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t w(r) = -6*r**3 + r - 1. Let h(c) = 25709*c**3 - 3282*c + 3282. Give -h(p) - 3282*w(p). -6017*p**3 Suppose j + 0 = 3. Let o(c) = 2*c - 3. Let n = 315 - 310. Suppose 2*s = -10, 3*i = 2*i + n*s + 27. Let z(h) = -h + 2. Give i*o(r) + j*z(r). r Let i(s) = 21*s. Let f(d) = -951*d + 2873*d - 956*d - 959*d. Suppose 5*k - 2*w + 60 = -0*k, 0 = -4*w - 20. What is k*f(b) + 5*i(b)? 7*b Let u(o) = -o - 50. Let x(d) be the third derivative of d**3/6 - 20*d**2 + 13*d - 6. Give -u(p) + 2*x(p). p + 52 Let v(s) be the first derivative of -2*s**3 + 13*s**2 + 6*s - 2192. Let i(r) = r**2 - 5*r - 1. What is -11*i(b) - 2*v(b)? b**2 + 3*b - 1 Let n be (-10)/((2/6)/1). Let c(k) = -9*k + 16. Let f(g) = 5*g - 9. Let b(o) = -4*c(o) - 7*f(o). Let s(l) = 8*l - 10. Determine n*b(m) + 3*s(m). -6*m Let p(b) = 6*b + 4 + 4*b - 2 - 2*b. Let z(v) = -v + 43. Let g be z(33). Let t(q) = -q. Calculate g*t(a) + p(a). -2*a + 2 Let c(t) = 2*t**2 - 2*t - 3. Let b(w) = 3*w**2 - 3*w - 4. Let p(o) = 84*o - 508. Let u be p(6). Suppose -5*f = -8 - 7. Determine f*b(l) + u*c(l). l**2 - l Let y(q) = 1857*q + 48. Let t(k) = -467*k - 12. Give 9*t(l) + 2*y(l). -489*l - 12 Let q(i) = -i**2 + i - 6. Let z(h) = 14*h**2 - 7*h + 93. Calculate 5*q(f) + z(f). 9*f**2 - 2*f + 63 Let q(k) = -63*k - 2. Let n(a) = -109*a - 3. Give -6*n(z) + 11*q(z). -39*z - 4 Let a(x) be the first derivative of 4*x**3/3 - x**2 + 7*x - 39136. Let p be (1 + 0)/(1/(-5)). Let u(n) = 2*n**2 - n + 4. Give p*u(c) + 3*a(c). 2*c**2 - c + 1 Let h(m) = 17*m - 1. Let l(k) = -4*k + 42. Let g(q) = -84*q + 868. Let b(x) = -6*g(x) + 124*l(x). Give -5*b(v) + 2*h(v). -6*v - 2 Let c(g) = -7*g**3 + 7*g**2 + 32*g + 1. Let z(k) = -6*k**3 + 7*k**2 + 25*k. Calculate 4*c(b) - 5*z(b). 2*b**3 - 7*b**2 + 3*b + 4 Let b = -31 + 61. Suppose -3*d = 2*d - b. Let f(z) = 19*z + 13. Let y(h) = -7*h - 6 - 2 + 4*h + 6. What is d*f(p) + 39*y(p)? -3*p Let r(d) = -11*d**2 + 6. Suppose 8*c - c - 189 = 0. Let v be -12*(c/(-6))/(-9). Let f(m) = m**2 - 1. What is v*f(t) - r(t)? 5*t**2 Let c(r) = -4*r - 4. Let l(n) = -n + 15. Let d(h) = -18*h + 306. Let i(q) = -4*d(q) + 81*l(q). What is -14*c(j) + 6*i(j)? 2*j + 2 Let z(y) = 2*y**2 - 6*y - 3. Let l(h) = -4*h**2 - 19*h + 21. Calculate -l(k) + 2*z(k). 8*k**2 + 7*k - 27 Suppose -2*j + 168 = -6. Let f = 81 - j. Let b(i) = -i - 1. Let g(q) = q**2 - 6*q - 6. Give f*b(s) + g(s). s**2 Let t(z) = -z - 18. Let m(f) = 155*f - 109. Calculate -m(q) + 6*t(q). -161*q + 1 Let t(u) = -983*u - 20. Let r(p) = 992*p + 16. Determine -5*r(n) - 4*t(n). -1028*n Let w(g) = -5229*g**2 + 21*g + 63. Let l(k) = 1046*k**2 - 4*k - 12. Calculate -21*l(d) - 4*w(d). -1050*d**2 Let l(z) = -9*z - 4. Let o(w) = -10*w - 3. Let d(v) = -3*l(v) + 4*o(v). Let h(b) = -90*b. Determine -27*d(y) + 4*h(y). -9*y Let g(a) = -55*a**2 - 15 + 30 + 1985*a - 21 - 1985*a. Let y(p) = 56*p**2 + 7. What is -7*g(z) - 6*y(z)? 49*z**2 Let g(z) = 43*z**3 - 190*z**2 + 7*z + 13. Let s(x) = 16*x**3 - 64*x**2 + 2*x + 4. What is 2*g(j) - 7*s(j)? -26*j**3 + 68*j**2 - 2 Let u(y) = 21*y**2 + 44*y - 268. Let g(z) = 2*z**2 + 4*z - 1. Determine 22*g(a) - 2*u(a). 2*a**2 + 514 Suppose 103*b - 24*b - 103 - 134 = 0. Let t(m) = -1364*m**3 - 88*m**2 + 88*m. Let r(n) = -47*n**3 - 3*n**2 + 3*n. Determine b*t(d) - 88*r(d). 44*d**3 Let r(z) = 2378*z**2 + 8*z - 12. Let o(h) = 425659*h**2 + 1434*h - 2151. Give 4*o(p) - 717*r(p). -2390*p**2 Let n(s) = -248 - 243 - 3*s**2 - 5*s**3 - 31*s**3 + 488 + 3*s - 11*s**3. Let i(a) = -5875*a**3 - 376*a**2 + 376*a - 376. What is 3*i(q) - 376*n(q)? 47*q**3 Suppose -5 = -c + 16. Let j(s) = c*s + 16*s**2 - 61*s + 32*s**2. Let h(b) = b**2 - b. Give 40*h(p) - j(p). -8*p**2 Let c = 129 - 77. Let m = c - 51. Let j(t) = t + 1996 - 1996. Let g(b) = -7*b + 1. Give m*g(w) + 5*j(w). -2*w + 1 Let t(n) = n**3 - 7*n**2. Let q(h) = -2*h**3 + h**2 + 3*h - 6. What is q(w) + t(w)? -w**3 - 6*w**2 + 3*w - 6 Let x(d) = 73*d**2 - 19*d - 17. Let w(l) = 2*l**2 - 4*l. Determine 5*w(u) - x(u). -63*u**2 - u + 17 Let s(y) = 5*y - 1171. Let w(f) = 3*f - 1. What is s(d) - 2*w(d)? -d - 1169 Let a(s) be the first derivative of 3*s**2/2 + 6*s - 9301. Let w(p) = -4*p - 5. Calculate -3*a(q) - 2*w(q). -q - 8 Let t(c) = -10*c**3 - 15*c + 2. Let i(g) = -6*g**3 - 16*g + 2. Determine -3*i(u) + 2*t(u). -2*u**3 + 18*u - 2 Let f(q) = 5009*q**2 + 4*q + 4. Let w(n) = 19134401*n**2 + 15279*n + 15279. What is 30558*f(d) - 8*w(d)? -10186*d**2 Let n(x) = x**3 - 5*x - 1. Let d(o) = -7*o**3 - 3*o**2 + 27*o + 3. Determine -d(q) - 5*n(q). 2*q**3 + 3*q**2 - 2*q + 2 Let p(n) = 13*n - 67. Let f(b) = -26*b + 121. What is -5*f(t) - 9*p(t)? 13*t - 2 Let w(m) be the first derivative of -5*m**3/3 + 2*m**2 + 8*m - 11. Let c = -1053 - -1046. Let v(g) = 3*g**2 - 2*g - 4. Calculate c*v(s) - 4*w(s). -s**2 - 2*s - 4 Let b(s) = 14*s**3 + 18*s**2 - 319*s - 12. Let x(q) = -2*q**3 - 3*q**2 + q + 2. What is -b(u) - 6*x(u)? -2*u**3 + 313*u Let r(m) = 1975*m**3 - 40*m + 2. Let j(f) = 658*f**3 - 15*f. Give 8*j(h) - 3*r(h). -661*h**3 - 6 Let a(x) = -3881*x**2 - 35*x - 9. Let t(r) = 970*r**2 + 8*r + 2. What is -2*a(l) - 9*t(l)? -968*l**2 - 2*l Let k(z) = -2*z**3 + 18*z**2 + 24*z + 2. Let w be k(10). Let y be (w/(-63))/((-4)/(-18)). Let s(v) = -3*v**2 + 3*v - 1. Let b(p) = -p. Give y*b(c) - s(c). 3*c**2 + 1 Let b(z) = -8*z**2 + z. Suppose -131*l = 163*l + 5*l - 1495. Let d(u) be the second derivative of -u**4 + u**3/3 - 2*u. Give l*d(y) - 8*b(y). 4*y**2 + 2*y Let u(a) = -2*a**2 - a - 4. Let s(v) = -17*v**2 - 9*v + 907. Determine 2*s(z) - 18*u(z). 2*z**2 + 1886 Suppose 0 = -m - m + 5*d - 3, 2*d - 21 = 3*m. Let j(x) = 3*x - 4. Let i(b) be the first derivative of 6*b**2 - 17*b - 49. Determine m*j(c) + 2*i(c). -3*c + 2 Let x(t) = 2*t**3 + t**2 + t. Let v = 199355 - 199352. Let o(s) = s**2 + 6*s. Let d(y) = y**2 + 5*y. Let p(i) = 5*d(i) - 4*o(i). Calculate v*p(u) - 3*x(u). -6*u**3 Suppose 0*b + 110 = 2*b. Let y(v) = -11*v**2 - 6*v. Let o(s) = -100*s**2 - 55*s. Let z be 819/(-31 - 60) - 3/(-1). Determine b*y(h) + z*o(h). -5*h**2 Let x(n) = -11*n - 7. Let k(j) = 343*j + 231. Give -2*k(o) - 63*x(o). 7*o - 21 Let r(w) = -4*w**2 + w - 11. Let v(x) be the third derivative of 3*x**5/20 - x**4/8 + 11*x**3/3 + 11*x**2. What is 5*r(h) + 2*v(h)? -2*h**2 - h - 11 Let t(v) = 2*v - 413. Let c(y) = 2*y + 2. Give 2*c(u) - t(u). 2*u + 417 Let t(j) = 64*j - 25. Let r(c) = 5*c - 4. What is -6*r(q) - t(q)? -94*q + 49 Let o(h) = -8*h**2 + 4*h + 4. Let l(f) = -4*f**2 + f - 1. Let z(w) = 2*w**2 + 3. Let u(m) = -3*l(m) - 2*z(m). Suppose -2*r - 707 = -699. Give r*u(q) - 3*o(q). -8*q**2 Let k(a) = a**3 - 39*a**2 + 73*a + 3. Let z(d) = -9*d**2 + 17*d + 1. Let w(n) = 6*k(n) - 26*z(n). Let p(x) = 18*x**3 - 11*x - 23. What is -4*p(o) + 11*w(o)? -6*o**3 + 4 Let j = -1581 - -1583. Let c(u) = -4*u**2 - 4*u - 3. Let a(y) = -4*y**2 - 13*y - 3 + 1 + y**2 + 10*y. Suppose 3*k = -6 - 3. What is j*c(x) + k*a(x)? x**2 + x Suppose -5872*k = -5874*k - 182. Let u(x) = 32*x + 6. Let h(j) = 481*j + 91. Give k*u(y) + 6*h(y). -26*y Let i(k) = -11*k**3 + 6. Let f(n) be the first derivative of 32*n**4 - 2*n - 75*n**4 + 44*n**4 + 133. Let u = 6 + -3. Give u*i(v) + 8*f(v). -v**3 + 2 Let o(k) = 20*k**3 + 2. Let t = -3958 - -3968. Let l(r) be the third derivative of -r**6/120 - 11*r**2. Give t*l(q) + o(q). 10*q**3 + 2 Let t(p) = 8*p**2 + 458*p - 32. Let b(c) = 12*c**2 + 459*c - 40. Give -4*b(u) + 5*t(u). -8*u**2 + 454*u Let g(h) be the third derivative of -79*h**6/120 + h**5/20 + h**3/2 + 77*h**2 - 17*h - 1. Let z(u) = 237*u**3 - 8*u**2 - 8. What is 8*g(a) + 3*z(a)? 79*a**3 Let k(a) = -23*a**3 + 3*a**2 - a - 14. Let s(g) = -24*g**3 + 4*g**2 - g - 17. Give -6*k(q) + 5*s(q). 18*q**3 + 2*q**2 + q - 1 Let i(x) = -46*x**3 + 5*x - 5. Let t(g) = -23*g**3 + 2*g - 2. Suppose -3*f - 18 = -3*c, -3*f - 5 = 2*c + 8. Determine f*t(d) + 2*i(d). 23*d**3 Let v(k) = -56*k + 3. Let l(i) = -57*i + 4. Suppose 44*m - 25 = -27*m + 401. Give m*v(r) - 5*l(r). -51*r - 2 Let l(y) = -50*y - 799. Let j be l(-16). Let v(h) = -4*h**2 + 2*h. Let a(f) = f**2 - f. Determine j*a(x) + v(x). -3*x**2 + x Let u(c) = -5*c**3 - 44*c**2 - 105*c + 52. Let j(p) = -p**3 - 9*p**2 - 26*p + 12. What is 9*j(i) - 2*u(i)? i**3 + 7*i**2 - 24*i + 4 Let b = -5336 - -5334. Let n(h) = 4*h**2 - h + 4. Let a(j) = j**2 + 1. What is b*n(m) + 7*a(m)? -m**2 +
{ "pile_set_name": "DM Mathematics" }
1 - 1 - 1) to the form n + j*u and give j. 10439 Express -1910*l**2 - l + 641*l**2 + 646*l**2 + 632*l**2 - 29 as s*l**2 + c*l + m and give s. 9 Express -556*l - 2 - 142*l - 8 + 154*l as d*l + y and give y. -10 Express -231*y + 121*y - 1056*y + 1 - 158*y + 2*y**3 in the form d*y + c*y**2 + t*y**3 + f and give d. -1324 Express -278*n - 77*n + 264*n - 204*n as f + h*n and give h. -295 Rearrange (20*i - 155 + 155)*(7*i - 2*i + 22*i)*(-5 + 4*i + 5) to p*i**3 + f + u*i**2 + l*i and give f. 0 Rearrange 9 + 402502*x**3 - 402256*x**3 + 11 to l*x**3 + n*x**2 + t + b*x and give l. 246 Express 2*c + 936888 - 5240*c**2 - 936888 in the form q*c**2 + f + u*c and give f. 0 Rearrange 960 - 322 - 317 - 321 - 2378*z to c*z + y and give c. -2378 Express -27 - 28 + 3 - 26 + 249*t + 74 as o*t + n and give o. 249 Rearrange 104*r - 173*r + 83*r + 7*r**2 + r**3 + 4 to h*r**2 + x + k*r + q*r**3 and give k. 14 Express 320 - 10*m + 3*m + 5*m - 258 as j + r*m and give j. 62 Express 2*f**4 - 4*f**4 - 325821*f + 325823*f + 2 + 29*f**2 in the form j*f**4 + t + m*f + h*f**2 + g*f**3 and give t. 2 Rearrange (-5 + 2*v**2 + 5)*(-6151*v + 8278*v + 10286*v + 4125*v) to q*v + l + i*v**3 + c*v**2 and give i. 33076 Rearrange -4909*o**2 - 1502*o**2 + 224*o**2 - 2122*o**2 - 2553*o**2 to s*o + v*o**2 + p and give v. -10862 Rearrange -p**3 + 2 - 213*p**2 + 63*p**2 + p + 92*p**2 + 85*p**2 to m + b*p**3 + q*p**2 + n*p and give n. 1 Rearrange (7*l - 17*l + 4*l)*(-9 - 4 - 18)*(-1 + 4*l + 1) to the form q*l + h*l**2 + u and give h. 744 Express (0*k - 2*k + 0*k)*(6757 + 21389 + 2623 + 51388) in the form f*k + q and give f. -164314 Rearrange 33*t**2 - 201*t + 37*t**2 - 1 + 438*t - 69*t**2 to d + m*t + n*t**2 and give d. -1 Rearrange -3123 + s + 0*s + 36 - 132*s**3 + 131*s**3 to r + g*s + n*s**2 + l*s**3 and give l. -1 Express (-1 + 0 + 2)*(1821*s - 3 + 3714*s - 2372*s) in the form y + q*s and give y. -3 Rearrange 26 - 217 + 20*h + 98 + 91 to the form v + k*h and give k. 20 Rearrange 2*z + 0 + 0 + (-1053*z + 1969*z + 3949*z + 416*z)*(-7 + 4 + 1) to q*z + g and give g. 0 Rearrange (-2 - 2*d + 2)*(4 + 1 - 4) + 0*d - 2*d + 0*d - 4*d + 4*d - d + 23 + 25996*d + 35 - 26120*d to q*d + b and give q. -129 Rearrange (-52 - 27 + 112)*(-2*f + 2 - 2) + 0*f + 4*f - 2*f + (f + 2*f - f)*(0 - 3 + 4) + (-2 - 3 + 3)*(13 + 11 + 21)*(-2*f + 2 - 2) to d + b*f and give b. 118 Rearrange (182 + 1097312*k - 1097312*k - 8*k**2)*(-8 + 1 + 9 - 2*k**2 - 3*k) to w*k**3 + v + y*k + q*k**4 + j*k**2 and give j. -380 Rearrange (4*g + 6 + 5 - 8)*(10 + 38 + 343) to the form o*g + i and give i. 1173 Rearrange -1238 + 793 + 7*x + 845 - 14*x + 0*x - x + 3*x + (-2 + 1 + 2)*(x + x - x) - 3*x - 2*x + 3*x - 2*x - 1 + 1 to g*x + a and give a. 400 Express 83*j**3 + 184*j**3 + 581032*j**2 - 581025*j**2 - 1 - j + (-j**2 + 0*j**2 - j**2)*(-4*j + 3*j + 2*j) as v*j + s*j**2 + m*j**3 + n and give s. 7 Rearrange -2210*c - 2 + 2 - 1 + 1454*c to l*c + o and give o. -1 Express -266 - 2*w**2 + 2*w**3 + 0*w**2 + 136 + 19*w + 130 in the form i*w**2 + t + k*w**3 + o*w and give o. 19 Rearrange 33*j - 3505 + 3630 - 10*j to the form a + v*j and give a. 125 Rearrange -6*l**2 - 2*l**3 - 116*l - 148*l**4 + 33*l + 81*l to the form z*l**3 + a + t*l + y*l**2 + g*l**4 and give t. -2 Express (2 + l - 2)*(2604*l**2 + 4315*l**2 - 18608*l**2 - 14291*l**2) in the form d*l + m + x*l**2 + u*l**3 and give u. -25980 Express -8261*w - 1490*w - 1521*w + 824*w - 518*w as t*w + x and give t. -10966 Express (-s + s + s)*(2*s**3 - 3*s**3 + 0*s**3) + 4 - 4 + 2*s**4 + 249131*s**4 - 249140*s**4 - 36 - 4 as m*s**3 + o*s**2 + n*s**4 + j*s + v and give n. -8 Rearrange (-1 - 1 + 0)*(-8*i + 6*i - 3*i)*(1 - 2 + 3)*(-3 + 2 + 3)*(-17 - 42 - 1) to the form x*i + p and give x. -2400 Express ((-2 + 0 - 1)*(2*n + n - 4*n) - 1107*n + 1019 - 1019)*(-5*n**3 + 2*n**3 - n**3) as z*n + v*n**2 + f*n**3 + k*n**4 + u and give k. 4416 Rearrange 2*s**3 + 2*s**4 + 591*s - 173*s - 1275*s**2 - 419*s to the form y*s**4 + d*s**3 + t + w*s**2 + k*s and give w. -1275 Express -152*y - 22 - 2194*y + 13 + 9 as d + b*y and give b. -2346 Express -158*m**2 + 3 - 27*m**2 - 94*m**2 - 2*m as l + v*m**2 + x*m and give l. 3 Rearrange 3926 - 7878 + 3952 + 25051*t to the form j + y*t and give y. 25051 Express -k**3 - k**3 + 111*k**3 - k**2 + 328*k**3 as g + p*k + s*k**3 + z*k**2 and give z. -1 Rearrange 3 + 3*s**3 - 3 + (-12*s + 4*s**2 + 12*s)*(-234*s - 21*s + 7*s) to the form x*s**2 + w + c*s + n*s**3 and give n. -989 Rearrange 2*t + 2*t**2 - 2*t + (3 + t - 3)*(-5*t + 4*t + 0*t) + 160*t - 136*t**2 + 42*t**2 - 157*t + 3*t**2 + 3*t**2 + 2*t**2 to o*t**2 + f*t + w and give o. -85 Rearrange -28*u**2 - 2*u**2 + 3 + 141*u - 160*u to the form y*u**2 + t*u + h and give h. 3 Express 60*o - 22*o + 13 + 4*o + 13*o in the form l + m*o and give m. 55 Express -85 - 84 + 17248*s + 269 - 100 in the form g*s + b and give g. 17248 Express -1833*l - 7*l**2 + 18 + 919*l - 1 + 914*l in the form f*l + s*l**2 + o and give s. -7 Express -5*k + 5*k - 8*k**2 + (-2 + k + 2)*(k + k + 0*k) + 7*k**2 + 175*k - 175*k + 7 - 7 - k + 2*k**2 - 4 + 6*k**2 + 4 as i + z*k + n*k**2 and give n. 9 Rearrange (55 + 835 + 383)*(-4*y**2 + 10 - 10) to the form i*y + z*y**2 + r and give z. -5092 Express (-272*p**2 + 21154 - 21154)*(-3*p + 3*p + 2*p) as l + s*p**2 + n*p**3 + t*p and give n. -544 Rearrange -4*g**3 + 457*g**2 - 451*g**2 - 4 - 1 - g**4 + 6 to the form c*g**2 + p*g + o + m*g**4 + y*g**3 and give y. -4 Express -t**3 + 4000063*t + 215 + 3*t**3 + 2*t**4 + 2*t**2 - 4000062*t as j*t + y*t**3 + g*t**4 + p*t**2 + s and give s. 215 Express 3*x + 3490*x**3 - 1 - 3493*x**3 - 24*x**2 - 1 - x as l + c*x + v*x**2 + r*x**3 and give c. 2 Express (-1 + l**2 + 1)*(2 - 2*l - 2) + 6*l**3 - l**3 - 4*l**3 + 39*l + 8*l**3 + 6851*l**2 - 6851*l**2 in the form z*l + j*l**2 + v*l**3 + u and give z. 39 Express (c**2 - 49*c**2 - 28*c**2 - 25*c**2 + 22*c**2)*(-78 + 36 - 444*c + 44) as b*c**3 + q*c + x*c**2 + k and give k. 0 Rearrange (-h**2 - 2*h + 2*h)*(-13*h + 4*h - 2*h - 2*h**2 + 2) + 6*h**4 - 49*h**3 + 51*h**3 - 4*h**4 to y*h**4 + c*h**3 + b*h + t*h**2 + k and give c. 13 Express (3*b + 2 - 2)*(-2*b + 0*b + 4*b) + 3*b**2 - 5*b**2 + 14*b**2 + 1159 + 17*b**2 - 1159 as f + n*b**2 + r*b and give n. 35 Rearrange 2881*p - 1433*p - 147*p**3 - 1439*p to the form a + x*p + m*p**3 + b*p**2 and give x. 9 Rearrange 20 + 135*b**2 - 102 + 1378*b**2 + 82 to the form s*b**2 + x + k*b and give k. 0 Rearrange -7502*a - 4945*a + 6444*a to j + s*a and give s. -6003 Rearrange -10*s + 0*s + 2 + 42*s**2 + 6*s - 100*s**2 to g + z*s + f*s**2 and give g. 2 Rearrange 33 + 24 - 12786*u + 0 - 57 to q + c*u and give c. -12786 Rearrange ((16 - 59 + 22)*(1 - 1 + i) - 6*i + 3*i - 4*i)*(1 + 0 - 2) to t*i + b and give t. 28 Express -w**4 - 1756 + w + w - 111*w**3 + 1767 as t*w**4 + v*w**2 + h*w + f*w**3 + l and give l. 11 Express (-2 - 2 + 2)*(179754 + 179755 + 179754 - 539262 + 16950*r) as x*r + s and give x. -33900 Rearrange (1 - 3 + 3)*(3*i - 1 + 1)*(15*i**3 + 18*i**3 - 14*i**3 + 3*i**2) to s*i**3 + c + u*i**4 + n*i + q*i**2 and give s. 9 Express -25 + 1105*o - 1119*o - 124 - 2*o**2 - 77 in the form w*o**2 + y*o + d and give d. -226 Rearrange -221*h - 2 - 35*h + 59*h - 309*h - 9*h to j + m*h and give j. -2 Express -c**2 - 610889 + 2*c**3 - c**3 + 610893 - 2*c**3 - 87*c as x*c**2 + y*c**3 + s*c + d and give y. -1 Rearrange 73*y**2 - 486 + 2423*y + 487 - 72*y**2 to v*y**2 + p*y + r and give v. 1 Express r - 27*r**3 + 12*r**3 + 12*r**3 + 8*r**3 + 4*r**3 + 10*r**4 as i*r**4 + m + j*r + n*r**2 + g*r**3 and give i. 10 Rearrange 2*w - 7*w**2 - 1557*w**3 - 3*w + 2*w**4 + 1558*w**3 + 26 + 2*w to p*w**4 + a*w + t*w**3 + z*w**2 + f and give f. 26 Rearrange -6939*r + 3484*r + 13 + 3510*r to v + z*r and give v. 13 Rearrange -1772*h**3 + 16*h**2 + 21*h**2 - 55*h**2 + 20*h**2 to f + i*h**3 + p*h + q*h**2 and give i. -1772 Express 52*s**4 - 63 + 63 + (0 + 0 - 2*s)*(s - s + 2*s)*(-3*s - s + 5*s)*(252 - 10*s - 252) in the form j*s + p*s**3 + l*s**2 + i + v*s**4 and give v. 92 Express 9*y + 4030 - 8356 + 4170 + 0 - y + 0 + y - 5*y + 3*y + (2 + 2 - 2)*(-y - y + y) as r*y + c and give r. 5 Express 1 - 1 + 2*x**2 - 3 - 17*x**2 - 12 + 19*x**2 + (-3 + 5*x + 3)*(0 + x + 0) as u + h*x + y*x**2 and give u. -15 Express 2*y**2 - 22*y - 11
{ "pile_set_name": "DM Mathematics" }
t(l). (l - 1)**3*(l + 1)/5 Let q = -10885 - -10888. Suppose -4/15*u - 64/15*u**q + 38/15*u**2 + 2*u**4 + 0 = 0. What is u? 0, 2/15, 1 Let g be (-2 - 2)/4*23. Let h = -21 - g. Determine w, given that 0 + 4/7*w**h - 2/7*w = 0. 0, 1/2 What is h in 33/4 + 3/4*h**2 - 9*h = 0? 1, 11 Let c be (-12)/(-40)*-2 + 1. Let y be 38/30 - (-236)/1770. Factor c*m**2 + 0 + m**4 + y*m**3 + 0*m. m**2*(m + 1)*(5*m + 2)/5 Let l(c) be the third derivative of -1/135*c**6 + 1/135*c**5 - 1/9*c**3 + 1/945*c**7 + 8*c**2 + 0 + 1/27*c**4 + 0*c. Factor l(o). 2*(o - 3)*(o - 1)**2*(o + 1)/9 Let t(p) be the second derivative of 1/3*p**4 - 38*p - 14/15*p**6 + 0*p**2 - 7/18*p**7 + 0 - 11/30*p**5 - 1/18*p**3. Find f such that t(f) = 0. -1, 0, 1/7 Let w(k) be the second derivative of -5*k**7/42 - 13*k**6/8 - 13*k**5/8 + 15*k**4/16 - 55*k - 2. Suppose w(o) = 0. What is o? -9, -1, 0, 1/4 Let c = 7 - 5. Suppose 5*h**2 - 2*h**c - 3*h**2 + 2 - 2*h**2 = 0. What is h? -1, 1 Let t(z) = -130*z + 260. Let x be t(2). Let d(f) be the first derivative of x*f - 1/6*f**3 + 0*f**4 + 0*f**2 - 5 + 1/10*f**5. Suppose d(a) = 0. Calculate a. -1, 0, 1 Let g(w) be the first derivative of -w**7/35 + w**6/5 + 40*w + 19. Let o(i) be the first derivative of g(i). Determine k, given that o(k) = 0. 0, 5 Let q(l) be the third derivative of 0*l + 0*l**3 - 1/1785*l**7 + 1/510*l**5 + 0*l**4 - 18*l**2 + 0 + 0*l**6. Suppose q(g) = 0. Calculate g. -1, 0, 1 Let n(t) be the second derivative of -t**4/84 + t**3/14 + t - 39. What is i in n(i) = 0? 0, 3 Let f(c) be the first derivative of 3/4*c**4 - c**3 + 0*c - 3/20*c**5 - 34 + 0*c**2. Factor f(s). -3*s**2*(s - 2)**2/4 Let j be (2 - (5 - 3))*(-1 - 0). Suppose -h + 3*h - 6 = j. Let 2/5*m**h - 2/5*m + 2*m**2 - 6/5*m**4 - 4/5 = 0. What is m? -1, -2/3, 1 Determine n so that -3 - 26/3*n - 2*n**3 - 8*n**2 + 1/3*n**4 = 0. -1, 9 Let c(q) = 35*q**2 + 44*q + 33. Let z(k) = -76*k**2 - 89*k - 65. Let o(h) = -13*c(h) - 6*z(h). Factor o(u). (u - 39)*(u + 1) Let q(s) be the third derivative of s**5/30 - 3*s**4/4 - 22*s**3/3 + 359*s**2. Factor q(p). 2*(p - 11)*(p + 2) Let h = 7 - 7. Suppose 0 = -k, h*k + 1 = p + 3*k. Suppose -13*y**3 + 12*y**3 + y - y**2 + 0*y**2 + p = 0. What is y? -1, 1 Let r be (-1)/(45/(-10) - -4). Determine w, given that 2 + w**3 + 3*w + w**5 + 3*w**4 - 5*w - 3*w**r - 2 = 0. -2, -1, 0, 1 Let c(s) be the second derivative of -5/6*s**2 + 1/3*s**5 - 5/4*s**4 + 17*s + 0 + 5/3*s**3. Factor c(o). 5*(o - 1)**2*(4*o - 1)/3 Let o(l) be the third derivative of l**5/30 + 17*l**4/6 + 289*l**3/3 + 13*l**2. Factor o(n). 2*(n + 17)**2 Let z = 1/175 + 199/175. Let d(n) = n + 9. Let w be d(-7). What is o in 2/7*o**5 - 8/7*o**4 - 10/7*o + 4/7*o**w + 4/7 + z*o**3 = 0? -1, 1, 2 Factor 4/5 - 4/5*k**2 - 8/5*k**3 + 8/5*k. -4*(k - 1)*(k + 1)*(2*k + 1)/5 Factor -j**3 + 1387*j**2 - 1395*j**2 - j**3 - 2*j**3. -4*j**2*(j + 2) Let i be (5 - 11)*(-1)/(-2). Let r(d) = -d**3 - 2*d**2 + 2*d. Let c be r(i). Find f, given that -c*f**3 - f**4 - 8*f**2 + 3*f + f**5 + 7*f**2 + 2*f**4 - f = 0. -2, -1, 0, 1 Let c be 26/10 + 12/30 - 0. Factor 4*i**5 - i**3 + 4*i**4 - i**2 - c*i**3 - i**2 - 2*i**2. 4*i**2*(i - 1)*(i + 1)**2 Let g(t) = -t**3 + 6*t**2 + 2*t - 5. Let a be g(6). Suppose -2*m**3 - a*m**3 - m**3 - 5*m**4 - 4*m**5 + 9*m**5 = 0. Calculate m. -1, 0, 2 Let n = 2/2391 - -793/4782. What is x in -1/3 - n*x + 1/6*x**2 = 0? -1, 2 What is c in 69*c - 30*c + 7*c - 8*c**2 - 3*c**3 - 16*c - c**2 = 0? -5, 0, 2 Let k(l) be the third derivative of -l**6/480 - 79*l**5/80 - 6241*l**4/32 - 493039*l**3/24 - 280*l**2. What is a in k(a) = 0? -79 Let d(f) be the second derivative of 11*f - 2/9*f**3 - 5/18*f**4 + 0 + 0*f**2. Factor d(p). -2*p*(5*p + 2)/3 Let k = -14153 - -14153. Factor k*u + 3*u**4 - 3/2*u**3 + 0 + 5/2*u**5 - 2*u**2. u**2*(u + 1)**2*(5*u - 4)/2 Let r(h) be the second derivative of 2*h**7/21 - 8*h**6/15 + 2*h**5/5 + 4*h**4/3 - 2*h**3 - 97*h. Let r(u) = 0. What is u? -1, 0, 1, 3 Let l(a) be the third derivative of -6*a - 1/210*a**6 + 4*a**2 + 0 - 4/7*a**3 + 0*a**5 + 1/6*a**4. Factor l(s). -4*(s - 2)*(s - 1)*(s + 3)/7 Let q(b) = -b**3 + b**2 + 8*b - 2. Let w be q(3). Factor -2/13*s**3 + 0*s - 2/13*s**w + 0*s**2 + 0. -2*s**3*(s + 1)/13 Let l(t) be the first derivative of -9*t**5 - 10*t - 165/4*t**4 + 5 - 185/3*t**3 - 75/2*t**2. Determine v so that l(v) = 0. -2, -1, -1/3 Let x be (-6)/5*(-10)/4. Suppose -n - b - 3 = 0, -x*n + 2*b + 18 = n. Let 32*t + 0*t**2 + 6*t**3 + 10*t**n + 16*t**2 + 8 = 0. Calculate t. -2, -1/3 Let x(q) = -11*q**4 + 33*q**3 - 35*q**2 + 21*q - 2. Let c(h) = -32*h**4 + 97*h**3 - 104*h**2 + 62*h - 6. Let j(i) = 6*c(i) - 17*x(i). Let j(v) = 0. What is v? 1/5, 1, 2 Let l(g) be the first derivative of -g**4/2 - 16*g**3/3 - 13*g**2 - 12*g - 30. Find j, given that l(j) = 0. -6, -1 Suppose -4*c - c + 2*b = 0, 3*b = -2*c + 19. Suppose -2*t + 15 = 20*j - 15*j, -5*t + 9 = 3*j. Factor 1/4*k**4 - k**j + 0 - 1/2*k + 5/4*k**c. k*(k - 2)*(k - 1)**2/4 Suppose -v + 5 = 5*w, 4*w + 5 = -2*v + 3*v. Suppose w*q - 4*q = -20. Let -6*j - 4*j + j - 2 - 2*j**2 + q*j = 0. What is j? -1 Suppose -3 = -8*v + 13. Factor 0*o + 2/11*o**v - 2/11. 2*(o - 1)*(o + 1)/11 Factor -23/2*q - 25 + 1/2*q**2. (q - 25)*(q + 2)/2 Let s(b) = 5*b + 17. Let d(c) = -1. Let k(v) = -6*d(v) - s(v). Let j be k(-3). Suppose 18/7*q**3 + 36/7*q + 3/7*q**j + 12/7 + 39/7*q**2 = 0. Calculate q. -2, -1 Let k(t) be the first derivative of -5/12*t**4 + 0*t**2 + 1 + 1/15*t**5 + 0*t + 4/9*t**3. Determine y so that k(y) = 0. 0, 1, 4 Determine s so that 2/7*s**4 + 0 - 46/7*s**3 + 44/7*s**2 + 0*s = 0. 0, 1, 22 Let l = -804/5 - 547/10. Let x = -215 - l. Let 3/2*g**2 - 2 - x*g**3 + 0*g = 0. What is g? -1, 2 Let t = 16 + -12. Suppose t = -4*m + 6*m. Suppose -10*x**5 - 3*x**3 + x**3 - 8*x**m + 6*x**2 - 2*x**2 + 16*x**4 = 0. What is x? -2/5, 0, 1 Suppose 39*w**3 - 3120*w - 164*w**3 + 24 - 3975*w**2 - 224 - 28 - 392 = 0. What is w? -31, -2/5 Let r = 179 - 181. Let d be (25/15 - -3)/(r/(-1)). Determine q so that 7/3*q**2 - 2/3*q**5 - 1/3*q - 1/3*q**4 - 2/3 + d*q**3 = 0. -1, 1/2, 2 Let t(s) be the first derivative of -s**7/84 + 3*s**5/20 + s**4/3 + s**3/4 - 26*s - 10. Let m(x) be the first derivative of t(x). Factor m(p). -p*(p - 3)*(p + 1)**3/2 Let a(s) be the second derivative of -s**4/54 + 140*s**3/27 - 4900*s**2/9 + 342*s. Factor a(f). -2*(f - 70)**2/9 Let n = 1757 + -1753. Let g(v) be the first derivative of -2/5*v**5 + 2*v**3 - 1/2*v**4 + n*v - 13 + 5*v**2. Factor g(h). -2*(h - 2)*(h + 1)**3 Suppose 5*k - 13 - 17 = 0. Let t(u) = -u**2 + 5*u + 8. Let y be t(k). Factor -h**5 - 2*h**y + 3*h**4 - 3*h - 1 - 3*h**5 + 5*h**5 + 2*h**3. (h - 1)*(h + 1)**4 Let n(z) be the first derivative of 49/9*z**3 - 28/3*z**2 + 16/3*z - 8. Find v such that n(v) = 0. 4/7 Let n(m) = 2*m**3 - 20*m**2 + 5*m - 14. Let o be n(9). Let x = -509/4 - o. Factor x*z**3 + 0*z + 0 - 3/2*z**2. 3*z**2*(5*z - 2)/4 Suppose z = -3*z - 8. Let q be (-70)/(-30) + z/(-3). Solve -7*f - q*f + 9*f + f**3 + 0*f**3 = 0 for f. -1, 0, 1 Suppose -5*q - 2*q = 14. Let a be 4 + q + (-56)/(-7). Factor 8 - 8*m**2 - 60*m + a - 68 - 10*m**2. -2*(3*m + 5)**2 Suppose 23 = 4*c - 29. Let y = -9 + c. Factor -4*u**4 + u**2 - u**5 + 5*u**3 - 2*u**2 + 5*u**5 - y*u**4. u**2*(u - 1)*(2*u - 1)**2 Suppose -3*z = -5*z + 4. Suppose 6*p - 2*p - 202 = -u, -374 = -2*u + z*p. What is y in -2*y + 2*y + u*y**2 - 189*y**2 - y**4 = 0? -1, 0, 1 Let k(m) be the second derivative of -m**5/30 - 5*m**4/12 - 4*m**3/3 - 17*m**2 + 16*m. Let y(s) be the first derivative of k(s). Factor y(z). -2*(z + 1)*(z + 4) Let x = 50 + -51. Let g be x*(-6)/8 - (-9)/(-12). Find p, given that g + 0*p**3 + 1/2*p + p**4 - p**2 - 1/2*p**5 = 0. -1, 0, 1 Let r(k) = 4*k**2 - 1. Let n be r(-1). Factor 7*c**4 - 8*c**2 - 7*c**2 - n*c**4 + c**4 + 10*c. 5*c*(c - 1)**2*(c + 2) Suppose -5*v = -4*h - 5, -13*h = -5*v - 18*h + 50. Let z(t) be the third derivative of 0 + 0*t**3 - 1/48*t**4 - 9*t**2 - 1/120*t**v + 0*t. Factor z(m). -m*(m + 1)/2 Suppose 0 = -r - 6*r - 21. Let p(v) = -5*v**3 + 3*v**2 + 2*v. Let i(q) = 14*q**3 - 8*q**2 - 6*q. Let g(z) = r*i(z) - 8*p(z). Factor g(u). -2*u*(u - 1)*(u + 1) Let l(h) be the third derivative of h**8/20160 + h**7/420 + 11*h**6/720 - h**5/6 - 54*h**2. Let k(q) be the third derivative of l(q). Factor k(f). (f + 1)*(f + 11) Let n(m) be t
{ "pile_set_name": "DM Mathematics" }
uppose 4*v - 334 + f = -3*z, -z = v - 83. Calculate the highest common divisor of 10 and v. 10 Let s be (5/(-2))/(-1 - 12/(-16)). What is the greatest common factor of 710 and s? 10 Suppose -7*g - 104 - 64 = 0. Let m be 30/8*(-64)/g. Let p = 18 - m. What is the highest common divisor of p and 4? 4 Suppose 13*w + 6731 = 66*w. What is the greatest common divisor of 1 and w? 1 Let b = 42 + -22. Suppose -1164 + 1314 = 5*c. Calculate the greatest common factor of b and c. 10 Suppose -2*c + 69 = -63. Let r(v) = 56*v + 771. Let z be r(-12). What is the greatest common factor of c and z? 33 Let o(r) = 219*r - 1. Let s be o(1). Let t = s - 320. Let k = 193 + t. Calculate the highest common factor of k and 13. 13 Let a = -16 - -64. Calculate the highest common divisor of 6 and a. 6 Let l(n) = n**2 - 14*n - 18. Let v be l(-3). Calculate the greatest common factor of 363 and v. 33 Suppose 6 = -0*f + f. Let y be (-372)/(-868) + 111/(-21)*-9. Calculate the highest common divisor of f and y. 6 Let j(l) = -l + 9. Let k = -6 + 9. Suppose -4 = k*x - 4*x. Let z be j(x). Calculate the greatest common divisor of 15 and z. 5 Let r = -3 + 6. Suppose 4*b - r = -2*c + 5, 0 = 3*c + 2*b - 4. Suppose c*i + 432 = 3*i. What is the greatest common divisor of i and 18? 18 Suppose 3*f = 7*f - 3*b - 14, 3*f + 2*b - 19 = 0. Let j be (-50)/4*4/f. Let y = 22 + j. Calculate the highest common divisor of y and 108. 12 Let a(d) = 14*d + 19. Let w be a(0). What is the greatest common divisor of 19 and w? 19 Suppose 13*v + 206 = 1090. Calculate the greatest common divisor of v and 1904. 68 Suppose 13 - 4 = 3*n. Let z be (-12)/(1/(-1 + n + -3)). What is the greatest common divisor of 12 and z? 12 Let r(m) = m**3 - 27*m**2 + 29*m - 60. Let i be r(26). Calculate the highest common factor of i and 297. 9 Suppose -43 + 11 = -4*t. Suppose 0*n - t*n + 456 = 0. Calculate the greatest common factor of 19 and n. 19 Let a = 471 - 279. Calculate the highest common factor of 80 and a. 16 Let m(i) = -2*i**2 - 4*i. Let a be m(-3). Let f be (132/a)/(4/(-80)). What is the highest common factor of f and 40? 40 Let i = 53 + -2. What is the greatest common factor of i and 408? 51 Suppose -2*u - 3*n = -4*u + 6, 0 = -3*n + 6. Suppose -u*t = -11*t + 1440. What is the highest common factor of t and 18? 18 Let b(s) = s**3 - 3*s**2. Let m be b(3). Suppose m = 4*t + 39 + 5. Let a = t + 14. Calculate the greatest common factor of a and 15. 3 Suppose 12*u - 15*u + 42 = -4*q, -3*q - 59 = -5*u. Let k(r) = 2*r**2 - r - 1. Let v be k(-3). What is the highest common divisor of u and v? 10 Suppose -367*m + 86 = -365*m. What is the highest common divisor of 301 and m? 43 Let w = 84 - 79. Let q be (126/15 - 8)*(w - 0). Calculate the greatest common divisor of 8 and q. 2 Let p = 2 + -12. Let o be (24/p)/((-9)/30). Suppose 2*j = -5*m - 23, -7 - 16 = -3*j + 4*m. Calculate the greatest common factor of j and o. 1 Suppose -2*v - 4*z = 5 + 9, -2*z + 8 = -4*v. Let f be (3 - (2 - 3)) + (-12)/v. Calculate the greatest common factor of 16 and f. 8 Suppose -2*d = 3*a - 279, -3*a - 11*d + 12*d + 279 = 0. What is the greatest common divisor of 31 and a? 31 Suppose -4*a - 10 = -2*u, 19*u - a = 20*u - 5. Calculate the greatest common factor of 145 and u. 5 Let z be (-8)/(-12) + (-15)/9. Let m = z + 42. Let t = -25 + m. Calculate the greatest common factor of t and 128. 16 Let u(x) = -x**3 - 9*x**2 - 49*x + 1. Let r be u(-6). Let z = 21 + -4. Calculate the greatest common divisor of z and r. 17 Suppose -3*z - 163 = -5*t + 68, -3*z + 9 = 0. What is the highest common factor of t and 752? 16 Let m = -26 + 48. Let o = 27 - 65. Let q = o - -60. Calculate the highest common factor of m and q. 22 Suppose -1 + 10 = -9*l. Let f be (87/(-12))/l + (-21)/(-28). Calculate the highest common divisor of f and 2. 2 Suppose 0 = -3*w + 5 - 8. Let v be 292/24 - w/(-6). Suppose 2*i = -3*d + 21 + 39, 0 = -2*d - 5*i + 51. Calculate the greatest common divisor of d and v. 6 Let l = 39 - -101. Suppose -28 = -4*f - l. Let s be (-51)/(-12) + (-21)/f. What is the greatest common factor of s and 1? 1 Suppose 4*t - 320 = 5*m, -4*m = -t + 2*t - 80. Let h = -1729 + 1749. What is the greatest common divisor of t and h? 20 Suppose -2*o = -f - 3 - 11, -2*o - 2*f = -14. Suppose -60*q - 38 = -58*q. Let v = q + 26. Calculate the highest common factor of o and v. 7 Suppose 0 = -l + 3 + 18. Let a = l - 16. Suppose -2*j + 3*j = -b + 31, 5*j = a. Calculate the greatest common divisor of b and 10. 10 Let j(t) = -15*t**3 + 2*t**2 - 3. Let n be j(-3). Suppose -n = -4*y - 164. Calculate the greatest common factor of y and 16. 16 Let b(f) = -f + 11. Let w be b(6). Let i(x) = -4*x - 4. Let q be i(-13). Suppose 7 = w*h - q. Calculate the highest common factor of h and 11. 11 Let m(k) = 10*k**2 - 26*k - 110. Let h be m(-4). Suppose 5*t - 42 = 2*t. Calculate the highest common divisor of t and h. 14 Let y(s) = -24*s + 16. Let o be y(-14). Calculate the highest common factor of 11 and o. 11 Let b(u) be the second derivative of -u**3/6 + 15*u**2/2 + 22*u. Let a be b(12). What is the highest common divisor of a and 4? 1 Let d be 8/28 + (-5)/(70/4). Let j(a) = -a**2 - 3*a + 7. Let l be j(d). What is the greatest common factor of 63 and l? 7 Let a(p) = -2*p**2 - 15*p - 11. Let k be a(-6). Let m be (-1 - 0)*(-7 + k). Let j be -2 + (0 - -177) - m. What is the greatest common divisor of j and 35? 35 Let i(m) = -m**3 + 2*m**2 + 2*m + 1. Let v be 21/(-15) + 6/15. Let o be i(v). Suppose -o*a + 79 = -17. Calculate the highest common factor of a and 16. 16 Let s(j) = -36*j**3 - 4*j**2 + 12*j + 32. Let w be s(-2). What is the greatest common divisor of 200 and w? 40 Suppose -4*q = -2*v - 2 - 2, -3*v + 22 = q. Suppose -v*j = -3*j - 792. What is the highest common factor of 24 and j? 24 Let i = 190 - 136. Calculate the greatest common factor of 108 and i. 54 Let v be (10/(-12))/(4/54)*-4. Let z(u) = -u**3 + 5*u**2 + 5*u + 5. Let p be z(5). What is the greatest common factor of v and p? 15 Let r(j) = 108*j**3 + j**2 - j. Let w be r(1). Suppose -9*o = -4*o - x - 138, -x = o - 24. What is the greatest common divisor of w and o? 27 Suppose m = j - 43, -5*m - 21 - 164 = 5*j. Let q be m/16*(-2 + 0). Suppose 4*k + 152 = q*k. Calculate the highest common divisor of 19 and k. 19 Let m be 6/(-9) - (-2706)/198. Let b be (2 - 0)/(5/20). Let l be (-2)/(-8) - (-518)/b. Calculate the highest common factor of m and l. 13 Let p = 347 + 18. Calculate the highest common divisor of p and 5. 5 Suppose -5*r - 8*b = -13*b - 615, 0 = -2*r + 4*b + 244. What is the greatest common factor of 124 and r? 124 Let z be ((-3)/(-4))/(((-5)/(-100))/1). Suppose 0 = 5*t + z, x + 2*t - t - 12 = 0. Calculate the greatest common factor of 5 and x. 5 Let f be 2 + -3 + -19 + 2. Let j be (225/f)/(1/(-6)). What is the greatest common factor of j and 30? 15 Suppose s - 19 + 7 = 0. Let o be s + (-2 + 2)/3. Suppose 0*z = 3*z - 18. What is the greatest common divisor of z and o? 6 Let n(d) = d. Let r be n(5). Suppose -f - 5*s = 2, -3 + 40 = -5*f + 2*s. Let x = f + 12. What is the greatest common factor of r and x? 5 Suppose -d = 3*d - 20, -3*i = -4*d - 178. What is the greatest common factor of i and 44? 22 Suppose -108 - 72 = -3*h. Suppose 5*w + 0*w - 170 = -5*k, -2*k = 4*w - 70. Let p be 385/k + (-1)/(-3). Calculate the greatest common factor of h and p. 12 Let v(n) = n**3 + 8*n**2 + 4*n - 9. Let g = 14 + -8. Let h be (3 + -6)/3 - g. Let z be v(h). What is the greatest common factor of 48 and z? 12 Let o = -19 + 60. Calculate the greatest common factor of 328 and o. 41 Let z be (23/46)/((-2)/(-4)). What is the greatest common factor of z and 43? 1 Let z = -229 - -80. Suppose 2*j - 2*d - 423 = -d, -3*j + 3*d + 633 = 0. Let x = j + z. What is the greatest common divisor of 9 and x? 9 Suppose 0 = -4*x - 16, -7*x = l - 3*x. Calculate the highest common divisor of 100 and l. 4 Suppose 0 = 62*n - 19202 + 2710. What is the highest common factor of n and 152? 38 Let d be (-79025)/(-218) - (-2)/4. Calculate the highest common factor of d and 33. 33 Suppose -6*w + 45 = -39. Calculate the greatest common factor of w and 1358. 14 Let h = -168 + 171. What is the highest common factor of h and 16? 1 Suppose -53*x = -350 - 604. What is the highest common
{ "pile_set_name": "DM Mathematics" }
rt 33.30074um to centimeters. 0.003330074 How many centuries are there in one fifth of a millennium? 2 How many millilitres are there in 3/5 of a litre? 600 What is 13/4 of a milligram in micrograms? 3250 How many years are there in 42/5 of a decade? 84 What is nine tenths of a kilometer in meters? 900 What is three eighths of a millimeter in micrometers? 375 What is 3/50 of a litre in millilitres? 60 How many meters are there in 14.97863 kilometers? 14978.63 How many millilitres are there in three eighths of a litre? 375 What is 6785.802 kilograms in micrograms? 6785802000000 What is 15/4 of a litre in millilitres? 3750 How many litres are there in 9.36576 millilitres? 0.00936576 How many grams are there in 98681.61t? 98681610000 Convert 61778.76l to millilitres. 61778760 What is 32.91187 decades in years? 329.1187 What is 1/4 of a millennium in years? 250 How many millilitres are there in 8871.229 litres? 8871229 What is 0.5108763 millilitres in litres? 0.0005108763 What is 4.602206 nanoseconds in milliseconds? 0.000004602206 Convert 494892.1 hours to seconds. 1781611560 What is 6/25 of a millennium in decades? 24 How many micrograms are there in 8/25 of a milligram? 320 How many millilitres are there in 8929.713l? 8929713 How many hours are there in twenty-seven halves of a week? 2268 Convert 3029.9085 minutes to days. 2.104103125 Convert 2.661235 micrometers to nanometers. 2661.235 Convert 82.97871 millilitres to litres. 0.08297871 How many kilograms are there in three eighths of a tonne? 375 Convert 864329.3g to tonnes. 0.8643293 How many grams are there in 25/2 of a kilogram? 12500 How many months are there in 26.93393 centuries? 32320.716 What is 16560.189 minutes in days? 11.50013125 What is seventeen quarters of a litre in millilitres? 4250 What is 791.6944 weeks in minutes? 7980279.552 Convert 271.3666nm to millimeters. 0.0002713666 How many years are there in 19/4 of a century? 475 What is twenty-three sixths of a year in months? 46 How many nanograms are there in 3/32 of a milligram? 93750 What is sixty-one quarters of a kilometer in meters? 15250 How many hours are there in one quarter of a week? 42 How many hours are there in seven sixths of a day? 28 Convert 593.6008 decades to years. 5936.008 What is 21/8 of a milligram in micrograms? 2625 What is 56407.94ml in litres? 56.40794 How many micrometers are there in 11/4 of a centimeter? 27500 How many millilitres are there in 26604.38l? 26604380 What is 43/4 of a milligram in micrograms? 10750 What is 19/4 of a tonne in kilograms? 4750 How many meters are there in six fifths of a kilometer? 1200 What is 1.880162um in millimeters? 0.001880162 What is 10571.13 years in months? 126853.56 How many litres are there in 0.004051 millilitres? 0.000004051 How many centimeters are there in six fifths of a meter? 120 What is 2.086962 centuries in decades? 20.86962 How many millilitres are there in one fifth of a litre? 200 How many micrograms are there in 80517.36 nanograms? 80.51736 What is 82538.28 micrometers in meters? 0.08253828 What is 139.0992 days in nanoseconds? 12018170880000000 How many micrometers are there in 21/8 of a millimeter? 2625 How many months are there in 5/6 of a year? 10 Convert 95.7529188s to weeks. 0.000158321625 How many centimeters are there in 59/5 of a meter? 1180 How many micrograms are there in 22772.59t? 22772590000000000 How many micrometers are there in 0.9309127m? 930912.7 What is 0.900634 litres in millilitres? 900.634 What is 5496.11 litres in millilitres? 5496110 Convert 47095.71 decades to years. 470957.1 Convert 683.5532m to centimeters. 68355.32 How many meters are there in twenty-seven fifths of a kilometer? 5400 What is nine tenths of a day in seconds? 77760 Convert 93.0914 millimeters to micrometers. 93091.4 How many years are there in three eighths of a millennium? 375 How many litres are there in 48387.08 millilitres? 48.38708 What is 0.2974525mm in kilometers? 0.0000002974525 How many minutes are there in five sixths of a week? 8400 How many months are there in fifteen quarters of a year? 45 Convert 97.46281 decades to years. 974.6281 What is 31/5 of a meter in centimeters? 620 What is 1/80 of a century in months? 15 What is 7098.889 grams in kilograms? 7.098889 How many grams are there in 3/40 of a tonne? 75000 What is 27/4 of a century in years? 675 How many years are there in 3436.548 months? 286.379 How many kilometers are there in 7697.115m? 7.697115 What is 13/4 of a litre in millilitres? 3250 How many years are there in 13.582518 months? 1.1318765 What is 602993.2 grams in nanograms? 602993200000000 How many micrometers are there in 3/40 of a millimeter? 75 What is 8.634748kg in grams? 8634.748 How many centimeters are there in one quarter of a meter? 25 How many millilitres are there in 3/5 of a litre? 600 What is 735.852 nanometers in micrometers? 0.735852 What is 13/5 of a minute in seconds? 156 What is 27/5 of a litre in millilitres? 5400 What is fifteen quarters of a litre in millilitres? 3750 How many litres are there in 5661.528ml? 5.661528 Convert 40861.44 centuries to millennia. 4086.144 What is 34/5 of a millimeter in micrometers? 6800 What is 59/5 of a litre in millilitres? 11800 What is one quarter of a kilometer in meters? 250 Convert 0.383927 kilometers to micrometers. 383927000 How many milligrams are there in 21/4 of a gram? 5250 Convert 129603.8 years to decades. 12960.38 Convert 3.933379 centimeters to nanometers. 39333790 How many millimeters are there in 0.399079cm? 3.99079 What is 0.2477184 centimeters in meters? 0.002477184 What is 0.3915999 years in decades? 0.03915999 What is fourteeen ninths of a hour in seconds? 5600 Convert 49466.39nm to meters. 0.00004946639 Convert 2943.1 centuries to millennia. 294.31 What is 55079.41 litres in millilitres? 55079410 How many kilograms are there in 3/25 of a tonne? 120 What is 84415.2 nanometers in micrometers? 84.4152 Convert 14484.81825 seconds to weeks. 0.023949765625 How many nanograms are there in 11/2 of a microgram? 5500 What is 6/5 of a litre in millilitres? 1200 What is 6/25 of a centimeter in micrometers? 2400 What is seven eighths of a decade in months? 105 Convert 0.4845309g to nanograms. 484530900 What is 2/27 of a day in seconds? 6400 How many tonnes are there in 0.9260367ug? 0.0000000000009260367 How many minutes are there in 17/7 of a week? 24480 How many millilitres are there in twenty-one fifths of a litre? 4200 How many litres are there in 954.49ml? 0.95449 How many minutes are there in 89/2 of a hour? 2670 How many micrometers are there in three sixteenths of a centimeter? 1875 How many milligrams are there in 37/5 of a gram? 7400 What is 1/4 of a kilogram in grams? 250 How many millilitres are there in 2/125 of a litre? 16 Convert 8996.53ng to tonnes. 0.00000000000899653 What is three eighths of a centimeter in micrometers? 3750 How many millilitres are there in 1/5 of a litre? 200 How many months are there in five quarters of a year? 15 What is thirteen eighths of a millisecond in microseconds? 1625 How many centuries are there in 15096.126 months? 12.580105 Convert 8.721545 kilograms to micrograms. 8721545000 What is 0.8564424kg in milligrams? 856442.4 How many decades are there in 7.792035 centuries? 77.92035 How many grams are there in 282.0716ng? 0.0000002820716 What is fourty-six fifths of a gram in milligrams? 9200 Convert 510.9422 millilitres to litres. 0.5109422 How many millilitres are there in twenty-nine fifths of a litre? 5800 How many grams are there in fourty-nine fifths of a kilogram? 9800 How many millimeters are there in 0.4461065 centimeters? 4.461065 Convert 36.5645 micrograms to kilograms. 0.0000000365645 What is 257722.2 microseconds in minutes? 0.00429537 Convert 8127.331 centimeters to micrometers. 81273310 What is 26.23128 nanograms in tonnes? 0.00000000000002623128 What is three fifths of a century in months? 720 How many tonnes are there in 0.374054 nanograms? 0.000000000000000374054 What is 82.19042 litres in millilitres? 82190.42 How many litres are there in 79693.39ml? 79.69339 Convert 4540.351ns to microseconds. 4.540351 Convert 844221.3 tonnes to milligrams. 844221300000000 What is 4.40033m in nanometers? 4400330000 How
{ "pile_set_name": "DM Mathematics" }
*3/2 + 617*o**2 - 662*o + 140 = 0. What is o? -14, -5, 2/7, 1, 2 Factor -h**2/5 - 314*h + 3144/5. -(h - 2)*(h + 1572)/5 Factor 3*x**2 - 120*x + 1200. 3*(x - 20)**2 Factor -v**2 + 424*v - 44944. -(v - 212)**2 Factor t**2 - 115*t - 116. (t - 116)*(t + 1) Factor s**2/3 + 37*s/3 - 38/3. (s - 1)*(s + 38)/3 Let -4*z**3/7 - 8*z**2/7 + 52*z/7 - 40/7 = 0. What is z? -5, 1, 2 Suppose 3*n**4 + 159*n**3 - 327*n**2 + 165*n = 0. Calculate n. -55, 0, 1 Determine d, given that 2*d**4 + 66*d**3 + 680*d**2 + 2184*d + 1568 = 0. -14, -4, -1 Factor -5*c**2 - 680*c - 23120. -5*(c + 68)**2 Find x such that -x**2 + 731*x/5 - 146/5 = 0. 1/5, 146 Let 2*l**4/5 + 34*l**3 + 966*l**2/5 + 286*l + 632/5 = 0. Calculate l. -79, -4, -1 Find m such that m**4/4 - m**3/4 - 3*m**2 - m + 4 = 0. -2, 1, 4 Factor -2*f**3 + 46*f**2 - 44*f. -2*f*(f - 22)*(f - 1) Factor f**4/2 + 27*f**3/2 - 47*f**2 - 60*f. f*(f - 4)*(f + 1)*(f + 30)/2 Factor 2*g**3/9 - 8*g**2/9 - 2*g/9 + 8/9. 2*(g - 4)*(g - 1)*(g + 1)/9 Solve c**5/5 - 2*c**4 + 16*c**3/5 + 2*c**2/5 - 17*c/5 + 8/5 = 0 for c. -1, 1, 8 Let -n**2 - 1654*n - 683929 = 0. Calculate n. -827 Suppose 4*g**3 - 84*g - 80 = 0. Calculate g. -4, -1, 5 Factor 4*w**3 - 9128*w**2 - 9132*w. 4*w*(w - 2283)*(w + 1) Determine c, given that -c**5/7 + 75*c**4/7 + 9*c**3/7 - 97*c**2 + 288*c/7 + 900/7 = 0. -3, -1, 2, 75 Let 4*y**5 - 49*y**4 + 139*y**2 + 62*y - 24 = 0. What is y? -1, 1/4, 2, 12 Suppose 5*k**4 + 285*k**3 + 280*k**2 = 0. Calculate k. -56, -1, 0 Suppose 8*a**4 - 44*a**3 - 344*a**2 - 160*a = 0. What is a? -4, -1/2, 0, 10 Factor -x**5 - 45*x**4 + 47*x**3 + 45*x**2 - 46*x. -x*(x - 1)**2*(x + 1)*(x + 46) Factor -4*f**3 + 40*f**2 + 212*f + 168. -4*(f - 14)*(f + 1)*(f + 3) Factor -4*o**2 + 5124*o - 5120. -4*(o - 1280)*(o - 1) Factor 5*v**4 + 80*v**3 - 275*v**2 + 190*v. 5*v*(v - 2)*(v - 1)*(v + 19) Determine a so that -a**3/5 - 3*a**2 + 162*a/5 + 176/5 = 0. -22, -1, 8 Factor -3*g**2 - 270*g - 6027. -3*(g + 41)*(g + 49) Solve 15*x**5/7 + 264*x**4/7 - 108*x**3/7 = 0. -18, 0, 2/5 What is t in 53*t**2/3 - 4*t/3 = 0? 0, 4/53 What is b in -2*b**2 - 58*b + 60 = 0? -30, 1 Factor 3*c**4 + 2209*c**3 + 2941*c**2 + 735*c. c*(c + 1)*(c + 735)*(3*c + 1) Factor -2*p**2/9 + 988*p/9 - 122018/9. -2*(p - 247)**2/9 Factor 25*c**2/2 + 38*c + 3/2. (c + 3)*(25*c + 1)/2 Solve -3*o**2/2 - 81*o/2 - 210 = 0 for o. -20, -7 Let -21*o**3 + 234*o**2 + 615*o - 828 = 0. Calculate o. -3, 1, 92/7 Let 24*l**2/5 - 3438*l/5 + 858/5 = 0. Calculate l. 1/4, 143 Find u, given that 5*u**2 + 915*u = 0. -183, 0 Factor 25*r**3 - 35*r**2 - 25*r + 35. 5*(r - 1)*(r + 1)*(5*r - 7) Solve 3*v**2 + 753*v - 756 = 0. -252, 1 Suppose 2*u**5/5 + 8*u**4/5 - 54*u**3/5 - 108*u**2/5 + 432*u/5 = 0. What is u? -6, -4, 0, 3 Factor -l**2/7 - 4581*l/7 + 4582/7. -(l - 1)*(l + 4582)/7 What is u in -u**5 + u**4 + 10*u**3 + 8*u**2 = 0? -2, -1, 0, 4 Factor -r**3/2 - 15*r**2/2 - 19*r - 12. -(r + 1)*(r + 2)*(r + 12)/2 Solve -2*k**2/21 + 4*k/3 = 0 for k. 0, 14 Solve -g**2/4 - g/2 = 0 for g. -2, 0 Factor -h**4 - 5*h**3 - 9*h**2 - 7*h - 2. -(h + 1)**3*(h + 2) What is n in 5*n**4 + 1840*n**3 + 176355*n**2 + 1279800*n - 1458000 = 0? -180, -9, 1 Factor l**5/2 - 29*l**4 + 500*l**3 - 2344*l**2 + 4264*l - 2704. (l - 26)**2*(l - 2)**3/2 Suppose -2*i**3/21 + 578*i**2/7 = 0. Calculate i. 0, 867 Determine s, given that 65*s**4 + 1485*s**3 - 3415*s**2 + 2115*s - 250 = 0. -25, 2/13, 1 Solve 65*r**2 - 128*r - 4 = 0. -2/65, 2 Factor 2*x**3/9 - 116*x**2/9 + 910*x/9 - 1372/9. 2*(x - 49)*(x - 7)*(x - 2)/9 Factor -2*y**3/5 - 76*y**2/5 - 792*y/5 - 1296/5. -2*(y + 2)*(y + 18)**2/5 Factor 2*m**4/3 + 92*m**3/3 + 1538*m**2/3 + 3680*m + 9600. 2*(m + 8)**2*(m + 15)**2/3 Factor -50*j**5 + 310*j**4 + 272*j**3 + 56*j**2. -2*j**2*(j - 7)*(5*j + 2)**2 Factor 28*b**3 + 85924*b**2 - 24552*b. 4*b*(b + 3069)*(7*b - 2) Find v such that -v**4/3 - 10*v**3/3 + 17*v**2/3 + 22*v = 0. -11, -2, 0, 3 Factor 3*m**4 - 22*m**3 - 331*m**2 - 210*m. m*(m - 15)*(m + 7)*(3*m + 2) Solve 2*p**2 - 10986*p - 10988 = 0. -1, 5494 Factor o**5 - 10*o**4 - 66*o**3 - 128*o**2 - 103*o - 30. (o - 15)*(o + 1)**3*(o + 2) Suppose s**5 + 37*s**4/5 - 31*s**3/5 - 53*s**2/5 + 26*s/5 + 16/5 = 0. What is s? -8, -1, -2/5, 1 Determine u, given that -9*u**5 - 30*u**4 + 18*u**3 + 108*u**2 + 87*u + 18 = 0. -3, -1, -1/3, 2 Find q, given that q**5/5 - 39*q**4 - 796*q**3/5 - 16*q**2/5 + 3168*q/5 + 3184/5 = 0. -2, 2, 199 Factor 4*m**4 - 5*m**3 - 23*m**2 + 6*m. m*(m - 3)*(m + 2)*(4*m - 1) Find r, given that 5*r**4/4 + 2295*r**3/4 - 2305*r**2/2 = 0. -461, 0, 2 Factor 3*l**2/5 - 72*l - 363/5. 3*(l - 121)*(l + 1)/5 Determine u so that -u**5 - 6*u**4 - 10*u**3 + 11*u + 6 = 0. -3, -2, -1, 1 Determine f, given that f**4/3 + 81*f**3 + 161*f**2 + 241*f/3 = 0. -241, -1, 0 Factor -x**3/6 + 5*x**2/6 + 11*x/3 + 8/3. -(x - 8)*(x + 1)*(x + 2)/6 Factor 131044*u**2 + 4344*u + 36. 4*(181*u + 3)**2 Factor -27*q**3 - 6810*q**2 - 430164*q - 95256. -3*(q + 126)**2*(9*q + 2) Solve -4*x**2 + 116*x - 312 = 0 for x. 3, 26 Let 21*j**3 - 21417*j**2/5 - 126*j + 3672/5 = 0. What is j? -3/7, 2/5, 204 Factor -2*v**3/7 + 152*v**2/7 + 310*v/7 + 156/7. -2*(v - 78)*(v + 1)**2/7 Suppose -i**3 + 42*i**2 - 480*i + 800 = 0. What is i? 2, 20 Factor -3*m**4/2 - 369*m**3 - 48927*m**2/2 - 217710*m - 522150. -3*(m + 5)**2*(m + 118)**2/2 Determine i, given that 2*i**2/23 + 6558*i/23 + 6556/23 = 0. -3278, -1 Determine f so that -3*f**4/4 - 285*f**3/4 + 3*f**2/4 + 285*f/4 = 0. -95, -1, 0, 1 Factor -2*m**2/13 + 2004*m - 6526026. -2*(m - 6513)**2/13 Factor -j**2/3 + 47*j/3 + 16. -(j - 48)*(j + 1)/3 Determine t so that -3*t**5 + 36*t**4 - 63*t**3 - 294*t**2 = 0. -2, 0, 7 Let 5*m**4 - 35*m**3 + 55*m**2 - 25*m = 0. Calculate m. 0, 1, 5 Find n, given that -n**5/4 + 19*n**4/4 + 33*n**3/2 + n**2 - 22*n = 0. -2, 0, 1, 22 Factor 2*i**4/3 - 4*i**2 + 16*i/3 - 2. 2*(i - 1)**3*(i + 3)/3 Let 45*v**3 - 231*v**2/5 + 6*v/5 = 0. What is v? 0, 2/75, 1 Determine i, given that -4*i**3 - 84*i**2 - 80*i = 0. -20, -1, 0 Let -3*g**5 - 15*g**4 - 9*g**3 + 15*g**2 + 12*g = 0. Calculate g. -4, -1, 0, 1 Factor -1372*g**5 + 78596*g**4 - 1175188*g**3 + 1425420*g**2 - 598752*g + 84672. -4*(g - 28)**2*(7*g - 3)**3 Factor q**2 + 8*q - 105. (q - 7)*(q + 15) Factor -2*h**4 + 4*h**3 + 8*h**2 - 16*h. -2*h*(h - 2)**2*(h + 2) Determine p, given that 4*p**4/3 + 40*p**3 + 112*p**2 + 328*p/3 + 36 = 0. -27, -1 Factor -q**3/2 - 230*q**2 + 926*q - 928. -(q - 2)**2*(q + 464)/2 Solve 2*c**5/3 - 20*c**4/3 - 200*c**3/3 + 740*c**2/3 + 66*c - 240 = 0 for c. -8, -1, 1, 3, 15 Let x**5/2 - 38*x**4 + 395*x**3 + 13056*x**2 + 49545*x/2 + 12150 = 0. What is x? -12, -1, 45 Let -363*z**3 + 2046*z**2 + 780*z + 72 = 0. Calculate z. -2/11, 6 Factor 15*r**4 - 50*r**3 + 45*r**2 - 10*r. 5*r*(r - 2)*(r - 1)*(3*r - 1) Factor h**2/8 - 20*h + 471/8. (h - 157)*(h - 3)/8 Factor 50*f**2 + 946*f - 76. 2*(f + 19)*(25*f - 2) Let -3*q**4/5 - 6*q**3/5 + 3*q**2 + 18*q/5 = 0. Calculate q. -3, -1, 0, 2 Solve -4*x**5/3 - 44*x**4/9 + 628*x**3/9 - 412*x**2/3 + 824*x/9 - 160/9 = 0. -10, 1/3, 1, 4 Determine i, given that -15*i**4/2 + 55*i**3/2 - 55*i**2/2 + 5*i/2 + 5 = 0. -1/3, 1, 2 Factor -2*j**3 + 18*j**2 - 16*j. -2*j*(j - 8)*(j - 1) Let 4*v**3 + 368*v**2 - 748*v + 376 = 0. What is v? -94, 1 Let 3*m**4 + 66*m**3 + 228*m**2 + 216*m = 0. What is m? -18, -2, 0 Factor 2*n**4/5 - 1508*n**3/5 + 285762*n**2/5 - 567008*n/5 + 282752/5. 2*(n - 376)**2*(n - 1)**2/5 Determine a so that 68*a**3 - 439*a**2 + 174*a + 72 = 0. -1/4, 12/17, 6 What is l in 3*l**4 - 42*l**3 + 216*l**2 - 480*l + 384 = 0? 2, 4 Suppose i**2/2 + 14*i + 80 = 0. Calculate i. -20, -8 Determine g so that 4*g**2 + 32*g + 28 = 0. -7, -1 Factor 3*x**2/7 - 5151*x/7 - 5154/7. 3*(x - 1718)*(x + 1)/7 Find b, given that 15*b**3 + 355*b**2 - 370*b = 0. -74/3, 0, 1 Factor 3*z**3/2 + 18*z**2 + 105*z/2 + 36. 3*(z + 1)*(z + 3)*(z + 8)/2 Factor 2*g**2 - 150*g - 152. 2*(g - 76)*(g + 1) What is h in -h**2 + 23*h + 24 = 0? -1, 24 Factor -5*a**4 - 30*a**3 - 25*a**2. -5*a**2*(a + 1)*(a + 5) Factor s**4 + 3*s**3 - 36*s**2 - 108*s. s*(s - 6)*(s + 3)*(s + 6) Factor -2*f**2/5 - 148*f/5 - 2738/5. -2*(f + 37)**2/5 Factor 2*t**4 - 34*t**3 + 202*t**2 - 470*t + 300. 2*(t - 6)*(t - 5)**2*(t - 1) Factor k**5/3 + k**4 + 2*k**3/3. k**3*(k + 1)*(k + 2)/3 Factor 3*q**5 + 4*q**4 + q**3. q**3*(q + 1)*(3*q + 1) Solve -5*
{ "pile_set_name": "DM Mathematics" }
k. Round o to the nearest one hundred. -300 Let g be (-62)/(-22) - (16/(-88) - 0). Suppose 4*u - u - 804 = g*w, 262 = -w + 4*u. Round w to the nearest 100. -300 Let s = 25.959183 + -0.902533. Let t = s + -0.24265. Let v = 0.214 - t. Round v to the nearest integer. -25 Let z = 18538.999987726 - 18539. Round z to six decimal places. -0.000012 Let k = -35159 + 35176.191. Let g = k + -17.2. Round g to two dps. -0.01 Let o = -100.2 + 100.152. Let i = 33.106 + -33. Let h = o - i. Round h to 2 decimal places. -0.15 Let a = 5144.00002156 - 5144. Round a to 6 decimal places. 0.000022 Let p = -2044 - -2043.99999679. What is p rounded to six decimal places? -0.000003 Let h = 0.08495446 + -80.41201446. Let z = 0.40306 + h. Let f = -80 - z. What is f rounded to two decimal places? -0.08 Let q = 3803.1000016143 + -3803.1. What is q rounded to six decimal places? 0.000002 Let x = 18790562.999946 + -18790628. Let k = 132 + -197. Let t = k - x. What is t rounded to 5 dps? 0.00005 Let q = 0.13341 - 0.01161. Round q to two dps. 0.12 Let c = 0.17422 - 4144.67422. What is c rounded to the nearest ten? -4140 Let l = -35.2845 - -37.425. Round l to 0 dps. 2 Let b = -18266.2 - -15974.26. What is b rounded to the nearest one hundred? -2300 Let n = -3155 - -3683.8. Round n to the nearest one hundred. 500 Let j = -118264.145 - -118592. Let x = -326 + j. Let t = -1.9 + x. Round t to 3 decimal places. -0.045 Let t = -1.35 - -1.135. Let i = -20 + 20.21. Let z = i + t. What is z rounded to two dps? -0.01 Let t be -3*24/(-18)*(-461193)/4. Let g = t - -321190. Let c be 3 - (-1 - (-10 + 3)) - g. Round c to the nearest 100000. 100000 Let k = 132.91 + -137.9594. What is k rounded to 1 dp? -5 Let k = 6.588013 - 6.64228137. Let o = k + 0.0543. Round o to six dps. 0.000032 Let n = 9320935 + -9320933.80999727. Let a = n - 1.19. What is a rounded to seven decimal places? 0.0000027 Suppose 14666797 = -7*o + 3403797. What is o rounded to the nearest 1000000? -2000000 Let f = -143617.0742 + 14.0742. Let l = f - -143454.163. Let q = l - -149. Round q to two dps. 0.16 Let i = 163.968 + 0.032. Let u = i + -164.0000062. Round u to six decimal places. -0.000006 Let y = -36 + 47. Suppose -13*d = -y*d - 327884. Let b = d + -739942. What is b rounded to the nearest one hundred thousand? -600000 Let a = 772.0667 + -772. Let q = 0.7997 - a. Round q to one decimal place. 0.7 Suppose 4*u = u + 21. Suppose -t - 2*k - 12 = 0, 8*t - 4*t + 24 = -2*k. Let i be 4 - (t + u + 46400001). What is i rounded to the nearest 1000000? -46000000 Let b = -50164 - -50167.6557. What is b rounded to 2 decimal places? 3.66 Let x = -381251961030.7499998741 - -381251962775.75. Let v = -1745 + x. Round v to seven dps. 0.0000001 Let i = 13358 - 45502. Let t = -32087.292 - i. Let r = t + -0.408. Round r to the nearest ten. 60 Let n = 86866.190801 - 86866. Round n to 3 dps. 0.191 Let g(f) = 208*f**3 + 80*f**2. Let j be g(40). Suppose 175*y = 182*y - j. What is y rounded to the nearest one million? 2000000 Let v(s) = 3*s + 22. Let k be v(14). Let l = k + -50. Suppose 4*d = l*d - 1410. Round d to the nearest 10. 140 Let s = -44663 + 45693.29. What is s rounded to the nearest one hundred? 1000 Let r = -9640 - -9639.986672. What is r rounded to 2 dps? -0.01 Let g = -12003342767 - -12003344438.9999161. Let r = g - 1672. Round r to five decimal places. -0.00008 Let c = -4827 + 4827.0000009853. Round c to 7 dps. 0.000001 Let a = 108400833352517430.764000669 - 108400831512876099. Let c = a + -1839641331. Let l = c + -0.764. Round l to 7 decimal places. 0.0000007 Let u(b) = -b**2 + 12*b + 16. Let s be u(13). Let d be 5934/9 - s/9. Suppose -3*w = 4*j + d, 0 = -2*w + j - 5*j - 438. What is w rounded to the nearest ten? -220 Let c(n) = -4*n**3 + 12*n**2 - 17*n + 9. Suppose -24*u + 95 = -29*u. Let m be c(u). What is m rounded to the nearest 10000? 30000 Let h = -3754.8033 - -3755. Let a = 18.0633 + h. Round a to the nearest integer. 18 Let x = 355.7282277 + -354.08823. Let j = 1.64 - x. What is j rounded to 5 dps? 0 Let j = -3298 - -6005. Let h = j + -2681.97. Round h to the nearest integer. 25 Let o = 46515.41 + -51541.7. Let c = o - -5000. Round c to 0 decimal places. -26 Let w = 0.00022244 + -0.00003. What is w rounded to six decimal places? 0.000192 Let i = -0.10645 - -0.0092. Let d = 0.0965379 + i. What is d rounded to four decimal places? -0.0007 Let c = 51.56 - 51.5600009245. Round c to 7 dps. -0.0000009 Let d = 30.1598 - 30.1. Let h = 17.231 + -17.27. Let x = h + d. What is x rounded to 2 decimal places? 0.02 Let g = -1636.9998628 + 1637. Round g to four decimal places. 0.0001 Suppose 6*q = 12147 + 2991. Let t = 10996 - 17039. Let s = q + t. What is s rounded to the nearest one thousand? -4000 Let t = -1259.245 + 964.2492. Let o = 295 + t. What is o rounded to 3 decimal places? 0.004 Let c = -21.26 - -1277.26. Let y = 1256.00003735 - c. What is y rounded to 6 decimal places? 0.000037 Let d = 1165.737362 + -59.731592. Let i = 1106 - d. What is i rounded to 4 decimal places? -0.0058 Let d = 26.017 - 0.017. Let o = 82 - d. Let m = o + -55.9999924. What is m rounded to 5 decimal places? 0.00001 Let v = -238 - -4. Let o = -6 - 90. Let f = v + o. What is f rounded to the nearest one hundred? -300 Let p = 2.99401 - 2.513. Round p to one dp. 0.5 Let p = 199 - -75. Let r = 273.9789 - p. What is r rounded to 3 decimal places? -0.021 Let a = -0.61 - 11.09. Let m = a - -14.35. Let g = 1 - m. Round g to 1 dp. -1.7 Let g = -63 + 63.0169. Let d = 6644 - 6644.02. Let c = d + g. What is c rounded to 4 decimal places? -0.0031 Let k = -21.519 - -21.521303. Round k to three dps. 0.002 Let v = -170.726 + 2.826. What is v rounded to the nearest 10? -170 Let l = 0.42 - 0.387. Let w = l + 0.907. Let k = w + -0.863. Round k to 2 dps. 0.08 Let d = 11.9566 + -4.6735. What is d rounded to the nearest integer? 7 Let h = 48374821 + -102184821. Round h to the nearest 1000000. -54000000 Let g = 60.4 + -11.4. Let s = g - 148. Let l = s + 98.9989. Round l to 4 decimal places. -0.0011 Let n = -3218.00005632 - -3218. What is n rounded to five decimal places? -0.00006 Let l = -1605 + 1605.000113. What is l rounded to 3 dps? 0 Let a = 18726273482 + -18726271794.0000871. Let r = a + -1688. What is r rounded to six dps? -0.000087 Let x = -17067895.4756 - -17081318. Let l = 13435.12439878 - x. Let i = 12.6 - l. What is i rounded to 7 decimal places? 0.0000012 Let z = 199 + -199.7. Let t = z - -1.53. What is t rounded to one dp? 0.8 Let k = -23.373 + 0.293. Let d = 24 + k. What is d rounded to one decimal place? 0.9 Let i = 48601.99909802 - 48602. Round i to 4 decimal places. -0.0009 Let n = 4514 + -4511.2799. What is n rounded to 1 decimal place? 2.7 Let j = -1073.9117 + -0.0883. Let v = 1073.9501 + j. What is v rounded to three decimal places? -0.05 Suppose -4*l + d = -4, -2*l + 7 = -5*d + 23. Let g(h) = h**2 + 4*h - 7. Let a be g(l). Suppose -2*x + a*t + 225 = 3*x, t + 205 = 5*x. Round x to the nearest 10. 40 Let h = 14 - 14. Let r be h + (-10 - -9) + -2409 + 0. Round r to the nearest one hundred. -2400 Let a = 596.94 + -597. Let j = -2922.93766 - -2923. Let c = j + a. What is c rounded to 4 dps? 0.0023 Let t = 2266.26 - 2044.8. What is t rounded to zero decimal places? 221 Let f = -1.21415 + 13.72925. Let x = 51.5 + -39. Let w = f - x. What is w rounded to 3 decimal places? 0.015 Let u(r) = 34*r + 10. Suppose t - 35 = 23. Suppose t*g = 53*g + 30. Let z be u(g). What is z rounded to the nearest ten? 210 Let u = -1.7285 - -0.0525. Let y = u + -0.128. Let v = -1.49 - y. What is v rounded to two decimal places? 0.31 Let v = 775 + -778.97. Let i = v - -3.793. What is i rounded to 2 dps? -0.18 Let l = -859.1 + 711. Let d = 26.1 + l. Let m = d - -117.3. Round m to the nearest 10. 0 Suppose 6*v = -14*v + 260000. Suppose 8*s - v = -5*s. Round s to the nearest one hundred. 1000 Let o = 23052 + -12343. Let f = 10704.127 - o. Let n = f - -0.703. Round n to one dp. -4.2 Let p = -496.95531 + 496.61. What is p rounded to two decimal places? -0.35 Let n = -1503638.6804 + 1504147. Let z = 508 - n. Round z to two decimal places. -0.32 Let m = 51755.33 - 51490. What is m rounded to the nearest integer? 265 Let l = -2365226.851 + 2362823. Let k = -2405 - l. Let y = k + 0.059. Round
{ "pile_set_name": "DM Mathematics" }
rt(133) + sqrt(133) + -2*sqrt(133)*-2))/sqrt(7) + -4 - (sqrt(171)*1 + sqrt(38)/sqrt(2)*3). -11*sqrt(19) - 4 Simplify (-4 + (sqrt(51)*3)/sqrt(3) + (-2*sqrt(544) + sqrt(34))/sqrt(2))**2. 32*sqrt(17) + 288 Simplify 5*(3 + ((sqrt(1539) + 3)*4)**2). 4320*sqrt(19) + 123855 Simplify (4*(-5*sqrt(539))**2 - ((sqrt(539) - (sqrt(539) + (sqrt(539) - (sqrt(539) - 4*sqrt(539)))) - sqrt(539)) + -3)**2)*5. -1050*sqrt(11) + 202080 Simplify -6*(-5*(6*sqrt(567)*-1 - (sqrt(70)/(sqrt(10)*-1) + (sqrt(7) - (sqrt(343) + -1)))))**2. -2319600 - 14100*sqrt(7) Simplify (sqrt(162)/sqrt(9)*-2)/((sqrt(324) + -3*sqrt(324) - sqrt(324)) + sqrt(324)). sqrt(2)/6 Simplify (5*(0 + 2 + sqrt(2736) + (-4 + sqrt(2736))*6))**2. -92400*sqrt(19) + 3363700 Simplify (6*4*sqrt(33))/(sqrt(99)*-3 + sqrt(99) - sqrt(11)). -24*sqrt(3)/7 Simplify (1 + (2*sqrt(704))**2 + sqrt(704) + (-1 + 1 + sqrt(704))**2)*1*2. 16*sqrt(11) + 7042 Simplify -4*((-2*((sqrt(5) - ((sqrt(560)/sqrt(7) - sqrt(5)) + sqrt(5)) - sqrt(5)) + 3 + sqrt(80)))**2 + -5). -124 Simplify (4 + (sqrt(1458)*2)/(sqrt(384)*-3))**2. -6*sqrt(3) + 283/16 Simplify (3*sqrt(57)/sqrt(3) - 1*sqrt(475)) + 5 + sqrt(171)*-3 + 1. -11*sqrt(19) + 6 Simplify (-2 + sqrt(1331) + 5 - (sqrt(1331) + sqrt(1331) + 0 + sqrt(1331) + 1)**2)*-1. 55*sqrt(11) + 11977 Simplify sqrt(6)/(-2*sqrt(242)) + 3*sqrt(24)/(-1*sqrt(8)). -67*sqrt(3)/22 Simplify (4*(3 + sqrt(135)/sqrt(3) + 3))**2. 576*sqrt(5) + 1296 Simplify ((sqrt(125) + 0 + sqrt(125))**2 + -3)*-6 - (((1 + sqrt(125) + sqrt(125))*-1)**2 + -1). -3482 - 20*sqrt(5) Simplify ((sqrt(84) - 1*2*sqrt(84))/sqrt(12) + 1*(sqrt(175) + 2 - sqrt(175)))**2 + 0. -4*sqrt(7) + 11 Simplify ((sqrt(288) - 2*sqrt(288))*2 - (-2 + sqrt(288) + 2))**2 - ((sqrt(288) - 1*sqrt(288))*2 + ((-1*sqrt(288) - sqrt(288))*5 - sqrt(288))). 132*sqrt(2) + 2592 Simplify (sqrt(567) + -1 + -2 + 3*(sqrt(567) + -4 + sqrt(567)))**2 + 1. -1890*sqrt(7) + 28009 Simplify (4*(sqrt(65)*2*-3*-1)/(sqrt(5) + sqrt(720)*-2 + sqrt(720) + sqrt(720)*-2 + sqrt(720) + sqrt(720) + sqrt(720)))**2. 7488 Simplify -3*6*(sqrt(125) + sqrt(5))*1*2. -216*sqrt(5) Simplify -5*(sqrt(200) + 3 + sqrt(200))**2 + (sqrt(288) + 1 + 5)**2. -3721 - 456*sqrt(2) Simplify 2*(-1*(sqrt(68) - (-2*sqrt(68) + sqrt(68))))/(sqrt(16)/sqrt(64)). -16*sqrt(17) Simplify 6*(sqrt(17) + 1 + 4) - (-3 + 0 + sqrt(17) - (sqrt(306) - sqrt(34))/sqrt(2)). 7*sqrt(17) + 33 Simplify (sqrt(117)*3 + sqrt(117) - ((sqrt(208))**2 + -5)) + (sqrt(13) - (sqrt(39)/sqrt(3) + -2) - ((sqrt(13) + sqrt(117))**2 + -1)). -408 + 12*sqrt(13) Simplify (1*(5*(-3 + sqrt(2736)*-2 - 3*1*sqrt(2736)) + -3))**2. 10800*sqrt(19) + 1710324 Simplify (6*sqrt(1053)*2 + 0 + 1 + -3)**2*-2. -303272 + 864*sqrt(13) Simplify 5 + (sqrt(512)*3)/(sqrt(4) + sqrt(100)*3). 3*sqrt(2)/2 + 5 Simplify (1*(2*sqrt(104) - sqrt(104)) - (sqrt(104) + sqrt(104) + sqrt(104) + -5*-2*sqrt(104)))/(2*sqrt(8)*4 + (sqrt(1152) - (sqrt(1152)*2 + sqrt(1152)))). 3*sqrt(13)/4 Simplify (sqrt(432) + 2 + sqrt(432))**2*2*5 + (sqrt(432)*-2 + -3 + (0 + sqrt(432))*-3)**2. 1320*sqrt(3) + 28129 Simplify (-4 + (sqrt(208)*1*-1 + sqrt(208))*-1 + 2)**2*5. 20 Simplify (-1 + sqrt(112) + 1)**2 + sqrt(112) + (-1*(sqrt(112) + sqrt(112)*2 - sqrt(112)) - sqrt(112))**2 + -2. 4*sqrt(7) + 1118 Simplify (((sqrt(3) - (sqrt(3) + 0 - sqrt(3))) + -3 - 2*sqrt(3)*5)*3*-3)**2. 4374*sqrt(3) + 20412 Simplify (sqrt(100)/sqrt(5))**2 + sqrt(5) + (sqrt(320) + 2 + sqrt(320) - sqrt(320))**2 + (((sqrt(15) + -2*sqrt(15))/sqrt(3) + -3)*-5)**2. 183*sqrt(5) + 694 Simplify (5*((sqrt(128) + (sqrt(128) - (0 + sqrt(128))) - sqrt(128)) + sqrt(128)))**2 - sqrt(4)/(sqrt(72) + -1*sqrt(72) - sqrt(2)). sqrt(2) + 3200 Simplify (-2*sqrt(30)*2 + -1*sqrt(2430))/(((sqrt(110)*1 + sqrt(110))*-5 - sqrt(110) - sqrt(110))/sqrt(11)). 13*sqrt(3)/12 Simplify (sqrt(76)*-1*4 + -5*sqrt(76)*2 + sqrt(76))/(3*-2*(sqrt(12)/sqrt(3) + sqrt(4))). 13*sqrt(19)/12 Simplify ((sqrt(72)*-3 - sqrt(72)) + 2 - (-1*(2 + sqrt(2)) + -1))**2. -230*sqrt(2) + 1083 Simplify (sqrt(320) + sqrt(5) + -5 + sqrt(5) + (sqrt(10)*1)/sqrt(2))**2 + -5. -110*sqrt(5) + 625 Simplify 4 + 2 + (sqrt(125) - sqrt(125)*-1)**2 - (sqrt(90) + -6*(sqrt(90) - (sqrt(90) - (sqrt(90) - sqrt(90)*1))))/sqrt(2). -3*sqrt(5) + 506 Simplify 4*(-2 + sqrt(16)/(sqrt(16)/sqrt(2)) + ((sqrt(10)/sqrt(5))**2 - sqrt(2))*5). -16*sqrt(2) + 32 Simplify ((sqrt(50) + (sqrt(50) + -1)*-5)**2 + sqrt(50) + (sqrt(200)*2)**2)*-6. -9750 + 1170*sqrt(2) Simplify 4 + (sqrt(24)/(sqrt(36)/sqrt(3)) - (sqrt(42)/sqrt(3))/sqrt(7) - sqrt(256)/(sqrt(8) + sqrt(8)*-3)). 2*sqrt(2) + 4 Simplify (sqrt(84)*1*4)/((3*sqrt(72))/sqrt(6)) + -4. -4 + 4*sqrt(7)/3 Simplify (4*(-5 + (sqrt(891) - (sqrt(891) + -1)*-2)*-1))**2. 2592*sqrt(11) + 128448 Simplify sqrt(475) + 0 + (0 + sqrt(171))**2 + 2 + (sqrt(114) - (sqrt(114) - 1*sqrt(114)))/sqrt(6). 6*sqrt(19) + 173 Simplify (3*-2*sqrt(68) + -4*(sqrt(68)*-2 + sqrt(68) + sqrt(68)))/(sqrt(44)/(sqrt(11) - (sqrt(11) + sqrt(44)/(2*sqrt(4))))). 3*sqrt(17) Simplify -4*5*((-1 + sqrt(1053) + -2 - sqrt(1053)) + 0)*6. 360 Simplify 0 + 5 + sqrt(204)/(sqrt(12) - -2*(sqrt(12) - 1*sqrt(12))). sqrt(17) + 5 Simplify (sqrt(176) - (5 + sqrt(176))**2*-1)*-5 + 4. -1001 - 220*sqrt(11) Simplify (3 + (-1 + (-3*(sqrt(192) + sqrt(192)*2) + sqrt(192) - sqrt(192)) - (-5*sqrt(192)*1 - 4*(0 + sqrt(192) - sqrt(192)))))**2. -128*sqrt(3) + 3076 Simplify (-4 + (sqrt(1573) + -1)*4)**2 + -4 + (-1*(sqrt(39)/sqrt(3))**2 - (1 + sqrt(13))*4). -708*sqrt(13) + 25211 Simplify (-1*sqrt(3600) + sqrt(3600) + -3*sqrt(75)/sqrt(3))/(sqrt(30)/(sqrt(72)/sqrt(972))). -sqrt(5)/3 Simplify (sqrt(1152) + -5*-1*sqrt(1152) - (sqrt(1152) + sqrt(1152)*2*6 - sqrt(1152)))**2 + -4 + -2. 41466 Simplify (sqrt(280)/(-2*sqrt(7))*-4)/(1*(4*sqrt(8)*-1 - sqrt(8))). -2*sqrt(5)/5 Simplify (5*(sqrt(228) - sqrt(57)) - sqrt(57))/sqrt(3) - (sqrt(38)/sqrt(2) + -2 - (sqrt(2299) + 0)**2). 3*sqrt(19) + 2301 Simplify (sqrt(3024)*-3)/(sqrt(7)*-3*2) + 2. 2 + 6*sqrt(3) Simplify 3 + (sqrt(24)/sqrt(27))/(sqrt(256)*1). sqrt(2)/24 + 3 Simplify -3 + sqrt(13) + 3 + -2*sqrt(65)/sqrt(5) + -5. -5 - sqrt(13) Simplify ((1*sqrt(170)/sqrt(5))/sqrt(2) + 0 + sqrt(51)/sqrt(3) + -4)**2. -16*sqrt(17) + 84 Simplify (-5*(-1 + sqrt(432) + 3) - (sqrt(432) - (-1 + (sqrt(432) + -1 + sqrt(432) - sqrt(432))) - (1 + sqrt(432) + -2)))**2. 1248*sqrt(3) + 7081 Simplify (((-1*sqrt(600))/sqrt(2) + -4 + -2)*-6)**2. 4320*sqrt(3) + 12096 Simplify (5*(sqrt(88) - 1*sqrt(88)*-6))/(sqrt(648) - (sqrt(648) + 2*sqrt(648)*4)). -35*sqrt(11)/72 Simplify ((sqrt(448) - (sqrt(448) - (sqrt(448)*-2 + -1))) + (sqrt(448) - 2*sqrt(448))*1 - ((-2*sqrt(448)*-2 - sqrt(448)) + 2 + 2*sqrt(448)))**2. 384*sqrt(7) + 28681 Simplify 5 + (sqrt(686)*1)/sqrt(2)*1. 5 + 7*sqrt(7) Simplify 1*((-2 + sqrt(245) + sqrt(245) + 2)**2 - (2 + sqrt(245) + 0)**2). -28*sqrt(5) + 731 Simplify ((sqrt(200) - (sqrt(200) + -1)*-2) + 4 - ((0 + sqrt(200))*-2 + sqrt(200) + 0 + -5))**2. 560*sqrt(2) + 3249 Simplify (sqrt(187) - 3*sqrt(187)*-6)/(sqrt(44)*2 - sqrt(11))*2. 38*sqrt(17)/3 Simplify (-1*sqrt(3)*4 - sqrt(12)/sqrt(64)) + 2*sqrt(12)*1. -sqrt(3)/4 Simplify (-3*sqrt(1216)*2*-2 + -6*1*sqrt(1216) + (sqrt(1216) - (3 + sqrt(1216) + 1)) + -3)**2. -672*sqrt(19) + 43825 Simplify -5 + (-1*(sqrt(363) + -1 + sqrt(363) + -1)*6)**2. -3168*sqrt(3) + 52411 Simplify (sqrt(8)/sqrt(4))**2 + 1 + sqrt(12)/(sqrt(12)/sqrt(2)) - ((((sqrt(2) - sqrt(6)/sqrt(3)) + sqrt(2))*2 + sqrt(2) - sqrt(2))*5)**2. -197 + sqrt(2) Simplify ((sqrt(425) + sqrt(425)*-1)*-3 + (sqrt(425) + 0)*1)**2. 425 Simplify (-4*(sqrt(66) - (sqrt(66) - (sqrt(66) - (sqrt(66) + -5*sqrt(66))))))/(3*(sqrt(6) - sqrt(24)/sqrt(4)) + sqrt(6)). -20*sqrt(11) Simplify ((sqrt(272) - sqrt(17)) + -4)*-1 - -4*(sqrt(272) + 4). 20 + 13*sqrt(17) Simplify (sqrt(168)*2*-4 + sqrt(168)*1*3)/((sqrt(12)*-1*2)/sqrt(2)). 5*sqrt(7) Simplify (sqrt(187)/(1*sqrt(11)) + sqrt(204)/(sqrt(48) + sqrt(12)))**2 - -2*-1*(sqrt(2448) + 1). -24*sqrt(17) + 254/9 Simplify -3*-2*sqrt(325) - (sqrt(13) + (sqrt(65) + -1*sqrt(65) + sqrt(65))/sqrt(5) + -4*(sqrt(13)*-2)**2). 28*sqrt(13) + 208 Simplify (sqrt(6) + (3*sqrt(96) + sqrt(96) - sqrt(96)))/((sqrt(21)/sqrt(112) - sqrt(3)) + sqrt(3)). 52*sqrt(2) Simplify ((-1 + ((sqrt(1100) + 2)*1 - sqrt(1100)) + 0)*-4)**2 + 2. 18 Simplify (2 + sqrt(72)*-2*-1 + -1 + ((sqrt(72) + (sqrt(72) - (sqrt(72) + -1 + sqrt(72) + 1 + sqrt(72))) - sqr
{ "pile_set_name": "DM Mathematics" }
ime factors of 17065? 5, 3413 List the prime factors of 137. 137 List the prime factors of 59473. 59473 What are the prime factors of 1185? 3, 5, 79 List the prime factors of 28842. 2, 3, 11, 19, 23 List the prime factors of 3806. 2, 11, 173 List the prime factors of 2401. 7 What are the prime factors of 745? 5, 149 What are the prime factors of 27439? 23, 1193 List the prime factors of 624. 2, 3, 13 List the prime factors of 6621. 3, 2207 List the prime factors of 122651. 122651 List the prime factors of 8038. 2, 4019 List the prime factors of 163. 163 List the prime factors of 3068. 2, 13, 59 List the prime factors of 66856. 2, 61, 137 What are the prime factors of 1123? 1123 What are the prime factors of 26373? 3, 59, 149 List the prime factors of 20568. 2, 3, 857 What are the prime factors of 10742? 2, 41, 131 List the prime factors of 449. 449 List the prime factors of 726. 2, 3, 11 What are the prime factors of 17820? 2, 3, 5, 11 What are the prime factors of 116336? 2, 11, 661 List the prime factors of 54392. 2, 13, 523 What are the prime factors of 73629? 3, 101 List the prime factors of 18281. 101, 181 What are the prime factors of 4947? 3, 17, 97 List the prime factors of 5315. 5, 1063 What are the prime factors of 5198? 2, 23, 113 What are the prime factors of 162479? 47, 3457 List the prime factors of 4849. 13, 373 List the prime factors of 32877. 3, 13, 281 List the prime factors of 3358. 2, 23, 73 List the prime factors of 8484. 2, 3, 7, 101 What are the prime factors of 8290? 2, 5, 829 What are the prime factors of 8163? 3, 907 List the prime factors of 10877. 73, 149 List the prime factors of 130. 2, 5, 13 What are the prime factors of 3640? 2, 5, 7, 13 What are the prime factors of 9195? 3, 5, 613 List the prime factors of 6328. 2, 7, 113 List the prime factors of 5871. 3, 19, 103 What are the prime factors of 8141? 7, 1163 List the prime factors of 141986. 2, 13, 43, 127 What are the prime factors of 19203? 3, 37, 173 List the prime factors of 53799. 3, 79, 227 What are the prime factors of 732? 2, 3, 61 What are the prime factors of 2228? 2, 557 What are the prime factors of 18421? 13, 109 What are the prime factors of 1123? 1123 What are the prime factors of 24246? 2, 3, 449 List the prime factors of 11651. 61, 191 List the prime factors of 25165. 5, 7, 719 List the prime factors of 49323. 3, 41, 401 What are the prime factors of 35469? 3, 7, 563 What are the prime factors of 2802? 2, 3, 467 What are the prime factors of 566? 2, 283 List the prime factors of 7427. 7, 1061 What are the prime factors of 76? 2, 19 What are the prime factors of 63741? 3, 21247 What are the prime factors of 21886? 2, 31, 353 List the prime factors of 1398. 2, 3, 233 What are the prime factors of 35055? 3, 5, 19, 41 What are the prime factors of 1926? 2, 3, 107 What are the prime factors of 3448? 2, 431 What are the prime factors of 1663? 1663 List the prime factors of 2010. 2, 3, 5, 67 What are the prime factors of 11498? 2, 5749 List the prime factors of 5212. 2, 1303 List the prime factors of 7545. 3, 5, 503 List the prime factors of 20995. 5, 13, 17, 19 List the prime factors of 25476. 2, 3, 11, 193 What are the prime factors of 36889? 37, 997 List the prime factors of 8530. 2, 5, 853 List the prime factors of 3949. 11, 359 What are the prime factors of 33709? 13, 2593 What are the prime factors of 1935? 3, 5, 43 What are the prime factors of 1570? 2, 5, 157 List the prime factors of 4466. 2, 7, 11, 29 What are the prime factors of 16656? 2, 3, 347 List the prime factors of 85296. 2, 3, 1777 What are the prime factors of 89907? 3, 23, 1303 What are the prime factors of 50282? 2, 31, 811 What are the prime factors of 6374? 2, 3187 List the prime factors of 6977. 6977 List the prime factors of 34. 2, 17 What are the prime factors of 976? 2, 61 What are the prime factors of 4685? 5, 937 List the prime factors of 388. 2, 97 List the prime factors of 2118. 2, 3, 353 List the prime factors of 924. 2, 3, 7, 11 List the prime factors of 16324. 2, 7, 11, 53 List the prime factors of 1182. 2, 3, 197 List the prime factors of 9209. 9209 List the prime factors of 517. 11, 47 What are the prime factors of 88304? 2, 5519 List the prime factors of 28631. 28631 List the prime factors of 3117. 3, 1039 List the prime factors of 39. 3, 13 What are the prime factors of 1901? 1901 List the prime factors of 27. 3 List the prime factors of 14596. 2, 41, 89 What are the prime factors of 10141? 10141 List the prime factors of 107521. 19, 5659 List the prime factors of 16931. 16931 List the prime factors of 253. 11, 23 List the prime factors of 1366. 2, 683 What are the prime factors of 1936? 2, 11 What are the prime factors of 216? 2, 3 What are the prime factors of 264? 2, 3, 11 List the prime factors of 69915. 3, 5, 59, 79 List the prime factors of 17147. 13, 1319 List the prime factors of 40349. 157, 257 What are the prime factors of 3084? 2, 3, 257 List the prime factors of 109917. 3, 23, 59 List the prime factors of 1929. 3, 643 List the prime factors of 4257. 3, 11, 43 List the prime factors of 919. 919 List the prime factors of 1173. 3, 17, 23 List the prime factors of 30036. 2, 3, 2503 List the prime factors of 565. 5, 113 What are the prime factors of 48? 2, 3 List the prime factors of 1815. 3, 5, 11 List the prime factors of 207596. 2, 51899 What are the prime factors of 9696? 2, 3, 101 List the prime factors of 8291. 8291 List the prime factors of 20268. 2, 3, 563 List the prime factors of 4711. 7, 673 List the prime factors of 42700. 2, 5, 7, 61 What are the prime factors of 1445? 5, 17 List the prime factors of 3529. 3529 List the prime factors of 68394. 2, 3, 11399 List the prime factors of 9485. 5, 7, 271 List the prime factors of 1982. 2, 991 List the prime factors of 429. 3, 11, 13 List the prime factors of 3617. 3617 What are the prime factors of 88431? 3, 7, 4211 List the prime factors of 823. 823 List the prime factors of 51225. 3, 5, 683 What are the prime factors of 3385? 5, 677 What are the prime factors of 1923? 3, 641 What are the prime factors of 1716? 2, 3, 11, 13 What are the prime factors of 12843? 3, 1427 List the prime factors of 3973. 29, 137 List the prime factors of 1510. 2, 5, 151 List the prime factors of 19972. 2, 4993 List the prime factors of 25567. 37, 691 List the prime factors of 53016. 2, 3, 47 What are the prime factors of 2458? 2, 1229 What are the prime factors of 1768? 2, 13, 17 List the prime factors of 45834. 2, 3, 7639 What are the prime factors of 2341? 2341 List the prime factors of 12096. 2, 3, 7 What are the prime factors of 37856? 2, 7, 13 What are the prime factors of 3230? 2, 5, 17, 19 List the prime factors of 19526. 2, 13, 751 List the prime factors of 9248. 2, 17 What are the prime factors of 2307? 3, 769 What are the prime factors of 9678? 2, 3, 1613 What are the prime factors of 761? 761 What are the prime factors of 2109? 3, 19, 37 What are the prime factors of 1006? 2, 503 What are the prime factors of 21227? 21227 List the prime factors of 63837. 3, 41, 173 List the prime factors of 951. 3, 317 List the prime factors of 58808. 2, 7351 List the prime factors of 1745. 5, 349 List the prime factors of 22058. 2, 41, 269 What are the prime factors of 1623? 3, 541 List the prime factors of 5185. 5, 17, 61 List the prime factors of 1118. 2, 13, 43 List the prime factors of 1815. 3, 5, 11 What are the prime factors of 92599? 13, 17, 419 List the prime factors of 8109. 3, 17, 53 List the prime factors of 1589. 7, 227 What are the prime factors of 2793? 3, 7, 19 List the prime factors of 3415. 5, 683 List the prime factors of 18790. 2, 5, 1879 List the prime factors of 380. 2, 5, 19 List the prime factors of 3009. 3, 17, 59 List the prime factors of 226. 2, 113 What are the prime factors of 2132? 2, 13, 41 What are the prime factors of 4197? 3, 1399 What are the prime factors of 22620? 2, 3, 5, 13, 29 What are the prime factors of 31630? 2, 5, 3163 List the prime factors of 20309. 23, 883 What are the prime factors of 261? 3, 29 List the prime factors of 573. 3, 191 List the prime factors of 14223. 3, 11, 431 What are the prime factors of 7182? 2, 3, 7, 19 List the prime factors of 1078. 2, 7, 11 List the pr
{ "pile_set_name": "DM Mathematics" }
-368.4 * 64 -23577.6 What is 22939 times -0.05? -1146.95 Calculate 1.9785*0.4. 0.7914 Product of -0.0892298 and -1. 0.0892298 Multiply 40 and -43492. -1739680 4.7069 times -0.8 -3.76552 Work out -7 * 0.16934. -1.18538 Work out -617 * 26. -16042 Product of -55845 and -2.4. 134028 Product of -1461.61 and -0.2. 292.322 -2039307 * -0.5 1019653.5 What is the product of 0.28 and 76.3? 21.364 Calculate 193*137. 26441 Work out 20 * -1872. -37440 Calculate -3.5*85.1. -297.85 Calculate 4*125293. 501172 What is the product of 17.144 and 0.3? 5.1432 -0.3 times -362094 108628.2 What is the product of -0.1485 and -0.268? 0.039798 What is 17.4 times 6.5? 113.1 0 * -41.213 0 -0.0219 * 133 -2.9127 What is 0.93588 times -3? -2.80764 Calculate -32486*-16. 519776 5 times 1.325028 6.62514 Calculate -0.5*415.74. -207.87 Work out 0.1 * 12396. 1239.6 What is the product of -103 and 14177? -1460231 Multiply -233 and 4.16. -969.28 -641 * -122 78202 Work out 1.7 * 1.775. 3.0175 9*-155399 -1398591 7 * -0.0506988 -0.3548916 Product of -1.88 and -19340. 36359.2 Calculate 0*-162.766. 0 What is -41500 times -0.2? 8300 Work out -206935 * 1. -206935 Product of 340 and -22. -7480 Product of 8194 and 4. 32776 What is 207511 times 0.5? 103755.5 What is -0.0143 times 1886? -26.9698 What is the product of 4 and -50145? -200580 Work out 850 * -130. -110500 -0.21 * 10.49 -2.2029 What is the product of 1.26 and -0.323? -0.40698 165426 times -5 -827130 Product of -770.9 and 0.05. -38.545 Calculate -2.7*4000. -10800 -9356 times 0 0 -2041 times -0.52 1061.32 0.071 * 1892 134.332 26574*-1 -26574 Calculate -3*183.6. -550.8 Multiply -0.25676 and -2. 0.51352 Calculate 57239.1*0.06. 3434.346 Calculate -0.03*58.09. -1.7427 0 * 132093 0 2 times -358168 -716336 What is the product of 0.1 and -17301? -1730.1 Calculate -5*26201. -131005 Product of 173628 and 0. 0 1276017 * -0.5 -638008.5 What is 5 times 9868? 49340 What is the product of 0.4 and 13914? 5565.6 Product of 4192 and -7. -29344 What is 17312.1 times 9? 155808.9 0.5 * 4.9737 2.48685 2601 times 4 10404 Multiply 19.87 and 13. 258.31 Multiply 10 and 2.489. 24.89 Product of 10.4 and -0.02909. -0.302536 0.39*-0.3877 -0.151203 What is 0.4 times -56.8886? -22.75544 -0.4*-617971 247188.4 What is -0.067949 times -0.5? 0.0339745 -454 times -0.5 227 -6 * -118.33 709.98 Work out -3 * -1.358. 4.074 What is the product of -1 and 32422? -32422 Product of 0.5193 and 0.112. 0.0581616 -0.2 * 108388 -21677.6 -0.3 * 56159 -16847.7 Multiply 1.184 and 32. 37.888 Product of -2.93 and 744. -2179.92 Product of 1281 and 147. 188307 -0.028 * -0.0714 0.0019992 Calculate -196.3*-0.4. 78.52 What is 0.17 times 36.58? 6.2186 1*-6986 -6986 3.1722 times -49 -155.4378 What is the product of 0.7 and -139? -97.3 -110 * 2947 -324170 Product of -0.4 and -0.044068. 0.0176272 Calculate 0.5*-10643. -5321.5 -9.33*-3 27.99 Work out -109466 * -0.3. 32839.8 3*-0.008865 -0.026595 2142 * -9 -19278 What is the product of 783 and 2? 1566 0.7*0.101748 0.0712236 Multiply -0.93004 and 0.3. -0.279012 -4401*-0.02 88.02 -5*-115.222 576.11 Multiply 0.09128 and 4. 0.36512 83*-0.866 -71.878 What is 1 times -59188? -59188 Work out -6096.7 * 0.2. -1219.34 1*0.65558 0.65558 Multiply 1.34 and -114. -152.76 Product of 4.5 and -0.0152. -0.0684 Product of 4 and -13582. -54328 Calculate 0.09*-2.0153. -0.181377 What is the product of 0.76 and 29.6? 22.496 What is the product of 15.7 and -4.7? -73.79 What is 0.06 times 388.68? 23.3208 -0.55*0.5145 -0.282975 What is -9 times 30.01? -270.09 -3*-0.47598 1.42794 Multiply 23448 and -7. -164136 -0.4 times 8032 -3212.8 What is 278 times -0.4592? -127.6576 -12.33 times -0.1 1.233 Work out 0.078 * -1.625. -0.12675 8*8540 68320 Calculate 2242*19. 42598 Multiply -4 and 456988. -1827952 -0.4*0.0555 -0.0222 71357 times -0.01 -713.57 Calculate 0.4*2788. 1115.2 What is the product of 539 and -382? -205898 Calculate 696.25*-1. -696.25 What is 0.5 times 0.061671? 0.0308355 12 * 83825 1005900 -0.3*-1.1074 0.33222 Product of -3058 and -40. 122320 What is 126322 times 3? 378966 Product of -0.01949 and -0.6. 0.011694 Product of -0.7 and 16241. -11368.7 What is the product of -0.7 and -14.4847? 10.13929 Product of 936 and -0.11. -102.96 Multiply -0.28 and 22.7. -6.356 Calculate -93.684*14. -1311.576 Product of 119319 and -1. -119319 0.2 * -1798.37 -359.674 0.2*-5.933 -1.1866 Work out 10065.9 * 3. 30197.7 Calculate 0.5*-437.58. -218.79 What is the product of 3 and -2.575? -7.725 Work out 1461 * 2.9. 4236.9 Work out -23 * -1031. 23713 Calculate 0*37817. 0 Work out 0.05 * -39. -1.95 What is the product of 12.742 and 3.6? 45.8712 Work out 12374 * 16. 197984 Work out 831 * -13. -10803 -1763 * 0.6 -1057.8 -0.24*23258 -5581.92 Product of 14 and -29.4548. -412.3672 0.103 * -17.1 -1.7613 Multiply 5 and -908. -4540 Product of -32152 and 3. -96456 What is the product of -0.174491 and 0.1? -0.0174491 What is the product of -0.3 and -2108? 632.4 Multiply -0.5 and 25048. -12524 -4000 times -9 36000 Work out 400.337 * 0.5. 200.1685 Calculate 0.1*19776. 1977.6 Product of -144483 and 0.1. -14448.3 Calculate -0.1*-10242. 1024.2 Calculate 0.1*1507567. 150756.7 Work out 2 * -4269.98. -8539.96 -0.4 * -1191261 476504.4 -0.07 times 176305 -12341.35 What is 28489 times -0.2? -5697.8 What is the product of -196 and -114? 22344 -4*-9606 38424 -0.553*-763 421.939 Product of 4 and -0.24605. -0.9842 0.3 times -347.47 -104.241 Multiply 8.02 and -21. -168.42 Product of -166 and -176. 29216 Calculate 0.028*-106. -2.968 0.24*831 199.44 What is 1 times 12.6843? 12.6843 107 times -191 -20437 What is 26.727 times 0.24? 6.41448 6.798*-0.78 -5.30244 1.1 times 54.9939 60.49329 What is 2247 times 0.02? 44.94 What is 1.6 times 0.2437? 0.38992 Product of -3610 and -343. 1238230 Multiply 307032 and -0.3. -92109.6 What is the product of -539 and 541.6? -291922.4 What is the product of 5 and -1.5344? -7.672 0 times -52937 0 117438 times -0.3 -35231.4 What is the product of 0.353 and -184? -64.952 1259*31 39029 What is 0.08617 times -0.151? -0.01301167 What is 402 times 2335? 938670 Work out -3 * -10371. 31113 What is -25009 times -15? 375135 Product of 0.03 and -79529. -2385.87 -399 * 27 -10773 52259 * 0.05 2612.95 What is the product of 3 and -834882? -2504646 1881 * -25 -47025 Product of -0.13796 and -29. 4.00084 -68 times 11619 -790092 Work out 4.657 * -1.04. -4.84328 Work out -129059 * 0.2. -25811.8 4 times 386483 1545932 Product of 1.2 and 2778. 3333.6 Product of -0.028 and -0.306. 0.008568 Product of 6.06 and 32. 193.92 Multiply -5.6 and 0.04205. -0.23548 What is -1675 times 1? -1675 66901 times -0.5 -33450.5 -570375 * 0.02 -11407.5 Calculate 0.1*-380300. -38030 Multiply 713813 and 4. 2855252 What is the product of 37.23898 and 0.1? 3.723898 Product of -169 and 933. -157677 What is 145.836 times 5? 729.18 Product of 7.16 and 0.05792. 0.4147072 What is the product of 1.9 and 42.2? 80.18 Work out 3.1292 * 0.3. 0.93876 Product of -283251 and 0.5. -141625.5 -14822058 times 0.1 -1482205.8 -0.017784 times -5 0.08892 What is -6199 times -6? 37194 What is 0 times 2944? 0 0.02 times 2510 50.2 4 * 20103 80412 Product of -13.59 and 5. -67.95 16254*2 32508 586*0.154 90.244 -20615 times 1 -20615 -0.4 * 99760 -39904 Calculate 955999*0.3. 286799.7 -9 * 49733 -447597 Calculate -298.112*1. -298.112 Calculate -862.5*-0.3. 258.75 Work out -0.1 * -804596. 80459.6 What is the product of 6.02 and -6.1? -36.722 Multiply -0.3 and -6347.43. 1904.229 Work out 2 * 16077.1. 32154.2 What is the product of 2.77 and 26? 72.02 Multiply -2963 and -0.15. 444.45 What is the product of -3125 and 0? 0 3315*0.16 530.4 Multiply 15 and -1.2105. -18.1575 Work out 0.1 * 19.003. 1.9003 -1.5 times -56858 85287 -0.0322*-0.2 0.00644 What is the product of 2 and 7478.1? 14956.2 What is the product of -0.1 and 0.30956? -0.030956 9 times 53940 485460 -0.5 times -0.7674 0.3837 Calculate -4.5857*-6. 27.5142 Calculate -0.2*47.594. -9.5188 What is 131909 times 0? 0 4*4.39844 17.59376 Calculate -56*84.29. -4720.24 Work out 805.56 * 1. 805.56 168*-0.0046 -0.7728 -51.2 * -369 18892.8 Product of -1174.8 and 12. -14097.6 Work out 208.73 * 0.4. 83.492 -831998 times -0.5 415999 10348*2 20696 1566 * -3.6 -5637.6 0.5959 times 5 2.9795 Product of 175962 and -0.2. -35192
{ "pile_set_name": "DM Mathematics" }
12*w**2 - 3556516463713176*w/5 = 0. Calculate w. -24346514, -3, 0 Find k such that 35*k**4/3 + 10228*k**3/3 + 523015*k**2/3 + 7944086*k/3 + 5072912 = 0. -232, -29, -78/35 Factor f**3 + 5507143*f**2/4 + 947769156505*f/2 - 473884922449/4. (f + 688393)**2*(4*f - 1)/4 Factor 22*b**2 + 2217016*b + 1007730. 2*(b + 100773)*(11*b + 5) Factor -5*k**4 + 55315*k**3 - 7562055*k**2 + 260069625*k. -5*k*(k - 10925)*(k - 69)**2 Suppose -3*q**4/5 + 354600*q**3 - 349284545928*q**2/5 + 22937516088540192*q/5 - 137612522670551856/5 = 0. Calculate q. 6, 196998 Find f such that 3*f**4 + 1259754*f**3 + 132147526323*f**2 - 21167797632480*f + 847034525203200 = 0. -210039, 80 Solve 2*w**2/7 - 21984*w/7 + 8697582/7 = 0 for w. 411, 10581 Solve 50*j**3 - 13937640*j**2 + 11150088*j - 2230016 = 0. 2/5, 278752 Factor -x**2/5 + 130274*x/5 - 1693393/5. -(x - 130261)*(x - 13)/5 Suppose 2*n**4/3 - 25358*n**3/3 - 2166730*n**2/3 - 13408950*n + 86157000 = 0. Calculate n. -45, 5, 12764 Suppose -b**4 + 40148*b**3 - 80291*b**2 - 40148*b + 80292 = 0. Calculate b. -1, 1, 2, 40146 Factor 2*i**2 + 58570*i - 1348168. 2*(i - 23)*(i + 29308) Let 5*u**3/2 - 7563897*u**2/2 + 9076664*u - 3025554 = 0. Calculate u. 2/5, 2, 1512777 Solve 3*p**2 + 9165*p + 3199518 = 0. -2653, -402 Factor 2*t**3 + 3456*t**2 + 302922*t - 1942380. 2*(t - 6)*(t + 99)*(t + 1635) Solve -2*j**3/9 - 13930*j**2/9 + 982450*j/9 - 5745250/3 = 0 for j. -7035, 35 Factor -5*o**2 - 96900*o - 174414880. -5*(o + 2008)*(o + 17372) Factor -4*q**2/7 - 1184772*q/7 + 9478432/7. -4*(q - 8)*(q + 296201)/7 Solve -11*z**3/7 + 186415*z**2/7 + 220384*z/7 - 1016880/7 = 0 for z. -3, 20/11, 16948 Solve -3*g**4 + 1756362*g**3 + 28102521*g**2 + 22833420*g - 52692300 = 0. -15, -2, 1, 585470 Let -5*m**4 + 2065*m**3 + 94595*m**2 + 433415*m + 505050 = 0. Calculate m. -37, -3, -2, 455 What is u in -3*u**2 + 1024803216*u - 87518469293661888 = 0? 170800536 Solve 3*u**2 + 1470480*u - 11764032 = 0 for u. -490168, 8 Factor 5*f**2/3 - 21513245*f/3 + 43026430. 5*(f - 4302643)*(f - 6)/3 Factor 3*i**2/2 - 212898945*i/2 - 106449474. 3*(i - 70966316)*(i + 1)/2 Factor 4*y**2 - 382192*y - 32132352. 4*(y - 95632)*(y + 84) Determine z so that z**5 - 353*z**4 + 16493*z**3 + 112217*z**2 - 7878*z - 559440 = 0. -5, -3, 2, 63, 296 Factor -5*b**3 - 80*b**2 + 335*b + 950. -5*(b - 5)*(b + 2)*(b + 19) Factor -3*a**2/4 - 6271155*a/2 - 13109128344675/4. -3*(a + 2090385)**2/4 Factor -2*m**4/5 + 1980598*m**3/5 - 1980596*m**2/5. -2*m**2*(m - 990298)*(m - 1)/5 Factor 3*o**3 - 7694040*o**2 - 30776208*o. 3*o*(o - 2564684)*(o + 4) Suppose p**2/4 - 66695*p/2 - 9475731/4 = 0. Calculate p. -71, 133461 Let -5*w**4 - 11875*w**3 + 2111585*w**2 + 6488875*w - 8588580 = 0. Calculate w. -2541, -4, 1, 169 Solve 16*m**5 + 3164*m**4 + 125288*m**3 + 208096*m**2 - 59904*m = 0. -144, -52, -2, 0, 1/4 Factor -3*v**2 + 1086813*v + 1086816. -3*(v - 362272)*(v + 1) What is u in -16*u**4/7 - 624*u**3/7 - 4740*u**2/7 + 5216*u/7 - 192 = 0? -28, -12, 1/2 Solve -14*j**4/9 + 6626*j**3/9 - 271252*j**2/3 + 6950720*j/9 + 5382400/9 = 0. -5/7, 10, 232 Solve -3*v**3 + 9435222*v**2 + 9435225*v = 0. -1, 0, 3145075 Factor v**2/6 - 501170*v/3 - 1002343/2. (v - 1002343)*(v + 3)/6 Factor -a**2/4 + 7706676*a. -a*(a - 30826704)/4 Factor 4*v**2 + 97235260*v + 194470504. 4*(v + 2)*(v + 24308813) Factor -9*o**2 - 25843683*o + 17229126. -3*(o + 2871521)*(3*o - 2) Factor -1152*h**3/11 - 190560*h**2/11 - 757750*h - 3368750. -2*(h + 5)*(24*h + 1925)**2/11 Factor -2*z**2/11 - 281340248*z/11 - 9894041893087688/11. -2*(z + 70335062)**2/11 Determine p so that 5174*p**2 + 5372*p + 198 = 0. -1, -99/2587 Solve 5*m**4/3 + 60020*m**3/3 + 657925*m**2 - 17239840*m/3 - 19153600/3 = 0. -11971, -40, -1, 8 Factor -g**3 + 312411*g**2 + 312414*g - 624824. -(g - 312412)*(g - 1)*(g + 2) Factor -s**3/7 - 4436*s**2 - 35438515*s - 15439843650. -(s + 462)*(s + 15295)**2/7 What is a in 2*a**3 + 8822*a**2 - 1748380*a = 0? -4601, 0, 190 Factor l**2/6 - 59017*l + 4956252. (l - 354018)*(l - 84)/6 Determine t so that -9*t**5/7 + 750*t**4 - 262609*t**3/7 - 176824*t**2/7 - 4224*t = 0. -1/3, 0, 56, 528 Factor -c**2 + 183334186*c - 8402855939070649. -(c - 91667093)**2 Determine y so that 2*y**3/17 + 1087880*y**2/17 + 6527194*y/17 - 7615076/17 = 0. -543934, -7, 1 Factor m**3/3 + 364608*m**2 + 18229775*m + 683608750/3. (m + 25)**2*(m + 1093774)/3 Find m, given that 2*m**5/11 - 576*m**4/11 + 24930*m**3/11 - 15012*m**2 - 3295080*m/11 - 7678800/11 = 0. -6, -3, 30, 237 Factor -4*t**2/9 - 678859352*t/3 - 28803126237366244. -4*(t + 254572257)**2/9 Factor 4*p**3 - 9796*p**2 + 1833536*p - 3627920. 4*(p - 2245)*(p - 202)*(p - 2) Determine p, given that p**4/2 + 329299*p**3/3 - 5488573*p**2/6 - 5268994*p/3 - 2195410/3 = 0. -219541, -1, -2/3, 10 Find d, given that -3*d**3 - 4146*d**2 - 124020*d + 7533000 = 0. -1350, -62, 30 Determine u so that -2*u**3/5 - 33506*u**2/5 - 4727606*u/5 - 167472102/5 = 0. -16611, -71 Find y, given that -15*y**2 - 21107830*y - 14071880 = 0. -1407188, -2/3 Let -5*b**2 - 15660*b - 10940800 = 0. Calculate b. -2080, -1052 Factor 3*u**3/4 - 87945*u**2/4 + 43971*u/2. 3*u*(u - 29314)*(u - 1)/4 Suppose k**2/5 + 1301*k/5 - 2990106/5 = 0. Calculate k. -2498, 1197 Solve b**4/6 - 141*b**3/2 + 1102*b**2 + 58618*b/3 + 34104 = 0. -9, -2, 28, 406 Determine h so that 3*h**5 - 8031*h**4 - 389862*h**3 - 6896610*h**2 - 52919325*h - 148989375 = 0. -15, -9, 2725 Factor y**3/2 + 6385*y**2/2 + 1966931*y - 1970124. (y - 1)*(y + 692)*(y + 5694)/2 Factor -2*p**2/7 + 232382796*p/7 - 6750220484597202/7. -2*(p - 58095699)**2/7 Determine x, given that x**5/2 - 302*x**4/5 + 10097*x**3/10 + 68943*x**2/5 + 115236*x/5 = 0. -36/5, -2, 0, 33, 97 What is i in -2*i**3/3 - 49656*i**2 + 4473090*i - 100674900 = 0? -74574, 45 Factor -3*p**2 + 125289*p + 626520. -3*(p - 41768)*(p + 5) Factor -9*c**3 - 970*c**2 - 22875*c + 139750. -(c - 5)*(c + 65)*(9*c + 430) Let 2*f**4/5 - 416*f**3 - 2262*f**2/5 + 37476*f = 0. Calculate f. -10, 0, 9, 1041 Solve 9*z**4/7 + 17457*z**3/7 + 133335*z**2/7 + 7437*z - 28980 = 0. -1932, -7, -5/3, 1 Factor -60164*u**2 + 120408*u - 160. -4*(u - 2)*(15041*u - 20) Suppose -5*i**5 + 5395*i**4 + 266775*i**3 + 4154525*i**2 + 23649230*i + 32728080 = 0. What is i? -24, -11, -2, 1127 Solve -36*d**4/7 + 26797908*d**3/7 + 10208756*d**2 + 38708220*d/7 + 5955112/7 = 0. -2, -1/3, 744389 Suppose -z**2/7 + 143316342*z/7 - 5134893471065241/7 = 0. What is z? 71658171 Let 2*r**4/5 + 1476*r**3 + 2156986*r**2/5 - 19908288*r/5 + 6225912 = 0. What is r? -3369, -330, 2, 7 Factor -2*o**2/3 - 4864*o/3 + 278656/3. -2*(o - 56)*(o + 2488)/3 Suppose h**5 - 26960*h**4 - 323679*h**3 + 404554*h**2 + 701272*h = 0. What is h? -13, -1, 0, 2, 26972 Factor 2*s**4 + 199932*s**3 + 5549120546*s**2 + 27616605560544*s + 38159789379840128. 2*(s + 2936)**2*(s + 47047)**2 Factor 8*l**2 + 246733692*l + 123366844. 4*(l + 30841711)*(2*l + 1) Factor -16*q**2/7 + 6402*q/7 - 800/7. -2*(q - 400)*(8*q - 1)/7 Determine q, given that -5*q**2 - 49581710*q - 49581705 = 0. -9916341, -1 Factor -5*h**2/3 - 22395*h - 804060. -5*(h + 36)*(h + 13401)/3 Factor 5*l**2 - 2667685*l - 8003100. 5*(l - 533540)*(l + 3) Let -15*f**5 + 350*f**4 + 69240*f**3 - 3014880*f**2 + 25013120*f = 0. What is f? -76, 0, 34/3, 44 Factor r**3/5 - 769*r**2 + 4096928*r/5 - 748569856/5. (r - 1808)**2*(r - 229)/5 Suppose 21*q**5 - 11385*q**4/2 - 10689*q**3/2 + 11016*q**2 = 0. What is q? -27/14, 0, 1, 272 Determine q so that -5*q**2 + 251320*q + 39327600 = 0. -156, 50420 Solve z**3 - 1101187*z**2 - 6607165*z + 7708351 = 0 for z. -7, 1, 1101193 Determine h, given that 4*h**4 - 3197736*h**3 + 639097918080*h**2 - 1278183045248*h = 0. 0, 2, 399716 Let t**4/3 - 310*t**3/3 + 17507*t**2/3 - 258710*t/3 + 352352 = 0. What is t? 7, 13, 48, 242 Suppose 5*z**3 - 31562980*z**2 + 49811085324020*z = 0. What is z? 0, 3156298 Find x such that -x**5/7 + 72*x**4/7 + 883*x**3/7 - 40538*x**2/7 - 258816*x/7 - 349600/7 = 0. -23, -4, -2, 25, 76 Determine g, given that -262*g**4/5 - 41558*g**3 - 42327578*g**2/5 - 444478634*g/5 - 40360584/5 = 0. -391, -11, -12/131 Suppose 3*q**4 - 35988*q**3 - 3837264*q**2 - 135073584*q - 1572775920 = 0. What is q? -38, -30, 12102 Suppose -2*w**5/9 + 3686*w**4/9 - 702428*w**3/9 - 709804*w**2/9 + 702430*w/9 + 706118/9 = 0. Calculate w. -1, 1, 217,
{ "pile_set_name": "DM Mathematics" }
1, u: 7, a: 2, i: 1, b: 1}? 1/12012 What is prob of sequence wj when two letters picked without replacement from {j: 1, d: 1, v: 1, b: 1, w: 2, e: 1}? 1/21 Three letters picked without replacement from sissubssiuuusbuab. Give prob of sequence bba. 1/680 What is prob of sequence gwk when three letters picked without replacement from kkigigkgwggkiiigggii? 4/855 Two letters picked without replacement from krrrrrkkrrr. Give prob of sequence kk. 3/55 Calculate prob of sequence tzal when four letters picked without replacement from gzzagagxztzlgaa. 2/4095 Four letters picked without replacement from {d: 2, v: 6, w: 3, f: 2}. Give prob of sequence ddfv. 1/715 Four letters picked without replacement from nsnssdsssbds. What is prob of sequence ssns? 7/198 Calculate prob of sequence jjj when three letters picked without replacement from {o: 4, w: 2, j: 3}. 1/84 What is prob of sequence ij when two letters picked without replacement from ijjj? 1/4 Four letters picked without replacement from {g: 2, s: 4, z: 6, m: 3, n: 2}. What is prob of sequence zmsz? 3/476 Four letters picked without replacement from {v: 8, q: 2}. What is prob of sequence qvvq? 1/45 Two letters picked without replacement from rrsprssps. What is prob of sequence rr? 1/12 What is prob of sequence wnlb when four letters picked without replacement from {e: 1, w: 1, n: 2, l: 5, k: 1, b: 6}? 1/728 Four letters picked without replacement from {m: 2, b: 12, p: 1, j: 1, d: 2}. What is prob of sequence mbmb? 11/3060 Four letters picked without replacement from {m: 1, j: 2, u: 2, y: 2, d: 1}. What is prob of sequence juud? 1/420 Calculate prob of sequence gggg when four letters picked without replacement from mgggmmmmgm. 1/210 Calculate prob of sequence aa when two letters picked without replacement from aaaaa. 1 Three letters picked without replacement from {i: 3, t: 5, k: 3, f: 1}. What is prob of sequence kti? 3/88 Calculate prob of sequence zwkw when four letters picked without replacement from koowzowooaoqqwa. 1/5460 Calculate prob of sequence bfff when four letters picked without replacement from {f: 4, y: 1, b: 6}. 1/55 Four letters picked without replacement from itnidiidnnikiin. Give prob of sequence ikdt. 1/2340 Four letters picked without replacement from {h: 1, u: 3, w: 5, g: 1, r: 2, c: 3}. What is prob of sequence huru? 1/2730 Two letters picked without replacement from {z: 13, k: 5, d: 2}. Give prob of sequence zd. 13/190 What is prob of sequence un when two letters picked without replacement from {u: 3, h: 5, n: 3}? 9/110 Three letters picked without replacement from vguvm. Give prob of sequence muv. 1/30 Four letters picked without replacement from {x: 10}. What is prob of sequence xxxx? 1 Three letters picked without replacement from {c: 1, k: 2}. Give prob of sequence kck. 1/3 What is prob of sequence fp when two letters picked without replacement from opfooqq? 1/42 Three letters picked without replacement from isbddrbbbsdbdidbd. Give prob of sequence bdd. 3/68 Two letters picked without replacement from {r: 2, d: 2, z: 1, u: 1}. Give prob of sequence zd. 1/15 Two letters picked without replacement from ozojfz. What is prob of sequence fz? 1/15 Two letters picked without replacement from {c: 1, z: 1, o: 1, n: 2, f: 1, p: 1}. What is prob of sequence cz? 1/42 Calculate prob of sequence fbf when three letters picked without replacement from {f: 2, b: 10}. 1/66 Three letters picked without replacement from {y: 2, n: 4}. What is prob of sequence yny? 1/15 What is prob of sequence ec when two letters picked without replacement from {p: 2, c: 4, e: 1}? 2/21 Calculate prob of sequence lld when three letters picked without replacement from {l: 3, d: 1}. 1/4 Three letters picked without replacement from lrlvkkfrkffvfk. What is prob of sequence flv? 2/273 What is prob of sequence ii when two letters picked without replacement from {q: 8, i: 4, v: 2, u: 2}? 1/20 Four letters picked without replacement from qcimcqd. Give prob of sequence cmqq. 1/210 Calculate prob of sequence mm when two letters picked without replacement from {m: 9, j: 7, i: 2}. 4/17 Three letters picked without replacement from {z: 1, w: 2, d: 2, i: 1}. What is prob of sequence wzd? 1/30 Two letters picked without replacement from plplllllplp. Give prob of sequence pp. 6/55 Calculate prob of sequence qww when three letters picked without replacement from {w: 4, q: 3}. 6/35 What is prob of sequence gg when two letters picked without replacement from {l: 2, q: 5, g: 12}? 22/57 Three letters picked without replacement from {v: 8, a: 5, h: 1, d: 4}. What is prob of sequence vva? 35/612 Two letters picked without replacement from yyyyyyyyyayy. What is prob of sequence yy? 5/6 Calculate prob of sequence wgww when four letters picked without replacement from {w: 6, g: 13}. 65/3876 Two letters picked without replacement from {m: 5, r: 2, b: 2, s: 6, l: 1}. What is prob of sequence sl? 1/40 Four letters picked without replacement from hmsghjmphhmjgs. What is prob of sequence jjss? 1/6006 Two letters picked without replacement from {c: 2, s: 3, a: 3}. What is prob of sequence cc? 1/28 What is prob of sequence vgrf when four letters picked without replacement from gekrkgvkgkgkgggff? 1/4080 Calculate prob of sequence lbqf when four letters picked without replacement from pqfqqlpfqb. 1/630 Two letters picked without replacement from {f: 1, p: 3, k: 1, g: 6, m: 3, l: 5}. Give prob of sequence fk. 1/342 Calculate prob of sequence bbbb when four letters picked without replacement from {r: 3, b: 4}. 1/35 Two letters picked without replacement from {i: 3, d: 4, e: 3, m: 2, p: 6}. Give prob of sequence me. 1/51 Four letters picked without replacement from {t: 7, z: 2, n: 2}. Give prob of sequence zznt. 7/1980 Calculate prob of sequence ggss when four letters picked without replacement from {s: 3, g: 12}. 11/455 Three letters picked without replacement from ffqqq. Give prob of sequence fqf. 1/10 Calculate prob of sequence ppu when three letters picked without replacement from {p: 3, u: 3, k: 1, r: 2, w: 1, t: 1}. 1/55 Three letters picked without replacement from bxixbipn. Give prob of sequence bbn. 1/168 What is prob of sequence cvw when three letters picked without replacement from {g: 8, c: 2, v: 1, o: 1, w: 2, p: 6}? 1/1710 Calculate prob of sequence mk when two letters picked without replacement from gkkmkqmkkkkq. 7/66 Two letters picked without replacement from hivghyi. Give prob of sequence vh. 1/21 What is prob of sequence lk when two letters picked without replacement from llllloklllllllllllll? 9/190 Calculate prob of sequence pqpp when four letters picked without replacement from pppppppqq. 5/36 Three letters picked without replacement from {t: 1, x: 1, g: 2, e: 5, z: 4, l: 2}. What is prob of sequence gtg? 1/1365 What is prob of sequence yy when two letters picked without replacement from {r: 3, y: 8}? 28/55 Two letters picked without replacement from {c: 2, d: 1, a: 1, r: 2, z: 2}. What is prob of sequence rd? 1/28 Calculate prob of sequence tcc when three letters picked without replacement from {t: 2, n: 3, c: 6, m: 8}. 10/969 Calculate prob of sequence klkl when four letters picked without replacement from lkllkbbklbbbbbk. 2/455 Three letters picked without replacement from {j: 1, x: 1, r: 9, f: 4}. Give prob of sequence fjf. 2/455 Two letters picked without replacement from wyyyyyzzwywwwyyy. What is prob of sequence ww? 1/12 Four letters picked without replacement from {h: 3, z: 1}. What is prob of sequence hhzh? 1/4 What is prob of sequence tiim when four letters picked without replacement from idmittiwndtddnd? 1/1820 Calculate prob of sequence aby when three letters picked without replacement from {h: 1, q: 2, a: 2, b: 3, l: 3, y: 1}. 1/220 Calculate prob of sequence aj when two letters picked without replacement from jbaaabgbaassasasg. 7/272 Two letters picked without replacement from {z: 1, j: 1, d: 1, a: 1, n: 2, t: 2}. Give prob of sequence az. 1/56 Three letters picked without replacement from {l: 4, e: 6, y: 7}. What is prob of sequence lle? 3/170 Four letters picked without replacement from itcccitwcccj. What is prob of sequence cwcj? 1/396 What is prob of sequence el when two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
k(5). Let u(m) = 4*m**2 - m - 2. Let j(n) = n**2 + n - 1. Determine r*j(f) - u(f). -2*f**2 + 3*f Let k(p) = 7*p - 2222. Let t(d) = -6*d + 2243. Give 8*k(z) + 9*t(z). 2*z + 2411 Let p(n) = 4*n**3 + 13*n**2 - 18*n + 111. Let t(r) = -r + 37. Calculate -p(a) + 3*t(a). -4*a**3 - 13*a**2 + 15*a Let o(k) = -2*k + 47. Let n(w) = 2*w**2 + 10*w - 7612. What is -n(h) - 5*o(h)? -2*h**2 + 7377 Let s(p) = -32*p + 5820. Let t(a) = 9*a - 1941. Determine 2*s(h) + 7*t(h). -h - 1947 Let j(f) = -103*f**2 - 134*f - 29. Let o(a) = -10*a**2 - 13*a - 3. Let b(z) = -2*j(z) + 21*o(z). Let y(v) = -4*v**2 - 6*v - 6. Give 6*b(d) - 5*y(d). -4*d**2 Let z(w) = 30*w - 51. Let k be z(9). Let a = 224 - k. Let v(q) = 5*q**2 + 7*q + 7. Let m(n) = -4*n**2 - 6*n - 6. Let p be 1*(-2)/1 - -8. Give a*v(h) + p*m(h). h**2 - h - 1 Let n(j) = 3*j - 4*j + 3 - 3*j + 3*j. Let b(c) = 2*c - 10. Suppose -5*v = -5*x - 45, 4*v + 1904*x = 1905*x. Give v*b(u) - 10*n(u). 4*u Let x(r) = -2*r**3 + 4*r**2 - 5*r - 6. Let k(o) = 72*o + 653. Let w be k(-9). Let n(p) = -2*p**3 + 5*p**2 - 6*p - 7. Determine w*x(a) - 4*n(a). -2*a**3 - a - 2 Let f(w) = 88*w**3 + 4*w**2 + 13*w + 5. Let v(z) = -353*z**3 - 17*z**2 - 59*z - 23. What is 9*f(b) + 2*v(b)? 86*b**3 + 2*b**2 - b - 1 Let i(y) = -y + 1. Let v(x) = 11*x + 9. Let g(q) = 5*q + 4. Let d(k) = -9*g(k) + 4*v(k). Let a be (75 - 73)/(1/((-6)/(-6))). Calculate a*i(b) + d(b). -3*b + 2 Let a(v) = -v**3 + 2*v**2 + 1. Let m(h) = 4*h**2 - 754*h + 1. What is 2*a(f) - m(f)? -2*f**3 + 754*f + 1 Let j(s) = 4*s**2 - 3*s. Let u = 17204 + -17212. Let a(k) be the first derivative of -4*k**3 + 4*k**2 + 1. Determine u*j(z) - 3*a(z). 4*z**2 Let c(w) be the second derivative of 1/6*w**3 + 0 - 2*w**2 - 35*w. Let q(n) = 3*n - 15. What is -15*c(h) + 4*q(h)? -3*h Let y(h) = 2*h**2 - 23*h - 4. Let s(d) = -d**3 - 3*d**2 + 21*d + 4. Calculate -2*s(u) - 3*y(u). 2*u**3 + 27*u + 4 Let v(g) = -2*g**3 - 19*g**2 - 8*g - 1182. Let i(k) = -k**3 - 7*k**2 - 3*k - 394. Calculate 8*i(h) - 3*v(h). -2*h**3 + h**2 + 394 Let p(w) = -w**2 - w + 14. Let a be p(0). Let h(c) = c**2 + c - 1. Let b(s) = -6*s**2 - s - 8*s + 2*s - 801 + 808. What is a*h(t) + 2*b(t)? 2*t**2 Let d(q) = -5261*q + 42. Let w(i) = 5260*i - 49. What is -7*d(s) - 6*w(s)? 5267*s Let y be (3/1)/((-4)/(-4)). Suppose y*k - 4*k - 4 = 0. Let g(i) = -i + 1. Let a(p) = 6*p - 4. Suppose -4*n - 4 + 0 = 0. Determine k*g(q) + n*a(q). -2*q Suppose 4*c = 13*c. Suppose 0*p + 3*p - 9 = c. Suppose -5*y = p*u - 32, 5*y + 4*u = 2*u + 28. Let q(o) = o**2 - 6*o + 1. Let v(j) = j. Determine y*v(h) + q(h). h**2 - 2*h + 1 Let w(n) be the first derivative of -n**5/120 - n**3 + 3. Let t(q) be the third derivative of w(q). Let o(a) = 3*a - 535 + 254 + 282. Give -o(g) - 5*t(g). 2*g - 1 Let k(f) = -39*f**2 + 3*f. Let y(v) = 20*v**2 - 91*v**2 + 33*v**2 + 2*v. Determine 2*k(d) - 3*y(d). 36*d**2 Suppose -4*b + 3*v = -6, -4*b - 44 = v - 58. Let l(i) = i**2 + 3*i - 7. Let w(f) = f**2 + 2*f - 4. Determine b*l(y) - 5*w(y). -2*y**2 - y - 1 Let m(f) = -744*f**2 - 31*f - 26. Let w(p) = 745*p**2 + 35*p + 29. What is 9*m(r) + 8*w(r)? -736*r**2 + r - 2 Let c(n) = 23*n**3 - 112*n**2 + 14*n - 3. Let h(b) = 17*b**3 - 84*b**2 + 10*b - 2. Calculate 8*c(u) - 11*h(u). -3*u**3 + 28*u**2 + 2*u - 2 Let h(l) = 5*l + 12. Let w(b) = -14*b - 36. Suppose -4881*j = -4861*j - 80. Determine j*w(v) + 11*h(v). -v - 12 Let v(i) = -1 + 14*i + 2*i**3 - 13*i - 2*i + 2 - i**3. Let s(c) = -7*c**3 + c - 3. Give s(u) + 3*v(u). -4*u**3 - 2*u Let x(t) = -7*t - 5. Let a(m) be the first derivative of 2*m**2 + 3*m + 257. Let p(c) = -2*c**2 + 8*c - 3. Let d be p(4). Calculate d*x(b) - 5*a(b). b Let c = 425 + -296. Let r(s) = c + 138 - 264. Let w(t) = -1. Let y(a) = r(a) + 2*w(a). Let z(p) = p**2. Give y(v) + 3*z(v). 3*v**2 + 1 Let z = -5189 + 5178. Let d(b) = 6*b**3 + 3*b**2 - b. Let l(k) = -17*k**3 - 10*k**2 + 3*k. Calculate z*d(o) - 4*l(o). 2*o**3 + 7*o**2 - o Let f(i) = -493*i**2 + 22*i**3 - 1187*i + 694*i + 2849*i**3. Let s(l) = 35*l**3 - 6*l**2 - 6*l. Calculate -6*f(m) + 493*s(m). 29*m**3 Suppose -6*p = -81 + 51. Let q(y) = 2002*y**2 - 2002*y**2 + 2*y + 1 - p*y**3. Let s(r) = 1. Calculate -q(a) + s(a). 5*a**3 - 2*a Suppose s - 3*s = -2. Let r(b) = -1. Let k(z) = z**2 + z + 1. Let v be k(0). Let h(d) = -11 - 5 - d - d + 18. Give s*r(m) + v*h(m). -2*m + 1 Let k(n) = 410*n - 387. Let r(x) = -137*x + 141. What is -4*k(v) - 11*r(v)? -133*v - 3 Let j(n) = -n**2 + n - 83474 - 83477 - n + 166952 + n**3. Let f(q) = 2*q**3 - 3*q**2 + 5*q + 1. Give -f(p) + 3*j(p). p**3 - 5*p + 2 Let y(o) = -2*o + 1. Suppose 3*l - 10 = -5*i, l + 3*i = 2*l + 20. Suppose 0 = m - 125 - 222. Let w(f) = m*f - 681*f - 1 + 338*f. What is l*y(k) - 2*w(k)? 2*k - 3 Let h(t) = 3*t - 2*t + 6 + 4*t - 14*t + 13*t. Let d(i) = 5*i + 6. Give 3*d(x) - 4*h(x). -x - 6 Let a(d) = -11*d**2 + 26*d. Let q(w) = -5*w**2 + 13*w. Suppose -100 + 38 = -5*x + o, 3*o + 4 = x. Determine x*q(p) - 6*a(p). p**2 + 13*p Let m(r) = -3*r**3 + 202*r**2 - 6*r - 36. Let z(h) = -7*h**3 + 405*h**2 - 13*h - 78. Give 13*m(c) - 6*z(c). 3*c**3 + 196*c**2 Let y(a) = -a**2 + a. Let g(m) = -28*m**2 + 63*m + 8. Let b(j) = 10*j**2 - 23*j - 3. Let r(s) = -11*b(s) - 4*g(s). Calculate -2*r(h) - 6*y(h). 2*h**2 - 8*h - 2 Let g(y) = 5*y - 1. Let r(h) = -h**3 - h - 1. Suppose -5*b - 10 = -5*c + 30, 2*c - 4*b = 30. Determine c*r(u) + g(u). -u**3 + 4*u - 2 Let i(m) = -m**2 - 4*m - 198. Let g(w) = w**2 + 5*w + 199. What is 5*g(k) + 6*i(k)? -k**2 + k - 193 Let s(l) = 52*l**2 - 25124*l. Let b(a) = 10*a**2 - 5026*a. Calculate -21*b(w) + 4*s(w). -2*w**2 + 5050*w Let s(u) = -7*u + u + 8 + 0*u + 4*u. Let c(l) = 42 - 20 - 19 - l. Give 8*c(x) - 3*s(x). -2*x Let d(m) = 8*m**3 + 659*m**2 - m - 3. Let w(l) = -4*l**3 - 329*l**2 + l + 1. Give 3*d(u) + 7*w(u). -4*u**3 - 326*u**2 + 4*u - 2 Let l(c) = 9*c**3 - 2*c**2 - 11*c - 54. Let w(t) = -t + 9. What is -l(k) - 6*w(k)? -9*k**3 + 2*k**2 + 17*k Let r(p) = 1261*p**2 + 56*p + 1. Let d(l) = -631*l**2 - 24*l. Give 7*d(t) + 3*r(t). -634*t**2 + 3 Let b(f) = 0*f**3 + f + 757 - 387 + f**3 - 369 - f**2. Let o(a) = -2*a**3 + a**2 - a. Calculate -5*b(i) - 5*o(i). 5*i**3 - 5 Let j(k) = 12*k**3 - 11*k**2 + 10*k. Let m = -413 + 412. Let f be 1 - 1 - -2*(-2 - m). Let v(x) = x**3 - x**2 + x. What is f*j(o) + 22*v(o)? -2*o**3 + 2*o Let v(f) = 6*f - 2. Let q(b) = -2*b - 2. Calculate -3*q(t) + 2*v(t). 18*t + 2 Let g(c) = -c**2 - 3. Let w(p) = 14*p**2 - 52*p - 4. Let i(r) = 25*r**2 - 91*r - 6. Let a(d) = 4*i(d) - 7*w(d). What is -5*a(v) - 6*g(v)? -4*v**2 - 2 Let g(p) = -16*p**2 + 6*p - 2. Let a(s) = 15*s**2 - 5*s. Calculate -6*a(q) - 5*g(q). -10*q**2 + 10 Let v(j) = -57*j - 10. Let b(d) = -71*d - 11. Calculate 5*b(h) - 6*v(h). -13*h + 5 Let w(m) = -m**3 - 3*m**2 - 4*m + 5. Let h be -5 + 25/(8 - 3). Let b be w(h). Let k(i) = -4*i - 8. Let v(g) = g + 1. What is b*v(o) + k(o)? o - 3 Let x(s) = s**3 - 5*s**2 + 4*s - 6. Let f(r) = -3*r + 5*r + r**3 - 8 + 5 - 2*r**2. Let i = -8241 + 8236. Give i*f(j) + 2*x(j). -3*j**3 - 2*j + 3 Let l(y) be the second derivative of -5*y**3/2 - 5*y**2 - 4*y - 108. Let b(p) = -8*p - 5. Determine -7*b(m) + 4*l(m). -4*m - 5 Let w(i) = -446*i + 1 - 445*i - 454*i + 1344*i. Let g(a) = 6. What is g(c) - 6*w(c)? 6*c Let x(v) = -404*v**2 + v + 7. Let q(z) = z**2 - 4. Calculate 2*q(k) + x(k). -402*k**2 + k - 1 Let h(d) be the second derivative of 19*d**4/12 + d**3/3 + d**2 - 354*d - 4. Let l(j) = 56*j**2 + 7*j + 7. What is -7*h(f) + 2*l(f)? -21*f**2 Let l(w) = -5*w**3 - 2*w**2 + 6*w + 5. Let g(v) = -5*v**3 - 2*v**2 + 4*v + 4. Give -5*g(p) + 4*l(p). 5*p**3 + 2*p**2 + 4*p Suppose -23 = a - 3*s, -6*s = a - 5*s - 9. Let y(n) = -n**2 + 9*n - 2. Let d(f) = -f + 1. Give a*y(j) + 3*d(j). -j**2 + 6*j + 1 Let d(i) = -49*i**2 - 581*i - 14. Let a(o) = 10*o**2 + 116*o + 3. Give 14*a(x) + 3*d(x). -7*x**2 - 119*x Let p(t) = -871*t**2 - 117*t - 117. Let d(l) = -36*l**2 - 4*l + 6*l**2 + 347 - 351. Give -117*d(a) + 4*p(a). 26*a**2 Let j(o) = 14*o**3 - 4*o - 4. Let x(n) = 195*n**3 - 55*n - 55. Let z be (-438)/111 - (-10)/(-185). Calculate z*x(a) + 55*j(a). -10*a**3 Let c(q) = 5*q**3 + 11*q**2 + 74*q + 39. Let d(j) = -4*j**3 - 8*j**2 - 54*j - 29. Calculate 8*c(b) + 11*d(b). -4*b**3 - 2*b - 7 Let s(h) = 111*h**2 - 33*h. Let t(m) = -7*m**2 + 2*m. Let q be (55/33)/(3 + 39/(-18)). Wh
{ "pile_set_name": "DM Mathematics" }
/11)/((-2)/8). Suppose 5*w = -l*d - 22, d + 18 = -3*d - 3*w. Which is smaller: -4 or d? -4 Let q = 6 + 14. Let a = q + -19.9. Let t be (-2)/1 + (-198)/(-72). Is a at least as big as t? False Suppose 6*o = 4*o + 38. Suppose 6*p = -1 + o. Which is smaller: p or 4? p Let t be (-4)/(-10) - (-4)/(-10). Let n be 1008/175 + 12*3/(-6). Which is bigger: t or n? t Let l = -277 - -278. Which is smaller: l or -1/624? -1/624 Suppose -10 = 6*g - 16. Which is bigger: 1/59 or g? g Let o be 0 + 1 + (-7)/5. Let v = 43.924 + -44. Let k = -7.924 + v. Is o not equal to k? True Let z(v) = 6*v**2 + 103*v + 22. Let a be z(-17). Is 164/31 at least a? True Let k(u) = -u**2 - 7*u + 7. Let f be k(-8). Let b be (-19)/(-105) - (-18)/(-189). Are f and b equal? False Let l = 5 - 5.1. Let x = 3.96 - 4. Let v = x - -0.03. Is v at least l? True Suppose 0*n - 1 = -i - 4*n, 0 = -i - n - 2. Let b be (-2)/(-8)*(i/(-1) + 67). Which is bigger: 17 or b? b Suppose 5*s = 5*j + 5, 6 + 1 = 5*j - 2*s. Let y = -106.8 + 112.8. Is j bigger than y? False Suppose -c - 1 = 14. Let o = c + 25. Let r be (1 + -6)*8/o. Is -5 at least as big as r? False Let d = -135.25 + 136. Let k = -1.75 + d. Let g = -12/107 + -58/1391. Which is smaller: k or g? k Let s = 32 + -24. Let m = s - 8.9. Is 2 at least as big as m? True Let g = -108469/43 - -2523. Let w = 782/387 - g. Is w at most as big as 3? True Let j(h) = -h**3 - 13*h**2 + 3*h + 15. Let u be j(-13). Let m = -25 - u. Let v = -6 + m. Which is smaller: -28/5 or v? v Let p be -883*(1/13)/1. Let g(i) = -i**3 - 20*i**2 - 17*i - 30. Let u be g(-19). Let o = u - p. Which is bigger: o or -1? o Suppose v + 2*v = 15. Suppose v*y + 3 = 8. Let s be (-1 - 0) + 7 + y. Which is bigger: s or 8? 8 Let n be (15/(-2))/((-215)/516). Which is smaller: 11 or n? 11 Let v = 39.1 - -1.9. Let q = v + -40.9. Is q greater than -5? True Let t = 142.89 - 2.89. Let l = t + -141. Which is greater: -1/17 or l? -1/17 Let y be (-3)/((-45)/230)*3*-1. Let b = y + 46. Which is greater: -4/19 or b? b Let v = -173 + 109. Let m = 63.97 + v. Do m and 1 have the same value? False Let o(u) be the second derivative of -u**5/20 - 5*u**4/4 - 19*u**3/3 - 17*u**2/2 - 12*u. Let h be o(-12). Is 4 equal to h? False Let i = -7 + 3. Let t be i/(-5) - 374/5. Let g = t + 372/5. Which is greater: -1 or g? g Let s = -92 - -210. Let y be 18/(-6) - s/(-40). Let k be (2 - 1)/1 + -1. Is k at most as big as y? False Let k be (-14)/37 - 0/9. Which is smaller: k or 1/2? k Let c = 71.01 + -68.2. Let u = c - 0.21. Let o = -2.5 + u. Are o and -1/3 non-equal? True Let a be 420/1368 - 3/9. Suppose -3*r + 0*n - n + 3 = 0, 2*n - 6 = 5*r. Is r >= a? True Let n be (-4 - -42)*5/(-5*2). Let c be -7*(-6)/(-2) - -2. Is n < c? False Let y(o) be the second derivative of o**4/12 + 7*o**3/6 + 10*o. Let m be y(-7). Suppose 0 = 4*g + 1 - 5. Does g = m? False Let t = -46 + 47. Which is smaller: t or 34/15? t Let t = 59/12 - 14/3. Suppose 11*s - 240 = s. Let b be (3/(-30))/((s/(-15))/(-4)). Which is greater: b or t? t Let b(q) = -3*q**2 + 2*q + 2. Suppose 4*y + 28 = -2*w + 6*w, 2*w + 1 = -y. Let n be b(w). Let m be ((-1)/5)/(3/n). Which is smaller: 2/7 or m? 2/7 Let q = -0.2 + 72.2. Let h = -72.4 + q. Is 1/6 greater than h? True Suppose 0 = -o - 3*o + 2*v - 1620, -3*o - 1208 = -5*v. Which is greater: o or 2/3? 2/3 Suppose 0 = -4*s - 3*s + 49. Let t be (39/210)/(-13) - 2/s. Which is smaller: 0 or t? t Let c = -1/330 - 71/3795. Let k = 79/598 - c. Let b(l) = l**3 + 17*l**2 + 2*l + 33. Let t be b(-17). Is t smaller than k? True Suppose 3*l - 4*r - 161 - 731 = 0, 2*r + 896 = 3*l. Is l > 302? False Suppose -12*g = -16*g + 4*x - 4, -5*g - 1 = -3*x. Which is greater: -116/9 or g? g Let i = 55 + -22. Let w = -32 + i. Let t = w + -0.86. Is t <= 1? True Suppose 3*z + 35 = -5*j - 2*z, -2*j - 5*z = 26. Let g = -5 - j. Let h be -1 - -4*(-8)/(-64). Which is smaller: h or g? g Let z = -462.8 + 463. Which is smaller: z or -4.8? -4.8 Let s(t) = t**2 + t - 3. Let y = 4 + -7. Let k be s(y). Let o be 3/(-1*(0 - k)). Are o and 1 equal? True Let w be 1/((-3)/(-6))*-30. Let p = w + 21. Is p < -39? False Let z(l) = 3*l**3 - 5*l**2 + 2*l + 2. Let b be z(4). Suppose 5*x - 13 - b = 0. Let y be 22/(-18) - (-6)/x. Is -2 greater than or equal to y? False Suppose q = -q - 12. Let g(t) = -t**3 - 7*t**2 - 4*t + 6. Let v be g(q). Which is smaller: -11/2 or v? v Suppose -7 = -4*f - 23. Let m = f + 3. Let s = 2/35 - 1/5. Which is greater: m or s? s Suppose 4*g + 5*z - 11 - 4 = 0, -5*g = -4*z + 12. Let t = 108687/253 + -7586/11. Let w = t + 260. Which is greater: g or w? g Suppose 575 = -c - 5*w, -13*c + 8*c + 4*w = 2991. Are -595 and c equal? True Suppose 0 = 3*m - 9 + 9. Is m less than or equal to -22/17? False Let b(s) = -s**3 - s**2 + 2*s - 6. Let n be b(-4). Is n smaller than 37? True Let s(q) = 2*q + 4. Let u be s(13). Let l = -155 - -186. Which is greater: l or u? l Let u = -26 - -22. Which is greater: -1/3 or u? -1/3 Let z = -2.128 + 92.028. Let s = z - 90. Does s = -1? False Suppose -20*h = 2*v - 17*h - 18, -4 = -v + h. Suppose 2 + 4 = 3*u + 3*c, 4*c = -2*u - 4. Are v and u nonequal? False Let h = -29 - -25. Let d(i) = -i + 3. Let c be d(3). Suppose -2*o = -4*u - 24, -4 = -c*o - o. Is u at least as big as h? True Suppose 0 = 2*a + 31 + 9. Let n be (-1)/((-1)/a*4). Let l be (n/(-2))/(7/(-14)). Is l equal to -5? True Let i be 18/(-21)*(0 + 175/(-4)). Which is greater: i or 37? i Suppose 1406 + 2066 = -31*x. Is x greater than -107? False Let l = -0.01 + -1.49. Let g = l + 1.3. Let f be ((-5)/(-40))/(2/4). Is g >= f? False Let a = -178/43 - 1776/215. Let q = -88 + 77. Is q <= a? False Let d = 0.7 - 0.7. Suppose 0 = -3*b + b. Let i(y) = y**3 - y**2 + y + 3. Let k be i(b). Is k at most d? False Let q = -11951 + 59944/5. Let t = q - 265/7. Is -2 != t? True Suppose -2*k - 4 + 0 = 0. Suppose 5 = j + 4*r - 1, 5*j - 7 = 3*r. Suppose j*m + 10 = -4*a + 4*m, -2 = -4*a - 2*m. Is k at most a? True Let q(y) = -y**2 + 24*y - 6. Let n be q(20). Let v = n - 54. Is 21 less than v? False Let m(z) = -z. Let o be m(-2). Let a(k) = k**2 - 25*k + 82. Let l be a(20). Is l at least o? False Let u(b) = -24*b + 123. Let n be u(6). Which is smaller: 5 or n? n Let l = -197 + 196. Is -7/16 at least l? True Let t = 10246 + -317659/31. Which is smaller: -2 or t? -2 Let b be 2/3 + (-3)/(18/1028). Let c = b + 165. Is c equal to -5? False Let u = 158 - 63. Which is smaller: -1/3 or u? -1/3 Let t = -35471/23 - -1543. Let l = 7/138 + t. Suppose y + 2 = 0, 4*p - 5 = 5*y + 9. Is l greater than p? False Suppose -2*s = 5*s. Suppose -4*h - 15 = -s*h + 3*q, 3*h + q = -5. Is -5/13 at most as big as h? True Let v be (-424)/(-12) + 4/6. Suppose -55*b = -83*b + 952. Which is smaller: v or b? b Suppose -2*p = -5*o - 15, 0 = -2*p - 9*o + 5*o - 12. Let g be 1 + p + -1 + -53. Is g equal to -53? True Suppose -2*r + 12 = 2*m - 5*r, -4*r = 2*m - 40. Let c = m - 52. Does c = -40? True Let f = -859.364 - 0.636. Which is smaller: 0 or f? f Let x(a) = -a**3 - 5*a**2 - a + 7. Let r be x(-4). Let p be (-4)/26 + r/26*-6. Let q be (-1)/3*(-2)/(-26). Which is bigger: p or q? p Let j be (-1 + 3)*10/(-4). Let c = -22 - -7. Let h be 12*(c/6 - -2). Which is bigger: j or h? j Let v = -278 - -836/3. Which is greater: -151 or v? v Let x = -36 - -93. Let f = 57 - x. Is f bigger than -10/27? True Let l be (0 - 4) + ((-135)/(-35))/1. Is 1.4 at least l? True Suppose -3*r + 4*r - p + 5 = 0, -3*p = 5*r - 15. Which is greater: 3/13 or r? 3/13 Let r = 2 - 7. Let o be (-11)/(111/r + 1). Let x = o + -1/53. Which is bigger: 3/2 or x? 3/2 Let v be (18/(-96))/(-3*(-4)/48). Do v and -55.8 have the same value? False Let n be ((-9)/4 - -2)*(-1068)/(-9). Which is greater: 0.2 or n? 0.2 Let u be 10/4*(0 + 2). Suppose -4*v + 1 = -u*v. Let a = 322 - 1289/4. Which is greater: a or v? a Let z(d) = -88*d - 14. Let c be z(1). Are -103 and c nonequal? True Suppose 4*d - 14*d = -4*d + 6. Let h = -13 - 4. Which is bigger: d or h? d Suppose 0 = 7*n - 8*n - 4. Let u be (-1)/(n/(-6) + 2/(-6)). Is -4 at least u? False Let j be 3/(-6)*-6*(-10)/(-30). Is j at most as big as 4/75? False Let f(b) = -b**3 + 9*b**2 - 13*b + 21. Let q be f(13). Is q greater than or equal to -822? False Let a = -186 - -172. Suppose d = 2*d + 3, -v = 2*d. Suppose v*p - 3*p = -39. Which
{ "pile_set_name": "DM Mathematics" }
Let a(x) be the second derivative of -x**5/5 + x**4/3 - x**3 - 5*x**2 + 5*x. Let y(b) = -6*a(b) - 5*i(b). Give y(0). 5 Let x = -1 + 3. Let f be -2*(-1 + (-4 - -4)). Let s(u) = -1 - 4*u**3 + 7*u**3 + 5*u**f - 4*u**x. Calculate s(1). 3 Let g(c) = c**3 - c**2 + 8*c**2 - 2*c**2 - 4 - 2*c. Let q(y) = -y**3 - 34*y**2 + 73*y + 31. Let i be q(-36). What is g(i)? 6 Let t(n) = 2*n**3 + 3. Let u(c) = -4*c**3 + c**2 + c - 6. Let m(v) = -5*t(v) - 2*u(v). Let w be 11/(462/24) - 36/14. Give m(w). 9 Let k(z) = z + 3. Let y be k(-2). Let f(h) = h**2 - 9*h**2 - y + 0*h + 0*h**2 - h. Calculate f(-1). -8 Let q be (6/(-4))/((-3)/4). Suppose q*g + 0*g = 0, 2*w - 3*g - 6 = 0. Let k(l) = l**2 - 2*l - 1. What is k(w)? 2 Let y(k) = -k - 9. Suppose -3*g - 5*r = 7 + 6, -g + 2*r + 14 = 0. Let i(m) = 10*m**3 - m**2 + 1. Let o be i(-1). Let q = g + o. Give y(q). -3 Let d be ((-52)/130)/((-2)/20). Let w(f) = f**2 - f - 1. Calculate w(d). 11 Let p(s) = -s - 3. Let k be p(-8). Suppose -k*m - 4*g = -41, -3*m + 5*g = -7*m + 40. Let i(o) = -o**2 + 3*o. Determine i(m). -10 Let c(f) be the first derivative of f**4/4 - f**3/3 - 3*f**2/2 - f + 1. Suppose 0 = -4*d + 9 + 3. Determine c(d). 8 Let l = -96 - -96. Let r(y) = -y**2 - 25. Determine r(l). -25 Let g(f) = -f**2 + f - 3. Let q be g(0). Let k(c) = -2*c + 3. Let r(z) = -z + 1. Let t(l) = 4*k(l) - 11*r(l). What is t(q)? -8 Suppose 0 = -4*q + 16 - 4. Let n(a) = a - 3. Calculate n(q). 0 Let t(a) = 36*a**2 - a - 66*a**2 - 8*a + 8 + 31*a**2. Calculate t(8). 0 Let y = 43 + -36. Let b(p) = -p**2 + 8*p - 8. Determine b(y). -1 Let j = -2 + -1. Let z(p) = -3*p - 7. Let m(c) = -c - 1. Suppose 2*x - 5 = -1. Let v(t) = x*m(t) - z(t). Calculate v(j). 2 Let l(o) be the first derivative of -5*o**2/2 - 30. What is l(-1)? 5 Let m(y) = 2*y**2 - 3*y - 3. Suppose 3*b = 11 + 10. Suppose -v + 0*t - b = -t, 3*v - 4*t + 26 = 0. Determine m(v). 11 Let l be (-3)/2 + 18/4. Let v(x) be the second derivative of -3/2*x**2 - 1/3*x**l + 0 + x. Give v(-4). 5 Suppose -f - f = 0. Let r(z) = f - 7*z + 0*z**2 - 3*z**2 + 4 + 5*z**2. Give r(4). 8 Let o(g) = 5*g - 1. Suppose 0*y + 3*b = 3*y + 54, 0 = -5*y - 2*b - 76. Let t = 17 + y. What is o(t)? 4 Let v(o) = o - 2. Let t(s) be the third derivative of -s**4/12 - 7*s**3/6 - s**2. Suppose p - 4*g = g - 26, 0 = -5*g + 20. Let m be t(p). Determine v(m). 3 Let z(w) = -4*w. Let i(b) = 3*b - 7. Let q(g) = -4*g + 8. Let x(k) = -3*i(k) - 2*q(k). Let d be x(8). Give z(d). 12 Suppose -4*o + 4*z = 0, 0 = -3*o - 5*z + 32. Suppose -o = y - 2*h, 5*h - 3 = -5*y - 8. Let f(r) = r + 1. Give f(y). -1 Let y(r) = 2*r. Suppose 4*j + 1 = 5. Let a = 1 + j. Give y(a). 4 Let t = 3 - 10. Let d(g) = 2*g - 1. Let h(n) = -n**2 - 5*n + 2. Let i(m) = t*d(m) - 2*h(m). What is i(3)? 9 Let l(h) be the third derivative of h**6/120 + h**5/10 - 7*h**4/24 + 2*h**3/3 + 7*h**2. What is l(-7)? 4 Let s be 1/(3 - 8/3). Let d(c) = c**2 - 5*c**2 + 11*c**2 + c**s + 2*c + 4*c - 4. Suppose -2*g = -4*w - 28, 3*w + 13 + 3 = -g. Determine d(w). -4 Let c(o) = o**2 - o. Suppose -2*w - w = -6. Calculate c(w). 2 Let u = -23 - -32. Suppose -3*b = -i - u, 4*i - 6*i + 2*b - 6 = 0. Let v(z) = -z - 2. Calculate v(i). -2 Let q(v) = -56*v + 57*v + 1 - 3 - 6 + v**2. What is q(0)? -8 Let l(d) = -d + 11. Let x be l(4). Let o(q) = -x - 7*q**2 + 3 - 5*q + 8*q**2. Calculate o(3). -10 Let c(m) = 3*m**3 + 4*m**2 - 4*m + 2. Let w(g) = 4*g**3 + 4*g**2 - 4*g + 3. Let x(i) = -3*c(i) + 2*w(i). Determine x(-5). 5 Suppose 4*l = i - 7, 4*l - 2 = 6*l. Let a(n) = -4*n**2 + 4*n + 1. Determine a(i). -23 Let p(u) = -u**2 + 8*u - 7. Let v = 0 - 10. Let c be v*(1/(-2) - 0). Determine p(c). 8 Let s(t) = -t**2 - 5*t - 5. Let u = -13 + 16. Let g(l) = l**2 + 4*l + 4. Let r(d) = u*s(d) + 4*g(d). Give r(-3). 7 Let n(f) = f**3 - f**2 - 2*f + 1. Let r(y) = 5*y**3 - 4*y**2 - 9*y + 4. Let q(d) = -9*n(d) + 2*r(d). Suppose 0*u - 2 = 2*j - 2*u, 0 = -5*u - 5. What is q(j)? -5 Let c = 11 + 1. Let o(i) = 7 - c + 7 + 2*i**2 + 3*i - i**2. What is o(-2)? 0 Let n(l) be the first derivative of 3*l**2/2 - 4*l - 1. Let d be 0*(2/4)/(-1). Suppose d = -a + 1, t = 2*t - a - 3. Give n(t). 8 Suppose 3*h = -11 + 20. Let z(y) = y**2 + 3. What is z(h)? 12 Let s(t) be the third derivative of t**4/3 - t**3/2 + 3*t**2. Let c(u) = 9*u - 4. Let f(g) = 2*c(g) - 3*s(g). Calculate f(1). -5 Let f(s) be the second derivative of s**3/6 - 2*s**2 - 2*s. Suppose -a + 1 = v, 8*v - 3*v + 3*a - 3 = 0. What is f(v)? -4 Let j = 26 - 16. Let s(m) = -2*m + 16 - 5*m**3 - 17 - j*m**3. What is s(-1)? 16 Let y(k) = 9*k**2 + k + 14*k**2 + 1 - 12*k**2. Let h(z) = 12*z**2 + z + 1. Let t(q) = 2*h(q) - 3*y(q). Calculate t(-1). -9 Let g(v) = 4*v + 1. Suppose -2*k = 3*k - 15. What is g(k)? 13 Let u(m) = 75*m - 79*m - 4 + 1 + 4. Determine u(1). -3 Let p(q) = 1 + 4*q**2 - 7*q + 3*q**2 - q**3 + 4. Let x be p(6). Let i(o) be the first derivative of -o**2/2 + o + 5. Calculate i(x). 2 Let y(t) = t**2. Suppose 3*z = -6, -o = -0*o + 4*z + 5. Determine y(o). 9 Suppose 4*y - 30 = d, 0*y - d = 4*y - 34. Let r(m) = m**3 - 8*m**2 - m. What is r(y)? -8 Let u(d) = -6*d**3 + d. Let f be (-5 - -8) + 4 + -1. Let v be 2/(-8) + f/(-8). Give u(v). 5 Let v(l) = l**2 - 5*l + 1. Let a(b) = -9*b + 5. Let w(k) = -4*k + 2. Let i(s) = 3*a(s) - 7*w(s). Let f be i(4). Determine v(f). 1 Let j(y) = 9*y**2 - 17*y**2 + 9*y**2 - 1. Calculate j(2). 3 Let t(w) = 4*w + 7. Let u(q) = 13*q + 22. Let v(l) = -7*t(l) + 2*u(l). Let o(d) = -d - 3. Let n(p) = -7*o(p) + 4*v(p). Determine n(2). -1 Suppose 0 = 5*d - 4*w + 2, -5*d + 4 + 0 = -2*w. Let u(v) = -10 + 10 + 3*v - d*v. What is u(-1)? -1 Let x be 1*(7/(-28) + 7/(-4)). Let h(b) = b**3 + 4*b**2 + b. What is h(x)? 6 Let u be 3/(-9) - 14/(-6). Let j(b) be the first derivative of -b**2 + 3*b - 2. What is j(u)? -1 Suppose -2*h - 2 = -0*h - n, -3*h - 3*n - 12 = 0. Let b(z) = -z - 1. Let s(m) = -m - 7. Let d(c) = h*b(c) + s(c). Let w be 3 - ((3 - 2) + -2). Give d(w). -1 Let k be -2*2/(8/14). Let z(s) = -s**3 - 6*s**2 + 6*s - 6. Let r be z(k). Let g(t) = 0*t - t + 8 - 7. Give g(r). 0 Suppose -3*z = -6 - 12. Let g(j) = j**3 - 6*j**2 - j + 8. What is g(z)? 2 Let w(r) be the third derivative of -r**5/60 - 7*r**4/24 - r**3 + 14*r**2. Determine w(-7). -6 Let h(o) = -o**3 + o**2 + o - 1. Let j(x) = 32*x**3 - 2*x**2 - 3*x + 3. Let l(k) = -3*h(k) - j(k). Give l(1). -30 Suppose -5*l - 6 = -1. Let s(f) = 7*f + 3. Let m(j) = -j - 1. Let c(a) = a + 1. Let q(k) = -3*c(k) - 4*m(k). Let z(w) = 2*q(w) - s(w). Calculate z(l). 4 Let r(u) be the third derivative of -u**4/24 - 5*u**3/3 + 3*u**2. Let a be r(-6). Let i(k) = k - 3. What is i(a)? -7 Let f(i) be the first derivative of -3 + 0*i - 3*i**2 - 1/3*i**3. Calculate f(-6). 0 Suppose 7 = k - 0*k + 2*g, 4*g = -3*k + 23. Let m(n) = n**3 - 9*n**2 + 2*n - 9. Give m(k). 9 Let r = 4 + -2. Let t(s) = -5*s - 1. Let d(y) = -y. Let x be 4*2/(-2 - -4). Let a(z) = x*d(z) - t(z). Determine a(r). 3 Let r(h) = h**3 - 10*h**2 + 9*h + 8. Let z be r(9). Suppose -6*c + 8 = -c + 4*p, -4*c = -4*p + z. Let o(q) = q**2 - 4. Give o(c). -4 Let i(b) = b**3 - 3*b**2 - 7*b + 10. Let q be i(4). Let v(t) = t**2. Give v(q). 4 Let w(f) = -f**3 + 4*f**2 + 5. Suppose y + i + 1 = -0, -5*i - 37 = -3*y. What is w(y)? 5 Let q(g) be the second derivative of -g**6/24 + g**5/60 - g**3/6 - 7*g**2/2 + 7*g. Let d(a) be the first derivative of q(a). Calculate d(-1). 5 Let q(a) = -4*a**2 + 5*a - 7. Let s(l) = -l**2 + 2*l - 2. Let o(b) = -2*q(b) + 7*s(b). Calculate o(-2). -4 Let o be (-1)/(-4) - 4/16. Suppose o = 2*s - 2*n + 20, s + s = -2*n - 4. Let r(t) = -t - 4. Calculate r(s). 2 Suppose 2*f - 10 = -4*t + 8, -16 = -2*f - 3*t. Let p = f - -17. Suppose r = q + 3*q + 7, q - 5*r - p = 0. Let c(i) = -2*i**2 - 2*i + 4. Determine c(q). -8 Let l(q) = -5*q**2 - q + 6. Let i(u) = -4*u**2 - 2*u + 6. Let n(w) = -4*i(w) + 3*l(w). Give n(-6). 0 Let a(w) = 9*w**3 + w**2 - 4*w - 1. Let i(p) = 17*p**3 + 2*p**2 - 7*p - 2. Let h(u) = 7*a(u) - 4*i(u). Suppose 2 = 2*m + 4. Give h(m). 5 Let g(x) be the first derivative of 2 - 1/2*x**2 + 3*x. Let w = -8 + 5. Give g(w). 6 Let l(z) = -z**3 - z**2 - 3. Let c(w) = -4*w**3 - 4*w**2 - 10. Let h(n) = -2*c(n) + 7*l(n). Give h(-1). -1 Let r(m) = 3*m - 1. Let q(w) = w**2 + 3*w + 2. Let y be q(-3). Let l be y*(5/2 + -2). Suppose -l = -3*k + 5. What is r
{ "pile_set_name": "DM Mathematics" }
99, 0 = 5*q - q - 4*f + 228. Let l = -39 - q. Calculate the greatest common factor of l and 15. 15 Suppose -350 - 249 = -2*r - j, 0 = 3*r - 5*j - 905. Calculate the highest common divisor of 180 and r. 60 Suppose 38*r - 42*r + 24 = 0. Suppose r*p + 164 = 794. Calculate the highest common divisor of 15 and p. 15 Suppose 66*z - 4305 = -y + 69*z, -3*z = 9. What is the highest common factor of 24 and y? 24 Let b(m) = m**3 - 3*m**2 - 6*m + 2. Let t be b(5). Let d = t - -188. Let u be 5/2*d/25. Calculate the greatest common divisor of 189 and u. 21 Suppose 2*z = 3*a + 309, -2*z + 9*a = 4*a - 307. Let y be z/(-9)*((-18)/4)/1. Calculate the greatest common factor of y and 52. 26 Let m(h) = h**2 + 10*h + 6. Let x be m(-9). Let a be 2 - (3/x - 2). Suppose -15 = 3*j - 45. What is the greatest common divisor of j and a? 5 Let y(p) = p**3 - 2*p**2 - 10*p + 30. Let j be y(4). Calculate the greatest common factor of 297 and j. 11 Let r = -8 - -10. Let o be ((-2)/4)/(3/42). Let u = o - -13. What is the highest common factor of r and u? 2 Let k be (-2056)/(-120) + 2/(-15). Suppose -8*b + 3 = -5. Calculate the highest common divisor of b and k. 1 Suppose 2*u + 12 = 3*u. Let b(t) = t**3 + 7*t**2 - 10*t - 13. Let i be b(-8). Calculate the greatest common divisor of u and i. 3 Let c(w) = -w**2 - 14*w - 6. Let u be c(-13). Suppose 122 = -u*x + 465. What is the greatest common divisor of 147 and x? 49 Let f be -6 - (-66)/12 - 99/(-6). Calculate the highest common divisor of f and 504. 8 Let s be 50/(7 + 45/(-10)). Calculate the highest common factor of 110 and s. 10 Let v = 51 - 47. Suppose -v*d + 60 = -0*d. What is the greatest common divisor of d and 15? 15 Let n = -16 + 21. Suppose -699 - 676 = -n*b. What is the greatest common factor of 55 and b? 55 Suppose 0 = 4*z + 5*w - 2196, 5*z + 4*w - 8*w = 2704. Calculate the greatest common factor of 64 and z. 32 Suppose n + 3*u - 24 = 0, -67 = -5*n - 2*u - 12. What is the greatest common divisor of n and 243? 9 Suppose -5*x + 5*c = -3 - 37, 0 = -3*x + c + 28. Let d be (x/8)/(-3 - 39/(-12)). What is the highest common divisor of 35 and d? 5 Let h = 6027 + -2742. Calculate the highest common divisor of h and 73. 73 Suppose 4*j = 419 + 373. Suppose 2*n = -k - k + j, -3*k + 301 = 2*n. Let z = k + 47. Calculate the highest common divisor of z and 25. 25 Let c = -1451 - -2135. Calculate the greatest common divisor of 18 and c. 18 Let i = -24 - -36. Suppose b - h - 5 + 0 = 0, 0 = 4*h + i. Suppose 0 - 18 = -b*a. What is the highest common factor of 27 and a? 9 Let p(u) be the first derivative of u**3/3 + 3*u**2/2 + 10*u + 12. Let i be p(-5). What is the highest common factor of i and 2? 2 Let d = -590 + 630. What is the highest common divisor of 25 and d? 5 Suppose k + 8*v - 6*v - 42 = 0, 5*k - 203 = -3*v. Calculate the highest common divisor of 200 and k. 40 Let s = -243 + 242. Let j be 4/1 + (4 - (s + 3)). Suppose 5*x - 50 - 29 = l, -5*l = x + 5. Calculate the highest common divisor of j and x. 3 Suppose -1046 = -3*s - n - 160, 0 = 4*s + 3*n - 1188. Suppose -54*y + 51*y + s = 0. What is the highest common divisor of 14 and y? 14 Suppose -6 = 2*k - 14. Let t be k/(-14)*(-30 + 16). Let h be 570/(-1 + t) + 2. What is the greatest common factor of 24 and h? 24 Suppose 8*y + 4 = 10*y. Suppose -c = -j - y*c + 52, -244 = -5*j - c. What is the highest common factor of j and 120? 24 Suppose -f = 3*f - 8. Suppose -f*z = 5*u + 4, 5*z + 9 = -u - 1. Let o be ((-14)/8)/(z/16). Calculate the greatest common divisor of o and 56. 14 Let x = 4 - -124. Let o be ((-144)/90)/(1/(-20)). What is the greatest common factor of o and x? 32 Suppose -16 = -4*l - 0*l. Let m = l - -5. Let z = 175 - 157. What is the greatest common factor of m and z? 9 Let w be (-96)/(-21) + (-12)/21. Suppose -f + w*f - 168 = 0. Calculate the highest common divisor of f and 14. 14 Suppose 3*n + n + 5*x = 46, -4*x = 4*n - 48. Suppose 8*y - 5*y = 378. Let z be ((-2)/2)/((-3)/y). Calculate the highest common factor of z and n. 14 Let p = 43 - 33. What is the highest common divisor of 270 and p? 10 Suppose 4*r = -2*o + 424 + 398, o = -r + 206. Calculate the highest common factor of r and 35. 5 Let y = -341 + 413. Calculate the greatest common factor of y and 492. 12 Let h be (-15 - -5)*16/(-10). Suppose 2*g - h = -2*g + 4*m, 0 = 2*g + 2*m - 16. Calculate the greatest common factor of 54 and g. 6 Let y be 136 + ((-2)/2 - -1). Let c(u) = -u**2 - 22*u - 40. Let n be c(-19). What is the highest common divisor of y and n? 17 Let y(h) = h**2 + 74*h - 7. Let m be y(-75). Let p be 1 - -1*1*33. Calculate the greatest common divisor of m and p. 34 Suppose -28 = -p - 4*i, 5*p = -2*i + 227 - 69. Let b(y) = 4*y + 15. Let m be b(-6). Let d be (m - -5)/(-2 + 1). Calculate the highest common factor of p and d. 4 Let u(m) = 6*m**2. Let c be u(2). Let h be 160 - -2 - (-16 + 10). Calculate the greatest common divisor of h and c. 24 Suppose 11934 = 6*q + 21*q. What is the highest common factor of q and 26? 26 Let t = 38 - 124. Let k = -6 - t. Suppose -6*o + 2*o + 40 = 0. Calculate the highest common factor of k and o. 10 Let v be ((-28)/(-6) + -4)/(2/6123). Calculate the greatest common divisor of v and 13. 13 Let p(u) be the first derivative of -25*u**2/2 - 26*u + 7. Let r be p(-5). Calculate the highest common divisor of 11 and r. 11 Suppose -2*t + 276 = 3*t - 3*z, 3*t = z + 164. Calculate the highest common divisor of t and 2322. 54 Let w(l) = 7*l**3 - 10*l**2 - 8*l + 9. Let u be w(4). Calculate the greatest common divisor of u and 53. 53 Suppose -z = 19*c - 21*c + 31, 0 = -5*c + z + 70. What is the greatest common divisor of 208 and c? 13 Let f = -90 - -150. Let d(v) = v**3 + 7*v**2 - 4*v + 6. Let s be d(-8). Let q be 1 + -2 - (1 + s). What is the greatest common divisor of q and f? 12 Suppose 5*t = 17*t - 84. Suppose t*j - 946 = 1749. What is the greatest common divisor of j and 35? 35 Let k = -15390 + 15558. Let j(w) = 7*w. Let v be j(3). What is the greatest common divisor of k and v? 21 Let f = 33 + -3. Calculate the greatest common divisor of f and 45. 15 Let a = -2 - -11. Let x(n) = 3*n**2 + 9*n + 9. Suppose 27 = -4*l + 3*q - 3, q = 4*l + 26. Let p be x(l). What is the greatest common factor of p and a? 9 Let n(q) = q**2 - 17*q - 15. Let g be n(18). Suppose r = x + g*x + 68, 5*x - 97 = -2*r. Calculate the highest common factor of r and 16. 8 Suppose c - 2*f - 20 = 0, -6*f + 3*f = 2*c - 5. What is the highest common divisor of 30 and c? 10 Let t(k) = 36*k - 4. Let d be t(1). What is the greatest common divisor of d and 256? 32 Let b = 547 + -512. Suppose -3*l = -199 - 11. Calculate the greatest common factor of b and l. 35 Suppose 495 = -0*m + 3*m. Let o(z) = z**2 - 8*z - 10. Let n be o(-5). Let u = n + m. What is the greatest common factor of 20 and u? 20 Let k(u) = -u**3 + 12*u**2 - u + 15. Let y = 36 + -24. Let r be k(y). Suppose 72 = -r*m + 7*m. Calculate the highest common factor of m and 6. 6 Let i(x) = x**3 + 5*x**2 - x - 5. Let m be i(-4). Suppose m*a = 16*a - 14. Calculate the greatest common divisor of 21 and a. 7 Let y(k) = -k - 35. Let t be y(-12). Let d = t - -41. What is the greatest common divisor of d and 27? 9 Suppose 19 - 1 = 3*f. Let h(m) be the first derivative of -m**3/3 + 12*m**2 + 31*m - 29. Let p be h(23). What is the highest common factor of f and p? 6 Let z be 33/(-1)*5*3/(-9). What is the greatest common factor of 440 and z? 55 Let k(c) = -c**2 - 27*c + 594. Let z be k(14). Let r be ((-8)/10)/((-5)/25). What is the greatest common factor of z and r? 4 Suppose 4*b - 5*j - 28 = -7*j, b - 3*j - 21 = 0. Let t = 28 + 8. What is the greatest common factor of b and t? 9 Suppose -5*n + 16*l = 14*l - 281, -3*n = -2*l - 171. What is the greatest common factor of n and 22? 11 Let v(w) = 24*w**2 + 25*w + 13. Let l be v(-3). Calculate the greatest common divisor of 14 and l. 14 Let i(m) = 2*m**2 + 67*m - 29. Let n be i(-34). Let y = 13 - 19. Let b be 2/(-6) + (-122)/y. Calculate the highest common factor of b and n. 5 Let j(c) = -c**3 - 6*c**2 - 2*c - 9. Let n be j(-6). Let a be (-16)/n*(6 + -54). Calculate the highest common divisor of 32 and a. 32 Suppose 57 = -4*x - 5*n, -n = 5*x + 4*n + 65. Let d = x + 19. Suppose -2*l = 5*y - 19 - 4, -2*y = -l - d. Calculate the
{ "pile_set_name": "DM Mathematics" }
44 + 105.31. What is m rounded to 1 dp? -4.1 Let q = -678726340 + 678726340.299497199. Let l = q + -0.2995. Round l to seven decimal places. -0.0000028 Suppose 2*r + 161257 = -2*p - 3029147, 2*p + 4785604 = -3*r. What is r rounded to the nearest 10000? -1600000 Let o be (-20)/110 - 35/(-11). Suppose -w - o - 2 = 0. Let m be (15/(-2))/(w/((-12840)/(-18))). Round m to the nearest one hundred. 1100 Let r = 584.069 - -0.931. Let g = r + -584.9999418. Round g to six dps. 0.000058 Suppose 4*o - 10550 = -k, 0*k + 10562 = 4*o - 5*k. Round o to the nearest one hundred. 2600 Let x = 101.61 + -102. Let b = x + 0.393456. Round b to four decimal places. 0.0035 Let g = -50877.9499935 - -50877. Let s = 0.95 + g. Round s to 6 decimal places. 0.000007 Let b = 543 - 833.5. Let q = -225 - b. Let u = -62.87 + q. Round u to one decimal place. 2.6 Let h = -25171 + 40334. Suppose 3*q + 3*m = 9198, 4*m = 4*q - 18592 + 6352. Let v = h - q. Round v to the nearest 1000. 12000 Let u = 36330.99967986 - 36331. Round u to 5 decimal places. -0.00032 Suppose -l - 2*h + 961 = 0, -7*l + 2*h + 3864 = -3*l. Let m(p) = -8*p - 11*p + l*p**2 - 14 + 15*p - 5*p. Let q be m(14). Round q to the nearest 100000. 200000 Let m = 0.20161 - 0.18957. What is m rounded to 3 decimal places? 0.012 Let b = 1200.4 + -1215. What is b rounded to zero decimal places? -15 Let w = -2608.761401 - -2607.685. Let g = -0.66641 - w. Let c = g - 0.41. What is c rounded to 5 decimal places? -0.00001 Let v = -0.27232 - -0.27194657. What is v rounded to 4 dps? -0.0004 Let z = -6.233 + -0.617. Let n = -6.85000168 - z. Round n to seven decimal places. -0.0000017 Let t = 1383 + -3042. Let o = 1656.337 + t. What is o rounded to 1 decimal place? -2.7 Let r = 0.28 + 43.72. Let n = -181 + 258.2. Let z = r - n. Round z to the nearest integer. -33 Let g be ((-5)/(-15))/((-3)/(9 - 0)). Let m be -1*(g - -6 - (3 + -2)). Let s be ((-8)/5)/m - 1472/5. Round s to the nearest 10. -290 Let b = -416 - -472. Let a = -3076.44 - -3021. Let u = a + b. Round u to 1 decimal place. 0.6 Let t = -61636.67 - -60610.5622. Let i = t + 1026. Round i to 2 decimal places. -0.11 Let q = -1.734 + -1262.266. Let r = -1263.207 - q. What is r rounded to two dps? 0.79 Let x = 6.65 - 5.3641. What is x rounded to 2 decimal places? 1.29 Let w = 74.74 + -80.64. Let f = -160333 - -160338.89684. Let x = w + f. What is x rounded to 4 dps? -0.0032 Let f = 195.87 + -195.941715. What is f rounded to three dps? -0.072 Let r = 190520 - -425920. Round r to the nearest one thousand. 616000 Suppose 0 = 2*s + s + 63. Let c be (14/6)/((-7)/s). Suppose c*w = w + 31560. What is w rounded to the nearest one thousand? 5000 Let m = -171 - -85. Let a = 89 + m. Suppose 0 = -a*v - 233 - 1. What is v rounded to the nearest 100? -100 Let f be (-5673)/((6/8)/((-57)/76)). What is f rounded to the nearest one hundred? 5700 Let w = -3.21 - -19.21. Let r = 16.0004 - w. What is r rounded to four dps? 0.0004 Let k = 214.8309143 - 214.83. Round k to 3 dps. 0.001 Let y = 1813.4 + -1445. Let h = y + 46.2. Let b = h + -375. Round b to the nearest integer. 40 Let h = -7.8 + -7.4. Let f = h + 15.43. What is f rounded to zero dps? 0 Let w = -15.25063891 + -0.34936149. Let t = w - -15.6. Round t to 6 dps. 0 Let n = 2.7 + -9.1. Let c = n - -15. Let j = 8.599999834 - c. What is j rounded to seven decimal places? -0.0000002 Let b = -242098490 - -242098487.28999953. Let f = b + 2.71. What is f rounded to seven dps? -0.0000005 Let b = -61195 - -61468.992. Let j = -274 + b. Round j to one decimal place. 0 Let l = 341.477149283 - 341.477. Round l to 5 decimal places. 0.00015 Let x = 3959.598 + -3953. Round x to one dp. 6.6 Let n(v) = -v**3 - 43*v**2 - 45*v + 159. Let q be n(-57). Round q to the nearest ten thousand. 50000 Let m = 13.4 - 6.4. Let z = -7.00000435 + m. What is z rounded to seven decimal places? -0.0000044 Let t = -223 + -65. Let g = 277.4 + t. Round g to the nearest 10. -10 Let k = 33443 + -22623. What is k rounded to the nearest 1000? 11000 Suppose -57*p = -50*p + 45178. Let o = p - 1926. Round o to the nearest 1000. -8000 Suppose p - 25182 - 473218 = 0. Round p to the nearest ten thousand. 500000 Let d = -49.89 + -0.11. Let k = -31 - d. Let n = -17.2 + k. Round n to the nearest integer. 2 Let m = 1 - -48. Let k = m + -45. Suppose k*n - 57 = -341. What is n rounded to the nearest 10? -70 Let z(u) = 8083*u**2 - 25*u + 348. Let b be z(-12). Round b to the nearest one hundred thousand. 1200000 Let x(i) = -i**3 + 16*i**2 + 37*i - 19. Let a be x(18). Let c be (-5 + a)*((-17)/3 - -5). Suppose 2 = v - 2*r + r, -3*v - c*r = -6. Round v to 1 dp. 2 Let q = 1193.48364202 + -1195.83481. Let l = -213.35077398 - q. Let y = l - -211. Round y to four decimal places. 0.0004 Let h = -22935 + 22935.0070606. Round h to five dps. 0.00706 Let r be 1/3 + (-2104436)/6. Suppose 2*x + 188738 = -b + 3*x, -5*x - 943700 = 5*b. Let i = r - b. Round i to the nearest ten thousand. -160000 Suppose 0 = 22*r - 20*r - f - 1329, f - 1327 = -2*r. Suppose -r = -p - 554. Round p to the nearest 10. 110 Let k = 167799 - 81409. What is k rounded to the nearest one hundred thousand? 100000 Suppose 93*y + 9386495 = -4836925. What is y rounded to the nearest 1000? -153000 Let o = -422.93 + 422.9313944. What is o rounded to 3 dps? 0.001 Let o = -522.9 + 522.9000018348. What is o rounded to 6 dps? 0.000002 Let n(j) = j + 6. Let g be n(-8). Let v be (125/(-2))/(g - 117762/(-58880)). Round v to the nearest one million. -2000000 Let q = -29513045071808 - -29513045086480.999992879. Let w = q + -14673. What is w rounded to six decimal places? -0.000007 Suppose -5*q = 5*b - 40 - 0, 0 = 4*b - 4. Suppose -17*c + 73920000 = q*c. What is c rounded to the nearest one hundred thousand? 3100000 Let z = -12.09238 - -0.10638. What is z rounded to 1 decimal place? -12 Let i(l) = 201*l - 15. Suppose 10 = y + y + 2*g, 3*g = 2*y. Suppose 17 = -4*w + p, -2*w + 2*p + 5 = -y*p. Let k be i(w). What is k rounded to the nearest 100? -1000 Let h = 0.278 - 0.28. Let c = 0.953 - h. What is c rounded to 1 dp? 1 Let b = 28.04 + -0.04. Let n = -32521 + 32493.166. Let t = b + n. Round t to two decimal places. 0.17 Let s be 3 + (28 - 32 - -1*5). Let t be (-1 - 5/(-3))*-3. Let k be -100*(-5 + s)/((-1)/t). What is k rounded to the nearest one thousand? 0 Let q = -34778.9999978247 - -34779. Round q to six decimal places. 0.000002 Let b be (32/120)/(6 - (-366)/(-60))*582. Round b to the nearest one thousand. -2000 Let p be (-10291017)/(-6) - 6/(-4). Suppose 0 = -2*w - 10, 0 = 3*t - w - 90462 - p. Let v = -316876 + t. What is v rounded to the nearest ten thousand? 290000 Let r = 883.59 - -9.41. Let m = r + -892.6632. What is m rounded to 2 decimal places? 0.34 Let y = -0.445257904 - -0.4453. What is y rounded to seven decimal places? 0.0000421 Let l = 7.095 + 333.046. Let h = 1846 - 2186. Let p = l + h. What is p rounded to 2 decimal places? 0.14 Let h = 290910.73 + -289014. What is h rounded to the nearest 100? 1900 Let x = -196.01624 - -139.4453. Let d = x + 65.969. Let a = 9.4 - d. What is a rounded to 4 dps? 0.0019 Let j = -379 - -378.672. Let z = j - 1.062. Round z to 0 dps. -1 Let l = 4416 - 4474.74. What is l rounded to the nearest 10? -60 Let w = 107436.5133 - 107445. What is w rounded to zero decimal places? -8 Let p = -9023 - -8460.9. Let c = p - -536. Let s = c + 26.10000141. Round s to 7 dps. 0.0000014 Let u = 3411 + -3341.55. What is u rounded to the nearest integer? 69 Let f = 0.4721 + -0.4717199. Round f to four decimal places. 0.0004 Let x be 32/24*(-105)/(-28) - -743495. Round x to the nearest 1000000. 1000000 Let a be 5800/(-12 + 63052/5258). Round a to the nearest 100000. -700000 Let x = -12778 - -12798.077. Let j = x + -17.74. What is j rounded to one dp? 2.3 Let x = -165344234.8399249 + 165344242. Let t = 7.16 - x. What is t rounded to 6 decimal places? -0.000075 Let g = -6953.02 - -6613. Let h = 343 + g. Round h to 1 dp. 3 Let m = -50.9 - -18.9. Let w = 31.8515 + m. Round w to two dps. -0.15 Let k = -5034.451 - -5039. Let n = -0.299 + k. Round n to the nearest integer. 4 Let j = -15602.824 + 15676. Round j to the nearest ten. 70 Let m = -4.778 - -4.710274. Round m to two dps. -0.07 Let a = 51866 + -51865.99922941. Round a to six decimal plac
{ "pile_set_name": "DM Mathematics" }
ate u(w) with respect to w. -131 Let y(o) be the first derivative of -2*o**4 - o**3/3 + 31*o**2/2 + 2*o - 113. What is the second derivative of y(t) wrt t? -48*t - 2 What is the second derivative of -2*f - 3*f**2 + 16*f**4 - 30*f**4 + 6*f**4 + 7*f**4 - 5 wrt f? -12*f**2 - 6 Let o(v) be the third derivative of v**8/560 + v**5/30 + v**3 + 7*v**2. Let y(d) be the first derivative of o(d). Find the second derivative of y(n) wrt n. 36*n**2 Let y(g) = 40*g**4 - 2*g**3 + 49*g**2 - 6. Let z(v) = 81*v**4 - 4*v**3 + 97*v**2 - 11. Let o(p) = -11*y(p) + 6*z(p). Find the third derivative of o(i) wrt i. 1104*i - 12 Let z(l) = -7*l**2 - 6*l + 3. Let d be 5 + (-1 + 7 - 4). Let y(p) = 13*p**2 + 13*p - 7. Let r(n) = d*z(n) + 3*y(n). Find the second derivative of r(m) wrt m. -20 Let n(i) = i**4 + 1 + 104*i + i**2 - 210*i + 107*i. Let s(x) = -24*x**4 + 22*x**2 + 6*x + 6. Let r(a) = -6*n(a) + s(a). Find the third derivative of r(w) wrt w. -720*w Find the second derivative of 1 - 10*o + 8*o + 4*o**2 + 64*o - 36*o**2 - 21*o**2 wrt o. -106 Let r(b) = b**4 + b**2 - 2*b - 1. Let o(i) = -33*i**4 + 6*i**2 + 49*i - 6. Let n(z) = -o(z) + 6*r(z). Find the second derivative of n(m) wrt m. 468*m**2 Let m(o) = 44*o**2 + 4*o - 23. Let l(n) = -43*n**2 - 3*n + 24. Suppose 0 = 5*c + 20 - 5. Let p(d) = c*m(d) - 4*l(d). What is the derivative of p(a) wrt a? 80*a Let p be (-2 + 3)*(2 - 0). Let h be 9/12*(-1*28)/(-7). Find the third derivative of -9*r**4 + 9*r**2 - 2*r**3 + 12*r**4 + p*r**h wrt r. 72*r Let j = -51 - -55. What is the second derivative of j*r**2 + r**2 - 6*r - 16*r - 6*r**2 wrt r? -2 Let m(z) = -z**2 + z. Let k(y) = -15*y**3 + 17*y**2 + 5*y. Let v = -85 - -80. Let p(a) = v*m(a) + k(a). What is the third derivative of p(b) wrt b? -90 What is the third derivative of -245*m**5 - 134*m**5 - 41*m**2 + 90*m**5 wrt m? -17340*m**2 Let u(x) be the first derivative of 7*x**5/20 - x**2/2 + 3*x - 7. Let p(v) be the first derivative of u(v). What is the first derivative of p(g) wrt g? 21*g**2 Let j(u) = -2*u - 1. Let c(f) = 58*f - 55. Let d(o) = -c(o) - 6*j(o). What is the first derivative of d(l) wrt l? -46 Let i(z) = -160*z**5 + 2*z**3 + 2*z**2 + z + 114. Let u(b) = b**5 - b**3 - b**2 - 3. Let r(v) = -i(v) - 2*u(v). Find the second derivative of r(f) wrt f. 3160*f**3 Find the second derivative of 14 - 2*t**2 - t - 2*t**2 + 5*t**2 + 3 wrt t. 2 Let m be (-1)/(3/18*-2). Suppose -3*c + 0*c - 39 = -3*j, 0 = j - m*c - 15. Find the second derivative of 6*s - 3*s - j*s**4 + 4*s**4 wrt s. -96*s**2 Let c(f) be the second derivative of f**7/120 + f**5/8 + 7*f**3/6 + 9*f. Let o(x) be the second derivative of c(x). What is the second derivative of o(w) wrt w? 42*w Differentiate -3 - 157*q**2 + 39 + 17*q**2 wrt q. -280*q Find the second derivative of 538*c + 44*c**5 + 15*c**5 - 505*c wrt c. 1180*c**3 Find the first derivative of 3*z**3 - 3*z**3 - 152*z**4 - 12 - 17 + 2 wrt z. -608*z**3 What is the third derivative of -582*s**4 + 14450*s - 2*s**3 - 11*s**2 - 14405*s + 2*s**3 wrt s? -13968*s Let j(t) = -t**3 - 11*t**2 + 9*t - 22. Let i be j(-12). Differentiate 12*y + 24*y + 12*y + i - 29*y wrt y. 19 Let h(n) be the third derivative of n**8/84 - n**6/120 + 23*n**4/6 + 72*n**2. Find the second derivative of h(p) wrt p. 80*p**3 - 6*p Let j(u) = u**5 - 4*u**4 - u**2 + u. Let k(r) = -445*r**5 + 8*r**4 + 2*r**2 - 22. Let o(b) = 2*j(b) + k(b). Find the second derivative of o(p) wrt p. -8860*p**3 Let d(n) be the third derivative of 13*n**4/12 - 12*n**3 + 97*n**2. What is the derivative of d(i) wrt i? 26 Suppose 3*o - 3 = -9. Let u be (-7 + 3)/(o/14). Find the third derivative of -u*f**2 + 8*f**4 + 28*f**2 + 10*f**2 wrt f. 192*f Let m be 3 + (129 - 3) + 0. Find the third derivative of -50*l**2 - 2*l**2 + 28*l**3 - m + 129 wrt l. 168 Suppose z + 0*z = 3*s - 4, 3*z = -4*s - 12. Let w be z/(-16) - 39/(-4). What is the second derivative of 14*h**2 - 14*h**2 - w*h - 7*h**5 wrt h? -140*h**3 Let w(s) be the third derivative of 27*s**7/35 - 91*s**4/12 + s**3/3 - 462*s**2. What is the second derivative of w(m) wrt m? 1944*m**2 Let i(g) be the second derivative of 0*g**7 + 12*g - 3/4*g**4 + 0*g**3 + 0 + 0*g**2 + 0*g**5 - 2/7*g**8 + 0*g**6. Find the third derivative of i(b) wrt b. -1920*b**3 Suppose -t = -6*t + c + 39, 20 = -5*c. Suppose h = t - 5. What is the derivative of 3*l**h - 12*l**2 + 6 + 0 - 4 wrt l? -18*l Suppose 0 = 3*f + 2*f - 10. What is the third derivative of 8*z**5 - 4 + 21*z**f + 4 - 10*z**2 wrt z? 480*z**2 Let q be (-8)/(-4)*(-39)/6. Let y = 16 + q. What is the first derivative of 10 - y - 3*b**2 - 8 wrt b? -6*b Let d be (-141)/(-27) + (-2)/9. Suppose -2*a = -d - 5. What is the third derivative of k**a + 4*k**2 + 2*k**2 - 3*k**5 wrt k? -120*k**2 Let w(s) be the second derivative of -s**7/84 - 7*s**4/24 + 11*s**3/3 - 12*s. Let d(p) be the second derivative of w(p). What is the derivative of d(r) wrt r? -30*r**2 Suppose 2*x - 15 + 9 = 0. What is the third derivative of -10*a**3 + 24*a**2 + 19*a**3 + 32*a**x wrt a? 246 Let k(p) be the second derivative of 0*p**2 + 11/2*p**3 + 15*p - 1/4*p**4 + 0. Find the second derivative of k(o) wrt o. -6 Let j(f) = -f**3 + f**2 + 4. Let p(r) = 9*r**3 + 120*r**2 - 148*r - 24. Let n(s) = -6*j(s) - p(s). Find the second derivative of n(k) wrt k. -18*k - 252 Let q(z) be the third derivative of 62*z**7/105 - z**5/30 - 43*z**4/12 - 879*z**2. Find the second derivative of q(i) wrt i. 1488*i**2 - 4 Suppose -2*w + 5*g + 5 = 0, -w - 20 = -6*w + 5*g. Suppose 0 = -w*r + 12 + 13. Find the second derivative of -r*t + 6*t + 5*t**4 + 2*t wrt t. 60*t**2 Let d = 28 - 27. Differentiate 11 + 24*y**2 + d + 6 - 22 wrt y. 48*y Let j(v) be the third derivative of 1/2*v**3 + 1/60*v**6 + 0*v**5 + 14*v**2 + 0*v**4 + 0 + 0*v. Differentiate j(w) wrt w. 6*w**2 Let j(n) be the first derivative of 2*n**5/5 + 2*n**4 + 335*n**2/2 + 213. Find the second derivative of j(w) wrt w. 24*w**2 + 48*w Let x(b) = 19*b**5 + b**4 + 3*b**3 + 65*b**2. Let r(u) = u**5 + u**3 + 2*u**2. Let i(t) = 3*r(t) - x(t). Find the third derivative of i(g) wrt g. -960*g**2 - 24*g Differentiate -2*u - 924 - 44*u - 19*u**2 - 21*u + 16*u**2 wrt u. -6*u - 67 Let b(i) = 2*i**4 + 27*i**3 + 11*i + 6. Let m(l) = 3*l**4 + 53*l**3 + 20*l + 11. Let w(z) = 5*b(z) - 3*m(z). Find the second derivative of w(r) wrt r. 12*r**2 - 144*r Let r be (-5)/(-5) + (1 - 9). Let t be 150/105 - 4/r. What is the third derivative of -20*j**2 + 37*j**2 + 7*j**3 - 20*j**t wrt j? 42 Suppose 2*p + 14 = -2*f + 3*f, -3*f = -4*p - 32. Find the first derivative of 60 - 34 - 3*z**f - 36 wrt z. -12*z**3 Let m(f) be the second derivative of 11*f + 0 + 0*f**2 + 7/12*f**4 + 1/2*f**3. Find the second derivative of m(d) wrt d. 14 Find the first derivative of 104*v - 50 + 27*v - 76 wrt v. 131 Let k(z) be the first derivative of -z**5/5 - 31*z**4/4 - 102*z**2 - 252. Find the second derivative of k(c) wrt c. -12*c**2 - 186*c Let y(w) = 7*w**2 - 19*w**2 + w + 13*w**2 - 1. Let z(r) = -16*r**2 + 3*r - 1. Let k(t) = y(t) - z(t). What is the second derivative of k(g) wrt g? 34 Let m(l) be the third derivative of 5*l**8/4 - 243*l**5/20 + 640*l**2. Find the third derivative of m(u) wrt u. 25200*u**2 Suppose -4*a = 9 - 45. Let r(i) = -i**2 + 10*i - 6. Let h be r(a). What is the first derivative of -7 - 5*y**h + y**3 + 9 wrt y? -12*y**2 Let o be (-9)/21 - (-85)/35. Suppose -j + o*j - 2 = 0. Find the third derivative of -4*s**2 + 2*s**2 - 3*s**j - 10*s**4 wrt s. -240*s Let i(y) be the second derivative of y**4/12 - y**3/3 - y**2/2 + 3*y. Let o be i(-1). What is the third derivative of -3*u**6 + 2*u**2 - 5*u**o + 0*u**6 wrt u? -360*u**3 Let s(x) be the second derivative of 7*x**5/20 - x**4/6 + 22*x**2 - 30*x - 1. Differentiate s(a) wrt a. 21*a**2 - 4*a Let d(h) = 9*h - 11. Let l(m) = -17*m + 22. Suppose 0 = s + 5 - 3. Let b(z) = s*l(z) - 5*d(z). Find the first derivative of b(j) wrt j. -11 Let h(w) be the first derivative of 81*w**2 - 11*w + 359. What is the first derivative of h(b) wrt b? 162 Let n(d) = -4*d**4 - 9*d + 3. Let u(r) = -3*r**4 - r**2 - 9*r + 3. Let a(l) = -4*n(l) + 5*u(l). Find the second derivative of a(b) wrt b. 12*b**2 - 10 Let l(b) = -b**2 - 9*b + 2. Let f be l(-9). Suppose 3*q - f = 2*q. What is the third derivative of -q*r**2 + 4*r**5 + 0*r**5 + r**2 wrt r? 2
{ "pile_set_name": "DM Mathematics" }
ors of q(4)? 2, 17 Let r(w) = -3*w**3 - w**2 + 3*w + 1353. What are the prime factors of r(0)? 3, 11, 41 Suppose 29*t - 3*i = 34*t - 15286, -3*i - 9 = 0. List the prime factors of t. 7, 19, 23 Suppose 4*s = -s + 20. Suppose 5*q - 4*k + 112 = 0, 5*k + s - 19 = 0. Let l = -2 - q. What are the prime factors of l? 2, 3 Let h = 84 + -94. What are the prime factors of (-87)/(-6)*(-100)/h? 5, 29 Let y be ((-12)/(-10))/(6/1005). Suppose 107 = 3*m + f, 3*m - y = -2*m + 4*f. List the prime factors of m. 37 Let n = -257 - -758. List the prime factors of n. 3, 167 Let b = 585 + 278. List the prime factors of b. 863 Suppose 4*z + 1242 = -2*z. Let y = -122 - z. What are the prime factors of y? 5, 17 Let g = -4 - -6. Let k(d) = 30*d**g - 31*d**2 + 12*d - 2*d + 2. List the prime factors of k(6). 2, 13 Let v = 692 + -420. Suppose 2*n + 2*n - v = 0. Suppose -4*d + n = 8. What are the prime factors of d? 3, 5 Let n(j) = j**3 + 8*j**2 - 8*j + 10. Let a be n(-9). Suppose -a = -z + 3. Suppose 3*o - z - 41 = 0. What are the prime factors of o? 3, 5 Suppose 11*s = 16*s - 895. What are the prime factors of s? 179 Let u be (-399)/126 - (-1)/6. Let v be ((-14)/6)/(u/(-9)). What are the prime factors of 1 + v/((-7)/54)? 5, 11 Let f be (2 - 12/2) + -4 + 8. Suppose f = -17*m + 18*m - 140. List the prime factors of m. 2, 5, 7 Let n(q) = q**2 + 2. Let c be n(2). Let y = 10 - c. What are the prime factors of (9 - 2) + y + -2? 3 Let t(h) = 5*h + 9. Let i(m) = -m. Let s(k) = -6*i(k) - t(k). Let d be s(7). List the prime factors of (28 - 0)*(-1 - d). 2, 7 Let r be (-209)/38*-5*(1 - -5). Suppose 3*v = -12 + r. What are the prime factors of v? 3, 17 Suppose -477*k - 3076 = -481*k. List the prime factors of k. 769 Suppose 0 = -3*s - 2*l + 105, -4*s - 3*l + 140 = l. Suppose -k + 28 = -s. List the prime factors of k. 3, 7 Suppose -2*h + 48 = u, 2*h = u - 0*u + 56. Suppose -s = -3*f + 2*f + 1, 5*f + 2*s = h. What are the prime factors of f? 2 List the prime factors of 17*(-2)/4*-124. 2, 17, 31 Suppose -122 = -2*h + 118. Suppose -6*q - 30 = -h. What are the prime factors of q? 3, 5 Suppose 0 = -0*l + 2*l + 4. Let u be 1*(l - 0) + 0. Let a(p) = -p**3 - 3*p**2 - 4*p - 2. What are the prime factors of a(u)? 2 Suppose -4*c - 48 = -c. Let w = c + 33. List the prime factors of w. 17 Suppose -4*c + 5*d + 15 = -2*c, -15 = 5*d. Suppose -f + 81 + 30 = c. What are the prime factors of f? 3, 37 Let d(f) = -98*f - 21. What are the prime factors of d(-6)? 3, 7 Suppose -q + 263 = -d, -36*d - 520 = -2*q - 40*d. List the prime factors of q. 2, 131 Let i = 8735 + -4344. List the prime factors of i. 4391 Suppose 0 = 5*f - 14 - 26. Let c(k) = -9 + 6*k - 52*k + f. List the prime factors of c(-1). 3, 5 Suppose -2*i = 7 - 1. Let u = 52 + i. List the prime factors of u. 7 Suppose -5*v = 4*k + 7, k - 7 + 2 = v. Suppose -k*i - 5*l = -256, i = -2*i - 3*l + 366. List the prime factors of i. 2, 59 Let x = 1197 - -646. What are the prime factors of x? 19, 97 Suppose -3*p + 2 - 11 = 5*a, -5*a + 5*p - 25 = 0. What are the prime factors of -4 - 788/a - 6/9? 2, 3, 43 List the prime factors of 582 - (-2 + (-5)/(-5)). 11, 53 Let q be 4*(297/4 - -2). Let g = 199 - 194. Suppose -q = -g*k - 4*t, 0 = k - 0*k - 5*t - 32. What are the prime factors of k? 3, 19 Suppose 96*l - 92*l - 580 = 0. What are the prime factors of l? 5, 29 Suppose -5*n + 41 = 4*y + 5, 0 = 5*n - 3*y - 8. Suppose -2*i + 0*i + n = 0. Suppose i*s = 74 + 20. List the prime factors of s. 47 Suppose 78*q = 60*q + 16812. List the prime factors of q. 2, 467 Suppose -4*l + 604 + 280 = 0. Suppose m - l = -3*n, -4*m + 4*n - 222 = -5*m. List the prime factors of m. 2, 109 Let z be (2 + -3)/1*-165. Let v = z + -59. Suppose -v + 28 = -2*q. What are the prime factors of q? 3, 13 Suppose 0 = -4*p + 1500 + 12716. What are the prime factors of p? 2, 1777 Let c = -3 + 10. Let d(j) = j**3 - 6*j**2 - 6*j - 5. What are the prime factors of d(c)? 2 Suppose -g = -3*g + 220. Let m = g - 59. What are the prime factors of m? 3, 17 Suppose 2*z = 2*y + 62, -4*y - z - 142 = 4*z. Suppose 4*o = 5*m + 300, -2*m - 78 = -o - 0*m. Let i = y + o. List the prime factors of i. 37 Suppose o + 82 = -296. Let u be (o/(-35))/((-6)/(-20)). Suppose -4*h - 4 + u = 0. List the prime factors of h. 2 List the prime factors of 3 - (13 + -10 + -3*116). 2, 3, 29 Let x = 1436 + -250. List the prime factors of x. 2, 593 Suppose 0*v + 2*v = 12. Let h = 13 - 11. What are the prime factors of 4 + 3/v*h? 5 Let v = -3663 + 8432. What are the prime factors of v? 19, 251 Let m = 32 + -28. Suppose c + 5*a - 88 = 0, 0 - 16 = -m*a. List the prime factors of c. 2, 17 Let v = -29 - -33. Suppose -2*y + v*d + 100 = 0, 4*y = 3*d + 175 + 20. List the prime factors of y. 2, 3 Suppose 3*a + 12 = 5*t, -11 = 2*a - a - 4*t. Let j be a/3 + (-356)/(-12). What are the prime factors of -65*-6*4/j? 2, 13 Let l(r) = 6*r + 108. What are the prime factors of l(-4)? 2, 3, 7 Let w(f) = 52*f**2 + 16*f + 127. What are the prime factors of w(-5)? 3, 449 Let v be (-2)/(2 - 48/20). Suppose -52 = -v*y + 63. What are the prime factors of y? 23 Suppose 288*y - 297*y + 9828 = 0. List the prime factors of y. 2, 3, 7, 13 Let b = -197 - -2670. List the prime factors of b. 2473 List the prime factors of -7*6/126 + (-9638)/(-6). 2, 11, 73 Let h(q) = q**2 - 17*q - 20. Let y be h(19). Suppose y*x - 17*x - 22 = 0. List the prime factors of x. 2, 11 Suppose 0 = p - 4*y - 339, 0*p - 364 = -p - y. List the prime factors of p. 359 Suppose -3*p + p = 0. Let r(f) = -f**3 + f**2 - f - 2. Let n be r(0). List the prime factors of 0 + (2 + p - n). 2 What are the prime factors of 115/46 - 1234/(-4)? 311 Suppose -6 = -3*g + 72. Suppose -8*a = -6*a + g. Let m = 3 - a. List the prime factors of m. 2 Let t(s) = 7*s - 3. Let a be t(3). Suppose -3*p = 5*c - 25, -4*p - 5*c + 17 = -a. What are the prime factors of p/(-3)*18/(-15)? 2 Let z(y) = -y**3 - 11*y**2 - 4*y - 9. Let g be z(-11). Suppose -c = -4*h + 250, h - c - 29 - g = 0. What are the prime factors of h? 2, 31 Let v = 74 - -58. What are the prime factors of v/10 - (-2)/(-10)? 13 Let o = 27 - 27. Suppose a = -2*l + 14, a - 3*l + 0*l - 29 = o. List the prime factors of a. 2, 5 Let g(w) = -w**3 - 4*w**2 + 12*w + 5. Let c be g(-6). Suppose c*l = 3*l + 8. List the prime factors of l. 2 Let m(g) = 8*g + 1. Let h be m(4). Suppose 4*i = -4*l + 31 + 13, -5*i + 4*l = -73. Let v = i + h. List the prime factors of v. 2, 23 Suppose 3*s = -12, -s = -13*n + 12*n + 36. What are the prime factors of n? 2 Let w(n) = -n**3 + 3*n**2 - 1. Let d be w(3). Let i be 4/(d/(-6)*-4). What are the prime factors of 113/3 - (-4)/i? 37 Let w(f) = 21 - f - 5*f + 2*f + 2*f. Let j be w(14). Let l(y) = y**2 + 7*y + 4. What are the prime factors of l(j)? 2 List the prime factors of (14/7)/(1/(419/2)). 419 Let x = 4200 - 2504. Suppose x = 7*q + 352. List the prime factors of q. 2, 3 Let r be (0 - 204)*15/(-6). Suppose 9*j + r = 1608. List the prime factors of j. 2, 61 Suppose 4*r - 167 + 35 = 0. Let a be (-12)/10*110/r. Let s = 1 - a. What are the prime factors of s? 5 Let o = -7 - -10. Let l be -10*(o - (-28)/(-8)). Suppose l*h = 2*p + 190, 5*p - 11 = -2*h + h. What are the prime factors of h? 2, 3 Let b = -35 + 38. Suppose 0 = 5*c + 4*l - 699, 3*c - b*l + 559 = 7*c. What are the prime factors of c? 139 Suppose -887 = -8*q + 481. List the prime factors of q. 3, 19 What are the prime factors of (40938/(-14))/(-3) + 4/14? 3, 5, 13 Suppose -10*j - 7968 = -22*j. What are the prime factors of j? 2, 83 Suppose 0 = 15*n - 14*n - 59. Suppose 54*l - n*l + 700 = 0. What are the prime factors of l? 2, 5, 7 Let h = 124 + -74. Let k = -31 + h. List the prime factors of k. 19 Let m = 18 - 14. Suppose 0 = 5*z + m*y - 695, -3*y + 179 = -4*z + 735. List the prime factors of z. 139 Let o(z) = -z**2 - 8*z + 11. Suppose 0 = -2*c - 10 - 8. Let s be o(c). Suppose -s*m + 35 = 5*q, 0 = 5*q - 4*m + 9*m - 50. What are the prime factors of q? 5 Suppose -273 = 5*c - 3*r, -5*c - 141 = -r + 130. Let a = 196 + c. What are the prime factors of a? 2, 71 Let y = 80 + -55. Suppose -6*p - 52 - 14 = 0. Let w = y + p. List the prime factors of w. 2, 7 Suppose -10*s - 5 = -11*s. Let v(z) = 4*z**2 + z. Let u be v(-2). Suppose q + 4*a = -2*q + 25, -2*q + s*a - u = 0. What are the prime
{ "pile_set_name": "DM Mathematics" }
4548695 + 2724520826.88453. Let n = k + 27868. Let d = 0.115 + n. Round d to 4 dps. -0.0005 Let g = -1.217 - -1.2170857. What is g rounded to five decimal places? 0.00009 Let h = 0.17 + -12.17. Let d = h - -12.56. Let n = 0.24 + d. What is n rounded to zero dps? 1 Let x = -6494620 - -9714616. Suppose -a = -4*p - x, p + 3219984 = -3*p + 4*a. What is p rounded to the nearest one hundred thousand? -800000 Let y(n) = -n**3 + 9*n**2 - n - 21. Let w be y(9). Let o be (-10)/w - 1501/3. What is o rounded to the nearest 1000? -1000 Suppose 12*d = 4*d - 176. Let w = -45 - d. What is w rounded to the nearest ten? -20 Let v = 89.7 - 94.27. Let n = v + 4.5699793. Round n to six dps. -0.000021 Let t = 40 - 4. Suppose 6*m = 10*m + t. Let h be 625*-1776*(m + 8). What is h rounded to the nearest 100000? 1100000 Suppose -4*n = -13*n - 135. Let z be 1455000012/30 + 6/n. What is z rounded to the nearest 1000000? 49000000 Let c = 1320.66 - 1341. What is c rounded to one dp? -20.3 Let j be (-6)/(-14)*1 + (-252643580)/(-980). Round j to the nearest ten thousand. 260000 Let w = -1912.35 + 2002. Let x = 90 - w. What is x rounded to 1 decimal place? 0.4 Let t = 2970 + -2950.61. Round t to the nearest ten. 20 Let n = 146.44 - 151.44188. Let m = 3.6 - -1.4. Let c = n + m. What is c rounded to 4 dps? -0.0019 Let j = 1027.363 + -1026. Round j to 1 dp. 1.4 Let u = -500.8752 - -501. Round u to 2 dps. 0.12 Let k = -75469.17 + 75926. Let i = k - 455. Round i to the nearest integer. 2 Let w = 641 - 667.7. Round w to the nearest 10. -30 Let l = 9893 - 4386. Suppose 6*a - 31 + 7 = 0. Suppose 7293 = -a*g - l. Round g to the nearest one thousand. -3000 Let x = 167 + -166.95. Let u = 4.618 - 4.668025. Let c = u + x. What is c rounded to 5 dps? -0.00003 Let y = 91.0304 + -91. Round y to three dps. 0.03 Let p = -45.019997793 + 45.02. What is p rounded to 6 decimal places? 0.000002 Let k = 51 - 51.3. Let g = 30.5 + k. What is g rounded to 0 decimal places? 30 Suppose 4*q = 2*b - 129960, 0 = q + 33*b - 28*b + 32490. Round q to the nearest ten thousand. -30000 Let z(h) = h**2 + 10*h + 5. Let g be z(-10). Suppose 4*q - 17 = 2*i - 7*i, -14 = -g*q + i. Let c be 330003 + (-1*9)/q. What is c rounded to the nearest 100000? 300000 Let p = 263.02 - 261. What is p rounded to the nearest integer? 2 Let q = -1703.9256 - -1705. Let z = 1.07 - q. Round z to 3 dps. -0.004 Let h(k) = k**2 - 7*k + 12. Let c be h(5). Suppose 154988 = 5*s + 4*g, 2*s + c*g = s + 30994. Round s to the nearest ten thousand. 30000 Let p = -193 + 873. Round p to the nearest 1000. 1000 Let r(b) = 5*b - 33. Let d be r(6). Let f be (334/d*-8)/((-4)/150). What is f rounded to the nearest ten thousand? -30000 Let p = 0.87 + -0.8674. Round p to 3 decimal places. 0.003 Let f = 35221 + -56212. Let n = -5 - -11. Let l be n/14 + f/(-21). Round l to the nearest ten thousand. 0 Let s = -0.0018 + -975.9982. Let c = s - -975.9999457. What is c rounded to 5 decimal places? -0.00005 Let c = 0.076 - 0.155. Let n = c + 0.078961. Round n to 5 dps. -0.00004 Let c = -235.14 - -229. Round c to the nearest integer. -6 Let q = 107372078 - -6837456. Suppose -13290466 = -5*o + q. Suppose -2*n = 3*g + n + o, -4*g - n = 34000000. Round g to the nearest 1000000. -9000000 Let d = 268.00000143 + -268. Round d to 7 dps. 0.0000014 Let f = -7987.3 + 5492.4. Round f to the nearest ten. -2490 Let p be -1*(-1)/2*4. Suppose -5*o - s = 10535464 - 100535468, -o - s = -18000004. Suppose -p*r = r + o. Round r to the nearest 1000000. -6000000 Suppose -i = -4*d + 811918 + 80478, 3569599 = -4*i + d. Round i to the nearest 10000. -890000 Let f = -193988 + 193988.0169998. Let h = -0.017 + f. Round h to 7 dps. -0.0000002 Let c = 3.91 + 0.09. Let o = 3.06 - 7.0695. Let i = o + c. What is i rounded to three decimal places? -0.01 Suppose k - 2*s - 1537 = 4*k, 0 = -k + 2*s - 523. What is k rounded to the nearest 100? -500 Let j = 212225 - 136649. Suppose m + 5*a - 40903 = 0, -4*m + 88102 + j = -2*a. Suppose -5*c + m = -24082. What is c rounded to the nearest ten thousand? 10000 Let g be (-24)/132 - (0 - 180/22). Let u be (g/32 - (-3)/4)*1310. Round u to the nearest 100. 1300 Suppose 2*p = 3*p - 5*v - 28150, -3*v - 12 = 0. Round p to the nearest 1000. 28000 Let z = 48.8 + -48.80000417. Round z to 6 dps. -0.000004 Let p = 2.7999808 + -2.8. What is p rounded to six decimal places? -0.000019 Suppose -330736 = 5*h + 3769264. Round h to the nearest 100000. -800000 Let u = -13.66 + -0.34. Let z = -13.99999896 - u. Round z to 7 dps. 0.000001 Let z = 619 + -618.999997416. Round z to 7 dps. 0.0000026 Let v = -3.38 + 3.2919. What is v rounded to 2 dps? -0.09 Let t = -1.98 + 1.9852. What is t rounded to three decimal places? 0.005 Let d = -118 + 224. Let f = d + -105.9999895. What is f rounded to 6 decimal places? 0.000011 Let n = 193 - -9. Let y = n + -201.9999853. What is y rounded to six dps? 0.000015 Let i be -4*(-1)/(-2)*-1. Let a(o) = o**3 - 2*o**2 + 1. Let z be a(i). Let y be -3 + (z - (-880001 + -1)). Round y to the nearest one hundred thousand. 900000 Let m = -86.8402 + 86.351963. Let k = -0.33825 - m. Let y = k - 0.15. What is y rounded to five decimal places? -0.00001 Let d = -1.49 - 130.51. Let a = d - -132.00117. Round a to 4 dps. 0.0012 Let u = -13 - -17. Suppose 3*o - s = 3*s - 40804, 5*o - u*s = -68004. What is o rounded to the nearest one thousand? -14000 Let d be 40/30 + 41220008/(-6). Round d to the nearest 1000000. -7000000 Let z be (5/(180/24))/(3/(-11380500)). What is z rounded to the nearest 100000? -2500000 Let a = 1.4 - 1.3999907. Round a to five dps. 0.00001 Let v(g) = -69300*g**3 + 2*g - 2. Suppose -1 + 0 = -m. Let h be v(m). Round h to the nearest 10000. -70000 Let j = 11 + -8. Suppose 3*l + 277736 = -2*l - 2*z, 0 = -j*l + 2*z - 166648. Let k = -20548 - l. What is k rounded to the nearest 10000? 40000 Let m = -3181 - -2107. Let j = -1072.8841 - m. Let o = j + -1.11. What is o rounded to three decimal places? 0.006 Let w be (-6)/(-15) - (-12)/(-5). Let y be (0 + w/(-6))*45. Let d be (-12600)/((-18)/y + 1). Round d to the nearest ten thousand. 60000 Let y = 37 + -84. Let z = 35.1764 + 11.796. Let o = z + y. Round o to three decimal places. -0.028 Let n = -4.2009 + -163.9091. Let q = 167 + n. Round q to 0 decimal places. -1 Let c = 49.5 - -10.5. Let p = -47.6 + c. Round p to 0 dps. 12 Let w = 1.1 + -27.1. Let b = w + 26.00000078. What is b rounded to seven dps? 0.0000008 Let g(m) = -6*m - 87. Let h be g(-8). What is h rounded to the nearest integer? -39 Suppose 6*a = 13*a + 11900000. Round a to the nearest 100000. -1700000 Let y = -4867.741 + 2736.92. Let d = -2130.75000066 - y. Let f = d + -0.071. What is f rounded to seven dps? -0.0000007 Let h = -206 + 206.153. Let p = 0.092 - h. Round p to 2 decimal places. -0.06 Let d = 739 - 739.00583. What is d rounded to three dps? -0.006 Let q = 10 + -9.97. Let x = 0.04 - q. Round x to one dp. 0 Suppose 0 = -m + q - 3 + 6, -5*m + q + 23 = 0. Let d = 1510677 - 210677. Suppose -m*h - d = -6*h. What is h rounded to the nearest one million? 1000000 Let p = -42034 - -21034. What is p rounded to the nearest 100000? 0 Let r = 4.274 + -179.425. Let j = -74 + 249. Let q = j + r. Round q to two decimal places. -0.15 Suppose 8*r - 5*t - 315 = 3*r, 0 = 4*r + t - 277. Suppose -3*s - 32 = 2*p - p, -3*p - 2*s = r. Round p to the nearest 10. -20 Let t = -108 + 103.1. Let j = -5 - t. Let m = j + 0.1000032. What is m rounded to 6 dps? 0.000003 Let v = 4.21702 + -1.91681. Let a = 20 + -22.3. Let o = a + v. What is o rounded to 4 decimal places? 0.0002 Let p = 76697709 + -76698045.86901. Let g = 341.3690026 + p. Let w = 4.5 - g. Round w to 6 decimal places. 0.000007 Let b(t) = 2391*t**3 + t**2 - 13*t + 17. Let i = 129 - 110. Let k be b(i). Round k to the nearest one million. 16000000 Let z = 51.46 - 43.6. Let b = z + -7.1. What is b rounded to one decimal place? 0.8 Let y = 471396323 + -470902533.9922. Let p = 493709 - y. Let g = p - -80. Round g to 3 decimal places. -0.008 Suppose -i - 18 = f, -1 = 2*f - 3. Let m be 0 + 2*(3 + -2). Let a = m + i. Round a to the nearest 10. -20 Let r = 32113 - 12913. Let l be (r/(-9))/((-4)/360). Round l to the nearest ten thousand. 190000 Suppose 2017*q - 2029*q + 1430400 = 0. What is q rounded to the n
{ "pile_set_name": "DM Mathematics" }
16)? -14 Let g(x) = 19*x + 4*x + 22*x - 34*x + 59 + 6*x. What is g(-6)? -43 Let u(a) = -a**3 - 154*a**2 - 305*a - 141. Let k be u(-152). Let d(c) be the first derivative of -c**4/4 + 11*c**3/3 + 13*c + 3. Give d(k). 13 Let s(t) be the second derivative of -7*t**4/12 - 5*t**3/6 + 3*t**2 - 12*t. Suppose 2 - 1 = -v. Let i(r) = r**2. Let n(p) = v*s(p) - 6*i(p). Determine n(-5). -6 Let z(y) be the second derivative of -1/6*y**4 - 1/3*y**3 - 48*y - 3/2*y**2 + 0 - 1/20*y**5. What is z(-2)? 1 Let d be (-6)/(-4)*(-2)/3. Let x(v) be the first derivative of v**2 + 169 + v + v**4 + 2/3*v**3. Calculate x(d). -3 Let x be (172/(-12))/((-12)/36). Let a = x - 45. Let i(o) = 2*o**3 + 3*o**2 - 5*o - 5. What is i(a)? 1 Let g(t) = 22*t + 31. Suppose -2 = -m, -3*m = 5*k - 6 + 5. What is g(k)? 9 Let m(g) = -g**2 - 10*g - 2. Suppose -5*y - 20 = 20. Let l be 5*(2/y + 65/20). Suppose 2*n + 3 = -l. Calculate m(n). 7 Let q(r) = -r**2 + r - 48. Suppose 13*m + 4*m = 16*m. Determine q(m). -48 Let w(x) = -5*x - 2. Let s(u) = -21*u - 9. Let o(d) = 2*s(d) - 9*w(d). Let r(b) = -6*b + 37. Let n be r(6). Give o(n). 3 Let t(b) be the third derivative of b**5/12 + b**4/24 + 17*b**2. Suppose 67 + 23 = 45*x. Determine t(x). 22 Let i(s) = s**3 - 6*s**2 + s - 5. Let c be i(6). Let o(a) = 9*a + 2*a + 2*a + 7*a. Give o(c). 20 Let r(l) be the first derivative of l**4/4 + 8*l**3/3 - 11*l + 58. Suppose -71 = -8*s - 135. Give r(s). -11 Let f(i) = -63*i**3 + 1. Let v = -3514 - -3515. What is f(v)? -62 Suppose -29*p - 335 = -132. Let f(a) = a**2 - 7*a + 5. Calculate f(p). 103 Let b = -135666 - -135669. Let s(h) = -6*h + 2. Let l(g) = g**2 - 11*g + 4. Let a(t) = -3*l(t) + 5*s(t). Calculate a(b). -20 Let g(j) = -1 + 570*j**2 + 10*j - 283*j**2 - 285*j**2. Let u be 9 + -1 + (-2 - 11). Give g(u). -1 Let o(d) = d**2 - 30*d + 128. Let t be o(25). Let b(m) = 9*m. Let w(x) be the first derivative of 5*x**2 - 6. Let k(f) = t*w(f) - 4*b(f). Determine k(1). -6 Let o(m) = m**2 + 3*m - 5. Suppose 0 = -3*p + 7*p. Suppose -4*h + 22 - 42 = p. Determine o(h). 5 Let x be 10/(-70) + (-416)/(-21) - 2/(-6). Let a(n) be the first derivative of 1/3*n**3 + x + 0*n**2 + 4*n. What is a(0)? 4 Let i(x) be the third derivative of -x**4/4 + 9*x**3/2 + 2*x**2 + 6*x + 52. What is i(8)? -21 Let t(g) = -92*g - 16 + g**2 + 279*g - 91*g - 98*g. What is t(5)? -1 Let k(b) = -66*b - 2. Let s(h) = -395*h + 77. Let i(t) = -6*k(t) + s(t). Give i(13). 102 Let r(a) = -6*a - 25. Suppose 14*g - 12*g = -4*m - 32, 5*g - 4*m = -10. Calculate r(g). 11 Suppose -153 - 125 = -5*z + 4*c, 4*z - 206 = -5*c. Suppose z*x + 120 = 48*x. Let s = x - -16. Let n(b) = -2*b + 2. What is n(s)? 10 Let q(z) be the second derivative of -z - 1/20*z**5 + 9 - 1/3*z**3 + 0*z**2 + 1/3*z**4. Calculate q(4). -8 Suppose 0 = -985*r + 973*r. Let t(l) = 24*l - 8. Calculate t(r). -8 Let w(a) = -243*a**2 + 1 + 0*a + 239*a**2 + 3*a - a. Give w(2). -11 Suppose -9*m + 3*g + 45 = -7*m, 2*g + 25 = m. Let h be (4/12)/(m/(-90)). Let l(y) = 5*y**2 + 3*y + 3. Calculate l(h). 17 Let y(n) = n**3 - 19*n**2 + 19*n - 14. Let q be y(18). Let i(o) = -12 - 5*o - o + 12*o - q*o. Give i(5). -2 Let c(q) = -27*q + 8 + 7413*q**2 - 14822*q**2 + 7410*q**2. Give c(27). 8 Let a(g) = -g - 10. Let n(p) = -14*p - 28. Let m be n(-12). Suppose -2*j + 149 = 3*w, 3*j - 4*w - 41 - m = 0. Let h = 75 - j. Determine a(h). -18 Let n be ((-27)/(-6))/((-144)/384). Let c(s) = -10*s - s**3 - 2*s - 11*s**2 - 2*s**2 - 10. Give c(n). -10 Suppose 17 = -33*k + 116. Let v(l) = -8*l**2 + 1 - 7*l - l**k - 4 - 3 + 4 + 0. Calculate v(-7). -2 Let g(d) be the second derivative of -d**3/6 + 39*d**2/2 + 1724*d. Calculate g(8). 31 Let p = 71 + -196. Let z = -138 - p. Let x(o) = o**3 + 14*o**2 + 13*o - 1. Give x(z). -1 Suppose 0 = c - q - 27, -c - 3*q + 20 = -15. Let z(g) = -1 - 28*g**2 + g - 33*g**2 + 75*g**2 - c*g**2. Give z(1). -15 Let o(n) = -239*n - 179 + 397*n - 140*n. What is o(11)? 19 Let c(m) = m - 2. Suppose 7*d = -54 - 240. Let r = -42 - d. Suppose 3*i = -r*i + 4*v - 27, -4*i = -3*v + 29. Give c(i). -7 Let y(c) = 12*c + 37. Suppose -3*n + 31*b = 30*b + 6, -4*n = 3*b + 47. Calculate y(n). -23 Let q(l) be the third derivative of l**6/360 + 7*l**5/120 - l**4/4 - 25*l**3/2 - 45*l**2. Let a(c) be the first derivative of q(c). Determine a(-7). -6 Suppose -125*d + 124*d - 4 = 0, 35 = -3*t - 5*d. Let r(n) = -6*n - 34. Give r(t). -4 Suppose -18*j + 26*j = 24. Let n(g) = -147*g - 145*g - j + 294*g. Give n(3). 3 Let k(w) = w - 58. Let y be k(20). Let x = -37 - y. Let z(o) = o - 1 - 4 + o**2 + x + 7*o. Give z(-8). -4 Let n be (-10)/6 + (-8 - -3) + 660/99. Let w(j) = j**2 - 7*j + 1. Give w(n). 1 Let i = -227 - -218. Let y(o) be the third derivative of o**6/120 + 3*o**5/20 - o**4/24 - 4*o**3/3 + 11*o**2. What is y(i)? 1 Suppose -18*k = -7 - 46 + 17. Let d(c) be the second derivative of -2*c + 0*c**3 - 1/20*c**5 - 3*c**k + 5/6*c**4 + 0. Determine d(10). -6 Let v(d) = d + 0*d - 21 - 29 + 53. Calculate v(5). 8 Let h(o) = -133*o - 1. Let v(y) = 23*y - 4. Let i(s) = h(s) + 4*v(s). Calculate i(0). -17 Suppose -3*o + 5 = 2*o, 3*y - 8 = 4*o. Let h(b) = 1 + 5 + b + 5 - y*b + 0. Determine h(6). -7 Let f(t) = -2*t - 3. Let k = 118 - 58. Suppose 5*u = -u + k. Suppose -5*w - u = -0. Give f(w). 1 Let x(q) = 28*q - 36. Let a = -37434 - -37435. Calculate x(a). -8 Let m(z) = -2*z - 24. Let i be (-4 + 5)*1 - (6 + 0). Let j(r) = -r - 12. Let k(h) = i*j(h) + 2*m(h). What is k(-11)? 1 Let r(t) be the first derivative of -t**4/4 + 2*t**3 - 7*t**2/2 + 4*t - 6. Suppose -5 = 34*k - 36*k + 5*p, -20 = -5*k + 5*p. Calculate r(k). -6 Let n(y) = 2*y**2 - y + 47. Let w = 5907 + -5901. Give n(w). 113 Suppose 29*x - 13*x + 160 = 0. Let g = x - -8. Let r be ((-28)/6)/(((-12)/(-9))/g). Let f(v) = -2*v + 7. What is f(r)? -7 Let z be (-2)/2*3/3 - -2. Let o(k) = 4*k - 3. Let t(i) = 5*i - 4. Let c(g) = -3*o(g) + 2*t(g). Determine c(z). -1 Let t = 221195 + -221197. Let n(i) = i**2. Let s(u) = -3*u**2 + 3*u + 3. Let a(v) = 6*n(v) + s(v). What is a(t)? 9 Let s(q) = 115*q**2 - 6*q**3 + 1 - 2*q + 0*q + 1 - 74*q**2 - 42*q**2. Calculate s(1). -7 Let n be (((-48)/18)/(-8))/(-4*1/36). Let s(b) be the second derivative of -b**3/6 - 3*b**2/2 + b. Determine s(n). 0 Let l(c) be the third derivative of c**6/720 + c**5/40 + 287*c**4/24 + 27*c**2 - 4. Let g(n) be the second derivative of l(n). Determine g(-9). -6 Let m(b) be the first derivative of 3/2*b**2 + 1/4*b**4 + 5/3*b**3 - 13 + 4*b. What is m(-3)? 13 Let l = 3375 - 3397. Let i(n) = -n + 8. Give i(l). 30 Let u(h) = h**3 + 43*h**2 + 14*h + 610. Let w be u(-43). Let y(v) = -8*v**2 + 66*v - 13. Calculate y(w). 3 Let v = 18 - 26. Let c(n) = -1 + 6 - 3 - 7 + n. Let w(z) = 5*z - 26. Let r(i) = -11*c(i) + 2*w(i). Calculate r(v). 11 Let q(f) = 14*f + 2. Let l(p) = -8*p - 1. Let w(z) = 2*l(z) + q(z). Let m(h) = -7*h**2 + h + 1. Let i be m(-1). Let k = i - -6. What is w(k)? 2 Suppose -14*t + 648 - 288 = 276. Let r(l) = 3*l + 2. Let f(g) = 7*g + 5. Let m(y) = -4*f(y) + 9*r(y). What is m(t)? -8 Let g(c) = 7*c**2 + 6*c - 3. Let k(w) = -23*w**2 - 19*w + 11. Let n(r) = -7*g(r) - 2*k(r). Let m(t) = t**2 + 2*t. Let o(v) = 5*m(v) + 2*n(v). Give o(6). -26 Let v be 1/((-3)/2)*(-46 - -44)*-18. Let m(s) = 6*s + 140. Calculate m(v). -4 Let k be 42/1155*11 - 254/10. Let j(z) = z**2 + 26*z - 6. Determine j(k). -31 Let t(k) = -10 + 27 - 11 - k - 28. Suppose 0 = d - 2*p + 17, -4*d + 5*p = -0*p + 59. What is t(d)? -11 Let z(v) = v**3 + 10*v**2 - 6*v - 17. Let f(l) be the second derivative of -l**4/12 + l**2/2 + 95*l. Let c(m) = -6*f(m) - z(m). What is c(-5)? 6 Let p(i) = 4*i + 99. Let y(o) = -3*o - 198. Let s(k) = 5*p(k) + 2*y(k). Calculate s(-6). 15 Let y(n) = 2*n**2 - 18*n - 10. Let s = -72 + 75. Suppose -4*z - t + 56 = s*t, -5*z + t = -40. Give y(z). -10 Let p(c) = 14*c**3 - 41*c**2 - 10*c + 8. Let t(d) = -5*d**3 + 15*d**2 + 4*d - 2. Let i(y) = -3*p(y) - 8*t(y). Give i(4). -96 Let n(l) = 2 + l**3 - 473708*l**2 + 2 + 473698*l**2 - 2*l**3 + 11*l. Determine n(-11). 4 Let f(h) = h**3 + 9*h**2 + 7. Let t be f(-9). Suppose 3*g - 5 = 64. Let d(a) = -4*a**2 + 7 - g*a**3 - a + 0 + 11*a**2 + 22*a**3. What is d(t)? 0 Suppose 0 = -5*f - 5*r + 18 - 33, 0 = -5*f - 3*r - 5. Let q(p) = 3*p**2 - 3*p + 1. Determine q(f). 7 Let t(c) = -2*c**2 - c + 210. Let q(p) = 4*p.
{ "pile_set_name": "DM Mathematics" }
30250*o**2/19 = 0. Calculate o. -55, 0, 5 Factor -5*z**3 - 5*z**2 + 10*z. -5*z*(z - 1)*(z + 2) Solve -3*n**3 + 9*n**2 + 30*n = 0 for n. -2, 0, 5 Suppose -k**5 + 6*k**4 - 13*k**3 + 12*k**2 - 4*k = 0. What is k? 0, 1, 2 Factor -4*g**2 + 60*g + 1296. -4*(g - 27)*(g + 12) Factor -2*n**5/15 + 4*n**4/15 - 4*n**2/15 + 2*n/15. -2*n*(n - 1)**3*(n + 1)/15 Let 2*p**2/3 - 40*p/3 + 38/3 = 0. What is p? 1, 19 Solve m**3 - 801*m**2 + 1599*m - 799 = 0. 1, 799 Suppose 3*w**4/5 - 6*w**3 - 3*w**2/5 + 6*w = 0. Calculate w. -1, 0, 1, 10 Factor -5*n**3 - 110*n**2 - 480*n + 1440. -5*(n - 2)*(n + 12)**2 Factor 5*c**3 - 4920*c**2 + 1613760*c - 176437760. 5*(c - 328)**3 Suppose -n**2/7 - 240*n/7 - 711/7 = 0. Calculate n. -237, -3 Let 5*r**5 - 9*r**4 - 42*r**3 - 8*r**2 = 0. Calculate r. -2, -1/5, 0, 4 Factor 5*f**2/2 + 99*f - 40. (f + 40)*(5*f - 2)/2 Factor -44*p**5 + 156*p**4 - 204*p**3 + 116*p**2 - 24*p. -4*p*(p - 1)**3*(11*p - 6) Factor -2*w**3 + 114*w**2 - 2160*w + 13608. -2*(w - 21)*(w - 18)**2 Let 2*i**4 + 12*i**3 - 50*i**2 + 36*i = 0. What is i? -9, 0, 1, 2 What is r in 3*r**2 - 48 = 0? -4, 4 Factor 3*t**3/4 - 21*t**2/2 + 195*t/4 - 75. 3*(t - 5)**2*(t - 4)/4 Solve -c**3/2 - 16*c**2 + 103*c/2 - 35 = 0 for c. -35, 1, 2 Factor -60*k**3 - 39*k**2 + 69*k + 30. -3*(k - 1)*(4*k + 5)*(5*k + 2) Factor 3*g**4 - 22*g**3 + 55*g**2 - 52*g + 12. (g - 3)*(g - 2)**2*(3*g - 1) Let -5*m**3/4 + 5*m**2 + 35*m/4 - 25/2 = 0. What is m? -2, 1, 5 Suppose -305*n**3 + 295*n**2 + 10*n = 0. Calculate n. -2/61, 0, 1 Factor u**3/3 + 10*u**2/3 + 17*u/3 - 28/3. (u - 1)*(u + 4)*(u + 7)/3 Factor i**3 - 132*i**2 + 1652*i. i*(i - 118)*(i - 14) Factor -k**5 - 108*k**4 + 220*k**3 - 2*k**2 - 219*k + 110. -(k - 1)**3*(k + 1)*(k + 110) Factor -2*x**2/15 - 218*x/15. -2*x*(x + 109)/15 Factor -2*o**5/13 - 48*o**4/13 - 402*o**3/13 - 1420*o**2/13 - 2232*o/13 - 1296/13. -2*(o + 2)**3*(o + 9)**2/13 Factor -5*s**2 - 130*s - 345. -5*(s + 3)*(s + 23) Factor -5*q**3/2 - 63*q**2/2 + 48*q - 14. -(q - 1)*(q + 14)*(5*q - 2)/2 Factor -4*s**4/7 - 71*s**3/7 + 18*s**2/7. -s**2*(s + 18)*(4*s - 1)/7 Factor 2*h**2/19 - 6*h + 424/19. 2*(h - 53)*(h - 4)/19 Find k, given that 8*k**5/3 + 52*k**4 - 104*k**3/3 - 452*k**2/3 + 184*k - 160/3 = 0. -20, -2, 1/2, 1 Factor i**2/5 + 11122*i/5 + 30924721/5. (i + 5561)**2/5 Factor 5*q**2 + 840*q + 35280. 5*(q + 84)**2 Factor 123*w**2 - 125*w + 2. (w - 1)*(123*w - 2) Solve 25*p**4 - 130*p**3 + 125*p**2 - 20*p = 0. 0, 1/5, 1, 4 Factor 5*b**4/4 - 1975*b**3/2. 5*b**3*(b - 790)/4 Determine x so that 5*x**2 + 190*x - 1075 = 0. -43, 5 Solve -j**4/2 + 17*j**3/2 + 10*j**2 - 18*j = 0 for j. -2, 0, 1, 18 Factor 2*x**3 - 14*x + 12. 2*(x - 2)*(x - 1)*(x + 3) Find j such that j**2/4 + 26*j - 105/4 = 0. -105, 1 Suppose 3*k**5/2 + 37*k**4/2 - 15*k**3 - 25*k**2 + 27*k/2 + 13/2 = 0. Calculate k. -13, -1, -1/3, 1 Suppose -3*m**5/2 - 12*m**4 + 6*m**3 + 48*m**2 = 0. What is m? -8, -2, 0, 2 What is b in -2*b**2/15 - 598*b/15 + 604/5 = 0? -302, 3 Factor -j**4 - 7*j**3 + 10*j**2 + 16*j. -j*(j - 2)*(j + 1)*(j + 8) Factor -2*l**2 + 42*l. -2*l*(l - 21) Factor 3*m**4/5 + 129*m**3/5 - 414*m**2/5. 3*m**2*(m - 3)*(m + 46)/5 Factor -10*c**2/19 - 1274*c/19 - 508/19. -2*(c + 127)*(5*c + 2)/19 Factor 8*d**3/7 - 42*d**2 - 74*d/7. 2*d*(d - 37)*(4*d + 1)/7 Let -2*c**4 + 18*c**3 - 30*c**2 - 50*c = 0. Calculate c. -1, 0, 5 Determine t, given that -8*t**4 - 58*t**3 - 62*t**2 - 12*t = 0. -6, -1, -1/4, 0 Factor c**5 + 6*c**4 + 8*c**3 - 2*c**2 - 9*c - 4. (c - 1)*(c + 1)**3*(c + 4) Find m, given that 5*m**2 + 2040*m + 208080 = 0. -204 Determine x so that 2*x**2 + 308*x + 7808 = 0. -122, -32 Factor 3*s**3 + 17*s**2 - 54*s + 16. (s - 2)*(s + 8)*(3*s - 1) Factor 2*r**2 - 774*r. 2*r*(r - 387) Let -4*h**4 - 29*h**3 + 25*h**2 + 8*h = 0. What is h? -8, -1/4, 0, 1 Find s, given that -3*s**4 - 4*s**3 + 21*s**2 + 10*s - 24 = 0. -3, -4/3, 1, 2 Let q**2 + 94*q + 184 = 0. Calculate q. -92, -2 Factor -5*r**2/4 + 7*r/8 + 27/4. -(r + 2)*(10*r - 27)/8 Determine v, given that -3*v**3/5 + 132*v**2/5 + 171*v/5 - 324 = 0. -4, 3, 45 Solve 5*t**3 - 40*t**2 + 45*t + 90 = 0. -1, 3, 6 Factor o**4/12 + 7*o**3/6 - o**2/12 - 7*o/6. o*(o - 1)*(o + 1)*(o + 14)/12 Factor 3*v**3 + 54*v**2 - 264*v. 3*v*(v - 4)*(v + 22) Solve 18*p**3/13 - 22*p**2/13 + 4*p/13 = 0. 0, 2/9, 1 What is f in 2*f**2/19 - 30*f/19 = 0? 0, 15 Factor 2*k**4 + 374*k**3 - 1920*k**2. 2*k**2*(k - 5)*(k + 192) Determine q so that -q**4/5 + 6*q**2/5 - 8*q/5 + 3/5 = 0. -3, 1 Factor -5*a**4 - 30*a**3 + 40*a**2 + 30*a - 35. -5*(a - 1)**2*(a + 1)*(a + 7) What is u in 2*u**2 - 32*u - 384 = 0? -8, 24 Determine i, given that i**4/6 + 385*i**3/6 + 64*i**2 = 0. -384, -1, 0 Find k, given that -k**3 + 31*k**2 - 224*k - 256 = 0. -1, 16 Factor -24*n**2 + 609*n - 225. -3*(n - 25)*(8*n - 3) Determine r so that -2*r**2 - 58*r + 504 = 0. -36, 7 Suppose c**5 - 75*c**4/2 - 369*c**3/2 - 379*c**2/2 + 39*c/2 + 63 = 0. What is c? -3, -1, 1/2, 42 Find h such that -3*h**3 - 18*h**2 - 15*h = 0. -5, -1, 0 Factor 3*i**2/2 - 411*i/2 + 2583. 3*(i - 123)*(i - 14)/2 Factor 28*p**2 - 2064*p + 1460. 4*(p - 73)*(7*p - 5) Find y such that 28*y**5 + 160*y**4 - 20*y**3 - 680*y**2 - 368*y + 160 = 0. -5, -2, -1, 2/7, 2 Factor -18*a**3 + 51*a**2 - 48*a + 15. -3*(a - 1)**2*(6*a - 5) Find h such that h**2 - 22*h - 203 = 0. -7, 29 Let -10*t**5 - 34*t**4 + 38*t**3 + 50*t**2 - 28*t - 16 = 0. What is t? -4, -1, -2/5, 1 Let -k**5/2 - k**4/2 + 11*k**3 - 22*k**2 + 12*k = 0. Calculate k. -6, 0, 1, 2 Solve -k**3/5 + 17*k**2/5 - 76*k/5 + 12 = 0 for k. 1, 6, 10 Factor 2*j**2/9 - 2*j/3 - 176/9. 2*(j - 11)*(j + 8)/9 Factor 450*s**4/11 - 3480*s**3/11 - 952*s**2/11 - 64*s/11. 2*s*(s - 8)*(15*s + 2)**2/11 Suppose 4*a**4 - 20*a**3 - 40*a**2 + 80*a + 96 = 0. Calculate a. -2, -1, 2, 6 Factor 2*w**5/3 + 8*w**4/3 - 22*w**3/3 + 4*w**2. 2*w**2*(w - 1)**2*(w + 6)/3 Determine w, given that -w**3/4 - 2*w**2 + 51*w + 108 = 0. -18, -2, 12 Suppose -2*n**2/3 - 40*n/3 - 38/3 = 0. What is n? -19, -1 Factor 2*m**4 + 14*m**3 - 26*m**2 - 86*m - 48. 2*(m - 3)*(m + 1)**2*(m + 8) Solve -3*x**3/4 + 12*x = 0. -4, 0, 4 Factor -3*g**2 + 87*g + 186. -3*(g - 31)*(g + 2) Find i, given that i**3 + 16*i**2 - 19*i - 34 = 0. -17, -1, 2 Factor 3*r**4 - 879*r**3 + 4344*r**2 - 6924*r + 3456. 3*(r - 288)*(r - 2)**2*(r - 1) Determine y so that 3*y**5/4 - 99*y**4/4 + 543*y**3/2 - 1947*y**2/2 - 1089*y/4 + 3993/4 = 0. -1, 1, 11 Factor 2*j**3/3 + 14*j**2/3 + 16*j/3 - 32/3. 2*(j - 1)*(j + 4)**2/3 Find p such that 4*p**5 + 28*p**4 + 76*p**3 + 100*p**2 + 64*p + 16 = 0. -2, -1 Determine q so that q**3 - 8*q**2 + 15*q = 0. 0, 3, 5 Factor 2*h**4 - 336*h**3 + 13770*h**2 + 28900*h. 2*h*(h - 85)**2*(h + 2) Suppose -6*r**3 + 92*r**2/5 - 66*r/5 + 4/5 = 0. What is r? 1/15, 1, 2 Factor -2*l**4 - 516*l**3 - 34794*l**2 - 195048*l - 285768. -2*(l + 3)**2*(l + 126)**2 Determine g so that -46*g**3 - 50*g**2 + 88*g + 8 = 0. -2, -2/23, 1 Find p, given that -3*p**2/5 - 93*p/5 + 306/5 = 0. -34, 3 Factor -z**2/4 + 1539*z/2 - 2368521/4. -(z - 1539)**2/4 Solve 16*t**2 - 668*t - 168 = 0 for t. -1/4, 42 Factor -x**4/4 + 11*x**3/2 - 19*x**2 + 18*x. -x*(x - 18)*(x - 2)**2/4 Factor -3*k**3 + 1551*k**2 + 3111*k + 1557. -3*(k - 519)*(k + 1)**2 Factor 81*w**4 - 6966*w**3 - 14148*w**2 - 9480*w - 2112. 3*(w - 88)*(3*w + 2)**3 Let r**2/6 - 230*r + 79350 = 0. What is r? 690 Factor 6*v**2/7 + 202*v/7 - 68/7. 2*(v + 34)*(3*v - 1)/7 Factor j**3 + 26*j**2/7 + 13*j/7 - 6/7. (j + 1)*(j + 3)*(7*j - 2)/7 Factor -2*c**4/3 + 4*c**3/3 - 2*c**2/3. -2*c**2*(c - 1)**2/3 Find g such that 16*g**4 - 12332*g**3 + 2380842*g**2 - 1780240*g + 296450 = 0. 1/4, 1/2, 385 Find q, given that -52*q**4 + 428*q**3 - 980*q**2 + 724*q - 120 = 0. 3/13, 1, 2, 5 Factor 2*r**4 + 10*r**3 + 4*r**2 - 16*r. 2*r*(r - 1)*(r + 2)*(r + 4) Factor 3*z**3 - 354*z**2 - 3*z + 354. 3*(z - 118)*(z - 1)*(z + 1) What is x in -x**5 + 26*x**4 - 141*x**3 - 364*x**2 - 196*x = 0? -1, 0, 14 Determine c, given that c**3/3 + c**2 - 8*c - 80/3 = 0. -4, 5 Factor 2*q**2/3 - 196*q/15 - 16/3. 2*(q - 20)*(5*q + 2)/15 Factor -3*u**3/5 + 27*u**2/5 - 72*u/5 + 12. -3*(u - 5)*(u - 2)**2/5 Factor -414*x**2/11 - 832*x/11 - 8/11. -2*(x + 2)*(207*x + 2)/11 Factor t**2/4 - t + 1. (t - 2)**2/4 Factor 5*t**2 - 5*t - 30. 5*(t - 3)*(t + 2) What is x in -2*x**5/9 - 2*x**4/9 + 4*x**3/3 = 0? -3, 0, 2 Factor -4*d*
{ "pile_set_name": "DM Mathematics" }
1 - 0)) + 0. Suppose -4 + 0 = -r*g. Solve a = 3*a + g for a. -1 Let w(m) = -10*m**2 + m**2 + 15 + 10*m**2 + 12*m. Let d be w(-11). Solve -11 = -d*g + 1 for g. 3 Let l be 4*(0 - 3/(-12)). Let h = 7 - l. Solve 0 = -2*u + h*u - 12 for u. 3 Let k be (0 + (-4)/6)*3. Let l(a) = a**2 + 5*a - 9. Let x be l(-7). Let m = k + x. Solve m*g - 7*g = 0 for g. 0 Suppose 2*g - 3 - 1 = 0. Suppose -m - 8 = -3*m. Suppose -a = 2*u - 3, 3 = m*u - a + 4*a. Solve -2*b + g = -u*b for b. -2 Let b = -5 - -3. Let s(n) = 2*n**2 + 2*n + 2. Let z be s(b). Solve 3*p - 5*p - z = 0 for p. -3 Suppose -8 - 1 = -3*i. Suppose 2*q + 2 = -w, -3*q = 3*w + 2*q + i. Solve -o + w = 1 for o. 3 Suppose -4*w - 2*i = -0*i + 4, -3*w = 3*i + 9. Suppose t - w - 5 = -k, 4*k = -3*t + 15. Solve -5*z + t - 4 = 0 for z. 1 Let f = -88 + 108. Solve -2*c - 3*c + f = 0 for c. 4 Suppose -3*c + 2*c + 2*v = -9, -2*c + 3*v = -16. Suppose -2*o + c = 1, 0 = 5*l - 5*o. Solve -l*x - 2*x = -16 for x. 4 Let r = -49 + 56. Solve 0 = -a - 3 + r for a. 4 Let x = -30 + 37. Let b be (-4)/2 - (-2 + -5). Suppose -z - g + 7 = 0, 0*z - b*z - 3*g + 27 = 0. Solve z*i + 16 = x*i for i. 4 Let c(y) = -7*y + 34. Let h(b) = -4*b + 17. Let v(w) = 3*c(w) - 5*h(w). Let n be v(8). Solve -f = -4*f + n for f. 3 Let w = -5 - -8. Suppose w*f = 7*f. Let k be ((-4)/10)/(4/(-20)). Solve f*z + 10 = k*z for z. 5 Let y(t) = -t + 1. Let p be y(1). Suppose 4*w + 5*c - 15 = p, -4*c + c + 9 = 0. Solve 5 + w = a for a. 5 Let x be (-2 + 2)/((-5)/5). Suppose 3*z + 1 = -2*m, 2*m = -m - 4*z. Suppose -v = -0 - m. Solve 16 = v*t - x*t for t. 4 Let c be -74 - (-6)/(-9)*-6. Let w be (-34)/(-14) + 30/c. Solve f - w*f = 5 for f. -5 Let k(p) = -2*p - 4. Suppose 0 = w + 2*w + 18. Let f be k(w). Suppose -4*n = -f, 5*a - 2*n = 62 + 9. Solve -c - a = 2*c for c. -5 Let j(m) = -m**2 - 4*m + 5. Let q be j(-4). Solve 4 - 19 = -q*z for z. 3 Let u(w) = 2*w**2 + 5*w. Let d be u(-5). Solve d = 3*v + 2*v for v. 5 Suppose 0 = 4*b - 20. Solve -5*t + 30 = b for t. 5 Let i = -8 - -5. Let a = 0 - i. Suppose 0 = -5*o - t + 24, 7*o - a*o + t - 20 = 0. Solve 3*w - w = -o for w. -2 Let h(f) = f**2 - 15*f - 13. Let t be h(16). Solve 5*b - t*b = 4 for b. 2 Let d = -35 + 51. Solve -b - d = -5*b for b. 4 Suppose v + 1 = 4*i - 10, -2*v + 14 = i. Solve c + v + 0 = 0 for c. -5 Suppose 26*t + 24 = 34*t. Solve t*j - 20 = -2*j for j. 4 Let r = 7 - 4. Solve 6 - 3 = r*m for m. 1 Suppose p - 4*g = 2*p - 12, 3*g = -2*p + 9. Let s be (3/(-4))/((-2)/(-8)). Let n be (s/6*p)/2. Solve n = 5*i - i + 16 for i. -4 Let d(k) = -2*k + 68. Let f be d(30). Solve 5 - f = 3*q for q. -1 Let v be (-1 - 0/(-1))*-5. Let t(u) = u - 1. Let p be t(v). Suppose 2*r = -0*x - 4*x - 4, 0 = 3*x - p*r - 8. Solve -3*z + 22 - 7 = x for z. 5 Let t(l) = -4*l**3 + 1. Suppose -z + 2 = 3. Let a be t(z). Solve a*v + 0 = -5 for v. -1 Let l = 20 - 16. Suppose 24 = l*z - 0*z. Let d = 6 + -4. Solve -d*g = g - z for g. 2 Let k(s) = s**3 + 4*s**2 - 5*s - 4. Let g be k(-5). Let f be -1 - (2 + g*1). Solve 5 - f = -4*a for a. -1 Suppose 0 = -2*n + 6*n - o - 4, -2*o = 8. Let k = -14 + 10. Let q = -4 - k. Solve q = -n*h - h + 2 for h. 2 Let a be (-1)/(-3) - 40/(-15). Solve a*r = r for r. 0 Let j be (-114)/(-266) + 32/7. Solve -q = -j*q + 4 for q. 1 Suppose 3*t - 11 + 8 = 0. Suppose c - t = 2. Solve c*d - 2 = 1 for d. 1 Let w(r) be the first derivative of r**4/12 + r**3/6 - r**2/2 - r - 4. Let k(n) be the first derivative of w(n). Let f be k(1). Solve 5*a + f + 4 = 0 for a. -1 Suppose 0*r = 4*i + 2*r + 6, 26 = i - 5*r. Solve -g - 2 = i for g. -3 Let j(n) = -2*n - 14. Let l be j(-7). Solve k - 2*k = l for k. 0 Suppose -3*g = -g - 2, 0 = -3*z + 4*g + 41. Let y be 3/z - (-12)/15. Let f be (1 + (1 - 1))/y. Solve 0*l = l + f for l. -1 Suppose j = 3*j. Suppose 5*p + 0*p = 10. Solve j = 3*k + p*k for k. 0 Suppose 0*j = -j + 2. Let f be 9*(1/3 - 0). Suppose j*k = -p + 5 + 7, f*k = -2*p + 20. Solve 0 = -p*a - 0 + 12 for a. 3 Suppose -27 = -0*q - 9*q. Solve q*a - 20 = -2*a for a. 4 Let h be ((-24)/15)/((-4)/10). Let a = -1 - -1. Let i = h - a. Solve -i*d + 20 = d for d. 4 Let p be 2/(-7) + (1 - 51/(-7)). Solve -p = -0*l - 4*l for l. 2 Suppose 0 = -0*i + i - 9. Suppose 2*v = -v + i. Suppose s = -v*s. Solve -2*j + j + 3 = s for j. 3 Let f = 8 - 6. Solve f*d = -3 - 1 for d. -2 Let l = -1 - -4. Suppose -b = -j + 2, b - 7 = -2*j + l. Suppose -r - 3*r - 3*v = -28, r - b*v = -4. Solve -3*n = -2*n + r for n. -4 Suppose -29 = -5*l + 2*l + 4*b, -4*b - 20 = 0. Let z = l - 1. Solve -3*u - z*u = -20 for u. 4 Suppose -4*w + 24 = -7*w. Let d = 24 + w. Solve 0 = r - 5*r + d for r. 4 Let a = -96 - -98. Solve -a*n = -5*n + 12 for n. 4 Let k(m) = 2*m**2 + 2*m - 7. Let f be k(3). Solve 0 = 4*c - f - 3 for c. 5 Let r = -1 + 3. Let f(z) = -z**3 - 7*z**2 - 6*z - 5. Let b be f(-6). Let o = -5 - b. Solve o = -r*q + 4*q - 8 for q. 4 Let p(o) = -o - 3. Suppose 9*q - 4*q - 35 = -5*k, -25 = -3*q - 2*k. Let a(x) = 2*x + 8. Let g(r) = q*p(r) + 4*a(r). Let d be g(-1). Solve u + u = -d for u. -1 Let s be (0 - -2)*(-3)/(-2) + 0. Solve s*w - 9 = -0*w for w. 3 Let s(z) = z**3 + 6*z**2 + 5*z - 6. Let w be s(-5). Let m be (-1)/(2 - (-15)/w). Solve -d + 5 = m for d. 3 Suppose -v - 3*v + 20 = 0. Suppose 4*g = v + 3. Solve z = -g*z + 9 for z. 3 Suppose 0 = 2*w + w. Suppose 4*j + w*j = 16. Suppose j*f = 2*f. Solve f = i - 3*i for i. 0 Suppose 12*a - 16*a = -28. Solve 2*k - a - 1 = 0 for k. 4 Suppose 3*j = 2*j. Suppose 2*u + 5*m - 91 + 21 = 0, -3*u - 2*m + 94 = j. Suppose -10 = 5*z - 4*h, 0 = -5*z - 7*h + 3*h + u. Solve -z = -5*i - 17 for i. -3 Let l(a) = 8*a**2 + 1. Let z be l(1). Let k = -6 + z. Solve f - k*f = 2 for f. -1 Let n = 18 - 14. Solve 0 = -n*z + 2 + 14 for z. 4 Suppose 4*l = 6 + 6. Suppose -2*i - 20 = -30. Solve -2*q = l*q + i for q. -1 Suppose -5 = 5*c - 4*c. Let o = c - -7. Solve -2*y - o = -y for y. -2 Let t be -1*((-8)/2 - -2). Solve t*c + 2 = -6 for c. -4 Let x be 1/(-2)*(2 + 2). Let q = x + 4. Suppose -5*d - 10 = 3*o, -o = -q*o - 3*d - 6. Solve o*n = n for n. 0 Let c = 9 + -5. Let o be (0 + 2)/(c/6). Suppose -4*z + 18 = 5*l, o*l + 4 = 4*z + z. Solve -5 - 3 = z*m for m. -4 Let j = 13 + -7. Suppose -2*x + 7 = o, -2*o - 10 = -0*x - 2*x. Let w(m) = -m**2 - 6*m + 4. Let y be w(-6). Solve y = -x*g + j*g for g. 2 Suppose -98 + 100 = l. Solve 5*r = -12 + l for r. -2 Suppose -2*n + 12 = n. Suppose 0 = 3*a + 2*a. Suppose a = 5*f - 5*b + 25, 5*b - 4 - 21 = 4*f. Solve n*t = -f + 8 for t. 2 Let t(a) = -a - 5. Let i(b) = 4*b + 21. Let l(s) = -2*i(s) - 9*t(s). Let p be l(-5). Let y = p + 2. Solve 6 = 3*c - y for c. 2 Suppose 4*h + o = 3*h - 3, h = -4*o - 18. Suppose -h*a = -4*a + 2. Solve 0 = -2*k + a - 3 for k. -1 Let m(j) = 2*j**2 - 7*j + 4. Let z be m(4). Let s be ((-12)/48)/(4/(-32)). Solve s*t + z = -2*t for t. -2 Let u = 91 + -85. Let b(r) = r**3 - 10*r**2 - 13*r - 1. Let m(o) = -o**3 + 9*o**2 + 12*o. Let d(n) = 4*b(n) + 5*m(n). Let k be d(u). Solve -8 = -4*h + k for h. 4 Suppose -w + 6 = 4*w + 3*t, 0 = 3*w + 2*t - 4. Let d = -34 - -38. Solve d*g = -w*g for g. 0 Let h(q) = q + 10. Let w be h(-10). Solve -2*o - 6 - 2 = w for o. -4 Let c be (3 + 21/(-3))*-4. Solve -c = -4*o - 4 for o. 3 Let d be 0/(-1 - (1 - 1)). Suppose -2*k = 3*z - 10, 0 - 18 = -2*k + z. Let t = k - d. Solve -c - c + t = 0 for c. 4 Suppose -5*u + 4*u - 8 = 0. Let v be (u + 4)/(1/(-4)). Suppose -5*p + 9 = -v. Solve 0 = -3*d - 2*d + p for d. 1 Let r(i) = i**3 - 1. Let j be r(-1). Suppose 3*w - 9 = -3*k, -4*w - w = -2*k - 8. Let c = w + j. Solve -3*z + 9 = -c*z for z. 3 Let z = 63 - 38. Suppose 0*d + z = d. Suppose -d = -f - 5. Solve 0 = -s - 3*s + f for s. 5 Let d be ((-44)/5)/((-4)/10). Suppose -5*y + 18 = -d. Let r(a) = -a**2 + 10*a - 11. Let c be r(y). Solve -6 = -c*f + 19 for f. 5 Suppose -8 = 3*z - 2. Let j be (0 - z)*6/4. Suppose -15 = -k - 3*n, 5*k - 2*n + j*n - 61 = 0. Solve 0 = 2*h + 2*h + k for h. -3 Suppose 5*u - 4*j = 16, -4*u + 2*j + 0*j + 14 = 0. Suppose 4*o - o = 2*z - 33, 0 = u*z - o - 51. Solve -4*y + 0 = z for y. -3 Let z(m) be the second derivative of -5*m**3/3 + 2*m. Let x be z(-2). Suppose -n - 4*i - 10 = 10, 2*n - 4*i - x = 0. Solve 2 = l - n*l for l. 2 Let f(t) = t**2 + t - 2. Let u be f(-2). Let l be 10*(u/4 + 2). Let h be (-4)/((-4)/(-6)*-1). Solve -h*n - l = -n for n. -4 Let r(y) = y - 2.
{ "pile_set_name": "DM Mathematics" }
Suppose 170 = 2*n - o. Is n composite? True Let v(j) = -19*j - 6. Is v(-7) prime? True Let k(j) = j**2 + 10*j - 11. Let t be k(-11). Suppose -4*v = -12, t = -0*u + 3*u - 4*v - 9. Is u a composite number? False Suppose 0 = m + m - 22780. Let l be (-2)/(-9) + m/18. Suppose -5*a - 2*i + l = 0, 4*i + i = -2*a + 249. Is a a composite number? False Suppose 4*u - 2*c = 0, 3*u + 0*c - 18 = -3*c. Suppose 0 = -3*d - u*d + 1315. Is d a composite number? False Let t be 2 - (8/2 - 2). Suppose t = -w - 2*w + 30. Is w prime? False Suppose 0 = d - 5*z - 54, 0 = 5*d - 3*z + 2*z - 270. Let v = -38 + d. Let k = 3 + v. Is k a prime number? True Let m = -1271 + 3564. Is m composite? False Let h(n) = 681*n - 5. Is h(2) composite? True Suppose b - 2 = 2*p, 5*p = -4*b - 23 + 5. Suppose 0 = -a - 0 + 4. Is (-34)/b - (-2 + a) a prime number? False Let w be 2/(-5) + 2/5. Let d(v) = -v + 35. Is d(w) a composite number? True Let w(b) = b**3 - 3*b**2 + 5. Let f be w(3). Let q(k) = 82*k - 3. Let h be q(6). Suppose f*v - 3*g = 811, -2*v = -5*v + 3*g + h. Is v composite? True Let n be ((-2)/7)/((-2)/14). Is -3 + -36*(-3 + n) a prime number? False Let q(w) = 2*w**2 + 4*w + 7. Suppose 1 = 4*k + 5. Let h be (7/(-21))/(k/(-15)). Is q(h) a composite number? False Suppose -2*g - g + 1986 = 2*y, 0 = -4*g. Is y composite? True Let j be (-3)/6*(-3 - -79). Let r = j - -181. Is r composite? True Let c(r) = -r**3 - 11*r**2 - 2*r - 7. Is c(-12) a prime number? False Let j be ((-14)/(-21))/((-4)/6). Is (-31)/((-1)/(0 - j)) prime? True Let d(i) = 9*i**2 + 2*i - 3. Let z(o) = o**2 - 2*o - 1. Let r be z(-1). Let t be d(r). Suppose -t + 16 = -n. Is n composite? True Let u(h) = 402*h + 1. Is u(1) a prime number? False Suppose u - 3*b - 258 = -0*u, u + b - 270 = 0. Is u a prime number? False Suppose 0 = -4*c + 72 - 20. Let b = 28 - c. Is b composite? True Suppose 2*z = -2*z + 116. Suppose -4*n + z = -19. Suppose -5*l - n = -397. Is l prime? False Is (3 - 16/2)*-137 a prime number? False Let k(w) = 88*w - 1. Let v be k(-9). Is (-12)/(-24) - v/2 a prime number? True Let h(b) = -8*b**3 - b - 1. Let y = 2 - 3. Let d be h(y). Suppose -5*j = 5*x - 40, d = 5*j - 0*x - 3*x. Is j a prime number? False Let f(p) = -6*p**2 + 2*p - 1. Let q(a) = -a**2. Let m(d) = -f(d) - 6*q(d). Is m(-2) prime? True Let i be 156*(-1)/((-6)/3). Let x = i + -17. Suppose -3*v = 2*j + 3*j - x, -2*j + 43 = -5*v. Is j a composite number? True Let q(v) = 8*v**3 - 5*v**2 - 5. Is q(6) composite? False Suppose 2*o - 2710 = -3*d, -4*d = -2*o - 134 + 2872. Is o prime? True Suppose -2*z - 12 = 52. Let f = z + 69. Is f composite? False Let b = 23 - 36. Is 2/((-2)/b + 0) a composite number? False Let n be 0/(-3)*2/(-4). Suppose n = -0*x + x - 2. Suppose -x*r = -3*r + 89. Is r composite? False Suppose -2*q - 5*z = 1 - 4, 5*z - 4 = -q. Let b(i) = 169*i**2 + i + 6. Let g(y) = 34*y**2 + 1. Let m(p) = -2*b(p) + 11*g(p). Is m(q) composite? False Suppose -31 - 19 = -p. Let i be ((-8)/(-10))/(10/p). Suppose -41 - 11 = -i*y. Is y composite? False Suppose -s + 4*s = -5*x + 381, -4*x - 3*s = -303. Suppose 3*y = 5*y - x. Is y a prime number? False Let b = 12 - 7. Suppose -392 = -b*f + 1253. Is f a composite number? True Suppose -27 - 85 = 4*f. Is (f/(-8))/((-1)/(-34)) prime? False Let w = 6922 + -4685. Is w prime? True Is (2/(-4))/(4/(-1048)) a composite number? False Let s = 177 - 84. Is s prime? False Let f be 5/(-2)*18/(-15). Suppose -5*b + 787 = f*u, -4*b + 449 = -b - 4*u. Is b prime? False Is 16/8 - (-87)/1 a prime number? True Let n be 20*(2 + (-28)/16). Let v(m) = -3*m**3 + m**2. Let o be v(-1). Suppose 4*b = 11 + n, -2*r + o*b + 58 = 0. Is r a composite number? False Let m(a) = a**3 - 4*a**2 - a - 7. Is m(6) a prime number? True Let m(v) = 2*v**2 + 6*v + 7. Let k be m(7). Suppose k = 4*l - 5*q, 5*l - 5*q - 101 = 79. Is l a prime number? False Suppose -6*f = -2*f - 492. Is f a composite number? True Let z = 5 + -14. Let m(n) = n + 19. Is m(z) a prime number? False Suppose 0*z + 9148 = 4*z. Is z composite? False Let a be (-23)/(-3) + (-5)/(-15). Let i be (-96)/(-6)*(-14)/a. Is ((-106)/(-4))/((-2)/i) prime? False Suppose 0 = 2*q - 13 - 57. Is q prime? False Suppose 4*u + 18 = 5*u. Is 3*-1*(-186)/u composite? False Suppose 2*l = -0*p + 3*p - 29, -4*l - 31 = -3*p. Is (2 - 113)*(-33)/p composite? True Let n(g) = 4*g**2 + 0*g - 7 - 7*g - 3*g**2. Let w be n(8). Is (1/w)/((-1)/(-67)) a prime number? True Let x(a) = -a**3 + 4*a**2 + a + 1. Is x(-5) a composite number? True Let n be (36/(-6))/(2/(-4)). Let w be 8/n*(-9)/(-2). Is 87/6 - w/6 a composite number? True Suppose 3*u - c + 401 = -u, -3*u - 312 = -3*c. Let h = u + 145. Let w = h - 27. Is w a prime number? True Let q = 2000 + -1063. Is q a composite number? False Suppose x - 3*m = 72, -34 = -4*x - 2*m + 212. Is 7/((-3)/x*-3) composite? True Let b be ((0/(-3))/(-3))/1. Suppose 5*d - 47 - 608 = b. Is d composite? False Let z = -2506 - -3815. Suppose 0*j - 3*v = -5*j + 2143, -3*j + z = 4*v. Is j a prime number? True Suppose 0 = -5*k + 3*k + 502. Is k composite? False Suppose -4 = -0*k - 2*k. Suppose -k*f + 1038 = 40. Is f prime? True Let h = 11 + -7. Suppose -241 = -5*o - 2*s, 0 = -2*o + h*o - 3*s - 104. Is o prime? False Let w be -3 - -5 - -1*2. Is 7 + w + -3 + -1 prime? True Let s be (2 + -3)*(-21)/(-3). Let d = s - 8. Is (5/d)/((-1)/267) prime? True Suppose 5*l - l - 40 = 0. Suppose 6 = 6*t - 3*t. Suppose 20 + l = t*a. Is a a prime number? False Let c = -296 - -197. Let s = 173 + c. Is s a prime number? False Let y(w) = 2 + 0*w**3 + w**3 + w - 3*w + 6*w**2. Is y(-5) a prime number? True Is 710/4*36/45 composite? True Let v(s) = 258*s + 5. Is v(7) composite? False Let a = 4 - -1. Let r = a - 1. Suppose 3*b + 77 = s, -4*s - r*b + 248 = -b. Is s prime? False Let r = -249 - -447. Suppose -3 = -3*u + r. Is u prime? True Let d = 143 - 53. Let w = d - 25. Is w a prime number? False Let n(o) = -3*o**2 + 10*o - 7. Let k be n(6). Suppose -187 - 206 = 3*d - h, -h = -2*d - 261. Let z = k - d. Is z prime? False Suppose 4022 + 1038 = 5*w. Suppose 7*z - 3*z = w. Is z composite? True Suppose 0 = -2*m + 2, 3*w = -4*m + 10225. Is w a composite number? False Suppose -10*j + 4*j + 1194 = 0. Is j composite? False Suppose -6*b + b = 0, u - 2*b = 445. Is u a prime number? False Let u(k) be the first derivative of -k**4/4 + 5*k**3/3 + 5*k**2/2 - 5*k - 1. Let q be (6/4)/((-18)/(-48)). Is u(q) a composite number? False Suppose 2*m = 4*m + 6. Let v = m + 7. Suppose v = -5*b + 19. Is b composite? False Let m = -830 - -1311. Suppose m = 5*j - 69. Suppose -2*s = -0*s - j. Is s prime? False Let q(n) = 2*n**2 + n + 2. Let h be q(2). Suppose -y = -p, 0*p - y = 2*p - h. Suppose 3*a = p*a - 2. Is a a composite number? False Let m(q) = -q**2 + 4*q - 4. Let y(j) = j**2 - 4*j + 3. Let u(w) = 2*m(w) + 3*y(w). Is u(-4) composite? True Suppose 0 = 5*g - 1179 - 356. Is g a prime number? True Suppose -2*x + 4*j + 187 - 53 = 0, 0 = 4*x + 3*j - 268. Suppose -3*b = -4*s - x, 2*b + s - 54 = 6*s. Let d = 32 - b. Is d composite? True Let d be 12/(-4)*10/2. Let i = d + 26. Is 1 + (2 - 1) + i a prime number? True Is (-3)/7 + (-3304)/(-49) prime? True Let m(d) = 12*d**3 + d**2 + d. Let o be m(-1). Let j(a) = -a**3 - 12*a**2 - 10*a + 11. Is j(o) composite? False Suppose 3*g = -4*k + 6, -3*g + 3*k = -43 + 16. Is (47/(-2))/((-3)/g) a composite number? False Let s be (-3)/1*(-40)/(-15). Is (-2)/s - 11/(-4) a prime number? True Suppose 2*c = 187 - 1. Is c prime? False Let v(a) = a**3 - 6*a**2 + 3*a - 10. Is v(8) composite? True Let r(j) = 7. Let p(w) = -w + 6. Let c(n) = -5*p(n) + 4*r(n). Is c(3) composite? False Let l be 17 + (-2 - (-3 - -4)). Is 2*l + (6 - 3) prime? True Let n(b) = b**2 + 3*b + 3. Let v be n(-3). Suppose 3*r - 638 = 115. Suppose -r = -2*x + 3*h, 2*h = v*x + 102 - 481. Is x prime? True Let f(b) = -130*b**3 + 4*b**2 + 7*b + 7. Is f(-2) composite? False Suppose -3*g = g - 228. Let r = g + -32. Is r a composite number? True Let j(z) = -2*z - 2. Let v be j(-5). Suppose 17 = 5*o - v. Suppose -170 = -o*m + 5*t, 3*m = -m - 3*t + 143. Is m a prime number? False Let g(i) = -13*i - 3. Is g(-10) a composite number? False Let y = -44 + 201. Let g = -3 - -5. Suppose -6*j = -3*l - j + y, g*l = j + 100. Is l a prime number? False Let c(r) = r**2
{ "pile_set_name": "DM Mathematics" }
of -47/4538 and -35/5564? 12624716 What is the common denominator of 131/75776220 and 55/214968? 151552440 Find the common denominator of 87/2312 and -81/7168. 2071552 What is the common denominator of -151/29072736 and -131/367080? 145363680 Calculate the smallest common multiple of 76146 and 243830. 250901070 What is the lowest common multiple of 1510 and 32974? 24895370 Calculate the common denominator of 21/238792 and -69/19998830. 79995320 What is the smallest common multiple of 1612 and 414596? 12852476 What is the least common multiple of 800 and 428370? 34269600 What is the common denominator of 79/4 and -51/1349979652? 1349979652 Find the common denominator of -83/11025 and 67/166425. 3494925 What is the common denominator of -5/21 and -41/199498485? 1396489395 What is the common denominator of -71/4092 and 73/96584? 98805432 Calculate the smallest common multiple of 170 and 28222. 2398870 What is the common denominator of 41/374965 and 31/836? 16498460 Calculate the least common multiple of 3515055 and 267. 3515055 What is the least common multiple of 114 and 3042432? 3042432 Calculate the common denominator of 59/460 and -35/4709664. 23548320 Calculate the common denominator of -21/124919780 and -131/30. 374759340 What is the smallest common multiple of 806 and 9790482? 9790482 Find the common denominator of -89/51642 and -34/8891031. 53346186 What is the least common multiple of 2724050 and 430? 2724050 What is the common denominator of 16/1234905 and 117/1330? 2469810 What is the smallest common multiple of 84555510 and 209? 930110610 Calculate the least common multiple of 3190 and 94740. 30222060 Calculate the common denominator of 185/11466 and -22/4557. 355446 What is the smallest common multiple of 20688 and 398736? 171855216 What is the smallest common multiple of 7064 and 5760? 5086080 Find the common denominator of 37/32766160 and 33/7. 32766160 Find the common denominator of 65/107973 and -13/183954. 4966758 What is the lowest common multiple of 440256 and 84? 3081792 What is the lowest common multiple of 12050 and 612140? 3060700 Calculate the common denominator of 15/474131 and 6/474131. 474131 What is the lowest common multiple of 1877826 and 6? 1877826 What is the least common multiple of 703534 and 351767? 703534 Calculate the least common multiple of 7822264 and 37131. 23466792 Calculate the lowest common multiple of 4745592 and 399. 33219144 What is the least common multiple of 1394187690 and 22? 15336064590 Calculate the smallest common multiple of 27335728 and 114856. 27335728 What is the smallest common multiple of 42856436 and 10511956? 557133668 Calculate the least common multiple of 130434392 and 304. 260868784 What is the lowest common multiple of 60149817 and 220329? 60149817 Find the common denominator of -37/9 and 133/9823710. 29471130 Calculate the common denominator of -113/6468168 and 11/364065456. 2548458192 Calculate the least common multiple of 10476480 and 1496640. 10476480 Calculate the smallest common multiple of 117 and 11047149. 143612937 Calculate the common denominator of -61/12756 and 69/2427892. 7283676 Calculate the least common multiple of 1143980 and 39810504. 199052520 What is the common denominator of 17/640 and 13/62832? 2513280 Calculate the smallest common multiple of 122754 and 771. 31547778 What is the common denominator of 59/144 and -53/87618768? 262856304 Find the common denominator of 97/30 and -169/24764040. 24764040 What is the least common multiple of 40 and 1211280? 1211280 Calculate the common denominator of 113/36615150 and -133/29700. 219690900 Calculate the lowest common multiple of 41820208 and 26137630. 209101040 What is the common denominator of -44/3045 and 50/6699? 33495 Calculate the least common multiple of 7835210 and 1030. 7835210 Calculate the common denominator of 6/35 and -62/919135. 919135 Calculate the smallest common multiple of 9769338 and 220776. 39077352 Calculate the lowest common multiple of 10665 and 238185. 714555 Calculate the common denominator of 47/10584 and -157/1644888. 103627944 Calculate the common denominator of 95/48608 and 49/6172. 75002144 Calculate the common denominator of 3/5431352 and 9/9136. 10862704 Calculate the least common multiple of 16186215 and 246030468. 1230152340 What is the smallest common multiple of 860979474 and 18? 860979474 Calculate the common denominator of -45/8092 and 77/5317600. 37223200 What is the lowest common multiple of 7702550 and 50800? 61620400 Calculate the lowest common multiple of 15178583 and 6913018. 698214818 What is the common denominator of -1/9082528 and 23/18165056? 18165056 Calculate the common denominator of 67/21 and -41/58634871. 410444097 Calculate the least common multiple of 61608 and 1338. 13738584 Calculate the common denominator of -29/84700 and -57/36329524. 908238100 Find the common denominator of -91/1280 and -43/38000. 608000 Calculate the lowest common multiple of 183211448 and 117368. 183211448 Calculate the least common multiple of 170866 and 54427. 251343886 Calculate the smallest common multiple of 356217908 and 18. 3205961172 Calculate the smallest common multiple of 37008509 and 9467293. 407093599 Calculate the common denominator of 23/26946 and 41/45837. 137235978 Find the common denominator of 49/45036 and -83/83564298. 167128596 Calculate the common denominator of 2/105919139 and -59/3681. 953272251 Find the common denominator of -11/5042688 and 131/746112. 146237952 Find the common denominator of -91/20 and 3/340068100. 340068100 Calculate the least common multiple of 17 and 545758. 9277886 Calculate the common denominator of -119/27742 and 105/2312. 32069752 Calculate the least common multiple of 1897830 and 67095. 13284810 What is the least common multiple of 14134769 and 5139916? 56539076 Find the common denominator of -11/6 and -2/5157243. 10314486 What is the common denominator of -121/812298 and -24/10695257? 64171542 What is the least common multiple of 856 and 18300852? 36601704 What is the least common multiple of 65596 and 2715886? 168384932 Calculate the common denominator of 123/3688594 and -11/1729. 70083286 What is the least common multiple of 19 and 11108? 211052 Find the common denominator of -47/20 and -59/68017358. 680173580 Calculate the common denominator of 57/286 and -83/618706. 8043178 Find the common denominator of -113/102294 and -89/3716682. 11150046 What is the lowest common multiple of 158874300 and 21? 1112120100 Calculate the common denominator of -7/237456 and -31/6732. 2612016 What is the lowest common multiple of 3 and 59427933? 59427933 Find the common denominator of 19/85885107 and -83/31230948. 343540428 Calculate the common denominator of 121/504 and -53/130992. 2750832 Find the common denominator of 20/9 and 23/40268090. 362412810 Calculate the smallest common multiple of 7160 and 20328. 18193560 Calculate the lowest common multiple of 3024560 and 27496. 3024560 Calculate the common denominator of 1/15520 and 103/1871712. 9358560 What is the smallest common multiple of 151120 and 3868672? 19343360 What is the smallest common multiple of 234755 and 33757769? 168788845 Calculate the least common multiple of 5546913 and 121. 671176473 Calculate the common denominator of 23/121686 and 125/53856. 64250208 What is the smallest common multiple of 44580382 and 16211048? 178321528 What is the smallest common multiple of 43656 and 35768? 11481528 Calculate the smallest common multiple of 21491470 and 188936. 85965880 Find the common denominator of 47/3363 and -1/5240979. 309217761 What is the common denominator of -15/3152 and 79/9992? 3936848 Find the common denominator of 143/89071104 and 26/27. 801639936 Calculate the least common multiple of 30 and 49738662. 248693310 Calculate the smallest common multiple of 554756 and 104. 14423656 What is the common denominator of 89/3580 and 11/2620560? 2620560 What is the smallest common multiple of 31045916 and 106504? 62091832 Calculate the smallest common multiple of 384750 and 1453500. 13081500 Find the common denominator of -79/17522032 and -32/6641. 4012545328 Find the common denominator of -11/15456 and -101/3744. 602784 Calculate the smallest common multiple of 1268489 and 2573. 1268489
{ "pile_set_name": "DM Mathematics" }
*v + 0*v) as g*v**2 + a + o*v + w*v**3 and give w. -5 Express (r**2 - r**2 - 2*r**2)*(2*r + 4*r - 5*r) + 8055*r**3 - 13281*r**3 - 804*r**2 + 57295*r**3 + 804*r**2 as y*r + j*r**3 + h + s*r**2 and give j. 52067 Express 33443 + 694*f - 109*f - 33443 in the form r*f + z and give r. 585 Rearrange 0*q**2 - 12*q**4 - 46 + 51 - 25015*q**3 + 25014*q**3 + q - q**2 to c*q**3 + u*q**4 + l*q + o + j*q**2 and give u. -12 Express 101 + 758 + i**3 + 8*i**4 + 14*i**4 - 23*i**4 + 427 as t*i**4 + l + m*i**2 + b*i**3 + o*i and give l. 1286 Express -169*h**2 + 302*h**2 - 1137*h**2 in the form b + f*h + y*h**2 and give y. -1004 Express (-47 - 103 + 16)*(-15 - 5 + s**2 + 24) in the form p*s + m + j*s**2 and give j. -134 Rearrange f + 11*f**3 + 17*f**2 - 34*f**2 + 5*f**2 + 29*f**2 - 1 - 2*f**3 to the form u*f + q*f**2 + w + y*f**3 and give u. 1 Express 608*q**2 - 2665*q**2 - 1131*q**2 - 2282*q**2 as r + l*q**2 + o*q and give l. -5470 Rearrange -1362*i + 710 + 1355*i + 1543 to the form c + k*i and give k. -7 Rearrange (-6 + 0 + 0)*(441 - 695 + p + 409) to o + h*p and give o. -930 Express (2 + 2*m - 2)*(2*m**3 + 0*m + 0*m) - 245*m**4 + 157*m**4 + 2 - 339*m**4 as w*m + r + y*m**3 + q*m**4 + h*m**2 and give q. -423 Rearrange -2*h + 3 - 3 + (2*h - 6*h - 12*h)*(-6 - 3 + 8)*(7 - 6 + 29) to the form s*h + b and give s. 478 Rearrange (23 - 23 - 8*q**2)*(2 - q - 2) - q**3 - 2*q**3 + 4*q**3 + 2*q**3 - 4*q**3 + 6*q + 6*q**3 + 1 to the form z*q + o + h*q**3 + m*q**2 and give m. 0 Express (-3*c + 2*c + 2*c - 2*c - 3 + 3 + (5*c - 2*c - 2*c)*(-2 + 0 + 3) + c - c + 2*c - c + 3*c - c - c - 4*c + 0*c)*(6 - 2 + 7) as f*c + o and give f. -22 Express -8349*i**4 - 3 - 11*i**3 + 16635*i**4 - 7*i**3 - 2*i - 8317*i**4 as h + f*i + w*i**3 + s*i**4 + m*i**2 and give f. -2 Express -23*c**3 + 19*c + 19*c - 26*c - 3*c**2 - 8*c**2 + 10*c**2 in the form w + d*c**3 + x*c + r*c**2 and give d. -23 Rearrange -3*b**3 + 4*b**3 + 3*b**3 + (-b**2 + 2 - 2)*(0*b - 4*b + 2*b) - 8*b**3 - 15*b**3 - 23*b**3 to the form w + u*b**3 + c*b + p*b**2 and give u. -40 Express 18*d**2 - 1125 - 2781 - 3*d**2 - 16*d**2 as o*d**2 + r*d + z and give o. -1 Express -214*w + 204*w - 31545*w**3 - 2*w**4 + 31567*w**3 - 5 in the form i*w**2 + d + k*w**3 + a*w**4 + j*w and give d. -5 Rearrange 252*o**3 + 242*o**3 - 484*o**3 - 134*o to h*o**3 + t + c*o**2 + l*o and give l. -134 Rearrange (-194*w - 86*w - 9*w)*(2*w**2 - 10 + 10) + 14*w**3 - w**3 - 3*w**3 to the form p + a*w + t*w**3 + g*w**2 and give t. -568 Express (5 + 0 - 3 + (-2 + 0 + 3)*(-1 - 2 + 4))*(6487*z - 6486*z - 4906 + 4887) in the form d + w*z and give d. -57 Rearrange -517*r - 5728*r - 14173*r to g + w*r and give w. -20418 Express -6*b**4 + 88 - 6*b**4 + 11*b**4 + 482 + 2*b**2 + 57 as c*b + w + m*b**4 + p*b**3 + h*b**2 and give m. -1 Express -44*n**2 - 2067*n**3 + 14*n**2 + 17*n**2 + 23*n**2 in the form o*n + c*n**2 + i + u*n**3 and give u. -2067 Express 3*r**3 + 86*r - 56 - 20*r**4 + 88*r + 53 - 13*r**4 - 175*r as c*r**2 + f*r**3 + z + w*r + q*r**4 and give w. -1 Rearrange -62*w**3 + 52*w**3 - 2*w**2 - 3*w + 1 + 1 + 13*w**2 - 13*w**2 to the form z + l*w + p*w**2 + y*w**3 and give z. 2 Rearrange -2*v**3 + 88*v + 3 - 2 + 6 - 43*v - 48*v + 8*v**2 to m + j*v**3 + k*v**2 + l*v and give m. 7 Rearrange 1145 - 338 + d + 2*d - 4*d to the form w + p*d and give p. -1 Express 16*v**2 - 36*v**2 + 12*v**2 + 108*v**3 + 6*v**2 - 2 + 831*v**3 in the form i + u*v**2 + m*v + p*v**3 and give p. 939 Express (0 - 1 + 2*o**3 + 3*o + 3)*(124030*o - 272 - 62013*o - 62018*o) as t*o + i*o**2 + m + p*o**3 + u*o**4 and give u. -2 Express (0 - 4 + 11)*(-3*i - 3*i + 7*i) + (-71 - 293 - 423)*(-3 + 2*i + 3) in the form j + a*i and give a. -1567 Express (729 + 509 - 365)*(3 - 3 - 3*i + i)*(0 - 3 + 0) in the form m*i + d and give m. 5238 Express -587 - 3*z - 265 - 337 + 182 - 9 as p*z + n and give n. -1016 Express 37*c**2 - 66*c**2 + 30*c**2 - 79 + 29*c**3 + 27*c**3 - 61*c**3 + c as w*c**2 + q*c**3 + z*c + g and give q. -5 Express -72 - 27*u**3 + 25 + 4*u - 26 + 22*u**3 in the form p*u**3 + g*u + m + n*u**2 and give m. -73 Rearrange 7005*l**2 - 3285*l**2 + 14*l + 5849*l**2 - 14*l to j + a*l + x*l**2 and give x. 9569 Express -8348*j + 6380 + 16695*j - 8346*j in the form c + l*j and give c. 6380 Express 7*w**2 - 14426 + 14426 + 51*w**3 - 3*w as p + c*w**2 + d*w + u*w**3 and give c. 7 Rearrange 0*x + 5817*x**3 + 5*x**2 - 5781*x**3 + x to c*x + p + w*x**2 + q*x**3 and give c. 1 Express 53968*j**4 - 1 + 3*j + j - 26977*j**4 + 10 + j**2 - 26976*j**4 in the form z*j**4 + d*j**3 + m + l*j + q*j**2 and give m. 9 Express 38 + 5*d**2 + 8 + 32 + 7*d**2 - 3 as u*d**2 + z*d + r and give u. 12 Rearrange -40312*u**2 + 43693*u**2 + 3*u - 3*u to the form v*u + f*u**2 + y and give f. 3381 Express (5 - 5 - z)*(-2957*z - 2971*z + 399 + 5913*z - z**2) in the form m*z**3 + g + h*z**2 + p*z and give h. 15 Rearrange 118*h - 82*h - 99*h**3 - 783 + 783 to the form d*h**3 + o + b*h + f*h**2 and give d. -99 Express 257*s + 249*s - 737*s + 99 + 243*s in the form k + l*s and give l. 12 Rearrange (-12 + 3 + 29)*(-689*l + 362*l - 8*l**3 + 355*l) to the form t*l**2 + z*l + s + q*l**3 and give z. 560 Express -65291 + 32699 + 32653 - 55*m as t + q*m and give q. -55 Express 1339 - 41614*f**2 + 83229*f**2 - 41617*f**2 in the form a + s*f**2 + b*f and give a. 1339 Rearrange 10*f**4 - 18*f - 3 - 5*f - 4*f**2 - 19*f + 2*f**3 - 8*f**4 to the form s*f**2 + x*f**3 + t + b*f + g*f**4 and give g. 2 Express (6*l + 49*l - l)*(-149 - 4 + 62)*(-1 + 2 - 2)*(3 - 1 + 2) in the form w*l + k and give w. 19656 Express -14*d**2 + 3 + 5*d**2 + 3*d + 11*d**2 + 0*d + 0*d + 3*d**2 - d + (-3*d - 1 + 1)*(5 + 4*d - 5) in the form o*d + v + w*d**2 and give v. 3 Express (5*c - 3*c + 0*c)*((-3 - 1 + 2)*(-2 - 4 + 4) - 2865 + 5666 + 5609) as a*c + g and give a. 16828 Rearrange 471 + 473 - 640*c - 1411 + 468 to the form f + k*c and give k. -640 Rearrange 279*q + 146605*q**2 + 2*q**3 - 35*q - 146603*q**2 - 2 to the form r + o*q**3 + f*q**2 + x*q and give r. -2 Express -57*w**2 + 25*w - 17*w**2 + 23*w**2 - 21*w**2 in the form f*w**2 + t + l*w and give f. -72 Express (-9*b + 42*b + 17*b)*(-3 + 0 + 1)*(2 - 2 + 2)*(-2 - 2 + 1) as d*b + f and give d. 600 Express -1 - 42*f - 8 + 10 - 2 - 2 in the form b*f + w and give b. -42 Express -8270*b**4 + 29263*b**4 - 9051*b**4 + (2*b**3 - 3*b + 3*b)*(b + 1 - 1) as r*b**4 + i*b + h + x*b**3 + w*b**2 and give r. 11944 Express 41*r**2 - 49*r**3 + 137 - 19*r**2 + r + 48*r**3 - 19*r**2 in the form x*r**3 + j*r + q*r**2 + m and give j. 1 Express -73*n - 2*n**3 - 165*n**2 - 14*n + 3 + 334*n**2 - 6 - 167*n**2 in the form d*n**2 + p + s*n + b*n**3 and give b. -2 Rearrange 5*m**2 - 1865*m**3 + m**2 + 10 - 7*m**2 + 3*m**2 + 1852*m**3 to n*m**3 + l*m**2 + i*m + y and give l. 2 Express (-3*j**2 - j + j)*(-7 + 209*j + 7) + (4*j**2 - 3*j**2 - 3*j**2)*(1 - 1 - j) in the form h*j + g*j**2 + y + k*j**3 and give k. -625 Rearrange -8708*y - 12 + 12 + 3823*y to m + p*y and give p. -4885 Express -39*h - 5*h**2 - 102*h + 302*h in the form q*h + d + i*h**2 and give q. 161 Express 64*l + 965*l + 1117*l - 342*l in the form t*l + j and give j. 0 Express -8101*p - 6414*p - 485*p + 3182*p as j + u*p and give u. -11818 Express 321*g + 481*g + 4439*g + 833*g in the form m + k*g and give k. 6074 Express 1 - 9 + 178*q**2 - 21*q**2 - 20*q**2 as k*q + v*q**2 + l and give v. 137 Express -472*k**3 - 460*k**3 + 6*k**2 - 2*k - 6 + 2*k**2 + 931*k**3 as x*k + t + a*k**2 + o*k**3 and give t. -6 Express -132*d - 129*d - 48*d**2 - 132*d - 141*d + 512*d in the form h + x*d + n*d**2 and give x. -22 Express 146 + 1430*n - 134 - 12 + 2*n**2 in the form v + j*n + h*n**2 and give j. 1430 Rearrange (10*q + 5*q - 8*q)*(7*q**2 + 43 + 27 - 28*q - 71) to the form c + v*q + b*q**2 + s*q**3 and give v. -7 Express -1020 + 9*m**2 + 51 - 656 - 11*m**2 - 138 in the form w*m + t*m**2 + o and give t. -2 Express (0 + 13*b + 0)*((4*b - 6*b + 3*b)*(3 + 0 - 4) + 4*b - b - 4*b - 10707 - 132*b + 10707) in the form a*b**2 + f*b + r and give a. -1742 Rearrange (-3*n + 5*n + 0*n)*(-5 + 5 - 8)*(5517 - 5506 - 15*n - n) to a + b*n + x*n**2 and give b. -176 Express (64*z**3 - 664*z**2 + 664*z**2)*(-49*z + 100*z - 46*z) - 17*z**3 + 6*z**4 + 17*z**3 as k + x*z**2 + h*z**4 + w*z + q*z**3 and give h. 326 Expres
{ "pile_set_name": "DM Mathematics" }
-k for h. -5 Let k = -1698 - -1808. Solve 112 = -b + k for b. -2 Let u(h) be the third derivative of -h**4/24 + h**3/6 - 2*h**2. Suppose 3*z = -g - 12, -8 = -0*z + 2*z + g. Let x be u(z). Solve 0 - 20 = x*i for i. -4 Let f be (-94)/(-10) + (-2)/5. Suppose f = 3*d + 3. Let n(j) = -2*j**2 - 6*j + 140. Let o be n(-10). Solve o = d*v + v + 15 for v. -5 Let i = -334 - -365. Solve 0 = -4*g - i + 39 for g. 2 Let l(j) = -j**2 + 6*j + 32. Let n be l(15). Let t = n - -107. Solve v - 5 = -t for v. 1 Let i be (-418)/(-99) + (-4)/18. Let u = -13 + 10. Let x = u + 7. Solve -4*r = x + i for r. -2 Let s be (((-25)/(-2))/5)/(10/24). Solve -18 = s*x - 0*x for x. -3 Suppose -n = -4*b + 91, 4*b - 9*n + 4*n = 103. Solve b = -10*h - 18 for h. -4 Let s(w) = -w**3 - w**2. Let f be s(-2). Suppose -2*p + 3*x = 3*p, -3*p = f*x - 29. Solve j - p*j = 0 for j. 0 Let q(t) = -t**2 + 4*t + 8. Let j be q(5). Solve 3 = -j*c - 0*c for c. -1 Let v be 0 - 1 - (3 + -51). Suppose 0 = -5*s - l + v, -s = -0*s + 3*l - 1. Solve 0 = x + x - s for x. 5 Let f(v) = -2*v + 0 - 2 + 3*v. Let q be f(8). Suppose t = q*t - 80. Solve -2*j = 2*j - t for j. 4 Suppose -4 = -8*r + 6*r. Suppose n + 4*n - 13 = r*z, 0 = n - 4*z - 17. Solve 0*w = -w - n for w. -1 Let d be (-120)/(-48)*((-12)/10 - -2). Let b be (-6 + -6)*(d + (-21)/9). Solve 0 = 3*j - 2 - b for j. 2 Let d(z) = -2*z + 13. Suppose -6*t = -4*t - 10. Let v be d(t). Solve c + 1 = -v for c. -4 Let s(p) = -p**2 + 15*p - 35. Let f be s(10). Suppose 2*j = j + 3*b + f, -5*j + 2*b = -36. Solve 9*v - 15 = j*v for v. 5 Suppose -5*r + 42 = -38. Solve u = 5*u - r for u. 4 Suppose 0 = -3*u - 3*s + 45, -u + s = 4*s - 11. Suppose -16*w = -u*w. Solve h + w = -2 for h. -2 Let t = 18 - 8. Suppose -6*a + 4*a = -t. Solve -a*c = -c + 12 for c. -3 Suppose -2*u + 4*u = -7*u. Suppose u = -23*f + 22*f + 12. Solve -3*r = -f - 3 for r. 5 Let i(p) = -p**3 + p - 12. Let x be i(0). Let l be (1 + -10)*4/x. Suppose -w - l*w = -24. Solve -w - 9 = -3*h for h. 5 Suppose -5*s = z - 18, 5*s = 2*z + 2*s + 16. Let h(k) = 2*k + 1. Let f be h(z). Let n be ((-8)/f)/(6/9). Solve i + 1 = -n for i. -5 Let k be -1 + (-3)/(-12) + 309/12. Solve -29*l + k*l + 4 = 0 for l. 1 Suppose -3*y + 4*b = -b - 172, 2*b - 88 = -2*y. Solve 0 = -k + 45 - y for k. -4 Let d be 20/(-4) + 12 - (1 + 0). Solve -d*y = 2*y - 0*y for y. 0 Let l(z) = -z**3 + 9*z**2 - 7*z - 11. Let h be l(8). Suppose o = 3*o + 6. Let u = h - o. Solve u*f = -5*f - 15 for f. -3 Let l be (0/(-3 - -7))/((-8)/(-4)). Solve l = z + 3*z - 20 for z. 5 Let q(x) = x + 11. Let n be q(-8). Suppose -1 + 3 = n*g - 2*v, g - v - 1 = 0. Let j be g + 3/(12/16). Solve -j*o + 25 = o for o. 5 Suppose -2*f - 2*f + 4*d + 4 = 0, 0 = -3*d + 3. Solve -4 = -f*v + 3*v for v. -4 Suppose -2*i - 7 = 3*b + 4, 0 = -5*b + 5*i + 15. Let l(f) = -2*f**3 - f**2 - 3*f - 1. Let t be l(b). Solve h = -t*h for h. 0 Let p(v) = -4*v + 16. Let n be p(7). Let a = n + -1. Let f = -10 - a. Solve f*l = 5*l + 10 for l. -5 Let j be (6/(-8))/(9/180). Let q be 7 - 20/j*-3. Suppose 25 = q*o + 2*o. Solve 7*i = 2*i - o for i. -1 Let r(g) = 2*g**2 + 26*g + 4. Let t be r(-13). Suppose t*y + 22 = 15*y. Solve 6 = y*c + 2 for c. 2 Let h be -21*(-8)/(-12)*2. Let a be 4/h + (-492)/(-14). Let o = a - 32. Solve t + 1 = -o for t. -4 Suppose -4*p + 2*g + 2*g + 4 = 0, 22 = 4*p + 5*g. Solve p*j - 28 = -4*j for j. 4 Let m = -528 + 528. Let j(b) = 6*b**2 + 2*b + 1. Let n be j(-1). Suppose -n*v + 5*i + 28 = 3, i + 3 = 0. Solve m = 2*p - 0*p + v for p. -1 Let n be (-2)/(-1 - -5)*0. Let c be ((-80)/(-20))/(4 + -3). Solve n = -5*a + c*a + 2 for a. 2 Suppose -3 = 6*j - 9*j. Solve p + j - 3 = 0 for p. 2 Suppose 0*j = 4*j - 12. Let t(v) = -v**2 + 9*v + 4. Let d be t(8). Let h be (18/(-15))/(d/(-30)). Solve h*a = -9 + j for a. -2 Let w(x) = x**2 + 3*x - 58. Let i be w(7). Solve i*u - 8*u - 12 = 0 for u. 3 Suppose 3*c = -3*w + c + 38, -22 = -2*w - 3*c. Suppose 6 = w*j - 13*j. Suppose 0 = 4*o - h + 1, -o + 5*h = 5. Solve 2*m - 4*m - j = o for m. -3 Suppose 51*c - 56 = 49*c. Suppose 3*w = 9, -4 - c = -4*a - 4*w. Solve -k - 12 = -a*k for k. 3 Let l(v) = -2*v**2 + 16*v - 10. Let p be l(7). Solve -p*z = -9*z for z. 0 Let a = 275 - 275. Solve a*y + 6 = 3*y for y. 2 Let x = 81 + 9. Let h be (-15)/x + (-26)/(-12). Solve 3*u + h + 7 = 0 for u. -3 Let b(x) be the first derivative of -x**4/4 + x**3 + 5*x**2/2 - 2*x - 24. Let m be b(4). Solve m*n = 7*n for n. 0 Let a be 1*(-76)/(-8) + 1/2. Let i be a/(-3)*(-3)/2. Solve 3*f + 2*f + i = 0 for f. -1 Let k(o) = -o**3 + 12*o**2 + 12*o + 15. Let a be 104/(-20)*(-20)/8. Let z be k(a). Suppose -z - 4 = -2*j. Solve 2*s + s - j = 0 for s. 1 Let c = 2192 + -2187. Let t be 66/14 + 2/7. Solve -c*w + 10 + t = 0 for w. 3 Let k = 149 - 149. Suppose k*j = 13*j - 117. Solve -5*s + 1 + j = 0 for s. 2 Let l(r) = -r + 17. Let g be l(14). Suppose v = -g*v. Solve -s + 2 - 6 = v for s. -4 Let k = -1166 + 1206. Solve 44*y = 34*y - k for y. -4 Let m = 95 - 84. Solve 3 - m = -4*w for w. 2 Let u = 155 + -95. Let r be (u/18)/((24/(-9))/(-4)). Solve 11 = r*c - 9 for c. 4 Let z be (-60)/35*(-84)/24. Solve -4 = -z*x - 10 for x. -1 Suppose 193 = -8*k + 233. Solve -k*c - 39 = -14 for c. -5 Let c(t) = 3*t - 10. Let i(d) = -d**2 + 10*d - 21. Let p be i(5). Let h be c(p). Solve -6 + 2 = h*u for u. -2 Suppose -3*v + 39 = -5*i, -43 = -5*v + 5*i + 12. Let m = 16 - 13. Solve -h + v = -m*h for h. -4 Suppose 0 = 3*a - 0*a. Suppose 0 = -5*d + 3*t + 280, 0 = 3*d - 0*d + t - 182. Let n = -57 + d. Solve a*k - n = k for k. -2 Let b(c) = -3*c - 89. Let r be b(-31). Solve -l = r*l + l for l. 0 Let o(c) be the second derivative of 7*c**4/12 - c**3/6 - c**2/2 + 24*c. Let y be o(-1). Solve 3*i = 5 + y for i. 4 Suppose -2*l = -8, -m - 56 = -4*m + l. Let c be (-1 + 6)*(-12)/m. Let i be -1 + (-10)/c*3. Solve -5*j = i + 1 for j. -2 Let k be (3 + -1)/((-2)/3). Let m be 9*k/(-9)*1. Solve 0 - m = l for l. -3 Let o(h) = h**3 + 3*h**2 - h - 1. Let w be o(-3). Let y = w + -2. Suppose -2*b + 22 = -5*a, 105*b - 109*b - 16 = 5*a. Solve 2*j - j + b = y for j. -1 Let w = 6 + -4. Suppose 4*i + 0*j + 2*j - 34 = 0, -i = -2*j - 1. Suppose -i*t + w*t = -15. Solve -t*p - p - 8 = 0 for p. -2 Let k(v) = v**3 + 5*v**2 - v - 5. Let b be k(-4). Let q = -126 + 128. Solve -q*f - 3*f = b for f. -3 Suppose -15*v - 12*v = -30*v. Let z be ((-2)/4)/((-3)/12). Suppose -4*s + 2*l + 4 = 0, 0*s = -3*s + 2*l + z. Solve -s*x + x = v for x. 0 Let x = 162 + -162. Solve x = -g - 3*g - 8 for g. -2 Let g be (9/3 - 3)/(18/(-9)). Solve g = 8*s - 7*s for s. 0 Let l(p) be the third derivative of -5*p**4/12 - 7*p**3/6 + 16*p**2. Let r be l(-1). Solve 0 + 3 = -r*s for s. -1 Let q(x) = -x**3 - 15*x**2 + 34*x + 13. Let z be q(-17). Solve z*g = 12*g for g. 0 Suppose 0 = -3*c + 19 + 8. Suppose 0 = i + m - 7, -3*m + 22 = 5*i - c. Solve 2 = i*d + 12 for d. -2 Let f = -277 - -282. Solve -f*c + 20 = -c for c. 5 Let d(x) = -2*x**2 + 12*x + 3. Let l be d(6). Suppose 2*b = -2*s, 4 = -s - l*b - 0*b. Solve -q = -s*q - 2 for q. -2 Let w = 11 - 8. Let a = 29 - 27. Solve w*z - a = 4 for z. 2 Suppose -3*d - 164 = -4*d - 4*b, 5*d = -2*b + 856. Let a be (-2)/(-9) - d/(-36). Suppose 99 = 5*k + f, 5*f = -4*k + 4*f + 80. Solve a*g - k = 1 for g. 4 Let a be 1 + (12 - (-1)/(-1)). Solve 4 + a = 4*u for u. 4 Suppose 0 = -3*x - 2*p + 13, -x - 8*p - 3 = -11*p. Solve -x*a = 6*a - 18 for a. 2 Suppose 0 = 8*g - 4*g - 16. Suppose 4*q + g*q = 24. Solve 16 = -q*d - d for d. -4 Suppose 4*u - c = 29, 2*c = -5*u - c + 15. Suppose u*j - 18 = 3*j. Let i be (-3)/j - (-62)/4. Solve 0 = -q - 4*q + i for q. 3 Let w = -9 - -15. Suppose j = w*j. Suppose -18 = -5*o - g - 2*g, j = o + 5*g + 14. Solve r = o*r + 25 for r. -5 Let y(i) = -7*i - 126. Let c be y(-18). Let s(t) = 5*t. Let u be s(1). Solve c = d - u*d + 12 for d. 3 Let h = -2637 + 2653. Solve -21*g = -h*g + 15 for g. -3 Suppose -13*g + 9*g + 12 = 0. Suppose -3*a = 2*f - 3, -5*a + 1 = f + g. Solve 0 = 2*h + f*h - 5 for h. 1 Let d be 18*(-5)/((-15)/(-4))*2. Let t = -43 - d. Let o = 10 + -3. Solve -o*g + t = -2*g for g. 1 Suppose -5*b = b + 2*b. Solve -5*k + 16 - 41 = b for k. -5 Let j be -4 - (-7 - -4) - -4. Let l be 4/14*63/j. Solve l + 0 = -2*q for q. -3 Let q = 668 + -652. Solve -2*m = 6*m - q for m. 2 Let r(f) = -11*f - 214. Let g be r(-20). Solve 2*h =
{ "pile_set_name": "DM Mathematics" }
+ 4 - 7 + 5*m**2 - 2. Let j be g(7). Solve -2*i + j = u for i. 4 Let v(g) = -45*g + 1506. Let c be v(33). Solve c*m + m = -176 for m. -8 Let j = 1362 + -825. Let n = j - 533. Solve 2 = -n*a - 6 for a. -2 Let s = -35 + 36. Let u be (130/390)/((-38)/39 + s). Solve y = 11 - u for y. -2 Let s = 75 + -54. Suppose -14 + s = x - 4*y, -y = 0. Solve 0 = -3*h - x + 1 for h. -2 Let q(v) = v**2 - 10. Let j be q(5). Let t = j + -13. Let k = 1835 - 1829. Solve 0 = t*n - k*n - 8 for n. -2 Let w be ((-64)/(-6))/(13*(-9)/(-351)) + -2. Solve -161*z + 166*z = w for z. 6 Suppose -195 = 8*x - 771. Let r = -18 + x. Let y = r - 43. Solve 0 = 3*g + 4 + y for g. -5 Suppose 5*j = 21 - 6. Let l(g) = -2*g**3 + 200*g**2 + 407*g + 105. Let v be l(102). Solve 0 = -v*r - j*r + 24 for r. 4 Suppose 111 = -377*s + 414*s. Solve -s*a + 9 = -9 for a. 6 Let w(a) = -7*a**2 - 74*a - 80. Let i be w(-9). Solve 31 = i*z + 107 for z. -4 Let z = 13344 + -13248. Solve -38*v + z = -22*v for v. 6 Let v(x) = -2*x**2 - 21*x - 9. Suppose 0 = 4*g - 5*g - 15. Let i be (1 + 21/g)*50/2. Let u be v(i). Solve -3 - u = o for o. -4 Suppose 47*f - 149 = 14*f + 247. Solve -33*r - f*r = -225 for r. 5 Suppose 114 = 6*j - 0*j. Suppose 0 = 3*r - 9, -3*y + j = -y + 3*r. Let a be 26/7 - (-16)/56. Solve -y = a*s - 21 for s. 4 Let v(b) = -29*b + 147. Let x be v(5). Suppose -3*i = -2*j - 34, 4*i - 40 = -2*j - 4. Suppose -4*p - i = -2*d, -5*p + 1 = 2*d - 3*d. Solve -x*n - n = -d for n. 3 Suppose 36 = 5*x - 14. Suppose x = 6*q + 64. Let u = -8 - q. Solve -3*r = -7 + u for r. 2 Let c = 1611 - 1603. Let p = 14 + -8. Let q = -63 + 67. Solve -q*g + c = -p*g for g. -4 Let a(x) = x**3 - 278*x**2 + 1415*x - 1. Let v be a(5). Solve v*k - 238*k = 77 for k. 7 Suppose -23*u = -6551 - 5984. Let n = -543 + u. Suppose y - 10 = -4*a + 3*y, y - 13 = -4*a. Solve 0 = a*b + n - 14 for b. 4 Let n be 92 + (24/30)/(1/(-10)). Solve -101*v + n = -113*v for v. -7 Let g = 7 - -49. Let c = -46 + g. Suppose -24 = -16*t + c*t. Solve -j = -t*j + 6 for j. 2 Suppose 2*s = u - 13 + 5, -4*s - 10 = -u. Suppose 9*y + u*y = y. Solve -q - q = y for q. 0 Let l = 4819 + -4819. Solve 320*h - 328*h - 40 = l for h. -5 Suppose -21 = -5*l - 3*x, -2*x = -0*l + 2*l - 10. Suppose 3*b + 5*g = 43, 0*b = 2*b - 3*g + l. Let i be ((-9)/(-6))/(b/8). Solve -3*j = i*j for j. 0 Let y = 625 - 531. Solve -y*w + 92*w - 8 = 0 for w. -4 Let r(f) = f - 3. Let z be r(6). Suppose 2*t = 2370 - 2362. Suppose -z*i - w + 17 = w, 0 = i + t*w - 19. Solve -i*d + 8*d = 5 for d. 1 Let f(c) = -c**3 + 108*c**2 + 450*c - 178. Let w be f(112). Solve -w*i + 71*i - 100 = 0 for i. 4 Suppose -8*d + 281 - 241 = 0. Solve d*f = -12*f + 51 for f. 3 Suppose 3 + 17 = 4*c, -3*l - 326 = -4*c. Let f = -90 - l. Suppose 5*q - f*q = 0. Solve n + 2 = -q for n. -2 Suppose -q - g - 1 = 0, 9*q - 14*q - 4 = 4*g. Solve q = 7*o - 14*o - 21 for o. -3 Let f(k) = -8*k - k + k**3 + 2*k + 17 + 3*k**2. Let g be (-4 - 1/1)/((-7)/(6 + -13)). Let u be f(g). Solve u*s + 10 = 7*s for s. 2 Let r(l) = -3*l**2 - 2*l + 40. Let n be r(6). Let m be (12/(-8))/(6/n). Suppose 16*a - m*a + 12 = 0. Solve -a*h = 2 - 8 for h. 2 Let f(j) = 2*j**2 - 3*j - 101. Let w(n) = n**2 + 24*n + 152. Let q be w(-12). Let u be f(q). Solve u*t + 3 = -3 for t. -2 Suppose -169*v + 27 = -167*v + 3*w, -2*v + 3*w = -69. Solve -14*t - 46 = v for t. -5 Suppose -3*n - 25 = -4*c, -4*c + 2*n - 9 = -31. Suppose 29*i = 30*i - 4*w - 5, 4*i - 8 = c*w. Solve -i = 5*d + 19 for d. -4 Let m be (32/6)/(288/432). Solve 0 = -m*o + 13*o - 30 for o. 6 Let q(d) be the first derivative of d**3/3 - 5*d**2 + 21*d + 64. Let s be q(3). Solve 4*l - 16 + 4 = s for l. 3 Let w = 9327 - 9321. Solve w = 12*b - 9*b for b. 2 Let g(l) = -44*l + 255. Let z be g(5). Solve -68*q = -61*q + z for q. -5 Suppose -n - 4*n + 2*z = -117, 0 = -3*n - z + 68. Let u = 88 + -92. Let k(v) = -v**2 - 8*v - 13. Let o be k(u). Solve -o*h + 8 = n for h. -5 Suppose -7*c - 1 = -4*c - 4*y, -9 = -c - y. Suppose 2*x = 7*x + c, -4*u = -5*x - 5. Let m(w) = w**2 + 2*w - 5. Let b be m(-4). Solve p + u = b for p. 3 Suppose 2*x = -3*l + 2754, -70*l + 71*l + 3*x = 925. Solve -5*z = 901 - l for z. 3 Let a be 39 - 42 - -5*1. Suppose -5*k + 9 = -11. Suppose -3*c + 5*o + 5 = 0, -4*c + 2*o + 24 = k*o. Solve 0 = c*f - a*f + 9 for f. -3 Let y = 2330 + -2315. Solve 9*g + 12 = y*g for g. 2 Let o = 138 - 57. Suppose -54*y + 84*y + 2400 = 0. Let r = y + o. Solve -r = -4*q + 7 for q. 2 Let o be (-414)/1518 - (-776)/22. Solve -22*r - o*r + 342 = 0 for r. 6 Let i(u) = 3*u**2 - 25*u - 72. Let o be i(11). Solve -30 = o*q - 21*q for q. 6 Suppose -10*r = -r - 3*r. Let o be (-6)/51 - 20*7/(-34). Solve r*d - 4*d = o for d. -1 Let t(b) = 12*b - 87. Let w(m) = 11*m - 86. Let h(j) = -4*t(j) + 5*w(j). Let q be h(13). Solve -4*o + q = -3 for o. 3 Let c = -7671 + 7716. Solve -20*u - 65 = -c for u. -1 Let b(j) = 8*j - 6. Let m be b(3). Solve -6 = m*t - 20*t for t. 3 Let r(m) = -m**3 + m**2 + 12*m - 6. Let i be r(3). Suppose -5*u + 295 = -3*c, -3*u - 5*c + 165 = -i. Let d = -52 + u. Solve 4*z = -d - 5 for z. -3 Let t = -39 + 43. Let n be 0/(2 + -1 + (-12)/t). Suppose n*z - 4*z + v = -53, 3*v + 5 = z. Solve -2 + z = 3*x for x. 4 Let u(k) = -2*k**2 - 14*k - 14. Let s be u(-5). Let o be (9*s/(-63))/((-4)/28). Solve -1 + o = j for j. 5 Let f be -130*((-516)/(-60) - 9). Solve 0 = -81*n + 68*n - f for n. -4 Let d = 8639 + -8619. Solve -25*y = -d*y - 25 for y. 5 Suppose 20*f - 21 = 17*f, 2*f = -5*g + 784. Solve -7*a - g + 175 = 0 for a. 3 Let u(g) = g**2 + 12*g + 38. Let z be u(-7). Suppose 7*p + 8 = z*p. Let n be 0*1/p*16/(-8). Solve -x + 4*x - 12 = n for x. 4 Let l be 7 + (2 - (-2 + 10 + -2)). Suppose 36 = 4*q - 7*q. Let f be 15/6*q/(-10). Solve l*y - 12 = f for y. 5 Suppose 71 = 3*i - 4*j, -5*i - 3*j - 1249 = -1377. Solve 83 = 27*n - i for n. 4 Let k(h) = -h**3 + 10*h**2 - 18*h - 1. Let i be k(8). Let r(w) = w**2 + 16*w - 11. Let n be r(i). Solve 8*j = n*j + 8 for j. 4 Let x(u) = u**3 + 11*u**2 - 8*u - 6. Let l be x(-5). Solve -l*r + 179*r = 0 for r. 0 Let g(w) = -w**2 + 11*w + 3. Suppose 8 = -4*d + 2*v, -10 = -2*d + 7*d - v. Let c be 1 + -2 + 14 + d. Let j be g(c). Solve 2*r = -r - j for r. -1 Let i be (-35)/2*432/(-90). Let a = -83 + i. Let h be (6/(-4))/a - 86/(-4). Solve h = -5*s + s for s. -5 Suppose 4*l - 5*g = -2, -5*g + 8 = -3*l + 4. Let f(a) = 2*a + 5. Let o be f(l). Solve 11*x - o*x = 0 for x. 0 Suppose 4*c - 5*c - 5*l = -15, -c - 4*l = -15. Let g(y) = 413*y - 19810. Let o be g(48). Solve -c*u = -o*u - 4 for u. 4 Suppose 0*t + 20*t - 8800 = 0. Let h = -437 + t. Suppose -5*l - 2 = -22. Solve -h*f - f = l for f. -1 Let r(c) = -34*c**2 + 6*c + 60*c**2 - 50 + 19*c - 25*c**2. Let v be r(-27). Solve -v - 1 = -5*h for h. 1 Suppose 1702 = -238*u + 275*u. Solve u - 3 = -43*l for l. -1 Let c(u) be the first derivative of -u**3/2 + u**2/2 + 38*u + 35. Let b(p) be the first derivative of c(p). Let t be b(-1). Solve -3*k = -4*k + t for k. 4 Let f = 182 + -177. Suppose -2*o = -4*t + 46, 6*t - 52 = 3*t + f*o. Let s(m) = m**3 + 14*m**2 + 14*m + 16. Let g be s(-13). Solve -g*j + 0*j = t for j. -3 Let x(n) = 4*n**3 - 38*n**2 - 116*n - 29. Let y be x(12). Solve 8*g + y = -5 for g. -3 Let m be (278/(-139) - (-134)/8)/((-1)/(-4)). Solve 420 = m*h + h for h. 7 Let g be 1/(3/2*22/231). Suppose -g - 13 = -4*b. Let n be 8 + 1*(-20)/b. Solve -4 = 5*p - n*p for p. -4 Let f be (-2)/26 + (-264)/286. Let a be 25/(5/f) + 10. Solve -6*o = -a*o - 3 for o. 3 Let q(d) = d**3 - 18*d**2 - 18*d - 15. Let o be q(19). Suppose -o*j = -j - 63. Suppose -u + g + 15 = -3*g, -j = -4*u + 3*g. Solve -u*a + 25 = 2*a for a. 5 Let d(j) = j + 21. Let b be d(-17). Suppose 0 = b*w + i - 2*i - 146, -44 = -w + 4*i. Let c be w/15*(-35)/(-14). Solve -2*y + 20 = -c*y for y. -5 Let p be (-8)/76 - 32700/(-190). Solve -j + 173 = p for j. 1 Suppose 52 = r + 16*r - 577. Solve 0 = -24*x - r + 253 for x. 9 Let o be (-230)/69*(-18)/10. Let w be 0/(2 - (o - 7)). Solve -3*b = -w*b for b. 0 Let x(i) = i**3 - 18*i**2 + 54*i + 146. Let m be x(13). Solve -5*h = -m*h - 12 for h. 6 Suppose 5*a = -5*l + 245, 83*a - 9 = 80*a. Solve l*z - 23*z - 138 = 0 for z. 6 Let f = -331 - -306. Let d(n) = -3*n**2 - 74*n + 29. Let c be d(f). Solve -6*m = -c*m + 10 for m. -5 Suppose 5*c = -4*s + 6*c + 9, -5*s + 3*c = -6. Suppose
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
v(c) = c**3 - c**2 + c + 1. Suppose -3*y = 6, 0 = -3*b - 6*y + 10*y + 26. Give b*v(s) + t*a(s). 2*s**3 + 1 Let c(f) = f - 6. Let h(q) = 1601*q**2 - 9*q - 4. Let t be h(3). Let y(z) = -5*z - 5*z + t + 3*z - 14329. Calculate -49*c(n) - 6*y(n). -7*n Let v(b) = -2*b**2. Let s(z) = -2*z**3 - 202*z**2 - 1. Calculate s(n) - 3*v(n). -2*n**3 - 196*n**2 - 1 Let n(l) = -51*l + 936. Let c(h) = -37*h + 623. Determine -7*c(m) + 5*n(m). 4*m + 319 Let p(h) = -h - 3. Let j(o) = o + 3. Let n = -455 + 455. Suppose n = 3*l - 18 + 9. What is l*j(z) + 4*p(z)? -z - 3 Let n(k) = -4*k - 5. Suppose 5*x - 1812 = 14*l - 17*l, 4*l - 5*x - 2381 = 0. Let p = l - 603. Let r(i) = 5*i + 5. Give p*n(h) - 3*r(h). h + 5 Let f(t) = -3485*t + 2. Let u(z) = 10465*z - 6. Determine 7*f(v) + 2*u(v). -3465*v + 2 Let u(s) = 455*s + 22. Let f(i) = -151*i - 9. Give -8*f(v) - 3*u(v). -157*v + 6 Let b(o) = 1493*o + 134370. Let s(z) = -10. Determine 4*b(c) + 53748*s(c). 5972*c Let g(n) = -8*n. Let y(t) = -2*t**2 + 80*t - 14. Determine 10*g(b) + y(b). -2*b**2 - 14 Let d(f) = 236*f**2 + 29*f + 69. Let b(n) = 55*n**2 + 7*n + 17. Calculate 13*b(z) - 3*d(z). 7*z**2 + 4*z + 14 Let v(b) = -b**3 - 4*b**2 + 3*b - 1. Suppose 2 = 2*x + 2. Let n(j) = 4*j**2 + j**2 + x*j**3 + 1 + j**3 - 4*j. Calculate 4*n(c) + 5*v(c). -c**3 - c - 1 Let b(g) = -754*g**2 + 117*g - 117. Suppose -5*i = -z + 107, -i + 91 = 3*z - 262. Let r(f) = 13*f**2 - 2*f + 2. Give z*r(u) + 2*b(u). 13*u**2 Let k(l) = -2*l - 9. Let j(w) = -4*w - 45. Let f(h) = -j(h) + 6*k(h). Let o(c) = 7*c + 8. What is 5*f(q) + 6*o(q)? 2*q + 3 Let t(l) = -728 + 731 + 2*l**2 - 11*l**2 + 2*l**3 - 18*l + 9*l**2. Let b(n) = 5*n**3 - 53*n + 8. Calculate -3*b(w) + 8*t(w). w**3 + 15*w Let h = -22687 - -22681. Let t(j) = j**2 + 4. Let k(g) = -g - 1. Give h*k(z) - t(z). -z**2 + 6*z + 2 Let o(v) = -125902*v**3 - 207*v**2 + 69*v - 1035. Let b(l) = -3703*l**3 - 6*l**2 + 2*l - 30. Give -138*b(u) + 4*o(u). 7406*u**3 Let b(l) = -9*l - 1. Let z(f) = -26*f - 8. Let w(t) = 5*b(t) - z(t). Let u(x) = 20*x - 4. Determine 4*u(i) + 5*w(i). -15*i - 1 Let k(m) = -3*m**3 - 221*m**2 + 35*m. Let t(v) = 4*v**3 + 223*v**2 - 41*v. Calculate 6*k(n) + 5*t(n). 2*n**3 - 211*n**2 + 5*n Let b(h) = 22*h**3 + 8*h**3 - 290*h**2 + 18 - 279*h**2 + 884*h**2 - 297*h**2 - 18*h. Let o(c) = -c**3 - c**2 + c - 1. Calculate b(w) + 18*o(w). 12*w**3 Let o = 3 - -3. Suppose 5*b + i = 10*b - 49, 2*i - 34 = -2*b. Let x(c) = 0 + 5*c - 1 - 3. Let j(u) = -9*u + 7. Calculate b*x(d) + o*j(d). d - 2 Let s(r) be the second derivative of r**4/12 - 2*r. Let c(a) be the first derivative of 1/2*a**2 - 4/3*a**3 + 221 + 0*a. Determine -2*c(d) - 9*s(d). -d**2 - 2*d Let v(r) = r + 8. Let c(o) = 21136*o + 3 + 3 + 1 - 21135*o. Calculate -4*c(j) + 5*v(j). j + 12 Let i(y) be the first derivative of y - 1. Let k = -177 - -203. Suppose -8*v = k*v - 102. Let u(l) = l - 1. Give v*i(t) + 2*u(t). 2*t + 1 Let x(b) = -3 - 203*b + b**2 + 73*b + 2*b**3 + 57*b + 73*b. Let m be (2/4)/((-2)/4). Let r(z) = z**3 - 1. What is m*x(j) + r(j)? -j**3 - j**2 + 2 Let l(v) = -1125*v - 164. Let h(r) = 1123*r + 208. Give 4*h(t) + 5*l(t). -1133*t + 12 Let i(t) = -8*t + 38*t - 1 - 3*t - 14*t - 12*t. Let s(m) = 9*m**2 - 3*m + 3. Calculate 3*i(l) + s(l). 9*l**2 Let t(k) = -17*k**2 + 18*k + 12. Let x(c) = 10*c**2 - 3*c - 1. Give t(w) + 5*x(w). 33*w**2 + 3*w + 7 Let s(r) = -3386*r**2 - 26*r + 12. Let c(u) = 7*u - 3. Give 4*c(k) + s(k). -3386*k**2 + 2*k Let h(n) = 2*n**2 - 5*n + 5. Let p = 12 + -9. Let g be p/((-12)/(-8)) - 7. Let i(a) = -2*a**2 + 6*a - 6. Let r = 659 + -665. Determine g*i(u) + r*h(u). -2*u**2 Let d(a) = -5*a**2 - 28*a + 14. Let f(b) = -13*b**2 - 86*b + 39. What is 11*d(j) - 4*f(j)? -3*j**2 + 36*j - 2 Let d(x) = 556*x**2 + 6187*x - 555*x**2 - 2 - 6189*x. Let s(n) = n - 1. Calculate -d(j) + 3*s(j). -j**2 + 5*j - 1 Let q be (-10)/2*3/(-4 - (-2 + 1)). Let k(b) = 97*b - 2. Let m(n) = -48*n + 1. What is q*m(l) + 3*k(l)? 51*l - 1 Let j(y) = 10*y + 2. Let w(n) = 6376*n + 176. What is -176*j(s) + 2*w(s)? 10992*s Let c(f) = 16*f**2 - 7*f + 12. Suppose 0 = -228*p + 174*p - 378. Let i(v) = -5*v**2 + 2*v - 4. Give p*i(s) - 2*c(s). 3*s**2 + 4 Let s(q) = -3*q + 6. Let x(g) = -2*g + 6. Let a(z) = 4*s(z) - 3*x(z). Let p(u) be the first derivative of u + 12465. What is -a(i) + 6*p(i)? 6*i Let c be 54/(-10) - -1 - (-15)/(2025/54). Let v(i) = 2*i**3 - 2*i**2 + 5*i + 2. Let s(t) = t**3 - t**2 + 2*t + 1. Calculate c*v(h) + 10*s(h). 2*h**3 - 2*h**2 + 2 Let p(q) = -429*q - 2. Let g(x) = -207*x. Give -7*g(y) + 4*p(y). -267*y - 8 Let v(a) be the first derivative of -175*a**4/4 - 65*a - 31. Let r(k) = -8*k**3 - 3. Let c be (-140)/(2/2) + 10. What is c*r(x) + 6*v(x)? -10*x**3 Let q be (15532/1765)/((-8)/(-10)). Let m be (-13)/(-3) + 1/(-3). Let s(b) = -21*b + 3. Let z(i) = 7*i - 1. What is m*s(d) + q*z(d)? -7*d + 1 Let h(v) = -v**2 + 4*v. Let q = -13 + 4. Suppose -7*w + 755 = -2*w. Let u(o) = 154*o**2 + o - w*o**2 + o - 11*o. What is q*h(z) - 4*u(z)? -3*z**2 Let o(u) = 12*u - 4. Let j(v) be the second derivative of -13*v**3/6 + 5*v**2/2 + v - 2. Determine 5*j(p) + 6*o(p). 7*p + 1 Let n(v) = 38*v - 99. Let l(i) = 56*i - 136. Calculate -5*l(p) + 7*n(p). -14*p - 13 Let j(o) = 79*o + 30. Let t(i) = 158*i + 72. Calculate -7*j(q) + 3*t(q). -79*q + 6 Let u(v) = -77 + 6*v + 7*v - v - 6*v + 48 + 30. Let d(i) be the third derivative of i**4/2 + i**3/3 + i**2. What is 3*d(b) - 5*u(b)? 6*b + 1 Let i(m) = m**3 + 2*m + 1. Let g(v) = 5*v**3 + 30*v - 12. Determine g(q) - 3*i(q). 2*q**3 + 24*q - 15 Let f be (8/1)/((27/(-54))/(3/(-6))). Let n(m) = -11*m**3 + 28*m + 5. Let w(p) = -17*p**3 + 42*p + 8. What is f*n(r) - 5*w(r)? -3*r**3 + 14*r Let l be (-9234)/1330 - (-12)/(-210). Let x(n) = 3*n - 8. Let c(k) = -2*k + 4. Determine l*c(h) - 3*x(h). 5*h - 4 Let q(n) = n**2 - n + 1. Let j(i) = -75*i**2 - 5*i + 4. Give -j(y) + 3*q(y). 78*y**2 + 2*y - 1 Suppose 23*p + 1 = -91. Let v(r) = r**2 + 6*r + 3. Let s(d) be the first derivative of -d**3/3 - 5*d**2/2 - 2*d - 2. Give p*v(o) - 5*s(o). o**2 + o - 2 Let r(z) = 125*z - 6. Let i(g) = 146*g - 7. Let a(o) = -6*i(o) + 7*r(o). Let l(f) = 8*f. What is 60*a(m) + 6*l(m)? -12*m Let g(n) = -43*n**2 - 2*n - 6. Let s(o) = 79*o**2 + 4*o + 11. Let w(l) = 11*g(l) + 6*s(l). Let v(f) = 4*f**2 + 7*f. What is -2*v(c) + 7*w(c)? -c**2 Let h(f) = -131*f + 158. Let d(n) = -61*n + 76. What is 13*d(v) - 6*h(v)? -7*v + 40 Let d(k) = -2389. Let w(t) = 1045. Let f(x) = -7*d(x) - 16*w(x). Let i(p) = -p - 7. Determine 9*f(h) + 4*i(h). -4*h - 1 Let r(o) = -4*o**2 - 3*o + 3. Suppose 124*u = -127*u + 263*u - 36. Let b(q) = -5*q**2 - 4*q + 4. Let t be (4/(-10))/((-2)/(-20)). Calculate t*r(k) + u*b(k). k**2 Let l(p) = -2*p. Suppose -x - 17*s = -13*s, 4*x + 3*s = -13. Let n(r) be the first derivative of 2*r**2 - 86. What is x*l(z) - n(z)? 4*z Let v(y) be the third derivative of 5*y**4/24 + y**3/6 + 204*y**2. Let o = -27 + 23. Let t(q) = -9*q - 3. Determine o*t(j) - 7*v(j). j + 5 Let u(q) = 0*q - q - 794 + 793. Let b(o) = -2*o**2 - 6*o - 7. Let f = 5 - 3. Suppose -s + f*w - 16 = 5*w, 4*s - 2*w = 6. What is s*b(k) + 6*u(k)? 2*k**2 + 1 Let j(x) = 8*x + 1. Let s(d) = 1980*d + 36. Determine 36*j(p) - s(p). -1692*p Let p(j) = 28*j**2 + 7. Let v(s) = -9*s**2 - 2. Let w(a) = -8*a + 22. Let l = -283 - -284. Let d be w(l). What is d*v(f) + 4*p(f)? -14*f**2 Let q(z) = -286*z**3 + 91*z**2 - 91*z - 91. Let f(s) = -6 + 116*s**3 + s + 6*s**2 - 255*s**3 - 7*s + 120*s**3. Give -91*f(j) + 6*q(j). 13*j**3 Let n(o) = 44*o**2 - 6*o + 11. Let m(b) = -15*b**2 + 2*b - 4. Let w(a) = -50*a + 989. Let v be w(20). Determine v*m(y) - 4*n(y). -11*y**2 + 2*y Let p(k) = 0*k - 2 + 6*k - 1 - 1. Let q be ((-48)/(-30) - 1)*(6 - 1). Let x(d) = -d**3 - q*d + 7 + d - 9*d. Calculate 7*p(n) + 4*x(n). -4*n**3 - 2*n Let g(n) = -6358*n - 25. Let p(i) = 6355*i + 20. Give -4*g(o) - 5*p(o). -6343*o Let l(p) = -82862*p**2 + 130*p + 1300. Let y(x) = 4479*x**2 - 7*x - 70. Calculate -7*l(v) - 130*y(v). -2236*v**2 Let f(l) = 10*l**3 - l + 96. Let q(r) = -4*r**3 - r - 47. Calculate -3*f(x) - 7*q(x). -2*x**3 + 10*x + 41 Let p(q) = -818*q**2 - 5*q + 16. Let y(n) = -1636*n**2 - 11*n + 36. Calculate -9*p(k) + 4*y(k). 818*k**2 + k Let g(x) = -x. Let b(h) = -334*h - 30. Let l(s) = -54*s - 5. Let j(c) = 6*b(c) - 37*l(c). What is -2*g(
{ "pile_set_name": "DM Mathematics" }
f -117073*r - 221134. -117073 Differentiate 114092*d**2 + 169522. 228184*d Find the first derivative of -123*w**2 + 494*w - 17391 wrt w. -246*w + 494 Differentiate 84*a**3*u**3 + 60308*a**3 - 753*a**2*u**4 + 3*a with respect to u. 252*a**3*u**2 - 3012*a**2*u**3 Find the first derivative of 14745*a**3*f - 2*a**3 + a**2*f + a**2 - 3186 wrt f. 14745*a**3 + a**2 Differentiate 7*m**2*u*y - 34*m**2*y + 97*m*y - 1874*u*y with respect to u. 7*m**2*y - 1874*y What is the second derivative of -2*d**4 + 2809677*d**2 - 14*d + 130657? -24*d**2 + 5619354 Find the third derivative of 38*b**3*r + 43251*b**3 - 71*b**2*r - 6*b*r - 1014*r wrt b. 228*r + 259506 Differentiate 72075*k**2 - 2*k - 752779 with respect to k. 144150*k - 2 Find the third derivative of -909*s**6 - 52*s**4 - 824*s**2 - 67*s + 2 wrt s. -109080*s**3 - 1248*s Find the third derivative of 19*d**3*v**5 - d**3 + 6690*d*v + d + 645*v**6 + 2*v**2 wrt v. 1140*d**3*v**2 + 77400*v**3 Find the first derivative of -16621*z**2 + 10*z - 1244436 wrt z. -33242*z + 10 Find the second derivative of -1952134*c**3*m**2 + 3*c**3 + 279465*c*m wrt m. -3904268*c**3 Differentiate -2*f*h*o**2 + f*o**2 - 14925*f - 31284*h*o - o**2 with respect to f. -2*h*o**2 + o**2 - 14925 Find the second derivative of 2007437*h**2 + 3215*h - 49. 4014874 Find the third derivative of -34802*q**3 + 118743*q**2 wrt q. -208812 What is the third derivative of -4*n**4 - 6568*n**3 - 455*n**2 + n - 1? -96*n - 39408 Find the third derivative of -16*h**3*k**3 + h**3*s + 454*h**3 + 9465*h**2*k**3*s**2 - 43*h**2*k**2*s + k*s**2 wrt k. -96*h**3 + 56790*h**2*s**2 Find the third derivative of 48*y**5 - 7*y**4 + 6*y**3 - 65819*y**2. 2880*y**2 - 168*y + 36 What is the second derivative of -4238*b**4*l + 84*b**3 + 2*b**2*l + 427*b*l + 2*l + 1951 wrt b? -50856*b**2*l + 504*b + 4*l Find the third derivative of -2410*n**2*r**4 - 1238*n**2*r**2 + 3*n**2*r - 101*n*r**4 wrt r. -57840*n**2*r - 2424*n*r Find the second derivative of -31*l**3*r**3*x**2 + 20*l**3*r**3 + 11*l**3*r*x - 4*l**3*x + l**3 - 156*l**2*r**3*x**2 + l**2*r**2*x - l*x wrt x. -62*l**3*r**3 - 312*l**2*r**3 Find the first derivative of 79699*m**2 - 61818 wrt m. 159398*m Find the second derivative of -917*a**3 + 1187*a**2 - 47005*a - 3. -5502*a + 2374 What is the second derivative of 55*b**2*o**2 + b**2*o - 50*b**2 - 20*b*o**5 - 29*b wrt o? 110*b**2 - 400*b*o**3 Find the first derivative of -3*t**4 - 3010*t**2 + 56127 wrt t. -12*t**3 - 6020*t Find the second derivative of -10*l*v**2 + 25043*l*v - 360*v**2 wrt v. -20*l - 720 Differentiate 59*l**2*o**3 - l**2 + 4001*l*o**3 + 19915*l + 4 with respect to o. 177*l**2*o**2 + 12003*l*o**2 Find the second derivative of 151*m**5 + m**4 + 5*m**3 + 17*m - 338. 3020*m**3 + 12*m**2 + 30*m What is the derivative of -2513*g**2*t**2 + 2*g*t**2 - 79*t**2 - 2*t - 133 wrt g? -5026*g*t**2 + 2*t**2 What is the derivative of 523883*i**2 + 310518 wrt i? 1047766*i What is the second derivative of -39*d**3*v**2 + 124889*d**3*v - d**3 + 116*d**2*v**2 + 2*d*v**2 - 3*v**2 wrt v? -78*d**3 + 232*d**2 + 4*d - 6 Find the second derivative of 5*v*y**4 - 35624*v*y**3 - 23257*v*y wrt y. 60*v*y**2 - 213744*v*y Find the third derivative of -6*d**4*z - 282*d**4 - 26*d**3 - 5956*d**2 - 18*d*z wrt d. -144*d*z - 6768*d - 156 What is the third derivative of 179*l**2*w**3 - l**2*w**2 - l*w**4 + w**4 + 1091*w + 3 wrt w? 1074*l**2 - 24*l*w + 24*w What is the second derivative of -2336*k**4 + 17*k**2 + 14*k - 2326? -28032*k**2 + 34 What is the derivative of -12389*o**2*z + 13220*z wrt o? -24778*o*z What is the first derivative of -304937*h**3*w + 35698*h**3 - 3*h**2 wrt w? -304937*h**3 Find the first derivative of -2278*a + 7622. -2278 What is the first derivative of -68551*a*p - 97819*p wrt a? -68551*p What is the first derivative of 61*o**3*p**2 - 47*o**3*p + p**2 - 53752*p + 2 wrt o? 183*o**2*p**2 - 141*o**2*p What is the third derivative of 2*q**6 + 33223*q**3*r**2 + 94*q**2*r**2 + 44*q**2*r + q*r wrt q? 240*q**3 + 199338*r**2 What is the second derivative of -s**5 - 1684*s**3 - 2*s**2 + 26754*s? -20*s**3 - 10104*s - 4 What is the derivative of -4551*j**3*m*z**2 + 4*j*m*z**2 - 3186*m*z**2 + 24*m wrt j? -13653*j**2*m*z**2 + 4*m*z**2 What is the second derivative of -656852*w**5 - 751569*w? -13137040*w**3 Differentiate 5*a**4 + 46861*a**3 - 155453 with respect to a. 20*a**3 + 140583*a**2 Find the second derivative of -250*h**5 - 4*h**2 + 195524*h - 3 wrt h. -5000*h**3 - 8 What is the derivative of 103816*u**3 + 61534 wrt u? 311448*u**2 Differentiate 1173*j**3*l + 79*j**3*r + 4*j**3 - 35*j**2*l*r + j*r wrt r. 79*j**3 - 35*j**2*l + j Differentiate -284624*n + 850169 wrt n. -284624 What is the third derivative of 2218300*j**6 + 18*j**2 - 444*j - 11? 266196000*j**3 Differentiate 4*p**4*r**2 + 25960*p**3*r**3 - 21852*r**3 wrt p. 16*p**3*r**2 + 77880*p**2*r**3 What is the second derivative of 34409*p**5*x - 2*p**2 - 10*p*x - 16*p - 43*x + 5 wrt p? 688180*p**3*x - 4 What is the third derivative of -226*o**3*p**2 - 79*o**3*p - 2*o**2*p - 61*o**2 - 189*o*p**2 wrt o? -1356*p**2 - 474*p Find the third derivative of -484803*m**5 - 102454*m**2. -29088180*m**2 What is the third derivative of 1871*x**5 + 2*x**3 + 2*x**2 - 77*x + 14? 112260*x**2 + 12 Differentiate k**3*u + 168673*k**3 - 6370*u**3 wrt u. k**3 - 19110*u**2 Differentiate -130529*r**4 + 5482. -522116*r**3 What is the second derivative of -f*g*y**2 - 45*f*g - 2*f*y**2 + 2*f*y + 23510*g*y**2 + 2*g*y - 372*y wrt y? -2*f*g - 4*f + 47020*g What is the third derivative of -302*c**3 + 29*c**2 + 361? -1812 What is the third derivative of 12*a**3*p**3 - 5921*a**3 + a**2*p**3 + a**2*p**2 - 23917*a - 2 wrt a? 72*p**3 - 35526 Differentiate -2*j**3 + 2*j**2 + 8826*j + 1763646. -6*j**2 + 4*j + 8826 What is the second derivative of 151*h**2*k**2 - 199*h**2*k - 1984*k**4 - 742*k wrt k? 302*h**2 - 23808*k**2 What is the third derivative of 171396*v**3 - 6*v**2 + 931*v? 1028376 What is the first derivative of 3*p*w*x - 421*p*w - 11*p + 8*w*x + 8*x - 9 wrt w? 3*p*x - 421*p + 8*x Find the third derivative of 272381*p**5 + 3*p**2 + 17334*p. 16342860*p**2 Find the second derivative of 924*c**2*m**2 - 5*c**2*m - 5*c**2 + 364*c*m - 21*m**2 wrt c. 1848*m**2 - 10*m - 10 Find the third derivative of 67634*a**3*k*r**2 + a**3*k + a**2*r - 4633*k - 5*r**2 wrt a. 405804*k*r**2 + 6*k What is the second derivative of -2566325*d**2 + 12163*d - 107? -5132650 Differentiate 3*v**2 - 1868*v + 204868 wrt v. 6*v - 1868 Find the second derivative of -5*b*v**3 - 2169*b*v**2 + b*v + 843*b + 2*v**3 - 2*v**2 - 8*v + 1 wrt v. -30*b*v - 4338*b + 12*v - 4 What is the first derivative of 11*a*f*r*v + 7*a*r*v + 147*a - f*r - 2*f*v - r*v + r - 2392*v wrt a? 11*f*r*v + 7*r*v + 147 What is the third derivative of -31931*d**5 - 4*d**2 - 1240? -1915860*d**2 Differentiate 5*g*t**2 + 907*g*t + 10*g + 205*t**2 - 1520*t with respect to g. 5*t**2 + 907*t + 10 What is the first derivative of 8*m*z**2 + 4821*m*z + 3*m - 2308*z**2 - 2*z + 4 wrt m? 8*z**2 + 4821*z + 3 What is the first derivative of -41484*z**3 + 44367 wrt z? -124452*z**2 Find the third derivative of d**6 + 381050*d**5 + 2253778*d**2. 120*d**3 + 22863000*d**2 Find the third derivative of 63*j**4*k + 2*j**4 + 3*j**3*k**2 - 6*j**3 - 4*j**2*k + j**2 + 4*j*k - 2*k**2 - 101 wrt j. 1512*j*k + 48*j + 18*k**2 - 36 What is the second derivative of 308*t**3 + 7*t**2 - 15490*t - 42 wrt t? 1848*t + 14 Find the second derivative of 2*i**4 - 20485*i**2 - 15585*i wrt i. 24*i**2 - 40970 Find the third derivative of -2*w**6 - 42793*w**5 + w**3 + 15*w**2 + 20476*w. -240*w**3 - 2567580*w**2 + 6 Differentiate c**3*w - 965*c**3 + 5*c**2 + 5*c*w + 141*w with respect to w. c**3 + 5*c + 141 What is the third derivative of 2631*c**5 + 24*c**4*g**3 + 3*c**2*g**3 - c**2*g**2 - 2*c**2 - 19*c*g - 2*g**3 wrt c? 157860*c**2 + 576*c*g**3 What is the second derivative of -20194*l**5 - 14482*l wrt l? -403880*l**3 What is the first derivative of -543*d**3 - 46*d**2 - 153457 wrt d? -1629*d**2 - 92*d Find the third derivative of -97*g**5 + 2063*g**4*h + 4592*g**2*h - 29*g*h + 2*g wrt g. -5820*g**2 + 49512*g*h Find the second derivative of -283076*f**2 - 218*f + 90 wrt f. -566152 Find the second derivative of -188526*g**3 - 351*g - 77. -1131156*g Differentiate -6*s**
{ "pile_set_name": "DM Mathematics" }
884 for q. 4 Solve 127*z - 130*z + 24 = 4*o, 2*z + 3*o = 19 for z. -4 Solve -5*w = 2*u - 5*u, 3*u - 2*w = 9 for u. 5 Solve 4*l = -3*g - g - 24, -3*g = -l + 6 for l. -3 Solve 2*o - 5*y + 2*y - 11 = 0, -y = 3*o for o. 1 Solve -k - 34 = 3*n - 29, -n - 3 = -k for k. 1 Solve -6*u = -9*u - 3*t - 3, -3*u - 6 = 4*t for u. 2 Solve 4*r = 20 - 4, -4*r - 4 = 4*d for d. -5 Solve 0 = k - 4*v - 72 + 44, -22 = -k + 3*v for k. 4 Solve 0 = -4*p + z + 21, -5*z - 2 = -p + 27 for p. 4 Solve -i + m - 4*m + 5 = 0, 4*m - 10 = -2*i for i. 5 Solve -t = 5*k, 2*k = 5*t - k for t. 0 Solve p + 4*y = 2*p + 5, -2*p - y = -8 for p. 3 Solve 0 = r - 5*u - 15, 0 = 4*r - 0*r + 5*u + 40 for r. -5 Solve -2*z + 46*h = 44*h - 4, -14 = -z - 5*h for z. 4 Solve -62*p = -65*p - 4*v + 11, -2*p - 1 = v for p. -3 Solve -18 = -2*u - 4*o, 10*u - 5*u - 30 = -5*o for u. 3 Solve -4*h - 14 = 2*p, -11 + 4 = -h + 3*p for h. -2 Solve 4*c - 2 = -2*d - 12, -5*d - 16 = c for d. -3 Solve -2*c - 3*r + 2 = 0, r = 4*c + 90 - 94 for c. 1 Solve -33 = 4*w + 5*m, -m = -4*w - w - 5 for w. -2 Solve 2*h + 5*z + 112 = 132, -4*z + 16 = 0 for h. 0 Solve 102*r + 6 = 3*o + 105*r, 0 = 4*o + 2*r + 2 for o. -3 Solve 4*r = 3*k - 11, 5*k = 2*r - 7*r - 5 for k. 1 Solve 3*j + 5 = -2*k - 15, -j = 2*k + 12 for k. -4 Solve -17 = -h - 4*n, 5*n - 6 = -4*h + 7 for h. -3 Solve 4*l + 2*g + 10 = g, -4*g = l + 10 for l. -2 Solve 3*z + 1 + 10 = -2*a, 0 = a + z + 3 for a. 2 Solve z + 11 = 5*u, -2*u - 1 - 9 = -4*z for u. 3 Solve 0 = -j - 5, 3*j + 13 = 2*g + 4 for g. -3 Solve -5*l - 1 = -3*u, -2*u + 2 = -u for l. 1 Solve l = -3*r + 4, -7*r - 3*l + 8 = -2*r for r. 1 Solve 3*j = -0*j + 3*i - 6, 4*j + i + 23 = 0 for j. -5 Solve -5*r = a + 3, r = 136*a - 132*a + 12 for a. -3 Solve 0 = 5*q - 5*z + 5, -z = 3*q + z + 3 for q. -1 Solve -4*l = -2*l - 5*a + 5, -2*a - 27 = 5*l for l. -5 Solve 3*y - 3*x = -y - 28, -4*x + 32 = -4*y for y. -4 Solve 0*w = 5*a + w - 26, -2*a + 15 = 5*w for a. 5 Solve 3*x = 5*y + 40 - 10, -3*x + 2*y = -21 for x. 5 Solve -6*o + 4*i + 20 = -3*o, 4*o - 3*i - 15 = 0 for o. 0 Solve 4*x - 24 = -5*g, 2*x + 0*x - 3*g + 10 = 0 for x. 1 Solve -2*c + 2 = -5*f - 3*c, 0 = f + 2*c + 4 for f. 0 Solve -12 = 3*y, -y = 2*p - 2*y - 14 for p. 5 Solve 0*z + 3*z + 3 = 0, 0 = -4*g - 4*z for g. 1 Solve -1 = 3*k + 5*o, -5*k - 11 + 6 = 5*o for k. -2 Solve 2*s = 5*i + 25, 18*i - 15*i = -3*s - 15 for i. -5 Solve -5*l + 15 + 0 = 4*x, -5*x = -3*l - 28 for x. 5 Solve -20 = 5*t, -6*j + 2*t + 33 = -j for j. 5 Solve -4*d - 14 = 5*k - 2, -d = k + 2 for d. 2 Solve 17 = -5*j + 4*i, 0 = -11*j + 7*j + 3*i - 13 for j. -1 Solve -15 = 5*n - 2*z, 5*n + 15 = 16*z - 17*z for n. -3 Solve 2*d = 3*g + 2, -3*g + 2 = -2*g + 2*d for g. 0 Solve 4*z = -4*a - 4, 0*a - 3*a - 3 = 4*z for z. 0 Solve 0 = -x - h - 10, 0*x + 3*h = 3*x for x. -5 Solve 2*z = 5*m - 17, -z - 16 = 3*m - 8*m for m. 3 Solve 0 = 3*z - 2*h - 19, -z + h - 1 = -8 for z. 5 Solve -12 = 2*o + 4*j, 4*j + 22 - 24 = 5*o for o. -2 Solve 4*c + 12 = 0, -5*c = -4*b - c - 8 for b. -5 Solve -7 = g + w - 0, -19 = 3*g + 2*w for g. -5 Solve -43*n = 4*u - 42*n - 20, 25 = 5*u - 2*n for u. 5 Solve -c + 7 = 2*q, -18*c + 5*q = -23*c + 25 for c. 3 Solve 3*v - 10 = 4*q, -2*q = -2*v + 3*v for v. 2 Solve v + 0*v = k + 3, 5*v = -k - 9 for k. -4 Solve -472*c - 9 = 3*y - 468*c, -5*y - 10 = 5*c for y. 1 Solve 6 = -3*s - 3*l, 2 = l + 3 for s. -1 Solve 5*y - 9*y + 24 = 5*i, 2*y + i - 6 = 0 for y. 1 Solve 2*o - 4 = -2*q, 0 = 29*o - 34*o - q + 2 for o. 0 Solve -u + 2*t - 6 = 4, -9 = 3*u + t for u. -4 Solve 0 = 3*k - 4*v - 20, 14 - 4 = 2*k - 2*v for k. 0 Solve 5*v + x = -12, -2*v + 18 = -6*v + 2*x for v. -3 Solve 2*l + 9 = 3*u, 0*u - 5*u + 37 = 4*l for u. 5 Solve 5*f - 2*g = -20, -f - 2*f - 5*g + 19 = 0 for f. -2 Solve -k = -2*z - 11, 7*k - 4*k - 3*z - 21 = 0 for k. 3 Solve 1 = l - 7*j + 5*j, -4*l - 6 = 2*j for l. -1 Solve -3*h - 16 = 5*c, 4*c - 7 = 4*h - 39 for c. -5 Solve -5*w = -10*w + 20, -p - 2*w + 3 = 0 for p. -5 Solve 5*c - 4*y + 12 = c, 0 = 4*y for c. -3 Solve -1 = 265*t - 260*t - 2*b, 4*b = 2*t + 10 for t. 1 Solve -n + 4 = 7*c, 5*n - 22*c - 20 = -18*c for n. 4 Solve 0 = -4*q + 3*c - 1, -3*q + 4*q + 5 = -4*c for q. -1 Solve 3*n = -2*c + 3, 2*c - 6*n + 2 = -4*n for c. 0 Solve 2*y = -3*v - 12 + 16, 4*v = -5*y + 3 for v. 2 Solve -5*p = -3*t - 5, -10*t + 4*p = -8*t + 6 for t. 5 Solve -2*a = b + 1, -16*a + 13*a + 2*b = -16 for a. 2 Solve 4*h = -5*d + 8, 7*h - 4*h + 4*d - 6 = 0 for h. 2 Solve -w + 4*k - 36 + 15 = 0, -k = -3*w - 19 for w. -5 Solve -5*q - 4*g = -21, 11*q - 16*q + 1 = -g for q. 1 Solve 0 = -h - r - 7, 4*h - 4*r = -0*r + 4 for h. -3 Solve -5*l - 4*h - 15 = -9*h, -3*l + 2*h = 6 for l. 0 Solve 14 = -3*k + i, 0 = -k - k - 4*i - 14 for k. -5 Solve -4*y = -w - y - 1, 5*w + 3*y = -23 for w. -4 Solve -3*f - 5*g = -13, 4*f + 12 + 14 = 2*g for f. -4 Solve -i - 23*r = -24*r + 4, -5 = 2*i - r for i. -1 Solve 3*c + 2*k = -11, 2*c + 10 = 2*k - 6*k for c. -3 Solve 3*o = -5*l + 30, -39*o + 1 = 2*l - 40*o for l. 3 Solve 5*p + 10 = 3*a, -a - 4*p + 7*p + 6 = 0 for a. 0 Solve -4*c - 4*h = -h - 12, -2*c - 16 = -4*h for c. 0 Solve 4*l - 6 = 2*f, -4*l - 21 = -3*l - 5*f for l. 4 Solve 5*l - 13*j + 11*j - 19 = 0, -3*j = 5*l - 34 for l. 5 Solve -2*a = -2*x - 4, -4*a - 10 = a - x for a. -3 Solve 4*p + k = 22, -5*k + 0 - 5 = -3*p for p. 5 Solve -2*m + 1 = -4*u - 13, 5*m = -4*u - 21 for m. -1 Solve -6 = -4*p - 5*k, -3*p - 5*k + 10 = 2*p for p. 4 Solve -2*j = d - 8, -3*d - 8 = -2*j - 0*d for j. 4 Solve -2*a + 3 = 2*x + 1, -5*x - 2*a - 7 = 0 for x. -3 Solve 25 = -5*m + 5*x, -4*m - x + 25 = 4*x for m. 0 Solve -113*t + 43 = -118*t + 4*d, -13 = -5*t - 4*d for t. -3 Solve 6 = 2*t - 2*v, 9 = 3*t + v + 4 for t. 2 Solve 3*x - 27 = -7*z + 4*z, -26 = -4*x - 2*z for x. 4 Solve 3*u + 3*t = 5*t - 13, 4*u = 3*t - 19 for u. -1 Solve 5*i + 1 = -4*g, 8*g = 11*g + 4*i for g. -4 Solve -k + 9 = -5*f + 4, 5*k + 15 = 5*f for f. -2 Solve 9*c + 2*z - 5 = 4*c, 4*c + 3 = -3*z for c. 3 Solve 318*h - 319*h = -2*a + 5, 0 = -5*h - a - 14 for h. -3 Solve 2*n = -3*n - 2*h + 16, 5*n = 5*h - 5 for n. 2 Solve -5*d + 3*m - 2 = 0, 11*m = 7*m - 4 for d. -1 Solve 4*x - 17 = 8*x + r, 2*r - 21 = 3*x for x. -5 Solve 4*a + 4*t + 0 = 20, 2*t = 10 for a. 0 Solve -w = -2*n + 13, -5*w - 29 = -2*n + n for w. -5 Solve 0 = 4*l - v - 3*v + 16, 4*l + 5*v - 11 = 0 for l. -1 Solve 3*m + 18 = 3*s - 0*s, -2*s = 2*m - 8 for s. 5 Solve 5*b = 4*r - 15, 2*b - r + 6 = 3 for b. 1 Solve 22*y - 1 = 4*r + 19*y, -5*y = -3*r + 2 for r. -1 Solve 0 = -4*o + 3*z - 14, -2*z = -3*z - 2 for o. -5 Solve -4*c = 8, 5*c - 43 + 37 = -4*o for o. 4 Solve 10*x - 4*f = 8*x + 22, 5*x + 4*f + 1 = 0 for x. 3 Solve -40 = -5*p + 3*x, 26*p - 28*p = -5*x - 35 for p. 5 Solve 66*d = -5*l + 64*d + 23, 5*l + d - 24 = 0 for l. 5 Solve h - 4*h - 2*g = -19, -5*h - 5*g = -35 for h. 5 Solve -f = -3*d - 9, 2*f = 4*d + 10 - 0 for d. -4 Solve -6 = 62*l - 64*l, -s + 4*l - 8 = 0 for s. 4 Solve 4*y = -i + 8, -5*y + 10 = -0*y - 4*i for y. 2 Solve -s - 7*j = -10*j - 9, 20 = -5*j for s. -3 Solve -2*y + w + 3 = 0, -17*w = -y - 19*w - 11 for y. -1 Solve 2*b + 3*f = 5*f, 4*b + 21 = -3*f for b. -3 Solve u - 13 = -4*b, -31*b = -32*b - 4*u - 8 for b. 4 Solve 0*o = 5*o - 2*l + 16, 2 = -4*o - 2*l for o. -2 Solve 2 = 2*q - 4*d, 10 - 5 = -q - d for q. -3 Solve -b = 3*p - 10, -2*p + 5*p - 2*b = -2 for p. 2 Solve -4*l = 4*v - 6*l, -v + 5*l = -9 for v. -1 Solve -2*d + 2*z - 12 = 0, d - 3*z = -20 + 4 for d. -1 Solve 13*x + 26 = 16*x + 4*a, -x - 4*a + 22 = 0 for x. 2 Solve 5*k = -j + 21, -36*j + 33*j - 2 = 2*k for k. 5 Solve -4*q + 6 = b, 4*q - 2 = -235*b + 236*b for q. 1 Solve -g + 10 = 4*t, 4*g - t + 507 - 513 = 0 for g. 2 Solve -4*c - 4*w + 12 = 0, -40*c - 5 = -37*c - 4*w for c. 1 Solve 5*r - 2*j - 25 = 0, 3*r + 0 - 15 = 5*j for r. 5 Solve -5*m + 10 = 4*k, -k = 4*m + 3*k - 8 for m. 2 Solve 3*y - 6 = -12*x + 8*x, -4*x - 5*y = -2 for x. 3 Solve -2*r - 5*q + 14 - 7 = 0, 2*r - 1 = q for r. 1 Solve 2*r + 15*t - 46 = 11*t, 5*r + 2*t - 43 = 0 for r. 5 Solve 5*g = 2*q - 16, 4*q + 7 - 15 = -2*g for g. -2 Solve 3*u - 2*i - 11 = 0, 26*u + i - 5 = 24*u for u. 3 Solve 0 = 5*j + c - 15, -3*c + 2*c = -3*j + 9 for j. 3 Solve 0 = 4*h - 2*f + 6, f - 1 - 3 = h for h. 1 Solve -3*l - u = -19, -9*l = -10*l + 5*u - 15 for l. 5 Solve -3*i + 21 = -2*g, -g + 5*g + i = -7 for g. -3 Solve -5*
{ "pile_set_name": "DM Mathematics" }
.5 from -0.154. 2.346 Add together 11 and 22482. 22493 Sum -5 and -593. -598 Add together 86 and -52. 34 Calculate -0.122 - 0.207. -0.329 What is -6 less than -0.052? 5.948 -11 - 1600 -1611 What is 0.016 take away -3659? 3659.016 Work out -869 - -53. -816 What is -0.3 - -0.568? 0.268 What is the distance between 303 and -33? 336 Add 3694 and -19. 3675 Calculate -0.048 - 0.05. -0.098 Work out -43 - -0.05. -42.95 What is the distance between -0.1 and -1442? 1441.9 Calculate -37 + -0.8731. -37.8731 3562 - 18 3544 What is -57 less than 66340? 66397 What is 27 less than -1576? -1603 Work out -4.02 + 1. -3.02 What is -0.0864 minus -35? 34.9136 Put together -8 and 52. 44 What is 0.13 take away 6437? -6436.87 Work out -14 + -0.01. -14.01 0.384 + -15.8 -15.416 Subtract 1 from -3.1169. -4.1169 451598+-1.1 451596.9 What is 0.2 plus -17014.85? -17014.65 Total of 0.13 and -280.6. -280.47 1.48+-0.2 1.28 What is -2 take away 37105? -37107 What is 7.904 take away -0.0286? 7.9326 What is -3421.6 less than 0.03? 3421.63 Put together -1453 and 0.02. -1452.98 What is 0.99 minus 449? -448.01 Work out -264.3 - -0.5. -263.8 Calculate 0.1 - -205. 205.1 -10.1 + -9 -19.1 Calculate -2.8 + -468. -470.8 What is 0.4 plus 1.799004? 2.199004 What is 3.97 take away 10? -6.03 What is -3914.6 - -1? -3913.6 Calculate 81362 + 0.3. 81362.3 Work out 8.16 - -0.04. 8.2 What is 17 minus 0.2334? 16.7666 Add -824 and -3.1. -827.1 Add 191 and 19. 210 What is 1266077 less than 4? -1266073 Calculate 34.06 - 10.5. 23.56 Put together -5 and -1.938. -6.938 -0.04678+2 1.95322 Work out 0.0333 - 8. -7.9667 What is 1 + -0.02814? 0.97186 What is 0 plus 0.125? 0.125 Work out 615 + 4. 619 What is the difference between -5 and -33.3? 28.3 -0.5 - 5.6 -6.1 Add 0.33 and 123. 123.33 What is the difference between 2 and 22644.4? 22642.4 Calculate -4949.7 - -9. -4940.7 Calculate 141 + 0.5. 141.5 What is 1.41 minus 42? -40.59 Sum -930.5 and -17.3. -947.8 What is 5.5214 minus -5? 10.5214 What is -0.557 take away 0.3? -0.857 What is 9506 + -0.02? 9505.98 Add -1.799995 and 1. -0.799995 Add together 7170 and -5. 7165 What is 360623 minus 0.13? 360622.87 Total of 106 and 43. 149 0.109 - 0.716 -0.607 What is 0.1 less than -49.6? -49.7 What is the distance between -0.149926 and 0.1? 0.249926 What is 4 - -113.2? 117.2 Total of 562807 and -0.4. 562806.6 Add -9 and 11707. 11698 0.3 + 37.594 37.894 Put together -1.1777 and 4. 2.8223 What is the distance between 30 and 0.003? 29.997 What is 2 minus 4685? -4683 Calculate -0.2 - -72168. 72167.8 Put together 0.4 and -254904. -254903.6 What is the distance between -0.3945 and 3? 3.3945 Work out 7617.3 - -0.3. 7617.6 0.66 - 0.3 0.36 Subtract 0.09 from 2337. 2336.91 What is 1572309 take away 1? 1572308 Subtract -0.02 from -245581. -245580.98 Calculate -1943 - 3. -1946 Work out 1.35697 - -0.12. 1.47697 Work out 0.27 - 19.807. -19.537 Total of -279 and 0.044. -278.956 Total of 86982 and -4. 86978 Subtract 49861 from -0.04. -49861.04 Put together 0.4 and 7493.17. 7493.57 What is 48 take away -0.72? 48.72 Add -39503 and 2. -39501 Work out 28 - -4969. 4997 What is the distance between 1.4 and -505? 506.4 98.2 + -0.5 97.7 -0.415 - 438 -438.415 What is 0.02 - -0.2? 0.22 What is 5 less than 1.972156? -3.027844 Add -225 and -4849. -5074 What is 0.6169 take away -0.25? 0.8669 0.02097 - 2 -1.97903 Work out -2552 - -1302. -1250 What is the difference between 0.0155 and 0.885? 0.8695 Subtract 0.10295 from 0.4. 0.29705 Add together -9.1 and -1271. -1280.1 What is -65 less than 0.27? 65.27 Work out 0 + 292304. 292304 Work out -0.4 - 12.56142. -12.96142 Put together 2 and -1. 1 What is -2441892 take away 0.5? -2441892.5 Work out 27.76 - -0.016. 27.776 What is -1.5 plus 1.359? -0.141 What is 9821 plus -6? 9815 Calculate -0.1763285 - 0.4. -0.5763285 Work out -21 + -12.7. -33.7 13 + 603 616 What is -0.9477 - 1? -1.9477 Total of 18.1 and -2. 16.1 Subtract -3474 from -0.7. 3473.3 Subtract -0.27 from -697. -696.73 What is -23 - 0.1557? -23.1557 What is 4.98 less than -122? -126.98 Calculate 170 - -8749. 8919 What is -23.7 minus 9026? -9049.7 What is the distance between 0.3 and 1.107? 0.807 Put together -24 and 1.235. -22.765 What is -0.11408 less than -5? -4.88592 Calculate 41.9 - 0.2. 41.7 Add -0.3 and -134. -134.3 What is the distance between 1259 and 1.2? 1257.8 Work out 0.1 - -641.8. 641.9 Total of -42 and -2319. -2361 Sum 179 and -0.0306. 178.9694 What is -6383 minus -0.1? -6382.9 What is -6421 take away -0.2? -6420.8 What is 0.009 minus 0.4424? -0.4334 What is the distance between 0.3 and 0.02931? 0.27069 2+659 661 0.4 - 34877.3 -34876.9 Put together 0.12 and 22756. 22756.12 Calculate -4 - 3.49062. -7.49062 0 + 1217891 1217891 Add 0.4 and -35005. -35004.6 What is -54.4 plus 121? 66.6 Total of 0.04563 and 345. 345.04563 -2967 - -22 -2945 What is 0 less than -3867? -3867 What is -637.9 less than -0.1? 637.8 What is -0.6 take away 0.0743? -0.6743 Add -2 and 0.813. -1.187 Calculate -0.08 - 0.091. -0.171 Calculate -21 + -145. -166 What is 32.68 less than 9? -23.68 What is the distance between -0.045 and -0.44? 0.395 Total of 8098432 and -1. 8098431 What is the difference between -1.3 and 27.8? 29.1 Work out 2488 - -4. 2492 Calculate 2762 + 0.061. 2762.061 What is -20 less than 118925? 118945 What is -0.3 - -1.1836? 0.8836 What is -85 + -0.5? -85.5 0.0373+-10.98 -10.9427 Put together -5 and 170.6. 165.6 Work out 0.0084 - 0.13. -0.1216 -1.17 - -15 13.83 Subtract 17.8 from -0.7. -18.5 What is -1467 plus 0.11? -1466.89 Calculate -0.067 + 231. 230.933 What is -2.59 minus 10.76? -13.35 What is 0.017431 - -0.29? 0.307431 Work out 3 - 9.594. -6.594 Total of 365783 and -1.7. 365781.3 Calculate -40.2 - -0.334. -39.866 Subtract -0.598 from -0.23954. 0.35846 What is the distance between -446 and -2.68? 443.32 Subtract 5.38 from -0.4. -5.78 -1578 - 6 -1584 Subtract 59453 from -88. -59541 Work out -0.02 + 493. 492.98 What is 661996 - -0.1? 661996.1 What is -2878679 less than 0.5? 2878679.5 Add together 4.5 and -0.00548. 4.49452 61572+0.1 61572.1 Sum -12 and -57. -69 Calculate -3 - 13167. -13170 0.8+-7.5 -6.7 0.2+275 275.2 What is -1669 take away -38? -1631 Work out -25 - 0.38. -25.38 Calculate 6.2 - -2. 8.2 What is 10 take away 49.15? -39.15 Total of 0.2 and -211800. -211799.8 Put together 0.08 and -1679. -1678.92 28496.5+-4 28492.5 Add 27.968 and 16. 43.968 641028 - -0.4 641028.4 Total of -10 and -26. -36 What is -21 less than -151? -130 What is -476 take away -6? -470 Put together 275 and 0.2053. 275.2053 Subtract -4 from 0.007. 4.007 What is 66.9 + -0.18? 66.72 457 - -3395 3852 Total of -0.3 and 0.212402. -0.087598 1.2 - 73 -71.8 Put together -580 and -97. -677 What is -7777 less than 10? 7787 Work out -10304 - 0.08. -10304.08 Put together -0.06 and 45.1641. 45.1041 Add together 2105872 and 0.1. 2105872.1 Add 116 and -3.788. 112.212 5 - 926.5 -921.5 What is -0.096432 - 0.5? -0.596432 Add together -1876 and -0.1. -1876.1 Work out 1 - -2001. 2002 What is the distance between -2122 and -2? 2120 Total of -0.3 and -8.518. -8.818 Calculate 0.035 - 165. -164.965 Add together -0.5 and -1.79. -2.29 What is -5 less than -2514752? -2514747 Add -0.1 and -120251. -120251.1 Add 3414 and -410. 3004 -257.7+-0.4 -258.1 What is 3599 less than 0.35? -3598.65 Work out 603 + -90. 513 What is 0.0224 minus 1972.2? -1972.1776 Work out 18033 + 9. 18042 Add together 0.08 and 0.0028. 0.0828 0.5+-2336.593 -2336.093 -151 - 0.00619 -151.00619 What is -10 minus 111? -121 Work out -0.17 + -3855. -3855.17 What is the distance between 1.02922 and -2? 3.02922 -4.54546 - 0.2 -4.74546 What is the distance between 0.09 and 0.02? 0.07 Total of 7.2 and -5.4. 1.8 What is 0.024 less than -0.07839? -0.10239 Work out 0.4 + 0.2014. 0.6014 What is 4 - -12825? 12829 Put together 2 and -944952. -944950 What is 11 - -14079? 14090 Put together 0.0862 and -54. -53.9138 What is -8 plus 4.6? -3.4 Add -0.3 and 92.963. 92.663 Work out 5 + 610486. 610491 What is -2 take away 3.17? -5.17 What is 0.5 take away 0.00317? 0.49683 What is the distance between -0.11 and 5923? 5923.11 What is 0.0208 plus -0.0044? 0.0164 Put together 0.2 and -141.1. -140.9 What is the distance between -0.0237 and 0.5? 0.5237 What is -0.2 + 14.62664? 14.42664 What is 1421521 minus
{ "pile_set_name": "DM Mathematics" }
8). Which is smaller: -80 or t? t Suppose 5*n = 3*q + 132 + 53, -4 = 2*n. Let y be q*(14/(-49) + (-10)/14). Is 65 equal to y? True Let u = -301119/32035 - 2/6407. Is -10 at most as big as u? True Let n(f) = -f**3 - 10*f**2 + 11*f + 2. Let k be n(-11). Suppose -b = -k*b. Suppose 4 = 3*y - a, 2*y + 0*a + 4*a - 12 = b. Is 0.5 bigger than y? False Let p(x) = 14*x**2 + 8*x - 11. Suppose 0 = 4*k + 3*k - 21. Let z be p(k). Which is smaller: 138 or z? 138 Let d be 0 + 6/1 - 1. Let k = 1777/30 + -589/10. Which is greater: d or k? d Let w be (4/(-14))/((-20)/(-7)). Which is bigger: w or 1? 1 Suppose -3*l + g = -280 - 10, 0 = -3*l - 5*g + 314. Let y = 90 - l. Which is greater: y or -2/3? -2/3 Let c be (2 - 5)/(-3)*-21. Let a = -30 - c. Let l be (a/12)/((-6)/(-4)). Is 12 equal to l? False Let m be (-13)/(429/44) + (-2870)/(-6). Do m and 476 have different values? True Let n(o) = 133 - 3*o - 54 - 41. Let v be n(12). Let d = 3 - 2.9. Which is greater: d or v? v Suppose -5*m + 7 - 2 = -t, -2*m - 4*t - 20 = 0. Let i = 90847/155 + -2927/5. Let a = 488/775 - i. Which is smaller: m or a? a Let v be ((-36)/15)/(6/15). Is -9 at least as big as v? False Let i = -5 + 23. Suppose s - i = -0*s. Let m be (s/3)/(3 + -14). Which is bigger: m or -2? m Suppose j = 25 + 1. Let f = j - 18. Let x be f/30 + 3/(-9). Which is smaller: 0 or x? x Suppose i + 0 - 2 = 0. Suppose f + 2*o = -1, -2*f - 4 - 4 = -i*o. Let l be (-5 - f)/(28/10). Is -2 < l? True Let m(r) = -r**3 - 8*r**2 - 7*r. Let v be m(-7). Let f be (0 - -1)*((-15)/(-6) - -4). Let l = f + -89/14. Is l equal to v? False Suppose -b + 3 = 0, -4*b = -3*i + 569 - 107. Is i smaller than 158? False Let h = -3341845281/644 + 5189199. Let n = h - -3/92. Which is greater: -2 or n? n Let h = -837 - -837.39. Are h and 1/17 unequal? True Let d be 6/(-39) + 12936/56199. Which is smaller: d or 1? d Let c = 3.5 + -0.1. Let f = c - 3.4. Let r = -0.1 + f. Are 13 and r non-equal? True Suppose r = -3*r + 96. Suppose 0 = -g - 4*a + 3, 3*g + 0*a = -a - r. Let o be (6/g + 2)*1. Which is smaller: 0 or o? 0 Suppose l - 4 = -1. Suppose l*s - 7 = -4*s. Which is greater: s or 2? 2 Suppose 0 = -4*v - f - 4*f - 9, 5*f = -25. Let j = 16 - -5. Suppose 0 = -5*p + 2*m + 1 + 3, -5*m + j = 3*p. Which is bigger: v or p? v Suppose 0 = 6*v - v - 20. Let m be 2*((-2368)/(-546) - v). Let n = m + -2/273. Is n >= 16? False Let u = 775 - 830. Is u smaller than -169/3? False Let h be 2/(-4) - 15/(-2). Let f(s) = s**3 + 8*s**2 + 7*s - 1. Let v be f(-7). Let n = h - v. Do 8 and n have the same value? True Let i be ((40/5)/(-8))/1. Is -2/607 != i? True Let b be (-44)/(-10) - (-4)/(-10). Let n be (-11)/(-9) + 2*(-2)/b. Which is smaller: n or -1/5? -1/5 Let p be ((-2)/230)/(1*(-3)/6). Let q = -363/14260 + p. Is -1 greater than q? False Suppose 0*y - 2*b - 626 = 3*y, 4*y - 5*b = -804. Is y > 0? False Let q = -204 + 209. Which is smaller: 41 or q? q Let l = 13 + -12. Let x be l/(1 - 0)*5. Let h(k) = k**2 - 4*k - 3. Let b be h(x). Is 2 != b? False Let l = 2 + -3. Let a be ((-18)/3 - -3) + l. Let f = 3 + -6. Which is smaller: a or f? a Let s = -54 + 83. Suppose -j + 2*j + s = 0. Let i = j - -32. Which is smaller: 2 or i? 2 Let v = -115.5 - -0.5. Is -6 bigger than v? True Let a = 0.2 - 0.5. Let z = 0.68 + -0.98. Is a >= z? True Let b(k) = k + 6. Let v be b(-3). Suppose 2*m - 10 = -z + 4*z, z - v*m = -8. Let d = 3 + z. Which is smaller: d or 5/7? 5/7 Let z = -1407 - -648. Is z greater than or equal to -758? False Let y = -29 - -33. Let v be (-1)/y - 125/(-20). Do v and 7 have the same value? False Let t be (28/(-8) - -4)*-28. Suppose a - 25 = -4*a, -5 = 5*n - a. Suppose n = 2*l - 4*u + 34, l + 5*u = -2 - 1. Which is greater: l or t? l Let v be (-2)/1 - (-5)/1. Let p = 4 - v. Suppose 0 = -48*q - 153 + 9. Is p less than q? False Let v = -4 + 3.86. Let b be (2/4)/(3 + -4 - -3). Do v and b have the same value? False Suppose 14*n + 298 = 9*n - 4*m, 48 = -n + 5*m. Which is smaller: n or -55? n Let n(b) = -2*b**3 + 3*b**3 + 4*b**2 - 9 + 3 - 5*b. Suppose -i = -2*m - 6, 0 = 4*m - i + 2*i + 18. Let o be n(m). Which is bigger: o or 13? o Let p be 72/42*(-1 + 22). Let y be 6/4 + (-18)/p. Which is bigger: y or 2/19? y Suppose o + 18 = -18. Suppose 0 = -4*d + 4*s - 120, -6*s - 144 = 4*d - 4*s. Is o at least d? False Suppose 44 = -2*j + 48. Suppose -4*y + 36 = -j*r, -5*y + 27 + 31 = 4*r. Which is smaller: 7 or y? 7 Let k = -37 - -39. Suppose 86 = -3*g - 2*v, 5*g = k*v + v - 175. Let c be 16/(((-5)/2)/5). Is c bigger than g? False Let q = 83 + -83. Is q greater than or equal to 0? True Let r = 20/113 - 4352/22035. Do 1 and r have the same value? False Let c = 169 - 169. Is c equal to -1/4? False Let k = -851 - -850.985. Let d be -1 + 4 + (-55)/15. Is d at least as big as k? False Let r = -198 - -198.1. Which is bigger: -104/3 or r? r Let p(c) = 11*c**2 - 2*c + 2. Let r be p(1). Suppose -3*d - d = -5*k - r, 3 = 3*k. Suppose m + n = 5*n - 2, -2*n - 20 = -d*m. Which is greater: 4 or m? m Let v = -22 + -44. Let f = v - -38. Which is bigger: f or -29? f Suppose 0 = -3*l + 31 + 128. Let c = l + -55. Is c less than -2? False Suppose -3*w - 6 = -t - 4, 0 = -3*t - 3*w - 18. Let y be 4*((-6)/t)/(-3). Let p = 6 + -12. Is y at most as big as p? False Let y = -21 - -54. Let r = y - 31.3. Let p = -0.7 + r. Is p at least as big as -2.1? True Let m(j) = -2*j**3 + 2*j**2 - 5*j - 6. Let w be m(-2). Suppose -7*g = -3*g - 8. Let o be g - (-48)/w*-1. Which is bigger: o or 12? 12 Let f be -1*1 - (-7)/5. Let u = -291 - -291. Are f and u equal? False Let z be (-2 - 114/(-42))*1. Let f(y) = y**3 + y**2 - y + 1. Let w be f(0). Let q = 2 - w. Is z bigger than q? False Let g = 138 + -214. Is -229/3 != g? True Let l be (-3)/45*45/99. Which is smaller: 0 or l? l Suppose -2*c = a + 3*a - 22, 0 = -4*c - 4*a + 28. Let o = -79.4 - 9.6. Let x = -84 - o. Which is bigger: c or x? x Let u = 1.71 + -2.71. Is u bigger than 97? False Let l be 3/1*15/9. Suppose -l*f + p = -2*f - 65, -p + 15 = f. Let s be ((-6)/20)/((-24)/f). Which is smaller: -1 or s? -1 Let w(i) = -3*i**3 - 6*i**2 + 6. Let n be w(2). Are -43 and n equal? False Let p(v) be the second derivative of -6*v + 1/6*v**3 + 0 + 1/2*v**2. Let w be p(-3). Which is bigger: w or 2? 2 Let h = -49 + 70. Is h bigger than 3? True Suppose 4*d - 8*d = -5*s + 19, 0 = -2*d - s + 1. Let o = -398 + 5974/15. Is o less than d? False Let k be 1 + 1 + 432/102 + -7. Which is greater: k or 0? 0 Let k(z) = 0*z - 2*z - 13 + 0*z - 2*z. Let h be k(-5). Is 9 equal to h? False Let x = -10 + 28. Suppose -3*l + 0*l = -x. Suppose -3*j + l*j = -3. Is j greater than or equal to -1? True Suppose 0 = 4*m - 4*k - 28, -9*m - 5*k = -13*m + 32. Which is smaller: m or -2/25? -2/25 Let h = 446 + -445.6. Are h and -0.047 equal? False Let d(b) = b**3 + 20*b**2 - 16*b + 73. Let t be d(-21). Does t = -340/11? False Suppose 4*n + p - 13 = 0, 3*n + 5*p - 14 = 17. Let k be 96/(-50)*5/n. Is k at most -5? False Let u = 0.3 - 0.1. Let l = -88644 + 445158/5. Let h = l + -389. Is u smaller than h? False Let a = 220 + -220. Which is greater: 1027 or a? 1027 Suppose -3*s = 2*c - 7*s + 218, -3*c = -5*s + 322. Let v = c + 69. Is -30 smaller than v? False Let g be 4*(3 - 0)*4/(-128). Let i = -8 - -14. Let s = -8 + i. Is g bigger than s? True Suppose 77*s - 232 = 69*s. Which is greater: s or 32? 32 Let c = -57 - -60. Suppose -3*u + 4*h = 163, c*h - 165 = 2*u + u. Is u smaller than -56? True Suppose -16*g - 2002 = -93*g. Is 26 at most as big as g? True Let i(k) = -2*k + 2. Let l be i(2). Let v be 0 + 12/(-4) + l. Suppose -n - 42 = 6*n. Is v at least n? True Let f = -15.23 + 0.23. Let b = -10.7 - 1.3. Let u = b - f. Is u at least as big as 1? True Let b(a) = a**2 + 14*a - 3. Let m(k) = k**2 + 14*k - 4. Let l(v) = -5*b(v) + 4*m(v). Let g be l(-14). Which is smaller: 3 or g? g Let a = -1044.22 - -1045. Which is smaller: 9 or a? a Let g = -3 - -1. Let j = 38 + 27. Let n = 65 - j. Is g at least n? False Suppose 0 = -19*c - 6*c - 650. Are c and -7 equal? False Suppose -2*l - 26 = 4*i, -8 = 2*l - 2. Let w = 17 + i. Let m be ((-4)/156)/(4/w). Is -1 at least m? False Let x = -700 - -699. Are x and 49 non-equal? True Suppose -74 = 15*w + 1471. Is w greater than or equal to -91? False Let l(g) = 4*g - 4. Let q be l(4). Let w be (-4)/26
{ "pile_set_name": "DM Mathematics" }
-5*x + 13*c = 12*c - 82, 4*x - 5*c = 74. Suppose -x*b + 73 - 9 = 0. Let f(g) = -g**2 + 4*g + 5. Give f(b). 5 Let y(r) = -5441*r**3 - r - 5473*r**3 + 11038*r**3. Determine y(-1). -123 Let s(h) = 4*h**3 + 55*h**2 + 158*h + 71. Let g(a) = a**3 + 14*a**2 + 41*a + 18. Let z(d) = 23*g(d) - 6*s(d). Give z(-8). 28 Let i(w) = 5*w + 1. Let c be (3 - -3)*(-3)/9*-1. Suppose -c = -2*h - 2*k + 2, 9 = 3*k. Let y(a) = -1. Let x(d) = h*i(d) - 4*y(d). Determine x(4). -17 Let m(p) = 3*p - 2. Let h be 1648/104 - (-4)/26. Suppose -5*q - h + 6 = 4*n, -2*q - 2*n - 6 = 0. Suppose -b + q*b = -2. What is m(b)? -8 Let t(v) = v**2 - 2*v - 21. Suppose 5 - 29 = 4*n, -5*n - 42 = 4*p. Determine t(p). -6 Suppose -30 = -4*l + 3*n, -l + 2*n - 28 + 38 = 0. Let x(w) = -w**3 + 7*w**2 - 7*w + 13. Calculate x(l). 7 Let u(a) = -a - 7. Suppose 0 = -21*w + 5*w + 1152. Let l be (w/60)/((-6)/(-15)). Let k = l + -8. Give u(k). -2 Suppose -4*x = -0*x. Suppose 7*b = 2*d + 4*b - 41, 3*d + 2*b - 68 = x. Let g(l) = d*l - 46*l - 3*l**2 + 1 + 24*l. Determine g(-1). -2 Let m(f) = -8*f - 21. Suppose -7053 + 7648 = -85*o. Determine m(o). 35 Let x(b) = 2*b**2 - 366948*b**3 - 3*b**2 + 17*b + 366947*b**3 + 3 - 3*b**2. Determine x(-6). -27 Let g(m) = m**2 - 15*m**3 - 4*m - 6 + 4*m**2 + m**2 + m**2 - m. Let b(z) = -2*z**3 + z**2 - z - 1. Let v(h) = 5*b(h) - g(h). Give v(1). 4 Let k(t) = -1238 + 379 + t + 405 + 456. Let u(b) = b**3 + 5*b**2 + 3*b - 4. Let g be u(-3). Suppose g*l = -5*r - 10, -2*l = 2*l + 2*r + 10. What is k(l)? -1 Let h be (-1)/(-1 - 66/(-63)). Let b = -20 - h. Let y(x) = 3*x**2 - 2. Let w(a) = -2*a**2 + 1. Let u(d) = -3*w(d) - y(d). What is u(b)? 2 Let i(b) = -3*b**3 - 23*b**2 - 49*b + 27. Let x(g) = -7*g**3 - 44*g**2 - 98*g + 54. Let m(n) = 5*i(n) - 2*x(n). What is m(-25)? 2 Let o(k) = 0*k**2 + k**2 + 63 - 25 + 10*k - 48. Suppose 5*g = r - 1 - 7, 4*r + 37 = -3*g. Calculate o(r). -31 Let b(l) = -3*l - 8. Let f(n) = 2*n + 8. Let s(q) = -3*b(q) - 4*f(q). Suppose -3*p - 12 = -27. Suppose -2*m - 3*m - 5*t = -55, 0 = -m + 3*t - p. What is s(m)? -1 Let b(x) be the second derivative of -x**4/12 + 3*x**3/2 - 6*x**2 - 7058*x. Give b(7). 2 Let l(o) = -33*o**2 + 395*o + 11. Let i be l(12). Let u(c) = 51*c + 54. Determine u(i). 3 Let l(b) be the second derivative of -b**4/12 - 2*b**3 - 21*b**2/2 - 261*b + 1. Give l(-8). 11 Let m(y) = -y**2 + 307*y + 307. Let q be m(-1). Let a(d) = -7*d**2 + 2*d + 1. Calculate a(q). -8 Let m(i) be the second derivative of 7*i**5/20 - i**4/6 + i**2/2 + 1107*i + 1. Calculate m(-1). -8 Let f be -35 + 19 + (5 - 1). Let t(s) = -2*s**2 - 21*s - 42. Let o(m) = 3*m**2 + 31*m + 64. Let x(b) = 5*o(b) + 8*t(b). What is x(f)? -4 Let s be (-13 - -29)/(-32)*(-12 + 0). Let u(b) = 29*b - 189. Determine u(s). -15 Let g = 4407 + -4411. Let n(d) = -d**3 - 6*d**2 - d + 15. What is n(g)? -13 Let s(u) = -2*u + u**2 + u + u. Let j be -10 - (-38 - -13) - 18. Calculate s(j). 9 Let v(k) be the second derivative of -k**4/12 - 3*k**3/2 + k**2/2 + k. Let g be -1545*((-171)/54 - 15/(-6)). Let n = 1022 - g. Give v(n). 9 Let r = -21 - -18. Let o be 0/(-1 - r/(-6)*0). Let c(p) = 3 + 3*p - 4*p - 6 - 10. Determine c(o). -13 Let a = 1651 + -1659. Let u(m) = 2*m**2 + 11*m + 1. Calculate u(a). 41 Suppose 27 - 3 = p. Let s = 24 - p. Suppose s = 3*d - 1 + 13. Let y(a) = 4*a + 1. Give y(d). -15 Let b(t) be the first derivative of t**4/4 - 25*t**3/3 + 43*t**2 - 33*t - 2147. Give b(21). 9 Suppose 49 = 21*f - 119. Suppose f + 0 = 2*g. Let q(y) = y**3 - 8*y**2 + 3*y + 1. Let c(o) = o**2 - o - 1. Let i(j) = -4*c(j) - q(j). Give i(g). 7 Let d(c) = -23*c**2 + 33*c - 15. Let z(h) = -10*h**2 + 16*h - 8. Let w(u) = -3*d(u) + 7*z(u). Give w(10). 19 Let n(p) = p**2 - 3*p + 2. Let q be -159 - -176 - 7*2. What is n(q)? 2 Let h(c) = -2*c**2 - 16*c - 4. Let j be h(-8). Let y(v) = -v**3 - 2*v**2 + 8*v - 6. What is y(j)? -6 Let k(m) = -2*m**2 - 2*m + 31. Let j(c) = c**3 - 16*c**2 + 11*c + 64. Let y be j(15). What is k(y)? -9 Let n(s) = -s**3 - 3*s**2 + 2*s - 6. Suppose 9*g = -5*g + 560. Suppose 0 = 2*j + g - 32. Give n(j). 2 Let a = 70662 - 70653. Let q(s) = 9*s - 28. Let o(h) = -3*h + 9. Let d(z) = 11*o(z) + 4*q(z). Give d(a). 14 Let j(c) = -3 + 2 - 36*c**3 - 351*c - 37*c**3 + 352*c + 72*c**3 - 3*c**2. What is j(-3)? -4 Let q(v) = v**3 - v**2 + 1. Let j(u) = -2*u**3 + 9*u**2 + 4*u - 9. Suppose -x = 3*x + 4. Let g(m) = x*j(m) - 3*q(m). Let n = 41 - 46. Determine g(n). 1 Let u(z) = -3*z**3 + 6*z**2 - 9. Let q(d) = -7*d**3 + 12*d**2 - 18. Let m(r) = 2*q(r) - 5*u(r). Calculate m(6). 9 Let r(j) = j**3 - 6*j**2 - j + 1. Let z = -9 - 50. Let d = z + 72. Suppose 25 = -5*i, -5*m - 2*i + 33 = d. Calculate r(m). -5 Let g(l) be the first derivative of -l**6/120 - l**5/6 - l**4/24 - 2*l**3/3 - l**2 + 15*l + 135. Let y(s) be the second derivative of g(s). Determine y(-10). 6 Suppose -2*w + 1 + 3 = 2*l, 0 = -w + l. Let t be 147/(-56)*-2*(-4)/(-3). Let o(p) = -3*p**3 + 2 - 8 + 6*p**3 - 2*p**2 + t. What is o(w)? 2 Let o(m) = 26694 + m**2 - 13351 + 3*m**3 - 13344. Let f(k) = -k**3 + 4*k**2 - 1. Let a be f(4). Determine o(a). -3 Let y(x) = x**3 - 5*x**2 + 4*x - 2. Let p = -32 + 36. Let a be (-1)/1 - (p - 8). Let n be (-4 - -7)*2/a. What is y(n)? -6 Let q(p) = -p**3 - 14*p**2 - 29*p + 3. Suppose -7908 = 210*k + 449*k. Calculate q(k). 63 Let z(s) = -s. Suppose 2*c + 2*i = c + 7, 8 = 4*c + 3*i. Let p(q) = -1. Let a(r) = c*z(r) - 3*p(r). Calculate a(0). 3 Let o(d) = -d**3 - d**2 + d + 32. Let l be (28/12 + -3)/((-1)/426). Let u = l - 284. What is o(u)? 32 Suppose -2*v = -q + 7, -2*q - 2*q + v = 7. Let s(z) be the first derivative of 3/2*z**2 + 3*z - 552. Calculate s(q). -6 Let n(t) = -t**2 - 2*t + 14. Let o = 173 + -162. Suppose -o*j = -8*j - 2*j. Determine n(j). 14 Suppose -2 - 11 = -s. Let f(r) be the first derivative of r**2/2 - 21*r + 77047. What is f(s)? -8 Let x be (2 - 3)/(1/(-6)). Let m(h) = 5*h**2 + h - x + 3 + 1 - h**3 + 3*h**2. Suppose 9*d - 32 = 40. Calculate m(d). 6 Let q(d) = -d**2 - 20*d + 19. Let o(v) = v**2 + 21*v - 18. Let h(f) = -4*o(f) - 5*q(f). What is h(-17)? -6 Let v = -36351 - -36354. Let i(c) = -3*c**2 + 4*c - 5. Determine i(v). -20 Let b be 0/(5/(-15)*-9). Suppose -p - 12 = -4*u + 8, -3*u - p + 15 = b. Let j(o) = -8*o + 4 + u*o - o**2 + 2*o**2 + 2*o. Give j(0). 4 Let d = 83 - 47. Let m = 91 + -51. Let h(w) = d - m + 3*w + w. Calculate h(4). 12 Let r(j) = 4788*j - 6 + 2*j**2 + 2*j**2 + 2*j**2 - 4782*j. What is r(1)? 6 Let w(r) = -r**2 + 6*r - 5. Let d(m) = m**2 - 3*m + 3. Let u(s) = -7*d(s) - 4*w(s). Suppose -11 = 8*i + 29 - 24. Give u(i). -7 Let l(r) = -271806 + 136590 + 135907 + 43*r. Give l(-16). 3 Suppose -27 = -2*j + 99. Let u be (-6)/(-9)*j/14. Let l(o) be the first derivative of o**3/3 + o**2/2 - 4*o + 10. What is l(u)? 8 Suppose 141*k + 11*k = -1520. Let l(b) = -b**2 - 7*b + 34. Calculate l(k). 4 Let q(t) = 3*t**3 + 7*t**2 - 4*t - 4. Let s be (14 - (6 + (9 - 5))) + -7. Determine q(s). -10 Let x(v) = -v + 2. Let j(d) = -4*d - 26. Let z = 62 - 73. Let o be j(z). Suppose -6*l + 0*l = o. What is x(l)? 5 Let y(s) = -s**2 + 10*s + 9. Let h(i) = 2*i**3 - 11*i**2 - 41*i + 25. Let g be h(8). What is y(g)? -110 Let o be (-39)/(1 - 2200/2176). Let t be o/(-520) - (-8)/10. Let r(q) = -q**2 - 13*q - 9. Calculate r(t). 33 Suppose -4*q + 3*c + 13 = 0, 4*q + c = 6 + 11. Let b(l) = -19*l**2 + 11*l - 67. Let h(w) = -7*w**2 + 4*w - 25. Let a(u) = 3*b(u) - 8*h(u). Determine a(q). -13 Let z(q) be the third derivative of -14*q**2 + 5/6*q**3 + 1/24*q**4 + 3 + 0*q. Calculate z(-6). -1 Let l(b) = -126*b - 2*b**3 - b**2 + 67*b + 3 + 62*b. Determine l(-2). 9 Let i(b) be the second derivative of 8*b**3/3 + 3*b**2/2 - 76*b - 6. Give i(-4). -61 Let a(g) = 4*g + 3. Let y = 3096 - 3085. Suppose -5*t - 4*v + 16 = -0*v, 5*t - 4*v + 16 = 0. Suppose -6*c - y - 19 = t. Determine a(c). -17 Let k(y) = 13*y - 289. Let u(p) = 13*p - 237. Let i(h) = 5*k(h) - 6*u(h). Determine i(4). -75 Let w(n) = 2 - 6*n**2 + 155*n - 158*n - 912*n**3 + 913*n**3 - 1. What is w(3)? -35 Let h(k) = 4*k + 24. Suppose 80*n - 44*n = 44*n + 104. What is h(n)? -28 Let z(g) = -10*g + 65. Let w(n) = 10*n**3 - 1020*n**2 - n + 109. Let c be w(102). Give z(c). -5 Let r be (-12)/9 + (-264)/(-9). Let s(b) = 3*b - 2*b**2 - b**2 + r*b**3 - 26*b**3. Calculate s(2). 10 Let j(y) = -9*y*
{ "pile_set_name": "DM Mathematics" }
27? 16 Calculate -473 divided by 43. -11 Calculate -48 divided by -48. 1 What is -850 divided by 25? -34 What is -412 divided by 4? -103 11 divided by 39 11/39 Divide 33164 by -2. -16582 26010 divided by -5 -5202 What is -1020 divided by 34? -30 What is -2 divided by -84? 1/42 What is 14448 divided by -3? -4816 -1520 divided by -4 380 Calculate -206 divided by -4. 103/2 Calculate -80 divided by -20. 4 What is -244 divided by 61? -4 Divide 95 by 9. 95/9 -5 divided by -5726 5/5726 Calculate 4 divided by 1024. 1/256 What is 4 divided by 231? 4/231 0 divided by -721 0 What is 7 divided by -313? -7/313 8 divided by 5 8/5 What is -176 divided by -8? 22 What is -716 divided by 358? -2 Divide -608 by 304. -2 -19912 divided by 2 -9956 -7 divided by 19 -7/19 What is 0 divided by -103? 0 -52 divided by 52 -1 Calculate 5085 divided by 5. 1017 776 divided by 2 388 What is -600 divided by 4? -150 Divide -4 by -402. 2/201 Calculate 1 divided by -178. -1/178 What is 1 divided by 63? 1/63 -5 divided by 1151 -5/1151 Divide -546 by 6. -91 What is 2368 divided by 592? 4 What is 2160 divided by -6? -360 Divide -20860 by -5. 4172 Calculate 786 divided by 1. 786 Calculate 16114 divided by 7. 2302 Calculate 5 divided by -55. -1/11 Divide 5 by -659. -5/659 What is -1 divided by 240? -1/240 Calculate -440 divided by 55. -8 -21 divided by 24 -7/8 Divide 338 by -20. -169/10 Divide -56 by -1. 56 -1104 divided by 16 -69 Calculate 11 divided by 31. 11/31 What is 1555 divided by -5? -311 136 divided by -8 -17 674 divided by 3 674/3 Calculate -3384 divided by 6. -564 Calculate -376 divided by 1. -376 Calculate 767 divided by 4. 767/4 Calculate -5 divided by -805. 1/161 Calculate 180 divided by -1. -180 Calculate 3 divided by 2392. 3/2392 Calculate 195 divided by -5. -39 Divide 2079 by -3. -693 What is -5 divided by 49? -5/49 0 divided by -8 0 Divide 4026 by -6. -671 Divide -43 by 1. -43 Calculate 6539 divided by -6. -6539/6 165 divided by -5 -33 -437 divided by 23 -19 Calculate 72 divided by -57. -24/19 71 divided by 38 71/38 What is -300 divided by 15? -20 Calculate -10908 divided by -2727. 4 -11 divided by 23 -11/23 Divide -276 by 12. -23 What is -6 divided by 12? -1/2 What is -534 divided by 178? -3 Divide 2431 by -187. -13 750 divided by -250 -3 -20144 divided by -1 20144 Divide -3040 by -8. 380 Calculate 103560 divided by -6. -17260 -1 divided by 96 -1/96 Calculate 2626 divided by -26. -101 Divide 604 by -4. -151 -2030 divided by -5 406 Divide -280 by 56. -5 Calculate 1010 divided by -5. -202 What is -2941 divided by -1? 2941 Calculate 6430 divided by 1286. 5 Divide 948 by -4. -237 Divide 3 by -97. -3/97 20 divided by -15 -4/3 274 divided by 9 274/9 Calculate 186 divided by 1. 186 What is -572 divided by 52? -11 0 divided by 175 0 Divide -5 by 6. -5/6 Calculate -5 divided by 1603. -5/1603 What is -842 divided by 4? -421/2 -1326 divided by -26 51 Divide 3 by -40. -3/40 Divide -13 by 38. -13/38 1 divided by 221 1/221 Calculate -53 divided by -21. 53/21 -36 divided by 9 -4 -57 divided by 82 -57/82 Calculate 2648 divided by -1324. -2 What is 119 divided by 5? 119/5 Calculate -18525 divided by 5. -3705 What is 7 divided by 337? 7/337 Divide -277 by -6. 277/6 What is 549 divided by -9? -61 Divide 0 by 44. 0 886 divided by -886 -1 What is -84 divided by -14? 6 Divide -1 by 2055. -1/2055 756 divided by 1 756 Divide 366 by 3. 122 Calculate -105 divided by 6. -35/2 Divide -148 by 74. -2 What is 2684 divided by -3? -2684/3 Divide -14876 by 2. -7438 Calculate -34 divided by 34. -1 What is 1180 divided by 295? 4 -1504 divided by 8 -188 Calculate 80 divided by -10. -8 -3456 divided by 432 -8 What is -4053 divided by -3? 1351 Divide -24 by -12. 2 -3 divided by 13 -3/13 3 divided by -437 -3/437 What is -462 divided by -7? 66 What is 891 divided by 27? 33 Calculate -1 divided by -276. 1/276 What is -4497 divided by -2? 4497/2 Calculate -728 divided by -28. 26 Calculate -36 divided by 12. -3 What is 0 divided by 1142? 0 -2 divided by -111 2/111 Calculate 2 divided by -353. -2/353 What is 72 divided by 6? 12 Calculate 481 divided by -14. -481/14 -2592 divided by 648 -4 Divide -3790 by -758. 5 Calculate 1290 divided by -6. -215 Calculate -263 divided by -2. 263/2 60 divided by 30 2 -329 divided by -6 329/6 -1 divided by -85 1/85 Calculate -2 divided by -37. 2/37 -185 divided by 13 -185/13 16 divided by 4 4 What is 140 divided by -7? -20 Divide -3952 by 2. -1976 Calculate -1248 divided by -312. 4 21256 divided by 4 5314 What is 2731 divided by -1? -2731 Calculate 85 divided by -29. -85/29 What is 2 divided by -1823? -2/1823 Divide 17 by 14. 17/14 What is 278 divided by -6? -139/3 -148 divided by -74 2 Divide 1659 by 5. 1659/5 What is 8 divided by 8? 1 Calculate 4 divided by 19. 4/19 -966 divided by 14 -69 Calculate 0 divided by -95. 0 -3236 divided by -3236 1 -258 divided by -1 258 What is 6948 divided by -2? -3474 1290 divided by 5 258 -24897 divided by -8299 3 Divide 1690 by 10. 169 6875 divided by 625 11 Divide 53 by -3. -53/3 465 divided by 5 93 Divide -5920 by 2. -2960 -21840 divided by -14 1560 -18 divided by 78 -3/13 What is 46 divided by 21? 46/21 Divide 5880 by -6. -980 Divide -1690 by -5. 338 -5000 divided by 1250 -4 What is -224 divided by -7? 32 What is 972 divided by 54? 18 What is -34 divided by -152? 17/76 What is -975 divided by -195? 5 Divide 272 by -16. -17 Divide -387 by -9. 43 Calculate 78 divided by 6. 13 What is 4 divided by 554? 2/277 Calculate -3 divided by -15. 1/5 Divide 1079 by 83. 13 Divide -43 by -43. 1 4446 divided by -38 -117 Divide -1411 by 83. -17 Calculate -280 divided by -70. 4 Calculate -4 divided by 1451. -4/1451 -290 divided by 145 -2 What is 1860 divided by -1860? -1 0 divided by 4336 0 Divide 3 by 1038. 1/346 4632 divided by 193 24 Divide -112 by -4. 28 80 divided by -8 -10 What is 7 divided by -8? -7/8 1720 divided by -215 -8 Divide -7315 by 4. -7315/4 What is 5 divided by 170? 1/34 Divide -10 by 130. -1/13 Divide 829 by 829. 1 -582 divided by -4 291/2 160 divided by 40 4 Calculate 342 divided by -1. -342 5 divided by 14 5/14 Divide -5472 by 96. -57 Calculate -3040 divided by 760. -4 What is -271 divided by 5? -271/5 What is -4948 divided by -4? 1237 -14465 divided by 1 -14465 Calculate 585 divided by -1. -585 Calculate 45 divided by -1. -45 Divide 69 by 3. 23 725 divided by -25 -29 Divide 0 by 18. 0 91 divided by -19 -91/19 Divide 192 by 4. 48 Divide 4115 by 5. 823 Divide -84 by -71. 84/71 What is 1 divided by 588? 1/588 Divide 19 by -19. -1 87 divided by 6 29/2 -1889 divided by 14 -1889/14 Calculate -8 divided by -4. 2 Calculate 216 divided by 9. 24 -10794 divided by 7 -1542 Divide -65 by -1. 65 Calculate 2 divided by -144. -1/72 Divide -162 by 12. -27/2 What is -929 divided by -3? 929/3 5 divided by 46 5/46 What is 9328 divided by 22? 424 0 divided by 452 0 Divide 3645 by 3. 1215 Divide 61848 by 6. 10308 Divide -36 by -2. 18 Calculate 4026 divided by -33. -122 Divide -1 by 57. -1/57 What is 159 divided by -5? -159/5 Divide -1350 by -3. 450 What is 306 divided by 51? 6 -1372 divided by -14 98 Divide 7 by 1. 7 Calculate -144 divided by -48. 3 8 divided by -54 -4/27 -2 divided by -10 1/5 What is -2049 divided by 683? -3 56 divided by -56 -1 Calculate -873 divided by -291. 3 Calculate -5 divided by 28. -5/28 What is -10 divided by 70? -1/7 Calculate -159 divided by 6. -53/2 Divide 2205 by 3. 735 Divide 747 by 83. 9 982 divided by 1 982 -810 divided by 6 -135 -485 divided by 5 -97 Calculate 5 divided by -17. -5/17 -81 divided by 81 -1 What is 70483 divided by 5? 70483/5 -64 divided by 2 -32 Divide -25088 by -6272. 4 What is -70 divided by 82? -35/41 Divide -38 by -12. 19/6 Calculate -194 divided by 97. -2 What is 302 divided by -1? -302 Calculate 55 divided by -11. -5 Calculate 3654 divided by -3. -1218 Calculate 370 divided by -2. -185 What is 5 divided by -22? -5/22 -354 divided by -3 118 Calculate -3558 divided by 4. -1779/2 Calculate 0 divided by 38. 0 What is 16560 divided by 5? 3312 Calculate 8874 divided by 1. 8874 Divide 3 by 108. 1/36 Calculate 495 divided by 5. 99 What is -20 divided by -7? 20/7 What is 5102 divided by 2? 2551 What is 348 divided by 3? 116 Divide 4952 by 619. 8 0 divided by -2055 0 Calculate -1180 divided by -20. 59 Divid
{ "pile_set_name": "DM Mathematics" }
What is the nearest to 0 in -39, -4, 2/7? 2/7 Which is the nearest to 0.3? (a) 2 (b) -1/3 (c) 0.38 (d) -2/7 c Which is the nearest to -336? (a) -3 (b) 0.1 (c) -0.1 a Which is the closest to -0.3? (a) 9 (b) -0.4 (c) 4 (d) 3 b What is the closest to -0.2 in -1/3, 1, 0.1? -1/3 Which is the closest to 2/5? (a) -1/4 (b) -1.2 (c) 3 (d) -3 a What is the closest to -2 in -15, 2/15, 1, 4? 2/15 What is the nearest to 0.1 in -1, 4, 1/5, 0.28? 1/5 What is the nearest to -2/3 in 4, 3, 0.072, -2/9? -2/9 What is the closest to -1 in -0.1, -22/3, 0? -0.1 What is the nearest to 1/2 in -5/2, -0.3, -5, 7? -0.3 Which is the nearest to -1/2? (a) 5 (b) 0.1 (c) -0.14 (d) -3 c What is the closest to -1 in -1/9, -0.5, 0.3, 0.5? -0.5 What is the nearest to -1/2 in 63, 1/2, -0.15? -0.15 Which is the nearest to 0.1? (a) 1.8 (b) 4/9 (c) -17 b Which is the nearest to -6? (a) 3 (b) 6 (c) -0.2 c What is the nearest to 1 in 4, 0.09, 0, 0.2? 0.2 What is the nearest to -3 in -2, 0, 6? -2 What is the closest to -2 in -0.1, -2/27, 4, -2/41? -0.1 What is the closest to 0 in -4, 0.55, -1/2? -1/2 Which is the closest to 3/2? (a) -0.12 (b) 4 (c) 1 c What is the closest to -0.1 in -1, 2/3, -2? 2/3 What is the closest to -0.1 in 3, -89, -0.5? -0.5 What is the nearest to -50 in -2/11, -17, 3/7? -17 Which is the nearest to -21? (a) 2/9 (b) -1.1 (c) 4 b What is the closest to -0.01 in 0.5, 45, -2? 0.5 Which is the closest to -2? (a) -0.5 (b) 1/11 (c) -2/7 (d) 2/3 a Which is the closest to -1? (a) -8 (b) -0.5 (c) -11 (d) 2 b What is the closest to -9 in 1/8, 0.2, 2/3, -1/5? -1/5 Which is the nearest to -2/5? (a) 3 (b) -8 (c) 0.4 (d) 1/3 d What is the closest to -0.2 in 4, -0.5, -5/6, -6/5? -0.5 Which is the nearest to -2? (a) 3 (b) -3/4 (c) -0.05 (d) -3 d What is the closest to -0.03 in 38, 0.1, -0.3? 0.1 Which is the closest to -2? (a) 0.5 (b) 4 (c) -0.2 (d) -169/3 c What is the nearest to 0 in 5, -0.05, -1/9? -0.05 Which is the closest to 1/3? (a) -9 (b) 0.1 (c) -1/52 b Which is the nearest to -0.2? (a) 0.03 (b) -30 (c) 2 (d) 1 a Which is the nearest to 2/3? (a) -168 (b) -4/3 (c) 4 b Which is the closest to -2? (a) 16 (b) -1 (c) -5 (d) -5/2 d What is the nearest to 21 in -1, 0.3, -3? 0.3 What is the closest to -2 in -10, 0.2, 5, -0.3? -0.3 What is the nearest to -2 in 9, -1, 4/9? -1 Which is the closest to -5/4? (a) 4 (b) -2/11 (c) 0.1 (d) -5 b What is the closest to 2 in -8, 4, -0.1? 4 What is the nearest to 2 in -0.6, -48, -0.3, -0.5? -0.3 What is the nearest to -0.2 in -2, -0.2, -4, 0? -0.2 Which is the nearest to 0? (a) 5 (b) 6 (c) -2/13 c Which is the closest to 1/5? (a) -0.2 (b) -1/3 (c) -2/15 (d) -7 c Which is the nearest to 0.2? (a) 0.2 (b) -0.12 (c) -0.4 (d) -4 a Which is the closest to -3? (a) 0.07 (b) -3 (c) -43/6 b Which is the nearest to -0.05? (a) 70/3 (b) -2 (c) -1 c Which is the closest to -1? (a) -1 (b) 0.03 (c) 1/3 (d) -0.1 a Which is the closest to -6.3? (a) -3/7 (b) 0 (c) 3 a Which is the nearest to -1? (a) -2/7 (b) 0.6 (c) 0.17 (d) 13 a Which is the closest to -0.07? (a) 0.1 (b) -0.4 (c) 0.11 a What is the closest to 2 in -16, -4, -1, -3? -1 What is the closest to -2 in -1/4, 2/5, 0.7? -1/4 Which is the nearest to -1? (a) 1/4 (b) 4 (c) -30.3 (d) -2 d What is the nearest to 24 in -19, 0.5, -2/7, 5? 5 What is the closest to 0 in -11, 3, 1.8? 1.8 What is the closest to -2/29 in -1, -2/9, -0.4? -2/9 Which is the closest to 0? (a) -0.4 (b) -20 (c) 4 (d) 0.08 d Which is the closest to 0.2? (a) -0.1 (b) 3 (c) 5 a Which is the closest to -1? (a) 5.1 (b) 0 (c) -8 b What is the closest to -20 in 2/5, 2/21, -1, -0.4? -1 What is the closest to -18 in 0, 2, 1/9? 0 What is the nearest to -1 in 5, -0.5, -1/6? -0.5 Which is the nearest to 0? (a) 2/695 (b) 4 (c) -2/11 (d) 0.2 a What is the closest to 1 in 0.01, 2, -5, -1/3? 0.01 Which is the nearest to -0.1? (a) -16 (b) -0.2 (c) -4 (d) 2/5 b What is the closest to 5.5 in -3, -51, 1? 1 Which is the nearest to -0.5? (a) 0 (b) 2 (c) 0.7 (d) -2 a Which is the closest to -3? (a) -0.48 (b) -1/5 (c) 0 (d) 0.3 a Which is the nearest to 140/9? (a) 6 (b) -0.1 (c) -5 a What is the nearest to -0.1 in -1, -0.199, -2/7? -0.199 What is the nearest to -1/2 in -4, 1/3, 1, 0.1? 0.1 What is the nearest to -85 in 1, 2/3, -0.1? -0.1 Which is the closest to 0.3? (a) -2 (b) 2/17 (c) 656 b Which is the closest to 251? (a) 0.3 (b) 0.02 (c) 2 c What is the closest to 870 in 3, -0.4, 0.5, 0.4? 3 What is the closest to -30 in 1, -4, -1? -4 Which is the nearest to -2/3? (a) 0 (b) 2 (c) 333 a What is the nearest to 9 in 0.2, -2, 0.1, -5? 0.2 Which is the nearest to 3? (a) 2/5 (b) 1/4 (c) -0.3 a Which is the closest to 0? (a) -0.1 (b) -0.036 (c) 3 (d) -2/17 b Which is the nearest to 0? (a) -6 (b) 0.2 (c) 85 b Which is the closest to -2/7? (a) 44 (b) 4 (c) 1 c What is the closest to -0.2 in -2/7, -3/4, 3/4, 7? -2/7 Which is the closest to 2? (a) -0.5 (b) -1/6 (c) 4/9 (d) 2 d What is the nearest to 0.02 in 2, -0.4, 4, -2? -0.4 Which is the closest to 1/4? (a) -1/5 (b) -4 (c) 0 (d) -35 c Which is the closest to -1/2? (a) -5/4 (b) -0.046 (c) -12 b What is the closest to 1 in 6, -70, 5, 0? 0 Which is the nearest to 0.084? (a) -2 (b) -3/4 (c) 5 b Which is the nearest to 0? (a) -0.144 (b) 4 (c) 0.04 (d) -0.3 c Which is the nearest to 0.1? (a) 10 (b) 0 (c) -1/2 b What is the nearest to 0.1 in 7, 5, -0.1? -0.1 What is the nearest to 0 in 30, -3, 0.1, -0.4? 0.1 What is the closest to -1 in -1/6, -6/53, 2/25, 0? -1/6 Which is the nearest to -0.1? (a) 2 (b) 0.05 (c) 1 b What is the nearest to 2/3 in -24, -5, -4, 5? 5 What is the nearest to 0.1 in 4, -4/3, 1/2, -10? 1/2 Which is the closest to -1/2? (a) -2 (b) 2/5 (c) 0.06 c Which is the nearest to 2/5? (a) 12/11 (b) 4/7 (c) 20 b Which is the nearest to 0? (a) 4 (b) 58 (c) -12 a What is the closest to 1/3 in 5/6, 0.5, -1, 6? 0.5 What is the nearest to 3 in 0.3, -1/95, 2/9? 0.3 Which is the nearest to -2/689? (a) 0.2 (b) -14 (c) -0.4 (d) -3 a Which is the nearest to -9? (a) 1/4 (b) 4 (c) 3/10 a What is the closest to 0.2 in -4, -3, 5? -3 Which is the closest to 2? (a) -2/13 (b) 2/7 (c) -4/7 (d) 0.2 b Which is the nearest to 0? (a) 0.039 (b) -2/7 (c) -3 a Which is the closest to 0.3? (a) -1.7 (b) -0.5 (c) -1/5 (d) 5 c Which is the nearest to 1/2? (a) 2/5 (b) -3/4 (c) -0.1 (d) 1/7 a Which is the nearest to 4? (a) -2.5 (b) 1 (c) 1/2 (d) 0 b Which is the nearest to -0.01? (a) -0.2 (b) -1 (c) 6 (d) 2 a Which is the nearest to 0.1? (a) -0.014 (b) -7 (c) -4 (d) -5 a What is the nearest to -15/43 in 5, 4, -1/7? -1/7 What is the closest to 2/3 in -0.22, -4, 0.5, 3/8? 0.5 Which is the nearest to 0.04? (a) 6 (b) 1/3 (c) -1/6 (d) 1/10 d What is the closest to -10 in 0, 0.5, -1, -5? -5 What is the closest to -0.1 in -4, 19, 1.3, 0.2? 0.2 What is the nearest to -2/5 in -3/193, -3, -2/9, 4? -2/9 What is the closest to -2 in -0.07, -2, -2/5, -16? -2 What is the nearest to 1 in -1/21, 0.07, 3/4? 3/4 What is the closest to -2/11 in 14, 0.3, 0.2? 0.2 Which is the closest to 46? (a) -1 (b) -3 (c) 1 (d) 2/5 c Which is the nearest to 14? (a) -0.3 (b) -1/27 (c) 3 c Which is the nearest to 9? (a) 0.3 (b) 0 (c) -8 a What is the nearest to 1/2 in 1/5, -1, 5? 1/5 What is the nearest to 5 in 0.3, 7, 0? 7 Which is the closest to 2/7? (a) 4/9 (b) 2 (c) 0.314 c What is the closest to -0.2 in -4/3, -0.054, 4/9? -0.054 Which is the nearest to -2? (a) 1 (b) 0.3 (c) 0.8 b Which is the closest to 0? (a) 0.5 (b) -2 (c) -0.02 (d) -4 c What is the closest to 12 in -0.2, 1, -0.3? 1 What is the nearest to 2 in 2/5, 3, -2/61? 3 Which is the closest to -1/3? (a) 2/11 (b) 0.3 (c) 2/9 (d) 1/15 d What is the closest to 1 in 2, -4, 1, -0.1? 1 Which is the nearest to -0.2? (a) -0.3 (b) -13 (c) 0 (d) -4 a What is the nearest to -1/3 in 5, 1/6, 2/3, 9? 1/6 What is the nearest to -0.7 in -2, -0.1, -5? -0.1 What is the nearest to -1/2 in -4, 5, 4, 12? -4 What is the nearest to -8 in 23.4, 2, -0.5? -0.5 Which is the closest to -0.1? (a) -3 (b) 5/3 (c) 37 b Which is the closest to -1.6? (a) 0.1 (b) -0.01 (c) 0 b Which is
{ "pile_set_name": "DM Mathematics" }
213, 1894663 What are the prime factors of 221315132? 2, 55328783 List the prime factors of 162785448. 2, 3, 7, 46141 What are the prime factors of 1318665941? 31, 73, 18797 List the prime factors of 13965650. 2, 5, 37, 7549 List the prime factors of 71606757. 3, 23868919 What are the prime factors of 200726671? 9161, 21911 List the prime factors of 3596876554. 2, 29, 3041, 20393 What are the prime factors of 44920692? 2, 3, 1247797 List the prime factors of 344631938. 2, 7, 24616567 What are the prime factors of 68797383? 3, 22932461 What are the prime factors of 2065290506? 2, 29, 35608457 What are the prime factors of 103937648? 2, 293, 22171 What are the prime factors of 944496878? 2, 13, 19, 1911937 List the prime factors of 52090189. 1063, 49003 List the prime factors of 74339810. 2, 5, 17, 437293 List the prime factors of 335265824. 2, 103, 101719 What are the prime factors of 4649125004? 2, 61, 19053791 List the prime factors of 843800678. 2, 7, 17, 19, 23, 61 What are the prime factors of 6925446? 2, 3, 11, 89, 131 List the prime factors of 47922978. 2, 3, 19, 163, 2579 List the prime factors of 3968352716. 2, 992088179 What are the prime factors of 477846663? 3, 7, 22754603 List the prime factors of 88184024. 2, 23, 37, 12953 What are the prime factors of 4311824358? 2, 3, 718637393 List the prime factors of 27417483. 3, 53, 229, 251 What are the prime factors of 102417622? 2, 17, 3012283 What are the prime factors of 207907070? 2, 5, 7, 37, 80273 List the prime factors of 44551042. 2, 22275521 What are the prime factors of 26577782? 2, 7, 11, 172583 List the prime factors of 2481073578. 2, 3, 15315269 List the prime factors of 764150438. 2, 8069, 47351 What are the prime factors of 50935126? 2, 11, 2315233 What are the prime factors of 103302150? 2, 3, 5, 7, 37, 2659 List the prime factors of 106531357. 331, 321847 List the prime factors of 148637010. 2, 3, 5, 571, 8677 List the prime factors of 7165306599. 3, 11, 127, 1709689 List the prime factors of 5292094486. 2, 7, 378006749 What are the prime factors of 523365197? 1801, 290597 List the prime factors of 95685416. 2, 149, 80273 What are the prime factors of 4164400652? 2, 563, 1849201 What are the prime factors of 157409965? 5, 19, 1656947 List the prime factors of 175982859. 3, 13, 521, 2887 List the prime factors of 189004262. 2, 503, 187877 What are the prime factors of 5152339760? 2, 5, 1481, 43487 What are the prime factors of 127539051? 3, 42513017 What are the prime factors of 564991555? 5, 112998311 What are the prime factors of 135056915? 5, 7, 29, 271, 491 List the prime factors of 1050821741. 271, 3877571 List the prime factors of 7418642. 2, 7, 11, 67, 719 What are the prime factors of 1587580200? 2, 3, 5, 103, 8563 What are the prime factors of 126546075? 3, 5, 562427 List the prime factors of 43389317. 229, 189473 List the prime factors of 3351649881. 3, 53, 1129, 18671 What are the prime factors of 2841652821? 3, 7, 107, 1264643 What are the prime factors of 205748719? 11, 2591, 7219 List the prime factors of 2125804698. 2, 3, 3019, 39119 List the prime factors of 9303810611. 9303810611 List the prime factors of 3460519270. 2, 5, 13, 26619379 List the prime factors of 3004045798. 2, 13, 9241, 12503 What are the prime factors of 2794961609? 11, 257, 773, 1279 List the prime factors of 51907732. 2, 17, 763349 What are the prime factors of 148803405? 3, 5, 1753, 5659 What are the prime factors of 3394347147? 3, 125716561 List the prime factors of 124016246. 2, 97, 639259 What are the prime factors of 33195851? 13, 2553527 List the prime factors of 26122524. 2, 3, 2176877 What are the prime factors of 24416041? 13, 23, 37, 2207 List the prime factors of 407248829. 13, 31, 43, 71, 331 List the prime factors of 55909071. 3, 29, 214211 What are the prime factors of 887383636? 2, 221845909 List the prime factors of 539294864. 2, 33705929 What are the prime factors of 304425671? 11, 3407, 8123 What are the prime factors of 35790505? 5, 127, 157, 359 What are the prime factors of 873761982? 2, 3, 145626997 List the prime factors of 6334576. 2, 523, 757 What are the prime factors of 81621367? 59, 191, 7243 List the prime factors of 7244962856. 2, 905620357 List the prime factors of 14616262. 2, 1459, 5009 What are the prime factors of 152194872? 2, 3, 31, 204563 What are the prime factors of 1827569273? 43, 103, 412637 What are the prime factors of 15668615? 5, 241, 13003 List the prime factors of 139089836. 2, 34772459 List the prime factors of 478019809. 478019809 List the prime factors of 86419717. 23, 181, 20759 List the prime factors of 14067648. 2, 3, 7, 1163 List the prime factors of 2513544433. 1871, 1343423 List the prime factors of 305162544. 2, 3, 71, 151, 593 List the prime factors of 184426952. 2, 23053369 What are the prime factors of 65192871? 3, 21730957 List the prime factors of 1515117352. 2, 7, 27055667 What are the prime factors of 164169225? 3, 5, 11, 113, 587 List the prime factors of 318866702. 2, 7, 11, 19, 9907 What are the prime factors of 21835162? 2, 10917581 List the prime factors of 147851206. 2, 8597, 8599 List the prime factors of 15236634. 2, 3, 7, 199, 1823 What are the prime factors of 717282862? 2, 89, 4029679 What are the prime factors of 433274351? 107, 4049293 What are the prime factors of 1078129571? 1078129571 What are the prime factors of 108227027? 1277, 84751 List the prime factors of 10491938. 2, 5245969 List the prime factors of 60673712. 2, 11, 59, 5843 What are the prime factors of 9629553? 3, 577, 5563 List the prime factors of 161166878. 2, 59, 1365821 List the prime factors of 92413635. 3, 5, 31, 353, 563 What are the prime factors of 68347972? 2, 7, 11, 221909 List the prime factors of 755819822. 2, 377909911 What are the prime factors of 66815029? 389, 171761 List the prime factors of 2870424650. 2, 5, 173, 331841 List the prime factors of 2143797220. 2, 5, 359, 298579 What are the prime factors of 12998347? 12998347 What are the prime factors of 234822135? 3, 5, 29, 193, 2797 What are the prime factors of 34304574? 2, 3, 1429, 4001 List the prime factors of 4108306243. 19289, 212987 What are the prime factors of 18093146? 2, 1039, 8707 List the prime factors of 45587925. 3, 5, 202613 What are the prime factors of 100909512? 2, 3, 11, 103, 1237 List the prime factors of 294926618. 2, 7, 21066187 What are the prime factors of 85097556? 2, 3, 1291, 1831 What are the prime factors of 78459824? 2, 149, 32911 What are the prime factors of 67106832? 2, 3, 13, 41, 43, 61 List the prime factors of 54632923. 19, 2875417 List the prime factors of 35293838. 2, 97, 181927 List the prime factors of 860431321. 19, 71, 637829 List the prime factors of 85660625. 5, 23, 59, 101 What are the prime factors of 311443152? 2, 3, 43, 150893 List the prime factors of 2638716895. 5, 527743379 List the prime factors of 951322395. 3, 5, 63421493 What are the prime factors of 928950026? 2, 464475013 What are the prime factors of 32713045? 5, 6542609 List the prime factors of 47238304. 2, 953, 1549 List the prime factors of 199220610. 2, 3, 5, 6640687 List the prime factors of 4014913880. 2, 5, 100372847 List the prime factors of 608418481. 11, 43, 359, 3583 What are the prime factors of 2662087789? 149, 3853, 4637 What are the prime factors of 101686601? 41, 2480161 List the prime factors of 1202910235. 5, 19, 23, 550531 List the prime factors of 212515779. 3, 7, 19, 532621 List the prime factors of 1261376207. 7, 13, 919, 15083 What are the prime factors of 3213362? 2, 1606681 What are the prime factors of 525822425? 5, 21032897 What are the prime factors of 2197141519? 67, 2909, 11273 What are the prime factors of 467147212? 2, 7, 16683829 List the prime factors of 72212276. 2, 173, 241, 433 List the prime factors of 6488035775. 5, 13, 41, 486907 What are the prime factors of 76106452? 2, 19026613 List the prime factors of 694925153. 13, 877, 60953 List the prime factors of 1215447639. 3, 7, 57878459 List the prime factors of 16129383. 3, 5376461 What are the prime factors of 75679643? 13, 5821511 What are the prime factors of 1012464343? 11, 19, 4844327 List the prime factors of 1316834591. 83, 15865477 What are the prime factors of 212968281
{ "pile_set_name": "DM Mathematics" }
? 7 Evaluate 6 + -14 + (9 - 25) + 4 + -1. -21 Evaluate 1 + (-6 - -7) + 4 + -2. 4 Calculate (1 - -3) + (22 - 10) - (-3 - -10). 9 Calculate 26 + 26 + -6 + -23. 23 Evaluate -6 + (-1 + 7 - 13 - (9 - 21)). -1 Evaluate (-9 - -8 - 6) + 6. -1 What is 0 + -13 + 2 + (30 - 17 - 10)? -8 What is the value of -21 - 0 - (-38 - -8)? 9 Calculate (-11 - -17) + (-94 - -112). 24 What is 2 + (-16 - (6 + -13 + -4))? -3 Evaluate (13 - -3) + (-12 - (-4 - -4)). 4 Evaluate 7 - (29 - (19 - 6)). -9 What is the value of -1 + 11 - (0 + -3 + 1)? 12 What is the value of 40 + -51 - ((0 - 7) + -2) - 7? -9 What is -7 - 0 - (-5 + (-25 - -17))? 6 What is the value of (16 - 12) + 3 + (-3 - (-3 + 21))? -14 What is 2 + -17 - (-2 + -2 + -9 + 9)? -11 Calculate -23 + (19 - 5) - -16. 7 What is 3 - (-39 + 48 - (-7 + 5 - -5))? -3 Calculate (4 - -1 - 21) + (-3 - -5). -14 What is the value of -2 - (0 - 7) - (-6 + 5)? 6 Evaluate 7 + -1 - (2 + 3 + -3) - -5. 9 -7 + -1 + (1 - 8) -15 What is (-23 - -20) + (-6 - (-33 + -5) - -1)? 30 What is 7 + -1 - (7 + 0 - 14)? 13 What is the value of 1 + -5 + 3 + 1 + (37 - 39)? -2 What is the value of (0 - (1 + -7)) + (-121 - -108) + 24? 17 What is (0 - 6) + -142 + 129 - -2? -17 -2 + (-3 + 6 - -3) + -9 + 5 0 -2 - (2 - 3) - (-5 + 10 + -20) 14 0 - -6 - (26 - (-36 - -64)) 8 Calculate -2957 - -2961 - (1 - (-1 - 0 - -16)). 18 (4 + -9 - 17) + 2 - (-2 - -13) -31 Evaluate (-11 - (5 + -18)) + 12. 14 What is 23 - 46 - -34 - 17 - (0 + -1)? -5 What is the value of (15 - -6) + -34 + -25? -38 What is (-2 - -4) + (-30 - -35)? 7 What is -4 + (-8 - (2 - 1 - 15))? 2 Calculate -1 - (10 - ((22 - 22) + (2 - -1))). -8 Evaluate 3 - (-1 - -1) - (-41 + 72 - 17). -11 What is (-2 - 1) + -3 + (14 - (12 + -5))? 1 Evaluate (21 - -3) + -26 + 14. 12 What is 2 + -2 + (7 - -2) + -11 + -13? -15 Evaluate 2 - ((-7 - (15 - 35)) + -15). 4 What is the value of (6 - (24 - 7)) + -1? -12 7 + -2 + -4 - (3 + 2) -4 -51 - (40 + -3 - 56) -32 What is -25 - (-62 + 14 - -26)? -3 What is the value of 2 - -3 - ((-4 - (-1 - 0)) + 2)? 6 What is the value of (34 - (13 - -3)) + (1 - -3)? 22 Calculate 2 - -14 - (22 - (-4 + 20)) - -5. 15 Evaluate -31 - (8 + -19 + 13). -33 Evaluate -20 - (20 - 20 - 42). 22 Calculate -5 + 18 + -4 + (-1 + 4 - -5). 17 Calculate 12 + -20 - (-1 + -5 - 4). 2 Calculate 24 + 58 + -68 + (9 - -1). 24 -9 + (-11 - -2) - -2 -16 Evaluate -2 + 15 + -22 - 9 - (0 - 0). -18 What is (2 - (1 - -22)) + 40 + (1 - -7)? 27 Calculate 6 - 12 - (-18 + 4 + -4). 12 Calculate 2 + (-1 - (-6 - -6 - 5)) + 9. 15 Calculate (228 - 226 - (2 + (-2 - -9))) + -2. -9 12 - (36 + -20 - 16) 12 Evaluate 15 + -1 + -11 + 17. 20 Calculate 13 - (27 + -3 - -1). -12 What is (-9 - 3) + 25 + 3? 16 Calculate 10 + 8 + 1 + -9. 10 What is the value of 93 - 91 - (0 + 0)? 2 What is the value of 34 + (-11 - 12) + -14? -3 -7 - (-7 - ((-2 - 3) + -12)) -17 What is -13 - (-28 - (-24 - -1)) - (-1 - 2)? -5 Evaluate -3 + 6 - (-5 + (25 - 5) + -5). -7 What is -44 + (0 - -3 - (-4 + 8 + -10))? -35 (27 - (-32 + 29)) + -39 -9 -7 - (-4 - (-8 + 1 - 0)) -10 What is the value of (30 - 7) + (-1 - 7 - (11 + -16))? 20 What is the value of -16 - (-32 - 35 - -41)? 10 Evaluate (45 - 124 - -78) + (17 - 0). 16 Calculate (-7 - 1) + (-13 - -27). 6 Calculate 5 + 8 + -24 + (-6 - -6) + -19. -30 Evaluate 2 + -3 + 2 - -1 - -3. 5 Evaluate -2 + 1 + (-4 - -2 - (-1 - -10)). -12 -2 - 3 - (4 - (-1 - 8)) -18 6 - -9 - (-30 - -36) 9 Calculate 7 - (3 + 24 + -9 + -8). -3 (40 - (41 + -8)) + -9 + 0 -2 3 + -1 + (-31 - -26) -3 What is the value of 96 + -95 + 3 + (9 - 5) + -2? 6 Calculate 5 + 8 + -17 - (5 + -2). -7 Calculate (0 - 9 - (-1 + -1)) + (231 - 208). 16 What is (-22 - 0) + -14 - -21? -15 19 + (7 - 31) - (0 - -1) -6 Calculate -22 + (-22 + -6 - -63). 13 Calculate -1 - -14 - (14 + -9 + -5). 13 Evaluate 3 + -7 + -5 + -7 + 33. 17 Calculate (3 - -4) + 4 + (-46 + 24 - -4). -7 Evaluate (-13 - (5 + 8)) + 19. -7 9 - (2 + -13 + 8) 12 Evaluate -25 - -36 - 19 - -16. 8 What is 0 + 7 + 0 - (5 - 4)? 6 Calculate 0 + 17 + -5 + -5. 7 (2 - -6) + (63 - 56) 15 Calculate -9 + (-6 - -5) + -4 + 15 + -1. 0 0 + -1 + (-23 + 11 - -7) -6 Calculate -6 - (9 - 0 - 11 - 10). 6 Calculate (5 - (-8 - 3)) + (-5 - -1) - -3. 15 What is -37 + 38 + -9 + 18? 10 Calculate 17 + -8 + (-20 - 0). -11 What is 3 - 0 - -2 - (6 - -10)? -11 Calculate -16 + 12 - (1 - -4) - 14. -23 6 + (9 - -3 - 13) 5 Calculate 6 + (-16 - -9) - (3 + -5 + 3). -2 What is the value of 9 + (11 - -20) - 14 - 14? 12 (-3 - -10) + (-11 - ((-8 - 1) + 20)) -15 Calculate 3 + (11 + -10 + 2 - 7). -1 What is the value of 11 + (-8 - 10) + 5 + -5? -7 Evaluate (10 - 0) + -243 + 222 + (-14 - 2). -27 What is 0 - -5 - (8 + -23 + 13)? 7 Calculate -8 + 10 + -1 - 1. 0 Calculate 3 + 1 + ((-6 - 1) + 6 - -3). 6 Calculate -9 - (-2 + (7 - -2) - (7 - -3)). -6 Calculate -4 - (12 + -2 + -1 + -12). -1 -27 + 33 + 2 + 3 + (69 - 46) 34 What is the value of -7 + -2 + -4 - -16 - (1 + 32)? -30 What is 15 + (-8 + 1 - 2) + -3? 3 Calculate (9 + -21 - -33) + -22 - (-8 - -2). 5 Calculate -2 + 4 - 7 - (14 - (25 - 21)). -15 Evaluate -7 - (-1 + -14 + (28 - 31)). 11 Calculate -11 + -3 + 11 - -8. 5 What is -35 - ((-30 - -12) + 8)? -25 4 + 19 + 3 + -47 -21 Evaluate (-9 - -1) + (-2 - (14 - 22)). -2 What is the value of 1 - (21 + (-12 - -12) + 2)? -22 What is the value of (-13 - ((-35 - -13) + 10)) + -2 + 0? -3 What is the value of (0 - 11) + 926 + -917? -2 What is the value of 1 - (5 + -14 + 8)? 2 Calculate (11 + -30 - -15) + 9. 5 -14 - -46 - 26 - (2 - -2 - -3) -1 6 - ((3 - (-5 + 15)) + 2 + -5) 16 Evaluate -43 + 31 + 14 + (-15 - -1). -12 What is 7 + 0 - -9 - 28? -12 What is 4 + (-9 - -15 - (3 - 1)) + -2? 6 Evaluate -1 - 23 - ((2 - -21) + -25 + 0). -22 What is the value of -7 + 9 + -23 + (2 - -2) + 7? -10 What is the value of -14 - (-22 + 18 + 1 + -8)? -3 (-23 - 2) + (-238 - -245) -18 What is (7 - 0) + (38 - 44) + 15? 16 Calculate -2 + (1 - (11 - 3)). -9 What is 16 - (-8 - (-26 + 2))? 0 Calculate 2 - (29 + -39 + (11 - 2)). 3 Calculate -10 + 15 + (-13 - 4) + 25. 13 What is (2 - -4) + (38 - 39) + -2 + 24? 27 Calculate -16 - (2 - (8 - -12 - 9)). -7 Calculate -1 + 2 + (4 - (-8 + 15) - -8). 6 Calculate 40 + -86 + -1 + 9 + 1. -37 What is (-2 - ((10 - -5) + -9)) + 1 - -10? 3 Evaluate -15 - (-6 - 2 - (-11 - -4)). -14 What is the value of 5 + -8 + -6 + 3 - -4? -2 12 + 4 + (1 - 1 - (10 - 6)) 12 What is the value of -7 + 3 - -1 - (-49 + 53)? -7 Calculate -6 + (-6 - -19) + -19 + (1 - 0). -11 Evaluate -3 - ((3 - 2) + 7 + -7). -4 Evaluate -4 + (-14 - (-32 + 4)). 10 -31 + (-3 - -38 - 18) -14 What is the value of -4 - (1 + -4 + -3 + (-2 - -4))? 0 What is 0 + -31 + 14 + 18 + (-1 - 7)? -7 -32 - -29 - (-8 - 0) - 1 4 Evaluate -5 + (-8 - -2) - (9 - (1 - -1)). -18 (18 - 15 - 0) + 5 8 What is -44 + (63 - 34) - 3? -18 (5 - (6 + -7 + -1)) + 6 13 -11 - (-11 + -10 + 29) -19 What is the value of (-3 - -32) + (-13 - -17) + -10? 23 Calculate 51 - (33 + 2 + 3). 13 (257 - 234) + (-5 - 2) 16 4 + 5 + 8 + 9 26 What is 8 - (15 + (-5 - 7))? 5 Evaluate 1 - 2 - (11 - (39 + -22)). 5 Calculate -10 + (16 - 16 - 15). -25 What is the value of 14 + -11 + (-2 - (-5 + 10))? -4 Calculate -5 + -8 + 8 + 3 + (-1 - -5). 2 What is the value of 4 - (-14 - (-32 + 16 + 4))? 6 Evaluate (18 - (24 + -10)) + 0. 4 Calculate (0 - -5) + 7 + 6 + -16. 2 Evaluate 20 + (-6 + 10 - 32). -8 What is (20 - (-6 + 31)) + (0 - -1) + -8? -12 Evaluate -3 + ((-3 - -14) + -2 - -2). 8 Calculate 21 + 5 + -6 + -21. -1 What is -1 + (1 - -1) + 12? 13 What is 7 + -13 + 7 + 10 + -24? -13 Evaluate 2 + 2 + -1 + -2 + (142 - 135). 8 Evaluate (-4 - 1) + 7 + -22 + 4. -16 Evaluate -18 - (-7 + (26 - 9 - 1)). -27 Calculate (-7 - -33) + -12 + -10. 4 -13 + (-3 - -11) + 17 12 Calculate 23 + -31 + -4 + -11. -23 Calculate 5 - (-5 - (26 - 25 - (1 + 3))). 7 -11 + 0 + 18 + 3 + -4 6 What is 2 - 0 - (-1450 - -1470)? -18 Calculate (-3 + (1 - -6 - 11) - -13) + 7. 13 What is the value of -21 - 0 - (97 + -119)? 1 Evaluate 6 + -2 + -13 + 30 + -11 + -5. 5 Evaluate 52 + -41 - (7 + -1). 5 What is the value of 0 + 2 - (-13 + 17 + 2 - 13)? 9 Calculate 1 + -6 + 8 + -21 - (-7 + 5). -16 What is the value of -1 - (21 + -9) - 8? -21 7 + 0 - (-10 - (7 + -19 + 2)) 7 -22 - (11 - 17 - 2) -14 Calculate -1 + (-2 + 31 - 40). -12 -9 + 11 + 9 + (-3 - 24) -16 What is the value of 30 + -32 - (-2 + 4) - 2? -6 (-17 - 1) + 57 + -
{ "pile_set_name": "DM Mathematics" }
98 + 10093 = -2295*f + 609*f + 1687 for f. -14 Solve 17092 = -582*n - 37616 for n. -94 Solve -165*h + 10409*h = -460980 for h. -45 Solve 8225626*s = 8225564*s + 1791 - 5759 for s. -64 Solve 75*k + 121 + 2013 = -16*k - 323 for k. -27 Solve -4*w - 6*w = 20*w + 56*w - 6192 for w. 72 Solve 163*a - 263*a + 129*a = 377 for a. 13 Solve 2685*k = 5397*k - 2679*k - 231 for k. 7 Solve 6*n + 68*n - 11124 = 15*n - 44*n for n. 108 Solve 5*l - 440 - 44 = -10*l - 109 for l. 25 Solve -3813 + 173 = -388*j - 148 for j. 9 Solve 0 = -3730*h + 1409*h - 3698*h + 37176 + 77185 for h. 19 Solve 609*t + 1684 = -7633 - 16870 for t. -43 Solve -6680 - 9073 = 267*z for z. -59 Solve 506*b - 61*b + 19075 = -100*b for b. -35 Solve 25956 - 310293 = -10531*j for j. 27 Solve -12*h - 15*h + 5*h = 3*h + 2400 for h. -96 Solve 265*v + 14161*v = -468*v - 1737663 + 546143 for v. -80 Solve 6210 = -2738*c - 2004 for c. -3 Solve -2810345*x = -2810012*x - 16317 for x. 49 Solve -2507 = -276*q + 990 + 8095 for q. 42 Solve 842*m = -480*m + 1322 for m. 1 Solve 0 = 24273*b - 26912*b - 60697 for b. -23 Solve -458*s - 569*s + 112970 = 0 for s. 110 Solve 3560*s + 7172 = -38978 + 104303 + 98487 for s. 44 Solve 0 = 26*q - 56*q + 57*q + 675 for q. -25 Solve 5*c - 787 + 939 = 22*c + 696 for c. -32 Solve 387*i = -7746 - 3477 for i. -29 Solve 4478*u + 1155*u - 2402*u = -5284*u - 451295 for u. -53 Solve 144*p + 463 = 86 + 89 for p. -2 Solve 79*s + 25*s + 49*s - 51*s - 5712 = 0 for s. 56 Solve -30833 = -1456*d + 64726 + 22377 for d. 81 Solve 20325 - 31941 + 103004 = -2077*u for u. -44 Solve 13327 = -583*n - 9042 - 3283 for n. -44 Solve 273049*j - 43316 = 272607*j for j. 98 Solve -448*q - 3371 - 7797 = 250*q for q. -16 Solve -1658 - 6314 - 2475 - 203 = 150*y for y. -71 Solve 0 = 102*t + 840*t - 13394 + 206 for t. 14 Solve 111*x + 429334 = 12*x - 130*x + 405289 for x. -105 Solve -88*c - 132*c - 426 = -7*c for c. -2 Solve 599*g + 4716 + 3111 = 639 for g. -12 Solve 52*d + 350*d - 9522 = -336*d + 209*d for d. 18 Solve 243*s - 28*s + 4263 = 128*s for s. -49 Solve 3908*v = 1496*v - 13361 - 13171 for v. -11 Solve -1519*m + 804*m - 473 = -758*m for m. 11 Solve 688 - 1597 = -6*o - 105*o + 645 for o. 14 Solve 896*l + 11647 - 56447 = 0 for l. 50 Solve 22317*w + 1236126 = -817038 for w. -92 Solve 59*y - 1911 - 381 = -168 for y. 36 Solve 5223 = -394*k - 20721 + 2698 for k. -59 Solve -16863*s = -1385*s + 1021548 for s. -66 Solve 39*u = 26800 - 22939 for u. 99 Solve 0 = -459*x + 6646 + 3370 + 28999 for x. 85 Solve -20719 = 1190*c - 37379 for c. 14 Solve -895*i + 4232*i = -26349 - 10358 for i. -11 Solve 15*b = -3332*b + 114*b - 239242 for b. -74 Solve -178456*h = -178586*h - 16900 for h. -130 Solve -16*a + 12517 = 12725 for a. -13 Solve -3076 + 422 = 101*w + 3305 for w. -59 Solve -1396*z + 8387 = -1176*z + 247 for z. 37 Solve -25508 = -633570*z + 632659*z for z. 28 Solve -217024 = 18623*k - 3041*k + 801 + 47069 for k. -17 Solve 162902 + 180622 + 166630 - 56360 = 20627*p for p. 22 Solve -1222*g - 13404 = 41*g - 72765 for g. 47 Solve 69*a - 7695 + 4397 = -28*a for a. 34 Solve 176*w + 39110 = 33654 for w. -31 Solve -841*z + 1147*z = -4590 for z. -15 Solve 11136*x - 603*x = 410787 for x. 39 Solve -120*k + 22586 = 21506 for k. 9 Solve 3026 = -61*r + 292*r - 6907 for r. 43 Solve 19*p - 21705 = 156*p + 639*p + 4679 for p. -34 Solve -12*k - 34*k + 758980 - 760636 = 0 for k. -36 Solve 2*v - 81*v + 23*v - 2688 = 0 for v. -48 Solve -1565*r + 500892 = 4398*r for r. 84 Solve -195*s + 37763 - 57653 = 0 for s. -102 Solve 0 = 43*y - 75 - 905 - 100 - 1629 for y. 63 Solve -1754*n + 207*n - 1558*n + 129987 = 228*n for n. 39 Solve -1612*t - 7569*t - 66408 - 155548 - 163646 = 0 for t. -42 Solve -5131*b = -4826*b + 33245 for b. -109 Solve -4015*p = -4055*p - 120 for p. -3 Solve 52*r = 2599 - 4263 for r. -32 Solve -11491 + 11691 - 14698 = 192*d + 13534 for d. -146 Solve 2048*g + 844*g = 138816 for g. 48 Solve 292*h = 1908 - 9792 for h. -27 Solve 30084 = -10694*j + 10040*j for j. -46 Solve 361*k - 58*k + 69*k + 19800 = -24*k for k. -50 Solve 4*x = 248*x - 9760 for x. 40 Solve -1355*q - 208 = -2749*q + 1368*q for q. 8 Solve -7964821*d + 7964777*d - 396 = 0 for d. -9 Solve -139409 = -27*k - 140516 for k. -41 Solve 9225 = 2082*a - 1634*a + 35209 for a. -58 Solve 35577 - 8650 + 37253 = 16045*q for q. 4 Solve -76*z + 163*z = 85*z - 144 for z. -72 Solve 1808*d - 2292*d + 97976 + 37664 = 2907*d for d. 40 Solve -102*y = 11*y - 132*y + 1615 for y. 85 Solve -267 - 1342 - 1041 = -8590*m + 8565*m for m. 106 Solve 289*m - 7258 = -14483 for m. -25 Solve 31*i + 7143 = -523*i - 5532 + 4919 for i. -14 Solve 29175 = 113*x + 34486 for x. -47 Solve 15*i = 95*i + 460*i - 46*i - 22230 for i. 45 Solve 0 = 128*i - 106*i + 330 for i. -15 Solve -8950702*m + 8950971*m = -23403 for m. -87 Solve 335*s = -411*s + 14920 for s. 20 Solve -1404 = 592414*p - 592378*p for p. -39 Solve 10066 + 6840 = 277*o - 4700 for o. 78 Solve -68*g + 172*g - 73*g = 81 + 632 for g. 23 Solve 667*x - 620*x + 2449 + 747 = 0 for x. -68 Solve 551*q - 23*q + 2685 = -11571 for q. -27 Solve -3430*p - 2960*p - 76225 = 53739 + 36176 for p. -26 Solve 122*x + 1398250 = 1396420 for x. -15 Solve -682902 = -2398*z - 7949*z for z. 66 Solve 41*q + 42*q + 1373 = 462 - 334 for q. -15 Solve -377*q - 1983*q = 129800 for q. -55 Solve -5621 + 8625 - 5952 = 268*m for m. -11 Solve -1384*c - 6818 = -1148*c - 1862 for c. -21 Solve 19*m + 2962065 = 2962407 for m. 18 Solve -66 = -59*v - 79*v + 135*v for v. 22 Solve 715*d = 1380*d + 1666*d - 30303 for d. 13 Solve 0 = 710*w - 1519*w - 1906*w + 84165 for w. 31 Solve 143*p - 9430 = -42*p - 45*p for p. 41 Solve 332*g - 11391 - 13978 = -7773 for g. 53 Solve 266*g - 6483 - 11297 - 19020 = -309*g for g. 64 Solve 0 = 2588*z + 7084 - 112544 - 39468 for z. 56 Solve 685800 = 10960*y - 1435*y for y. 72 Solve -13807*s + 17229*s = 396952 for s. 116 Solve 4896*v + 457569 = -2367*v for v. -63 Solve 0 = -111*y + 346*y - 108*y - 105*y - 1672 for y. 76 Solve -240055 = -3723*s + 9386 for s. 67 Solve -14990*w - 32204 = -15322*w for w. 97 Solve 5459*f - 27680 - 103731 = 61883 + 19607 for f. 39 Solve 898*p = -1487*p + 823*p - 38378 - 6920 for p. -29 Solve 528*k - 654 - 16145 = 13825 for k. 58 Solve 2470*z - 7617 - 9185 + 3002 - 20780 = 0 for z. 14 Solve -1801 = -2760*i + 14759 for i. 6 Solve -592*o = 1244*o - 459*o + 75735 for o. -55 Solve -1684*y + 24538 - 22307 - 77529 = 27426 for y. -61 Solve 44573 = 1961*w + 3069 - 25292 - 33215 for w. 51 Solve -1681 = -31*u + 1005 - 578 for u. 68 Solve 271*q + 469*q - 175*q - 17568 = -533*q for q. 16 Solve 1247*q - 1481 = 1199*q + 1207 for q. 56 Solve -18*s + 46*s = -308 for s. -11 Solve -8983*h = 568*h + 343836 for h. -36 Solve 2193*n - 2292*n = -1089 for n. 11 Solve -136373*y + 136358*y = 225 for y. -15 Solve 2538 = 222*p + 695 - 2597 for p. 20 Solve 235 - 1485 = 59*u + 901 + 622 for u. -47 Solve 22312*a = 18352*a for a. 0 Solve -89*n + 191 - 450 - 250 = 559 for n. -12 Solve 3413*f + 2981*f = 563*f - 544*f + 369750 for f. 58 Solve -12458*v + 209759 = -2357*v - 113473 for v. 32 Solve 10*v - 6928 = -27*v - 8408 for v. -40 Solve 74*j + 15115 = 10453 for j. -63 Solve 151*y - 101*y - 330 = -280*y for y. 1 Solve -149*g - 415*g - 29450 = -2942 for g. -47 Solve -199*y + 344*y + 1656*y + 244*y = -288345 for y. -141 Solve 968*g + 27827 = -4117 for g. -33 Solve -5393*f - 161013 - 200318 = 0 for f. -67 Solve -219*k + 19220 = 127*k - 36*k for k. 62 Solve -1299*k + 460887 - 521940 = 0 for k. -47 Solve 1963*l - 172126 - 50090 = 27085 for l. 127 Solve 18377*c - 18348*c - 406 = 0 for c. 14 Solve -5160 = -404*n + 662*n for n. -20 Solve 31*q + 274 = -43*q - 1009 + 25 for q. -17 Solve 3943 + 17631 = 469*k for k. 46 Solve 53*u + 1929 = -19*u + 273 for u. -23 Solve -75*r - 3*r + 211 = 97*r - 139 for r. 2 Solve -108*m = 899 - 761 - 2054 - 6508 for m. 78 Solve 15037*x - 351 = 14998*x for x. 9 Solve -96*m - 6631 = -5095 for m. -16 Solve 6310*m + 2870 = 6105*m for m. -14 Solve 9472*s - 4914 = 3139*s + 3153*s + 3102*s for s. 63 Solve 4747 = 69*v - 4953 + 10942 for v. -18 Solve -637*y + 25676 + 6684 = -2741 + 703 for y. 54 Solve -6727 + 15664 = -1029*h - 12672 for h. -21 Solve -42272 = -307*t + 1628*t for t. -32 Solve -32176*r = -16051*r - 16039*r - 1806 for r. 21 Solve -44635 = -
{ "pile_set_name": "DM Mathematics" }
5. 3/5 Calculate 42 divided by 4. 21/2 -78 divided by -17 78/17 What is -7158 divided by 6? -1193 Divide 724 by 6. 362/3 Divide -464 by 58. -8 Divide -83 by 13. -83/13 -11844 divided by -6 1974 Calculate -3 divided by 126. -1/42 1036 divided by -259 -4 294 divided by 6 49 Divide -6 by 8. -3/4 -3591 divided by 19 -189 Calculate -822 divided by 137. -6 1716 divided by 11 156 What is 3 divided by -22? -3/22 -2 divided by 22 -1/11 Calculate 99 divided by 99. 1 21 divided by -25 -21/25 What is 49 divided by -1? -49 Calculate 2086 divided by -7. -298 -8680 divided by 4 -2170 Divide 12 by -7. -12/7 Divide 1175 by -5. -235 -1461 divided by -3 487 -6564 divided by -1641 4 Divide 283 by -15. -283/15 What is -55943 divided by -1? 55943 What is 209 divided by 17? 209/17 Calculate 9464 divided by 8. 1183 Calculate 1564 divided by -17. -92 What is 0 divided by -597? 0 -1580 divided by 5 -316 Divide 13 by -8. -13/8 2706 divided by -123 -22 Calculate -1038 divided by -6. 173 Calculate 12 divided by 21. 4/7 Calculate 2 divided by 157. 2/157 Calculate -2475 divided by 495. -5 What is -8460 divided by 1692? -5 Calculate 642 divided by -6. -107 Calculate -516 divided by 172. -3 What is 44 divided by 30? 22/15 What is 2 divided by 348? 1/174 Calculate 0 divided by 590. 0 What is -600 divided by -8? 75 Calculate 4 divided by 30. 2/15 2276 divided by -569 -4 What is 0 divided by -4022? 0 Calculate 168 divided by -24. -7 What is 2 divided by -68? -1/34 What is -9004 divided by 6? -4502/3 Calculate 336 divided by -2. -168 Calculate 9 divided by -77. -9/77 What is -37 divided by -188? 37/188 Calculate 597 divided by -6. -199/2 What is 2237 divided by 3? 2237/3 1 divided by -1540 -1/1540 Divide -110 by -110. 1 19 divided by -50 -19/50 Divide -352 by 8. -44 Divide -11400 by 50. -228 Calculate -5508 divided by 162. -34 Calculate -3200 divided by -800. 4 -300 divided by -300 1 Calculate -26 divided by 4. -13/2 244 divided by -4 -61 What is 746 divided by 6? 373/3 Divide 660 by 3. 220 Divide 18 by -90. -1/5 What is -582 divided by -9? 194/3 1113 divided by 3 371 Calculate 0 divided by -95. 0 0 divided by -1383 0 Divide 650 by -5. -130 Divide -3834 by -213. 18 What is 2160 divided by -8? -270 What is -2 divided by 2? -1 -24226 divided by -1 24226 5 divided by -65 -1/13 2 divided by -280 -1/140 Calculate -268 divided by 2. -134 Divide 6637 by 3. 6637/3 Divide 4058 by 6. 2029/3 Divide -1640 by 4. -410 Divide -1246 by -2. 623 -882 divided by -294 3 Calculate -717 divided by 5. -717/5 Calculate -11583 divided by -3. 3861 -17 divided by -4 17/4 What is 9825 divided by 393? 25 Divide -118 by -4. 59/2 Divide -91 by 2. -91/2 Divide -2596 by -4. 649 Calculate -3 divided by 169. -3/169 Calculate 216 divided by -8. -27 Divide -62 by 24. -31/12 Divide 9 by -115. -9/115 Calculate 24 divided by -12. -2 Divide 2 by 18. 1/9 11332 divided by 5666 2 -201 divided by -3 67 Divide 2 by 282. 1/141 Divide 4387 by -41. -107 Calculate 118 divided by 11. 118/11 Calculate -1050 divided by 75. -14 Divide -26 by 7. -26/7 Divide 808 by -2. -404 Divide -59 by -2. 59/2 What is -605 divided by 6? -605/6 Divide 864 by -24. -36 Calculate -2610 divided by -18. 145 Calculate -31 divided by -5. 31/5 Divide 539 by -2. -539/2 Divide -3 by 83. -3/83 -306 divided by -3 102 Divide 756 by 27. 28 Divide -5 by 82. -5/82 What is -27 divided by 4? -27/4 3 divided by -43 -3/43 13496 divided by -14 -964 Calculate -322 divided by -23. 14 Calculate 913 divided by -3. -913/3 1909 divided by 2 1909/2 22 divided by -654 -11/327 What is -1710 divided by 6? -285 What is -486 divided by 243? -2 Calculate -16 divided by -8. 2 What is 9960 divided by 6? 1660 Calculate 1896 divided by 316. 6 Calculate 1407 divided by 3. 469 What is 1050 divided by -6? -175 What is 126 divided by -7? -18 Calculate -5 divided by -673. 5/673 -2410 divided by 482 -5 Divide -2 by 271. -2/271 What is 2145 divided by -715? -3 What is -4 divided by -10? 2/5 What is -4 divided by -40? 1/10 2086 divided by -149 -14 Divide 208 by 13. 16 What is -31 divided by 149? -31/149 Calculate -476 divided by 4. -119 What is 72 divided by -24? -3 What is 4 divided by -292? -1/73 What is -8 divided by -4? 2 632 divided by 79 8 Divide -225 by 5. -45 Calculate -5 divided by 32. -5/32 Divide -27 by -57. 9/19 What is 46 divided by 37? 46/37 -12363 divided by 951 -13 Calculate -3 divided by 90. -1/30 Calculate 4 divided by 8. 1/2 Calculate -2805 divided by 3. -935 Calculate 654 divided by -2. -327 Divide -136 by 4. -34 What is 495 divided by -15? -33 1005 divided by -201 -5 What is 7042 divided by -3521? -2 330 divided by -110 -3 Calculate -2592 divided by 6. -432 Divide 710 by 2. 355 Calculate 10 divided by 999. 10/999 Calculate -939 divided by -313. 3 What is -135 divided by -5? 27 Divide -20719 by 1. -20719 Divide 36 by -2. -18 Calculate -20 divided by 679. -20/679 Calculate -776 divided by -97. 8 Calculate 0 divided by -18. 0 Calculate -7337 divided by -23. 319 Divide 2535 by -6. -845/2 Calculate -4224 divided by -528. 8 Divide -16 by -1. 16 What is -27 divided by 19? -27/19 30 divided by 248 15/124 9405 divided by 165 57 What is -407 divided by -11? 37 -1280 divided by -1 1280 164 divided by 41 4 15 divided by 39 5/13 Calculate 84 divided by -3. -28 Divide -2300 by 5. -460 -198 divided by -3 66 Divide 100 by -10. -10 Divide 1870 by 5. 374 -894 divided by 3 -298 24 divided by -1 -24 4335 divided by -15 -289 Divide 14526 by 269. 54 What is -3138 divided by -1046? 3 What is 213 divided by -1? -213 What is -3700 divided by 148? -25 -6660 divided by 2 -3330 140 divided by -10 -14 Calculate 363084 divided by -6. -60514 Calculate 9960 divided by 4. 2490 Divide -33 by 10. -33/10 391 divided by 13 391/13 What is 1025 divided by 205? 5 What is 3495 divided by -1165? -3 -47 divided by 1 -47 Calculate 49 divided by -8. -49/8 -179 divided by 6 -179/6 Calculate -99 divided by -7. 99/7 Divide 55 by 50. 11/10 9 divided by 1426 9/1426 What is 5 divided by 38? 5/38 Calculate -242 divided by 121. -2 What is 8748 divided by 6? 1458 Divide -9475 by 379. -25 What is 23 divided by 5? 23/5 -8634 divided by 3 -2878 Calculate -23 divided by -10. 23/10 Calculate 1170 divided by 5. 234 Divide 2 by -1472. -1/736 Divide 180 by 1. 180 4756 divided by -1189 -4 What is -19410 divided by -3? 6470 Divide -1920 by -40. 48 Calculate 2211 divided by -11. -201 Calculate -4 divided by 3592. -1/898 What is -4 divided by -166? 2/83 What is -440 divided by 10? -44 -468 divided by 18 -26 Divide -4 by 90. -2/45 -3168 divided by -1 3168 Calculate 154 divided by -11. -14 What is -4 divided by 34? -2/17 What is -6 divided by 39? -2/13 38 divided by 10 19/5 9057 divided by 3 3019 Calculate -18 divided by 3. -6 What is 0 divided by -223? 0 6 divided by 2840 3/1420 Divide -160 by 2. -80 2145 divided by -3 -715 -2 divided by 1388 -1/694 -788 divided by -6 394/3 36760 divided by 5 7352 1299 divided by 3 433 -58 divided by -58 1 Calculate -6480 divided by 540. -12 Divide -1870 by 6. -935/3 Divide 2 by 76. 1/38 1809 divided by 27 67 Calculate 30 divided by -225. -2/15 What is -4057 divided by -5? 4057/5 Calculate -5356 divided by -206. 26 What is -76 divided by 86? -38/43 654 divided by -6 -109 What is 28800 divided by 4? 7200 96 divided by -43 -96/43 876 divided by -146 -6 Calculate 3 divided by -369. -1/123 What is 114 divided by 38? 3 Calculate -19664 divided by -3. 19664/3 Calculate -1 divided by -113. 1/113 Calculate 824 divided by 1. 824 What is -2681 divided by -2? 2681/2 Calculate -774 divided by 6. -129 What is -67 divided by -20? 67/20 -15 divided by 85 -3/17 What is -4 divided by -285? 4/285 -63 divided by -6 21/2 Calculate -5424 divided by 3. -1808 Calculate 36 divided by -6. -6 What is -5966 divided by 314? -19 Calculate 1044 divided by -12. -87 -1776 divided by 444 -4 Divide 7 by 70. 1/10 Divide 13 by 226. 13/226 What is -1025 divided by -1? 1025 Divide -564 by -6. 94 What is -965 divided by 6? -965/6 What is -89 divided by -6? 89/6 Calculate -96 divided by -3. 32 What is -95 divided by 5? -19 -13 divided by 326 -13/326 -574 divided by -14 41 What is 252 divided by 3? 84 What is 13932 divided by -3483? -4 What is 9018 divided by 6? 1503 What is 3124 divided by 2? 1562 Calculate -23 divided by 6. -23/6 -17 div
{ "pile_set_name": "DM Mathematics" }
r, 2 a, and 1 i. 1/70 Three letters picked without replacement from {b: 4, g: 1, y: 7, j: 1, m: 3, q: 2}. Give prob of picking 2 q and 1 j. 1/816 What is prob of picking 1 i, 1 n, and 1 h when three letters picked without replacement from {i: 3, n: 4, j: 1, a: 4, h: 2}? 6/91 Two letters picked without replacement from {q: 2, d: 1, o: 6, j: 2}. What is prob of picking 1 j and 1 d? 2/55 What is prob of picking 1 y and 1 h when two letters picked without replacement from yhhyhycchh? 1/3 Four letters picked without replacement from oooooocoooocccco. Give prob of picking 3 o and 1 c. 165/364 What is prob of picking 2 g and 2 m when four letters picked without replacement from mmgpmgpgpmppggggpgg? 18/323 Four letters picked without replacement from {u: 3, i: 1, p: 1, n: 2, m: 5}. Give prob of picking 1 p, 2 n, and 1 m. 1/99 Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {f: 2, v: 3, l: 1, q: 4}. 1/40 Three letters picked without replacement from {w: 8, j: 5}. What is prob of picking 3 j? 5/143 Four letters picked without replacement from qkppqpqkqpqpkkq. What is prob of picking 1 k and 3 p? 8/273 Two letters picked without replacement from wkckwged. Give prob of picking 1 e and 1 w. 1/14 Two letters picked without replacement from ymyxytexxxggxmyxx. Give prob of picking 1 t and 1 x. 7/136 Four letters picked without replacement from {i: 2, a: 8, l: 4}. Give prob of picking 1 a, 1 i, and 2 l. 96/1001 Calculate prob of picking 3 v and 1 s when four letters picked without replacement from {s: 6, v: 12, q: 1}. 110/323 Two letters picked without replacement from {w: 3, h: 11}. What is prob of picking 2 w? 3/91 Two letters picked without replacement from rkrzrkkrikrkkkr. What is prob of picking 2 r? 1/7 Three letters picked without replacement from {o: 8, i: 6, g: 1}. Give prob of picking 3 i. 4/91 Calculate prob of picking 2 g and 2 v when four letters picked without replacement from olowoavggoooogoovo. 1/1020 What is prob of picking 1 l and 1 w when two letters picked without replacement from {r: 1, l: 1, w: 1}? 1/3 What is prob of picking 1 a, 2 u, and 1 g when four letters picked without replacement from aauaqucauuauuuuuagua? 21/323 What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 18, p: 1}? 2/19 Three letters picked without replacement from {k: 2, z: 2, q: 1, v: 6, e: 3}. Give prob of picking 1 e and 2 z. 3/364 Calculate prob of picking 2 j when two letters picked without replacement from {a: 7, j: 2}. 1/36 What is prob of picking 3 u when three letters picked without replacement from {u: 9}? 1 Calculate prob of picking 1 m and 2 p when three letters picked without replacement from {x: 5, m: 4, p: 2}. 4/165 What is prob of picking 1 i and 1 a when two letters picked without replacement from aerriarrrrrir? 2/39 Four letters picked without replacement from {n: 3, u: 7, v: 2}. Give prob of picking 1 v and 3 n. 2/495 What is prob of picking 1 d and 1 a when two letters picked without replacement from ady? 1/3 Four letters picked without replacement from {g: 5, t: 8}. Give prob of picking 4 g. 1/143 What is prob of picking 2 w and 1 q when three letters picked without replacement from wqwwqffqjjw? 6/55 What is prob of picking 3 d when three letters picked without replacement from {d: 5}? 1 Two letters picked without replacement from {a: 3, y: 3, v: 6, x: 1}. Give prob of picking 1 a and 1 y. 3/26 Three letters picked without replacement from {a: 8, z: 2, y: 1, l: 1, d: 1, g: 1}. What is prob of picking 1 g and 2 z? 1/364 What is prob of picking 2 p when two letters picked without replacement from azzpazzpa? 1/36 Two letters picked without replacement from {r: 2, y: 18}. What is prob of picking 1 r and 1 y? 18/95 Three letters picked without replacement from vveevvdvee. What is prob of picking 2 v and 1 e? 1/3 Three letters picked without replacement from {l: 1, d: 1, y: 3, j: 2, f: 3}. Give prob of picking 2 j and 1 f. 1/40 What is prob of picking 1 f, 2 m, and 1 q when four letters picked without replacement from {j: 5, f: 2, q: 1, l: 1, m: 3}? 2/165 What is prob of picking 1 b and 2 y when three letters picked without replacement from {y: 4, o: 2, d: 1, b: 1, c: 1}? 1/14 What is prob of picking 2 o and 2 n when four letters picked without replacement from nzvzozvovnvz? 1/495 Four letters picked without replacement from {n: 6, j: 6}. Give prob of picking 3 j and 1 n. 8/33 Calculate prob of picking 2 o when two letters picked without replacement from ootmmoommtvtovootz. 7/51 What is prob of picking 4 n when four letters picked without replacement from ononnnnonnnnnnnnnn? 91/204 Calculate prob of picking 1 c and 2 e when three letters picked without replacement from cwiebeo. 1/35 Three letters picked without replacement from {i: 6, o: 3, j: 1, x: 3}. What is prob of picking 1 i, 1 j, and 1 x? 9/143 Three letters picked without replacement from aakaiikqqkqaqqq. Give prob of picking 3 k. 1/455 Four letters picked without replacement from {n: 3, q: 1, i: 11}. Give prob of picking 1 q and 3 n. 1/1365 Four letters picked without replacement from {o: 2, t: 2, y: 10}. Give prob of picking 1 o and 3 y. 240/1001 Four letters picked without replacement from zzzzzzzggz. What is prob of picking 2 z and 2 g? 2/15 Two letters picked without replacement from {h: 2, e: 2, j: 1, p: 6}. What is prob of picking 2 e? 1/55 Four letters picked without replacement from {v: 6, u: 6, n: 1, s: 1, i: 5}. Give prob of picking 1 s, 1 i, and 2 u. 25/1292 Two letters picked without replacement from gggwgggwg. What is prob of picking 2 g? 7/12 Four letters picked without replacement from {q: 4, l: 10, j: 6}. Give prob of picking 2 l and 2 j. 45/323 What is prob of picking 2 e when two letters picked without replacement from egegg? 1/10 Two letters picked without replacement from {r: 2, p: 2, v: 4, a: 3, w: 8}. What is prob of picking 2 r? 1/171 What is prob of picking 2 g and 1 u when three letters picked without replacement from {g: 3, u: 11}? 33/364 Two letters picked without replacement from vxxxxxvvvxx. What is prob of picking 1 x and 1 v? 28/55 Four letters picked without replacement from iiieieiii. Give prob of picking 4 i. 5/18 What is prob of picking 1 b and 1 c when two letters picked without replacement from caancccb? 1/7 Four letters picked without replacement from {l: 10}. Give prob of picking 4 l. 1 Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {a: 1, u: 4, n: 5, v: 1}. 2/33 Calculate prob of picking 1 n, 1 z, and 1 u when three letters picked without replacement from aaaazannznuznnuzuzt. 25/323 What is prob of picking 2 d and 1 g when three letters picked without replacement from {d: 3, f: 2, x: 8, g: 2}? 6/455 Calculate prob of picking 1 q and 2 x when three letters picked without replacement from qqqxqxqxqqqqqx. 15/91 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from uumvuxz. 1/21 Two letters picked without replacement from jjfffjfjnxxcfjjjj. What is prob of picking 1 c and 1 x? 1/68 What is prob of picking 4 s when four letters picked without replacement from sszsssss? 1/2 What is prob of picking 1 j and 1 r when two letters picked without replacement from raaarrjarasrasaa? 1/24 Three letters picked without replacement from kkkkkkckkckkckkk. Give prob of picking 2 c and 1 k. 39/560 Calculate prob of picking 3 j and 1 r when four letters picked without replacement from {y: 3, j: 4, r: 13}. 52/4845 What is prob of picking 1 r and 1 h when two letters picked without replacement from {c: 1, l: 4, h: 1, r: 4}? 4/45 Calculate prob of picking 1 z and 1 l when two letters picked without replacement from qrbrrbqzrqzrzzrlr. 1/34 What is prob of picking 1 r and 1 g when two letters picked without replacement from {y: 1, s: 1, r: 2, g: 1, x: 1, c: 1}? 2/21 Four letters picked without replacement from yddssysdd. Give prob of picking 3 s and 1 d. 2/63 Four letters picked without replacement from qqqqqq. What is prob of picking 4 q? 1 What is prob of picking 2 l and 1 i when three letters picked without replacement from {i: 2, l: 2}? 1/2 Two letters picked without replacement from {s: 1, i: 1, f: 9, a: 1, p: 3, g: 3}. Giv
{ "pile_set_name": "DM Mathematics" }
2872*j**2 + 1649*j + 4937. Is n(-3) a multiple of 182? False Let n = -444 + 433. Let c(u) = -u**3 - 8*u**2 + 22*u + 7. Does 5 divide c(n)? False Suppose 2*q - 522 = -16*q. Suppose -q*z - 336 = -32*z. Does 16 divide z? True Suppose d - 1047 = 5*t + 5*d, -2*t - 426 = -2*d. Suppose 2*f + g = -227, 5*f + 2*g + 772 - 205 = 0. Let k = f - t. Does 16 divide k? False Let h(s) = -6*s**3 - 2*s**2 + 2*s + 34. Let a be h(-7). Suppose a = 2*d + d. Suppose -5*u + d = 5*m - 2*u, 3*m + 4*u - 396 = 0. Does 44 divide m? True Suppose -4*w - 20 = 0, 12*v - 13*v - 5*w - 23 = 0. Does 22 divide v/(10062/2010 + -5)? False Let d(i) = i**2 - 5*i - 23. Let l be d(8). Let j be l/(-2)*(11 - -159). Let r = 129 + j. Is 4 a factor of r? True Let k = 47971 + -28611. Is 88 a factor of k? True Let r = 180 + -149. Let c = 76 - r. Is 13 a factor of (-3)/2*(-2040)/c? False Suppose 5*a - 188 = 4*m, 0*a + 5*m - 62 = -2*a. Let f(b) = b - 5. Let v be f(7). Suppose -q = -v*q + a. Is q a multiple of 12? True Suppose -4*w + 1328 = -2*z, 4*w + 5*z - 617 - 739 = 0. Suppose 4*h = -2*l + 2140, -5*l = -h + 179 + w. Is 41 a factor of h? True Let c(h) = 38*h + 1173. Is c(0) a multiple of 45? False Suppose 11 - 31 = -10*d. Does 89 divide -511*6*d/(-28)? False Suppose -13*p - 9*p = -414612. Does 39 divide p? False Let p be (1 + 2)/3 - -23. Suppose -2*l - 89 = -3*b, 0 = 3*b - 2*l + 6*l - 65. Let n = p + b. Is 17 a factor of n? True Let t be 1/((-4)/(-8) - 1/4). Let b be (11/3 - t)*-9 + 763. Let y = b + -511. Does 15 divide y? True Let w(n) = n**3 + 3*n + 10. Let t = -238 - -243. Is 25 a factor of w(t)? True Let p = -54 + 57. Let h be 1/p - 16/48. Is 16*1 + (0 - h) a multiple of 9? False Is (2716/126)/((-4)/(-108))*(-128)/(-3) a multiple of 16? True Suppose 87 = 13*a - 2175. Let t = a + 41. Suppose -v = -c - 106, 7*v - 5*v = c + t. Is 5 a factor of v? False Suppose 6552 = -15*h + 33*h. Let f = h - 284. Is 40 a factor of f? True Suppose 0 = -101*a + 134*a - 467082. Is 44 a factor of a? False Let s(b) = -10*b**2 - 116*b + 16. Let o be s(-15). Let r = o + 702. Does 6 divide r? False Let m be 7*(-10)/84*-6. Suppose -15*t + 440 = -m*t. Is t a multiple of 22? True Let q = 252 + -192. Suppose q = r - 56. Is 15 a factor of r? False Suppose -223 - 65 = 6*c. Let k = c - -110. Is k a multiple of 7? False Suppose -27*h - 20 = -32*h. Let u(k) = -5 + 9 + 19*k**2 - k - h*k. Is 10 a factor of u(2)? True Suppose a + 4*x + 2193 = 6*a, -897 = -2*a - 5*x. Suppose -2*k - 7 = -a. Does 9 divide k? False Let v = -217 + 222. Suppose -p - 2*p + 823 = -m, -v*p + 2*m = -1373. Does 39 divide p? True Suppose 2*d + 46 = 2*k, -3 = -d - 7. Let p(z) = 2*z**2 - 36*z + 259. Let x be p(17). Suppose -x = -22*o + k*o. Is o a multiple of 15? True Let o(q) = -q**3 - 6*q**2 - 7*q - 7. Let i be o(-5). Suppose -i*b + 97 + 125 = 0. Does 13 divide (-1 + b/(-4))*(-4)/2? True Suppose -2*g + 9 = 7. Let w be g/1 - 1241/17. Let j = w - -107. Is 35 a factor of j? True Suppose -135*w + 1304748 = -27*w + 383616. Is 11 a factor of w? False Suppose -2*i + 5*i = -4*c + 2483, 3*c = 2*i + 1875. Does 2 divide c? False Let w = -51 - -54. Suppose 3*n + 4*p = 77, -n + 4*p - 3*p = -35. Suppose -w*s + n = -92. Does 5 divide s? False Let s = 36 - -26. Let h = s - 81. Let m = 49 + h. Is m a multiple of 9? False Suppose 3*d + 690 = -2*z, 0*z = 5*z - 3*d + 1683. Let b = z - -513. Is 58 a factor of b? True Let z(w) = 6*w**2 + 12*w - 4. Let v be z(-6). Let b be -3*(-3 + -93)/(-4). Let j = v + b. Is j a multiple of 34? True Let p = 3775 - -2705. Does 48 divide p? True Let h be -2 + (6 - 2) - -15. Let z(j) = 8*j + 49 - 18*j + h*j. Is z(22) a multiple of 16? False Suppose -t - 3*x = -4389, 4*t + 15*x - 10*x - 17535 = 0. Is 60 a factor of t? True Let c(r) = -3*r + 16. Let j be c(10). Is 32 a factor of (j/3 + 6)*24? True Let q = 7 - 5. Let f(p) = -p**3 + p + 1. Let b be f(q). Let y(c) = -c + 4. Is 9 a factor of y(b)? True Suppose 6286*j - 78705 = 6277*j. Does 159 divide j? True Let g(n) = 66*n - 4064. Is g(90) a multiple of 2? True Let r = 40 - 42. Let v be 3/r*(-3416)/21*1. Suppose -8*t + 948 = v. Does 22 divide t? True Let h(q) be the third derivative of -19*q**7/2520 - 3*q**5/10 + 18*q**2. Let p(t) be the third derivative of h(t). Is p(-4) a multiple of 33? False Let v(u) = -u**3 + 26*u**2 + 32*u - 26. Let l be (-20)/12 - 596/(-12). Let x = l + -21. Is 22 a factor of v(x)? False Let k(s) = -81*s - 207. Let d = 95 - 108. Is 47 a factor of k(d)? True Suppose -3294 = -y - 5*q + 129, 4*y - 3*q = 13669. Does 48 divide y? False Suppose -30*o + 35781 = -41935 - 73604. Does 31 divide o? False Let c = -1846 - -3794. Is c a multiple of 22? False Let s = 168 + -285. Let y(f) = -79*f + 235. Let d be y(3). Is s*(3/3 + d) a multiple of 9? True Suppose 17 = 4*h - n, 3*n + 6 = 28*h - 25*h. Does 10 divide h/(-50) + (-4806)/(-60)? True Let l(p) be the first derivative of -p**4/4 + p**3 - 5*p**2/2 + 16*p + 13. Is l(-4) a multiple of 28? False Suppose 262 = 3*f - 2*z, -4*z + 8 = -2*z. Let d = f + -17. Does 6 divide d? False Let n(u) = 12*u**2 - 8*u - 39. Let w(x) = -5*x**2 + 19*x - 2. Let d be w(4). Is 19 a factor of n(d)? False Suppose -3*f + 101*z = 105*z - 19594, 4*z - 32638 = -5*f. Is f a multiple of 155? False Let g(y) = -3*y - 24. Let z be g(-6). Let a be (-1)/(2/11) + (-9)/z. Is 15 a factor of (a/(-2))/((-9)/(-846))? False Suppose 5*f = b + 2*b - 50, 71 = 5*b + 4*f. Suppose 4*y - 3*u - b = -0*y, -2*y - 15 = 3*u. Suppose -112 = -y*h - h. Does 28 divide h? True Let v = -2034 - -3330. Does 5 divide v? False Let v(d) = 3*d**3 + 127*d**2 - 80*d - 105. Is 5 a factor of v(-42)? False Suppose 7*l - 85 - 370 = 0. Does 13 divide ((-437)/5)/((-13)/l)? False Suppose -f + s + 49 = -8, 4*f - 204 = -4*s. Does 22 divide 3568/f*6 - (-4)/(-9)? True Let d = 19907 - 8770. Does 43 divide d? True Suppose 5*w = -4*l + l + 3335, 4*w + 1089 = l. Does 13 divide l? True Let q(l) = 238 - 257 - 55*l + 17*l. Is 15 a factor of q(-8)? True Suppose 440*j + 4662252 = 13270852. Is j a multiple of 65? True Let n(j) = j**3 + 22*j**2 + 20*j - 30. Let g be n(-21). Is (2/g + 8028/405)*10 a multiple of 12? False Let q = 38 - 11. Let l = q + -25. Suppose -l*c + 35 = -9. Is 11 a factor of c? True Suppose 0 = -4*f + 20 + 12. Let l(a) = 5*a**2 + 7*a + 11. Let b(y) = -13*y**2 - 13*y - 23. Let m(s) = 2*b(s) + 5*l(s). Does 11 divide m(f)? False Let q = 160 - 165. Let o(z) = 3*z**2 + 2*z - 2. Is o(q) a multiple of 7? True Let v = 42 - 40. Let z(w) = -29*w**2 + 3 + 15*w**2 + 33*w + 13*w**v. Does 16 divide z(32)? False Let j be 1/2*(1 - -3). Let t be (-6 + 27)/(-7) - -43. Suppose o + 14 = x + t, 0 = -j*o + 3*x + 53. Is 7 a factor of o? False Let y(a) = 5*a + 35. Let f be y(-7). Suppose -4*n + 835 + 113 = f. Is n a multiple of 23? False Let k(r) = 42*r + 4. Let l be k(-4). Let s = l - -355. Does 8 divide s? False Is 14 a factor of ((-10676)/16)/(5*(-18)/4680)? False Suppose 4*z + 13 + 3 = 0. Let c(j) = -j**2 - 5*j. Let w be c(z). Is (-5)/(-1 + 4 - w) even? False Let w = 175 + -173. Suppose d + 902 = 3*t, 0*d + w*d + 309 = t. Is 50 a factor of t? False Suppose 6*w - 11 = 8*w - 5*j, 3*w = 2*j. Suppose w = 6*q - 5*q. Is (438 + 30)/(3/q) a multiple of 39? True Let x(l) = -2*l**3 - 32*l**2 - 79*l - 30. Is 29 a factor of x(-26)? True Let f = -13174 - -18634. Is f a multiple of 65? True Is (127062/(-195))/(10/(-75)) a multiple of 4? False Is 450/25 - -22856 - -22 a multiple of 9? True Let m = 11558 - -2638. Is 68 a factor of m? False Suppose -l + 6243 = s, 26*s - 2*l = 27*s - 6237. Is 15 a factor of s? False Let r(q) = q**2 + 3*q + 211. Let k be r(0). Let w = k + 9. Is 6 a factor of w? False Let w(i) = 4*i**2 - 183*i - 66. Let l be w(47). Let a = 247 - l. Is 6 a factor of a? True Let p = 7900 + -5451. Suppose p + 215 = 8*k. Does 8 divide k? False Let i = -124 - -126. Suppose -2 + 12 = -2*d, 243 = i*h - 3*d. Is 19 a factor of h? True Let s(n) = 65*n**2 - 36*n + 25. Is 10 a factor of s(15)? True Let f(w) be the second derivative of -w**4/12 - 4*w**3/3 + 7*w**2 - 5*w - 18. Let n = 3 + -12. Is 2 a factor of f(n)? False Is 19 a factor of (-4)/18 - (-396042)/(-4)*(-288)/1944? True Let g(k) = -k**3 - 14*k**2 + 2*k + 4. Let r be g(-11). Let j be r/15 + 2/5. Let v = 0 - j. Does 12 divide v? False Let c = 804 + -524. Let m = -193 + c. Is m a mul
{ "pile_set_name": "DM Mathematics" }
115 What is the remainder when 79 is divided by 10? 9 What is the remainder when 790 is divided by 72? 70 Calculate the remainder when 299 is divided by 4. 3 Calculate the remainder when 250 is divided by 86. 78 What is the remainder when 5844 is divided by 172? 168 Calculate the remainder when 122 is divided by 24. 2 What is the remainder when 211 is divided by 36? 31 Calculate the remainder when 5503 is divided by 16. 15 What is the remainder when 437 is divided by 10? 7 Calculate the remainder when 16177 is divided by 87. 82 Calculate the remainder when 523 is divided by 75. 73 Calculate the remainder when 57 is divided by 6. 3 What is the remainder when 117 is divided by 7? 5 Calculate the remainder when 87 is divided by 19. 11 Calculate the remainder when 2278 is divided by 10. 8 Calculate the remainder when 13 is divided by 6. 1 Calculate the remainder when 1378 is divided by 60. 58 Calculate the remainder when 1604 is divided by 776. 52 Calculate the remainder when 278 is divided by 57. 50 What is the remainder when 83 is divided by 68? 15 What is the remainder when 67 is divided by 43? 24 What is the remainder when 747 is divided by 29? 22 What is the remainder when 89 is divided by 22? 1 Calculate the remainder when 1580 is divided by 88. 84 Calculate the remainder when 974 is divided by 33. 17 Calculate the remainder when 41 is divided by 11. 8 Calculate the remainder when 59 is divided by 23. 13 Calculate the remainder when 128 is divided by 8. 0 What is the remainder when 141 is divided by 37? 30 Calculate the remainder when 811 is divided by 141. 106 What is the remainder when 80 is divided by 35? 10 Calculate the remainder when 1443 is divided by 160. 3 Calculate the remainder when 1234 is divided by 155. 149 Calculate the remainder when 5035 is divided by 11. 8 Calculate the remainder when 177 is divided by 82. 13 What is the remainder when 926 is divided by 32? 30 What is the remainder when 911 is divided by 16? 15 Calculate the remainder when 38 is divided by 21. 17 What is the remainder when 508 is divided by 30? 28 Calculate the remainder when 99 is divided by 50. 49 What is the remainder when 474 is divided by 385? 89 Calculate the remainder when 2938 is divided by 16. 10 Calculate the remainder when 90401 is divided by 38. 37 Calculate the remainder when 116 is divided by 30. 26 Calculate the remainder when 1344 is divided by 1332. 12 What is the remainder when 103 is divided by 7? 5 What is the remainder when 393 is divided by 80? 73 Calculate the remainder when 52 is divided by 17. 1 Calculate the remainder when 29 is divided by 15. 14 Calculate the remainder when 550 is divided by 192. 166 Calculate the remainder when 195 is divided by 22. 19 What is the remainder when 3480 is divided by 81? 78 Calculate the remainder when 477 is divided by 93. 12 Calculate the remainder when 238 is divided by 62. 52 Calculate the remainder when 494 is divided by 27. 8 Calculate the remainder when 223 is divided by 63. 34 Calculate the remainder when 36 is divided by 26. 10 What is the remainder when 1845 is divided by 232? 221 Calculate the remainder when 148 is divided by 44. 16 Calculate the remainder when 731 is divided by 183. 182 Calculate the remainder when 1474 is divided by 245. 4 Calculate the remainder when 37 is divided by 24. 13 What is the remainder when 61 is divided by 8? 5 What is the remainder when 2966 is divided by 34? 8 Calculate the remainder when 549 is divided by 69. 66 What is the remainder when 10 is divided by 8? 2 Calculate the remainder when 248 is divided by 3. 2 Calculate the remainder when 323 is divided by 102. 17 What is the remainder when 1739 is divided by 159? 149 Calculate the remainder when 2613 is divided by 22. 17 Calculate the remainder when 1312 is divided by 9. 7 Calculate the remainder when 1075 is divided by 135. 130 Calculate the remainder when 1846 is divided by 1829. 17 Calculate the remainder when 2710 is divided by 386. 8 What is the remainder when 275 is divided by 14? 9 Calculate the remainder when 77 is divided by 40. 37 Calculate the remainder when 31 is divided by 22. 9 Calculate the remainder when 218 is divided by 60. 38 Calculate the remainder when 14817 is divided by 130. 127 What is the remainder when 19 is divided by 15? 4 What is the remainder when 1274 is divided by 146? 106 Calculate the remainder when 1081 is divided by 321. 118 Calculate the remainder when 71 is divided by 18. 17 What is the remainder when 349 is divided by 115? 4 What is the remainder when 146 is divided by 25? 21 What is the remainder when 1473 is divided by 487? 12 Calculate the remainder when 237 is divided by 80. 77 What is the remainder when 3870 is divided by 774? 0 What is the remainder when 256 is divided by 133? 123 Calculate the remainder when 11 is divided by 10. 1 What is the remainder when 155 is divided by 5? 0 Calculate the remainder when 51 is divided by 33. 18 Calculate the remainder when 232 is divided by 78. 76 What is the remainder when 394 is divided by 372? 22 Calculate the remainder when 116 is divided by 12. 8 What is the remainder when 9421 is divided by 11? 5 What is the remainder when 597 is divided by 5? 2 Calculate the remainder when 28 is divided by 9. 1 Calculate the remainder when 478 is divided by 24. 22 What is the remainder when 332 is divided by 17? 9 What is the remainder when 409 is divided by 41? 40 What is the remainder when 32 is divided by 12? 8 Calculate the remainder when 1967 is divided by 17. 12 What is the remainder when 107 is divided by 17? 5 What is the remainder when 383 is divided by 120? 23 Calculate the remainder when 23 is divided by 5. 3 Calculate the remainder when 405 is divided by 56. 13 What is the remainder when 1106 is divided by 28? 14 Calculate the remainder when 40 is divided by 6. 4 What is the remainder when 247 is divided by 69? 40 What is the remainder when 109 is divided by 103? 6 What is the remainder when 41 is divided by 20? 1 Calculate the remainder when 1527 is divided by 62. 39 Calculate the remainder when 99 is divided by 46. 7 What is the remainder when 2083 is divided by 7? 4 What is the remainder when 701 is divided by 118? 111 Calculate the remainder when 32 is divided by 11. 10 What is the remainder when 3534 is divided by 440? 14 Calculate the remainder when 963 is divided by 22. 17 Calculate the remainder when 121 is divided by 36. 13 Calculate the remainder when 722 is divided by 30. 2 What is the remainder when 753 is divided by 29? 28 What is the remainder when 413 is divided by 23? 22 What is the remainder when 1037 is divided by 40? 37 Calculate the remainder when 1086 is divided by 136. 134 Calculate the remainder when 939 is divided by 79. 70 What is the remainder when 131 is divided by 61? 9 What is the remainder when 3005 is divided by 131? 123 What is the remainder when 2006 is divided by 57? 11 Calculate the remainder when 246 is divided by 31. 29 Calculate the remainder when 176 is divided by 64. 48 What is the remainder when 1091 is divided by 109? 1 Calculate the remainder when 90 is divided by 25. 15 What is the remainder when 515 is divided by 23? 9 Calculate the remainder when 167 is divided by 35. 27 What is the remainder when 67 is divided by 3? 1 Calculate the remainder when 1048 is divided by 1044. 4 What is the remainder when 416 is divided by 70? 66 What is the remainder when 112 is divided by 6? 4 Calculate the remainder when 134 is divided by 32. 6 What is the remainder when 320 is divided by 6? 2 What is the remainder when 6 is divided by 2? 0 Calculate the remainder when 318 is divided by 64. 62 What is the remainder when 206 is divided by 13? 11 What is the remainder when 59 is divided by 22? 15 Calculate the remainder when 414 is divided by 66. 18 Calculate the remainder when 5145 is divided by 99. 96 What is the remainder when 3850 is divided by 82? 78 What is the remainder when 47 is divided by 7? 5 What is the remainder when 213 is divided by 72? 69 What is the remainder when 518 is divided by 10? 8 Calculate the remainder when 349 is divided by 8. 5 Calculate the remainder when 120 is divided by 39. 3 Calculate the remainder when 387 is divided by 26. 23 What is the remainder when 1
{ "pile_set_name": "DM Mathematics" }
of 2242 and 1102? 65018 Calculate the smallest common multiple of 1324 and 10. 6620 Calculate the common denominator of 113/516 and -23/860. 2580 What is the common denominator of -9/7 and -22/5? 35 What is the least common multiple of 9 and 5962? 53658 What is the lowest common multiple of 96 and 16? 96 Calculate the common denominator of -11/320 and -53/18. 2880 Calculate the common denominator of 77/8 and -11/8. 8 Calculate the common denominator of 65/64 and -23/280. 2240 Calculate the smallest common multiple of 12 and 148. 444 Calculate the least common multiple of 415 and 55. 4565 Calculate the smallest common multiple of 7170 and 10755. 21510 Calculate the least common multiple of 288 and 5940. 47520 Calculate the least common multiple of 373 and 2. 746 Calculate the smallest common multiple of 2322 and 774. 2322 Find the common denominator of 43/2 and -101/188. 188 Calculate the least common multiple of 372 and 744. 744 Calculate the smallest common multiple of 1418 and 10. 7090 Find the common denominator of 9/35 and 107/100. 700 Find the common denominator of 55/4 and -33/239. 956 What is the least common multiple of 74 and 222? 222 What is the lowest common multiple of 4 and 680? 680 Calculate the common denominator of -79/22 and 17/10. 110 What is the common denominator of 97/18 and -68/1155? 6930 What is the common denominator of 89/100 and -59/50? 100 Find the common denominator of 7/6 and 21/2468. 7404 What is the common denominator of -137/54 and -7/18? 54 What is the least common multiple of 12 and 240? 240 What is the least common multiple of 540 and 1080? 1080 What is the lowest common multiple of 423 and 329? 2961 Find the common denominator of 17/7 and -7/114. 798 Calculate the common denominator of -47/3 and 51/553. 1659 Find the common denominator of 151/3888 and -67/648. 3888 Calculate the smallest common multiple of 188 and 2397. 9588 What is the lowest common multiple of 192 and 12? 192 Calculate the lowest common multiple of 20 and 20. 20 Calculate the lowest common multiple of 33 and 9. 99 What is the common denominator of 8/2583 and -61/738? 5166 Calculate the smallest common multiple of 3246 and 3. 3246 Find the common denominator of 91/18 and 181/2790. 2790 Find the common denominator of 5/4 and 123/2890. 5780 Calculate the common denominator of -7/1016 and 55/762. 3048 Calculate the lowest common multiple of 784 and 40. 3920 Find the common denominator of -81/1136 and 57/994. 7952 Calculate the common denominator of -41/8181 and -16/2727. 8181 What is the common denominator of 29/156 and 55/6? 156 What is the common denominator of 103/30 and -109/750? 750 Calculate the smallest common multiple of 3 and 7512. 7512 Calculate the least common multiple of 513 and 513. 513 What is the lowest common multiple of 393 and 3? 393 What is the common denominator of 61/92 and -95/6? 276 Calculate the lowest common multiple of 117 and 12. 468 What is the least common multiple of 7 and 3? 21 What is the common denominator of 119/5070 and -1/10? 5070 Calculate the common denominator of 157/156 and -73/78. 156 What is the lowest common multiple of 56 and 63? 504 Find the common denominator of -61/45 and 33/25. 225 What is the smallest common multiple of 25 and 10? 50 Find the common denominator of 65/112 and -143/96. 672 Find the common denominator of -59/8 and 97/1322. 5288 Calculate the least common multiple of 78 and 9. 234 Find the common denominator of 25/42 and -27/22. 462 Calculate the common denominator of -5/7 and -22/5123. 35861 Calculate the common denominator of -77/30 and 52/315. 630 What is the smallest common multiple of 304 and 128? 2432 What is the lowest common multiple of 8 and 127? 1016 What is the common denominator of 53/3848 and -32/4329? 34632 Find the common denominator of 43/804 and 45/4. 804 Calculate the smallest common multiple of 33 and 114. 1254 Calculate the smallest common multiple of 108 and 108. 108 Calculate the common denominator of 101/8 and -73/134. 536 Calculate the common denominator of 52/205 and -71/30. 1230 Find the common denominator of 19/108 and -82/297. 1188 Calculate the common denominator of -131/690 and -73/1932. 9660 Calculate the least common multiple of 14 and 102. 714 What is the common denominator of -1 and 1/158? 158 What is the least common multiple of 208 and 2730? 21840 What is the common denominator of -103/168 and -31/384? 2688 Find the common denominator of 31/4 and -93/16904. 16904 Calculate the least common multiple of 56 and 3836. 7672 Calculate the common denominator of 73/40 and 93/20. 40 What is the least common multiple of 814 and 259? 5698 Find the common denominator of -47/51 and 34/99. 1683 What is the common denominator of 34/3051 and -121/126? 42714 What is the common denominator of -63/508 and -67/124? 15748 Calculate the smallest common multiple of 5 and 7. 35 Calculate the lowest common multiple of 108 and 180. 540 Calculate the lowest common multiple of 220 and 1155. 4620 Find the common denominator of -23/87 and -47/7. 609 Find the common denominator of 11/48 and -49/6. 48 Calculate the smallest common multiple of 833 and 952. 6664 What is the common denominator of 37/693 and 55/126? 1386 Calculate the lowest common multiple of 12 and 837. 3348 Calculate the common denominator of -131/72 and -17/30. 360 Calculate the least common multiple of 756 and 1176. 10584 Calculate the common denominator of -113/456 and 97/42. 3192 Find the common denominator of 93/3280 and -133/110. 36080 Find the common denominator of -109/192 and 7/160. 960 Find the common denominator of -49/24 and -13/174. 696 Find the common denominator of 45/2849 and -43/49. 19943 Calculate the smallest common multiple of 517 and 423. 4653 Calculate the common denominator of -23/53 and -54/5. 265 What is the lowest common multiple of 75 and 55? 825 What is the common denominator of -119/30 and -17/405? 810 What is the common denominator of -21/8 and -69/32? 32 Calculate the common denominator of 37/16 and 119/4670. 37360 What is the lowest common multiple of 424 and 62? 13144 Calculate the common denominator of 51/3880 and -79/3880. 3880 Calculate the least common multiple of 616 and 231. 1848 Find the common denominator of -26 and -73/130. 130 Calculate the least common multiple of 6028 and 88. 12056 What is the common denominator of 139/540 and 59/132? 5940 What is the common denominator of 19/10 and -20/21? 210 What is the least common multiple of 14 and 196? 196 What is the smallest common multiple of 196 and 4067? 16268 Find the common denominator of 127/540 and -80/99. 5940 What is the common denominator of 77/670 and 89/348? 116580 What is the smallest common multiple of 36 and 456? 1368 Find the common denominator of 9/16 and -109/40734. 325872 What is the common denominator of -85/38 and 25/29? 1102 Find the common denominator of -139/150 and 17/6. 150 Calculate the common denominator of 97/2070 and -31/130. 26910 Calculate the common denominator of -13/18 and -1/564. 1692 What is the least common multiple of 270 and 6? 270 What is the least common multiple of 24 and 42? 168 Calculate the smallest common multiple of 224 and 392. 1568 What is the smallest common multiple of 15 and 129? 645 Find the common denominator of 26/495 and -8/759. 11385 Calculate the smallest common multiple of 3370 and 6. 10110 Find the common denominator of -81/40 and 43/135. 1080 Find the common denominator of 33/344 and 151/516. 1032 What is the smallest common multiple of 42 and 7? 42 Calculate the least common multiple of 32 and 48. 96 What is the common denominator of -65/18 and 37/12104? 108936 What is the smallest common multiple of 15 and 1795? 5385 Find the common denominator of 2/9 and -149/90. 90 Calculate the smallest common multiple of 208 and 38. 3952 Calculate the lowest common multiple of 10 and 10. 10 Calculate the common denominator of 35/464 and -63/1450. 11600 What is the common denominator of -59/86 and -79/4? 172 Calculate the lowest common multiple of 22 and 3240. 35640 Calculate the smallest common multiple of 2582 and 15. 38730 Calculate the common denominator of 23/8 and 3/8. 8 Calculate the smallest common multiple of 84 and 744. 5208 Calculate the smallest common multipl
{ "pile_set_name": "DM Mathematics" }
earrange -924*m**2 + 926*m**2 + 8*m + 5*m - m to the form b + o*m + h*m**2 and give o. 12 Express (-3*l + 4*l + 4*l)*(-2 + l**2 + 2) - 3*l**3 + 5*l**3 - 3*l**3 as d*l + f*l**2 + h*l**3 + t and give h. 4 Express (-7*p + 47*p**2 - 96*p**2 + 52*p**2)*(-5 + 2 + 2) in the form r + c*p + u*p**2 and give u. -3 Express (2 + 3 - 3)*(0 - 2 + 0 - x)*(4*x**2 + 2*x**3 - 4*x**2) in the form d + i*x**4 + w*x**2 + u*x**3 + g*x and give u. -8 Express -o - 10*o + 0 + 0 in the form j + w*o and give w. -11 Express (-1 - 7*v**3 + 4*v**3 + v**3)*(28 - 28 - 5*v)*(4 - 3 - 2)*(1 - 2 + 3) in the form o*v**3 + f*v + b*v**4 + t*v**2 + m and give b. -20 Rearrange -y**4 + 2*y**4 + y**4 + (12*y**2 + 10*y**2 - y**2)*(3*y**2 - y**2 - 4*y**2) to the form b + u*y + z*y**3 + c*y**2 + a*y**4 and give a. -40 Rearrange -2*k**3 - 2*k - 14*k**2 + 2*k + 3*k + 10*k**2 to the form h*k**2 + x + a*k**3 + v*k and give x. 0 Rearrange -180 + 37*x**2 + 180 to the form f + y*x**2 + l*x and give y. 37 Express -2*j - j**2 + 0*j**2 + 4*j + (-3 + 3 - 2*j)*(2 + 7*j - 2) in the form q*j**2 + c*j + h and give q. -15 Rearrange (-3*n + 2*n + 2*n)*(3 - 1 + 4*n + 2*n) to the form c*n**2 + r + d*n and give c. 6 Rearrange (-5*s - 1 + 1)*(-5 + 1 + 2) + (-1 + 1 + s)*(2 + 0 - 3) to q*s + g and give q. 9 Express (3*q + 0*q - 4*q)*(-11 - 51 - 41 + 29) as r*q + p and give r. 74 Rearrange -30*b + 19*b + 27*b - 1 to g*b + s and give s. -1 Express (0 - 6 + 0)*((n - 4*n + n)*(3 - 7 + 1) - 2*n - 3*n + 4*n) as h + v*n and give v. -30 Express 2*z**2 - 5*z**2 - 3*z + 3*z**2 + 4*z**2 in the form p*z**2 + x*z + o and give p. 4 Express (-161 + 251 - 119)*(2*w**2 - 2*w**2 - 2*w**2) as u*w + c + o*w**2 and give o. 58 Rearrange 3*t**2 + t + 14 + 20 - 35 to d + p*t + a*t**2 and give a. 3 Express (5 - 1 + 8 - 1 + 3 - 1 + (0 + 1 + 1)*(6 - 4 - 1) - 2 + 1 + 2)*(-k + 0*k + 7*k) in the form l*k + z and give l. 96 Express 8*b**2 - b**2 - b**2 + 11*b**2 as f*b + n*b**2 + m and give m. 0 Rearrange ((2 - 4 + 1)*(3 - 2 + 0) - 6 - 3 + 4)*(j**4 - 4*j**4 + 4*j**4) to the form l*j**4 + d*j + v*j**3 + m*j**2 + t and give l. -6 Express -4*l + 0*l + 8*l**2 + 2*l - l**2 as h*l + r + v*l**2 and give v. 7 Express 163 - 163 - 132*m in the form l*m + n and give l. -132 Rearrange -9*x + 21*x + 17*x + 7*x to the form n*x + d and give n. 36 Rearrange 152*q**4 - 163*q**4 - q**2 + q + 2*q to w*q**3 + p*q**2 + y*q + c*q**4 + x and give p. -1 Rearrange (-2*c + 4*c - c)*(2 - 2*c - 2 + (-3 - 2*c + 3)*(-1 - 2 + 2) - 4*c + 2*c + c - 2*c + 2*c - 2*c) to the form n*c + o + h*c**2 and give n. 0 Rearrange -2*r**2 + 161 - 165 - r**4 + 0*r**4 to the form t*r**3 + c*r**2 + m*r + u*r**4 + h and give h. -4 Express -4*c**3 + 32*c + 14*c**4 + 10*c**4 - 22*c**4 as i*c + v*c**2 + a*c**4 + p*c**3 + u and give p. -4 Rearrange (-3 + 5 + 8)*(-4 + 2 + 0)*(-4*f + 4*f + 2*f + (1 + 0 + 1)*(-3*f - f + 2*f)) to the form c*f + j and give c. 40 Express (-5*u**3 + 7*u**3 - 4 + 1)*(-3*u - 4*u + 3*u) as x + j*u**3 + f*u**4 + t*u + c*u**2 and give c. 0 Rearrange -123*w + 30*w + 50*w - 2*w**2 to the form n + c*w**2 + g*w and give g. -43 Rearrange (44*n**2 - 183*n**2 - 131*n**2 + 49*n**2)*(-4 + 4 + 2) to the form l + y*n**2 + i*n and give y. -442 Rearrange (18851 + 23*p + 47*p - 18853)*(-1 + 1 - p) to j*p**2 + y*p + z and give y. 2 Express -47*s + 26*s + 58*s in the form u*s + i and give u. 37 Rearrange -2 - 3*i**4 + i**2 - 17*i**3 - 8*i**3 + 37*i**3 - 14*i**3 to f*i**4 + o + h*i**2 + g*i + m*i**3 and give h. 1 Rearrange n - 63*n**2 + 5*n**4 - 2*n**4 + 62*n**2 + n + 3*n**3 to j + r*n**4 + v*n**2 + d*n + c*n**3 and give c. 3 Express (0 - 2 + 3)*(3*x + 2*x - x) + 5*x + 0*x + x in the form z*x + s and give z. 10 Rearrange 6*z**3 - 4 + 5*z**3 + z - 12*z**3 to the form m*z**3 + c*z**2 + q*z + l and give q. 1 Express (3*t - 4*t - 4*t)*(-1 - 5 - 3*t + 4) in the form o*t**2 + v*t + u and give v. 10 Express (1 - 1 - g**2)*(2 + 2*g - 2) + 1436*g**2 - 1436*g**2 - 45*g**3 + 0*g**3 + g**3 + g**3 in the form a*g + o + p*g**2 + v*g**3 and give v. -45 Express -3*z**3 - 1 + 5*z**3 - 3*z**3 - 1 as d*z**2 + v*z + l + n*z**3 and give l. -2 Rearrange (-w**2 - 2*w**2 + 4*w**2 + (4*w**2 - 2*w**2 + 0*w**2)*(1 - 3 + 3))*(-5 - w + 5) to y*w + p*w**3 + k + n*w**2 and give k. 0 Express (45*g - 21*g - 50*g)*(-g**3 - 3*g**3 + 2*g**3)*(4 + 0 - 2) as z*g**3 + v + n*g + p*g**4 + q*g**2 and give p. 104 Rearrange (3*o + o - 3*o)*(-4 - 3 - 4) + 0*o - 7*o - o to g*o + j and give j. 0 Express k - k**3 + 0*k - k**3 + (-3*k**2 - 2*k**2 - 5*k**2)*(3*k - 3*k + k) in the form p*k**3 + h + t*k**2 + w*k and give p. -12 Express 2*y - 3*y + y**2 + 6*y**2 + 2*y as m*y**2 + j + r*y and give r. 1 Express 4*x**4 - x + 326 - 326 + x**3 in the form t*x**3 + k + w*x + v*x**2 + l*x**4 and give l. 4 Express (-2*l + 2*l + 3*l)*(-2*l + 0*l - 2*l)*(-1 - 4 + 4) as x*l**2 + r + a*l and give r. 0 Express (-4*x + 5*x + 0*x)*(4 - 3 + 0 + (0 + 3 - 2)*(-2 + 4 + 0) + 0 - 2 + 3 + 3 - 4 + 2 - 5 - 5 + 6) as r + q*x and give r. 0 Express -3*k - k + k + 7*k as y + a*k and give y. 0 Rearrange (1 + 2 - 2)*(-132 + 132 + 35*s) to r*s + a and give r. 35 Express (-11 - 1 + 3)*(-1 + 2 + 1)*(-n - 2 + 2) as s + i*n and give i. 18 Rearrange -10*n**2 - 2 - 3*n + 3*n**2 + 2 to the form l*n + t + g*n**2 and give g. -7 Express -6 + 6 - 4*p**3 - p + 0 in the form n*p + k*p**2 + f + i*p**3 and give n. -1 Express 6 - 5*b - 6 + 18*b as w*b + o and give w. 13 Express (-3*d + 3*d - 2*d**2)*((7 - 4 + 2)*(9*d - 2*d - 3*d) + 1 + d - d - d) as v*d**2 + c*d + u*d**3 + m and give u. -38 Rearrange 10*n**2 + 0*n**2 - 5 + 5 to the form i + y*n + m*n**2 and give m. 10 Rearrange -a**3 + 0 + a**3 - 2 - 2*a**3 + 2*a**2 + 3*a to the form t*a**3 + j*a**2 + q*a + b and give q. 3 Rearrange 36*t - 4 - 4*t**3 + 6 - 33*t to the form p*t**2 + c*t + x + b*t**3 and give c. 3 Express -z + 2*z**4 - 4*z**2 + 29*z**3 + 3*z - 27*z**3 as b + q*z**4 + g*z**2 + l*z + n*z**3 and give g. -4 Express -5 - 15 - 2*d + 20 + 59*d**2 as t*d**2 + o*d + l and give t. 59 Rearrange -11 - 4*h - 2*h**3 + 2*h + 24 - h**2 to z + l*h**3 + d*h + w*h**2 and give l. -2 Express -107*n**2 + 102*n**2 - 4*n**4 + n**4 + (-4 + 4 + 2)*(-2*n**4 + 0*n**4 + 0*n**4) as w + i*n**4 + a*n**2 + y*n + z*n**3 and give i. -7 Rearrange (-i**2 + 3*i - 3*i + (-2 + 2 + 2*i)*(2*i - 2 + 2))*(0*i + 0*i + i) to d*i + j + p*i**2 + l*i**3 and give j. 0 Rearrange -r + 7*r**2 + 3*r - 9*r**2 - 2*r**3 + 4*r**2 to z*r**3 + u + j*r + t*r**2 and give t. 2 Express -u - 2*u - 3 - 2 - 3 as h*u + g and give g. -8 Express -4*h**2 + 6*h + h + 2*h**2 - 6*h as p + s*h**2 + d*h and give s. -2 Express 2 - 3*b**4 + 28*b**2 - 29*b**2 - 12*b**4 - 4*b - 3*b**4 as q*b**3 + k*b**4 + y + o*b**2 + t*b and give y. 2 Express -4*z - 2 + z**2 - 4 + 3*z + 3*z as k*z**2 + a*z + b and give k. 1 Rearrange -12*h**3 - 16 - h + 16 + 31*h**3 to the form i*h**3 + t + f*h**2 + j*h and give i. 19 Express -49*u**3 - 13 + 25*u**3 - 2*u**2 - 8 + 27*u**3 as k*u**3 + t*u**2 + z + c*u and give t. -2 Rearrange 4*m**3 - 7*m**2 + 21*m**2 - 12*m**2 to the form h*m**3 + a + w*m**2 + p*m and give w. 2 Express ((4 + 2 - 4)*(-2 + 3 + 1) + 4 + 2 - 5)*(-33*y**2 + 3*y**3 + 33*y**2) + 3*y - 3*y + y**3 as a + l*y + b*y**3 + u*y**2 and give b. 16 Express (3*j + j + j)*(11 - 11 - 12*j + (-1 - 3 + 2)*(-2*j + 1 - 1) - 6*j + 3*j + j) in the form n + h*j**2 + s*j and give h. -50 Express 17*l**3 - l**4 - 14*l**3 + 3 + 2*l**2 - 2 as s*l**4 + p*l**3 + c*l**2 + k + r*l and give c. 2 Express (4*v**2 + 2*v**2 - 5*v**2)*((5*v + 2*v - 5*v)*(-2 + 2 - 2) + v + 0*v - 3*v) as m + w*v**3 + n*v + o*v**2 and give w. -6 Rearrange -14*p - 4 + 1 + 3 to t + f*p and give f. -14 Rearrange (-3 - 4 + 5 + 0 + 1 + 1 + (1 + 0 + 0)*(4 - 1 - 1))*(0*n + n + 0*n)*(57 - 57 + 9*n) to l*n**2 + b + s*n and give l. 18 Express -97*z**3 - 6 - 7 + 22 - 7 in the form p*z**3 + g*z + f + m*z**2 and give f. 2 Rearrange (8*z - 3*z + z)*(3 + 3 - 4)*(-2 + 1 + 3) to q*z + x and give q. 24 Express (0*u - 2*u + 3*u)*(0 - 1 - 3) - 9*u + u + 5*u as g + r*u and give r. -7 Rearrange -3 + 3 + 19*h**2 - 59*h**2 to p + f*h**2 + j*h and give j. 0 Express 0*r + 2 - 1 + 11*r - 4 in the form x + h*r and give x. -3 Rearrange (2 + 2 - 3)*(12*n - 5*n**3 - 12*n) + (-4*n**2 + 6*n**2 - 4*n**2)*(-1 + 1 + n) + 0 + 0 - n**3 to h + q*n**2 + l*n + o*n**3 and give o. -8 Express (g + 0*g
{ "pile_set_name": "DM Mathematics" }
b: 2}. 2/63 Four letters picked without replacement from ojjjjxjoooxxjoo. Give prob of picking 3 o and 1 j. 8/91 Calculate prob of picking 3 p and 1 n when four letters picked without replacement from {n: 7, a: 1, f: 3, p: 3}. 1/143 What is prob of picking 1 n and 1 g when two letters picked without replacement from {z: 2, c: 3, n: 4, g: 1, k: 7}? 1/34 Three letters picked without replacement from {b: 4, l: 3, u: 1, w: 2}. What is prob of picking 2 b and 1 l? 3/20 Four letters picked without replacement from {e: 11, d: 4, y: 2, c: 1, s: 1}. Give prob of picking 1 y, 1 d, 1 c, and 1 s. 2/969 Four letters picked without replacement from {d: 9, a: 2}. What is prob of picking 2 d and 2 a? 6/55 Calculate prob of picking 3 a and 1 u when four letters picked without replacement from uaaouuau. 2/35 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from ffpblofobf. 2/45 Calculate prob of picking 2 m and 2 s when four letters picked without replacement from {l: 1, p: 1, u: 1, m: 2, v: 8, s: 3}. 3/1820 Three letters picked without replacement from {l: 3, b: 2, w: 1, n: 3, r: 1, z: 3}. Give prob of picking 2 z and 1 b. 3/143 Three letters picked without replacement from vuuuvnnuvvuunvv. Give prob of picking 1 u and 2 v. 18/91 Two letters picked without replacement from rkkkyaarra. Give prob of picking 1 r and 1 a. 1/5 Four letters picked without replacement from ptujpejsssp. Give prob of picking 1 j, 1 t, 1 e, and 1 p. 1/55 What is prob of picking 2 z and 2 v when four letters picked without replacement from {v: 7, z: 4}? 21/55 Calculate prob of picking 2 i and 1 u when three letters picked without replacement from uuxuuuxixuxixixxixiu. 7/114 What is prob of picking 1 k, 1 o, and 1 j when three letters picked without replacement from {k: 2, j: 1, o: 14}? 7/170 What is prob of picking 3 p when three letters picked without replacement from pffpffffpfppffpffff? 20/969 What is prob of picking 3 w and 1 j when four letters picked without replacement from {j: 1, t: 2, c: 1, p: 2, w: 3, l: 3}? 1/495 Three letters picked without replacement from uededuueiuv. Give prob of picking 2 u and 1 d. 4/55 What is prob of picking 1 e, 2 x, and 1 y when four letters picked without replacement from yxexp? 1/5 What is prob of picking 2 y and 1 f when three letters picked without replacement from {p: 6, f: 4, v: 3, y: 3, s: 2}? 1/68 What is prob of picking 1 t and 1 m when two letters picked without replacement from {s: 3, m: 4, b: 3, t: 2, h: 6}? 8/153 Two letters picked without replacement from ibzzizybyzyzzib. Give prob of picking 1 z and 1 y. 6/35 Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {u: 5, l: 3}. 15/28 Two letters picked without replacement from {e: 7, m: 3}. Give prob of picking 2 m. 1/15 Calculate prob of picking 2 s when two letters picked without replacement from vsvooslowseewow. 1/35 Four letters picked without replacement from aaaaaaavvaa. What is prob of picking 2 a and 2 v? 6/55 Four letters picked without replacement from zzzzdzzzl. What is prob of picking 1 d, 1 l, and 2 z? 1/6 What is prob of picking 2 o when two letters picked without replacement from bzgvgobggvbzxgvxbvo? 1/171 Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {z: 2, y: 3, h: 1, c: 10, s: 3}. 2/57 What is prob of picking 2 d when two letters picked without replacement from idddyii? 1/7 What is prob of picking 1 b and 3 h when four letters picked without replacement from dbtthiidiihhhjdhhj? 1/153 Two letters picked without replacement from lwllwluwllllwqelw. What is prob of picking 1 e and 1 q? 1/136 Two letters picked without replacement from {e: 2, s: 2, f: 2, g: 2, v: 7}. What is prob of picking 1 g and 1 e? 4/105 Three letters picked without replacement from {x: 1, w: 1, h: 3}. What is prob of picking 1 w and 2 h? 3/10 Calculate prob of picking 2 w when two letters picked without replacement from wooowcooqqccwoo. 1/35 Two letters picked without replacement from {g: 6, d: 2}. What is prob of picking 1 g and 1 d? 3/7 Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, s: 1, i: 7}. 1/45 What is prob of picking 3 f when three letters picked without replacement from {j: 1, f: 4, c: 1, o: 6, t: 1}? 2/143 Calculate prob of picking 1 u and 3 z when four letters picked without replacement from qzqquuzqjujjjzquqqq. 1/969 What is prob of picking 3 k when three letters picked without replacement from {k: 6, m: 2}? 5/14 Calculate prob of picking 3 e and 1 k when four letters picked without replacement from {n: 1, e: 10, j: 3, k: 1}. 8/91 What is prob of picking 1 q and 3 j when four letters picked without replacement from {j: 8, q: 3}? 28/55 What is prob of picking 2 k when two letters picked without replacement from kmimzck? 1/21 Two letters picked without replacement from {u: 12, m: 3}. Give prob of picking 1 u and 1 m. 12/35 Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vnvwtvnvv. 5/18 Two letters picked without replacement from hhn. Give prob of picking 2 h. 1/3 Four letters picked without replacement from umubmum. What is prob of picking 3 u and 1 b? 1/35 Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {n: 7, w: 3}. 7/15 Calculate prob of picking 1 c, 2 t, and 1 a when four letters picked without replacement from {e: 4, u: 4, c: 4, a: 1, t: 3}. 3/455 Calculate prob of picking 1 c and 3 u when four letters picked without replacement from {u: 3, c: 4}. 4/35 What is prob of picking 2 l and 2 s when four letters picked without replacement from {y: 2, g: 4, l: 2, x: 4, s: 2}? 1/1001 What is prob of picking 1 y and 2 z when three letters picked without replacement from {o: 1, d: 1, y: 1, g: 2, z: 2, n: 1}? 1/56 Three letters picked without replacement from anabzaqjzbnazaana. What is prob of picking 1 q, 1 b, and 1 z? 3/340 Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {m: 3, r: 4, c: 4, t: 3}. 12/91 What is prob of picking 1 l and 1 a when two letters picked without replacement from haihlwpli? 1/18 Calculate prob of picking 3 g when three letters picked without replacement from {z: 4, g: 8, v: 3, f: 4}. 56/969 Three letters picked without replacement from rcrcrcrrcriir. Give prob of picking 3 c. 2/143 Two letters picked without replacement from nnnnmmv. Give prob of picking 1 n and 1 v. 4/21 Calculate prob of picking 3 c when three letters picked without replacement from {c: 7, v: 2, r: 1}. 7/24 Three letters picked without replacement from {x: 3, g: 3}. What is prob of picking 2 g and 1 x? 9/20 Three letters picked without replacement from {g: 5, x: 4, i: 5}. What is prob of picking 1 g, 1 i, and 1 x? 25/91 Two letters picked without replacement from {l: 2, n: 1, v: 3, q: 1, x: 4}. Give prob of picking 1 n and 1 x. 4/55 What is prob of picking 2 w when two letters picked without replacement from tttttwttww? 1/15 Calculate prob of picking 3 e when three letters picked without replacement from {e: 5, n: 8}. 5/143 Four letters picked without replacement from {c: 1, j: 10, u: 8}. What is prob of picking 3 u and 1 j? 140/969 Two letters picked without replacement from {p: 1, b: 4, z: 7, e: 2, o: 4}. What is prob of picking 1 p and 1 z? 7/153 Three letters picked without replacement from {e: 3}. Give prob of picking 3 e. 1 Three letters picked without replacement from tjtmjtttmljmzmjtt. What is prob of picking 2 j and 1 z? 3/340 Calculate prob of picking 1 u, 1 d, and 1 m when three letters picked without replacement from sgdmmdmmmssmumdgfmmf. 9/380 What is prob of picking 1 g and 1 a when two letters picked without replacement from gvmza? 1/10 Two letters picked without replacement from kgcgk. Give prob of picking 2 g. 1/10 Calculate prob of picking 2 p when two letters picked without replacement from {g: 1, p: 4, c: 1, r: 2, m: 7, j: 2}. 3/68 What is prob of picking 1 v and 1 m when two letters picked without replacement from {q: 7, v: 3, m: 2, b: 1, e: 7}? 3/95 Two letters picked without replacement from {r: 2, k: 3}. What is prob of picking 1 k and 1 r? 3/5 What is prob of picking 1 u, 1 m, and 2 r when four letters picked witho
{ "pile_set_name": "DM Mathematics" }
= -6*n - 2. Let j(p) be the second derivative of -1/3*p**3 + 36*p + 0 - 1/2*p**2. Calculate -4*d(u) + 11*j(u). 2*u - 3 Let m = -118 + 121. Let l(k) = -2*k**2 + 3*k**2 + 97 - 6*k**2 - 99. Let b(j) = 4*j**2 + 1. Give m*b(y) + 2*l(y). 2*y**2 - 1 Let j(n) = 14*n**3 + 8*n**2 - 8*n - 12. Let s(z) = -5*z**3 - 3*z**2 + 3*z + 4. Suppose -67 = -10*b - 97. Determine b*j(k) - 8*s(k). -2*k**3 + 4 Let x(n) = 2*n**2 - n - 28. Let c(w) = -w**2 + w + 28. What is 4*c(h) + 3*x(h)? 2*h**2 + h + 28 Let y(c) = -5*c - 2. Let z be 22/22 + (-5 + 0)/(-1). Let o(w) = z*w + 3 + 5*w + 2 + 0. Determine -3*o(m) - 7*y(m). 2*m - 1 Let c be 1/((4 - 3) + -4)*6. Let w(b) = -b**2 - b + 5. Let t(r) = -r**2 + 2*r + 3. Let m be t(4). Let v(i) = i - 2. Calculate c*w(d) + m*v(d). 2*d**2 - 3*d Let j(o) = 41*o - 2. Let x(d) = 37*d - 2. Let i(u) = 6*j(u) - 7*x(u). Let y(z) = -12*z + 2. What is -4*i(q) + 5*y(q)? -8*q + 2 Let t = 12 - 11. Let z(r) = -2. Let w(d) = 1. Let n(a) = -7*w(a) - 4*z(a). Let h(s) = 2*s**2 - s - 4. Give t*h(y) + 2*n(y). 2*y**2 - y - 2 Let d(a) = 340*a**3 - 21*a**2 + 7*a - 7. Let n(r) = -338*r**3 + 18*r**2 - 6*r + 6. Determine -6*d(w) - 7*n(w). 326*w**3 Let j(n) = -2*n + 1. Suppose -24*v + 17 = -31. Let f(y) = -3*y + 4. Let g(d) = -8*d + 11. Let p(z) = 11*f(z) - 4*g(z). Calculate v*j(w) - 5*p(w). w + 2 Let d(s) = -49*s**3 + 3*s**2 + 4*s + 1. Let i(w) = 100*w**3 - 5*w**2 - 7*w - 2. What is -7*d(y) - 4*i(y)? -57*y**3 - y**2 + 1 Let c be 6/(-8 + 5) - -3. Suppose -w = -5*b, -4*w - c + 21 = 0. Let a(j) = -2*j**3 - j**2 + 1. Let d(f) = -f**3 + f + 1. What is b*d(p) - a(p)? p**3 + p**2 + p Let y(f) = f**2 - f - 1. Let c(v) = v**3 - 5*v**2 + 5*v + 7. Let s be 483/(-15) + 16/(-20). Let m = 32 + s. What is m*c(x) - 5*y(x)? -x**3 - 2 Let p(m) = 19*m + 24. Let a(v) = -22*v - 24. What is 4*a(o) + 5*p(o)? 7*o + 24 Let h(v) = 11*v**2 + 190*v + 6. Let f(w) = 5*w**2 + 95*w + 3. What is -9*f(k) + 4*h(k)? -k**2 - 95*k - 3 Suppose -6 + 10 = 2*h. Let j(r) = -h*r - 1028 + 1028. Let z(g) = -4*g - 1. Determine 5*j(x) - 2*z(x). -2*x + 2 Let a(t) = -3. Suppose 39*w - 40*w = 7. Let m(s) = 11. Let o(c) = w*a(c) - 2*m(c). Let u(l) = l + 5. What is 5*o(j) + u(j)? j Let d(k) = -7*k**3 - 8*k**2 - 8*k. Let y(z) = 5 - 5 + z**2 + z + z**3. Let q(t) = 9*t**2 + 166*t + 112. Let j be q(-18). What is j*y(o) + 5*d(o)? 5*o**3 Let i(d) = d**2 - 2*d - 3. Let t(f) = -2. Let z(g) = 1. Let v(u) = 2*t(u) + 3*z(u). Let o(y) = 1. Let x(k) = 3*o(k) + 2*v(k). Give i(q) + 3*x(q). q**2 - 2*q Let o(w) = -18*w - 13. Suppose 0 = -5*g + 2*k + 43, -29 = -3*g - 31*k + 29*k. Let x(t) = 9*t + 6. Give g*x(l) + 4*o(l). 9*l + 2 Let s(f) = 7*f**3 + 5*f**2 + 13*f. Let m(y) = -y**3 - 7*y - 122*y**2 - 2*y**3 + 64*y**2 + 55*y**2 - y**3. Determine 5*m(k) + 3*s(k). k**3 + 4*k Let g(w) = -w. Let l(h) = -5*h + 40. What is -4*g(y) + l(y)? -y + 40 Let b(i) = i + 2. Let r(v) = 2*v + 3. Let m be (9 + 77/(-7))/(0 + -1). Calculate m*r(o) - 5*b(o). -o - 4 Let z(f) = -6*f**3 - 3*f**2 - 3*f. Let o(r) = -r**2 - 7*r + 6. Let w be o(-8). Let c(x) = -5*x**3 - 2*x**2 - 2*x. Calculate w*z(g) + 3*c(g). -3*g**3 Let m = -111 - -114. Let r(i) = -9*i**3 - 2*i**2 + 2*i - 2. Let p(a) = -9*a**3 - 3*a**2 + 3*a - 3. What is m*r(y) - 2*p(y)? -9*y**3 Let u(f) = 4*f**2 + 2*f + 35. Let z(a) = -9*a**2 - 4*a - 69. Calculate 7*u(d) + 3*z(d). d**2 + 2*d + 38 Let h(l) = 8*l**3 + 5*l - 10. Let q(a) = -23*a**3 - 14*a + 31. Calculate -17*h(i) - 6*q(i). 2*i**3 - i - 16 Let d(s) = 4*s + 3. Suppose -2*b + 4 = -4*y, 1235*y = 1236*y. Let g(f) = 2 + 3 - 1 + 5*f - f**3. What is b*g(c) - 3*d(c)? -2*c**3 - 2*c - 1 Let z = 31 + -32. Let n(s) = -3*s**3 + 2*s + 2. Let l be n(z). Let h(k) = 2*k**3 + 2*k**2 - 3*k. Let y(x) = -5*x**3 - 5*x**2 + 7*x. What is l*y(u) + 7*h(u)? -u**3 - u**2 Let q(g) = -3*g**2 + 7*g - 11. Let d(r) = r**2 - 2*r + 3. Calculate -4*d(w) - q(w). -w**2 + w - 1 Let b(z) = -z**2 + z + 1. Let a(w) be the third derivative of -w**4/24 + w**3/6 - 3*w**2. Suppose -4 = 47*f - 43*f. Give f*a(l) + b(l). -l**2 + 2*l Let s(z) = -9*z - 4 - 15*z + 20*z + 0. Let u(h) = h + 1. Give -s(n) - 5*u(n). -n - 1 Let q(a) = a**2 - 2*a + 2. Suppose 0 = -3*w + 2*f + 3, 2*w - 4*f = -0*f - 6. Let j(r) = -1288*r + r**2 - 1286*r + 2573*r. Determine w*j(c) - q(c). 2*c**2 - c - 2 Let h(z) = 964*z + 482. Let u(g) = -g**2 + 2*g + 1. Calculate 2*h(s) - 964*u(s). 964*s**2 Let x(c) be the second derivative of -c**4/12 + c**3/6 - 2*c + 23. Suppose 0 = -u - y - 6, 5*y + 14 + 7 = 4*u. Let s(f) = 3*f**2 - f - 5. Give u*s(o) - x(o). -2*o**2 + 5 Let q(g) be the second derivative of -g**3/6 - 2*g. Let i(w) = -6*w + 8*w - 7*w. Give -2*i(u) + 11*q(u). -u Let f be 78/(-9) - (-2)/(-6). Let t(o) = -5*o + 2. Let k(z) be the second derivative of 11*z**3/6 - 5*z**2/2 - 512*z. Determine f*t(a) - 4*k(a). a + 2 Let u(w) = 7*w**3 - 39*w**2 - 5*w - 5. Let f(c) = c**3 - c - 1. Determine 5*f(r) - u(r). -2*r**3 + 39*r**2 Let j(y) = -11*y + 11. Let p(f) = -2*f - 1. Let w(h) = j(h) + 2*p(h). Let x(g) = -8*g + 5. Determine 6*w(a) - 11*x(a). -2*a - 1 Let g(a) = 14*a - 20. Let q(t) = 7*t - 9. Calculate 4*g(c) - 9*q(c). -7*c + 1 Let n(a) be the third derivative of -a**5/6 - 2*a**4/3 - a**3 - 52*a**2 + 2. Let v(p) = 3*p**2 + 5*p + 2. Give 5*n(x) + 16*v(x). -2*x**2 + 2 Let l(q) = q - 2. Suppose -26 = -8*t - 66. Let x(g) = 2. What is t*x(i) - 6*l(i)? -6*i + 2 Let t(q) = -14*q**2 - 10*q - 12. Let g(r) = -3*r**2 - r. Calculate -5*g(i) + t(i). i**2 - 5*i - 12 Let t(o) = 11*o**3 + 57*o**2 - 6*o - 6. Let f(b) = -31*b**3 - 171*b**2 + 17*b + 17. Give -6*f(m) - 17*t(m). -m**3 + 57*m**2 Let t(v) = -3*v. Suppose 10 = u - 4*w, -4*u + 2*w + 14 - 2 = 0. Let n be -3 + (u - 2) - -4. Let g(s) = s**3 - s. Give n*t(h) - 3*g(h). -3*h**3 Let i(d) be the third derivative of d**5/60 - d**4/12 - 4*d**3/3 - 2*d**2 - 3229*d. Let x(r) = -r - 3. Suppose 0*b + 8 = -b. Determine b*x(j) + 3*i(j). 3*j**2 + 2*j Let y(j) = 4*j - 11. Let s(b) = b**3 - 19*b**2 + b - 17. Let a be s(19). Let n(w) = a + 36*w + 39*w - 76*w. Give -11*n(t) - 2*y(t). 3*t Let t(b) = 4*b**2 - 3. Let r = 53 + -56. Let v(k) = -7*k**2 + 5. Give r*v(u) - 5*t(u). u**2 Let m(s) = 7*s**2 + 5*s - 3. Let v(r) = 11*r**2 - 6 + 2 + 1 - 186*r - 2 + 194*r. Let a(p) = -p**2 + 2*p + 3. Let i be a(-2). Calculate i*v(d) + 8*m(d). d**2 + 1 Let l = 63 + -49. Let g be 0/((-3)/(-3)) - -9. Let w = l - g. Let r(u) = u. Let v(t) = -2*t - 1. Determine w*r(x) + 2*v(x). x - 2 Let d(y) = 2*y**3 - 3*y**2 - 3*y - 4. Let q(h) = -10*h**3 + 16*h**2 + 15*h + 21. Give -11*d(b) - 2*q(b). -2*b**3 + b**2 + 3*b + 2 Let d(b) be the second derivative of -b**4/6 - 3*b**3/2 + 11*b**2/2 + 16*b. Let h = 81 - 78. Let a = 20 - 13. Let n(f) = f**2 + 4*f - 5. Give a*n(r) + h*d(r). r**2 + r - 2 Let h be (-9 - (-2)/(-2)) + 1. Let u(j) = -2*j**2 - 3*j + 2. Let p be 3*-1*(-15 + (-564)/(-36)). Let t(x) = -x**3 + 9*x**2 + 13*x - 9. What is h*u(b) + p*t(b)? 2*b**3 + b Let y(j) = 219*j + 27. Let l(u) = -110*u - 12. What is -9*l(k) - 4*y(k)? 114*k Let u(q) = 16*q - 3. Let r be 3/(-6) - (-11)/110*-25. Let v(f) = 17*f - 4. Calculate r*v(d) + 4*u(d). 13*d Let y(u) = -4*u**2. Let g(l) = 7*l**2. Let z be 6/(-4) - ((-87)/(-6) - 11). Give z*y(a) - 3*g(a). -a**2 Let p(v) = -4*v**3 + 11*v**2 - 10*v + 7. Let m(t) = -17 + 5*t - 5*t**2 + 12 + 2*t**3 + 2. Give 7*m(l) + 3*p(l). 2*l**3 - 2*l**2 + 5*l Let a(s) = 10 + 16*s**3 - 2*s**2 - 15*s**3 + 3 - 15. Let o(l) = -8*l**3 + 17*l**2 + 17. Let j be 9/(-2)*4/(-3). Determine j*o(w) + 51*a(w). 3*w**3 Let u(o) = 2*o - 1. Let w(i) = 9*i - 41. Determine -2*u(j) + w(j). 5*j - 39 Let g = 64 + -54. Let d = g + -7. Let z(c) = -3*c + 1. Let a(w) = 6*w - 2. What is d*a(n) + 7*z(n)? -3*n + 1 Let t(j) = -9*j - 1 + 18*j - 8*j. Let q(y) = -y**2 + y + 7. Determine -q(m) + t(m). m**2 - 8 Let o(j) = j**2 + 2. Suppose -18 = 7*x - 10*x. Let c be 34/51 - (-50)/x. Let f = -2 + 4. Let l(d) = -4*d**2 - 9. What is c*o(p) + f*l(p)? p**2 Let w(c) = -2*c**2 + 3*c - 3. Suppose -133*u = -134*u - 3. Let k(v) = -7*v**2 + 8*v - 8. What is u*k(s) + 8*w(s)? 5*s**2 Suppose -2*k - 7 = -15. Let x(r) = -3*r**2 - 4*r. Let j(v) = v. Let f = -12 + 13. What is f*x(u) + k*j(u)? -3*u**2 Let z(y) = 6*y**2 + 2*y + 21. Let t(a) = -3*a**2 - a - 11. Determine 5*t(n) + 2*z(n). -3*n**2 - n - 13 Let m(x) = 5*x**3 + 3*x**2 - 2*x + 4. Let n(g) = -9*g**3 - 5*g**2 + 4*g -
{ "pile_set_name": "DM Mathematics" }
4, -7849416, -10465888, -13082360? -2616472*h What is the b'th term of -33665, -67272, -100881, -134492, -168105? -b**2 - 33604*b - 60 What is the x'th term of 818, 2913, 6398, 11267, 17514? -x**3 + 701*x**2 - x + 119 What is the j'th term of -78500, -156991, -235480, -313967? j**2 - 78494*j - 7 What is the z'th term of 2130, 2147, 2166, 2187, 2210, 2235? z**2 + 14*z + 2115 What is the u'th term of -134, -1018, -3422, -8108, -15838, -27374, -43478? -127*u**3 + 2*u**2 - u - 8 What is the q'th term of -819760, -819758, -819756, -819754? 2*q - 819762 What is the y'th term of 9671, 9752, 9843, 9950, 10079, 10236? y**3 - y**2 + 77*y + 9594 What is the l'th term of 10823, 43296, 97419, 173192, 270615, 389688, 530411? 10825*l**2 - 2*l What is the u'th term of -722420, -722414, -722406, -722396, -722384, -722370, -722354? u**2 + 3*u - 722424 What is the k'th term of -641, -708, -775? -67*k - 574 What is the o'th term of -280413, -280415, -280417, -280419, -280421, -280423? -2*o - 280411 What is the d'th term of 1631, 3259, 4895, 6545, 8215, 9911, 11639? d**3 - 2*d**2 + 1627*d + 5 What is the i'th term of -50363, -50368, -50373, -50378, -50383, -50388? -5*i - 50358 What is the z'th term of -2569, -5181, -7835, -10531? -21*z**2 - 2549*z + 1 What is the a'th term of -1037, -745, -253, 445, 1355, 2483, 3835? a**3 + 94*a**2 + 3*a - 1135 What is the l'th term of -76, -631, -2158, -5149, -10096, -17491? -82*l**3 + 6*l**2 + l - 1 What is the a'th term of 1107042, 1107047, 1107054, 1107063, 1107074, 1107087? a**2 + 2*a + 1107039 What is the y'th term of 87830, 175675, 263508, 351323, 439114, 526875, 614600? -y**3 + 87852*y - 21 What is the w'th term of -77446, -77356, -77266, -77176, -77086? 90*w - 77536 What is the t'th term of -66, -134, -248, -408, -614? -23*t**2 + t - 44 What is the b'th term of -55, -16, 77, 248, 521? 4*b**3 + 3*b**2 + 2*b - 64 What is the z'th term of -194, -105, 50, 277, 582, 971, 1450, 2025? z**3 + 27*z**2 + z - 223 What is the h'th term of -525233, -525224, -525205, -525170, -525113, -525028, -524909? h**3 - h**2 + 5*h - 525238 What is the x'th term of 208, 449, 694, 943, 1196? 2*x**2 + 235*x - 29 What is the k'th term of -106, -433, -962, -1681, -2578, -3641, -4858, -6217? 2*k**3 - 113*k**2 - 2*k + 7 What is the f'th term of 250, 334, 420, 508, 598? f**2 + 81*f + 168 What is the c'th term of -207239, -414478, -621717? -207239*c What is the p'th term of -19, -208, -401, -598? -2*p**2 - 183*p + 166 What is the p'th term of 547, 545, 543, 541? -2*p + 549 What is the c'th term of 503998, 1007989, 1511980? 503991*c + 7 What is the n'th term of -388, -384, -368, -340, -300, -248, -184? 6*n**2 - 14*n - 380 What is the i'th term of -853, -2089, -3329, -4573? -2*i**2 - 1230*i + 379 What is the s'th term of 816, 3308, 7482, 13356, 20948? 3*s**3 + 823*s**2 + 2*s - 12 What is the s'th term of 365, 1432, 3207, 5684, 8857, 12720? -s**3 + 360*s**2 - 6*s + 12 What is the x'th term of 115, 232, 353, 472, 583, 680, 757? -x**3 + 8*x**2 + 100*x + 8 What is the o'th term of -80945, -161888, -242843, -323816, -404813, -485840, -566903? -o**3 - 80936*o - 8 What is the f'th term of -26799, -26794, -26789, -26784? 5*f - 26804 What is the b'th term of -258, -270, -294, -330, -378, -438, -510? -6*b**2 + 6*b - 258 What is the z'th term of -52, -59, -76, -103, -140? -5*z**2 + 8*z - 55 What is the c'th term of 328, 1043, 2960, 6679, 12800, 21923, 34648? 100*c**3 + c**2 + 12*c + 215 What is the p'th term of 1194, 1935, 2676, 3417, 4158, 4899? 741*p + 453 What is the h'th term of -535, -628, -897, -1432, -2323, -3660, -5533? -15*h**3 + 2*h**2 + 6*h - 528 What is the w'th term of -689, -2412, -5275, -9272, -14397, -20644, -28007? w**3 - 576*w**2 - 2*w - 112 What is the y'th term of 6990, 13982, 20974, 27966? 6992*y - 2 What is the a'th term of 98, 121, 160, 221, 310, 433, 596, 805? a**3 + 2*a**2 + 10*a + 85 What is the y'th term of 4238, 8469, 12710, 16967, 21246, 25553, 29894, 34275? y**3 - y**2 + 4227*y + 11 What is the v'th term of 28, 45, 56, 73, 108, 173, 280, 441? 2*v**3 - 15*v**2 + 48*v - 7 What is the f'th term of -696, -751, -862, -1041, -1300, -1651? -2*f**3 - 16*f**2 + 7*f - 685 What is the k'th term of 71, 257, 443, 629, 815, 1001? 186*k - 115 What is the l'th term of -6, 28, 86, 168? 12*l**2 - 2*l - 16 What is the t'th term of 751, 1379, 2007, 2635, 3263, 3891? 628*t + 123 What is the z'th term of 4357, 4386, 4415, 4444? 29*z + 4328 What is the c'th term of 237134, 474271, 711408, 948545? 237137*c - 3 What is the r'th term of 984, 1312, 1850, 2592, 3532? -r**3 + 111*r**2 + 2*r + 872 What is the y'th term of 324940, 324935, 324924, 324907, 324884, 324855? -3*y**2 + 4*y + 324939 What is the o'th term of 1690090, 1690086, 1690082? -4*o + 1690094 What is the o'th term of -120, -208, -268, -300, -304, -280? 14*o**2 - 130*o - 4 What is the x'th term of -10657, -21153, -31651, -42151, -52653, -63157, -73663? -x**2 - 10493*x - 163 What is the o'th term of -13149, -52634, -118443, -210576, -329033, -473814? -13162*o**2 + o + 12 What is the m'th term of -56065, -56069, -56073, -56077, -56081, -56085? -4*m - 56061 What is the n'th term of -711943, -711947, -711951, -711955, -711959? -4*n - 711939 What is the a'th term of -295194, -295188, -295180, -295170, -295158, -295144? a**2 + 3*a - 295198 What is the k'th term of -5221, -5234, -5247, -5260? -13*k - 5208 What is the z'th term of 2261, 2145, 2029, 1913? -116*z + 2377 What is the v'th term of 3898, 3827, 3754, 3679, 3602? -v**2 - 68*v + 3967 What is the t'th term of -858, -1011, -1162, -1311? t**2 - 156*t - 703 What is the s'th term of 5667, 11330, 16993? 5663*s + 4 What is the c'th term of 39718, 39723, 39742, 39781, 39846, 39943? c**3 + c**2 - 5*c + 39721 What is the g'th term of 1217, 1618, 2019, 2420? 401*g + 816 What is the b'th term of -900, -2017, -3348, -4899, -6676, -8685, -10932, -13423? -b**3 - 101*b**2 - 807*b + 9 What is the d'th term of 1876, 3749, 5622, 7495? 1873*d + 3 What is the u'th term of 88, 315, 914, 2065, 3948, 6743, 10630, 15789? 30*u**3 + 6*u**2 - u + 53 What is the f'th term of -67800, -67815, -67830, -67845, -67860? -15*f - 67785 What is the l'th term of 39210, 39203, 39192, 39177, 39158? -2*l**2 - l + 39213 What is the w'th term of 109, 39, -79, -245, -459? -24*w**2 + 2*w + 131 What is the r'th term of 56538, 56598, 56658, 56718? 60*r + 56478 What is the a'th term of -35074, -70159, -105244? -35085*a + 11 What is the x'th term of 435707, 435714, 435721, 435728, 435735? 7*x + 435700 What is the m'th term of -26282, -105140, -236576, -420596, -657206? -m**3 - 26283*m**2 - 2*m + 4 What is the c'th term of -8509, -8515, -8521, -8527? -6*c - 8503 What is the c'th term of 66, 108, 122, 108, 66, -4, -102? -14*c**2 + 84*c - 4 What is the i'th term of 2, -34, -112, -232, -394, -598, -844? -21*i**2 + 27*i - 4 What is the z'th term of -42, -461, -1590, -3783, -7394, -12777, -20286? -59*z**3 - z**2 - 3*z + 21 What is the h'th term of 434, 3562, 12092, 28724, 56158? 450*h**3 + h**2 - 25*h + 8 What is the t'th term of -426, -692, -1404, -2784, -5054, -8436? -37*t**3 - t**2 - 4*t - 384 What is the y'th term of -1266, -1582, -1900, -2220, -2542, -2866? -y**2 - 313*y - 952 What is the s'th term of 526, -561, -2382, -4943, -8250, -12309, -17126, -22707? -s**3 - 361*s**2 + 3*s + 885 What is the h'th term of -2129, -2105, -2065, -2009, -1937? 8*h**2 - 2137 What is the j'th term of -19351, -77396, -174137, -309574, -483707? -19348*j**2 - j - 2 What is the v'th term of 102154, 204311, 306454, 408577, 510674, 612739, 714766, 816749? -v**3 - v**2 + 102167*v - 11 What is the b'th term of 116, 133, 158, 191, 232? 4*b**2 + 5*b + 107 What is the f'th term of -176169, -352331, -528491, -704649? f**2 - 176165*f - 5 What is the d'th term of -1426, -883, 32, 1325, 3002, 5069, 7532? d**3 + 180*d**2 - 4*d - 1603 What is the x'th term of -4092, -16622, -37506, -66744? -4177*x**2 + x + 84 What is the j'th term of 156, 118, 74, 18, -56, -154? -j**3 + 3*j**2 - 40*j + 194 What is the s'th term of -433, -1842, -4187, -7468, -11685? -468*s**2 - 5*s + 40 What is the m'th term of 134, 45, -72, -229, -438, -711? -2*m**3 - 2*m**2 - 69*m + 207 What is the a'th term of 190, 361, 828, 1741, 3250, 5505, 8656? 25*a**3 - 2*a**2
{ "pile_set_name": "DM Mathematics" }
6, -3*n - 2*q + 3*q + 7 = 0. Put -2, n, 7 in descending order. 7, n, -2 Let j = -2 + 5. Let k(h) = -h + 4. Let u be k(j). Suppose -6 = 14*f - 12*f. Sort 2, f, u. f, u, 2 Let u = -139 - -79. Let b = 123/2 + u. Sort 1, -11, b in descending order. b, 1, -11 Let l(p) = p**3 - 2*p**2 - 2*p. Let b be l(3). Suppose z = v - 5, -v + z = 2*v - 21. Suppose v*c + 4 = 10*c. Put c, 1, b in descending order. b, c, 1 Suppose 207 - 219 = -3*j, 5*j = -5*p + 25. Suppose 0 = -5*u + u + 4*f - 24, -2*u + 5*f = 24. Sort u, p, 0, -3 in decreasing order. p, 0, u, -3 Suppose 0 = y + 5*d - 4 + 16, 4*y + 4*d = -16. Put -1, y, -8, 5 in increasing order. -8, y, -1, 5 Suppose 29*b - 24*b = 25. Sort 2, -8, b in descending order. b, 2, -8 Suppose 3*r = 9, 66 = 180*n - 177*n + 4*r. Put n, 5, -3 in descending order. n, 5, -3 Let q(p) = 2*p**2 - 7*p + 5. Let d be q(5). Let a = d - 18. Put -4, 4, -2, a in increasing order. -4, -2, a, 4 Let j = 2/23 + 61/92. Let z = 0.26 - 0.36. Sort j, 2, 0.5, z in increasing order. z, 0.5, j, 2 Let t = -1.259 - -6.267. Let g = 0.008 - t. Sort 6, -2/9, g in ascending order. g, -2/9, 6 Let l = -9 - -8. Let g be 103/(-10) - (l + -1). Let p = g - -17/2. Sort p, -5, -3 in descending order. p, -3, -5 Let s(x) = -x**2 - 4*x - 1. Let o be s(-3). Let q = 156 - 151. Suppose 0 + 4 = -4*g. Put g, q, o in descending order. q, o, g Let u = -320 - -333. Let k = 8 - 7. Sort -0.3, k, u in descending order. u, k, -0.3 Suppose c - 21 = -4*c + p, -c = 4*p. Let q = c + -7. Let y(i) = -55*i**2 - 386*i - 11. Let t be y(-7). Sort -5, t, q. -5, t, q Let h(r) = 6*r + 54. Let t be h(-8). Suppose t*s - 8 = 4*s - 2*f, 4*s = 3*f - 5. Sort s, 4, -5. -5, s, 4 Suppose 5*f + 3*n + 174 = 2*n, -5*n - 135 = 4*f. Let l = f + 31. Sort -3, l, 15. l, -3, 15 Let o = -3 + 3. Let a = -2.7 - 2.3. Let w be (-1)/((-12)/(-32)) + 2/3. Sort o, a, w in decreasing order. o, w, a Let l = 764 - 763. Sort -1, -12, l, 15 in descending order. 15, l, -1, -12 Let w = -2226.7 + 2227. Sort 2.26, -2/9, w in increasing order. -2/9, w, 2.26 Let b be (-1 - 5)/(((-54)/(-4))/9). Suppose -5*l - 22 = 8. Put -3, l, b in increasing order. l, b, -3 Suppose 22 = -10*r - 8. Suppose -5*d + 14 = -4*u, 0 = 6*u - u + 2*d + 1. Sort -2, r, -6, u in descending order. u, -2, r, -6 Let w be (-6)/9 + (2 - (-28)/6). Suppose -t + 8 - w = 0. Let y = -3 - -4. Sort t, -2, y in decreasing order. t, y, -2 Let l(h) = h**2 + 6. Let b be l(5). Suppose -7*c + 4*c = -0*c. Put -3, c, b in ascending order. -3, c, b Let z(t) = -3*t - 42. Let w be z(-14). Suppose u + w + 4 = 0. Put u, 6, 4 in decreasing order. 6, 4, u Let b be (3 - 4)/1*(-5)/(-1). Sort b, 1, 6, 2 in descending order. 6, 2, 1, b Let j be 5 + (1 - 2)*2. Suppose 2*u + 10 = -143*b + 148*b, -4 = -2*b + 4*u. Put -10, j, b in decreasing order. j, b, -10 Let v = 167/6 - 163/6. Sort 1/7, -5, v in decreasing order. v, 1/7, -5 Let x = 3 + -2. Put -4, x, -3/8 in descending order. x, -3/8, -4 Let k be ((-4)/10)/(5 - (-273)/(-35)). Sort 3, 0.06, k. 0.06, k, 3 Let b = 206.1 - 206. Sort 1/110, -2, b in decreasing order. b, 1/110, -2 Suppose -8 = 2*r - 4*t, 2*r = -4*t + t - 1. Let y = 18 - 17. Sort y, -1/5, r in descending order. y, -1/5, r Let p = 25/202 + -13921/115746. Let g = p - -569/1146. Let n = 0.05 - 3.05. Put g, -4/3, n in descending order. g, -4/3, n Let o = -1.778 + 1.863. Put -6, 3/2, o in decreasing order. 3/2, o, -6 Let k = -491.85 - -493. Put k, -0.5, 2/3 in descending order. k, 2/3, -0.5 Let z be (-2)/(-6) + (-56)/(-21). Suppose 3*r - 9 = z*v, -5*v - 6 = 3*r - 3*v. Put 2, r, 0.03 in ascending order. r, 0.03, 2 Let d = 519 - 572. Put 5, d, 4, -3 in descending order. 5, 4, -3, d Let z = 284 - 284.2. Put 4/27, z, 5 in increasing order. z, 4/27, 5 Let u be (-40)/10 + (-18)/(-2). Let f be (-9 - 104/(-12))/(2/6). Put f, -8, u in increasing order. -8, f, u Let f = -147 + 443/3. Put f, -9, -1/3 in increasing order. -9, -1/3, f Let d be -1*(-8 - -8)/((-4)/(-2)). Suppose -o + 24 = 4*m - 0*m, 5*m = 5*o - 20. Let v = o + -13. Sort d, -2, v. v, -2, d Let u = -10 - -9.88. Let w = u + -6.88. Let t = -2 - w. Sort t, -2, -0.1. -2, -0.1, t Let v be -12*(-9 + -1)/(-30). Put -110, 5, 4, v in ascending order. -110, v, 4, 5 Suppose -19 = v - 0*v - 3*w, 0 = w - 5. Suppose 2 = 3*q - 5*x - 9, 0 = -x - 4. Put -2, v, q in increasing order. v, q, -2 Suppose 50 = -12*r + 14. Let i = -3 - r. Let m = -4 + 8. Sort i, m, -3. -3, i, m Let l = 421/18 - 45/2. Sort 1/3, l, 2 in ascending order. 1/3, l, 2 Suppose -125*p + 126*p = -3. Sort 5, 3, p in increasing order. p, 3, 5 Suppose 3*g - 56 = -g. Let t = g + -17. Sort -1, -5, t, 8 in increasing order. -5, t, -1, 8 Suppose -4*y + 18 = -6. Let b be 2*(-1)/y - (-84)/(-18). Sort -3, b, 12 in decreasing order. 12, -3, b Let t = 585 + -584. Put -1, t, -7, -3 in ascending order. -7, -3, -1, t Suppose 4*a - 28 = 4*w, -5*a + 0*a - 4*w - 1 = 0. Suppose 0 = -2*b - 5 + a. Let q = 4 - 3. Sort b, q, 3. b, q, 3 Let k = 14.4 - -12.5. Let n = -27 + k. Sort -4/9, 0.3, n, 0.4 in descending order. 0.4, 0.3, n, -4/9 Let d(a) = a**2 + 5*a + 4. Let f be d(-5). Suppose -f*s - 5 = -17. Sort s, 0, -2 in decreasing order. s, 0, -2 Let v = 29.83 - 32.83. Suppose 4*g - 2*g - 38 = 2*o, 52 = 2*g + 5*o. Sort g, v, -1/5 in ascending order. v, -1/5, g Suppose -18*w = 27*w - 90. Sort 4, w, 9, 5 in ascending order. w, 4, 5, 9 Let l = 65 - -28. Let i = -88 + l. Sort 8, -3, i in decreasing order. 8, i, -3 Let f = 1830 - 1827. Sort f, -6/5, 4/3, -3/7 in ascending order. -6/5, -3/7, 4/3, f Let g(l) = 5*l - 36. Let i be g(7). Let j = -20 - -42. Put -2, i, j in increasing order. -2, i, j Let o = -22 + 24. Let v(r) = -r + 5. Let x be v(7). Let m(q) = -q**2 - 6*q + 3. Let i be m(-6). Put x, o, i in decreasing order. i, o, x Suppose -45*p - 7 = -38*p. Sort -5, -15, p. -15, -5, p Suppose -5*y - 3 = -8. Suppose 9 + 11 = -4*o. Sort o, y, 2, -4. o, -4, y, 2 Suppose 3*y + 34 = 16. Sort y, 4, -12. -12, y, 4 Suppose -23*t - 272 = 45*t. Sort 4, -78, 3, t in descending order. 4, 3, t, -78 Let t(j) = 12*j - 12. Let o be t(3). Let h = o + -29. Sort h, 1, -3 in decreasing order. 1, -3, h Let t = -9 + 5. Let n be ((-12)/(-3))/(1*2). Suppose 6*b - n*b = -4. Sort b, 4, t in decreasing order. 4, b, t Let b be 0 - (-2)/(1 + -3). Let m = 487 - 495. Put b, m, -5 in decreasing order. b, -5, m Suppose 11*q - 19 = 91. Sort -17, q, -1 in increasing order. -17, -1, q Suppose 0*q + 4 = 2*q. Let l be (18/4 + -2)/(2/4). Suppose -32 = -6*j + 3*j + 4*o, l*o + 17 = -2*j. Put 3, q, j in descending order. j, 3, q Let l(t) = -5*t + 5*t + 6 + 2*t. Let j be l(6). Sort 5, 0, j in decreasing order. j, 5, 0 Let y = -41 - -74. Let w = y - 164/5. Let l = 0 - 5. Sort 1/3, l, w in decreasing order. 1/3, w, l Suppose -27*c = -8*c + 38. Suppose 2*g = -4*u + 4 + 14, 5*g - 19 = 3*u. Suppose 4 = -4*a - 0*a. Put a, c, g in descending order. g, a, c Let r be ((-2)/8)/(9/(-8)). Suppose 8*a - 55 = 1. Suppose -a*z + 15 = 15. Put r, z, 1 in ascending order. z, r, 1 Let p = 0.705 + -0.405. Sort p, -0.1, -1, -1/4 in increasing order. -1, -1/4, -0.1, p Suppose -z - 4*u + 72 = -1, -5*u = z - 72. Let c = -74 + z. Sort -0.3, -11, c in descending order. c, -0.3, -11 Suppose -5*y - 11 = 2*c, 2*c - 6 - 7 = 3*y. Let i be 6*(4 - (-56)/(-12)). Put -12, c, i in ascending order. -12, i, c Let k = -6 - -10. Suppose 5*j + 2 = z + k, 0 = -2*j + 2. Suppose 2*g + 0 = p + 1, -25 = 5*p. Put 1, g, z in descending order. z, 1, g Let y = 129 + -129.097. Let h = y - -0.597. Sort h, -3, 3, 0.4 in decreasing order. 3, h, 0.4, -3 Let p be 130/39 - 4/(-6). Suppose -p*j + 2 + 14 = 0. Let v = 4 + 1. Sort -2, v, j in descending order. v, j, -2 Let q be ((-402)/(-24))/(2/(-8)). Let b = q + 62. Put -20, b, 1, 2 in decreasing order. 2, 1, b, -20 Let n(z) = z - 2. Let v be n(1). Let b be (-7 - -4)*1/v. Put 6, b, 2 in descending order. 6, b, 2 Let q be ((-957)/(-15))/(-11) - -6. Sort q, 1/6, 24 in increasing order. 1/6, q, 24 Let q = 47/378 + 1/54. Let n = -6.5 - -4.2. Let j = n - 3.7. Put -4, j, q in decreasing order. q, -4, j Let z be 46/(-16) - ((-891)/(-88) + -10). Sort 1/6, -3.6, z, 3 in decreasing order. 3, 1/6, z, -3.6 Let z = -765/8 - -96. Put -5, 5, -37, z in descending order. 5, z, -5, -37 Let q be -6*(-2 - (-6)/4). Suppose 4*d + 6*t = 4*t - 42, -4*d - 7 = -3*t. Put -5, 0, q, d i
{ "pile_set_name": "DM Mathematics" }
erivative of -2*w**3/3 - 14*w**2 + 12*w + 2. Is 2 a factor of h(-19)? True Let r = 341 + -285. Let y = r - -80. Is 6 a factor of y? False Suppose -3*q - 5*o = -24250, 3*o = 4*q + 5*o - 32324. Is 16 a factor of q? True Let g be 26 - (8 - 7)*(2 - 3). Suppose -g*j - 3650 = -32*j. Is j a multiple of 51? False Does 7 divide ((-24)/18 - -1)/(7/(-528759))? True Let k = 34 + -32. Suppose -235 = -4*t - 5*a + 160, -3*t + 302 = -k*a. Suppose 0 = -12*w + 2152 - t. Is 9 a factor of w? True Suppose 5*q - x = -409, -q = 4*x + 65 - 0. Let j = q - -172. Is 20 a factor of j? False Suppose -11*d = 41 + 14. Let a be (-12 - d)*-4*3/2. Is 60 a factor of 2/(-7) - (-4)/a*1032? False Is 70 a factor of 42/9*(-319 - -19)*(-18)/5? True Let v = -60 - -58. Is 128 + (v - 1)/(3/(-3)) a multiple of 7? False Let m(f) = -f**3 + 5*f**2 + 18*f - 24. Let v be m(7). Suppose 13*o - 1105 = -v*o. Is o a multiple of 3? False Is 13 a factor of (252/21)/12 + 9223 + 1? False Is 11 + 13797 + (-304)/(-19) a multiple of 12? True Let h be 785/15*21 + 7. Let k = h - 612. Does 26 divide k? True Let b(r) = -11*r - 4. Let t be b(-1). Suppose -4 + t = -3*j. Is (-50)/(-300) - (j + (-305)/6) a multiple of 13? True Let u be (153/45 - 1)/((-4)/(-2450)). Suppose -z - u = -6*z. Is z a multiple of 42? True Suppose 837 = -5*s - 3*a, 3*s - 31 = 4*a - 539. Suppose 0 = 3*m + 218 + 76. Let k = m - s. Is k a multiple of 10? True Let d(y) = 2*y**2 + 38*y - 81. Let b be d(-21). Let x = -110 - -185. Suppose b*i - x = -5*q, -i - 2*q = q - 25. Does 5 divide i? True Suppose 34*j = -j + 77805. Suppose -217*l - j = -226*l. Is l a multiple of 97? False Let s(w) = -2*w**3 + 25*w**2 + 22*w + 52. Let o be s(11). Let v = -465 + o. Is v a multiple of 6? True Suppose -g - t = 557 - 1460, 5*t + 2749 = 3*g. Let w = g - 532. Is 11 a factor of w? False Let d = -433 - -543. Let u be (-8 - -2)/(2/(-18)). Let k = d - u. Is 14 a factor of k? True Let b(s) = -177*s + 2951. Does 3 divide b(12)? False Suppose 62 = -4*r - 6. Let u = r - -19. Suppose 4*h - 11 = -2*m - h, 0 = m + u*h - 8. Is m a multiple of 5? False Suppose 733*h = 735*h + 4. Is 11 a factor of h/(-19) - 2715/(-19)? True Let b(h) = 37*h**3 - 15*h**2 + 138*h - 22. Is b(7) a multiple of 29? False Let c = -100 + 51. Let k = 317 - c. Is k a multiple of 48? False Let j be 2 + -2 + -2 - -9. Let w(n) = -86*n - 418. Let y be w(-5). Let s = y - j. Does 2 divide s? False Is 10 a factor of (-633)/(5*(-36)/5520)? False Let i be 4 + 1 + -2 + 23. Suppose i = l - r, -32*r = -3*l - 28*r + 75. Does 8 divide l? False Let s(p) = 0*p**2 - 3 + 99*p - 13*p + 22*p**2 - 36*p**2. Is s(4) a multiple of 8? False Let y(k) = 1429*k + 966. Is y(16) a multiple of 18? False Suppose 5*v + n - 6*n - 10 = 0, 0 = -2*v + 4*n + 4. Suppose f = -3*g - v, -4*f - g - 3*g - 8 = 0. Is (1 + 2 + f)*27 a multiple of 3? True Let b(j) = 6*j + 119. Let i(l) = -3*l - 59. Let w(r) = 3*b(r) + 5*i(r). Let m be w(-19). Suppose 0 = -m*n - 20, 2*k - 2*n = -38 + 198. Is k a multiple of 5? False Suppose 10 = -2*r + 2*x + 46, 50 = 3*r - 4*x. Suppose -4*t + 6 - 26 = -p, -4*t = 3*p + 4. Does 14 divide ((-9888)/22)/(-3) + p/r? False Does 49 divide (702 - 4)/(104/260)? False Let w(k) = -47*k + 43. Let d be w(-24). Suppose 5*z = 4*m - 917, 44*m = 49*m + 2*z - d. Is 17 a factor of m? False Let p(d) = 3*d - 55. Let t be p(0). Let a be 11/3 + 0 + t/(-165). Suppose 3*j + a*y - 32 = 0, 39 = 4*j - 3*y + 13. Is 4 a factor of j? True Let s = -68 - -76. Let c(b) = b**3 - 6*b**2 - 16*b + 3. Let r be c(s). Suppose 0 = 11*q - r*q - 864. Is q a multiple of 36? True Let y(g) = 8378*g**2 - 104*g + 4. Is y(2) a multiple of 18? False Let k = -33439 - -34242. Does 47 divide k? False Suppose 4*q + 2*k - 6 = 10, 5*q - 27 = k. Suppose q*d - 2025 = 5*b, -2*b - 1070 = -5*d + 967. Let j = d + -185. Is j a multiple of 8? True Let r(u) = 21*u**2. Let f be r(2). Let p be f/(-8) - (-18)/12. Let q(l) = -10*l + 15. Is q(p) a multiple of 10? False Let c = 182 + -209. Let n = c + 147. Does 24 divide n? True Let t(h) = -h**3 - 15*h**2 - 18*h + 43. Let o be t(-13). Is 8 a factor of (-10)/((-10)/3) - o? True Suppose 166*q + 5*c - 243365 = 161*q, c + 243359 = 5*q. Does 32 divide q? True Suppose -3*m = -x - 26195, x - 34915 = 40*m - 44*m. Is 202 a factor of m? False Let x(y) = 2*y**3 + 2*y**2 - 4*y + 3. Let t be x(2). Suppose t + 14 = 11*a. Suppose -o + a*z = -15, 3 = -3*z - 0. Is o a multiple of 3? True Suppose x + 3*u + 2316 - 9975 = 0, -4*u = 2*x - 15332. Does 20 divide x? True Suppose 2914*x = 2865*x + 373527. Is 21 a factor of x? True Suppose 0 = 3*h - 5*l - 109 + 20, 3*l + 23 = h. Suppose -i + 3*i = 116. Let y = i - h. Is 20 a factor of y? True Let o(z) be the first derivative of -15*z**2/2 + 13*z - 82. Does 7 divide o(-1)? True Let z(w) = -96*w + 3806. Does 173 divide z(0)? True Suppose -2*z - 4*p + 2618 = 0, -5*z - 2*p + 4184 = -2361. Does 11 divide z? True Let f(b) = -13*b + 39. Let l be f(3). Suppose 4*r - 19 = -l*y - 3*y, -4*y - 4*r + 24 = 0. Suppose -3*o + 786 = 3*d, 5*o + 3*d - 1324 = y*d. Does 11 divide o? True Suppose -3*c + 5*c = j + 1, -2*j - 2*c = -22. Suppose 5*g - 5399 = 3*u, -3*g - 3*u = -2*u - 3231. Suppose -j*t - 7*t + g = 0. Is t a multiple of 23? False Let l be 6 - (45/9 - 1). Is 27 a factor of 68926/44 + l/(-4)? True Let d(m) = -316*m - 234. Let o be d(-2). Suppose 0 = 5*g - 5 - 5. Suppose 3*k - 3*l = g*l + o, 4*k - 5*l = 524. Does 23 divide k? False Let i = 303 - 309. Does 4 divide -5*i/10 + 268? False Let f(g) = -5*g**2 - 9*g + 2. Let k(b) = 14*b**2 + 26*b - 5. Let r(i) = 11*f(i) + 4*k(i). Let m be r(-7). Let z = 57 + m. Does 16 divide z? False Let m = 410 + -388. Is 25 a factor of 3 + m/(-6) - (-600)/9? False Let u(s) = s**3 + 6*s**2 + 2*s - 2. Let y be ((-3)/(-2))/(12/(-16)). Let z be u(y). Is 20 a factor of 2 + (-788)/(-5) - (-4)/z? True Suppose 0 = 8679*s - 8670*s - 106749. Is s a multiple of 194? False Suppose 12609 = 15*c - 55956. Is 52 a factor of c? False Suppose s + 15 = 3. Let f be (-1)/s*4*1137. Suppose 5*u - 181 - f = 0. Is 14 a factor of u? True Suppose 960*c + 5020 = 962*c. Does 80 divide c? False Let o = -37829 - -46582. Is 2 a factor of o? False Let k(f) = -f**3 - 3*f**2 - 3*f - 6. Let b be k(-3). Let n be 2/(-2) + (b + -2)/1. Let s = n - -40. Is 9 a factor of s? False Suppose d + 2670 = 6*d. Suppose -4*p - d = -4*g - 146, 2*p = g - 100. Suppose f - 3*h = 81, g = 3*f + 5*h - 107. Is f a multiple of 10? False Let t be 180/40*2/3. Suppose 3*q - 2136 = -3*w, 2*w + t*q - 1602 + 182 = 0. Suppose 5*j = 3*p - 1090, 2*p + 6*j - 4*j - w = 0. Is p a multiple of 20? True Let r be (14/(-8))/(6/(-72)). Suppose r*x = 19*x + 112. Suppose o + 68 = v, 3*v - 4*v = 3*o - x. Is v a multiple of 13? True Suppose -956040 = -156*d + 36*d. Does 127 divide d? False Suppose 5*k - 3*k - 6 = 0. Suppose 0 = -4*s - 5*f + 31, 3*s - 3*f = -0*f + k. Let d = s - -46. Does 10 divide d? True Suppose -3*b + 3633 = 3*s, 0 = -99*b + 96*b - s + 3631. Is 24 a factor of b? False Suppose 3*a = 3*q - 29955, -70*a = 2*q - 66*a - 19970. Is q a multiple of 11? False Let n(o) = -9*o**2 + 5. Let x be n(5). Suppose -3*z = -8*z - 680. Let d = z - x. Is d a multiple of 14? True Suppose 7628 = 4*n - 4*x - 11128, 14055 = 3*n + 3*x. Is n a multiple of 43? True Let k(z) = -3*z**2 + 4*z - 9. Let t be k(5). Let y = t - -135. Suppose -3*h + 82 + y = 0. Is 12 a factor of h? False Let p be (-7)/((-49)/(-18)) - 3/7. Let j be p + 7 + -3 + 2. Suppose -x - 69 = -v, j*v - 4*x - 68 = 135. Is 12 a factor of v? False Let q = -5618 + 12512. Is q a multiple of 13? False Let n(c) be the second derivative of -c**3/2 - 26*c**2 - 52*c. Does 4 divide n(-20)? True Let u be (-6630)/(-120)*(-2 + 6). Let f be 272/(-2) + -4 + 6. Let b = u + f. Is b a multiple of 12? False Let q(w) = 86*w**3 + w**2 + 33*w - 226. Is q(5) a multiple of 23? False Let q(w) = 1150*w - 7152. Does 54 divide q(15)? True Let a(f) be the first derivative of 2*f**2 + 26*f - 13. Let u be a(-5). Is (2/((-4)/u))/(3/(-144)) a multiple of 36? True Let o = -7 + -5. Let m be (-28 + 2)/((15/o)/5). Let i = 19 + m. Does 24 divide i? False Suppose b + 22 + 14 = 0. Let j = b + 299. Does 13 divide j? False Suppose 0*o + 22 = -2*o + 4*m, -3*o = 3*m - 3. Let k be ((-1407)/(-14))/(o/(-8)). Suppose 2*j - k = -0*j. Is j a multiple of 45? False Suppose
{ "pile_set_name": "DM Mathematics" }
and j have the same value? True Suppose 7*l = 5*l - 2. Let q(f) = f + 1. Let j be q(3). Suppose 2*p - p = -3*z, 0 = -p - j*z. Is l at most p? True Let d = -397 - -22631/57. Is d at least -1? True Suppose 0*y + 3*y + 2*r + 122 = 0, -5*r = -5*y - 195. Let x be 168/y - (-1)/5. Is x != -5? True Suppose 3*o = -4*s - 11, -o - 3 = -4*s - 10. Which is bigger: o or -4/7? -4/7 Let q = -877118/1905 + -65/381. Let s = q - -462. Is 2 at least s? True Let o = 2 + 0. Suppose o = -z - r, 3*z + r = 8*z - 14. Which is bigger: z or 3? 3 Suppose -2*f = 6, -2*y + 6*f - f + 15 = 0. Let u be y*((-3)/2 + 2). Which is smaller: u or -1? -1 Let s = -1544/7 + 220. Is 0 <= s? False Let p(x) = -2*x**2 + 3. Let i be p(-4). Let t be 6/(-27) + i/(-9). Is 2 greater than t? False Let g(s) = 3*s - 20. Let o be g(6). Do -2 and o have the same value? True Let i = -3.7 - -4. Let s(n) = -n**2 - 7*n. Let r be s(-7). Suppose 5*t - 4*o = 6, r = 5*t + 3*o - o - 12. Do i and t have the same value? False Let f be -3 + 1 + (7 - 67 - -6). Which is greater: f or -55? -55 Let a = 77 - 77. Does -1/16 = a? False Suppose -3*j = 5*v - 13 - 5, -j + 2*v - 5 = 0. Is 5/4 at least as big as j? True Let s = -5 + 7. Suppose -s*f + 4 = -f. Suppose f*g - 5*r = g + 13, 3*g + 17 = -r. Is -4 >= g? True Let d = 11/20 - 3/10. Which is smaller: 1 or d? d Suppose 4*x + 9 = -4*m - x, -5*m + 4*x = 1. Let l(b) = -3*b**2 - 5*b - 4. Let i(u) = u**2 - u - 1. Let r(f) = -2*i(f) - l(f). Let w be r(-6). Are m and w equal? False Let m = 0.8 - 3. Let k = -0.8 + m. Which is smaller: -0.1 or k? k Suppose 3*j - 28 = -2*u + 2*j, 3*u = 4*j + 53. Suppose 0 = -3*o - 0*o + u. Let x be (o/(-25))/(1/2). Is 0.1 bigger than x? True Let u = 37 - 36. Is u less than or equal to -1/26? False Suppose -2 - 3 = -5*j. Let z be (1 + 2)*2/(-15). Do j and z have different values? True Suppose 3*s + 4*r - 50 = 0, 2*r + 57 = 3*s - r. Suppose 4*y = 5*q - 3, q - s = -0*q - 5*y. Is q bigger than 3? False Let o = 417404535/1300949 - 4/100073. Let p = o - 321. Let z = 0 - -1. Which is smaller: z or p? p Let o(s) = s - 4. Let m be o(-4). Let p be (-31)/(-35) - m/(-28). Which is bigger: 0 or p? p Suppose -3*t = t - 8, 0 = -5*h - 2*t - 106. Let a = h + 45/2. Let b be 1/(-4) + 26/40. Is b < a? True Let w be ((-6)/(-12))/(1/(-18)). Does w = -8? False Let d(r) = -3*r**2 + 1. Let i be d(1). Let l be (-13)/(-28) - i/7. Are -3 and l non-equal? True Suppose -5*z = -3*o - 31, 0 = -z - o + 1 + 10. Let h be (z/(-12))/(1/9). Let a be h/(-18) + 26/(-6). Which is smaller: -3 or a? a Let n = -0.3 + 0.2. Let v = n + -0.1. Which is greater: v or 1? 1 Let s = 91.29 - 92. Let z = s - -0.7. Let q = 0.01 + z. Which is greater: q or 7/2? 7/2 Let n = 14 + -10. Suppose 4*r = g - 1, -r - 9 = -g - 5*r. Is n < g? True Let l = -98.5 + 0.5. Let d = -94.1 - l. Let c = d - 4. Which is smaller: c or -2? -2 Let p = -1/3 + 5/6. Is -1/4 < p? True Let s(j) = -j**3 - 20*j**2 - 20*j - 19. Let i be s(-19). Which is smaller: i or 1/36? i Let q = 94/5 - 107/5. Which is bigger: -4 or q? q Let j = 3 - 3. Suppose 3 = 2*v + 2*z - 7, -4*v + 3*z = 1. Let m be (v - 11/3) + 2. Which is bigger: m or j? m Let a be 8/304*(1 - 5). Is a less than or equal to 0? True Let a = -44 + 18. Is a equal to -25? False Suppose 2*f = 5*o - 22, 5*f + o + 4*o = 15. Is f > 1/118? False Let k = -14/5 - -3. Let s be (0 + 0)*2/(-2). Which is smaller: k or s? s Let c(s) = 2*s + 3. Let k be c(-2). Let q be (-1)/(k - 4/(-6)). Which is smaller: 2 or q? 2 Let q = 103 + -102. Suppose 0 = s + 3*s. Which is smaller: q or s? s Suppose 0 = 3*z + 2*y - 1, -2*z - 3*z + 4*y = -9. Suppose 0 = 3*w + 3*u - 12, -3*w + 10 = -u - 22. Let s be 0/((w/(-3))/(-3)). Which is bigger: s or z? z Suppose 2*x + 10 = 2*p, -4*x + 5 = -3. Suppose -5 = 2*j - 9. Suppose -3*y - j - p = 0. Which is smaller: y or -4? -4 Suppose v - 20 = 6*v - 5*q, 0 = 2*v - 4*q + 16. Let z(y) = -5. Let g(n) = n + 1. Let f(r) = g(r) + z(r). Let w be f(v). Which is bigger: w or -3? -3 Let y be 8/((-3)/(36/(-10))). Let k = y - 422/45. Which is greater: 1 or k? 1 Let g be (-40)/(-1*26/(-3)). Let f = g - -639/130. Suppose 4*t - t = 0. Are f and t unequal? True Suppose -13 - 19 = -4*y. Which is greater: y or 7? y Let d be (8/12)/((-1)/327). Let c = 4795/22 + d. Is 0 less than c? False Let r = -19 - -20. Suppose 0 = 2*k + 3 + r. Is -9/4 less than k? True Suppose 0 = 5*k + 18 - 3. Let n(f) = -f**2 + 3*f + 3. Let l be n(-2). Let p be k*1 - (-9 - l). Do -1 and p have the same value? True Let y = -0.8 + -2.2. Let l be (-749)/(-14) + (-2)/(-4). Let g = l + -376/7. Is y > g? False Let w = 127/518 - -3/74. Which is smaller: w or 1? w Let n(k) = -k**2 + 2*k + 1. Let x be n(4). Let w = 12 + x. Suppose s - 6 = w*s - 2*q, 3*s - q = -3. Do s and -4/3 have different values? True Suppose -3*g + 11 = 3*i - 8*i, -5*i + g - 17 = 0. Which is smaller: -17/5 or i? i Suppose -r - 4 = -0*r. Let h(q) be the second derivative of -q**3/6 - 5*q**2/2 - 7*q. Let v be h(-2). Is v >= r? True Let x = -4 + 1. Let z = -2 - x. Let n = 3 - z. Which is smaller: n or 6/5? 6/5 Suppose 3*f + 3 = 3*r, -5*r + f - 1 + 2 = 0. Let w = 126/5 + -25. Is r less than or equal to w? True Let i be 10/35 - (3 + -2). Let v be ((-7)/(-14))/((-2)/16). Let x(y) = -y - 6. Let a be x(v). Which is smaller: a or i? a Let s = -33 - -33.3. Is s < -5? False Suppose -i - 2*k - 47 = 4*i, 5*i + 42 = 3*k. Let u be 4/(-10)*(-15)/i. Suppose -t - 13 = 3*t + 3*g, 0 = 3*g + 9. Which is bigger: u or t? u Let p(g) = -2*g - 19. Let t(u) = -u - 10. Let c(r) = 4*p(r) - 7*t(r). Let y be c(-7). Is y bigger than 0.1? True Let h(f) = 0 + 1 - 2*f + 3*f. Let z be h(-2). Which is smaller: -1/12 or z? z Let a = -872/5 + 176. Let x = -15 - -18. Is x < a? False Let q = 5.7 - -0.3. Let k = 5 - q. Is -1 greater than k? False Let w be 1 + (0 - 326/80). Let g = w + 27/10. Let d(r) = 3*r - 11. Let u be d(4). Are u and g nonequal? True Let o be 27/(-18) + 34/28. Let p = -2 - -3. Let l = p + -2. Is l less than o? True Suppose -4*y - 6*l = -2*l + 20, 3*y + 2*l + 10 = 0. Are 2/55 and y nonequal? True Let m(k) = 3*k**2 - 7*k - 5. Let p be m(-13). Let s = 21943/37 - p. Which is greater: 1 or s? 1 Let y = 706/3 + -238. Which is smaller: y or -3? -3 Let q be -4 + 3 + -2 + 0. Are q and -2/5 unequal? True Suppose 0 = -v - 4*w + 8, 0 = -5*v - 5*w + 34 - 9. Suppose 9*s + 15 = v*s. Let a be 4/6 + (-1)/s. Which is smaller: -1/4 or a? -1/4 Let i = -4 - -7. Let j be i/(-6) - (-1)/(-2). Is j > -1/4? False Let a(d) = d**3 - 11*d**2 + 11*d - 4. Let l be a(10). Let m be 4/l - (-50)/(-30). Are m and -7/5 unequal? True Suppose 1 + 7 = -2*g. Is -5/2 at least as big as g? True Let n = 36 + -26. Let z = n - 9. Let o = -228 + 6154/27. Is z != o? True Let s = -8 + 15/2. Let f = 0.3 + 0.5. Let m = f + 0.2. Which is smaller: m or s? s Suppose -l + 6*o + 39 = 3*o, 0 = -4*l + 4*o + 116. Let k be l/(-15) + 0 + 2. Is 0 at most k? True Let w = -0.13 - 7.87. Which is smaller: 0 or w? w Let p(c) be the third derivative of 2*c**2 + 0*c + 0 + 1/2*c**3 + 1/24*c**4. Let j be p(-3). Which is bigger: 2/3 or j? 2/3 Suppose 4*m + 3*y + 2 - 18 = 0, m - 5*y + 19 = 0. Is m greater than -1/48? True Let b be (10 + 2 + -4)/1. Let y be (-34)/b - (-2)/8. Do -5 and y have different values? True Let n(t) be the third derivative of -t**6/120 - t**5/60 + 3*t**2. Let x be n(-2). Are -0.1 and x equal? False Let l be ((-1)/(-2))/((-4)/(-48)). Let d be 2/l*2/(-13). Let b = -8/13 + d. Which is smaller: b or -2? -2 Let x(u) = -u**2 - 1. Suppose -3*m + 2*m = 1. Let y(t) = 8*t - 10. Let f(o) = m*y(o) + x(o). Let q be f(-9). Which is smaller: 1 or q? q Let r = -20 + 19. Is 48 <= r? False Let f = 519 - 11935/23. Which is greater: -1 or f? f Let s = -22 + 18. Does s = -7? False Let f = -21 + 3. Let a = 17.9 + f. Is 13 greater than a? True Let r be (-2)/(-4)*16*1. Let x be 2/r - (-6)/8. Which is greater: 0 or x? x Let p be ((-10)/4 + 2)*14. Let t = 5 - 5. Let c = t + -8. Which is smaller: p or c? c Let i(m) = -m**2 - m. Let q be i(0). Let p = q + -2. Which is greater: p or -4/3? -4/3 Let m = 7/250 + -1509/9250. Is m <= -1? False Let l(x) = -11 + 4*x - 2*x - 3*x + 0*x. Let h be l(-12). Which is bigger: -2/7 or h? h Let x be 2/11 - 53/(-11). Suppose -2*v + 4*v + x*k = 35, 4*v - 46 = -2*k. Which is bigger: v or -1? v Let d be (3 - 32/12)*1
{ "pile_set_name": "DM Mathematics" }
/15, -99, 0.2, -2? 0.2 Which is the closest to -1? (a) 409 (b) 0.5 (c) -1646 b Which is the nearest to -1/4? (a) 1 (b) -21 (c) -8 (d) 63.3 a Which is the nearest to -10/11? (a) 0.6 (b) -7 (c) 19 (d) -0.26 d Which is the nearest to -122? (a) -3 (b) 2.1 (c) 2 (d) 11/87 (e) 0.2 a Which is the nearest to 1? (a) -2 (b) 0.1 (c) -1 (d) 0.09 (e) 2877 (f) 2.79 b Which is the nearest to -11? (a) 2 (b) 0.4 (c) 18 (d) -13139 b Which is the closest to -1/3? (a) -7954/25 (b) 0 (c) 4/9 (d) -0.3 d What is the nearest to 40 in 28, -2/85, -3? 28 What is the closest to 0 in -0.5, 2/5, 3, -1/6, 2/235, 2/18491? 2/18491 What is the closest to 20/3 in -1/78, 0.1, 171? 0.1 Which is the closest to 2? (a) 395 (b) -4/59 (c) 3 (d) -1/12 (e) -5/2 c Which is the closest to -2/3? (a) 15/49 (b) 2 (c) 413 (d) -24 a Which is the nearest to 15/2? (a) -7 (b) -2 (c) -4 (d) 2/167 d Which is the closest to 0.4? (a) 5/16 (b) -3 (c) 0.8 (d) 655 (e) -0.3 (f) -0.4 a Which is the nearest to -0.1? (a) -4 (b) -0.223 (c) -5 (d) -745 (e) 1 b Which is the nearest to 2? (a) 7 (b) -2 (c) 0.3 (d) 7614 (e) -4 c Which is the closest to 2? (a) 1.4 (b) -3 (c) 16655 (d) -2 (e) 4 a What is the closest to 0 in 3, -0.02, 3422, -0.35? -0.02 What is the closest to 4 in -3/5, -34/485, -7? -34/485 What is the nearest to 6 in -0.2, 8.16, -1021? 8.16 What is the closest to -1/3 in 9, 3.922, -574? 3.922 What is the closest to -3/22 in 2.8, 0.3, 22, 0, 1/4? 0 What is the nearest to 183566.6 in -1, -0.1, 2? 2 Which is the nearest to 1? (a) 1694181 (b) 0.1 (c) -0.5 (d) 2/3 d Which is the nearest to 3813? (a) 2 (b) 0.1 (c) -3 (d) 1/4 (e) -1/6 (f) 1/67 a Which is the nearest to -37? (a) 5/96 (b) -1.5 (c) 2/5 (d) 2/13 (e) 2 b What is the nearest to -0.6 in 320, 1.145, -3/4, 0? -3/4 What is the nearest to -4 in -51759, 0.2, 4/7, -2, 1? -2 Which is the nearest to -9/4? (a) 24.063 (b) -0.2 (c) -5 (d) 5 b What is the nearest to -7 in -3, -210, -1/5, -3.1? -3.1 What is the closest to -69 in -54, 9.5, -4? -54 What is the closest to -2/9 in -0.08, -26, -3, -1/5, 5, 1/6? -1/5 What is the nearest to 18 in 2/7, -7, 0.03, -3, 1? 1 What is the nearest to 25 in -1/2, 0.02, 94/1125? 94/1125 What is the nearest to -0.1 in 313, 0.5, 0.16? 0.16 Which is the nearest to 1? (a) -1/7 (b) 1 (c) 2/5 (d) 7759 b What is the closest to 1/2 in 5, -0.03, 0.4, 318524? 0.4 What is the nearest to 6 in -1/41, -3, -7, -2/15, 5? 5 Which is the nearest to 4? (a) -3 (b) 257 (c) 2/591 (d) -4 c Which is the nearest to -0.1? (a) -0.1 (b) 2/895 (c) 2.6 (d) -14 a What is the nearest to 49 in 5507, 2, -15? 2 Which is the nearest to 5? (a) 1/6 (b) -1.6 (c) 7/4 (d) 57 (e) -33 (f) 0 c Which is the closest to 1? (a) -5 (b) -7462506 (c) 6 c What is the nearest to -153181 in -4, 3/134, 4? -4 What is the nearest to -17 in -4, -0.1, -26009, -2/3, 0.5? -4 Which is the nearest to 780/17? (a) 2 (b) -9/5 (c) -3 (d) -4 a Which is the nearest to 1? (a) -2/19 (b) -5 (c) 1/11 (d) -0.5 (e) 1 e What is the nearest to -2/3 in 834/35, 5, -7, -1? -1 What is the closest to -0.4 in -20, -82, 294? -20 What is the closest to -2 in -3/5, 20, 2017, 3? -3/5 Which is the closest to 14056? (a) -0.1 (b) 1/8 (c) 0.1 (d) 1596 d Which is the nearest to 5.792? (a) -3.8 (b) 2/5 (c) 9 c What is the nearest to -26 in -5, -9, -86/11? -9 What is the nearest to -9.2 in -9/5, -33, -116? -9/5 Which is the nearest to 1.1? (a) 144/7 (b) -1/19 (c) -4 b What is the closest to 74 in 0.137, 1/4, -0.019? 1/4 Which is the closest to 11? (a) 3.3 (b) 605 (c) -2/11 a What is the closest to 158 in 2/7, 3, 12, 170, 2/9? 170 What is the closest to 3 in 217, -3/8, -5, -22? -3/8 Which is the closest to 2? (a) -69/25 (b) -5 (c) -1/36 c What is the closest to -294 in 1, -1/3, -230, -5, 0.06? -230 Which is the nearest to -22.74? (a) -3 (b) -1/5 (c) -0.1 (d) 1/2 (e) 0.2 (f) 3 a Which is the closest to -93/7? (a) -0.02 (b) 1 (c) 11 a What is the closest to 54 in -2/181, 21/5, -5/6? 21/5 What is the nearest to -0.1 in -3, -104, 47, -31/19, 5? -31/19 Which is the nearest to 7/3? (a) -3 (b) -23 (c) -23/18 (d) 5 d Which is the nearest to 2? (a) -3/11 (b) -5 (c) -0.3485 (d) 1 (e) 229 d What is the nearest to 6 in -3, 2/15, -101.2, 0.08? 2/15 What is the closest to -3 in -2281.2, 4, 1? 1 What is the nearest to -1 in -4, 1, 49, -3/10, 801? -3/10 What is the closest to 3 in 5, -1/112, 40, -90? 5 Which is the closest to -3? (a) -0.04 (b) 63558 (c) 5 (d) 0.4 a Which is the nearest to -7? (a) 0.2 (b) -5 (c) 0.5 (d) -2/13 (e) 215 b What is the closest to 11 in 4, -0.4, -3, -4/7, 0.4, 1.34? 4 Which is the closest to 1/3? (a) -2/15 (b) 889 (c) -524 (d) 19 a Which is the closest to 9? (a) -12 (b) 0 (c) -10/23 (d) 1 (e) -1 d Which is the closest to -0.147? (a) 13 (b) 4 (c) 0.3 (d) 5927 (e) -0.1 e What is the closest to 10 in -4086, -0.3, 0.08? 0.08 What is the nearest to -1/874 in -3, 0.2, -39, 0.05, 3? 0.05 Which is the closest to -13? (a) -3/19 (b) 19234 (c) -4/7 c Which is the closest to 1? (a) 1268178 (b) 2 (c) -5 b Which is the nearest to -27150? (a) -157 (b) -1/5 (c) 4 a Which is the nearest to 2? (a) 0.5 (b) -0.766 (c) 4 (d) 3 (e) 5 d Which is the nearest to -29/23? (a) 0.06 (b) 3/25 (c) 1/5 a What is the nearest to 0 in -733117, 2, 3? 2 What is the closest to 0.2 in -2/11, 2/12777, -2165? 2/12777 Which is the nearest to 0.1? (a) 4 (b) 3 (c) -14 (d) -0.1 (e) -13/4 d What is the nearest to -27/22 in 0.1, 0.12, -90? 0.1 Which is the closest to 5/7? (a) 3 (b) 3/4 (c) -0.4275 b Which is the closest to 1/4? (a) 23 (b) 2 (c) 0.521 (d) 5 (e) 0.3 (f) 0.01 e Which is the closest to -0.7? (a) -2/9 (b) -0.031 (c) -0.05 (d) 2 (e) 4 (f) 0.13 a Which is the closest to -0.2? (a) -18 (b) 1 (c) 1041 (d) 4/5 (e) -1/5 e What is the nearest to 165693 in -5, -4, -10? -4 What is the closest to -108.3 in -2, 11, -6.94? -6.94 What is the closest to -447.09 in -1/7, 0.19, 5, -0.1? -1/7 What is the nearest to 0.0722 in -0.5, 1/4, 4.5, -41, 0.2? 0.2 What is the closest to 2 in 202/21, 1/2, 9524? 1/2 What is the nearest to 45 in 0.9, -1/2, 0.169? 0.9 What is the closest to 1 in -36, -0.5, -60721? -0.5 Which is the closest to 0.032? (a) 4 (b) -2 (c) 78.28 b What is the closest to -8/17 in -0.3, -3/8, 2/21, 1/88? -3/8 Which is the closest to 1/4? (a) 30 (b) 12.11 (c) -3/4 (d) -0.09 d Which is the closest to 1676? (a) 0.3 (b) -1/3 (c) 4 (d) -84 c What is the closest to -5 in 0, -23, 0.2, 4, 267/7? 0 Which is the closest to 0.2? (a) -5 (b) -109 (c) -5/4 (d) -0.3 (e) -321/11 d Which is the nearest to 0? (a) -3 (b) 544 (c) 0.8 (d) 1/10 d What is the nearest to 0 in -0.1, 7/3, 1, 1/2, -1/674? -1/674 What is the closest to 198 in -1/3, 3, -700.3, 4, -1? 4 Which is the closest to -2? (a) 10 (b) -17/3 (c) 0.3 (d) 0.4 (e) 0.1 (f) -2.5 f What is the closest to -1027 in 1/6, -1.7, -1/2, -1/159? -1.7 What is the closest to 2/9 in 11, 1, 647, 2/9, -5? 2/9 What is the closest to 2/11 in -1, 1/45149, 2/7, 39? 2/7 What is the nearest to 28.3 in -17.7, 1/63, 3? 3 Which is the nearest to 0.72? (a) -7 (b) 5 (c) -109.4 b What is the closest to -1 in 1/1945, 3/5, -0.2, 1/38, -3? -0.2 What is the closest to 0 in -6, 41, 0.2, -1, 267? 0.2 Which is the nearest to -0.1? (a) -1/16 (b) 0 (c) 11511 (d) 1/5 a What is the closest to 0.2 in 5, 4/3, 22518? 4/3 What is the nearest to -0.1 in -1/2, 0.1, 4, 3/8, 6097? 0.1 Which is the closest to -1/3? (a) -57 (b) 6/5 (c) -44 (d) 3/2 b What is the nearest to 0 in 40, -0.08, 1/217, 59, -2? 1/217 What is the closest to -4 in -85/6, 0.062, 2/5, 4? 0.062 What is the nearest to -21022 in -140, -4/5, 0.1? -140 What is the closest to 42496 in -2, -5, 2, -3? 2 Which is the nearest to 2/3? (a) 2/47 (b) 41 (c) -58766 a What is the nearest to -3/5 in -30456, -2, 0.04? 0.04 Which is the nearest to -0.311? (a) -5/2 (b) -3/19 (c) 1/4 (d) -2 b What is the nearest to -2 in -0.211, -87, 25, 3, -3/2? -3/2 Which is the nearest to -2/3? (a) -0.7 (b) 2 (c) 88 (d) 0.052 a Which is the closest to 179? (a) -1/2 (b) 9/2 (c) 86 (d) 3 (e) 1/5 c Which is the closest to 1? (a) 2/11 (b) 129/2 (c) 6.545
{ "pile_set_name": "DM Mathematics" }
1*i**2 Let k(y) be the third derivative of -7*y**5/60 - 3*y**2. Let p(g) = -g. Give k(p(t)). -7*t**2 Let p(t) be the third derivative of -17*t**6/720 - 5*t**4/24 - 8*t**2. Let u(q) be the second derivative of p(q). Let o(y) = 2*y. Determine o(u(r)). -34*r Let s(j) = j. Suppose 2*r = r + 2. Let y(n) = -n + r*n + 6*n - 5*n. Calculate s(y(t)). 2*t Let f(y) = -2*y**2. Let g(j) = j. Calculate g(f(l)). -2*l**2 Let r(q) = -5*q**2 + 2 + 2*q**2 - 4. Let t(y) = -4*y**2 - 3. Let w(j) = 3*r(j) - 2*t(j). Let s(k) be the third derivative of -k**4/8 - k**2. Calculate s(w(d)). 3*d**2 Let m(z) = 14*z. Let i(x) = 10*x**2 + 7*x - 7. Let y(q) = -3*q**2 - 2*q + 2. Let f(k) = 2*i(k) + 7*y(k). What is m(f(l))? -14*l**2 Let m(k) = 3*k. Let s(f) = -6*f - 11. Give m(s(u)). -18*u - 33 Let m(y) be the third derivative of -y**4/6 - 2*y**2. Let d(n) be the third derivative of -n**4/12 - 2*n**2. What is m(d(u))? 8*u Let f(y) = -35*y**2. Let p(k) = -11*k**2. Calculate p(f(m)). -13475*m**4 Let b(c) = -c**2 + 2*c - 2. Let s(f) be the first derivative of 5*f + 2/3*f**3 + 2 - 5/2*f**2. Let p(w) = 5*b(w) + 2*s(w). Let i(x) = 2*x**2. Determine i(p(h)). 2*h**4 Let n(t) be the first derivative of -t**3/6 + 2*t + 5. Let v(a) be the first derivative of n(a). Let l(w) = w. Calculate l(v(b)). -b Let k(z) = z**2. Let o(j) = 82*j**2. Calculate o(k(h)). 82*h**4 Suppose -4*h + 4 = -4. Let g(s) = s**2 - 3*s**2 - s**h. Let i(p) be the first derivative of -p**2 - 13. Calculate g(i(f)). -12*f**2 Let i(k) = -817*k - 171. Let d(s) = -19*s - 4. Let w(x) = -171*d(x) + 4*i(x). Let o(l) = l. Determine o(w(f)). -19*f Let t(b) = -9*b**2. Let j(l) = 0*l + 4*l + 10*l - 20*l. Give j(t(c)). 54*c**2 Let q(f) = 3. Let w(c) = c + 2. Let p(n) = -2*q(n) + 3*w(n). Let o(t) = -t**2. Calculate p(o(x)). -3*x**2 Let j(n) = -3*n**2. Let b(g) = 5*g - 3*g + 4*g. Calculate b(j(h)). -18*h**2 Let u(x) = -x**2 + 5*x - 4. Let i be u(3). Let d = -4 - -6. Let c(t) = -2 + d + i*t. Let w(z) = z**2. Calculate c(w(v)). 2*v**2 Let n(q) = 7*q. Let b(x) = -2247*x**2. Calculate b(n(m)). -110103*m**2 Let w(d) = -3*d**2. Let m(n) = -2796*n**2. What is w(m(g))? -23452848*g**4 Let x(r) be the second derivative of r**3/3 + r. Let y(i) = 0*i + 2*i**2 - i + i. Calculate x(y(k)). 4*k**2 Let s(f) = -3*f - 1. Let d(y) = y. Determine s(d(g)). -3*g - 1 Let l(y) = -2*y - 59. Let a(i) = 15*i**2. What is a(l(g))? 60*g**2 + 3540*g + 52215 Let i(s) = s. Let h(l) be the first derivative of l**3 + 6. Give h(i(z)). 3*z**2 Let p(a) = 5*a. Let m(d) be the third derivative of d**5/30 + 6*d**2. Calculate p(m(s)). 10*s**2 Let v(u) = -u. Let o(x) = 4*x - 5. Let p be o(6). Let j = -13 - -15. Let h(m) = -p*m + 19*m - 4*m**j. Calculate v(h(r)). 4*r**2 Let p(q) = -3*q. Let a(j) = -18*j**2. Calculate p(a(r)). 54*r**2 Let k(v) = -5*v - 11. Let l(a) = a + 1. Let c(y) = k(y) + 6*l(y). Let b be c(7). Let m(w) = -b*w - 2*w + 5*w. Let d(g) = g**2. Calculate d(m(t)). t**2 Let z(w) = -2*w. Let f(n) = 12*n - 11. Give f(z(x)). -24*x - 11 Let x(l) = l. Let o(z) = 5*z. Let f(n) = n. Let k(s) = -6*f(s) + o(s). Determine x(k(j)). -j Let l(j) be the second derivative of -j**3/6 + j + 25. Let a(m) = -14*m**2. Determine l(a(s)). 14*s**2 Let b(i) = -i. Let v(n) = 2236*n**2. What is b(v(l))? -2236*l**2 Let x(v) = -3*v. Let s(i) be the second derivative of i**4/3 - 3*i. What is x(s(h))? -12*h**2 Let b(i) = -10*i. Let a(q) = 2*q - 5*q + 2*q. Determine a(b(r)). 10*r Let s(u) = -u - 1. Let z(f) be the first derivative of -9*f**2/2 - 6*f - 4. Let a(k) = 6*s(k) - z(k). Let m(o) = -o. Calculate m(a(d)). -3*d Let t(l) = 5*l. Let f(o) = 120*o. Calculate f(t(n)). 600*n Let p(u) = -1. Let n(v) = -2*v + 2. Let r(f) = -n(f) - 2*p(f). Let m(j) = -j + 5*j + 4*j + 3*j. Calculate r(m(x)). 22*x Let x(d) = d. Let b(y) = -7*y**2 + 9*y**2 + 2*y**2. What is b(x(z))? 4*z**2 Let t be 5/2*(-40)/(-25). Suppose -3*f = 2*o - 8, f + 4*o - t = 2. Let x(z) = -f*z + 2*z - z + 6*z. Let u(n) = -2*n**2. What is x(u(r))? -10*r**2 Let l(x) = -x**3 - x**2 + 3*x + 4. Let h be l(-2). Let j(o) = 12 - 12 - 8*o**h. Let k(n) = n**2. Determine j(k(p)). -8*p**4 Let b(r) = 6*r. Let y(p) = -5*p**2. Calculate b(y(q)). -30*q**2 Let c(m) = 2*m. Let z(f) = -12*f + 20. Let d(y) = y - 1. Let u(o) = 120*d(o) + 6*z(o). What is u(c(j))? 96*j Let m(x) = -2*x + 6. Let i(s) = -7*s**2 + 9*s**2 - 3*s**2. What is i(m(v))? -4*v**2 + 24*v - 36 Let w(u) = 2*u**2. Let s(h) = h**2 - h. Let z(k) = -8*k**2 + 3*k - 1. Let t(d) = 3*s(d) + z(d). Calculate t(w(m)). -20*m**4 - 1 Let w(b) = 22 - 3*b - 10 - 12. Let j be (-3)/(-2)*12/9. Let u(z) = 2*z**2 + 2*z**2 - 6*z**j. What is w(u(s))? 6*s**2 Let q(v) = 2*v - 162. Let r(x) = -6*x. Determine q(r(b)). -12*b - 162 Let x(d) = -726*d. Let y(n) = -2*n**2. What is y(x(h))? -1054152*h**2 Let h(c) = 2*c. Let d(i) = 104 + 16*i**2 - 104. Determine d(h(o)). 64*o**2 Let n(g) be the second derivative of 0*g**2 + 1/12*g**4 + g + 0*g**3 + 0. Let m(u) = -u. Calculate m(n(a)). -a**2 Let t(y) = -4 - 3*y**2 + 8 - 4. Let n(j) = -13*j. Determine t(n(m)). -507*m**2 Let v(y) be the third derivative of y**4/8 - 2*y**2 + 19*y. Let j(k) = -33*k. Give j(v(l)). -99*l Let j(w) = -2*w. Let x(l) = -l - 3. Let f be x(-8). Suppose 0 = -f*b + q + 8, 0 = q + 2*q - 6. Let a(z) = -5*z**b + 2 - 2. Determine a(j(c)). -20*c**2 Let y(i) = i. Let o(v) = -102*v + 3. What is y(o(s))? -102*s + 3 Let h(p) = 15*p. Let m(g) = -13*g**2. Calculate m(h(z)). -2925*z**2 Let l(n) = -n. Let g(i) = i + 10. What is l(g(f))? -f - 10 Let n(u) = -9*u. Let t(o) be the second derivative of -o**4/12 - o**2/2 + 2*o. Let h(q) be the first derivative of t(q). Calculate n(h(r)). 18*r Let n(o) = -7*o**2. Let k(y) be the second derivative of -y**3/6 + y. What is k(n(q))? 7*q**2 Let l(b) be the third derivative of -b**6/60 - 2*b**3/3 - b**2. Let i(m) be the first derivative of l(m). Let v(t) = t**2. Determine i(v(h)). -6*h**4 Let u(x) = -7*x. Let z be (3 - 0)*1 + -6. Let b(w) = -7*w. Let o(y) = z*b(y) + 2*u(y). Let q(d) = 2*d. Give q(o(l)). 14*l Let c(t) = -974*t. Let i(g) = 6*g. Give c(i(z)). -5844*z Let a(j) = 7*j. Let b = 0 + 9. Let l(k) = 7*k**2 + b*k**2 - 15*k**2. Give a(l(v)). 7*v**2 Let y(w) = 10*w - 14*w + 5*w. Let g(c) = 9*c**2. What is y(g(h))? 9*h**2 Let b(s) = 4*s**2 + 50. Let o(d) = 2*d**2. Calculate o(b(t)). 32*t**4 + 800*t**2 + 5000 Let f(v) be the first derivative of 1 - 4*v**2 + 5*v**2 + v - v. Let u(l) = 5*l**2. Calculate u(f(d)). 20*d**2 Let m(w) = -2*w**2. Suppose -10 = -4*x - q, 5*q - 7 = 3. Let t(d) = 6*d**2 - 2*d - 2. Let y(n) = n**2 + n + 1. Let u(h) = x*y(h) + t(h). Give u(m(p)). 32*p**4 Let c(x) = -26*x. Let f(a) = 13*a**2. Determine c(f(n)). -338*n**2 Let v(y) be the third derivative of -2/3*y**3 + 0*y**4 + 0*y - y**2 + 1/40*y**5 + 0. Let p(q) be the first derivative of v(q). Let s(u) = u. Determine s(p(r)). 3*r Let p(c) = c**2 + c. Let f(x) = 4*x**2 + 3*x. Let w(g) = -f(g) + 3*p(g). Let m(y) = 7*y**2. Determine w(m(o)). -49*o**4 Let r(f) be the first derivative of f**4/6 - 3*f - 2. Let b(a) be the first derivative of r(a). Let q(y) = -6*y. Determine q(b(v)). -12*v**2 Let z(k) = -667*k**2. Let s(t) = t**2. What is z(s(y))? -667*y**4 Let s(y) = 4*y**2 - y. Let m(a) = -3*a - 130. Calculate s(m(v)). 36*v**2 + 3123*v + 67730 Let d(j) = j. Let t(u) = u**3 + 2*u**2 - 2*u - 2. Let n be t(-2). Let i(k) = -3*k**2 - 5*k**n + 5*k**2. Determine d(i(h)). -3*h**2 Let m(s) = -30*s - 9. Let a(v) = -2*v. Determine m(a(b)). 60*b - 9 Let c(x) = 2*x**2. Let b(w) = -6*w - 8. Determine b(c(f)). -12*f**2 - 8 Let k(o) = -o**2. Let d(a) = -a + 5. Let x(g) = 18 - 4*g - 5 + 11. Let z(t) = 24*d(t) - 5*x(t). What is k(z(y))? -16*y**2 Let m = 36 - 36. Let g(d) be the third derivative of 0 + 0*d**3 + m*d**4 - 3*d**2 - 1/30*d**5 + 0*d. Let q(i) = -4*i**2. Calculate q(g(y)). -16*y**4 Let g(z) = 10*z - 3. Let f(b) = 3*b. Calculate f(g(k)). 30*k - 9 Let z be (-11)/(-4) - (-2)/8. Let x be (-2)/5 + 24/10. Let y(b) = -x*b + z*b + b. Let h(w) = -2*w**2. What is y(h(m))? -4*m**2 Let i(t) = -6*t. Let g(n) be the second derivative of -n**6/360 - 5*n**3/6 - n. Let v(m) be the second derivative of g(m). Give i(v(k)). 6*k**2 Let l = -9 - -11. Let k(i) = i. Let c(s) = -3*s. Let z(v) = l*c(v) + 5*k(v). Let r(x) = -9*x**2. Determine r(z(u)). -9*u**2 Let n(s) = s. Let d be (-21)/28 - (-15)/4
{ "pile_set_name": "DM Mathematics" }
s? -0.0004 Let i = -19 - -5. Let j = 24 + i. Suppose 813 = -j*s - 4587. Round s to the nearest 100. -500 Let s = 1173 + -1166.838. Let u = s - -0.028. What is u rounded to the nearest 10? 10 Let l = 611 + -636.64. Let p = l + 13.51. What is p rounded to one dp? -12.1 Suppose 0 = -5*f + 23 - 3. Suppose -2*l + f*x = -412, l + 3*l = -3*x + 868. Let q = 24 - l. Round q to the nearest one hundred. -200 Let m(o) be the third derivative of -o**6/120 - 2*o**5/15 - o**4/4 + 7*o**3/6 - o**2. Let w = -994 - -987. Let q be m(w). Round q to 2 dps. 0 Let q = 381.0818 - 381. Let p = -18.0318 + q. Let h = p - -11.76. Round h to 1 dp. -6.2 Let m be (-975194)/10 + 6760/(-2600). Round m to the nearest 10000. -100000 Let p = -24683419757.99999922 - -24683419483. Let r = p - -275. Round r to seven dps. 0.0000008 Suppose 4161 = 5*r + 401. Let m be ((-21)/2)/((-208)/(-160) - 36/20). Suppose m*k - 13*k = r. What is k rounded to the nearest 10? 90 Suppose -2*k + 3*x = -2*x + 3, -2*k = -3*x - 3. Suppose -3*a - 251388 = -3*l, l + k*a - 83812 = 3*a. What is l rounded to the nearest 10000? 80000 Let t = -175 - -178.74. Let i = t + -3.7553. What is i rounded to 3 decimal places? -0.015 Let h = -3992.437338 + 3992.86. Let o = h - 0.423. Round o to four dps. -0.0003 Let u = -6.598 + 6.8. Let t = 0.20200105 - u. What is t rounded to 7 decimal places? 0.0000011 Let k = -6.88 + 4.99. Let c = 30.4 - 33. Let u = k - c. Round u to one decimal place. 0.7 Let v(t) = t**2 - 5*t - 651031. Let a be v(0). Let r = 314031 + a. What is r rounded to the nearest one hundred thousand? -300000 Let r(h) = -13344*h**2 + 274*h - 410. Let o be r(-35). Round o to the nearest one million. -16000000 Let m = -337.87617 + 338.02. Round m to 3 dps. 0.144 Let r = 1131 + 959. Let y = 2071.58 - r. Let z = y + 19. Round z to 1 decimal place. 0.6 Suppose 4*x - i - 80 = 140, -3*x = -i - 164. Let a be (-2)/8 - 1142399986/x. What is a rounded to the nearest 1000000? -20000000 Let s = -13486.0000040944 - -13486. Round s to seven dps. -0.0000041 Let v = -1.0355015838 + 1.0355. Round v to seven dps. -0.0000016 Let j = 215.702 + 0.298. Let a = j - 92. Let b = a - 123.584. What is b rounded to two decimal places? 0.42 Let v be ((-84)/24*-2 - 10)*-2153*1. Round v to the nearest 100. 6500 Let r = 75044.45471 + -75045. Round r to one decimal place. -0.5 Let x = -0.0504 + 0.4604. Let h = 2479 + -2479.41096. Let i = h + x. What is i rounded to four dps? -0.001 Let t = 2497434.9322973 + -9535743.1322758. Let w = -7038301 - t. Let p = -7.2 + w. What is p rounded to 6 decimal places? -0.000022 Let d = 365 + -369. Let a = d + -1.05. What is a rounded to one dp? -5.1 Let y = 0.0252 - -206.4748. Let j = y + -159. What is j rounded to 0 decimal places? 48 Let f = -351.5 + 288. Let y = -40.8 - f. Let g = y - 22.700103. What is g rounded to five decimal places? -0.0001 Let y = 0.3 + 91.7. Let t = -100.2 + y. What is t rounded to 0 dps? -8 Let b = -792.2 - -755.27. Round b to the nearest 10. -40 Let c(o) = o**3 + 4*o**2 - 14*o - 49. Let z be c(-5). Let a be z/(-6) - (-118874)/(-21). What is a rounded to the nearest one hundred? -5700 Suppose 0 = 5*p - w - 14973 + 1843, 5*w = 5*p - 13130. Suppose 0 = -5*q + 1334 + p. Let c = 196208 + q. What is c rounded to the nearest ten thousand? 200000 Suppose 0 = -m + 6*m - 15*m. Suppose 4*y + 3*t + t = m, 0 = t - 0*t. Round y to 6 decimal places. 0 Let u = -2.1501 + 2.17. Let x = 42.4199 - u. Round x to the nearest 10. 40 Let c(o) = -37800*o**3 - 2*o**2 + 2. Let l(r) = r - 10. Let m be l(11). Let u be c(m). Round u to the nearest ten thousand. -40000 Let z = -59946194.6 - 16945516.4. Let w = 76891687.9999765 + z. Let f = 23 + w. Round f to 6 decimal places. -0.000024 Suppose 4*g - 2*m = 47662480, -2*g + 47662480 = 2*g + 4*m. Let d = g + -5825620. Round d to the nearest 1000000. 6000000 Let i = 3499.9 + -3498.1031. Round i to one dp. 1.8 Let m = -0.6 - 5. Let z = 3.65 + 4. Let j = z + m. What is j rounded to 1 decimal place? 2.1 Let d = 640291 - -562909. Round d to the nearest 100000. 1200000 Let n = 2927366 - -102132634. What is n rounded to the nearest one million? 105000000 Let t = -1.610924281 - -1.61101. What is t rounded to six dps? 0.000086 Let d = 6517.4 + -6871.176. Let y = d + 351. What is y rounded to one dp? -2.8 Let s = -52 + 62. Let r(t) = 3*t - 34. Let j be r(s). Let b be 36/(-48) + 159997/j. What is b rounded to the nearest 100000? 0 Let h = -0.66 + 7.11. Let f = -14.49 + h. What is f rounded to 1 decimal place? -8 Let k(m) = m**3 - m**2 + 1. Let j(t) = 150*t**3 + 22*t**2 - 34. Let v(y) = -j(y) + 2*k(y). Let i be v(-41). Round i to the nearest one hundred thousand. 10200000 Let b = -0.141 + -62.859. Let n = 62.81 + b. Let w = 0.19164 + n. Round w to 4 decimal places. 0.0016 Let f = -163997.8703 + 163991. Round f to 0 decimal places. -7 Let q = 11927.00000020298 + -11927. Round q to 7 dps. 0.0000002 Suppose -13*p + 2460494 + 147765 + 2891651 = 0. What is p rounded to the nearest one thousand? 423000 Let h = -0.1331 + 0.0944. Let u = h - 5.8013. What is u rounded to one decimal place? -5.8 Let s = 30333.3123582 - -8232.5381461. Let w = s - 38592.8505. Let b = w - -27. What is b rounded to 6 decimal places? 0.000004 Let y = 11632 - 11632.00000038376. Round y to 7 dps. -0.0000004 Let z = -15338.93847 - -15339. What is z rounded to two dps? 0.06 Let q = -85.1481 - -0.0481. Let i = 85.100723 + q. What is i rounded to five dps? 0.00072 Let b be (-33)/77*21 + (1 - -1701008). Round b to the nearest 1000000. 2000000 Let h = -2205122 + 2205118.620553. Let p = -540 + 536.62. Let m = p - h. Round m to four dps. -0.0006 Let w = 0.008662 - 0.0542. What is w rounded to four decimal places? -0.0455 Let t = 25.5 - -186.5. Let k = -6979.39 - -6764. Let x = t + k. What is x rounded to 1 decimal place? -3.4 Let c = -7026333 - -13473433. Round c to the nearest one hundred thousand. 6400000 Let v = -0.0223 + -231.9777. Let p = -231.796 - v. Round p to one dp. 0.2 Let n = 467 - 479.7. Let x = n + 6.52. What is x rounded to 0 decimal places? -6 Let v(r) = -760*r**2 + 17*r + 93. Let n be v(11). What is n rounded to the nearest one thousand? -92000 Let k = -83.2 - -37.2. Let o = -5271 - -5316.998. Let d = k + o. Round d to three decimal places. -0.002 Let c = 593 + 3. Let q = 513587801 + -513587204.999587. Let f = c - q. Round f to 5 decimal places. -0.00041 Let w be (1/(-6))/((-1)/318). Let b(m) = -29*m - 1. Let r be b(1). Let h = r + w. What is h rounded to zero dps? 23 Let d = 1.66 + -38.623. Let q = 37 + d. What is q rounded to two decimal places? 0.04 Let w = -166 + 199. Suppose -w*q = 6066 + 2976. Round q to the nearest 10. -270 Let a = -509838 + 509842.999815. Let i = 61.8 + -66.8. Let f = i + a. Round f to five dps. -0.00019 Let m = 7.9077 + 0.9053. Let r = m + -0.673. Round r to the nearest integer. 8 Let i = -38973 + 34870.5. Round i to the nearest 10. -4100 Let r = 88.52 + 2.48. Let v = r + -91.00000555. What is v rounded to seven dps? -0.0000056 Let r(p) = p**3 + 4*p**2 + 5. Let f be r(-4). Suppose -f*a + 0 = -20. Suppose -k + 2*u + u = 33, 74 = -2*k + a*u. What is k rounded to the nearest ten? -50 Suppose 0 = -i + 3*l - 2, 0 = -4*l - l - 10. Let x(p) = 5628*p + 124903 - 249795 + 124916. Let n be x(i). Round n to the nearest 1000. -45000 Suppose -5*g = -12*g - 210. Let x be (12/1)/(g/(-20)). Suppose -7*j = -x*j - 5150. Round j to the nearest one thousand. -5000 Let y = 42778 - 42960.816. Let o = y + 183. What is o rounded to 1 decimal place? 0.2 Let m be -3 + 7 + 49308576/6. Suppose -3*h = 28*h - m. Round h to the nearest ten thousand. 270000 Let n = 8940.7514263 + -8946.9314. Let a = n + 6.18. What is a rounded to 5 decimal places? 0.00003 Suppose 3*v + 202*h - 13034718 = 199*h, 3*h = 18. What is v rounded to the nearest 1000000? 4000000 Let n = 0.053 + 30.947. Let o = -30.9768 + n. Let m = o + -0.03. What is m rounded to 3 dps? -0.007 Let a = -4.5 + 1.38. Let l = 17368.1351 - 17365. Let r = l + a. Round r to three dps. 0.015 Suppose -1316581 = 32*z + 4638619. Round z to the nearest one hundred thousand. -200000 Let r = 0.04587751 - 0.045479. Round r to 5 decimal places. 0.0004 Let a = -221 - -230. Suppose 1590 = 11*q - a*q. Round q to the nearest one hundred. 800 Let l(t) = -t + 4. Let
{ "pile_set_name": "DM Mathematics" }
hths of a litre? 2625 How many micrometers are there in one fifth of a millimeter? 200 What is 0.0117317ug in grams? 0.0000000117317 How many millilitres are there in 25/4 of a litre? 6250 How many millilitres are there in 6.768564 litres? 6768.564 How many tonnes are there in 7256.328ng? 0.000000000007256328 How many nanograms are there in 163.3028 tonnes? 163302800000000000 How many millimeters are there in 1.779501nm? 0.000001779501 What is 3/8 of a litre in millilitres? 375 How many nanometers are there in 17/4 of a micrometer? 4250 What is 3523.83 milligrams in grams? 3.52383 How many millilitres are there in 3/5 of a litre? 600 What is 0.827574g in tonnes? 0.000000827574 What is seven quarters of a milligram in micrograms? 1750 What is 73.15839 weeks in minutes? 737436.5712 How many centimeters are there in nine sixteenths of a kilometer? 56250 How many hours are there in 66.30741 seconds? 0.018418725 What is 0.8035357ml in litres? 0.0008035357 Convert 11014.2 hours to days. 458.925 Convert 622420.3 decades to months. 74690436 How many meters are there in 86.99571 kilometers? 86995.71 What is fourty-five quarters of a millimeter in micrometers? 11250 Convert 285.7683l to millilitres. 285768.3 What is 1/5 of a kilogram in grams? 200 How many grams are there in 27/2 of a kilogram? 13500 Convert 421.3187 centimeters to meters. 4.213187 What is 0.8240697ml in litres? 0.0008240697 What is 1/4 of a micrometer in nanometers? 250 How many grams are there in 80.31334 tonnes? 80313340 What is 40.04559s in minutes? 0.6674265 What is 0.4068156 years in centuries? 0.004068156 How many litres are there in 0.5888228ml? 0.0005888228 How many grams are there in eighty-one halves of a kilogram? 40500 What is two fifteenths of a hour in minutes? 8 How many millilitres are there in 6/5 of a litre? 1200 What is 313.4603 centuries in millennia? 31.34603 What is three eighths of a millennium in years? 375 How many micrometers are there in 12/25 of a centimeter? 4800 How many micrometers are there in 3/5 of a centimeter? 6000 What is 11/2 of a centimeter in millimeters? 55 How many meters are there in 15/4 of a kilometer? 3750 What is 53587.58 litres in millilitres? 53587580 What is 22646.28km in meters? 22646280 What is 1/5 of a millennium in years? 200 What is 27/2 of a day in minutes? 19440 How many months are there in fourty-five quarters of a century? 13500 How many micrometers are there in 34.42472cm? 344247.2 How many milliseconds are there in 1/45 of a hour? 80000 How many milligrams are there in 7217.27 kilograms? 7217270000 What is 539757.9 millilitres in litres? 539.7579 How many minutes are there in 67/4 of a hour? 1005 How many centimeters are there in 0.9436637km? 94366.37 What is three sixteenths of a centimeter in micrometers? 1875 Convert 819.1993 years to months. 9830.3916 How many months are there in twenty-seven quarters of a millennium? 81000 How many litres are there in 67567.16ml? 67.56716 What is 1/64 of a tonne in grams? 15625 What is 17.343669 hours in weeks? 0.103236125 What is 283969.4 meters in nanometers? 283969400000000 Convert 0.5420258 litres to millilitres. 542.0258 What is eleven halves of a kilogram in grams? 5500 Convert 394.0263 millimeters to kilometers. 0.0003940263 What is 67/5 of a kilogram in grams? 13400 What is 20149.51 millilitres in litres? 20.14951 What is 0.4391109l in millilitres? 439.1109 How many millilitres are there in fourty-five halves of a litre? 22500 How many years are there in thirty-one fifths of a century? 620 How many millilitres are there in 48.16528l? 48165.28 What is three eighths of a tonne in kilograms? 375 What is 1/5 of a milligram in micrograms? 200 How many seconds are there in 2/9 of a day? 19200 What is 41.94455 milligrams in grams? 0.04194455 How many millilitres are there in fourty-three halves of a litre? 21500 How many grams are there in 3/32 of a tonne? 93750 How many meters are there in 3/10 of a kilometer? 300 How many millimeters are there in 5/4 of a meter? 1250 What is 714.3859 meters in millimeters? 714385.9 What is 1/4 of a litre in millilitres? 250 What is three fifths of a micrometer in nanometers? 600 How many nanograms are there in six fifths of a microgram? 1200 What is 0.0580925 years in months? 0.69711 How many grams are there in 46.5929 tonnes? 46592900 How many millilitres are there in 72145.05l? 72145050 What is 48.52735t in kilograms? 48527.35 What is 158143.1 micrometers in millimeters? 158.1431 What is three eighths of a minute in milliseconds? 22500 How many nanoseconds are there in 492552.3 seconds? 492552300000000 How many decades are there in three tenths of a century? 3 What is 7.265341m in kilometers? 0.007265341 How many hours are there in fourty-five halves of a day? 540 How many years are there in 8/25 of a millennium? 320 What is 4402.811 millennia in centuries? 44028.11 What is 28.43993 nanoseconds in microseconds? 0.02843993 Convert 151.40433 months to decades. 1.26170275 What is 30.82505 kilometers in nanometers? 30825050000000 How many litres are there in 9.408826ml? 0.009408826 How many micrometers are there in one fifth of a millimeter? 200 What is thirty-three fifths of a litre in millilitres? 6600 How many seconds are there in 3/5 of a minute? 36 How many hours are there in thirteen quarters of a day? 78 How many litres are there in 45136.49ml? 45.13649 What is 8/25 of a litre in millilitres? 320 What is 6635.001ml in litres? 6.635001 What is fifty-three fifths of a kilogram in grams? 10600 What is 0.0975873 hours in nanoseconds? 351314280000 Convert 1.411218 hours to seconds. 5080.3848 What is 7.8114294 nanoseconds in hours? 0.0000000000021698415 What is 1/16 of a week in minutes? 630 What is 21.95032 millennia in months? 263403.84 How many minutes are there in 3/8 of a day? 540 What is 3/40 of a litre in millilitres? 75 What is 0.0378865 milligrams in nanograms? 37886.5 How many micrometers are there in twenty-one quarters of a millimeter? 5250 What is 0.542298 nanometers in kilometers? 0.000000000000542298 What is 11/8 of a litre in millilitres? 1375 What is 3.748204 tonnes in nanograms? 3748204000000000 What is one tenth of a kilometer in centimeters? 10000 Convert 1055.295l to millilitres. 1055295 How many microseconds are there in 0.5086796 hours? 1831246560 What is 1/6 of a decade in months? 20 What is 268124.823s in days? 3.1032965625 How many nanometers are there in 6/5 of a micrometer? 1200 How many milligrams are there in 57/5 of a gram? 11400 What is 52442.97 milliseconds in nanoseconds? 52442970000 What is 90.03155 kilograms in grams? 90031.55 How many seconds are there in 15/4 of a hour? 13500 What is one quarter of a year in months? 3 How many millilitres are there in 17/4 of a litre? 4250 How many months are there in 1/4 of a millennium? 3000 How many hours are there in 8.469901 days? 203.277624 Convert 53.6027ml to litres. 0.0536027 What is 1/5 of a litre in millilitres? 200 What is 3/8 of a milligram in micrograms? 375 How many millimeters are there in 0.7751289nm? 0.0000007751289 What is 9.938618 years in centuries? 0.09938618 How many months are there in 3/8 of a century? 450 Convert 183.9469 decades to months. 22073.628 How many decades are there in one tenth of a century? 1 What is six fifths of a century in decades? 12 What is 99261.01 centuries in years? 9926101 How many milligrams are there in three tenths of a gram? 300 What is 209713.59 months in centuries? 174.761325 What is seventeen quarters of a litre in millilitres? 4250 What is 42.0792624 nanoseconds in weeks? 0.0000000000000695755 What is 916287.7 micrograms in grams? 0.9162877 Convert 33862.36t to kilograms. 33862360 How many years are there in twenty-nine fifths of a millennium? 5800 What is seventeen sixths of a century in months? 3400 What is 4/3 of a century in months? 1600 What is three tenths of a microsecond in nanoseconds? 300 How many microseconds are there in 4.66325 days? 402904800000 What is 72/5 of a litre in millilitres? 14400 How many years are there in twenty-five quarters of a century? 625 How many years are there in seven eighths of a millennium? 875 Convert 65328.37g to nanograms. 65328370000000 How many microseconds are there in 25/8 of
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from vvygy. Give prob of picking 2 y. 1/10 Four letters picked without replacement from {u: 5, f: 3, s: 1, o: 1, e: 2, c: 3}. What is prob of picking 1 e, 1 f, and 2 c? 6/455 Calculate prob of picking 2 s when two letters picked without replacement from {v: 2, m: 7, s: 2}. 1/55 Two letters picked without replacement from gssggvvgsvbbsssgsv. What is prob of picking 2 v? 2/51 What is prob of picking 1 e and 2 w when three letters picked without replacement from {e: 1, v: 1, w: 2}? 1/4 Three letters picked without replacement from {v: 4, w: 4, b: 2}. Give prob of picking 3 w. 1/30 Two letters picked without replacement from {g: 1, v: 2, b: 1}. Give prob of picking 1 b and 1 g. 1/6 What is prob of picking 1 p and 2 h when three letters picked without replacement from pziyyhhzxhz? 1/55 Two letters picked without replacement from nrn. Give prob of picking 2 n. 1/3 Three letters picked without replacement from {l: 5, b: 4, h: 1, e: 5}. What is prob of picking 1 b, 1 h, and 1 l? 4/91 Four letters picked without replacement from {i: 3, w: 1, u: 2, s: 6, g: 2, b: 5}. What is prob of picking 1 s, 1 g, and 2 u? 1/323 Calculate prob of picking 2 o and 1 n when three letters picked without replacement from oonpopp. 3/35 Four letters picked without replacement from {o: 5, r: 1, d: 5, w: 2, g: 3}. What is prob of picking 2 r, 1 w, and 1 d? 0 Calculate prob of picking 1 h, 1 k, and 2 g when four letters picked without replacement from {j: 3, k: 1, g: 12, p: 2, h: 1}. 11/646 Calculate prob of picking 3 d when three letters picked without replacement from dwdnnnnnnwdnndndd. 1/34 Two letters picked without replacement from {o: 1, a: 1, v: 2, l: 1, h: 2, j: 1}. Give prob of picking 1 h and 1 v. 1/7 Calculate prob of picking 2 u when two letters picked without replacement from {t: 7, u: 3, s: 2}. 1/22 Four letters picked without replacement from etltlehh. Give prob of picking 2 l and 2 h. 1/70 Three letters picked without replacement from aeaajataaaaaaveaevaz. What is prob of picking 2 e and 1 j? 1/380 Two letters picked without replacement from {l: 7, j: 6, i: 6}. What is prob of picking 2 j? 5/57 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from fddvddenmdee. 1/22 What is prob of picking 2 p and 1 i when three letters picked without replacement from {i: 1, j: 1, p: 2}? 1/4 Three letters picked without replacement from ikiikiki. Give prob of picking 3 k. 1/56 Three letters picked without replacement from iiiiiiiiiiiijiijjiij. Give prob of picking 1 i and 2 j. 8/95 Two letters picked without replacement from ccwfcwccccwwcfcc. What is prob of picking 2 w? 1/20 Two letters picked without replacement from {x: 1, e: 8, n: 1, b: 9}. What is prob of picking 1 n and 1 e? 8/171 Three letters picked without replacement from {f: 2, d: 2, a: 1, z: 1, m: 1, h: 2}. Give prob of picking 1 z, 1 h, and 1 m. 1/42 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {u: 2, b: 1, v: 1, x: 1, m: 1, n: 1}. 1/21 What is prob of picking 2 w, 1 v, and 1 q when four letters picked without replacement from wwwqqvqwvqqqwq? 20/143 Four letters picked without replacement from {k: 18, w: 1, z: 1}. Give prob of picking 1 w and 3 k. 16/95 What is prob of picking 1 i and 1 c when two letters picked without replacement from {u: 2, i: 2, c: 8, r: 3}? 16/105 Two letters picked without replacement from sbesjksbeeebes. What is prob of picking 1 b and 1 s? 12/91 Calculate prob of picking 1 j and 3 i when four letters picked without replacement from {i: 9, j: 7}. 21/65 What is prob of picking 2 k and 1 i when three letters picked without replacement from {q: 3, z: 6, k: 3, i: 1}? 3/286 What is prob of picking 4 d when four letters picked without replacement from ddddddee? 3/14 What is prob of picking 1 f and 1 v when two letters picked without replacement from {w: 2, v: 5, f: 4}? 4/11 Calculate prob of picking 2 f when two letters picked without replacement from {f: 8, u: 3}. 28/55 Calculate prob of picking 4 z when four letters picked without replacement from zzmzmzzzz. 5/18 Calculate prob of picking 1 o and 1 r when two letters picked without replacement from oqgtmorgroqgoggqrgr. 16/171 Four letters picked without replacement from qqqhhqqqq. What is prob of picking 3 q and 1 h? 5/9 Calculate prob of picking 1 j, 1 r, and 1 s when three letters picked without replacement from {m: 1, j: 1, s: 1, r: 2, u: 3, a: 3}. 2/165 Four letters picked without replacement from {b: 3, q: 2, w: 2, e: 3, r: 3}. What is prob of picking 1 b, 2 r, and 1 e? 27/715 Calculate prob of picking 2 m when two letters picked without replacement from {g: 2, x: 2, q: 1, c: 1, m: 2}. 1/28 Three letters picked without replacement from vunnivnniuucus. Give prob of picking 1 s and 2 n. 3/182 Four letters picked without replacement from {c: 5, h: 1, x: 2, j: 1, l: 10, z: 1}. What is prob of picking 1 z, 1 c, and 2 x? 1/969 Four letters picked without replacement from {n: 1, b: 3, l: 1, c: 3, y: 2, q: 3}. Give prob of picking 2 q, 1 c, and 1 y. 18/715 Three letters picked without replacement from twxibss. What is prob of picking 1 w, 1 s, and 1 b? 2/35 Four letters picked without replacement from {y: 8, w: 4, t: 1}. What is prob of picking 1 y, 1 t, and 2 w? 48/715 Three letters picked without replacement from ljjlljljsrlrrl. Give prob of picking 1 s, 1 l, and 1 j. 6/91 Calculate prob of picking 2 k and 1 u when three letters picked without replacement from okzkjcu. 1/35 What is prob of picking 4 y when four letters picked without replacement from rryrryyyreryyryree? 7/612 Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrr. 1 Two letters picked without replacement from {w: 2, z: 6, d: 3, x: 1, u: 3}. Give prob of picking 1 d and 1 w. 2/35 Three letters picked without replacement from {y: 1, v: 3, w: 1, x: 1, k: 1}. What is prob of picking 1 k, 1 y, and 1 w? 1/35 Four letters picked without replacement from mggggmmggmggggmg. What is prob of picking 4 g? 33/182 Two letters picked without replacement from smswtiwwwmim. What is prob of picking 2 i? 1/66 What is prob of picking 1 i and 1 y when two letters picked without replacement from {y: 1, i: 2, n: 6, t: 1, c: 3}? 1/39 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {x: 2, r: 1, d: 1, f: 2, g: 1, l: 11}. 2/153 What is prob of picking 2 i when two letters picked without replacement from iiddddddddddijddii? 10/153 Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 7, u: 2}. 7/18 Four letters picked without replacement from ninninnnn. What is prob of picking 2 n and 2 i? 1/6 Calculate prob of picking 1 e and 1 f when two letters picked without replacement from feffeee. 4/7 Calculate prob of picking 2 f when two letters picked without replacement from flflfflffff. 28/55 Three letters picked without replacement from {r: 5, u: 7}. Give prob of picking 3 r. 1/22 Two letters picked without replacement from jfjz. What is prob of picking 1 f and 1 z? 1/6 What is prob of picking 3 a and 1 n when four letters picked without replacement from {a: 12, n: 1}? 4/13 Three letters picked without replacement from {z: 1, a: 4, j: 6, p: 2}. What is prob of picking 2 a and 1 p? 6/143 Four letters picked without replacement from {d: 1, p: 7, a: 1, c: 8}. Give prob of picking 3 p and 1 d. 1/68 Four letters picked without replacement from jjjjpjppjppp. Give prob of picking 4 j. 1/33 Two letters picked without replacement from xiool. Give prob of picking 1 x and 1 l. 1/10 Three letters picked without replacement from ddwwwwwd. What is prob of picking 1 w and 2 d? 15/56 What is prob of picking 1 j and 1 r when two letters picked without replacement from xgjgdjxxxgrgdggrr? 3/68 Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {o: 3, t: 2, x: 1, m: 4, n: 4, y: 6}. 6/95 What is prob of picking 3 z and 1 u when four letters picked without replacement from zuzuzzuzzzuzuuuz? 21/65 Calculate prob of picking 1 d and 3 i when four letters picked without replacement from {r: 2, b: 1, i: 3, d: 2, e: 4}. 2/495 Two letters picked without replacement from {t: 4, f: 7, l
{ "pile_set_name": "DM Mathematics" }
7.4 + p. Which is the smallest value? (a) 0 (b) -5 (c) n b Let k = 287/717 - 16/239. What is the biggest value in -152, -2/5, k? k Let d = 5 - 0. Let k = -2 - 2. Let s be 3 - (65/15 - 2). Which is the third smallest value? (a) s (b) k (c) d c Let y = 71 + -74. Let z be (6 - 3)*(4 - 8)/(-12). Which is the second smallest value? (a) -1 (b) y (c) z (d) 11 a Let h = -2.5 - 3.1. Let u = h - -3.6. Which is the third biggest value? (a) -0.2 (b) u (c) 1/3 (d) -3 b Let l = -5.8 - 19.2. Let p = l - -32. Which is the second smallest value? (a) -0.3 (b) -2 (c) p a Let i = -3.86 - -3.79. What is the biggest value in 1, 4, -27, i? 4 Let k be 1144/1092 + 4/14. Let w = -0.2 + 0.7. Let v = w - 0.3. What is the second smallest value in v, k, -5? v Let t be 91 + -92 - (-7)/5. What is the second smallest value in 0.2, 384, t? t Let q be 1*((-1)/9 - 12/135). Which is the second smallest value? (a) 1/114 (b) q (c) 3/7 a Let f = 398 + -399. Which is the third biggest value? (a) -10 (b) -8 (c) f a Let i = 22.58 - 0.58. Let m = 0.8 + -19.8. Let h = m + i. What is the third smallest value in h, 2, -1/6? h Let n(b) = -b**3 + 8*b**2 + 11*b - 15. Let y be n(9). Suppose -7 + 34 = y*c. What is the second biggest value in c, 0.3, -0.4? 0.3 Let v be 0 - (133/15 + -9). What is the third biggest value in v, -291, 0? -291 Let j = -2151 - -2149. Which is the second smallest value? (a) 24 (b) 6 (c) j (d) 1 d Let i be ((-4)/5)/(1/1). Let f = -25 + 58. Let g be -2 + 3 + (-93)/f + 2. Which is the second smallest value? (a) 0.5 (b) i (c) g c Let o = 72.52 + -73.52. Let g = 0.3 - 0.4. Let d = 11 + -16. Which is the third smallest value? (a) d (b) g (c) o b Let j = -217 - -217.1. What is the second biggest value in j, 3, -20/23? j Let z = 0.107 + -0.087. Which is the third smallest value? (a) 3 (b) z (c) -4 (d) -2/9 b Let f = -190.94 + 194. Let n = f + -0.06. Suppose 0 = 4*l + 170 - 166. What is the biggest value in -2, n, l? n Suppose 2*d - 4*d - 112 = 5*y, 2*y - 5*d = -68. Let o be y/(-56)*(-2)/3. Let k = 11 - 11.2. Which is the third smallest value? (a) o (b) k (c) -1 b Let r = -0.54 + 34.54. Let b = -44 + r. What is the third biggest value in -0.3, b, -2/13? b Let t = 1 + 3. Let b = 67/15 - 24/5. What is the second smallest value in t, 0.4, b? 0.4 Let f = 21 + -14.8. Let q = f - 6.6. Which is the biggest value? (a) 0 (b) q (c) -0.5 (d) -2/13 a Suppose -4*g + 4 + 0 = 0. Let x be 88/72 + (g - 2). Which is the smallest value? (a) 0 (b) x (c) -3 c Suppose -4*q = -8*q + 168. Let w be q/175*15/6. What is the fourth biggest value in -8, -5, 4, w? -8 Let w = 34 - 26. Let s be (w/(-20))/(3/(-45)). Which is the third smallest value? (a) 2/7 (b) -2/9 (c) s c Let z = -148 - -1481/10. Let h = -113 + 112.7. What is the biggest value in h, 1, z? 1 Let v = 44527/480 + -131/96. Let h = 91 - v. Let c = 13/2 - 43/6. What is the second smallest value in h, 5, c? h Let o = -143/1128 - -1/564. What is the second biggest value in -0.1, o, 2? -0.1 Let d = 359 - 351. What is the third biggest value in -1, d, 1? -1 Let i(o) = o + 4. Let t be i(0). Suppose -2 = -2*d - t. Let f = -0.392 - -0.592. Which is the smallest value? (a) f (b) -3/7 (c) d c Let h = 2.56 + -2.56. Which is the fourth smallest value? (a) 8/13 (b) h (c) -3 (d) 0.1 a Let z be (-10696)/1960 - 4/10 - -6. What is the second smallest value in -2, z, -3/11? -3/11 Let r = 1.328 - -7.672. Which is the third biggest value? (a) r (b) -99 (c) 0.4 b Let i = -454 + 905/2. Which is the fourth biggest value? (a) 2 (b) 8 (c) i (d) -10 d Let s = 19 + -18.6. Let g = -117.3 - -117. What is the third smallest value in g, s, 2, -0.5? s Let d = -0.091 + -3.909. What is the smallest value in 5, -1, 3, d? d Let m = 1955 + -1956. What is the biggest value in m, 49, 4? 49 Suppose -2*j - 9*y = -4*y + 42, -84 = 4*j - y. Let f(x) = -x + 1. Let b be f(0). What is the second biggest value in b, j, 5? b Let j = 0.133 - 2.133. Let s = -3.2 - -3. What is the third biggest value in 5, -5, s, j? j Let h = -1 + 0.96. Let t = -2.96 + h. Let d = -2632 + 2635. What is the third smallest value in d, 2, t? d Let v = 31 + -30.9. Let f = v - -2.9. What is the third smallest value in 0, 2/19, f? f Let k be ((-1120)/68)/(-4) + 3 + -7. Which is the third smallest value? (a) -1.5 (b) -5 (c) k c Let k = -100/9 - -112/9. Let g be 1/(-8) + 7/56. Suppose -32 = 4*h + 3*i, -2*i + g = -2*h - 2. Which is the second smallest value? (a) h (b) 1 (c) k b Let t = -545/724 - -1/362. Which is the third biggest value? (a) -2/7 (b) 55/6 (c) t c Let v = 877 + -871. Suppose 14 = -3*r + 2*i + 2*i, -6 = 2*r - i. What is the smallest value in r, 0.1, v? r Let i = -5.5 - -5. Suppose 9*h + 31 = 4. Let r = -2.6 - -0.6. What is the biggest value in r, h, i? i Suppose -13 + 8 = 5*q. Let s = -11 - q. Let v be (8/s)/((-10)/25). What is the third smallest value in 7, 5, v? 7 Let h = 4.9 + -5. What is the biggest value in 19.3, h, -1/8? 19.3 Let s be 6/(-9)*(-3 - 3). Let i(b) = b**3 - 4*b**2 - 4*b + 3. Let u be i(s). Let x = -113/3 + 38. What is the smallest value in -3/2, x, u? u Let n = 8.91 - 9. Let q = n - -0.19. Let z = -3.7 + 4. Which is the third biggest value? (a) q (b) z (c) 8 a Suppose -45 = -4*v - 37. What is the second smallest value in 0.5, 1/3, 3, v? 0.5 Let n = -14.09 + 0.09. Let t = -10 - n. Let s = 1.8 - 2. Which is the second biggest value? (a) t (b) s (c) -2 b Let t = -2009 + 2009.2. Let x = 0.1 - 0.3. Let k = x - 0.2. Which is the second smallest value? (a) t (b) -0.5 (c) k c Suppose -2*p = -6*p - 4. Let q = -73.926 - 0.074. Let c = q - -75. What is the third biggest value in p, 4, c? p Let y = -2071 - -2069. Let k = 29/4 - 15/2. Which is the second smallest value? (a) 3 (b) 0.7 (c) y (d) k d Let h = 219 - 194.7. Let z = h - 24. Let r = 0.7 + -0.2. Which is the third smallest value? (a) 0.4 (b) z (c) r c Let t = -0.201 + 0.101. Let s = -3 - -2.8. What is the second biggest value in t, s, 8? t Let z = -164.89 - -160. Let g = -0.11 + z. Let j = 6 + -6.05. Which is the second biggest value? (a) g (b) 5 (c) j c Suppose -p + 17 = 18. Let t be (-14)/2 - (p - (-6)/3). Which is the second biggest value? (a) t (b) 5 (c) 3 c Let y = 6.4 - 2.6. Let f = 4 - y. Let z = 5.9 + -0.9. Which is the biggest value? (a) z (b) f (c) -3 a Suppose 5 = 3*s + 17. Let w be (s/7)/(24/(-28)). Let d = 11 - 10.8. Which is the smallest value? (a) d (b) -2 (c) w b Let w = 0.2 + -0.2. Let k = -0.09 - -55.09. Let g = -63 + k. What is the third smallest value in -4, g, w? w Let h = 396 + -395.6. Which is the third smallest value? (a) h (b) -36 (c) -3/2 a Let b = -19.1 - -0.8. Let d = b - -18.4. Let m = 4 + -7. What is the third smallest value in m, d, -2/5? d Let q = 2/33 + 7/66. Suppose -2*y = -y. Let u = y - 1. Which is the smallest value? (a) -0.1 (b) u (c) q b Let m = 1.22 - 1.12. What is the smallest value in m, 2/19, 3/5, 0.4? m Let l be (-228)/(-280) + (-6)/10. Let z = l + 2/7. Let h = 2 + -5. What is the smallest value in z, 1/3, h? h Let b be (-2)/(-5) - 66/15. Suppose 3*u = -5*s + 42, 3*s - 21 = -u - s. Let i(h) = 3*h - 21. Let o be i(u). What is the smallest value in o, -0.5, b? b Let h = -45.4 - -41.4. What is the third smallest value in h, 0.5, -5, -1.1? -1.1 Let v be (-1)/(-4) - 1/(44/187). What is the smallest value in -0.15, 3, v? v Let o(v) = 3*v - 7. Let m be o(4). Which is the third biggest value? (a) m (b) 3/13 (c) 3/7 (d) 2 c Let f = 9 + -37. Let p = f + 26. Let v be (-1)/p*2/(-27). What is the biggest value in v, -1, 0.3? 0.3 Let f be (-3)/15 - 29/(-45). Let m = -0.04 - 5.96. Let x = 572 - 569. Which is the second biggest value? (a) f (b) m (c) x a Let w be -7 + 115/45*3. What is the biggest value in -2/11, w, 4? 4 Let h = 6.5 + -0.5. Let z = h - 9. Let x = z + 2. Which is the second smallest value? (a) 0 (b) x (c) 1 a Let q = 61/14 + -67/14. Which is the third smallest value? (a) q (b) -10 (c) 3 c Let z = 268 + -267.5. Which is the third smallest value? (a) z (b) 20/17 (c) 0.1 b Let f = 12 + -10. Let b = -1 + f. What is the biggest value in 0.3, -3/2, b? b Let x = 3 - 8/3. Let n be -1*(0 - 0) - (-8)/(-32). Which is the biggest value? (a) 0.5 (b) -1.4 (c) x (d) n a Let r be 1 - 9/(-
{ "pile_set_name": "DM Mathematics" }
165774305*j**6 + 23*j**2 - 9*j + 96169? 19892916600*j**3 What is the third derivative of 57*w**3*z**2 - 24629*w**3*z - w**3 - 81*w**2*z**2 + 13*w**2*z - 91*z**2 wrt w? 342*z**2 - 147774*z - 6 Differentiate 47861231*h**2 + 795895840 with respect to h. 95722462*h What is the derivative of 481119412*o*q - 120*q + 1651319 wrt o? 481119412*q What is the derivative of 2*m*s + 176*m - 59684504*s + 2756740 wrt s? 2*m - 59684504 What is the second derivative of 199*d*k**3 + 3*d*k**2 + 528816*d*k - 7*k**3 - 112*k**2 + 6*k wrt k? 1194*d*k + 6*d - 42*k - 224 Find the second derivative of -39577810*b**2*q**2 + b**2*q*u - 18*b*q*u - 2*b*q + 5*b - 2*q**2*u - 65*q*u - 5*u wrt q. -79155620*b**2 - 4*u What is the second derivative of 6980443*d**4 + 22136*d - 9? 83765316*d**2 What is the first derivative of -11*c*v*w**2 + c*v*w - 2*c*v - 1315*c*w**3 - 66*c + 2*v + 1207 wrt w? -22*c*v*w + c*v - 3945*c*w**2 What is the third derivative of -171735486*k**5 - 6131533*k**2 wrt k? -10304129160*k**2 What is the second derivative of 3*t**3*z**2 - 684072989*t**3*z - 25595*t**2*z**2 + 3993*t*z**2 wrt z? 6*t**3 - 51190*t**2 + 7986*t What is the second derivative of 731522*s**3 - 5689166*s? 4389132*s Differentiate u**3 + 3153689*u - 14256841 with respect to u. 3*u**2 + 3153689 What is the third derivative of -p**3*x**2 - 2085114*p**3 - p**2*x + 11*p**2 - p*x**2 + 1778*p*x wrt p? -6*x**2 - 12510684 Differentiate 317*i*x + 16089744*i - 793*x with respect to x. 317*i - 793 What is the second derivative of 92*d**4 - 8834*d**2 + 2335312*d - 2? 1104*d**2 - 17668 What is the second derivative of -10881698*m*z**2 - 3436*m*z + 16*m - z - 1 wrt z? -21763396*m Find the first derivative of -2*i**4 - 694*i**2 - 991*i - 2535155. -8*i**3 - 1388*i - 991 Find the second derivative of 258598*m**2*o**4 - 2*m**2*o - 1800006*m*o + 51*o**5 - 2*o - 1 wrt o. 3103176*m**2*o**2 + 1020*o**3 What is the third derivative of 15*o**6 + 3390*o**5 - 251*o**3 + 546*o**2 - 13286? 1800*o**3 + 203400*o**2 - 1506 What is the second derivative of -120394*b*r**3 - b*r**2 - b*r + 7970*b + r + 114 wrt r? -722364*b*r - 2*b Find the first derivative of -6552*i**2*w + i**2 + 930*p*w + 6018667*p wrt w. -6552*i**2 + 930*p What is the third derivative of -166233935*d**5*o + 2*d**2*o + 151147*d**2 - 9*d*o + 2*d + 2*o + 1 wrt d? -9974036100*d**2*o What is the derivative of 25592084*h**2 - 843153758 wrt h? 51184168*h What is the second derivative of 253039002*t**3 + 337*t + 117761 wrt t? 1518234012*t Find the first derivative of -47713131*j**2 + 7858460 wrt j. -95426262*j What is the third derivative of 84018847*h**4 - 67255533*h**2? 2016452328*h What is the second derivative of -2*t**4 + 6548260*t**3 + 10202196*t wrt t? -24*t**2 + 39289560*t What is the second derivative of -44*t**3 - 1284442*t**2 + 4*t - 15014847 wrt t? -264*t - 2568884 What is the second derivative of -3185*b**3*j**2*z**3 + b**3*z**2 + 4*b**2*j*z**3 + 118*b*j*z**3 - 2149*j**2*z**3 + 2*j*z**3 + 3*j*z**2 - 5*z wrt j? -6370*b**3*z**3 - 4298*z**3 What is the second derivative of 2*g**2*z**2 + 605*g**2*z + 2579*g**2 - 17025*g*z**2 - 58*g*z wrt g? 4*z**2 + 1210*z + 5158 What is the third derivative of -3192*v**2*z**4 + 73*v**2*z**2 - 101*v*z**4 + 17207*v*z**2 wrt z? -76608*v**2*z - 2424*v*z What is the third derivative of -j**5*y**3 + 39804627*j**3*y**3 + 2*j**2*y**3 + 3395*j*y - 232*y**3 wrt j? -60*j**2*y**3 + 238827762*y**3 Find the first derivative of -40767970*x**3 - 2*x**2 - 7*x - 630226576. -122303910*x**2 - 4*x - 7 Find the second derivative of -9549728*b*v**2 + b*v + 1302*b + v + 2 wrt v. -19099456*b Differentiate -v**3 + 4436066*v**2 + v - 560303199 with respect to v. -3*v**2 + 8872132*v + 1 Find the third derivative of 30085851*u**6 - u**2 + 178451*u wrt u. 3610302120*u**3 Find the second derivative of -7045859*i**4 - 5853236*i wrt i. -84550308*i**2 What is the second derivative of 15033675*d**5 + 112236878*d wrt d? 300673500*d**3 What is the third derivative of -975*n*o**3 + 3*n + 10*o**5 + 4021*o**3 + 87095048*o**2 wrt o? -5850*n + 600*o**2 + 24126 What is the second derivative of 369397510*v**5 + 103667417*v? 7387950200*v**3 Differentiate -12817435*l**2 - 9*l - 343965534. -25634870*l - 9 Find the second derivative of -3089*a**4*u**2 - 1543*a**3*b*u - 43*a*b*u - 961*a*b - 9*b*u**2 wrt a. -37068*a**2*u**2 - 9258*a*b*u What is the second derivative of 39801715*i**4 + 2*i**3 - 155959707*i? 477620580*i**2 + 12*i What is the derivative of 69759595*d**4*y - 5*d**4 - 959101198*y wrt d? 279038380*d**3*y - 20*d**3 Find the third derivative of 27785437*p**6 - 28878478*p**2. 3334252440*p**3 What is the derivative of -5*b**4 + 2204853*b**2 - 121562529 wrt b? -20*b**3 + 4409706*b What is the first derivative of 15199*w**3 + 8*w**2 - 6*w - 10541775 wrt w? 45597*w**2 + 16*w - 6 What is the third derivative of -22172845*w**6 + 56714898*w**2 wrt w? -2660741400*w**3 What is the third derivative of -65*b**3*y**3 - 7*b**3*y + 434*b**3 - 6880*b**2*y**3 - 452*b**2 + 2*y**3 wrt b? -390*y**3 - 42*y + 2604 What is the first derivative of 364043169*q**4 - 58759746? 1456172676*q**3 Find the second derivative of 2*a*n**3*p**3 + 2406*a*n**2 - 552*a*p**2 - 8*n**3 - n*p**2 - 6416*p**3 wrt n. 12*a*n*p**3 + 4812*a - 48*n Find the second derivative of -79139125*j**3 + 5756069*j wrt j. -474834750*j What is the second derivative of -2264*v**3 - 1387*v**2 + 31936638*v wrt v? -13584*v - 2774 Find the first derivative of -456498*v**4 - v**2 + 3*v + 6413917. -1825992*v**3 - 2*v + 3 What is the first derivative of -5*a**3 - 14*a**2 - 6720*a - 6971066 wrt a? -15*a**2 - 28*a - 6720 What is the third derivative of 110*o**4*u + 682*o**4 + o**3*u - 10*o**3 - 1884*o**2*u - o**2 - 4*o + 2*u - 4 wrt o? 2640*o*u + 16368*o + 6*u - 60 What is the first derivative of -15*g**2*w**3 - g**2*w**2*z + 39201*g*w**2 + 3*g - 40831615*w**3*z + 4*w wrt z? -g**2*w**2 - 40831615*w**3 Find the first derivative of 7*t*z**3 + 288*t*z + 14575488*t + 88*z**3 wrt z. 21*t*z**2 + 288*t + 264*z**2 Find the second derivative of -1973*q**3*z - 1445*q**3 - 71270591*q*z wrt q. -11838*q*z - 8670*q What is the second derivative of 16216284*g**2*l**2 - 35*g**2*l - 2*g**2 + 12*g*l + 81*g + 1 wrt l? 32432568*g**2 Find the second derivative of -45815223*o**3 + 3*o**2 - 155066705*o. -274891338*o + 6 What is the second derivative of 50088312*t*v**3 - 155660*t*v - 13*v wrt v? 300529872*t*v What is the second derivative of -40*c*j**2 - 2456*c - 20595*j**2 - 217*j - 1 wrt j? -80*c - 41190 What is the second derivative of -49906*y**5 - 98*y**3 - 3281733*y + 5 wrt y? -998120*y**3 - 588*y Find the third derivative of 40050983*x**6 - 27*x**2 + 36613*x - 8. 4806117960*x**3 Find the third derivative of 27118491*q**3*w**3*y - 7*q**3*w**3 - 756*q**3*w**2*y - 21*q**2*w + 25*q*w**2 - 121*q*w*y wrt w. 162710946*q**3*y - 42*q**3 What is the third derivative of 1702*s**5 + 67630*s**3 - 8*s**2 - 1353527*s - 6? 102120*s**2 + 405780 Find the third derivative of 57381*v**5 - 138*v**3 - v**2 + 14362966. 3442860*v**2 - 828 Differentiate -2*m*r**2 + 63557*m*r + 3*m + 2*r**2 - 6063711*r wrt m. -2*r**2 + 63557*r + 3 What is the third derivative of 36*l**4 - 609140*l**3 + 25294165*l**2? 864*l - 3654840 Differentiate -39368*d*o**3 + d*o**2 + 98*d*o - 5*d + 68290810*o**3 with respect to d. -39368*o**3 + o**2 + 98*o - 5 Find the first derivative of -g**3 - 61359*g**2 + 45*g + 100062025 wrt g. -3*g**2 - 122718*g + 45 Find the third derivative of -2*j**5 - 12977*j**4 - 8*j**3 + 40*j**2 - 849*j - 313. -120*j**2 - 311448*j - 48 What is the third derivative of 251195788*v**3 + 212447045*v**2? 1507174728 What is the second derivative of -67*c**3 - 505363*c**2 - 3158056*c + 17 wrt c? -402*c - 1010726 What is the second derivative of 719851*d**2 - 15035256*d wrt d? 1439702 Find the third derivative of -1510636890*o**3 + 1048232729*o**2. -9063821340 What is the second derivative of -6*m**3*v**2 + 9*m**3 - 28661*m*z - 212257*v**2*z - 2*v wrt v? -12*m**3 - 424514*z Find the third derivative of -6015*w**4 + 813*w**3 + 31*w**2 - 5408*w - 3. -144360*w + 4878 Find the second derivative of -142171786*j**3 - 441745*j + 57 wrt j. -853030716*j Find the second derivative of 1341*a**5 + 209*a**3 - 8293231*a. 26820*a**3 + 1254*a Differentiate -4*q**4 - 16763*q**3 - 301*q**2 - 25
{ "pile_set_name": "DM Mathematics" }
*2). 80*sqrt(17) + 34009 Simplify (-3*(sqrt(700) - (-1 + sqrt(700))) + (-2 + -1 + sqrt(700))**2 - (6*(-1 + sqrt(700)) - sqrt(700) - (-4 + (0 + sqrt(700) - sqrt(700))))**2)*5. -83990 + 700*sqrt(7) Simplify 3 + (((sqrt(243)/(sqrt(27)/sqrt(3)) - sqrt(27))/(sqrt(1089)*-2))**2 - (sqrt(432) - -1*sqrt(432))*-4). 3 + 96*sqrt(3) Simplify (-1*-2*(4 + sqrt(75) + 2 + 4))**2 + -1 + 1. 400*sqrt(3) + 700 Simplify 2 + -5*(-4 + ((-1*sqrt(288) + -2 - sqrt(288)) + -4 + -6*(sqrt(288)*1 + sqrt(288) - sqrt(288))*6)**2). -2079518 - 27360*sqrt(2) Simplify ((5 + -1 + sqrt(175))*-1 + ((sqrt(175) + 0)*-6 + sqrt(175))*4 + -1)*4. -420*sqrt(7) - 20 Simplify ((-1 + sqrt(3))*2 + sqrt(3) + sqrt(6)/sqrt(2) + -1 + (5 + -1*sqrt(3))**2 + -2)*-2*-4. -48*sqrt(3) + 184 Simplify (-3 + 0 + (sqrt(2) + -2 + sqrt(8) - sqrt(2)) + 4)**2 + (-5*((sqrt(12)/sqrt(2))/sqrt(3) + 5) + 5)**2. 196*sqrt(2) + 459 Simplify -1 + (-4 + sqrt(96)/sqrt(3) + (sqrt(16)/sqrt(2))/sqrt(4))**2 + 3 + (sqrt(242) - (sqrt(242) + (sqrt(242) - (1 + sqrt(242))))**2*1 - sqrt(242)). -175 - 18*sqrt(2) Simplify 2 + ((sqrt(176) - (-1 + sqrt(176) + 1)) + sqrt(176) + 1 + 1)**2 - -3*(((sqrt(176) + 1)*-3)**2 + -2). 232*sqrt(11) + 4955 Simplify -3 + (sqrt(195)/(sqrt(5)*2) - -4*sqrt(975))/((sqrt(270)*-1)/sqrt(360)). -41*sqrt(13) - 3 Simplify (sqrt(48)*6)/(sqrt(18)/sqrt(48)) + 1 + 5*(-4 + sqrt(128) - sqrt(128))**2. 48*sqrt(2) + 81 Simplify (-4*(((sqrt(65) - (sqrt(65)*1 + sqrt(65)) - sqrt(65))*3)/((sqrt(15) + sqrt(15)*2 + sqrt(15))/sqrt(3)))**2*3 + 5)*-5. 1730 Simplify ((sqrt(91) - (2*sqrt(91) + sqrt(91) + sqrt(91))*-2)/(-2*sqrt(448)) + -6*(4 + sqrt(13) + 3*(-1 + sqrt(13)))*-1)**2. 1125*sqrt(13)/4 + 1837341/256 Simplify -3 + ((sqrt(45) + -1*(sqrt(45) + sqrt(405)))/(2*sqrt(729) - sqrt(9)) - ((1*sqrt(2450) - sqrt(2450) - sqrt(2450))/(sqrt(90)*4))**2). -677/144 - 3*sqrt(5)/17 Simplify ((((2*sqrt(84))/sqrt(4) - sqrt(84)/(sqrt(4)*1 + sqrt(4)))*-3)/((sqrt(15) + (sqrt(960) - -1*sqrt(960)))/(sqrt(5) + sqrt(40)/sqrt(128))))**2. 14175/18496 Simplify 3 + 2*-1*(sqrt(2) - (sqrt(6)/sqrt(3) - sqrt(2))) + -2 - ((sqrt(216)/sqrt(108))/(sqrt(54)/(sqrt(6)*-2)) + -2)**2. -14*sqrt(2)/3 - 35/9 Simplify (-4 + sqrt(24)/(-1*sqrt(32)))**2 + (sqrt(9)/(5*sqrt(12)) + 0)**2. 4*sqrt(3) + 839/50 Simplify (4*3*sqrt(112) - (-3 + sqrt(7)*2)**2*-2)*4. 96*sqrt(7) + 296 Simplify ((sqrt(65) + sqrt(65)*5)*-6 + sqrt(65) + sqrt(65)*-4*-2 + sqrt(65) + sqrt(65))/(sqrt(5) + ((sqrt(150)/sqrt(3))/sqrt(10) - sqrt(5)) - 4*1*sqrt(5)). 25*sqrt(13)/3 Simplify (-5*2*(-5 + -5*-1*sqrt(98) - -1*(sqrt(98) + -1 + (sqrt(98)*2 - sqrt(98)) + sqrt(98) - sqrt(98)))*-1)**2. -58800*sqrt(2) + 483800 Simplify -2*((1*(2*sqrt(7))**2 - (sqrt(21)/sqrt(3)*1)**2) + 5 - (1 + sqrt(1008) + (sqrt(7) - -1*(sqrt(7) + 0)) + -5)). -60 + 28*sqrt(7) Simplify ((-1*sqrt(171)*2 + sqrt(171))/((sqrt(36) + sqrt(576))/sqrt(4)) - (-4*(sqrt(209) - sqrt(209)*-1) + sqrt(209))/(-2*1*sqrt(11)))**2 + -4 + 1. 25711/100 Simplify (-2 + ((sqrt(264) + (3*sqrt(264)*-4 - sqrt(264)))/sqrt(11))/((sqrt(392) - 2*sqrt(392)) + sqrt(392) + (sqrt(16) + -2*sqrt(16) - sqrt(16))/sqrt(2)))**2. -24*sqrt(3) + 112 Simplify -1*(-3*(3*sqrt(425) + -5) + -2*sqrt(425)*-5*-2)**2. -357650 + 4350*sqrt(17) Simplify (5*(4*(sqrt(66) + -1*sqrt(66)) - sqrt(66))*-6)/(6*1*sqrt(600) + -2*sqrt(600)*1). 3*sqrt(11)/4 Simplify -1*((-1*sqrt(84)/sqrt(6) + sqrt(14))*-2)/(sqrt(1008)/sqrt(9) - sqrt(77)/(-2*sqrt(11)))*-4. 0 Simplify 2 + ((sqrt(80) - (-3*-2*sqrt(80))**2) + 2*sqrt(80) + 1 - ((sqrt(80) - (3*(sqrt(80) - -1*sqrt(80)) - sqrt(80)))**2 + sqrt(80) + 4)) + -5. -4166 + 8*sqrt(5) Simplify -4 + ((-3*sqrt(36)/sqrt(2))/sqrt(3))/((-5*sqrt(288))/sqrt(9))*-5. -4 - 3*sqrt(3)/4 Simplify (sqrt(76)*1*5 + (sqrt(76) - 4*(sqrt(76) - -2*sqrt(76))))/(3*sqrt(16)*1) + -4. -sqrt(19) - 4 Simplify (4 + ((sqrt(720) + sqrt(720) + sqrt(720) + 0 - sqrt(5)) + -5)**2 + (-1 + sqrt(5)*3 - -3*sqrt(10)/sqrt(2)))*4. -1376*sqrt(5) + 24612 Simplify ((-2*sqrt(1008)*4)**2*1 - (1*sqrt(1008) + -1 - (2 + sqrt(1008)*2 + sqrt(1008))**2))*3. 396*sqrt(7) + 220767 Simplify (2 + -2*sqrt(425) + -1 + (4 + sqrt(425)*1 - sqrt(425)) - 5*(-1*(sqrt(425) + -1) + (0 + sqrt(425))*2))**2. 20825 Simplify (-1*sqrt(5500) - (sqrt(495)/sqrt(225) + sqrt(55)))/((sqrt(99) - (6*-1*sqrt(99) - sqrt(99)))/(sqrt(9)*-2*4)). 56*sqrt(5)/5 Simplify (sqrt(352)*3)/(sqrt(2) - (sqrt(72) - sqrt(2))*5) - ((sqrt(11) - (sqrt(1100) + -1) - (sqrt(11) + 2*sqrt(1584)))**2 - -6*(sqrt(22)/sqrt(2) + -3)). -12699 + 123*sqrt(11)/2 Simplify ((sqrt(672)*6)/(sqrt(6) + -3*sqrt(24)))**2 - (sqrt(280)/(sqrt(32)/sqrt(4)))/(-1*sqrt(405)). sqrt(7)/9 + 4032/25 Simplify (sqrt(96)/(sqrt(6) - (sqrt(6) - sqrt(72)/(sqrt(12)*3)))*5)/(2*2*sqrt(800)*3). sqrt(2)/8 Simplify (1*-2*sqrt(88) - (sqrt(88) - (sqrt(88) - sqrt(88)*-1)*2 - sqrt(88)))/(sqrt(72)*-4 - (-6*sqrt(16)/sqrt(2) - sqrt(8))). -2*sqrt(11)/5 Simplify -2 + 6*sqrt(275) + sqrt(22)/sqrt(2)*-2 + -5 + ((sqrt(198) - sqrt(198)*1 - sqrt(198) - sqrt(198))/((sqrt(6)/sqrt(3) + sqrt(2))*1))**2. 92 + 28*sqrt(11) Simplify -5*(2 + 1 + (0 + sqrt(847))*-1 - (-3 + -2*(sqrt(847) - 2*sqrt(847)) + sqrt(847))*2)**2. -207920 + 6930*sqrt(7) Simplify ((((sqrt(475) - -1*sqrt(475))*1 + 2)*2*2 + 5)*-3*-3)**2. 84240*sqrt(19) + 2476089 Simplify 2*6*((sqrt(1584) + sqrt(1584) + sqrt(1584) + -4*sqrt(1584)*2 + 2 + sqrt(1584) + -2)*-1 + -5)**2. -5760*sqrt(11) + 304428 Simplify (((sqrt(540)*2 - sqrt(540))/sqrt(9))/sqrt(10))/((sqrt(288)/sqrt(2))/sqrt(3))*-2. -sqrt(2)/2 Simplify -6*(2*sqrt(700)*-3*4 + ((1 + sqrt(700))*4 - sqrt(700) - sqrt(700)) + (sqrt(700) + 0)*1)**2. -1852296 + 10080*sqrt(7) Simplify 5 + (sqrt(1008)*2 + sqrt(1008) + 0 - (sqrt(1008) + sqrt(1008) + -4*(sqrt(1008) + (sqrt(1008) + -1)**2))) + 1 + 4 + sqrt(1008)*-2. -60*sqrt(7) + 4046 Simplify ((2*sqrt(280)*-4)/(sqrt(63)/(sqrt(27)/sqrt(3)) + sqrt(7)))/(sqrt(128)*-4 - (sqrt(80)*1 - sqrt(80))/sqrt(10)). sqrt(5)/4 Simplify (3*(sqrt(500)*2 - sqrt(500))*-5)**2 - ((sqrt(385)/(2*sqrt(7)))/(sqrt(11)*2*2))**2. 7199995/64 Simplify (-4*6*(sqrt(209) - 2*-2*sqrt(209) - sqrt(209)))/((sqrt(1078)*-2)/(sqrt(128)*-1)). -384*sqrt(19)/7 Simplify (3 + -4*(5 + (sqrt(475) - sqrt(475)*2) + 2 + 1 + -2))**2. -840*sqrt(19) + 8041 Simplify 0 + ((5*(sqrt(75) + 2) - (1 + (2 + sqrt(3)*-1 - sqrt(3)))) + 0)*-2. -54*sqrt(3) - 14 Simplify 0 + (sqrt(252)/(sqrt(81)/sqrt(9)))**2 + sqrt(84)/(sqrt(588) - -3*sqrt(588)). sqrt(7)/28 + 28 Simplify (((sqrt(57) - (sqrt(57) - -1*sqrt(4617)))*3)/((sqrt(42)/sqrt(2))/sqrt(7) - (sqrt(192) + sqrt(192) + sqrt(192)*1)))**2. 13851/529 Simplify -4 + -1*(-2 + sqrt(288) + sqrt(288) + 2 + -4)*6. -144*sqrt(2) + 20 Simplify (2*sqrt(14)*-1 + sqrt(14) - -5*(sqrt(224) + sqrt(14)))/(3*sqrt(2)*-2 - (sqrt(288) + sqrt(288)*-2))*-3. -12*sqrt(7) Simplify 6*((1*(sqrt(468) + -4)*-6 - (4 + sqrt(468) + sqrt(468) + ((-3 + sqrt(468))**2 - sqrt(468)) + 3)) + 4). -2736 - 36*sqrt(13) Simplify (-2 + (sqrt(1573) + 1*sqrt(1573) + 2 + -2)**2 - (6*(0 + sqrt(1573) + -4)*-1)**2) + -4. -50918 + 3168*sqrt(13) Simplify -6*((1 + sqrt(1539) + -4 + -4 - (0 + (sqrt(1539) + sqrt(1539) + 2)*-3 + sqrt(1539) + sqrt(1539)))*1)**2. -230856 + 540*sqrt(19) Simplify -4 + sqrt(19) + ((sqrt(38)*2)/sqrt(2))**2 + (sqrt(2299)*1*5)**2 + (sqrt(304) + -1)*1 + (1*sqrt(931) + sqrt(931) + -4)**2. -107*sqrt(19) + 61286 Simplify ((sqrt(130)/sqrt(10) - sqrt(13))*2 - (-2*sqrt(468))**2) + (sqrt(1300) - -4*-3*sqrt(1300))*-3. -1872 + 330*sqrt(13) Simplify (0 + (sqrt(55)/sqrt(5)*5 + (sqrt(539) - sqrt(539)*2 - sqrt(539)) - (1*sqrt(539) + 3))**2)*-4. -11300 - 384*sqrt(11) Simplify -5 + 5 + (6*5*-3*sqrt(228))/(sqrt(24)/(sqrt(2) + sqrt(2)*3)*-3). 120*sqrt(19) Simplify (-3 + 6*(-4 + -3*sqrt(8)) - ((4 + -1 + sqrt(2))*-2 - 6*-1*sqrt(200)))**2. 3948*sqrt(2) + 18113 Simplify 6*(((sqrt(170) - (sqrt(170)*1*-4 - sqrt(170)) - sqrt(170)) + sqrt(170))/(sqrt(20)/sqrt(2)*5) + 3 + (sqrt(170)/(3*sqrt(90)))**2). 520/27 + 36*sqrt(17)/5 Simplify (-2 + ((3*(sqrt(200) - sqrt(200)*-1) - sqrt(200)) + 1 - sqrt(200)*-3*-2*5))**2*-1. -125001 - 500*sqrt(2) Simplify (3*sqrt(143)*-1 + sqrt(143) + 5*-1*sqrt(143))/((-3*(sqrt(99) - (sqrt(99)*2 - sqrt(99))) - sqrt(99))*5)*1. 7*sqrt(13)/15 Simplify (0 + (sqrt(171)*-2)/sqrt(9) + -5 + (sqrt(38)/sqrt(2)*5 - sqrt(133)/(sqrt(7) + sqrt(7) + sqrt(700))))**2 + 2. -175*sqrt(19)/6 + 27163/144 Simplify (-3*(-5*(1 + sqrt(1100) - sqrt(1100))*4 - ((sqrt(1
{ "pile_set_name": "DM Mathematics" }
38, 0 = -2*m + 2*q - 6. Suppose -3*g + 5*x = -7, 2*x - x - m = 4*g. Which is smaller: g or -1/14? g Let v = -297 - -4161/14. Suppose -3*d - 825 = -3*u, 4*u - 5*u - 3*d + 287 = 0. Let t = u - 277. Is v smaller than t? True Suppose 2*l + 0*b + 3*b = 0, 0 = -l + b. Suppose -4*n - n - 60 = l. Is -13 greater than n? False Suppose 31*w + 6649 + 41897 = 0. Is -1566 not equal to w? False Let p(n) = n**3 - 20*n**2 - 12*n - 14. Let f be p(18). Let a = f - -1389. Which is smaller: a or 510? 510 Let w be (-184)/(-40) + -5 - 13/5. Let l be (-1)/w + 26/(-6) + 2. Is l smaller than 3? True Let c be 1260/2170 + (-3)/5. Suppose -4*j - 6 = 2*j. Is c equal to j? False Suppose -43*m = -7790 - 3536 + 68860. Which is smaller: -1340 or m? -1340 Let r = 3647.599 - 3649. Is -1 at least as big as r? True Let n(f) = -f**2 - 5*f + 14. Let m be (2 + 1)*(14/3)/7. Let l(g) = -g - 5. Let p be l(m). Let j be n(p). Is 0 < j? False Let i be ((-12)/10)/(2224/3730 - 372/620). Is 321 at most i? False Let v be ((-12)/4 + 18)*2/6. Suppose -4 = -r + 1, r + 5 = -v*o. Is o less than -3.9? False Suppose -2*n + 11*r = 14*r, 4*n - 5*r = 0. Which is smaller: n or -48/107? -48/107 Let x = 253 - 2027/8. Let h be -1 + ((-2)/(-12))/((-5)/(-30)). Suppose -2*k - 4 = 3*n, h = -3*n - n + 5*k + 10. Does n = x? False Suppose 0 = 3*h - 4*h + 2*l + 4, 34 = h + 4*l. Let d be ((-16)/h - -1)/((-3)/6). Which is greater: d or 0.281? d Suppose 4864*l + 54 = 4891*l. Which is smaller: l or 15/26? 15/26 Let g be 1/(3*-4*(-2)/48). Suppose -3*q - 4*z = -q - 2, 5*q = g*z + 41. Let s(c) = -c**2 + 7*c. Let j be s(5). Is q equal to j? False Let n be (-1)/(-7)*-2 - 25/((-5425)/(-6448)). Suppose 0*i - 52 = 2*i. Is n at least i? False Let n be (407/(-2090))/(420/25 - 12). Which is greater: -1 or n? n Let p(n) = n**3 + 18*n**2 - 14*n - 44. Let d be p(-19). Let f = 165 + d. Suppose f = 3*s + 23. Is s at least as big as 3/10? True Let b(k) = k**2 - 5*k. Let i be b(4). Let p be i*((-33)/(-12) + -3) - -2. Suppose -2*j - p + 1 = 0. Is 3/17 less than j? False Suppose -58*y - 30 = -53*y. Let k(x) = -x**3 - 5*x**2 + 8*x + 7. Let i be k(y). Are -9/5 and i unequal? True Let f be (-8204)/105 - -4 - (-20)/(-450)*-3. Suppose 0 = 4*c - 9*c - k - 358, -k = -5*c - 362. Which is greater: c or f? c Let t = 18.3 - 20.7. Is -49 at least t? False Let b = -0.0227 + 0.1227. Do b and 7/1578 have the same value? False Let q(w) = -14*w**3 + 6*w**2 + 5*w - 10. Let b be q(2). Does -74 = b? False Let r = 11 - 22. Let j(z) be the third derivative of z**4/8 + 17*z**3/3 + 260*z**2. Let c be j(r). Which is smaller: c or -2? -2 Let n = 241.6 + -279.6. Which is smaller: 23 or n? n Let d = -24.3 + 29.4. Let z = d - 5. Which is greater: -78 or z? z Let j(z) be the first derivative of 2*z**2 - z + 23. Let n be j(1). Suppose d = -8 - n. Is -8 at most as big as d? False Let o = 134 + -43. Suppose 96*s - 140 = o*s. Which is smaller: 30 or s? s Let w = 47 + -1. Let n = 55 - w. Suppose 0 = -n*p + 8 + 1. Is p < -3/59? False Let j be (33/2)/(33/572). Let n = 287 - j. Is -1/769 at most n? True Let j = 114 + -114. Suppose v + i + 2 = j, 8*i - 3*i = 0. Which is greater: v or 0.013? 0.013 Let s = -1252 + 1258. Suppose -4*a - 9 = -125. Let x be a/(-66) - (-3)/s. Is 0 at least as big as x? False Suppose -9*v + 450 = -36. Suppose 0*q = -2*r + 2*q + v, 4*r + 2*q = 108. Let o be ((-1 - -36) + -2)/(r/(-36)). Is o <= -43? True Let f = 91 - 162. Let d be (-69)/f + (4 - 5). Suppose 27 = -3*g - 4*q, 2*q + 16 = 48*g - 52*g. Which is smaller: g or d? g Let m(f) = 5*f**2 - 2*f - 2. Let b be m(3). Let p = 22 - b. Let h be 3/p + (-352)/(-60). Is h smaller than 6? True Let k = -3788 + 208341/55. Which is smaller: 132 or k? k Let j be (3 + (-3)/6)*18/45. Let z be 75/(-3) + -12 + (-5)/j. Which is smaller: z or -49? -49 Suppose 5*f = -4*k + 15, -k + 3*k + 15 = 5*f. Let d be (-3 - f) + 3 - -3. Is d at most -1/13? False Let y = -4225 - -4310. Is 84 greater than y? False Let v = -2682.981 - -2683. Is 8/5 at most v? False Let c = 358.8 + -358.7. Are -0.8065 and c unequal? True Suppose -2*a - 89*a = -3640. Which is bigger: 43 or a? 43 Suppose 13 = 2*o - 5*t, -5*o + o = -4*t - 8. Let n = 24 - 13. Let w = n + -11. Which is greater: o or w? w Let r be (128/(-96))/(-4 + -1 + -222). Which is bigger: -0.2 or r? r Let n be 2/2*6/2. Suppose -5*u + 14 = n*z, -z + 8 = 4*u - 6. Let g(r) = -r**2 + 4*r + 1. Let x be g(u). Which is smaller: 6/47 or x? 6/47 Let y(j) = -j**3 + 3*j**2 + 19*j + 4. Let v be -1 - -4 - 105/(-35). Let p be y(v). Which is greater: p or 104/11? p Let g = -64149 + 21361616/333. Let m(a) = a**2 + 4*a - 6. Let y be m(-5). Is y <= g? True Let i = -0.1 - -1.1. Let l be 10 + 81/(-9) + 1. Let h be l/3*3*(-153 + 162). Which is smaller: i or h? i Let m(q) = -q**3 - 15*q**2 + 3*q - 15. Let k be m(3). Which is greater: -4 or k? -4 Let o(q) = q**3 - 6*q**2 + 3*q + 13. Let u = -705 - -710. Let v be o(u). Is v not equal to 55? True Let g = -793 + 794. Which is smaller: -6.329 or g? -6.329 Let v be (-459)/12*416/(-24)*2. Let x be (-30)/(-45) - 896/v. Which is smaller: -3 or x? -3 Let j be (-7)/2*((-184)/80 + 0). Is 9 less than j? False Let t(d) = 6*d**3 - 1. Let v be t(1). Let u = v + -2. Let i be (-11 - -13) + 20/u. Is i not equal to 9? True Let i(s) = 21*s + 25*s**2 + 36 - 43*s**2 + 8*s + 23*s**2. Let q be i(-7). Is 78 greater than q? False Suppose -5*n + 3*t - 117 = 0, t - 144 + 1 = 6*n. Does 2 = n? False Let p be (-10)/(-35) - (-36576)/(-28). Let c = -83826783/63826 + 9885/1358. Let t = p - c. Is t less than 0? False Let u = -251 + 257. Suppose -23 + 11 = u*o. Is -36/11 at most o? True Suppose d - 20 = 2*h + 62, -2*h - 2 = 0. Which is bigger: d or -16? d Let g be (-2)/((-381)/(-129) - 3). Let h(u) = -4*u - 22. Let m(q) = -3*q - 22. Let j(n) = 2*h(n) - 3*m(n). Let v be j(20). Does g = v? False Let n = 0.2 + 0.2. Let m = 13152/13 - 39482/39. Is m != n? True Let m be (246/(-123))/((6/24481)/3). Which is smaller: -24482 or m? -24482 Let v = -710 + 614. Which is greater: v or -89? -89 Let f = 12/31 + -146/217. Let h = -15.795 + 12.985. Which is smaller: h or f? h Let z = -0.0071 + -208.9929. Let q = z + 229. Let x = -10 - -8. Is x at most as big as q? True Let f = 78 - 76. Suppose 21*h + f = 20*h. Is h at least 1? False Let w be 3235*((-1964)/140 + 14). Which is bigger: w or -91? -91 Let i = -10715/24 - -1793/4. Is 2 smaller than i? False Suppose 0*l = x + 5*l - 22, 0 = 5*l - 15. Suppose 5*v = x*v. Suppose 2*h - 5*d + 33 = v, -2*h - 5*d = -3*h - 29. Is -3 less than h? False Suppose -15*v + 3*v + 142015 + 11249 = 0. Which is greater: -1 or v? v Let o be (-3)/(-6)*2240/(-6 - -2). Let r be 30/(7/o*6). Is 1 less than or equal to r? False Let o be (-2)/5 - (3021/(-15) - -1). Suppose 7*s = 2*s + o. Is s equal to 40? True Let h be 2/(-4) - (-339)/18*-57. Let a be (h/(-27) - 2/(-9))*-1. Let w be 16/a + 11/15. Is w less than 0? False Let c = 150.47 - 511.47. Does c = -2? False Let t(j) = 2*j**2 + 7*j - 267. Let n be t(-14). Is n != 37? True Let t be 37/3*78/5. Is 192 at least t? False Let t = 7 + -10. Let o(i) = -i**2 + 2. Let f(v) = 8*v**2 + 3*v - 8. Let c(w) = f(w) + 6*o(w). Let y be c(t). Which is greater: y or 8? y Suppose 3*r - 718*a = -713*a - 6, -8 = 4*r - 5*a. Is -273/256 greater than r? True Suppose 0*y + 8*y = 32. Let w be ((-18)/(-36))/(y/2). Is w greater than -8? True Suppose 0*a + 924 = 4*a. Let n be (-8 - (-6 - 6))*(-690)/(-12). Is a less than or equal to n? False Let r = -1238 - -1261. Let p = -4 + 9. Suppose -r = 6*o - p*o. Are o and -24 unequal? True Let l be (364 - 365) + (-11)/((-22)/(-24)) - -15. Let z(q) be the second derivative of -q**4/12 + q**3/3 - q**2 - q. Let h be z(4). Which is smaller: l or h? h Suppose -267 = 8*j - 131 - 128. Is j greater than or equal to 3/2707? False Let r be ((-299)/(-2691))/((-1)/(-9)). Which is smaller: -27/121 or r? -27/121 Let r(v) = -v**2 + 17*v + 30. Let k be r(11). Let g = 94 - k. Is g at most -25/28? True Let p be 72121/(-24059) - (-3 + 5 + -5 - 0). Are -1 and p equal? False Let b = 87805622/279 + -314716. Is -1 bigger than b? False Let u = 825/1292 + 14303125/9044. Let h = -1586 + u. Is h != 0? True Let k = 1.01 + -0.01. Let u = -30 + 596. Let o = -500 + u. Is k equal to o? False Let y(k) = -5*k**3 - 486*k**2 - 97*k - 35. Let c be y(-97). Which
{ "pile_set_name": "DM Mathematics" }
divided by 10. 9 Let n(s) = 6*s**3 + s**2 + 2*s + 1. Suppose -10 = 2*o - 7*o. What is the remainder when n(o) is divided by 15? 12 Calculate the remainder when 50 is divided by 1/2 + 210/12. 14 Let r be ((-5)/(-2))/(2/(-12)). Let t = -5 - r. Suppose 6*d - 12 = 4*d. What is the remainder when t is divided by d? 4 Let k(b) = b**3 + 4*b**2 + 8*b + 2. Calculate the remainder when k(5) is divided by 68. 63 Suppose 5*z = 4*y - 0*z + 25, 5*y + 3*z - 15 = 0. Suppose y = 5*h + 6 - 21. Suppose -17 + 80 = h*b. Calculate the remainder when b is divided by 11. 10 Suppose -5*d + 4*y + 19 = 3*y, 3*d - 10 = 2*y. What is the remainder when 6 is divided by d? 2 Suppose -5*w - g + 31 = -4*w, 0 = 2*g. Suppose 9 = -l + w. Calculate the remainder when l is divided by 12. 10 What is the remainder when 36 + -3*(-4)/12 is divided by 136/14 + 4/14? 7 Let d = -36 + 58. Suppose 3*r = 26 + d. Calculate the remainder when 45 is divided by r. 13 Let p(r) = r**2 + r - 6. Calculate the remainder when 66 is divided by p(5). 18 Suppose -2*y = -0*y. Let l = 0 + y. Suppose 2*d - 6 = -l*d. Calculate the remainder when 4 is divided by d. 1 Let i = -6 + 2. Let u(k) = -k**2 - 6*k - 6. Suppose -4*x = -16 - 8. What is the remainder when x is divided by u(i)? 0 Let k = 16 + -11. What is the remainder when 8 is divided by k? 3 Let z = 13 - 4. Suppose c = 4*o - 71, 25 = 5*o - 4*c - 72. What is the remainder when o is divided by z? 8 Suppose 0*n + 99 = -5*j - n, 4*n + 56 = -3*j. What is the remainder when 8 is divided by (-105)/j - 2/8? 3 Suppose 0*b = -3*b + 15. What is the remainder when b is divided by 4/(-6)*18/(-4)? 2 Let z(o) = 5*o - 1. Let q(w) = w**2 - 6*w + 7. Let r be q(5). Calculate the remainder when 35 is divided by z(r). 8 Let i = -1 + 6. Suppose 4*a + t - 136 = -28, -4*t = -2*a + 54. Suppose -80 = -3*n + i*f + 11, n - a = f. Calculate the remainder when n is divided by 12. 10 Let r = -8 + 7. Calculate the remainder when 1 is divided by r + 0/(-4) + 2. 0 Let k(q) = 24*q**3 - q + 1. Let i be k(1). Let n = -3 + i. Suppose 4*h = 5*y - 309, y - 2*h = -3*y + 246. Calculate the remainder when y is divided by n. 19 Suppose -2*s - 21 = -5*s. Calculate the remainder when s is divided by 2. 1 Let s = 89 + -63. Calculate the remainder when s is divided by 9. 8 Suppose w = 52 + 11. Suppose -5*s + 2 = -w. What is the remainder when 25 is divided by s? 12 Suppose 0 = 5*n - 2*f + 234, n = -3*n - 3*f - 201. Let x be 6/(-2 + 0) + n. Let d = 95 + x. What is the remainder when d is divided by 15? 14 Calculate the remainder when ((-24)/5)/(3/(-20)) is divided by 11. 10 Calculate the remainder when 52 is divided by 2/10 + 345/25. 10 Let n be (-1)/(-5) - 1/5. Let y = 0 - n. Suppose i - 8 = -y*i. Calculate the remainder when 14 is divided by i. 6 Suppose -107 = 15*p - 902. What is the remainder when p is divided by 28? 25 Suppose -3*j + 4*i + 63 = 0, 2*i - 4*i = 0. Let t = j + -13. Suppose -3*v - 4*l + 57 = 0, -l - 51 = -4*v + 2*l. Calculate the remainder when v is divided by t. 7 Suppose -3*i + 94 = 4*t, -4 = 4*i + 4. Suppose 0 = 2*g - g - t. Let j(w) = w**2 + 5*w - 7. What is the remainder when g is divided by j(-7)? 4 Suppose 188 = 5*q - 2*f, 0 = -3*q - 2*f - 0*f + 100. What is the remainder when q is divided by 16? 4 Let r(v) be the third derivative of -v**4/4 - v**3/3 + 3*v**2. What is the remainder when 18 is divided by r(-2)? 8 Calculate the remainder when 9 is divided by 5 + 4 + -2*3. 0 Let u(f) = -f**2 + 15. Let n be u(0). Let m = n - -1. What is the remainder when m is divided by 6? 4 Let b(x) = x**3 + 10*x**2 + 6*x - 22. Suppose 2*y = -y + 6. Calculate the remainder when 21/(y + 3/(-6)) is divided by b(-9). 4 Let x(n) = -n**3 - 2*n**2 + 4*n - 1. Let f be x(-3). Let o = 4 + f. Let p(h) = h**3 + h**2 + h + 37. What is the remainder when p(o) is divided by 19? 18 Let o = 6 + -5. Let q(d) = 3 - 3 - 9*d**2 + d**3 - o - 2 + d. Calculate the remainder when 10 is divided by q(9). 4 Let q be (13 - 3)*(-2)/2. Let w(j) = j**3 + 11*j**2 + 11*j + 12. Calculate the remainder when w(q) is divided by 2. 0 Suppose 6*f + 13*f = 2071. Calculate the remainder when f is divided by 38. 33 Let a(n) = -n + 5*n + 3 - n + 3. Calculate the remainder when a(10) is divided by 13. 10 Let x(n) = 4*n**2 + 5*n - 5. What is the remainder when x(2) is divided by 11? 10 Let x(z) = -3*z + 1. Let h be x(2). Let i(n) = -n**3 - 3*n**2 + 5*n + 3. Let a = -8 + 18. Calculate the remainder when i(h) is divided by a. 8 Let m be (156/(-15))/(4/(-10)). Suppose c = m + 13. Calculate the remainder when c is divided by 21. 18 Suppose 5*f = -b + 15, -2*b - 4*f = -f - 37. Let h(w) = w**2 - 5*w + 1. Let z be h(4). What is the remainder when (-175)/z + 5/(-15) is divided by b? 18 Suppose 5*h + z = 5, 0 = -2*h - 4*z + 12 - 28. What is the remainder when (12 - h) + 0 + 1 is divided by 7? 4 Let x(g) = g + 10. Let v be x(-5). Suppose 0*b + v*b - 60 = 0. Calculate the remainder when 34 is divided by b. 10 Suppose 5*p - 2*p - 46 = -5*s, -5*p + 7 = 2*s. Calculate the remainder when -1*(1 + -33) + -2 is divided by s. 8 Let n = 33 - 20. Let m = 23 - n. Calculate the remainder when 27 is divided by m. 7 Suppose -321 + 41 = -5*s + 5*k, -4*k = 5*s - 235. What is the remainder when 100 is divided by s? 49 Suppose -3*r + 25 = n - 12, -5*r + 127 = 4*n. What is the remainder when n is divided by 12? 4 Let q = -7 + 24. What is the remainder when 33 is divided by q? 16 Suppose 6 = 3*s, -2*b + 30 = -0*s + 4*s. Calculate the remainder when 52 is divided by b. 8 Let b(u) = 17*u + 1. Let i = -36 - -49. What is the remainder when b(2) is divided by i? 9 Suppose 5*h = 4*h + 52. Suppose 3*a = -5*r + 130, 5*r = -a + h + 78. Calculate the remainder when r is divided by 14. 12 What is the remainder when 11 is divided by ((-91)/(-28))/13 + 11/4? 2 Suppose -2*g = 4*i - 20, -4*i - 10 = -4*g - 2*i. Let w(l) = -l**3 + 4*l**2 + 2*l + 4. What is the remainder when w(g) is divided by 2 + -3 - -2*4? 5 Suppose -b - 3*b = -3*z - 21, 0 = 5*z + 15. Suppose -s - 4*p = -14, 0 = -5*s + 2*s + 3*p - b. Calculate the remainder when s is divided by 1. 0 Suppose d = -5*u + 36, 3*d + 3*u = -2*u + 78. Let w = -15 + 26. What is the remainder when d is divided by w? 10 Let p(f) = f**2 + f + 6. Let q be p(0). Let w(m) = 5*m - 4. Suppose 9*j - 50 = 31. Calculate the remainder when w(q) is divided by j. 8 Suppose 3 - 47 = -4*g. Suppose 4*t - 96 = t. What is the remainder when t is divided by g? 10 Let x be ((-69)/2)/((-2)/4). Suppose s + 2*s + 138 = 0. Let b = x + s. Calculate the remainder when 45 is divided by b. 22 Suppose 4*m + 20 + 28 = 4*a, a + 4*m = 27. What is the remainder when a is divided by 6? 3 Let k(s) = -s**3 + 5*s**2 - 4. Let o = 6 - 13. Calculate the remainder when -6*o/((-28)/(-30)) is divided by k(4). 9 Let m be (2/4)/(2/92). Let r = 32 - m. What is the remainder when 16 is divided by r? 7 Let l(o) = o**3 - 2*o**2 + o + 1. Let v be l(2). Suppose 5*q = 2*a - v*a + 31, 3*q = 4*a + 37. Calculate the remainder when 12 is divided by q. 5 Let m = 17 + -10. Let u(v) = -v**3 + 8*v**2 - 5*v + 1. Let c be u(m). What is the remainder when (-4)/10 - (-336)/c is divided by 8? 6 Let t = 3 - 3. What is the remainder when (1 - t) + 1 + 16 is divided by 7? 4 Let n(o) = 10*o - 5. What is the remainder when n(3) is divided by 13? 12 Let w(l) = -3*l**2 - 21*l - 17. Calculate the remainder when (3*3)/((-1)/(-6)) is divided by w(-4). 16 Let b be -1 - -4 - (37 + 1). Let a = b - -50. What is the remainder when a is divided by 8? 7 Suppose -5*k - 28 - 200 = -4*m, -k - 212 = -4*m. What is the remainder when m is divided by 27? 25 Suppose 0 = 12*l - 277 - 359. What is the remainder when l is divided by 28? 25 Let b be 70/20*(3 - 1). Let w = 13 - b. What is the remainder when w is divided by 3? 0 Let c = -4 - -6. Suppose 3*v - 7 = -s, -c*v = -3*s - 3*v + 29. What is the remainder when 28 is divided by s? 8 Suppose -t = -2*p + 29, -2*t + 46 = 3*p + p. Let i(a) = a**2 - 13*a + 3. Suppose 0 = -z + 5. Calculate the remainder when z is divided by i(p). 2 Suppose y + 0*y - 14 = -4*d, 4*y - 2*d = -16. Let k be -38 + -3 + (-10)/y. Calculate the remainder when (-1 + k - -3)/(-2) is divided by 9. 8 What is the remainder when (2646/24 - 6) + 3/4 is divided by 12? 9 Let p(q) = q**3 + 10*q**2 + 4*q - 7. What is
{ "pile_set_name": "DM Mathematics" }
sevenths of a week in hours? 96 How many nanometers are there in 41082.91km? 41082910000000000 How many nanometers are there in 6/5 of a micrometer? 1200 What is 7/8 of a tonne in kilograms? 875 Convert 0.1705994 litres to millilitres. 170.5994 Convert 63.24597 meters to centimeters. 6324.597 Convert 52638.12 years to centuries. 526.3812 What is 46/5 of a litre in millilitres? 9200 What is 0.1582213ml in litres? 0.0001582213 Convert 996736.2 meters to centimeters. 99673620 How many years are there in thirty-seven fifths of a millennium? 7400 How many micrograms are there in 42/5 of a milligram? 8400 What is seven eighths of a litre in millilitres? 875 What is 683897.5 millennia in months? 8206770000 What is five sixths of a millennium in months? 10000 How many meters are there in 7.757725 micrometers? 0.000007757725 Convert 4183.62 grams to micrograms. 4183620000 What is 51/2 of a milligram in micrograms? 25500 What is 27/2 of a kilogram in grams? 13500 What is 5.904634ug in grams? 0.000005904634 What is 0.5190539ng in kilograms? 0.0000000000005190539 What is thirty-seven fifths of a meter in centimeters? 740 How many microseconds are there in one tenth of a second? 100000 How many millilitres are there in 13/4 of a litre? 3250 Convert 2205.533 milligrams to grams. 2.205533 What is 3/10 of a litre in millilitres? 300 What is 0.1069706 nanometers in meters? 0.0000000001069706 Convert 934583.4 centuries to decades. 9345834 What is 0.9149682ug in kilograms? 0.0000000009149682 How many years are there in one tenth of a century? 10 Convert 41.69139 litres to millilitres. 41691.39 How many micrometers are there in 26/5 of a centimeter? 52000 How many milliseconds are there in 3/5 of a second? 600 How many millilitres are there in three eighths of a litre? 375 How many tonnes are there in 9783.502 kilograms? 9.783502 What is thirteen fifths of a tonne in kilograms? 2600 What is twenty-nine fifths of a microsecond in nanoseconds? 5800 What is twenty-five halves of a century in years? 1250 How many hours are there in 1/24 of a day? 1 How many grams are there in 1/4 of a kilogram? 250 Convert 98.41012 centuries to years. 9841.012 Convert 5.589763g to nanograms. 5589763000 Convert 9028.959 tonnes to micrograms. 9028959000000000 What is 914332.05 milliseconds in days? 0.010582546875 How many meters are there in 0.706877 millimeters? 0.000706877 What is 7888.1958 nanoseconds in hours? 0.0000000021911655 What is 100714.131ns in weeks? 0.0000000001665246875 How many millilitres are there in fifty-three quarters of a litre? 13250 How many years are there in six fifths of a decade? 12 Convert 0.1119339m to micrometers. 111933.9 What is three eighths of a millimeter in micrometers? 375 What is 682.5228 millennia in months? 8190273.6 What is 171685445.4 microseconds in weeks? 0.0002838714375 Convert 909517.3 litres to millilitres. 909517300 What is 19/4 of a litre in millilitres? 4750 How many nanograms are there in 13/4 of a microgram? 3250 How many kilometers are there in 376800.8mm? 0.3768008 How many grams are there in 71/4 of a kilogram? 17750 What is 1/20 of a century in months? 60 How many milliseconds are there in 2/125 of a minute? 960 Convert 0.013855 minutes to seconds. 0.8313 How many nanograms are there in 1/10 of a microgram? 100 What is 56706.92cm in kilometers? 0.5670692 Convert 9.678902 millilitres to litres. 0.009678902 What is 2344004.1 nanoseconds in minutes? 0.000039066735 How many millimeters are there in 27/5 of a centimeter? 54 How many millilitres are there in 4914.362 litres? 4914362 What is 222957.2 millilitres in litres? 222.9572 What is 0.6144113l in millilitres? 614.4113 Convert 0.5461308um to centimeters. 0.00005461308 What is 555012.4 centimeters in millimeters? 5550124 How many millimeters are there in 1.372578 centimeters? 13.72578 How many decades are there in 0.1768497 months? 0.0014737475 Convert 65.25006 millilitres to litres. 0.06525006 What is thirty-one sixths of a year in months? 62 What is five quarters of a kilogram in grams? 1250 How many millimeters are there in 48954.72um? 48.95472 How many kilograms are there in 7/2 of a tonne? 3500 How many micrometers are there in thirty-one fifths of a millimeter? 6200 How many months are there in 71/3 of a decade? 2840 What is three sixteenths of a day in seconds? 16200 How many months are there in 48.49258 decades? 5819.1096 How many micrograms are there in 16457.51 kilograms? 16457510000000 How many litres are there in 9.166923 millilitres? 0.009166923 What is 21/4 of a millennium in years? 5250 How many minutes are there in 1/6 of a day? 240 What is 53.4921 tonnes in grams? 53492100 How many seconds are there in five quarters of a hour? 4500 What is five quarters of a tonne in kilograms? 1250 How many seconds are there in 0.612809 milliseconds? 0.000612809 What is 21774.24 litres in millilitres? 21774240 Convert 0.5384812ng to kilograms. 0.0000000000005384812 Convert 699906.9 decades to years. 6999069 What is thirteen fifths of a milligram in micrograms? 2600 What is 20.84004l in millilitres? 20840.04 What is 53/4 of a kilometer in meters? 13250 Convert 988.1553 minutes to nanoseconds. 59289318000000 What is 1/5 of a millennium in centuries? 2 What is 31/2 of a litre in millilitres? 15500 How many tonnes are there in 75.03458g? 0.00007503458 What is 0.2110635 litres in millilitres? 211.0635 How many months are there in one sixteenth of a millennium? 750 What is 1/10 of a second in microseconds? 100000 How many millimeters are there in nine tenths of a meter? 900 How many nanograms are there in 1/4 of a microgram? 250 What is 6966.826m in kilometers? 6.966826 What is two ninths of a week in minutes? 2240 What is seventy-five halves of a meter in centimeters? 3750 What is 3/40 of a litre in millilitres? 75 What is 3/10 of a litre in millilitres? 300 Convert 849.58 micrograms to nanograms. 849580 How many hours are there in five eighths of a day? 15 Convert 103927.131 minutes to weeks. 10.31023125 What is 42719.3 litres in millilitres? 42719300 How many millimeters are there in 0.879238um? 0.000879238 What is fourty-five quarters of a day in minutes? 16200 What is 57/5 of a millennium in years? 11400 How many centuries are there in 7.614612 years? 0.07614612 How many minutes are there in 11/7 of a week? 15840 What is 46.70753 milligrams in nanograms? 46707530 What is 0.390356t in nanograms? 390356000000000 What is 85.74513 millilitres in litres? 0.08574513 Convert 237131.9mm to kilometers. 0.2371319 What is 59/5 of a decade in months? 1416 How many minutes are there in 4/3 of a day? 1920 What is 13/5 of a milligram in micrograms? 2600 What is 1/4 of a millennium in months? 3000 How many nanometers are there in 0.7909216 meters? 790921600 What is 2737.639 milligrams in micrograms? 2737639 What is 2/63 of a week in seconds? 19200 How many millilitres are there in 9.612914l? 9612.914 What is 1/6 of a minute in milliseconds? 10000 What is 5/4 of a litre in millilitres? 1250 Convert 79.656 kilograms to milligrams. 79656000 What is thirty-seven halves of a centimeter in millimeters? 185 What is 588.4397g in micrograms? 588439700 Convert 435.4803 millimeters to kilometers. 0.0004354803 How many millilitres are there in 17/2 of a litre? 8500 How many micrometers are there in one tenth of a centimeter? 1000 What is seven halves of a millimeter in micrometers? 3500 How many millilitres are there in one tenth of a litre? 100 How many millilitres are there in one twentieth of a litre? 50 How many nanograms are there in six fifths of a microgram? 1200 What is 16/7 of a week in days? 16 What is 6.014239 milliseconds in nanoseconds? 6014239 What is 21851.748 months in decades? 182.0979 What is 1/20 of a millisecond in nanoseconds? 50000 What is 3/8 of a micrometer in nanometers? 375 What is 6/25 of a day in seconds? 20736 Convert 0.3545741mg to grams. 0.0003545741 Convert 0.4912845 meters to nanometers. 491284500 What is 12298.16mg in tonnes? 0.00001229816 Convert 74010.22 milliseconds to seconds. 74.01022 What is 62373.38 litres in millilitres? 62373380 How many months are there in 1/4 of a millennium? 3000 Convert 0.2241832ml to litres. 0.0002241832 What is 33797.16 kilometers in cent
{ "pile_set_name": "DM Mathematics" }
e factors of 4815909045. 3, 5, 3673, 29137 What are the prime factors of 574708263? 3, 10531, 18191 List the prime factors of 211639148. 2, 7, 7558541 What are the prime factors of 165208886? 2, 82604443 List the prime factors of 55008350. 2, 5, 1100167 List the prime factors of 23124865. 5, 587, 7879 List the prime factors of 3408005228. 2, 2243, 379849 What are the prime factors of 30243002? 2, 367, 41203 What are the prime factors of 97437095? 5, 7, 37, 67, 1123 What are the prime factors of 4499974808? 2, 7, 80356693 What are the prime factors of 139046950? 2, 5, 7, 43, 9239 List the prime factors of 288898637. 9769, 29573 What are the prime factors of 288744142? 2, 144372071 List the prime factors of 5348976394. 2, 2674488197 List the prime factors of 33240527. 419, 79333 List the prime factors of 378086662. 2, 19, 61, 163109 List the prime factors of 3990663278. 2, 7, 197, 1446941 What are the prime factors of 27432857? 409, 67073 List the prime factors of 556606228. 2, 179, 777383 What are the prime factors of 847548982? 2, 7, 8648459 What are the prime factors of 1961865030? 2, 3, 5, 65395501 List the prime factors of 42261020. 2, 5, 167, 12653 What are the prime factors of 98782237? 151, 654187 What are the prime factors of 1074281183? 1074281183 List the prime factors of 95093973. 3, 13, 270923 List the prime factors of 52922705. 5, 11, 47, 59, 347 List the prime factors of 4657002480. 2, 3, 5, 13, 647, 769 What are the prime factors of 36133962? 2, 3, 101, 59627 List the prime factors of 96990081. 3, 32330027 What are the prime factors of 702554566? 2, 7, 50182469 List the prime factors of 120942831. 3, 197, 204641 List the prime factors of 23258854. 2, 97, 119891 What are the prime factors of 553962101? 7, 11, 1027759 What are the prime factors of 229787612? 2, 37, 1552619 List the prime factors of 217024045. 5, 7, 991, 6257 List the prime factors of 110758584. 2, 3, 1051, 4391 List the prime factors of 52689142. 2, 11, 2394961 What are the prime factors of 1655529426? 2, 3, 91973857 What are the prime factors of 3738827315? 5, 19, 479, 82163 What are the prime factors of 1292137720? 2, 5, 32303443 List the prime factors of 63152376. 2, 3, 7, 83, 647 List the prime factors of 69552715. 5, 43, 47, 6883 List the prime factors of 19289583. 3, 163, 487 List the prime factors of 4309892612. 2, 41, 26279833 What are the prime factors of 5399943? 3, 433, 4157 List the prime factors of 320260299. 3, 106753433 What are the prime factors of 46546111? 37, 41, 61, 503 List the prime factors of 57255159. 3, 13, 661, 2221 What are the prime factors of 106122857? 17, 103, 60607 List the prime factors of 2993314892. 2, 131, 397, 14389 List the prime factors of 249819729. 3, 5521, 15083 What are the prime factors of 78930656? 2, 7, 352369 List the prime factors of 304178064. 2, 3, 101, 62743 List the prime factors of 482726897. 563, 857419 List the prime factors of 3675276158. 2, 1307, 1405997 List the prime factors of 2482182497. 2482182497 What are the prime factors of 322905541? 7, 6589909 List the prime factors of 12311774. 2, 17, 31, 11681 List the prime factors of 31153230. 2, 3, 5, 346147 List the prime factors of 84224783. 17, 41, 149, 811 What are the prime factors of 66769833? 3, 13, 1712047 What are the prime factors of 1280941694? 2, 163, 3929269 What are the prime factors of 78408552? 2, 3, 3267023 What are the prime factors of 1445930462? 2, 2281, 316951 List the prime factors of 33191823. 3, 7, 47, 33629 List the prime factors of 263008888. 2, 29, 1133659 List the prime factors of 6586453. 6586453 What are the prime factors of 5894441135? 5, 11, 107171657 List the prime factors of 712017494. 2, 17, 197, 106303 What are the prime factors of 2487314073? 3, 19, 43637089 List the prime factors of 1170894081. 3, 7, 97, 574813 List the prime factors of 2179275202. 2, 13, 4349, 19273 List the prime factors of 200493593. 89, 479, 4703 What are the prime factors of 50415479? 43, 73, 16061 List the prime factors of 251146517. 251146517 What are the prime factors of 2009091579? 3, 11, 60881563 What are the prime factors of 246331867? 127, 1939621 What are the prime factors of 2566612932? 2, 3, 13, 16452647 What are the prime factors of 127782665? 5, 25556533 List the prime factors of 1968653780. 2, 5, 73, 1348393 List the prime factors of 832386989. 7, 118912427 What are the prime factors of 3193543767? 3, 23, 337, 137339 List the prime factors of 23837883. 3, 47, 169063 What are the prime factors of 152911027? 152911027 List the prime factors of 1564876362. 2, 3, 7, 97, 384113 List the prime factors of 330836763. 3, 89, 1239089 List the prime factors of 2507891724. 2, 3, 13, 412211 List the prime factors of 17862872. 2, 2232859 List the prime factors of 5283401552. 2, 11, 13, 2309179 What are the prime factors of 43956337? 43956337 What are the prime factors of 81853871? 11, 7441261 What are the prime factors of 77100949? 77100949 List the prime factors of 1168549519. 17, 29, 419, 5657 List the prime factors of 278622312. 2, 3, 73, 109, 1459 List the prime factors of 279117448. 2, 19, 1836299 What are the prime factors of 1492137152? 2, 11, 43, 4481 What are the prime factors of 1419504799? 509, 5479 List the prime factors of 168154929. 3, 83, 229, 983 What are the prime factors of 37583646? 2, 3, 6263941 What are the prime factors of 343421407? 7, 49060201 List the prime factors of 59137400. 2, 5, 7, 53, 797 List the prime factors of 771383273. 771383273 What are the prime factors of 595309561? 7, 11, 599, 12907 List the prime factors of 24044637. 3, 23, 109, 139 List the prime factors of 2218941966. 2, 3, 17, 421, 51673 What are the prime factors of 505279803? 3, 7, 283, 85021 What are the prime factors of 515039225? 5, 17, 1211857 What are the prime factors of 22979664? 2, 3, 19, 37, 227 What are the prime factors of 626682157? 3877, 161641 What are the prime factors of 182911253? 7, 31, 313, 2693 What are the prime factors of 333809438? 2, 2543, 65633 What are the prime factors of 211873725? 3, 5, 7, 14947 List the prime factors of 218161297. 218161297 List the prime factors of 1227307965. 3, 5, 13, 499, 12613 What are the prime factors of 1324960492? 2, 331240123 List the prime factors of 126510630. 2, 3, 5, 131, 32191 What are the prime factors of 90726271? 90726271 What are the prime factors of 305140795? 5, 61028159 List the prime factors of 733128467. 733128467 List the prime factors of 622601495. 5, 7393, 16843 What are the prime factors of 38323279? 38323279 List the prime factors of 1993082545. 5, 257, 1551037 What are the prime factors of 181460350? 2, 5, 3629207 What are the prime factors of 37339457? 103, 227, 1597 List the prime factors of 1357217856. 2, 3, 23, 11383 What are the prime factors of 1423069591? 21277, 66883 What are the prime factors of 721433864? 2, 7069, 12757 List the prime factors of 15894977. 7, 47, 48313 List the prime factors of 930141397. 103, 2309, 3911 What are the prime factors of 234144016? 2, 809, 18089 What are the prime factors of 7398555010? 2, 5, 7, 11, 9608513 What are the prime factors of 7839371104? 2, 244980347 What are the prime factors of 639775597? 421, 1519657 What are the prime factors of 446903139? 3, 148967713 List the prime factors of 52994430. 2, 3, 5, 588827 List the prime factors of 82652827. 17, 97, 50123 What are the prime factors of 108685281? 3, 23, 1187, 1327 List the prime factors of 90757683. 3, 919, 10973 What are the prime factors of 2249946331? 97, 487, 47629 List the prime factors of 45834767. 11, 67, 62191 List the prime factors of 4730440386. 2, 3, 7, 29, 1031, 3767 List the prime factors of 426775792. 2, 47, 59, 9619 List the prime factors of 102614477. 7, 23, 83, 1097 List the prime factors of 4870020410. 2, 5, 487002041 What are the prime factors of 7178782375? 5, 31, 467, 3967 What are the prime factors of 57520920? 2, 3, 5, 29, 16529 What are the prime factors of 70011572? 2, 103, 109, 1559 What are the prime factors of 897698455? 5, 179539691 What are the prime factors of 47603352? 2, 3, 31, 109, 587 List the prime factors of 17943535. 5, 3588707 List the prime factors of 122929417. 13, 773, 941 List the prime factors of 615656255. 5, 123131251 List the prime
{ "pile_set_name": "DM Mathematics" }
- 76. Determine g(-6). 8 Let f(h) = 7*h**3 + 74*h**2 - 26*h + 73. Give f(-11). -4 Let q(z) = 2*z**3 + 112*z**2 - 351*z - 6888. Calculate q(-58). 14 Let f(r) = -7*r + 673. Calculate f(45). 358 Let s(j) = -25*j + 47. What is s(3)? -28 Let o(l) = -l**2 - 49*l + 20. Give o(-46). 158 Let f(r) = -r**2 - 3*r - 20. What is f(-4)? -24 Let w(s) = s**2 - 764*s + 1527. What is w(2)? 3 Let z(y) = -18*y + 42. Give z(2). 6 Let v(i) = -4*i**2 + 217*i - 266. What is v(53)? -1 Let m(n) = 31*n + 300. Determine m(-16). -196 Let d(b) = 2*b**2 + 28*b - 1. Determine d(-15). 29 Let h(l) = -2*l**2 + 43*l + 74. What is h(23)? 5 Let q(y) = 100*y**3 - 2*y**2 + 2*y. What is q(1)? 100 Let f(s) = s**2 + 18*s + 13. What is f(-13)? -52 Let m(d) = -20*d + 873. Give m(46). -47 Let n(v) = -4*v**2 - 20*v - 1. Give n(-5). -1 Let h(f) = 40*f - 1415. Calculate h(40). 185 Let p(i) = 862*i - 24959. Determine p(29). 39 Let u(q) = q**3 - 20*q**2 - 21*q. Determine u(21). 0 Let t(n) = -9*n**2 + 66*n + 5. Calculate t(7). 26 Let p(h) = h**3 + 39*h**2 + 519*h + 16465. Determine p(-37). 0 Let c(g) = 569*g - 53481. Determine c(94). 5 Let z(x) = -4*x**2 - 18*x + 7. Give z(-11). -279 Let b(z) = -8*z**2 - 6664*z - 6665. What is b(-1)? -9 Let a(o) = -o**3 + 10*o**2 - 72*o + 568. What is a(9)? 1 Let j(r) = 7*r**3 + 22*r**2 - 8*r - 11. Give j(-5). -296 Let x(i) = -i**3 + 4*i**2 - 409*i + 815. Calculate x(2). 5 Let p(t) = -11*t**2 - 63*t - 105. Calculate p(-3). -15 Let k(g) = -16*g + 66. Give k(6). -30 Let h(b) = 3*b**2 - 9*b - 14. What is h(-4)? 70 Let n(j) = -3*j**2 - 339*j - 7. Give n(0). -7 Let y(w) = -7*w - 629. Determine y(-87). -20 Let q(y) = 9*y**2 - 139*y + 136. Give q(14). -46 Let f(c) = -5*c**2 + 97*c + 28. Give f(15). 358 Let z(l) = -5*l**2 - l - 48. Give z(0). -48 Let h(v) = -37*v**2 - 421*v - 148. What is h(-11)? 6 Let q(d) = -d**2 - 43*d - 376. Give q(-13). 14 Let j(a) = -11*a + 287. Give j(25). 12 Let n(k) = -k**2 - 11*k + 79. What is n(10)? -131 Let m(q) = q**3 - 7*q**2 - 407*q + 13. Calculate m(-17). -4 Let l(z) = 886*z + 7. Determine l(0). 7 Let f(y) = 2*y + 235. Determine f(-24). 187 Let v(p) = -12335*p + 12328. What is v(1)? -7 Let f(i) = -2*i**2 - 40*i - 98. What is f(-6)? 70 Let n(b) = 135*b**3 - 3*b**2 + 2. Give n(-1). -136 Let j(x) = -x**3 - 25*x**2 + 346*x - 145. Calculate j(-35). -5 Let v(l) = -5*l**3 + 38*l**2 - 26*l + 335. Give v(8). -1 Let x(w) = -2*w**2 - 17*w - 15. What is x(12)? -507 Let z(s) = 2*s**2 - 118*s - 2123. What is z(76)? 461 Let h(d) = -2*d**3 + 6*d**2 - 2*d - 6. Give h(4). -46 Let g(b) = -b**3 + 2*b**2 - 27*b - 317. Calculate g(-5). -7 Let s(r) = 64*r - 30. Calculate s(3). 162 Let q(r) = -13*r + 27. Determine q(-9). 144 Let y(q) = 107*q**2 - 72*q - 71. Determine y(-1). 108 Let z(a) = 8*a**2 + 11*a. Give z(0). 0 Let j(d) = 30*d + 89. Determine j(-6). -91 Let q(z) = -82*z**3 + 7*z**2 - 8*z. Calculate q(2). -644 Let o(t) = -30*t + 598. What is o(19)? 28 Let j(v) = -3*v**3 - 50*v**2 - 33*v - 18. Give j(-16). -2 Let s(w) = w**3 - 71*w**2 + 147*w - 622. Calculate s(69). -1 Let n(i) = 68*i + 1603. Calculate n(-21). 175 Let o(y) = 861*y - 3422. Determine o(4). 22 Let q(m) = -m - 10. Determine q(-1). -9 Let r(f) = 23*f + 31. Determine r(-14). -291 Let a(n) = -2316*n - 4614. What is a(-2)? 18 Let g(v) = -651*v + 151042. Determine g(232). 10 Let b(m) = m**3 + 92*m**2 + 1061*m - 2419. Calculate b(-78). -1 Let v(w) = w**3 - 50*w**2 - 154*w - 261. Determine v(53). 4 Let b(z) = -427*z + 10. Determine b(-1). 437 Let p(m) = -3*m**3 + 185*m**2 - 120*m - 124. Give p(61). -2 Let s(l) = -88*l**2 + 21033*l - 237. Give s(239). 2 Let q(d) = -d**3 - 4*d**2 + 37*d + 48. Give q(-8). 8 Let t(q) = -14*q + 14. Determine t(18). -238 Let w(z) = 2*z**2 + 14*z - 14. Give w(-5). -34 Let p(v) = -v**3 + 34*v**2 - 50*v - 447. Calculate p(32). 1 Let s(y) = -262*y - 267. Calculate s(-1). -5 Let o(w) = -3*w**2 + 36*w - 4. What is o(12)? -4 Let j(g) = g**2 - 275*g + 8398. Calculate j(35). -2 Let u(f) = -24*f**3 - 1031*f**2 + 45*f + 107. What is u(-43)? 21 Let l(n) = -n**2 + 1870*n - 7469. Calculate l(4). -5 Let n(r) = r**3 - 91*r**2 - 92*r - 57. Give n(92). -57 Let v(n) = n**2 + 53*n + 121. What is v(-50)? -29 Let y(c) = -2*c**2 - 58*c - 44. Calculate y(-32). -236 Let l(y) = 660*y + 123428. What is l(-187)? 8 Let o(w) = 53*w - 719. What is o(15)? 76 Let b(u) = -u**3 - 4*u**2 + 61*u + 282. Determine b(-4). 38 Let x(a) = a**3 + 35*a**2 - 82*a - 273. What is x(-37)? 23 Let s(o) = -296*o + 553. Give s(2). -39 Let v(p) = -p**2 - 215*p - 658. Give v(-3). -22 Let g(m) = 28*m + 361. Determine g(-13). -3 Let v(k) = k**3 + 14*k**2 - 39*k - 7. Determine v(-16). 105 Let l(n) = 3*n**2 - 6*n + 5. Determine l(0). 5 Let i(z) = -145*z + 298. Determine i(2). 8 Let x(g) = -g**3 + 31*g**2 + 37*g - 74. Calculate x(32). 86 Let f(y) = -3*y**3 - 7*y**2 + 5*y + 1. What is f(2)? -41 Let l(w) = -w**2 + 44*w + 82. Give l(46). -10 Let z(f) = -f**3 - 62*f**2 - 179*f - 87. What is z(-59)? 31 Let y(l) = -l**3 - 38*l**2 + 164*l - 16. Determine y(-42). 152 Let f(k) = 19*k**2 + 79*k + 14. Give f(-6). 224 Let b(q) = -50*q - 3972. Determine b(-79). -22 Let w(y) = y**2 - 39*y - 501. Give w(48). -69 Let a(z) = 3*z**2 - 127*z + 1332. Calculate a(19). 2 Let g(h) = h**3 - 93*h**2 + 94*h - 195. Calculate g(92). -11 Let q(j) = 17*j**3 + 33*j**2 - 16*j - 36. Determine q(-2). -8 Let a(c) = c**3 + 12*c**2 - 23*c - 5. Calculate a(2). 5 Let u(q) = -91*q + 289. Give u(4). -75 Let m(c) = -2*c**3 - 103*c**2 + 53*c - 1. Calculate m(-52). -53 Let d(g) = -15*g**2 + 1052*g - 144. Determine d(70). -4 Let r(p) = 91*p**2 - 50*p + 109. Determine r(2). 373 Let k(r) = -3*r**2 - 33*r - 93. Give k(-6). -3 Let z(d) = d**2 - 153*d + 3109. Give z(24). 13 Let b(q) = -2*q**3 - 73*q**2 - 39*q - 114. What is b(-36)? -6 Let j(s) = -s**3 - 7*s**2 - 13*s - 4. Determine j(-9). 275 Let o(g) = 15*g + 32. Give o(1). 47 Let o(r) = 29*r + 457. Determine o(-5). 312 Let l(o) = 26*o + 40. Calculate l(0). 40 Let a(u) = 504*u - 24161. What is a(48)? 31 Let a(u) = 23*u**2 + 694*u - 694. Calculate a(1). 23 Let w(j) = -11*j**2 + 7*j + 14. What is w(-5)? -296 Let i(b) = 4*b**2 - 37*b - 14. What is i(13)? 181 Let w(l) = 61*l**3 - l**2 - 28*l + 47. What is w(2)? 475 Let v(s) = -s**3 - 6*s**2 + 29*s - 26. Determine v(2). 0 Let k(j) = -20*j + 866. Give k(36). 146 Let i(w) = -7100*w + 127800. What is i(18)? 0 Let j(t) = 2*t**2 - 58*t + 293. Calculate j(23). 17 Let n(h) = 4*h**2 - 34*h - 12. Determine n(13). 222 Let a(w) = 4*w**3 + 20*w**2 - 26*w + 2. Give a(-6). 14 Let u(i) = 17*i**2 + 60*i + 5. Calculate u(-4). 37 Let l(c) = -3*c**3 - 136*c**2 - 181*c - 62. Calculate l(-44). 158 Let j(v) = -v**2 + 120*v + 4839. Give j(-32). -25 Let s(a) = -a**3 + 17*a**2 - 33*a + 10. What is s(14)? 136 Let a(r) = -r**3 + 13*r**2 - 27*r + 85. Determine a(11). 30 Let v(p) = p**2 - 55*p - 549. Calculate v(-9). 27 Let r(u) = u**3 - 13*u**2 + 10*u - 33. Give r(5). -183 Let w(v) = -v**3 - 29*v**2 - v - 26. What is w(-29)? 3 Let w(v) = -159*v**2 - 38*v - 68. Calculate w(-2). -628 Let h(r) = -r**3 - 39*r**2 - r + 26. Calculate h(-39). 65 Let k(m) = -284*m**2 + 42*m - 41. Give k(1). -283 Let z(q) = -q**2 + 11*q + 17. Calculate z(15). -43 Let f(i) = -13*i**3 - 8*i**2 - 40*i - 41. Determine f(-1). 4 Let y(p) = -3*p + 75. Determine y(-8). 99 Let z(r) = -7*r + 291. Determine z(40). 11 Let n(v) = 50*v + 906. What is n(-19)? -44 Let t(b) = -b**3 + 30*b**2 + 25*b - 2. Determine t(31). -188 Let n(x) = -1586*x + 4757. What is n(3)? -1 Let h(s) = -s**3 + 7*s**2 - 4*s - 90. What is h(5)? -60 Let o(c) = 41*c**2 - 6685*c + 321. Calculate o(163). -5 Let c(x) = x**2 - 20*x - 38. Give c(24). 58 Let x(f) = 93*f - 1116. Calculate x(12). 0 Let s(i) = -i**2 - 55*i - 586. What is s(-41)? -12 Let g(r) = r**2 - 39*r + 555. Determine g(28). 247 Let s(w) = -w**3 + 28*w**2 + 42*w - 3618. Calculate s(23). -7 Let w(f) = f**3 + 16*f**2 + 15*f - 254. What is w(-16)? -494 Let y(d) = -36*d**2 + 17*d - 29. Determine y(2). -139 Let s(c) = -6*c**3 - 7*c**2 + 10. Calculate s(2). -66 Let m(b) = 10*b + 19. Give m(-4). -21 Let n(u) = 186*u + 203. What is n(-6)? -913 Let d(u) = -152*u + 1070. What is d(7)? 6 Let s(u) = 5*u**2 + 141*u + 10. Calculate s(0). 10 Let l(u) = 5*u - 227. Calculate l(11). -172 Let y(l) = -14*l**2 + 21*l + 34. Calculate y(-
{ "pile_set_name": "DM Mathematics" }
v**2 - 3999 - 3998. -v**2 Collect the terms in -186*y**2 + 369*y**2 - 182*y**2. y**2 Collect the terms in -460 - 6*i**3 + 460 + 3*i**3. -3*i**3 Collect the terms in -4*r + 2*r + 4*r - r. r Collect the terms in 7*z**2 - 10*z**2 - 16*z**2. -19*z**2 Collect the terms in 59*j**2 + 5 - 45*j**2 - 5. 14*j**2 Collect the terms in -4*r**2 + 294*r - 294*r. -4*r**2 Collect the terms in 126*x + 131*x - 258*x. -x Collect the terms in -11*c + 137 - 71 - 66. -11*c Collect the terms in -20 - b**3 + 20. -b**3 Collect the terms in 5*o**2 - 20*o**2 + 4*o**2 + o**2. -10*o**2 Collect the terms in 11*b - 32*b + 7*b + 15*b. b Collect the terms in -5*j**3 + 145*j**2 + 5*j**3 - 145*j**2 - j**3. -j**3 Collect the terms in 3*z**3 + 10*z**2 - 20*z**2 - 2*z**3. z**3 - 10*z**2 Collect the terms in 0*r**3 + 4*r**3 - 3*r**3 + 2*r**3. 3*r**3 Collect the terms in -3*r**2 - 23 + 23. -3*r**2 Collect the terms in -30*f + 11*f + 16*f. -3*f Collect the terms in 9*v - 59 - 62 + 121. 9*v Collect the terms in 21*w**2 + 28*w**2 - 69*w**2 + 22*w**2. 2*w**2 Collect the terms in 12*v**2 - 19*v**2 + 12*v**2. 5*v**2 Collect the terms in 110*l - 225*l + 92*l + 93*l. 70*l Collect the terms in -36*j + 2 + 16*j + 12*j. -8*j + 2 Collect the terms in 42*a + 17*a + 2 + 0 - 4. 59*a - 2 Collect the terms in 2*z**2 - 6*z**2 + 4*z**2 + 2*z**2. 2*z**2 Collect the terms in 50*a - 159*a + 54*a - 11*a**3 + 55*a. -11*a**3 Collect the terms in 21*k**2 + 4 - 9 + 0. 21*k**2 - 5 Collect the terms in 3*m**3 + 4*m**3 + 10*m**3. 17*m**3 Collect the terms in -89*m**3 + 20*m**3 + 19*m**3 + 19*m**3 + 17*m**3. -14*m**3 Collect the terms in -12 - 5*h + 5*h + 7*h**2. 7*h**2 - 12 Collect the terms in 24*f**3 - 2*f**3 - 7*f**3 - 8*f**3. 7*f**3 Collect the terms in 83*f**2 - 261*f**2 + 91*f**2 + 85*f**2. -2*f**2 Collect the terms in -102973*q + 102973*q + 21*q**3. 21*q**3 Collect the terms in 525*q**2 + 341*q**2 + 1 - 2*q + 2*q. 866*q**2 + 1 Collect the terms in 25*g**3 + 31*g**3 - 65*g**3. -9*g**3 Collect the terms in 5*l - 10*l + 25*l. 20*l Collect the terms in -1092*l + 1092*l + 213*l**3. 213*l**3 Collect the terms in 28*l**3 + 2*l + 0*l + 16*l**3. 44*l**3 + 2*l Collect the terms in -82648*f + f**3 + 82648*f - 1 + 1. f**3 Collect the terms in -1 - 5 - 4*m + 3. -4*m - 3 Collect the terms in -12*j + 3*j + j**2 + 9*j. j**2 Collect the terms in 5*q + 53*q + 70*q. 128*q Collect the terms in 45 + 7*b**2 - 45 - 9*b**3. -9*b**3 + 7*b**2 Collect the terms in 10*y + 3*y - 36*y + 0*y. -23*y Collect the terms in 772*o**2 - 83 - 768*o**2 + 83. 4*o**2 Collect the terms in -11309513*r + 11309513*r + r**3. r**3 Collect the terms in 36*p**3 + 33*p**3 - 75*p**3. -6*p**3 Collect the terms in 4*h**2 - 2*h**2 - 3*h**2 + 2*h**3. 2*h**3 - h**2 Collect the terms in 109 - 226 + 111 + 2*h. 2*h - 6 Collect the terms in -2 + 0 + 1 - 22*s + 60*s. 38*s - 1 Collect the terms in 0 + 2 + 1 - 497*n**3. -497*n**3 + 3 Collect the terms in 22*l - 165 + 165 - 15*l. 7*l Collect the terms in -129*w + 13*w - 11*w. -127*w Collect the terms in -28*j - 80 + 10*j + 15*j + 80. -3*j Collect the terms in 3*m**2 - 192*m + 192*m - 6*m**2. -3*m**2 Collect the terms in 24*h**2 - 17*h**2 - 14*h**2 - 7*h**2. -14*h**2 Collect the terms in -55*o**3 + 34*o**3 - 45*o**3. -66*o**3 Collect the terms in 6*b**3 - 11 + 0 - 5 + 16. 6*b**3 Collect the terms in 391 - 391 - 10*f. -10*f Collect the terms in -9409*z + 3 + 4705*z + 4706*z - 3. 2*z Collect the terms in -493 + 493 - m**2. -m**2 Collect the terms in 147*s - 32*s**3 - 9*s**3 - s**3 - 147*s. -42*s**3 Collect the terms in -14*j**3 + 27*j**3 - 16*j**3. -3*j**3 Collect the terms in 3*k**3 + 0*k**3 + 0*k**3 - 5*k**3. -2*k**3 Collect the terms in 28 - 4*v - 15 - 13. -4*v Collect the terms in -5444*v + 8344*v + 6892*v. 9792*v Collect the terms in 2*o - 2*o - 4*o**3 - 12*o - 2*o**3. -6*o**3 - 12*o Collect the terms in 179 - 179 - 9*h**3. -9*h**3 Collect the terms in -b + 1 + 5*b - 1. 4*b Collect the terms in -10*u**2 + 5*u**2 - 30*u**2 + 0*u**2. -35*u**2 Collect the terms in 1 + 6*i**2 + 32*i**2 - 39*i**2 - 1. -i**2 Collect the terms in y**2 - 16*y**2 - 6*y**2. -21*y**2 Collect the terms in 15*t**3 - 3*t**3 - 11*t**3. t**3 Collect the terms in -4*h - 148417 + 148417. -4*h Collect the terms in 3*a**2 - a**2 - 7*a**2. -5*a**2 Collect the terms in 74 + s**2 - 144 + 70. s**2 Collect the terms in -5*d - 29*d + 38*d. 4*d Collect the terms in 0*m**3 - 602*m**2 + 602*m**2 - 2*m**3. -2*m**3 Collect the terms in 12*r**3 - 1358*r + 1358*r. 12*r**3 Collect the terms in 26*u**2 + 21*u**2 - 46*u**2. u**2 Collect the terms in -13189 + 13189 + 8*j**2. 8*j**2 Collect the terms in 10*r**3 + r**2 + 3*r**2 - 4*r**2 - 3. 10*r**3 - 3 Collect the terms in -129*s**2 - s + s + 83*s**2. -46*s**2 Collect the terms in 3*v**3 - 27*v**3 + 54*v**3. 30*v**3 Collect the terms in 6*s + 0*s + 8*s - s. 13*s Collect the terms in -86*f**2 - 4 + 4. -86*f**2 Collect the terms in 8445*q - 4224*q - 4219*q. 2*q Collect the terms in -25*i - 2632 + 2632. -25*i Collect the terms in -2 + 392*v + 0 + 316*v. 708*v - 2 Collect the terms in -22878*k - 22*k**2 + 22878*k. -22*k**2 Collect the terms in 20*x - x**3 + 18*x - 38*x + 0*x**3. -x**3 Collect the terms in 16*u + u + 7*u. 24*u Collect the terms in -56*x**2 - 55*x**2 + 109*x**2. -2*x**2 Collect the terms in -280*l**3 + 91*l**3 + 91*l**3 + 95*l**3. -3*l**3 Collect the terms in -21*t - 22*t - 29*t + 74*t. 2*t Collect the terms in p**2 + 2*p**2 - 22*p - 40*p. 3*p**2 - 62*p Collect the terms in -9*c - c - 4*c + 15*c. c Collect the terms in -110*a**2 - 526*a + 526*a + 113*a**2. 3*a**2 Collect the terms in -4*t + 0*t + 4*t + 14*t**2. 14*t**2 Collect the terms in -35*m + 89*m + 15*m. 69*m Collect the terms in 14*i + 7*i + 15*i**2 - 34*i + 13*i. 15*i**2 Collect the terms in -80731*s + 10 - 10 + 80730*s. -s Collect the terms in s**2 - 1 + 0*s**2 - 4. s**2 - 5 Collect the terms in 39925*r - 39925*r + 17*r**3. 17*r**3 Collect the terms in 22 - 22 - 57*j. -57*j Collect the terms in 55*c + 17*c - 35*c. 37*c Collect the terms in 84*f - 6*f**3 - 84*f + f**3. -5*f**3 Collect the terms in 3109*s**2 + 3096*s**2 - 6208*s**2. -3*s**2 Collect the terms in -5*c**3 - 5*c**3 + 12*c**3. 2*c**3 Collect the terms in -21*i**3 + 28*i**3 - 12*i**3. -5*i**3 Collect the terms in 25*b**2 + 58*b**2 - 85*b**2. -2*b**2 Collect the terms in 6*m + 2*m - 5*m**2 + 0*m - 8*m. -5*m**2 Collect the terms in k**3 - 39*k**2 - 35*k**2 - 2*k**3 + 74*k**2. -k**3 Collect the terms in 12*r**2 + 647 - 14*r**2 - 647. -2*r**2 Collect the terms in -6 - 12*x + 9*x + 6. -3*x Collect the terms in -20*a - 83*a + 165*a. 62*a Collect the terms in -157*b**2 + 77*b**2 - b**3 + 80*b**2. -b**3 Collect the terms in -48*t**2 - 41*t**2 + 92*t**2. 3*t**2 Collect the terms in -280*r + 280*r + 119*r**3 - 60*r**3 - 61*r**3. -2*r**3 Collect the terms in 8*m**2 - 4*m**2 - 10*m**2 + 11. -6*m**2 + 11 Collect the terms in 18*a + 2*a**2 - 11*a - 2*a + 10*a**3 - 5*a. 10*a**3 + 2*a**2 Collect the terms in s - 2*s - 9 + 13*s. 12*s - 9 Collect the terms in 27*k**3 + 52*k**3 + 134*k**3. 213*k**3 Collect the terms in -9*t**2 + 5*t**2 + t**2 + 5*t**2 + 0*t**2. 2*t**2 Collect the terms in -4*q**2 + 259 - 520 + 261. -4*q**2 Collect the terms in -7*z**2 - 12*z**3 + 0*z**2 + 7*z**2. -12*z**3 Collect the terms in -469*a**3 - 344*a**3 - 71*a**3. -884*a**3 Collect the terms in -2367*y**2 - 2387*y**2 + 4755*y**2. y**2 Collect the terms in 6 + 11 + 14 + 2*q + 0. 2*q + 31 Collect the terms in -24*v**3 + 0 + 19*v**3 + 0. -5*v**3 Collect the terms in -4*a - 1 - 6*a + 9*a + 1. -a Collect the terms in 119*l**2 - 82*l**2 + 113*l**2. 150*l**2 Collect the terms in 18*t**2 + 3*t**2 - 25*t**2. -4*t**2 Collect the terms in 0*u - 711*u**3 + 714*u**3 + 0*u. 3*u**3 Collect the terms in 2 + 3 + 21*q - 5. 21*q Collect the terms in 3*y - 6*y + 3*y + 20*y**2. 20*y**2 Collect the terms in 155*j**2 + 90*j**2 + 26*j**2. 271*j**2 Collect the terms in -103 - 55 + 7*h**2 - h**3 - 7*h**2. -h**3 - 158 Collect the terms in 4*f**2 + 8*f**2 - 3*f**2 - 2*f**2. 7*f**2 Collect the terms in 21*w**2 - 12*w**2 - 10*w**2. -w**2 Collect the terms in -11*o + 4 - 3*o + 19*o. 5*o + 4 Collect the terms in 0*l + 5 - 2*l + 2 + 2 + 14. -2*l + 23 Collect the terms in -16*a**3 + 14*a**3 - 46*a**3. -48*a**3 Collect the terms in -2 + 2 + 119*v**2 - 2*v. 119*v**2
{ "pile_set_name": "DM Mathematics" }
ose 5*s - 5*l - 5 + 0 = 0, -5*s + l = -9. Solve -4*k = -b - s*b - 6, 2*k = 0 for b. -2 Suppose -3*x - 79 + 85 = 0. Solve -x*d - 16 = -4*v, -3*v + 3*d + 12 = 7*d for v. 4 Let d(f) = -2*f - 1. Let w be d(-1). Solve -3*c - 2*n - w = 0, 5*c + 2*n - 20 = 3*n for c. 3 Let i be (28/(-70))/((-1)/40). Let s = i + -11. Solve -3*y = s*x + 1, 3*y + 0*y - 3*x = -9 for y. -2 Suppose -4*m + 3 = 15. Let n be 3*4*m/(-6). Solve 3*v + n = 5*k, v = 1 - 3 for k. 0 Let q(u) = 21*u + 2. Let c be q(2). Let g(z) = z**3 - 12*z**2 + 2*z + 21. Let d be g(12). Solve d = 5*x + 5*a, -13 = 3*x + 4*a - c for x. 5 Let j = 71 - 31. Suppose 5*i = i + j. Solve -2*h = x - 0*h + 6, i = -x - 4*h for x. -2 Suppose -40 = -3*p + k, 2*p + 3*p - 2*k - 68 = 0. Solve -2*d + 2*c - c = 4, p = -4*d + 3*c for d. 0 Suppose -3*i - 16 = -7*i. Let t be ((-16)/40)/(2/(-10)). Suppose -3*g = -t*o - 4*g, -5*o = 5*g + 5. Solve -i = s - k - o, 0 = -4*s + 2*k - 10 for s. -2 Let x(n) = 3*n. Let o = 1 + -3. Let h = 4 + o. Let l be x(h). Solve -q - 2*r = -l*r + 12, 4*r - 12 = 5*q for q. 0 Let j(i) = 2 - 3 + i + 0. Let r be j(4). Suppose r*c - 9 = u, 5*u + c - 3 = u. Solve -4*z + 3*x - 6 = -z, x + 3 = u for z. -5 Let g(o) = o**3 + o. Let l be g(1). Suppose -n + 17 = 4*y, -l = -4*y + 3*y. Solve 3*p + 3*c = n, 4*c = p + 3 + 14 for p. -1 Suppose 2*l = t - 1, -5*t = -2*l - 15 + 2. Suppose -2*h - t = 3*g - 5, 0 = -5*h - 3*g + 14. Let c = -2 + h. Solve -n + c*u = -0*n + 1, 5*n = -2*u - 5 for n. -1 Suppose -6*a = -5*a - 5. Solve w - 29 = 5*n - 0*n, 2*w + 17 = -a*n for n. -5 Let o(t) = -t**3 + 10*t**2 + 12*t - 7. Let v = 1 + 10. Let x be o(v). Solve -p + 0*j + 2*j = -4, -5*p = -x*j - 8 for p. 0 Let i be 24/(-2 - -4) + -2. Suppose 2*a - 3*w + 16 = w, -5*a - w + 15 = 0. Suppose a = -p + 4. Solve 16 = 2*u - 4*r, -2 + i = 5*u - p*r for u. 0 Suppose -4 - 4 = -2*m. Suppose -3*q = q - m. Suppose -4*g + 15 = -q. Solve -3*f + 5*l + 13 = 0, -l - g = -f - f for f. 1 Suppose -16*r + 11*r = 0. Suppose 2*f + 2*f = 32. Let o be f/(-6)*6/(-4). Solve -2*p + o*h + r = -6, -30 = -4*p - 5*h for p. 5 Suppose 11*b - 15*b = 0. Solve -4*t + 2*s = -14, -t = -b*t - 4*s - 14 for t. 2 Suppose -j = 4*x - 45, 2*j - 28 = -3*x + 12. Solve 3*i = -2*o + i - x, 2*o - 3*i + 5 = 0 for o. -4 Let r(u) = -u**2 + 6*u - 3. Let l be r(5). Let y = 4 + -1. Solve 2*h + l = y*b, -b - 4 = -2*b for h. 5 Suppose 0 = -3*u + 20 - 5, 2*u = 3*g + 4. Let p be 0/(-2)*(-5)/(-10). Solve 4*y + g*b + p*b - 10 = 0, -5*y - 2*b = -12 for y. 2 Let n(o) = -4*o + 31. Let h be n(7). Solve -2*q + 16 = h*y, -16 - 2 = y - 4*q for y. 2 Let t be -2 - 1*(-4)/8*8. Solve t*i + 2*j - 7 - 3 = 0, -2*i = 5*j - 13 for i. 4 Let r(o) be the second derivative of o**3 - 2*o**2 + 6*o. Let s be r(4). Solve 3*k = 5*u + 2*k + s, 0 = 5*u - 5*k for u. -5 Suppose g = 5*p - 2, 4 = -g - g - 4*p. Let t be 1/(g*3/(-12)). Suppose -4*x + 8 = 0, 5*x - t*x - 6 = 3*b. Solve 0 = d - b - 5, d - 1 = -2*q for q. -2 Let b(y) = -y - 8. Let t be b(-8). Let q = 5 + t. Solve 6 = q*l - 3*l, w - 2*l = -7 for w. -1 Let l(b) = b - 8. Let r be l(7). Let h = 2 - r. Suppose -h*z + y = -11, 0*z - z = -5*y + 1. Solve z*u = 12, -j + 2*j + 5*u - 10 = 0 for j. -5 Let y(g) = g**2 + 2*g + 14. Let i be y(0). Solve 4*c + i = -3*p, -c - c + 5*p - 20 = 0 for c. -5 Let g = 24 + -21. Solve -4*a - 3*f + 16 = a, g*a + 3*f - 6 = 0 for a. 5 Let b = -25 - -51. Let z = b + -22. Solve 1 = 2*q + 7, 0 = -2*v - 2*q + z for v. 5 Suppose 0 = -2*f - 2*z + 30, 0 = -2*f + z - 2*z + 35. Solve -f = 5*k, 3*u - 3*k + 7 = -4*k for u. -1 Let a = -80 + 82. Solve -12 = -d - a*n, -4*d - 4*n + 13 = -15 for d. 2 Suppose 0 = 4*o - b - 11, -5*o = 2*b - 9 - 21. Suppose -z = -8 + o. Solve -k - 3*k - 12 = 5*m, 2*k + z*m = -6 for k. -3 Suppose -5 = -3*o - a, 7*a = -5*o + 9*a + 23. Solve 3*q - o*y + 5 = 20, -y = q - 3 for q. 4 Suppose -f + 0 = -h - 3, 2*f - 5*h = 0. Solve -2*n = -4*r + 4, -3 = 2*n + f for r. -1 Let i(f) = -f**3 - 3*f**2 + 5*f + 5. Let j be i(-4). Suppose -v = -3 - j. Solve -4*a = -3*w - 16, v*a + 2*w = 4*w + 12 for a. 1 Suppose 3*f - 15 = -0*f. Suppose f*j + 22 = 4*o, 2*o + 0*o = -j + 4. Solve -3*a - 5*q = a + o, -5*a + 5*q + 30 = 0 for a. 3 Suppose 2*q = -0*q + 4. Solve 3*z - 10 = -q*y, -6*y = -z - 2*y - 6 for z. 2 Suppose 10*t - 7*t = 12. Solve -6 = 5*i + 2*x, -t*x = i + i + 12 for i. 0 Suppose 0 = -u - u + 12. Suppose -u*k = -3*k - 6. Solve 3*h - 21 = -k*b, h - 3*h + 22 = 4*b for b. 3 Let o = 22 + -11. Let s be 1*(-3)/(-12) - 7/(-4). Solve -x + o = s*t, 4*x = -x + 15 for t. 4 Let v(d) be the first derivative of 3*d**2 + 1/3*d**3 - 1 + 5*d. Let j be v(-6). Solve 0 + 28 = -4*p + 4*s, 4*p - j*s + 33 = 0 for p. -2 Suppose 7 = 14*x - 77. Solve 5*c = 2*f + 5, 5*c + x = 5*f - 4 for c. 3 Suppose 0 = -3*d - d + 8. Let b be ((-3)/d)/(12/(-40)). Let l be 2/(-9) + 60/27. Solve -6 = b*r - 3*r + w, -l*r - 3*w - 6 = 0 for r. -3 Suppose j = y - 12 - 8, -5*j = 5*y - 110. Solve 2*f - 3*x - y = -f, 3*x = 2*f - 17 for f. 4 Suppose -12*u + 16 = -4*u. Solve 0*q = -4*q + 5*t - 12, u*q - 4*t = -6 for q. -3 Suppose 2*k + 12 = -4. Suppose 5*u = -0*u + 50. Let h = k + u. Solve -4*d + 1 = z, 5*d + 6*z = h*z + 15 for d. -1 Let w = 31 + -52. Let i be (36/w)/((-2)/7). Solve 21 = 5*m + 2*h, -4*m + 6*h + i = 4*h for m. 3 Suppose -3*n + 22 = -17. Suppose -j + n = -3*l, -5*l + 5 = 6*j - j. Solve 5*s = s + j*v, -5*v - 9 = -2*s for s. -3 Suppose 3*r - 12 = -0*r. Suppose r*n = 35 + 5. Solve -5*c - 4 = 3*k, -3*k - 2 = -3*c + n for c. 1 Suppose j = -13 + 15. Suppose 2*h - 1 = d - 5, 2*d - 8 = -3*h. Solve -j*c + 5*o + 15 = 0, -d*c + 4 = -o + 19 for c. -5 Let y be 1326/33 + 4/(-22). Let c be (-18)/12*y/(-3). Suppose 2*x + 2 - c = 0. Solve -4*h = -3*d + x, 1 = 3*d + 2*h - 8 for d. 3 Suppose 10*s - 5*s = -110. Let u = s + 36. Let q be (-4)/u - 312/(-14). Solve -4*t + 2*t + 3*j = -q, -11 = t + 4*j for t. 5 Suppose -3*h - 5*i = 2*h + 20, -4*h = -i + 6. Let a be 7 - 5 - (3 + h). Solve -5*l + 3*c = -a, -4*l + c - 1 + 6 = 0 for l. 2 Let r = 76 - 53. Solve 25 = -5*z, -w - w = -3*z - r for w. 4 Suppose -o = -5*r + o + 12, -5*r + 3*o = -13. Solve -9 = 3*p, -4*f - p = -r*f - 3 for f. 3 Let f = -16 - -19. Solve -f*i - 6 = -21, -5*w = -4*i + 5 for w. 3 Let n(l) be the first derivative of l**4/4 + 5*l**3/3 - 7*l**2/2 + l + 1. Let v be n(-6). Solve -6 = -3*f, 2*u + 3*f = v*u + 31 for u. -5 Let k(u) = u**2 - 2*u + 3. Let c be k(2). Let m(q) = 19*q**3 - q**2 + q. Let t be m(1). Let f = t - 14. Solve g = 4*h - f - 19, -2*g = h + c for g. -4 Suppose 39 = -4*r + r + 2*z, -5*r - 43 = 4*z. Let v = r - -21. Let y = -20 + 35. Solve -v = -4*b + 2*b - 2*o, -5*b + 5*o = -y for b. 4 Suppose 5*p = 3*p. Let l be (4 - 0)*(1 - p). Solve 6 = -6*s + l*s - 4*t, 5*s = 3*t - 2 for s. -1 Let y(x) = x**3 - 1 - 4*x + 5 + 4*x**2 - 3. Let a be y(-3). Solve -4*k = -h + k + a, -2*h + 5*k = -19 for h. -3 Let r be (-1)/((-3)/(3/2))*22. Solve 4*k = -4*c - 16, -3*c + r = -2*k - 2 for k. -5 Let j be (-2)/((-6)/9) + -2. Let s be -3 + (-20)/(-3 + j). Solve 0 = 3*a - 4*y + 5*y - 11, -5*a = -4*y - s for a. 3 Let j(w) = w**2 - 6*w + 4. Let v be j(6). Suppose -3*u + 3*k = -60, k - 53 = -4*u - v*k. Solve t - 3 = 3*r - 4*r, -u = -4*t + r for t. 4 Let h be 7 + (-4)/((-5)/(-5)). Solve 0 = -z - q - 6, 4*z = -5*q - h - 25 for z. -2 Let b be (-7)/(-3) + (-2)/6. Let d be (10/(-8))/(2/8). Let k(c) = -c**3 - 4*c**2 + 5*c + 5. Let f be k(d). Solve 0 = -g + b*q - q - f, -q = -3 for g. -2 Suppose 4*g = -2*m + 10, -m = -4*g + 2*g + 7. Solve -2*w = -q - 3, 15 = g*q - w + 3*w for q. 3 Let u(c) = -6*c**3 - c**2 - c - 1. Let t be u(-1). Let k(b) = b. Let y be k(t). Let m be (120/(-36))/((-2)/18). Solve m = -4*v - y*r, -3*v - 3*r = r + 23 for v. -5 Suppose -123 = -5*l + 5*z - 48, -l - z = -21. Let c = 3 + 2. Solve -7*g - 5*y = -4*g + l, -10 = -c*g + 5*y for g. -1 Let r = -5 - -7. Let s = 2 + r. Solve 5*x - 2 = -y + s, -2 = -y - x for y. 1 Suppose 3*s - 5*p - 13 = 61, 3*s = -4*p + 38. Solve 0 = -w + 4, 3*z = -3*w + 3 + s for z. 3 Let m(i) = i**2 + i - 6. Let t be m(4). Solve -t = -2*f + 3*b, 2*f - b - 18 = -2*f for f. 4 Suppose 2*h + 3*n + 22 = 0, 0*h = -4*h - 3*n - 32. Let u(r) = -r**3 - 4*r**2 + 3*r - 6. Let w be u(h). Solve 0 = v + v + w, 4*v = -k - 3 for k. 5 Suppose -8 = -4*a - 2*p + 4*p, 5*p + 20 = 2*a. Solve 0 = s + 3*s - 16, a = i - 4*s + 16 for i. 0 Suppos
{ "pile_set_name": "DM Mathematics" }
= 0? -1, 0, 1, 2, 24 What is m in 5*m**4/8 - 7*m**3/8 + m**2/4 = 0? 0, 2/5, 1 What is r in -5*r**4 + 10*r**3 + 65*r**2 + 50*r = 0? -2, -1, 0, 5 Factor 2*s**5/9 + 32*s**4/9 + 58*s**3/9 + 28*s**2/9. 2*s**2*(s + 1)**2*(s + 14)/9 Factor -3*i**5 + 45*i**4 - 144*i**3 - 192*i**2. -3*i**2*(i - 8)**2*(i + 1) Factor -4*o**3 + 44*o**2 - 40*o. -4*o*(o - 10)*(o - 1) Factor 5*y**4/4 + 105*y**3/4 + 195*y**2/4 + 95*y/4. 5*y*(y + 1)**2*(y + 19)/4 Factor 2*b**4 - 16*b**3. 2*b**3*(b - 8) Solve 5*d**2 - 30310*d + 45934805 = 0. 3031 Solve f**4/5 + f**3/5 - 36*f**2/5 - 36*f/5 = 0. -6, -1, 0, 6 Factor o**3 + 513*o**2 + 62331*o - 899197. (o - 13)*(o + 263)**2 Find c such that 4*c**2 - 60*c + 144 = 0. 3, 12 Determine i so that 4*i**3 + 684*i**2 + 7776*i + 22896 = 0. -159, -6 Let 5618*l**4/3 + 424*l**3 - 22400*l**2/3 - 1696*l - 96 = 0. Calculate l. -2, -6/53, 2 Factor -r**2/7 - 20*r/7 + 3. -(r - 1)*(r + 21)/7 Find i, given that 4*i**4 - 36*i**3 + 56*i**2 = 0. 0, 2, 7 Solve -f**4/9 - 727*f**3/9 + 243*f**2 - 2189*f/9 + 730/9 = 0. -730, 1 Determine t so that -3*t**4 - 171*t**3 - 3159*t**2 - 19941*t - 28566 = 0. -23, -9, -2 Factor -2*b**2/13 - 64*b/13 + 136/13. -2*(b - 2)*(b + 34)/13 Factor -2*n**2/5 - 284*n/5 + 286/5. -2*(n - 1)*(n + 143)/5 Factor d**3 + 181*d**2 - 184*d - 364. (d - 2)*(d + 1)*(d + 182) Factor v**3/4 + 31*v**2/4 + 159*v/4 + 225/4. (v + 3)**2*(v + 25)/4 Factor -m**3/5 - 44*m**2/5 - 112*m - 320. -(m + 4)*(m + 20)**2/5 Let -2*o**3 + 10*o**2 + 8*o - 40 = 0. What is o? -2, 2, 5 Determine x so that 35*x**4 + 200*x**3 + 360*x**2 + 160*x - 80 = 0. -2, 2/7 Factor 2*b**2 - 149*b/2 + 37/2. (b - 37)*(4*b - 1)/2 Let -f**3/5 - 57*f**2/5 + 306*f/5 - 248/5 = 0. What is f? -62, 1, 4 Factor -4*l**3 + 40*l**2 - 68*l + 32. -4*(l - 8)*(l - 1)**2 Find p such that -12*p**4/7 + 18*p**3/7 + 24*p**2/7 - 18*p/7 - 12/7 = 0. -1, -1/2, 1, 2 Suppose -2*z**2/5 + 2*z + 48/5 = 0. Calculate z. -3, 8 Factor 4*u**3/3 - u**2/3 - 38*u + 72. (u - 4)*(u + 6)*(4*u - 9)/3 Determine t, given that -4*t**4 + 482*t**3 + 1720*t**2 + 1978*t + 744 = 0. -3/2, -1, 124 Find a, given that 5*a**5 - 25*a**4 + 15*a**3 + 85*a**2 - 140*a + 60 = 0. -2, 1, 2, 3 Determine h, given that h**4/4 - 117*h**3 - 1179*h**2/2 - 827*h - 1419/4 = 0. -3, -1, 473 Solve -2*w**4 + 494*w**3 - 40338*w**2 + 1060906*w + 2287148 = 0. -2, 83 Determine w so that w**5/2 + 3*w**4 - 15*w**3/2 + 4*w**2 = 0. -8, 0, 1 Solve 2*y**3/7 - 50*y**2/7 - 24*y = 0. -3, 0, 28 Suppose -z**4/4 + 37*z**3 - 73*z**2 = 0. Calculate z. 0, 2, 146 Factor -2*o**3/9 + 14*o**2/3 - 26*o/3 + 38/9. -2*(o - 19)*(o - 1)**2/9 Factor -p**4 + 108*p**3 - 2806*p**2 - 5940*p - 3025. -(p - 55)**2*(p + 1)**2 Find b, given that 5*b**3 - 100*b**2 + 65*b + 5070 = 0. -6, 13 Suppose -2*f**5/7 + 10*f**4/7 + 2*f**3/7 - 10*f**2/7 = 0. What is f? -1, 0, 1, 5 Factor -x**4/6 + 167*x**3/6 - 1148*x**2 - 1176*x. -x*(x - 84)**2*(x + 1)/6 Determine a so that -2*a**4 + 110*a**3 + 14*a**2 - 758*a - 660 = 0. -2, -1, 3, 55 Factor -2*d**3/5 - 6*d**2 + 32*d/5. -2*d*(d - 1)*(d + 16)/5 Determine s, given that -3*s**5 - 1431*s**4 - 174192*s**3 - 846780*s**2 - 1342368*s - 668352 = 0. -236, -2, -1 Determine l, given that -l**2/6 + 807*l/2 = 0. 0, 2421 Determine j so that -4*j**3 - 24*j**2 - 48*j - 32 = 0. -2 Factor -2*t**4 + 78*t**3 - 434*t**2 - 6486*t - 10580. -2*(t - 23)**2*(t + 2)*(t + 5) Find w such that 156*w**3 + 101*w**2 - 285*w + 28 = 0. -7/4, 4/39, 1 Find k, given that 2*k**3/7 - 264*k**2/7 + 8712*k/7 = 0. 0, 66 Factor 5*g**2 - 61060*g + 186416180. 5*(g - 6106)**2 Solve v**5 - 8*v**4 - 76*v**3 - 118*v**2 + 75*v + 126 = 0 for v. -3, -1, 1, 14 What is h in 40*h**4 - 55*h**3 - 170*h**2 - 75*h = 0? -1, -5/8, 0, 3 Find u such that 68*u**2/13 - 2*u/13 = 0. 0, 1/34 Factor m**2/4 - 717*m/4. m*(m - 717)/4 Factor -r**3 + 20*r**2 - 79*r + 60. -(r - 15)*(r - 4)*(r - 1) Factor -n**5/4 + 5*n**4/4 - n**3. -n**3*(n - 4)*(n - 1)/4 Determine d, given that -2*d**3/9 - 50*d**2/9 - 388*d/9 - 880/9 = 0. -11, -10, -4 Find w such that -3*w**4 + 180*w**3 - 300*w**2 - 72000*w - 480000 = 0. -10, 40 Find p such that 2*p**5/3 + 50*p**4/3 + 14*p**3 - 146*p**2/3 - 44*p/3 + 32 = 0. -24, -2, -1, 1 Factor -3*a**4/4 - 3*a**3/2 + 15*a**2/4 + 9*a/2. -3*a*(a - 2)*(a + 1)*(a + 3)/4 Factor f**3/3 + 53*f**2 + 770*f/3. f*(f + 5)*(f + 154)/3 Factor -x**4/3 - 32*x**3/3 - 197*x**2/3 - 70*x/3 + 400. -(x - 2)*(x + 5)**2*(x + 24)/3 Determine d, given that -81*d**4/5 - 153*d**3/5 - 57*d**2/5 + 21*d/5 + 6/5 = 0. -1, -2/9, 1/3 Determine j, given that -j**4/7 + 327*j**3/7 = 0. 0, 327 Factor d**3/6 - 249*d**2/2 - 749*d/3. d*(d - 749)*(d + 2)/6 Factor 18*m**3/13 - 40*m**2/13 + 8*m/13. 2*m*(m - 2)*(9*m - 2)/13 Factor -w**4/7 - 7*w**3 - 141*w**2/7 - 139*w/7 - 46/7. -(w + 1)**3*(w + 46)/7 Solve 4*i**5 - 36*i**4 + 44*i**3 + 276*i**2 - 720*i + 432 = 0 for i. -3, 1, 2, 3, 6 Suppose -2*p**2/7 - 3084*p/7 - 1188882/7 = 0. Calculate p. -771 Let 2*c**3 - 122*c**2/5 + 224*c/5 - 8 = 0. Calculate c. 1/5, 2, 10 Factor b**2/4 - 301*b/2 + 90601/4. (b - 301)**2/4 Factor -4*u**2/7 + 388*u/7. -4*u*(u - 97)/7 Factor 4*o**4 + 2496*o**3 - 10068*o**2 - 12560*o. 4*o*(o - 5)*(o + 1)*(o + 628) Determine m, given that -2*m**2/3 - 68*m/3 - 578/3 = 0. -17 Suppose 4*q**4 + 1924*q**3 + 309120*q**2 + 16691200*q + 16384000 = 0. What is q? -160, -1 Let 4*h**4 + 76*h**3 - 48*h**2 - 848*h + 1216 = 0. Calculate h. -19, -4, 2 Factor n**4/3 - n**3 + 2*n**2/3. n**2*(n - 2)*(n - 1)/3 Solve t**5/3 - 22*t**4/3 + 64*t**3 - 832*t**2/3 + 1792*t/3 - 512 = 0 for t. 4, 6 Suppose -2*n**4/13 - 6*n**3/13 - 2*n**2/13 + 6*n/13 + 4/13 = 0. Calculate n. -2, -1, 1 Factor -16*s**2 + 6*s + 10. -2*(s - 1)*(8*s + 5) Factor -m**2/7 + 30*m - 416/7. -(m - 208)*(m - 2)/7 Suppose -3*l**2 - 351*l = 0. Calculate l. -117, 0 Determine c so that -c**4/3 - c**3/3 + 2*c**2 = 0. -3, 0, 2 Factor -3*i**2 - 477*i + 966. -3*(i - 2)*(i + 161) Factor 4*i**5 - 1532*i**4 - 3076*i**3 - 1540*i**2. 4*i**2*(i - 385)*(i + 1)**2 Determine l so that -1156*l**2 - 272*l/3 - 16/9 = 0. -2/51 Factor -2*j**2/9 - 266*j/9 + 268/9. -2*(j - 1)*(j + 134)/9 Determine j so that -2*j**3 - 6*j**2 + 2*j + 6 = 0. -3, -1, 1 Factor -32*z**3 + 124*z**2 - 112*z - 16. -4*(z - 2)**2*(8*z + 1) Factor 4*d**3 + 70*d**2 + 352*d + 456. 2*(d + 2)*(d + 6)*(2*d + 19) Factor 2*h**5 - 14*h**4 + 16*h**3 + 32*h**2. 2*h**2*(h - 4)**2*(h + 1) Factor -5*g**3 - 7430*g**2 - 29660*g - 29640. -5*(g + 2)**2*(g + 1482) Factor 5*o**3 - 650*o**2 - 5*o + 650. 5*(o - 130)*(o - 1)*(o + 1) Find u, given that u**3 + 5*u**2 - 13*u + 7 = 0. -7, 1 Determine g so that g**2/2 + 1225*g/2 = 0. -1225, 0 Factor s**2/3 - 34*s + 867. (s - 51)**2/3 Let f**2/3 + 11*f - 3034/3 = 0. What is f? -74, 41 Let 4*c**5 - 12*c**4 - 4*c**3 + 12*c**2 = 0. Calculate c. -1, 0, 1, 3 Find z, given that -16*z**5 + 36*z**4 + 200*z**3 + 108*z**2 - 40*z = 0. -2, -1, 0, 1/4, 5 Solve -3*a**2/4 + 339*a/4 + 351 = 0 for a. -4, 117 Determine f, given that -4*f**3 + 5644*f**2 - 5632*f - 11280 = 0. -1, 2, 1410 Factor -4*t**2 + 32*t - 28. -4*(t - 7)*(t - 1) Let 3*s**3 + 86*s**2/3 = 0. What is s? -86/9, 0 Factor 4*k**5/5 + 48*k**4/5 + 188*k**3/5 + 208*k**2/5 - 192*k/5 - 256/5. 4*(k - 1)*(k + 1)*(k + 4)**3/5 Factor 3*k**3 + 48*k**2 + 39*k - 90. 3*(k - 1)*(k + 2)*(k + 15) Determine t, given that -4*t**2 + 124*t - 120 = 0. 1, 30 Let -f**5/3 - 34*f**4/3 - 61*f**3/3 + 100*f**2/3 + 124*f/3 - 128/3 = 0. Calculate f. -32, -2, 1 Determine r so that -42*r**3 + 759*r**2 - 22620*r/7 - 12675/7 = 0. -1/2, 65/7 Solve -2*k**3/5 - 454*k**2/5 - 180*k = 0 for k. -225, -2, 0 Factor 5*d**3/2 - 19*d**2 - 61*d/2 - 9. (d - 9)*(d + 1)*(5*d + 2)/2 What is q in -2*q**4 + 38*q**3 - 136*q**2 - 440*q = 0? -2, 0, 10, 11 Solve -2*u**3/9 - 58*u**2/9 + 212*u/9 + 640/9 = 0 for u. -32, -2, 5 Factor -r**3 - 4421*r**2 - 4884099*r + 4888521. -(r - 1)*(r + 2211)**2 Solve 2*u**3 + 12*u**2 - 162*u + 260 = 0 for u. -13, 2, 5 Let -3*q**5 + 69*q**4 - 342*q**3 - 864*q**2 + 2592*q = 0. Calculate q. -3, 0, 2, 12 Solve -2*c**2/5 - 132*c/5 - 26 = 0 for c. -65, -1 Factor -2*f**2 + 18*f. -2*f*(f - 9) Factor -q**2/5 + 28*q/5 - 132/5. -(q - 22)*(q - 6)/5 Let 4*i**2 + 1736*i + 188356 = 0. Calculate i. -217 Solve -3*h**3 - 570*h**2 - 2241*h - 1674 = 0. -186, -3, -1 Find b, given that 3*b**5/8 - 741*b**4/8 - 1125*b**3/4 - 3*b**2/2 + 375*b = 0. -2, 0, 1, 250 Factor -3*k**3/4 + 15
{ "pile_set_name": "DM Mathematics" }
70*y - 130? 8355522924*y**2 Find the third derivative of 10679691*w**3 + 39511760*w**2. 64078146 What is the first derivative of -d**3*r - 11*d**3 + 2*d**2*r + 1122513*d**2 + d*r - 43888339*r wrt r? -d**3 + 2*d**2 + d - 43888339 What is the third derivative of -1017559*a**6 - 10995416*a**2 wrt a? -122107080*a**3 Find the third derivative of -u*x**4 - 32*u*x**2 - 18*u*x + 2171*u - 397885166*x**4 - 14 wrt x. -24*u*x - 9549243984*x What is the first derivative of -157259*q + 15271019 wrt q? -157259 Find the third derivative of 7825*h**5*x + 9901*h**4 + h**3*x - 3*h**2*x - h*x + 1350936 wrt h. 469500*h**2*x + 237624*h + 6*x What is the third derivative of -17673*i**4*x**2 - 737*i**4*x + 5*i**2*x**2 - 23*i**2*x + 5*i**2 + 850*i*x**2 - 4*x wrt i? -424152*i*x**2 - 17688*i*x Find the second derivative of 68833393*n**2 + 45221347*n wrt n. 137666786 What is the second derivative of -258*k**5 + 26285*k**2 + 2*k - 7578715 wrt k? -5160*k**3 + 52570 Find the first derivative of 24699266*j**4*l - 13502138*l wrt j. 98797064*j**3*l What is the first derivative of -31252553*b + 21994637? -31252553 Find the second derivative of -276088*o**3 - 12*o**2*y**3 + 3049*o + 2*y**3 - y**2 - 96*y wrt o. -1656528*o - 24*y**3 What is the first derivative of -2*c**3 - 144754261*c**2*i**2 - 33*i**2 + i + 705780 wrt c? -6*c**2 - 289508522*c*i**2 What is the second derivative of -6473943*q**3 + 5519385*q? -38843658*q What is the derivative of 5*w**2 + 114041447*w - 580808866 wrt w? 10*w + 114041447 What is the first derivative of u*w**2 + 29299*u*w + 28545149*u + 7*w**2 + w + 2 wrt w? 2*u*w + 29299*u + 14*w + 1 What is the derivative of -722910*s**2 + 5*s - 812043? -1445820*s + 5 What is the second derivative of 647*i*n**3 + 19907*i*n**2 - 24*i*n + 5695*n - 11 wrt n? 3882*i*n + 39814*i Find the third derivative of 83712410*a**3 - 1678*a**2 - 2*a + 1716 wrt a. 502274460 What is the second derivative of -7674878*j**2 + j - 78542? -15349756 Find the third derivative of -5128167*d**4 - 78*d**2 + 309*d + 3 wrt d. -123076008*d What is the first derivative of -375*v*y**2 + 4609778*v + 2447*y**2 wrt y? -750*v*y + 4894*y Find the third derivative of -53*s**2*x**3 - 64*s**2*x**2 - s**2 - 3*s*x**3 - 2*s*x**2 + s*x - 6234*x**3 - 13245*x**2 wrt x. -318*s**2 - 18*s - 37404 Find the third derivative of 1621693*y**3 - 3*y**2 + 352041*y - 24. 9730158 Find the third derivative of 1605*r**6 - 7642*r**4 + 17974467*r**2 wrt r. 192600*r**3 - 183408*r What is the first derivative of 474647923*r - 402944379? 474647923 Differentiate -66633942*g*v - 68*v - 111265 with respect to g. -66633942*v What is the third derivative of 250*c**4*u - 1609*c**4 + 6*c**3 - c**2*u - 189124*c**2 + 21*u + 1 wrt c? 6000*c*u - 38616*c + 36 Find the third derivative of 236148068*t**5 - 16447771*t**2 + 2*t + 1 wrt t. 14168884080*t**2 Find the second derivative of -p**3*q + 355*p**3 + p**2*q - 38*p**2 - 51*p*q - 7749*q wrt p. -6*p*q + 2130*p + 2*q - 76 Find the third derivative of -814152*k**5*r - 17*k**4*r - 328276*k**2*r wrt k. -48849120*k**2*r - 408*k*r Find the second derivative of b**4 + 18789112*b**3 - 657697*b + 5 wrt b. 12*b**2 + 112734672*b Find the third derivative of -1451792*k**4 + k**3 - k**2 + k - 6321170. -34843008*k + 6 Find the second derivative of -2872*n**3 - 18311*n**2 - 272077*n - 962 wrt n. -17232*n - 36622 Find the second derivative of -11050243*j**2 + 281157*j wrt j. -22100486 What is the first derivative of -84060612*k + 129895469 wrt k? -84060612 What is the first derivative of 2203536*k**4 - 13*k**3 - 2*k**2 + 107780765? 8814144*k**3 - 39*k**2 - 4*k What is the third derivative of -9*p**4 - 5019449*p**3 + 9*p**2 + 230811*p - 2 wrt p? -216*p - 30116694 What is the second derivative of -1312859*h**2 + 6848454*h wrt h? -2625718 What is the third derivative of 188543669*p**3 + 3*p**2 - p - 121074? 1131262014 Find the second derivative of -5*a*c**2 - 445*a*c + 3*a + 174578*c**2 + 6*c - 14 wrt c. -10*a + 349156 Find the second derivative of -603060*g*n**2 - 371*g*n + 3358 wrt n. -1206120*g Differentiate 614059832*y + 298968107 wrt y. 614059832 What is the third derivative of -179593773*u**3 - 4*u**2 + 3373*u - 342? -1077562638 What is the third derivative of 3*c*l**4 - 30*c*l**3 + 125845*c*l + 3*c + 1710*l**4 + 2*l**3 + l**2 wrt l? 72*c*l - 180*c + 41040*l + 12 What is the second derivative of 3*h**4 + 9451785*h**3 + 77169*h - 59 wrt h? 36*h**2 + 56710710*h Find the second derivative of -5297*z**5 - 212*z**2 - 16707474*z wrt z. -105940*z**3 - 424 Find the second derivative of -3790*a**3*p**2 - 115*a**3*p - 583*a*p**2 + 1062 wrt p. -7580*a**3 - 1166*a Find the third derivative of -1278752984*s**3 + 372581*s**2 + s - 143. -7672517904 Find the third derivative of 805800*a**3*t + 4*a**3 - 6873*a**2 - 583*t wrt a. 4834800*t + 24 Differentiate 829*k**3 - 5*k**2 + 436*k + 103244179. 2487*k**2 - 10*k + 436 Find the second derivative of 46*m**4 + 469817*m**2 + 20630772*m. 552*m**2 + 939634 Find the second derivative of 54*r**3 - 56815*r**2 + 298228640*r wrt r. 324*r - 113630 Find the third derivative of -65244390*l**4 + 74758754*l**2. -1565865360*l What is the second derivative of 1688*a**5 - 159158*a**3 + 51230*a - 2378 wrt a? 33760*a**3 - 954948*a What is the first derivative of -j**2 - 849428*j - 117214924? -2*j - 849428 What is the third derivative of -13370602*s**4 - 3*s**2 - s + 61970? -320894448*s Differentiate 3*p**3 - 1089866*p**2 - 12298266 with respect to p. 9*p**2 - 2179732*p Find the third derivative of 6603878*x**6 - 2*x**2 + 12060*x + 194. 792465360*x**3 What is the third derivative of -16954093*o**3*r + 13*o**2*r + 494859*r wrt o? -101724558*r Differentiate 99517459*u**3 + 100842070 with respect to u. 298552377*u**2 What is the third derivative of -5530885*l**6 + l**2 - 109481*l? -663706200*l**3 Find the first derivative of -37678*z**2 + 14*z - 104877 wrt z. -75356*z + 14 Find the third derivative of -65336604*u**4 + 713331702*u**2. -1568078496*u Find the third derivative of 72386387*p**6 - 9*p**2 + 83*p - 642. 8686366440*p**3 What is the second derivative of -27673189*h**3 - 20770862*h wrt h? -166039134*h Find the first derivative of -30073885*q**2 - 8479560. -60147770*q What is the second derivative of -350*l**2*u**2 + 284322*l**2*u - 169*l*u**2 + 2*l*u - 5*l + 7*u**2 - 264 wrt l? -700*u**2 + 568644*u Find the second derivative of -467095773*c**2*h + 13603*c*h - 1274*h wrt c. -934191546*h What is the third derivative of 78*k**3*y**3 + 3*k**3*y**2 + 253390*k**3 + 2*k**2*y**3 - 424134*k*y**3 - 10*k wrt y? 468*k**3 + 12*k**2 - 2544804*k What is the third derivative of -705*i**2*v**3 - 20*i**2*v - 188569*i*v**3 + 3894*i*v**2 - 51*v wrt v? -4230*i**2 - 1131414*i What is the third derivative of 129722*i**2*o**3 - i**2*o**2 - 8221*i**2*o + 9*i*o**5 - 12*i*o**2 - 180*o wrt o? 778332*i**2 + 540*i*o**2 Find the second derivative of 16354012*n**2*t**2*v**2 + 76223*n**2*t**2 + n**2*v**2 - n*t**2*v + 102*n*t*v wrt v. 32708024*n**2*t**2 + 2*n**2 What is the first derivative of -64196298*v**4 + 84770002 wrt v? -256785192*v**3 What is the second derivative of 114162*c**3 + 24*c**2 + 6973873*c - 1? 684972*c + 48 What is the second derivative of 221100155*j**2 - 1044204*j + 42? 442200310 What is the first derivative of -34052885*g**3 - 102620453? -102158655*g**2 Find the third derivative of -5935171*i**5 - 3*i**3 + 63310819*i**2. -356110260*i**2 - 18 Find the second derivative of -7489507*c**5 - 2984459*c. -149790140*c**3 Find the third derivative of 403454*i**3*k**4 - 28*i**3 + 113*i**2*k**2 + 534*i**2*k - 40*i*k**5 wrt k. 9682896*i**3*k - 2400*i*k**2 What is the second derivative of -16*v*z**4 - 2*v*z + 183492*z**5 - 9148508*z wrt z? -192*v*z**2 + 3669840*z**3 What is the second derivative of -3438*f**5*z**3 + 370*f**5 - 232*f*z**3 - 2*f*z**2 - 2*z**3 - 92*z**2 + 1 wrt f? -68760*f**3*z**3 + 7400*f**3 What is the second derivative of 21743534*q**2 - 91*q + 131842 wrt q? 43487068 What is the second derivative of -4*b**3*r*s**2 + 2*b**3*r*s + 628741*b**3*s**2 - 4*b**2 - 23*r*s + 122 wrt s? -8*b**3*r + 1257482*b**3 What is the third derivative of -55318934*f**4 + 93538452*f**2? -1327654416*f Find the third derivative of 13418406*f**2*r**3 + 1243*f**2*r - 6*f**2 + 3285*f*r**2 + f*r + 2*r**5 wrt r. 80510436*f**2
{ "pile_set_name": "DM Mathematics" }
= -v + c + 5. What is the remainder when 115 is divided by v? 1 Let k(q) = 25*q**2 + 22*q + 1. Let c be k(10). Suppose 0 = -11*l + 150 + c. What is the remainder when l is divided by 33? 30 Let g = 207 - 148. What is the remainder when g is divided by 13? 7 Let t(m) = 4*m**2 - 6*m + 4. Calculate the remainder when t(4) is divided by ((-46)/(-5))/(2/5). 21 Let f = -135 + 318. Calculate the remainder when f is divided by 47. 42 Let i = 59 + -31. Calculate the remainder when (-3161)/(-87)*(0 + 3) is divided by i. 25 Suppose -4*u + 2*u + n - 61 = 0, n = -3*u - 94. Let o = 56 + u. Let f = -23 + 32. What is the remainder when o is divided by f? 7 Suppose -4*h - m + 108 = 0, 5*h - 67*m = -71*m + 146. Calculate the remainder when 80 is divided by h. 2 Suppose 4*b = 5*f + 53 - 18, 2*b + 4*f = -2. Calculate the remainder when 29 is divided by 100/(-6)*(b + (-310)/50). 9 Suppose 52 = 4*u - w, 2*u + 2*w - 3*w - 24 = 0. Let t = u + -11. Suppose t*x = -45 + 264. Calculate the remainder when x is divided by 19. 16 Suppose 51 = -a + 66. Suppose a*n - 24 = 14*n. What is the remainder when 67 is divided by n? 19 Let g = 424 - 183. Calculate the remainder when g is divided by 49. 45 Suppose 0 = -3*f + 5*f - 8. Let z(j) = -j**3 - j**2 - 26*j - 108. Calculate the remainder when z(-4) is divided by f. 0 Let o(w) = 5*w**2 + 7*w + 3. Let d(v) = -5*v**2 - 6*v - 2. Let q(c) = -3*d(c) - 2*o(c). What is the remainder when q(-3) is divided by 7? 5 Suppose -3*o = -8*o. Suppose 0*b + 4*b - 40 = o. What is the remainder when (-4 + (-8)/(-6))*-6 is divided by b? 6 Let z = 18 + -13. Suppose -z*l + 3*p - 339 = 356, 558 = -4*l + 2*p. Let x = l + 203. What is the remainder when x is divided by 13? 9 Suppose 0 = -0*n - 3*n + 81. Calculate the remainder when (-406)/(-4) + (-79)/158 is divided by n. 20 Suppose m - 20 + 15 = 0. Suppose 4*p + 2*h = 200 + 46, 0 = -m*p - h + 312. Calculate the remainder when p is divided by 16. 15 Let g be (-1 + 70/3)/((-9)/(-54)). Suppose -l - l = -g. Calculate the remainder when l is divided by 17. 16 Suppose 4*s - 94 = -26. Let o = 36 - s. Calculate the remainder when 30 is divided by o. 11 Let h = -1469 - -1878. What is the remainder when h is divided by 38? 29 Let a(w) = w**2 - 2*w - 11. Let i(u) = 4*u + 5*u**2 + u**3 - 1 - 5*u**2. Calculate the remainder when i(3) is divided by a(6). 12 Suppose 2*o = 3*o - 38. Let t(s) = -s**2 - 3*s + 4. Let x be t(-7). Let d = o + x. What is the remainder when 26 is divided by d? 12 Suppose -t + 6 = t. Suppose t = g - 12. Calculate the remainder when g is divided by 8. 7 Suppose 3*s + 2*j - 32 = 0, 4*j = j - 15. Suppose -2*y = -597 + 491. What is the remainder when y is divided by s? 11 Let a be 3 - (-9)/(-4 - -1). Suppose 140 = 4*l + 4*r, 146 = 4*l + r - a. Suppose 3*t = l - 1. Calculate the remainder when 47 is divided by t. 11 Suppose 0 = 24*s - 25*s + 21. Calculate the remainder when 141 is divided by s. 15 Let y = 7 - -3. Suppose -y = -26*n + 28*n. Let l(m) = -4*m - 9. What is the remainder when l(n) is divided by 6? 5 Let r = 12 - -8. Suppose 0 = 5*q + w - 77, 4*w + r - 8 = 0. Suppose 0 = 3*k - 2*g - 135, k + g - 21 = 24. Calculate the remainder when k is divided by q. 13 Let r be ((-6)/(-5))/2 + 135/25. Suppose 9*d = r*d + 21. What is the remainder when 19 is divided by d? 5 Suppose -5*s - 130 = 35. Let d = -144 + 190. Let x = d + s. Calculate the remainder when x is divided by 4. 1 Calculate the remainder when 16/(-6)*((-3990)/(-8))/(-19) is divided by 45. 25 Suppose 2*m = v + 176, v - 90 = 3*m - 354. What is the remainder when m is divided by 4? 0 Let f = -10 + 18. Let s(x) = -9*x - 3. Let u(b) = b. Let y(o) = 3*s(o) + 21*u(o). Calculate the remainder when y(-5) is divided by f. 5 Suppose 33*y - 35*y - 5*i = -52, -4*y + 3*i + 78 = 0. What is the remainder when 167 is divided by y? 20 Let v(j) = -1 - 3*j + 3 + 0 + 2. What is the remainder when 29 is divided by v(-2)? 9 Let c(k) = 3*k**2 - 130*k - 326. Calculate the remainder when c(46) is divided by 29/2 - (-2)/(-4). 0 Let v = 14 + -23. Calculate the remainder when ((-3)/v)/((-5)/(-945)) is divided by 16. 15 Suppose -3*l - 215 + 2 = 0. Let f = 85 + l. Calculate the remainder when 52 is divided by f. 10 Suppose p - f = -0*f + 251, 3*f + 1263 = 5*p. Suppose -3*n + p = -0*n. Suppose 5*t = n + 100. What is the remainder when t is divided by 13? 11 Let g = -29 - -41. Let d = -29 - -64. Calculate the remainder when d is divided by g. 11 Suppose -578*l = -573*l - 20. Let z = -191 - -272. Suppose -l*j + 7*j = z. Calculate the remainder when 53 is divided by j. 26 Suppose 3*l = -d + 329, -94 = -l - 3*d + 21. What is the remainder when l is divided by 16? 13 Suppose 0 = -4*r - 5*p + 59, 0 = 6*r - 7*r - 5*p + 26. What is the remainder when 85 is divided by r? 8 Suppose 4*q = 2*l + 3*l + 395, -3*l = 5*q - 466. Calculate the remainder when q is divided by 34. 27 Suppose -21*b = -18*b - 6. Suppose -3*x = -b*x + 546. What is the remainder when 11 is divided by x/(-98) + 6/14? 5 Let b = 208 - 198. What is the remainder when 54 is divided by b? 4 Calculate the remainder when 44 is divided by 2825/105 - (-12)/126. 17 Suppose -2*t - k = -32 - 51, 4*t + 3*k - 165 = 0. Let q = 31 + 4. Let c = q + -12. What is the remainder when t is divided by c? 19 Suppose 16 = 3*o - l, -o - 23 = -5*l - 5. Let r(k) = k**2 - k - 19. Calculate the remainder when r(o) is divided by 147/12 + (-1)/4. 11 Let a be (-2 - -61)*3*3/(-9). Let l = -34 - a. What is the remainder when l is divided by 6? 1 Let u(g) = -4*g - 4. Calculate the remainder when 16 is divided by u(-2). 0 Suppose 3*j + 3*t = 2*t - 169, 0 = -3*j + t - 161. Let d = j + 97. Let u = 66 - d. Calculate the remainder when 95 is divided by u. 23 Suppose 16 = 7*f - 61. Let x = f + 13. Calculate the remainder when x is divided by 9. 6 What is the remainder when (42/(-147))/((-9)/(-42))*-3228 is divided by 105? 104 Let q(m) = -m. Let h(t) = -6*t + 8. Let k(s) = h(s) - 5*q(s). Let x be k(12). What is the remainder when -1 + (28/x)/(-1) is divided by 4? 2 Let a(t) = -3*t**2 - 11*t + 11. What is the remainder when 242 is divided by a(-4)? 4 Suppose 3*k - 3*b = 2*b + 66, 0 = 4*b + 12. Suppose 3*y - 125 = -k. What is the remainder when 105 is divided by y? 33 Suppose d - 82 = -3*o, 2*d = -o + 3*d + 22. Suppose 28 = b - 21. Calculate the remainder when b is divided by o. 23 Let n = -83 - -393. Suppose 0 = 4*t + t - 5*r - n, 3*t - 184 = 5*r. Let b(v) = v**2 - v + 11. What is the remainder when t is divided by b(0)? 8 Let d = 41 + -71. Let b = d + 34. Calculate the remainder when 9 is divided by 15/(-10)*(0 - b). 3 Let l be 45/9 - 2*-1. Let a(y) = -y**2 + 8*y + 6. Suppose -1 - 23 = -6*g. What is the remainder when a(l) is divided by g? 1 Let r = -26 + 34. Suppose -170 = -r*s + 3*s. Calculate the remainder when 65 is divided by s. 31 Let x = 29 - 11. Suppose 0*n + x = n. Calculate the remainder when 53 is divided by n. 17 Let h be 2 + 12/(-4) + 3. Suppose -h*z - 31 + 113 = 0. Let t = z - 31. What is the remainder when t is divided by 4? 2 Let d(m) = 8*m + 4. What is the remainder when d(9) is divided by 21? 13 Let d(x) = 24 - 51 + 28 - 22*x. What is the remainder when 87 is divided by d(-2)? 42 Suppose -g - 3*g + h = -403, -4*h = 5*g - 509. Calculate the remainder when 289 is divided by g. 87 Suppose -l + 1 = q - 2*q, -14 = -5*l - 4*q. Suppose -j + l = -29. Suppose j = -3*a + 172. What is the remainder when a is divided by 16? 15 Let b = -678 + 754. What is the remainder when b is divided by 47? 29 Let n(x) = 68*x - 515. Calculate the remainder when 163 is divided by n(8). 18 Let f = 138 + -132. Let x(j) = -4*j**3 - j + 1. Let c be x(-2). Suppose -f*y = -y - c. Calculate the remainder when y is divided by 3. 1 Let a = -13 - -15. Suppose a = -2*m, -4*i + 59 = -i + m. Suppose -2*r = 2*r - 232. Calculate the remainder when r is divided by i. 18 Suppose -2*i = -f + 2*f - 2, 0 = -3*i + 5*f - 23. Calculate the remainder when 21 is divided by -4 - (-20 + (3 - i)). 9 Let c = 10256 - 6935. What is the remainder when c is divided by 12? 9 Let q(h) = 23*h**3 - 4*h. What is the remainder when q(2) is divided by 59? 58 What is the remainder when (-1)/(4/233)*2*-2 is divided by 13? 12 Let v(z) = -4*z - 2. Let n(d) = d. Let j be n(2). Suppose -2*c + f + 1 = -j
{ "pile_set_name": "DM Mathematics" }
) = s**2 + 15*s - 12. Let w be b(-6). Let p = 68 + w. Solve -6 = -2*f + p for f. 4 Let z(n) = -5*n**3 - 396*n**2 + 396*n**2. Let j be z(-1). Suppose h + j = 6*h. Solve -1 = -2*p + h for p. 1 Let w = -2416 + 2436. Solve w = -190*i + 194*i for i. 5 Let y(j) = -6*j - 2. Suppose -58*o = -53*o + 5. Let v be y(o). Solve v*h = -h for h. 0 Let i(n) = 5*n - 54 + 42 - 3*n. Let u be i(6). Solve -4*r - r - 15 = u for r. -3 Let v be (-1)/3 - (38/(-6) + 5). Let j be 3/(2 - 5/2). Let a be j*(4/(-8) - v). Solve u + a = -2*u for u. -3 Suppose 0 = -4*s - s + 325. Let k be 3 + 22/(-26) + (-10)/s. Solve 0 = k*a - 0*a + 6 for a. -3 Let s be (-497)/(-35) + (-1)/5. Solve 2*n + s = 9*n for n. 2 Let d = 426 + -425. Solve -5 = p - d for p. -4 Let v(q) = -q**2 + q + 2. Let u be v(2). Suppose -3*g - g - 20 = 0. Let i = 10 + g. Solve -i*l + 3*l + 10 = u for l. 5 Let y be 24/(-28)*4*28/(-24). Let t be -4 + (-4 - (-15 + y)). Solve -t*k = 2*k + 25 for k. -5 Suppose 0 = -2*j + 10 + 46. Suppose 6*t + 2*a = 4*t, -3*a - j = -4*t. Solve -t*f = -4 - 8 for f. 3 Let m be (-648)/(-120) - (-2)/(-5). Solve -m*t - 2 = 3 for t. -1 Let b(c) = 3*c**2. Let o be b(1). Let q(x) = -x**3 + 19*x**2 + 21*x - 4. Let n be q(20). Suppose n = -22*v + 26*v. Solve -o*p - p = -v for p. 1 Suppose 3*q - 300 = -276. Solve 2*y = -q - 0 for y. -4 Let f be 3 - (1 + 0) - 0/23. Solve -f*u + 30 = 4*u for u. 5 Let j(b) = -b**2 + 3*b - 9. Let f(q) = -q**2 + 4*q - 10. Let p(c) = -3*f(c) + 2*j(c). Let r be p(4). Solve -r*i = i + 20 for i. -4 Suppose 14 = 2*h + 2. Suppose -45 = -20*p + 55. Solve 0 = -h*l + p*l - 1 for l. -1 Suppose -5*r - 169 = -6*g + 4*g, -5*r = -4*g + 173. Let d = r - -45. Solve -d = 4*a + 8 for a. -5 Let c = 21 - 21. Suppose c = -2*b - b. Solve b = 4*u - 0 + 16 for u. -4 Suppose -2*y + 49 = z, 69*z + 238 = 74*z + 3*y. Solve 50 = n + z for n. 3 Let l = 30 - 26. Suppose -4*r = -l - 4. Solve -2*w = -r + 4 for w. -1 Let d(f) = 2*f - 46. Let u be d(23). Solve u*q + 4 = -q for q. -4 Suppose -5 = -l + 1. Let c(n) be the second derivative of n**5/20 - 2*n**4/3 + 8*n**3/3 - 4*n**2 + 3*n. Let m be c(l). Solve 4 = 4*u - m for u. 5 Let r(x) = 3*x**2 + 19*x**2 - 24*x**2 - 2 - 14*x. Let z be r(-6). Solve -7*v + 12 = -z*v for v. -4 Let q(v) = v - 17. Let z be q(24). Solve 0 = -z*a + a - 24 for a. -4 Suppose 0*j - 2*j = -20. Let o(r) be the first derivative of r**3/3 - 11*r**2/2 + 15*r + 6. Let b be o(j). Solve 3*y = b*y for y. 0 Let i = 399 - 143. Suppose -10*n - 6*n = -i. Let t(m) = -3*m**3 - 2*m**2 - 2*m - 1. Let s be t(-1). Solve -6*c + s*c + n = 0 for c. 4 Let o = -9 - -20. Suppose 4*f = -4*a + 12, 3 + o = 2*a - 2*f. Solve 0 = a*v - 0*v - 10 for v. 2 Let g = 1107 - 1098. Solve 11 = g*t - 34 for t. 5 Suppose 0*l = -2*l - l. Suppose l = 20*k - 16*k - 56. Suppose -8 = -f - 3*j, -3*f + 4*j = -0*j - 11. Solve f*t = 11 + k for t. 5 Let r = -1499 - -1606. Solve r*t = 100*t + 7 for t. 1 Let m(n) = -7*n - 12. Let z(d) = -13*d - 23. Let c = 2 + 4. Let q(b) = c*z(b) - 11*m(b). Let f be q(-9). Solve -2 = -f*p - 5 for p. -1 Suppose -16*h + 19*h = -2*y + 86, h + 38 = y. Solve -3*a - y = -49 for a. 3 Let o = 902 - 899. Solve 0 = -10*m - 0*m + o*m for m. 0 Suppose -2*g - 5*o + 27 = 0, -5*o + 39 = 6*g - 2*g. Solve 0*i = -g*i + 6 for i. 1 Suppose -32*i + 53*i + 105 = 0. Let y(o) = -o**3 - 3*o**2 - o - 3. Let u be y(-3). Let t be (u - -6)/(6 + i). Solve -3*f + t = -f for f. 3 Let n be -2*(-1)/10 + (-745)/(-25). Solve -n = 7*a - 13*a for a. 5 Let x(g) = g**2 + 9*g + 14. Let o be x(-7). Let i(u) = -u**3 - 8*u**2 - 8*u - 1. Let s be i(-7). Suppose -s*r = -r - 100. Solve -4*f = -o*f - r for f. 5 Let n = 704 - 689. Solve n = 26*j - 31*j for j. -3 Suppose -2*r + 107 = -5*t, -5*r - t + 281 = -0*t. Suppose -r + 31 = -5*y. Solve -9 = -y*w + 6 for w. 3 Let h = 56 + -106. Let n = h + 53. Solve d = 4 - n for d. 1 Suppose 7 = -5*i + 27. Suppose g + i*g + 22 = z, 5*g = 3*z - 26. Solve z*d + 6 + 0 = 0 for d. -3 Suppose 4*t + 0*t - 2*g - 28 = 0, -3*t + 21 = 3*g. Suppose 2*p - 6 = -2*l, -2*l + 14 = p + t. Solve -2*o = -4*o + l for o. 2 Let j be (0*(-3 + 4))/(-2). Suppose -5*a = 2*s + 3*s - 80, j = -s - 3*a + 24. Solve -s = -4*l + 4 for l. 4 Suppose -240*j + 246*j = 96. Solve -6*k + 2*k = -j for k. 4 Let t = 163 + -151. Solve t - 2 = -2*r for r. -5 Let x = -132 + 137. Solve x*o = 4*o for o. 0 Suppose 0 = -4*m - 2*d - 8 + 10, 5*d = 5. Solve m*x = -x for x. 0 Let x = 29 + -29. Let a be (40/6)/(x + (-2)/(-6)). Solve 3*f = a - 5 for f. 5 Suppose 4*w - 5 = -p, -3*p = -3*w - p - 10. Suppose 4*v - 4 = -w*v. Let i(a) = -2*a - 9. Let m be i(-6). Solve y = -v - m for y. -4 Let s = 33 + -31. Let m be (35/(-14))/((-1)/2). Solve m*c + s = -3 for c. -1 Let x(f) = f - 1. Let v be x(7). Let l(s) = s - 2. Let k be l(1). Let w = v + k. Solve -8 = -w*j + 12 for j. 4 Let p(q) = -q**3 - 7*q**2 + 4. Let i be p(-7). Let j be (-12)/(-3) - i/2. Suppose 3*u - z = -j*u + 74, -3*z - 57 = -4*u. Solve u = -2*c - 3*c for c. -3 Suppose -4*u + 9*u = 3*m - 105, 4*m + 105 = -5*u. Let y = 25 + u. Let g be -4 + 18 + y/(-2). Solve 0 = -0*l - 4*l + g for l. 3 Suppose 88*z - 64 = 84*z. Solve 1 - z = -3*y for y. 5 Let z be 0/2*182/728. Let c = 8 + -5. Solve c*r - 6 = -z*r for r. 2 Suppose -8*t - 112 = -81 - 71. Let b(y) = y - 5. Let s be b(6). Let w be (0 + -9)/(s*-1). Solve t*d + 6 + w = 0 for d. -3 Suppose -2*g - 4*z - 6 = 0, 0 = -g + 6*g + 5*z. Suppose 0 = 4*k + g*j - 10, 2*k + 1 + 1 = -5*j. Suppose -k*u + 26 = 6. Solve -25 = -u*o - 5 for o. 4 Suppose -f - 2*f + 6 = 0. Let r be (-5)/(-1) + (7 - 9). Suppose -f*b = r*b - 25. Solve b*t = t for t. 0 Let v(n) = -n**3 - 14*n**2 - 27*n - 30. Let i be v(-12). Solve 0 = -i*h - 31 + 1 for h. -5 Let w = 704 + -703. Solve -w = 2*j + 7 for j. -4 Let g be 3/(-6)*(28/70)/((-1)/45). Suppose 0 = -5*s - 5, -2*a = 2*a + 5*s - 43. Suppose -2*w - 4*b - 8 = 0, -w - b + 3*b + a = 0. Solve -w*m + g = 1 for m. 2 Let o = -523 - -607. Solve -o + 68 = 4*i for i. -4 Let t(j) = -4*j. Let b be t(2). Let u(y) = -y**3 - 9*y**2 - 10*y - 14. Let l be u(b). Solve -l*m = -4*m + 6 for m. 3 Suppose -v - 6 + 12 = -3*r, 2 = -2*v - r. Solve 6*h + 5 + 13 = v for h. -3 Let o(y) = -4*y - 32. Let p be o(-8). Solve p = r + 3 - 0 for r. -3 Let u be 58/4 + 9/(-6). Suppose d + u - 31 = 0. Suppose -2*z - z + d = 0. Solve 0 = -3*w - z - 3 for w. -3 Let s be 7 - (-8)/((-2)/1). Suppose 0 = -3*c - s - 0. Let v = 1 + c. Solve 6*k - k = v for k. 0 Let x = -10 + 8. Let g be (x - (-3)/3) + 4. Solve -3*a = -2*a + g for a. -3 Let k(x) be the third derivative of -x**6/24 - x**5/60 - x**4/24 - 20*x**2. Let t be k(-1). Solve t*i = -5 - 0 for i. -1 Let u(r) = -3*r - 16. Let g be u(-8). Suppose z - 2*s = 3 + 1, 2*s = -3*z - 12. Let q be z*1 - g/(-2). Solve q*m + 12 = -m for m. -4 Suppose 0 = 2*u + u - 24. Suppose 41 = 5*w - 59. Solve u*x = 3*x - w for x. -4 Suppose 2*d = 3*n + 25 + 5, -3*d - 4*n = -11. Let x(o) = -3*o - 7*o + 2*o**2 - 2 + 0*o**2 - 3*o**2. Let i be x(-9). Solve d = 4*y - i*y for y. -3 Let f(i) = i**3 + 8*i**2 + 9*i + 16. Let u be f(-7). Solve -8 = -u*l - 4 for l. 2 Suppose 0*b = -3*r + 5*b + 18, 0 = 2*r + 3*b - 12. Let s be 1/(-3) + 14/r. Suppose s*a = f - 2, -3*f = -4*a + 2 - 12. Solve -y - 2*y = f for y. -2 Let g(n) = n**3 + 16*n**2 + 21*n + 11. Let u be g(-15). Let m = -79 - u. Solve 3*x + 0*x = m for x. 0 Suppose -5*r + 2*x - 7*x + 10 = 0, 20 = 3*r - 4*x. Solve -3*c = -r*c + 4 for c. 4 Let g(a) = -13*a**3 + 1. Let y be g(-1). Let j = y + -14. Let u be (j + 0)/(-1 - -4). Solve u = -p - p for p. 0 Suppose 6 = 4*b - 6. Suppose 0 = 4*m - l + b - 21, -2*l = -2*m + 6. Solve -m*x - 16 = 9 for x. -5 Let k(s) = -s**2 + 12*s. Let v be k(7). Let p = v - 32. Suppose 4*f = -2*m + 24, 5*m + 3*f = -f + 84. Solve -p*r - r = m for r. -5 Let o = -27803 - -27804. Let h = -20 - -12. Let l = h + 11. Solve -i + o + l = 0 for i. 4 Suppose -2*z - 3*z - 3*y = -35, 3*z = 5*y - 13. Let s(j) = j**2 + 2*j. Let l be s(-3). Suppose 0 = l*a - 4*m + 2, -3*m = -z*a - m + 14. Solve -a + 1 = -i for i. 5 Suppose -b + 6*l = 3*l + 9, 12 = 4*l. Solve m + 31 - 36 = b for m. 5 Let t(g) = g**2 + 6*g - 7. Let s be t(-5). Let m be 42/9*s/(-14). Let c(p) = p**3 - 11*p**2 + 9*p + 13. Let r be c(10). Solve m*u = u + r for u. 1 Let f = 41 + -41. Let g = 139 - 93. Suppose 4*l - 74 = -5*x, -x = -3*l - f*x + g. Solve -3*m
{ "pile_set_name": "DM Mathematics" }
280 Two letters picked without replacement from llnnnlnnnn. Give prob of sequence nl. 7/30 Calculate prob of sequence zmml when four letters picked without replacement from kzmlmklkkj. 1/1260 What is prob of sequence aeee when four letters picked without replacement from eeae? 1/4 Four letters picked without replacement from fooyosorssoffioosfi. What is prob of sequence fsyi? 1/2907 What is prob of sequence eq when two letters picked without replacement from {q: 2, o: 5, s: 5, e: 5}? 5/136 Calculate prob of sequence ti when two letters picked without replacement from {t: 1, j: 1, i: 3}. 3/20 Two letters picked without replacement from {x: 1, g: 2, n: 1, m: 1, p: 3, r: 4}. Give prob of sequence xp. 1/44 Four letters picked without replacement from czzzzzcpzzccc. Give prob of sequence ppcp. 0 Calculate prob of sequence veed when four letters picked without replacement from {t: 3, v: 3, y: 2, e: 2, d: 6}. 3/3640 Three letters picked without replacement from gggyngnggyngnnnggg. Give prob of sequence nyy. 1/408 What is prob of sequence re when two letters picked without replacement from {m: 2, e: 5, k: 2, o: 2, r: 2}? 5/78 What is prob of sequence bv when two letters picked without replacement from vbibviillbbbbbiiibb? 1/19 Two letters picked without replacement from jjj. What is prob of sequence jj? 1 What is prob of sequence vnvx when four letters picked without replacement from {v: 2, n: 12, x: 5}? 5/3876 Calculate prob of sequence wr when two letters picked without replacement from {d: 4, w: 1, t: 1, j: 4, o: 7, r: 2}. 1/171 Four letters picked without replacement from {e: 1, m: 2, y: 2}. Give prob of sequence emym. 1/30 Three letters picked without replacement from {f: 1, s: 1, g: 1}. Give prob of sequence sfg. 1/6 Two letters picked without replacement from bmzabmzfzz. Give prob of sequence zf. 2/45 Calculate prob of sequence vhdh when four letters picked without replacement from {n: 1, v: 2, d: 4, h: 2}. 1/189 Four letters picked without replacement from {j: 1, a: 2, z: 3, y: 8, v: 1, o: 1}. Give prob of sequence ovaz. 1/7280 Calculate prob of sequence ibc when three letters picked without replacement from xxibxco. 1/210 Four letters picked without replacement from cccccc. What is prob of sequence cccc? 1 What is prob of sequence qz when two letters picked without replacement from {z: 3, q: 1}? 1/4 What is prob of sequence loz when three letters picked without replacement from {t: 4, m: 1, l: 3, k: 4, z: 1, o: 4}? 1/340 Three letters picked without replacement from pqplpppppqqc. What is prob of sequence qcp? 7/440 What is prob of sequence xr when two letters picked without replacement from hrrgghghphkhx? 1/78 What is prob of sequence ze when two letters picked without replacement from izizeeveeieei? 1/13 What is prob of sequence nj when two letters picked without replacement from njnffnf? 1/14 Two letters picked without replacement from {u: 1, j: 2, o: 1, m: 1}. What is prob of sequence mu? 1/20 Four letters picked without replacement from vgvvgvivvgivg. Give prob of sequence vivg. 14/715 What is prob of sequence wwd when three letters picked without replacement from dddww? 1/10 Four letters picked without replacement from {s: 1, q: 6, p: 5, r: 2, b: 3}. What is prob of sequence pqqb? 15/1904 Calculate prob of sequence se when two letters picked without replacement from {e: 3, s: 2}. 3/10 Three letters picked without replacement from xdhxxughugwgghxgu. What is prob of sequence udu? 1/680 Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu? 1 Four letters picked without replacement from vvveevvvevvevveeevv. Give prob of sequence veev. 77/1292 Two letters picked without replacement from {t: 1, h: 1, m: 1}. What is prob of sequence hm? 1/6 Calculate prob of sequence teet when four letters picked without replacement from {t: 3, a: 1, e: 4}. 3/70 Three letters picked without replacement from ahaaaaaahaahaaa. What is prob of sequence aaa? 44/91 Three letters picked without replacement from placcvcslal. Give prob of sequence clv. 1/110 Four letters picked without replacement from {f: 9, g: 3, d: 2, p: 1, h: 3}. What is prob of sequence hdgg? 1/2040 What is prob of sequence mbvv when four letters picked without replacement from {k: 4, m: 6, v: 5, b: 5}? 5/969 Four letters picked without replacement from {g: 4, v: 7, h: 3}. What is prob of sequence hghh? 1/1001 Two letters picked without replacement from {u: 1, t: 2, a: 1, k: 1, z: 4}. Give prob of sequence zu. 1/18 Calculate prob of sequence tzyi when four letters picked without replacement from myzttyim. 1/420 Calculate prob of sequence qq when two letters picked without replacement from qqq. 1 Calculate prob of sequence oo when two letters picked without replacement from rorrro. 1/15 Calculate prob of sequence yh when two letters picked without replacement from yyyhhhyzhhzhyyhyzh. 28/153 Four letters picked without replacement from {j: 1, g: 1, o: 2}. Give prob of sequence ojgj. 0 Four letters picked without replacement from yuuuuyyypyyuuyyfupy. Give prob of sequence uypp. 7/5168 Three letters picked without replacement from cacqcqcqa. Give prob of sequence qcq. 1/21 What is prob of sequence ssqs when four letters picked without replacement from sssssyysyysyyllsqsyy? 7/1615 Calculate prob of sequence wi when two letters picked without replacement from {w: 2, y: 1, i: 1, z: 1, n: 1, q: 1}. 1/21 Calculate prob of sequence xnn when three letters picked without replacement from {x: 6, n: 2}. 1/28 Calculate prob of sequence qq when two letters picked without replacement from qqqx. 1/2 What is prob of sequence nn when two letters picked without replacement from nnnnnncncnnnnnncnccn? 21/38 Four letters picked without replacement from ggjggjgjjg. What is prob of sequence jggg? 2/21 Calculate prob of sequence ww when two letters picked without replacement from ttfwctttzcrcwzctrtct. 1/190 Three letters picked without replacement from vkikvkkv. What is prob of sequence ivk? 1/28 What is prob of sequence sff when three letters picked without replacement from {s: 1, f: 7}? 1/8 Calculate prob of sequence mi when two letters picked without replacement from {i: 1, s: 2, m: 1, x: 2}. 1/30 Three letters picked without replacement from cfp. What is prob of sequence cpf? 1/6 Two letters picked without replacement from {l: 2, d: 2, n: 6, z: 1, h: 7}. What is prob of sequence hd? 7/153 Two letters picked without replacement from ioioput. What is prob of sequence pt? 1/42 Two letters picked without replacement from aauuaxuaxuaxxuauu. What is prob of sequence xa? 3/34 Three letters picked without replacement from {z: 1, q: 2, r: 4, e: 1}. Give prob of sequence zre. 1/84 What is prob of sequence ii when two letters picked without replacement from {i: 2, d: 1, x: 1}? 1/6 What is prob of sequence yy when two letters picked without replacement from ytyytyty? 5/14 What is prob of sequence qq when two letters picked without replacement from {q: 4, u: 2}? 2/5 Four letters picked without replacement from sssssss. What is prob of sequence ssss? 1 Two letters picked without replacement from nmoo. What is prob of sequence om? 1/6 Calculate prob of sequence fass when four letters picked without replacement from {u: 10, s: 4, f: 1, a: 3}. 1/2040 Two letters picked without replacement from {c: 8, t: 1, r: 3, a: 6}. What is prob of sequence tr? 1/102 Four letters picked without replacement from {w: 3, y: 2, s: 9, g: 1, u: 3}. What is prob of sequence ysuy? 1/1360 Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu? 1 Three letters picked without replacement from ujjuujjjjjjjjj. What is prob of sequence juj? 55/364 Four letters picked without replacement from cjjj. What is prob of sequence cjjj? 1/4 What is prob of sequence pptp when four letters picked without replacement from {t: 3, p: 7}? 1/8 Calculate prob of sequence zz when two letters picked without replacement from nnnznnnnz. 1/36 Calculate prob of sequence svsv when four letters picked without replacement from vvsvssvvvvvvvvv. 11/455 Four letters picked without replacement from bdlllblbbbtlbxb. What is prob of sequence bxtd? 1/4680 Calculate prob of sequence jljl when four letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
. Let v be 59 - (1 + 1 + -3). Suppose -d - 18 = -2*t + 15, 5*t = -2*d + v. What is the remainder when c is divided by t? 5 Suppose 117 = 3*p - 2*t, -3 = 2601*t - 2600*t. Suppose 3*x - 144 = x. What is the remainder when x is divided by p? 35 Let o(l) = -78*l - 27. Let a be o(-2). Let m = -124 + a. What is the remainder when 25 is divided by m? 0 Let g(n) = n + 4. Let l be g(-5). Let m be 7/1*(-6 - 240/(-35)). What is the remainder when 6 is divided by 2 - (l + m/3)? 0 Suppose 0 = 5*x - 18 - 47. Let v be 1992/18 - 2/(-6). Suppose 0*a + v = 3*a. Calculate the remainder when a is divided by x. 11 Let q = 27732 - 26745. What is the remainder when q is divided by 314? 45 Suppose 7*o - 2*o - 5 = 0. Let s be o/(-4) - 198/(-24). Calculate the remainder when (-44)/s*-12 + 4 is divided by 18. 16 Let k be (-7 + 4332)/(-5) - -3. Let w = -567 - k. Calculate the remainder when w is divided by 75. 70 Suppose 0 = 4*a + 2*d - 0*d - 32, 5*d + 20 = 0. Suppose 56 = 2*k + a*q - 12*q, -2*k = 2*q - 56. Calculate the remainder when 104 is divided by k. 20 Let d(c) = -c**2 + 10*c + 111. Let w = -508 - -502. What is the remainder when 27 is divided by d(w)? 12 Let n = -6970 - -7494. Calculate the remainder when n is divided by 53. 47 Let x(p) = -33*p - 55. Let l(b) = 66*b + 104. Let r(d) = -6*l(d) - 10*x(d). What is the remainder when r(-12) is divided by 15? 13 Suppose -2*p + 19 - 89 = 0. Let u = 87 + p. What is the remainder when u is divided by 89 + -86 + 12 + -1? 10 Let i(p) = -6*p**3 + 5*p**2 + 26. Let f = 217 - 136. What is the remainder when i(-3) is divided by f? 71 Let s = 14 + -17. Let m be 10 - 6 - (1 - s). Suppose 2*z + 5*k - 124 = m, 0*k - 144 = -3*z + 3*k. Calculate the remainder when z is divided by 28. 24 What is the remainder when 1679 is divided by 60/(6 + (-45)/10)? 39 Let i = -22118 - -22155. Suppose -10 - 70 = -4*l. What is the remainder when i is divided by l? 17 Suppose j - 16 = -p, 0 = 2*j - 7 - 1. Suppose -3*s = -p*s + 765. Calculate the remainder when 168 is divided by s. 83 Suppose 334*z - 671*z + 329*z = -7552. What is the remainder when z is divided by 13? 8 Let k = 70 + -14. Let b(u) = u**3 - 17*u**2 - u - 1700. Calculate the remainder when k is divided by b(21). 13 Let n(l) be the third derivative of -l**4/8 - 16*l**3/3 - 19*l**2 + 2. Calculate the remainder when n(-20) is divided by 1*-10*(4 + -5). 8 Suppose 0*a + 104 = 4*t + 2*a, -5*a = 10. Suppose r - t = 40. Calculate the remainder when r is divided by 12. 7 Suppose 126 = 2*o + 5*p, 0*o = o + 5*p - 58. Suppose v + 3*v = o. Suppose 0 = 3*g - 65 - 79. Calculate the remainder when g is divided by v. 14 Let r(j) = 21*j. Suppose 181*s - 308*s = -4191. Calculate the remainder when s is divided by r(1). 12 Let v = -544 + 3930. What is the remainder when v is divided by 212? 206 What is the remainder when 189 is divided by 70/(-63)*18/(-4) - -50? 24 Let n = -625 - -996. Calculate the remainder when n is divided by 73. 6 Suppose -o = v - 213, 245*v + 4*o - 216 = 244*v. Calculate the remainder when 229 is divided by v. 17 Let o = -27 - -65. What is the remainder when o is divided by 1/6 - (-1015)/210? 3 Let r(o) = -o**3 + 15*o**2 - 26*o + 3. Let f be r(13). Suppose f*s = -h + 46 - 10, -5*h = -2*s + 7. Calculate the remainder when 61 is divided by s. 6 Suppose 57 = 3*a + 24. What is the remainder when 96 is divided by 26/143 - (-31)/a? 0 Suppose -3*s + 2*v + 17 = 0, 2*v = 2*s - 2*v + 2. Suppose 14 = -r - 4*i, -12*r = -7*r + 2*i + 34. What is the remainder when -15*(62/r + 8) is divided by s? 8 Suppose 3*w - 60 = -16*d + 15*d, 0 = 3*w + 4*d - 78. What is the remainder when 67 is divided by w? 13 Let n(t) = t**3 - 7*t**2 + 7*t + 1. Let q be n(6). Suppose 4*k - g = -3*g + 28, k + g = q. Let h = -52 + 68. Calculate the remainder when h is divided by k. 2 Let r(s) = 2*s + 65. Suppose -15*f - 3*t + 9 = -10*f, 16 = 2*f - 5*t. What is the remainder when r(-26) is divided by f? 1 Suppose -66 = -327*l + 316*l. Let g(p) = 12*p - 5. Let k be g(6). What is the remainder when k/2 + 2/4 is divided by l? 4 Let j(a) = 2*a**2 + 2*a - 3. Let x be j(-2). Let m be ((-46)/4)/((x + 2)/(-186)). Suppose 9*f - m - 61 = 0. Calculate the remainder when f is divided by 44. 42 Suppose -5*j = -3*o + 179, o - 132 = -o - 3*j. What is the remainder when 176 is divided by o? 50 Let x = 176 + -167. What is the remainder when ((-3)/(x/48))/(12/(-24)) is divided by 9? 5 Let z(t) = t**3 - 5*t**2 - 18*t - 21. Calculate the remainder when z(10) is divided by 62. 51 Let p(x) be the second derivative of -x**5/4 + x**4/6 - 3*x**2/2 + x + 30. Let m = -2 - 0. Calculate the remainder when p(m) is divided by 17. 11 Suppose i - 17*r + 20*r = 40, -3*r - 266 = -8*i. Calculate the remainder when i is divided by (150/(-9))/(4/(-6)). 9 Let o = 31 - -131. Let f = -137 + o. Calculate the remainder when 53 is divided by f. 3 Let t(p) = 2*p**3 - 13*p**2 + 167*p - 673. What is the remainder when 705 is divided by t(5)? 9 Suppose 4*n = t + 2*t + 39, 3*t = -3*n + 3. Suppose 3*v + 10 = 4*l, n*v + 5*l - 30 = v. Let k(a) = 32*a + 5. What is the remainder when k(v) is divided by 12? 9 Let m = 53 - 5. Let g be 1 - 154 - (6 - 3). Calculate the remainder when m is divided by 8/(-10) + g/(-20). 6 Let n = 1499 + -138. What is the remainder when n is divided by 62? 59 Suppose 3*x + 9 = -3*q, -3*x + 3*q + 21 + 0 = 0. Suppose 5*k = -5*p + 62 + 533, -3*k - x*p = -359. Calculate the remainder when k is divided by 31. 28 Let l = 13 + 41. Let p = l - 44. Calculate the remainder when 34 is divided by p. 4 Let h = -249 - -87. Let f = h - -167. What is the remainder when 89 is divided by f? 4 Suppose 128472 - 137280 = -24*t. Calculate the remainder when 14305 is divided by t. 359 Suppose -4*c + 394 = j, 4*c + 22 = -2. What is the remainder when j is divided by 227? 191 Let y = -23284 + 23408. Calculate the remainder when y is divided by 10 + 6/(-9)*3. 4 Suppose 14*o - 40 = 19*o. What is the remainder when 139 is divided by (-2)/((-144)/27) - 373/o? 45 Let x = 537 + -533. Suppose -1585 = -x*s - 3*y, 0 = -2*s - 5*y + 2*y + 797. What is the remainder when s is divided by 11? 9 Let z(v) = v**2 + v - 2. Suppose 17 + 7 = 12*d. Suppose -d*s = 6*j - j + 33, 2*j - s + 15 = 0. What is the remainder when 115 is divided by z(j)? 35 Let v(d) = -4*d**3 + 2*d**2 - 5*d. Let x = 291319 - 291257. What is the remainder when v(-4) is divided by x? 60 What is the remainder when (-1)/7*2 + -3*18274/(-42) is divided by 73? 64 Suppose 0 = -5*a - 3*q + 7, 2*q + 20 = 2*a - 2. What is the remainder when 6/(-4)*(-26)/3 is divided by a? 3 Let s = 10736 - 10581. Suppose 0 = y + y + 5*u - 52, u = -5*y + 130. Calculate the remainder when s is divided by y. 25 Suppose -23*w + 7068 = -340 - 3080. Calculate the remainder when 1226 is divided by w. 314 Let z(h) = 13*h - 1. Let g be (-2018)/(-18) - (-1)/9*-1. Let d = g - 99. Calculate the remainder when z(3) is divided by d. 12 Suppose 7*z - 4*z + 2*l = 256, 4*z - 4*l - 328 = 0. Let d(v) = -v**3 - 5*v**2 + 5*v - 32. What is the remainder when d(-9) is divided by z? 79 Let f = 681 + -670. Calculate the remainder when (f/99 - (-110)/(-18)) + 57 is divided by 13. 12 Suppose r - 4*f - 69 = 0, 8*f = -5*r + 6*f + 367. Suppose -r*j = g - 70*j - 37, -4*g + j = -174. What is the remainder when 209 is divided by g? 37 Suppose 5*y - 68 - 27 = 0. Suppose -2*h - 42 = -4*b, -2*b - 5*h = b + 1. What is the remainder when y is divided by 6/b + (-290)/(-40)? 3 Let y(d) = d**3 - 11*d**2 + 30*d - 10. Let j be y(6). Let l(k) = k**2 + 11*k + 37. What is the remainder when 199 is divided by l(j)? 10 Let m = -63 - -94. Let u = 72 - m. Let k(y) = -5*y - 6. Calculate the remainder when u is divided by k(-4). 13 Let c = -4157 - -4204. Let v = 57 + -46. What is the remainder when c is divided by v? 3 Let b = 145 - 139. Calculate the remainder when 5 is divided by (14/b)/((-147)/(-126)). 1 Suppose 7*z = -z + 202 + 30. Suppose -2*b - 5*c = -92 - 189, 0 = 4*b + 2*c - 554. What is the remainder when b is divided by z? 22 Let y(k) = 2*k**3 - 38*k**2 - 41*k + 267. Calculate the remainder when y(20) is divided by 70. 37 Suppose 0 = -2*x + 5*w - 26 + 4, w = 0. Let l(j) be the first derivative of j**3/3 + 5*j**2 + 13*j + 1. Calculate the remainder when l(x) is divided by 13. 11 What is the
{ "pile_set_name": "DM Mathematics" }
False Let m(u) = 4*u - 1. Suppose w + 3 = 0, -22 = -5*k - 2*w + 27. Let h = -6 + k. Is m(h) composite? False Suppose -4*t = 0, 2*u - 2*t = -t + 4. Is 3 + 11/1 + u/(-2) composite? False Let y be (-3)/4*1*-12. Let h(l) be the first derivative of l**4/4 - 10*l**3/3 + 11*l**2/2 - 7*l + 10. Is h(y) a prime number? True Suppose -h + 525 = -5212. Is h a composite number? False Let m(k) = -k**2 + 10*k + 2. Suppose -16*t + 11*t + 50 = 0. Let v be m(t). Is v/4*386 + -2 composite? False Suppose -c = 3*q + 1, 2*q - 1 - 5 = c. Let m(w) = 376*w**2 + 2*w - 1. Is m(q) a composite number? True Suppose -4*u - 3*y + 1584 = y, 4*u = 2*y + 1554. Is u a composite number? True Suppose 2*n - 4*p - 60304 = 0, 12*p - 60295 = -2*n + 13*p. Is n prime? False Suppose -3*y = -89 + 17. Is (3592/y)/(1/15) prime? False Suppose -2*g - 4*h = -4*g + 11624, -5824 = -g - 2*h. Is g composite? True Suppose 3*n = -12, a + 4*n - 1888 - 2931 = 0. Is a composite? True Let k = -485 + 1586. Is k prime? False Let m(z) be the third derivative of z**5/20 + 5*z**3/3 + 3*z**2. Suppose 4*i - 8 + 29 = -5*l, 12 = -2*l + 2*i. Is m(l) prime? False Let j(y) = -2*y + 26. Let v be j(15). Is 1814*(v + (-9)/(-2)) a prime number? True Is ((126056 + 0)/4)/(13 - 11) a prime number? False Let x(v) = 10079*v**2 + 5*v + 7. Is x(-1) composite? True Let z(c) = 606*c - 1. Let m(u) = 606*u - 1. Let b(k) = -3*m(k) + 2*z(k). Is b(-6) a composite number? False Suppose -c + 1 = -4. Suppose -1368 = -4*w - 0*j - 3*j, w + c*j = 359. Is w composite? True Let i(b) = -7*b + 1061. Is i(22) a prime number? True Suppose 22*r - 1016 = 18*r. Let u be (-20)/8*8/(-10). Is 2/8*u*r a prime number? True Let q(s) = -30*s. Let h be q(3). Let w = -136 - h. Let v = -11 - w. Is v composite? True Let d(p) = -p. Let k(c) = 5*c + 8. Let o(w) = 6*d(w) + k(w). Let a be o(6). Suppose -3*b - u = -2*u - 1864, a*u - 2502 = -4*b. Is b composite? True Let b be 0 - -2 - (-6)/(-3). Suppose -2*v + 486 + 402 = 5*y, b = y - 5*v - 156. Suppose -5*n - 3*j - 562 = -1382, n + 3*j = y. Is n prime? False Let y(c) = c - 4. Let g be y(5). Let q be 1*g/(-1)*0. Is (-2 + q)*860/(-8) a composite number? True Let h(g) = 5309*g**2 + 2*g - 2. Is h(-1) a composite number? True Let h(u) = 356*u - 721. Is h(6) composite? True Is 23/(575/53220) - (-2)/10 prime? True Let c = 11151 + -7912. Is c a composite number? True Let s(t) = -37*t**2 - 3*t + 1. Let k be s(-5). Let g = -2414 + 3730. Let i = g + k. Is i prime? False Suppose 0 = -2*g + 2*y + 9126, 3*g + g - 18244 = -4*y. Is g prime? False Let d(u) = u - u - 13*u + 2*u**2 + 22. Is d(9) a composite number? False Suppose -4*v = -z + 131, v - 2*v + 3*z - 41 = 0. Let q be (-13896)/v + (-1)/4. Suppose -2*p = -0*p - q. Is p composite? True Suppose d - 20247 = -3*l + 123761, -d = 5*l - 240014. Is l a prime number? False Is (4 + -7)*(3 + (-2064)/18) prime? False Suppose 0 = -p + 2*m + 12, p - 4*m - 16 = 3*p. Suppose 804 = p*l + 216. Suppose 4*z = 178 + l. Is z prime? False Suppose 13*f - 32742 = -8965. Is f prime? False Suppose -8*u = -1019 - 581. Suppose -4*z + u = 5*m - 371, z - 134 = -3*m. Is z a composite number? False Let a(x) = -5002 - 2*x + 3*x**2 + 4999 - 9*x. Let d = -32 - -18. Is a(d) a composite number? False Suppose 0 = 5*b + 2*o - 0*o - 27, 4*b - 22 = -2*o. Suppose -19 - 1 = -b*l. Is ((-984)/20)/(l/(-10)) a composite number? True Let g(i) = -i**3 - i**2 + i - 1. Let c(t) = -4*t**3 - 5*t**2 + 2*t - 10. Let d(h) = -c(h) + 6*g(h). Is d(-3) composite? False Let a = 31 - 29. Is (-12 - -10)/(a/(-89)) a composite number? False Suppose -26 = -3*j - 17. Is (8643/12 - j) + 2/(-8) composite? True Suppose 1 = m - 1. Let i(k) be the third derivative of 11*k**6/120 - k**5/60 + k**4/12 + k**3/6 + k**2. Is i(m) prime? True Let r = -61 - -14. Let n be -1*(4 - r/1). Let v = n + 284. Is v a composite number? False Suppose 0 = 65*i - 67*i + 2202. Is i prime? False Let q(r) = -3*r + 9. Let x be q(3). Suppose 56*w - 57*w + 583 = x. Is w a prime number? False Let j be 0/((1 - 1) + -1). Suppose 22 = w - 4*m, j*w + w + 13 = -3*m. Suppose -2*t + 36 = 3*g - 25, w*g - 39 = -3*t. Is g a prime number? False Is 20100/18*3 + 3 prime? False Let v(b) = -b**3 + 2*b + 9 - 4*b**2 - 6*b + b**2. Is v(-7) prime? True Suppose 172*l - 169*l = 55299. Is l prime? True Let v(x) = 176*x**2 + 3*x + 4. Let m be v(3). Is (-1)/((-3)/m) + 2/3 a composite number? True Let m(x) = 560*x - 101. Is m(12) prime? True Let h(l) = -11*l + 3 - 9 - 5*l**2 + 4*l**2. Is h(-4) a composite number? True Let t = -899 + 9828. Is t a composite number? False Suppose -v + 7 = 2. Suppose -5*j = -v*u, 0 = j + u + 3*u + 20. Is j*((-3710)/(-8))/(-5) prime? False Suppose 4*x - 2*s - 8696 = 3388, 0 = -5*x - 5*s + 15120. Is x a composite number? True Is 4/(-1) + (-343458)/(-18) prime? False Let x = 37 - 29. Suppose 4*w - x*w = -7892. Is w a composite number? False Let a be 4*(-4)/((-8)/(-1)). Let y(x) be the first derivative of 10*x**3 + 3*x**2/2 + x - 2. Is y(a) a composite number? True Suppose 0 = v + 2*v - 96. Suppose 0 = -5*a + 327 - v. Is a a prime number? True Is -4*(62/31 + 2401/(-4)) a composite number? False Let b(h) = h**3 + 6*h**2 + 6*h + 2. Let f be (-52)/14 - (-2)/(-7). Let r be b(f). Is (-624)/(-30) + 2/r prime? False Let n = -1157 - -1842. Is n prime? False Suppose -3*c - 4*o + 17 = 0, -o - 15 = -5*c - 5*o. Let f be c/(-1)*-1 - -255. Is (f/8)/(2/8) prime? True Suppose 10 = 6*t - t. Let w(h) = -2*h**t + 6*h**2 + 4*h + 11 - 4 + 0*h**2. Is w(-6) prime? True Suppose 0 = 53*n - 45*n - 63208. Is n a prime number? True Is 2/4*-1*(15 - 8581) prime? True Let x = 42 + -27. Suppose 13*m - 18*m = -x. Suppose 10*p - 3199 = m*p. Is p prime? True Suppose 5*u + 5*b = 0, 10 = 5*u - b - 2. Let c = 6 - u. Suppose c*y + 17 = 405. Is y a prime number? True Let x = 31 - 21. Suppose -x*a + 1142 = 32. Is a prime? False Suppose -9*t + 26797 = -90590. Is t prime? True Suppose -13*y = 28583 - 225520. Is y a prime number? True Let f be (-488)/36 - (-8)/(-18). Let w(l) = -48*l + 29. Is w(f) a composite number? False Let i = -47 + 67. Suppose 0 = 4*h - i, -a + 6*a = -h + 300. Is a composite? False Is 6038 - (6/(-6)*-3 - 2) a prime number? True Suppose -l = -t - 2821, 5*t = l + 3*t - 2823. Is l a prime number? True Is 7573 + 13/((-78)/60) a prime number? False Let t = -49 + 112. Suppose 0 = -6*j + 51 + t. Is j prime? True Let l = -54 - -101. Suppose -25 - 55 = -16*j. Suppose j*u = -l + 822. Is u a composite number? True Let g be ((-20)/30)/(1/21). Let r = 14 + -8. Is r/9*(-5229)/g prime? False Suppose 0 = 5*w + 78 - 118. Suppose 5*t - 2*j = 4527, -w*t + 4*t + 3*j + 3616 = 0. Is t composite? False Let p(d) = d**2 - 8*d - 6. Let a be p(9). Suppose -222 = -a*i + 5*u, 2*u - 51 - 23 = -i. Is i a composite number? True Let t be (-10)/(-3) + 3/(-9). Suppose 3*v - 2*j = 1499 + 10, -t*v = -4*j - 1509. Suppose 5*i - 6*l - 531 = -2*l, 5*i - v = -3*l. Is i prime? True Suppose b - 99 = 3*a, -2*a - 154 = -2*b + 64. Let p = 655 + b. Is p composite? False Let a(k) = k**3 + 13*k**2 - 1. Let o be (-648)/(-45)*(-20)/(-6). Let j be o/12*(-3)/2. Is a(j) a prime number? True Suppose -4*d - 5*j = -7*d + 6249, -4*d + 8309 = j. Is d a prime number? False Let h(v) = -v**3 - 5*v**2 - v - 2. Let r be h(-5). Suppose 0*t + 1725 = 5*t. Suppose -2*w + 2*n - t = -5*w, 345 = r*w + 3*n. Is w a prime number? False Suppose 6*u - 2*u = 76. Let j = u - -1. Suppose 425 = 25*w - j*w. Is w prime? False Suppose 2*f + 4 = 0, f + 5 + 21 = 4*v. Is 1338/4*v/9 composite? False Let q(x) = x**3 - 9*x**2 + 12*x + 14. Let j be q(7). Suppose j = 3*b - 1303 - 1136. Is b prime? False Suppose 2*s - 5 = -1. Suppose -10 = -s*b + 2. Suppose 0 = -5*t + 29 + b. Is t a prime number? True Suppose 4*z = x - 2087, 2*z + 9648 - 3367 = 3*x. Is x composite? True Suppose -5*q - 2*o = -5275, -11*q + 14*q - 4*o = 3165. Is q prime? False Suppose 3*t = -2*z + 27, 3*z = 5*t - 2*z - 20. Let q(c) = c**3 - 4*c**2 - 3*c - 2. Let b be q(t). Let s = -66 + b. Is s a composite number? True Let z be 8/(-36)*3*-6. Let v be (2 + -1)*z + 2. Let x(a) = 178*a - 7. Is x(v) a composite number? False Let r be -1*(12 - 6/2). Let g be 7 + r + -2 + 0. Is (-811)/g + 3/12 a prime number? False Let z = -1385 + 5726. Is z a composite number? True Let i(v) = 60*v + 7. Let t(k) = k**2 - k + 2. Let j be
{ "pile_set_name": "DM Mathematics" }
t. 165 Rearrange 56*t - 116*t + 5*t**2 - 1 + 54*t to the form j*t**2 + r + z*t and give j. 5 Express 4*a - 1 + 1 - 4 + 5*a + 4 + 5*a - 5*a + 5*a + (2*a + 4*a - 5*a)*(2 - 4 + 1) - 3*a + 3*a - a + a + a - 3*a in the form l*a + n and give l. 11 Rearrange (2 + 0 + 3)*(-35*r - 53*r - 70*r) to v + t*r and give t. -790 Rearrange -6 - 2 - 45*w - 11 + 17 to the form m + b*w and give b. -45 Rearrange 2*a + 4 + 99*a**3 + 1 - 2*a**2 - 99*a**3 - a**4 to v*a + t*a**2 + h + x*a**3 + c*a**4 and give h. 5 Rearrange (41 - 17 + 47)*(-2*b**4 + 0*b**4 - 2*b**4) to y*b**2 + o + x*b + l*b**4 + p*b**3 and give x. 0 Express -6*x**2 - 2*x**3 - 35 + x**3 - 6*x**3 + 4*x**2 as j*x + a + c*x**3 + u*x**2 and give a. -35 Express (1523*z**2 + 1659*z**3 - 1523*z**2)*(-4 + 4 + 2*z) as q*z**3 + j*z + d + r*z**4 + x*z**2 and give r. 3318 Express (-1 - 2 + 4)*(0 + 0 + 2)*(-f - f + 0*f) + 0*f + 88*f + 22*f in the form p*f + d and give p. 106 Rearrange -31*n**3 + 77*n**3 - 185*n**3 + (1 - 2*n - 1)*(-n**2 + 1 - 1) - 4*n**3 - 4 + 4 to x*n + i + y*n**2 + c*n**3 and give c. -141 Rearrange 17*w**3 - 40*w**2 + 40*w**2 + (w + w + 0*w)*(2*w**2 + 2*w**2 - 5*w**2)*(-3 + 1 - 16) to g + n*w**3 + t*w**2 + i*w and give n. 53 Rearrange 2*m**4 + 3704*m**3 + 123*m**2 - 3705*m**3 - 4*m**4 to y*m**3 + x*m**2 + a*m**4 + u*m + h and give y. -1 Rearrange (-2*m**2 - m + m)*(2 - 2 - m) + 9*m**3 - 2*m**3 + m**3 - 5 - 5*m**3 + 5 - 27*m**3 - 18*m**3 + 8*m**3 to the form h + w*m + c*m**2 + l*m**3 and give l. -32 Express -4*a**2 + 6*a**3 - a**2 + 3*a**3 - 5*a**3 in the form x*a + r*a**3 + d*a**2 + g and give d. -5 Rearrange 165*s + 22*s + 94*s to t*s + w and give t. 281 Express 6023 + 50*h**4 - h**3 + 4*h - 6025 + 4*h**2 - 6*h**2 - h in the form n*h**4 + l*h**2 + y + x*h**3 + k*h and give y. -2 Express -409*x**2 - 13*x**4 + 408*x**2 - 198 + 2*x + 4*x**3 + 201 as v*x**4 + z*x**3 + k*x**2 + y + h*x and give y. 3 Rearrange 0*g**2 - 2*g**2 + 3*g**2 + (-3 - 4 + 5)*(-49*g - 17*g + 89*g)*(-3*g + 6*g + 0*g) + 2*g**2 - 2 + 2 to a*g + d + b*g**2 and give b. -135 Rearrange -411 - 2*a**2 + a**2 - 3*a**2 + 522 - 348 to the form p*a + i*a**2 + f and give p. 0 Rearrange (153*l + 3081 - 3081)*(-10*l**2 + 6*l**3 - 13*l**2 + 25*l**2) to q + n*l**2 + w*l**3 + u*l**4 + m*l and give w. 306 Rearrange (-3*j + 3*j + 3*j)*(-3 + 0 + 5) + (4 + 3 - 6)*(-4*j - 7*j + 0*j) to the form b*j + r and give b. -5 Express -12*b**3 + 40*b**3 - 15*b**3 - 14*b**3 - 26 in the form w + x*b**2 + g*b**3 + t*b and give g. -1 Rearrange 97*l**2 - 97*l**2 + 12*l**3 - 7 to q*l + r + o*l**2 + y*l**3 and give r. -7 Rearrange v**3 + 39*v**2 - 4*v**2 - 19*v**2 - 2 - 4*v**3 + 2*v to x + u*v**3 + y*v**2 + g*v and give x. -2 Rearrange (-39 - 36 + 74 - 331*n)*(1 - 3*n**2 - 1) + 4*n**3 - 4*n**3 - n**3 to the form l + g*n**2 + z*n**3 + m*n and give g. 3 Rearrange 0*s**3 + 5*s**3 - 2*s**2 + 2*s**4 - 1 - s**2 + 5*s + 5*s**2 - 6*s to the form i + j*s**4 + t*s**3 + q*s + y*s**2 and give y. 2 Rearrange 175 - 325*y + 101*y - 370 + 195 to the form q*y + k and give q. -224 Express (-3 + 0 + 2)*(5*i**2 + 2*i**2 - i**2) + (-i - i + 4*i)*(-3*i + 2*i + 5*i) + 12 - 12 - 4*i**2 in the form l + q*i**2 + a*i and give q. -2 Rearrange (-3*k + 3*k - k)*(4 - 4 - 1)*(-25 - 16 + 68) to q + m*k and give m. 27 Express -259*a - 167*a + 303*a as b + d*a and give d. -123 Express 12*h**2 - 625 - 627 + 1244 as s*h**2 + t*h + v and give v. -8 Rearrange 21*x**3 + 75*x - 22*x**3 + 39*x to the form c + z*x**3 + r*x**2 + i*x and give i. 114 Express (0 + c**2 + c + 0)*(536*c**2 + 512*c**2 - 407*c**2) in the form i*c + s*c**3 + l + q*c**4 + x*c**2 and give q. 641 Rearrange (4 - 29*a + 12*a + 16*a)*(-2*a**2 - 34 + a**2 + 21) to q*a**3 + w*a**2 + v + s*a and give q. 1 Express (7 + 0 - 3)*(m**2 + 2*m**2 - 5*m**2)*(1 - 1 - 2) + (27 - 27 + 5*m**2)*(-1 + 0 + 2) as c*m + x + g*m**2 and give g. 21 Express 2*v - 9*v**3 + 4*v**2 + 27 + 5*v - 4*v + v - 29 in the form h*v**3 + u*v**2 + o*v + y and give y. -2 Express -2*g**2 + 2*g**2 - 4*g + 3*g**3 + 1 - 21*g**4 + 22*g**4 as r*g + z + u*g**2 + k*g**4 + f*g**3 and give r. -4 Express (53*u + 50*u - 81*u)*(-8*u**2 + 6*u**2 - 3*u**2)*(-u - 2*u + u) as z + a*u**4 + y*u**2 + g*u + k*u**3 and give a. 220 Express (-2 + 3 + 1)*(-5 - 19 + 0)*(-2*f**3 - 15*f**3 + f**2 + 15*f**3) in the form s*f**3 + g*f**2 + u*f + l and give g. -48 Express 279*j**3 + 11*j + 5*j - 40*j + 11*j + 11*j as a*j**2 + h*j + k*j**3 + r and give h. -2 Rearrange -1 - 2032*o**3 - 50*o**2 + o**4 + 2032*o**3 to f*o**2 + n*o**4 + g*o**3 + q*o + k and give f. -50 Express 3 - 302*v - 3 + 287*v as u + p*v and give p. -15 Express 146*l - 267*l - 864*l as u + w*l and give w. -985 Rearrange -354 + 251*f + 3*f**2 + 354 + 1116*f - 2*f**2 to the form b*f**2 + p*f + h and give b. 1 Rearrange 4*c**3 + c**4 + 7*c + 4 + 9 - 5*c + c**2 + 10*c**3 + 4 to the form x*c + n*c**2 + m*c**4 + z*c**3 + k and give z. 14 Express 10*q**2 - 6*q - 22*q + 4*q**2 + 2*q in the form d*q**2 + a*q + n and give d. 14 Rearrange n**2 - 2*n**2 - 11*n**2 - n + 3 + 13*n**2 to p*n**2 + s + f*n and give s. 3 Rearrange 69012 - 69012 - 136*q**2 to r*q**2 + w + t*q and give r. -136 Rearrange o**4 + 56*o**3 + 50*o**3 - 8 - 106*o**3 + 2*o**2 to the form u*o**3 + r + j*o + h*o**2 + m*o**4 and give r. -8 Express (-209*c - 564*c + 200*c)*(4 - 1 - 1)*(1 + 5 - 4) in the form b + t*c and give t. -2292 Rearrange 4*q - 5*q + q + 449*q**2 - 1347*q**2 to p + i*q + k*q**2 and give p. 0 Rearrange -10 + 15 + 53 + 7 + 10 + 8*k to the form t*k + c and give t. 8 Express 145*n - 173*n - 198*n as t + r*n and give r. -226 Express ((1 + 2 - 2)*(-3*f + 0*f + 0*f) + (f + 0 + 0)*(-2 + 5 - 4) - 84 + 84 + 10*f)*(3 - 3 - f**3) as i*f**3 + g*f**4 + a*f**2 + w + q*f and give g. -6 Rearrange -3 + f - f - 2*f + (4*f - 8*f - f)*(-1 + 2 + 2) to the form o*f + l and give o. -17 Express -2 - 8*q**3 + 7*q**3 - 2*q - 134*q**2 + 0*q**3 + 0 + q**4 + 0*q**3 as i*q**2 + p*q**4 + m*q**3 + j*q + o and give j. -2 Rearrange -39549*b**2 + 2*b**4 - 11*b**3 + 39549*b**2 - 3 + 5*b to the form h*b**4 + n*b**2 + j*b + c*b**3 + u and give u. -3 Express -2*t + 22*t - 18*t + 82 - t + 2 - 2 + (0 - 4 + 3)*(2*t - 4*t + 4*t) + 2*t + 1 - 1 - 4*t + 4*t - 2*t + 3 + 2*t - 3 as h*t + o and give o. 82 Rearrange (-6 - 5 + 3)*(3 - 3 + 2*r)*(-3 + r + 3) to i + f*r + b*r**2 and give i. 0 Express 3 - 45*r - 3 + 119*r**2 - 1 + 45*r as a*r**2 + j + o*r and give a. 119 Rearrange -2 + 91*m**2 - 267*m**2 + 5 - 1 to the form i + r*m**2 + y*m and give r. -176 Rearrange -4*r - 6*r**2 + 4*r**4 + 29*r**4 - 20*r**4 + 5*r to the form l*r**4 + h*r**3 + y*r**2 + m*r + b and give m. 1 Express -22*h + 1 + 0 - 273*h - 3*h in the form l*h + a and give l. -298 Rearrange 7*x**3 - 3 - 2*x**4 - 1 + 2 - 5*x**3 + 0 - 143*x - x**2 to the form n*x**2 + s*x**3 + u + f*x + c*x**4 and give c. -2 Express ((3*m + 4*m - 4*m)*(23 - 34 + 29) + m + 2*m - m)*(2*m + 0*m - 3*m) as b + h*m**2 + k*m and give h. -56 Rearrange 274*l + 58*l - l + 52*l to x*l + r and give x. 383 Rearrange (-23 + 481*w + 44 - 100*w - 17)*(-w + 6*w - 2*w) to d + q*w**2 + k*w and give k. 12 Rearrange -11*x + 4*x + 18*x + 29*x to u*x + g and give u. 40 Rearrange (2 + 2 - 2)*(4*t - t - 6*t) + (0 - 3 - 1)*(-9 + 9 + 5*t) to the form r*t + l and give r. -26 Express -70*c**4 + 21*c**4 + 4 + 36*c**4 - c in the form j*c + f + i*c**3 + v*c**2 + x*c**4 and give j. -1 Rearrange (2 - 2 + d)*((-2 - 1 + 2)*(0 + 2 - 4) + 0 - 3 + 2 - 22 + 69 - 170) to j + v*d and give v. -122 Rearrange 0 + 0 - 28673*r + 2*r**3 - 17*r**4 + 28676*r to the form k*r**4 + d + o*r**2 + m*r + h*r**3 and give m. 3 Express 0*p**3 + 15 - 15*p**4 - 13 - p**3 + 24*p**4 + 2*p in the form h*p**2 + d*p + n*p**4 + w + k*p**3 and give k. -1 Express 41*f - 5*f**2 - 9*f**2 - 2*f**2 + 17*f**2 as p*f**2 + q + m*f and give p. 1 Express 12*w**3 + 1039*w - 5*w**3 - 83 - 1039*w in the form d*w**2 + y + r*w**3 + b*w and give y. -83 Express 2 - 72*r - 36*r + 2*r**4 - r**3 + 23*r in the form w*r + q*r**3 + o + k*r**4 + h*r**2 and give w. -85 Express -116 - 2*i - 4*i - 6*i + 13*i in the form s*i + d and give d. -116 Rearrange 15*z + 21*z + 7*z to the form n + a*z and give a. 43 Rearrange 14*n**2 - 8*n**3 - 11*n**2 - 2*n - 7*n + 10*n - n**4 + 6*n**4 to i + s*n**4 + v*n**2 + t*n + m*n**3 and give m. -8 Express -7*d**2 + 15*d**3 + 8*d**3 + d**4
{ "pile_set_name": "DM Mathematics" }
4)*(-2*l**4 - 1 + 1). -28*l**5 Expand (-36 - 97*b + 36)*(3*b**4 - 5*b**4 + b**4). 97*b**5 Expand (-4*g + 3*g - g)*(10 - 7 - 2)*(-2*g**2 - 3*g**2 + 4*g**2) + 2*g**3 + 3*g**2 - 3*g**2. 4*g**3 Expand (-g - 6*g + 4*g)*(-5 + 3 - 1 + (-1 - 2 + 5)*(2 + 1 - 6)). 27*g Expand (-1 + h - 2*h + 2*h)*(9*h + 3*h - 5*h). 7*h**2 - 7*h Expand (-4*f**3 - 6*f**3 + f**3)*(1 - 3 + 1). 9*f**3 Expand (1 + 4 + 0)*(0*y + 3*y - 7*y) + y - 5*y + y. -23*y Expand (-2*q + q**4 + 2*q)*(-3 + 14 - 1) + 6*q**4 + 0*q**4 - 4*q**4. 12*q**4 Expand (-n**4 - 2*n**4 + 4*n**4)*(-27*n - 8*n - 15*n). -50*n**5 Expand (-3*w - w + 3*w)*(-w + 7 - 6 - w). 2*w**2 - w Expand (c**3 - c**3 - c**3)*(4*c - 4*c + 2*c) + 4*c**4 - 6*c**4 + 0*c**4 + (-c**2 + c**2 + c**3)*(-10 + 5*c + 10). c**4 Expand -2*i + 0*i + 3*i - 13*i + 4*i + 2*i + (-3 + 2 + 3)*(2 - 2 + 2*i) + i - 2*i - i. -4*i Expand ((-4*z + 4*z + z)*(0*z - z + 0*z) + 3*z**2 - 6*z**2 + z**2)*(8 - z + 9 - 20). 3*z**3 + 9*z**2 Expand (-2*n + 4*n - n)*(4 - 6 - 2)*(-4*n + 6*n + 4*n). -24*n**2 Expand -2*m**3 - 2*m**4 + 2*m**3 + (2 + 2 - 2)*(-4*m**4 + m**4 + 2*m**4) - 7*m**4 + 2*m**4 - m**4 - 2*m**4 - 4*m**4 + m**4. -15*m**4 Expand (3 + 1 - 2)*(11*f**3 + 5*f**3 - 2*f**3)*(3*f**2 - 3*f**2 + 2*f**2) + (-2*f**4 + 4*f**4 - f**4)*(-2 + 2 + 2*f). 58*f**5 Expand j**2 - 3*j**4 - j**2 + (-j**2 + 3*j**2 - j**2)*(0 - 2*j**2 + 0) + 2*j**4 + 5*j**4 - 6*j**4. -4*j**4 Expand -77*m**4 - 5 + 28*m**4 + 4 + m**4 + m**4 + 0*m**4 + (0 + 0 - 2*m)*(-m**3 + 5 - 5). -45*m**4 - 1 Expand (-29 + 29 + 28*r**2 - 3*r - r**2 + 3*r + (-7*r + 3*r + 3*r)*(0*r - 3*r + 5*r) - r**2 + 1 - 1 - 4*r**2 + 2*r**2 + 3*r**2)*(3 - 3 + 3)*(r + 4*r - 4*r). 75*r**3 Expand (-56*m + 91*m + 55*m)*(3*m**2 + 0*m**2 - 5*m**2). -180*m**3 Expand (-7*k**3 + 2*k**3 + 4*k**3 + (0 - 2*k**3 + 0)*(3 - 2 + 0))*(0*k - 2*k + 0*k)*(-5*k - 4*k + k). -48*k**5 Expand -y**2 - y**2 + 6*y**2 + 0*y**2 + 2*y**2 + 0*y**2 + (-y + 1 - 1)*(y - y - y) + 2*y - 2*y + 2*y**2. 9*y**2 Expand (2 + 3 - 4)*(43*s + 7*s + 23*s). 73*s Expand 2 + 2*z**3 - 2 + (-4*z**2 + 3*z**2 + 2*z**2)*(2*z - 3*z + 0*z) + (-z**2 + 2*z**2 - 2*z**2)*(4*z - 3*z - 3*z) + 3*z**3 - 5*z**3 + z**3. 2*z**3 Expand (-2 + 2 + 3*d**2)*(0 + 2*d**3 + 0) + 12*d**5 + 22*d**2 - 22*d**2. 18*d**5 Expand (2 - 4 + 1)*(-2 + 2 + m**3) + 106*m**3 - 56*m**3 - 51*m**3 + 3*m. -2*m**3 + 3*m Expand (3 + 2*k - 3)*(3*k**3 - 3*k**3 + 3*k**3 + (2*k + k - 4*k)*(-3*k**2 + 2*k**2 + 3*k**2)). 2*k**4 Expand 2*t**5 - 2*t**5 - 2*t**5 + (0*t - 4*t + 6*t)*(0*t - t**4 + 0*t) - t**4 + t**4 - 2*t**5 - 11*t**5 + 53*t**3 - 53*t**3. -17*t**5 Expand (3 + 0 - 1)*((1 - 2 + 0)*(2*q + q - 4*q) + 4*q - 6*q + 3*q + 0 - q + 0 + 0 + 0 - 2*q). -2*q Expand (3*a - 4*a - 3*a)*((-3*a**2 + a**2 + 0*a**2)*(-1 + 1 + 2*a) - 2*a**2 + 2*a**3 + 2*a**2). 8*a**4 Expand (2 - 2 + v)*(-v**2 - 4*v**2 + 3*v**2) - 4*v**3 - 3*v**3 + 6*v**3 + 2*v**3 + 3*v**3 - 3*v**3 + v**3 - 4*v**3 + 2*v**3. -2*v**3 Expand (-7*u + 7*u + u - 8*u**4)*(-u + 0*u - u). 16*u**5 - 2*u**2 Expand (-10*y**3 + 7*y**3 + 4*y**3)*(-4*y + 3*y + 2*y) + (3*y**2 - 4*y**2 - y**2)*(-3*y**2 - 2*y + 2*y). 7*y**4 Expand (18 + 36*s**2 - 18)*(-1 + 1 - 2*s). -72*s**3 Expand (-2*x + 2*x + 2*x - x + 3*x - 4*x + (-2 - 2*x + 2)*(1 + 4 - 3) + x - x - 2*x)*(-4*x + 2*x + 3*x). -6*x**2 Expand (-4*s + s + 2*s)*(14*s + 4 - 4*s - 2) - s**2 + 5*s**2 - s**2. -7*s**2 - 2*s Expand (2*z**2 + 2*z**2 - 7*z**2 + (2*z + 0*z - 4*z)*(z - z + 2*z))*(2*z + 0*z + z). -21*z**3 Expand (0*w + 4*w - 8*w)*(-2 + 0 + 9*w - 8*w). -4*w**2 + 8*w Expand (1 + h**3 - 1 + (3*h - 5*h + 3*h)*(h**2 + 3 - 3))*(-4 + 24 + 9). 58*h**3 Expand (3*b - 2*b - 2*b)*(3 - 2 - 4)*(3 + 0 - 5). -6*b Expand (-5*t + 38 - 38)*(-3*t**3 - t**3 + 2*t**3). 10*t**4 Expand 6*i**3 + 11*i**3 - 5*i**3 - 4*i**3 + i**3 + 5*i**3 + (2*i + 3*i - 3*i)*(i**2 + i**2 - i**2) - 2*i**3 - 4*i**3 + 4*i**3. 14*i**3 Expand (3*b - 3*b + b)*(0*b**3 - 2*b**3 + 3*b**3) + (0*b**2 + 0*b**2 - 2*b**2)*(0*b**2 - b**2 - b**2) - 8*b**4 + 0*b**2 + 0*b**2 + b**2. -3*b**4 + b**2 Expand (-5*r**3 + 3*r**3 + 4*r**3)*(-1 + 1 - 2*r) + r**4 - r**4 + 2*r**4. -2*r**4 Expand (0 + 2*o**2 + 0)*(1 + 0*o**3 + o**3 - 3 + 3*o**2). 2*o**5 + 6*o**4 - 4*o**2 Expand (4*f**2 - 3*f**2 + f**2)*(6*f + 2*f**2 - 6*f - 7*f**3). -14*f**5 + 4*f**4 Expand (-30 + 30 + 20*m)*(-2 - m**2 + 2) + 3*m**3 + m**3 - 6*m**3. -22*m**3 Expand (2*f + f - f)*(-4 + 3 + 3) + (1 + 0 - 4)*((1 - 3 + 0)*(-5*f + 2*f - 2*f) + 2*f - 3*f - f). -20*f Expand (5 - 4 - 2*l + 1)*(-1 - 1 + 3)*(5 + 0 + 4). -18*l + 18 Expand (0*z**2 - 2*z**2 - z**2)*(z**3 + z**3 - z**3). -3*z**5 Expand p**4 - p**4 - p**4 + 0*p**2 + 0*p**2 + p**4 + (-4*p**4 - 2*p**4 + p**4)*(0 - 5 + 4). 5*p**4 Expand (-2 - 2 + 5 - 2 + 4 - 4 + (-2 + 4 + 0)*(1 + 1 + 0) - 3 + 6 - 1)*(28 - 24 + 6*m**2 + m**2). 35*m**2 + 20 Expand (1 - 2 + 3)*(-4*o + 3*o + 2*o) + (-2 - 1 + 1)*(2*o - 2*o - 2*o). 6*o Expand 7*p**2 - 7*p**2 - 3*p**3 + (-2*p**3 + 0*p**2 + 0*p**2)*(2 - 6 + 5) + 0*p - 2*p**3 + 0*p. -7*p**3 Expand -4*k + 4*k**5 + 4*k + (-2*k**2 + 0*k**2 + 0*k**2)*(2*k**3 - 7*k**3 + 2*k**3). 10*k**5 Expand (u**2 + 5*u**2 - 5*u**2 + 2*u**2 - 5*u**2 + 2*u**2 + (-2*u - 3 + 3)*(-3*u + 2*u + 0*u))*(-3*u - u + 3*u)*(11*u + 6 - 6). -22*u**4 Expand (-4*j + 3*j - j)*(0 - 2*j**2 + 0) + (1 - 2 + 3 + (-1 + 5 - 3)*(-6 + 5 + 5))*(-2*j**3 + 2*j**2 - 2*j**2). -8*j**3 Expand (-7*f + 6*f + 11*f)*(0*f + 2*f + 0*f)*(-3 - 1 + 5). 20*f**2 Expand -l - l**5 + l + (0 - 3 + 1)*(-2*l**5 + 3*l**5 - 3*l**5) + 17*l**3 + 7*l**5 - 17*l**3 - 6*l**3 + l**5 + 6*l**3. 11*l**5 Expand (-1 + 2 - 2*l + l)*(5*l - 15 + 15). -5*l**2 + 5*l Expand (-2*o**2 + 2*o**2 - o**2 + (4*o - 3*o - 3*o)*(0 - o + 0))*(-o + 4*o - 2*o). o**3 Expand (3 + 2 - 6)*(-4 + 6 + 8)*(-1 + 0 + 3)*(-3*f**2 + 3*f**2 + 2*f**3). -40*f**3 Expand ((2 - 3 + 0)*(2 - 2 - 1) - 3 - 3 + 2)*(0 - 4 + 3)*(3*q + 2*q - 3*q). 6*q Expand (4 + 1 - 3)*(m**5 + 4 - 4). 2*m**5 Expand (4*q + q - 3*q)*(-q + 2*q - 2*q) + 3*q**2 + 20*q**2 + 26*q**2 + 1. 47*q**2 + 1 Expand (0 + 0 - b)*(2*b**4 - 3*b**4 + 3*b**4) - 4*b**5 - 3*b**5 + 5*b**5 + 22*b**5 - 23*b**5 + 19*b**2 + 2*b**4 + 0*b**4. -5*b**5 + 2*b**4 + 19*b**2 Expand (4*t - 4*t - t**2)*(1 - 1 - 2 + (0 + 2 - 3)*(-1 - 1 + 1) + 3 - 3 - 2 + 1 - 2 + 0) + 12 - 3*t**2 - 12. t**2 Expand (0 - 1 + 0)*(-6*j + 3*j + j)*(2 + 1 + 1 - j). -2*j**2 + 8*j Expand (-5*g**4 + 2*g**4 + 4*g**4)*(-g - 3*g + 3*g) + (-7*g + 11*g - 36*g)*(4*g**4 - 2*g**4 - 4*g**4). 63*g**5 Expand (l**3 - l**4 - l**3)*(12*l + l + 55*l). -68*l**5 Expand 0 - o**3 + 0 + 5*o**3 + 0*o**3 + 0*o**3 + (-2*o - 2*o + 2*o)*(2*o**2 + 2*o**2 - 6*o**2) + 0*o**3 - 2*o**3 + 0*o**3. 6*o**3 Expand 3*g**4 - 4*g**2 + 4*g**2 + g**4 + 3*g - 3*g + (3*g**2 - 4*g**2 + 4*g**2)*(6*g**2 - 2*g**2 - 3*g**2) + 2*g**3 - 2*g**3 + g**4. 8*g**4 Expand (0*k + 0*k + 7*k)*(0 + 0 - 1)*(-2*k - 2*k**2 + 0*k - 7*k). 14*k**3 + 63*k**2 Expand (-r**3 + r**3 - 2*r**4)*(32 + 33 - 31). -68*r**4 Expand (-43 + 63 - 40)*(2 - 2*r - 2). 40*r Expand (-3 + 0 + 2)*((2 - 3 - 1)*(2*h - 3*h + 0*h) - 888 + 19*h + 888). -21*h Expand (0*y**4 - 2*y**4 + 8*y**4)*(-5 + 3 + 6*y + 0). 36*y**5 - 12*y**4 Expand (0*t + 0*t + 2*t)*(-23 + 23 + 2*t**2). 4*t**3 Expand (d + 5*d - 4*d)*(3 + 4 - 2). 10*d Expand (7*h**2 - 4*h**2 - 8*h**2)*(-2 - h**2 + 2)*(0*h + 2*h - 3*h). -5*h**5 Expand (-4 + 3*m + 4)*(3*m**3 + 3*m - 3*m) - 4*m**4 + 0*m**4 + 3*m**4 + (m**3 - m**3 + 2*m**3)*(6*m - 2*m - 2*m) + 3*m**2 - 3*m**2 + 2*m**4. 14*m**4 Expand 4*x**4 - 4*x**4 + 20*x**5 + (-2*x**3 - 3*x + 3*x)*(2*x**2 - 3*x**2 + 0*x**2) + 4*x**5 - 5*x**5 + 0*x**5. 21*x**5 Expand (2 - 25*a - 2)*(-2 - 2 + 1). 75*a Expand 3 - n - 3 + (-1 + 4 - 4)*(0*n - 2*n + n)*(-9 + 0 - 2). -12*n Expand ((2 - j - 2)*(-4*j**2 + j**2 + j**2) + j**3 + j**3 + j**3)*(-j + 1 - 1). -5*j**4 Expand (n - 2*n - 2*n)*(-29 + 5*n**2 + 29)*(2*n - 1 + 1). -30*n**4 Expand (2*q**3 + 2*q**2 - 2*q**2)*(3 - 3 + 1) + 0*q**3 + q**3 + 2*q**3 - q**3 - 3*q**3 + 2*q**3 + 0*q**3 - 4*q**3 + 2*q**3 + (0 + 0 - q**2)*(q - 2*q + 3*q). -q**3 Expand (4*r**2 - 6*r**2 + 0*r**2)*(-r**2 + 3*r**2 - r**2) + 5*r**4 - 3*r**4 - 3*r**4 + (4 + 2 - 7)*(-3*r**4 - r**4 + 2*r**4). -r**4 Expand o + 2 - 2 + (-3*o + 0*o + 4*o)*(0 - 7 - 2). -8*o Expand 4*q**5 - 3*q**5 - 3*q**5 + (-2*q - 4*q + q)*(q**4 + 2*q**4 + q**4 + (q - 2*q + 2*q)*(2*q**3 - 3*q**3 + 2*q**3) + q + 2*q**4 - q). -37*q**5 Expand (2 + o - 2)*(488*o**4 - 273*o**4 - 267*o**4)
{ "pile_set_name": "DM Mathematics" }
efore 2:16 AM? 2:02 AM What is 166 minutes after 9:49 PM? 12:35 AM What is 324 minutes after 4:08 AM? 9:32 AM How many minutes are there between 4:35 AM and 11:31 AM? 416 What is 453 minutes after 7:55 PM? 3:28 AM How many minutes are there between 5:35 AM and 2:41 PM? 546 What is 97 minutes before 9:54 PM? 8:17 PM How many minutes are there between 10:19 PM and 1:14 AM? 175 How many minutes are there between 5:50 PM and 2:35 AM? 525 What is 136 minutes before 8:18 AM? 6:02 AM What is 410 minutes before 3:57 PM? 9:07 AM What is 559 minutes before 10:20 AM? 1:01 AM What is 453 minutes before 6:01 AM? 10:28 PM How many minutes are there between 7:29 PM and 12:34 AM? 305 How many minutes are there between 5:24 PM and 3:31 AM? 607 How many minutes are there between 11:09 AM and 8:57 PM? 588 How many minutes are there between 2:30 AM and 10:54 AM? 504 How many minutes are there between 7:45 AM and 7:00 PM? 675 What is 296 minutes after 1:59 AM? 6:55 AM How many minutes are there between 3:17 AM and 11:38 AM? 501 How many minutes are there between 7:12 PM and 11:38 PM? 266 How many minutes are there between 2:35 AM and 12:05 PM? 570 How many minutes are there between 2:21 PM and 5:06 PM? 165 What is 706 minutes before 10:55 AM? 11:09 PM How many minutes are there between 9:07 PM and 10:36 PM? 89 How many minutes are there between 1:48 PM and 8:44 PM? 416 What is 265 minutes after 11:22 AM? 3:47 PM How many minutes are there between 4:33 AM and 7:19 AM? 166 How many minutes are there between 11:06 PM and 8:01 AM? 535 How many minutes are there between 10:48 PM and 9:45 AM? 657 How many minutes are there between 9:27 PM and 12:02 AM? 155 What is 249 minutes after 10:57 AM? 3:06 PM How many minutes are there between 7:16 AM and 1:47 PM? 391 What is 289 minutes after 4:23 AM? 9:12 AM How many minutes are there between 2:11 AM and 6:06 AM? 235 What is 507 minutes before 12:40 PM? 4:13 AM How many minutes are there between 9:39 AM and 9:19 PM? 700 What is 246 minutes before 8:05 PM? 3:59 PM How many minutes are there between 10:26 AM and 6:47 PM? 501 How many minutes are there between 7:31 PM and 2:57 AM? 446 How many minutes are there between 7:16 AM and 5:02 PM? 586 How many minutes are there between 10:10 PM and 11:09 PM? 59 How many minutes are there between 3:54 PM and 5:51 PM? 117 How many minutes are there between 3:02 PM and 3:56 PM? 54 What is 317 minutes before 9:32 AM? 4:15 AM What is 283 minutes before 7:38 PM? 2:55 PM How many minutes are there between 12:11 PM and 9:56 PM? 585 How many minutes are there between 9:02 AM and 7:32 PM? 630 How many minutes are there between 10:25 PM and 11:32 PM? 67 What is 647 minutes after 1:01 PM? 11:48 PM What is 195 minutes before 5:25 AM? 2:10 AM What is 719 minutes after 5:39 AM? 5:38 PM How many minutes are there between 2:41 PM and 2:43 PM? 2 What is 145 minutes before 11:09 AM? 8:44 AM How many minutes are there between 9:44 AM and 1:53 PM? 249 How many minutes are there between 11:12 PM and 6:24 AM? 432 What is 36 minutes after 11:20 AM? 11:56 AM How many minutes are there between 6:47 AM and 4:06 PM? 559 What is 315 minutes before 2:31 PM? 9:16 AM How many minutes are there between 11:44 PM and 7:56 AM? 492 What is 9 minutes after 10:37 PM? 10:46 PM What is 538 minutes before 8:40 PM? 11:42 AM What is 678 minutes before 8:43 AM? 9:25 PM What is 277 minutes after 2:40 AM? 7:17 AM What is 209 minutes before 4:09 AM? 12:40 AM What is 292 minutes before 4:54 PM? 12:02 PM What is 141 minutes before 2:21 PM? 12:00 PM How many minutes are there between 1:32 PM and 11:42 PM? 610 What is 400 minutes after 10:42 PM? 5:22 AM What is 20 minutes before 12:02 PM? 11:42 AM What is 59 minutes before 4:34 AM? 3:35 AM How many minutes are there between 4:16 PM and 4:49 PM? 33 What is 2 minutes before 8:33 AM? 8:31 AM What is 14 minutes before 4:51 PM? 4:37 PM What is 587 minutes before 6:58 AM? 9:11 PM How many minutes are there between 9:18 PM and 1:32 AM? 254 What is 207 minutes after 7:26 AM? 10:53 AM What is 54 minutes after 4:48 PM? 5:42 PM What is 69 minutes before 7:43 AM? 6:34 AM What is 103 minutes before 2:17 AM? 12:34 AM What is 625 minutes before 9:29 AM? 11:04 PM What is 19 minutes after 6:22 AM? 6:41 AM What is 366 minutes after 8:04 AM? 2:10 PM What is 421 minutes after 9:56 AM? 4:57 PM What is 572 minutes after 10:25 AM? 7:57 PM How many minutes are there between 7:56 PM and 5:05 AM? 549 How many minutes are there between 1:54 AM and 8:53 AM? 419 How many minutes are there between 10:08 PM and 3:03 AM? 295 What is 553 minutes after 2:38 PM? 11:51 PM What is 560 minutes after 10:58 AM? 8:18 PM What is 360 minutes before 7:33 AM? 1:33 AM How many minutes are there between 5:54 AM and 11:04 AM? 310 How many minutes are there between 1:56 AM and 10:48 AM? 532 What is 137 minutes after 3:16 PM? 5:33 PM How many minutes are there between 2:44 AM and 1:01 PM? 617 What is 423 minutes before 11:57 PM? 4:54 PM What is 647 minutes before 2:17 PM? 3:30 AM How many minutes are there between 3:50 AM and 10:40 AM? 410 What is 249 minutes after 11:53 PM? 4:02 AM How many minutes are there between 12:37 AM and 2:52 AM? 135 How many minutes are there between 11:34 AM and 11:40 AM? 6 What is 466 minutes after 2:38 PM? 10:24 PM How many minutes are there between 6:05 AM and 7:56 AM? 111 What is 410 minutes after 8:33 PM? 3:23 AM What is 40 minutes before 10:23 AM? 9:43 AM How many minutes are there between 11:12 PM and 1:37 AM? 145 What is 688 minutes after 9:52 PM? 9:20 AM What is 317 minutes before 11:59 PM? 6:42 PM What is 127 minutes after 3:45 AM? 5:52 AM What is 599 minutes before 10:08 AM? 12:09 AM How many minutes are there between 2:53 AM and 9:32 AM? 399 How many minutes are there between 7:39 PM and 9:15 PM? 96 How many minutes are there between 11:21 AM and 2:00 PM? 159 How many minutes are there between 11:29 AM and 5:54 PM? 385 What is 324 minutes after 8:21 PM? 1:45 AM What is 376 minutes before 5:18 AM? 11:02 PM What is 344 minutes before 3:37 PM? 9:53 AM What is 10 minutes after 3:42 AM? 3:52 AM What is 714 minutes after 11:13 AM? 11:07 PM What is 238 minutes before 11:48 PM? 7:50 PM How many minutes are there between 4:16 PM and 6:19 PM? 123 What is 292 minutes before 8:40 AM? 3:48 AM What is 142 minutes before 11:58 AM? 9:36 AM What is 20 minutes after 4:29 AM? 4:49 AM What is 592 minutes after 11:36 PM? 9:28 AM What is 270 minutes after 1:02 PM? 5:32 PM What is 428 minutes after 11:17 AM? 6:25 PM How many minutes are there between 9:55 PM and 5:18 AM? 443 What is 505 minutes after 7:23 AM? 3:48 PM How many minutes are there between 5:43 AM and 4:53 PM? 670 What is 165 minutes after 5:24 PM? 8:09 PM What is 710 minutes after 7:03 PM? 6:53 AM What is 423 minutes after 3:25 PM? 10:28 PM What is 186 minutes after 6:53 PM? 9:59 PM How many minutes are there between 2:27 AM and 5:23 AM? 176 How many minutes are there between 4:27 AM and 10:26 AM? 359 How many minutes are there between 7:34 AM and 6:59 PM? 685 How many minutes are there between 11:57 AM and 8:09 PM? 492 How many minutes are there between 7:45 AM and 5:01 PM? 556 How many minutes are there between 11:26 PM and 2:11 AM? 165 How many minutes are there between 12:52 AM and 6:29 AM? 337 How many minutes are there between 10:07 AM and 9:12 PM? 665 How many minutes are there between 11:00 PM and 9:57 AM? 657 How many minutes are there between 11:35 AM and 5:41 PM? 366 How many minutes are there between 8:18 AM and 4:58 PM? 520 What is 458 minutes after 3:29 AM? 11:07 AM What is 657 minutes after 6:58 AM? 5:55 PM How many minutes are there between 11:56 PM and 4:21 AM? 265 What is 592 minutes before 7:50 PM? 9:58 AM How many minutes are there between 10:15 PM and 2:12 AM? 237 What is 104 minutes after 7:49 PM? 9:33 PM What is 236 minutes before 7:18 AM? 3:22 AM What is 463 minutes after 11:06 AM? 6:49 PM What is 324 minutes after 9:45 AM? 3:09 PM What is 688 minutes after 7:23 PM? 6:51 AM How many minutes are there between 6:26 PM and 4:10 AM? 584 What is 243 minutes after 1:46 AM? 5:49 AM What is 387 minutes after 3:53 AM? 10:20 AM What is 104 minutes after 4:50 PM? 6:34 PM What is 429 minutes before 6:46 PM? 11:37 AM What is 493 minutes after
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of o. 2, 3 Let h = 5 - 7. List the prime factors of h/(-6) + 51/9. 2, 3 Suppose -2*b = -3*p - 3*b - 14, -p + 4*b + 4 = 0. What are the prime factors of (p/5)/(10/(-225))? 2, 3 Suppose 11 = -a + 161. List the prime factors of 9/36 - a/(-8). 19 Let p(x) = -18*x - 1. List the prime factors of p(-2). 5, 7 Let u = -4 + 0. Let y be (-3 + -3)*(-2)/u. List the prime factors of -2 + 0/y + 10. 2 Let v(n) = -77 - 3*n**3 - n + n**2 + 77. What are the prime factors of v(-2)? 2, 3, 5 Let a = 17 + -1. Let j be (14/8 - 1)*4. Suppose j*c - a = -c. What are the prime factors of c? 2 Let x = 128 - -5. List the prime factors of x. 7, 19 Let t(d) = 76*d - 9. What are the prime factors of t(1)? 67 Let r(a) = a**2 - 6*a - 15. List the prime factors of r(-10). 5, 29 Let z = 1 + 1. Suppose l + 3*x - 4 = 0, z*x + 32 + 13 = -5*l. What are the prime factors of 1 - (0 + 0 + l)? 2, 3 Let k(r) = 18*r - 2. Let y be k(1). Let x = 42 - y. List the prime factors of x. 2, 13 Let y(d) be the second derivative of d**3/6 + d**2 - 2*d. Let v be y(0). Suppose -v*c = -c - 14. What are the prime factors of c? 2, 7 Let d = 4 - 2. Suppose -3*n + 21 - 58 = 2*y, -d*n - 46 = -4*y. List the prime factors of 12 + (-5)/(n/(-6)). 2, 5 Let m = -5 - -4. List the prime factors of m*(-2)/4*8. 2 Suppose -3*u = 4*s - 56, -1 = 3*s + 4*u - 36. Let p = s - 25. Let a(d) = -d**2 - 8*d + 3. What are the prime factors of a(p)? 3 Let p be (1 - 17)/(4 + -6). Suppose -8 = -k - 3*k. Let r = p + k. List the prime factors of r. 2, 5 Let f(o) = 11*o + 1. Let h(l) = -10*l - 2. Let k(y) = -3*f(y) - 4*h(y). List the prime factors of k(4). 3, 11 Suppose -8 = -3*x - 2*k, x + 2*k = 2*x. Suppose 4*i + 5 = -5*h - 26, x*h - i + 2 = 0. Let l = 13 + h. What are the prime factors of l? 2, 5 Suppose 0 = 2*n - 5*n + 21. Let y(a) = 4*a - 10. List the prime factors of y(n). 2, 3 Suppose 5*b - 2*n = 16, 3*b - 3*n = 5 + 1. Suppose 0 = -3*h + 4*o + 10, o + 15 = 5*h + b. Suppose h*f - 1 = 9. What are the prime factors of f? 5 Let l be ((-4)/(-2))/((-2)/4). Let m be (2/(l/(-2)))/1. Let o = m - -12. What are the prime factors of o? 13 Let w = 14 + 0. What are the prime factors of w? 2, 7 Suppose 2*z - 2 = -0. Let t = -68 - z. What are the prime factors of t/(-6) - (-1)/2? 2, 3 Suppose 26 = 2*m - 0*m. Let r = m - 7. Let z = 4 + r. What are the prime factors of z? 2, 5 Let g(u) = -u + 1. Let m be g(-3). Let t be m/((-1)/2*-2). What are the prime factors of (14/t)/((-1)/(-2))? 7 Let g = 22 + -12. Suppose -3*v + g = -v. What are the prime factors of (v + (3 - 1))/1? 7 Let l(h) = -h. Let o be l(-11). What are the prime factors of o*(-3)/6*-2? 11 Let h(l) = -l**3 + 5*l**2 - 3*l - 4. Let p = 1 - -2. Let m be h(p). Suppose -1 = -2*q + m. What are the prime factors of q? 3 Suppose -89 = -5*d - 4. What are the prime factors of d? 17 Let k(w) = -w**3 + 7*w**2 - w + 3. Let u be k(7). Let c(t) = -6*t + t + 3*t - t. What are the prime factors of c(u)? 2, 3 Let w(y) be the third derivative of y**5/60 + y**4/4 + y**3 - 3*y**2. Let g be w(-6). Let r = 16 - g. List the prime factors of r. 2, 5 Suppose -w - 13 - 62 = 0. Let q = w + 113. What are the prime factors of q? 2, 19 Let g = 93 + -22. List the prime factors of g. 71 Suppose -3*m + 3*u = -2*u - 41, -3*m = 3*u - 9. Let o = 0 - m. Let r(p) = p**2 + 6*p + 5. What are the prime factors of r(o)? 2, 3 List the prime factors of 21 + 1 - 0/(-3). 2, 11 Let u = 8 + 63. What are the prime factors of u? 71 Suppose 0 = -o + 3*o - 36. List the prime factors of o. 2, 3 Suppose -5*r - 2 = -2*u + 6, 16 = -3*r + 4*u. What are the prime factors of (-23 + -6)/(r + -1)? 29 Suppose -2*p - 5*y + 37 = 0, 32 = -5*y + 7. What are the prime factors of p? 31 Let w = 7 + -6. Let t be (-3)/(-1) - 1 - w. Let x(m) = 3*m. List the prime factors of x(t). 3 Let t = -1 - -2. Suppose 1 = n - t. List the prime factors of n. 2 Suppose -2*l - 16 = 2*p, -4*l - 35 = -0*l + 3*p. What are the prime factors of 2*(-3)/6*l? 11 Let y be 14/91 - (-80)/(-13). Let u(t) = t**3 + 6*t**2 - 4*t - 4. List the prime factors of u(y). 2, 5 Suppose 2*b - 4*d - 52 = 0, -6*d = -5*b - d + 150. What are the prime factors of b? 2, 17 Let q = 4 - 7. What are the prime factors of q - 1*(-6)/1? 3 Suppose 4*y - 844 = -4*o, 2*y + 233 = -4*o + 659. List the prime factors of y. 11, 19 Suppose -338 + 50 = -8*m. What are the prime factors of m? 2, 3 Let b be (6/2)/3*2. Suppose 0 = b*w + 7 - 41. List the prime factors of w. 17 Let s(i) = -i**3 + 3*i**2 + 5*i. Let d be s(4). Let r(a) = a**2 + 8*a + 8. Let j be r(-6). List the prime factors of ((-11)/d)/(1/j). 11 Suppose -4*g + 3*d + 13 = 0, -25 = -4*d - d. What are the prime factors of (1 + g)*2/4? 2 Suppose 3*q - 12 = 9. List the prime factors of q. 7 Suppose 0 = -3*u - 52 + 136. List the prime factors of u. 2, 7 Let u(h) = -8*h**3 + h**2 + 2*h - 2. Let o be u(1). Let t = 32 + o. What are the prime factors of t? 5 Suppose -8*m + 10*m = 12. Suppose 60 = m*f - 2*f. What are the prime factors of f? 3, 5 Let r = -5 - -7. Suppose 2*t - s = 2, -14 = t - 5*s + 3. Suppose v + 42 = t*l, -r*l = -l - 5*v. List the prime factors of l. 3, 5 Let g(n) = -n**2 + 7*n + 4. Let f be g(7). Suppose -3*w - 5 = -f*w. Suppose 0 = 2*a - w*a + 12. What are the prime factors of a? 2 Suppose -13*c = -12*c + 2*s - 248, 5*s + 283 = c. What are the prime factors of c? 2, 3, 43 Let w = 65 + 22. What are the prime factors of w? 3, 29 Let b = -7 - -1. Let p = b - -9. Suppose 0 = -p*u - 0*x - 4*x + 29, -u - 4*x = -23. List the prime factors of u. 3 Let p be (-2)/(-1 - -3) - 2. What are the prime factors of 1/p - (-120)/9? 13 Suppose 2 = 3*m - 4*m, -5*m = -l + 16. Suppose n + o + 2*o + l = 0, 4*o = 3*n - 8. Suppose -5*i + i + 40 = n. List the prime factors of i. 2, 5 Suppose 0 = 5*r - 3*j - 719, 2*r - 6*r - 4*j + 588 = 0. What are the prime factors of r? 5, 29 Let x = 168 - 115. Suppose -5*z + 4*a + x = 0, z - 7 = 4*a - 2*a. List the prime factors of z. 13 Let f = -241 + 510. What are the prime factors of f? 269 Let n(u) = u**3 - 4*u**2 + 3*u + 4. Let x be n(3). Suppose -3*f = -x*f + 28. What are the prime factors of f? 2, 7 Let s = -1 - 1. List the prime factors of 123/9 - s/(-3). 13 Suppose -5*z - l + 365 = -2*z, -5*z + 5*l = -615. List the prime factors of z. 2, 61 Suppose 10 = 2*i - g, 4*g - 8*g - 1 = 5*i. Suppose -u = -7*x + i*x + 38, 36 = 3*x + 3*u. List the prime factors of x. 2, 5 Let q(x) = 12*x + 15. What are the prime factors of q(8)? 3, 37 Suppose 3*b = 4*l + 236, 2*b + 2*l - 5*l = 159. What are the prime factors of b? 2, 3 Let i be 2/(-4 - -2) + 3. Let t be (-5)/(-5) - -2*1. Suppose -t*w + 25 = i*w. What are the prime factors of w? 5 List the prime factors of (-22)/33 - (-64)/6. 2, 5 Let w(p) = -2*p**3 + 12*p**2 + 5*p + 4. Let g(h) = -h**2 - 2*h + 6. Let s be g(0). List the prime factors of w(s). 2, 17 Let x = -86 + 55. What are the prime factors of (x/(-4))/((-3)/(-12))? 31 Let q(g) = -1. Let m(v) = -v + 2. Let z(j) = m(j) + 5*q(j). Let x be z(-5). Suppose -4*h = 5*b - 12, h - x*b + 16 = 4*h. List the prime factors of h. 2 Let q(v) = -v - 1. Let t be q(-5). Suppose 19 - t = 3*z. Suppose -z*o + 8 = -17. What are the prime factors of o? 5 Suppose 0 = 2*p - 5*x - 579, -3*p + 549 = -p + 5*x. What are the prime factors of p? 2, 3, 47 Suppose 33 + 47 = 4*c. What are the prime factors of c? 2, 5 Let f = 15 + -11. Suppose 4*b - 3 = o, f*o - b + 3 = 3*o. What are the prime factors of (o - 0/1)*-3? 3 Let s = 125 + -34. What are the prime factors of s? 7, 13 Suppose h - 36 = 4*h. Let r = h - -22. List the prime factors of r. 2, 5 Let v = -10 + 12. Suppose -172 = v*y - 6*y. List the prime factors of y. 43 Suppose 0 = i + 1, -w - 14 = 2*w + 5*i. Suppose -5*g - 2*l - 44 = 0, -g - 5*l - 5 = g. Let r = w - g. List the prime factors of r. 7 Let x = 192 + -133. Suppose 5*v - x = -5*p + 3*v, p - v = 16. List the prime factors of p. 13 Let s(f) = -7*f + 1. Let v be s(-2). List the prime factors of ((-110)/v)/(1/(-3)). 2, 11 Suppose 4*h = -h + 25. Suppose 3*i = h*i - 10. Suppose -i*p = 2*l - 19, -4*p + 31 = 5*l - 8. What are the prime factors of l? 7 Suppose 4*c + 3*y - 316 = 0, 145 = 5*c + 2*y - 243. What are the prime factors of c? 2, 19 Let u be -1*((-2)/2 - 0). Suppose d + 10 = 3*d. Let k = d - u. What are the prime factors of k?
{ "pile_set_name": "DM Mathematics" }
*2 - 268*y**2 - 10 + 43*y**2 + 111*y**2. -y**2 - 10 Collect the terms in -14 + 10*t**2 - 14 + 21 + 3*t**2. 13*t**2 - 7 Collect the terms in -9865669*m + 303*m**2 + 9865669*m. 303*m**2 Collect the terms in 51 - 231 - 123209*y + 50 + 130. -123209*y Collect the terms in 0*c + 4*c + c - 3823 + 3821 - 91976*c**2 - 4*c. -91976*c**2 + c - 2 Collect the terms in -940*w - 15744*w - 194*w. -16878*w Collect the terms in 0 + 1 - 1 - 3405*a**2 + 3734*a**2. 329*a**2 Collect the terms in -197 - 212 + 409 + 5541*s. 5541*s Collect the terms in 1073 - 2606*a - 1075 + 2517*a. -89*a - 2 Collect the terms in -20036 + 9738 - i + 9723. -i - 575 Collect the terms in -928*d + 537*d - 4088*d - 631*d + 158*d. -4952*d Collect the terms in -100565*t**2 - 100462*t**2 + 201038*t**2. 11*t**2 Collect the terms in 16 - 49 + 25 + 5 + 2248*j**3. 2248*j**3 - 3 Collect the terms in -37131675 + 37131675 + 12*p**3. 12*p**3 Collect the terms in 13456 - 6722 - 6732 - 11*v - 298*v. -309*v + 2 Collect the terms in 8757*d**3 - 7500*d**3 + 3*d**2 - 3*d**2. 1257*d**3 Collect the terms in 1812*z + 1904*z + 1879*z - 7152*z + 1811*z. 254*z Collect the terms in -33*c + 24656*c**3 - 24653*c**3 - 10*c + 43*c. 3*c**3 Collect the terms in -7*h + 552233*h**3 - 1104468*h**3 + 552233*h**3 - 189. -2*h**3 - 7*h - 189 Collect the terms in 3027*s**2 + 932*s**2 + 293*s**2. 4252*s**2 Collect the terms in 5843*d - 2 - 12176*d + 5879*d + 504*d. 50*d - 2 Collect the terms in -213*x - 220*x + 2 - 156*x - 2 + 808*x - 218*x. x Collect the terms in 655858296 + 30*k - 18*k**3 - 655858296. -18*k**3 + 30*k Collect the terms in -6*d**3 + 1293308 + 69*d - 1293308. -6*d**3 + 69*d Collect the terms in 7162*q - 29917*q + 7581*q + 7589*q + 7586*q. q Collect the terms in 228587*b + 228584*b - 457207*b. -36*b Collect the terms in -37184*f + 10693*f - 59064*f + 8084*f. -77471*f Collect the terms in -2*h**2 + 5*h**3 - 152*h + 4*h**2 - 2*h**2. 5*h**3 - 152*h Collect the terms in -54*t - 26 + 2*t - 11*t - 42*t + 22. -105*t - 4 Collect the terms in 93*d**2 + 102*d**2 + 90*d**2 + 97*d**2 - 370*d**2. 12*d**2 Collect the terms in -831 - 8336859*c**3 + 831. -8336859*c**3 Collect the terms in -7*h + 20*h + 36*h**2 - 7*h + 78*h**2 - 5*h. 114*h**2 + h Collect the terms in 422*k**3 - 5247*k**3 + 0 - 3766*k**3 + 0. -8591*k**3 Collect the terms in -7788*d - 67 - 12278*d - 5105*d + 67. -25171*d Collect the terms in 520*o**2 + 205*o**3 + 24*o**3 + 525*o**2 + 519*o**2 - 1559*o**2. 229*o**3 + 5*o**2 Collect the terms in 72 + 17*v - 3663*v**2 - 19*v - 72. -3663*v**2 - 2*v Collect the terms in 180 - 193 - 627*k - 992*k. -1619*k - 13 Collect the terms in 241 + 233 - m + 2*m - 5*m - 6*m - 480. -10*m - 6 Collect the terms in -949 + 89*a**2 + 846 + 554. 89*a**2 + 451 Collect the terms in -135349*o + 67674*o + 616*o**3 + 67675*o - 597*o**3. 19*o**3 Collect the terms in 9476*p**3 - 864*p + 1733*p - 9473*p**3 - 869*p. 3*p**3 Collect the terms in 43 - 95075*y + 26184*y - 43. -68891*y Collect the terms in 5 - 3 + 420525*w - 420445*w. 80*w + 2 Collect the terms in -29*z - 22*z - 47*z - 5 + 125*z - 24*z. 3*z - 5 Collect the terms in -3976*v + 1982*v + 1986*v + 261*v**2. 261*v**2 - 8*v Collect the terms in 495606*c**2 - 2201004*c**2 - 1816251*c**2. -3521649*c**2 Collect the terms in 2445*f - 8*f**3 + 43*f**3 - 2445*f - 79 - 7*f**3 - 16*f**3. 12*f**3 - 79 Collect the terms in 284205*o - 568403*o + 284198*o - 590*o**2. -590*o**2 Collect the terms in -610573864*l**3 + 610573842*l**3 - 3*l + 3*l. -22*l**3 Collect the terms in 38531*y**2 + 25*y**3 + 49*y**3 - 19267*y**2 - 72*y**3 - 19264*y**2. 2*y**3 Collect the terms in -769 + 7*z**2 - 42*z**3 + 45*z**3 - 731 + 1500 - 7*z**2. 3*z**3 Collect the terms in 155*m + 367 - 320 - 249*m. -94*m + 47 Collect the terms in -1519*v**2 + 416*v**2 + 458*v**2 + 484*v**2. -161*v**2 Collect the terms in -15799*c + 273 - 230 + 15798*c. -c + 43 Collect the terms in -6*x**2 + 9*x**2 - 7*x**2 + 9*x**2 - 22*x**2 - x**2. -18*x**2 Collect the terms in 106517 - 26*b**2 + 30*b**2 - 53115 - 53402. 4*b**2 Collect the terms in 41*q**3 + 0 + 2 + 47*q**2 - 1 - 44*q**3. -3*q**3 + 47*q**2 + 1 Collect the terms in 1574199*n + 11*n**3 + 13*n**3 + 11235 - 1574199*n - 11235. 24*n**3 Collect the terms in -16984*f + 4443*f + 5318*f + 5272*f. -1951*f Collect the terms in -343321 - 13*q**2 + 5*q**2 + 0*q**2. -8*q**2 - 343321 Collect the terms in -5*b**2 + 2*b**2 + 514444*b**3 + 3*b**2 - 514445*b**3. -b**3 Collect the terms in -209*m**2 + 58*m**3 + 209*m**2 - 96*m**3 + 30*m. -38*m**3 + 30*m Collect the terms in -791*p**3 - 758*p**3 - 930*p**3 - 895*p**3 + 3136*p**3. -238*p**3 Collect the terms in -464*a**3 + 427*a**2 - 651*a**2 + 224*a**2 + 314*a**3. -150*a**3 Collect the terms in -43356*w**2 + 21677*w**2 + 9 - 1 + 5 + 21680*w**2. w**2 + 13 Collect the terms in 211683*q - 211683*q - 240*q**3 - 170 + 170. -240*q**3 Collect the terms in -31*i**2 + 198*i**2 - 976 - 2*i + 180*i**2 + 156*i**2. 503*i**2 - 2*i - 976 Collect the terms in -254*v - 1265*v - 1009*v + 211*v. -2317*v Collect the terms in -7 + 33*f - 765*f**2 - 3*f - 30*f. -765*f**2 - 7 Collect the terms in 219607*a**2 + 2*a**3 + 38*a - 109810*a**2 - 38*a - 109797*a**2. 2*a**3 Collect the terms in -24*l**2 - 1 + 433*l**2 + 1 - 11*l - 177*l**2. 232*l**2 - 11*l Collect the terms in -850*k**3 + 791*k**3 - 16*k + 16*k. -59*k**3 Collect the terms in -1357 + 11*t - 2*t - 1280 + 5195 - 1274 - 1284. 9*t Collect the terms in -2*h + 738*h**2 + 2*h + 398*h**2 + 375*h**2 - 1891*h**2 + 382*h**2. 2*h**2 Collect the terms in -120*j + 4*j**2 + 2863*j - 2743*j. 4*j**2 Collect the terms in 297*v - 178 - 291*v + 177 - 41*v**2. -41*v**2 + 6*v - 1 Collect the terms in 16*i**2 - 22 + 28 + 3*i + 63*i**2 + 2. 79*i**2 + 3*i + 8 Collect the terms in 58*v**3 + 162*v**2 + 185*v**2 - 475*v**2 + 128*v**2. 58*v**3 Collect the terms in g - 160*g + g**2 - 19*g + 0*g**2 - 28*g - 8*g + 161*g. g**2 - 53*g Collect the terms in -121094*x**2 - 45341*x**2 + 45446*x**2. -120989*x**2 Collect the terms in 93*s**2 - 512*s**2 + 106*s**2 - 2*s**3 + 329*s**2. -2*s**3 + 16*s**2 Collect the terms in 1318802756 - 1318802756 + 2*k. 2*k Collect the terms in -19629*s**2 + 2*s**3 + 8912*s**2 + 10717*s**2 - 9*s. 2*s**3 - 9*s Collect the terms in 12*g - 9*g + 43*g - 17*g - 11*g. 18*g Collect the terms in -101*p**2 - 6*p**3 + 401*p**2 - 103*p**2 - 115*p**2 - 82*p**2. -6*p**3 Collect the terms in -94 + 93 + 35*y - 8*y**3 + 6*y + 5*y. -8*y**3 + 46*y - 1 Collect the terms in 38*n**3 + 410*n - 69*n**2 + 289*n - 699*n. 38*n**3 - 69*n**2 Collect the terms in -340 - 455*r**2 + 838*r**2 - 386*r**2. -3*r**2 - 340 Collect the terms in 7*h**3 - 315944 + 315944 + 13*h**3. 20*h**3 Collect the terms in -220741 - 220732 - 20*w**2 + 5*w**2 + 441473 - 35*w**3. -35*w**3 - 15*w**2 Collect the terms in -4591 - 181667*s + 4591. -181667*s Collect the terms in -20819226*a**2 - 3*a + 14*a + 20819235*a**2. 9*a**2 + 11*a Collect the terms in 2*f**3 + 3493*f - 1759*f - 1671*f + 0*f**3. 2*f**3 + 63*f Collect the terms in 3622651 + 56*j**2 - 3622651. 56*j**2 Collect the terms in 8 + 54*q**2 + 1 + 17*q - 55*q**2 + 24 - 4. -q**2 + 17*q + 29 Collect the terms in -5596*i**3 - 5598*i**3 - 5595*i**3 - 5583*i**3 - 5597*i**3 + 27971*i**3. 2*i**3 Collect the terms in 124272 - 79334*g - 124272 + g**3 - g**2. g**3 - g**2 - 79334*g Collect the terms in 2*v**2 + 5380 + 10138 - 73 - 3*v**2 - 880. -v**2 + 14565 Collect the terms in 8 - 286*d - 8 + 639*d**3 + 286*d. 639*d**3 Collect the terms in 195*x**2 - 107*x**2 + 216*x - 128*x**2 - 216*x. -40*x**2 Collect the terms in 384 - 759*b**2 + 1053*b**2 - 299*b**2 - 384. -5*b**2 Collect the terms in -541*w + 47 + 657*w + 18 + 901*w. 1017*w + 65 Collect the terms in 4803*f**2 + 4719*f**2 + 149*f - 9521*f**2. f**2 + 149*f Collect the terms in -4289*z - 4311*z - 4241*z + 12903*z. 62*z Collect the terms in -58*u**2 - 3 - 55*u**2 - 57*u**2 + 189*u**2. 19*u**2 - 3 Collect the terms in 7069465*w**2 - 14138680*w**2 + 7069219*w**2. 4*w**2 Collect the terms in 192*h - 377*h + 313*h + 696*h + 352*h. 1176*h Collect the terms in -900897*a**2 - 9*a**3 + 1801799*a**2 + 7*a**3 - 900902*a**2. -2*a**3 Collect the terms in -953064*l - 3429*l**2 + 953064*l. -3429*l**2 Collect the terms in -2*v**2 - 1173 - 7*v - 23*v + 2356 - 1180. -2*v**2 - 30*v + 3 Collect the terms i
{ "pile_set_name": "DM Mathematics" }
(sqrt(288) + sqrt(288)*1 + (sqrt(2) - (-3*sqrt(4))/sqrt(2)))**2. 1568 Simplify 3*1*(sqrt(475)*2 + -5)**2. -300*sqrt(19) + 5775 Simplify (-1 + sqrt(11))*-2*-1. -2 + 2*sqrt(11) Simplify ((sqrt(128) + 1)*-4 + sqrt(128) + 1 + -2)**2. 240*sqrt(2) + 1177 Simplify -2 + sqrt(125) + 1. -1 + 5*sqrt(5) Simplify (sqrt(20) + 2*sqrt(20) + 3)*-2. -12*sqrt(5) - 6 Simplify (sqrt(60)/(sqrt(32)/sqrt(8)))/sqrt(3). sqrt(5) Simplify sqrt(12) + 2 + 1*-2*sqrt(3). 2 Simplify (-2*(2 + sqrt(567)))**2. 144*sqrt(7) + 2284 Simplify (sqrt(84) + 1*sqrt(84)*-5)/(1*sqrt(75)). -8*sqrt(7)/5 Simplify 6*sqrt(2)*1 - (sqrt(4)*2)/sqrt(2). 4*sqrt(2) Simplify sqrt(68)/(-2*sqrt(400)). -sqrt(17)/20 Simplify (-3*sqrt(35)/sqrt(5) - (sqrt(77)*-1)/sqrt(11))*5. -10*sqrt(7) Simplify -5*(sqrt(28)/(-1*sqrt(400)))**2. -7/20 Simplify -2*sqrt(637) + 1 - sqrt(637). -21*sqrt(13) + 1 Simplify sqrt(11)*1*-4 + sqrt(11) + sqrt(121)/(2*sqrt(11)). -5*sqrt(11)/2 Simplify (-3 + sqrt(13) + (sqrt(13) - ((sqrt(143) + sqrt(143) + (-3*sqrt(143) - sqrt(143)) + sqrt(143) + sqrt(143) + sqrt(143))/sqrt(11))**2))*6. -96 + 12*sqrt(13) Simplify 0 + -3*(sqrt(17) + sqrt(119)/sqrt(7)*-1)**2. 0 Simplify -3*(-3 + sqrt(22)/sqrt(2) - (sqrt(11) + -2*sqrt(99))). -18*sqrt(11) + 9 Simplify sqrt(95)/(2*sqrt(5)*-1 + sqrt(5)). -sqrt(19) Simplify -3*(-1*(-4 + sqrt(425) + -1))**2. -1350 + 150*sqrt(17) Simplify ((-1*2*sqrt(84))/sqrt(12))**2. 28 Simplify (-2*sqrt(5))**2*6 + 3*sqrt(320). 24*sqrt(5) + 120 Simplify ((sqrt(660) + 1*sqrt(660))/sqrt(12))/(sqrt(20)*-3). -sqrt(11)/3 Simplify -1 + (sqrt(15)*1)/sqrt(5). -1 + sqrt(3) Simplify (sqrt(55)*1*-5)/(sqrt(5) + (sqrt(5) - (sqrt(80)*3 + sqrt(80) - sqrt(5)))). 5*sqrt(11)/13 Simplify ((sqrt(448) + sqrt(28))/sqrt(2))/(sqrt(448)*3). 5*sqrt(2)/24 Simplify 3 + sqrt(4)/sqrt(2) + 5. sqrt(2) + 8 Simplify (2*sqrt(187)*-1)/(-4*sqrt(11)*-3). -sqrt(17)/6 Simplify 1*sqrt(20)/((sqrt(400)/sqrt(8) + sqrt(50))/sqrt(5)). sqrt(2)/2 Simplify -1 + (sqrt(364)/sqrt(7))**2. 51 Simplify 0 + sqrt(847) + 3 + (sqrt(847)*-1 - sqrt(847))**2 + sqrt(847). 22*sqrt(7) + 3391 Simplify 5*sqrt(132)/(sqrt(12)*-2). -5*sqrt(11)/2 Simplify -4*(-1 + sqrt(17)*-2). 4 + 8*sqrt(17) Simplify (sqrt(363)*-3)**2 + -1. 3266 Simplify sqrt(51)/(sqrt(3)*5*3). sqrt(17)/15 Simplify ((1*sqrt(110) - sqrt(110))*-4 + sqrt(110))/(sqrt(50)/(sqrt(5) + sqrt(45) + sqrt(5))). 5*sqrt(11) Simplify ((sqrt(630)/(sqrt(10) + sqrt(50)/sqrt(5)) - sqrt(63))/sqrt(9))**2. 7/4 Simplify sqrt(39)/(sqrt(36)/(sqrt(12)*1))*-6. -6*sqrt(13) Simplify (-3*sqrt(6)*3)/sqrt(128). -9*sqrt(3)/8 Simplify 0 + (sqrt(11) + (sqrt(99) - sqrt(11)))**2 + 0. 99 Simplify 2 + (1 + sqrt(1584) + (sqrt(11) + sqrt(77)/(sqrt(7)*2 - sqrt(7)) - sqrt(11)))**2. 26*sqrt(11) + 1862 Simplify ((sqrt(8) + sqrt(8)*-2)/sqrt(4)*3 + -2*sqrt(242)*4)**2. 16562 Simplify (sqrt(152)/(sqrt(16)/sqrt(2)))**2 + -4. 15 Simplify (sqrt(133) - sqrt(133)*2*-2 - sqrt(133))/(sqrt(7) - -1*sqrt(343)). sqrt(19)/2 Simplify (sqrt(80)/sqrt(2)*-1)/(((sqrt(8) - (sqrt(8)*-1 - sqrt(8))) + sqrt(8))*2). -sqrt(5)/8 Simplify (6*1*sqrt(48) + 5)*5. 25 + 120*sqrt(3) Simplify (sqrt(88)/(sqrt(32)/sqrt(4)))**2 - (4 + sqrt(176)). -4*sqrt(11) + 7 Simplify (1 + sqrt(32))**2 + (2*sqrt(200))**2 - (sqrt(450)*3)**2. -3217 + 8*sqrt(2) Simplify -2 + -4 + (sqrt(891)*-2 + sqrt(891))**2 + (sqrt(891) - (sqrt(891) + 0 + 3))**2. 894 Simplify (sqrt(1458) + 1*sqrt(1458))**2. 5832 Simplify ((sqrt(228) - -1*sqrt(228)) + sqrt(228))/sqrt(12) - sqrt(342)/sqrt(2). 0 Simplify (1*sqrt(187)*6 - sqrt(187))/(sqrt(132)/(sqrt(12)*1 + sqrt(12))). 10*sqrt(17) Simplify ((sqrt(153)*-2 + sqrt(153))*3)**2. 1377 Simplify -5*(-2 + sqrt(18) + (-2*sqrt(18))**2). -350 - 15*sqrt(2) Simplify -5*((sqrt(704) - (sqrt(704) + sqrt(704) + 1 + -2)) + sqrt(704))**2. -5 Simplify (sqrt(396)*-2*-3)**2*-4. -57024 Simplify 1*(sqrt(19) + (sqrt(19) + sqrt(19) + -4*sqrt(57)/sqrt(3))**2 + (sqrt(76) - (0 + sqrt(76))**2)). 3*sqrt(19) Simplify ((sqrt(136) + -2*sqrt(136))*-1 + sqrt(136) + sqrt(136))/(sqrt(88)/(sqrt(11) - sqrt(275)) - sqrt(8)). -12*sqrt(17)/5 Simplify -6*(sqrt(7) - (sqrt(28))**2) + sqrt(448)*-1 + sqrt(448). -6*sqrt(7) + 168 Simplify -4*(sqrt(396) + 1 + sqrt(11) + -4). -28*sqrt(11) + 12 Simplify -3 + sqrt(44)/(3*sqrt(4)). -3 + sqrt(11)/3 Simplify (sqrt(882)*2)/(1*sqrt(576)). 7*sqrt(2)/4 Simplify (-2*sqrt(72))/sqrt(6). -4*sqrt(3) Simplify (((sqrt(468) - (sqrt(468) + -2*(sqrt(468) + (-2*sqrt(468) - sqrt(468))))) + sqrt(468))**2 + (1 + sqrt(468))**2 + 0)*1. 12*sqrt(13) + 4681 Simplify (sqrt(208)*-3)**2 + 0. 1872 Simplify ((sqrt(2299) - (2 + sqrt(2299))*6) + -2)**2. 1540*sqrt(19) + 57671 Simplify 1 + sqrt(42)/(sqrt(48)/((sqrt(8)*-2 - sqrt(8)) + sqrt(8))). -2*sqrt(7) + 1 Simplify ((sqrt(152) + -2*sqrt(152))*-3)/sqrt(8)*4. 12*sqrt(19) Simplify -1 + 1*sqrt(684). -1 + 6*sqrt(19) Simplify 0 + sqrt(720) + 5*sqrt(20)/sqrt(4). 17*sqrt(5) Simplify -3 + (sqrt(2) - sqrt(24)/(sqrt(24)/sqrt(2))). -3 Simplify sqrt(432) + -1*2*sqrt(432). -12*sqrt(3) Simplify (sqrt(448) + 2 + sqrt(7))*1. 2 + 9*sqrt(7) Simplify -6*-3*sqrt(17)*2*1. 36*sqrt(17) Simplify (6*sqrt(9)/sqrt(3)*-5)**2. 2700 Simplify (-4 + sqrt(40)/sqrt(288) + sqrt(5))**2*2. -56*sqrt(5)/3 + 821/18 Simplify (2 + (-2 + sqrt(76))*-6)**2. -336*sqrt(19) + 2932 Simplify 5 + ((sqrt(99) - (sqrt(99) + sqrt(99) + (sqrt(99) - -1*sqrt(99)*3)))/sqrt(9))**2. 280 Simplify (2*(sqrt(19) - sqrt(171)) + sqrt(19) + (sqrt(19) - (sqrt(19)*-2 + -4) - sqrt(19)))*-5. -20 + 5*sqrt(19) Simplify (sqrt(1331) + -2 + sqrt(1331) + -5)**2. -308*sqrt(11) + 5373 Simplify sqrt(91)/((sqrt(210)/sqrt(5))/sqrt(6)). sqrt(13) Simplify ((0 + sqrt(72))*-3)**2 + sqrt(72). 6*sqrt(2) + 648 Simplify (sqrt(1300)*-2)**2 + (-1*sqrt(13) + 5)**2. -10*sqrt(13) + 5238 Simplify 2 + 1 + sqrt(2299). 3 + 11*sqrt(19) Simplify sqrt(5) + sqrt(80) + 2 + 4. 6 + 5*sqrt(5) Simplify ((0 + sqrt(325) + 5)*2)**2. 200*sqrt(13) + 1400 Simplify (sqrt(5) - (sqrt(45) + sqrt(5) + 3))*1. -3*sqrt(5) - 3 Simplify (1*sqrt(459) - sqrt(459))/sqrt(3)*6. 0 Simplify -3*(sqrt(72) + -1)**2 + 4. -215 + 36*sqrt(2) Simplify (2 + sqrt(448) + 4 - sqrt(448) - sqrt(448))**2. -96*sqrt(7) + 484 Simplify 2 + (sqrt(13) + 2 + -1*sqrt(13) + sqrt(13))**2. 4*sqrt(13) + 19 Simplify (sqrt(243)*-1)**2 + -5 + (sqrt(12))**2 + 0 + sqrt(3) + 4. sqrt(3) + 254 Simplify (sqrt(13) + 3)**2*-3 + (sqrt(637) - (sqrt(637) + -2))**2. -18*sqrt(13) - 62 Simplify 2 + (sqrt(1088)*-2)**2 - sqrt(1088). -8*sqrt(17) + 4354 Simplify (-1*sqrt(104)/sqrt(2))/((sqrt(24)/sqrt(2))/sqrt(3)). -sqrt(13) Simplify (sqrt(120) + -1*sqrt(120) + sqrt(30))/(sqrt(450)/sqrt(3) + sqrt(6)). sqrt(5)/6 Simplify ((-2*sqrt(204))/sqrt(12) - sqrt(17) - sqrt(17)) + (sqrt(17) - (sqrt(17) + -1)) + 5. -4*sqrt(17) + 6 Simplify -2*(0 + sqrt(2)) + 1 + ((sqrt(288) + -1)**2*2 - sqrt(288)) + sqrt(288). -50*sqrt(2) + 579 Simplify -4*(sqrt(13) + sqrt(13)*2)**2*-1. 468 Simplify ((sqrt(180)*-2)/(sqrt(64)/sqrt(4)))**2. 45 Simplify (-4*(-1 + sqrt(500) - sqrt(500)))**2. 16 Simplify (-2 + sqrt(57)/sqrt(3))*5. -10 + 5*sqrt(19) Simplify sqrt(76)/(sqrt(36)/(sqrt(9) - sqrt(36)/sqrt(4) - sqrt(9))). -sqrt(19) Simplify -2 + (-4*(sqrt(5) - (sqrt(5) + 0)) + sqrt(480)/sqrt(6))**2. 78 Simplify (-1*2*sqrt(22))/sqrt(2). -2*sqrt(11) Simplify 0 + sqrt(2) + -4*sqrt(6)/sqrt(3) + sqrt(2) + ((sqrt(2) + 5*sqrt(4)/sqrt(2))**2 - sqrt(2)). -3*sqrt(2) + 72 Simplify (sqrt(99) - 6*(2 + sqrt(99)))**2. 360*sqrt(11) + 2619 Simplify (sqrt(360)/(sqrt(9) - sqrt(144)))/sqrt(8). -sqrt(5)/3 Simplify (sqrt(10)/sqrt(5) + 4)**2 + (sqrt(2) - ((-3 + sqrt(2))*-2)**2). -26 + 33*sqrt(2) Simplify sqrt(121)/(sqrt(132)/(sqrt(72)/sqrt(6))). sqrt(11) Simplify ((sqrt(70) + -3*sqrt(70)*-5)/(sqrt(1000) + sqrt(1000)*-2 - sqrt(10)))**2. 1792/121 Simplify (6*(sqrt(2736) + (2*sqrt(2736) - sqrt(2736))) - sqrt(2736))**2 + sqrt(2736). 12*sqrt(19) + 331056 Simplify -3 + sqrt(12)/sqrt(6)*-6 + sqrt(2) + sqrt(2) + sqrt(2). -3*sqrt(2) - 3 Simplify -6*sqrt(152)/(sqrt(40)/(sqrt(10)/sqrt(2))). -6*sqrt(19) Simplify (-1 + (sqrt(2299) - (sqrt(2299) - (-4 + (sqrt(2299) - (-1 + sqrt(2299))))) - sqrt(2299)))**2. 88*sqrt(19) + 2315 Simplify 5*-1*sqrt(7)*1 - (2*sqrt(112) - sqrt(56)/(sqrt(16)/sqrt(2)))**2. -343 - 5*sqrt(7) Simplify (sqrt(18)/sqrt(3)*-2 + sqrt(6) - sqrt(6))/(2*sqrt(2)*-2). sqrt(3)/2 Simplify (sqrt(133) - 3*((sqrt(133)*4 - sqrt(133)) + sqrt(133)))/sqrt(7). -11*sqrt(19) Simplify s
{ "pile_set_name": "DM Mathematics" }
+ 3. Let p be t(-5). Solve 7*m + g*q = 4*m - 9, 0 = -2*m - p*q - 9 for m. 0 Suppose 6*r + 34 = 8*r. Solve x = -5*l - 10, r = 4*x - 3 for l. -3 Let n be (-1)/5 - 76/(-5). Let u = n + -10. Solve 2*c - 4*c - 2*y + 12 = 0, 0 = u*c - y for c. 1 Let u be -5 - 4/(12/(-27)). Solve 5*f + u*b + 11 = 2, -5*f = -3*b + 37 for f. -5 Let t = -44 + 46. Solve 7 = -3*i - 5*r, 2*i + t*r = -i - 1 for i. 1 Suppose 0 = -7*v + 38 + 18. Solve -3*b - t - 1 = 0, v = 2*b + 4*t + 2 for b. -1 Let d be ((0/(-5))/5)/1. Solve d*n - 5*n + 4*b - 15 = 0, -3*b + 13 = -2*n for n. 1 Let a = 7 - 4. Let x(m) = 13*m + 3. Let o be x(a). Suppose -13 = 5*l + 5*u - 43, -4*u - o = -2*l. Solve 3*g = 3*n + 4*g - 8, -4*n - g + l = 0 for n. 3 Suppose w = -3*l - 21 - 7, -3*l = -5*w - 68. Let y = w - -22. Let h be (-5)/((-75)/y)*10. Solve -2*d = h*p - d - 3, -5*p = 2*d - 6 for p. 0 Let a be 3/(-2)*(-8)/(-6). Let j be 3*a/(-10)*5. Suppose j*t - 20 = -t. Solve -5*x + 2 = 2*r, -t = r - 3*x + 5 for r. -4 Let i be (-2)/(-4) + (-7)/(-2). Let v be ((2 - -2) + 0)*2. Let f be v - ((0 - -1) + 1). Solve 0 = a + 4*c + f, a - i*c - 8 = 3*a for a. -2 Let d(k) = -k**3 + 5*k**2 + k - 1. Let c be d(5). Let q = c - -1. Solve 0 = -4*o + 20, q*s = 4*s - 4*o + 19 for s. -1 Let o be (6 + 88/(-8))*4/(-10). Solve 3*l - 9 = -0*j + o*j, -14 = 5*j + l for j. -3 Suppose 6*o - 20 = 4*o. Solve 6*w + o = 3*h + 5*w, 2*w = -4*h for h. 2 Let l = 0 + 5. Suppose 0 = 3*w - l*w. Let a(k) = -k**3 + 5*k**2 + 7*k - 6. Let r be a(6). Solve -4*s - 5*h = -31, r = 2*s - w*h - 5*h + 7 for s. 4 Let b(c) = 8*c + 3*c**2 + 3*c**2 + c**3 + 3*c**2. Let r be b(-8). Solve -2*n - 2*z = r, 2*n + z = -0*z for n. 0 Let z = -8 + 5. Let m(f) = -f + 1. Let t be m(z). Suppose -4*w = 2*k - 4, 3*w - 2*w = k - 17. Solve 4*r + k = 5*h, r - t*h + 2 = -1 for r. -3 Suppose 0 = 4*u - 4*z + 12, -4*u - 19 = -z + 4*z. Let a = 8 + u. Let d = -13 - -29. Solve 4 = y + 5*q + d, -5*y + 3*q - a = 0 for y. -2 Suppose n + 2 = 1. Let k be 1/(-1) - n/1. Suppose -3*i - i + 20 = k. Solve 0 = 5*z + 2*x - x + 7, -15 = -i*x for z. -2 Let u be (-2 - 0)/(-1) - -89. Suppose -4*g + 3*j = -u, 3*j - 100 = -5*g + 34. Solve g = 4*l - 5*l - 5*v, -2*l + 10 = -2*v for l. 0 Let c(i) = -i**2 + 29. Let p be (-1 - 3/(-3))*-1. Let v be c(p). Let m(f) = -f**2 + 3*f + 3. Let u be m(3). Solve 0 = w + u*b - 15, 4*b = -3*w - b + v for w. 3 Suppose -w = -4*w + 6. Let i(h) = 2*h**2 - 10*h + 8. Let r be i(6). Solve w = -m, 0*l + 4*l + 4*m = -r for l. -3 Let d(l) = 3*l**3 - 2*l - 2*l**3 + l**2 - 1 + 4 + 5*l**2. Let c be d(-6). Solve -4*n + 3*i + 31 = 0, 0*n + i - c = -5*n for n. 4 Suppose k + 16 - 20 = 0. Solve -2*b + 4*b - 11 = g, 2*g + k*b = 10 for g. -3 Let s be 2/(-3 - 1)*-24. Solve 3*g - 9 = -a, -3*g + s = g - a for g. 3 Let c(y) = y**3 + y**2 + y - 7. Let w be c(0). Let x = 2 - w. Solve -2*a = a + 3, 4*a + x = -5*i for i. -1 Let f be -1 - -4 - (-13)/(-1). Let x be 1/(((-4)/f)/2). Solve z = 3*n - 12 + 4, -x*n + 12 = -3*z for z. 1 Let b(l) = -2*l + 24. Let v be b(10). Solve -2*i = -3*t + i + 3, -v*t = 5*i - 31 for t. 4 Let b(i) be the third derivative of i**5/60 - i**4/24 + i**3/6 - i**2. Let x be b(0). Suppose 2*k - x = 17. Solve 4*t - 4*r + 3*r - k = 0, 3*t - 18 = 3*r for t. 1 Let l(p) = -p. Let k be l(-3). Solve -8 = 4*o - k*q, 0 = -6*q + 2*q + 16 for o. 1 Let s(w) = w**3 + 8*w**2 + 13*w + 11. Let d be s(-6). Solve -d*t + b + 24 = 0, -t - 4*b - 14 = -2 for t. 4 Let p(i) = i**2 + 4*i + 2. Let x be p(-4). Solve -3*d = z + 11, 0 = x*d - 3*d - 5*z + 15 for d. -5 Suppose 8 = -c + 4*d, 2*c = -3*d - 5 - 0. Let m(k) = -k**3 - 4*k**2 - 2*k. Let y be m(c). Solve 2*z - 4*g + 4 = 6*z, -4*g = y for z. 3 Suppose -i + 11 = 8. Solve i*p + 13 = 2*r, 0 = 5*p - 4*p + 5*r + 10 for p. -5 Suppose 5*d + 43 = 5*h + 3, 5*h - d - 24 = 0. Solve 4*s = 4*u + 1 - 9, -h*u = -3*s - 10 for s. 2 Let c = 17 + -8. Solve 6*h = -y + 3*h + c, -3*h = 5*y + 3 for y. -3 Let t = -20 + 22. Solve t*k - k = 3*b - 1, -5*k + 19 = -3*b for b. 2 Suppose -8 = -x - 4*z, 5 = -3*x - z + 18. Solve 3*g - 15 = 0, -4*m + x*g + 4 = 32 for m. -2 Suppose 5*f + 1 = 16. Suppose -5*u + 28 + f = 3*r, 2*u + 2 = 0. Solve 5*n - 2*b = -6*b - r, -5*b = -5*n + 15 for n. 0 Let x(o) = -o + 1. Suppose -3*g + 1 = 10. Let i be x(g). Suppose -2*w = -4 - i. Solve -5*z - w*y + 25 = 0, -z - 3*z = -2*y + 6 for z. 1 Let s = -50 + 34. Let p = s - -20. Solve -i = -4*v + 19, 0 = -5*i + 2*v - p*v + 15 for i. 1 Suppose -5*k + 5*m - 35 = -0*m, -2*m = 2*k - 6. Let q = 7 + k. Solve -w + 2 = 2*r, -2*w + 5*r - 19 + q = 0 for w. -2 Suppose 3*r - 16 = -2*u - 0*u, 2*r - u - 6 = 0. Suppose -15 = -2*g + x - 2, -3*g + 2 = 2*x. Let n = 11 - 8. Solve -r*d - 22 = f, -d - g = d - n*f for d. -5 Let r(h) = 2*h**2 + 1. Let j be r(-1). Solve -j*c - 22 = -2*m, -m - c - 29 = -6*m for m. 5 Let b(x) = 5*x - 9. Let o(i) = 5*i - 10. Let z(a) = 6*b(a) - 5*o(a). Let s be z(4). Solve y + 10 = -q, 0 = -q - 3*y - s - 4 for q. -5 Suppose -o = 4*o. Solve 0*w - 2*d + 10 = 5*w, -w - 2*d - 6 = o for w. 4 Let p = 8 - -2. Suppose 4*q - p = -2. Solve y - 2*z = -q, z - 2*z = -3*y + 9 for y. 4 Let g = 3 + -3. Solve g = 2*b + 3*h + 5, 2*b - 20 = h + h for b. 5 Let c = 8 - -16. Let b(z) = -z**3 + 10*z**2 - 10*z + 11. Let v be b(9). Suppose 0 = -v*k + 4 + 2. Solve 4*d + 4*h = -c, -21 = k*d + 4*h + 1 for d. -2 Suppose -9*b + 4*b = -4*c + 146, -6 = 3*b. Let o = -9 + 9. Let d be o*(8/(-3) - -3). Solve c = -4*y + 4*i + 6, d = -i + 3 for y. -4 Let y = 12 + -14. Let j(f) = -9*f - 6. Let u be j(y). Solve o - 2*h = -0*o - 4, 4*o - h - u = 0 for o. 4 Let f(j) = j**2 + 2*j + 1. Suppose 3*g + 1 = 2*g. Let z be f(g). Let t be 20/15*(-15)/(-2). Solve 0 = o + h - t, o - 4*h + 24 - 9 = z for o. 5 Let d = 2 + -2. Suppose -3*j = -d*j - 6. Suppose f = -3*f + 8. Solve f*y = -2*v + j, -3*v - 3 = y + 2*v for y. 2 Suppose 9 = -m + 4*m. Suppose -m*z + 0*z + 5*q + 34 = 0, 0 = 4*q + 20. Solve -4*x = -4*i, -6*i = -x - z*i - 6 for x. 3 Suppose -5*l = -2*l. Suppose 9*d = 4*d + 165. Let u be d/7 + 4/14. Solve u*i - b - 5 = l, 2*i + 5*b - 1 = i for i. 1 Let n(r) = -7*r - 2. Let o be n(-1). Solve 2*a - 5*d = -0*a + 3, -5*d = -o*a + 15 for a. 4 Let w(z) = 0*z + 6*z + 0*z + 1. Let s be w(1). Solve -3*h = o + 12, h - 4*o + 10 + s = 0 for h. -5 Suppose 3*j + 8 - 23 = 0. Solve -g = 2*g - j*u + 29, 0 = -5*g - u - 11 for g. -3 Let m = -44 + 47. Solve -m*o - t = -2, -o = -3*o + t + 3 for o. 1 Let x = 26 - -23. Suppose 3*s + z = x, -2*z = s - 0*z - 8. Solve -3*d = p - 13, -2*p + 3*p = -4*d + s for d. 5 Suppose -3*f - 20 = -4*d, -5*f + 8 = 2*d - 2. Solve 0 = -5*b - d, l - 3*b - 2 = 6 for l. 5 Let o(l) = -l**3 + 4*l**2 - 3*l + 2. Let k be o(2). Suppose 0 = 2*v - 6*v + 8. Let s = 23 + -2. Solve v*x + k*h + 3 - s = 0, -x + h - 6 = 0 for x. -1 Let d(v) = -2*v + 19. Let s be d(7). Solve 5*f + 2 = s*m + 7, 16 = 4*f for m. 3 Suppose 6 = -3*d + 3*n, -3*d - n - 2 = -3*n. Suppose d = -3*w - 2*q, 2*q + 4 = q. Solve -w*v + 4*m = -12, v - 2*v - 2*m - 10 = 0 for v. -2 Suppose -4*c = -3*t - 61, 0 = -t + 3 + 2. Solve 2*a - 23 = -3*f, 3*f - 6*f - a = -c for f. 5 Suppose 4*d + 5*i - 1 + 5 = 0, 3*i = 3*d - 24. Suppose -4*y + 8*y - 3 = 3*x, -2*x = d*y - 18. Solve 5*l = 3*j - 6, -3*l + y*j - 18 = 6*j for l. -3 Suppose 2*d + 0*d - 10 = o, 0 = -o - 4. Solve q - 3 = y, y - 2*y - d = 5*q for y. -3 Let g(y) = y**3 - 10*y**2 + 13*y + 39. Let j be g(8). Suppose -2*b + 30 = 3*b. Solve w + j = -4*t, 3*t = -2*w + b*w - 16 for t. -4 Suppose -9*f - 20 = -10*f. Solve -16 = -2*n - n + 4*y, -3*n = -5*y - f for n. 0 Let z be (-4)/10 + 276/15. Let d = 102 + -101. Let l be 2 - (2 - 2 - 0). Solve -5*q + 2*t + z = 0, -d = 3*q + l*t + 1 for q. 2 Let b(r) = r**3 - 4*r**2 + 4*r - 3. Let m be b(3). Let j = 0 + 0. Suppose m*s - 2*s = j. Solve 5*y + 22 = 4*x + 2, s = 2*x - 3*y - 10 for x. 5 Let c = 23 - 9. Suppose -3*x + c = -4*y, y = -x - 2 + 9. Suppose 0 = 3*u - 4*r - 31, -u = -r - 1 - 8. Solve -b - 4 = j - u, x = -2*b - 4*j for b. 5 Suppose 5*t = 8*t - 9. Solve 2*g - 4*y = -10, -5 = -3*g + 2*g - t*y for g. -1 Suppose 0 = -4*j + 3*m + 37, 4*j + 7*m - 77 = 2*m. Let z = -15 - -19. Solve -s - 4*s + 2*y = 0, -y = z*s + j for s. -2 Let y be (-7)/2 + (-7)/14. Let r = 0 - y. Solve 16 = -4*i - n - 2, -4*i - 8 = -r*n for i. -4 Let v(n) = -n + 0*n**3 + 48*n**2 - 50*n**2 - 3*n**3. Let c be v(-1). Solve -25 = -4*p -
{ "pile_set_name": "DM Mathematics" }
c) s a Let b = 2908 + -2943. What is the closest to -0.03 in -0.5, 0.2, b? 0.2 Let o be 3/1 + (1081976/83790)/(-4). Let j = 4/665 + o. Which is the closest to -0.1? (a) 5 (b) j (c) 3 b Let i = -155856 - -155854. Let w = 86 + -260/3. Which is the closest to w? (a) 0 (b) i (c) -0.54 c Let c be (75/(-100))/(6/(-184)). Suppose -122 + 30 = -c*g. Let i be 2/(-7) + (-96)/(-140). What is the closest to -1 in g, -0.5, i? -0.5 Let x = 7275 - 7275.22. Which is the closest to 4/3? (a) x (b) 1 (c) -5 b Let y = 0.1 + -0.25. Let i = -0.17 - y. Let l = -5.3 - -8.3. What is the nearest to 1 in 1/4, i, l? 1/4 Let f = 0.0133 + 0.0367. Let j = -4.05 + f. Let k be (2/27)/((-1)/(-3)). Which is the closest to k? (a) j (b) -5 (c) -1/2 c Let p be (-35)/21*-3 - (-15 - 2). Suppose p + 50 = 24*h. Which is the closest to 1/4? (a) -15 (b) 1/6 (c) h (d) 4/5 b Let l = -0.1 - 3.9. Let h = -791296.3 - -791296. What is the closest to -1 in -2/3, l, 5, h? -2/3 Let s be 156/(-12) + 1488/112. What is the closest to s in 0.5, 113, 4? 0.5 Let w = 23 - 95/4. Let z = -15993.7 - -15994. What is the nearest to 1 in 17, z, 3/4, w? 3/4 Let r = 1.1 - 1. Let d be (-6)/(96/(-100)) + (-38 - -32). Which is the closest to 0.1? (a) d (b) 40 (c) r c Suppose 128*u - 559 - 81 = 0. What is the nearest to -2 in u, 0.3, 0, -2/5? -2/5 Let k be -6 + 4 + -1*1454/(-964). Let v = k + -2/241. Which is the nearest to 59? (a) -3/7 (b) v (c) 3 c Let y = 177 + -199.6. Let k = y + 27.6. Let h be 3/(0 - (-99)/6). What is the closest to -2/5 in k, h, 3/5? h Let l = 426504/35 - 85242/7. Let r = 9/14 - -1/42. Which is the closest to r? (a) -1 (b) -2/3 (c) l b Let f = 840.883 - 840. Let j = f - -0.017. Which is the nearest to -0.3? (a) -2/9 (b) 2 (c) j a Let g = -10830 - -10831. Which is the nearest to g? (a) -3 (b) 4/9 (c) -26 (d) -0.3 b Suppose 29 = 39*w - 37 + 66. Which is the closest to -1? (a) -3 (b) w (c) -2/13 (d) -0.4 d Let q = 4.13 - 0.13. Let z = 23 + -77. Let d = z - -55. Which is the closest to 2? (a) 0.4 (b) q (c) d c Let b = 0.202 + 93.798. Let n = 417.6 - 512. Let w = b + n. What is the nearest to 41 in w, -1/5, 0.1? 0.1 Let u be (-447)/(-441) + (-7 - -4)/3. Which is the nearest to 0? (a) u (b) -2 (c) 5 (d) -2/9 a Let z(f) = f - 21. Let c be z(16). Suppose 73 - 58 = -5*m. Let s be ((-3)/6)/(2/(-8)). What is the nearest to s in m, -1/2, c? -1/2 Let h = 2 - 1.8. Let k = 1.004 + -1.104. Let q = h - k. Which is the closest to -1/3? (a) -0.1 (b) 7 (c) q a Let z = 0.88 - 0.48. Let t = 85 - 87. What is the nearest to t in z, 1/2, -0.3? -0.3 Suppose -5*p - 3*d = 2*d - 40, -d + 2 = 0. Let u be 0/(5/(6 - 11)). Let i = -709 + 708.92. What is the nearest to -1 in u, p, i? i Let k = -19517 - -19519. Which is the nearest to k? (a) -0.3 (b) 782 (c) 5/6 c Let l = -5.3 + 5. Let f be 60/(-50)*(-40)/4. Suppose -f*g + 90 = 30. Which is the nearest to 0? (a) -1 (b) g (c) l c Let w = -700 - -699.102. Let v = 0.102 - w. What is the nearest to 2 in 0.3, v, 29? v Let h be ((-44)/(-10))/(7/(-350)). Let q = h + 221. What is the closest to -1/4 in q, 8, 2? q Let t = 68565 + -68565. Let c be 20/14 - (9 + -7). What is the nearest to -1.29 in t, c, -4? c Let x = -4282 - -4281. What is the nearest to 1 in 0.04, 2, x, -3? 0.04 Let o = 151 - 150.7. Let j = -20/7 + 113/42. Which is the nearest to -4? (a) -1 (b) j (c) o a Let k be (2 + (1 - -1))*4/8. Suppose -4*t + 12 = 2*q - 0*q, -k*t = 4*q. Let z = 0.03 + -5.03. Which is the nearest to -2? (a) 0.2 (b) t (c) z a Let i = 1811 + -1871.9. Let q = -162 - -101. Let h = i - q. Which is the nearest to 0.1? (a) -2/5 (b) -0.04 (c) h c Let f = 0.05454 - 0.15454. Let i = 395/7 + -56. Which is the closest to f? (a) i (b) 3/2 (c) 0.3 c Let j = -0.191 - -0.092. Let m = -0.299 - j. Let l = -3/23 - 17/46. What is the closest to -1 in -0.06, l, m? l Let r = 20 - 23. Let x be (-7)/(-7)*r/18. Suppose 3*c + 3*a = 2*c + 7, -4*c + 18 = 2*a. What is the closest to -2/7 in -3, x, c? x Let x = -5154.4 + 5154. What is the nearest to -0.1 in x, 41, 0.11? 0.11 Let t = -16.99835 - 0.00165. Which is the nearest to -1/6? (a) -0.1 (b) t (c) 5/2 a Let o be 1508/232*(-2)/26. What is the closest to 2 in -4, 2, 20/17, o? 2 Let f = -8.6792 + 11.6792. Let w = -1/93 + 281/186. Which is the closest to 0? (a) 0 (b) w (c) f a Let q be (-5)/(-12) + 10/40. Let t = -14/5149 + 5998627/15447. Let j = t + -388. Which is the closest to -2/5? (a) j (b) q (c) -3 a Let j = -10.02701 - -0.02701. Which is the nearest to 1/2? (a) -1 (b) 16/7 (c) j a Let f = 3 - 5. Let h = -11201 - -44803/4. Which is the nearest to h? (a) f (b) -0.1 (c) 1/8 b Let p = -48.969 + -6.031. What is the nearest to -1 in 4, p, -3/2? -3/2 Let d = 22.7 - 23. Let f = 3979/30 - 773/6. What is the nearest to f in 0.5, -3, d? 0.5 Let k = 0.2 + -0.5. Which is the nearest to 2/15? (a) 2/11 (b) -3 (c) k (d) -5 a Let j = -169/12 - -1835/132. Let l = -91 + 93. Which is the nearest to l? (a) -0.4 (b) 42 (c) j c Let c(p) be the second derivative of p**4/12 + 5*p**3/2 - 16*p**2 - 2*p - 14. Let f be c(-17). What is the closest to 0.2 in f, -1/2, -3, 3/4? 3/4 Let y = 33765 + -33764. What is the nearest to y in 8, -15/38, 4? -15/38 Let x be (3/(-2) - -2) + -1. Let r(f) = f**2 - 18*f - 85. Let d be r(22). What is the closest to 1 in 2, x, d? 2 Let k = -7756 + 7778. Which is the nearest to -2/5? (a) -3 (b) k (c) -25 (d) -1/5 d Let b = -148 - -147.2. Let m = -0.27 + -0.03. What is the nearest to 3/2 in m, -0.1, b? -0.1 Let w = 204 + -200. Let l be ((-10)/w + 1)*(-1 + 3). Let z = 0 - -5. What is the closest to 3 in z, l, 0.1? z Let y = 3.886 - -0.114. Which is the nearest to -0.01? (a) y (b) -2 (c) 5 b Let s be (-4)/((1936/1848)/(120/(-154))). What is the nearest to 0.2 in 0.2, s, -2? 0.2 Let a = 7.33 - 5.33. Let u = -0.43 + 0.17. What is the nearest to u in 4, -0.3, 0.1, a? -0.3 Let f = 62 - 47.8. Let l = -14.3 + f. What is the closest to l in -2, -5, -4? -2 Let s = 5 + -9. Suppose 42*o - 83*o - 328 = 0. Let k be (-3)/s + 2/o. What is the nearest to 0 in k, -2/7, 1/7? 1/7 Let j(h) = -25*h - 132 - 13 + 31. Let s be j(-8). What is the closest to 0.1 in -0.4, -5, s? -0.4 Let u = 0.458 + -0.258. Let o = -5 - -8. Suppose q + 4 = o. Which is the nearest to q? (a) -0.4 (b) 0 (c) u a Suppose 4*h = 5*l - 3289, -2 = 19*h - 17*h. Let n = l - 599. What is the closest to 1 in 4, n, 2/23? 2/23 Let j = -28193.7 - -28187. Which is the closest to j? (a) 2 (b) 4 (c) -4 c Let a = -28.42 - -28.52. What is the nearest to 0.09 in 3, 1, -0.1, a? a Suppose 5*u + 66 = 8*l, 3*u - 3*l = -6*l + 15. Which is the nearest to u? (a) 3 (b) 2/27 (c) 57 b Let n = -527/2 - -263. Suppose 6 = 3*h - 2*h. Let p be h/4 - 13/2. Which is the nearest to n? (a) -0.5 (b) 7 (c) p a Let l = -2/15 - -1/120. Let c = 172.74 - 172. Let s = 0.26 + c. What is the closest to s in 2/11, l, -4/3? 2/11 Let i(o) = -o**2 - 92*o - 1787. Let y be i(-28). What is the nearest to -0.1 in -0.6, -126, -1, y? -0.6 Let s = 3408 - 3403. What is the closest to 3 in -5, -4, 6, s? s Let u = -0.688 + 0.62. Let d = 0.432 - u. Which is the closest to -1.2? (a) -0.3 (b) -1/3 (c) d b Let j = -43052 - -43103. What is the nearest to 1/2 in -3/8, 0.28, j? 0.28 Let n = -768.7 - 105.3. Let s = -873.9 - n. Which is the nearest to s? (a) 4 (b) 1 (c) 0.1 (d) -2 c Let p be 2839/(-1336) - (-10)/4. What is the closest to 1 in -4.6, p, -41? p Let y(x) = -2*x**2 - 32*x - 73. Let z be y(-13). Let i = -1.1 + 1.3. Which is the nearest to 0.2? (a) -0.4 (b) i (c) -0.5 (d) z b Suppose 630 = -0*r - 9*r. Let q be ((-36)/8 + 2)*8/r. Which is the closest to 1? (a) 0.7 (b) q (c) -1 (d) 5 a Let d = 361/5 - -338/35. Let i = 139 + -57. Let j = d - i. Which is the closest to 1? (a) 2 (b) 5/2 (c) j a Let p = -4786 + 23944/5. Which is the nearest to -4? (a) 1/4 (b) -0.4 (c) p b Let t = -9616 - -9619. Let s = -1 - -0.9. Which is the nearest to -2/5? (a) t (b) 1.4 (c) s c Let k = 3 - 8. Let r be (-14)/(-112)*-4 + 26/13. What is the closest to -3 in k, r, 2/11? k Let x = -1271 - -1269. Which is the closest to 1? (a) 0.07 (b) x (c) -0.2 (d) -0.5 a Suppose -30 = -811*p + 821*p. Let m = -17 - -18. Which is the closest to m? (a) 16 (b) -0.4 (c) p b Let y = 0.2
{ "pile_set_name": "DM Mathematics" }
.11093. Let t = c + -6. What is t rounded to 5 dps? -0.00006 Let f(i) = -1649997*i**3 + 3*i**2 - 8*i - 4. Let l be f(-2). Round l to the nearest 1000000. 13000000 Let q be (-4)/14 - (0 - 7974/(-21)). What is q rounded to the nearest 1000? 0 Let y = 27215 - 27214.69577. Let u = -0.303 + y. Round u to four dps. 0.0012 Let g = 1172 - 1171.384. Round g to 1 dp. 0.6 Let t = 56692759 - 56692029.00598. Let j = 730 - t. What is j rounded to 3 decimal places? 0.006 Let q = -2586.3 + 2586.42879. Let v = q + -0.122. Round v to three dps. 0.007 Let u(i) = -i**3 + 6*i**2 - 40*i - 25. Let x be u(15). What is x rounded to the nearest 1000? -3000 Let h = 0.0144 - 0.008792. Round h to three dps. 0.006 Let k = 2965 - 2964.97234. Let j = 2.08934 + k. Let x = j - 2.24. Round x to 2 decimal places. -0.12 Suppose -5*r + 4 = -3*r. Suppose 0 = -4*z - 5*k + 1059980, 4*k = -r*z + 278028 + 251956. Suppose y + 4*y = -z. What is y rounded to the nearest 10000? -50000 Let w = -404440 + 404439.8980043. Let m = w - -0.102. What is m rounded to six dps? 0.000004 Let g = -92.09 - 1.91. Let j = 93.99883 + g. Round j to four decimal places. -0.0012 Suppose -5*w = 3*w - 32. Suppose h + w*h + 3213 = 4*c, 3*h = c - 812. What is c rounded to the nearest one hundred? 800 Let d = 1.4 - -6.95. Let f = d - 8. Round f to two decimal places. 0.35 Suppose 0 = 4*s - 2*s - 6. Suppose 2*p - 6*p + 3286 = -s*y, -5*y + 4*p - 5466 = 0. What is y rounded to the nearest 100? -1100 Let c = 172.748 + -105.88. Let x = 0.132 + c. Let d = x + -66.99846. What is d rounded to 4 decimal places? 0.0015 Let v = 47.427 - -0.173. Let s = v + -69.7. Let r = 19 + s. Round r to 0 dps. -3 Suppose -359 - 15789 = -2*h. Let p be h/4 - (-3)/2. Round p to the nearest one thousand. 2000 Let s = -50 - -42. Let a be (-15800010)/(-40) + 2/s. What is a rounded to the nearest 10000? 400000 Let l = -0.1261 - -0.07425. Let z = 0.05 + l. Round z to four decimal places. -0.0019 Let n = -264 + 263.889. Let x = -1.329 + n. Round x to the nearest integer. -1 Let w = 40.8 - 40.799933. What is w rounded to six dps? 0.000067 Let l = 151920.947 - 151993. Let d = -153 + 225. Let g = d + l. What is g rounded to 2 decimal places? -0.05 Let i be (-49)/28*4/(-3)*3. Let f(v) = 145*v**2 + 11*v + 18. Let w be f(i). What is w rounded to the nearest ten thousand? 10000 Let j = -2.968000781 - -2.968. Round j to six dps. -0.000001 Let h = 1.0029458 - 1.08273811. Let a = 0.0798 + h. What is a rounded to 6 decimal places? 0.000008 Let z(q) = -21336*q**2 + 10*q - 6. Let v(f) = f**2 - 2*f - 12. Let b be v(-3). Let l be z(b). What is l rounded to the nearest 10000? -190000 Suppose -q - 3*q - 15180 = 0. Let j = 20550 + q. Suppose j + 59245 = m. What is m rounded to the nearest 10000? 80000 Let p = -16 - -14.86. Let m = -0.947 - p. What is m rounded to two dps? 0.19 Let y = 12.124 + -12.1227223. Round y to five dps. 0.00128 Let o = 183.3 - 179. Round o to 1 decimal place. 4.3 Let d = -536665 + 536664.6999996. Let a = -0.3 - d. What is a rounded to 7 decimal places? 0.0000004 Suppose -3*y - 30 = -8*y + 5*b, -3*b = 3*y. Suppose 14*z - 381 = -y. What is z rounded to the nearest 10? 30 Let u(m) = m**3 - 5*m**2 - 8*m + 18. Let x be u(6). Suppose x*p = p + 1250. Round p to the nearest 10. 250 Let k = -9 - -16. Let b = 12 - k. Suppose 0 = -b*u + 3*f + 11500012, -4*u = f - 14802186 + 5602190. What is u rounded to the nearest one million? 2000000 Let n = 120.24 + -126. Let h = -5 - n. What is h rounded to the nearest integer? 1 Let k = -1121.4 + 1039.03. Let y = -82 - k. Round y to 1 dp. 0.4 Let h = 722.294812 - 0.532812. Let v = 721 - h. What is v rounded to two dps? -0.76 Suppose -3*r - 16 = r, -8 = -4*z - 2*r. Suppose -12 = -z*c, 5*c = 2*h - 6*h - 471985. What is h rounded to the nearest ten thousand? -120000 Suppose 7*g - 4*g = 4*m - 131188, -2*m = -4*g - 65584. Round m to the nearest 1000. 33000 Let o = -6.0622994 - -6.061. What is o rounded to five decimal places? -0.0013 Suppose -5423844 = -3*m - 2228793. Suppose -4*r - 9220067 = z, 5*z = 3*r + 7*z + 6915049. Let p = m + r. What is p rounded to the nearest one hundred thousand? -1200000 Let r(v) = 238*v + 14. Let o be r(7). Suppose 4*a = -2*a + o. What is a rounded to the nearest one hundred? 300 Let a = 1000 - 1070.3. Let j = 65 + a. Round j to 0 decimal places. -5 Suppose 0 = 2*v - 5*l + 11, -4*v - 14 = -8*v - 2*l. Let j be (v - 954/(-5))*(39 - 14). What is j rounded to the nearest 1000? 5000 Let w be (-1 - -1)*4/(-8). Suppose -38005497 = 5*n - l, w*l + 22803294 = -3*n + 2*l. Let z = 26201100 + n. What is z rounded to the nearest one million? 19000000 Let o = 7 + -11. Let s be (-11)/(-4 + (-14)/o). Let k be 94998/5 - s/(-55). What is k rounded to the nearest 1000? 19000 Let j(a) = -34*a + 31. Let k be j(-4). Round k to the nearest one hundred. 200 Suppose 5*x = -1 + 11, 2*x = 2*h - 6952. Let z = h + -4948. Round z to the nearest one hundred. -1500 Let t = 1804 + -1803.211. What is t rounded to two decimal places? 0.79 Suppose 10*l + l = 0. Suppose l = 3*o - 9, -5*t = -0*o - 2*o + 11706. Round t to the nearest 100. -2300 Let z(t) = -6956001*t**3 + 4*t**2 - 4*t + 1. Let x be z(1). Round x to the nearest 1000000. -7000000 Let z = 8639919.833667 - 9147146.9096721. Let t = 507227 + z. Let q = 0.076 + t. What is q rounded to 6 dps? -0.000005 Let j(q) be the first derivative of 79001*q**2 + 10*q - 4. Let a be j(-5). What is a rounded to the nearest one hundred thousand? -800000 Let c = -255 - -253.83. Let n = c + 1.1699939. What is n rounded to 6 decimal places? -0.000006 Suppose -9*i = 40288 + 24062. Round i to the nearest 1000. -7000 Let r = 10.41 + -10.545. What is r rounded to two dps? -0.14 Let b = -235 - -235.0000628. Round b to six dps. 0.000063 Let p = -72971 - -151131. What is p rounded to the nearest ten thousand? 80000 Let t = -0.358 - 15.62. Let x = -16 - t. Round x to 2 decimal places. -0.02 Let j = -275.14 + 272. Round j to 1 dp. -3.1 Let x = 0.00545 + -0.005444453. Round x to six dps. 0.000006 Let d = 850652 - 1605352. Round d to the nearest 100000. -800000 Let u = 27801581 - 8017581. Round u to the nearest one million. 20000000 Let o = -4.151 - 1926.849. Let t = o - -1867.04. Let f = t - -65. Round f to 1 dp. 1 Let f = -21 + 55. Let z = -33.99999953 + f. Round z to seven dps. 0.0000005 Let z = 1451 - -462. Let d = z - 1912.9049. Round d to 2 decimal places. 0.1 Let n = 62094 + -62172.522. Let a = n - -77.7. Let c = 0.76 + a. What is c rounded to two decimal places? -0.06 Let r = 2562.19 + -2548.19109. Let x = 49 - 63. Let n = x + r. Round n to 4 decimal places. -0.0011 Let g = 28 + -26. Suppose -l = -g*x - 25402, 2*x = -4*l + 3*x + 101601. Round l to the nearest one thousand. 25000 Let s = 451 - 221. Let v = s + -230.00422. What is v rounded to 3 decimal places? -0.004 Let n = 370.000123 - 370. Round n to 4 decimal places. 0.0001 Let i = -13407.30741 + 13407. Let a = i - -0.309. What is a rounded to 4 decimal places? 0.0016 Let h = 4337.2699964 - 4337.3. Let t = -0.03 - h. What is t rounded to six dps? 0.000004 Let m(h) = h**3 + 4*h**2 + h + 1. Let b be m(-3). Suppose -6*t + b*t = 4732. Suppose -2*g = -68 - t. What is g rounded to the nearest 1000? 2000 Suppose 0 = -2*b - 4*p + 39098, -3*b + 0*p = -2*p - 58663. Let u be b/(-5) - (-6)/10. What is u rounded to the nearest one hundred? -3900 Let x = -2.858 + 5.249. What is x rounded to 1 dp? 2.4 Suppose 20 = 3*m + m, 55 = 2*t + 3*m. Let h = 14 - t. Let g be 3000/(h*(-2)/(-10000)). What is g rounded to the nearest one million? -3000000 Let k(d) = -d + 1. Let z be k(-2). Suppose 5 = -5*u, -3282 = -4*w + z*w + 5*u. Let y = w + -7377. What is y rounded to the nearest 1000? -4000 Let i = -77 - -28. Let c = i - -53.944. Let z = c - 5. What is z rounded to two decimal places? -0.06 Let q = 0.076 - 115.676. What is q rounded to the nearest 10? -120 Let y = 24.308330714 + -287.308328724. Let t = -263 - y. Round t to 7 decimal places. -0.000002 Let v = 251959478.9999863 - 251959780. Let l = 125 - 426. Let t = v - l. What is t rounded to 6 decimal places? -0.000014 Let r = -52.4 + 69. Let t = r - 22.97. Round t to 1 dp. -6.4 Let v = -2595106583.0000111 + 2595106313. Let t = -270 - v. Round t to six dps. 0.000011 Let g = -9 + 9.000031. What is g rounded t
{ "pile_set_name": "DM Mathematics" }
5 + 7 - 7 + 2*y**3 + (-2*y**4 + 3*y**2 - 3*y**2)*(-1 + 3*y + 1). -7*y**5 + 2*y**3 Expand (2 - 2 - x)*(-1 + 2*x + 1) + (3*x + 2*x**2 - 3*x)*(0 + 2 - 3). -4*x**2 Expand (1 + 1 - 4 + 2 + 3 - 4 + 4 + 0 - 2 + (-4 + 5 - 2)*(1 + 3 - 3) - 3 + 1 + 0)*(-8*b**3 + 6*b**3 + 0 + 1). 4*b**3 - 2 Expand (-2*n**3 + 0 + 0)*(0*n - 5*n**2 - 5*n + 3*n). 10*n**5 + 4*n**4 Expand (-3 + 2 + 11*v - 14*v)*(1 - 3 - 1) + 3*v - 3*v + 2*v. 11*v + 3 Expand ((0*a - 3*a + a)*(a**2 - 3*a**2 + a**2) - 1 + a**3 + 1 + 3*a**3 - 4*a**3 + 3*a**3)*(-1 + 3 - 1). 5*a**3 Expand (1 + 3 - 3)*(-3 + 5 - 3 - 2 - 1 + 2 + (3 - 4 + 2)*(7 - 3 - 3))*(-21*n + 0*n + 0*n). 21*n Expand ((-1 + 6 - 3)*(-5 + 5 + 2*g**3) + g**3 + 4*g**2 - 4*g**2)*(3*g**2 - 4*g**2 + 4*g**2). 15*g**5 Expand (6*m**2 + 6*m**2 - 3*m**2)*((-1 + 3 + 1)*(-m - 1 + 1) + 2*m + 4 - 4). -9*m**3 Expand 13*v - 13*v + 2*v**3 + (0*v + 2*v - 4*v)*(-v + 2*v + v - v**2). 4*v**3 - 4*v**2 Expand -z**3 - 2*z + 2*z + (5*z**2 + 0*z**2 - 3*z**2)*(z + 4*z - 3*z) + (-z**3 + 3*z**3 - z**3)*(2 + 7 - 2). 10*z**3 Expand (-2*z**2 + 2*z**2 - 2*z**2)*(5 - 3 - 3) + 4*z**2 + 0*z**2 - 3*z**2. 3*z**2 Expand -4*c**3 + 5*c**3 + 2*c**3 + (-c + 2*c - 2*c)*(2*c**2 - c**2 - 2*c**2). 4*c**3 Expand (-13 - 1 + 7)*(4 - 9*c - 4) - 5*c + c + c. 60*c Expand (3 - 8 - 13)*(0 + 0*a - 2 + a). -18*a + 36 Expand (-5*x + 3*x - 3*x - 3*x - x + 2*x + 2*x - 2*x - x + (-2 - 3 + 3)*(-x + x - 2*x))*(-x - x + x). 4*x**2 Expand -3*o + 2*o + 3*o + (o - o + 2*o)*(1 - 2 + 2). 4*o Expand -3*x + 4*x - 2*x + (1 - x - 1)*(3 + 2 - 6) - 3*x + 2*x - x + (0 + 2 - 4)*(3 - 3 + 2*x). -6*x Expand (-3*d**4 - d**4 + 2*d**4)*(-3*d - d + 3*d) - 7*d**5 + 9*d**5 - 3 + 4. 4*d**5 + 1 Expand (5 - 4 - 2)*(-2*y + y - 2*y). 3*y Expand (4*v**2 + 6*v**2 + v**2)*(-5*v - 18 + 18). -55*v**3 Expand 2*x**4 - 3*x + 3*x + (-2*x**2 + 2*x**2 + 2*x**4)*(5 - 1 - 3) - 10*x**4 + 1 - 1 - 4 + 4 + x**4. -5*x**4 Expand (-3 + 5 - 3)*(1 - 1 + h) + 3 + 4*h - 3. 3*h Expand (-1 - 1 + 4 + 2 + 3 - 3 + (0 - 5 + 6)*(-2 + 2 - 1) + 2 + 4 - 5 + 1 - 2 + 0)*(2*b**2 + 2*b**2 - 2*b**2). 6*b**2 Expand (2*v - 3*v + 1 + 3*v)*(5 + 10 - 27). -24*v - 12 Expand 0*r**5 + 4*r**5 - 6*r**5 - 3*r**5 + 3*r**5 - r**5 + (1 - 1 + 4)*(-7*r**3 - 3*r**3 + r**3)*(-3 + 3 - r**2). 33*r**5 Expand (-1 - 5 + 1)*(-5 + 4 + 3)*(-4*r + 7*r + 5*r). -80*r Expand (8 + 2 - 1)*(2*s - 3*s - s). -18*s Expand (-2*k**2 + 2*k**3 + 2*k**2)*(k - 4*k - 14*k) + (-1 + 0 + 0)*(0*k**2 + k**4 - 2*k**4 + 2*k**2). -33*k**4 - 2*k**2 Expand (3*i + 0*i - i)*(-2 + 0 + 4)*(-2 + 1 + 0) + 0*i - 4*i + 2*i - i + 2*i + i. -4*i Expand (-2*l**2 - l**2 + 5*l**2)*(-35*l - 43 + 43) + 0 + 0 + l**3. -69*l**3 Expand (3 - 2 + 1)*(-3*g - 2*g + 6*g)*(-4*g**3 + 9*g**3 + 3*g**3). 16*g**4 Expand (-2*k - k + 11*k)*(-k**4 + k**3 - k**3). -8*k**5 Expand -2*l + 3*l + 4*l + 3 - 3 + l + (2*l + 1 - 1)*(5 + 0 - 3) + 5*l - 3*l + 0*l. 12*l Expand (-7 + 4 + 1)*(w**5 - w**5 + 4*w**5) - 10*w**3 + 10*w**3 - 3*w**5. -11*w**5 Expand ((3*b - b - 3*b)*(-4 + 4 - 3) + b - 1 - 2 + 1)*(3*b + 0*b + 0*b). 12*b**2 - 6*b Expand -28 + 20*w + 28 + 6 - 6 + 3*w + (-2 - 1 + 1)*(-3*w + 2*w + 0*w). 25*w Expand (-2*t + 2*t + t)*(-1 + 1 + 2*t). 2*t**2 Expand (v - 2*v**2 - v)*(4 - 2 - 3 + 3 + 1 - 6 + (4 - 4 - 1)*(1 - 3 + 4) - 3 + 4 - 3 - 4 + 4 + 2). 10*v**2 Expand (2 + 1 - 1)*(-2 - 1 + 1)*(t**4 + 2 - 2). -4*t**4 Expand -2*o**2 + o**2 - o**2 + (-4*o + 2*o + 0*o)*(-o + 3*o + 0*o) + 2*o**2 + 0*o**2 - 4*o**2 + (0*o + o - 2*o)*(-2*o + 3 - 3). -6*o**2 Expand (g**2 + 2*g**2 - 2*g**2)*(-30*g - 12*g - 6*g + (2 - 2*g - 2)*(0 - 1 - 1)). -44*g**3 Expand (3*o**2 + 6*o**2 + 0*o**2)*(4 - 3 - 2 - o). -9*o**3 - 9*o**2 Expand (-4*r + 4*r - 6*r)*(-r + 0*r + 10*r). -54*r**2 Expand (30*y**2 - 13*y**2 - 18*y**2)*(1 - 2 + 0)*(4*y**3 - y**3 - y**3). 2*y**5 Expand 4*s**2 - 3*s**2 - 2*s**2 + (-2*s - 2 + 2)*(1 + 2*s - 1). -5*s**2 Expand (1 - 1 - 2)*(2*h + 0*h + 0*h) + (3 + 2 - 4)*(-4*h + 2*h + 0*h). -6*h Expand -f**3 - 3*f**3 + 5*f**3 - 3 - 44*f**2 + 2*f**3 + 1 + 42*f**2 + (1 - 1 + 2*f**2)*(4 - 4 + f). 5*f**3 - 2*f**2 - 2 Expand -n**4 + 5*n**4 - n**4 + (0*n**2 + 4*n**2 - 3*n**2)*(-5*n**2 + 3*n**2 + n**2). 2*n**4 Expand (2 - 2 - 2)*(4 + 12 - 2)*(f + 2 - 2). -28*f Expand (-3 + 2*u**2 + 3)*(-5 - 3 + 0). -16*u**2 Expand -23*o**3 - 7*o**5 + 23*o**3 + (-5*o + 5*o + o**2)*(2*o**3 - 3*o**3 + 2*o**3). -6*o**5 Expand 4*x**3 + 0*x**3 - x**3 + (-3*x - x + 3*x)*(2*x**2 - 3*x**2 + 0*x**2) + 0*x - 2*x**3 + 0*x + (0 + 0 - x**2)*(1 - 1 - x) - 4 + 3*x**3 + 4. 6*x**3 Expand -2*k + 2*k + k - 3*k**5 + (-4*k**4 - k**4 + 4*k**4)*(-4*k + 4*k - 2*k) - 5*k**5 + k**5 + 5*k**5 - 2*k**5 - 2*k**5 + 2*k**5. -2*k**5 + k Expand (2*c - 11*c + 0*c)*(-3 + 1 + 3)*(-2 + 2 - 2*c**2). 18*c**3 Expand (-6*q + 2*q + 5*q)*(-3 + 4*q - 3*q + 1). q**2 - 2*q Expand -1 - 6*h + 4*h - 1 + (4*h - h - 2*h)*(0 - 5 + 2) + 4*h - 4*h - 3*h. -8*h - 2 Expand (112*b + 7 + b**2 - 112*b)*(0 - 2*b + 0) + (-1 - b + 1)*(2*b**2 + 2*b**2 - 5*b**2). -b**3 - 14*b Expand -3*b**4 + 4*b**4 - 3*b**4 - b**4 - 6*b**4 + 4*b**4 - 1 - b**4 + 1 + (4 - b**3 - 4)*(b - b + 2*b). -8*b**4 Expand (-1 - 2 + 1 - n)*(3 + 2 + 6)*(4 + 0 + 0). -44*n - 88 Expand (-24 + 12 + 8)*(-1 + 5 - 2*p - 2). 8*p - 8 Expand (-6 - 9 + 11)*(3 - 3 + u). -4*u Expand (8*v + 2*v - 3*v)*(v + 4*v - 2*v). 21*v**2 Expand -a**4 + 0*a**4 + 2*a**4 + (1 + a**3 - 1)*(a + a + 0*a) + a**4 - a**2 + a**2 + (5 - 2*a - 5)*(2*a**3 - a**3 + 0*a**3) + 3*a**4 + 34*a**3 - 34*a**3. 5*a**4 Expand (-4 - 1 + 3)*(-1 - z + 1)*(0*z + 0*z + 2*z)*(-2 + 4 - 1). 4*z**2 Expand 0*p**5 - 3*p**5 + p**5 - 16*p**4 + 16*p**4 + 18*p**5 + (0*p**5 - 2*p**5 + 0*p**5)*(-5 + 2 + 1) + 0*p**3 + p**5 + 0*p**3. 21*p**5 Expand (4 + 0 - 2)*(0*q**3 - q**3 + 4*q**3)*(0 + 0 - q). -6*q**4 Expand (-l**3 + 3*l - 3*l)*(-3*l**2 + 4*l**2 - 11*l**2). 10*l**5 Expand 10*l**3 - 10*l**3 + 5*l**5 + (l**2 + 0*l**2 + l**2)*(3*l**3 - 2*l**3 + l**3). 9*l**5 Expand 3*a - 3*a - a + (3 + 3 - 5)*(2 + a - 2) + a - 2*a + 2*a - 3*a + 2*a + 0*a - 2*a - a + a - 43*a + 272 - 272. -45*a Expand (-3 - 4 + 4)*(2*q**3 + q**2 - q**2) + (-1 + 0 + 5)*(-3*q**2 + 3*q**2 - q**3). -10*q**3 Expand (-3*p + 5*p + 0*p)*(2 + 4 - 4) + (19 - 12 + 12)*(4*p - 2*p - p). 23*p Expand (2*k**2 + 0 + 0)*((-2*k**2 + 3*k**2 - 3*k**2)*(2 - 4 + 0) + 3 - 3 - 2*k**2). 4*k**4 Expand (18 + 11 - 13)*(-3*l + l + 0*l) + 2*l - 1 + 1. -30*l Expand (3*r + r - 2*r)*(-5 + r + 5)*(8*r + r - 33*r). -48*r**3 Expand 0*j + j - 2*j + (-3*j + 2*j + 0*j)*(7 - 9 - 15). 16*j Expand ((-2 - g + 2)*(3 - 1 + 0) - 4*g + 3*g + 0*g - 8*g + 2*g + g)*(-g - g**3 - 2*g + 0*g). 8*g**4 + 24*g**2 Expand (6*l + 5 - 5)*(-2 - 1 + 7). 24*l Expand -3*u + 3*u + 2*u + (2 + 3 - 3)*(u + 1 - 1) - 1179 + 1179 - 58*u. -54*u Expand (-21*j + 1 + 19*j + 1)*(j**4 - j**4 + j**4). -2*j**5 + 2*j**4 Expand -j**4 - j**2 + j**2 + (0*j**3 + 2*j**3 - 3*j**3)*(2*j - 4*j + 11*j). -10*j**4 Expand 1 - 1 + 3*d + 0*d - 4*d + 3*d + (0 - 2 + 4)*(d + 3*d - 5*d) - 4*d - 2*d + 4*d + 2 - 2 - 2*d - d + 0 + 0. -5*d Expand (-o + 4*o + 3*o)*(3 + 3 - 5)*(1 - 6 + 3). -12*o Expand (4 - 4 - 2*m)*(3 - 1 - 4) - 2*m + 8 - 8*m + 11*m. 5*m + 8 Expand (1 + 2*j**2 - 1 + (-2 - 4 + 4)*(-3*j**2 + 6*j**2 - j**2) + 2*j**2 + 0*j**2 - j**2)*(6*j - 8*j - 9*j). 11*j**3 Expand (0 + 0 - x + (2 + 3 - 4)*(5*x + 0*x - 7*x))*(3 - 2*x - 3). 6*x**2 Expand (m**3 + 4*m**3 - 3*m**3)*(-4*m + m + m)*(-4 + 2 + 3). -4*m**4 Expand -3 - d + 3 + (2*d + 4 - 4)*(3 - 4 + 2) - 4*d + 5*d - 2*d + 3*d - 3*d - 2*d - 2*d + 0*d + d. -3*d Expand (-7*z + 2*z - z**3 + 9*z)*(-4*z + 4*z - 3*z). 3*z**4 - 12*z**2 Expand (-1 - 4 + 3)*(1 - 1 - 2*h) + h + 2 - 2 + 22*h - 99*h - 15 + 15. -72*h Expand -2*d**3 + 2*d**3 + 2*d**4 + (2*d**3 + 0*d**2 + 0*d**2)*(-2*d + 3*d + d) - 2*d**4 - 2*d**4 + 3*d**4. 5*d**4 Expand (v - v - 4*v**4)*(-2*v - v + 4*v) + v**4 + 6*v**3 - 6*v**3 - 8*v**5. -12*v**5 + v**4 Expand -3*q**3 - 1 - 1 + 4 + (q - 2*q - q)*(-2*q**2 + 0*q**2 + 7*q**2). -13*q**3 + 2 Expand (-1 + 0 + 2)*(0 - 3 + 2)*(-17*g + 3*g + 33*g). -19*g Expand (z**2 - z**2 + 2*z**3)*(z**2 + 0*z**2 + z**2) + (4*z**4 - z**4 + 0*z**4)*(-4*z + 0*z + 3*z). z**5 Expand -5 + 5 + b**5 + (-4*b**3 + 5*b**3 - 2*b**3)*(0 - 12*b**2 + 15*b**2 + 1). -2*b**5 - b**3 Expand (-4 - 1 + 0)*(5 + 3*z - 6 + z). -20*z + 5 Expand (-2 + 2 - 6)*((2 - 2 - 2)*(4*p - 5*p + 0*p) - 4 + 3*p + 4). -30*p Expand (1 + 2*o - 1)*(-3*o + 0*o + 2*o) - 3*o**2 + o**2 + o**2 + 7 - 7 - 3*
{ "pile_set_name": "DM Mathematics" }
etermine a(o). 0 Let w(i) = 65 + 8*i + 15 - i**3 + 4 - 99 - 9*i**2. Give w(-10). 5 Let d(v) = -587 - 595 - 24*v - 597 - 590 + 2356. Determine d(1). -37 Let a(y) = -8 - 15*y - 26 - 12 + 1 + 19*y. What is a(14)? 11 Let r(v) be the second derivative of -v**6/720 + v**5/30 + 11*v**4/12 - 5*v**3/6 + 9*v. Let t(o) be the third derivative of r(o). Give t(7). -3 Let q(t) = -18*t**3 - 3*t**2 + 9*t - 4. Let c(g) = -97*g**3 - 14*g**2 + 46*g - 20. Let v(u) = 3*c(u) - 16*q(u). Calculate v(2). -8 Suppose 0 = -18*y + 82752 - 82716. Let z(c) be the second derivative of 0 - 3/2*c**y - c**3 + 1/12*c**4 + 31*c. Determine z(6). -3 Let f(x) = x**2 + 4*x - 8. Suppose 85*m + b + 23 = 81*m, 3*m - 2*b = -9. What is f(m)? -3 Suppose 12*c = 4*n + 20, 1017*c = 1022*c - 3*n - 7. Let p(w) be the third derivative of -w**4/24 + w**3/3 + 2*w**2. Determine p(c). 0 Let f = 86 + -82. Let m(i) = -2*i**2 + 4*i + 5. Let u(s) = -10*s**2 + 20*s + 24. Let q(n) = 16*m(n) - 3*u(n). Determine q(f). -8 Let v(q) = -2*q**2 + 24*q - 37. Let h be (((-45)/(-20))/((-15)/10))/((-2)/12). What is v(h)? 17 Let u(j) be the first derivative of 5/2*j**2 - 1/4*j**4 + 8 - 7*j - 1/3*j**3. Let y be u(-3). Let o(f) = f**2 - 5. Determine o(y). 11 Suppose -4*j = -4*v - 8, -4 = -4*j - 4*v + 4. Let f(i) = -i**3 - 15*i - 3*i**j - 5 + 5 + 8*i + 6*i. Calculate f(-3). 3 Let j(m) = 2*m + 1. Let r(d) = 8*d + 59. Let z be r(-5). Suppose 17*y - 10 = z*y. Calculate j(y). -9 Let w be 4/(-10) + 6/(-10). Let j = -1 - w. Let h(z) be the first derivative of z**2/2 - 6*z + 925. Determine h(j). -6 Let j(o) = 3*o - 1. Let z = 75 - 61. Let l = 22 - z. Suppose -3*s - 5*s = -l. Calculate j(s). 2 Let z(c) = -3*c - 4. Let q(f) = -14*f - 21. Let t = -65 - -61. Let b(r) = t*q(r) + 21*z(r). Let a = 71 - 70. Give b(a). -7 Let v(q) = -46*q - 10. Let s(n) = 15*n - 2. Let f(l) = 3*s(l) + v(l). Calculate f(-2). -14 Let c be ((-8)/(-6) - 3/(-9))*(-8 + -7). Let m(k) = 6*k + 152. What is m(c)? 2 Let c(g) = -g**2 - 5*g + 1. Let t(l) = 10*l**2 + 30*l - 5. Let y(f) = -6*c(f) - t(f). Determine y(-1). -5 Let s be (-1)/(-10) - (7377/(-30) - 4). Let h(x) = -5*x**2 + s*x**3 + 2 - 124*x**3 - 125*x**3 + 5*x - 2*x**2. What is h(6)? -4 Let j(t) = t**2 - 9*t - 4. Let u be 9/21*(180 - 173). Determine j(u). -22 Let h(f) be the third derivative of 23*f**2 + 0*f + 0 + 0*f**3 - 1/40*f**5 + 11/12*f**4 - 1/720*f**6. Let i(z) be the second derivative of h(z). Calculate i(0). -3 Let s = -4 - -7. Let t(c) = -2*c + c + 2 - s - 2. Let p(k) = 24*k**2 - 49*k + 9. Let x be p(2). Calculate t(x). -10 Let q = 14245 - 14232. Let w(n) = -n**3 + 13*n**2 - 18. Give w(q). -18 Suppose 5*k = -2*a + 21 + 7, k + 3*a - 3 = 0. Let t(y) be the first derivative of 2*y**3 - 1/4*y**4 + 22 - 1/2*y**2 - y. Give t(k). -7 Let w(z) = 3*z**3 - 39*z**2 + 122*z - 133. Let n be w(9). Let b(i) = -i**3 - 9*i**2 - 11*i + 13. Determine b(n). -8 Let o be -2*2/(-8)*0. Let z(y) = 6*y**3 + 5*y**2 + 6*y - 2. Let j(d) = -36*d**3 + d + 16*d**3 + 21*d**3 + d**2. Let h(c) = -5*j(c) + z(c). Calculate h(o). -2 Let h(d) be the first derivative of d**2/2 - 2*d - 555. Give h(-7). -9 Let w(v) be the second derivative of 4*v**3/3 + 81*v**2 - 1479*v. Calculate w(-21). -6 Let l(b) = -4*b**2 + 23*b + 18. Let u(v) = 9*v**2 - 45*v - 37. Let i(h) = -5*l(h) - 2*u(h). Calculate i(13). -3 Let v(b) = 3*b**2. Let h(n) = 5*n**2 + n. Let m(q) = -4*h(q) + 7*v(q). Let p = 46 + -24. Suppose p = 5*c + 7. Give m(c). -3 Let i = 36 + -100. Let t = i - -114. Let d(x) = 5*x - 54 + t - 3*x + x**2. Calculate d(-4). 4 Let f(g) = -7*g**2 + 3*g - 3. Let v(x) = 6*x**2 - 2*x + 3. Suppose s = 6*s + 15, 0 = -j - 3*s - 14. Let i(w) = j*f(w) - 6*v(w). Give i(-3). -3 Let v(n) = -n**3 - n**2 + 3*n + 2. Let r(f) = 26*f - 58*f + 28*f. Let c be r(0). Suppose c = 3*b - 5*b - 4. Determine v(b). 0 Let t(d) = -d**3 + 11*d**2 - 11*d + 6. Suppose 10*z + 8*z - 90 = 0. Suppose -z*l = 2*g + 2 - 27, 2*g + 4*l - 24 = 0. Give t(g). -4 Let c(q) = q**3 + 9*q**2 + 6*q - 9. Suppose r = -5*w + 17, 3*r = 5*r + 3*w - 20. Suppose 5*o = 172 + 73. Suppose -o = r*n + 7. Calculate c(n). 7 Let l(z) = 4*z - 2 - z**2 - 1 - z**2. Let a(h) = -h**3 + 27*h**2 - 26*h - 7. Let q be a(26). Let w be (1 - -4)*(q + (-444)/(-60)). What is l(w)? -3 Let v(i) = i**3 + 2*i - 3. Let f be (-162)/10 + 3 - 8/10. Let p(g) = g**2 + 12*g - 31. Let c be p(f). Calculate v(c). -36 Suppose -29273*b - 84 = -29267*b. Let z(g) = -g**2 - 6*g + 108. Give z(b). -4 Let s(q) = -q + 15. Let g = -3627 - -3648. Calculate s(g). -6 Suppose 14*z - 95 = -39. Let v be 6 + -1 + (8 - z). Let p(d) = -d**2 + 9*d + 13. What is p(v)? 13 Let x(n) be the second derivative of n**5/10 - n**4/4 - n**3/2 - 3*n**2/2 + 27*n - 3. Determine x(3). 15 Let o(c) be the third derivative of c**6/120 - c**5/20 - c**4/4 + 2*c**3/3 - 14*c**2 - 6*c. Let d = 2 - -2. Give o(d). -4 Let j(m) be the second derivative of 1/6*m**3 + 0 - m**2 - 18*m. Determine j(-2). -4 Let y(p) be the third derivative of p**5/60 + 13*p**4/24 + 2*p**3 - 4*p**2 + 62*p. What is y(-8)? -28 Let u(b) = -10 - 2*b + 0*b - 3*b. Let k be 2/6 - (-10)/180*-6. Suppose 9*t = 5*t, -2*w - t - 14 = k. Give u(w). 25 Let o be 120/100*20/6. Suppose -o*i - 27 = -3. Let w(h) = h**3 + 7*h**2 + 8*h + 4. What is w(i)? -8 Suppose 0*w = w + 7. Let a be 0/(-13 + 5 - -12). Let r(x) = -2 + 8*x - 19*x + 10*x + a*x. What is r(w)? 5 Let z(l) = 10*l - 2. Let n(q) = 12*q - 3. Let v = 2 + 2. Let m(f) = v*n(f) - 5*z(f). Calculate m(2). -6 Let l be 1/(4/(-10) + 6/10). Suppose 7*g + l = 2*g. Let f(b) = -21*b**2 + b + 1. Give f(g). -21 Let g be -3 - (-3 + 3) - -8. Suppose 3*d = g*d - 4. Let p(r) = 16*r - 33*r + 7*r + 9*r + 3*r - 3. What is p(d)? 1 Let z(f) = 16*f**2 - 15*f + 7. Suppose 4 = -3*t + 5*r + 40, 0 = 2*t + r + 2. Give z(t). 41 Let k(w) be the second derivative of -w**4/12 + 19*w**3/6 + 57*w**2/2 - 2*w + 2881. Determine k(-3). -9 Let k(o) be the first derivative of -o**3/3 - 4*o**2 - 15*o - 20. Let j be k(-5). Suppose j = u - 2*u + 2. Let c(s) = -7*s + 2. Calculate c(u). -12 Let j = 4081 + -4092. Let w(k) = -k**3 - 13*k**2 - 19*k + 9. Give w(j). -24 Let y(z) = -15*z - 5. Let i = -26 + 28. Suppose -39 + 31 = i*g. Let n(w) = -w - 1. Let t(p) = g*n(p) + y(p). What is t(1)? -12 Let a(t) = -109*t**2 - 105*t**2 + 15*t + 211*t**2 - 26. Determine a(2). -8 Let c(r) be the second derivative of -2*r**3 - 103*r**2/2 - 82*r - 20. Determine c(-12). 41 Suppose 0 = 4*s + q - 8, 4*s - 2*q = -0*q + 8. Suppose -s*t = -4*n - 0*t - 24, 0 = 5*t. Let v(y) = y**2 + 6*y - 1. Determine v(n). -1 Let v(p) = p**3 - 13*p**2 - 30*p - 1. Let f be v(15). Let u(q) be the third derivative of -q**5/12 - q**4/12 - q**3/6 - 54*q**2 - 2*q. Give u(f). -4 Let u(m) = 2*m**3 + 1. Let s(a) be the third derivative of -a**6/120 + a**4/4 - a**3/2 + 3*a**2 + 10. Let y be s(2). Determine u(y). 3 Suppose -15 = 109*x - 112*x. Let l(k) = -4*k - x + 4*k - k**2 - 4*k + 2*k**2. What is l(5)? 0 Suppose 2*p - a = -2, p - 2*p = 4*a - 8. Suppose 6*g + 330 + 66 = p. Let b = -59 - g. Let t(f) = -f**2 + 7*f - 10. Give t(b). -10 Let t(o) be the first derivative of 5/3*o**3 - 2 + 2*o**2 + 3*o + 1/4*o**4. Calculate t(-4). 3 Let w(v) = -5*v + 236. Let j(m) = -2*m + 116. Let k(i) = 2*j(i) - w(i). Let b be 30/10 + 11/(-1). Give k(b). -12 Let l(i) = i**2 - 41*i - 125. Let o(c) = 4*c**2 - 10*c + 20. Let a be o(4). Calculate l(a). 7 Let y be (-67)/335 - 131/(-5). Let n(s) = 2*s**2 - 55*s + 89. Let t be n(y). Let q(d) = d**3 - 10*d**2 - 12*d + 11. Give q(t). 0 Let l = 19 + -17. Let u be (-8)/(-6) - l/6. Let r(s) = u - 8*s + 9 - 7 + s**2 + s. What is r(6)? -3 Let r(c) = 43*c + 300. Let i be r(-7). Let u(d) be the third derivative of 1/6*d**3 + 0 + 0*d - d**2 + 1/24*d**4 + 1/20*d**5. What is u(i)? 3 Let g(i) = -i + 4. Let v(y) = 4*y + 21. Let b(a) = -5*a - 22. Let s(n) = -5*b(n) - 6*v(n). Let c(o) = -9*g(o) - 2*s(o). What is c(1)? 3 Let h(b) be the third derivative of 1/60*b**5 - 2*b**2 - 13/24*b**4 + 2/3*b**3 + 16 + 0*b. Calculate h(9). -32 Let w(y) = 4*y + 5. Let i(r) = -4*r - 5. Let o(t) = -5*i(t) - 4*w(t). Let s be 1/5 + (-15132)/(-65) - 0. Let h = 237 - s. Calculate o(h). 21 Let g(t) = -3*t + 152. Let n(w) = 3*w - 120. Let s(d) = -4*g(d) - 5*n(d). Let a(p) = p**2 + 7*p - 2. Let y be a(-6). Let h be 3/(-12) + 62/y. What is s(h)? 16 Let d(v) be the second derivativ
{ "pile_set_name": "DM Mathematics" }
of sequence wwz when three letters picked without replacement from {m: 4, l: 1, o: 1, r: 1, z: 2, w: 3}. 1/110 Two letters picked without replacement from {x: 1, a: 3}. What is prob of sequence xa? 1/4 Calculate prob of sequence gn when two letters picked without replacement from ccgcncgcpgpnppg. 4/105 Two letters picked without replacement from {j: 1, e: 2, w: 2}. Give prob of sequence ee. 1/10 What is prob of sequence gpg when three letters picked without replacement from ggqggpgqxxglfgxg? 1/60 Two letters picked without replacement from nnnynnynnynnnnnon. Give prob of sequence nn. 39/68 What is prob of sequence uff when three letters picked without replacement from umuuf? 0 Four letters picked without replacement from {g: 5, p: 13}. What is prob of sequence pggg? 13/1224 What is prob of sequence ie when two letters picked without replacement from vixeifxe? 1/14 Calculate prob of sequence hhht when four letters picked without replacement from {t: 2, h: 3}. 1/10 What is prob of sequence lnil when four letters picked without replacement from ngigolgg? 0 Four letters picked without replacement from {a: 8, y: 3}. Give prob of sequence yaya. 7/165 Four letters picked without replacement from {t: 4, d: 7, j: 4}. Give prob of sequence jttj. 2/455 Four letters picked without replacement from {m: 1, g: 2, r: 3, j: 4, u: 2}. Give prob of sequence rrgu. 1/495 Three letters picked without replacement from wlolfmp. Give prob of sequence mom. 0 Two letters picked without replacement from {g: 17, c: 2}. Give prob of sequence gg. 136/171 Four letters picked without replacement from {n: 3, x: 1, b: 1, p: 3, l: 1, i: 2}. What is prob of sequence pxbl? 1/2640 Two letters picked without replacement from {s: 15, n: 4}. What is prob of sequence ns? 10/57 What is prob of sequence brzm when four letters picked without replacement from zrbycym? 1/840 Three letters picked without replacement from dkvccvkddddcvcckik. What is prob of sequence vvc? 5/816 Four letters picked without replacement from cccqcqcqccq. What is prob of sequence ccqq? 7/110 Four letters picked without replacement from jggggjggg. What is prob of sequence gggj? 5/36 What is prob of sequence ls when two letters picked without replacement from xgssysl? 1/14 What is prob of sequence ivv when three letters picked without replacement from {v: 3, i: 1, z: 4}? 1/56 Three letters picked without replacement from {m: 2, i: 3, s: 3, g: 1, w: 1, d: 2}. Give prob of sequence wdi. 1/220 Calculate prob of sequence uurz when four letters picked without replacement from {r: 1, y: 2, i: 6, z: 4, u: 2}. 1/4095 Calculate prob of sequence fjpp when four letters picked without replacement from vjjfjjjpfvfjp. 3/1430 What is prob of sequence oxv when three letters picked without replacement from kkvhkrkrhorhkx? 1/2184 Two letters picked without replacement from {e: 3, w: 1, r: 2, y: 1, c: 2, a: 3}. Give prob of sequence ea. 3/44 Three letters picked without replacement from yvyyvy. Give prob of sequence yvv. 1/15 Three letters picked without replacement from {b: 1, u: 12, e: 4, y: 2}. What is prob of sequence uee? 8/323 Calculate prob of sequence rjq when three letters picked without replacement from {t: 3, r: 4, j: 1, q: 3, l: 2, z: 2}. 2/455 What is prob of sequence vg when two letters picked without replacement from vgvvggppppgppvvvp? 3/34 Four letters picked without replacement from alaldg. What is prob of sequence glda? 1/90 Four letters picked without replacement from {q: 5}. What is prob of sequence qqqq? 1 Three letters picked without replacement from {q: 5, c: 4, l: 1, d: 1}. Give prob of sequence lqd. 1/198 Calculate prob of sequence kk when two letters picked without replacement from vkkzkkkvzkk. 21/55 What is prob of sequence kzvz when four letters picked without replacement from vssivssvsvvzvzkzsz? 1/1020 Calculate prob of sequence aj when two letters picked without replacement from {g: 2, p: 2, j: 10, a: 4, z: 1}. 20/171 Three letters picked without replacement from ohhpprooporohooopo. Give prob of sequence poo. 1/17 What is prob of sequence nbq when three letters picked without replacement from hbqun? 1/60 Two letters picked without replacement from yooygyojvgcovj. Give prob of sequence yc. 3/182 What is prob of sequence etu when three letters picked without replacement from tteezuzletttttleuu? 7/408 Two letters picked without replacement from {g: 15, r: 4}. Give prob of sequence gg. 35/57 What is prob of sequence zr when two letters picked without replacement from urzrqrusuz? 1/15 Calculate prob of sequence zzz when three letters picked without replacement from {z: 4}. 1 Two letters picked without replacement from {c: 1, q: 1, v: 1, p: 3, e: 1}. What is prob of sequence cp? 1/14 Calculate prob of sequence zz when two letters picked without replacement from {z: 4}. 1 Calculate prob of sequence vjjv when four letters picked without replacement from vvmjvjmm. 1/140 Three letters picked without replacement from kkskkskskkss. Give prob of sequence ssk. 7/66 What is prob of sequence cjaj when four letters picked without replacement from jaccjccjjc? 1/84 Calculate prob of sequence dm when two letters picked without replacement from mamammadamo. 1/22 What is prob of sequence ln when two letters picked without replacement from lllnnn? 3/10 Two letters picked without replacement from {p: 5, m: 2, t: 2, w: 8}. Give prob of sequence pw. 5/34 What is prob of sequence oa when two letters picked without replacement from ooboboababoo? 1/11 What is prob of sequence fqfo when four letters picked without replacement from fowozfdfzzfwddzfwqwd? 1/2907 Three letters picked without replacement from zlibfie. Give prob of sequence zfb. 1/210 Calculate prob of sequence flff when four letters picked without replacement from lflfflllllll. 1/220 What is prob of sequence ud when two letters picked without replacement from vvkumdkkumkvdkmukk? 1/51 Four letters picked without replacement from {e: 2, g: 2, d: 1, k: 1}. Give prob of sequence ggek. 1/90 What is prob of sequence bfl when three letters picked without replacement from fbvlk? 1/60 Two letters picked without replacement from vvpvpvvvvvpvpv. What is prob of sequence pp? 6/91 Three letters picked without replacement from meme. What is prob of sequence mme? 1/6 What is prob of sequence bx when two letters picked without replacement from {l: 2, r: 1, x: 1, b: 5}? 5/72 What is prob of sequence vvb when three letters picked without replacement from {b: 2, v: 3}? 1/5 Calculate prob of sequence uk when two letters picked without replacement from {u: 3, g: 2, k: 4}. 1/6 Three letters picked without replacement from ulzaauzuuuallbaazuu. What is prob of sequence zbu? 7/1938 Three letters picked without replacement from weewwwww. Give prob of sequence wwe. 5/28 Calculate prob of sequence nlr when three letters picked without replacement from nkdlrkzddddnk. 1/858 What is prob of sequence loe when three letters picked without replacement from lpolelllllll? 3/440 Three letters picked without replacement from jyhyooxyxyho. What is prob of sequence xjy? 1/165 Calculate prob of sequence arke when four letters picked without replacement from aaaaaaaaaekreraa. 11/10920 Calculate prob of sequence st when two letters picked without replacement from jtatdtttamttttatssts. 33/380 Four letters picked without replacement from vvrvvrrrrrrrrrrrvv. What is prob of sequence rrvr? 11/102 Two letters picked without replacement from eydalye. Give prob of sequence yd. 1/21 Four letters picked without replacement from {p: 6, o: 2, e: 5}. Give prob of sequence ppeo. 5/286 Four letters picked without replacement from {s: 1, i: 6, r: 3, e: 7}. What is prob of sequence isii? 1/476 Two letters picked without replacement from kww. Give prob of sequence ww. 1/3 What is prob of sequence cjjp when four letters picked without replacement from cccccccccpjcjcjcp? 3/1190 Three letters picked without replacement from {u: 2, w: 2, c: 2, i: 2}. What is prob of sequence uiw? 1/42 Three letters picked without replacement from dhdhhdhdhd. Give prob of sequence hdh. 5/36 Two letters picked without replacement from {h: 7, l: 9}. Give prob of sequence lh. 21/80 What is prob of sequence het when three letters picked without replace
{ "pile_set_name": "DM Mathematics" }
pose v = -3*a + z + 17. What is the units digit of a? 9 Let u(v) = -v**3 - 2*v**2 - 2*v + 17. What is the tens digit of u(0)? 1 Suppose -8*i + 86 = -218. What is the tens digit of i? 3 Let g be ((-2)/(-4))/(3/18). Suppose 0 = -5*k + g*f, 0 = 4*k - 5*f + f. Suppose -4*x - x + 10 = k. What is the units digit of x? 2 Suppose 0*q + 4*q - 88 = 0. Let w = -32 + q. What is the units digit of w/4*4/(-5)? 2 Suppose 0*a = -5*c - 3*a + 21, a = 4*c - 10. What is the units digit of c? 3 Suppose 6*m = 2*m + 16. Suppose 0 = -m*i + 20. What is the units digit of i? 5 Suppose -3*u = 2*u. Suppose 9*l - 4*l = 4*g + 560, u = 5*l + g - 560. What is the units digit of (-4)/(-10) + l/20? 6 Let p = 22 - 17. What is the units digit of p? 5 What is the tens digit of (-1 - (-2 - -1)) + 82? 8 Suppose -4*p + 7 = -2*x - 5*p, 4*p = 4. What is the tens digit of x/(-6) + 84/9? 1 Suppose 4*d = 2*d - 2. Let b be 2 + (-2 - -2)/d. What is the units digit of (-1 + 3)*b/4? 1 Let n = 20 - 10. Let a be 0/(-1 + 2) + n. What is the units digit of 5/(a/8) + -2? 2 Suppose t + 0*t - 20 = 0. Let b be (1 - 4)/((-15)/t). Suppose 4*f - b*m = m + 30, m - 2 = 0. What is the units digit of f? 0 Let j be 8 + -10 - -1*1. What is the units digit of (-9)/j + (-7 - -5)? 7 Suppose 3*q + 3*w + 2*w - 1157 = 0, -4*w + 1153 = 3*q. What is the hundreds digit of q? 3 Suppose -6*w = -3*w + 27. What is the units digit of (-4 - -1)/(w/9)? 3 Let u = -49 + 143. What is the units digit of u? 4 Let t = 640 - 445. What is the hundreds digit of t? 1 Suppose -2*g + 20 = 2*g. Suppose -27 = -g*z + 98. What is the tens digit of z? 2 Let o(t) = 2*t + 22. Let d be o(9). Suppose 0 = -2*g - 4*u + d, -5*g + 2*u = -u - 74. What is the tens digit of g? 1 Suppose 2 + 2 = v. Suppose 4 = u - 5*x, 20 = 2*u + 3*u + v*x. What is the units digit of u? 4 Suppose 3*c + 2*c - 25 = 0. Let d(o) = 10*o. Let v be d(1). Let f = v - c. What is the units digit of f? 5 Let t(o) = -o**3 - 3*o**2 - o - 2. Let v be t(-3). Suppose 4*u - 9 = h, -5*h - v + 7 = -3*u. What is the units digit of u? 3 Suppose 8*h = 12*h - 28. Let m = h + -4. What is the units digit of (m + -5)/(2*-1)? 1 What is the units digit of (3/(-1))/((-42)/224)? 6 Let l(k) = k - 4. Let y be l(4). Let p = 0 + y. Suppose m = -5*g + 30, 5*m + p*m + 3*g - 40 = 0. What is the units digit of m? 5 Suppose l - 4*k = 30, -l + k + 90 = 2*l. Let o(g) = -g**3 - 4*g**2 - 5*g - 3. Let i be o(-4). Let a = l - i. What is the tens digit of a? 1 Let b(m) = 13*m**2 + 8*m + 1. Let d(s) = -12*s**2 - 7*s - 1. Let n(z) = -6*b(z) - 7*d(z). What is the units digit of n(-1)? 6 Suppose 2*m - 3*x + 7 = 1, m + 5*x + 16 = 0. Let y = 8 + m. What is the units digit of y? 2 Suppose -2*l = -4 + 2. Let f be -1 - 0 - (-1)/1. What is the units digit of 1 + f + l - -1? 3 Let z = -4 - -10. Let w(f) = -2*f**2 + 7*f + 2. Let h(u) = 3*u**2 - 11*u - 3. Let y(p) = -5*h(p) - 7*w(p). What is the units digit of y(z)? 1 Let h(p) = -3*p - 6. What is the units digit of h(-13)? 3 Let v(s) = -s**2 - 8*s. Let n be v(-8). Suppose -y + n*y + 19 = 0. What is the units digit of y? 9 Let n = 34 + -19. Let f = n + -1. What is the tens digit of f? 1 Let i be 1/(-2) + 12/8. Let h be 38 - i*(1 + -3). Suppose 3*c - 23 = h. What is the tens digit of c? 2 Let u = 65 + -36. What is the units digit of u? 9 Let t = -4 - -4. Suppose 3 = -3*n - t. What is the units digit of 3/(n/4*-6)? 2 Suppose 4*j = -y + 11, -136 = -5*y - 4*j - 17. What is the units digit of y? 7 Let c = -4 - -3. Let w be (-8)/(2/5*c). Suppose 4*p = 5*i - p - 55, w = -5*p. What is the units digit of i? 7 What is the units digit of 1*(2 - 3 - (-81)/3)? 6 Let o be -3 + (-10)/(-2) - 2. Suppose o = 2*l + 39 + 11. Let g = l + 37. What is the tens digit of g? 1 Suppose y = 77 + 128. What is the units digit of y? 5 Suppose 10 = -5*f, 2*u + 0*f = 2*f + 16. Suppose -m + u = 2*m. What is the units digit of 2 + 2*1/m? 3 Suppose -v + m + 14 = -0*m, 3*v = -3*m + 18. What is the tens digit of v? 1 Suppose 2*b - 20 = 10. Suppose 2*i - 3*i = -2*x + b, 4*x = i + 25. What is the units digit of x? 5 Let o(g) = -g**3 - 4*g**2 - 5*g - 4. Let t be o(-3). Suppose t*n + 2*n - 12 = 0. Suppose 11 = 2*l - 3*b - 10, -n*l + 34 = -4*b. What is the units digit of l? 8 Let f be ((-63)/(-12))/7*4. Suppose 0 = -4*i + f*v + 81, 0 = 3*i + i + 3*v - 111. What is the units digit of i? 4 Let y = -12 - -6. What is the units digit of (y/9)/((-4)/54)? 9 Suppose 6*x - x + 5*l - 195 = 0, x - 49 = l. What is the tens digit of x? 4 Let v = -8 + 11. Let b be (-2 + 9/v)/(-1). What is the units digit of b/((-3)/12) + -2? 2 Let u(p) = -p**3 + 7*p**2 - 6*p - 5. What is the units digit of u(5)? 5 Let l be 7 + -5 - 52/2. Let h = 35 + l. What is the tens digit of h? 1 Let c(v) = v**2 + 3*v + 22. Let w(k) = 3*k**2 + 7*k + 45. Let m(y) = 5*c(y) - 2*w(y). Let b be m(0). Suppose 5*i - b = 5. What is the units digit of i? 5 Let u(o) = o**3 - 7*o**2 + 7*o - 4. Let k be u(6). Let j(i) = 3*i - 1. Let p be j(k). Suppose -p*x = -6 + 1. What is the units digit of x? 1 Let d(o) = 3*o - 17. Let n be d(7). Let g(l) = l + 8. What is the units digit of g(n)? 2 Let m = 1 - 0. Let r = m + 2. Suppose 4*y + 5*n - r = 0, 0 = -5*y - 3*n + 1 + 6. What is the units digit of y? 2 Let x(w) = w**3 + 10*w**2 - w + 12. Let s(v) = -10*v. Let m be s(1). What is the tens digit of x(m)? 2 Suppose 56 = -4*b - 0*b. What is the tens digit of 2/3*(-483)/b? 2 Suppose -4*s + w + 19 = -5, 4*s + 5*w = 0. Suppose -4*n - n = -4*u - 9, s*n + 3*u = 37. What is the units digit of n? 5 Suppose -9*f = -5*f - 164. What is the units digit of f? 1 Let d be (-2)/4*-10*17. Suppose -4*o + d = o. Suppose -5*l + o + 13 = 0. What is the units digit of l? 6 Suppose 3*h = -3 + 15. Let f(u) = u**3 - 3*u**2 + 6*u - 4. Let s be f(h). Suppose 4*i + 0 - s = 0. What is the units digit of i? 9 Let c be (-46)/(-10) + (-2)/(-5). Suppose 2*z + 4*r + 28 = 0, 0 = c*z - 4*r + 9 + 5. What is the units digit of ((-4)/z)/(8/12)? 1 Suppose -n - 13 = -2*w - w, -2*n - 14 = -3*w. Let s be (17 - n)*(-5 + 8). Suppose z - 2*t - 5 = 0, -t - s = -5*z - 11. What is the units digit of z? 9 Let h(g) = -3*g - 3. Let i be h(-2). Suppose 2*s = -5*c + 29, c - 2*s = -i*c + 16. Suppose -2*t + 2*m = -10, 15 = 2*t - c*m - 4. What is the units digit of t? 2 Let h = 63 + 8. What is the tens digit of h? 7 Suppose -265 = -16*z + 11*z. What is the units digit of z? 3 Let o = -260 - -369. What is the hundreds digit of o? 1 Let a(n) = 6*n + 3 - 2 - 2. Let t be a(1). Suppose -2*w + 3 = f - t, -5*w + 2*f + 20 = 0. What is the units digit of w? 4 Suppose 3*s = -t + 39, 3*t + 0*t + s = 85. What is the tens digit of t? 2 Suppose -u = -4*i - 126, u = -2*u + i + 323. What is the hundreds digit of u? 1 Let w be ((-12)/(-8))/((-6)/(-8)). Suppose -w*y - 19 = -69. What is the units digit of y? 5 Suppose -2*h - 40 = -128. What is the units digit of h? 4 Let j = -573 - -833. What is the units digit of j? 0 Let w(q) = q**2 - 7*q + 4. What is the units digit of w(10)? 4 Let t = -54 - -94. Suppose 4*v - t = 4*u, -3*v - v + 42 = -2*u. What is the units digit of v? 1 Let t(g) = -g**3 + 3*g**2 - g + 4. Let z(x) = -x**2 + 9*x - 5. Suppose 4*a = -13 + 45. Let w be z(a). What is the units digit of t(w)? 1 Suppose 22 - 202 = -5*s. What is the units digit of s? 6 What is the units digit of (30 - 4)/((-4)/(-8))? 2 Suppose 0 = 4*f + f. Suppose f = -0*v - 2*v. Suppose -y = g - 11 - v, 4*y - g = 29. What is the units digit of y? 8 Let h(s) = -2*s + s - 1 - 4*s + 6*s. Let c be h(-1). What is the units digit of 2/((-8)/c)*12? 6 Suppose 3*v + 0*i - 31 = -5*i, 0 = -5*v - i + 15. Suppose 8 = 4*f + v*h, 0 = f + 3*h - 0*h - 7. What is the units digit of f? 1 Suppose 19*h - 23*h = 12. Let f(r) = -r**3 + 5*r - 4. Let l(m) = -m**3 - m**2 + 4*m - 3. Let i(u) = 2*f(u) - 3*l(u). What is the units digit of i(h)? 7 Let b = -9 - -6. Let g = b - -14. What is the tens digit of g? 1 Let v(y) = -y**3 - 4*y**2 + y - 6. What is the tens digit of v(-6)? 6 Suppose -t - 5 = -34. What is the tens digit of t? 2 Let j = 244 + 3. What is the units digit of j? 7 Suppose -s = 4*p - 40, 3*p - 41 = -s - 11. What is the units digit of p? 0 Let z = 23 - 39. Let o = z - -28. What is the units digit of o? 2 Suppose g = 2*o + 3*o + 28, -5*g + 96 = -3*o. Let q be (g/2 - -2) + -2. Let h = q - 4.
{ "pile_set_name": "DM Mathematics" }
**3 and give k. -1 Rearrange 3*p**2 - 3*p**2 + 0*p**2 - 2*p**2 - 3*p**4 - 1 + 2*p to the form u*p + g + y*p**4 + h*p**2 + d*p**3 and give g. -1 Express -w + 0 + 0 + (-3 - 3 + 3)*(0 + 6*w + 0) as d*w + i and give d. -19 Rearrange 5 - 3 + 0*d - d + (0 + 0 - 2)*(-d + d + d) - 2*d - 5*d + d - 6*d + 2*d + 3*d + (-3*d - d + 3*d)*(2 + 2 - 2) + 0*d + d - 2*d to z*d + a and give a. 2 Express 3*v + 0 + 106*v + 0 in the form s*v + m and give s. 109 Rearrange -2*y**3 - y**3 - 2*y**2 + 10*y**4 - 8*y**4 - 3*y**4 to q*y**3 + n + j*y + i*y**2 + c*y**4 and give q. -3 Rearrange -24 + 4 + 13 - d + 2*d**3 to the form r*d**3 + a + x*d + w*d**2 and give a. -7 Express w - 5*w**2 + 2 - 3*w**3 + 2*w**3 + 0*w**2 + 2*w**3 as m*w**2 + v*w**3 + t + r*w and give r. 1 Rearrange 17*f - 21 + 21*f + 59 - 37*f to the form d + o*f and give d. 38 Rearrange -4*g + g + 4*g + (-2*g + 2 - 2)*((3 - 1 - 1)*(-12 + 55 + 3) + 5 - 1 - 2) to the form j*g + f and give j. -95 Express 6*q + 3*q**2 + 2*q**4 - 9*q - 10*q**2 + 1 as f*q + k + a*q**4 + g*q**3 + n*q**2 and give n. -7 Rearrange -11*f**2 + 3*f**2 - 5*f**2 to k*f + a*f**2 + d and give d. 0 Express -3*p**2 - 3*p**2 + 7*p**2 + (-2*p - 1 + 1)*(-p + 3*p - p) - 6*p**2 + 2*p**2 + 2*p**2 + 7*p**2 + 21 - 21 as o + b*p + m*p**2 and give m. 4 Express 97*r**2 - 2 - 11*r + 5*r - 99*r**2 as k + j*r**2 + y*r and give y. -6 Express (-4 - 2*o + 4)*(-2*o + 0*o - 2*o) + 4*o**2 + 0*o**2 - 3*o**2 + 4 - 12*o**2 - 4 in the form u*o + n + d*o**2 and give d. -3 Rearrange 13 + 3*g**3 - 14 - 4*g**3 + 13*g to the form w*g + p*g**3 + u*g**2 + x and give p. -1 Express -11 + t**2 + 371*t - 371*t + t**3 in the form z*t + h*t**3 + n*t**2 + d and give h. 1 Express 16 + 17*w - 16 in the form f*w + c and give f. 17 Express (-116*q + 43 - 43)*(-4 + 3 + 3) as u*q + y and give u. -232 Express (6*w - 6*w - 13*w)*(1 + 3 - 1)*(-5 + 4 + 0) as n*w + c and give c. 0 Rearrange -2 + 4 + 4*f**2 + 2*f - 4*f**2 - 3*f**4 to a*f + q*f**3 + o + n*f**2 + c*f**4 and give c. -3 Rearrange (-2*l - l + 4*l)*(6*l**2 - 3*l**2 - 4*l**2) - 5*l**3 + 7*l - 9*l - 4*l**3 to the form f*l**2 + p*l + a*l**3 + h and give p. -2 Express (2*x + 3*x - 4*x)*(-2*x + 1 - 1 + 2) - x**2 + 5 - 5 in the form n + m*x + o*x**2 and give o. -3 Express 34 + 33 - 4*u - 72 + u**2 as s*u + x*u**2 + m and give s. -4 Rearrange 5*z**2 - z**2 - 5*z**2 + (3*z - 5*z + z)*(-2*z + 3*z - 2*z) - 4 - 2*z**2 + 4 - 7*z**2 + 9*z - 9*z to r*z**2 + l + b*z and give r. -9 Rearrange (5*n - 9*n - 2*n - 125*n)*(0 - 1 + 2) to p + d*n and give d. -131 Express -3*o**2 - 5*o**2 + 4*o**2 + 2*o**2 in the form d*o**2 + f + b*o and give d. -2 Rearrange -2*r**4 + 7 + 526*r - 528*r + r**2 - 4 to l + c*r**3 + b*r**2 + q*r + o*r**4 and give l. 3 Express 12*u**2 + 0 + 2 + 2 as w + t*u**2 + y*u and give t. 12 Express -199*d**2 + d**3 + 200*d**2 - d**4 - 1 - 2*d**3 in the form f + h*d**3 + r*d**2 + x*d + k*d**4 and give r. 1 Rearrange (2 + 1 - 2)*(3*q**3 - q**3 - q**3)*(-4*q - 3*q - q) to the form y*q**4 + n*q**3 + r*q**2 + j*q + i and give y. -8 Rearrange (-3*s + 7*s - 5*s - 3)*(5*s - 6*s - 4*s**2 + 3*s) to p*s**3 + g*s + b*s**2 + y and give p. 4 Rearrange 3 - 3 + 71*c - 97*c to the form q + p*c and give p. -26 Rearrange 36*o - 17*o + 3*o to the form i + g*o and give g. 22 Express (-2 + 0 + 3)*(-2 + j + 2) + j + j + j + 1 - 1 + 2*j as p + m*j and give m. 6 Rearrange 5*m - 5*m + 2*m + (3 + m - 3)*(2 - 4 + 1) + 26 + 6*m - 26 + (-2 + 2 + 1)*(0*m - m + 3*m) to the form t*m + g and give t. 9 Rearrange (-274 + 157 - 227)*(-4*d**4 + 0*d**4 + 3*d**4) to the form p*d**2 + q*d**4 + u + n*d + v*d**3 and give u. 0 Rearrange (-1 + 4 + 0)*(5*u - 3*u + 5*u) to the form f*u + q and give f. 21 Rearrange -2*w**4 + 4*w**3 + 2*w**2 - 2*w**4 + 8*w**4 - 2*w**4 + 3*w to the form y + n*w + m*w**4 + f*w**2 + q*w**3 and give f. 2 Rearrange 3*y**2 + y**2 + 1 - 1 to p*y + o + n*y**2 and give n. 4 Rearrange (3 + 4 - 4 + (-3 + 1 + 4)*(-1 + 4 - 1))*(4*z - 5 + 5) to a*z + s and give a. 28 Express 13*u**3 - 4*u**2 - 12*u**3 + u**2 - 5 - u**2 in the form l*u + a*u**2 + v*u**3 + g and give a. -4 Express (4 - 3 - 3)*(0*l**2 - 2*l**2 + l**2)*(3*l - 5 - l + 4) in the form j + c*l**3 + w*l**2 + x*l and give c. 4 Rearrange (-3*d**3 + 1 - 1)*(5*d - 6*d - 3*d) - 3*d**4 + 0*d + 0*d to u*d**4 + q + p*d**3 + v*d + r*d**2 and give u. 9 Rearrange -9*f**3 + 0*f**2 + 0 + 3*f + f**2 + f**4 + 6 + 11*f**3 to h*f**2 + z*f + o + j*f**4 + q*f**3 and give j. 1 Express 41*y - 5*y + 0*y + 67*y in the form c*y + v and give c. 103 Rearrange 11*k**2 + 7*k**2 + 0*k**2 + 0*k**2 to m*k + z*k**2 + v and give z. 18 Rearrange (o**2 - 3*o**2 + 3*o**2 + (1 - 1 - 2*o)*(2*o - o - 2*o) - 3*o**2 + 3*o**2 - o**2)*(o - 3*o + 4*o) to c*o + w*o**3 + a + j*o**2 and give w. 4 Rearrange 11*n**2 + 2 + 17*n**2 - 22*n**2 + 0 - 2*n to the form w*n + c*n**2 + m and give c. 6 Express c + 7*c**2 + 9*c + 3*c - 11*c in the form r + l*c + y*c**2 and give l. 2 Rearrange -202*r + 1 - 164*r + 405*r to the form v + b*r and give v. 1 Rearrange (1 + 2*d**2 - 1)*(0 + 0 - 2)*(-2*d - 4*d - 2*d)*(-1 + 0 - 1) to the form t*d**3 + w*d + i*d**2 + q and give t. -64 Express 22*o + 1 + 1 + 53*o - 3 as y + w*o and give w. 75 Express (-p**2 + p**2 - p**2)*(3*p**2 + 3*p**2 - 4*p**2 + (0*p + p - 2*p)*(-2*p - 5*p + 5*p)) as h + g*p + c*p**2 + t*p**3 + i*p**4 and give h. 0 Rearrange (2*r + 1 - 1)*(22*r + 11*r + 10*r) to h + g*r + c*r**2 and give c. 86 Rearrange 6 + 8 - 14 - 8*i to r + z*i and give z. -8 Rearrange 10*m + 12*m - 8*m to the form s + b*m and give b. 14 Rearrange (2*h - h**2 - 2*h)*(-2*h + h + 2*h)*(8*h - 3*h + 4*h) to the form a + s*h + x*h**3 + u*h**4 + w*h**2 and give u. -9 Rearrange (3*k - 2*k - 4*k)*(35*k + 3 - 84*k + 44*k) to y*k**2 + x*k + t and give y. 15 Express (5*b - 3*b + 3*b)*(-12*b + 5*b**3 - 3*b**2 + 2 - 2*b**3 + 13*b) in the form a*b**2 + t*b**3 + k*b**4 + q*b + n and give k. 15 Rearrange (3 + 3 - 4)*(-4*j**2 + j**2 + 4*j**2) + 252 - 3*j - 130 - 4*j**2 - 124 to z + i*j**2 + k*j and give i. -2 Rearrange (24*y - 8*y + 9*y)*(-y**3 - y**3 + 0*y**3) to the form d*y**4 + x*y**2 + f + t*y + g*y**3 and give d. -50 Express (58 - 56 + 0*k + 6*k)*(-5*k + 10*k + 0*k) as p*k + u*k**2 + j and give u. 30 Rearrange l**3 + 3 - 237*l - l**4 + 122*l + 126*l to o*l + z*l**3 + h + c*l**2 + p*l**4 and give o. 11 Express (-2*v - 3*v + 3*v)*(-2*v + 2*v - v) - v**2 - 1 + 1 - 3*v + 2*v**2 + 3*v + (v - v + v)*(4*v + v - 3*v) in the form l*v**2 + a + i*v and give a. 0 Rearrange v - 4 + 4 + (3*v - 2*v - 2*v)*(1 - 4 + 1) + 0*v - 2*v + 0*v - 2*v - 3*v + 0*v to f + j*v and give j. -4 Rearrange q + 0*q - 7*q to c*q + w and give w. 0 Rearrange (3 - 5 - 4)*(-3*q - 5*q + 6*q) to the form i + v*q and give v. 12 Rearrange -33*k**4 - k**2 - 36*k**4 + 2 + 67*k**4 - 19*k + 5*k to s*k**3 + p + c*k**4 + w*k**2 + g*k and give g. -14 Express -12*p - 4*p - 3*p - 6*p as v*p + i and give v. -25 Express -2*p + 3*p + 0*p in the form i + d*p and give d. 1 Rearrange 3*m**3 - 7*m + 17*m - 3*m**3 + 3*m**3 to l*m + f + g*m**3 + y*m**2 and give l. 10 Rearrange (5*z**2 - 4*z**2 - 3*z**2)*(z + 1 - 1) - 3*z**3 + 0*z**3 + 4*z**3 + z**2 - 23*z**3 - z**2 to m*z + f*z**3 + i*z**2 + v and give m. 0 Express l**2 - l**4 - l**3 + 23 - 14 - 2*l - 12 as y*l**4 + z*l**2 + g*l + a + o*l**3 and give z. 1 Rearrange -2*p + 4*p**3 - 11*p**2 - 5*p**3 + 2 - 1 to the form i + y*p**3 + q*p**2 + c*p and give i. 1 Express -22 - 18*m**2 + 22 in the form p*m + c + t*m**2 and give c. 0 Rearrange 6*x - 14*x - 14*x - 2*x to o + u*x and give u. -24 Rearrange 2168 - 106*h - 2168 to g + z*h and give z. -106 Express -2*i + 3 - 3 + (1 - 1 - 1)*(i - 1 + 1) + 2 - i - 2 + 1 + 2*i - 1 + i - 3*i + 3*i + 600 - 600 - 57*i + (1 + 0 - 3)*(-1 + 1 - 2*i) as l*i + h and give l. -54 Rearrange (0*d - d - d)*(d - 4*d + 2*d) - d**2 + 0*d**2 + 2*d**2 + (0 + 2 + 0)*(-d**2 + 2*d - 2*d) to the form j + t*d**2 + p*d and give t. 1 Express (0*t + 0*t - 4*t + (0 + 0 + 1)*(-3*t + t + 0*t))*(-t**3 + 0*t**3 - t**3) as u*t**4 + c*t**2 + m*t**3 + d*t + s and give u. 12 Express -2 - 72*d - 57*d + 156*d in the form z*d + c and give c. -2 Express -28*u**2 + 11*u**2 - 2 + 2*u + 14*u**2 as x*u + a + r*u**2 and give r. -3 Express 38*a**2 - 9*a**2 - 17*a**2 - 11*a**2 + 2*a**3 as n*a**3 + y + x*a**2 + p*a and give x. 1 Express -2*c**2 + 0*c**2 + 20*c**2 in th
{ "pile_set_name": "DM Mathematics" }
2*t - 2 = -3*j for j. 2 Solve 3*b = -5*k + 7*k + 20, -5*b = 5*k + 25 for k. -7 Solve 0 = -o - 5*t - 16, -2*o + 4*t + 17 = -7 for o. 4 Solve -f - 3 = 3*z - 1, 0 = -4*f - 5*z - 15 for f. -5 Solve 0 = -2*y + 4, -4*y - 4 = -5*i - y for i. 2 Solve 4*d + 16 = 5*q, -22*d - 12 = 2*q - 19*d for q. 0 Solve -t + 2*t + 5*d = -9, -4*d - 6 = 2*t for t. 1 Solve 0 = -0*n + 3*n, -n + 5 = -g for g. -5 Solve -5*f = -4*a - 16, -2*f - 2*a + 3 = -7 for f. 4 Solve -w = l - 6, -6*w - 14 = -l - 9*w for l. 2 Solve 0 = -q + 4*b - 4, -5*q - 4*b = -4*q - 4 for q. 0 Solve 0*t + 3*t = -2*y - 2, 0 = -2*t - 2*y + 2 for t. -4 Solve 18*v = 22*v + 2*g + 34, 0 = 4*v + 3*g + 39 for v. -6 Solve -n + 3*n + 2 = j, 5*j - 10 = 3*n for n. 0 Solve -2*j + 10 = 0, -251*g + j - 10 = -256*g for g. 1 Solve -3*w - 10 = 5*a, a + a = -4*w + 10 for a. -5 Solve 2*c + 3 = -k, -3*k - 13 = 7*c - 4 for c. 0 Solve -4*o - 32 = -o - 5*q, 4*o - 5*q + 36 = 0 for o. -4 Solve -q - 25 = -5*m, -2*m + 5 + 23 = -4*q for m. 4 Solve -u + 6 = -2*f, -3*u + f + 2*f = -9 for u. 0 Solve -2*k - b + 1 = 0, -38 + 40 = -3*k - 5*b for k. 1 Solve 4*q + 3*b - 6*b = -3, 3 = -b for q. -3 Solve 5*d + 4 - 7 = n, 2*d + 12 = -4*n for n. -3 Solve -1 = -4*j - 5*f, -4*j - 13 = -3*f - 6 for j. -1 Solve -3*m + 2*x - x - 4 = 0, -m = -x - 2 for m. -3 Solve 2*j + 2*j - 5*a = 30, 2 = -a for j. 5 Solve -29 = -4*c - 3*g, 0 = -8*c + 4*c + g + 17 for c. 5 Solve -4*q + 18 = q + 3*r, -6 = -3*q + 3*r for q. 3 Solve p + 10 = -3*z, z + 4*z + 14 = p for p. -1 Solve 0 = f - 2*x - 3, 0*f - 4*f + 23 = 3*x for f. 5 Solve -4*r - t - 11 = 0, -8*r - 44 = -2*r - 4*t for r. -4 Solve -4*x = -5*x + 4*d - 13, 4*x + 19 = 5*d for x. -1 Solve -3*s = -2*f - 2 - 12, -10 = -5*s for f. -4 Solve 3*k = 3, -17*k + 19*k = -4*d - 22 for d. -6 Solve -2*x + 2*l = 2, -5*x + 3 = -4*x + l for x. 1 Solve -19 = 3*f - 5*h, -3*f + f - 2*h = -14 for f. 2 Solve -3*c - 6 = 3*d, -4*d - 22 = -2*c - c for c. 2 Solve -3*h = 4*x - 15, -2*x = -2*h - 2 + 12 for x. 0 Solve 0 = -3*r + 2*x - 9, r + r = -5*x - 25 for r. -5 Solve -t + 3*l - 8 = 9, 4*t = 3*l - 32 for t. -5 Solve 3*y + 5*q + 16 = 0, -3*q + 2 = -y - 4*q for y. 3 Solve 4*k + 70*z = 71*z + 11, -4*k - z = -21 for k. 4 Solve b - 2*l + 11 = 0, 5*l - 25 = -5 for b. -3 Solve 3*k + 5 = -w, -6*w = -11*w + 4*k - 25 for w. -5 Solve -5*o - 2*w + 8 = 0, -3*o - 5*w - 13 = 5 for o. 4 Solve -c + 1 = 4*f, 0 = -3*f - c + 1 - 0 for f. 0 Solve 0 = -5*p, -2*f - 6 = -5*f - 5*p for f. 2 Solve -4*r + 7 = -3*a, 2*a - 4 = 5*a - r for a. -1 Solve -4*a = 4*q, -396*q + 392*q = -a for a. 0 Solve -d = 5*y + 20, -4*y - d - 9 = 8 for y. -3 Solve 4*l - 13 = u, -5 = -u - 4*l + 6 for u. -1 Solve 5*b - 5 = -c, 0*c = -2*b - 5*c - 21 for b. 2 Solve -105*p + 103*p + 2*v = -6, -2*p = -4*v - 16 for p. -2 Solve -5*v + 10 = 5*s - 25, -v + 13 = 3*s for v. 4 Solve 3*c + 5*m = -16, c + 3*m - 16 = -24 for c. -2 Solve 2*f - 5 = g, 0*g = f + g + 2 for f. 1 Solve 4*q - 15 = r - q, 3*r - 3*q - 3 = 0 for r. 5 Solve -p + 14 = 14*s - 17*s, -3*p - 3 = 0 for s. -5 Solve f = 5*n + 7, 4*f - 4*n = 11 + 1 for f. 2 Solve -14*d - 2*n = -11*d - 14, -3*n + 8 = -2*d for d. 2 Solve -9 = 5*i + v, i - 2*i = v + 5 for i. -1 Solve -s = -4*i - 3*s - 2, 4*i - 8 = -4*s for i. -3 Solve k = -4*b + 18, 4*b - 9 - 11 = -2*k for k. 2 Solve -35 = 10*v - 5*v - 3*l, 0 = -2*v - 5*l + 17 for v. -4 Solve 0 = 3*s - 2*t + 2, -47*s = -42*s - 4*t + 6 for s. 2 Solve -4*g = -5*f + 12, -7*g + 8*g + 4*f - 18 = 0 for g. 2 Solve 0 = -4*i - 102*h + 99*h - 17, 0 = -i - 4*h - 1 for i. -5 Solve -3*y + 24 = -3*c, 9 = -4*y + 2*y - 3*c for y. 3 Solve -13 = 4*j + t, 0 = 5*j - t + 9 - 4 for j. -2 Solve 0 = 3*l + l - 3*b - 22, 0 = -3*l + 3*b + 18 for l. 4 Solve -5*t - 7*n + 6*n + 24 = 0, -15 = -4*t - 5*n for t. 5 Solve -3*x - 3*j = j - 17, -20 = -4*j for x. -1 Solve 2*s + 6 = -q, -6 = 2*q - 0*q + 2*s for q. 0 Solve 2*o = -4*k + 4, -1 = k + o - 0 for k. 3 Solve 15 = 3*s - m, -5*s = -0*m + 2*m - 25 for s. 5 Solve m - 2 = 1, 2*s = -3*m + 19 for s. 5 Solve -4*d - 49 = 5*r, -5*d + 3*r - 40 = -25 for d. -6 Solve -2*y - 12 = -2*q, 2*q + 0*y + 3*y + 3 = 0 for q. 3 Solve 2*i - 6 = 0, 390*i - 393*i = -5*s - 24 for s. -3 Solve 4*q - 4 = 3*y, 0*y - 4*y + 2 = 2*q for y. 0 Solve 3*t - 10 = q, 2*t + 12 = 3*t + 4*q for t. 4 Solve 4*d + 5*r = 25, 3*d + 0*d - 13 = 2*r for d. 5 Solve 0*o = -4*o + 12, 5*v + 2*o - 26 = 0 for v. 4 Solve 4*n = -98*m + 101*m + 18, 2*n = 4*m + 24 for m. -6 Solve 4*p = -2*c + 3*p + 12, 2*c - 16 = -2*p for c. 4 Solve 0 = v + 5*f - 0*f - 18, -5*f = 4*v - 12 for v. -2 Solve 5*t = -3*o + 6, 5*o - 10*t - 10 = -15*t for o. 2 Solve 0 = -2*x + f - 1, -2*x + 520 = -2*f + 518 for x. -2 Solve -5*k - 19 + 8 = 3*s, -4*k = 4*s + 20 for s. -7 Solve 3*x = -5*b + 17, 5*x + b + 13 = 12 for x. -1 Solve -4*l = -4*w + 20, 4*w - 3*l - 20 = -8*l for w. 5 Solve y - 5 = 4*s, -15 = -3*y - 2*s - 2*s for y. 5 Solve -4*x - 31 = -5*o - 2, 24 = 5*o + x for o. 5 Solve 0 = 2*h - 4, 14*g - 10*g = -3*h - 14 for g. -5 Solve -4*o = 3*u - 19, -2*u + u - 19 = -5*o for u. 1 Solve b - 3*b = -u - 3, 3*b = -5*u + 37 for u. 5 Solve 0 = 3*s - 5*s - 3*h - 7, 0 = -s - h - 1 for s. 4 Solve -3*v = -3*h + 18, 0 = h - 5*v + 9*v + 4 for h. 4 Solve -3*g + 2*v = 11, -2*v = g + 2*v - 15 for g. -1 Solve 0 = -2*t + 5*j + 13, -5*j + 3*j - 9 = 3*t for t. -1 Solve -2*u + 7 = r, 0 = r + 2*r - 9 for u. 2 Solve 0 = -b + 4, 9*i - 6*i - b + 1 = 0 for i. 1 Solve -6*k = 4*x - 2*k - 28, 0 = -4*x - 3*k + 24 for x. 3 Solve -218*m + 3*b + 14 = -213*m, -4*m + 28 = 6*b for m. 4 Solve 3*x + 12 = 4*x + 4*i, -4*x = -3*i + 28 for x. -4 Solve 0 = 3*t - 2*j - 19, -t + 3*j = 3*t - 27 for t. 3 Solve 40*j = 4*d + 36*j + 16, -5*d - 3*j - 12 = 0 for d. -3 Solve i - 8 = 3*w + 3, -3*w - 3 = -3*i for w. -5 Solve -5*f = 2*r + 11, 6*r = 2*f + 5*r + 8 for f. -3 Solve 3*y - 11 = 3*p + 7, 14 = -2*p + 3*y for p. -4 Solve -3*m + 2 = -2*a, 3*m = 5*a + 3 - 7 for m. 2 Solve a - 1 = r, r + 3*a - 7*a = 8 for r. -4 Solve 2*h - 5*l = -27, -51*h = -49*h + 2*l + 6 for h. -6 Solve g - 4*j + 25 = 6*g, 3*j = 2*g + 13 for g. 1 Solve 5*w = -5*g, w + 6 - 4 = 0 for g. 2 Solve -2*v + 5*v = -4*h, v = 3*h for h. 0 Solve -7*y = -5*y + 6, -a + 17 = -5*y for a. 2 Solve 3*s + 37 = -5*c, c = 5*s - 10*s - 25 for s. -4 Solve 4*b = -3*w + 32, -5*b = 4*w - 5*w - 21 for b. 5 Solve -3*x + o = 1, -x - 6*o + o = -5 for x. 0 Solve -2*o + m = -m - 8, 2*o - 11 = 5*m for o. 3 Solve -2*q = c - 3*c, -3*q + 2*c = 1 for q. -1 Solve q - 37 = 4*q + 5*d, q - 2*d - 6 = 0 for q. -4 Solve -152 = -3*z + c - 156, -4*z = 4*c for z. -1 Solve 0 = 5*h - 3*t + 27, 4*h + 5*t + 3 = 11 for h. -3 Solve t - 4*c + 24 = 0, 3*t + 5*c + 42 = 55 for t. -4 Solve x - 8*o = -5*o + 3, 4*x - 4*o + 4 = 0 for x. -3 Solve 3*l + 4*g + 10 = 0, 4*l = 5*l + g + 2 for l. 2 Solve 5*o + p - 3 + 0 = 0, 4*o - 6 = -2*p for o. 0 Solve -19*m = -2*r - 20*m - 7, 13 = r - 5*m for r. -2 Solve -q - 4*a = -6, 81*a = 3*q + 84*a for q. -2 Solve 0 = -2*c + 2*a - 2, -14*a - 3 = -c - 15*a for c. 1 Solve -3*f - 4 = f, 4*d - 4*f - 8 = 0 for d. 1 Solve -2*w + 3*r + 19 = 0, -16*w + 13*w - r + 1 = 0 for w. 2 Solve -2*l + 20 = -4*f - l, -3*f - 15 = 3*l for f. -5 Solve x - 17 = 3*c, -4*c - 20 + 9 = x for x. 5 Solve -4*v = -u + 20, -113*v + 20 = 3*u - 115*v for u. 4 Solve 3*z - 7 - 8 = 0, -5*j + 3*z = 40 for j. -5 Solve 2*u = -2*o - 0 + 2, 0 = -u + 4 for o. -3 Solve 0 = 8*g - 6*g + 2*i, -i + 1 = 0 for g. -1 Solve -s = 4*h - 169 + 176, -h + 5*s + 35 = 0 for h. 0 Solve 0 = 4*u - 3*i - 19, -10 = 18*u - 13*u + 3*i for u. 1 Solve 2*x = 7*x + 5*i - 20, -3*x = i - 14 for x. 5 Solve m - 2*k = -10, 2*k + 3 = 11 for m. -2 Solve 0 = -2*y - 4*o - 2, -2*o + 2 = -0*o for y. -3 Solve -5*t - 23 = -d - 6, t + 3*d = 3 for t. -3 Solve 2*y + 0 = 4*o - 22, -5*o - 5*y = -20 for o. 5 Solve -3*x = -12, 4*r - 2*x = 15 - 19 for r. 1 Solve -2*a + 16 = -7*a + 4*h, -8*a - 4 = -4*h for a. 4 Solve -5*p + 5*y = -5, 6*y - 2*y + 16 = 0 for p. -3 Solve -8*r - d + 15 = -4*r, -4*d = -5*r + 3 for r. 3 Solve -5*n = -3*k - 4, -4*n = 2*k - 1 - 11 for n. 2 Solve 3*k = 3*z + 15, 12*k + 24 = -4*z + 17*k for z. -1 Solve -2*z + 26 = 4*t, -9*z - 23 = -4*t - 10*z for t. 5 Solve 4*v + 3*l + 7 = 2, -3*v + 5*l = -18 for v. 1 Solve 5*m = 5*h + 5, 7*m - 6 = h + 5*m for h. 4 Solve -3*f = -w - 11, -4*w = 44*f - 49*f + 16 for f. 4 Solve -93*w - 5*c = -88*w + 30, 5*w + 3 =
{ "pile_set_name": "DM Mathematics" }
f(u) be the second derivative of -u**4/12 + 7*u**3/6 + 3*u**2 + 311*u. Give f(7). 6 Let p(g) = -g**2 + g - 11. Let x be (-8)/36 - -2 - 8/(-36). Let t be 1*(-1 - (6/(-2) + x)). Give p(t). -11 Let v(r) be the second derivative of -14*r**3/3 + r**2 + 165*r. Determine v(1). -26 Let i(g) = 28 - 10*g - 28 - 5*g. Give i(-2). 30 Let l(d) be the third derivative of d**6/120 - d**5/15 - 3*d**4/8 + 2*d**3 - 86*d**2. Give l(5). -8 Suppose 0 = 2*g + 3*o + 13, 5*g - 5*o = 9*g + 25. Let j(h) = -h - 7. Determine j(g). -2 Let d(c) = c**3 + 9*c**2 + 7*c - 15. Let a(b) = -b**3 + b**2 + 6*b - 8. Let h be a(3). Give d(h). -7 Let p(y) = y**2 - 8*y + 3. Let t(u) = u**3 + 2*u**2 - 8*u - 12. Let k be t(-3). Calculate p(k). -12 Let t(v) = -11*v. Let x(s) = s**3 + 4*s**2 - 8*s - 35. Let d be x(-4). Give t(d). 33 Let y = 69 - 68. Let q(x) = -1 - 3*x + 2 - y - 1. Calculate q(1). -4 Let g(u) = -6*u - 88. Let d be g(-14). Let w(m) = -2*m**2 - 6*m. Calculate w(d). -8 Let u(p) = -2*p - 3. Let n be u(-5). Suppose n*h - 20 = 3*h. Let r(o) = o - 3. Let w(q) = q - 4. Let x(d) = -2*r(d) + 3*w(d). Calculate x(h). -1 Let s(q) = -5*q**3 + 3*q**2 - 19*q - 12. Let y(x) = -16*x**3 + 8*x**2 - 62*x - 36. Let d(r) = 13*s(r) - 4*y(r). Calculate d(7). -5 Let w(q) = -5*q**3 + 2*q**2 + q. Let j be 1*((-12)/(-18) + 15/(-9)). What is w(j)? 6 Let m(p) = -5*p**2 - p - 2. Let h(c) = -4*c**2 - 2*c - 3. Let s(o) = 3*h(o) - 4*m(o). Let i(z) = -7*z**2 + z. Let v(j) = -7*i(j) - 6*s(j). Determine v(-4). 2 Let m(q) = q**2 + 2*q - 11. Suppose -4*y = -8*y - 20. Calculate m(y). 4 Let d(b) = 9*b**2 - 3*b**2 - 328 + 327. Determine d(-1). 5 Let b(h) = -h**3 + 19*h**2 - 16*h - 41. Suppose -413*u = -409*u - 72. Calculate b(u). -5 Let y(c) = 3*c**2 + c + 1. Let n(z) = 19*z**2 + 15*z + 7. Let g(v) = -n(v) + 6*y(v). Calculate g(-8). 7 Let w be (26/(-4))/(2/(-4)). Let y(h) = w - 33 + 2*h + 9 + 7. Give y(4). 4 Let h(o) be the first derivative of 28 + 8*o + 4*o**2 - 1/4*o**4 - 5/3*o**3. Give h(-6). -4 Let d(c) be the second derivative of -c**5/20 - c**4/12 + 5*c**3/6 + 2*c**2 + 4*c. Calculate d(-2). -2 Let n be 2/3*(-165)/10. Let u = n + 14. Let b(z) = 2*z + 3. Calculate b(u). 9 Suppose 0 = 4*k - 29 + 33. Let g(q) = -9*q**3 - q**2 - q. Determine g(k). 9 Let x(c) = c**3 - 6*c**2 - c + 8. Let z be (-13)/(-2 + (-15)/(-6)). Let s = 32 + z. Give x(s). 2 Let n(t) = -t**3 - 14*t**2 - 13*t + 2. Let r be n(-13). Let c(o) = -3*o**r - 6*o + 7*o - 10*o**2 + o**2. Give c(-1). -13 Let l(t) be the third derivative of -t**5/15 + t**4/24 + t**3/3 - 4*t**2. Let a be (-4)/(-6) - 7/(-3). Suppose 0 = a*h + h - 8. Calculate l(h). -12 Let i(k) = -6*k - 4 - k**3 + 10*k - 6*k**2 - 9*k. Let f be i(-5). Let g(w) = w**2 + 5*w + 4. Give g(f). 0 Let y be 11/2 + 4/(-8). Suppose y*u - 11 = -j, -u - 2 = -3*u + 2*j. Let k(h) = 5*h - 2*h**2 + 4 + 0*h**2 + 4*h**u. Calculate k(-3). 7 Let n(l) = l**3 + 4*l**2 + 5*l + 7. Let j = 10 + -13. Let d be n(j). Let r(u) = -8*u**2 - 1. Calculate r(d). -9 Let a(m) = -m**2. Let v(k) = -k**2 + k. Let g(y) = 3*a(y) - 4*v(y). Suppose -1081*f = -1103*f + 44. Determine g(f). -4 Let m be ((-21)/49)/((-1)/7)*-1. Let i(b) = 2*b + 3. Determine i(m). -3 Let k(t) be the first derivative of -t**5/60 + t**4/12 - t**3/6 - 15*t**2 + 27. Let j(z) be the second derivative of k(z). Give j(2). -1 Let u(f) = f**2 - 12*f + 9. Suppose 5*h + 2*o - 40 - 6 = 0, -5*h - 5*o = -55. Calculate u(h). -23 Let i be ((-3)/((-6)/80))/2. Suppose -2*o = -5*s, 2*o + 2*o = i. Let g(m) = -7 + 6 + 0*m - 3*m. What is g(s)? -7 Let f = -1514 + 1520. Let i(p) = p - 10. Determine i(f). -4 Suppose 4*t - 26 = -18. Let z(d) = 4*d**t + 0*d**2 - 2 + d - 2*d**2 - 3*d**2. Determine z(2). -4 Let w(n) = -1076 + 11*n**2 + 2143 - 1069. Determine w(2). 42 Let n(a) be the second derivative of -a**5/20 - a**4/2 + 5*a**3/6 - 5*a**2 + 46*a - 1. Suppose -3*k = 2*k - q + 40, -13 = 4*k + 3*q. Determine n(k). 4 Let n(k) = 3*k**2 - 2*k - 13. Let m(p) = 1. Let y(o) = -6*m(o) - n(o). What is y(3)? -14 Let q(j) be the third derivative of -j**4/24 + j**3/3 - 14*j**2. Suppose 0 = c - 0 + 11. Let u = c - -11. Calculate q(u). 2 Suppose -l = 2*n - 5, 0*l = 4*l + 3*n - 25. Let p(i) = -5*i - 4*i**2 + 12*i**2 - i**3 + 76 - 66. Calculate p(l). 24 Let w(a) be the third derivative of -a**5/60 - a**4/4 - 11*a**3/6 - 3*a**2 + 16. Determine w(-8). -27 Let s(c) be the third derivative of c**7/2520 + c**6/240 + c**5/120 - 7*c**4/24 + 22*c**2. Let g(o) be the second derivative of s(o). Give g(-1). -1 Suppose g - 2*s = 3*s + 29, 3*g = 3*s + 27. Let b(f) = -2*f**2 + 4*f + 4. Give b(g). -12 Suppose j - 5*m - 3 = 0, 3*j - 7*m - 35 = -5*m. Suppose j*g = 10 + 3. Let x(r) be the first derivative of 4*r**2 - 1. Calculate x(g). 8 Let t(w) = -3*w + 16. Let h = 488 + -481. Determine t(h). -5 Let f(w) = -14 - 13*w**2 + 4*w**3 - 9*w**3 + 6*w**3 - 2557*w + 2528*w. What is f(15)? 1 Let f(q) = 15*q**2 + 5*q - 7. Suppose k + 63 = -5*c, -23 = c - 9*k + 4*k. Let g(i) = 7*i**2 + 2*i - 3. Let b(a) = c*g(a) + 6*f(a). Determine b(4). -3 Let d(p) = -p**2 + 3*p. Let s be d(4). Suppose 0 = 2*c - 2*j - 3*j - 42, -4*c + 40 = j. Let l(k) = 0*k - 17 + 5 + c + k. Determine l(s). -5 Let s(w) = 2*w + 2. Let l(c) = 31*c + 36. Let b be l(-1). Give s(b). 12 Let v(f) = f**2 + 2*f - 2. Suppose 14*o = 19 - 5. Let k be (o + 5/3)*(-24)/(-32). Calculate v(k). 6 Suppose -69 + 109 = 5*b. Let z(a) = a**2 - 6*a - 9. Determine z(b). 7 Let a be 0/((9 - 6) + (-1 - 3)). Let i(n) = -n**3 + n**2 + n + 8. Give i(a). 8 Let v = 19 - 20. Let r be 0 + v + 12/6. Let d(n) = 65*n**2 - 8*n - 3. Let y(u) = 22*u**2 - 3*u - 1. Let j(q) = 4*d(q) - 11*y(q). Calculate j(r). 18 Let c(a) = 5*a**2 - 13. Let n(b) = b**2 - 2. Let x(i) = c(i) - 6*n(i). Determine x(-1). -2 Let c(q) = -3*q - 19. Let h(n) = -n**3 - 10*n**2 + 58*n + 21. Let g be h(-14). What is c(g)? 2 Let q(z) = -4*z + 4*z - 3*z + z**2 - 3. Let f be q(4). Let p(n) = -131*n + 3. Let u(t) = -47*t + 1. Let k(i) = -4*p(i) + 11*u(i). Determine k(f). 6 Let f(a) = -a - 8. Let l = -986 + 992. Determine f(l). -14 Let p(k) = k + 8. Let n be ((-48)/(-32))/((-6)/(-52)). What is p(n)? 21 Let a(n) = 3*n - 34. Let p(s) = 5*s - 63. Let h(u) = -11*a(u) + 6*p(u). Suppose -5*t - d = 15 + 1, -4*t - 36 = -5*d. Calculate h(t). 8 Suppose -5*t + 9 = -6. Suppose -t*l + 6 = -0*l. Let s(d) = d**2 + 28*d + 2 + 1 - 30*d + 2*d**2. What is s(l)? 11 Let s = 133 + -128. Let t(g) = -3*g + 2. Give t(s). -13 Let z(c) = -c**3 - 6*c**2 - 8*c - 3. Let h(d) = 4*d + 200. Let b be h(-51). Give z(b). -3 Suppose 2*h - 4 = 5*y, h - 10 = -4*h - 4*y. Let s(b) = -22*b**h - b + 21*b**2 + 23 + 0*b. Give s(0). 23 Let d(p) = -4*p. Let v = 11 + -8. Let h be 8/2 - 2 - -2. Suppose h*l + 7 = v. What is d(l)? 4 Let m(q) = 7*q + 31. Let p(v) = 2*v + 11. Let f(h) = 6*m(h) - 17*p(h). Suppose 0 = -0*k - 5*k - 5. Calculate f(k). -9 Let g(s) = 3 - 15*s - 10*s**3 - 10*s**2 + 31*s**3 - 8*s**3 - 14*s**3. Determine g(-8). -5 Suppose -5*x - 10 = -z, x + 4 = -x + 4*z. Let r(c) be the second derivative of -14 - 1/12*c**4 - 1/2*c**3 - c - 1/2*c**2. Give r(x). 1 Let w(v) be the third derivative of -5/6*v**3 - 1/24*v**4 - 8*v**2 + 0*v + 0. Calculate w(-4). -1 Let y(s) = -s - 1. Let l = -20 + 22. Suppose -l*b + 15 = 4*d - 15, -27 = -4*d + b. Let m = 1 - d. Give y(m). 5 Let w(q) = -q + 3. Let v be (3 - (-2 - -20))/(6/(-42)). Let m = v + -102. Calculate w(m). 0 Let a(l) = l - 3. Let u(q) = 2*q - 16. Let c be u(5). Let o be (c/(-12))/(1*(-2)/(-8)). What is a(o)? -1 Let t(j) = -8*j. Let q(v) = 23*v - 1. Let i(f) = 6*q(f) + 17*t(f). Let h(g) = -3*g + 5. Let c(p) = 3*h(p) + 4*i(p). What is c(-6)? -3 Let r(q) = 499*q - 7491. Let s be r(15). Let h(o) be the second derivative of o**5/20 + o**4/2 - o**3/6 + 2*o**2 - o. Calculate h(s). 10 Let k(z) be the second derivative of 7*z**4/12 + z**3/6 - z. Let l(a) = -a**2 + 11*a + 11. Let p be l(11). Suppose 9 = -2*m + p. What is k(m)? 8 Let x(w) = w**3 + 3*w**2 - 2*w - 1. Let v be 3/(-6)*(-5 - 1). Let b be 2/(1/1) - v. Let q be (-2 - (b + 0)) + -1. What is x(q)? 7 Let o(y) = -3*y - 2. Suppose 5*n + 36 = -14. Let i be (4 - (-56)/n)/((-2)/(-5)). Calculate o(i). 10 Let l(t) be the second derivative of -t**3/6 + 4*t**2 + 4711*t. Suppose -30 = -3*y - 3*a, 4*a + 17 = 2*y + 5*a. What is l(y)? 1 Let m(b) = 289 - 591 + 6*b + 276. What is m(5)? 4 Let b(z)
{ "pile_set_name": "DM Mathematics" }
between -160019 and 1.116? 160020.116 What is 235 less than 0.271341? -234.728659 Work out -93 + -74610099. -74610192 What is 58093 less than 61.955? -58031.045 What is 386.90037 take away 0.4? 386.50037 Work out -0.28556 + -52022. -52022.28556 Calculate 50321333 - -12. 50321345 Subtract 0.01878 from -46084. -46084.01878 -0.4901 - 118029 -118029.4901 Sum -9355898835 and -4. -9355898839 Add 3441 and 13576. 17017 What is 0.23 + -35126652? -35126651.77 Work out -5544 - 606.7. -6150.7 What is 17 minus -112984670? 112984687 Put together 9.2 and 379982910. 379982919.2 What is -52244260 minus -1.7? -52244258.3 Work out -157 + 19220. 19063 82.78 + -7726 -7643.22 33890531537+-2 33890531535 What is 4 less than 0.1166567? -3.8833433 What is 5255.31371 minus 0.4? 5254.91371 What is 0.2 plus -10106940? -10106939.8 Total of -1201 and 54380. 53179 Add -0.4366 and -135124. -135124.4366 -3+856584359 856584356 Work out -0.25 + 186.6030652. 186.3530652 Calculate -3 + 3315804. 3315801 Work out -8472191 - 548. -8472739 Add together 63 and -6390232. -6390169 What is -2308162 minus -5691? -2302471 What is the difference between 0.024704 and -2.02? 2.044704 5 + 26842250 26842255 What is 8300 less than -0.113089? -8300.113089 -462.71 - 29.02 -491.73 What is 0.2 - -662.04157? 662.24157 What is 5 take away -845.817? 850.817 Put together 8.23 and -2378473. -2378464.77 What is 260 minus 242417? -242157 Sum 7015342 and -2. 7015340 Subtract 219807.81 from 521. -219286.81 -0.2 + 264174628 264174627.8 Calculate 304 + -1.144. 302.856 What is 265 take away 212.8541? 52.1459 16891511+-0.42 16891510.58 What is the distance between 4 and -1082711.0041? 1082715.0041 What is -17002.7 take away -3.43? -16999.27 What is -0.84 take away 650202? -650202.84 Sum 0.14 and -0.993. -0.853 Subtract 0.3 from -74.8995628. -75.1995628 What is 4483 + -14.831? 4468.169 What is the difference between 104481188 and -0.18? 104481188.18 What is the distance between 5 and -0.1161157? 5.1161157 Calculate -0.11 - 35614221. -35614221.11 Add 1277.273059 and 3.2. 1280.473059 What is the distance between -24 and -11069994? 11069970 Calculate 2466.387 + 197. 2663.387 What is 8944699 + 558? 8945257 What is the difference between -39846697 and -3? 39846694 Add 3177497 and 1. 3177498 44429.4 + 1189 45618.4 Sum -0.1 and 30204961584. 30204961583.9 -0.69246 - 0.65 -1.34246 Add -9023 and 27713. 18690 What is 1.3067927 less than 0.1? -1.2067927 What is 70 plus 7548.24035? 7618.24035 What is -0.4 plus -11907396508? -11907396508.4 What is -107.58 - -438? 330.42 What is 1 + 243013675? 243013676 3.502 + -0.77433 2.72767 -27 - -25338888 25338861 Put together 1606.3 and 2028619. 2030225.3 What is 10383474347 minus 1? 10383474346 -0.1 - 0.30006333 -0.40006333 385 + 173433 173818 Total of -1542675 and -1469. -1544144 What is -261330363 minus -8.3? -261330354.7 What is -34910694790 plus 0.4? -34910694789.6 Work out 0.279 - -2537. 2537.279 Subtract 8 from 3193930. 3193922 Work out 98146 + -0.37245. 98145.62755 What is -47 - -0.0640939724? -46.9359060276 Add 1.15445 and -28994. -28992.84555 What is 22.0096 plus 561? 583.0096 Work out 8044.4 + -0.3643. 8044.0357 What is 645078.7988 plus -0.1? 645078.6988 What is -8208 minus 3263? -11471 What is -0.10240319654 minus -0.1? -0.00240319654 Total of 7525 and -1955171. -1947646 Add 3.552 and -49488. -49484.448 -0.5 + -4601.2612 -4601.7612 Put together -0.07105221527 and 0.1. 0.02894778473 Calculate -916 - -1650. 734 Calculate 797690.3 + 0.5. 797690.8 What is 0.02925 - 25903? -25902.97075 Subtract 452 from -2614266. -2614718 Subtract 413624.547 from -4. -413628.547 What is -420.0637 - -1.34? -418.7237 What is 10849 + 22.7? 10871.7 Total of -1906470 and -1.737. -1906471.737 What is the distance between -94036.3 and -41? 93995.3 What is the difference between 2.72 and 71568? 71565.28 -68603 - 1825.9 -70428.9 Calculate 0.7 - -352149.3. 352150 Calculate -1 + 88042.68013. 88041.68013 What is 6546 - 102692? -96146 Work out -15754617 + 0.112. -15754616.888 Add 123874 and -0.051305. 123873.948695 Add -12.894 and 670032. 670019.106 -116 + 1217.3 1101.3 What is the distance between -0.05 and 2614679? 2614679.05 Sum 324.06 and 149.8. 473.86 Add together 0.015 and -191880637. -191880636.985 Put together 21095.9 and 1637. 22732.9 What is -14 + 490718597? 490718583 What is the distance between -3683.383045 and 0.4? 3683.783045 -19.5+121767 121747.5 -45224302+3 -45224299 Add -2213937677 and -0.3. -2213937677.3 -2.6245369744+0 -2.6245369744 What is the difference between 27742258 and -0.3? 27742258.3 168832636792 - -0.3 168832636792.3 What is -209049487206 plus 0.3? -209049487205.7 What is the difference between 1275 and 2998809? 2997534 What is -25981 - 31530? -57511 Add 14.77394 and -8803. -8788.22606 What is -2157 + -4897? -7054 Total of 405956 and 0.00107. 405956.00107 Add together 0.2 and 283005.944. 283006.144 Calculate 121110 - 3.74. 121106.26 What is 161287.854 minus 0.2? 161287.654 What is 2 + 2.285434519? 4.285434519 Calculate -74799 + 8315. -66484 -14 - 699377 -699391 Add -0.3 and 802649. 802648.7 Work out -0.16656 + 0.943285. 0.776725 -5370503 - -1344 -5369159 Total of 43174 and 0.213. 43174.213 Calculate -0.4 - -24016.593. 24016.193 What is -35123211 minus 0.01? -35123211.01 What is -2323572620 less than 2? 2323572622 Sum -0.508351383 and 5. 4.491648617 What is 2 - 226766.46131? -226764.46131 What is -6 take away 1443.7061? -1449.7061 Work out 0.6717567039 + -0.2. 0.4717567039 What is -20.6 - 10814? -10834.6 What is -51 plus 8899.4? 8848.4 214+-23.9289128 190.0710872 0.04+-43950021 -43950020.96 Work out -1.8859 - -0.192288. -1.693612 Add together -1.6 and 1645832. 1645830.4 Work out -49 - -102.70719. 53.70719 Total of -0.108497 and -702. -702.108497 Work out 1.05511 - 314784. -314782.94489 Total of 1085389741 and 0.4. 1085389741.4 Add -22.8 and 2.0333. -20.7667 Total of 1048079 and 44. 1048123 Calculate 0.01 + -3.13028884. -3.12028884 What is -0.038101859 plus -3? -3.038101859 What is 479 take away -351329? 351808 Put together -5771.82 and 9.67. -5762.15 Calculate -2160554692 - 0. -2160554692 Subtract -70839 from -342. 70497 Work out -4686.8 - 1.88. -4688.68 What is 3224 + -0.0364345? 3223.9635655 0.0796 - 20.047 -19.9674 What is -4 minus -94514414? 94514410 What is 182.651021 less than 0.08? -182.571021 Subtract -70 from -111842556. -111842486 What is -3958.743821 - 0? -3958.743821 What is -26 take away 442992361? -442992387 Work out -1682717.4 + -124. -1682841.4 Work out 142 - 279.638. -137.638 Work out -23170.8 + 845. -22325.8 What is 63318 take away 461743? -398425 What is the distance between -103.0971 and 204? 307.0971 What is the distance between 168742 and 0.25? 168741.75 Calculate -1166.04 + 0.531. -1165.509 -1352 + 0.37254 -1351.62746 Sum -2 and 3955805626. 3955805624 Work out 0.2 - -18584.83981. 18585.03981 Work out -320447142 - -2. -320447140 What is -1479 minus 5283? -6762 What is the difference between -82.587 and 198465? 198547.587 Work out -5211191 - 0.024. -5211191.024 What is 119 + -1.82266? 117.17734 Add together 0.4 and 6307343. 6307343.4 -17 - 15023066 -15023083 What is 55470 - 0.336437? 55469.663563 Total of -1.5 and 162101706. 162101704.5 Total of -0.11300903 and -1.3. -1.41300903 Calculate 63865573 + 0.2. 63865573.2 Total of -4 and -1023389049. -1023389053 What is 90628 less than -124? -90752 Work out 17649715 - -98. 17649813 0.031175 - -23404 23404.031175 Total of -91394286 and 0.3. -91394285.7 Put together -0.4 and -1001237.5. -1001237.9 Work out 0.017 + 146091. 146091.017 What is 2218 less than 602785? 600567 What is -0.1 - 59029901? -59029901.1 What is -4 - 94625026? -94625030 What is 11553702 + -481? 11553221 -5004513 + -37 -5004550 What is 0.008330883 less than 5? 4.991669117 -8899 + 0.0209 -8898.9791 What is -0.6 plus 204.531? 203.931 What is the difference between 1.6576246 and 170? 168.3423754 Put together 1440 and -7201118. -7199678 959 - 0.549967 958.450033 Add -505420 and 204. -505216 What is -0.5 plus -5.317847? -5.817847 Sum -309752 and 0.194. -309751.806 Work out -5.286 + -0.0843628. -5.3703628 0.1221 - 0.194698 -0.072598 -3867663461+-2 -3867663463 Add together -12601 and -1089. -13690 What is 0.737 - -0.679265? 1.416265 What is 2.5097 less than
{ "pile_set_name": "DM Mathematics" }
when m is divided by 36? 33 Let v be 2/(-8) + (-2961)/(-36) + -3. Suppose -a + v = 3*d, -3*a - 108 = -4*d - 5*a. What is the remainder when 71 is divided by d? 21 Suppose -2*l - 3*l + 205 = 0. Suppose -l = -3*t - 2*y, t - 48 = -3*t - y. Let a(p) = -p**2 + 13*p + 18. What is the remainder when a(12) is divided by t? 8 Suppose 3*y - 2*k = 82, -48*y = -49*y - 2*k - 2. Suppose -2*c + 14 = -0*c - w, w = c - 7. Calculate the remainder when y is divided by c. 6 Let x(d) = -2*d**3 + d**2 + d + 11. Let j(y) = -y**2 + 31*y - 74. What is the remainder when j(21) is divided by x(-3)? 65 Let j(p) = 3*p + 100. Let t be j(-9). Let z = -41 + t. What is the remainder when (1 + (-177)/(-9))*3 is divided by z? 30 Calculate the remainder when (943 - 0) + ((-10)/(-35))/((-23)/483) is divided by 135. 127 Suppose -52 = -4*q - 3*p, 8*q - 2*p + 39 = 11*q. What is the remainder when 371 is divided by q? 7 Let x(m) = m**3 - 9*m**2 + 23*m - 26. Let z = -435 + 441. What is the remainder when 70 is divided by x(z)? 2 Suppose -46*o + 81 = -43*o + 5*x, 55 = 2*o + 3*x. What is the remainder when o is divided by 18? 14 Let t(h) = 63*h - 49. Let w be t(7). Let s = w - 233. Suppose 4*x - 50 - 78 = 0. Calculate the remainder when s is divided by x. 31 Let i(r) = -6*r + 169. Let p be ((-1)/(-3))/(4/(-24)). Calculate the remainder when 1*p*(-57)/6 is divided by i(27). 5 Let q(d) = 2*d**3 + 92*d**2 - 12*d - 533. What is the remainder when 2903 is divided by q(-46)? 15 Let q be (-22)/4 - (-1)/(-2). Suppose -8*c = -6*c - 38. What is the remainder when 535/15 + 4/q is divided by c? 16 Let w = 12000 - 2633. Calculate the remainder when w is divided by 10. 7 Suppose 0 = -5*g + h + 6, -5*g + g = -4*h + 8. Let a(n) = 22*n + n**2 - 2*n + g*n - 20 + n**2. What is the remainder when a(-13) is divided by 19? 13 Suppose 239*a - 234*a - 10736 = -4*q, 8556 = 4*a - 5*q. Calculate the remainder when a is divided by 27. 11 Let j(i) = 6*i**2 + 38*i - 158. What is the remainder when j(-31) is divided by 13? 10 Suppose 27*q - 16*q = -858. What is the remainder when -133*(q/(-21) + -4) is divided by 14? 10 Suppose -4*n + 4*q = -150 - 74, 0 = n + q - 50. Suppose 2*m - n - 45 = 0. Calculate the remainder when m is divided by 9. 4 Let w(k) = -2*k**3 - 3*k**2 + 3*k - 3. Let h(j) = -j**3 - 114*j**2 - 138*j - 2800. Calculate the remainder when h(-113) is divided by w(-3). 10 What is the remainder when 371 is divided by (7 - (-1 + 397)/2)/(-1)? 180 What is the remainder when ((-306)/765)/((2 + -1)/(-5210)) is divided by 29? 25 Let k(v) = -19*v**3 - 4*v**2 - 2*v + 13. Calculate the remainder when k(-2) is divided by 56. 41 Let n = -14 + 18. Suppose 4*s - 5*s = 1, n*d + 4*s = 592. Suppose 0 = -3*p + 4 + d. What is the remainder when p is divided by 14? 9 Suppose 5*h + 59 = 74. Let z(u) = u + 3. Let c be z(3). What is the remainder when 23 is divided by (-3)/(-12)*c*8/h? 3 Let z = 29 + 66. Suppose 16*h = 225 + 95. What is the remainder when z is divided by (h + -22)/(1/(-7))? 11 Let m(y) = -4*y**3 - 48*y**2 + 21*y + 298. What is the remainder when m(-12) is divided by 12? 10 Let j(v) = -v**3 + 10*v**2 - 85*v + 470. What is the remainder when 1344 is divided by j(6)? 96 Let v = 841 + -841. Suppose -5*f + 745 = 5*g, -3*g + f + 306 + 125 = v. What is the remainder when g is divided by 38? 31 Suppose -75 = -10*r - 5*r. What is the remainder when (284/(-5))/((-2)/r) is divided by 36? 34 Let f be 350/15 - (-2)/3. Suppose f + 9 = 3*j. Let q(a) = 5*a**2 - 53*a - 17. Calculate the remainder when j is divided by q(11). 1 Let z be (((-2)/(-6))/(22/132))/(-2)*-11. Suppose 3*s - 2*s = 2. Suppose -48 = -5*g - s*a, g = -4*a + z + 13. Calculate the remainder when 22 is divided by g. 6 Suppose -4*t = -t + 4*t. Suppose -5*h - 4*q + 325 = t, 0 = -q + 3*q - 10. Calculate the remainder when h is divided by 37. 24 Let i = -535 + 616. Suppose -119*z + 2*b = -121*z + 166, z - i = b. Calculate the remainder when z is divided by ((-58)/(-8))/((-2)/(-8)). 24 Let f be ((-2)/(-6))/(19/5073). Suppose -80*q + f*q = 504. Calculate the remainder when q is divided by 410/14 + 6/(-21). 27 Let g = 45725 + -45141. What is the remainder when g is divided by 208? 168 Suppose 14*x - 11*x - 318 = 0. Suppose x = 25*o - 1794. What is the remainder when 375 is divided by o? 71 Let j = -880 + 488. Let f = -371 - j. Calculate the remainder when 371 is divided by f. 14 Let v(a) be the third derivative of a**6/120 - a**5/30 + a**4/24 - 19*a**3/6 + 3*a**2 - 12*a. Calculate the remainder when 65 is divided by v(4). 14 Suppose -15*j - 15 = -20*j. Suppose -3*t + 27 = -j. Suppose m + 4*m - 45 = -5*x, 0 = 5*x - t. What is the remainder when 18 is divided by m? 4 Suppose 5*v - 171 = 13276*c - 13279*c, c + 3*v = 49. What is the remainder when 462 is divided by c? 60 Let z = 1352 - 2222. What is the remainder when z/(-8) + 2/8 is divided by 16? 13 Suppose 127*j = 131*j - 3*c - 1122, 4*c + 1403 = 5*j. Calculate the remainder when 1096 is divided by j. 259 Calculate the remainder when 2886 + 11 - (12/(-3) + 8) - 7 is divided by 107. 104 Suppose 105*j = 9*j + 1824. Calculate the remainder when j is divided by 9. 1 Let x = 3732 - 2819. Calculate the remainder when x is divided by 21. 10 Let b = 24685 + -24106. Calculate the remainder when b is divided by 2. 1 Let y be -3 + (0 + -6)*-1. Suppose -3*a - 18 = -6*a + y*l, 5*a - 28 = 4*l. Let k(t) = 165*t - 156. What is the remainder when k(1) is divided by a? 1 Suppose -5*j - u = -6, -2*j + 2*u = -3*j + 3. Suppose g - 3 = 0, -174*g = m - 179*g + 10. Calculate the remainder when 117 is divided by m*j/10*(-60)/(-2). 12 Let p be -4 + 8 + 1/1 - -250. What is the remainder when 200 is divided by p/20*48/9? 64 Suppose 3*w = -9, -5*g - 4*w + 70 = -33. Suppose 4*a - g - 138 = 5*u, u + 129 = 3*a. What is the remainder when 127 is divided by a? 39 Suppose n - 334 = 135. What is the remainder when n is divided by 40? 29 Let a = 24 - 13. What is the remainder when a is divided by 17*(-26)/(-3315) + 28/15? 1 Let r = 33477 - 33427. Calculate the remainder when (12/(-15))/(4/(-690)) is divided by r. 38 Suppose 8*g = 10*g - 206. Suppose -g - 385 = -8*v. What is the remainder when v is divided by 16? 13 Suppose 0 = -9*s - 170 + 6254. Calculate the remainder when s is divided by 171. 163 Let p(a) be the third derivative of a**4/12 + 25*a**3/6 - 42*a**2. Calculate the remainder when p(-2) is divided by 6. 3 Let r be (0/(1 + -2))/1. Let y be ((-44)/(-396))/(2/90). Suppose 5*a + 3*z - z = 25, -y*z + 25 = r. What is the remainder when 7 is divided by a? 1 Suppose w + 5*f + 332 = 1054, 4*f = w - 713. Let z(j) = -1612*j + 8132. Calculate the remainder when w is divided by z(5). 69 Suppose -4*t + 30 = 2*k, 112*k - 127*k + 312 = t. What is the remainder when 2560 is divided by k? 19 Let f = -86 - -113. Let l = f - 12. Calculate the remainder when l is divided by 11. 4 Let b = 21 - 23. Let r(n) be the first derivative of -9*n**4/4 + 4*n**3/3 + 5*n**2/2 + n + 25. What is the remainder when r(b) is divided by 21? 16 Calculate the remainder when -1 + (198 - 0 - 0) is divided by (-30 - -19)*(-156)/52. 32 Let i = 18 - -17. Let q = -35 + i. Suppose 2*t - 5*l - 41 = q, 5*l = t - 11 - 17. What is the remainder when t is divided by 10? 3 Let y = -11917 - -12107. What is the remainder when y is divided by 87? 16 Let w be (12/9)/(12/18). Suppose -3*q + 7 = 1, w*q - 56 = -4*a. Let j = a + 38. Calculate the remainder when j is divided by 13. 12 Suppose 5*n = -4*y - 31, 2*n + 17 = -5*y - 9. Let f(p) = 0 + 9 + 4*p**2 + 0*p**2 + p**3 - 2*p. What is the remainder when 67 is divided by f(y)? 16 Suppose 0 = -39*j + 24405 + 12095 + 6478. What is the remainder when j is divided by 164? 118 Let k be (-18)/8*(-20)/(-1). Let i be (-30)/(((-80)/k)/(-8)). Suppose 156 = 3*l - i. Calculate the remainder when l is divided by 25. 22 Let i(r) = -124 + 253 + 2*r - 146. Let b = 26 - 14. What is the remainder when 12 is divided by i(b)? 5 Let g(p) = -3*p - 17. Let z be g(-5). Let y = z + 11. Let n(f) = 7*f - 13. Calculate the remainder when n(8) is divided by y. 7 Calculate the remainder when 205 is divided by (-54984)/(-870) - (-3)/(-15)*1. 16 Calculate the remainder when 2081 is divided by -3 + 62 - (-6)/(-4)*(-8)/(-4). 9 Let d = -58 - -88. Let h be (3/6*0)/(-1). Suppose h = -5*m
{ "pile_set_name": "DM Mathematics" }
the y'th term of -7593, -15320, -23047? -7727*y + 134 What is the o'th term of -362, -1374, -3030, -5330, -8274, -11862, -16094? -322*o**2 - 46*o + 6 What is the k'th term of -4391541, -8783082, -13174623, -17566164, -21957705, -26349246? -4391541*k What is the w'th term of -62, -152, -280, -446, -650, -892, -1172? -19*w**2 - 33*w - 10 What is the p'th term of -133209, -532849, -1198907, -2131377, -3330253, -4795529, -6527199? p**3 - 133215*p**2 - 2*p + 7 What is the l'th term of 9477, 18961, 28445, 37929, 47413, 56897? 9484*l - 7 What is the j'th term of 450, 559, 658, 741, 802? -j**3 + j**2 + 113*j + 337 What is the k'th term of 14927, 14926, 14923, 14918, 14911, 14902? -k**2 + 2*k + 14926 What is the q'th term of 2768185, 2768176, 2768155, 2768116, 2768053, 2767960, 2767831, 2767660? -q**3 - 2*q + 2768188 What is the a'th term of -97, -22, 103, 278, 503, 778, 1103? 25*a**2 - 122 What is the m'th term of -95, -174, -253, -332? -79*m - 16 What is the j'th term of -36930, -73858, -110784, -147708, -184630, -221550, -258468? j**2 - 36931*j What is the v'th term of -19026, -19014, -18998, -18978, -18954, -18926, -18894? 2*v**2 + 6*v - 19034 What is the a'th term of -1016, -1049, -1082, -1115? -33*a - 983 What is the l'th term of 10292, 20593, 30898, 41207, 51520, 61837? 2*l**2 + 10295*l - 5 What is the w'th term of 14305, 14259, 14217, 14179, 14145, 14115? 2*w**2 - 52*w + 14355 What is the f'th term of -161, -479, -959, -1601, -2405, -3371? -81*f**2 - 75*f - 5 What is the v'th term of -1320, -3260, -6508, -11076, -16976, -24220? -2*v**3 - 642*v**2 - 676 What is the h'th term of -2353, -4621, -6745, -8653, -10273, -11533? 12*h**3 - 2352*h - 13 What is the u'th term of 3393, 6788, 10189, 13596, 17009, 20428, 23853? 3*u**2 + 3386*u + 4 What is the w'th term of -226615, -453222, -679829, -906436, -1133043, -1359650? -226607*w - 8 What is the p'th term of 76, 335, 1022, 2347, 4520, 7751, 12250, 18227? 35*p**3 + 4*p**2 + 2*p + 35 What is the x'th term of -1172, -4815, -10924, -19499, -30540, -44047, -60020? -1233*x**2 + 56*x + 5 What is the v'th term of -37, -460, -1623, -3880, -7585, -13092, -20755? -59*v**3 - 16*v**2 + 38*v What is the j'th term of -48, -57, -80, -129, -216, -353, -552? -2*j**3 + 5*j**2 - 10*j - 41 What is the u'th term of 84, 70, 72, 102, 172? 2*u**3 - 4*u**2 - 16*u + 102 What is the h'th term of 29737, 59478, 89195, 118876, 148509, 178082, 207583? -2*h**3 + 29755*h - 16 What is the h'th term of -30644, -30669, -30694, -30719, -30744? -25*h - 30619 What is the c'th term of 871, 1424, 1965, 2488, 2987, 3456? -c**3 + 560*c + 312 What is the v'th term of -1258, -1556, -1852, -2146, -2438, -2728, -3016? v**2 - 301*v - 958 What is the b'th term of -1867, -3732, -5597, -7462? -1865*b - 2 What is the i'th term of 279425, 279433, 279451, 279485, 279541, 279625, 279743? i**3 - i**2 + 4*i + 279421 What is the o'th term of 10729, 42915, 96551, 171631, 268149, 386099, 525475? -o**3 + 10731*o**2 - 1 What is the t'th term of 452, 442, 386, 254, 16, -358, -898? -5*t**3 + 7*t**2 + 4*t + 446 What is the n'th term of 3758, 3796, 3834, 3872? 38*n + 3720 What is the c'th term of -21840, -43681, -65522, -87363? -21841*c + 1 What is the z'th term of -6126838, -6126840, -6126842? -2*z - 6126836 What is the z'th term of 446, 1758, 3938, 6986? 434*z**2 + 10*z + 2 What is the j'th term of -1231, -2461, -3677, -4873, -6043, -7181? j**3 + j**2 - 1240*j + 7 What is the z'th term of 5960, 23873, 53736, 95555, 149336? z**3 + 5969*z**2 - z - 9 What is the g'th term of -99, -460, -1077, -1956, -3103, -4524, -6225? -g**3 - 122*g**2 + 12*g + 12 What is the x'th term of 16, -58, -164, -290, -424, -554, -668? 2*x**3 - 28*x**2 - 4*x + 46 What is the j'th term of 91, 137, 157, 139, 71, -59, -263? -2*j**3 - j**2 + 63*j + 31 What is the b'th term of 1171, 1148, 1125, 1108, 1103, 1116, 1153? b**3 - 6*b**2 - 12*b + 1188 What is the i'th term of 149925, 149929, 149935, 149943, 149953, 149965? i**2 + i + 149923 What is the y'th term of 397, 390, 383, 376, 369? -7*y + 404 What is the s'th term of 3409, 6778, 10121, 13438, 16729? -13*s**2 + 3408*s + 14 What is the t'th term of 2830, 2827, 2822, 2815, 2806? -t**2 + 2831 What is the n'th term of 44, 345, 1116, 2579, 4956? 37*n**3 + 13*n**2 + 3*n - 9 What is the u'th term of 555, 1144, 1733? 589*u - 34 What is the u'th term of -1833, -3278, -4731, -6198, -7685, -9198, -10743? -u**3 + 2*u**2 - 1444*u - 390 What is the u'th term of -1314, -2623, -3932, -5241, -6550? -1309*u - 5 What is the m'th term of -144, -167, -192, -225, -272, -339? -m**3 + 5*m**2 - 31*m - 117 What is the z'th term of -36859, -147420, -331689, -589666, -921351? -36854*z**2 + z - 6 What is the q'th term of -9, 29, 143, 375, 767? 7*q**3 - 4*q**2 + q - 13 What is the v'th term of -1532, -1524, -1518, -1514, -1512, -1512, -1514? -v**2 + 11*v - 1542 What is the m'th term of -1917, -3891, -5927, -8031, -10209, -12467, -14811, -17247? -m**3 - 25*m**2 - 1892*m + 1 What is the f'th term of -2975, -3409, -4143, -5183, -6535, -8205? -f**3 - 144*f**2 + 5*f - 2835 What is the l'th term of 3070, 2978, 2812, 2566, 2234, 1810, 1288, 662? -l**3 - 31*l**2 + 8*l + 3094 What is the k'th term of -78, -435, -1030, -1863, -2934, -4243, -5790? -119*k**2 + 41 What is the t'th term of -1187, -1177, -1167? 10*t - 1197 What is the g'th term of 48882, 97762, 146642? 48880*g + 2 What is the f'th term of -16734, -16932, -17120, -17292, -17442, -17564, -17652? f**3 - f**2 - 202*f - 16532 What is the s'th term of -193, -560, -1165, -2008, -3089? -119*s**2 - 10*s - 64 What is the o'th term of -44096, -44091, -44074, -44039, -43980, -43891, -43766, -43599? o**3 - 2*o - 44095 What is the b'th term of -868, -3395, -7606, -13501, -21080? -842*b**2 - b - 25 What is the x'th term of 143, 317, 475, 611, 719, 793, 827? -x**3 - 2*x**2 + 187*x - 41 What is the k'th term of -1722, -3431, -5140, -6849, -8558, -10267? -1709*k - 13 What is the f'th term of 144, 625, 1430, 2553, 3988, 5729, 7770, 10105? -f**3 + 168*f**2 - 16*f - 7 What is the m'th term of -1428, -2040, -2640, -3222, -3780, -4308? m**3 - 619*m - 810 What is the t'th term of -483, -1853, -4107, -7245, -11267, -16173? -442*t**2 - 44*t + 3 What is the t'th term of -245, -995, -2247, -4001, -6257? -251*t**2 + 3*t + 3 What is the y'th term of 6407, 6091, 5775, 5459? -316*y + 6723 What is the t'th term of 1645, 6801, 15471, 27661, 43377? t**3 + 1751*t**2 - 104*t - 3 What is the s'th term of 613, 599, 587, 577, 569? s**2 - 17*s + 629 What is the a'th term of -70201, -140401, -210601? -70200*a - 1 What is the n'th term of -84012, -167995, -251976, -335955, -419932, -503907, -587880? n**2 - 83986*n - 27 What is the i'th term of -2003, -4017, -6035, -8057, -10083, -12113? -2*i**2 - 2008*i + 7 What is the c'th term of 1876, 2683, 3490, 4297, 5104? 807*c + 1069 What is the n'th term of -12397, -12388, -12379, -12370, -12361, -12352? 9*n - 12406 What is the g'th term of 264623, 264635, 264647, 264659, 264671? 12*g + 264611 What is the i'th term of 33189, 66385, 99589, 132801, 166021, 199249, 232485? 4*i**2 + 33184*i + 1 What is the g'th term of 338, 771, 1302, 1931, 2658, 3483? 49*g**2 + 286*g + 3 What is the i'th term of -31, -19, 25, 101, 209? 16*i**2 - 36*i - 11 What is the q'th term of 6490, 6487, 6482, 6475, 6466, 6455? -q**2 + 6491 What is the l'th term of 52117, 52122, 52125, 52126, 52125, 52122? -l**2 + 8*l + 52110 What is the d'th term of -629, -2469, -5517, -9773, -15237, -21909, -29789? -604*d**2 - 28*d + 3 What is the z'th term of 1330251, 2660502, 3990753, 5321004, 6651255, 7981506? 1330251*z What is the c'th term of -145, -169, -177, -163, -121, -45, 71? c**3 + 2*c**2 - 37*c - 111 What is the n'th term of -230230, -230232, -230234, -230236, -230238? -2*n - 230228 What is the r'th term of 39874, 79744, 119614, 159484, 199354? 39870*r + 4 What is the x'th term of 3183, 6389, 9615, 12855, 16103, 19353, 22599? -x**3 + 16*x**2 + 3165*x + 3 What is the o'th term of 48, 49, 24, -33, -128, -267, -456? -o**3 - 7*o**2 + 29*o + 27 What is the l'th term of -76, -121, -142, -139, -112, -61, 14? 12*l**2 - 81*l - 7 What is the i'th term of -118412, -118394, -118376? 18*i - 118430 What is the z'th term of -43142, -86276, -129410, -172544? -43134*z - 8
{ "pile_set_name": "DM Mathematics" }
0? 4073 49a3 (base 15) to base 8 36476 What is -13200 (base 4) in base 10? -480 Convert -39 (base 12) to base 14. -33 What is 1010111 (base 4) in base 14? 1845 What is 31254 (base 7) in base 6? 55323 100102100 (base 3) to base 5 204432 1597 (base 15) to base 8 11042 What is 234434 (base 6) in base 14? 7662 What is -12663 (base 10) in base 7? -51630 5559 (base 10) to base 13 26b8 What is 372 (base 11) in base 8? 672 -35133 (base 10) to base 8 -104475 Convert 101111001 (base 2) to base 7. 1046 10011011111101 (base 2) to base 14 38cd 141241 (base 5) to base 12 3451 -20112 (base 3) to base 10 -176 Convert 1010100111 (base 2) to base 6. 3051 Convert 172 (base 15) to base 8. 514 -110000101101 (base 2) to base 16 -c2d -2ca (base 14) to base 9 -703 -1806 (base 11) to base 3 -10011101 Convert -38207 (base 9) to base 11. -1832a Convert -30b3 (base 15) to base 13. -48ba Convert 1342 (base 9) to base 8. 1762 What is 3c6 (base 16) in base 8? 1706 What is 4255 (base 6) in base 10? 971 What is 1100001 (base 2) in base 4? 1201 Convert -2bc5 (base 13) to base 9. -8716 1054 (base 9) to base 14 3d8 What is -20001 (base 3) in base 9? -201 Convert -100010000 (base 2) to base 10. -272 Convert 131 (base 10) to base 11. 10a What is -45064 (base 8) in base 10? -18996 What is -7be (base 16) in base 15? -8c2 What is -bc4 (base 15) in base 8? -5143 -110011 (base 4) to base 15 -5aa What is 13623 (base 10) in base 16? 3537 What is 10011112 (base 3) in base 16? 905 1e2 (base 15) to base 12 305 -4b4 (base 13) to base 14 -42b 174 (base 16) to base 9 453 What is -242243 (base 5) in base 2? -10001101110001 332151 (base 6) to base 3 1102000111 172 (base 10) to base 16 ac What is 25451 (base 6) in base 3? 12021111 What is -806 (base 9) in base 13? -3b4 Convert -2cc3 (base 16) to base 13. -52a6 What is 1a02 (base 13) in base 4? 330301 Convert 828 (base 10) to base 3. 1010200 -431a (base 16) to base 14 -6390 What is -f7 (base 16) in base 13? -160 Convert 1133a (base 11) to base 10. 16378 What is 3506 (base 15) in base 8? 25770 -113 (base 13) to base 5 -1220 What is 192d (base 15) in base 8? 12503 3042 (base 6) to base 8 1242 10000011111010 (base 2) to base 8 20372 What is 13340 (base 6) in base 8? 4034 What is 4697 (base 11) in base 3? 22110000 Convert 3185 (base 14) to base 11. 6469 What is 1510 (base 6) in base 4? 12102 Convert -516 (base 8) to base 4. -11032 What is -3311320 (base 4) in base 7? -63610 Convert 1220000 (base 3) to base 8. 2541 What is -2de (base 15) in base 11? -54a Convert 21051 (base 7) to base 2. 1010000111101 Convert 1212323 (base 4) to base 14. 2587 Convert -7628 (base 11) to base 9. -14732 132 (base 15) to base 6 1132 Convert -2012101 (base 3) to base 16. -643 What is 1052 (base 6) in base 11? 206 What is -55b3 (base 13) in base 11? -8aa8 What is -5525 (base 8) in base 7? -11313 1001101011 (base 2) to base 8 1153 What is -609 (base 13) in base 6? -4423 What is -5d4 (base 16) in base 2? -10111010100 Convert -1012 (base 5) to base 16. -84 What is -102000220 (base 3) in base 5? -224133 What is 10d (base 14) in base 3? 21202 What is 130010 (base 4) in base 10? 1796 -1a21 (base 14) to base 9 -6438 -333110 (base 4) to base 16 -fd4 Convert 1667 (base 9) to base 6. 5524 15124 (base 7) to base 13 1b9a What is 1701 (base 9) in base 5? 20142 -ce (base 15) to base 8 -302 -727 (base 11) to base 3 -1012110 Convert -9ec (base 15) to base 3. -10002020 -95a (base 14) to base 13 -abb -466 (base 13) to base 9 -1034 761 (base 13) to base 11 a48 Convert 1326 (base 12) to base 6. 14050 What is -215340 (base 6) in base 15? -5540 What is -32165 (base 7) in base 9? -11852 13d4 (base 14) to base 5 103033 13e43 (base 15) to base 11 44069 Convert 26320 (base 9) to base 13. 810c -122 (base 5) to base 9 -41 Convert 6a9c (base 13) to base 6. 153241 What is -3475 (base 8) in base 14? -965 11 (base 8) to base 14 9 14258 (base 11) to base 5 1122040 111101101000 (base 2) to base 11 2a66 -1101010101111 (base 2) to base 4 -1222233 What is -103013333 (base 4) in base 2? -10011000111111111 What is 333441 (base 6) in base 7? 144505 Convert -8f8 (base 16) to base 10. -2296 Convert 47483 (base 9) to base 11. 21940 What is 2b2 (base 14) in base 6? 2312 5601 (base 10) to base 8 12741 -774 (base 16) to base 7 -5364 -26551 (base 8) to base 14 -4345 Convert 101100110111001 (base 2) to base 11. 16291 -30444 (base 5) to base 8 -3717 Convert 12066 (base 8) to base 10. 5174 What is -2239 (base 13) in base 2? -1001010101100 What is 22000202 (base 3) in base 15? 1b02 Convert 122211 (base 4) to base 16. 6a5 Convert -1d74 (base 15) to base 6. -45401 What is 235a (base 13) in base 9? 6738 -ec0 (base 16) to base 8 -7300 What is 42ec (base 16) in base 11? 11965 Convert -105 (base 7) to base 6. -130 What is 3640 (base 8) in base 6? 13012 Convert -10100010100110 (base 2) to base 15. -313b 31353 (base 7) to base 3 101121100 Convert 129 (base 12) to base 16. b1 What is 350 (base 6) in base 10? 138 27009 (base 10) to base 5 1331014 What is 17 (base 10) in base 2? 10001 What is 531 (base 6) in base 9? 241 Convert -1624 (base 12) to base 4. -220330 What is -1110011000001 (base 2) in base 9? -11078 -9a23 (base 12) to base 14 -62b9 480 (base 14) to base 16 380 Convert 4184 (base 10) to base 11. 3164 Convert -32122 (base 7) to base 3. -101220121 What is -14210 (base 6) in base 10? -2238 10242 (base 7) to base 11 199a What is 3b7 (base 14) in base 6? 3245 20b4 (base 13) to base 14 1925 6786 (base 10) to base 3 100022100 531 (base 11) to base 16 27f Convert 1bc0 (base 14) to base 16. 13cc 216 (base 8) to base 13 ac -2b3 (base 13) to base 14 -268 -16795 (base 14) to base 8 -156077 What is -634 (base 8) in base 16? -19c 10020 (base 3) to base 11 7a What is -31221 (base 5) in base 10? -2061 What is -5166 (base 7) in base 2? -11100010100 Convert -11223 (base 5) to base 15. -393 -665 (base 9) to base 13 -32c What is -3516 (base 8) in base 7? -5311 11102 (base 4) to base 8 522 What is -25654 (base 7) in base 10? -6850 Convert 3444 (base 7) to base 15. 58c Convert -1011110001100100 (base 2) to base 6. -1011140 Convert 7c1 (base 14) to base 4. 120011 3194 (base 13) to base 10 6881 What is -2926 (base 11) in base 8? -7303 What is -8646 (base 15) in base 9? -42873 Convert 20222201 (base 4) to base 14. cd0d Convert -3234 (base 8) to base 3. -2022200 121021 (base 3) to base 7 1165 100101000011 (base 2) to base 11 1866 Convert -11122 (base 11) to base 4. -3323311 -3223003 (base 4) to base 15 -46cd Convert -154a3 (base 12) to base 16. -757b Convert -62a (base 11) to base 13. -464 What is 953 (base 14) in base 10? 1837 Convert -3424 (base 5) to base 11. -405 Convert 7b4 (base 16) to base 6. 13044 Convert 3a1 (base 12) to base 14. 2b7 Convert 756 (base 13) to base 10. 1254 What is -347 (base 10) in base 7? -1004 1010100001000 (base 2) to base 16 1508 What is -4424 (base 6) in base 8? -2000 Convert -1750 (base 8) to base 5. -13000 What is -11011111110010 (base 2) in base 15? -439c -32122 (base 4) to base 16 -39a -1360 (base 12) to base 4 -202320 What is -10540 (base 9) in base 15? -211c Convert -20451 (base 9) to base 15. -3ee7 What is 168 (base 15) in base 12? 22b Convert -170 (base 11) to base 2. -11000110 What is 979c (base 13) in base 8? 51135 91 (base 14) to base 13 9a 1101010011001101 (base 2) to base 3 2202201200 What is -4605 (base 14) in base 9? -17607 -19111 (base 10) to base 11 -133a4 What is 32 (base 16) in base 4? 302 What is 212022 (base 3) in base 11? 522 8232 (base 10) to base 13 3993 What is -a232 (base 11) in base 14? -4d47 Convert 16e (base 16) to base 14. 1c2 What is 303 (base 16) in base 15? 366 What is 15176 (base 13) in base 14? 1071a -305350 (base 7) to base 2 -1100110001011110 What is 16427 (base 9) in base 10? 11284 Convert -756 (base 13) to base 12. -886 What is -b507 (base 12) in base 14? -7299 26a1 (base 14) to base 3 100100001 -13313 (base 4) to base 5 -4003 What is 20010100 (base 3) in base 9? 6110 -2548 (base 13) to base 12 -3097 Convert 12435 (base 7) to base 12. 1ab9 What is 33 (base 13) in base 3? 1120 Convert 127 (base 8) to base 16. 57 Convert 5b (base 14) to base 7. 144 What is -1649 (base 13) in base 11? -2505 -22504 (base 6) to base 11 -2457 Convert 86 (base 13) to base 6. 302 What is -368 (base 10)
{ "pile_set_name": "DM Mathematics" }
Let t be (-10)/45 + (-184)/(-18). Suppose -t = 5*h - 0*h. Find the common denominator of (-2)/48*3/h and 111/14. 112 Let a = 164 + -90. Find the common denominator of ((-18)/33)/(8/a) and -71/8. 88 Let j = 2 - -5. What is the lowest common multiple of j and 6? 42 Let q = -110396/27 - -4090. What is the common denominator of 17/33 and q? 297 Calculate the lowest common multiple of 2*4*(-1)/(-2) and 6. 12 Let p be 4/14 - 10971/7. Let g = 25061/16 + p. Find the common denominator of (-2)/(-8) + 98/(-24) and g. 48 Let v(k) = k**3 + 7*k**2 + k + 9. What is the smallest common multiple of 7 and v(-7)? 14 Let k = 848 + -5983/7. Find the common denominator of -6/5 and k. 35 Let j = -49/4 - -23/4. Let v be -8*1*606/14. Let s = 345 + v. Find the common denominator of j and s. 14 Let c = 31 - 25. What is the smallest common multiple of (-4)/(-2) + -1 + 9 and c? 30 Find the common denominator of -12 and (30 - -9)/(8/1). 8 Let v = -124 - -128. What is the smallest common multiple of v and 40? 40 Let f(g) be the third derivative of -g**6/120 - 2*g**5/15 - g**4/4 + 3*g**3/2 - 2*g**2. Calculate the least common multiple of f(-7) and 6. 6 Let z = 9/49 - -1010/637. Calculate the common denominator of z and -47/2. 26 Let z(d) = d**2 + 3*d + 6. Suppose 4*l + 48 = -32. Let v = 40 + l. What is the lowest common multiple of z(-5) and v? 80 Calculate the least common multiple of 4 and (-2)/1 + 12 + 1. 44 Let o = -25 + 41. Let m = -10 + o. Suppose 5*f - 27 = g + 2*g, -2*g + 8 = f. What is the smallest common multiple of f and m? 6 Suppose 3*f + 1 = -2. Let l be -6 - (-2 - 0/f). Calculate the lowest common multiple of 12 and ((-2)/l)/(1/24). 12 Suppose 0 = -6*q + 4*q + 5*m + 21, m = -5*q + 39. Let h = q + -4. Suppose p - h*p + 117 = 0. Find the common denominator of p and 58/7. 7 Let a = -4/5041825 + 53668210403/10083650. Let c = a - 5316. Let v = -18812 - -263481/14. What is the common denominator of c and v? 70 Let v(s) = s**2 + s - 2. Let r be v(-3). Suppose r*u - 80 = -16. What is the lowest common multiple of u and -12*2*(-6)/8? 144 What is the smallest common multiple of 20/12 - 196/(-12) and 22? 198 Let s = 10099/18 - 560. Find the common denominator of s and -53/5. 90 Suppose -3*k = r - 0*r - 13, 0 = 5*k - 15. Let m(n) = 2. Let h(f) = f - 4. Let z(l) = 2*h(l) + 5*m(l). Calculate the lowest common multiple of 3 and z(r). 30 Let c be (1/(-21))/((-440)/76662). Let z = -1/308 - c. Let l = -148263/90230 + 2/6445. What is the common denominator of l and z? 70 Let k = 0 + 0. Suppose 0 = y + g - 5, 3*g - 2 - 7 = -2*y. What is the lowest common multiple of 6 + k/1 - 0 and y? 6 Suppose -6 = 5*p - 4*j, 5*j - 4*j + 6 = 5*p. Suppose -p*v = -3*q + 11 + 26, 0 = -3*q + 5*v + 52. What is the least common multiple of 8 and q? 72 Suppose 2*p - 59 = -2*u + u, -p = 3*u - 182. What is the least common multiple of 9 and u? 549 Calculate the smallest common multiple of 4*(3 + (-22)/8) and 2. 2 Suppose -2*u + 10 = 3*b, 4*b = u + 2*u + 19. Suppose -2*x - 144 = x. Let t = -30 - x. What is the lowest common multiple of t and b? 36 What is the common denominator of (3 - 1) + -6*3 and -5/2? 2 Let v = -9 - -12. Suppose 0 = v*l - 46 - 14. Calculate the lowest common multiple of 6 and l. 60 Let i = -27 - -35. What is the lowest common multiple of 46 and i? 184 Let w = 26 + -16. What is the smallest common multiple of w and 5? 10 Let t be (-159576)/(-84) - 2/(-7). Let l = 20938/11 - t. Find the common denominator of -23/21 and l. 231 Suppose 0 = 4*d - o - 91, -2*o = 8 - 2. Calculate the least common multiple of 16 and d. 176 Suppose 5*x - 17 - 73 = 0. Suppose 10 = -f - 4*f. Let q = f - -10. What is the smallest common multiple of x and q? 72 Suppose -2*h = 2*h + 12. Let o = 22 + -10. What is the smallest common multiple of o and (-8)/12 - 44/h? 84 Let w = 5 - 3. Let h(u) = -4*u**2 + u - 8*u**3 + 8*u**2 - 5 + 7*u**3 + 4*u**2. Calculate the least common multiple of h(8) and w. 6 Find the common denominator of 85/2 and -1*2*-39*(-2)/96. 8 Let x = 414/665 - 40541/3990. Let w = x + -127/35. Find the common denominator of w and 31/2. 6 Let f = -455474/2622705 - -4/49485. Let y = f - 51307/2120. Let p = -25/8 - y. What is the common denominator of 83/8 and p? 8 Suppose -2*y - 5*z = 70, -2*y - 5*z = -y + 45. Suppose -3*p + 4 = h, -4*p - 28 = -0*h - 2*h. Calculate the least common multiple of 3 and (-2)/h - 180/y. 21 Let l(r) = -2*r**3 - 5*r**2 - 5*r - 4. Suppose g = 4*a - 120, -150 = 2*a - 7*a + g. Calculate the least common multiple of l(-3) and a. 60 Suppose 3*h - 18 = 2*h. What is the smallest common multiple of h and 11? 198 Let o = 30 + -25. Let j(g) = 2*g - 7. Calculate the smallest common multiple of j(5) and o. 15 Let d(a) = a**2 + 4. Calculate the least common multiple of 8 and d(0). 8 Let v(a) = -19*a - 5. What is the least common multiple of 112 and v(-1)? 112 Let w = 636 + -351. Let p = 19753/7 + -2829. Calculate the common denominator of -3 + w/35 - 3 and p. 7 Let b = -2 - 1. Let m be b/(-1780)*24/81. Let s = -188267/64080 + m. Calculate the common denominator of 95/8 and s. 16 Suppose 0 = 4*t - 5*k + 17, 4*k - 12 = -0*t + 4*t. Let q(w) = w**2 + 4*w - 3. Calculate the least common multiple of q(t) and 2. 18 What is the common denominator of 725/(-200) - 1*4 and -19/7? 56 Let v(m) = m**3 - 9*m**2 + 3*m - 10. Let h be v(7). Let u = h + 37. What is the common denominator of u and 66/108 - 1/(-2)? 9 Suppose 4*d = 5*s + 1735, 4*d + 158 - 852 = 2*s. Let z = s + 608. Calculate the common denominator of 5/22 and 0 + z/(-60) + 2. 220 Let x(r) = r**3 - 5*r**2 + 3*r. Let d be x(3). Suppose 3*t + 3*t = -6. Calculate the common denominator of -7/11 and ((-62)/d)/(t/3). 33 Let c(b) = b**3 + 8*b**2 + 7*b - 8. Calculate the smallest common multiple of 14 and c(-6). 154 Suppose -3 - 11 = -s. Calculate the lowest common multiple of s and 8. 56 Let b = 19/109 + -7417/654. Calculate the common denominator of -35/4 and b. 12 Suppose 0*p + 78 = 2*p - 2*d, -5*p - 4*d + 177 = 0. Suppose 3*x - 29 = p. Calculate the least common multiple of x and 20. 220 Suppose -2*g + 6 = 2. Suppose 4*u = 4*y, 3*y - 2 = 3*u - u. Calculate the smallest common multiple of g and y. 2 Let x = -16 - -27. What is the least common multiple of x and 1? 11 What is the least common multiple of 6/4 + (-87)/(-6) and 48/9*(-12)/(-8)? 16 Suppose 2*a + 0*a = -5*x - 7, -x = a - 1. Calculate the lowest common multiple of 8 and a. 8 Let l be 1/5 - 296505/25782. Let p = l + 2/4297. Calculate the common denominator of 216/66*(-3)/(-9) and p. 110 Calculate the smallest common multiple of 8 and (25 + -1)*(-52)/(-39). 32 Let y = -787/5 - -3503/20. Let f = -1487/288 + 135/32. Find the common denominator of f and y. 36 Let c(z) = z**2 - 4*z + 8. Let v be (-2 + -2)/2*-3. What is the smallest common multiple of 11/2*(-1 + 5) and c(v)? 220 Suppose 4 = -4*g, 0*r = 5*r - 2*g + 13139243. Let k = -1085300413/413 - r. Let h = -19/59 - k. Calculate the common denominator of 19/2 and h. 14 Let z(j) = -j**2 + 5*j - 4. Let t be z(3). Suppose 5*s - 27 = t*q - 3*q, 15 = 5*s + 5*q. Calculate the least common multiple of (4/s)/((-1)/(-15)) and 2. 10 Let f(j) = -3*j**2 - 11*j + 5. Let x(w) = 4*w**2 + 11*w - 6. Let v(b) = -5*f(b) - 4*x(b). Calculate the lowest common multiple of 2 and v(10). 18 Suppose 30 = 4*q + 2*q. Suppose -q*k + 4*a + 70 = 0, 3*k - 3*a - 2*a - 29 = 0. What is the smallest common multiple of 10 and k? 90 Calculate the smallest common multiple of (-6)/(-14) - (-1090)/70 and 6. 48 Let g(q) = 4*q**2 - 4. Find the common denominator of g(3) and 37/33. 33 Suppose 3*v - c = 11084, 2*v - 4838 = 2*c + 2558. Let z = v + -73953/20. What is the common denominator of z and -53/4? 20 Suppose 0 = -4*s + 42 + 2. Suppose 0 = j - 2*j - 2, 5*j = -4*r + 22. Calculate the least common multiple of s and r. 88 Let j = 43 + -21. What is the least common multiple of 16 and j? 176 Let l = 3 + -1. What is the smallest common multiple of 18 and l? 18 Let g(a) = -a**2 + 4*a + 1. Let k be g(6). Let l = -47 - k. Calculate the common denominator of (-251)/l - 9/36 and 133/12. 36 Suppose 4*i + 6 = 7*i. Suppose -4*s = -3*t + 35, 2*t = -i*t + 5*s + 46. What is the smallest common multiple of 5 and t? 45 Let k be (5 - 4)*-6*-7. What is the common denominator of 204/16*(-2)/k and 65/
{ "pile_set_name": "DM Mathematics" }
: 3, s: 2}? 3/136 Calculate prob of sequence kv when two letters picked without replacement from {v: 8, g: 5, k: 3}. 1/10 What is prob of sequence vii when three letters picked without replacement from viiavm? 1/30 What is prob of sequence zbb when three letters picked without replacement from {b: 2, z: 1, i: 4, x: 1}? 1/168 What is prob of sequence wnh when three letters picked without replacement from {n: 1, h: 1, v: 2, w: 1}? 1/60 Three letters picked without replacement from wbzwbbybwycb. What is prob of sequence wbb? 1/22 Three letters picked without replacement from ooooooo. Give prob of sequence ooo. 1 What is prob of sequence qcn when three letters picked without replacement from {g: 1, h: 3, c: 1, q: 3, v: 1, n: 5}? 5/728 Calculate prob of sequence ccc when three letters picked without replacement from {c: 5, n: 9}. 5/182 Calculate prob of sequence wo when two letters picked without replacement from qsowq. 1/20 Two letters picked without replacement from kncinqcincqiss. What is prob of sequence ci? 9/182 Three letters picked without replacement from {v: 7, l: 1, q: 4, r: 4, w: 3}. Give prob of sequence rvq. 56/2907 What is prob of sequence xws when three letters picked without replacement from wsoxwjxjsxxw? 1/55 Two letters picked without replacement from {e: 2, z: 1, f: 1, g: 1, p: 2, d: 1}. Give prob of sequence zp. 1/28 Three letters picked without replacement from {d: 3, k: 2}. What is prob of sequence kdd? 1/5 Calculate prob of sequence cd when two letters picked without replacement from kkkcnckdnkcsskksknkk. 3/380 What is prob of sequence tiw when three letters picked without replacement from qqixtwwi? 1/84 Four letters picked without replacement from {a: 5, v: 3, x: 3}. Give prob of sequence vaaa. 1/44 Three letters picked without replacement from wywyyyyywawwya. What is prob of sequence ayw? 5/156 Four letters picked without replacement from {g: 4, p: 3}. What is prob of sequence gggg? 1/35 Three letters picked without replacement from kkkkkktkkkkkkkkkkkkk. What is prob of sequence ktk? 1/20 What is prob of sequence llxl when four letters picked without replacement from jglxjjxxxljlxjxl? 3/910 Four letters picked without replacement from {k: 3, l: 12}. Give prob of sequence kllk. 11/455 What is prob of sequence bon when three letters picked without replacement from {b: 1, f: 3, n: 3, o: 2, d: 1}? 1/120 Calculate prob of sequence fff when three letters picked without replacement from {f: 10, q: 10}. 2/19 Calculate prob of sequence koo when three letters picked without replacement from ookkok. 3/20 Three letters picked without replacement from lllllllfllcrxxlltllt. What is prob of sequence crf? 1/6840 Three letters picked without replacement from {f: 10, a: 2}. Give prob of sequence aaf. 1/66 Two letters picked without replacement from oaxmtvv. Give prob of sequence xa. 1/42 What is prob of sequence kkuu when four letters picked without replacement from uuukuuuukuuukk? 45/1001 What is prob of sequence zm when two letters picked without replacement from {m: 6, z: 2}? 3/14 Three letters picked without replacement from kbiigliig. Give prob of sequence iik. 1/42 Four letters picked without replacement from xjpjqvxpvpzqqjxj. Give prob of sequence jqxz. 3/3640 Three letters picked without replacement from nnnnnpnnnpnnnpnnnn. What is prob of sequence ppp? 1/816 Three letters picked without replacement from {o: 1, x: 1, i: 1, q: 1, r: 1, l: 2}. What is prob of sequence iox? 1/210 Calculate prob of sequence yk when two letters picked without replacement from kykykk. 4/15 Three letters picked without replacement from sqsqnswpqw. Give prob of sequence wnw. 1/360 Two letters picked without replacement from {q: 5, u: 3}. Give prob of sequence uu. 3/28 Four letters picked without replacement from ttccttccttt. What is prob of sequence ttcc? 7/110 Four letters picked without replacement from qoozjlzjololomjoozq. Give prob of sequence qojz. 7/5168 Calculate prob of sequence iaj when three letters picked without replacement from {v: 4, o: 2, a: 1, j: 1, i: 2}. 1/360 What is prob of sequence fvh when three letters picked without replacement from {f: 11, v: 2, p: 1, h: 1}? 11/1365 Calculate prob of sequence qu when two letters picked without replacement from {h: 1, d: 1, q: 3, t: 2, u: 3, c: 2}. 3/44 Three letters picked without replacement from {z: 3, k: 3, a: 3, p: 3}. What is prob of sequence kpp? 3/220 Two letters picked without replacement from rllllprlrrrrprl. Give prob of sequence ll. 1/7 Three letters picked without replacement from vttvvtvv. Give prob of sequence ttv. 5/56 What is prob of sequence fuf when three letters picked without replacement from {f: 2, g: 2, c: 1, u: 1, l: 1}? 1/105 Two letters picked without replacement from {y: 1, i: 2, w: 3, z: 1, t: 3}. Give prob of sequence ww. 1/15 What is prob of sequence tko when three letters picked without replacement from bkobbobtbbvt? 1/330 Calculate prob of sequence eme when three letters picked without replacement from eame. 1/12 Calculate prob of sequence ogr when three letters picked without replacement from {o: 1, s: 1, j: 2, g: 1, r: 1, u: 1}. 1/210 What is prob of sequence ffd when three letters picked without replacement from dffffffffffd? 3/22 Three letters picked without replacement from {s: 2, g: 3, t: 1, x: 3, r: 1}. Give prob of sequence ssr. 1/360 Four letters picked without replacement from sinnn. What is prob of sequence inns? 1/20 Calculate prob of sequence xqbs when four letters picked without replacement from bbssssqsbaxxxx. 5/2002 What is prob of sequence rer when three letters picked without replacement from fewwrefwwrerpwwwr? 3/340 Four letters picked without replacement from wggggatgwtwagaggw. Give prob of sequence wawt. 3/2380 Calculate prob of sequence yi when two letters picked without replacement from {y: 3, i: 1, q: 4, t: 1, a: 5}. 3/182 What is prob of sequence pi when two letters picked without replacement from {p: 1, i: 1, t: 1}? 1/6 Three letters picked without replacement from jjjjhjhjhjjjjh. What is prob of sequence jhh? 5/91 Three letters picked without replacement from yyryywwhyrwyywhwhyw. Give prob of sequence www. 20/969 Two letters picked without replacement from wpwwh. What is prob of sequence wp? 3/20 Calculate prob of sequence iz when two letters picked without replacement from {w: 2, u: 3, i: 3, z: 5}. 5/52 Three letters picked without replacement from umuuzllmzuzmml. Give prob of sequence umm. 2/91 Three letters picked without replacement from {v: 11, e: 2}. Give prob of sequence vev. 5/39 Four letters picked without replacement from {f: 1, c: 4, i: 2, q: 7, r: 2, s: 1}. Give prob of sequence qiqc. 1/170 Four letters picked without replacement from dyddpddyl. Give prob of sequence dylp. 5/1512 Three letters picked without replacement from {j: 3, a: 2, h: 5}. What is prob of sequence hah? 1/18 Two letters picked without replacement from {k: 2, s: 1, l: 4, g: 2}. Give prob of sequence ks. 1/36 Calculate prob of sequence kkvl when four letters picked without replacement from usuvuvvgvkgvsuvlk. 1/4760 What is prob of sequence qz when two letters picked without replacement from iqqzq? 3/20 Calculate prob of sequence sss when three letters picked without replacement from {m: 2, s: 7}. 5/12 Calculate prob of sequence lj when two letters picked without replacement from {j: 5, g: 4, t: 3, l: 1}. 5/156 Two letters picked without replacement from {p: 2, j: 2, b: 4, a: 6, i: 4, w: 2}. Give prob of sequence wi. 2/95 What is prob of sequence yyy when three letters picked without replacement from {y: 6}? 1 Calculate prob of sequence tt when two letters picked without replacement from ttttaauatutata. 3/13 Four letters picked without replacement from {t: 3, b: 2}. What is prob of sequence bttt? 1/10 What is prob of sequence araw when four letters picked without replacement from {w: 5, r: 4, a: 2}? 1/198 Calculate prob of sequence sefb when four letters picked without replacement from {f: 3, h: 4, b: 1, x: 3, s: 3, e: 1}. 1/3640 Calculate prob of sequence egaa when four letters picked without replacement from {e: 2, c: 4, w: 3, g: 1, a: 2}. 1/2970 What is prob of sequence ddhh when four letters picked without replacement from oooodhhddoodo? 1/715 Calculate p
{ "pile_set_name": "DM Mathematics" }
/3, to the nearest integer? 10 What is the third root of 25857 to the nearest integer? 30 What is the square root of 1123 to the nearest integer? 34 What is the seventh root of 792 to the nearest integer? 3 What is the square root of 40845 to the nearest integer? 202 What is the square root of 1025 to the nearest integer? 32 What is 4316 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 2104 to the nearest integer? 3 What is the eighth root of 50223 to the nearest integer? 4 What is the sixth root of 89087 to the nearest integer? 7 What is the square root of 5571 to the nearest integer? 75 What is the third root of 4513 to the nearest integer? 17 What is the square root of 1398 to the nearest integer? 37 What is the third root of 3542 to the nearest integer? 15 What is 212 to the power of 1/2, to the nearest integer? 15 What is 3409 to the power of 1/3, to the nearest integer? 15 What is the cube root of 341 to the nearest integer? 7 What is the seventh root of 3727 to the nearest integer? 3 What is 92 to the power of 1/3, to the nearest integer? 5 What is 77507 to the power of 1/4, to the nearest integer? 17 What is 276 to the power of 1/5, to the nearest integer? 3 What is 302 to the power of 1/2, to the nearest integer? 17 What is 1009 to the power of 1/8, to the nearest integer? 2 What is 892 to the power of 1/2, to the nearest integer? 30 What is 9103 to the power of 1/3, to the nearest integer? 21 What is 80082 to the power of 1/5, to the nearest integer? 10 What is 173 to the power of 1/2, to the nearest integer? 13 What is 10505 to the power of 1/2, to the nearest integer? 102 What is the cube root of 20894 to the nearest integer? 28 What is the square root of 10356 to the nearest integer? 102 What is the sixth root of 3280 to the nearest integer? 4 What is the fourth root of 943 to the nearest integer? 6 What is the fourth root of 2770 to the nearest integer? 7 What is the square root of 14062 to the nearest integer? 119 What is the fifth root of 10837 to the nearest integer? 6 What is the third root of 220 to the nearest integer? 6 What is 6309 to the power of 1/2, to the nearest integer? 79 What is the third root of 1833 to the nearest integer? 12 What is the square root of 10394 to the nearest integer? 102 What is 17408 to the power of 1/9, to the nearest integer? 3 What is the third root of 7560 to the nearest integer? 20 What is the ninth root of 27894 to the nearest integer? 3 What is the third root of 51038 to the nearest integer? 37 What is 150 to the power of 1/8, to the nearest integer? 2 What is the fourth root of 70868 to the nearest integer? 16 What is 25295 to the power of 1/2, to the nearest integer? 159 What is 667 to the power of 1/9, to the nearest integer? 2 What is the third root of 737 to the nearest integer? 9 What is the third root of 64998 to the nearest integer? 40 What is the eighth root of 14744 to the nearest integer? 3 What is 50383 to the power of 1/7, to the nearest integer? 5 What is 1635 to the power of 1/8, to the nearest integer? 3 What is 1116 to the power of 1/4, to the nearest integer? 6 What is the cube root of 610 to the nearest integer? 8 What is the fifth root of 9138 to the nearest integer? 6 What is 27673 to the power of 1/3, to the nearest integer? 30 What is the sixth root of 5944 to the nearest integer? 4 What is the tenth root of 2691 to the nearest integer? 2 What is 854 to the power of 1/2, to the nearest integer? 29 What is 4590 to the power of 1/7, to the nearest integer? 3 What is the third root of 458 to the nearest integer? 8 What is 10711 to the power of 1/10, to the nearest integer? 3 What is the third root of 2587 to the nearest integer? 14 What is the square root of 797 to the nearest integer? 28 What is 711 to the power of 1/5, to the nearest integer? 4 What is 1301 to the power of 1/3, to the nearest integer? 11 What is the cube root of 2923 to the nearest integer? 14 What is the cube root of 30504 to the nearest integer? 31 What is 12933 to the power of 1/7, to the nearest integer? 4 What is the cube root of 74383 to the nearest integer? 42 What is 668 to the power of 1/6, to the nearest integer? 3 What is the fourth root of 3268 to the nearest integer? 8 What is 131 to the power of 1/3, to the nearest integer? 5 What is the third root of 5816 to the nearest integer? 18 What is the seventh root of 92313 to the nearest integer? 5 What is the cube root of 24163 to the nearest integer? 29 What is the fourth root of 454 to the nearest integer? 5 What is the third root of 13892 to the nearest integer? 24 What is 31894 to the power of 1/2, to the nearest integer? 179 What is 610 to the power of 1/3, to the nearest integer? 8 What is the cube root of 789 to the nearest integer? 9 What is 33375 to the power of 1/2, to the nearest integer? 183 What is the square root of 128 to the nearest integer? 11 What is the square root of 44844 to the nearest integer? 212 What is the eighth root of 672 to the nearest integer? 2 What is the third root of 1371 to the nearest integer? 11 What is the fifth root of 1000 to the nearest integer? 4 What is the square root of 2820 to the nearest integer? 53 What is the cube root of 44 to the nearest integer? 4 What is 1348 to the power of 1/4, to the nearest integer? 6 What is the fourth root of 8760 to the nearest integer? 10 What is the cube root of 2711 to the nearest integer? 14 What is 10550 to the power of 1/8, to the nearest integer? 3 What is the square root of 283 to the nearest integer? 17 What is the third root of 12456 to the nearest integer? 23 What is the third root of 6041 to the nearest integer? 18 What is 4301 to the power of 1/3, to the nearest integer? 16 What is the square root of 11935 to the nearest integer? 109 What is the square root of 12216 to the nearest integer? 111 What is 7565 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 3290 to the nearest integer? 2 What is 1394 to the power of 1/4, to the nearest integer? 6 What is 23 to the power of 1/9, to the nearest integer? 1 What is the tenth root of 6627 to the nearest integer? 2 What is 75 to the power of 1/2, to the nearest integer? 9 What is 159 to the power of 1/2, to the nearest integer? 13 What is 7472 to the power of 1/2, to the nearest integer? 86 What is the ninth root of 1167 to the nearest integer? 2 What is 823 to the power of 1/3, to the nearest integer? 9 What is the fifth root of 13170 to the nearest integer? 7 What is the third root of 4848 to the nearest integer? 17 What is the cube root of 5370 to the nearest integer? 18 What is 23557 to the power of 1/6, to the nearest integer? 5 What is the seventh root of 221 to the nearest integer? 2 What is 182 to the power of 1/7, to the nearest integer? 2 What is the sixth root of 2946 to the nearest integer? 4 What is 245 to the power of 1/3, to the nearest integer? 6 What is the ninth root of 11249 to the nearest integer? 3 What is the square root of 1642 to the nearest integer? 41 What is the cube root of 10342 to the nearest integer? 22 What is the fifth root of 124817 to the nearest integer? 10 What is 3123 to the power of 1/2, to the nearest integer? 56 What is 6598 to the power of 1/2, to the nearest integer? 81 What is the third root of 17003 to the nearest integer? 26 What is 5436 to the power of 1/3, to the nearest integer? 18 What is 2759 to the power of 1/9, to the nearest integer? 2 What is the square root of 68730 to the nearest integer? 262 What is the seventh root of 2968 to the nearest integer? 3 What is 2671 to the power of 1/2, to the nearest integer? 52 What is 89326 to the power of 1/10, to the nearest integer? 3 What is 3477 to the power of 1/2, to the nearest integer? 59 What is 38951 to the power of 1/3, to the nearest integer? 34 What is the square root of 11800 to the nearest integer? 109 What is 4289 to the power of 1/3, to the nearest integer? 16 What is 9792 to the power of 1/2, to the nearest integer? 99 What is 783 to the power of 1/6, to the nearest integer? 3 What is the cube root of 4671 to the nearest integer? 17 What is 177603 to the power of 1/3, to the nearest integer? 56 What is the cube root of 6097 to the nearest integer? 18
{ "pile_set_name": "DM Mathematics" }
+ 0. Factor r(c). -(c - 1)**3*(c + 1) Factor -6/5*g**4 + 0*g**3 + 6/5*g**2 - 3/5*g**5 + 0 + 3/5*g. -3*g*(g - 1)*(g + 1)**3/5 Let z(q) = 2*q**2 + 4*q + 2. Let o be z(-2). Determine d so that 0 - 3*d**3 - 1/2*d**o + d = 0. -2/3, 0, 1/2 Let m be -3 - -2 - (-15)/10. Factor 1/2*i**4 + 0*i**2 + i - m - i**3. (i - 1)**3*(i + 1)/2 Let d = -22 + 28. Suppose 0 = 3*v + 2*v - 25. Factor 2*h**2 - v*h**2 + d - 24 - 12*h + h**2. -2*(h + 3)**2 Factor 19*y - 9 - y**2 - 26*y + 13*y. -(y - 3)**2 Suppose -l + 3*o + 0*o = 10, 0 = -2*l - o + 8. Let n be -5*(14/10 - l). Let -n*t - 4*t + t**2 + 6*t = 0. Calculate t. 0, 1 Let l be 3/((-8640)/(-4)) + 1 + -1. Let t(u) be the third derivative of l*u**6 + 0*u - 3/4*u**3 + 0 + 3*u**2 + 3/16*u**4 - 1/40*u**5. Factor t(v). (v - 3)**3/6 Suppose 0 = -4*q - 5 - 3, -m + 2*q + 6 = 0. Factor 2/3*k**3 + 1/3*k**4 - 1/3*k - 2/3*k**m + 1/3 - 1/3*k**5. -(k - 1)**3*(k + 1)**2/3 Let y(w) = -w**2 - 2. Suppose -3*v = -0*g + 3*g + 15, 0 = -4*v + 4*g - 4. Let o(l) = -2 - 3 + 4. Let b(a) = v*o(a) + y(a). Suppose b(f) = 0. What is f? -1, 1 Let n be ((-2)/(-8))/((-180)/(-1152)). Factor 0*z - 4/5*z**2 + n*z**4 - 6/5*z**5 + 0 + 2/5*z**3. -2*z**2*(z - 1)**2*(3*z + 2)/5 Let h(y) be the first derivative of -2*y**3 - y**4 - y - 3 - 1/5*y**5 - 2*y**2. Factor h(m). -(m + 1)**4 Let f be -4*(6/4 - 2). Let v = -1 + 3. Let -f*q**2 - 1 + 6*q**v - 2*q - q**2 = 0. What is q? -1/3, 1 Factor -2/3*d**3 + 3*d**4 + 0 + 0*d**2 + 11/3*d**5 + 0*d. d**3*(d + 1)*(11*d - 2)/3 Let x(t) be the first derivative of 0*t + t**4 + 0*t**2 - 3 - 4/3*t**3. Factor x(q). 4*q**2*(q - 1) Let o be (1 - 0)/((-1)/(-2)). Let j = -54 - -56. Factor l + 0*l + 3*l**o + 3 + 0*l**j + 5*l. 3*(l + 1)**2 Suppose 5 = -2*g + 1. Let w be g + 6 - (1 - -1). Find a such that 16*a**2 + 4 + 25*a**3 + 12*a**2 + 24*a + 17*a**w = 0. -1, -2/5 Let p(n) be the first derivative of -1/15*n**3 + 0*n + 0*n**2 - 1. Let p(f) = 0. Calculate f. 0 Let y = 249 - 12449/50. Let v(r) be the second derivative of y*r**5 - 3*r + 1/30*r**4 + 0 - 1/5*r**2 - 1/15*r**3. Factor v(j). 2*(j - 1)*(j + 1)**2/5 Let r(j) be the first derivative of -3/4*j**2 - 8 + j + 1/8*j**4 + 0*j**3. Determine c, given that r(c) = 0. -2, 1 Let g(t) be the first derivative of -t**4/6 + 4*t**3/9 - t**2/3 + 2. Let g(k) = 0. What is k? 0, 1 Let x(c) be the first derivative of c**5/5 - c**4/2 - c**3/3 + c**2 - 15. Let x(m) = 0. Calculate m. -1, 0, 1, 2 Let p be (8/(-70))/(5/(-50)). Let s = 933/7 - 133. Let -p - s*v**2 - 8/7*v = 0. Calculate v. -2 Let s be 40/(-390)*-5*4. Let c = -18/13 + s. Solve -2/3*p**3 + c + 2/3*p - 2/3*p**2 = 0. -1, 1 Let a(s) = -23*s**4 - 38*s**3 - 7*s**2 + 8*s + 3. Let t(k) = 275*k**4 + 455*k**3 + 85*k**2 - 95*k - 35. Let r(o) = -35*a(o) - 3*t(o). Let r(b) = 0. Calculate b. -1, 0, 1/4 Let i(o) be the second derivative of 0 + 1/36*o**4 - 1/6*o**3 + 1/3*o**2 - 3*o. Solve i(q) = 0. 1, 2 Suppose 72 = -5*j - 3*u, -17 = -4*j - 3*u - 74. Let r be (-42)/(-10) - (-3)/j. Factor 4*d**2 + r*d - 8*d**2 - 2*d**2. -2*d*(3*d - 2) Find h, given that -10/7*h**4 + 18/7*h**2 + 4/7*h + 0 - 12/7*h**3 = 0. -2, -1/5, 0, 1 Suppose -y + u - 5 = -0*y, -u = y - 5. Find d, given that 0*d + y - 1/2*d**2 = 0. 0 Let u(h) = -4*h**2 + 6 + 11*h + 0 - 2 + 7*h**3. Let t(p) = 6*p**3 - 4*p**2 + 10*p + 3. Let l(w) = -6*t(w) + 5*u(w). Factor l(s). -(s - 2)*(s - 1)**2 Let g = -10 - -13. Let f(a) be the first derivative of -a**2 - 2 + 2/3*a**g + 0*a. Factor f(q). 2*q*(q - 1) Suppose 13*p - 12*p - 2 = 0. Suppose 3*y = p*y. Factor y - 2/3*l**2 + 1/3*l**3 + 1/3*l. l*(l - 1)**2/3 Let y be (-2)/(-6) - (-24)/36. Let s(q) be the first derivative of -1/3*q**3 + 0*q**2 + 1/4*q**4 - y + 0*q. Factor s(p). p**2*(p - 1) Factor -3/2 - 3/4*w**2 + 9/4*w. -3*(w - 2)*(w - 1)/4 Let f(a) = -9*a**2 + 13*a - 9. Let h(z) = -14*z**2 + 20*z - 14. Let p(k) = 8*f(k) - 5*h(k). Factor p(r). -2*(r - 1)**2 Let k be (6/(-10))/((-6)/4). Let w be 1 + -1 - 14/(-35). Factor 0 + 0*z - w*z**2 - k*z**3. -2*z**2*(z + 1)/5 Find v such that 2/7*v**2 + 6/7*v - 8/7 = 0. -4, 1 Factor -4*u + 3 - 3 + 9*u**3 - 8*u + 3*u**4. 3*u*(u - 1)*(u + 2)**2 Let m(s) = 9*s**3 + 79*s**2 + 244*s - 320. Let a(i) = i**3 + i**2 + i. Let q(l) = 4*a(l) - m(l). Factor q(d). -5*(d - 1)*(d + 8)**2 Solve 4/17*s**4 - 4/17*s**2 - 2/17*s**3 + 0*s + 0 + 2/17*s**5 = 0. -2, -1, 0, 1 Let g(l) be the second derivative of l**6/30 - l**5/40 - l**4/12 + l**3/12 - 19*l. Factor g(s). s*(s - 1)*(s + 1)*(2*s - 1)/2 Suppose -2*l = 2*r + 3*l - 11, 3*r + 4*l - 13 = 0. Determine c so that -3*c**r - 2*c**2 + c**2 + c**2 + 3*c - 3*c**4 + 3*c**2 = 0. -1, 0, 1 Let n = 15 - 22. Let g be (6/(-21))/(4/n). Suppose g*t + 1/2 - 1/2*t**2 - 1/2*t**3 = 0. Calculate t. -1, 1 Let o = 31537/48 + -657. Let j(h) be the second derivative of -2*h + o*h**4 + 0 + 1/12*h**3 + 1/8*h**2. Factor j(z). (z + 1)**2/4 Solve 4*a**2 + 4*a**2 - 24 - a**2 - 12*a + 3*a**3 - a**2 = 0 for a. -2, 2 Let z(k) be the first derivative of -k**4/6 + 8*k**3/3 - 16*k**2 + 4*k - 2. Let s(q) be the first derivative of z(q). Find u, given that s(u) = 0. 4 Let d(g) be the third derivative of -1/48*g**4 + 0 + 0*g - 1/6*g**3 - 4*g**2 + 1/120*g**5. Factor d(t). (t - 2)*(t + 1)/2 Let h be 7/70*(3 + -2). Let y(l) be the first derivative of -2 + 0*l**2 + 0*l - 2/15*l**3 + h*l**4. Solve y(s) = 0. 0, 1 Let q(c) be the third derivative of -1/156*c**4 + 1/78*c**5 + 3*c**2 + 1/455*c**7 + 0 + 0*c + 0*c**3 - 7/780*c**6. Find y such that q(y) = 0. 0, 1/3, 1 Let q be (-54)/8 + (-2)/8. Let x = -47/7 - q. What is c in -2/7*c - x*c**2 + 4/7 = 0? -2, 1 Suppose 0 = 2*c - 4*c + 6. Let d be ((-3 - 0)/1)/(-1*4). Factor 3/4*r**2 + d*r + 1/4*r**c + 1/4. (r + 1)**3/4 Suppose -4*r - r + 10 = 0. Let n(m) be the third derivative of 0*m + 0 + 1/60*m**5 + 1/24*m**4 + 0*m**3 - r*m**2. Suppose n(s) = 0. Calculate s. -1, 0 Suppose -5 = 13*w - 31. Factor 10/3*m**w - 4/3*m + 0. 2*m*(5*m - 2)/3 Let r(o) be the first derivative of 2*o**5/75 - 2*o**3/45 - 61. Solve r(h) = 0. -1, 0, 1 Suppose 0 = v + 3*g + 2 + 2, -3*g + 12 = -3*v. Let p = v - -6. Factor -3*j**5 - 3*j**2 - 6*j**2 + 3*j**p + j - 4*j**3 + 2 + 6*j**5 + 4*j**4. (j - 1)*(j + 1)**3*(3*j - 2) Factor 2/5*j**3 + 0 + 2/5*j**2 + 0*j. 2*j**2*(j + 1)/5 Let q = 62 - 432/7. Factor 6/7*v**2 + 6/7*v**3 + q*v + 0 + 2/7*v**4. 2*v*(v + 1)**3/7 Let k(u) be the second derivative of u**4/20 - 3*u**2/10 + 3*u. Determine z so that k(z) = 0. -1, 1 Let v(y) be the first derivative of -3 - 1/6*y**2 + 0*y + 0*y**3 + 1/12*y**4. Factor v(r). r*(r - 1)*(r + 1)/3 Factor 4*n**2 + 4*n**2 - 7*n**4 - 5*n**4 + 4 + 8*n**3 + 0 - 12*n + 4*n**5. 4*(n - 1)**4*(n + 1) Let o(l) be the second derivative of l**4/6 + 2*l**3/3 + l**2 + 3*l. Factor o(p). 2*(p + 1)**2 Let m = 17 + -17. Suppose y + 1 - 3 = m. Factor -2/7 + 2/7*x - 2/7*x**3 + 2/7*x**y. -2*(x - 1)**2*(x + 1)/7 Let l(n) = n**3 - 2*n**2 - n + 7. Let p(t) = 2*t**2 - 6. Let z(q) = -4*l(q) - 5*p(q). Factor z(y). -2*(y - 1)*(y + 1)*(2*y + 1) Solve -q + 1/2*q**3 - 1/4*q**4 + 3/4*q**2 - 1 = 0. -1, 2 Determine x so that 17*x**4 + 104*x**2 - 17*x - 17*x + 4 - 24*x**5 - 140*x**3 + 67*x**4 + 6*x**5 = 0. 1/3, 1, 2 Suppose 6 = 4*v - 3*p, 3*v - 3*p = 2*v - 3. Factor 8/7*x**2 + 2/7*x**v + 4/7 + 10/7*x. 2*(x + 1)**2*(x + 2)/7 Let g(c) be the first derivative of 3*c**5/35 - 3*c**3/7 - 3*c**2/7 + 5. Let g(l) = 0. Calculate l. -1, 0, 2 Let x(v) = v**2 + 6*v - 4. Let i be x(-7). Let -4*g**i + 3*g**3 + g**3 + 4*g**3 = 0. What is g? 0 Let h = 12 + -9. Let r(p) be the first derivative of -1/5*p**5 + 0*p + 0*p**h + 1/4*p**4 - 3 + 0*p**2. Solve r(s) = 0. 0, 1 Let z(g) = 2*g**3 - g**2 + 3*g - 3. Let j(p) = 5*p**3 - 3*p**2 + 7*p - 7. Let u(b) = 3*j(b) - 7*z(b). Factor u(w). w**2*(w - 2) Solve 42/5*g - 18/5 + 6/5*g**3 + 34/5*g**2 = 0 for g. -3, 1/3 Let u(b) be the third derivative of -b**5/36 + 5*b**4/24 - 5*b**3/9 + 6*b**2. Factor u(k). -5*(k - 2)*(k - 1)/3 Solve 12554 - 12554 + 24*v - 9*v**3 + 69*v**2 = 0. -1/3, 0, 8 Let c(y) be the third derivative of -y**6/360 + y**5/180 + 5*y**4/72 + y**3/6 + 15*y**2. Factor c(q). -(q - 3)*(q + 1)**2/3 Let s = -7 - -57/8. Let n(v) be the first derivative of 1/6*v**3 - s*v**2 - 1 + 0*v - 1/16*v**4. Factor n(a). -a*(a - 1)**2/4 Factor 22/9*x**3 - 4/9 - 10/3*x**2 - 2/3*x**4 + 2*x. -2*(x - 1)**3*(3*x - 2)/9 Factor 0*m**3 - m**2 + 1/2*m**4 + 1/2 + 0*m. (m - 1)**
{ "pile_set_name": "DM Mathematics" }
e 6. -22545112 Convert 34401220 (base 5) to base 12. 12b188 Convert 3e748 (base 15) to base 2. 110001000001000000 What is -57177 (base 12) in base 9? -186121 Convert -c8793 (base 15) to base 12. -268219 Convert -2028322 (base 9) to base 13. -2bb6c5 Convert 1026741 (base 10) to base 5. 230323431 -26ba5e (base 15) to base 13 -502670 What is 11408 (base 11) in base 4? 10001100 What is 1101002002001 (base 3) in base 6? 23350344 Convert -4150401 (base 9) to base 4. -20131133113 Convert 4234667 (base 11) to base 2. 11100011100111001011000 Convert 123027 (base 15) to base 4. 3110212003 Convert 28b51b (base 14) to base 8. 5312025 Convert -51cb6 (base 16) to base 12. -141a72 -3670934 (base 12) to base 14 -159c076 Convert -44068a (base 11) to base 8. -2536150 What is -2b648a (base 12) in base 13? -1ca4a9 What is 34301433 (base 5) in base 6? 10322541 2a2135 (base 12) to base 3 1100000002212 Convert 503071 (base 9) to base 13. a5544 214647 (base 10) to base 6 4333423 What is 27111024 (base 8) in base 5? 3023113313 Convert 1331849 (base 10) to base 4. 11011022021 What is 3479ce (base 16) in base 10? 3439054 Convert 1324240232 (base 5) to base 14. 633ad1 What is -952bfa (base 16) in base 15? -cd1967 What is 1a0b05 (base 13) in base 6? 22041503 What is -2010020201 (base 4) in base 3? -1000111102002 Convert -26af5e (base 16) to base 6. -130201154 -8936756 (base 10) to base 13 -1b0b92a What is 2211032020 (base 4) in base 10? 676744 Convert 85655 (base 9) to base 2. 1101110101011101 What is -33553240 (base 7) in base 6? -142334031 Convert a9c80 (base 13) to base 11. 1a004a Convert -5222600 (base 7) to base 9. -1155858 What is -852002 (base 13) in base 6? -150453025 What is b04943 (base 12) in base 13? 751806 Convert 64237 (base 9) to base 6. 524354 What is 315302451 (base 6) in base 16? 55153f Convert 1073676 (base 10) to base 3. 2000112210210 Convert 1512544 (base 6) to base 3. 11102222201 What is -c4b2b (base 13) in base 4? -1112102020 What is -3043443023 (base 5) in base 8? -27620032 What is -1000112131303 (base 4) in base 10? -16869235 Convert -123300022 (base 4) to base 14. -2d5d8 What is 433b57 (base 15) in base 3? 20000200101201 -a5b3 (base 13) to base 11 -16284 What is 23528282 (base 9) in base 5? 10414142241 What is 221330223 (base 5) in base 12? 3a615a -275b5e (base 16) to base 13 -6c4013 -112330112 (base 4) to base 6 -2003022 Convert 323a3 (base 11) to base 12. 23299 1877752 (base 10) to base 4 13022123320 Convert -3502767 (base 9) to base 8. -7156506 Convert -33755300 (base 8) to base 11. -4157568 -47948 (base 15) to base 2 -110111101101111010 What is 1b88ca (base 16) in base 3? 10101200021222 Convert 16030153 (base 7) to base 16. 1772d7 Convert 43301a (base 11) to base 16. a8fad -74a46 (base 14) to base 6 -10013050 What is -69932 (base 11) in base 3? -12010110212 What is 4bc2d4 (base 14) in base 2? 1001111100100100010010 Convert -8b1c19 (base 13) to base 16. -322eba What is -242047 (base 12) in base 4? -2032212313 Convert -43d96b (base 14) to base 7. -25404264 What is -33670 (base 16) in base 11? -134204 -1233030031 (base 4) to base 10 -455437 92929c (base 14) to base 5 2231124344 Convert -19b841 (base 14) to base 3. -1201111122212 -828292 (base 10) to base 16 -ca384 What is 41848 (base 12) in base 15? 1a6a5 Convert 11130233 (base 5) to base 2. 11000001000000010 Convert -d7c7a8 (base 14) to base 15. -991782 What is 4221321 (base 7) in base 8? 1743115 Convert -3591 (base 14) to base 8. -22173 Convert 43505232 (base 7) to base 4. 32033113332 What is -46325063 (base 7) in base 15? -55214e -1341143 (base 5) to base 3 -1101221221 What is -633ec (base 15) in base 9? -528706 What is 3443031 (base 8) in base 16? e4619 -1313868 (base 9) to base 13 -1c1aa4 Convert -100233414 (base 5) to base 15. -7d459 What is 11011100001101011000100 (base 2) in base 14? d5b952 676609 (base 13) to base 10 2441890 What is 10132364 (base 7) in base 2? 11001111001000110000 Convert -3989 (base 10) to base 11. -2aa7 Convert -46304553 (base 7) to base 16. -3dd4ae Convert -928d9 (base 14) to base 9. -587182 Convert 1111000000110000110010 (base 2) to base 12. 1399442 Convert 19832a8 (base 12) to base 9. 11135212 Convert -121326 (base 9) to base 12. -36413 What is -1303133242 (base 5) in base 3? -12222102110121 416060 (base 7) to base 15 163be 50145a (base 13) to base 9 3443564 4657654 (base 9) to base 11 1470207 Convert -30243 (base 7) to base 14. -295a What is 10202333 (base 5) in base 8? 245356 Convert -408786 (base 10) to base 3. -202202202020 1002000303 (base 4) to base 11 175167 Convert -201012002211 (base 3) to base 13. -102bb9 Convert 34238 (base 14) to base 13. 45867 Convert 203020110 (base 4) to base 6. 3030100 -5302225 (base 6) to base 7 -2120435 Convert -12289d (base 15) to base 3. -1122011111011 19545 (base 14) to base 12 31161 -3355124 (base 6) to base 5 -20432113 What is -100121112100 (base 3) in base 10? -189198 23188 (base 14) to base 8 246604 What is 1101011010011000100010 (base 2) in base 3? 20121121221221 What is -11010202121 (base 3) in base 9? -133677 What is 2034141 (base 10) in base 12? 8211b9 -517315 (base 8) to base 3 -22201120012 Convert 24664016 (base 7) to base 3. 11012111220102 593531 (base 14) to base 4 23213030113 What is -212110323 (base 4) in base 16? -2653b What is -3075510 (base 9) in base 7? -16655622 What is 22a25 (base 14) in base 7? 500545 What is 79a89 (base 11) in base 7? 661350 What is -405855 (base 11) in base 2? -10011111001001101111 What is 1111100101110100 (base 2) in base 7? 354116 What is -31524654 (base 8) in base 9? -13584205 Convert 9696c (base 15) to base 2. 1110100101100110010 -2fc9b7 (base 16) to base 14 -5b74a3 Convert -2b5b916 (base 12) to base 8. -41544142 Convert 5645722 (base 8) to base 15. 202578 286857 (base 9) to base 2 101010111000101100 What is 1127e (base 16) in base 7? 411604 -21012012200 (base 3) to base 11 -97409 What is 12443242 (base 5) in base 6? 2401514 What is 4b7f5 (base 16) in base 4? 1023133311 -210211121122 (base 3) to base 12 -1888b2 Convert -2124340 (base 6) to base 10. -104676 Convert 592710 (base 15) to base 11. 2450261 Convert 22222200121 (base 3) to base 2. 101011001100011000 3532504 (base 6) to base 15 394d7 Convert bbdc8 (base 16) to base 13. 20c31a What is 83039 (base 15) in base 2? 1100101010111001011 What is -1002110220310 (base 4) in base 11? -98a5428 What is -11110111000010000111011 (base 2) in base 14? -1109dc7 What is -434371 (base 8) in base 11? -9a486 Convert -24303303 (base 8) to base 13. -1150bb6 What is 4520445 (base 6) in base 3? 102121010102 What is 10011022210202 (base 3) in base 4? 12122001302 -101011011000001101010 (base 2) to base 8 -5330152 17c1c40 (base 13) to base 8 35515305 Convert -22011121011020 (base 3) to base 9. -8147136 Convert -1001001010100000000000 (base 2) to base 14. -467692 Convert -c4465 (base 13) to base 12. -14ba47 Convert -4179a0 (base 13) to base 15. -20385d -342a2a (base 13) to base 14 -241b23 Convert 1502321 (base 6) to base 15. 1a794 What is 349b579 (base 12) in base 14? 14c6749 Convert -11010000111101111 (base 2) to base 14. -2adc3 Convert -1006511 (base 7) to base 10. -119960 2423431 (base 6) to base 16 1f34b What is -575399 (base 10) in base 4? -2030132213 Convert -10001011000110010 (base 2) to base 16. -11632 What is -11100100100011001010 (base 2) in base 10? -936138 Convert -2157944 (base 13) to base 8. -46663740 -17898 (base 10) to base 14 -6746 3323013132 (base 4) to base 7 11512521 Convert -1076708 (base 9) to base 6. -20251525 What is 476570 (base 12) in base 3? 2011111202210 4438e (base 15) to base 8 647351 Convert -11959 (base 13) to base 3. -1122101021 Convert -2152200 (base 6) to base 7. -630036 -2dfce4 (base 16) to base 4 -23133303210 -1100000110100010111101 (base 2) to base 15 -42a02b -1940650 (base 11) to base 2 -1100100000110111101101 2024314 (base 5) to base 6 413100 What is -101011212 (base 4) in base 3? -10120000020 -31891 (base 13) to base 16 -15d06 10000010101101111101 (base 2) to base 3 1000012110102 -2407a (base 12) to base 5 -3022403 Convert -222322212312 (base 4) to base 13. -243b886 Convert 110000212000 (base 3) to base 15. 4a27c What is -10210001112 (base 3) in base 8? -221237 613a949 (base 11) to base 13 232b006 Convert 7800
{ "pile_set_name": "DM Mathematics" }
00000606196 How many nanometers are there in sixty-seven fifths of a micrometer? 13400 How many seconds are there in five sixths of a day? 72000 What is 9270.428ml in litres? 9.270428 Convert 0.5474181 days to milliseconds. 47296923.84 How many months are there in 356633.5 years? 4279602 What is sixty-nine halves of a centimeter in millimeters? 345 What is 473.967l in millilitres? 473967 How many millilitres are there in one quarter of a litre? 250 How many micrograms are there in 9.18872 kilograms? 9188720000 How many micrograms are there in seven quarters of a milligram? 1750 How many milligrams are there in one twentieth of a gram? 50 Convert 4.3044066 minutes to days. 0.00298917125 What is seven quarters of a litre in millilitres? 1750 How many months are there in one quarter of a millennium? 3000 Convert 240.682g to milligrams. 240682 How many milliseconds are there in 0.6185366s? 618.5366 What is 49/4 of a meter in millimeters? 12250 What is 5/4 of a litre in millilitres? 1250 What is one quarter of a micrometer in nanometers? 250 What is twenty-one halves of a litre in millilitres? 10500 How many nanoseconds are there in one sixteenth of a millisecond? 62500 What is 845.8762 kilometers in centimeters? 84587620 What is 159.81765 months in millennia? 0.0133181375 How many millilitres are there in 57/5 of a litre? 11400 How many litres are there in 191953.2ml? 191.9532 What is 25/4 of a century in months? 7500 What is 12/25 of a kilometer in meters? 480 What is 3/8 of a kilometer in meters? 375 What is six fifths of a kilometer in meters? 1200 What is eleven tenths of a gram in milligrams? 1100 How many meters are there in 35688.09 nanometers? 0.00003568809 How many seconds are there in 7/16 of a hour? 1575 How many kilometers are there in 6.125103 meters? 0.006125103 What is twenty-six fifths of a centimeter in micrometers? 52000 How many millilitres are there in twenty-seven fifths of a litre? 5400 How many minutes are there in 10/3 of a week? 33600 How many minutes are there in 4/21 of a week? 1920 Convert 83.4041 centuries to millennia. 8.34041 What is 12/25 of a tonne in kilograms? 480 How many grams are there in 15/4 of a kilogram? 3750 How many milligrams are there in 1/4 of a gram? 250 How many millilitres are there in 378.4424 litres? 378442.4 How many hours are there in 4/7 of a week? 96 How many decades are there in 21/4 of a millennium? 525 What is 2.281231g in nanograms? 2281231000 What is one quarter of a centimeter in micrometers? 2500 What is 10790.6526s in days? 0.1248918125 How many milliseconds are there in 5/4 of a second? 1250 How many decades are there in one quarter of a millennium? 25 How many years are there in 1.9197846 months? 0.15998205 What is 1/24 of a week in hours? 7 Convert 369308.9ng to grams. 0.0003693089 How many millennia are there in 20.652141 months? 0.00172101175 What is 0.2554456 litres in millilitres? 255.4456 How many months are there in 562206.9 decades? 67464828 What is one tenth of a milligram in micrograms? 100 How many grams are there in 88629.43 kilograms? 88629430 How many meters are there in 7.468615cm? 0.07468615 What is 59.60163 millennia in decades? 5960.163 Convert 152836.1cm to meters. 1528.361 How many centuries are there in 55059.33 millennia? 550593.3 What is 980.2153ug in tonnes? 0.0000000009802153 Convert 5305.078nm to centimeters. 0.0005305078 How many centimeters are there in 2813.712km? 281371200 What is three tenths of a tonne in kilograms? 300 What is twenty-one eighths of a millennium in months? 31500 Convert 0.0821006nm to meters. 0.0000000000821006 How many seconds are there in five quarters of a minute? 75 What is 21/5 of a litre in millilitres? 4200 What is 4091.943 milliseconds in nanoseconds? 4091943000 How many micrometers are there in 808.1179 centimeters? 8081179 How many millimeters are there in 42/5 of a centimeter? 84 Convert 723.087us to minutes. 0.00001205145 What is fifty-one fifths of a kilogram in grams? 10200 What is 13/4 of a kilometer in meters? 3250 What is 1/5 of a century in months? 240 How many microseconds are there in 2/125 of a millisecond? 16 How many nanometers are there in fifty-seven halves of a micrometer? 28500 How many millilitres are there in 18/5 of a litre? 3600 How many millimeters are there in 3/40 of a meter? 75 How many micrometers are there in one fifth of a centimeter? 2000 How many minutes are there in 4/15 of a week? 2688 How many millimeters are there in 3/10 of a centimeter? 3 How many micrograms are there in 5051.725t? 5051725000000000 Convert 371.2089 litres to millilitres. 371208.9 What is 28/3 of a century in months? 11200 Convert 22108.66 centuries to months. 26530392 What is 1.906464 hours in weeks? 0.011348 What is 34/9 of a day in minutes? 5440 Convert 392.6797 millilitres to litres. 0.3926797 Convert 77.0088 months to centuries. 0.064174 How many centuries are there in 29.58286 millennia? 295.8286 How many hours are there in 51/7 of a week? 1224 What is 14855.12ml in litres? 14.85512 How many years are there in one quarter of a millennium? 250 What is 2/7 of a week in days? 2 What is 6.452387ml in litres? 0.006452387 What is 8943.183 micrograms in nanograms? 8943183 How many minutes are there in 17/4 of a week? 42840 How many hours are there in seven halves of a week? 588 How many millilitres are there in 29/2 of a litre? 14500 What is sixty-one quarters of a week in hours? 2562 Convert 0.48331 litres to millilitres. 483.31 How many minutes are there in 32/7 of a week? 46080 What is thirteen fifths of a microgram in nanograms? 2600 What is 76711.81ug in nanograms? 76711810 What is 0.8118106l in millilitres? 811.8106 How many milligrams are there in 3/10 of a gram? 300 How many tonnes are there in 6.879935 micrograms? 0.000000000006879935 Convert 8182.21mm to centimeters. 818.221 Convert 15209.45l to millilitres. 15209450 How many decades are there in 1.866257 millennia? 186.6257 What is 21/5 of a meter in millimeters? 4200 How many litres are there in 0.4025162 millilitres? 0.0004025162 How many millilitres are there in three fifths of a litre? 600 How many months are there in 75/8 of a century? 11250 What is 6/25 of a litre in millilitres? 240 What is 1/4 of a meter in centimeters? 25 What is 61688.03l in millilitres? 61688030 How many millilitres are there in seven quarters of a litre? 1750 What is 21/2 of a week in hours? 1764 What is fourty-one halves of a meter in centimeters? 2050 Convert 990.516m to nanometers. 990516000000 Convert 129258.3 millennia to decades. 12925830 What is 162898.1 decades in years? 1628981 What is fourty-three halves of a year in months? 258 What is eleven quarters of a day in minutes? 3960 What is 13102.29 decades in years? 131022.9 What is 38297.1 minutes in nanoseconds? 2297826000000000 What is one tenth of a meter in millimeters? 100 Convert 9351893.88 microseconds to weeks. 0.0000154627875 What is 6/25 of a day in seconds? 20736 Convert 55749.3 millilitres to litres. 55.7493 How many nanometers are there in 23.36085 micrometers? 23360.85 How many millimeters are there in three fifths of a meter? 600 What is 13/8 of a millisecond in microseconds? 1625 What is 0.4875139ml in litres? 0.0004875139 What is 230.4075 nanometers in millimeters? 0.0002304075 What is 5/4 of a meter in millimeters? 1250 How many months are there in 11/8 of a century? 1650 How many minutes are there in 17/4 of a day? 6120 What is one quarter of a tonne in kilograms? 250 What is 13/5 of a kilogram in grams? 2600 Convert 0.786204 months to years. 0.065517 How many hours are there in 5/6 of a day? 20 What is 66655.38 days in microseconds? 5759024832000000 Convert 1504.107nm to centimeters. 0.0001504107 Convert 7.943765 millilitres to litres. 0.007943765 What is 3/50 of a litre in millilitres? 60 How many micrograms are there in six fifths of a milligram? 1200 How many millilitres are there in one twentieth of a litre? 50 How many minutes are there in twenty-seven quarters of a week? 68040 How many months are there in 7/2 of a decade? 420 What is twenty-one quarters of a gram in milligrams? 5250 What is eleven tenths of a microsecond in nanoseconds? 1100 How many micrograms are there in 1/20 of a milligram? 50
{ "pile_set_name": "DM Mathematics" }