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2 + l. Let y(o) = 19*o - d*o - o - 5*o. Let s(t) = -t**2. Give y(s(p)). -11*p**2 Let s(x) = -3267*x + 5855*x - 2909*x. Let y(a) = -a. What is y(s(o))? 321*o Let p(n) = 2*n + 15. Let b(f) = -277*f + 36536. Calculate p(b(r)). -554*r + 73087 Let v(x) = 45*x - 1138. Let y(q) = -72*q**2 - 1. Give v(y(b)). -3240*b**2 - 1183 Let q(x) be the first derivative of -127*x**3/3 - 4954. Let f(g) = -4*g**2 + 3. Calculate q(f(u)). -2032*u**4 + 3048*u**2 - 1143 Let d(o) = -2*o**2 + 8*o + 41. Let l(b) = -38*b. Determine d(l(q)). -2888*q**2 - 304*q + 41 Let k(h) = 52643880*h**2. Let o(i) = -4*i. Calculate o(k(v)). -210575520*v**2 Let r(l) = -51*l**2. Let y = -326 + 328. Let i(x) = 3004 + y*x - 3004. Calculate i(r(m)). -102*m**2 Let x(m) = m. Let r(q) = -20*q + 2187. Let s be r(109). Let w(f) be the first derivative of 5/3*f**3 - s + 0*f**2 + 0*f. Give x(w(a)). 5*a**2 Let k(h) be the second derivative of -7549 - h**3 + 7549 + 10*h. Let n(q) = -4*q - 3*q + 4*q - q. Give k(n(g)). 24*g Let g(j) = 106*j - 10 + 108*j + 106*j + 111*j - 434*j. Let n(c) = 19*c**2. What is g(n(d))? -57*d**2 - 10 Let y(p) = p + 1399. Let a(u) = 441*u + 19. Determine y(a(r)). 441*r + 1418 Let b(f) = -87*f**2 + 308. Let n(h) = -34*h**2. What is b(n(i))? -100572*i**4 + 308 Let i(o) be the third derivative of 0*o**3 - 59*o**2 + 0 + 1/6*o**4 + 0*o. Let f(g) = -6*g. Give i(f(k)). -24*k Let n(x) = x. Let q(h) be the third derivative of h**8/5040 - h**5/60 + 15*h**3/2 + 48*h**2. Let p(a) be the third derivative of q(a). Calculate p(n(j)). 4*j**2 Let l(w) = 2 + 2 + 4*w - 4. Let q(h) = -13*h**2 - h + h**2 + 6*h - h**2. Let y(s) = -32*s**2 + 12*s. Let b(d) = 12*q(d) - 5*y(d). Calculate l(b(p)). 16*p**2 Let m(o) = 12837041*o. Let c(x) = -x. Determine c(m(j)). -12837041*j Let f(h) = -63*h + 5*h**2 + 14*h**2 - 3*h**2 + 3*h - 15*h**2. Let o(v) = 10*v. Give f(o(x)). 100*x**2 - 600*x Let n(t) = -88*t. Let k(a) be the third derivative of -11*a**5/60 - 49*a**2 + a + 27. Calculate k(n(z)). -85184*z**2 Let n(f) = 3*f + 171. Let p(u) = -3*u**2 + u**2 + 12*u**2 - 5*u**2 - 6*u**2. Calculate n(p(h)). -3*h**2 + 171 Let a(h) = -176495*h. Let l(d) = -3908*d**2. Give l(a(f)). -121736095477700*f**2 Let w(z) = z. Let j(l) be the first derivative of -9*l**2/2 + 20*l - 1232. Calculate j(w(c)). -9*c + 20 Let h(i) = 5*i. Let f(p) = 241 - 241 + 7*p. Let v(z) = 4*f(z) - 6*h(z). Let b(k) = -2*k**2 - 2*k. Calculate b(v(n)). -8*n**2 + 4*n Let v(t) be the second derivative of t**3/3 + 37*t. Suppose 0 = 5*m - 16 + 11. Let d(p) = m - 11 + 55*p + 10. Calculate d(v(z)). 110*z Let j(g) = -g**2 + 13*g. Let s(i) = -6*i. Let u(a) = 6*j(a) + 13*s(a). Let x(m) be the second derivative of m**3/2 + 2912*m. Give x(u(p)). -18*p**2 Suppose -b + 4*a + 3 = 4*b, 3*b - 6 = a. Let n(k) = 2*k + 4*k - b*k - 4*k. Let r(o) = 48*o. What is r(n(x))? -48*x Let d(v) = -2*v**2 - 5*v. Let a(h) = -92*h + 203. What is d(a(k))? -16928*k**2 + 75164*k - 83433 Let d(i) be the second derivative of i**3/6 + 419*i + 15. Let g(o) = -1 + 1 - 33*o**2. Determine d(g(c)). -33*c**2 Let f(x) = 3*x. Let y(w) = 55*w + 19235. What is f(y(n))? 165*n + 57705 Let i(n) = -316*n - 54*n - 161*n + 113*n + 154. Let o(d) = 11*d - 4. Let x(r) = 4*i(r) + 154*o(r). Let f(w) = 6*w. Calculate x(f(c)). 132*c Let c(v) = 7063668*v. Let y(i) = 2*i. Calculate y(c(j)). 14127336*j Let u(m) = 3*m. Let r(a) = 3*a**2 + 24*a - 303. Let p(y) = 7*y**2 + 54*y - 606. Let t(n) = 4*p(n) - 9*r(n). Calculate t(u(f)). 9*f**2 + 303 Let v(o) = -3*o + 179. Let w(h) = -4*h - 1868. Give v(w(a)). 12*a + 5783 Let t(o) = 2*o. Let u(v) = 7*v**2 + 6700*v - 119. Determine u(t(n)). 28*n**2 + 13400*n - 119 Let u(k) be the third derivative of -5*k + 0 - 13*k**2 + 1/24*k**4 + 79/3*k**3. Let o(y) = -2*y. Determine o(u(f)). -2*f - 316 Let s(d) = 2*d - 132. Let p(t) = 2*t + 128422 - 256830 + 128411. Calculate p(s(b)). 4*b - 261 Let s(c) = 10*c - 32. Let b(t) = -901*t**2 - 13*t. What is s(b(i))? -9010*i**2 - 130*i - 32 Let z(k) = k - k + 13*k**2. Let f(u) be the first derivative of -8*u**3/3 + 19959. Give f(z(p)). -1352*p**4 Let y(x) = 24717*x. Let q(l) = 1496*l. What is y(q(g))? 36976632*g Let g(d) = 3 - d - 3. Let s(l) be the first derivative of -2/3*l**3 + 0*l**2 - 174 + 0*l. What is s(g(r))? -2*r**2 Let v(b) = -54*b. Let i(g) be the second derivative of g**7/840 + 23*g**4/3 + g**2 - 20*g - 2. Let o(q) be the third derivative of i(q). What is v(o(h))? -162*h**2 Let j(i) be the first derivative of -2*i**3/3 - 225. Let c(m) = 704*m**2. Give c(j(l)). 2816*l**4 Let j(f) = -13*f + 3*f - 5666 + 5666. Let x(q) = -9*q**2 + 2. What is j(x(v))? 90*v**2 - 20 Let g(x) = -3904*x. Let b(l) = -23*l - 16. Give g(b(d)). 89792*d + 62464 Let v(a) = 16*a**2 + 13*a. Let y(s) = 4*s**2 + 3*s. Let q(m) = -6*v(m) + 26*y(m). Let k(l) be the first derivative of -1/2*l**2 + 0*l - 57. Calculate k(q(b)). -8*b**2 Let t(q) = 13*q**2 - 95*q + 8. Let k(w) = -107*w**2. What is t(k(a))? 148837*a**4 + 10165*a**2 + 8 Let l(s) = 2122*s + 3. Let u(m) = -4*m**2 - 192. Give l(u(r)). -8488*r**2 - 407421 Let a(q) = -q. Let i(h) = 3828*h**2 + 8*h + 3. Give a(i(n)). -3828*n**2 - 8*n - 3 Let m(t) be the third derivative of t**4/24 - 147*t**3/2 + 3527*t**2 - 2*t. Let r(n) = -n. What is m(r(l))? -l - 441 Let a(w) = 40*w**2. Let r(h) be the third derivative of -7*h**5/120 - 122*h**3/3 - 2*h**2 - 40*h. Let v(s) be the first derivative of r(s). Give v(a(n)). -280*n**2 Let i(o) = -84*o - 328. Let d be i(-12). Let f(t) = -680*t + 30*t**2 + d*t. Let v(b) = -14*b**2. What is v(f(c))? -12600*c**4 Let f(k) = -126*k**2 - 2816*k. Let w(r) = -15*r. Determine f(w(t)). -28350*t**2 + 42240*t Let z(u) = 591*u. Let n(m) = -614*m**2 - 1 + 4 + 611*m**2 - 3. What is n(z(i))? -1047843*i**2 Let s(g) = -98*g**2 + 124*g**2 - 33*g**2 - 80*g**2 - 51*g**2. Let w(t) = 3*t**2. Determine s(w(l)). -1242*l**4 Let v(b) be the first derivative of 19*b**2/2 - 131. Let i(g) = 2*g - 2*g - 105*g**2 + 110*g**2. Calculate i(v(d)). 1805*d**2 Let n(s) = 19*s**2 + 3. Let t(o) be the second derivative of o**4/12 - 513*o + 2. Give t(n(w)). 361*w**4 + 114*w**2 + 9 Let x(v) = v**2 + 36*v - 34. Let j be x(-37). Let h(z) = 605 + 607 - 1212 - j*z**2. Let m(f) = 3*f**2 + 2*f. What is h(m(b))? -27*b**4 - 36*b**3 - 12*b**2 Let c(x) = -10*x - 272. Let g(a) = -3*a - 3371. Calculate c(g(q)). 30*q + 33438 Let i(h) = -h. Let f(o) = -26484916*o. What is f(i(d))? 26484916*d Let n(a) be the first derivative of a**3/3 - 377. Let i(s) = 557*s. Calculate i(n(v)). 557*v**2 Let x(z) = 1242*z - 610*z - 596*z. Let n(r) = -22*r. Determine x(n(h)). -792*h Suppose -12*l - 5*u = -7*l - 5, 4*l + 3*u - 5 = 0. Let g(a) be the first derivative of 0*a**l - 2/3*a**3 - 32 - 21*a. Let n(w) = -w**2. Give n(g(j)). -4*j**4 - 84*j**2 - 441 Let p(c) = 5*c**2 + 6*c + 6. Let r(j) = 13*j**2 + 17*j + 17. Let w(m) = 17*p(m) - 6*r(m). Let x(v) = -44*v**2 - 1. Determine w(x(g)). 13552*g**4 + 616*g**2 + 7 Let t(p) = -42*p**2 - p - 230. Let f(n) = -27*n - 3. What is f(t(i))? 1134*i**2 + 27*i + 6207 Suppose -9*d = -7*d - 94. Let l(p) = d - 100 + 53 - 57*p. Let z(o) = 4*o**2. Determine z(l(n)). 12996*n**2 Let h(l) = 9*l**2. Suppose -1 = 3*x - 16, 3*w + 4*x - 104 = 0. Let t(z) = w + 32 - 60 + z**2. Give h(t(u)). 9*u**4 Suppose 40 = -40*k + 120. Let x(u) = -12*u**2 - 5*u**k - 4*u**2 + 20*u**2. Let w(i) = -62*i**2. Give x(w(v)). -3844*v**4 Let k(p) be the first derivative of p**2/2 - 25. Suppose -3*l + 80 = 2*l. Let n(m) = -57 - l*m**2 + 57. What is n(k(u))? -16*u**2 Let a(i) = -13*i - 2*i + 3*i. Let s(o) = -3*o + 2. Let m be 9/(27/(-2)) - 40/(-6). Let t(k) = 15*k - 12. Let g(v) = m*s(v) + t(v). Give g(a(p)). 36*p Let n(c) = 80*c**2 + 82*c**2 + 90*c**2 - 253*c**2. Let b(d) = -2*d**2 - 62*d + 2*d**2 - 2*d**2. Determine n(b(p)). -4*p**4 - 248*p**3 - 3844*p**2 Let t(f) = 10*f - 5 + 5. Let h(s) = -13*s**2 - 3*s + 3*s - 204*s**2 + 214*s**2. Calculate h(t(p)). -300*p**2 Suppose -39*u + 2 = -37*u. Suppose -d - u = 0, -3*a + 3*d = 6*d - 3. Let g(x) = -9*x**a + 4*x**2 + 7*x**2. Let v(n) = -9*n**2 + 2. Determine g(v(p)). 162*p**4 - 72*p**2 + 8 Let s(h) = 12*h**2. Let m(t) be the third derivative of t**5/24 + 4*t**3/3 - 20*t**2 + 2*t. Let b(q) be the first derivative of m(q). Give b(s(n)). 60*n**2 Suppose 2*h = 2*m - 6, 3*h + 3 = -m + 2. Let c(v) = -26*v**m - 21*v**2 + 30*v**2.
{ "pile_set_name": "DM Mathematics" }
h - 4. Let k be (-8)/6*(-3)/2. Factor 1/4 - 3/4*u**k - 1/2*u**4 + 1/4*u - 5/4*u**s. -(u + 1)**3*(2*u - 1)/4 Suppose -2*s + z + 121 = -4*z, -3*z = -5*s + 293. Let u = s + -56. Factor b - 1/2*b**u - 1/2. -(b - 1)**2/2 Let r = 1313 - 17065/13. Determine b, given that 0*b + 0*b**3 + 2/13*b**4 + 2/13 - r*b**2 = 0. -1, 1 Let y(t) be the second derivative of t**4/18 + 424*t**3/9 + 44944*t**2/3 + 708*t. Find x such that y(x) = 0. -212 Suppose 0 = -y + 4*y - 15. Factor -8*g**2 + 2*g**y + 3*g**5 - 4*g**3 + 0*g**5 - g**5 + 8*g**4. 4*g**2*(g - 1)*(g + 1)*(g + 2) Let w(d) be the third derivative of -3*d**6/10 + 7*d**5/15 + d**4/3 + 151*d**2. Let w(o) = 0. Calculate o. -2/9, 0, 1 Let q(j) be the first derivative of -j**6/30 + 3*j**5/5 - 9*j**4/2 + 18*j**3 - 3*j**2/2 + 11. Let g(b) be the second derivative of q(b). Factor g(v). -4*(v - 3)**3 Suppose -25 = 4*g - 4*i - 53, 3*g - 25 = 4*i. Let m(t) be the first derivative of 2/3*t**g - 6*t - 10 - 2*t**2. Find a, given that m(a) = 0. -1, 3 Let r = 37/1302 + 4/93. Let m(t) be the third derivative of 1/2*t**5 + 2*t**2 + 1/2*t**3 + 1/112*t**8 + 5/8*t**4 + 1/4*t**6 + 0 + 0*t + r*t**7. Factor m(c). 3*(c + 1)**5 Let q be (1 + (-15)/25)*354/(-4). Let t = -35 - q. Factor 2*j**3 + 0*j + 8/5*j**4 + 0 + t*j**5 + 4/5*j**2. 2*j**2*(j + 1)**2*(j + 2)/5 Let p(q) be the second derivative of q**6/90 + q**5/15 + q**4/6 - 9*q**3/2 - 19*q. Let k(r) be the second derivative of p(r). Determine u, given that k(u) = 0. -1 Let k(x) be the first derivative of 1/8*x**2 + 1/2*x - 1/12*x**3 - 3. Suppose k(y) = 0. Calculate y. -1, 2 Suppose -4 = r + 4*z, -3 = -1448*r + 1446*r + 3*z. Factor r - 2/15*q + 2/15*q**2. 2*q*(q - 1)/15 Let d(w) = 32*w**2 - 288*w - 11. Let p(k) = -6*k**2 + 58*k + 2. Let x(h) = -2*d(h) - 11*p(h). Factor x(u). 2*u*(u - 31) Let w(t) = t**2 + 17*t - 138. Let n be w(6). Factor n - 3/7*b**3 + 2/7*b + 1/7*b**5 - 1/7*b**2 + 1/7*b**4. b*(b - 1)**2*(b + 1)*(b + 2)/7 Factor -32/13*b**2 + 0*b - 2/13*b**3 + 0. -2*b**2*(b + 16)/13 Let c(t) be the first derivative of -3*t**5/25 + 9*t**4/20 - 3*t**3/5 + 3*t**2/10 + 20. What is i in c(i) = 0? 0, 1 Let a = 1590/13 + -47687/390. Let u(r) be the first derivative of 0*r**4 - 1/18*r**3 + 13 + a*r**5 + 0*r + 0*r**2. Factor u(p). p**2*(p - 1)*(p + 1)/6 Let t(x) be the second derivative of 9*x - 3/50*x**5 - 1/10*x**4 + 1/70*x**7 + 1/50*x**6 + 0 + 1/10*x**3 + 3/10*x**2. Find f, given that t(f) = 0. -1, 1 Let w(c) = 14*c**4 - 16*c**3 - 4*c**2 + 6*c + 5. Let a(z) = 69*z**4 - 78*z**3 - 21*z**2 + 30*z + 24. Let x(d) = 5*a(d) - 24*w(d). Solve x(t) = 0. -1, 0, 2/3, 1 Let q(d) = -7*d + 2 + 6*d - 13. Let a be q(-13). Factor -1 - 1 - 8*z + 7*z + 10*z**a. (2*z - 1)*(5*z + 2) Let z(u) be the first derivative of 2*u**3/21 + 176*u**2/7 + 15488*u/7 - 472. Factor z(a). 2*(a + 88)**2/7 Let c = -142 - -714/5. Suppose -c*y**2 + 1/5*y**5 + 0 + 3/5*y**4 + 0*y + 0*y**3 = 0. What is y? -2, 0, 1 Suppose 0 - 4/9*i**4 + 4/9*i**2 + 164/9*i - 164/9*i**3 = 0. What is i? -41, -1, 0, 1 Let w be ((-2)/4)/((-5)/(10 + -5)). Factor 5*f - 25/2 - w*f**2. -(f - 5)**2/2 Let f(x) be the third derivative of x**9/90720 - x**8/3780 + x**7/1080 - 7*x**5/15 - 21*x**2. Let s(v) be the third derivative of f(v). Factor s(b). 2*b*(b - 7)*(b - 1)/3 Let w(z) = z**2 - 8. Let c be w(0). Let p = 10 + c. Factor 4 - 4 - 2*o**2 + p*o. -2*o*(o - 1) Let n = 705/2 - 352. Let h(o) be the second derivative of 6*o + 11/12*o**4 + 1/4*o**5 + 0 + 7/6*o**3 + n*o**2. Solve h(k) = 0 for k. -1, -1/5 Suppose -3/7*s**2 - 16875/7 - 450/7*s = 0. Calculate s. -75 Let y = -39 + 43. Let h be (0 - y/(-8))*0. Factor -16/9*t**3 - 8/9*t**2 + 0*t - 2/9*t**5 - 10/9*t**4 + h. -2*t**2*(t + 1)*(t + 2)**2/9 Let r(n) be the first derivative of -34/21*n**3 + 16/7*n**2 + 3/7*n**4 - 10/7*n + 31. Factor r(g). 2*(g - 1)**2*(6*g - 5)/7 Let -11/2*b - 3 - 3/2*b**2 = 0. What is b? -3, -2/3 Let t = -9 - -14. Determine r, given that -t*r - 25*r**2 - 21*r - 5*r**3 + 8*r - 20 - 22*r = 0. -2, -1 Let v(a) be the third derivative of -3*a**6/20 + 47*a**5/30 + 11*a**4/3 - 4*a**3 + 10*a**2 + a. Factor v(y). -2*(y - 6)*(y + 1)*(9*y - 2) Let l(r) = -r**3 + 5*r**2 + r - 11. Let n be l(3). Let h = -7 + 11. Factor -1 - 3*b**h - n*b**3 - 5*b - 2*b**4 - 10*b**2 + b**5 + 0*b**5 - 2*b**5. -(b + 1)**5 Let i(q) be the third derivative of -q**6/120 + q**5/3 - 3*q**4/4 - 8*q**3/3 - q**2. Let g be i(19). Find j such that 1/2*j**4 + j**g - 2*j + 2 - 3/2*j**2 = 0. -2, 1 Find q, given that -24/13*q + 16/13 + 12/13*q**2 - 2/13*q**3 = 0. 2 Suppose 88/9*m + 64/3 - 4/9*m**2 = 0. What is m? -2, 24 Let -91*c**4 + 0 - 753571*c**2 - 1/4*c**5 - 24843/2*c**3 - 68574961/4*c = 0. What is c? -91, 0 Solve 2*n**2 + 0*n**2 - 12 + 16*n**3 - 4*n**3 - 4*n - 8*n**3 + 10*n**2 = 0. -3, -1, 1 Let o(k) be the second derivative of 0 + 0*k**2 + 21*k + 0*k**3 - 3/40*k**5 + 1/12*k**4 + 1/60*k**6. Let o(p) = 0. What is p? 0, 1, 2 Let x(z) be the second derivative of 0*z**2 - 12*z - 3/2*z**4 + 0 + 2/3*z**3. Factor x(o). -2*o*(9*o - 2) Let f(d) be the first derivative of d**4/5 - 4*d**3/15 - 4*d**2 - 32*d/5 - 45. Determine m, given that f(m) = 0. -2, -1, 4 Suppose 60 = 2*s + 3*s. Suppose 6 - s = -3*i. Factor -77/2*q**2 + 49/2*q**3 + 16*q - i. (q - 1)*(7*q - 2)**2/2 Let d = -497 + 500. Let s(o) be the first derivative of 4 + 1/9*o**d + 4/3*o - 2/3*o**2. What is q in s(q) = 0? 2 Let k(m) be the third derivative of m**6/1020 + m**5/85 - 5*m**4/68 + 8*m**3/51 - 6*m**2. What is x in k(x) = 0? -8, 1 Let l(h) be the first derivative of -2 - 6*h**2 + h**4 - 1/5*h**5 - 9*h + 2/3*h**3. Factor l(a). -(a - 3)**2*(a + 1)**2 Let j(z) be the first derivative of 1/20*z**5 + 0*z - 1/180*z**6 - 1/6*z**4 + 3*z**3 + 4 + 0*z**2. Let h(w) be the third derivative of j(w). Factor h(s). -2*(s - 2)*(s - 1) Let b(m) be the second derivative of m**5/360 + 5*m**4/144 + m**3/9 - 49*m**2/2 - 25*m. Let t(p) be the first derivative of b(p). Find w, given that t(w) = 0. -4, -1 Let u(w) be the first derivative of w**3/3 - 20*w**2 + 675. Factor u(l). l*(l - 40) Let p = -932 + 934. Let b(m) be the first derivative of 2/9*m**2 + p + 0*m**4 + 0*m - 2/45*m**5 + 2/9*m**3. Find d such that b(d) = 0. -1, 0, 2 Let h(b) = -2*b + 38. Let r be h(18). Solve -14*o**2 + 17*o**r + 12*o**2 - 5*o**3 = 0. 0, 3 Let k(f) be the third derivative of f**6/320 + 3*f**5/160 - f**4/16 + 12*f**2 + 7*f. Let k(t) = 0. What is t? -4, 0, 1 Factor -8*f**3 + 20*f**4 + 14*f**5 - 22*f**5 - 4*f**2 - 4*f**3 + 4*f. -4*f*(f - 1)**3*(2*f + 1) Let a be 12/18 + 2/(-12). Let o(z) = z**2 + 2*z - 61. Let n be o(-9). Factor -a*i**n - 4*i - 8. -(i + 4)**2/2 Let x(l) be the second derivative of -l**7/105 + 4*l**5/25 - l**4/5 - 7*l**3/15 + 6*l**2/5 - 6*l - 2. Find s, given that x(s) = 0. -3, -1, 1, 2 Suppose -296*o = -291*o - 10. Find i such that -i**o - 2/5*i + 1/5*i**4 - 3/5*i**3 + 1/5*i**5 + 0 = 0. -1, 0, 2 Factor 1/5*v**2 + 1/5*v - 4. (v - 4)*(v + 5)/5 Let c(z) be the second derivative of 2*z**2 - 12*z - z**4 + 0 + 0*z**3 + 2/5*z**5. Factor c(o). 4*(o - 1)**2*(2*o + 1) Let s be (3/3 + -1)/(-3). Let p(m) be the first derivative of s*m**2 + 0*m**3 - 1/5*m**4 - 1/5*m**6 - 2 + 0*m - 2/5*m**5. Factor p(i). -2*i**3*(i + 1)*(3*i + 2)/5 Let n(t) be the third derivative of -t**9/241920 - t**8/40320 - t**7/20160 + t**5/20 - 10*t**2. Let z(q) be the third derivative of n(q). Factor z(d). -d*(d + 1)**2/4 Let q(f) = -f**2 + 3. Let s(b) = -2*b**2 - 10*b + 24. Let i(c) = 4*q(c) - s(c). Factor i(k). -2*(k - 3)*(k - 2) Let j(b) be the second derivative of -13/60*b**5 + 2*b**2 + 1/6*b**4 + 7*b + 0 + 2/3*b**3 + 1/24*b**6. Let d(w) be the first derivative of j(w). Factor d(f). (f - 2)*(f - 1)*(5*f + 2) Let k = -9279 + 64965/7. Factor 8/7*g**4 + k*g**3 - 4/7*g**5 + 0 + 0*g**2 + 0*g. -4*g**3*(g - 3)*(g + 1)/7 Find i such that -4*i**4 + 1372*i - 588*i**2 + 149 - 149 + 87*i**3 - 3*i**3 = 0. 0, 7 Let b(g) = 54*g + 108. Let f be b(-2). Find j such that 0 - 2/5*j**3 + 0*j + f*j**4 + 0*j**2 + 2/5*j**5 = 0. -1, 0, 1 Solve 32*c**2 + 1 + 16*c + 4 - 6*c - 27*c**2 = 0. -1 Let d(x) be the third derivative of 0*x**3 + 0 - 1/50*x**5 + 1/100*x**6 - 3*x**2 + 0*x + 1/75*x**7 - 1/30*x**4 + 1/280*x**8. What is o in d(o) = 0? -1, 0, 2/3 Suppose -m - 5*h + 24 = -15, -5*m = 4*h - 174. Let n = m - 32. Factor -19*b**2 - 2*b**4 + 21*b**n - 6*b + 0*b**4 + 6*b**3. -
{ "pile_set_name": "DM Mathematics" }
857*r + 20060 = 2621*r for r. -85 Solve -1314 = -29*o + 1303 + 46 - 198 for o. 85 Solve -89*p = -422 - 1291 - 1491 for p. 36 Solve 10592*i + 72369 = -425455 for i. -47 Solve -500*x + 12292 - 4071 = -5779 for x. 28 Solve -29255*a + 27999*a = 69080 for a. -55 Solve -7*z = -101*z + 189*z + 185*z - 16800 for z. 60 Solve 9990 = 56454*n - 55344*n for n. 9 Solve 0*c + 6369 = -7*c - 70*c - 116*c for c. -33 Solve -9544 - 9613 = 108*c - 19913 for c. 7 Solve -253*q + 594*q - 9099 = -670*q for q. 9 Solve -39969*n + 39631*n = -1601 + 487 - 238 for n. 4 Solve -3336*y + 4699*y = -36801 for y. -27 Solve -7629 = -589*c + 14753 for c. 38 Solve 2617*j - 1617*j + 377365 = 3290*j + 3025*j for j. 71 Solve -11463*l = -11829*l - 42456 for l. -116 Solve 273 = 87*h + 623 + 223 + 1689 for h. -26 Solve 2047*v + 981*v + 8493 = -171*v + 43682 for v. 11 Solve -935 + 307 - 334 = -74*f for f. 13 Solve 0 = 1751*j + 1733*j - 6968 for j. 2 Solve 70*w - 379*w + 3666 + 1872 = 614*w for w. 6 Solve 0 = -355*w + 34274 - 43859 for w. -27 Solve 245238 - 248121 = 93*u for u. -31 Solve 348 = -769*o + 1469*o - 729*o for o. -12 Solve -1367*j + 3799 = -1498*j for j. -29 Solve 4*v + 373*v + 6806 + 4678 = 29*v for v. -33 Solve 396*p - 5726 = 11514 + 1372 for p. 47 Solve 1026*l - 51402 = -292*l for l. 39 Solve 83149 + 113503 + 64573 = 6554*f + 18727 for f. 37 Solve -134*n + 614*n + 204*n + 513*n + 107730 = 0 for n. -90 Solve 0 = -172*k - 329557 + 319581 for k. -58 Solve 947*l - 8103 = 11784 for l. 21 Solve -640*m - 3346791 = 327*m - 3330352 for m. -17 Solve 2112974*x - 2113058*x + 756 = 0 for x. 9 Solve 1392*g = -7917 - 19923 for g. -20 Solve 0 = 1302*b - 510*b - 11088 for b. 14 Solve 25*d - 3478 = 11*d + 25*d + 36*d for d. -74 Solve 0 = -142*h - 667 - 1286 - 9549 for h. -81 Solve 1471*g - 323*g - 21800 = 16084 for g. 33 Solve 10660 = 163*j - 404*j + 57*j + 20*j for j. -65 Solve -476*w = -1279*w + 462*w + 443*w - 4386 for w. 43 Solve 830*x = 1580*x - 822*x + 144 for x. 2 Solve -23*d - 42*d + 53*d = -60 for d. 5 Solve -5649 = -248*y - 108*y + 87*y for y. 21 Solve -135648 = 16909*l - 15496*l for l. -96 Solve -8080 = -476*p - 1892 for p. 13 Solve -8170 + 18779 = 1468*y - 53983 for y. 44 Solve 170*a = -3579 + 3297 - 9578 for a. -58 Solve 26280 - 184336 = -4210*t + 1924 for t. 38 Solve 4651*x + 315*x + 1191150 = -414*x - 2561*x for x. -150 Solve 2729*k - 19728*k + 65056 = -1107875 for k. 69 Solve 6050 = -207*b - 2644 for b. -42 Solve -3552*b - 250*b + 3736 = -203530 - 55072 for b. 69 Solve -7956 = -2695*t + 24384 for t. 12 Solve 0 = 141*m + 291869 - 303290 for m. 81 Solve 1407*k + 2269 = -545 for k. -2 Solve -6376 = 4*d - 38*d - 59*d - 982 for d. 58 Solve 1895*u + 47120 = -533*u + 644*u + 606*u for u. -40 Solve 3*d + 9*d + 7069 + 8180 = -209*d for d. -69 Solve 192962*z = 192915*z + 1222 for z. 26 Solve -t + 14*t - 25747 = -25747 for t. 0 Solve 1816 = 28*m + 332 for m. 53 Solve 1072174*f = 1072246*f + 648 for f. -9 Solve 75*u + 49521 = -23*u + 58243 for u. 89 Solve -1586*u + 17331 = -4873 for u. 14 Solve -4680 - 3234 = 171*t + 2175 for t. -59 Solve 161*r + 14356 - 1706 = -22*r - 47*r for r. -55 Solve -4398 = -75*z + 1227 for z. 75 Solve 915 = 37*y + 1656 - 926 for y. 5 Solve 217*m + 62*m = -143*m - 37083 - 8493 for m. -108 Solve -108*v = -112*v + 233*v - 17175 for v. 75 Solve 108*c + 4218 + 1270 = -88*c for c. -28 Solve 41*a - 3361 + 704 - 4009 = -60*a for a. 66 Solve -2421499 = 12*y - 2421631 for y. 11 Solve -35792*o + 163 = -35784*o + 499 for o. -42 Solve -13447 + 4710 + 446 = -345*c + 14479 for c. 66 Solve -2596*r + 218*r - 54694 = 0 for r. -23 Solve 3*t + 2537*t - 53340 = 0 for t. 21 Solve 7732*i - 1702 = 7686*i for i. 37 Solve -43*v - 15491 = -15190 for v. -7 Solve 422*g + 51263 = -2331 for g. -127 Solve -13350 = 117670*h - 118872*h + 46750 for h. 50 Solve -469*n + 661*n = -19392 for n. -101 Solve -28723*d = -28574*d + 3278 for d. -22 Solve 224*s - 418 + 3946 + 1938 + 806 = 0 for s. -28 Solve 0 = -5086*h + 119396 + 278086 + 126376 for h. 103 Solve 87*q + 451*q = -4845*q + 78*q + 376655 for q. 71 Solve -644*q + 207*q + 35 = 215*q + 13075 for q. -20 Solve 59798 = -50*k + 61398 for k. 32 Solve -2931*x = 3376*x - 616*x - 227640 for x. 40 Solve -1867 + 3177 = -159*k + 2105 for k. 5 Solve -5100*q + 951*q - 315588 = -740*q + 4105*q for q. -42 Solve 232*y - 120*y - 13840 = -234*y for y. 40 Solve -28625*r = -28572*r - 3657 for r. 69 Solve 12898*g - 707842 = 2444*g + 578000 for g. 123 Solve 51780*n - 2327 = 51867*n + 1327 for n. -42 Solve 1463*d + 95683 + 226977 = -2763*d - 167556 for d. -116 Solve -3078*y = 3051*y - 6111*y - 702 for y. 39 Solve 81*l + 37*l - 1664 = -214*l - 84*l for l. 4 Solve -1080*z = -2219*z + 1060*z - 711 for z. -9 Solve -42*w - 1850 = -174*w + 2374 for w. 32 Solve 19558*z - 15708 = 19327*z for z. 68 Solve -14244*h - 1476534 = -31413*h for h. 86 Solve -293501 = -113*w - 295083 for w. -14 Solve -69*z = -z + 2*z + 543 + 2327 for z. -41 Solve 491*t + 327*t + 124664 - 10144 = 0 for t. -140 Solve 584*s - 13543 + 135088 = -1081*s for s. -73 Solve -38*n - 150*n + 3617 - 11612 = 7*n for n. -41 Solve -2188*f = -2162*f - 510 - 114 for f. 24 Solve 29*i + 57*i - 2*i - 1110 = 10*i for i. 15 Solve 14875 = 86*w - 32*w + 77*w - 6*w for w. 119 Solve -8945*v + 9277*v + 18592 = 0 for v. -56 Solve 124*t + 7642 - 1938 = 0 for t. -46 Solve -689*g - 7077 = 8274 - 2949 for g. -18 Solve 74903 = -3757*o - 3606 - 118466 - 141155 for o. -90 Solve -38540 = -133*d - 37609 for d. 7 Solve 780*o - 849*o = -4209 for o. 61 Solve 1355232*a - 1355045*a - 17952 = 0 for a. 96 Solve -58812 = 1771*y - 42873 for y. -9 Solve 0 = 74*h - 5216*h + 395934 for h. 77 Solve 19362 = -1160*u - 10798 for u. -26 Solve -4755*v - 70382 + 11979 = 55717 for v. -24 Solve -132 = -37*m - 97*m - 997 - 877 for m. -13 Solve 80457 = -10*k + 80407 for k. -5 Solve 48*a + 183*a + 12*a = -3402 for a. -14 Solve 2189*j - 100352 + 14981 = 0 for j. 39 Solve -148*c - 18003 + 17559 = 0 for c. -3 Solve 71*a = 379*a - 125*a + 5490 for a. -30 Solve -89*k + 113 + 511 = -711 for k. 15 Solve -5530*f - 259440 = -8350*f for f. 92 Solve -1683*m - 11*m + 64372 = 0 for m. 38 Solve 129*b - 16*b + 40*b + 3936 = -93*b for b. -16 Solve 197*l - 1536 = -82*l - 65*l + 9128 for l. 31 Solve -121*d = 3912 - 403 for d. -29 Solve -15140*r - 26055 = -14561*r for r. -45 Solve -21*p - 267*p = -1162 - 14390 for p. 54 Solve -172*a = 205*a + 136*a - 26*a + 32629 for a. -67 Solve -1837*q - 3137*q + 717*q = 1412*q + 283450 for q. -50 Solve -8866*r - 9776 = 401799 - 39203 for r. -42 Solve -16*l + 187*l = 136*l + 2380 for l. 68 Solve -172*t - 728*t = -393*t + 6591 for t. -13 Solve 2609*r + 36818 + 13613 + 121849 = 249*r for r. -73 Solve 796*t - 995*t = 1330*t - 123849 for t. 81 Solve 0 = 71*k - 159*k + 352 for k. 4 Solve 144290*i = 144196*i - 5264 for i. -56 Solve 1631 = -284*g - 641 for g. -8 Solve 101*h = 14*h + 397*h + 19530 for h. -63 Solve -43 + 918 = -125*y for y. -7 Solve 62*m + 222*m + 3993 = 13249 + 4944 for m. 50 Solve 35*b - 21 = 158*b - 627 - 9 for b. 5 Solve 460*p + 2790 = 522*p for p. 45 Solve 0 = -77060*q + 76831*q - 9847 for q. -43 Solve -141*w = -39*w + 97*w + 1331 + 2649 for w. -20 Solve -767*h - 404 - 254 = 346*h + 1568 for h. -2 Solve -755*i + 244*i - 37814 = 0 for i. -74 Solve 0 = 4770*m - 19303 - 52247 for m. 15 Solve 3347*b + 36211 - 21648 = 100142 + 48301 for b. 40 Solve -41*r - 17*r + 8*r - 4611 = -1861 for r. -55 Solve 1066 = 64*f + 66*f - 2184 for f. 25 Solve 5693 = 1375*m - 3924*m - 60581 for m. -26 Solve -4581 = 94*y + 38*y + 135 + 6768 for y. -87 Solve -2006*b + 665*b - 5884 + 25423 + 62262 = 0 for b. 61 Solve -425*f - 18151 = 15424 for f. -79 Solve 2116*s = 2829*s - 28520 for s. 40 Solve 3277*k + 174471 = -2010*k for k. -33 Solve 3894 = -208*s - 3943 + 1860 - 4007 for s. -48 Solve -65*f + 36*f = -992 + 424 + 46 for f. 18 Solve -277588*t + 277608*t + 540 = 0 for t. -27 Solve 2648*v + 11416*v - 2110 = 40082 for v. 3 Solve 55*y = 1085 + 125 for y. 22 Solve 28*p - 1114 = -11*p - 498 + 1763 for p. 61 Solve 138*z + 2716 = 1468 - 648 - 3348 for z. -38 Solve -144 = -207*g + 3744 - 369 for g. 17 Solve -599*z - 470*z - 417*z = -94*z - 64032 for z. 46 Solve -59*q + 52*q - 40 = 86 for q. -18 Solve -960*m + 46958 = -74*m for m. 53 Solve -1127*m + 224 = -565*m - 566*
{ "pile_set_name": "DM Mathematics" }
e 2*t - 7 - 61 = r. What is the remainder when t is divided by 12? 10 Let l(y) = -y + 5. Let k be l(8). Let p = k - -6. Suppose p*i - 83 + 32 = 0. What is the remainder when i is divided by 6? 5 Suppose -2*m + 5*m - 3*f = 141, 5*m = -5*f + 255. What is the remainder when 243 is divided by m? 47 What is the remainder when 51 is divided by (35/(-3) - -3)*3/(-2)? 12 Let r(d) = d**2 + 14*d + 9. Calculate the remainder when 44 is divided by r(-14). 8 Suppose 2*n = -2*o + 26 - 0, -58 = -4*n + 2*o. What is the remainder when 30 + 0 + (-96)/24 is divided by n? 12 Let f(g) = g**3 + 8*g**2 - 14*g - 18. Calculate the remainder when f(-9) is divided by 10. 7 Suppose 6 + 6 = -3*q. What is the remainder when 14 is divided by (-318)/(-39) - q/(-26)? 6 Let y(u) = u**2. Let c(d) = 11*d**2 + d + 1. Let v(z) = c(z) - 6*y(z). Calculate the remainder when 1 - ((-4)/3 + (-125)/3) is divided by v(2). 21 Let q(v) = -11*v + 1. Let s(y) = -6*y + 8. Calculate the remainder when s(-6) is divided by q(-2). 21 Let i = -8 + -3. Calculate the remainder when 32 is divided by (i/4)/(1/(-4)). 10 Calculate the remainder when 774/22 + (80/44 - 2) is divided by 9. 8 Let g(d) = -d**2 - 2*d. Let t be g(5). Suppose 3*x - 45 = -2*x. Calculate the remainder when x is divided by ((-14)/t)/(2/20). 1 Suppose -2*k + 4*k = -4. Let a be 22/8 - k/8. What is the remainder when 26 is divided by 1 + 1 - a - -10? 8 Let c(g) = g**2 - 7*g + 4. Let x be c(6). Let k = 23 - x. Calculate the remainder when 98 is divided by k. 23 Suppose 5*p + 5*s - 10 = 0, -6*p = -5*p + 2*s - 1. Calculate the remainder when p is divided by 3. 0 Let c be -3 + (-1 - 14*-1). Let s = c - 4. Calculate the remainder when 11 is divided by s. 5 Let b(s) = -27*s + 6. Let m be b(5). Let d = -59 - m. What is the remainder when d is divided by 24? 22 Let k = -2 + 0. Calculate the remainder when 12 is divided by -4*(26/(-8) - k). 2 Let n = 77 + -35. Calculate the remainder when n is divided by 9. 6 Let d(t) = 4*t - 4. What is the remainder when 79 is divided by d(5)? 15 Let z be (-4)/(-2) - 2/(-2). Suppose z*r - 11 = -2*u + 117, -142 = -3*r + 5*u. Calculate the remainder when 4 is divided by r/12 - (-2)/(-3). 1 Suppose -3*m = -5*t - 54, m - 3 = t + 15. Calculate the remainder when 34 is divided by m. 16 Suppose 0 = -3*o + 2*o - 3. Calculate the remainder when (o + 5)*39/6 is divided by 5. 3 Let v(d) = -d**2 - 8*d - 9. Let f be v(-6). Suppose h + 26 = f*h. Calculate the remainder when 24 is divided by h. 11 Calculate the remainder when (28/(-12))/((-1)/27) is divided by 16. 15 Let x(v) = -2*v**2 - 1 - v**2 - 1 - 10*v + 2*v**2. Suppose 4*w - 1 + 29 = 0. What is the remainder when x(w) is divided by 7? 5 Suppose 2*w - 4*w = -666. Let x = w + -219. Suppose 3*a - x = -3*m + a, -2*m + 76 = -3*a. Calculate the remainder when m is divided by 10. 8 Suppose -10*b + 126 = -3*b. What is the remainder when 105 is divided by b? 15 Let c = 11 + -8. Suppose 5*h + t - 85 + 1 = 0, 31 = 2*h + c*t. What is the remainder when 66 is divided by h? 15 Let p(y) = -2*y - 8. Let b be p(-8). Suppose 0 = l - b - 8. Calculate the remainder when 61 is divided by l. 13 Suppose 0*n - 5*n = 40. Let d(w) = -w + 11. Suppose -3*j = 2*p - 109, -3*p + 2*j + 170 = -0*j. What is the remainder when p is divided by d(n)? 18 Calculate the remainder when 2/6 - (-160)/6 is divided by 10. 7 Let m(s) = -2 - 4 + 2*s**2 - 3*s + 4*s**2 + s**3. Calculate the remainder when m(-6) is divided by 1*2 + (2 - -3). 5 Suppose 26 = -s + 9*t - 4*t, 0 = -2*s - t - 30. Let j = 23 + s. What is the remainder when 19 is divided by j? 5 Let v = -9 - -15. Let c(p) = 2*p + 4. What is the remainder when 45 is divided by c(v)? 13 Let c(g) = 4*g**2 - 4*g**2 - 2*g**2 + g**2 - 5*g. Let s be c(-5). Suppose -5*f - 2*t - t + 147 = s, -t + 4 = 0. What is the remainder when f is divided by 14? 13 Suppose 2 = -k + 2*k. Suppose 0 = -k*n + 11 + 41. Let t(m) = -m**3 - m + 9. What is the remainder when n is divided by t(0)? 8 Let r = 34 - 19. Calculate the remainder when r is divided by 6. 3 Let f(h) = -9*h - 3. Let s(v) = -8*v - 2. Let x(l) = -5*f(l) + 6*s(l). Let j be x(3). What is the remainder when 20/j*(-18)/4 is divided by 8? 7 Let f = -96 - -106. What is the remainder when 27 is divided by f? 7 Let t(c) = -5 + 18 + 0*c**2 + 4*c**2 - 11 - c**3. What is the remainder when t(3) is divided by 4? 3 Suppose y - 5*g = 21, 3*y + g = 4*g + 51. Calculate the remainder when 47 is divided by y. 15 Let o(w) = 121*w**2 + 1. Calculate the remainder when o(-1) is divided by 25. 22 Suppose 3*q = 3*j + 6, -3*q - 10 = 4*j - 37. Calculate the remainder when q is divided by 4. 1 Suppose 3*r - 3*f = 81, f - 57 = -3*r - 4*f. What is the remainder when 95 is divided by r? 23 Calculate the remainder when (-386)/(-8) - 9/(-12) - 4 is divided by 8. 5 Suppose 5*o - 5*b = 95, 2*b + 29 = 4*o - 47. Let a(t) = 6*t**2 - 2*t - 5. What is the remainder when a(-3) is divided by o? 17 Suppose -2*h + 2*g = 4 - 28, -g = -3*h + 36. What is the remainder when 34 is divided by h? 10 Let k(i) = i**2 + 2*i - 7. Suppose 5*c + 1 = -24. Calculate the remainder when 31 is divided by k(c). 7 Let v = 6 + 10. Calculate the remainder when 47 is divided by v. 15 Suppose -1 - 3 = -2*n. Let q = 0 - -13. What is the remainder when q/6 - (-3)/(-18) is divided by n? 0 Let d = 52 - 39. What is the remainder when 49 is divided by d? 10 Let q(n) = 43*n**2 + 22*n**2 - 17*n**2 - 2*n - 1. Suppose 84*w - 50*w = 578. What is the remainder when q(-1) is divided by w? 15 Let s = 9 + -11. Let v(p) = 4*p**2 + 2*p. Calculate the remainder when 34 is divided by v(s). 10 Let f = -16 + 24. What is the remainder when 29 is divided by f? 5 Let a = -5 - -7. Let w(f) = f**2 + 7*f + 1. Let v(x) = x**2 + 6*x + 1. Let d(z) = 6*v(z) - 5*w(z). What is the remainder when a is divided by d(-1)? 0 Suppose s = -4*s + 100. Suppose 7*w = -0*w + 266. What is the remainder when w is divided by s? 18 Calculate the remainder when 15 is divided by ((-12)/(-3) - -4) + 1. 6 Let o(r) = -r**2 + 4*r + 1. Let f be o(3). Suppose -f*q + 0*q + 8 = 0. What is the remainder when 5 is divided by q? 1 Suppose 4*a + 216 = -0*a. What is the remainder when a/(-2) - (0 - 2) is divided by 11? 7 Suppose 4*h = 2*q - 10, 2*h + 40 = 2*q + 4*h. Calculate the remainder when 41 is divided by q. 11 Let l be 1*(3 - (-1 - -3)). Suppose -6*g - 4 = -4*g. What is the remainder when 29 is divided by (g - 3)/(l/(-3))? 14 Let o be 212/12 - 1/(-3). Calculate the remainder when 158/o - (-8)/36 is divided by 5. 4 Let o = 44 + -31. Suppose 0 = 5*y - 5*m + 15, -m = 3*y - 0*m + 13. Let c(g) = 2*g**2 - g + 1. Calculate the remainder when c(y) is divided by o. 11 Suppose 0 = v - 8 - 23. What is the remainder when 119 is divided by v? 26 Suppose -147 = -3*k + 5*g - 4*g, 4*k - 201 = 3*g. Suppose -4*d - 4*n = -k, -2*d + d + n = -18. What is the remainder when 42 is divided by d? 12 Let h(b) = 3*b**3 - 3*b**2 - b + 1. Calculate the remainder when h(3) is divided by 27. 25 Calculate the remainder when 62 is divided by 130/8 + 1/(-4). 14 Let i(z) = -15*z. Let h = -9 + 6. What is the remainder when i(h) is divided by 12? 9 Let o(d) = d**3 + 9*d**2 + 6*d. Let c = -1 - 6. Calculate the remainder when o(c) is divided by 19. 18 What is the remainder when 122 is divided by -12*(-2 + (-6)/(-12))? 14 Suppose 10*r = 5*r. Suppose 4*q = -r*q + 96. Suppose -188 = -3*o - o. Calculate the remainder when o is divided by q. 23 Calculate the remainder when 71 is divided by 122/14 + 4 + 26/(-7). 8 Let k = -17 - -24. Let d(l) = l - 2. Calculate the remainder when k is divided by d(5). 1 Let n(h) = -4*h**2 - 6*h**2 + 3*h - 1 - 2*h. Let o be n(1). Let s = o - -43. What is the remainder when s is divided by 12? 9 Suppose -45 - 3 = -r. What is the remainder when r is divided by 17? 14 Let g = -14 + 18. What is the remainder when g is divided by 3? 1 Suppose -3*u - 81 = -3*s - 2*u, 61 = 2*s - 3*u. What is the remainder when s is divided by 7 - 2/(1 - 2)? 8 What is the remainder when 84 is divided by 22 - (1 - (0 + 1))? 18 Suppose 2 = -2*n, i + 0*i = -2*n. What is the remainder when 6 is divided by i? 0 Let b(v) = v**3 + 5*v**2 + 3*v. Calculate the remainder when ((-51)/5)/(3/(-10)) is divided by b(-3). 7 Suppose 6*z - 33 = 165. Calculate the remainder when z is divi
{ "pile_set_name": "DM Mathematics" }
common multiple of 2049088 and 634? 2049088 What is the lowest common multiple of 674300 and 674300? 674300 Calculate the common denominator of 113/332640 and -57/640. 1330560 Calculate the smallest common multiple of 20400 and 51000. 102000 Calculate the lowest common multiple of 12 and 3094376. 9283128 What is the common denominator of -5/56 and 29/180440? 1263080 Calculate the common denominator of -67/36584 and 93/310964. 621928 Calculate the common denominator of -83/924 and 157/252. 2772 What is the common denominator of -131/186912 and -17/3696? 1308384 Find the common denominator of -145/4104 and 97/26424. 1506168 Calculate the smallest common multiple of 766656 and 2178. 766656 What is the common denominator of -17/37216 and -57/2326? 37216 What is the least common multiple of 17352 and 958698? 3834792 Calculate the smallest common multiple of 4 and 1796012. 1796012 What is the smallest common multiple of 26752 and 45056? 856064 Calculate the lowest common multiple of 290 and 18842. 2732090 Find the common denominator of 7/68568 and -8/31427. 754248 Calculate the lowest common multiple of 276363 and 184242. 552726 Find the common denominator of 49/1012506 and 63/8. 4050024 Calculate the least common multiple of 27 and 428. 11556 Calculate the common denominator of 34/261 and -47/945. 27405 What is the lowest common multiple of 45 and 910? 8190 What is the common denominator of 55/12 and 139/39240? 39240 Calculate the lowest common multiple of 113520 and 113520. 113520 Calculate the common denominator of 107/182700 and 78/11165. 2009700 What is the lowest common multiple of 748 and 109004? 1199044 Calculate the common denominator of 113/41118 and -121/153258. 1685838 What is the common denominator of -40/57 and 64/8493? 8493 Calculate the lowest common multiple of 42 and 56476. 169428 What is the common denominator of -101/10162 and -11/52? 264212 Calculate the common denominator of -103/120060 and 64/6003. 120060 Calculate the smallest common multiple of 24276 and 98. 169932 What is the common denominator of 20/12261 and 43/36783? 36783 What is the least common multiple of 8216 and 6370? 2012920 What is the smallest common multiple of 154770 and 4020? 309540 Find the common denominator of 73/2169402 and -55/12. 4338804 Calculate the least common multiple of 28500 and 1330. 199500 Calculate the smallest common multiple of 3120 and 220. 34320 What is the smallest common multiple of 18 and 1198515? 7191090 What is the least common multiple of 4877720 and 36? 43899480 What is the smallest common multiple of 27366 and 12? 54732 What is the least common multiple of 8076 and 44418? 88836 What is the common denominator of -13/6612 and 46/4959? 19836 What is the least common multiple of 30 and 2752593? 27525930 What is the lowest common multiple of 1700136 and 204? 1700136 What is the common denominator of -111/2200 and -69/152900? 305800 Find the common denominator of -58/115 and -15/153364. 766820 Calculate the lowest common multiple of 413 and 596254. 4173778 What is the lowest common multiple of 33913 and 297? 915651 What is the common denominator of 153/1540 and -179/8316? 41580 Calculate the smallest common multiple of 18 and 663918. 1991754 Calculate the smallest common multiple of 1875 and 115625. 346875 What is the lowest common multiple of 17150 and 574? 703150 Calculate the common denominator of -163/360 and -121/828. 8280 Calculate the smallest common multiple of 27 and 7461. 22383 Calculate the common denominator of 87/8498 and 67/14568. 101976 Calculate the least common multiple of 5474 and 1309. 60214 Calculate the common denominator of 181/6690 and -131/30. 6690 What is the least common multiple of 3 and 789982? 2369946 Find the common denominator of 63/55978 and 61/52. 111956 What is the common denominator of 73/160 and -21/31408? 314080 Calculate the common denominator of 76/55935 and -89/315. 391545 Calculate the common denominator of -63/8060 and -133/4030. 8060 Calculate the smallest common multiple of 28322 and 5491. 538118 Calculate the common denominator of -67/1264 and 91/11850. 94800 Find the common denominator of 127/3380 and -101/24. 20280 What is the smallest common multiple of 3400 and 860? 146200 Calculate the least common multiple of 27 and 1172265. 10550385 Calculate the smallest common multiple of 72 and 46584. 46584 What is the least common multiple of 34226 and 1099? 239582 Calculate the smallest common multiple of 20653 and 38. 41306 Calculate the common denominator of 32/9197 and 101/20558. 349486 What is the common denominator of -61/34800 and 31/120? 34800 Find the common denominator of -97/81720 and 41/11350. 408600 What is the common denominator of 161/4860 and -67/11700? 315900 Calculate the common denominator of 29/83928 and 115/48958. 587496 Find the common denominator of -1/27 and 167/18720. 56160 Calculate the least common multiple of 1648 and 222274. 1778192 Calculate the smallest common multiple of 44685 and 45. 44685 Calculate the lowest common multiple of 19068 and 1816. 38136 Calculate the common denominator of -43/3410 and -46/325. 221650 What is the lowest common multiple of 583 and 228? 132924 What is the least common multiple of 5970 and 11343? 113430 Calculate the smallest common multiple of 42 and 434147. 2604882 What is the common denominator of 2/4959 and 37/580? 99180 What is the least common multiple of 1790 and 40275? 80550 Calculate the smallest common multiple of 13168 and 24. 39504 What is the common denominator of -149/650720 and -31/43120? 7157920 What is the common denominator of -14/15 and 29/6402? 32010 Find the common denominator of 57/5915 and 58/95. 112385 Calculate the common denominator of 37/154 and -95/72842. 72842 Calculate the smallest common multiple of 399 and 15207. 2022531 Calculate the lowest common multiple of 1379 and 331748. 2322236 What is the common denominator of 91/59352 and 29/66771? 534168 Calculate the least common multiple of 150 and 6885. 68850 What is the smallest common multiple of 76240 and 83864? 838640 What is the smallest common multiple of 1984 and 128? 3968 Find the common denominator of -13/17404 and -50/47861. 191444 What is the common denominator of 73/7480 and 193/3300? 112200 Find the common denominator of -41/13920 and -8/4205. 403680 Calculate the common denominator of -83/3346 and 109/57838. 404866 What is the smallest common multiple of 60 and 454830? 909660 Calculate the common denominator of -3/553 and -99/41080. 287560 Calculate the common denominator of -17/15120 and 131/2520. 15120 What is the smallest common multiple of 5320 and 38? 5320 Find the common denominator of -38/32073 and 79/64146. 64146 What is the common denominator of 29/76 and 59/11704? 11704 Calculate the least common multiple of 248230 and 471637. 4716370 What is the lowest common multiple of 2304 and 576? 2304 Find the common denominator of -29/5751 and 127/1278. 11502 What is the common denominator of 25/112336 and 121/24072? 337008 Find the common denominator of 79/2342568 and 43/14. 16397976 Calculate the smallest common multiple of 534285 and 5745. 534285 Calculate the lowest common multiple of 496783 and 567752. 3974264 Find the common denominator of 37/202160 and 71/684. 1819440 Find the common denominator of 5/11094 and 51/215. 55470 Calculate the least common multiple of 86670 and 86670. 86670 Calculate the lowest common multiple of 609687 and 143. 6706557 Calculate the lowest common multiple of 78 and 24. 312 What is the common denominator of 53/52440 and 157/2208? 209760 What is the least common multiple of 94923 and 1194? 189846 Find the common denominator of -29/84 and -71/25980. 181860 Calculate the least common multiple of 7320 and 20. 7320 Find the common denominator of -93/5360 and 45/17152. 85760 Find the common denominator of 11/1005662 and 89/485492. 14079268 Calculate the smallest common multiple of 91 and 10010. 10010 Calculate the common denominator of 4/3575 and -81/13340. 9538100 Calculate the lowest common multiple of 552 and 72. 1656 Calculate the lowest common multiple of 32740 and 62206. 622060 What is the least common multiple of 1296 and 808? 130896 Find the common denominator of 40/79 and 91/9164. 9164 What is the smallest
{ "pile_set_name": "DM Mathematics" }
29 a factor of 1305? True Is 598 a multiple of 26? True Is 2597 a multiple of 53? True Does 9 divide 11471? False Is 7 a factor of 394? False Does 42 divide 23016? True Is 37 a factor of 1110? True Does 12 divide 804? True Is 2912 a multiple of 91? True Is 222 a factor of 14430? True Does 26 divide 294? False Is 1636 a multiple of 122? False Is 25218 a multiple of 81? False Is 3772 a multiple of 49? False Is 27108 a multiple of 36? True Does 21 divide 1554? True Does 12 divide 1293? False Is 6 a factor of 223? False Is 12747 a multiple of 51? False Is 461 a multiple of 3? False Is 18 a factor of 918? True Does 84 divide 16808? False Is 9 a factor of 9718? False Is 15498 a multiple of 126? True Does 49 divide 1078? True Does 3 divide 631? False Does 92 divide 460? True Does 15 divide 6210? True Does 63 divide 1701? True Does 193 divide 12159? True Is 29522 a multiple of 53? False Is 2752 a multiple of 32? True Does 5 divide 277? False Is 14149 a multiple of 23? False Is 56 a factor of 3186? False Is 6696 a multiple of 93? True Is 583 a multiple of 53? True Is 5130 a multiple of 45? True Is 12 a factor of 780? True Does 123 divide 8940? False Is 10600 a multiple of 265? True Does 19 divide 16228? False Is 20 a factor of 260? True Is 3 a factor of 31156? False Does 28 divide 177612? False Is 3960 a multiple of 33? True Is 311 a multiple of 141? False Is 367 a factor of 53366? False Is 16 a factor of 11392? True Is 2585 a multiple of 70? False Is 179 a factor of 20227? True Is 38 a factor of 1498? False Is 12240 a multiple of 20? True Is 41478 a multiple of 124? False Is 1935 a multiple of 43? True Is 13200 a multiple of 49? False Does 16 divide 1808? True Is 147 a multiple of 9? False Is 82155 a multiple of 28? False Is 93060 a multiple of 33? True Is 8 a factor of 5633? False Is 630 a multiple of 30? True Does 6 divide 658? False Is 42 a factor of 19950? True Does 247 divide 6422? True Does 37 divide 252? False Is 111 a multiple of 26? False Is 21 a multiple of 3? True Does 16 divide 9374? False Is 56 a factor of 24808? True Is 348 a multiple of 13? False Is 16 a factor of 20672? True Does 144 divide 72720? True Is 82 a factor of 53874? True Is 20500 a multiple of 41? True Is 10 a factor of 34457? False Is 3150 a multiple of 9? True Is 8560 a multiple of 13? False Is 21954 a multiple of 37? False Is 3 a factor of 115? False Is 26466 a multiple of 25? False Does 100 divide 68626? False Does 4 divide 1064? True Is 50 a factor of 18800? True Is 30 a factor of 6546? False Is 361 a multiple of 19? True Is 5 a factor of 377? False Is 539 a multiple of 8? False Is 11 a factor of 11212? False Is 21400 a multiple of 67? False Is 41 a factor of 615? True Is 53740 a multiple of 8? False Is 4 a factor of 5351? False Is 1198 a multiple of 9? False Is 12043 a multiple of 14? False Does 7 divide 28081? False Is 92 a multiple of 26? False Is 1058 a multiple of 30? False Is 49 a factor of 6530? False Is 57 a factor of 1197? True Is 98116 a multiple of 38? True Does 22 divide 118? False Is 1242 a multiple of 23? True Does 9 divide 165? False Is 3 a factor of 3796? False Is 116 a multiple of 3? False Is 349 a multiple of 11? False Does 19 divide 1121? True Is 18 a factor of 1224? True Does 24 divide 20014? False Does 7 divide 919? False Is 31784 a multiple of 145? False Is 54372 a multiple of 276? True Is 2583 even? False Is 1283 a multiple of 21? False Does 206 divide 30537? False Does 14 divide 8834? True Does 46 divide 2346? True Is 4 a factor of 542? False Does 2 divide 12? True Does 10 divide 1070? True Is 3161 even? False Does 38 divide 2774? True Does 8 divide 56? True Does 94 divide 14326? False Does 177 divide 9912? True Is 35 a factor of 45566? False Is 71 a factor of 3274? False Is 180 a multiple of 17? False Is 1066 a multiple of 16? False Is 176 a multiple of 11? True Is 2561 a multiple of 36? False Is 165 a factor of 113092? False Is 13340 a multiple of 20? True Does 36 divide 3146? False Does 22 divide 132? True Is 208 a multiple of 16? True Is 93 a multiple of 4? False Is 23 a factor of 51681? True Is 123 a factor of 3198? True Is 3 a factor of 1191? True Is 1017 a multiple of 4? False Is 646 a multiple of 38? True Does 13 divide 507? True Is 931 a multiple of 19? True Is 20350 a multiple of 50? True Does 14 divide 56? True Does 31 divide 93186? True Does 8 divide 35424? True Is 837 a multiple of 9? True Does 26 divide 1976? True Does 157 divide 22608? True Is 1782 a multiple of 6? True Is 54 a factor of 1296? True Does 114 divide 5032? False Does 22 divide 4686? True Is 3632 a multiple of 16? True Is 60 a multiple of 14? False Does 210 divide 17105? False Is 4 a factor of 344? True Does 19 divide 19076? True Is 104 a multiple of 4? True Does 9 divide 6370? False Does 19 divide 58476? False Is 1102 a multiple of 57? False Is 684 a multiple of 19? True Is 102 a multiple of 6? True Is 2730 a multiple of 35? True Does 67 divide 7571? True Is 20 a factor of 1946? False Does 7 divide 448? True Is 182 a factor of 22386? True Does 476 divide 45696? True Is 1794 a multiple of 46? True Is 9 a factor of 4814? False Does 30 divide 57287? False Does 12 divide 4320? True Does 20 divide 427? False Does 118 divide 15509? False Is 8500 a multiple of 91? False Does 13 divide 1508? True Does 65 divide 1950? True Is 7 a factor of 1356? False Is 13 a factor of 143? True Is 35 a factor of 2555? True Is 11856 a multiple of 12? True Is 13 a factor of 203? False Does 53 divide 519? False Is 6132 a multiple of 28? True Is 17 a factor of 4195? False Does 42 divide 22202? False Is 1064 a multiple of 38? True Is 41860 a multiple of 70? True Is 11 a factor of 310? False Is 3 a factor of 288? True Is 13 a factor of 1326? True Does 12 divide 37642? False Is 14 a factor of 420? True Is 94 a factor of 5253? False Is 4 a factor of 37952? True Is 216 a multiple of 4? True Is 22 a factor of 3960? True Is 281 a multiple of 50? False Does 70 divide 761? False Is 15 a factor of 720? True Does 16 divide 335? False Is 10 a factor of 324? False Is 24 a factor of 1656? True Does 15 divide 2100? True Does 12 divide 629? False Is 6479 a multiple of 44? False Is 2413 a multiple of 4? False Does 79 divide 2138? False Is 7 a factor of 3563? True Does 8 divide 199? False Is 41944 a multiple of 154? False Is 10 a factor of 969? False Does 3 divide 330? True Is 2 a factor of 86? True Is 75 a multiple of 3? True Is 14 a factor of 1288? True Is 18 a factor of 360? True Is 4108 a multiple of 13? True Does 3 divide 2386? False Does 203 divide 13792? False Does 35 divide 1260? True Does 36 divide 805? False Is 4 a factor of 50? False Is 49 a factor of 1792? False Does 3 divide 175? False Does 13 divide 793? True Is 5710 a multiple of 7? False Is 2769 a multiple of 2? False Is 249 a multiple of 34? False Does 17 divide 544? True Does 7 divide 6272? True Is 10656 a multiple of 12? True Is 1065 a multiple of 55? False Is 12095 a multiple of 59? True Does 15 divide 14730? True Is 179 a multiple of 9? False Does 34 divide 3094? True Is 868 a multiple of 62? True Is 29 a factor of 116? True Is 7 a factor of 1287? False Does 10 divide 9659? False Does 189 divide 6382? False Does 72 divide 127728? True Is 593 a multiple of 93? False Is 858 a multiple of 33? True Is 13 a factor of 366? False Is 8 a factor of 72? True Is 2199 a multiple of 127? False Does 230 divide 38215? False Is 17 a factor of 7482? False Is 9 a factor of 54? True Is 2610 a multiple of 15? True Does 5 divide 191? False Is 5 a factor of 12268? False Does 9 divide 5470? False Does 82 divide 5002? True Is 1512 a multiple of 6? True Is 19 a factor of 3914? True Does 9 divide 3429? True Does 37 divide 934? False Does 14 divide 2212? True Is 270 a multiple of 34? False Is 56 a factor of 13496? True Does 6 divide 20673? False Is 17 a factor of 170? True Is 21 a factor of 1365? True Is 4445 a multiple of 7? True Is 62 a multiple of 17? False Does 2 divide 375? False Is 37 a factor of 16718? False Is 341 a multiple of 6? False Is 25 a factor of 52? False Is 11 a factor of 13439? False Is 3 a factor of 9441? True Is 38 a factor of 912? True Is 709 a multiple of 2? False Is 1419 a multiple of 28? False Does 12 divide 3192? True Is 20 a factor of 37?
{ "pile_set_name": "DM Mathematics" }
30*j + 9528*j + 9556*j - 28614*j - 33*j**3. -33*j**3 Collect the terms in 19*v**2 + 231*v**3 + 253*v**3 - 485*v**3 - 10*v + 10*v + 2*v**2. -v**3 + 21*v**2 Collect the terms in -729 - 2*n**3 - 32 - 346 + 7 + 53. -2*n**3 - 1047 Collect the terms in 11*c**2 - 1 - 124 + 13*c**2 + 2*c - 8*c**2 - 31*c**2 + 12. -15*c**2 + 2*c - 113 Collect the terms in -3 - 3 - 2363*j - 1 + 1203*j + 1188*j + 1. 28*j - 6 Collect the terms in -268*q - 260*q - 260*q - 265*q - 259*q - 238*q + 1548*q. -2*q Collect the terms in -483*d + 1370*d + 418*d. 1305*d Collect the terms in -68*o + 33 + 124*o + 264*o - 36 + 81*o. 401*o - 3 Collect the terms in 220 + 61*i**2 - 46*i**2 - 4261 - 1935. 15*i**2 - 5976 Collect the terms in -1474*p - 1721*p + 290711 - 290711. -3195*p Collect the terms in 71*q**2 - 106 + 61*q**2 + 138 - 32. 132*q**2 Collect the terms in 81*r**3 + 107*r**3 - 19890 + 19890. 188*r**3 Collect the terms in 66582*s**3 + 13*s**2 - 28*s**2 + 2*s**2 + 13*s**2. 66582*s**3 Collect the terms in -7353*l**2 + 1618*l**2 + 1381*l**2 + 1634*l**2 + 1678*l**2 + 1421*l**2. 379*l**2 Collect the terms in -121068*v**3 - 100264*v**3 - 27109*v**3 + 72293*v**3. -176148*v**3 Collect the terms in -4552*n**2 + 4573*n**2 + 2*n + n + 38254 - 38253 - 3*n. 21*n**2 + 1 Collect the terms in 199259*j**2 - 100151*j**2 - 99108*j**2 - 4*j**3. -4*j**3 Collect the terms in 124247117 - 124247117 - 1137*n + 1137*n + 5*n**2. 5*n**2 Collect the terms in -12*d**2 + 6*d + 2001913 - 6*d - 13*d**2 - 2001913. -25*d**2 Collect the terms in 6 + 27590*l**2 + 170805*l**2 - 5 + 0 + 2*l. 198395*l**2 + 2*l + 1 Collect the terms in -37914*p + 616*p**3 + 12656*p + 12629*p + 12629*p. 616*p**3 Collect the terms in 1404*i + 79*i - 36 + 57 - 19. 1483*i + 2 Collect the terms in w**2 + 1 - 3633*w - 3705*w - 1 + 7617*w. w**2 + 279*w Collect the terms in -3 + 68922*a + 345271*a + 5 - 2. 414193*a Collect the terms in -6108450469 + x**3 + 6108450469 - 97*x. x**3 - 97*x Collect the terms in 110*p + 46513*p**2 - 58*p - 52*p. 46513*p**2 Collect the terms in -98*q**3 - 191*q**3 + 1056*q**3 - 193*q**3 - 175*q**3 - 198*q**3 - 199*q**3. 2*q**3 Collect the terms in -153209042 + l**3 + 153209042. l**3 Collect the terms in 238*t**2 + 247*t**2 - 1002*t**2 + 245*t**2 + 250*t**2. -22*t**2 Collect the terms in -20*o**2 + 115*o**2 - 206*o - 189*o + 584*o - 189*o. 95*o**2 Collect the terms in -63*u**2 - 44*u**2 + 7 + 6 - 13 - 60*u**2 + 152*u**2. -15*u**2 Collect the terms in -4*m - 83446*m**3 + 3 + 6*m - 1. -83446*m**3 + 2*m + 2 Collect the terms in -10354 + 110*j**2 - 10358 + 20712 + 33*j**2. 143*j**2 Collect the terms in 28637 + 394*q - 85892 + 28638 + 28616 + 142*q. 536*q - 1 Collect the terms in 97*h**3 - 81269*h + 162532*h - 81267*h. 97*h**3 - 4*h Collect the terms in 6139*o**2 - 635*o**2 + 6396*o**2 - 553*o**2. 11347*o**2 Collect the terms in 2096 + 6326*c - 12322*c + 5996*c - 2096 - 23*c**2. -23*c**2 Collect the terms in 18 - 37*l**2 + 72*l**2 - 13841*l - 36*l**2 + 13841*l + 31. -l**2 + 49 Collect the terms in -17*g**3 + 5*g + 6*g**3 - 21*g + 1 + 11*g. -11*g**3 - 5*g + 1 Collect the terms in 0*y + 334564*y**2 - 334405*y**2 + 0*y. 159*y**2 Collect the terms in 1418*s**3 - 3344*s**3 - 95*s**3 - 6222*s**3 - 439*s**3. -8682*s**3 Collect the terms in 2*a - a + 13 + 0*a - 8*a + 0 + 6*a. -a + 13 Collect the terms in -7*q**2 + 400144 - 10*q**2 + 400200 - 800344. -17*q**2 Collect the terms in 559*a - 1510*a - 2*a**2 - 1009*a + 687*a**3. 687*a**3 - 2*a**2 - 1960*a Collect the terms in -6639017*t + 1362268*t - 1064879*t. -6341628*t Collect the terms in -5263*w**3 - w - 1547*w**2 - 5226*w**3 + w + 1547*w**2 + 10485*w**3. -4*w**3 Collect the terms in 3061*l + 3010*l - 6398*l. -327*l Collect the terms in -21274*c - 6683*c + 14*c**2 - 15*c**2 - 2152*c - 3051*c. -c**2 - 33160*c Collect the terms in 1492*x**2 + 691 - 350 - 341. 1492*x**2 Collect the terms in -45975*t**2 + 20757*t**2 + 22616*t**2 + 8*t - 8*t. -2602*t**2 Collect the terms in -971785*y + 1210469*y + 1296542*y + 648178*y. 2183404*y Collect the terms in -10*b**2 - 2216 + 3751 - 1535. -10*b**2 Collect the terms in 11053086404 + 11053086419 - 22106172823 - 6*y. -6*y Collect the terms in 2166*c + 483*c - 11 - 179. 2649*c - 190 Collect the terms in 1216*d + 109*d + 802*d. 2127*d Collect the terms in -631772*d**3 + 1263045*d**3 - 631748*d**3. -475*d**3 Collect the terms in -23*h - 18*h - 170*h - 20*h + 255*h - 21*h. 3*h Collect the terms in 3633*b**2 - 58*b - 3638*b**2 - 106*b - 3 + 43*b. -5*b**2 - 121*b - 3 Collect the terms in -1 - g**2 + 26046*g - 13065*g - 13088*g - 10*g**2. -11*g**2 - 107*g - 1 Collect the terms in -167 + 82 + 88 + 13*g**2 - 19*g**2. -6*g**2 + 3 Collect the terms in -8174780*p + 4087241*p + 4087292*p. -247*p Collect the terms in 559*k - k**2 + 43*k + 131*k - 733*k. -k**2 Collect the terms in 99314*q**3 - 48579*q**3 - 50802*q**3. -67*q**3 Collect the terms in -8073*d + 16093*d - 8076*d. -56*d Collect the terms in -1313*q + 212*q - 3 - 227*q. -1328*q - 3 Collect the terms in 869*a - 227*a - 226*a - 218*a - 217*a. -19*a Collect the terms in -24885*w**3 - 7500*w**3 - 3057*w**3. -35442*w**3 Collect the terms in 0*d**3 - 3*d - 4*d + 47 + 4*d**2 + 3*d - 2*d**3. -2*d**3 + 4*d**2 - 4*d + 47 Collect the terms in 37150*g**3 - 37036*g**3 + 14*g**2 - 11*g**2. 114*g**3 + 3*g**2 Collect the terms in -109*b**3 + 6*b**2 - 25*b**3 + 173*b**3 + 4*b**2 - 10*b**2. 39*b**3 Collect the terms in 32*a**2 + 10*a + 1920 - 15*a**3 - 10*a - 3837 + 1917. -15*a**3 + 32*a**2 Collect the terms in 14*p**3 - 728 - 31*p**2 + 0*p + 8*p + 728. 14*p**3 - 31*p**2 + 8*p Collect the terms in -74*r - 216 + 37*r + 73 + 38*r + 85 + 58. r Collect the terms in -2127474*n - 14 + 1063744*n + 1063728*n. -2*n - 14 Collect the terms in -3*g + 6054 - 26316 - 5*g + 4*g. -4*g - 20262 Collect the terms in 374102*b - 374102*b - 520*b**2. -520*b**2 Collect the terms in 32925 + 32929 - 30269*d - 65854. -30269*d Collect the terms in 51*w - 52996 + 106012 - 53014. 51*w + 2 Collect the terms in 3969 - 1333 - 1310 - 1326 + 13*u - 10*u. 3*u Collect the terms in 6558145*w - 3280817*w - 3277335*w. -7*w Collect the terms in 3427762*b + 3427703*b - 6855494*b. -29*b Collect the terms in -5701*x**2 + 1882*x**2 + 1889*x**2 + 1965*x**2 - 39. 35*x**2 - 39 Collect the terms in -2 - 186*o**3 - 4*o + 8*o + 22*o - 110*o**3. -296*o**3 + 26*o - 2 Collect the terms in 1835501 + t**2 + 32*t**2 - 1835487. 33*t**2 + 14 Collect the terms in 365*o + 115*o + 127*o + 126*o - 967*o + 128*o + 121*o. 15*o Collect the terms in -101515*q**3 - 12670*q**3 - 32047*q**3 - 36921*q**3. -183153*q**3 Collect the terms in -875 + 219 + 221 + 214 + 221 - 96*q**3. -96*q**3 Collect the terms in -1390*k - k**3 + 1286*k + 1926*k + 1341*k. -k**3 + 3163*k Collect the terms in -352964*k**2 - 385626*k**2 + 738591*k**2. k**2 Collect the terms in -10*f + 54*f - 25*f - 17*f - 11604. 2*f - 11604 Collect the terms in 8*g - 8*g - 25842*g**2 - 85*g**3 - 87*g**3 + 169*g**3 + 25842*g**2. -3*g**3 Collect the terms in -38*s**3 + 77*s**2 - 66*s**3 + 87*s**2 - 132*s**2. -104*s**3 + 32*s**2 Collect the terms in 5 - 27 + 14 + 3 - 6423*t + 6. -6423*t + 1 Collect the terms in -190*a**2 + 190*a**2 + a + 219253*a**3. 219253*a**3 + a Collect the terms in -2048660*r**2 + 4096359*r**2 - 2047698*r**2. r**2 Collect the terms in 688*p + 658*p - 4*p**3 - 1346*p + 234 + 5*p**3 - 234. p**3 Collect the terms in 2812 + 19*o - 5671 + 2857. 19*o - 2 Collect the terms in -36033*x - 36039*x + 107904*x - 35850*x. -18*x Collect the terms in 277 - 940*q + 764*q - 138 - 139. -176*q Collect the terms in 920 + 665*h + 1996 - 2916 - 2001*h. -1336*h Collect the terms in 4 - 4 + 10623*g + 5717*g + 11265*g. 27605*g Collect the terms in 1382*w**2 + 1389*w**2 + 3*w**3 - 4173*w**2 + 1391*w**2. 3*w**3 - 11*w**2 Collect the terms in -31972*q**3 + 15950*q**3 - 2 + 15961*q**3 - 2 + 4. -61*q**3 Collect the terms in -2623 + 2050 + 4*d**2 - 4926. 4*d**2 - 5499 Collect the terms in -32*j**2 + 77650*j**3 + 61*j**2 - 29*j**2 - 16777*j**3. 60873*j**3 Collect the terms in -25*b + 28*b + 735 - 376 - 383. 3*b - 24 Collect the terms in 12*n + 2909 - 7*n - 5794 - 6*n + 2929. -n + 44 Collect the terms in -18*r**3 + 47*r**3 - 21*r**3 + 398*r + 401*r - 1193*r + 394*r. 8*r**3 Collect the terms in 3184480*s + 1590413*s - 178751*s. 4596142*s Co
{ "pile_set_name": "DM Mathematics" }
et n = -1 - -1.3. Let a = n + 0.7. What is the nearest to 1 in a, u, 0? a Let s be -1 + (3 + -4 - -3). What is the closest to 2/5 in 2/7, 16/5, s? 2/7 Let o = -4 - -4.4. Let m = 23 - 21. Suppose -4*p + 0*z - 2*z - 2 = 0, m*z + 16 = 3*p. Which is the nearest to p? (a) o (b) 0 (c) -4 a Let f = -56 + 35. Let a = 20.5 + f. Let l be (22/(-22))/(-4 - 1). What is the nearest to -0.1 in l, 5, a? l Suppose -3*z + 104 = -7*z. Let i = z + 23. Suppose 5*r = r. Which is the closest to r? (a) 2 (b) 0 (c) i b Let g(m) = -m**3 - m**2 + m + 2. Let s be g(0). Suppose s = t + 1. Let x be (-11)/2*-1 + -6. What is the nearest to 1 in t, -0.4, x? t Let o be 1/(1 + -2) - 8. Let y = o + 29/3. Let f = 1.95615 + 0.04385. What is the nearest to y in 0.1, f, 0.4? 0.4 Let n = -287.8 - -288.8. What is the closest to n in -6, -0.1, -2/13? -0.1 Let w be (0/1)/(3 + -4) + 104. Which is the nearest to -0.3? (a) 1/9 (b) -0.4 (c) w b Let j = 0.037 - 1.777. Let o = -1.7 - j. Let h = o - -1.96. Which is the nearest to -0.2? (a) 0.3 (b) h (c) -2/9 c Let i(r) = r**2 - 4*r - 14. Let y be i(6). Which is the nearest to -3? (a) y (b) 5 (c) 1 a Let d = -15.5 - -9.1. Let r = -5.9 - d. What is the nearest to 0 in 2, r, -8? r Let u = 38 + -40. Let q be (26/52)/(u/8). Which is the closest to -1? (a) q (b) -0.5 (c) 1 b Let m = 3.7811 + 0.2189. Which is the closest to 0.1? (a) m (b) -3 (c) -1/4 c Let a = 212.7 + -212.4. What is the closest to 0 in -4, a, 1/10? 1/10 Let u = -63 - -58.05. Let h = 0.05 - u. Let z = 375 + -374.9. What is the closest to h in 1, z, 2/3? 1 Let d = -79 + 81. What is the closest to -1 in d, 115, 4? d Let m be -5*15/(-350)*2. What is the closest to -2/3 in -0.2, 0.2, m? -0.2 Let m = -3 + 3. Suppose -f + 4*z = 9, 2*f = -0*f - 2*z + 12. Suppose 2*o = 10, -o - 10 = f*n - 0*o. What is the closest to m in 1/3, 4, n? 1/3 Suppose -10 = 5*w + 5. Let v be 2 - 2 - (1 + w). Let f be 3/((-765)/(-60))*(-2)/(-4). Which is the closest to v? (a) 4 (b) -0.1 (c) f c Let z = -394 - -20884/53. Let v = -16.04 - -12.04. What is the nearest to z in 1/2, v, -2/9? -2/9 Let y = -1765/3 + 588. Which is the closest to -1/3? (a) -3 (b) -0.2 (c) y (d) 3/2 c Let p = -10 + 0. Let s = p + 9. Let i = -13 + 12. Which is the closest to i? (a) 3 (b) -1/2 (c) s c Let q = 1321 + -1323. Which is the nearest to -2? (a) q (b) -0.4 (c) 2/11 (d) 3 a Let u(m) = -16*m + 63. Let p be u(4). Let f be 2/3*3/(-17). What is the nearest to 2/9 in f, p, 5? f Let v(o) = 8*o + 70. Let y be v(-9). Let w be y/(-9) - 258/(-54). Let p = 0 + 1. Which is the nearest to p? (a) w (b) 3 (c) 0 c Let o = -198 + 194. What is the nearest to -3 in o, 7, 1/2? o Suppose -2 - 4 = -3*k. Suppose -w - 5 = -11. Let v be w/30 - 34/70. Which is the nearest to v? (a) k (b) -2/11 (c) -4 b Let w = 2/65 - 69/130. Let t = 2.4 + -1.4. Which is the closest to t? (a) 0.3 (b) w (c) -3 a Suppose -4*g - 3*d + 13 = 0, g + 0 = 5*d - 14. Let j = 6 - 5.6. Which is the nearest to g? (a) 2/45 (b) 0 (c) j c Suppose 66 = -16*f + 5*f. Which is the nearest to -0.08? (a) f (b) 2 (c) 1 c Let j be (22/10)/(-1) - -4. Let x = j - 73/35. What is the closest to -1 in x, 3, 3/2? x Let f = 0.2 + 1.8. Let y be 1/3 - (-6)/(-18). Suppose -3*h + o + 4 + 6 = y, 0 = -5*h + 2*o + 16. Which is the nearest to f? (a) 1/2 (b) h (c) -1 a Let r = -726 + 727. What is the closest to 1 in 1/2, r, -8/9? r Let h = -162 - -160. What is the nearest to h in 1, 0.5, -2? -2 Let z = -102 - -110. What is the nearest to 0.1 in z, -2/19, -5? -2/19 Let z = 104 + -103.7. Let k be (8/12)/((-26)/(-6)). Which is the closest to -2? (a) z (b) k (c) 2/11 b Let b be (-970)/35 + 6/(-2). Let v = b + 31. What is the closest to 2 in 0.4, 0.5, v? 0.5 Suppose 4*w - 64 = 3*g - 5*g, -125 = -4*g - 5*w. Suppose 7*l - g = 2*l. Let n be (-3 - -7)*(-1)/l. What is the closest to 0.1 in n, 0.2, 4? 0.2 Let z = 1457/4 - 365. What is the nearest to 0 in -5/3, z, 0.3? 0.3 Let g = 0.117 + -0.09. Let i = g + 0.073. Let y = 2 - 3. Which is the closest to i? (a) 1/4 (b) 0.3 (c) y a Let n(p) = -p**3 + 4*p**2 + 20*p + 8. Let f be n(7). Let h = -10 + 11. Which is the closest to f? (a) 4/3 (b) h (c) 0.1 b Suppose -2*y = y + 6. Let j = -157 + 1101/7. Let a = 532 - 1597/3. What is the nearest to j in a, y, 2? a Let w = 78 - 76. Let z be (-14)/(-12) - w/3. What is the nearest to -2/7 in z, 1, 3? z Let h = 4 - 5. What is the nearest to h in 2/7, -0.01, -0.2? -0.2 Let v = 0.062 - -0.138. Let n = 0.2 - 0.1. Which is the nearest to v? (a) n (b) -0.2 (c) 4 a Let d be 2 + -1 + 0 - (-5)/(-7). Let z = 13 + -24. Let q = z + 11. Which is the nearest to q? (a) 4 (b) -2/5 (c) d c Let n = 6.1 - -17.9. Let v = n + -14. Let y = v + -10.2. What is the closest to -0.1 in -0.5, y, 3? y Let w = 307/4 + -78. Let r be 12/3 + (-90)/21. Let d = -7.8 + 8. What is the closest to w in -4/5, d, r? -4/5 Suppose 10 = c + 4*c. Let i be 1 + -3 - (-324)/153. Let a = -23/51 + i. What is the nearest to a in 5, c, 3? c Let r = 3.49 - 37.69. Let l = r - -34. Which is the closest to l? (a) 1 (b) -2 (c) -0.04 c Let w be (-3)/(-6) - 3 - -3. Let p = -0.3 + -0.7. Let a be ((-68)/(-16) - 5)*72/(-243). What is the nearest to w in 2/13, a, p? a Let a = 1177 + -5887/5. What is the closest to 1/4 in -4, 3, -0.2, a? -0.2 Let y = -10.774 + -0.226. Which is the nearest to -1? (a) y (b) 6 (c) 0.5 c Let c = 109.846 - -0.154. Let z = c - 108. Let w be 18/(-4)*2/6. What is the nearest to 0.1 in w, 2/7, z? 2/7 Let k = 0.9 + -1. Let v = -0.129 + -1.871. Let u = -3 - -3.2. What is the nearest to k in u, v, 3? u Let b = -25 - -27. Let a = 5.7 + -4.7. What is the closest to -0.1 in 0.3, b, a? 0.3 Let f = -3 - -2. Let c = 114.2 - 114.1. What is the nearest to c in f, -5/4, 0.3? 0.3 Let s = -0.58 - -0.08. Let z = 0.16 + -1.56. What is the closest to -0.1 in z, -3, s? s Suppose 3*j + 2*t - 19 = 4*t, 3*j + 5*t = 5. Which is the closest to 1? (a) 0.4 (b) -0.3 (c) -6 (d) j a Let z be -4 + 7 + (48/(-9) - -2). What is the closest to z in 2/7, 4, -1? 2/7 Let t be (4/14)/(-7 + (-128)/(-14)). What is the nearest to 0 in t, 0.2, -0.5, 2/3? t Let w = 9.4 - 3.4. Let s = w - 5. Let z = -2 + s. What is the nearest to -1/6 in z, -1/4, 0.1? -1/4 Let k = 16.7 - 17. Let h = 0.36 - -0.14. Let c = -3 + 1. What is the closest to 1/2 in c, h, k? h Let x(c) = -13*c**3 + c**2 + c. Let d be x(-1). Let p = 12 - d. Let b = -1.7 - -1.2. What is the closest to p in -4, -5, b? b Suppose -5*j - 8 = -3*f, -2*f + 2*j + 8 = -2*j. Let r = 542.9 - 518. Let p = r - 25. Which is the closest to p? (a) f (b) 1 (c) -2/5 c Let z = 324 + -323.9. Which is the closest to z? (a) 3/5 (b) 4 (c) 1.5 a Let t = -467/1659 - 1/237. Which is the closest to 1? (a) 0.3 (b) 5 (c) t a Let v = 521 + -521. Let g = -0.18 + 0.2. Let j = -0.28 - g. Which is the nearest to 0.1? (a) v (b) j (c) 1 a Let o = -4.4 - -4.3. Which is the closest to -2? (a) -2/7 (b) -2 (c) o b Let o = -1.03 - -0.83. What is the closest to o in -5, 3/4, -2/3? -2/3 Let z = 20 - 57. Let m = z - -37.6. Which is the closest to -2/3? (a) 0.2 (b) m (c) -0.5 c Suppose -3 = 3*c, 0 = -z - 3*z - 5*c - 21. Let y = 49 - 53. Let o = y - z. What is the closest to o in 3, 4/5, -2/5? -2/5 Let n = 4233 - 4240.132. Let y = -0.132 - n. What is the nearest to 1 in y, 0, -0.5? 0 Let t be (-27)/18*(-12)/(-63). Which is the closest to 0.4? (a) -0.3 (b) t (c) 0.3 (d) 2/5 d Let k(x) = -x**2 - 32*x - 1. Let g be k(0). Which is the closest to 1? (a) 5/9 (b) g (c) -2/5 (d) 2 a Let f = -361 + 361. Which is the nearest to -1/4? (a) f (b) 5 (c) -3/7 (d) 82 c Let s be (392/9)/7 + -18 + 12. Which is the nearest to s? (a) 4 (b) 5 (c) -0.4 (d) -0.9 c Let t = 12/61 + 87/488. What is the nearest to -2/5 in 0, t, 0.06? 0 Let l(j) = -j**3 + 3*j**2 + 4. Let x be l(3). Let h = 41/3 - 13. What is the nearest to h in -2, 2/7, x? 2/7 Let z = -105 - -104.7. What is the closest to 2/15 in 4, 0.2, z? 0.2 Let n = -57 + 20. Let w = n - -37.4. Which is the closest to -3? (a) 2/7 (b) 2/3 (c) w a Let z be (14/(-210))/(3/(-10)). Which is the closest to 1? (a) z (b) 4/5 (c) 5 b Let l be 0 + 1 + (-5)/7. Let y = 0.05538 - -0.94462. Let s = -19/42 - 3/14. Which is the nearest to s? (a) y (b) l (c) -3 b Let z = -130.1 - -1
{ "pile_set_name": "DM Mathematics" }
ich is smaller: o or x? x Let a = 3 + -4. Let k be (2/4)/(a/(-4)). Suppose 0*h - 3*h = 0. Is h bigger than k? False Let w be 6/(-71) - (0/(-1))/(-2). Which is smaller: w or -1? -1 Let x = 20 - 9. Suppose -2*q - 3*r + x = 0, -q + 5*r - 15 = -6*q. Which is smaller: -12/5 or q? -12/5 Let w be 1/(-1 - 0)*-25. Suppose 5*j - w = -3*n - 6, 2*j = -2*n + 10. Let u be (-5)/3*j/5. Which is greater: u or -1? u Suppose 1 + 1 = j. Let b be -4 - (3 - 4 - j). Which is bigger: -1/8 or b? -1/8 Let w = 248/1073 - 6/37. Which is smaller: 1 or w? w Let m(d) = -d - 4. Let c be m(-8). Let n = -5 - -8. Suppose 5*l - 5*s = -15, l - 3*s + 7 = -n*l. Which is greater: l or c? c Let w = -129/190 + 3/38. Is -2 != w? True Let s = 22 - 26. Let y be -1*((-20)/5 - s). Let t be ((-1)/(-8))/((-6)/8). Is t != y? True Let b = -29 + -40. Which is smaller: b or 0? b Suppose 2*g - 155 = -3*g. Suppose -4*t = 4*j - 3*t - g, 0 = 4*t + 20. Let q = j - 13. Is q <= -5? False Let c be 6/(-18) - 128/21. Let l = c + 159/28. Which is greater: 0 or l? 0 Let w(j) = -2 - 3 + 1 + j. Let p be w(4). Let d = 0.2 + 3.8. Are p and d equal? False Let u be (-99)/(-130) + 8/(-10). Is u != 1? True Let m = -0.5 - -1.5. Let b = m - -1. Which is bigger: 0 or b? b Let t = 113 - 141. Is t greater than or equal to -28? True Let o(p) = p**2 - 6*p - 8. Let d be o(7). Which is smaller: d or 0? d Let g = 1.6 - 0.8. Let k = 0.5 - g. Let r = k - -0.4. Does r = 0.2? False Let o be (-4)/10 + 368/20. Suppose 7 + 5 = -3*d + k, 3*d - 3*k = -o. Let i be -1 + d/6*-2. Which is greater: i or -2/3? i Let r be -1*(-1)/1 - 1. Is -1/54 bigger than r? False Let o be 6/8 - (-22878)/(-840). Let g = -131/5 - o. Suppose 3*f - 4 = 2*f. Which is greater: g or f? f Suppose o + o - m = -63, 0 = 3*o + 5*m + 62. Is o != -30? True Let c = 6/655 + -3363/152615. Let g = c - 905/2097. Is g bigger than -1? True Let x = -3 + 5. Let m = 1 - x. Do m and -3/7 have the same value? False Suppose -5*g = 103 - 18. Let m = g - -18. Which is smaller: m or -2/11? -2/11 Let u = 13 + 3. Let c = 15 - u. Which is greater: 3 or c? 3 Let c(s) = s**2 + 2*s - 2. Let r be c(2). Let g = 7 - r. Are g and -1 non-equal? True Let s(w) = -9 + 12*w + 14 + 2*w**2 + 10 - 3*w**2. Let n be s(13). Which is bigger: n or 1? n Let m(d) = 3*d - 3. Let f be m(-7). Let h be (-2)/f*(-4 - -6). Is h bigger than 2/7? False Let x = -9 + 4. Let z = -5.3 - x. Is 3/5 at least z? True Suppose 0 = 4*f + 4*a - 20, 0*a - a + 3 = 0. Let q be 7/4 + f/8. Suppose j + 14 = 8*j. Is j bigger than q? False Let p(a) = -a**3 - 2*a**2 + 3. Let k be p(0). Which is smaller: -1/6 or k? -1/6 Suppose -2*a - 4*x = 4, 0*a + 5*a + 10 = 4*x. Which is smaller: -10 or a? -10 Suppose n + 19 = 3*c + 6, -3*c = -4*n - 52. Suppose 0 = -2*u - 21 + 9. Let o = n - u. Which is greater: o or -6? -6 Let y(p) = p - 8. Let x be y(8). Which is greater: x or 2/17? 2/17 Let s be (-8)/((7/42)/((-1)/(-2))). Is s greater than -22? False Let t be 42/(-104) - 3/(-12). Let x be (-6)/40 - 9/90. Which is greater: t or x? t Let d be (-6)/(-4)*(-24)/18. Let q = 2 + d. Is 0 smaller than q? False Let n = 0.029 + 0.971. Let w = -3/41 + 91/123. Is n at most as big as w? False Suppose -36 = -5*b - 5*t - 11, -2*t = 8. Is 8 less than or equal to b? True Let k = -57 + 58. Which is smaller: k or -1/12? -1/12 Suppose c + 1 = 9. Suppose -c*s + 4*s + 4 = 0. Which is bigger: 4/15 or s? s Suppose 2*d = -2*d + 20. Suppose 2*g - 24 = d*g. Do g and -8 have the same value? True Let s = -1666 - -919. Let q = s - -491. Let z = q - -2814/11. Are z and 0 nonequal? True Suppose -3*n + 3*f + 6 = 0, 0*f + 5*f - 5 = 0. Is n smaller than 11/4? False Let b = -32.8 + 33. Is b >= -0.1? True Let z = 4 - 7. Which is smaller: z or -2? z Let r(p) = p**2 - 4*p. Let o be r(5). Suppose -o*d = -2*d + 45. Let w be (-2)/3 - (-20)/d. Is -2 at most as big as w? True Suppose -3*w = -o + 4*o - 12, -5*o + 24 = w. Let i be 0 + 1 + w*2. Which is greater: i or -1/2? -1/2 Let p = -2/653 + 60082/1959. Let k = -31 + p. Let x(f) = -f + 1. Let n be x(0). Do k and n have the same value? False Suppose -5*q = -4*g + 21, 5*g - 4*q - 22 = -2*q. Suppose g*v + v = 0. Is 0 less than v? False Let g be -1 + 86/32 + 0 + -2. Are 0 and g nonequal? True Let h = 3 + -2.7. Let s be (26/39)/(14/(-6)). Which is greater: h or s? h Suppose 0 = 4*b + 4*t, -5 = -5*b + t + 13. Suppose -b*v - 4 = -5*v. Which is greater: 3/5 or v? v Let s be 2/(-6) - 2/(-6). Let j = s + 4. Suppose w = j*w. Which is greater: w or -2? w Let y = 747/1157 + 11/89. Is 1 at most as big as y? False Let p be 16 - (2/4 + (-2)/(-4)). Is 15 smaller than p? False Suppose 57 = 5*j - 2*j. Is 20 at least j? True Let u = 15 + -10. Let j = -1 + u. Which is bigger: 0.1 or j? j Let g = -4 - -15. Is 11 != g? False Let z be 17*(-2)/6 - -1. Is z <= -6? False Suppose 3*w - 2 = 7. Suppose o + 7 = 4*c - 17, -33 = -w*c - 3*o. Is c at most 7? True Let s = -2/59 + -96/649. Which is bigger: s or 0.12? 0.12 Let q be 126/15 - (13/(-5) - -3). Is q at least -3? True Let v = 3/32 - -81/160. Suppose 3 = 3*w - 0. Let j be (-2 + 1)/(-2 + w). Which is smaller: v or j? v Let h be 2*((-7)/(-2) + -3). Let i be h/(-6) - 32/24. Is i at least as big as 0.2? False Suppose -j - 7 = 5*n, 2*n = -0*j + 2*j + 2. Let x(g) = -5*g**3 - g**2. Let a be x(n). Suppose a = -4*h - 0*h. Is h at most as big as -2/9? True Let s(m) = -2*m + 28. Let q be s(13). Is -5 not equal to q? True Let b = 8022/17 - 472. Is -2 > b? False Let r(y) = 55*y**3 + y**2. Let z be r(1). Suppose 7*a = 3*a - z. Let v be 1 - (2 - (-10)/a). Is v not equal to 1? True Let o = 0.07 - 0.08. Let a = -4.4 + 4.11. Let n = a + o. Which is smaller: 0 or n? n Let o be (0 + 1)*6/(-3). Suppose -1 + 5 = 2*w. Is o not equal to w? True Let r = 10 - 9. Let h = r + -2. Are -3 and h nonequal? True Let u(w) = -w - 1. Suppose -5*s = b - 19, 0 = 3*s - 0*s - 5*b + 11. Let a be u(s). Which is greater: -3 or a? -3 Let q be 0 - ((-4)/6)/((-114)/(-18)). Do -1 and q have different values? True Let v = -34 - 6. Is v greater than -39? False Let z be 305/10 + 1/(-2). Suppose -10 = -s - z. Let m be -4*2/s*-1. Does 0 = m? False Let m = 66.9 + -67. Is m < -54? False Let x(y) = y**3 + 3*y**2 - y + 2. Suppose b + 12 = -3*b. Let v be x(b). Which is bigger: v or 6? 6 Let v = 1210043506/615 + -1967550. Let o = v + -2/123. Which is smaller: -1 or o? -1 Let k be ((-5)/(-20) - 2) + (-3)/(-4). Which is bigger: k or 1/8? 1/8 Suppose 3*z - 8*z = 10. Let p(o) = o**2 + 4*o + 3. Let i be p(z). Which is smaller: i or -1/13? i Let o = -167/4 - -42. Which is greater: 5 or o? 5 Let b(t) = t**3 + 14*t**2 + 12*t + 14. Let c be b(-13). Is c not equal to 0.1? True Let h = 1 - -1. Let v be 1/h*18 - 2. Do 6 and v have the same value? False Suppose 0 = 27*h - 21*h - 102. Which is greater: 15 or h? h Let f(k) = -3*k**2 + k. Suppose -3*z - 5*b = 3, -5*z = -5*b + 5 - 0. Let o be f(z). Let j = -2 - o. Is 3 > j? True Let k(w) = w**2 - w - 16. Let h be k(0). Let a be 23/4 + (-4)/h. Suppose -a*p - 6 = -4*p. Is -3 > p? False Let x = -63 + 61. Is x bigger than -2/7? False Let f(h) = -h**3 - 8*h**2 + 2*h + 9. Let s be f(-8). Do -1 and s have the same value? False Let f = -18 + 13. Are f and -6 equal? False Let n(b) = -b**2 - 9*b - 8. Let g be n(-6). Suppose -g = -5*v, 2*v - v = 3*a + 2. Is a smaller than -2? False Let h = -9 - -14. Suppose 4*l = 3*p, -h*p = -l - 0*l. Is 0 less than p? False Suppose 4*x - 4*k = -12, 0 = 2*x + k - 2*k + 5. Let i = 2 - x. Let g = -7 - -10. Is i at most as big as g? False Let j = -53 + 57. Let m = -3 - -8. Which is greater: j or m? m Let x = 93.06 + -92. Let d = x - 0.06. Let g = 8 - 7.7. Which is smaller: g or d? g Let r be -1 + 1 + 4/16. Let a(z) = -z**2 + 7*z + 2. Let c be a(5). Let o be 4/c - (-4)/6. Which is smaller: o or r? r Let m(d) = -d**2 - 5*d - 3. Let a be m(-4). Let v be 12/(-40)*(-6)/a. Which is greater: 2 or v? 2 Let w = -374 - -2628/7. Is 1 <= w? True Let n(j) = -j. Let y be n(-2). Which is smaller: y or 2/13? 2/13 Let x be (-37)/(-12) + (-7)/21. Are x and 2 nonequal? True Let a be 33/(-148) + 6/(-192)*-8. Which is greater: 1 or a? 1 Suppose 3*r + 0*n = 2*n - 50, -3*r - 3*n - 30 = 0. Which is greater: r or -12? -12 Let i(z) = z**3 - 4*z**2 + 2*z - 1. Let k be i(3). Let t = k - -4. Suppose -2*q - 3*o = 2*o + 22, -q + 11 = -3*o. Is q not e
{ "pile_set_name": "DM Mathematics" }
- 0. Let p(s) = 2*s - 2 - 14 + a. Let o be p(10). Solve -5*m - 3*b = -0*b - 2, 3*m - 2*b = o for m. 1 Let x(t) = t. Let y be x(3). Let k = 79 + -81. Let i be (k*6/18)/(2/(-6)). Solve -y*o = i*o - 10, -4 = 5*m + 3*o for m. -2 Let x be 2/(-9) - 456/(-108). Let f = -2 + x. Let b = 86 - 81. Solve 3*i = f*q, 5*i + 22 + 3 = -b*q for q. -3 Let m = 788 - 786. Solve s = -m*d - 7, 0 = -10*s + 7*s + d - 7 for s. -3 Let a = -61 + 19. Let f be (-6)/(-4)*(a/18 + 5). Solve 0 = -3*l + 4*d - 7 - 2, -4*l + f*d - 8 = 0 for l. 1 Let n be 4 + 11/(-3) + (-1)/3. Solve 2*a = -n*a + 4*v + 26, -4*v - 20 = 0 for a. 3 Let g(o) = o**2 + 23*o + 107. Let n be g(-6). Solve 5 = -5*i - 5*q, i + 2*q - 4 = n*i for i. -1 Let o = 16 + -10. Let y be 277/o - 2/12. Suppose -5*n + 92 = 4*x - n, 2*x - y = -5*n. Solve -2*u + 5*g - x = 0, 3*g - 17 - 4 = 3*u for u. -4 Suppose 0*h + 15 = 5*o + 5*h, 3*h = 5*o - 7. Suppose -4*i = -o*s + 22, s + 3*i + 10 = -2*i. Solve 0 = -4*v - s*l + 11, 3*l - 9 = -4*v - 4 for v. -1 Suppose -56*i - 3 = -227. Solve -2*w = i*q, 4*q - 6 + 2 = -4*w for q. -1 Let c = -40 - -43. Solve 4*s + 8 = 4*d - 0*d, c*s - 4*d = -5 for s. -3 Let k(m) be the first derivative of -m**3/3 - 2*m**2 + 7*m + 3. Let q be k(-5). Let l be (2/(-4))/(2/(-4)). Solve 3*x + y = 20, -q*y = -3*x - l + 6 for x. 5 Let x be 328/28 - 8 - 4/(-14). Solve 0 = 2*i - j + 3*j - 20, -x*j = -20 for i. 5 Suppose 38 + 17 = 5*g. Suppose 0 = -x - m + g, 2*x + 5*m = -2*x + 48. Suppose c - 3 - 2 = 0. Solve -x*k = 2*z - 2*k + c, 5*z + 24 = -k for z. -5 Suppose 0*z - 4*z + 380 = 0. Let a be (-6 + 3)*z/(-15). Solve -3*h = 2*k - 13, -5*k = -3*k + 5*h - a for k. 2 Let v be 4*(-1)/8*-4. Suppose -c - v*c + 5*q = -2, c - 14 = -5*q. Let j(b) = -b + 11. Let w be j(c). Solve w + 11 = -5*i + g, 2*g + 4 = 0 for i. -4 Let o = 1819 - 1788. Solve 4*q + 56 = 5*b + 16, 4*b = 3*q + o for b. 4 Let c(a) = -a**3 - 12*a**2 + 38*a + 144. Let g be c(-14). Solve 3*d - 11 = 5*p - 4, -21 = -5*p - g*d for p. 1 Suppose 2*c = -2*z - 1 + 11, -2*c = 4*z - 18. Solve 20 = -5*i, -z*i - 1 = 5*n - 2*n for n. 5 Suppose 0 = -6*u + 4*u. Suppose -3*o - 7 + 22 = 0, 4*y + o - 25 = u. Solve 2*v - x = -10, -x - x - 25 = y*v for v. -5 Let l be ((-38)/6 - -5)*(-6)/4. Solve -l*r + 7*r + 7 = 3*s, -3*s - 11 = 4*r for s. -1 Let h(k) = k - 28. Let f(s) = -28. Let a(v) = 3*f(v) - 4*h(v). Let n be a(6). Solve -5*t + 9*c - 15 = n*c, -t - 9 = 2*c for t. -5 Let b(u) = -28*u**2 + 2*u - 2. Let c be b(2). Let s = c + 114. Solve 11 = -n - 2*h, 4*n - 2 + 34 = -s*h for n. -5 Suppose -4*k - 14*y + 16*y = -152, 4*y = -4*k + 128. Solve 4*o = -3*g - 21, -5*o + 15 = 2*g + k for g. -3 Suppose 254 = 45*x - 286. Solve -5*f - 3*m + x = 0, 4*f - m = f - 4 for f. 0 Let b(s) = s**3 - 11*s**2 + 13*s - 14. Let d be b(10). Let m = d + -11. Solve 4*l = 3*o - 2*o + 3, -4*o - m*l = -30 for o. 5 Suppose -10*k = -7*k + 27. Let b = k + 21. Solve -2*d = 5*g + 26, 0 = -d - 3*d - b for g. -4 Let x(j) = -5*j - 14. Let p be x(-3). Solve -p = -5*f + 3*y + y, 0 = -4*f - 5*y - 32 for f. -3 Suppose -3*x = -x - f + 1, 3*f - 3 = 0. Suppose 2*z = -x*z. Solve z = 4*g + 6 - 2, -2*g + 2 = -2*j for j. -2 Let x(f) be the third derivative of f**5/60 - f**4/24 - 2*f**2. Let o be x(2). Let p be -3 + o + (-24)/(-8). Solve -r = -2*a + 7, -p*a + r - 2*r = -5 for a. 3 Let j = -255 + 261. Solve -9 = -3*c + j, -3*h - 4*c + 17 = 0 for h. -1 Let s be 3 - (910/(-49) - (-6)/(-14)). Solve 2*a + s = -4*p, -p - 5*a - 38 = -10 for p. -3 Let d(c) = 3*c - 21. Let t be d(7). Suppose t = 4*o - y + 4, 4*o + 3*y = 10 + 2. Solve 4*r + 12 = o, -2*v + 5*v - r = 0 for v. -1 Let c = 14 + -1. Suppose -d - 2*i = -c, 2*d - 13 = -2*i + 5. Solve -3*q + 8 = -d*q, -w + 4*q + 17 = 0 for w. 1 Suppose l - 3 + 6 = 0, 88 = 4*y + 4*l. Solve 2*u - 2*j - 10 = 2*j, -5*u + y = -3*j for u. 5 Suppose -4*d + 20*d - 112 = 0. Solve -l + 4*x = -d, 5*l + 7 - 4 = x for l. -1 Let q(v) = v**3 - 4*v**2 - 4*v - 1. Let u = -9 + 14. Let d be q(u). Suppose -6*m = -d*m - 10. Solve k + 17 = -0*g + m*g, 0 = 2*g + 2*k - 2 for g. 3 Let v(u) = u**3 - u**2 - 3*u + 6. Let c be v(-2). Solve 3*x + 25 = -2*o, c = -2*x - 1 - 9 for o. -5 Suppose -3*z + 90 = 3*b, -4*z + 8*z = -3*b + 118. Let c(f) = f + 15. Let j be c(-11). Let v = z - j. Solve -2*g = -4*o + v, 0 = 2*g - 4*o + o + 20 for g. -4 Let c = 6 - 2. Let i be (4/(-16))/(c/(-48)). Suppose 0 = -4*v - 5*j + 26 + 8, i*v - 2*j - 14 = 0. Solve m = -b + 2, -b = -4*b + v for m. 0 Suppose -2*s = 3*s - 3*s. Let d be ((-1)/2 + s)*(-48 - -42). Solve 0 = 5*t + 5*m + 10, -d*t - 2*m + 0 = 2 for t. 2 Suppose -4*y + 0*y - 2 = 5*j, 5*j - 3*y = 19. Solve -22 = -4*t - j*z, 3*t + 6*z = 10*z for t. 4 Suppose 5 - 29 = -4*a. Suppose -2*f + 16 = -7*f - 3*i, f - 10 = -5*i. Let z = -2 - f. Solve -3*v - 3*d + z = -a*v, 3*v = -4*d - 10 for v. -2 Suppose 4*a + 3*k - 58 - 57 = 0, 3*a - 3*k - 60 = 0. Suppose -a*c = -29*c. Solve 4*o - 4*q - 16 = -0*q, o + 2*q + 2 = c for o. 2 Suppose 3*h + 53 - 20 = -5*w, -70 = 4*h - 2*w. Let v = 21 + h. Solve 5*g + 2*f = 3*g + 2, -4*f = v*g - 6 for g. 2 Suppose -2*y + 32 = 6*y. Suppose 5*h = -g + y*g + 10, 3*h = 3*g. Solve 0*m + 5*m = -g*i, 5*m = 2*i - 28 for m. -4 Let i(u) = -4*u - 9 - 3 + 4*u**2 - 3*u**2. Let l be i(6). Solve 2*s = 0, 4*y = -l*s + 4*s - 16 for y. -4 Let z = -25 + 37. Suppose -5*l + 3*j = -z, -2*l - j + 5 + 2 = 0. Suppose -2*v = l*q, -v + 4 = 4*q + 9. Solve -f - 3*d - v = -2*d, -f - 11 = 5*d for f. -1 Let o(l) = -2*l - 7. Let u be o(-9). Let j = u - 7. Solve 4*a = 16, -4*z + z + j*a - 10 = 0 for z. 2 Let a(s) = -2*s**2 - 3*s + 2. Let b be a(0). Suppose 0 = 4*x + o - 69, o - 7 = -b*x + 6*o. Solve 2*y + 25 - 5 = 3*g, x = -4*y for g. 4 Let a be (-960)/(-280) - 3/7. Solve -3*f - 2*z + 0 + 2 = 0, 0 = -a*z - 15 for f. 4 Suppose 149*h = -238*h + 9675. Let l = 8 + -5. Solve 0 = -l*r + 2*q + 3*q + 37, -h = 5*q for r. 4 Let z = 9 - -10. Let i = z - 16. Suppose -3*o + 5*u = o - 27, -4*o + 4*u + 24 = 0. Solve 2*p = -i + 7, 2*p - 7 = -o*c for c. 1 Suppose -5*l + 516 = -94. Suppose l = 32*u - 70. Let v be (-4)/(-10) - 36/(-10). Solve -h + 4*h = v*w - 3, -u = -3*w + h for w. 3 Let c = -36 - -50. Let a be 88/c - (-4)/(-14). Suppose -13 + a = -z. Solve -4*l + 16 = 4*x, 3*x - z = -4*l + 2*x for l. 1 Let y(c) = c**3 - 9*c**2 + 4. Let p be y(9). Solve -15 = 3*w, -w + p*w = -n - 11 for n. 4 Let w be (-18)/(4 - 7) + -2. Let j be (-3)/(-4) + (-372)/(-16). Suppose j = 5*d + w*v, -5*d - 2*v + 35 = 13. Solve 2*b = -d*u - 2, 0 = 5*b - 5*u - 6 - 34 for b. 5 Suppose 0 = 3*c + 2*r - 13, -c - r - 75 = -80. Solve -c*y - 3*t = -2 + 14, -2*y - 2 = -t for y. -2 Suppose -332*u + 331*u = -167. Let q = u + -165. Solve v - q = -4*i - 0*i, 0 = 5*v + i + 9 for v. -2 Let z be (-30)/(-120) + 19/4. Solve 0 = 5*t - 2*w + 22, -2*t + z*w - 19 = -6 for t. -4 Let y(c) = -3*c**3 - c**2 - 3*c - 3. Let h be y(-1). Solve -h*n + 4 = -2*k, -3*n - n = -5*k - 6 for n. 4 Suppose -12 + 2 = -5*n. Suppose 5*r - 2*b - 50 = 0, 2*r - 3*b + 0*b - 31 = 0. Suppose 24 = 2*g + g. Solve i + 2*i + g = 2*m, -i = n*m - r for i. 0 Suppose 3*f - 11 = -5. Suppose 12 = 5*z - 2*q, f*z - 5*q = 4 - 16. Solve -z = -0*k + 4*k, 3*k + 7 = -j for j. -4 Let j = -9 + 69. Suppose -84 - j = -9*r. Solve 4*p - r = 4*o, o - 2*p = 3*o - 4 for o. -1 Let d = -2807 + 2811. Solve -8 = 4*w - d*j, 6 = -3*w - 2*j - 0 for w. -2 Suppose 3*t + 2*n = -0*n + 5, -2*t = -n - 15. Suppose -4*q - 13 - 5 = z, 30 = -t*q - 5*z. Let o = q + 16. Solve -2*x - 2*m = 12, 0*m - 2*m + o = -4*x for x. -4 Let z be (0/(-2))/(-5) + 113/1. Let g = z + -108. Solve g*m + 0*h = -h - 21, 2*m = 5*h - 3 for m. -4 Suppose 0*q + 4*q - 28 = -2*v, -5*q + 2*v + 17 = 0. Let n be 3*(q + (-16)/6). Let a be (1/2)/((-1)/(-8)). Solve -a*k + n = -3*k - 3*c, 3*k - c - 13 = 0 for k. 4 Suppose -3*j - l = -12, -5*j + 12*l + 20 = 7*l. Solve 5*k = -2*i + i - 5, j*i = -k + 18 for i. 5 Suppose 11 = -i - 5*g, 0*i - 13 = 2*i + g. Let l(h) = -2*h - 8. Let t be l(i). Suppose -3 = -t*f + 17. Solve 2*b = d + b - f, 5*b = 4*d - 24 for d. 1 Let r = 9 + -1. Let w be r/(-10)*165/2. Let b be -10*(4 - w/(-15)). Solve -7*j + 12 = -b*d - 2*j, 0 = -j + 4 for d. 2 Suppose 2*w = -3*x - 5 - 4, 4*w - 5*x - 37 = 0. Solve w*j - 2*k = -0*k - 6, 4*j - 3*k + 9 = 0 for j. 0 Suppose 4*s + 39 = 5*v + 137, 5*v = 5*s - 120. Let r be ((-6)/(-4))/(11/s). Let q = r - -1. Solve -q
{ "pile_set_name": "DM Mathematics" }
r. Suppose 0 = -5*i + 2*i + 39. Calculate i*k(m) + 6*h(m). -m + 1 Let c(t) = 2*t + 1. Let m(z) = 6*z + 3. Determine 17*c(u) - 6*m(u). -2*u - 1 Let w = 2 + -7. Let d(g) = g - 7. Let i(p) be the second derivative of p**3/6 - 4*p**2 + 18*p. Determine w*i(m) + 6*d(m). m - 2 Suppose -3*i = -f - 13, -5*f + 0*f = i + 17. Let j(v) = 6*v**2 + 2*v + 3. Let s(w) be the second derivative of -w**4/12 - w**2/2 + 89*w. What is f*s(t) - j(t)? -2*t**2 - 2*t + 1 Let p(s) = 7*s**2 - 5*s - 6. Let z(l) = -l + 1 - l**2 - 4*l + 2*l + 4*l. Calculate -p(u) - 6*z(u). -u**2 - u Let a be (-2 + 1)*10/2. Let f(b) = -4*b + 2. Let y(r) = 3*r - 2. Calculate a*f(i) - 6*y(i). 2*i + 2 Let k = -141 - -137. Suppose 5*m - 8 = 3*m - 2*x, -23 = 3*m - 4*x. Let v(r) = -r + 1. Let p(j) = 2*j - 3. What is k*v(d) + m*p(d)? 2*d - 1 Suppose -2*c + c = 5, 4*c - 10 = -5*d. Let w(b) = 3*b + 2*b + 18 + 2*b - 9. Let r be 11 + 2/1 + -2. Let y(p) = -4*p - 5. Determine d*w(z) + r*y(z). -2*z - 1 Let c(d) = -7*d**3 + 5*d**2 + 8*d + 5. Let g(k) = k**3 - k**2 - k - 1. What is -c(f) - 5*g(f)? 2*f**3 - 3*f Let d(b) = 3*b**2 - 5*b + 7. Let n(o) = -3*o**2 + 2*o + 7. Let i(t) = -t**2 + t + 1. Let m(z) = -4*i(z) + n(z). Calculate 2*d(y) - 5*m(y). y**2 - 1 Let q(s) = 6*s - 6. Let d(k) = 121*k - 121. Let z(b) = -8*b + 8. Let g(t) = 3*d(t) + 44*z(t). Calculate -4*g(f) + 7*q(f). -2*f + 2 Let x(p) = -5*p**3 - 2*p**2 - 3. Let w(s) = -26*s**3 - 11*s**2 - 14. Determine 2*w(z) - 11*x(z). 3*z**3 + 5 Let f(g) = 2*g + 2. Let y(t) = -4*t - 3. Let b be ((-5)/10)/(2/28). What is b*f(o) - 4*y(o)? 2*o - 2 Let g(m) = -7*m**3 + 4*m**2 + 4*m - 2. Suppose n = -2*n + 15. Let z(x) = 8*x**3 - 5*x**2 - 5*x + 3. Calculate n*g(h) + 4*z(h). -3*h**3 + 2 Let f(w) = -5*w**3 - 6*w**2 - 5*w - 5. Let k = 7 - 5. Suppose -2*j + 4 = k*j. Let g(v) = -v**3 - v**2 - v - 1. Determine j*f(h) - 6*g(h). h**3 + h + 1 Let l(g) = g**3 + 3*g. Let c = 25 + -14. Let t = c - 8. Let w(h) = -h**3 - h. Give t*w(v) + l(v). -2*v**3 Let i = 12 - 6. Let b be -2*(-1 + i/(-4)). Let j(u) = -12*u + 21. Let s(p) = -4*p + 7. Let z(a) = 3*j(a) - 8*s(a). Let f(w) = w - 1. Give b*f(q) + z(q). q + 2 Let u(q) = 4*q**2 + 4*q - 1. Let t(k) = 9*k**2 + 9*k - 2. What is 6*t(j) - 13*u(j)? 2*j**2 + 2*j + 1 Let o(b) = -11. Let t(x) = x + 22. Let n(y) = -5*o(y) - 2*t(y). Let v = 8 - 23. Let w = 21 + v. Let q(i) = -i + 6. Calculate w*n(d) - 11*q(d). -d Let z(y) = 2*y**2 + 22*y - 42. Let m(k) = -k**2 - 9*k + 17. Determine -12*m(t) - 5*z(t). 2*t**2 - 2*t + 6 Let q(y) = -7*y**3 - 3*y**2 + 2*y + 2. Let c(i) = i**3 - i**2 + i - 1. Determine -3*c(o) + q(o). -10*o**3 - o + 5 Let h(z) = z**3 + z. Let t(f) = -f**2 + 10*f. Let g be t(9). Let u(a) = 4*a**3 + 4*a - 1. Determine g*h(m) - 2*u(m). m**3 + m + 2 Let y(o) = -11*o**3 - 13*o**2 - 13*o + 7. Let s(c) = 5*c**3 + 6*c**2 + 6*c - 4. Calculate -13*s(b) - 6*y(b). b**3 + 10 Let j(v) = -v**3 + 3*v**2 + 8*v + 6. Let n be j(5). Let z(t) = -t**3 + t**2 - t - 1. Let f(p) = -10*p**3 + 9*p**2 - 9*p - 9. What is n*f(y) + 36*z(y)? 4*y**3 Suppose 2*o - 4*m = 7*o - 15, -2*o = -3*m + 17. Let i(y) = -y + 1. Let l(q) = -4*q + 2. Suppose 0*w - 4*w + 20 = 0. What is o*l(g) + w*i(g)? -g + 3 Let z(n) = -n. Let l be ((-99)/66)/(3/4). Let t(d) = d**2 + 5*d - 2. What is l*z(s) - t(s)? -s**2 - 3*s + 2 Let x(p) = 11*p**3 - 9*p**2 - 9*p. Let a be 1 + 0 - (0 + -3). Let t(f) = -5*f**3 + 4*f**2 + 4*f. What is a*x(q) + 9*t(q)? -q**3 Let y(p) be the second derivative of 3*p**5/20 - 5*p**4/12 + 2*p**3/3 + p**2/2 + 7*p. Let o(d) = -2*d**3 + 4*d**2 - 3*d - 1. What is 4*o(m) + 3*y(m)? m**3 + m**2 - 1 Let q(y) = -y**3 + 2*y**2 + 5*y - 2. Let g be q(3). Suppose -g*m = -m - 2*v + 8, 4 = 4*v. Let c(s) = 5*s**2 - 13. Let j(d) = d**2 - 3. What is m*c(f) + 9*j(f)? -f**2 - 1 Let z(u) = 11*u**3 - 8*u**2 - 8*u - 2. Let l(y) = 4*y**3 - 3*y**2 - 3*y - 1. Calculate -8*l(f) + 3*z(f). f**3 + 2 Let m(g) = -4*g**3 + 2. Let r = -43 - -45. Let a(n) = -8*n**3 + 5. Determine r*a(b) - 5*m(b). 4*b**3 Let a(p) = -2*p - 23. Let y(j) = -j - 12. Let x(g) = 6*a(g) - 11*y(g). Let f(b) = -b**2 - 7*b - 1. Let z be f(-7). Let u(k) = 1. Calculate z*x(s) - 4*u(s). s + 2 Let m(o) = -o**2 - o. Let i(y) = 4*y. Suppose 4*t - 2*b + 8 = 2*b, 12 = -3*t + 5*b. Give t*i(u) + 3*m(u). -3*u**2 + u Let u(c) = -4*c**2 + 5*c - 9. Suppose 0 = 5*d - 2*d. Suppose 4*x - 8 + 0 = d. Let o(t) = -t**2 - 4 - 5*t**2 + 4*t**x + 2*t. Calculate -5*o(b) + 2*u(b). 2*b**2 + 2 Let v(h) = 2*h**2 - 3*h + 3. Let n(i) = -i**2 + 4*i - 4. What is -3*n(t) - 4*v(t)? -5*t**2 Let b(v) = -1. Let u(y) be the second derivative of y**5/10 - y**3/3 + 2*y**2 - y. What is 4*b(f) + u(f)? 2*f**3 - 2*f Let t(q) be the second derivative of q**4/3 + q**3/3 - q. Let o = -4 - -1. Let s = 0 - o. Let k(l) = 5*l**2 + 2*l + 1. Calculate s*t(d) - 2*k(d). 2*d**2 + 2*d - 2 Let i = 5 - 11. Let m(c) = 3*c**2 - 1. Let f(d) = -2*d**2 + d. Let r(l) = 5*f(l) + 6*m(l). Let s(q) = 7*q**2 + 4*q - 5. Calculate i*s(g) + 5*r(g). -2*g**2 + g Let i = -4 - -8. Suppose 28 = -3*w + i*k, -5*w - 45 = 4*k - 9*k. Let h(q) = 3*q**2 - 8*q - 11. Let g(j) = -j**2 + 3*j + 4. Give w*g(s) - 3*h(s). -s**2 + 1 Let b(s) be the first derivative of -7/2*s**2 - 13*s + 1. Let l(y) = -4 - y - 3*y - 3. What is 6*b(h) - 11*l(h)? 2*h - 1 Let y(t) = -t - 1. Let g be 23/((2*-1)/2). Let w = g + 6. Let q = 11 + w. Let s(i) = -i - 1. What is q*s(b) + 5*y(b)? b + 1 Let j(q) = -8*q**3 + 5*q**2 + 5*q. Let v(i) = i**3 - i**2 - i. Let p(f) = f + 2. Let n be p(-4). Let w be (2/4)/((-1)/n). What is w*j(t) + 5*v(t)? -3*t**3 Let p(g) = -g**3 - g**2 + g - 1. Let m(o) = 8*o**2 - 4*o + 6. What is m(n) + 6*p(n)? -6*n**3 + 2*n**2 + 2*n Let k(b) = -4*b**2 - b**3 + 4 - 4. Let y(u) = u**2 - 9*u - 8. Let s be y(10). Suppose -s*z - 11 + 3 = 0. Let t(o) = -o**3 - 3*o**2. Determine z*t(j) + 3*k(j). j**3 Let i(r) = 3*r**2 - 2. Let t(c) = c**2 + 4*c - 2. Let s be 44/(-10) - 4/(-10). Let o be t(s). Let y(g) = 10*g**2 - 7. Calculate o*y(a) + 7*i(a). a**2 Let u(g) = 13*g. Let i(t) = -t**3 + t**2 + t. Let c be i(2). Let w(v) = 8*v - 5. Let k(d) = -9*d + 6. Let r(s) = 5*k(s) + 6*w(s). Calculate c*u(f) + 9*r(f). f Let y(t) = 2*t - 5 + 3 + 3*t**3 + t**3. Suppose 4 = -2*v - 0. Let j(d) = -3*d**3 - d + 1. Let x(b) = b**2 - 10*b + 6. Let f be x(9). Determine f*j(n) + v*y(n). n**3 - n + 1 Let t(p) = -p**3 + 6*p**2 + 6*p - 9. Let w(j) = -j**3 + 7*j**2 + 7*j - 10. Calculate -7*t(c) + 6*w(c). c**3 + 3 Suppose 0 = -3*d - 84 - 0. Let n be (-8)/d + 79/(-7). Let o(c) = 3*c**2 - 4*c**2 + 3*c**2 - 3*c**2 + 11*c + 11. Let a(q) = -2*q - 2. Give n*a(u) - 2*o(u). 2*u**2 Let p(g) = -3*g**2 - 2*g + 6. Let b be p(-2). Let v(l) = -3*l**3 - l**2 - 2*l + 2. Let h(a) = a**2 + 5*a - a**2 + 7*a**3 - 5 + 3*a**2. Give b*h(x) - 5*v(x). x**3 - x**2 Let g(a) = -4*a**2 + 5. Let u(j) = 2*j**2 - 2. Give 6*g(p) + 15*u(p). 6*p**2 Let n(p) = -21*p + 5. Let j(k) = -20*k + 4. Give -4*j(z) + 3*n(z). 17*z - 1 Let p(w) = -2*w - 1. Let n be 2/(-11) + 336/(-88). Let u(t) = t + 1. Let m(j) = -4*j - 3. Let z(a) = -m(a) - 2*u(a). Give n*z(q) - 5*p(q). 2*q + 1 Let d = -1 - -6. Let m(g) = 4*g + 1. Let q(t) = 9*t + 3. Calculate d*m(h) - 2*q(h). 2*h - 1 Let p(y) = -10*y**2 + 5. Let u(s) = -39*s**2 + 21. What is -21*p(l) + 5*u(l)? 15*l**2 Let p(u) = 10*u - 3. Let i be 1*(0 + -1 + 8). Let j(c) = 3*c - 1. What is i*j(l) - 2*p(l)? l - 1 Let j(t) = 10*t**2 - 5*t - 3. Let z(m) = -11*m**2 + 6*m + 4. Let k(n) = -6*j(n) - 5*z(n). Let a(x) = 4*x**2 + 2. Determine -3*a(h) - 2*k(h). -2*h**2 - 2 Let m = -1 + 9. Let f(y) = -3*y**2 + 0*y**2 + 0*y**2 + 2 + 6*y**3 + y**2. Let d(t) = -2*t**3 + t**2 - 1. What is m*d(b) + 3*f(b)? 2*b**3 + 2*b**2 - 2 Let l(o) = 1. Let b(v) = -2*v**3 - 13*v - 6. Let t(d) = -d**3 - 6*d - 3. Let a(p) = -6*b(p) + 13*t(p). Calculate -a(g) - 2*l(g). g**3 + 1 Let r = 8 + -11. Let t(a) = -a + 1. Let i(f) = -4*f + 3. Give r*t(o) + i(o). -o Let p(c) = 240*c - 239*c + 0 + 1. Let z(b) = b - 6. Calculate 4*p(h) + z(h). 5*h - 2 Let s(i) = 3*i - 6. Let l(x) = -1. What is 5*l(w) - s(w)? -3*w + 1 Let i(r) = 4*r - 9*r**2 + 3 + 8*r**2 + 3. Let f(n) = -3*n - 5. Let p(m) = -4*f(m) - 3*i(m). Let k(z) = -z + 10*z**2 - 1 + 6*z**2 + 11. Give 2*k(y) - 11*p(y). -y**2 - 2*y - 2 Let l = -3 + 4. Let d(i) = -1. Let t be (-2*5/10)/((-2)/8). Let n(j) = 2*j**2 + 4. Calculate l*n(x) + t*d(x). 2*x**2 Let f(x) = 2 -
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
greatest common divisor of 264 and y. 66 Let h(z) be the second derivative of z**4/4 - 5*z**3/6 + 35*z**2 - 121*z. Let j be h(12). What is the greatest common divisor of j and 52? 26 Suppose -38*n + 8*n + 3960 = 0. Let v(q) = 81*q - 1. Let t be v(1). Let o = n - t. What is the greatest common divisor of 13 and o? 13 Let l be (-2 + (-99)/(-36))/(4/(-16)). Let r be l/6*(-1)/((-3)/(-48)). Suppose -91 = -m + 61. What is the greatest common factor of m and r? 8 Suppose -50 = -3*t - 5. Suppose -52*a + 41*a + 639 + 21 = 0. What is the greatest common divisor of a and t? 15 Let a be (10 - 7)/(-3*(-3)/(-570)). Let k be ((-19)/(a/84))/(4/10). Calculate the highest common factor of k and 441. 21 Let m = -85 - -48. Let q = -35 - m. Suppose -j - q = -170. Calculate the highest common divisor of j and 24. 24 Let v(i) = i**2 - 33*i + 54. Let s be v(10). Let o be (-66)/s - (-954)/16. What is the greatest common divisor of 24 and o? 12 Let a(j) = -28*j**2 + 3. Let p be a(2). Let t = p - -141. Calculate the highest common divisor of 24 and t. 8 Let t be (-4)/(-12)*6 + -32. Let u be ((-88)/(-4) - 10)*(-1 - t). Calculate the highest common factor of 12 and u. 12 Let o(w) = -3 - 9*w**3 + 0*w**3 + 12 + 9*w + 8*w**3 + 3 + 4*w**2. Let t be o(-4). What is the highest common divisor of 13 and t? 13 Let h be (2*378/(-144))/(1/(-116)). What is the greatest common divisor of 441 and h? 21 Let s = 8035 + -7832. Let y(r) = 7*r - 7. Let m be y(5). Suppose -t + f + 0*f + m = 0, -f = 3*t - 88. What is the greatest common divisor of s and t? 29 Suppose 0 = 4*j - j - 51. Let y = 37 - j. Suppose 331 = 5*h + 5*r + 131, 4*r = h - y. What is the highest common factor of h and 12? 12 Suppose 0 = 21*c + 185 - 1970 - 672. What is the highest common divisor of 747 and c? 9 Suppose 0 = 5*j + 2*i - 1475, 4*i - 295 = 2*j - 3*j. Let f = 316 - j. What is the greatest common factor of 441 and f? 21 Let l be 9*-1*(1 + -2) + 237. What is the greatest common divisor of l and 2296? 82 Let k be (-14)/(-21)*3834 + 0. Suppose -4*j = 5*j - k. Calculate the highest common factor of 213 and j. 71 Let t(u) = 17 + u**2 + 16 - 3*u - 31. Let b be t(-3). Calculate the highest common divisor of b and 60. 20 Let p = 124 - 23. Suppose 40*i - w + 2 = 39*i, i + 4*w = 28. Suppose 0 = -i*h - 21 + p. What is the greatest common factor of h and 2? 2 Let b be ((-72)/(-32))/(1/(-36)). Let w = b + 153. Let d be (-100)/75*(2 + (-35)/4). What is the highest common factor of w and d? 9 Suppose -13377 = -14*n - 5*a - 3534, -n + 3*a + 693 = 0. What is the highest common factor of n and 1248? 78 Suppose -4 = f - 4*f + 2*c, 4 = f - 2*c. Suppose -15*a + 120 = 5*s - 13*a, -2*s + a + 57 = f. What is the greatest common factor of s and 598? 26 Suppose -3*n = -8*b - 3, 9*n - 12*n = 3*b - 3. What is the highest common factor of n and 60? 1 Let i be ((-40)/15)/(-8) + 4/6. Suppose w - 4*u + i = 8, 5*u = 0. Suppose 0 = 2*a - a - w. What is the greatest common divisor of a and 1? 1 Suppose 3*h - 4*h + 3*n = -92, 2*h - n = 204. Suppose 24*q = h + 112. Calculate the highest common factor of 81 and q. 9 Suppose s - 643*p - 5087 = -644*p, 3*s - 3*p = 15267. What is the greatest common factor of 120 and s? 24 Let o(a) = 56*a**2 + 42*a - 101. Let b be o(7). Calculate the greatest common factor of b and 132. 33 Suppose 85*d + 21021 = 124*d. What is the highest common factor of d and 1925? 77 Let n = 3114 - 3099. What is the highest common factor of 17580 and n? 15 Suppose 912 = 48*n - 385 + 1. Calculate the highest common divisor of 3078 and n. 27 Let a = 149 - 146. Let h be (7 - a) + 3*536/6. What is the highest common divisor of 32 and h? 16 Suppose -o + 14 + 32 = 0. Suppose 135 = k - 15*c + 14*c, -2*k + 264 = -4*c. What is the highest common divisor of o and k? 46 Let c be ((-35)/15)/((-3015)/(-432) + -7). What is the highest common factor of 98 and c? 14 Suppose 6*h = -24, -3*q = h - 1869 - 9350. Calculate the greatest common divisor of q and 129. 129 Let u = -165 + 366. Suppose 47*l = -9543 + 25805. Let j = l - u. Calculate the highest common factor of 58 and j. 29 Let n = 104 - -22. Suppose -2*b = -5*l - 61, 5*b - 67 = -2*l + 13. What is the greatest common divisor of n and b? 18 Let c be ((-46)/(-23) - (-203)/2)/((-2)/(-4)). Calculate the greatest common factor of 828 and c. 207 Suppose -3935 = -5*c - 2*y, -5*y = 34 - 9. Calculate the highest common divisor of 3 and c. 3 Suppose -69*g - 11*g + 3840 = 0. What is the greatest common divisor of 800 and g? 16 Suppose 1241*t - 1095*t - 167170 = 0. Calculate the highest common factor of 5 and t. 5 Let v be (-2)/(1*8/28). Let m(j) = 10*j + 28. Let t be m(v). Let u = 45 + t. What is the greatest common divisor of 24 and u? 3 Suppose 614 + 1262 = -7*l. Let i = -226 - l. Calculate the highest common factor of 12 and i. 6 Let q = -44988 + 49150. Calculate the greatest common factor of 2 and q. 2 Suppose -5*m = 4*j + 10, 3*j = 6*m + 12 - 0. Suppose -41*p + 1688 + 2740 = j. What is the highest common factor of p and 6? 6 Let r be (13 + -1 + -14)*-69*22/4. Calculate the greatest common factor of r and 1587. 69 Suppose -3 - 2 = 5*g. Let j be (-175)/35 + (-80)/g. Calculate the highest common divisor of j and 25. 25 Suppose 0 = 6*b - 1068 + 1050. Let f be (-83 + -19)*((-2)/b)/1. What is the highest common factor of f and 238? 34 Let f(c) = -10143*c + 1387. Let z be f(-1). What is the highest common divisor of 20 and z? 10 Let h(d) = d**2 + 3*d + 2. Let l be 2 + (0 - (2 - 3)). Let r be h(l). Let m(x) = 278*x - 2044. Let k be m(8). Calculate the highest common factor of r and k. 20 Let q(c) = -185*c + 831. Let l be q(4). Calculate the greatest common factor of 1027 and l. 13 Let v(i) = -1025*i + 301. Let o be v(-9). What is the greatest common divisor of 22 and o? 22 Let g be 1005*4/8*(-10)/(-15). Let m = -258 + g. Suppose 4*k - 5*s - 39 = 0, -s + 1 + 0 = 0. What is the highest common factor of k and m? 11 Let z = -58 + 130. Let g be 39/(-10 - 1236/(-120)). Let r = g - z. Calculate the highest common divisor of r and 145. 29 Let x be -50*-2*7 + -59 + 64. Calculate the highest common divisor of x and 423. 141 Let o(r) = 0*r**2 - 4*r**2 - 10 + 3*r**2 - 19*r + 5*r**2 + r**3. Let h be o(-6). What is the highest common divisor of 320 and h? 32 Suppose -324*r + 5568 = -276*r. Calculate the greatest common divisor of r and 5684. 116 Let n be -22*2/((-96)/984). What is the highest common factor of 1271 and n? 41 Suppose -10*r + 11*r - 5694 = -3*v, -r + 16*v + 5694 = 0. What is the greatest common factor of r and 390? 78 Let h(s) = s**3 - 4*s**2 + 2*s - 5. Let w be h(4). Suppose 0 = -8*o + 3583 - 1471. Let y be (4/(-16))/((-2)/o). What is the greatest common factor of w and y? 3 Let x be -1 + 3/1*16/(-12). Let u(h) = h**2 + 8*h + 10. Let l be u(x). Let g be (15 - -5)*(-4)/l. What is the highest common factor of 8 and g? 8 Let z be ((-24)/(-5))/((-10)/(-50)). Let y = -65 - -67. Suppose 6*v + 38 = q + v, -y*q = -v - 40. Calculate the highest common divisor of q and z. 6 Let m be -1 - 0 - (1 - 14). Let y = -102 - -109. Suppose 26 + 35 = 5*v - l, 5*l - y = -v. What is the greatest common divisor of v and m? 12 Let g = 10 + -7. Suppose -4 = -5*z + g*z. Suppose -53*w + 48*w + 4*c = -80, -5*w - 5*c + 80 = 0. What is the greatest common factor of w and z? 2 Let r be (-2)/4*-24*408/48. Suppose -3*l + 1632 = 3*l. Calculate the greatest common factor of r and l. 34 Suppose -2*g + 6*g = 4*o - 3556, 5*g = 4*o - 3560. What is the highest common factor of o and 15? 15 Let z = 38 + -34. Suppose z*u = -3*q - q + 32, -5*u = 15. Let p = 93 - 71. What is the greatest common divisor of p and q? 11 Suppose 0 = 4*i - 3*i - 737. Suppose 5*b - 5*r - 128 = 197, -5*b - 5*r + 345 = 0. What is the greatest common divisor of i and b? 67 Suppose -97*a + 47*a = -43*a - 252. Let m be (-2)/9 - 14378/(-63). Calculate the greatest common divisor of a and m. 12 Suppose -3*x + 24 = 3*x. Let z(s) = -150*s + 1354. Let w be z(9). What is the highest common factor of w and x? 4 Let v(r) = 39*r - 105. Let z be v(28). Suppose -2861 = -13*q + z. Calculate the greatest common factor of 16 and q. 8 Suppose 37*y - 41*y = -72. Let t = -97 - -101. Suppose 4*h + q = 12, -5*h - q - t*q = -15. Calculate the highest common factor of h and y. 3 Suppose -c = 3*l
{ "pile_set_name": "DM Mathematics" }
te m(x) with respect to x. 21 Let u(l) = -5. Let x(v) = 2*v + 11 - v + 0*v. Let j be 12/18*(-15)/2. Let n(h) = j*u(h) - 3*x(h). What is the first derivative of n(o) wrt o? -3 Suppose -4*u = -2*u + 24. Let i = 14 + u. Find the third derivative of -4 + 4 + 0 - i*j**2 + 2*j**6 wrt j. 240*j**3 Find the third derivative of 2*t**3 - 365 + 735 - 370 - 25*t**5 - 2*t**2 - 172*t wrt t. -1500*t**2 + 12 Let m = 35 + -21. Find the second derivative of -16*k - m*k + 16*k**5 + 40*k + k wrt k. 320*k**3 Let p(u) = -3*u**3 - 4*u**2 - 6*u + 175. Let v(n) = -11*n**3 - 11*n**2 - 17*n + 526. Let c(y) = 11*p(y) - 4*v(y). What is the first derivative of c(x) wrt x? 33*x**2 + 2 Let m(h) = 2*h**2 - 6*h - 7. Let p be m(5). What is the third derivative of -12*s**2 + 25*s**2 + 2*s**3 + p*s**3 wrt s? 90 Let y(s) = 41*s - 20*s - 20*s. Let n(r) = -15*r**4 - 6*r - 25. Let x(c) = n(c) + 6*y(c). What is the derivative of x(g) wrt g? -60*g**3 Let s(f) be the second derivative of -73*f**5/10 - f**4/12 - 164*f**3/3 - f**2 - 492*f. Find the second derivative of s(d) wrt d. -876*d - 2 Let o be (4/2)/((-8)/(-20)). Suppose 7*h - 12 = 3*h - 4*f, -o = -4*h + 3*f. What is the second derivative of 8*u**2 + 4 - u - 5*u**h - 4 wrt u? 6 Let z be (2 + (-14)/4)*-2. Differentiate 2*k**3 + k**3 + 0*k**3 - 8*k**z + 13 with respect to k. -15*k**2 Let i(z) = z**2 + z - 1. Let t be 56/(-12) + (-4)/12. Let p(s) = 14*s**3 - 5*s**2 - 5*s + 14. Let f(g) = t*i(g) - p(g). Differentiate f(y) with respect to y. -42*y**2 Let x(p) be the second derivative of 7*p**2 + 0 + 0*p**4 + 0*p**5 + 0*p**3 + 7/30*p**6 + 17*p. Differentiate x(m) wrt m. 28*m**3 Let y be 1 + (5/5)/(3/6). Differentiate 1 - 2*o**y - 3*o**3 + 0 + 2*o**3 with respect to o. -9*o**2 Suppose -z + 4 = z. Find the second derivative of -w + 0*w**z - 17*w**4 - w**2 + w**2 wrt w. -204*w**2 Let p be (-7)/(-28) + (-327)/(-4). Find the second derivative of 4*t + 82*t**4 - p*t**4 + 9*t - 10*t**5 wrt t. -200*t**3 Let t(x) be the third derivative of -81*x**6/20 - 227*x**4/6 - x**2 + 49. Find the second derivative of t(r) wrt r. -2916*r Let s(k) be the third derivative of -29*k**7/42 + 235*k**3/6 + 189*k**2. Differentiate s(m) with respect to m. -580*m**3 Let q(x) = x**2 + 4*x + 1. Let r = -1 + -4. Let g be q(r). Find the third derivative of m**2 + 2*m**6 + 0*m**2 + 4*m**2 + m**g wrt m. 360*m**3 Let k be 3 + -2*(-3)/2. Find the second derivative of 9*r - 3*r - k*r**4 + 4*r wrt r. -72*r**2 Let g(b) = -6 - 4*b - b + 3*b. Let d be g(-4). Differentiate 3 - 5*k**2 + k**d + 3*k**2 - 2*k**2 with respect to k. -6*k Find the first derivative of 229 + 54*y**2 + 4*y**2 - 58*y**2 + 140*y**3 wrt y. 420*y**2 What is the second derivative of 71 + 315*j**2 + 2*j**5 + 15*j**4 - 2*j - 315*j**2 wrt j? 40*j**3 + 180*j**2 Let z(w) be the second derivative of -9*w**7/14 - 32*w**3/3 - 4*w - 2. Find the second derivative of z(o) wrt o. -540*o**3 Let f = 20 + -16. Suppose 0*m = 2*m - f. Find the third derivative of 9*s**m + s**5 - 14*s**2 + 5*s**5 wrt s. 360*s**2 Let h(v) be the third derivative of -23/24*v**4 + 0 + 2/3*v**3 + 3*v**2 + 0*v. What is the derivative of h(b) wrt b? -23 Let i(r) = r - 4. Let l be i(9). Let a be (-2)/l*(-3 - 2). What is the second derivative of 18*v**2 - 12*v + 2*v + 2*v**4 - 18*v**a wrt v? 24*v**2 Let d(o) = -157*o**3 - 7*o**2 - 98*o - 7. Let h(f) = 105*f**3 + 5*f**2 + 66*f + 5. Let x(u) = 5*d(u) + 7*h(u). What is the second derivative of x(m) wrt m? -300*m Let j(g) = -2*g**3 - 20*g**2 - 18*g + 4. Let y be j(-9). Find the second derivative of -18*v + 1851 - 1851 + 24*v**y wrt v. 288*v**2 What is the second derivative of -49 - 7*i + 21 + 98*i**2 + 26 wrt i? 196 Let a(x) = -x**3 - 6*x**2 - 6*x - 1. Let p be a(-5). Suppose -3*w + p*k + 8 = 0, 44 = 2*w + w + 5*k. Find the first derivative of -w - 8*b + 5 + 2 wrt b. -8 Let a(s) = 354*s**3 - 803*s**2 - 4*s + 8. Let j(l) = 705*l**3 - 1605*l**2 - 7*l + 14. Let u(q) = 7*a(q) - 4*j(q). Find the third derivative of u(v) wrt v. -2052 Find the third derivative of -26 - 6*r**5 - 20*r**3 + 26 - 338*r**2 + 278*r**2 wrt r. -360*r**2 - 120 Let w(k) be the first derivative of -k**7/21 - k**5/5 - 3*k**2 + 15. Let z(m) be the second derivative of w(m). What is the third derivative of z(c) wrt c? -240*c What is the second derivative of 2266*t - 37*t**2 - 2195*t - 13*t**2 wrt t? -100 Suppose 15*o = 24 + 51. What is the third derivative of -112*z**o + 4*z**2 - 108*z**5 + 6*z**6 + 220*z**5 wrt z? 720*z**3 Let p(n) = n**2 + 2*n - 15 - 10*n + 20. Let a be p(8). What is the second derivative of 3*o**5 + 2*o**a + 3*o - 6*o**5 wrt o? -20*o**3 Let u(c) be the second derivative of -1/6*c**4 + 0*c**5 + 0*c**3 - 1 + c - 1/2*c**2 + 6/5*c**6. What is the third derivative of u(m) wrt m? 864*m Suppose 25*x - 28*x + 8 = 2*w, -5*x + 20 = 5*w. Let u(s) be the third derivative of 5/6*s**3 + 0 - 7/60*s**5 + 0*s**4 + 2*s**2 + x*s. Differentiate u(t) wrt t. -14*t Suppose 0*v - v = -22. Let u be 31/11 - (-4)/v. Find the third derivative of 2*z**6 + 0*z**2 - u*z**2 - 5*z**6 wrt z. -360*z**3 Let b(a) be the first derivative of 5*a**4 - 7 - 2*a**4 - 16*a - a**4 + 2*a**4. Differentiate b(p) with respect to p. 48*p**2 Find the second derivative of 7*n**4 + 9*n**4 - 15*n - 83*n + 3*n**2 wrt n. 192*n**2 + 6 Let w = 77 - 53. What is the second derivative of w*y**2 - 17*y + 8*y**2 - 2*y - 6*y**2 wrt y? 52 Let n(k) = 1389*k**3 + 14*k**2 + 23*k. Let w(z) = -347*z**3 - 3*z**2 - 6*z. Let c(p) = 2*n(p) + 9*w(p). What is the third derivative of c(u) wrt u? -2070 Let o = -5 - -10. Suppose -4*u = -6*u + 3*g - 11, 5*g - 31 = -3*u. Find the third derivative of 647*a**4 + 13*a**o - 647*a**4 - 2*a**u wrt a. 780*a**2 Let y(a) be the second derivative of -11*a + 0*a**3 - 1/2*a**2 + 11/6*a**4 + 0. Differentiate y(w) with respect to w. 44*w Let i(q) be the second derivative of q**5/4 + 5*q**4/12 - 11*q**3 + q + 5. Find the second derivative of i(w) wrt w. 30*w + 10 Let i(v) = 69*v + 137. Let m(g) = 14*g + 27. Let d(o) = -2*i(o) + 11*m(o). Find the first derivative of d(w) wrt w. 16 Let x(s) be the third derivative of -17*s**6/120 + 121*s**3/6 - 40*s**2. Differentiate x(k) with respect to k. -51*k**2 Find the second derivative of -167*s - 5 + 160*s - 2*s**3 + 56*s**2 - 24*s**2 + 4 wrt s. -12*s + 64 Let m(n) be the third derivative of -117*n**5/20 + 70*n**4/3 - 450*n**2. Find the second derivative of m(a) wrt a. -702 What is the derivative of -53 - 13*d**2 + 20*d**2 + 77 + 12*d**2 wrt d? 38*d Let t(k) be the second derivative of -k**8/672 + k**6/90 + k**4/6 - 2*k. Let z(v) be the third derivative of t(v). What is the second derivative of z(w) wrt w? -60*w Let y(h) be the first derivative of 0*h**3 + 0*h**4 + 0*h**2 + 43/5*h**5 + 16*h + 28. What is the derivative of y(t) wrt t? 172*t**3 Suppose 14*u = 16*u - 16. Find the first derivative of -u - r**2 + r**2 + r**4 - 12*r**4 wrt r. -44*r**3 Let g(f) = 115*f**2 - 43*f - 5. Let t(d) = -2*d + 1. Let n(k) = -g(k) - 5*t(k). Find the second derivative of n(j) wrt j. -230 Let d(g) be the third derivative of -31*g**7/210 - g**6/60 - 229*g**5/60 - g**3/3 + 188*g**2. What is the third derivative of d(b) wrt b? -744*b - 12 Let u be ((-7)/3 - -3)*3. Suppose u*p = 5*p - 9. Find the second derivative of 2*g - p*g - g - 3*g**4 - 3*g**4 wrt g. -72*g**2 Find the first derivative of 45*b**2 + 612 - 769 + 78*b**2 + 43*b**2 - 6*b**2 wrt b. 320*b What is the third derivative of 124*b**3 + 95*b**2 - 262*b**3 + 102*b**3 wrt b? -216 Let i(o) be the second derivative of -19*o**5/2 - o**4/6 + 8*o**2 - 21*o + 2. Find the third derivative of i(b) wrt b. -1140 Let c(l) = -3*l + 3. Let d be c(-9). Let f be ((-8)/(-12))/(4/d). Find the second derivative of w - 7*w - w**f - 9*w**5 + 2*w**5 wrt w. -160*w**3 Let r be (5 - (3 - 3)) + 44. What is the third derivative of 128*w**2 - 56*w**2 - 10*w**6 + 27*w**6 - r*w**2 wrt w? 2040*w**3 What is the first derivative of 2*j**2 - 44 - 6*j + 147*j**3 + 6*j - 104*j**3 wrt j? 129*j**2 + 4*j Let o(u) be the second derivative of 239*u**6/30 + u**3 + 2*u**2 + 477*u. Find the second derivative of o(h) wrt h. 2868*h**2 Let g(x) be the third derivative of -12*x**7/35 + x**4/24 - 49*x**3/6 - 3*x**2 - 18. Find the second derivative of g(u) wrt u. -864*u**2 Let f(b) = -21*b**4 + 12*b**3 + 16*b**2 - 18*b + 3. Let k(p) = -p**4
{ "pile_set_name": "DM Mathematics" }
he biggest value in -0.1, -103.1, -2/5, -14? -0.1 Which is the smallest value? (a) 9 (b) 5758 (c) -3 c What is the fourth biggest value in 13/6, 0.08, 2/3, 2/171? 2/171 Which is the biggest value? (a) -1085 (b) 52 (c) -16 b Which is the second smallest value? (a) 0.5 (b) -4 (c) -1352/5 b What is the fourth biggest value in -0.09, -5, 2/5, 5, -3/10? -3/10 Which is the smallest value? (a) -45 (b) 194 (c) 5 (d) -4 a What is the second biggest value in 0.5, 36, -1, 18, 2? 18 Which is the third biggest value? (a) 1.29 (b) -5.1 (c) -0.3 b What is the second biggest value in 1/4, -0.3, 257970, -0.2? 1/4 Which is the second biggest value? (a) 4 (b) 0.4 (c) 3 (d) -13 (e) -7/3 c Which is the fourth biggest value? (a) -0.1 (b) -30 (c) 1 (d) 11 b Which is the smallest value? (a) 102 (b) -4/5 (c) 7/46 b What is the fifth smallest value in 3/46, 1, 1/39, -1, -5? 1 What is the smallest value in -7/2, 1/4, 2/87, -0.4, -2? -7/2 What is the fourth smallest value in -1/3, -0.04, 369, -8/7, 1? 1 Which is the third smallest value? (a) -1.6 (b) 70 (c) -2 (d) -3/7 (e) 0 d Which is the second smallest value? (a) -321 (b) -2/9 (c) -4 (d) -38 d What is the fourth biggest value in -5, -3, -4/187, 13? -5 Which is the biggest value? (a) -0.2 (b) -1 (c) 5 (d) -0.02 c Which is the fourth biggest value? (a) 5 (b) 1/3 (c) -3/13 (d) 242 c Which is the smallest value? (a) 0.4 (b) -0.18947 (c) -5 c What is the smallest value in -2/5, 4, 3/5, 0.4, 20/9, -1/5? -2/5 Which is the third biggest value? (a) -3/25 (b) 0 (c) -2.8 (d) 5 (e) 40 b What is the biggest value in 4, -36, 3, -0.5? 4 Which is the third biggest value? (a) -0.2 (b) 2 (c) -14 (d) 3/187 a Which is the smallest value? (a) -0.34 (b) -0.2 (c) 0.08 (d) -0.37 d What is the biggest value in 4, -0.26, -4/9, -1? 4 Which is the smallest value? (a) -20 (b) 0.1 (c) -1/5 (d) 0 (e) 76 a Which is the third biggest value? (a) 1/2 (b) -2/9 (c) 0.067 (d) 0 (e) -6 (f) 2 c What is the biggest value in 3, -2, 0.07, -2/33? 3 What is the biggest value in -5/3, -2/9, -10970, 3/2? 3/2 What is the fourth biggest value in 0.4, 1883, -1, -0.05, -0.3? -0.3 What is the fifth biggest value in -0.2, -12, 5, -0.3, -76? -76 What is the fourth smallest value in -0.17, 2/11, -5, 4.1? 4.1 What is the third smallest value in 4239, 0.1, -2/7, 2/7? 2/7 Which is the fifth smallest value? (a) 2 (b) -1 (c) 0.1 (d) 0.0981 (e) -1/7 (f) 4 a Which is the third biggest value? (a) 0.5 (b) -0.0103 (c) -9 c What is the biggest value in -1, 2, 5, -3, 24, 3.61? 24 What is the fourth smallest value in -105/8, -4, -6, -30, 1/2, 3? -4 What is the smallest value in -2/11, 26/69, 4.8? -2/11 Which is the smallest value? (a) 221.7 (b) -0.101 (c) 0.3 b What is the biggest value in 4, 42/13, -1, 5, -3, 39? 39 What is the third biggest value in -443, -2, 0.09, -4/7, -0.5? -4/7 What is the fourth smallest value in -13, 1, 855, 3/5, 0, -7/9? 3/5 What is the third smallest value in 1/401, 0.2, 2, 215? 2 What is the smallest value in 11, 523.71, -1? -1 What is the second smallest value in 0.1, -1/7, 266, -1, -2? -1 What is the third biggest value in 0.3, 4, -3433, -2? -2 What is the second smallest value in -0.044, -127.7, -2/15, 0.3? -2/15 Which is the sixth biggest value? (a) -2/3 (b) 0 (c) -0.5 (d) 0.489 (e) 1.1 (f) -1/5 a What is the fifth biggest value in 2, -4, 28/9, 5, 3, -1/15? -1/15 What is the second biggest value in -3210, -4, 16? -4 Which is the third biggest value? (a) -5 (b) 1/17 (c) -1332 c Which is the biggest value? (a) 1/2 (b) -6/13 (c) 2/87 a Which is the third biggest value? (a) -5 (b) -1.125 (c) 8 a What is the second smallest value in -3/7, -102/1531, 1? -102/1531 Which is the second biggest value? (a) 321 (b) -3 (c) 2 c Which is the smallest value? (a) 3 (b) 1 (c) 1/13 (d) 17 c Which is the fifth smallest value? (a) 161 (b) 2 (c) 2/9 (d) 13 (e) 1 (f) 4/3 d What is the fifth biggest value in -8, 74, 1/4, 1.4, -4, 0.5? -4 Which is the third biggest value? (a) 14805 (b) -1 (c) 3/5 (d) 2/11 d Which is the third smallest value? (a) 0.266 (b) -1 (c) 266 c What is the biggest value in 0.2, 35, -2445? 35 Which is the third biggest value? (a) 5 (b) 2 (c) -0.1361 (d) -43 (e) -1/8 e What is the smallest value in -1/10, 0.2, -2/41, 1630? -1/10 What is the third smallest value in -32, -1205, -0.3? -0.3 Which is the third smallest value? (a) -1/2 (b) 2/11 (c) -5954 b What is the second biggest value in -9.5, 0, -204/13? -9.5 What is the second biggest value in 5, 0.3, 38.756? 5 What is the third biggest value in 1.8, -54, -13? -54 Which is the second smallest value? (a) 0.4 (b) -266 (c) 2/37 c Which is the second smallest value? (a) -2/11 (b) 0.5 (c) -201.1 (d) -2 d What is the third smallest value in 0.5, -0.07429, -1, 6, 0.1? 0.1 What is the third smallest value in 2/19, 1.31225, 1, -0.2? 1 Which is the sixth smallest value? (a) 0.1 (b) 0.3 (c) -0.1 (d) -100/9 (e) -0.4 (f) -1.4 b What is the second smallest value in -5, -1/2, 241206? -1/2 Which is the third smallest value? (a) 0.19 (b) -0.4 (c) 12/49 c Which is the biggest value? (a) -3 (b) -33056 (c) 1 c Which is the smallest value? (a) 1/6 (b) -56 (c) -2 (d) -8 b What is the third smallest value in -3/1001, 4, -2/3, -2/9? -3/1001 What is the fourth smallest value in -1/3, 32, 0.4, -0.0317, 4, -0.1? 0.4 What is the biggest value in -0.5, 17, -23, 1/3, -2/11? 17 Which is the third biggest value? (a) -5 (b) 0.4 (c) 0.3 (d) 35/2 (e) 0.03 c Which is the third smallest value? (a) -4 (b) -10 (c) -5 (d) -2/5 (e) 4 (f) 1/115 a What is the second smallest value in 13, -2/19, -0.04, -15? -2/19 Which is the smallest value? (a) -11 (b) -0.2 (c) 0 (d) 2/9 (e) -12 e What is the third biggest value in -1/5, -1/14, -0.3, -8, 5.5? -1/5 What is the smallest value in 2/193, -3, -10? -10 Which is the fifth smallest value? (a) -56 (b) 0.96 (c) 0.3 (d) -0.4 (e) 3 e What is the third biggest value in 0, 26.4, -6/37, 7? 0 What is the third smallest value in 1, 969, 3/4? 969 Which is the fourth biggest value? (a) -4/3 (b) 1 (c) 575/4 (d) 8 (e) -5 a Which is the second smallest value? (a) 0.062 (b) 9/4 (c) 0.5 (d) -1 a What is the second biggest value in -5, 2, 11/2, 86, -3? 11/2 What is the fourth smallest value in 0.5, 0.2, -33.9, -11/5? 0.5 Which is the third smallest value? (a) -1057 (b) -0.5 (c) -33 b What is the biggest value in 5/3, -2/5, 5, -210/11? 5 Which is the biggest value? (a) 0.3 (b) 145.4 (c) -5 b What is the fourth smallest value in -1/21, 0.5, 0.0251, -5? 0.5 What is the smallest value in -0.2, 4, 0.2, 35184? -0.2 What is the second biggest value in -2/5, 5, -15, -47? -2/5 Which is the second smallest value? (a) 491 (b) -7 (c) 4 (d) 3/5 (e) 3/8 e What is the second smallest value in 2/5, 0.039, 0.1, -1? 0.039 Which is the biggest value? (a) 4 (b) -5/2 (c) -6/11 (d) -344 a What is the fourth smallest value in 5, -1, 5446, 4/9, -19? 5 Which is the second biggest value? (a) -277 (b) -23 (c) 9 b Which is the third biggest value? (a) -0.1 (b) -0.4 (c) -10505 (d) -0.3 b Which is the third biggest value? (a) -94 (b) 0.1 (c) -0.2 (d) 350/3 (e) 2/11 b What is the third biggest value in 0.1, 1, 23226? 0.1 Which is the fourth smallest value? (a) 2 (b) -452 (c) 1/3 (d) -2 (e) 5 a Which is the biggest value? (a) -4 (b) 4576 (c) 0.08 b What is the second biggest value in -4/19, 0.1, -2/235? -2/235 What is the third smallest value in -140, 0.6, -5.5? 0.6 What is the third smallest value in -15/7, -1, -1/4, 6, -34? -1 Which is the second biggest value? (a) -2 (b) 4 (c) -5/2 (d) -1 (e) 118 b Which is the fourth smallest value? (a) -0.2 (b) -187/15 (c) 0.5 (d) -15 c What is the biggest value in -0.9, 2, 5, -2/15, -9.6? 5 What is the third biggest value in -0.04, 5.6, -182? -182 Which is the fourth biggest value? (a) 0.2 (b) -5 (c) 1/3 (d) 97 (e) 3/4 (f) 4 c What is the sixth smallest value in 0.2, 1/22, -4, -2, 0, -35? 0.2 Which is the third biggest value? (a) -0.4 (b) 3/2 (c) -4/25 (d) 0.02 (e) 3 d What is the second biggest value in 0.4, -2/25, -0.2692, 13? 0.4 What is the second biggest value in 0.08, -4, 4
{ "pile_set_name": "DM Mathematics" }
th biggest value in w, -6, -4, -0.2? -6 Let h = -81 - -76. Which is the second biggest value? (a) h (b) 33 (c) 1 c Let c = -26 - -21. What is the third biggest value in 4, c, 0.2? c Let a(p) = -p**2 + 18*p + 171. Let f be a(-7). What is the second smallest value in -22, -0.2, f? f Let b = -187/70 - -21/10. Let w = 0.62 - 2.62. What is the fourth smallest value in 3, w, b, -3? 3 Let n be (-1)/8 - 31/(-120). Let o = -4/45 - n. Let l = 3 + -6. What is the second biggest value in o, 5, l? o Let d = 84 + 60. Let i = -142 + d. Which is the third biggest value? (a) -3 (b) -5/2 (c) i a Let j(f) = 33*f - 14*f - 20*f + 21. Let h be j(18). Let u = 109/310 + 3/62. Which is the biggest value? (a) h (b) 0.5 (c) u a Let u = -35 + 111. Let o = -78 + u. Which is the fourth biggest value? (a) o (b) 0.5 (c) -0.1 (d) 4 a Let p be -2 - -1 - 3*(-5)/(-15). Let n be (p - 5/(-4))/(0 - -1). Let g = -112/559 - -2/43. Which is the second biggest value? (a) n (b) 0.5 (c) g c Let h = 163 - 163.2. What is the smallest value in h, -14, -1? -14 Let j = 10 - 14. Let z be (-3)/6 - 1/(j/46). Which is the second biggest value? (a) -0.4 (b) -2 (c) z a Let w = -961.2 + 961. Let u be 1/2*2 - 13. Let f be 12/2*16/u. What is the third biggest value in -3/7, f, w? f Suppose 5*p - 140 = 5*f, 4*f + 62 = -3*p + 5*p. Let u = p - 28. Let m = 14 - 9. Which is the third biggest value? (a) u (b) -4 (c) m b Let u = 10665.7 - 10666. Let b = 1.87 - -2.18. Let y = -0.05 + b. What is the smallest value in y, u, -2/9? u Let d = -0.104 - -4.104. What is the biggest value in -0.5, d, -3/4? d Let q = -49.57 - -50. Let i = q - 2.43. Which is the second smallest value? (a) 9 (b) 4 (c) i b Let g be (-16)/6 + (-2)/6. Let j(z) = 172*z + 2. Let r be j(0). What is the third biggest value in r, -1, -4, g? g Suppose 0 = -3*z - z. Let o = -42.4 + 37.4. What is the second smallest value in o, 5, z? z Let s be 2 + 0 - ((-1011)/(-4) - 1). Let b = -251 - s. What is the smallest value in 5, -3, b? -3 Let y = 63 - 149. Let m = y - -52. Let h = m - -33.92. Which is the third smallest value? (a) -0.3 (b) 3/5 (c) h b Let j = 0.19 - 1.19. Let x be ((-168)/(-133))/((-6)/(-4)). Let q = 28/57 + x. What is the third biggest value in j, q, -3? -3 Let p be (-14 + 24)/(-5) + 16/10. Which is the fourth smallest value? (a) 1/4 (b) 2/23 (c) 1/2 (d) p c Let x = -368 + 366. Let m = -0.3 + -4.7. Let g = m + 9. Which is the third biggest value? (a) x (b) g (c) -1 a Let n = -6 + -17. Let m = -18 - n. Let p be (-2)/((-14)/(-9)) - -1. What is the second biggest value in m, p, 0.3? 0.3 Let w = -0.47 - 0.03. Suppose 2*c = -2*c - 4*n - 28, -4*n = -5*c + 1. Let u be 4/c + (-2)/(-2). What is the biggest value in 4, u, w? 4 Let k = -0.301 + 2.301. Which is the second biggest value? (a) 3 (b) -0.6 (c) k (d) -0.1 c Let m = -6.31 - -1.31. What is the smallest value in -2, -3, 0.1, m? m Let j = -113/8 - -14. Let o be ((-1)/(-7))/(7/(-42)). Let p = -31/28 - o. What is the second biggest value in p, 3/8, j? j Let h = 77 + -76. Which is the smallest value? (a) h (b) -4 (c) -5 (d) 36 c Let a = 91.3 + -101. Let i = a + 10.2. What is the third smallest value in 2/45, -2, i? i Let i = 37.03 + -0.03. Let u = 32 - i. Which is the biggest value? (a) 0.5 (b) -1/3 (c) u a Let f = -12.1 - -12. Let v = -21 - -24. Which is the smallest value? (a) 3/8 (b) f (c) v b Let o = -101.9 + 102. Let q = -0.43 + 0.03. Which is the smallest value? (a) o (b) 4/3 (c) -1 (d) q c Let t = 0.9 - 1. Let w = 0.22 + -0.02. What is the third smallest value in t, w, 0.4? 0.4 Let m = 0.3 - 0.1. Suppose -2*t = 4*o + 10 + 4, 17 = 5*t - 3*o. Suppose j + 0*j = -2. Which is the third smallest value? (a) t (b) j (c) m a Let u = 3 + -3.044. Let p = u - 0.956. Which is the second biggest value? (a) -2 (b) -0.3 (c) -3 (d) p d Let r = -1.5 + 1. Let g = -32200 + 32200. What is the second biggest value in g, -2/23, r, -5? -2/23 Let t = -77/18 - -421/90. Let v = 4 + -4.5. What is the third smallest value in -1, v, t, -1/4? -1/4 Let s = 3.08 + -36.08. What is the biggest value in 4/3, -0.2, 0.2, s? 4/3 Let d be (-2)/20*(-4 + 6)*-28. Which is the second biggest value? (a) d (b) -2 (c) 4 c Let t = 240.1 - 242.1. Which is the third smallest value? (a) t (b) 0.55 (c) -2/11 b Let r = 0.1 - 0.1. Let s = -5 - -5. Let i = s - r. Which is the biggest value? (a) 3/2 (b) i (c) -4 a Let w = 26 + 22. Suppose 5*q = 9*q - w. Suppose 4*t - x = q, -2*x + 40 = 5*t + 3*x. Which is the third smallest value? (a) t (b) -1/3 (c) -5 a Let z be (-231)/(-66) - (-3)/(-2). What is the second smallest value in 5, z, 9? 5 Let a = 50 + -53. Let i = 22 - 87/4. What is the second biggest value in i, a, 0.5, -2/7? i Let f = -70.33 + 71. Let p = f - -8.33. Which is the second biggest value? (a) 5 (b) -1/2 (c) p a Let c = -227.1 - -227. What is the smallest value in 9, 4, c? c Let h be (-40)/96 - (85/(-15) + 5). What is the second biggest value in -2, 5, h, -1? h Let t = -14.4 - -123.4. Let z = -108.98 + t. Let k = 73/3 - 24. Which is the biggest value? (a) z (b) k (c) -2/13 b Let d = -99 + 98. Let q be (4/(-56))/((-1)/(-4)). What is the second smallest value in -3, q, d? d Let p = -23 + -15. Let g = 37.8 + p. Which is the third biggest value? (a) 4 (b) g (c) -6/7 c Let f be (1272/10)/4 + -2. Let m = -29 + f. Let o = 6.75 + -1.75. Which is the second smallest value? (a) o (b) m (c) 3 c Let y be (-329)/63 + 4/18. Let h = 0.17 + 0.83. Which is the second biggest value? (a) y (b) h (c) 4/5 (d) 0.2 c Let m = -0.2 - -0.2. Let h = 0 - m. Let k = -2 + 4. Which is the smallest value? (a) k (b) -0.1 (c) h b Let r = 61 - 65. Which is the third smallest value? (a) -1/3 (b) 5/3 (c) r (d) -1.5 a Let s = -30.005 + 0.005. Suppose 4512*m = 4502*m - 10. Which is the biggest value? (a) s (b) 0.1 (c) m b Let t = -5.3 - -25.3. Let w = 20.1 - t. What is the second smallest value in -0.5, -2/3, w? -0.5 Let a = 149/2581 - 2/29. Let n = 226460 + -40310145/178. Let t = n + a. What is the smallest value in t, -1/6, 4? t Let d = -327 + 329. What is the third biggest value in 4/5, d, -7.8? -7.8 Let j(z) = -2*z**3 - 2*z**2 + 18*z - 18. Let h be j(1). Suppose -3*l + 4*l = 1. Which is the second smallest value? (a) l (b) 3 (c) h (d) 1.2 a Let k be -1 + 8 + (-5893)/781. What is the third smallest value in -2/11, k, 5/3, 4? 5/3 Let p = -107 - -197. Let q be -3 - (11/(-2) - p/60). Let n be -3*(8/18)/(-2). Which is the second smallest value? (a) n (b) -1 (c) q a Let n = 8.8 - 8.8. What is the second smallest value in -50, -3, n? -3 Let n(r) = -r**2 + 7*r - 6. Let v be n(6). Let t = -4 + v. Let g be t/((-96)/(-9))*-4. Which is the smallest value? (a) -1 (b) g (c) -3 c Let q be ((-2)/8)/((-2)/8). Let h = 0.8 + -2.4. Let u = h - -1.8. Which is the third biggest value? (a) q (b) -3/5 (c) u b Let f = 263.8 - 264. Suppose 4*r = -4*i + 4, -5*i + 1 = 3*r - 0. Let p(k) = 4*k - 3. Let g be p(r). Which is the third smallest value? (a) f (b) 3 (c) g c Suppose -t - 8 = -3*s, -t + 6*s = s. Let r be (2/(-8) - (-35)/t)/(-6). What is the second smallest value in r, 0.2, -3/4, -18/7? -3/4 Let u = 0.024 + 2.976. Let r = -0.4 + 0.3. Let o = -0.07 - 4.93. What is the third biggest value in o, u, r? o Let f = -1 - -3. Let p = 1776 - 8881/5. Let u be (12/(-88))/(6/8). Which is the smallest value? (a) p (b) f (c) u a Suppose -2*z = -5*v + 5 + 2, 3*z = 12. Suppose -v*o - 6 = -r, r + 9*o + 10 = 4*o. What is the fourth smallest value in r, -3, -2/13, -0.3? r Let q = -0.6 + 0.1. Let x be -1*(1 - 2)/1. Let u = 1124 + -1124.1. Which is the second smallest value? (a) q (b) u (c) x b Let j = -8 + -6. Let x be (12/j)/(32/(-28)). Which is the second smallest value? (a) x (b) 5 (c) -3 a Let k = 1.37 + -1.4. Let q be 4/(-6)*-4*(-3)/36. Which is the third smallest value? (a) k (b) q (c) 2/13 (d) -0.2 a Let i(f) = f - 2*f + 0*f + f**2 - 1 - 2*f. Let s be i(5). Let g be (-6)/s*3/2. Which is the third smallest value? (a) -0.5 (b) g (c) 0.3 c Suppose 4*k = -54 - 2. Let b be (-86)/k + -2 + -4. What is the third smallest value in b, 2, -1/5? 2 Let o = -146 + 165.4. Let r = -20 + o. Which is the second biggest value? (a) -0.4 (b) r (c) 1 (d) 2/3 d Let c = -2 - 1. Let l = 419 -
{ "pile_set_name": "DM Mathematics" }
5*p - 27*p + 2) + (-2*p + 5*p - 2*p)*(5*p - 3*p - 4*p) - p + p**2 + p. 575*p**2 + 18*p Expand (3*v - 1 + 1)*(186 + 5*v**2 + 26 - 15). 15*v**3 + 591*v Expand (s - s + s**3)*(-5*s**2 + 0 + 0) + 2 - 2 + s**5 - 27 + 27 - 8*s**5 + 0 + 0 - s**5 + (-3 + 5 - 1)*(-4*s**5 - s**5 + 3*s**5) + 2*s**5 - 5*s**5 + 7*s**5. -11*s**5 Expand (0*k**2 + 2*k**2 - k**2 - 15*k**2 - 8 + 8 + (1 + 1 + 0)*(-2*k**2 - k + k))*(-24*k + k + 19*k + 4). 72*k**3 - 72*k**2 Expand -2*g + 2*g - 2*g**2 + (3 - 3 - 2*g)*(0*g + 2*g - 4*g) + 0*g**2 + 3*g**2 - g**2 - 3*g**2 + 3*g**2 - g**2 + (-g + 14 - 12 + 20*g)*(-6*g + 4*g - 12*g). -263*g**2 - 28*g Expand (57 - 57 - 26*s)*(-1 + 5 - 2)*((2*s + 0*s + 0*s)*(-1 - 1 + 0) - 40 + 34 - 2*s - s). 364*s**2 + 312*s Expand (-1 + 1 - z**3)*(-2*z - 4 + 4)*(-2*z + 3*z + z) + (4*z**4 - 5*z**4 - 4*z**4)*(60*z - 17*z + 20*z). -311*z**5 Expand (-z + 2*z - 3*z)*(-6 + 9 + 10) + 44 + 45 + 16*z - 90. -10*z - 1 Expand (7*w - 4*w - w)*(3 + 2 + 0 + 2 - 1 - 2 + (6 - 3 - 4)*(-1 - 4 + 6) - 4 + 0 + 2 + (-2 - 1 + 0)*(6 - 52 - 42)). 530*w Expand ((-3 - 2 + 3)*(-4 - 2 - 2) + 5 - 2 + 0)*(6*j - 21 + 21). 114*j Expand (157*j**3 - 75*j**3 - 30*j**3)*(0*j**2 - 3*j**2 + 4*j**2 + (3 - 3 - 2*j**2)*(-1 - 2 + 4)). -52*j**5 Expand 284335*t + 3 - 3 - 284335*t - 6693*t**2 + 0 - 2*t**2 + 0 + 5*t**2 - 3*t**2 + 0*t**2 + (0 + t + 0)*(2 + t - 2). -6692*t**2 Expand (13 + 219 + 8)*(-4*c - c - 5*c). -2400*c Expand (20*p**2 + 13 - 13)*(-3 - p + 2 + 2*p)*((1 - 1 + 2)*(-4*p + 2*p + p) - 3*p + 6*p - 2*p)*(133*p + 4 - 70*p - 66*p). 60*p**5 - 140*p**4 + 80*p**3 Expand -7230 - 13741*u**3 + 4579*u**3 + 4581*u**3 + 4583*u**3 - 5*u**3 + 2*u**3 + u**3 + 2*u**3 + u**3 - u**3 + (3*u**2 - 6*u**2 + 4*u**2)*(u + u - u). 3*u**3 - 7230 Expand (-3712*h - 18656 + 18656)*(-2 + 4 - 1). -3712*h Expand (11830*c + 11887*c - 23425*c - 7)*(-2*c**4 + 2*c**4 + c**4). 292*c**5 - 7*c**4 Expand (-9*o + 25*o + 2*o)*(-2*o + 5*o - 2*o + (-2 + 1 - 1)*(-4 + 4 + 2*o) - 11*o + 7*o - 10*o + 3*o - 2*o - 2*o + o - 5*o + 3*o)*(2 - 5 + 1). 684*o**2 Expand (-2 + 1 - 1)*(4738*c + 9399*c - 5465*c + 6080*c). -29504*c Expand (3 + 8 + 40)*(-5 + 4 + 0)*(-4*l**3 + l**3 - l**3). 204*l**3 Expand t**3 + 2*t**3 - 4*t**3 + (-4*t**2 + 4*t**2 + 6*t**2)*(4*t - 4*t + 5*t)*(12 + 5 + 9). 779*t**3 Expand (8*v + 13 - 13)*((-5 + 1 + 3)*(-2 + 3 - 4) - 1 + 2 + 0) + (0*v - 3*v + 0*v)*(24 + 19 - 18). -43*v Expand (-22*k**4 + 2*k**4 - 9*k**4)*(-8*k - 9*k - 22*k). 1131*k**5 Expand -5*i**3 + 5*i**3 + 2*i**5 + (i**5 - 3*i**5 + i**5)*(-2 + 1 + 0) - i**5 + 2*i**2 - 2*i**2 - 67*i**2 - 7364*i**5 - i - 2*i**2 + 7365*i**5 - i**4. 3*i**5 - i**4 - 69*i**2 - i Expand (-4 + 1 + 0)*(-j + 2*j + 0*j)*(-1 + 2*j**3 - 1 - 3*j**3) + 3*j**4 + 0 + 0 + (j**3 - 5*j**3 + 2*j**3)*(0 - j + 0) + 2*j**4 + 3*j**4 - 2*j**4. 11*j**4 + 6*j Expand (-4 - 3 + 4)*(q**5 + 672*q**4 - 335*q**4 - 356*q**4). -3*q**5 + 57*q**4 Expand (3*k + 4*k - 4*k)*(5 - 3 - 3 - 2 + 1 - 1 + (1 - 3 + 1)*(1 - 1 - 1) - 1 + 1 - 3)*(-15 - 4 - 7)*(-3 - 3 + 5)*(-27*k + 11*k + 6*k). 3900*k**2 Expand (-8 - 5*o + 8)*(-3 + 6 + 16) - 4 - o + 4 - 6*o + 2*o + 2*o + 7*o - 3*o + 4*o. -90*o Expand (-5*y + 2*y + 0*y)*(2500*y + 256*y**3 + 433*y**3 - 2502*y). -2067*y**4 + 6*y**2 Expand -2*r - 2*r + 3*r + (5*r + r - 3*r)*(0 - 1 + 3) + 1736 - 1736 + 338*r + (r + 2 - 2)*(-2 + 2 - 1) - 1 + 1 - r. 341*r Expand (-4*s + s + 0*s)*(10*s + 18*s + s) - 6*s**2 + 0 + 33*s**2 - 1. -60*s**2 - 1 Expand (-6 + 19 + 9)*(-10 + 4 - 4)*(-r + r - r)*(7*r + 12 - 12). 1540*r**2 Expand (-39*r - 43*r + 26*r)*(36 - 39 - 51)*(-2*r**4 - 2*r**3 + 2*r**3). -6048*r**5 Expand 1218825 + 1903*s - 1218825 + (6 - 1 - 3)*(3*s + 0*s - 5*s) + 2*s - s + 0*s + (-s + 1 - 1)*(0 + 1 + 0). 1899*s Expand 0*m + 0*m + 2*m**3 + (2*m + m**2 - 2*m)*(0*m + 0*m + 2*m) + (6*m**2 + 28*m**2 + 7*m**2)*(-18*m + 22*m - 11*m) + 8*m**2 - 8*m**2 + 8*m**3. -275*m**3 Expand (-2*q**2 + 2*q**2 - q**3)*(-1897 - 616 - 1875)*(2 - 2 - 1). -4388*q**3 Expand (-19 + 8*c + 19)*(-4 + 1 - 4) + 4*c - 7*c + 4*c + (-5*c - 2*c + 2*c)*(-2 + 1 + 2). -60*c Expand (3*m - 70*m - 48*m - 110*m)*((1 - 1 - 1)*(1 + 0 - 2) + 8 - 9 + 11). -2475*m Expand (2*h + 2*h - 2*h + (-4 + 4 + 4)*(2*h + 0*h - h))*(131 - 218*h - 131). -1308*h**2 Expand (2*v - v + v)*(0*v - 2*v + 0*v) - 601*v**2 - 187*v**2 - 249*v**2. -1041*v**2 Expand (37 + 115*w - 37)*(2*w**2 + 2*w - 60*w**2 - 4*w). -6670*w**3 - 230*w**2 Expand 106*i**5 - 640*i**2 + 640*i**2 + (-2 + 2 - 2*i)*(2*i**4 + i**2 - i**2) - 391*i**3 + 391*i**3 - 43*i**5. 59*i**5 Expand (1821 + 1353*w - 1821)*(-15*w - 45 + 45). -20295*w**2 Expand (-2 - 2*h + 3 - 2)*(-961 - 462*h**2 - 990 + 1945 - h). 924*h**3 + 464*h**2 + 13*h + 6 Expand (0 + 2 + 0)*(-7 - 6 + 4)*(-40 + 2175*i - 7 - 2178*i). 54*i + 846 Expand (-6 + 1 + 3 + 2*s)*(-4*s + 6*s - 3*s)*(2 + 1 - 4)*(-383 + 294 - 420)*(-4 + 4 - 5). 5090*s**2 - 5090*s Expand ((0 + 3 + 2)*(3 - 6 + 2) + (2 - 2 - 2)*(-2 + 4 - 1) + 3 - 2 - 2)*(2*p - 37 + 37). -16*p Expand (0 + 1 + 5)*(0*t - 2*t + 3*t)*(5 + 2 + 20)*(1 + 2 + 1). 648*t Expand 44*x**4 + 62*x**4 - 7*x**3 - 92*x**4 + (5*x + x**3 - x - 2*x**3)*(5 - 5 + 4*x). 10*x**4 - 7*x**3 + 16*x**2 Expand (5*a + 7*a**3 - 5*a)*(-4*a**2 - 4*a**2 - 77*a**2 + (2*a - 4*a + a)*(-2*a + 2*a - 2*a)). -581*a**5 Expand (4*f + 6 - 6)*(-2*f - 1 + 1)*(-104 + 76 - 54)*(4*f - 6*f + 3*f). 656*f**3 Expand (1 + 7 - 2)*(3*z - z + 24 - 11). 12*z + 78 Expand (17*x**2 - 74 + 74)*(2 + 2 + 0)*(-6 - 8 - 3)*(-2 - 3 - 1)*(0*x + x**2 + 0*x). 6936*x**4 Expand (-5 - 4*m + 5)*(-326*m - 322*m + 22 + 652*m)*(0*m**2 - 2*m**2 - m**2) + m**3 - 1 - m**3 + 4*m**4. 52*m**4 + 264*m**3 - 1 Expand (2 + 0 - 1)*(35*d**5 - 17*d**5 + 30*d**5 + (2*d**3 - d**3 + d**3)*(-6*d + 5*d**2 + 6*d)). 58*d**5 Expand (-7*k**2 - 12*k + 12*k)*(k**3 + 3*k**2 - 3*k**2) - 12479*k**3 - 119*k**5 + 12479*k**3 + 2*k**5 - k + k. -124*k**5 Expand ((0*q**2 - 2*q**2 + 3*q**2)*(4*q + 0*q - 2*q) - 4*q + 2*q**3 + 4*q)*(-q + q - 3*q) + 0*q**4 + q**4 + q**4 - 3 + 3 + 6*q**4 + (1 - q**4 - 1)*(4 - 2 - 4). -2*q**4 Expand ((4 - 2 + 1)*(8 - 1 + 2) + 0 - 1 + 3)*(-y - y + 11*y). 261*y Expand (-102*j + 20*j - 4*j)*(0 + 5 - 1)*(-6 + 1 - 2). 2408*j Expand (23265 + 344*j**3 - 23265)*((3 - 2 + 3)*(2 + 0 + 0) - 3 - 3 + 5). 2408*j**3 Expand (j - 28 - 5*j + 3*j)*(5 + 211 + 85). -301*j - 8428 Expand (2*s - s - 3*s)*(-2*s - 2 + 2 + (2 - 1 - 4)*(20*s - 50*s - 26*s)). -332*s**2 Expand (365*l - 91*l + 12*l)*(0 + 2 - 5)*(-3*l + 0*l + l). 1716*l**2 Expand y**5 - 3*y**5 + 3*y**5 + (-2*y**4 - 2*y**4 + 3*y**4)*(0 + 0 - 2*y) + y**4 + y**5 - y**4 - 7 + 7*y**5 + 7 + (-3*y**3 + 3*y**3 - 3*y**4)*(2 + 2 - 5 + 9*y). -16*y**5 + 3*y**4 Expand (-5 + 4 - 4)*(2*h**3 - 5*h**3 + 2*h**3)*(13 - 2 - 4)*(0*h - 4*h + h). -105*h**4 Expand (2*c + 4*c - 4*c)*(-383 + 13 - 7) - 2*c + 2*c + 3*c. -751*c Expand (46 - 34 - 91)*(18*v - 16*v + 20*v). -1738*v Expand (-5 - 3 + 3)*(-23*q + 70*q + 111*q)*(0*q + 0*q + 11*q). -8690*q**2 Expand (-2*x + 0 + 0 + (2 + 1 - 5)*(5 + x - 5))*(0 - 5 - 3)*(-27 + 7 - 223). -7776*x Expand (2*m + 2 - 2)*(2 - 2 - 1)*(-3*m - 2*m + 3*m)*(-165207 + 34*m + 165207). 136*m**3 Expand (-8*x - 36 + 36)*(-3*x**2 - 6*x**2 + 2*x**2) - 30 + 30 - 6*x**3. 50*x**3 Expand -171*s**2 + 326*s**2 - 72*s**2 + (-2 + 1 + 2)*(6*s**2 - 2*s**2 - 2*s**2) + (20 - 10*s - 20)*(0*s + 4*s - 2*s). 65*s**2 Expand (3 - 2 - 2)*(1502*b**3 + 4052*b**3 - 545*b**3). -5009*b**3 Expand 1121 - 1121 - 23*t**2 + 2*t**3 + 0*t**3 + 5*t**3 - 2*t**3 + (279 - 279 + 8*t)*(0*t**2 + 3*t**2 - t**2). 21*t**3 - 23*t**2 Expand -2*w**2 + w**3 + 2*w**2 + (-w + 1 - 1)*(0*w**2 + w**2 - 3*w**2) + (-2*w**3 - w**3 + w**3)*(-2 - 1 + 6). -3*w**3 Expand (-h**2 + 5*h**2 - h + 0*h - 3*h**2)*(2 - 6 + 2)*(-1137*h**3 + 762*h**3 - 1357*h**3). 3464*h**5 - 3464*h**4 Expand (-3*d + 6*d + 2*d)*(-3 + 4 + 4) + (3*d - d - 4*d)*(5 - 2 + 18). -17*d Expand (-3 + 3 - 1)*(-1014 + 596 - 1059)*(2 - 2 - 3*a). -4431*a Expand -b**4 - 2*b + 2*b - 2*b**4 + 306 + 392 - 560 + (-b**2 + 2*b**2 + b**2)*(2*b**2 + b - b) + b**4 + 4*b**4 - 3*b**4 + 0*b**3 - 2*b**4 + 0*b**3. b**4 + 138 Expand (-15*w + 5*w - 17*w + (2*w - 4*w + w)*(-2 + 0 + 0))*(-511*w + 511*w - 337*w**2). 8425*w**3 Expand (0 - 2 + 0)*(2*s - 2*s - s) + 843 + 191*s - 843 + 19 - 7*s - 19. 186*s Expand v**3 - v**3 - v**4 - 2 + (0 - 2*v + 0 + 3*v + v - 6*v + (1 - 1 + 2)*(0*v - v + 3*v) + v + 3*v - 2*v - v + 4*v - v)*(3449*v**2 + 80*v**3 - 3449*v**2
{ "pile_set_name": "DM Mathematics" }
-7*n - 3*n + 26 = 2*i for i. 3 Solve -1454*b - 173 = -5*n - 1456*b, 3*n + 88*b - 116 = 335 for n. 33 Solve -2*w - 2 = 5 + 9, 252*w - 40 = 4*c + 257*w for c. 0 Solve -4*o + y - 62 = 0, -11*o + 858*y - 159 = 861*y for o. -15 Solve -15*v + 12*v + 15 = -4*b + 6, 0 = -v + 5*b - 8 for v. 7 Solve 733*h = 738*h - 5*s + 20, 8*h - 3*s + 32 = 0 for h. -4 Solve 2*f = 5*r - 49, 447*f + 2*r - 46 = 449*f for f. -22 Solve n = 41302*u - 41303*u - 17, 3*u = -n - 43 for n. -4 Solve -35 - 31 + 26 = 2*k + 4*m, -20*k + 17*k = -9*m - 15 for k. -10 Solve 4*u - 8 = -7*m - 0*u, -26*m + 4*u + 40 = -21*m for m. 4 Solve 4*r + 0*r + 2*l = 30, -122*r + 129*r + 3*l = l + 57 for r. 9 Solve -688*v + 343*v - 3*c + 15 = -345*v, 0 = -80*v - 3*c + 495 for v. 6 Solve -2*i - 13*g = -3*i + 69, 5*i - 5*g + 86 = 191 for i. 17 Solve 8*y = 4*g + 68, 2*g + 107 = -2*g + 4*y + 75 for g. 1 Solve 3*w - 11 = -2*z, -2*w - z - 15605868 + 15605875 = 0 for w. 3 Solve 293*g = 288*g - 12*v + 207, -4*g = -5*v + 68 for g. 3 Solve h - 1713*k = -1710*k + 6, 7*k - 12 = -2*h for h. 6 Solve -57*q - 161 = -2*m, 0*q = -5*q + 6*q + 2 + 1 for m. -5 Solve 0*s + r = -2*s + 3*s - 5*r - 40, 0 = -4*r for s. 40 Solve 529*g = -3*y + 533*g - 10, 0 = 551*y - 547*y + 5*g + 3 for y. -2 Solve 4*r - 122*b = -472, -6*r - 4*r = -10*r - 5*b + 20 for r. 4 Solve -3*l + l + p = 0, -3*p - 1 = -l - 0*l + 15 - 6 for l. -2 Solve 4*z - 22 = -l - 2*z + z - 1, 4*l - 875*z = -879*z + 4 for l. -4 Solve 0 = -4*l - 4*c + 72, 472 = -l + 2*c + 487 for l. 17 Solve w = 5*w + 3*j + 4, 4*j - 114 = -146 for w. 5 Solve -1227*z - 5*d + 101 = -1239*z, 2*d - 38 = 4*z for z. -3 Solve 3*c - 3204 = -4*v - 3191, -3*c + 2*v = -7 for c. 3 Solve 10*v + 16 = -8*u + 4*u, -5*u + 2*v + 0 = 20 for u. -4 Solve 11*v = 3*u + 51 - 6, 4*u + v - 14604 + 14570 = 0 for u. 7 Solve 8*v = 3*j + 5*v - 12, -2*j + 3*j - 22 = -5*v for j. 7 Solve i + 5*u = 7 + 89, -73*i + 66*i - 6*u = -121 for i. 1 Solve -d + 4*y - 28 + 39 = 0, -21*y = -5*d + 6*y - 26*y + 55 for d. 11 Solve 46*m - 91*m - 3 = -43*m + 5*n - 38, m = 73*n - 360 for m. 5 Solve -241797*w - 3*t = -241795*w + 12, 12 = -3*w - 3*t for w. 0 Solve 5*b + 3*r = 17, 57*b + 3*r = 9*b + 53*b + 7 for b. 1 Solve 4*x - 20 = d + 154 + 66, -3*x + 180 = 0 for d. 0 Solve 0 = -3*s + 51*f + 2*f + 83, -6*s + 3*f = -63 for s. 10 Solve -2*j = 3*k + 53, 5*j + 30 = -0*j - k + 8 for j. -1 Solve 0 = m - 2*f - 13, -m - 3*f - 92 = -4*m - 74 for m. -1 Solve 22*n - 27*n + 14 = -3*j, 0 = -3*j + 698*n - 704*n + 30 for j. 2 Solve 10*d - 2559*u = -2554*u + 5, 2*d = -u + 11 for d. 3 Solve o = -h, h + 75 = -35*o + 7 for o. -2 Solve 9 = 80*x - 77*x, -3*a - 48 = -4*x - 9*x for a. -3 Solve -2*m - 20 = 2*k, 0 = 5*k - 1000*m + 1004*m + 46 for k. -6 Solve 2*c - 2373*k + 800*k + 788*k - 20 = -791*k, k = -11*c - 50 for c. -5 Solve -15*f + o - 259 = 15*f - 52, 0 = 3*f + 5*o + 36 for f. -7 Solve -d = 3*v - 15, -27356*d + 27352*d - 310 = -62*v for v. 5 Solve 14*t - 86 = 12*k - 15*k - k, 4*t - 17*t + 53 = -3*k for t. 5 Solve 23*n - 4*h = -15*n + 33*n - 101, 10*h + 2 = -0 - 8 for n. -21 Solve -16 = 4*u - 2*u - 4*j + 3*j, -11781 = 8*j - 11765 for u. -9 Solve 0 = -5*a + 5*f + 7 - 2, 4*a - 9070 = 5*f - 9067 for a. 2 Solve -1674 = -5*p + 93*r, -2*p + 4*r - 98163 = -98235 for p. 0 Solve -113*t = -106*t + 3*b + 70, -34 = -3*t + b for t. 2 Solve w - 91 = -4*t, -3*w + 280126 = 280129 for t. 23 Solve 15*w + 12*z + 381 = 9*z, -5*z = -3*w - 65 for w. -25 Solve 4*a - 19*d + 162 = 432, 33*a = 68*a - 34*a + d + 13 for a. 1 Solve 0 = -5*x - 2*t + 10, -t - 42 = 81513*x - 81516*x - 14 for x. 6 Solve 2*v + 20*d - 94 = 0, -17*d = -5*v - 6*d - 16*d + 10 for v. -3 Solve 8*k + 103 = -62*k + 3*d, -13 - 47 = -4*k + 3*d - 97 for k. -1 Solve 4*l - 2*b + 60 + 26 = 0, -39 = -28*l - 7*b + 52 for l. -5 Solve -2*n - 83*j + 19 = -n - 88*j, 4*j + 50 = -5*n for n. -6 Solve 2 = 7*f + 5*x + 11, 7*f - 858*x = -857*x - 15 for f. -2 Solve 0 = 12*p + 4*p - z - 20, -2*p - 10 = z - 26 for p. 2 Solve 2*o - 21 = -q, 562*o = 568*o + q - 41 for o. 5 Solve 3*k = -3955*a + 3953*a - 8, -6*k - a - 31 = 0 for k. -6 Solve 27039*n - 66 = 27043*n + 10*c - 0, -n = -5*c - 36 for n. 1 Solve -5*q - 40 = 0, -5*q + 852 = -4*t + 880 for t. -3 Solve 5*y = -4*b - 9332 + 9223, -2*b - 48 = -4*y for b. -26 Solve 0 = -3*j + 5*n - 3, 12*j - 3*j - 2*n - 6 = 6*j for j. 4 Solve -15717894*w + 37 = 3*n - 15717889*w, 44 = 3*n - 2*w for n. 14 Solve 88 = 22*q, -188*m - 2*q + 21 = -201*m for m. -1 Solve -64 = 4*h, -15*h = 2*o - 143 + 841 - 312 - 140 for o. -3 Solve 2*q = 1267*w - 1272*w + 85, 3*q + 51 = 3*w for q. 0 Solve 0 = 4*s - a + 7, 11473 = 53*s - 57*s - 3*a + 11526 for s. 2 Solve -3*m - m + z = 117, m - 210*z + 27 = -212*z for m. -29 Solve 1536*c - 1540*c - 2*p = 3*p + 6, 8*c = -2*p - 34 + 6 for c. -4 Solve -2*l = 5*g - l - 248, -3*l = g - 21272 + 21214 for g. 49 Solve 0 = -l - 2*u, -5*l = -7583*u + 7578*u for l. 0 Solve 10*x - 9*x + 42 = 3*a + 5*x, -11*a - x + 12*x = 77 for a. 2 Solve -4*n - 2*h + 37 = 47, -4*n - 3*h - 1958 + 1953 = 0 for n. -5 Solve 17801*l - v + 7 = 17806*l, 16*v - 35 = -3*l for l. 1 Solve -w - n = -13, 6645*w - 6646*w - 3*n = -6*n + 27 for w. 3 Solve -2 = -69*l + s, -3*l + 13*s - 8*s + 15 + 13 = 18 for l. 0 Solve -5*a - 71 = -8*j, -2*j = -101*a + 105*a + 40 for a. -11 Solve 9*a + 26 = -2*c - 39 - 17 + 19, 4*a + 12 = -3*c - 16 for a. -7 Solve 8*f + 6*t + 132 = 0, 5*f - 2*t + 25 = -2*t + 5*t - 40 for f. -15 Solve 6*z + 2*z + x - 12 = 3*z, -2*z - 168*x + 340 = 0 for z. 2 Solve 3*y - 29 - 51 = -2*y - 11*n, 7*n = -2*n + 7*n - 0*n + 10 for y. 5 Solve -4*i + i + 54*s + 6 = 59*s, 4*i = s + 8 for i. 2 Solve 39*h - 78*h - 5*q - 561 = -42*h - 20*q, -4*h - 3*q = -102 for h. -3 Solve -1354*q - 3*s = -1355*q + 16, 5*q = 8*q - 11*q + 6*s + 74 for q. 7 Solve 9*c + 2*z = -155, 0 = -5*c - 4255*z + 4251*z - 89 for c. -17 Solve -12*w = -5*u + 204, -35*u + 31*u - 2*w = 37 - 3 for u. 0 Solve 0 = -5*c + 3*u - 308, 2634 - 2454 = -4*c + 19*u for c. -64 Solve -2*x - 53 = -5*i, -5*x - 129*i = 106*i - 221*i - 159 for x. 1 Solve 6*l - 9*l = -32*m + 1370, -10*l + 15*l = 5*m - 205 for l. 2 Solve 13*h - 8*h = 0, 6*q = 5*q + h - 12*h - 1 for q. -1 Solve 3*n = 4*o + 29, -998*o - 10*n - 12*n + 144 = -993*o for o. -2 Solve -16*v + 53 = g, 4*g + 3368 - 3412 = -8*v for g. 5 Solve -5*y + 3*y + 208 = 6*u, 4 = -5*y + 4*y - 0*y for u. 36 Solve -5*j - 5*v + 46 = -2*j, -j + 10 + 2 = 2*v - 6 for j. 2 Solve 324 - 288 = 3*u - 2*a, 0 = -4*u + 5*a + 55 for u. 10 Solve -10*n - 7*n - 3 = -16*n - i + 1, 2*n - i + 3 = 0 for n. 1 Solve 3*z + 0*z - 3*r = 27, -3*z - 492 + 415 = 5*r for z. -4 Solve 4*g - 5*o = 25, -7131*o = 18*g - 7134*o + 63 for g. -5 Solve -6*r - 28 = 9*r - 12*r + 4*a + 39, 5*r = 4*a + 59 for r. -1 Solve -3*s - 11*c - 81 = 0, -11 = 5*s + 3*c - 1 + 33 for s. -5 Solve -5*f + 22 = -p, -2414*f + 2411*f - 5*p - 25 + 0 - 1 = 0 for f. 3 Solve 4*x = -58*s + 62*s + 312, -6*s - 3*x - 477 = 0 for s. -79 Solve -k + 468*a - 456*a = -64, -3*k = 5*a + 13 for k. 4 Solve -3*v = -v - 4*z + 13649886 - 13649904, -3*z = -10*v - 12 for v. -3 Solve 0 = -3*q + 4*v - 43, 2*q = -0*q - 829*v + 826*v + 28 for q. -1 Solve 0 = -7*f + 14, -1437*s + 1436*s - 2*f + 70 = 0 for s. 66 Solve 10*j - 6*j - 1 = -811*p + 812*p - 4, 5*j - 54 = -7*p for p. 7 Solve m + 13 = 12*v, v - 5*m + 452 - 399 = 0 for v. 2 Solve 0 = 97*x - 4*y - 691, -9*x - 1049 = -4*y - 1124 for x. 7 Solve 0 = 2567*v - 2569*v - 2*n - 164, 4*v + 2*n = -n - 242 for v. 4 Solve 5998*t - 10 = -a + 6003*t, 5*t + 30 = -a for a. -10 Solve -5*h + 10*b = 55, -20*b = 5*h - 22*b + 7 for h. 1 Solve -2126*h = -2129*h - t + 31, 5*h + 51 = 2*t for h. 1 Solve 4*r - 5*t + 29 + 17 = -5 + 4, r = -3*t + 1 for r. -8 Solve 5*j - 57*a + 34*a = -22*a - 39, -3*j = a + 1 for j. -5 Solve -2*z = -4*d + 24, 6*z + 363 = -6*z - 9*z - 5108*d + 5113*d for z. -18 Solve 0*t + 30*u + 7*u = -0*t + 148, -5*t + 5*u = -3*t + 14 for t. 3 Solve 6*h + 3*n - 72 = 0, h - 21*n - 9*n + 27*n = 12 for h. 12 Solve 7*j - 8*j - 10 = -4 - 3, -2*j = -98*i + 692 for i. 7 Solve -25*n - 5*x + 155 = -23*n, -16*n + 28*x = -18*n + 32*x - 124 for n. 0 Solve -440*g + 2*p - 14 + 4 = -429*g, -4*g - 4*p + 60 = -6*g for g. 2 Solve -628*i - 31 = 3*r - 624*i, 0 = -5*r - 2*i - 33 for r. -5 Solve -4*q - 23 = -13612*i + 13631*i + 14, 21 = 3*q - 2*i for q. 5 Solve -r + 10*r - 24 = 5*r -
{ "pile_set_name": "DM Mathematics" }
e (10/(-7))/((-9)/63). Find the third derivative of -s*p**5 - 6*p**5 + p**2 - 10*p**v + 16*p**5 wrt p. -1200*p**3 Let a(v) be the third derivative of 67*v**7/210 - v**6/120 + 412*v**4/3 - 157*v**2 - 16. Find the second derivative of a(g) wrt g. 804*g**2 - 6*g Let h(z) be the first derivative of 907*z**4/4 - 6*z**3 + 15*z**2/2 - 140. What is the third derivative of h(s) wrt s? 5442 Suppose -4 = 3*i - 13, m + 3*i = 13. Differentiate -165*b**m + 68*b**4 + 63*b**4 + 1 with respect to b. -136*b**3 Let w be (16/(320/30))/((-3)/(-4)). Find the second derivative of -173*g**3 + w + 42*g - 2 - 87*g + 28*g wrt g. -1038*g Suppose 11*f - 37 + 4 = 0. What is the third derivative of o + 34*o**4 - 51*o**f + 61*o**2 - 58*o**3 + 109*o**3 wrt o? 816*o Let l(j) be the third derivative of 0*j**3 + 6*j**4 - 39*j**2 + 0 + 0*j - 7/60*j**5. What is the second derivative of l(p) wrt p? -14 Let m(f) be the third derivative of 589*f**5/30 - 958*f**3/3 + 1233*f**2. What is the derivative of m(k) wrt k? 2356*k Let c(r) be the first derivative of 1/2*r**2 + 0*r - 238 + 124/3*r**3. Find the second derivative of c(d) wrt d. 248 Let l(f) be the first derivative of -302*f**6 - 37*f**3/3 - 8*f + 1367. Find the third derivative of l(y) wrt y. -108720*y**2 What is the first derivative of -291 + 2*c**2 - 1141*c + 2153 - 2*c**2 + 3*c**2 + 1663 wrt c? 6*c - 1141 Let g = 558 + -556. Find the second derivative of 122*m + 3707*m**4 - g - 3717*m**4 + 2 + 4*m**5 wrt m. 80*m**3 - 120*m**2 Let t be (-26)/3*(-8)/((-80)/(-15)). What is the derivative of -55*y**2 - 53 - t + 108*y**2 wrt y? 106*y Let c(u) be the second derivative of -101*u**4/12 + 1005*u**2/2 - 2453*u. What is the derivative of c(m) wrt m? -202*m Let h be (-730)/(-70) - (-6)/(-14). Let y = h + 39. What is the third derivative of 3*x**5 - 9*x**5 - 26*x**2 + y*x**2 wrt x? -360*x**2 Find the second derivative of -17*y**3 - 25*y**2 + 3163 - 3163 - 10424*y wrt y. -102*y - 50 Let o = -53 + 77. What is the second derivative of 12*t + 1 + o*t + 10*t - 124*t + 24*t - 271*t**5 wrt t? -5420*t**3 Let u(f) be the first derivative of -9013*f**5/5 - 3179*f + 10708. What is the derivative of u(i) wrt i? -36052*i**3 Let v = -15 - -9. Let i(p) = 11*p**2 - 18. Let a(w) = -182*w - 21 + 182*w + 2 + 10*w**2. Let h(u) = v*a(u) + 5*i(u). Find the first derivative of h(k) wrt k. -10*k Let s be 50 - (25/(-5))/5. Suppose -s*x + 54*x - 9 = 0. What is the derivative of -7*q - 10*q + x*q - 24 wrt q? -14 Let y(g) be the first derivative of -35*g**6/2 - 3*g**5 - 1061*g**2/2 + g + 3384. Find the second derivative of y(u) wrt u. -2100*u**3 - 180*u**2 Suppose 5*k + 9 = -4*q + 11, 0 = 4*k - q - 10. What is the third derivative of 20 + 8 + 3 + 2*v**k - v**4 - 40*v**3 - 9 wrt v? -24*v - 240 Let l = 0 + 55. Suppose 5*z - 36 = -2*k + 11, -2*k = -3*z - l. Differentiate 9*h - k + 15*h + 5*h with respect to h. 29 Let y(l) = -4897*l**2 + 1811*l - 2. Let t(f) = -9793*f**2 + 3619*f - 4. Let m(u) = 6*t(u) - 13*y(u). What is the second derivative of m(x) wrt x? 9806 Let g be 2/(-14) + 176/56. Suppose -8*v - 5*h + 12 = -4*v, 9 = g*v + h. Find the second derivative of 0*z**3 + 7*z - 2*z**3 - 18*z - 4*z**v wrt z. -36*z Let o(u) be the third derivative of -u**7/70 + u**4/24 - 1048*u**3/3 + 15*u**2 - 163*u. Differentiate o(w) wrt w. -12*w**3 + 1 Let d = -17 - -190. Suppose -5*l - d = -6*l. What is the second derivative of l*k**4 + 0*k - 166*k**4 - 13*k wrt k? 84*k**2 Suppose -85*a + 81*a = -112. Differentiate -14 - a - c + 2 - 59 with respect to c. -1 Let u(a) be the third derivative of 0*a - 2/3*a**4 + 0 + 67/20*a**5 + 96*a**2 - 1/6*a**3. Find the second derivative of u(o) wrt o. 402 Let h(j) = -191*j**3 - 102*j**2 + 5*j - 4. Let o(c) = -c**3 + 4*c**2 - c + 1. Let s(a) = 2*h(a) + 10*o(a). What is the third derivative of s(y) wrt y? -2352 Suppose 5*j + 3*s + 4 = 17, 3*j - s - 19 = 0. Find the third derivative of 6*z**2 + 3*z**j - 19*z**4 + 21*z**2 - 2*z**5 + 33*z**2 wrt z. 60*z**2 - 456*z What is the second derivative of -10772*c + 20272*c + 324*c**4 - 12170*c - 1445*c**4 - 2213*c**4 wrt c? -40008*c**2 Let n(q) = 1380*q**3 - 1181*q**2 - 2. Let k(g) = -1379*g**3 + 1180*g**2 + 3. Let i(a) = -2*k(a) - 3*n(a). Find the third derivative of i(p) wrt p. -8292 Let z be (2/(2*4/(-16)))/(-1). Find the second derivative of z*b + 13 - 5*b - 138*b**5 - 70*b**5 - 4*b + 0*b wrt b. -4160*b**3 Let c(b) be the second derivative of -843*b**8/14 + 2539*b**4/12 + 1195*b - 2. What is the third derivative of c(p) wrt p? -404640*p**3 Let a = 288 - 131. Find the second derivative of -a*d - 13906*d**2 + 19*d + 13983*d**2 wrt d. 154 Let s(l) be the second derivative of -17*l**4/3 + 5*l**3/3 + 1213*l**2/2 - 2501*l. Find the first derivative of s(m) wrt m. -136*m + 10 Find the first derivative of -6141*a - 750*a - 1327 + 507 - 1745 wrt a. -6891 Let q(z) be the third derivative of -1779*z**7/70 + z**4/8 + 833*z**3/6 + z**2 + 4*z - 36. What is the second derivative of q(c) wrt c? -64044*c**2 Find the second derivative of 614*d**2 - 3740*d + 693*d**2 + d**4 - 1306*d**2 + 6*d**3 wrt d. 12*d**2 + 36*d + 2 Let b(y) = -2063*y**3 + 2*y**2 + 3332*y - 4. Let n(a) = -5*a**3 + a**2 - 2. Let o(p) = b(p) - 2*n(p). Find the second derivative of o(c) wrt c. -12318*c Let j(f) = -25*f + 2. Let o(n) = 1893*n + 4898. Let u(h) = j(h) - o(h). What is the first derivative of u(g) wrt g? -1918 Let d(v) = -919*v**4 - 1260*v**2 - 9*v. Let o(q) = -459*q**4 - 629*q**2 - 5*q. Let z(u) = -5*d(u) + 9*o(u). What is the third derivative of z(t) wrt t? 11136*t Let x(z) be the third derivative of -7*z**6/12 - 3*z**5/20 + 6641*z**4/24 - 593*z**2 - 2. What is the second derivative of x(b) wrt b? -420*b - 18 Let i(v) be the second derivative of 6233*v**4/12 - 4641*v**2/2 + 10624*v. Differentiate i(q) with respect to q. 12466*q Let n be (20 - 18) + 0/1. Differentiate -n*j**2 + 16*j + 183 - j - 195 wrt j. -4*j + 15 Let a(c) = -186*c**3 - 23*c - 9. Let p be a(-5). Find the third derivative of 50*n**3 - p*n + 23356*n - 52*n**2 wrt n. 300 Let r(d) = -6*d - 7. Let m be r(-2). Let x(p) = -22*p - 77. Let w(k) = -23*k - 76. Let z(y) = m*w(y) - 6*x(y). Differentiate z(g) with respect to g. 17 Let v(t) be the third derivative of -1007*t**6/120 - 79*t**4/12 + 280*t**2 - 2*t. Find the second derivative of v(a) wrt a. -6042*a What is the second derivative of -397*x + 2 + 350*x**2 + 341*x**2 - 924*x - 285*x**2 + 366*x**2 wrt x? 1544 Differentiate -65*q + 93*q + 824 + 711*q with respect to q. 739 What is the third derivative of -2*n**4 - 360*n**2 + 24*n**3 + 2 + 5*n**3 + 3*n**3 + 147*n**2 wrt n? -48*n + 192 Suppose 0 = -2*q + 31 + 163. Find the second derivative of 79*i + q*i**2 + 49*i**4 - 36*i**4 - 14*i**4 - 326*i**2 wrt i. -12*i**2 - 458 Let l(g) = -293*g**3 + 47*g**2 + 4769. Let k(q) = -244*q**3 + 39*q**2 + 3974. Let a(s) = -13*k(s) + 11*l(s). Differentiate a(r) with respect to r. -153*r**2 + 20*r Suppose 39 = 7*i - 10. Let d(h) = 2*h - 12. Let l be d(i). What is the first derivative of -5*p**l + 5*p**3 + 5*p**2 + 164 - 154 wrt p? 15*p**2 Let d = 364 - 337. What is the third derivative of -18*o**2 - d*o**3 - 1 + 19*o**2 + 22*o**3 wrt o? -30 Let m(j) = 1041*j**4 - 10*j**2 - 1663. Let d(l) = 3122*l**4 - 28*l**2 - 4986. Let n(y) = -5*d(y) + 14*m(y). What is the first derivative of n(r) wrt r? -4144*r**3 Let m(z) be the second derivative of -2 - 18/5*z**6 + 54*z**2 + 0*z**5 + 0*z**3 + 0*z**4 + 23*z. What is the derivative of m(r) wrt r? -432*r**3 Find the second derivative of -651*q + 716*q**5 + 4213*q - 104*q - 863*q + 3066*q wrt q. 14320*q**3 Find the third derivative of 4793*x**4 + 151 - x**2 + x**2 - x**2 + 3522 + 3809*x**4 wrt x. 206448*x Let l(x) be the third derivative of 0*x**4 + 0 - 9/35*x**7 - 237*x**2 + 0*x**6 + 0*x + 1/6*x**3 + 41/60*x**5. Find the third derivative of l(c) wrt c. -1296*c What is the second derivative of -45*h - 1455*h**4 - 25*h + 72*h - 90 wrt h? -17460*h**2 Suppose 9*h = 4*h + 65. Suppose d - 161 = -159. What is the second derivative of -h*r**2 - 32*r + 5*r**2 + 39*r**d wrt r? 62 Let h(k) = -24*k + 2. Let a be h(-1). What is the first derivative of 54*y + a*y - 54 + 79*y + 14*y - 61 wrt y? 173 Suppose 5*t + 22 = -3*r, 14 = -7*t + 2*t - r. Let f = t + 13. What is the first derivative of -14 - 5 + 0 + 13*s**2 - f wrt s? 26*s Let
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of h? 0 Suppose 52 - 28 = -4*v. What is the units digit of -1 - -4*(-2 - v)? 5 Let i(u) be the second derivative of u**3/6 - 2*u**2 - u. Let w be i(2). What is the units digit of (-8)/(3/9*w)? 2 Let g = 713 - 471. What is the units digit of g? 2 Suppose 2*x + z - 14 = 0, -4*x + 26 = -0*x + z. Suppose 6 = -x*w + 8*w. Suppose -w*s = s - 108. What is the units digit of s? 7 Let h = -103 - -105. Suppose -97 = -5*x - h. What is the tens digit of x? 1 Suppose 3958 = 20*q + 198. What is the tens digit of q? 8 Let l(a) = -2*a**3 + 17*a**2 - 8*a + 11. Let x be l(8). Suppose x*y + 136 = 12*y. What is the tens digit of y? 3 Suppose x - 15 = -5*z, 0 = 2*x - 3*x - 4*z + 12. Suppose 2*c + g + 1 = x, 0 = -2*c + g + 1 + 8. Suppose c*k - 36 = -0*k. What is the units digit of k? 8 Suppose -4*i = x + 3*x + 1376, 0 = x + 2*i + 341. Let l = -197 - x. What is the units digit of l? 0 Let j(g) = 3*g + 1. Let r be j(-5). Let w = r - -40. What is the tens digit of w? 2 Let r(k) = -4*k + 86. Let a be r(23). What is the units digit of a/14 + (-689)/(-7)? 8 Let j = -2028 + 3012. What is the tens digit of j? 8 What is the units digit of 16239/36 + (-3)/36? 1 What is the tens digit of ((-8)/(-12) - (-370)/120)*984? 9 Let t = 584 - -1954. What is the units digit of t? 8 Let p(q) = -6 + 8*q - 6*q - 5*q - 1. What is the tens digit of p(-12)? 2 Suppose -3*o + 3*c + 12 = -0*c, -4*o - 8 = 2*c. Suppose 3*w + 2*k + 22 = o, 0*k + 25 = -5*k. Let p(s) = -5*s + 5. What is the tens digit of p(w)? 2 Let g be (14 + 442)*(-4)/3. Let m be (-4)/6 - g/48. Let j(y) = y**2 - 11*y - 11. What is the units digit of j(m)? 1 Let y be 48/32 - (31/(-2))/(-1). Let x = y + 127. What is the tens digit of x? 1 Suppose -3*p = -5*p + 4. Let s be (-3712)/(-48)*3/p. What is the tens digit of s/2 + -4 + 1? 5 Suppose 0 = -5*v + 3*v - 130. Let i = -20 - v. What is the tens digit of i? 4 Let a(r) = -37*r + 16. What is the hundreds digit of a(-4)? 1 Let q = -5515 + 7918. What is the hundreds digit of q? 4 Suppose -2*p = 4*k + p - 265, -5*k + 323 = p. Suppose 5*b + k = y + 3*y, -b - 59 = -5*y. What is the tens digit of y? 1 Let s(p) = -396*p - 457. What is the units digit of s(-3)? 1 Let q = -99 + 252. What is the units digit of q? 3 What is the hundreds digit of (35/20)/((-4)/(-2144))? 9 Suppose 15 = 5*y - 5*c, 4*y - 4*c + 3*c - 15 = 0. Suppose -g - 3*d - 2 = -1, 4*g + d + y = 0. What is the tens digit of (-52)/g + 2 + -5? 4 Suppose -11 - 5 = -g. Let z = g - 20. Let y = z - -7. What is the units digit of y? 3 Let n be (-4)/3*(-33)/2. Let l = -7 + n. Let s = l - 12. What is the units digit of s? 3 Let t = -7008 + 10455. What is the thousands digit of t? 3 Suppose 3*z + 2*z - 40 = 0. Let n be 2*-2*(-20)/z. Let v = 37 - n. What is the units digit of v? 7 Let i = 1 - -7. Suppose -3*m - 5*n + 23 = 0, -1 = m + 2*n - i. What is the tens digit of m? 1 Let p(l) = 46*l**2 + 64*l - 5. What is the hundreds digit of p(4)? 9 Suppose 3*f = -4*c - 29, -f - 2*c - 42 = 3*f. Let y = -9 - f. Suppose -y*t = -h - 66, 28 = t - 0*t - 3*h. What is the tens digit of t? 3 Let i = 124 + 91. Suppose 4*b - i = -3. What is the tens digit of b? 5 Suppose 13*o = 12*o. Suppose -7*a + 2*a + 30 = o. What is the units digit of a? 6 Let t = 17 - 66. Let b = t + 72. What is the units digit of b? 3 Let j = -1154 + 2154. What is the hundreds digit of j? 0 Let g(d) = 91*d**2 + 7*d + 32. What is the thousands digit of g(-4)? 1 Let d(x) = x**3 - x + 2. Let b be d(0). Suppose -4*t - q = -311, 2*t + 314 = 6*t - b*q. What is the units digit of t? 8 Suppose 3*t = 5*g + 2291, -3*t - 2*t + g + 3855 = 0. What is the units digit of t? 2 Let z(c) = -3*c**3 - 7*c**2 - 3*c + 23. What is the tens digit of z(-4)? 1 Suppose 4*x + 3*f + 24 = 0, 3*x + 0*x - 4*f + 18 = 0. What is the tens digit of (0 + 114/4)/(x/(-12))? 5 Suppose 0 = -b + 3*c + 1, 2*c + 1 = 2*b + 19. Let q = b + 21. Let x = q + 9. What is the units digit of x? 6 Suppose -8*d = 9805 - 45317. What is the hundreds digit of d? 4 Suppose 65*v = 3168 + 2422. What is the tens digit of v? 8 Let b(s) = -s**3 - 25*s**2 + 67*s - 25. What is the units digit of b(-28)? 1 Let l = 1128 + -588. What is the units digit of l? 0 Let u = -56 - -30. Let c = u + 15. Let a = 31 + c. What is the units digit of a? 0 Suppose 3*g = 5*g - 8. Suppose w + 16 = 3*y, 3 - 7 = 3*y + g*w. What is the units digit of y? 4 Suppose 0 = 5*j - 3*j - 38. Let x be (-6)/21 - j/7. Let f(v) = v**3 + 4*v**2 + 2*v - 2. What is the units digit of f(x)? 1 Let b(h) = 5*h**3 + 20*h**2 - h - 8. Let t be b(-4). Let v(a) = -3*a**3 + 2*a - 4*a - 2 + 2*a**3 - a**2. What is the tens digit of v(t)? 5 Let i(j) = 142*j - 41. Let r be i(-4). Let x = -425 - r. What is the tens digit of x? 8 Let k(m) = m - 3. Let u be k(6). Suppose 3*v + 4*b - 31 - u = 0, 5*b - 44 = -4*v. Let c = 16 - v. What is the tens digit of c? 1 Suppose 15*y = 12*y. Suppose -191 - 39 = -2*m - d, -4*m + 3*d + 470 = y. What is the tens digit of (m/(-6))/(20/(-30))? 2 Let w be 12/9 - 70/(-6). Suppose -w*o + 1433 = -62. What is the units digit of o? 5 Let u(a) = -a**2 + 3 + 3*a + 0*a**2 + 5 + 0*a. Let l be u(4). Let o(t) = 6*t + 2. What is the tens digit of o(l)? 2 Suppose -4*i - 5*x = -i + 265, -4*i - 2*x = 330. Let b be ((-5)/(-4))/((-10)/i). Suppose 3*n - b = 92. What is the tens digit of n? 3 What is the hundreds digit of 21*-1*(-3560)/120? 6 Let x = 65 - 49. Suppose d - x = -3. What is the units digit of d? 3 Let n be (-12)/54 + 148/18. Suppose -n*v - 12 = -5*v. Let d = 9 - v. What is the tens digit of d? 1 Let k(f) = -2. Let s(d) = -1. Let m(q) = -4*k(q) + 5*s(q). Let g(v) = v - 4. Let w(n) = 4*g(n) + 5*m(n). What is the tens digit of w(3)? 1 Suppose -7 + 2 = -5*s. Suppose 4*n = 4*q - 28, 21 = -4*n + s. What is the units digit of q/(-4) - (-124)/8? 5 Suppose -1 = 4*t - 13. Suppose -m - 4 = j - 2, t*j + 5*m = -14. Suppose -5*q - 5 = -5*d, 0 = 5*q + 3*d + j*d - 25. What is the units digit of q? 2 Let a(c) = 2*c + 4. Let o be a(-4). Let y be 26/6 + o/(-6). Suppose 3 = y*z - 92. What is the tens digit of z? 1 Suppose 10494 = 4*m - 5*p, 5*m - 13101 = 9*p - 11*p. What is the thousands digit of m? 2 Suppose -6217 = -3*c + 5*f - 2139, -3*f + 5418 = 4*c. What is the units digit of c? 6 Suppose -3*u - 113856 = -51*u. What is the units digit of u? 2 Let s(v) = -2*v**3 - 9*v**2 + 5*v + 2. Let w be s(-5). Suppose -2*o - w*p = 3*o - 316, 0 = 4*p + 8. What is the units digit of o? 4 Suppose -4*i + 4 = -4. What is the units digit of -1 + i - 290/(-5)? 9 Let m = -10 - -14. Let d be 1/(3 - 10/m). What is the tens digit of (0 + d + -9)*-5? 3 Let g = 1526 + -871. What is the hundreds digit of g? 6 Suppose 1578 = 149*h - 143*h. What is the tens digit of h? 6 Let s(x) = -9*x + 1. Let u be s(7). What is the tens digit of 20 - u - 2/2? 8 What is the tens digit of (-3220)/(-6) - (-19)/57? 3 Let j be 2 - (1 + -1 - 0). Suppose 3*k = -j*x + 242, 2*x - 7*x + 5*k + 605 = 0. Suppose 19 + x = 5*v. What is the tens digit of v? 2 Let w = -1594 + 3771. What is the units digit of w? 7 Let s(m) = 3*m**3 - m + 3. Let k be s(3). Let z(w) = 2*w**2 + 49*w + 247. Let l be z(-8). Let v = k + l. What is the tens digit of v? 6 Suppose z - 4 = 4*v, 4*z - v - 23 = -7. Suppose -23 = -2*h - 5*p, -5*h + 3*p + z = -7. Suppose h*m + 6 = 14. What is the units digit of m? 2 Let y = -10 + 14. Let u be (y - 0)*(3 - 2). Suppose -5*g - u*t = -343, -g + 5*t + 57 = -0*g. What is the units digit of g? 7 Suppose 17*p = 16*p. Let y be (3 - p)/(12/608). Let k = -88 + y. What is the units digit of k? 4 Let l be 3 + 0/4*(2 + -1). Suppose 5*m + l*n - 56 = 999, -857 = -4*m - 5*n. What is the units digit of m? 8 Let p = 2206 - 544. What is the thousands digit of p? 1 Let v = 144 - 217. What is the units digit of -2*1*v/2? 3 Let b = -58 + 83. Let m be (-4)/(-26) + 72/39. Suppose 2*g + m*g - p = 91, p + b = g. What is the units digit of g? 2 Let n = -404 + 1261. What is the tens digit of n? 5 Suppose -9*c + 5255 + 8947 = 0. What is the hundreds digit of c? 5 Suppose 2*i - 26 = 2*t, -2*t - 44 = -5*i + i. Let l = -2 + i. What is the units digit of l*4/(-8)*-10? 5 Let c = -336 + 636. What is the tens digit of c? 0 Suppose 33*d = 17*d + 23232. What is the thousands digit of d? 1 Let p be 2/(((-21)/486)/(-7)). Suppose -p = -4*z + 5*n, -3*z - n + 2
{ "pile_set_name": "DM Mathematics" }
-29*h**3 + h Let m(f) = 9*f**2 - 11. Let p = 2 + -13. Let s(w) = 5*w**2 - 6. Let x = -7 - -13. What is p*s(z) + x*m(z)? -z**2 Let h(n) = -2*n**2 + 11*n + 3. Let f(k) = -k**3 + 5*k**2 - 22*k - 6. Determine 2*f(s) + 5*h(s). -2*s**3 + 11*s + 3 Let m be (-2)/(-3) + 2/6. Let s(j) = 1. Suppose -3*y + 2 = -2*y. Let t(z) = y*z - 7 + 3 + 6. What is m*t(l) - s(l)? 2*l + 1 Let q(r) = 9*r**3 + 6*r**2 - 4*r - 4. Let l(m) = m**3 + 1. Let f(z) = 2*l(z) - q(z). Let v(d) = -d**3 - d**2 + d + 1. Calculate -f(i) + 6*v(i). i**3 + 2*i Let y(q) = -3*q**2 + 2*q + 2. Let m(j) = j**3 - 8*j**2 - 6*j - 12. Let o be m(9). Let r be 6/(-10) - (-39)/o. Let s(g) = g + 1. Give r*s(d) - y(d). 3*d**2 Let o(p) = p - 1. Let v(q) = -2*q + 1. Determine 5*o(y) + 4*v(y). -3*y - 1 Let k(v) = -v**3 - v**2 + v + 1. Let g(y) = 0*y**2 + 4*y**3 - 2 + 3*y**2 + 0*y**2 - 5*y + 2*y. Determine g(c) + 3*k(c). c**3 + 1 Let m = 1 + 2. Let j(y) = 5*y. Let a = 1 - -3. Let b(w) = a - 6*w - 4. Calculate m*b(i) + 4*j(i). 2*i Let x(z) = -3*z**3 - 2*z - 5. Let j(i) be the second derivative of -3*i**5/20 - i**3/3 - 3*i**2 - 16*i. Calculate 5*j(o) - 6*x(o). 3*o**3 + 2*o Let x(h) = -505*h**2 - 85*h + 85. Let n(s) = 18*s**2 + 3*s - 3. Determine 170*n(i) + 6*x(i). 30*i**2 Let x(o) = -4*o. Let m(z) = -z**3 + 4*z**2 + 6*z + 5. Let w be m(5). Let c be 6 + -3 + (-1 - -15). Let d = -15 + c. Let k(v) = v. Give d*x(r) + w*k(r). 2*r Let r(t) = 2*t - 2. Let m(w) be the first derivative of w**4/12 - w**3/3 + w**2/2 + 7. Let h(b) be the second derivative of m(b). What is -4*h(d) + 3*r(d)? -2*d + 2 Let w(d) = 6*d**2 - 4*d. Let m(r) = -17*r**2 + 12*r + 1. Determine -4*m(o) - 11*w(o). 2*o**2 - 4*o - 4 Let i = -34 + 18. Let z = -12 - i. Let o(q) = 2*q + 2. Let f(t) = 2*t + 1 + 0*t + 2. Give z*o(u) - 3*f(u). 2*u - 1 Let i(o) = 2*o + 22. Let y be i(-8). Let g(f) = 10*f. Let s(m) = 11*m. Give y*s(r) - 7*g(r). -4*r Let g(y) = -y**3 - y + 1. Let x(d) = -d**3 - d**2 + 1. Let s be x(0). Let v(j) = -4*j + 33. Let p be v(7). Let k(c) = 3*c**3 + 5*c - 4. Give p*g(t) + s*k(t). -2*t**3 + 1 Let z(o) = 6*o**3 + 5*o**2 + 5*o. Let k(b) = -b**3 - b**2 - b. Let p(w) = -w**2 + 7*w - 3. Let f be p(6). Determine f*z(j) + 15*k(j). 3*j**3 Let r(n) = n**2 + 2*n - 5. Let l(i) = 5*i**2 + 11*i - 26. Calculate 2*l(z) - 11*r(z). -z**2 + 3 Let r(q) = -4*q + 4. Let i(t) be the third derivative of t**4/24 - t**3/6 - 20*t**2. What is 14*i(g) + 3*r(g)? 2*g - 2 Let w(q) = q**2 + 3. Let v(k) = -5*k**2 - 16. Calculate -2*v(r) - 11*w(r). -r**2 - 1 Let h(l) = -l**2 - 3*l - 2. Let w(b) = -3*b - 21. Let f be w(-6). Let m(u) = 2*u**2 + 3*u + 3. Determine f*m(g) - 4*h(g). -2*g**2 + 3*g - 1 Let m(o) = 8*o**3 + 3*o**2 - 3*o + 3. Let t(f) = 15*f**3 + 5*f**2 - 5*f + 5. Calculate 5*m(z) - 3*t(z). -5*z**3 Let v(f) = -16*f**3 - 31*f**2 - 5*f + 6. Let o(c) = -3*c**3 - 6*c**2 - c + 1. Give 11*o(r) - 2*v(r). -r**3 - 4*r**2 - r - 1 Let p(d) be the third derivative of 2*d**2 + 0 - 1/12*d**4 + 0*d + 1/2*d**3. Let s(q) = q. Let g be s(-3). Let c(h) = 3*h - 4. Calculate g*c(b) - 4*p(b). -b Let r(v) = 0*v**2 - 3 - 2*v**2 - 2*v**2 + 2*v**2. Suppose -5*u = -3*u - 4. Let l be (-8)/6*15/u. Let x(k) = -6*k**2 - 10. What is l*r(z) + 3*x(z)? 2*z**2 Let n(k) = -7*k**2 + 7*k. Let l(r) = -7*r + 12*r - 9*r**2 + 17*r - 13*r**2. Calculate -5*l(u) + 16*n(u). -2*u**2 + 2*u Let n(v) = 7*v**2 - 5*v - 5. Let q(p) = 6*p**2 - 4*p - 4. Suppose 0 = -2*w - 1 - 7. Calculate w*n(m) + 5*q(m). 2*m**2 Let z(x) = -10*x + 40. Let n(s) = 3*s - 13. Calculate 7*n(k) + 2*z(k). k - 11 Suppose 5*q + 9 = -4*r, 3*r - 5*q = 6*r + 8. Let i(g) = g**3 + g**2 + 1. Let b(s) = -10*s**3 - 5*s**2 - 5. Calculate r*b(t) - 5*i(t). 5*t**3 Let r(d) = 8*d**3 + d**2 - 2*d - 1. Let w be r(-1). Let s(a) = -a**3 - a**2 + 1. Let y(v) = 4*v**3 + 9*v**2 - 6. What is w*s(g) - y(g)? 2*g**3 - 3*g**2 Let s(f) = -3*f + 5. Let o(u) = -16*u + 24. Give -5*o(v) + 24*s(v). 8*v Let l(d) = 0*d**2 - 4 - 4 - d**2. Let x(m) = -4 - 2 + 4. Give -2*l(t) + 9*x(t). 2*t**2 - 2 Let k(i) = -i**2 + 8*i + 2. Let t be k(7). Let h(j) = j - j**2 + 2*j + 0*j - t. Let f(v) = -2*v**2 + 5*v - 14. Calculate -5*f(b) + 8*h(b). 2*b**2 - b - 2 Let c(d) = -d + 9. Let m be c(4). Let i(w) = 7 - 5*w + 3*w + w + 5*w. Let k(g) = -2*g - 3. Give m*k(x) + 2*i(x). -2*x - 1 Let n(p) = 6*p - 14. Let d(v) = 5*v + 21. Let w be d(-5). Let l(x) = 2*x - 5. Calculate w*n(r) + 11*l(r). -2*r + 1 Let s(d) = 8*d**2 + 5*d - 2. Let z(a) = -2*a - 2*a + 1 - 3*a**2 + 1 - 4*a**2. Suppose -q - 17 = -3*x + x, 7 = -3*x - 5*q. Give x*z(n) + 5*s(n). -2*n**2 + n + 2 Let j(o) = -o**2 + o. Suppose -4*g + 2 = -14. Suppose -k + 3 = -g*k. Let c(m) = -m**2 + 5*m. What is k*c(p) + 3*j(p)? -2*p**2 - 2*p Let g be (6/(-4))/(4/8). Let n(c) = 2*c - 2. Let r(h) = -h + 1. What is g*n(p) - 8*r(p)? 2*p - 2 Let a(g) = 2*g**3 - g**2 - 4*g. Let w(s) = s**3 - s**2 - s. Determine -a(j) + 4*w(j). 2*j**3 - 3*j**2 Suppose -1 = -2*m + 1. Suppose -c - 2 = -m. Let b(p) = p**2 + p + 1. Let i(w) = -4*w**2 - 2*w - 4. Give c*i(u) - 2*b(u). 2*u**2 + 2 Let f(m) = -8*m**3 - 7*m**2 - 7*m + 7. Let q(v) = 9*v**3 + 8*v**2 + 8*v - 8. What is -7*f(o) - 6*q(o)? 2*o**3 + o**2 + o - 1 Let x(v) = -12*v - 2. Let f(h) = -59*h - 11. Determine -2*f(z) + 11*x(z). -14*z Let r(f) = 2*f**2 + 4*f - 2. Let t(c) = 8*c + c**2 - 2*c - 5*c. Calculate -r(a) + 4*t(a). 2*a**2 + 2 Let a(i) = -2*i**2 - 3*i + 4. Let b(u) = u. What is -a(f) - 3*b(f)? 2*f**2 - 4 Let c(v) = -80*v**3 + 25*v**2 - 25*v - 25. Let u(f) = -10*f**3 + 3*f**2 - 3*f - 3. What is 3*c(z) - 25*u(z)? 10*z**3 Let b(v) = 4*v**2 - v - 2. Let j(r) = -r**2 - r. Give -b(a) - 2*j(a). -2*a**2 + 3*a + 2 Let k(s) = -8*s**3 - 6*s**2 - 6*s + 6. Let f(i) = -132*i + 1 + 264*i - i**2 - i**3 - 133*i + 0. Give 12*f(c) - 2*k(c). 4*c**3 Let t(v) = v**2 + 2*v + 0*v + 3*v**2 - 3. Let h(p) = -2*p + 4 + 4 - 11*p**2 - 3*p + 0. Calculate 3*h(o) + 8*t(o). -o**2 + o Let g(c) be the third derivative of -c**4/12 - c**3/3 + 15*c**2. Let l(k) = -k - 2. Let r be 2/(1 - 3)*1. Let h = 4 + r. Calculate h*g(a) - 4*l(a). -2*a + 2 Let z(r) = 8*r - 4. Let d = 18 + -11. Let m be (2 - 2)*(-1)/2. Let l(t) = 0*t + t + 8*t + m - 5. Determine d*z(k) - 6*l(k). 2*k + 2 Let p(j) = 6 - 56*j - 57*j + 106*j. Let i(h) = 1 + 0*h - h + 0. Determine 6*i(r) - p(r). r Let u(x) = x**3 - 1. Let c be 2/(-4) + 2/4. Let z(p) = c - 5*p**3 - 1 - 1 + 7. Let j be (-2 + (-10)/(-2))/(-1). Determine j*u(l) - z(l). 2*l**3 - 2 Let i(y) = 11*y + 4. Let v(m) = m + 1. What is 2*i(c) - 6*v(c)? 16*c + 2 Let n(a) = -14*a - 4*a**2 - 11 - 9 + 2*a**2 + 12. Let v(q) = q**2 + 9*q + 5. Calculate 5*n(b) + 8*v(b). -2*b**2 + 2*b Let i(p) = -36*p**3 + 4*p**2 - 4*p - 4. Let a(o) = 35*o**3 - 3*o**2 + 3*o + 3. Determine 4*a(g) + 3*i(g). 32*g**3 Let n(y) = 3*y**2 - 2*y - 1. Let r(i) = 13*i**2 - 9*i - 5. Let o(c) = -9*n(c) + 2*r(c). Let b(v) = -v**2 - 1. Calculate -b(d) - o(d). 2*d**2 + 2 Let m(t) = -5*t**2 + 1. Let q(y) = 10*y**2 + 6*y - 1. Let a(j) = j**2 + j. Let i(d) = 6*a(d) - q(d). Determine 4*i(s) - 3*m(s). -s**2 + 1 Let s(u) = -224*u**3 + 192*u + 192. Let x(v) = v**3 - v - 1. Determine s(h) + 192*x(h). -32*h**3 Let u(f) = 22*f**3 + 14*f**2 + 22*f + 16. Let s(m) = 7*m**3 + 5*m**2 + 7*m + 5. Give -16*s(w) + 5*u(w). -2*w**3 - 10*w**2 - 2*w Let g(i) = i + 2. Let r(l) = -1. Let t(j) = j - 3 + 5 - 2*j. Let z(m) = -4*r(m) - t(m). Give 4*g(c) - 5*z(c). -c - 2 Let o(k) = -62*k**3 + 6*k**2 - 6*k - 6. Let z(f) = 124*f**3 - 13*f**2 + 13*f + 13. Calculate 13*o(n) + 6*z(n). -62*n**3 Suppose 3*g = -g - 52. Let x(w) = 8*w**3 + 4*w**2 - 6*w + 3. Let i(p) = -17*p**3 - 9*p**2 + 13*p - 7. Give g*x(h) - 6*i(h). -2*h**3 + 2*h**2 + 3 Let t(f) = -11*f**3 + 5*f**2 - 3*f - 4. Let r(c) = 10*c**3 - 4*c**2 + 2*c + 3. Give -4*r(u) - 3*t(u). -7*u**3 + u**2 + u Let d(j) = -2*j + 1. Let z(b) = 2*b - 1. Suppose -5*n + 7*n - 12 = 0. Determine n*d(f) + 5*z(f). -2*f + 1 Let o(s) = -11*s**2 + 7*s - 3. Let u(z) = -5*z**2 + 3*z - 1. Give -4*o(n) + 9*u(n). -n**2 - n + 3 Let i(h) be the second derivative of -7*h**4/12 - h**3 - 3*h**2 + 6*h. Let k(j) = -13*j**2 - 11*j - 11. Let n be (1/(-3))/((-2)/66). Give n*i(r) - 6*k(r). r**2 Let v(u) = 5*u + 6*u + 6 - 11*u**3 - 11*u + 6*u**2. Let j(i) = -10*i**3 + 5*i**2 + 5. What is 6*j(f) - 5*v(f)? -5*f**3 Let t(b) = -2*b + 7. Let j(l) = 3*l - 10. Let w = 9 + -14. Determine w*j(s) - 7*t
{ "pile_set_name": "DM Mathematics" }
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-2714139 What comes next: -177580, -355467, -533378, -711325, -889320, -1067375, -1245502, -1423713? -1602020 What comes next: -388, -519, -816, -1279? -1908 What is next in 30561, 61230, 91899, 122568, 153237, 183906? 214575 What comes next: -31062691, -31062711, -31062731, -31062751, -31062771? -31062791 What comes next: -1638526, -3277039, -4915554, -6554071, -8192590, -9831111? -11469634 What is next in 12265869, 12265870, 12265871, 12265872, 12265873, 12265874? 12265875 What is the next term in 658899, 658808, 658717, 658626? 658535 What comes next: 1238, 1851, 3616, 7109, 12906, 21583? 33716 What is next in 142315084, 142315081, 142315078? 142315075 What is next in 1020903, 2041781, 3062659, 4083537? 5104415 What comes next: -322915, -323022, -323319, -323902, -324867, -326310? -328327 What is the
{ "pile_set_name": "DM Mathematics" }
4, -3.1? 0.4 What is the nearest to 11518 in 0.3, 11, -1/3, -27? 11 What is the nearest to 0 in 3, -3.5, 10609, -31? 3 Which is the nearest to 39? (a) 240 (b) 1/142 (c) -1 (d) -1/3 b What is the nearest to -4/9 in 3, -260, 2/243, -3? 2/243 What is the nearest to -7 in -0.01, 5, -0.2, -0.08, 1.1? -0.2 Which is the closest to -428? (a) -2/11 (b) -6/5 (c) 2211 b What is the nearest to 0.1 in -3, -153, -0.2, 1/4384? 1/4384 Which is the nearest to -11? (a) 1 (b) 4 (c) -68/5 (d) -3558 (e) -5 c What is the closest to -4.9 in 5.13, 3, -0.5, -79, 1/5? -0.5 Which is the nearest to -1? (a) 24/7 (b) -6 (c) -1 (d) 3241 c Which is the nearest to -1? (a) 3/11 (b) -71/8 (c) -2 (d) 0.03 (e) 58 c Which is the closest to 0.1? (a) 211 (b) 39/7 (c) 0.2 (d) -1/34 (e) 3 c What is the nearest to 73 in 0.5, 17, -7, -0.5, -62/7? 17 What is the nearest to -15/49 in 9, 3, -1091? 3 Which is the closest to -5/12? (a) -0.1 (b) 45.2 (c) 0.02 (d) -2 (e) 3 a Which is the closest to 0.1? (a) -27 (b) -1/9 (c) 39842 b Which is the nearest to -15763? (a) -3 (b) 4/9 (c) -70 c What is the nearest to -6/5 in -0.12, 189, 525? -0.12 What is the nearest to 1/4 in 0.1, 80, 41.1? 0.1 Which is the closest to 206/7? (a) -70 (b) 2/117 (c) 2/43 c Which is the closest to -611/7? (a) -0.08 (b) 1/3 (c) 5 (d) -3 (e) 0.2 d What is the nearest to 0.142 in 3919, 0, 2/5? 0 Which is the closest to -21? (a) -11 (b) 0.01 (c) 0 (d) 2/7 (e) 99 (f) 1.4 a Which is the closest to -2? (a) -1109 (b) -47 (c) -1.08 c Which is the closest to 0.1? (a) 2/17 (b) -6/23 (c) 36718 a What is the closest to -0.26 in 13, 1/4, 1, 0.137, -3, 17? 0.137 Which is the closest to -365.11? (a) -5 (b) 3 (c) 5 (d) -0.5 (e) -2/15 a Which is the nearest to 1? (a) -2/3 (b) -101 (c) -3.5 (d) -830 (e) -5 a What is the closest to 271.87 in -1.1, 3, -0.01? 3 Which is the closest to -16? (a) 0 (b) -3/4 (c) -8976 (d) -2 (e) 2 d Which is the nearest to -0.041? (a) -43 (b) -0.3 (c) 5 (d) 4 b What is the closest to 56 in 0.4, 6, 16/7? 6 Which is the closest to -1? (a) -2/17 (b) -14 (c) -2 (d) 2 (e) 11/32 a What is the closest to -4 in -5, -2/17, -0.11, -4, 163/33, 4? -4 Which is the closest to -2? (a) 3 (b) -2952 (c) -1/4 (d) 115 c Which is the closest to -2/47? (a) -3 (b) 3007 (c) -59 a Which is the nearest to -5/11? (a) 68 (b) 2 (c) 4 b What is the nearest to 2 in -2749.4, -1/20, 5, 3? 3 Which is the closest to -148/7? (a) 134835 (b) 0 (c) 0.1 b What is the nearest to 3 in 2/23, -0.02, 7/2, -2/7, 2682, -3? 7/2 What is the closest to 2/101 in -2.3, -3/7, 1621, 2/3, 2/9? 2/9 Which is the closest to 7? (a) 1.2 (b) -2/3 (c) 13 (d) 794 (e) -0.7 (f) 5/4 f What is the nearest to 115 in -48, -2/43, -0.1, 0, 4? 4 What is the nearest to 6/7 in 5, -0.5, 27, 11/5, -21/16, -0.2? -0.2 What is the nearest to -2/3171 in 0.5, -0.4, -3, -5, 377? -0.4 What is the closest to 1/2 in -0.4, 15, -2/11, 3.6, 2/49, 9? 2/49 What is the nearest to 1/4 in 2/45, 284, 0.1, -2/19, -7/2, -5? 0.1 What is the closest to 4 in -2.7, -0.23, -4/143, 0.3, 2, 2/25? 2 What is the closest to 2/5 in -4, -1/4, 165975? -1/4 Which is the nearest to -2? (a) 0.01 (b) 286.356 (c) -4 c Which is the closest to -1/2? (a) 1/5 (b) 2 (c) -701 (d) 707/10 (e) 8 (f) 2/7 a What is the closest to 0.57 in -3, 0.78, -344? 0.78 Which is the nearest to 5? (a) 15079 (b) 0.1 (c) 18 b Which is the nearest to -0.1? (a) 4 (b) -0.21 (c) 1/9 (d) -0.02 (e) -1/4 (f) 2 d Which is the closest to 0.6? (a) 10 (b) -4.30225 (c) 4 c What is the closest to 0.04 in -0.4, 51468, 21, -2? -0.4 Which is the closest to 8.9? (a) -1.8524 (b) -5 (c) 4 c What is the closest to -2/7 in -0.3, -63, 2, 4.7? -0.3 What is the closest to 38 in -187/5, 1, -25? 1 Which is the nearest to 5? (a) 5 (b) 3/7 (c) -11 (d) -0.757 a What is the nearest to 0.1 in 3/4, -0.5, 0.01, 0.35, -3507? 0.01 What is the closest to -1/4 in 590/9, 5, 146? 5 Which is the closest to 2049/4? (a) -0.02 (b) 1/6 (c) 10 c What is the closest to -10/163 in -24, 0, -1, -93? 0 Which is the nearest to 2/5? (a) -3061 (b) -3/370 (c) -0.09 b What is the nearest to 1/4 in -3/7, -17, -42, 1/37, 0.1? 0.1 Which is the nearest to 0.1? (a) -483 (b) 20 (c) -162 b Which is the closest to 0? (a) 10 (b) -3/7 (c) -387 (d) 1/3 (e) -1 d What is the nearest to 0.1 in 192/7, -488, 12? 12 What is the nearest to 5 in -8/7, -5, -4/9, 4, 0.29, 5? 5 What is the closest to -23 in -2733, 6, 34? 6 What is the nearest to -569 in -0.1122, -2, -0.4, -0.6? -2 Which is the nearest to -77? (a) -2 (b) 5 (c) -5 (d) -121.758 d What is the closest to 1 in -5.62, 0, -86688? 0 What is the closest to 63 in -2, 2.8, 0.1, 50, -0.1, -56? 50 Which is the closest to -320? (a) 13 (b) -22 (c) 4/5 b Which is the closest to 0.2? (a) -12 (b) -625 (c) 174 a Which is the closest to -1/3? (a) -1146 (b) -2/3 (c) -3/2 (d) -0.04 (e) -3/7 e What is the closest to 0.1 in 4, -2, 104, 3.72, -2/11? -2/11 What is the closest to -3 in 0.0893, 4, 75.5? 0.0893 Which is the nearest to 0.1? (a) 120591 (b) 0.1 (c) -4 (d) -4/5 (e) -0.4 b Which is the closest to 21? (a) -0.2 (b) -8 (c) -1/8 (d) 25 (e) -1.9 d Which is the closest to -2/5? (a) 0.65 (b) -15/4 (c) -8 (d) 1 (e) 24 a Which is the nearest to 1/6? (a) 0.06 (b) 2/5 (c) 2/1343 a Which is the closest to 1/2? (a) 3400/13 (b) -3 (c) -23 (d) -10 b Which is the closest to 0.3? (a) -50861.22 (b) 3/7 (c) 0.1 b What is the closest to 4 in 2, 4, -1037602? 4 What is the closest to 11699.2 in 0, 1, 3? 3 What is the nearest to -0.4 in -1/15, 362, -2/61, 0.11, 4? -1/15 Which is the nearest to -2? (a) -5 (b) 6328 (c) 42 a What is the closest to 4 in -137, 32, 28, -1? -1 What is the nearest to -2/5 in 11/43, 3308/5, 1? 11/43 Which is the nearest to -2? (a) 0.1 (b) 788 (c) 15 (d) 29 a Which is the nearest to 1/6? (a) -5 (b) -7 (c) 324 (d) -5/2 (e) -72 d Which is the nearest to -1? (a) 26 (b) -591 (c) -4/9 (d) -5 c What is the closest to 11 in -1, 166074, -5? -1 What is the nearest to -7/5 in 0.280801, -1/5, -2/3? -2/3 Which is the closest to -2/9? (a) 300 (b) 0.5 (c) -5/3 (d) -0.08 (e) -4 d Which is the closest to 37664? (a) 15 (b) 3 (c) -0.5 a Which is the nearest to -0.1? (a) 2 (b) -2/5 (c) -113.89 (d) 0.78 b What is the closest to 3/2 in 2/11, 40/59, 1517? 40/59 Which is the nearest to -2/11? (a) -0.09 (b) 2/11 (c) 32 (d) -0.3 (e) -0.714 (f) -0.1 f Which is the closest to -2045? (a) 27.1 (b) -3 (c) 2/17 (d) -0.2 (e) -0.1 b What is the nearest to -21 in 0.15, -0.057, -2, 82? -2 What is the nearest to 34 in 9, 44, 0.5, 7/11? 44 Which is the nearest to -249.98? (a) -54 (b) 0.4 (c) -52 a Which is the closest to 0.3? (a) 20 (b) 0.045 (c) 5 (d) -0.2 b What is the closest to 2 in -3/10, -1, 138, 19.27? -3/10 Which is the closest to 3/8? (a) 1/4 (b) 0 (c) -0.3 (d) -0.0055 (e) 32/3 a What is the nearest to 68 in 2/5, 0.07, -0.1, 16? 16 Which is the nearest to -1/2? (a) 0.4 (b) 89/4 (c) 6612 (d) -1 d Which is the nearest to -0.1? (a) -1028426 (b) 8 (c) -3/5 c What is the nearest to -48 in -11, -0.5, -0.64, -2/9? -11 What is the nearest to -5/2 in 1.2, 50, 31? 1.2 What is the nearest to 144 in -93, -4, 1/4, -1, 3? 3 What is the closest to -3/17 in -0.17, 1/15, 814? -0.17 Which is the nearest to 7? (a) 0.5 (b) -0.4 (c) 4 (d) -3 (e) 0 (f) -0.065 c Which is the nearest to -6? (a) 4 (b) 1/3 (c) -34 (d) -5 (e) -127 (f) 1/13 d What is the closest to -2/7 in -1, 748, 6, -4, 3/2, 5? -1 What is the closest to 0.1 in 22277, 1/5, 2/13? 2/13 Which is the nearest to 0? (a) 3/25 (b) 84.2 (c) -2/7 (d) 0 d What is the nearest to -1.29 in 2/17, 22, -4, 0, -1/6, -1/2? -1/2 What is the nearest to -0.269789 in 0.4, 5, -1, 41? 0.4 Which is the closest to -23? (a) 9 (b) -0.064 (c) -2/5 (d) 1 (e) 1/7 c What is the closest to -1/2 in 0, -2, 129807, 1/3? 0 Which is the nearest to 32? (a) -0.62 (b) 0.06 (c) -0.13 (d) 1/4 d Which is the closest to 0.6? (a) -0.12 (b) -17.93 (c) -0.5 (d) 4 a Which is the closest to 0.08? (a) -193/7 (b) 8/3 (c) 0 c What is the nearest to -24 in 0, 4343, 2/9? 0 Which is the closest to 11123? (a) -63 (b) 0.3 (c) -2/7 b What is the
{ "pile_set_name": "DM Mathematics" }
79, 625, 771? 146*l + 41 What is the m'th term of 27536, 27535, 27534? -m + 27537 What is the k'th term of -31, -41, -51, -55, -47, -21, 29, 109? k**3 - 6*k**2 + k - 27 What is the q'th term of -934, -936, -938, -940? -2*q - 932 What is the y'th term of 317, 329, 341? 12*y + 305 What is the x'th term of 9, 44, 111, 216, 365, 564, 819, 1136? x**3 + 10*x**2 - 2*x What is the u'th term of -89, -228, -459, -782, -1197, -1704? -46*u**2 - u - 42 What is the d'th term of -90, -236, -372, -492, -590, -660, -696, -692? d**3 - d**2 - 150*d + 60 What is the v'th term of -192, -190, -188, -186? 2*v - 194 What is the o'th term of 534, 539, 544, 549, 554? 5*o + 529 What is the c'th term of -258, -249, -228, -189, -126, -33, 96, 267? c**3 + 2*c - 261 What is the d'th term of 39, 72, 105? 33*d + 6 What is the w'th term of -137, -271, -405, -539, -673? -134*w - 3 What is the z'th term of 82, 85, 86, 85, 82? -z**2 + 6*z + 77 What is the p'th term of 208, 214, 220, 226? 6*p + 202 What is the m'th term of 84, 35, -38, -129, -232? m**3 - 18*m**2 - 2*m + 103 What is the u'th term of 53, 102, 183, 296, 441, 618, 827? 16*u**2 + u + 36 What is the z'th term of -4400, -4399, -4398, -4397? z - 4401 What is the g'th term of -33, -16, 5, 24, 35, 32, 9? -g**3 + 8*g**2 - 40 What is the d'th term of -89, -166, -231, -278, -301? d**3 - 84*d - 6 What is the h'th term of 1, 8, 15? 7*h - 6 What is the k'th term of 42, 40, 42, 48, 58, 72? 2*k**2 - 8*k + 48 What is the j'th term of -160, -332, -544, -802, -1112? -j**3 - 14*j**2 - 123*j - 22 What is the b'th term of 6, -3, -16, -33, -54, -79? -2*b**2 - 3*b + 11 What is the b'th term of 422, 429, 460, 527, 642, 817, 1064? 2*b**3 - 7*b + 427 What is the h'th term of -68, -115, -152, -173, -172? h**3 - h**2 - 51*h - 17 What is the d'th term of -1475, -2950, -4425, -5900? -1475*d What is the b'th term of -61, -104, -143, -172, -185, -176? b**3 - 4*b**2 - 38*b - 20 What is the z'th term of 1583, 1575, 1569, 1565, 1563, 1563? z**2 - 11*z + 1593 What is the p'th term of -4, -5, -6, -7, -8? -p - 3 What is the x'th term of 41, 43, 47, 53, 61, 71? x**2 - x + 41 What is the x'th term of -298, -303, -310, -319, -330, -343? -x**2 - 2*x - 295 What is the g'th term of 10, -43, -140, -287, -490, -755, -1088? -g**3 - 16*g**2 + 2*g + 25 What is the g'th term of -104, -486, -1114, -1982, -3084? g**3 - 129*g**2 - 2*g + 26 What is the i'th term of -676, -1364, -2056, -2752, -3452, -4156, -4864? -2*i**2 - 682*i + 8 What is the c'th term of 287, 283, 269, 239, 187? -c**3 + c**2 + 287 What is the u'th term of 297, 304, 323, 360, 421, 512, 639? u**3 + 296 What is the c'th term of -2300, -2301, -2302, -2303, -2304, -2305? -c - 2299 What is the a'th term of -1097, -1105, -1127, -1169, -1237? -a**3 - a**2 + 2*a - 1097 What is the w'th term of 0, -19, -54, -111, -196, -315, -474, -679? -w**3 - 2*w**2 - 6*w + 9 What is the p'th term of 3, -2, -7, -12, -17? -5*p + 8 What is the b'th term of -12, -8, -2, 6? b**2 + b - 14 What is the u'th term of -558, -562, -576, -606, -658, -738? -u**3 + u**2 - 558 What is the v'th term of -12, -52, -130, -264, -472, -772, -1182, -1720? -3*v**3 - v**2 - 16*v + 8 What is the v'th term of 23, 47, 105, 215, 395, 663, 1037, 1535? 3*v**3 - v**2 + 6*v + 15 What is the u'th term of -20, -25, -32, -41, -52, -65, -80? -u**2 - 2*u - 17 What is the x'th term of 191, 197, 215, 251, 311, 401, 527? x**3 - x + 191 What is the l'th term of 66, 65, 54, 27, -22? -l**3 + l**2 + 3*l + 63 What is the g'th term of 210, 212, 216, 222? g**2 - g + 210 What is the s'th term of 90, 108, 136, 180, 246, 340, 468, 636? s**3 - s**2 + 14*s + 76 What is the z'th term of -3586, -7117, -10638, -14143, -17626, -21081, -24502, -27883? z**3 - z**2 - 3535*z - 51 What is the b'th term of 370, 739, 1108, 1477? 369*b + 1 What is the h'th term of 23339, 23340, 23341, 23342? h + 23338 What is the m'th term of 107, 100, 93, 86, 79? -7*m + 114 What is the v'th term of 576, 575, 574, 573, 572, 571? -v + 577 What is the v'th term of -10, -13, -28, -61, -118, -205? -v**3 + 4*v - 13 What is the b'th term of 329, 330, 333, 338, 345, 354? b**2 - 2*b + 330 What is the i'th term of -536, -1077, -1620, -2165, -2712, -3261, -3812? -i**2 - 538*i + 3 What is the h'th term of -1, 8, 25, 56, 107, 184, 293? h**3 - 2*h**2 + 8*h - 8 What is the k'th term of -45, -86, -129, -174, -221, -270, -321? -k**2 - 38*k - 6 What is the s'th term of -530, -531, -532, -533, -534? -s - 529 What is the p'th term of -190, -240, -290, -340, -390, -440? -50*p - 140 What is the h'th term of -165, -153, -133, -105? 4*h**2 - 169 What is the c'th term of 73, 144, 215, 286, 357, 428? 71*c + 2 What is the n'th term of 19, -3, -71, -209, -441, -791, -1283, -1941? -4*n**3 + n**2 + 3*n + 19 What is the j'th term of 368, 727, 1088, 1451, 1816? j**2 + 356*j + 11 What is the o'th term of 405, 402, 407, 426, 465, 530, 627, 762? o**3 - 2*o**2 - 4*o + 410 What is the a'th term of 3690, 7383, 11076, 14769? 3693*a - 3 What is the y'th term of 89, 95, 99, 101, 101, 99, 95? -y**2 + 9*y + 81 What is the t'th term of 708, 709, 710, 711, 712, 713? t + 707 What is the p'th term of 85, 62, 23, -32, -103? -8*p**2 + p + 92 What is the x'th term of 2388, 2394, 2402, 2412, 2424? x**2 + 3*x + 2384 What is the h'th term of 4166, 4176, 4200, 4244, 4314? h**3 + h**2 + 4164 What is the c'th term of 6, -11, -38, -75, -122, -179, -246? -5*c**2 - 2*c + 13 What is the i'th term of -152, -299, -446, -593? -147*i - 5 What is the m'th term of 194, 202, 224, 266, 334, 434, 572? m**3 + m**2 - 2*m + 194 What is the o'th term of 48, 42, 36? -6*o + 54 What is the p'th term of -1338, -2678, -4020, -5364? -p**2 - 1337*p What is the q'th term of -172, -349, -528, -709, -892, -1077, -1264? -q**2 - 174*q + 3 What is the i'th term of -6, -19, -32? -13*i + 7 What is the l'th term of -34, -34, -30, -22? 2*l**2 - 6*l - 30 What is the a'th term of -74, -98, -122, -146? -24*a - 50 What is the i'th term of -45, -56, -75, -102? -4*i**2 + i - 42 What is the u'th term of 33, 117, 257, 453, 705? 28*u**2 + 5 What is the x'th term of -24, -220, -742, -1752, -3412, -5884? -27*x**3 - x**2 - 4*x + 8 What is the v'th term of -71, -81, -91, -101, -111, -121? -10*v - 61 What is the g'th term of 452, 902, 1352, 1802? 450*g + 2 What is the b'th term of -323, -643, -963? -320*b - 3 What is the u'th term of -102, -73, -54, -51, -70, -117? -u**3 + u**2 + 33*u - 135 What is the b'th term of 299, 300, 301, 302, 303? b + 298 What is the m'th term of 1101, 1107, 1113? 6*m + 1095 What is the y'th term of -1264, -1259, -1254? 5*y - 1269 What is the v'th term of -14, -11, -18, -41, -86? -v**3 + v**2 + 7*v - 21 What is the u'th term of 86, 176, 270, 368? 2*u**2 + 84*u What is the j'th term of 24, 38, 62, 96, 140, 194? 5*j**2 - j + 20 What is the s'th term of 0, -9, -24, -45, -72? -3*s**2 + 3 What is the x'th term of 12037, 12033, 12027, 12019? -x**2 - x + 12039 What is the a'th term of 44, 184, 418, 746, 1168? 47*a**2 - a - 2 What is the v'th term of -28, -49, -70, -91, -112, -133? -21*v - 7 What is the y'th term of -53, -55, -59, -65? -y**2 + y - 53 What is the j'th term of -1030, -1032, -1036, -1042, -1050? -j**2 + j - 1030 What is the r'th term of 444, 428, 388, 312, 188, 4, -252? -2*r**3 - 2*r + 448 What is the d'th term of 46, 92, 168, 286, 458? 2*d**3 + 3*d**2 + 23*d + 18 What is the p'th term of -152, -130, -86, -14, 92, 238, 430? p**3 + 5*p**2 - 158 What is the u'th term of -5004, -5002, -5000, -4998? 2*u - 5006 What is the c'th term of -5, -16, -29, -44? -c**2 - 8*c + 4 What is the m'th term of 523, 522, 521, 520, 519, 518? -m + 524 What is the a'th term of -40, -65, -110, -181, -284, -425? -a**3 - 4*a**2 - 6*a - 29 What is the m'th term of -11, -45, -79, -113? -34*m + 23 What is the s'th term of 16, 21, 38, 73, 132, 221, 346, 513? s**3 - 2*s + 17 What is the k'th term of -5, 9, 29, 61, 111, 185, 289? k**3 - 3*k**2 + 16*k - 19 What is the x'th term of -1088, -2185, -3282, -4379? -1097*x + 9 What is the c'th term of 93, 99, 111, 129, 153, 183? 3*c**2 - 3*c + 93 What is the n'th term of -4, -19, -30, -31, -16, 21, 86, 185? n**3 - 4*n**2 - 10*n + 9 What is the z'th term of 140, 1057, 3552, 8417, 16444, 28425, 45152, 67417? 132*z**3 - 3*z**2 + 2*z + 9 What is the p'th term of -1
{ "pile_set_name": "DM Mathematics" }
a multiple of 29? True Is 28025 a multiple of 50? False Does 5 divide 87471? False Is 395064 a multiple of 165? False Does 63 divide 678405? False Does 186 divide 1342997? False Does 10 divide 5679257? False Is 473 a factor of 560978? True Is 293886 a multiple of 42? False Does 196 divide 1033176? False Is 9791 a multiple of 4? False Is 12 a factor of 43042? False Is 735656 a multiple of 528? False Is 70 a factor of 13854540? True Is 11 a factor of 354293? False Is 334 a factor of 5868647? False Is 256938 a multiple of 33? True Is 13479 a multiple of 5? False Does 25 divide 189050? True Is 21 a factor of 467915? False Is 332695 a multiple of 115? True Does 21 divide 17112396? True Is 8 a factor of 27500? False Does 328 divide 552680? True Does 21 divide 192633? True Is 24 a factor of 793930? False Is 8 a factor of 328163? False Is 345287 a multiple of 17? True Does 27 divide 672244? False Does 48 divide 224585? False Does 242 divide 722854? True Does 10 divide 235405? False Is 13761 a multiple of 6? False Is 144544 a multiple of 277? False Is 208740 a multiple of 42? True Does 106 divide 267650? True Is 667055 a multiple of 241? False Is 72673 a multiple of 44? False Is 142 a factor of 1288508? True Does 605 divide 1111385? True Is 232896 a multiple of 48? True Does 101 divide 3515002? True Is 566150 a multiple of 2? True Does 26 divide 1166015? False Is 152988 a multiple of 22? True Is 519105 a multiple of 40? False Does 556 divide 234340? False Does 22 divide 17179? False Is 36 a factor of 1260424? False Is 57 a factor of 311647? False Does 7 divide 136745? True Does 153 divide 7501? False Is 46 a factor of 896954? True Is 2448320 a multiple of 160? True Does 23 divide 2403677? False Is 198 a factor of 40031? False Is 12 a factor of 88056? True Does 1212 divide 9413664? False Is 20 a factor of 1219304? False Is 84 a factor of 3451291? False Is 622439 a multiple of 337? True Is 1037 a factor of 5094583? False Is 501930 a multiple of 9? True Is 252904 a multiple of 42? False Is 5169591 a multiple of 279? True Is 7819654 a multiple of 421? True Is 4560576 a multiple of 6? True Does 15 divide 273850? False Is 348001 a multiple of 258? False Is 1032408 a multiple of 13? True Is 1942488 a multiple of 113? False Is 180 a factor of 23646117? False Is 5 a factor of 420540? True Is 14269 a multiple of 12? False Does 50 divide 2720550? True Is 26283 a multiple of 7? False Is 2710030 a multiple of 17? False Is 27196 a multiple of 122? False Is 2324724 a multiple of 80? False Is 805248 a multiple of 233? True Does 174 divide 454054? False Is 97 a factor of 293425? True Is 11595904 a multiple of 17? True Is 165178 a multiple of 66? False Is 139960 a multiple of 8? True Is 723346 a multiple of 99? False Does 8 divide 261413? False Does 44 divide 7793148? True Does 962 divide 2363634? True Is 400 a factor of 155546? False Is 19 a factor of 937099? True Is 353 a factor of 22016? False Is 101673 a multiple of 13? True Is 17916 a multiple of 6? True Is 1698640 a multiple of 64? False Does 82 divide 3320986? False Does 130 divide 228849? False Is 513956 a multiple of 233? False Does 70 divide 242130? True Does 319 divide 147378? True Does 10 divide 10970? True Does 68 divide 295795? False Is 14 a factor of 25121883? False Does 247 divide 101764? True Is 43 a factor of 30142? False Does 498 divide 26125476? False Is 10484488 a multiple of 8? True Is 64 a factor of 2425358? False Is 1489950 a multiple of 18? True Does 142 divide 100320? False Is 6901643 a multiple of 17? True Is 390 a factor of 606505? False Is 192 a factor of 541440? True Does 51 divide 121323? False Is 64 a factor of 1398353? False Is 288905 a multiple of 25? False Is 8211924 a multiple of 84? True Is 35 a factor of 1511? False Is 2120574 a multiple of 483? False Does 7 divide 5941815? False Does 12 divide 109531? False Does 20 divide 404860? True Does 9 divide 17847? True Is 45 a factor of 4177980? True Is 134086 a multiple of 85? False Is 512 a factor of 5875207? False Is 39 a factor of 110526? True Does 22 divide 29029198? True Is 573 a factor of 422473? False Is 239 a factor of 9905149? False Is 21211497 a multiple of 27? True Is 3480575 a multiple of 25? True Is 270871 a multiple of 31? False Is 373 a factor of 2419428? False Does 376 divide 233872? True Does 69 divide 3316079? False Does 13 divide 112918? True Is 5586510 a multiple of 234? False Is 36 a factor of 69393? False Is 3 a factor of 318971? False Does 2 divide 69841? False Does 8 divide 10072? True Does 56 divide 3475123? False Does 85 divide 78285? True Is 165 a factor of 610676? False Does 7 divide 509530? True Is 195 a factor of 8094876? False Is 365 a factor of 9960485? True Is 3 a factor of 2738454? True Is 1006898 a multiple of 374? False Is 264 a factor of 298584? True Does 235 divide 209855? True Does 320 divide 39360? True Does 56 divide 118473? False Does 456 divide 158232? True Is 12312015 a multiple of 841? False Is 238 a factor of 229432? True Is 180 a factor of 1568700? True Does 15 divide 4235790? True Does 153 divide 3215498? False Is 659223 a multiple of 267? True Does 1199 divide 9905869? False Is 564953 a multiple of 21? False Does 55 divide 106315? True Does 7 divide 219885? False Is 172 a factor of 164453? False Is 766000 a multiple of 20? True Does 391 divide 1389134? False Is 41448 a multiple of 24? True Is 35 a factor of 647990? True Does 36 divide 10278? False Is 4683248 a multiple of 18? False Does 798 divide 601211? False Is 238000 a multiple of 340? True Is 188619 even? False Is 25 a factor of 25582? False Does 27 divide 1004994? True Is 17 a factor of 944775? True Is 207973 a multiple of 14? False Is 323 a factor of 1252304? False Is 1201682 a multiple of 21? False Is 31 a factor of 3985298? True Is 11421507 a multiple of 16? False Is 2142432 a multiple of 344? True Does 9 divide 7992502? False Is 5568300 a multiple of 100? True Is 332 a factor of 174362? False Is 9358720 a multiple of 896? True Is 92 a factor of 3359288? True Does 8 divide 89352? True Is 5 a factor of 33230? True Is 207 a factor of 219627? True Does 56 divide 9651501? False Is 50 a factor of 1997508? False Does 155 divide 508710? True Is 188 a factor of 9481972? False Is 58660 a multiple of 140? True Is 3456390 a multiple of 654? True Is 102102 a multiple of 187? True Does 34 divide 3722840? False Does 32 divide 1146853? False Is 3141852 a multiple of 139? False Does 142 divide 1187339? False Is 69 a factor of 672392? False Is 13 a factor of 8272186? True Does 19 divide 234327? True Is 95 a factor of 24794? False Is 19811 a multiple of 255? False Is 16 a factor of 47296? True Is 54 a factor of 396900? True Is 2 a factor of 62534? True Is 4 a factor of 6262763? False Is 119 a factor of 554421? True Does 171 divide 150814? False Is 2633564 a multiple of 215? False Is 279 a factor of 106168? False Does 26 divide 3004950? True Is 19980 a multiple of 54? True Is 41 a factor of 4185403? True Is 135099 a multiple of 153? True Is 137412 a multiple of 14? False Is 414 a factor of 1864656? True Does 2 divide 57796? True Is 566 a factor of 54165? False Is 294 a factor of 1472940? True Is 1366490 a multiple of 32? False Does 28 divide 2533? False Is 49 a factor of 233534? True Is 168 a factor of 1963920? True Does 97 divide 104495? False Is 1059 a factor of 8635086? True Is 1415730 a multiple of 41? True Is 42 a factor of 1123634? False Does 43 divide 438088? False Does 82 divide 175229? False Does 36 divide 112968? True Is 5 a factor of 231471? False Is 558 a factor of 1948529? False Is 392043 a multiple of 3? True Is 11 a factor of 310574? True Is 546001 a multiple of 19? False Does 23 divide 6141? True Is 8 a factor of 60157? False Is 46656 a multiple of 243? True Does 213 divide 259221? True Is 88 a factor of 13640? True Does 31 divide 950057? True Is 69310 a multiple of 239? True Is 271 a factor of 5324608? True Does 99 divide 7427574? True Does 27 divide 58619? False Is 3990608 a multiple of 38? True Is 64376 a multiple of 52? True Is 5649 a multiple of 2? False Does 9 divide 127269? True Does 206 divide 1382966? False Does 234 divide 2070198? True Does 442 divide 1271634? True Is 184 a factor of 4416? True Does 127 divide 456628? F
{ "pile_set_name": "DM Mathematics" }
4 = g. Suppose -k = 4*y - 17, -3*k + 4*k - 9 = -f*y. What is the lowest common multiple of k and 2? 2 Let k be (-9)/(3/1) - -4. Calculate the lowest common multiple of 18 - (k + (-3)/1) and 18. 180 Suppose 7*g = 6*g + 1. Calculate the smallest common multiple of 14 and g. 14 Let i be (3856/2718)/((-4)/10). Let s = -4/453 + i. Let n = 3705 - 29679/8. Find the common denominator of s and n. 72 Let z = 13 + -5. Let j = -2 - -18. Suppose 3*x = -x + j. Calculate the lowest common multiple of x and z. 8 Let b(x) = 2*x**2 + 0*x - 2*x - 2*x. What is the smallest common multiple of 2 and b(-2)? 16 Let c be 2/(8/(-10))*-2. Let d(k) = -k**3 + 5*k**2 + 7. Calculate the lowest common multiple of 4 and d(c). 28 Suppose 0 = -2*v - 0 + 84. Calculate the common denominator of 1 - (-1 + (-267)/v) and -9/20. 140 Suppose -5*q - x - 4 = 0, 5*q = -2*x + 5*x + 12. Suppose q*i = -i + 14. What is the least common multiple of i and 18? 126 Suppose -5*y = -52 - 8. What is the common denominator of 113/18 and ((-4)/12)/(y/118)? 18 Let m(z) = -2*z**2 - 25*z + 8. What is the smallest common multiple of 58 and m(-12)? 580 Suppose q + 4*q = 40660. Let k be 1/3 + 390487/(-48). Let f = k + q. What is the common denominator of -85/14 and f? 112 Let s be 2 + -1 - (-10326)/119. Let u = 1344/17 - s. Let y = 93/7 + u. Calculate the common denominator of -15 and y. 7 Let y = 130 - 265/2. Let t be ((-846)/(-5))/(4/(-20)). Calculate the common denominator of (2/(-3))/((-24)/t) and y. 2 Suppose 0 = -5*p - 0*p + 40. What is the lowest common multiple of p and 10? 40 Let x = 2 + -5. Suppose 5*b + 2 = -18. Let q = x - b. Calculate the least common multiple of 2 and q. 2 Suppose 5*y = -10, -2*y + 12 = o - 4*y. What is the smallest common multiple of 16 and o? 16 Calculate the smallest common multiple of 1*(-1 + 2) - -1 and ((-8)/(-4) + -1)*3*1. 6 Suppose -3*v + 12 = -0*v. Let k = 0 + v. What is the common denominator of 97/12 and (1/5)/(k/(-186))? 60 Let h = -13375 + 200551/15. Calculate the common denominator of h and (-620)/(-14) - (-6)/(-21). 15 Let m be (0 - 2 - 0)*-1. Suppose -2 = -q, m*j + 6 = -3*q - 6. What is the smallest common multiple of 16 and 1 - (2 + -4 + j)? 48 Let n = -72 + 92. Calculate the least common multiple of n and 12 + 1/((-1)/2). 20 Let t = 4 + -3. Suppose 0 = -p - 3 - t. Calculate the common denominator of -39/22 and (-1)/p + 283/(-36). 198 Let h = 13 + -6. What is the smallest common multiple of h and 20? 140 Let y(t) = t**3 + 6*t**2 + t + 1. Let d be y(-5). Suppose -29 - d = -5*r. What is the smallest common multiple of r and 9? 90 Let t(v) = -v**2 - 2*v + 3. Let q(c) = -c**3 + 4*c**2 + 8*c - 7. Calculate the smallest common multiple of t(0) and q(5). 24 Suppose 0 = -2*s + 6. Suppose -4*r + 25 = -3*a + 6, 3*a = -s*r - 33. Let h = a + 29. Calculate the lowest common multiple of h and 18. 180 Let w be ((-5)/3)/((-13)/39). Suppose -w*n + 2*n = -9. Calculate the smallest common multiple of 7 and n. 21 Find the common denominator of 109/6 and ((-5)/(-15))/((-30)/(-909)). 30 Let h = -3 - -13. What is the smallest common multiple of h and 10? 10 Let i = 266193622 - -362458348. Let m = i + -10303605792069/16390. Let h = m + 2/745. Find the common denominator of -35/2 and h. 22 Let x be (18/(-20))/(10/61370). Let u = x + 5518. Find the common denominator of -58/5 and u. 10 Let a = 11 - 5. Suppose 10*l = 8*l + 10. What is the lowest common multiple of a and l? 30 Suppose 0*g = 2*g. Suppose g = -3*w - w. Suppose k - 6 - 14 = w. Calculate the smallest common multiple of k and 20. 20 Let t = 69175792823/12293711066 + 3760/1725191. Let b = t + 7/509. Find the common denominator of 87/4 and b. 28 Let d = -907/120 - -235/24. Find the common denominator of 71/10 and d. 30 Let r be (2/12)/(1/6). Let n be (-1)/r*(-114057)/10692. Let q = n + -1/1188. Find the common denominator of 48 and q. 3 Let h = -26 + 53. Calculate the least common multiple of h and 10. 270 Let g = 314/93 - -3415/2046. Find the common denominator of (-153)/(-255) + ((-43)/(-80))/(-1) and g. 176 Let j be 13149/3894 - (-3)/(-2). Let y = 18/59 + j. Find the common denominator of 61/3 and y. 33 Let v = 38 + -26. What is the lowest common multiple of 16 and v? 48 Suppose 3*j + u = -2*j + 21, 2*j + 4*u - 12 = 0. Suppose j*y = -y + 55. Suppose 0 = 15*z + 6 - 51. What is the lowest common multiple of z and y? 33 Suppose 4*o = -4*z + 47 + 45, 0 = o - 4*z - 3. What is the common denominator of o and 28/20 + 12/2? 5 Let s be (50233/(-3))/(10/3). Let b = -5018 - s. What is the common denominator of 99/14 and b? 70 Let u = 28 - 4. Let k = -52/101 - -5683/1818. Find the common denominator of (-2*1)/(u/86) and k. 18 Let j = 10 - -16. Suppose 0 = -4*k - 10 - j. Calculate the common denominator of -62/9 and k. 9 Suppose x = -5, f = -f - 5*x - 385. What is the common denominator of (-689)/f - 2/(-9) and 25/14? 140 Let d = -53988 - -324851/6. Let b = d - 153. Find the common denominator of 121/12 and b. 12 Suppose a + 5*n - 2 = -33, 4*a - 3*n + 9 = 0. Let y = a - -4. Find the common denominator of (55/y)/(2 - 0) and 4/5. 20 What is the least common multiple of 6/(-18) - (-343)/21 and 2/(-8) + (-41)/(-4)? 80 Calculate the common denominator of -23/11 and -1*5/(-2)*4/11. 11 Calculate the common denominator of ((-118)/12)/((-20)/(-15)) and 57/4. 8 Let v(m) = -m**2 + 7*m - 6. Let u be (-19)/(-4) - (-2)/8. What is the least common multiple of v(u) and 4? 4 What is the smallest common multiple of -16*(-8)/((-2)/(-2)) and 4? 128 Let m(f) = f**3 + 5*f**2 + 6*f + 5. Let u be m(-5). What is the common denominator of -9/14 and ((-18)/u)/((-16)/10)? 140 Let s(r) = -11*r**2 + 2*r + 1. Let l be s(-1). What is the smallest common multiple of (-195)/l - 1/4 and 14? 112 Suppose i + 6 = -2*z - 2, 2*i + 5*z = -14. Let y = -31 - -45. What is the lowest common multiple of 3/i - 130/(-8) and y? 112 Let p(c) = -22*c**3 - c - 1. Let a(o) = 2*o**2 + 12*o - 1. Let s be a(-6). Let b = -12 + 34. Calculate the smallest common multiple of p(s) and b. 22 Suppose -15 - 5 = -4*p. Calculate the smallest common multiple of p and 57. 285 Let i = -36 + 28. What is the common denominator of -1/7 and -1 - 3 - (-82)/i? 28 Let y = 3312 - 39863/12. What is the common denominator of y and 83/10? 60 Suppose -5*n + 20 = -30. What is the smallest common multiple of n and 30? 30 Let s = 5 - 5. Suppose s*r = 4*r - 4. Suppose -5*a - r = -3*h + 10, 5*a = 5*h - 35. Calculate the least common multiple of 18 and h. 36 Let n = -1 + -17. Calculate the common denominator of 15/n*(-7)/5 and 2*3/((-84)/(-62)). 42 Find the common denominator of 306/(-48)*40/18 and 53/30. 30 Let m be -1 - (-3 - -4) - 3. What is the common denominator of (26/m)/(11/10) and -21? 11 Calculate the common denominator of -37/2 and 6/(-4)*(-33)/9. 2 Let b(q) = -10*q - 87. What is the least common multiple of 6 and b(-9)? 6 Suppose 0 = -2*i + 563 - 213. Let u be (1522/10)/(20/i). Let r = u + -1346. Calculate the common denominator of -53/10 and r. 20 Let i = -51 + 69. Calculate the smallest common multiple of i and 6. 18 Let r be 0/(2 - (2 + 1)). Suppose 3*j + 8163 = -r*j. Let k = -38077/14 - j. What is the common denominator of -107/22 and k? 154 Let p = -15 - -21. Let m be 69/15 + p/15. Suppose 2*l = -g, -m = 5*g + 15. What is the lowest common multiple of 20 and l? 20 Let t = -1763/238 - -183/17. Suppose s + 4*s = 10. Find the common denominator of s/3 - (-217)/(-60) and t. 140 What is the least common multiple of 8 and ((-1)/2)/(59/12 + -5)? 24 What is the common denominator of -31/8 and (-621)/(-60) - 6/(-15)? 8 Let n = -3941/102 - -1028/17. Let g = 11/57 + 313/19. What is the common denominator of g and n? 6 Let q = -100/23 - -1499/276. Find the common denominator of 342/416*(-316)/237 and q. 156 Suppose -p + 2 + 9 = 0. Suppose -j + 6 = -4. Calculate the lowest common multiple of j and p. 110 Let m = -11215543103/590 + 19009386. Let r = 3/295 - m. What is the common denominator of 61/14 and r? 70 Calculate the common denominator of -53/30 and (332/18)/(24/9). 60 Suppose 2*u - 31 = z, 0 = 4*u - z + 3*z - 82. Suppose 7 + 5 = 3*b. What is the smallest common multiple of b and u? 36 Let l = -3 - -12. Calculate the lowest common multiple of 7 and 5 - (l/3 + -5). 7 Let u(m) = 31*m**2. Let x be u(1). Let w =
{ "pile_set_name": "DM Mathematics" }
p Let a be (-2)/(-4)*1/3. Let o = 13 + -10. Suppose 3*f + o = 3*x, -3*f + 5*x = f + 6. Which is bigger: f or a? f Let l(j) = j**3 + 18*j**2 + 16*j - 22. Let s be l(-17). Is -8 smaller than s? True Let m(z) = 5*z + 21. Let c(h) = -h - 5. Let x(q) = 18*c(q) + 4*m(q). Let d be x(4). Let a be 3/(-3) - (-3 + d). Which is bigger: a or -2? a Let x = 3428149/5032635 + -19/10685. Let g be ((-2)/(-3))/((-314)/(-6)). Let a = x - g. Is -3 at least a? False Suppose 3*g = 2*h - 15, -5*g = -5*h - g + 20. Suppose -4*p + 2*m + h = 8, -m = -3*p - 5. Let n = 0 - 0. Which is bigger: n or p? n Let f = 10 + -10. Let p = 1/32 + -9/32. Which is bigger: p or f? f Let x = 4/61 - -102/305. Let l = -4 - -6. Let f = -1 + l. Which is smaller: x or f? x Let d be ((-3)/(-2))/(22/4). Which is greater: 1 or d? 1 Suppose -g + 3*r = -16, g = 6*g + r. Let h = 106/7 + -629/42. Is h not equal to g? True Let d(p) = -6 - p + 4*p - 4*p + 0. Let j be d(-4). Which is greater: j or -1/3? -1/3 Suppose 22*s = 17*s - l + 101, -2*l = -s + 18. Is s smaller than 19? False Suppose 0 = -0*v + v - 3*o + 9, v - 12 = -4*o. Let d be (v - (-3)/(-90))*-4. Which is greater: d or -1? d Let m be (4 + -4)/(0 + -1). Suppose 0 = 2*o - 3*g, 0 = -m*o + 4*o + 2*g - 32. Let z = -8 + o. Is z equal to 0? False Let w = -76 - -378/5. Suppose 0 = -6*o + 2*o + 8. Suppose -m + 1 = -o, 5*m - 15 = s. Which is smaller: w or s? w Suppose 4*u + 4*h + 49 = -h, 4*u - 5*h = -39. Suppose 0*j + 48 = -4*j. Which is smaller: j or u? j Let v(r) = -r**2 - 7*r - 5. Let p be v(-6). Let m be (-1)/18 - 4/(-18). Which is smaller: m or p? m Let n(g) = 7*g**2 + 6 - g**3 + 2*g + 0*g - 8*g. Let a be n(6). Let r = 150 - 144. Is a bigger than r? False Let l be (4/15)/(4/6). Let j(s) = s**2 - 6*s + 4. Let w be j(4). Let o = 3 + w. Are l and o non-equal? True Let v(z) = -z**2 - z + 1. Let b(i) = i**3 - 6*i**2 + 6*i - 4. Let r be b(5). Let c = -1 + r. Let j be v(c). Which is smaller: -2/17 or j? -2/17 Let o = 0.19 + 0.71. Let d = o + -0.93. Which is smaller: d or -2/5? -2/5 Let c = 29 + -29.3. Let u(v) = -v**3 + 4*v**2 - v + 3. Let n be u(4). Which is smaller: c or n? n Let a be -5 - (3 - 5) - (-315)/111. Which is bigger: 0 or a? 0 Let v = 13/55 - 3491/110. Let c = 32 + v. Which is smaller: 2 or c? c Let d be (3*-1)/((-30)/(-20)) - -3. Is d smaller than -4/35? False Let l(n) = -12*n - 4. Let c be l(6). Let t = -110608/5 - -22046. Let f = c - t. Which is greater: f or 3? 3 Let a be 1/3 + 1/(-3). Suppose a = -i + 2*i + 1. Which is smaller: -2 or i? -2 Suppose -2*a - 2 = -3*a. Suppose 3*l = l - a. Which is smaller: l or 1/14? l Let i be ((-1)/(-3))/((-2)/114). Is i > -17? False Suppose -16 = -k - 5*y, 2*y + 0*y = -k + 7. Let h be -4*(-105)/(-273)*(-3)/(-20). Is k smaller than h? False Let h be -1 - -2 - (-3)/(-3). Suppose 2*z - 4 = -h*z. Let g(x) = -x + 1. Let b be g(z). Which is smaller: b or -1/4? b Suppose 4*a = 4*g - 12, -7 = -0*a - 3*a - g. Let d = -7 + a. Is d greater than -8? True Suppose -12 + 2 = 5*x. Let o = -7 - -12. Suppose -4*f = -o*y - 2*f - 5, 5*f + 3 = -3*y. Do x and y have the same value? False Suppose 4*y + 22 = 5*k - 3*k, -3*y + 3*k = 24. Let o = 1 + y. Which is bigger: 1/4 or o? 1/4 Let i = 83/30 + -81/10. Is -6 greater than i? False Suppose -5*q - 5*z - 5 - 15 = 0, -2*q + 3*z + 12 = 0. Suppose q = 3*a - 0*a. Let y be (-14)/6 - (-1 + -1). Which is smaller: a or y? y Suppose 0 = 4*l + 35 + 13. Do -12 and l have the same value? True Let v(c) = c**3 + 6*c**2 - 6*c + 8. Let l be v(-7). Which is smaller: l or -4/13? -4/13 Suppose -4*u + 19 = -1. Suppose 0 = -u*y + 5*s - 5, s + 9 = -2*y - 2*y. Let i be (-1)/2*(y - -2). Are i and 0 nonequal? False Suppose 2*u + 3*u = 0, 15 = -f + 3*u. Suppose -t = -30 + 45. Is t not equal to f? False Suppose -8*f = -4*f + 4. Are f and -2 equal? False Suppose f + 2*f - 4*z = 19, -9 = -f + 2*z. Let i be 2/(-8) + f/12. Let b be -1*2/4*0. Which is smaller: i or b? i Let s(u) = 3*u**2 + 6*u + 12. Let q be s(-2). Is q greater than 15? False Let z = 5/12 - -1/3. Let r be (-2 - 2/(-1))/2. Is r greater than or equal to z? False Let p(c) = -c**3 - 3*c**2 + 3*c. Let s be p(-4). Let v be ((-1)/5)/(s/(-10)). Are v and 1/3 equal? False Let m = 74 + -74. Is m > 1? False Let z(i) = -i**2 + 7*i - 10. Let l be z(3). Let s be (-4)/(-6) + 16/3. Suppose -4 - s = -5*y. Is y smaller than l? False Let a = 9 - 8. Let m be a + -1 - (-3)/(-18). Let b = -8 - -23/3. Is b > m? False Let i = 2 + -2.1. Let j = -326 - -324. Which is smaller: i or j? j Let h(f) be the first derivative of -f**4/4 + 4*f**3/3 - 3*f**2/2 + 4*f - 5. Let z be h(3). Does 4 = z? True Let u be (-1)/(-4)*(-32)/156. Are u and 0 non-equal? True Suppose 3*u + 9 = -3*i - 6, 0 = -2*i + 5*u + 25. Suppose -5*n - 7 - 5 = -g, 4*g + 3*n + 44 = i. Is g less than or equal to -7? True Let k = 55/6 + -1607/174. Is -1 <= k? True Suppose 2*s - 5*s = -21. Is s < 8? True Let s = -87 - -72. Which is smaller: -78/5 or s? -78/5 Let o(a) = -a**2 + 5*a + 7. Let k be o(5). Let j = -8 + k. Let v be 2*j + 0 + -3. Which is smaller: v or -4? v Let q = 79 + -74. Which is greater: q or 1/5? q Let x = 49 + -67. Is x smaller than -18? False Let i(j) = j**2 + 11*j - 2. Let m be (12/(-8))/(2/16). Let z be i(m). Which is smaller: z or 9? 9 Let z = 3 + 2. Let n be z/(15/(-6))*-1. Suppose -2*b - 8 = 4*a, -3*a - 8 = -0*a + n*b. Does -4/3 = a? False Let i be -2 - -5 - 76/8. Let s = i - -8. Which is greater: s or 3? 3 Let o be (4 + -6)/(4/(-3)). Suppose -5 = 2*r - c - 0, -3*r - 40 = 5*c. Let l be (-34)/(-10) - (-2)/r. Which is smaller: o or l? o Let n be (-1 - 6 - 2) + 2. Let l(j) = j**2 - 3 + j + 4*j + 2*j. Let p be l(n). Which is smaller: -3/2 or p? p Let s be ((-2)/2)/(2/(-6)). Suppose -s*b + 15 = 3*a, -a + 20 = 3*a. Let p be b - ((-6)/10 + 1). Is -1 not equal to p? True Let p = 11 - 9. Suppose 5*y + 3 = -3*x, 0 = y - 3*y - 5*x - 5. Let b = y + p. Is 6/7 != b? True Let m(z) = z**2 - 3*z - 4. Let v = 3 - -2. Suppose v*d - 28 = -8. Let r be m(d). Is r >= 1? False Let x = 5233/1455 + 1/291. Are 5 and x unequal? True Suppose 0 = -4*i + 6*i + 5*p + 5, -19 = 4*i + p. Let y be -2 - (1 - i/(-2)). Let w(s) = s - 9. Let z be w(9). Which is bigger: z or y? z Suppose -4*m - 10 = -2*a + 10, 2*a = -m - 5. Suppose 3*t - p = -4*p - 6, 4*t + 3*p + 6 = a. Let n be (-2)/(-7) - 15/(-21). Which is smaller: t or n? t Let s = -11 + 23. Let j = s - 12.2. Which is smaller: -1 or j? -1 Let d be 4/24*-2*3. Is 1 greater than d? True Suppose 0 = -2*n + 3*n - 5. Suppose 22 - 3 = -n*r + 3*p, p = -2. Which is greater: -3 or r? -3 Let q(f) = -5*f**2 - 3*f - 6. Let t(g) = 2*g**2 + g + 2. Let c(u) = 3*q(u) + 8*t(u). Let b be c(-5). Let s = b - 19. Which is smaller: s or 8? 8 Let r = 489/7 - 70. Let u(m) = -2*m + 8. Let g be u(4). Is g >= r? True Let w be (-8)/60 - (-7)/15. Is w greater than or equal to -3? True Suppose -4*t + 6 = -2*t. Let v = -6 - -3. Let h = t + v. Which is smaller: h or -1? -1 Let s = -136 - -1359/10. Is s > -2/5? True Let q = -3.6 + 4. Let w = -0.5 + q. Which is smaller: w or 1? w Let u = 0.3 - 0.2. Let j be (-66)/364*2 - -1. Let k = -12/13 + j. Which is smaller: k or u? k Let h = 178 + -94. Let p = -171/2 + h. Which is bigger: 0 or p? 0 Suppose q = g + 6, -q + 7 = q + 3*g. Suppose -6 = -q*v + 24. Let p(s) = s**3 - 7*s**2 + 7*s - 4. Let l be p(v). Is l >= 2? True Let t(x) = x**2 - x. Let q be t(0). Let k be (-1524)/54 - 4/(-18). Let w be ((-2)/12)/((-7)/k). Is w at least as big as q? False Let p = 0.04 - 10.04. Which is smaller: 0.2 or p? p Let f be (-14)/(-63) - 61/(-9). Is 6 bigger than f? False Let v(q) = -q - 9. Suppose 2*k - 6 = 0, -4*d - 17 = 3*k + 10. Let t be v(d). Which is smaller: -6/7 or t? -6/7 Let k be 86/(-18) - 4/18. Let j be (2 + 0)*k/2. Let u = j - -3. Is u at most 1? True Suppose -7*x = -2*x + 5*w - 410, 5*w - 326 = -4*x. Let u = 39 - x. Let s be u/(-20) + (-1)/4. Is 3 not equal to s? True Let f be (-20)/77 + 16/(-56). Let p(n) = -n**2 - 2*n + 1. Let o be p(-3). Is f equal to o? False Suppose -4*a + 36 = 4*h, 3*a - 21 = 2*a - 5*h. Let m be ((-4)/(-6))/(12/99). Let j = m - a. Which is greater: j or -2? j Let j = -89 - -30. Is -1 at least as big as j? True Let t be (-36)/(-60) + 44/10. Is 6 at least t? True Let a be (-9)/3*(-7)/3. Let n(l) be the first derivative of l**2/2 - 5*l - 2. Let p
{ "pile_set_name": "DM Mathematics" }
1/4, 17? p Let g be (-4)/(-32) - 2/8. Let z = 3422 - 3422.5. What is the second biggest value in z, -1/7, g? -1/7 Let z = -15480 + 15479.92. What is the biggest value in -4, z, -3, -10, 4? 4 Let t = -157/188 - -4/47. Which is the fourth smallest value? (a) 39 (b) t (c) -2 (d) 2/9 a Let y be (374/77)/((-24)/70). Let d = 29/2 + y. Let a = -23 - -28. What is the biggest value in a, d, 0.2, 0.5? a Let o be ((-435)/54 + 6)/(31/93). Which is the fourth smallest value? (a) 4 (b) o (c) 0.2 (d) 2/5 a Let v = -17750 - -17750.2. What is the second smallest value in v, -0.007, -0.1, -3.1? -0.1 Let r = -0.03475 + 7.03475. What is the smallest value in 0, r, -2/9, -0.12, -5? -5 Let g = 118 - 226. Let o = -113 - g. What is the second biggest value in 1/7, 4, o? 1/7 Let q = 78323/5 - 15665. What is the third biggest value in 21, 5, q, 3/8? 3/8 Let j = -141 - -144. Let x be ((-10)/(-45)*1)/(j/18). What is the second smallest value in x, 0.2, -3/5, -3? -3/5 Let h be -13 - 2 - -7 - (-4 - 1). Let t = 4.15 + 1.85. What is the biggest value in 0.09, h, t, 4? t Let r be (1207/51 - 24) + (3/(-3) - 12/(-8)). Let k = -2 + 1. Let g be (k/5)/((-2)/(-5)). Which is the third biggest value? (a) g (b) -7 (c) r b Let n be (-2)/5 - (-34)/60. Let w = 2/5 + -1/15. Let z = 1162.67 - 1157.67. Which is the fourth smallest value? (a) 1 (b) w (c) z (d) n c Let u be 17/(-4) + 3/12. Let o = 52 + -27. Let l = 25.2 - o. What is the biggest value in 2, l, 0.1, u? 2 Suppose 0 = 4*n + s + 22422, -2460 = 4*n + 2*s + 19956. What is the second smallest value in 0.2, n, 1/3? 0.2 Let o = 401 - 383. Suppose 26*x = 23*x - o. Which is the smallest value? (a) x (b) 0.1 (c) -0.8 a Let i = -324.44 + 333. Let y = i - 0.56. Let o = 2/75 - 79/150. What is the fourth biggest value in y, 0.5, -2/9, o? o Let r = 1/206 - -403/1854. Let t = r + 1/9. Let v = -43.8 - -44. What is the smallest value in -2/21, -2, v, t? -2 Let i = -104.6581 + 0.6581. Let q = -57 + 62. Which is the biggest value? (a) i (b) q (c) -0.5 b Suppose -3 = 3*l - 405. Let j be l/(-1005) + (-232)/285. What is the third smallest value in j, 0.4, -4? 0.4 Let w = -3.5 - -3. Let p = -32.71 + 32.71. What is the third biggest value in -43, p, w, 0.1? w Let c = 0.48477 - -0.14523. What is the second biggest value in -0.4, c, -0.1? -0.1 Let s = 9469/2 + -17917/4. Which is the smallest value? (a) s (b) 5 (c) 0.3 c Let i be -15*(-75)/(-45) - -29. Which is the second smallest value? (a) -0.32 (b) 3 (c) i (d) 1/10 (e) 0.2 d Let q = 0.11 + -6.11. Let d be ((35/(-84))/(90/162))/((-126)/16). Which is the second smallest value? (a) d (b) -11 (c) q c Let g = -2443 - -2422. What is the biggest value in 4, -0.7, 3, -3/7, g? 4 Let g = 3098/21 + -443/3. Which is the second biggest value? (a) g (b) -2 (c) 0.01 (d) -15 a Let x(q) = q**2 - 15*q + 14. Let s be 19 + (-1)/3*15. Let v be x(s). Which is the fourth smallest value? (a) 1/2 (b) -0.1 (c) v (d) 0.3 a Suppose 0 = -6*r + 2*r. Let q = -283/2 + 140. Let z = -275 - -271. What is the second smallest value in r, z, q? q Let h = -32.7 + 34. Let b = -3.6 - h. Let f = b + 5.4. What is the second biggest value in -1/3, -2/13, f? -2/13 Let m = -22146 + 22151. Which is the smallest value? (a) -1/7 (b) 4/7 (c) -2 (d) m (e) 412 c Let f = -20 - -38. Suppose 2*o - 1 = 2*i - o, -4*i = -2*o - f. Suppose i*a - 27 = -2*a. What is the smallest value in -1, a, -2/9? -1 Let q = 0.22 - 0.32. Let t = -3.5229 - 1.4771. What is the second biggest value in q, t, 1.29? q Suppose 15*k - 18*k + 6 = 0. Suppose -5*s + 10 = -5*j, -5*s = -k*j + 6*j - 10. Which is the second biggest value? (a) j (b) 2/9 (c) -0.5 a Let k be (-28)/(-13) + (-70)/455. Suppose -n = -k*i - 20, i - 101*n + 1 = -105*n. Which is the third biggest value? (a) i (b) 5 (c) 2/11 a Let n be (-2)/(1 - -1)*3474/2702. Which is the third smallest value? (a) n (b) -1/4 (c) 2/21 (d) 4/3 (e) -0.04 e Let q = -267 + 802/3. Let g = -0.806 - 0.194. Which is the biggest value? (a) 6 (b) 2/9 (c) g (d) q a Let f(k) = -k**3 + 19*k**2 - k + 20. Let s be f(18). Let z = -1633/5 + s. What is the second biggest value in z, -2/37, -5? z Let q = -246.3 + 235. Let l = -3122 - -3133.3. Let u = l + q. Which is the biggest value? (a) u (b) -2 (c) 0.04 c Let y = -12311.1 + 12311. Which is the third biggest value? (a) y (b) -4/7 (c) 1.5 (d) -2 b Let v be -158*4/9*1. Let t be (-124)/2 + 264/(-33). Let h = t - v. Which is the third smallest value? (a) -3 (b) h (c) 8 c Suppose 3*z + 16 = -z. Let s = -25.8 + 26. Let k be 1/3*4/20*-3. Which is the smallest value? (a) s (b) k (c) z c Let k = 0.0606 + -578.0606. Let j = k - -575. What is the third biggest value in -4/5, j, -11? -11 Suppose i + 3*t + 47 = 46, 4*i - 2*t = 10. Which is the biggest value? (a) -3 (b) 13 (c) -2 (d) i b Let c(q) = 3*q**3 + 14*q**2 + 9*q + 5. Let k be c(-4). Let w be (k/(-2) - 1)/(246/410). What is the fourth biggest value in -0.4, w, 2, 15? w Let j = -6674 - -6664. Which is the biggest value? (a) 0.3 (b) 4 (c) j (d) -4/9 b Suppose 2*p + 16 = 6. Let m be (-12)/16 + (-148)/(-208) + (-108)/234. Which is the biggest value? (a) 0.07 (b) m (c) p (d) -0.8 a Let a = -16606 + 16594.5. What is the fifth biggest value in -0.2, 1, -5, a, 3/4? a Let w = 775 + -534. Let x = w - 242.45. What is the biggest value in 5, -5, x? 5 Let o be (17/102)/((3/21)/((-18)/(-7))). What is the second smallest value in 27/2, -2, 7, o? o Let x = 53.12 + -1.12. Let q = -139 + x. Let o = -88 - q. Which is the smallest value? (a) 1 (b) 7/3 (c) o c Let v = -28 + 16. Let w = -0.07 + -1.63. Let n = w + 3.7. Which is the third smallest value? (a) -1/4 (b) v (c) n c Let f = 74 + -72.9494. Let q = f + -0.0506. Which is the second biggest value? (a) -0.5 (b) -23 (c) q a Let r = -17 - -18. Let m = -0.6 + r. Suppose -204 = 4*k - 224. Which is the biggest value? (a) m (b) -0.4 (c) 0 (d) k d Let j(y) = -9*y + 109. Let u be j(12). Let g be (-12)/30 + 6/(-10). Which is the third smallest value? (a) -25 (b) g (c) u c Let r = 3539/2 + -1703. Let p = -67 + r. Let d be (-3)/(-30)*(-5)/2. Which is the biggest value? (a) p (b) d (c) 0.4 c Let q = 0.5 - 0.2. Let m(p) = -p**2 - 22*p + 172. Let l be m(-28). Which is the biggest value? (a) l (b) 3/5 (c) q a Let u be (-5)/(15/(-117))*-2*(-60)/(-72). What is the biggest value in -1/5, u, 6, 2/5? 6 Let l = 666.023 - 666. What is the fourth biggest value in 0.5, -0.3, 0, l, 2? 0 Let y(c) = -3*c**2 - 2*c**3 + 12*c**2 + 10*c + c**2 + 7*c**2 + 3. Let b be y(9). What is the biggest value in b, 0.04, -4, -1/7? b Let x be ((-1)/7*(-504)/360)/(-2 + 1). What is the second biggest value in 307, 0.5, x? 0.5 Let i = 4 + 0. Let x = -23810 - -94005/4. Let p = x - -308. What is the second biggest value in i, -4/9, p, 5? i Let f = -5.0095 - 0.1425. Let t = 0.152 + f. Which is the fourth biggest value? (a) t (b) 3/5 (c) 4 (d) 5 a Let u = 0.144 + -0.644. Let n = 2 - 3.4. Let j = n + 6.4. Which is the fourth biggest value? (a) u (b) j (c) 2/9 (d) -1 d Let n = -0.834 + 1.034. Which is the fourth smallest value? (a) 0.43 (b) -2 (c) 0.4 (d) n (e) -0.3 c Let k = 2391 + -9553/4. Let y be (8/(-14))/(33/(-308)*8). What is the third smallest value in 3, k, y, 1? k Let f be 6313/11505 - (-2)/39. What is the third biggest value in 12, f, 75, 4? 4 Let v be -1*(-14)/(-8) - (-4464)/1984. Which is the smallest value? (a) v (b) -3/20 (c) 5 (d) 4/3 b Let h = 86 + -118. Let p = 2.802 + 0.198. Which is the biggest value? (a) -3/4 (b) -0.4 (c) p (d) h c Let o = -0.1917 + 0.1917. Which is the second smallest value? (a) 2/11 (b) o (c) -3.9 (d) -5 c Let f = 5.096 + 0.004. Let k = 4.54 - f. Let w = 0.96 + k. Which is the fourth smallest value? (a) 0 (b) w (c) 0.5 (d) -0.5 c Let p = -766 + 768. Let r = 5.06 + -0.26. Let k = r + -6.7. Which is the fourth biggest value? (a) p (b) k (c) -0.4 (d) 2/5 b Suppose 0 = -5473*n + 5480*n - 28. What is the third smallest value in 2/3, 114, -0.1, n? n Let r = 3.17 + -0.78. Let g = -3 + r. Let q = g + 0.41. What is the fourth smallest value in 0.5, q, 1, -2? 1 Let b = -629 - -633. What is the second biggest value in 5, b, 224? 5 Let y = -15276 + 15224. Which is the second biggest value? (a) -2 (b) 5 (c)
{ "pile_set_name": "DM Mathematics" }
)/s - (-15)/9. Which is greater: 7/13 or l? l Let i be ((-46)/(-3))/(2/(-6)) + 3. Let m = 15 + i. Which is bigger: m or -30? m Suppose 0 = s - 2*s + 30. Let d be 3/s*-2*2. Suppose -4*n = -2*n. Which is greater: n or d? n Let d be 36/(-10)*(-110)/(-33). Let m be d/8*2/(-6). Which is smaller: 10 or m? m Let j = 13 + -67/5. Let q be ((-5)/2)/(-5)*-12. Let b be ((-3)/9)/((-1)/q). Which is greater: b or j? j Suppose 0 = -4*o - 3*v + 248, 5*v - 75 = -4*o + 181. Which is smaller: o or 58? 58 Let j(t) = -t**3 - 6*t**2 + 4*t + 7. Let b be j(-6). Let o = b - -48. Let p = o + -38. Is -6 equal to p? False Suppose -4*w + 1 + 4 = t, -2*w + 5 = t. Suppose w = -4*s + 15 + 17. Let j be (14/(-4))/(0 - 2/4). Is j > s? False Let j(q) = q**2 + 1. Let x(i) = 6*i**2 + 2*i + 3. Let t(z) = -5*j(z) + x(z). Let o be t(-4). Let v be (-1)/2*o - -3. Are -10/7 and v unequal? True Let z be 1/2*(0/(-4))/2. Which is smaller: 1/23 or z? z Suppose 0*c - 3*f - 21 = -c, -5*c - 2*f = -105. Suppose -k - 4 - c = 4*y, -5*k - 2*y - 35 = 0. Is k >= -5? True Let i be 3/(-21)*1 - 122112/(-126). Which is smaller: i or 970? i Let y be (-3)/2*16/(-4). Let v = y + 1. Suppose -5*q - 16 = -3*w, w + 3*w = q - v. Which is bigger: -1 or w? -1 Let m = 63.2 - 63. Which is smaller: m or -71? -71 Let l = 681023/53 - 12849. Is l < 0? False Let b = 1097 - 1097.08. Which is bigger: 18 or b? 18 Let g(h) = h**3 + 8*h**2 + 17*h + 70. Let m be g(-7). Suppose -o = -5*o - 76. Which is greater: o or m? m Let i be (1/4)/((-18)/16). Let n be ((-57)/(-45) - 1)/(132/290). Let q = i + n. Which is smaller: -1 or q? -1 Suppose -2*z + g = -5, 4*g + g = 5*z - 5. Let q(s) = -2*s - 9. Let o be q(-7). Let c = z - o. Are 0 and c equal? False Let v be ((-33)/2)/(15/(-20)). Let a = 13 - v. Let h = -8 - a. Is 0 > h? False Let g = 15341/890 - -504/89. Let r = g - 23. Do r and 0.1 have the same value? False Let t = 198/37 - 2/111. Suppose 3*x + 19 = 31. Which is greater: t or x? t Let q = 108 + -78. Let n be 15/q*10/29. Do n and -1 have the same value? False Let w = -11 - -34. Let x = w + -23.1. Do x and 0 have the same value? False Let j = 25 + 1. Let p = j - 19. Let a = -46/165 - 4/33. Which is bigger: a or p? p Suppose 0 = -3*f + 3*d + 24, -4*f + 2*f + d + 16 = 0. Let w = -29 + 17. Let u = w + f. Which is smaller: 1 or u? u Suppose -4*y - 3*l = 6, 0 = 4*y - 5*l + 6*l + 2. Is y >= 81? False Suppose 1665 = s - 6*s. Let o = s + 8993/27. Let d be ((3/(-5))/(-3) + 460/575)/(-1). Which is smaller: o or d? d Let h = -6339/2 + 3253. Which is smaller: 83 or h? 83 Suppose 3*r + 3*v + 18 = 6*r, 2*r + 3*v + 3 = 0. Suppose 9*g - 12*g + 12 = 0. Suppose -g*t - 3*o - 6 = t, 15 = -2*t + r*o. Is -3 less than or equal to t? True Let r(b) = b**2 - 5*b + 4. Let l be r(4). Suppose l = -3*o + 12. Let t be (-16)/(-7) - (5 - o). Is -0.1 at most as big as t? True Let r = 540 + -520. Which is bigger: 5/4 or r? r Suppose 0 = -8*v - 127 - 561. Which is smaller: -88 or v? -88 Let y = -0.08 - -0.01. Let s = 115.83 - 116. Let a = y - s. Do -1 and a have the same value? False Suppose -8*g - 126 = -22*g. Is g less than or equal to 7? False Suppose -v - 93 - 507 = 0. Let m be -1 + v/(-64)*(-4)/(-33). Is 1 not equal to m? True Let w be (-1)/(495/1804 - 2/8). Let t = 37 + w. Which is greater: 2 or t? 2 Let c(g) = g**2 + 10*g - 7. Let j be c(-11). Suppose 15 = j*s - 37. Let q = 6 - s. Is -7 less than q? False Let k = 5171 - 124087/24. Is k != 1? True Let y = -0.0024 + -1.9976. Let q = -2.97 - 0.03. Let i = q - 5. Which is bigger: i or y? y Let j = -1 + 1.03. Let w = 5913 + -5919. Is j at most w? False Let j be (17/(-68))/(-1 - (-25)/40). Let k = -3.2 - -3. Do j and k have the same value? False Let n be 5 - ((-627)/(-39) + 26/169). Is n != -12? True Let i(z) = -z**2 + 21*z. Let u be i(15). Suppose 0 = 5*m - u - 5. Do m and 19 have the same value? True Let d(l) = -7*l**2 + 24*l - 13. Let v(t) = -8*t**2 + 24*t - 13. Let j(i) = 6*d(i) - 5*v(i). Let q be j(16). Which is smaller: q or -142? -142 Suppose -2*t - q + 202 = 70, -3*t + 199 = 2*q. Which is smaller: t or 63? 63 Let z be (-1)/((-45)/25 + 2). Let h be (121 - z)/3 - -3. Which is greater: 43 or h? h Let p be (2/(-3))/((-6)/45). Suppose p*q - 4*m + 116 = 0, -2*q - 5*m = -m + 52. Let n be (-10)/35 + q/14. Do n and -2 have the same value? True Let g = 2.596 - 2.6. Let h = g + -21.996. Let y = h - -22.1. Which is smaller: y or -7? -7 Let b = 1436 + -1343. Which is bigger: 1 or b? b Let m = 6 - 10. Let z = -3 - m. Is 0.22 >= z? False Let d = 791 - 792. Is d less than -4? False Let x be 464/(-3) + (-420)/45 + 8. Which is smaller: -153 or x? x Let x = 8.593 + -8.71. Is -1/6 bigger than x? False Let z(g) = -g**2 - 8*g - 6. Let s(c) = c**3 - 2*c**2 - 9*c - 3. Let v be s(4). Let f be z(v). Let i = 53/115 - 6/23. Is i greater than f? False Let k = 562 + -136. Which is bigger: -0.1 or k? k Let g(h) = -2*h**2 - 47*h - 127. Let j be g(-18). Is -1/6 greater than or equal to j? False Suppose 4*d + 251 = -w, 345*d - 1059 = 4*w + 350*d. Which is smaller: -269 or w? w Suppose 0*h + 5 = -5*g - 2*h, 2*g + 3 = -h. Let r(n) = -n**3 - 12*n**2 - n - 7. Let q be r(-12). Let a be 6/(-8)*(38/8 - q). Which is smaller: g or a? a Let s = -139 - -140. Let t = 6.6 + 31.4. Which is smaller: s or t? s Let c = 10 + -11.9. Let u = c + 1.8. Which is greater: -2/33 or u? -2/33 Let t = 88.3 - 84. Let b = 3.8 - t. Which is bigger: b or -1? b Let u(i) = 6*i**2 + 2*i + 133. Let o be u(0). Which is smaller: o or 132? 132 Let c be 10/(-1875)*5*5. Is c bigger than -17/2? True Let q be ((-245)/(-147))/((-1)/(-486)). Is 810 <= q? True Let n(s) = 4*s - 27. Let p be n(-1). Which is bigger: -30 or p? -30 Let o = -687 + 692. Which is smaller: o or 3? 3 Let o = 374 - 335. Which is bigger: -0.3 or o? o Let d = -21/139 - 10737/695. Let s = -16 - d. Which is smaller: s or 1/3? s Let q = -39/25 + -9/100. Is q at least -1? False Suppose -12*t = 10*t + 1298. Are -59 and t non-equal? False Let x(i) = i**2 + 13*i + 39. Let g be x(-5). Is g equal to 1/40? False Let w(t) = -2*t**3 - 12*t**2 - 2. Let l be w(-6). Let c = 3045 - 8999/3. Let s = c - 46. Is s != l? True Let r(i) = i**3 - 7*i**2 - 17*i + 5. Let o be r(9). Let f = o + 3. Is f at least 17? True Let y be 0 + 0 + 14/2. Suppose -24 = 3*t - y*t. Let o = -556 - -1684/3. Do t and o have the same value? False Suppose -x - 64 = 5*y, -2*y - 20 = -3*x + 2*x. Is -45/4 < y? False Let i be 4*(2 + -1) + 0. Suppose 0 = -i*d - 0*d - 4*z + 16, d + 2 = z. Let n = 140 - 140. Which is smaller: n or d? n Let o be (-3 + -1)/((-2)/2). Let p = -2354 - -2354. Do o and p have the same value? False Let d be 2/(-5) + (-504)/(-735). Which is greater: d or -1? d Let l be 6864/24122 + 11/((-924)/24). Which is greater: l or -1? l Let y(b) = 3*b - 24. Let v be y(16). Suppose 28*t - 12 = v*t. Suppose 2*z = 6, 5*h - 23 = 2*z - t*z. Which is smaller: 5 or h? h Suppose 2*j = 3*j, 2*j = -2*d + 14. Suppose -n + 1 = -4. Suppose -2 + d = -n*a. Which is smaller: -8/5 or a? -8/5 Let a be (-10918)/6 + (-8)/60*10. Is a equal to -1821? True Suppose s - g - 27 = 0, 0 = 3*s + 5*g - 20 - 21. Is 0 >= s? False Let u = 41.3 - 41. Let n be 8/8 + 8/(-5). Which is smaller: u or n? n Let r(d) = d**2 + 3*d - 2. Let v be r(-2). Let i = -2.39 + 0.39. Does v = i? False Suppose -5*o - 237 = 28. Is -52 at most as big as o? False Suppose 0 = -4*s + s - 24. Let f = s + 13. Let a be 0/((-12)/(1 - f)). Is 1 less than a? False Suppose 0*h + h - 3*a + 26 = 0, h = -2*a - 16. Let w = 1 + h. Suppose -4*c + 4*u - 77 = 3*u, -c = -5*u + 43. Is c <= w? False Let s(l) = -2*l + 1. Let c(j) = -j - 5. Let u(p) = -c(p) - 4*s(p). Let q be u(0). Let m be (4/57)/(2/3). Which is greater: m or q? q Suppose 19*j = 14*j + 1275. Let l be (-1)/(-2) + j/(-630). Which is bigger: l or -1? l Suppose -4*y - z = 4*z + 28, -5*y = -z + 6. Let g(w) = -8*w + 8*w - w**3 + 1 + w**2. Let i be g(2). Is i greater than y? False Let b = -1052.15 - -1052. Let w = -0.6 + 0.7. Which is bigger: w or b? w Let t = 0.0383 - 0.3383. Are -53 and t nonequal? True Suppose -5*o - 16 = 2*b, b = 4*b - 2*o - 14. Suppose -5*z - b*h - 1 = 0, -4*h + 1 = 5*z - 2. Let j be 2 + (-2 - 4/(-26)). Is z less than or equal to j? True Let o = 235 - 231. Is -0.04 equal to o? False Let b(j) = -j**2 - 7*j - 1. Let w be b(-7). Let f be 42/(-105)
{ "pile_set_name": "DM Mathematics" }
divide s? True Let d(p) = -2*p**3 + 7*p**2 - 5*p. Let k be d(4). Let v be -1 + 1 - (-2 + k). Is 10 a factor of v*(-3 + 4) - -2? True Let g(s) be the third derivative of s**5/60 - s**4/8 - 5*s**3/6 + 6*s**2. Let l be g(5). Suppose l*u - 3 - 82 = 0. Is u a multiple of 11? False Let j(h) be the second derivative of -23*h**5/10 + h**4/12 - h**2/2 - 13*h. Is 28 a factor of j(-1)? False Suppose 0*h - 570 = -h + m, 4*m + 1146 = 2*h. Is h a multiple of 45? False Suppose -5*a + 3*k = 19, -11 = -5*a - 5*k - 46. Let h = 2 - a. Does 7 divide h? True Let t be 24/(-3)*(-11)/2. Let b = -36 + t. Is 2 a factor of b? True Suppose 3*n = -5 + 14. Suppose -n*i = 17 - 119. Suppose -5*l = -261 - i. Is 11 a factor of l? False Let k = -579 - -1550. Is 71 a factor of k? False Let n = 197 - 67. Let d = 238 - n. Is 18 a factor of d? True Suppose -171 = -19*q - 0*q. Suppose 3*g + 288 = q*g. Does 9 divide g? False Let f(n) = -n**2 - 4*n - 3. Let r be f(-1). Suppose r = -9*d + 249 + 75. Is d a multiple of 12? True Let b be (-1)/3 - 12/(-9). Let g(m) = 163*m**2 - m + 3. Is g(b) a multiple of 15? True Let d(z) = -z + 3. Suppose 3*i + 15 = -18. Let a be d(i). Suppose -4*o + a = -18. Does 8 divide o? True Let z = -131 + 134. Suppose -125 = -z*u + 343. Does 13 divide u? True Let g(j) = -j + 9. Let q be g(-10). Suppose -1 + q = y + k, -y + 24 = -k. Is y a multiple of 21? True Let j be ((-6)/(-5))/(3/(-15)). Let q be (-18)/(1 - (-10)/j). Does 32 divide (-12)/(q/(-8) + 3)? True Suppose 0 = 2*b - 4 - 4. Suppose 44 - 184 = -b*c. Is c a multiple of 19? False Let p(i) = i**2 + 3*i + 5. Let j be p(-2). Suppose -5*l + 431 = -t, 0 = -j*l + 2*t - 3*t + 265. Is 9 a factor of l? False Let t = 4555 + -1363. Does 19 divide t? True Suppose 20611 = 16*l - 20557. Does 10 divide l? False Let y(o) be the first derivative of o**7/840 - o**6/72 + o**5/40 - o**4/8 - 2*o**3/3 - 5. Let w(v) be the third derivative of y(v). Is 6 a factor of w(5)? True Let z = -325 - -331. Does 5 divide z? False Let n = 754 + -70. Is n a multiple of 18? True Suppose 4*l = -l + 5*t + 20, 4*l - 10 = t. Suppose 5*o = l*o + 12. Suppose 4*p - 55 - 49 = 4*w, o*p = -5*w + 95. Does 25 divide p? True Let s be 81 + (3 - (3 + -3)). Suppose 3*v = v + s. Suppose -20 = -2*w + 2*t, -2*w + 5*t - 10 = -v. Is 4 a factor of w? False Let p(k) = -2*k**3 + k**2 + k. Let v be p(-1). Suppose 3*w - 2*w = b - 35, v*w = 0. Does 16 divide ((-14)/b)/(1/(-80))? True Suppose -j + 40 = 3*j. Let s = -8 + j. Suppose -3*l + 9 = 5*c - 1, c = -s*l - 5. Does 3 divide c? False Let c be (-6)/12*(2 - 2). Suppose l = -c - 4. Is (-196)/l*(0 - -1) a multiple of 20? False Suppose -32*z + 33*z = 270. Is z a multiple of 15? True Let q = 221 - 53. Suppose 5*k = q + 237. Is k a multiple of 17? False Let l(s) = 9*s - 6. Let f = 30 - 23. Let h be l(f). Let m = h + -30. Is 9 a factor of m? True Suppose t + 3 = -f, 3*f + 23 = -t + 5*t. Let u(p) = 1230 - 1213 - p - 5*p + 0*p. Is u(f) a multiple of 11? False Let k = 612 + -395. Does 6 divide k? False Suppose 5*z - 2*u - 3*u - 15 = 0, -4*z = 4*u - 4. Is 41 a factor of 102/1 + (4 - (z + -1))? False Let p(l) = l**2 - 3*l + 8. Let t be p(12). Let b = 173 - t. Does 3 divide b? True Suppose 1002 = 3*u - 0*d + 3*d, 3*d - 1332 = -4*u. Does 33 divide u? True Suppose 4*a = -3*f + 109, 0 = 5*a + 4*f - 108 - 28. Let p be (-5888)/(-28) + (-8)/a. Suppose -8*n = -5*n - p. Is n a multiple of 21? False Let l be ((-12)/(-10))/((-5)/(-25)*2). Suppose 3*s - 5*c - 19 = 0, 6*c = -s + l*c - 3. Is s even? False Let i = -38 - -56. Let m = 0 + 2. Suppose -i = k - m*k. Is 13 a factor of k? False Suppose -2754 = -17*c - c. Does 7 divide c? False Let m be 1 - 3184/80 - 2/10. Let i(n) = 69*n. Let g be i(-1). Let d = m - g. Is 10 a factor of d? True Suppose b = 3*y - 3*b + 20, 0 = 4*y + 4*b + 8. Let v be y/(-2) + 44/22. Suppose 0 = 2*a + 3*a - n - 192, v*a - 5*n = 162. Does 19 divide a? True Let v(u) = u**3 - 16*u**2 + 17*u + 2. Let m be v(15). Suppose 0 = 2*j - 188 - m. Does 11 divide j? True Let b be (48/(-10))/(3/15). Does 15 divide (-272)/(-3) - (-16)/b? True Let t = -27 - -87. Suppose -2*y - 4*b + t = 0, 2*b + 4 - 2 = 0. Let n = y - 14. Is n a multiple of 6? True Let a(c) = c**3 - 3 - 7*c**2 - 2*c**3 - 7 - 4*c + 2*c. Does 35 divide a(-8)? True Let z(o) = -4*o**3 - 8*o**2 + 22*o - 16. Does 39 divide z(-8)? False Let l(m) = m**3 - 27*m**2 + 96*m + 24. Does 17 divide l(24)? False Let g(p) = 6*p**3 + 2*p**2 - 2*p - 1. Let z be g(-2). Let y = 64 + z. Does 27 divide y? True Let b(q) = -q**2 - 7*q - 3*q - 8*q - 20. Does 16 divide b(-13)? False Suppose -3*x + 28 = 4*x. Does 7 divide 14/(6 - 0 - x)? True Let z(h) = 2 - 6*h + 3*h**2 + 3*h + 2*h**2. Let v be z(1). Suppose -v*d = 3*k - 37 - 27, 65 = 3*d - 2*k. Does 6 divide d? False Let d(j) = -21*j + 14. Let t(x) = 21*x - 13. Let u(q) = 4*d(q) + 3*t(q). Is 17 a factor of u(-3)? False Suppose -5*d - 2*v = -34, -3*d - 10 = -4*d - 2*v. Let q = d - 6. Suppose 3*b - 4*g - 58 - 118 = q, -2*g = -2*b + 116. Does 14 divide b? True Let p be (0 - 0)/(7/7). Suppose -2*q + 4*q - 106 = p. Does 13 divide q? False Suppose 932 = 2*r + 4*o, 5*o - 1299 = -5*r + 1036. Is 23 a factor of r? False Let l(k) = -162*k**3 + 2*k**2 - k - 2. Is l(-1) a multiple of 5? False Let o(i) be the third derivative of i**4/12 + i**3/3 + 4*i**2. Let q be o(4). Is (15/q)/(2/52) a multiple of 16? False Suppose -8*g + 2584 = -4*g. Is 19 a factor of g? True Let x(b) = -2*b - 83. Let l be x(9). Let i = l - -137. Is 18 a factor of i? True Is 4 a factor of 90*(-10)/(-40)*40? True Let g(x) = -12*x + 15. Let b be g(-18). Let m = 31 - 27. Suppose -11 = m*i - b. Does 11 divide i? True Let c be 3/12*528/4. Suppose -c*z + 30*z = -702. Is 39 a factor of z? True Let n(o) = -o**3 + 9*o**2 + 12*o - 11. Let x be n(8). Let a = x + -47. Is 12 a factor of a? False Let t(z) = -z**3 - 9*z**2 - 2*z + 10. Let v be t(-9). Suppose 27*d = v*d - 133. Is d a multiple of 13? False Let c(n) = -n**2 + 16*n - 26. Let p be c(14). Suppose p*v - 66 + 22 = -4*h, -2*v - 2*h = -38. Is v a multiple of 7? False Let p(h) = h**2 - 23*h - 120. Is p(39) a multiple of 9? True Let d be -4 - (-4 - 0 - 4). Suppose -3*o = r + 4*r - 20, -d = -r. Suppose -10*x + 5*x + 295 = o. Does 16 divide x? False Let a = -1503 - -1545. Is 4 a factor of a? False Let p = 59 - 49. Suppose -p*o + 505 = -5*o. Is o a multiple of 11? False Let f(u) = 35*u**2 + 2*u. Let r be f(-2). Let m = 301 - r. Is m a multiple of 16? False Let m(d) = -d**3 + 8*d**2 - 6*d - 13. Let i be m(7). Is 117 + -2*9/i a multiple of 26? False Suppose -2*c + 17 = j, -c + 70 = 4*j - 12. Let f = j - -3. Does 4 divide f? True Suppose 8*h - 308 = 30*h. Let l(b) = 2*b**2 + b + 1. Let p be l(-4). Let c = h + p. Is 15 a factor of c? True Let u(s) = s**3 - 7*s**2 + 11*s - 5. Let w be u(7). Let r be 30/(-20)*2*-1. Suppose w = k + r*k. Is 8 a factor of k? False Let f be (3 + 0 - -3) + -3. Let z = f + -1. Suppose 0*i + 3*t = i + 1, 1 = -z*i + 5*t. Is i even? True Let u(l) = -4*l - 4. Let i(y) = -4*y**2 + y. Let f be i(1). Let w be u(f). Let o = -1 + w. Is 5 a factor of o? False Let n(o) be the third derivative of -1/60*o**5 - 1/24*o**4 + 5*o**3 + 0 + o**2 + 0*o. Is 10 a factor of n(0)? True Suppose 50*i = 67*i - 2771. Is 3 a factor of i? False Let d(r) = r**3 - 4*r**2 + 9*r - 5. Let h be d(6). Let m = -89 + h. Does 32 divide m? True Let f(d) = -d**3 - 9*d**2 + 9*d + 5. Let i(t) = -6*t + 21. Let v be i(9). Let k = 23 + v. Is f(k) a multiple of 15? True Suppose -29*n = -25*n + 12, 2*n = -5*x + 8209. Does 14 divide x? False Suppose -2*v = 3*n - 47, -3*v + 0*v - 15 = 0. Suppose -g - q = -n - 11, g + 2*q = 34. Is g a multiple of 4? False Suppose 820 = -10*c + 15*c. Suppose 198 = 4*w - 5*h, -c = w - 4*w - 4*h. Is 10 a factor of w? False Is 86 a factor of 1375 + 1*1/1*1? True Suppose -720 = -5*p + 2*b + 88, 5*p + 3*b = 813. Does 17 divide p? False Let f(k) = k**3 - 7*k**2 + k - 6. Let o be f(7). Let d be 0 - (-16 + (2 - o)). Suppose 0 = 4*b - 5 - d. Is b a multiple of 5? True Let i be 16 - 5/(-15)*-3. Does 9 divide i/((-5)/(-150)*9)? False Suppose -368 = 40*g - 44*g. Is 224/(-6)*(-207)/g a multiple of 12? True Let r = -6 - -16. Is 4198/10 + 2/r a multiple of 53? False Suppose -2*h - 19 = -4*g - 117, 3*g - h = -72. Let u be g/(-6) + (-8)/(-48). Suppose -5*j - 46
{ "pile_set_name": "DM Mathematics" }
mmon divisor of 72 and 36? 36 Calculate the greatest common divisor of 3006 and 144. 18 Calculate the greatest common factor of 60 and 40. 20 What is the highest common factor of 2522 and 485? 97 What is the greatest common factor of 24 and 16? 8 Calculate the greatest common factor of 650 and 50. 50 What is the highest common divisor of 118 and 19706? 118 What is the greatest common factor of 5350 and 25? 25 Calculate the greatest common factor of 423 and 564. 141 Calculate the greatest common factor of 390 and 180. 30 What is the greatest common factor of 14544 and 48? 48 Calculate the highest common divisor of 48 and 1424. 16 What is the highest common factor of 51 and 6? 3 What is the greatest common divisor of 30 and 255? 15 What is the highest common divisor of 4510 and 110? 110 Calculate the highest common divisor of 284 and 140. 4 What is the greatest common divisor of 51 and 187? 17 What is the highest common factor of 5268 and 12? 12 Calculate the greatest common divisor of 685 and 10. 5 What is the highest common factor of 147 and 483? 21 What is the greatest common divisor of 20 and 45? 5 Calculate the greatest common divisor of 3192 and 171. 57 What is the greatest common divisor of 17 and 493? 17 Calculate the highest common factor of 14 and 564. 2 Calculate the highest common divisor of 122 and 4331. 61 What is the highest common factor of 3 and 507? 3 What is the highest common divisor of 407 and 33? 11 Calculate the highest common factor of 34575 and 75. 75 What is the highest common divisor of 83 and 415? 83 Calculate the greatest common factor of 697 and 123. 41 Calculate the greatest common factor of 63 and 17829. 63 Calculate the highest common factor of 3196 and 141. 47 What is the highest common divisor of 184 and 506? 46 Calculate the highest common factor of 2040 and 150. 30 What is the highest common divisor of 1036 and 56? 28 What is the greatest common factor of 23 and 184? 23 What is the greatest common divisor of 272 and 336? 16 Calculate the highest common divisor of 187 and 12529. 187 What is the greatest common factor of 54 and 102? 6 What is the greatest common divisor of 1581 and 51? 51 Calculate the highest common divisor of 70 and 110. 10 Calculate the greatest common factor of 348 and 319. 29 What is the highest common factor of 7 and 13993? 7 What is the highest common divisor of 138 and 7682? 46 What is the highest common factor of 2279 and 43? 43 Calculate the greatest common divisor of 18195 and 30. 15 What is the greatest common divisor of 25 and 580? 5 Calculate the highest common divisor of 128 and 560. 16 Calculate the highest common factor of 46 and 621. 23 Calculate the highest common divisor of 416 and 1976. 104 What is the greatest common factor of 424 and 159? 53 Calculate the highest common factor of 567 and 837. 27 Calculate the greatest common factor of 1617 and 11. 11 What is the highest common divisor of 2 and 287? 1 Calculate the greatest common divisor of 5731 and 11. 11 What is the highest common factor of 9443 and 133? 133 What is the highest common divisor of 74 and 8732? 74 What is the greatest common factor of 28 and 273? 7 Calculate the highest common factor of 112 and 4816. 112 Calculate the greatest common factor of 696 and 6554. 58 Calculate the highest common factor of 6 and 16. 2 Calculate the highest common factor of 81 and 1593. 27 Calculate the highest common divisor of 364 and 559. 13 What is the greatest common factor of 72 and 6504? 24 What is the highest common factor of 165 and 60? 15 What is the greatest common factor of 406 and 14? 14 Calculate the greatest common divisor of 40 and 7640. 40 What is the greatest common factor of 44 and 66? 22 What is the highest common factor of 3082 and 230? 46 Calculate the greatest common factor of 11482 and 2. 2 Calculate the greatest common factor of 16 and 312. 8 What is the highest common divisor of 52 and 1404? 52 Calculate the highest common divisor of 21 and 12362. 7 What is the greatest common factor of 248 and 186? 62 What is the greatest common factor of 102 and 12478? 34 Calculate the greatest common factor of 46 and 1840. 46 Calculate the greatest common divisor of 4 and 1244. 4 What is the highest common divisor of 2044 and 84? 28 What is the greatest common divisor of 21 and 476? 7 What is the highest common factor of 1512 and 999? 27 Calculate the greatest common divisor of 114 and 152. 38 Calculate the greatest common divisor of 462 and 1782. 66 Calculate the highest common divisor of 37 and 1073. 37 What is the highest common factor of 225 and 11880? 45 Calculate the greatest common factor of 12 and 150. 6 Calculate the greatest common divisor of 54 and 6. 6 Calculate the highest common divisor of 93 and 27. 3 Calculate the greatest common divisor of 184 and 10. 2 Calculate the greatest common divisor of 104 and 416. 104 Calculate the greatest common factor of 6847 and 82. 41 Calculate the highest common factor of 119724 and 66. 66 Calculate the greatest common divisor of 456 and 44688. 456 What is the greatest common divisor of 2040 and 68? 68 What is the highest common divisor of 16 and 656? 16 What is the highest common divisor of 352 and 992? 32 Calculate the greatest common factor of 139 and 2224. 139 What is the highest common divisor of 560 and 360? 40 What is the highest common factor of 42 and 84? 42 Calculate the highest common divisor of 297 and 132. 33 Calculate the greatest common divisor of 8 and 8. 8 Calculate the greatest common divisor of 43 and 2107. 43 What is the highest common factor of 40 and 5? 5 Calculate the greatest common divisor of 14 and 420. 14 Calculate the greatest common divisor of 1326 and 1020. 102 Calculate the greatest common divisor of 3 and 159. 3 What is the greatest common divisor of 30 and 498? 6 What is the highest common factor of 13706 and 154? 154 Calculate the greatest common factor of 68 and 340. 68 What is the highest common divisor of 1476 and 126? 18 What is the highest common factor of 412 and 1957? 103 Calculate the greatest common factor of 13 and 221. 13 Calculate the greatest common divisor of 80 and 112. 16 What is the greatest common divisor of 124 and 116? 4 Calculate the highest common factor of 28 and 1316. 28 Calculate the greatest common factor of 90 and 81. 9 Calculate the highest common factor of 4816 and 860. 172 Calculate the greatest common factor of 98 and 70. 14 Calculate the highest common divisor of 44 and 1276. 44 Calculate the greatest common factor of 168 and 56. 56 Calculate the highest common divisor of 597 and 3. 3 What is the greatest common factor of 42 and 854? 14 Calculate the greatest common factor of 1080 and 126. 18 What is the greatest common factor of 4123 and 2604? 217 Calculate the greatest common divisor of 14381 and 73. 73 What is the greatest common factor of 228 and 1311? 57 What is the highest common factor of 9 and 52812? 9 Calculate the greatest common divisor of 2840 and 40. 40 What is the greatest common divisor of 81 and 72? 9 What is the greatest common factor of 286 and 22? 22 Calculate the greatest common divisor of 12 and 101616. 12 What is the greatest common factor of 37 and 12469? 37 Calculate the highest common divisor of 357 and 21. 21 What is the highest common divisor of 40 and 320? 40 Calculate the highest common factor of 22 and 11. 11 What is the greatest common factor of 17982 and 74? 74 Calculate the highest common factor of 165 and 1089. 33 What is the greatest common divisor of 2134 and 970? 194 What is the greatest common factor of 40 and 60? 20 What is the highest common factor of 25 and 45? 5 What is the highest common factor of 27 and 18441? 27 What is the greatest common divisor of 2015 and 845? 65 Calculate the highest common factor of 279 and 31. 31 What is the highest common factor of 2 and 34? 2 What is the greatest common factor of 77 and 165? 11 What is the greatest common divisor of 2331 and 444? 111 What is the greatest common divisor of 38 and 247? 19 Calculate the highest common factor of 256 and 32. 32 What is the greatest common factor of 19796 and 196? 196 What is the greatest common divisor of 154 and 264? 22 What is the greatest common divisor of 15 and 955? 5 What is the hi
{ "pile_set_name": "DM Mathematics" }
ch is bigger: -1 or 38/15099871? 38/15099871 Which is smaller: -3933/3790 or 4? -3933/3790 Is -113744 equal to -12056937/106? False Is 55137 at most 2/23? False Is -3 greater than or equal to 61413246? False Which is bigger: 8682251 or 8682250? 8682251 Are 1212454 and 1212436 non-equal? True Which is smaller: 5961380 or 5961378? 5961378 Is 120579968 at most 120579968? True Do 0 and 0.34202075 have the same value? False Which is smaller: -14359773 or -14359774? -14359774 Which is smaller: 1281462 or 6.8? 6.8 Is -5463298 greater than -5463298? False Is -2/3 at least 2830770? False Is 1693200 greater than 1693203? False Do 1 and 2229/63170 have different values? True Which is greater: -40269 or -40755? -40269 Is 745586 != 745466? True Is 75395696 equal to 75395698? False Which is smaller: -19893735 or -19893734? -19893735 Which is smaller: 1/49497868 or 1? 1/49497868 Which is greater: -1 or -28/3361097? -28/3361097 Is 766850 at most as big as 766848? False Which is bigger: -75/17123641 or -1? -75/17123641 Which is greater: 5 or 58844/13925? 5 Is -1974814 at most as big as -1974815? False Which is greater: -10526 or -11446? -10526 Which is smaller: -53519/705 or -75? -53519/705 Which is smaller: 61999847 or 61999846? 61999846 Is 109309624 < 109309623? False Which is greater: -1 or -1691/1015680? -1691/1015680 Is 380197 < 0.0219? False Is -41928131/2 equal to -20964067? False Which is greater: 1029482 or 1029487? 1029487 Is 87006 at most as big as 87105? True Which is smaller: -26 or 4611867? -26 Which is bigger: -3617704 or -3617701? -3617701 Which is bigger: 267522664 or 802567988/3? 267522664 Which is bigger: -2318/21623 or 0? 0 Which is smaller: -682/58051 or -1? -1 Is 10 != -75112.3? True Are 96 and -554955 unequal? True Does -1413529 = -1413525? False Which is greater: -42022629/4 or -10505657? -10505657 Which is bigger: 2376 or 259843? 259843 Is 616.1786 >= 4? True Is 40301388 != 40301392? True Is 1005/1574 != 1? True Is -1 < 2/6032539? True Which is smaller: -1 or 2292/18485? -1 Is -1584940 less than -0.0038? True Is -30238 bigger than -30231? False Which is bigger: -10867355/3 or -3622452? -10867355/3 Is 8.6 > 16/22525? True Is 700027 greater than 700032? False Is -2/7 at least 2041/23986? False Is 106 smaller than -0.95706? False Which is smaller: 24.996 or -901? -901 Are 0.0034738 and -57 equal? False Is -413143 <= -413140? True Which is smaller: -3403591.5 or 3/34? -3403591.5 Which is greater: 52 or -15.85386? 52 Which is smaller: 216 or 156152? 216 Is -226.8807 <= -0.1? True Are 45 and 44091/962 equal? False Which is smaller: -1/305841 or 1? -1/305841 Which is greater: -1/15417231 or 1? 1 Is -6956876 <= -6956875? True Which is smaller: -1 or -100/4890439? -1 Is -470802545 at least -470802544? False Which is greater: -199396047 or -199396046? -199396046 Is -252640966 > -252640964? False Is -0.13 less than -3958961? False Which is smaller: -2/12889203 or 0? -2/12889203 Which is greater: -278.1577082 or 0? 0 Which is smaller: -1216 or 5/18202? -1216 Is 2665516/19 at least as big as 140290? True Which is bigger: 527541 or -7? 527541 Which is greater: 417584 or 417929? 417929 Is -5683 greater than or equal to -471726/83? True Which is smaller: 258 or 139078/539? 258 Which is smaller: 20/3264647 or 0? 0 Is -11/30804 smaller than -211.1? False Are 0 and -1/162692794 nonequal? True Is 544 less than or equal to -1810? False Which is smaller: 13306 or 11961? 11961 Is -1/1179 >= 165520? False Which is greater: -29188312 or -29188326? -29188312 Which is greater: -36/188927269 or -1? -36/188927269 Which is smaller: -12 or -4354441? -4354441 Which is bigger: -663762 or -10? -10 Which is bigger: 132415 or 132416? 132416 Which is bigger: 1580668 or 1580672? 1580672 Which is smaller: -0.3 or -14260975? -14260975 Which is smaller: 16612562 or 16612561? 16612561 Is -367/289254 != -1? True Which is greater: 15150324 or 15150326? 15150326 Is 0 < 10/116169871? True Is -375227 greater than -376020? True Is 0 less than -37/2757247? False Is -995912 less than -6.3? True Is -1099330 <= -1099734? False Is 4/34309071 at most 0? False Do -81923/82 and -1000 have the same value? False Which is greater: -71109969/2 or -35554986? -71109969/2 Is 1 >= -1/9170808? True Is -964 at most -371556/385? False Which is smaller: 770/71773 or -1? -1 Which is smaller: 105226/1591 or 65? 65 Which is bigger: -57 or 0.0998004? 0.0998004 Which is bigger: 3 or 185635/6? 185635/6 Which is bigger: 1 or 8/294027? 1 Which is bigger: 1373016 or 1373013? 1373016 Which is bigger: 10183810 or 3/14? 10183810 Is -3611501 smaller than -3611503? False Which is bigger: -2545/14447 or 1? 1 Which is smaller: 44701518 or 44701517? 44701517 Which is smaller: 9/2287111 or 0? 0 Is 10555/10438 equal to 2? False Which is bigger: -1 or 107/260455? 107/260455 Which is bigger: 7406184 or 7406309? 7406309 Which is smaller: 848800817 or 848800816? 848800816 Which is smaller: -1331961 or -1331764? -1331961 Is 16730.777 < 2? False Which is bigger: 17905440.9 or 1? 17905440.9 Do 3184187 and 28657684/9 have the same value? False Do 0 and 505/28852 have the same value? False Is -16734/731 greater than -24? True Is -24101280 less than -24101281? False Which is bigger: -6907/284 or -24? -24 Is -2 equal to -53859/25565? False Is -363 at least as big as -0.5210195? False Which is smaller: -15739/87670 or -1? -1 Which is smaller: 124943 or 124971? 124943 Which is bigger: 1 or -1/25041869? 1 Is 314/99193 at most -1? False Which is smaller: 113/933495 or 2/9? 113/933495 Which is smaller: -5672342 or -5672341? -5672342 Which is smaller: -1 or 2/23389547? -1 Which is bigger: 3854293/6 or 642383? 642383 Is -1/1171668620 at least as big as -1? True Which is smaller: -102685 or -102686? -102686 Is 0.8 less than or equal to 56261? True Which is smaller: -9906264 or 1/4? -9906264 Which is bigger: 372.5 or 0.236? 372.5 Which is smaller: 1536/159163 or 0? 0 Is 448497 at most 448507? True Is 5746347 < 0.035? False Which is bigger: 3 or 18609/9190? 3 Are 4/2911635 and 1 equal? False Which is smaller: -103794 or -103783? -103794 Which is greater: -4410547 or -4410554? -4410547 Which is bigger: 8264 or 8462? 8462 Which is greater: -17 or 0.02327663? 0.02327663 Is 61/1958801 at least 1? False Is -42/11 > 121.295? False Which is smaller: -2 or 199101.826? -2 Which is smaller: -3639683/88 or -41360? -3639683/88 Which is bigger: -297684/47 or -6334? -297684/47 Which is smaller: -969 or -173403/179? -969 Is 103745615 at most as big as 103745619? True Is 1 < -2/40108857? False Which is smaller: 1 or 1/15812733? 1/15812733 Which is greater: -2.28 or -190654? -2.28 Is -14842163 equal to -14842165? False Which is bigger: 4/5413589 or -1? 4/5413589 Which is bigger: 777 or 429035/552? 429035/552 Are -21802751 and -21802746 equal? False Which is greater: -27/1381274 or 1? 1 Which is greater: 76433 or 1910838/25? 1910838/25 Is -3616730604/11 bigger than -328793692? True Which is greater: -43219986 or -43219974? -43219974 Which is bigger: -128 or 50955? 50955 Is 66/71 equal to -10055? False Does -51 = 422617? False Is -1 greater than -1/72508645? False Which is greater: 1888754 or -2/7? 1888754 Which is smaller: 10 or 75468/7661? 75468/7661 Is -8563877 at least -0.1? False Are -13.575598 and 1/3 unequal? True Does 3/10119937 = -0.1? False Which is smaller: -5444 or -647946/119? -647946/119 Do -1637315 and -0.8 have the same value? False Is 244618 not equal to 244629? True Is -9647851/4 at most as big as -2411962? True Which is smaller: 1 or -906/449251? -906/449251 Which is smaller: 0.2 or -20158944? -20158944 Which is smaller: -516 or -2.892546? -516 Is 87414282 equal to 87414282? True Which is smaller: -2 or 202615? -2 Which is bigger: 6 or 10712/2359? 6 Is -43620 bigger than -1221363/28? True Which is bigger: -6589 or 243? 243 Is -10767813 < -2/9? True Which is smaller: 114687 or 114881? 114687 Which is smaller: 890365 or 3561461/4? 890365 Do 66.26606 and -2/31 have the same value? False Is -1 at most as big as 56/55084933? True Which is greater: 6057 or -3/301? 6057 Which is smaller: -5/5507597 or 1? -5/5507597 Does -2/7876583 = -1? False Is -2473579 smaller than -2473575? True Is -3 >= 47990644? False Which is smaller: -0.69 or -164149? -
{ "pile_set_name": "DM Mathematics" }
sqrt(363) + 1))*-6))*4*1)**2. 1728 Simplify ((sqrt(24) + sqrt(96))*-4 + sqrt(96)/(sqrt(4)*-2))/(((-2*sqrt(132) + sqrt(132))*6)/sqrt(11)). 25*sqrt(2)/12 Simplify ((sqrt(91) + (1*sqrt(91) - sqrt(91)))*-5*3)/((sqrt(168)/sqrt(4))/sqrt(6) + 5*-1*sqrt(7) + sqrt(7) + sqrt(7)). 15*sqrt(13)/2 Simplify 2 + (-1*sqrt(57)*6)/(4*sqrt(363) - sqrt(363)). -2*sqrt(19)/11 + 2 Simplify (-1*((-3 + (sqrt(128) - (sqrt(128) + 0 + -5)))*6 + -5))**2. 49 Simplify (((sqrt(85) + 2*(1*sqrt(85) - sqrt(85)))*-1)/(sqrt(30)/(2*sqrt(6)) + (sqrt(55) + sqrt(165)/sqrt(3))/sqrt(11)) + 0)**2. 68/25 Simplify (((3 + -1 + sqrt(7) - sqrt(35)/(sqrt(5)*-3)) + -4)*3)**2. -48*sqrt(7) + 148 Simplify ((sqrt(21) + sqrt(84)*6 - sqrt(21))*-2)/((sqrt(84) - (sqrt(84)*-2 + sqrt(84))*-4)/sqrt(12)). 8*sqrt(3) Simplify 0 + 1 + -1 + sqrt(125)*-2*-4. 40*sqrt(5) Simplify -1 + -1 + (sqrt(68) + (sqrt(68) + (sqrt(68)*2 - sqrt(68)))*-3)/(sqrt(4) + (sqrt(4) - -1*-1*sqrt(4))). -5*sqrt(17) - 2 Simplify (sqrt(26)*2 + sqrt(26))/sqrt(2)*-1 + sqrt(624)/sqrt(3) + (0 + sqrt(325))**2. sqrt(13) + 325 Simplify 6*((sqrt(420)/(sqrt(90)/sqrt(9)))/(sqrt(6) - (sqrt(864) + 2*sqrt(864))))**2. 6/175 Simplify 1*(0 + sqrt(8)/(sqrt(20)/sqrt(5)) + (sqrt(18)*-3)/sqrt(9)). -2*sqrt(2) Simplify (sqrt(847) + -5 + (sqrt(847) + 3 - sqrt(847)) + -4 + sqrt(847)*4 + sqrt(847))**2 + 1. -792*sqrt(7) + 30529 Simplify ((-5*3*-1*sqrt(204))/(sqrt(972)*1*-1 + sqrt(972) + sqrt(972)))**2. 425/9 Simplify -1*(-1 + -5 + (sqrt(432) + -1 - sqrt(432)) - ((sqrt(432) - (sqrt(432) + 2*sqrt(432) + -3))**2 - (sqrt(432) + -2*sqrt(432))*5)). -84*sqrt(3) + 1744 Simplify ((sqrt(88) + (sqrt(88) + sqrt(88) + -3*1*sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88) - sqrt(88))*6)/(sqrt(968)*-2 - -1*sqrt(200)). 0 Simplify ((4 + sqrt(700) + (-3*sqrt(700) - sqrt(700)) + sqrt(700))**2 + -4)*2. -320*sqrt(7) + 5624 Simplify (-3*(sqrt(34)*-5*-6)/(sqrt(24)/(sqrt(12)*3)))**2. 1239300 Simplify (sqrt(1377) + 3 + -3)*6 + 3*(-6*sqrt(1377)*-2 + sqrt(1377)). 405*sqrt(17) Simplify ((sqrt(54)*2)/sqrt(3))/(sqrt(441)*-1) + 0. -2*sqrt(2)/7 Simplify -4 + (-4 + sqrt(162) + 3*sqrt(162) - (sqrt(162) + -3)*-2) + -3. -17 + 54*sqrt(2) Simplify (5 + (sqrt(3520) - -2*sqrt(3520))/(sqrt(500) + sqrt(500) + (sqrt(500) - -1*sqrt(500)) + sqrt(500) - sqrt(500)))*-1. -5 - 3*sqrt(11)/5 Simplify ((6*2*sqrt(272) - ((0 + sqrt(425))*-1 - sqrt(425)))*6 + 0)**2. 2058768 Simplify 5*(sqrt(320) - (sqrt(320) - (sqrt(320) + (((sqrt(320) + (sqrt(320) + 1 - sqrt(320)) - sqrt(320))*1 + sqrt(320))**2 - sqrt(320)))))*-1*-4. 320*sqrt(5) + 6420 Simplify -5 + 1*(-1 + sqrt(2187))**2 + sqrt(135)/(-1*sqrt(5)) + sqrt(27)*2 + sqrt(27) + -2. -48*sqrt(3) + 2181 Simplify (1 + ((1*sqrt(500) - sqrt(500)) + sqrt(500))*-3 + -2*sqrt(500)*6 + 0)**2. -300*sqrt(5) + 112501 Simplify -4*((sqrt(17)*1*-2 + 4)**2 + ((sqrt(85) + 6*((sqrt(85) - 1*sqrt(85)) + sqrt(85)))/sqrt(5))**2). -3668 + 64*sqrt(17) Simplify 0 + ((sqrt(84)/(sqrt(48)/sqrt(4)) + sqrt(7))*6 + 1 + -1 + sqrt(252) + sqrt(252))**2. 4032 Simplify (-4*(sqrt(343) + -1 + sqrt(343) + sqrt(343)) - 1*(sqrt(7) - -2*sqrt(7))*2)**2 + -1. -720*sqrt(7) + 56715 Simplify -3 + (sqrt(26)/sqrt(2))**2*4 + 0 + sqrt(143)/(2*sqrt(11)). sqrt(13)/2 + 49 Simplify (((-4*sqrt(360) - sqrt(40)) + sqrt(40) - (-1*sqrt(280) + sqrt(280))/sqrt(7))/(sqrt(288)*2*-2))**2. 5/4 Simplify 6*(3 + -1*sqrt(2)) - (-4 + sqrt(720)/sqrt(10))**2. -70 + 42*sqrt(2) Simplify ((sqrt(39) + -3*sqrt(39)*2)/sqrt(3) - sqrt(156)/(sqrt(120)/sqrt(490)))*-5. 60*sqrt(13) Simplify (sqrt(475) + -1 + 4 + sqrt(171)/sqrt(9) + sqrt(19) + 2)**2. 70*sqrt(19) + 956 Simplify -5*(sqrt(175)*-2 + 3 - 3*(-2 + sqrt(175))). -45 + 125*sqrt(7) Simplify ((sqrt(204)*3)/sqrt(12) - (sqrt(68)/sqrt(4) + 3)) + (((sqrt(170) + -2*sqrt(170))/sqrt(10) + sqrt(17))**2 - (sqrt(17) + 1 + sqrt(17) + -5)). 1 Simplify (0 + -4 + (sqrt(176) + 0 - sqrt(176)) - (-4 + sqrt(176)*2 + -4))*-1. -4 + 8*sqrt(11) Simplify (sqrt(114) + (sqrt(114)*-1 - sqrt(114))*4 + (5*-1*sqrt(114) - sqrt(114)))/((sqrt(726) + 2*sqrt(726))*3). -13*sqrt(19)/99 Simplify 2*(2 + (sqrt(7) + sqrt(63))*-5 + sqrt(21)/(sqrt(3)*2))**2. -156*sqrt(7) + 10663/2 Simplify ((-1*(sqrt(77) + sqrt(77)*1) - sqrt(77)) + -5*2*sqrt(77))/(-6*sqrt(336)/sqrt(3)). 13*sqrt(11)/24 Simplify (-3*-5*sqrt(190))/((sqrt(80)*1)/sqrt(8)). 15*sqrt(19) Simplify (4*(sqrt(170) + (sqrt(170) - 5*(sqrt(170)*1 + sqrt(170)))))/(2*(sqrt(10) + sqrt(490)*2 + sqrt(490))). -8*sqrt(17)/11 Simplify (-5 + sqrt(85)/(sqrt(5) - -3*sqrt(125)))**2 + 3. -5*sqrt(17)/8 + 7185/256 Simplify (-2*(sqrt(612) - (sqrt(612) + 2)))**2 - (sqrt(68) + -5 - (-3 + sqrt(17)*1)). -sqrt(17) + 18 Simplify 1*(sqrt(304) + -2 + sqrt(2736) + 1 - (sqrt(931) - (sqrt(931) - (sqrt(931) + -2*-1*sqrt(931))))). -5*sqrt(19) - 1 Simplify (-4*(sqrt(6) - (sqrt(6) + sqrt(6)*-3*2)))/((sqrt(432) - sqrt(432)*2 - sqrt(432))*-5). -sqrt(2)/5 Simplify -3 + ((sqrt(11) + sqrt(66)/sqrt(6))*3 - sqrt(11) - (1*1*sqrt(11) + sqrt(11)))**2 + 0. 96 Simplify -4*((2 + (sqrt(300) - (sqrt(300) + sqrt(300) + -3)*4))*-1)**2*-5. -39200*sqrt(3) + 297920 Simplify ((sqrt(208) - (sqrt(208) + sqrt(208) + sqrt(208)*-1 + sqrt(208)))/sqrt(8) - sqrt(26))/(sqrt(8)/sqrt(4)*-5 - sqrt(2) - sqrt(2)). 2*sqrt(13)/7 Simplify 1 + (((sqrt(240)*-1 - sqrt(240))/sqrt(8))/sqrt(10) - sqrt(24)/(-1*sqrt(72)))**2. 28/3 Simplify ((sqrt(209) - sqrt(209)*-2)/sqrt(11) + sqrt(133)/sqrt(63) + -2)*2*5. -20 + 100*sqrt(19)/3 Simplify -3*(((-2*sqrt(912) - sqrt(912))*4)/(-4*sqrt(432)*1))**2. -57 Simplify (1*sqrt(2240)*3)/(sqrt(1008) + sqrt(1008)*-2). -2*sqrt(5) Simplify (sqrt(130) + 1*(sqrt(130) - (sqrt(130)*-3 + sqrt(130)) - sqrt(130)))/(sqrt(1000) + -3*sqrt(1000) + sqrt(1000) - sqrt(1000)). -3*sqrt(13)/20 Simplify (sqrt(108)/(sqrt(4) - sqrt(1728)/sqrt(12)))/(sqrt(36) + (sqrt(36) - (sqrt(2916)*2 - sqrt(36)))). sqrt(3)/150 Simplify 5*(sqrt(931)*-6*-3 + sqrt(133)/(1*sqrt(175)))**2. 7565059/5 Simplify (3 + -5*(sqrt(216)*-1)/(sqrt(8) - -1*3*sqrt(8)))**2. 45*sqrt(3)/2 + 819/16 Simplify (1*(sqrt(12)/sqrt(4)*6 - (sqrt(3)*4 + -3)))**2 + 4. 12*sqrt(3) + 25 Simplify (-3 + sqrt(243) + sqrt(243)*2 + sqrt(243) - -6*(sqrt(1452) - (sqrt(1452)*-1 - sqrt(1452))))**2. -2592*sqrt(3) + 559881 Simplify (((sqrt(100) - (sqrt(100)*-2 + sqrt(100))*4)/sqrt(4))/(sqrt(40)/(sqrt(8) - sqrt(128)*-3)) + 3)**2. 390*sqrt(5) + 21134 Simplify (-2*sqrt(425) + 2 - (sqrt(612) + 1)*-5) + -5. 2 + 20*sqrt(17) Simplify 4*(-2 + (-1 + sqrt(1088))**2)*6*-5. -130440 + 1920*sqrt(17) Simplify (sqrt(88) + ((sqrt(88) - sqrt(88)*2) + sqrt(88) - sqrt(88))*-4 + -6*-1*sqrt(88))/(-2*sqrt(24)/sqrt(3) - (sqrt(800) - sqrt(800)*-1)). -sqrt(11)/2 Simplify (sqrt(2299)*-1 + 1)**2 + (1*(sqrt(2299) + -2) + sqrt(2299))**2 + -3. -110*sqrt(19) + 11497 Simplify (-5*4*sqrt(33))/(sqrt(704) + -4*sqrt(704) + sqrt(704)). 5*sqrt(3)/4 Simplify sqrt(56)/(sqrt(2) - 2*sqrt(2)) + 5 + sqrt(700). 5 + 8*sqrt(7) Simplify (-3*(-1 + sqrt(1100)*-1 + 3*(sqrt(1100) + sqrt(1100) + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-1 + sqrt(1100))))))*2)**2. -5760*sqrt(11) + 2534436 Simplify (6*sqrt(35)/(sqrt(245)*1)*-1*-4)**2. 576/7 Simplify ((((sqrt(475) + -2)**2 - sqrt(475)) + -3 - sqrt(475) - sqrt(475)) + sqrt(475) + 0 + 1)*2*3. -180*sqrt(19) + 2862 Simplify (-5*(sqrt(5) + sqrt(55)/sqrt(11)*-6) - (sqrt(35)/sqrt(63) + -5))**2. 740*sqrt(5)/3 + 27605/9 Simplify 0 + 1 + (2*(sqrt(648) - (sqrt(648) + 2)*-1))**2. 576*sqrt(2) + 10385 Simplify (sqrt(20)/sqrt(5)*-3)/(sqrt(242) + sqrt(242)*1). -3*sqrt(2)/22 Simplify (-2*sqrt(304))**2*6 + (sqrt(304) + -1)*3 + 4 + -5. 12*sqrt(19) + 7292 Simplify (sqrt(6) + sqrt(42)/sqrt(63) + sqrt(54)/(sqrt(18)/sqrt(2)))/(sqrt(9)/(sqrt(9)/sqrt(48))). 7*sqrt(2)/12 Simplify ((1 + -4*sqrt(700) + -4 + -1)*5)**2. 8000*sqrt(7) + 280400 Simplify sqrt(40)/sqrt(5) + -5 - (sqrt(6)/sqrt(3) + -2 + -5). sqrt(2) + 2 Simplify (sqrt(192) + sqrt(192) + sqrt(192) + (sqrt(192) - sqrt(192)*3) + sqrt(192) + sqrt(192) + 1)**2 - ((sqrt(15)/sqrt(5))**2 + 4 + 4). 48*sqrt(3) + 1718 Simplify 4 + 6*(-1 + sqrt(832) + (sqrt(832) - -1*sqrt(832)) + sqrt(832) + 1)*-6. -1152*sqrt(13) + 4 Simplify 2 + sqrt(162) + -1 + ((-1*sqrt(162) + sqrt(162))*-3 - sqrt(162)) + 2 + -1. 2 Simplify 3 + (-6*(sqrt(99)*2)**2 - -1*sqrt(99)*2). -2373 + 6*sqrt(11) Simplify (sqrt(294)*-2*2)/(sqrt(20)/(-2*sqrt(160)))*3. 672*sqrt(3) Simplify ((sqrt(312)*2*6)/sqrt(8))/(sqrt(27)/((sqrt(144)/
{ "pile_set_name": "DM Mathematics" }
10. Put 2, x, v in decreasing order. 2, v, x Let v = 644 + -639. Put 7, -2, -4, v in descending order. 7, v, -2, -4 Let r be 28/8*(-16)/(-28). Suppose 6*g - r*g + 16 = 0. Put g, -5/2, -2/11 in descending order. -2/11, -5/2, g Let t = 184.4 - 186. Sort 3/8, t, 0.08 in increasing order. t, 0.08, 3/8 Let s = 94 - 67. Let p be ((-3)/s)/(2/58). Let g = p - -25/9. Put -0.1, g, 1 in ascending order. g, -0.1, 1 Let g(a) = -a**3 + 5*a**2 - 5*a + 2. Let w be g(3). Let n(i) = -i**3 + 5*i**2 - i + 2. Let r be n(w). Put r, 18, 3 in descending order. 18, 3, r Suppose -h = 5*x - 21, -3 = -2*h - 1. Sort 3, x, 19 in ascending order. 3, x, 19 Let d be (-12)/70 + (4 - 88/20). Sort d, 2/77, -2 in ascending order. -2, d, 2/77 Let l = 513 - 510. Sort -21, -2, 2, l in increasing order. -21, -2, 2, l Suppose 4*j + 2*u + 0*u - 30 = 0, -j - u = -10. Suppose 8*d + 3 = 43. Suppose d*a = -w - 4*w, 2*w - 6 = a. Put -2, w, j in decreasing order. j, w, -2 Let a = 1.5 + 4.2. Let t = 10.7 - a. Sort 0.3, -0.4, t, -2/11 in descending order. t, 0.3, -2/11, -0.4 Suppose 20 = 5*t, -l - 3*t - t + 14 = 0. Let i = 20 + -17. Suppose 9*q - i*q + 30 = 0. Sort 5, q, l in decreasing order. 5, l, q Let d be ((-3)/9)/((-2)/66). Let v(g) = -6 + 15 + 14*g + 16 - d*g. Let u be v(-15). Put -2, -1, u in ascending order. u, -2, -1 Let q = -3923/4 + 981. Put 13, -7, -3/2, q in ascending order. -7, -3/2, q, 13 Let g = 317 - 3463/11. Let u = 133/66 - g. Sort 3/4, u, 1 in descending order. 1, 3/4, u Let x(n) = n**2 + 3*n - 4. Suppose -q - 6 = 3*q - 5*m, -2*m + 3 = -q. Let s be x(q). Put -28, s, -5 in descending order. s, -5, -28 Let l = 85 - 121. Let v = l + 35.6. Let o(c) = 2*c - 22. Let x be o(10). Sort x, -10, v. -10, x, v Suppose -2*s + 6*s + 4 = 0. Let b be (-4)/2 - (-3)/s. Suppose 0 = -148*p + 157*p - 18. Sort 3, p, b in descending order. 3, p, b Let m = -0.3 - -1.3. Let w be (-1)/(-3)*(-14)/35. Put w, 5/2, m in increasing order. w, m, 5/2 Let d = 0.034 - -0.886. Let n = -0.08 - d. Suppose -1 = 15*y - 31. Sort -4, y, n in increasing order. -4, n, y Let u = 0.86 - 0.06. Let j = u + -0.6. Let o = -0.6 + -0.4. Put 0, o, j in descending order. j, 0, o Suppose 4*v - 4*i + 4 = 0, -2*i = -3*v - 4 - 2. Let n be (v*(-2 + 3))/2. Sort 1, n, -5. -5, n, 1 Suppose -1 = 2*c + 5. Let k = 47 + -47. Suppose -4*p - 6 + 2 = 0. Sort p, c, k in descending order. k, p, c Let z = 0.941 - -1.059. Sort 1, z, -3, 53 in decreasing order. 53, z, 1, -3 Let p be (-16 - -15) + (-5)/(-8). Suppose 1 - 4 = -f. Let q = 1 - 3. Put f, q, p in decreasing order. f, p, q Let q(w) = -3*w - 29. Let t be q(-10). Suppose -3*h = -4 - 8. Put t, h, 3 in descending order. h, 3, t Let y(s) = s**3 + 12*s**2 + 7*s - 13. Let q be y(-11). Let j = 31 - q. Let u = -4 - -3.7. Put j, -7, u in ascending order. -7, u, j Suppose 2*a + 2*a + 4*p = 4, -3*a + 4*p = 25. Let i = 46 + -46. Sort -2, 4, i, a in descending order. 4, i, -2, a Suppose 0 = -43*q + 42*q + 3, -v = -5*q + 11. Sort v, 17, -2 in ascending order. -2, v, 17 Let a be (-4)/14 + (1992/14)/(-6). Let v be ((-2)/(-9))/(40/a). Sort -0.01, -3, v in ascending order. -3, v, -0.01 Let m be (10/(-4))/((-13)/26). Sort -11, m, 3. -11, 3, m Let h = -6.94 - -6.6. Let z = 0.74 + h. Sort -0.4, -1/4, z, 4. -0.4, -1/4, z, 4 Let f = -394 + 396. Suppose -3*j - 3 = -2*j. Put j, f, -11, 1 in ascending order. -11, j, 1, f Suppose 82*l = 98*l. Sort 1/273, l, 1/7, -0.1. -0.1, l, 1/273, 1/7 Suppose 28*a = 57 - 1. Sort 5, a, -1000 in decreasing order. 5, a, -1000 Let m = -171 - -175. Put m, 1, -4 in descending order. m, 1, -4 Let r be 14/(-6) + (-2)/(-6). Let g = 0 - r. Let y be -6*((-34)/(-4))/17. Sort g, -5, y in decreasing order. g, y, -5 Let u = -325 + 315. Sort -2, -4, u in descending order. -2, -4, u Suppose -3*h - 18 = -4*n - 68, 12 = 3*n. Suppose 0 = -5*o + 13 + h. Sort o, -2, -1 in descending order. o, -1, -2 Let a be (-4)/3*45/(-30). Let z be 0 - (-1 + (2 - a))*1. Sort 2, -1, 3, z in increasing order. -1, z, 2, 3 Let w = 142 - -5. Sort 5/4, w, -0.4, 3 in increasing order. -0.4, 5/4, 3, w Suppose 0 = 3*g + 5*x - 47, -5*g + 2 = -5*x - 143. Let a be 0/(-1) + (-18)/g. Let q = 2/63 - 16/63. Put a, q, -3 in ascending order. -3, a, q Let x = -153 + 151. Sort x, 3, 5, 0 in ascending order. x, 0, 3, 5 Let f(q) = q**3 + 4*q**2 - 3. Let j be f(-4). Suppose 5*r - i - 5 = -0, -3*r = -2*i - 10. Suppose 0 = -152*y - 277 - 483. Sort y, r, j in ascending order. y, j, r Let w = 0.11 + -1.11. Let m(g) = -g**3 + 4*g**2 + 50*g - 149. Let f be m(3). Sort 0, f, w in decreasing order. f, 0, w Let o = -937/3 - -313. Put 0.5, -4, o, 4 in descending order. 4, o, 0.5, -4 Let g = 19 - 20. Let y be 9/5*(g + 6). Let w(v) = -3*v + 22. Let h be w(y). Sort h, -3, -10 in decreasing order. -3, h, -10 Let q be (2/1)/(0 + -4). Let d = -1.2 + 0.1. Let i = -0.9 - d. Put q, i, 5 in decreasing order. 5, i, q Suppose 0*f = 4*f - 8. Suppose 56 = 6*y + f*y. Put -4, -3, y in descending order. y, -3, -4 Let i = -421 + 416. Put i, 0, -0.06, -6 in decreasing order. 0, -0.06, i, -6 Suppose -14*a + 13*a = -2. Let d be (-119)/(-21) - 2/3. Sort -7, d, a in descending order. d, a, -7 Let x be (-12)/54 + 52/(-9). Let i be 0 - 0 - (2 + x). Sort 14, 1, i in increasing order. 1, i, 14 Suppose -6*g = 95 + 13. Let w be 3/(-18) - 7/g. Sort w, 0.4, -4 in descending order. 0.4, w, -4 Let f = -1339 + 1334. Sort f, 2, 27, -1/7 in increasing order. f, -1/7, 2, 27 Let n = -25 - -20. Suppose 5*c - 3 = 8*c. Sort n, 1/6, 2/7, c in decreasing order. 2/7, 1/6, c, n Let t = -321.7 - -322. Let d be (-1)/2 + (-21)/(-6). Sort 5, t, -0.1, d in descending order. 5, d, t, -0.1 Let a be (3/(-351)*-3)/((-5)/(-30)). Let i(r) = r**3 + 4*r**2 - r - 2. Let u be i(-4). Suppose 5 - 11 = u*g. Sort g, a, 4 in descending order. 4, a, g Let m = -111.4 - -113.374. Let x = -0.026 - m. Put x, -1.1, -0.4 in decreasing order. -0.4, -1.1, x Suppose -5*v - 19 = 6. Put -1, 50, v in decreasing order. 50, -1, v Let g = 98 + -87. Suppose 7*r - 4*r = -3*v + 3, 0 = v + 3*r - g. Put 3, v, 2 in ascending order. v, 2, 3 Let z(b) = -b**3 + 9*b**2 - 15*b + 12. Let m be z(7). Sort -3, -1, m, 0 in ascending order. -3, -1, 0, m Let u = -2.02 - 2.98. Let i(n) = n**2 - 3*n + 1. Let p be i(2). Sort u, 1, p in ascending order. u, p, 1 Let z = 739 + -738.6. Let g = -3 + 0. Let m be ((-20)/(-105))/(2/g). Put 1/4, z, m in increasing order. m, 1/4, z Suppose -7 = -2*t + 5. Let l be t/(-2) - 0/8. Sort 15, 3, l in ascending order. l, 3, 15 Suppose -k = 2*q, -3*q - 5 = -2*q - 2*k. Let y be (-1 - q) + -4 + 20 + -21. Let n(d) = -2*d - 5. Let m be n(-4). Sort y, -3, m in decreasing order. m, -3, y Let x be 35/10 - (-3)/(-6). Suppose 6*f = x*f - 6. Sort 2, f, 4 in decreasing order. 4, 2, f Let f be 2/7 - (-29)/(-28). Let i = -3.02 + 0.28. Let z = -0.26 + i. Sort f, z, 3 in ascending order. z, f, 3 Let w = -3 - -1. Let m = -1111.8 + 1112. Put m, w, 2 in descending order. 2, m, w Let u = -232/669 + 3/223. Sort u, -0.02, 5 in ascending order. u, -0.02, 5 Let r = -1.4 + -0.6. Let c = r + 1.8. Let n = 2/213 + 205/852. Put c, 0.3, n in increasing order. c, n, 0.3 Suppose 5*f - q - 1 - 15 = 0, 5*f - 36 = -4*q. Put 12, 3, -5, f in decreasing order. 12, f, 3, -5 Let i be 640/240*(-6)/8. Sort i, -4, -10 in ascending order. -10, -4, i Let o = 52 + -100. Let v = -47.95 - o. Put v, 2/13, -4/5, -5 in decreasing order. 2/13, v, -4/5, -5 Let u = -87/68 + 1/34. Put u, 3, -5 in descending order. 3, u, -5 Suppose -3*k = -3 + 6. Sort 9, k, -4, -5. -5, -4, k, 9 Let j = 97 - 98. Put j, -2, -5, 1 in decreasing order. 1, j, -2, -5 Let m(q) = -2*q**2 + 8*q. Let r(n) = 3*n**2 - 8*n. Let a(v) = -4*m(v) - 3*r(v). Let s be a(-7). Let f = 9 - s. Sort f, 0, -6 in ascending order. -6, 0, f Let v = -5297/15 + 353. Let l(a) = -a**2 - 8*a - 3. Let b be l(-5). Let y be ((-12)/(-81))/(8/b). Sort v, y, -3/4 in decreasing order. y, v, -3/4 Suppose -39*v = -46*v - 7. Suppose 0 = -r + 7*q - 3*q - 9, 5*q - 9 = 2*r. Sort -5, v, r in decreasing order. r, v, -5 Let r = -0.5656 + 0.0656. Let u be (12/10)/(2/5). Put u, -1/6, 4/5, r in descending order. u, 4/5, -1/6, r Let w = -148 + 147.6. Let d = 0.01 + 0.03. Let j = d - -0.06. Sort -0.2, w, j. w, -0.2, j Let n = -1/123 + 91/1107. Sort -0.09, n, -1. -1, -0.09, n Suppose 4*k - 20 = 2*i, 0*i + i - 25 = -5*k. Suppose -2 = -i*
{ "pile_set_name": "DM Mathematics" }
= -15 + 39. What is the units digit of x? 4 Let n(t) = t**2 + 6*t + 3. Let p be n(-6). Let b = -1 - p. What is the units digit of ((-6)/b)/(3/12)? 6 Suppose -b = -2 - 13. Let z = 0 + 2. Suppose -2*i + z = 4*k, -2*i + 5*i = -b. What is the units digit of k? 3 Suppose -2*a + 4*q + 252 = 2*q, -4*a + 2*q + 502 = 0. What is the hundreds digit of a? 1 What is the tens digit of 6 - -80 - 3*2/(-3)? 8 Suppose 31*y = 32*y - 1. Suppose 25 = g + 4*g. Suppose -o + 4*j - y + 17 = 0, -g*j - 10 = 0. What is the units digit of o? 8 Let h(i) = i**3 + i**2 + i + 11. What is the units digit of h(0)? 1 Suppose 3*m - 4*m = -31. What is the tens digit of m? 3 Let d = -25 - -75. What is the units digit of d? 0 Suppose 0 = 2*n - n - 12. What is the units digit of -2 + 2 + n + 2? 4 Let f be (0 - -5)*544/80. Suppose -4*z = 4*i + z - 136, -i + z + f = 0. What is the tens digit of i? 3 Let s be 534/(-24) + 2/8. Let w = s + 49. What is the units digit of w? 7 Suppose 0*f - 47 = 4*z + 3*f, 5*z + 53 = 2*f. Let w = z + 16. What is the units digit of w? 5 Let n(j) = j**2 + j + 1. Let c be n(-1). Let r(s) = s**2 - 2*s + 2. Let x be r(2). Let a = x + c. What is the units digit of a? 3 Let u(d) = -d**2 - 7*d + 2. Let b = 9 - 15. Let s be u(b). Let p = s + -6. What is the units digit of p? 2 Let k = 15 + -11. Suppose -k*r - 11 = -43. What is the units digit of r? 8 Let j be (2 + 0)*65/10. Suppose 5*v = 2*z + 109, -4*v - 3*z + 86 = -4*z. Let y = v - j. What is the units digit of y? 8 Let h = -4 - -5. Let f = 5 + h. What is the units digit of f? 6 Suppose -3*z = 70 - 226. What is the tens digit of z? 5 What is the units digit of -2*(-5)/(40/36)? 9 Let h be 1 - 1*1*-3. Let c be 1/h + (-2)/8. Suppose 2*l + c*l = -10, -2*b + 3*l + 19 = 0. What is the units digit of b? 2 Let a(y) = -y**3 + 5*y**2 - 2*y + 3. What is the tens digit of a(3)? 1 Suppose 2*d = -14 + 6, d + 1 = j. Let p(b) = 9*b + 9. Let o(w) = -w - 1. Let a(t) = j*p(t) - 24*o(t). What is the units digit of a(-4)? 9 Let i(z) = -4*z - 3. Let m be i(-7). Suppose 2*h = -3 + m. What is the tens digit of h? 1 Let z = 132 - -62. What is the hundreds digit of z? 1 Let u(p) = -p + 2*p - 3 - 7*p + p. Let m be u(-3). Suppose 0*r + m = 2*r. What is the units digit of r? 6 Suppose -5*l + 3*g + 32 = 0, -l - 2*g = 3*l - 8. What is the units digit of (-2)/1*(-8 + l)? 8 Suppose -3*p = -6*p - 189. Let a = -30 - p. What is the tens digit of a? 3 Suppose y - 3 = 0, k - 3*y = -12 - 1. Let c = -8 + 11. What is the units digit of k/(-2) - (c - 3)? 2 Let k(r) = -4*r - 3*r - 3*r**2 + 2*r**2 + 12. What is the units digit of k(-5)? 2 Suppose -63 - 52 = -h + 5*i, -2*i = h - 129. What is the hundreds digit of h? 1 Suppose -4*n + r = -804, n = r + 179 + 19. What is the units digit of n? 2 Let c = 10 - 6. Let f = c - 2. Suppose -11 = -f*n + 5*i, -n - 4*i + 19 = -6. What is the tens digit of n? 1 Suppose 7*p - 58 = 103. What is the tens digit of p? 2 Let h be 0 - 2 - 12/(-3). What is the units digit of h - -1 - (-2 + 4)? 1 Suppose 0 = -q - q - 3*v + 205, 300 = 3*q + 3*v. Suppose i = 4*l + 41, -2*l + 0*l = 5*i - q. What is the units digit of i? 1 Suppose k + 92 = -3*c + 6*c, -10 = 2*k. Suppose -3*y + 5*x + c = -2*y, -2*x + 2 = 0. Let r = -18 + y. What is the units digit of r? 6 Let j(f) = -33*f**3 - 2*f - 1. What is the units digit of j(-1)? 4 Let u(o) = o + 5. Suppose 2*h = -4*g, -12 = -2*g + 4*h - 32. Let b = -2 + g. What is the units digit of u(b)? 1 Suppose -30 = 6*s - 162. What is the units digit of s? 2 Let h(b) = -8*b**2 + b + 1. Let z be h(-1). Let d(t) = -t - 1. Let x be d(0). What is the units digit of -2 + (-1 - x) - z? 6 What is the tens digit of (3 - (-54 - -4))/1? 5 Let y(g) = g**3 + g**2 - 2*g - 3. Let l be y(-3). Let i(q) = 24*q**2 - q. Let t be i(1). Let v = l + t. What is the units digit of v? 8 Suppose -3*f + 5*z + 123 = 0, z - 3*z = -2*f + 78. What is the tens digit of (1/2)/(1/f)? 1 Suppose 0 = -3*b - 2*b + 3*a + 32, -3*b - 4*a - 4 = 0. Let g be b/(-22) - (-204)/33. What is the units digit of 40/g*(-9)/(-6)? 0 What is the tens digit of (1 + 28)*(-4 - -5)? 2 What is the units digit of 1/(((-10)/156)/(-5))? 8 Let m = 26 - 79. What is the tens digit of m/(-5) + 4/10? 1 Suppose 3*w - 54 = -2*d - 2*d, 3*d - 35 = -2*w. What is the tens digit of w? 2 Let w(u) = 2*u - 3. Suppose 3*p = 4*r + 17, 5*p - 2*r + r - 17 = 0. Let m = -1 + p. What is the units digit of w(m)? 1 Let q(u) = -u**2 + 6*u + 2. Let i be q(5). Let x = -6 + i. What is the units digit of x? 1 Let o = 8 - 8. Let m(p) = -p**2 - 5*p - 2. Let x be m(-3). Suppose o*k = -x*k + 76. What is the units digit of k? 9 Suppose 4*k = -4*y + 168 + 36, -3*k + 4*y = -132. What is the units digit of k? 8 Suppose 2*g - g = y - 39, -y = g + 41. What is the tens digit of (-5)/(g/(-44) - 1)? 5 Suppose 4*r = 27 + 9. What is the units digit of r? 9 Suppose -2*q = 4*l - 30, -5*l + 4*l = 5*q - 3. Suppose -4*d - 3*k = -l*k - 104, -d + 5*k = -26. What is the tens digit of d? 2 What is the units digit of (-10)/(-4)*(-1628)/(-55)? 4 Let y(m) = m - 6*m - m - m**2. Let s = -26 + 21. What is the units digit of y(s)? 5 Suppose 3*y - 34 = -5*n + 3*n, -21 = -2*y - 3*n. Let l be y*(-6)/(-8)*-7. What is the units digit of (-1)/(-2) + l/(-6)? 1 Suppose 4*r = 9*r. Suppose n - 2*n + 8 = r. What is the units digit of n*((-9)/(-6) + -1)? 4 Suppose -4*m + 8 = -4*g + 2*g, -m + 2 = 0. Let b = g + 5. What is the units digit of b? 5 Let q be 4/8*(-88)/(-2). Let k = -9 + q. What is the tens digit of k? 1 Let g = -116 + 128. What is the tens digit of g? 1 Suppose 7*r - 57 = 6*r. What is the tens digit of r? 5 Let t(n) = -n + 11. Suppose 0 = 4*g - m - 25, -6*m - 5 = -m. Let f be t(g). Suppose -3*k + f*k - 8 = 0, 4*i = -2*k + 28. What is the units digit of i? 5 Let c(m) = -5*m**3 + m**2 + 2*m + 1. Suppose 2*a - 3*a = 1. Let y be c(a). Suppose -4*t + 2 = -2*u + 28, y*u = -2*t + 29. What is the units digit of u? 7 Let a = 400 + -186. What is the hundreds digit of a? 2 Let r be (-6)/24 + 918/(-8). What is the tens digit of (-3 - -2)/(5/r)? 2 Let o(w) = 23*w - 2. What is the units digit of o(2)? 4 Let n = 238 - 93. What is the units digit of n? 5 Suppose -274 = -4*r - 78. What is the units digit of r? 9 Let v(p) = -p**3 + 2*p**2 + p + 327. What is the units digit of v(0)? 7 What is the hundreds digit of (-3 + 42/12)*202? 1 Let i = 31 + -18. Let y = i - 0. What is the tens digit of y? 1 Suppose -8*g + 4*g = -3*c - 813, g + 4*c - 189 = 0. Suppose -i - 195 = -4*h, 6*h - 3*i - g = 2*h. What is the units digit of h? 8 Suppose 0 = z + 1 - 4. Suppose 9 + 15 = 4*d. Let a = d - z. What is the units digit of a? 3 Suppose m - 12 - 1 = -3*z, z + 49 = 5*m. Let l = m + 0. What is the units digit of l? 0 Let y = 43 + -12. Let o = y - 16. What is the tens digit of o? 1 Let m = 43 - -67. What is the hundreds digit of m? 1 Let m(w) = 3*w**2 + 8*w - 6. What is the tens digit of m(-5)? 2 Let g(n) = -15*n - 17. Let i(f) = -5*f - 6. Let d(v) = 3*g(v) - 8*i(v). Let x(k) = -k**2 + 7*k + 6. Let b be x(8). What is the units digit of d(b)? 7 Let v = 3 + -3. Suppose v*g - 5*g = 35. Let a = g - -16. What is the units digit of a? 9 Let b(o) = -o**2 + 3*o + 9. Let s be b(-9). Let x be (-4)/1*s/(-12). What is the units digit of (-6)/(-15) - x/5? 7 Let h = -218 - -345. Suppose -3*f = -h + 4. What is the tens digit of f? 4 Let t = -2 + -1. Let l = -2 - t. What is the units digit of l? 1 Let d(l) = -21*l**2 + l - 1. Let q be d(1). Let i = q - -40. What is the units digit of i? 9 Let j(z) = -z**3 + 2*z**2 + z - 7. What is the units digit of j(-3)? 5 Suppose 5*n + 38 = -2*r, 5*n - 9 + 29 = 0. Let g be -2*(r/6 + -2). Suppose v - 2*q = -g + 17, -10 = -v - 3*q. What is the tens digit of v? 1 Let q(t) = -5*t + 5. Let z(o) = -4*o + 5. Let w(f) = -5*q(f) + 6*z(f). Let x(y) = -3*y - 15. Let u(a) = -8*w(a) - 3*x(a). What is the units digit of u(-4)? 1 Let r(f) = 6*f - 3. Let h be r(9). Suppose -4*q + 93 + h = 0. What is the tens digit of q? 3 Let l be 1 - 2*1/(-1). Suppose l*x + 4*k = 9 + 12, -4*x = k - 15. Suppose -3*i + 0 = -x. What is the units digit of i? 1 Suppose -c = 4*c. Suppose c = -0*v + 3*v - 2*m - 25, v - 4*m - 5 = 0. What is the units digit of v? 9 Let q(j) = -5*j**3 - 7*j**3 + 2*j - j - 2*j. Let x be q(1). Let y = x + 21. What is the units digit of y? 8 Let f(
{ "pile_set_name": "DM Mathematics" }
picked without replacement from vtssstssssustsvuu. 9/680 Calculate prob of picking 2 p when two letters picked without replacement from {f: 4, p: 2}. 1/15 Calculate prob of picking 1 g and 3 n when four letters picked without replacement from nvqgfnn. 1/35 Four letters picked without replacement from chhniiichiiiiihhxhi. Give prob of picking 2 h, 1 n, and 1 x. 5/1292 Two letters picked without replacement from zszssssdsddssd. What is prob of picking 2 s? 4/13 What is prob of picking 1 r and 1 u when two letters picked without replacement from {o: 9, k: 4, r: 1, u: 2}? 1/60 Two letters picked without replacement from {h: 2, r: 7}. What is prob of picking 1 r and 1 h? 7/18 Two letters picked without replacement from elppeypppe. What is prob of picking 2 p? 2/9 Calculate prob of picking 1 s and 1 g when two letters picked without replacement from snkggivis. 1/9 What is prob of picking 1 n and 1 y when two letters picked without replacement from {n: 1, u: 3, y: 1, r: 10}? 1/105 Two letters picked without replacement from tvttkkokkk. What is prob of picking 1 v and 1 o? 1/45 Two letters picked without replacement from {b: 2, t: 5, m: 4, y: 1, q: 2}. Give prob of picking 1 b and 1 y. 2/91 What is prob of picking 1 f, 1 w, and 2 p when four letters picked without replacement from {e: 2, f: 6, p: 4, n: 3, w: 3}? 3/85 Three letters picked without replacement from omoomoymymoommmoyy. Give prob of picking 2 m and 1 o. 49/272 Two letters picked without replacement from {e: 2, c: 1, p: 2, i: 6, f: 5}. Give prob of picking 1 e and 1 i. 1/10 Three letters picked without replacement from ecceccce. What is prob of picking 3 c? 5/28 What is prob of picking 2 u when two letters picked without replacement from uuguuuuuuguguu? 55/91 What is prob of picking 3 m when three letters picked without replacement from mwommtmmtmktmkwmkttw? 14/285 What is prob of picking 3 h when three letters picked without replacement from ggjgghghhghvgggj? 1/140 Four letters picked without replacement from {r: 5, t: 2}. Give prob of picking 1 t and 3 r. 4/7 What is prob of picking 1 l and 2 q when three letters picked without replacement from llqqlqlllqlqllqlll? 15/68 What is prob of picking 3 m when three letters picked without replacement from {m: 7, w: 7}? 5/52 Two letters picked without replacement from fambmkb. Give prob of picking 1 a and 1 m. 2/21 What is prob of picking 2 r and 2 l when four letters picked without replacement from {e: 6, l: 3, r: 3, w: 1, y: 5, o: 1}? 3/1292 What is prob of picking 1 f and 1 u when two letters picked without replacement from ovffffufu? 5/18 Calculate prob of picking 1 z, 1 c, and 1 t when three letters picked without replacement from {c: 4, t: 2, z: 3}. 2/7 Two letters picked without replacement from hhnmznv. Give prob of picking 1 v and 1 n. 2/21 Two letters picked without replacement from {r: 2, g: 3, u: 1, q: 1, i: 1, t: 5}. What is prob of picking 1 q and 1 g? 1/26 Four letters picked without replacement from {b: 4, v: 4, x: 2, a: 2}. Give prob of picking 1 a and 3 v. 8/495 What is prob of picking 1 g and 1 s when two letters picked without replacement from fjgqs? 1/10 What is prob of picking 1 c, 1 r, 1 h, and 1 n when four letters picked without replacement from {r: 1, h: 4, n: 1, c: 2, b: 1}? 4/63 Two letters picked without replacement from {q: 1, g: 1, u: 1, s: 1, a: 1, n: 2}. Give prob of picking 1 a and 1 s. 1/21 Three letters picked without replacement from {z: 6, l: 2, q: 7, t: 1, h: 2}. Give prob of picking 2 q and 1 l. 7/136 Three letters picked without replacement from uuuuuuuuuxuuuxuxuxuu. Give prob of picking 1 x and 2 u. 8/19 Four letters picked without replacement from {m: 2, q: 1, o: 2, j: 1}. Give prob of picking 2 m, 1 o, and 1 q. 2/15 Calculate prob of picking 1 e, 1 b, and 1 t when three letters picked without replacement from {t: 1, v: 1, b: 1, k: 2, e: 1, w: 2}. 1/56 Two letters picked without replacement from {g: 2, c: 1}. What is prob of picking 1 g and 1 c? 2/3 Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 2, y: 4, o: 1}. 8/21 Two letters picked without replacement from {c: 1, x: 2, i: 1, o: 1, b: 1, s: 2}. What is prob of picking 1 c and 1 b? 1/28 Four letters picked without replacement from {x: 2, e: 4, f: 1, a: 3, p: 1, k: 1}. What is prob of picking 1 f, 2 x, and 1 p? 1/495 Calculate prob of picking 1 q, 1 c, and 1 o when three letters picked without replacement from oocqoycoccooyoccqco. 112/969 Calculate prob of picking 4 f when four letters picked without replacement from {j: 14, f: 5}. 5/3876 Two letters picked without replacement from {q: 2, x: 1, f: 1, e: 1, g: 1, h: 1}. What is prob of picking 1 g and 1 h? 1/21 Four letters picked without replacement from viquuqcvuqcuiz. What is prob of picking 2 v and 2 c? 1/1001 Calculate prob of picking 1 s and 1 x when two letters picked without replacement from gskmdxgxdxg. 3/55 Calculate prob of picking 2 q and 2 y when four letters picked without replacement from iyqqiyrioky. 1/110 Two letters picked without replacement from suqqomqqm. Give prob of picking 1 m and 1 q. 2/9 Four letters picked without replacement from zybzfzfzz. Give prob of picking 1 b, 2 f, and 1 y. 1/126 What is prob of picking 1 l and 2 o when three letters picked without replacement from reoglwe? 0 What is prob of picking 1 z, 1 j, and 1 g when three letters picked without replacement from {r: 1, z: 1, u: 3, g: 2, q: 3, j: 2}? 1/55 Four letters picked without replacement from llllllllll. What is prob of picking 4 l? 1 What is prob of picking 1 b and 1 w when two letters picked without replacement from bbwwnwbnwwwb? 4/11 Four letters picked without replacement from tfttft. What is prob of picking 3 t and 1 f? 8/15 Three letters picked without replacement from {v: 2, h: 5}. Give prob of picking 2 h and 1 v. 4/7 What is prob of picking 2 h when two letters picked without replacement from hkh? 1/3 Calculate prob of picking 3 w when three letters picked without replacement from {w: 4}. 1 Two letters picked without replacement from {f: 1, w: 3, g: 3, n: 6}. Give prob of picking 1 w and 1 f. 1/26 Two letters picked without replacement from {n: 2, q: 1, m: 1, b: 3, y: 3, v: 2}. Give prob of picking 1 n and 1 y. 1/11 Two letters picked without replacement from qqqqfqutqquqf. Give prob of picking 1 q and 1 f. 8/39 Three letters picked without replacement from uuuvuuuuuv. What is prob of picking 1 v and 2 u? 7/15 What is prob of picking 2 h when two letters picked without replacement from {d: 6, h: 6, c: 1, i: 5}? 5/51 Three letters picked without replacement from tjjjattatjjtaajataa. Give prob of picking 3 t. 20/969 Three letters picked without replacement from rwjordnn. Give prob of picking 1 w and 2 r. 1/56 Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, j: 1, o: 2}. 1/6 Three letters picked without replacement from {z: 3, h: 13}. Give prob of picking 3 h. 143/280 Four letters picked without replacement from nbngunnunsgsss. What is prob of picking 1 s, 1 n, 1 b, and 1 u? 40/1001 What is prob of picking 1 r, 2 n, and 1 c when four letters picked without replacement from {a: 1, n: 3, r: 5, e: 2, c: 1}? 1/33 Calculate prob of picking 2 v, 1 g, and 1 h when four letters picked without replacement from {h: 4, g: 6, f: 1, m: 2, l: 3, v: 4}. 48/1615 Two letters picked without replacement from vaaccfxwf. What is prob of picking 2 a? 1/36 Two letters picked without replacement from {f: 4, k: 10, d: 2, n: 3}. Give prob of picking 2 k. 5/19 Two letters picked without replacement from {f: 3, k: 4, m: 6, y: 1, w: 2}. What is prob of picking 2 m? 1/8 Two letters picked without replacement from {m: 4, q: 1, y: 2, j: 2}. Give prob of picking 1 j and 1 y. 1/9 What is prob of picking 1 t and 1 o when two letters picked without replacement from {h: 2, n: 2, p: 1, t: 1, o: 1}? 1/21 Calculate prob of picking 1 s, 1 w, 1 f, and 1 p when four letters picked without replacement from ppcrfswscfpc. 4/165 Two letters picked without replacement from itcinngkiiin. What is prob of picking 1 i and 1 c? 5/66 Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {l: 1, t: 1, j: 2, i: 1, w: 2, x: 1}. 1/28 Three
{ "pile_set_name": "DM Mathematics" }
alse Is 10885907 composite? False Is 680462171 a composite number? False Is 241754251 a prime number? True Is 48605069 a prime number? False Is 21484621 a composite number? True Is 7251753 composite? True Is 345407 a prime number? False Is 78640073 a prime number? True Is 3577597 composite? False Is 32053573 a composite number? False Is 2663231 prime? True Is 573673 composite? False Is 5209889 prime? True Is 10673023 composite? True Is 4497271 prime? True Is 30553 a composite number? False Is 2122793 composite? False Is 205910609 a prime number? True Is 12013921 a composite number? True Is 1931261 a prime number? True Is 69270331 composite? True Is 352757447 prime? False Is 124886101 composite? False Is 189220117 composite? False Is 6147563 prime? True Is 3865733 composite? False Is 920729 prime? True Is 482131 prime? False Is 4090393 composite? True Is 19272709 composite? False Is 6909709 prime? True Is 8678639 composite? False Is 994427 composite? True Is 2545999 composite? True Is 222785549 composite? True Is 7381678 a composite number? True Is 22453211 a composite number? True Is 3560449 composite? True Is 23696707 a prime number? True Is 20956129 a prime number? True Is 22863986 composite? True Is 812387 composite? False Is 6362887 a prime number? True Is 15072349 a prime number? True Is 18657211 prime? False Is 6406055 prime? False Is 120502 composite? True Is 232241423 prime? True Is 67023779 composite? False Is 191160533 a composite number? False Is 34109741 prime? False Is 19155157 prime? False Is 53466505 composite? True Is 5449811 prime? True Is 1656371 a prime number? False Is 49695293 prime? False Is 221352091 composite? False Is 495058 a composite number? True Is 7699771 prime? False Is 264587 a prime number? False Is 39965557 a prime number? False Is 26856587 prime? False Is 569583187 a composite number? True Is 195649067 composite? False Is 109081121 a composite number? True Is 319295297 a prime number? False Is 12873149 composite? 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False Is 2403651 prime? False Is 6945637 prime? True Is 76127563 prime? True Is 6230839 a prime number? False Is 2163877 composite? True Is 16930981 a prime number? False Is 2647069313 a prime number? False Is 12843599 composite? False Is 53982893 composite? False Is 3045059 composite? True Is 110879 composite? False Is 189288479 prime? False Is 10296571 a prime number? False Is 13100827 a composite number? True Is 2529377 a composite number? True Is 110729 a prime number? True Is 44067269 a prime number? False Is 11846477 prime? True Is 30209681 a prime number? True Is 7275101 prime? False Is 235188617 prime? False Is 136734259 a composite number? False Is 769382 prime? False Is 48519607 a prime number? False Is 31797433 a composite number? True Is 14351173 a prime number? True Is 4518109 a composite number? False Is 4585205 a composite number? True Is 35110697 a composite number? False Is 3847251 a composite number? True Is 323233653 a composite number? True Is 27834463 composite? True Is 37347809 a composite number? False Is 49433431 prime? False Is 74592241 a prime number? True Is 606113 a composite number? False Is 13171493 a composite number? True Is 85999733 a composite number? True Is 11635489 composite? True Is 74452579 composite? False Is 25037671 a prime number? True Is 19848193 prime? True Is 658859 prime? False Is 6135667 a composite number? False Is 12721789 composite? False Is 148103873 a prime number? True Is 281173 composite? True Is 66679019 prime? False Is 22806781 composite? False Is 67565983 a composite number? True Is 155388263 a composite number? False Is 208796153 composite? False Is 53544889 composite? False Is 428463433 a composite number? True Is 5261977 a prime number? False Is 16871 composite? False Is 1210631 a prime number? True Is 3032149 a composite number? False Is 9149453 prime? False Is 14645123 prime? True Is 2987911 composite? False Is 5030653 composite? False Is 22302173 a composite number? True Is 9065867 composite? False Is 17244947 a prime number? True Is 36442279 prime? True Is 54755677 composite? False Is 2450629 composite? False Is 600938447 prime? True Is 70594441 composite? True Is 418219331 a prime number? True Is 23897899 prime? True Is 130387591 composite? True Is 157031 composite? True Is 259479097 a composite number? True Is 16044785 prime? False Is 10957169 composite? False Is 3523711 prime? True Is 10331513 prime? True Is 20852309 a composite number? False Is 2592271 a composite number? True Is 247016197 prime? True Is 315766705 prime? False Is 24724807 a prime number? True Is 6002669 a prime number? True Is 2014451 a composite number? True Is 220053 composite? True Is 5509469 composite? True Is 2226811 composite? False Is 1875521 a composite number? False Is 21114127 prime? True Is 531931 prime? False Is 25188347 a prime number? True Is 6357751 prime? True Is 12035759 a prime number? False Is 171502 a prime number? False Is 17693833 a composite number? False Is 72860737 prime? True Is 14173307 a prime number? True Is 17358641 a composite number? False Is 26762059 prime? True Is 4192651 a composite number? True Is 880769 prime? False Is 5446333 composite? True Is 19344613 composite? True Is 11550113 composite? False Is 2105509 composite? True Is 1402403 a prime number? False Is 7349101 composite? False Is 2770883 a prime number? True Is 6949903 a prime number? False Is 3006529 composite? False Is 78168169 a composite number? False Is 4813309 a composite number? False Is 2147573 composite? True Is 3943517 a prime number? True Is 1984133 prime? True Is 21498518 a composite number? True Is 92099237 a composite number? True Is 1387655 a composite number? True Is 665813 composite? False Is 576713777 a prime number? True Is 13743901 composite? False Is 25398409 a composite number? False Is 605329 a composite number? False Is 314707 composite? False Is 244217 composite? False Is 10480831 a composite number? False Is 91491391 a composite number? True Is 3354553 prime? True Is 35575219 a prime number? True Is 974869 a composite number? True Is 128577263 a composite number? False Is 502966109 prime? True Is 2568539 a composite number? True Is 177029 a composite number? True Is 819479437 composite? True Is 1023521 a composite number? False Is 25742615 a prime number? False Is 5682073 prime? True Is 1343503 composite? True Is 101508371 a composite number? True Is 171248617 a prime number? False Is 415951433 composite? False Is 52863791 composite? True Is 2259269 a prime number? False Is 246233681 composite? True Is 10262123 prime? True Is 8678333 a composite number? False Is 9637991 a prime number? False Is 147083509 composite? False Is 13319791 prime? True Is 74516923 a prime number? False Is 438439 a composite number? False Is 2022191 composite? False Is 113320939 prime? True Is 11450669 composite? False Is 2896249 composite? True Is 31665031 a prime number? True Is 12066797 a composite number? False Is 375743 prime? True Is 15922457 composite? False Is 142353635 a composite number? True Is 19200677 prime? False Is 1975279 a composite number? False Is 108627811 a composite number? True Is 882888157 composite? False Is 10986181 a prime number? False Is 12287029 a composite number? True Is 10191
{ "pile_set_name": "DM Mathematics" }
common denominator of -85/8 and o? 72 Let u = -254 + 144. Let t = u + 116. Calculate the smallest common multiple of 10 and t. 30 Suppose -23 = -8*i + 1. Suppose -r + 21 = i*n, -4*r = -4*n + 6 + 6. Calculate the lowest common multiple of n and 24. 24 Let y(k) = 71 - k**2 + k - 28 - 37. Calculate the smallest common multiple of y(2) and 20. 20 Suppose 4*x - 4 = 6*x. Calculate the least common multiple of 4*(-9)/(-3)*x/(-3) and 17 + 0 + -2 + -1. 56 Suppose 18*y = 22*y - 48. Calculate the least common multiple of 18 and y. 36 Suppose -5*v + c = -25, -2*c + c = 5. Calculate the lowest common multiple of 520 and v. 520 Let b = -464773/30 + 15491. Calculate the common denominator of b and -29/55. 330 Let h = -4793/2010 - -28/67. What is the common denominator of h and 101/6? 30 Let c(f) = -f**3 + 2*f**2 + 3*f. Let i be c(3). What is the common denominator of -2 + (14/35)/((-32)/808) and (-1 - i) + 86/12? 30 Let l = 811147/132 - 6145. What is the common denominator of 82/21 and l? 924 What is the common denominator of (97/6)/(0 - -1) and 13 - ((-755)/(-35) + -7)? 42 Let d = 22783/30 - 3693/5. Suppose 0 = -4*f + 52 + 68. Find the common denominator of (-1)/(-2) + (-18)/f and d. 30 Find the common denominator of (1/250)/((-8)/(-830)) and -51/20. 200 Suppose 52 = -8*a + 196. Calculate the smallest common multiple of 12 and a. 36 Find the common denominator of 79/126 and (-145)/14 + (-20 - -30) + -8. 126 Suppose -3*m - m = 2*i + 4, -i - 11 = 5*m. What is the least common multiple of 60 and i? 60 Suppose 4*g = 5*m + 67, 9*m - 6*m + 55 = -5*g. Calculate the common denominator of -93/8 and ((-1280)/(-450))/((-6)/m). 72 Suppose 12 - 57 = 5*g. Find the common denominator of g/(-63) - 181/(-56) and -61/22. 88 Let o(w) = -w**3 - 5*w**2 + 3*w - 7. Let x be o(-5). Let r = 40 + x. Let p(j) = j**2 - 3*j + 6. Calculate the least common multiple of p(4) and r. 90 What is the common denominator of (-117)/(-90) + (1 - 16/20) and -35/44? 44 Let h = 64 + -44. Let p = 1 - -39. Let s = 42 - p. What is the lowest common multiple of h and s? 20 Let f = -226903/16 + 14186. What is the common denominator of 12/16 - (-867)/180 and f? 240 Let v = 1/1152 + -4465/1152. Suppose 0 = -2*b + 161 + 211. Let t = -566/3 + b. Calculate the common denominator of t and v. 24 Suppose -2*t + 1 = -5. Let q(s) = -s**2 - 8*s**3 - 2*s**2 + 7*s**t + 4. What is the lowest common multiple of 20 and q(-4)? 20 Let t = -3127078 - -5409845159/1730. Let u = 103087/176460 + t. Find the common denominator of 11/18 and u. 612 Let s = -58/401 - 43351/8020. Find the common denominator of -67/28 and s. 140 Let a = 36909 - 2325199/63. Let u = -2843/213 + 1/71. Find the common denominator of u and a. 63 Let p = 71533/16 - 4477. Find the common denominator of 93/28 and p. 112 Let x = 16 - 23. What is the lowest common multiple of ((-144)/(-168))/((-2)/x) and 42? 42 Suppose j + 2*r - 68 = 0, -340 = j - 6*j + 4*r. Calculate the smallest common multiple of 2 and j. 68 Let m(x) = -2*x - 6. Let r be m(-6). What is the least common multiple of 129/9 - (-3)/(-9) and 39/r - 1/2? 42 Suppose 5*t = 11 + 99. Let s(z) = -z**3 - z - 5. Let a be s(0). What is the lowest common multiple of t and (a - 1)/(-3) - -6? 88 What is the common denominator of (-1119)/180 + (-4)/(-6) and (-1254)/396 + (-2)/((-2)/5)? 60 Find the common denominator of (-79)/4*(-4)/(-344) and -93/8. 344 Suppose -3*p - 2*j + 10 = 0, p + 4*j + 0*j - 10 = 0. Let n(k) = -47*k**2 - 2*k + 3. Let u be n(p). Find the common denominator of -22/5 and ((-1)/(-3))/(14/u). 10 Suppose 4*w = 16, 2*w = -7*d + 4*d - 13. Let a = d + 23. Let s = -7 + 27. Calculate the least common multiple of a and s. 80 Let l = 8015/103248 + -1/432. Let h = l + -5641/1912. Let w = -263/119 + -5/34. What is the common denominator of h and w? 56 Suppose 3*n = -i - 93, -2*n = -0*n + i + 62. Let o = 155995/6324 + -1/2108. What is the common denominator of o and (n/(-2))/((-20)/(-12))? 30 What is the common denominator of 6 + -1 + 3498/(-540) and -41/27? 270 Suppose 4*o + 1016685 = -o. Let c be o/(-20) + (-11)/(-44). Let s = c - 10179. What is the common denominator of 125/6 and s? 30 Let n be ((-4089)/6)/(959/(-19)). Let d = n + -2/959. What is the common denominator of (7/(-28) - (-43)/12)/(-3) and d? 18 Suppose 14 + 64 = 13*r. Calculate the lowest common multiple of 74 and r. 222 Suppose 0 = 23*z - 40 - 581. Calculate the lowest common multiple of z and 87. 783 Let w = 129 + -125. What is the least common multiple of 8 and w? 8 Suppose 8 + 36 = -2*q. Let v be (25/q - -1)*56519. Let m = 7709 + v. Find the common denominator of m and 13/20. 220 Let d = 2355/4 + -591. Find the common denominator of d and 125/12. 12 Let t(v) = -v**3 + 11*v**2 - 10*v - 2. Let d be t(10). Find the common denominator of -115/6 and d/11 - (-2766)/693. 42 Let l(r) = r**2 + 11*r + 31. Let a be l(-8). Suppose -9*z + a*z + 14 = 0. What is the smallest common multiple of 6 and z? 42 What is the common denominator of 9/85 and (-8)/10 - (-2684)/2090? 1615 Let c(g) = g**3 - 6*g**2 + 2*g + 2. Let v(a) = -a + 3. Let y be v(-3). Let f be c(y). Suppose -t + f = t. What is the lowest common multiple of 4 and t? 28 Let s(v) = -37 + 5*v**2 + 2 - 2*v**2 - 2*v**2. What is the smallest common multiple of s(-7) and ((-2)/4)/(2/(-20))? 70 Let w = -22987 + 689783/30. Let i = 9711 - 116635/12. What is the common denominator of i and w? 60 Let q(b) = -2*b**2 + 48*b + 10. Calculate the least common multiple of 12 and q(24). 60 Let l = -6159/38 + 162. Calculate the common denominator of 17/22 and l. 418 Calculate the lowest common multiple of (-2)/2 + 41 + -33 and 35. 35 Let z = -10019/5352 - 2/669. Find the common denominator of 47/446 and z. 1784 Let v = 28 - 10. Suppose -92 = -5*r + 3*y, y + v + 18 = 2*r. What is the least common multiple of 28 and r? 112 Let b = 62 - 32. Suppose 2*u + 5*y - 2 = 26, -u = -2*y - 5. Calculate the least common multiple of b and u. 90 Let s be (-270)/(-20)*(-4)/(-1). What is the smallest common multiple of 10/3*s/45 and ((-10)/(-3))/((-2)/(-6))? 20 Suppose -3*w = 3*c - 3, -2*w = -5*c - 4*w + 2. Let n = c + -8. Calculate the common denominator of 195/42 + (-4)/n and 71/3. 21 Let u = -330447471549815/42746 - -7730488739. Let o be ((-4)/(-19430))/((-4)/20). Let q = u + o. Calculate the common denominator of q and 15/16. 176 Let k = -1142 - -17149/15. What is the common denominator of 127/108 and k? 540 Let d be 1*-30*1/(-2) + -3. What is the common denominator of (166/(-324))/(4/d) and 23/6? 54 Let p = 124111/76 - 1633. What is the common denominator of (157/(-2) - -2)*49/1470 and p? 380 What is the common denominator of ((-708)/42)/(-4*6/42) and 41/650? 650 Let d = -9 - -11. What is the common denominator of 175/(-80)*d + -4 and -14/5? 40 Suppose -r - 2 + 4 = 0. Suppose 5*h = p + 145, -3*p - 3*h + r*h - 387 = 0. What is the common denominator of -11/6 and (4/(-10))/((-24)/p)? 6 Suppose -8 = 2*d - 3*f, d = -f - f + 10. Suppose d*u = 4*z + 46 - 14, 3*z + 15 = 0. What is the least common multiple of u and 13? 78 What is the least common multiple of 5920/8 + (1 - -2) and 1? 743 Suppose -3*d = d - 24. Suppose 0 = i + 82 - 22. Let w = -52 - i. What is the smallest common multiple of d and w? 24 Let w = 25 + 3. Suppose 4*p = -2*i + 48, i + p = -2*i + 57. Calculate the smallest common multiple of i and (60/(-35))/((-4)/w). 36 Let g = 16 - 5. Let w(k) = -19 - 15*k**2 + 25*k**2 + 6 - k**3 + 13*k. Calculate the smallest common multiple of g and w(11). 99 Let n = 913 + -14641/16. What is the common denominator of -39/4 and n? 16 Let u be (0 - 6)*(-6482)/(-1144). Let c = 452/13 + u. Find the common denominator of c and -13/4. 44 Let b be -3 - (-194)/(-4)*-2. Let g be b/(-12)*(-34)/(-6). Let w = -152/9 - g. Find the common denominator of 18/7 and w. 14 Suppose -2*v = 2 - 6. Suppose -3*d = 3*n + 15, d = v*n - n - 1. Calculate the common denominator of 2 + 21/(-4) + 1 and d. 4 Suppose -4*d + 90 = 14. Let v = -9 + 18. What is the lowest common multiple of d and v? 171 Let f be 9/3 - (-2)/(4/(-6)). Suppose -2*a + 7*a - 100 = f. Calculate the lowest common multiple of a and 202. 2020 Let h be (-1)/(-303)*60/(-230). Let o = -31716012724 - -442057785581747/13938. Let m = h + o. Calculate the common denominator of -61/6 and m. 6
{ "pile_set_name": "DM Mathematics" }
(-4/11)/(u**(-2/9)/u*u*u*u**(-4)) assuming u is positive. u**(1849/990) Simplify ((o**(1/3))**(11/6)/(o**(-7)/o*o**(7/2)))/(((o*o**1)/o)/o*o*o*o*o**(-2/9)/o*(o/o**(-3/4))/(o**(2/3)/o)) assuming o is positive. o**(5/4) Simplify ((j**0)**(-1/4))**(3/4)*(j*j**(-2)*j*j**(-2/15)*j)**(1/52) assuming j is positive. j**(1/60) Simplify ((r**(2/5))**(1/10)*(r**3/r)/(r*r*(r*r**(-1))/r))/(r*(r**(1/4)*r)/r*(r*r*r/(r*r**(-8/7)))/r)**(-2/107) assuming r is positive. r**(41323/37450) Simplify ((h**(-2/9)/h)/(h/h**1*h))**18*(h**(-1))**(10/9)/(h**(-2/9)/h)**(1/3) assuming h is positive. h**(-1099/27) Simplify ((x/(x*(x*x/(x**(-9)/x)*x)/x)*x*x)/x**(3/2))**19/((x**4/x**4)/(x**7/x*x**(-4))) assuming x is positive. x**(-433/2) Simplify (f**1/f**(-1/3))**(-7)/((f**(-1/4))**(-27)/(f**1/(f**2*f*f))) assuming f is positive. f**(-229/12) Simplify (j**15/(j**(-13/3)*j)*(j**(1/7))**(-2/75))**(-24/7) assuming j is positive. j**(-76984/1225) Simplify ((b**(1/2))**(-4/3)*((b/(b/((b**(2/9)/b)/b*b))*b)/b)**(-34))/((b/(b*(b**1*b)/b))**(2/143)*b/b**7*b*b**(-2/11)) assuming b is positive. b**(39863/1287) Simplify ((v**(-5/14)/(v**30*v))/(v*v**(22/9)/v*(((v/(v/(v*v/(v*v/(v/((v/v**3)/v)*v))*v)))/v)/v)/v*v))**(-3/10) assuming v is positive. v**(4763/420) Simplify ((t/(t*t**0))**7)**49/((t/t**(2/3))**(9/2)/(t*t**(-2/19)*(t*t*t*t*t*t/t**6*t)/t)) assuming t is positive. t**(-23/38) Simplify ((z**(2/21)/(((z*((z/(z**(-1/12)/z))/z)/z*z)/z)/z))/(z/(z**(-2/9)/z))**(14/5))**(-39) assuming z is positive. z**(20345/84) Simplify (v/(v*v/(v/(v/v**8)))*v/(v**8/v)*v)**(-14)*(v**1)**(-29)*(v**7/v)/(v/(v/v**(-1))) assuming v is positive. v**(-50) Simplify (z/z**(-1/11)*z**(3/2)*z)/(z**3*z**1)*(z*z**1/z*z*z)**(-35)*(z**(-1/4)*z)**(12/5) assuming z is positive. z**(-11397/110) Simplify (((j*(j*j*j*j**(-1))/j*j)**(1/8)/(j**(3/5)/j**(1/7)))**32)**(-41) assuming j is positive. j**(3772/35) Simplify (((j*(j*j**(4/27)/j)/j)/j*j*j**(-21)/j)/(j**(-13/4))**(-9))**42 assuming j is positive. j**(-38633/18) Simplify (w/(w**24*w)*w*w**(-31))/(w**0*w**(-1/15)) assuming w is positive. w**(-809/15) Simplify (j**(2/5))**48*j/j**(-3/8)*j/(j**3*j)*j*(j/j**(-5)*j*j/j**(-1/2))/(j/j**1*j*(j*j*(j*j*j/(j**3/j))/j)/j) assuming j is positive. j**(1003/40) Simplify (((f**(1/3)*f**(-3/5))/(f**(-2/5))**(1/6))**(-6))**21 assuming f is positive. f**(126/5) Simplify (a**(-1))**3/(a/(a/a**(1/4)))**(2/21)*((a/a**(-3))/a**(-2/3))**(-18) assuming a is positive. a**(-3655/42) Simplify j/(j/(j**(-7/5)/j))*j/(((j*j*j**(-4/5)*j)/j)/j)*(j**14)**42 assuming j is positive. j**(2932/5) Simplify (m**(-1/5)/m*m**9*m**(-1)*m*m**(2/11)*m)**(11/5) assuming m is positive. m**(494/25) Simplify (((s*(s/s**26)/s)/s)/((s*s/(s**(1/23)*s))/s))/((s*s/(s*s**(1/75)))/(s*s/(s**(-4)/s)*s*s*s)) assuming s is positive. s**(-29227/1725) Simplify (l**(1/2)/(l**(2/3)*l))/(((l**0*l)/l*l)/l*l*l)**(-10)*(l**(-5)*l*l)/(l*l**(-3/2))*l/(l/l**2)*l*(((l**7*l)/l)/l)/l assuming l is positive. l**(73/3) Simplify (w/(w*w**(5/4))*w*w/(w*w/(w**(-1/4)*w)))**45/(w**(2/3)/(w/(w*w*w*w/(w/w**(4/3))))*((w*w**1/w)/w)**(1/7)) assuming w is positive. w**(-53/2) Simplify (s*s**4*s*s**(-5)/s)**(22/7)*((s/s**(1/6))/s**3)**(-34) assuming s is positive. s**(221/3) Simplify ((((y**6/y*y)/y*y)/y*y)/y**(-1))/(y**(-2/9))**(1/16)*(y**(-2)*y)/y**(6/5)*(y*y/y**1)**(-1/27) assuming y is positive. y**(5159/1080) Simplify (((p/(p/(p/(p*p**(3/4)*p))))/(p*p**(1/2)))/((p**(-8)*p)/((p/(p*p**13*p))/p*p)))**(-35) assuming p is positive. p**(1435/4) Simplify (((v**(-4)/v)/v*v**(5/8))/(v**5)**48)**(-25/4) assuming v is positive. v**(49075/32) Simplify ((j**(-2/3))**(-2/43)*j*j*j**(-1)*j*(j*j**(-1/14)/j)/j)/((j**(-2/3))**(-8)/(j*j*j**(1/3))**(-1)) assuming j is positive. j**(-12113/1806) Simplify ((p/(p**0/p))**40/(p*p*(p**(-8/11)*p*p)/p)**(-5/3))**(-1/11) assuming p is positive. p**(-2765/363) Simplify ((j**(-5/11))**(5/3)/(j**(4/7)/j)**(-29))**26 assuming j is positive. j**(-79196/231) Simplify (((i**(-1/2)*i)/(i*i*i*(i**(-2/9)/i)/i))/(((i*i**(-4))/i)/(i/(i*i**6))))/((i**(-2/7))**(-12/7)*i**(-5)/i**(3/7)) assuming i is positive. i**(2347/882) Simplify ((w**(4/3))**8)**(-1)/((w*w**2)**(-1/3)*(w**(-4/7)*w)/w**(8/7)) assuming w is positive. w**(-188/21) Simplify (g**(1/3)/g**(-5))/(g**(-4)/g**3)*((g/g**(1/5))/(g/(g*g*(g*g**(-2/15)/g)/g)))**43 assuming g is positive. g**41 Simplify f**(-1/6)/(f**(-2)/f)*f**(4/5)/((f**(1/7)*f)/f)*(f**(-1))**(-19)*(f**0)**(-28) assuming f is positive. f**(4723/210) Simplify (z/z**(-42))**(-39)/(z**(-2/5)/z)**(-4/3) assuming z is positive. z**(-25183/15) Simplify (i*i*i/(i**10*i*i)*i*i**(-9)*i**(-6/11)/((i*i/((i**(-8/3)/i)/i))/i*i))**(-2/5) assuming i is positive. i**(1598/165) Simplify (((s**(-2/19)*s)/(s/s**(-7)))/(s*s/s**(-1)*s*s**(-7)))/((s**2)**23)**(-1/11) assuming s is positive. s**(16/209) Simplify (((d**(-2/9)*d*d**(-1)*d)**(-2))**(4/5))**(9/2) assuming d is positive. d**(-28/5) Simplify ((((k**(-4)*k)/k)/k)/(k*k/(k**(-1)*k))*(k**0)**(43/3))/((k/(k**(2/5)/k))**(-42))**(1/2) assuming k is positive. k**(133/5) Simplify ((((d/(((d*d*d*(d*(d**(-1)*d)/d)/d)/d)/d))/(d**(-4/7)*d))/((d/((d*d**(-7)*d)/d))/d*d/(d*d**(4/3)/d)))**(8/19))**42 assuming d is positive. d**(-1712/19) Simplify (d*d/((d/(d/(d*d*d/(d/d**22))))/d)*d**(-15/7)*d**(2/15)*d/d**(4/11))**(-4/17) assuming d is positive. d**(103364/19635) Simplify ((f**(6/11)/(f*f/(f/(f**(-1/3)/f))*f))/(f**(1/4))**(9/8))/(f**5*f**(-1)*f*f*f*f**6*f*f*f*f**5) assuming f is positive. f**(-22601/1056) Simplify (((i/(i*i*i**(-1)))/i*i)**(-10/3))**(-1/3)*((i**(-3))**17)**(1/3) assuming i is positive. i**(-17) Simplify ((z**(-1))**43/(z**(1/4)/z*z*z)**(-23))/((z*(z**(-1/6)*z)/z*z*z*z**(-1/7))/(z**(-1)*z)**(-1/30)) assuming z is positive. z**(-1423/84) Simplify ((n*n*n*n**1*n)**(-18)/(n**(4/9)/(n*n**(-8)*n)))/((n**(-2/13)/n)**(-7/4))**(-17) assuming n is positive. n**(-29071/468) Simplify (u/(u/(u**(-3)*u)))/u*u/(u/(u/(u/(u**(-4)/u))))*u**(-1)/u*u**(-4/9)*((u/u**1)/u)**(-1/29)*u**(-1)*u/((u*u**(-1/8))/u)*u assuming u is positive. u**(-19387/2088) Simplify ((z/(z/(z**(-8)*z)))/(z**(-2/9)*z)*(z*z/z**6)/z*z**(1/4)/z*z)/((z*z/(z/z**(-1/3)))**40)**(-30) assuming z is positive. z**(28349/36) Simplify n**(2/19)*n*(n*n**(3/4)/n)/n*(n*n**(6/7))/(n*(n/(n**0*n))/n)*(n*n**(-6)/n*n**(-1/4))/(n**(-1/4)/(n**(2/5)/n*n)) assuming n is positive. n**(-7681/2660) Simplify j**(-7)*j**(1/5)*(j*j**(-2/7))**(6/11)*(j**(-7)*j*j*j**4)/((j/(j*j/j**4))/j*j*j*j**(-2/9)) assuming j is positive. j**(-38767/3465) Simplify ((x**(2/3))**49*x/(x*x**(2/9))*((x/((x**3/x)/x))/x)/x*x)/((x/x**1)**(-6)*(x/x**(1/4))**(7/4)) assuming x is positive. x**(4339/144) Simplify ((h*h*h*h*h/(h*h**(-9/4))*h*h)/h**16*(h**(3/14)*h)**1)**(-4/9) assuming h is positive. h**(61/21) Simplify (c**(-2/7)*c)**17*c*c**(-2/5)*((c**(1/3)*c)/c)/c*(c**(-2/7))**(-9/5)/(c**1/c*c*(c/(c/(c/(c**(-2/19)/c))))/c*c*c) assuming c is positive. c**(16928/1995) Simplify y**(2/9)*y*y*y/(y**6*y)*y*y**(4/5)*(y/(y**5/y))/y*y*(y**(-2/5)/y)**39/((y*y**(2/17))/y**4) assuming y is positive. y**(-43372/765) Simplify (((a/((a*a**(1/4)/a*a)/a))/a*a)**(-16)*a*a/a**(-6/7)*a/a**0)/(a/(a/(a**(-6/5)/a))*a/(a*a**(-1)))**(-1/4) assuming a is positive. a**(-591/70) Simplify (u**(-2/129)/u)/((u/(((u/(((u**(-4/21)*u)/u)/u))/u*u)/u)*u)/u)*u**(22/9)*u/(u*(((u**(-6)/u)/u)/u*u)/u*u) assuming u is positive. u**(26059/2709) Simplify ((q**1)**(-4/3)/(q**(-2/7)/q)**(-40))/((q/q**(-2))/(q*(q**1*q)/q*q)*q/q**(2/15)*q*q*q**(-1/2)*q) assuming q is positive. q**(-3929/70) Simplify ((l*l**(-4))/l)/l**(2/11)*(l/((l**(-2/3)/l)/l))**15*(l**3/(l*l*l**(2/5)))**(-48) assuming l is positive. l**(1211/55) Simplify (d*d**0)**(-29)*d**(-1)*d*d**(-3/4)*d**(-1/4)/d*d*d/(d/(d*d**2)*d)*d*d**(3/7)*d**2 assuming d is positive. d**(-172/7) Simplify ((t*t**(2/15))/t**(-3))**(3/4)/(t**(-3/10)/(t/(t/(t/(t*((t/t**1)/t*t)/t))))*t**(-2/7)/(t*t/t**(4/9))) assuming t is positive. t**(1966/315) Simplify s**(1/25)*s**(-14/9)*s*s/(s/(s/s**(2/3)*s))*s**(-6/5) assuming s is positive. s**(-86/225) Simplify k**(2/7)/(k*k**7)*k/(k*k**(-2/11))*k**(-2)*(k/k**(-3))/k*k**2/k*k**(4/7)*k**4*k*k assuming k is positive. k**(80/77) Simplify n*(n/(n/(n*n/(n/(n*n**(-23))))))/n*n**(-28)*n*(n**(-3/7))**31 assuming n is positive. n**(-429/7) Simplify (y**1*y)**(-6/11)/((y*y*y**6)/((y*y**(-6)/y*y
{ "pile_set_name": "DM Mathematics" }
= 2*c. Determine h(o(d)). 2*d Let o(k) = -74*k + 41*k + 35*k. Let f(n) be the first derivative of -2*n**3/3 - 1. What is o(f(u))? -4*u**2 Let a(p) = -11*p**2. Let d(y) = -16*y**2. Let l(b) = -7*a(b) + 5*d(b). Let k(h) = 3*h. Calculate l(k(g)). -27*g**2 Let j(b) be the first derivative of -b**4/2 + b - 2. Let c(k) be the first derivative of j(k). Let m(r) = r**2. Give c(m(h)). -6*h**4 Let o(d) = 3*d**2 + 10. Let r(y) = 8*y**2. Determine o(r(t)). 192*t**4 + 10 Let n be (-25)/(-15)*6/2. Let x = 8 - n. Let o(c) = -x*c + 4*c + c. Let q(u) = -u**2. Determine q(o(z)). -4*z**2 Let a(h) = 9*h**2. Let s(z) = -2*z**2 + 5. Let d(v) = -v**2 + 3. Let k(b) = -5*d(b) + 3*s(b). Calculate k(a(o)). -81*o**4 Let r(o) be the second derivative of o**3/2 + 4*o. Let p(d) = 2*d + 6*d - 4*d. Give p(r(j)). 12*j Let i(u) = 10*u**2. Let j(b) = 8*b. What is i(j(k))? 640*k**2 Let z(f) = 3*f. Let w(i) = i. Let q(a) = 5*w(a) - z(a). Let g(j) = 3 - j**2 - 3. Calculate q(g(h)). -2*h**2 Let q(m) = 148*m. Let c(w) = 15*w + 6. What is c(q(h))? 2220*h + 6 Let q(n) be the second derivative of n**4/4 + 4*n. Let a(j) = 4*j. Calculate a(q(o)). 12*o**2 Let c(q) = 6*q. Let z(i) be the second derivative of -i**4/6 + 6*i. Determine c(z(w)). -12*w**2 Let b(o) = 3*o. Let u(d) = -33*d + 17*d + 14*d. Give b(u(y)). -6*y Let q(u) = 3 - 3 - u**2 + 0 + 3*u. Let i be q(3). Let g(r) = 2 + i*r**2 - 3*r**2 - 2. Let f(a) = -2*a**2. Calculate f(g(w)). -18*w**4 Let c(u) = -7*u**2. Let n = -15 - -22. Let k(s) = -13*s**2. Let i(h) = n*c(h) - 4*k(h). Let w(o) = -4*o**2 + 0*o**2 + 2*o**2. Calculate i(w(j)). 12*j**4 Let o(h) be the second derivative of h**3 - 16*h. Let j(y) = y**2. Determine j(o(d)). 36*d**2 Let l(t) = -5*t - 17 + 9 + 8. Let o(q) be the first derivative of q**2/2 + 1. Give l(o(z)). -5*z Let f(h) = 5*h. Let o(n) be the second derivative of -n**3/3 + 6*n. Calculate o(f(w)). -10*w Let h(c) = 3*c**2. Let p(t) be the second derivative of -t**4/4 - 6*t. Calculate p(h(k)). -27*k**4 Let t(r) = -2*r - 19. Let p(w) = 2*w**2. Calculate p(t(x)). 8*x**2 + 152*x + 722 Let c(k) = -558*k. Let a(o) = -4*o**2. Determine a(c(v)). -1245456*v**2 Let v(s) = 45*s. Let r(f) = -2*f. Let x(z) = 20*r(z) + v(z). Let w(k) = -2*k + 4*k - 3*k. Determine x(w(o)). -5*o Let a(r) = 6*r. Let h(w) = 2*w - 8. Let k(p) = -p + 5. Let g(x) = -5*h(x) - 8*k(x). Calculate a(g(s)). -12*s Let r(v) = 2*v. Suppose -5*l + l + 68 = 0. Let x(s) = -3*s - 17 - 9*s + l. What is x(r(k))? -24*k Let j(g) = 3*g**2. Let m(n) = -3468*n. Calculate j(m(z)). 36081072*z**2 Let v(w) be the third derivative of -7*w**5/60 - 10*w**2. Let j(q) = q**2. What is v(j(t))? -7*t**4 Let m(u) = -13*u + 19. Let h(f) = 6*f. Determine h(m(q)). -78*q + 114 Let m(t) = 5*t**2. Let g(i) = 15*i**2. Let d(f) = -7*f**2. Let u(x) = -13*d(x) - 6*g(x). Calculate m(u(o)). 5*o**4 Let q(c) = 9*c**2. Let p(h) = h - 105 + 105. What is q(p(t))? 9*t**2 Let n(r) = 44*r. Let u(m) = 2*m**2 - 4. Let t(g) = -5*g**2 + 9. Let z(i) = 4*t(i) + 9*u(i). Calculate n(z(y)). -88*y**2 Let h(k) = -9*k. Let m(x) be the first derivative of x**3 + 9. Determine h(m(g)). -27*g**2 Let m(x) = -2*x**2 + 566*x - 1. Let t(i) = 6*i. Give m(t(n)). -72*n**2 + 3396*n - 1 Let t(g) = -14*g. Let j(o) be the first derivative of -o**3/6 + 4*o - 8. Let y(r) be the first derivative of j(r). Determine y(t(q)). 14*q Let w(j) = -2*j**2. Let z(b) = 201*b. What is z(w(f))? -402*f**2 Let l(h) = -h**2 - 3. Let s(o) be the first derivative of o**3/3 + 4*o + 1. Let v(n) = -4*l(n) - 3*s(n). Let y(r) = 2*r**2 + 2*r - 2*r. Determine y(v(f)). 2*f**4 Let q(n) = 76*n**2 + n. Let f(c) = 3*c. Give q(f(v)). 684*v**2 + 3*v Let g(i) = 40*i**2. Let v(a) = -38*a. Give v(g(k)). -1520*k**2 Let b(g) = -7*g**2 - 6*g**2 + 6*g**2 - g**2. Let r(n) = 2*n. Calculate r(b(x)). -16*x**2 Let a(n) = 2*n**2. Let g(c) be the second derivative of 0 - 1/12*c**4 + 0*c**3 + 0*c**2 - 8*c. What is g(a(q))? -4*q**4 Let g(c) = -c + 4*c + 3*c. Let f(w) = 2*w. Determine f(g(l)). 12*l Let k(u) be the first derivative of u**2/2 - 2. Let f(h) = -5*h**2. What is f(k(j))? -5*j**2 Let v(a) = a - a + 7*a - 2*a. Let p(y) = -3*y. Give v(p(d)). -15*d Let n(w) = -6*w. Let j(t) = 7*t - 2. What is j(n(z))? -42*z - 2 Let i(y) = y**2. Let m(b) = 20352*b. What is i(m(d))? 414203904*d**2 Let c(a) = -15*a**2. Let l(k) = -4*k + k**2 + 0*k + 4*k. What is l(c(r))? 225*r**4 Let d(q) = -q. Let k(u) = -3*u - 186. Give k(d(y)). 3*y - 186 Let y(m) = -m. Let c(h) be the second derivative of 0 + 1/12*h**4 + 1/2*h**2 + 0*h**3 - 4*h. Let i(f) be the first derivative of c(f). What is y(i(d))? -2*d Let o(w) = 157*w**2. Let r(t) = -t**2. Give r(o(m)). -24649*m**4 Let t(b) = -2*b**2. Let m(n) = 2*n + 112. Give t(m(s)). -8*s**2 - 896*s - 25088 Let q(n) be the third derivative of -7*n**2 + 0*n + 0 - 1/60*n**5 + 0*n**3 + 0*n**4. Let z(h) = 2*h. Give q(z(c)). -4*c**2 Let d(l) = 81*l**2. Let s(m) = 39*m**2. What is s(d(q))? 255879*q**4 Let o(v) = -v. Let p(l) be the second derivative of 0*l**2 - l + 0*l**3 - 1/4*l**4 + 0. Give o(p(q)). 3*q**2 Let r(w) = -w**2. Let s(b) = -58*b - 11. Let u(i) = 19*i + 4. Let v(x) = 4*s(x) + 11*u(x). What is v(r(o))? 23*o**2 Let u(f) = -3*f**2. Let z(i) = 2*i - i - i + 3*i. What is u(z(m))? -27*m**2 Let i(u) = -10*u**2. Let r(h) = -h. Let g(v) = -5*v. Let l(z) = g(z) - 6*r(z). What is l(i(a))? -10*a**2 Let n(u) be the second derivative of u**5/60 + u**2/2 + 4*u. Let j(r) be the first derivative of n(r). Let x(f) = -7*f**2. What is x(j(m))? -7*m**4 Let u(s) be the second derivative of -s**6/120 + s**3/6 - 3*s. Let l(f) be the second derivative of u(f). Let i(h) = h**2. Determine l(i(q)). -3*q**4 Let x(g) = -g. Let s(y) = -1959*y. Calculate s(x(p)). 1959*p Let t(u) = -90*u**2 - 3. Let h(n) = n. What is h(t(c))? -90*c**2 - 3 Let z(g) = g. Let d(f) = -91*f**2. What is z(d(a))? -91*a**2 Let o(i) be the third derivative of 0*i**3 + 0 - 1/12*i**4 + 0*i + 2*i**2. Let z(r) = -6*r**2. What is z(o(m))? -24*m**2 Let p(y) be the first derivative of 0*y**2 - 2/3*y**3 + 0*y - 1. Let x(f) = -f**2 + 3. Let k(h) = -h**2 + 5. Let j(q) = -3*k(q) + 5*x(q). What is j(p(r))? -8*r**4 Let b(p) be the third derivative of p**4/12 + p**2. Let m(k) = -3*k**2 - 2*k**2 + 8*k**2 + k**2. What is b(m(q))? 8*q**2 Let s(t) = -25*t**2. Let m(q) = 3*q - 7*q + 4*q - 2*q. Give m(s(c)). 50*c**2 Let r(d) = 2*d. Let c(x) = 6903*x**2. What is c(r(y))? 27612*y**2 Let w(i) = -2*i. Let n be 30/9 - 2/(-3). Let o be 0/1 - (1 + -3). Let v(h) = n*h**2 - 2*h**2 + 0*h**o. Determine w(v(y)). -4*y**2 Let y(b) = b**2. Let l(p) = -4*p. Let f(h) = h + 0*h - 10*h. Let s(x) = 2*f(x) - 5*l(x). Give y(s(c)). 4*c**2 Let q(n) = 4*n**2 - 1. Let k be q(-1). Let w(i) = i - k*i**2 - i. Let l(y) be the first derivative of -y**3/3 - 1. Give l(w(o)). -9*o**4 Let i(u) = -2*u. Let q(b) be the first derivative of 1/3*b**3 + 0*b**2 - 2 + 0*b. Determine q(i(n)). 4*n**2 Let k(i) be the second derivative of -i**3/3 - 2*i. Let j(h) = -2*h. Determine j(k(a)). 4*a Let a(t) = 3*t. Let g(i) be the third derivative of -i**4/12 - 4*i**2. Give g(a(j)). -6*j Let w(t) = 5*t - 6. Let y(k) = -6*k + 7. Let j(n) = -7*w(n) - 6*y(n). Let f(v) = 2*v - 3. Let h(m) = m - 1. Let s(c) = -5*f(c) + 15*h(c). Calculate j(s(q)). 5*q Let f(v) = 19*v**2 + 2*v. Let y(x) be the third derivative of -x**4/12 + 19*x**2. What is y(f(c))? -38*c**2 - 4*c Let v(p) = 3*p**2. Let h(w) = 897*w**2 + 169*w - 169. Let q(z) = 32*z**2 + 6*z - 6. Let j(m) = 6*h(m) - 169*q(m). Determine j(v(l)). -234*l**4 Let l(v) = 20406*v. Let h(d) = d**2. Calculate h(l(c)). 416404836*c**2 Let x(l) = 7*l. Let z(r) = -r + 6*r - 8*r. What is x(z(o))? -21*o Let q(t) = -3*t. Let n(y) be the third derivative of -y**4/12 - y**2. Calculate n(q(w)). 6*w Let n(y) = 61*y - 3. Let p(l) = 2*l. Determine p(n(j)). 122*j - 6 Let f(n) be the second derivative of 5*n**4/12 + n. Let x(t) be the first derivative of t**2/2 - 2. Calculate f(x(g)). 5*g**2 Let i(o) = -2*o**2. Let j(y) = -3081*y - 1. Determine i(j(d)). -18985122*d**2 - 12324*d - 2 Let n(h) = 6*h. Let y(k) be the third derivative of -k**4/24 + k**2. Calculate n(y(r)). -6*r Let t(i) = 2*i - 2*i - 2*i + 3*i. Let w(d) = 1 - 1 - 6*d. Give t(w(s)). -6*s Let z(w) be the second derivative of w**4/3 + 5*w. Let g(a) = 3*a**2. Calculate z(g(f)). 36*f**4 Let s(q) = 3*q. Let h(r
{ "pile_set_name": "DM Mathematics" }
s(d). Let c(m) = -2*m**2. What is n(c(g))? -12*g**2 - 5 Let b(t) be the third derivative of 7*t**4/12 + t**2. Suppose 2049 = 4*g - 6*j + 5*j, 3 = j. Let s(x) = -g*x + 513*x - x**2. What is s(b(v))? -196*v**2 Let d(j) be the third derivative of -j**4/6 - 68*j**2. Let v(o) = 16*o**2 - 2*o. Calculate v(d(b)). 256*b**2 + 8*b Let d(j) = 0*j**2 - j**2 + 2*j**2. Let x(o) be the second derivative of 7*o**3/6 - 5*o + 36. Calculate d(x(r)). 49*r**2 Let k(i) = -i + 2. Let f(n) = 12*n**2 - 6*n + 12. Let y(c) = f(c) - 6*k(c). Let a(w) = -13*w. Calculate a(y(d)). -156*d**2 Let m(d) = -d - 2. Let p(x) = 2*x + 2. Let u(g) = -m(g) - p(g). Let w(s) = -s. Give u(w(t)). t Let a(q) = 16*q. Let u(b) be the third derivative of b**4/8 - 180*b**2. What is u(a(g))? 48*g Let h(k) = k - k + 2*k**2. Let a(i) = 1363*i - 452*i - 457*i - 460*i. Give a(h(y)). -12*y**2 Let u(h) = -26*h**2 + 3*h. Let z(o) = o. Let w(a) = -27*a**2 + 3*a. Let r(g) = w(g) + z(g). Let q(m) = 3*r(m) - 4*u(m). Let l(v) = 2*v. Determine l(q(s)). 46*s**2 Let m(d) = -2*d. Let w(l) be the first derivative of 7*l**2 + 272. Determine w(m(f)). -28*f Let s(n) be the third derivative of 13*n**5/30 + n**3/2 + 26*n**2 + n. Let h(t) = -t. What is h(s(u))? -26*u**2 - 3 Suppose 6*b = b - 20. Let v be (14/b)/(10/(-20)). Let g(k) = 8*k - 6*k - 7 + v. Let z(a) = -a**2. What is z(g(c))? -4*c**2 Let p(j) = -2*j. Let u(k) = 2959*k**2 + 352. Let o(x) = -102*x**2 - 12. Let y(l) = -88*o(l) - 3*u(l). Calculate p(y(d)). -198*d**2 Let h(v) = 1869*v. Let l(d) = 2*d**2 + 39*d. What is h(l(n))? 3738*n**2 + 72891*n Let v(g) = -2*g**2. Let x(w) = 76*w**2 - 20*w - 2. Give x(v(c)). 304*c**4 + 40*c**2 - 2 Let g(d) be the first derivative of d**2 + 9*d + 148. Let q(y) = -3*y**2. Determine g(q(k)). -6*k**2 + 9 Let k(y) = y - 123. Let w = 115 - 114. Let t(i) = 2. Let a(z) = 2*z + 24. Let l(x) = w*a(x) - 12*t(x). Give k(l(m)). 2*m - 123 Let w(b) = b**2. Let c(i) = -2183325*i. Give c(w(z)). -2183325*z**2 Let a(q) = 690*q. Let n(j) = 1149 + 1136 - 2285 + j. What is n(a(u))? 690*u Let d(z) = 3*z. Let j = -23 + 45. Suppose -3*x + j = 4*m, 3*x = x - 4. Let i(g) = -8*g**2 - m*g**2 + 16*g**2. Give i(d(p)). 9*p**2 Let y(q) be the second derivative of -q**3/6 - 2*q - 9. Let z(s) = -25*s - 6. Let b(c) = 525*c + 125. Let j(h) = 6*b(h) + 125*z(h). What is j(y(u))? -25*u Let z(v) be the third derivative of 11*v**4/6 - 9*v**2 + 8. Let x(r) = 5*r**2. Determine z(x(u)). 220*u**2 Let i(m) be the first derivative of -m**3/3 - 41*m + 41. Let u(h) = 2*h. What is i(u(l))? -4*l**2 - 41 Let f(y) = 7*y**2. Let i(j) be the third derivative of -j**5/12 - 5*j**4/24 + 301*j**2. Give f(i(s)). 175*s**4 + 350*s**3 + 175*s**2 Let a(t) be the first derivative of 4*t**3/3 + 3*t + 2. Let r(o) be the first derivative of a(o). Let z(l) = -28*l + 10*l + 17*l. Calculate r(z(g)). -8*g Let k(g) = -39*g. Let t(u) be the third derivative of 0*u**4 - 3*u**2 + 1/60*u**5 + 0*u + 0 + 0*u**3. Give k(t(n)). -39*n**2 Let n(r) = 344*r - 171*r - 174*r. Let x(p) = -2*p**2 - 15. What is x(n(l))? -2*l**2 - 15 Let s be (-2)/(-16) - (-2)/(-16). Let r(y) = -y + s*y + y + y. Let b(t) = -53*t - 3*t**2 + 53*t + 11*t**2. What is r(b(o))? 8*o**2 Let z(w) = 2*w**2 + 107*w. Let h(x) = -16*x - 5*x + 3*x**2 - 2*x**2 + 21*x. What is z(h(t))? 2*t**4 + 107*t**2 Let g(i) = -i. Let q(u) be the second derivative of -25/6*u**3 - 2*u + 0*u**2 + 0. Determine q(g(a)). 25*a Let u(l) = 13*l + 22*l - 55*l + 19*l + 15*l. Let v(c) be the first derivative of -3*c**2 - 1. Give u(v(t)). -84*t Let a(n) = 6*n**2. Let y(h) = 102*h + 35. Calculate y(a(q)). 612*q**2 + 35 Let c(i) be the second derivative of -1/12*i**4 + 0*i**2 + 0 - 6*i + 0*i**3. Let x(v) be the second derivative of -13*v**4/12 - 27*v. What is c(x(j))? -169*j**4 Let z(h) = -59 + 131 - h - 72. Let w(m) be the second derivative of 5*m**3/2 - m. Determine w(z(j)). -15*j Let q(o) = -102*o**2 + 11*o**2 + 89*o**2. Let z(u) = 2*u**2 - 255. Calculate z(q(g)). 8*g**4 - 255 Let w(z) = -5*z. Let g(n) = 29416*n**2. Calculate w(g(p)). -147080*p**2 Let s(t) be the first derivative of -5*t**3/3 + 1. Let p(c) = 5*c**2 - 3*c - 3. Let m(n) = 3*n**2 - 2*n - 2. Let z(w) = -3*m(w) + 2*p(w). Determine s(z(q)). -5*q**4 Let w(o) be the third derivative of -o**4/24 + 2*o**2. Let z(s) = -21*s**2 + 5*s. Let l(m) = 19*m**2 - 6*m. Let x(q) = 5*l(q) + 6*z(q). Determine w(x(t)). 31*t**2 Let y = -321 - -1174. Suppose -5*c = 1788 - 6053. Let b(n) = c - y + n. Let s(u) = 4*u**2. Calculate b(s(g)). 4*g**2 Let d(s) = -24*s**2. Let j(w) be the third derivative of w**8/10080 - w**5/4 + 9*w**2. Let i(v) be the third derivative of j(v). Calculate i(d(k)). 1152*k**4 Let a(m) = -3*m**2 - 1168*m + 2. Let b(l) = -l. Give b(a(n)). 3*n**2 + 1168*n - 2 Let w(v) = -8*v**2 + 17*v**2 - 19*v**2. Let f(y) = -5*y**2. Calculate w(f(a)). -250*a**4 Let r(x) = -44 + 44 - 8*x. Suppose 0 = 3*c + 12, 56 = 2*j + 2*j - 2*c. Let v(d) = -12 + j - d. Determine r(v(m)). 8*m Let s(x) be the first derivative of x**2 + 2. Let f = 2 - -14. Let y(p) = -11*p + f*p - 12*p. Give y(s(t)). -14*t Let m(z) = -75*z. Let w(h) be the third derivative of h**5/30 + 6*h**2. Calculate w(m(g)). 11250*g**2 Let x(h) = 74*h**2 - 2*h + 3. Let a(q) = -q - 2. Give a(x(j)). -74*j**2 + 2*j - 5 Let o(g) = -2*g**2. Let z(d) = 5716*d. Calculate z(o(t)). -11432*t**2 Let x(z) = z**2 - 54*z. Let d(m) = 3076*m. Calculate d(x(w)). 3076*w**2 - 166104*w Let c(h) = -788*h. Let f(q) = -2*q**2 - 87*q - 12. What is f(c(t))? -1241888*t**2 + 68556*t - 12 Let z(d) = -35*d**2. Let g(b) be the first derivative of -1/3*b**3 - 29 + 0*b**2 + 0*b. Give z(g(s)). -35*s**4 Let n(y) = -3*y. Let k(s) = -210*s - 45. Let a(j) = 28*j + 3. Let c(o) = -15*o - 2. Let d(m) = -2*a(m) - 5*c(m). Let f(b) = 45*d(b) + 4*k(b). What is n(f(x))? -45*x Suppose 0 = -w + 3 + 1. Let n(u) = 0*u**2 + w*u**2 + 4*u**2 - 5*u**2. Let k(a) be the first derivative of 4*a**3/3 - 3. Determine k(n(v)). 36*v**4 Let a(b) = 2*b + 19. Let m(x) = -3*x**2 + 14*x**2 - 8*x**2 - 4*x**2. Calculate m(a(r)). -4*r**2 - 76*r - 361 Let d(u) = -2*u. Let m(w) = 162*w - 2. Let l(p) = 490*p - 7. Let v(c) = -2*l(c) + 7*m(c). What is v(d(k))? -308*k Let g(o) = -2*o. Suppose -4*v = -0*q - 3*q + 16, 0 = -5*v + 10. Suppose -j - 2*d - 2 = -q, j + 4*d = 4. Let h(a) = -6*a - j*a - 6*a + 18*a. What is h(g(m))? 4*m Let n(x) = 2*x**2 - 30*x. Let u(k) = 5*k**2. Calculate n(u(q)). 50*q**4 - 150*q**2 Let o(t) = 14*t**2. Let x(i) = -108673*i. Determine x(o(p)). -1521422*p**2 Let w(s) = -2*s. Let l = 24 + -12. Suppose -g - 10 = -3*y + 13, 0 = 2*y - 4*g - l. Let b(m) = 8 + m - y. Give b(w(v)). -2*v Let s(j) = -j**2. Let r(o) = -20 + 34 + 7 - 2*o. Determine s(r(z)). -4*z**2 + 84*z - 441 Let l(h) = -4*h**2. Let o(u) = -25*u**2. Let b(p) = -6*l(p) + o(p). Let d(v) = -13*v - 1. What is b(d(q))? -169*q**2 - 26*q - 1 Let v(a) = 39*a. Let g(p) = -p**2 + 16*p**2 - 8*p**2 - 9*p**2. Give g(v(u)). -3042*u**2 Let y(n) = 4*n. Let i(a) = -a. Let j(r) = -4*i(r) + 3*y(r). Let p(q) = 27*q. Calculate p(j(u)). 432*u Let v(m) = 411*m. Let x(f) = 397*f. Calculate v(x(s)). 163167*s Let d(r) = -2*r**2 - 3*r - 1. Let y(u) = 27*u. Determine d(y(k)). -1458*k**2 - 81*k - 1 Let c(a) = -2*a. Let g be ((-3)/((-12)/20))/(5 + -6). Let z(j) = 21*j + 10. Let u(v) = -v + 2. Let n(o) = g*u(o) + z(o). What is n(c(h))? -52*h Let a(x) = 2*x. Let d(r) be the third derivative of 0 + 11*r**2 + 1/60*r**5 + 0*r + 0*r**4 + 0*r**3. Give d(a(c)). 4*c**2 Let o(l) = 2*l**2. Let x(s) be the second derivative of -s**4/12 - s**3/6 - 5*s. Let w(j) = 6*j**2 + 4*j. Let c(u) = w(u) + 4*x(u). Determine c(o(v)). 8*v**4 Let m(q) = q**2 + 36. Let y(g) be the third derivative of -g**5/30 + 58*g**2. Calculate m(y(w)). 4*w**4 + 36 Let i(s) = -s. Let v(t) be the first derivative of -268*t**3/3 + 74. Calculate i(v(h)). 268*h**2 Let v(f) = -40*f. Let k(n) = 42*n**2 - 2*n. Calculate v(k(c)). -1680*c**2 + 80*c Let i(n) be the second derivative of 0*n**2 + n + 0 + 1/2*n**3. Let u(m) = 3*m + 3. Let y(s) = -16*s - 15. Let b(j) = 5*u(j) + y(j). What is b(i(a))? -3*a Let q(w) = 39*w**2 - 18*w. Let k(y) = 11*y**2 - 5*y. Let n(f) = 18*k(f) - 5*q(f). Let o(s) be the third derivative of 5*s**4/12 - 5*s**2 + 3. What is n(o(i))? 300*i**2 Let d(i) = -5*i. Let a(j) = -5 + 5*j - 8 - 8 + 21. Determine a(d(m)). -25*m Let
{ "pile_set_name": "DM Mathematics" }
**3 Collect the terms in 2329 - 2329 + 4*v - 4*v + 39*v**2. 39*v**2 Collect the terms in -3154056*t + 0 + 0 + 1577011*t + 1577044*t. -t Collect the terms in -88 - 90 - 93 - 94 + 365 - 3*z. -3*z Collect the terms in 333*n**3 - 224*n + 449*n - 225*n. 333*n**3 Collect the terms in 243*a - 70*a**3 - 243*a - 48*a**3. -118*a**3 Collect the terms in -13 - 6 + 6 + 278*u. 278*u - 13 Collect the terms in 2 + 182993*c - 182456*c + 2 - 4. 537*c Collect the terms in 22 - 15 - 9 + 0 + 24*b - 66*b. -42*b - 2 Collect the terms in -69*x**2 + 324*x**2 + 43*x**2 + 202*x**2. 500*x**2 Collect the terms in -210*l - 215*l - 206*l - 6*l**2 + 631*l. -6*l**2 Collect the terms in -747*j + 236*j + 274*j + 10*j**3 + 237*j. 10*j**3 Collect the terms in 47*m**2 + 44*m**2 - 2700 + 1348 + 1352 - 80*m**2. 11*m**2 Collect the terms in -k + 80912*k**3 + 9*k - 8*k. 80912*k**3 Collect the terms in 15*r - 1 + 6*r - 3*r - 8 - 5*r. 13*r - 9 Collect the terms in -1537*i + 123*i**2 - 124*i**2 + 1323*i. -i**2 - 214*i Collect the terms in 152*z**2 - 35*z**2 - 28*z**2 - 34*z**2 - 29*z**2 - 28*z**2. -2*z**2 Collect the terms in -7760 + 2586 + 2586 + 2584 - 3*w. -3*w - 4 Collect the terms in -164*y - 146*y + 324*y. 14*y Collect the terms in 19*b**2 + 24 - 22*b**3 - 34 - 19*b**2. -22*b**3 - 10 Collect the terms in -8003279 - 4*k**2 + 8003279 + 4*k**2 + 2*k**2. 2*k**2 Collect the terms in 25 + 3 + 14 + 38 + 2*s**3. 2*s**3 + 80 Collect the terms in 3 + 2 + 2*k - 2 - 4. 2*k - 1 Collect the terms in -22*p**3 + 24*p**3 + p**2 - 8*p**3 - p**2 + 13*p**3. 7*p**3 Collect the terms in -294851907*k + 5 - 5 - 4*k**2 + 294851907*k. -4*k**2 Collect the terms in 73352276*m - 73352276*m + 2*m**2. 2*m**2 Collect the terms in 0*m + 249563 + 8*m**3 - 249563 + 0*m. 8*m**3 Collect the terms in -3402338 + 3402338 + 4*s. 4*s Collect the terms in -47*h**3 + 260*h - 260*h. -47*h**3 Collect the terms in 66*o**3 + 16*o**3 + 23*o**3 - 130*o**3 + 23*o**3. -2*o**3 Collect the terms in 261 - 31*y - 261 - 39*y + 78*y. 8*y Collect the terms in 474*k + 481*k - 1895*k + 467*k + 476*k. 3*k Collect the terms in -12529*m - 12547*m - 12542*m + 37634*m. 16*m Collect the terms in 596*v - 2590*v - 1 + 0. -1994*v - 1 Collect the terms in 3575*m - 252*m + 574*m. 3897*m Collect the terms in -29*p**3 + 12*p**3 + 5*p**3. -12*p**3 Collect the terms in 6*z**3 + 49 + 5*z**2 + 18 - 5*z**2. 6*z**3 + 67 Collect the terms in 366*p**3 - 470*p**3 + 100*p**3. -4*p**3 Collect the terms in 12*k**2 - 13*k + 0*k - 13*k**2 + 13*k. -k**2 Collect the terms in -49*u - 62 + 244 - 68 - 114. -49*u Collect the terms in 24*c - 27*c - 2 - 11*c + 2. -14*c Collect the terms in 17 - 50 + 21 + 3254*d + 12. 3254*d Collect the terms in -2*x**2 - 24276*x - 24290*x - 24279*x + 72845*x. -2*x**2 Collect the terms in -3*k + 9222*k**2 - k + 87*k**3 - 9222*k**2. 87*k**3 - 4*k Collect the terms in 1 - 26*g + 118 - 121 + 2. -26*g Collect the terms in 795*c - 379*c - 394*c. 22*c Collect the terms in 14242*d**2 + 206*d + 183*d - 14241*d**2. d**2 + 389*d Collect the terms in -15*r - 13*r + 62*r - 8*r - 23*r. 3*r Collect the terms in -w**3 + 1 + 10*w**2 + w**2 + w**2 - 17*w**2. -w**3 - 5*w**2 + 1 Collect the terms in 3*b**2 - 68*b + 12*b + 5*b + b + 50*b. 3*b**2 Collect the terms in -1 + 105*k**2 + 116*k**2 + 2 + 0. 221*k**2 + 1 Collect the terms in -60*r**2 + r + 293*r**2 + 16*r**2. 249*r**2 + r Collect the terms in 2816*v - 1411*v + 0 - 9 + 13 - 1403*v. 2*v + 4 Collect the terms in 769*r**2 - 5435*r**3 - 769*r**2. -5435*r**3 Collect the terms in 783*z + 1907*z - 564*z. 2126*z Collect the terms in 2*b - 8*b**3 + 2*b + 215 - 215. -8*b**3 + 4*b Collect the terms in 21 + 13*f**2 - 5*f**2 + 4*f - 21 - 12*f**2. -4*f**2 + 4*f Collect the terms in 19 - 14*f**2 - 25*f - 19 + 12*f - 18*f**2. -32*f**2 - 13*f Collect the terms in 125356*o**3 - 62663*o**3 - 62679*o**3. 14*o**3 Collect the terms in 5*b**3 + 3*b**3 - 28*b**3 + 17*b**3. -3*b**3 Collect the terms in -g**3 - 20*g**2 - 2*g**2 + 8*g + g. -g**3 - 22*g**2 + 9*g Collect the terms in 149 + 7458*h + 7455*h - 149 - 14915*h. -2*h Collect the terms in -10 + 12 + 12 - 14*h**2 - 18. -14*h**2 - 4 Collect the terms in 254*c**2 + 231*c**2 - 6*c**3 - 464*c**2. -6*c**3 + 21*c**2 Collect the terms in -168603*t + 84302*t + 84301*t + 33 - t**3 + 0*t**3. -t**3 + 33 Collect the terms in 5038 - 198*n**2 + 5*n**2 - 5040. -193*n**2 - 2 Collect the terms in -1969 + 979 + 997 - 52*i. -52*i + 7 Collect the terms in -33*i - 9 - 25*i + 14*i + 9. -44*i Collect the terms in 1 - 138*m**3 + 5*m**2 + 6*m**2 - 11*m**2. -138*m**3 + 1 Collect the terms in -32*p**3 + 8*p**3 + 10*p**3 - 3*p**3. -17*p**3 Collect the terms in 118*w - 33*w**2 - 118*w + 59. -33*w**2 + 59 Collect the terms in -50*i**2 - 311*i**3 - 312*i**3 + 640*i**3 + 50*i**2. 17*i**3 Collect the terms in -174*i**3 - 168*i**3 + 513*i**3 - 170*i**3. i**3 Collect the terms in 186 - 252 + 66 - 8*s - 9*s**2. -9*s**2 - 8*s Collect the terms in 49*w**3 - 7*w**2 - 190*w**3 + 5*w**2 + 6*w**2. -141*w**3 + 4*w**2 Collect the terms in 2291 + 2299 - 55*y - 4590 - 19*y. -74*y Collect the terms in -y**2 - 28035*y + 4*y**2 + 56119*y - 28084*y. 3*y**2 Collect the terms in 764*a - 389*a - 354*a. 21*a Collect the terms in -50 - 614*t**3 + 601*t**3 + 50. -13*t**3 Collect the terms in -956 - 6*u**2 + 956. -6*u**2 Collect the terms in 46964*j + 46950*j - 93911*j. 3*j Collect the terms in 36*f**3 - 4*f**3 + 31*f**3 - 3*f**3. 60*f**3 Collect the terms in -86*n - 736*n - 33 + 33. -822*n Collect the terms in 825*s**3 - 16981*s + 16981*s + 765*s**3. 1590*s**3 Collect the terms in 53 - 5*w + 94*w**3 - 53. 94*w**3 - 5*w Collect the terms in -42*w**3 - 326 - 333 + 1013 - 353. -42*w**3 + 1 Collect the terms in 14*m**3 + 3 - 2 - 3 + 7*m**3 - 11*m**2. 21*m**3 - 11*m**2 - 2 Collect the terms in -2 - 3 - 255*n - 277*n. -532*n - 5 Collect the terms in -n + 842*n**2 - 135 - n - 144. 842*n**2 - 2*n - 279 Collect the terms in -240*a**2 + 127*a**2 + 1 - 1 + 123*a**2. 10*a**2 Collect the terms in 329803 - 329803 - 2*n. -2*n Collect the terms in 8*f**2 + 9*f**2 + f**2. 18*f**2 Collect the terms in -10*a + a + 16*a + 0*a. 7*a Collect the terms in 225*i - 108*i + 1630*i + 390*i. 2137*i Collect the terms in -16*c - 905*c**3 + 16*c + 959*c**3. 54*c**3 Collect the terms in -4*t + 3312 + 2*t + 0*t. -2*t + 3312 Collect the terms in -375081 + 375081 + 3*z. 3*z Collect the terms in -15480*q - 586*q - 8237*q. -24303*q Collect the terms in 41*f - 13*f - 52 + 69*f. 97*f - 52 Collect the terms in -6*h**3 - 76 - 51*h + 4*h**3 + 0*h**3 + h**3. -h**3 - 51*h - 76 Collect the terms in -3562273 + 5*z + 3562273. 5*z Collect the terms in 29*n**3 - 22*n + 29*n + 8*n**3 - 14*n. 37*n**3 - 7*n Collect the terms in -2*r - 4*r + 82633 - 82633. -6*r Collect the terms in 484*n + 6*n**2 - 189*n - 8*n**2. -2*n**2 + 295*n Collect the terms in -126*d + 129*d - 5*d. -2*d Collect the terms in 1163*j + 1180*j - 1011*j + 806*j. 2138*j Collect the terms in 3*s - 3*s + 97228 + s. s + 97228 Collect the terms in 650 - 17*g**2 - 323 - 326. -17*g**2 + 1 Collect the terms in 1 - 63*t**2 + 121*t**2 + 0*t**2 - 3*t**2. 55*t**2 + 1 Collect the terms in 53 + 2289*z**3 - 62 + 1696*z**3. 3985*z**3 - 9 Collect the terms in -220*h**3 + 15*h**3 + 202*h**3. -3*h**3 Collect the terms in -832 - y**2 + 17*y**3 + 832. 17*y**3 - y**2 Collect the terms in 10*t**2 + 3*t**2 - 8*t + 11*t**2. 24*t**2 - 8*t Collect the terms in -15*o**3 + 294 + 316 - 610. -15*o**3 Collect the terms in -323*b**3 + 72*b**3 - 76*b**3. -327*b**3 Collect the terms in -412*r**3 + 601*r**3 + 519*r**3 + 360*r**3. 1068*r**3 Collect the terms in 53*a**2 - 541*a**2 - 41*a**2. -529*a**2 Collect the terms in -94*l + 182*l + 4*l**2 + 0*l**2 - 88*l. 4*l**2 Collect the terms in -70*g - 19*g**3 - 141*g**3 + 70*g. -160*g**3 Collect the terms in -86*v**2 - 81*v**2 - 3162 - 80*v**2 + 245*v**2. -2*v**2 - 3162 Collect the terms in -12946*u - 12997*u + 25945*u. 2*u Collect the terms in -2*m - m + 19187*m**2 + 3*m. 19187*m**2 Collect the terms in 10*d + 6*d + 21 - 15 - 13. 16*d - 7 Collect the terms in 36 + 36 - 12*k - 83 + 12. -12*k + 1 Collect the terms in 3*m - 32*m**3 + 8*m + 166*m**3 - 11*m. 134*m**3 Collect the terms in 36*t + 3*t + 15*t. 54*t Collect the terms in 37*b**2 + 61 - 15*b**2 - 9. 22*b**2 + 52 Collect the terms in -99 + 196 - 10
{ "pile_set_name": "DM Mathematics" }
3468 = 211*t + 10738 + 1250 for t. -46 Solve 2955 = -756*l - 1192 + 367 for l. -5 Solve 10139 - 4081 = -932*b - 12582 for b. -20 Solve 0 = -47*h - 1639 - 3531 for h. -110 Solve 5153*i = -5222*i + 10597*i - 7104 for i. 32 Solve 0 = 89*f + 540*f - 53214 + 40634 for f. 20 Solve -582*z + 11015 = -1441*z - 1344*z for z. -5 Solve -167757 + 236793 = -8199*u - 695535 - 47130 for u. -99 Solve 0 = -129318*z + 129116*z - 404 for z. -2 Solve -84*t = -1610*t - 19057 - 9084 - 29847 for t. -38 Solve 1447*o + 1317*o + 234940 = 0 for o. -85 Solve 311*r + 38*r = -177*r + 25774 for r. 49 Solve -89*h + 18727 - 66599 = -793*h for h. 68 Solve -3 + 199 = -58*f - 442 for f. -11 Solve 6111*m - 1978*m + 1369*m = -6177*m - 490518 for m. -42 Solve -212*u - 7964 + 2460 = -25*u + 15440 for u. -112 Solve 19*o + 35385791 = 35386133 for o. 18 Solve -687*r - 1144*r = -234*r + 20100 - 64816 for r. 28 Solve 1011*b + 81*b + 14938 = -266*b for b. -11 Solve 10084*m - 9989*m = -1045 for m. -11 Solve 0 = 4390*j + 4414*j - 8732*j + 1296 for j. -18 Solve -2173 = -22*l + 471 - 466 for l. 99 Solve 223*j + 1584787 = 1600620 for j. 71 Solve -2934*d - 230153 - 241969 = -169920 for d. -103 Solve -300 - 4100 = 38*m + 6*m for m. -100 Solve 17648 + 3937 = 699*c - 34807 - 14207 for c. 101 Solve -1023 + 657 - 2200 = -346*p + 202 for p. 8 Solve 3533*x - 412610 = -1489*x + 1612*x for x. 121 Solve -51*b = -2429 + 593 for b. 36 Solve -939*o - 2208*o + 333582 = 0 for o. 106 Solve -149*f = 82*f - 143*f + 616 for f. -7 Solve -58*s - 319 + 1664 = -1840 + 169 for s. 52 Solve 12231*f + 9860 = 11245*f for f. -10 Solve 308*d + 127*d = -109*d - 48*d - 74000 for d. -125 Solve 17982*g - 80340 = 16643*g for g. 60 Solve 942 = 73*k - 1978 for k. 40 Solve 388483*f - 1607 = 388507*f - 3959 for f. 98 Solve 7732*r - 6998*r = -32296 for r. -44 Solve -52*i - 608061 = -608529 for i. 9 Solve 341*h + 277*h = -53*h - 27794 + 5651 for h. -33 Solve 29 + 135 = 322*z - 158 for z. 1 Solve 782*v = 517*v + 7155 for v. 27 Solve 238*u = -239*u + 741*u - 225*u + 1131 for u. -29 Solve -41111 - 77465 = -2262*x + 170960 for x. 128 Solve -71*i - 9657 = 420*i - 158*i for i. -29 Solve 977*z + 532283 - 567455 = 0 for z. 36 Solve 9452*f = -1139*f - 328321 for f. -31 Solve -2040 = -842906*v + 842872*v for v. 60 Solve 180632 = -2700*d - 3955*d - 371733 for d. -83 Solve -7397*h + 315*h = -162280 - 54920 - 151064 for h. 52 Solve -320 = -538*p + 518*p for p. 16 Solve 0 = -368367*u + 367928*u + 16243 for u. 37 Solve 879*o + 872*o - 4080 = 1831*o for o. -51 Solve 56*g - 1684 = -473 - 153 + 1182 for g. 40 Solve -588*a - 273447 = -4551*a for a. 69 Solve -58*q - 11148 = -1470*q - 169*q - 277*q for q. 6 Solve -224*x = -672 + 123 + 3909 for x. -15 Solve 40249*p + 2760 = 40341*p for p. 30 Solve 0 = -55*r - 6*r + 4025 - 853 for r. 52 Solve 24*a = 12106 - 11098 for a. 42 Solve -1683*f - 182*f = -76*f - 76927 for f. 43 Solve -319*k - 20610 - 7391 + 6434 = 4910 for k. -83 Solve 557*z + 1301 - 11880 = -201*z + 25047 for z. 47 Solve 914 - 2589 = -257*k + 6292 for k. 31 Solve -18553*f + 6752 = -18817*f - 2752 for f. -36 Solve 7476338*i - 7476392*i = -648 for i. 12 Solve 2476 - 3396 = -87*k + 3082 for k. 46 Solve 4193*b + 1254*b + 141622 = 0 for b. -26 Solve -27*f + 70 = 64*f + 5985 for f. -65 Solve 162394 + 74777 = 7187*g for g. 33 Solve -1632*v + 57098 = 14666 for v. 26 Solve -4643*y = 36019 + 10919 + 8778 for y. -12 Solve 400*h = -3558 - 17129 + 4287 for h. -41 Solve 973*l - 9080 = -55784 for l. -48 Solve -2316*k + 5040 = -2204*k for k. 45 Solve 1414*m + 667*m - 965*m = -1568*m + 171776 for m. 64 Solve 482674*q + 160 = 482634*q for q. -4 Solve -1531*g - 2795*g = 2420*g - 821*g + 242925 for g. -41 Solve -3941*g - 5290*g - 956366 = -293*g for g. -107 Solve -30888 = -1785*b - 826 + 84178 for b. 64 Solve -56074 = 55257*j - 54038*j for j. -46 Solve -20386*v = 1370630 - 188242 for v. -58 Solve -17*y - 2*y = 2539 - 6124 + 3091 for y. 26 Solve -12*w - 792 - 424 = 45*w + 7*w for w. -19 Solve 0 = -2018*i - 70148 - 16626 for i. -43 Solve -1268 - 2137 = 208*y + 4519 - 1268 for y. -32 Solve -1587*a - 10620 = -1335*a - 2304 for a. -33 Solve -4555*k - 159375 - 212291 + 73540 = 16169 for k. -69 Solve -310*w + 178*w + 1995 = -189*w for w. -35 Solve -4428 + 4876 = -227*h - 4930 - 5291 for h. -47 Solve 75*z + 917 + 737 + 656 + 2790 = 0 for z. -68 Solve 247*y = -671*y + 11016 for y. 12 Solve -63*q - 196*q + 5659 - 14329 = 10496 for q. -74 Solve 2286*h - 3496 - 7092 = -1444 for h. 4 Solve 278*y - 8017 + 10319 + 17571 + 12097 = 0 for y. -115 Solve 0 = 141590*m - 141651*m - 2684 for m. -44 Solve 0 = 1068*u - 265*u + 15257 for u. -19 Solve -170*k = -3907*k - 159337 - 49935 for k. -56 Solve 4191818*s + 917 = 4191949*s for s. 7 Solve -665*h - 121*h - 1753*h - 21711 = 46842 for h. -27 Solve -891*j - 34541 - 16108 = -108*j + 12774 for j. -81 Solve 0 = 530*q - 668*q + 16998 - 2094 for q. 108 Solve -320*z - 38412 = 224*z + 38*z for z. -66 Solve 138*v - 471 = -7668 + 2529 - 4164 for v. -64 Solve 64723 = -196*v + 49827 for v. -76 Solve -45*p - 949426 = -951136 for p. 38 Solve 192*s + 81 = 339*s - 144*s for s. 27 Solve -21*w - 18*w - 9*w + 126 = -62*w for w. -9 Solve -1329*i + 2285 + 29611 = 0 for i. 24 Solve 8987 + 2191 = 130*c + 77*c for c. 54 Solve 167*n + 1936 = 460 - 695 for n. -13 Solve 256 = 17*z + 212 - 721 for z. 45 Solve 252*g - 9303 = -289*g + 15042 for g. 45 Solve -26*j - 6781 = 115*j + 23*j + 2567 for j. -57 Solve -83*f + 5402 = 339 for f. 61 Solve 1034*v - 67896 = -1918*v for v. 23 Solve -437710*n + 437661*n + 294 = 0 for n. 6 Solve 54978*p - 54951*p = -162 for p. -6 Solve -829*f + 721 - 42260 = -7565 + 10792 for f. -54 Solve -4305 = 1008*s + 18600 + 3908 - 1613 for s. -25 Solve 4687 + 5181 = -670*f + 428 - 4630 for f. -21 Solve -1383*n + 202800 = 2842*n for n. 48 Solve 49201*t + 49197*t = 98430*t - 864 for t. 27 Solve -1669*y = 843 + 25861 for y. -16 Solve -89*t - 120*t - 1552 = 3464 for t. -24 Solve 31419*n = 62794*n - 31527*n + 1520 for n. 10 Solve -740*g + 598*g - 328 = 240 for g. -4 Solve 0 = -59*g + 224*g + 613 + 47 for g. -4 Solve 15446*t - 15553*t = -2022 - 867 for t. 27 Solve 3247*r + 30650 + 15416 - 13066 = 3907*r for r. 50 Solve 622 = 4336*u - 4384*u - 1394 for u. -42 Solve -61100*s + 194404 = -59266*s for s. 106 Solve -57*l - 142*l - 84*l - 106*l = -12837 for l. 33 Solve 0 = -69*b - 119*b + 153*b - 99 - 41 for b. -4 Solve 1565*t - 25863 = -82203 for t. -36 Solve -55 + 958 = 26*h - 453 + 134 for h. 47 Solve -17292*d + 94590 = -1440*d - 30547 - 1679 for d. 8 Solve -49*k + 468 = -5*k - 83*k for k. -12 Solve -142162 = 4449*t + 49145 for t. -43 Solve 973*o - 5802 + 16486 = -14179 + 1511 for o. -24 Solve 0 = -h - 8*h + 23 - 27 + 67 for h. 7 Solve 988*n - 21601 - 7051 = 0 for n. 29 Solve 12204*q - 4455 = 12039*q for q. 27 Solve 539 = -167*o + 1570 + 258 + 1216 for o. 15 Solve -757*s - 49*s - 955 + 3395 = -6426 for s. 11 Solve -2781*o - 102548 = -36706 + 28712 for o. -34 Solve -871*l = -1157*l - 1074*l + 174080 for l. 128 Solve -2825 - 2575 = 360*v for v. -15 Solve -35019*a + 35265*a = -16974 for a. -69 Solve 0 = -3094*p - 13001*p + 1738260 for p. 108 Solve -705*t - 114232 = 1096*t - 15177 for t. -55 Solve 1357 + 411 = 884*p for p. 2 Solve 13250 = -362*m - 2678 for m. -44 Solve 8619*j - 4926*j - 435514 + 84679 = 0 for j. 95 Solve 5512 = -90*b - 3034 - 3157 + 1893 for b. -109 Solve -502401*d = -502464*d - 441 for d. -7 Solve -53282 - 125357 = 1631*p + 2465*p - 27087 for p. -37 Solve 155139 = 3364*w + 34035 for w. 36 Solve -26058 = -2976*u + 2370*u for u. 43 Solve -32293 - 17335 = -653*y for y. 76 Solve 0 = -166*x + 13*x - 621*x + 23220 for x. 30 Solve 28740*y - 31127*y = 226765 for y. -95 Solve 1273*w - 48032 = -509*w + 185*w + 22236 for w. 44 Solve 0 = -77*w + 919 + 1006 for w. 25 Solve 2904 = -848*y - 554*y + 1358*y for y. -66 Solve -1281 = 176*b - 864 + 2047 for b. -14 Solve 198*m + 4297 - 13207 = 0 for m. 45 Solve 558*d - 185*d - 14630 = -397*d for d. 19 Solve -4768*i = -1836*i + 134872 for i. -46 Solve 715 = 48*k - 1569 - 1246 + 362 for k. 66 Solve -2048*l - 15620 = 644*l + 13992 for l. -11 Solve -6977*r = -7195*r + 4796 for r. 22 Solve 6397*k = 4522 + 8272 for k. 2 Solve -30*g + 126 = -233 - 36 - 265 for g. 22 Solve -6741*w - 559 = -13492*w + 6708*w for w. 13 Solv
{ "pile_set_name": "DM Mathematics" }
(11/4)*((l*l*l/(l/(l*l**9*l)))/(l*l**1))/(l**(-1))**(-3/23) assuming l is positive. l**(-10481/828) Simplify ((((f*f**(-9)*f)/f)/(f/(f/f**(1/6))))/(f**(2/63)/(f/f**(-1/4))))**(-27) assuming f is positive. f**(5253/28) Simplify (q/(q*q**4)*q**(1/4))/(q**(2/5)*q/(q/(q*q*q*q**0*q)))*((q**(-1))**(11/2))**(6/7) assuming q is positive. q**(-1801/140) Simplify (c**(5/6)/c)**(-5/4)*(c**11)**(-1/20) assuming c is positive. c**(-41/120) Simplify (s*s**(-2/25)*s*s**(-1/10)*s*s**(-18/11)*s*s*s*s*s**13*s*s)**(-2/27) assuming s is positive. s**(-11101/7425) Simplify ((x**22/x)/(x*x**(-27)))/((x/(x*x**(2/51)*x))/(x**(1/68)/x)) assuming x is positive. x**(9599/204) Simplify ((((a**(-2/9)/a)/(a**(-3)/a*a))/(a/(a**(-3)*a))**2)**(16/7))**(2/7) assuming a is positive. a**(-1216/441) Simplify (c**6/((c/(c/c**(4/7)))/c)*(c**0)**(-42/13))/(c**(-12)*c*c*c*(((c/(c/c**(-8))*c)/c)/c)/c*c)**(-5) assuming c is positive. c**(-585/7) Simplify (m*m**(-20/7)*m)/(m*m**(-38))*(m/m**23)**43 assuming m is positive. m**(-6369/7) Simplify ((k/k**(-1))**(-21/5))**(2/7)*((k/k**(-1))/k**(-3/5))**(-2) assuming k is positive. k**(-38/5) Simplify ((i**2/i)**(-35))**(2/97)*(((i*i*i**(2/33))/i)/i**(3/7))**(-1/5) assuming i is positive. i**(-95012/112035) Simplify (j*j*(((j**10/j)/j)/j)/j*j*j*j*j**7*j)**25/(((j*j**(-1/2)*j*j*j)/(j**(-3)*j))/(j**(3/8)/j**(-5/2))) assuming j is positive. j**(3779/8) Simplify (((l*l**(2/3))/l)/l*l/(l/(l**(2/3)*l))*(l/((l**(1/3)*l)/l))**(-1))/((l**(-1))**41/(l**1*l*l/l**(2/19))) assuming l is positive. l**(2540/57) Simplify ((i*(i/(i*i**(-1/3)))/i)**(9/5)/((i*i**(-12)/i)/(i/(i*i**(-2/13)*i))))**(3/13) assuming i is positive. i**(2292/845) Simplify (m**(-1/2)*m)**(-24)/(m**(-2/7)/m*(m/(m/m**(-7)))/m)*(m*m**(-2/3)/m)**(10/7)*(m**(1/3)/m*m)/(m/(m/(m**(-2/7)*m))) assuming m is positive. m**(-85/21) Simplify ((z/z**6*z**12)/((z**(-4/7)/z)/z**(-1)))**(31/3) assuming z is positive. z**(1643/21) Simplify (((c/(c**(1/5)/c))/c*c**(-11)*(c*c*c**(2/49))/(c*c*c*c*c**(-1)))**(-20))**49 assuming c is positive. c**10936 Simplify ((m*(m**0*m*m)/m*m*m)/(m**(-2/3)*m))/((m**5/m)/((m*m**6*m)/m))*(m*m*m/m**(-1/2)*m)**(-1)*(m**(-1/4))**(1/3) assuming m is positive. m**(25/12) Simplify (((g*g**(-1/5)*g)/g*(g/g**(-5))/g)/(g*g**1*g*g)**(-18))/(g*g/(g*g**(1/4)*g)*g*(g/(g/g**(2/3))*g)/g)**41 assuming g is positive. g**(1183/60) Simplify ((i**(4/13)*i*i**6)/((i*i/i**(14/5))/i*i*i**(-5/9)*i))**(3/35) assuming i is positive. i**(4483/6825) Simplify (a/a**(1/7)*a**1)**(-2/83)*(a**6*(a*a**(-2/15))/a)**(1/2) assuming a is positive. a**(25174/8715) Simplify (h**(2/11)*h**(1/2))**(-15)/((h*(h**(1/12)*h)/h*h*h)/(h/(h/h**(-4))))**(-22) assuming h is positive. h**(4805/33) Simplify (y/((y*y**(1/18))/y)*y**(-3/7)*(y**(-5/6))**(18/7))**(-21) assuming y is positive. y**(205/6) Simplify (((u/(u/u**(-4)))/u)**19*((((u*u**(-2)*u)/u)/u)/u)**(-43))**(2/127) assuming u is positive. u**(68/127) Simplify (((i**4*i)/i**(1/13))/((i**2*i)/i)**(-9))/(((i/(i*(i*(i/i**4)/i)/i))/i)**(-22/3))**(2/17) assuming i is positive. i**(5638/221) Simplify ((w**(-34)*w**(1/17))/((w*w/w**(2/39))/w*w*w**(3/4)))**(-50) assuming w is positive. w**(2429225/1326) Simplify (h**(1/6)/(h/(h*h**(-26)))*(h**(-3/8))**39)**14 assuming h is positive. h**(-6797/12) Simplify ((r/(r/(r**(-12)*r)))/(r*(r*r*r**(2/11))/r))**(-24)*(r**(-8)*r**(-2/13)/r)/(r/r**(-2))**(-1/7) assuming r is positive. r**(307946/1001) Simplify ((m**(3/5))**36/(m**5/m)**(1/36))**(-21) assuming m is positive. m**(-6769/15) Simplify ((((g**(-1)*g)/g)/g)**(-17))**(-13)*g**(4/5)*g**(-3)*g*g**(-5)*(g**(-1/9)/g)/g assuming g is positive. g**(-20264/45) Simplify ((w*w**2)**(2/79)/(w*w**(-18)*w/(w*w**(-1/9)/w)))**35 assuming w is positive. w**(397285/711) Simplify ((w**(-5)*w*w*w**(-13))/(w/(w*w*w**10/w)*w**(-7)))**(-5) assuming w is positive. w**(-5) Simplify (((f**(2/5)*f)/f)/((f/(f*f**(-4)))/f)*(f**(-1)*f)**(-1/51))/(((f**(2/5)*f)/f)**(-2/3)/(f**1*(f/(f*f**(-6))*f)/f)) assuming f is positive. f**(14/3) Simplify ((u/(u/(u/(u/u**(2/25))))*u)**(-10)/(u/(u**(-1)*u))**34)**(-3) assuming u is positive. u**(672/5) Simplify ((((j*j/j**(2/9)*j)/j)/j**(-7/4))/((j*j**(4/9))/j*j*(j**(-2/19)/j)/j))**(-22/3) assuming j is positive. j**(-10505/342) Simplify ((h*h/((h**(2/63)/h)/h)*h**(-36))**3)**18 assuming h is positive. h**(-12108/7) Simplify (l**(2/39)/(l*l**(-5)))**30/((l**(-2/7)/l*l)/l*l**(1/7))**(4/7) assuming l is positive. l**(77836/637) Simplify ((u**4*((u/(u*u**(-2/3)/u*u))/u*u)/u*u)/((u**7*u)/u**(-2/7)))/((u*u**(-1)*u)**30*u**(-6)*u**(-9)) assuming u is positive. u**(-391/21) Simplify ((o*o**(-2/5))/(o**(-7)*o))/(o**6/o**5)*((o*o**7/o)/o**(-2))**(-11/4) assuming o is positive. o**(-383/20) Simplify (g*g**(2/23)*g*g/g**(-11))**(-48)*(g/g**(-2/5))**(-45)/((g*g/g**(-2/19)*g)/(((g**(-6)*g)/g)/g)) assuming g is positive. g**(-327435/437) Simplify ((r**(1/4)*r**20)/(((((r/(r**(-14)/r))/r)/r)/r)/(((r/(r*r**15))/r)/r)))**(-12/5) assuming r is positive. r**(117/5) Simplify ((z*(z*z**9)/z)**(2/95)*z**20/(z**5*z*z))**(-9) assuming z is positive. z**(-2259/19) Simplify ((r**(1/3)/r)**3)**(-34)*(r**2*(r/r**(2/5))/r)/(r**(2/15)/r*r*r**(-7)) assuming r is positive. r**(1147/15) Simplify ((n**(3/4)*n)/(n/(n**(-2/7)*n)))**34*((n*n/n**(1/2))**(-6/11))**27 assuming n is positive. n**(4265/154) Simplify ((h**(-4)/h*h**21)/((h*h/(h/((h*h**21)/h*h*h)))/(h**48/h)))**33 assuming h is positive. h**1287 Simplify ((q**0/q)/((q*q**(-1))/q))**8/((q/(q*q/(q**(-2/15)*q)*q))/((q/q**(-2/7))/q)*q**(3/5)*(q*q**(-1/3))/q*q) assuming q is positive. q**(16/105) Simplify ((r*r**(-1/4))**(12/7))**41*((r*(r**(-5)*r)/r*r)/(r*r*r/r**4*r))/((r/(r*r**(-1/3)))/r)**6 assuming r is positive. r**(376/7) Simplify ((s**(4/3))**(-5)*((s**24*s)/s)/s**(-1/5))**2 assuming s is positive. s**(526/15) Simplify (z**(12/5)/z)**34/(z**(2/95)/(z*z/((z*z**(-1/25))/z))) assuming z is positive. z**(23569/475) Simplify (v*v/(v**(-4/5)*v*v)*v/(v*v**(-1/15))*(v/v**(-14/9))/v*v**0)**(-2/7) assuming v is positive. v**(-218/315) Simplify (t**8/t*t*t**(-4)/t*(t*t*t**(2/7))/t**(-9))/(t*t*t**(4/3)*(t/t**(-2))/t*(t/(t*t*t*t**(-1)))**(-50)) assuming t is positive. t**(-862/21) Simplify ((h/(h/(h*h*h*h*h*h/((h*h**(-7))/h)*h*h))*h*(h*(((h*(h**27*h)/h)/h)/h)/h)/h*h)/(h**(-12/11))**(-39))**(3/10) assuming h is positive. h**(-9/55) Simplify ((x**(1/3))**(1/7)/(x/(x/x**(1/4)))**(-1/11))/(((((x**(-2)/x)/x*x*x)/x)/(x/x**4*x))/(x**(-2/3))**19) assuming x is positive. x**(-10715/924) Simplify ((h*h*h**(2/7)*h)/(h/h**(-7)))/(h**(5/2)/(h/((h*h/h**7)/h*h)))*(h/(((h/h**(-3))/h)/h)*h*h*h*h*h*h**9)**13 assuming h is positive. h**(2349/14) Simplify (s*s/s**(-2))/s**7*(((s/((s**(1/2)*s)/s))/s)/s)/(s*s/(s**(-2/3)/s)*s*s)*s/s**(4/3)*s*s/(s*s*s**(-2/19))*((s/s**0)/s)**(-50) assuming s is positive. s**(-395/38) Simplify ((f**7/((((f/(f*f**1))/f)/f)/f))/((f*f**(2/3)*f*f)/f*f)**(1/23))/(((f*f**4)/(f**7/f))/(f**(1/4))**(-4/23)) assuming f is positive. f**(814/69) Simplify ((((v*v**(13/2))/(v*v/v**(-19)))**(-31))**8)**48 assuming v is positive. v**160704 Simplify ((c/(c**(-2/69)/c*c*c))/c*c/(c**(-3/19)/c)*(c*c**(-1))**14)**(12/5) assuming c is positive. c**(6224/2185) Simplify (a*a**(-1/30))**(-20)/((a/a**30)/(((((a**47*a)/a)/a*a)/a)/a)) assuming a is positive. a**(164/3) Simplify ((o**3)**(-2/69)/(o**(-10)*o**(1/10)))**(1/5) assuming o is positive. o**(2257/1150) Simplify (m*m**(-2/5))**(-2/15)/(m**(-1)*(m**7*m)/m)*m**(3/2)/m**(-5)*m**(-5/4)/m**(1/3) assuming m is positive. m**(-349/300) Simplify ((t*t/(t*t**(-2)*t)*t*t*t/((t*t**8)/t*t)*(t**(2/7))**43)**(-3/5))**40 assuming t is positive. t**(-1392/7) Simplify ((l/(l**(2/11)*l)*l)/(l/(l**(-3)*l)))/(l**(-2/15)/(l*l**(-9)*l*l))*(l*l*l/(l*l**(-5))*l*(l**6*l)/l)/(l**7/l*l**(1/5)) assuming l is positive. l**(-41/165) Simplify ((o/o**(1/3))**(-30)*(o**(-2))**(-6))/((o**(2/9)*o)/o**0*o**(2/17)/o**(-8)) assuming o is positive. o**(-2653/153) Simplify ((q**(3/7)/q**10)/(q**(-5/8)/((q*q**(4/5))/q)))**(9/2) assuming q is positive. q**(-20529/560) Simplify (((y/(y**(-1/3)*y))/(y/(y/((y/(y/(y*y**(1/7)*y*y)))/y))))/(y/(y/(y/(y*y*(y*y**1)/y)*y)))**(4/43))/(y**(3/8)*y**2)**(-17/4) assuming y is positive. y**(242069/28896) Simplify (p**4*p*p*p*p*p**(2/3))**(9/8)*(p**(-1/3))**(6/13)/((p/p**6)/(p*p*p*p**(2/7)/p)) assuming p is positive. p**(6
{ "pile_set_name": "DM Mathematics" }
h is smaller: -33.1 or -2/7? -33.1 Which is smaller: 4 or 153? 4 Which is smaller: 418/5 or 84? 418/5 Is 1 bigger than 2/139? True Is 772 at most 769? False Which is smaller: -1/516 or 1? -1/516 Which is smaller: 2792 or -1? -1 Which is smaller: 1 or 95/986? 95/986 Which is bigger: 3190 or 3191? 3191 Which is smaller: -97 or -95? -97 Which is smaller: 17 or 34? 17 Which is bigger: 0.1 or -31/2? 0.1 Which is smaller: -34/21 or 0? -34/21 Which is smaller: -13870 or -13869? -13870 Is 3/665 less than 0? False Which is greater: 25 or -57? 25 Which is bigger: 157 or 155? 157 Are -495 and -490 non-equal? True Is -3/2224 equal to -1? False Do 1 and -2/7199 have the same value? False Which is smaller: 1 or 493? 1 Are 8.7 and -2/5 unequal? True Is 17/1133 != 0? True Is 43 less than 3? False Is 4658 >= 4658? True Is 25 > -1/4? True Which is greater: -1421/4 or -356? -1421/4 Is -3/88 less than 1? True Is -9 >= 4? False Is 0 less than or equal to 2/93? True Which is smaller: 43 or 54? 43 Which is smaller: -3/1687 or -1? -1 Which is smaller: 1953/8 or 244? 244 Which is bigger: 5213 or 1? 5213 Do -248/19 and -13 have different values? True Which is greater: -813 or -814? -813 Which is smaller: -1237 or -14? -1237 Which is smaller: -226 or -677/3? -226 Do 0 and 1/15781 have different values? True Which is smaller: 69 or 480/7? 480/7 Is -16173 at least -16175? True Is -130 < -3/5? True Is 486 <= 0.1? False Which is bigger: -0.1 or -2/61? -2/61 Do 0.2 and 40 have different values? True Which is greater: 1 or 1/33? 1 Which is bigger: 7 or -36? 7 Which is greater: 7/2 or 59? 59 Which is bigger: -5/377 or 0? 0 Which is smaller: -2/12357 or -1? -1 Is -315 greater than 5? False Which is greater: -1 or -2? -1 Which is smaller: 1498 or 1497? 1497 Does 33/344 = -1? False Is -2/395 > 22? False Do -23/262 and -1 have the same value? False Are -153 and -149 non-equal? True Which is smaller: 0 or -10/437? -10/437 Is -26592 greater than or equal to -26594? True Is -3493 bigger than -3494? True Is 27/541 > 0? True Is -9 bigger than -11? True Which is smaller: -56 or 1/4? -56 Which is greater: 1510 or 1512? 1512 Which is smaller: 349 or 1/3? 1/3 Is 0 greater than or equal to -0.1817? True Which is smaller: -1 or -7/255? -1 Which is greater: -5.5 or 3/8? 3/8 Is 34 bigger than 360/11? True Is -628 at most as big as -627? True Is 1 != 32/1113? True Which is bigger: 1 or 72/467? 1 Is -1/117 > -0.1? True Is 1301 > 1302? False Which is greater: -12 or -17? -12 Is 325 less than 326? True Are -1/3 and 37 unequal? True Is -58 at least -56? False Is -1/1347 less than 1? True Which is bigger: 1549 or 1550? 1550 Which is smaller: 809 or 807? 807 Which is smaller: -1 or -4/43? -1 Which is bigger: 367 or -8? 367 Which is bigger: -137 or 17/4? 17/4 Is 121 at least as big as 120? True Which is smaller: 14/23 or 4? 14/23 Which is bigger: -39 or -0.043? -0.043 Which is smaller: 209 or 203? 203 Which is smaller: 9.08 or -0.2? -0.2 Which is smaller: -294 or -256? -294 Is -2/9 at most 83? True Which is smaller: 4 or -655? -655 Which is smaller: 705 or 702? 702 Is -7750/7 > -1107? False Is 78 less than -0.3? False Which is bigger: 0.2 or 15? 15 Is -0.84 bigger than -2? True Does -78703/3 = -26234? False Is -186 < -187? False Is 2 at least as big as 2.25? False Which is smaller: -264 or -268? -268 Which is smaller: -2 or -68/21? -68/21 Do -2 and -96/91 have different values? True Is 231 at most 231? True Which is smaller: -610 or 1? -610 Is -2.95 less than -7? False Is 1 < -58/51? False Is -23 at least -21? False Is -249 < -1246/5? False Is 983/2 <= -13? False Which is greater: -55/138 or 0? 0 Which is bigger: -2/25 or 6? 6 Which is greater: 1 or -57/2035? 1 Is -0.0092 greater than -2? True Is 1 > 2/18785? True Are -4671 and -4670 non-equal? True Which is smaller: -2.5 or -217? -217 Which is bigger: 0 or 74/69? 74/69 Which is smaller: 1412 or 1411? 1411 Is -6 >= -119/24? False Which is greater: -70 or 35? 35 Is -227/65 greater than -3? False Which is bigger: 1 or 542? 542 Which is smaller: 157 or 68? 68 Is 36 < 1/5? False Is 2/2135 less than or equal to 0? False Is 43/196 equal to -1? False Is 14 > -2/7? True Which is greater: 2 or -19? 2 Which is bigger: 5809 or 0.2? 5809 Is 1/4 less than -164? False Is -1/4388 smaller than 1? True Is 806 >= 0.1? True Is -110 > -2508/23? False Which is smaller: 8 or 14? 8 Is 5/361 less than 1? True Does 1/2 = -1695? False Which is bigger: 25 or 196? 196 Are -3 and -60/23 nonequal? True Is 362/7 < 51? False Which is smaller: -7 or 122? -7 Which is smaller: -1779 or -3? -1779 Are 45 and 47 equal? False Is -1 greater than -881? True Is 2824 <= 1? False Is -2321 <= -2320? True Which is smaller: 3 or 21? 3 Do 6 and 174 have the same value? False Do 71 and 499/7 have the same value? False Are -223 and -223 nonequal? False Which is smaller: -161 or -0.07? -161 Which is bigger: 112 or 96? 112 Which is smaller: -269 or 6? -269 Is -530 <= -2/5? True Which is greater: 3/155 or 1/7? 1/7 Which is greater: -1 or -11/597? -11/597 Which is greater: 19/105 or -2/5? 19/105 Which is greater: -303 or 5? 5 Which is smaller: 0 or -2.534? -2.534 Which is smaller: -5595 or -11189/2? -5595 Are -142 and -141 non-equal? True Which is greater: 3318/17 or 195? 3318/17 Which is smaller: 2/2065 or 0? 0 Is 2537 >= 2536? True Is -58 less than or equal to -535/9? False Which is bigger: 2 or -8.4? 2 Is -0.4 not equal to -138? True Which is smaller: -1 or -2/171? -1 Is 14369 at most 14369? True Which is smaller: 69/11 or 2? 2 Which is bigger: 1/7793 or 1? 1 Is -345 > -345? False Is -4452 > -4453? True Which is smaller: -1851 or -1857? -1857 Is 27 at least 35? False Is -3175 smaller than -3177? False Which is smaller: -255 or -250? -255 Is 4322 greater than or equal to 1? True Which is greater: 0 or 1/900? 1/900 Which is bigger: -2/1295 or 0? 0 Which is greater: -23 or 3? 3 Which is smaller: -199 or 0? -199 Which is bigger: 115 or 118? 118 Which is smaller: -1604 or -1607? -1607 Is 5016 < 5013? False Are 1 and -9/659 equal? False Is -125 <= -122? True Which is smaller: -926 or -910? -926 Which is greater: 0.11 or 1/9? 1/9 Which is bigger: -2 or -6/11? -6/11 Is -58 bigger than -1? False Are 8/15 and 0 equal? False Are 0.05 and 1769 equal? False Which is bigger: 16/983 or 1? 1 Are 1737 and 1734 equal? False Is -144/59 != -1? True Is 2328 at least 2330? False Is -67/2 at least as big as -34? True Is 1/1200 < 1? True Which is smaller: -2982 or -2/9? -2982 Which is smaller: 1/14 or 121? 1/14 Is 1/2 at least as big as 2343? False Which is greater: -3/3760 or 0? 0 Which is smaller: -1 or -1/352? -1 Is -331 >= -329? False Is -568 > -567? False Is -1/432 smaller than 1? True Which is bigger: -91 or 1? 1 Is 3/7 at least -4? True Which is smaller: 0.22 or 66/29? 0.22 Is 1649 smaller than -2/11? False Is 7993 <= 7997? True Are -2/16099 and 1 equal? False Does 2330 = 2331? False Which is bigger: 8 or 346/45? 8 Which is bigger: -0.4 or -1494? -0.4 Which is smaller: -2/56579 or -1? -1 Which is smaller: 31/122 or -1? -1 Which is bigger: -1490 or -1487? -1487 Is 4817 greater than or equal to 4817? True Which is greater: -0.29 or 41/4? 41/4 Which is bigger: 3/2077 or 0? 3/2077 Which is smaller: 531/2 or 267? 531/2 Which is smaller: 84/19 or 5? 84/19 Which is greater: -1614 or -1615? -1614 Which is smaller: 0 or 23/30? 0 Is 1/207 < 3/4? True Do 1984 and 1984 have the same value? True Which is greater: -1 or 2/45725? 2/45725 Is -4 at most as big as -97/27? True Which is greater: -4/6269 or 0? 0 Is -1 >= -154/519? False Is -17548 at least 0? False Which is smaller: 5/9 or 2? 5/9 Do 3/119 and 1/4 have the same value? False Which is bigger: 2079 or 2077? 2079 Which is smaller: -195 or -198? -198 Which is greater: 0.115 or -2? 0.115 Which is bigger: -6 or -8? -6 Which is smaller: 3113 or 3119? 3113 Is -6 not equal to 8/7? True Is 0 at most 2/5473? True Which is bigger: -44288 or -1/4? -1/4 Which is bigger: 3091 or 3090? 3091 Which is smaller: 25/18 or 1? 1 Which is smaller: 1642 or 1639? 1639 Which is smaller: -180/7 or -25? -180/7 Which is bigger: -810 or -813? -810 Which is smaller: -22/735 or -1? -1 Is -3 less than or equal to -2/2073? True Which is greater: 1 or -28/229? 1 Is 4/501 >= 0? True Is 501 greater than or
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from wwzdwdwwwwwdddwwd? 1/34 Calculate prob of picking 1 t, 1 m, and 1 c when three letters picked without replacement from cucccmcmttcmtc. 9/52 Four letters picked without replacement from eeeyye. Give prob of picking 3 e and 1 y. 8/15 What is prob of picking 1 t and 1 v when two letters picked without replacement from {o: 2, t: 4, v: 3, y: 1}? 4/15 Two letters picked without replacement from oomzqzzmmfqmqmm. What is prob of picking 1 m and 1 f? 2/35 Three letters picked without replacement from {f: 5, d: 9, v: 2}. Give prob of picking 1 d and 2 f. 9/56 What is prob of picking 2 k and 2 q when four letters picked without replacement from {k: 4, b: 2, q: 3}? 1/7 Two letters picked without replacement from ymddryrlldre. Give prob of picking 1 l and 1 r. 1/11 Calculate prob of picking 1 i and 2 w when three letters picked without replacement from qiiwiswmiwwww. 30/143 Two letters picked without replacement from uuuuuuuuuuwwu. What is prob of picking 1 u and 1 w? 11/39 Four letters picked without replacement from lslslsqsslsbbllsslq. What is prob of picking 2 s and 2 q? 7/969 Two letters picked without replacement from {u: 13, l: 3}. What is prob of picking 2 l? 1/40 What is prob of picking 1 r and 2 u when three letters picked without replacement from kkuukkkuukrkkurk? 1/28 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {i: 1, l: 1, n: 1, p: 1, y: 1, r: 2}. 1/21 Two letters picked without replacement from {l: 7, n: 11, i: 1}. Give prob of picking 1 l and 1 n. 77/171 Two letters picked without replacement from {c: 1, n: 2, h: 2}. Give prob of picking 1 n and 1 c. 1/5 Four letters picked without replacement from ssssespsyyptsy. Give prob of picking 1 s and 3 y. 1/143 Three letters picked without replacement from gwccgggcwcgggvccnc. What is prob of picking 1 c, 1 g, and 1 v? 49/816 Four letters picked without replacement from nttntnntuxttntxttn. Give prob of picking 1 x and 3 n. 2/153 Two letters picked without replacement from {k: 10, b: 2}. What is prob of picking 1 k and 1 b? 10/33 Four letters picked without replacement from {n: 6, k: 4, m: 1, p: 5}. What is prob of picking 1 p and 3 n? 5/91 Calculate prob of picking 1 f, 2 q, and 1 c when four letters picked without replacement from cqqccqpqqcqcccqfq. 7/85 What is prob of picking 3 g when three letters picked without replacement from {g: 7, j: 6}? 35/286 Three letters picked without replacement from {q: 1, a: 1, m: 3, h: 2, z: 4}. What is prob of picking 2 z and 1 m? 6/55 Four letters picked without replacement from {r: 3, j: 6, m: 8}. Give prob of picking 4 j. 3/476 Three letters picked without replacement from dssvmd. What is prob of picking 1 v and 2 d? 1/20 Two letters picked without replacement from {c: 12, g: 6}. Give prob of picking 2 g. 5/51 Three letters picked without replacement from {s: 3, u: 7}. What is prob of picking 3 u? 7/24 Two letters picked without replacement from {c: 1, f: 10, j: 3, i: 4, l: 1}. Give prob of picking 1 j and 1 c. 1/57 Calculate prob of picking 1 h and 1 p when two letters picked without replacement from kmhkkkpw. 1/28 Four letters picked without replacement from iispdspjidws. What is prob of picking 2 i, 1 j, and 1 w? 1/165 What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 5, i: 1, r: 11}? 55/136 Four letters picked without replacement from yfyyfffffffyyf. Give prob of picking 4 y. 5/1001 Calculate prob of picking 2 s when two letters picked without replacement from ffplssmlpflf. 1/66 What is prob of picking 1 b, 2 j, and 1 v when four letters picked without replacement from {v: 1, f: 4, j: 6, b: 5}? 15/364 Calculate prob of picking 1 z, 1 y, and 1 v when three letters picked without replacement from yzfvvvvffvffvfzyvaaf. 7/285 Three letters picked without replacement from boooboobob. Give prob of picking 3 o. 1/6 What is prob of picking 1 z and 3 g when four letters picked without replacement from gzggggzgggg? 28/55 Calculate prob of picking 2 n and 2 s when four letters picked without replacement from {c: 3, n: 4, s: 5}. 4/33 What is prob of picking 2 r and 2 a when four letters picked without replacement from rraara? 3/5 Four letters picked without replacement from {g: 2, w: 2, s: 3, k: 2, l: 6}. What is prob of picking 2 s and 2 w? 1/455 Two letters picked without replacement from itsvsltir. What is prob of picking 1 v and 1 t? 1/18 Four letters picked without replacement from ozzww. What is prob of picking 1 o, 2 w, and 1 z? 2/5 What is prob of picking 2 c and 1 b when three letters picked without replacement from {y: 2, c: 4, b: 1}? 6/35 What is prob of picking 2 k when two letters picked without replacement from {s: 12, k: 4, b: 4}? 3/95 Calculate prob of picking 1 l, 1 z, and 1 r when three letters picked without replacement from zxxzxzlzxlxxxlxrlqlx. 1/57 Four letters picked without replacement from {j: 3, v: 7}. What is prob of picking 3 j and 1 v? 1/30 Three letters picked without replacement from ngxgxnnxnxgx. What is prob of picking 2 g and 1 x? 3/44 What is prob of picking 1 f, 1 t, and 1 k when three letters picked without replacement from {k: 4, a: 4, v: 3, f: 3, r: 1, t: 5}? 1/19 Four letters picked without replacement from ytytcycy. Give prob of picking 1 c, 2 y, and 1 t. 12/35 Two letters picked without replacement from {i: 2, d: 5, b: 2}. Give prob of picking 1 b and 1 d. 5/18 Four letters picked without replacement from gzczgcczczgzzczzzcc. Give prob of picking 1 c, 2 z, and 1 g. 63/323 Calculate prob of picking 1 w, 1 l, and 1 z when three letters picked without replacement from fzfbbflzfbbfzlfbwlf. 3/323 What is prob of picking 2 q when two letters picked without replacement from {m: 2, q: 2, l: 1, a: 1}? 1/15 Four letters picked without replacement from {d: 2, l: 5, h: 1, z: 4, p: 4}. Give prob of picking 2 d, 1 l, and 1 z. 1/91 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from iikkfiiciciciucc. 1/12 Three letters picked without replacement from rxhxhirirxr. What is prob of picking 2 r and 1 x? 6/55 What is prob of picking 1 g, 1 m, and 1 s when three letters picked without replacement from mmmtmmtgmmmsttmsm? 1/34 Calculate prob of picking 2 t when two letters picked without replacement from vtdvsvxtvsstsv. 3/91 Two letters picked without replacement from kiipipkiipppp. What is prob of picking 2 i? 5/39 Calculate prob of picking 1 x and 2 d when three letters picked without replacement from iixttiiqdixxiidxxq. 5/816 Three letters picked without replacement from eeeee. What is prob of picking 3 e? 1 What is prob of picking 1 r and 2 y when three letters picked without replacement from {y: 2, r: 11}? 1/26 Four letters picked without replacement from nlkrjkrjrjkskr. Give prob of picking 1 n, 1 j, and 2 k. 18/1001 What is prob of picking 1 q, 1 k, and 1 t when three letters picked without replacement from kdxttqqttqktttdtttq? 80/969 What is prob of picking 1 x, 1 v, and 1 m when three letters picked without replacement from {l: 2, m: 1, v: 2, x: 1, s: 1}? 2/35 Three letters picked without replacement from xixxxxiixxxixi. What is prob of picking 2 i and 1 x? 45/182 Two letters picked without replacement from zzqzzbzzbqrqzzqbzr. What is prob of picking 1 r and 1 q? 8/153 Four letters picked without replacement from {f: 4, k: 3}. What is prob of picking 1 k and 3 f? 12/35 What is prob of picking 1 p and 2 o when three letters picked without replacement from {o: 2, p: 5, a: 2, l: 2, h: 2}? 5/286 Calculate prob of picking 3 n and 1 u when four letters picked without replacement from unuununnunnn. 35/99 What is prob of picking 1 y, 1 g, 1 r, and 1 a when four letters picked without replacement from {a: 2, h: 5, r: 5, u: 2, y: 2, g: 1}? 1/119 Two letters picked without replacement from {n: 3, l: 1, z: 2, o: 6, s: 2}. What is prob of picking 1 s and 1 o? 12/91 Two letters picked without replacement from zzvvvzsv. Give prob of picking 1 s and 1 v. 1/7 Two letters picked without replacement from {p: 6, z: 1, h: 2, x: 3, l: 1, r: 2}. Give prob of picking 1 z and 1 x. 1/35 Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fwwffwffweffeewwe. 7/34 Three letters p
{ "pile_set_name": "DM Mathematics" }
ond derivative of k(j). Suppose -1 - 7 = 4*q. Determine p(q). -6 Suppose 3*o = 5*y + 19, 0 = 3*y + o + 24 - 21. Let j(s) = s + 1. Give j(y). -1 Let t(m) = -m - 3. Let p(d) = 8*d + 20. Let a(x) = 6*p(x) + 40*t(x). Let y be (-1705)/(-35) + 6/21. Let k be 4/(-10) - y/(-35). Determine a(k). 8 Let s(b) = -6*b - 1. Let q(f) = -19*f - 10. Let g be q(-4). Let c be g/22 + -1 + 0. Give s(c). -13 Let u(b) be the second derivative of -b**3/3 + b**2/2 + 5*b - 6. Suppose 12 = 2*w - d, 4 = -2*w + 3*d - 6*d. Calculate u(w). -7 Suppose 0 = -w - 2*c + 4, 4 = w - 0*c - 2*c. Suppose 3*p - 2*y - 16 = -0*y, 23 = 4*p - 3*y. Let r be (p/w)/(2/12). Let t(m) = -4*m + 1. Determine t(r). -11 Let p(v) = -4*v**3 + v + 2. Let s be p(-2). Suppose -s = -f - 30. Let a(y) = 3*y**f + 3*y - 3*y**3 + 0*y**3 + 4 + 2*y**3. What is a(4)? 0 Let n(m) be the first derivative of -15*m**2/2 - m + 1. Let s(j) = j**3 - 15*j**2 + 62*j - 49. Let b be s(8). Determine n(b). 14 Let u = -941 + 930. Let p(j) = 3*j - 11. Calculate p(u). -44 Let r(n) = n**2 - 10*n + 10. Let u(z) = -z - 1. Let h(d) = 8*d**2 - 2*d - 6. Let i(j) = h(j) - 4*u(j). Let s be i(1). Give r(s). -6 Let c(u) be the second derivative of 1/6*u**3 + 9*u + 1/6*u**4 + 0 + 0*u**2. Give c(-1). 1 Let t = -18 - -85. Let r = t + -64. Let l(s) = 3*s - 3 - 4*s + 0*s**2 + s**2. Give l(r). 3 Let t = 1115 + -1120. Let f(u) = u**2 - 5*u + 1. Calculate f(t). 51 Let k(d) be the first derivative of d**4/4 + 6*d**3 - 10*d + 331. Determine k(-18). -10 Let z be 1*((-2 - 0) + 1 + 1). Suppose 5*p = h + 11, z = 2*h + 2*h - 3*p - 24. Let u(o) = -o**2 + 10*o - 5. What is u(h)? 4 Let k(a) = 5*a**2 - 146*a - 3 + 301*a + 5*a**3 - 152*a. Let r(o) = 9*o**3 + 10*o**2 + 6*o - 5. Suppose 4*w + 0*w = -16. Let z(h) = w*r(h) + 7*k(h). Give z(-4). -5 Let k be -1 - (-11)/2 - 1/(-2). Let i(m) = -3 - m - 1 + 4*m - k. Determine i(6). 9 Let c(h) = 8*h**2 - 4*h - 3. Let z(k) = -6*k**2 + 4*k + 3. Let w(l) = 2*c(l) + 3*z(l). Calculate w(5). -27 Let n(o) = 2*o - 12. Let k be 1/(4/24) - -3. Suppose 0 = 5*j - 6*j + k. Calculate n(j). 6 Let v = 6 + -1. Let c be ((-6)/(-15))/(1/v). Let u(p) be the first derivative of -3*p**4/4 + p**3 - p**2/2 + 2*p + 11. Determine u(c). -12 Suppose -3*b = 5*v - 75, 0*b = 2*v - 2*b - 46. Let g = v + -15. Let q(c) = c**3 - 4*c**2 + c + 4. Calculate q(g). -2 Suppose 0 = v + i, 3*i - 10 = -4*v + 4*i. Suppose v*k - m - 1 = 4, -5*k + m = -11. Let z(t) = -5*t + 1. Calculate z(k). -9 Suppose 0 = 312*v - 328*v - 16. Let t(y) = -9*y**3 + y + 1. What is t(v)? 9 Let k(x) = -27*x + 10. Let y = 100 - 98. Let a(z) = 5*z - 2. Let u(s) = y*k(s) + 11*a(s). Calculate u(7). 5 Let n(l) = -l**2 - 4*l + 4. Let z = 26 - -16. Suppose -z = m - 37. What is n(m)? -1 Let b(j) be the first derivative of j**3/3 - 5*j**2/2 - 4*j - 91. Give b(-3). 20 Suppose 28*w - 32*w + 24 = 0. Let x be (4/w)/(2/6). Let p(r) = r**2 - r + 1. Give p(x). 3 Let r(d) = d**2 - 4*d**3 - 3*d**2 + 2*d**3 - 4*d - 7*d**2. Let a be r(-4). Let p(t) = -t**3 - t**2 - t + 11. Give p(a). 11 Let z(a) = -1 + 41*a**3 + 2*a**3 + 2*a - 10*a**3 - 2*a**2. Give z(1). 32 Let r(s) = -18 + 4*s + 3*s - 5*s + s**2 + 4*s. Let q be r(-8). Let b(h) = h**3 + 6*h**2 + 3*h. Calculate b(q). 10 Let g(k) = k**3 + 1 + 0*k**2 + 3*k + 4*k**2 - 4*k**2 - 5*k**2. Suppose 3*n = 8*z - 4*z + 4, -4*z + 12 = n. What is g(n)? -3 Let h(j) be the second derivative of 3/2*j**2 + 1/20*j**5 + 0*j**3 - 4*j + 1/12*j**4 + 0. Determine h(0). 3 Let g = -43 - -46. Suppose 2*r = -3*t - 5, r + 1 = -3*t + g*r. Let v(w) be the first derivative of -3*w**4/4 + w**2/2 + 1. Calculate v(t). 2 Let l(g) = -g**2 + 5*g - 4. Let a be l(1). Let n(j) = j**2 - 3*j + 7. What is n(a)? 7 Let l(d) = -2*d**2 - 16*d + 24. Let s be l(-9). Let v(b) = b**3 - 5*b**2 - 9*b + 2. Give v(s). -16 Let y(b) = b + 12. Let m = -4 - -3. Let w be m - (-3 + 6 + 1). Determine y(w). 7 Let f(g) = 3*g + 19. Let r = 186 + -195. What is f(r)? -8 Let h(y) = 2*y + 24. Suppose -14*l - 129 + 45 = 0. Calculate h(l). 12 Let m(g) = -g**3 - 4*g**2 + 5*g - 5. Let w(f) = f. Let v(o) = m(o) - w(o). Give v(-5). 0 Suppose 5*v = -5*b + 2*v + 10, 0 = -b - 5*v + 2. Let c(w) = 12 + w**3 + 2*w**b + 2*w**2 - 10. Calculate c(-4). 2 Let i(n) = -2*n**2 - 15*n - 18. Let f be i(-6). Let m(x) = x**2. Calculate m(f). 0 Let g be 6 + (-4)/1 - 143. Let j = g + 143. Let l(o) = o**2 + 1. Determine l(j). 5 Let f(x) = x**3 + 7*x**2 + 10*x + 29. Let c be f(-6). Let v(o) = o**3 - 7*o**2 + 3*o - 4. Give v(c). -39 Let a(m) be the third derivative of -m**5/60 + m**3 - 5*m**2. Let z(p) = -20*p - 60. Let h be z(-3). Determine a(h). 6 Let i be (3/(-2))/((-12)/88). Let l = i - 12. Let f(z) be the second derivative of z**5/4 + z**3/6 + z**2/2 + 4*z. Calculate f(l). -5 Let j(s) be the first derivative of s**4/4 - 8*s**3/3 - s**2/2 - s - 2. Let d = -163 - -171. Calculate j(d). -9 Suppose -4*m + 18 = -10. Let o(d) = -6*d**3 - 7*d**2 + 9*d + 7. Let u(x) = 3*x**3 + 4*x**2 - 5*x - 4. Let r(y) = m*u(y) + 4*o(y). What is r(1)? -2 Let w = 16 + -13. Suppose 2*j - w = -13. Let g(r) = -2*r - 3. Give g(j). 7 Let k(x) be the third derivative of x**4/12 - x**3/6 + 20*x**2 + 14*x. Let f(b) = -b**2 - 2*b + 1. Let l be f(-2). What is k(l)? 1 Let o = 1279 - 1276. Let a(u) = 3*u - 4*u + 2*u - u**2 + 3. Calculate a(o). -3 Let g(m) = -2*m + 5. Let v = -4 + 12. Suppose -5*t + 4 = 4*u, 20 = v*t - 4*t - u. Suppose t = 2*n - n. Determine g(n). -3 Let m(i) be the second derivative of -i**5/20 + i**4/12 + i**3/3 + i**2/2 - 141*i + 1. Calculate m(-2). 9 Suppose 159 = -129*u - 30*u. Let m(a) = -9*a + 4. Let l(w) = -1. Let t(f) = 5*l(f) + m(f). Determine t(u). 8 Let j(g) = g - 4. Suppose -1 = 2*z - 3*z, -5*z = 3*b - 62. Suppose -5*w + b = -51. Let a be (w/21)/(2/12). Determine j(a). 0 Let c(o) be the second derivative of -2*o**3/3 + 55*o**2/2 + 321*o. What is c(12)? 7 Suppose 23*k = -21*k + 616. Let v(p) = p**2 - 13*p - 4. Calculate v(k). 10 Suppose 5*b + 60*k - 56*k - 11 = 0, 3*b + k = 1. Let p(x) = -26*x**2 - 3*x - 2. Calculate p(b). -25 Let w(m) = -m - 3. Let t be w(3). Suppose 3*z - 3*b + 19 = 1, 2*z + b - 3 = 0. Let i(n) = 3*n. Let c(p) = p. Let u(k) = z*i(k) + 4*c(k). Give u(t). -6 Suppose 264*d + 48 = 240*d. Let g(s) = 22*s - 1. Give g(d). -45 Let y(s) be the second derivative of -s**6/144 + s**5/120 + s**4 + 25*s. Let q(i) be the third derivative of y(i). Calculate q(1). -4 Let a = -3 + -4. Let i be (2/(8/(-3)))/((-3)/12). Let b(w) = 7*w + 9 + 2*w**3 + 11*w**2 - i*w**2 - w**3. What is b(a)? 9 Suppose -n - 30 + 33 = 0. Let u(i) = -3*i**2 - 1 + 3*i - i**3 + 0*i**n - i**2 + i**2. Calculate u(-4). 3 Suppose 55 = -5*u - 0*u. Let y = u + 9. Let a be 1*(0 + (y - 1)). Let l(f) = -f**2 - 4*f - 2. Calculate l(a). 1 Let x(p) = 8*p - 35. Let m(q) = -6*q + 24. Let i(s) = 7*m(s) + 5*x(s). Give i(-4). 1 Let v(z) = 3*z**3 + 46*z + 2*z**2 + 42*z - 4*z**2 - 86*z. Determine v(2). 20 Suppose 5 = 5*g - 5*d, -5*d = 3*g - 34 - 1. Let z = -11 - -19. Let n = g - z. Let o(u) = -u**2 - 6*u + 1. What is o(n)? 10 Let q be (-1)/(-2)*-1*(-64)/8. Let r(o) = o**3 + o**2 - o - 1. Let d(t) = -2*t**3 - 8*t**2 + 4*t + 5. Let l(i) = -d(i) - 3*r(i). Calculate l(q). 10 Let g(p) = -p**3 - p**2 + 4*p - 4. Let s(d) = d**3 - 3*d + 3. Suppose 0 = -6*v + 10*v - 20. Let u(n) = v*g(n) + 6*s(n). Calculate u(5). 8 Let s be 14/(-1)*(-6)/21. Let m = s + -4. Let h(x) = x + 2 + m + 0*x + 0. What is h(-5)? -3 Let b be (-5)/(-2*1/(-4)). Let k(j) = -3*j - 19. Determine k(b). 11 Let t(h) be the second derivative of -h**5/20 + 7*h**4/6 + 2*h**2 + 2*h - 18. What is t(14)? 4 Let j(t) = -4*t - 1. Suppose 5*u - 4*u = -84. Let r be 1/((-4)/u*-3). Let v be (-8)/(-12) + r/(-3). Determine j(v). -13 Let s(q) be the third derivative of -5*q**2 + 0*q + 1/60*q**5 + 1/2*q**3 + 0 + 5/24*q**4. Give s(-3). -3 Let m(o) be the second derivative of -o**5/20 - o**4/6 + o**3/6 - o**2/2 + 34*o + 1. Determine m(-3). 5 Let r(i) = -i**2 + 34*i - 117. Let l be r(4). Let o(z) = z**2 - 4 + 1 - z**3 + z**2 + 4*z. Calculate o(l). 0 Let s = 14 + -12. Suppose 3*u - 31 = -2*u - 3*f, 2*u = -s*f + 14. Let w(a) = -a**3 - 4 + u - 2*a**3 + 2*a**3. Calculate w(0). 1 Let x(r) be the second derivative of -r**7/840 + r**6/120 + r**5/120 - r**4/8 - 5*r**3/2 - 9*r. Let v(t) be the second derivative of x(t). Determine v(4). -15 Let d(v) = v**2 + 5*v + 1. Let
{ "pile_set_name": "DM Mathematics" }
3/28 Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {i: 3, p: 7}. 21/40 Two letters picked without replacement from nhxxwxt. What is prob of picking 1 h and 1 x? 1/7 Calculate prob of picking 1 o and 1 l when two letters picked without replacement from luuuuzov. 1/28 Calculate prob of picking 1 j, 1 s, and 1 g when three letters picked without replacement from {x: 2, k: 1, j: 1, s: 3, y: 1, g: 3}. 3/55 Calculate prob of picking 4 t when four letters picked without replacement from ttitttttttttttttitti. 28/57 Two letters picked without replacement from uzaaixkizkkakau. Give prob of picking 1 k and 1 u. 8/105 Two letters picked without replacement from {u: 1, l: 3, r: 2, o: 1, w: 1, q: 5}. What is prob of picking 1 u and 1 l? 1/26 What is prob of picking 2 m when two letters picked without replacement from {a: 3, f: 2, u: 4, m: 6}? 1/7 What is prob of picking 1 r and 1 t when two letters picked without replacement from rtrrrt? 8/15 Two letters picked without replacement from {d: 2, b: 1, m: 1, x: 3, j: 1, e: 3}. Give prob of picking 1 b and 1 d. 2/55 Three letters picked without replacement from ffffff. What is prob of picking 3 f? 1 Calculate prob of picking 1 i and 3 f when four letters picked without replacement from ffiiiff. 12/35 Calculate prob of picking 4 h when four letters picked without replacement from {y: 3, p: 1, z: 1, h: 5}. 1/42 What is prob of picking 3 w when three letters picked without replacement from wtwwwwwtw? 5/12 Three letters picked without replacement from gggggggiigggiggggi. Give prob of picking 3 i. 1/204 Two letters picked without replacement from ppxppprpxppppprpxp. Give prob of picking 2 r. 1/153 Four letters picked without replacement from lelqqehleene. Give prob of picking 1 l, 1 h, 1 q, and 1 n. 2/165 What is prob of picking 2 v, 1 k, and 1 b when four letters picked without replacement from {d: 6, v: 2, t: 1, b: 1, k: 2, j: 6}? 1/1530 Four letters picked without replacement from zzzlzclzc. What is prob of picking 1 c and 3 z? 10/63 Two letters picked without replacement from ukkkktkxqkukjkx. Give prob of picking 1 t and 1 x. 2/105 What is prob of picking 1 z and 2 o when three letters picked without replacement from {z: 3, o: 12}? 198/455 Two letters picked without replacement from jtttpmjmttum. What is prob of picking 2 t? 5/33 Calculate prob of picking 1 e and 1 k when two letters picked without replacement from ellllkiliaikg. 1/39 What is prob of picking 1 s, 2 j, and 1 h when four letters picked without replacement from {f: 1, b: 6, h: 2, j: 1, s: 5}? 0 Calculate prob of picking 3 z and 1 t when four letters picked without replacement from ztzztzztzzztzzztzzz. 455/969 Calculate prob of picking 3 i when three letters picked without replacement from iiiiii. 1 Calculate prob of picking 2 b and 2 i when four letters picked without replacement from {u: 6, n: 1, i: 2, b: 2}. 1/330 Four letters picked without replacement from {m: 3, x: 1}. Give prob of picking 4 m. 0 Two letters picked without replacement from vvqwvvwcpvjpw. What is prob of picking 1 j and 1 w? 1/26 Two letters picked without replacement from iviiiiiiiiiiiiiiiiii. What is prob of picking 1 v and 1 i? 1/10 What is prob of picking 3 f when three letters picked without replacement from {s: 6, o: 4, f: 3}? 1/286 Two letters picked without replacement from {u: 3, d: 4, j: 1, f: 4, r: 1}. Give prob of picking 1 u and 1 f. 2/13 What is prob of picking 2 k, 1 m, and 1 s when four letters picked without replacement from snmsmnksksnd? 8/495 Three letters picked without replacement from criizww. What is prob of picking 1 w, 1 z, and 1 i? 4/35 What is prob of picking 1 m and 2 d when three letters picked without replacement from mudmmmudmummmmmmdm? 3/68 What is prob of picking 2 i when two letters picked without replacement from fpwzwiwiizzzzzffp? 3/136 Three letters picked without replacement from {n: 4, u: 3, g: 10, q: 3}. Give prob of picking 3 n. 1/285 Two letters picked without replacement from icccccbccccq. What is prob of picking 1 c and 1 i? 3/22 Calculate prob of picking 2 f, 1 k, and 1 h when four letters picked without replacement from kyhgffqggyqgfyy. 1/455 Calculate prob of picking 2 q and 2 z when four letters picked without replacement from {q: 3, k: 1, i: 6, z: 3}. 9/715 Three letters picked without replacement from {o: 3, a: 3, q: 3, f: 10}. What is prob of picking 2 o and 1 q? 3/323 Calculate prob of picking 2 p and 1 q when three letters picked without replacement from aaqaqqqqqwqpkpaxa. 7/680 Four letters picked without replacement from mkymymmyymmym. Give prob of picking 3 m and 1 k. 7/143 Two letters picked without replacement from hhhnnh. What is prob of picking 2 h? 2/5 Two letters picked without replacement from {m: 2, s: 1, l: 5, q: 1, g: 1}. What is prob of picking 1 m and 1 l? 2/9 Calculate prob of picking 1 f, 2 z, and 1 r when four letters picked without replacement from rgfzzfzzzfgz. 1/11 Calculate prob of picking 1 z, 1 s, and 1 e when three letters picked without replacement from zzzzieiggtsizzi. 6/455 Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {y: 1, u: 3, p: 5, c: 7}. 7/40 Four letters picked without replacement from {t: 4, v: 5, q: 2, c: 7}. What is prob of picking 1 c, 2 q, and 1 v? 7/612 Two letters picked without replacement from {v: 1, n: 4, z: 1, t: 4, k: 1, j: 1}. What is prob of picking 1 z and 1 k? 1/66 Calculate prob of picking 1 s and 2 q when three letters picked without replacement from qqqqqqqqqqqqqqqqsqq. 3/19 Three letters picked without replacement from pqeeppeeeeeqqepeee. Give prob of picking 1 p, 1 q, and 1 e. 11/68 Three letters picked without replacement from yymyyymmyyy. Give prob of picking 3 y. 56/165 Two letters picked without replacement from jjjjjjjijjdjjjjijjdd. What is prob of picking 1 i and 1 j? 3/19 What is prob of picking 4 n when four letters picked without replacement from krknnnnrnrnn? 7/99 Four letters picked without replacement from qaaqqaakqenqqaeak. Give prob of picking 2 a, 1 n, and 1 e. 3/238 Two letters picked without replacement from vmvyvyvyvvvvvmv. What is prob of picking 1 v and 1 m? 4/21 What is prob of picking 2 e when two letters picked without replacement from ennncnnceennnnn? 1/35 Two letters picked without replacement from ownw. What is prob of picking 1 o and 1 n? 1/6 Four letters picked without replacement from {p: 9}. What is prob of picking 4 p? 1 Two letters picked without replacement from {u: 2, k: 6, y: 7}. What is prob of picking 2 k? 1/7 Two letters picked without replacement from {g: 1, c: 3, k: 2, b: 1, a: 1, x: 3}. What is prob of picking 2 k? 1/55 What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 1, j: 2, d: 1, k: 1, f: 1, z: 1}? 1/21 Three letters picked without replacement from uuszkizzuzustuiuu. Give prob of picking 2 i and 1 s. 1/340 What is prob of picking 2 j when two letters picked without replacement from rrrjrjrrrrjrrjrrjr? 10/153 Two letters picked without replacement from {r: 2, q: 2, x: 1, i: 1}. What is prob of picking 1 i and 1 x? 1/15 Two letters picked without replacement from gpg. Give prob of picking 2 g. 1/3 What is prob of picking 1 o, 1 k, and 1 j when three letters picked without replacement from {j: 1, o: 4, n: 3, k: 1, c: 4, r: 1}? 1/91 Two letters picked without replacement from mmvjmcmvvmcccmc. Give prob of picking 2 v. 1/35 Three letters picked without replacement from aggaggg. Give prob of picking 3 g. 2/7 Two letters picked without replacement from {q: 5, z: 5}. What is prob of picking 2 z? 2/9 Three letters picked without replacement from {c: 15, w: 4}. What is prob of picking 3 w? 4/969 Two letters picked without replacement from zccktttctc. Give prob of picking 2 c. 2/15 What is prob of picking 2 q when two letters picked without replacement from {f: 1, q: 4, c: 3, w: 1, g: 6}? 2/35 Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, s: 2, d: 1, x: 1, o: 1, w: 2}. 1/28 Two letters picked without replacement from cfhlzhfz. What is prob of picking 2 h? 1/28 Calculate prob of picking 2 y when two letters picked without replacement from {k: 1, i: 7, g: 2, l: 2, e: 1, y: 2
{ "pile_set_name": "DM Mathematics" }
losest to 2? (a) 2 (b) j (c) 0.13 a Let w = -2 - -2. Let c = -2.038 + 0.038. What is the nearest to -2 in 1/3, c, w? c Let i = 6 - 6.4. Let q = 0.82 + -1. Let g = 4.18 + q. Which is the closest to 0.1? (a) i (b) -0.5 (c) g a Let y be (-160)/25 + 7 - 1. Let t = -1 - -1.1. What is the closest to y in -0.4, -5, t? -0.4 Let i = 0.4 + -0.59. Let m = 4.24 - 1.05. Let g = i + m. What is the nearest to g in 2/5, -2, 2? 2 Suppose -5*z - 5 - 10 = 0. Let u be 2 + (z - 9/(-21)). Let b = 0.09 + -0.49. What is the closest to -1 in 1, b, u? u Let n be (-192)/195 + (-4)/(-10). Let s = n - -5/13. What is the closest to -2/13 in 0.5, s, -2/3? s Let t be (86 - (2 + 3/3)) + -1. Let w = -248/3 + t. Which is the closest to 1? (a) 13 (b) -2 (c) w c Let w = -20.27 + 24.27. Which is the nearest to 0? (a) w (b) 3 (c) -2 c Let r(u) = 3*u**2 - 4*u + 7 - 4*u**2 + 4*u + 7*u. Let w be r(8). Which is the nearest to 1/3? (a) 2/5 (b) w (c) 1/10 a Let s = -220.4 - -220. Suppose -2*z = -5*z - 3. Let v be (4/(-24))/(z/4). Which is the closest to -2? (a) s (b) v (c) 4/5 a Let a = 153/2 + -77. What is the closest to 0 in a, 4, -5? a Let c = -237.3 + 237. What is the closest to 2 in -2/9, 3, c? 3 Let t = 4.7 - 5. Let o = -1.3 - t. Let m = -855/1484 - -1/212. Which is the nearest to o? (a) -4 (b) 0.3 (c) m c Let t = 34 - 26. Let n be (-1)/2*(4 - t). Let r = -0.1 - -0.2. Which is the closest to r? (a) 1/2 (b) 2/3 (c) n a Let s = 0.0777 + -0.1777. Let w(i) = -i + 3. Let q be w(4). What is the closest to -1/2 in s, 0.4, q? s Let p = -82 - -85. Let v be (p + 26/(-14))*3/12. Which is the nearest to v? (a) 2/7 (b) -3 (c) 0.4 a Let g = 53/132 - 7/12. Which is the closest to -1/6? (a) -5 (b) 3/8 (c) g (d) 1 c Let v = 0.4 - 0.3. Let y = -1222 + 1222. Let z = 45/2 + -23. Which is the nearest to v? (a) y (b) z (c) 2/15 c Let o = -0.36 + -0.04. Let p = o + 7.4. Let l = -0.755 - -0.955. What is the closest to 1 in l, 5, p? l Let n = -179/24 + 65/8. Which is the nearest to -2/105? (a) -3/5 (b) n (c) 0 c Suppose -3*c + 3 = -i + 4, -c = -4*i - 7. Let l be 3 - ((-190)/(-72) + (-3)/(-12)). What is the nearest to -2/11 in 5, l, c? l Let t = 7 - 4. Suppose 4*s - 28 = 3*i, 2*i + 4*s - 5 - 3 = 0. Let m be 2/i + (-18)/108. Which is the nearest to 1/3? (a) t (b) m (c) -0.2 c Let f = 10 - 7. Let v = -8.8 - -3.8. Which is the nearest to 1? (a) v (b) -6/5 (c) f c Let l = -1233 + 1225. Which is the nearest to 1/3? (a) l (b) 0.5 (c) -0.2 b Let j = 0.3 - 0.5. Let k = j + -0.1. Let n = 0.106 + -0.206. Which is the closest to 1? (a) n (b) k (c) 2 c Let x = 6 - 10. What is the nearest to -2 in -1, x, -6? -1 Let s = 18.9 - 18.927. Which is the closest to s? (a) 1/3 (b) 3/2 (c) -3 a Let n = 3.85 + 0.15. Let d = 1.4 - -15.6. Let v = 18 - d. What is the closest to v in 1, -5, n? 1 Let r = -7 - -6. Let b = 8 - 3. Let u = 4.9 - b. What is the closest to u in 0, 0.5, r? 0 Let n be (224/(-6))/(-7) - (17 + -11). Which is the closest to n? (a) -7 (b) -2 (c) -0.4 c Suppose -2*x - 3*x + 3*i = 22, 3*x + 18 = 3*i. Let l = -12 - -9. Let f be ((-13)/(-117))/(-4*1/(-18)). Which is the nearest to f? (a) 5 (b) l (c) x c Let b = 0 + 0.1. Let k = 0.2 + b. Suppose 7*z + 35*z = -4*z. What is the closest to z in 4/7, k, -0.2? -0.2 Let g = -314 + 314.1. Which is the nearest to g? (a) -0.3 (b) -5/4 (c) 4 a Let d = -6 + 8. Suppose 2*u + 20 = -d*u + 3*c, 25 = -5*u - 4*c. Let b = 821/2849 - 1/407. What is the nearest to 1 in b, 4, u? b Let c = 12 + -12.14. Let f = 3.7 - 2.56. Let r = f + c. What is the nearest to r in -5, 5, 0.5? 0.5 Let k be (34/(-85))/((-42)/5). Let z = -13/28 + k. Let d = z + -1/4. Which is the closest to d? (a) 0.2 (b) -2 (c) 3 a Let s be (0 + 3 + (-371)/132)*-2. Let j = -4/33 + s. Which is the nearest to j? (a) -2 (b) 0 (c) 5 b Let q = -18 - -23. What is the closest to -0.2 in 2/23, q, 1, 0.3? 2/23 Let h = -8.2 + 10. Let z = h - 15.8. Let b = z + 19. What is the nearest to -0.1 in 4/3, b, -4? 4/3 Let d be -78 + 81 + 1 + (-170)/32. What is the nearest to d in -1/3, -1, -3? -1 Let i = -8.83 + 9.63. Which is the nearest to -0.4? (a) i (b) 3/7 (c) -2/13 c Let g = 143 - 148. Let s be (-4)/(-22) - 144/66. Which is the nearest to 0.1? (a) s (b) 3/7 (c) g b Let v = 8.06 + -8. Let j = -2692 - -2693. Which is the closest to j? (a) -2/5 (b) v (c) 0.2 c Let j(l) = l**2 + 3*l - 4. Let v be j(-4). Let t = -101 - -150. Let h = t - 46. What is the closest to -2/3 in v, -0.3, h? -0.3 Let j = -0.16 + 1.26. Which is the nearest to 0.7? (a) j (b) -2/5 (c) -5 a Let t be ((-69)/18 - -3)*2/(-5). Suppose 2*o + 0 = -n - 9, -36 = 4*n + 4*o. Let p be ((-5)/(-6))/(6/n). Which is the closest to t? (a) 1/6 (b) p (c) -1 a Suppose 3*x + 8 = 4*h - x, x = 2*h - 5. Suppose 0 = h*r + r + 16. Let w = -0.9 + 1. Which is the nearest to w? (a) r (b) -2 (c) 0.3 c Suppose 200 = 18*t + 128. Which is the nearest to -1? (a) t (b) -1/3 (c) -2 (d) -0.3 b Let j = -6 - -3. Let d = -92 + 48. Let w = 44 + d. Which is the closest to w? (a) 2 (b) 1 (c) j b Suppose -34*q - 134 = -168. Let w = 0.2 + -0.3. What is the closest to q in w, 1, 2/3? 1 Let a(o) = -o + 2. Let r be a(-2). Suppose -r*j - 4*h + 2*h = 40, -2*j + 3*h - 12 = 0. What is the nearest to j in 2/7, -3, -5? -5 Let w = 0.27 - 0.57. Let m = 153 - 149. Which is the closest to -3? (a) m (b) w (c) 3 b Let n = 3.9 + -4.3. What is the nearest to 1 in 16, n, 4/3? 4/3 Let s = 197/4 - 50. Let f = -4/39 + -22/39. What is the closest to -34 in f, 4, s? s Let p = 827 - 827. Which is the nearest to 2/5? (a) -13 (b) p (c) -5 b Let u(k) = -1. Let o(j) = -2*j - 4. Let l(t) = -o(t) + 6*u(t). Let w be l(5). Let g = 9 - w. Which is the closest to -1/3? (a) 3 (b) g (c) 5 b Let o = 82.7 - 77. Let u = 5.6 - o. What is the nearest to 1/4 in -1, u, 1? u Let s = 1184/3 + -396. Which is the nearest to -27/2? (a) s (b) -0.5 (c) 0.2 a Let b = 219 + -221. Let k = -4 + -1. What is the closest to -1/2 in k, b, 0.1? 0.1 Let k(n) = -n**2 + 9*n + 27. Let l be k(12). Let x be (-6)/l*(-6)/(-10). What is the nearest to 1 in -4/5, 2/15, x? x Let q = 397/48 + -143/16. Which is the closest to 8? (a) 0.2 (b) q (c) -2 (d) -5 a Let p(m) = -m**2 + 4*m + 5. Let h be p(5). Let r = -212 + 211.6. Which is the nearest to -1? (a) 2 (b) h (c) r c Let y be (-58)/435*(-2 - 1). Which is the nearest to y? (a) -5 (b) 0.5 (c) 14 (d) 4 b Let i = -145.7 + 146. Let h = -13 + 9. Let y = 2 + h. What is the nearest to 1 in 2, i, y? i Let z be 32/30 + (-6)/9. Suppose 30 = 4*r + 3*v + 7, 4*v + 12 = 0. Let p(a) = -a**2 + 8*a - 2. Let f be p(r). What is the nearest to z in -0.2, 0.3, f? 0.3 Let l = -5.39 + 7.39. Which is the nearest to -16? (a) l (b) -2/3 (c) 0 (d) -5 d Let y = -94.98 + 95. Let l = -120/17 + 2623/374. Let r = 47/66 + l. What is the closest to r in 4/5, -2, y? 4/5 Let o = -2/61 - -67/183. Let k = -5546 + 5541. What is the nearest to o in -2, k, -3/8? -3/8 Let i = 0 + -3. Let t be 10/36*1 + (-16)/32. Which is the closest to t? (a) -1/2 (b) -3/2 (c) i a Let i = 795/4 + -199. What is the closest to 1/2 in -2/9, i, 13, -5? -2/9 Let x = 6.3 - 1.3. Let k = 0.01102 + 0.18898. Which is the closest to -3? (a) x (b) 0.3 (c) k c Let h = 6 - 1. Let p = 2034 + -6179/3. Let q = p + 26. Which is the closest to 1? (a) q (b) 1 (c) h b Let d = 14 + -30. Let v = -14 - d. Which is the closest to 1? (a) -0.1 (b) v (c) 8 b Let s be (3/(-4))/((-243)/72). Let a = -3 + 3.1. Suppose -5*b = 3*d + 23, -4*d - b = b + 12. What is the closest to d in s, a, -0.4? -0.4 Let n = -199 + 198. What is the nearest to 0.7 in 0.5, n, -2/15? 0.5 Let o = -200 - -203. Which is the closest to -2/19? (a) o (b) -3/8 (c) 0.2 b Let p = -0.111 + -36.389. Let l = p + 37. Which is the closest to 0.1? (a) -3 (b) 0 (c) l b Let y be (-92)/22 - (-18)/99. Let f be y/26 + 27005/1716. Let r = -46/3 + f. Which is the closest to -0.1? (a) 3 (b) -3 (c) r c Suppose 4*c - 8*c = 15560. Let j be 4/26 + c/(-65). Let n = 182/3 - j. What is the nearest to 1 in -0.2, 3/7, n? n Let b = 0.0368 + -3.0368. What is the nearest to 1/3 in 3, b, -1? -1 Let f be -15 - (-484)/33 - (-10)/18. Let r = -1 + 2. Which is the nearest to 1/3? (a) f (b) r (c) 2/5 c Let q = 9.493 + -6.493. Let c be (2/10)/(
{ "pile_set_name": "DM Mathematics" }
2*n. What is a*y(i) + 5*q(i)? 10*i Let l(u) = 6*u + u**2 + 6 + 9*u - 17*u. Let c(y) = 6*y - 17*y - 11 - 2*y**2 + 7*y + 7*y. What is -4*c(k) - 7*l(k)? k**2 + 2*k + 2 Let y(j) = -215*j**3 + 4*j**2 + 4*j - 3. Let o(m) = 217*m**3 - 3*m**2 - 3*m + 2. Give -4*o(w) - 3*y(w). -223*w**3 + 1 Let l(i) = 27*i**3 - 3*i**2 - 20*i + 7. Let o(k) = -k**3 + 4*k - 2. Let u(w) = l(w) + 5*o(w). Let p(y) = -66*y**3 + 8*y**2 + 8. Calculate 3*p(v) + 8*u(v). -22*v**3 Let t(j) = 44 - 2*j**3 + j - 44. Let s(q) = 4*q**3 - q. Let u be (2 + -9 - 0)*(-64)/224. What is u*s(w) + 5*t(w)? -2*w**3 + 3*w Let i(d) = -602*d - 8. Let y(m) = 3010*m + 37. What is -29*i(l) - 6*y(l)? -602*l + 10 Let g(x) = 2. Let v be 1 - -3 - (-3 + (-3 - -4)). Let c = -5 + v. Let w(n) = -c + 7 + n**2 - 3. Determine 5*g(f) - 3*w(f). -3*f**2 + 1 Let o(w) = -904*w - 2. Let l(h) = -493*h - 1. Let g(u) = -11*l(u) + 6*o(u). Let a(p) = 10*p + 26. Calculate -2*a(z) - 18*g(z). -2*z - 34 Let j(n) = -30*n - 128*n + 157*n - 2 + 3. Let g = 12 - 5. Let d(u) = -g*u + 0*u + 4 + 1 + 2*u. What is d(x) - 4*j(x)? -x + 1 Let k = -43 - -42. Suppose 41 = -11*p + 107. Let j(y) = -6*y**2 - 6*y + 6. Let o(u) = -u + 1. Give k*j(m) + p*o(m). 6*m**2 Let o(f) = f**2 + f + 1. Let p(y) = -y**3 - 5*y**2 - 5*y + 2. Let n = -217 - -232. Suppose 4*j = 6*j + 3*k - 17, -5*j - n = -4*k. Calculate j*p(l) + 5*o(l). -l**3 + 7 Let z = 328 + -308. Let u(h) = 9 - 13 + 16*h**3 - h**2 - z*h**3 - 5*h. Let f(j) = 2*j**3 + 2*j + 2. Calculate -5*f(y) - 2*u(y). -2*y**3 + 2*y**2 - 2 Let m(t) = 0*t**3 + 10*t - 9*t - t**3 - 1. Let d be 1*(50/5 + -9)*3. Let h(p) = -4*p**3 + p**2 + 3*p + 1. Determine d*m(l) - h(l). l**3 - l**2 - 4 Let o(u) = 8*u**3 - 77*u**2 + 15*u. Let m(h) = -h**3 + 14*h**2 - h. Calculate 4*m(n) + o(n). 4*n**3 - 21*n**2 + 11*n Let i(p) = -p**3 + p**2 + 1. Let w(v) = -5 + 8 - 11172*v + 11173*v - 14*v**3 + 3*v**2. Give 3*i(g) - w(g). 11*g**3 - g Let p(w) = -51*w**3 - w - 5. Let m(o) = -26*o**3 - o - 3. Suppose 116*s - 103 + 265 = -186. Give s*p(v) + 5*m(v). 23*v**3 - 2*v Let v(p) be the third derivative of p**4/12 + 2*p**3/3 - p**2 + 2651*p. Let x(k) = -k - 3. Determine 4*v(r) + 5*x(r). 3*r + 1 Let c(v) = -27*v + 5. Let i(q) = -248*q + 64 - 116*q + 12*q. Calculate -64*c(w) + 5*i(w). -32*w Let f be -4 - 4*3/(-6). Let z(o) = -o**2 + 13*o - 9. Let b(a) be the first derivative of 3*a**2/2 - 2*a - 313. Let u be 7/21*27/1. Determine f*z(k) + u*b(k). 2*k**2 + k Let u(f) = f + 14. Let q(v) = -5*v - 48. What is 4*q(n) + 11*u(n)? -9*n - 38 Let w(b) = 25447*b**2 + 24*b. Let f(p) = 15641424*p**2 + 14751*p. Give -8*f(r) + 4917*w(r). -8493*r**2 Let y(t) = -6*t - 36. Let z(l) = l + 5. Suppose p + 7*w - 4 = -12, -w + 1 = 0. What is p*z(s) - 2*y(s)? -3*s - 3 Let z(x) = -11*x + 10. Let q(c) = -5*c + 5. Let o be 14/(448/144)*8/(-6). Calculate o*z(l) + 13*q(l). l + 5 Let o be (-126)/588*(-196)/42. Let t(z) = 4. Let u(c) be the second derivative of c**3/6 - c**2/2 - 2*c. Calculate o*t(p) + 2*u(p). 2*p + 2 Suppose -2*j - 11 = 5. Let g(k) = -k**2 - k + 1. Let o(u) = 10*u**2 + 8*u - 6. Suppose -16 = -28*f + 32*f + 3*m, -m - 4 = 0. Give f*o(h) + j*g(h). -2*h**2 - 2 Let u(j) = -7*j**3 + 41*j**2 + 12*j - 5. Let b(k) = -6*k**3 + 33*k**2 + 12*k - 3. Determine 5*b(v) - 4*u(v). -2*v**3 + v**2 + 12*v + 5 Let w(t) = -27*t**3 + 5*t**2 + 5*t - 5. Let z(l) be the first derivative of 27*l**4/4 - 2*l**3 - 3*l**2 + 6*l - 4381. What is -6*w(a) - 5*z(a)? 27*a**3 Let r(a) = 55*a**3 + 10*a**2 + 79*a - 7. Let g(d) = -28*d**3 - 6*d**2 - 39*d + 4. Give 7*g(b) + 4*r(b). 24*b**3 - 2*b**2 + 43*b Let r = 4591 + -4588. Let h(l) = -23*l**3 + 2*l**2 + 2. Let p(v) = -23*v**3 + 3*v**2 + 3. What is r*h(n) - 2*p(n)? -23*n**3 Let t(b) = -12*b**3 - 3*b**2 - 3. Let i(k) = -84*k**3 - 20*k**2 - 20. Suppose -6*a - 233 - 7 = 0. Calculate a*t(m) + 6*i(m). -24*m**3 Let c(a) = 67*a - 29. Let y(f) = 31*f - 13. Let z(m) = 6*c(m) - 13*y(m). Let n(w) = 2*w + 5. Give -4*n(b) - 3*z(b). -5*b - 5 Let y(n) = 19*n**3 - 8*n**2 - 8*n - 1. Let o(j) = -j**2 - 24*j + 648. Let s be o(16). Let q(m) = -13*m**3 + 5*m**2 + 5*m + 1. Determine s*q(a) + 5*y(a). -9*a**3 + 3 Suppose 3*f - 36 + 6 = 3*x, 18 = -3*x - f. Let c(n) = 4*n**3 + 7. Let h(a) = -2 + 2*a**3 - 195838*a**2 + 6 + 195838*a**2. What is x*h(k) + 4*c(k)? 2*k**3 Let s(d) = d**2 - 25. Let l(c) = 8*c**2 + 3*c - 58. What is l(b) - 2*s(b)? 6*b**2 + 3*b - 8 Let d(g) = -7*g**3 + 11*g. Let p = -686 - -692. Let s(u) = -4*u**3 + 6*u. Determine p*d(a) - 11*s(a). 2*a**3 Let r(y) = 19*y + 14. Let l(t) = 8*t - 3 + 7*t - 22*t + 3*t. Calculate 11*l(w) + 2*r(w). -6*w - 5 Suppose 0 = -4*z + 13 + 79. Suppose -z*x + 30 = -8*x. Let h(a) = a**3 - a**2 + 2*a. Let t(j) = j**3 + j**2 - j. Calculate x*t(y) + h(y). 3*y**3 + y**2 Let q(v) = 8*v**2 - 13*v + 2. Let z(p) = p**2 - 3*p + 4. Determine -q(f) + 5*z(f). -3*f**2 - 2*f + 18 Let k(p) = p**3 + p**2 - p. Let c(q) = q**3 - 4*q**2 - 24*q + 95. Let w be c(4). Let b(z) = 6*z**3 - 2*z**2 + 2*z - 3. Determine w*b(u) - 2*k(u). -8*u**3 + 3 Let x(d) be the third derivative of d**4/12 - d**3/6 + 12261*d**2. Let u(r) = -4*r + 2. Suppose -3*i = -3*l - 6, l - i + 2*i = -4. What is l*u(b) - 7*x(b)? -2*b + 1 Let p(z) = 3*z - 20. Let l be p(5). Let o(k) = 7*k**2. Let a(x) = 4*x**2 - 25. Let m(f) = -f**2 + 5. Let y(h) = a(h) + 5*m(h). Calculate l*o(t) - 40*y(t). 5*t**2 Let b(x) = -9*x**3 - 2*x**2 + 2*x - 1. Let j(z) = 43*z**3 + 10*z**2 - 9*z + 4. Calculate 11*b(y) + 2*j(y). -13*y**3 - 2*y**2 + 4*y - 3 Let t(s) = -6*s**2 - 15*s - 2. Let d(y) = 37*y**2 - 71*y + 4. Let x(p) = 17*p**2 - 30*p + 2. Let m(a) = 4*d(a) - 9*x(a). What is 5*m(n) - 4*t(n)? -n**2 - 10*n - 2 Let x(r) = 7*r - 19. Let u = 116 - 77. Let t(h) = h - 3. Suppose -5*a - 8*b + 9*b = 26, -2*a = -4*b - 4. Calculate a*x(s) + u*t(s). -3*s - 3 Let a be (-720)/(-688) - (164/(-172) - -1). Let x(r) = -r + 1. Let k(y) = 3*y - 6. Let h(m) = -3*m + 7. Let f(b) = -4*h(b) - 5*k(b). Give a*f(j) - 4*x(j). j - 2 Let u be 1*14/21*(-6)/(-4). Let k(i) = i + 1. Let h(m) be the first derivative of -5*m**2/2 - 4*m - 79. Give u*h(r) + 2*k(r). -3*r - 2 Let b(n) = -119 + 59*n - 278 + 394. Let j(t) = -176*t + 8. Determine 8*b(r) + 3*j(r). -56*r Let a(k) = -2*k**3 + 4*k**2 - 8. Let y(l) be the second derivative of -l**5/20 + l**4/6 - 2*l**2 - l. Let v = -211932 - -211938. What is v*a(s) - 13*y(s)? s**3 - 2*s**2 + 4 Let v(s) = 2*s**3 + s. Let o(p) = p**3 - p. Let i = 72246 - 72247. Let d(n) = -n + 2 + 0*n + 2*n. Let j be d(-3). What is i*v(m) + j*o(m)? -3*m**3 Let t(v) = 3*v + 250. Let d(j) = 3*j + 253. Calculate -5*d(s) + 6*t(s). 3*s + 235 Let x(i) = -1000*i**2 + 10*i - 50. Let d(m) = 500*m**2 - 4*m + 20. Determine 5*d(w) + 2*x(w). 500*w**2 Let z(j) be the first derivative of -j**2 + 10*j + 231. Let k(r) = -2*r + 11. What is 4*k(l) - 5*z(l)? 2*l - 6 Let f(w) = -2*w + 2*w**3 + 3*w**2 - 116 + 152 - 118 + 80. Let b(g) = -6*g**3 - 9*g**2 + 6*g + 6. What is -3*b(t) - 8*f(t)? 2*t**3 + 3*t**2 - 2*t - 2 Let v(g) be the third derivative of g**6/120 + g**5/15 - 7*g**3/6 - 164*g**2 - 5. Let d(l) = 2*l**2 - 3. Calculate -9*d(a) + 4*v(a). 4*a**3 - 2*a**2 - 1 Let s(x) = 16*x. Let d(q) be the third derivative of q**5/15 + 6*q**3 + 4*q**2. Let w(v) be the first derivative of d(v). Give -6*s(n) + 13*w(n). 8*n Let r(g) = -5*g**2 - g + 3. Let w(c) = -54*c**2 - 18*c - 330. Determine 11*r(v) - w(v). -v**2 + 7*v + 363 Let v(a) be the first derivative of -181 - 2*a + 306 + a - 199. Let d(l) = -3*l**3 - 3. What is d(w) - 3*v(w)? -3*w**3 Let m(o) = o**2 + o + 24. Let y(z) = 7*z**2 + 5*z + 98. Let h(f) = 4*m(f) - y(f). Let j(q) = -4*q**2 - 2*q - 3. What is -3*h(v) + 2*j(v)? v**2 - v Let w(x) = 3*x**2 - 4. Suppose 2*d - 10 = -2. Let y(r) = r - 7*r**2 + d + 9 - 4. Calculate -5*w(t) - 2*y(t). -t**2 - 2*t + 2 Let l(x) = -4*x**3 - x**2 - 2*x. Let q(u) = u**3 + 2*u**2 + u. Let t be q(-2). Let g = -39626 + 39623. Let d(b) = 5*b**3 + 3*b. Give g*l(p) + t*d(p). 2*p**3 + 3*p**2 Let s(h) be the first derivative of -h**3 - 10*h**2 + h - 642. Let v(l) = -l**2 - l + 1. Determine -s(t) + v(t). 2*t**2 + 19*t Let w(l) = 4*l**3 - 104*l**2 - 4*l - 1. Let b(n) = 3*n**3 + n**2 - n. What is -3*b(g) + w(g)? -5*g**3 - 107*g**2 - g - 1 Suppose 0 = 4*b + 5*s + 16, 4*s - 1 = 4*b + 15. Let h(c) = -c - 1. Let w(z) = 25*z - 11*z - 7*z + 2 - 5*z. What is b*w(p) - 7*h(p)? -p
{ "pile_set_name": "DM Mathematics" }
670 How many minutes are there between 12:28 PM and 5:02 PM? 274 What is 445 minutes before 8:45 AM? 1:20 AM How many minutes are there between 9:59 AM and 9:17 PM? 678 What is 467 minutes before 11:05 PM? 3:18 PM What is 678 minutes after 1:42 PM? 1:00 AM What is 149 minutes after 6:33 AM? 9:02 AM How many minutes are there between 5:28 AM and 9:58 AM? 270 How many minutes are there between 4:56 PM and 2:16 AM? 560 What is 237 minutes after 7:39 PM? 11:36 PM How many minutes are there between 12:47 AM and 10:36 AM? 589 What is 468 minutes after 9:40 PM? 5:28 AM What is 39 minutes after 8:24 PM? 9:03 PM What is 167 minutes before 11:02 PM? 8:15 PM What is 123 minutes before 3:11 AM? 1:08 AM How many minutes are there between 3:02 AM and 4:39 AM? 97 What is 514 minutes before 2:11 AM? 5:37 PM What is 480 minutes after 10:54 PM? 6:54 AM How many minutes are there between 11:22 PM and 9:19 AM? 597 How many minutes are there between 12:31 AM and 12:35 AM? 4 What is 41 minutes after 5:26 PM? 6:07 PM How many minutes are there between 2:54 PM and 11:06 PM? 492 How many minutes are there between 2:18 AM and 7:31 AM? 313 What is 703 minutes after 12:55 AM? 12:38 PM How many minutes are there between 9:30 PM and 10:08 PM? 38 What is 274 minutes after 5:18 AM? 9:52 AM What is 448 minutes before 10:47 AM? 3:19 AM How many minutes are there between 5:42 PM and 6:44 PM? 62 What is 341 minutes before 11:51 AM? 6:10 AM What is 341 minutes after 4:02 PM? 9:43 PM What is 9 minutes before 7:14 PM? 7:05 PM What is 669 minutes before 7:09 AM? 8:00 PM How many minutes are there between 3:39 PM and 12:38 AM? 539 How many minutes are there between 7:52 PM and 8:32 PM? 40 What is 410 minutes after 11:37 AM? 6:27 PM How many minutes are there between 12:51 PM and 12:28 AM? 697 How many minutes are there between 11:11 AM and 5:51 PM? 400 How many minutes are there between 7:33 PM and 5:28 AM? 595 What is 231 minutes after 8:40 PM? 12:31 AM What is 628 minutes after 2:56 PM? 1:24 AM What is 583 minutes before 10:48 AM? 1:05 AM How many minutes are there between 9:48 PM and 8:18 AM? 630 What is 457 minutes before 8:04 PM? 12:27 PM How many minutes are there between 7:20 AM and 3:10 PM? 470 How many minutes are there between 2:58 PM and 4:09 PM? 71 What is 470 minutes before 7:02 PM? 11:12 AM What is 6 minutes before 2:31 AM? 2:25 AM What is 89 minutes after 10:04 PM? 11:33 PM How many minutes are there between 8:15 AM and 12:27 PM? 252 What is 9 minutes before 11:52 AM? 11:43 AM What is 508 minutes after 3:43 PM? 12:11 AM What is 490 minutes after 4:41 AM? 12:51 PM How many minutes are there between 1:50 PM and 1:34 AM? 704 How many minutes are there between 1:43 AM and 3:58 AM? 135 How many minutes are there between 10:46 PM and 6:48 AM? 482 How many minutes are there between 10:48 PM and 6:42 AM? 474 How many minutes are there between 11:06 PM and 5:33 AM? 387 What is 704 minutes before 11:54 PM? 12:10 PM What is 491 minutes after 9:15 PM? 5:26 AM What is 293 minutes before 7:56 PM? 3:03 PM How many minutes are there between 8:03 PM and 11:26 PM? 203 What is 446 minutes before 2:43 AM? 7:17 PM What is 408 minutes before 5:59 PM? 11:11 AM How many minutes are there between 1:22 PM and 11:17 PM? 595 How many minutes are there between 6:57 AM and 11:40 AM? 283 How many minutes are there between 2:48 PM and 6:52 PM? 244 How many minutes are there between 7:22 PM and 8:02 PM? 40 How many minutes are there between 3:15 PM and 7:28 PM? 253 What is 631 minutes before 6:24 AM? 7:53 PM What is 127 minutes after 12:20 PM? 2:27 PM What is 481 minutes after 10:38 AM? 6:39 PM How many minutes are there between 2:03 PM and 4:00 PM? 117 What is 342 minutes after 2:46 AM? 8:28 AM What is 399 minutes before 12:45 PM? 6:06 AM How many minutes are there between 3:16 PM and 10:54 PM? 458 What is 558 minutes before 6:27 PM? 9:09 AM What is 524 minutes after 5:21 PM? 2:05 AM How many minutes are there between 5:13 PM and 1:21 AM? 488 How many minutes are there between 10:21 PM and 5:15 AM? 414 How many minutes are there between 8:40 AM and 10:30 AM? 110 What is 628 minutes after 6:40 AM? 5:08 PM What is 35 minutes after 9:25 AM? 10:00 AM How many minutes are there between 12:30 AM and 3:36 AM? 186 How many minutes are there between 12:21 PM and 9:54 PM? 573 What is 172 minutes after 1:22 AM? 4:14 AM What is 305 minutes before 8:54 AM? 3:49 AM How many minutes are there between 9:48 AM and 6:04 PM? 496 What is 260 minutes before 10:43 AM? 6:23 AM What is 292 minutes before 4:38 AM? 11:46 PM What is 152 minutes after 12:07 AM? 2:39 AM What is 418 minutes before 2:09 AM? 7:11 PM What is 130 minutes before 11:40 AM? 9:30 AM What is 250 minutes before 1:47 PM? 9:37 AM What is 88 minutes before 4:30 PM? 3:02 PM What is 137 minutes before 5:41 PM? 3:24 PM How many minutes are there between 2:58 PM and 8:29 PM? 331 How many minutes are there between 5:56 PM and 10:21 PM? 265 How many minutes are there between 8:33 AM and 4:10 PM? 457 How many minutes are there between 6:07 AM and 1:15 PM? 428 How many minutes are there between 1:53 PM and 4:40 PM? 167 How many minutes are there between 12:20 AM and 8:54 AM? 514 What is 714 minutes after 2:18 AM? 2:12 PM How many minutes are there between 7:52 PM and 5:10 AM? 558 What is 568 minutes before 8:41 AM? 11:13 PM How many minutes are there between 1:30 PM and 4:08 PM? 158 What is 420 minutes before 6:20 AM? 11:20 PM What is 141 minutes after 7:40 PM? 10:01 PM How many minutes are there between 7:11 AM and 7:52 AM? 41 How many minutes are there between 11:50 AM and 11:11 PM? 681 How many minutes are there between 6:37 PM and 9:16 PM? 159 What is 406 minutes before 7:12 AM? 12:26 AM How many minutes are there between 2:50 PM and 8:34 PM? 344 What is 132 minutes after 4:43 PM? 6:55 PM How many minutes are there between 1:34 PM and 11:12 PM? 578 How many minutes are there between 3:02 AM and 6:17 AM? 195 How many minutes are there between 9:50 PM and 12:24 AM? 154 How many minutes are there between 7:17 AM and 3:18 PM? 481 How many minutes are there between 10:02 AM and 12:19 PM? 137 How many minutes are there between 4:12 PM and 12:35 AM? 503 How many minutes are there between 11:17 PM and 4:10 AM? 293 What is 372 minutes before 11:01 AM? 4:49 AM What is 166 minutes after 12:37 AM? 3:23 AM What is 391 minutes before 11:06 PM? 4:35 PM How many minutes are there between 4:29 PM and 9:33 PM? 304 How many minutes are there between 8:10 AM and 5:29 PM? 559 What is 474 minutes before 10:40 PM? 2:46 PM What is 283 minutes before 11:45 PM? 7:02 PM What is 576 minutes before 3:20 PM? 5:44 AM What is 77 minutes after 1:00 AM? 2:17 AM How many minutes are there between 3:48 AM and 1:40 PM? 592 How many minutes are there between 11:11 PM and 4:33 AM? 322 How many minutes are there between 4:16 AM and 10:55 AM? 399 How many minutes are there between 7:17 PM and 6:39 AM? 682 What is 97 minutes after 1:49 AM? 3:26 AM What is 492 minutes before 4:17 PM? 8:05 AM How many minutes are there between 9:56 AM and 10:10 AM? 14 What is 127 minutes after 9:14 PM? 11:21 PM What is 491 minutes after 6:46 PM? 2:57 AM What is 445 minutes before 4:02 AM? 8:37 PM What is 662 minutes after 8:21 AM? 7:23 PM How many minutes are there between 1:40 PM and 4:20 PM? 160 How many minutes are there between 8:42 AM and 3:41 PM? 419 How many minutes are there between 9:26 AM and 2:31 PM? 305 How many minutes are there between 2:23 AM and 6:27 AM? 244 What is 573 minutes before 5:04 PM? 7:31 AM What is 171 minutes before 12:28 PM? 9:37 AM How many minutes are there between 9:28 PM and 10:17 PM? 49 How many minutes are there between 2:59 PM and 2:43 AM? 704 What is 655 minutes before 8:26 PM? 9:31 AM What is 655 minutes before 2:05 PM? 3:10 AM How many minutes are there between 11:14 PM and 11:04 AM? 710 How many minutes are there between 3:50 AM and 12:06 PM? 496 What is 691 minutes before 11:18 PM? 11:47 AM What is 507 minutes before 9:21 PM? 12:54 PM What is 243 minutes before 3:00 AM? 10:57 PM How many minutes are there between 8:33 AM and 4:09 PM? 456 How many minutes are there between 10:00 PM and 9:00 AM? 660 What is 50 minutes after 10:41 PM? 11:31 PM How many minutes are there between 4:
{ "pile_set_name": "DM Mathematics" }
a(h) = -h**3 + 15*h**2 - 12*h - 30. Give a(14). -2 Let t(z) = z**2 + 7*z - 268. Calculate t(-20). -8 Let y(q) = -q + 2. Calculate y(5). -3 Let z(f) = f**2 + 13*f - 6. What is z(0)? -6 Let u(c) = c**3 + 2*c**2 + 4*c + 5. Calculate u(-2). -3 Let f(l) = l + 2. What is f(-15)? -13 Let t(k) = 11*k - 7. Give t(7). 70 Let c(g) = 3*g**2 - 2*g - 4. What is c(-2)? 12 Let s(v) = -v**3 + 14*v**2 - 14*v + 34. Determine s(13). 21 Let y(d) = d - 3. Calculate y(-7). -10 Let f(t) = -t**3 - 4*t**2 + 25*t + 7. What is f(-7)? -21 Let y(c) = 5*c**2 - 97*c + 39. Give y(19). 1 Let j(b) = -55*b**2 + 2. Calculate j(-1). -53 Let v(m) = m**2 - 23*m - 53. Calculate v(25). -3 Let p(t) = t**3 - 12*t**2 - 12*t - 10. Determine p(13). 3 Let q(v) = -5*v**2 - 16*v + 5. Calculate q(-4). -11 Let q(c) = 2*c - 9. Determine q(6). 3 Let u(n) = 3*n - 9. Determine u(4). 3 Let h(p) = -p**2 - 3*p + 11. Calculate h(-11). -77 Let w(m) = -m + 5. Determine w(6). -1 Let x(i) = 2*i - 14. Give x(7). 0 Let n(c) = -3*c - 16. Calculate n(-2). -10 Let n(o) = o**3 + 5*o**2 - 3*o + 12. What is n(-6)? -6 Let b(m) = -m**2 + 18*m - 24. What is b(14)? 32 Let b(v) = -20*v - 144. Calculate b(-8). 16 Let b(x) = x**2 + 2*x - 8. Determine b(-6). 16 Let f(s) = -s**3 - 51*s**2 - 50*s - 9. Determine f(-50). -9 Let a(b) = b**2 + b - 1. What is a(2)? 5 Let h(d) = -d**2 - 2*d + 3. What is h(-3)? 0 Let y(n) = -n**3 - 4*n**2 + 2*n - 8. Determine y(-5). 7 Let m(z) = -8*z**3 - 2*z**2 - z. What is m(-1)? 7 Let q(t) = 23*t + 13. What is q(-1)? -10 Let i(d) = -d**3 + 5*d**2 - 2*d - 23. What is i(7)? -135 Let p(o) = o**2 - 3*o + 5. Give p(6). 23 Let q(k) = 3*k**2 + 16*k + 1. Calculate q(-5). -4 Let j(h) = -h**3 - 6*h**2 - h + 7. Calculate j(-6). 13 Let f(m) = m**2 - 20*m + 3. What is f(19)? -16 Let r(p) = -p**3 + 30*p**2 - 26*p - 81. Give r(29). 6 Let d(r) = 4*r**3 - 2*r + 1. Calculate d(1). 3 Let t(k) = 4*k + 205. Calculate t(-51). 1 Let a(x) = -x - 15. Calculate a(-7). -8 Let b(d) = d**2 + 20*d + 52. Calculate b(-17). 1 Let o(m) = -m**3 + 7*m**2 - 3*m + 11. Give o(7). -10 Let q(m) = m**3 + 10*m**2 + 4*m - 10. Determine q(-9). 35 Let t(o) = 12*o - 3. Give t(2). 21 Let k(t) = -t**2 + 3*t + 7. Determine k(-4). -21 Let i(a) = -a - 7. Determine i(3). -10 Let v(g) = -2*g**3 - 19*g**2 - 9*g - 7. Determine v(-9). -7 Let m(b) = b**2 + 17*b + 51. What is m(-13)? -1 Let l(w) = w**3 - 6*w**2 - 3*w + 7. What is l(6)? -11 Let h(j) = -j**2 - 28*j - 79. What is h(-25)? -4 Let w(x) = -x**3 - 4*x**2 + 6*x + 2. What is w(-4)? -22 Let m(z) = -46*z + 751. Determine m(16). 15 Let m(y) = y**3 - 13*y**2 - 2*y + 22. Determine m(13). -4 Let k(o) = o**3 + 7*o**2 + 15*o + 46. Give k(-6). -8 Let s(t) = -9*t + 30. What is s(6)? -24 Let o(w) = 2*w + 13. Give o(-13). -13 Let z(b) = 10*b**3 + 2*b**2 - 4*b + 3. What is z(1)? 11 Let f(g) = g**2 - 2*g - 22. Determine f(5). -7 Let s(z) = z**3 + 9*z**2 + 5*z - 7. Determine s(-8). 17 Let k(u) = 3*u**2 - 44*u + 20. Calculate k(14). -8 Let r(v) = 12*v - 2. Determine r(3). 34 Let a(x) = x**2 + 23*x + 62. What is a(-20)? 2 Let n(d) = 6*d**2 + 2*d - 7. Calculate n(-3). 41 Let p(x) = -6*x + 7. Give p(-8). 55 Let q(z) = z**2 + 10*z - 5. Determine q(-10). -5 Let x(r) = -7*r + 62. Determine x(9). -1 Let n(s) = -5*s**2 + s - 2. Determine n(2). -20 Let l(f) = 3*f**2 - 40*f + 12. Calculate l(12). -36 Let f(z) = z**2 + 4*z - 9. Give f(-5). -4 Let m(o) = -o**3 + 21*o**2 - 88*o - 36. Give m(15). -6 Let d(i) = -i**2 - 21. Give d(-4). -37 Let d(m) = m - 11. What is d(11)? 0 Let g(a) = a**2 + 11*a + 20. Calculate g(-7). -8 Let s(r) = r**2 - 125*r - 786. Calculate s(-6). 0 Let x(c) = -3*c + 10. Determine x(10). -20 Let o(j) = -j**2 + 19*j - 27. Give o(8). 61 Let r(m) = -2*m**2 - 11*m - 19. Calculate r(-10). -109 Let i(n) = n**3 - 18*n**2 - 22*n + 52. Determine i(19). -5 Let t(b) = -b**3 - 2*b**2 + 7*b - 5. What is t(-4)? -1 Let o(h) = h**2 - 18*h - 35. What is o(20)? 5 Let p(s) = -s - 7. Calculate p(-6). -1 Let x(j) = 88*j - 10. Determine x(1). 78 Let b(g) = g**2 - 6*g + 21. Give b(4). 13 Let p(u) = 3*u + 12. Determine p(-5). -3 Let s(t) = 4*t**2 - 97*t + 28. What is s(24)? 4 Let j(b) = 2*b**2 + 9*b - 6. What is j(-5)? -1 Let q(a) = -9*a + 18. What is q(3)? -9 Let c(i) = i**3 - 5*i**2 - 3*i + 7. Determine c(5). -8 Let q(p) = -p**2 - 2*p + 12. What is q(3)? -3 Let a(m) = m**3 + 12*m**2 - 14*m - 12. Determine a(-13). 1 Let q(s) = 7*s**2 - 5*s - 7. Give q(-1). 5 Let z(h) = -40*h + 72. What is z(2)? -8 Let n(j) = j**2 - 6*j - 12. Determine n(6). -12 Let g(i) = -i**3 - 3*i**2 - 20*i - 62. What is g(-3)? -2 Let v(x) = x**2 - 24*x - 76. Give v(26). -24 Let a(m) = m - 9. What is a(18)? 9 Let h(m) = 11*m + 175. Give h(-15). 10 Let h(o) = -8*o - 4. Give h(-3). 20 Let o(s) = -19*s - 19. Give o(-5). 76 Let k(n) = 8*n. Calculate k(-5). -40 Let p(r) = -2*r**3 - 3*r**2 - 6*r - 13. Give p(-4). 91 Let y(a) = -22*a**3 - 2*a**2 - a. Give y(-1). 21 Let b(h) = h**3 + 11*h**2 + 14*h - 34. What is b(-9)? 2 Let z(p) = -p**3 + 4*p**2 + 13*p - 45. Give z(5). -5 Let x(q) = -84*q + 515. Calculate x(6). 11 Let f(t) = -t**2 - 3*t + 14. Calculate f(-6). -4 Let w(y) = 3*y**3 + 2*y + 1. Calculate w(-1). -4 Let i(x) = 18*x**3 - x**2. Calculate i(-1). -19 Let f(w) = -25*w + 301. Determine f(12). 1 Let t(v) = -v**3 + 6*v**2 - 3*v + 11. What is t(6)? -7 Let a(s) = -s**3 - 2*s**2 + 5*s + 4. What is a(-4)? 16 Let h(o) = o**2. What is h(0)? 0 Let d(h) = h**2 + 3*h + 3. Give d(-4). 7 Let p(y) = -y**3 + 23*y**2 - 24*y + 42. Determine p(22). -2 Let d(f) = -f**2 - 17*f - 21. What is d(-14)? 21 Let a(s) = -s**3 - 13*s**2 + 31*s + 21. Give a(-15). 6 Let o(y) = 21*y - 5. Determine o(10). 205 Let q(d) = -d**3 + 19*d**2 + d - 29. Determine q(19). -10 Let a(y) = y**3 + 10*y**2 - 10*y - 1. Give a(-12). -169 Let o(v) = v**3 - 25*v**2 - 2*v + 29. Calculate o(25). -21 Let t(o) = -2*o**3 + 26*o**2 - o + 18. Calculate t(13). 5 Let o(r) = 17*r - 300. Determine o(18). 6 Let f(b) = b - 18. Calculate f(13). -5 Let g(u) = -u**3 + u + 63. Give g(0). 63 Let z(g) = -2*g**2 - 40*g - 180. What is z(-13)? 2 Let r(j) = j**3 - 11*j**2 - 9*j + 95. Determine r(11). -4 Let d(h) = -h**2 + 32*h - 97. Determine d(30). -37 Let x(i) = i - 3. What is x(-1)? -4 Let o(l) = l**3 + 4*l**2 - 5*l + 2. What is o(-5)? 2 Let l(o) = -o**3 + o**2 - 62. Give l(0). -62 Let m(w) = -2*w**3 - 96*w**2 + 98*w - 8. Calculate m(-49). -8 Let v(b) = 12*b**2 - 203*b - 19. Give v(17). -2 Let p(h) = h**3 - h**2 + 5*h + 2. Give p(-3). -49 Let n(b) = -b - 12. Calculate n(-6). -6 Let b(k) = 2*k**2 - 6*k + 20. Determine b(7). 76 Let o(d) = 2*d - 3. What is o(8)? 13 Let m(o) = -7*o - 38. Calculate m(-8). 18 Let k(n) = -n**2 - 9*n - 1. Determine k(-9). -1 Let o(i) = -i**3 - 5*i**2 + i + 8. What is o(-4)? -12 Let i(p) = p**3 + 25*p**2 - 2*p - 55. Give i(-25). -5 Let p(s) = -s**3 - 8*s**2 + 2. Give p(-7). -47 Let x(v) = 2*v + 3. Give x(6). 15 Let x(h) = -3*h - 12. Calculate x(13). -51 Let x(c) = -c**2 - 22*c + 20. What is x(-20)? 60 Let p(v) = v**3 - v**2 + 7*v + 8. Give p(-3). -49 Let c(a) = -7*a**2 + 2*a + 2. What is c(-1)? -7 Let a(n) = -n - 17. Calculate a(4). -21 Let u(f) = -10*f**2 + 6*f + 7. Give u(-1). -9 Let h(x) = -3*x**3 + 2*x**2 + 3*x - 3. What is h(1)? -1 Let w(b) = 9*b - 5. Calculate w(7). 58 Let w(g) = -2*g - 4. What is w(12)? -28 Let c(y) = y**3 - 5*y**2 - 16*y - 6. Calculate c(7). -20 Let i(m) = 3*m + 2. Determine i(0). 2 Let b(v) = -v**2 + 32*v - 239. What is b(19)? 8 Let x(m) = -m**3 + 13*m**2 + 48*m - 22. Calculate x(16). -22 Let r(w) = 37*w - 626. Calculate r(17). 3 Let o(r) = 2*r - 15. Give o(9). 3 Let x(n) = -n**3 + 21*n**2 + 25*n - 18. What is x(22)? 48 Let i(o) = 17*o**3 + o. Calculate i(1). 18 Let i(s) = 11*s**2 - 56*s + 3. What is i(5)? -2 Let q(m) = -5*m + 96. Give q(21). -9 Let q(l) = -l**3 + 7*l**2 - 8*l + 5. Determine q(6). -7 Let l(w) = -10*w - 142. Give l(-14). -2 Let c(x) = x**2 + 26*x + 174. What is c(-14)? 6 Let i(o) = -4*o - 44. Calculate i(-11). 0 Let n(v) = -v**2 - 12*v + 13. Determine n(-14). -15 Let f(i) = 4*i**3 - i - 1. Give f(-1). -4 Let a(l) = -l**3 - 2*l**2 - 24*l + 54. Determine a(2). -10 Let g(z) = z**3 - 11*z**2 + 8*z + 26. What is g(10)? 6 Let j(t) = 2*t**3 - t**2 + t + 1. What is j(-1)? -3 Let u(z) = -2*z**2 + 5*z + 1. Give u(4). -11 Let y(r) = -r**2 - 9*r + 3. What is y(-8)? 11 Le
{ "pile_set_name": "DM Mathematics" }
th root of 25312 to the nearest integer? 3 What is 778 to the power of 1/2, to the nearest integer? 28 What is 158060 to the power of 1/2, to the nearest integer? 398 What is the square root of 7631 to the nearest integer? 87 What is 6301 to the power of 1/2, to the nearest integer? 79 What is 6557 to the power of 1/5, to the nearest integer? 6 What is the ninth root of 182 to the nearest integer? 2 What is the cube root of 753 to the nearest integer? 9 What is 1159 to the power of 1/3, to the nearest integer? 11 What is the square root of 27948 to the nearest integer? 167 What is 12926 to the power of 1/3, to the nearest integer? 23 What is 12825 to the power of 1/2, to the nearest integer? 113 What is 2972 to the power of 1/3, to the nearest integer? 14 What is 2307 to the power of 1/2, to the nearest integer? 48 What is 8550 to the power of 1/2, to the nearest integer? 92 What is 15094 to the power of 1/3, to the nearest integer? 25 What is 344 to the power of 1/3, to the nearest integer? 7 What is 22 to the power of 1/10, to the nearest integer? 1 What is the third root of 3969 to the nearest integer? 16 What is 631 to the power of 1/2, to the nearest integer? 25 What is the eighth root of 760 to the nearest integer? 2 What is the third root of 607 to the nearest integer? 8 What is 1782 to the power of 1/2, to the nearest integer? 42 What is the cube root of 163562 to the nearest integer? 55 What is 890 to the power of 1/3, to the nearest integer? 10 What is 19066 to the power of 1/5, to the nearest integer? 7 What is the fifth root of 5828 to the nearest integer? 6 What is the cube root of 404 to the nearest integer? 7 What is the square root of 1800 to the nearest integer? 42 What is the sixth root of 435 to the nearest integer? 3 What is the square root of 8844 to the nearest integer? 94 What is the fourth root of 3827 to the nearest integer? 8 What is the cube root of 4628 to the nearest integer? 17 What is the cube root of 919 to the nearest integer? 10 What is 727 to the power of 1/4, to the nearest integer? 5 What is the seventh root of 1060 to the nearest integer? 3 What is 5725 to the power of 1/3, to the nearest integer? 18 What is 757 to the power of 1/3, to the nearest integer? 9 What is 1174 to the power of 1/2, to the nearest integer? 34 What is 3986 to the power of 1/2, to the nearest integer? 63 What is the tenth root of 135196 to the nearest integer? 3 What is 6802 to the power of 1/2, to the nearest integer? 82 What is the square root of 7739 to the nearest integer? 88 What is 17079 to the power of 1/10, to the nearest integer? 3 What is the third root of 12640 to the nearest integer? 23 What is the cube root of 2006 to the nearest integer? 13 What is 3118 to the power of 1/2, to the nearest integer? 56 What is the square root of 3948 to the nearest integer? 63 What is 22320 to the power of 1/8, to the nearest integer? 3 What is the sixth root of 7448 to the nearest integer? 4 What is 2959 to the power of 1/9, to the nearest integer? 2 What is the cube root of 139033 to the nearest integer? 52 What is 10929 to the power of 1/7, to the nearest integer? 4 What is 810 to the power of 1/2, to the nearest integer? 28 What is 19445 to the power of 1/10, to the nearest integer? 3 What is 827 to the power of 1/3, to the nearest integer? 9 What is 1369 to the power of 1/8, to the nearest integer? 2 What is 85742 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 40466 to the nearest integer? 4 What is the ninth root of 59439 to the nearest integer? 3 What is the square root of 106751 to the nearest integer? 327 What is the cube root of 15161 to the nearest integer? 25 What is 46143 to the power of 1/2, to the nearest integer? 215 What is the third root of 5370 to the nearest integer? 18 What is the cube root of 101162 to the nearest integer? 47 What is 108 to the power of 1/3, to the nearest integer? 5 What is 1166 to the power of 1/2, to the nearest integer? 34 What is the cube root of 30906 to the nearest integer? 31 What is the third root of 45339 to the nearest integer? 36 What is the cube root of 811 to the nearest integer? 9 What is 17240 to the power of 1/7, to the nearest integer? 4 What is 12542 to the power of 1/5, to the nearest integer? 7 What is the fourth root of 1355 to the nearest integer? 6 What is 1027 to the power of 1/3, to the nearest integer? 10 What is 38886 to the power of 1/2, to the nearest integer? 197 What is the eighth root of 16888 to the nearest integer? 3 What is 120812 to the power of 1/9, to the nearest integer? 4 What is 9428 to the power of 1/2, to the nearest integer? 97 What is the ninth root of 4484 to the nearest integer? 3 What is the ninth root of 66855 to the nearest integer? 3 What is the square root of 7024 to the nearest integer? 84 What is 150053 to the power of 1/5, to the nearest integer? 11 What is 3795 to the power of 1/2, to the nearest integer? 62 What is 397 to the power of 1/2, to the nearest integer? 20 What is the square root of 26975 to the nearest integer? 164 What is 3723 to the power of 1/2, to the nearest integer? 61 What is 1012 to the power of 1/3, to the nearest integer? 10 What is the square root of 31 to the nearest integer? 6 What is the cube root of 1986 to the nearest integer? 13 What is the fifth root of 9502 to the nearest integer? 6 What is the third root of 17993 to the nearest integer? 26 What is the cube root of 737 to the nearest integer? 9 What is 5773 to the power of 1/5, to the nearest integer? 6 What is 5802 to the power of 1/2, to the nearest integer? 76 What is the square root of 8154 to the nearest integer? 90 What is 74465 to the power of 1/9, to the nearest integer? 3 What is 2107 to the power of 1/2, to the nearest integer? 46 What is 6597 to the power of 1/3, to the nearest integer? 19 What is the third root of 488 to the nearest integer? 8 What is the third root of 335 to the nearest integer? 7 What is 25446 to the power of 1/7, to the nearest integer? 4 What is the third root of 32917 to the nearest integer? 32 What is 763 to the power of 1/10, to the nearest integer? 2 What is 92808 to the power of 1/3, to the nearest integer? 45 What is the tenth root of 56196 to the nearest integer? 3 What is 4123 to the power of 1/6, to the nearest integer? 4 What is the fifth root of 101430 to the nearest integer? 10 What is the square root of 1937 to the nearest integer? 44 What is the third root of 4966 to the nearest integer? 17 What is the fourth root of 61 to the nearest integer? 3 What is the fourth root of 39507 to the nearest integer? 14 What is 1042 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 8913 to the nearest integer? 3 What is the seventh root of 461 to the nearest integer? 2 What is the square root of 74 to the nearest integer? 9 What is the sixth root of 2524 to the nearest integer? 4 What is 10303 to the power of 1/2, to the nearest integer? 102 What is the sixth root of 2673 to the nearest integer? 4 What is the square root of 2435 to the nearest integer? 49 What is the eighth root of 4294 to the nearest integer? 3 What is the cube root of 1292 to the nearest integer? 11 What is the third root of 523 to the nearest integer? 8 What is the square root of 7889 to the nearest integer? 89 What is 77586 to the power of 1/2, to the nearest integer? 279 What is the fifth root of 1585 to the nearest integer? 4 What is 2028 to the power of 1/3, to the nearest integer? 13 What is the ninth root of 2536 to the nearest integer? 2 What is the seventh root of 8 to the nearest integer? 1 What is 208958 to the power of 1/4, to the nearest integer? 21 What is 63431 to the power of 1/2, to the nearest integer? 252 What is 9372 to the power of 1/2, to the nearest integer? 97 What is 118 to the power of 1/6, to the nearest integer? 2 What is 17289 to the power of 1/3, to the nearest integer? 26 What is the square root of 466 to the nearest integer? 22 What is the square root of 14133 to the nearest integer? 119 What is the eighth root of 641 to the nearest integer? 2 What is 74164 to the power of 1/2, to the nearest integer? 272 What is the square root of 125634 to the nearest integer? 354 What is 23
{ "pile_set_name": "DM Mathematics" }
r**2 + 3*r**2 - 6*r**2)*(-r**2 + 4*r**2 - r**2) + 0*r**4 - 5*r**4 + 4*r**4 + 17*r**2 - 17*r**2 + 10*r**4 - 2*r**4 + 2*r**4 - r**4. 6*r**4 Expand (2*s**2 - 4*s + 4*s)*(31*s**2 - 29*s**2 - 7 + 6*s + 6). 4*s**4 + 12*s**3 - 2*s**2 Expand -7*y + 93*y**2 - y**3 - 93*y**2 + 4*y**3 - 2*y**3 - y**3 + (4*y**2 - 4*y**2 + 2*y**2)*(-2*y - 1 + 1) - 14*y**3 - 29*y**3 + 6*y**3. -41*y**3 - 7*y Expand (0*u - u + 3*u)*((-58*u**2 - 19*u**2 + 30*u**2)*(-3 + 0 + 0)*(0 - 5 + 3) + (-2 + 2 + 2)*(-u - u**2 + u)). -568*u**3 Expand (0*k**2 + 12*k**4 + 0*k**2)*(0*k - k - 12 + 10). -12*k**5 - 24*k**4 Expand -29*n**2 + 47*n**2 - 24*n**2 + (-2*n**2 + 3*n**2 - 2*n**2)*(0 - 2 + 0). -4*n**2 Expand (-i**4 - 4*i**4 + i**4)*(11 - 107*i + 52*i + 56*i). -4*i**5 - 44*i**4 Expand (y - 3*y + 4*y)*(-y + 3*y + 0*y)*(9*y**2 + 8739*y - 8739*y + y**3 - 2). 4*y**5 + 36*y**4 - 8*y**2 Expand (-52*n - 874 + 874)*(-2 + 2 - 1). 52*n Expand -2*b + b**4 - b**3 + b**3 + (3*b**4 - 3*b**4 - 2*b**4)*(1 - 5 + 1)*(1 + 3 - 5). -5*b**4 - 2*b Expand (b**2 - 2*b**3 - b**2 + (-4*b**3 + 3*b**3 + 2*b**3)*(-5 + 2 + 0))*(-3*b**2 - 8*b + 8*b) + (-b**4 - 3*b**3 + 3*b**3)*(-5 + 5 - 2*b). 17*b**5 Expand (12*h - 8*h + 38*h)*(2*h - h + 0*h + (1 - 1 - 2*h)*(-2 - 2 + 2) - 23 + 23 + 7*h). 504*h**2 Expand (1 - 2 + 2)*(57*i**2 - 38 + 38). 57*i**2 Expand (-5 - 1 + 4)*(-5 + 4 + 3 + (0 - 3 + 2)*(-3 + 0 + 2) + 2 - 3 + 3 - 2 + 3 - 2 - 20 + 12 - 30)*(0*h + 2*h + 0*h). 136*h Expand (29123 - 29123 + 151*c)*(-2*c**4 + 0*c**4 + 3*c**4). 151*c**5 Expand (-255*d**3 - 29*d**5 + 255*d**3)*(-3 + 0 - 3). 174*d**5 Expand (3*q + q - 2*q)*(-1 + 1 - 2*q) + (5*q**2 + 2*q**2 + 9*q**2)*(3 - 3 - 1) + (-6 + 3 + 2)*(2*q**2 + 2*q**2 - 5*q**2). -19*q**2 Expand (0 + 9 - 2 + 3)*(-17*t - 9*t + 9*t). -170*t Expand (2*z + 0 + 0)*(3*z + 2*z - 3*z) + 37*z**2 + 59*z**2 + 4*z**2. 104*z**2 Expand -m + 3*m + 0*m + (2*m + m + 2*m)*(0 + 1 - 3) + (-4*m + 3*m + 4*m)*(1 - 2 - 2). -17*m Expand (-4*m**2 + 16*m**2 - 4*m + 5*m)*(5*m**3 - 29*m**3 + 11*m**3). -156*m**5 - 13*m**4 Expand (4*k + k - 7*k)*(367*k**4 - 15 + 14 + 205*k**4). -1144*k**5 + 2*k Expand (-6*b**2 - 8*b + 8*b)*(-5 + 0 - 1 + (-2 + 0 + 1)*(-2 + 1 - 1)). 24*b**2 Expand (3*r - 3*r + 3*r)*(-106*r + 325 - 325)*(0*r + 2*r - 3*r). 318*r**3 Expand (34*h - 6*h + 45*h)*(5 - 5 - h**2) + (-7*h + 1 + 4*h + 2*h)*(3*h - 5*h + 3*h**2 + h**2). -77*h**3 + 6*h**2 - 2*h Expand (3*n - 4*n + 0*n)*(12 + 110*n - 11 + 5*n). -115*n**2 - n Expand (-2*x + 0*x + 0*x)*(-x + 0*x - 9*x)*(2 + 6 - 3)*(-7 + 7 - 3*x). -300*x**3 Expand (-12*s - 5 + 5)*(-s**2 + 26*s**4 - 2*s**2 + s**2) + (-2*s - s + 4*s)*(3*s**3 - 3*s**3 - 2*s**4) - s**5 - s**4 + s**4 - 2*s**5 + 0*s**2 + 0*s**2. -317*s**5 + 24*s**3 Expand (-19 - 21 - 16)*(-3 + 3*c**2 + 6 - 2). -168*c**2 - 56 Expand (132 - 194 + 2*q**2 - 3*q + 96)*(0*q + 2*q - 3*q). -2*q**3 + 3*q**2 - 34*q Expand (4 - 1 - 5)*(0 - 1 - 1)*(-84*k - k**3 + 84*k). -4*k**3 Expand (-1 + 1 + 1)*(-2*k**4 - 2*k**4 - k**4) + 55*k**4 - 107*k**4 - 29*k**4. -86*k**4 Expand (-2*t + 0*t + 0*t)*(290*t - 377*t + 395*t + 376*t). -1368*t**2 Expand (14 + 64 + 94 + (1 + 0 - 4)*(4 - 6 + 3) - 1 - 3 + 5)*(k**2 + 2*k**2 - 4*k**2)*(2*k + 0*k + 0*k). -340*k**3 Expand 3 + 2*i**2 - 3 + i**2 - 2*i**2 - 5*i**2 + (0*i**2 - 9*i**2 - i**2)*(3 - 3 - 2) + (2 - 2 + 2*i)*(-i + i + 2*i). 20*i**2 Expand -385*o - 2 - 101*o**2 + 385*o + 0 - 2*o**2 + 0 + (-2*o - 2*o + 5*o)*(2*o - 2*o - 2*o). -105*o**2 - 2 Expand (-2*m - 2*m + 2*m - m + m + 2*m + (0*m - m - m)*(1 + 5 - 3) + 4*m - m - 2*m + 2*m + 2*m - m)*(-2 + 3*m**2 + 2). -6*m**3 Expand (s**3 + s**3 - 3*s**3)*(-570 + 1398 - 684). -144*s**3 Expand -14*x**4 + 5*x**4 - 2*x**4 + (-x**4 + x - x)*(1 - 1 - 1) + (0 - 3*x**2 + 0)*(-2*x**2 - 5*x + 5*x). -4*x**4 Expand (0*k - k - 7*k)*(-2*k + 4 - 4)*(242 - 242 - 7*k). -112*k**3 Expand -5*i**5 - i**5 + 10*i**3 + 4*i**5 - 3*i**5 + 3*i**5 + i**5 + (0*i + 0*i - i)*(-5*i**4 + 10*i**4 + 2*i**4). -8*i**5 + 10*i**3 Expand (-11*n**2 + 0*n**4 + 335*n**3 - n**4 - 334*n**3)*(-n + 3 - 3). n**5 - n**4 + 11*n**3 Expand -19*i**5 + 7*i**5 - 3*i**5 + (2*i**4 - i**4 + i**4)*(-3 + 2*i + 3). -11*i**5 Expand (80*x - 21 - 81*x - 32)*(-3*x**3 + 2*x**3 + 3*x**3). -2*x**4 - 106*x**3 Expand (24*p**2 - 24*p**2 + 3*p**4)*(-7 + 2 + 4)*(1 - 1 + 2*p). -6*p**5 Expand (-19 + 19 - 3*h)*(0 - 5 + 0)*(0*h**4 + 2*h**4 - 4*h**4) + h**5 - 3*h**5 + h**5. -31*h**5 Expand (5*w**2 + 3576*w + 3 + w**2 - 12*w**3 - 3575*w)*(-3*w + 2*w + 2*w). -12*w**4 + 6*w**3 + w**2 + 3*w Expand (-j**2 - 4*j**2 + 4*j**2)*(-j - 2*j + 4*j) + 35*j + 5*j**3 - 19*j + 5*j. 4*j**3 + 21*j Expand (4 - 3 - 3)*(2*w - 2*w + w**3) - 2*w - 2565*w**3 + 31 - w**2 + 3 + 2564*w**3. -3*w**3 - w**2 - 2*w + 34 Expand (-1 - 1 + 38 + 6)*(-36*d - 4*d - 5*d). -1890*d Expand (-6*k + k + 4*k)*(2 + 1 - 5) - 6*k + 13*k - 22 - 2*k. 7*k - 22 Expand ((-4 - 3 + 3)*(15 + 12*z**2 - 15) + 2*z**2 - z**2 + 0*z**2)*((4*z - 4*z - 2*z)*(1 + 1 - 1) + 18 - 18 - 5*z). 329*z**3 Expand (4*t - 21*t + 14*t)*(-2*t**4 + 10 + 4*t - 10). 6*t**5 - 12*t**2 Expand (10*f + 2*f**2 - 10*f)*(-3*f**2 - 3*f**2 + 0*f**2 + (4 + f - 4)*(-1 - f + 1)). -14*f**4 Expand (-2 - 12 - 19*a**5 + 20*a**5)*(2 + 2 - 2)*(-1 - 3 + 5 + (-4 + 3 - 1)*(2 - 3 - 1) + 4 - 5 + 0 - 2 + 1 - 1). 4*a**5 - 56 Expand (0*z - 2*z**2 + 0*z)*(3*z**3 + 3*z**3 - 4*z**3) - 31*z**5 - 469*z - 5*z**4 + 814*z - 350*z. -35*z**5 - 5*z**4 - 5*z Expand -5*r**2 - 5*r**2 + 2*r**2 + (-5*r - r + 2*r)*(r + 5 - 3*r + 3*r). -12*r**2 - 20*r Expand (-1 + 1 + 4)*(-2 - 1 + 5)*(x**3 - x**2 + x**2). 8*x**3 Expand (-3*l + 4*l + l + (3 - 4 - 1)*(5 - 5 - 2*l))*(56*l**3 + 42*l**3 - 32*l**3). 396*l**4 Expand 6*l**3 - 8*l**3 + 11*l - 6*l - 2*l**5 + (l + 4 - 4)*(3 - 3 - 5)*(-2*l**4 - 5*l + 5*l). 8*l**5 - 2*l**3 + 5*l Expand (-3 - 2*z + 3)*(-4 + 4 - z**2) + 374*z**3 - 434*z**3 + 302*z**3 + z - z + z**3. 245*z**3 Expand (62*g - 36*g - 29*g)*(-1 + 2 + 0) + (1 + 2 - 5)*(-g - 3 + 3). -g Expand -6*x + 29*x + 39*x + (-3*x + 2*x + 0*x)*(-4 + 0 + 3). 63*x Expand (0*n - 5*n + n + (-1 + 3*n - n - 3*n)*(-3 + 1 - 3))*(-4*n + 6*n + n). 3*n**2 + 15*n Expand (6 - 6 - 3)*(4*z + 3*z + 9*z)*(0 + 2 + 0). -96*z Expand ((2 - 5 + 4)*(3*s - 5*s + 0*s) + (-25 - 3 + 3)*(0*s + 0*s - 2*s))*(3 - 1 - 1). 48*s Expand (-824 - 42*t**2 + 824)*(2*t**2 - 5*t**2 + 0*t**2 + (t - 3*t + t)*(4 + 2*t - 4) + 2*t**2 + 4*t**2 - 5*t**2). 168*t**4 Expand (k**3 - 2*k**3 + 0*k**3)*(1 - 1 - 1)*(4 + 0 + 1)*(6 + 5*k - 6). 25*k**4 Expand (19 - 19 + 10*v**2)*(2*v + 2*v - 2*v)*(28 - 9*v**2 - 28). -180*v**5 Expand (3*r**4 + 4 - 4)*(34*r - 27*r - 1 - 62*r). -165*r**5 - 3*r**4 Expand (-3*r**2 + 3*r**2 - 2*r**2)*(-3*r + 3*r + r**2) - 8*r**3 + 4*r**4 + 8*r**3 + 2*r**4 + 2*r**4 - 3*r**4 + (-2*r**3 + 7*r**3 - 4*r**3)*(-1 + 1 + r). 4*r**4 Expand 0*u + u + u + (-36 + 77 + 32)*(u + 0 + 0). 75*u Expand (-29491 + 29491 - 487*p)*(2*p + p - 4*p + 2). 487*p**2 - 974*p Expand -689*b + 689*b - 8*b**5 + (4*b**2 - 2*b**2 + 0*b**2)*(-3*b**3 + 3*b**3 + b**3). -6*b**5 Expand 23*c**5 - 10*c**5 - 5*c**5 + 0*c**5 - c**5 - c**5 + (-2 + c + 2)*(2*c**4 - 3*c**4 + 2*c**4) + 4*c**5 + 2*c**5 + 4*c**5 - 6*c + c**5 + 6*c. 18*c**5 Expand 3*i + 10*i + i + (-4 + 4 + 3)*(-3*i + i - i) + i - 5 + 5. 6*i Expand (2 - 3 - 1)*(9*x**2 - 2*x**4 - 9*x**2) - 2 + 0 - 22*x**4 + 23*x**4 - 5*x. 5*x**4 - 5*x - 2 Expand (-98*l - 43*l - 153*l)*(5*l + l - 4*l). -588*l**2 Expand (-19*t + 2*t**2 - 22*t**3 + 3*t**3 + 18*t)*(-4*t**2 + 4*t**2 + t**2). -19*t**5 + 2*t**4 - t**3 Expand (-3*s**3 + 4*s**3 + 4*s**3)*(-s**2 + 3*s**2 - 4*s**2) + 8*s**5 + 3*s**5 + s**5 - 3*s**5 + 0*s**5 + 2*s**5 - s**5 + 4*s**5 - 2*s**5. 2*s**5 Expand 2*t**2 - 3*t**2 + 2*t**2 + (4 + 3 - 5)*(3*t**2 - 3*t**2 - t**2) + 9*t**2 - 3*t**2 + t**2 - t**2 + 2 - 2 + 7*t**2 - 3*t**2 - 2*t**2. 7*t**2 Expand (2*v**2 - 6*v**2 + 4*v**2 + 20*v**3)*(-8*v**2 + 17*v**2 + 0*v**2). 180*v**5 Expand -2*h**2 - 2*h**2 + 3*h**2 + (0*h - h - h)*(5*h - 2*h - h) - 2*h**2 - 2*h**2 + 0*h**2 - 2*h**2 - 2*h**2 - 19*h**2. -32*h**2 Expand (3 + k + 1 - 2)*(5 - 97 - 7). -99*k - 198 Expand -12*y**2 - 11*y**2 + 23*y**2 - 233*y**3 + (y + 5*y - 5*y)*(-3*y**2 + 0*y**2 + 5*y**2). -231*y**3 Expand (138*j - 5*j - 79*j)*(-4*j**2 + j**2 + 2*j**2) + j**3 - j**2 + j**2. -53*j**3 Expand (2 + 0 - 6)*(0 + 0 - h)*(0*h**3 + 0*h**3 - 4*h**3). -16*h**4 Expand (1 + 1 + 0)*(-5 - 9 + 6)*(0 - 3*j + 0) + 2 + 2*j - 1 - 2. 50*j - 1 Expand (b - b +
{ "pile_set_name": "DM Mathematics" }
. 4, 0.4, -0.2, -618 Sort -21, -3, -15, 3, -2 in ascending order. -21, -15, -3, -2, 3 Put -7, 66, -16, -1 in increasing order. -16, -7, -1, 66 Sort -5, -4, 4, -9, -8 in descending order. 4, -4, -5, -8, -9 Sort 1.7, 3, -107 in descending order. 3, 1.7, -107 Put -2/13, -2.01, 0.4, 5/4 in increasing order. -2.01, -2/13, 0.4, 5/4 Put 12, 2, 1, 3, 6 in descending order. 12, 6, 3, 2, 1 Sort -5, -2, 52, -10. -10, -5, -2, 52 Put -5, -134, -9 in increasing order. -134, -9, -5 Sort 15, -4, -5 in increasing order. -5, -4, 15 Sort -5, 0, 415, 5 in ascending order. -5, 0, 5, 415 Put -4, -59, 11 in ascending order. -59, -4, 11 Sort -3, -2, 9, 5, -12 in descending order. 9, 5, -2, -3, -12 Put -5, 4, -71 in decreasing order. 4, -5, -71 Put 2/13, -1, -4/5, -0.6 in decreasing order. 2/13, -0.6, -4/5, -1 Put -2, -27, 2 in increasing order. -27, -2, 2 Sort 6, 1/4, 378. 1/4, 6, 378 Sort 74, 90, -5 in decreasing order. 90, 74, -5 Sort 1/9, -11, 4, -0.4 in increasing order. -11, -0.4, 1/9, 4 Sort -9, -6, -3. -9, -6, -3 Put -3, 4, 26 in ascending order. -3, 4, 26 Put 2/5, -0.1, 41, 0.2 in descending order. 41, 2/5, 0.2, -0.1 Sort -5/3, -2/7, -0.1, 134, -4/5 in ascending order. -5/3, -4/5, -2/7, -0.1, 134 Sort -33, -2/9, 6 in increasing order. -33, -2/9, 6 Sort -1, -5, -0.07, 171 in increasing order. -5, -1, -0.07, 171 Sort -691, 3, 2. -691, 2, 3 Put -2, 15, 91 in decreasing order. 91, 15, -2 Sort -4, -78, -6. -78, -6, -4 Sort 2/5, -3, 44, -4/9 in decreasing order. 44, 2/5, -4/9, -3 Sort 3/4, 4, 14/5, -0.5, -2 in decreasing order. 4, 14/5, 3/4, -0.5, -2 Put -13, 0.1, -0.69 in descending order. 0.1, -0.69, -13 Sort -0.7, 0, -6 in decreasing order. 0, -0.7, -6 Put -3, 0.115, -4, 3, -5 in decreasing order. 3, 0.115, -3, -4, -5 Sort -7, 2, 0, -4, -5 in increasing order. -7, -5, -4, 0, 2 Sort 5, 0, 1, -1. -1, 0, 1, 5 Sort 17, -1, -5, -8 in increasing order. -8, -5, -1, 17 Sort 4, -3, -19 in descending order. 4, -3, -19 Sort -30, -2, 3 in increasing order. -30, -2, 3 Sort 11, -4, 1, -5 in decreasing order. 11, 1, -4, -5 Sort 0.4, -0.0352, -2. -2, -0.0352, 0.4 Put 35, 0.1, 2/17 in decreasing order. 35, 2/17, 0.1 Sort -2, 1.9, -2/11, 2 in ascending order. -2, -2/11, 1.9, 2 Put -5/6, 16, -40, 1 in descending order. 16, 1, -5/6, -40 Put -19, -0.1, -0.3 in decreasing order. -0.1, -0.3, -19 Put -7, -6, 5, -1 in descending order. 5, -1, -6, -7 Sort -1, -1/3, -2, 2/11, -0.07 in descending order. 2/11, -0.07, -1/3, -1, -2 Put 2, 0.3, -48 in decreasing order. 2, 0.3, -48 Sort -23, 1, 4, -3 in decreasing order. 4, 1, -3, -23 Sort -159, 5, -4 in decreasing order. 5, -4, -159 Sort -1, 5/4, 1.6 in decreasing order. 1.6, 5/4, -1 Sort -5, -4, -3. -5, -4, -3 Put -2, 3, -7 in descending order. 3, -2, -7 Put 2/13, 0.2, 6, -17/12 in decreasing order. 6, 0.2, 2/13, -17/12 Sort 86, 5, -2, 2. -2, 2, 5, 86 Sort 31, -5, 5 in decreasing order. 31, 5, -5 Sort 108, -3, 5, -4. -4, -3, 5, 108 Put -0.2, 2, 0.2, 20, 0 in decreasing order. 20, 2, 0.2, 0, -0.2 Sort -4, 2, 8 in ascending order. -4, 2, 8 Sort 2/13, -397, 1, 0.3. -397, 2/13, 0.3, 1 Put 4, 45, 1 in decreasing order. 45, 4, 1 Put -3606, 5, 1 in decreasing order. 5, 1, -3606 Sort -0.04, 9, 0.4, 1/3, 1/2 in decreasing order. 9, 1/2, 0.4, 1/3, -0.04 Sort -34, -1, -40, -5 in decreasing order. -1, -5, -34, -40 Put -3, -1, -5, 4, 1 in descending order. 4, 1, -1, -3, -5 Put -6, -4, -2/11, -11, -1 in ascending order. -11, -6, -4, -1, -2/11 Put 3, -2, -1, 2 in descending order. 3, 2, -1, -2 Put -1, 0.1, -1/3, 6/5 in ascending order. -1, -1/3, 0.1, 6/5 Sort 4, -8, 1, -60. -60, -8, 1, 4 Sort -6/41, -0.2, -0.1 in descending order. -0.1, -6/41, -0.2 Sort 0.6, 5, 4 in descending order. 5, 4, 0.6 Sort -5, 3, -140 in ascending order. -140, -5, 3 Sort 0, -47, -1 in ascending order. -47, -1, 0 Put 5, 3, -4, -6 in ascending order. -6, -4, 3, 5 Put 14, -2, -4 in ascending order. -4, -2, 14 Put 12, 0.1, -3, 3/4 in ascending order. -3, 0.1, 3/4, 12 Sort 0, 1, 12, -4. -4, 0, 1, 12 Put 77, -1, -3 in ascending order. -3, -1, 77 Sort 3, -4, -13, 1, -23. -23, -13, -4, 1, 3 Put -0.52, 9/11, -5 in decreasing order. 9/11, -0.52, -5 Sort 0.011, -0.4, -5 in descending order. 0.011, -0.4, -5 Put 3, 5, -5, -2 in increasing order. -5, -2, 3, 5 Sort -1/31, 10, 0.4. -1/31, 0.4, 10 Put 1, 5, 4, 3/10, -0.4 in increasing order. -0.4, 3/10, 1, 4, 5 Put -4, 1, 71 in ascending order. -4, 1, 71 Sort -5, -9, -3, 2, 31 in descending order. 31, 2, -3, -5, -9 Put -474, 3, 1, 5 in increasing order. -474, 1, 3, 5 Put -10, -2, 4, 6 in decreasing order. 6, 4, -2, -10 Sort 6, -12, -2. -12, -2, 6 Sort -870, -4, 2, 4, -2 in decreasing order. 4, 2, -2, -4, -870 Sort -3, -4, -5, 0 in increasing order. -5, -4, -3, 0 Put 0.3, -1, -4, -15/7 in descending order. 0.3, -1, -15/7, -4 Sort -4, 0.47, 1, -0.3, -0.03. -4, -0.3, -0.03, 0.47, 1 Sort 0, 7, 1, 5 in decreasing order. 7, 5, 1, 0 Sort -14, -5, 0 in decreasing order. 0, -5, -14 Sort -2, -4, -9 in decreasing order. -2, -4, -9 Sort -2, -5, 5, -1. -5, -2, -1, 5 Sort 1, -29, 2, -1. -29, -1, 1, 2 Sort -2/9, -3/5, 3, -2/5 in decreasing order. 3, -2/9, -2/5, -3/5 Sort -5, -375/2, 1 in increasing order. -375/2, -5, 1 Put 27, 49, -2 in ascending order. -2, 27, 49 Sort -93, 0, 1 in ascending order. -93, 0, 1 Sort 0.08, 0.1, -1, 2/17 in descending order. 2/17, 0.1, 0.08, -1 Sort 7/5, 2/23, -1, -3/7 in descending order. 7/5, 2/23, -3/7, -1 Sort -3, -9, 5, -0.03. -9, -3, -0.03, 5 Put 4, 0.095, 0, 2/7, -2/5 in decreasing order. 4, 2/7, 0.095, 0, -2/5 Put 2, -0.1, 3/13, 1 in descending order. 2, 1, 3/13, -0.1 Put -0.1, -2/11, 2/5, 0.1 in decreasing order. 2/5, 0.1, -0.1, -2/11 Put -4, -38, 2, -0.4, -1 in decreasing order. 2, -0.4, -1, -4, -38 Sort -4, -1, 4, -53. -53, -4, -1, 4 Put -43, 4, -2 in descending order. 4, -2, -43 Put -12, -2, 0 in ascending order. -12, -2, 0 Put -4, 1, 0, 33, -3 in descending order. 33, 1, 0, -3, -4 Sort 21, 85, 2 in decreasing order. 85, 21, 2 Put -16, 0.6, -0.3, 0.2, -1/4 in descending order. 0.6, 0.2, -1/4, -0.3, -16 Put -5, 3, -6 in descending order. 3, -5, -6 Sort 5, -0.17, 2/5, -0.1. -0.17, -0.1, 2/5, 5 Sort 5, 166, 4, -1, 0. -1, 0, 4, 5, 166 Sort -1/2, -2/5, -4, -106, 3. -106, -4, -1/2, -2/5, 3 Sort -4, -2, 5, 759. -4, -2, 5, 759 Sort 1, -325, 4, 5 in ascending order. -325, 1, 4, 5 Sort 7, 5, 66 in increasing order. 5, 7, 66 Sort -7, -2, -4, -6, 3. -7, -6, -4, -2, 3 Sort 13, 5, -2, 1.5, 0.1. -2, 0.1, 1.5, 5, 13 Put 8, -0.3, -13, 1 in descending order. 8, 1, -0.3, -13 Put 2/13, 0, -629/2 in increasing order. -629/2, 0, 2/13 Sort -9.88, 0.1, 3 in descending order. 3, 0.1, -9.88 Put 0.2, -13/2, 6/5, 0.6 in decreasing order. 6/5, 0.6, 0.2, -13/2 Sort -13, -17, 16 in decreasing order. 16, -13, -17 Put 1, 4, 24 in descending order. 24, 4, 1 Put -12, -3, -34 in increasing order. -34, -12, -3 Put 239, -1, -4 in increasing order. -4, -1, 239 Put 5, -5, -3, -63 in descending order. 5, -3, -5, -63 Put -0.078, 0.11, -3 in increasing order. -3, -0.078, 0.11 Sort -49, -4, -3 in increasing order. -49, -4, -3 Sort 25, 1, -5, 3 in descending order. 25, 3, 1, -5 Sort 6/7, 1, 1/18, 0, -0.3. -0.3, 0, 1/18, 6/7, 1 Put -125, -1, 13 in decreasing order. 13, -1, -125 Sort -4, -2, -3, 19 in increasing order. -4, -3, -2, 19 Put 0, -6, -1/6, 2 in descending order. 2, 0, -1/6, -6 Sort -2/435, 5, -1. -1, -2/435, 5 Put 3, 5, -824 in decreasing order. 5, 3, -824 Sort 1/30, -1/23, 2, -5. -5, -1/23, 1/30, 2 Put -0.06, -2, 23 in decreasing order. 23, -0.06, -2 Sort 0.3, 0.1, 7.4, -1. -1, 0.1, 0.3, 7.4 Sort 3, 7, -8, -0.4, 0 in descending order. 7, 3, 0, -0.4, -8 Put 2/11, 2/5, 2/17 in decreasing order. 2/5, 2/11, 2/17 Put 326, -3, -2 in increasing order. -3, -2, 326 Sort 1, -3, -82, -1 in increasing order. -82, -3, -1, 1 Put -4, 0.1, 4, -63 in ascending order. -63, -4, 0.1, 4 Sort 3, -95, 0, 2, -6/11 in increasing order. -95, -6/11, 0, 2, 3 Put 49, -1, 0, 7 in descending order. 49, 7, 0, -1 Sort -114, 3.3, 0.4 in ascending order. -114, 0.4, 3.3 Sort 2, 1, 11, -2, -4 in decreasing order. 11, 2, 1, -2, -4 Put 797, 2, -4 in increasing order. -4, 2, 797 Sort 291, -2, -4. -4, -2, 291 Sort 5, 6, -5, -1, -4 in descending order. 6, 5, -1, -4, -5 Put -26, 5, -39 in decreasing order. 5, -26, -39 Put -1, 0, -4, 2 in descending order. 2, 0, -1, -4 Put 28, -1, -28 in ascendi
{ "pile_set_name": "DM Mathematics" }
- 6*j - 4. What is w(f)? 4 Let z(i) = 3*i + 5. Suppose 5*o - 27 = -4*c - 8, -2*o = c - 7. Let u(v) = 2*v + 5. Let w(l) = o*z(l) - 4*u(l). Give w(4). -1 Let c(z) = -4*z. Suppose 17 = w + 2*p, -2*p + 62 = 3*w + w. Let t = w + -11. Suppose -4 = t*v - 0. What is c(v)? 4 Let d(b) = -b - 2 + 9*b + 7. Let j(z) = z. Let p(q) = d(q) - 6*j(q). Calculate p(-4). -3 Let a(h) = h - 1. Suppose 2*v - 8*v + 30 = 0. Let x = v + -8. Give a(x). -4 Let g(c) = -c**3 + 3*c**2 + 2*c - 3. Let r be (-24)/(-15) - 2/(-5). Suppose 5*w - 22 = -3*v, 5*v + r*w - 12 = 6*w. What is g(v)? -11 Let c(h) = 5*h + 3. Suppose 2*n - n = -2*r - 8, -2*r + 4*n - 8 = 0. Give c(r). -17 Let a = -33 - -53. Suppose 0 = -5*z - 3*d + 25, d - a - 5 = -5*z. Let k(t) be the first derivative of -t**4/4 + 4*t**3/3 + 5*t**2/2 + 3*t + 1. Determine k(z). 3 Let q(a) = a**2 + 10*a + 12. Let j = 37 - 46. Give q(j). 3 Suppose -4*p + 2 = 18. Let r(h) be the first derivative of 3*h**2/2 + 1. Give r(p). -12 Let s be 1 - ((5 - 2) + -2). Let k(h) = -5*h - 3. Let d(v) = 0*v + 0*v + v + 2 + 3*v. Let x(c) = 4*d(c) + 3*k(c). What is x(s)? -1 Let q(y) = y**2 + 5*y + 4. Let c(s) = s + 6. Let x(o) = 2*o + 11. Let d(g) = -7*c(g) + 4*x(g). Let z be d(-6). Determine q(z). 0 Let z = 5 - 3. Suppose z + 3 = -5*w. Let u(v) = -2*v - 4*v**3 + 1 + v**3 + 4*v. Give u(w). 2 Let t(q) = -q**3 + 6*q**2 + q - 1. Let s be t(6). Suppose 2*p + 0*p = -5*x + 12, -4*x + 3 = -s*p. Let w(o) = -o**3 + 3*o**2 - 2*o - 1. Determine w(x). -1 Let t(b) = -b + 3 + 5 - 3. Determine t(6). -1 Let b = 2 - -1. Let w(j) = -2*j**3 + j**3 + 2*j**3 + 3*j**2 + 3*j - 2*j**b. What is w(4)? -4 Let f be -1 + 6 - 18/6. Let q(u) be the first derivative of -3 + 5*u + 1/2*u**f. Give q(-5). 0 Suppose q + 36 = 7*q. Let r(a) = -a - 1 + 0*a + q*a - 7*a. Give r(-1). 1 Let j(b) = 12*b - 5 - b**2 - 4*b + 0 - 2. Determine j(8). -7 Suppose 3*j + 6 = -0*j. Let q be (-4)/(-24)*3*j. Let f(m) = -16*m**3 + m**2 + m. Determine f(q). 16 Let u(n) be the first derivative of -n**3/3 + 3*n**2 + 11*n - 1. Calculate u(8). -5 Let u(f) = 9*f + 1 - 26*f + 9*f + 7*f - 21*f**3. What is u(1)? -21 Let g(r) be the third derivative of r**6/120 + r**5/30 - r**4/12 - r**3/2 - r**2. Let f = 1 + 2. Suppose -5*p = -3*t + 7, -f*p = p - t + 7. Determine g(p). 1 Let v(m) be the first derivative of m**5/120 + m**4/8 + 2*m**3 - 6. Let x(h) be the third derivative of v(h). Give x(3). 6 Let o(z) = -3 - 3*z - 3*z**3 + 4*z**3 - z**2 + 5*z**2. Let b(h) = -h**3 - 30*h**2 - 29*h - 4. Let k be b(-29). Determine o(k). 9 Let j(f) be the first derivative of f**3/3 + f**2/2 - f + 1. Let n(k) = k**3 - k**2 - 4. Let z be n(2). Let b be j(z). Let u(d) = -4*d. Give u(b). 4 Let u be 0/(((-8)/18)/((-4)/18)). Let l(j) = j**2 + 3*j**3 + 0 - 2*j**3 - 5. What is l(u)? -5 Let y(u) be the second derivative of -u**6/360 + u**5/60 + u**4/8 - 5*u**3/6 + 4*u. Let f(n) be the second derivative of y(n). What is f(-2)? -5 Let m = -1 - -6. Let x(j) = j**3 - 5*j**2. Give x(m). 0 Let r(l) be the second derivative of -l**5/20 - l**4/2 + 4*l**3/3 + 10*l. Determine r(-7). -7 Let h(d) = -12*d - 4. Let j be h(-5). Suppose 3*m = o - 2*o + 32, 5*m - j = -3*o. Let w = m + -5. Let p(n) = n**3 - 5*n**2 + n. Determine p(w). 5 Suppose 2 = -8*f + 10*f. Let c(j) = 3*j**2 + 0*j - 5*j - j**3 + 4*j. Give c(f). 1 Let o(c) be the first derivative of c**4/4 + c**3/3 - c**2/2 + 4*c + 7. Suppose a = 3*a. Give o(a). 4 Suppose -a + 2 = 2*n - 3, 2*a = 5*n - 26. Suppose 3*p = 2*p + 2. Let w(v) = 6*v - 3*v - 2*v**2 + 6*v**2 - 4 - 3*v**p. Determine w(a). -4 Suppose 2 + 1 = -3*y. Let x(o) be the second derivative of o**4/3 - o**3/6 - o**2/2 - 2*o. Calculate x(y). 4 Let j(f) be the first derivative of -2*f**3 + f**2/2 + 35. Give j(1). -5 Let k(p) = -p**2 + 6*p - 3. Let v be k(4). Let s(t) = t**3 - 5*t**2 - 2*t + 6. Determine s(v). -4 Let k(m) = -1. Let w(a) = 4*a**2 + 2*a - 3. Let j(n) = -2*k(n) + w(n). Let i(x) = -2*x - 7. Let q be i(-8). Suppose -s = 3*p, -3*p + 2*s + 0 = -q. What is j(p)? 5 Let s(o) be the first derivative of 2*o**3/3 + 3*o**2 + 2*o + 9. Determine s(-4). 10 Let j(l) = l**2 + 5*l. Suppose 0 = 3*n + 2*n - 30. Let r be (-18)/(-2)*n/(-9). What is j(r)? 6 Let m(q) = -2*q**2 + q**2 - 2*q + q**2 + 7*q**3 - 1 - 2*q**2. Let u = -4 - -3. What is m(u)? -8 Suppose -5*f - 4 = -14. Suppose 2*n - 2 = -0*u - 2*u, f*u + 5*n = 14. Let j(o) be the third derivative of o**5/60 + o**4/24 + o**3/6 + o**2. Calculate j(u). 7 Let n(h) be the first derivative of -h**3/3 - 3*h**2/2 - 5*h + 4. Determine n(-4). -9 Suppose -3*c + 7*c - 36 = -4*d, 4*d = -3*c + 28. Let x(l) = c*l - l - 3*l - 3 + 0*l + l**2. Give x(-5). 2 Suppose 48 = -4*a + 4. Let o(n) = n**2 + 12*n + 11. What is o(a)? 0 Let f = 2 - 3. Let l = f + -5. Let i = l - -3. Let p(z) = -2*z. Give p(i). 6 Let d(z) be the second derivative of -z**3/3 - 2*z**2 - 16*z. Calculate d(-4). 4 Let n(f) be the second derivative of f**4/6 + f**3/6 + f**2 + 8*f. Calculate n(-3). 17 Let l(a) = -5*a + 2. Let d = 1 + -1. Let r = -35 + 38. Let q = d + r. What is l(q)? -13 Let n(y) = y**3 - 6*y**2 + 3*y - 3. Let x(m) = m**3 - m**2 + 4*m - 7. Let g be x(2). What is n(g)? -13 Let o(k) = -k**3 + k**2 - k + 10. Let b = 64 + -64. Calculate o(b). 10 Let u(f) be the third derivative of -3*f**4/8 - f**3/6 - 10*f**2. Determine u(2). -19 Suppose -2*j - j - 9 = 0, -j = 4*i + 23. Let v(g) = -g**3 - 175*g**2 - 2*g + 3 + 1 - 1 + 170*g**2. What is v(i)? 13 Let j(b) = b**2 - b + 2. Suppose 5*s = 11*s - 18. What is j(s)? 8 Let s(f) = -f**3 + 3*f**3 - 9*f - f**3 + 10*f. Give s(1). 2 Let f(b) = -25*b**2 + 2*b - 1. Let x be f(1). Let l = -25 - x. Let z(d) be the second derivative of d**4/12 - d**2/2 + d. Give z(l). 0 Let m(o) = -o. Let l be m(5). Let t = l + 5. Suppose 2*x + t*i = -2*i, 9 = -2*x + i. Let z(h) = -h - 4. Give z(x). -1 Let z(s) = -s**3 - 6*s**2 - 2*s - 7. Suppose 1 = h, -3*o = 3*h + 5 + 1. Let t be 2 - (4 + o - 0). Suppose -7 = k - t. Determine z(k). 5 Let b be 128/60 - (-4)/(-30). Let n = b - 3. Let u(h) = 6*h**3 + 2*h**2 + 2*h + 1. Determine u(n). -5 Let i(o) be the first derivative of -o**7/840 - o**6/90 - o**4/6 + o**3/3 - 3. Let j(u) be the third derivative of i(u). Let b = -8 + 4. Determine j(b). -4 Suppose -3*v = 3*k + 7 - 28, 3*k - v - 1 = 0. Let u(l) = l**3 - 3*l**2 + 3*l - 2. Let r be u(k). Let g(t) = -t**2 - t + 7. What is g(r)? 7 Let i be -3 - (2 + -1) - -2. Let r(q) = -4*q**2 - q + 2. Calculate r(i). -12 Let o = -13 - -12. Let k(d) = -5*d**3 + d + 1. What is k(o)? 5 Let o(d) = 7*d**2 - 1. Let t be o(1). Let i = -5 + t. Let a(l) = -6*l**2 + 5*l - 1. Let b(q) = 12*q**2 - 9*q + 2. Let k(c) = 5*a(c) + 3*b(c). What is k(i)? 5 Let t(g) = 4*g + g**2 - 5*g + g**3 + 224 - 220. What is t(-3)? -11 Let p(s) = -s + 6. Let n(x) = x - 6. Let h(c) = -4*n(c) - 3*p(c). Let u be h(7). Let f(a) = -a + 3*a + 0*a - 5*a**3 + 2*a**2 + 1. Give f(u). 6 Let y(z) = -z**2 + 415 - 411 - 4*z + 0*z. Calculate y(3). -17 Let r = -3427/120 + 143/5. Let m(l) be the third derivative of -2*l**2 + 1/60*l**5 + 0*l + 0 - 1/120*l**6 - 1/3*l**3 - r*l**4. Give m(0). -2 Let b(k) = -7*k**2 - 5*k + 3. Let u(q) = 3*q**2 + 3*q - 1. Let l be 4 + 0 + 2/(-1). Let f(x) = l*b(x) + 5*u(x). Calculate f(-4). -3 Suppose -5*g + 28 = 133. Let i = g - -20. Let a(x) = -5*x**2 - 2*x. Let h(b) = -b**2 - b + 1. Let m(s) = -a(s) + h(s). Give m(i). 4 Let n be 0 + (-16)/(-6) - 72/108. Let z(x) be the third derivative of 0*x + 0 - 2*x**n - 1/24*x**4 - 1/60*x**5 - 1/6*x**3. Calculate z(-2). -3 Let b(w) = -w**2 + 2*w - 2. Let j(k) be the second derivative of -k**5/20 - 7*k**4/12 + k**3/6 + 9*k**2/2 - 3*k. Let f be j(-7). Determine b(f). -2 Suppose -8 = -15*z + 11*z. Let w(j) = -3*j + 2. Give w(z). -4 Suppose -17 = -5*q + 3. Suppose 3*t - 3*d - 12 = -6*d, -t - 4 = 5*d. Let p(w) = -q + t - w - 1 - 7. Determine p(-5). -1 Let g = -14 + 17. Let q(a) = -2*a**2 + 2*a - 1. Calculate q(g). -13 Let d(k) be the second derivative of -k**3/2 - k**2/2 - 60*k. Give d(-1). 2 Suppose 0 = -4*k + 4, 2*k + 8 = -0*a - 2*a. Let b(t) be the third derivative of -t**4/24 - t**3/3 + 9*t**2. Give b(a). 3 Let b = -11 - -19. Let n(c) = -11*c + 18. Let o(f) = -4*f + 6. Let k(h) = b*o(h) - 3*n(h). Determine k(5). -1 Let l(u) = 2*u + 1. Suppose 17*w = 10*w + 21. What is l(w)? 7 Let o(a) = -6*a + 12. Let v be o(2). Let b(d) be the
{ "pile_set_name": "DM Mathematics" }
10*f - 24. Let y be z(k). Suppose 2*h - h + 27 = y. Is -27 < h? False Let d = 0.3 - 0.4. Let h be ((-7)/4)/((-5015)/4720). Which is bigger: d or h? h Let a = -1893 + 1513. Is a bigger than -761/2? True Let p = -8340253/18202 - -8706/19. Which is greater: 0.1 or p? 0.1 Let z(i) = -35*i**2 + 397*i - 133. Let s be z(11). Let m be ((-21)/(-6))/(22/4). Which is bigger: s or m? m Let l(s) = -149*s**3 - 18*s**2 - 18*s - 1. Let q be l(-1). Which is smaller: q or 1630/11? q Let v = -24418/7 - -3488. Are v and -15/268 unequal? True Let o(p) = 240*p - 241*p + 5 + 1 - 4. Let h be o(4). Let i be (2 - (-131 - h))/(1 + 0). Which is smaller: 130 or i? 130 Let h(q) = -4*q**2 - 17*q - 14. Let n be h(-6). Let i = -52 - n. Suppose 2*z = y + 31, y = i*z + 11 - 32. Is -42 at most y? True Let x = -3207/4 + 1631/2. Let f = -3.53 + 3.63. Which is bigger: f or x? x Suppose 3*t - 15 = b - 2, -4*t = 5*b + 160. Is -16 < b? False Let g = -120 + 34. Let a = 4938 + -4852.1. Let m = g + a. Are m and -14/11 equal? False Let d = 26 + 26. Let o = 0.09563 - -0.90437. Is d smaller than o? False Suppose s = -4*q - 648, -286*s + 168 = -q - 287*s. Do q and -1/2 have different values? True Let z be (-2)/4 - (-16)/((-2016)/52913). Is -420 greater than or equal to z? True Let b be (-5)/(-2)*(14824784/(-1058915) + 14)*2. Which is greater: -1 or b? b Suppose 4*f - 3*j = -215 + 735, 0 = -4*j - 16. Let i = f - 76. Which is smaller: i or 52? i Let c = 85 - 89. Let b be (127/c + 0)*52/(-1911). Let g = b - 1/147. Which is smaller: g or 1? g Let p = 17 + 18. Let l = p - 61. Let s = -2.043 - -0.043. Which is smaller: s or l? l Let x = -2393 - -2410. Which is smaller: x or 172/11? 172/11 Let v be ((-18)/15)/((-11)/(-2365)). Let p = 247 + v. Let u = -1 + 3. Is u >= p? True Suppose -4*x = 4*g + 228, -216 = 4*g + 2*x - x. Let t = g - -183. Which is smaller: t or 0.1? 0.1 Let a = 2637 + -2539. Are a and 108 equal? False Suppose -2*o - 2*f - 24 = 0, 2 = 2*o - 5*f + 5. Let a = 6/2413 + -45859/4826. Which is bigger: o or a? o Let j be ((-1194)/4)/(72/(-32)). Suppose -34*k + 21*k - 1729 = 0. Let v = j + k. Which is bigger: 50 or v? 50 Let r = -3232.3 + 2967. Let z = r + 265. Is -1 greater than or equal to z? False Let x be -6 + (14 - 12)*(-153 - -2). Are x and -305 equal? False Let s(h) = 38 + 5*h + 42 - h**3 - 109 - 6*h**2 + 39. Let f be s(-7). Is 25 less than f? False Let p be 0 + ((-3)/8 - (-1998)/592). Suppose 5*i + 2 = 3*q - 25, -3*q = 5*i + 3. Is q at most p? False Let f = -1333 - -1346. Is f > -68? True Let v(j) = j**3 - 2*j**2 - 2*j + 2. Let b be v(2). Let d be 0 + 4 + 0/(-1). Suppose 2*w = p + 3, -6*p + 13 = -p + d*w. Which is smaller: p or b? b Let u = -3307 + 1465. Let d = u + 46056/25. Let c = -2 - -2. Is c less than or equal to d? True Let t be (-5 - 1/(-1) - -5)/(-625). Let z = -140 + 141. Which is bigger: z or t? z Let l = 37.7 + -23.4. Let a = -15.3 + l. Which is bigger: -0.16 or a? -0.16 Let a = -2788 - -3440. Which is bigger: a or -2? a Suppose 48201 = 95*t + 319996. Is t != -2860? True Suppose 3*c = -h - 221, -h + 12 - 17 = 0. Is c not equal to -72? False Suppose 2*a = -10, w + a - 63 = 261. Let m = w + -226. Let f = 722/7 - m. Is f smaller than 0? False Let r = 377 - 423. Let g = -94 - -51. Let c = g - r. Which is bigger: -3/8 or c? c Suppose -2192*o + 2176*o = -720. Let u = 93 + -48. Is u != o? False Let a = 28307 + -28307.091. Is 13.8 equal to a? False Let n = 22882 + -22881. Which is smaller: -14508 or n? -14508 Let k be 0/(-6 + -7 + 15). Which is smaller: -3/8 or k? -3/8 Let m = -107/412 - -1/103. Let j be (-888)/3672 - (-2 - (-57)/27). Let v = -116/425 - j. Which is bigger: m or v? v Suppose -4*z = 484 - 68. Let b = z + 103. Is 4/101 equal to b? False Let w = 177130/29 - 6108. Which is greater: -19 or w? w Let j be 9/((-216)/(-1005)) - -8. Let c = j + -9959/200. Let b = 1.5 + -0.5. Which is greater: b or c? b Let r = 805 - 710. Suppose 5*p = -22*f + 25*f - 73, -5*f + r = 5*p. Suppose -8 = -w + 13. Is w greater than f? False Suppose -12*o + 17*o + 555 = 0. Let u be 2/(-12)*(-296)/o. Which is smaller: u or 0? u Let j(z) be the second derivative of -z**4/12 + 5*z**3/3 + 9*z**2 + 14*z. Let l be j(10). Suppose -15*y + l*y + 9 = 0. Is -2/9 greater than or equal to y? True Let g(w) = 2*w**3 + 47*w**2 - 17*w - 14. Let b be g(-23). Is 908 < b? False Let b = -5268 - -4739. Which is smaller: b or -2647/5? -2647/5 Let g = -15.149 - -15. Let w = g - 0.051. Which is smaller: -0.05 or w? w Let o be (-2)/(-33)*3 + ((-8106)/(-66) - 0). Which is smaller: o or 119? 119 Let d be (-60)/18*(1 - 4). Let x(n) = n - 7. Let u be x(d). Let r be (u - 5)*(-2 + 0). Are r and 4 unequal? False Let f be -732*(226/(-72) + (-5)/(-20)). Let m = f - 2063. Which is bigger: 52 or m? 52 Let k be 3*(-12)/(-9)*1. Let w = 442 + -249. Suppose 197*m = w*m - 12. Which is greater: m or k? k Suppose 4*q + 2*u - 1 - 1 = 0, 7 = 2*q - u. Let a(b) = -13*b**2 + 2*b + 2. Let z be a(q). Let h = -46 - z. Does h = 1/29? False Let v = 1532 + -1533. Does v = -2/3831? False Suppose -2*i - 8 + 24 = 0. Suppose i = w + 7*w. Which is greater: w or -8/31? w Suppose -2*x = -5*d - 76, 4*x - 7*d + 3*d = 140. Let f be x/82 - (-2)/(-4). Are f and 0 nonequal? True Let c be 2/6 + (-196460)/588588. Let b = 9076/352261 + c. Is b <= 0? False Let t = 635.73 + -636. Is 47 at most as big as t? False Suppose -1170 = 2*a - 4*j - 5998, 7272 = 3*a - j. Is a != 0? True Let m = -18.44 - 21.2. Let x = m + 43.3. Let b = x - 3.8. Are b and 0.2 nonequal? True Let y(k) = k**3 + 24*k**2 + 78*k - 39. Let t be y(-19). Which is greater: t or 292? 292 Let p = -41188 + 41189. Which is smaller: 21363 or p? p Let s be ((-120)/605)/((-46)/(-69)). Is 1 not equal to s? True Let f = -479 - -481. Suppose 5*w - 7 = -f*z, -2*w - 9*z = -4*z - 7. Let q be 1 - (1018/338 - 2). Which is greater: q or w? w Suppose -i = 4*y + 5 + 29, 2*y = -4*i - 10. Let z = y + 12. Is -22 <= z? True Let o = -3120187/335 - -9314. Let s = o + -787/13065. Which is greater: s or 1? 1 Let g(x) = x**3 - 7*x - 10. Let h be g(-2). Let c be (0 - (-2)/145)/(h/20). Is 0.1 less than or equal to c? False Suppose 122*g = -9*g + 5764. Is g at most as big as 4? False Suppose o - 4*b + 8*b + 19 = 0, o + 4 = -b. Let w(k) = -98*k + 43. Let h be w(o). Which is smaller: h or -1? h Let r(k) = -8*k - 193. Let f be r(-24). Let n be ((-42)/(-2925))/(24/170). Let i = 3/65 - n. Is f <= i? True Let j be ((3/(-9))/(5/552))/((-58)/145). Suppose 3*o + 90 = z - 0*z, -3*z = -3*o - 270. Which is greater: j or z? j Let z = -1 - 0. Suppose 60*v + 417 - 297 = 0. Is v < z? True Suppose 2*o = r + 19 - 24, 4*o - 10 = -2*r. Suppose -r*k = -24*k - 1235. Is -64 <= k? False Let h = -50 - -13. Let i = h + 43. Suppose -z + i = -4*z + k, 3*z + 3*k + 18 = 0. Is 3 <= z? False Let b = 21328 - 21367.57. Which is greater: 2/17 or b? 2/17 Let o = 22 + -136. Let i = o - -112.99. Let b = i + 0.71. Which is bigger: 2 or b? 2 Let u(l) = -l**2 - 6*l - 1. Let r be u(-6). Let y be (r + 2 + 5)*4/(-2). Let q be (1 + 6/y)/((-2)/364). Is -90 smaller than q? False Let i be ((413/21)/((-22)/33))/(1/(-6)). Which is greater: 168 or i? i Let m = 5 + 7. Let s be -1*((-69)/(-2) + 1/2). Let r = m + s. Are -23 and r equal? True Let g be ((-100)/(-250))/((-2)/(-200)). Let m be (1 - 0) + g/(-60). Are m and 37/8 nonequal? True Let r(i) = -1444*i - 2. Let v be r(-2). Let a be (-1886)/v*9/(-6). Let n = a + -32/37. Is n greater than 0? True Let r = 3 - 2. Let j = 1.3 - r. Let l = -349 + 356. Are l and j nonequal? True Let u(a) = 19*a**2 - 21*a + 3. Let x be u(-3). Let s = x - 6637/28. Are s and 0 nonequal? True Let s = -18860 + 19477. Suppose -1042 = -4*a + 1430. Is a equal to s? False Let x be (-24 + 4)*(16/20)/(-2). Let o(g) = g + x*g - 3*g + 1 - g. Let z be o(0). Is z > 10/23? True Let l = 0.916 - 18.816. Which is greater: l or 2? 2 Let z be (6 + 33)*2/(-4). Suppose m + 0*m = 4. Suppose -m*x = -5*l + 90, -5*x - 3*l - 96 = -2. Which is bigger: x or z? z Let f be (2 + 2)*((-18)/(-8) - 4). Let n be (-1 - f) + (-60 - -53). Which is greater: n or -15/19? -15/19 Suppose -6*j + 125 = -37. Let h be (30/24)/(3/(-72)). Let o = h + j. Is -1 > o? True Suppose -4*o = -5*o + 3. Let d(w) = -w**2 - 4*w + 133. Let l be d(-13). Suppose -3*f + 7 = 3*q + l, 0 = 3*f + q + o. Is -10/13 greater
{ "pile_set_name": "DM Mathematics" }
d by 1165. 64 Calculate the remainder when 1014 is divided by 50. 14 What is the remainder when 12063 is divided by 246? 9 Calculate the remainder when 3670 is divided by 2202. 1468 What is the remainder when 57570 is divided by 19190? 0 Calculate the remainder when 26537 is divided by 248. 1 Calculate the remainder when 370901 is divided by 1520. 21 Calculate the remainder when 751 is divided by 729. 22 What is the remainder when 10945 is divided by 26? 25 What is the remainder when 13881 is divided by 3453? 69 Calculate the remainder when 8285 is divided by 2747. 44 What is the remainder when 3361 is divided by 835? 21 What is the remainder when 6355 is divided by 118? 101 Calculate the remainder when 1818167 is divided by 132. 131 Calculate the remainder when 89239 is divided by 93. 52 What is the remainder when 31232 is divided by 57? 53 What is the remainder when 90194 is divided by 40? 34 Calculate the remainder when 47183 is divided by 664. 39 What is the remainder when 16365 is divided by 910? 895 What is the remainder when 98649 is divided by 1134? 1125 Calculate the remainder when 12384 is divided by 98. 36 Calculate the remainder when 31298 is divided by 25. 23 What is the remainder when 8829 is divided by 121? 117 Calculate the remainder when 392 is divided by 16. 8 Calculate the remainder when 139688 is divided by 46553. 29 Calculate the remainder when 13161 is divided by 365. 21 What is the remainder when 35432 is divided by 7072? 72 Calculate the remainder when 17697 is divided by 45. 12 What is the remainder when 952 is divided by 426? 100 Calculate the remainder when 385 is divided by 185. 15 Calculate the remainder when 32701 is divided by 197. 196 Calculate the remainder when 4022 is divided by 58. 20 Calculate the remainder when 7179 is divided by 7. 4 What is the remainder when 2719 is divided by 643? 147 What is the remainder when 1576849 is divided by 18? 13 Calculate the remainder when 9979 is divided by 97. 85 Calculate the remainder when 50970 is divided by 16982. 24 What is the remainder when 729 is divided by 134? 59 Calculate the remainder when 16714 is divided by 940. 734 Calculate the remainder when 87745 is divided by 117. 112 What is the remainder when 1978 is divided by 35? 18 Calculate the remainder when 8671 is divided by 433. 11 Calculate the remainder when 30467 is divided by 5054. 143 Calculate the remainder when 744 is divided by 360. 24 What is the remainder when 7365 is divided by 210? 15 Calculate the remainder when 6629 is divided by 147. 14 Calculate the remainder when 28097 is divided by 2975. 1322 What is the remainder when 579 is divided by 399? 180 Calculate the remainder when 364050 is divided by 91010. 10 Calculate the remainder when 10487 is divided by 76. 75 What is the remainder when 147858 is divided by 732? 726 Calculate the remainder when 29288 is divided by 458. 434 What is the remainder when 13656 is divided by 718? 14 What is the remainder when 274480 is divided by 18? 16 What is the remainder when 28724 is divided by 22? 14 What is the remainder when 3281 is divided by 2714? 567 Calculate the remainder when 203172 is divided by 175. 172 What is the remainder when 8088 is divided by 897? 15 Calculate the remainder when 1664265 is divided by 118. 111 What is the remainder when 54797 is divided by 106? 101 Calculate the remainder when 23494 is divided by 23395. 99 What is the remainder when 70537 is divided by 5878? 1 What is the remainder when 388649 is divided by 292? 289 What is the remainder when 739 is divided by 259? 221 Calculate the remainder when 2520 is divided by 283. 256 What is the remainder when 16581 is divided by 5188? 1017 Calculate the remainder when 670 is divided by 226. 218 What is the remainder when 1732 is divided by 841? 50 What is the remainder when 7512 is divided by 179? 173 What is the remainder when 20273 is divided by 60? 53 What is the remainder when 22288 is divided by 1311? 1 Calculate the remainder when 3115 is divided by 240. 235 What is the remainder when 21412 is divided by 39? 1 What is the remainder when 9840 is divided by 985? 975 What is the remainder when 15755 is divided by 2240? 75 Calculate the remainder when 1261364 is divided by 17. 15 What is the remainder when 2898762 is divided by 9? 6 Calculate the remainder when 90157 is divided by 784. 781 Calculate the remainder when 11160 is divided by 85. 25 What is the remainder when 390956 is divided by 97734? 20 Calculate the remainder when 8945 is divided by 6802. 2143 What is the remainder when 3549 is divided by 35? 14 What is the remainder when 259621 is divided by 117? 115 What is the remainder when 12424 is divided by 27? 4 What is the remainder when 1074801 is divided by 1129? 1122 What is the remainder when 6916 is divided by 2298? 22 Calculate the remainder when 478 is divided by 379. 99 What is the remainder when 15776 is divided by 39? 20 Calculate the remainder when 14995 is divided by 81. 10 What is the remainder when 2440 is divided by 263? 73 Calculate the remainder when 13515 is divided by 45. 15 Calculate the remainder when 382 is divided by 122. 16 What is the remainder when 26045 is divided by 6497? 57 What is the remainder when 292825 is divided by 121? 5 What is the remainder when 196505 is divided by 296? 257 Calculate the remainder when 872 is divided by 415. 42 What is the remainder when 76332 is divided by 9? 3 What is the remainder when 436292 is divided by 7654? 14 What is the remainder when 2273 is divided by 282? 17 Calculate the remainder when 22733 is divided by 31. 10 Calculate the remainder when 3757 is divided by 297. 193 What is the remainder when 781 is divided by 728? 53 What is the remainder when 706057 is divided by 430? 427 Calculate the remainder when 49539 is divided by 16491. 66 What is the remainder when 7157 is divided by 1381? 252 Calculate the remainder when 24802 is divided by 1553. 1507 What is the remainder when 3197 is divided by 270? 227 What is the remainder when 8740 is divided by 48? 4 What is the remainder when 15083 is divided by 55? 13 Calculate the remainder when 5490675 is divided by 323. 321 What is the remainder when 31447 is divided by 6289? 2 Calculate the remainder when 22732 is divided by 127. 126 What is the remainder when 119095 is divided by 7442? 23 Calculate the remainder when 180602 is divided by 4. 2 What is the remainder when 455419 is divided by 256? 251 Calculate the remainder when 65609 is divided by 1369. 1266 What is the remainder when 322967 is divided by 88? 7 Calculate the remainder when 24434 is divided by 8127. 53 What is the remainder when 200109 is divided by 528? 525 What is the remainder when 40608 is divided by 90? 18 Calculate the remainder when 122735 is divided by 68. 63 Calculate the remainder when 3202 is divided by 483. 304 Calculate the remainder when 9288 is divided by 3086. 30 Calculate the remainder when 335 is divided by 140. 55 Calculate the remainder when 9885 is divided by 95. 5 What is the remainder when 9460 is divided by 2553? 1801 Calculate the remainder when 139933 is divided by 46644. 1 Calculate the remainder when 119366 is divided by 47. 33 What is the remainder when 88864 is divided by 10? 4 Calculate the remainder when 4528 is divided by 304. 272 What is the remainder when 1061 is divided by 28? 25 What is the remainder when 2266 is divided by 1105? 56 What is the remainder when 13601 is divided by 349? 339 Calculate the remainder when 37943 is divided by 91. 87 What is the remainder when 408896 is divided by 87? 83 Calculate the remainder when 56789 is divided by 403. 369 What is the remainder when 34019 is divided by 11328? 35 What is the remainder when 30101 is divided by 304? 5 Calculate the remainder when 79966 is divided by 102. 100 Calculate the remainder when 85656 is divided by 83. 0 Calculate the remainder when 630845 is divided by 18. 17 Calculate the remainder when 90738 is divided by 20. 18 Calculate the remainder when 503 is divided by 6. 5 What is the remainder when 92332 is divided by 169? 58 Calculate the remainder when 25432 is divided by 567. 484 What is the remainder when 13161 is divided by 4382? 15 Calculate the remainder when 2603 is divided by 147. 104 Wha
{ "pile_set_name": "DM Mathematics" }
263 Calculate the remainder when 346348 is divided by 65. 28 What is the remainder when 14135 is divided by 64? 55 Calculate the remainder when 209760764 is divided by 7. 3 Calculate the remainder when 10601800 is divided by 3533930. 10 What is the remainder when 20522 is divided by 1077? 59 Calculate the remainder when 24340007 is divided by 88832. 39 What is the remainder when 142169 is divided by 142166? 3 Calculate the remainder when 18111679 is divided by 64. 63 What is the remainder when 8572696 is divided by 174? 64 What is the remainder when 488278 is divided by 488157? 121 What is the remainder when 105204948 is divided by 50? 48 What is the remainder when 405827 is divided by 15? 2 What is the remainder when 17463098 is divided by 4464? 4394 What is the remainder when 2172020 is divided by 1847? 1795 What is the remainder when 25284586 is divided by 2809397? 13 Calculate the remainder when 331160 is divided by 33115. 10 What is the remainder when 9369 is divided by 1497? 387 Calculate the remainder when 22118349 is divided by 30. 9 What is the remainder when 51152 is divided by 200? 152 What is the remainder when 61452 is divided by 435? 117 What is the remainder when 18490 is divided by 8886? 718 What is the remainder when 132630 is divided by 1114? 64 Calculate the remainder when 1122915 is divided by 1717. 1714 What is the remainder when 10338 is divided by 4465? 1408 Calculate the remainder when 3107 is divided by 1831. 1276 What is the remainder when 54179692 is divided by 2006655? 7 Calculate the remainder when 61725 is divided by 330. 15 What is the remainder when 24962528 is divided by 2116? 76 Calculate the remainder when 54162099 is divided by 386872. 19 What is the remainder when 250794 is divided by 261? 234 Calculate the remainder when 233751212 is divided by 11. 2 What is the remainder when 59019 is divided by 125? 19 Calculate the remainder when 1519677 is divided by 1031. 1014 Calculate the remainder when 165239 is divided by 11622. 2531 Calculate the remainder when 169623 is divided by 3028. 55 What is the remainder when 26759 is divided by 584? 479 Calculate the remainder when 6649938 is divided by 188. 2 What is the remainder when 2378003 is divided by 339714? 5 Calculate the remainder when 1127468 is divided by 38. 8 What is the remainder when 117947 is divided by 39237? 236 Calculate the remainder when 3668 is divided by 97. 79 What is the remainder when 73808 is divided by 556? 416 Calculate the remainder when 2181964 is divided by 1090970. 24 Calculate the remainder when 17765669 is divided by 329. 327 Calculate the remainder when 3633095 is divided by 319. 4 Calculate the remainder when 85000 is divided by 691. 7 What is the remainder when 114166 is divided by 9484? 358 Calculate the remainder when 8127269 is divided by 5274. 35 Calculate the remainder when 202819 is divided by 1573. 1475 What is the remainder when 765291 is divided by 1534? 1359 What is the remainder when 10158336 is divided by 1475? 11 What is the remainder when 98398 is divided by 265? 83 What is the remainder when 7282083 is divided by 238? 235 What is the remainder when 3451654 is divided by 98? 94 What is the remainder when 174892 is divided by 86234? 2424 What is the remainder when 3078617 is divided by 2135? 2082 What is the remainder when 104703 is divided by 34739? 486 What is the remainder when 2045329 is divided by 681774? 7 Calculate the remainder when 7949071 is divided by 35645. 236 Calculate the remainder when 6340439 is divided by 785. 779 Calculate the remainder when 13406 is divided by 3833. 1907 Calculate the remainder when 849842 is divided by 4569. 8 What is the remainder when 68481 is divided by 22382? 1335 Calculate the remainder when 186601 is divided by 22490. 6681 What is the remainder when 5684484 is divided by 947412? 12 Calculate the remainder when 19479 is divided by 1985. 1614 Calculate the remainder when 517499 is divided by 258401. 697 What is the remainder when 9754428 is divided by 1950874? 58 Calculate the remainder when 286086936 is divided by 7946859. 12 Calculate the remainder when 593230 is divided by 3011. 63 What is the remainder when 1452302599 is divided by 700? 699 What is the remainder when 1158234 is divided by 285? 279 What is the remainder when 138050 is divided by 17242? 114 Calculate the remainder when 120726393 is divided by 30181598. 1 What is the remainder when 392456 is divided by 213? 110 Calculate the remainder when 13942002 is divided by 105. 102 What is the remainder when 2594714 is divided by 2790? 14 Calculate the remainder when 1487898 is divided by 25650. 198 What is the remainder when 3871816 is divided by 9851? 373 What is the remainder when 40635 is divided by 5741? 448 Calculate the remainder when 876546 is divided by 1125. 171 What is the remainder when 29640 is divided by 617? 24 Calculate the remainder when 930941 is divided by 84597. 374 What is the remainder when 4404092 is divided by 438? 2 Calculate the remainder when 2187867 is divided by 6795. 6672 What is the remainder when 11053783 is divided by 2763442? 15 Calculate the remainder when 635700 is divided by 5342. 2 Calculate the remainder when 13640 is divided by 712. 112 What is the remainder when 1507621 is divided by 5197? 491 Calculate the remainder when 2097507 is divided by 2491. 85 What is the remainder when 891503 is divided by 918? 125 What is the remainder when 2722982 is divided by 181531? 17 Calculate the remainder when 33025 is divided by 109. 107 Calculate the remainder when 1933848 is divided by 814. 598 What is the remainder when 46573 is divided by 6425? 1598 What is the remainder when 112501 is divided by 28075? 201 Calculate the remainder when 20936566 is divided by 28. 14 What is the remainder when 3144149 is divided by 161? 141 Calculate the remainder when 89210 is divided by 1144. 1122 What is the remainder when 15675922 is divided by 90? 82 Calculate the remainder when 24420 is divided by 11389. 1642 What is the remainder when 299722 is divided by 1233? 103 What is the remainder when 153875 is divided by 1447? 493 What is the remainder when 874071 is divided by 214? 95 Calculate the remainder when 9015533 is divided by 2519. 32 What is the remainder when 5572302 is divided by 9845? 32 Calculate the remainder when 49298667 is divided by 67256. 19 Calculate the remainder when 1718081 is divided by 6317. 6174 Calculate the remainder when 24490844 is divided by 463. 459 Calculate the remainder when 2561742 is divided by 81. 36 Calculate the remainder when 48441926 is divided by 309. 305 What is the remainder when 2987597 is divided by 1077? 1076 What is the remainder when 456755 is divided by 174? 5 Calculate the remainder when 21695 is divided by 3125. 2945 Calculate the remainder when 34328 is divided by 5891. 4873 What is the remainder when 807775 is divided by 1181? 1152 What is the remainder when 5261429 is divided by 182? 173 What is the remainder when 142953754 is divided by 38? 34 What is the remainder when 2501163 is divided by 1784? 1779 What is the remainder when 26126097 is divided by 52? 49 Calculate the remainder when 1375999 is divided by 458354. 937 Calculate the remainder when 558613 is divided by 19258. 131 What is the remainder when 1630355 is divided by 99? 23 What is the remainder when 1918498 is divided by 145? 3 Calculate the remainder when 4211389 is divided by 1052825. 89 Calculate the remainder when 20019507 is divided by 134359. 16 What is the remainder when 315286 is divided by 44? 26 Calculate the remainder when 330363 is divided by 838. 191 What is the remainder when 642 is divided by 143? 70 What is the remainder when 10850376 is divided by 47381? 127 What is the remainder when 923991 is divided by 519? 171 Calculate the remainder when 6213834 is divided by 2178. 0 Calculate the remainder when 2196453 is divided by 128. 101 Calculate the remainder when 2831021 is divided by 17. 11 What is the remainder when 1310999 is divided by 30? 29 What is the remainder when 43307 is divided by 8262? 1997 Calculate the remainder when 220092 is divided by 2752. 2684 What is the remainder when 4594231 is divided by 3711? 13 Calculate the remainder when 2215779 is divided by 38.
{ "pile_set_name": "DM Mathematics" }
, -637, -837? -1033 What comes next: -6, 0, 10, 24, 42, 64, 90? 120 What is next in 13, 73, 181, 337, 541? 793 What is next in 275, 547, 819, 1091? 1363 What comes next: -46, -28, 26, 134, 314, 584? 962 What is the next term in -9, 2, 23, 60, 119? 206 What is next in -22, -79, -182, -337, -550, -827? -1174 What is next in -86, -96, -122, -170, -246, -356, -506, -702? -950 What comes next: 17, 6, 7, 26, 69? 142 What comes next: 60, 150, 252, 372, 516, 690, 900, 1152? 1452 What comes next: 15, 47, 95, 159, 239? 335 What is next in 121, 450, 999, 1768, 2757, 3966, 5395? 7044 What is next in -745, -1490, -2235, -2980, -3725, -4470? -5215 What is the next term in 7, 19, 39, 67, 103? 147 What is next in -6270, -6271, -6272, -6273? -6274 What is the next term in -583, -581, -579, -577, -575, -573? -571 What comes next: 38, 64, 80, 80, 58, 8, -76? -200 What is the next term in 572, 712, 838, 944, 1024, 1072? 1082 What is next in 5, 19, 39, 65, 97, 135, 179? 229 What is the next term in 273, 270, 267? 264 What is the next term in 21, 23, 25, 27? 29 What comes next: -16, -17, -18, -19? -20 What is the next term in 15, 53, 115, 201, 311, 445, 603? 785 What is next in -4, -3, -46, -169, -408? -799 What comes next: -982, -971, -948, -907, -842, -747, -616? -443 What is the next term in -3185, -3199, -3213, -3227? -3241 What is the next term in 6, 17, 32, 51? 74 What is the next term in 15, 4, -13, -30, -41? -40 What is the next term in 10, 44, 116, 238, 422, 680? 1024 What is the next term in -5362, -5361, -5360, -5359, -5358, -5357? -5356 What is next in 309, 310, 311, 312, 313? 314 What comes next: 0, 12, 38, 84, 156, 260? 402 What comes next: 30, 26, -12, -102, -262, -510? -864 What is the next term in 16, 13, 10? 7 What comes next: 20, 82, 186, 332, 520, 750, 1022? 1336 What comes next: 445, 444, 443, 442? 441 What is next in -44, -55, -78, -119, -184, -279, -410? -583 What is next in 47, 75, 105, 137, 171, 207? 245 What comes next: -237, -861, -1901, -3357, -5229? -7517 What comes next: -1199, -4793, -10789, -19193, -30011, -43249, -58913? -77009 What comes next: 13, 35, 77, 151, 269, 443, 685, 1007? 1421 What comes next: -76, -86, -92, -94, -92, -86, -76? -62 What comes next: -7, -14, -31, -64, -119? -202 What is the next term in 1921, 3841, 5759, 7675, 9589, 11501, 13411? 15319 What is next in -19, 3, 37, 89, 165, 271, 413? 597 What is next in 71, 93, 113, 131? 147 What is the next term in -46, -96, -152, -214? -282 What is the next term in 158, 159, 160? 161 What is the next term in -16, -45, -96, -169, -264, -381, -520? -681 What comes next: 1436, 2875, 4316, 5759? 7204 What is the next term in -605, -1213, -1823, -2435? -3049 What is next in 22, 72, 126, 184? 246 What is the next term in 86, 134, 196, 278, 386? 526 What is the next term in 68, 75, 84, 95, 108, 123? 140 What comes next: 1454, 1453, 1452? 1451 What is the next term in -300, -516, -732, -948? -1164 What is next in 1, 9, 23, 43, 69? 101 What is next in -92, -181, -270, -359? -448 What comes next: 40, 38, 34, 28, 20, 10, -2? -16 What is next in -273, -552, -833, -1116? -1401 What comes next: 517, 1030, 1541, 2050, 2557, 3062? 3565 What comes next: 20, 42, 102, 218, 408, 690, 1082? 1602 What is next in -11, -57, -179, -413, -795, -1361, -2147? -3189 What is next in -26, -66, -134, -230? -354 What is next in -31, -80, -149, -238, -347, -476? -625 What comes next: 713, 1423, 2133, 2843? 3553 What is the next term in -25, -51, -97, -169, -273? -415 What comes next: -294, -297, -302, -309, -318? -329 What is the next term in 12, -44, -168, -384, -716, -1188, -1824? -2648 What is next in 13, 19, 21, 19, 13, 3, -11? -29 What is next in -118, -253, -406, -583, -790, -1033? -1318 What comes next: 117, 224, 345, 486, 653, 852, 1089, 1370? 1701 What is next in 8, 6, -2, -16? -36 What is next in -267, -1035, -2317, -4119, -6447, -9307, -12705? -16647 What is the next term in 31, 58, 131, 274, 511, 866, 1363? 2026 What is next in -594, -597, -600? -603 What comes next: -651, -650, -649? -648 What is next in 625, 1248, 1871, 2494? 3117 What comes next: 2094, 2092, 2090, 2088? 2086 What is the next term in -40, -88, -136, -184? -232 What comes next: -3, 11, 33, 63? 101 What comes next: 10, 13, 12, 7, -2, -15? -32 What comes next: -30, -40, -56, -78? -106 What comes next: 537, 537, 535, 531, 525? 517 What comes next: 108, 95, 76, 51, 20? -17 What comes next: -6, -21, -36, -51, -66? -81 What is the next term in 1, -19, -67, -155, -295? -499 What is next in -386, -392, -402, -416, -434? -456 What is next in -49, -54, -67, -88, -117, -154? -199 What comes next: -90, -93, -96, -99, -102, -105? -108 What comes next: 43, 78, 125, 190, 279? 398 What comes next: -209, -816, -1827, -3242, -5061, -7284? -9911 What is the next term in -4, 8, 20, 32, 44? 56 What comes next: 30, 13, -10, -33, -50, -55, -42, -5? 62 What comes next: -117, -172, -227, -282? -337 What is the next term in 39, 47, 61, 81, 107, 139, 177? 221 What is the next term in 1053, 2104, 3157, 4212, 5269, 6328? 7389 What is next in -16, 5, 40, 89, 152? 229 What comes next: -22, -32, -56, -100, -170, -272, -412? -596 What is the next term in 136, 527, 1172, 2071? 3224 What is next in -24, -17, -10, -3, 4? 11 What comes next: -1256, -2515, -3774? -5033 What is next in -5, -3, -1, 1, 3, 5? 7 What is the next term in 113, 111, 109, 107, 105, 103? 101 What is next in -870, -875, -892, -927, -986, -1075? -1200 What is next in 95, 191, 287, 383? 479 What comes next: -6186, -6185, -6184? -6183 What is the next term in 104, 245, 386, 527? 668 What is next in 14, 25, 42, 71, 118, 189, 290? 427 What is the next term in -95, -179, -253, -311, -347, -355? -329 What is next in 41, 82, 151, 248, 373, 526? 707 What comes next: -7569, -30287, -68151, -121161, -189317, -272619? -371067 What is next in -5, -10, -23, -44, -73, -110? -155 What comes next: 347, 348, 349, 350, 351? 352 What comes next: -1266, -2534, -3792, -5034, -6254, -7446, -8604, -9722? -10794 What is the next term in 16, 11, 6? 1 What comes next: -137, -132, -125, -116, -105? -92 What is next in 116, 221, 326, 431? 536 What is the next term in -5, 4, 15, 28? 43 What is the next term in -8, -21, -24, -11, 24, 87, 184? 321 What is next in -183, -175, -167, -159, -151? -143 What is the next term in -142, -142, -136, -118, -82? -22 What comes next: 131, 204, 277? 350 What is next in -1048, -1058, -1090, -1156, -1268, -1438? -1678 What is the next term in 142, 117, 92? 67 What is the next term in -55, -91, -127, -163, -199, -235? -271 What is next in -201, -180, -169, -174, -201, -256, -345? -474 What is next in 9952, 9955, 9970, 10003, 10060, 10147, 10270, 10435? 10648 What is the next term in 387, 772, 1157, 1542, 1927? 2312 What comes next: -326, -642, -950, -1250? -1542 What is the next term in -1, -8, -11, -4, 19, 64, 137? 244 What is the next term in -45, -70, -85, -84, -61, -10? 75 What is next in -55, -60, -71, -88, -111? -140 What is next in 179, 375, 585, 809, 1047, 1299? 1565 What comes next: 4580, 4581, 4582? 4583 What is the next term in -124, -196, -220, -196, -124? -4 What is next in 8, -8, -46, -118, -236? -412 What is the next term in -1426, -1429, -1434, -1441, -1450? -1461 What comes next: -56, -62, -68, -74, -80, -86? -92 What comes next: 20, 43, 84, 161, 292, 495, 788, 1189? 1716 What comes next: 1, 0, -1, -2, -3? -4 What is the next term in 545, 543, 539, 533, 525? 515 What comes next: -5366, -10734, -16102, -21470? -26838 What is the next term in -14, -39, -64? -89 What comes next: -120, -106, -82, -48? -4 What is the next term in -435, -440, -443, -444? -443 What is next in -217, -443, -693, -979, -1313, -1707? -2173 What is next in 16, 33, 46, 55, 60? 61 What is the next term in 36, 85, 150, 237, 352, 501, 690, 925? 1212 What is the next term in 6, -4, -44, -132, -286? -524 What is next in 22, 11, -14, -53, -106, -173? -254 What is next in 166, 170, 176, 184, 194, 206, 220? 236 What comes next: -197, -207, -215, -215, -201? -167 What is the next term in 14, 107, 354, 833, 1622, 2799? 4442 What is next in 15, 5, -17, -57, -121, -215? -345 What comes next: 278, 566, 854, 1142? 1430 What comes next: 5, 19, 51, 107, 193, 315, 479? 691 What is next in 11, 56, 175, 404, 779? 133
{ "pile_set_name": "DM Mathematics" }
Let m(k) = -k**3 + 5*k**2 - 4. Let j be m(5). Let y be j/(-4) - 1*5. Which is the nearest to d? (a) y (b) -5 (c) -3 c Let c = 4.5 + 0.5. Let p = -5.99 - 0.01. Let x = 7 + p. What is the closest to 0 in c, -2, x? x Suppose -2*t + 6 = -0*t. Suppose -4*f - 4*z = z - 13, 5*f + t*z = 0. What is the closest to -2/19 in 0.5, f, 3? 0.5 Let c = -5 + 6. Let j(o) = o**3 - 9*o**2 + 3*o - 11. Let a be j(9). Suppose 2*n - 6*n - a = 0. What is the nearest to c in -0.3, 3, n? -0.3 Let l = 0 + -0.2. Let i be 10*(21/(-6))/(-7). Which is the closest to l? (a) i (b) 2/5 (c) -1/3 c Let v = -0.2 + 0.7. Let d = 0.024 - 0.524. Which is the closest to 1? (a) 2 (b) d (c) v c Let p = -12.8 + 14.8. What is the closest to -2/3 in -1, p, 0.5? -1 Let o = -1.97 + 2. Let n = o + -0.43. Let z = 0.2 + -0.3. Which is the nearest to z? (a) n (b) 0.4 (c) -2/11 c Let w = -3.798 + -0.202. Which is the closest to -1? (a) w (b) -9 (c) -1 c Let i = 110 + -106. Let p = 0.5 - 1. Which is the closest to 0? (a) 1/3 (b) p (c) i a Let d = 2 - -2. Let s = 117 + -111.9. Let q = -5 + s. What is the closest to q in -4/7, d, 1? -4/7 Let d = -13.3 + 14. Let i = d - 0.8. Which is the nearest to i? (a) 0.05 (b) 1/9 (c) -3/4 a Suppose -z - z = -2. Suppose -3*m = 4*m. Which is the closest to -1? (a) -1 (b) m (c) z a Let g = 1208/3 - 403. Let n be (-2)/9 + 0/(-1). What is the nearest to g in 1, n, -4? n Let w = -7 + 4. Let p = 0.06 - 0.06. Let f = 0.4 - p. What is the nearest to 1 in f, -2/9, w? f Let l = -0.07 - 0.15. Let p = l - 4.78. Let i = -1 - -2. Which is the closest to 1? (a) i (b) -1/7 (c) p a Suppose 4*v - 5 = 7. Let p be -3 + 4 - v/(-6). What is the closest to 0 in p, 0.1, 0.3? 0.1 Let a be (-13)/3 + 2 - -2. Suppose 0 = -0*b + b - 14. Suppose 4*d = -f + 10, 4*f - b = -4*d + 2. What is the nearest to 0.1 in a, d, -1? a Let v(q) = q + 6. Let l be v(-5). Let z = -2/201 - 589/1407. Which is the closest to 1? (a) l (b) 0 (c) z a Let i(j) = 11*j - 80. Let f be i(14). Which is the nearest to f? (a) 2/15 (b) -3/8 (c) 2/3 c Let h = 22 + -17. What is the nearest to 0.2 in -3, h, -1? -1 Let y = 0.05 + 3.95. Let p = 1 + -0.9. Let u = -1.1 + p. What is the nearest to -1 in -4, u, y? u Let y = 0.96 - 0.76. Let o(w) = w**3 + w**2 - w. Let k be o(-2). Which is the closest to 1/4? (a) 0 (b) k (c) y c Let i = 11.2 - 11. Let q be 6/28*(-4)/(-3). What is the closest to q in -2/5, i, 0.1? i Let p = 0.03 - -0.06. Let x = 0.01 + p. Which is the closest to x? (a) 3 (b) -2 (c) -3 b Suppose 3*x + 2*s = -3*s - 13, -2*x + 3*s = -4. Let a = 2.4 + -0.4. Let p = a + -1.9. What is the closest to p in -2, -2/3, x? -2/3 Let h be (1 - 2)/((-1)/(-5)). Let v = 12 + -6. Let r = -2 + v. What is the nearest to 0.1 in r, h, -3? -3 Let c = 0.13 - 0.53. What is the closest to -1 in -3, -1/9, c? c Let q = 2.4 + 0.4. Let a = 3 - q. What is the nearest to a in -0.1, 0.2, -2/7? 0.2 Let i = 0.01 - 0.11. Let k = 4.7 - -1.5. Let l = k + -1.2. Which is the nearest to i? (a) -5 (b) l (c) -1 c Let z = 3 - 8. Which is the nearest to 2/3? (a) 5 (b) z (c) 4/5 c Let p = -0.28 - -12.28. Let n = p - 11.8. What is the closest to n in 1, 0.3, 3? 0.3 Let d be (-10)/(-15) + (-60)/63. Suppose 2*x - g = 9, -2*x + 5*g + 19 = 2*g. Suppose v + 1 = x*v. What is the nearest to v in d, -4, 1? 1 Suppose 0*p - 38 = 2*p. Let b = 37/2 + p. Let w = 0.09 - 0.09. What is the closest to w in b, -3, -5? b Let l = 0.22 + 2.78. Let q = 0.5 - 1. Which is the closest to 1? (a) q (b) l (c) 0.1 c Let b = -3/35 + -2/35. What is the nearest to -3 in 0.3, b, 5/3? b Let i(l) = l**2 + 3*l + 1. Let q be i(-1). Let j be 36/(-16)*4/6. Which is the nearest to q? (a) 4 (b) j (c) -3 b Let y = -5/23 - -125/46. Which is the nearest to 0.1? (a) 2 (b) -0.1 (c) y b Let b be (-1)/4 - (-105)/(-28). What is the closest to -1 in 0.2, -0.3, b? -0.3 Let s = -1 + 0.9. Let l = 0.02 - -0.08. Let z = l + -5.1. Which is the closest to -1? (a) z (b) -1/2 (c) s b Let u = -19.8 + 36. Let f = 16 - u. Let d = 2 + -2.1. Which is the closest to d? (a) -1/7 (b) f (c) 2 a Let x = -2.06 - -0.06. Let z = -7 - -10. Let v be (z/33)/(1/2). What is the closest to 0.1 in x, 0.3, v? v Let n = 160 + -159. Let y = -47/6 - -19/3. Which is the nearest to n? (a) y (b) -2 (c) -4 a Let q = 6.9 + -5.9. Which is the closest to -1? (a) q (b) -0.4 (c) -2 b Let v be 2 + (3 - 7)/(-2). What is the nearest to -0.2 in v, -1, 3? -1 Suppose n - 4*i + 3*i - 3 = 0, 5*i = n - 11. Let t be (-6)/9 - (n + -1). Which is the closest to -1? (a) t (b) 2/9 (c) 3/5 a Let y = -0.17 - -0.27. Which is the closest to y? (a) -2 (b) -2/15 (c) 0.1 c Let r = 0.05 + -0.45. Let x(a) = -a**3 - 15*a**2 - 34*a + 20. Let j be x(-12). What is the nearest to 1 in r, 1/11, j? 1/11 Let v = 2 + 1. Let t = 19/2 - 10. Let w = -0.4 - -0.7. Which is the closest to -1/2? (a) t (b) w (c) v a Suppose 2 = -5*l - 3. Suppose 3*n - 1 = 11. Suppose 0 = 3*d - 5*t + 3 + 7, -n = 2*d - 2*t. What is the nearest to 0.1 in d, 1/6, l? 1/6 Suppose -i = -4*h - 1, -5*h - 16 = -4*h + 5*i. Which is the nearest to 1? (a) 2 (b) 4 (c) h a Let k = 0.9 + 0.7. Let h = -2.1 + k. Let u = 0.09 - -3.91. What is the nearest to -1 in h, -3, u? h Let w = 0.3 - 0.2. Let j(i) = -2*i**2 - i - 1. Let v be j(-1). Let l be v/3 - (-4)/12. Which is the nearest to w? (a) -4 (b) l (c) -1 b Let j = 0.1 + 1.9. Let r = -4 + j. Which is the closest to -2? (a) r (b) 0.3 (c) -1 a Let l = 91 - 94. Let f be -1 + (0 - 14/(-10)). What is the nearest to f in 0.2, 0.4, l? 0.4 Let w = -140 - -1262/9. Let p = -123/460 - -2/115. Which is the nearest to p? (a) 0.1 (b) w (c) 5 a Let l = -0.4 - 1.6. What is the nearest to 4/3 in 0.1, l, 0.2? 0.2 Let x = -0.33 + 0.23. Which is the nearest to 0.1? (a) -0.3 (b) x (c) -0.2 b Let r = -2.92 + 3. Let y = r - 0.58. Let v = -0.05 + -2.95. Which is the closest to 1? (a) v (b) y (c) -0.4 c Let h(a) = a**3 + 7*a**2 + 6*a - 4. Suppose m = -2*g - g - 22, m = 3*g + 14. Let o be h(g). What is the nearest to 0.1 in 5, o, -0.3? -0.3 Let y = 41 + -40.3. What is the nearest to -0.1 in y, 2, 1? y Let n be (4/25)/(8/(-20)). Let h = -401/42 - -59/6. Which is the nearest to -2? (a) h (b) 1/4 (c) n c Let d be 3*5*(-2)/(-120). Which is the closest to -0.1? (a) d (b) -2 (c) 1 a Let f = 0.06 + 2.94. Let d = 2.95 + 0.05. Let c be -11 + 8 + 6/4. What is the closest to f in d, c, -5? d Suppose 0 = 4*y - 12*y. Which is the closest to -1? (a) 5/3 (b) -0.5 (c) y b Let i = -4.11 - -0.11. Which is the nearest to 2? (a) 4 (b) i (c) -0.1 a Let f = 40 - 35. What is the closest to 0 in -2/9, -11, f? -2/9 Let s = 2/303 + 1507/1212. Let j = 1 - 0. Which is the closest to j? (a) s (b) -4 (c) -0.3 a Let o = -0.3 - -0.4. Let y = -1 + 0.8. Let i = o + y. What is the closest to i in -1/4, 3, -0.3? -1/4 Let l = -2.009 - -0.009. Which is the closest to 2? (a) 5 (b) l (c) 4/7 c Let m = 0 + 1. Let w = -7 - -7.8. Let h = w - -0.2. Which is the nearest to h? (a) 3 (b) m (c) -0.2 b Let r = 3.64 - 0.14. Let l = 9 - 12. Let i = r + l. What is the closest to 1 in -1, -1/4, i? i Let v = 0.1 - -0.3. What is the nearest to 1 in -0.3, v, -2/7? v Let y = -12/11 + 35/22. What is the nearest to y in 2, 0.4, -3? 0.4 Let w = 0.5 + -0.3. Let g = w - -0.2. Which is the closest to -2/3? (a) 2/7 (b) g (c) 1/2 a Let y = -0.1 - -0.3. Let x = 151 - 147. Which is the closest to -2? (a) x (b) -0.1 (c) y b Let d = -0.27 + 0.09. Let y = 0.58 + d. Which is the closest to -1/6? (a) y (b) 4 (c) 0.5 a Let m = -13 - -12. What is the nearest to 0 in -4/3, -0.3, m? -0.3 Let n = 0.4 + 0. Let y = 0.4 - n. Let r = y - 2. What is the nearest to 0 in 1/8, r, -3/7? 1/8 Let z(k) = -3*k + 9. Let t be z(12). Let l be ((-36)/t)/(2/(-6)). Which is the nearest to 2? (a) -3 (b) l (c) 1 c Let z = 7 - 6.9. Let u = -0.1 + z. Let g = 0.2 - -0.2. What is the closest to 1 in -0.2, u, g? g Let q(s) = s**2 + 3*s - 10. Let h be q(-5). What is the closest to 1/4 in -1, h, 2? h Let d be 1 + 1 + -1*4. Let n be d/(-2) - 3/2. Suppose 6 = -36*m + 38*m. Which is the nearest to n? (a) m (b) 2/7 (c) 1/6 c Let p = -0.3 - -0.2. Let a be (-3)/18*(-4)/3. What is the nearest to p in 3/5, a, 0.5? a Let m = 15 + -12. Let u = 0 - 0. Let o = 3/11 + -1/44. Which is the cl
{ "pile_set_name": "DM Mathematics" }
0, 0*r + 5*r = m + d. Let v = 15 + r. Does 4 divide v? False Let c(a) = -2*a**2 - 2*a - 3. Let p be c(-3). Suppose 5*b + 33 = 2*y, -8*y + 3*y + b = -94. Let d = y + p. Is d a multiple of 4? True Does 15 divide 1390/(15/((-225)/(-10)))? True Suppose -2*t + 236 = -3*o, -3*t + 88 = -3*o - 269. Suppose -t + 13 = -4*i. Is 7 a factor of i? False Let y = -37 - -44. Does 6 divide (y/14)/(1/52)? False Let l be (-12)/4 - (-5 + -1). Suppose -k = 2*k - 3*s - 177, 0 = -l*k + 2*s + 174. Is 14 a factor of k? True Let x(l) = l**2 + 10*l + 7. Let a be x(-10). Suppose j + 6 = -4*v + 13, 0 = -2*v + 3*j + a. Suppose 2*t + v*g = 78, -8 = -5*g + 3*g. Is t a multiple of 13? False Let w(k) = -k**3 - 12*k**2 + 3. Let x be w(-12). Suppose -3*t + x = 0, 5*o - 2*t = 2*o + 466. Is o a multiple of 23? False Let a = 158 + 46. Does 17 divide a? True Let r be 165 + 3/(12/16). Suppose 259 = 4*m - r. Is 40 a factor of (-14 + m)*(-2)/(-3)? False Let f = 137 + 73. Let i = -149 + f. Does 33 divide i? False Let y(u) = u**3 + u**2 - 9*u + 2. Suppose 3*b + 2*c - 5 = 0, 5*b + 5*c - 1 = 4. Is 11 a factor of y(b)? True Let i(h) = -h**2 - 13*h + 2. Let g be i(-13). Suppose 1274 - g = 4*u. Does 14 divide u? False Suppose -h + 5*c + 764 = -476, -2*h + 2*c + 2512 = 0. Does 70 divide h? True Let d be -3*3/(-27)*-27. Is 39 a factor of 12/d*213/(-2)? False Let w(d) = -d**2 + 13*d - 13. Suppose 3*h - 13 = -1. Suppose 11 = 2*o + 3*a - 2, -1 = o + h*a. Does 9 divide w(o)? True Let b = 78 + 14. Let d be 2*4*(-13)/2. Let q = d + b. Is 11 a factor of q? False Is 27 a factor of 3397 + (-6 - (3 + -20 + 6))? True Let y(n) = -n**3 - 13*n**2 - 7*n - 29. Let i be y(-13). Suppose 0 = -56*z + i*z - 54. Is 9 a factor of z? True Let w = 347 - 235. Is 16 a factor of w? True Let v(w) = -2*w + 3*w - 2*w - 8 + 1. Let q be v(0). Is 1*(-8 - -2)*q a multiple of 14? True Suppose -2*w - 5*s = -1747, -14*w - 5*s - 4315 = -19*w. Does 11 divide w? False Is ((1225/15)/(-7))/(2/(-156)) a multiple of 65? True Suppose 9*z = 27*z - 1134. Is 11 a factor of z? False Suppose x - 4*b + 1338 = 0, 3*x - 2*b + 2883 = -1161. Is 11 a factor of (27/(-5) + 1)/(45/x)? True Let c(w) = -w**2 - 15*w + 1. Let o be c(-11). Let k = o - 39. Is k a multiple of 2? True Suppose 5*j + 10 = 5*o, -3*o + 5*j = -4 - 0. Suppose -o*w - 10 = -19. Let y(s) = 2*s**2 - s - 1. Is 14 a factor of y(w)? True Let d(r) = -2*r + 13. Let j be d(5). Suppose 4*w + j*x = -75, 0 = 2*w + x + 3*x + 50. Does 2 divide (1*3)/((-9)/w)? False Let u(h) = -3*h + 31. Let l be u(0). Let o = l - -35. Is 11 a factor of o? True Let q = 69 + -27. Suppose 4*y + q = 6*y. Let t = -3 + y. Is 11 a factor of t? False Suppose 4*f - 110 = 134. Let a = f + 299. Suppose 0 = y - 6*y + a. Does 24 divide y? True Suppose 4*n - 3334 - 7419 = -3*u, 0 = -4*n + 7*u + 10723. Is n a multiple of 9? False Let k = 991 + -60. Is k a multiple of 7? True Is (-2 + 1)/(-8*12/164160) a multiple of 6? True Let q = -95 - -179. Is 28 a factor of q? True Suppose -16 = -4*w, 2*v + 291 = v - 2*w. Let i = v - -136. Let p = i + 232. Does 15 divide p? False Let d = -8 - -23. Suppose d*q - 6 = 12*q. Suppose 0 = -2*h - 3*o - q*o + 116, o - 4 = 0. Is 16 a factor of h? True Suppose -3*n + 4*u + 1349 = -1365, -n + 2*u + 906 = 0. Is n a multiple of 82? True Let v be 2*2/(-16)*-28. Suppose 5*j = i + 9, -3*j = -6*j - i + v. Suppose m + j = 19. Is m a multiple of 17? True Suppose 2*a = 44 + 102. Suppose -37 - a = -5*o. Is (-4)/o - 11250/(-165) a multiple of 13? False Let n(m) = -m**3 + 7*m**2 + 8*m + 1. Suppose 5*t - t - 32 = 0. Let s be n(t). Is 14 a factor of 1/s + (-54)/(-2)? True Suppose -3*x + 4*x + 4*i = -13, -2*i = 4*x - 4. Suppose -309 = -0*y - x*y. Suppose -2*g + y = 5*z + 18, -g + 50 = 4*z. Is 10 a factor of g? True Let k be 4/22 - 200/(-110). Suppose k*l - 3*i - 279 = 0, 0 = -2*i + 7 - 1. Suppose -8*c + 12*c - l = 0. Does 12 divide c? True Let k be 9/6*(-402)/(-9). Let q = 295 - k. Does 13 divide q/14 + (-2)/7? False Suppose -3*p + 5*n + 40 = 13, -36 = -4*p - 4*n. Let y(t) = -t**2 + 11*t - 19. Let h be y(p). Does 10 divide 1 + h + (12 - -48)? True Suppose 2*o + 1 = -r, -o - 2*o - 3 = r. Let a = r - 13. Is 4 a factor of a/65 - 184/(-13)? False Let l be (2*(2 - 1))/((-18)/(-27)). Suppose l*j - 4*j = -k - 61, 2*k + 248 = 4*j. Is j a multiple of 21? True Suppose 5*j + 6 = 26. Suppose j*w = -c - 0*w + 45, -w = -4. Does 3 divide c? False Suppose 125*c - 130*c = -65. Is c a multiple of 7? False Suppose 6*g = 7*g - 2. Suppose -g*j + 163 = 43. Is 12 a factor of j? True Suppose 3*g - 3*u = -7*u - 12, 0 = g - 2*u + 4. Let y(p) = -p**2 - 5*p + 1. Let n be y(g). Suppose -m + n = -44. Does 10 divide m? False Does 24 divide (-9)/27*591/(-2)*10? False Let f(s) = -s**3 + 17*s**2 - 18*s + 50. Is f(16) even? True Let k(q) be the third derivative of 2/3*q**4 + 0*q - 1/60*q**5 + 0 - q**2 - 5/3*q**3. Is 22 a factor of k(11)? False Let h(t) be the second derivative of 11*t**4/6 + 5*t**3/6 + 2*t**2 + 33*t. Does 11 divide h(-3)? True Let y(z) = 20*z**2 - 11*z - 4. Is y(5) a multiple of 49? True Suppose 0 = q + 2*q. Suppose 4*o - 2*n - 34 = q, 27 = -4*o - 5*n + 82. Does 7 divide o? False Let z = 31 + -26. Let v be (-2 - -1)*(-3 + 3). Let c = z - v. Does 5 divide c? True Let p = 5 + 2. Let x be (-112)/(-5)*(p + -2). Let h = x - 76. Does 12 divide h? True Let u be (3/6)/(-4 - (-690)/172). Suppose 52 = o + u. Is o a multiple of 4? False Suppose 0 = -2*x + 5*x + 4*o - 196, -3*o - 108 = -2*x. Suppose 0 = 8*i - 6*i - x. Is 10 a factor of i? True Let w be (-1)/4 - 526/8. Let u be (-4)/10 - w/15. Suppose u*f + 0*f - 40 = 0. Does 3 divide f? False Let l be (-19 + 3)/4 + 9. Suppose l + 7 = 6*t. Suppose -t*r - 3*r = -210. Is r a multiple of 21? True Let f be 7/(273/6) - 150/(-39). Suppose 3*q - 344 = u, -4*q + 0*u + f*u = -456. Is 24 a factor of q? False Suppose -3*n + 68 + 280 = 0. Does 16 divide n? False Let m(b) = b**2 + 15*b + 225. Does 3 divide m(-32)? False Let x = -75 + 29. Let u = x - -62. Does 16 divide u? True Suppose 0 = -0*x + 2*x + 46. Let a = 4 + -44. Let y = x - a. Is 3 a factor of y? False Let y(u) = 2*u**3 - 12*u**2 + 5*u + 8. Let r be y(8). Suppose -4*p + 3*h - h = 590, -2*p + 4*h = r. Let q = p - -206. Does 20 divide q? True Let a(d) = 2*d**2 + d - 5. Let z be a(9). Let h = z + -111. Suppose -m + h = 1. Does 27 divide m? True Suppose 8 = 8*b - 24. Suppose -4*h + 86 = -s, -h - b*s = h - 34. Is h even? False Suppose 87*t - 76*t = 19833. Is 9 a factor of t? False Let l(i) = -11*i**2 - 3*i - 4. Let v be l(-2). Let b = v + 79. Does 2 divide b? False Let r = -10 - -14. Suppose 0 = r*l - 20, 2*l + 516 = 2*s + 6*l. Let q = s - 124. Does 34 divide q? False Is 114 a factor of ((-171)/(-15))/(11 + (-327)/30)? True Suppose 0 = z - 44 - 532. Suppose -2*x - 4*x = -z. Does 32 divide x? True Let o(z) = 2*z**3 + z. Let j be o(1). Let m be -3*j/(36/(-8)). Does 16 divide m/(-3) + (-402)/(-9)? False Suppose -9*t = -2949 - 4089. Is t a multiple of 17? True Let m = -6 - 9. Let u = -15 - m. Suppose u = -6*l + 5*l + 25. Is 5 a factor of l? True Let v(z) = 4*z - 9. Let s be (-1)/((-148)/(-72) + -2). Let d = -9 - s. Is 9 a factor of v(d)? True Let d = -2 + 5. Let x = 2 + d. Suppose x*t = 34 + 156. Does 19 divide t? True Suppose -6*n + 54 = -3*n. Let x = -17 - -44. Let t = x - n. Is 3 a factor of t? True Is 2 a factor of -1 - ((-36)/10)/((-56)/(-140))? True Suppose 7 - 3 = u. Suppose 3*i + s = -i + 702, -u*i + 5*s + 690 = 0. Is 25 a factor of i? True Let y be 2*(-7)/(28/24). Let q be (-39)/(-9) - (-4)/y. Suppose -3*k - 97 + 27 = -q*l, -4*k = -2*l + 40. Is l a multiple of 8? True Is -5 + 5 - 3/2*-98 a multiple of 10? False Let a(v) = 23*v**2 - 6*v - 12. Does 9 divide a(4)? False Let r(o) = -17*o - 20. Let k be r(-8). Let j = k - 34. Does 14 divide j? False Suppose 2*k - 6*k + 2*c + 2452 = 0, -2*c - 3067 = -5*k. Suppose 0 = -5*w + 5*i - k, 0 = -5*w - 0*i - 4*i - 597. Let m = -76 - w. Does 15 divide m? True Let z = 1293 - 715. Is z a multiple of 21? False Does 57 divide ((-88)/20)/((-1)/(125/5))? False Suppose w + 2*v - 117 = -0*w, -w = -4*v - 141. Suppose 0 = 2*u + 3*x - 195, -u = -3*x - x - w. Does 14 divide u? False Suppose -102 = -34*u + 68. Suppose 0*w - 2*w = 0. Suppose w*p + u*p - 65 = 0. Does 4 divide p? False Let p be (-114)/(-15) + 1 - 4/(-10). Suppose
{ "pile_set_name": "DM Mathematics" }
*i**4 + i - 8*i**j - 3*i wrt i? -72*i**2 Let f(p) be the first derivative of -11*p**6/15 + 17*p**3/6 + 3*p + 13. Let z(b) be the first derivative of f(b). Find the second derivative of z(s) wrt s. -264*s**2 Let b(z) be the second derivative of -z**6/15 + 51*z**5/10 + 64*z**4 + 418*z + 1. What is the third derivative of b(f) wrt f? -48*f + 612 Let a(k) be the second derivative of 19*k**8/28 - 38*k**4/3 + 747*k. What is the third derivative of a(j) wrt j? 4560*j**3 Let t(q) = q**3 - 30*q**2 - 23*q + 317. Let n(z) = z**3 - 25*z**2 - 22*z + 318. Let j(c) = 6*n(c) - 5*t(c). Find the first derivative of j(r) wrt r. 3*r**2 - 17 Let b(c) = 11*c**3 - 125*c**2 + 50*c - 2. Let i(h) = -9*h**3 + 123*h**2 - 49*h + 2. Let n(l) = -4*b(l) - 5*i(l). Find the second derivative of n(s) wrt s. 6*s - 230 Let x(y) = y**2 + y. Let r(n) be the first derivative of 5*n**4/2 + 8*n**3/3 + 7*n**2 - 29. Let g(w) = -r(w) + 8*x(w). Find the second derivative of g(d) wrt d. -60*d Find the second derivative of -h + 28*h**2 - 95 - 12*h + 11*h wrt h. 56 Let n = 2126 + -2124. Let g(c) be the first derivative of 0*c**4 + 7 + 0*c**n + 0*c + c**3 + 7/5*c**5. What is the third derivative of g(d) wrt d? 168*d What is the second derivative of 52*i**5 + 416*i - 11*i**5 + 249*i**5 wrt i? 5800*i**3 Let v(f) = 4*f - 14. Let d be v(4). Find the third derivative of -352*j + 352*j + 13*j**d + 22*j**6 wrt j. 2640*j**3 Let m(a) be the second derivative of 0 + 1/2*a**3 + 10*a - 5/6*a**4 + 0*a**2. Find the second derivative of m(b) wrt b. -20 Find the second derivative of 369*z**3 - 10 + 29 - 1184000*z + 1184003*z wrt z. 2214*z Suppose 1 + 13 = 4*u - 5*l, -5*l = 5*u + 5. Let f be -16*((-4)/(-8) - u). What is the second derivative of f*o**2 + 10*o**2 - 3*o - 13*o**2 wrt o? 10 Let j(m) = 7*m**2 + 2*m + 1. Let x be j(-1). Find the second derivative of 9*o + 2*o**3 - x*o - 8*o**3 + o wrt o. -36*o Suppose 3*m = 20 - 8. Suppose -m*b + 0*b = -24. What is the derivative of 1 + 4*j**2 - 2 - b*j**2 + 6*j**2 wrt j? 8*j Let f be -4*7/(-4) - -4. Find the second derivative of -f*l**5 - 28 - 2*l + 28 wrt l. -220*l**3 Let h(t) = 8 - 14*t**2 + 19*t**2 - 10. Let l(n) = 3*n**2 - 1. Let o(c) = 4*h(c) - 7*l(c). Differentiate o(s) wrt s. -2*s Let n(l) be the second derivative of l**3 + 0 - 1/10*l**6 + 0*l**2 + 0*l**5 + 0*l**4 + 6*l. What is the second derivative of n(t) wrt t? -36*t**2 Let n(u) be the second derivative of -41*u**9/15120 - 4*u**5/15 + 9*u**4/2 - 26*u - 1. Let o(r) be the third derivative of n(r). Differentiate o(q) wrt q. -164*q**3 Let n(p) be the third derivative of 31*p**5/15 + 92*p**3/3 - 8*p**2 + 3*p. Differentiate n(u) wrt u. 248*u Let d(n) = 45*n**3 - 35*n**2 - 45*n - 190. Let i(g) = 5*g**3 - 4*g**2 - 5*g - 21. Let h(k) = 4*d(k) - 35*i(k). What is the first derivative of h(o) wrt o? 15*o**2 - 5 Let v(n) be the third derivative of -2/3*n**4 + 0 + 0*n + 0*n**3 + 3/35*n**7 + 0*n**5 - 15*n**2 + 0*n**6. What is the second derivative of v(w) wrt w? 216*w**2 Let k(p) = -p - 9. Let c(r) = -r**3 + 7*r**2 - r - 6. Let w be c(7). Let i be k(w). Find the second derivative of j**4 - 6*j**i - j - 3*j wrt j. -60*j**2 Let m = 13 - -2. Differentiate 55 - 21 - 20 + m*f**2 with respect to f. 30*f Let c be (90/(-25) + 4)/(2/60). What is the third derivative of 3*w**2 + 8*w**2 + c*w**4 + 6*w**4 wrt w? 432*w Let h(l) = 4*l**2 - 43*l - 399. Let m(z) = -2*z**2 + 21*z + 194. Let r(b) = 3*h(b) + 5*m(b). What is the derivative of r(a) wrt a? 4*a - 24 Let h = 19 + -37/2. Let o(t) be the first derivative of -h*t**2 + 0*t**3 + 0*t + 3/4*t**4 + 2. Find the second derivative of o(g) wrt g. 18*g Let o(y) be the first derivative of -3*y**5/5 - y**3/3 - 225*y + 209. Differentiate o(j) with respect to j. -12*j**3 - 2*j Let d(j) = 795*j**2 - 4*j + 642. Let q(t) = -3178*t**2 + 18*t - 2564. Let m(x) = -9*d(x) - 2*q(x). What is the derivative of m(z) wrt z? -1598*z Let r(l) be the second derivative of 13*l**7/2 - l**5/20 + 31*l**4/12 - 2*l**2 - 528*l. Find the third derivative of r(x) wrt x. 16380*x**2 - 6 Let u(w) = -5*w**3 - 5*w**2 + 2*w + 95. Let n(p) = 7*p**3 + 6*p**2 - 3*p - 95. Let j(x) = 2*n(x) + 3*u(x). What is the first derivative of j(g) wrt g? -3*g**2 - 6*g Let t(f) = f**3 + f**2 + f. Let x = -43 - -42. Let r(s) = 25*s**3 - 2*s**2 - 2*s + 26. Let g(b) = x*r(b) - 2*t(b). Differentiate g(y) with respect to y. -81*y**2 Suppose -5*b - 5 = -5*p, 0*b + 3*b - 2*p = 0. What is the derivative of -32*x**2 - 1 + 59*x**b - 9*x**4 - 27*x**2 wrt x? -36*x**3 Let l(x) = -53*x**3 - 28*x**2. Let o(i) = -13*i**3 - 7*i**2. Let q be 8/20 + (-32)/(-20). Let s(h) = q*l(h) - 9*o(h). Find the third derivative of s(y) wrt y. 66 Let y(k) = -16*k**2 - 6*k - 208. Let p(t) = -47*t**2 - 17*t - 625. Let u(q) = 2*p(q) - 7*y(q). Find the first derivative of u(h) wrt h. 36*h + 8 Let n be 22/5 - (-64)/(-160). Let c = 5 - 3. What is the second derivative of 2 - 9*i - 6 - 8*i**c + n wrt i? -16 Let o(d) = -d + 10. Let s be o(8). Find the second derivative of 9*a**4 - 5*a - 5*a**4 - 4*a - s*a**4 wrt a. 24*a**2 What is the second derivative of -51*l**2 + 100*l**2 + 97*l + 107*l**2 - 9*l**2 wrt l? 294 Let r(s) be the second derivative of -28*s**7/3 + 41*s**3/6 + 3*s - 60. Find the second derivative of r(m) wrt m. -7840*m**3 Suppose -5*s - 6 = h, h + 3*s - 2 = 2*s. Differentiate 3*r**4 + h*r**4 + 3 - 9 wrt r. 28*r**3 Let f = -27 + 23. Let a = -15 - -6. Let q(h) = 11*h**2 - 1. Let s(m) = -5*m**2. Let c(l) = a*s(l) + f*q(l). Find the first derivative of c(o) wrt o. 2*o Let r(s) = s**2 - 6*s - 8. Let y be r(7). Let m(z) = 5*z**2 - z - 1. Let k be m(y). What is the second derivative of -8*g - 31 + 31 + 3*g**k wrt g? 60*g**3 Let i(n) = 2*n**2 - 3*n. Let k be i(2). Find the second derivative of -4*o**2 - 18*o + 0*o**2 + o**k + 17*o**2 wrt o. 28 Let n = 590 + -587. Let y(m) be the first derivative of 0*m**2 - 8 + 8*m + 10/3*m**n. Differentiate y(o) with respect to o. 20*o Let r(q) be the first derivative of -9*q**4/4 + q**3 + 110*q - 117. What is the derivative of r(w) wrt w? -27*w**2 + 6*w What is the third derivative of -3*x**2 + 14*x - 184*x**4 + 64*x**4 + 5*x**2 - 240*x wrt x? -2880*x Let v(g) be the second derivative of g**6/30 + 23*g**5/10 + 53*g**4/4 - 32*g + 1. Find the third derivative of v(i) wrt i. 24*i + 276 Find the third derivative of 37*p**2 - 140910*p - 3 + 140910*p + 917*p**3 wrt p. 5502 Let b(f) be the second derivative of 537*f**5/20 - f**3/6 - 377*f**2/2 + 674*f. Differentiate b(p) with respect to p. 1611*p**2 - 1 Let t(c) be the third derivative of c**8/240 - c**5/30 + c**3/6 + c**2. Let v(g) be the first derivative of t(g). Find the second derivative of v(l) wrt l. 84*l**2 Let z(o) be the second derivative of -7*o**6/5 + 64*o**2 + 20*o. What is the derivative of z(p) wrt p? -168*p**3 Let m(r) be the second derivative of r**6/6 + 19*r**5/60 - 15*r**2/2 - 10*r. Let h(k) be the first derivative of m(k). Find the third derivative of h(w) wrt w. 120 What is the third derivative of 3*f - 9*f**5 - 2*f**6 + 5*f**2 + 30*f + 2*f**5 + 84*f**5 + 32*f wrt f? -240*f**3 + 4620*f**2 Let b(h) be the third derivative of -71*h**7/210 + h**4/24 + h**3/2 - 60*h**2. Find the first derivative of b(t) wrt t. -284*t**3 + 1 Let q be ((-2)/(-4) - 0)*42/7. Let d = 1 + 0. Differentiate 6*f + d - 3 + q wrt f. 6 Let t(h) be the first derivative of 0*h**6 + 0*h**5 + 0*h**2 + 32/7*h**7 + 0*h + 0*h**4 + 41/3*h**3 - 27. What is the third derivative of t(o) wrt o? 3840*o**3 Differentiate -317 - 33*o**2 - 16 + 4*o**2 + 3*o**2 - 2*o**3 with respect to o. -6*o**2 - 52*o Let o(r) be the third derivative of r**9/504 - r**8/112 - 59*r**5/60 + r**3/2 - 44*r**2 - 1. Find the third derivative of o(p) wrt p. 120*p**3 - 180*p**2 Let f(j) be the second derivative of 0 + 25/2*j**2 + 0*j**4 + 0*j**3 + 23*j - 9/20*j**5. What is the derivative of f(b) wrt b? -27*b**2 Differentiate 0*g**2 - g**2 - 24 + 6*g**3 + 166 - g**2 with respect to g. 18*g**2 - 4*g Find the third derivative of -2*q**3 - 159*q**2 + 3*q**5 - 25*q**6 + q**5 - 4*q**5 wrt q. -3000*q**3 - 12 Let j(b) be the first derivative of 107*b**5/5 + 103*b - 376. What is the derivative of j(o) wrt o? 428*o**3 Let c = -329/2 + 167. Let i(s) be the second derivative of 1/2*s**3 + 2*s + 0 - c*s**2. Differentiate i(p) with respect to p. 3 Find the
{ "pile_set_name": "DM Mathematics" }
- 64*z**2 - w*z + 15*z**3 - 20 + 26*z + 2 + 22*z. (z - 3)*(3*z - 2)*(5*z - 3) Suppose 33*x = -23*x - 40936. Let v = x + 734. Factor 0 + 1/3*w**4 + 2/3*w**v - 1/3*w**2 - 2/3*w. w*(w - 1)*(w + 1)*(w + 2)/3 Determine g so that -114*g**3 + 377*g + 42*g**3 + 181*g - 2279*g**4 - 254 + 2282*g**4 - 58 - 177*g**2 = 0. -4, 1, 26 Factor -21200/3*b - 10000 - 36*b**3 - 1/3*b**4 - 1104*b**2. -(b + 2)*(b + 6)*(b + 50)**2/3 Factor -154 - 96 - 39*r - 49*r**2 - 96*r + 44*r**2. -5*(r + 2)*(r + 25) Suppose 2*t + 4*y - 15 = 29, 8*t = 4*y + 76. Factor -t*v - 50*v**2 - 14/3*v**4 + 0 - 88/3*v**3. -2*v*(v + 3)**2*(7*v + 2)/3 Let j(k) be the first derivative of k**4/22 + 920*k**3/11 + 634800*k**2/11 + 194672000*k/11 + 865. Factor j(o). 2*(o + 460)**3/11 Factor 3831/4 + 957*v - 3/4*v**2. -3*(v - 1277)*(v + 1)/4 Suppose -5*f + g = 32, -2 = -4*g + 6. Let k(s) = s**2 - s + 1. Let h(a) = -7*a**2 + 3*a - 2. Let n(d) = f*k(d) - h(d). Factor n(o). (o - 1)*(o + 4) Suppose 4*p + 36 = 3*z + z, -3*z - 5 = 5*p. Factor 3*l**2 - 2*l**2 - 2*l**4 + l**3 - 96*l**z + 95*l**5 + l**4. -l**2*(l - 1)*(l + 1)**2 Suppose -3*f = -18, -2*q - 105*f + 109*f = 20. Let r(t) be the first derivative of 18 + 1/7*t**q - 2/21*t**3 + 0*t. Factor r(y). -2*y*(y - 1)/7 Let i(y) be the first derivative of y**3/5 + 39*y**2/10 + 18*y - 2361. Factor i(p). 3*(p + 3)*(p + 10)/5 Let r = 36116 + -1083479/30. Let w(o) be the first derivative of -r*o**3 + 0*o + 48 + 1/20*o**2 - 1/40*o**4 + 1/50*o**5. Suppose w(l) = 0. What is l? -1, 0, 1 Let t(x) be the first derivative of 93 + 80/3*x**3 + 7*x**4 - 4/5*x**5 - 264*x**2 - 576*x. Suppose t(y) = 0. Calculate y. -4, -1, 6 Let q = 72 + -61. Suppose 0 = -q*u - 0*u + 44. Factor 20*g**2 + g - u*g**4 + 7*g + 294*g**3 - 4*g**5 - 282*g**3. -4*g*(g - 2)*(g + 1)**3 Let l be (-56)/(-126)*((-475)/(-40) + -10). Factor -2/3*q + l - 1/6*q**2. -(q - 1)*(q + 5)/6 Let w(h) = 199*h - 4970. Let v be w(25). Let -8/7*x**3 - 4/7*x**2 - 4/7 + 8/7*x**4 - 2/7*x**v + 10/7*x = 0. Calculate x. -1, 1, 2 Let l(x) = -14*x**4 - 320*x**3 + 927*x**2 - 890*x + 336. Let a(g) = -g**4 - g**3 + 3*g + 2. Let t(m) = -26*a(m) + 2*l(m). Find f, given that t(f) = 0. -310, 1 Let b(f) be the third derivative of -f**6/120 - 4*f**3/3 + 11*f**2. Let q be b(-2). Find g, given that q*g + 2/3*g**3 + 0 - 2/3*g**2 = 0. 0, 1 Let h(f) be the first derivative of -2*f**3/33 - 53*f**2/11 - 204*f/11 - 6887. Determine x, given that h(x) = 0. -51, -2 Let l(z) be the first derivative of 4*z**5/5 + 22*z**4 - 116*z**3/3 - 276*z**2 - 2653. Determine s so that l(s) = 0. -23, -2, 0, 3 Let j(o) be the second derivative of 77*o + 0*o**2 - 2 + 1/3*o**4 - 8*o**3. Suppose j(z) = 0. What is z? 0, 12 Let b = 2850/7819 - 88/1117. Determine v so that -104/7*v + 1352/7 + b*v**2 = 0. 26 Let g = -2/67 + 286/603. Let f(n) = -368*n + 10674. Let x be f(29). Factor g*z**x + 2/9*z**5 + 2/3*z - 4/9 - 8/9*z**3 + 0*z**4. 2*(z - 1)**3*(z + 1)*(z + 2)/9 Factor -y**4 - 5*y**4 - 59724*y**3 + 14*y + 59774*y**3 - 58*y**2. -2*y*(y - 7)*(y - 1)*(3*y - 1) Let g(n) = 34*n**2 + 13*n + 77. Let i be g(-15). Suppose 12632*j**3 - 768*j + i*j**3 + 19596*j**2 - 16459*j**2 + 36055*j**2 + 32 - 1488*j = 0. What is j? -2, 2/71 Suppose -3*z - 27 = 1645*b - 1648*b, -4*z = -3*b + 22. Factor -1/5*u**z + 19/5*u - 6/5 + 2/5*u**4 - 4*u**2 + 6/5*u**3. -(u - 2)*(u - 1)**3*(u + 3)/5 Determine c so that -36864/5 + 956*c**3 - 183552/5*c - 5*c**4 - 226564/5*c**2 = 0. -2/5, 96 Suppose 10*t - 72 = -8*t. Factor -20*g + 16 - 29 + t*g**2 + 13. 4*g*(g - 5) Let y = -74723/3 + 24908. What is g in 361/3 + y*g**2 - 38/3*g = 0? 19 Let t(u) = 4*u**2 + 17*u - 45. Let n(r) = 26*r**2 - 16*r**2 - 6*r**2 - 46 + 18*r. Let d(j) = 5*n(j) - 6*t(j). Suppose d(b) = 0. Calculate b. -5, 2 Let b(l) be the third derivative of 0*l**3 + 1/100*l**6 - 2/525*l**7 - 1/840*l**8 + 3 + 0*l - 1/15*l**4 + 2/75*l**5 - 15*l**2. Let b(w) = 0. What is w? -2, 0, 1 Let y(r) = 2*r**4 + 20*r**3 - 64*r**2 - 62*r + 192. Let z(d) = -3*d**4 - 42*d**3 + 128*d**2 + 123*d - 384. Let x(m) = -5*y(m) - 2*z(m). Solve x(u) = 0. -6, -2, 2 Let r be 47 + -2 + 2 + -1 + -1. Let p(k) be the second derivative of 6*k**2 - 32/5*k**6 + 156/5*k**5 - 19*k + r*k**4 + 47/2*k**3 + 0. Solve p(y) = 0. -1/4, 4 Solve -121 - 23*q + 122 - 2*q**2 - q - 55 = 0 for q. -9, -3 Let i be (1 - (-2)/(-10))*(-92)/(-10304). Let w(x) be the second derivative of 0*x**2 + 0 + 1/14*x**4 + 9*x + 3/14*x**3 + i*x**5. Factor w(y). y*(y + 3)**2/7 Suppose 33/8*f**2 - 9/8*f - 135/4 = 0. What is f? -30/11, 3 Let h(b) be the third derivative of 25/336*b**8 + 1 + 0*b**3 + 0*b + 0*b**4 - 13*b**2 - 9/5*b**6 + 11/15*b**5 + 17/14*b**7. Factor h(a). a**2*(a + 11)*(5*a - 2)**2 Let a = 11310 + -11310. Let d(q) be the second derivative of a*q**2 - 1/6*q**3 + 0 - 1/60*q**4 - 16*q. Factor d(t). -t*(t + 5)/5 Determine t so that 2853*t**2 + 5808 - 20*t**3 - 9152*t - 1347*t**2 - 2374*t**2 = 0. -22, 3/5 Let x(t) be the first derivative of -2/5*t**5 + t**4 + 0*t + 0*t**2 - 172 + 0*t**3. Factor x(d). -2*d**3*(d - 2) Let j(c) be the first derivative of -c**6/12 - 2407*c**5/10 + 5516. Factor j(d). -d**4*(d + 2407)/2 Let z = -1710 - -1674. Let h(c) = -12*c - 429. Let f be h(z). Determine t so that -12/7 - 36/7*t**f + 12/7*t**2 + 20/7*t + 16/7*t**4 = 0. -3/4, 1 Let q(u) be the second derivative of -u**5/240 + u**3/24 + 4*u**2 + 27*u. Let s(t) be the first derivative of q(t). Determine p so that s(p) = 0. -1, 1 Suppose 16/11*u**4 - 54/11*u**3 + 8/11*u**5 - 24/11 - 112/11*u - 158/11*u**2 = 0. Calculate u. -2, -1/2, 3 Suppose 2497 - 833 = 13*h. Let a be (h/(-40))/((-20)/25). Factor 17/7*l**3 + 24/7*l**2 + 2/7 + 13/7*l + 4/7*l**a. (l + 1)**2*(l + 2)*(4*l + 1)/7 Suppose -1738 = -19*h - 199. Find y, given that 110*y**2 + 107*y**2 + h*y - 335*y**2 + 84 + 115*y**2 = 0. -1, 28 Let c(i) be the third derivative of i**5/80 - 479*i**4/16 + 229441*i**3/8 - 1781*i**2 - i. Factor c(b). 3*(b - 479)**2/4 Let v(h) = h**2 + 6*h + 4. Let u(n) = 2*n**2 + 16*n + 11. Let m(q) = 3*u(q) - 8*v(q). Let t(y) = y**2 - 36*y + 61. Let l(i) = -m(i) + t(i). Solve l(r) = 0. 2, 10 Let l(k) be the second derivative of k**7/42 + 14*k**6/15 - 8*k**5/5 - 736*k**4/3 + 8320*k**3/3 - 12800*k**2 - 1490*k. Factor l(u). (u - 4)**3*(u + 20)**2 Let y(m) be the third derivative of m**5/30 + 17*m**4/24 - 26*m**3/3 - 48*m**2. Let i be y(-11). Factor 0 - 1/2*o**3 + i*o - 1/2*o**2. -o*(o - 2)*(o + 3)/2 Suppose -44*i = 20*i - 168960. Let w be 1632/i + 4/22. Solve 0*h**4 - w*h**2 + 6/5*h + 2/5*h**5 + 4/5 - 8/5*h**3 = 0 for h. -1, 1, 2 Let m(t) be the third derivative of -t**5/30 + 91*t**4/6 + 1834*t**2. Factor m(i). -2*i*(i - 182) Let z(p) be the third derivative of -p**8/1680 - p**7/175 - 3*p**6/200 - p**5/75 + 3*p**2 - 179. Solve z(c) = 0 for c. -4, -1, 0 Let v(z) be the second derivative of -z**5/5 - z**4/3 + 16*z**3 - 72*z**2 - 876*z. Solve v(g) = 0. -6, 2, 3 Let f(k) be the first derivative of -3*k**6/10 - 18*k**5/25 + 35*k**4/4 - 16*k**3 + 22*k**2/5 + 48*k/5 + 878. Solve f(a) = 0 for a. -6, -1/3, 1, 4/3, 2 Let h be 39*(-49)/(-5733)*9. Factor 18*f - 4 - 15*f**2 + 7/2*f**h. (f - 2)**2*(7*f - 2)/2 Let l(c) be the third derivative of c**5/600 - c**4/4 + 273*c**3/20 + c**2 + 3301*c. Factor l(z). (z - 39)*(z - 21)/10 Let q(s) = -s**3. Let f(i) = -2*i**4 + 12*i**3 - 2*i**2 - 6*i + 4. Let t be (0 - 7)*(3 - (-81)/(-21)). Let l(o) = t*q(o) + f(o). Factor l(x). -2*(x - 2)*(x - 1)**2*(x + 1) Suppose 3*k - 13 = -4*z, 3*z - 5*k - 13 = 4. Factor -5 - 3*l**2 - 101*l - z + 1 + 42. -(l + 34)*(3*l - 1) Let g(r) be the second derivative of r**4/54 - 52*r**3/27 + 2015*r + 1. Factor g(a). 2*a*(a - 52)/9 Let k be (-3 - (-1)/5)/(2/(-60)). Let u = k + -81. Solve 0*w - 1/4*w**u + 0 + 1/4*w**2 = 0 for w. 0, 1 Let i(k) = -k**3 - 3*k**2 - 2*k. Let f be i(-2). Let c = 9/373568 - -933911/373568. Factor g**2 - 3/2*g**4 - c*g**3 + 0 + f*g. -g**2*(g + 2)*(3*g - 1)/2 Let g be (-18)/(16 + -10) - -63. Suppose a - g = -2*p, 0 = 2*a - 26*p + 23*p - 99. Find x, given that 3/2*x**2 - 18*x + a = 0. 6 Let f(k) be the first derivative of k**6/75 + 3*k**5/25 + 2*k**4/5 + 8*k**3/15 - 15*k + 84. Let v(n) be the first derivative of f(n). Let v(t) = 0. What is t? -2, 0 Let x(v) be the first derivative of -v**6/4 - 301*v**5/10 - 10193*v**4/8 - 40161*v**3/2 - 32670*v**2 + 71874*v + 277. Solve x(w) = 0 for
{ "pile_set_name": "DM Mathematics" }
tzttttz. Give prob of picking 1 t and 2 z. 1/7 Four letters picked without replacement from {o: 3, i: 5}. Give prob of picking 4 i. 1/14 What is prob of picking 2 q when two letters picked without replacement from {q: 5, b: 8, v: 3}? 1/12 Three letters picked without replacement from {j: 2, q: 6}. Give prob of picking 3 q. 5/14 What is prob of picking 1 a and 3 m when four letters picked without replacement from aamamamamaa? 14/165 Calculate prob of picking 2 i when two letters picked without replacement from {i: 3}. 1 Two letters picked without replacement from {m: 1, b: 1, x: 4, q: 4, j: 7}. Give prob of picking 1 j and 1 m. 7/136 Three letters picked without replacement from {m: 1, n: 1, g: 9}. What is prob of picking 1 m and 2 g? 12/55 Three letters picked without replacement from wakmakvamvkddm. What is prob of picking 1 m, 1 k, and 1 v? 9/182 What is prob of picking 1 c and 1 o when two letters picked without replacement from {e: 1, o: 1, c: 1, z: 1, k: 1, q: 2}? 1/21 Four letters picked without replacement from {p: 3, a: 2, i: 1, j: 1}. What is prob of picking 1 i, 1 a, and 2 p? 6/35 Four letters picked without replacement from {u: 5, s: 13}. Give prob of picking 4 s. 143/612 What is prob of picking 3 b when three letters picked without replacement from {r: 4, b: 6, h: 3, a: 2}? 4/91 Two letters picked without replacement from {o: 3, d: 15}. Give prob of picking 1 d and 1 o. 5/17 Calculate prob of picking 1 f and 2 k when three letters picked without replacement from sussfukususu. 0 Two letters picked without replacement from {r: 1, d: 1, h: 1, l: 5, m: 1}. Give prob of picking 1 h and 1 l. 5/36 Two letters picked without replacement from {a: 1, v: 3, g: 2, s: 1, e: 3, t: 1}. What is prob of picking 1 s and 1 a? 1/55 Calculate prob of picking 4 e when four letters picked without replacement from {r: 1, e: 14}. 11/15 Two letters picked without replacement from {b: 11, r: 4, e: 4}. What is prob of picking 1 b and 1 r? 44/171 Three letters picked without replacement from gpvtpgut. What is prob of picking 1 g, 1 t, and 1 v? 1/14 Three letters picked without replacement from {d: 7, u: 5}. Give prob of picking 3 d. 7/44 Four letters picked without replacement from kkkekoeoekokkkkeokk. What is prob of picking 1 o, 2 e, and 1 k? 22/323 What is prob of picking 2 m and 2 d when four letters picked without replacement from {d: 1, m: 1, s: 2, t: 1}? 0 Three letters picked without replacement from hzzz. What is prob of picking 3 z? 1/4 Four letters picked without replacement from {j: 7, l: 4, v: 3}. What is prob of picking 1 j and 3 v? 1/143 Two letters picked without replacement from {d: 9, i: 7, u: 3}. What is prob of picking 1 i and 1 u? 7/57 Two letters picked without replacement from jzzuyyjyjyyrzyrz. What is prob of picking 2 r? 1/120 Three letters picked without replacement from {o: 4, l: 4, a: 1, h: 2, t: 9}. What is prob of picking 1 o, 1 t, and 1 l? 12/95 Calculate prob of picking 1 h and 1 f when two letters picked without replacement from hqqwczf. 1/21 What is prob of picking 1 n and 1 b when two letters picked without replacement from hhgbhbhnhbnnnh? 12/91 Two letters picked without replacement from {y: 2, q: 3, n: 5}. What is prob of picking 1 y and 1 n? 2/9 What is prob of picking 2 g and 1 b when three letters picked without replacement from {g: 4, b: 1, w: 2, f: 8}? 6/455 Calculate prob of picking 2 n and 1 w when three letters picked without replacement from bnbwwwwbwwbbnbnwbw. 1/34 Three letters picked without replacement from squqqsussusmiumshumu. Give prob of picking 1 u, 1 q, and 1 s. 9/95 Three letters picked without replacement from {i: 5, q: 3, f: 8}. What is prob of picking 1 q and 2 f? 3/20 What is prob of picking 1 v, 2 f, and 1 c when four letters picked without replacement from vfvvnfcvsn? 2/105 Calculate prob of picking 3 r when three letters picked without replacement from {l: 12, r: 6}. 5/204 Four letters picked without replacement from {w: 2, q: 2, d: 1, u: 6}. Give prob of picking 1 w and 3 u. 4/33 Calculate prob of picking 3 g and 1 m when four letters picked without replacement from {q: 3, g: 6, m: 4}. 16/143 Three letters picked without replacement from {t: 12, f: 4, g: 4}. What is prob of picking 3 g? 1/285 Calculate prob of picking 2 q, 1 i, and 1 f when four letters picked without replacement from {f: 6, q: 3, i: 1, t: 5}. 6/455 Three letters picked without replacement from krvrvvrrvvrrrrrrr. What is prob of picking 2 r and 1 v? 55/136 Two letters picked without replacement from {t: 8, s: 1, e: 4}. What is prob of picking 1 s and 1 t? 4/39 What is prob of picking 1 h and 3 g when four letters picked without replacement from {e: 1, h: 2, g: 5, s: 1}? 10/63 Calculate prob of picking 2 i and 2 x when four letters picked without replacement from iiiiixxiiiiiiixi. 9/70 Four letters picked without replacement from {o: 1, n: 1, u: 3, i: 7, s: 1}. Give prob of picking 3 u and 1 i. 7/715 What is prob of picking 2 j when two letters picked without replacement from {j: 3, t: 8}? 3/55 Calculate prob of picking 2 u and 1 c when three letters picked without replacement from {i: 4, j: 1, q: 2, c: 4, u: 3, l: 3}. 3/170 Calculate prob of picking 2 t when two letters picked without replacement from tkkqttktkkkkk. 1/13 Three letters picked without replacement from {d: 1, w: 5, y: 1, q: 1, o: 1}. What is prob of picking 1 w, 1 q, and 1 d? 5/84 Two letters picked without replacement from {w: 6, d: 4, y: 3}. What is prob of picking 1 y and 1 w? 3/13 What is prob of picking 2 q, 1 c, and 1 k when four letters picked without replacement from {c: 1, q: 2, e: 2, i: 3, k: 2, m: 2}? 2/495 Calculate prob of picking 1 m and 2 c when three letters picked without replacement from ccppm. 1/10 Calculate prob of picking 2 q when two letters picked without replacement from cqqwwqqqccqcwccrc. 15/136 Two letters picked without replacement from thbbdej. Give prob of picking 1 e and 1 j. 1/21 What is prob of picking 2 e and 2 n when four letters picked without replacement from {n: 2, z: 3, k: 6, p: 1, j: 1, e: 2}? 1/1365 Three letters picked without replacement from zznnznzzzzzz. Give prob of picking 3 z. 21/55 What is prob of picking 2 w when two letters picked without replacement from {o: 7, w: 6}? 5/26 Calculate prob of picking 1 b and 2 a when three letters picked without replacement from {a: 2, b: 1, g: 1, x: 2, o: 2}. 1/56 What is prob of picking 2 k when two letters picked without replacement from kkmkmk? 2/5 Three letters picked without replacement from {p: 5, w: 15}. What is prob of picking 3 p? 1/114 Calculate prob of picking 2 y when two letters picked without replacement from ttttytttttytyttttttt. 3/190 Calculate prob of picking 2 c when two letters picked without replacement from mlqcmxyxymycymm. 1/105 Calculate prob of picking 1 w, 1 v, and 1 c when three letters picked without replacement from zmvwc. 1/10 Three letters picked without replacement from {o: 1, w: 2, c: 6, y: 4, n: 7}. What is prob of picking 2 w and 1 o? 1/1140 Three letters picked without replacement from ddqaddadadaddddqddzq. What is prob of picking 1 d, 1 q, and 1 a? 12/95 What is prob of picking 1 v and 1 i when two letters picked without replacement from ivui? 1/3 Calculate prob of picking 1 g, 1 n, and 1 q when three letters picked without replacement from gnnqnqgtnntnqmntngq. 32/323 What is prob of picking 3 r when three letters picked without replacement from rzrrrrrr? 5/8 What is prob of picking 3 p when three letters picked without replacement from dpdddpdppppdp? 35/286 Two letters picked without replacement from {v: 1, f: 3, h: 1, r: 2}. What is prob of picking 1 h and 1 v? 1/21 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {s: 2, f: 1, g: 1, i: 2, a: 1}. 1/21 Two letters picked without replacement from trx. What is prob of picking 1 x and 1 r? 1/3 Four letters picked without replacement from zzztzzzz. Give prob of picking 1 t and 3 z. 1/2 Four letters picked without replacement from hptpphththhothhhtth. Give prob of picking 3 t and 1 h. 15/323 Calculate prob of picking 1 k and 3 j when four letters picked without replacement from jaraukkkkukkjarjkkr. 2/969 Two letters picked without replacement from ajdjrajaaa. W
{ "pile_set_name": "DM Mathematics" }
termine k(v). -2 Let a(i) = -i**2 + 2*i + 2. Suppose -44 = -4*z - 56. What is a(z)? -13 Suppose 9 = -7*p + 51. Let v(b) = -2*b - 6. Calculate v(p). -18 Let m(n) = 2*n**3 - 2 - 6*n**2 - 3*n**3 - 5*n + 1. Calculate m(-5). -1 Let m(c) = -c + 2. Let s(b) = -b. Let o(a) = -m(a) - 3*s(a). Calculate o(-5). -22 Let n(w) = -w**3 + w**2 - 1. Let d(m) = m**2 - m - 2. Let z = -23 + 23. Let k be d(z). Determine n(k). 11 Let c(g) be the first derivative of g**3/3 + g**2 - 3*g + 10. Determine c(-4). 5 Let w(v) be the first derivative of -v**4/4 + v**2 + 3. Let c(l) be the second derivative of w(l). What is c(-1)? 6 Let m(r) = -2 + 2 - r + 4. Suppose y = -0*y + 7. Let d(k) = k - 2. Let q be d(y). What is m(q)? -1 Let k be 1 - (-5)/(10/4). Let r be (-44)/(-10) + (-6)/15. Let c(g) = g - 4 - 3 + r. Give c(k). 0 Suppose 12*r = 7 + 5. Let h(y) = -3*y**3 + 6*y**2 - 11*y + 8. Let i(g) = -g**3 + 2*g**2 - 4*g + 3. Let n(j) = 4*h(j) - 11*i(j). Give n(r). 0 Let m(s) be the first derivative of -3*s - 1/3*s**3 + 2 - 3/2*s**2. Suppose -5*q = -y + 5 - 19, 5*q - 26 = 4*y. Determine m(y). -7 Let h(k) = -k + 13. Suppose -36 + 6 = -3*u. Calculate h(u). 3 Let c(t) = -t**2 + 3*t + 7. Suppose -26 = -5*o + 4*h, -3 = -2*o + 5*h + 4. What is c(o)? -11 Let t = 37 - 40. Let r(q) = -q + 1. Calculate r(t). 4 Let f(z) = z**3 + z - z - z**2. Let a = -9 + 13. Suppose -a*v - 4*o = -2*v + 18, -2*o - 11 = -v. Give f(v). 0 Suppose 24 = -5*f - d + 2*d, -3*f - 3*d = 0. Let q(z) = z**2 + 3*z - 4. What is q(f)? 0 Let y(a) be the first derivative of -a**5/20 - a**4/6 + a**3/2 + a**2/2 - 6*a - 2. Let c(i) be the first derivative of y(i). Calculate c(-3). 1 Suppose 1 = 5*f - 3*r + 5, -3*r = 3*f - 12. Let y(n) = n**2 + 2*n - 1. Calculate y(f). 2 Let g(k) be the first derivative of -k**2/2 + 4*k - 4. Calculate g(-4). 8 Let z(f) = f**2 - f + 2. Let o = 5 - 2. Suppose 0 = -q - j + 6 - 3, -o = -3*q + 3*j. Calculate z(q). 4 Let u(l) = -l**3 - 3*l**2 - 2*l + 1. Let y(i) = -i**2 - 2*i - 3. Let q be y(-2). What is u(q)? 7 Let h(d) be the second derivative of d**6/120 - d**5/15 + 5*d**4/24 - 2*d**3/3 - 3*d**2/2 + 3*d. Let l(q) be the first derivative of h(q). What is l(3)? 2 Let c = -18 + 19. Let t(z) = -7*z + 1. Give t(c). -6 Let z(h) = h**2 + 11*h - 19. Let r be z(-12). Let w(q) = -q**3 - 7*q**2 + q + 7. Calculate w(r). 0 Let o(g) = 3*g + 2. Let j be (1 + -1)/(-1 + -2). Suppose j = 5*d - 31 + 11. Suppose -11 - 1 = d*b. Calculate o(b). -7 Let x(l) be the third derivative of -l**5/60 - l**4/12 + l**3/6 - 2*l**2. Suppose 0 = u - 4*g - 5, 3*u - 2 + 1 = 5*g. Calculate x(u). -2 Let r(v) = v - 1. Let k be r(5). Suppose 3*u - k = u. Let f(n) be the second derivative of -n**4/6 + n**3/6 + n**2/2 - n. Calculate f(u). -5 Let a(m) = 12 + m**3 - 162*m + 321*m - 159*m - m**2. Determine a(0). 12 Let y(m) = m + 7. Suppose -5*g = 4*s + 16, -3 - 6 = g - 5*s. Let a be 3 + (-7 - g/(-4)). Give y(a). 2 Let h(q) = 9*q. Let v(m) = -m**3 - 14*m**2 + m + 13. Let g be v(-14). Determine h(g). -9 Let a(v) = -5*v. Let c(f) = 3 - 1 + f**2 - 9*f - 2*f**2. Let k be c(-9). Calculate a(k). -10 Let o(f) = 3*f - 2. Let g be -2 - (0/1 + 1). Let n be (-2)/15*g*-5. Let d = 0 - n. What is o(d)? 4 Let d(g) = -3*g**2 - 3*g + 2*g**2 + 3*g + 5*g + 6. Suppose -r = l - 3, -4*l - 2*r + 36 = -6*r. Give d(l). 0 Let j(m) be the third derivative of m**6/120 - m**5/40 + m**3/2 - 3*m**2. Let d(v) be the first derivative of j(v). What is d(2)? 6 Let t = -5 + 10. Let u be (-4 + t)/((-1)/(-2)). Let d(r) = r**2 - 6*r**3 - 2*r + 3 + 3*r - u. Give d(-1). 7 Let w = -13 + 9. Let u = w + 7. Let s(h) = u*h - 4*h + 6 - 2 - h**2. Calculate s(-3). -2 Let j(f) = -f**3 + f**2 + 2*f - 1. Let n be 1/(18/42) + 2/(-6). Determine j(n). -1 Let j(x) = 9*x - 1. Let i be j(-1). Let y be 4/i*(8 + -3). Let f(w) = -2*w + 1. Give f(y). 5 Let t(f) = f**2 + 7*f - 1. Let u be t(-6). Let p(o) = -o**2 - 7*o + 2. Determine p(u). 2 Let f(k) = -k - 3. Let c(s) = -s - 3. Let g(h) = 3*c(h) - 4*f(h). Calculate g(6). 9 Let y(r) = -15 - r + 29 - 17. What is y(-7)? 4 Let a(b) be the first derivative of 3*b**2/2 - b + 3. Determine a(-3). -10 Let a(t) be the first derivative of -2*t**3/3 + 2*t - 3. Suppose -2*q = c - 8, -1 = 2*c - 4*q + 23. Calculate a(c). -6 Suppose 0 = 5*t - 0*t + 10. Let h be 3/t*4/6. Let x(k) be the second derivative of -k**5/20 + k**3/6 + k**2/2 - 4*k. Determine x(h). 1 Let p(j) = -2*j - 1. Let r(i) = i**2 - 13*i - 18. Let t be r(14). Determine p(t). 7 Let j(z) = -18*z**2 - 1. Suppose -5*l - 5 = -5*n, 3*l = 4*n + n - 7. Determine j(l). -19 Let d(c) = c**3 + 7*c**2 + 7*c + 2. Let g be d(-6). Let a = g + 6. Let r(l) = -2 + a*l + 4*l - 4*l. Give r(5). 8 Let k(d) = 2*d**3 + 5*d**2 + 5*d + 5. Let z = 6 - 15. Let h(i) = 5*i**3 + 11*i**2 + 11*i + 11. Let y(u) = z*k(u) + 4*h(u). Give y(-1). -3 Let v(y) = -5*y - 15. Let i(s) = -2*s - 5. Let x(j) = 11*i(j) - 4*v(j). Give x(5). -5 Let i = 1 - 0. Let c(b) be the third derivative of -1/15*b**5 - 1/6*b**3 + 0 - 3*b**2 + 0*b + 1/12*b**4. What is c(i)? -3 Let q(b) = -2 + 4*b - 5*b + 4. Let a = 55 - 61. What is q(a)? 8 Let n(w) = w**2 + 5*w - 6. Let k(j) = -4*j**2 - 5*j + 4. Let i be k(1). Determine n(i). -6 Let i(h) = 4*h**2 - 5*h - 3*h + 7 - 2*h**2 - 8*h**2 + h**3. Give i(7). 0 Let z(d) be the second derivative of -d**4/12 + d**3/3 + d**2/2 + 10*d. Determine z(3). -2 Let p(n) be the third derivative of n**5/60 + 7*n**4/24 - 13*n**3/6 + 5*n**2. Determine p(-9). 5 Suppose 0 = -3*p + 3*c + 12, 2*c + 8 = -3*p - 0*p. Let q(l) = -l + 6. Give q(p). 6 Let f(h) be the first derivative of h**4/4 + 2*h**3/3 - 2*h**2 - h - 2. Let q be 12*2/(-6)*-3. Suppose 0 = 3*g + g + q. Calculate f(g). 2 Suppose -z + 6 - 4 = 0. Let u(j) = -6*j**2 + j + 5*j**2 - z + 3*j. Give u(4). -2 Let r(a) be the third derivative of -a**6/120 - a**5/15 + a**4/24 + 5*a**3/6 + 4*a**2. Let q be (-18)/14 + 6/21. Let s = -5 - q. Determine r(s). 1 Let o(k) = -k**2 + k + 1. Suppose 8 + 0 = -4*h. Let t = -5 - h. Calculate o(t). -11 Let l be (0/(-1))/(-2) - -1. Let n(k) be the third derivative of -7*k**4/24 + 4*k**2. Determine n(l). -7 Let r(z) = -z. Let o(k) = -7*k - 2. Let m(h) = -o(h) + 2*r(h). Give m(-2). -8 Let f(c) = 95 + 7*c - 95. Determine f(-2). -14 Let j(c) = -2*c**3 - 3*c**2 - 2*c + 4. Let n(a) = a**3 + a**2 + a - 2. Suppose 0 = 5*w + 23 + 17. Let k = w + 11. Let s(r) = k*j(r) + 5*n(r). Determine s(-4). 6 Let n(y) = y**3 - 9*y**2 - y - 6. Let h(o) = -o**3 + 10*o**2 + 7. Let p(x) = -4*h(x) - 5*n(x). Suppose 0*t = 4*t. Suppose 3*i - 18 = -t. Give p(i). -4 Let v(k) = k**3 + k**2 + 6. Let j(c) = c**3 + 2*c**2 - c - 2. Let t be j(-2). What is v(t)? 6 Let t(p) = -p - 3. Let l be ((-6)/(-9))/((-14)/105). Determine t(l). 2 Let d(p) be the third derivative of p**5/60 + 7*p**4/24 + 5*p**3/6 - 10*p**2. What is d(-4)? -7 Let y(p) = -p - 1. Suppose 0 = 2*r + 2*r - 4*f - 8, -4*f + 4 = 0. Let s be 1 + 14/(1 - r). Calculate y(s). 5 Suppose 6*g - 1 = 5*g. Let q(j) = 2*j**2 - j. Calculate q(g). 1 Let k(d) be the third derivative of d**4/8 - 2*d**3/3 - 3*d**2. Let r be (-4 - -2) + 1 + 4. Calculate k(r). 5 Let m(x) be the third derivative of x**5/10 + x**4/24 - x**2. Give m(1). 7 Let o(b) = 8*b + 2. Let p(i) = -7*i - 2. Let k(u) = 6*o(u) + 7*p(u). Suppose -5*l - 16 = 3*m, 0*m + 2 = -5*l + 4*m. Let q = -3 - l. Determine k(q). -1 Let b(u) be the second derivative of -u**5/20 + u**4/3 + 7*u**3/6 - 7*u**2/2 - 35*u. Suppose k - 11 = 3*l - 31, 4*l + k - 15 = 0. Determine b(l). 3 Let k(g) = -g**2 - 5*g + 1. Let a be 3 - 17/6 - (-62)/(-12). Determine k(a). 1 Let j(x) = 4*x**2 + 5. Let o(c) = -c**2 - 1. Let f(w) = -j(w) - 5*o(w). Let g be f(1). Let s(u) = 6*u - 1. Give s(g). 5 Let w(s) = 164*s - 1 - 4 - 163*s. Suppose 2*a + 2 = -q - 8, -4*q = 5*a + 28. Calculate w(a). -9 Let m(q) be the second derivative of -q**3/3 + 3*q**2 + q + 4. What is m(5)? -4 Let r(b) = 2*b**2 - 7*b + 6*b + 8*b**2. Give r(-1). 11 Let t(n) be the third derivative of n**7/2520 - n**6/240 - n**5/120 + n**4/24 + 5*n**2. Let u(c) be the second derivative of t(c). Determine u(5). 9 Let i(r) = r**2 + 5*r + 3. Let v be i(-5). Let a(t) = -6 - v*t - 2*t + 4 + 7*t. What is a(-4)? -10 Suppose 2*t = 5*m + 4 + 10, 5*m = -10. Let a(c) = c**3 + 4*c + 2 + 11*c**t - 1 - 7*c**2. Calculate a(-3). -2 Let i(q) = q - 1. Let g(f) = 0*f + 2 + 2*f - 3*f. Let h
{ "pile_set_name": "DM Mathematics" }
2/5 - 0)*5. Let y(z) = -2 + c + 14*z - 17*z. Determine y(t(v)). 27*v Let m(z) be the third derivative of z**5/20 + 94*z**2. Let c(p) = 3*p**2 + 5*p. Calculate c(m(a)). 27*a**4 + 15*a**2 Let y(b) = 2*b. Suppose 2*u - 2 = 5*g - 2*u, 3*g = -u + 9. Let c(s) = -g*s**2 + 1 - 6 + 90*s - 90*s. What is y(c(d))? -4*d**2 - 10 Let r(q) = -12*q. Let o = -8 - -13. Suppose -2*c - 6 = -o*c. Let d(k) = -6*k**c + 14*k**2 - 7*k**2. What is d(r(j))? 144*j**2 Let f(b) = -5536*b**2. Let x(a) = -11*a**2. Give x(f(y)). -337120256*y**4 Let i(m) = m. Let x(z) be the third derivative of -z**7/1260 + 3*z**4/8 - 8*z**2. Let b(n) be the second derivative of x(n). Give i(b(r)). -2*r**2 Let s(o) = -o**3 - 5*o**2 - 3*o - 12. Let j be s(-5). Let l(n) = -j*n - 5*n + 10*n - n. Let w(r) = -4*r + 5*r + 13*r - r. Give l(w(u)). 13*u Let w(j) = j + 6. Let v(m) = 1. Let z(r) = 6*v(r) - w(r). Let d(s) be the second derivative of -11*s**3/6 + 2*s. Determine z(d(p)). 11*p Let u(t) be the second derivative of -71*t**4/12 + 333*t. Let n(l) = -5*l**2. Calculate u(n(v)). -1775*v**4 Let l(c) = -c. Let u(j) be the third derivative of j**5/10 + j**3/3 - 13*j**2 - 7*j. Give u(l(h)). 6*h**2 + 2 Let g(n) = 29*n - 4. Let o(i) = 2*i**2 - 14*i. Calculate g(o(u)). 58*u**2 - 406*u - 4 Let r(b) = b**2 - b + 1. Let s(a) = -a**2 + 12*a - 6. Let n be s(12). Let t(p) = p**2 - 6*p + 6. Let z(c) = n*r(c) + t(c). Let o(y) = -2*y. Give z(o(l)). -20*l**2 Let i(j) = -2*j**2 - 34*j + 12*j + 9*j + 13*j. Let a(z) = -216*z. Calculate i(a(n)). -93312*n**2 Let i(f) = 549318 + 4*f - 549318. Let w(m) = m**2 - 24. Give i(w(z)). 4*z**2 - 96 Let t(m) = -2*m**2. Let p be (2 + -1)*-3 - -17. Suppose 4*x - 2 = p. Let z(k) = -x + 5 + 12*k - 1. What is z(t(s))? -24*s**2 Suppose -2*p + 18 = -5*g, 2*g = -4*p + 8 + 4. Suppose 2*x = 4*x - 8. Let h(u) = 4*u - p*u + x*u. Let d(y) = -y**2. Calculate d(h(f)). -16*f**2 Let k(r) = 3. Let h(u) = u**2 - 2. Let p(f) = -3*h(f) - 2*k(f). Let x(v) = -317*v + 153*v + 157*v. Give p(x(m)). -147*m**2 Let t(h) = 2*h**2. Let p(z) be the first derivative of z + 0*z**2 + 1 + 1/6*z**3. Let l(u) be the first derivative of p(u). Determine l(t(s)). 2*s**2 Let g(j) = -3*j**2 + j**2 + 4*j**2. Let b(u) be the third derivative of -7*u**4/24 + u**3/3 - 3803*u**2. Determine g(b(r)). 98*r**2 - 56*r + 8 Let d(o) = -7*o. Let g(w) be the third derivative of -w**5/20 - 8*w**2 + 3*w. What is g(d(l))? -147*l**2 Let c(p) = 5*p**2. Let k(l) = -3*l**2 + 23 - 17 - 4*l - l - 11. Let d(b) = 2*b**2 + 3*b + 3. Let s(v) = 10*d(v) + 6*k(v). Give c(s(z)). 20*z**4 Let v(w) = 2*w - 22. Let h(d) = 4*d - d - 48 - d + 48. What is h(v(s))? 4*s - 44 Suppose -r + 3 = 24. Let n = r + 23. Let v(u) = -n*u**2 + u**2 - u**2. Let j(p) = -7*p**2. Calculate j(v(m)). -28*m**4 Suppose 71 - 3 = 4*b. Let p(v) = -45*v**2 + b*v**2 + 18*v**2 + 11*v**2. Let d(r) = -1. Let y(h) = -12*h + 4. Let g(m) = 4*d(m) + y(m). What is g(p(f))? -12*f**2 Let o(g) = g. Suppose -24 = -3*z - 3*a + a, -12 = -z - 2*a. Let m(f) = 3*f - 2. Let q(h) = -25*h + 17. Let t(l) = z*q(l) + 51*m(l). Determine t(o(j)). 3*j Let m(b) = 2*b. Let t(z) = -5566*z. Give m(t(q)). -11132*q Let u(z) = 35*z**2 - 55*z + 13. Let f(x) = -8*x**2 + 14*x - 3. Let b(p) = -26*f(p) - 6*u(p). Let h(k) = k**2. Calculate h(b(m)). 4*m**4 + 136*m**3 + 1156*m**2 Let v(q) = q**3 + 12*q**2 - 13*q + 10. Let g be v(-13). Let m(s) = -g*s**2 + 2*s**2 + 6*s**2. Let f(u) = 6*u. What is m(f(t))? -72*t**2 Let v(i) = 13*i. Let h = 14 + -12. Let u(n) = -n. Let b(m) = 4*m. Let y(o) = h*u(o) + b(o). Determine v(y(j)). 26*j Let w(s) = -7*s. Let l(a) be the second derivative of a**7/280 + 41*a**4/12 + a + 3. Let f(c) be the third derivative of l(c). Determine w(f(r)). -63*r**2 Let m(f) = 10*f + 6 + 7*f - 7*f - 6. Let w(l) = 17*l. Calculate w(m(n)). 170*n Let z(p) = p**2. Let h(f) = 6*f**2 + 6*f**2 - 18*f**2 + 8*f**2. Let g(w) = w**2. Let b(a) = 11*g(a) - 6*h(a). Determine b(z(v)). -v**4 Let p(m) = 9*m**2. Let k(n) be the first derivative of 0*n + 1/2*n**2 - 14. Calculate p(k(j)). 9*j**2 Let j(i) be the third derivative of 0 + 1/20*i**5 + 8*i**2 + 0*i + 0*i**4 + 0*i**3. Let c(b) = -b. Give j(c(r)). 3*r**2 Let i be 3/3*1*17. Suppose -4*n = -n - 3*o + 9, -4*n + 3*o = 7. Let z(r) = i - 17 - n*r. Let f(l) = 3*l. Calculate f(z(w)). -6*w Let h(q) = 1180*q**2 + 1170*q**2 - 2353*q**2. Let p(i) = -46*i**2. What is p(h(a))? -414*a**4 Let o(f) = -10*f. Let l(n) = 5*n**2 + 23*n**2 - 21*n**2. Give o(l(p)). -70*p**2 Let l(q) = -2*q**2. Suppose 0 = 4*f + i - 1, -2*f = 3*f + 4*i + 7. Let t(k) = -14*k + 11 - 10 - f. Determine l(t(y)). -392*y**2 Let c(r) be the first derivative of 0*r - 1/2*r**2 + 7. Let s(d) = -7*d. Determine s(c(t)). 7*t Let t(k) = k**2 + 1. Let d(p) = -p - 22. Let j be d(0). Let s(x) = 10*x**2 + 11. Let a(r) = j*t(r) + 2*s(r). Let v(f) = -3*f**2. Calculate v(a(b)). -12*b**4 Let t(d) = d + d - 3*d - 11*d + d. Let c(y) = 9*y. Let r(o) = -2*o. Let z(h) = 2*c(h) + 10*r(h). What is z(t(f))? 22*f Let y(d) = 4*d. Let g(z) = 8*z**2 - 5402. Give y(g(u)). 32*u**2 - 21608 Let y(r) = 490*r**2. Let s(n) = -4972*n**2. Determine y(s(g)). 12113184160*g**4 Let b(m) = m**2 + m + 3. Let g be b(0). Let c(r) = -14*r - r**2 - g*r + 17*r. Let a(f) = 19*f**2. Determine a(c(l)). 19*l**4 Let j(y) be the second derivative of -11*y**3/6 + y. Let b(t) be the second derivative of -t**3/3 - 41*t + 11. What is b(j(r))? 22*r Let b(x) = -2*x**2. Let t(o) be the third derivative of 2*o**5/15 - 6*o**2 - 2. Calculate b(t(l)). -128*l**4 Let d(k) = -29*k**2 + 48*k**2 - 17*k**2. Let x(i) = 111*i. Calculate x(d(r)). 222*r**2 Let s(f) be the second derivative of -f**3 - 263*f. Let x(y) = 10*y. Determine s(x(j)). -60*j Let g(x) = 9*x**2. Let u(n) = 4*n**2 - 6*n**2 + 2*n**2 + 3*n**2. Give g(u(t)). 81*t**4 Let m(l) = 4*l**2 - 3*l**2 - 7*l**2 + 5*l**2. Let i(w) be the third derivative of w**2 + 1/12*w**5 + 0 + 0*w**4 + 0*w**3 + 0*w. Determine i(m(d)). 5*d**4 Let c = -2275 - -2278. Let n(i) be the first derivative of 0*i + 19/3*i**c - 3 + 0*i**2. Let f(j) = 2*j. Give n(f(q)). 76*q**2 Let c = -16 - -22. Suppose c*z - 14 = -z. Let g(p) = -2*p - p + z*p. Let k(a) = -8*a. Determine g(k(h)). 8*h Let c(g) be the first derivative of g**2/2 - 3. Let u(b) be the third derivative of -13*b**5/60 - b**2. Calculate u(c(h)). -13*h**2 Let v(g) = 57*g**2. Let y(f) = -158*f**2. Determine v(y(u)). 1422948*u**4 Let b(x) = -21 - 6*x + 68 - 27 - 31. Let d(o) = 2*o. What is b(d(g))? -12*g - 11 Let l(r) = -r - 5. Let z be l(-8). Suppose 0*g - 387 = -z*t - g, 3*t = 4*g + 402. Let d(q) = 30*q - t + 130. Let j(h) = -h**2. Give j(d(w)). -900*w**2 Let w(n) be the second derivative of -2*n**3/3 - 2*n. Let u(a) = 41*a**2 + 48*a**2 - 58*a**2. Determine u(w(g)). 496*g**2 Let z(j) = -j**2 + 30242 - 30246 + 3*j**2. Let n(q) = q**2. Give z(n(c)). 2*c**4 - 4 Let k(q) = -352*q. Let g(b) = b**2 - 26*b. What is k(g(t))? -352*t**2 + 9152*t Let p(u) = u**2. Let s(k) = -k**3 + 10*k**2 - 17*k + 8. Let d be s(7). Let q(x) = -9*x**2 - d*x**2 - 7*x**2 - 11*x**2. Determine p(q(b)). 3969*b**4 Let n(z) be the third derivative of -z**4/12 + 28*z**3 - 2*z**2 - 90. Let v(b) = -3*b. Determine v(n(h)). 6*h - 504 Let x(o) = 2*o. Let d(f) = 15 - 75*f - 32 + 17. Determine d(x(y)). -150*y Let a(o) be the first derivative of -15 + 32 - o**2 - 10 + 36. Let h(i) be the first derivative of -4*i**3/3 + 1. What is h(a(v))? -16*v**2 Let a(t) be the first derivative of -31*t**2/2 - 111. Let s(p) = -3*p - 5. Let k(d) = 2*d + 4. Let f(w) = -5*k(w) - 4*s(w). What is f(a(v))? -62*v Let n(f) = 5*f + 2. Let z(k) = -128*k + 8. Determine z(n(m)). -640*m - 248 Let l(s) = 120*s + 114. Let g(a) = a. Calculate g(l(v)). 120*v + 114 Let s(i) = -2 - 3*i**2 + 2 - 9*i**2 + 8*i**2. Let p(g) = -g**2 - 4. Calculate p(s(x)). -16*x**4 - 4 Let g(b) = 2*b**2 - 8*b - 62. Let f(l) = -l**2 + 2*l - 1. Let c(d) = 4*f(d) + g(d). Let a(v) = v. Give a(c(h)). -2*h**2 - 66 Let q(t) be the second derivative of -13*t**4/12 + t**2 + 304*t. Let m(r) = 9*r. Give m(q(o)). -117*o**2 + 18 Let f(i) be the first derivative of -33*i**2/2 + 59. Let r(y) = -3*y**2. Give f(r(x)). 99*x**2 Let j(p) = -16*p - 12*p**2 - 27*p + 63*p - 20*p. Let z(y) = 14*y**2. Calculate z(j(k)). 2016*k**4 Let k(w) be the second derivative of -w**3/6 + 140*w. Let b(x) = 73*x - 2. Determine b(k(u)). -
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
918 -5796 divided by 46 -126 250 divided by -358 -125/179 What is -3 divided by 490822? -3/490822 Calculate 96287 divided by -73. -1319 What is -1 divided by 383469? -1/383469 25 divided by 18644 25/18644 What is -3 divided by -3937? 3/3937 Divide 1782624 by -18569. -96 Calculate -219 divided by -61. 219/61 Calculate 70238 divided by -173. -406 Divide 28985 by 2635. 11 Divide 6249 by -167. -6249/167 What is 3994 divided by -3994? -1 Divide -534325 by -55. 9715 Calculate 65391 divided by 307. 213 Calculate 844976 divided by -211244. -4 -13990 divided by -2 6995 -1 divided by -192900 1/192900 -35419 divided by -127 35419/127 6391044 divided by -6 -1065174 544407 divided by 57 9551 What is -118062 divided by -6? 19677 246 divided by -789 -82/263 What is 75652 divided by -37826? -2 Calculate 11018 divided by -3. -11018/3 1468393 divided by -1987 -739 Divide 2928855 by 585771. 5 -100 divided by -416 25/104 0 divided by 11100 0 Divide 528021 by -4513. -117 Divide 51398 by -3. -51398/3 260 divided by 3346 130/1673 Calculate -63612 divided by -57. 1116 Calculate -3 divided by -1269503. 3/1269503 Divide -849056 by -2512. 338 -4 divided by -596323 4/596323 Divide -217 by 135. -217/135 What is 30996 divided by -3444? -9 What is -2 divided by -5277? 2/5277 What is -3052 divided by 1526? -2 Calculate 2 divided by 208636. 1/104318 What is 76378 divided by 6? 38189/3 8 divided by 13545 8/13545 Divide -1660119 by 6. -553373/2 Divide -149201 by -13. 11477 Calculate -1006166 divided by -20534. 49 Divide 39762 by 3. 13254 4082910 divided by -2 -2041455 -1 divided by -24520 1/24520 353500 divided by -3500 -101 What is 0 divided by -731889? 0 What is 7 divided by 8259? 7/8259 -318804 divided by 53134 -6 What is -85 divided by 16781? -85/16781 Calculate 3 divided by -11371. -3/11371 22 divided by 32771 22/32771 Calculate 5 divided by -73470. -1/14694 Divide -914 by 38. -457/19 Calculate 18414 divided by -18414. -1 Divide 27130 by 29. 27130/29 Divide 1199 by -193. -1199/193 Divide -404392 by 8. -50549 Calculate -63064 divided by 8. -7883 Calculate 4760 divided by -17. -280 Calculate -621 divided by -1. 621 -3733970 divided by -5 746794 What is 92 divided by 10009? 92/10009 -141670 divided by -310 457 Divide 653040 by -5. -130608 What is 26 divided by -58181? -26/58181 -41895 divided by 1995 -21 What is -9798 divided by 69? -142 What is -34 divided by -8750? 17/4375 Calculate 2580896 divided by 472. 5468 Calculate 146848 divided by -26. -5648 What is -50 divided by 11078? -25/5539 What is -95822 divided by -1? 95822 -20 divided by 4107 -20/4107 -2 divided by 38965 -2/38965 Calculate -5 divided by 2629. -5/2629 Calculate -4 divided by 383032. -1/95758 What is 5 divided by -14100? -1/2820 7059276 divided by -1308 -5397 -22852 divided by 5 -22852/5 What is 141344 divided by 32? 4417 Calculate 8362 divided by -56. -4181/28 What is -2 divided by 520448? -1/260224 What is 3 divided by -187213? -3/187213 Calculate -1 divided by -62731. 1/62731 Calculate -2743 divided by 36. -2743/36 Calculate 43552 divided by 4. 10888 1 divided by 201954 1/201954 Calculate -138594 divided by 6. -23099 What is 131 divided by -80? -131/80 -1 divided by 1109231 -1/1109231 What is 1 divided by 97? 1/97 874 divided by -843 -874/843 Divide 187250 by -1750. -107 -375608 divided by -8 46951 Divide -16440 by -3288. 5 -23948 divided by 23 -23948/23 What is 54858 divided by 3? 18286 What is 52 divided by -69110? -26/34555 Divide -190820 by -470. 406 Calculate 163445 divided by 5. 32689 -192102 divided by 64034 -3 Calculate 157 divided by -3431. -157/3431 What is -237184 divided by 6? -118592/3 Divide -4236 by 1059. -4 -2505576 divided by 4 -626394 -4 divided by 1685 -4/1685 -71 divided by 179 -71/179 Calculate 320654 divided by 1. 320654 Divide 134782 by -134782. -1 Divide -466026 by 307. -1518 Divide 19338678 by 6. 3223113 What is -109360 divided by -80? 1367 What is 43860 divided by 2? 21930 What is 5 divided by 7576? 5/7576 Divide 20332 by 4. 5083 959684 divided by -239921 -4 Calculate 114 divided by 41721. 38/13907 Calculate 2613492 divided by 84. 31113 -4 divided by 122160 -1/30540 What is -42608 divided by -1? 42608 What is -20559 divided by 623? -33 Calculate 45928 divided by 5. 45928/5 79479 divided by -8 -79479/8 -1010240 divided by -820 1232 Calculate 620825 divided by -95. -6535 Divide 0 by 3893. 0 Divide 128900 by 1. 128900 Divide 67145 by 6. 67145/6 Calculate 97 divided by 9871. 97/9871 Divide 5 by -7079. -5/7079 Calculate 0 divided by -5170. 0 -2 divided by 117699 -2/117699 304010 divided by -21715 -14 What is -510624 divided by 2? -255312 Divide -273428 by 2. -136714 Calculate -203012 divided by 1. -203012 What is 133 divided by 1284? 133/1284 What is 992610 divided by 6? 165435 What is -2953 divided by 17? -2953/17 What is -36228 divided by 5? -36228/5 Divide 14124 by 3531. 4 Calculate -830991 divided by -5653. 147 Divide -2876310 by 810. -3551 Divide -3 by -21271. 3/21271 What is -47212 divided by 814? -58 What is 344664 divided by 5? 344664/5 12404 divided by -6 -6202/3 -85902 divided by -2 42951 What is -241604 divided by -21964? 11 What is -1326 divided by -434? 663/217 What is -2 divided by -91103? 2/91103 Divide 477 by -3210. -159/1070 4845 divided by 969 5 Divide 46614 by 7769. 6 Divide 12 by -798807. -4/266269 Divide -4096 by 3. -4096/3 Calculate 137 divided by -80. -137/80 Divide 199 by -669. -199/669 Divide -3096 by 2. -1548 What is 329901 divided by -6? -109967/2 2 divided by 32753 2/32753 What is -4863 divided by -75? 1621/25 What is 26 divided by -2557? -26/2557 34028 divided by -8507 -4 237324 divided by -79108 -3 What is 2511912 divided by -96612? -26 -15 divided by -20639 15/20639 Divide 20 by 617. 20/617 Calculate -52653 divided by 5. -52653/5 What is 53 divided by 11704? 53/11704 Divide 1407 by 3. 469 3648 divided by 5 3648/5 What is -331577 divided by 3? -331577/3 1098 divided by 1079 1098/1079 Calculate -1 divided by -45685. 1/45685 Divide 136276 by -4. -34069 Calculate 69404 divided by 69404. 1 Divide 11524 by 43. 268 What is 2 divided by -1892? -1/946 Calculate 1984136 divided by -8. -248017 Calculate 0 divided by 68730. 0 Divide -480 by -24. 20 Divide 87776 by -8. -10972 Calculate 993 divided by 442. 993/442 What is 269904 divided by -6? -44984 Calculate -67560 divided by -5630. 12 What is 1373165 divided by 274633? 5 Calculate 48027 divided by -2287. -21 Divide 0 by 1552. 0 What is -11433 divided by -3? 3811 Calculate -2149849 divided by -13. 165373 Divide 212175 by 15. 14145 Calculate 649 divided by 256. 649/256 What is -4 divided by -87775? 4/87775 Calculate 79632 divided by 13272. 6 What is 417576 divided by -52197? -8 What is 26040 divided by 1736? 15 Divide -87778 by 14. -43889/7 -83772 divided by -2 41886 What is -2199 divided by -5? 2199/5 What is 24334 divided by 1058? 23 Divide -255 by -16. 255/16 What is 80461 divided by 7? 80461/7 Divide -908 by -151. 908/151 Calculate -14 divided by -953. 14/953 0 divided by -2133 0 What is 1594 divided by -797? -2 Calculate 725 divided by -110. -145/22 What is -155922 divided by 8? -77961/4 What is 55 divided by 87? 55/87 What is 605566 divided by -5? -605566/5 What is 80828 divided by 40414? 2 Calculate -2551759 divided by 2. -2551759/2 What is 0 divided by 9064? 0 Divide 153198 by -9. -17022 What is -5756 divided by 5756? -1 Calculate -2892 divided by 32. -723/8 Calculate 13925 divided by 5. 2785 What is 62616 divided by -4? -15654 -87379 divided by -1 87379 Calculate 370478 divided by -142. -2609 -712085 divided by -535 1331 Divide 1 by 136916. 1/136916 180591 divided by -3 -60197 -145587 divided by 48529 -3 What is -621276 divided by 207092? -3 What is 8 divided by -4909? -8/4909 -289110 divided by 3 -96370 What is -3 divided by 29469? -1/9823 Calculate 88908 divided by -4. -22227 -104054 divided by 104054 -1 Calculate -3519 divided by 42. -1173/14 170224 divided by -3 -170224/3 5 divided by 85726 5/85726 What is -11276 divided by 1? -11276 -1 divided by 96246 -1/96246 552798 divided by 261 2118 What is 22578 divided by 6? 3763 -2 divided by 189901 -2/189901 Divide 0 by 721227. 0 What is 3 divided by 12300? 1/4100 What is 19628 divided by -13? -19628/13 -20129 divided by -47 20129/47 Divide 12328 by -4. -30
{ "pile_set_name": "DM Mathematics" }
Let h(t) = 34*t**2 + 6*t + 3. Let s(o) = -141*o**2 - 21*o - 11. Give -11*h(k) - 3*s(k). 49*k**2 - 3*k Let y(x) = -5*x - 2. Let i(t) = 5*t**2 - 55*t - 16. What is i(w) - 11*y(w)? 5*w**2 + 6 Let q(h) = 517*h**2. Let f(o) be the second derivative of -43*o**4/12 + 916*o. Determine 47*f(b) + 4*q(b). 47*b**2 Let f(j) = 0*j**2 + 7*j**2 - 922*j - 2*j**3 + 5 + 458*j + 464*j. Let c(m) = -m**3 + m**2 + 1. Give -5*c(a) + f(a). 3*a**3 + 2*a**2 Let f(g) be the second derivative of g**5 - 2*g**4/3 - 3*g**2 + 44*g. Let j(c) = 7*c**3 - 3*c**2 - 2. Give 3*f(m) - 8*j(m). 4*m**3 - 2 Let j(y) = -5*y**3 - y + 1. Let b = 8903 + -8895. Let f(z) = 14*z**3 + 4*z - 2. Determine b*j(c) + 3*f(c). 2*c**3 + 4*c + 2 Suppose 3*q - 8 + 29 = -2*j, -5*j - 4*q - 35 = 0. Let y(i) = -5*i + 6. Let w(o) = 4*o - 5. Let z be 9/(-2) + (-15)/(-30). What is j*y(l) + z*w(l)? -l + 2 Suppose 5*v - 23 = v + a, -4*v + 5*a = -35. Suppose -40 = -3*m - 31. Let g(n) = -7*n**2 - 4. Let j(h) = 4*h**2 + 2. Calculate m*g(u) + v*j(u). -u**2 - 2 Let g(f) = 2*f + 5. Let d(m) be the second derivative of m**3/3 + 3*m**2 + 123*m. Let k = 122 + -126. Give k*d(r) + 5*g(r). 2*r + 1 Let x(p) = -83*p + 33. Let t(l) = l + 12. Give -6*t(z) + 2*x(z). -172*z - 6 Let d(o) = 29*o - 1. Let c(i) = 1. Suppose -111 = -19*u - 92. Determine u*d(n) + 3*c(n). 29*n + 2 Let x(a) = -1 + 3 + 9*a - 1 - 6*a - 2. Suppose -3*k - 10 = -25. Let m(j) = -20*j - 102. Let z(o) = -7*o - 36. Let t(r) = 6*m(r) - 17*z(r). Give k*t(u) + x(u). -2*u - 1 Let i = 22467 - 22463. Let q(y) = -y**2 + 19*y - 2. Let c(u) = 2*u**2 - 18*u + 3. Give i*c(r) + 6*q(r). 2*r**2 + 42*r Suppose 30 = -5*t - 0. Let z(a) = -a + 1. Let s(j) be the second derivative of -1/12*j**4 + 0 + 48*j - 7/2*j**2 + j**3. Determine t*z(x) - s(x). x**2 + 1 Let a(c) = -32*c**2 + 28*c. Let w(s) = -s**2 + s. Let j = -110 + 108. Let g be (-4*(j + 1))/(-2). What is g*a(n) + 56*w(n)? 8*n**2 Let r(x) = 18781 - 18785 + 3*x**2 - 4*x + 2*x**2. Let u(p) = -4*p**2 - p - 1 + 3*p**2 + 2*p**2. Let o be 12/(-5)*(-390)/(-52). Determine o*u(k) + 4*r(k). 2*k**2 + 2*k + 2 Let z(y) = 2*y - 3. Let w(j) = -4*j + 6. Let b be 4/4*81/(-9) - -6. Give b*w(c) - 7*z(c). -2*c + 3 Suppose 27*u + 32 = 31*u. Let l(h) = -2*h + 1 - h + 2*h + 6. Let x be l(u). Let m(v) = 2*v**2 - 5*v + 5. Let p(y) = -y + 1. Calculate x*m(o) + 3*p(o). -2*o**2 + 2*o - 2 Let i(o) be the second derivative of 3*o**3/2 + o**2/2 - 16*o - 44. Let c(d) = 8*d + 1. Determine 5*c(u) - 4*i(u). 4*u + 1 Let p = -16201 - -16208. Let f(b) = -3*b + 102. Let y(g) = -2*g + 68. What is p*y(k) - 5*f(k)? k - 34 Let f(x) = 318*x - 4777. Let m be f(15). Let y(u) = 6*u + 27. Let p(z) = 5*z + 27. Determine m*p(o) + 6*y(o). o - 27 Suppose 5 = -5*f - 230*q + 227*q, -q = 3*f - 1. Let u(m) = 15*m**2 + 2*m. Let w(v) be the second derivative of v**4/12 + v**3/6 + 2*v. Give f*w(j) - u(j). -13*j**2 Let n(v) be the first derivative of -12*v + 15/2*v**2 - 107. Let d(y) = 6*y - 5. Determine 12*d(s) - 5*n(s). -3*s Let f(w) = 160*w**2 - 20*w. Let b(d) = 62*d**2 - 244*d**2 + 83*d**2 + 3*d + 76*d**2. What is -20*b(g) - 3*f(g)? -20*g**2 Let l(h) be the third derivative of -493*h**5/20 - 221*h**3/6 - 637*h**2. Let v(b) = -20*b**2 - 3. Determine -6*l(r) + 442*v(r). 34*r**2 Let o = -258386 + 258383. Let c(b) = 2*b - 5 - 5*b + 0*b. Let y(i) = 2*i + 6. What is o*y(n) - 4*c(n)? 6*n + 2 Let h(m) = -17888*m + 154. Let i(c) = -3577*c + 29. Give -3*h(a) + 16*i(a). -3568*a + 2 Let w(c) be the second derivative of -c**5/10 - 7*c**4/12 - 5*c**3/6 + 5*c**2/2 + 3930*c. Let y(a) = -a**3 - 3*a**2 - 2*a + 3. Give 2*w(m) - 5*y(m). m**3 + m**2 - 5 Let u(k) = -2*k**3 + 2*k + 4. Let m(w) be the second derivative of -w**5/10 + w**3/3 + 5*w**2/2 + 993*w. Determine -3*m(n) + 4*u(n). -2*n**3 + 2*n + 1 Let b(k) = 2*k - 3. Let i(j) = -69*j - 17. Determine 3*b(o) - i(o). 75*o + 8 Let a(u) = -66*u. Let s(l) be the first derivative of 199 - 5/2*l**2 + 0*l. What is -4*a(q) + 54*s(q)? -6*q Let i be (-14)/(-3) + (-4)/6. Suppose -408 = 8*l - 76*l + 204. Let t(n) = 7*n + 3. Let v(s) = -15*s - 7. Give i*v(h) + l*t(h). 3*h - 1 Let p(v) = -6*v**2 + 4*v**2 - 5 + 4*v**2 - 5*v + 3*v**2. Let n(d) = -1 + 3*d**2 + 6258*d - 6259*d - 2*d**2. Calculate 6*n(r) - p(r). r**2 - r - 1 Let i(n) be the third derivative of -n**6/20 - n**5/15 + n**4/24 + n**3/6 + 301*n**2. Let d(r) = 5*r**3 + 3*r**2 - 2*r - 1. Give 4*d(u) + 3*i(u). 2*u**3 - 5*u - 1 Let z(h) = h**3 + 5*h**2 - 6*h + 3. Let a be z(-6). Let w(f) = -11*f - 15. Let q(y) = -5*y - 7. Let o = -17202 + 17195. What is a*w(i) + o*q(i)? 2*i + 4 Let i(x) = 4*x**3 + x**2 + x + 8. Let y(k) = -9 + 171*k**2 - 170*k**2 + k**3 - 9 + 17. What is i(t) - y(t)? 3*t**3 + t + 9 Let y(i) = 9. Let l(r) = 1203*r - 62. What is -2*l(p) - 14*y(p)? -2406*p - 2 Let t(a) = -a. Let u(r) = -10*r**2 + 4*r + 41. Let c(s) = 5*s**2 - 2*s - 16. Let b(g) = 5*c(g) + 2*u(g). What is -b(p) - t(p)? -5*p**2 + 3*p - 2 Let y(b) = -15*b + 10. Let v(u) = 27*u - 8. What is 4*v(z) + 3*y(z)? 63*z - 2 Let f(h) = 14. Let q(n) = 5. Let p(z) = 6*f(z) - 17*q(z). Let b(a) = 3*a**2 + 5. Let m be -23 - (-2 + 15*(-102)/85). Give m*p(t) - b(t). -3*t**2 - 2 Let o(y) = 10*y + 2. Let d(f) = 4 + 15*f + 9*f + 8*f - 18*f + 5*f. What is 4*d(n) - 9*o(n)? -14*n - 2 Let b(d) = -25*d - 4. Let l(i) = 27*i - 2. Give -3*b(n) - 4*l(n). -33*n + 20 Let k(q) = -q**2 + 7*q + 2. Let a(f) = -6*f**2 + 33*f + 16. Calculate -a(g) + 9*k(g). -3*g**2 + 30*g + 2 Let c(o) = o**3 + o**2 - 2*o. Let k(z) = -3*z**3 + 2*z**2 + 2*z - 3. Let r(d) = -c(d) - k(d). Let l(n) = n**3 + 1. What is -l(v) - r(v)? -3*v**3 + 3*v**2 - 4 Let n(b) = 5*b**2 - b + 2. Let d(o) = -12*o**2 + 2*o - 463. What is -d(g) - 2*n(g)? 2*g**2 + 459 Let f(k) = k**3 - 2*k**2 - 1. Let q(t) = -t**3 + 2*t**2 + 2. Suppose -73*s + 5 - 268 = -44. What is s*q(b) - 4*f(b)? -b**3 + 2*b**2 - 2 Let y(w) be the first derivative of -3*w**4/4 + 3*w**2/2 + w - 286. Let r(j) = -6*j**3 + 5*j + 2. Let g be (-4 - (-3 - 2)) + -4. Determine g*r(z) + 5*y(z). 3*z**3 - 1 Let a(z) = 2*z - 3. Let m(x) = -4. Let c(j) = -2*j - 11. Let q(b) = 2*c(b) - 7*m(b). Give 5*a(w) + 3*q(w). -2*w + 3 Suppose -3*b + 4 = -2. Let i(k) be the second derivative of k**4/12 - k - 23. Let r(y) = 49*y**2 + 1 - 1 - 51*y**2. Determine b*r(v) + 2*i(v). -2*v**2 Let c(h) = -8564 + 17134 - 8569 - h. Let z(x) = -9*x**2 + 72*x - 72. Give -216*c(v) - 3*z(v). 27*v**2 Let o(l) = 3*l - 4. Let f(y) = 4 - 4*y - 4 + 5. Let g(z) = -4*f(z) - 5*o(z). Suppose 45*a - 315 + 90 = 0. Let r(t) = 4*t - 2. What is a*g(p) - r(p)? p + 2 Let b(v) = -7*v**2 + 3343*v - 3. Let w(u) = 12*u**2 - 6682*u + 5. Determine -5*b(g) - 3*w(g). -g**2 + 3331*g Let g(n) be the second derivative of -3*n**5/20 + n**4/6 - 3*n**3/2 - 465*n + 1. Let z(q) = -q**3 + q**2. Determine -g(w) + 2*z(w). w**3 + 9*w Let v(m) = -3*m + 456. Let u(f) = 5. Calculate -5*u(d) - v(d). 3*d - 481 Let d(m) = m**2 - m + 1. Let b(t) = 6*t**2 + 5*t - 7. Let u(p) = p**3 + 3*p**2 - 23*p - 29. Let o be u(-6). Determine o*b(h) + 5*d(h). 11*h**2 - 2 Let t(w) = 106*w + 149. Let h(z) = 248*z + 297. Calculate -3*h(x) + 7*t(x). -2*x + 152 Let t(g) = -6*g. Suppose 2326434 = 25*x + 2326484. Let w(o) = 18*o. Let h(n) = -n**2 + n - 7. Let f be h(0). Determine f*t(p) + x*w(p). 6*p Let k(z) = 3*z**3 - z**2 + 6*z - 1. Let g(c) be the third derivative of -c**6/120 + c**5/60 + c**4/24 - 825*c**2 + c. Calculate g(f) + k(f). 2*f**3 + 7*f - 1 Let q(r) = -r + 1. Let x(w) = -42*w + 22*w + 9 - 9*w + 15*w. Give -6*q(i) + x(i). -8*i + 3 Let a(p) = -38*p**3 + 56*p**2 + 28. Let n(c) = 74*c**3 - 111*c**2 - 63. Give -9*a(z) - 4*n(z). 46*z**3 - 60*z**2 Let g(y) = 2*y**2 - y - 2. Let d(z) = -4*z**3 + 758*z**2 - 2*z - 2. Give d(l) - g(l). -4*l**3 + 756*l**2 - l Let g(f) = -7*f**3 - f**2 - f - 3. Let c(x) = -47*x**3 - 9*x**2 - 7*x + 3256. Determine c(t) - 7*g(t). 2*t**3 - 2*t**2 + 3277 Let d(k) = -3*k**3. Let x(g) = -g**3. Suppose -7*f + 24 = 5*f. Let i be (8/((-4 + 1)/3))/f. Let c be -2 + (-6)/i - (-154)/(-44). Give c*d(y) + 11*x(y). y**3 Let r(o) be the second derivative of 1/6*o**3 - 17*o + 0 + 19/2*o**2. Let u(a) be the first derivative of r(a). Let p(t) = -t + 10. Determine -2*p(l) + 22*u(l). 2*l + 2 Let i(l) = l**3 - 2*l**2 - 1. Let y(g) = g**3 - 7*g**2 + 20. Give -3*i(f) + y(f). -2*f**3 - f**2 + 23 Let r = -58 + 64. Let q(t) = t + 3*t**2
{ "pile_set_name": "DM Mathematics" }
be (q - -3) + 8 + -1. Determine t(j). -4 Let z(p) = -11*p**3 - 2*p**2 + 9*p - 7. Let q be (0 + 0 + -2)*-3. Let r(w) = -w**2 - 6*w**3 - 3 + w + w**3 + 3*w. Let y(m) = q*z(m) - 13*r(m). Give y(2). -3 Let j(n) = 2*n**2 - 5*n + 1. Let k be j(3). Let p(m) = -5 + k - m**2 - 4*m + 7*m - 4*m. What is p(3)? -13 Let j(o) = -o**3 - 12*o**2 - 19*o + 9. Let n be j(-10). Let u(h) = -5*h. Give u(n). 5 Let t(m) = -6*m - 2. Let c be -3*(-1)/(-4 + 3). Determine t(c). 16 Let x(w) = w**3 - 1 + 7 - 1 - 2. Determine x(0). 3 Let m(a) = 0*a**2 + 0*a - 1 - a**2 - a + 0*a**2 + a**3. Let s(j) = j**3 - 3*j**2 + 2*j - 3. Let n(b) = 2*m(b) - s(b). Determine n(-3). -5 Let o = -3 + 4. Let c(w) = 22*w + 1. Let l be c(o). Suppose 0 = -s + u - 0*u + 7, -l = -2*s + 5*u. Let a(k) = -k**2 + 5*k - 1. Determine a(s). 3 Let c(r) = 6 + 3*r + 6 - 11 - 4*r. Calculate c(3). -2 Let p(f) = 2*f - 2*f + 26*f**2 - 13*f**2. Calculate p(-1). 13 Let d(q) = 6*q + 2. Let r(o) = 7*o + 1. Let a(l) = 6*d(l) - 5*r(l). Let w = -54 + 54. Determine a(w). 7 Let n(i) = -i**3 + 6*i**2 + i - 7. Suppose d - 7 = -4*t, -2*t = -3*d - d - 8. Let g be t/((-1)/(-12)*4). Give n(g). -1 Suppose 0 = 5*n - 4*h + 36, -2*h + 8 = 2*n + 2*h. Let s(c) = 2*c + c**2 + 0*c + 0 - 1. Give s(n). 7 Let a be 0 - (2 - (3 - 2)). Let d(n) = 5*n**2 - n. Give d(a). 6 Let y(b) be the first derivative of -1/4*b**4 + 3 - 3*b - b**2 - b**3. Let k(n) = -n**3 - 7*n**2 - 5*n + 3. Let g be k(-6). Give y(g). 3 Let h be -1 + 6/(4 - 1). Let c(k) = 9*k**3 - 2*k**2 + 1. Calculate c(h). 8 Let n(q) = 9*q - 7. Let p(k) = 19*k - 15. Let f(u) = 9*n(u) - 4*p(u). Calculate f(2). 7 Let y be (5/(-1) - 2) + 2. Let a(i) = -i. Let t(o) = 3*o - 2. Let b(q) = y*a(q) - t(q). Give b(-4). -6 Let s(j) = j**3 + j**2 - j - 1. Let w(m) = -m - 3. Let i be w(-5). Calculate s(i). 9 Let m = -62 + 62. Let z(n) be the second derivative of m - 9/20*n**5 + 1/6*n**4 - 1/2*n**2 - n + 0*n**3. Determine z(1). -8 Let d(r) = -6*r + 3 + 1 - 1 + r**2. Let w(l) = l - 5*l**3 - 2 + 0 + 3. Let o be w(-1). Calculate d(o). -2 Let p(g) = -g - 7. Let a = 14 - 7. Suppose 5*b + 3*j + 35 = 0, -b + 0 = -2*j + a. Determine p(b). 0 Let k(a) = -a + 4. Suppose -37 = -5*f - 4*j, -2*f + 4*j = 2*f - 8. Let p(u) = u**2 - 2*u - 7. Let q be p(f). Let b = -4 + q. What is k(b)? 0 Let c(v) = -v - 2. Suppose -2*k - 30 = -4*m, -3*k = -m + 11 - 1. What is c(m)? -9 Let z(f) = f**2 - 8*f - 6. Let g = -20 - -23. Suppose 6 = x + 2*v, -5*x - v + g*v + 42 = 0. Give z(x). -6 Let j be 24/(-56) - (-93)/21. Let m(y) = y**3 - 4*y**2 - 2*y + 4. Determine m(j). -4 Let r(z) = -8*z - 4. Let x(n) = -n. Let g(u) = -r(u) + 4*x(u). Determine g(-4). -12 Let r(t) = t**2 - t - 2. Let h be r(2). Let s(b) = 2*b**2 + b - 1. Let w be s(1). Let f(m) = 6 + m**2 - 2*m**w + 2 + m. Calculate f(h). 8 Let l be (3/(-2))/((-3)/(-10)). Let x(o) = -2*o - 7. What is x(l)? 3 Suppose 5*s - 7 = 23. Let q be (4/s)/(8/12). Let j(k) = -k - 1. Calculate j(q). -2 Let c(x) = -x**2 + x + 2. Suppose -9 = -4*t - 5*s, 4*t - 6*s = -s - 1. Suppose -t = -3*i + 5. Give c(i). 0 Let q(k) be the second derivative of -k**5/20 + k**4/2 + 4*k**3/3 - 4*k**2 + 11*k. Calculate q(7). -1 Let b(k) = 2*k**2 - 3*k + 1. Let i be (-3)/6 - 5/(-2). Let z be b(i). Let n(v) = -4 + v**z - 3*v + 2*v + 2. Calculate n(2). 4 Let b(s) = -s**3 + 6*s**2 + 6*s + 8. Let h be b(7). Let z(f) = f**3 - f**2 + 1. Let n(v) = 3*v**3 - v**2 + 1. Let d(q) = -3*n(q) + 2*z(q). Determine d(h). -7 Let v = 17 + -17. Let r(l) = l**2 + 4. What is r(v)? 4 Let z(k) = -k**2 + 11 - 9 + 5*k + k. Give z(5). 7 Let n(m) = -3*m + 1 - 5 + 5*m. Give n(5). 6 Let c(y) = -4*y**3 + 2*y - 1. Let u be (-2 + (-5)/(-3))*-3. Determine c(u). -3 Let v(o) = -o**2 - 7*o - 6. Let j(b) = -5 + 4 + 5*b + 0*b**3 - 3 + 6*b**2 + b**3. Let z be j(-5). Calculate v(z). 6 Let w(l) = 3*l - 62. Let a be w(22). Let k(p) = -p**3 + 5*p**2 - 4*p + 1. Give k(a). 1 Suppose j = -3*f, -3*j = -j + 4*f + 4. Let o = j + 8. Let x(v) = o*v + v + v. Calculate x(1). 4 Let t(g) = g**3 + 7*g**2 - 9*g - 10. Suppose -2*x + 4*x = -16. Calculate t(x). -2 Let c(u) be the first derivative of 1/4*u**4 - 1/2*u**2 + 7 + 4/3*u**3 + u. Determine c(-4). 5 Let i(y) = -1 - 4*y + y**2 - 11 + 5. Let c = 21 + -15. Determine i(c). 5 Let g(w) = 4*w**3 + 3*w + 1. Let i(h) = h**3 + h**2 - 1. Let l(m) = -g(m) + 3*i(m). Suppose -5*a = -0*v + v - 14, -4*v = 4. What is l(a)? -13 Let j = 5 + -5. Suppose j = -5*g + 5*z + 10, -g + 6 = 2*g - 4*z. Let s(p) = 4*p - 2. Give s(g). 6 Let u(r) = 7*r - 11. Let s(d) = -3*d + 5. Let c(k) = -5*s(k) - 2*u(k). Let x = -6 + 10. Calculate c(x). 1 Let k(x) = 4 + x + 6 + 1. Calculate k(-6). 5 Suppose 5*d = 3*c - 16, 3 = 5*c + d - 5. Let w(z) = 9*z - 3 - 5*z**c + 0*z**2 + 4*z**2 - z. Determine w(7). 4 Let p(n) = n**3 - 3*n**2 + n. Let j be (-1 - -1)/(-2 - 0). Suppose 2*g + 14 = -2*x, -2*x = 4*g - 4*x + 4. Let q = j - g. Give p(q). 3 Let d(z) = -11*z**3 + 2*z**3 + 7*z**2 - 6*z + 8*z**3. Let m be d(6). Let i(x) = x**3 + x**2 - x + 7. Give i(m). 7 Let f = -11 - -14. Let s(r) = -r**2 + r + 4. Calculate s(f). -2 Let y(o) be the second derivative of o**5/20 - 3*o**4/4 + o**3/6 - o**2 + 22*o. Calculate y(9). 7 Let h(m) = m**2 - m + 1. Let y = 1 - -2. Let p be (-3)/((-1)/(-3)*y). Determine h(p). 13 Let x be 2*3/(-7 + 4). Let d(j) = j**3 + 4*j**2 - 3*j - 3. Give d(x). 11 Let i(l) = -4*l + 20. Let w(c) = 3*c - 20. Let a(s) = -2*i(s) - 3*w(s). Calculate a(0). 20 Let j(f) = 2 - 3*f**2 - f**2 - 5*f + 5*f**2. Let m(z) = z**3 + 9*z**2 + 3*z - 1. Let p be m(-9). Let y = p + 31. What is j(y)? -4 Let k(i) be the second derivative of -i**5/20 - 5*i**4/12 - i**2 - 53*i. Let c = 1 + -6. What is k(c)? -2 Let b(w) be the first derivative of w**4/4 + w**3/3 - w**2/2 + 8*w - 11. Give b(0). 8 Let k(a) = -a**2 + 7*a. Let i be k(9). Let m = -13 - i. Let b(o) = -o**3 + 5*o**2 + 2*o - 3. What is b(m)? 7 Let u(l) be the first derivative of -1/2*l**2 + 1/3*l**3 + 0*l - 3 - 5/4*l**4. Suppose 2*i + 3*p = 8, 5*p - 8 = -i + 3*i. Determine u(i). -5 Let x(d) = -3*d - 2. Let u be 4*(-2)/(-4) + 17. Suppose 3*g - 5*t = u, -2*t = -3*g - t - 1. What is x(g)? 4 Let r(b) = b**3 - 2*b**2 - 5*b + 3. Suppose -23*n + 21*n = -6. Give r(n). -3 Let l(b) = 3*b**3 + 2*b**2 + 9*b - 3. Let z(g) = 2*g**3 + 2*g**2 + 8*g - 3. Let f(o) = 4*l(o) - 5*z(o). What is f(3)? 27 Let h(r) = -6*r**3 + 1. Let d be h(1). Let l = 4 - 1. Let s(u) = 6*u**2 + 2 + 6*u + 3*u**l - u**3 - u**3. What is s(d)? -3 Let l(k) be the second derivative of -k**5/20 - k**4/3 + 5*k**3/6 - 7*k**2/2 - 2*k. Suppose -o + 4 - 2 = 0. Suppose -o*v = 17 - 7. What is l(v)? -7 Let q(x) = x**2 - 4*x - 13. Let h(z) = -z**2 + 4*z + 14. Let i(n) = 6*h(n) + 7*q(n). Let d be (1 + 2)/(-3) + 11. Let f = -5 + d. Give i(f). -2 Let y be 4 + 1/((-12)/38). Let u(a) be the second derivative of -2*a**2 + 1/12*a**4 + 0 + 1/20*a**5 - y*a**3 - a. What is u(-3)? -7 Let s(q) = -q + 2. Suppose -5*w + 37 = 12. Determine s(w). -3 Let v(i) = -2*i**2 + 3*i + 2. Let l(y) = 5*y**2 - 10*y - 6. Let w = -8 + 5. Let b(n) = w*l(n) - 8*v(n). Calculate b(-3). -7 Let n(i) = 2*i**2 - i. Let w = -22 + 24. Give n(w). 6 Let x(i) = -3*i**2 + 9*i + 1 + 2 + 4*i**2 - 4*i. Suppose -3*j = -j + 8. What is x(j)? -1 Suppose -5*h = -h + 4, -5*u = 2*h - 8. Suppose -2 = u*w - 4*w. Let o(z) = -z**3 - z + 1. Give o(w). -1 Let h = -10 + 9. Let d be 5 + h - (1 - -1). Suppose -v = d*v - 3. Let r(q) = -11*q**2. Calculate r(v). -11 Let u(q) = 2*q**2 + q + 1. Suppose -2*m - 4 = -4*z, -4*z + 7*z = -5*m + 42. Let b(x) = 3*x - 2*x - 5 + 1 - 3. Let w be b(m). Calculate u(w). 2 Let m(b) be the third derivative of -b**5/60 - b**4/4 - b**3/6 + 14*b**2. Calculate m(-6). -1 Let a(b) = -b**3 + 6*b**2 + 6*b + 1. Let c(k) = -2*k - 9. Let v be c(-8). Let p be a(v). Let f(u) = u - 3. Determine f(p). -9 Let j(s) = -s + 3. Let q be 2/(-2) - (-14)/2. Suppose -h + 1 = q. Calculate j(h). 8 Let r be (-5 - -1)*1*-1. Let v(l) be the second derivative of l**5/20 - l**4/3 + l**3/3 + 3*l**2/2 - 13*l. Give v(r). 11 Let i(c) = -c**3 + c**2. Let b(m) be the third derivative of -m**6/30 + m**5/30 - m**4/4 + m**3 - 3*m**2. Let j(z) = -b(z) + 5*i(z). Determine j(4). 2 Let b(v) = -6*v - v**3 - 6*v**2 - 2 + 0*v - 1. Suppose -3*i + 3*s - 16 = 2*i, 3*i - 3*s + 6 = 0. Determine b(i). 2 Let c(h) = -2*h - 7. Let r be 4/((-8)/18*39/26). What is c(r)?
{ "pile_set_name": "DM Mathematics" }
what is 3 + 113? 116 In base 3, what is -210101 - -2? -210022 In base 7, what is 10025 + 4? 10032 In base 9, what is -7 - 275? -283 In base 15, what is 6 - 11b? -115 In base 16, what is 14c - 0? 14c In base 16, what is -47 - 0? -47 In base 13, what is 0 - 670? -670 In base 12, what is -3b2 - -3? -3ab In base 16, what is 85 - -d3? 158 In base 13, what is -527c - 1? -5280 In base 10, what is 2 + 102? 104 In base 10, what is 1068 - 0? 1068 In base 15, what is 435 + -5? 430 In base 16, what is -a + -11? -1b In base 15, what is -322 + -3? -325 In base 2, what is 1101 + 110101110? 110111011 In base 4, what is 2 - 111201? -111133 In base 4, what is 1101230 - 0? 1101230 In base 12, what is 1 + -1a76? -1a75 In base 8, what is -35 - -3? -32 In base 16, what is 1 + 2a9? 2aa In base 4, what is 22 + 1311? 1333 In base 15, what is 0 + 27? 27 In base 11, what is -5 - 66? -70 In base 15, what is 19e - 0? 19e In base 11, what is -1310 - 3? -1313 In base 12, what is -328 + -4? -330 In base 14, what is 418 + 5? 41d In base 15, what is 21e + -3? 21b In base 16, what is -b53 + 2? -b51 In base 13, what is 2 - -2ba? 2bc In base 16, what is 26 + 9? 2f In base 10, what is 15 - -82? 97 In base 9, what is 3 + -13? -10 In base 14, what is 33 - -74? a7 In base 3, what is -12 + 10011? 2222 In base 11, what is -11 + 29? 18 In base 13, what is -9214 - 2? -9216 In base 2, what is -1111000101 + 0? -1111000101 In base 11, what is 1 - aa? -a9 In base 8, what is 1252 - 0? 1252 In base 13, what is -b - 3c? -4a In base 4, what is 3 - 111? -102 In base 12, what is -19 - 4? -21 In base 5, what is -2 + 111312? 111310 In base 14, what is -1282 - 4? -1286 In base 8, what is -37 - -1? -36 In base 14, what is -4 + 158? 154 In base 15, what is e + e? 1d In base 15, what is 71a + 3? 71d In base 16, what is -175 + 18? -15d In base 12, what is -a0 - -4? -98 In base 7, what is 3 + 31? 34 In base 3, what is 200 + -11200? -11000 In base 11, what is -9 + -312? -320 In base 9, what is 66 - -5? 72 In base 16, what is e9d - 1? e9c In base 6, what is 10 + 4253? 4303 In base 3, what is 121011 - -1? 121012 In base 6, what is -13 - 300? -313 In base 5, what is 102 + 20010? 20112 In base 2, what is 110 + -10100? -1110 In base 14, what is -2 - -458? 456 In base 8, what is -5 + 17? 12 In base 13, what is -1400 + -5? -1405 In base 10, what is 2 + 4589? 4591 In base 12, what is 1 - 5b4? -5b3 In base 12, what is 1a5 - 4? 1a1 In base 2, what is -111001111111 - -1? -111001111110 In base 2, what is -10101001 - -1001001? -1100000 In base 12, what is -29 - 30? -59 In base 8, what is 53045 + 0? 53045 In base 7, what is -1144 + -2? -1146 In base 12, what is 2 + 79? 7b In base 13, what is -29 + 2a? 1 In base 15, what is -6d56 - 0? -6d56 In base 2, what is -101111 + -111100010? -1000010001 In base 4, what is 111322 + 3? 111331 In base 6, what is 5303 + 1? 5304 In base 12, what is 15a0 - -2? 15a2 In base 3, what is -111 + 120? 2 In base 7, what is -20410 - -5? -20402 In base 13, what is -18 + 922? 907 In base 9, what is 570 + -2? 567 In base 16, what is 10c1 - 4? 10bd In base 2, what is -10010111 - 110? -10011101 In base 12, what is 2 + a3? a5 In base 8, what is -10 - 71? -101 In base 12, what is 2 + -55a? -558 In base 7, what is 13 - 116? -103 In base 16, what is 4 + -68? -64 In base 8, what is 6 + 644? 652 In base 7, what is 1 + 206? 210 In base 6, what is -5 + -4024? -4033 In base 15, what is 0 - 30? -30 In base 9, what is 3510 + 2? 3512 In base 9, what is -7 - 238? -246 In base 12, what is 1 - a9? -a8 In base 16, what is -1a - -1? -19 In base 10, what is -44 + -1? -45 In base 6, what is -1243 + -3? -1250 In base 5, what is 2011 - 2? 2004 In base 16, what is -485 + 5? -480 In base 6, what is 2535 - 1? 2534 In base 7, what is -40 - 1? -41 In base 6, what is -5 - 104? -113 In base 8, what is -32 - 12? -44 In base 10, what is 215 + 1? 216 In base 3, what is -1020 + -1? -1021 In base 5, what is -234 + -2? -241 In base 3, what is 202110 - -1? 202111 In base 11, what is 147 - -3? 14a In base 16, what is 1 - -13d? 13e In base 6, what is 2032 - 0? 2032 In base 4, what is 10013 - 110? 3303 In base 13, what is -2 - 608? -60a In base 10, what is -476 - -1? -475 In base 11, what is -4 + 9a? 96 In base 5, what is -3 - -10044? 10041 In base 2, what is -11 - 110011? -110110 In base 11, what is -321 - 0? -321 In base 16, what is 3 + -61? -5e In base 11, what is 4 - -25? 29 In base 4, what is -11133 + 110? -11023 In base 9, what is -178 - 1? -180 In base 3, what is 2210 + -10200? -220 In base 5, what is 4 - 2103? -2044 In base 6, what is -234 + -5? -243 In base 2, what is -11110 - -1000? -10110 In base 5, what is -4 - 444? -1003 In base 8, what is 3 + 35? 40 In base 3, what is -1002121 + 21? -1002100 In base 7, what is -540 - -22? -515 In base 12, what is 5 - 11a? -115 In base 14, what is -45 - -7? -3c In base 3, what is 212212 + 2? 212221 In base 11, what is -6 - 54? -5a In base 11, what is -71 - -3? -69 In base 2, what is -10111 - 111100100? -111111011 In base 9, what is -10402 - -1? -10401 In base 5, what is -2 + 14414? 14412 In base 2, what is 0 + -1011111? -1011111 In base 5, what is -104 + 12? -42 In base 9, what is -5 + 34? 28 In base 2, what is -10000010 - 1101101? -11101111 In base 7, what is -456 + -5? -464 In base 8, what is 70 + 5? 75 In base 9, what is -1566 + -7? -1574 In base 11, what is 380 - -15? 395 In base 16, what is -a - 110? -11a In base 15, what is 39 + d7? 121 In base 12, what is -23 + 135? 112 In base 15, what is -b4 + -1? -b5 In base 12, what is 0 + -12? -12 In base 5, what is -3120 + 0? -3120 In base 16, what is -60 - 2? -62 In base 3, what is 0 + 2220? 2220 In base 5, what is 104342 - -10? 104402 In base 10, what is -1096 - -1? -1095 In base 14, what is 6 - -75? 7b In base 4, what is 2122 + -31? 2031 In base 8, what is -23 - -570? 545 In base 13, what is -5c0a + -2? -5c0c In base 4, what is 0 - 1100010? -1100010 In base 6, what is 1 + -4515? -4514 In base 4, what is -3 - -13? 10 In base 12, what is 1814 - 5? 180b In base 5, what is -44 - 23? -122 In base 9, what is -8 + 645? 636 In base 3, what is -100020212 - 1? -100020220 In base 11, what is -6745 + -3? -6748 In base 6, what is 153 + 0? 153 In base 8, what is -120 - 22? -142 In base 7, what is 616 - -4? 623 In base 3, what is -2002 + 100? -1202 In base 14, what is -2 + 7d8? 7d6 In base 3, what is 11000 - -12? 11012 In base 10, what is 5 + -232? -227 In base 7, what is 14 + 0? 14 In base 13, what is -5 + -11b? -123 In base 8, what is 214 - 20? 174 In base 13, what is 82 - 6? 79 In base 5, what is 221 - 4? 212 In base 8, what is 1 - -756? 757 In base 8, what is 572 - 0? 572 In base 9, what is 22 - -13? 35 In base 3, what is 12 - 21022221? -21022202 In base 11, what is -20 + -50? -70 In base 11, what is -1063 - -4? -105a In base 6, what is 1 + -453? -452 In base 4, what is -130 - -233? 103 In base 14, what is 5 + 1d9? 200 In base 5, what is 0 + -20322? -20322 In base 10, what is 27 - 112? -85 In base 10, what is 20 + 16? 36 In base 11, what is -55 + 2? -53 In base 2, what is 1001110100 - -1011? 1001111111 In base 4, what is -30 - 202? -232 In base 9, what is 6 + 18? 25 In base 4, what is -103100 - -3? -103031 In base 4, what is -3 + 32? 23 In base 11, what is 66 + 125? 190 In base 4, what is -1312 + 10? -1302 In base 9, what is -800 - -7? -782 In base 14, what is 0 + 199? 199 In base 12, what is -a + -70? -7a In base 16, what is 1e + -19? 5 In base 10, what is -280 - -4? -276 In base 12, what is a - 21? -13 In base 12, what is 2093 + -5? 208a In base 5, what is 1100 - 0? 1100 In base 5, what is -4 + -100? -104 In base 7, what is 16 - -1? 20 In base 15, what is 5 - -84? 89 In base 11, what is 953 + -1? 952 In base 2, what is -1000 + -111? -1111 In base 6, what is -12 - -1141? 1125 In base 12, what is -2 - 17a8? -17aa In base 2, what is 10 - -110010? 110100 In base 9, what is -633 - 5? -638 In base 10, what is -8 - 11? -19 In base 6, what is -3 - -155? 152 In base 8, what is -35 + 313? 256 In base 10, what is -6 + 8? 2 In base 13, what is 12 - 11? 1 In base 11, what is -62a6 + 5? -62a1 In base 15, what is 2d3 + 3? 2d6 In base 3, what is 101 + 202? 1010 In base 5, what is 341 - -3? 344 In base 8, what is -4 + 340? 334 In base 9, what is -115 - -21? -84
{ "pile_set_name": "DM Mathematics" }
t h be 13 - 17 - (-3)/(-1). Put -2/5, 0.3, h, -3/8 in descending order. 0.3, -3/8, -2/5, h Let v = 431/2105 - 2/421. Sort -0.4, 0.4, 0.43, v. -0.4, v, 0.4, 0.43 Let o = -139 - -163. Let b = 26.01 - 2.31. Let m = b - o. Sort 2/17, m, -2 in descending order. 2/17, m, -2 Let t be (-18)/39 + 95/65. Suppose -4*l = 2*a - 8*l - 14, -4*a + l + 21 = 0. Sort t, -2, a, -5 in decreasing order. a, t, -2, -5 Let u(t) = -5*t - 3. Let i(v) = v. Let s(q) = 4*i(q) + u(q). Let z be s(-2). Put z, -2, 1 in increasing order. -2, z, 1 Let p = -5819/7 + 830. Sort -0.01, p, -5 in decreasing order. -0.01, p, -5 Let o = -572 + 571.96. Let p = 7/15 + -2/3. Put o, 0.3, p in decreasing order. 0.3, o, p Let z = 0.2 - 0.3. Let d = 82.4 + -87.49. Let g = d + 0.09. Put z, g, -2/21 in decreasing order. -2/21, z, g Let t = -31 + 30.7. Sort 4, t, 8/11, 2/3 in decreasing order. 4, 8/11, 2/3, t Let o = 0.62 + -1.42. Let u = -1.2 - -0.8. Sort 2, u, o in decreasing order. 2, u, o Suppose -4*b = -5*l - 8, 5*b - 5*l = 6 + 9. Let i = 0.01 - -1.99. Sort i, 5/4, b in ascending order. 5/4, i, b Let i = 8.3 + -8. Let r be 5 + -1 + (-34)/4 + 6. Put r, i, -1/2, -12 in increasing order. -12, -1/2, i, r Let b = 14 - 17. Let g be (-4)/12*b + -2. Let d = 429/7 - 61. Put -0.1, d, g in increasing order. g, -0.1, d Let q(m) = -m**2 + 10*m + 8. Let t be q(9). Suppose 4*w + t - 5 = 0. Put w, -5, -1 in increasing order. -5, w, -1 Let y(s) = 5*s + 18. Let r be y(-4). Sort -4, 4, -22, r. -22, -4, r, 4 Suppose 0 = -7*a + 495 - 103. Let k = a + -54. Put -3, -5, k in increasing order. -5, -3, k Let c = -21 + 24. Let k be 10/(-1) - (-3 - -5). Let j be (k/8)/(2/8). Put c, j, -2 in ascending order. j, -2, c Let v = -209/7 + 30. Let h = -39.7 + 41.7. Sort h, v, -1/5 in descending order. h, v, -1/5 Let p be (-4)/(-14) - 38/(-14). Suppose 3*l = -6, -7*c = -10*c + 5*l + 22. Put p, c, 1 in ascending order. 1, p, c Let x(n) = -8*n**2 + 6*n - 2. Let d be x(2). Sort d, 3, -1, 4. d, -1, 3, 4 Let f = -0.07 - -0.07. Let q = -0.2 + f. Sort 2/9, q, 2/7 in decreasing order. 2/7, 2/9, q Suppose 2*v = -15 + 13. Sort -134, v, 4 in decreasing order. 4, v, -134 Let v be (18/(-36)*1)/((-4)/(-10)). Put -0.2, v, -0.3 in decreasing order. -0.2, -0.3, v Let q be 2/3 + (32672/(-15540))/4. Let a = q - 2/259. Sort 11, -3, a in decreasing order. 11, a, -3 Let d = -27 + 11. Let r = d + 22. Let k be r + -1 + -3 + 1. Sort 5, k, 2/3. 2/3, k, 5 Let h(t) = -t - 5. Let v be h(-5). Suppose -24*g + 280 - 64 = 0. Put g, -2, v, -5 in increasing order. -5, -2, v, g Let b = -0.093 + 2.093. Sort 5/2, b, 3 in ascending order. b, 5/2, 3 Let c be (-3)/154 + (4272/(-224) - -19). Let m = -2.02 + 0.02. Put c, 0, m in increasing order. m, c, 0 Let c be 35/(-42)*6/(-70). Sort c, 0, 2 in decreasing order. 2, c, 0 Let r = -32.2 + 32.7. Put r, -3/2, 4/3, -0.1 in decreasing order. 4/3, r, -0.1, -3/2 Let q = -70/187 - 515/1122. Let m = 0.3 + 0.2. Put q, -1, 5, m in increasing order. -1, q, m, 5 Let r = 42 - -70. Suppose -r = 3*a - 115. Put -6, a, -5 in decreasing order. a, -5, -6 Let k(l) = l**2 - l - 5. Let b be k(0). Suppose -16*w + 14*w - 3*r + 10 = 0, 3*r - 12 = 0. Sort -2, -4, w, b in decreasing order. w, -2, -4, b Suppose -6 = -k + h - 4*h, -3*k = -h - 8. Sort 1/5, k, 2/7, 13. 1/5, 2/7, k, 13 Let n = 25.41 + -0.41. Let o = -23.9 + n. Let i = o - 1.6. Sort 2, -4, i. -4, i, 2 Let p be 200/32 - 3/(-4). Let h(k) = -p + k - 2*k + 5 - 5. Let s be h(-5). Sort s, -1/6, 0.3. s, -1/6, 0.3 Suppose 0 - 2 = -c. Let n(q) = 1 + 2 + 5 - c*q - 1. Let o be n(4). Put -3, 2, o in ascending order. -3, o, 2 Let y = -0.8 - -0.6. Let j = -15 + 29. Let z = -16 + j. Sort y, -5/6, z in ascending order. z, -5/6, y Let k = 1.65 - 1.6. Put 1/4, 8, 0, k in increasing order. 0, k, 1/4, 8 Let x = -1 + 2. Let y(r) be the first derivative of -r**3/3 + 10. Let g be y(x). Sort 3, g, -3 in decreasing order. 3, g, -3 Let s(b) = -b**2 - 4*b - 5. Let k be s(-4). Let z = k + 8. Let a = 8 - 3. Sort z, -4, a in decreasing order. a, z, -4 Let g = 21.8 - 22.8. Let n = -3 - 0. Sort n, 0, g, -0.03 in decreasing order. 0, -0.03, g, n Let p be (-4)/(-5 - (-5 - 4) - -18). Let i = -23 - -22.6. Put i, 0.5, 4, p in ascending order. i, p, 0.5, 4 Suppose z - 3*q = 9, -88*z + 6 = -90*z - 2*q. Sort z, -24, -5. -24, -5, z Let m(d) = d**3 + 19*d**2 - 24*d - 83. Let r be m(-20). Let w be 2*((-15)/(-6) + -3). Put r, -2, 0, w in ascending order. r, -2, w, 0 Let y(j) = -j**2 + 5*j - 1. Let q be y(3). Let m = 2208 + -2213. Sort q, -4, m. m, -4, q Let m = -2 - -1. Suppose -6 + 0 = -i. Let j be (m - 0) + i + -3. Sort 6, 1, j in ascending order. 1, j, 6 Let f = -18.8 + 23. Sort 3, 2, f in ascending order. 2, 3, f Let r = 16.2 - 12.2. Put -1/8, -0.4, -0.1, r in descending order. r, -0.1, -1/8, -0.4 Let y = 1 + 3. Suppose 2*z - 9 = -3. Suppose z*u = -4*j + 4, -2*u - 3*j = -u - 8. Sort u, 0, y. u, 0, y Let m = -49 + 147. Let o = 97.92 - m. Sort o, -3, -3/4 in ascending order. -3, -3/4, o Let t = 4.95 - -0.75. Let v = t + -1.7. Sort 5, v, -3/5 in decreasing order. 5, v, -3/5 Let r(b) = b + 11. Let c be r(-7). Suppose 0 + 8 = 2*m. Suppose 0*p - c = m*p. Sort 4, p, -5 in descending order. 4, p, -5 Let h = 704/35 - -58/7. Let b = h - 148/5. Suppose -2*s + 10 = 4*m - m, m - 2 = -2*s. Sort b, -1, m. b, -1, m Let q be (534/18)/(22/210). Let d = q + -283. Put d, -4/3, -1/5 in decreasing order. d, -1/5, -4/3 Let i = -0.179 - -0.379. Let h = -0.44 + 0.04. Sort h, 5, i, 0.1 in ascending order. h, 0.1, i, 5 Let v = 2 + -2. Let g = 6.3 + -7.3. Put g, 1/8, 5, v in increasing order. g, v, 1/8, 5 Let u = -20.85 + 22.05. Sort 4/9, u, 2 in decreasing order. 2, u, 4/9 Let m = 36.7 - 33.7. Sort m, -0.19, -2 in decreasing order. m, -0.19, -2 Let h be ((-24)/(-16))/((-10)/16 - -1). Put h, 3/5, 2, 14/5 in increasing order. 3/5, 2, 14/5, h Let s = 0.552 + 4.448. Put s, -5/4, 0.3, -0.4 in descending order. s, 0.3, -0.4, -5/4 Suppose -19*d - q - 219 = -16*d, -2*d - 146 = 3*q. Sort d, 1, 4, 3. d, 1, 3, 4 Suppose 3*w - 4 + 3 = 2*x, -4*x - 4*w + 8 = 0. Sort x, -1, 2, 12 in ascending order. -1, x, 2, 12 Let i = 411 + -411.02. Sort 1, 0.5, i in decreasing order. 1, 0.5, i Suppose -17 = -y - 5*j, 6*j = -3*y + 8*j. Put 4, -33, y in decreasing order. 4, y, -33 Let a be (2/4)/((-9)/18). Suppose 5*x = 3*n + 40, -x - 3*n = -4*n - 10. Suppose 17 = 3*z + w - x*w, 8 = -4*w. Sort a, 0, z in decreasing order. z, 0, a Suppose -1227*m = -1216*m - 44. Let q be -1 - 0 - (-6 - -5). Sort q, -5, m in descending order. m, q, -5 Let x(s) = -s**2 + 6*s - 7. Let k be x(7). Let l be 2/4*12/k. Put 2/7, l, 0.3 in decreasing order. 0.3, 2/7, l Let o be 2/(-10) - (-1650)/125. Put o, -3, 3 in increasing order. -3, 3, o Let y = -560 - -516. Sort -3, -1, y. y, -3, -1 Let f(b) be the first derivative of 2*b**3/3 - 5*b**2 + 3*b + 18. Let j be f(4). Put -3, j, -1 in increasing order. j, -3, -1 Let w = 133 + -132. Let p be (-1 - 1)/(45/(-3)). Sort w, -1, p, 0.3 in decreasing order. w, 0.3, p, -1 Let j = 43/3 - 131/9. Let y be (-4)/35*(2 + (-20)/24). Let z = 1 + -2. Sort y, j, z in decreasing order. y, j, z Let n = 3.4 - 0.64. Let o = n - -0.24. Sort 2, 0.4, o in descending order. o, 2, 0.4 Let l be (-15 + 5)/((-5)/2 - 0). Suppose 6*f + 51 = 39. Sort -1, f, l in decreasing order. l, -1, f Let h = 35.2 - 34.2. Let j = -0.36 - 0.04. Sort -0.2, j, h. j, -0.2, h Let b = -158 + 156. Let f be 2*(1 - 9/(-6)). Put f, 1, -3, b in decreasing order. f, 1, b, -3 Suppose 2 = 2*p - m, 7 + 4 = p - 3*m. Let u = 14 + -9. Suppose -2 = 3*w - 6*d + d, -u*w = 3*d + 26. Sort -2, w, p. w, -2, p Let a = -1 + 1. Let v = a + 1. Let m be (-28)/(-6)*(-72)/(-84). Put -1, m, v in ascending order. -1, v, m Let m = -10 + 6. Let u be (26/(-156))/((-11)/(-6) + -2). Sort m, u, 5 in descending order. 5, u, m Let h(c) = 2*c - 2. Let v be h(1). Let p(d) = d**2 + 2*d + 5. Let o be p(v). Sort 1, o, -1, 6 in increasing order. -1, 1, o, 6 Let a = -74822.99 - -74016. Let y = a + 802. Let v = y + -0.01. Sort 1.6, v, -3. v, -3, 1.6 Let f = -6.18 - -0.38. Let q = f + 5.5. Sort 4/7, q, 1/2, -1/3. -1/3, q, 1/2, 4/7 Let j = 200.84 + 0.86. Let g = j - 202. Let d = -0.1 + -0.1. Put -3/17, d, g in descending order. -3/17, d, g Let f = 1.331 + -1.431. Put 3/4, 28, -2, f in ascending order. -2, f, 3/4, 28 Suppose -10 = h + 3*u - 0*u, -h - 1
{ "pile_set_name": "DM Mathematics" }
ided by 17? 12 What is the remainder when 30 is divided by 25? 5 Calculate the remainder when 1739 is divided by 17. 5 What is the remainder when 3164 is divided by 32? 28 Calculate the remainder when 70 is divided by 36. 34 What is the remainder when 919 is divided by 92? 91 Calculate the remainder when 81 is divided by 51. 30 Calculate the remainder when 2209 is divided by 619. 352 What is the remainder when 677 is divided by 326? 25 What is the remainder when 1583 is divided by 122? 119 What is the remainder when 1030 is divided by 45? 40 What is the remainder when 2575 is divided by 1283? 9 Calculate the remainder when 289 is divided by 244. 45 What is the remainder when 8623 is divided by 115? 113 What is the remainder when 1612 is divided by 1607? 5 Calculate the remainder when 346 is divided by 9. 4 What is the remainder when 24 is divided by 1? 0 Calculate the remainder when 1622 is divided by 32. 22 Calculate the remainder when 1026 is divided by 37. 27 What is the remainder when 220 is divided by 117? 103 Calculate the remainder when 1944 is divided by 149. 7 What is the remainder when 3821 is divided by 382? 1 What is the remainder when 516 is divided by 155? 51 Calculate the remainder when 21 is divided by 11. 10 What is the remainder when 51567 is divided by 6? 3 What is the remainder when 768 is divided by 129? 123 Calculate the remainder when 1301 is divided by 56. 13 Calculate the remainder when 9706 is divided by 16. 10 Calculate the remainder when 1896 is divided by 190. 186 Calculate the remainder when 6473 is divided by 4. 1 Calculate the remainder when 119 is divided by 12. 11 Calculate the remainder when 643 is divided by 4. 3 Calculate the remainder when 111 is divided by 49. 13 Calculate the remainder when 379 is divided by 48. 43 What is the remainder when 48305 is divided by 249? 248 What is the remainder when 4912 is divided by 11? 6 What is the remainder when 2857 is divided by 99? 85 What is the remainder when 2384 is divided by 2380? 4 What is the remainder when 213 is divided by 37? 28 What is the remainder when 5779 is divided by 107? 1 What is the remainder when 594 is divided by 150? 144 Calculate the remainder when 283 is divided by 26. 23 What is the remainder when 21 is divided by 15? 6 Calculate the remainder when 403 is divided by 199. 5 Calculate the remainder when 2484 is divided by 71. 70 What is the remainder when 1606 is divided by 8? 6 Calculate the remainder when 1246 is divided by 174. 28 What is the remainder when 421 is divided by 5? 1 Calculate the remainder when 195 is divided by 26. 13 Calculate the remainder when 78 is divided by 41. 37 Calculate the remainder when 289 is divided by 30. 19 What is the remainder when 656 is divided by 22? 18 Calculate the remainder when 280 is divided by 59. 44 What is the remainder when 52 is divided by 17? 1 What is the remainder when 164 is divided by 49? 17 Calculate the remainder when 59 is divided by 15. 14 What is the remainder when 297 is divided by 49? 3 Calculate the remainder when 1339 is divided by 364. 247 What is the remainder when 288 is divided by 49? 43 Calculate the remainder when 2020 is divided by 227. 204 What is the remainder when 2406 is divided by 105? 96 What is the remainder when 316 is divided by 33? 19 What is the remainder when 1207 is divided by 247? 219 What is the remainder when 1168 is divided by 45? 43 What is the remainder when 4942 is divided by 16? 14 Calculate the remainder when 579 is divided by 21. 12 Calculate the remainder when 255 is divided by 52. 47 What is the remainder when 879 is divided by 190? 119 What is the remainder when 636 is divided by 1? 0 Calculate the remainder when 302 is divided by 97. 11 What is the remainder when 35 is divided by 8? 3 Calculate the remainder when 17 is divided by 14. 3 What is the remainder when 333 is divided by 116? 101 Calculate the remainder when 107 is divided by 33. 8 What is the remainder when 162 is divided by 154? 8 What is the remainder when 8866 is divided by 48? 34 What is the remainder when 195 is divided by 9? 6 What is the remainder when 123 is divided by 76? 47 Calculate the remainder when 615 is divided by 3. 0 Calculate the remainder when 569 is divided by 7. 2 Calculate the remainder when 56 is divided by 48. 8 What is the remainder when 615 is divided by 17? 3 Calculate the remainder when 424 is divided by 25. 24 What is the remainder when 354 is divided by 93? 75 Calculate the remainder when 5133 is divided by 42. 9 What is the remainder when 5979 is divided by 68? 63 What is the remainder when 73 is divided by 13? 8 What is the remainder when 2276 is divided by 34? 32 Calculate the remainder when 3710 is divided by 64. 62 What is the remainder when 58629 is divided by 28? 25 Calculate the remainder when 291 is divided by 37. 32 What is the remainder when 1452 is divided by 27? 21 Calculate the remainder when 99 is divided by 3. 0 What is the remainder when 57 is divided by 15? 12 Calculate the remainder when 957 is divided by 263. 168 Calculate the remainder when 64 is divided by 48. 16 Calculate the remainder when 84 is divided by 17. 16 What is the remainder when 782 is divided by 113? 104 Calculate the remainder when 74 is divided by 9. 2 Calculate the remainder when 1209 is divided by 135. 129 Calculate the remainder when 812 is divided by 34. 30 Calculate the remainder when 23144 is divided by 36. 32 Calculate the remainder when 2187 is divided by 11. 9 What is the remainder when 772 is divided by 86? 84 What is the remainder when 107 is divided by 95? 12 Calculate the remainder when 2654 is divided by 5. 4 What is the remainder when 19 is divided by 2? 1 What is the remainder when 183 is divided by 32? 23 Calculate the remainder when 72 is divided by 29. 14 What is the remainder when 16126 is divided by 42? 40 What is the remainder when 389 is divided by 94? 13 Calculate the remainder when 783 is divided by 16. 15 Calculate the remainder when 66 is divided by 13. 1 Calculate the remainder when 1144 is divided by 144. 136 Calculate the remainder when 1773 is divided by 126. 9 What is the remainder when 357 is divided by 163? 31 Calculate the remainder when 3428 is divided by 132. 128 What is the remainder when 563 is divided by 12? 11 What is the remainder when 1135 is divided by 169? 121 What is the remainder when 141 is divided by 23? 3 Calculate the remainder when 84 is divided by 25. 9 What is the remainder when 3477 is divided by 49? 47 Calculate the remainder when 2635 is divided by 4. 3 What is the remainder when 171 is divided by 48? 27 What is the remainder when 3490 is divided by 348? 10 Calculate the remainder when 1168 is divided by 291. 4 What is the remainder when 579 is divided by 5? 4 What is the remainder when 311 is divided by 6? 5 Calculate the remainder when 1700 is divided by 155. 150 Calculate the remainder when 924 is divided by 30. 24 What is the remainder when 2546 is divided by 49? 47 What is the remainder when 4164 is divided by 35? 34 Calculate the remainder when 65 is divided by 27. 11 What is the remainder when 323 is divided by 36? 35 Calculate the remainder when 1031 is divided by 93. 8 What is the remainder when 171 is divided by 72? 27 Calculate the remainder when 157 is divided by 2. 1 Calculate the remainder when 438 is divided by 113. 99 What is the remainder when 400 is divided by 66? 4 Calculate the remainder when 742 is divided by 282. 178 Calculate the remainder when 369 is divided by 134. 101 Calculate the remainder when 558 is divided by 112. 110 What is the remainder when 14 is divided by 5? 4 What is the remainder when 230 is divided by 30? 20 What is the remainder when 5436 is divided by 170? 166 Calculate the remainder when 67 is divided by 15. 7 What is the remainder when 653 is divided by 33? 26 Calculate the remainder when 410 is divided by 68. 2 Calculate the remainder when 19534 is divided by 296. 294 What is the remainder when 154 is divided by 147? 7 Calculate the remainder when 748 is divided by 176. 44 What is the remainder when 60 is divided by 23? 14 What is the remainder when 109 is divided by 53? 3 What is the remainder when 2589 is divided by 54? 51 What is the remainder when 168 is divide
{ "pile_set_name": "DM Mathematics" }
(b) -3.9 (c) -1.3 (d) -5 c Which is the closest to -21361? (a) 0 (b) 2/3 (c) 0.1 (d) -0.2 d What is the closest to 0 in -5, 5/2, -4/9, 2/15, -2? 2/15 What is the closest to 3/658 in 1, -1/3, 6? -1/3 Which is the nearest to -2/5? (a) 7650 (b) -2/5 (c) -12 b What is the nearest to 9 in 190, -1/2, -2/13? -2/13 What is the closest to 1 in -8949, 0, -1.6, -3? 0 What is the closest to 2/35 in -0.11, 1/2, 4/7, -0.4, -57/2? -0.11 What is the nearest to -5 in -2/5, 0.05, 16.8? -2/5 Which is the nearest to -2/9? (a) -4/3 (b) 0.3 (c) -17/22 b Which is the closest to 5? (a) -0.141 (b) 2/13 (c) -10 b What is the nearest to 0.048 in 579, 2, -0.5? -0.5 Which is the closest to 0.4? (a) 2/23 (b) 0.2 (c) -0.4 (d) -5 b Which is the closest to -0.6? (a) -0.044 (b) 0 (c) 0.145 a What is the nearest to -1/4 in -1747, -1, 4? -1 What is the nearest to 1 in -0.3, 117/7, 3/4, -5? 3/4 Which is the closest to 136? (a) -0.01 (b) -2/33 (c) -1/3 a What is the nearest to -2 in 1/7, 1, 0.2, 140? 1/7 What is the closest to 2/5 in 2/11, -707, 2? 2/11 Which is the nearest to -1/34? (a) -1/7 (b) 3/8 (c) -2 (d) 15.4 (e) 1/6 a What is the nearest to 0.4 in -9.2, -0.5, 0.1, -12, 2/21? 0.1 What is the closest to -47.4 in -0.3, -5, -0.24? -5 Which is the nearest to -35/824? (a) -0.6 (b) 4/7 (c) 4 (d) 5 a What is the closest to 325 in -6, 3, -3/2, -5? 3 Which is the closest to -1/2? (a) -0.5 (b) -0.05665 (c) 4/7 (d) 5 (e) -2/11 a What is the nearest to -2/221 in 5, -107, -10, 1/2? 1/2 What is the closest to 1 in -14, 0, -63, 4, 2/15? 2/15 Which is the closest to -3786? (a) -5 (b) -2/9 (c) 0.2 a Which is the closest to 0.91? (a) 3 (b) 9 (c) 0.1 c Which is the nearest to 0.4? (a) 232 (b) -0.01 (c) 2 (d) -2/9 b What is the closest to 1/8 in -1, -4, -1/6, 8? -1/6 What is the nearest to -0.1 in -77/8, 5, 0.8? 0.8 Which is the nearest to -0.1? (a) -24 (b) 0.5 (c) 1 (d) 8/3 b What is the nearest to 0 in -0.4, 0.0409, -2/17? 0.0409 What is the nearest to -1/2 in -8/9, -1, -551? -8/9 What is the closest to 20/7 in 3, 2/27, -1/11? 3 Which is the closest to -207? (a) 3 (b) -3 (c) 0.1 (d) 2.43 (e) -0.5 b Which is the closest to 1.6? (a) 0.2 (b) 0 (c) 4/3 (d) -0.37 c Which is the closest to -665? (a) -1 (b) 8/7 (c) 3 a What is the closest to -2/3 in -620, -1/3, -2, 2/9? -1/3 Which is the closest to -1/5? (a) -0.4 (b) -0.3 (c) 1.175 (d) 2/41 b Which is the nearest to -2/7? (a) -48 (b) 3/7 (c) 5/2 (d) 1/3 d Which is the closest to 2? (a) -107 (b) -0.2 (c) -1.3 b Which is the nearest to 0.1? (a) -5 (b) -3/67 (c) 1.5 b What is the closest to -3 in -1/5, 345, -1/2, -4/3? -4/3 Which is the nearest to -11/2? (a) -3 (b) 1/39 (c) -0.2 (d) 11.2 a Which is the nearest to 2/3? (a) -3 (b) 0 (c) -4/13 (d) -118 b Which is the nearest to -63? (a) -0.003 (b) -1/5 (c) 0.5 b What is the nearest to 2 in 127, -2/11, -2/17, -1? -2/17 What is the closest to -4/11 in 1/6, -1/80, 2/9, -57, -2/7? -2/7 What is the closest to 0.2 in 2, -49, -0.68, -2/9? -2/9 Which is the nearest to 0? (a) 298/3 (b) -0.01 (c) -12/17 (d) 0.2 b Which is the nearest to 8? (a) -2/9 (b) 0.1099 (c) 0.3 (d) 0.1 c What is the nearest to 0.7 in -17/7, 5, 16, -2? -2 Which is the closest to 0.4? (a) 1.22 (b) -2 (c) 6 a Which is the closest to -1? (a) -10/9 (b) 1/3 (c) -2162 a Which is the closest to -0.035? (a) 1/447 (b) 0.4 (c) -3 (d) -2 a What is the closest to 0.1 in -0.1183, 0.1, 3, -14? 0.1 Which is the nearest to 156? (a) -1/59 (b) 0.4 (c) -0.5 (d) 0.05 b Which is the nearest to -3/4? (a) 3 (b) -208/55 (c) -2/9 c Which is the closest to -294/253? (a) 0.5 (b) 0.3 (c) 3/4 (d) 0.2 d Which is the closest to -2.24? (a) -0.2 (b) 4 (c) -3 c Which is the nearest to -1? (a) 2 (b) 26 (c) -0.2 (d) 2668 (e) -1/8 c Which is the closest to -3/8? (a) 207/10 (b) -5/2 (c) 3/2 c Which is the nearest to -16? (a) 100 (b) -5 (c) 12 b Which is the nearest to 1/2? (a) -0.4187 (b) 2 (c) 3 (d) -4 (e) 0.13 e Which is the closest to -3? (a) -3 (b) -0.5 (c) -8 (d) -0.28 a Which is the nearest to 1? (a) 3 (b) 0.6 (c) 3/8 (d) -0.088 b What is the closest to 7 in 5, -379, 2/13, -4? 5 What is the nearest to 5/6 in 0.0195, -0.2, -1, -4? 0.0195 What is the closest to 0 in -50, 4/7, -3, 4? 4/7 Which is the nearest to 1? (a) 2 (b) -1/7 (c) -0.015 (d) 32 (e) -0.03 a Which is the closest to -3/11? (a) -5 (b) 0.4 (c) 4/47 (d) -2 c What is the closest to 73 in -2/29, 2, -5/3? 2 What is the closest to 3 in -0.2, 1/24, -26? 1/24 Which is the nearest to 2? (a) 0.5 (b) 6 (c) -4 (d) 2/17 a Which is the nearest to -1? (a) -111 (b) 12 (c) -2/11 c What is the nearest to -0.22 in -0.018, -1, -2/7, 2, 0.2? -2/7 What is the nearest to 2 in 70, 7/4, -2/23, -18? 7/4 What is the nearest to -24039 in 1/5, 5, -5? -5 Which is the nearest to -148? (a) -0.136 (b) 0 (c) 1/2 a What is the closest to 1 in 3, -2/7, 491? -2/7 Which is the closest to 6? (a) -1 (b) -1/19 (c) -1/5 (d) 0.5 (e) 391 d What is the nearest to 0 in -3/8, 0.012, 0.4, -136? 0.012 What is the closest to 3/4 in 5, -2, -518588? -2 Which is the closest to -2283? (a) 0.043 (b) 0 (c) -1 (d) 2/3 c What is the closest to -0.1 in 84, 1/3, -34, 0.2, 3? 0.2 Which is the closest to 3/2? (a) 25 (b) 0.5 (c) 0.2 (d) 1 d What is the closest to -0.11 in -1, -1090, 1/2? 1/2 What is the closest to -0.3 in 4, 0.1, -2, 3/16, -8/23? -8/23 Which is the nearest to -3? (a) 2/9 (b) 27.66 (c) 1/2 a What is the closest to -2/5 in -523, -2, 2/7, 1? 2/7 Which is the nearest to -7? (a) 3/4 (b) 5 (c) -1 (d) 2 (e) -12 e Which is the nearest to 1? (a) 2 (b) 2/13 (c) -8 (d) 5/9 (e) -44 d Which is the closest to 17? (a) -1/3 (b) -8/13 (c) 0.069 (d) 2 d Which is the closest to -1/2? (a) 0.4 (b) -2/5 (c) -769 (d) 4 b What is the closest to 36 in 0.5, 1, -29.1? 1 What is the closest to -0.3 in -1, -4963, 0? 0 Which is the closest to 466? (a) 0.1 (b) 0 (c) -0.02 a Which is the nearest to 99.3? (a) 2 (b) 0.3 (c) -0.4 (d) -12 a What is the nearest to -2 in 7, 5/4, 0.09, -5? 0.09 Which is the nearest to 1/3? (a) 70 (b) 1/5 (c) -1 (d) -4 (e) -0.23 b Which is the closest to -3? (a) -2/5 (b) 1/32 (c) -1/2 (d) 66 c Which is the nearest to -5/8? (a) -5 (b) -3 (c) -0.9 (d) -10 c What is the closest to -1 in -0.03, -0.05979, -0.1? -0.1 What is the closest to 3/4 in -0.29, -0.1, 2, 2/19? 2/19 Which is the closest to 1? (a) -2/47759 (b) 0.5 (c) 0.2 b Which is the closest to -0.04? (a) 16 (b) -2/7 (c) 5 (d) 0.5 (e) 45 b Which is the closest to -0.04? (a) -5 (b) -4/3 (c) -0.0624 c Which is the nearest to 36/7? (a) -9 (b) -0.2 (c) -0.3 b What is the closest to -12 in 2/5, 38, 0.03? 0.03 Which is the nearest to -3/187? (a) -0.3 (b) 0.59 (c) 2 a Which is the closest to 2/3? (a) 7.07 (b) 0.5 (c) 0 b What is the nearest to 1 in 50, 0, 1/11, -18, -2? 1/11 What is the closest to 4 in 5/4, -0.3, 0, 157, -3? 5/4 What is the nearest to -1/2 in -0.4, 5, -6.77, -3/2, -2? -0.4 What is the nearest to -24/5 in -1, -0.1, 0.5, 2/13? -1 Which is the nearest to -8407? (a) 0.1 (b) 3/4 (c) -0.4 c What is the closest to 0.25 in 2, 2/129, 7, -2? 2/129 Which is the closest to -0.5? (a) 1 (b) 0.3 (c) -74.89 b Which is the closest to 0.3? (a) -1/4 (b) 0.2611 (c) -1/13 b Which is the nearest to 0.1708? (a) 2/15 (b) 11 (c) 1/4 a What is the closest to -10/93 in -4, 34, 3/4, 5, -0.2? -0.2 Which is the nearest to -1? (a) 4 (b) 3/4276 (c) -0.1 c Which is the nearest to 2/5? (a) 5/2 (b) -53/7 (c) -3/7 (d) 4 c What is the closest to -7/8 in 4, -8, 66.6, 0? 0 Which is the closest to -3? (a) 6 (b) -2 (c) -14 (d) 2 b What is the closest to 26 in 287, 2/25, 4/9? 4/9 Which is the closest to -0.2? (a) -3 (b) -1/11 (c) 0.4 (d) 7105 b What is the closest to 2/9 in 0.01, -0.1, 77, 4, -3? 0.01 What is the closest to 3 in 1.4, -1/5, -0.018? 1.4 Which is the closest to -1/3? (a) 151.1 (b) -3 (c) -0.8 (d) 3/2 c What is the closest to 3/2 in 0, -2/5, -3, -2376, 0.3? 0.3 What is the closest to 0.03 in 96, 4, -13, 5? 4 What is the nearest to 10 in 1/2, -0.5, -20, -1? 1/2 Which is the nearest to 5? (a) 0.5 (b) -11 (c) -0.2 (d) 15.3 (e) 2/5 a Which is the closest to
{ "pile_set_name": "DM Mathematics" }
. 88 What is the lowest common multiple of 81*(7 - 0 - 57/9) and 66? 594 Let t(m) = 49*m - 103. Let v be t(2). What is the lowest common multiple of 48 and (0/v)/(-14) - (1 + -13)? 48 Calculate the common denominator of -77/208 and ((-177)/1300)/(32/40) - (-6)/(-30). 208 Let t = 3695 - 240181/65. What is the common denominator of t and 89/70? 910 Suppose -6*h = -8*h - 3*i - 905, 3*h = -5*i - 1359. Let j = h - -518. Calculate the least common multiple of 10 and j. 70 Calculate the smallest common multiple of 4252 and 3/6*(2 - 1)/((-26)/(-624)). 12756 Let v be -5 + 2 - (-5 + 2). Suppose -2*q + 6*q = 32. Suppose v*a - 4*l = 4*a - q, 4*a - 5*l = -1. What is the lowest common multiple of 34 and a? 34 What is the common denominator of 14/2 + ((-1275018)/2520)/73 and -19/48? 1680 Suppose -5*q - 20 = -4*f + 3*f, f - 17 = 4*q. What is the least common multiple of 22 and (-108)/(-72)*(-328)/q? 1804 Let c = 1509221/460 - 16404/5. Calculate the common denominator of c and 131/920. 920 What is the common denominator of (-435)/(-21)*(10 - (-28773)/(-2880)) and 53/168? 1344 Suppose -50 + 60 = p. Suppose -3*i + 4*q = q - 30, -2*i + 5 = q. What is the least common multiple of i and p? 10 Let g be (-21)/1899*(1 - 115). Let r = 26869/6752 - g. Calculate the common denominator of r and 15/52. 416 Let d(c) = c - 27. Let x = -103 + 102. Let b be (x/(2/90))/((-180)/120). What is the smallest common multiple of 2 and d(b)? 6 Let b = 228 + -67. Suppose 2*l + 73 = b. Calculate the least common multiple of l and 36. 396 Let p(m) = 3*m**3 + 4*m**2 - 2*m - 6 - 6*m**3 - 3*m**3. Let j be p(-2). What is the common denominator of ((9/12)/1)/((-3)/j) and -61/8? 8 Suppose -2*z + 73 = -3*z. Let m = z + 73. Calculate the smallest common multiple of 1*(m - -2) + (20 - 0) and 22. 22 Let b = -104 + 107. Calculate the smallest common multiple of 6 and 1*b/(-4)*-4. 6 Let x(h) = -2*h**3 + 13*h**2 + 5*h + 16. Let v be x(7). Suppose -b = v*i - 51, 2*b - 35 = 2*i + 79. Calculate the smallest common multiple of 60 and b. 660 Let z = 14533/90 + -1450/9. What is the common denominator of (-593)/(-30) + (-12)/(-30) and z? 30 Let g(r) be the first derivative of r**3/3 + 15*r**2 - 43*r + 124. Calculate the lowest common multiple of 30 and g(-34). 930 Let k(p) = -p**2 - 2*p - 14. Let u be k(-8). Suppose 0*g + 36 = 2*g - 3*h, 0 = 3*g - h - 40. Find the common denominator of -68/9 and 24/(-108) + u/g. 18 Let h = -3522905 + 28135371/8. Let l = 5976 + h. Let i = 2/17 - 83/272. Find the common denominator of l and i. 16 Let g = -5477 + 5497. Calculate the lowest common multiple of 1888 and g. 9440 Suppose 21*c = 14*c + 14. What is the lowest common multiple of 7 and (3 - 0)*((-4)/c - -5)? 63 Let d = 6784753/126 + -53848. Let n = -8551/10703 + 51/1946. Find the common denominator of n and d. 1386 Let n = -5878967/60 + 97985. Find the common denominator of ((-1768)/5100)/(1*12/(-5))*(8 + -1) and n. 180 Let a(r) = 2*r**3 + r**2 + 112. Let i be a(0). Calculate the least common multiple of (10 + 1)/(14/i) and 22. 88 Suppose -5*r + 8 = -3*r. Calculate the lowest common multiple of -11 - ((-15)/((-255)/136) + -65) and r. 92 Suppose 31*g - 43785 = -108*g. Calculate the smallest common multiple of g and 665. 5985 Let p = 19 - -5. Calculate the lowest common multiple of p and (3570/(-15))/(-14) + (-4)/(-4). 72 Let a(b) = -b**2 + 16*b - 18. Let g be a(14). Suppose -h - y = -26, 5*y - g = -30. What is the smallest common multiple of h and 3? 30 Let v be 63172 - (-6)/18*-24. Let r = 7958621/126 - v. Calculate the common denominator of 9/70 and r. 630 Let u(s) = -6 - 3*s**2 + 9 - s + 7 + 4*s**2. Suppose j + c + c - 7 = 0, -2*j = 5*c - 14. Calculate the least common multiple of j and u(0). 70 Suppose 0 = 2*x - 6*x + 20. Let c = 3 + 8. Suppose c*b - x*b = 156. What is the least common multiple of b and 3? 78 What is the common denominator of -103/92 and 19838/(-2080) - -1*8? 1840 Suppose 842*p - 840*p + 4 = 0, 4*p = 2*f - 74. What is the smallest common multiple of f and 781? 2343 Suppose 2*c + 3*a + 2 - 81 = 0, -229 = -5*c + 3*a. Suppose -5*u = -c - 66. What is the least common multiple of u and 78? 858 Let r = 157049/42 + -3739. Calculate the common denominator of r and 19/194. 4074 Let b be -17464 - (-8)/2 - (-3 + 3). Let a = b - -418981/24. What is the common denominator of a and 648/(-8)*(0 - 3/30)? 120 What is the common denominator of 71/748 and (-1)/119*(36 - (-520)/(-32))? 5236 Find the common denominator of 103/276 and (806/4960)/((-96)/(-50) + -2). 2208 What is the common denominator of 139/2082 and (-1626)/234 - (2 - 49/7)? 27066 Let j = -22853453/4995 - -65432/555. Let z = 4458 + j. Calculate the common denominator of z and -26/3. 27 Let u = 12202 + -11754. What is the least common multiple of 1344 and u? 1344 Let b = -83263/486496 - 1/21152. What is the common denominator of -9/148 and b? 13616 Suppose -3*s + 134 = -w + 97, 4*s - 2*w = 46. Calculate the common denominator of s and -52/35. 35 Let x = 28425/8 - 3562. What is the common denominator of x and -43/318? 1272 Let z be -5 + 212/32 - (-3)/8. Calculate the lowest common multiple of 6 + z - 9 - -9 and 52. 104 Let q = 53 - 42. Let b be (-180)/12*3/(-1). Let c = b + -42. Calculate the lowest common multiple of q and c. 33 Let k = 246 - 65. Suppose -2*h + 4*a = h - k, 2*h - 123 = 5*a. Let y = 73 - h. What is the least common multiple of 20 and y? 140 Let s be 2*3/12*-105082. Let n = s - -2206597/42. Calculate the common denominator of n and 34/63. 126 Calculate the lowest common multiple of 1380 and 11316/205*(320/(-12))/(-4). 5520 Suppose 0 = 5*k - 2*m - 1882, 72 - 442 = -k + 2*m. What is the least common multiple of 432 and k? 3024 Let g(a) = 3*a + 20. Calculate the least common multiple of -483*7/(-84) - 2/8 and g(16). 680 Let s(i) = 17*i + 877. What is the least common multiple of 225 and s(-41)? 900 Let c = -19/89 + 8213/534. Calculate the common denominator of c and 51/20. 60 Suppose -4*s - 8536 = -2*o, -8541 = -2*o + 4*s - s. Suppose -o = -36*x + 474. What is the least common multiple of 28 and x? 924 Suppose -23958 - 2538 = -52*n + 29*n. What is the smallest common multiple of n and 1152? 1152 Let w = -15987 - -16764. What is the smallest common multiple of w and 222? 1554 Let o = 49 + -45. Let c be 4 + o + 3 + -7. What is the common denominator of 101/44 and (-461)/70 - 4*c/80? 308 Suppose -102 = s - 133. Suppose -4*h = r - 73, -3*h + h = -5*r - s. What is the least common multiple of 15 and h? 90 Suppose 57*c - 97*c - 4419 = -11699. What is the smallest common multiple of 52 and c? 364 Let l be 4 - (-2211)/(-6) - (-10)/4. Calculate the common denominator of 2/(-5)*5/(-9) and (-8)/(-960)*-2*l. 90 Let y = 97/20 - -17/5. Suppose 16 = m + 4*i, -5*i + 19 = -6. Find the common denominator of y and m - (-2)/(-48)*(2 - 5). 8 Suppose -a - 3*f = 10152, -4*a + 6*f = 7*f + 40608. Let h = 142055/14 + a. Calculate the common denominator of h and 81/22. 154 Suppose -m - 1986 = -c, -88*c + 5*m - 8025 = -92*c. What is the smallest common multiple of c and 798? 3990 Suppose -3115 = 3*m + u, -23*u + 20*u = -2*m - 2095. What is the common denominator of 4537/m - -3*1 and -149/30? 240 Calculate the common denominator of 1142/319 - (-3696)/(-1056) and -17/348. 3828 Let d = 41 - 41. Let r be -1 - 123/(d - -3). Let t = r + 44. Calculate the smallest common multiple of t and 54. 54 Calculate the common denominator of -7 - (27/(-45) - (-392)/20) and -6/155. 155 Suppose 25 = -5*w - 4*m, 0 = 5*w + 5*m + 18 + 7. Suppose 134 = 7*a - 34. Calculate the common denominator of 29/4 and a/140 + 3/w. 28 Suppose -8547279 = t - 5*t - 5*j, 4*j = 2*t - 4273620. Let h be (-645292)/t + 6/(-27). Let y = h + 2/1349. What is the common denominator of -41/18 and y? 396 Let u = 324 - 284. What is the common denominator of 25/27 and (61/(-2))/(60/u)? 27 Suppose 0 = -8*a + 6*a - 4. What is the common denominator of -31/12 and (a/(-40))/(22/(-1364))? 60 Let a(g) = 6*g**2 - 55*g - 51. Let u be a(21). Suppose -18*q - 12*q = -u. What is the lowest common multiple of q and 42? 336 Suppose -154820 = -69*b + 32083 - 37863. What is the lowest common multiple of b and 24? 2160 Suppose 20 - 9 = -d + 3*r, -d = r - 25. Find the common denominator of d and 49/10 - 2/(-2). 10 Calculate the least co
{ "pile_set_name": "DM Mathematics" }
-h**2 - 3*h - 2. Determine v*s(o) - 6*p(o). o**2 - 2*o + 2 Let x(g) = 2*g - 28. Let p(u) = u + 2. Determine -5*p(i) + x(i). -3*i - 38 Let c(u) = -6*u + 8. Suppose 2690 = -10*a + 15*a. Let q(t) = 539 - t + 0*t - a. Determine -c(l) + 8*q(l). -2*l Suppose 4*c - 5*t + 14 = 0, -5*c - 3 = -8*c - 3*t. Let m(d) = 9*d - 54. Let x(i) = -1. Calculate c*m(j) + 54*x(j). -9*j Let z(o) = 3*o**2 - 6*o + 7. Let y(c) = -6*c**2 + 9*c - 13. Calculate -3*y(j) - 5*z(j). 3*j**2 + 3*j + 4 Let v(k) = -2. Let h(g) = -39*g + 4. Determine -h(r) - 4*v(r). 39*r + 4 Suppose -11 = -10*k - 61. Let w(f) = -4*f**2 + 3*f - 3. Let r(t) = t**3 + 7*t**2 - 5*t + 5. Give k*w(a) - 3*r(a). -3*a**3 - a**2 Let b(j) = 1096*j**3 + 12*j**2 + 12*j + 6. Let i(t) = -497585*t**3 - 5450*t**2 - 5450*t - 2725. Calculate -2725*b(x) - 6*i(x). -1090*x**3 Let d(o) = -20*o - 497. Let b be d(-25). Let n(q) = -10*q + 16. Let c(w) = -2*w + 3. Let x(y) = 16*c(y) - 3*n(y). Let t(z) = -z. Determine b*t(s) - x(s). -s Let b(p) = -3*p**3 + 6*p**2 + 12*p + 98. Let q(m) = 3*m**3 - 7*m**2 - 14*m - 97. What is 7*b(n) + 6*q(n)? -3*n**3 + 104 Let g(d) = 5*d + 13. Let s(r) = -r - 1. Calculate -g(w) - 2*s(w). -3*w - 11 Let c(d) = -2*d**3 - 77*d**2 + 2*d + 2. Let h(k) = -k**2 + k + 1. Determine -c(s) + 2*h(s). 2*s**3 + 75*s**2 Let b be 32/(-28) - (-4)/28. Let x(r) = -5*r - 1. Let z be x(b). Let o(i) = -i. Let w(p) = 2*p**2 - 4*p. Give z*o(u) - w(u). -2*u**2 Let b(r) = 9*r + 8. Let p be (2 - 36/20)/(6/(-30)). Let i(j) = -j - 1. Calculate p*b(t) - 6*i(t). -3*t - 2 Let s(g) = -g - 3. Suppose -10 = -2*f + 2*o - 4*o, 5*o = -20. Let v(z) = -2*z. Let t be v(-1). Let c(k) = -3 - 2 - 2*k - t. Determine f*s(w) - 4*c(w). -w + 1 Let u(g) be the third derivative of 0 + 0*g - 1/60*g**5 - 1/4*g**4 + 17*g**2 + 1/3*g**3. Let j(b) = -b + 1. What is -4*j(r) + u(r)? -r**2 - 2*r - 2 Let j be 2 - (-2 + (-7 - -5)). Let v(y) = 4*y + 2. Let c(n) = 9*n + 5. Give j*c(z) - 13*v(z). 2*z + 4 Let h(o) = 55*o**3 - 13. Let q(j) = -2. Give -h(d) + 2*q(d). -55*d**3 + 9 Let k(d) = d**3 - 2*d**2 + d. Let h(p) = -p**3 + p**2 - 1. Suppose 0 = -36*z - 30 - 42. Give z*h(n) - k(n). n**3 - n + 2 Let g(u) be the third derivative of -u**4/8 + u**3/3 + 6*u**2. Let a(i) = 2 - 9 - 2*i - 1 + 10. Calculate 5*a(r) - 4*g(r). 2*r + 2 Let n(c) = -17*c**2 + 160*c + 8. Let s(t) = -6*t**2 + 54*t + 3. Determine 3*n(h) - 8*s(h). -3*h**2 + 48*h Let f(v) = -2*v + 7. Let i(q) = -q + 3. Let s be ((-4)/5)/((-189)/(-35) + -5). Let j(r) = s*f(r) + 5*i(r). Let d(n) = n - 2. Determine d(p) + 3*j(p). -2*p + 1 Let f(u) = 12*u**2 - 3*u. Let x(k) = -13*k**2 + 2*k. Let b be (56/16 - 4)*-6. Determine b*x(c) + 2*f(c). -15*c**2 Let u(c) = -2*c - 5. Let g(a) = -3*a - 6. Let v be (1/5)/((-18)/(-270)). Calculate v*g(h) - 4*u(h). -h + 2 Let d(c) = 12*c**2 - 17*c + 2. Let p(o) = -50*o**2 + 69*o - 9. Give 9*d(h) + 2*p(h). 8*h**2 - 15*h Let p(v) = 2*v**3 - 3*v**2 - 3*v - 3. Suppose 0 = f - 4*t - 15, 4*f + t + 4 = 13. Let z(i) = -4*i**3 + 6*i**2 + 7*i + 6. Calculate f*z(m) + 7*p(m). 2*m**3 - 3*m**2 - 3 Let o = 549 - 543. Let r(l) = -6*l**2 + 6*l. Let z(g) = g**3 + 17*g**2 - 17*g. What is o*z(m) + 17*r(m)? 6*m**3 Let q be ((-72)/16)/(-9)*24/(-4). Let x(c) = -c**3 - 4*c**2 + 3*c + 3. Let b(l) = l**3 + 3*l**2 - 2*l - 3. Calculate q*b(h) - 2*x(h). -h**3 - h**2 + 3 Let n(m) = -2*m**3 + 4*m**2 + 1. Let d(s) = 2*s**3 - 5*s**2 - 1. Suppose 44*q - 59*q = 90. What is q*n(h) - 5*d(h)? 2*h**3 + h**2 - 1 Let j(s) = -3*s**2 - s - 1. Let l(i) = -11*i**2 - 4*i - 4. Let z(c) = -4*j(c) + l(c). Let f(r) = -5*r. Give f(d) - 2*z(d). -2*d**2 - 5*d Let p(i) = 15720*i**2 + 65*i + 130. Let o(r) = 1429*r**2 + 6*r + 12. Give 65*o(h) - 6*p(h). -1435*h**2 Let c(y) = -9*y - 105. Let t(r) = -20*r - 211. Give 9*c(j) - 4*t(j). -j - 101 Let h(w) = -12*w - 10. Let a(o) = -34*o - 30. Determine 5*a(j) - 14*h(j). -2*j - 10 Let q(w) = 10*w**2 + 239*w. Let i(z) = -2*z**2 - 2*z. Calculate 6*i(l) + q(l). -2*l**2 + 227*l Let j(c) be the first derivative of 2*c**2 + 9*c + 3. Let y = 57 + -57. Suppose -10*f + 7*f - 18 = y. Let n(r) = -r - 1. Determine f*n(s) - j(s). 2*s - 3 Let c(v) = -6*v**3 - 5*v**2 - 10*v + 7. Let r(q) = -q**3 - q**2 + 1. Determine -c(l) + 5*r(l). l**3 + 10*l - 2 Let d(z) be the second derivative of 0*z**3 - 3/2*z**2 - 1/3*z**4 + 0 + 1/10*z**5 - 12*z. Let r(k) = 2*k**3 - 5*k**2 - 3. Calculate -5*d(y) + 4*r(y). -2*y**3 + 3 Suppose -5*b + b = -12. Let r(z) = -5*z**b - z + 10*z - 3*z - 4*z. Let l(p) = -21*p**3 + 9*p - 1. What is -2*l(j) + 9*r(j)? -3*j**3 + 2 Let t(n) be the second derivative of n**5/20 + 7*n**4/12 + n**3 - 3*n**2/2 + n. Let b(v) = v**2 + v - 1. Calculate -6*b(r) + t(r). r**3 + r**2 + 3 Let j(i) = i**3 - i**2 + i - 1. Let v = -9 + -42. Let o = 50 + v. Let p(n) = -2*n**3 + 6*n**2 - 6*n + 5. What is o*p(l) - 6*j(l)? -4*l**3 + 1 Let k(q) = -1143*q**2 + 5 + 1137*q**2 + q - 7. Let t(b) = 6*b**2 + 1. Determine -2*k(m) - 3*t(m). -6*m**2 - 2*m + 1 Let m = 1 - -4. Let v = 29 + -40. Let w(g) = g**2 - 6*g. Let q(c) = 6*c**2 - 31*c. Let i(s) = v*w(s) + 2*q(s). Let j(d) = 2*d**2 + 5*d. What is m*i(n) - 4*j(n)? -3*n**2 Let j(c) = 10*c - 35. Let y(n) = n**2 - 6*n - 23. Let r be y(9). Let p(m) = m - 4. Determine r*j(x) - 35*p(x). 5*x Let y(b) = -2*b**2 - 2*b - 86. Let h(z) = 5*z**2 + 4*z + 172. Give -3*h(j) - 7*y(j). -j**2 + 2*j + 86 Let k(u) = u. Let d = -2 - -8. Let c(v) = -1 - 15470*v + 1 + 15469*v. Calculate d*k(w) + 5*c(w). w Let v(y) = y - 3*y + y. Let u(r) = 5*r**2 + 45*r - 5. Let w(j) = -j**2 - 17*j + 2. Let q(l) = -2*u(l) - 5*w(l). Calculate q(n) - 5*v(n). -5*n**2 Let b(t) = -7*t**2 + 3*t + 5. Let y be ((-3)/(-1))/(3/5). Suppose -y*g = -13 + 3. Let h(s) = -7*s**2 + 4*s + 8*s**g - 11*s**2 + 7. What is 7*b(p) - 5*h(p)? p**2 + p Let h(j) = -3*j - 5. Let s be (8/14)/((-8)/(-28)). Suppose -4*f = 4*l, -2 = l + 2*f + s. Let c(z) = -2*z - 4. Calculate l*h(n) - 5*c(n). -2*n Suppose x - 2*x = -6. Let q(c) = -c. Let y(p) be the second derivative of 1/2*p**2 - 58*p + 0 - 2/3*p**3. Calculate x*q(h) - y(h). -2*h - 1 Let w(s) = 1. Let d(u) = -9*u**2 + 2. Give -5*d(k) + 10*w(k). 45*k**2 Let y(r) = -4*r + 6. Let m(x) = 42 - 24 - 19. Calculate -8*m(t) - y(t). 4*t + 2 Suppose -n = -1 + 3. Let j(u) = -11*u + 1. Let l be j(2). Let c = 24 + l. Let b(o) = o**2 - 4*o. Let s(z) = 2*z**2 - 5*z. What is c*b(f) + n*s(f)? -f**2 - 2*f Let i(c) = 20. Let n(q) = -17. Let h(d) = 6*i(d) + 7*n(d). Let u(g) = -g + 2. Calculate -5*h(r) + u(r). -r - 3 Let g(o) = 2*o**3 - o**2 - 6*o. Let z(m) = -m**3 + m**2 + 4*m. Suppose -53*t = -49*t + 20. What is t*g(q) - 7*z(q)? -3*q**3 - 2*q**2 + 2*q Let t(v) = -2*v**3 - 3*v**2 + 2*v - 1. Let a(h) = 8*h - 1 - 4*h + 3*h**3 - 5*h**2 - 7*h**3 - h. Let p = -27 + 24. What is p*a(k) + 5*t(k)? 2*k**3 + k - 2 Let b(f) = 10*f**3 + 17*f**2 + 15*f + 61. Let r(n) = 5*n**3 + 8*n**2 + 7*n + 30. Determine 6*b(d) - 13*r(d). -5*d**3 - 2*d**2 - d - 24 Let p(u) = 3*u - 6. Let n(j) = -24*j - 534. Let o be n(-22). Let m(k) = 7*k - 11. Calculate o*m(i) + 11*p(i). -9*i Let d(x) = 2*x + 9. Let u be 16 - 4/6*-3. Let y = u - 13. Let s(g) = g + 4. What is y*s(h) - 2*d(h)? h + 2 Let o(w) = -w**3 - w**2 + w. Let m(c) = 2*c - 3. What is -m(z) + 2*o(z)? -2*z**3 - 2*z**2 + 3 Let n(k) = -6*k**2 - 10*k + 14. Let d(m) = m**2 + 2*m - 3. Suppose -4*a + a = -3*o - 36, 2*o + 2*a + 20 = 0. Give o*d(s) - 2*n(s). s**2 - 2*s + 5 Let t = -9 + 42. Let z be -2 + 60/33 - 192/t. Let v(p) = -2*p**3 - 6*p**2 - 8*p - 6. Let d(u) = 4*u**3 + 13*u**2 + 17*u + 13. Calculate z*d(o) - 13*v(o). 2*o**3 + 2*o Let x(j) = 0*j + 43 + 3*j - 3*j**2 - 39 - j. Let b(t) = -4*t**2 + 2*t + 5. Calculate 4*b(d) - 5*x(d). -d**2 - 2*d Let v(m) = 4*m**2 - 19*m + 5. Let n(h) = -h**2 - h - 1. Give 5*n(g) + v(g). -g**2 - 24*g Let h(c) = 9*c**2 - 2*c - 8. Let u(k) = -4*k - 66. Let d be u(-15). Let j(f) = 17*f**2 - 4*f - 15. What is d*j(q) + 11*h(q)? -3*q**2 + 2*q + 2 Let g(n) = -n**2 + 2*n. Let i = -268 - -267. Let j(q) = q**2 - q. What is i*g(x) - 2*j(x)? -x**2 Let h(r) = -1. Let d(j) = 6*j + 6. Let q = 59 + -60. Let b(p) = -p - 1. Let x(z) = q*d(z) - 5*b(z). Suppose -12 = -0*k - 4*k. Calculate k*h(v) - 2*x(v). 2*v - 1 Let i(w) = -4 + 0 - 2 - 4 - 12*w + 14. Let k(o) = 11*o - 3. Give -6*i(g) - 7*k(g). -5*g - 3 Let x(v) = -7. Let i(p) = -39*p - 11. Let d(g) = 11*g + 3. Let b(o) = -7*d(o) - 2*i
{ "pile_set_name": "DM Mathematics" }
s the z'th term of 2762, 2775, 2804, 2855, 2934, 3047? z**3 + 2*z**2 + 2759 What is the j'th term of -740, -600, -460, -320, -180, -40? 140*j - 880 What is the z'th term of -64731, -64737, -64745, -64755? -z**2 - 3*z - 64727 What is the w'th term of -93493, -93482, -93471, -93460, -93449, -93438? 11*w - 93504 What is the s'th term of -107243, -214484, -321725, -428966, -536207? -107241*s - 2 What is the k'th term of 390, 939, 1660, 2565, 3666, 4975? 2*k**3 + 74*k**2 + 313*k + 1 What is the j'th term of -34869, -34872, -34875, -34878? -3*j - 34866 What is the l'th term of 4878, 9404, 13928, 18450, 22970, 27488? -l**2 + 4529*l + 350 What is the y'th term of -910, -914, -930, -964, -1022, -1110, -1234? -y**3 + 3*y - 912 What is the z'th term of 45, 195, 457, 831? 56*z**2 - 18*z + 7 What is the t'th term of 268, 288, 320, 364, 420, 488, 568? 6*t**2 + 2*t + 260 What is the r'th term of 2333, 4635, 6885, 9065, 11157? -3*r**3 - 8*r**2 + 2347*r - 3 What is the t'th term of 686, 1366, 2046, 2726, 3406, 4086? 680*t + 6 What is the b'th term of -7102, -14166, -21230, -28294? -7064*b - 38 What is the f'th term of 85, 41, -15, -83? -6*f**2 - 26*f + 117 What is the b'th term of 1545, 6358, 14381, 25614, 40057, 57710, 78573? 1605*b**2 - 2*b - 58 What is the r'th term of -151, -343, -535, -727, -919? -192*r + 41 What is the v'th term of 282, 672, 1172, 1776, 2478, 3272? -v**3 + 61*v**2 + 214*v + 8 What is the f'th term of -52426, -52419, -52408, -52393? 2*f**2 + f - 52429 What is the q'th term of 67128, 67010, 66892, 66774, 66656, 66538? -118*q + 67246 What is the p'th term of 448, 681, 914, 1147, 1380, 1613? 233*p + 215 What is the p'th term of -3085, -3090, -3097, -3106, -3117? -p**2 - 2*p - 3082 What is the i'th term of 670, 741, 832, 937, 1050, 1165, 1276, 1377? -i**3 + 16*i**2 + 30*i + 625 What is the l'th term of 4509, 17998, 40477, 71946, 112405, 161854? 4495*l**2 + 4*l + 10 What is the p'th term of 1547459, 1547453, 1547447, 1547441, 1547435, 1547429? -6*p + 1547465 What is the n'th term of -6481, -12973, -19465, -25957, -32449, -38941? -6492*n + 11 What is the r'th term of 2789, 2785, 2781? -4*r + 2793 What is the n'th term of -1759, -1732, -1709, -1690, -1675, -1664? -2*n**2 + 33*n - 1790 What is the b'th term of -50, -205, -464, -827? -52*b**2 + b + 1 What is the p'th term of -342, -2545, -6216, -11355, -17962, -26037, -35580? -734*p**2 - p + 393 What is the h'th term of -627, -578, -505, -396, -239? 2*h**3 + 35*h - 664 What is the w'th term of -123, -268, -437, -642, -895, -1208? -2*w**3 - 131*w + 10 What is the z'th term of 2504, 5163, 7852, 10583, 13368, 16219, 19148, 22167? 2*z**3 + 3*z**2 + 2636*z - 137 What is the h'th term of 69, 216, 457, 792? 47*h**2 + 6*h + 16 What is the h'th term of -3885, -3878, -3867, -3852, -3833, -3810, -3783? 2*h**2 + h - 3888 What is the m'th term of -42503, -42498, -42493, -42488, -42483? 5*m - 42508 What is the o'th term of -37241, -37234, -37227? 7*o - 37248 What is the p'th term of -15581, -62327, -140237, -249311, -389549? -15582*p**2 + 1 What is the i'th term of 504, 2039, 4598, 8181, 12788? 512*i**2 - i - 7 What is the w'th term of 449, 1857, 4227, 7577, 11925, 17289, 23687, 31137? 3*w**3 + 463*w**2 - 2*w - 15 What is the t'th term of -4, -41, -168, -439, -908, -1629, -2656, -4043? -9*t**3 + 9*t**2 - t - 3 What is the w'th term of 264, 2521, 8938, 21687, 42940? 362*w**3 - 92*w**2 - w - 5 What is the j'th term of -30, -151, -374, -705, -1150? -j**3 - 45*j**2 + 21*j - 5 What is the g'th term of 816, 1457, 1740, 1485, 512, -1359? -30*g**3 + g**2 + 848*g - 3 What is the r'th term of 22, 216, 542, 1000, 1590? 66*r**2 - 4*r - 40 What is the h'th term of 1237, 900, 573, 262, -27, -288, -515, -702? h**3 - h**2 - 341*h + 1578 What is the v'th term of -580, -1236, -1892, -2548, -3204, -3860? -656*v + 76 What is the f'th term of -2346, -2334, -2322, -2310? 12*f - 2358 What is the w'th term of 30010, 60018, 90030, 120046, 150066? 2*w**2 + 30002*w + 6 What is the c'th term of 21, 87, 269, 627, 1221? 10*c**3 - 2*c**2 + 2*c + 11 What is the b'th term of 32957, 65915, 98873, 131831, 164789? 32958*b - 1 What is the g'th term of 263231, 526465, 789699, 1052933, 1316167? 263234*g - 3 What is the z'th term of 330, 1070, 1800, 2514, 3206, 3870, 4500, 5090? -z**3 + z**2 + 744*z - 414 What is the p'th term of -82886, -82892, -82898? -6*p - 82880 What is the k'th term of 6, 327, 1202, 2907, 5718, 9911, 15762? 46*k**3 + k**2 - 4*k - 37 What is the a'th term of 19752, 19746, 19738, 19728, 19716? -a**2 - 3*a + 19756 What is the o'th term of 425, 1581, 3473, 6101, 9465? 368*o**2 + 52*o + 5 What is the v'th term of -1866, -1821, -1790, -1779, -1794, -1841, -1926? -v**3 - v**2 + 55*v - 1919 What is the k'th term of -95, -104, -127, -170, -239? -k**3 - k**2 + k - 94 What is the g'th term of 383, 668, 955, 1244, 1535, 1828? g**2 + 282*g + 100 What is the l'th term of 17125, 17129, 17133, 17137, 17141, 17145? 4*l + 17121 What is the g'th term of -67267, -269070, -605409, -1076284, -1681695, -2421642? -67268*g**2 + g What is the h'th term of -1439, -1447, -1455, -1457, -1447, -1419? h**3 - 6*h**2 + 3*h - 1437 What is the t'th term of -220, -323, -498, -745, -1064, -1455, -1918? -36*t**2 + 5*t - 189 What is the m'th term of -1176, -1064, -948, -828, -704, -576? 2*m**2 + 106*m - 1284 What is the i'th term of 1151, 1161, 1171, 1181, 1191? 10*i + 1141 What is the x'th term of -5, 42, 151, 322? 31*x**2 - 46*x + 10 What is the g'th term of 6964, 13927, 20890? 6963*g + 1 What is the m'th term of 1118, 2155, 3192, 4229, 5266? 1037*m + 81 What is the g'th term of 383, 792, 1213, 1646, 2091? 6*g**2 + 391*g - 14 What is the m'th term of -122, -519, -1180, -2105, -3294, -4747? -132*m**2 - m + 11 What is the r'th term of -72, -329, -984, -2235, -4280? -33*r**3 - r**2 - 23*r - 15 What is the m'th term of 331, 608, 889, 1174? 2*m**2 + 271*m + 58 What is the x'th term of 887, 936, 1079, 1364, 1839, 2552? 8*x**3 - x**2 - 4*x + 884 What is the c'th term of -107, -179, -285, -425? -17*c**2 - 21*c - 69 What is the l'th term of -27, -26, -41, -114, -287, -602? -7*l**3 + 34*l**2 - 52*l - 2 What is the k'th term of 9232, 9202, 9172, 9142? -30*k + 9262 What is the l'th term of 920, 1840, 2756, 3668, 4576, 5480, 6380? -2*l**2 + 926*l - 4 What is the c'th term of -84814, -169627, -254442, -339259? -c**2 - 84810*c - 3 What is the n'th term of -180340, -721328, -1622984, -2885314, -4508324, -6492020? -n**3 - 180328*n**2 + 3*n - 14 What is the k'th term of -18317, -18332, -18347, -18362, -18377? -15*k - 18302 What is the b'th term of -56, -156, -292, -464? -18*b**2 - 46*b + 8 What is the u'th term of -7472, -7479, -7488, -7499, -7512, -7527? -u**2 - 4*u - 7467 What is the w'th term of 428, 90, -478, -1276? -115*w**2 + 7*w + 536 What is the s'th term of 275, 555, 837, 1121? s**2 + 277*s - 3 What is the a'th term of 51680, 51681, 51682? a + 51679 What is the u'th term of 13958, 27923, 41888? 13965*u - 7 What is the v'th term of 1547, 6154, 13819, 24536, 38299? -v**3 + 1535*v**2 + 9*v + 4 What is the v'th term of 17028, 34092, 51156? 17064*v - 36 What is the c'th term of 22708, 45418, 68130, 90844, 113560, 136278? c**2 + 22707*c What is the h'th term of -173, -102, -31, 40? 71*h - 244 What is the a'th term of -15, -100, -265, -510, -835, -1240, -1725? -40*a**2 + 35*a - 10 What is the i'th term of 317, 391, 515, 689, 913, 1187, 1511? 25*i**2 - i + 293 What is the h'th term of 403, 209, 3, -221, -469, -747, -1061? -h**3 - 187*h + 591 What is the i'th term of 141, 224, 459, 924, 1697? 13*i**3 - 2*i**2 - 2*i + 132 What is the x'th term of -286976, -573960, -860944, -1147928? -286984*x + 8 What is the u'th term of 27, 109, 327, 753, 1459, 2517, 3999? 12*u**3 - 4*u**2 + 10*u + 9 What is the l'th term of -2968, -5213, -7458? -2245*l - 723 What is the s'th term of -1085151, -1085155, -1085163, -1085175, -1085191, -1085211, -1085235? -2*s**2 + 2*s - 1085151 What is the y'th term of -6478, -6484, -6490, -6496? -6*y - 6472 What is the m'th term of 225, 813, 1787, 3141, 4869, 6965? -m**3 + 199*m**2 - 2*m + 29 What is the h'th term of 252, 450, 578, 618, 552, 362? -3*h**3 - 17*h**2 + 270*h + 2 What is the k'th term of 1748, 3481, 5222, 6971, 8728, 10493, 12266? 4*k**2 + 1721*k +
{ "pile_set_name": "DM Mathematics" }
rms in -5*c - 15*c + 4*c - c + 35*c. 18*c Collect the terms in -34 + 50*k - 94*k - 10 + 1 + 43*k - 24. -k - 67 Collect the terms in 12155*m**2 + 12161*m**2 - 24297*m**2. 19*m**2 Collect the terms in -205*b**3 + 3*b**2 + 367*b**3 + 249*b**3 - 3*b**2 + b. 411*b**3 + b Collect the terms in -17*a + 73*a + 1117*a**3 - 56*a - 1098*a**3. 19*a**3 Collect the terms in -11*u - 5*u - 4*u - 12*u + 29*u. -3*u Collect the terms in -42*n + 80*n - 45*n. -7*n Collect the terms in -569 - 589 - 3*x + 1158. -3*x Collect the terms in 4*c - 6*c + 29*c**2 + c + 27*c**2. 56*c**2 - c Collect the terms in 3777*m + 1 + 3723*m - 1 - 7494*m. 6*m Collect the terms in -34*s**3 - 11*s**3 + 14 + 43*s**3. -2*s**3 + 14 Collect the terms in -10 + 27*c**2 + 15 - 17 + 12. 27*c**2 Collect the terms in 50*w**3 + 667*w + 953*w - 52*w**3 + 564*w. -2*w**3 + 2184*w Collect the terms in 1251*q - 2499*q - 39*q**3 + 36*q**3 + 1248*q. -3*q**3 Collect the terms in -135*d**2 - 45*d**2 - 234*d**2. -414*d**2 Collect the terms in 45799237*z + 18 - 45799238*z - 18. -z Collect the terms in 743*q**2 - 1454 + 1454. 743*q**2 Collect the terms in -394*j**2 - 192*j**2 - 223*j**2. -809*j**2 Collect the terms in -36*u**3 - 25*u**3 + 160*u**3. 99*u**3 Collect the terms in -7 - 2 + 3 - 4208*g. -4208*g - 6 Collect the terms in 74*q**3 + 5482*q - 5482*q. 74*q**3 Collect the terms in -585*w**3 - 357*w**3 - 10*w**2 + 10*w**2. -942*w**3 Collect the terms in g**3 + 3*g**3 + 15*g**3 - 10*g**3. 9*g**3 Collect the terms in -7*c**2 - 56*c**2 - 6 - 17*c**2 + 4. -80*c**2 - 2 Collect the terms in 344 - 98*y**2 - 344 + 433*y**2. 335*y**2 Collect the terms in 11*n**3 - 64*n + 77*n - 3*n**3 + 6*n**3. 14*n**3 + 13*n Collect the terms in -2892*i + 906*i + 999*i + 984*i. -3*i Collect the terms in c**2 - 2*c**2 + 4*c**2 - 140*c - c**2 + 154*c. 2*c**2 + 14*c Collect the terms in -4*n**3 - 16449309*n + 16449309*n + 5. -4*n**3 + 5 Collect the terms in -2*x**2 - 46089 - 46081 + 92170. -2*x**2 Collect the terms in 888*v**2 - v + 934*v**2 + 869*v**2 - 2603*v**2. 88*v**2 - v Collect the terms in 0 + 6 + 3 + 2 - 18 - 16*q**2. -16*q**2 - 7 Collect the terms in -3*u**3 + 8529*u - 8529*u. -3*u**3 Collect the terms in -9993*i**3 - 9668*i**3 + 19657*i**3. -4*i**3 Collect the terms in -54 + 29 - 198*m + 25. -198*m Collect the terms in 19 + 18 - 6*l + 16 - 62. -6*l - 9 Collect the terms in 8*n - 30*n - 36*n - 43*n - 9*n. -110*n Collect the terms in -94*z - 4 + 4 - 105*z + 52*z - z**2. -z**2 - 147*z Collect the terms in 14061970*c**3 + 2 - 14061972*c**3 - 2. -2*c**3 Collect the terms in -1900*c**3 + 785*c**3 + 1114*c**3. -c**3 Collect the terms in -16 + 248*i**3 - 503*i**3 + 224*i**3. -31*i**3 - 16 Collect the terms in 0 - 349*f**3 + 0 + 171*f**3 + 182*f**3. 4*f**3 Collect the terms in -5388*q**3 - 5319*q**3 + 16028*q**3 - 5319*q**3. 2*q**3 Collect the terms in -65 + 15 - 363*w**3 + 26 + 24 + 358*w**3. -5*w**3 Collect the terms in -847*k + 1626*k - 780*k + 3 - 3. -k Collect the terms in -52 + 111 - 42 + 24*q. 24*q + 17 Collect the terms in -1334*w + 1784*w - 440*w. 10*w Collect the terms in -4 + 51*p**3 - 14*p**3 - 19*p**3 - 7 - 20*p**3. -2*p**3 - 11 Collect the terms in 39 - 226 + 46 - x + 57 + 55. -x - 29 Collect the terms in 12 - 118*z**3 + 10 - z + 1 - 23. -118*z**3 - z Collect the terms in -166 + 7*k**3 - 171 + 500 - 163. 7*k**3 Collect the terms in 714 + 750 + 5*w - 2220 + 756. 5*w Collect the terms in 5830*r**2 - 3*r + 3*r + 5833*r**2 - 11670*r**2. -7*r**2 Collect the terms in 249*g**3 + 1040*g**3 - g**3 + 62*g**3. 1350*g**3 Collect the terms in 3277*g**2 - 2370*g**2 + 8009*g**2. 8916*g**2 Collect the terms in 160*l**2 + 7*l**3 + 10*l**3 - 32*l**3 - 160*l**2. -15*l**3 Collect the terms in -6 + 0 - 4*o + 4 + 13 + 6*o. 2*o + 11 Collect the terms in -5473*p**2 + 4895*p**2 - 11573*p**2. -12151*p**2 Collect the terms in 8*r - 8*r + 0*r + 2252*r**2. 2252*r**2 Collect the terms in 9*x - 77156*x**2 - 1 + 1 + 154306*x**2 - 77155*x**2. -5*x**2 + 9*x Collect the terms in -54 + 135*x**2 + 54 - 151*x**2. -16*x**2 Collect the terms in 2 + 131*z - 62*z - 68*z + 0. z + 2 Collect the terms in 85*z**3 - 228017*z**2 - 2*z + 228017*z**2. 85*z**3 - 2*z Collect the terms in -877*z - 15785 + 15785. -877*z Collect the terms in 6 + 94*w - 2 + 41*w - 4. 135*w Collect the terms in 83 + c - 8*c**2 - c - 6*c + 5*c. -8*c**2 - c + 83 Collect the terms in -80*m**2 - 4*m**2 + 5*m + 73*m**2 - 5*m. -11*m**2 Collect the terms in 180 + 0*q**2 - 184 + q**2. q**2 - 4 Collect the terms in 74*v**3 - 689*v**3 - 2*v - 1 + 1285*v**3. 670*v**3 - 2*v - 1 Collect the terms in -1649*t + 257*t**2 + 1649*t. 257*t**2 Collect the terms in 552 + 180 - 732 + 3*q. 3*q Collect the terms in 120*o - 1441*o**3 - 61*o - 59*o. -1441*o**3 Collect the terms in -3*u - 3 + 1478*u**2 + 0 + 5. 1478*u**2 - 3*u + 2 Collect the terms in 34*y**2 + 15 - 21 - 12*y**2 + 6. 22*y**2 Collect the terms in 5792*c**3 + 5791*c**3 - 11581*c**3. 2*c**3 Collect the terms in 7033*b**2 + 19 - 4 - 7040*b**2 - 15. -7*b**2 Collect the terms in -387*q + 11*q**2 + 151*q + 236*q. 11*q**2 Collect the terms in -9*l - 5*l - l + 12*l - 21 + 0*l. -3*l - 21 Collect the terms in 3 - 3 + 3*w**2 - 1. 3*w**2 - 1 Collect the terms in -12*i + 48*i - 25*i - 10*i + 0*i. i Collect the terms in -2743 + 1424 + 100*a**2 + 1319. 100*a**2 Collect the terms in 582*p**3 - 1166*p**3 + 604*p**3. 20*p**3 Collect the terms in -90*q**2 + 174*q**2 - 75*q**2. 9*q**2 Collect the terms in 761 - 2261 + 754 + 17*v**3 + 752 - 8*v**3. 9*v**3 + 6 Collect the terms in -2105*d**3 - 2125*d**3 + 6336*d**3 - 2105*d**3. d**3 Collect the terms in -286*c - 1 - 1117*c + 1 + 31*c. -1372*c Collect the terms in 37*s - 37*s - 2*s**3 + 39*s**2 - 153*s**2. -2*s**3 - 114*s**2 Collect the terms in -32 - 4781*z - 40 + 70. -4781*z - 2 Collect the terms in 216*w - 80*w**2 - 38*w - 178*w. -80*w**2 Collect the terms in -5*d**3 + 25*d**3 + 2*d**2 - 2*d**2 - 14*d**3 - 2*d**3. 4*d**3 Collect the terms in 147*t**3 - 15*t**2 + t**2 + 9*t**2 + 5*t**2. 147*t**3 Collect the terms in -4846*y**2 + 4203*y**2 - 4085*y**2 + 62427*y**2. 57699*y**2 Collect the terms in -5*u**2 - 11*u + 6*u + 5*u + 1936. -5*u**2 + 1936 Collect the terms in 10*h**2 - 54*h**2 - 25*h**2 - 67*h**3 + 322*h**3. 255*h**3 - 69*h**2 Collect the terms in o - 2*o - 34*o**2 - 3*o - 149*o**3 - 8*o**2. -149*o**3 - 42*o**2 - 4*o Collect the terms in 328 + 52*r + 257 - 585. 52*r Collect the terms in -88034*o + 6 - 6. -88034*o Collect the terms in -10*u**3 - 1 - 23*u - 12*u - 3*u**3 + 6*u**3. -7*u**3 - 35*u - 1 Collect the terms in 18*s + 34*s + 28*s - 117*s + 27*s + 25*s. 15*s Collect the terms in -142*i**2 - 138*i**2 + 548*i**2 - 137*i**2 - 155*i**2. -24*i**2 Collect the terms in -8096*a - 2 + 1 + 8051*a. -45*a - 1 Collect the terms in 270*c - 13*c**3 + 275*c - 548*c. -13*c**3 - 3*c Collect the terms in 635 + t**2 + 640 - 1275. t**2 Collect the terms in 8851*c**3 + 8781*c**3 - 17640*c**3. -8*c**3 Collect the terms in -2000*t**3 + 6088*t**3 - 2090*t**3 - 2000*t**3. -2*t**3 Collect the terms in -308*m + 647*m - 339*m - 3 - m**3 + 10. -m**3 + 7 Collect the terms in -9281*s + 4629*s + 4632*s. -20*s Collect the terms in -19*s**2 + 6*s - 9*s**2 - 8*s + 2*s. -28*s**2 Collect the terms in -26175*h**2 + 0*h + 0*h - 26176*h**2 + 52342*h**2. -9*h**2 Collect the terms in -45437*a**3 + 45438*a**3 - 146 + 146. a**3 Collect the terms in 2*u + 9740*u**2 + 1 - 1 + 0. 9740*u**2 + 2*u Collect the terms in -p**3 + 70*p**2 - 184 + 3*p**3 - 128*p**2 + 184. 2*p**3 - 58*p**2 Collect the terms in -4798*a + 5*a**3 + 2245*a + 2553*a - 3*a**3. 2*a**3 Collect the terms in -186*a**3 - 188*a**3 + 373*a**3 + 39*a - 5*a. -a**3 + 34*a Collect the terms in 55*k - k**3 + 64*k - 255*k + 70*k + 66*k. -k**3 Collect the terms in -875 - 875 + 12*y + 1750. 12*y Collect the terms in -3*o + 347579*o**3 + 4*o - 348069*o**3. -490*o**3 + o Collect the terms in 477*g**2 - 902*g + 2 + 902*g. 477*g**2 + 2 Collect the terms in 4 - 31*d**3 + 103*d**2 - 103*d**2 - 8*d**3 + 0*d**3. -39*d**3 + 4 Collect the terms in 107*a**2 + 6*a**2 + 36*a**2 - 19*a**2. 130*a**2 Collect the terms in 5*j - 17*j + 46*j - 22*j + 16*j. 28*j Collect the terms in 2 + 13065*k**3 - 2 - 13068*k**3. -3*k**3 Collect the terms in -60*h**2 - 16*h**2 - 13*h**2 - 14*h**2 + 33*h**2. -70*h**2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
s digit of 12801? 1 What is the hundreds digit of 363? 3 What is the thousands digit of 8591? 8 What is the hundreds digit of 1089? 0 What is the tens digit of 48? 4 What is the hundreds digit of 14206? 2 What is the units digit of 17968? 8 What is the tens digit of 42531? 3 What is the units digit of 7025? 5 What is the units digit of 3789? 9 What is the hundreds digit of 727? 7 What is the units digit of 842? 2 What is the units digit of 621? 1 What is the tens digit of 1068? 6 What is the tens digit of 121120? 2 What is the thousands digit of 5810? 5 What is the hundreds digit of 820? 8 What is the hundreds digit of 4564? 5 What is the units digit of 319? 9 What is the tens digit of 35765? 6 What is the tens digit of 1848? 4 What is the thousands digit of 38572? 8 What is the hundreds digit of 279? 2 What is the hundreds digit of 724? 7 What is the hundreds digit of 15981? 9 What is the tens digit of 889? 8 What is the thousands digit of 20118? 0 What is the ten thousands digit of 32789? 3 What is the units digit of 1880? 0 What is the units digit of 1796? 6 What is the units digit of 495? 5 What is the hundreds digit of 120111? 1 What is the hundreds digit of 3074? 0 What is the units digit of 357? 7 What is the tens digit of 1487? 8 What is the tens digit of 34054? 5 What is the units digit of 14570? 0 What is the units digit of 911? 1 What is the units digit of 54273? 3 What is the tens digit of 11306? 0 What is the hundreds digit of 666? 6 What is the thousands digit of 9938? 9 What is the hundreds digit of 11965? 9 What is the units digit of 1372? 2 What is the tens digit of 1540? 4 What is the hundreds digit of 6688? 6 What is the tens digit of 288? 8 What is the thousands digit of 108721? 8 What is the thousands digit of 85784? 5 What is the tens digit of 77006? 0 What is the units digit of 4626? 6 What is the tens digit of 1810? 1 What is the tens digit of 988? 8 What is the units digit of 52855? 5 What is the thousands digit of 5891? 5 What is the tens digit of 128613? 1 What is the hundreds digit of 60233? 2 What is the thousands digit of 73548? 3 What is the hundreds digit of 14417? 4 What is the hundreds digit of 19029? 0 What is the tens digit of 4462? 6 What is the hundreds digit of 151? 1 What is the hundreds digit of 347? 3 What is the thousands digit of 7809? 7 What is the hundreds digit of 2711? 7 What is the units digit of 2442? 2 What is the thousands digit of 34157? 4 What is the tens digit of 2480? 8 What is the thousands digit of 16184? 6 What is the units digit of 2139? 9 What is the hundreds digit of 1148? 1 What is the tens digit of 2013? 1 What is the thousands digit of 2765? 2 What is the thousands digit of 44429? 4 What is the units digit of 7542? 2 What is the units digit of 651? 1 What is the hundreds digit of 46139? 1 What is the ten thousands digit of 24911? 2 What is the tens digit of 1165? 6 What is the thousands digit of 7369? 7 What is the tens digit of 663? 6 What is the hundreds digit of 1535? 5 What is the tens digit of 11703? 0 What is the thousands digit of 159409? 9 What is the hundreds digit of 7406? 4 What is the thousands digit of 7081? 7 What is the tens digit of 1164? 6 What is the hundreds digit of 31305? 3 What is the tens digit of 14015? 1 What is the ten thousands digit of 15828? 1 What is the ten thousands digit of 58809? 5 What is the ten thousands digit of 29805? 2 What is the thousands digit of 41023? 1 What is the thousands digit of 2406? 2 What is the tens digit of 4772? 7 What is the thousands digit of 1832? 1 What is the thousands digit of 9306? 9 What is the hundreds digit of 15253? 2 What is the ten thousands digit of 34094? 3 What is the units digit of 55626? 6 What is the tens digit of 23850? 5 What is the tens digit of 859? 5 What is the tens digit of 21606? 0 What is the units digit of 996? 6 What is the hundreds digit of 441? 4 What is the thousands digit of 1512? 1 What is the thousands digit of 11625? 1 What is the tens digit of 14837? 3 What is the ten thousands digit of 36831? 3 What is the thousands digit of 1203? 1 What is the thousands digit of 1206? 1 What is the hundreds digit of 12132? 1 What is the units digit of 2179? 9 What is the units digit of 2753? 3 What is the tens digit of 34491? 9 What is the tens digit of 696? 9 What is the thousands digit of 2232? 2 What is the thousands digit of 1054? 1 What is the hundreds digit of 9213? 2 What is the hundreds digit of 744? 7 What is the thousands digit of 27693? 7 What is the tens digit of 28815? 1 What is the tens digit of 10489? 8 What is the tens digit of 9090? 9 What is the units digit of 242? 2 What is the units digit of 248? 8 What is the tens digit of 9786? 8 What is the units digit of 4916? 6 What is the units digit of 277? 7 What is the ten thousands digit of 30965? 3 What is the tens digit of 13846? 4 What is the hundreds digit of 3680? 6 What is the units digit of 1049? 9 What is the units digit of 5772? 2 What is the ten thousands digit of 24825? 2 What is the hundreds digit of 8172? 1 What is the thousands digit of 4229? 4 What is the thousands digit of 2330? 2 What is the tens digit of 1050? 5 What is the units digit of 1883? 3 What is the units digit of 476? 6 What is the thousands digit of 1100? 1 What is the tens digit of 438? 3 What is the hundreds digit of 124? 1 What is the hundreds digit of 931? 9 What is the thousands digit of 65718? 5 What is the tens digit of 1138? 3 What is the units digit of 1024? 4 What is the thousands digit of 8913? 8 What is the units digit of 374? 4 What is the hundreds digit of 192? 1 What is the tens digit of 3938? 3 What is the units digit of 39781? 1 What is the units digit of 21028? 8 What is the thousands digit of 2102? 2 What is the thousands digit of 103006? 3 What is the hundreds digit of 240? 2 What is the tens digit of 10416? 1 What is the hundreds digit of 2467? 4 What is the tens digit of 46393? 9 What is the units digit of 5836? 6 What is the thousands digit of 4152? 4 What is the tens digit of 872? 7 What is the ten thousands digit of 51122? 5 What is the hundreds digit of 3405? 4 What is the hundreds digit of 2138? 1 What is the units digit of 1633? 3 What is the ten thousands digit of 27402? 2 What is the units digit of 1547? 7 What is the hundreds digit of 12228? 2 What is the thousands digit of 2042? 2 What is the tens digit of 71? 7 What is the units digit of 14012? 2 What is the tens digit of 2518? 1 What is the units digit of 41497? 7 What is the thousands digit of 3564? 3 What is the hundreds digit of 4593? 5 What is the tens digit of 1412? 1 What is the thousands digit of 5433? 5 What is the tens digit of 723? 2 What is the units digit of 1135? 5 What is the hundreds digit of 19307? 3 What is the units digit of 6? 6 What is the tens digit of 241? 4 What is the units digit of 127035? 5 What is the tens digit of 22281? 8 What is the hundreds digit of 3045? 0 What is the units digit of 2302? 2 What is the units digit of 829? 9 What is the ten thousands digit of 49436? 4 What is the units digit of 1805? 5 What is the tens digit of 6036? 3 What is the units digit of 8137? 7 What is the units digit of 3667? 7 What is the thousands digit of 8883? 8 What is the tens digit of 149222? 2 What is the tens digit of 2693? 9 What is the units digit of 1658? 8 What is the tens digit of 7418? 1 What is the tens digit of 27520? 2 What is the hundreds digit of 1883? 8 What is the tens digit of 18? 1 What is the hundreds digit of 12728? 7 What is the thousands digit of 2356? 2 What is the thousands digit of 2162? 2 What is the thousands digit of 1270? 1 What is the units digit of 5428? 8 What is the tens digit of 4023? 2 What is the units digit of 8? 8 What is the units digit of 8? 8 What is the tens digit of 364? 6 What is the units digit of 2517? 7 What is the tens digit of 100? 0 What is the tens digit of 1422? 2 What is the tens digit of 22675? 7 What is the units digit of 3215? 5 What is the hundreds digit of 41189? 1 What is the thousands digit of 22824? 2 What is the ten thousands digit of 41961? 4 What is the ten thousands digit of 46345? 4 What is the hundreds digit of 27164? 1 What is the tens digit of 13256? 5 What is the thousands digit of 3431? 3 W
{ "pile_set_name": "DM Mathematics" }
et f(r) = 6*r**3 - 250*r**2 - 6*r + 234. Let p(o) = -f(o) + 8*l(o). Factor p(k). 2*(k - 1)*(k + 1)*(k + 129) Let h(q) = 164*q + 11162. Let w be h(-68). Let s(x) be the first derivative of 0*x**4 + 0*x + 0*x**2 - w - 2/3*x**6 + 0*x**3 + 0*x**5. Factor s(a). -4*a**5 Let t(b) be the first derivative of 20*b**2 + 64*b - 50 + 4/3*b**3. Factor t(v). 4*(v + 2)*(v + 8) Let n = -114255/41 + 2787. Let b = 118/123 - n. Suppose 4/3*m**2 - 4*m**3 + 2*m - 2/3*m**4 + 2*m**5 - b = 0. What is m? -1, 1/3, 1 Suppose 0 = 8*o - 5 - 59. Let q(b) be the second derivative of -1/5*b**5 + 0 + 0*b**3 + 0*b**2 - 7/3*b**4 - o*b. Factor q(y). -4*y**2*(y + 7) Let r(i) = -i**3 + 111*i**2 + 635*i - 6372. Let g be r(116). Factor 2/7*f**4 - 52/7*f**3 - 110/7*f**2 + 0 - g*f. 2*f*(f - 28)*(f + 1)**2/7 Factor -1/7*n**2 - 40*n - 2800. -(n + 140)**2/7 Suppose -y - 4*y + 7 = -2*o, -y = 2*o + 1. Let s be o/((-2)/20*2). Factor -4*q**4 + 2*q - 14*q**2 + 5*q**5 + 18*q**2 - 7*q**s. -2*q*(q - 1)*(q + 1)**3 Find y such that -43*y**4 + 25*y**3 - 14*y**5 + 5*y**5 + 53*y**4 + 4*y**5 - 18*y**2 - 12*y**2 = 0. -2, 0, 1, 3 Let d be (-52)/(-14) + 18/14 + -1. Suppose 4*n + n - 45 = -2*j, 0 = -2*j + 4*n. Factor h**5 - 8*h**4 + j*h**3 + 23*h**4 + 0*h**d + 4*h**5. 5*h**3*(h + 1)*(h + 2) Factor -2500 - 2800/3*n - 103/3*n**2 - 1/3*n**3. -(n + 3)*(n + 50)**2/3 Factor 9*a**2 - 21*a**2 - 1176*a + 82*a + 10*a**2 - 1832 - 740*a. -2*(a + 1)*(a + 916) Suppose -2/11*u**2 - 439922/11 - 1876/11*u = 0. What is u? -469 Let c(z) be the second derivative of -z**4/30 - 21*z**3/5 + 26*z**2 + 223*z - 2. What is s in c(s) = 0? -65, 2 Let s(y) be the third derivative of -17/100*y**5 - 9 - y**2 + 0*y + 7/40*y**4 + 1/10*y**3 + 9/200*y**6. Factor s(m). 3*(m - 1)**2*(9*m + 1)/5 Let m(w) be the first derivative of -w**6/36 - 152*w**5/15 + 153*w**4/4 - 460*w**3/9 + 307*w**2/12 + 1068. Find l, given that m(l) = 0. -307, 0, 1 Let g be (-19)/55 + 102/187 - 36/(-120). Suppose 4*u = -u. Determine x, given that -g*x**5 + 1/2*x**2 + 1/2*x**3 - 1/2*x**4 + 0 + u*x = 0. -1, 0, 1 Let n(z) be the third derivative of z**6/60 - 7*z**5/6 + 32*z**4/3 - 124*z**3/3 + 2*z**2 - 78*z. Determine x, given that n(x) = 0. 2, 31 Let f(o) be the third derivative of -o**5/90 + 7*o**4/18 - 8*o**3/3 + 2*o**2 + 3*o + 1326. Determine l, given that f(l) = 0. 2, 12 Let o = 404904 - 2834326/7. Factor o*u**4 - 2024/7*u + 1058/7 + 876/7*u**2 + 88/7*u**3. 2*(u - 1)**2*(u + 23)**2/7 Suppose 0 = -280*n + 282*n - 2*w - 2, -3 = 4*n + 3*w. Let d(m) be the second derivative of 27/4*m**2 + 1/8*m**4 + n + 3/2*m**3 + 25*m. What is p in d(p) = 0? -3 Let r = 169 + -164. Factor -8 - r*y + 12 + 5*y**3 - 14 + 10*y**2. 5*(y - 1)*(y + 1)*(y + 2) Let d(h) be the second derivative of 4/33*h**3 + 1/33*h**4 - 1/110*h**5 + 0*h**2 + 0 - 1/330*h**6 - 6*h. Factor d(g). -g*(g - 2)*(g + 2)**2/11 Suppose 0 = 3*d - 27 + 12. Suppose -2*q + d = -2*s + 1, q = 2*s - 1. Factor -12*z + 26*z**s + 16*z**3 - 27*z**3 + 3*z**2. 3*z*(z + 1)*(5*z - 4) Let -49*l**3 + 170*l + 37*l**3 - 165*l**2 + 7*l**3 = 0. What is l? -34, 0, 1 Let n = -1386 + 1412. Let s = n - 129/5. Factor 1/5*a - s*a**3 + 1/5 - 1/5*a**2. -(a - 1)*(a + 1)**2/5 Suppose -5*p - 3*q - 1235 = -6281, -2*q + 2020 = 2*p. Let l = 1010 - p. What is r in 6/11*r + 2/11*r**l - 20/11 = 0? -5, 2 Let h(q) = 8*q**5 + 10*q**4 - 6*q**3 - 4*q + 4. Let p(r) = -r**4 + r**3 + r - 1. Let i = 40 - 32. Let s be 4/10*20/i. Let x(c) = s*h(c) + 4*p(c). Factor x(z). 2*z**3*(z + 1)*(4*z - 1) Determine a so that 2/7*a**3 + 842402/7 - 2594/7*a**2 + 839806/7*a = 0. -1, 649 Let j(m) be the second derivative of -m**7/210 + 13*m**6/150 - 57*m**5/100 + 103*m**4/60 - 41*m**3/15 + 12*m**2/5 - 2427*m. Factor j(u). -(u - 6)*(u - 4)*(u - 1)**3/5 Let 101*h**2 + 26 - 39*h**2 - 62 + 2*h**3 - 42*h**2 + 34*h - 20 = 0. Calculate h. -7, -4, 1 Let n(t) = -t**3 + 2*t**2 + 5*t - 7. Let h be n(3). Let u(l) = l**2 - l + 1. Let f(p) = -3*p**2 - p + 17. Let q(d) = h*u(d) + f(d). Factor q(g). -4*(g - 2)*(g + 2) Let c = 540096 + -540093. Factor 8/9*s + 10/9*s**2 + 2/9*s**c + 0. 2*s*(s + 1)*(s + 4)/9 Let o(z) be the second derivative of -2*z**6/15 - 4*z**5/5 - 2*z**4/3 + 8*z**3/3 + 6*z**2 + 2022*z. Determine b, given that o(b) = 0. -3, -1, 1 Let c(o) be the third derivative of -o**7/70 - 23*o**6/40 - 7*o**5 - 49*o**4/2 + 9069*o**2. Determine z, given that c(z) = 0. -14, -7, -2, 0 Let w(j) be the third derivative of 1/735*j**7 + 1/42*j**4 + 0*j + 0*j**6 - 1/70*j**5 + 0 + 0*j**3 + 42*j**2. Solve w(u) = 0. -2, 0, 1 Let o(l) be the second derivative of 127*l + 3/20*l**6 + 0 - 9/5*l**5 + 11/4*l**4 - 16/9*l**3 + 7/12*l**2. Factor o(z). (z - 7)*(3*z - 1)**3/6 Let i = -1159 - -1172. Let z(m) be the first derivative of 0*m**4 - 3/5*m**5 - i + 0*m**2 + 0*m + m**3. Factor z(l). -3*l**2*(l - 1)*(l + 1) Let g(c) be the third derivative of 7*c**6/120 - 79*c**5/90 - 23*c**4/72 + 747*c**2. Determine l, given that g(l) = 0. -1/7, 0, 23/3 Let m(l) be the first derivative of l**4/4 + 13*l**3/3 - 34*l**2 + 422. Find s such that m(s) = 0. -17, 0, 4 Let z(i) be the third derivative of -2*i**7/105 - 98*i**6/15 - 4224*i**5/5 - 43560*i**4 + 383328*i**3 + 276*i**2 + 8. Solve z(g) = 0 for g. -66, 2 Let r be (15 + 1610/(-105))/((-16)/300). Find s, given that 9/4*s**3 + 0 - 3/2*s - r*s**2 = 0. -2/9, 0, 3 Solve -8*s - 935 + 8*s**2 - 929 + 0*s**3 - 909 + 2*s**3 + 2741 = 0 for s. -4, -2, 2 Let j be 16/(-10) + 2 - (-1568)/80. Let z be (45/j)/(6/32). Factor 3 - 12*l + 9*l**2 - 45*l**2 - 4*l**3 + 5 + z*l**4. 4*(l - 2)*(l + 1)**2*(3*l - 1) Let v(t) be the first derivative of -3*t**7/1540 + t**6/99 - 13*t**5/660 + t**4/66 - 72*t**3 + 54. Let g(n) be the third derivative of v(n). Factor g(f). -2*(f - 1)**2*(9*f - 2)/11 Let c(h) be the third derivative of h**8/10080 - h**7/360 + h**6/36 + 53*h**5/30 + 80*h**2. Let g(l) be the third derivative of c(l). Factor g(q). 2*(q - 5)*(q - 2) Suppose -73*y = -78*y - 180. Let i = -14 - y. What is a in a**2 + a**3 + i*a - a**2 - 2 - 25*a = 0? -1, 2 Let a(z) = -7*z**3 - 20*z**2 + 59*z + 176. Let f(o) = -6*o**3 - 18*o**2 + 57*o + 177. Let y(h) = 3*a(h) - 4*f(h). Solve y(b) = 0. -5, -3, 4 Let o = 147061/16495 - 381/3299. Suppose 24/5*j**4 - o*j**2 + 294/5*j + 8/5*j**5 - 36 - 102/5*j**3 = 0. What is j? -5, -2, 1, 3/2 Suppose 16 + 24 = 10*i. Let f(s) = 4*s - 3. Let r be f(i). Determine h so that 4*h**2 - 8 - r*h + 9*h + 0*h**2 = 0. -1, 2 Let x = -374704/7 + 53530. Factor -1/7*y**2 - 5/7*y - x. -(y + 2)*(y + 3)/7 Let x be 1152/588 + -2 - (-88392)/4704. Factor -45/4 - x*t - 35/4*t**2 - 5/4*t**3. -5*(t + 1)*(t + 3)**2/4 Suppose -411 - 306 = -270*b + 31*b. Solve -27/4*u**b - 105/2*u**2 - 357/4*u + 45/2 = 0. -5, -3, 2/9 Let u(f) be the second derivative of 17/66*f**4 - 1/110*f**5 - 81/11*f**2 - 21/11*f**3 + 0 - 108*f. Factor u(h). -2*(h - 9)**2*(h + 1)/11 Let h(n) be the third derivative of -n**7/2520 + n**6/180 + n**4/4 - 5*n**3/6 + 27*n**2. Let x(p) be the second derivative of h(p). Let x(d) = 0. Calculate d. 0, 4 Let k(a) be the first derivative of a**6/2 + 9*a**5 - 33*a**4/4 - 147*a**3 + 393*a**2 - 360*a - 912. Find j such that k(j) = 0. -15, -4, 1, 2 Determine n so that 211/2*n + 1/2*n**2 - 106 = 0. -212, 1 Let w(y) be the third derivative of -3*y - y**2 + 0*y**5 + 0 + 1/105*y**7 + 0*y**4 + 1/60*y**6 + 0*y**3. Solve w(x) = 0. -1, 0 Factor 4174357/2*c**2 - 53596587/4*c + 82163961/4 + 63645/2*c**3 + 1/4*c**5 + 621/4*c**4. (c - 3)**2*(c + 209)**3/4 Let h(d) be the third derivative of 0*d**4 - 1/357*d**7 + 2*d - 30*d**2 + 1/170*d**6 + 0 - 1/2856*d**8 + 0*d**3 + 0*d**5. What is i in h(i) = 0? -6, 0, 1 Suppose -68 - 65 + 25 = -54*r. Let f(n) be the third derivative of -1/24*n**3 + 0 + 0*n**4 - r*n**2 + 0*n + 1/240*n**5. Let f(o) = 0. Calculate o. -1, 1 Let k = -87316/33 + 2646. Let h(n) be the second derivative of 0 - 1/22*n**5 - 14*n + 1/33*n**3 + 0*n**2 - k*n**4. Factor h(y). -2*y*(y + 1)*(5*y - 1)/11 Let z(p) be the first derivative of -p**5/10 - 3*p**4/4 + 8*p**2 + 1. What is f in z(f) = 0? -4, 0, 2 Let o(u) be the first derivative of 3/4*u**2 - u + 2*u**3 + 7/8*u**4 + 68. Determine x, given that o(x) = 0. -1, 2/7 Suppose -b = 5*o - 22, -37*b + 42*b = 4*o - 6. Factor 0 + 21/8*l**3 + 27/8*l + 3/8*l**o + 45/8*l**2. 3*l*(l + 1)*(l + 3)**2/8 Solve -182/3*k**2 + 2/3*k**3 - 754/3*k - 190 = 0 for k. -3, -1,
{ "pile_set_name": "DM Mathematics" }
et r = -179 - -1251/7. Let k = 837 + -842. Which is the nearest to r? (a) 3 (b) k (c) 0 c Let y be 3/(2*15/6). Let v = -1 + y. Which is the closest to 1? (a) -1 (b) 13 (c) v c Let n = 0.31 + -0.16. Let k = -3.1 + 0.1. What is the closest to n in 0.3, k, 4/5? 0.3 Let c = 0.1045 - 0.0545. What is the closest to -5 in -1, -1/5, c? -1 Let m be 4/(-14)*(-14 + 784/48). Which is the nearest to -0.1? (a) 2/11 (b) -3 (c) m (d) 5 a Suppose 4 = -68*i + 70*i. Let n be i/9 - 80/(-180). Which is the nearest to n? (a) 1/3 (b) -0.22 (c) -0.2 a Let l = -0.34 + 4.34. Let i = -7 + l. Which is the nearest to i? (a) 2 (b) 0.4 (c) -5 c Let l = 0.0266 - 0.0866. Suppose 0 = -3*s + 8*s. What is the nearest to -1 in s, l, -0.5? -0.5 Let l = 0 + 0.5. Let y(o) = 60 - 11*o + 0*o**2 + 4*o**2 - 64. Let i be y(3). What is the closest to i in 4, l, 2? l Let t = -4.052 + 0.052. Let w be (-2)/6 + 3/36. What is the closest to 0.2 in 2/13, w, t? 2/13 Let v = -0.6 + -6.4. Let g = v - -3. Let q be (-6)/2*6/(-9). Which is the nearest to 0.1? (a) -5 (b) q (c) g b Let g = 10.56 + -10.86. Let o(p) = -p**3 - 4*p**2 - p - 3. Let h be o(-4). Which is the closest to -5? (a) h (b) g (c) -4 c Let q = 39 - 34. Let t = -5 - -4. Which is the nearest to t? (a) 0.1 (b) q (c) -0.4 c Let x(b) = b**3 + 7*b**2 - 23*b + 70. Let h be x(-10). What is the closest to h in 167, 3, -1, -0.3? -0.3 Let k be ((-18)/8)/((-9)/(-24)). Let z be (-2)/(-3)*k/20. Let p = -54 - -164/3. Which is the closest to 0? (a) p (b) z (c) -1/3 b Let k = -184 - -59. Let g = k - -124.9. What is the closest to g in 8, -1, 1? -1 Let p = 12.4 + -4.4. Let i = 43 + -48. What is the nearest to 2/7 in 2, i, p? 2 Let j be (-280)/(-2)*(-7)/(-14). Let q be (-21)/j*8/18. Let y = -0.35 - 0.05. Which is the closest to -3/5? (a) q (b) 0.4 (c) y c Let w = -0.3 - -0.3. Let i = 1.12 + -3.08. Let h = 0.04 - i. Which is the closest to w? (a) -0.4 (b) h (c) 2/9 c Let g be (230 - 224)/(1 + 0 + 2). Let z(k) = k**3 - 1. Let s be z(0). Which is the closest to -1/4? (a) g (b) s (c) 3 b Let o = -33.2 - -34.2. Which is the nearest to 0? (a) 37 (b) o (c) 2/13 c Let o = -24 - 47. Let n = o + 76. Let h = 199/35 + -27/5. Which is the nearest to h? (a) 2/5 (b) 2/3 (c) n a Let s be (-2170)/20*(-1)/(-2). Let f = -55 - s. What is the closest to f in 3, -1/6, -4? -1/6 Suppose 4*r - 5*x + 8*x = 67, -3*r - 3*x = -51. What is the nearest to 0.4 in 3/7, -0.2, -4, r? 3/7 Let a = 17.85 + -17.8. What is the closest to a in -3, 1, 0.2, -1/6? 0.2 Suppose c - 11 = 2*r + 2*r, 4*r + 21 = -c. Let p = 2 + -1. Suppose 0 = -2*t + 533 - 527, 3*w = -3*t + 18. What is the nearest to p in w, c, -4? w Let p be (-90)/150*(-4)/(-3). Which is the nearest to -2? (a) 0.2 (b) 2 (c) p c Let o = -17 - -16.6. Let t = 149.5 - 149. Which is the nearest to t? (a) o (b) 2/13 (c) 0 b Let g = -61/192 - 1/64. Let f = 0.02 + -4.02. Which is the nearest to 2/3? (a) f (b) 1/2 (c) g b Let g = 7.94 - -0.06. Let s = -8.8 - -11.8. Let t = s - g. What is the nearest to 0 in -4, -2, t? -2 Let w(o) be the third derivative of o**4/12 + 7*o**3/2 + 19*o**2. Let z be w(-10). What is the closest to z in 5, -0.4, -4? -0.4 Let p = 488 + -484. What is the nearest to p in 2, 0.5, -1/2? 2 Let j be (2/(-63))/((-15)/35). Let w = -68/189 + j. What is the nearest to -1 in -1/3, -1, w? -1 Let o = -4.688 + -0.012. Let y = 0.7 + o. Which is the nearest to 0.1? (a) y (b) 1/2 (c) 5 b Let k(j) = j**2 + 5*j - 5. Let p be k(-6). Let b be (0 + 0)*(p - 0). Let z = -21.97 - -16.97. What is the nearest to 0.1 in -1/9, z, b? b Suppose 517 = 5*m + 52. Let n = -463/5 + m. Let a = 19 + -18.9. What is the nearest to a in n, 0.3, 0? 0 Let n = -559.8 + 560. Which is the nearest to 1? (a) 5 (b) -93 (c) -4 (d) n d Suppose 0*k + 27 = k + 3*j, 0 = -3*j + 3. Let w be ((-2)/k)/(4/8). Let z = -0.25 + -0.05. Which is the closest to -1/2? (a) z (b) w (c) 1 a Let o be (1 - (-1)/(-4))/((-6)/4). Let d = 12 + -59/5. Let r = 229/11 - 21. Which is the closest to -1/3? (a) d (b) r (c) o b Let y = -1861 + 1865. Which is the closest to -2/5? (a) -0.5 (b) -4 (c) y (d) 2 a Let s(o) = 40*o + 240. Let z be s(-6). What is the nearest to z in -2/3, -3, -2/13? -2/13 Let k = -1031/156 + 248/39. Let h = 0.9 + 0.1. What is the nearest to -9 in k, -5, h? -5 Let y = 37 - -54. Let d = y + -93. Suppose -3*i = -2*i + 5. What is the closest to 0 in d, -1, i? -1 Let q be (65/26)/(165/12). Which is the closest to 1? (a) 3 (b) 22 (c) -3/5 (d) q d Let u(w) = 4*w**2 + 21*w - 16. Let r be u(-7). Let d = r + -38. What is the nearest to -2/11 in d, 1, -1? -1 Let p = 3.1 + 19.9. Let o = 23.4 - p. Suppose -k + 3*k = -2. What is the nearest to k in -2, -2/7, o? -2/7 Let v = 0 - 0.1. Let y = 1747 - 1748. What is the closest to v in -0.03, y, -4? -0.03 Let g = 1008 - 1006. Let o be (-1 + (-1 - 1))/(-1). Suppose o*t - t - g = 0. What is the closest to -0.1 in -3, -5, t? t Let q be (1 - -1)*105/14. Let z = -21 + q. Let s be (-13 + 11)/(-6 + 0). Which is the nearest to -1/4? (a) s (b) z (c) 0 c Let d = 0.4 - 0.3. Let r(j) = -5*j + 6. Let x(w) = 4*w - 5. Let z(s) = 5*r(s) + 6*x(s). Let f be z(1). What is the closest to f in -0.5, d, -2/9? -0.5 Let b(y) = y**3 + 10*y**2 + y + 8. Let q be b(-10). Let t = -1404.97 - -1412. Let f = t + -7. What is the nearest to -2/7 in f, q, 2? f Let c = -0.66 - -0.646. Let t = -0.386 + c. What is the closest to -1 in t, 0.1, -5? t Let v = 1817/7 + -260. Let f = -313 + 314. What is the nearest to f in 2/15, v, -4? 2/15 Let j = 121.73 - -0.27. Let w = -129 + j. Which is the closest to 2/5? (a) w (b) 2 (c) 1 c Let g = 0.21 - 4.21. Let f(w) = -2*w**2 + 13*w - 5. Let r be f(6). What is the nearest to r in 0.4, -1/4, g? 0.4 Let z = 707/5 - 141. Let i be -5 + (3 - -9) + -5*1. What is the nearest to z in i, 5, 0.3? 0.3 Suppose 3*b = 4*d - 4, -3*d + 12 - 9 = 4*b. What is the closest to d in 5, -2, -0.14? -0.14 Let w = -53.9 + 53.7. What is the nearest to 0.02 in w, 2, -23? w Let v = -268/897 - -10/69. Let k = 59 + -84. Let z = 124/5 + k. Which is the closest to -1? (a) z (b) -4 (c) v a Let i = -149 + 149.2. Let r = 10.3 + -1.3. Let n = 8.8 - r. What is the closest to 1 in 1/2, n, i? 1/2 Suppose 12 = -o - 2*o. Let m = -0.373 + 0.173. What is the closest to m in 0.2, -3, o? 0.2 Let v be (-8 + -2)/(36/(-5 - -2)). What is the closest to v in -2, -0.5, -0.2? -0.2 Let z = -12.1 - -11.02. Let r = -0.88 - z. Suppose -2*o = 3*o - 20. Which is the nearest to 1? (a) o (b) r (c) -0.5 b Suppose -4*i + 2*l + 28 = 0, -3*l + l = -2*i + 18. Suppose 0 = -d + 6*d - i. What is the closest to d in -1/8, -0.4, 2? 2 Let u be (156/65)/((-1)/10). Let m = -26 - u. What is the closest to -1 in 1, -4, m? m Suppose -3*h + 4 = -2*h, 5 = 3*x - h. Suppose 0 = 5*t + 3*m - 19, t - 3*m + 3 = -2*t. Let l be t*(-1)/2 + x. What is the nearest to -1 in -0.1, l, -0.06? -0.1 Let a = 41.5 - 42.5. What is the closest to -3 in a, 0.1, -0.07? a Let q = -15.94 + 16. Let k = 0.04 + -0.04. Let d = 5.6 + -6. Which is the nearest to q? (a) -1 (b) d (c) k c Let n = 0.051 + 0.049. Suppose g - 2 = -w, 5*g = 4*w + 7 - 24. What is the nearest to g in 5, -0.03, n? -0.03 Let c = 0.042 + -0.042. Let g = 6 - 5. What is the nearest to g in 1, -9, c? 1 Let y = -0.4 - 5.6. Let h be (3/117)/(28/(-1812)). Let w = -29/13 - h. Which is the nearest to -1? (a) -5 (b) w (c) y b Suppose 5*c - 3*h - 7 - 10 = 0, -c = h + 3. What is the nearest to 0.3 in -0.13, c, -3? -0.13 Let b be -1 - (7/(-9) + 0). Let j = -48 - -47.87. Let k = 3.13 + j. What is the closest to -2 in k, -3/2, b? -3/2 Let i be (-1)/(-2)*(-17 + 17). Let b be (-6)/21 - (i + 0). Let j = 0.94 - -0.06. What is the nearest to 2 in 2, b, j? 2 Suppose -y - 18 = 5*x, x = 2*y - 5 - 3. Let t be 2 + (-1 - y) - 20/(-15). Suppose 0*f - 2*f = 2. Which is the nearest to t? (a) -4 (b) 3 (c) f c Let g = 37 - 24. Let z = 15 - g. Which is the nearest to -0.1? (a) z (b) 5 (c) 0 c Let q = -101/17 - -337/51. Which is the nearest to 10? (a) -2/5 (b) 0.3 (c) -1/6 (d) q d Let q = 1/13 - -19/91. Let z = -0.09 + -2.91. Let w = 1 - 2. What is the closest to q in 0, z, w? 0 Let n = -1280 - -1279. What is the closest to -1/5 in -0.06, 0.2, 0.4, n? -0.06 Let o = 0.0053 + -0.2053. Which is the closest to
{ "pile_set_name": "DM Mathematics" }
ve m(89). -20 Let c(l) = l**3 + 27*l**2 - 1096*l - 29172. What is c(-26)? 0 Let m(s) = s**3 - 74*s**2 + 75*s + 1032. Determine m(73). 1178 Let r(x) = 557*x - 197585. Determine r(354). -407 Let u(b) = -b**3 - 151*b**2 + 2668*b - 626. What is u(-167)? 42 Let s(x) = 35527*x + 106515. What is s(-3)? -66 Let q(k) = 2*k**3 - 239*k**2 + 3657*k - 63. Calculate q(18). -9 Let s(f) = -3*f**3 - 454*f**2 + 749*f - 295. Give s(1). -3 Let f(c) = 229*c**2 + 1449*c + 514. Determine f(-6). 64 Let y(t) = -266*t**3 + t**2 - 143*t - 146. Give y(-1). 264 Let n(l) = 4*l**3 - 5*l**2 + 387*l - 1577. Give n(6). 1429 Let b(u) = 2732*u + 221338. Calculate b(-81). 46 Let x(l) = -4*l**2 + 228*l + 6. Calculate x(53). 854 Let o(q) = -2953*q + 26591. Determine o(9). 14 Let y(o) = -87830*o - 1756597. Determine y(-20). 3 Let s(c) = 2*c**2 + 93*c + 702. Give s(-10). -28 Let c(a) = -2*a**2 - 458*a - 17358. Determine c(-181). 18 Let x(y) = y**2 + 2956*y - 29485. Calculate x(10). 175 Let a(s) = -s**3 - 45*s**2 + 3923*s - 11. What is a(44)? 297 Let t(x) = -1446*x - 19223. Calculate t(-15). 2467 Let y(j) = -47*j**2 + 1248*j - 4703. Determine y(22). 5 Let k(d) = -557*d + 3080. Calculate k(6). -262 Let d(x) = 88591*x + 354342. Determine d(-4). -22 Let k(h) = 2*h**2 - 165851*h - 663436. What is k(-4)? 0 Let s(j) = 3*j**3 - 71*j**2 + 388*j - 57. Determine s(6). 363 Let b(t) = -5*t**3 + 4*t**2 - t + 339. Calculate b(0). 339 Let w(g) = -3*g**3 + 32*g**2 - 41209*g + 453416. What is w(11)? -4 Let b(c) = -15008*c - 75051. Calculate b(-5). -11 Let m(p) = -31*p**2 + 51*p - 17. Calculate m(-4). -717 Let w(d) = 13*d**3 + 1771*d**2 + 291*d - 15929. Calculate w(-136). -17 Let u(l) = -4*l**2 + 10271*l - 10270. Give u(1). -3 Let f(n) = -n**3 + 41*n**2 + 34*n - 19. Determine f(42). -355 Let x(h) = 99*h**2 - 1077*h - 158. Calculate x(11). -26 Let w(t) = -254*t**2 - 17019*t - 75. Calculate w(-67). -8 Let x(m) = m**2 - 156*m - 4763. Give x(-26). -31 Let o(g) = -6*g**3 + 95*g**2 + 10*g + 90. Determine o(16). -6 Let s(c) = c**3 - 141*c**2 - 2866*c + 612. What is s(159)? -24 Let s(o) = -2*o**2 - 98*o - 407. Give s(-29). 753 Let r(l) = -39*l**2 - 8286*l - 8281. Determine r(-1). -34 Let a(i) = -i**3 - 53*i**2 - 293*i + 191. Give a(-47). 708 Let o(z) = z**2 - 274*z - 4637. Determine o(-16). 3 Let u(g) = -3*g**3 + 21*g**2 - 135*g - 14. Give u(8). -1286 Let n(s) = 5*s**2 + 420*s - 5212. Give n(11). 13 Let h(l) = -10*l**2 - 425*l + 674. Calculate h(-44). 14 Let v(i) = -4*i**2 + 32*i + 13343. Calculate v(-54). -49 Let b(j) = 20*j**2 + 156*j - 35. Give b(-7). -147 Let t(f) = 32*f**2 - 9911*f - 19827. What is t(-2)? 123 Let w(t) = t**3 + 261*t**2 - 1608*t - 1598. What is w(-267)? 4 Let n(k) = 71*k**2 + 1400*k - 348. Determine n(-20). 52 Let r(i) = 335580*i - 7. Determine r(0). -7 Let o(g) = -368464*g + 2210786. Give o(6). 2 Let o(q) = 17818*q + 179246. What is o(-10)? 1066 Let d(c) = -704*c - 95924. Give d(-138). 1228 Let f(o) = -10*o**3 - 1101*o**2 - 140*o - 1272. Calculate f(-110). 2028 Let n(q) = 2*q**3 - 1597*q**2 + 3194*q - 4. What is n(2)? 12 Let m(f) = -3*f**2 + 785*f - 50597. What is m(115)? 3 Let a(u) = -2*u**3 + 87*u**2 - 1345*u + 21486. What is a(33)? -30 Let n(w) = -5*w**3 + 191*w**2 - 44*w + 187. Determine n(38). -41 Let u(z) = -z**2 - 1288*z - 90980. Calculate u(-75). -5 Let d(k) = -623*k - 52279. Give d(-84). 53 Let z(c) = 1115*c + 24758. Determine z(-20). 2458 Let t(m) = -4259*m + 851810. What is t(200)? 10 Let h(q) = -293232*q - 3225531. Calculate h(-11). 21 Let f(i) = -11*i**3 - 1508*i**2 - 135*i + 272. Calculate f(-137). -2 Let t(h) = 4*h**2 - 30262*h + 30263. What is t(1)? 5 Let b(u) = -u**3 - 2*u**2 - 637*u + 3234. What is b(5)? -126 Let p(q) = 709*q + 2027. What is p(-2)? 609 Let j(a) = 3299*a + 50017. Calculate j(-15). 532 Let q(j) = 5650891*j + 22603569. Calculate q(-4). 5 Let v(n) = n**3 - 252*n**2 + 5487*n - 2936. What is v(228)? 484 Let g(j) = -j**3 + 20*j**2 - 257*j + 4810. Calculate g(20). -330 Let g(l) = l**3 + 44*l**2 + 485*l - 23108. Give g(16). 12 Let m(k) = -66*k + 1330. What is m(34)? -914 Let m(s) = -s**3 - 52*s**2 + 458*s + 188. What is m(8)? 12 Let u(c) = 4762*c + 1376237. Determine u(-289). 19 Let j(q) = -14414*q - 71852. Give j(-5). 218 Let u(h) = 9386*h + 84420. Calculate u(-9). -54 Let k(f) = 7*f**3 - 363*f**2 - 444*f + 926. Calculate k(53). -134 Let f(o) = -80752*o + 3795356. Give f(47). 12 Let i(c) = 5*c**2 + 2804*c - 16833. Give i(6). 171 Let b(x) = -2*x**3 - 1131*x**2 - 4899*x + 84152. Give b(-561). 2 Let r(q) = -3*q**2 + 1318*q + 25631. What is r(458)? -17 Let y(v) = -56*v**2 + 3810*v - 109. Determine y(68). 27 Let r(p) = 6*p**2 - 186*p + 1024. Determine r(20). -296 Let r(m) = -2*m**3 - 578*m**2 - 26785*m + 2561. Determine r(-231). 20 Let s(i) = i**3 + 116*i**2 + 124*i + 617. Determine s(-115). -418 Let v(x) = -2*x**2 - 8104*x - 3533676. Calculate v(-497). -6 Let o(y) = -660652*y - 3963904. Determine o(-6). 8 Let c(m) = 349*m**3 + 1027*m**2 - 61*m - 9. Calculate c(-3). -6 Let c(i) = 11572*i + 358768. Determine c(-31). 36 Let g(w) = 143*w - 1438. Give g(10). -8 Let y(s) = 2*s**3 + 158*s**2 - 842*s + 712. Give y(-84). 880 Let g(d) = -4*d**2 - 36*d - 616. Give g(-15). -976 Let b(h) = 8*h**3 - 38*h**2 - 195*h - 58. Determine b(8). 46 Let p(l) = -8*l**2 + 116*l + 527. Calculate p(17). 187 Let t(i) = -i**3 + 199*i**2 + 2241*i - 81. Calculate t(-11). 678 Let j(s) = -s**3 - 78*s**2 + 178*s - 1775. Give j(-81). 3490 Let o(h) = 152*h**2 + 5038*h + 1130. Calculate o(-33). 404 Let w(q) = 403130*q - 1209382. What is w(3)? 8 Let f(d) = 142*d + 12361. Give f(-99). -1697 Let a(d) = -434*d + 16893. Calculate a(47). -3505 Let b(n) = -n**3 + 775*n**2 - 134902*n - 481. Give b(264). 47 Let c(t) = 3*t**3 - 15*t**2 - 2079*t + 8309. Determine c(4). -55 Let z(h) = -37*h**3 - 3011*h**2 - 1139*h - 409. What is z(-81)? -4 Let n(y) = 2*y**2 - 2460*y - 1144803. Calculate n(-360). -3 Let g(y) = 29*y**2 - 1993*y - 541. Calculate g(69). 11 Let a(v) = v**3 + 17*v**2 - 154*v - 2852. What is a(-17)? -234 Let t(q) = 5*q**3 - 1124*q**2 - 9552*q - 187. Determine t(233). 46 Let a(b) = 3409*b + 23946. Calculate a(-7). 83 Let s(q) = -529*q + 158185. Calculate s(299). 14 Let n(g) = 79*g**2 + 695*g + 22. Give n(-9). 166 Let l(d) = 95*d**2 - 1330*d + 313. Determine l(14). 313 Let c(v) = 2*v**3 - 12*v**2 - 114*v + 848. Calculate c(9). 308 Let o(p) = -105*p**2 - 1362*p + 2727. Give o(2). -417 Let g(v) = -20*v**2 - 214*v + 3098. Calculate g(-19). -56 Let p(d) = 36039*d - 468496. Determine p(13). 11 Let s(u) = u**3 - 1783*u**2 - 12627*u - 672. Calculate s(-7). 7 Let b(t) = 1092*t - 218277. Determine b(200). 123 Let n(s) = -5*s**3 + 43*s**2 + 10*s - 58. Give n(1). -10 Let l(h) = 1596*h - 23418. What is l(14)? -1074 Let z(x) = -x**2 + 200*x - 2912. Give z(15). -137 Let u(g) = -109*g - 5378. Give u(-60). 1162 Let f(y) = 5*y**2 - 169*y - 693. Calculate f(-4). 63 Let h(m) = 337*m + 66846. Determine h(-195). 1131 Let u(m) = -6*m**2 + 124*m - 595. What is u(12)? 29 Let n(i) = 15*i**3 + 368*i**2 - 2254*i - 18. Determine n(6). 2946 Let c(w) = 443*w + 20795. Calculate c(-47). -26 Let s(c) = 75*c + 15655. Determine s(-201). 580 Let o(t) = -t**3 + 559*t**2 - 4398*t - 5500. Determine o(551). 10 Let f(m) = -m**3 + 19*m**2 + 919*m - 6003. Determine f(6). -21 Let r(o) = -148642*o**2 - 1635064*o - 16. What is r(-11)? 6 Let l(z) = 2068*z - 43421. Determine l(21). 7 Let b(d) = -2087*d**3 - 5*d**2 - 4*d - 3. Determine b(-1). 2083 Let i(m) = -20*m**3 + 19030*m**2 - 18977*m - 53. Give i(1). -20 Let r(c) = -2*c**2 + 792*c + 14878. Calculate r(-18). -26 Let d(n) = n**3 + 165*n**2 - 1011*n - 140277. Calculate d(-166). -7 Let k(n) = 4*n**2 + 774*n - 4356. Calculate k(-199). 22 Let n(k) = 2*k**3 + 79*k**2 - 365*k - 20354. Determine n(-37). -4 Let d(q) = -8*q**2 - 2606*q - 212083. Give d(-167). 7 Let g(a) = -1045*a - 11311. Determine g(-10). -861 Let l(s) = -3*s**3 + 437*s**2 + 188*s - 6136. Give l(146). -4 Let f(i) = -3657*i**2 - 65820*i - 30. What is f(-18)? -138 Let h(d) = 2026*d + 2889. Determine h(-1). 863 Let t(z) = -152165*z - 5782223. Calculate t(-38). 47 Let g(u) = 5*u**2 - 1355*u - 10929. Determine g(-8). 231 Let w(b) = 4512*b + 45118. Calculate w(-10). -2 Let g(c) = 4682*c - 107674. What is g(23)? 12 Let p(a) = 2*a**2 + 558*a + 2
{ "pile_set_name": "DM Mathematics" }
ing order. o, f, 4 Let s = -60 + 69. Sort 3, s, 0 in ascending order. 0, 3, s Suppose 7 + 8 = 3*d. Put d, -2, 0 in descending order. d, 0, -2 Let d = -3.8 + 0.8. Let t = d + 3. Let o = -1 - t. Put -2, o, -3 in decreasing order. o, -2, -3 Let m(v) = v**3 - 22*v**2 - 22*v - 25. Let y be m(23). Sort y, -4, 0 in descending order. 0, y, -4 Let y = 16 + -51. Let h be (-56)/y - (-3)/(-5). Sort -4, -3, h in descending order. h, -3, -4 Let o = 47 + -44. Let k = -1 + 0. Sort o, k, 5 in decreasing order. 5, o, k Let b(q) = q**3 + 18*q**2 + 4. Let l be b(-18). Sort l, 1, -1 in decreasing order. l, 1, -1 Let k(g) = g**2 + 5*g - 6. Let s be k(-6). Let t = s + 5. Suppose 0 = -2*a + 4*a - 2. Put -2, t, a in decreasing order. t, a, -2 Suppose -2*y = -5*y. Let z(m) = m**3 + 9*m**2 + 10*m + 12. Let t be z(-8). Sort t, 4, y in descending order. 4, y, t Suppose 17*c = 15*c + 6. Put -4, -1, c in decreasing order. c, -1, -4 Let w(s) = -s + 1. Let c be (-6 - -1)*12/(-20). Let p be w(c). Put 0, 3, p in decreasing order. 3, 0, p Let g = -37 + 36.86. Put 4, g, 1 in descending order. 4, 1, g Let z = 321 + -2251/7. Let h = -5 - -5.3. Let s = -0.05 + 4.05. Sort s, h, z in descending order. s, h, z Let i(b) = -b**3 + 6*b**2 + b - 4. Let r be i(6). Sort -2, r, -4 in descending order. r, -2, -4 Let h = -8 + 11. Suppose -d + 5 = -2*i, 0 = i + 4*d + 5 + 2. Sort -1, i, h in increasing order. i, -1, h Let l = 1.4 + -1.6. Put -2, -0.4, l, 3/4 in increasing order. -2, -0.4, l, 3/4 Let c = 0.006 + 0.094. Let o be 19/(-7) + 4/(-14). Put c, o, -1/5 in decreasing order. c, -1/5, o Let o = -18.1 + 17.01. Let p = -0.09 - o. Sort -0.5, 6, p in increasing order. -0.5, p, 6 Let r = 15 - 12. Sort r, 4, -4/3 in descending order. 4, r, -4/3 Let s be (-2 - -5) + 3 + -5. Let p = -6 - -4. Let w = p + 1. Put s, 2, w in decreasing order. 2, s, w Suppose -g - s = 4, -4*s = 3*g - 5*s + 12. Sort 1, 2, g in increasing order. g, 1, 2 Let f = 7 - 24. Let s = 14 + f. Sort s, 1, 2 in descending order. 2, 1, s Suppose -f + 3*f = -4, -5*f - 10 = -5*u. Let a = 37 - 16. Let t be (-74)/14 - (-6)/a. Put 3, t, u in decreasing order. 3, u, t Let s = 4 - 0. Let b(n) = n**2 - 3*n - 35. Let f be b(8). Sort f, s, -5. -5, s, f Suppose 0*t - 3*t + z + 11 = 0, 2*t = -3*z + 11. Suppose -9 = -5*w + q, -3*w - 3*q + t - 13 = 0. Sort -7, w, 2 in ascending order. -7, w, 2 Let j(q) = q + 3. Suppose -3 - 27 = 5*r. Let m be j(r). Sort -4, m, 0 in descending order. 0, m, -4 Suppose 4*t + 6 = -6. Let y = 0 + -1. Sort y, -0.4, t in decreasing order. -0.4, y, t Let x = -41 + 286/7. Let r = 0.2 + 2.8. Sort r, 2, x. x, 2, r Let y = 6.86 - -0.14. Let u = y + -5. Sort 0.2, 2/5, u. 0.2, 2/5, u Let f(d) = -d - 12. Let t be f(-7). Let r be 86/8 + 3/12. Put 3, t, r in increasing order. t, 3, r Suppose -o - o = 8. Put o, -3, 3 in decreasing order. 3, -3, o Suppose -3*f = -f - 6, 4*f - 3 = -3*t. Suppose 0 = -0*o - 2*o + 8. Suppose v - 7 = 5*v - 3*y, -o*v + 4*y = 8. Sort v, t, -4. -4, t, v Let l be ((-2)/(-4))/((-4)/(-24)). Let n(z) be the second derivative of z**4/12 - z**3/2 + z**2/2 - z. Let y be n(2). Sort 2, l, y. y, 2, l Suppose -3*g + 20 = -g. Let r be (-1)/(-3) + (-4)/g. Let c = r + -3/5. Sort c, 0.3, 0.2 in decreasing order. 0.3, 0.2, c Let y be 2/(-9) - 25/9. Let h be (2/4)/(1/(-2)). Put -2, h, y in increasing order. y, -2, h Let z be (-6)/3*(-23)/2. Suppose 0 = -4*c + 12, q - 5*q + z = c. Put q, 3, 1 in ascending order. 1, 3, q Let l be 20/(-30)*(-6)/(-22). Put -5, l, 0.4 in descending order. 0.4, l, -5 Let y(l) = -l**2 + 10*l + 2. Let x be y(10). Let m be (-10)/4*(-3)/(-30). Let v = 0.7 + -0.3. Sort x, v, m in increasing order. m, v, x Let g be (-117)/(-26) - (-4)/(2 - 3). Sort -5, -24, g, 4 in increasing order. -24, -5, g, 4 Let t = 61.2 + -61. Sort 5, -3, t in decreasing order. 5, t, -3 Let w be ((-3)/5)/((-96)/60). Put w, 1, -3 in decreasing order. 1, w, -3 Let a = -0.1322 + 0.0322. Let z = 127 + -1141/9. Put z, -3, a in ascending order. -3, a, z Let s = 2.2 + -2.4. Put s, 5, -0.4 in decreasing order. 5, s, -0.4 Let g(k) = 11*k**3 - 2*k**2 + 2*k - 1. Let b be g(1). Put b, 0.5, -5 in descending order. b, 0.5, -5 Let x = 3 + -6. Let y = 7.1 - 4. Let n = x + y. Sort -3, 3, n in descending order. 3, n, -3 Let k = 0.2 - 0. Let o be (22/(-4) - -3)*-2. Sort 4/3, k, o in decreasing order. o, 4/3, k Let z = -1 - -1.5. Let f(c) = 2*c**2. Let g be f(-1). Put z, 2/5, g in ascending order. 2/5, z, g Suppose -3*z + 5 + 4 = 0. Let l = 0.0087 - 0.0087. Sort -0.1, z, l in increasing order. -0.1, l, z Let q = 3 - 5. Let m = -4 - q. Sort 1, 3, m. m, 1, 3 Let o = 8 + -6. Let d = -4 + o. Sort d, -0.5, -1. d, -1, -0.5 Let k be 24/51*(-3)/12. Let c = -13 + 12. Sort 1, c, k in decreasing order. 1, k, c Let d(o) = -2*o**3 - o**2 - o. Let h be d(-1). Let c be 3/(h/(8/(-6))). Sort 4, 0, c. c, 0, 4 Let y = -1.2 - -2.5. Let a = y + -1. Put 5, -1/3, a in decreasing order. 5, a, -1/3 Let m = -17123219/92 - -186124. Let n = m - 30/23. Let h be 2/(-4)*(6 + -4). Sort n, 2, h in decreasing order. 2, n, h Let u(v) = v**3 + 4*v**2 + v. Let q be u(-4). Let d = -27 - -14. Let h = d - -18. Put q, h, -2 in decreasing order. h, -2, q Let f = -232/3 - -78. Let k = 8 - 11. Sort 2, f, k in decreasing order. 2, f, k Let j = 7 - -1. Let z = 7.5 - j. Put z, 0, 0.4 in ascending order. z, 0, 0.4 Let n = 45 + -44.9. Sort -1/5, 2, -1/4, n in increasing order. -1/4, -1/5, n, 2 Let r = -2 - -1.92. Let q = 16.6 - 20.68. Let a = r - q. Put -0.2, a, -5 in ascending order. -5, -0.2, a Let v be 2 + -1 + (-5)/3. Let i = -34 - -47. Let s = i - 13. Sort v, s, -2 in decreasing order. s, v, -2 Let c = 177 + -1243/7. Sort c, -2/5, -2 in increasing order. -2, c, -2/5 Suppose 3*z = 84 - 714. Let j = 833/4 + z. Let p = -2 - j. Sort p, -2, -5 in descending order. p, -2, -5 Let z be -2 - (-2 - (-3 - -2)). Put z, -4, 3 in descending order. 3, z, -4 Let u = -307765/84 + 14605/4. Let y = -37/3 - u. Sort -4, y, 2. -4, y, 2 Let r = 24 + -24. Sort -1/8, r, 2, 1/4. -1/8, r, 1/4, 2 Let l = 0.8 - 0. Let d = 1 - l. Let a = 9 - 8.5. Sort d, 1, a. d, a, 1 Let a be (-2)/(-3) + 2/6. Let w = 2.94 - -0.06. Sort a, w, -1. -1, a, w Suppose 5*u - 24 = 3*u. Let d be u*1*(-12)/36. Let l = -2 - -5. Put 0, d, l in decreasing order. l, 0, d Let i(u) = -6*u + 5*u - 3*u**3 + 11 + 8*u**2 + 2*u**3. Let f be i(8). Put f, 2, -6 in descending order. f, 2, -6 Let o = -0.9 + 0.9. Put -8/9, -1, o in decreasing order. o, -8/9, -1 Let v(w) = -w**2 + 6*w + 7. Let o be v(7). Sort 4, -3, o in ascending order. -3, o, 4 Let q = -128 + 124. Sort -6, q, -5 in decreasing order. q, -5, -6 Let u = -10 - -18. Let a = -11 + u. Sort 4, 0, a in descending order. 4, 0, a Suppose 0 = -5*q + 14 + 1. Suppose -5*s + 10 = 3*u, q*s - 2*s - u = 10. Suppose 4*f - 2*f + 10 = 0. Sort f, -4, s in descending order. s, -4, f Let i = -3 - -1. Let c be (48/(-28))/6 - 10/14. Sort 0, i, c. i, c, 0 Suppose -3*l + 5*l - 5*j = 12, -3*l + 2*j + 18 = 0. Let n(x) = -x + 6. Let t be n(l). Put -2, t, 2 in descending order. 2, t, -2 Let o = -41 + 41. Put o, -4, 2 in descending order. 2, o, -4 Let p be 2/4 - (-20)/8. Let w = -7.2 + 7.6. Sort -3, w, p. -3, w, p Let p = 0.229 + -0.029. Put p, 63, -3/5 in decreasing order. 63, p, -3/5 Suppose b = h - 3*h + 6, 0 = 2*b - 5*h - 48. Suppose -b = 2*i - 6. Sort 0, i, 5 in decreasing order. 5, 0, i Let k(a) = a**3 + 19*a**2 + 19*a + 23. Let b be k(-18). Sort b, 15, -2 in ascending order. -2, b, 15 Let v = 182 + -2364/13. Let s be (-3)/1*2/(-3). Put v, -2/3, s in decreasing order. s, v, -2/3 Suppose -8*a - 11 = -43. Sort 1, -50, a in descending order. a, 1, -50 Suppose -5*n = -2*o, 0 = 3*n - 4*o + 5*o. Suppose 0 = 2*m - 3*m - 2. Sort m, n, 2 in ascending order. m, n, 2 Let x(m) = m**2 + m - 2. Let w be x(-2). Let i be (-1)/2 - 0 - w. Put -1/3, i, 0.1 in descending order. 0.1, -1/3, i Let d(h) = -h - 6. Let k be d(-5). Let y be (4/(-56))/((-11)/(-4)). Let w = y + 160/231. Put -5/2, k, w in decreasing order. w, k, -5/2 Suppose 2 = 3*c - 7. Put c, 2, 0 in decreasing order. c, 2, 0 Let w = 10 - 8. Let p = w - 14. Let m = p + 17. Sort m, 2/15, 2 in increasing order. 2/15, 2, m Let b = -0.06 + -0.54. Let w = 0.5 + b. Let g = -17/60 - -1/12. Put w, -2, g in decreasing order. w, g, -2 Let l = 4.52 + -4. Let v = l + -0.02. Let p = -10 + 10
{ "pile_set_name": "DM Mathematics" }
002202 - 22? 2210101101002110 In base 2, what is -1 - 11111010010011000100? -11111010010011000101 In base 14, what is 47b97d + -5? 47b978 In base 8, what is -3714 + -23404? -27320 In base 9, what is -3880 + 5? -3874 In base 13, what is -25 - -80b1b? 80ac6 In base 3, what is -12 - 2120210111002? -2120210111021 In base 6, what is 11211 - 104401? -53150 In base 8, what is 3175 - 11355? -6160 In base 2, what is 11000111 + -100111110011? -100100101100 In base 5, what is 141 + 1030421411? 1030422102 In base 14, what is -25b055 - b? -25b062 In base 13, what is 5 - 3b2c3b0? -3b2c3a8 In base 2, what is -1000011010000100011101 - -11? -1000011010000100011010 In base 14, what is 234 + 125b? 1491 In base 6, what is -14 + -100044011? -100044025 In base 7, what is -14225 - -6425? -4500 In base 3, what is -210 + -1102112120022022? -1102112120100002 In base 13, what is b9555 - 3c? b9516 In base 11, what is -211a33a - 2? -211a341 In base 9, what is 63568 + 1562? 65241 In base 16, what is 3 + -3f2892f? -3f2892c In base 5, what is -2142140 + 14101? -2123034 In base 8, what is 1172 + 12127? 13321 In base 3, what is 10122101 + -221200? 2200201 In base 5, what is 132330 + 332401? 1020231 In base 3, what is 1122122222001 - -10200? 1122200002201 In base 4, what is -2122113022 + -130? -2122113212 In base 3, what is -100022122101112 + 10? -100022122101102 In base 9, what is -84628802 - 0? -84628802 In base 10, what is -12 + 506057? 506045 In base 16, what is -766c61 - -3? -766c5e In base 16, what is -e0c - -3cda? 2ece In base 4, what is -22 - 110330322100? -110330322122 In base 3, what is 220001 + -2210001011011? -2210000021010 In base 9, what is -4753 + -15407? -21261 In base 13, what is 7a252 - -100? 7a352 In base 3, what is 2201121 + -100100012200? -100020111002 In base 4, what is -213130301120 + 32? -213130301022 In base 8, what is 2142574 - -1605? 2144401 In base 9, what is -5 + -8311868? -8311874 In base 13, what is 1856 - bc8? 95b In base 7, what is -10 + -155421000? -155421010 In base 8, what is 2 - 3167623? -3167621 In base 14, what is 1c5428b + b? 1c54298 In base 3, what is -121202011202 + -1? -121202011210 In base 13, what is 29 + 8645077? 86450a3 In base 9, what is -5 - -16735224? 16735218 In base 14, what is 11197b - -96? 111a33 In base 7, what is 4 + 22134643? 22134650 In base 16, what is 6 + -623d43? -623d3d In base 9, what is 16031 + -651? 15270 In base 11, what is 51a6 + -5318? -122 In base 8, what is 103 + -74477? -74374 In base 6, what is -2102 + -4021451? -4023553 In base 9, what is 111 - 35280? -35168 In base 15, what is -14 + 56144d? 561439 In base 14, what is 4 + 288b2879? 288b287d In base 3, what is 11201222100 - -22020? 11202021120 In base 5, what is -3401 - 104214332? -104223233 In base 15, what is -301 - 51cc? -54cd In base 2, what is 1010100011110101 + -10100000? 1010100001010101 In base 12, what is -113 - bb377? -bb48a In base 16, what is -15c4 - 9b0? -1f74 In base 14, what is -334ca35 + 0? -334ca35 In base 14, what is a79b + -d2? a6a9 In base 2, what is 1100000011 + -11110101000101? -11101001000010 In base 4, what is -131202 - -102313132? 102121330 In base 11, what is -4 - -1805740? 1805737 In base 14, what is -12b4 + 261c? 1348 In base 15, what is 1a - -10ee94? 10eeae In base 3, what is -102011110202012100 + 100? -102011110202012000 In base 9, what is -216653 + -2? -216655 In base 10, what is 17640 - 73? 17567 In base 13, what is -14247a - -993? -1417b7 In base 8, what is -174050 - -12465? -161363 In base 6, what is -543 + 122125? 121142 In base 15, what is 3166 - 5ab? 2aaa In base 10, what is -14768 - 52? -14820 In base 2, what is -1 - 100110001111100010111000? -100110001111100010111001 In base 14, what is 2 - -10d5bc58? 10d5bc5a In base 2, what is 1100110010101 - 1000000010110? 100101111111 In base 16, what is 52 + 152c8? 1531a In base 12, what is -11b7 + 21b2? bb7 In base 13, what is -1704223 - 2? -1704225 In base 15, what is 1a9e1 + -126e? 19772 In base 8, what is 7 + -1270320? -1270311 In base 15, what is -3e - eebbc9? -eebc18 In base 7, what is 1206 - 160433? -156224 In base 13, what is 1 - -47457? 47458 In base 10, what is -15057524 - -1? -15057523 In base 10, what is 560716 - -14? 560730 In base 10, what is 63 + 741426? 741489 In base 14, what is -5c2 + 4485? 3ca3 In base 15, what is 25105 - 3? 25102 In base 8, what is -15141354 - -3? -15141351 In base 15, what is c11e1 + -432? c0cae In base 14, what is 1c04dad - 2? 1c04dab In base 12, what is -89952 - b? -89961 In base 2, what is 101 - 101111101101110010110111? -101111101101110010110010 In base 6, what is 500201502 + 3? 500201505 In base 8, what is -10 - 450240? -450250 In base 10, what is 9519780 - -5? 9519785 In base 5, what is 4 - 412312344? -412312340 In base 4, what is -1002121 - 12303? -1021030 In base 8, what is -37 + 13317436? 13317377 In base 9, what is -162 + 1004408? 1004236 In base 8, what is 51465 + -20766? 30477 In base 5, what is 1233102100210 - -2? 1233102100212 In base 12, what is -5 + 4ab6007? 4ab6002 In base 4, what is 1300332 - -300200? 2201132 In base 8, what is 50227334 + -4? 50227330 In base 3, what is -2120200 - -10200121101? 10121000201 In base 6, what is 25155354102 - 0? 25155354102 In base 11, what is 279 - -78618? 78896 In base 2, what is -1000110 + -110110011001001101101? -110110011001010110011 In base 11, what is -53010a - 68? -530177 In base 2, what is -1111001111010 + -101011000111? -10100101000001 In base 8, what is -2 - -1647105? 1647103 In base 5, what is -200114323 + 1122? -200113201 In base 10, what is -1029 - -87291? 86262 In base 14, what is c3c255 + 1? c3c256 In base 13, what is -1638 + -644c? -7a87 In base 3, what is 1221122220022 + -20? 1221122220002 In base 8, what is -735 + -50430? -51365 In base 13, what is 76 - 77736b? -7772c5 In base 13, what is b1223 - -13? b1236 In base 6, what is 223205 + 1024? 224233 In base 6, what is 3532035 - 45? 3531550 In base 8, what is -7165 - -125615? 116430 In base 12, what is -6b0b86 + -144? -6b110a In base 3, what is -2101111 - 12212111? -22020222 In base 2, what is -1010110111010001 - 10101111? -1010111010000000 In base 11, what is 15714 - 5372? 10352 In base 2, what is -111100010110110111101010 - -100? -111100010110110111100110 In base 2, what is -110001100101010001 + -1000000? -110001100110010001 In base 7, what is -4126 - 12553? -20012 In base 11, what is -812 + -7497? -81a9 In base 8, what is -50435247 + -1? -50435250 In base 4, what is 11032031121120 + 0? 11032031121120 In base 15, what is 52135a - -78? 5213d3 In base 12, what is -11911 - -178? -11755 In base 14, what is -346a + a275? 6c09 In base 11, what is -34533 - -409? -34125 In base 2, what is 100001011101101 + -11011011100? 11110000010001 In base 8, what is 4 + -50654616? -50654612 In base 6, what is 1042 + 3241020? 3242102 In base 4, what is -1020 - 2223312? -2230332 In base 10, what is 5 + 1207657? 1207662 In base 6, what is -125515340 - -3? -125515333 In base 16, what is d0c42 + -35d? d08e5 In base 9, what is 1632134 + -85? 1632038 In base 7, what is 2620635 + 10502? 2631440 In base 5, what is -1032102 + 11243? -1020304 In base 13, what is 129 + -1a88? -195c In base 12, what is 190a + -1a24b? -18541 In base 16, what is -310f - -279? -2e96 In base 12, what is 117 + -27992a? -279813 In base 4, what is -1310313 - 12121? -1323100 In base 9, what is -5 - 327501465? -327501471 In base 2, what is 11 + -11001111001111000111010111? -11001111001111000111010100 In base 14, what is 2352873 - -3? 2352876 In base 14, what is 10693302 - -2? 10693304 In base 4, what is -110 - -22110230? 22110120 In base 6, what is 15323030 + 111? 15323141 In base 5, what is 10 - -2300101121? 2300101131 In base 2, what is -100 + -100011100000001101100000011? -100011100000001101100000111 In base 6, what is -420015322322 - 2? -420015322324 In base 10, what is 1293330 - 6? 1293324 In base 16, what is 9 - -234b14? 234b1d In base 9, what is 20865504 + 56? 20865561 In base 2, what is -111111010000 - -10100011101010? 1100100011010 In base 5, what is 443114303 + -122? 443114131 In base 14, what is -344628 + 34? -3445d4 In base 14, what is 5 - 6843847? -6843842 In base 4, what is -23 + 1201010201211? 1201010201122 In base 5, what is -2344 + 102143? 44244 In base 4, what is 3
{ "pile_set_name": "DM Mathematics" }
*3 + q*h**2 + k and give a. -37 Express (6 - 5 - 4)*(-18 + 11 - 20)*(d + 4*d - 2*d) in the form n + x*d and give x. 243 Express j - 5*j - 49*j**3 - 5*j + 9*j + (5*j**2 - j**2 - 2*j**2)*(3*j - 4*j + 0*j) in the form u*j**2 + c + a*j**3 + d*j and give c. 0 Express -n**3 - 85*n + 133*n**2 + 3 + 96*n - 1 + 2*n**4 - 137*n**2 in the form q*n**2 + i*n**4 + g + x*n**3 + t*n and give x. -1 Rearrange 110 - 217 + 108 - 205*w to b*w + o and give b. -205 Express (-2*p + 1 - 1)*(916 - 1842 + 920 + 5*p) in the form h*p**2 + q + j*p and give j. 12 Express 4*r**2 + 21 - 2*r**2 + 8*r - 22 + 0*r in the form o*r**2 + w + v*r and give w. -1 Rearrange p**2 + 15*p**2 + 0 + 1 + 5*p**2 + 3*p**4 - 3 to v*p + m*p**3 + d*p**4 + t + n*p**2 and give n. 21 Rearrange 3 - 2*k**2 + 3 + 18*k - 35*k + 2 + 18*k to c*k**2 + z + h*k and give c. -2 Express 10*y**2 - 2*y**2 + 8 + 6*y**2 - y**2 in the form g*y**2 + o + f*y and give o. 8 Express 4 + 24*f**4 + 13*f - 2 - 14*f - 1 in the form t*f**4 + d + i*f**3 + l*f**2 + h*f and give d. 1 Rearrange (-1 - 1 + 5)*(-2 - 4 + 1)*(4*d - 7 - 2*d + 187) to the form h*d + q and give q. -2700 Express -17*p + 14*p + 1 + 3 in the form w + j*p and give j. -3 Express (-969 - 1407 + 823)*(0 - 2*c + 0) as s + r*c and give r. 3106 Rearrange -6*j**2 + 12*j**2 - 4*j**2 - 3*j**2 + 0*j**2 + 88*j to the form x*j**2 + f*j + c and give x. -1 Rearrange -229*x**2 + 112*x**2 + 12*x + 114*x**2 - 1 + 3*x**3 - 2*x**4 to h*x**4 + d + v*x**2 + n*x + i*x**3 and give h. -2 Rearrange v**2 + v**2 - v**2 - 90 + 2*v - 3*v + 89 + 2*v**2 + (13 - 13 - 4*v)*(v + v - v) to a*v**2 + j*v + i and give j. -1 Rearrange -3 + 2*d + 3 + 2 + 2*d - 2 + (4 - 4 + d)*(1 + 1 + 2) - 954 + 23*d + 954 + (1 - 1 + 1)*(4*d - d - d) to o*d + g and give o. 33 Rearrange -25*f**2 - 28*f**2 + 66*f**2 - 20*f**2 + 15 - 16*f**2 to q*f**2 + y + s*f and give y. 15 Rearrange -8*s**2 - 2*s**3 - s + 4*s**3 - 2*s**2 - s**4 - 5*s**2 + 20 + 11*s**2 to the form y*s**3 + l*s**4 + u*s + a + b*s**2 and give a. 20 Rearrange 30 - 39*z**3 - 14*z**3 - 61 + 25 to the form w + d*z**3 + j*z + o*z**2 and give w. -6 Rearrange -20*q + 38*q - 98*q to l + r*q and give r. -80 Express 318 - 638 + 320 - 235*g as u*g + f and give u. -235 Express (-3 - 3 + 3)*(-3 - 3 + 0)*((1 - 4 + 1)*(1 + 2*u - 1) + 0*u + 3*u - u) in the form x*u + k and give x. -36 Rearrange (-9*b + b + b + (0 - 2 + 3)*(-b - 2*b + b))*(0*b + 0*b - 3*b)*(12*b - 9*b + 17*b) to the form u*b**2 + g + a*b**3 + k*b and give g. 0 Rearrange (438*z**2 + 369530 - 369530)*(0*z + 3*z - 2*z**2 - 4*z) to m*z**4 + v + a*z + w*z**3 + k*z**2 and give m. -876 Express -69*d + 92*d + 89*d in the form c*d + w and give c. 112 Express 5*k - 2*k + 3 + 3*k**2 - k - 5*k in the form q + w*k + d*k**2 and give d. 3 Express (2 + 5*q - 2)*(61 + 106 + 63) in the form s*q + g and give s. 1150 Express (5 + 3 + 3)*(1 - 4 - 4)*(0*p - 4*p + p - 5*p + 0*p + 4*p + (-1 + 4 - 2)*(-3 - p + 3)) in the form i + t*p and give t. 385 Express 15*s + 12 - 7*s + 12*s - 10*s + 15*s in the form g + x*s and give x. 25 Express 2*o**3 - 29*o**3 + 3*o**3 + (18*o**2 + 21*o**2 - 18*o**2)*(-3*o + o + 3*o) as p*o**3 + w + j*o**2 + r*o and give p. -3 Rearrange -765*t - 142*t - 308*t to s*t + x and give s. -1215 Express 5 - 1206*b - 1210*b + 2*b**3 - 2*b**2 - b**3 - 3*b**3 + 2403*b as n*b**3 + p*b + z + x*b**2 and give n. -2 Express -2 - 3*y**3 - 12*y + 4*y + 7 - y**2 + 0*y**2 + 7*y as s*y**2 + j*y + u*y**3 + t and give j. -1 Rearrange (-71*b - 176*b - 11*b - 18*b)*(-2*b + 4*b - 3*b) to n*b + w*b**2 + t and give n. 0 Rearrange 4*g**2 - 3*g - 2 + 29*g**3 - 5*g**3 - 1 - 23*g**3 to the form l*g**3 + u*g + w + i*g**2 and give i. 4 Rearrange 46 - 2*t**3 + 69*t**2 - 31 - 64*t**2 to x*t**3 + n*t + q + b*t**2 and give b. 5 Express -89*g + 33*g - 56*g - 6*g as k*g + u and give k. -118 Express (-2 + 6 - 3)*(7 - 3 - 2)*(143*a - 5743 + 5743) as v*a + g and give v. 286 Express 67*i**3 + 6*i + 5*i**3 - 25*i + 3*i + 12*i in the form x*i**3 + f*i + k*i**2 + b and give x. 72 Express 1 - 3*n**3 + 0 + 6*n**3 + 1 - 42*n**2 as x*n**3 + v*n**2 + a + k*n and give x. 3 Express (3 + 3 - 5)*(42*d - 42*d + 96*d**2) - 2*d + 2*d**2 + 2*d in the form u*d**2 + r + j*d and give u. 98 Express 102*i - 6 + 108*i - 333*i + 110*i as x + r*i and give x. -6 Express 16630*t**2 - 16630*t**2 - 2*t + 550*t**3 as f*t**3 + u*t + s + d*t**2 and give s. 0 Express 23 - 53 + 30 - 114*v - 106*v in the form o + j*v and give j. -220 Rearrange 3 - 5*i**4 - 3*i**4 - 5*i**2 + 3*i**3 - 4*i**4 + 14*i**4 to o*i**4 + j*i**3 + p + r*i**2 + h*i and give r. -5 Express 8 - 3*h**2 + 0 - h - 2 + 13 + 11 in the form f*h**2 + x*h + g and give g. 30 Express (7 + 15 + o + 4)*(2*o**2 + o**2 + 4 - 5 + o) as a*o**2 + q*o + d*o**3 + m and give d. 3 Express 3*p**2 - p + 571 + 2*p**4 - 4*p**2 + 2*p**3 - 565 in the form v + q*p**4 + j*p + o*p**3 + m*p**2 and give j. -1 Rearrange (-9937 + 35*j + 9937)*(9*j + 6 - 11*j - 7) to i + f*j + t*j**2 and give t. -70 Express 0*h + 21 - h + 41 - 18 in the form v*h + g and give g. 44 Rearrange 4*u**2 + 3 + 2*u + 200*u**4 - 5*u**2 - 202*u**4 + 2*u**3 to o*u + j*u**3 + x*u**4 + r + v*u**2 and give o. 2 Rearrange 0*j**3 - 2*j**2 - 9*j + 3*j**3 - 2*j**3 + 2*j**4 + 6*j - 2 to c*j**2 + k*j**4 + n*j + r + h*j**3 and give c. -2 Rearrange 2 - 13*b**2 + 211*b - 5 - 210*b - b**4 + 2*b**3 to the form i*b**2 + a*b + u + o*b**3 + k*b**4 and give k. -1 Rearrange -465*f**2 + 227*f**2 - 3 + 3 to t + q*f**2 + x*f and give q. -238 Rearrange -2 - 15*o**2 + 7*o**2 - o - 16*o**2 - 25*o**2 - 3*o**3 to the form r*o**3 + i*o + d*o**2 + u and give i. -1 Rearrange 84*j**3 + 22*j**3 - 9*j + 2*j - 2*j**2 + 5*j to the form f + i*j + o*j**3 + g*j**2 and give i. -2 Express 0*l**2 + 4*l**2 + 0*l**2 + (-3 + 3 - 2*l**2)*(4 - 2 - 4) + 77*l**2 - 431 + 431 as u*l**2 + a*l + k and give u. 85 Express (263*q + 10*q + 787*q + 93*q)*(-1 + 1 + 4*q**3) in the form l*q**4 + x + n*q**2 + c*q + t*q**3 and give l. 4612 Express -2 + 96*j**2 - 107*j**2 - 9*j**3 - j + 24*j**2 - j**4 + 0 as s*j**4 + v*j**3 + k*j + r + p*j**2 and give p. 13 Rearrange -3*z**4 + 5*z**4 - 3*z**4 + (136*z - 2566 + 118*z + 2561)*(0*z + 0*z - 2*z**3 - 2*z) to the form i*z**4 + d*z**3 + f + k*z**2 + b*z and give b. 10 Rearrange (-4 + 4 + 5*p)*(-5 - 9 + 1)*(20 + 1 - 11) to the form d*p + b and give d. -650 Express -21*o**3 - 24*o**3 - o**4 + 44*o**3 - o + 0*o - 18 as y*o**4 + x*o**3 + s + u*o + j*o**2 and give y. -1 Express 21*t + 145 + 148 - 9*t - 110 - 10*t as p + n*t and give p. 183 Express -86*b**2 - 4*b + 4*b - 545*b**2 - 224*b**2 as j + v*b**2 + d*b and give v. -855 Rearrange -5*b**4 + 2*b**4 + 4*b**4 + (-1 + 1 - 2)*(5*b + 4*b - 4*b)*(-21 + 21 + 22*b**3)*(1 + 1 - 3) to the form c*b**3 + m*b**2 + d + u*b**4 + r*b and give u. 221 Rearrange (2 - 2 + s**2)*(29*s**2 - s - 25*s**2 + 9*s) + 219*s**3 + s**4 - 219*s**3 to the form h + w*s**2 + t*s + b*s**4 + k*s**3 and give k. 8 Express -95*z**3 - 89*z**3 + 184*z**3 + 9 - 7 - 15*z - 2*z**4 in the form k*z**2 + u*z + l + q*z**3 + o*z**4 and give l. 2 Express (12*k + 2*k - 15*k)*(0 + 0 + 1)*(-8 - 6 + 4) as i + f*k and give f. 10 Express 760*v + 103 + 88 - 191 in the form t*v + l and give t. 760 Express -44*o + 21*o + 2 - o**2 + 2*o**3 + 24*o + 4 in the form k + b*o + j*o**3 + q*o**2 and give b. 1 Rearrange -17*o**3 + 8*o**3 + 3*o**4 - 2 + 9*o + 1 - 4*o + 8*o**3 to k*o + f*o**2 + j*o**3 + y + x*o**4 and give y. -1 Express 757*f**2 - 23*f + 23*f - 364*f**2 in the form z + q*f**2 + w*f and give q. 393 Express -123*h**2 + 185*h - 66*h - 59*h - 60*h as b + x*h**2 + m*h and give x. -123 Rearrange ((1 + 1 - 1)*(-2 + 0 + 1) + 496 - 224 + 461)*(-19*q - 3*q**2 + 19*q) to l*q + c + o*q**2 and give o. -2196 Rearrange -3 + 3 + 9*l**2 + (4*l**2 + l**2 + 0*l**2)*(0 + 2 + 1) to the form a*l + p + u*l**2 and give u. 24 Rearrange (-22*w**2 + 14*w**2 + 6*w**2)*(-102*w**2 - 105*w**2 + 205*w**2 - 25) to the form q + x*w**3 + v*w**4 + i*w + o*w**2 and give o. 50 Express (-6 + 248*r**3 + 6)*(1 - 1 + 1)*(-3*r - 2*r + r) in the form l*r + g*r**2 + p*r**3 + x + w*r**4 and give w. -992 Rearrange (-4 + 4 + m)*(316*m + 38*m - 680*m) + 5*m**2 - 6*m**2 + 0*m**2 to the form k + u*m**2 + x*m and give u. -327 Rearrange 25*r - 9*r - 128*r**2 + 12*r**2 + 1 + 1 - 17*r to n + v*r**2 + f*r and give v. -116 Rearrange 226*a**2 - 5
{ "pile_set_name": "DM Mathematics" }
*b = -g - 2*b + 133. List the prime factors of g. 5 Let s(h) = -119*h - 103*h + 76 - 107*h + 327*h. Suppose 2*o = o - 27. What are the prime factors of s(o)? 2, 5, 13 Suppose 3*k = 12*k - 531. What are the prime factors of 1*679 + (61 - k)? 3, 227 Let z = -101 + 113. Suppose 167 = d - 5*j, -13*j + z*j - 5 = 0. What are the prime factors of d? 2, 71 Suppose -3*a + 5 = -1. Let f be 3 + -5 + (-6 - -14) + -3. Suppose 97 = -a*s + f*s. List the prime factors of s. 97 Let a(q) = -q**3 - 2*q**2 - 16*q - 5. Let p be a(-5). Suppose 837 - p = 3*k. List the prime factors of k. 229 Suppose -5*p = -2889*w + 2885*w - 153208, 0 = -2*p - 3*w + 61297. What are the prime factors of p? 2, 47, 163 Suppose 9*q + 8 = -2*p + 5*q, 0 = p + q + 2. Suppose 682 = 11*g - p*g. Let v = 161 - g. List the prime factors of v. 3, 11 Let k be -1 + 7 + 4/(-1). Let j(t) = -14*t + 5 + 11*t**2 - k*t**3 + 0*t**3 - 4*t**3 + 7*t**3. List the prime factors of j(-12). 29 Let m(g) = -3*g + 155. Let q = 132 - 117. What are the prime factors of m(q)? 2, 5, 11 Let c = -8620 - -19486. What are the prime factors of c? 2, 3, 1811 Suppose 2*z - 5*m + 922 = 0, -4*z = -5*z + 4*m - 455. Let v = -205 - z. List the prime factors of v. 2, 7, 19 Suppose 126 = 8*o - 762. Suppose -1708 = o*b - 113*b. List the prime factors of b. 2, 7, 61 Let f = 592 + -590. What are the prime factors of 673 - (-10 + 2 + f)? 7, 97 Let t = 5 - 1. Suppose x = -9 + 13. Suppose 3*y = -t*c - 60 + 253, x*c - 122 = -2*y. List the prime factors of y. 71 Let x = -112 - -114. Let f(o) = 16*o + 7 - 3*o**2 + 8*o**2 - 15 + 7*o**x. What are the prime factors of f(-5)? 2, 53 Let p(j) = -1897*j + 357. List the prime factors of p(-7). 2, 7, 487 Suppose 19*q + 41*q = 159772 + 410048. What are the prime factors of q? 9497 Let w be ((-30)/25)/(6/(-30)). Let o be (-2)/3 + 22/w. Suppose 2*u + o*z = 356, -z - 2*z = -3*u + 564. List the prime factors of u. 2, 23 Suppose 4*h - 682 - 450 = -2*c, 0 = -5*c + 2*h + 2818. List the prime factors of c. 2, 3, 47 Let x(m) = m**3 + 66*m**2 - 932*m - 23. List the prime factors of x(16). 3, 673 Let h(g) = g**2 - 23*g + 2560. What are the prime factors of h(52)? 2, 3, 113 Let z(i) = 2*i**3 - 24*i**2 - 24*i + 60. Let d be z(14). What are the prime factors of 2 + d + (47 - 46)? 7, 73 Let i(z) = 24*z - 11. Let k be i(1). Suppose 116 = k*u - 339. What are the prime factors of u? 5, 7 Let v = -9195 + 10528. What are the prime factors of v? 31, 43 Let t(b) = -5*b**2 + 41*b - 5. Let z be t(8). Suppose -1551 = -3*o + 3*s, -4*s + 3*s = -z*o + 1549. What are the prime factors of o? 2, 3, 43 Let z(u) = -15*u - 4. Let k(b) = -b**2 - 2*b - 9. Let a be k(-3). Let w = a - -10. What are the prime factors of z(w)? 2, 13 Suppose 2*t = -h + 8 + 12, 2*h = 0. Suppose 4*v = -3*n + 403, -t*n + 7*n + 500 = 5*v. What are the prime factors of v? 97 Let d = 1755 + -1703. What are the prime factors of d? 2, 13 Let y be -3 - (-3 - (-13)/4)*-4. Let r be (-1 - -112)/1 - (y - -3). List the prime factors of 8/2 - (-2 - 3 - r). 7, 17 Let d = -99 - -87. Let l(p) = -30*p - 11. What are the prime factors of l(d)? 349 Let a(q) = q**2 + 23*q - 23. Let u be a(-12). Let s = u + 343. Let v = s + -95. List the prime factors of v. 3, 31 Let y be (179/2)/((-1339)/(-338) + -4). Let i = -1191 - y. List the prime factors of i. 2, 71 Suppose -2*c - 595 = 1055. Let m = c - -1301. What are the prime factors of m? 2, 7, 17 Let t = 21 - 3. Let l be -1 + 2 + 1 + t. Let h = l + 69. List the prime factors of h. 89 Let u(f) = -f**3 - 26*f**2 - 61*f - 23. Let r be u(-24). Suppose 5*w = 3*j + r, -27*w + 23*w = -3*j - 230. What are the prime factors of w? 59 Let r(y) = -y**2 - 2*y. Let v be r(-1). Let n be 2/(v/(9/6)) + -10. What are the prime factors of (15 + -1)*(-18)/n? 2, 3 Let c = 1908 + 12944. What are the prime factors of c? 2, 47, 79 Let h(b) = 3*b**2 - 15*b + 54. Let z be h(17). Let x(p) = -54*p**3 - p**2 - 2*p - 3. Let g be x(-2). Let y = z - g. List the prime factors of y. 3, 79 Let f(a) = 11683*a**2 - 56*a + 4. What are the prime factors of f(1)? 3, 3877 Let j(d) = -d**3 + 23*d**2 - 75*d - 25. Let c be j(19). Let a(f) = -248*f - 98. List the prime factors of a(c). 2, 5, 139 Suppose 0 = -6*q + 210 - 198. Suppose 12*y = -q*i + 16*y + 1358, 3*i - 2037 = 3*y. List the prime factors of i. 7, 97 Let r = -10 - -209. Suppose -r = -u + 172. List the prime factors of u. 7, 53 Let r(y) be the second derivative of -y**5/20 + 11*y**4/6 + 7*y**3/2 + 47*y**2/2 - 21*y. Let t be r(23). What are the prime factors of (112 - 1) + 8/(4/t)? 113 Suppose 4 = 2*a - k, 4*a - 8 - 4 = 4*k. Let f be (5/(-5) + (4 - a))*1. Suppose 44 = 6*d - f*d. List the prime factors of d. 11 Suppose -4*r + 3*c - 29 = -2*c, -3*c = -15. List the prime factors of ((-1)/(-4) + 8)/(r/(-12)). 3, 11 Suppose -16*m + 11*m + 20 = 0. Suppose 5*t - 3*g = 11, 9*t = 4*t + m*g + 8. List the prime factors of (42/t)/(2/4). 3, 7 Suppose -5*a + 2727 + 3113 = 0. Suppose 0*u - 4*u + a = 2*r, 1196 = 4*u - 5*r. List the prime factors of u. 2, 3, 7 Suppose -57*z + 33*z + 4570995 = 119*z. List the prime factors of z. 3, 5, 2131 Let z = 78 - 75. Let l(v) = -z*v + 118 - v + 11. List the prime factors of l(0). 3, 43 Let t(q) = 29*q**2 + 55*q - 157. Let x(o) = -43*o**2 - 84*o + 235. Let d(z) = 8*t(z) + 5*x(z). What are the prime factors of d(5)? 2, 3, 37 Suppose 0 = -5*p + 104 + 166. Suppose i - p = -2*i. List the prime factors of 4/(-6) + 2046/i. 113 Let k(i) = -2*i**2 + 44. Let c = 26 - 17. Suppose -5*t - 2*v + 10 = 0, -c - 6 = -3*v. List the prime factors of k(t). 2, 11 Suppose -4*u = 3*p - 97317, -4*u - 5*p = -100323 + 3000. What are the prime factors of u? 3, 17, 53 Let v(b) = -20*b + 24. Let f(o) = o**3 - 8*o**2 + 5*o - 36. Let j be f(8). Suppose -38 + 14 = j*l. What are the prime factors of v(l)? 2, 3 Let n be ((-4602)/91)/((-1)/(-7)). Let i = -268 - n. What are the prime factors of i? 2, 43 Suppose 3*i = 27 + 33. Let g be (-5*(-4)/i)/(0 + 1). Suppose 3*x + 543 = 4*o, 2*x + g + 1 = 0. What are the prime factors of o? 3, 5 Let b(w) be the second derivative of 14*w**4/3 + 4*w**3/3 + 11*w**2/2 + 4*w - 2. List the prime factors of b(-2). 3, 73 Let u(o) be the third derivative of o**5/30 - 7*o**4/24 - 2*o**3/3 + 20*o**2. List the prime factors of u(13). 3 Let r be 24/(-30)*11235/(-6). Let c = -1014 + r. List the prime factors of c. 2, 11 Let s = 7 + -4. Let w(y) = y**3 + 14*y**2 + 2. Let z be w(-14). Suppose -4*g - z = -0*m + s*m, -2 = m + 2*g. List the prime factors of m. 2 Suppose -f = r + 556, 2*r + 1669 = -3*f - 0*f. Let u be (-21 - -22)*(3 + -2 + f). What are the prime factors of (24/(-9))/(-1 + u/(-564))? 2, 47 Let q(y) = 8*y - 7 + 19 - 26. Let o be q(3). Let v = o + 32. List the prime factors of v. 2, 3, 7 Let a be (-469*3/(-6))/(4/8). Let h(w) = 3*w + 9. Let f be h(8). Suppose 2*p - a = -f. What are the prime factors of p? 2, 109 Let f(k) = 52*k - 38. Suppose 4*b + 16 - 18 = 2*w, 25 = 5*w - 4*b. List the prime factors of f(w). 2, 5, 43 Let m(t) = 9950*t - 270. What are the prime factors of m(1)? 2, 5, 11 Let f = 13284 - 8695. List the prime factors of f. 13, 353 Suppose -5*d - 12*d = 0. Suppose x - 1434 = -4*m - x, d = -3*m - 4*x + 1063. List the prime factors of m. 19 List the prime factors of 6850 - 5*16/(-40)*1. 2, 3, 571 Let b be 3/(-5) + 24/40. Suppose 0*c = -c - o - 8, -5*c - 4*o - 36 = b. List the prime factors of (-18)/(-3) + c + -3 + 116. 5, 23 List the prime factors of 44*(-3 - -1416 - (35 + -39)). 2, 11, 13, 109 Let o = 2454 - 3622. Let g = o - -1664. Suppose -6*p + 3*p - 2*i = -g, -i = 3*p - 497. What are the prime factors of p? 2, 83 Suppose -v = 5*d - 0*d - 2, 0 = -4*v - 3*d - 9. Let x(h) = 122*h**2 + 36*h + 2. What are the prime factors of x(v)? 2, 31 Let z(s) = 16*s + 610. Let b be z(0). Let n = b + 1234. What are the prime factors of n? 2, 461 Let r(m) = m**3 + 4*m**2 - 23*m - 11. Let g be r(-7). Suppose -1953 = -0*z - g*z + 3*a, 0 = -4*z - a + 2589. List the prime factors of z. 2, 3 Suppose -4*b - 4*j + 7510 = -19182, 3*b - 20043 = 3*j. What are the prime factors of b? 11, 607 Suppose -4 = -r, 0*r = m + 2*r - 19. Suppose 1748 - 527 = m*u. What are the prime factors of u? 3, 37 Let x = -46 - -70. Suppose 249 = 3*v - x. Let y = v - 34. List the prime factors of y. 3, 19 List the prime factors of (18
{ "pile_set_name": "DM Mathematics" }
-8*p**3 + 3*p**2 + 5*p + 4. Let a(k) = -k**3 - k**2. Let n(v) = -6*a(v) + g(v). Let o be n(5). Solve -20 = -i - o*i for i. 4 Suppose 216*r - 219*r + 12 = 0. Solve 2*l + 2 = r for l. 1 Let y(x) = -55*x**3 + 2*x**2 - 2*x - 3. Let m be y(-1). Let f = -46 + m. Let d = -7 - -10. Solve -d*s = -8*s + f for s. 2 Let l(p) = -p**3 - 6*p**2 - 2*p - 11. Let x be l(-6). Let d be (-6)/(-6) - (-18)/(2 + x). Solve c = -d + 5 for c. -2 Let w = -65 - -67. Solve 3 = n + w*n for n. 1 Suppose 0 = u - 2*m - 277 + 276, 34 = 4*u - 2*m. Solve u*o = 6*o for o. 0 Suppose 7*u = 2*z + 8*u - 2, 3*z + 4*u = 8. Solve z*i - 25 = -5*i for i. 5 Let z = 276 + -274. Suppose 16 = -2*n - 4*p, -4*n - p = -6*p - 20. Suppose -c = u + 1, n = -z*c + 5*c + 12. Solve 0 = -4*m + u*m for m. 0 Let p be 61/5 - 1/5. Let i = -12 + p. Suppose i = -0*z + 2*z - 4. Solve -z = 4*d + 18 for d. -5 Suppose -5*a + 8 + 7 = 0, 27 = -5*c - a. Let w be c*8/(-6)*2. Let d be (-120)/(-21) - (1 + 36/(-28)). Solve -2*y + w = d for y. 5 Let r = 1695 - 1695. Solve r = 8*n - 9*n - 4 for n. -4 Let n(x) = x**2 - 7*x - 5. Let d(y) = y**2 - 8*y - 4. Let p(t) = -4*d(t) + 5*n(t). Let q be p(6). Suppose b - q = 3*f, -f - 1 = -2*f. Solve -w - b = 2*w for w. -4 Suppose 5*k - 19 = -i, -3*k + 4*i = 8*i - 25. Let d = 806 - 796. Solve k*w + 2*w - d = 0 for w. 2 Let j(a) = 3*a + 26. Let o(d) = -1. Let z(p) = -j(p) - 3*o(p). Let w be z(-8). Solve 6 - w = n for n. 5 Let y be (-4 - 3)/1*(-150)/70. Solve 2*m - 5*m - y = 0 for m. -5 Let u be 1 - (-186)/(-8) - 5/(-20). Let s = -19 - u. Solve s*b - 2*b = -5 for b. -5 Let u(j) = -j**3 + 5*j**2 + 16*j - 12. Let y be u(7). Let n(f) = 0*f**3 + 2*f**3 - f**3 + 2*f - f**2 - 3*f**2 - 6. Let c be n(4). Solve 2 = -c*k - y for k. -2 Let q be (-9)/12 + (-23)/(-4). Suppose 5*j = -4*p + 82, 0*p + q*j - 46 = -2*p. Let c = 21 - p. Solve -4*w = -c*w for w. 0 Suppose -i = -4*y - 4, -5*i + 4*y + 1 = 3*y. Suppose -8*g + 5*g + 9 = i. Solve -g*x + 12 = x for x. 3 Let p be ((-138)/115)/(2/(-10)). Solve 0 = -2*f - p*f - 32 for f. -4 Let v(i) = -2*i**3 + 0*i + 9*i + 16 + 3*i**3 + 8*i**2 - 1. Let z be v(-7). Let j(l) = 28*l**3 + l - 1. Let y be j(z). Solve 4*c - 8 = -y for c. -5 Suppose 2 = 3*z - h + 3*h, 5*h = -4*z - 9. Solve -z*k + 15*k = -22 for k. -2 Let p = -709 + 712. Suppose 0*h = -3*h + 3. Solve h = -t + p for t. 2 Let i(x) = x**3 - 31*x**2 + 30*x + 8. Let s be i(30). Suppose 0 = o + 3*n - 9, 2*o - 6 = 5*n - 21. Solve -5*t - 23 + s = o for t. -3 Let q(u) = u + 2. Let o(g) = 6*g - 15. Let x be o(5). Let w = 17 - x. Let h be q(w). Solve h*n = n - 15 for n. -5 Suppose 2*a + 10 = 0, -2*a = -p - 3*p + 38. Solve p*t = 6*t - 4 for t. -4 Let j(g) = -g + 10. Let h = 21 - 9. Let s(m) = -m + 17. Let x be s(h). Let c be j(x). Solve 0 = c*u - 15 - 0 for u. 3 Let f = -25 - -30. Suppose -f*o + 3 = -4*o. Solve 0*z + z = -o for z. -3 Let p = 3 - -5. Suppose -5*r + 3*u = -9, -u + 0*u = -2. Solve -r*a = -a - p for a. 4 Let y = -1156 + 1174. Solve 2*o + 4*o = -y for o. -3 Suppose 3*o + 6*u = 3*u, 0 = 4*o + 3*u - 2. Let j be (o/24*2)/((-13)/(-78)). Solve -5 + j = -2*c for c. 2 Let o = 52 + -50. Let d = 2 + o. Solve 2*u + 4 = d*u for u. 2 Suppose 2*q + 3*t = -q - 6, 0 = 3*q - 4*t - 8. Solve 5*b - 2*b - 6 = q for b. 2 Suppose 3*j + 0*i - i = 35, -2*j = i - 25. Let m(c) = 4*c - 24. Let v be m(j). Solve 9 - v = -5*t for t. 3 Let k be ((-40)/(-52))/5 - (-1068)/156. Solve 0 = 3*a - k - 5 for a. 4 Let x(h) = 94*h - 704. Let w be x(8). Solve w = 4*a + 52 for a. -1 Let k(d) = 11*d - 205. Let z be k(19). Solve 0 - 12 = z*u for u. -3 Let z(j) = -j + 24. Let m be z(16). Let s be (6/m)/((-38)/(-16) + -2). Solve 3*y = s*y for y. 0 Let d be (15 + (-1518)/88)/((-1)/8). Solve 12*w - 18 = d*w for w. -3 Suppose 155 = 130*v + 25. Solve 83 = 21*w - v for w. 4 Suppose -623*j = -628*j + 400. Solve 0 = -14*c + j - 10 for c. 5 Suppose -l = -2*c + 2, 3*l + 1 = 4*c - 3*c. Suppose 5*v + 5*i - 27 - 3 = l, -3*v = 2*i - 21. Solve 0*z = -3*z - v for z. -3 Let d = -162 + 120. Let b be -24*(3 - d/(-12)). Solve 0 = -2*x - x + b for x. 4 Let p be 26/8 - ((-296)/(-32) - 9). Solve -p*h = -2*h + 5 for h. -5 Let n(f) = f**2 + f + 1. Let t(r) = 5*r**2 + 7*r + 1. Let g(a) = 4*n(a) - t(a). Let h be g(-7). Let k be 4/5 + 20/h. Solve 2*y - 3 - 1 = k for y. 2 Let p(a) = -a**3 + 15*a**2 + 12*a + 76. Let y be p(16). Solve -55 = v - y*v for v. 5 Let z(w) = -w**2 + 24*w + 5. Let l be z(24). Suppose 4*d + l*r = 27, -7*r + 3*r + 15 = d. Solve -k + d*k = 2 for k. 1 Let l = -938 - -944. Solve -l - 2 = 4*f for f. -2 Suppose 48 = 96*q - 90*q. Solve 0 = 3*t - q + 11 for t. -1 Let w be (9/2)/((-13)/78). Let v = -25 - w. Solve v*n - 16 = 6*n for n. -4 Let w be 1/(1/2)*2. Suppose 5*g + 9 = s + 2*g, 2*g = -2. Solve -s = w*l - 2 for l. -1 Let d(b) = -b**2 - 18*b - 11. Let l be d(-17). Suppose 0 = 21*u - 22*u - l. Let p(q) = -q**3 - 7*q**2 - 8*q - 2. Let x be p(u). Solve -2*v + x = 4 for v. 3 Let w = -587 + 595. Solve w = -d + 12 for d. 4 Suppose -n - 6 = h + 3*h, 3*n = -2*h + 2. Let d(t) = -4*t - n - t**2 + 1 - 2*t. Let u be d(-5). Solve -13 = 3*v - u for v. -3 Let r(h) = -h**2 - 3*h - 2. Let t be r(-2). Suppose -2*c + 16 = -t. Suppose -6*o = -7*o + c. Solve 0 = -0*i - 2*i + o for i. 4 Suppose -11*l + 17 = -126. Suppose -8*o - 15 = -l*o. Solve -o = -j - 0 for j. 3 Let a(w) = w**3 + 38*w**2 - 5*w - 9. Let l be a(-38). Solve 169 = -4*b + l for b. 3 Let n = 18 + -14. Suppose n*f + 0 - 12 = 0. Suppose -5*q + 25 + 15 = 0. Solve i - q = -f for i. 5 Let o(x) = -4*x + 108. Let a be o(27). Solve a = -j + 4*j + 12 for j. -4 Suppose 2*o = -4*o + 36. Suppose -1 + o = 3*w - 2*q, -4*q = 4. Solve 2*l - w - 1 = 0 for l. 1 Let u = 18 - 16. Let z be u*4 + -16 + 13. Solve 16 = -v + z*v for v. 4 Suppose b = 4*z - 2 - 7, 2*z + b = 3. Let s be -3*4/(-6) + 0. Suppose 20 = y - 3*v, 0 = -3*v + 4 - 16. Solve s*j - z = y for j. 5 Suppose 20 = -4*d - 8. Let b(z) = 10 + 15*z**2 + 8*z - 23*z**2 + 16*z**2 + z**3. Let p be b(d). Solve w + p*w = -8 for w. -2 Let g(c) = -2 - c**3 + 8 - 7*c**2 - 5*c + 3. Let z be g(-6). Suppose -z*w - 2*j = 1, 3*w + 3 + 2 = -4*j. Solve 1 + w = d for d. 2 Let k be (-5)/(-2)*((-12)/(-30) + 2). Let r(n) = 7*n + 4. Let g be r(3). Solve w - g = k*w for w. -5 Let u(z) = z**2 + 4*z + 1. Let o(s) = s**2 - 4*s - 8. Let m be o(6). Suppose -4*h - 27 = m*b + 5, -2*h + b - 4 = 0. Let x be u(h). Solve 14 = 3*d - x for d. 5 Suppose -3*j - 70 = 26. Let h = j - -35. Solve h + 3 = -2*z for z. -3 Suppose -2*d + 4*t + t = -1, 4*t = -12. Let x(k) = k**2 + 8*k + 11. Let g be x(d). Solve g*h + 3 = h for h. -1 Let a = 1054 + -1054. Solve -4 = 2*p - a*p for p. -2 Suppose -x = -4*r + 313 + 37, -5*r - 5*x = -425. Suppose -8 = 2*d, -4*d = -5*k - 26 + r. Solve -3 = -4*q + k for q. 3 Suppose -q = -12*q - 44. Let m be (-2 - (4 - 1)) + 0. Let l be 9 + m + q/1. Solve z - 2*z = l for z. 0 Suppose 18*y = 733 - 571. Solve 1 + y = -2*s for s. -5 Let k(b) = -b**2 + 15*b - 34. Let m be k(3). Solve m*i + 2*i - 5*i = 0 for i. 0 Let l be (-12)/8 + 3/2. Suppose 12*w - 5 = 55. Solve l = w*h - h - 20 for h. 5 Suppose o + 4*k = -0*o + 76, -2*k = 3*o - 188. Suppose 3*s - 24 = -3*h + 12, 5*h + 2*s = o. Suppose -3*j + h = -3. Solve j*f - f + 4 = 0 for f. -1 Let x(s) = 36*s + 74. Let p be x(-2). Solve p*q - 1 = -3 for q. -1 Let t(a) = 2*a - 12. Let f be t(9). Let p = 8 - f. Solve 0 = p*s + s - 15 for s. 5 Suppose 73*o + 29*o - 10404 = 0. Solve -107*u = -o*u for u. 0 Let p = -7 - -3. Let t(l) = -5*l - 9. Let g(c) = -6*c - 8. Let b(w) = 3*g(w) - 4*t(w). Let q be b(p). Solve q*k + 20 = -k for k. -4 Suppose -5*t = -3*w + w - 11, -4*t - 2*w = 2. Let l(j) = -3 + 7*j + 0 + 2. Let p be l(t). Solve -3*u - p + 0 = 0 for u. -2 Let s(o) = o**3 - 8*o**2 + 10*o - 6. Let i be s(6). Let b be 8/36 - (-4)/i. Solve -5*z + b = -10 for z. 2 Let b = 89 + -93. Let u(r) = -3*r - 9. Let v be u(b). Solve 5*y = 2*y - v for y. -1 Suppose i + 3*i = 4*p + 100, 2*p = i - 23. Let g = -27 + i. Solve -r + 0*r + 4 = g for r. 4 Let w = 127 + -123. Suppose -4*y + 14 = -4*n - 6, -w*y + 13 = 3*n. Solve -5 = s - y for s. -1 Let f(p) = 9*p - 3 - p**3 - 9*p**2 + 1 + 3 - 8. Let u be f(-10). Solve 0 = -u*x + 5 + 1 for x. 2 Let a(w) = w**3 + 14*w**2 + 11*w - 22. Let g be a(-13). Suppose 4*f + g*d - 27 - 1 = 0, 8 = 2*d. Solve 2*n - 7 = -f for n. 2 Let q = -3 - -7. Suppose -
{ "pile_set_name": "DM Mathematics" }
- 492*f - 12 = 0 for f. -2/41 What is t in 64*t**2/3 + 544*t + 3468 = 0? -51/4 Suppose -98*o**5 - 3668*o**4 - 1310*o**3 + 8908*o**2 - 4424*o + 592 = 0. What is o? -37, -2, 2/7, 1 Find u such that -27*u**3 + 39*u**2 + 42*u - 24 = 0. -1, 4/9, 2 Factor 3*u**4/2 - 12*u**3 + 27*u**2 - 24*u + 15/2. 3*(u - 5)*(u - 1)**3/2 Factor 18*m**5 + 48*m**4 + 85*m**3/2 + 25*m**2/2. m**2*(m + 1)*(6*m + 5)**2/2 Let -a**4/11 + 2*a**3 - 168*a**2/11 + 512*a/11 - 512/11 = 0. Calculate a. 2, 4, 8 Let n**3/4 + 32*n**2 - 129*n/4 = 0. What is n? -129, 0, 1 Determine g, given that g**2/6 - 85*g/3 + 7225/6 = 0. 85 Solve -40*v**5/9 - 46*v**4/9 + 26*v**3/3 + 16*v**2/9 - 8*v/9 = 0 for v. -2, -2/5, 0, 1/4, 1 Determine u so that 3*u**5/2 + 59*u**4/10 - 3*u**3/5 - 4*u**2/5 = 0. -4, -1/3, 0, 2/5 Let -27*j**3 - 858*j**2 + 5187*j - 1110 = 0. What is j? -37, 2/9, 5 Factor y**2 + 41*y + 40. (y + 1)*(y + 40) Factor -v**3/2 - 7*v**2/2 - 7*v/2 + 15/2. -(v - 1)*(v + 3)*(v + 5)/2 Determine p, given that -2*p**2/5 - 1772*p - 1962490 = 0. -2215 Factor 2*u**3 + 6*u**2 + 4*u. 2*u*(u + 1)*(u + 2) Suppose -4*n**2 - 60*n = 0. What is n? -15, 0 Let -2*g**3/13 - 14*g**2 - 4048*g/13 + 4232/13 = 0. Calculate g. -46, 1 Determine b so that -3*b**5 + 69*b**4 + 147*b**3 + 75*b**2 = 0. -1, 0, 25 Factor -n**3/2 - 67*n**2/2 - 382*n + 416. -(n - 1)*(n + 16)*(n + 52)/2 Solve 5*a**4/9 - 8*a**3/3 - 2*a**2/3 + 80*a/9 + 19/3 = 0 for a. -1, 3, 19/5 Factor -2*z**5 + 2*z**4 + 10*z**3 + 6*z**2. -2*z**2*(z - 3)*(z + 1)**2 Let -25*v**5 - 685*v**4 - 5420*v**3 - 9860*v**2 - 3120*v = 0. Calculate v. -13, -12, -2, -2/5, 0 Factor 4*v**5 - 28*v**4 - 36*v**3 + 252*v**2. 4*v**2*(v - 7)*(v - 3)*(v + 3) Factor 22*v**2 + 94*v + 24. 2*(v + 4)*(11*v + 3) Factor b**3/2 + 3*b**2 + 9*b/2. b*(b + 3)**2/2 Factor -h**4/5 + h**3/5 + 6*h**2/5 - 4*h/5 - 8/5. -(h - 2)**2*(h + 1)*(h + 2)/5 Determine a so that 2*a**4 - 24*a**3 + 22*a**2 = 0. 0, 1, 11 Find x, given that 3*x**2/7 - 27/7 = 0. -3, 3 Determine p so that -p**2/5 + 31*p/5 - 6 = 0. 1, 30 Factor 3*o**3/4 + 2673*o**2/4 + 793881*o/4 + 78594219/4. 3*(o + 297)**3/4 Determine w, given that 9*w**3 + 18066*w**2 + 9060096*w - 6048096 = 0. -1004, 2/3 Factor -12*y**3 - 176*y**2 - 112*y. -4*y*(y + 14)*(3*y + 2) Solve -2*r**5 + 11*r**4 - 12*r**3 - 9*r**2 = 0. -1/2, 0, 3 Factor -5*w**2 - 2225*w + 4470. -5*(w - 2)*(w + 447) Solve o**2/2 - 59*o/2 + 29 = 0 for o. 1, 58 Let -2*p**4/11 - 46*p**3/11 - 360*p**2/11 - 1184*p/11 - 128 = 0. Calculate p. -11, -4 Factor 4*u**3 - 2424*u**2 + 369648*u - 729632. 4*(u - 302)**2*(u - 2) Suppose -4*u**4 - 24*u**3 + 4*u**2 + 24*u = 0. Calculate u. -6, -1, 0, 1 Let -z**4/6 + 3*z**2 - 16*z/3 + 5/2 = 0. What is z? -5, 1, 3 Let -b**5/3 - 67*b**4 + 205*b**3/3 + 601*b**2/3 - 336*b + 404/3 = 0. What is b? -202, -2, 1 Factor -r**3/2 - 7*r**2/2 - 5*r. -r*(r + 2)*(r + 5)/2 Let -o**5/2 - 41*o**4 + 89*o**3/2 + 247*o**2 - 170*o - 332 = 0. What is o? -83, -2, -1, 2 Factor -2*c**3 - 4*c**2 + 142*c + 144. -2*(c - 8)*(c + 1)*(c + 9) Factor 3*r**3/7 - 846*r**2/7 - 2559*r/7 - 1710/7. 3*(r - 285)*(r + 1)*(r + 2)/7 Solve -5*m**3/3 + 65*m**2/3 = 0. 0, 13 Determine n so that 2*n**5/11 - 12*n**3/11 - 16*n**2/11 - 6*n/11 = 0. -1, 0, 3 Find g such that g**5 + 26*g**4 + 24*g**3 - 26*g**2 - 25*g = 0. -25, -1, 0, 1 Let -q**3 - 28*q**2 = 0. Calculate q. -28, 0 Factor -4*a**3 - 2024*a**2 - 4020*a + 6048. -4*(a - 1)*(a + 3)*(a + 504) Solve 3*h**5/7 - 9*h**4/7 - 9*h**3 + 141*h**2/7 + 360*h/7 - 432/7 = 0. -3, 1, 4 Determine j so that j**4 + j**3 - j**2 - j = 0. -1, 0, 1 Factor -4*t**2/5 - 9752*t/5 - 5943844/5. -4*(t + 1219)**2/5 Find y, given that -y**4/4 + 9*y**3/4 - 7*y**2/2 = 0. 0, 2, 7 Suppose 5*g**5 + 200*g**4 + 2370*g**3 + 11800*g**2 + 24625*g + 15000 = 0. Calculate g. -24, -5, -1 Suppose 10*b**3 - 144*b**2 - 264*b + 128 = 0. Calculate b. -2, 2/5, 16 Factor -y**3/2 - 45*y**2 - 1257*y/2 - 584. -(y + 1)*(y + 16)*(y + 73)/2 Determine u so that -u**5/12 + 7*u**4/4 - 97*u**3/12 - 47*u**2/4 + 49*u/6 + 10 = 0. -1, 1, 10, 12 Let 2*q**3 - 72*q**2 - 78*q + 148 = 0. Calculate q. -2, 1, 37 Factor -2*l**4/11 + 54*l**3/11 - 390*l**2/11 + 338*l/11. -2*l*(l - 13)**2*(l - 1)/11 Solve -4*y**3 + 836*y**2 - 3296*y + 3280 = 0. 2, 205 Factor 7*u**2 - 24*u. u*(7*u - 24) Suppose 5*k**2 - 910*k = 0. Calculate k. 0, 182 What is o in 3*o**5/4 + 9*o**4/2 - 9*o**3/4 - 15*o**2 - 9*o = 0? -6, -1, 0, 2 Factor 3*g**2 - 852*g + 60492. 3*(g - 142)**2 Determine w so that w**2/2 + 7*w + 20 = 0. -10, -4 Factor -9*o**2 - 1095*o + 366. -3*(o + 122)*(3*o - 1) Factor t**2/7 + 152*t/7 + 5776/7. (t + 76)**2/7 Find g such that -570*g**4 - 605*g**3 - 25*g**2 + 10*g = 0. -1, -1/6, 0, 2/19 Find c such that -3*c**4 - 96*c**3 + 201*c**2 - 102*c = 0. -34, 0, 1 Find g, given that 12*g**4 - 15*g**3 - 393*g**2 - 657*g + 189 = 0. -3, 1/4, 7 Let 5*g**2 - 55*g = 0. Calculate g. 0, 11 Solve -4*z**4 - 932*z**3 + 952*z**2 + 3728*z - 3744 = 0. -234, -2, 1, 2 What is t in 15*t**5 + 110*t**4 - 955*t**3 - 1410*t**2 - 360*t = 0? -12, -1, -1/3, 0, 6 Factor g**2 + 376*g - 756. (g - 2)*(g + 378) Factor 3*y**3 + 15*y**2 - 27*y - 135. 3*(y - 3)*(y + 3)*(y + 5) Solve -2*n**2/3 - 10*n/9 - 4/9 = 0. -1, -2/3 Factor -4*c**5 + 56*c**4 - 244*c**3 + 336*c**2 - 144*c. -4*c*(c - 6)**2*(c - 1)**2 Let -972*v**4 + 40176*v**3 + 27072*v**2 + 18112*v/3 + 448 = 0. What is v? -2/9, 42 Factor g**3/3 - 283*g**2/3 + 6721*g - 6627. (g - 141)**2*(g - 1)/3 Factor 3*w**3 + 1515*w**2 + 192024*w + 190512. 3*(w + 1)*(w + 252)**2 Factor c**4/8 - 3*c**3/4 - 15*c**2/2 - 17*c - 12. (c - 12)*(c + 2)**3/8 Let 5*s**5 + 35*s**4 + 20*s**3 - 60*s**2 = 0. Calculate s. -6, -2, 0, 1 Factor 2*i**4/3 + 4912*i**3/3 + 1003684*i**2 - 6036848*i/3 + 3020882/3. 2*(i - 1)**2*(i + 1229)**2/3 Suppose -10*l**4/13 - 166*l**3/13 - 532*l**2/13 + 240*l/13 = 0. What is l? -12, -5, 0, 2/5 Find z such that -52*z**4 + 106*z**3 - 56*z**2 + 2*z = 0. 0, 1/26, 1 Find w such that 4*w**2/3 + 3848*w/3 + 925444/3 = 0. -481 Factor 2*m**2 + 238*m/5 - 48/5. 2*(m + 24)*(5*m - 1)/5 Factor w**4/5 + 17*w**3/5 + 56*w**2/5 + 52*w/5. w*(w + 2)**2*(w + 13)/5 Factor 3*q**2/2 + 108*q + 1944. 3*(q + 36)**2/2 Factor -2*v**2/3 + 152*v/3 - 710/3. -2*(v - 71)*(v - 5)/3 What is w in -2*w**5 + 36*w**4 = 0? 0, 18 Find w such that 30*w**5/7 - 123*w**4/7 + 81*w**3/7 + 69*w**2/7 - 39*w/7 - 18/7 = 0. -1/2, -2/5, 1, 3 Suppose 2*a**2/11 + 84*a/11 = 0. Calculate a. -42, 0 Let 2*a**2 + 46*a + 44 = 0. What is a? -22, -1 Determine u, given that -u**4 + 500*u**3 - 63492*u**2 + 248000*u - 246016 = 0. 2, 248 Let 5*o**4 - 950*o**3 + 45125*o**2 = 0. Calculate o. 0, 95 Factor -3*p**3 + 72*p**2. -3*p**2*(p - 24) Factor v**2/7 - 22*v/7 + 40/7. (v - 20)*(v - 2)/7 Factor 2*v**2 + 40*v + 192. 2*(v + 8)*(v + 12) Let 2*q**5/3 + 16*q**4/3 - 24*q**3 - 512*q**2/3 + 896*q/3 + 1024 = 0. Calculate q. -8, -6, -2, 4 Suppose -9*w**3/5 + 309*w**2/5 - 408*w - 300 = 0. What is w? -2/3, 10, 25 What is s in 2*s**3 - 416*s**2 + 23200*s - 160000 = 0? 8, 100 Factor -3*h**3/5 - 783*h**2/5 - 68121*h/5 - 1975509/5. -3*(h + 87)**3/5 Determine a, given that -5*a**4 + 5*a**3 + 150*a**2 - 160*a - 800 = 0. -5, -2, 4 Determine w so that 4*w**3 - 392*w**2 + 9200*w + 20000 = 0. -2, 50 Solve g**5/8 + g**4/4 - 17*g**3/4 - g**2 + 345*g/8 - 225/4 = 0 for g. -5, 2, 3 Solve -f**5/3 - 2*f**4/3 + 2*f**3 + 20*f**2/3 + 19*f/3 + 2 = 0. -2, -1, 3 Suppose 13*s**2 - 350*s/9 - 1/3 = 0. Calculate s. -1/117, 3 Factor 3*g**3/7 + 435*g**2/7 - 3*g/7 - 435/7. 3*(g - 1)*(g + 1)*(g + 145)/7 Determine q so that q**2 + 37*q - 308 = 0. -44, 7 Factor 5*y**5 - 15*y**4 - 15*y**3 + 55*y**2 - 30*y. 5*y*(y - 3)*(y - 1)**2*(y + 2) Factor 2*q**3/15 - 36*q**2/5 - 306*q - 2520. 2*(q - 84)*(q + 15)**2/15 Suppose -2*v**4/15 - 8*v**3/15 - 2*v**2/5 + 8*v/15 + 8/15 = 0. What is v? -2, -1, 1 Factor 2*f**3 + 1366*f**2 + 233926*f + 232562. 2*(f + 1)*(f + 341)**2 Factor 18*l**4 - 42*l**3 - 34*l**2 - 6*l. 2*l*(l - 3)*(3*l + 1)**2 Find o, given that -5*o**4 - 55*o**3 - 50*o**2 = 0. -10, -1, 0 Suppose -195*h**4 + 1375*h**3 + 1880*h**2 - 3220*h + 160 = 0. Calculate h. -2, 2/39, 1, 8 Factor -8*d**2/3 + 422*d/3 + 106/3. -2*(d - 53)*(4*d + 1)/3 What is w in -4*w**3/7 + 20*w**2/7 + 4*w/7 - 20/7 = 0? -1, 1, 5 Determine q so that 3*q**3/8 - 39*q**2/4 + 507*q/8 = 0. 0, 13 Factor 2*k**2/3 + 10*k + 100/3. 2*(k + 5)*(k + 10)/3 Find i such that 4*i**2 - 1
{ "pile_set_name": "DM Mathematics" }
6073, 20507 What are the prime factors of 61926861? 3, 29, 523, 1361 What are the prime factors of 2092642923? 3, 7, 823, 121081 List the prime factors of 2789363008. 2, 43583797 What are the prime factors of 1100563077? 3, 127, 2888617 List the prime factors of 98129399. 449, 218551 What are the prime factors of 144550332? 2, 3, 659, 677 What are the prime factors of 37378686? 2, 3, 101, 61681 List the prime factors of 2227545870. 2, 3, 5, 11, 17, 36097 What are the prime factors of 99476689? 13, 7652053 List the prime factors of 1651169474. 2, 37, 89, 250709 List the prime factors of 2402240528. 2, 19, 467, 16921 What are the prime factors of 2098064815? 5, 7, 11, 43, 126733 What are the prime factors of 51919325? 5, 37, 41 List the prime factors of 18498724. 2, 4624681 List the prime factors of 2488038241. 13, 809, 236573 List the prime factors of 757058202. 2, 3, 23, 181, 10103 What are the prime factors of 3350311538? 2, 7, 239307967 What are the prime factors of 51626535? 3, 5, 17, 193, 1049 List the prime factors of 1423738528. 2, 29, 113, 13577 What are the prime factors of 103668235? 5, 11, 1884877 What are the prime factors of 299844989? 31, 9672419 What are the prime factors of 15513937? 19, 23, 131, 271 What are the prime factors of 2743564195? 5, 548712839 List the prime factors of 2531731. 19, 227, 587 What are the prime factors of 88491647? 17, 47, 110753 List the prime factors of 119202047. 41, 2907367 What are the prime factors of 57006719? 7, 11, 23, 32189 What are the prime factors of 68784020? 2, 5, 3439201 List the prime factors of 2161357400. 2, 5, 211, 51217 What are the prime factors of 16747449? 3, 5582483 What are the prime factors of 1299731834? 2, 3413, 190409 List the prime factors of 2623142327. 13, 201780179 What are the prime factors of 63486696? 2, 3, 7, 13, 41, 709 List the prime factors of 2554103264. 2, 23, 3470249 What are the prime factors of 25100926? 2, 12550463 What are the prime factors of 1693717987? 13, 1483, 87853 List the prime factors of 1804935827. 2503, 721109 What are the prime factors of 27926435? 5, 5585287 List the prime factors of 96228847. 11, 13, 89, 7561 List the prime factors of 644088591. 3, 7951711 List the prime factors of 56244457. 131, 429347 What are the prime factors of 5102790? 2, 3, 5, 7, 11, 47 List the prime factors of 818142973. 818142973 What are the prime factors of 1863826420? 2, 5, 83, 229, 4903 List the prime factors of 20626687. 31, 67, 9931 List the prime factors of 1466940126. 2, 3, 739, 330839 What are the prime factors of 34895358? 2, 3, 83, 23357 List the prime factors of 981711158. 2, 37, 487, 27241 List the prime factors of 387741309. 3, 129247103 What are the prime factors of 2894909086? 2, 61, 23728763 What are the prime factors of 30519556? 2, 17, 1553 What are the prime factors of 95824282? 2, 47912141 List the prime factors of 438270246. 2, 3, 73, 333539 List the prime factors of 40388128. 2, 11, 179, 641 List the prime factors of 260537287. 260537287 What are the prime factors of 550545342? 2, 3, 23, 347, 11497 What are the prime factors of 3555530469? 3, 4643, 85087 List the prime factors of 40013515. 5, 1279, 6257 What are the prime factors of 92812511? 11, 19, 444079 What are the prime factors of 55280635? 5, 163, 67829 List the prime factors of 1558454085. 3, 5, 34632313 List the prime factors of 777130103. 31, 2351, 10663 What are the prime factors of 13068244? 2, 7, 466723 List the prime factors of 1708584322. 2, 854292161 What are the prime factors of 560962927? 7, 67, 241, 709 List the prime factors of 599372256. 2, 3, 7, 891923 List the prime factors of 1646849588. 2, 23, 227, 78857 List the prime factors of 746770632. 2, 3, 31115443 List the prime factors of 2559290414. 2, 107, 1429, 8369 What are the prime factors of 2018325250? 2, 5, 1229, 6569 List the prime factors of 49626521. 7, 1201, 5903 What are the prime factors of 4404264? 2, 3, 183511 List the prime factors of 1025845. 5, 199, 1031 What are the prime factors of 1659977809? 7, 237139687 What are the prime factors of 314706722? 2, 11, 173, 7517 What are the prime factors of 10418728? 2, 31, 43, 977 What are the prime factors of 1249321522? 2, 277, 2255093 List the prime factors of 7530121. 7530121 What are the prime factors of 12194478? 2, 3, 677471 What are the prime factors of 363313529? 363313529 What are the prime factors of 40370951? 83, 486397 List the prime factors of 1573854667. 7, 11, 149, 19597 What are the prime factors of 181512143? 59, 313, 9829 What are the prime factors of 49042929? 3, 13, 41, 30671 List the prime factors of 337039725. 3, 5, 11, 408533 What are the prime factors of 8368284? 2, 3, 17, 19, 127 What are the prime factors of 13055303? 17, 79, 9721 List the prime factors of 328453444. 2, 11, 7464851 List the prime factors of 1067013506. 2, 13, 3037, 13513 List the prime factors of 20739433. 11, 13, 145031 List the prime factors of 270952300. 2, 5, 179, 15137 What are the prime factors of 20754827? 20754827 What are the prime factors of 2517643213? 2517643213 List the prime factors of 746076259. 503, 1483253 List the prime factors of 297122718. 2, 3, 1187, 41719 List the prime factors of 2277835. 5, 7, 151, 431 List the prime factors of 33093990. 2, 3, 5, 367711 What are the prime factors of 1201765719? 3, 7, 11, 41, 18127 What are the prime factors of 2106123996? 2, 3, 2383, 73651 What are the prime factors of 698718393? 3, 31, 463, 601 What are the prime factors of 4989387820? 2, 5, 15259, 16349 What are the prime factors of 44975947? 31, 157, 9241 What are the prime factors of 5213690629? 7, 1669, 446263 What are the prime factors of 212369848? 2, 17, 73, 21391 What are the prime factors of 5225524181? 29, 180190489 List the prime factors of 3675976450. 2, 5, 191, 384919 List the prime factors of 148430117. 11, 13493647 List the prime factors of 730706871. 3, 227, 1072991 What are the prime factors of 758323920? 2, 3, 5, 43, 197, 373 What are the prime factors of 54905117? 19, 23, 125641 List the prime factors of 156603772. 2, 13, 601, 5011 List the prime factors of 136651667. 19, 599, 12007 List the prime factors of 455377237. 7, 19, 489127 What are the prime factors of 23274953? 13, 691, 2591 List the prime factors of 103195091. 419, 246289 What are the prime factors of 91783721? 653, 140557 List the prime factors of 400892687. 13, 30837899 What are the prime factors of 843141225? 3, 5, 47, 53, 4513 What are the prime factors of 847207900? 2, 5, 7, 11, 47, 2341 What are the prime factors of 1638738426? 2, 3, 13, 17, 617, 2003 List the prime factors of 121927212. 2, 3, 11, 47, 6551 List the prime factors of 214396766. 2, 53, 73, 103, 269 List the prime factors of 11998676. 2, 103, 29123 What are the prime factors of 163702834? 2, 81851417 What are the prime factors of 88609474? 2, 17, 2606161 What are the prime factors of 1091656579? 13, 83973583 List the prime factors of 1073042760. 2, 3, 5, 2531, 3533 What are the prime factors of 681968278? 2, 53, 811, 7933 What are the prime factors of 47518800? 2, 3, 5, 7, 5657 List the prime factors of 918244726. 2, 7, 5527, 11867 What are the prime factors of 17641748? 2, 37, 199, 599 List the prime factors of 486856184. 2, 60857023 What are the prime factors of 175456019? 1009, 173891 List the prime factors of 454922. 2, 13, 17497 List the prime factors of 126455408. 2, 59, 97, 1381 List the prime factors of 124566143. 13, 9582011 List the prime factors of 2069812417. 83, 151, 239, 691 What are the prime factors of 3623009127? 3, 1207669709 What are the prime factors of 54065923? 107, 439, 1151 What are the prime factors of 1752465413? 1752465413 What are the prime factors of 53825073? 3, 29, 618679 What are the prime factors of 33538218? 2, 3, 7, 31, 25759 List the prime factors of 276315706. 2, 8669, 15937 List the prime factors of 6620584. 2, 29, 28537 What are the prime factors of 27006735? 3, 5, 7, 31, 8297 What are the prime factors of 402975981? 3, 44775109 List the prime factors of 488281185. 3, 5, 7, 1550099 What are the prime factors of 1903024384? 2, 7433689 What are the prime factors of 393347652? 2, 3, 19, 73, 23633 What are the prime factors of 1798970332? 2, 449742583 What are the prime factors
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 492549 is divided by 302? 289 Calculate the remainder when 2558162 is divided by 201. 35 Calculate the remainder when 6373566 is divided by 1162. 1158 Calculate the remainder when 4327287 is divided by 1081816. 23 Calculate the remainder when 108933 is divided by 13602. 117 Calculate the remainder when 16487498 is divided by 4121870. 18 What is the remainder when 8431 is divided by 671? 379 Calculate the remainder when 204193 is divided by 555. 508 Calculate the remainder when 78976 is divided by 78586. 390 What is the remainder when 47907301 is divided by 7984547? 19 Calculate the remainder when 43019039 is divided by 76. 75 What is the remainder when 8357 is divided by 4100? 157 Calculate the remainder when 994883 is divided by 3262. 3235 Calculate the remainder when 24439750 is divided by 390. 10 What is the remainder when 10810815 is divided by 1801801? 9 What is the remainder when 422010 is divided by 1803? 108 Calculate the remainder when 6555629 is divided by 6523. 14 What is the remainder when 92003 is divided by 17957? 2218 Calculate the remainder when 11208330 is divided by 4220. 10 Calculate the remainder when 729112 is divided by 6077. 5949 What is the remainder when 683632 is divided by 341553? 526 Calculate the remainder when 115405 is divided by 113895. 1510 What is the remainder when 48845522 is divided by 106? 86 Calculate the remainder when 132089 is divided by 44. 1 Calculate the remainder when 6236296 is divided by 2179. 2177 Calculate the remainder when 92828 is divided by 956. 96 Calculate the remainder when 638300 is divided by 49100. 0 Calculate the remainder when 59581841 is divided by 1372. 1369 What is the remainder when 208452 is divided by 22? 2 What is the remainder when 162311 is divided by 81130? 51 Calculate the remainder when 233765 is divided by 4032. 3941 What is the remainder when 21133904 is divided by 187? 99 Calculate the remainder when 4570644 is divided by 4712. 4 Calculate the remainder when 43500 is divided by 21689. 122 What is the remainder when 80404792 is divided by 31? 30 What is the remainder when 4805722 is divided by 294? 292 Calculate the remainder when 360730 is divided by 128. 26 Calculate the remainder when 1034569 is divided by 344705. 454 Calculate the remainder when 2323500 is divided by 27. 15 Calculate the remainder when 99763 is divided by 9. 7 What is the remainder when 1082043 is divided by 111? 15 Calculate the remainder when 436985 is divided by 2751. 2327 Calculate the remainder when 9886252 is divided by 223. 216 What is the remainder when 2557280 is divided by 8787? 263 Calculate the remainder when 192358 is divided by 5495. 33 Calculate the remainder when 4541176 is divided by 504572. 28 Calculate the remainder when 2835446 is divided by 7705. 6 What is the remainder when 4942934 is divided by 1647633? 35 What is the remainder when 3253690 is divided by 102? 94 Calculate the remainder when 6611537 is divided by 274. 191 Calculate the remainder when 214582 is divided by 4289. 132 Calculate the remainder when 9999372 is divided by 23808. 12 Calculate the remainder when 472777 is divided by 78778. 109 Calculate the remainder when 725711 is divided by 1487. 55 Calculate the remainder when 21125 is divided by 20581. 544 Calculate the remainder when 30193 is divided by 183. 181 Calculate the remainder when 3124735 is divided by 4820. 1375 What is the remainder when 15592 is divided by 13744? 1848 What is the remainder when 65346584 is divided by 69? 65 Calculate the remainder when 13133 is divided by 4890. 3353 What is the remainder when 2236423 is divided by 6144? 7 What is the remainder when 8559115 is divided by 570? 565 What is the remainder when 8792285 is divided by 676329? 8 Calculate the remainder when 76001 is divided by 25112. 665 What is the remainder when 5929252 is divided by 114? 112 Calculate the remainder when 80385 is divided by 2009. 25 Calculate the remainder when 3104761 is divided by 6008. 4633 Calculate the remainder when 22767 is divided by 22200. 567 What is the remainder when 1089425 is divided by 1089414? 11 What is the remainder when 55039243 is divided by 591? 4 Calculate the remainder when 2493173 is divided by 498628. 33 Calculate the remainder when 14368090 is divided by 393. 10 Calculate the remainder when 6045985 is divided by 217. 148 Calculate the remainder when 11336 is divided by 962. 754 Calculate the remainder when 226410468 is divided by 3342. 3336 What is the remainder when 75542 is divided by 3289? 3184 Calculate the remainder when 4894794 is divided by 469. 310 Calculate the remainder when 4026737 is divided by 25648. 1 What is the remainder when 870592 is divided by 3568? 0 Calculate the remainder when 134167 is divided by 291. 16 What is the remainder when 5390284 is divided by 898377? 22 Calculate the remainder when 913834 is divided by 304600. 34 What is the remainder when 48874996 is divided by 17? 13 What is the remainder when 2696285 is divided by 539253? 20 What is the remainder when 818081 is divided by 2030? 2021 What is the remainder when 5630053 is divided by 51? 10 What is the remainder when 36825 is divided by 5193? 474 What is the remainder when 64744643 is divided by 703746? 11 What is the remainder when 390423 is divided by 799? 511 Calculate the remainder when 1383282 is divided by 21281. 17 Calculate the remainder when 10553971 is divided by 12187. 29 What is the remainder when 7707 is divided by 2785? 2137 Calculate the remainder when 79995783 is divided by 39. 36 What is the remainder when 312879 is divided by 1935? 1344 What is the remainder when 2253731 is divided by 17? 7 What is the remainder when 17801785 is divided by 17801774? 11 Calculate the remainder when 3963112 is divided by 1981552. 8 What is the remainder when 24468282 is divided by 547? 425 Calculate the remainder when 13331941 is divided by 1. 0 Calculate the remainder when 85761 is divided by 21416. 97 Calculate the remainder when 377059014 is divided by 12. 6 Calculate the remainder when 1166927 is divided by 583459. 9 What is the remainder when 2437647 is divided by 1799? 2 Calculate the remainder when 125108 is divided by 7578. 3860 What is the remainder when 454539 is divided by 151279? 702 What is the remainder when 40164039 is divided by 280? 279 What is the remainder when 10031011 is divided by 5015502? 7 Calculate the remainder when 18755304 is divided by 6251736. 96 What is the remainder when 2211961 is divided by 559? 557 Calculate the remainder when 1421492 is divided by 488. 436 What is the remainder when 819426 is divided by 91045? 21 Calculate the remainder when 15973109 is divided by 15. 14 Calculate the remainder when 3225893 is divided by 623. 622 What is the remainder when 16921308 is divided by 104? 92 What is the remainder when 114086288 is divided by 8775868? 4 Calculate the remainder when 27329 is divided by 1325. 829 What is the remainder when 895642 is divided by 19470? 22 What is the remainder when 7930229 is divided by 15? 14 Calculate the remainder when 152515436 is divided by 770. 766 What is the remainder when 103620 is divided by 902? 792 What is the remainder when 1066775 is divided by 1865? 1860 Calculate the remainder when 161366 is divided by 208. 166 Calculate the remainder when 5461360 is divided by 45. 25 Calculate the remainder when 19826037 is divided by 27. 18 What is the remainder when 293166206 is divided by 4703? 4701 What is the remainder when 7769965 is divided by 34? 13 Calculate the remainder when 2934840 is divided by 20. 0 Calculate the remainder when 6130 is divided by 1348. 738 What is the remainder when 14698133 is divided by 33? 32 Calculate the remainder when 583593 is divided by 4210. 2613 What is the remainder when 392063 is divided by 392018? 45 What is the remainder when 5026641 is divided by 214? 209 Calculate the remainder when 1958989 is divided by 2632. 781 Calculate the remainder when 85911 is divided by 396. 375 What is the remainder when 122053 is divided by 2624? 1349 Calculate the remainder when 610269 is divided by 8603. 8059 What is the remainder when 1335568 is divided by 97? 72 What is the remainder when 31560 is divided by 15252? 1056 Calculate the
{ "pile_set_name": "DM Mathematics" }
rd derivative of -c**2*w*x**2 + 3*c**2*x**3 - c**2*x**2 - 175*c*w*x**3 + 8*c*x**2 + 4*c - 9*w*x**2 wrt x. 18*c**2 - 1050*c*w Differentiate -661*j*u**3 - 6*j*v**2 - 44*u**3*v**2 + 47*u**3*v wrt j. -661*u**3 - 6*v**2 What is the second derivative of 298*t**5 + 482*t? 5960*t**3 Find the third derivative of -26*g**4 + 21*g**3*r - 288*g**2 + 9*r wrt g. -624*g + 126*r Find the third derivative of 1058*i**3 - 1343*i**2. 6348 What is the second derivative of -10960*b**2 - 6156*b - 1 wrt b? -21920 Find the third derivative of -a**3*d**3*u - 3*a**3*d - 186*a**2*d**3 + 65*a**2*d**2*u + 4*a*d**3*u - 6*a*d**2*u wrt d. -6*a**3*u - 1116*a**2 + 24*a*u What is the second derivative of -13*d**5 - d**3 + 116*d**2 - 4177*d? -260*d**3 - 6*d + 232 Find the second derivative of -57*f**2*g**3*r**3 - f**2*r**3 + f*g**3*r**2 + 64*f*g**2*r**3 + 2*f*g*r wrt f. -114*g**3*r**3 - 2*r**3 Find the third derivative of -722*d**5 + 291*d**2. -43320*d**2 What is the second derivative of -43*b**2*j**4 - 28*b**2*j + j**3 wrt j? -516*b**2*j**2 + 6*j Find the third derivative of -2*w**5 + 19*w**4 + 190*w**2. -120*w**2 + 456*w Differentiate g**3*z + 4*g**2*y**2 - g*y*z**2 - 2*y**2*z + y*z - 25*z**2 wrt g. 3*g**2*z + 8*g*y**2 - y*z**2 What is the third derivative of -306*h**2*i**3 + 522*h**2*i**2 + 2*h*i**2 wrt i? -1836*h**2 What is the second derivative of 2*u**3*x - u**3 - 81*u**2*x - 6*u*x + 19*x wrt u? 12*u*x - 6*u - 162*x Find the second derivative of -8*d**3 + 3*d + 38 wrt d. -48*d Find the second derivative of 139*j*z**3 - 7*j*z - j - 3*z**3 - 50*z wrt z. 834*j*z - 18*z Find the second derivative of -6073*b**2 + 3098*b. -12146 Differentiate 4*o*u**2*z - o*u**2 - 11*o*u*z + 2636*o*u + 5*u*z - z wrt z. 4*o*u**2 - 11*o*u + 5*u - 1 What is the third derivative of -95*s**3 - 2*s**2 - 294 wrt s? -570 What is the second derivative of 1824*h**3 + 4303*h + 2? 10944*h Find the third derivative of -18*n**2*u**3 + n**2*u**2 - 1169*n*u**2 + 153*u**3 wrt u. -108*n**2 + 918 What is the second derivative of 594*q**3 - 51*q + 2 wrt q? 3564*q What is the third derivative of -d**4*x**2 + 60*d**4*x - d**2*x - 16*d*x**2 wrt d? -24*d*x**2 + 1440*d*x Differentiate -75*g + 484. -75 Find the third derivative of -592*x**3 - 27*x**2 - x. -3552 What is the second derivative of 302*n**4 + 324*n + 2? 3624*n**2 Find the second derivative of -4*s**3*y**2 + 7*s**3 + 2*s**2*y**2 + 4*s + 7*y**2 wrt s. -24*s*y**2 + 42*s + 4*y**2 What is the second derivative of -2*k**2*s*w**2 + 4*k**2*s - 44*k**2*w**2 - 145*k - s*w**2 wrt k? -4*s*w**2 + 8*s - 88*w**2 Find the third derivative of -2*d**6 + 11*d**5 - 3*d**4 - 85*d**2 - 14. -240*d**3 + 660*d**2 - 72*d What is the third derivative of -19*c**5 - 61*c**4 - c**3 - 2*c**2 + 1232 wrt c? -1140*c**2 - 1464*c - 6 What is the second derivative of 5*o**3 - 4*o**2 + 3*o - 29? 30*o - 8 Differentiate 169*i*k - 160*i + 2*k**4 - 1 wrt k. 169*i + 8*k**3 Find the second derivative of -u**5 + 206*u**3 - 15*u - 9. -20*u**3 + 1236*u Differentiate 3*a*b*u**2 + 2*a*b*u*z**2 + a*z**2 - 2*b*u**2*z - b*u**2 - 7*b*u*z + u*z**2 with respect to a. 3*b*u**2 + 2*b*u*z**2 + z**2 Find the second derivative of 17352*j**2*t*u**2 + 557*j*t*u**2 - 2*j*t - 3*j*u**2 + j*u - t wrt j. 34704*t*u**2 What is the derivative of b**2*d - 3*b**2 + 567*b*d**2 - 2*b*d - 4*d**2 - 73*d - 6 wrt b? 2*b*d - 6*b + 567*d**2 - 2*d Find the third derivative of -58*g*q**6 - 25*g*q**2 - 5*q**4 - 46*q**2 wrt q. -6960*g*q**3 - 120*q What is the derivative of -5049*f - 3988? -5049 Find the third derivative of 168*x**3 + 31*x**2 + 2. 1008 Find the second derivative of 3518*b**2*n**3*w**2 - 7*b**2*n**2*w - b*n**3*w - 6*b*n**2 + 2*n*w wrt w. 7036*b**2*n**3 Find the third derivative of -189*t**6 + 2*t**2 + 91. -22680*t**3 What is the third derivative of 742*d**6 - 6*d**4 + 2*d**3 - 13644*d**2 wrt d? 89040*d**3 - 144*d + 12 Find the second derivative of -d*r**2*z - 2*d*r**2 - 32*d*z**2 - 2*d + 4*r**2*z**2 + r*z**2 wrt r. -2*d*z - 4*d + 8*z**2 Find the first derivative of -5*c*h**3 - 2*c*h + 176*c - 21*h**3 wrt h. -15*c*h**2 - 2*c - 63*h**2 What is the first derivative of -49*d*w**2 - 4*d*w - 160*w**2 wrt d? -49*w**2 - 4*w Find the third derivative of -10*g**5 + 4*g**3 - 322*g**2 wrt g. -600*g**2 + 24 What is the third derivative of -2*z**6 - 588*z**3 + 208*z**2 - 2? -240*z**3 - 3528 What is the third derivative of 5*c**5*s**2 - 4*c**4*s + 5*c**2 + 11*c*s**2 wrt c? 300*c**2*s**2 - 96*c*s Find the third derivative of 1372*o**3*w**3 - 2*o**2*w**3 - 2*o**2 + 941*w**2 wrt o. 8232*w**3 What is the third derivative of 2*i**3*k*n + 391*i**3*n + 5*i**2*k*n - 44*k*n wrt i? 12*k*n + 2346*n What is the first derivative of -5*p*x**3 + 21*p*x**2 + 2*x**3 - 44 wrt p? -5*x**3 + 21*x**2 What is the third derivative of -2*n**2*w**4 - 488*n**2*w**2 - 67*n*w**4 - 2*n*w - n + 4*w**4 - w**2 wrt w? -48*n**2*w - 1608*n*w + 96*w Differentiate -14*h**4*p - 2*h**3*p - 22*h**2*p + p - 5918 wrt h. -56*h**3*p - 6*h**2*p - 44*h*p Find the second derivative of 21*b**3*l*o**2 - 6*b**3*l + b**2*l**2*o**2 + b**2*l*o - l**2*o - o**2 wrt o. 42*b**3*l + 2*b**2*l**2 - 2 Find the first derivative of -3*b*u**3 - 2*b*u + 509*b + 8*u**3 - 5*u - 3 wrt b. -3*u**3 - 2*u + 509 Find the second derivative of -51*o**4 - 3*o wrt o. -612*o**2 What is the derivative of 14*a*l**2 - a + 2*l**2 - 26 wrt l? 28*a*l + 4*l What is the third derivative of -20*y**6 - 11*y**3*z**2 + 64*y**2*z**2 - 4*y**2*z wrt y? -2400*y**3 - 66*z**2 Find the third derivative of -7183*i**6 - 3522*i**2 wrt i. -861960*i**3 What is the second derivative of -272*g**4 - 589*g wrt g? -3264*g**2 Find the second derivative of -3135*l**2 - 2*l + 2305. -6270 What is the third derivative of -3*a**5 - 242*a**3 - 675*a**2 - a wrt a? -180*a**2 - 1452 Find the second derivative of -d*k*m**2*z + 4*d*k*m**2 - d*k*m*z**2 + d*k + 5*d*m*z**2 + 5*d*z**2 + 2*m**2*z**2 wrt m. -2*d*k*z + 8*d*k + 4*z**2 Differentiate -2441*r**2 + 6449. -4882*r What is the third derivative of -4*q**6 + 4*q**5 - 87*q**2 + 4*q? -480*q**3 + 240*q**2 What is the second derivative of 3*m**3*u**4 - m**3*u - 2*m**3 - 124*u**5 + 2 wrt u? 36*m**3*u**2 - 2480*u**3 Find the second derivative of -220*j**5 - 38*j - 5 wrt j. -4400*j**3 Find the third derivative of -31389*a**4 + 9477*a**2. -753336*a What is the second derivative of -125*i**2 + 79*i - 5? -250 What is the second derivative of 2*d**4*w + 22*d**2*w**3 + 3*d*w**3 + 49*d*w wrt d? 24*d**2*w + 44*w**3 What is the third derivative of 2*t**6 - 961*t**5 - 5*t**2 - 511*t wrt t? 240*t**3 - 57660*t**2 Find the first derivative of -3*a**2*r**3 - 2395*a**2*r - r**3 - 737*r**2 wrt a. -6*a*r**3 - 4790*a*r What is the second derivative of 95*i**4 + 4*i**2 - 63*i? 1140*i**2 + 8 Find the second derivative of -333*j**2*r + 2*j*r - 21*j - 2 wrt j. -666*r Find the first derivative of 448*q**2 + 182 wrt q. 896*q Find the third derivative of 212*a**2*l**3 - 2*a**2*l + 2*a*l**3 + 3*a + l**3 - 87*l**2 - l wrt l. 1272*a**2 + 12*a + 6 What is the first derivative of 34*f**3*q**2 - 2*f**2*q**3 + 28*q**3 - 3*q**2 wrt f? 102*f**2*q**2 - 4*f*q**3 What is the third derivative of -16*a**2*u**3 + 52*a**2*u + 2*a*u**3 - 16*u**4 + 2*u**2 wrt u? -96*a**2 + 12*a - 384*u Find the second derivative of -9723*y**2 + 4059*y. -19446 Differentiate -7*f*k**2*v + 4*f*k*v + f*v - k**2 - 12*v with respect to k. -14*f*k*v + 4*f*v - 2*k Find the second derivative of -6*d**2*l**2*n*u - 6*d**2*l*u**2 + d**2*n*u**2 + 2*d**2 - 259*d*l**2*n*u**2 - 60*d*l*n*u**2 - 2*d*n*u wrt l. -12*d**2*n*u - 518*d*n*u**2 What is the third derivative of -199*u**4 - 12*u**2 - 1? -4776*u Find the first derivative of -438*p**4 - 404 wrt p. -1752*p**3 Find the second derivative of -6*j**2*q**3 + 5*j**2*q + 1425*j**2 - 214*j*q**2 wrt q. -36*j**2*q - 428*j Differentiate -28397*s**3 - 6852 wrt s. -85191*s**2 What is the second derivative of 3*n**5 + 3*n**2*p**2 - 26*n*p**2 - 3*p**2 wrt n? 60*n**3 + 6*p**2 What is the second derivative of -13*q**5 - 41*q**4 - 19151*q wrt q? -260*q**3 - 492*q**2 What is the third derivative of -4233*u**4 - 2*u**3 + 21972*u**2 wrt u? -101592*u - 12 Find the third derivative of 516*w**6 - w**2 - 12. 61920*w**3 What is the third derivative of 570*d**5 - 76*d**2 - 6*d? 34200*d**2 What is the third derivative of 32*k*s**3*y + 2*k*s**3 + k*s**2*y - 2*k*s
{ "pile_set_name": "DM Mathematics" }
hree letters picked without replacement from {k: 3, b: 3}. What is prob of sequence kkb? 3/20 Two letters picked without replacement from {b: 7, n: 4, q: 3, h: 5}. Give prob of sequence qb. 7/114 Calculate prob of sequence as when two letters picked without replacement from {a: 13, s: 3}. 13/80 What is prob of sequence wd when two letters picked without replacement from {w: 5, d: 2}? 5/21 Two letters picked without replacement from {j: 7, u: 4, q: 3, z: 1, s: 1}. What is prob of sequence uq? 1/20 Calculate prob of sequence vv when two letters picked without replacement from {f: 2, v: 8}. 28/45 Two letters picked without replacement from kkkkkwwqrqkkkkqedd. What is prob of sequence we? 1/153 Four letters picked without replacement from {y: 4}. What is prob of sequence yyyy? 1 Calculate prob of sequence aa when two letters picked without replacement from reraeaaeeerrrer. 1/35 What is prob of sequence gzg when three letters picked without replacement from ggzzz? 1/10 What is prob of sequence uuyu when four letters picked without replacement from {p: 1, t: 6, y: 5, n: 2, u: 5, r: 1}? 5/1938 What is prob of sequence up when two letters picked without replacement from ihbpauaibibhiubbubii? 3/380 Two letters picked without replacement from {v: 3, l: 4}. Give prob of sequence ll. 2/7 Calculate prob of sequence fwaa when four letters picked without replacement from aaxxfaowwww. 1/330 What is prob of sequence xxdx when four letters picked without replacement from {h: 1, x: 4, d: 2, w: 1, k: 1}? 1/63 Calculate prob of sequence wz when two letters picked without replacement from rzwdwsbr. 1/28 Three letters picked without replacement from pzjfjyf. What is prob of sequence jzf? 2/105 What is prob of sequence cckh when four letters picked without replacement from {c: 2, g: 1, v: 1, h: 2, k: 1}? 1/210 What is prob of sequence na when two letters picked without replacement from cwavaaaaaaaanyy? 3/70 Two letters picked without replacement from {o: 3, e: 1, d: 6, h: 5}. What is prob of sequence ho? 1/14 Three letters picked without replacement from {u: 2, z: 7, r: 2, f: 7}. Give prob of sequence urf. 7/1224 Three letters picked without replacement from ttbutbycbtcbbccbcubc. Give prob of sequence cbc. 7/228 Three letters picked without replacement from {p: 5, d: 3}. Give prob of sequence pdp. 5/28 Three letters picked without replacement from {p: 7, t: 12}. What is prob of sequence tpp? 28/323 Calculate prob of sequence tt when two letters picked without replacement from ppppphhhphhhhhthhhtp. 1/190 Two letters picked without replacement from {o: 6, k: 2, r: 2, z: 4, a: 3}. Give prob of sequence ro. 3/68 Three letters picked without replacement from exxqxqx. Give prob of sequence eqx. 4/105 What is prob of sequence vvvc when four letters picked without replacement from {v: 3, c: 4}? 1/35 Four letters picked without replacement from lwlwll. Give prob of sequence lwwl. 1/15 What is prob of sequence cxn when three letters picked without replacement from nnnonunuunnnnonucoox? 1/684 Calculate prob of sequence ntn when three letters picked without replacement from {n: 2, t: 3}. 1/10 Three letters picked without replacement from cbcbbclmccbbbcmubcc. Give prob of sequence ucb. 28/2907 Two letters picked without replacement from {b: 5, s: 8}. Give prob of sequence bb. 5/39 Three letters picked without replacement from nquqjnnaiijjnnnijaa. Give prob of sequence qnq. 2/969 Calculate prob of sequence rvi when three letters picked without replacement from rnqvinrvnoon. 1/330 Four letters picked without replacement from yyyccycyccccy. Give prob of sequence yyyy. 3/143 What is prob of sequence mj when two letters picked without replacement from ymmybjyyky? 1/45 Four letters picked without replacement from jffjgjf. Give prob of sequence gfjj. 3/140 What is prob of sequence bguu when four letters picked without replacement from ubggbguu? 3/140 What is prob of sequence zh when two letters picked without replacement from {m: 3, z: 2, v: 3, j: 7, r: 3, h: 1}? 1/171 What is prob of sequence ghhg when four letters picked without replacement from ghghhhghhhhh? 2/55 What is prob of sequence nn when two letters picked without replacement from ffnfnn? 1/5 Two letters picked without replacement from exxex. Give prob of sequence xe. 3/10 Three letters picked without replacement from eevzzeeeezvzezzveez. What is prob of sequence zvz? 7/323 Four letters picked without replacement from {b: 5, h: 3, z: 1, k: 1}. Give prob of sequence hbbz. 1/84 What is prob of sequence eg when two letters picked without replacement from efhnnnefhfnnnhnngnf? 1/171 Four letters picked without replacement from {x: 3, v: 3, i: 8, q: 3, m: 1}. What is prob of sequence xqqq? 1/4080 Calculate prob of sequence xxu when three letters picked without replacement from uxx. 1/3 Two letters picked without replacement from {j: 1, t: 1, r: 1}. Give prob of sequence rt. 1/6 Calculate prob of sequence lq when two letters picked without replacement from {e: 1, r: 3, w: 1, y: 2, q: 3, l: 2}. 1/22 Calculate prob of sequence im when two letters picked without replacement from meimmieeeeme. 2/33 Three letters picked without replacement from {t: 7, k: 7}. What is prob of sequence tkk? 7/52 What is prob of sequence fzkk when four letters picked without replacement from {z: 1, w: 4, f: 6, k: 5}? 1/364 Calculate prob of sequence uxu when three letters picked without replacement from xxxxxxuxxuuuxu. 15/182 Two letters picked without replacement from mmu. Give prob of sequence mu. 1/3 Two letters picked without replacement from {r: 1, a: 1, z: 1}. What is prob of sequence az? 1/6 Calculate prob of sequence hhg when three letters picked without replacement from {h: 5, g: 6, v: 3, j: 1}. 4/91 Two letters picked without replacement from iimmimmmmipvmppipi. What is prob of sequence pi? 4/51 Three letters picked without replacement from zzzppezpz. Give prob of sequence pzz. 5/42 Two letters picked without replacement from vvvvvv. Give prob of sequence vv. 1 Calculate prob of sequence qwq when three letters picked without replacement from {t: 2, q: 3, m: 5, v: 1, w: 3, e: 1}. 3/455 What is prob of sequence ggg when three letters picked without replacement from vggvgv? 1/20 Two letters picked without replacement from {f: 2, x: 5}. Give prob of sequence xx. 10/21 Four letters picked without replacement from {g: 3, u: 2, s: 3, e: 10}. Give prob of sequence gesg. 1/408 What is prob of sequence ebyc when four letters picked without replacement from cbeccbybcbcbyyyb? 1/364 Calculate prob of sequence xr when two letters picked without replacement from xxxrxmrmxmxmmmx. 1/15 What is prob of sequence fjj when three letters picked without replacement from wfkcbckjj? 1/252 Two letters picked without replacement from {v: 1, f: 8, j: 4, o: 2, r: 2, e: 2}. Give prob of sequence je. 4/171 Three letters picked without replacement from qggllgyggogyl. Give prob of sequence llq. 1/286 Four letters picked without replacement from yyyyyyrryyy. Give prob of sequence ryyr. 1/55 Three letters picked without replacement from {k: 1, c: 1, q: 1, g: 3, j: 1}. Give prob of sequence ggc. 1/35 Calculate prob of sequence qe when two letters picked without replacement from {q: 4, g: 3, e: 6}. 2/13 What is prob of sequence jkd when three letters picked without replacement from fffffjykfyyjjd? 1/728 Three letters picked without replacement from {v: 1, h: 1, w: 2, l: 1, a: 2}. What is prob of sequence wah? 2/105 What is prob of sequence uu when two letters picked without replacement from zzzwzuzuxzuz? 1/22 Calculate prob of sequence pp when two letters picked without replacement from nnppp. 3/10 What is prob of sequence iiei when four letters picked without replacement from efiieifffffef? 3/2860 Calculate prob of sequence mrm when three letters picked without replacement from mrrrrrrrrmrrmm. 5/91 What is prob of sequence eeie when four letters picked without replacement from {e: 4, o: 5, i: 1}? 1/210 What is prob of sequence gc when two letters picked without replacement from gcgcu? 1/5 What is prob of sequence mimm when four letters picked without replacement from mimmiimimmmmiiiiiim? 35/646 Three letters picked without replacement from {w: 2, x: 1, m: 1, i: 1, v: 1, e: 2}. W
{ "pile_set_name": "DM Mathematics" }
inder when 50686270 is divided by 1008? 1006 Calculate the remainder when 505925 is divided by 357. 56 What is the remainder when 108993101 is divided by 59? 41 What is the remainder when 6219599 is divided by 51? 47 Calculate the remainder when 4458366 is divided by 6674. 134 What is the remainder when 121050371 is divided by 97? 94 What is the remainder when 15832910 is divided by 1638? 2 What is the remainder when 926164 is divided by 28065? 19 What is the remainder when 380538 is divided by 94634? 2002 What is the remainder when 514955 is divided by 32180? 75 What is the remainder when 792820 is divided by 974? 958 What is the remainder when 518430 is divided by 1096? 22 Calculate the remainder when 752351 is divided by 204. 203 What is the remainder when 17592 is divided by 5005? 2577 What is the remainder when 11364364 is divided by 106? 104 What is the remainder when 2413346 is divided by 224? 194 What is the remainder when 760503 is divided by 190125? 3 What is the remainder when 1447396 is divided by 1522? 1496 What is the remainder when 98208 is divided by 1169? 12 Calculate the remainder when 2332243 is divided by 582870. 763 What is the remainder when 44381 is divided by 9225? 7481 What is the remainder when 13235614 is divided by 898? 890 Calculate the remainder when 90610962 is divided by 633643. 13 What is the remainder when 50254 is divided by 4332? 2602 What is the remainder when 15994749 is divided by 48? 45 Calculate the remainder when 5912534 is divided by 14. 12 What is the remainder when 52957 is divided by 133? 23 Calculate the remainder when 17340492 is divided by 46. 10 Calculate the remainder when 161920 is divided by 23110. 150 What is the remainder when 37591235 is divided by 37591229? 6 What is the remainder when 2008291 is divided by 151? 142 Calculate the remainder when 50122 is divided by 156. 46 Calculate the remainder when 4042656 is divided by 37. 36 What is the remainder when 477513 is divided by 29841? 57 What is the remainder when 45070763 is divided by 287? 283 What is the remainder when 10757377 is divided by 430295? 2 What is the remainder when 35092824 is divided by 33? 30 What is the remainder when 22798775 is divided by 62980? 15 Calculate the remainder when 284171 is divided by 1579. 1530 What is the remainder when 2905154 is divided by 348? 50 What is the remainder when 5950870 is divided by 44405? 600 Calculate the remainder when 1684806 is divided by 2925. 6 Calculate the remainder when 273159 is divided by 1129. 1070 What is the remainder when 2053820 is divided by 22323? 104 Calculate the remainder when 857864 is divided by 324. 236 Calculate the remainder when 45225792 is divided by 45225787. 5 Calculate the remainder when 92531 is divided by 872. 99 What is the remainder when 8758440 is divided by 85867? 6 Calculate the remainder when 24092277 is divided by 4818452. 17 What is the remainder when 2684387 is divided by 1342191? 5 Calculate the remainder when 702407 is divided by 78042. 29 What is the remainder when 589832 is divided by 2403? 1097 What is the remainder when 2675411 is divided by 65? 11 What is the remainder when 491635 is divided by 4167? 4096 Calculate the remainder when 192331507 is divided by 35. 32 What is the remainder when 1966378 is divided by 982772? 834 Calculate the remainder when 71572 is divided by 764. 520 Calculate the remainder when 13013100 is divided by 500503. 22 What is the remainder when 57502566 is divided by 31405? 11 Calculate the remainder when 3298455 is divided by 412306. 7 Calculate the remainder when 157603 is divided by 116. 75 Calculate the remainder when 65314379 is divided by 116. 115 Calculate the remainder when 2198588 is divided by 18. 14 What is the remainder when 16928193 is divided by 596? 5 What is the remainder when 646090 is divided by 207? 43 Calculate the remainder when 10337 is divided by 749. 600 Calculate the remainder when 219821 is divided by 361. 333 Calculate the remainder when 6263475 is divided by 150. 75 Calculate the remainder when 1234474 is divided by 8016. 10 Calculate the remainder when 109616 is divided by 579. 185 What is the remainder when 2983910 is divided by 30441? 692 What is the remainder when 34559998 is divided by 75? 73 Calculate the remainder when 20594789 is divided by 30. 29 Calculate the remainder when 3189260 is divided by 312. 308 Calculate the remainder when 935732 is divided by 20203. 6394 Calculate the remainder when 3714696 is divided by 1238144. 264 What is the remainder when 23292 is divided by 1054? 104 Calculate the remainder when 157587338 is divided by 1097. 1094 Calculate the remainder when 5280443 is divided by 43282. 39 What is the remainder when 158505 is divided by 77365? 3775 What is the remainder when 122726 is divided by 24432? 566 Calculate the remainder when 237034 is divided by 1756. 1730 Calculate the remainder when 14144296 is divided by 7072116. 64 Calculate the remainder when 27628748 is divided by 625. 623 What is the remainder when 38737111 is divided by 486? 481 Calculate the remainder when 8052208 is divided by 917. 31 What is the remainder when 2117387 is divided by 1131? 155 What is the remainder when 3679905 is divided by 15020? 5 Calculate the remainder when 1064606 is divided by 266151. 2 Calculate the remainder when 149945 is divided by 347. 41 Calculate the remainder when 1238628981 is divided by 23. 22 What is the remainder when 67881 is divided by 6767? 211 What is the remainder when 11781520 is divided by 925? 720 Calculate the remainder when 1105259692 is divided by 6. 4 Calculate the remainder when 14615 is divided by 4839. 98 What is the remainder when 39188155 is divided by 396? 391 What is the remainder when 63774 is divided by 75? 24 Calculate the remainder when 55034691 is divided by 33. 30 Calculate the remainder when 244633 is divided by 1087. 58 What is the remainder when 5203528 is divided by 129? 55 Calculate the remainder when 773558 is divided by 532. 30 What is the remainder when 2604260 is divided by 200290? 490 Calculate the remainder when 150844594 is divided by 4122. 4 Calculate the remainder when 316011 is divided by 4893. 2859 Calculate the remainder when 4368 is divided by 3485. 883 Calculate the remainder when 351179 is divided by 175368. 443 What is the remainder when 169342 is divided by 41874? 1846 What is the remainder when 455112 is divided by 5056? 72 Calculate the remainder when 477830 is divided by 1642. 8 What is the remainder when 288949 is divided by 2330? 29 What is the remainder when 939137161 is divided by 6062? 6059 What is the remainder when 167233915 is divided by 1229661? 19 Calculate the remainder when 40337 is divided by 5139. 4364 Calculate the remainder when 3542818 is divided by 3542774. 44 What is the remainder when 2534121 is divided by 27? 9 What is the remainder when 2180063 is divided by 331? 97 Calculate the remainder when 50982751 is divided by 346. 343 What is the remainder when 4160130 is divided by 277341? 15 What is the remainder when 12405425 is divided by 3333? 3332 Calculate the remainder when 15405640 is divided by 15405628. 12 What is the remainder when 699101 is divided by 293? 3 What is the remainder when 59066 is divided by 712? 682 Calculate the remainder when 322109 is divided by 748. 469 Calculate the remainder when 2265539 is divided by 1759. 1706 What is the remainder when 7244048 is divided by 6468? 6356 Calculate the remainder when 445771 is divided by 501. 382 What is the remainder when 732031 is divided by 36601? 11 What is the remainder when 886607 is divided by 3821? 135 Calculate the remainder when 63154634 is divided by 313. 311 What is the remainder when 1369603 is divided by 35118? 1 What is the remainder when 178751 is divided by 35688? 311 Calculate the remainder when 1220324 is divided by 58053. 1211 Calculate the remainder when 4470056 is divided by 14608. 8 What is the remainder when 2764319 is divided by 115178? 47 What is the remainder when 5411878 is divided by 30403? 144 Calculate the remainder when 253922 is divided by 23033. 559 Calculate the remainder when 26867744 is divided by 650. 644 What is the remainder when 1295615 is divided by 38106? 11 What is the remainder when
{ "pile_set_name": "DM Mathematics" }
*l**3 - 6 - 22*l - 80/3*l**2. -2*(l + 1)*(4*l + 3)**2/3 Let h = -7 + 26/3. Factor -2/3 + h*b - b**2 - 1/3*b**3 + 1/3*b**4. (b - 1)**3*(b + 2)/3 Let b be ((-2)/(-4))/(((-308)/(-33))/14). Factor -1/2*k - b*k**2 + 0 - 1/4*k**3. -k*(k + 1)*(k + 2)/4 Let s(f) be the first derivative of -f**8/3360 - f**7/280 - f**6/80 + 4*f**3/3 + 1. Let r(h) be the third derivative of s(h). Solve r(n) = 0 for n. -3, 0 Let t(j) = 2 + j**2 - 3*j**2 + j + j**2 + 0*j**2. Let r be t(2). Suppose 0*c**2 + 0*c + r - 1/3*c**3 - 1/3*c**5 + 2/3*c**4 = 0. What is c? 0, 1 Let b(c) be the second derivative of 4*c**2 + 0 + 1/6*c**4 - 4/3*c**3 - 2*c. Solve b(y) = 0 for y. 2 Factor -12*b**3 + 20*b - 224*b**2 - 8*b**3 - 8 + 232*b**2. -4*(b - 1)*(b + 1)*(5*b - 2) Let i(z) be the first derivative of 2*z**5 - 12*z**4/7 + 8*z**3/21 + 8. What is h in i(h) = 0? 0, 2/7, 2/5 Determine w so that -4/7*w**2 + 6/7 - 2/7*w**5 - 10/7*w + 12/7*w**3 - 2/7*w**4 = 0. -3, -1, 1 Suppose 13 = n + 9. Let 0*u + 0 + u**2 + 5/2*u**3 + 2*u**n + 1/2*u**5 = 0. Calculate u. -2, -1, 0 Suppose 2 = -q + 2*q - 2*l, 2*q - l = 4. Factor n + 3/4 + 1/4*n**q. (n + 1)*(n + 3)/4 Factor -40*o**3 - 19*o**4 + 8*o**3 + 3*o**4 + 36*o + 12*o**2. -4*o*(o - 1)*(2*o + 3)**2 Let t(k) = -9*k**3 + 2*k**2 + 7*k - 7. Let r be 26/(-6) - (-5)/15. Let a(n) = 5*n**3 - n**2 - 4*n + 4. Let m(h) = r*t(h) - 7*a(h). Find x, given that m(x) = 0. 0, 1 Suppose k = -k - k. Factor -2/7*u**3 + k*u + 0*u**2 + 0. -2*u**3/7 Let g(i) = -12*i + 96. Let n be g(8). Let p be (-1)/(-3)*(-1 + 10). Find s, given that 0 + n*s**2 - 2/5*s**p + 2/5*s = 0. -1, 0, 1 Let z be 40/(-5) + (-12 - -20). Factor 0 + 2/7*h**3 + 0*h + z*h**2. 2*h**3/7 Determine u so that 1/3*u**2 - 1/3*u + 1/9 - 1/9*u**3 = 0. 1 Suppose -2*z + 24 = -6*z. Let u be 4 + -3*4/z. Factor 4*w**2 - w**2 - 3 - w**2 + 7 + u*w. 2*(w + 1)*(w + 2) Let b be 1/(-1)*(-1 - (-5)/7). Factor b + 2/7*f**2 + 4/7*f. 2*(f + 1)**2/7 Let d(l) be the first derivative of -l**6/3 + 6*l**5/5 - l**4 - 18. Find s, given that d(s) = 0. 0, 1, 2 Let g(f) be the second derivative of -f**7/126 - 4*f**6/45 - 4*f**5/15 + 25*f. Suppose g(o) = 0. What is o? -4, 0 Suppose 0 = -7*u + 5*u + 4. Let z be ((-4)/(-2))/((-4)/(-6)). Solve y**5 - 7*y**5 - u*y**2 + 6*y**3 - 2*y**2 + 4*y**4 + 0*y**z = 0. -1, 0, 2/3, 1 Suppose -49 = -4*k + 3*h, 57 = 4*k + 7*h - 2*h. Let l = k - 5. Factor 20*s**3 - l*s**4 + 10*s + 2*s**4 - 2*s**5 - 2 - 4*s**4 + 4*s**5 - 20*s**2. 2*(s - 1)**5 Let b(m) = -m**3 - 2*m**2 + m + 2. Let d be b(-1). Solve d*v - 8/9*v**2 - 14/9*v**4 + 32/9*v**3 + 0 = 0. 0, 2/7, 2 Let k be (14/6 - 3)*327/(-8). Factor 49/4*p**5 + k*p**3 + 9*p**2 + 63/2*p**4 + p + 0. p*(p + 1)**2*(7*p + 2)**2/4 What is i in 3 + 19*i**3 + 1 - 3*i**2 - 9*i**3 - 9*i**3 = 0? -1, 2 Let a = 156 + -154. Factor d + 1/4*d**a + 1. (d + 2)**2/4 Let u = -28 + 45. Suppose 26 = 3*v + 5*n - 1, u = 5*v - n. Factor 3*f**3 + 3*f**v + 5*f**2 - 2*f**2 - 2*f**4 + 2*f - f. f*(f + 1)**3 Determine w, given that -4/19*w + 2/19*w**3 + 0 + 2/19*w**2 = 0. -2, 0, 1 Let z(o) be the second derivative of -o**4/54 + o**3/9 + 4*o**2/9 + 20*o. Factor z(h). -2*(h - 4)*(h + 1)/9 Let h(t) = t**3 - t**2 + t - 1. Let v(x) = -10*x**3 - 18*x**2 + 138*x - 238. Let w(b) = -12*h(b) - v(b). Factor w(r). -2*(r - 5)**3 Let f(q) = -q**4 + 1. Let j(d) = 14*d**4 - 2*d**3 - 6*d**2 + 2*d - 8. Let k(b) = 8*f(b) + j(b). Suppose k(u) = 0. Calculate u. -1, 0, 1/3, 1 Let m(n) be the third derivative of n**8/168 + n**7/42 + n**6/30 + n**5/60 - 11*n**2. Factor m(v). v**2*(v + 1)**2*(2*v + 1) Let g(d) be the first derivative of 3 - 1/9*d**3 - 3*d - 1/30*d**5 + 0*d**2 + 1/9*d**4. Let z(k) be the first derivative of g(k). Factor z(c). -2*c*(c - 1)**2/3 Let s(i) be the first derivative of 2*i**5/35 + 3*i**4/28 - i**2/14 + 7. Factor s(y). y*(y + 1)**2*(2*y - 1)/7 Factor -8/11*y**2 + 0*y**3 + 0*y + 16/11 + 1/11*y**4. (y - 2)**2*(y + 2)**2/11 Let c be (46/(-21) - -2)*-3. Let l = 30 + -208/7. Solve -c*k - l - 2/7*k**2 = 0 for k. -1 Let m(p) be the first derivative of -p**5/15 + p**4/4 - p**3/3 - 5*p**2 + 6. Let i(j) be the second derivative of m(j). Factor i(w). -2*(w - 1)*(2*w - 1) Let p(o) = -3*o**5 + 4*o**4 + 8*o**3 + 4*o**2 - 4. Let t(b) = -2*b**5 + 4*b**4 + 7*b**3 + 3*b**2 - 3. Let h(v) = -3*p(v) + 4*t(v). Factor h(w). w**3*(w + 2)**2 Let a(b) = -b**4 + b**2 + 1. Let f(o) = 12*o**5 - 42*o**4 + 45*o**3 - 18*o**2 + 3*o + 3. Let y = -12 - -13. Let g(d) = y*f(d) - 3*a(d). Factor g(t). 3*t*(t - 1)**3*(4*t - 1) Suppose j + 2*j = -f, 2*f + 3*j = 0. Factor 1/3*u - 2/3*u**2 + f + 1/3*u**3. u*(u - 1)**2/3 Let 122 + 4*n**3 - 2*n**5 - n**2 + 4*n**4 - 118 - 2*n - 7*n**2 = 0. What is n? -1, 1, 2 Let k(f) = -6 + 2*f**2 + 3*f**2 + 3*f**2 + 4*f. Let c = -6 + 0. Let b(m) = -7*m**2 - 3*m + 5. Let h(o) = c*b(o) - 5*k(o). Determine i so that h(i) = 0. 0, 1 Let m(u) be the first derivative of -3 - 1/2*u**3 + 2*u**2 - 2*u. Determine v, given that m(v) = 0. 2/3, 2 Let x be (-5)/(-6)*4/10. Let l = -60 + 60. Let -x*h**2 + 0 + l*h = 0. What is h? 0 Let d(f) be the first derivative of f**4/26 - 2*f**3/13 + 8*f/13 - 15. Factor d(q). 2*(q - 2)**2*(q + 1)/13 Factor 0 + 1/3*n**2 + 4/3*n. n*(n + 4)/3 Let i(t) be the third derivative of t**6/140 + t**5/42 + t**4/42 - 7*t**2. Factor i(y). 2*y*(y + 1)*(3*y + 2)/7 Let t(l) = 15*l**2 - 40*l + 30. Let i(y) = -8*y**2 + 20*y - 15. Let f(z) = 5*i(z) + 3*t(z). Factor f(r). 5*(r - 3)*(r - 1) Let d(z) = z**3 - 6*z**2 - z - 3. Let l be d(6). Let p = l + 13. Find r such that -2/3*r**p + 4/3*r**2 + 2/3*r**5 - 4/3*r**3 + 2/3*r - 2/3 = 0. -1, 1 Let n(t) be the second derivative of -t**6/10 + 3*t**5/20 + 3*t**4/4 - t**3/2 - 3*t**2 + 49*t. Factor n(s). -3*(s - 2)*(s - 1)*(s + 1)**2 Suppose -4*q = -2*s - 20, 4*s + 10 = -q + 4*q. Factor -11*c**5 - 5*c**3 - 2 - 29*c**3 + 30*c**4 + 20*c**2 + 3*c**5 - q*c**3. -2*(c - 1)**4*(4*c + 1) Let u(b) be the first derivative of 20*b**5 - 30*b**4 - 44*b**3/3 + 24*b**2 + 16*b + 3. Suppose u(o) = 0. Calculate o. -2/5, 1 Let c(f) be the third derivative of 0 - 1/300*f**5 + 0*f**4 + 0*f + 1/1050*f**7 + 3*f**2 + 0*f**3 + 0*f**6. Factor c(i). i**2*(i - 1)*(i + 1)/5 Let x(c) be the second derivative of -29*c**5/20 - 37*c**4/12 - 4*c**3/3 - 3*c. Let m(d) = -7*d**3 - 9*d**2 - 2*d. Let i(y) = 9*m(y) - 2*x(y). Factor i(h). -h*(h + 1)*(5*h + 2) Let n(w) be the second derivative of 1/48*w**4 + 0*w**2 + 8*w + 1/84*w**7 - 1/40*w**6 + 0 + 0*w**5 + 0*w**3. Suppose n(t) = 0. What is t? -1/2, 0, 1 Let b(o) = -3*o**2 - 12*o - 8. Let u(n) = -24*n**2 - 96*n - 63. Let w(h) = -33*b(h) + 4*u(h). Determine s, given that w(s) = 0. -2 Let j(r) = r**3 - 7*r**2 - 9*r. Let b be j(8). Let y be (-2)/b*144/27. Factor y*x**5 + 7/3*x**2 + 13/3*x**4 + 0 + 1/3*x + 5*x**3. x*(x + 1)**3*(4*x + 1)/3 Factor 0*l - 2/5*l**3 + 0*l**2 + 0 - 1/5*l**4. -l**3*(l + 2)/5 Suppose 3*z = 7*z - 16. Factor -1/3*y - 1/3*y**2 + 1/3*y**3 + 1/3*y**z + 0. y*(y - 1)*(y + 1)**2/3 Let s(k) = -12*k**2 - 20*k + 8. Let b(h) = 12*h**2 + 20*h - 8. Let q(l) = -4*b(l) - 3*s(l). Factor q(w). -4*(w + 2)*(3*w - 1) Let u(c) be the first derivative of 9*c**5/10 + 3*c**4/2 + c**3/2 - 11. Determine a so that u(a) = 0. -1, -1/3, 0 Let x be (-39)/(-15) - 3 - 1624/(-60). Let -x*o**2 + 22/3*o - 2/3 + 32*o**3 = 0. What is o? 1/4, 1/3 Let m be 3*((-35)/15 - -3). Factor -6/7*u + 0*u**m + 8/7*u**3 + 2/7. 2*(u + 1)*(2*u - 1)**2/7 Let v(m) be the first derivative of -1/24*m**4 - 1/9*m**3 - 9 - 1/12*m**2 + 0*m. Factor v(p). -p*(p + 1)**2/6 Factor 2/5*d**3 + 0*d**2 + 0*d + d**4 + 0. d**3*(5*d + 2)/5 Let c = 1/119 - -101/119. Let q = c - 16/35. Factor 2/5 + 0*b - q*b**2. -2*(b - 1)*(b + 1)/5 Let y be 26/(-91) - 38/(-35). Let b(q) be the first derivative of 6/25*q**5 + 2*q**3 - 9/5*q**2 + y*q + 1 - 11/10*q**4. Factor b(f). 2*(f - 1)**3*(3*f - 2)/5 Let l be (-27)/6*(-16)/36. Let g(b) be the first derivative of 2 + 3/4*b**4 + 0*b + 0*b**l + 3/10*b**5 + 1/2*b**3. Determine u, given that g(u) = 0. -1, 0 Let k(s) be the third derivative of -s**8/1344 - s**7/420 + s**6/480 + s**5/120 - 2*s**2. Determine o so that k(o) = 0. -2, -1, 0, 1 Let c(h) = -9*h**2 + h - 15. Let o(r) = 5*r**2 + 8. Let n(t) = 8*t**2 - 1. Let v be n(1). Let q(i) = v*o(i) + 4*c(i). Factor q(g). -(g - 2)**2 Let x(u) be the first derivative of u**6/75 - u**4/15 + u**2/5 + 7*u + 3. Let h(p) be the first derivativ
{ "pile_set_name": "DM Mathematics" }
y**6/20 - 22*y**2. What is c in k(c) = 0? -2/3, 0, 1 Let g(r) be the first derivative of r**7/7 + 2*r**6/15 - 3*r**5/10 - r**4/3 + 6*r + 6. Let b(h) be the first derivative of g(h). Suppose b(d) = 0. Calculate d. -1, -2/3, 0, 1 Let y = -3/26 - -47/182. Let k(v) be the first derivative of -2/7*v**3 + 2 + 4/7*v + y*v**2. Suppose k(q) = 0. What is q? -2/3, 1 Let v(d) be the second derivative of -3/7*d**2 + 0 - 3/28*d**4 - 4*d - 5/14*d**3 + 3/140*d**5 + 1/70*d**6. Solve v(j) = 0. -1, 2 Let p(q) be the third derivative of q**7/280 + q**6/160 - q**5/80 - q**4/32 + 15*q**2. Solve p(c) = 0 for c. -1, 0, 1 Let s be 0*9/135 - (-4)/18. Factor -s + 2/3*v + 2/9*v**3 - 2/3*v**2. 2*(v - 1)**3/9 Let l = 331 + -1653/5. Factor -l*b**4 + 0*b**3 + 1/5*b + 2/5*b**2 - 1/5*b**5 + 0. -b*(b - 1)*(b + 1)**3/5 Factor 10/3*f + 4/3 + 8/3*f**2 + 2/3*f**3. 2*(f + 1)**2*(f + 2)/3 Let n = 9/5 - 7/5. Find g, given that 1/5*g**2 + 1/5 - n*g = 0. 1 Let d(z) be the third derivative of -z**6/24 - z**5/6 + 5*z**4/8 - 4*z**2 - 9. Factor d(u). -5*u*(u - 1)*(u + 3) Let q(b) be the third derivative of b**7/70 + 3*b**6/40 + b**5/20 - 3*b**4/8 - b**3 - 4*b**2 + 3. Factor q(z). 3*(z - 1)*(z + 1)**2*(z + 2) Let b(t) be the third derivative of -t**7/315 + t**5/90 + 5*t**2. Factor b(f). -2*f**2*(f - 1)*(f + 1)/3 Factor 2/9*n**3 - 2/9*n + 0 + 0*n**2. 2*n*(n - 1)*(n + 1)/9 Let i(g) be the first derivative of g**4/12 + g**3/9 - 9. Find x such that i(x) = 0. -1, 0 Suppose -2 = -2*g - l, 3 + 1 = 4*g + 5*l. Let n be ((-2 - g) + 3)/2. Factor -2/3*b**3 + n + 2/3*b**2 + 0*b. -2*b**2*(b - 1)/3 Let v(l) be the first derivative of 2*l**5/5 - l**4 + 2*l**2 + l - 6. Let n(y) be the first derivative of v(y). Find m, given that n(m) = 0. -1/2, 1 Let x(w) = -21*w**5 + 21*w**4 - 36*w**3 + 66*w**2 - 39*w + 9. Let i(k) = -k**5 + k**3. Let l(j) = -18*i(j) + x(j). Factor l(o). -3*(o - 3)*(o - 1)**4 Let i = 19 - 17. Suppose -3*n = -l + 5, 4*n - 5*n = l - 5. Factor -p**3 + 0 + 0*p**4 + n*p**i + 1/2*p**5 + 1/2*p. p*(p - 1)**2*(p + 1)**2/2 Let o(c) be the third derivative of c**6/600 + c**5/300 + 5*c**2. Factor o(p). p**2*(p + 1)/5 Let c(l) be the third derivative of -l**8/3024 - 2*l**7/945 + l**6/540 + l**5/45 - l**4/24 - 37*l**2. Let c(y) = 0. Calculate y. -3, 0, 1 Let y be (-583)/(-77) - 3/(-3). Factor -24/7 - 54/7*m**2 - 3/7*m**4 + 3*m**3 + y*m. -3*(m - 2)**3*(m - 1)/7 Let c(t) be the first derivative of 2*t**5/55 - t**4/22 - 2*t**3/33 + t**2/11 + 14. Let c(j) = 0. What is j? -1, 0, 1 Let y(r) = -15*r - 90. Let p be y(-6). Factor -2/7*d**2 + p*d + 2/7. -2*(d - 1)*(d + 1)/7 Let i(v) be the second derivative of v**4/36 - 2*v**3/9 + 2*v**2/3 + 6*v. Factor i(z). (z - 2)**2/3 Let o(b) = -10*b**3 - 2*b - 4. Let p(y) = -y**3 - y**2 + y - 1. Let l(w) = -o(w) + 8*p(w). Determine g so that l(g) = 0. 1, 2 Let k(x) be the first derivative of 2*x**5/75 + x**4/15 - 2*x**3/15 - 4*x**2/15 + 8*x/15 - 6. What is a in k(a) = 0? -2, 1 What is f in -108/5*f**2 + 0 + 36/5*f**3 + 108/5*f - 4/5*f**4 = 0? 0, 3 Let x = -10 + 13. Suppose 1 = 2*i - x. Determine b so that 0 - 66/5*b**3 - 4*b**i - 16*b**4 - 2/5*b - 32/5*b**5 = 0. -1, -1/4, 0 Let h = -5/8 + 37/40. Let j(c) be the first derivative of h*c**2 + 0*c**3 - 3/20*c**4 + 0*c + 2. Determine a so that j(a) = 0. -1, 0, 1 Let 0*n**3 + 8/3 + 0*n - 10/3*n**2 + 2/3*n**4 = 0. Calculate n. -2, -1, 1, 2 Suppose -2*l = 4*m - l - 16, -3*m = 5*l - 12. Let o(t) be the second derivative of 0*t**2 + 1/54*t**m - 2/27*t**3 + 3*t + 0. Factor o(d). 2*d*(d - 2)/9 Suppose 2*i + 472 = 4*i. Suppose f + f - i = 0. Determine l so that 8*l + f*l**3 + 55*l**4 + 33*l**2 + 23*l**2 + 15*l**4 = 0. -1, -2/5, -2/7, 0 Suppose 2 = 5*p - 4*p. Let d(j) = -6*j - 3. Let a(t) = -t**2 - 7*t - 4. Let x(g) = p*d(g) - 3*a(g). Factor x(k). 3*(k + 1)*(k + 2) Let w = -1 - -2. Determine z so that 18*z**3 - 3*z**2 + 1 - 27*z**4 + 12*z**5 - w = 0. 0, 1/4, 1 Suppose -2/3*b**5 + 0 + 0*b - 2/3*b**2 - 2*b**4 - 2*b**3 = 0. Calculate b. -1, 0 Find j such that -21/4*j**5 + 4*j**2 + 0 + j - 1/4*j**3 - 17/2*j**4 = 0. -1, -2/7, 0, 2/3 Let n be (-272)/51*(-18)/4. Let h = 24 - n. Factor h - 2/3*s + 1/3*s**2. s*(s - 2)/3 Let f(g) = -g**2 - 7*g + 21. Let w be f(-9). Let b(s) be the first derivative of -1/2*s**4 + 0*s**w + 0*s + s**2 + 2. Factor b(y). -2*y*(y - 1)*(y + 1) Suppose 21 = 5*c - 4*k, 0 = 3*c - 2*c + k - 6. Factor -28/5*p**3 - 12/5*p**2 - 6/5*p**c + 2/5 - 22/5*p**4 + 2/5*p. -2*(p + 1)**4*(3*p - 1)/5 Suppose -4/3*p**5 + 4*p + 4*p**4 - 8/3*p**2 - 4/3 - 8/3*p**3 = 0. What is p? -1, 1 Let z(t) be the first derivative of 1 - t + 3/2*t**2 + 1/4*t**4 - t**3. Determine u so that z(u) = 0. 1 Suppose 60 = d + 11*d. Determine c so that 10/9*c**4 + 2*c**3 + 2/9*c**d + 0 + 14/9*c**2 + 4/9*c = 0. -2, -1, 0 Let g be 27/5 - 3/(-5). Factor -g*o**2 - 2*o**2 - 11*o**4 + 10*o**3 - 1 - 2*o**2 + 6*o**4 + 5*o + o**5. (o - 1)**5 Let m(t) be the second derivative of t**5/5 - t**4 + 8*t**2 - 10*t. Let m(a) = 0. What is a? -1, 2 Let q(y) be the third derivative of 0 + 0*y**4 - 2*y**2 - 1/60*y**6 - 1/20*y**5 + 1/6*y**3 + 0*y. Factor q(v). -(v + 1)**2*(2*v - 1) Let p = -13 - -14. Let x(c) be the first derivative of -p - 9/10*c**5 - 37/6*c**3 + 15/4*c**4 + 5*c**2 - 2*c. Factor x(k). -(k - 1)**2*(3*k - 2)**2/2 Determine o, given that 1/2*o**3 + 5/2*o + 1 + 2*o**2 = 0. -2, -1 Let i(b) = -b**3 + 7*b**2 - 12*b + 13. Let k be i(5). Solve -2/3*q**k + 1/3*q**4 + 2/3*q - 1/3*q**2 + 0 = 0. -1, 0, 1, 2 Let l(m) be the second derivative of 4*m**6/15 - m**4/8 - m**3/24 + 15*m. Factor l(x). x*(2*x - 1)*(4*x + 1)**2/4 Let m = -2 + 2. Suppose -3*z - 13 = -5*x, -3*x + 0*x - z + 5 = m. Factor 0*a**x - 1/2 + 1/2*a**4 - a + a**3. (a - 1)*(a + 1)**3/2 Let v(m) be the third derivative of -1/6*m**3 - m**2 + 0*m**5 + 0 + 0*m**4 + 0*m**6 + 1/1260*m**7 + 0*m. Let n(a) be the first derivative of v(a). Factor n(k). 2*k**3/3 What is m in 0 - 2/3*m**2 + m**3 - 1/3*m**4 + 0*m = 0? 0, 1, 2 Let c(q) be the first derivative of -6 + 10*q**2 - 8/3*q**3 - 2/3*q**6 - 8*q + 16/5*q**5 - 4*q**4. What is l in c(l) = 0? -1, 1, 2 Solve 0*n + 0 + 1/6*n**2 - 1/6*n**5 - 1/2*n**3 + 1/2*n**4 = 0. 0, 1 Let d be (1/(-2))/(-4 + (-35)/(-20)). Find m such that 2/9*m**4 - 4/9*m + 0 + 2/3*m**3 - d*m**5 - 2/9*m**2 = 0. -1, 0, 1, 2 Let m(z) = -z**2 - 5*z + 4. Let c be m(-5). Suppose -5*i + a = -92, c*a + a + 46 = 2*i. Factor 4*s - i*s**3 + 15*s - 4 + 0*s + 14*s**4 - s - 10*s**2. 2*(s - 1)**2*(s + 1)*(7*s - 2) Let y(o) be the first derivative of -o**7/420 + 7*o**6/720 - o**5/80 + 7*o**3/3 - 6. Let z(b) be the third derivative of y(b). Suppose z(r) = 0. Calculate r. 0, 3/4, 1 Let k(o) = -18*o**2 - 12*o + 2. Let q(j) = 18*j**2 + 12*j - 1. Let t(c) = 3*k(c) + 4*q(c). Factor t(i). 2*(3*i + 1)**2 Determine n so that -4/3*n**2 + 20/3*n - 8 = 0. 2, 3 Suppose 0 = 3*x + 3*k - 6, 4*x = 3*k + 30 - 8. Suppose -2*o - 4 = -x*o. Solve -1/4*g**o - g - 1 = 0 for g. -2 Let x(k) be the third derivative of 1/100*k**5 + 0 + 4*k**2 + 0*k**3 + 0*k + 0*k**4. Factor x(b). 3*b**2/5 Factor -3/2*s - 3/4 - 3/4*s**2. -3*(s + 1)**2/4 Determine w so that 2*w**4 + 73*w**2 - w**5 - 43*w**3 + 9*w**4 + 16*w - 72*w + 16 + 0*w**4 = 0. 1, 4 Factor 3*v**3 - 2*v**3 - 2*v**3 + 7 - 3 - 3*v**2. -(v - 1)*(v + 2)**2 Let b be (-20)/28*(-12)/30. Determine p, given that 0*p + 0 + 4/7*p**2 + b*p**3 = 0. -2, 0 Suppose -6*m + 20 = -4. Let k(p) be the second derivative of -5/42*p**m - 4/21*p**3 + 0 + 1/7*p**2 - 3*p. Determine l, given that k(l) = 0. -1, 1/5 Determine n, given that -2*n**4 + 10*n**3 + 18*n - 18*n**2 + 5*n - 4 - 10*n + n = 0. 1, 2 Factor -2/11*i**3 + 2/11*i - 4/11*i**2 + 4/11. -2*(i - 1)*(i + 1)*(i + 2)/11 Let d(w) be the first derivative of -1/2*w**2 + 1 + 0*w + 1/330*w**5 + 1/132*w**4 - 2/33*w**3. Let f(p) be the second derivative of d(p). Solve f(c) = 0 for c. -2, 1 Let x(k) = k**3 - 21*k**2 + 21*k - 20. Let c be x(20). Factor 3/4*p + 3/4*p**2 + c. 3*p*(p + 1)/4 Factor p**2 + p**3 - 162 - p**4 - p + 162. -p*(p - 1)**2*(p + 1) Factor 18*a + 4*a**2 - 7*a - 15*a. 4*a*(a - 1) Suppose -2*h - 3*h = -1625. Let x = -967/3 + h. Let -98/3*o**2 - 56/3*o - x = 0. Calculate o. -2/7 Let i(u) be the second derivative of u**7/42 - u**6/15 - 3*u**5/20 + 2*u**4/3 - 2*u**3/3 - 4*u. Factor i(c). c*(c - 2)*(c - 1)**2*(c + 2) Suppose -y + 2*y = 2*o, -3*o + 7 = 2*y. Factor 1/2
{ "pile_set_name": "DM Mathematics" }
rt(3) - (sqrt(3) + sqrt(6)/sqrt(2) + 4)**2). 6*sqrt(3) + 104 Simplify ((sqrt(130) - sqrt(130)*2)/sqrt(10) - (5 + sqrt(26)/sqrt(2)) - sqrt(117)*-3*2)**2. -160*sqrt(13) + 3353 Simplify (sqrt(34)/(sqrt(2) + (sqrt(6) + sqrt(150) + sqrt(6))/sqrt(3) - sqrt(2)) + 2 + sqrt(34)/sqrt(2) + -4 + (-2*sqrt(17))**2)*1. 8*sqrt(17)/7 + 66 Simplify (sqrt(76) + -2 + -3 + -4)**2 - (6*(sqrt(152) + sqrt(152)*1) + sqrt(152))/(sqrt(16)/(sqrt(6)/sqrt(3))). -49*sqrt(19) + 157 Simplify (4*((5*sqrt(28))/sqrt(4) + sqrt(7) + sqrt(7)))**2 + (sqrt(7) + (1*sqrt(1008))**2)*-6. -560 - 6*sqrt(7) Simplify 6*(4*(6*(0 + sqrt(75) + sqrt(75)) - (-2*sqrt(75) + 0)))**2. 1411200 Simplify (2*sqrt(448)*-1*-5*-5)**2. 1120000 Simplify -4*sqrt(416)/(sqrt(48)/sqrt(6))*6. -48*sqrt(13) Simplify (5*sqrt(960))/(sqrt(36)/(2*sqrt(3))) - -2*(-5 + sqrt(80)). -10 + 48*sqrt(5) Simplify (6*(sqrt(567) + 4 - sqrt(567)))**2 + -4*(-3 + sqrt(7))*2. -8*sqrt(7) + 600 Simplify (1*(4*(-3 + 3*sqrt(5)) + 4))**2 + -1. -192*sqrt(5) + 783 Simplify ((sqrt(171) + sqrt(171)*2*-6)/(sqrt(9) - (sqrt(27)*-2)/sqrt(3)) + (3*sqrt(190) - sqrt(190))/sqrt(10) + -1 + -2*sqrt(19))**2. 22*sqrt(19)/3 + 2308/9 Simplify (2 + (-1*-2*sqrt(5200) + sqrt(5200) - (1 + sqrt(3328) + 1)))**2. 25168 Simplify 2*6*(sqrt(50) + (sqrt(100)*2)/sqrt(2))/((sqrt(1000) - sqrt(40))/sqrt(4)). 9*sqrt(5) Simplify ((sqrt(343) + 1)*-5 + 1*(sqrt(343) + 1) - (-2*sqrt(343)*-6 + sqrt(343) + -1))**2. 714*sqrt(7) + 99136 Simplify (-1 + sqrt(180) + 2 + sqrt(180) + 3 + sqrt(180)*2*3)**2. 384*sqrt(5) + 11536 Simplify (5 + 5 + (sqrt(72) + (sqrt(72) - (sqrt(72) + (sqrt(72) - (1*sqrt(72) + sqrt(72)))) - sqrt(72)))*5*-6)**2. -3600*sqrt(2) + 64900 Simplify -2 + sqrt(5) + -2 + (sqrt(15)/(sqrt(3)*2))**2 - sqrt(140)/sqrt(112). -11/4 + sqrt(5)/2 Simplify (sqrt(77)*2*5*5)/(sqrt(704) + sqrt(704)*1 - sqrt(33)/(sqrt(3)*2)). 100*sqrt(7)/31 Simplify -4*sqrt(396)/(sqrt(225)*-2 + sqrt(9) - sqrt(9)) + -4. -4 + 4*sqrt(11)/5 Simplify -4*(2*sqrt(2736) + sqrt(2736) + 3 - (sqrt(2736)*2 + 2))**2. -10948 - 96*sqrt(19) Simplify 6*(((-2*sqrt(272) + sqrt(272))**2 - sqrt(272))*-5 + 2*sqrt(272) + -2). -8172 + 168*sqrt(17) Simplify ((4 + -1 + sqrt(832))**2 + (sqrt(1573) - (sqrt(1573) - (-4*(2 + sqrt(1573)) - sqrt(1573))**2)))*3. 2784*sqrt(13) + 120690 Simplify -1*((0 + sqrt(325) + sqrt(325)*1 + sqrt(325) + sqrt(325) - sqrt(325) - sqrt(325))**2 - (-4*(sqrt(325) + -2))**2). -320*sqrt(13) + 3964 Simplify ((-3*-2*sqrt(1100) - ((sqrt(1100) - 3*-2*sqrt(1100)) + sqrt(1100)))*4*-3)**2. 633600 Simplify (((sqrt(42)/sqrt(2) + sqrt(21))*-3 + sqrt(21))*3)/(2*sqrt(2268)). -5*sqrt(3)/12 Simplify -5 + sqrt(891)*1 + ((-1*sqrt(891))**2 + sqrt(891))*-1 - ((sqrt(891) - (-5 + (2*sqrt(891) - sqrt(891)))) + (sqrt(891)*1 + sqrt(891))*-1)**2. -4485 + 180*sqrt(11) Simplify ((sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88) + (sqrt(88)*-1 - sqrt(88)) + sqrt(88))*2))/sqrt(4))/((2*sqrt(128))/sqrt(4))*-1. 0 Simplify (-4 + sqrt(2448) + 1)*1 - ((sqrt(51)/sqrt(3)*1 - sqrt(51)/sqrt(12))*-6)**2. -156 + 12*sqrt(17) Simplify ((sqrt(440)*-1)/sqrt(10))/(sqrt(1296)/sqrt(9)). -sqrt(11)/6 Simplify (4*((sqrt(130) - (sqrt(130) - (sqrt(130) - (sqrt(130) + 1*sqrt(130) + sqrt(130))))) + sqrt(130)))/(sqrt(90) + sqrt(90)*4). -4*sqrt(13)/15 Simplify (3 + (-3 + -4*sqrt(14)/sqrt(8))*-4)**2. 240*sqrt(7) + 673 Simplify (-1 + -2*(2 + (2*sqrt(192) + sqrt(192) + -4 - (sqrt(192)*2 + 5))))**2. -416*sqrt(3) + 937 Simplify (5 + ((sqrt(162) + -1)*4 - (2 + sqrt(162))*5)*1)**2. 162*sqrt(2) + 243 Simplify (sqrt(35) + (sqrt(35) - (4*sqrt(315))/sqrt(9)))/sqrt(7) - (sqrt(180) + -4 + 4). -8*sqrt(5) Simplify ((sqrt(209)/(-2*sqrt(11) + sqrt(11) - sqrt(11)) + 4)*3 + 2 + -2*(1 + sqrt(475)))**2. -276*sqrt(19) + 10627/4 Simplify (-5 + 2 + sqrt(2299))**2 + (sqrt(114)/(sqrt(18)/sqrt(3)) - (-5 + 0 + sqrt(19)))**2. -66*sqrt(19) + 2333 Simplify -3*3*((sqrt(100)/(sqrt(2) + sqrt(2) + sqrt(18)))/sqrt(10) + 2). -18 - 9*sqrt(5)/5 Simplify 3 + (3*(6*(sqrt(17) + -1 - sqrt(17)) - sqrt(17))*-5*-3)**2. 24300*sqrt(17) + 107328 Simplify 4*(sqrt(300) - (-1 + sqrt(300)) - sqrt(300)) + 5*(sqrt(3) - (sqrt(3) + (sqrt(3) + sqrt(3) + 1 + sqrt(3))*-3 + sqrt(3)))**2. 200*sqrt(3) + 1009 Simplify ((sqrt(5) + sqrt(15)/sqrt(3))*4 + -1*sqrt(5)*2)**2 + 2. 182 Simplify ((-1*sqrt(56) + sqrt(56))/sqrt(8) - (sqrt(175) + 0 + sqrt(175) - sqrt(7)))**2 - sqrt(49)/(sqrt(224)/sqrt(2)). -sqrt(7)/4 + 567 Simplify ((sqrt(390) + sqrt(390) + 4*sqrt(390)*-1)/sqrt(10))/(sqrt(24)/(sqrt(8) + -3*sqrt(16)/sqrt(2))). 4*sqrt(13) Simplify ((sqrt(343) + (-2*sqrt(343) - sqrt(343)))*4 + 2)**2 - (-3 + (sqrt(343) - (-1 + -1 + sqrt(343))**2)). -259*sqrt(7) + 22306 Simplify -4*-6*(3 + sqrt(363) + 4 + sqrt(363) + 3 + sqrt(363) + 2). 288 + 792*sqrt(3) Simplify (sqrt(180) + (sqrt(180) - (0 + sqrt(180)))**2 + sqrt(180))*3 - (-2 + sqrt(180) + sqrt(180) + -3)**2. -745 + 156*sqrt(5) Simplify (-4 + (5*(sqrt(448)*-2 + sqrt(448)) + sqrt(448))*4 + -4 + 5 + -2*sqrt(448))**2. 864*sqrt(7) + 145161 Simplify (-1 + -3 + (sqrt(7) - (sqrt(7) - sqrt(35)/sqrt(5)))*4 + 4 + -4)**2. -32*sqrt(7) + 128 Simplify (4 + (-1 + sqrt(19))**2 - (-5*(sqrt(19) + 0) + sqrt(19))**2)*4. -1120 - 8*sqrt(19) Simplify -3*(5 + 6*(1 + sqrt(425) + -2)). -90*sqrt(17) + 3 Simplify 3*(-2 + sqrt(2592)*-3 + sqrt(2592))**2 + 3. 864*sqrt(2) + 31119 Simplify 6*(0 + -1 + sqrt(175) - (2*sqrt(175)*-1 + sqrt(175)))**2 + 0. -120*sqrt(7) + 4206 Simplify 4 + (((sqrt(864) + (sqrt(864) - -2*sqrt(864)))*-6)/(sqrt(96)/(sqrt(24)/sqrt(3)) - 3*sqrt(12)*-2))**2. 41668/49 Simplify 1*((-3*sqrt(833))**2*1 + sqrt(833) + -3). 7*sqrt(17) + 7494 Simplify (sqrt(95) + sqrt(95) + 4*1*sqrt(95) + 3*(sqrt(95)*-1 - sqrt(95)))/(6*sqrt(405)*1). 0 Simplify -2*(sqrt(19) - -1*(sqrt(931))**2)*-6*3. 36*sqrt(19) + 33516 Simplify (((-3*(sqrt(54) + sqrt(864)) + sqrt(54))/sqrt(3))/(sqrt(150) + sqrt(150) + sqrt(150)*-3*-2))**2. 147/400 Simplify 0 + (-4*sqrt(40)/sqrt(4))/(sqrt(35)/sqrt(112) - sqrt(5)). 16*sqrt(2)/3 Simplify 4*(-3*sqrt(171)*-3*2)**2. 221616 Simplify (sqrt(972)*1)/(sqrt(4)*4*-1). -9*sqrt(3)/4 Simplify (4 + sqrt(65)/(sqrt(5) + sqrt(50)/sqrt(10)) - -2*(sqrt(13) + -3*sqrt(1300)))**2. -460*sqrt(13) + 171989/4 Simplify (5*((sqrt(76)*1 - sqrt(19))*6 + 2*2*-4*sqrt(19)))**2. 47500 Simplify ((sqrt(70) - 3*sqrt(70)*1) + sqrt(70))/(sqrt(640)*-1 - sqrt(10)) + -4. -4 + sqrt(7)/9 Simplify -5*-5*(5*(3*sqrt(21)/sqrt(3) - (-3 + (sqrt(7) - sqrt(7)*1 - sqrt(7)))))**2. 15000*sqrt(7) + 75625 Simplify (-5 + sqrt(6)/sqrt(2)*4)**2 - (sqrt(27) + -3 + 5). -43*sqrt(3) + 71 Simplify ((sqrt(104) - (3*sqrt(104)*5 - sqrt(104))) + sqrt(104) + sqrt(104))/(sqrt(6)/(sqrt(36)/(sqrt(12)*3))). -22*sqrt(13)/3 Simplify (sqrt(4) + sqrt(64)/sqrt(4))/sqrt(2) + -2 + (sqrt(2)*2 + -2 - -5*(sqrt(32) + sqrt(2))). -4 + 30*sqrt(2) Simplify (2*-2*sqrt(121) + sqrt(121) - 6*(sqrt(121) + (sqrt(121)*-1 - sqrt(121))))/(-2*sqrt(11)*-2*-2). -3*sqrt(11)/8 Simplify (0 + (-3 + sqrt(425))*-1 + sqrt(425) + 2*(sqrt(425) + (sqrt(425) - 5*sqrt(425)*-4)))**2. 1320*sqrt(17) + 822809 Simplify ((((sqrt(119) - (sqrt(119) + (sqrt(119) + sqrt(119)*-2 + sqrt(119) - sqrt(119))))*4 + sqrt(119))*2)/(1*2*sqrt(700)))**2. 17/4 Simplify (0 + 2*(sqrt(833)*-2 + sqrt(833)) + -3*-2*sqrt(833))**2. 13328 Simplify ((-6*sqrt(44)*1 + sqrt(44))/sqrt(4) + 5)*-1. -5 + 5*sqrt(11) Simplify (sqrt(539)*-2 + -2 - sqrt(539) - (-3 + 0 + sqrt(539)))**2*-1 + -1. -8626 + 56*sqrt(11) Simplify sqrt(19) + (sqrt(228)*2)/sqrt(12) + sqrt(304)*6 + -4. -4 + 27*sqrt(19) Simplify (-3*6*2*sqrt(12))/((sqrt(4) - -2*sqrt(4)*-2) + -1*sqrt(196)). 18*sqrt(3)/5 Simplify (((sqrt(847) - (sqrt(847) + (sqrt(847) - 2*sqrt(847)) + sqrt(847))) + sqrt(847))*2*5*3)**2 + -1. 762299 Simplify ((sqrt(60)/sqrt(3) - sqrt(20))/sqrt(10) + (0 + sqrt(2))*4 + -4)**2*3. -96*sqrt(2) + 144 Simplify -1 + (sqrt(88)/sqrt(2))**2 + -1*sqrt(1331)*-1. 11*sqrt(11) + 43 Simplify (sqrt(147) + -6*(sqrt(147) + 0 - sqrt(147))**2 + sqrt(147))*5 - ((sqrt(36)/sqrt(3))/sqrt(4) + (sqrt(3) - (sqrt(12)/(sqrt(20)/sqrt(5)))**2)). 3 + 68*sqrt(3) Simplify sqrt(30)/(6*(sqrt(6) - sqrt(216)) + sqrt(6)) + (2 + sqrt(245))**2 + sqrt(125)*2. 1101*sqrt(5)/29 + 249 Simplify 5*sqrt(14)/sqrt(2)*-4 + sqrt(847) + sqrt(847) + (sqrt(847) + sqrt(847) + 3*sqrt(847) + -5 - sqrt(847)). -5 + 46*sqrt(7) Simplify (5 + (3*(4 + sqrt(1584) + 4))**2)*-5. -74185 - 8640*sqrt(11) Simplify -3*-3*((1 + sqrt(24
{ "pile_set_name": "DM Mathematics" }
ermine g*a(o) - 4*q(o). o Let z(w) = -6*w**3 - 2*w**2 + 4*w + 1. Let i(p) = 5*p**3 + 3*p**2 - 5*p - 2. Give 2*i(m) + 3*z(m). -8*m**3 + 2*m - 1 Let c(b) = -b. Let u(x) = -6*x - 1. Suppose 2*d - 2 = 8. Let h(t) = d*c(t) - u(t). Suppose -5*g = -10*g + 5. Let w(f) = f**2 - 4. What is g*w(z) + 2*h(z)? z**2 + 2*z - 2 Let r(n) = -7*n**2 + 5. Let u(h) = -11*h**2 + 8. Calculate 8*r(y) - 5*u(y). -y**2 Let l(w) = 5*w**2 - w. Let f(o) be the first derivative of 2 + 0*o + 2*o**3 - 1/2*o**2. Calculate -3*f(h) + 4*l(h). 2*h**2 - h Suppose -4*g + 7 = -25. Suppose n + g = 4. Let o(h) = -2*h + 3 + 5*h**3 + 4*h - 5*h. Let x(a) = -6*a**3 + 4*a - 4. Determine n*o(p) - 3*x(p). -2*p**3 Let s(t) = -11*t**3 - 5*t - 5. Let j be 7/(-21)*15*1. Let a(c) = 27*c**3 + 12*c + 12. Determine j*a(y) - 12*s(y). -3*y**3 Let n(x) = x**3 + 3. Let l(f) = f**3 + 2. Let u(y) = y + 6. Let z be u(-3). Calculate z*l(h) - 2*n(h). h**3 Let l(o) = -o + 1. Let d(x) = x - 3. Let h(a) = a**3 + 4 + 1 - 2*a - 5 - 2*a**2. Let n be h(3). Determine n*l(g) + d(g). -2*g Let l(b) = -b + 1. Let s(m) = 5*m - 6. Let z(i) = i - 1. Let o(w) = -s(w) + z(w). Suppose -5*q + 4*t + 7 = -7, -4*q + 4 = 4*t. Calculate q*l(d) - o(d). 2*d - 3 Let m(w) = 3*w. Let t be -2 - 1 - (1 + -9). Let b(c) = 7*c. Calculate t*m(d) - 2*b(d). d Let l(r) be the third derivative of 0*r + 1/24*r**4 - 1/30*r**5 + 4*r**2 - 1/3*r**3 + 0. Let n(g) = -2*g**2 + g - 3. Determine 3*l(u) - 2*n(u). -2*u**2 + u Let m(z) = -5*z - 5. Let f(s) = 1. Give -10*f(y) - m(y). 5*y - 5 Let d be (-1)/(2*2/(-4)). Let m(t) = -3*t + 2. Let j be 1 + (-4)/(-1) - 2. Let y(o) = 3*o + o - j*o. Calculate d*m(w) + y(w). -2*w + 2 Let s(k) = -k**3 + 6*k**2 + 10*k - 4. Let i be s(7). Let o(p) = -20*p - 23. Let y(m) = -7*m - 8. Give i*y(d) - 6*o(d). d + 2 Let l(g) = -4*g**2 + 6. Let t(h) = 2*h**2 - h - 3. Let i(z) = -3*l(z) - 5*t(z). Let d(v) = 9*v**2 + 21*v - 13. Determine 6*d(b) - 26*i(b). 2*b**2 - 4*b Let g(d) = 2*d. Let c be g(-1). Let w(f) = -3*f**3 - 2*f**2 + f - 2. Let i(k) = 13*k**3 + 9*k**2 - 4*k + 9. Calculate c*i(v) - 9*w(v). v**3 - v Let q(j) = -7373*j**3 + 292*j + 292. Let h(o) = -76*o**3 + 3*o + 3. What is 292*h(x) - 3*q(x)? -73*x**3 Let d(v) = -v**2 + v + 1. Let x(g) = g**3 - 7*g**2 + 3*g + 9. Let m(c) = -c**3 + 7*c**2 - 4*c - 8. Let j(z) = 3*m(z) + 2*x(z). What is 6*d(f) + j(f)? -f**3 + f**2 Let l(c) = 2*c + 4. Let q(n) = n**2 + 1. What is -l(k) + 4*q(k)? 4*k**2 - 2*k Let s(w) = -w**2 + 1. Let f(b) = -6*b**2 - 4*b + 3. Give f(i) - 5*s(i). -i**2 - 4*i - 2 Let z(o) = -2*o**3 + o + 5. Let r(c) = -1. What is 5*r(s) + z(s)? -2*s**3 + s Let n(j) = 4*j + 1. Let v(r) = -4*r - 2. Calculate -5*n(f) - 4*v(f). -4*f + 3 Suppose 12*f - 13 - 23 = 0. Let j(u) = 0*u - 5*u - 1 - 3. Let d(t) = -14*t - 11. Let n(r) = 9*r**3 + 2*r**2 + r. Let o be n(-1). Give f*d(i) + o*j(i). -2*i - 1 Let b(q) = -3*q**2 - 3*q + 5. Let y(k) = -k**2 - k + 1. Determine b(g) - 2*y(g). -g**2 - g + 3 Let h(v) = v - 1. Let r = 14 + -10. Suppose 3*g - 6*g = -5*l + 2, -5*l = -g - r. Let j(i) = -3*i + 4. Let u be (-4 - -7)*(-4)/(-6). Calculate l*j(x) + u*h(x). -x + 2 Let i(n) = 7*n - 3. Let u(k) = -k - 1. Determine i(y) - 3*u(y). 10*y Let z(j) = -4*j**3 - 8*j**2 - 6*j + 8. Let p be (7 + 5)*1/(-2). Let f(r) = -r**3 - r**2 - r + 1. What is p*f(g) + z(g)? 2*g**3 - 2*g**2 + 2 Let i(z) = 2*z + 19*z**2 + z + 6*z + 2*z - 7. Let t(u) = 56*u**2 + 34*u - 20. Let k(g) = 17*i(g) - 6*t(g). Let a(d) = 3*d**2 + 4*d. Determine 9*a(q) + 2*k(q). q**2 + 2*q + 2 Let a(w) = w**2 + w - 1. Let m(k) = -60*k**3 + 30*k**3 + 3 - 2*k + 31*k**3 - 2*k**2. Give -2*a(p) - m(p). -p**3 - 1 Let u(n) = -15*n**2. Let o(v) = 7*v**2. Let m(x) = -2*x**2 + 11*x - 6. Let i be m(4). Give i*u(h) + 13*o(h). h**2 Let f(c) = 2*c**3 - c**2 - 1. Suppose -p + 4*p = 15. Let i(a) = -2 + 0*a + 0*a + 4*a**3 - a**2. Let j be 2 - (-2)/((-8)/20). Determine j*i(g) + p*f(g). -2*g**3 - 2*g**2 + 1 Let r(m) = -2*m**2 + 2*m. Let f(t) be the second derivative of t**4/6 - t**3/6 - 3*t. What is 5*f(b) + 4*r(b)? 2*b**2 + 3*b Let h(l) = -2*l**2 - l. Let t(n) = -2*n**2 - n. Suppose 9*v = 4*v + 35. Suppose v*u + 35 = -3*w + 2*u, -3*w + 3*u = 3. Calculate w*h(z) + 6*t(z). -2*z**2 - z Let w(h) = -6*h**2 + 3*h - 6. Let v be (-1)/(-2)*(4 + -4). Let p(c) = -3*c + v*c - 5 + 4*c - 5*c**2 + c. Calculate -4*p(q) + 3*w(q). 2*q**2 + q + 2 Let n(t) = t + 2. Let d(v) be the second derivative of -5*v**3/6 - 11*v**2/2 - 6*v. Determine 4*d(u) + 22*n(u). 2*u Let d(u) = -4*u**2 + 7*u. Suppose -5*j = -2*y - 56, 4*y - 44 = -j - 2*j. Let g(c) = 2*c + 2 - 13*c**2 + j*c**2 - 2. Give -4*d(x) + 14*g(x). 2*x**2 Let z(a) = -36*a**3 - 16*a**2 + 30*a. Let g(v) = -7*v**3 - 3*v**2 + 6*v. Give 16*g(o) - 3*z(o). -4*o**3 + 6*o Let d(v) = -3*v**3 + 6*v**2 + 6. Let i be 7/14 + 38/4. Let r(l) = -2 + 8*l**2 + l**3 + 0*l**3 - i*l**2. Calculate 2*d(m) + 7*r(m). m**3 - 2*m**2 - 2 Let a(z) = -6*z**3 - 3*z + 3. Let l(h) = 11*h**3 + 5*h - 5. Let r(c) = -c + 5. Let n be r(0). Determine n*a(f) + 3*l(f). 3*f**3 Let z(q) = -1. Let x(a) = 2*a + 10. Give -x(s) - 5*z(s). -2*s - 5 Let z(v) = 4*v + 4. Suppose 5*r + 0*r - 15 = 0. Let q(k) = -k - 1. Let u(d) = d. Let p be u(1). What is p*z(h) + r*q(h)? h + 1 Let r(d) = -9*d**2 - 15*d + 12. Let k(z) = 5*z**2 + 8*z - 6. Determine 11*k(m) + 6*r(m). m**2 - 2*m + 6 Let q(n) be the first derivative of -17*n**4/4 - 5*n**3/3 + 7*n**2/2 - 7*n + 5. Let x(z) = 8*z**3 + 2*z**2 - 3*z + 3. Calculate -3*q(t) - 7*x(t). -5*t**3 + t**2 Let q = -12 - -8. Let t(z) = 3 - 11*z - 8 + 22*z**2 - 11 - 17*z**2. Let v(g) = g**2 - 2*g - 3. What is q*t(c) + 22*v(c)? 2*c**2 - 2 Let c(t) = 5*t**3 - 6*t**2 - 6*t - 1. Let n(p) = 4*p**3 - 5*p**2 - 5*p - 1. Let j be 4 - 14 - (-1 + 3). Let i be 1/(2 - (-26)/j). Calculate i*n(r) + 5*c(r). r**3 + 1 Let b(g) = -g**2 + 11*g - 9. Let r(y) = -12*y**2 + 144*y - 117. Let s(x) = -27*b(x) + 2*r(x). Let d(p) = -p**2 + 4*p - 4. Give 9*d(j) + 4*s(j). 3*j**2 Let v(u) = 6*u - 11. Let z(f) = -2*f + 4. Calculate -3*v(h) - 8*z(h). -2*h + 1 Let c = 21 - 20. Let n be 91/26 + c/(-2). Let v(r) = -4*r**2 - 3. Let u(m) = -m**2 - 1. Give n*u(q) - v(q). q**2 Let r(b) = 152*b**2 + 76. Let j(u) = -u**2 - 1. What is -76*j(a) - r(a)? -76*a**2 Suppose 5*c = 65 - 5. Let k = c + -7. Let s(j) = 2 + 3 - j - 4*j**2 - 7*j. Let l(i) = -3*i**2 - 7*i + 4. Determine k*s(z) - 6*l(z). -2*z**2 + 2*z + 1 Suppose c + 6 = 2*j, -3*c + c = 8. Suppose -3 + j = -k. Let i(w) be the first derivative of w**2 - 3*w - 2. Let p(s) = -8*s + 13. Calculate k*p(m) + 9*i(m). 2*m - 1 Let g = 24 - 21. Let k(q) = -7*q + 3. Let a(h) = 1. Determine g*a(v) - k(v). 7*v Let m be (-3 - -10)/(1/2). Let r(q) = -4*q - 1 + q + 2*q. Let i(z) = z**2 - 7*z - 7. Determine m*r(s) - 2*i(s). -2*s**2 Let m(v) = -v**3 - 1. Suppose -3*w = -17*w - 56. Let x(y) = 5*y**3 + y + 2. Give w*m(s) - x(s). -s**3 - s + 2 Let o(a) = -1. Let x(l) = -6 - 10*l + 4*l + 5*l. Calculate 6*o(y) - x(y). y Let a(b) be the third derivative of -b**3/6 - 2*b**2. Let z be -2*(-1)/(-4)*2. Let v(g) = 2*g - g + 0*g - 1 + 3. Give z*v(x) - 4*a(x). -x + 2 Let r(u) = -u - 1. Let o(s) = 4*s + 5. Determine -2*o(i) - 11*r(i). 3*i + 1 Let n(b) = 2*b + 4*b + 69 + 6*b**2 + b**3 + 2*b**3 - 64. Let f(w) = 2*w**3 + 5*w**2 + 5*w + 4. Determine 5*f(k) - 4*n(k). -2*k**3 + k**2 + k Let u(g) = g**3 + g**2 + g - 1. Let z(h) = -24*h**3 - 3*h + 5 - 2*h + 7*h**3 + 11*h**3 - 8*h**2. What is 5*u(o) + z(o)? -o**3 - 3*o**2 Let w(i) = -1. Let v be (10/(-15))/(1/(-15)). Let l(y) = 4*y + 29. Let r(u) = -1 + u - 3*u - 13. Let t(a) = -2*l(a) - 5*r(a). Give v*w(g) + t(g). 2*g + 2 Let u(f) = -4*f**2 - f + 7. Let o(k) = -3*k**2 - 2*k + 6. Calculate 5*o(g) - 4*u(g). g**2 - 6*g + 2 Let q = 1 + -3. Let p(r) = -r - 1. Let z(d) = 8*d - 6. Let l(a) = q*p(a) - z(a). Let c = 11 - 14. Let n(w) = -2*w + 3. Give c*l(m) + 8*n(m). 2*m Let y(f) = -3*f + 11. Let q(g) = 2*g - 10. Give 5*q(v) + 4*y(v). -2*v - 6 Let p(j) be the first derivative of j**3/3 + j**2/2 + j + 33. Let l(n) = 4*n**3 - 5*n**2 - 6*n - 5. Determine -l(u) - 5*p(u). -4*u**3 + u Let v(r) = -3*r + 1126 - 1126. Let q(y) be the third derivative of 0*y**3 - 1/24*y**4 - 2*y**2 + 0 + 0*y. Determine 7*q(m) - 2*v(m). -m Let w(n) = -2*n**2 - 8*n + 2. Let j(o) = o**3 + 5*o**2 + 15*o - 5. Give -2*j(s) - 5*w(s). -2*s**3 + 10*s Let c(x) = -6*x**2 - 13*x - 13. Let
{ "pile_set_name": "DM Mathematics" }
= -15*t. Calculate n(k(h)). -15*h Let v(b) = 2*b. Let k(q) = 22*q - 45*q + 27*q. Calculate v(k(i)). 8*i Let h(l) = -61*l. Let r(n) = -48*n**2. Calculate h(r(o)). 2928*o**2 Let m(q) = -7*q**2. Let f(g) be the second derivative of -g**4/6 - 4*g. Determine f(m(s)). -98*s**4 Let d(w) be the first derivative of -w**3/3 - 1. Let q be (8/10)/((-7)/(-35)). Let c(x) = q*x + 2*x - 13*x + 9*x. What is c(d(m))? -2*m**2 Let l(j) = -j. Let u = 2 - 0. Let g(r) = -3 - 13*r**2 + 3 + 8*r**u. Give l(g(d)). 5*d**2 Let a(g) = g**2. Suppose -4*y = y + 3*h - 32, -4*h + 28 = 3*y. Suppose -9 = -3*w - x - 0*x, -2*x = -y*w + 22. Let t(f) = -f + w*f + 0*f. Determine t(a(q)). 3*q**2 Let j(m) = -4*m. Let w(k) = -2*k**2 + 4*k - 441. What is j(w(p))? 8*p**2 - 16*p + 1764 Let b(k) = -8*k. Let r(l) = 30*l. What is r(b(w))? -240*w Let k(z) = -7*z**2 + 4*z - 4. Let t(j) = 135*j**2 - 75*j + 75. Let h(a) = -75*k(a) - 4*t(a). Let i(w) = 3*w**2. Calculate i(h(r)). 675*r**4 Let r(s) = -4*s + 2. Let k(v) = 19*v**2. What is k(r(j))? 304*j**2 - 304*j + 76 Let a(l) = 2*l**2. Let j(p) = -1. Let b(r) = 8*r - 72. Let c(n) = -2*b(n) + 144*j(n). What is a(c(z))? 512*z**2 Let u(l) = -8*l + 4. Let i(c) = 106*c**2. Give i(u(z)). 6784*z**2 - 6784*z + 1696 Let p(b) = -b**2. Let l(j) = 32*j. Calculate l(p(a)). -32*a**2 Let i(p) = -6*p. Let y(t) = 3*t**2 + 2*t - 1. Let x be y(1). Let w(l) = l + 0*l + 4*l. Let d(g) = x*i(g) + 5*w(g). Let r(u) = -4*u. Calculate r(d(k)). -4*k Let g(f) = -308*f**2. Let p(a) = 2*a**2. Calculate p(g(k)). 189728*k**4 Let h(u) be the second derivative of -u**4/6 - 2*u. Let o(c) be the first derivative of -c**3 - 3. Calculate o(h(f)). -12*f**4 Let g(l) = 6*l**2 - 8*l. Let d(j) = 4*j**2 - 5*j. Let u(r) = 8*d(r) - 5*g(r). Let v be (-18)/(-15)*20/8. Let m(s) = 5*s + v*s - 8*s + s**2. Determine u(m(f)). 2*f**4 Let a(m) = -11*m - 13. Let f(h) = -63*h. Give f(a(s)). 693*s + 819 Let y(z) = 21*z. Let m(h) = 19*h**2. Determine m(y(o)). 8379*o**2 Let z(b) = 5307*b**2. Let w(d) = -3*d**2. What is w(z(k))? -84492747*k**4 Let u(n) = -2 - 7*n + 2 + n. Let s(l) = -3*l**2 - 5. Let t(c) = -3*c**2 - 4. Let a(m) = -4*s(m) + 5*t(m). What is u(a(r))? 18*r**2 Let p(u) = -2*u. Let w be (0 - (0 - -1))*-3. Let o(h) = -6*h + w*h + 4 - 4. Give o(p(r)). 6*r Let h(g) = -9*g. Let v(w) = -2*w + 186. Give v(h(j)). 18*j + 186 Let i(u) = u**2. Let w(y) = y**2 - y + 1. Let t(l) = -91*l**2 + 78*l - 78. Let h(a) = -t(a) - 78*w(a). Give h(i(p)). 13*p**4 Let o(m) = -8*m. Let h(s) be the third derivative of s**5/30 + 29*s**2. Give o(h(u)). -16*u**2 Let u(q) = q + 9. Let g(o) = 2*o. Give u(g(h)). 2*h + 9 Let b(c) = -c. Let z(x) = 6*x**2 + 30. What is b(z(f))? -6*f**2 - 30 Let d(u) = -5*u**2 + 3*u**2 + u**2. Let s(y) = 5*y**2 + 6*y. Let f(i) = 14*i**2 + 17*i. Let k(q) = -6*f(q) + 17*s(q). What is d(k(n))? -n**4 Let s(k) = -2*k + 256. Let r(h) = -5*h**2. Determine s(r(p)). 10*p**2 + 256 Let v(r) = -26*r. Let m(a) = -5*a**2. What is v(m(g))? 130*g**2 Let m(t) = 2*t. Let x(p) = -15*p - 3 + 6 + 20*p - 4. What is x(m(l))? 10*l - 1 Let g(p) = 30*p. Let c(q) = 3*q + 5*q - 6*q - q. Calculate c(g(y)). 30*y Let h(b) = b. Let u(n) = 2*n. Let f(k) = -7*h(k) + 4*u(k). Let r(t) be the third derivative of 0 + 0*t**3 + 0*t + 1/24*t**4 + 5*t**2. Give r(f(i)). i Let a(d) = 2*d. Let i(f) = 869*f. Determine a(i(j)). 1738*j Let u(r) = -r. Let o(l) = -8*l**2 - 7*l + 7. Let x(g) = -g**2 - g + 1. Let z(w) = 3*o(w) - 21*x(w). What is u(z(i))? 3*i**2 Let s(l) = l + 1. Let u = -4 - -8. Let h(p) = 4*p**2 + u + 3*p - 4*p + 5*p. Let f(g) = -h(g) + 4*s(g). Let v(z) = -z**2. Give v(f(i)). -16*i**4 Let w(f) = f. Let x(k) be the second derivative of 4*k**3/3 + 3*k + 11. Calculate x(w(o)). 8*o Let z(j) = 14*j**2 - 5. Let x(p) = -7*p**2 + 2. Let t(m) = 5*x(m) + 2*z(m). Let d(o) = -2*o. What is t(d(q))? -28*q**2 Let k(o) = 2*o. Let z(u) be the third derivative of u**5/40 + u**3/6 - u**2. Let d(h) be the first derivative of z(h). What is d(k(f))? 6*f Suppose -5*o + 4 = -w - 14, -3 = w. Let b(n) = -5*n**2 + 3*n**2 + o*n**2. Let a(y) = -y. Calculate a(b(v)). -v**2 Let h(b) be the second derivative of 1/6*b**3 + 0*b**2 + 0 - 3*b. Let x(z) = 2*z. Calculate h(x(u)). 2*u Let d(v) = -v**2. Let n(t) = -717*t. Determine n(d(w)). 717*w**2 Let v(k) = 522*k**2. Let l(s) = s. Calculate l(v(x)). 522*x**2 Let k(j) = -4*j. Let s(t) = -5*t. Let z(n) = 6*k(n) - 5*s(n). Let f(o) be the first derivative of o**2/2 + 2. What is f(z(c))? c Let x(m) = -2*m**2. Let w(t) = 7*t**2. Let f(o) = -4*o**2. Let b(v) = -5*f(v) - 3*w(v). Give b(x(l)). -4*l**4 Let i = 13 + -9. Let d(s) = i*s - 7*s + 0*s. Let j(v) = -2*v. Calculate d(j(b)). 6*b Let w(n) = -4*n**2 - 2*n**2 + 5*n**2 + 7*n**2. Let o(l) = -l. Give o(w(v)). -6*v**2 Let n be (0 - 10)*(-1)/2. Let m(o) = 3*o**2 - n*o**2 - 2*o**2. Let j(g) = g**2. What is m(j(v))? -4*v**4 Let o(z) = -3*z. Let r(l) = l**2 - 12*l. Let f be r(12). Let b = f + 2. Let i(t) = 6*t**2 - t**2 - t**b. What is i(o(y))? 36*y**2 Let j(q) = -5*q. Let r(u) = -9*u. Let l(b) = -11*j(b) + 6*r(b). Let h(f) = f**2 + 5*f**2 - 2*f**2. Calculate h(l(d)). 4*d**2 Let t(o) be the first derivative of o**3/3 + o**2 + 2*o + 3. Let y be t(-2). Let u(z) = 1 - 3 - y*z**2 + 2. Let p(a) = a**2. Determine u(p(x)). -2*x**4 Let q(o) be the third derivative of o**4/12 - o**2. Suppose y = 3 - 1. Let b(i) = 4 - 4*i**y - 4 + 5*i**2. Calculate q(b(x)). 2*x**2 Let x(h) = -477*h. Let f(s) = s**2 - 2. Determine x(f(r)). -477*r**2 + 954 Let a(u) = -3 + 68*u**2 - 67*u**2 + 3. Let t(w) be the second derivative of -w**4/6 + w. What is a(t(d))? 4*d**4 Let r be ((-12)/(-12))/(2/126). Let u(q) = 4*q - 63 + r. Let n(h) = -h**2. Determine n(u(f)). -16*f**2 Let l(y) = 6*y. Let b(f) = -2*f + 4852. Give l(b(g)). -12*g + 29112 Let b(x) = -16*x - 2. Let w(h) = -3*h**2. Determine w(b(z)). -768*z**2 - 192*z - 12 Let v(f) be the third derivative of -f**8/6720 + f**5/30 + f**2. Let t(r) be the third derivative of v(r). Let p(w) = -5 - 2*w**2 + 5. Give t(p(a)). -12*a**4 Suppose -4*o = -4*g + 960, -3*g + 5*o + 256 = -2*g. Let z(n) = g*n - 6*n**2 - 236*n. Let c(r) = -r**2. Calculate z(c(m)). -6*m**4 Let q(c) = 63*c**2. Let p(x) = 13*x**2. Give p(q(w)). 51597*w**4 Let b(t) = 5*t**2 - 4*t**2 + t**2. Suppose 2*d - 12 = -2*o, -5*o + 2*d + 22 = 3*d. Let m(a) = 2*a + a - o*a. Calculate b(m(l)). 2*l**2 Let p(u) = 2*u. Suppose 5*v = 5 + 5. Let z(n) = -13 + v*n + 13. Determine z(p(c)). 4*c Let z(u) = -4*u**2 + 0*u**2 - 5*u**2 - 3*u**2. Let q(l) be the first derivative of l**2 - 2. What is q(z(o))? -24*o**2 Let p(x) = -3*x. Let u(d) = -6*d + 7. Let j(g) = 2*g - 2. Let z(l) = -7*j(l) - 2*u(l). Calculate p(z(v)). 6*v Let x(i) = -5*i**2 - 3*i**2 - 11*i**2 + 2*i**2. Let w(k) = -4*k. Calculate x(w(a)). -272*a**2 Let s(l) = -5*l**2 - 36*l. Let o(y) = 3*y. What is o(s(u))? -15*u**2 - 108*u Let k(v) = 410*v. Let u(p) = p. Calculate k(u(h)). 410*h Let z(o) = 7*o. Let w(r) = -5*r**2 - 6*r. Determine w(z(f)). -245*f**2 - 42*f Let z(p) = 201*p + 4. Let n(m) = -2*m. Determine z(n(o)). -402*o + 4 Let y(o) = 1188*o**2. Let i(d) = -3*d**2. Determine i(y(b)). -4234032*b**4 Let z(c) be the first derivative of -c**2/2 + 2. Let f(t) = 13*t**2. Calculate f(z(l)). 13*l**2 Let h(g) = 6*g + 5. Let n(s) = s + 1. Let c(y) = -h(y) + 5*n(y). Let p(q) be the first derivative of q**2 - 2. What is p(c(r))? -2*r Let l(a) = -a. Let t(h) = h**2 + 7*h + 5. Let v be t(-7). Suppose -4*s + j = -15, v*s + 3*j - 50 = -2*j. Let x(g) = s*g - 4*g - 3*g. Calculate x(l(y)). 2*y Let n(q) = -4*q**2 + 4*q. Let f(d) = d. Determine n(f(g)). -4*g**2 + 4*g Let b = 2 - 2. Let c(t) = b*t + 5*t - 4*t. Let o(x) = -5*x**2 - 6. Let n(i) = i**2 + 1. Let f(m) = -6*n(m) - o(m). What is f(c(p))? -p**2 Let c(w) = -5*w. Let q(x) = -x**2 + 12*x + 13. Let z be q(13). Let y(h) be the third derivative of 0 + 0*h**3 - 1/12*h**4 - 2*h**2 + z*h. Determine y(c(u)). 10*u Let n(p) be the first derivative of -p**5/15 + p**2 + 5. Let v(d) be the second derivative of n(d). Let o(f) = f + 0 + 0. Determine o(v(i)). -4*i**2 Let v(z) = 5*z - 4. Let a(r) = 11*r - 9. Let m = 15 + -11. Let y(x) = m*a(x) - 9*v(x). Let c(l) = 5 - 5 - l. What is y(c(o))? o Let p(r) = 2*r. Let y be (-3)/(((-27)/12)/3). Let i(j) = y*j**2 + j**2 - 4*j**2. Calculate i(p(k)). 4*k**2 Let s(a) = -2*a**2. Let p(x) be the first
{ "pile_set_name": "DM Mathematics" }
-7*d(t) + 3*f(t). Let a(u) = u. Give -4*a(n) - c(n). n**2 Let l(q) = 8*q**2 + 1. Let r(n) = n + 6. Let a be r(0). Let b(g) = 17*g**2 + 2. What is a*b(p) - 13*l(p)? -2*p**2 - 1 Let d(p) = -2*p**3 - 4*p**2 + 5*p - 3. Let k(r) = -3*r**3 - 7*r**2 + 9*r - 5. Give 5*d(n) - 3*k(n). -n**3 + n**2 - 2*n Let a(x) = 2*x**2 - 5*x + 1. Let s(v) = -5*v - 9 - v**2 - v + 10 + 3*v**2. Determine -6*a(b) + 5*s(b). -2*b**2 - 1 Let s(q) = -q**3 + q**2 + 1. Let l be 0 + 1 + (1 - 0). Suppose -l = -7*f + 5*f. Let i(u) = 2*u**3 - 4*u**2 + u - 6. Calculate f*i(k) + 4*s(k). -2*k**3 + k - 2 Let m(s) = s**3 - s**2 + s. Let w(h) = -9*h**3 + 2*h**2 - 2*h. What is 6*m(d) + 3*w(d)? -21*d**3 Suppose 0 = 5*l - 15 - 10. Suppose l*n = 9*n - 12. Let x(d) = d**2 - 2*d. Let p(g) = -g + 5*g - 2*g**2 + 0*g. Calculate n*p(y) + 7*x(y). y**2 - 2*y Let r(q) = -q**3 + 0*q**3 + 0*q - 3*q + 3*q**2. Let n(f) be the third derivative of -f**6/60 + f**5/15 - f**4/6 - 2*f**2. Give 3*n(z) - 4*r(z). -2*z**3 Let w(s) = 6*s + 7. Let c(i) = -9*i - 10. Calculate 5*c(v) + 7*w(v). -3*v - 1 Let i be (-2)/(-3)*18/(-4). Let j(y) be the second derivative of -5*y**4/12 - 5*y**2/2 + 2*y. Let o(r) = 2*r**2 + 2. Give i*j(f) - 8*o(f). -f**2 - 1 Let q(n) = 11*n - 17. Let d(c) = -4*c + 6. Let b = 13 + -19. Give b*q(t) - 17*d(t). 2*t Let a(w) = 2*w**3 + 1. Let i(y) = -2*y**3. Let c(f) = 14*f + 10. Let d be c(-1). Calculate d*a(r) - 5*i(r). 2*r**3 - 4 Let p(w) = -w - 6. Let f = -5 - -9. Let t be 44/(-6)*(-6)/f. Let y(o) = -4 - 2*o - 6 - 1. What is t*p(h) - 6*y(h)? h Let o(z) = -z**2 - 2*z + 2. Suppose -3*v - 2*f - 2 + 4 = 0, v - f - 9 = 0. Let u(i) = 2*i**2 + 3*i - 3. What is v*u(d) + 7*o(d)? d**2 - 2*d + 2 Let o(h) = -49*h**2 + 17*h. Let z(q) = 8*q**2 - 3*q. Give -6*o(i) - 34*z(i). 22*i**2 Let p(i) = 5*i**2 + 4*i + 1. Let d(m) = m**2 + m. Determine -9*d(j) + 2*p(j). j**2 - j + 2 Let l(t) = t**3 + 5*t**2 + 8. Let g(v) = 0*v**2 - 2 + 4 + v**2. Let z be (-18)/(-12) - (-1)/2. What is z*l(d) - 9*g(d)? 2*d**3 + d**2 - 2 Let i(h) = 7*h**3 - 5. Let s(d) be the first derivative of -7*d + 0*d**3 + 5/2*d**4 + 3 + 0*d**2. Calculate -7*i(k) + 5*s(k). k**3 Let q(a) = -3*a. Let p be q(3). Let z be (15/p)/(-5)*-3. Let s(d) = -d**3 - d**2 - d. Let c(u) = -2*u**2 - 2*u + 1. Determine z*c(b) + 2*s(b). -2*b**3 - 1 Let d(s) = -s**2 - 7*s - 3. Let h(t) = t**2. Let c(x) = -d(x) - 5*h(x). Let w(v) = -5*v**2 + 8*v + 4. Give 6*c(m) - 5*w(m). m**2 + 2*m - 2 Let l(i) = 10*i - 1. Let m(c) = 20*c - 2. Calculate 7*l(f) - 4*m(f). -10*f + 1 Let g(f) = -13*f**2 + 9*f - 29. Let i(a) = 19*a**2 - 13*a + 44. What is -7*g(v) - 5*i(v)? -4*v**2 + 2*v - 17 Let k(f) = 3*f**3 + 17*f**2 - 11*f - 20. Let h(n) = n**3 + 6*n**2 - 4*n - 7. Suppose -26 = 3*r + 3*y - 5*y, 0 = 5*r + 2*y + 22. Determine r*k(t) + 17*h(t). -t**3 - 2*t + 1 Let c(r) = r**3 + 5*r**2 - 2*r - 11. Let n be c(-5). Let d(l) = 3*l + 1. Let w be (-6)/((3/(-2))/(-1)). Let y(a) = -a. What is n*d(k) + w*y(k)? k - 1 Let w(f) = 60*f**2. Let l(y) = 120*y**2. Calculate -4*l(o) + 7*w(o). -60*o**2 Let n(i) = 4*i**3 - 3*i**2 + 3*i - 3. Let t(y) = 3*y + 2*y**2 + 4*y - y - 8*y - 3*y**3 + 2. Calculate -2*n(f) - 3*t(f). f**3 Let q(x) = -x**3 + 6*x**2 + 4*x. Let l(a) = a**2 + 14*a - 22. Let j be l(-15). Let o(c) = c**3 - 7*c**2 - 5*c. What is j*q(f) - 6*o(f)? f**3 + 2*f Let c(x) = 11*x**2 + 3*x - 2. Let u(o) = -10*o**2 - 2*o + 2. What is -2*c(y) - 3*u(y)? 8*y**2 - 2 Let f(s) = 25*s - 1. Let o(k) = 5*k. Suppose 0 = 3*b + 6, -2*d - 6 - 8 = 5*b. What is d*f(i) + 11*o(i)? 5*i + 2 Let a(g) = 49*g**2 + 49*g. Let h(m) = -3*m**2 - 3*m. Let y(v) = -4*a(v) - 63*h(v). Let p(x) = 3*x**2 + 3*x. Calculate 5*p(r) + 2*y(r). r**2 + r Let w(g) = 4*g**2 - 7*g + 7. Let v(x) = -3*x**2 + 5*x - 5. Determine -7*v(c) - 5*w(c). c**2 Suppose s - 8 = 4*o + 4*s, s = -4. Let f(z) = 11 - 2*z - 3*z - 8 + 3*z. Let x(m) = m**2 - 1. Give o*f(y) + x(y). y**2 - 2*y + 2 Let n(r) = -2*r - 3. Let v(k) = 10*k + 14. Let y(j) = -3*j - 13. Let u be y(-9). Let x(a) = -2 + 1 - a + 3*a. Let w be x(2). Determine u*n(o) + w*v(o). 2*o Let h be 6*(-4)/8 - -6. Let j(i) = 5*i**3 + 3*i**2 - 3. Let q(a) be the third derivative of -11*a**6/120 - 7*a**5/60 + 7*a**3/6 + 3*a**2. Give h*q(t) + 7*j(t). 2*t**3 Let s(y) be the third derivative of y**5/30 - 4*y**3/3 + 2*y**2. Suppose p = 7*p + 30. Let u(f) = -f**2 + 5. What is p*s(d) - 8*u(d)? -2*d**2 Let r = -23 - -24. Let t(m) = -m - 1. Let j(o) = -o**2 + 2*o + 1. Calculate r*t(n) + j(n). -n**2 + n Let t(v) = -17*v**3 - 4*v. Let c(w) = -611*w**3 - 143*w. Calculate -4*c(y) + 143*t(y). 13*y**3 Let x(h) = 3*h**2 + 1. Let w(k) = 13*k**2 + k + 4. Let p = -9 + 18. Calculate p*x(d) - 2*w(d). d**2 - 2*d + 1 Let t(l) = 7*l**2 - 6*l + 1. Let k(s) = -8*s**2 + 5*s - 1. Determine 5*k(n) + 4*t(n). -12*n**2 + n - 1 Let d(o) = 8 + 0*o**2 - 8 - 6*o**2. Let q(k) = 3*k**2. Determine 4*d(m) + 7*q(m). -3*m**2 Let a = 32 - 35. Let x(w) = 2*w**2 - 3*w. Let y(d) = 3*d + 4. Let t(z) = -z**2 + z - 1. Let b = -3 - -4. Let q(u) = b*y(u) + 4*t(u). Give a*q(p) - 7*x(p). -2*p**2 Let c(p) be the second derivative of -4*p**3/3 + p**2 + 13*p. Let i(x) = 4*x - 1. Give 4*c(b) + 9*i(b). 4*b - 1 Let z(o) be the second derivative of -7*o**5/20 + 2*o**2 - 46*o. Let t(c) = 15*c**3 - 9. What is 4*t(f) + 9*z(f)? -3*f**3 Let g(b) = 30*b - 7. Let k(i) = -29*i + 6. What is -5*g(x) - 6*k(x)? 24*x - 1 Suppose 0 = -4*p - 8, -14 = o + o + p. Let i(l) = 5*l. Let x(h) = 4*h. Determine o*x(n) + 5*i(n). n Let m(r) = -r**2. Let v(b) = b**3 - 3*b**2 - 4*b. Determine -3*m(q) + v(q). q**3 - 4*q Let v(m) = 3*m**2 - 10*m. Let z(y) = -2*y**2 + 5*y. Calculate -6*v(r) - 11*z(r). 4*r**2 + 5*r Let b(m) = -m**2 + 5. Let o(u) be the third derivative of -8*u**2 + 0*u + 0 + 2/3*u**3. What is -2*b(l) + 3*o(l)? 2*l**2 + 2 Let s(u) = 7*u**3 + u**2 - u - 2. Let q(a) = -a**3 + a + 1. What is -2*q(z) - s(z)? -5*z**3 - z**2 - z Let j(o) = o**3 + 20*o**2 - 22*o - 20. Let x be j(-21). Let c(z) = 3*z**2 - 1 - 4 + 0 - z**3. Let v(g) = -g**3 + g**2 - 1. What is x*c(i) - 3*v(i)? 2*i**3 - 2 Let t(d) = -3. Suppose -s - 2*w - 12 = 0, -3 = 2*w + 7. Let h(v) = -v + 1. Calculate s*h(b) - t(b). 2*b + 1 Suppose -4*s + 0*s = 4. Let u(y) = -y - 4. Let c(k) = 1. Determine s*u(m) - 3*c(m). m + 1 Let b(a) = -3*a**2 + 2*a - 2. Let t(k) = -9*k + 1. Let h be t(-3). Let y = h - 46. Let n = 11 + y. Let o(u) = 10*u**2 - 7*u + 7. Calculate n*b(r) - 2*o(r). r**2 Let y(j) = 84*j**3 - 21*j**2. Let o(q) = 17*q**3 - 4*q**2. What is -21*o(t) + 4*y(t)? -21*t**3 Let l(q) = 8*q**3 + 11*q**2 - 6*q + 6. Let o(j) = -7*j**3 - 10*j**2 + 5*j - 5. Calculate -5*l(i) - 6*o(i). 2*i**3 + 5*i**2 Let m(k) = -2*k - 8. Let s(c) = -c - 1. What is m(q) - 3*s(q)? q - 5 Let s(h) = h**3 + 9*h**2 - 5. Let l(a) = -4*a**2 + 2. Determine -9*l(i) - 4*s(i). -4*i**3 + 2 Let g(u) = 2*u + 5. Suppose -h = -4*a + 12, 2*a + 12 = 2*h + 6*a. Let j(y) = -y + h*y - 7 - 2*y. Determine -7*g(b) - 5*j(b). b Let k(m) = 96*m - 3. Let y(q) = 48*q - 1. Give -2*k(p) + 5*y(p). 48*p + 1 Let z(m) = 2*m**3 - 4*m**2 + 2*m + 2. Let v(w) = w**3 - 5*w**2 + 3*w + 3. What is -2*v(o) + 3*z(o)? 4*o**3 - 2*o**2 Let b(x) = -2. Let w(q) = 28*q**2 + 36. What is -36*b(d) - 2*w(d)? -56*d**2 Let w(o) = 17*o - 2. Let h(k) = -69*k + 9. What is -2*h(v) - 9*w(v)? -15*v Let b(y) = 3*y**2 + 2*y - 2. Let q(j) = 3*j**2 + 3*j - 3. Calculate -3*b(i) + 2*q(i). -3*i**2 Suppose 5*k - 5 = -0. Let w(z) = z - z - 4*z + k + 2*z. Let f(b) = 1. Suppose -s + c + 0 - 1 = 0, -4*c = -12. What is s*f(x) - w(x)? 2*x + 1 Let i(z) = -z**3 + 5*z**2 - z + 1. Let g be i(4). Let r(n) = g - 13 + n. Let u(a) = a + 1. Let m be u(-2). Let t(f) = 4*f - 1. What is m*t(q) + 6*r(q)? 2*q + 1 Let c(f) be the first derivative of -f**2 - 7*f + 1. Suppose -9*i - 28 = -13*i. Let o(x) = -3*x - 10. What is i*c(q) - 5*o(q)? q + 1 Let l = 0 - -10. Let s = l - 3. Let r(h) = -13*h + 7. Let t(d) be the first derivative of 2*d**2 - 2*d + 2. Give s*t(p) + 2*r(p). 2*p Let g(m) = m**2 - m - 1. Let i(c) = 2*c**2 - 7*c - 1. What is 2*g(h) - 2*i(h)? -2*h**2 + 12*h Suppose 4*d - 6 = 7*d. Let x(h) = -h - 1. Let o(g) = -g**3 + 4*g + 3. Determine d*x(z) - o(z). z**3 - 2*z - 1 Let w(f) = 4*f + 2. Let s(q) = -5*q - 1. Let c(r) be the first derivative of -11*r**2/2 - 2*r + 2. Let z(a) = 2*c(a) - 5*s(a). What is -2*w(k) + 3*z(k)? k - 1 Let s(w) = 8*w**2 -
{ "pile_set_name": "DM Mathematics" }