 Let r(k) = 537*k**3 + 327*k**2 + 9*k + 9. Let t(f) = 270*f**3 + 164*f**2 + 4*f + 4. Let z(l) = -4*r(l) + 9*t(l). What is the third derivative of z(p) wrt p? 1692 Suppose -5*d - 19 = 3*z, -19 = -z + 5*d + 8. What is the third derivative of -17*y**2 - 39*y**z + 43*y**2 + 10*y**4 wrt y? 240*y Suppose 0 = -5*n - 3*u + 40, 0*n - 2*u = n - 15. Suppose -2 - 10 = -4*c. What is the derivative of -5*z**c + 5*z**3 - 22 + n*z**3 + 14 wrt z? 15*z**2 Let d(b) be the first derivative of 14/3*b**3 - 20 - b**2 + 0*b. What is the second derivative of d(r) wrt r? 28 What is the derivative of 372 + h**2 - 113*h + 9*h - 94*h + 46*h wrt h? 2*h - 152 Let v(a) = a**3 + a**2 + 2. Let k(i) = 96*i**3 - 153*i**2 - 4. Let g(j) = -k(j) - 2*v(j). Find the third derivative of g(o) wrt o. -588 Suppose 2*m + 2 = -2, 3*y = 2*m + 34. What is the third derivative of -2*q**6 + 5*q**2 - y*q**2 - 9*q**2 - q**6 wrt q? -360*q**3 Let x = 41 + -5. What is the third derivative of f - 11*f**2 + 0*f + x*f**2 + 55*f**4 - 2*f wrt f? 1320*f Let k(y) be the first derivative of 86*y**3 + 563*y**2/2 - 58. Find the second derivative of k(g) wrt g. 516 What is the second derivative of -18*c + 19*c - 54 + 149 + 75*c**4 wrt c? 900*c**2 Let r(j) be the first derivative of 0*j**3 + 8/5*j**5 + 0*j**4 - 9/2*j**2 + 0*j - 15. Find the second derivative of r(l) wrt l. 96*l**2 Let t(c) = -229*c**3 - 3*c**2 + 109*c + 3. Let n(l) = -458*l**3 - 7*l**2 + 217*l + 7. Let f(s) = -3*n(s) + 7*t(s). What is the second derivative of f(q) wrt q? -1374*q Let c(s) be the first derivative of -7*s**6/120 - s**5/5 + 2*s**3 + 4. Let f(w) be the third derivative of c(w). What is the second derivative of f(i) wrt i? -42 Suppose 34 = -4*u - 18. Let o = u + 16. What is the second derivative of 0*q**3 - 2*q + q**o + 2*q**3 - 2*q wrt q? 18*q Let q(f) = -2*f**4 - 9*f**3 - 4*f**2 - 6*f + 42. Let g(j) = j**4 + j**3 + j**2 + j. Let k(m) = 4*g(m) + q(m). Find the second derivative of k(a) wrt a. 24*a**2 - 30*a Let a(f) = -19*f**2 + 16. Let y(k) = -10*k**2 + 8. Let p(c) = 2*c**2 + 6*c + 7. Let q be p(-3). Let l(s) = q*y(s) - 3*a(s). Differentiate l(g) wrt g. -26*g Let b(q) be the first derivative of -11*q**7/21 - 19*q**4/12 - 26*q + 23. Let t(g) be the first derivative of b(g). What is the third derivative of t(k) wrt k? -1320*k**2 Let k be 7/((-63)/(-36)*2). Let q(a) be the first derivative of 0*a - k*a**3 + 1 - 7/2*a**2. What is the second derivative of q(n) wrt n? -12 Let o(n) be the second derivative of 0*n**5 + 0 + 0*n**6 + 7/2*n**3 + 0*n**4 - 2/7*n**7 - 4*n + 0*n**2. Find the second derivative of o(g) wrt g. -240*g**3 Let u(p) = 440*p**3 - 558*p**2 - 6*p + 3. Let d(f) = 1321*f**3 - 1673*f**2 - 16*f + 8. Let v(n) = -3*d(n) + 8*u(n). Find the third derivative of v(b) wrt b. -2658 What is the second derivative of 119*t**5 - 8554*t + t**3 - t**3 + 6 + 8546*t wrt t? 2380*t**3 Suppose 2*i + 4 = -2*i + 4*f, -i + 14 = 4*f. Differentiate 6*a**2 - 7 + 10*a**2 - 14*a**i with respect to a. 4*a Suppose 9 + 3 = m. Find the first derivative of -3*f + 2*f + m - 4*f wrt f. -5 Let o(p) be the first derivative of 92*p**5/5 + 5*p**3/3 - p**2/2 - 80*p - 517. What is the second
{ "pile_set_name": "DM Mathematics" }
is divided by g? 43 Let s(a) = -a**3 + 5*a**2 + a - 2. Let m be s(5). Suppose -m*j = -4*j + 13. Suppose 4 = r - j. Calculate the remainder when 82 is divided by r. 14 Suppose 2*r - 216 = -128. Calculate the remainder when r is divided by 18. 8 Let m = -121 + 192. What is the remainder when m is divided by 43? 28 Suppose 0 = -5*v + 5*f - 4*f + 225, 4*v = 5*f + 180. What is the remainder when v is divided by 45? 0 Suppose -5*i + 1075 = 5*r, -39 = -r + 3*i + 172. What is the remainder when r is divided by 24? 22 Suppose 4*m - u = 245, 260 = 10*m - 6*m + 4*u. Calculate the remainder when 369 is divided by m. 59 Let o be -54 + (-8)/20*-5. Let u = 74 + o. Calculate the remainder when 85 is divided by u. 19 Let a = -5 - -14. Let x = 9 - a. Let r(c) = c**2 + 12. What is the remainder when 35 is divided by r(x)? 11 Suppose -347 = -5*u - l, 268 = 5*u - u - 4*l. Let n(g) = -4*g**2 + 2*g + 2. Let k be n(-3). Let j = k + 64. Calculate the remainder when u is divided by j. 21 Let n be 28*3*(-25)/(-60). Suppose 2*b - 3*y = 10, -2*b = -7*b + 5*y + n. What is the remainder when 15 is divided by b? 4 Suppose 3*i + 5*b = 4*i + 14, 28 = 3*i - b. What is the remainder when 142 is divided by i? 10 Let r be 6/(-4)*(-100)/30. Suppose 0 = 5*p - 2*h - 565, 5*p + 0*p = -r*h + 600. What is the remainder when p is divided by 29? 28 Suppose -13*k + 10*k = 5*g - 633, 2*g - 270 = 3*k. What is the remainder when g is divided by 10? 9 What is the remainder when 86 is divided by 20/(-2) + 2 - -19? 9 Suppose -8*a - 39 + 247 = 0. Suppose 4*p + 2*u - 56 = 0, 5*p - 3*u - u = 70. Calculate the remainder when a is divided by p. 12 Let h = -85 - -365. What is the remainder when h is divided by 94? 92 Let l(o) = -2*o - 43. Let n be l(-23). Let t(u) = u**3 - u**2 - 3*u + 1. What is the remainder when t(n) is divided by 4? 2 Suppose -24*i = -21*i - 138. Let s = i + -27. Calculate the remainder when 68 is divided by s. 11 Suppose 0 = -5*w - 2*f - 81, 4*f = -3*w - 50 + 7. Let g be (-121)/w + (-14)/119. Suppose -g*l + 4*l = -24. Calculate the remainder when 21 is divided by l. 5 Suppose 4*i = -i + 5. Suppose -2*j + 71 = 3*c, -i - 3 = 4*c. Calculate the remainder when j is divided by 11. 4 Suppose -43*r = 291 - 1452. Calculate the remainder when r is divided by 24. 3 Suppose -2*n + 9 = 1. Suppose k - f - 3*f + 7 = 0, n*f = 8. Suppose -q = k - 10. What is the remainder when 26 is divided by q? 8 Let r(g) = 4 - 92*g**2 - 3 + 102*g**2. Suppose 0 = -2*s - 0*s + 12. What is the remainder when r(1) is divided by s? 5 Suppose v - 169 = -21*t + 16*t, -v = 2*t - 67. What is the remainder when t is divided by 9? 7 Let i be -8*(-3)/(-24)*6. Let v(h) = h**2 + 7*h + 9. Let p be v(i). Suppose p*y + 0*y - 147 = 0. What is the remainder when y is divided by 13? 10 Let j(d) = d**2 - d - 10. Let c(r) = -r**3 - r**2 - 2*r - 1. Let t be c(-1). Let q = t - -15. What is the remainder when j(9) is divided by q? 14 Let g(h) = -6*h - 35. What is the remainder when ((-12)/10)/((-30)/1000) is divided by g(-7)? 5 Let r = -650 + 791. What is the remainder when r is divided by 47? 0 Let t(v) be the second derivative of v**3/3 + 3*v**2/2 + 12*v. What is the remainder when t(7) is divided by 8? 1 Suppose 2*j + 3*n - 2170 = -184, -5*j + 2*n + 4927 = 0. What is the remainder when j is divided by 26? 25 Let x(m) = -4*m - 2. Suppose -2*l = -2*v - 29 - 17, -4*v - 96 = -2*l. Let y = v - -29. Calculate the remainder when x(-3) is divided by y. 2 Let x(a) = -16*a**2 - 49*a + 1. Calculate the remainder when 9 is divided by x(-3). 1 Suppose -2*x = -4*p + 34, 44 = 5*p + 3*x - 6*x. Suppose 1477*s = 1484*s - 231. What is the remainder when s is divided by p? 5 Suppose 5*l + 4*x - 26 = 2*l, -5*x = 4*l - 33. Calculate the remainder when (2/(-6))/((-140)/(-72) + -2) is divided by l. 0 Suppose -11*p = -4*p - 392. Calculate the remainder when 10 - (0 + 0 - 2) is divided by ((-16)/14)/((-16)/p). 0 Calculate the remainder when (22077/(-132))/(-2 - (-10)/8) is divided by 77. 69 Suppose -5*l = 98 - 1223. What is the remainder when l is divided by 76? 73 Let l = 125 + -95. What is the remainder when l is divided by 11? 8 Let x = 6 + -18. Let d = -8 - x. What is the remainder when 81 is divided by ((-6)/d)/((-2)/28)? 18 Let k = 6 + -2. Let g = -11 - k. Let q = g - -21. Calculate the remainder when 8 is divided by q. 2 What is the remainder when 210 is divided by -17 + 121 - -1*(3 + -2)? 0 Calculate the remainder when 35 is divided by ((-38)/(-361) + 566/38)/1. 5 Suppose -4*a + 3*a + 7 = 0. Calculate the remainder when 37 is divided by a. 2 Let f = -27 - -30. Suppose 38 = 2*j - f*c - c, -3*c + 4 = j. Calculate the remainder when j is divided by 4. 1 Let n = 3812 + -1321. Calculate the remainder when n is divided by 86. 83 Suppose -2*n - 39 + 59 = 0. What is the remainder when 14 is divided by n? 4 Let f(g) = -g**2 + 57*g - 528. What is the remainder when f(26) is divided by 26? 18 Let p = -59 + 102. Suppose 23 = 2*n + j, -5*j = 2*n - 0*j - 19. Calculate the remainder when p is divided by ((-928)/(-20))/4 + n/(-20). 10 Let m = 41 - 21. Suppose -m*k + 594 = 2*k. Suppose 5*y - 70 = -0*y. Calculate the remainder when k is divided by y. 13 Let m = -212 - -223. Calculate the remainder when 64 is divided by m. 9 What is the remainder when (-9)/((-90)/596)*5 is divided by 50? 48 Let u(t) = 11*t - 1. Let w = -11359 - -11372. What is the remainder when u(2) is divided by w? 8 What is the remainder when ((-15)/30)/(1/(-104)) is divided by 18? 16 Let u be (-5)/15 + (-4)/18*-15. Suppose -a - 2*a - 3*b + 102 = 0, -u*a - 2*b + 104 = 0. Calculate the remainder when a is divided by 20. 16 Let f = 78 + -54. What is the remainder when 46 is divided by f? 22 Let o(n) = -6*n + 59. Let j be o(9). Suppose -j*y + 249 = 14. What is the remainder when y is divided by 17? 13 Suppose a + 740 = -12*a + 1117. Let d(y) = 2*y**3 - y**2 + 4*y. Calculate the remainder when d(3) is divided by a. 28 Suppose 3*u + 3 = 0, -5*i = 2*u - 586 + 13. Let x be 21/(i/25 - 4). Suppose 0 = -5*m + x. Calculate the remainder when 18 is divided by m. 4 Suppose 5*a = -5*o + 40, 0*o + o = -5*a. Suppose -g + 11 = -o. Calculate the remainder when g is divided by (-31)/(-5) - (-5)/(-25). 3 Let f(y) = -y + 26. What is the remainder when (-12)/4 - (-106)/2 is divided by f(0)? 24 Suppose 42*d = 39*d - 45. Let l(f) = 14*f + 4. Let z be l(-7). Calculate the remainder when z/(-6) - (-10)/d is divided by 4. 3 Let m(u) = 3*u - 12. Let g be m(11). Let h = g - 17. Suppose -3*q - 68 = -5*r, -9*r + 4*q = -h*r - 64. Calculate the remainder when 29 is divided by r. 13 Suppose 2*z + 58 = r, 0 = 4*z - z + 2*r + 94. Let b = z - -35. Calculate the remainder when b is divided by 3. 2 Let z = 76 - 87. What is the remainder when (z/3)/(13/(-429)) is divided by 43? 35 Suppose -o + 30 = 3*j, -j + 0 = 4*o + 1. What is the remainder when 43 is divided by (2*j)/(24/24)? 21 Let j(p) = 8*p**2 - 7*p + 14. Calculate the remainder when j(9) is divided by 15. 14 Let q = -43 - -49. Suppose 0 = -l + 2*l - 29. Calculate the remainder when l is divided by q. 5 Suppose 4*y = 0, -4*i - 42 = -5*y - 170. What is the remainder when 59 is divided by i? 27 Let x = 1350 - 1327. Calculate the remainder when 88 is divided by x. 19 Suppose -36 = 7*d - 120. Calculate the remainder when (-7)/(-21)*(-1)/((-1)/d) is divided by 1. 0 Let m(w) = 7*w - 10. Let k(c) = -6*c + 10. Let f(j) = 2*k(j) + 3*m(j). Let l be 3 + (-2 - (-2 - 0)). Calculate the remainder when 48 is divided by f(l). 14 Suppose -34*d = -587 - 331. What is the remainder when 42 is divided by d? 15 Suppose -25*z = -19*z - 168. Calculate the remainder when 49 is divided by z. 21 Let r(s) = 7*s**2 + 3*s - 107. Calculate the remainder when r(-9) is divided by 62. 61 Suppose -f = 2*f - 12. Calculate the remainder when (-8)/10 + (-178)/(-10) is divided by ((-6)/f)/(1/(-6)). 8 Calculate the remainder when 230 is divided by ((-135)/3*1)/((-3)/4). 50 Suppose 7*k - 4 = 5*k, -4*k = -3*q + 22. Suppose -5*u = 5*n + 5, n - 4*u - 4 = -n. What is the remainder when 2/(-4)*(-54 + n) is divided by q? 7 Suppose -89 = -7*w - 19. Calculate the remainder when 965/w - (-2)/4 is divided by 25. 22 Let q = -89 - -73. Let c(p) = -p - 9. Suppose 0 = -5*j - 2*u + 10, u = 2*j - 13. What is the remainder when c(q
{ "pile_set_name": "DM Mathematics" }
j (d) -2/7 c Let q = 0.0553 - 5.5653. Let t = -1.51 - q. Which is the fourth biggest value? (a) 1/7 (b) -1 (c) t (d) -2/13 b Let b be 2/(-4)*(-360)/1260. Let u = 27 + -31.2. Let a = -0.2 - u. What is the third smallest value in a, b, -1/8, 5? a Let h(x) = 30*x - 1292. Let l be h(43). Which is the biggest value? (a) -2.8 (b) -3 (c) l (d) -7/4 d Let l(h) = -199*h - 202. Let n be l(-1). Which is the third biggest value? (a) 39 (b) -3/8 (c) n (d) 7/3 b Let h = -2.916 - -2.516. Which is the smallest value? (a) 2/13 (b) -8 (c) h b Let h be 1083/4*98/(-105). Let v = -253 - h. Which is the smallest value? (a) 3/4 (b) v (c) 0.4 b Let t = 6.4 + -5. Suppose -4*s - 6 = -7*s. Suppose -n + 1 = 0, 0*j = -j - 3*n - s. What is the fourth biggest value in t, j, 2, 3? j Let q = 1.436 - -0.134. Let l = q + -1.27. Which is the second smallest value? (a) 1 (b) l (c) -1 (d) -3/11 d Let c = -3 + 7. Let o be (65/15 - 5)*(-375)/(-225). What is the second smallest value in o, c, -4? o Let l be (-1 - 7/(-2))*(-400)/(-125). Suppose 5*q - 8 = 3*v - 0, -l = -v - q. What is the third smallest value in -0.3, v, 0.2? v Let f = -204.77 - -5.77. Let g = 199.1 + f. What is the fourth smallest value in g, -4/5, -0.5, 4? 4 Let x = 80.47 + -80.57. What is the third biggest value in -14, 0, x, 4? x Let t be (-2600)/(-660)*27/2. Let f = -53 + t. Let r = 0.09 + 0.21. What is the third smallest value in f, r, -6, 4? r Let j be (((-84)/(-4))/(1980/24))/(-2). Which is the third biggest value? (a) -2/9 (b) j (c) -5 (d) 0 a Let n be (-6)/8 + 405/1404. Let m = 28 - 28.5. What is the second biggest value in -0.4, -0.2, m, n? -0.4 Suppose 14*o = 6*o - 32. Let w be (o/1)/4 - (-2)/1. Which is the fourth biggest value? (a) 0.3 (b) -0.2 (c) w (d) -1 d Let h = 2.3 + -2. Let u(m) = -m + 16. Suppose 7*f = -22 + 99. Let l be u(f). Which is the biggest value? (a) -3 (b) h (c) l c Let i = 1 - 6. Let x = 334648 + -1003946/3. What is the fourth biggest value in i, -1, 0.02, x? i Let v = -269147 - -269147. Let u = 0.02 + 0.28. Which is the third biggest value? (a) 11 (b) v (c) u b Let s = 0.2 - -2.8. Let z = -124 - -128. Suppose u - 7 = 3*q + 2, 0 = z*u - 12. What is the third smallest value in -3, q, s, -1? -1 Let w = 15694/9 - 1744. What is the second smallest value in 5/4, w, 250? 5/4 Let l = -92.9 + 92.393. Let m = l + 0.007. Let n = -0.03 - 3.97. Which is the second biggest value? (a) 0.1 (b) n (c) m (d) 3 a Let v = 6 + -11. Let t be (4/22)/((-6232)/(-102828)). Which is the second smallest value? (a) v (b) t (c) 19 (d) 0 d Suppose -5*i - 68 = 2*r, -i - 2*r + 40 = -5*i. Let q be ((-27)/(-15) - -1)/(i/(-50)). Let v = q - 11. Which is the third biggest value? (a) v (b) -1 (c) 0.4 b Let q = 13088/5 - 2618. Let x = 10 + -9.72. Let j = -0.02 - x. Which is the second biggest value? (a) q (b) -2.5 (c) j a Let s = 57 - 60. Let f = -24 - -29. Suppose -f*t - 32 = -27. Which is the biggest value? (a) t (b) s (c) -3/2 a Let j = -15/2 + 7. Let n be (-304)/(-36)*1/4. Let u = 16/9 - n. Which is the second smallest value? (a) 1.2 (b) j (c) u c Let x = 9714 - 9626. Which is the second biggest value? (a) -8 (b) -2 (c) -3 (d) x b Let x = -797 + 928. What is the biggest value in -2/5, 2, x? x Let x(j) = -3*j**2 + 302*j + 721. Let z be x(103). What is the smallest value in -0.5, z, 943? -0.5 Let o = 196.5 - 179. Let m = -17 + o. Which is the smallest value? (a) 0.1 (b) m (c) -19 c Let l = -314.696 + 0.696. Let p = l + 318. What is the second smallest value in 0.06, -1, p, -0.5? -0.5 Let y = -358 + 165. Let k = -190 - y. What is the second biggest value in k, -3, -5? -3 Let k = 0.03494 + 32.96506. Let i = -39 - -7. Let f = k + i. What is the second smallest value in f, 2/19, -21? 2/19 Let g = 2424 - 2424.542. Which is the second biggest value? (a) g (b) 2/3 (c) -5 a Let f = 1094.6 + -1095.2. Which is the fourth biggest value? (a) -3 (b) 0.3 (c) f (d) -0.57 (e) 0.5 c Let k = -248 + 248. Suppose k = t + 3*l + 54 - 57, -t = -4*l - 31. Which is the smallest value? (a) -5 (b) t (c) -1 a Let t = -279 + 288. Suppose 6*n + t = -3. What is the third biggest value in -0.2, n, -52? -52 Suppose -228*o + 194*o - 102 = 0. Let i = -2/485 - -1004/8245. What is the third biggest value in 3/5, i, o, 1/3? i Let p = 15811.5 - 15812. What is the fourth biggest value in -11, -3, 3, 2, p? -3 Let k = -29 - -24. Let z = 167 + -327. Let p = -159 - z. What is the second smallest value in 0.2, p, 3, k? 0.2 Let d = 105.46 - -0.04. Let q = -104.808 - 0.192. Let u = q + d. Which is the biggest value? (a) 3/4 (b) u (c) 4 c Let a = -0.2209 + 11.3209. Let i be 20/16 + 1 + -3. What is the third smallest value in i, 5, a? a Let k = -0.14 + 0.14. Let d = -14 - k. Suppose 2*p = -5*b + 25 - 2, -15 = -5*b. What is the fourth smallest value in 0.3, d, p, -3? p Let u be (6 + -9)*(-12)/(-531). Let f = -75/236 - u. Which is the smallest value? (a) 0.6 (b) f (c) 0.1 (d) 2/3 b Let v(s) = -276 - 3*s + 138 + 122. Let k be v(-5). Let q = 14 - 20. Which is the third smallest value? (a) k (b) -5 (c) 4 (d) q a Let i = 7751 + -7751.4. Which is the fourth smallest value? (a) i (b) 0 (c) -5/2 (d) -3/4 b Let l = 0.976 + -5.976. Let q = -52 - -48. Which is the third smallest value? (a) l (b) 3 (c) q (d) -2/13 d Suppose 0 = 212*s - 162*s + 266 - 16. Which is the fourth biggest value? (a) 1/2 (b) s (c) -1.05 (d) 0.09 (e) 2/7 c Let o = -5777 - -5774. What is the biggest value in -5.6, 21, 3, o? 21 Let x = 8.09 + -8. Let p = -5.0011 + 0.0011. What is the second smallest value in 0.3, -0.5, x, p? -0.5 Let z be 19*-1*1868/(-17746). Which is the second smallest value? (a) z (b) 0.11 (c) 75 (d) -1/6 b Let s be (4 - 11) + (66/(-16) - -12). Which is the third biggest value? (a) -5 (b) s (c) 0.36 a Suppose -3231 - 2489 = 4*g + s, 0 = 2*s. Let p be 20/(-130) + (-142)/g. Let x = -119/165 - p. What is the second smallest value in x, 2/3, 1? 2/3 Let u = 0.31 - 0.01. Let w = 738.1 - 738. Which is the smallest value? (a) -0.07 (b) w (c) u (d) -4 d Suppose 0 = -87*x + 107*x - 80. Which is the biggest value? (a) -0.98 (b) x (c) 4/3 (d) -1 (e) 4/5 b Let r be 5/(-2)*1 - (273/(-14) - -19). What is the smallest value in r, -0.7, 29.3? r Let x(y) = -y**2 + 9*y - 8. Let s be x(9). Let v be 5/((-10)/s)*-1. Let u = 213 - 214. Which is the smallest value? (a) 0.2 (b) v (c) u (d) -9 d Suppose 7*u - 3*u = 3*i + 28, -5*i - 3*u = -21. Let z = -78.2 - -78. Let k = 27.4 + -30. Which is the second biggest value? (a) i (b) 1 (c) k (d) z a Let o = -3646 + 3616. Which is the third biggest value? (a) 1 (b) o (c) 5 b Let f(c) = -7*c**2 + 207*c + 309. Let r be f(31). What is the second smallest value in -2/75, -0.2, r, 5/4? -0.2 Let j = -248 - -296.4. Let x = j + -48.9. Which is the third smallest value? (a) 0.3 (b) x (c) -4/3 a Let p = -21/82 + -17/574. Let l(t) = 3*t**3 - t**2 + 1. Let s be l(-1). Which is the smallest value? (a) s (b) 0.09 (c) p a Let f = -119/12 - -247/24. Let r = -494 - -496. What is the biggest value in r, -5/4, f, 13? 13 Let r = 25254/31555 - 2/6311. Which is the biggest value? (a) 0.02 (b) r (c) -1 (d) -14/31 b Let u = 2 - -1. Suppose 6*p = 4*p + 4. Let y be -6 + p + 10 + -1. What is the third biggest value in 6/11, y, u? 6/11 Let m = -1 - -0.6. Let x = -32087/9 - -3565. Which is the fourth smallest value? (a) 0.02 (b) x (c) -2/11 (d) m a Let a = -5737/13223 - -10/1889. What is the fourth smallest value in -1, 0.13, a, 1, -5/4? 0.13 Let f = 23474 + -23470. What is the smallest value in -29, f, -2/21? -29 Let v = -794 + 793.8. Let g = 243 + -728/3. What is the third biggest value in g, v, 9? v Let u = 10.639 + -10.339. What is the third biggest value in -2/7, 0.005, u, -0.5, -1/3? -2/7 Suppose 183*c - 184*c = 2*d - 7, 10 = 5*d + c. What is the fifth smallest value in -0.02, -3, 0.4, -0.09, d? d Let p be 180/162*9 + 108/(-10). What is the fourth biggest value in 0.1, -1/6, 1, -1562, p? p Let y = -32 - -23. Let s = -44708 + 44704. What is the third biggest value in y, -2, s, 0.1? s Let l = 0.86 - 6.86. Let h = 5.98 + l. What is the smallest value in 6/11, -0.3, h? -0.3 Let w = 135.9 + -136. What is the third biggest value in -3, w, 0.1, 1/5, 27? 0.1 Suppo
{ "pile_set_name": "DM Mathematics" }
ided by 104. 101 What is the remainder when 657 is divided by 28? 13 Calculate the remainder when 768 is divided by 189. 12 Calculate the remainder when 32329 is divided by 359. 19 Calculate the remainder when 7464 is divided by 267. 255 What is the remainder when 14104 is divided by 2514? 1534 Calculate the remainder when 13376 is divided by 672. 608 Calculate the remainder when 7790 is divided by 84. 62 Calculate the remainder when 30751 is divided by 7667. 83 What is the remainder when 3026 is divided by 62? 50 What is the remainder when 1416 is divided by 16? 8 Calculate the remainder when 4048 is divided by 1313. 109 What is the remainder when 5903 is divided by 60? 23 What is the remainder when 478138 is divided by 130? 128 What is the remainder when 871 is divided by 279? 34 What is the remainder when 99659 is divided by 99? 65 Calculate the remainder when 77354 is divided by 81. 80 Calculate the remainder when 64099 is divided by 200. 99 What is the remainder when 200942 is divided by 360? 62 Calculate the remainder when 2296 is divided by 458. 6 What is the remainder when 4330 is divided by 846? 100 What is the remainder when 12250 is divided by 73? 59 What is the remainder when 3329 is divided by 555? 554 Calculate the remainder when 345419 is divided by 1025. 1019 Calculate the remainder when 4841 is divided by 4798. 43 What is the remainder when 150044 is divided by 282? 20 What is the remainder when 63450 is divided by 42? 30 Calculate the remainder when 44560 is divided by 22252. 56 Calculate the remainder when 4821 is divided by 790. 81 What is the remainder when 5340 is divided by 5269? 71 Calculate the remainder when 34804 is divided by 1582. 0 What is the remainder when 6487 is divided by 2966? 555 What is the remainder when 7764 is divided by 114? 12 What is the remainder when 25919 is divided by 91? 75 Calculate the remainder when 65867 is divided by 184. 179 Calculate the remainder when 4362 is divided by 422. 142 Calculate the remainder when 243633 is divided by 706. 63 Calculate the remainder when 4395 is divided by 64. 43 Calculate the remainder when 155072 is divided by 15506. 12 What is the remainder when 10418 is divided by 11? 1 Calculate the remainder when 478589 is divided by 159519. 32 What is the remainder when 203802 is divided by 29113? 11 What is the remainder when 36854 is divided by 380? 374 Calculate the remainder when 100001 is divided by 108. 101 What is the remainder when 70925 is divided by 5? 0 Calculate the remainder when 275879 is divided by 10. 9 What is the remainder when 1241 is divided by 99? 53 What is the remainder when 37509 is divided by 337? 102 Calculate the remainder when 24183 is divided by 4758. 393 Calculate the remainder when 796813 is divided by 6. 1 Calculate the remainder when 32204 is divided by 13. 3 Calculate the remainder when 69404 is divided by 30. 14 What is the remainder when 32839 is divided by 56? 23 Calculate the remainder when 10309 is divided by 264. 13 What is the remainder when 7187 is divided by 3? 2 What is the remainder when 101785 is divided by 13? 8 Calculate the remainder when 147164 is divided by 31. 7 What is the remainder when 18954 is divided by 81? 0 What is the remainder when 320 is divided by 137? 46 Calculate the remainder when 6398 is divided by 50. 48 Calculate the remainder when 31938 is divided by 10646. 0 Calculate the remainder when 148009 is divided by 73999. 11 What is the remainder when 1015144 is divided by 29? 28 Calculate the remainder when 205973 is divided by 306. 35 Calculate the remainder when 9247 is divided by 30. 7 What is the remainder when 4581794 is divided by 141? 140 What is the remainder when 2514 is divided by 499? 19 Calculate the remainder when 208042 is divided by 1078. 1066 Calculate the remainder when 5737 is divided by 143. 17 Calculate the remainder when 3961 is divided by 1486. 989 What is the remainder when 359333 is divided by 296? 285 What is the remainder when 37853 is divided by 7558? 63 What is the remainder when 5735 is divided by 312? 119 What is the remainder when 212665 is divided by 544? 505 Calculate the remainder when 64570 is divided by 12909. 25 Calculate the remainder when 10450 is divided by 649. 66 What is the remainder when 8940642 is divided by 315? 312 What is the remainder when 25797 is divided by 168? 93 What is the remainder when 1252522 is divided by 197? 193 What is the remainder when 65681 is divided by 1822? 89 Calculate the remainder when 1220 is divided by 842. 378 What is the remainder when 507996 is divided by 500? 496 What is the remainder when 463460 is divided by 115? 10 Calculate the remainder when 1190 is divided by 345. 155 Calculate the remainder when 6653 is divided by 814. 141 Calculate the remainder when 50892 is divided by 3. 0 Calculate the remainder when 74457 is divided by 17. 14 Calculate the remainder when 32813 is divided by 1241. 547 Calculate the remainder when 8795 is divided by 808. 715 Calculate the remainder when 15087 is divided by 2978. 197 What is the remainder when 40169 is divided by 4? 1 Calculate the remainder when 16125 is divided by 74. 67 What is the remainder when 748896 is divided by 100? 96 What is the remainder when 241496 is divided by 16? 8 What is the remainder when 157032 is divided by 142? 122 What is the remainder when 2312 is divided by 757? 41 Calculate the remainder when 12414 is divided by 544. 446 What is the remainder when 8091 is divided by 134? 51 What is the remainder when 4631722 is divided by 25? 22 What is the remainder when 448042 is divided by 31? 30 Calculate the remainder when 276522 is divided by 336. 330 Calculate the remainder when 1982 is divided by 201. 173 Calculate the remainder when 68803 is divided by 217. 14 Calculate the remainder when 58410 is divided by 68. 66 Calculate the remainder when 58232 is divided by 2530. 42 What is the remainder when 60707 is divided by 8668? 31 What is the remainder when 43623 is divided by 436? 23 What is the remainder when 1397 is divided by 100? 97 Calculate the remainder when 2842893 is divided by 37. 35 Calculate the remainder when 19336 is divided by 9636. 64 Calculate the remainder when 45360 is divided by 116. 4 Calculate the remainder when 241034 is divided by 1062. 1022 What is the remainder when 15905 is divided by 139? 59 Calculate the remainder when 5455 is divided by 300. 55 Calculate the remainder when 50744 is divided by 12656. 120 Calculate the remainder when 14374 is divided by 689. 594 What is the remainder when 2004 is divided by 155? 144 Calculate the remainder when 167426 is divided by 31. 26 What is the remainder when 73355 is divided by 3056? 11 What is the remainder when 138059 is divided by 20? 19 Calculate the remainder when 17334 is divided by 241. 223 Calculate the remainder when 18830 is divided by 940. 30 What is the remainder when 16668 is divided by 32? 28 Calculate the remainder when 39855 is divided by 9895. 275 Calculate the remainder when 1435772 is divided by 11. 8 Calculate the remainder when 11326 is divided by 47. 46 What is the remainder when 2806 is divided by 1393? 20 Calculate the remainder when 7212 is divided by 58. 20 What is the remainder when 24833 is divided by 401? 372 Calculate the remainder when 160068 is divided by 91. 90 What is the remainder when 57920 is divided by 175? 170 What is the remainder when 4127 is divided by 281? 193 What is the remainder when 2248 is divided by 111? 28 What is the remainder when 3286 is divided by 164? 6 What is the remainder when 3767 is divided by 1465? 837 Calculate the remainder when 6135 is divided by 62. 59 What is the remainder when 2977 is divided by 303? 250 Calculate the remainder when 1001 is divided by 193. 36 Calculate the remainder when 1855 is divided by 914. 27 Calculate the remainder when 5925 is divided by 26. 23 What is the remainder when 36827 is divided by 38? 5 What is the remainder when 149827 is divided by 29965? 2 What is the remainder when 26505 is divided by 99? 72 Calculate the remainder when 1329329 is divided by 219. 218 What is the remainder when 5149 is divided by 112? 109 Calculate the remainder when 48373 is divided by 417. 1 What is the remainder when 4980 is divide
{ "pile_set_name": "DM Mathematics" }
e in 0.74136um? 0.00074136 Convert 0.3706226l to millilitres. 370.6226 How many millimeters are there in three eighths of a meter? 375 How many milliseconds are there in 5/8 of a second? 625 What is 710.8264 micrometers in meters? 0.0007108264 What is 0.5786817mm in nanometers? 578681.7 How many millennia are there in 0.1401467 years? 0.0001401467 What is 1/10 of a microgram in nanograms? 100 Convert 2.873732 litres to millilitres. 2873.732 How many years are there in 40031.9 centuries? 4003190 What is 1/5 of a centimeter in millimeters? 2 What is 1/10 of a meter in centimeters? 10 How many days are there in 4172893.2ms? 0.048297375 What is eleven tenths of a century in years? 110 How many seconds are there in 1/30 of a week? 20160 What is 5/4 of a century in months? 1500 How many minutes are there in seven thirds of a hour? 140 Convert 16.852467 months to decades. 0.140437225 How many years are there in 9389.257 decades? 93892.57 How many millimeters are there in 586.953 micrometers? 0.586953 How many micrometers are there in 6/5 of a millimeter? 1200 How many months are there in 1/16 of a millennium? 750 What is 19/7 of a week in hours? 456 How many milliseconds are there in two fifteenths of a minute? 8000 How many milliseconds are there in 63.67352 days? 5501392128 What is 21/5 of a litre in millilitres? 4200 What is 1/6 of a millennium in months? 2000 What is fourty-nine fifths of a millennium in centuries? 98 How many centimeters are there in twenty-one fifths of a meter? 420 What is 3/5 of a century in decades? 6 How many millilitres are there in seventeen quarters of a litre? 4250 What is 5/4 of a year in months? 15 What is 3/25 of a microgram in nanograms? 120 How many months are there in 3/8 of a millennium? 4500 What is 2.78607 litres in millilitres? 2786.07 How many days are there in 3.809711 weeks? 26.667977 How many millilitres are there in 76/5 of a litre? 15200 What is 1/20 of a gram in milligrams? 50 What is 402984.81 minutes in days? 279.8505625 How many months are there in 7/4 of a year? 21 How many litres are there in 76465.96 millilitres? 76.46596 Convert 919.4818g to tonnes. 0.0009194818 What is 391592.25 minutes in weeks? 38.8484375 What is 49/5 of a milligram in micrograms? 9800 What is fourty-four fifths of a milligram in micrograms? 8800 Convert 19266165.9s to days. 222.98803125 Convert 642.49281 minutes to days. 0.4461755625 How many tonnes are there in 0.95542g? 0.00000095542 How many millilitres are there in five quarters of a litre? 1250 What is twenty-five halves of a microgram in nanograms? 12500 How many weeks are there in 999.07752 hours? 5.94689 How many millilitres are there in 3/8 of a litre? 375 How many millilitres are there in 5.79562l? 5795.62 How many months are there in 75.13755 centuries? 90165.06 What is 6/25 of a tonne in kilograms? 240 Convert 10.365468 months to centuries. 0.00863789 What is seven eighths of a millimeter in micrometers? 875 What is 61.76569 decades in months? 7411.8828 Convert 99.9064 days to hours. 2397.7536 How many millilitres are there in fifteen quarters of a litre? 3750 What is 88/5 of a meter in centimeters? 1760 How many months are there in twenty-one quarters of a decade? 630 What is fifty-one eighths of a litre in millilitres? 6375 How many kilograms are there in thirteen fifths of a tonne? 2600 How many litres are there in 54.19397 millilitres? 0.05419397 What is 75/4 of a microsecond in nanoseconds? 18750 What is 7/8 of a day in seconds? 75600 How many months are there in 313394.5 centuries? 376073400 What is 0.5106385 weeks in minutes? 5147.23608 What is 6/25 of a century in months? 288 How many millilitres are there in twenty-six fifths of a litre? 5200 What is seventeen halves of a microgram in nanograms? 8500 How many decades are there in 19/4 of a millennium? 475 How many millilitres are there in eleven quarters of a litre? 2750 How many months are there in 3/5 of a century? 720 What is 43/4 of a litre in millilitres? 10750 How many centimeters are there in three tenths of a meter? 30 Convert 1400484.3ms to minutes. 23.341405 How many micrograms are there in three tenths of a milligram? 300 How many decades are there in thirty-seven fifths of a millennium? 740 What is 3942.23ns in microseconds? 3.94223 How many minutes are there in 0.9793368 weeks? 9871.714944 What is thirteen quarters of a kilometer in meters? 3250 How many nanoseconds are there in twenty-seven fifths of a microsecond? 5400 How many months are there in seventeen quarters of a year? 51 How many millimeters are there in 460505.2 nanometers? 0.4605052 What is 19/4 of a gram in milligrams? 4750 How many nanometers are there in one fifth of a micrometer? 200 What is 203.3039mg in micrograms? 203303.9 What is seven quarters of a meter in centimeters? 175 What is two sevenths of a week in minutes? 2880 What is 73.37537 millennia in years? 73375.37 How many microseconds are there in 0.4452501 milliseconds? 445.2501 What is 21/5 of a litre in millilitres? 4200 How many micrometers are there in 41/2 of a millimeter? 20500 How many millilitres are there in seven quarters of a litre? 1750 How many micrometers are there in 88.7303 meters? 88730300 How many years are there in 58.74151 centuries? 5874.151 Convert 20635.464 months to decades. 171.9622 How many millilitres are there in 0.4688829l? 468.8829 How many milligrams are there in 96683.74g? 96683740 How many millilitres are there in 97960.01l? 97960010 How many months are there in three eighths of a millennium? 4500 How many seconds are there in 1/60 of a hour? 60 What is three tenths of a tonne in kilograms? 300 How many nanograms are there in 93.28273g? 93282730000 What is 0.4444118 milligrams in grams? 0.0004444118 Convert 12696.705 hours to weeks. 75.575625 What is 1/27 of a day in seconds? 3200 How many months are there in three fifths of a century? 720 What is 5/4 of a day in minutes? 1800 What is 34.940331us in hours? 0.0000000097056475 Convert 35.0527ml to litres. 0.0350527 What is fifteen quarters of a litre in millilitres? 3750 How many meters are there in 29/5 of a kilometer? 5800 How many millilitres are there in three eighths of a litre? 375 Convert 523551.6 micrometers to centimeters. 52.35516 What is 7/2 of a tonne in kilograms? 3500 Convert 375.6903 kilometers to nanometers. 375690300000000 How many millimeters are there in 0.130463nm? 0.000000130463 Convert 7935.9804 seconds to hours. 2.204439 What is twenty-seven fifths of a tonne in kilograms? 5400 What is one tenth of a centimeter in micrometers? 1000 How many hours are there in eleven quarters of a week? 462 What is 6.363886 millennia in months? 76366.632 What is 281091.21 months in years? 23424.2675 How many minutes are there in 10/21 of a week? 4800 How many micrograms are there in twenty-seven fifths of a milligram? 5400 How many millilitres are there in 26/5 of a litre? 5200 How many millilitres are there in 9/10 of a litre? 900 How many years are there in 87/2 of a century? 4350 How many millimeters are there in 3/40 of a kilometer? 75000 What is twenty-six fifths of a kilometer in meters? 5200 Convert 70015.34 nanometers to kilometers. 0.00000007001534 How many grams are there in 0.300988 kilograms? 300.988 What is 26215.9 weeks in microseconds? 15855376320000000 How many centimeters are there in five quarters of a meter? 125 What is 33096.3 decades in centuries? 3309.63 How many kilograms are there in 5937.825t? 5937825 What is 13/8 of a week in minutes? 16380 What is 2639.061 kilograms in tonnes? 2.639061 What is 54925.84t in micrograms? 54925840000000000 What is seven quarters of a meter in centimeters? 175 How many seconds are there in 1/27 of a day? 3200 How many milligrams are there in 3/40 of a kilogram? 75000 What is 3/10 of a litre in millilitres? 300 How many centimeters are there in 9693.415um? 0.9693415 How many millilitres are there in 3/25 of a litre? 120 How many micrometers are there in one quarter of a millimeter? 250 What is seventy-four thirds of a century in months? 29600 What is 2.364367 micrometers in kilometers? 0.000000002364367 How many litres are there in 1.174328ml? 0.001174328 How many micrometers are there in 7/2 of a millimeter? 3500 Convert
{ "pile_set_name": "DM Mathematics" }
29))/(z/(z*(z/((z*z*z**(5/8))/z))/z))*(((z/(z*z/(z**12/z)))/z)/z)/(z*z*z*z**(4/17)/z) assuming z is positive. z**(-3245/136) Simplify f**(-1/19)/(f*f/(f*f**(1/2)))*(f/(f/f**(-6)*f))**(-15/7) assuming f is positive. f**(549/38) Simplify ((m/m**(-1/24))/m**(1/7))/((m*m*m**(-1))/m**(-2/5)) assuming m is positive. m**(-421/840) Simplify ((h**(-2/5))**(-9/14))**(-30) assuming h is positive. h**(-54/7) Simplify (((r/(r**(-22)/r))/r)/r)/(r*r**(-6))*(r/(r*r*r**(-13)/r*r))**10 assuming r is positive. r**147 Simplify (i**(-17)/i**(16/3))/(i/(i/i**15)*i/i**(8/9)) assuming i is positive. i**(-337/9) Simplify (a*a**(-11/4)*a*a**(5/13))**(3/4) assuming a is positive. a**(-57/208) Simplify (n/(n/(n**(2/3)/n*n))*n)**(-14/5)*(n**(-5))**49 assuming n is positive. n**(-749/3) Simplify ((w*w/(w/(w**(2/11)/w))*w)**15/(w*w**(-1/6)*w*w*w*w)**(-3/23))**(1/9) assuming w is positive. w**(9289/4554) Simplify ((y**(-2/29)/y*y**8)/(y**1*(y**5*y*y)/y))**(-17) assuming y is positive. y**(34/29) Simplify (x*x**23)**(3/4)/(x**(-14/5))**(-27) assuming x is positive. x**(-288/5) Simplify (((x*x**(2/5))**(-38))**(2/117))**(-45) assuming x is positive. x**(532/13) Simplify ((f**0)**(-2/45)/(f**(5/3)/(f/(f*f*f*f**(-1/4)*f))))**(7/8) assuming f is positive. f**(-371/96) Simplify (q/(q*q**14*q*q))**(1/4)/((q/q**25*q)/(q**(-9/7)/q)) assuming q is positive. q**(117/7) Simplify (m/(((m/(m/m**(3/4)))/m)/m))**(-6/11)*(m**(-9))**(16/3) assuming m is positive. m**(-1083/22) Simplify (d*d*d/(d*d**(1/5)/d*d))**(-42)/((d*(d/((d*d*d**(1/4))/d))/d)/d)**(2/23) assuming d is positive. d**(-17363/230) Simplify (((i**(-13)*i)/(i/(i/(i**(-3)/i*i))))**(3/11))**(-2/129) assuming i is positive. i**(18/473) Simplify ((b**(3/2)/(b/((((b/(b**6*b))/b*b)/b)/b)))/(b**(-1)*b*b)**(-2/15))**(-11/5) assuming b is positive. b**(2431/150) Simplify ((z*z**6)/((z/z**(5/6))/z))/(z/(z**(-3)*z*z))**(-3/32) assuming z is positive. z**(385/48) Simplify ((j/(j*j**(-25)))/((j**(7/4)*j)/j*j))/((j/(j/(j*j**(9/4)/j*j)))/j*(j**(1/2)/j*j)/j) assuming j is positive. j**(41/2) Simplify (i*i/(i*i**(1/4))*i/i**(-4/11))/(i**20*i**(-2)) assuming i is positive. i**(-699/44) Simplify (d**0/d**(-11))/(d**(-3))**(-1/5) assuming d is positive. d**(52/5) Simplify (l**16/l*l*l)**(-6/31)/(((l*l**(-7/4))/l)/(l**(2/31)/l)) assuming l is positive. l**(-307/124) Simplify (g**7*g**2)/((g*g*(g**12/g)/g)/g**16) assuming g is positive. g**13 Simplify h**(-1)/h*h**(-1/11)*(h**3)**41 assuming h is positive. h**(1330/11) Simplify (l*l/l**9*l)/l**(1/12)*(l/(l*l/l**(-2)*l*l))**(2/157) assuming l is positive. l**(-11581/1884) Simplify (q**(3/5))**(-1)*((q/(q*q**(-2/15)))/q)**(2/23) assuming q is positive. q**(-233/345) Simplify (g*g/((g/(g*g**(2/5)*g))/g*g)*g**(-12))/(g**1)**(-1/11) assuming g is positive. g**(-468/55) Simplify (((d/(d*(((d*d**(-1/4))/d)/d)/d))/(d**7*d*d))/(d**(-1)/d*d**(-3)*d))**5 assuming d is positive. d**(-55/4) Simplify r**(6/19)/r**4*r**(-5/7)*r**(-2/3) assuming r is positive. r**(-2021/399) Simplify k**(-2/33)*k**(-3/2)*(k**(4/9))**3 assuming k is positive. k**(-5/22) Simplify ((g**(-3/7))**36)**(-3/17) assuming g is positive. g**(324/119) Simplify m**(4/3)*m**(2/15)*m*m*m**(-3/10)*m*m/m**(-2/51) assuming m is positive. m**(177/34) Simplify (v/v**(-18))/v**14*(v/(v**(-2/29)*v))**(-8) assuming v is positive. v**(129/29) Simplify ((w*w*w**(4/3)*w*w**(-2/27))/(w**(-6)/(w/(w/w**2*w))))**(-44) assuming w is positive. w**(-13376/27) Simplify (m/((m/((m**(-2)/m)/m))/m))**(-2/45)*(m**9*m)/m*m*((m**(1/3)*m)/m)/m assuming m is positive. m**(142/15) Simplify (d*d**(2/3))**(-4/5)*d/d**(-9)*d*d**7 assuming d is positive. d**(50/3) Simplify ((a**(4/3)/a*(a/(a/(a*(a**(-1/3)/a)/a*a)))/a)/(a*a**1)**(-33))**47 assuming a is positive. a**3055 Simplify g*g*g*g*g**(-2)*((g*(g*g*(g/(((g*g**(-22))/g)/g))/g*g)/g)/g)/g*(g**(-4))**47 assuming g is positive. g**(-162) Simplify s**(-2/19)/(s*s**(-2/3))*(s**(-20))**(-13) assuming s is positive. s**(14795/57) Simplify (j**(-3/2))**(-2/27)/((j*j**19)/(j*j**12)) assuming j is positive. j**(-62/9) Simplify (p**(2/85)*p*((p/(p**(-2/35)/p*p))/p)/p*p*p)/((p*p/((p**(-2/15)*p)/p)*p)/p**23) assuming p is positive. p**(39176/1785) Simplify ((f*((f/f**2)/f)/f)**(1/24))**(1/2) assuming f is positive. f**(-1/24) Simplify (i**(-2/37)/((i*((i/(i*i**2*i*i*i))/i*i)/i)/i))/(i**(-4)*i)**45 assuming i is positive. i**(5215/37) Simplify ((u*u*u**(-1/17)*u)/u)**21/(u*u**(-3))**(-30) assuming u is positive. u**(-327/17) Simplify ((a*a*a*a**(-11)/a*a*a)/a**(1/2))/(a**(-3))**(-10/7) assuming a is positive. a**(-165/14) Simplify c**(-2/17)/c**(1/3)*(c**(-5/2)*c)/(c*c**(-1/5)) assuming c is positive. c**(-1403/510) Simplify x/x**8*x/x**(-8/5)*(x*x/((x/(x**(-10)*x))/x)*x)/x**15 assuming x is positive. x**(-127/5) Simplify ((((v/v**(-20))/v)/v)/v)**(-15/4)/(v**(16/3)/(v/(v*v**(-5))*v)) assuming v is positive. v**(-401/6) Simplify ((((i/i**(3/4))/i)/(i**(-19)/i))**(2/27))**(-6/7) assuming i is positive. i**(-11/9) Simplify (n/n**2*n*n**0*n**(-10)/n**(2/29))**(-22/7) assuming n is positive. n**(6424/203) Simplify (h/h**(-22))**(14/3)/((h*h**(-39))/(h**31*h)) assuming h is positive. h**(532/3) Simplify (w*w**(-2/13))**(-1/3)*(w**2)**(4/9) assuming w is positive. w**(71/117) Simplify w/(w*w**(-1/3))*w*w*w**(-18)*w*w*w**(-18)*w*w**21 assuming w is positive. w**(-29/3) Simplify ((p**(-5/2)*p)/(p/(p**35*p)))**41 assuming p is positive. p**(2747/2) Simplify (o*o**6/o)**(4/7)*(o**(-4/3))**7 assuming o is positive. o**(-124/21) Simplify ((m**(-2/5))**(-2/81)/((m/(m*m*(m*m**(-2/45)*m)/m))/m**(-8)))**(-4/7) assuming m is positive. m**(9776/2835) Simplify ((p**(-1/9)*p*p*(p/((p*p*p**(-2/19)*p)/p))/p)/(p**(2/5))**(-19))**(-47) assuming p is positive. p**(-305171/855) Simplify (((a**(-1)*a)/a)/a**3*(a**2*a)**(-34))**9 assuming a is positive. a**(-954) Simplify m/(m/(m*m**(14/3)))*m**(3/35)*(m/m**(1/6))/((m**(3/13)*m)/m) assuming m is positive. m**(5783/910) Simplify (o*(o*o**(1/2))/o)**(16/11)/(o**(2/9)/o)**(3/2) assuming o is positive. o**(221/66) Simplify ((y*y**(5/11))/((y*y**(-18))/y))/(y/(y/(y*y**(-14/3))))**34 assuming y is positive. y**(4756/33) Simplify ((v*((v/(v*v**(-1)))/v)/v*v)**(-47)*v**4/v**(-1/4))**(-1/3) assuming v is positive. v**(57/4) Simplify (v**(4/7))**(-1/36)*v**(-2/33)*v*v*v/(v**24/v*v)*v*v assuming v is positive. v**(-13220/693) Simplify (u**(-9)*u*u**(2/27))/(u**16)**28 assuming u is positive. u**(-12310/27) Simplify ((o**(-10)*o)/(o/o**(-1/9)))/((o/(((o*o*(o**16*o)/o*o*o)/o*o*o)/o))/o**(-1/4)) assuming o is positive. o**(311/36) Simplify (((x*x**(-5))/(x*x**5*x))/(x/((x*x**(-4/9)/x)/x)*x*x/(x/((x*x**7*x*x)/x))))**(1/2) assuming x is positive. x**(-211/18) Simplify ((a/(a/a**17))/a**(-14))**(1/3) assuming a is positive. a**(31/3) Simplify (h**(-3)*h)**(-4/35)*(h/(h/((h**(-3/5)*h)/h))*h)**(1/55) assuming h is positive. h**(454/1925) Simplify (k/k**(-4)*k**11)/((k/k**(-1/3))/(k*k*k**(-1/21)/k)) assuming k is positive. k**(328/21) Simplify ((f/f**1*f**(1/13))/((f**(-5)*f)/f**(2/5)))**19 assuming f is positive. f**(5529/65) Simplify q**10*q/(q/(q/q**(-17)))*(q**21)**(1/43) assuming q is positive. q**(1225/43) Simplify ((w**(-2))**(-24)*(w/w**(-1))**(-38))**9 assuming w is positive. w**(-252) Simplify t/(t/((((t/((t*t**19)/t))/t)/t*t)/t))*t*((t**20*t)/t)/t*t*(t**21*t*t)/t*t*t**(-1)*t*t assuming t is positive. t**25 Simplify ((z/((z/(z**(-2/9)/z))/z))/(z*z*z**0)*(z**0/z)**(-8))**(-10) assuming z is positive. z**(-520/9) Simplify (f**(-2)*f*f**(2/11)*f*(f*f/((f**(1/5)/f)/f))**(1/4))**(-1/28) assuming f is positive. f**(-249/6160) Simplify (((i/i**(-1))/i**(4/3))**(-9))**38 assuming i is positive. i**(-228) Simplify (((u**3/u)**11)**(-2/63))**(-17) assuming u is positive. u**(748/63) Simplify (((n**(-1/8)*n)/(n**(-1/3)*n*n))/(n**2)**(-9/11))**(12/13) assuming n is positive. n**(223/286) Simplify (u/u**7)/((((u*u/u**9)/u*u)/u*u)/u)*u*u**4*u/u**(-2/15) assuming u is positive. u**(122/15) Simplify (a**1)**(8/9)/(a*a/(a*a**1))**(10/9) assuming a is positive. a**(8/9) Simplify (l**(1/2)*l**(-2/13)*l)/(l/(l/(l/(l**(-1/6)*l*l)))*l*l**(-3/7)/l*l) assuming l is positive. l**(439/273) Simplify (p**(-1/5)*p/(p/(p*p*p**(2/7)/p))*p)/((p*p/(p/((p/p**(-2/27))/p)))/p**(-5/8)) assuming p is positive. p**(2923/7560) Simplify (((((n/n**2)/n)/n)/n)/(n
{ "pile_set_name": "DM Mathematics" }
-6*m - 70. Determine h(v(t)). 195246*t - 70 Let z(k) = 74639369*k. Let u(y) = -2*y**2. Give z(u(s)). -149278738*s**2 Let o(n) = -53*n**2. Let w(y) = -2268*y - 9 + 4543*y - 2272*y - 2 - 4. Calculate o(w(t)). -477*t**2 + 4770*t - 11925 Let m(i) = i. Suppose 7*a = 11*a - 284. Suppose -13*g + 11*g = -6. Let s(o) = -3 + g - 73*o**2 + a*o**2. Determine s(m(c)). -2*c**2 Let w(x) = -13393804*x. Let r(b) = 3*b**2. Give r(w(f)). 538181956771248*f**2 Let h(l) = -1704373*l. Let y(k) = -14*k. Give h(y(s)). 23861222*s Let r(o) = 18*o. Let q(i) = -4*i**2 - 27*i + 42. What is r(q(z))? -72*z**2 - 486*z + 756 Let i(h) = -4*h**2 - 32*h - 47. Let q be i(-5). Let k(n) be the third derivative of 0*n + 0 + q*n**2 + 0*n**3 - 1/8*n**4. Let c(g) = 8*g**2. What is k(c(w))? -24*w**2 Let a(s) = -148414*s**2. Let r(w) = 3*w + 74. Determine r(a(b)). -445242*b**2 + 74 Let b(u) = -3624*u + 657 - 657 + 3579*u. Let c(v) = 95*v. Determine b(c(d)). -4275*d Let o(s) = s**2 - 7*s - 16. Let a be o(9). Let p(f) = 6*f**a - 2*f**2 - 6*f**2. Let k(g) = -35*g**2. Calculate k(p(x)). -140*x**4 Let f(p) = -p. Let y(h) = -5547*h**2 - 314*h + 3. Give f(y(v)). 5547*v**2 + 314*v - 3 Let l(k) = -1315*k - 813*k + 3879*k - 1129*k. Let x(v) = 3*v. What is x(l(o))? 1866*o Let s = -102 + 150. Suppose -4*u = -0*u - s. Let g(a) = a**2 + 2*a**2 + 7*a**2 - u*a**2. Let n(r) = -14*r**2. Determine g(n(f)). -392*f**4 Let k(q) = -q. Let l = 112 - 75. Let n = 45 - l. Let j(m) = -12 - n*m + 9 + 4. Determine j(k(i)). 8*i + 1 Let b = 70 - 68. Let r(s) = -b*s + 0*s - s + s. Let g(j) = -3*j + j - 6*j. Give r(g(u)). 16*u Let t(s) = 633*s**2 - 6*s - 6. Let k(h) = 27*h. Give t(k(o)). 461457*o**2 - 162*o - 6 Let j = 303 - 304. Let i(q) = -33*q + 12. Let a(t) = 3*t - 2. Let w(z) = j*i(z) - 6*a(z). Let o(m) = m**2. Give w(o(x)). 15*x**2 Let m(z) = 11*z + 9. Let x(l) = -6*l - 9. Let a(c) = c. Let j(w) = 4*a(w) - x(w). Let o(d) = 6*j(d) - 5*m(d). Let n(y) = 2*y. Give n(o(k)). 10*k + 18 Let s(c) = -213*c**2 + 1769*c + 3. Let l(w) = 43*w**2 - w - 1. Let f(y) = 5*l(y) + s(y). Let a(v) = -2*v. Give a(f(n)). -4*n**2 - 3528*n + 4 Let n(k) = -5*k. Let f(s) = 19*s + 5. Let i(r) be the second derivative of -2*r**3/3 - r**2/2 + r - 17. Let l(u) = -4*f(u) - 20*i(u). Determine l(n(x)). -20*x Let v(k) = 461*k**2 - 1395*k**2 + 467*k**2 + 462*k**2. Let a(y) = -3*y + 222. What is a(v(j))? 15*j**2 + 222 Let f(m) = 34*m**2 + m. Let v(w) = 304377 - 2*w - 608794 + 304397. Determine v(f(s)). -68*s**2 - 2*s - 20 Let v(z) be the second derivative of z**4/12 - z. Let i(d) = 220*d + 171*d - 82 + 41*d - 430*d. Give i(v(u)). 2*u**2 - 82 Let z(p) = 11*p**2. Let b(w) = 17725 - 43*w**2 - 17725 - 3*w - 38*w**2. Determine b(z(o)). -9801*o**4 - 33*o**2 Let a(o) be the second derivative of -o**3/6 - o. Let x be -1*1*-1*1/1. Let i(d) = 13*d + x - 1 - 11*d - 11*d. What is a(i(j))? 9*j Let w(r) = 23*r - 84*r + 8*r + 19*r + 10*r. Let h(d) = 16*d**2. Give h(w(f)). 9216*f**2 Let c be 9/(-6)*(-208)/24. Let b(k) = 6*k**2 - c*k**2 + 8*k**2. Let o(h) = 4*h. Let m(l) = -4*l. Let u(t) = 5*m(t) + 6*o(t). What is b(u(x))? 16*x**2 Suppose 2*m = -4*r, -r - 3*m - 10 = -0*m. Let w(d) = 4*d**2 + 2*d**r + 6*d**2 - 10*d**2. Let u(a) = 103*a. Determine w(u(z)). 21218*z**2 Let n(r) = 4*r**2 - 99017. Let u(h) = -9*h + 1. Determine n(u(z)). 324*z**2 - 72*z - 99013 Let b(r) = 20*r + 10. Let q(u) = 1. Suppose -5*s = -4*l + 14, -5*s = -3*s + 4. Let m(j) = l*b(j) - 10*q(j). Let g(c) = 2*c**2. Give m(g(p)). 40*p**2 Let k(t) = 13245*t**2 + 634*t. Let z(g) = -g. Determine k(z(h)). 13245*h**2 - 634*h Let n(s) = s**2 + 4*s - 11. Let t be n(-11). Let w = -64 + t. Let f(o) = -8*o**2 - 6*o**w - 7*o**2. Let x(d) = -4*d. What is x(f(b))? 84*b**2 Let i(r) = 197236249*r. Let z(p) = -p**2. What is i(z(v))? -197236249*v**2 Let h(v) = 108*v**2. Let y = 68 - 61. Let c(k) = 0*k - 7*k + y*k - 2*k. Calculate h(c(a)). 432*a**2 Let i(g) = g**2 + 219*g + 3. Let v(k) = 146*k + 71*k - 216*k. Calculate v(i(y)). y**2 + 219*y + 3 Let p(b) = b - 23. Let f(v) = 4*v**2 - 9*v + 6. Let y(w) = 44*w**2 - 96*w + 64. Let x(t) = -32*f(t) + 3*y(t). Give p(x(k)). 4*k**2 - 23 Let x(w) = -w**2. Let v(n) = n**3 + 3*n**2 + 6*n + 11. Let s be v(-2). Let b(f) = 0 - 58*f**2 + s + 68*f**2. Determine b(x(q)). 10*q**4 + 3 Let s(v) = 4*v + 4309770. Let z(d) = 2*d. What is s(z(h))? 8*h + 4309770 Let f(w) be the third derivative of -w**5/10 + 2*w**2 + 4*w. Let z(m) be the third derivative of 13*m**4/12 - 3*m**2 + 20. Determine f(z(o)). -4056*o**2 Let c(p) = 60466792*p**2 + p. Let b(r) = -2*r**2. What is c(b(s))? 241867168*s**4 - 2*s**2 Let u(d) be the third derivative of -d**5/60 - d**3 - 4*d**2 - 3*d. Let k(y) = y**2 + 7. Let l(m) = -6*k(m) - 7*u(m). Let w(i) = -25*i**2. What is l(w(z))? 625*z**4 Let i(z) = -17*z - 1. Let t(n) = -11*n**2 - 1122180 + 1122180. Calculate t(i(y)). -3179*y**2 - 374*y - 11 Let n(z) be the third derivative of z**4/2 + 2*z**3 + 5*z**2 - 68*z. Let x(j) = 9*j. Calculate x(n(u)). 108*u + 108 Let p(f) = 297*f - 18. Let v(y) = -134*y + 8. Let r(b) = -4*p(b) - 9*v(b). Let m(z) = -z**2 + 265. What is m(r(d))? -324*d**2 + 265 Let u(b) = -212*b. Let n(o) be the third derivative of o**5/30 - o**3 + 12*o**2. Let f(i) = -2*i**2 + 8. Let l(g) = 3*f(g) + 4*n(g). Give u(l(h)). -424*h**2 Let g(z) = 4*z**2. Let k(a) be the second derivative of a**3/6 - 27*a**2/2 + 2*a + 238. Determine g(k(u)). 4*u**2 - 216*u + 2916 Let f(g) = 639*g**2. Let i(q) be the third derivative of -q**5/60 + 7*q**2 - 101. What is f(i(y))? 639*y**4 Let v(y) be the second derivative of -y**4/4 - y + 1. Suppose 2*w + 12 = 5*r, -r + 4*w = 3*r - 12. Let m(l) = -29 - l**r + 29. Calculate m(v(u)). -9*u**4 Let i(x) = 2*x**2 + 18*x. Let a(o) = -o**2 - 6*o. Let y(t) = 6*a(t) + 2*i(t). Let h(d) be the second derivative of d**3/2 - 3*d. Give y(h(p)). -18*p**2 Let g(m) = 2*m - 10. Let x(f) = 156*f - 51. Let q(p) = 3*p - 1. Let i(l) = 153*q(l) - 3*x(l). What is i(g(d))? -18*d + 90 Let i(v) = -2*v**2 + 7. Suppose -5*r + 40 = 4*x + x, -4*x - 2*r + 34 = 0. Let n(a) = -x*a**2 + 9*a**2 + 2*a**2. Calculate n(i(f)). 8*f**4 - 56*f**2 + 98 Let v(l) = 853*l**2 + 8*l + 4. Let s(z) = 181689*z**2 + 1706*z + 853. Let b(i) = 4*s(i) - 853*v(i). Let d(u) = -u**2. Give b(d(m)). -853*m**4 Let o(c) = -c. Let j(f) = -158 - 2*f + 7*f + 163 + 6*f**2. Let b(g) = 2*g**2 + 3*g + 3. Let t(m) = 5*b(m) - 3*j(m). Calculate o(t(r)). 8*r**2 Let t(z) be the first derivative of -77*z**3/3 + 4. Let b(c) be the third derivative of -c**5/30 + 524*c**2. Calculate t(b(h)). -308*h**4 Let s(p) = 13*p + 117. Let x(y) = -2*y - 15. Let o(t) = -5*s(t) - 39*x(t). Let r(v) be the first derivative of 11*v**2/2 - 56. Determine r(o(g)). 143*g Let s(q) = 2*q - 60. Let k be s(30). Let d(c) be the second derivative of k*c**2 - 17*c + 1/4*c**4 + 0 + 0*c**3. Let z(n) = 2*n**2. What is z(d(r))? 18*r**4 Let a(o) = -o**2. Let n(v) = -3*v**2 - 554*v - 2389. Give n(a(w)). -3*w**4 + 554*w**2 - 2389 Let s(l) = -5*l - 2. Let i(r) = 73166 - 73166 + 5*r - 4*r. What is i(s(v))? -5*v - 2 Let i(c) = 4*c + 1475. Let l(a) = -194*a + 42. Let d(p) = 37*p - 8. Let j(b) = -21*d(b) - 4*l(b). What is j(i(g))? -4*g - 1475 Let g(u) be the first derivative of 29*u**5/30 + u**2/2 - 45*u + 150. Let x(j) be the second derivative of g(j). Let i(o) = -o**2. Give i(x(w)). -3364*w**4 Let w(m) be the second derivative of 15/2*m**3 - m**2 + 0 - 3*m. Let h(l) be the third derivative of l**5/60 + 1318*l**2. What is w(h(i))? 45*i**2 - 2 Let o(l) = 14*l**2 + 35*l + 20. Let v(i) = i**2 + 7*i + 4. Let u(n) = -o(n) + 5*v(n). Let d(y) = -y + 81. Give u(d(c)). -9*c**2 + 1458*c - 59049 Let f(i) be the first derivative of 1383*i**3 + 1128. Let n(p) = 2*p. Calculate n(f(l)). 8298*l**2 Let o(u) be the first derivative of 4*u**3/3 - 419. Let i(m) = -m + 13. Let s be i(9). Let j(n) = -s*n + n + n. Give j(o(f)). -8*f**2 Let q(v) = -15*v. Suppose 4 = 4*m - a, -2*m + 20 = 5*a - 4. Let j(y) be the second derivative of -17*y + 0*y**m + 0 - 1/6*y**3. What is q(j(k))? 15*k Let k(q) = -2*q. Suppose -a - 3*p = -18, 0*p = 5*p. Suppose a = u + 16. Let d(j) = 9 - 4 - 2 - 5*j**u. Give d(k(i)). -20*i**2 + 3 Let v(b) = 2*b. Let u = 17 + -12. Suppose -1 - 156 = -3*t + 2*l, 5*l - 270 = -u*t. Let z(x) = 108*x**2 - t*x**2 - 50*x**2. Give v(z(w)). 10*w**2 Let c(o) = -o**2 + o - 3.
{ "pile_set_name": "DM Mathematics" }
0 What is 0.000455432 rounded to five decimal places? 0.00046 Round 294927.4 to the nearest 1000. 295000 What is -1628738.3 rounded to the nearest 100? -1628700 Round -0.000722718 to 4 decimal places. -0.0007 What is 0.19685 rounded to three decimal places? 0.197 Round 56803 to the nearest 1000. 57000 Round 0.00002801355 to seven dps. 0.000028 What is -19.546798 rounded to the nearest integer? -20 What is 4690.157 rounded to the nearest 100? 4700 What is 125.393 rounded to the nearest 10? 130 What is 0.0028087279 rounded to five decimal places? 0.00281 Round 0.001573996 to 6 dps. 0.001574 Round -0.0004083901 to five dps. -0.00041 What is 128.344 rounded to 0 dps? 128 What is 0.0001207612 rounded to six dps? 0.000121 What is 0.006146018 rounded to 5 decimal places? 0.00615 Round 0.000008879864 to seven decimal places. 0.0000089 Round -8838750 to the nearest 10000. -8840000 What is 415.691 rounded to the nearest one hundred? 400 What is 138.929 rounded to the nearest integer? 139 Round 8.274084 to two dps. 8.27 Round 119509800 to the nearest one million. 120000000 Round 0.0006630454 to 5 decimal places. 0.00066 What is -0.00779505 rounded to 3 dps? -0.008 Round -421.57726 to one decimal place. -421.6 What is 37.8947 rounded to the nearest 10? 40 Round -0.000000215589 to 7 decimal places. -0.0000002 What is -340.4201 rounded to 0 dps? -340 What is 7050922 rounded to the nearest one million? 7000000 Round 0.000003237679 to six dps. 0.000003 Round 0.12526 to two dps. 0.13 What is 4.63353 rounded to 2 dps? 4.63 Round -21.1497 to 2 decimal places. -21.15 What is 208963.13 rounded to the nearest ten thousand? 210000 Round 0.15226248 to four dps. 0.1523 Round 3.53004 to 2 decimal places. 3.53 What is -49376.97 rounded to the nearest 10000? -50000 Round -53819240 to the nearest one million. -54000000 Round 1309970 to the nearest 100000. 1300000 Round -0.0000005976602 to 7 dps. -0.0000006 Round 0.00003966995 to 6 decimal places. 0.00004 What is 8215310 rounded to the nearest 1000000? 8000000 Round 181548800 to the nearest one million. 182000000 Round -5882092 to the nearest ten thousand. -5880000 Round 65825100 to the nearest 1000000. 66000000 Round -1117598.3 to the nearest one hundred thousand. -1100000 What is 0.0026323349 rounded to 6 decimal places? 0.002632 Round -19.273111 to 1 dp. -19.3 Round -13525.485 to the nearest one hundred. -13500 What is -148458170 rounded to the nearest one million? -148000000 Round 0.005663813 to 3 dps. 0.006 What is -0.00004183046 rounded to six dps? -0.000042 Round -0.0003724248 to six decimal places. -0.000372 What is -0.0000010884906 rounded to 7 decimal places? -0.0000011 What is 0.000265153 rounded to five decimal places? 0.00027 What is -7705400 rounded to the nearest ten thousand? -7710000 What is -1791825.9 rounded to the nearest 100000? -1800000 Round -0.2253 to the nearest ten. 0 Round 1362325 to the nearest one thousand. 1362000 What is 0.002158393 rounded to 4 dps? 0.0022 What is 167.1486 rounded to one decimal place? 167.1 Round 1897420 to the nearest one hundred thousand. 1900000 Round -0.0001355546 to 7 dps. -0.0001356 What is 8.1319 rounded to 2 decimal places? 8.13 Round 1433129 to the nearest 1000. 1433000 Round 1157354 to the nearest one thousand. 1157000 Round 12531.45 to the nearest 1000. 13000 Round -3559100 to the nearest one million. -4000000 What is 0.0000016559747 rounded to 7 decimal places? 0.0000017 What is 1562880 rounded to the nearest ten thousand? 1560000 What is 0.000073643988 rounded to seven decimal places? 0.0000736 Round 0.0002386952 to 7 dps. 0.0002387 What is -0.930896 rounded to 3 decimal places? -0.931 What is 1261.574 rounded to the nearest one hundred? 1300 Round -152.8 to the nearest 1000. 0 What is -0.79041887 rounded to four dps? -0.7904 What is -0.2755643 rounded to two dps? -0.28 Round 0.6941333 to 2 decimal places. 0.69 Round 20433290 to the nearest one million. 20000000 What is -160.61981 rounded to 1 decimal place? -160.6 Round -0.922133 to 2 decimal places. -0.92 Round 89708.7 to the nearest one hundred. 89700 What is 0.0001023048 rounded to seven dps? 0.0001023 What is -0.353933 rounded to three decimal places? -0.354 What is -0.0003261602 rounded to 5 decimal places? -0.00033 What is -0.0000114199 rounded to 5 dps? -0.00001 Round -5.53918 to two decimal places. -5.54 Round 0.0000000366693 to 7 decimal places. 0 What is 32.69606 rounded to the nearest ten? 30 Round -0.1213896 to two decimal places. -0.12 Round 719.7104 to one decimal place. 719.7 Round -0.000000064219 to seven decimal places. -0.0000001 What is 179.73 rounded to the nearest one hundred? 200 Round 0.000021700876 to five dps. 0.00002 What is 0.028705 rounded to two decimal places? 0.03 What is -37056.1 rounded to the nearest 10000? -40000 Round 0.29202369 to 2 dps. 0.29 Round 0.47032 to two dps. 0.47 Round 21.22302 to 1 dp. 21.2 Round -5.5221 to the nearest integer. -6 Round 119.05266 to the nearest 10. 120 Round 0.00004645 to 5 dps. 0.00005 Round 176261.82 to the nearest 10000. 180000 Round -0.09594279 to 4 decimal places. -0.0959 What is -1226047000 rounded to the nearest one million? -1226000000 What is -0.000000920872 rounded to seven decimal places? -0.0000009 Round -11.5342 to the nearest 10. -10 What is -7.87561 rounded to two decimal places? -7.88 Round -0.03181942 to four dps. -0.0318 Round 51600 to the nearest 1000000. 0 What is -0.005065213 rounded to 4 dps? -0.0051 Round 12123.39 to the nearest 10000. 10000 What is -288055500 rounded to the nearest one million? -288000000 Round -411582900 to the nearest one million. -412000000 What is 0.03436985 rounded to three dps? 0.034 What is 6728390 rounded to the nearest 1000000? 7000000 What is -0.00330549 rounded to two dps? 0 Round -0.0000028593085 to 6 dps. -0.000003 Round -721080 to the nearest ten thousand. -720000 What is 0.000747277 rounded to 5 dps? 0.00075 Round 0.00756167 to five decimal places. 0.00756 What is 108662.2 rounded to the nearest one hundred? 108700 What is 4236.6 rounded to the nearest 1000? 4000 Round -566.8395 to the nearest one hundred. -600 What is -10547630 rounded to the nearest 100000? -10500000 Round -2.956934 to the nearest integer. -3 Round -189691.6 to the nearest one hundred thousand. -200000 Round 0.044786 to three decimal places. 0.045 What is -32068.72 rounded to the nearest one hundred? -32100 Round -13502.4 to the nearest ten. -13500 Round 0.1616026 to two dps. 0.16 What is 0.3616679 rounded to four dps? 0.3617 Round 62089.47 to the nearest 1000. 62000 What is -0.0022054 rounded to four dps? -0.0022 What is 0.0005987381 rounded to four dps? 0.0006 Round -0.0017904 to two dps. 0 What is 0.000010729266 rounded to 6 dps? 0.000011 What is -3188210 rounded to the nearest ten thousand? -3190000 Round 0.025866 to three decimal places. 0.026 What is -11.898886 rounded to 2 decimal places? -11.9 What is 0.00030876972 rounded to 5 decimal places? 0.00031 What is -0.002964593 rounded to 4 dps? -0.003 Round -0.50870078 to 2 decimal places. -0.51 What is -22770674 rounded to the nearest 10000? -22770000 Round 171.57 to the nearest 100. 200 Round 0.000685614 to 5 decimal places. 0.00069 What is 25.4653 rounded to the nearest integer? 25 What is -0.01909174 rounded to 4 decimal places? -0.0191 Round -11.453 to one decimal place. -11.5 Round -0.000016389052 to 7 decimal places. -0.0000164 What is -70589780 rounded to the nearest 10000? -70590000 Round 0.054165619 to 3 decimal places. 0.054 Round -0.1014762 to 3 decimal places. -0.101 Round 2954725 to the nearest one thousand. 2955000 What is -0.1366365 rounded to two dps? -0.14 What is 0.0000006715 rounded to 7 dps? 0.0000007 Round 0.0004586826 to 7 dps. 0.0004587 Round -18.56911 to the nearest ten. -20 Round -0.0009343125 to 5 decimal places. -0.00093 What is 1090.7882 rounded to the nearest 10? 1090 Round -485584.8 to the nearest 1000. -486000 What is -0.00003632132 rounded to six dps? -0.000036 Round -0.000000086877 to 7 dps. -0.0000001 Round -0.00557425 to 4 decimal places. -0.0056 Round 1585.66 to the nearest 100. 1600 Round 0.16193295 to two decimal places. 0.16 What is 0.3952529 rounded to 4 dps? 0.3953 What is 1.537518 rounded to one decimal place? 1.5 Round -0
{ "pile_set_name": "DM Mathematics" }
u(r) be the second derivative of r**4/4 + r**3/3 + r**2/2 + r. Calculate u(-1). 2 Let n(h) = -23*h - 12 + 1 + h**2 + 35*h - 19*h. What is n(8)? -3 Suppose -2*q - 3*x + 8 = x, 4*x = 3*q + 28. Let o(i) = -7*i**3 - 7*i - 9. Let r(u) = 3*u**3 + 4*u + 5. Let v(f) = q*o(f) - 7*r(f). Determine v(1). 8 Let y(v) be the second derivative of 1/3*v**3 + 0 - 3*v - 1/2*v**2. Suppose 2*a - 8 = -0*a. Calculate y(a). 7 Let x be 2*5*(-3)/(-15). Let n(l) = 2*l**2 - 3*l + 3. Determine n(x). 5 Let m(p) = p**3 - 5*p**2 + p - 3. Let h = -3 + 8. Calculate m(h). 2 Let a = -4 - -7. Let m(j) = -4*j + 2*j + a*j + j. Give m(4). 8 Let o(y) = y. Let b(p) = -4*p + 1. Let m(f) = -2*b(f) - 4*o(f). Determine m(4). 14 Let v(j) be the third derivative of -j**4/24 - j**3/3 + 26*j**2. Calculate v(8). -10 Let p(j) be the first derivative of -j**4/4 + 4*j**3/3 + j**2/2 + 7*j - 56. Suppose -i - 10 = -3*i. Calculate p(i). -13 Let g(r) = r - 3. Let q be g(5). Suppose 0 = -q*x - 5*f + 33, f - 15 = -2*f. Let i(b) = b - 2. Determine i(x). 2 Let q(z) = -11*z + 24. Let t(y) = -3*y + 8. Let g(l) = -2*q(l) + 7*t(l). Let x(b) = -b**2 - b - 6. Let u be x(0). Give g(u). 2 Let f(a) = -5*a + 1. Let q(j) = 6*j - 2. Let t(x) = -7*x + 2. Let z(n) = -3*q(n) - 4*t(n). Let o(w) = 7*f(w) + 4*z(w). Give o(1). 4 Let p(a) = -7 + 1 - 3*a + 0. Let d be 0 + -17 + (-1 - -3). Let n be d*(-5 - -1)/(-12). What is p(n)? 9 Let v(x) be the first derivative of x**4/4 - 4*x**3/3 - 3*x**2/2 - 3*x + 2. Suppose -3*d = -5*m - 0*m + 31, -3*m = -5*d - 25. Calculate v(m). 7 Let c be 21/5 - 1/5. Suppose c*n = 12 - 4. Let z(q) = 0*q - 2*q + 3*q + 1 - 2 + n*q**2. Determine z(-2). 5 Let x(k) = 3*k + 21. Let u be x(-9). Let d(f) = f**2 + 6*f + 1. What is d(u)? 1 Let t(x) = -x**2 + 4*x - 1. Suppose -2*c + 3*c = 5*v + 13, -4*v - 20 = -4*c. Determine t(c). 2 Let d(o) be the second derivative of 0 - o**2 + o + 1/12*o**4 + 2/3*o**3. Determine d(-5). 3 Let x(i) = i**2 + 5*i + 2. Let j = -88 - -85. Determine x(j). -4 Let g(o) = o**2 - o. Let u(k) = 6*k - 2. Let a(c) = -g(c) - u(c). Let w(z) = -2*z - 14. Let q be w(-5). Determine a(q). 6 Let d(s) = -2*s**2 - 6*s - 5. Let h be d(-3). Suppose 12 = -4*i - 4*z, 2*z = 3*i + 3 - 19. Let r(p) = -p - 3*p**2 - 6*p + i*p**2 - 6. Determine r(h). 4 Suppose 0*z + 5*z = 5*r + 10, 2*r = -3*z + 21. Let g be (-20)/(-8) + r/(-2). Let h(j) = j**3 - 1. What is h(g)? 0 Let t(f) = -4*f**3 + f**2 - 1. Let w be t(-1). Suppose -y - 3*y - 4*b = -4, w = -y + 4*b. Let k(v) = -v + 0*v + 2*v + 1 + y. Determine k(-3). -2 Let t(h) = -h**3 - 7*h**2 - 7*h + 6. Let m be (20/(-25))/(2/15). Give t(m). 12 Let l(v) be the second derivative of -v**8/6720 - v**7/1260 + v**6/180 - v**5/24 + v**4/12 - 3*v. Let p(b) be the third derivative of l(b). Calculate p(-4). 11 Let l(n) = -n**3 + 4*n**2 - 2*n + 1. Let t be (6 - 0)/3 - -2. Determine l(t). -7 Suppose 9 = 4*v + 1. Let s(k) = -v + 0 + 1 + k**2. Determine s(2). 3 Let w(n) = -3*n - 5 + 6 + 1 + 5*n. Calculate w(4). 10 Let l(g) be the second derivative of g**6/24 - g**3/6 + 3*g**2/2 - g. Let y(a) be the first derivative of l(a). Calculate y(1). 4 Let x(d) = -46*d + 11. Let h(q) = 9*q - 2. Let u(b) = -11*h(b) - 2*x(b). Determine u(-1). 7 Let a(x) = -x**3 + x**2 + 4*x + 1. Suppose -n = -i + 4, 5*n + 3*i - 2 = 2. Let o(l) = -l**2 + 1. Let f(y) = n*a(y) + 2*o(y). Determine f(4). 1 Suppose 5*k = 3*d - 15, -d - 16 - 13 = 4*k. Let j be -3*(k/9 + -1). Let q(u) = u - 2. What is q(j)? 3 Let u(q) = 0 - 3*q + 0*q**2 + q**2 + 0 - 1. Determine u(6). 17 Let l(y) = -y**3 - 6*y**2 + 6. Let t(q) = -q - 2. Let n be t(4). What is l(n)? 6 Let u(v) be the second derivative of v**5/10 + v**4/6 - v**2/2 - v. Suppose 0 = 44*k - 43*k + 1. Calculate u(k). -1 Let l(x) = x. Let w(h) = h + 9. Let s(a) = 2*l(a) - w(a). Let c be s(8). Let b(p) = 2*p**3 - 1. What is b(c)? -3 Let b(i) be the second derivative of 11*i**5/20 - i**4/6 + i**3/3 - i**2/2 - 3*i. Give b(1). 10 Let j(x) be the first derivative of -x**3/3 + x**2/2 - 6*x + 17. What is j(0)? -6 Suppose 2*q = 0, -4*a + q + 3*q = 16. Let k(z) = -z. What is k(a)? 4 Let z be (-20)/(-2) + 2/1. Suppose 2*o + 2*o = z. Suppose 2*a - o = 5. Let n(m) = -m**3 + 4*m**2 + 2*m. Calculate n(a). 8 Let c(h) = -h**3 + 2*h - 2. Let u be c(2). Let s(o) = -o - 8. Calculate s(u). -2 Let q(j) = -2*j**2 + 4*j + 1. Let l(p) = p**2 - 1. Let c(g) = 3*l(g) + q(g). Calculate c(-5). 3 Let g(j) = -7*j**3 - 3*j**2 - 7*j + 3. Let u(o) = 3*o**3 + o**2 + 3*o - 1. Let v(z) = -2*g(z) - 5*u(z). Determine v(2). -7 Let t be (-9)/3 - (1 + -9). Suppose t = -x + 2*x. Let j(w) = 3*w - w**2 + 2 + 2*w**2 - 10*w. Calculate j(x). -8 Let h(c) = -4*c**2 + 10*c - 17*c + 5*c**2 + 6. What is h(4)? -6 Let t be 0/2 + -7 + 6. Let l = t - 4. Let c(k) = k**2 + 6*k - 2. Give c(l). -7 Let s(a) = -a**2 - 2*a. Suppose 0*j + j + 13 = 0. Let w = -1 - j. Suppose 5*v = -4*t + 10, v - t - t = -w. What is s(v)? 0 Let x = 2 + 0. Let w(c) = x - 4 - c + 3. Give w(6). -5 Suppose 2*v + 5 = l, 0 = -5*l + 3*v - 0*v - 10. Let g(j) = -3*j**3 - j + 3. Let n(q) = 4*q**3 + q**2 - 3. Let u(c) = 5*g(c) + 4*n(c). Give u(l). 3 Suppose f = 2 + 3. Let t(k) be the third derivative of -k**5/60 + 5*k**4/24 + k**3/3 - 13*k**2. What is t(f)? 2 Let a(u) = 3*u + 10. Let s(k) = -3*k - 11. Let o(h) = 4*a(h) + 3*s(h). Calculate o(-5). -8 Let o(h) be the third derivative of h**4/24 - 5*h**3/6 - 3*h**2. Let z(l) = 5*l**2 - 2*l + 1. Let k be z(1). Calculate o(k). -1 Let c(y) = -3*y - 3*y - 3 - y**2 + 5. Give c(-5). 7 Let m(s) = -3*s**2 + 3*s. Let z(h) = -h**3 + 9*h**2 - h + 11. Let u be -3 - ((-60)/4 - -3). Let k be z(u). What is m(k)? -6 Let n(r) = -r**2 - 3*r + 7. Suppose -s = -3*s - 2. Let f(b) = -b. Let p be f(s). Let m = -6 + p. What is n(m)? -3 Let g(q) be the second derivative of q**3/6 + 116*q. Let m(t) = -t - 1. Let a(n) = 2*n + 6. Let f(i) = -a(i) - 3*m(i). Let y be f(6). Give g(y). 3 Suppose 18*g = 5*g + 26. Let j(x) be the first derivative of 3 - x - 1/3*x**3 + 3*x**g. Calculate j(5). 4 Let l(n) = -2*n - 4. Suppose -1 = 3*m - 16. Suppose -3*w + 22 = 2*w - 3*v, -m*w + 5*v + 20 = 0. Give l(w). -14 Let f(n) = -n + 2. Suppose 3*c + 4 = 13. Let i be (0 - (c - -7))/2. What is f(i)? 7 Suppose 0*a + a = 5*y + 1, -a + 9 = 3*y. Let z(w) be the first derivative of 3*w**2/2 - 7*w + 3. Give z(a). 11 Let a(k) be the first derivative of -k**4/4 + k**3 + 3*k**2/2 + k + 3. Suppose 4*t - 16 = -0*l - 2*l, 0 = 5*t - 2*l - 20. Give a(t). -3 Let k(s) be the first derivative of s**3/6 + 2*s**2 + s + 3. Let t(w) be the first derivative of k(w). Calculate t(-4). 0 Suppose -y = 2, 4*k = -3*y + y + 220. Let z be 2/3 + k/(-12). Let n(s) = -2*s - 6. Determine n(z). 2 Suppose h - 6*h = -s + 11, -4*h = -2*s + 16. Let y(m) = 3*m + 3. Let r(z) = 2*z. Let u(k) = 5*r(k) - 3*y(k). Give u(s). -3 Let f(m) = 11*m + 1. Suppose -8 = -2*k + k + 5*w, -k + w = 0. Calculate f(k). -21 Let h(n) = n - 2. Let b(w) = -w + 3. Let v(c) = -c + 3. Let r(q) = -5*b(q) + 6*v(q). Let g(f) = 7*h(f) + 6*r(f). What is g(-6)? -2 Let p(n) = -n + 5. Let g(l) = -2*l + 9. Let b(i) = -6*g(i) + 11*p(i). Let j be b(0). Let t(c) = -4*c - 1. What is t(j)? -5 Let z(k) be the third derivative of -k**5/60 + k**4/3 + k**3/2 + 2*k**2. Give z(7). 10 Let c = 2 + 3. Let y(l) = l**2 - 6*l - 2. Let u be y(c). Let p be 2/u + 76/(-28). Let s(w) = w**3 + 2*w**2 + w + 4. Give s(p). -8 Let r be (4/(-10))/((-2)/(-20)). Let j(i) = -533 - i + 0*i + 527. What is j(r)? -2 Let s(q) = 6*q**2 + 13*q - 21. Let n(y) = 5*y**2 + 12*y - 19. Let b(d) = 5*n(d) - 4*s(d). What is b(-9)? -2 Let i(d) = -d + 2. Suppose 8 = 3*n + 2. Suppose -n*o + 4*o = -4*m + 8, -o + 6 = 3*m. Let a = m - -3. Give i(a). -3 Let x(v) = v**3 - 4*v**2 + 3*v + 4. Suppose -t + 3 + 3 = 0. Suppose 0 = -2*g - 0*g + t. What is x(g)? 4 Let z(d) = -d - 2. Suppose -4*w = -o - 7, 5*o - 3*w = 4*o - 6. Let x(i) = i**2 + 12*i + 8. Let s be x(-12). Let t = o + s. Determine z(t). -7 Let z(n) = 4*n + 1. Let i(o) = o - 15. Let g be i(8). Let y = 13 + g. Suppose 0 = v + 2*v + y. Calculate z(v). -7 Let c = 0 + 5. Let q = 0 - -4. Let r(g) = -5*g + g - g - 3*g**2 + 2 + q*g**2. Calculate r(c). 2 Let o(y) = 1. Let z(m) = -m**2 - 3*m - 2. Let k(f) = -3*o(f) - z(f). Let j(q) = -q. Let w(r) = -r**3 - 6*r**2 - r - 4. Let x be w(-6). Let v be j(x). Give k(v). -3 Let b(n) = n**3 - 11*n**2 - 4*n
{ "pile_set_name": "DM Mathematics" }
+ 12/(-66). Suppose -3*m + 10 = 2*m. Solve 2*u - u + 5 = 5*k, 0 = m*u + 3*k + j for u. -5 Let d = 3 - 3. Suppose -2*t + 8 = d, -r + 3*t = 2*t + 3. Let k = 1 + r. Solve -4*h = -4*o + h + 6, -k*o - h + 10 = 0 for o. 4 Let g = 0 - -2. Suppose 7*k = g*k. Suppose 0 = -k*w + 5*w - 35. Solve 3*j = -3*a + w*j + 19, j = -4*a + 19 for a. 5 Let l(u) = 11 - 3*u**3 - 3*u + 4*u + 6*u**2 + 4*u**3 + 4*u**2. Let f be l(-10). Solve -c + f = -k - 3, 3*k + 9 = 0 for c. 1 Let j = 15 + -11. Solve 5*t - t = -s - 5, -j*s - 4*t - 20 = 0 for s. -5 Let h = -23 - -23. Solve h = -4*f - 2*c - 20 + 4, -f + 4*c = -14 for f. -2 Let t be (2 - 12/8) + (-35)/(-10). Solve m = -d, -t*m + 35 = -m - 4*d for m. 5 Suppose c + 3*t = 18, -c - t = c - 11. Suppose -c = -k - 3*x, 4*x - 2 = 3*k + 2*x. Solve k*j + j - 3*i + 10 = 0, 6 = j + i for j. 2 Let i(h) = -2*h - 26. Let z be i(-14). Solve -4*l + 5*v + 10 = z*v, 2*l = -v for l. 1 Let p be (-2)/4 - (-14)/4 - 1. Solve -l = 2*s - p - 2, -l + s = -4 for l. 4 Let b(i) = -i**2 + 6*i + 4. Let s be b(14). Let p be s/(-45) + (-2)/5. Solve 0 = -2*t + 4*d + 2, -t + p*d = -4*t - 21 for t. -5 Suppose -44 = 5*x + 51. Let p = -19 - x. Solve 7 = -p*r + 3*r - 2*q, -16 = -4*q for r. 5 Let x = 46 - 42. Let h be 51/7 - 4/14. Solve 0 = -n - 6*v + x*v - 10, -n = v + h for n. -4 Let c(a) = -a**3 - 29*a**2 + 31*a + 32. Let h be c(-30). Solve -5*r = 4*o - 2*o + 7, -2*r = -h*o for r. -1 Suppose 5*d = 19 + 26. Let b be 6*1 - 2 - 2. Solve -3*w = -r + 8, 2*r + r + d = -b*w for w. -3 Let g = -67 - -69. Solve g*c - 5 = -o, 0*c - 3 = -4*c + 5*o for c. 2 Let v(a) = -9*a + 0*a**2 - a**2 - 7 + a. Let b be v(-6). Solve -3*l = -5*y - 20, b*l - 2*y = 28 - 1 for l. 5 Let x = 9 + -7. Suppose 0 = -0*f + x*f - 6. Solve -4*j + f*i = -j - 6, -5*i + 10 = 0 for j. 4 Let m = -20 - -37. Suppose m - 2 = 3*r. Solve -12 = 4*l, -x = x + r*l + 25 for x. -5 Suppose -12 = s - 4*s. Let d = 6 - s. Let r be (-3 - 0)/((-3)/d). Solve 3*b = -5*m + 1, 11*m + r*b = 6*m - 1 for m. -1 Let o = -68 - -71. Solve -2*m + 0*c + 3*c = 11, 2*c - 4 = o*m for m. 2 Let h(y) = -y**3 - 4*y**2 + 4*y - 2. Let f be h(-5). Suppose -f*k + 12 = -0. Let r = k - -9. Solve r = -4*l + 3*m, -3*m + 0*m = l - 8 for l. -1 Suppose 0*u = -u - 4*d - 14, 0 = -3*u + 2*d. Let y be (u + 4)*(-10)/(-4). Solve -3*h + y*l = 20, 3*l + 1 - 4 = 0 for h. -5 Let z be ((-1)/1 + 4)*1. Suppose 3*l - z*f = 12, 0 = -5*l + l - 2*f + 28. Suppose 0 = -5*r + 14 + l. Solve 0*n - q - 14 = r*n, -2 = -q for n. -4 Let v = 46 - 45. Let s be 46/6 + 2/6. Solve 4*m + 1 = -a - v, -5*a - 2*m = -s for a. 2 Suppose -5*n + 115 = 5*s, -6*s + 5*n = -2*s - 101. Let f = s - 9. Solve -3*j + 12 = 2*x + 2*x, 5*x - 3*j = f for x. 3 Let q(y) be the first derivative of -y**4/4 + 5*y**3/3 - 3*y**2/2 - 3*y - 7. Let k be q(3). Solve 0*m + m = 0, 3*z = -2*m - k for z. -2 Let t(j) = j + 13. Let o be t(-10). Solve -i - o = 0, -4*i - 23 = -4*m - 3*i for m. 5 Suppose -12 = -4*h - y, -3*h - 3*y = -0*y. Solve -h*r - 5*c = 6, 0 = 2*r - 2*c + 5 + 7 for r. -4 Let d be 0*(10/(-4) + 2). Solve d = s + 5, 0 = -3*x + 2*x - s for x. 5 Suppose 3*y + 5 = 2*h, 2*y - 2*h = -2*y - 4. Let i be 12/8 - y/(-2). Solve 2 - 1 = i*c + 3*r, -4*r = 5*c - 13 for c. 5 Let n = 13 - 5. Suppose -4*c - 17 = -1. Let a be (-10)/20 - 2/c. Solve -h + v - 1 = a, 3 = 3*h - n*h + 4*v for h. 1 Suppose -15*o + 16*o - 3 = 0. Solve -3*s + n - 27 = -3*n, 5*n = o*s + 30 for s. -5 Let w be (14/35)/((-1)/(-5)). Solve u = -q + 1, -4*u + 6 = w*q - 2 for u. 3 Let l(k) = k**3 + 2*k**2 - 5*k - 3. Let b be l(-3). Let i = b + -4. Let m = i - -1. Solve -5*s - x + 3 = 0, 2*s + 5*x + 10 - 2 = m for s. 1 Let k be (-6 + 0)/24 - (-98)/8. Solve -4*v - k = 3*w - 4*w, 2*w + 5*v = -2 for w. 4 Let u = 3 - 2. Suppose -5*g + u = -24. Solve -2*w + 0*w + 9 = -g*l, 2*w - 3*l = 7 for w. 2 Let l be (-20)/30 - (-8)/3. Solve 5*w - 4*x = -24, -5*w = -5*x + 23 + l for w. -4 Suppose 23 + 25 = 12*o. Solve -3 = n, 3*c - 5*c + 20 = -o*n for c. 4 Suppose 3 - 13 = -2*x. Suppose -2*k = 2*k - 12. Suppose b - 4*s = -4*b + 19, k*b + 4*s - 5 = 0. Solve -4*r - l = -1, -2*r + x*r = -3*l + b for r. 0 Let y = -46 + 66. Solve -3*m + 5*p + y = 0, 2*m = 5*p + 24 - 4 for m. 0 Let a = 7 + 13. Solve -a = 4*j + 2*n + 6, -4*j + n = 11 for j. -4 Let h(b) = b**2 + 10*b - 11. Suppose 3*d = -4*p - 7 - 28, 18 = -3*p - 5*d. Let g be h(p). Solve g = -4*i - 2*w - 20, -w - 9 = -i + 2*w for i. -3 Let q = -7 + 16. Suppose 2*a - 9 = -1. Suppose -2*n = -0*n - a. Solve 0 = -3*u - 3, -4*j - n*u = u - q for j. 3 Suppose -2*s + 6 + 2 = 0. Suppose 6*x - 46 = -4*d + 4*x, -5*x = 3*d - 45. Suppose 2*k - s - d = 0. Solve 0 = 2*f + 5*b + k, -4*b = 3*f - 9*b - 27 for f. 4 Let g be (-10)/(-4) + 4/(-8). Let m(t) = -4*t - 3. Let a be m(-4). Let k = a + -3. Solve 1 = 5*x - g*s, -4*x + 0*s - 2*s - k = 0 for x. -1 Let s = 5 - 3. Suppose 4*a = 3*d + 15, -d = s*a - 2 + 7. Solve a = 3*u - q, -4*q - q - 12 = -3*u for u. -1 Suppose -3*l = -3 - 36. Solve 5*g + 4*a - a - l = 0, 5*g = -a + 21 for g. 5 Suppose 3*a - 4*p = 7*a + 12, 3*p - 3 = 0. Let v(f) = f**2 + f - 3. Let y be v(a). Suppose -7 = -4*q + y. Solve q*l + 8 = 2*r, 0 = 3*l + l - 3*r + 12 for l. 0 Suppose -35 = -2*t - 0*h - h, 5*t + 3*h - 87 = 0. Let a(k) = -k**2 - 6*k + 2. Let m be a(-6). Solve -5*g - m*i + 27 = 0, -6*g + 3*g - 3*i + t = 0 for g. 5 Let t be 2/(-4) - 50/(-4). Let y = 253 - 246. Solve -2*x - 2*f + t = 0, -1 = -x - 3*f + y for x. 5 Suppose 3*h = -4*a + 34, -4*a = h - 5 - 33. Solve -5*q = -k + 5*k - 40, -2*k = -a for q. 4 Let s(m) = m**2 - 2*m - 2. Let w be s(3). Solve 4*a - 3 = 5*g, -3*a + 5*g = -7 + w for a. -3 Suppose 4*l - 18 = 2*b, 6 = -3*b - 5*l - 10. Let x = -7 - b. Solve x = a - 3*c - 3 + 4, 2*a + 2 = 4*c for a. -1 Let o = -3 + 5. Let g = -4 + 6. Suppose -18 = -4*i - 2. Solve 10 = -0*t - g*t + i*v, 0 = o*t - 2*v + 6 for t. -1 Let x be (-16)/(-6)*(-3)/(-2). Suppose -4*s + 0*s = -12. Solve -5*h - 4*m + s = 0, x*h - 5*m = -h + 30 for h. 3 Let o be (-8)/(2 + -5 + 2). Solve -2*j + 0*m - 4*m = -8, 4*j - 4*m + o = 0 for j. 0 Suppose -11 = 5*r - 86. Solve -5*a + r = -5*d - 10, -4*d + 2*a - 16 = 0 for d. -3 Suppose -m = -m - 4*m. Solve -k - 3*z + 7 = m, 2*k - 5*z - 12 = -42 for k. -5 Let x(b) = b**3 - 9*b**2 + 12*b - 5. Let s be x(8). Suppose -s = -o + 5*w, 0*o - 2*w = 2*o + 6. Solve o*q = u - 11, 2*q = 2*u - 0*q - 16 for u. 5 Suppose 9*f + 12 = 13*f. Solve 0 = 4*o + 12, f*u = -4*o - 11 - 16 for u. -5 Let p = 18 - 13. Suppose -z + w = -4 + 6, p*w - 28 = -z. Solve -3*u + 4*u - 4 = 0, -5*l - 2 = -z*u for l. 2 Suppose -n + 2*n = 2. Suppose 0*v = j + 2*v, 3*j - 33 = 5*v. Solve n*p + 2 = -2*t, -2*t = -3*p + p - j for t. 1 Let j be (0 + -1)/2*-4. Suppose 14 + j = 2*p. Let c(d) = d**2 + 6*d + 7. Let r be c(-5). Solve -4*f + p = 4*a, 3*f - 4*a = r*f + 7 for f. 3 Let j(l) = -2*l + 4. Let g be j(-1). Solve 4*d - 22 + g = -4*w, 0 = 3*w for d. 4 Suppose 4*x = 2*x. Let n = 2 - x. Let c = n - 0. Solve -u + 2 = c*w + 11, -2*w - 5*u - 21 = 0 for w. -3 Let q(g) = g + 3. Let z be q(0). Let t = 7 + -5. Let h = 4 - t. Solve 6*d - 3*o = h*d - 3, 15 = z*o for d. 3 Suppose -s = -5*v + 20, 3*v + 3*s = 10 + 2. Let t(x) = -3*x + 1. Let k be t(-1). Suppose -i = -k - 1. Solve 1 = 3*j + i*l, -j + 5*l + 3 + v = 0 for j. 2 Suppose -3 = -3*o + 9. Suppose -3*v = -13 + o. Suppose 4*s - 45 = -v*h + 10, 0 = -h + 1. Solve -s = -2*k + 3*g, -3*k + 0*g = 4*g - 11 for k. 5 Let s = 20 + -16. Solve 0 = -v + 2*f - 11 - 0, 5*v + s*f = 15 for v. -1 Let n be (-4)/(0 + -4) - 1. Suppose b + b = n. Solve 2*z - 4*t + 8 = 0, b*z + 2*z + 6 = 2*t for z. -2 Suppose 0 = r + 4, 1 = p - 5*r - 14. Let n = 11 + p. Solve 4*s = -3*z + 9, -2*z + s + n = -0*z for z. 3 Let f = 25 + -23. Solve 0 = -f*w + j + 7, 3 = 4*w - 2*w - 5*j for w. 4 Suppose -2 = -3*c + v, 12 = -4*c - 5*v + 40. Solve -x - c + 13 = -4*z, -5 = 2*z - x for z. -3 Let n be 8*(-1)/(12/15). Let g be 88/10 - 2/n. Solve l = -4*q, -q - 2*l - g = -4*l for q. -1 Let k(b) = -b**2 - 5*b - 4. Let s be k(-4). Suppose s = -3*g - 12, -4*g - 4 - 4 = 4*d. Solve 0*y + 2*m = -4*y - 12, -5*y + d*m - 33 = 0 for y. -5 Let j(l) be the third derivative of -l**5/60 + 7*l**4/12 - 11*l**3/6 - 2*l**2. Let v be j(13). Solve 2*x + 2 = 0, -v*x = -5*z - 7 - 11 for z. -4 Suppose 5*s - 24 = -3*f, 0 = 3*s + 2*s + 5*f - 20. Solve 5*i - i - s = 2*z, -5*z = 2*i - 33 for z
{ "pile_set_name": "DM Mathematics" }
-3 - -2). Suppose 3*x - 30 + c = 0. Let v be (0 + 6/15)*x. Solve -2 + v = i for i. 2 Let r(j) = -20 + 3*j + 4*j**2 + 0*j**2 + j**3 + 22. Let f be r(-3). Let t(a) = -a**2 - 7*a + 2. Let d be t(-5). Solve i = -f*i - d for i. -4 Suppose -2*p = 4*a + 5 - 1, p - 4*a - 10 = 0. Solve p*r - 2 = 6 for r. 4 Suppose 0 = 3*d - 0 - 36. Suppose 0 = 6*i - 3*i - d. Suppose i*m - 3*f = 27, -4*m - f - f = -2. Solve 6 = -m*b - 9 for b. -5 Suppose h + 5*x = -28, 3*h = 2*h + 3*x + 12. Let i(f) = -f**3 - 2*f**2 - f. Let g be i(h). Solve 5*k + 8 = -g for k. -4 Let d = 1 + 1. Suppose -w = -d*w + 7. Solve 1 + w = -2*z for z. -4 Let t(y) = 2*y - 6. Let r = 14 - 7. Let h be t(r). Solve -h = i + i for i. -4 Suppose 2*q + n + 3*n = 10, -20 = -4*q - 3*n. Suppose 0*j - q = -j. Let g be (6/(-15))/(2/(-20)). Solve 16 + g = -j*x for x. -4 Let k(f) = f**3 - 9*f**2 + 2*f - 13. Let i be k(9). Solve i = -2*y + y for y. -5 Suppose 2*f + u = 4*u + 15, 15 = -4*f - 3*u. Suppose 0 = -2*g - 2*g + 12. Solve f*n = g*n + 6 for n. -2 Let g be (-18)/(-3) - 3 - -2. Suppose -2*p + g*x - 2*x + 10 = 0, 5 = p - x. Solve 4*r = p*r - 5 for r. 5 Let z(h) = 4*h**2 + 5*h - 1. Let p be z(-2). Solve -s = -p*s - 8 for s. -2 Suppose 2*c - 10 = -0*c. Solve c*p = p + 8 for p. 2 Let f(i) = -i**2 + 7*i + 3. Let x be f(7). Solve o - x = -0 for o. 3 Suppose -7*v - 2*v = -135. Solve -2*l - l = -v for l. 5 Let w(h) = -14*h + 1. Suppose -4*b = -0*i + 3*i - 8, 16 = 4*b + 5*i. Let v be w(b). Suppose -3*k - 16 = -7*k, 0 = -s + 4*k - v. Solve -s + 21 = -4*c for c. -5 Let k be 20/1 - 0/(-12). Solve 0 = -4*r - r + k for r. 4 Suppose g - 4*z - 2 = -0*g, 2 = g + 2*z. Solve -g*c + 2 = -0 for c. 1 Suppose 0*t = -4*t + 36. Suppose 2*m = 5*m - t. Suppose -3*s + 15 - 7 = -2*r, 2*s - 27 = -3*r. Solve 3*k + m = s*k for k. 1 Let x = -5 + 4. Let i be x/(-2)*(-10 - -10). Solve i = -4*u + u + 6 for u. 2 Let n = 22 + -14. Suppose -10 = 5*d, -4*h + n - 2 = 5*d. Solve -h = t - 3*t for t. 2 Let b be (-36)/45*5/(-2). Solve b*g + 12 = 5*g for g. 4 Let p(v) = v - 1. Let r(g) = 60*g - 55. Let k(b) = 220*p(b) - 4*r(b). Let s be k(-1). Solve -4*a - s = -0*a for a. -5 Suppose 0*r = -4*r - 4*x + 24, 9 = 2*r + x. Solve -a - r = -0 for a. -3 Let t(c) = c**2 + 2*c - 12. Let k be t(-5). Suppose 0 = -3*y + 6*y - d - 16, -3*d = 3*y. Solve y = -g + k for g. -1 Let f(n) = -n + 0*n + 0 - 1. Let o be f(-5). Suppose r + 2 = o. Solve r*z = -z + 15 for z. 5 Suppose -2*z = 2*h - 2, 2*h + 2 = 3*z + 6*h. Solve u + z*u = -6 for u. -2 Suppose 3*z - 4*x = -8, -2*z - 2*z = -2*x + 4. Solve 2*i + z = -6 for i. -3 Suppose f - 4*f = -30. Let k = f - 10. Solve 4*x + 0 + 4 = k for x. -1 Let r be 1 + 60/14 + 16/(-56). Suppose -v = l - 5*l - 21, 96 = 4*v - 4*l. Solve 0*q = -r*q + v for q. 5 Suppose -37 + 47 = 5*l. Solve -l = -z + 1 for z. 3 Suppose -37 = 8*d - 269. Solve -5*p - d = -4 for p. -5 Suppose -2*p + 6 = -a - 2, p + 5*a = -18. Suppose p*h - 12 = -h. Solve 14 = -h*g - 2 for g. -4 Suppose 0 = -2*h + 3*h - 1. Suppose 3*i - 6*x = -x + 34, -x + h = 2*i. Solve 4*v + 5 = -i for v. -2 Suppose -2*l + 4 = 2*i - 2, -5*l = -3*i - 23. Solve -14 = l*q - 2 for q. -3 Suppose 5*y = 3*y + 4. Let j be 6/(-3) + 20/y. Solve -5*n - 3 = -j for n. 1 Let w = 7 + -5. Suppose 0 = w*k - 3*p - 7, -13 = -3*k + p + p. Suppose -9*s + k*s = -8. Solve 0 = 3*j + s*j for j. 0 Suppose r - 2*b = 25, 7*b - 3*b = 5*r - 131. Solve -4*c = -7 + r for c. -5 Let q(m) = 5*m**2 + 5. Let z be q(2). Solve 2*i = 7*i + z for i. -5 Let f = -4 - -3. Let w be -5 + 4 + 102 + f. Suppose 4*m = -m + w. Solve -6*h - m = -h for h. -4 Let p be (-54)/(-24)*(-8)/(-6). Solve -2*w = w - p for w. 1 Let k be ((-3)/6)/(2/(-156)). Let i be k*(6/2 - 2). Suppose -5*x + 0*x + 2*u + 24 = 0, -5*x - 3*u = -i. Solve 2*w + x = -0 for w. -3 Let k be (-12)/(-16)*4 + 7. Solve o = 6*o - k for o. 2 Let y(l) = l**3 + 7*l**2 + 7*l + 1. Let v be y(-6). Let p(h) = -h**2 - 6*h - 3. Let o be p(v). Solve 0 = -o*g - 2*g + 20 for g. 5 Let z = 3 + -11. Let m(r) = -2*r - 9. Let j be m(z). Solve j = 3*n - 5 for n. 4 Let m be (7/2 - 3)*10. Suppose -5*b = 5*a + 10, -3*b = 4*a - 3 + 11. Let l = b - 0. Solve -4*p + m - 1 = l for p. 1 Let x(j) = j**3 - 2*j**2 - 2*j - 3. Let w be x(3). Solve 20 = -4*q - w*q for q. -5 Let x be (-110)/(-3)*12/5. Suppose 5*d + 28 = x. Let c be ((-2)/4)/((-2)/d). Solve c = -2*a - a for a. -1 Suppose -3*c + 6 = 3*h, -3*h + 8 = 4*c - h. Solve -8 = 2*v - c for v. -3 Let l be -1*3/3*8. Let z(i) = 2*i + 10. Let h be z(l). Let m = -1 - h. Solve -m*v = 6 - 1 for v. -1 Let v be (-472)/(-20) + (-3)/5. Suppose 5 = -f, 10*f + v = -b + 5*f. Solve 0 = 3*l + b + 1 for l. -1 Let s be 1*(15/5 - 1). Solve 8 = -2*x - s*x for x. -2 Suppose 0*s = -s + 2. Let h be 2/((-35)/(-10) + -3). Let w = 2 + 0. Solve s*d - h = -w for d. 1 Suppose -307 = -5*x - 3*p, 2*p = -0*x - 2*x + 122. Let b = -88 + x. Let j be b/(-8) - 1/4. Solve h + 0*h = -j for h. -3 Let b = 18 + -6. Let d(f) = f + 2. Let v be d(0). Solve -v*c - c = -b for c. 4 Let g(o) = o**2 + 7*o + 6. Let q be g(-7). Let y(c) = c**3 - 6*c**2 + 4. Let s be y(q). Solve 14 - 2 = s*j for j. 3 Let q be (-39)/(-26)*4/6. Suppose 2*h - 8 = -4*f, f = -3*h - 2*h + 11. Let w be (-1)/((-2)/h) + q. Solve -w*u - 6 = u for u. -2 Let u(i) = i**3 + i + 4. Let d be u(0). Solve -o + d = 2 for o. 2 Suppose 3*t = -5*m + 8, 4*t + 28 = -m + 4*m. Solve 0 = m*a - 4 for a. 1 Suppose 4*t - 5 = 3. Solve -t*q - 2 + 4 = 0 for q. 1 Suppose 0 = 4*q - 2*m + m, 0 = q + 5*m. Suppose -3*l + 4*w + 7 = -q*l, 0 = 2*w + 2. Solve -l = 2*y - 3 for y. 1 Let j be (-39)/(-26) + 5/2. Solve 0*f = j*f - 20 for f. 5 Let d = -91 + 107. Solve 0 = -3*n + 7*n - d for n. 4 Let y(n) = -n**3 - 10*n**2 - 10*n - 7. Let p be y(-9). Solve -p*m = -4*m for m. 0 Let b be (1/3)/(2/6). Suppose 0 + b = 2*h - o, 4*h + 1 = -o. Solve h = -z - 2 - 3 for z. -5 Suppose 0 = 5*h - 100 - 0. Solve 0 = 4*k - 9*k - h for k. -4 Suppose -6 = 4*d - 2. Let v(c) = c**3 + 4*c**2 + c - 3. Let k be v(-3). Let w = k + d. Solve -s = w*s for s. 0 Suppose 32*i = 31*i. Solve 0 = 2*s - i*s + 8 for s. -4 Let z = -9 + 12. Suppose 3 = 4*d - z*d. Solve -d*h = 2 + 1 for h. -1 Let d be 2/8 + 62/8. Let n be (-6)/(-4)*(0 - 2). Let j = n + 5. Solve 0 = j*g + d for g. -4 Let l(g) = g - 3. Let c be l(7). Suppose c*j = j. Solve -y + 0*y - 1 = j for y. -1 Let c = 45 + -33. Solve -f + c = -4*f for f. -4 Let l(f) = f + 6. Suppose -4 + 10 = -2*p, -3*i + 2*p = 12. Let w be l(i). Solve 2*g + 0*g = w for g. 0 Let l be (-20)/(-8) + 2/(-4). Let d(k) be the third derivative of -k**6/120 - 2*k**5/15 - 7*k**4/24 + 3*k**2. Let q be d(-7). Solve -t - l*t = q for t. 0 Let h be (1 - (-1 + 2))*1. Suppose h = 4*r + r - 5. Solve -4*a = -11 - r for a. 3 Suppose 0 = -6*r - 4*r + 40. Solve k + 0 = r for k. 4 Suppose -7 - 7 = 3*p + 4*u, 4*p = -4*u - 12. Solve p*w = w for w. 0 Suppose -x = -0*x, -x = -h. Solve h = 2*d - 5 - 5 for d. 5 Let j(n) = n**2 - 8*n + 2. Let s be j(8). Suppose -z + f - 3 = s, z + 5*f = 25. Solve z = 5*l - l + 16 for l. -4 Let x(j) = -j**3 - 7*j**2 - 8*j - 8. Let q be x(-6). Solve 19 = -q*z - 1 for z. -5 Let n(v) = -v + 3. Let q be n(-3). Suppose 5*t = 3*t + q. Solve y + t = -0*y for y. -3 Let r = 42 - 40. Solve -r + 0 = g for g. -2 Suppose b + 5*l = -30, 33 = -b - b - l. Let x = b + 21. Solve 2*z - 4 = x*z for z. -1 Suppose -22 = 5*k + 8. Let n be (-8)/k*(-3)/(-2). Suppose -3*t = -n*y + y + 15, -15 = 2*y + 3*t. Solve y*v - 3*v = -6 for v. 2 Let u = -124 - -128. Solve 4*c + u = 2*c for c. -2 Suppose h - 6 = 5. Solve 4*t - h = -27 for t. -4 Let y be 14 + -1*(2 - 0). Suppose -4*l - y = 0, 5*l + 2 = -4*h - 5. Let o be (-15)/10*(-2)/3. Solve o = h*v - v for v. 1 Let g be 1/(-4) - 225/(-36). Suppose -2*q - 2*b + g = -18, -5*q + 40 = -5*b. Solve -4*t = t - q for t. 2 Suppose 2*q - 4*q + 4 = 0. Suppose -v + 2 = r, -4*r - v + 2*v = -28. Solve q*i - r = -i for i. 2 Suppose 5*v - 5*p = 25, 5*v - 4*p - 24 = -0*p. Let j = 15 - 10. Solve -j*c + v = -c for c. 1 Let v(q) = q**3 - 3*q**2 - q - 1. Let l be v(3). Let x be (l/(-2))/((-7)/(-7)). Solve x + 8 = -2*n for n. -5 Let q(u) = 4*u**3 - u**2 + u. Let x be q(1). Suppose 5*p + x*v = -0*p + 32, p - 4*v = -8. Solve -p*i + 0 - 4 = 0 for i. -1 Suppose 0*u = 2*u. Suppose 0 = 5*c + m - 6, 0*m + 5 = c + 4*m. Suppose -k + u*y = y - 5, -y = -3*k - c. Solve -2*z = k + 1 for z.
{ "pile_set_name": "DM Mathematics" }
1 - 3 - (-1892)/u is divided by 45? 39 Let w(g) = 4*g**3 - 33*g**2 + 83*g - 135. Calculate the remainder when w(7) is divided by 28. 5 Let v(n) = -9*n**3 + 6*n**2 - n - 7. Calculate the remainder when 3716 is divided by v(-1). 8 Suppose w + l - 23 = 3*l, 3*w = 5*l + 71. Let x(d) = 2*d**3 + 24*d**2 + 45*d - 32. Let v be x(-8). What is the remainder when (-8)/(-1)*720/v is divided by w? 21 Suppose 0 = 51*u - 49*u + 5*y + 8, -2*u + 4 = 2*y. Calculate the remainder when 228 is divided by u. 0 Let k(f) = 4*f**2 - 11*f - 35. Let y be k(-6). Let m = y - 159. Calculate the remainder when 61 is divided by m. 13 Let r be ((-8)/6)/((-2)/24). Suppose -5*d = -r - 24. Suppose 4*o - 2 = o - 2*p, -d = -o + 3*p. What is the remainder when 9 is divided by o? 1 Suppose -90 + 8670 = 11*f. Let x = 800 - f. What is the remainder when 357 is divided by x? 17 Let c = -34 + 47. Let o(q) be the third derivative of q**5/60 - 13*q**4/24 + 29*q**3/6 - 123*q**2. What is the remainder when o(c) is divided by 10? 9 Let z(x) = 32*x + 567. What is the remainder when z(39) is divided by 202? 199 Let x = -421 + 426. Suppose 192 = 4*f - 5*y, -x*y + 0 = -20. Suppose 2*v + 42 = 4*r, -3*v + 2*v + 42 = 5*r. Calculate the remainder when f is divided by r. 8 Let b(a) = a**2 + 22*a - 4. Suppose 5*x = -j - 15, -14*x = 4*j - 9*x. Calculate the remainder when b(-24) is divided by j. 4 Let u = 56 + -28. Let p(s) be the first derivative of -s**3/3 - 11*s**2/2 + 8*s + 9. Calculate the remainder when u is divided by p(-11). 4 Suppose 0 = -3*v - 5*u - 51 + 83, -v + 14 = u. Calculate the remainder when -3*(-5)/(-3) - -250 is divided by v. 17 Let k = 4000 - 3706. Calculate the remainder when 1467 is divided by k. 291 Suppose -8*f + 1776 = 29*f. Suppose -21*v = -19*v, 4*v = 2*c - f. Calculate the remainder when 57 is divided by c. 9 Let h = 1983 - 1782. Calculate the remainder when h is divided by 163. 38 Let y(m) = m**2 + 7*m - 4. Let p be y(-8). Calculate the remainder when (2 + -1)/(6/366) is divided by -4*((-6)/(-8) - p). 9 Let l(d) be the first derivative of -d**2 - 102*d + 4. Let j(k) = -k - 34. Let v(i) = 7*j(i) - 2*l(i). What is the remainder when 52 is divided by v(-16)? 10 Suppose -497*m + 890*m - 457*m = -7744. What is the remainder when 357 is divided by m? 115 Let d = 1346 - 925. Let n = d + -591. Calculate the remainder when 214 is divided by 5/10 + n/(-4). 42 Let n(m) = 15*m**2 - 5*m + 3. Suppose -5*z + 2*g = 8, -g + 10 - 7 = -2*z. What is the remainder when n(z) is divided by 38? 35 Let j(v) = v + 5. Let p be j(-5). Let o(k) = k**3 + 5. Suppose -1391 = 112*s - 5647. What is the remainder when s is divided by o(p)? 3 Suppose 2*n + 4*j = 2200, -5*j - 2208 = -2*n - 8*j. What is the remainder when n is divided by 365? 21 Suppose 4*d - 85 = 4*h - h, -3*d - 2*h + 51 = 0. What is the remainder when 728/28*514/52 is divided by d? 10 Suppose 400 = 23*w - 3*w. Suppose -7*r = 3*c - 3*r - 835, -4*r - w = 0. What is the remainder when c is divided by 17? 13 Let j = -775 + 540. Let b = j - -252. What is the remainder when 271 is divided by b? 16 Suppose 2621 = 8*y + 341. Suppose -3*b = -2*f - 466 - y, 0 = 4*f + 20. What is the remainder when b is divided by 50? 47 Suppose 41 = 5*k + 2*p, 2*k - 24 = p - 4. Calculate the remainder when 17486 is divided by k. 8 Let t = -3273 - -4455. Calculate the remainder when t is divided by 2. 0 Let h(o) = -10*o + 715. Suppose -4*v - 5*t + 191 = 0, -2*v = -4*v + t + 99. Calculate the remainder when v is divided by h(69). 24 Let p = 2 + 15. Let c = 20 - p. Let s(i) = 2*i**2 - 4*i + 2. Calculate the remainder when 31 is divided by s(c). 7 Let a(l) = -l**3 + 6*l**2 + 11*l + 13. Let z be a(6). Suppose j - 71 = -s, -2*s - z = -3*s - 3*j. Calculate the remainder when s is divided by 10. 7 Let s(n) = -110*n - 253. What is the remainder when 1173 is divided by s(-3)? 18 Let t(j) = -11*j - 124. Let p(v) = -v**3 + 4*v**2 + 6*v - 2. Suppose 4*k = s + 15, -4*k - s = -3*s - 14. What is the remainder when p(k) is divided by t(-12)? 6 Let b = 10 - -20. Suppose -2*y - 561 = -571. Suppose 0 = -4*f + y*m + 24, -23*m + 49 = 3*f - 19*m. What is the remainder when b is divided by f? 8 Suppose a - 464 + 409 = 0. Suppose -4*u - 16 = -l, -l + 0 = 5*u + 11. What is the remainder when a is divided by (-22)/(-3) + u/9? 6 Let k = -31354 - -31593. Calculate the remainder when 335 is divided by k. 96 Suppose 77*r - 2268 = 126*r - 76*r. What is the remainder when 4031 is divided by r? 83 Let j = 3920 + -3808. Calculate the remainder when 2481 is divided by j. 17 Let t(o) = o - 2. Let n be t(6). Suppose -n*w + 248 = 5*l - 500, 3*w + 5*l - 561 = 0. Calculate the remainder when w is divided by 38. 35 Suppose -8*f - 143 = 10*f - 503. Calculate the remainder when 254 is divided by f. 14 Let p(f) = -6*f**2 - 11*f + 4. Let t be p(-5). Let h be (-2)/((-4)/(-3)) + (-798)/(-4). Let v = t + h. What is the remainder when v is divided by 10? 7 Let p be (-58)/435 + 3454/30. Suppose 5*d = -2*w + p, 7*w - 25 = 2*w. What is the remainder when 93 is divided by d? 9 Suppose -17*q + 13*q = -44. Suppose 12 = -9*g + q*g. What is the remainder when (-1638)/(-35)*15/g is divided by 30? 27 Suppose 22*t = 18446 - 428 + 15136. What is the remainder when t is divided by 24? 19 Suppose -3*a + 5 + 13 = 3*w, -4*a = -5*w + 66. Calculate the remainder when (-221)/(-4) - (195/20)/(-13) is divided by w. 6 What is the remainder when (-6)/14 - (-58860)/140 is divided by 74? 50 Let x = 1164 + -246. What is the remainder when x is divided by 62? 50 Suppose -2*u - 256 = -3*v + 901, 0 = v - 5*u - 390. Calculate the remainder when v is divided by 126. 7 Suppose 134 = -5*h + 5*a + 729, -4*a = -3*h + 363. Calculate the remainder when h is divided by 36. 5 Suppose 0 = 5*v, 0*h - 3*h = -3*v - 30. Suppose -f + h = -4. Calculate the remainder when 417 is divided by f. 11 Suppose -21*x + 34742 = -1021. What is the remainder when x is divided by 14? 9 Let q(a) = -a**3 - 19*a**2 + 22*a + 42. Let i be q(-20). What is the remainder when (i - -6)/2 + (-620)/(-10) is divided by 9? 3 Suppose -2*k + 18 + 36 = 2*w, -w + 31 = -k. What is the remainder when 14599/39 - 6/(-9) - 0 is divided by w? 27 Suppose 6 = -5*x + 26. Suppose -x*z + 41 + 3 = 0. Suppose -2*s - 42 = -4*s. Calculate the remainder when s is divided by z. 10 Let b be (1/2)/((-8)/(-2080)). Suppose -5*d + b = -20. Calculate the remainder when d is divided by (-2)/14 - (-1088)/119. 3 Let x(l) = -l**2 - 13*l + 133. Suppose -23*k - 30 = -21*k. What is the remainder when x(k) is divided by 7? 5 Suppose 6*f - 2*f - 100 = -3*c, -2*f + 56 = 3*c. Let w = 12686 - 12496. What is the remainder when w is divided by f? 14 What is the remainder when ((-657)/(-45))/(104/20 + -5) is divided by 19? 16 Calculate the remainder when (-24)/(-180)*30 - -167 is divided by 86. 85 Suppose -6*r + 252 = -4*r + 5*x, 2*x - 124 = -r. Let i = r - -45. What is the remainder when i is divided by 4? 1 What is the remainder when 1303 - (165/(-15) + 9) is divided by 431? 12 Let t(u) = 2*u**3 + 16*u**2 + 6*u + 6. Let h = 4521 - 4302. What is the remainder when h is divided by t(-6)? 105 Let f = -2470 + 4160. Suppose 3*l + 73 = -3*d + f, -2694 = -5*d - 4*l. Calculate the remainder when d is divided by 45. 43 Let l(g) = 2*g**2 + 12*g + 20. Let m be l(-3). Suppose j - m*v = 52, j + 0*v - 52 = v. What is the remainder when 204 is divided by j? 48 Let u = -3 + 4. Suppose -159*s - 79*s - 102*s = -340. What is the remainder when u is divided by s? 0 Let i be 5/(-55) - (-6910)/22. Suppose 305 = 4*s + 3*d, -2 = 4*s - 4*d - i. What is the remainder when s is divided by 22? 11 Let j(h) = h**3 + 19*h**2 - 3*h - 41. Let i(p) = p**2 - 29*p + 35. Let b be i(27). Calculate the remainder when 24 is divided by j(b). 8 Let h(z) = -9*z**3 + z**2 - 4*z - 2. Let i(y) = 9*y**3 + 3*y + 3. Let r(l) = -3*h(l) - 4*i(l). What is the remainder when r(-2) is divided by 22? 10 Let g(a) = -a**2 + 5*a + 59. Let s be g(10). Suppose 0 = -s*n - 541 + 1792. What is the remainder when n is divided by 49? 41 Let v(s) = 2*s**2 - 57*s + 46. What is the remainder when (0 - -49) + (7 - 7) is divided by v(28)? 13 Suppose 0*i - 5*i + 66 = 3*y, 4*y = 2*i + 114. Suppose 3*l = 2736*s - 2738*s + 1356, 0 = -5*l + 2*s + 2292. What is the remainder when l is divided by
{ "pile_set_name": "DM Mathematics" }
*n(x) - 5*r(x)? x**2 - x + 7 Let n(j) = -90*j**2 + 879 + j + j**3 + 89*j**2 + 890 - 1770. Let k(p) = -p**2 - 2 + p**3 + 6*p**3 + 2*p - p**2. Determine k(l) - 2*n(l). 5*l**3 Let b(v) = 52*v + 477. Let f(m) = -35*m - 477. What is 2*b(a) + 3*f(a)? -a - 477 Let n(g) = 3*g**3 - 68*g**2 - 195. Let x(k) = k**3 - 29*k**2 - 98. Calculate 2*n(z) - 5*x(z). z**3 + 9*z**2 + 100 Let s(f) = 343*f**2 - 152. Let d(c) = -515*c**2 + 245. Determine 5*d(q) + 8*s(q). 169*q**2 + 9 Let v(j) = -j**2 - 2*j + 1. Let y(o) = -222*o**2 - 8*o + 2. What is 4*v(l) - y(l)? 218*l**2 + 2 Let f(j) = 136*j - 6. Let l(u) be the second derivative of -9*u**3/2 + u**2/2 + 2086*u. What is 3*f(v) + 16*l(v)? -24*v - 2 Let b(l) = -11*l**2 + 76*l + 403. Let r(v) = -7*v**2 + 48*v + 269. Calculate 5*b(f) - 8*r(f). f**2 - 4*f - 137 Let n(k) = 3*k - 4. Let v(g) = 13*g + 6. Let j(r) = -33*r - 15. Let u(w) = 2*j(w) + 5*v(w). Determine n(p) + 2*u(p). p - 4 Let t(s) = 2 - 25*s**3 + 179*s - 56*s - 123*s + 6*s**3. Let k(a) = 13*a**3 - 1. Determine 8*k(x) + 5*t(x). 9*x**3 + 2 Let i(u) = -5*u**3 - 8*u**2 + 14*u - 64. Let f(n) = 4*n**3 + 7*n**2 - 12*n + 64. Determine 7*f(c) + 6*i(c). -2*c**3 + c**2 + 64 Suppose -81*z + 819*z = -946*z - 10104. Let d(a) = -2*a - 4. Suppose -t - 7 - 35 = 2*m, 3*m = -4*t - 148. Let u(g) = 12*g + 23. Calculate t*d(c) + z*u(c). -4*c - 2 Let x(o) = -5*o - 14. Let s be -6*(-15)/(810/(-12))*3. Let z(c) = 2*c + 5. Determine s*x(y) - 11*z(y). -2*y + 1 Let l(q) be the first derivative of -q**4/4 + q**3 + 2*q**2 - 3*q + 134. Let h(w) = 6 - 3 - 5*w + w**3 - 2 - 4*w**2 + 3. Give -4*h(g) - 5*l(g). g**3 + g**2 - 1 Let b(l) = -7*l**2 - 6*l - 6. Suppose -z + 3*i + 76 = 18, 5*z + 2*i = 375. Let k = z + -72. Let u(t) = 0 - 1 + k + t**2 + 1 + t. Determine -b(f) - 6*u(f). f**2 Let i be (-958)/2874 + (-4)/(-3). Let f(q) = 3*q - 1. Let y(z) = 1. Calculate i*f(g) + 5*y(g). 3*g + 4 Let f(m) = 3*m**3 + 5*m**2 - m - 7. Let x = -58 + 60. Let o(a) = x*a**3 + 3*a**2 + 5 - a**2 - 8. Suppose 9*h - 42 = -12*h. What is h*f(y) - 5*o(y)? -4*y**3 - 2*y + 1 Let c(r) = -3466*r**2 - 6*r + 4. Let x(a) = 3*a - 2. Give c(z) + 2*x(z). -3466*z**2 Let v(k) = -4*k**2 - 2*k**2 - 9*k**2 - 7*k**3 + 9*k. Let z = -157416 - -157410. Let f(p) = 4*p**3 + 8*p**2 - 5*p. Determine z*v(o) - 11*f(o). -2*o**3 + 2*o**2 + o Let q(k) = -4*k + 3. Suppose -2*g = 4 + 6. Let t(w) = 3*w - 420 - 419 - 419 + 6*w + 1252. Give g*q(l) - 2*t(l). 2*l - 3 Let s(v) = 16. Let a(x) = -x**3 - 34*x**2 - x - 41. Let r be a(-34). Let u(h) = h - 48. What is r*s(p) - 2*u(p)? -2*p - 16 Let c(x) = -x**3 + x - 1. Let j(m) = 3*m**3 - 2*m + 2. Let a = 5 + -9. Suppose 91*w = 126*w + 70. Calculate a*c(g) + w*j(g). -2*g**3 Let t(r) = 47*r - 12. Let v(a) = 53*a - 10. What is 7*t(u) - 6*v(u)? 11*u - 24 Let c(o) = 982*o**2 - 16*o + 4. Let v(t) = 492*t**2 - 9*t + 2. Give -6*c(w) + 11*v(w). -480*w**2 - 3*w - 2 Let z(v) = -3*v**2 + 2. Let s = 12 + -10. Let y(n) = 2*n**2 + 15*n - 1. Let j(r) = -9*r**2 - 75*r + 4. Let t(l) = -j(l) - 5*y(l). Determine s*z(p) - 4*t(p). -2*p**2 Let k(b) = 3*b**3 - 2*b**2 - 2*b + 2. Let j = -4137 - -4159. Let x(n) = 11*n**2 - 16*n**3 + 11*n - 10*n**2 - 11 + 10*n**2. Calculate j*k(y) + 4*x(y). 2*y**3 Let h(p) = p - 4. Let j = 6 - 9. Let a(d) = 3*d + 7. Let r be a(j). Let s(v) = 2*v - 2. Let c(f) = -11*f + 11. Let z(w) = -c(w) - 6*s(w). What is r*z(x) - h(x)? x + 2 Let k(l) = 23*l**3 - 33*l**2 + 131*l + 5. Let g(i) = -17*i**3 + 25*i**2 - 99*i - 4. Determine -9*g(x) - 7*k(x). -8*x**3 + 6*x**2 - 26*x + 1 Let v(o) = -3*o**2 + 149*o. Let w(y) = -8*y**2 + 370*y. Calculate 12*v(b) - 5*w(b). 4*b**2 - 62*b Let b(q) = 13*q + 8223. Let w(l) = -10*l - 6169. Calculate 7*b(z) + 9*w(z). z + 2040 Let n(p) = -2*p**2 + 19*p - 6. Let m(y) = 2*y**2 - 5*y - 1. Determine -2*m(t) - n(t). -2*t**2 - 9*t + 8 Let v(x) = 4*x**3 - 2*x**2 + 3*x + 4. Let l(j) = -11*j**3 + 5*j**2 - 7*j - 9. Let n(b) = 2*l(b) + 5*v(b). Let r(a) = -a - 1. Give n(k) + r(k). -2*k**3 + 1 Let c(m) = -2*m**3 - 5*m**2 + 2*m + 37. Let p(f) = -12*f**3 - 26*f**2 + 10*f + 182. What is 11*c(d) - 2*p(d)? 2*d**3 - 3*d**2 + 2*d + 43 Let g(u) = -3*u + 1. Let v(n) = n**3 + 11*n**2 + 19*n - 14. Let l be v(-8). Let i(x) = 2*x - 50. Let c be i(l). Let t(h) = 13*h - 5. Calculate c*t(b) + 9*g(b). -b - 1 Let n(f) = -3*f**3 - 3*f**2 - f - 3. Let u = 9 + -7. Let c(w) = -3 + 7*w**u - 6*w**2 + 4. Let y be 6/10 - 30/(-75). What is y*n(x) + 3*c(x)? -3*x**3 - x Let c(x) = -310*x**3 - 22*x**2 + 20. Let g(z) = 3*z**3 + z**2 - 1. Calculate 2*c(y) + 44*g(y). -488*y**3 - 4 Let t(l) = l**2 - l + 1. Let d(h) = -3 + 17*h**2 + 9*h**2 - 9*h - 46*h**2 + 10*h. What is -d(k) - t(k)? 19*k**2 + 2 Let k(y) be the first derivative of 8*y**2 + 2*y - 2935. Let x(p) = 17*p + 1. Calculate -2*k(g) + 3*x(g). 19*g - 1 Let a(d) = -d**3 - 1. Suppose 82*k - 14*k = 38*k + 180. Let n(l) = 7*l**3 - l**2 - l + 7. What is k*a(h) + n(h)? h**3 - h**2 - h + 1 Let o(j) = -j + 11. Suppose 49 - 9 = -8*h. Let t(x) = 19*x - 6. Let y(i) = -16*i + 6. Let n(p) = -5*t(p) - 6*y(p). Determine h*n(f) - 3*o(f). -2*f - 3 Let l(t) be the third derivative of -t**5/20 - 5*t**4/12 + 2*t**3/3 + 4*t**2. Let i = -12410 + 12414. Let m(u) = u**2 + u - 1. What is i*m(a) + l(a)? a**2 - 6*a Let y(j) = 3*j - 6. Let u(k) = 9*k - 643. Let o be u(72). Let l(w) = -2*w + 3. Determine o*l(f) + 3*y(f). -f - 3 Let c(n) = -2*n + n**2 + 0*n + 3*n. Let r(w) = w**3 - 6*w**2 - 9*w - 1. Let u = -8146 - -8147. Determine u*r(j) + 6*c(j). j**3 - 3*j - 1 Let u(l) = -88*l**3 + 66*l + 66. Suppose 0 = -4*o, -o + 30 = 5*m - 3*o + 35. Let p(d) = d**3 - d - 1. Determine m*u(f) - 66*p(f). 22*f**3 Let g(c) = 88*c**2 + 84*c - 10380. Let b(p) = 16*p**2 + 15*p - 1886. Calculate -28*b(q) + 5*g(q). -8*q**2 + 908 Let p(h) = -41*h**2 - h + 5. Let v(g) = -34*g**2 - 3*g + 4. Give -6*p(i) + 7*v(i). 8*i**2 - 15*i - 2 Let m(s) = -53*s**2 - 15*s - 22. Let t(n) = 55*n**2 + 20*n + 24. What is 4*m(b) + 3*t(b)? -47*b**2 - 16 Let d(z) = 3*z**2 - 3*z + 13. Let j(c) = c**2 + c - 5. Let k be j(0). Let p be (3/k - 11/(-10))*-2. Let y(u) = -u**2 + u - 1. Give p*d(x) - 4*y(x). x**2 - x - 9 Let n(w) = -w + 3. Let o(q) = 170*q + 38. Give 12*n(j) - o(j). -182*j - 2 Let l(q) = -2*q. Suppose 170*s + 6426 = -197*s - 92*s. Let i(g) = -5*g. Give s*l(v) + 6*i(v). -2*v Let z(g) = -g - 2 + 6 - 2. Let f be 14/(-35) + -8 + ((-777)/15)/(-7). Let h(n) be the first derivative of -n + 19. Calculate f*z(t) - 3*h(t). t + 1 Let i(a) = -85*a**3 + 16*a**2 + 16*a + 714. Let h(r) = -57*r**3 + 10*r**2 + 10*r + 476. What is -8*h(c) + 5*i(c)? 31*c**3 - 238 Suppose 5*d - r - 95 = 0, -2*d + 9*r + 38 = 7*r. Let j(x) = 22 - 15*x + d + 23 + 5*x - 68. Let m(n) = 29*n + 11. Give -11*j(s) - 4*m(s). -6*s Let l(b) = -3616*b**2 + 3*b - 19. Let v(r) = 3619*r**2 - 4*r + 25. Determine 4*l(f) + 3*v(f). -3607*f**2 - 1 Let h(k) = 26*k - 4. Let m(b) be the third derivative of 25*b**4/24 - 5*b**3/6 + b**2 + 308. Give 5*h(t) - 4*m(t). 30*t Let i(t) = 1027*t**2 + 2*t - 15. Let b(g) = 1029*g**2 + 2*g - 20. Determine 3*b(k) - 4*i(k). -1021*k**2 - 2*k Let d(k) = 3*k**3 + 1971*k + 10. Let x(j) = -5*j**3 - 2958*j - 16. What is 8*d(u) + 5*x(u)? -u**3 + 978*u Let l(r) = -27*r**2 - 43*r - 324. Let w(d) = -14*d**2 - 17*d - 161. Give 2*l(i) - 5*w(i). 16*i**2 - i + 157 Let x(j) = 2*j**2 - j - 4. Let m(v) = -44*v**2 + 44*v + 40. Determine -m(s) - 10*x(s). 24*s**2 - 34*s Let a(l) = -4*l**3 + 40*l**2 + 30*l - 10. Let z(w) = -w**3 + w**2 + 3*w - 2. Determine a(t) - 5*z(t). t**3 + 35*t**2 + 15*t Let x(c) = -c - 30. Let a(z) = 8*z - 481. What is a(q) - 5*x(q)? 13*q - 331 Let k(w) = 6*w + 19. Let y(u) = u + 4. Let x(n) = k(n) - 5*y(n). Suppose 3 - 2 = 3*g - 2*p, 25 = -5*g - 2*p. Let s(h) = 10*h - 8. What is g*s(z) + 24*x(z)? -6*z Let i(t) = 38*t + 26. Let j(r) = -13*r - 9. Let b = 33197 + -33203. Determine b*i(u) - 17*j(u). -7*u - 3 Let t(x) = 430*x. Let o = 3817 - 3777. Let y(v) = -33*v. Give o*y(f) + 3*t(f). -30*f Suppose -7*o - 3*o = 0. Suppose -z - 5*z + 18 = o. Let q(b) = -b**3 - 4*b**2 + 4*b - 4. Let g(w) = w**3 + 3*w**2 - 3*w + 3. Determine z*q(c) + 4*g(c). c**3 Let b(m) = 76*m**3 + 19*m**2 - 19. Let h = -3386 - -3367. Let o(f) = -19*f**3 - 5*f**2 + 5. What is h*o(l) - 5*b(l)? -19*l**3 Let i = 40 + -37. Let l be (-2668 - -2667)/(34/70 + 4/(-14)). Let v(z) = z**3 - 3*z**2 + 3*z + 4. L
{ "pile_set_name": "DM Mathematics" }
ose 1 = -3*c - 8. Let f be c/(-2) + (-20)/8. Sort 0, f, -4 in ascending order. -4, f, 0 Suppose -d = -4*d - 5*w + 23, 3*w = -3*d + 15. Sort d, 4, -5. -5, d, 4 Let k = 28 + -26. Let n = 7 - 11. Let u = 3.5 + n. Sort k, -2, u. -2, u, k Suppose 15 = 5*a - 0*a. Let u = 0 + a. Let k be 5/(-1 - 1 - -3). Sort -2, u, k. -2, u, k Suppose 2*g = 2 - 6. Let z be 24/15 + g - -1. Let d = -6 + 8. Sort 2/3, d, z in descending order. d, 2/3, z Suppose -6 = c - 1. Suppose 2*z + 10 = -4*a, 8*a + z = 11*a + 5. Sort c, a, 3 in descending order. 3, a, c Let b = 25 + -27. Put b, -1, 5 in descending order. 5, -1, b Let z be (6/39)/(-2)*-2. Sort 1/2, z, 1/4. z, 1/4, 1/2 Let p = -1.5 + 1. Sort -4, -2/11, p in ascending order. -4, p, -2/11 Let g(r) = -2*r**2 - r + 1. Let w be 2 + (-1 - 1)/2. Let s be g(w). Let t = -18 + 13. Sort s, t, 5 in descending order. 5, s, t Let f = 4 - 3. Let t be (-2 - -1)*5/f. Sort 5, 1, t in decreasing order. 5, 1, t Let g = -1 + -1. Let v be 2/(-8) + (-50)/(-8). Suppose v = 3*z, 3*z - 4 - 7 = -m. Put m, g, 2 in increasing order. g, 2, m Suppose -2 = -2*g - 4. Sort 1, g, -6 in descending order. 1, g, -6 Let m(y) = y**2 - 6*y + 1. Let h be m(6). Let q = -3 + h. Let d be 4/(-6) - (-133)/(-57). Sort q, 5, d. d, q, 5 Let c be (((-1)/4)/(-1))/1. Put c, 5, 0.4 in descending order. 5, 0.4, c Let a(w) = -w**2 + 0 + 2*w - 3 + 2*w. Let z(y) = 3*y**2 + y - 1. Let q be z(1). Let t be a(q). Sort -3, t, 4 in descending order. 4, t, -3 Suppose -3*o = 4*y - 7, -3*y + 2*o = -5 + 21. Let i be (0 + y)/1 - -3. Let t = 106 - 111. Sort t, 5, i in descending order. 5, i, t Let a = 22 - 13. Let k = -7 + a. Sort -1, k, 0 in descending order. k, 0, -1 Let d(r) = -r**3 - 3*r**2 + 3*r - 1. Let b be d(-4). Let p be 11/(-2)*(-252)/231. Sort -5, p, b in decreasing order. p, b, -5 Let z = -36 + 33. Sort 5, 4, z in ascending order. z, 4, 5 Suppose -2*r + 5*r - 6 = 0. Let z be -4 - (-1 - 1) - r. Let x be 4/(-6) + (-2)/(-3). Sort -3, z, x. z, -3, x Let p = 4.62 - 5. Let r = p + 0.08. Let y be ((-2)/3)/((-5)/3). Sort r, -0.1, y in decreasing order. y, -0.1, r Let z be -4*((-3)/4)/1. Suppose -k = -z*k. Sort -5, k, 5 in descending order. 5, k, -5 Let u = 13.05 - 12. Let h = u - 0.05. Sort h, 3, -3. -3, h, 3 Let d(w) = -3*w - 6. Let o be d(-6). Suppose -4*r + o = -8. Suppose -3*x + 4*l + 19 = 0, -3*x + 0*l = 5*l + 17. Put x, -4, r in descending order. r, x, -4 Let c be (-12)/10*40/12. Let h be 1/((-1)/(-3)) - 10. Let f = -10 - h. Put c, f, 6 in ascending order. c, f, 6 Let z = -15 - -14.8. Put -3, 2, z in decreasing order. 2, z, -3 Let f = 0.13 - 0.1. Sort f, -2, 5. -2, f, 5 Let t = -3 + 5. Let r(n) = n**3 - n**2 - 9. Let v be r(0). Let w be (3/v)/((-1)/3). Put w, t, 5 in descending order. 5, t, w Let z be (-42)/(-9) - (-2)/6. Let j be (-2)/(-6) - z/(-3). Suppose 5*f - 2*v + 0*v = -7, 0 = -2*v + 2. Sort j, -2, f in descending order. j, f, -2 Let a(k) = k - 8. Let c be a(8). Sort c, 2, -3 in descending order. 2, c, -3 Let z = 0.12 - 0.02. Let a = -9 + 17/2. Sort -4, z, a in increasing order. -4, a, z Let q(t) = 3*t - 5. Let a be q(2). Put -1, 4, a in descending order. 4, a, -1 Let x = 70 + -68. Sort -8, 5, 4, x in increasing order. -8, x, 4, 5 Suppose -2*j = 2*j. Put 7, j, 5 in increasing order. j, 5, 7 Let d = -63 - -64. Put -4, -1, d, -5 in decreasing order. d, -1, -4, -5 Let t = -7 - -52/7. Put -1/2, t, -0.6 in increasing order. -0.6, -1/2, t Let t = -14/5 - -7/15. Let m = -52/21 - t. Let p = 555/8 - 69. Sort p, 3/4, m in decreasing order. 3/4, p, m Let x = 15541/322 + -338/7. Let i be 1*2 - (-13368)/(-5520). Let a = x - i. Put a, 0.1, -1/4 in decreasing order. a, 0.1, -1/4 Let d = 0.35 - -0.05. Let u = -1.3 - -6.3. Sort 0, d, u in descending order. u, d, 0 Let z = 4 + -4.1. Let k = 35 - 32. Sort -2, z, k. -2, z, k Let z(u) = -2 + 2 + 2 + 0*u**2 + u**3 - 3*u**2. Let s be z(3). Suppose d - 3 = 2*x, -x + 2 = 3*d - 14. Sort -4, s, x. -4, x, s Let y = 3.06 - 0.06. Let f be 2 - (-4 - -3 - -4). Put f, 0, y in decreasing order. y, 0, f Let r(o) = 2*o + 1. Let f be r(-2). Suppose -4 = 4*w + 3*l + 10, -w = -3*l + 11. Sort f, 0, w in ascending order. w, f, 0 Let t = 0.2 + -0.3. Suppose -10 = -5*l - 6*u + 2*u, 0 = 4*u. Suppose 0 = -3*d + 1 + l. Put -1/3, d, t in decreasing order. d, t, -1/3 Let c = 0 + -1. Suppose -3*t + 9 = -0*t. Let l be 15/t - (0 + 2). Put -3, l, c in ascending order. -3, c, l Let z = 20 + -18. Sort 4, z, -1 in increasing order. -1, z, 4 Let j(x) = -3*x. Let r be j(1). Let b be r/2*(-6)/9. Let p(n) = -n**3 + 8*n**2 - 4*n - 16. Let m be p(7). Sort b, -4, m in descending order. m, b, -4 Suppose -32 = 5*a - 5*m + m, -2*a = -m + 11. Put -2, a, 4 in descending order. 4, -2, a Suppose -15 = -0*j + 3*j. Suppose 4*f - u + 0*u + 4 = 0, 3*u - 5 = 5*f. Sort 0, f, j in increasing order. j, f, 0 Let w(r) = 3*r - 30. Let v be w(13). Put v, 5, -2 in decreasing order. v, 5, -2 Suppose 4 = 5*b - 16. Sort b, -2, 7 in descending order. 7, b, -2 Suppose -5*j + 21 = 2*g, 0 = 5*j - 0*g - 5*g. Suppose 0 = 5*u - 5 - 5. Suppose -u = -d + 2*d. Sort 5, j, d in increasing order. d, j, 5 Suppose 3 = -3*t - v + 1, 8 = 5*t - 4*v. Suppose -3*u - 12 = 0, -n + t*u + 8 = -u. Suppose -4*x = 2*c + c + 5, -n*c - 2*x = 0. Put -5, 5, c in decreasing order. 5, c, -5 Let s(d) = -d**3 + 42*d**2 - 80*d - 2. Let y be s(40). Let x be (3/4)/(2/(-2)). Suppose 0 = 5*n - 2 + 22. Put n, x, y in descending order. x, y, n Let d = -5 - -6. Let b = 5.6 - 6. Let k = 1 + -1.1. Sort b, k, d. b, k, d Let d = 0.12 - -4.88. Let n(i) = i**2 - 28*i + 3. Let u be n(28). Put 0.1, u, d in ascending order. 0.1, u, d Let s = -50.8 - -51. Sort 1/2, -4, s in decreasing order. 1/2, s, -4 Let u be 9/2 + 3/2. Suppose -3*x + x = -u. Sort -5, -4, x in ascending order. -5, -4, x Let n be (10/6)/((-16)/144). Put n, -4, -5 in decreasing order. -4, -5, n Suppose -3*u + 4*m = 1, 5*m = -5*u + 12 - 2. Let w be u/(-3) - 4/(-3). Let g(r) = r - 16. Let a be g(11). Sort w, a, 5 in increasing order. a, w, 5 Suppose 5 + 5 = 3*k + y, -2*y = -3*k + 16. Put 1, -0.1, k in decreasing order. k, 1, -0.1 Let g be (-1 - (-16)/6)*3. Let l(y) = y**3 - 12*y**2. Suppose -3*r + a + 52 = 5*a, 2*r - 16 = 2*a. Let b be l(r). Put 2, b, g in descending order. g, 2, b Let u = 0 + -1. Let m be 3*(-2)/(-5)*-5. Let g = m + 4. Put g, u, 2 in descending order. 2, u, g Let g = 1.03 + -0.53. Sort g, -2/15, -1.1, -0.1. -1.1, -2/15, -0.1, g Let q = -41 - -40. Sort q, 2, 1, 3 in decreasing order. 3, 2, 1, q Let s = -4.09 + 0.09. Sort 1, s, 2 in decreasing order. 2, 1, s Let i = -3 + -1. Put i, 3, 2 in increasing order. i, 2, 3 Let k be -1 + 16/4 + -7. Sort 0, 6, k. k, 0, 6 Let o = 0.565 + -0.165. Let j = -0.1 + 0.19. Let g = 4.09 - j. Put 1, o, g in increasing order. o, 1, g Suppose -c + 7 = -3*s - 10, -3*c + 2*s = -23. Let l be (-1 + -2)/((-2)/(-2)). Sort -4, l, c. -4, l, c Let u(z) = z**2 + 12*z - 16. Suppose -4*w + 21 - 76 = 3*t, -18 = 2*t - 2*w. Let l be u(t). Sort 2, l, -4 in increasing order. -4, l, 2 Suppose v - 2 = 2. Suppose 3*k = -v + 19. Suppose 1 = k*z - 19. Sort 2, 5, z in ascending order. 2, z, 5 Let t = -3.1 + 3. Suppose x + 0*x - 31 = 0. Let n = -92/3 + x. Put 0.4, n, t in decreasing order. 0.4, n, t Suppose 0 = 21*z - 19*z - 10. Let g(f) = -f**3 - 6*f**2 + 7*f - 4. Let m be g(-7). Sort 1, m, z. m, 1, z Let y(m) = 1 + 1 - 13 - 5*m + 5 - m**2. Let g be y(-3). Put 4/7, 4, g in ascending order. g, 4/7, 4 Suppose -3*w = -1 - 14. Let h = w - 1. Let t = 27 - 31. Put t, 0, h in decreasing order. h, 0, t Let h = 0.565 + -0.065. Sort h, -3, -1/9. -3, -1/9, h Suppose 18*v - 24 = 14*v. Put v, 4/3, 0.5 in decreasing order. v, 4/3, 0.5 Let r(x) = -x - 7. Let i be r(-7). Suppose 3*y - 2*o + 1 + 4 = i, 2*o + 7 = -y. Sort 3, 5, y in descending order. 5, 3, y Let q(g) = -g**3 + 11*g**2 - 11*g + 11. Let o be q(10). Let s be 4 - o/2*-2. Let j be (3/4)/((-39)/8). Sort s, -2/5, j. -2/5, j, s Let i = -9 - -4. Let w(h) = h + 1. Let u = 6 + -11. Let j be w(u). Put j, i, 1 in descending order. 1, j, i Let j = 0.7 + 3.3. Let z = -3.6 + j. Put 0, 0.09, z in descending order. z, 0.09, 0 Let h(c) = -3*c - 10. Let r be h(-8). Let s be 80/r + (-4)/(-14). Suppose -v = 5*i - 10 - 5, 2*i - s = -v. Put 0.1, v, 0.4 in descending order. 0.4, 0.1, v Suppose -3*t + 18 = f, 5*f + 0*f = t + 10. Sort 4, f,
{ "pile_set_name": "DM Mathematics" }
Let f(v) = -v**2 - 14*v - 15. Let l be f(-13). Calculate l*b(u) - 9*g(u). -2*u - 1 Let u(r) = -2*r. Let w(b) = -2*b. What is 3*u(q) - 4*w(q)? 2*q Let x(d) be the second derivative of -d**4/6 - d**2 + 23*d. Let r(k) = 2*k**2 + 3. Give 2*r(c) + 3*x(c). -2*c**2 Let s(f) = 10*f - 1. Let b(l) = 40*l - 5. Give 2*b(p) - 9*s(p). -10*p - 1 Let p(d) = -6 - 5 + 12 + 0. Let o(c) = -c**3 - c**2 + 1. Let a be o(-1). Suppose -a = -2*u + u. Let s(l) = 2*l + 2. Calculate u*s(b) - 2*p(b). 2*b Let a(d) = 33*d**3 + d**2 - 3*d. Let k(m) = 100*m**3 + 3*m**2 - 8*m. Give -8*a(t) + 3*k(t). 36*t**3 + t**2 Let l(c) = 113*c - 4. Let r(w) = 28702*w - 1017. Determine -1017*l(o) + 4*r(o). -113*o Let i(x) = 4*x**2 - 5*x - 5*x**2 - x**2 + 2. Let u(d) = d**2 + 3*d - 1. Let r = 41 - 66. Let o = r + 15. What is o*u(n) - 6*i(n)? 2*n**2 - 2 Let j(p) = 2*p - 4. Let n(d) = -106 + 211 - 104. Let z(u) = -u**2 - 6*u - 4. Let q be z(-5). What is q*j(b) + 4*n(b)? 2*b Let k(j) = -99*j**3 + 5. Let o(t) = 98*t**3 - 4. Calculate -3*k(n) - 4*o(n). -95*n**3 + 1 Let x(p) = -16*p**3 - 3*p**2 - 3*p. Let i(c) = -65*c**3 - 13*c**2 - 13*c. Determine 6*i(g) - 26*x(g). 26*g**3 Let g(l) = 6*l**2 + 7*l + 4. Let o = 63 + -74. Let b(w) = 17*w**2 + 20*w + 11. Determine o*g(q) + 4*b(q). 2*q**2 + 3*q Let j(f) = 5*f**3 + 6*f**2 + f + 4. Let h(t) = -9*t**3 - 11*t**2 - 2*t - 8. Determine -6*h(v) - 11*j(v). -v**3 + v + 4 Let u(a) = 9*a**2 - a - 6. Let d(w) = -10*w**2 + w + 7. Calculate 6*d(h) + 7*u(h). 3*h**2 - h Let l(p) = 4*p**3 - p - 2. Let v(b) be the third derivative of -7*b**6/120 + b**4/12 + b**3/2 + 7*b**2. Calculate -5*l(c) - 3*v(c). c**3 - c + 1 Let h(i) = -2*i + 1. Let o(r) = 5*r - 2. Let n(a) = -2*a - 1 + a - a. Let x be n(1). Calculate x*o(c) - 8*h(c). c - 2 Suppose 7*u + 17 = 3. Let k(f) = -f. Let i(s) = -2. Give u*k(m) - i(m). 2*m + 2 Let p(f) = 21*f**3 - 5*f**2 + 5*f. Let d(k) = 325*k**3 - 78*k**2 + 78*k. Calculate 5*d(v) - 78*p(v). -13*v**3 Let x(m) = -5*m**3 + 5*m**2 + m + 3. Let c(h) = -h**3 + h**2 + 1. Determine -3*c(i) + x(i). -2*i**3 + 2*i**2 + i Suppose 2*i + 17 = f, -3*f - 3 = 6. Let n(q) = 4*q + 3. Let p(v) = -12*v - 10. What is i*n(o) - 3*p(o)? -4*o Let w(q) = 2*q**3 - q**2 - 5*q + 7. Let n(t) = 2*t**3 - 4*t + 6. What is 5*n(l) - 4*w(l)? 2*l**3 + 4*l**2 + 2 Let q = -30 + 35. Let k(g) = g**3 - 2*g. Let t(a) = -3*a**3 + 5*a. Calculate q*k(n) + 2*t(n). -n**3 Let y(g) = 4*g - 7. Suppose 5*n = j + 45, -2*n + n = 4*j - 9. Suppose -4*l - 5*s + 13 = 0, n = -l - 5*s + 1. Let k(x) = -2 + 3 - x + 1. What is l*k(v) + 2*y(v)? v Suppose 4*b + 49 = 5*z + 2*b, 3*b + 2 = z. Let w(h) = -2*h**2 + 9. Suppose 242 = -52*l - 70. Let q(d) = -d**2 + 5. Give l*w(x) + z*q(x). x**2 + 1 Let x(y) = 8*y**2 + 3*y - 3. Let k(h) = h**2 - 1. Give -5*k(j) + x(j). 3*j**2 + 3*j + 2 Let i(m) = 10*m + 5. Let a(p) = 9*p + 6. Give 6*a(h) - 7*i(h). -16*h + 1 Let a(v) = -v**2 + 1. Let l(z) = -6*z**2 + 9. Let i(n) = -4*a(n) + l(n). Let j(t) = 4*t**2 - 9. Give -7*i(c) - 4*j(c). -2*c**2 + 1 Let w(u) = 26*u**3 + 6*u**2 - 16. Suppose 0 = -3*t - 2*r - 3, -7*r + 15 = -2*r. Let z(s) = -5*s**3 - s**2 + 3. Calculate t*w(i) - 16*z(i). 2*i**3 - 2*i**2 Let n(k) = k**2 + 5*k + 1. Let b = 9 + -6. Suppose 2 = -b*d + 5*d. Let g be d + -1 + 21/7. Let z(h) = -3*h**2 - 14*h - 3. Determine g*z(u) + 8*n(u). -u**2 - 2*u - 1 Let k(n) = 12*n**2 + 2*n - 2. Let r(b) = b**2 + b - 1. What is -k(g) + 2*r(g)? -10*g**2 Let z(j) = j**2. Let u(a) = 1 + 643*a - 6*a**2 - 641*a - 1. Determine u(c) + 5*z(c). -c**2 + 2*c Let w(d) be the first derivative of -d**2/2 - 4*d - 34. Let i(h) = -5*h. Suppose s = -s - 4. Let r be i(s). Let y(k) = -2*k - 7. Give r*w(b) - 6*y(b). 2*b + 2 Let r(s) = -44*s + 21*s + 24*s - 4*s**2. Let b be 10/(-4)*(-2)/(-1). Let j(o) = 5*o**2 - o. Calculate b*j(v) - 6*r(v). -v**2 - v Let k(g) = 13*g + 6. Let y(z) = -4*z - 2. Calculate 6*k(s) + 17*y(s). 10*s + 2 Let k(u) = 4*u**2 + 4. Let a(f) = -6*f**2 - 6. Suppose 20 = 5*r - 0*r. Suppose -5*o - 5 = -r*o. What is o*a(q) - 8*k(q)? -2*q**2 - 2 Let s(k) = 3*k**2 - 4*k + 6. Let y(b) be the third derivative of b**5/12 - 7*b**4/24 + 11*b**3/6 - 58*b**2. What is 11*s(j) - 6*y(j)? 3*j**2 - 2*j Let y(f) = -5*f**3 - 4*f - 2. Let z(c) = -3 + 2*c + 11*c**3 + 8 + 7*c. Give -9*y(i) - 4*z(i). i**3 - 2 Let u(o) = -5*o - 16. Let d(h) = -2*h + 2*h + 3 + 5*h - 4*h. Calculate -11*d(v) - 2*u(v). -v - 1 Let q(y) = -3*y**3 + 43*y**2 - 5. Let x(o) = -o**3 + 21*o**2 - 2. Calculate 2*q(r) - 5*x(r). -r**3 - 19*r**2 Let d(b) = b**2 + 4*b + 12. Let w(h) = -2*h**2 - 7*h - 24. What is 7*d(k) + 4*w(k)? -k**2 - 12 Let w(m) = 10*m**2 + 2*m - 5. Let f(t) = -t**2 - t. Suppose 0 = -4*s + 1 + 3. Let h(x) = s*w(x) + 4*f(x). Let o(y) = -5*y**2 + y + 4. Give -3*h(p) - 4*o(p). 2*p**2 + 2*p - 1 Let b(v) = -4*v**2 - 3*v. Let m(n) = -5*n**2 - 3*n. Calculate 3*b(h) - 2*m(h). -2*h**2 - 3*h Let d(q) = -8*q + 1. Suppose 2*h + 4*a = -22, 2 - 24 = -3*h + 5*a. Let j(t) be the second derivative of t**3/6 + 2*t. What is h*d(z) - 6*j(z)? 2*z - 1 Let b(t) = 6*t**3 + 5*t**2 - 5*t. Let a(y) = -y**3 - y**2 + y. Suppose -156 = -0*z + 2*z. Let j be 3/(-12) - z/(-8). Calculate j*a(v) - 2*b(v). -2*v**3 Let y(b) = 50*b**3. Let i(j) = -j**3. Calculate -60*i(k) - y(k). 10*k**3 Let m(s) = 1. Let l(v) = -10*v + v + 8*v - 1. Let w = -6 - -5. Let t = 1 + -3. Determine t*m(z) + w*l(z). z - 1 Let j(g) = -2*g**2 + 3*g. Let v(a) = 4*a**2 - 5*a. Suppose -15 = 4*d - 5*t + 27, -5*d = -5*t + 50. Let b be (d/(-6))/(10/(-30)). Determine b*v(i) - 7*j(i). -2*i**2 - i Let s(a) = -5*a + 8 + 0*a + 4 - 13. Let l(w) = -6*w - 2. Suppose 0 = -r + 1 + 4. Let n(o) = -13*o - 4. Let g(c) = r*l(c) - 3*n(c). Calculate -3*g(d) - 5*s(d). -2*d - 1 Let l(v) = 3*v**3 + 4*v**2 + 5*v + 7. Let q(k) = 5*k**3 + 6*k**2 + 8*k + 11. What is 8*l(r) - 5*q(r)? -r**3 + 2*r**2 + 1 Let m(j) = -7*j - 5. Let y be 99/12 - (-2)/(-8). Let v(a) = -10*a + 5 + 5*a - y*a - 14. Give 11*m(i) - 6*v(i). i - 1 Let b(y) = -y. Let a(w) = w**2 + 6*w. Give -5*a(m) - 30*b(m). -5*m**2 Let f(j) = -3*j**2. Let r(v) = 3*v**2. Let d be -4 + 8/12*12. Give d*f(w) + 5*r(w). 3*w**2 Let d(n) = 9*n + 7. Suppose 4*f + 3*i - i + 10 = 0, 2*f - i = -7. Let s(k) = -4*k - 3. Give f*d(w) - 7*s(w). w Let h(r) = 27*r - 27. Let c(m) = -1. Calculate 27*c(v) - h(v). -27*v Let x(h) be the second derivative of -h**5/4 - h**4/2 - 7*h**3/6 - h**2/2 + 9*h. Let p(s) = 6*s**3 + 7*s**2 + 8*s + 1. Calculate -6*p(i) - 7*x(i). -i**3 + i + 1 Let g(u) = -u**3 - u + 1. Let y(o) = o**3 - o + 1. Let k(b) = b - 1. Let r be k(0). Calculate r*g(n) + y(n). 2*n**3 Let x be 0 - ((-70)/(-21))/(4/(-6)). Let t(l) = -3*l + 1. Let c(f) = -f**2 + 6*f - 2. Determine x*t(n) + 2*c(n). -2*n**2 - 3*n + 1 Let z(c) = 15*c + 11. Let f(g) = -7*g - 5. Suppose 3*m - 4*o + 9 = -50, 0 = 3*o - 15. Calculate m*f(t) - 6*z(t). t - 1 Let d(t) = t + 1. Suppose 0*g = 5*g - 20. Let z(q) = q + 1. What is g*d(m) - 5*z(m)? -m - 1 Let h(f) = 2*f - 2. Let k(t) = -3*t + 3. Suppose 3*q - 28 = q. Suppose -s + 2*s + 2 = -2*a, 0 = -2*a - 5*s + q. Calculate a*k(x) - 5*h(x). -x + 1 Let q(s) = -2*s**2 - 4*s + 2 + 0 + 0. Let j(u) = -7*u**2 - 15*u + 7. Give -6*j(o) + 22*q(o). -2*o**2 + 2*o + 2 Let w(r) = -2*r - 2. Let u(y) = y + 1. Suppose 18 = -0*q + 2*q. Suppose 0 = -d + q. Give d*u(g) + 4*w(g). g + 1 Suppose -3*g = -7*g + 20. Let k(p) = -p. Let d(l) = l**2 - 5*l. Give g*k(n) - d(n). -n**2 Let h(a) = -a**3 - a**2 - 3*a + 1. Let n(f) = 4*f**3 + 4*f**2 + 14*f - 4. Determine -14*h(r) - 3*n(r). 2*r**3 + 2*r**2 - 2 Let a(u) = 2*u**2 + 17*u + 1. Let v(l) = -3*l**2 - 18*l - 1. What is -4*a(x) - 3*v(x)? x**2 - 14*x - 1 Let w(z) = -45*z**2 - 6*z - 6. Let d(h) = -89*h**2 - 11*h - 11. What is 6*d(p) - 11*w(p)? -39*p**2 Let w(u) = -u - 4. Let m be w(7). Let l(x) = -10*x**2 - 4*x - 1. Let k(v) = -2*v**2 - v. Determine m*k(h) + 2*l(h). 2*h**2 + 3*h - 2 Let h(c) = 4*c - 2. Let a(x) be the third derivative of -17*x**4/24 + 3*x**3/2 - 3*x**2. What is 2*a(b) + 9*h(b)? 2*b Let r(y) = -y. Let h = 5 - 3. Let q(k) = 10*k. Let o(w) = -3*w. Let m(j) = 14*o(j) + 4*q(j). Give h*r(g) - 2*m(g). 2*g Let z(t) = -3*t - 2. Let r(k) = -19*k - 13. Let q(n) = 6*r(n) - 39*z(n). Let y(s) = s. Determine -6*q(w) + 21*y(w). 3*w Let t(n) = 6*n + 2. Let q be (-23 + 13)*1*2/4. Let d(x) = -7*x - 2. Calculate q*d(w) - 6*t(w). -w - 2 Let i(d) = 2*d**2
{ "pile_set_name": "DM Mathematics" }
-s + 2*k = 4*s - 14 for s. -2 Solve 4*i = -11*q - 62 - 118, 5*i - 5*i + 44 + 92 = -4*i for q. -4 Solve -6*a + 75 = -5*d, 3*d - 5*d + 7*a = 2*d + 71 for d. -9 Solve 20*p + 66 = -2*j - j, -5*p + 2202*j - 13 = 2201*j for p. -3 Solve -5*b + 2*w - 12 = 5*w, 5*b = -5*w - 887 + 877 for b. -3 Solve -t + 24 = 12*r, -362*r = 4*t - 361*r - 2 for t. 0 Solve 5*u - 7*u + 5634 = 5552, -3*b + 8*u - 237 = -0*b + 2*u for b. 3 Solve -5*f - 50 = 6*o - 2*o + o, -17*o = 6*f - 6*f - 8*o for f. -10 Solve 1 = l - 3*j, 0 = -2*l - 3*j + 350965 - 350990 for l. -8 Solve 5*c = 14*k + 41, -6*c + 4*k = -70148 + 70150 for c. -3 Solve -2*m - 7 = 76*s - 73*s, 3*s - m = -10 for s. -3 Solve 4*b = 4*z + 52, 126737*z - 126735*z = b - 16 for z. -3 Solve -7*i = 2*m - 187, -16247*m + 16250*m - 186 = -7*i for i. 27 Solve 19094*y - 77 = 19061*y + p + 34, -4*y - 5*p - 48 = -0*p for y. 3 Solve 2*h - 30 - 47 = -14*f + 57, -2*f - 118 = -2*h for h. 60 Solve -275 = -n - 5*m, 3*n = -3682*m + 3679*m + 153 for n. -5 Solve -31*y = 34*y - 60*y - 2*o + 24 + 2, 3 = -o + 1 for y. -6 Solve -93*h + 8*i + 11 = -88*h - 4, -5*i - 35 = 2*h for h. -5 Solve -2*b - 17 - 11 = w, 0 = 5*w - 8934*b + 8933*b - 14 for w. 0 Solve 2*f + 76 + 74 = 3*f + 2*r + 160, 0 = 12*f - 4*r + 92 for f. -8 Solve 0 = -86*s + 84*s + 4*g, 10 = 2*g + 2 - 4 + 2 for s. 10 Solve -6*a - 4*h = 4*a - 367 - 203, 0 = 4*a - 2*a + 5*h - 135 for a. 55 Solve 0 = -4*q - 4*z + 48, 5*q + 102*z - 196*z - 70 = -100*z for q. 2 Solve u - 62*a - 7*a = -2832, 4*u - 8*a + 0*a - 70 = -10*a for u. -3 Solve 1474*x = 1470*x + 52, 0 = 2*a - 2*x + 26 for a. 0 Solve 0 = 19*t - 2*s + 76 + 15, -5*t - 51 = -4*t - 5*s - 56 for t. -5 Solve 5*q = 4019*s - 4018*s + 2, -4*q + 58 = -29*s for q. 0 Solve 2*m - y - 16 = 3, 15*y + 159 = -3*m + 6 for m. 4 Solve -5*v - 418 = -293, -2*q - 119 = 5*v for q. 3 Solve -6046*n + 6042*n + 5*h = 4*h - 5, -5*h = -6*n - 3 for n. 2 Solve -4*v = 42*j + 210, 3*v + j + 342 = 337 for v. 0 Solve -6*a = -4*a - 6*m - 34, -m - 29 = -20*a + 18*a for a. 14 Solve -378*n + 375*n + 2*d + 26 = 0, 12*d + 80 = -n + 21*d - 13*d for n. -4 Solve 9*s - 3*a + 137 - 360 = -34*s + 290, -97*s + 67*s = -a - 359 for s. 12 Solve 4*w - 2*s - 6 = 0, 2000*s - 1992*s = -w + 44 for w. 4 Solve -3694 = 2*h - 3712, -2*s + 3*h = -7*s + 37 for s. 2 Solve -4*z - 1577 + 1660 = 13*m, -38 = 2*m - 4*z for m. 3 Solve 0 = 2810*s - 2806*s - 117*x - 93, -4*s = -x + 23 for s. -6 Solve 293*q + 36 - 1264 = -3*u, 2*u + 194 = q + 31 for q. 5 Solve 5*s = -2*m - 7, 2*m + 2*s + 6*s - 25 = -23 for m. -11 Solve -3*l = 11*r + 56, 3*r + 101*l - 17 = 105*l + 146 for r. 5 Solve -25*u = -29*u + 2*x - 34, 11 = 2*u + x + 2 for u. -2 Solve -4*b - 257*q = -267*q + 72, -2*b - 5*q - 16 = 0 for b. -13 Solve -124*i + 123*i = -t + 6, 0 = -3*t - 7*i - 92 for t. -5 Solve a - 2*k + 2 = 0, 3*a - 3*k + 4*k + 2 + 2 + 16 = 0 for a. -6 Solve -5*s + 5*g = -45, -25*s - 10672*g = -10676*g - 225 for s. 9 Solve 13*g = y + 5*g + 77, -73*y + 27*y = 3*g + 203 for y. -5 Solve -4 = 4*s + 687*j - 691*j, -31*s - j = 2*j + 201 for s. -6 Solve 8*n - 65 = 5*n - 3*h - 53 + 30, h - 2 = 0 for n. 12 Solve -32*x - 26*x - 130 = -54*x + 2*s, 6*s = -30 for x. -30 Solve 2*y - 6 = 5*y + 3*q, 716*q - 181 = 507*q + 564 + 509 for y. -8 Solve -26*u - 14 = -13*u - 11*u, 6 = -4*q + u + 1 for q. -3 Solve -16*f = -11*f - 15, 5*w - 5940*f + 13 = -5939*f for w. -2 Solve 4*x + 2*t + 0 = 32, 4*t - 16 = 98*x - 94*x for x. 4 Solve 3*x - 1042 = -34*b, -5*x + x + 66 = -5*x + 2*b for x. -4 Solve 4394*w - 4399*w - a = 2*a + 140, 11*w - 2*a = -265 for w. -25 Solve 0 = 4*b - 2*w - 44, -3351*b + 3349*b + 26 = -2*w for b. 9 Solve 4*t = 63*d + 15, 6*t - d - 1 - 97 = 14*t + d for t. -12 Solve 0 = x - 3*z - 9, -25702*z - 3321 = -369*x - 25705*z for x. 9 Solve m + 3*o = 116, m - 2550*o - 23 = -2549*o - 67 for m. -4 Solve -4*k + 2*h + 0*h - 36 = -2*h, 0 = -23*k - h - 111 for k. -5 Solve -o + 16*w - 38 = 12*w, 3*w = 3*o + 7*w - 46 for o. 2 Solve 4*h - 6*z - 8*z + 16 - 9 = -71, -h - 2*z = -8 for h. -2 Solve -w - 182 = -9*q, -5*q + 96 = -16971*w + 16973*w for q. 20 Solve -14*o = 52*k + 35*k - 87*k - 42, 56 = -5*k + 2*o for k. -10 Solve w = u - 23, 1445*u - 39 + 91 = w + 1447*u for w. 2 Solve 0 = -2*z + 27*l - 111, z - 43 + 83 - 22 = l for z. -15 Solve 3*b + 33 = 5*f - 20, -12*b - 2 = 5114*f - 5113*f for b. -1 Solve 4*w + 25 = 5*r, -833*w + 835*w - 19 = -r for w. 5 Solve -3*i - 15 = 3*z, -31 = 1426*i - 1421*i + z - 1 - 1 for i. -6 Solve q + 11 = -23217712*x + 23217716*x, -2*q - 4*x = -14 for q. 1 Solve 2*a - 2*c - 98 = -7*a - 8*a - a - 100, -3*a - 3*c - 57 = 0 for a. -2 Solve -2*l + 5*m = 80 + 100, -1262*m + 57 = -1267*m + 247 for l. 5 Solve -5*i - 27*q + 57*q - 32 = 26*q, -4*i - 22 = -20*q + 15*q for i. -8 Solve 3*n - 2*n - 28 = -a, 390 + 568 = 2*n + 5*a + 824 for n. 2 Solve 25*m - 45*m + 2*n = -130, -2*n = 2*m - 24 for m. 7 Solve -22*u - 2*s + 10 = 14*u - 36*u, 2*u - 12*s + 37 = -185 for u. -81 Solve 4*f = -2*y - 5145 + 5093, -2*y - 34 = -5*f for f. -2 Solve -5*q + 4*d + 107 = 0, -2*d = -13*q + 14201 - 14158 for q. -1 Solve -s + 20 = 20*o - 6*s, -2101*o + 2099*o = 4*s + 16 for o. 0 Solve 2*k = -6*a + 50, 25 = 348*a + 361*a + 348*a - 1052*a + 5*k for a. 10 Solve 2*h - 767*k + 769*k = 36, 3*h + k = 48 for h. 15 Solve 2*x = 5*g - 690 + 779, 7*x = -3*g - 78 for g. -19 Solve 3*t = x - 0*t + 20, -7174*x + 7179*x - 4*t = -56 for x. -8 Solve 6821*k - 6824*k = y - 13, 3*k - 17 = -5*y for k. 4 Solve -71*g = 9*r + 258, 4468*g = 4465*g + 5*r + 16 for g. -3 Solve 5*j + 2*a - 2087 - 2095 + 6279 = 2080, 0*j - a - 21 = 5*j for j. -5 Solve 3*g = -3992*q + 3987*q + 85, -3*q + 51 = -3*g for g. 0 Solve -z - 770 = n - 766, 5*n - 10 = 5*z for n. -1 Solve 192*k - 164 = -5*n - 189*k + 378*k, 2*n - 200 = -4*k for n. 4 Solve 5*r - 4*c = -19, -5*r + 43 = -13*c + 145 - 119 for r. -7 Solve 2*z = t + 933 - 727, 4*t - 7*t + 3*z + 155 = 464 for t. 0 Solve 183*h - 27*g + 25*g = -161, 2*h - 97*g = -94*g + 31 for h. -1 Solve 4*p + 10*z - 13*z = -182, z + 2*z = -3*p + 147 for p. -5 Solve -j + 2*t = 3*j - 74, 5*t - 6 + 18 = 7 for j. 18 Solve 71*u - a = 4122, 58*u - 53*u - 4*a = 306 for u. 58 Solve -b = g - 10, -4*b = -736*g + 735*g + 15 for b. -1 Solve -198 = 9*s + 5*k + 163 - 387, s - 3*k + 22 = 0 for s. -1 Solve 19 = -3*b + 7*y - 5*y, -10*y + 9*y = 11*b + 26 - 23 for b. -1 Solve 0 = 5*t - 2*c - 183876 + 183892, -6*t = -6*c + 30 for t. -2 Solve -11 = -2*i + 3*g, -22*i + 18*i = -51*g + 6*g - 210 + 71 for i. 1 Solve 676*y - 672*y = 10*v + 2, 45*v - 49*v = 3*y - 13 for y. 3 Solve 98 = -12*w + 17*w - 5*a + 33, -4*w + 51 = -3*a for w. 12 Solve -z = 6*d - d + 149 - 151, -d - 70 = -3*z for z. 22 Solve 75 = 5*u + 4*x, 0 = u - 1550*x + 1554*x - 31 for u. 11 Solve -3*o + 7 = -109*r + 107*r + 30, 13*r = 5*o + 48 for r. 1 Solve -4*j = 2*t, 13135*t - 13136*t = 4*j - 2 for j. 1 Solve -426974 + 426980 = 3*t + 6*j, -t - 3*j + 1 = 0 for t. 4 Solve 131*b - 130*b = t + 21, 3*b = -b + 3*t + 84 for b. 21 Solve -20*s = y - 8, -6*y + 7*s = -8*y + 5*s + 5*s - 70 for y. -32 Solve 0 = 4*n - 2*o + 8, -38*n + 35*n - 418 = -53*o for n. 2 Solve n = -c - 1619 + 1604, -c = 5*n + 87 for n. -18 Solve -4*w = 5*m + 19, 4*w + 2*m + 991638 = 991616 for w. -6 Solve 97 = -4*w + p, 3*w - 58*p = 125*p - 188*p - 90 for w. -25 Solve 4*h + 78 = -7*r + r, -4*h + 150*r = 145*r - 94 + 51 for h. -3 Solve 0 = -4*d + 3*v - 58, -2400*v - 26 = -11*d - 2405*v for d. -4 Solve 230 = -4*l + 2*c, -2*c - 656 + 776 = -2*l for l. -55 Solve 36*u - 170*m + 660 = -83*m - 90*m, -2*u - 8*m - 68 = 0 for u. -18 Solve -343*m = -339*m + 3*i + 16, i = -40*m - 44 for m. -1 Solve -7*m + 182 = -5*k, -4449*k + 4454*k + 78 = 3*m for m. 26 Solve -3*z - 23 = 4*c, z + 2799217*c + 33 = 2799203*c for z. -5 Solve -2*a - 932*j + 465*j = -470*j - 107, -2*a + j = -97 for a. 46 Solve -6*f + 17 = -7*f - 2*i - 2*i, -4*f + 61 = -14*i - 13*i for f. -5 Solve -53 + 335 = -2*g - 10*x, 0*g + 2*g + 9*x + 198 = 2*x for g. -1 Solve -27*p - 26*p - 5*c = 28*p - 23*p + 315, -4*c = 2*p + 30 for p. -5 Solve z + 43 = 9*p, 5*p = -13*z + 3*p + 30 + 6 for z. 2 Solve -a - 5*m = 56, 13*a + 13*a + 5*m = -0*a + 44 for a. 4 Solve 2*z + 79*c = 80*c - 4, 24*z = c - 26 for z. -1 Solve -134 = -2*i + 4251*a - 4248*a, 91 = 3*i - 2*a for i. 1 Solve 3*l - 6*l + 21*w - 134 = 5*w, 3*w - 18 = l - 4*l for l. -2 Solve 10
{ "pile_set_name": "DM Mathematics" }
n, 1, 5, 26 Let i be -42 + 48 - (10 - 2). Suppose 5*h - d = -14, -5*h - 18 = -0*d - 2*d. Let m be (0 + h - -5) + i. Put 3, -3, m in ascending order. -3, m, 3 Let v = -322.04 - -321.64. Sort 74, -0.07, -3, v. -3, v, -0.07, 74 Suppose 54*c - 50*c = 4*k - 12, 4*c = -16. Sort 0, k, -5, 24. -5, k, 0, 24 Let c = 2241 - 15689/7. Put c, -0.05, 0.2 in descending order. 0.2, -0.05, c Suppose 534*p = 4820 + 792 + 3466. Let m be ((-2)/(-3))/((-20)/18). Put -2/11, m, p in ascending order. m, -2/11, p Suppose -6*p + 51 = 75. Let m(c) = 19*c + 74. Let l be m(p). Put l, 0, 31 in increasing order. l, 0, 31 Let o be (-3)/(-6)*(-2 - -2). Suppose o = 13*d - 9*d. Suppose -3*x = -15, -3*a - a + 3*x - 15 = d. Put a, 0.1, -2, -3 in decreasing order. 0.1, a, -2, -3 Let u = -0.174 - 23.576. Let k = u + 2.75. Sort 8, k, 0 in increasing order. k, 0, 8 Let l = 67 - 43. Suppose -w = l - 25. Put 36, -2, w in descending order. 36, w, -2 Let q = 3443/5 + -688. Sort q, -3, -3/5 in decreasing order. q, -3/5, -3 Let t = 28 + -6. Let c = 17 - t. Let q = -0.206 - 1.794. Sort q, c, -2/17 in descending order. -2/17, q, c Let m be (3/(-2))/(7/14). Let h be (22 - 27) + 69/12 + -1. Sort h, 1/3, 0.5, m. m, h, 1/3, 0.5 Let u = -78 + 78. Let l = 45/154 + -4/11. Sort 2/19, -1/10, u, l. -1/10, l, u, 2/19 Let s = -11 + 8. Let a = 17893 + -17888. Sort s, 1, 2, a in increasing order. s, 1, 2, a Suppose 63*u - 79*u + 144 = 0. Let h be (-44)/11 + 0 + 5. Sort h, u, 2, 3 in increasing order. h, 2, 3, u Let a be 2/(-1 + -1) + -2. Let b(r) = -92*r - 2488. Let w be b(-27). Sort -9, a, w in decreasing order. a, w, -9 Let h = 3.16 + -6.16. Let o(n) = n**3 + 4*n**2 - 2*n - 1. Let s be o(-2). Let v = -2.13 + 1.83. Sort s, h, v in descending order. s, v, h Let f(z) be the third derivative of -2*z**2 + 0 - 1/15*z**5 + 1/12*z**4 + 1/2*z**3 + 0*z - 1/120*z**6. Let o be f(-4). Put o, -4, -1, -2 in increasing order. o, -4, -2, -1 Let w = -43 + 38. Suppose 3*z + 2*z = -45. Let a = z + 8. Put w, -2, a in descending order. a, -2, w Let m = -32344 + 32349. Sort -11, -1, 2, -4, m. -11, -4, -1, 2, m Let l = 0.19137 + 73.80863. Sort 2, -1, -4, l. -4, -1, 2, l Let x be (260/(-39))/(-10) + (-4 - -3). Put -2/3, 3.75, x, 0, 3 in decreasing order. 3.75, 3, 0, x, -2/3 Let j = 2.2 - 3.3. Let z = 333036 - 333038. Sort -5, z, 0.3, j in ascending order. -5, z, j, 0.3 Let v = -0.6 + 0.1. Let n be -18*(-3 + (-66)/(-9)). Let f be -10*(-3)/(-2)*n/234. Sort -3, 1/7, f, v. -3, v, 1/7, f Suppose 23 - 33 = 2*m. Let k = -1.1 + 0.6. Sort m, k, -10. -10, m, k Suppose -564*m + 546*m - 90 = 0. Put 2, 1, m, 14 in ascending order. m, 1, 2, 14 Suppose 228 - 735 = -w. Suppose w = -13*u + 520. Sort u, 75, 4 in decreasing order. 75, 4, u Let j = -0.151 - 2.849. Let c = 33.87 + 0.13. Let w = c - 34.5. Sort w, j, 3 in decreasing order. 3, w, j Let m = -20.4 + 32. Let o = 10.6 - m. Let s(n) = -4*n - 20. Let j be s(-5). Sort j, o, -0.1, -2/5 in descending order. j, -0.1, -2/5, o Let u = 7826/5 + -1565. Put 3/8, 1, u, 0 in decreasing order. 1, 3/8, u, 0 Let c = 107/10 - 56/5. Let t = 31 - 13. Sort t, 0.1, -0.2, c in descending order. t, 0.1, -0.2, c Let g = 0.1 - -0.1. Let x = 413 - 426. Let m be x/26*-16*2/36. Sort m, g, -3/7, 0.5 in decreasing order. 0.5, m, g, -3/7 Let k(c) = -2*c + 29. Let n(f) = f - 14. Suppose 6*m - m = 30. Let d(b) = m*k(b) + 13*n(b). Let i be d(10). Sort -3, 4, i in increasing order. -3, i, 4 Let j = 206019/2054 - 1304/13. Put j, -3, 1/8 in decreasing order. 1/8, j, -3 Suppose 24 = -3*i - y, -45*y - 5 = -i - 41*y. Sort -10, i, -4, -1, 5 in increasing order. -10, i, -4, -1, 5 Suppose 5 + 13 = 3*a. Let q = -0.3869 + -252.9131. Let y = q + 253. Sort y, 0.1, a. y, 0.1, a Let g = 1731.5 + -1733. Sort -1/6, 4, g, 1/4. g, -1/6, 1/4, 4 Let k = -8982 - -8984. Sort -3, k, -0.3, 4, -37 in decreasing order. 4, k, -0.3, -3, -37 Let k = -2902 - -2965. Sort -4, -5, k in increasing order. -5, -4, k Let a = -0.46 - -0.535. Let f = 87.925 + a. Put 0.2, 3, f in ascending order. 0.2, 3, f Let g(k) = 4*k + 15. Suppose -8 = -5*p - 33. Let n be g(p). Let l = -13 - n. Sort -5, -2, l in descending order. -2, -5, l Suppose 4*p - 20 = 0, -5*g + p - 3*p = -5. Let y be 1 - -1 - (2 + 1). Let z(h) = 6*h**3 + h**2 - 3*h - 3. Let j be z(y). Put j, g, 4, 5 in increasing order. j, g, 4, 5 Let b = 18902 + -18159. Put 5, 4, b in ascending order. 4, 5, b Let b = 1208 + -1208.1. Sort -4/5, 0.059, b in descending order. 0.059, b, -4/5 Let n be (-2)/(-14) - (-207)/21. Suppose 9*a - n = -73. Let x = 26 + -21. Put 4, a, x in ascending order. a, 4, x Suppose 4*r = -g - 8894 - 2244, 4*g + 5*r = -44497. Let j be g/2725 + 2/25. Suppose -d + 3*d + 2 = 0. Sort j, -9, d. -9, j, d Let r = -3403 - -3405. Let x = 0.054 - -0.046. Put -0.1, x, r in ascending order. -0.1, x, r Suppose -s - 16 = -3*t, -4*t = -2*s - 0 - 20. Suppose -t*i - 11 + 11 = 0. Suppose a + 20 = -3*a. Put 4, i, a in increasing order. a, i, 4 Let j be (8 + 3)*(-316)/(-869). Sort 91, 3, -12, j in descending order. 91, j, 3, -12 Let q be 54/(-4)*(-464)/696. Put -8, 1, q, 3 in decreasing order. q, 3, 1, -8 Let m(o) = 2*o**2 - 20*o - 5. Let f be m(6). Let r = -58 - f. Let q be (-5 + 4)/(1 - 0). Put q, 2, r in descending order. 2, q, r Suppose 0 = 4*w + t - 24, 3*t = 2*t + 4. Suppose -w*m - 2*f = -15, -2*m - m - 5*f = 10. Let i = 6735 - 6731. Put i, m, 8 in ascending order. i, m, 8 Let n = -117.2 - -116.5. Sort -3, 57/5, n. -3, n, 57/5 Let m be (-9)/(405/10)*(-6)/4. Let b be ((-14)/231)/(7/(-21)). Sort 2, m, b in descending order. 2, m, b Let l be (-40)/(-220) + (-13482)/(-22). Sort -1, l, -0.3 in increasing order. -1, -0.3, l Let z = -364 - -156. Let y = -1454/7 - z. Let w = -2.6 + 3. Put -2, w, y, -0.3 in increasing order. -2, -0.3, y, w Let k = 0.294 + 0.006. Let r = 4525/6 - 754. Let v(u) = u + 6. Let b be v(-6). Put r, k, b, -4 in increasing order. -4, b, r, k Suppose 52*m + 84 = 46*m. Let p be ((-4)/m)/(2/7) - 5. Let q(s) = -s**2 + 5*s + 5. Let j be q(5). Put -5, j, p, 3 in decreasing order. j, 3, p, -5 Let k = -43 - -61. Let n = 95 - 86. Let t be (-15)/10*30/n. Put k, 5, t in descending order. k, 5, t Let y be -1 + 1*(-288)/(-4) + 0. Suppose 19*p - y = -14. Let a(c) = c**2 + 4*c - 3. Let x be a(-5). Sort 8, p, x. x, p, 8 Let d = 2 - -1. Let l(n) = n**3 - 7*n**2 - 9*n + 3. Let p be l(8). Suppose -77 + 5 = 12*f. Put -3, p, f, d in decreasing order. d, -3, p, f Let h = -0.49 + 14.19. Let u = -13 + 27. Let l = u - h. Sort -0.01, 5, l in descending order. 5, l, -0.01 Let n(g) = 28*g + 255. Let m be n(-9). Suppose -2*c + m*d + 11 = 0, 3*c + 4*d = -11 - 15. Sort -37, -5, c in ascending order. -37, -5, c Suppose -5*f = 10, -7*q + 5*f = -3*q - 18. Suppose 4*i = 8*i. Suppose 96*t - 101*t - 15 = i. Sort 5, t, q. t, q, 5 Suppose 2*z + 21 = -3*z + 4*j, -5*z - j - 26 = 0. Put z, -1, -41, 1/5 in decreasing order. 1/5, -1, z, -41 Let x = 13.68 - -0.32. Let z = 11 - x. Let s = 199 - 199.1. Sort z, -4/3, s in descending order. s, -4/3, z Suppose -1016 - 709 = -345*w. Sort 14, -4, w, -1/7, 0.5. -4, -1/7, 0.5, w, 14 Let n(y) = -y**3 + 5*y**2 - 21*y + 14. Let o be n(4). Let u be 222/o + (175/(-45) - -4). Put 0, 13, -3, u in ascending order. u, -3, 0, 13 Let a be (-4 - -7)/(19/((-760)/(-30))). Put a, -23, -10, 2, -1 in descending order. a, 2, -1, -10, -23 Let j = 988 - 987.6. Sort -46/9, j, -0.1, 0. -46/9, -0.1, 0, j Let y be (-8 - -11 - 143)*(29/(-2) + 3). Sort 0, 3, y in decreasing order. y, 3, 0 Let y = 26 + -26. Suppose u + 2 = 3*m, -5*u + y*u + 18 = -m. Suppose u*r - 3*j + 40 = 0, -r - 3*r - j = 40. Sort -4, -5, r in descending order. -4, -5, r Let a be -1 - (14 - -1 - 6)/(-5). Put 0.12, -2, -0.4, 18, a in decreasing order. 18, a, 0.12, -0.4, -2 Suppose 2*h = q + h + 4, 0 = 3*q + 2*h + 2. Suppose 610*b - 612*b = -2. Suppose 0*a - 3 = 2*a + s, -a + 1 = -2*s. Sort b, q, -5, a in ascending order. -5, q, a, b Let x(u) = 2*u**3 + 4*u**2 + 3*u + 1. Let b be x(-2). Let g = -66422 + 66433. Put g, b, 0 in descending order. g, 0, b Let i be 6/4*1*(-2)/(-3). Sort 28, i, -0.02, 0.4, -3 in increasing order. -3, -0.02, 0.4, i, 28 Suppose -5*f = -c + 15, 4*f + 32 = -5*c - 9. Sort f, -3, 540 in ascending order. f, -3, 540 Let x = 0.1 - 2.1. Let k = x + -1. Let y = 926 + -924. Put k, 4/5, y in decreasing order. y, 4/5, k Suppose -t + 11
{ "pile_set_name": "DM Mathematics" }
to seven dps? 0.0000007 Let a = -62723 + -30277. Round a to the nearest ten thousand. -90000 Let b = 1.72 - 1.8. Let j = -0.15 - b. Round j to two dps. -0.07 Let t(n) be the third derivative of -5*n**4/24 + 13*n**3/6 + 6*n**2. Let v be t(15). Round v to the nearest 10. -60 Let f = -123.7 + 19.7. Let o = 103.9999943 + f. Round o to six dps. -0.000006 Let w = -86.9422037 + 86.4293. Let c = 0.4929 + w. Let s = -0.02 - c. What is s rounded to 6 dps? 0.000004 Let n be (-19)/((-1060446)/(-353481) + -3). Let a = n - -5538713. Round a to the nearest one million. 3000000 Let o = -544.04673 + 539.0822014. Let h = -0.0355464 + o. Let j = -5 - h. Round j to 5 decimal places. 0.00008 Let u = 5 + -4.9. Let r = -1231477 - -1231476.9000058. Let m = u + r. What is m rounded to six dps? 0.000006 Let k = -1432094949937.699892 + 1432097289037. Let x = -2339095 + k. Let u = -4.3 + x. Round u to 5 dps. 0.00011 Let y(h) = -10*h**2 - 4*h - 7. Let v(d) = -5*d**2 - 2*d - 4. Let p = 4 + -6. Let l(a) = p*y(a) + 5*v(a). Let c be l(-8). Round c to the nearest one hundred. -300 Let s = 64.11889 + -62.1188888. Let a = s + -2. What is a rounded to seven decimal places? 0.0000012 Let o = 1673.9622 - 1693.94. Let l = o + 20. Round l to 3 dps. 0.022 Let f = -0.037 - 6.163. Let z = -0.7 + -0.7. Let i = z + f. Round i to the nearest integer. -8 Let s = -3.69 + 3.881. Let h = 10.291 - s. Round h to the nearest integer. 10 Let y = 0.3 + -0.2. Let z = 0.22 - y. Round z to one dp. 0.1 Let z = -2.5 - 501.5. Let k = -529.1 - z. Round k to zero decimal places. -25 Let g = 1.95 - 2. Let o = -0.049999 - g. Round o to seven dps. 0.000001 Let l = -0.06 + 0.0568. Let u = l + 0. What is u rounded to 3 dps? -0.003 Let k = -0.7 - -0.5. Let r = -4911.59999 - -4911.4. Let j = k - r. Round j to 4 decimal places. 0 Let l(z) = -39*z - 8. Let m(w) = -13*w - 3. Let h(a) = -4*l(a) + 11*m(a). Let k be h(7). What is k rounded to the nearest 100? 100 Let f = -98187.1 + 131046.52. Let w = f - 32765.41857. Let r = -94 + w. Round r to four dps. 0.0014 Let x = -0.86999926 - -0.87. Round x to seven decimal places. 0.0000007 Let q = -0.0415 - 36.6585. Let p = -381734771 + 381734734.2999841. Let s = p - q. What is s rounded to 6 dps? -0.000016 Let g be 5/((-75)/(-20))*-6675. What is g rounded to the nearest one thousand? -9000 Let f = -16.04977 + -1.95002. Let w = 17.3 + 0.7. Let c = f + w. What is c rounded to four decimal places? 0.0002 Let b = -28 + 31. Suppose t = -3*t + 4704660. Suppose -t - 4823835 = -b*n. What is n rounded to the nearest one million? 2000000 Let o = -8 + 8. Suppose -3*v + 5*r = -40, o = -0*v - 5*v + 3*r + 40. Suppose -v*l - m = 51505, 4*l - 2*m = -0*m - 41190. What is l rounded to the nearest 1000? -10000 Let n = 2 - 18. Let z be n*(-2 - (-4732)/16). What is z rounded to the nearest 1000? -5000 Let d = -0.2 - 0.1. Let b = d + 0.248. What is b rounded to two dps? -0.05 Let x = 8 + -9. Let d = x + 1.15. Let n = d + 0.09. What is n rounded to one decimal place? 0.2 Let t = -24241.651 - -24069.65001. Let k = 181 + -353. Let y = k - t. What is y rounded to four decimal places? 0.001 Let l = -258 - -258.000581. Round l to four decimal places. 0.0006 Let g = 105.0122 - 105. Round g to three decimal places. 0.012 Let c = -132.7 + 11.7. Let z = -203574.943 - -203454. Let y = c - z. What is y rounded to 2 dps? -0.06 Let u = 3840 + -3906.47. Let f = -66 - u. What is f rounded to one decimal place? 0.5 Let v(g) = g**3 + 5*g**2 - 18*g - 5. Let i be v(-8). Round i to the nearest ten. -50 Let l = -0.5 - -0.4. Let y = l + 0.1. Let c = 1.6 - y. Round c to the nearest integer. 2 Let r = 44 - 45.4. What is r rounded to one decimal place? -1.4 Let d = -1342578 - -2072578. Round d to the nearest 1000000. 1000000 Let a = 7554745.200058 - 7554738. Let x = 7.2 - a. Round x to five dps. -0.00006 Let g = 59.1 - 65. Let c = -5.90000033 - g. What is c rounded to 7 decimal places? -0.0000003 Let v = -0.1511 + 7.4811. Let f = v - 1.03. Let z = f + -6.299923. Round z to 5 dps. 0.00008 Let r = 0.018 - 0.01800039. Round r to seven dps. -0.0000004 Suppose -11*n - 614 = 56586. What is n rounded to the nearest one thousand? -5000 Let i = -37 + 33.3. Let c = 0.8 - i. What is c rounded to 0 decimal places? 5 Suppose v + 93 = -99. Round v to the nearest ten. -190 Let m = 113.0392 - 113. Let z = m + -0.049. What is z rounded to 3 dps? -0.01 Let d be (4/(-3))/((-2)/27). Let j = -10 + d. Let y be 402/(-8) + 2/j. Round y to the nearest ten. -50 Suppose -5*k = 4*r + 1079347 + 280668, r + 4*k + 340012 = 0. Round r to the nearest 100000. -300000 Suppose 0*r - 4*r + 24 = 0. Suppose s - 42000000 = r*s. What is s rounded to the nearest 1000000? -8000000 Suppose 25 = -3*z - 4*l, z + 16 = -2*z + 5*l. Let b = 2 - z. Round b to the nearest ten. 10 Let u(k) = 23*k**2 - 9*k - 10. Let l be u(-15). Round l to the nearest 1000. 5000 Let v = -0.2 - -14.2. Let g = v + -13.99904. What is g rounded to 4 decimal places? 0.001 Let a = -0.836 + 0.58. Let h = a + 0.03. Round h to two decimal places. -0.23 Let o(s) = -s**2 - 15*s + 6. Let w be o(-10). Let t be 19/7 - 2/(-7). Suppose -w = -b - t*b. Round b to the nearest integer. 14 Let x = 0.02 - 2.02. Let b = x + 2.0003. What is b rounded to 3 decimal places? 0 Let g(z) = -z**3 + 3*z**2 - 1. Let l be g(2). Suppose 2*t = 5*i + 3703180 - 13303170, 6 = -l*i. Round t to the nearest 1000000. -5000000 Let b = -311440825.8918 + 311478867. Let y = 38032 - b. Let j = y - -9.1. Round j to three decimal places. -0.008 Let f be (-2)/5 - (-1162)/5. What is f rounded to the nearest ten? 230 Let b(j) = -53*j**3 - j**2. Let d be b(-2). Let i be 1/(((-9)/d)/(-3)). What is i rounded to the nearest 100? 100 Let v = -5.54 - 0.06. What is v rounded to 0 dps? -6 Suppose -2*o - 132003 = f, o - 5*f + 65991 = -2*f. What is o rounded to the nearest ten thousand? -70000 Let q(c) = -c**2 - 13*c + 4. Let w be q(-14). Let k be (-294)/(-10) + w/25. What is k rounded to the nearest ten? 30 Suppose 4*j - 220 - 280 = -y, y + 3*j - 495 = 0. What is y rounded to the nearest 100? 500 Let a be 45/(-27)*(-1260)/2. Suppose 0 = -4*p + 5*f + 2110, 5*p - 3*p - a = 5*f. What is p rounded to the nearest 100? 500 Suppose 3*g - 2*g - 122998 = 0. Let w be (-3)/6 - g/4. Let p = w + 106750. Round p to the nearest ten thousand. 80000 Let d = -4 + -4. Let h = d - -7.7. Let r = h + 0.298. Round r to two dps. 0 Let d = -138 - 66. Let o = -184.3 - d. Let v = o - 19.70233. Round v to 4 decimal places. -0.0023 Let p = -5657198162 - -8574424933. Let z = -2917226865.99999949 + p. Let s = 95 + z. What is s rounded to 7 dps? 0.0000005 Let q = -6 + 0. Let a = q + 10. Let k = -3.999995 + a. Round k to five decimal places. 0.00001 Let a = -1 + 5.5. Let w = -86.17729 - -90.677267. Let n = a - w. What is n rounded to five decimal places? 0.00002 Let v = -109.8 + 109.810128. Let b = v + -0.01. What is b rounded to 5 decimal places? 0.00013 Let q = -493.6 - -453. Round q to the nearest 10. -40 Let g = 316.0307 + -316. What is g rounded to 3 dps? 0.031 Let b = -3.4999843 - -3.5. Round b to 5 dps. 0.00002 Let l = 97.199 + -0.199. Let y = l - 96.99877. What is y rounded to 4 dps? 0.0012 Let s = 0.066 + -0.065947. Round s to 5 decimal places. 0.00005 Suppose -9 = -4*g + 7. Suppose 0 = -l - 3 + 15. Let v be 3/l - 16001/g. Round v to the nearest ten thousand. 0 Let t = 10 - 9.945. What is t rounded to 2 decimal places? 0.06 Let k = -40459 + 102459. Round k to the nearest 10000. 60000 Let m = 17 - 17.00000112. Round m to 7 decimal places. -0.0000011 Let h = 11.6 + -4.2. Let x = h + -7.98. What is x rounded to one dp? -0.6 Suppose 0 = -d + 2. Suppose -x + 2250000 = -5*y, d*x = -3*x. Round y to the nearest one hundred thousand. -500000 Suppose 2*a - 1 = 3. Let k be -21*3/(-9)*a. Suppose 5*z = -2*v - 18, 5 = -5*z - v - k. What is z rounded to the nearest 10? 0 Let y = -0.157 - -0.034. What is y rounded to 2 dps? -0.12 Let p = -27.06 - -155.36. Let i = 123 - p. Let m = -5.2937 - i. Round m to 3 decimal places. 0.006 Suppose -4*t - 12 = -4. Let c be t/3 + (-24)/(-9). Suppose -c*k - 294 = -0*k. Round k to the nearest 10. -150 Let q(i) = -i - 33256296. Let m be q(0). Let x = m + 55605759. Let j = -15849463 + x. What is j rounded to the nearest one million? 7000000 Suppose 0 = 4*
{ "pile_set_name": "DM Mathematics" }
ue Suppose 3*g = 3*w + 513, -g + 6*w - w + 187 = 0. Suppose -3*m - 5*l = -4*m + g, -3*l = 4*m - 783. Does 16 divide m? True Let d(r) = -r**3 - 11*r**2 - 10*r - 2. Let v be d(-10). Let t = v - 3. Let j(k) = -k**2 - 14*k + 2. Is 9 a factor of j(t)? False Let g(t) be the second derivative of t**5/20 - 5*t**4/12 + t**3/2 - 11*t**2/2 - 14*t. Suppose -d = 4*l - l + 4, 5*l + 25 = 2*d. Is 4 a factor of g(d)? True Let t(m) = m + 442. Does 16 divide t(-15)? False Is -90*3/(-9)*(1 + 0) a multiple of 3? True Let o be 5/(10/6) + -1. Let b(a) = -4*a - 8 + 0*a**o + 4 + 4*a**2. Is 11 a factor of b(4)? True Let n(q) = -q**3 - 8*q**2 - 7*q - 12. Let s be n(-7). Let m = 30 + s. Does 9 divide m? True Let v(g) = 7*g**2 - 2*g + 1. Let f be v(-3). Let n = f - 34. Is 11 a factor of n? False Does 16 divide (256 + 0)*10/20? True Suppose 0 = -q + 2*g + 72 - 11, 4*q = 4*g + 248. Let m be 88/33*q/2. Suppose -4*l - 4 = -m. Is 10 a factor of l? True Let z(m) = 3*m - 11*m**2 - m**3 + 2*m**3 + 7*m. Let b be z(10). Suppose -4*k + 60 = -5*i, k + i - 6 = -b. Is k a multiple of 10? True Let k = -22 - -5. Let q = 8 - k. Is q a multiple of 4? False Let p = 64 - 59. Suppose -215 = -p*x + 10. Is 9 a factor of x? True Let a(r) be the third derivative of r**6/120 - r**5/30 - r**4/8 + 2*r**3/3 - 6*r**2. Does 6 divide a(4)? True Let g be 4/(-18) - 10850/(-63). Suppose 2*t + t + 68 = 2*c, -4*c = 3*t - g. Suppose 0*y - 4*d + c = 3*y, -3*d = -3. Does 4 divide y? True Suppose -35 = 3*i + 4*l + 8, -i = 5*l + 18. Let o be i/(-4) - 5/20. Suppose 3*p + o*p = 342. Is 12 a factor of p? False Let n be 0 + 13 - (0 + 2). Let u(r) = 2 + 5*r - n + 0 - 3*r. Does 3 divide u(7)? False Let u = 6 + 14. Let g = 31 - u. Is g a multiple of 2? False Let l be (3/(-6))/(2/(-20)). Let t = -2 + l. Suppose 73 = t*z - 2*k, -k = -3*z - 0*k + 71. Does 7 divide z? False Suppose -12*k + 13*k = 938. Is k a multiple of 67? True Let b be 574/49 + 4/14. Let c = 24 + b. Is c a multiple of 16? False Let o = 151 + -69. Let j = o - 55. Is j a multiple of 14? False Let q = -13 - -21. Suppose -q*o = -3*o + 60. Let n = o + 23. Is 11 a factor of n? True Let i(w) = 45*w**3 - 2*w**2 + 3 - 18*w**3 - w + 2 - 3. Is i(1) a multiple of 26? True Let w be (21/(-6) + 3)/(2/20). Does 20 divide 1/w + (-12920)/(-100)? False Suppose 0 = p + 10*u - 14*u - 1691, 5*u = -10. Does 73 divide p? False Let s(q) = -8*q**3 - 4*q**2 - 5*q + 3. Let g be s(-3). Suppose 2*b = 4*b + 4*c - 404, -606 = -3*b + c. Suppose b + g = 5*v. Does 20 divide v? True Let b be (-2)/2 + 6/2. Suppose m = -2*x + b*m + 75, x - 3*m - 40 = 0. Suppose 5*i - x = -2. Does 2 divide i? False Let k = 3 + 2. Suppose -g = -k*s + 2*g + 260, -5*g = 0. Does 10 divide s? False Let b(l) = 8*l**2 + 3*l + 11. Let k be b(11). Suppose 4*t - 4 = k. Is 45 a factor of t? False Let y(r) = r**2 + 28*r - 9. Let s be y(11). Suppose -3*t = t - s. Is t a multiple of 15? True Let f = -107 + 367. Suppose 4*t = 3*a + 189, -15 = 5*t + 5*a - f. Is t a multiple of 13? False Is -4 + 19/((-76)/(-312)) a multiple of 25? False Let t(z) = -z**2 - 7*z + 6. Let y be t(-5). Suppose 4*m - y = -0, -d - 4*m = -19. Suppose -b = 5*a - 32, 4*b - 37 = d*a + 22. Does 7 divide b? False Suppose -5273 + 33893 = 9*r. Is r a multiple of 12? True Suppose -l + 312 = -4*j, -3*l + 1233 - 258 = j. Is 18 a factor of l? True Let y = 156 - 229. Let c = y - -115. Does 21 divide c? True Let l = -155 - -292. Suppose -3*f + o + 49 = l, -4*o - 8 = 0. Does 27 divide f/(-20) - 210/(-4)? True Let u(w) = -2*w + 21. Let k be u(-5). Suppose 3*q + p = -4*p + k, p - 3 = q. Suppose -q*b + 14 = -18. Does 16 divide b? True Let a(u) = -8*u**3 - 2*u**2 + u. Let g be a(1). Let j be (12 - 3) + 0/((-6)/(-2)). Let v = j - g. Is v a multiple of 18? True Suppose 5*s - 2*d = -6*d + 3012, -2*s + 1212 = 4*d. Is 30 a factor of s? True Is (1 - (-45)/(-6))/((-20)/40) even? False Suppose 13 = 5*h + 3*r, -5*h + 14 = r + 3. Is 8 a factor of (-3)/h*-38 + -4? False Suppose 3*h + 7*y = 3*y + 1342, -1810 = -4*h + 5*y. Is 6 a factor of h? True Let d(k) be the first derivative of -7*k**3 - 2. Let j be d(-2). Does 21 divide (11 - 11) + j/(-2)? True Let m(k) = k**2 - 10*k + 16. Let q be m(8). Let s = q + -6. Does 23 divide 276/16*(-32)/s? True Let k(i) = i + i**2 + 6 + 4*i - 4*i + 8*i. Let x be k(-9). Let f(p) = 11*p - 9. Does 19 divide f(x)? True Let z(k) = -5*k**3 - 12*k**2 - 5*k - 15. Let i(s) = -11*s**3 - 24*s**2 - 9*s - 30. Let m(g) = 4*i(g) - 9*z(g). Is m(-10) a multiple of 25? True Suppose 10 = -5*j, -3*n + 2*j + 34 = -342. Is 2 a factor of n? True Suppose 0 = 4*j - 211 - 121. Suppose -4*p - j = 141. Does 10 divide p/98 - (-200)/7? False Suppose 79*k - 154227 = -22*k. Does 4 divide k? False Suppose -21*p + 20*p = -11. Suppose 77 + p = -4*u. Is (-268)/u + 24/(-132) a multiple of 3? True Let r(o) = o**3 + 2*o**2 - 39*o + 11. Is r(7) a multiple of 18? False Let n(l) = -l**3 - l + 84. Let z(d) = -d**3 + 17*d**2 - 2*d + 34. Let y be z(17). Is n(y) a multiple of 21? True Let h(l) = 3*l. Suppose 6*d = -d + 14. Let p be h(d). Is (5/3)/(2/p) even? False Let t(r) = -2*r**3 + 27*r**2 - 21*r - 24. Is t(11) a multiple of 50? True Suppose 6 = 5*p - 0*j + 3*j, -j + 2 = -2*p. Suppose -13*u + 11*u + 120 = p. Is u a multiple of 15? True Suppose 0*o + 3*o = 1560. Suppose 5*j - 872 = -3*n, -n + o = -0*j + 3*j. Is j a multiple of 23? False Let y(t) be the third derivative of -t**6/40 - 2*t**5/15 + 5*t**4/24 + t**3 - 16*t**2. Is 12 a factor of y(-6)? True Suppose 5*k + 2*o = 5042, -4*o - 2036 = 16*k - 18*k. Is 18 a factor of k? False Let z(j) = j**3 + 23*j**2 - 111*j + 151. Is 19 a factor of z(-27)? False Suppose 0 = 9*a - 5*a. Suppose -r - 5*r - 222 = a. Is 6 a factor of (-8)/24 + r/(-3)? True Let c(i) = 2*i**2 - 2*i - 9. Let j be c(-5). Suppose -7*r = -j - 152. Is 6 a factor of r? False Suppose -2*v + 702 = -3*y, -230 = -v - y + 121. Is v a multiple of 27? True Let v(n) = n**3 - 6*n**2 - 3*n + 104. Is v(13) a multiple of 13? True Suppose 5*a + 4*t - 758 = -0*t, -292 = -2*a + 4*t. Is 6 a factor of a? True Let v = 17 + -17. Suppose 0 = -3*k - 0*k - 2*s + 76, v = k - 2*s - 36. Let l = k + 3. Does 12 divide l? False Suppose 2*y - 3*y + 5*v - 5 = 0, -5*v = -4*y + 10. Let q be (5 - y) + 1 + 1. Suppose 2*p - 6*x + 2*x = 58, 2*x - q = 0. Is 31 a factor of p? True Let l = 208 - 40. Suppose -x + l = x. Does 14 divide x? True Let u be 1 - ((-12)/(-4))/(-3). Let l(b) = 5*b**3 + 3 - 2*b**3 - b - u*b**3 - 3*b**2. Does 29 divide l(6)? False Suppose -h + 3*h = 370. Let o = h - 90. Is o a multiple of 19? True Let f be (-2 - 18/(-15))/((-3)/15). Suppose i = 6*i + q - 305, -f*i = 2*q - 250. Does 15 divide i? True Let z be (0 - (-6)/4)*2. Suppose -2*w - z - 1 = -4*d, 0 = 3*w - 5*d + 3. Suppose 4*o - 116 = w*j, 5*o = o + 2*j + 114. Is 7 a factor of o? True Let u(p) = 9*p**2 + p + 3. Suppose -2*g + 2*j = -0*j + 8, 4*j - 4 = 0. Let v be u(g). Suppose 4*k = k + v. Is k a multiple of 9? True Suppose 7*f = -3*f + 20. Is 14 a factor of (-28)/(f/6*54/(-63))? True Suppose -2*w - 29 = -169. Is 23 a factor of w? False Suppose 2322 = -13*c + 7431. Is c a multiple of 4? False Let n(s) = 2*s**2 + 16*s - 16. Let r be n(-9). Suppose u = -r*z + 130, -5*z + 349 + 165 = 4*u. Is u a multiple of 21? True Let c = -23 - -23. Suppose -4*l + f + 213 = c, 3*l + 7*f = 5*f + 168. Does 9 divide l? True Suppose -3*i - 155 = 2*s + 54, 3*i + 204 = -3*s. Let r = -27 - i. Does 10 divide r? False Let o = -108 + 70. Let i be (4 - -14 - -3)*(-56)/(-21). Let u = o + i. Does 5 divide u? False Let h(o) = o**3 + 11*o**2 - 2*o - 13. Let c be h(-11). Let y be (-1149)/(-3)*(c - 8). Is y/6 - 3/(-18) a multiple of 8? True Let b = 380 - 206. Is b a multiple of 53? False Suppose -5*o + 1645 = -5*y, o - 335 = -24*y + 19*y. Is 4 a factor of o? False Let d(p) = p**2 - 3*p - 36. Let o be d(8). Suppose o*j - 228 = 180. Does 34 divide j? True Suppose j - 4*b - 19 = 35, -5*j = -4*b - 190. Suppose -39*i + 280 = -j*i. Does 3 divide i? False Suppose -13*r + 3499 + 5601 = 0. Does 7 divide r? True Let b = -203 + 432. Does 10 divide b? False Let g = -51 - -155. Suppose y + 0*j - g = 5*j, 0 = 4*j. Is 13 a factor of y? True Let k(n) = 2*n + 9. Let d be k(-12). Does 56 divide (-24)/d + (-6)/(-15) - -169? False Let a = -16 + 27. Suppose -o = -a - 3. Suppose -2*k + 6 + o =
{ "pile_set_name": "DM Mathematics" }
2)*(-13 + 3 - 3)*(-2*g**2 + 2*g**2 - 2*g**2). 26*g**4 Expand 3 - 3 - 4*j**4 + (-5*j**3 - j**3 - 3*j**3)*(15*j + 19*j - 32*j) - 3 + 2*j**4 + 3. -20*j**4 Expand (-14*f - 17*f + 10*f)*(5 - 5 + 5*f)*(0*f + f + f). -210*f**3 Expand (-k + k + 4*k)*(1 - 1 + 2 + (1 - 3 + 0)*(1 - 5 + 3) + (-4 - 3 + 6)*(0 + 6 + 0)). -8*k Expand ((-3*j + 0*j + 2*j)*(3*j**2 - 6*j**2 + j**2) + 2*j**3 + 2*j**3 - 5*j**3)*(14*j**2 - 19*j**2 - 30*j**2). -35*j**5 Expand (4*d + 0 + 7*d + 2)*(-5*d**4 + 13*d - 13*d). -55*d**5 - 10*d**4 Expand 2*q**3 - 6*q**3 + 10*q**3 + (5 - 2 - 2)*(-6 + 6 + 4*q**3). 10*q**3 Expand 6*s**4 - 3*s**4 - s**4 + (0 + 0 - s)*(-s + s - s**3) - 5*s**4 + 4*s**4 + 4*s**4 + 15*s**4 - 28*s**4 + 15*s**4. 8*s**4 Expand ((2 + 0 - 1)*(-4*m - 2*m + 4*m) + 2*m - 3*m - 3*m)*(569*m**3 + 24*m**2 + 17*m**2 - 41*m**2). -3414*m**4 Expand (-3*h**2 + 2*h**2 + 3*h**2 + (0*h - h + 0*h)*(-5*h + 4*h - 5*h) - h**2 + 3*h**2 + 0*h**2)*(-3 + 2 + 2)*(0*h**2 + 5*h**2 - 6*h**2). -10*h**4 Expand (2*d + d + 32*d)*(-10 - 3 + 8 + (-6 + 1 + 3)*(2 - 6 + 2)) - 2 + 3 + 0 + 2*d. -33*d + 1 Expand (s + 0 + 0)*(-2650 + 321*s + 2650). 321*s**2 Expand (0 + 0 - 2*o)*(0 + 2*o + 0) - 19*o**2 + 0*o**2 - 4*o**2 + 3*o**2 - o**2 - 6*o**2 - 4 + 4 - o**2. -32*o**2 Expand (-6 + 3*r + 6 + (-r + 3*r + 0*r)*(-3 - 2 + 7) + 2*r + 0*r - 4*r)*(-4 - 4 + 5). -15*r Expand -m**5 + m**3 - m**3 + (-m**3 - m**3 + 3*m**3)*(-m**2 + 3*m**2 + 0*m**2) + 21*m**5 - 22*m**5 - 35*m**5. -35*m**5 Expand f**2 - 3*f**2 - 2*f**2 + (-5 + 10*f + 5)*(-1 + 1 + 6*f). 56*f**2 Expand 6*z**5 + 0*z**5 + 3*z**5 + (2*z**3 - z**3 + z**3)*(0*z + 0*z + z**2) - 2*z**5 - 2*z**5 - 2*z**5. 5*z**5 Expand (-2 - p + 2)*(-31 - 60 - 82). 173*p Expand (i + 2*i + 8*i)*(3 + 0 - 10) + i + 0*i + i. -75*i Expand (5*l**2 + 4*l**2 + l**2)*(-26*l + 5 - 2*l**2 + 26*l). -20*l**4 + 50*l**2 Expand (-2*z + 3*z - 2*z)*(-3*z**3 - 2*z**3 + 3*z**3)*(1218 - 1218 + 138*z). 276*z**5 Expand (-1 - 57*v - 63*v + 49*v)*(2*v - 2 + 2). -142*v**2 - 2*v Expand (6*j - 2*j - 3*j)*(-3 + 1 - 6)*(2 - 1 + 4). -40*j Expand (-18 - 15 + 35)*(1 + 2 - 5)*(-4*p**3 + 0 + 1 + 0*p**3). 16*p**3 - 4 Expand (6 - 8 + 15)*(-n + 3*n + 0*n)*(-1 + 1 + n) + 9*n**2 + 11*n**2 + n**2. 47*n**2 Expand (3*j - 5*j + 3*j)*(3*j + 3*j - 5*j) + 0*j**2 + 0*j**2 + j**2 + (-3 - 1 + 7)*(-4*j + 8*j**2 + 4*j). 26*j**2 Expand (1 - 3 + 2*n - 1)*(-7424 + 7424 - 1036*n**3). -2072*n**4 + 3108*n**3 Expand (-1 - 3 + 3)*(0 + 0 + 1)*(4 + 28 + 2)*(g**4 + 3 - 3). -34*g**4 Expand o - 4 + 0*o + 0*o - o + 0*o - 2*o + (-o + 2*o - 3*o)*(2 + 2 - 6) - 2*o - 6*o + o. -5*o - 4 Expand -u + 0*u + 0*u + (-u + 0*u + 2*u)*(-3 + 4 - 5) - 3*u + 3 - 3. -8*u Expand 2*k**4 - 3*k**4 + 0*k**4 - k**4 + 4*k**3 - 4*k**3 + (k**2 + 3*k**2 - 5*k**2)*(k**2 - 4*k + 4*k) - 3*k**2 - 2*k**4 + 3*k**2 + 42 - 42 + 2*k**2 + 14*k**4. 9*k**4 + 2*k**2 Expand (3 - 3 + 2*w**2)*(-w**3 + 3*w**2 - 3*w**2) + 13*w**5 + 36*w**3 - 36*w**3. 11*w**5 Expand (-198 + 213 - 102)*(k + 0*k + k)*(2*k**4 + 3*k**4 - 8*k**4). 522*k**5 Expand 4*q - 5*q + 0*q + 3*q + 2*q - 7*q + (1 + q - 1)*(-3 + 2 + 2) + 0*q + 0*q - 2*q - 2 - 13*q + 5*q + 9*q. -3*q - 2 Expand ((-4*h + 2*h + h)*(-5 + 4 + 2) - 2 + 2 + 8*h)*(4 - 4 + 2)*(-1 + 2 + 1). 28*h Expand (3*k**4 + k**4 - 2*k**4)*(0 + 0 - k) + 8*k**5 - 11*k**5 - 8*k**2 - 6*k**2. -5*k**5 - 14*k**2 Expand -v + 2*v - 3*v + (3 - 8 + 4)*(0 + 0 + 2*v) + (1 + 0 - 2)*(-102 + 102 + 4*v). -8*v Expand (138*s - 329*s + 164*s)*(2*s - 2*s - 2*s**3 + (s - 3*s + 3*s)*(2*s**2 + s**2 - s**2) - 3 + 3 + 2*s**3). -54*s**4 Expand 27 - 27 - 9*w**2 + (-4 + 2 - 4)*(2*w**2 + 1 - 1) + (2*w + 0*w - 4*w)*(-2*w + 2 - 2) + 0*w + 0*w + w**2 - w**2 + 7*w**2 - 4*w**2. -14*w**2 Expand (-8 + 3*n**2 - 139*n + 139*n)*(-2*n**2 + 0*n**2 + n**2 + (2 - 2 - n**2)*(-1 - 1 + 3) + n**2 + 0*n**2 - 3*n**2 + 0*n**2 - 2*n**2 + n**2). -15*n**4 + 40*n**2 Expand (70 - 228 - 222 - 315)*(-2*f**3 + 0*f**3 + 0*f**3 - 6*f). 1390*f**3 + 4170*f Expand (4 - 1 - 11 + 3 + 6 - 5 + (4 - 1 - 1)*(-3 + 3 + 2) + 4 - 1 - 1 + (0 - 2 - 1)*(-2 - 2 + 2))*(5*j**4 - j**4 - 3*j**4). 8*j**4 Expand -2*o + 1 - 1 + (4 + 0 - 5)*(o - 4*o + 2*o) - 2*o + 1 - 1 - 372 - 28*o + 372. -31*o Expand 0 - 17*n - 7 + 5 + (3 + 1 + 5)*(3*n - 4*n + 2*n). -8*n - 2 Expand (550 - 663 + 334)*(-4 + 4*s**3 + 6 - 5*s**3). -221*s**3 + 442 Expand 5*g**5 + 0*g**5 - g**5 - 12*g**5 - 4*g**5 - 8*g**5 + (3*g**4 - 3*g**4 - g**5)*(0 + 2 + 0). -22*g**5 Expand (3*b**3 - 2*b**3 - 2*b**3 + (0*b**2 + b**2 + 0*b**2)*(0 + 0 + b) + 0*b**2 + 0*b**2 + b**3 - b + 2*b**3 + b - 3 + 5*b**3 + 3)*(-b - 3*b + 2*b). -16*b**4 Expand (0 - 2 + 1)*(-l - l**2 + l) + (-3 + 2*l + 3)*(-68*l + 11*l + 152*l). 191*l**2 Expand -2*i**4 + 3*i**3 - 3*i**3 + (-51*i**3 + 38*i**3 - 3 + 0)*(1 - 1 - 4*i) - 4*i**3 + i**4 + 4*i**3. 51*i**4 + 12*i Expand (-3*r**2 - r**2 - 7*r**2)*(1 - r**2 - 1). 11*r**4 Expand (-198*z - 8*z**2 - 2*z**2 + 17*z**2 - 4*z**2)*(-2*z**3 + 6*z**3 - 3*z**3). 3*z**5 - 198*z**4 Expand -h**4 + 0*h**4 - 5*h**4 + 2*h**4 - 3*h**4 - h**4 + (h + 1 - 1)*(-6*h**3 + 7*h**2 - 7*h**2). -14*h**4 Expand -7*z**4 + 19*z**4 - 2*z**4 + 8*z**4 + (32 - 11 - 7)*(0*z + 0*z - 2*z**4). -10*z**4 Expand (-3 - 3 + 5)*(5*v**2 + 6*v**2 - 8*v**2). -3*v**2 Expand 4*w**5 - w**5 - 2*w**5 + (-3 - 3 + 2)*(0*w + 2*w**5 + 0*w) + 16*w**5 + 14 - 14 + (-3*w**3 + 3*w**3 - w**3)*(0*w**2 + w**2 + 0*w**2). 8*w**5 Expand (-2 + 2 - g + (-2*g + 0 + 0)*(0 - 2 + 0))*(-20*g**2 + 91*g + 103*g - 184*g). -60*g**3 + 30*g**2 Expand u**2 - u**2 + u**4 + (486 - 255 - 245 + u**3)*(9 + 13 - 2)*(0*u + 0*u + u). 21*u**4 - 280*u Expand (3 + 2 - 4)*(1922*p - p**4 - 1922*p - 125*p**5). -125*p**5 - p**4 Expand 2*f + 84 - 84 + (1 + 2 - 1)*(1 - 1 - 2*f) - f + f + 2*f + (-3*f - f - 3*f)*(-5 + 1 + 5) - 2*f - f + 5*f. -5*f Expand (-503*z**2 - 76*z**2 - 42*z**2)*(4 + 1 - 4)*(-2*z**2 - 2*z**2 + 2*z**2). 1242*z**4 Expand (-1 + 1 - 3*d)*(-2*d + d**2 - 7 + 7 + 11). -3*d**3 + 6*d**2 - 33*d Expand (-2 + 1 - 4)*(-1997 - 30*s + 1997) + 3*s - 3*s - s. 149*s Expand (-2*h - 3*h**3 + 2*h)*(2*h + 5*h - 57*h) + 4*h**4 + 2*h**4 - 4*h**4. 152*h**4 Expand (0*s + 2*s + 18 - 5)*(-3 + 3 - 1). -2*s - 13 Expand (2*m + 2*m - 2*m)*(-2*m**4 - m**3 + m**3) + (7 - 7 + 7*m**2)*(64*m**2 + 8*m**3 - 64*m**2). 52*m**5 Expand (11*t - 11*t - 2*t**4)*(4 + 21*t - 1 - 24*t). 6*t**5 - 6*t**4 Expand (-2*v**2 - 1 + 1)*(0 - 1 + 4) + 29*v**2 + 16*v - 38*v + 24*v. 23*v**2 + 2*v Expand (1 + 2 - 2)*(-3 + 2 + 3)*(2 - 3 - 3 - 2 - 1 + 1 - 2 + 1 - 1 + 0 + 3 - 1 + 1 - 1 - 2 + (-2 - 1 + 1)*(-1 + 4 - 5) + 3 - 2 + 1)*(-110*j - 1 + 1). 440*j Expand -4*p**4 - 2*p**4 + 5*p**4 + (-2 - 1 - 1)*(8*p**4 + 13*p**4 + 2*p**4). -93*p**4 Expand (-2*g**4 - 3*g**3 + 3*g**3)*(11 - 7 - 9) + 385 - 385 - 14*g**4. -4*g**4 Expand (r + 3*r - 5*r)*(0 + 2 - 4) - 1 + 23*r + 92*r + 14*r. 131*r - 1 Expand b**4 - b**4 + b**4 + ((0 + 0 - 1)*(-2 + 2 + b) + 17*b - 26*b + 19*b)*(-b**3 - 2*b**3 - b**3) - b**4 - 3*b**3 + 3*b**3. -36*b**4 Expand (1 + 4 - 4)*(6*n - 6*n - 5*n) - 3*n - 1 + 1 + (-3*n + 6*n - 2*n)*(-2 - 3 + 2). -11*n Expand (3*q - q + 1 - 4*q)*(-1 + 1 - q)*(-q**2 - q**2 + q**2) + (21*q + q - 129*q)*(-q**3 - q**3 + 0*q**3). 212*q**4 + q**3 Expand -4 - 2*k + 4 + (-1 + k + 1)*(-12 + 4 + 1 + (1 + 1 - 1)*(-1 - 3 + 2) - 4 - 2 + 4). -13*k Expand ((-p**2 - 2*p**2 + p**2)*(0*p + 2*p - p) + 0*p**3 + 3*p**3 - 2*p**3 + 7*p**3 + p**3 - 2*p**3)*(1 - 1 - 5)*(-1 - 3 + 3)*(1 - 3 + 0). -50*p**3 Expand (-2*j + 721 - 721 - 14*j**2)*(1 + 3 - 3*j - 6). 42*j**3 + 34*j**2 + 4*j Expand (1 - 11*f + 35*f - 27*f)*(2 - f + 2*f + f) + (-3*f + 6*f - 2*f)*(f + 1 - 1). -5*f**2 - 4*f + 2 Expand (6*b + 0*b + 22*b)*(-b + 2 - 2 - 1). -28*b**2 - 28*b Expand -719*m**2 - 438031*m + 438031*m + (3*m + 0*m - m)*(-m + m + m). -717*m**2 Expand ((4*r**3 - 5*r**3 - r**3)*(-2*r - 4 + 4) + 21*r**4 + 11*r**4 - 6*r**4)*(-2 - 28*r - 32*r + 58*r). -60*r**5 - 60*r**4 Expand (2*z**2 + 0*z**2 + 3*z**2)*(-790*z + 343*z + 385*z). -310*z**3 Expand (2*i - 4*i + 4*i)*(2*i**3 - 2*i**3 - 2*i**3) - 5*i**4 - i**4 - i**4 + 2 - 2 - 3*i**4 + (3*i - 2*i + 0*i)*(i**3 + 0*i**3 + 2*i**3) + 2*i**4 + i**4 - i**4. -9*i**4 Expand (6 - 4 + 0)*(-40*k**5 + 129*k**2 + 12*k**5 + 17*k**5). -22*k**5 + 258*k**2 Expand (4*g + 0*g + 0*g)*(-2*g**3 + 0*g**3 + 0*g**3) + 17*g**4 + 8 - 16*g**4 + 0 + (-g**4 + 0*g**4 + 0*g**4)*(1 - 5 + 3). -6*g**4 + 8 Expand (-311 + 115 - 171 - 276 + 14)*(o - 4*o + 2*o). 629*o Expand -
{ "pile_set_name": "DM Mathematics" }
Let h(t) = t - 28*t**2 + 29*t**2 - 2 - t**3 + 0*t**3. Let g = 2 + -4. Calculate the smallest common multiple of 7 and h(g). 56 Let y(c) = c**3 + 8*c - 9 + 5*c**2 - 2*c**3 + 2. Let z(d) = -d**3 - 4*d**2 + 10*d - 6. Let u be z(-6). Calculate the smallest common multiple of y(u) and 11. 55 Find the common denominator of 70/9 and 0 + 357/(-114) + 1. 342 Suppose 0 = 5*a - 4*n - 26, -2*a - 4*n + 11 + 5 = 0. Let r(b) = -2*b**2 + 2 + 0*b**3 + b**3 - 4*b**2. Calculate the lowest common multiple of 9 and r(a). 18 Let y be 69922/(-4) - (-2)/(-1). Let j = -17885 - y. Let p = 393 + j. Calculate the common denominator of p and -59/6. 6 Calculate the common denominator of 10/27 and (-185)/(-60) - 0/1. 108 Let d = 1464/17 - 24665/272. Let j = 42/281 + 21385/1686. Find the common denominator of d and j. 48 Let u = 0 + 4. Suppose q - 2 = u*b, -2*q + 4*q + 4*b - 16 = 0. Calculate the least common multiple of (-6)/(-3) - 2/(-1) and q. 12 Let k(j) = 10*j**2 - j. Let b be k(1). Let h be (-1)/(1 - 9/12). Let w = b + h. Calculate the lowest common multiple of w and 1. 5 Let g(b) = -b**2 - 12*b + 6. Let f be g(-12). Find the common denominator of 2/(-6)*585/f and 53/8. 8 Let k = -780199 + 10938197/14. Let c = k - 1096. Calculate the common denominator of c and -19/10. 70 Let o(b) = -b**3 + 7*b**2 - 4*b - 6. Let w be o(6). Let n(g) = g - 2. Calculate the smallest common multiple of n(w) and 8. 8 What is the smallest common multiple of 1/(-3)*(3 - 9) and 10? 10 Calculate the least common multiple of 50/(-4)*(-16)/20 and 20. 20 Suppose -5*x + 306 = -n, -5*n + 330 = 5*x - 0*x. What is the least common multiple of 2 and x? 62 Let l(r) = -19*r**3 - r. Let q(z) = -z**2 + 7*z - 8. Let h be q(6). Let b(k) = -2*k**3 + 3*k**2 + 2*k - 2. What is the lowest common multiple of b(h) and l(-1)? 220 Let v = -83463/7 + 11949. Let r = v - 1273/28. Let q = -156 + 1089/7. Calculate the common denominator of r and q. 28 Let s be 4/6*6 + -4199. Let v = s - -16867/4. Find the common denominator of 13/16 and v. 16 Suppose -843 = -5*o + 4287. Let a = o + -701. Let b = a - 965/3. Calculate the common denominator of b and -67/4. 12 Let v(z) be the second derivative of z**3/6 + z**2 - z. What is the lowest common multiple of v(4) and (-9)/(36/(-88)) - 4? 18 Suppose z - 7 - 2 = -u, z = 5*u - 33. What is the least common multiple of u and 2? 14 Let f = 7/208 + -11101/2288. Find the common denominator of f and 11/8. 88 Let l(n) = n**2. Suppose 3*d - 5*q + 0*q = 15, -4*d = 5*q - 20. Calculate the lowest common multiple of d and l(1). 5 Let w = 295 - 287. Suppose -4*m + 71 = -17. Calculate the least common multiple of m and w. 88 Let g = 76199/20 - 3809. Calculate the common denominator of -1/22 and g. 220 Let k(j) = 3*j - 1. Let f be (0 - (-20)/2)/2. Let v(a) = -3*a + 1. Let g(c) = f*k(c) + 6*v(c). Calculate the smallest common multiple of g(-1) and 1. 4 Find the common denominator of 83/12 and (436/180)/(1*6/15). 36 Suppose 6*t - 7 = 29. Calculate the lowest common multiple of -6*((-4)/(-3) - 2) and t. 12 Let y(s) = s**3 - 11*s**2 + 10*s + 4. Suppose -4*c - 40 = c. Let z = 18 + c. Calculate the least common multiple of y(z) and 7. 28 Let v(k) = k**3 - 3*k**2 - 3*k + 2. Suppose 0*q + q - 5 = 0. Suppose q*t = 6 + 39. What is the lowest common multiple of t and v(4)? 18 Find the common denominator of 101/2 and ((-5)/(-3))/(-5) - 562/204. 34 Let d = -351369337/24390 - 13086/1355. Let m = 14423 + d. Calculate the common denominator of m and 21/(-24) + 0 + 0. 72 Suppose w + 5 = -4*o + 89, -2*o = 2*w - 36. Let n(c) = -c + 10. Let j be n(6). Suppose j*r - 25 = 15. What is the least common multiple of o and r? 110 Let d = 19 - 13. What is the lowest common multiple of d and 20? 60 Suppose 0 = -k + 4*j + 48, -2*k - 4*j = -2*j - 76. Find the common denominator of 79/2 and 1 + ((-36)/k)/3. 10 Let p = -2337/1264 + 72/79. What is the common denominator of p and 91/32? 32 Let q = 6 + 5. What is the lowest common multiple of q and 4? 44 Let q = -45 - -9. What is the least common multiple of 10 and (10/(-6))/(10/q)? 30 Suppose -41815 = -0*b - 5*b. Let o = b - 83701/10. Calculate the common denominator of 30/11 and o. 110 Find the common denominator of (-3)/(-5) + 2888/(-480) and 38/27. 108 Suppose 21*u - 23*u + 20 = 0. What is the least common multiple of 9 and u? 90 Calculate the least common multiple of 16 and (0 - 1*-3)*112/21. 16 Let h = 63 - 41. What is the lowest common multiple of 158/8 - 3/(-12) and h? 220 Suppose 5*m + 54 = 2*t - 60, -2*m + 285 = 5*t. Let q = t - 41. Calculate the least common multiple of 20 and q. 80 Suppose -3*d = -5*d - 4. Calculate the lowest common multiple of (1/d)/(7/(-392)) and 10. 140 Let w be 9673/68 - 2/8. Find the common denominator of -44 and 2 + 1 - w/12. 6 Suppose -b + 5 = 4*b. Let x = 43 + -61. What is the lowest common multiple of b and (2 - -1)*(-24)/x? 4 Suppose -52 = -x - 3*x + 2*w, -49 = -3*x + 4*w. What is the least common multiple of x and 61? 671 Suppose -5*v = -0*y - 4*y - 65, 0 = -3*v + 2*y + 37. What is the common denominator of (-194)/110 - v/15 and -31/5? 55 Suppose -5*s + 19 = -591. Find the common denominator of s/8*2 - 0 and -95/2. 2 Let h = 3511/12 - 565/2. What is the common denominator of h and 109/12? 12 Suppose -5*w + 18 = -4*w. Calculate the smallest common multiple of w and 14. 126 Calculate the least common multiple of 690/35 - (5/7 + -1) and (2/(-1))/(2/(-30)). 60 Let r(v) = -3*v + 4 + 4*v - 4*v + 2*v**2. Let m be r(3). Suppose 3*u = a - m, 2*u + 9 = a - 0*u. What is the lowest common multiple of a and 10? 10 Suppose -4 = d - 14. What is the least common multiple of d and 57? 570 Let r be (-3)/(-6)*(-8)/(-1). Suppose -r*p - 30 = -p. Calculate the common denominator of (0 - (-7)/p) + 2 and -99/8. 40 Suppose 0 = 2*h - 2*c - 2, h + 4*c - 16 = -0. Let n = 4 - h. What is the smallest common multiple of 28/2 - n/(-6) and 20? 140 Suppose j + 39 = -5*f + 472, 0 = -2*j - f + 902. Calculate the common denominator of (-6)/(-11)*23/4 and j/15*10/(-24). 132 What is the common denominator of -29/62 and (-58)/(-18) + 6/(-36)? 558 Let x = 1492965/11 + -135453. Let m = -2163872549/88 - -24589728. Let a = m - x. Calculate the common denominator of 43/8 and a. 8 Let f = -44 + 66. Calculate the lowest common multiple of 12 and f. 132 What is the lowest common multiple of ((-36)/(-45))/((-2)/(-15)) and 6? 6 Calculate the lowest common multiple of (2 + -1)/((-14)/(-196)) and 19/3 + 2/(-6). 42 Let w = 28 - 27. Calculate the lowest common multiple of (5/20)/(2/88) and w. 11 Let s = 6184 + -74255/12. Suppose 5*o = -5 - 15. Find the common denominator of ((-129)/18)/(o/(-6)) and s. 12 Calculate the smallest common multiple of (-1)/(-3) - (-52)/6 and 6. 18 Let y = 6690 - 40241/6. Calculate the common denominator of y and -49/2. 6 Suppose -j + 0*j = 0, -h + 3*j - 9 = 0. Suppose 0 = -2*v - 3*v + 70. Calculate the smallest common multiple of v/6 - (-3)/h and 6. 6 Let h be ((-3)/72)/((-4)/(-49121258)). Let r = 511878 + h. Let g = r - 584/3. Calculate the common denominator of g and -39/2. 16 Let x(z) = -3*z + 2. Let i be x(2). Let o = i + 2. What is the common denominator of 2/o - 31/8 and 67/9? 72 Let x(d) = -d**2 + 9*d. Let w be x(6). Suppose -3*r = -7*r - m + 34, -2*r + w = m. Calculate the least common multiple of 3 and r. 24 Let u = -27/4 - -125/16. Find the common denominator of u and 29/29 + (-59)/20. 80 Let y = -65 + 66. Calculate the lowest common multiple of y and 11. 11 Suppose 3*v - v - 10 = 0. Let q(n) = 4 - 7 - 2*n**2 - n**2 + 4*n + 2*n**3. Calculate the smallest common multiple of v and q(2). 45 Suppose -2*l - 2*v = -4*l - 14, 3 = 3*l + 3*v. Let m(s) = -5*s + 3. What is the lowest common multiple of m(l) and 8? 72 Calculate the common denominator of ((-1278)/(-168))/((-6)/4) and 1/12. 84 Find the common denominator of -61/28 and (2/(-24))/((-120)/4212). 280 Let k(v) = v**3 - 2*v**2 - 2*v - 5. Let s(c) = c**3 - c - 1. Let d(n) = k(n) - 3*s(n). Calculate the least common multiple of d(-2) and (-48)/10*20/(-6). 16 Let k = -22 + 44. Suppose o + o = 44. Calculate the smallest common multiple of k and o. 22 Let h be (-1 + 1)*-1 + 2. Suppose b + 4*l = 0, -5*b + 27 + 27 = h*l. What is the lowest common multiple of b and 4? 12 Suppose 12 = -7*t + 8*t. What is the lowes
{ "pile_set_name": "DM Mathematics" }
= 4*h(a) - 5*j(a). Find the third derivative of v(f) wrt f. 174 Let d = -11 + 11. Find the third derivative of d*w**2 + 5*w**3 + w**3 + 2*w**2 + 0*w**2 wrt w. 36 Let d be (-12)/21*7/(-2). What is the third derivative of 6*f**4 + f**2 - 4*f**2 + 5*f**d wrt f? 144*f Differentiate 49*f - 21 + 35 + 23 with respect to f. 49 What is the first derivative of -10 - 2 - 1 + 7 - 5*t wrt t? -5 Suppose 5*c = -10, 0 = 5*o - 3*c + 6*c - 19. Differentiate 4*d**3 + 4*d**3 - 8*d**3 + 6 + o*d**4 with respect to d. 20*d**3 Let q be (4/4)/(1/4). Find the second derivative of 3*c + q*c + 44 - 8*c**2 - 44 wrt c. -16 Let c(g) be the first derivative of -3*g**4/2 + 23*g + 35. Differentiate c(m) wrt m. -18*m**2 Find the second derivative of -h - 5*h**4 + 4*h + 17*h**4 - 3*h**4 wrt h. 108*h**2 Let s = 5/18 - -1/18. Let d(l) be the second derivative of l + 0*l**2 + 1/4*l**4 + s*l**3 + 0. Find the second derivative of d(j) wrt j. 6 Suppose -4*s + 13 = -j + 1, j + 2*s - 12 = 0. What is the second derivative of t - t**j - 2*t**4 - 4*t wrt t? -36*t**2 Let b(a) = -a**5 + a**4 - a. Let r(g) = -17*g**5 - 4*g**4 + 14*g. Let n(i) = -4*b(i) - r(i). Find the second derivative of n(u) wrt u. 420*u**3 Find the third derivative of 1174*a**3 - 28*a**4 - 20*a**2 - 1174*a**3 wrt a. -672*a Let s = 35/6 - 9/2. Let c(d) be the first derivative of 0*d - 1/2*d**2 - 2 - s*d**3. What is the second derivative of c(y) wrt y? -8 Let l(n) be the first derivative of 23*n**2 - 44*n + 26. What is the first derivative of l(o) wrt o? 46 Let d = 4 - 3. Let p be 4 + (0 - d) + 2. What is the second derivative of -4*j**p + j**5 + 3*j + j**5 wrt j? -40*j**3 Let i(s) be the first derivative of 0*s**6 + 0*s**5 + 0*s**2 + 1/3*s**3 + 0*s**4 - 2 - 3/7*s**7 + 0*s. Find the third derivative of i(a) wrt a. -360*a**3 Suppose -3*t + 3 = y, -3 - 9 = 4*y. Differentiate 2 + 6 - 5 - a**t with respect to a. -2*a Let m(z) be the first derivative of -3*z**7/7 - 2*z**3/3 + 8. Find the third derivative of m(h) wrt h. -360*h**3 Let y(z) be the second derivative of z**7/42 - z**6/10 + z**4/6 + 7*z**2/2 + 29*z. Find the third derivative of y(q) wrt q. 60*q**2 - 72*q Let g(j) be the first derivative of -j**7/70 + j**3/6 + 3*j**2/2 - 2. Let n(i) be the second derivative of g(i). What is the derivative of n(x) wrt x? -12*x**3 Let v = 10 + -8. Find the third derivative of -9*b**v + 10*b**2 + 4 - 4 - 5*b**4 wrt b. -120*b Suppose -j + 3*s - 10 = 7*s, -3 = s. Find the second derivative of -3*i**j + 3*i + 6*i + 0*i - 3*i wrt i. -6 Let z(w) be the second derivative of -9*w**8/28 - w**4 + 30*w. What is the third derivative of z(j) wrt j? -2160*j**3 Find the second derivative of 48*k**2 + k**3 - 48*k**2 - 4*k wrt k. 6*k Suppose z - 3 = -0*z. Suppose 7 = w + 2*t, -z*t + 6*t = 4*w - 17. Find the second derivative of 2*v**5 - 2*v - w*v**5 + 5*v**5 wrt v. 40*v**3 What is the third derivative of -94 - 22*u**5 - 6*u**2 + 94 - 17*u**2 wrt u? -1320*u**2 Suppose x - 1 - 1 = 0. Find the first derivative of -x*a - 2*a - 3 + 3*a - a wrt a. -2 Let w(v) = 13*v**3 + 4*v**2 + 15. Let x(u) = -13*u**3 - 5*u**2 - 16. Let n(k) = 5*w(k) + 4*x(k). Differentiate n(t) with respect to t. 39*t**2 What is the first derivative of 40 + w**3 + 3*w**3 + 15*w - 2*w**3 + 5 wrt w? 6*w**2 + 15 Differentiate 11*i - 11 - 3*i + 7*i - 7 wrt i. 15 What is the second derivative of -8*f**2 - 2*f**2 + 9*f + f**5 + 10*f**2 wrt f? 20*f**3 Let i = 36 - 32. Let w(p) be the first derivative of -p**3 + 0*p**2 + 2/7*p**7 + 0*p + 0*p**5 + 3 + 0*p**6 + 0*p**i. What is the third derivative of w(k) wrt k? 240*k**3 Let r(i) be the third derivative of i**8/1680 + i**7/840 + i**4/24 - 4*i**2. Let t(b) be the second derivative of r(b). Find the third derivative of t(q) wrt q. 24 Let c(s) = -s**3 + 3*s**2 + 7*s - 6. Let q be c(4). Let i = q - 4. What is the second derivative of 0*g + 2*g**3 - i*g + 2*g - 2*g wrt g? 12*g Let n = 0 - -2. Let i(y) = 5 + y**2 - n*y - 3*y + 4*y. Let q(z) = z - 2. Let m(u) = 2*i(u) + 5*q(u). What is the second derivative of m(k) wrt k? 4 Let v(u) be the first derivative of u**5 - 3*u + 1. Differentiate v(h) wrt h. 20*h**3 Let r(w) be the first derivative of -4*w**5/5 - 7*w**3/3 - 4. What is the third derivative of r(z) wrt z? -96*z Let y(c) = -c - 7. Suppose -2*f - 14 = 6. Let z be y(f). Find the third derivative of -3*v**5 + z*v**5 + v**2 + v**6 + 0*v**6 wrt v. 120*v**3 What is the derivative of -263*d**2 + 263*d**2 + 13*d**3 + 11 wrt d? 39*d**2 Let j(a) = 11*a**3 + 5*a**2 - 51*a - 5. Let l(o) = 6*o**3 + 2*o**2 - 25*o - 2. Let z(r) = -2*j(r) + 5*l(r). What is the second derivative of z(p) wrt p? 48*p Let j(z) be the second derivative of z**8/336 + z**4/6 + z**3/2 + 6*z. Let x(q) be the second derivative of j(q). Find the first derivative of x(f) wrt f. 20*f**3 Suppose 2*w - w - 4*i - 8 = 0, 2*w + 8 = -4*i. Suppose w*a = -3*a + 15. Find the third derivative of l**5 + 4*l**5 - 7*l**a - l**2 wrt l. -120*l**2 Let t(i) be the second derivative of 0 + 2*i + 0*i**2 + 0*i**5 + 0*i**4 - 1/2*i**3 - 1/10*i**6. What is the second derivative of t(o) wrt o? -36*o**2 Let l = -9 - -11. What is the second derivative of -7*c**4 + l*c + 2 - 2 + c**4 wrt c? -72*c**2 Let f(p) = -p**3 - 8*p**2 - 8*p - 2. Let b be f(-7). Suppose 10 = -5*u + b*t, 5*u = -4*t - t + 30. Find the second derivative of u*k**2 - 4 + 4 - 2*k wrt k. 4 Let i(h) = 23*h**3 + 30*h**2 - 2. Let q(k) = 23*k**3 + 29*k**2 - 3. Let x(p) = -3*i(p) + 2*q(p). What is the third derivative of x(n) wrt n? -138 What is the second derivative of a - 78*a**2 - 2*a**4 + 6 - 75*a**2 + 165*a**2 wrt a? -24*a**2 + 24 Let v be 0 - 1 - 30/(-5). Suppose 2*d - d - v = 0. What is the second derivative of -i + 4*i - 2*i + 2*i**d wrt i? 40*i**3 Let v(s) = -6*s + 14. Let a(z) = -6*z + 14. Let t(w) = -4*a(w) + 5*v(w). What is the derivative of t(n) wrt n? -6 Let v(q) be the second derivative of q**6/24 - 3*q**4/8 + 3*q**2/2 + 6*q. Let t(g) be the first derivative of v(g). Find the second derivative of t(p) wrt p. 30*p Let k(n) = 17*n**2 + 23*n - 2. Let b(q) = 52*q**2 + 68*q - 6. Let w(m) = -2*b(m) + 7*k(m). Find the second derivative of w(y) wrt y. 30 What is the third derivative of -4*c**3 - 38*c**2 - 6*c**3 + 41*c**2 wrt c? -60 What is the second derivative of -2*o**3 - o**3 - 7*o + 0 + 0 wrt o? -18*o Suppose 5*p = -m + 52, -2*p - 5*m + 0*m + 30 = 0. Suppose 2*q - p = 2. What is the third derivative of -v**2 + 2*v**6 + 0*v**2 - v**q wrt v? 120*v**3 Let r(n) be the first derivative of n**4/4 - 10*n**3/3 + 5*n**2 - 5*n - 2. Let o be r(9). What is the second derivative of -6*p + 5*p - 3*p**o + p**4 wrt p? -24*p**2 Let y(n) = -n**2 - n + 6. Let x be y(0). Find the third derivative of 19*o**2 - 15*o**2 - 2*o**3 + x*o**3 wrt o. 24 Let d(n) = -n**2 + 3*n + 2. Let i be d(3). What is the second derivative of 1 + 2*t**i + 2*t + t - 1 wrt t? 4 Let a(r) = -23*r**3 + 2*r**2 + 31*r. Let u(q) = -24*q**3 + 3*q**2 + 30*q. Let m(s) = 3*a(s) - 2*u(s). Find the second derivative of m(j) wrt j. -126*j Find the third derivative of -10*f**2 + 37*f**2 + 116*f**6 - 81*f**6 wrt f. 4200*f**3 Let s(y) = -8*y**3 - 2*y**2 + 2*y + 2. Let q(b) = b**2 + b - 1. Let z(r) = 4*q(r) + 2*s(r). What is the second derivative of z(d) wrt d? -96*d Let f(b) be the first derivative of 0*b**3 + 0*b - 1/5*b**5 + 3 + 0*b**4 - 2*b**2. Find the second derivative of f(u) wrt u. -12*u**2 Let v(h) = -5*h. Let j be v(-1). Suppose -p - 14 = -j*q, 4*q - 2 = 4*p + 6. Differentiate 1 + l**3 - 3*l**3 + 0*l**q - 3 wrt l. -6*l**2 Suppose 4*p = -f + p + 8, p - 6 = -f. Find the third derivative of 3*q**2 - f*q**2 - q**5 - 2*q**5 - 2*q**2 wrt q. -180*q**2 Let a be 116/24 - 2/(-12). What is the third derivative of -o**2 - 2*o**6 + 2*o**2 + 2*o**2 - a*o**2 wrt o? -240*o**3 Let h(t) = 2*t**2. Let m(s) = -s**3 + 2*s**2 + s. Suppose 3*b - 6 = -0. Let f(d) = b*m(d) - 2*h(d). Find the second derivative of f(z) wrt z. -12*z Let y be 294/(-15) - 4/10. Let t be y/(-6) + 4/(-12). Find the second derivative of v + 0*v**3 - 2*v**t + v**3 - 3*v wrt v. -6*v Find the second derivative of 13*y**2 + 7*y**3 + 40*y + 13*y**3 - 26*y**3 + 8*y**3 wrt y. 12*y + 26 Let b(u) = -22*u**2 + 7*u - 5. Let s(c) = 11*c**2 - 4*c + 2. Let d(h) = 4*b(h) + 7*s(h). Find the first derivative of d(f) wrt f. -22*f Differentiate -364 + 324 + u**3 +
{ "pile_set_name": "DM Mathematics" }
derivative of -2*y**2 - 1/210*y**6 + 0*y + 0 + 0*y**3 + 1/735*y**7 + 1/210*y**5 + 0*y**4. Factor a(k). 2*k**2*(k - 1)**2/7 Let u(d) be the first derivative of 3/4*d**4 + 9/2*d**2 + 3*d**3 + 3*d - 4. Suppose u(p) = 0. Calculate p. -1 Let m(y) be the third derivative of y**6/24 - y**5/4 - 28*y**2. Factor m(t). 5*t**2*(t - 3) Suppose 0*a - 2/5*a**4 - 2/5*a**2 - 4/5*a**3 + 0 = 0. Calculate a. -1, 0 Let u(w) be the first derivative of 2*w**3/3 - 3*w**2 + 4*w - 6. Factor u(b). 2*(b - 2)*(b - 1) Let c(p) = -p**2 - 39*p. Let f be c(-39). Factor 3/4*x**2 + 0 + f*x. 3*x**2/4 Let h(m) = -m + 6. Let n be h(6). Suppose -2 = 2*z - 3*z. Find f, given that -3*f**z + n*f + 3*f - f - f = 0. 0, 1/3 Suppose 0 + 3/2*w**3 + 9/2*w**2 + 3*w = 0. Calculate w. -2, -1, 0 Factor 6*a**2 + 24/5 - 6/5*a**3 - 48/5*a. -6*(a - 2)**2*(a - 1)/5 Let y(c) = c**4 - c**2 - 1. Let x(k) = -8*k**4 - 2*k**3 + 2*k + 22. Let g(z) = 2*x(z) + 28*y(z). Let g(j) = 0. What is j? -1, 1, 4/3 Let g(p) = 13*p**2 - 11*p - 2. Let u(j) = 53*j**2 - 45*j - 8. Let s(f) = -9*g(f) + 2*u(f). Suppose s(x) = 0. What is x? -2/11, 1 Let a(k) be the first derivative of 2*k**3/27 + 4*k**2/9 - 10*k/9 + 16. Find g such that a(g) = 0. -5, 1 Let c = 15 - 13. Let b be 0/(c + (-3 - -2)). Determine r so that -2*r**4 + 1/2*r + r**3 + b - 3/2*r**5 + 2*r**2 = 0. -1, -1/3, 0, 1 Let f be (2 - 5) + 2 + 5. Suppose -31*o**2 - o**4 + 28*o**2 + 4*o**f = 0. Calculate o. -1, 0, 1 Suppose 0 = 4*y - 9*y - 30. Let g be 42/11 + y/(-33). Suppose 12/5*q**3 - 8/5*q**g + 2/5*q**5 + 0 + 2/5*q - 8/5*q**2 = 0. Calculate q. 0, 1 Determine o so that -2/3*o**3 + 0 - 2/3*o - 4/3*o**2 = 0. -1, 0 Factor -7/4*u**2 + 0 + 1/2*u. -u*(7*u - 2)/4 Let g = -71/30 - -19/6. Factor -2/5*m**3 + 0*m**2 + 0*m + 0 + g*m**4 - 2/5*m**5. -2*m**3*(m - 1)**2/5 Let f(l) be the first derivative of -l**4/4 + 2*l**3/3 + 3. Let f(j) = 0. Calculate j. 0, 2 Let a(z) = 2*z**2 + 5*z. Let o(k) = k**2 + 4*k. Let x(u) = -4*a(u) + 5*o(u). Factor x(m). -3*m**2 Let g(a) be the second derivative of -3*a**5/20 - a**4/4 + 5*a. Determine q, given that g(q) = 0. -1, 0 Let i(o) be the second derivative of 25*o**6/6 - 20*o**5 + 10*o**4 + 160*o**3/3 + 40*o**2 + 4*o. Factor i(u). 5*(u - 2)**2*(5*u + 2)**2 Let x = 65/4 - 16. Factor x + z**3 + z + 1/4*z**4 + 3/2*z**2. (z + 1)**4/4 Let a(u) be the second derivative of u**6/1620 - u**5/540 - u**3/6 - 2*u. Let p(g) be the second derivative of a(g). Factor p(w). 2*w*(w - 1)/9 Let t(l) be the second derivative of -l**6/75 - 7*l**5/100 - l**4/30 + l**3/10 + 5*l. Suppose t(r) = 0. What is r? -3, -1, 0, 1/2 Let a(w) = 0 - w**2 - 3*w + 2 - 5*w - 2*w. Let i be a(-10). Factor -4/5*s + 0 + 6/5*s**3 + 2/5*s**i. 2*s*(s + 1)*(3*s - 2)/5 Find f, given that -32/7*f - 20/7*f**2 - 4/7*f**3 - 16/7 = 0. -2, -1 Factor -81*h - 12 - 43*h**2 + 5*h**3 - h**3 + 62*h - 40*h. (h - 12)*(h + 1)*(4*h + 1) Let n(g) be the second derivative of -g**4/3 + 2*g**2 - 15*g. Factor n(m). -4*(m - 1)*(m + 1) Factor -3*h + 14*h**5 - 16*h**5 + 3*h + 6*h**3 + 4*h**2. -2*h**2*(h - 2)*(h + 1)**2 Let g(y) be the third derivative of -y**8/560 + y**7/140 - y**6/120 - y**3/6 - 6*y**2. Let q(b) be the first derivative of g(b). Factor q(v). -3*v**2*(v - 1)**2 Let i(w) = 6*w**2 - 6*w + 2. Let d = -5 + 3. Let t(x) = -x**2 + x. Let y(k) = d*i(k) - 14*t(k). Factor y(c). 2*(c - 2)*(c + 1) Let s(j) be the first derivative of 2*j**3/15 - j**2/5 - 4*j/5 - 25. Let s(w) = 0. What is w? -1, 2 Let k(o) be the third derivative of 4*o**2 + 1/200*o**6 - 1/560*o**8 + 1/100*o**5 + 0 + 0*o - 1/350*o**7 + 0*o**4 + 0*o**3. Find u such that k(u) = 0. -1, 0, 1 Suppose 0 = -5*d - 5*y + 15, -3*d - y = y - 9. Let g(l) be the third derivative of -d*l**2 + 1/6*l**3 + 1/6*l**4 + 0*l + 0 + 1/16*l**5. Let g(c) = 0. What is c? -2/3, -2/5 Let o(y) = -4*y**4 + 8*y**3 - 6*y**2 + 2*y. Let l(r) = -14*r**4 + 25*r**3 - 19*r**2 + 8*r + r**4 - r. Let w(d) = 2*l(d) - 7*o(d). Factor w(m). 2*m**2*(m - 2)*(m - 1) Let a = 56 + -273/5. Factor -9/5*s + 2/5 + a*s**2. (s - 1)*(7*s - 2)/5 Let p be (1*24)/4 - 3. Let d(z) = z**3 - 2*z**2 - z - 4. Let s be d(3). Let 2/3*f**p + 2*f + 2/3 + 2*f**s = 0. Calculate f. -1 Suppose -6*g + 2*g + 12 = 0. Let v be g/(-4) + (-85)/(-60). Factor 1/3 + 1/3*x**2 - v*x. (x - 1)**2/3 Let m(h) be the first derivative of -2 + 8*h**2 + 8/3*h**3 - 2*h**5 - 1/3*h**6 - 3*h**4 + 0*h. Solve m(n) = 0. -2, 0, 1 Let n(c) be the third derivative of 0*c + 2*c**3 - 5*c**2 - 1/15*c**5 + 0 + 1/3*c**4. What is y in n(y) = 0? -1, 3 Let b(a) = -11*a**2 + 6*a. Let t(n) = 2*n**2 + 2*n. Let o(j) = j**2. Let f(l) = -6*o(l) + t(l). Suppose 31 - 1 = -5*z. Let r(d) = z*b(d) + 17*f(d). Factor r(u). -2*u*(u + 1) Let a be (2*1/24)/((-95)/(-76)). Let l(z) be the third derivative of 0*z**3 + 1/60*z**6 + 1/12*z**4 - a*z**5 + z**2 + 0*z + 0. Suppose l(r) = 0. What is r? 0, 1 Let w = -1 - -4. Suppose 20 = 2*c + w*c. Determine f, given that f + 4*f - c*f + f - 2*f**2 = 0. 0, 1 Let w = 166 + -163. Let n(j) be the third derivative of -1/15*j**w - 1/120*j**4 + 0*j + 1/300*j**5 - j**2 + 0. Factor n(k). (k - 2)*(k + 1)/5 Factor -17082*n**2 + 1 + 17084*n**2 - 1 + 22*n. 2*n*(n + 11) Let t(a) be the third derivative of -4*a**2 + 0 - 1/12*a**4 + 0*a**5 + 1/60*a**6 + 0*a**3 + 0*a. Let t(m) = 0. What is m? -1, 0, 1 Let r = -225105/36568 + -3/57464. Let v = r - -74/11. Determine d, given that -2/7*d - v + 2/7*d**2 = 0. -1, 2 Let y(d) = -d**2 + 17*d - 50. Let i be y(13). Let a(h) be the first derivative of 0*h**2 + 0*h - 2/3*h**3 + i + 1/2*h**4. Factor a(z). 2*z**2*(z - 1) Let -6*p**2 - 12*p**2 - 3*p**3 - 36*p + 0*p**2 - 24 = 0. What is p? -2 Let b be -1 + (-15)/(0 + -1). Suppose -2*v - 3*v - 2*w + 18 = 0, 5*v + w = b. Suppose v*g - 3*g**2 - 5*g**2 + 6*g**2 = 0. What is g? 0, 1 Factor 20/3 + 28/3*u**2 - 4/3*u**3 - 44/3*u. -4*(u - 5)*(u - 1)**2/3 Let n be (19/19)/(1/2). Factor -4/9 + 2/9*b**3 - 2/9*b + 4/9*b**n. 2*(b - 1)*(b + 1)*(b + 2)/9 Solve -2/5*n**2 + 32/15*n - 2/3 = 0 for n. 1/3, 5 Let m(g) = 11*g**4 + 7*g**3 - 7*g**2 + 17*g - 17. Let j(q) = 2*q**4 + q**3 - q**2 + 3*q - 3. Let o(b) = 34*j(b) - 6*m(b). Factor o(w). 2*w**2*(w - 2)**2 Solve 0 + 0*n**2 + 2/5*n**4 - 6/5*n**3 + 8/5*n = 0 for n. -1, 0, 2 Let m(j) be the second derivative of -j**8/13440 - j**7/5040 + j**6/1440 + j**5/240 - j**4/4 + j. Let l(o) be the third derivative of m(o). Factor l(n). -(n - 1)*(n + 1)**2/2 Factor 2*s - 1/2*s**2 - 3/2. -(s - 3)*(s - 1)/2 Let r = -5 + 9. Let k(b) = -b**2 - 6*b - 6. Let d be k(-4). Factor s**3 + 0*s**3 + s**r - d*s**3. s**3*(s - 1) Suppose 0 = -f - 5*c - 17, 5*f - 3*c = -2*c + 19. Solve -28/9*z**f - 50/9*z**2 - 4/9 - 26/9*z = 0. -1, -1/2, -2/7 Let m = 9 - 4. Let k(l) = 5*l**3 + 9*l**2 - 15*l + 7. Let r(d) = -11*d**3 - 17*d**2 + 31*d - 13. Let h(x) = m*k(x) + 3*r(x). Factor h(s). -2*(s - 1)*(s + 2)*(4*s - 1) Suppose -683*p**2 + 484*p - 94*p**3 - 4*p**4 + 287*p**2 + 10*p**3 = 0. Calculate p. -11, 0, 1 Let k(p) be the second derivative of p**6/30 - p**4/12 - p**3/6 - 7*p. Let q(w) = 6*w**4 + 2*w**3 - 5*w**2 - 7*w - 1. Let c(y) = -5*k(y) + q(y). Factor c(j). (j - 1)*(j + 1)**3 Let a = 72 - 72. Let u(w) be the third derivative of -w**2 + 0*w**3 + a + 1/105*w**7 + 1/12*w**6 + 4/15*w**5 + 0*w + 1/3*w**4. Find s, given that u(s) = 0. -2, -1, 0 Let j = 545/78 - -9/26. Let f = 8 - j. Factor 3*d**3 + 13/3*d - f - 20/3*d**2. (d - 1)**2*(9*d - 2)/3 Let f(j) be the second derivative of -j**4/12 + 2*j**3/3 + 2*j**2 - 2*j. Let s(r) = -2*r**2 + 7*r + 7. Let p(v) = 7*f(v) - 4*s(v). Factor p(m). m**2 Let o(y) = -6*y**3 + 8*y - 7. Let l(d) = 7*d**3 - 9*d + 8. Let u = -21 + 15. Let a(k) = u*o(k) - 5*l(k). Find w such that a(w) = 0. -2, 1 Let r(k) be the first derivative of -k**4/2 - 4*k**3 - 12*k**2 - 16*k + 12. Solve r(b) = 0. -2 Let j = -4 + 6. Factor -2*m + m**j - 3*m**3 - 6 + 11*m - m**2. -3*(m - 1)**2*(m + 2) Let k(i) be the third derivative of i**8/30240 + i**7/3780 + i**6/1080 + i**5/15 + 3*i**2. Let j(r) be the third derivative of k(r). Factor j(b). 2*(b + 1)**2/3 Let z be 2 - 1/((-3)/(-3)). Factor 3 - t**2 + z + t - 4. -t*(t - 1) Let r(p) = 3*p**2 + 1. Let b be r(1). Factor -4*s - 2*s**4 - 2 + b*s**2 + 2*s + 2*s. -2*(s - 1)**2*(s + 1)**2 Let w(j) be the first derivative of -7*j**5/180 + j**4/8 - j**3/9 - j**2/2 - 1. Let v(r) be the second derivative of w(r). Let v(q) =
{ "pile_set_name": "DM Mathematics" }
ee letters picked without replacement from {g: 3, j: 3}. 1/20 Three letters picked without replacement from ujouuorjjorhrrxrrj. What is prob of sequence ujo? 1/136 What is prob of sequence huu when three letters picked without replacement from {u: 5, h: 2}? 4/21 What is prob of sequence ttut when four letters picked without replacement from {t: 7, u: 1}? 1/8 What is prob of sequence oui when three letters picked without replacement from gpugggopiiuppppp? 1/840 Two letters picked without replacement from wkxw. What is prob of sequence wx? 1/6 What is prob of sequence ru when two letters picked without replacement from uuunrrrrrun? 2/11 Three letters picked without replacement from {d: 1, h: 5, a: 3, o: 1}. What is prob of sequence ahh? 1/12 What is prob of sequence appp when four letters picked without replacement from ppapppaapapapp? 15/143 Two letters picked without replacement from {h: 3, s: 3}. Give prob of sequence hh. 1/5 What is prob of sequence uu when two letters picked without replacement from unydy? 0 Four letters picked without replacement from {h: 2, u: 2, z: 1, w: 1, a: 8, v: 3}. Give prob of sequence zhau. 1/1785 What is prob of sequence ok when two letters picked without replacement from {k: 3, o: 9}? 9/44 What is prob of sequence zp when two letters picked without replacement from ewczpll? 1/42 Four letters picked without replacement from oolqpjojpbqljpqq. Give prob of sequence pqlb. 1/1820 What is prob of sequence uucc when four letters picked without replacement from ccuccccccccucccu? 3/140 What is prob of sequence nnj when three letters picked without replacement from {j: 3, n: 15}? 35/272 Two letters picked without replacement from {w: 1, h: 3, t: 2, r: 13}. What is prob of sequence rr? 26/57 What is prob of sequence ru when two letters picked without replacement from {r: 4, u: 4, n: 11}? 8/171 What is prob of sequence ttnn when four letters picked without replacement from {n: 4, t: 3}? 3/35 Two letters picked without replacement from {h: 2, g: 10}. Give prob of sequence hh. 1/66 What is prob of sequence rzr when three letters picked without replacement from {r: 6, z: 2}? 5/28 Calculate prob of sequence hhl when three letters picked without replacement from {h: 5, c: 3, l: 3}. 2/33 Four letters picked without replacement from {u: 4, t: 3, m: 3, j: 3}. What is prob of sequence tmtu? 3/715 What is prob of sequence xccc when four letters picked without replacement from {c: 1, x: 1, f: 3, v: 7}? 0 Two letters picked without replacement from fffffff. Give prob of sequence ff. 1 Calculate prob of sequence xnn when three letters picked without replacement from xxnaxnxaxxxxxx. 5/546 Two letters picked without replacement from ximrmmsmrrxn. What is prob of sequence im? 1/33 Calculate prob of sequence zvch when four letters picked without replacement from {z: 1, c: 2, h: 4, n: 6, v: 7}. 7/14535 Two letters picked without replacement from {o: 1, b: 1, l: 1}. Give prob of sequence ob. 1/6 Two letters picked without replacement from {n: 1, p: 1, u: 1}. Give prob of sequence un. 1/6 Calculate prob of sequence ca when two letters picked without replacement from {a: 3, u: 3, y: 5, c: 2, i: 6, d: 1}. 3/190 Calculate prob of sequence wwwn when four letters picked without replacement from {w: 4, n: 7, e: 4}. 1/195 Three letters picked without replacement from qaqnqqvqvvvv. What is prob of sequence qqa? 1/66 Two letters picked without replacement from tmtttttmtwttmttt. What is prob of sequence tm? 3/20 Three letters picked without replacement from aqqaqqqaqqqqaqqa. Give prob of sequence qqa. 55/336 Four letters picked without replacement from {b: 2, w: 4, r: 2, p: 1}. Give prob of sequence rwwp. 1/126 Three letters picked without replacement from {n: 1, t: 1, p: 2, e: 1, s: 1, g: 2}. What is prob of sequence sgt? 1/168 Three letters picked without replacement from kfhxwfxhxwzhzhx. Give prob of sequence ffx. 4/1365 Calculate prob of sequence nsnn when four letters picked without replacement from nsuunusnuqiuzsnnun. 1/204 Calculate prob of sequence mt when two letters picked without replacement from {v: 2, p: 2, h: 4, t: 1, i: 1, m: 5}. 1/42 Four letters picked without replacement from {h: 3, l: 3}. Give prob of sequence hlll. 1/20 Two letters picked without replacement from {y: 2, x: 3, c: 13}. What is prob of sequence xx? 1/51 Calculate prob of sequence urf when three letters picked without replacement from {y: 1, r: 2, b: 1, u: 2, f: 1}. 2/105 Calculate prob of sequence ff when two letters picked without replacement from {f: 5, t: 2, k: 2, a: 3}. 5/33 What is prob of sequence vvss when four letters picked without replacement from {v: 4, s: 3}? 3/35 Calculate prob of sequence zfqv when four letters picked without replacement from qfqzfvzqq. 1/189 Four letters picked without replacement from jamamn. What is prob of sequence nmaa? 1/90 Three letters picked without replacement from pppvgpg. Give prob of sequence ppp. 4/35 Calculate prob of sequence js when two letters picked without replacement from {s: 7, j: 3}. 7/30 Four letters picked without replacement from {c: 1, v: 3, s: 5, k: 6, h: 5}. What is prob of sequence vskv? 1/646 What is prob of sequence rrv when three letters picked without replacement from {j: 3, f: 2, r: 4, v: 1}? 1/60 What is prob of sequence yio when three letters picked without replacement from naiiyuoy? 1/84 Two letters picked without replacement from anbnxbxbnnb. What is prob of sequence ax? 1/55 Four letters picked without replacement from fbmofoooobfb. Give prob of sequence mfbb. 1/660 Three letters picked without replacement from mpfpffmppmpmpfpppfmk. Give prob of sequence fpp. 1/19 Calculate prob of sequence cvv when three letters picked without replacement from {v: 2, c: 2, d: 2}. 1/30 Calculate prob of sequence gge when three letters picked without replacement from {h: 2, e: 3, g: 5, m: 7}. 1/68 Two letters picked without replacement from ffftfottf. Give prob of sequence to. 1/24 Four letters picked without replacement from {z: 3, m: 5, k: 5}. Give prob of sequence mmmk. 5/286 Two letters picked without replacement from vsvlvsv. What is prob of sequence vs? 4/21 Four letters picked without replacement from {z: 2, f: 4, g: 4}. Give prob of sequence ffzf. 1/105 Three letters picked without replacement from nesnzonnz. Give prob of sequence zos. 1/252 Four letters picked without replacement from nnccduncnducut. Give prob of sequence ccud. 3/1001 Calculate prob of sequence cl when two letters picked without replacement from {v: 1, l: 1, c: 1}. 1/6 Calculate prob of sequence zhhg when four letters picked without replacement from {h: 4, d: 1, w: 3, z: 2, g: 1}. 1/330 Calculate prob of sequence hu when two letters picked without replacement from {k: 2, n: 1, u: 1, m: 1, h: 4}. 1/18 What is prob of sequence pki when three letters picked without replacement from {w: 4, p: 6, m: 1, d: 1, k: 1, i: 2}? 2/455 Three letters picked without replacement from {v: 2, b: 3}. Give prob of sequence vbv. 1/10 Three letters picked without replacement from {x: 3, r: 2, q: 1, u: 6}. What is prob of sequence qrx? 1/220 Three letters picked without replacement from {c: 4, g: 7, n: 3}. What is prob of sequence gcg? 1/13 What is prob of sequence ute when three letters picked without replacement from eutxlxg? 1/210 Three letters picked without replacement from {v: 2, m: 1, q: 1, k: 3}. What is prob of sequence mqk? 1/70 Calculate prob of sequence tj when two letters picked without replacement from {q: 1, t: 3, j: 3, x: 5, h: 7}. 1/38 Two letters picked without replacement from {k: 2, n: 1, j: 1, z: 4, f: 3, v: 1}. What is prob of sequence fn? 1/44 What is prob of sequence xoox when four letters picked without replacement from {o: 7, x: 9}? 9/130 Calculate prob of sequence qat when three letters picked without replacement from ttaqxxtxtt. 1/144 What is prob of sequence ddkk when four letters picked without replacement from ddkkk? 1/10 Three letters picked without replacement from {u: 5, k: 2, c: 3}. What is prob of sequence cuk? 1/24 Three letters picked without replacement from ofssopoppsfssss. Give prob of sequence pso. 3/130 Four letters picked without replacement from {j: 2, a: 1, t: 1, i: 1, y: 2, w: 1}. Give prob of sequence ytja. 1/420
{ "pile_set_name": "DM Mathematics" }
**2 + 6*l - 2 - p + 4. Let o = 6 + -11. Give d(o). -8 Suppose -h - 2*h = 6. Let l(s) = -s**2 - s - 5. Let u(t) = 0 + t**2 + t - 3 + 3 + 3. Let v(y) = 4*l(y) + 7*u(y). Give v(h). 7 Let n(r) = 2*r - 1. Let v(g) = 2*g**2 + 12. Let d be v(0). Let y = d + -6. Determine n(y). 11 Let f(v) be the third derivative of 13*v**2 - 13/6*v**3 + 0*v + 0 - 1/24*v**4. Determine f(-7). -6 Let f(k) = -2*k**2 - 31*k + 0*k + 6 + 3*k**2 + 19*k. What is f(13)? 19 Let g = -107 - -116. Let b(i) = -2*i + i + 5 - 8 + g. Calculate b(0). 6 Let x(f) = f**2 + 6*f + 4. Let a be (-4)/(-4)*0/(-1). Suppose -2*u - 14 = t, -7 = u + t - a. Determine x(u). 11 Let q(f) = 2*f**2 + 23*f - 5. Let b(y) = -y**2 - 12*y + 3. Let d(u) = -11*b(u) - 6*q(u). Suppose 5*o = -3*p - 30, -5*o - 40 = 6*p - p. Calculate d(o). 6 Suppose 3*s + 17 = -0*j + 4*j, -2*s - 2*j = 2. Let m(a) = -a**2 + 3*a. Determine m(s). -18 Let d(l) = -l + 5. Let b(v) = v**2 + 3*v + 1. Let j be b(-4). Suppose -y + 6 = 3*m, m - j*y - 12 = -2*y. What is d(m)? 2 Let w(c) = -5*c**2 + 9*c - 4. Suppose -11*z + 30 = -6*z. Let r(f) = -f**2 + f - 1. Let d(m) = z*r(m) - w(m). Let q = 4 - 7. What is d(q)? -2 Suppose 0*d + 3*o - 20 = -4*d, d = 3*o + 5. Let h(f) be the third derivative of -1/15*f**d + 0*f + 0 + 1/24*f**4 + 1/120*f**6 + 1/3*f**3 - 4*f**2. What is h(4)? 6 Let o(t) = t**3 - 3*t**2. Suppose 0 = m - 6*d + d + 5, 5*m + 4*d = 33. Suppose -12*w = -7*w - 50. Suppose m*h - w = -0. Determine o(h). -4 Suppose 5*o - 53 = 97. Let t = -25 + o. Let h(v) = 7*v**3 - 15*v**2 - 5*v + 15. Let z(l) = 4*l**3 - 8*l**2 - 3*l + 8. Let b(g) = 3*h(g) - 5*z(g). What is b(t)? 5 Let m = -18 + 20. Let b(s) = 2 - 7*s**m + 16*s**2 - 3*s**2 - 5*s**2 - 3*s. Calculate b(5). 12 Suppose 3*t = 5*b - 30, -5*t = -b + 11 - 5. Let r(l) = 2*l**2 - 10*l + 4. Determine r(b). 16 Let z(v) be the first derivative of -v**3/3 - 5*v + 547. Determine z(2). -9 Let l(r) = r**2 + 6*r + 15. Let b be l(-4). Let u(x) = -1 - 2 + b*x + 4 + x**2 + 0. Calculate u(-6). -5 Suppose -34*i = -35*i - 2. Let u(y) be the first derivative of y + 1/2*y**2 - 1/3*y**3 - 4. Calculate u(i). -5 Let v be 1/(1 - 30/35). Let a(q) be the second derivative of q**5/20 - q**4/2 - q**3 - 5*q**2 - 11*q. Give a(v). -3 Let u(o) = 2*o - 4. Let g(f) = 2*f + 17. Let l be g(-7). Suppose -3*q = -2*v - v + 9, 0 = -v + l*q + 1. Suppose w - v - 1 = 0. Determine u(w). 6 Let l(r) = 4 + 3*r + 2*r - 3*r. Let p be (10/8)/5 + (-294)/56. What is l(p)? -6 Let t(d) be the first derivative of -d**4 + d**3/3 - 3*d**2/2 + 2*d - 62. What is t(2)? -32 Let c = -12 + 8. Let t(x) = 6*x**3 - 15*x**2 + 20*x + 5. Let h(o) = o**3 - 3*o**2 + 4*o + 1. Let b = -126 - -128. Let w(n) = b*t(n) - 11*h(n). Give w(c). -1 Let s(i) = i**3 + i**2 - 4. Let j = 39 - 34. Suppose 0 = 3*d, 0 = z - 4*z + j*d. Determine s(z). -4 Let d(t) = -t - 3. Let c = -122 + 72. Let z = 41 + c. Determine d(z). 6 Let j(u) = -6*u - 98 + 0*u**2 - 4*u**2 + 0*u**2 + 96. Determine j(-2). -6 Let f = 10 + -6. Let z(b) = -3*b**3 - 6*b**2 + 12*b**3 - 3 - 12*b**3 + 4*b**3 + 6*b. Calculate z(f). -11 Let y(a) be the second derivative of a**4/12 + 5*a**3/6 - 4*a**2 + 593*a. Determine y(-6). -2 Let m(q) be the third derivative of -q**6/120 + q**5/30 + q**4/6 - q**3/2 + q**2 - 285. Suppose -5*l + 2*z + 7 = 0, 3*l = 8*l + 3*z - 27. What is m(l)? 0 Let q(u) be the first derivative of u**3 + 2*u**2 + 7*u + 268. What is q(-3)? 22 Suppose 4*n - 27 = 1. Let x = 9 - n. Suppose 0 = 2*p + 3*p - x*g + 29, 5*p - g + 27 = 0. Let t(r) = r**3 + 6*r**2 + 7*r + 6. Give t(p). -4 Let k(w) be the third derivative of w**4/24 + 7*w**3/6 - 42*w**2. Let g(z) = z**2 - 8. Let f be g(0). What is k(f)? -1 Let g(j) = 15 - 11 - 6*j - 5*j + 6*j. Let w(m) = 6*m - 4. Let c(q) = -5*g(q) - 4*w(q). Let k(f) = f**3 + 10*f**2 + 7*f - 12. Let r be k(-9). Determine c(r). 2 Let k(q) = -9*q + q**3 + 0 + 7*q**2 - 6 - 1. Let y be k(-8). Let n(p) = 2*p**2 - 1. Calculate n(y). 1 Let z(l) = 0*l + 0*l + 2 - 2*l. Suppose 0 = 4*i - 2*i + 5*v - 12, 2*v = 2*i - 12. Suppose i = -2*y - 3*x - 7, 2*y = -4*x - 16. Determine z(y). 6 Suppose -2*u + 3*q = u - 12, 0 = -4*u - 5*q + 34. Suppose 0 = -4*x - u + 62. Let i = 17 - x. Let z(c) = c**2 - 3*c + 3. Calculate z(i). 3 Let x(b) = -b**2 + 6*b. Let r = 59 + -53. Calculate x(r). 0 Let m(r) be the first derivative of 2*r**2 + 0 - r**2 - 5 - r + 0. Suppose 2*x - 6 = 5*n - 32, 0 = 2*x + 5*n - 14. Determine m(x). -7 Let m(n) = 2*n + 1. Let d = 8 - 4. Let g(t) = 1 + 2 + d*t - 1 + 1. Let s(u) = -2*g(u) + 5*m(u). Calculate s(-3). -7 Let v be (((-30)/(-9))/1)/(14/(-21)). Let d be (v + 4 - (-9)/3)*-2. Let u(j) = -j**3 - 4*j**2 + j + 5. What is u(d)? 1 Let s(m) = -m**2 + 15*m + 19. Let u be s(16). Let v(i) = -4 - 3*i**2 + 3 + 2*i + i**2. Determine v(u). -13 Suppose 5*u = -11 - 29. Let z(i) = i**3 + 8*i**2 - i - 7. What is z(u)? 1 Let f(b) be the first derivative of -3*b**2 + 7*b + 312. Determine f(5). -23 Suppose 8 = a + 4. Let r(z) = z**2 + z + 2. Let i be r(-1). Let y(f) = 66 + 67 - 5*f + i*f**2 - 136. Determine y(a). 9 Let c(q) = q**2 - 2*q + 1. Let h be 0 - (-8 - (-21)/3). Determine c(h). 0 Let c be 4 - (5 - 0)*-1. Let v(l) = 8*l + c + 7*l - 16*l. Determine v(4). 5 Let w(c) = 2*c - 4. Let y be w(-1). Let r(h) = h**2 + 7*h - 6. Determine r(y). -12 Let p(g) = -g**3 - 5*g - 129 + 31 + 31 - 5*g**2 + 43. Give p(-5). 1 Let y(q) = -q**2 - 5*q + 6. Let i(n) = 3*n**2 + 5*n + 2. Let w be i(-4). Let o = w + -35. Determine y(o). 6 Let c = -1169 + 1164. Let a(g) = 7*g - 4. Calculate a(c). -39 Let s be 4/(-1 + 5) + 4. Suppose s*w + 27 = -33. Let d = w + 11. Let j(o) = 7*o. Give j(d). -7 Let z(j) = -j - 1. Let p(d) = 47*d + 187. Let k be p(-4). What is z(k)? 0 Let c(b) = 1572*b - 1588*b + 7*b**3 + 14*b**2 - 6*b**3 - 2*b**3 + 26. Determine c(13). -13 Let c(l) be the second derivative of l**5/20 + 5*l**4/6 + 5*l**3/2 - 7*l**2/2 + 19*l + 2. Determine c(-8). 1 Let b(c) be the second derivative of c**4/6 - c**3/3 + c**2 + 22*c. Give b(4). 26 Let w(p) = p - 4. Suppose 75 = -2*s - 5*o, -2*s - 5*o = s + 115. Let h = s + 43. What is w(h)? -1 Let c(y) = y**2 + 3*y - 4. Suppose -12 = 4*q + g, -3*q - q + 5*g - 12 = 0. Let x be (-4)/(-10) - 26/(-10). Let s be q - (-4 - -1) - x. Give c(s). -4 Let h(q) = 3 - q - 4*q + 2*q + 2*q. Let x(k) = -4*k + 10. Let j(b) = -7*h(b) + 2*x(b). Calculate j(1). -2 Let g(i) = -i**2 + 13*i - 17. Let r be g(11). Let u = -7 - -11. Let a(b) = 2*b**2 + 5*b - 5*b**3 + u*b**3 + 1 + 2*b**2. What is a(r)? 1 Let y(c) be the third derivative of -c**6/40 - c**5/30 + 16*c**2. Calculate y(2). -32 Let a(x) = -x**2 - x + 3. Let w(c) = -2*c - 5. Let r be w(-4). Let f be 9/27 + 1*(-1)/r. Calculate a(f). 3 Suppose 0 = 2*i - 4*x + 8, -2*x + 14 = 5*i - 2. Let p(m) be the third derivative of m**6/120 - m**4/12 + 10*m**2. Give p(i). 4 Let f(u) = -2*u. Let q(x) = -x**3 - 20*x**2 + 23*x + 45. Let w be q(-21). Suppose -5*z + 3*v + 1 = 8, -w = 3*v. Determine f(z). 4 Suppose 0*q - o - 3 = 5*q, -2*q + 3*o + 9 = 0. Suppose 2*b + 0 - 10 = q. Let s = -1 + b. Let x(u) = -u**3 + 6*u**2 - 4*u - 5. What is x(s)? 11 Let f(z) be the third derivative of z**5/12 - 5*z**4/24 + z**3/2 + 333*z**2. Calculate f(1). 3 Let u(c) = -c**2 - 3*c + 2. Suppose 3*k - 16 = 2*o - 58, -2*o = -5*k - 42. Suppose 4*i - 5*m = -o, -4*i + 2*i + m - 9 = 0. Calculate u(i). -2 Let n(a) = a**3 - a**2 - 2*a. Let i be -22*(-1)/(-10) + 2/10. What is n(i)? -8 Let z(b) = b**2 - 3*b - 1. Let y be 14/7*18/(-4). Let h = -6 - y. Suppose 2*n = t - h, -4*n - 12 + 0 = 4*t. Determine z(n). 9 Let n be (15/12 - 1)/(13/104). Let x(q) = -7*q**2 + q**3 - 2*q**n - q - 7 + 6. What is x(9)? -10 Let v(f) = -35 + 4 - 3*f + 8 + 6*f. Calculate v(0). -23 Let q(r) = r**3 - 1 - 2*r**2 + 3 + 7*r**2 + 1. Let k(v) = 4*v - 5. Let w be k(0). Determine q(w). 3 Let t be 3/(4/(-16)*-4). Let b(j) = -17*j**2 + 5*j + 20*j**2 - j**3 - t - 5*j. Calculate b(3). -3 Let f(u) = u**3 - 6*u**2 - u. Let d be f(6). Let t(a) = -2 + 2 + 4*a - 12. Let r(w) = 5*w - 13. Let l(q) = -5*r(q) + 6*t(q). Determine l(d). -1 Suppose -20 = -0*o + 5*o. Let t(i) = 5*i - 10. Let a(u) be the third derivative of -u**4/6 + 3*u**3/2 - u**2. Let d(b) = -7*a(b) - 6*t(b). Calculate d(o). 5 Let l(n) = -n**2 - n + 3. Suppose -21 = -2*q + 9. Suppose -5*v - q = 2*w, w + 0 = v + 3. Give l(w). 3 Let z be 52/(-8)*(-4)/1. Suppose -z - 10
{ "pile_set_name": "DM Mathematics" }
*m = -3*m - 15. Suppose 31 = 2*f + 3*y, x = -2*y + y + m. List the prime factors of f. 11 Let x = 8 - 2. What are the prime factors of x? 2, 3 Let j = 5 - 0. Suppose 55 - 1 = 3*c - j*z, 3*z = -2*c + 36. What are the prime factors of c? 2, 3 Let p(n) = -n**3 + 4*n**2 + 5*n + 6. List the prime factors of p(5). 2, 3 Suppose 4*b = -2*y + 146, 2*b - 2*y - 57 = 7. List the prime factors of b. 5, 7 Let q(r) = 6*r**2 + 18*r + 6. Let w = 7 + -3. Let p(i) = 2*i**2 + 6*i + 2. Let t(a) = w*q(a) - 11*p(a). List the prime factors of t(-4). 2, 5 Let k(d) = -d**2 + 4*d + 4. Let z be k(4). Suppose -s = -z*s. Suppose s*g = 3*g - 9. What are the prime factors of g? 3 Let w be (-2 - 7)/(3/(-10)). Suppose 0*k + r - w = -k, r = 0. List the prime factors of k. 2, 3, 5 Let k be (36/8)/(1/2). Suppose 3*c = -k, -4*l + c + 39 = -32. What are the prime factors of l? 17 Let d(n) = n**3 + 28*n**2 + 23*n + 4. List the prime factors of d(-27). 2, 7 Let k be ((-3)/2)/((-6)/(-8)). Let n = 0 - k. List the prime factors of 3/n*66/9. 11 Suppose -3*k + 2*k + 2*a = -71, 3*k - 213 = -5*a. What are the prime factors of k? 71 Let v(g) = -g - 8. Let x be v(-8). Suppose x = 3*r - 0*k - 3*k - 9, -r - 5*k = -3. List the prime factors of r. 3 Let y be 5/10*(-2 + 0). Let n = y + 26. What are the prime factors of n? 5 Suppose -4*d + 10 = d. Let t(l) = 2*l**2 + l**3 - 6*l**2 - 3*l + d - 1. List the prime factors of t(5). 11 Let h(q) = 5*q**2. Let d be h(1). Suppose j - 8 = -d*o - 2*j, 40 = 5*o - 5*j. Suppose 56 = 8*l - o*l. List the prime factors of l. 2, 7 Suppose -2*n - 8 = 2*n. Let g(f) = 8*f**2 + 3*f + 2. Let s be g(n). Suppose 0*k - s = -4*k. List the prime factors of k. 7 Let m(u) = 3 + 2 - 25*u + 0 + 24*u. List the prime factors of m(-8). 13 Let z be (1 + -2 + 2)*7. Suppose 3*v + 133 = -3*n + 52, 0 = -2*n - v - 55. List the prime factors of ((-48)/n)/(2/z). 2, 3 What are the prime factors of 4*(-12)/(-16) - -75? 2, 3, 13 Let v = 55 - 36. What are the prime factors of v? 19 Let t be -9 - 0/(1 - 0). Let z(c) = -c**3 - 5*c**2 - 2*c - 5. Let x be z(-4). Let k = t - x. List the prime factors of k. 2 What are the prime factors of 3 + -3 + 54 - -5? 59 Let w(t) = 3*t**2 - 6*t + 14. List the prime factors of w(5). 59 Suppose 0 = 3*k + 3*i + 2*i + 11, -5*k + 2*i = -23. List the prime factors of (-41)/(-2)*(5 - k). 41 Let w be 2/(94/30 + -3). List the prime factors of 110/w + (-2)/6. 7 List the prime factors of (-12)/20 - 592/(-20). 29 Let x(b) = b**2 + 6*b + 9. List the prime factors of x(14). 17 Let v(x) be the second derivative of x**7/2520 + x**6/720 - x**5/40 + x**4/12 + x. Let m(l) be the third derivative of v(l). List the prime factors of m(3). 3 Let x(z) = -5 + z**2 + 6 - 5*z + 4. What are the prime factors of x(5)? 5 Let t(z) = -z**2 - 10*z + 3. Suppose -2*s - 7 = -4*s - 3*f, 24 = -s + 4*f. Let c be s/16 - (-70)/(-8). What are the prime factors of t(c)? 2, 3 Suppose 0 = 2*m - 15 - 5. Let r = m - 6. List the prime factors of r. 2 What are the prime factors of 9/((-27)/(-30)) - 1? 3 Let f = 26 + 2. What are the prime factors of f? 2, 7 Let u(y) = -9*y**3 - 3*y**2 - 4*y - 4. Let c be u(-3). Let p be (6/(-4))/((-24)/c). What are the prime factors of 178/p - (-8)/28? 13 Suppose -84 - 112 = -4*p. What are the prime factors of p? 7 Suppose -4*y - 5*b = -228 - 129, 0 = -3*y + 5*b + 294. What are the prime factors of y? 3, 31 List the prime factors of -82*((-10)/16)/((-14)/(-56)). 5, 41 Let v(k) = -k**3 + 5*k**2 - k + 3. Let u be v(5). Let w(j) = -3*j + 2. What are the prime factors of w(u)? 2 Let i = 6 + 1. Let p(t) = -t**2 + 7*t + 3. Let o be p(i). Suppose 3*u = -3, -o*k + 3*u = 2*u - 28. What are the prime factors of k? 3 Let j(l) = l + 48. Let q be j(0). Let k = -27 + q. What are the prime factors of k? 3, 7 Let x = -11 + 9. Let g = x + 34. What are the prime factors of g? 2 Let c be (2 + -1)*(-12)/(-6). What are the prime factors of 8/(-10)*(-35)/c? 2, 7 Let o = -10 + 2. Let h = 6 + o. List the prime factors of (5 - 3)*(h + 4). 2 What are the prime factors of 107 + ((-12)/(-3) - 2)? 109 Let i be 2/1*7/(-2). Let k = i - -10. Suppose 0 = k*u - 3 - 12. List the prime factors of u. 5 Suppose 2*z = -4*u + 238, 0 = 5*z + u - 284 - 275. Suppose 0 = 3*f - 2*o - 84, -2*o = -4*f + o + z. Let v = -15 + f. What are the prime factors of v? 3, 5 Let u = 482 - 264. List the prime factors of u. 2, 109 Suppose 3*t = 2*f + 173, -f - 2*f = 5*t - 282. What are the prime factors of t? 3, 19 Suppose -2*g - 21 = -5*a, 2*a - 4 = -0*g + 3*g. Suppose -3*u = -4*u + 4*o + 19, g*o - 1 = -u. Suppose 2*f = -3 + u. What are the prime factors of f? 2 Let n be 4/(-6)*6/4. Let o be (-1)/3*(-7 - n). Suppose -o*g - 5*d = -39, -g + 0*g + 5*d = -12. List the prime factors of g. 17 Let t(g) = -g - 2. Let b be t(-4). Let p(l) = -l**3 - l**2 - 1. Let r(w) = w**3. Let z(k) = p(k) + 2*r(k). What are the prime factors of z(b)? 3 Let w(t) = t**2 + 8*t. List the prime factors of w(-9). 3 Let n = -218 - -150. Let s = -48 - n. What are the prime factors of s? 2, 5 Let z be (2 - -1)/(-3 - -4). Suppose -225 = z*j - 8*j. List the prime factors of j. 3, 5 Let t = -78 + 134. List the prime factors of 21/(-14)*t/(-6). 2, 7 Let n be -1 + 0 + (6 - 3). Let x = -2 - n. What are the prime factors of ((-52)/16)/(1/x)? 13 Suppose 5*g - 109 = 86. List the prime factors of g. 3, 13 Let i = -4 + 9. Let u = -7 + i. List the prime factors of 1/(34/16 + u). 2 Let y = -34 - -294. What are the prime factors of y? 2, 5, 13 Let l be (1 + 1 - 2)/(-2). Let d(j) = j**3 + j**2 + 16. Let s be d(l). Let t = s - 6. What are the prime factors of t? 2, 5 Suppose 0 = 5*x - x - 124. Suppose 4*k = -5*h + 57, 3*h + 2*k = x + 4. List the prime factors of h. 13 Let f(y) = y - 3. Let w(j) = -j**3 - 4*j**2 - 5*j - 4. Let x be w(-4). What are the prime factors of f(x)? 13 Suppose 2*g = 3*p + 7*g - 522, -4*g = -5*p + 907. What are the prime factors of p? 179 Let y = -2 - -1. Let k be (-2 - -3)/(y/(-2)). List the prime factors of (-21 + 0)*k/(-6). 7 Let q(n) = -n**3 + 5*n - 2. Let f be q(3). What are the prime factors of f/(-7)*(-25)/(-2)? 5 Let t = -47 + 95. What are the prime factors of t? 2, 3 Suppose p - 15 = -2*p. Suppose p*n + 4*u - 45 = 0, -4*u - u = -3*n + 27. List the prime factors of n. 3 Let v = -13 + 18. Suppose -3*g + v*t = 6, 2*t - 12 = -g - t. What are the prime factors of g? 3 Let b = -66 + 133. What are the prime factors of b? 67 Let z(w) = 4*w**2 - 9*w. List the prime factors of z(6). 2, 3, 5 Let u(n) = -3*n - 9. Let h be u(-4). Let o = 6 - h. What are the prime factors of o? 3 Suppose -2*m - 4*y + 37 = m, -2*m + y + 43 = 0. What are the prime factors of m? 19 What are the prime factors of 174 - 7/((-21)/6)? 2, 11 Let w(c) = -2 + 3*c - 5*c + 9*c. Suppose 4*x - 1 = 7. List the prime factors of w(x). 2, 3 Let w(d) = -d - 4. Let a be w(9). Let p = 4 - -15. Let y = a + p. What are the prime factors of y? 2, 3 Let p(v) = -2*v**2 + 12*v + 2 - v**3 + 13*v - 25*v. List the prime factors of p(-3). 11 Let z(h) = -2*h**3 - 9*h**2 - 13*h - 5. What are the prime factors of z(-5)? 5, 17 Let f(s) = s**2 - 10*s - 10. Let b be f(12). Suppose 30 = 4*d - b. List the prime factors of d. 11 Let x be (-7)/(-2)*(-2 + 0). Let a = -2 - x. What are the prime factors of a? 5 Suppose -4*u = m - 6, -6*m + 4*m = 2*u - 6. Let p(b) = -b**2 + 6*b - 3. Let q be p(5). What are the prime factors of q/1*2 + m? 2, 3 Let d be 0/((-3 - -3) + 2). Let u be d*-3*(-3)/9. Suppose 2 = v - 0, -5*a - 2*v + 49 = u. What are the prime factors of a? 3 Let o be 1/(0 - 3/(-15)). Suppose -20 = -o*r + x, x + 4*x = -2*r - 19. What are the prime factors of r? 3 Let p(r) = -r**3 + 8*r**2 - r + 4. Let n be p(8). What are the prime factors of (2/3)/(n/(-66))? 11 Let c be 5/15 + 22/6. Suppose 3*j = -2*l + 7, -9 = -c*j + 3*l - 6*l. What are the prime factors of (j/(-4))/(5/(-20))? 3 Let l(y) = y**3 - 6*y**2 + 2*y - 6. Let b(r) = -3*r**3 + 18*r**2 - 6*r + 19. Let i(f) = -3*b(f) - 8*l(f). What are the prime factors of i(6)? 3 Let k be ((-6)/4)/(3/(-8)). Suppose 3*i = k*i. List the prime factors of i + -4*3/(-6). 2 Suppose 0 = -2*j - 0 - 4. Let w be (-1 - -2) + (0 - j). Suppose 0 = -w*c + 7*c - 8. What are the prime factors of c? 2 Suppose -8*t + 11 = -1317. List the prime factors of t. 2, 83 Suppose 7*g = 2*g + 25. Suppos
{ "pile_set_name": "DM Mathematics" }
0.06 + 13.06. Let h = 9 - m. Which is greater: h or k? k Let r be 1/3 - ((-168)/(-54) + -3). Is r smaller than -1? False Suppose x = 4*x. Are 0 and x unequal? False Let v(w) = -4 + 2 - 2*w + 4 + w**2 - 2*w. Let n be v(3). Are n and -3/4 equal? False Let k = -92 - -462/5. Which is smaller: k or 0.24? 0.24 Suppose r + 8 = -3*y, 2*r - 26 - 2 = 5*y. Suppose 0 = 4*o + d + d, -3*o + r*d + 11 = 0. Which is smaller: o or -0.16? -0.16 Let d = -1.1 + 0.1. Let o = d + 1.1. Let l = 0.1 - 0.2. Which is bigger: o or l? o Let j = 239/5 - 47. Suppose -22*c + 25*c = 0. Which is bigger: c or j? j Suppose 2*q = -c + 45, -4*q - 4*c + 87 = c. Suppose 3*s = g + 3*g + q, -2*g = -2*s + 12. Let j = 43/44 + -8/11. Which is greater: j or s? s Let k be (5 - 3) + (-2)/1. Which is bigger: -3 or k? k Let y = -4 - -1. Is y at least as big as -2? False Let l = -1/2764 - 181039/8292. Let z = l + 45/2. Which is greater: z or 2/5? z Let h = 87 - 237. Which is bigger: -151 or h? h Let z(m) = m**3 + 2*m**2 + m + 2. Let h(y) = -3*y**2 + y. Let g be h(1). Let x be z(g). Suppose w - 3*w - 9 = -3*b, -3*w - 6 = 3*b. Is x less than b? True Suppose 3*j = -j + 8. Suppose j*u - 2*d = u - 5, -5*u + 3*d - 4 = 0. Suppose 5*g = -4 - u. Which is bigger: g or -1/2? -1/2 Let n be 0 + 22 - (3 + -1). Let p be n/6 - (-2)/(-6). Suppose -3*x + 0*x - 5*w = -6, 24 = -5*x + p*w. Is -3 <= x? True Suppose 2*p + 52 = u + 4*p, -u + 4*p + 28 = 0. Which is greater: 42 or u? u Let k be (680734/(-14))/(129/(-213)). Let x = 80286 - k. Let d = x + 2/43. Which is smaller: d or 0? 0 Let m be (8/14)/(-10 + 12). Is -3 less than m? True Let c be (2/1 - 3)*-1. Let b be ((-2)/(-6))/(1/12). Which is bigger: c or b? b Let u = 8/61 - -273/244. Suppose 0 = 8*f + 7 - 15. Is u greater than or equal to f? True Let b(d) = 10*d**2 - 2. Let a be b(2). Suppose 13 - a = 5*h, -v = -4*h - 21. Let p be (6/(-52))/((-3)/4). Is p smaller than v? True Let q = -8 - -10. Let d be q*-1*(-1)/(-8). Is 3/8 greater than or equal to d? True Suppose 13*b = 10*b - 108. Which is smaller: b or -37? -37 Let u = 125 - 143. Is -19 greater than or equal to u? False Suppose 4*f = 5*q + 2 + 10, 5*f = -4*q + 15. Which is greater: 13/3 or f? 13/3 Let n = -3/8 + -7/24. Does n = 0.1? False Let g(s) = s**3 + 7*s**2 + s - 25. Let k be g(-6). Which is smaller: 2 or k? 2 Let d be -2*1 - (-5 + -1). Suppose i - 11 = -4*o, -d*o + 38 = -2*i + 12. Suppose 0 = -2*t + 6*t + o. Which is smaller: t or -2/3? t Let d(i) = -7*i. Let l be d(-1). Suppose l*k = -2*s + 2*k + 1, 3*s - 3*k - 12 = 0. Suppose -s*r + 10 = -5. Which is greater: 6 or r? 6 Let a(v) = 18*v. Let m be a(-1). Let h be 6/(-27) + (-10)/m. Which is smaller: h or 2/7? 2/7 Let w be 2*(-1)/6*6. Let m be (8 + -2)/w + 3. Which is smaller: -6/5 or m? -6/5 Let n = -0.148 - 0.052. Which is smaller: n or 16? n Suppose 26 = -0*s + 3*s + g, -4*s = g - 36. Which is smaller: s or 11? s Let l = 109 + -95. Does 11 = l? False Let j be 10/2 - -1 - 3. Suppose -6*i = -j*i - 3. Which is smaller: i or 5/6? 5/6 Let a = 3 + -2.9. Let s be 22/28 + 11/(-22). Is a equal to s? False Suppose 3*y - 99 = 30. Is 44 at most as big as y? False Let z = -1/20 + 43/60. Is -0.7 > z? False Let p(b) = b + 5. Let j be p(-8). Let y be -5 + -4*12/(-16). Is j bigger than y? False Let p(z) = z**3 + 2*z + 7*z**2 - z + 4*z + 1 + 2*z. Let b be p(-6). Is -4 at least b? True Let z(j) = -4*j - 3. Let t be z(-2). Suppose -4*l = t*a + 19, 2 + 11 = -4*l - 3*a. Is l less than 4/9? True Suppose 0 = -v, -4*g - 5*v + 1650 = g. Let n = 2306/7 - g. Is n >= 0? False Let u be -2 + -1 - (-10 - -6). Which is smaller: 2/11 or u? 2/11 Let r be -1 - (0 + -1 - 1). Let b = r - -1. Let h be (4/(-30))/((-2)/b). Which is smaller: 1 or h? h Suppose -3*b = -5*s - 0*b + 5, -4*s + b = -4. Is s greater than or equal to 2/29? True Let t = 2 - 3. Let s(l) be the first derivative of -l**2/2 + 2*l - 3. Let p be s(2). Which is bigger: p or t? p Let h = -1 - -1. Let m = -0.27 - 11.73. Let k = -12.2 - m. Which is greater: k or h? h Let y(t) = -t**3 - 11*t**2 - 10*t + 5. Let w be y(-10). Suppose 4*p - 23 = 5*p - 4*c, -25 = -w*c. Are -3 and p equal? True Suppose 0 = -2*u + 5*h - 24, u - 4*u = -2*h + 14. Let q = -0.2 + 4.2. Let p = -5 + q. Is u bigger than p? False Suppose 6*q - 58 + 10 = 0. Let b be -1*(q - 2)*1. Do -6 and b have the same value? True Let x(n) be the first derivative of -5*n**4/4 - n**3/3 - n**2/2 - n - 1. Let g be x(-1). Let o = g - 4. Is o greater than 1? False Let c(w) = w + 8. Let j = -15 - -8. Let z be c(j). Do -2/9 and z have the same value? False Let s = -3.75 + 1.74. Let m = -0.01 - s. Let y = m - 2. Is 0 at most y? True Let a(u) = -u**3 + 7*u**2 + 8*u + 2. Let j be a(8). Suppose 1 = -3*x - j. Which is smaller: 0 or x? x Suppose -7*t = -3*t. Are t and 0 unequal? False Let z = 11 - 8. Suppose 10 - 1 = z*g. Is 2 at most as big as g? True Let q(j) = 3*j - 2. Let h be q(-4). Let t = -11 - h. Let y = 0 + 3. Is t != y? False Let p = 901/20 - 183/4. Which is bigger: -1 or p? p Let c(y) = 2*y**3 + 5*y**2 + y + 4. Let f(h) = -h**2 - 7*h - 5. Let n be f(-7). Let l be c(n). Let b be (-8)/(-36) - (-64)/l. Which is smaller: b or -1? -1 Let p = -9441/13 + 727. Is p at most 1? True Let y = 0.4 - 0.3. Let o = 1 + -1. Let u = o + 0.1. Are u and y equal? True Let f(i) = -5*i**2 - 3*i + 14. Let t(z) = -z**2 + z + 1. Let j(x) = f(x) - 4*t(x). Let g be j(-8). Does g = 2? True Suppose -3*v + 23 = -25. Is v at most 18? True Let b(s) = 5*s - 18. Let j be b(4). Is j < -2/7? False Let w be (-14)/10 - (-10)/10. Let n be ((-2)/4)/(2/(-4)). Are n and w non-equal? True Let b = -14 + 15. Which is bigger: 16 or b? 16 Suppose -5*g - j - 4*j = 5, 3*j + 3 = 4*g. Let a = -8 - -2. Let s be (27/a)/(99/(-12)). Which is smaller: g or s? g Let v(c) = -c - 8. Suppose 0 = -4*o - 4*k - 32, 0*o + o + 3*k + 4 = 0. Let a be v(o). Which is smaller: 12/5 or a? a Let m = 0.18 - -1.32. Let x = m - 0.5. Is 10 equal to x? False Let d(i) = i**2 - 23*i - 57. Let k be d(25). Do -12 and k have the same value? False Let s(y) = y**2 + 4*y + 4. Let q(g) = -g**3 + 5*g**2 - g + 2. Let k be q(5). Let x be s(k). Is x less than -2/21? False Let d = 1.6 + -1.4. Let n = d - 0.2. Which is greater: n or 5? 5 Suppose 2*t + 3*t = 0. Let l be (-5 - (-2 - t)) + 5. Is l at most as big as 2? True Let u = 36 - 25. Is u at least as big as 19/2? True Let m = 2/587 + -1771/2935. Which is smaller: -2 or m? -2 Let f = 3/13 - -4/39. Let a = -3 + 4. Is a smaller than f? False Suppose 2*o - 24 = -10. Let p = -4 + o. Let j = 0 + 2. Is p > j? True Let d = -10 - -7. Is 0 equal to d? False Let x = -5 + 10. Suppose x*s - 20 = s. Is 5 greater than or equal to s? True Let f = -1.5 - -1.8. Are -10 and f equal? False Let o(f) = -f**3 - 4*f**2 - 4*f - 2. Let n be o(-3). Let x = 3 - n. Which is smaller: x or 1? 1 Suppose 2*y + 4 = k, 14 - 2 = 3*k + 5*y. Suppose 7*z - 3 = k*z. Let b = 13/4 - 3. Which is greater: z or b? z Let j be -3 - 346/(-2) - 2. Suppose 2*i - j = 6*i. Let h be (2/16)/(7/i). Which is smaller: h or -1? -1 Let v = -1 - -14. Let c = v + -12. Let u = -2 + 1. Which is bigger: u or c? c Let t = 2.6 + -2.49. Let x = t - -3.89. Suppose -5*u = -3*l - 5, 6*u + 5*l - 5 = u. Is u greater than x? False Let j(x) = x - 9. Let v be j(14). Is 6 at least v? True Suppose 5*v = 2*v. Let l = v + 1. Let t = l - 2. Is t > -1? False Let a = 11.1 + -11. Is -1 < a? True Suppose -3*z + 7 = -x + 2*x, z - 9 = 3*x. Which is smaller: -19 or x? -19 Let i be 92/(-6) + 8/(-12). Let h be (-1)/4 - 84/i. Suppose 0 = h*z + 14 + 16. Is z at least -6? True Let l = 431 + 335. Let b = l + -23748/31. Which is greater: b or 0? 0 Let y = 56 + -55. Is y <= 3/34? False Let k = 6 - 8. Let g = 18 - 11. Let n = 6 - g. Which is smaller: k or n? k Suppose -w = -2*w. Let y(n) = -n**3 - n**2 - 6. Let z be y(w). Let l be (-3)/(-4) + z/(-8). Is l < 2? True Suppose -3*o = 2 - 5. Suppose -23 = -3*x + 5*y, 0 = 2*x - 4*x - 5*y - 18. Let q be (-88)/(-42) - (x - -1). Is o < q? False Let m = -5.8 + 2.8. Which is bigger: m or 3? 3 Suppose 2*s = 0, 4*z + 3*s = -2*s - 4. Is 8 not equal to z? True Let h(v) = -14*v - 2. Let c be h(-1). Let i = -14 + c. Which is bigger: -3 or i? i Let z = 6.5 + -6.5. Are 5 and z unequal? True Let i = 35 + -34. Which is smaller: i or 4/7? 4/7 Let f = 7 + -13. Let k = 3 + f. Su
{ "pile_set_name": "DM Mathematics" }