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n that 408*l**2 - l**3 - 7*l**q + 4*l**3 + 239881 - 5437*l - 8435*l - 82665 = 0. 34 Suppose 2*w - 7*w = 0. Let o be ((-5 - 3) + 13)/(1 + w). Factor -2*z**4 - 3*z**o - 4*z**4 + 81*z + 6*z**3 + 24*z**2 + 6 - 60*z. -3*(z - 2)*(z + 1)**4 Let h(u) be the second derivative of 9*u**5/20 + 35*u**4/4 - 3*u**3/2 - 105*u**2/2 + 3521*u. Suppose h(w) = 0. Calculate w. -35/3, -1, 1 Suppose -416 = 16*v - 24*v. Find a such that 28 + 20 - 62*a**2 + v*a + 66*a**2 = 0. -12, -1 Let a(q) be the second derivative of q**8/1008 - q**7/70 + q**6/24 - 7*q**5/180 + 9*q**2/2 - 39*q. Let c(k) be the first derivative of a(k). Solve c(v) = 0. 0, 1, 7 Let r = 10506 - 40831/4. Let p = r + -298. Determine q so that -p*q**2 - 3/4 - 1/4*q**3 + 5/4*q = 0. -3, 1 Let q(k) be the second derivative of 7/270*k**5 - 32*k + 5/108*k**4 + 0 - 2*k**2 - 2/27*k**3. Let a(u) be the first derivative of q(u). Factor a(y). 2*(y + 1)*(7*y - 2)/9 Let d(u) be the third derivative of u**7/525 - 13*u**6/300 + 19*u**5/50 - 19*u**4/12 + 10*u**3/3 - 2*u**2 - 393*u. Suppose d(a) = 0. Calculate a. 1, 2, 5 Let c(w) be the second derivative of -9*w**5/40 + 49*w**4/8 + 35*w**3/4 - 51*w**2/4 - 332*w + 1. Suppose c(z) = 0. Calculate z. -1, 1/3, 17 Let g(p) be the third derivative of -p**7/350 - 137*p**6/600 - 47*p**5/30 - 83*p**4/30 + 28*p**3/5 + 41*p**2 - 14*p. Determine d, given that g(d) = 0. -42, -2, 1/3 Suppose 33*h - 610*h + 535 = -1773. Let -2/3*c + 0 + c**2 + 2/3*c**3 - c**h = 0. What is c? -1, 0, 2/3, 1 Let j = -20720 - -145056/7. Let i(n) be the second derivative of -j*n**2 - 10/21*n**4 + 27*n + 34/21*n**3 + 0 + 1/35*n**5. Factor i(f). 4*(f - 8)*(f - 1)**2/7 Factor -52/3*c - 50/3 - 2/3*c**2. -2*(c + 1)*(c + 25)/3 Let h(z) = -1585*z**3 + 955*z**2 - 1260*z - 6425. Let p(d) = 173*d**3 - 106*d**2 + 140*d + 714. Let q(k) = -6*h(k) - 55*p(k). Determine w, given that q(w) = 0. -2, 4, 18 Let k(d) be the third derivative of -d**6/1260 - d**5/210 - d**4/84 - 67*d**3/6 - 4*d**2 + 14. Let m(n) be the first derivative of k(n). Factor m(u). -2*(u + 1)**2/7 Let s be (1 + 0)*3/(-3) + 4. Factor -226*i + 20*i**2 + 5*i**s + 226*i. 5*i**2*(i + 4) Let d(w) = -7*w**2 - 23*w + 21. Let m(i) = 5*i**2 + 5*i + 12. Let u(t) = -2*t**2 - 2*t - 5. Let s(x) = 3*m(x) + 7*u(x). Let h(n) = -d(n) - 3*s(n). Factor h(v). 4*(v - 1)*(v + 6) Factor 314*q**2 - 9 + 279*q + 12*q**3 + 11*q**3 - 11 - 14*q**3 + 6*q**3. (q + 1)*(q + 20)*(15*q - 1) Let i be (-8)/14*((-22)/(-156) + (-591)/2561). Let m(g) be the first derivative of 0*g**2 + 0*g + 6/65*g**5 + i*g**3 + 3/26*g**4 + 1/39*g**6 + 6. Factor m(q). 2*q**2*(q + 1)**3/13 Suppose -249/7*n**3 + 3/7*n**4 + 16125/7*n + 4779/7*n**2 + 11094/7 = 0. What is n? -2, -1, 43 Let g(c) be the second derivative of c**7/210 - 16*c**6/75 + 49*c**5/25 + 131*c**4/30 - 197*c**3/30 - 23*c**2 + 3876*c. Find o, given that g(o) = 0. -1, 1, 10, 23 Let l(d) = 5*d**3 - 35 + 7*d + 15*d**2 + 28 - 2*d + 2*d**2. Let m(b) = -2*b**3 - 8*b**2 - 3*b + 3. Let s(u) = -3*l(u) - 7*m(u). Suppose s(h) = 0. What is h? -1, 0, 6 Suppose -6*x - 328 = -364. Suppose 4*l - 3*u - 18 - x = 0, -l = -5*u + 11. Factor -15/2*n + 3/2 - l*n**2. -3*(n + 1)*(6*n - 1)/2 Let k(p) be the third derivative of -p**8/224 - 47*p**7/105 - 81*p**6/40 - 3*p**5 + p**4/48 + 5*p**3 - 8105*p**2. Solve k(j) = 0 for j. -60, -1, 1/3 Let y(s) = -s**3 - 24*s**2 - 28*s - 56. Let z be y(-23). Suppose -29 = -5*x - 14. Factor -9 + 56*k**2 - 109*k**2 + x*k + z*k**2. 3*(k - 1)*(2*k + 3) Factor 111/4*f**2 - 109/2*f - 12 + 5/4*f**3. (f - 2)*(f + 24)*(5*f + 1)/4 Let k(g) be the second derivative of g**4/12 + 13*g**3/2 + 154*g**2 - 1398*g. Find p, given that k(p) = 0. -28, -11 Let t(i) be the first derivative of -i**4/2 - 6*i**3 + 97*i**2 + 210*i + 8471. Factor t(l). -2*(l - 7)*(l + 1)*(l + 15) Let y(r) = r**2 + 8*r - 16. Let v be y(2). Let m(x) = -8 + 2*x + v*x**2 - 3*x + 19. Let w(q) = q**2 + 3. Let p(g) = -6*m(g) + 22*w(g). Factor p(i). -2*i*(i - 3) Let r(k) = 2*k**2 + 15*k - 50. Let q be r(-10). Let w(f) be the first derivative of -1 - 9/2*f**2 + q*f + 9/4*f**4 + 3*f**5 - 5*f**3. Let w(y) = 0. What is y? -1, -3/5, 0, 1 Let p = -160406 - -160408. Factor -3 + 9/2*y**p + 9/2*y - 3*y**3. -3*(y - 2)*(y + 1)*(2*y - 1)/2 Find t, given that -20 + 32/3*t**2 - 26/3*t - 2/3*t**3 = 0. -1, 2, 15 Let x(o) be the second derivative of o**7/231 + 2*o**6/55 - o**5/11 - 10*o**4/11 + 3*o**3/11 + 54*o**2/11 + 427*o. Suppose x(w) = 0. Calculate w. -6, -3, -1, 1, 3 Solve 2065/2*k - 375*k**3 - 35*k**4 - 735 + 110*k**2 + 5/2*k**5 = 0 for k. -7, -2, 1, 21 Let d(w) be the first derivative of 8*w**3 - 39/2*w**2 - 18*w - 32. Factor d(u). 3*(u - 2)*(8*u + 3) Let d(b) be the second derivative of -2 + 5*b - 1/5*b**5 - 2*b**2 + 2/3*b**3 + 1/3*b**4. Find q such that d(q) = 0. -1, 1 Let k be (57/(-342))/(6/(-54)). Determine s so that 27/4*s**2 - 3/4*s**4 - 6 + 3/2*s - k*s**3 = 0. -4, -1, 1, 2 Suppose 978*m + 6070 + 1579*m - 5*m**2 - 5582*m = 0. What is m? -607, 2 Let l(k) be the third derivative of -k**7/630 + k**6/180 - 3*k**4/4 + k**3/6 + 37*k**2 - 1. Let u(i) be the second derivative of l(i). Solve u(j) = 0. 0, 1 Suppose 0 = 665*i - 603*i - 62. Let h(p) be the first derivative of -3/8*p**2 + 3/16*p**4 + 1/2*p**3 - 3/2*p + i. Factor h(x). 3*(x - 1)*(x + 1)*(x + 2)/4 Let f(l) = 29*l**3 + 298*l**2 + 309*l + 6. Let d(k) = -412*k**3 - 4172*k**2 - 4325*k - 86. Let t(x) = -12*d(x) - 172*f(x). Factor t(o). -4*o*(o + 26)*(11*o + 12) Let i(t) be the first derivative of -2*t**3/15 + 1732*t**2/5 - 1499912*t/5 + 1896. Suppose i(w) = 0. What is w? 866 Let l(p) be the second derivative of -p**5/220 - 7*p**4/22 - 155*p**3/66 - 57*p**2/11 - 8047*p. Factor l(x). -(x + 1)*(x + 3)*(x + 38)/11 Let x(t) be the first derivative of -t**3/9 - 68*t**2/3 - 45*t + 689. Factor x(s). -(s + 1)*(s + 135)/3 Let x = 2543 - 987. Let i = -1553 + x. Determine d, given that 1/3 - d - 1/3*d**i + d**2 = 0. 1 What is x in 374/7*x - 2/7*x**3 - 16/7*x**2 + 484 = 0? -11, 14 Let k(i) = -2*i**3 + 305*i**2 - 371*i - 7. Let l(t) = -t**3 + 97*t**2 - 124*t - 2. Let c(u) = -2*k(u) + 7*l(u). Factor c(z). -3*z*(z - 21)*(z - 2) Factor -1/5*k**2 + 1/5*k + 0. -k*(k - 1)/5 Let k be -2*8/4*1/(-2). Suppose 4*x - 81 = -k*l + 7*l, 2*x - 4*l - 48 = 0. Factor -44 + 3*j + 3*j**2 + 24 + x. 3*(j - 1)*(j + 2) Let g = 689 - 687. Find f, given that g*f - 2*f + 699*f**2 + 4*f**4 - 701*f**2 - 2*f**3 = 0. -1/2, 0, 1 Suppose -4*z + 5*b = -121, -5*z - 12*b + 14*b = -147. Factor -2*l**3 + 4*l**2 + 29 - z. -2*l**2*(l - 2) Let o(z) = -2*z**2 + 30*z - 35. Let t(i) = i**2 - 15*i + 17. Let y(b) = -6*o(b) - 13*t(b). Let h be y(14). Factor 349*q - 3*q**3 - 349*q + h*q**5. 3*q**3*(q - 1)*(q + 1) Let m be ((-8)/3 - -2)*3*101. Let h be (-3 - m - 0) + 4. Factor 101*y**2 + 98*y**2 - h*y**2 - 2*y - 2*y**3. -2*y*(y + 1)**2 Let w(q) be the second derivative of -3*q**5/20 - 4*q**4 + 19*q**3/2 + 51*q**2 - 2597*q. Factor w(z). -3*(z - 2)*(z + 1)*(z + 17) Let t(w) = 17*w**3 + 3*w**2 - 102*w + 100. Let c be t(1). Factor -944/9*i**2 - 80*i**3 - c*i**4 - 320/9*i - 32/9. -2*(i + 2)**2*(9*i + 2)**2/9 Let i(x) be the first derivative of 1/6*x**3 - 3/2*x**2 + 2*x - 45 + 3/16*x**4 - 1/20*x**5. What is o in i(o) = 0? -2, 1, 2 Let p(f) = -5*f**2 - 2*f - 4. Suppose -2*w - 24 + 32 = 0. Let c = -8 + w. Let b(y) = 9*y**2 + 4*y + 9. Let d(t) = c*b(t) - 9*p(t). Factor d(i). i*(9*i + 2) Let c = -7623 - -7626. Let r be (8/238)/((-18)/(-63)). Factor 2/17*w**c - r*w - 6/17*w**2 + 6/17. 2*(w - 3)*(w - 1)*(w + 1)/17 Let a = -320 + 352. Let v = a + -127/4. Factor -3/4 + v*c**3 + 7/4*c - 5/4*c**2. (c - 3)*(c - 1)**2/4 Suppose 4*h - 20 + 4 = 0, -3*u + 3*h = -6. Let a = u + -23/4. What is k in 3/4*k**2 - 3/4*k - a*k**3 + 1/4 = 0? 1 Let m be ((-2)/6)/((-1)/108*4). Find a such that -30*a + 6*a**4 - 5*a**3 - a**4 - 45*a**2 - m*a - 16*a - 20 = 0. -1, 4 Let m(s) be the second derivative of -127*s + 0*s**4 + 0*s**3 + 0*s**2 + 0 + 1/25*s**5 - 1/150*s**6. Solve m(h) = 0. 0, 4 Let u(a) be the second derivative of -62*a - 11/2*a**3 + 9/20*a**5 + 9/2*a**2 - 1 + 5/4*a**4. Suppose u(t) = 0. Calculate t. -3, 1/3, 1 Let o = 7723/285804 - -6/7939. Let s(j) be the third derivative of o*j**4 + 31*j**2 - 1/360*j**5 + 0 + 5/36*j**3 + 0*j. Factor s(g). -(g - 5)*(g + 1)/6 Let b be (-7)/(-4)*(-11)/((-3619)/141). Factor 183/4*a**2 + b*a**4 - 63
{ "pile_set_name": "DM Mathematics" }
**2 - 3*r**2 - 2*r**l + 3 + 6*r**2. Let i(t) = -t**2 - 2. Give -3*i(c) - 2*y(c). c**2 Let w be 2/8 + 6/8. Let i(r) = 6. Let j(v) = -5. Let l(g) = 4*i(g) + 5*j(g). Let t(n) = 2*n - 3. What is w*t(p) - 2*l(p)? 2*p - 1 Let g(t) = 7*t - 5. Let u(o) = -24*o + 18. Calculate 18*g(c) + 5*u(c). 6*c Let w(r) = -11*r**3 - 7*r**2 - r - 5. Let x(q) = -17*q**3 - 11*q**2 - 2*q - 8. Let b be (10/8)/((-2)/(-8)). Calculate b*x(v) - 8*w(v). 3*v**3 + v**2 - 2*v Let a(u) = 17*u - 5. Suppose 4*v - 45 = -v. Let c(j) = j. Let x(f) = 2*f - 1. Let z(b) = -2*c(b) - x(b). Determine v*z(t) + 2*a(t). -2*t - 1 Let g(j) = 4*j**3 - j**2 + 10*j + 7. Let t(h) = 3*h**3 - h**2 + 7*h + 5. Suppose -9*i - 7 = -10*i. Suppose 2*v - 3 - i = 0. What is v*g(z) - 7*t(z)? -z**3 + 2*z**2 + z Let l(o) = 7*o - 8. Let d(x) = 6*x - 7. Suppose 2*i + i - 15 = 4*n, 4*n - 4*i = -12. What is n*d(w) + 5*l(w)? -w + 2 Suppose 215 = 2*r + 73. Let g = -49 + r. Let m(t) = t**3 - 22*t**2. Let k(a) = 2*a**2. Let w be 1/((-3)/(-18)) + 16/(-4). Give g*k(x) + w*m(x). 2*x**3 Let l(r) = r + 9. Let g be l(-6). Let h(u) = -5*u**3 + 3*u**2 + 3*u. Let b(f) = -9*f**3 + 5*f**2 + 5*f. Calculate g*b(t) - 5*h(t). -2*t**3 Let w(q) = 7*q + 4. Let p(v) = -20*v - 13. Give 4*p(s) + 11*w(s). -3*s - 8 Let u = 126 + -123. Let y(h) = -2*h**3 - 2*h**2 - 2*h + 4. Let i(c) = c**3 + 2*c**2 + 2*c - 3. What is u*y(r) + 4*i(r)? -2*r**3 + 2*r**2 + 2*r Let l(k) = -11*k**3 - 7*k**2 - 4*k + 4. Let o(w) = -10*w**3 - 6*w**2 - 3*w + 3. Give -3*l(x) + 4*o(x). -7*x**3 - 3*x**2 Let c(a) = a**2 + a + 1. Let f(x) = 18*x**2 + 6*x + 6. Determine -6*c(m) + f(m). 12*m**2 Let w(n) = 4*n**2 - 35*n. Let k(v) = -2*v**2 + 17*v. Calculate -5*k(y) - 2*w(y). 2*y**2 - 15*y Let f(v) = -3*v**2 - 2. Let w(a) = -5*a**2 - 3. What is 7*f(i) - 5*w(i)? 4*i**2 + 1 Let b = 0 - 12. Let y be (-2 - -5)*40/b. Let c(t) = 16*t - 10. Let a(i) = -i + 3 - i - 3*i. What is y*a(l) - 3*c(l)? 2*l Let o(n) = -2*n**3 - n**2 + n + 5. Let y(b) = -2 - 4 + 2*b**3 + 2*b**2 - b - b**2. Let t be 2/9 - (1 - 94/(-18)). Give t*o(s) - 5*y(s). 2*s**3 + s**2 - s Let o(b) = 1. Let d(p) = -7*p + 7. What is -d(f) + 5*o(f)? 7*f - 2 Let i(j) be the second derivative of j**3/2 + j. Let o(m) = 2*m. Let a be 6 - (6 - (5 - 1)). Determine a*i(u) - 5*o(u). 2*u Let b(g) = -7*g**2. Let a(q) = 20*q**2. Let c be (42/35)/(2/(-20)). Let j be (-8)/c*(7 + -1). Let x = j + 2. Calculate x*a(n) + 17*b(n). n**2 Let v(l) = 3*l + 1. Let y(g) = 7*g + 1. Determine -5*v(i) + 2*y(i). -i - 3 Let i(t) = 19*t - 39. Let b(k) = -13*k + 26. Determine -7*b(c) - 5*i(c). -4*c + 13 Let o(w) = -17*w**3 - 6*w + 5. Let d(k) = -16*k**3 - 5*k + 4. Give -5*d(u) + 4*o(u). 12*u**3 + u Let c(l) = -l**3 + l. Let a(y) = 2*y**3 + 11*y. What is 4*a(n) - 44*c(n)? 52*n**3 Let u(a) = 57*a. Let z(q) = 3*q. What is -6*u(i) + 117*z(i)? 9*i Let r(t) = -6*t**3 + 4*t - 2. Let a(o) be the third derivative of -o**6/24 + o**4/8 - o**3/6 + 14*o**2. Give 4*a(h) - 3*r(h). -2*h**3 + 2 Let l(v) = 12*v**2 - 5*v - 5. Let o(x) = 6*x**2 - 2*x - 2. Determine -6*l(s) + 15*o(s). 18*s**2 Let i(h) = -4*h**2 - 8*h**2 + 26*h**2 + 6*h + 6 - 9*h**2. Suppose -j + 5 + 1 = 0. Let s(a) = a**2 + a + 1. Give j*s(v) - i(v). v**2 Let g(w) = -21*w**3 + 5*w**2 + 5*w - 5. Let c(q) = -22*q**3 + 6*q**2 + 6*q - 6. Calculate 5*c(l) - 6*g(l). 16*l**3 Let t(o) = -7*o + 4. Let b(g) = -132*g + 77. Calculate -4*b(x) + 77*t(x). -11*x Let q(s) = -11*s**2 - 8*s. Let u(w) = -w**2 - 13*w. Let f(p) = -p**2 - 6*p. Let h(x) = -7*f(x) + 3*u(x). What is 8*h(l) + 3*q(l)? -l**2 Suppose 0 = -5*d - v + 27, 5*d = 4*d + 3*v + 15. Let p(q) = -7*q + 4. Let i(w) = -w + 1. Let x = 27 + -28. Determine d*i(o) + x*p(o). o + 2 Let b(t) = -3*t + 2*t**2 + 4*t - 3*t**2. Let g(i) be the second derivative of -i**5/20 + i**4/12 - i**3/6 + i**2/2 - i. Let v = 9 - 10. Determine v*b(l) - g(l). l**3 - 1 Let c(l) = -2*l - 4. Let k(u) = 3*u + 1. Let i(x) = -2*x - 1. Let w(b) = -7*i(b) - 4*k(b). Let s be 2/3 - 42/9. What is s*w(v) - 3*c(v)? -2*v Let k(n) = -5*n + 5. Let i = -119 + 117. Let j(t) = t - 1. What is i*k(z) - 11*j(z)? -z + 1 Let g(d) be the third derivative of 2/3*d**3 + 0*d**4 + 1/20*d**5 + 8*d**2 + 0 + 0*d. Let r(w) = -3*w**2 - 5. Determine -4*g(c) - 3*r(c). -3*c**2 - 1 Suppose -8 = -5*i + 7. Let h = 4 - i. Let a(b) = -4*b**2 + 2*b + 2. Let k(u) = -u**2 + u. Calculate h*a(c) - 3*k(c). -c**2 - c + 2 Let i(q) = -19*q**3 - 3*q**2 - 3. Let f(x) = 96*x**3 + 16*x**2 + 16. Calculate -3*f(u) - 16*i(u). 16*u**3 Let j(d) be the first derivative of d**4/4 + 3*d**2/2 + 3*d + 1. Let a(b) = b + 1. Let s be (-2)/9 - 736/(-72). Let o = s - 13. What is o*a(y) + j(y)? y**3 Let h(d) = d**3 - 5*d + 6. Let g(f) = 2*f**3 - 11*f + 13. Suppose -3*i - 2*i = 30. Calculate i*g(q) + 13*h(q). q**3 + q Let w(f) = 7*f**3 + 2*f - 2. Let r(j) = 3*j**3 + j - 1. Let z(d) = -d**3 - 13*d**2 + 29*d - 17. Let n be z(-15). Calculate n*w(p) + 5*r(p). p**3 + p - 1 Let s(a) = -12*a - 13. Let q(j) = 6*j + 12. Let x(b) = -12*b - 23. Let t(d) = 11*q(d) + 6*x(d). Determine 6*s(n) - 13*t(n). 6*n Let c(g) = -65*g + 25. Let b(m) = 16*m - 6. Calculate 25*b(q) + 6*c(q). 10*q Let h(r) be the third derivative of -5*r**4/24 + 13*r**3/3 + 10*r**2. Let p(x) = -x + 5. Determine -2*h(q) + 11*p(q). -q + 3 Let z(p) = p - 1. Let d(n) = -2*n**3 - 2*n + 2. Determine d(v) + 4*z(v). -2*v**3 + 2*v - 2 Let n(l) = -6*l**3 - 8*l**2 - l. Let f(m) = -2*m**3 - 3*m**2. What is -11*f(w) + 4*n(w)? -2*w**3 + w**2 - 4*w Let c(h) be the third derivative of -11*h**6/120 - 5*h**4/24 - 5*h**3/6 - 5*h**2. Let g(o) = -27*o**3 - 12*o - 12. Calculate -12*c(k) + 5*g(k). -3*k**3 Let r(f) = 5 + 3 - 3*f - 11 + 5*f. Let q(j) = -6*j + 10. Determine -6*q(u) - 20*r(u). -4*u Let f(i) = -i**2 - i + 2. Let j(k) = 3*k**2 - 7*k - 1. Let p(z) = 2*z**2 - 6*z. Let x(l) = -4*j(l) + 5*p(l). Determine 5*f(o) - 3*x(o). o**2 + o - 2 Let p(t) = 5*t - 3. Let r(q) = -q. Suppose 3*f + 11 = -7. Calculate f*r(b) - p(b). b + 3 Let w(a) = a + 4. Let d(h) = h + 3. Suppose -6*b = -2*b + 12. Calculate b*w(l) + 4*d(l). l Let z(x) = -x + 1. Let d(l) = 7*l - 9. Give d(i) + 5*z(i). 2*i - 4 Let j(r) = -5*r**2 - 3*r + 1. Let s(h) = h. Calculate -2*j(k) - 6*s(k). 10*k**2 - 2 Let l(k) = k + 1. Let r(i) = 3*i + 27. Calculate -2*l(s) + r(s). s + 25 Let t(y) = 2*y**2 - 3. Let h(s) = -4*s**2 + s + 6. What is -2*h(r) - 5*t(r)? -2*r**2 - 2*r + 3 Let o(t) = t**3 - t**2 - t + 1. Let f(y) = -5*y**3 + 4*y**2 + 4*y - 4. Suppose 700 = -4*a - 308. Let u be a/20 - (-3)/5. Give u*o(v) - 3*f(v). 3*v**3 Let l = 46 + -46. Let x(v) be the third derivative of 0*v + 0*v**4 - 3*v**2 + l - 1/6*v**3 - 1/60*v**5. Let g(k) = 2*k**2 + 2. Calculate -3*g(z) - 4*x(z). -2*z**2 - 2 Let u(x) = x. Let i(g) be the second derivative of g**4/4 - 2*g**3/3 - 3*g. What is -i(n) - 4*u(n)? -3*n**2 Let o(g) = 1 + 5*g**3 + 4*g + 10*g + 10. Let p(f) = f**2 + 6*f. Let h be p(-4). Let m(y) = -2*y**3 + 0*y + 3 + 4 + 5*y**3 + 9*y. Determine h*m(v) + 5*o(v). v**3 - 2*v - 1 Let o(w) = 5*w**3 - 13*w**2 + 6*w + 13. Let a(z) = -2*z**3 + 6*z**2 - 3*z - 6. Determine -13*a(y) - 6*o(y). -4*y**3 + 3*y Let n(i) = -5*i**2 - 4. Let f be 1/(2/2 - 0). Let p(a) = -f + 0 - 4 - 6*a**2. Determine 5*n(s) - 4*p(s). -s**2 Let t(p) = -p**2 + 15*p - 9*p - 2 - p**3 - 10*p. Let g(f) = f**3 + f**2 + f + 1. Determine 2*g(n) + t(n). n**3 + n**2 - 2*n Let s(q) = 6*q**3 - 4*q**2 - 5*q - 2. Suppose -5*j + 5*d - 6 = 4, -3*j - 4*d = 20. Let f(n) = -5*n**3 + 3*n**2 + 4*n + 1. Give j*f(h) - 3*s(h). 2*h**3 - h + 2 Let n(k) = -k**2 - 9. Let d(r) = -r**2 - 9. Calculate -7*d(s) + 6*n(s). s**2 + 9 Let p(x) = -4*x - 3. Let l be p(-2). Let h(k) = -l*k - 3*k**2 + 4*k + 3*k + 1. Let m(q) = 16*q**2 - 10*q - 5. Let w = 140 - 129. What is w*h(n) + 2*m(n)? -n**2 + 2*n + 1 Suppose 5*w - 4*z = 7, -9 = 3*w + z + z. Let a be (0 + w)/(4 + -3). Let t(k) = 9*k - 1 + k**2 - 9*k. Let r(x) = -x**3 + x**2 - 1. Determine a*r(u) + t(u). u**3 Let r(s) be the first derivative of 9/2*s**2 - 3*s**3 - 5*s - 5. Let l(c) = -5*c**2 + 5*c - 3. What is -7*l(i) + 4*r(i)? -i**2 + i + 1 Let q(y) = -y**2 - y**2 - 5*y**3 + 3*y + 5*y**2 - 2 - 3. Let t(o) = 6*o**3 - 4*o**2 - 4*o + 6. Give 4*q(w) + 3*t(w). -2*w**3 - 2 Let m(c) = -c**2 - c - 2. Let a(y) be the first derivative of y**3/3 + 3*y**2/2 + 4*y - 6. Determine 2*a(d) + 5*m(d). -3*d**2 + d - 2 Let u(f) = 4*f -
{ "pile_set_name": "DM Mathematics" }
What is the value of 27/(-78)*-14*36/(-189)? -12/13 Calculate (1428/(-840))/(391/(-1012)). 22/5 What is (((-1)/1)/(-4))/((7090444/992)/(-211))? -2/271 What is the value of ((-2)/4)/(3810/205740)? -27 450/(-105)*(-67)/(7035/882) 36 (-784)/4368*30/35 -2/13 (-10)/(-1914)*4/(12/(-144)*40) -2/319 What is the value of (5/(-60))/(2/(-32)*28)? 1/21 Evaluate ((48/204)/((-24)/(-4)))/((-605)/21780). -24/17 What is the value of (418/(-660))/((-38)/(-228))? -19/5 What is the value of 7/(672/704)*3*(-2)/(-4)? 11 What is ((688/(-6880))/((-2)/(-6)))/(1*95/20)? -6/95 13/(-3)*(-893400)/(-193570) -20 What is (((48/(-10))/4)/((-2)/10))/(84/(-1302))? -93 (30/1725*-2)/(((-420)/(-100))/21) -4/23 What is ((-1914)/(-2175))/((-148)/3700)? -22 Calculate (218/56898*1160)/(14/9). 20/7 Evaluate ((-2306)/(-19601))/(((-24)/3009)/(-2)). 59/2 What is the value of 27/6*(-5764)/(-1179)? 22 Evaluate (-30)/(-1)*56/800. 21/10 96/4840*(-770)/924 -2/121 What is the value of 52/(-104)*11/((-242)/(-21))*8? -42/11 (26/(-5)*7)/(((-6)/24)/((-260)/(-416))) 91 What is (-16548)/14972*(-38)/6? 7 Calculate (272/(-8))/3060*(99/(-44))/(-1). -1/40 (-14)/(-41)*56/1372*-28*(-3)/12 4/41 Evaluate (((-49445)/110)/(-29))/(3/6). 31 What is the value of (-30550)/(-2585)*2/(6/33)? 130 What is the value of (-9)/((-540)/330)*1624/(-231)*-3? 116 What is the value of (((-300)/(-35))/5)/(-36*(-31)/27342)? 42 Calculate ((-56)/2)/(-9*16*(-19)/(-4104)). 42 Calculate 2*15/(-300)*10*(-8)/(352/20). 5/11 What is the value of (20/13)/((-464)/3016)*((-24)/130)/(-3)? -8/13 (-11)/((-7*6/(-42))/(11/(-55))) 11/5 What is 54*-64*27/(-3888)? 24 What is ((-35)/(-10))/((13*8/208)/6)? 42 (-19)/((79287/(-6206))/39) 58 Evaluate (-133*(-19)/11913)/(((-3)/18*-1)/1). 14/11 Evaluate 92/(-966)*((-3)/4)/(63/(-336)*-8). 1/21 What is the value of 6*(9/(-75))/((-2367)/14465)? 22/5 Calculate ((-12)/14*3)/(3249*140/223440). -24/19 (-1)/((-1)/7)*41560/(-7273) -40 6/((-252)/49)*(-120)/1120 1/8 Evaluate 7936/(-1984)*41/((-1)/(-1)*4). -41 Evaluate (2/(-14))/((-482)/3374). 1 Calculate ((-11)/(-660)*312)/((-5)/(-25)). 26 What is (-9877)/(-17)*13*16/1456? 83 Evaluate ((-250)/(-135))/(-25)*(-10)/(-15)*9. -4/9 What is the value of (-6)/8*2*(114/(-190))/((-6)/(-360))? 54 What is the value of (6*14/10)/((1224/(-630))/(-34)*7)? 21 Calculate (-58887)/2181*8/(-18). 12 What is (3/144*-15)/(113820/(-4336))? 1/84 Evaluate 24*19*(-2)/76. -12 What is the value of ((-8*(-9)/126)/((-10)/(-10)))/((-2506)/(-49))? 2/179 What is the value of (1/(3/248)*38418/102448)/((-1)/(-3))? 93 Calculate 25707/(-902)*(-4)/(-24). -19/4 What is (132/((-9064440)/(-1050)))/((-5)/6)? -2/109 What is (-19)/(38/(-48))*-13*12/(-351)? 32/3 What is (-6091)/24364*2/(-168)*-2*-8? 1/21 What is the value of 14/(-21)*1/6*11/(2035/(-15))? 1/111 What is ((-269)/(429324/(-3648)))/(((-6)/(-14))/1)? 16/3 What is (210/(-20))/((-91)/13)*(-6)/39? -3/13 ((-2)/(14/(-3)))/((-8)/(((-249704)/(-147))/(-14))) 13/2 (-8)/(-2)*(-10092)/(-5220)*(-165)/11 -116 What is the value of 132/(-12)*(-2)/9*4*(-144)/(-128)? 11 What is the value of (6/((-72)/(-12)))/((-154)/132)? -6/7 Calculate (-5096)/(-147)*7/(140/30). 52 (4254/(-80826))/((-30)/(-19)) -1/30 What is ((-208)/96*-6)/((10/(-14))/(-5))? 91 ((-8)/(-9))/(205/(701100/304)) 10 What is (6/(-42)*-12*1)/(10/(6860/21))? 56 Evaluate (2*1)/((32/(2048/(-104)))/(1/(-32))). 1/26 (-6864)/101673*1*3/(-8) 2/79 (-639)/252405*-4*(-10)/4 -2/79 Evaluate (27/4)/((-2480787)/(-8964)). 1/41 Evaluate (2/10)/(80/(-200))*(-2730)/(-21). -65 (-68)/(-10)*(-22065)/(-4413) 34 What is the value of (28251/219*(-1)/5)/(9/(-15))? 43 Calculate 5/(-105)*(-18)/(-14)*2464/1056. -1/7 (19/(931/(-196)))/(5*2/10) -4 What is the value of (696/464)/((-1)/26)? -39 (10*(-148)/185)/((-156)/63) 42/13 Evaluate (218/2507)/((-42)/(-21)). 1/23 (-25)/3*161808/(-67420) 20 What is the value of (-91)/(3913/(-43))*-2? -2 Calculate (-59)/(885/360)*(-25)/(-15). -40 What is ((-1312)/(-41))/96*11*(-63)/(-7)? 33 What is the value of 2100/(-126)*(1*(-12)/8)/(10/(-20))? -50 5/7*4*135/1980*33 45/7 (-19*30/(-570))/((-1)/(-5)*(-9)/(-162)) 90 Calculate 27*(370/(-888))/((-245)/(-28)). -9/7 What is the value of ((-6)/(-5))/(19/((-61180)/(-276)))? 14 ((-45)/23085*-57)/(2/(-10)) -5/9 Calculate -50*((-107)/23540*-55)/((3/3)/(-4)). 50 Evaluate 247/((-116584)/531)*4/39. -3/26 Evaluate -3*(-79)/(-1422)*414. -69 Evaluate (-2175)/58*15*368/2070. -100 What is (21/(-5040)*-40)/(1/6)? 1 What is the value of (-12)/3*27/18*12/630*5? -4/7 What is (-64)/6*-57*(-73)/2774? -16 What is the value of (-9*385/(-252))/(8/(-1152)*-30)? 66 Evaluate (-2664)/2997*(-6)/(-8)*-126. 84 Calculate (-7)/(-2)*(462/385)/(35/(-50)). -6 What is the value of (-12908)/(-16135)*((-105)/(-2))/(-1)? -42 57/((-5985)/980)*(-36)/7 48 Calculate ((-33495)/(-4872))/((-5)/2). -11/4 Calculate -8*((-18)/432*-8)/(-10)*9/4. 3/5 What is (5944/(-3715)*10/(-6))/16? 1/6 Evaluate (16/(192/4))/((-17)/3570). -70 What is the value of ((81/2304)/((-17)/(-340)))/((-3)/4)? -15/16 What is ((-4)/8)/((-28)/84*(-6)/52)? -13 Calculate (-3657)/(-6095)*525/5. 63 Calculate ((-26556)/(-564315))/((-4)/10). -2/17 What is ((-495)/(-770)*(-4)/(-57))/(1041/17003)? 14/19 What is 255186/2410090*2*10/(-4)? -9/17 Evaluate (2/((-64)/24)*(-6)/9)/(-7). -1/14 (38/(-494)*429/(-7392))/(4/42) 3/64 Calculate (-301)/(-387)*81/18*6/(-14). -3/2 Calculate (-121)/(((-26180)/56)/(-85)). -22 (-10)/2600*5*(-84)/(-14) -3/26 ((-423)/((-1222)/(-26)))/((-3)/18) 54 Evaluate ((-188)/(-2585))/((-259)/46620*(-16)/(-6)). -54/11 What is the value of (-60*(-16)/6900)/(2/(-10)*2)? -8/23 What is (-2350)/101050*(-2)/(-3)? -2/129 What is the value of (55/(-935)*-51)/((-4)/1*12/(-416))? 26 What is (2/4*(-3)/(-34)*(-3744)/(-1404))/(-5)? -2/85 What is ((-270)/(-5775))/6*735/(-441)? -1/77 ((-767)/(-5))/((-30303)/(-11655)) 59 Calculate (2/(-12))/((-1673)/421596). 42 What is the value of ((-8)/50)/(4070/16650*(-84)/(-22))? -6/35 350/(-20)*(-536)/(-469) -20 Calculate (-20)/2*((-3735)/(-830))/((27/(-5))/(-3)). -25 What is the value of (2*(-1)/10*1)/(43296/(-6560))? 1/33 Evaluate (12*2*(-147)/1764)/(249/((-18)/(-6))). -2/83 What is ((-13230)/105840)/(-1*2/80)? 5 What is the value of ((-16)/5)/(45208/(-1186710))? 84 What is (37/1554)/((-180)/(-720))? 2/21 What is the value of 105/1071*(33/(-11))/((-50)/(-5))? -1/34 5/(130/(-1833))*-2*(-3)/(-9) 47 What is the value of (((-36)/(-15))/(-4))/1*2080/(-32)? 39 What is ((2/228)/1)/((-1695)/10170)? -1/19 ((-27)/36)/(((-1848)/(-144))/(2/(-9))) 1/77 (((-1548)/108)/43)/(8/24) -1 What is the value of 1/(((-2)/(-4))/(6/18*9))? 6 What is the value of ((-1020)/95625)/((4/5)/(-3*(-3)/(-15)))? 1/125 Calculate ((432/(-45))/6)/((-72)/(-180)). -4 Evaluate 3/2*(-1484)/(-4823). 6/13 ((-1)/16)/((210/(-252))/((-150)/(-18))) 5/8 What is the value of 6*1946/(-2224)*(-30)/(-14)? -45/4 What is (49/(705894/(-84))*14)/(-1*6/(-14))? -4/21 Calculate ((-13)/((-390)/(-20)))/(18/((-28350)/(-25))). -42 Calculate (-6)/(-2)*(-12)/(-144)*76. 19 Calculate (1*(-4)/(-1))/(-45*(-208)/(-126360)). -54 What is ((-104)/(-13))/((-10)/12*-4)*(-870)/(-261)? 8 Calculate ((-79)/((-166848)/(-128)))/(-2*1). 1/33 What is (14*(-2)/68)/((-25634)/(-65916))? -18/17 What is the value of ((-2628)/(-511)*10/(-75)*7)/((-3)/(-10))? -16 Calculate 376/(-176250)*(-225)/18. 2/75 Evaluate ((-177905)/(-34))/115*-1*(-2)/1. 91 Evaluate (-347)/((-249840)/5440)*((-18)/(-1))/(-2). -68 What is the value of (2/5)/(1995912/65655)? 1/76 Calculate (3930/(-4585)*((-21)/(-4))/(-3))/(6/(-80)). -20 What is the value of (10/25)/((-4263)/(-2842))? 4/15 What is the value of 132/110*(-3)/(-1)*(-100)/15? -24 What is the value of (((-18)/(-30))/(-3))/((-3888)/(-17280))? -8/9 Evaluate (8/184)/(1605/(-4688205)). -127 Evaluate ((-15)/(-10))/((-18)/8)*(-600)/(-110). -40/11 Calculate (-308)/10*132/462. -44/5 6*(2/(-6)*212/(-20))/((-406)/(-2030)) 106 Calculate (3/2*12/(-4))/((-18915)/226980). 54 Calculate (1596/114*(-15)/50)/(2/(-5)). 21/2 Evaluate -5*3/(-165)*205535/(-1010). -37/2 What is the value of (7*(-7)/(-42))/((-3640)/(-1950))? 5/8 What is the value of (35/(-10)*(-228)/(-38))/(1/(10/6))? -35 Evaluate 70*(-2)/(-26)*689/106. 35 What is 5/(-25)*-5*(-39)/((-1)/1)? 39 What is 770/66*15*(-21)/175? -21 What is the value of 5*-11*(-69)/((-37260)/(-72))? 22/3 What is (-48)/6*-17*11/10098? 4/
{ "pile_set_name": "DM Mathematics" }
ve l(t(a)). -3*a**2 Let g(r) be the second derivative of -r**5/30 + r**2/2 - r. Let l(o) be the first derivative of g(o). Let p(m) = 2*m**2. What is p(l(i))? 8*i**4 Let k(a) = a**2 + a + 6. Let i be k(0). Let l(n) = -4*n + 8*n - i*n. Let c(b) = 2*b**2. Give c(l(d)). 8*d**2 Let v(p) = 5*p**2. Let u(w) = -w**2. Let d(r) = 6*u(r) + v(r). Let k(x) = -19*x**2 - 2*x. What is d(k(g))? -361*g**4 - 76*g**3 - 4*g**2 Let d(z) be the third derivative of z**4/24 + z**2. Let b = -10 + 13. Let t(w) = -2*w - 3*w + 7*w - b*w. Give d(t(g)). -g Let o(d) = -d**2. Let v(q) = 2*q - 6. Let k be v(7). Let r(m) = -3*m + 0*m + k*m. Calculate o(r(y)). -25*y**2 Let f(y) = -1849*y**2. Let r(q) = -3*q**2. What is f(r(x))? -16641*x**4 Let m(j) = -j**2. Let b(n) = -729*n**2. Give b(m(s)). -729*s**4 Let g(m) = -8*m**2. Let l(t) = 7*t**2. Let p(z) = -3*g(z) - 4*l(z). Let c(b) = b. Calculate c(p(v)). -4*v**2 Let t(c) = 6814*c**2. Let v(p) = 2*p**2. Calculate v(t(k)). 92861192*k**4 Let n(p) = -3*p + 15. Let d(i) = 1. Let f(c) = -15*d(c) + n(c). Let a(j) be the third derivative of j**5/15 - j**2. Determine f(a(s)). -12*s**2 Let o(g) be the first derivative of -3*g**2/2 - 2. Let c(d) = d + 3*d - 4*d + 2*d. Give c(o(m)). -6*m Let n(p) = 6*p. Let u(c) = 3*c - 3*c - 7*c + 4*c. What is u(n(q))? -18*q Let h(i) = i**3 - i**2 - i. Let q be h(2). Let g(c) = 3*c**q - 4*c**2 - c**2 + 3*c**2. Let s(z) = 2 - 2 - 3*z. Give s(g(x)). -3*x**2 Let x(z) = -6*z**2. Let q(c) = 25*c + 24*c - 48*c. What is x(q(y))? -6*y**2 Let r(b) be the third derivative of -5*b**4/24 + b**2 + 19*b. Let s(q) = -2*q. Calculate s(r(f)). 10*f Let d(c) = 9*c - 2. Let o(g) = -360*g + 81. Let a(s) = -81*d(s) - 2*o(s). Let m(y) = -3*y. What is m(a(n))? 27*n Let i(q) be the third derivative of q**4/24 + 5*q**2. Let x(c) be the third derivative of -7*c**4/24 - c**2. Give x(i(w)). -7*w Let n(r) = -267*r**2 + 536*r**2 - 281*r**2. Let o(z) = -z. Calculate o(n(b)). 12*b**2 Let i(t) = -2*t. Suppose -12 = -6*s + 3*s. Let y(r) = -1 + s - 3 - 5*r**2. Give i(y(w)). 10*w**2 Let q(u) = u. Let s(z) = z**2 - 8*z. Let r(m) = 24*q(m) + 3*s(m). Let n(j) = 9*j**2. Calculate n(r(h)). 81*h**4 Let m(q) = 7*q + 3*q - 23*q. Let u(v) = 2 - 2*v**2 - 2. Give m(u(r)). 26*r**2 Let x(c) be the third derivative of -3*c**4/4 - 2*c**3/3 - 9*c**2. Let s(f) = -19*f - 5. Let d(m) = 4*s(m) - 5*x(m). Let a(t) = -t. Determine d(a(w)). -14*w Let g(r) = 6*r + 10. Let y(i) = -i**2. Give y(g(v)). -36*v**2 - 120*v - 100 Let t(v) = -2629*v**2 + v. Let y(g) = -3*g. Calculate y(t(s)). 7887*s**2 - 3*s Let v(n) be the second derivative of n**6/360 - 5*n**4/12 + 4*n. Let k(r) be the third derivative of v(r). Let o(y) = y**2 - 4*y**2 + 2*y**2. What is k(o(g))? -2*g**2 Let p(w) = -68*w. Let d(z) = 2*z**2. Give d(p(r)). 9248*r**2 Let d(q) = 7*q. Let l(v) = -100*v**2 + 3. What is d(l(m))? -700*m**2 + 21 Let i(r) = 4*r**2 - 3*r. Let t(f) = -5*f**2 + 4*f. Let x(p) = 4*i(p) + 3*t(p). Let z(y) = -2*y. Calculate z(x(u)). -2*u**2 Let o be (-20)/24*(-8)/10. Let p(d) be the first derivative of 0*d**2 + 0*d + o*d**3 - 1. Let i(c) = 2*c**2. Calculate i(p(l)). 8*l**4 Let s(t) = 2*t**2. Let a(j) = -301*j**2. Calculate a(s(r)). -1204*r**4 Let u(r) = -4*r + 12*r - 3*r - 7*r. Let z(h) be the first derivative of h**2 - 1. Calculate u(z(x)). -4*x Let n(a) = -1271*a**2. Let v(w) = -2*w**2. What is v(n(o))? -3230882*o**4 Let x(s) = -s - 14. Let q be x(-16). Let p(w) = 9 - 9 + q*w**2. Let c(y) = 7*y**2. Calculate p(c(j)). 98*j**4 Let u(m) = 2*m + 64. Let y(s) = -7*s. Calculate u(y(q)). -14*q + 64 Let f(y) = 5219*y. Let m(r) = -2*r. Determine m(f(a)). -10438*a Let o(r) = 8*r. Let d(a) be the third derivative of 0 + 1/24*a**4 + 2*a**2 + 0*a + 0*a**3. Calculate o(d(v)). 8*v Let w(g) = 369*g + 1. Let z(m) = m. Calculate w(z(o)). 369*o + 1 Let o(z) = -2*z. Let n(k) = 134*k**2. Determine n(o(r)). 536*r**2 Let o(g) = 2*g**2. Suppose 6*s - 3*s = 6. Let r(n) be the third derivative of 0*n**3 + 0*n - 1/30*n**5 + 0*n**4 + 0 + n**s. What is o(r(d))? 8*d**4 Let v(r) = 2*r**2. Let g(u) = -u**2 - 40. Calculate g(v(o)). -4*o**4 - 40 Let v(d) = 33*d - 1. Let t(m) = -2*m. Calculate t(v(g)). -66*g + 2 Let j(i) be the first derivative of 2*i**3 - 1. Suppose -b - 3 = 5*n, 2*b + 0*n - 5 = n. Let a(o) = -b*o**2 + 22 - 13 - 9. Give j(a(c)). 24*c**4 Let c(i) = -i**2. Let f(m) = 75*m**2. Let w(d) = -100*c(d) - f(d). Let s(v) = v**2. Calculate s(w(n)). 625*n**4 Let u(k) = -107*k**2 - 2. Let l(d) = -d. Determine l(u(t)). 107*t**2 + 2 Let a(m) = 4*m. Let c(y) be the first derivative of -y**4/3 + 4*y - 6. Let s(d) be the first derivative of c(d). Give s(a(r)). -64*r**2 Let g(k) = -8*k**2. Let q(r) = r - 2 + 2. Calculate g(q(m)). -8*m**2 Let l(z) = -10*z**2. Let i(v) = -343*v. What is i(l(w))? 3430*w**2 Let b(d) = 2*d**2 - 3*d**2 + d**2 + 2*d**2. Let x(c) = 1 - 1 + 3*c. Determine b(x(n)). 18*n**2 Let k(o) = 2*o**2. Let i(x) = 733*x. Determine k(i(c)). 1074578*c**2 Let m(t) be the third derivative of -13*t**4/24 - 13*t**2. Let l(w) = w**2. Calculate l(m(k)). 169*k**2 Let u(f) = -4*f**2. Suppose 2*q = 5*q. Let n(m) = -m**2 + 0 + q - m**2. Calculate n(u(a)). -32*a**4 Let j(f) = f - 6*f + 3*f. Let c(h) = -4*h + 9. Let s(q) = -2*q - 4 + q + q + 2*q. Let v(r) = -4*c(r) - 9*s(r). Determine j(v(g)). 4*g Let d(y) = -2*y**2. Let x(p) = 172*p. Calculate x(d(o)). -344*o**2 Let y(t) = -143 - 5*t**2 + 143. Let n(p) = 4*p. Give y(n(c)). -80*c**2 Let c(i) = 2*i**2. Let d(k) = 2*k**2 + 25 + 35 - 1. Calculate c(d(n)). 8*n**4 + 472*n**2 + 6962 Let m(d) = 4*d**2 + 3*d - 3. Let u(k) = 5*k**2 + 2*k - 2. Let h(x) = -2*m(x) + 3*u(x). Let i(z) = z. Determine h(i(f)). 7*f**2 Let p be ((-10)/6)/((-2)/6). Let i(y) be the third derivative of 0*y**4 + 0*y + 1/60*y**p + 0 + 3*y**2 + 0*y**3. Let c(u) = -4*u**2. Give c(i(x)). -4*x**4 Let q = 4 + -8. Let o = q + 4. Let g(z) = 5*z + o*z + z - 4*z. Let k(n) = n**2. What is k(g(j))? 4*j**2 Let r(i) = i. Suppose 0 = -u - 0*u. Let c(m) = -6*m**2 + 4*m**2 + u*m**2. Determine r(c(p)). -2*p**2 Let t(w) = -7*w. Let x(r) = -2*r. Let k(y) = -t(y) + 3*x(y). Let z(v) = v**2. Calculate k(z(g)). g**2 Let h(b) be the second derivative of -b**6/360 - b**3/2 + b. Let s(a) be the second derivative of h(a). Let k(w) = -2*w. What is k(s(x))? 2*x**2 Let d(r) = -19*r + r + 37*r. Let p(k) = 5*k. Calculate p(d(c)). 95*c Let r(h) = h. Let b(n) = 3*n - 6 + 6 - 6*n. Calculate r(b(l)). -3*l Let y(n) be the first derivative of -4*n**3/3 - 8. Let i(t) = -t**2. Calculate i(y(c)). -16*c**4 Let r(v) = -v**2. Let p(i) be the third derivative of -i**7/1008 + i**5/15 + 4*i**2. Let u(w) be the third derivative of p(w). Give r(u(c)). -25*c**2 Let f(c) = -c**2 - 5*c + 5. Let q be f(-6). Let n(g) = 3*g - 3. Let s(x) = -x**2 + x - 1. Let a(m) = q*n(m) + 3*s(m). Let u(b) = -3*b**2. Determine u(a(i)). -27*i**4 Let o(p) = 19*p. Let d(j) = 11*j**2 - 8. Let g(m) = -4*m**2 + 3. Let i(l) = -3*d(l) - 8*g(l). Give i(o(v)). -361*v**2 Let i(f) = -19*f**2 + 4*f**2 + 2*f**2. Let u(a) = -a. Determine u(i(n)). 13*n**2 Let q(y) = -y. Let t(u) = -3*u**2 + 3*u - 3. Let h(w) = -9*w**2 + 8*w - 8. Let k(f) = -3*h(f) + 8*t(f). Determine k(q(s)). 3*s**2 Let i(l) = 688*l**2 - 2. Let q(o) = o. Calculate q(i(u)). 688*u**2 - 2 Let p(f) = 89*f. Let m(g) = 27*g**2. What is m(p(u))? 213867*u**2 Let x(v) = 3*v + 2*v - 4*v. Let d(p) = -13*p**2 + 6. Let f(j) = 37*j**2 - 17. Let i(g) = 17*d(g) + 6*f(g). Calculate i(x(n)). n**2 Let i(u) = -3*u - 1. Let k be i(-1). Let z(j) = 5*j**2 - 2*j**k - j**2. Let t(y) = -2*y**2. Determine z(t(c)). 8*c**4 Let p(j) = 2*j**2 + 3*j**2 - 4*j**2. Let n = 1 - 4. Let b(u) = u**2 + 4*u. Let a(y) = -3*y. Let r(t) = n*b(t) - 4*a(t). Determine r(p(x)). -3*x**4 Suppose -3*d = -10 + 1. Suppose -12 = -p - 2*f, -36 = -2*p - d*p - 4*f. Let k(t) = t**2 - 3*t**2 + p*t**2. Let n(a) = -3*a. Determine n(k(g)). -6*g**2 Let h(z) = 35 + z**2 - 35 + 0*z**2. Let x(s) = -7*s. Give x(h(n)). -7*n**2 Let i(d) = -11*d + 2. Let r(b) = -6*b**2. What is r(i(m))? -726*m**2 + 264*m - 24 Let u(d) = 1562*d**2. Let t(r) = -8*r. Calculate u(t(s)). 99968*s**2 Suppose 3*b - 3*d - d + 16 = 0, d = 5*b + 4. Suppose b*o + 2 = o. Let c(k) = -o*k - 14 + 14. Let m(a) = -a. Determine c(m(l)). 2*l Let n(a) = 14*a. Let h(o) = 6*o**2. Calculate n(h(k)). 84*k**2 Let v(k) = 0*k - 2*k + 3*k. Suppos
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 78844? 2, 23, 857 What are the prime factors of 1349? 19, 71 What are the prime factors of 2935? 5, 587 List the prime factors of 1411. 17, 83 List the prime factors of 1592. 2, 199 What are the prime factors of 3396? 2, 3, 283 What are the prime factors of 1948? 2, 487 What are the prime factors of 28422? 2, 3, 1579 List the prime factors of 1023. 3, 11, 31 List the prime factors of 26615. 5, 5323 List the prime factors of 1364. 2, 11, 31 What are the prime factors of 78255? 3, 5, 37, 47 What are the prime factors of 7652? 2, 1913 List the prime factors of 197. 197 List the prime factors of 2253. 3, 751 List the prime factors of 88079. 88079 What are the prime factors of 19419? 3, 6473 What are the prime factors of 14475? 3, 5, 193 List the prime factors of 54133. 54133 List the prime factors of 2876. 2, 719 What are the prime factors of 4237? 19, 223 What are the prime factors of 4542? 2, 3, 757 What are the prime factors of 1052? 2, 263 What are the prime factors of 292? 2, 73 List the prime factors of 2172. 2, 3, 181 What are the prime factors of 117115? 5, 59, 397 What are the prime factors of 2212? 2, 7, 79 List the prime factors of 726. 2, 3, 11 What are the prime factors of 378? 2, 3, 7 What are the prime factors of 36590? 2, 5, 3659 What are the prime factors of 1599? 3, 13, 41 What are the prime factors of 135750? 2, 3, 5, 181 What are the prime factors of 9136? 2, 571 What are the prime factors of 26946? 2, 3, 499 What are the prime factors of 1454? 2, 727 What are the prime factors of 47044? 2, 19, 619 What are the prime factors of 41601? 3, 7, 283 What are the prime factors of 3802? 2, 1901 What are the prime factors of 58474? 2, 13, 173 What are the prime factors of 26361? 3, 29, 101 What are the prime factors of 1667? 1667 List the prime factors of 15992. 2, 1999 List the prime factors of 56816. 2, 53, 67 What are the prime factors of 4244? 2, 1061 List the prime factors of 7017. 3, 2339 What are the prime factors of 35937? 3, 11 List the prime factors of 24512. 2, 383 What are the prime factors of 1075? 5, 43 What are the prime factors of 2499? 3, 7, 17 What are the prime factors of 25714? 2, 13, 23, 43 What are the prime factors of 1744? 2, 109 What are the prime factors of 11617? 11617 List the prime factors of 1205. 5, 241 List the prime factors of 1711. 29, 59 List the prime factors of 124833. 3, 41611 List the prime factors of 5434. 2, 11, 13, 19 List the prime factors of 1849. 43 List the prime factors of 162841. 7, 43, 541 What are the prime factors of 7481? 7481 What are the prime factors of 5456? 2, 11, 31 List the prime factors of 689. 13, 53 List the prime factors of 21708. 2, 3, 67 List the prime factors of 19153. 107, 179 List the prime factors of 798. 2, 3, 7, 19 List the prime factors of 13718. 2, 19 What are the prime factors of 302? 2, 151 What are the prime factors of 7194? 2, 3, 11, 109 What are the prime factors of 95? 5, 19 What are the prime factors of 3421? 11, 311 What are the prime factors of 14103? 3, 1567 List the prime factors of 9144. 2, 3, 127 What are the prime factors of 1728? 2, 3 What are the prime factors of 132? 2, 3, 11 What are the prime factors of 92478? 2, 3, 15413 What are the prime factors of 1883? 7, 269 List the prime factors of 6011. 6011 List the prime factors of 1251. 3, 139 What are the prime factors of 51989? 7, 1061 What are the prime factors of 2184? 2, 3, 7, 13 What are the prime factors of 1504? 2, 47 What are the prime factors of 30229? 19, 37, 43 List the prime factors of 590. 2, 5, 59 List the prime factors of 989. 23, 43 What are the prime factors of 66518? 2, 79, 421 List the prime factors of 75513. 3, 25171 What are the prime factors of 7565? 5, 17, 89 List the prime factors of 4050. 2, 3, 5 List the prime factors of 18161. 11, 13, 127 List the prime factors of 21754. 2, 73, 149 List the prime factors of 24093. 3, 2677 What are the prime factors of 6337? 6337 List the prime factors of 5817. 3, 7, 277 What are the prime factors of 2585? 5, 11, 47 List the prime factors of 196. 2, 7 List the prime factors of 6097. 7, 13, 67 List the prime factors of 9002. 2, 7, 643 List the prime factors of 3019. 3019 List the prime factors of 28517. 28517 List the prime factors of 13402. 2, 6701 What are the prime factors of 3070? 2, 5, 307 What are the prime factors of 2906? 2, 1453 List the prime factors of 19645. 5, 3929 List the prime factors of 11334. 2, 3, 1889 List the prime factors of 106391. 106391 List the prime factors of 50359. 50359 List the prime factors of 7497. 3, 7, 17 List the prime factors of 1858. 2, 929 What are the prime factors of 32? 2 List the prime factors of 816. 2, 3, 17 List the prime factors of 5284. 2, 1321 What are the prime factors of 586? 2, 293 What are the prime factors of 196? 2, 7 What are the prime factors of 1822? 2, 911 List the prime factors of 1419. 3, 11, 43 What are the prime factors of 90711? 3, 10079 What are the prime factors of 3051? 3, 113 List the prime factors of 30901. 13, 2377 List the prime factors of 4902. 2, 3, 19, 43 List the prime factors of 753. 3, 251 List the prime factors of 103020. 2, 3, 5, 17, 101 List the prime factors of 1294. 2, 647 List the prime factors of 168767. 71, 2377 What are the prime factors of 20775? 3, 5, 277 What are the prime factors of 23247? 3, 7, 41 List the prime factors of 1091. 1091 What are the prime factors of 17570? 2, 5, 7, 251 What are the prime factors of 22735? 5, 4547 List the prime factors of 64. 2 List the prime factors of 720. 2, 3, 5 List the prime factors of 12200. 2, 5, 61 What are the prime factors of 1410? 2, 3, 5, 47 What are the prime factors of 2468? 2, 617 List the prime factors of 32716. 2, 8179 List the prime factors of 4014. 2, 3, 223 List the prime factors of 111. 3, 37 List the prime factors of 71. 71 What are the prime factors of 1342? 2, 11, 61 What are the prime factors of 138413? 11, 12583 List the prime factors of 1974. 2, 3, 7, 47 What are the prime factors of 115821? 3, 17, 757 List the prime factors of 167190. 2, 3, 5, 5573 List the prime factors of 10520. 2, 5, 263 List the prime factors of 336. 2, 3, 7 What are the prime factors of 705? 3, 5, 47 List the prime factors of 73508. 2, 17, 23, 47 What are the prime factors of 4122? 2, 3, 229 List the prime factors of 3695. 5, 739 What are the prime factors of 1736? 2, 7, 31 List the prime factors of 1696. 2, 53 List the prime factors of 5465. 5, 1093 List the prime factors of 10806. 2, 3, 1801 List the prime factors of 4902. 2, 3, 19, 43 List the prime factors of 3713. 47, 79 What are the prime factors of 1932? 2, 3, 7, 23 What are the prime factors of 1536? 2, 3 What are the prime factors of 296? 2, 37 List the prime factors of 1451. 1451 What are the prime factors of 81234? 2, 3, 4513 What are the prime factors of 58603? 58603 List the prime factors of 1061. 1061 List the prime factors of 27560. 2, 5, 13, 53 What are the prime factors of 1054? 2, 17, 31 List the prime factors of 127102. 2, 103, 617 What are the prime factors of 3206? 2, 7, 229 What are the prime factors of 689? 13, 53 List the prime factors of 2433. 3, 811 List the prime factors of 33472. 2, 523 List the prime factors of 25767. 3, 7, 409 List the prime factors of 2007. 3, 223 What are the prime factors of 650? 2, 5, 13 What are the prime factors of 155? 5, 31 What are the prime factors of 58765? 5, 7, 23, 73 List the prime factors of 3694. 2, 1847 What are the prime factors of 11055? 3, 5, 11, 67 What are the prime factors of 19775? 5, 7, 113 List the prime factors of 5031. 3, 13, 43 List the prime factors of 2173. 41, 53 List the prime factors of 17431. 17431 List the prime factors of 18195. 3, 5, 1213 List the prime factors of 103818. 2, 3, 11, 13 List the prime factors of 52909. 157, 337 What are the prime factors of 19932? 2, 3, 11, 151 What are the prime factors of 3030? 2, 3, 5, 101 What are the prime factors of 524? 2, 131 What are the prime factors of 1846? 2, 13, 71 What are the prime factors of 826? 2, 7, 59 List the prime factors of 94724. 2, 7, 17, 199 What are the prime factors of 629? 17, 37 What are the prime factors of 22428? 2, 3, 7, 89 What are the prime factors of 9499? 7, 23, 59 List the prime factors
{ "pile_set_name": "DM Mathematics" }
7) + 3 Simplify -4*(sqrt(50)/(sqrt(100)/(sqrt(160) - sqrt(10))))**2. -180 Simplify -2 + 0 + sqrt(343). -2 + 7*sqrt(7) Simplify -3*sqrt(5)*2*2. -12*sqrt(5) Simplify sqrt(117)/(6*sqrt(18)/sqrt(2)). sqrt(13)/6 Simplify 2*(sqrt(11) - (4 + sqrt(33)/sqrt(3)) - -2*2*sqrt(11)). -8 + 8*sqrt(11) Simplify (1*sqrt(243) + sqrt(243))**2 + sqrt(3) + 2. sqrt(3) + 974 Simplify 2*-1*1*sqrt(17). -2*sqrt(17) Simplify (sqrt(51) - sqrt(510)/(sqrt(10) + sqrt(30)/sqrt(3)))/(1*sqrt(300) + sqrt(300)). sqrt(17)/40 Simplify 5*((-1 + sqrt(252) - sqrt(252))*1)**2 + -5. 0 Simplify (((sqrt(12) + sqrt(12)*1)*-1)/(sqrt(16)*2))**2. 3/4 Simplify sqrt(44)/sqrt(4)*4*6. 24*sqrt(11) Simplify ((-1*sqrt(7920) - sqrt(7920)) + sqrt(7920))/((sqrt(405) + sqrt(45))/sqrt(9)). -3*sqrt(11) Simplify (1*sqrt(108))**2*4. 432 Simplify (-1*(1 + sqrt(17)))**2 + ((sqrt(17)*2)**2 + sqrt(17))*6. 8*sqrt(17) + 426 Simplify (((sqrt(539) - (sqrt(539) - 2*sqrt(539)) - sqrt(539)) + -1 - sqrt(539))*-3 + -5)**2. 4 Simplify ((sqrt(88) + (sqrt(88) - sqrt(88)*-2))*-4)/(sqrt(192)/sqrt(6)). -8*sqrt(11) Simplify (-3*(2*sqrt(304) + sqrt(304)) - sqrt(304))**2. 30400 Simplify (-1*(sqrt(76) + -3))**2. -12*sqrt(19) + 85 Simplify (1*(sqrt(833) + 5 + 5 - sqrt(833)))**2. 100 Simplify ((-4*-3*sqrt(228))/((sqrt(96)*3)/sqrt(8)))**2. 304 Simplify 5*(1 + sqrt(612)). 5 + 30*sqrt(17) Simplify (-4*(-4 + -4*sqrt(13) + 3))**2. 128*sqrt(13) + 3344 Simplify ((sqrt(684) + 1)*-5*3)**2. 2700*sqrt(19) + 154125 Simplify (1 + ((sqrt(3) + 0 + sqrt(3))*6 - (-1*sqrt(18))/sqrt(6)))*3. 3 + 39*sqrt(3) Simplify ((sqrt(130)*-1)/sqrt(10) - (sqrt(13) + sqrt(117)*4))**2. 2548 Simplify (sqrt(114) + -2*2*sqrt(114) - sqrt(114))/(sqrt(30)/sqrt(80)). -16*sqrt(19) Simplify (sqrt(20)*-1)/sqrt(4) - (sqrt(605) + 0)**2. -605 - sqrt(5) Simplify (3 + sqrt(468))*-3. -18*sqrt(13) - 9 Simplify (4*3*sqrt(720)*-2*-2)**2. 1658880 Simplify sqrt(13) + 0 + sqrt(208) - (1*sqrt(143))/sqrt(11). 4*sqrt(13) Simplify ((sqrt(1573)*-2*2 - sqrt(1573)) + (sqrt(1573)*1*-5 - sqrt(1573)) + sqrt(1573))**2. 157300 Simplify (sqrt(14)*3 - sqrt(14))/sqrt(7) - (0 + sqrt(242)). -9*sqrt(2) Simplify (0 + 4*(-1 + sqrt(475)) + -3)**2. -280*sqrt(19) + 7649 Simplify (-3*(3*sqrt(119) - sqrt(119)))/(sqrt(700) - ((-1*sqrt(700) - sqrt(700)) + sqrt(700))). -3*sqrt(17)/10 Simplify (sqrt(13) + ((sqrt(143) + sqrt(143)*2 + sqrt(143))/sqrt(11) - sqrt(13)))**2 - (sqrt(13)*-2 + 4). 2*sqrt(13) + 204 Simplify ((sqrt(1728) + -2*sqrt(1728) + sqrt(1728))/sqrt(9)*-6)**2. 0 Simplify 6*-2*sqrt(7) + (sqrt(504)/sqrt(9))/sqrt(8) + sqrt(7). -10*sqrt(7) Simplify -3*(sqrt(3) + 0 - sqrt(3)) - (-1*sqrt(48) - sqrt(48)). 8*sqrt(3) Simplify 2 + sqrt(272)*-1 + 0. -4*sqrt(17) + 2 Simplify -3*(((sqrt(10)*-2)/sqrt(2))**2 + -4). -48 Simplify sqrt(57)/(sqrt(15)/sqrt(5))*1. sqrt(19) Simplify (3*(sqrt(88) - -1*sqrt(88)))/((sqrt(968)*2 - sqrt(968)) + sqrt(968)). 3*sqrt(11)/11 Simplify 2 + sqrt(30)/(sqrt(90)/sqrt(9)). sqrt(3) + 2 Simplify (sqrt(91) + 2*(sqrt(91) + (sqrt(91) + sqrt(91)*2 + sqrt(91) - sqrt(91))))/(sqrt(7) + sqrt(112)*-1). -3*sqrt(13) Simplify (sqrt(11) - (sqrt(539)*-1)**2) + 0 + (1*sqrt(11))**2. -528 + sqrt(11) Simplify (sqrt(119)*2*3 + sqrt(119))/sqrt(7). 7*sqrt(17) Simplify ((sqrt(700) - sqrt(700)*1)*-6*-3)**2. 0 Simplify sqrt(19) + 1 + -2 + 3*(sqrt(19) + sqrt(171)) + 4. 3 + 13*sqrt(19) Simplify (-1*sqrt(91)*-3)/(sqrt(21)/sqrt(3)*3). sqrt(13) Simplify (2 + sqrt(117)*-2)**2 + sqrt(117)*1 + 2. -21*sqrt(13) + 474 Simplify sqrt(15)/(sqrt(5) + (sqrt(45)/sqrt(9) - sqrt(5)) + sqrt(5) + sqrt(5)) + 3. sqrt(3)/3 + 3 Simplify 5*-6*((sqrt(448)*5 + sqrt(448) - sqrt(448))**2 + sqrt(448)). -336000 - 240*sqrt(7) Simplify 4 + sqrt(2) + 0 + sqrt(2) + (sqrt(2) - (sqrt(6)*-2)/sqrt(3)). 4 + 5*sqrt(2) Simplify (-4*(sqrt(13) + -3)*-6)**2. -3456*sqrt(13) + 12672 Simplify (-6*(-3 + sqrt(147)))**2. -1512*sqrt(3) + 5616 Simplify (sqrt(684)*-1*1 + 5)*3. -18*sqrt(19) + 15 Simplify (sqrt(1089)*-2)/sqrt(3). -22*sqrt(3) Simplify 1*4*(5 + -1 + sqrt(704)). 16 + 32*sqrt(11) Simplify ((1 + sqrt(32))**2 - (-4 + 2 + sqrt(2))**2)*4. 48*sqrt(2) + 108 Simplify 2 + sqrt(1216)*-3. -24*sqrt(19) + 2 Simplify ((-5*sqrt(112))**2 - (sqrt(7) + 5 + sqrt(7)*1))*-3. -8385 + 6*sqrt(7) Simplify ((sqrt(390)*-2 - sqrt(390) - sqrt(390))/sqrt(10))/(sqrt(3) + 6*sqrt(12)). -4*sqrt(13)/13 Simplify (2*-5*(2*(sqrt(17) + (sqrt(17) - (0 + sqrt(17))) + sqrt(17)) + sqrt(833)*1 + sqrt(833) + sqrt(17)))**2. 613700 Simplify ((sqrt(209) - (sqrt(209) + 3*sqrt(209)))*-1 + sqrt(209))/sqrt(11). 4*sqrt(19) Simplify (sqrt(198)*1 + sqrt(198))/sqrt(11). 6*sqrt(2) Simplify 3 + sqrt(931) + -1 + sqrt(931) + -3. -1 + 14*sqrt(19) Simplify -4 + (sqrt(13) - sqrt(52)/sqrt(4))**2*-5. -4 Simplify sqrt(91)/(sqrt(112) + 1*sqrt(112) + sqrt(112)). sqrt(13)/12 Simplify (4*1*((1*sqrt(76) - sqrt(76)) + 4))**2. 256 Simplify ((sqrt(300) - (sqrt(300) + -1)) + (sqrt(165)/sqrt(5))/sqrt(11))**2*-6. -24 - 12*sqrt(3) Simplify 2*2*(sqrt(7) + -2 + sqrt(7))*6. -48 + 48*sqrt(7) Simplify -3*(sqrt(171) + -1 + 1). -9*sqrt(19) Simplify (4*sqrt(14)*2)/(sqrt(252) + (3*sqrt(252) - sqrt(252))). 4*sqrt(2)/9 Simplify ((sqrt(64)*1)/sqrt(8))**2. 8 Simplify 6*(sqrt(68) + -2*(sqrt(68) + 0))**2*3. 1224 Simplify (sqrt(180)/sqrt(2) - sqrt(10))/(sqrt(2)*2*-5 - sqrt(2)). -2*sqrt(5)/11 Simplify ((sqrt(132) - 3*(sqrt(132) + -1*sqrt(132) + sqrt(132) + sqrt(132))) + sqrt(132))/(sqrt(972) + sqrt(972)*-1 + sqrt(972)). -4*sqrt(11)/9 Simplify (4*4*((sqrt(8)/sqrt(4) + sqrt(2))*2 - (sqrt(32)/sqrt(2))/sqrt(8)))**2. 4608 Simplify (sqrt(11) - (3 + sqrt(11)*-2))**2*1. -18*sqrt(11) + 108 Simplify (-3 + sqrt(175))**2*-2. -368 + 60*sqrt(7) Simplify (sqrt(612) + 1 + 0 + sqrt(68))*6. 6 + 48*sqrt(17) Simplify (-6*(sqrt(2178) + 1) - sqrt(2178))**2. 2772*sqrt(2) + 106758 Simplify 1*sqrt(612) + 2*sqrt(272). 14*sqrt(17) Simplify (sqrt(272) + 0 - sqrt(17)) + sqrt(102)/(3*sqrt(6)). 10*sqrt(17)/3 Simplify 5*(sqrt(14)/(sqrt(10)/(sqrt(5) + sqrt(20))) + 5). 25 + 15*sqrt(7) Simplify (sqrt(40)/sqrt(2))/sqrt(10)*-4*4. -16*sqrt(2) Simplify sqrt(450)/(sqrt(10) - sqrt(80)/sqrt(8)*-6 - sqrt(10)). sqrt(5)/2 Simplify -5 + (sqrt(5) - sqrt(80))*4*-1. -5 + 12*sqrt(5) Simplify (sqrt(20) + 1 + sqrt(5) + 5)**2. 36*sqrt(5) + 81 Simplify (sqrt(19) + sqrt(19) + sqrt(19) + -2 + -2)**2 + sqrt(19) + sqrt(19) + -1*sqrt(19)*-2. -20*sqrt(19) + 187 Simplify ((sqrt(51) + sqrt(102)/sqrt(2))*-1)/sqrt(3). -2*sqrt(17) Simplify -2*(sqrt(1584)*-2 - sqrt(1584)). 72*sqrt(11) Simplify -5*-3*(sqrt(180) - (sqrt(180) + (sqrt(180)*-2)**2)). -10800 Simplify (6*(sqrt(204)/(-2*sqrt(4)) + sqrt(51) - sqrt(51))/(-2*sqrt(6)/sqrt(2)))**2. 153/4 Simplify sqrt(99)*4 - 1*sqrt(891). 3*sqrt(11) Simplify (-1 + sqrt(832) + 2*(sqrt(13) + -2))**2. -100*sqrt(13) + 1325 Simplify (sqrt(76)/(sqrt(4)*-3)*5*5)**2. 11875/9 Simplify 1*(sqrt(75) + 1) + (sqrt(75)*-3 + 2)**2. -55*sqrt(3) + 680 Simplify 0 + (sqrt(208)/sqrt(4)*-6)**2. 1872 Simplify (sqrt(99) + 0)*3*1. 9*sqrt(11) Simplify (-4*(-3 + sqrt(13) - sqrt(13)) - (sqrt(156)/sqrt(6))/sqrt(2))**2. -24*sqrt(13) + 157 Simplify (3 + sqrt(425))*5. 15 + 25*sqrt(17) Simplify -5 + 4*sqrt(11) + -4. -9 + 4*sqrt(11) Simplify sqrt(57)/(sqrt(9)/sqrt(3)) - (sqrt(19) - (1 + sqrt(684) - sqrt(19))**2). 10*sqrt(19) + 476 Simplify sqrt(209)/((sqrt(99) - sqrt(11))*-1)*4. -2*sqrt(19) Simplify 0 + (sqrt(343) - ((0 + sqrt(343))*6 + sqrt(343) - sqrt(343)))**2. 8575 Simplify -5 + 4 + sqrt(15)/(sqrt(20)*5). -1 + sqrt(3)/10 Simplify (1 + sqrt(2299))**2 + 1. 22*sqrt(19) + 2301 Simplify ((-2 + sqrt(17) - sqrt(17)) + 5 + sqrt(17) + 3*sqrt(17)*-2)**2 + -5. -30*sqrt(17) + 429 Simplify -4 + -6*(sqrt(112) + sqrt(28))**2 + -5. -1521 Simplify sqrt(133)/sqrt(112)*6. 3*sqrt(19)/2 Simplify 2*-5*((sqrt(264)/sqrt(11))/sqrt(8) - sqrt(3)). 0 Simplify (-2*sqrt(208) - sqrt(208)) + sqrt(52) + sqrt(7488)*-2. -58*sqrt(13) Simplify (sqrt(1539) - 6*sqrt(1539) - (sqrt(76) + 3))**2. 282*sqrt(19) + 41980 Simplify sqrt(35)/(sqrt(56)/(sqrt(8)*-1)). -sqrt(5) Simplify (sqrt(33)/sqrt(3) + sqrt(11) + 5)**2 + (sqrt(121)*-2)/sqrt(11). 18*sqrt(11) + 69 Simplify (3*sqrt(15)/sqrt(5))**2 + (sqrt(36) - (sqrt(36) - sqrt(144)) - sqrt(36))/sqrt(12). sqrt(3) + 27 Simplify 5*sqrt(121)/(-5*sqrt(176)). -sqrt(11)/4 Simplify 2 + (sqrt(1872) - (2 + 0 + sqrt(1872))**2). -1874 - 36*sqrt(13) Simplify 3 + sqrt(320)/(sqrt(10)*-6 + sqrt(10)). -4*sqrt(2)/5 + 3 Si
{ "pile_set_name": "DM Mathematics" }
late the greatest common divisor of k and z. 8 Suppose 3*z - 5*d = -0*z + 95, 5*z - 5*d = 165. Calculate the highest common factor of z and 5. 5 Let a(z) = 4*z**2 + z - 1. Let t be a(2). Let v = 3 + 65. Suppose 6*m - 4*m - v = 0. Calculate the highest common factor of m and t. 17 Let q be (-3)/(-2)*28/3. Suppose -5*a + 11 = -q. Let p(j) = -3*j + 1. Let c be p(-3). Calculate the highest common factor of a and c. 5 Let a = -41 - -95. Let d be 26 - (-3)/(-6)*-2. Suppose 2*q = -q + d. What is the highest common factor of q and a? 9 Let u be 90 - ((-5)/(-2) - 1/2). Calculate the highest common factor of 22 and u. 22 Let h be (-9 - -11) + 0 + 2. Suppose -h*c + 0*c = -4. Let z = 19 + -8. What is the greatest common divisor of z and c? 1 Let l = -23 + 44. What is the highest common divisor of l and 3? 3 Let k be ((-4)/6 - -1)/(1/9). What is the greatest common divisor of 24 and k? 3 Suppose 3*u - 119 + 35 = 0. What is the highest common factor of 112 and u? 28 Suppose 4 = -0*h + 2*h. Calculate the greatest common divisor of 2 and h. 2 Suppose -3*a + 21 = -2*n, 3*a - 4*n = 7 + 8. Let i(s) = s**3 - 8*s**2 - 7*s - 10. Let g be i(a). What is the highest common factor of 8 and g? 8 Let w(h) = h**3 + 8*h**2 + 6*h - 4. Let m be w(-6). Suppose 0 = 2*d - 36 - 60. Calculate the highest common factor of m and d. 16 Suppose -4*f - 4*o + 180 = 0, -f + 2*f - 45 = 5*o. What is the greatest common divisor of f and 18? 9 Let k(z) = z + 4. Let m be k(5). Suppose -d - 34 = -61. What is the greatest common factor of d and m? 9 Let d(y) = 25*y - 35. Let p be d(4). Calculate the highest common factor of p and 26. 13 Let m be (-6 + 12)/((-2)/(-4)). What is the highest common divisor of m and 15? 3 Let m(v) = -3*v**2 - 5*v + 6. Let q be m(4). Let i = -42 - q. Suppose -3*k = -0*k - 12. What is the highest common divisor of k and i? 4 Let t(o) = -o**3 - 2*o**2 - 5*o + 4. Let q(a) = -a**3 + 7*a**2 - 2*a + 10. Let p be q(7). Let g be t(p). What is the greatest common factor of 14 and g? 14 Let i be 0/2 + 24/12. Let d be 6 + -7 + 5*i. What is the greatest common divisor of 1 and d? 1 Let l(u) = 9*u + 3*u - 4*u. Let s be l(1). Calculate the highest common divisor of s and 64. 8 Suppose -3*s - 450 = -9*s. Calculate the highest common divisor of s and 15. 15 Suppose -i - 5 = -3. Let n(l) = -3*l**3 - l**2 + l + 2. Let u be n(i). Let j = -36 + 66. What is the highest common divisor of j and u? 10 Let t(u) = u**2 + 48. Let i be t(0). Let l be 4/8*i*2. Calculate the highest common factor of 6 and l. 6 Suppose 3*h + 310 = -2*h + 5*d, -5*h - 292 = d. Let i = h - -104. Calculate the highest common divisor of 30 and i. 15 Let m(g) = -5*g**2 + 41*g + 66. Let a(s) = -s**2 + 8*s + 13. Let c(q) = -11*a(q) + 2*m(q). Let d be c(-7). What is the highest common factor of 8 and d? 8 Let z(w) = 2*w + 6. Let m be z(-3). Suppose 3*n - 648 = -m*n. Calculate the highest common divisor of n and 27. 27 Let i(z) = -z**3 - 7*z**2 - 3*z + 3. Let r be i(-7). What is the greatest common divisor of 240 and r? 24 Let a(z) = 14*z + 9. Let l be a(9). Suppose 0 = 3*b - 17 - 28. What is the greatest common divisor of b and l? 15 Suppose -12 = -f - 4*k, -5*f - 4*k = -5*k - 39. Let v = 9 + -1. What is the greatest common divisor of v and f? 8 Suppose -121 = 3*y + y - f, -141 = 4*y - 5*f. Let g = 43 - y. Calculate the highest common factor of g and 9. 9 Suppose -5*a = -10, -4*o + 4*a + 227 = -213. What is the greatest common divisor of 14 and o? 14 Let c(m) = m - 7. Let y be c(7). Suppose y = 4*i + i - 945. Calculate the highest common factor of i and 21. 21 Let q(r) = r**2 + 2*r - 10. Let o be q(6). Calculate the greatest common divisor of 19 and o. 19 Suppose 0 = 2*k + 3*g - 137, -2*k - 2*g = -4*g - 142. Calculate the highest common divisor of 10 and k. 10 Let h = 16 - 7. What is the highest common factor of 1 and h? 1 Suppose 0 = -4*z + 8*z - 352. Let g = z - 53. What is the highest common divisor of 7 and g? 7 Let z be 1258/8 - (-9)/12. Let t = -70 + z. Calculate the highest common factor of t and 11. 11 Let y be (7 - 2)*(-4)/5. Let b be 1/2 - 442/y. Let o be -4*(-2 - b/12). What is the greatest common divisor of o and 15? 15 Let x = -21 + 40. Let d = -1 + x. What is the highest common factor of 90 and d? 18 Let u(w) = -21*w + 9. Suppose 3*i - 4*x = -0*x - 19, -2*i - 2*x - 22 = 0. Let k be u(i). What is the greatest common factor of k and 18? 18 Suppose 0 = 8*f - 5*f - 3. Calculate the highest common factor of f and 7. 1 Let u be (574/13)/1 + (-16)/104. What is the greatest common factor of 11 and u? 11 Let f(u) = -23*u**3 - u**2 + 1. Let g be f(1). Let v = g + 35. Calculate the highest common factor of v and 132. 12 Suppose 4*p - 7*p + 19 = 4*h, 3*p - 15 = 0. Let s be (18/h)/((-3)/(-2)). Calculate the greatest common factor of s and 108. 12 Let c(g) = 81*g**2 + 2*g + 1. Let d(p) = -2*p**2 + 2*p - 1. Let s be d(1). Let u be c(s). Suppose 2*a = -2*a + u. What is the highest common divisor of a and 5? 5 Let t(h) = 2*h + 7. Let o be t(-5). Let k be -1 - o - 16/(-1). Calculate the greatest common divisor of k and 36. 18 Suppose -2*v = -5*b - 8, 3*b + 0*b = 5*v - 20. Let r be 28/v + 3 + 0. What is the greatest common factor of 25 and r? 5 Suppose 51 + 15 = 6*z. What is the greatest common divisor of 22 and z? 11 Suppose 4*i = -5*g + i + 654, -2*g - 3*i + 258 = 0. Suppose -18 - g = -5*q. Calculate the highest common factor of q and 10. 10 Let m(n) = -n**3 - 7*n**2 + n + 6. Let h be m(-7). Let p be (h + 2 + 0)*65. Let z = 35 + -9. Calculate the greatest common factor of z and p. 13 Let q be 6/((-4)/((-8)/3)). Let h(t) = t**3 - 3*t**2 - 3*t. Let z be h(q). Let s be 6*z/18*3. Calculate the highest common factor of 16 and s. 4 Let j(a) = a**3 + 7*a**2 - 4*a + 6. Let i be j(-9). Let r = i + 204. What is the highest common divisor of 12 and r? 12 Let x(v) = 18*v**2 + v + 2. Let p be x(-2). Calculate the greatest common factor of p and 24. 24 Let m be 32/18 - (-4)/18. Suppose -m*g = g. Suppose g = 2*q - 0*q - 4*o - 34, -4*o = -4*q + 60. What is the highest common factor of q and 26? 13 Let q(u) = -8*u + 6. Let g be q(-13). Suppose 0 = j + 4*j - g. Calculate the highest common divisor of 22 and j. 22 Let j be (-4)/(-8) - 31/(-2). Let w = -3 - -5. Calculate the highest common divisor of w and j. 2 Let l(p) be the second derivative of -7/2*p**2 - 5/6*p**3 + 0 - 4*p - 1/20*p**5 + 2/3*p**4. Let d be l(7). What is the highest common factor of 1 and d? 1 Let z(k) = 2*k**2 + 3*k + 2. Let d be z(-2). Suppose -92 = -d*h - 20. Let p(x) = -x**2 - 5*x + 2. Let n be p(-4). What is the highest common divisor of h and n? 6 Suppose -66 = 12*p - 498. Calculate the highest common divisor of 9 and p. 9 Let m be 2 - (0 - -3 - 2)*-6. Suppose 0 = -3*n + 3*h + 192, -2*h = -n + 31 + 33. What is the greatest common factor of m and n? 8 Let z be (-6 - 3)*2/(-2). Let o = 37 - z. What is the greatest common divisor of 42 and o? 14 Let o(x) = -x**3 + 12*x**2 - 22*x - 19. Let p be o(9). What is the highest common divisor of p and 39? 13 Let l be ((-54)/(-4))/((-85)/20 + 5). What is the greatest common factor of 6 and l? 6 Let i(v) = v - 5. Suppose 2*c - 5*d = 39, -5*c + 69 = -0*c - 3*d. Let z be i(c). Calculate the highest common divisor of z and 56. 7 Suppose 0 = -n + 2*s - 10, 2*s - s = n + 8. Let w(a) = a**2 + a - 6. Let q be w(n). Calculate the highest common factor of q and 60. 12 Suppose 2*s + 10 = 14. Calculate the greatest common divisor of s and 8. 2 Suppose l = -3*r + 66 + 25, 2*r + 5*l - 39 = 0. Suppose 0 = -2*u - 2*u + r. What is the greatest common factor of 16 and u? 8 Let c = 4 + 36. Suppose -22*u - 13*u + 175 = 0. What is the greatest common divisor of u and c? 5 Let y be (-120)/(-75) - (-4)/10. Let j = -5 + 7. Suppose -2*q = m - j, 0*m + 3*m - 3*q - 33 = 0. What is the greatest common divisor of y and m? 2 Let y(k) = 8*k + 2. Let w be y(6). Calculate the highest common factor of w and 10. 10 Let a be 2*1*12/3. Suppose 30 = 2*n + 194. Let d = -10 - n. Calculate the greatest common divisor of a and d. 8 Let k be (-2 + 2 - 0) + 32. Let g be ((-4)/(-2))/(3/(-15)). Let i = -2 - g. Calculate the greatest common divisor of i and k. 8 Let c = 17 + -7. Calculate the highest common divisor of 90 and c. 10 Suppose 4*g + 33 = 3*y - 24, 5*g = -4*y +
{ "pile_set_name": "DM Mathematics" }
2*i. Calculate the least common multiple of 2 and i. 4 What is the common denominator of (-182)/24 - (-1 + 0) and 36/(-504) - (-439)/(-28)? 12 Find the common denominator of 91/6 and 5/((-360)/182) - (-2)/4. 36 Let v = 35521/4692 - -5/391. Find the common denominator of -33/40 and v. 120 Suppose 1 - 21 = -2*q. Let p = -3 - -7. Calculate the least common multiple of q and (-1)/p - (-27)/12. 10 Let c be 4412/22 + (2 - 4). Let h = c + -849/44. Let n = -3719/20 + h. Find the common denominator of -11/20 and n. 20 Let t = 13 - -8. Suppose 0 = 3*o - 9, -3*o = -c - 2*c + t. What is the smallest common multiple of c and 7? 70 Suppose 3*w + 89 = 4*d - 2*w, -3*w - 17 = -d. Let i = 37 - 21. What is the lowest common multiple of i and d? 208 Let g be ((-5)/4)/((-3)/36). Let b = 5 + g. Find the common denominator of 7/18 and 806/b - (-3)/15. 18 What is the common denominator of 20/3 and ((-5)/375)/((-4)/357)? 300 Let a = -9365/6 + 1545. Let h be 1/3*(-165)/(-11). What is the common denominator of 2093/420 + 3/h and a? 12 Find the common denominator of -7/4 and 9/(-10)*(-8)/((-24)/7). 20 Let c = 248 - 2237/9. Calculate the common denominator of 1/(-2) + 114/(-16)*1 and c. 72 Let u = 10 + -5. Suppose u*f - 51 = 19. What is the smallest common multiple of f and 12? 84 Let z(h) be the first derivative of -h**4/4 + 4*h**3/3 - 2*h**2 - 5*h - 2. What is the common denominator of 55/2 and z(4)? 2 Let b = -707/3 + 935/4. Let v = -98/129 - 456851/258. Let j = 1805 + v. Calculate the common denominator of j and b. 12 Let m(c) = -c**2 + 234. What is the smallest common multiple of m(0) and 20? 2340 Let o = -105811/264 - -129/88. Let k = o - -1133/3. Calculate the common denominator of 65/8 and k. 24 Let x(d) = d**2 + 9*d + 8. Calculate the lowest common multiple of 16 and x(-9). 16 Suppose -w = f - 5 + 2, -w + 3 = 0. Suppose -3*y - y + 28 = f. What is the smallest common multiple of 2 and y? 14 Suppose 5*n - n = -5*m + 33, -n + 2*m = -5. Calculate the lowest common multiple of n and 3. 21 Find the common denominator of -17/8 and (-1)/(-2*4/252). 8 Suppose -2*n = -r - 1, 3*n - 4 = 2*n - 3*r. Let x(g) = n - 1 + g - 1. Calculate the smallest common multiple of x(4) and 7. 21 Let c be (-2564287)/55*(-2)/8. Let j = -11660 + c. Calculate the common denominator of j and -1/14. 140 Let h = 14 - 4. Let d = 6 + -5. What is the smallest common multiple of d and h? 10 Let u(q) = -2*q - 18. Calculate the least common multiple of 11 and u(-12). 66 Let u(j) = -3 + 802*j + 3 - 1. Let h be u(2). Let m = h + -28985/18. Calculate the common denominator of -9/14 and m. 126 Let z(o) = o**2 + 2*o + 4. What is the smallest common multiple of -1*(-12 + (-1 - 3)) and z(-6)? 112 Let l = 338741/22 - 15402. Calculate the common denominator of l and 113/36. 396 Let f = 59 - 9. Suppose -4*w + 38 = -f. Calculate the smallest common multiple of w and 8. 88 Suppose -4*s - 6 = -30. Calculate the lowest common multiple of 6 and s. 6 Let z = 200 - 310. Let q = z - -340/3. Find the common denominator of q and -101/8. 24 Suppose -24 = -3*z - z. What is the least common multiple of z and (0 - 1 - 0)/(-1)? 6 Let q = 4 - 1. Let b = q + 3. Suppose -28 - 12 = -2*t. Calculate the smallest common multiple of b and t. 60 Let o = -10 + 14. Let b = o + 1. Suppose 3*q - 2*g - 14 = 0, -b*q = 3*g - 4 - 13. Calculate the smallest common multiple of 18 and q. 36 Let f(j) = -j - 4. Let x be f(-5). Let r = 3 - x. Suppose -2*d - 5*l + 80 = r*d, 3*l = 4*d - 80. What is the least common multiple of d and 18? 180 Let m(j) = j + 4. Let y = 11 + -15. What is the least common multiple of m(6) and (18/y)/((-5)/10)? 90 Suppose 5*a - w - 52 = 0, -a + 2*w = -w - 16. Suppose 0*t + t = a. Calculate the smallest common multiple of t and 22. 110 Let q(t) = -t + 4. Let k be q(-4). Suppose -2 = -m + k. What is the lowest common multiple of m and 9? 90 Suppose 0*n = 4*n. Suppose n = -2*j - j - 6. Calculate the common denominator of 2/20*(j + -57) and -17/9. 90 Let f = -7 + 13. Suppose 3*y - 8 = -y. Calculate the least common multiple of 2/((y + -3)/(-1)) and f. 6 Suppose -2 = -q + 16. Suppose 15 = 3*d - 3*i, 4*i + q = 3*d - 0. What is the least common multiple of 9/(3/(-2 - -5)) and d? 18 Calculate the lowest common multiple of 2 and (0 - (-9)/(-6))/(2/(-12)). 18 Suppose -2*i = -5*q + 2 - 10, -4*i + 36 = -5*q. Let t = i - 11. What is the smallest common multiple of 4 and t? 12 Let a = -3615/4 + 923. Calculate the common denominator of a and (355/(-120))/(-1 - (-2)/3). 8 Let b = -8801 + 140755/16. Calculate the common denominator of b and -95/44. 176 Let d(u) = -u**3 - 2*u**2 + 2*u - 1. Let x be d(1). Suppose 0 = -a + 5 + 3. Let v = a + x. Calculate the smallest common multiple of 1 and v. 6 What is the smallest common multiple of 4/16 - (-105)/12 and 9? 9 Suppose -4*i + 5*y = -103, 4*i - y = -0*y + 91. Calculate the smallest common multiple of 2 and i. 22 Let q = 398 - 216. Calculate the common denominator of q/8 + (4 - 3) and -30. 4 Let l be 100/(-12) - 2/3. Let v be 6/l - 4/3. What is the common denominator of ((-309)/(-10))/3 - v and -5/3? 30 Let v(r) = r**2 + 6*r - 2. Let s be v(-6). Let c be (s - -3) + 3 + -8. Let f(b) = -b**3 - 5*b**2 - 5*b. Calculate the least common multiple of 16 and f(c). 16 Let y = -20356910 - -24550430969/1206. Let m = y + 2/201. Let g = -647/3 - -1361/6. What is the common denominator of m and g? 18 Let a = 2 + -1. Let p(x) = -9*x**2 - 14*x - 8. Let u(b) = 5*b**2 + 7*b + 4. Let m(s) = -3*p(s) - 5*u(s). What is the lowest common multiple of a and m(-4)? 8 Let o = -129/68 - 1/340. Find the common denominator of o and 4/10 - (-789)/(-210). 70 Let f be (-9)/48*-2*20. Let o = f - 7. Let k = -1217/30 + 136/15. What is the common denominator of k and o? 2 Let i be (-2)/(-3) + 1111/(-33). What is the smallest common multiple of (i/22)/(3/(-8)) and 22? 44 Suppose 3*y - 3 = 15. Let a be ((-3)/y)/((-2)/(-24)). What is the common denominator of 27/8 and 489/144 - 1/a? 16 Let j = 25489/10 + -2542. What is the common denominator of 5/3 and j? 30 Suppose -4*b - 4*u + 5 - 13 = 0, -b = -u - 8. Calculate the least common multiple of 10 and b. 30 Calculate the common denominator of (1 - -30)/(-29 - -7) and -55/6. 66 Suppose 3*o = 7 - 4, 32 = 5*x + 2*o. Calculate the smallest common multiple of x and 15. 30 Let i(h) = -4*h - 2. What is the lowest common multiple of i(-5) and 30? 90 Let i = 3/628 - 19495/5652. Find the common denominator of 2/9 - (-1390)/144 and i. 72 What is the common denominator of 596/80 + 0 + 1/4 and ((-9)/(-30))/((-12)/(-265))? 40 Calculate the common denominator of -43/3 and (-818)/28 + 14/(-49). 6 Suppose 0 = -4*a - 16 - 8. Let n be ((-6)/(-4))/(a/(-8)). Calculate the least common multiple of n/(-3)*(-6)/4 and 10. 10 Let l(m) = 4*m + 14. Calculate the lowest common multiple of 16 and l(5). 272 Let l be 3 - 3 - (-41530)/4914. Let w = l + -8/351. What is the common denominator of -83/2 and w? 14 Let m be 85/119 + 4/14. Suppose -38 - m = g. Calculate the common denominator of -37/5 and g. 5 Calculate the common denominator of (-108)/(-160) + (-3)/(-15) and 19/8. 8 Let r = -249427/34 - -7335. What is the common denominator of -21/20 and r? 340 Suppose 2*l - 3*y = -675, -1345 = 3*l + l - 5*y. Find the common denominator of (1/8)/((-5)/l) and -63/2. 4 Suppose -4*l + 2*l + 8 = 2*u, -3*l + 20 = 5*u. Suppose 0 = 4*j - 7*j + k + 23, 0 = u*j + k - 33. What is the lowest common multiple of j and 1? 8 Let q(k) = -k - 4. Let v be q(-6). Suppose 5*b - 46 = -2*m + 36, -v*m = -2*b + 44. What is the lowest common multiple of 6 and b? 18 Let l = -1/72 + 1727/2520. What is the common denominator of -57/20 and l? 140 Suppose 0 = -3*y - y - j + 28, -5*j = 0. What is the lowest common multiple of 4 and y? 28 Let j = -933/10 - -349/5. What is the common denominator of j and 23/4? 4 What is the common denominator of 33 and 8/8 + 106/10? 5 Let c = -46 + 92. Calculate the smallest common multiple of 14 and c. 322 Suppose 0 = 3*q - 12 - 12. Let x(k) = k**3 - 6*k**2 + 6*k - 6. Let n be x(5). What is the smallest common multiple of q and 9 + (2 - n) + -5? 56 Let m(h) = h**2 + 4*h + 5. Let c be m(-4). Let v = c - 1. What is the least common multiple of v and 18? 36 Suppose -2*j - j = -24. Find the common denominator of 4/3 and 804/
{ "pile_set_name": "DM Mathematics" }
is the second biggest value? (a) -3/2 (b) -147 (c) 0.3 (d) -5 a What is the biggest value in -6/5, 0, -0.2, 18, -0.1? 18 Which is the third biggest value? (a) 0 (b) 2/7 (c) -1/2 (d) -0.4 (e) -14 d Which is the second smallest value? (a) 5 (b) -6 (c) -0.3 (d) -11 (e) -0.8 b What is the third smallest value in 11, -2, -6? 11 Which is the smallest value? (a) -1/4 (b) -4/9 (c) 10 (d) -14 d Which is the fourth biggest value? (a) -6/5 (b) -1 (c) 1/2 (d) 13 (e) -0.3 b What is the biggest value in 29, -1, 6? 29 Which is the biggest value? (a) -1/5 (b) 12 (c) -3/4 (d) -18 b Which is the smallest value? (a) -1 (b) 0.1 (c) -5 (d) 1/4 (e) -6 e What is the third biggest value in -3, -2/3, 23, 0? -2/3 What is the third smallest value in -3/7, -18, 3/7? 3/7 Which is the biggest value? (a) -3/13 (b) -2 (c) 15/4 (d) -0.1 (e) 6 e Which is the second smallest value? (a) -0.8 (b) 1/4 (c) 0.5 (d) 3 b What is the fourth smallest value in -5, 3/4, 1/5, -3, 1/10? 1/5 What is the smallest value in -1, -2/3, -2, -101? -101 What is the third smallest value in 0.08, -1, 66? 66 Which is the fourth biggest value? (a) 2 (b) -0.83 (c) -1/2 (d) 6 b What is the third biggest value in -0.3, 0, -2, -2/3? -2/3 Which is the fourth biggest value? (a) 0.1 (b) -5 (c) 39 (d) -15 d Which is the second smallest value? (a) -2/13 (b) -0.2 (c) 0.02 a Which is the smallest value? (a) 2/5 (b) -12 (c) 0.19 b What is the second smallest value in -32, -0.2, 1/6? -0.2 Which is the biggest value? (a) -2/17 (b) -6/37 (c) 11 c What is the smallest value in -2/7, 7/17, 2? -2/7 What is the third biggest value in -3, 0.5, -2/5? -3 What is the second smallest value in -3, -0.3, -12, -0.8? -3 What is the biggest value in -8, -47/3, -2/13? -2/13 What is the fourth biggest value in 259, 0.2, 2/9, -1/5? -1/5 Which is the third smallest value? (a) 1/3 (b) -1.5 (c) -16 a Which is the third smallest value? (a) 5 (b) -0.07 (c) 1.4 a Which is the second smallest value? (a) -4 (b) -1/4 (c) 32 b What is the fourth biggest value in 0.2, -2, -2/123, 2/3? -2 What is the third smallest value in 1/4, -37, 0.3? 0.3 What is the third smallest value in 14, 130, 2? 130 Which is the biggest value? (a) -2 (b) 158 (c) -3 b Which is the third smallest value? (a) -0.11 (b) 4 (c) -2/15 b What is the biggest value in 60, -2, 0.4, 5? 60 Which is the fourth biggest value? (a) -1 (b) -8 (c) -2 (d) 4.3 b Which is the fourth smallest value? (a) -2/5 (b) 0 (c) 7 (d) 2 c Which is the smallest value? (a) -0.11 (b) 1.1 (c) 0.1 a Which is the third biggest value? (a) -4 (b) 0.1 (c) 1/6 a Which is the third smallest value? (a) 1 (b) 0.1 (c) 9/16 a Which is the smallest value? (a) -5 (b) 3/2 (c) -4 (d) -3 a What is the fourth biggest value in 15, 4/3, 6, -1, -2? -1 What is the third biggest value in 1/12, -4/3, 1, 0.55? 1/12 What is the fourth biggest value in -4/11, 0.3, 4, 2? -4/11 Which is the biggest value? (a) 2/7 (b) 4 (c) -0.07 (d) 0.2 b What is the biggest value in 4, 0.0785, 2/5, 0.1? 4 Which is the third biggest value? (a) 0.6 (b) -2 (c) 1/4 (d) 1/8 d Which is the second biggest value? (a) -1.4 (b) 2/7 (c) -0.051 (d) 3 b What is the second biggest value in -26, 5, 19? 5 What is the second smallest value in 2/3, -68, -2, -4? -4 What is the second biggest value in -3, -30, -3/2, 0? -3/2 What is the third smallest value in 0, 26/5, 3/2? 26/5 Which is the third biggest value? (a) 0.8 (b) -13/8 (c) -4 c What is the third smallest value in 3/5, -57, -4, -47? -4 Which is the second biggest value? (a) -1/5 (b) -9 (c) -560 b What is the second biggest value in -2/31, -3, 0.19, 4? 0.19 Which is the second smallest value? (a) -0.1 (b) -5/7 (c) -2 b What is the smallest value in 0, 1, -3, 0.12, 20? -3 What is the smallest value in -0.1, -17, -4? -17 Which is the smallest value? (a) -2/45 (b) 4 (c) 0.4 (d) -4 d What is the biggest value in -0.01, 5, 2/7, -0.2? 5 Which is the second biggest value? (a) -0.2 (b) -0.1 (c) -1/621 b What is the third biggest value in -2, 0.2, 0, -0.5? -0.5 Which is the smallest value? (a) 2/7 (b) 8 (c) 0.1 c Which is the fourth smallest value? (a) 1/3 (b) 4 (c) -0.1 (d) 7/5 b What is the biggest value in -5/4, 151, -2? 151 Which is the third smallest value? (a) 0 (b) -0.6 (c) 2/11 (d) 0.1 (e) -1/4 a Which is the fourth smallest value? (a) 5 (b) -3 (c) 0.65 (d) -1 a What is the third biggest value in 6/7, -3, 5? -3 What is the fourth biggest value in -0.1, 3, -1, 1/4? -1 What is the third smallest value in 45, -12, 0? 45 What is the third smallest value in -3/22, 0.1, 10? 10 Which is the biggest value? (a) 5/6 (b) 4/5 (c) 4/7 (d) -8 a Which is the biggest value? (a) -0.5 (b) -0.05 (c) -2 (d) 1/15 d What is the biggest value in -27/11, -0.2, -0.3? -0.2 What is the third biggest value in -0.145, -3/7, -1/3? -3/7 What is the fifth biggest value in -0.5, 0.1, -4, 8, 6? -4 Which is the smallest value? (a) 2 (b) 5 (c) 0.9 c Which is the second smallest value? (a) -2 (b) -42 (c) 0.04 a What is the second biggest value in -5, -3/4, 2, 38/11, -2/9? 2 Which is the third biggest value? (a) -0.243 (b) -2/9 (c) 2/21 (d) 6 b Which is the third biggest value? (a) 1/7 (b) -203 (c) 5 (d) -3/5 d Which is the second biggest value? (a) -0.1 (b) 2/11 (c) 0.7 (d) 2/13 (e) -0.5 b What is the third smallest value in 11, -2, 339? 339 Which is the third smallest value? (a) -2/143 (b) 4 (c) 0.3 b Which is the second smallest value? (a) 0.1 (b) 2/23 (c) 0.6 (d) 0.3 a What is the fourth biggest value in 0, -8, 1, -0.2? -8 Which is the fifth smallest value? (a) -39 (b) -0.1 (c) 0.5 (d) -1 (e) 5 e Which is the third smallest value? (a) 3 (b) -8 (c) 2/13 a Which is the second smallest value? (a) 2 (b) -3/2 (c) 0.211 (d) 0.09 d What is the biggest value in 0, -62, -9? 0 Which is the third biggest value? (a) -375 (b) -4/3 (c) -0.5 a Which is the fourth smallest value? (a) -2 (b) 1 (c) -1/4 (d) 12 (e) -10 b What is the biggest value in -11, 348, -1/5? 348 What is the second biggest value in 5, -1/24, -19/6? -1/24 Which is the second biggest value? (a) -1/9 (b) 1 (c) -3/217 c Which is the smallest value? (a) 2/3 (b) 54 (c) 3 (d) -0.1 d What is the third biggest value in -438, 4, 3, -5? -5 Which is the third biggest value? (a) 0.2 (b) 0.04 (c) -1.6 c What is the third smallest value in 3, 2/13, 50, -0.06, -1/11? 2/13 What is the second biggest value in 1/416, 0.4, -2? 1/416 What is the smallest value in -36, -2, 0.3, 4? -36 What is the third smallest value in -4, 0.6, 46, -3? 0.6 What is the fourth smallest value in -2/9, -3/5, -2/3, 2/27? 2/27 What is the third biggest value in 0.3, 270, 1/5? 1/5 Which is the biggest value? (a) -1 (b) -2/17 (c) 648 (d) -2/7 (e) -4 c What is the third smallest value in -2, 2/7, 3/4, -10, -3? -2 Which is the second smallest value? (a) 0.2 (b) -0.3 (c) 9 a What is the third biggest value in 0.027, 4, -2/11, 0? 0 What is the third smallest value in -10, 0.4, 5? 5 What is the second biggest value in -1/16, 2, 2/33? 2/33 What is the biggest value in 2, -3, 0.14, 0.04, -2? 2 What is the second smallest value in -20, 3, -4? -4 Which is the second biggest value? (a) -4 (b) 0.79 (c) -1 c Which is the third smallest value? (a) 0.4 (b) -8 (c) -17 a What is the third biggest value in -1, -35, 0.4? -35 Which is the third biggest value? (a) 1/3 (b) 3 (c) -5 (d) -3.9 d Which is the fourth smallest value? (a) -0.5 (b) -5/2 (c) -2/17 (d) 5 d Which is the second biggest value? (a) -0.2 (b) 6/11 (c) 3 b What is the biggest value in -4, -1, -0.6, -3/13, -3? -3/13 What is the biggest value in 0.0343, 0.02, -2/9? 0.0343 Which is the second smallest value? (a) 958 (b) -3/4 (c) -0.5 c Which is the third biggest value? (a) -25 (b) -1/4 (c) -2 (d) 5 c Which is the third biggest value? (a) -0.5 (b) 5/4 (c) -3/2 (d) -0.2 (e) -0.3 e What is the second smallest value in 0.08, 0.4, -2, -0.09? -0.09 What is the third biggest value in -6, -3, -4? -6 What is the second biggest value in 0, -4, -12, 6? 0 What is the second biggest value in 0.11, -3, 1/26? 1/26 Which is the second biggest value? (a) -1 (b) -0.36 (
{ "pile_set_name": "DM Mathematics" }
. 159 Calculate the greatest common divisor of 585 and 4560. 15 What is the greatest common divisor of 32 and 16976? 16 What is the greatest common divisor of 4779 and 15399? 531 Calculate the greatest common divisor of 79 and 59. 1 What is the highest common factor of 24620 and 5380? 20 Calculate the highest common factor of 490 and 47285. 245 Calculate the highest common factor of 35 and 3940265. 35 What is the highest common factor of 422850 and 550? 50 What is the greatest common divisor of 22 and 11779? 1 Calculate the highest common factor of 3260 and 25265. 815 What is the highest common divisor of 80 and 97640? 40 What is the highest common factor of 173067 and 75? 3 Calculate the greatest common divisor of 128 and 14528. 64 What is the highest common factor of 9196 and 91476? 484 Calculate the highest common divisor of 22650 and 425. 25 What is the greatest common divisor of 9960 and 150230? 830 What is the highest common factor of 495 and 66165? 165 Calculate the greatest common divisor of 168 and 442596. 84 Calculate the highest common factor of 5064 and 46209. 633 What is the greatest common factor of 38427 and 21? 3 Calculate the greatest common factor of 158818 and 1078. 22 What is the greatest common divisor of 79825 and 481525? 2575 What is the greatest common divisor of 94 and 6311677? 47 What is the highest common factor of 210 and 800? 10 What is the highest common divisor of 18434 and 715? 13 What is the highest common divisor of 20695 and 5? 5 What is the greatest common divisor of 422410 and 1590? 530 Calculate the highest common factor of 38 and 289959. 19 Calculate the highest common divisor of 92421 and 117. 9 What is the highest common divisor of 516406 and 22? 22 What is the greatest common factor of 53775 and 50? 25 Calculate the greatest common divisor of 12800 and 850. 50 Calculate the highest common divisor of 3600 and 67104. 144 What is the highest common factor of 10683 and 5283? 9 What is the highest common divisor of 502 and 274343? 251 What is the greatest common divisor of 14504 and 2960? 296 Calculate the greatest common divisor of 711 and 54194. 79 What is the highest common divisor of 57 and 215954? 19 Calculate the greatest common factor of 45 and 21891. 3 Calculate the greatest common factor of 3401 and 38. 19 What is the greatest common factor of 6 and 1036956? 6 What is the greatest common divisor of 171 and 2037693? 57 Calculate the highest common factor of 94732 and 176. 44 What is the highest common divisor of 17 and 9469? 17 What is the highest common divisor of 9 and 146358? 9 Calculate the greatest common factor of 212397 and 2988. 249 Calculate the greatest common factor of 3960 and 1808. 8 What is the highest common factor of 295 and 198240? 295 Calculate the greatest common factor of 733410 and 90. 90 Calculate the greatest common factor of 6 and 26646. 6 What is the greatest common divisor of 69053 and 7634? 347 What is the greatest common factor of 415 and 15604? 83 What is the highest common factor of 2896 and 39120? 16 Calculate the greatest common divisor of 99031 and 131053. 593 Calculate the greatest common divisor of 277 and 66. 1 What is the greatest common divisor of 68271 and 63? 21 Calculate the greatest common factor of 15272 and 552. 184 What is the highest common divisor of 82 and 19224? 2 Calculate the highest common factor of 95805 and 170. 5 What is the highest common divisor of 21 and 90267? 3 Calculate the highest common divisor of 15428 and 84. 28 What is the highest common factor of 6770175 and 75? 75 What is the highest common divisor of 1017 and 1584? 9 What is the highest common factor of 2961065 and 1005? 335 Calculate the highest common factor of 23 and 92161. 23 Calculate the greatest common factor of 42151 and 1098. 61 Calculate the highest common divisor of 217 and 3317. 31 Calculate the highest common factor of 18 and 296874. 18 Calculate the highest common divisor of 175287 and 238. 119 What is the greatest common divisor of 756 and 1590876? 252 What is the highest common factor of 24555 and 705? 15 What is the greatest common divisor of 670 and 40? 10 Calculate the greatest common divisor of 18 and 72486. 18 Calculate the greatest common factor of 221112 and 2331. 333 What is the highest common divisor of 79456 and 4? 4 What is the greatest common divisor of 519 and 2718? 3 Calculate the highest common factor of 192 and 40578. 6 What is the highest common factor of 26560 and 10880? 320 What is the highest common divisor of 10742 and 20582? 82 Calculate the highest common factor of 309 and 193125. 309 Calculate the greatest common divisor of 139555 and 2755. 95 Calculate the highest common divisor of 29570 and 370. 10 Calculate the highest common factor of 6813 and 45. 9 What is the greatest common factor of 87756 and 24? 12 Calculate the highest common factor of 100440 and 54. 54 Calculate the greatest common divisor of 4922 and 72439. 107 What is the greatest common divisor of 528 and 7848? 24 Calculate the greatest common factor of 759969 and 126. 63 Calculate the highest common factor of 4120 and 812258. 206 What is the greatest common divisor of 5748 and 408? 12 What is the highest common factor of 84 and 49448? 28 What is the highest common divisor of 215 and 1060? 5 What is the highest common factor of 535 and 1532989? 107 Calculate the highest common factor of 4335 and 110109. 867 What is the highest common divisor of 1 and 7573? 1 What is the greatest common divisor of 297 and 11995236? 297 Calculate the greatest common factor of 2937250 and 1550. 1550 Calculate the greatest common divisor of 589 and 97867. 31 What is the greatest common divisor of 240108 and 1926? 642 What is the greatest common divisor of 21027 and 2709? 129 Calculate the highest common divisor of 3856 and 4688. 16 Calculate the greatest common divisor of 828 and 50508. 828 Calculate the highest common divisor of 114 and 21470. 38 Calculate the greatest common factor of 111 and 47693. 37 Calculate the greatest common factor of 291973 and 95. 19 What is the highest common factor of 1298 and 10502? 118 What is the greatest common factor of 655 and 23449? 131 What is the greatest common divisor of 214695 and 91? 13 Calculate the greatest common divisor of 216 and 311877. 27 What is the highest common divisor of 441 and 90069? 21 Calculate the highest common factor of 276 and 53064. 12 What is the greatest common divisor of 147296 and 96? 32 Calculate the highest common factor of 162320 and 1840. 80 What is the greatest common factor of 2837718 and 1206? 1206 What is the greatest common divisor of 547228 and 44? 44 What is the greatest common divisor of 29466 and 270? 18 What is the greatest common factor of 26010 and 846? 18 Calculate the greatest common factor of 38880 and 6588. 108 What is the greatest common factor of 11707 and 368? 23 Calculate the highest common divisor of 39 and 22428. 3 What is the greatest common factor of 10626 and 184? 46 Calculate the greatest common factor of 3017231 and 287. 287 What is the greatest common factor of 7396 and 52? 4 Calculate the highest common divisor of 1365 and 53053. 91 What is the greatest common factor of 328 and 696? 8 What is the highest common factor of 13041 and 2093? 161 Calculate the highest common divisor of 998483 and 9084. 757 What is the highest common divisor of 395 and 50735? 5 What is the highest common factor of 94 and 33323? 47 Calculate the highest common divisor of 10224 and 2502. 18 Calculate the highest common factor of 65 and 68757. 13 What is the greatest common factor of 107380 and 236? 236 Calculate the highest common divisor of 25425 and 30. 15 What is the highest common divisor of 302835 and 9555? 195 Calculate the greatest common factor of 539 and 44275. 77 Calculate the greatest common factor of 105912 and 360. 72 Calculate the greatest common divisor of 16465 and 62789. 37 What is the highest common factor of 3275 and 43623? 131 Calculate the greatest common factor of 2585095 and 1010. 505 Calculate the greatest common factor of 351 and 7293. 39 What is the greatest common divisor of 27030 and 51? 51 What is the greatest common divisor of 274 and 6026904? 274 What is the highest common factor of 43380 a
{ "pile_set_name": "DM Mathematics" }
9)). Factor 0 + g*a**2 - 15/2*a. 3*a*(9*a - 10)/4 Let q = -35646 - -392116/11. Factor 48/11 - 2/11*l**2 - q*l. -2*(l - 3)*(l + 8)/11 Let t(v) be the first derivative of 0*v + 1/21*v**4 + 0*v**2 + 3*v**3 - 1/105*v**5 + 1/1260*v**6 + 10. Let y(s) be the third derivative of t(s). Factor y(b). 2*(b - 2)**2/7 Let m(u) = 15*u**2 - 1005*u - 1056. Let b(k) = 3*k**2 - 12. Let o(a) = 4*b(a) - m(a). Factor o(q). -3*(q - 336)*(q + 1) Suppose 1002*i + 5784 = 2930*i. Factor -5/3*w**i - 1/3*w**4 + 0 + 8/3*w - 2/3*w**2. -w*(w - 1)*(w + 2)*(w + 4)/3 Let d(g) = -6*g**2 - 39*g + 38. Let i be d(-7). Let p(z) be the first derivative of 1/2*z + 3/8*z**2 + i + 1/12*z**3. Solve p(w) = 0 for w. -2, -1 Let j(u) = 2*u + 91. Let y be j(13). Factor -38*w**2 - 7 + 2 - y*w**2 - 160*w. -5*(w + 1)*(31*w + 1) Let n(o) be the first derivative of -1/4*o**3 - 6 - o + 7/8*o**2. Factor n(s). -(s - 1)*(3*s - 4)/4 Let p(a) be the first derivative of -9*a**4/28 - 61*a**3/7 - 192*a**2/7 - 108*a/7 + 3254. What is y in p(y) = 0? -18, -2, -1/3 Let b(v) be the third derivative of v**5/180 - v**4/24 - 5*v**3/9 - 33*v**2 + 5. Factor b(q). (q - 5)*(q + 2)/3 Let t(s) = -2*s**2 + 1338*s + 6743. Let f be t(-5). Factor 3/2*p**2 + 1/2*p**f - 2*p - 6. (p - 2)*(p + 2)*(p + 3)/2 Let v(i) be the third derivative of -7/135*i**5 - 7/540*i**6 + 0*i**3 - 1/945*i**7 + 0*i - 154*i**2 + 0 - 2/27*i**4. Determine g so that v(g) = 0. -4, -2, -1, 0 Let h = -78/137 - -293/274. Let -2 - 1/2*z**3 + 2*z**2 + h*z = 0. What is z? -1, 1, 4 Let f(n) be the first derivative of -2/3*n**3 + 0*n + 2/5*n**5 - 3/4*n**2 + 1/12*n**6 - 14 + 1/4*n**4. Find a such that f(a) = 0. -3, -1, 0, 1 Factor 0*t + 2/3*t**5 + 20/3*t**4 + 16*t**2 + 0 + 56/3*t**3. 2*t**2*(t + 2)**2*(t + 6)/3 Let s(w) be the first derivative of -2*w**5/35 + w**4/7 + 32*w**3/21 - 32*w**2/7 - 2643. Factor s(o). -2*o*(o - 4)*(o - 2)*(o + 4)/7 Let r(i) be the third derivative of -1/300*i**6 + 0*i - 169/60*i**4 + 0 + 58*i**2 - 13/75*i**5 + 0*i**3. Factor r(v). -2*v*(v + 13)**2/5 Suppose -35325 = -19*g - 6*g. Suppose -1407*z = -g*z + 18. Suppose -4/3*t + 2/3*t**4 + 0*t**z - 2*t**2 + 0 = 0. What is t? -1, 0, 2 Let u(z) be the first derivative of 4*z**5/5 + 10*z**4 + 116*z**3/3 + 64*z**2 + 48*z + 1030. Let u(i) = 0. Calculate i. -6, -2, -1 Let u(v) be the first derivative of 8/39*v**3 - 1/26*v**4 - 180 + 0*v - 3/13*v**2. Factor u(n). -2*n*(n - 3)*(n - 1)/13 Let t(c) be the third derivative of -c**6/1020 + 41*c**5/170 + 83*c**4/68 + 125*c**3/51 + 1076*c**2. Factor t(b). -2*(b - 125)*(b + 1)**2/17 Suppose -3*o = 2*h - 91, 5*o - 10 = 4*h + 127. Suppose 43*f = -127*f + 510. Determine d so that 14 + 43*d - f*d**2 - 23*d - o*d + 16 = 0. -5, 2 Suppose -42*o + 16 = 29*o - 126. Let l = -794 + 3982/5. Factor -l*u + 0 + 2/5*u**o. 2*u*(u - 6)/5 Let l(z) be the third derivative of z**6/1140 + 3*z**5/19 - 157*z**4/76 + 20*z**3/3 - 2113*z**2. Let l(a) = 0. What is a? -95, 1, 4 Let q(c) be the third derivative of 40*c**2 + 1/945*c**7 + 2 + 1/90*c**6 + 2/45*c**5 + 0*c + 2/27*c**4 + 0*c**3. Find h, given that q(h) = 0. -2, 0 Let r(i) = 555*i**2 + 4*i - 18. Let l be r(-10). Factor -l + 5*v**3 - 85*v + 55442 - 80*v**2. 5*v*(v - 17)*(v + 1) Let a = 795 - 797. Let d be a/7 - 1035/(-315). Let 3/5*f**2 - 18/5*f**d - 3/5 + 18/5*f = 0. Calculate f. -1, 1/6, 1 Let h = -917867 + 1835737/2. Suppose 30*y**2 - 45/2*y + h*y**5 + 0*y**4 - 15*y**3 + 6 = 0. Calculate y. -4, 1 Find v, given that 700*v + 0 - 20*v**2 + 1/7*v**3 = 0. 0, 70 Let l be ((-259)/(-14) - 8)*(-116)/(-3). Let t = l - 1217/3. Solve 0 + t*g + 4/9*g**4 + 8/9*g**3 - 11/9*g**2 = 0. -3, 0, 1/2 Determine q, given that 116*q**3 + q**2 - 112*q + 128 + 12*q**2 - 5*q**2 - 112*q**3 + 8*q**2 = 0. -8, 2 Let s be ((-384)/720)/(196/(-70)). Factor 2/7*v**2 - 8/21*v - 2/21*v**4 - 8/21 + s*v**3. -2*(v - 2)**2*(v + 1)**2/21 Let d(r) be the third derivative of r**5/80 + 7*r**4/4 - 305*r**3/8 + 2*r**2 - 2010. Let d(q) = 0. What is q? -61, 5 Let b(k) be the first derivative of 2*k**5/85 + 8*k**4/17 + 46*k**3/51 - 316*k**2/17 + 792*k/17 + 747. Determine q so that b(q) = 0. -11, -9, 2 Let k be (-4)/5 - 4598/(-1815)*(-6)/(-4). Let n(v) be the second derivative of 1/150*v**5 - 1/45*v**4 + 6*v + 1/45*v**k + 0 + 0*v**2. Find i such that n(i) = 0. 0, 1 Let h(u) be the second derivative of u**4/20 + 32*u**3 + 957*u**2/10 + 621*u. Factor h(k). 3*(k + 1)*(k + 319)/5 Let d be (-62)/2*(2/(-2))/1. Determine v so that -13*v**2 + 3 - 3*v + 2*v**3 + 51*v - 4 - d - 5*v**2 = 0. 1, 4 Let c(p) be the third derivative of -p**6/40 + 11*p**5/4 + 7*p**4 + 2*p**2 - 1231. Factor c(b). -3*b*(b - 56)*(b + 1) Suppose 0 = 3*g + 4 - 1, 34 = 5*m + g. Suppose -12 = m*z - 26. Factor -z*o + 0*o + 5299*o**2 - 3 - 5298*o**2. (o - 3)*(o + 1) Let t be 8/6*21/(-14). Let a(w) = w**2 - 32*w - 229. Let b(m) = -4*m**2 + 97*m + 689. Let r(o) = t*b(o) - 7*a(o). Suppose r(j) = 0. Calculate j. -15 Let r(y) be the third derivative of y**6/40 - 19*y**5/30 + 35*y**4/8 - 9*y**3 + 1357*y**2. Let r(q) = 0. What is q? 2/3, 3, 9 Let v(y) be the first derivative of 69*y**5/20 + 209*y**4/16 + 12*y**3 + y**2/2 + 889. Find w, given that v(w) = 0. -2, -1, -2/69, 0 Let l(h) be the first derivative of 5*h**6/6 + 39*h**5 - 205*h**4/4 - 65*h**3 + 100*h**2 - 1513. Determine g so that l(g) = 0. -40, -1, 0, 1 Let c = -4109118/11 + 373950. Factor -54872/11*a + 2/11*a**4 + 260642/11 + c*a**2 - 152/11*a**3. 2*(a - 19)**4/11 Let y(j) be the third derivative of -j**6/360 - 19*j**5/60 + 13*j**4/8 - 17*j**3/6 - j**2 + 17. Let g(p) be the first derivative of y(p). Factor g(t). -(t - 1)*(t + 39) Let f = 797912 + -797910. Factor 2 - 3/2*p + 1/4*p**f. (p - 4)*(p - 2)/4 Let s be ((-78)/52)/((-6)/32). Suppose s*m + 10 = 10*m. Let -5*q**2 - 34*q**5 + 5*q**4 + 17*q**5 + 14*q**m - 2*q + 5*q**3 = 0. Calculate q. -1, -1/3, 0, 1, 2 Let a(z) be the second derivative of -3*z**5/140 + 39*z**4/7 - 93*z + 2. Determine o, given that a(o) = 0. 0, 156 Let c = -622 + 642. Factor 2*k**4 - 86 + 3*k - 2*k**3 + 134 - k - c*k**2 - k + 7*k. 2*(k - 3)*(k - 2)*(k + 2)**2 Let v(y) be the second derivative of 5/24*y**4 + 1/6*y**3 - 4 + 0*y**2 + 6*y - 1/60*y**6 - 1/84*y**7 + 3/40*y**5. Factor v(o). -o*(o - 2)*(o + 1)**3/2 Suppose -2*x - 14 = 4*g, 3*x - 347*g + 342*g - 34 = 0. Solve -3/4*f**2 - x - 3*f = 0. -2 Suppose -4*i - n = -6*n - 54, 4*n - 47 = -5*i. Let q be (-23)/(-253) + (-1)/i. Factor 0 + 0*d**2 - 1/4*d**5 + 0*d + q*d**4 + 0*d**3. -d**5/4 Factor 9/2*c - 47/5 + 1/10*c**2. (c - 2)*(c + 47)/10 Let o(f) = 4*f**4 - 96*f**3 - 12*f**2 + 292*f + 200. Let a(j) = 28*j**4 - 670*j**3 - 84*j**2 + 2044*j + 1400. Let h(x) = -2*a(x) + 15*o(x). Factor h(y). 4*(y - 25)*(y - 2)*(y + 1)**2 Let a(b) be the first derivative of 0*b + 67 + 1/21*b**3 + 1/7*b**2. Factor a(n). n*(n + 2)/7 Let q(p) be the second derivative of 0*p**4 + 0 + 2/15*p**6 - 2*p**2 + 27*p + 2/5*p**5 - 4/3*p**3. Find w, given that q(w) = 0. -1, 1 Factor -357*m - 6*m**3 - 13*m - 12*m**3 + 195*m**2 + 13*m**3. -5*m*(m - 37)*(m - 2) Solve 1/3*a**2 - 338/3*a + 28561/3 = 0. 169 Let o(y) = 7*y - 28. Let u be o(8). Suppose 8*j - 12 = u. Solve -4*t - 2*t - 7*t**4 + 27*t**2 - 20*t**4 - 15*t**3 + 21*t**j + 0*t**2 = 0. -1, 0, 2/7, 1 Let r(j) be the third derivative of -j**6/200 - 18*j**5/25 - 1581*j**4/40 - 961*j**3 - 516*j**2. Determine z so that r(z) = 0. -31, -10 Determine p, given that 144*p - 39*p**2 + 143*p**3 - 539*p**2 + 148*p**3 - 283*p**3 = 0. 0, 1/4, 72 Let d(i) be the second derivative of i**5/70 - 19*i**4/14 - 39*i**3/7 - 59*i**2/7 - i - 546. Factor d(n). 2*(n - 59)*(n + 1)**2/7 Let z(n) be the second derivative of 97*n + 3/10*n**5 + 1/14*n**7 - 3/10*n**6 + 0*n**2 + 0 + 0*n**4 + 0*n**3. Factor z(b). 3*b**3*(b - 2)*(b - 1) Let w(y) be the first derivative of -81*y**4/16 + 569*y**3/12 - 493*y**2/4 + 6*y + 5748. Factor w(v). -(v - 4)*(v - 3)*(81*v - 2)/4 Let i = -1591371 - -11139605/7. Factor 0 + 4/7*d**4 + 0*d + i*d**3 - 32/7*d**2. 4*d**2*(d - 2)*(d + 4)/7 Let c(o) be the third derivative of -10/3*o**4 + 2 + 0*o - 16/3*o**3 - 2/5*o**5 + 14*o**2 + 3/10*o**6. Let c(f) = 0. Calculate f. -2/3, 2 Let o(l) be the first derivative of -9*l**4/4 - 58*l**3 + 60*l**2 - 1597. Factor o(d). -3*d*(d + 20)*(3*d - 2) Find t such that 2/5*t**3 + 19008*t + 186624/5 + 868/5*t**2 = 0. -216, -2 Solve 5*f + 4/3*f**4 - 19/3
{ "pile_set_name": "DM Mathematics" }
s divided by 17? 16 Calculate the remainder when 176186 is divided by 287. 255 What is the remainder when 36516230 is divided by 144? 134 What is the remainder when 337903 is divided by 48270? 13 Calculate the remainder when 178977 is divided by 5766. 231 Calculate the remainder when 31670558 is divided by 13. 10 Calculate the remainder when 52363 is divided by 51583. 780 Calculate the remainder when 4159890 is divided by 3834. 0 Calculate the remainder when 79085 is divided by 415. 235 Calculate the remainder when 36159 is divided by 786. 3 Calculate the remainder when 232905 is divided by 1830. 495 Calculate the remainder when 1651214 is divided by 201. 200 Calculate the remainder when 245778 is divided by 6444. 906 What is the remainder when 3345841 is divided by 25156? 93 Calculate the remainder when 860729 is divided by 21493. 1009 Calculate the remainder when 5715262 is divided by 37112. 14 What is the remainder when 2804282 is divided by 560854? 12 What is the remainder when 73174498 is divided by 2286703? 2 What is the remainder when 5160864 is divided by 67906? 8 What is the remainder when 7815756 is divided by 339810? 126 Calculate the remainder when 23050 is divided by 980. 510 Calculate the remainder when 441528 is divided by 147030. 438 What is the remainder when 8073573 is divided by 2018382? 45 Calculate the remainder when 64940 is divided by 12949. 195 Calculate the remainder when 1314392 is divided by 1240. 1232 Calculate the remainder when 1117924 is divided by 1076. 1036 What is the remainder when 934072 is divided by 62269? 37 What is the remainder when 99367 is divided by 8644? 4283 What is the remainder when 28098791 is divided by 383? 379 Calculate the remainder when 23119982 is divided by 2544. 110 Calculate the remainder when 317231 is divided by 339. 266 Calculate the remainder when 3958571 is divided by 368. 363 Calculate the remainder when 1677177916 is divided by 247. 245 Calculate the remainder when 83044 is divided by 1551. 841 Calculate the remainder when 265154 is divided by 401. 93 Calculate the remainder when 3777411 is divided by 170. 11 Calculate the remainder when 4947856 is divided by 1272. 1048 What is the remainder when 5497437 is divided by 260? 257 Calculate the remainder when 8611224 is divided by 52. 24 What is the remainder when 1480020 is divided by 364? 360 Calculate the remainder when 21410119 is divided by 20. 19 Calculate the remainder when 722096 is divided by 964. 60 What is the remainder when 359722 is divided by 87? 64 Calculate the remainder when 235491735 is divided by 13. 11 Calculate the remainder when 3475385 is divided by 54. 53 Calculate the remainder when 54828 is divided by 1726. 1322 Calculate the remainder when 150409202 is divided by 109. 102 Calculate the remainder when 3794039 is divided by 77. 18 What is the remainder when 1264944 is divided by 52689? 408 Calculate the remainder when 6621406 is divided by 664. 662 What is the remainder when 70403 is divided by 726? 707 What is the remainder when 182577 is divided by 1099? 143 Calculate the remainder when 58103446 is divided by 37754. 40 What is the remainder when 42399 is divided by 10014? 2343 What is the remainder when 124596 is divided by 124345? 251 What is the remainder when 977100 is divided by 4176? 4092 Calculate the remainder when 1042144 is divided by 398. 180 What is the remainder when 69694 is divided by 34759? 176 What is the remainder when 245660410 is divided by 332? 330 Calculate the remainder when 16615 is divided by 88. 71 Calculate the remainder when 131781 is divided by 13010. 1681 Calculate the remainder when 2592317 is divided by 173. 85 What is the remainder when 16669492 is divided by 9? 7 Calculate the remainder when 296874 is divided by 2232. 18 Calculate the remainder when 428667 is divided by 214325. 17 Calculate the remainder when 3908798 is divided by 15. 8 Calculate the remainder when 160433249 is divided by 821. 818 Calculate the remainder when 4617304 is divided by 2308652. 0 Calculate the remainder when 48651885 is divided by 7590. 7575 What is the remainder when 109717801 is divided by 13? 11 What is the remainder when 861297 is divided by 23? 16 What is the remainder when 30455913 is divided by 3586? 15 Calculate the remainder when 634678 is divided by 18. 16 Calculate the remainder when 18132785 is divided by 292463. 79 Calculate the remainder when 131232 is divided by 65402. 428 What is the remainder when 770958 is divided by 107? 23 Calculate the remainder when 2043705 is divided by 89. 87 What is the remainder when 232688875 is divided by 19? 17 What is the remainder when 5207205 is divided by 356? 349 What is the remainder when 283356 is divided by 140764? 1828 Calculate the remainder when 108707 is divided by 36074. 485 Calculate the remainder when 435547953 is divided by 3434. 3431 Calculate the remainder when 534327 is divided by 10678. 427 What is the remainder when 989298 is divided by 44? 2 What is the remainder when 43897 is divided by 2792? 2017 What is the remainder when 254780 is divided by 70? 50 Calculate the remainder when 4068664 is divided by 4546. 4540 Calculate the remainder when 7743346 is divided by 553096. 2 Calculate the remainder when 212083694 is divided by 18. 8 What is the remainder when 31876 is divided by 15894? 88 What is the remainder when 22471497 is divided by 284449? 26 What is the remainder when 17853 is divided by 445? 53 Calculate the remainder when 27335251 is divided by 80162. 9 What is the remainder when 4352620 is divided by 637? 636 What is the remainder when 863343 is divided by 20531? 1041 Calculate the remainder when 2684034 is divided by 894630. 144 Calculate the remainder when 2141438 is divided by 462. 68 Calculate the remainder when 4905176 is divided by 1307. 5 Calculate the remainder when 7501668 is divided by 3473. 3461 Calculate the remainder when 48398 is divided by 11349. 3002 Calculate the remainder when 332234 is divided by 1667. 501 Calculate the remainder when 20519 is divided by 20338. 181 What is the remainder when 997229 is divided by 90656? 13 Calculate the remainder when 633101468 is divided by 17. 14 What is the remainder when 2408122 is divided by 28? 10 What is the remainder when 194128 is divided by 5240? 248 Calculate the remainder when 7448332 is divided by 16192. 12 Calculate the remainder when 53000478 is divided by 963645. 3 Calculate the remainder when 236851 is divided by 1704. 1699 Calculate the remainder when 7318309 is divided by 1463647. 74 What is the remainder when 155582 is divided by 11112? 14 Calculate the remainder when 248401 is divided by 49622. 291 Calculate the remainder when 1503434 is divided by 1121. 173 Calculate the remainder when 13094 is divided by 1491. 1166 Calculate the remainder when 325298 is divided by 9353. 7296 Calculate the remainder when 121358 is divided by 1046. 22 Calculate the remainder when 210442 is divided by 23353. 265 What is the remainder when 1308896 is divided by 295? 276 Calculate the remainder when 309580924 is divided by 29. 8 What is the remainder when 560258 is divided by 179? 167 Calculate the remainder when 297594 is divided by 4273. 2757 Calculate the remainder when 1767082 is divided by 70682. 32 What is the remainder when 6518359 is divided by 1831? 1830 Calculate the remainder when 10030362 is divided by 149. 129 Calculate the remainder when 1306305 is divided by 697. 127 What is the remainder when 60020 is divided by 29859? 302 What is the remainder when 15904347 is divided by 11? 8 Calculate the remainder when 108780870 is divided by 566567. 6 What is the remainder when 40661880 is divided by 20330931? 18 Calculate the remainder when 621372 is divided by 1422. 1380 What is the remainder when 126951096 is divided by 25? 21 What is the remainder when 16772996 is divided by 121? 97 Calculate the remainder when 710854 is divided by 142159. 59 Calculate the remainder when 46959571 is divided by 13. 9 Calculate the remainder when 1217912 is divided by 378. 374 Calculate the remainder when 11149022 is divided by 8079. 2 Calculate the remainder when 67484713 is divided by 30. 13 What is the remainder when 46284074 is divided by 173? 0 Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
j). -3 Suppose -10*t - 24 = -22*t. Let z(g) = 1522*g - 3*g**t - 2*g**2 - 1516*g + 4*g**2 + 1. Let q be -1 + 6 + (2 - 1). Give z(q). 1 Let p be (9/(-6))/(2/(-8)). Suppose 3*r - p*r - 4*z = -15, 2*r - 10 = -z. Let x(i) = i**3 - 6*i**2 + 4*i - 1. Calculate x(r). -6 Let b(f) = -f**2 + 3. Let o(z) = 3*z**2 - 11*z - 4. Let w be o(4). Determine b(w). 3 Let l(g) = -g - 10. Let v be l(-6). Let q = 2 - v. Let s(o) = o - 10. Let n be s(q). Let x(w) = -w**3 - 4*w**2 - w + 2. What is x(n)? 6 Let o(r) = 5*r - 7 + 8 + 1. Let z be o(1). Let d = -7 + z. Let q(f) = -f - 5. Calculate q(d). -5 Let r(u) = 4*u + 14. Let h(z) = -3*z - 10. Let c(p) = 7*h(p) + 5*r(p). Calculate c(5). -5 Suppose 4 - 10 = 6*k. Let r(n) = -n**3 + n - 1. Let a(j) = 7*j**3 - j**2 - 3. Let x(q) = a(q) - 2*r(q). Calculate x(k). -9 Let s(b) = 2*b**2 + 40*b - 50. Let o be (21/140*5)/(2/(-56)). Give s(o). -8 Let d(h) = -h**2 - h. Suppose -5*p - 4 = -3*l, -4*l - 5*p = -2*p + 14. Let b be (18/27)/(l/3)*0. Determine d(b). 0 Let i be (-4)/(-14) + 57/21. Let o(d) = -d**2 + d + 2. Let s(b) = b**2 + 2*b - 8. Let v(p) = 2*o(p) + s(p). Calculate v(i). -1 Let w(m) = m**2 + 22*m - 20. Let v be w(-23). Let l(a) = 16 + 13 + 2*a - 28 - v*a. What is l(0)? 1 Let t(a) be the second derivative of -a**2/2 + 2*a. Let f(y) = -y - 1. Let r(z) = -f(z) + 6*t(z). Let i = 704 + -699. Give r(i). 0 Let t(k) = 253 + 17*k**2 - 275 + 226*k**3 - 225*k**3 - 18*k. Calculate t(-18). -22 Suppose -i = -3*x - 15 + 64, -95 = -5*x + 5*i. Let b(t) = 16*t**2 - x*t**2 - 14 + 3 - t. Let l be 2/(-8) + (-1)/(-4). What is b(l)? -11 Let j(n) = 26*n - 54. Let b be j(2). Let r(v) = -3*v + 4. Determine r(b). 10 Suppose b - 4 + 2 = 0. Let f(c) = -2 + 5*c**3 + 2*c**2 - 10*c**3 + 3 - b*c. Suppose 0 = 4*v + 3*q - 19, q - 5*q + 19 = -v. Determine f(v). -4 Let d(y) = -y**3 + 5*y**2 - y + 7. Let z(u) = u**2 + 19*u. Let p be z(-20). Suppose 2*l - 7*l = b - 10, 5*b - 5*l - p = 0. Give d(b). 2 Let x(q) be the second derivative of -q**6/120 + q**5/12 - 5*q**4/24 + q**3/3 + 11*q**2/2 + 9*q - 1. Let o(g) be the first derivative of x(g). What is o(3)? 5 Let s(r) = 3 - 10*r**2 + 6*r + 2*r**2 + 7*r**2. Let c be 1*-7*(-10 + 9). Determine s(c). -4 Let x(y) = y**3 - 2*y**2 + 1. Let z(c) = c**3 - 4*c**2 - 12*c + 2. Let o be z(6). Give x(o). 1 Let t(s) = -s**3 - 2*s**2 - s + 12. Let a(y) = -y**3 - 2*y**2 - 2*y + 13. Let w(v) = 2*a(v) - 3*t(v). Determine w(0). -10 Let q(d) = -4 + 1 + 2*d**2 + 4 - d - 3. Suppose -8*g + 12*g = -12. Calculate q(g). 19 Let k(o) be the second derivative of -o**6/120 - o**5/10 + 5*o**4/24 - o**3 - 8*o**2 + 15*o. Let p(m) be the first derivative of k(m). Determine p(-7). 8 Suppose -4*q = -k + 6*k + 30, -3*q - 17 = k. Let j(l) = -2*l**2 - 2*l + 2. Give j(k). -2 Let o(m) be the third derivative of m**5/60 - 2*m**4/3 - m**3 - 388*m**2. Give o(12). -54 Let z(d) be the second derivative of -1/12*d**4 + 1/20*d**5 + 0*d**3 + 0 - 23*d + 3/2*d**2. Give z(0). 3 Let n(i) = -i**2 - 9*i - 1. Let a(j) = j**2 + 12*j - 3. Let b be a(-11). Let x be b/(-2)*2/(-2). Give n(x). 13 Let b = 97 + -91. Let l(u) be the second derivative of -u**6/360 + u**5/24 + u**4/4 - u**3/6 + 4*u. Let f(t) be the second derivative of l(t). Calculate f(b). 0 Let o(u) be the third derivative of u**8/20160 - u**7/1008 - u**6/120 + 7*u**5/30 - u**2. Let d(w) be the third derivative of o(w). Determine d(5). -6 Let a(p) = 18*p**2 + 1. Suppose -15 = -13*v - 2*v. Calculate a(v). 19 Let p(g) = g**2 - 18*g - 15. Suppose 5*j - 49 = -3*h + 49, 3*h = -3*j + 60. Give p(j). 4 Let q be (-10)/(-6)*(2 - 20). Let i be (-1 - 110/(-6))/((-154)/(-231)). Let l = i + q. Let b(c) = c**2 + 6*c + 5. Give b(l). -3 Let r(c) = 3*c**2 + 6*c**3 - 6*c**2 - 4 - 4*c**3 + 4*c - 3*c**3. Let q(a) = -2*a**3 - 6*a**2 + 9*a - 8. Let y(t) = -4*q(t) + 9*r(t). What is y(-3)? -4 Let y be (1/2)/(4/(-80)). Let j = y - -6. Let z(p) = -4*p + 16. Let r(n) = n - 2. Let f(m) = -5*r(m) - z(m). Determine f(j). -2 Let u(m) = -4*m - 2. Let q = -650 + 646. Determine u(q). 14 Let p(a) be the third derivative of a**5/60 + a**4/24 + a**3/3 - 11*a**2. Let x(i) be the first derivative of p(i). Give x(-2). -3 Let a(f) = -4*f. Let r(s) = -22*s + 42. Let u be r(2). Give a(u). 8 Let q(n) = 3 + 22*n + 25*n - 66*n + 16*n. What is q(-3)? 12 Let q(x) = x**2 + 5*x + 3. Let w(u) = u - 2. Let h be w(7). Suppose -h = 4*c + 11. Calculate q(c). -1 Let q(m) = -m**3 + 9*m**2 - 10*m + 7. Suppose 131 - 35 = 4*u. Let j be (6 + -3)/(9/u). Calculate q(j). -9 Let p(b) = b**3 - 6*b**2 - 7*b + 3. Let z be p(7). Let s(a) = -15 - z*a + a + 3 + a**2 + 7. Let i be 30/8 + 1/4. Give s(i). 3 Let d = -12 + 51. Suppose 4 = 7*f + d. Let m(n) = 2 + 3 + 1 + 3*n. Give m(f). -9 Let v(a) be the second derivative of -1/6*a**3 + 4*a - a**2 + 0 - 1/12*a**4. Determine v(2). -8 Let j(u) = u**3 + 11*u**2 + 24*u + 2. Let o be j(-8). Let z(l) = 3*l**3 - 5*l**2 + 5*l - 6. What is z(o)? 8 Let q = 1416 - 1406. Let r(u) = -u**2 + 11*u - 10. Calculate r(q). 0 Let b(g) = g - 2. Suppose 3*h = -0*h, -4*l + 2*h = 8. Let m be (10 - 13)*(-1 - l). What is b(m)? -5 Let z be (3678/(-216) + 17)*6/(-10). Let w(g) be the third derivative of 5/24*g**4 + 0 + 0*g**3 + 0*g + z*g**5 + g**2. Calculate w(-6). 6 Let i(p) = -p**3 - 3*p**2 + 7*p + 3. Suppose 203 = -19*s + 108. What is i(s)? 18 Let v(g) = -8 - 5*g**3 - 9*g - g**2 - 6*g**2 + 4*g**3. Let c(a) = 205*a - 621. Let o be c(3). Give v(o). 10 Suppose -3*l + 3*q = -6*l - 3, 0 = -3*l + 2*q - 28. Let i(g) = -g**3 - 5*g**2 + 6*g + 6. What is i(l)? 6 Let t(v) be the first derivative of 2*v**2 - 35. Let i = 4 + 1. Let p = 9 - i. Calculate t(p). 16 Let g(y) = y**3 - 7*y**2 + 7*y + 1. Suppose 0 = -75*w + 80*w - 15. Suppose 2*c = x - w*x + 2, -2*x = -4*c - 26. Give g(x). -14 Suppose -47*b + 43*b = 12. Let p(x) = -3 + 2 - 3*x + 0*x. Determine p(b). 8 Let c(q) = -q**2 - 3*q - 5. Let s(h) = h**2 + 5*h - 6. Let u be s(-6). Suppose 2*a - 5*a = -36. Suppose u = -7*t + 4*t - a. Calculate c(t). -9 Let f(b) be the second derivative of 1/6*b**3 - b - 1/2*b**2 + 0. What is f(6)? 5 Let a(j) = -j**2 + 9*j - 8. Suppose -65 = 4*h - 3*w - 10, -5*h + 4*w - 70 = 0. Let d = 5 - h. Suppose -3*l + 0*l + d = 0, f - 22 = -3*l. Calculate a(f). 6 Let t(p) = -6*p**3 - p**2. Let y = -80 + 113. Suppose 136 = 128*a - 124*a. Let n = a - y. Give t(n). -7 Let g(z) be the second derivative of -z**5/20 + z**4/2 - 7*z**3/6 + z**2/2 - z. Let q(y) = 219*y + 662. Let x be q(-3). Give g(x). -9 Let d(l) = -l**3 + l**2 + 9*l + 12. Let r(i) = i + 1. Let n(a) = d(a) - 6*r(a). Let u(f) be the first derivative of n(f). What is u(-2)? -13 Suppose -4 - 29 = -11*l. Let j(u) = -4*u**3 - 9*u**2 + 3*u + 1. Let v(p) = -7*p**3 - 17*p**2 + 6*p + 2. Let w(x) = l*v(x) - 5*j(x). Calculate w(-6). -17 Let c(b) be the second derivative of b**5/20 + 5*b**4/12 - b**3/3 + b**2 - 21*b + 5. What is c(-4)? 26 Let w(t) = -55 + 0*t - 2*t + 27 - t**2 + 24. Let d(p) = p**3 + p**2 - 2*p - 3. Let g be d(-2). What is w(g)? -7 Let o(m) be the third derivative of 1/120*m**6 + 0 + 1/12*m**5 + 0*m - 5/24*m**4 + 4*m**2 - m**3. Let h = 31 - 37. Give o(h). -12 Let v(h) = -h**2 + 7*h - 9. Suppose 1762*i = 1755*i + 42. What is v(i)? -3 Let r(w) be the second derivative of w**4/2 + w**3/2 - w**2 - 2*w + 203. Give r(1). 7 Let o = 1577 + -1573. Let s(g) = -2*g**2 + 15*g - 29. Determine s(o). -1 Let s(l) = l**3 + 4*l**2 - l + 1. Let f be s(-4). Let r(o) = o - 1. Let j(w) = -5*w. Suppose 0 = 5*v + 19 - 24. Let b(u) = v*j(u) + 6*r(u). Give b(f). -1 Let o = -918 + 924. Let l(d) = -d**3 + 6*d**2 - 3*d + 2. Determine l(o). -16 Suppose -m + 26 = 4*r - 2*m, -5*r = 4*m - 22. Let s(v) = 7*v - r*v + 5 + 2*v. Give s(-4). -7 Let t = -37 + 43. Let y be (t/4)/(-1) - 6/(-12). Let s(m) = -2*m**3 + m**2. Determine s(y). 3 Let k(y) = 2 + 0*y - 126*y**2 + 2 + 3*y + 3*y + 124*y**2. Calculate k(5). -16 Let z be (-4)/10 - (288/40)/(-3). Let d(r) = 11*r - z*r - 5 - 7*r. Calculate d(4). 3 Let w(o) be the third derivative of o**6/120 + 2*o**5/15 - 3*o**4/8 - o**3/3 + 13*o**2. Calculate w(-9). -2 Let x(s) = s**2 + 5. Let l(z) = 4*z**2 - 13*z + 3. Let m be l(4). Suppose -2*c - m = -2*b - 7*c, 12 = 4*c. Give x(b). 5 Let r = 4 - -1. Let p(i) = i**3 - i**2 - 4*i + 6. Let v be p(2). Let m(y) = -2*y**3 - 6*y**v - 26*y + 3*y**3 + 28*y + 0 + 6. Give m(r). -9 Let c(u) = 9*u + 2
{ "pile_set_name": "DM Mathematics" }
t r be l(1). Are 9 and r unequal? True Let c = -809 - -67957/84. Is c >= -1? True Let l = 0.2164 - 0.34. Are l and 1 nonequal? True Let x(o) = -o**3 - 6*o**2 - 3*o + 4. Let h be x(-5). Suppose 3*w + 57 + 18 = 0. Let v = w + 73/3. Is h less than v? True Suppose 3*j + j + 2*h = -80, -3*j = -2*h + 53. Suppose -a - 9 - 12 = 0. Which is smaller: a or j? a Suppose -3*a + 3*q = -5*a + 17, -2*a - 2*q = -18. Which is smaller: 8 or a? 8 Let k(d) = d**3 - 5. Let h(a) = a + 4. Let l be h(-4). Let n be k(l). Let u be (n - -4)/(-4 - -1). Is u bigger than 1? False Let p(k) = -k**3 - 2*k + 28. Let v be p(0). Let i = 20 - v. Suppose -5 = -x, 1 + 0 = 4*g + 5*x. Which is greater: g or i? g Let n = 724855 - 1226783. Let v = n - -30116851/60. Let c = -98/5 + v. Which is smaller: c or -1? -1 Suppose -10*b + 790 = -180. Suppose 0 = 5*t + b - 52. Let f = -24 - -16. Which is greater: f or t? f Let r be -4 + 0 + 0 + 6. Suppose -2*j - 16 = j + 5*b, -12 = r*j + 3*b. Which is smaller: -13 or j? -13 Suppose 40 = 3*j + 112. Let b = 23 + j. Is b at least 2/161? False Let q(n) = n**3 - 11*n**2 + 12*n - 9. Let c be q(10). Let s(v) = -v**2 + 11*v - 1. Let h be s(c). Which is greater: -2/9 or h? -2/9 Let f = -0.058 - -0.108. Which is smaller: 2 or f? f Let p = -3 + 3. Which is smaller: -6/17 or p? -6/17 Let y be 1 - 3/429*139. Let d = -648/2717 + y. Are d and 0 non-equal? True Let y = -51 - -52. Let b(j) be the second derivative of -j**4/12 + 4*j**3/3 - j**2 - 3*j. Let n be b(8). Which is smaller: n or y? n Let n = 106 + -106. Let u = 4/197 - 2054/4137. Let w = -4/21 + u. Is n at most as big as w? False Let f = 0.8 + 1. Let i = f + -1.75. Let o = -0.01 - i. Which is greater: 2/3 or o? 2/3 Let f = -20 + 21. Which is greater: f or 4/543? f Let i be ((-7)/(-2))/(1/(-2)). Let b be (-4 - (-52)/12)/((-2)/(-18)). Suppose -30 = 5*x - 3*l, b*x = 2*x - 4*l - 6. Which is bigger: i or x? x Let l = -29 + 13. Let y = 13 + l. Let i be (-20)/9 + 0/y. Which is greater: i or -1? -1 Let g = 4 + -6. Let o be (-54)/24*2/(-3). Let d = o + -1. Which is smaller: d or g? g Suppose 5*r = -0*r + 10. Let q be -4 + 2*r/(-4). Suppose 10 = -8*i - 38. Which is smaller: i or q? i Suppose -7 = i - 3*a - 2, -5*a = -20. Suppose 0 = 4*u - i*u + 45. Is u bigger than 15? False Let h = 1 + -1. Let y = -188/19 + 1160/171. Let c = y + 214/63. Are c and h equal? False Let j be (32 - 4/1)*(10 + -8). Is 50 smaller than j? True Suppose -6*r = -2*r + 448. Let k = r - -52. Let o be (261/k + 4)*-4. Which is greater: o or 0.2? o Let y = 0.01 + -14.01. Let z = 14 + y. Is z <= -1.9? False Let q be (-2)/9 + 160/396. Let s = 1/100 - 41/100. Does q = s? False Let q = 527 + -867. Let n be (30/q)/(6/8). Which is bigger: -1 or n? n Let w be (57/12)/(2/8). Let p be (-1)/3 - 1/(12/(-220)). Which is greater: p or w? w Let k be (-970)/5917*(-1)/5. Are 0 and k non-equal? True Let h(w) = w**2 + 3*w - 1. Let c be h(-3). Let x be (-2480)/18 - -4 - 0. Let z = -134 - x. Is c at most z? True Let z(a) = -2*a + 24. Let b be z(7). Let s be (b/(-30))/(10/12). Is -1/20 > s? True Suppose 5*s + 4*x + 13 = -15, 4*x = -8. Let l be -2 - 0/s - 0. Let p be 11/(2*(-1)/l). Which is bigger: p or 9? p Suppose 6*m - 11*m + 15 = 0. Suppose 0 = m*x + n - 84, -4*n + 18 = -3*x + 102. Let v = 13 - 13.1. Which is smaller: v or x? v Let b(g) = 13*g - 8. Let w(t) = 2*t - 1. Let a(r) = 2*b(r) - 2*w(r). Let l be a(2). Are 31 and l non-equal? True Suppose -2*g + 0*z = -3*z - 14, -3*g + z + 7 = 0. Suppose h = 4*c + 3*h + 4, 3*c + 3*h + 6 = 0. Which is greater: c or g? g Let w be -9 - (24/72)/((-5)/123). Let d = -6 + 9. Which is bigger: d or w? d Suppose 35*w + 6 = 32*w. Let k be (-40)/(-70) + 184/(-126). Which is smaller: w or k? w Let k = 2072664/53 - 39108. Which is greater: 0 or k? 0 Let v = -27945 - -23865027/854. Is 1 smaller than v? False Suppose 0 = -4*x + 20, u + 4*x + 376 = -0*x. Is -397 >= u? False Let m(b) = -5*b - 5. Let j be m(-4). Let k(z) = z**3 + 37*z**2 + 133*z + 46. Let h be k(-33). Does h = j? False Let h = 1.618 - 1.618. Which is greater: h or -0.885? h Let h = 22.1 - -1.9. Let a = 24.26 - h. Let o = 0.29 - a. Which is bigger: o or 1? 1 Let b be 1 + -6 + (-873)/(-162). Which is smaller: b or 1/3? 1/3 Let s be (-1 - (-649)/(-2))*(-3730)/1119. Are s and 1084 nonequal? True Let d = 43.981 + 0.019. Let v = 46 - d. Is -16 smaller than v? True Let w be (4 + -1)*(-6)/(-7). Let g = -52 + 73. Suppose -6*n + g = n. Which is smaller: w or n? w Let o = 10.1 - -2.9. Let u = -1 + -6. Let w = o + u. Which is smaller: -0.1 or w? -0.1 Let i(r) = 3*r**2 - 5*r + 21. Let f be i(6). Let q = 109 - f. Which is bigger: q or 65/6? 65/6 Let c = -2167 + 2168. Which is bigger: -5.4 or c? c Suppose y - 3*z - 12 = -1, -y = -z - 15. Suppose 0 = 5*g + 5, 0*x - 3*g - 7 = -2*x. Suppose s + 4*s - x*l = y, -l - 13 = -4*s. Is 5 < s? False Suppose 2*a - 3*a = -5. Suppose -2*t = 5*u - 25 + 7, -a*u = 4*t - 16. Are t and 1 nonequal? True Let s = -189/2 + 95. Let a = -7/6 + s. Is a bigger than -22? True Let y(v) be the first derivative of -v**3/3 - 4*v**2 - 7*v - 11. Let f be y(-6). Suppose -48 = f*h + h. Does -8 = h? True Let g(u) = 11*u**2 + 2*u**3 - 5 - 1 - 3*u**3 + 13 + 24*u. Let s be g(13). Is -19 equal to s? True Let d(m) = m**3 - 8*m**2 + 3*m + 9. Let j be d(7). Let z = -1339/42 + 171/14. Let h = z - j. Is 3/4 less than or equal to h? False Suppose -l + g = 4, 0 = -4*g - g + 5. Let q = -22340/9 - -2478. Which is bigger: q or l? l Let b = -12 - -7. Let y = -9/2 - b. Let r be (27/(-60))/((-12)/20). Which is smaller: r or y? y Let r be (-50)/30*1/5. Let y = -25 - -36. Which is greater: r or y? y Let d = -656 - -3301/5. Do 4 and d have different values? True Let l = -3.0838 + 0.0838. Is 223 greater than or equal to l? True Let d = 23.1 + -25. Let n = -2 - d. Let q = 199 + -227. Which is greater: n or q? n Let s = -9 + 14. Suppose s*c - l = -0*l + 21, 4*l = -2*c + 26. Is c at most as big as 5? True Let o(a) = -a**3 - 2*a**2 + 4*a - 4. Let l be o(-4). Suppose -8*w + 4 = -l*w. Let i = 3/725 - 7283/7975. Is i less than w? False Let f = 1779 - 1777. Let k = -5 + -7. Is f < k? False Let q = 11/12 - 5/4. Let y(u) = 12*u**3 + u**2 + 3*u + 1. Let l be y(-1). Which is smaller: l or q? l Let m = 1 - 7.4. Let l = m - -6.1. Is l < 1? True Let n(y) = -y**3 + 7*y**2 + 20*y - 17. Let h be n(9). Which is bigger: -2/105 or h? h Let r be ((-16)/(-6))/((-13)/(-78)). Let v = r + 5. Are v and 23 equal? False Let w = 0.41 - 0.11. Let a = w - 2.3. Which is smaller: a or -6/13? a Let h = 389/4 + -96. Suppose -2 = 5*n + 2*q, -n = -5*n + q + 1. Suppose n = -i + 3*i. Which is bigger: h or i? h Let p = 4499 + -652351/145. Is -1 > p? False Let m(y) = 2*y**2 - 9*y + 5. Suppose 0 = -t + 5*t - 2*u - 14, t - 5*u = -1. Let d be m(t). Which is bigger: -0.23 or d? d Let f be 1*(2 + -16)*(-11)/(-22). Which is smaller: f or -141/19? -141/19 Let n(f) = f + 5. Let w(m) = m**3 + 7*m**2 + 3*m + 17. Let c be w(-7). Let h be n(c). Are h and 5/8 equal? False Let p = 1290 - 7789/6. Let i = -151/18 - p. Which is bigger: i or 1/4? 1/4 Let w(o) = 0 - 5 + 2 + o + 1. Let r be w(6). Let d be (2 + -4)*10/r. Which is bigger: -4 or d? -4 Suppose -4*h - l = -27, -3*h = -4*l - 1 - 5. Let p = 6 + 0. Is h greater than or equal to p? True Let z be -1*(-4 + 1)/(-3). Let g be 6 + -14 - 170/(-21). Which is greater: g or z? g Let g = 0.15 + 1.95. Let x = g - 0.9. Let v = -0.2 + x. Which is bigger: v or -2/3? v Suppose -m = -3*d - 4*m + 183, 5*m = 2*d - 115. Suppose 2*w + 4 = d. Which is bigger: 27 or w? w Suppose -n + i = -5, -i - 4*i - 13 = n. Suppose -2 = 2*m - 3*y + y, -n*m - 5*y = 37. Let l = 10 + m. Which is smaller: l or 0? 0 Let q(b) = 37*b + 192. Let y be q(-8). Which is bigger: -108 or y? y Let b(j) = -j - 4. Let l be b(0). Let g be 2 - (1/(-13))/((-75)/(-1285)). Let p = -1/65 - g. Is l less than or equal to p? True Let l = 1741 + -3481/2. Which is smaller: -0.136 or l? -0.136 Let j(i) = 6*i - 4. Let n be j(8). Suppose 4*x - 142 = -3*h - 1, x = -4*h + 175. Which is greater: n or h? n Suppose 0 = 41*s - 27 + 68. Do -27/16 and s have different values? True Let v = 19.98 - -0.02. Let x = 20.2 - v. Let k be 4 + 260/(-44) - -2. Is x less than or equal to k? False Let j = 23950/7 - 26780/7. Let p = j + 405. Is p bigger than 2/7? True Let r(u) = 3*u
{ "pile_set_name": "DM Mathematics" }
f**2 + n*f + i*f**4 + h*f**3 + d and give i. -5 Rearrange 480*z + 972*z + 516*z - 30*z - 279*z to d*z + i and give d. 1659 Rearrange -5*a**2 + 9*a**3 + 724 - 13*a**3 + a**4 - 747 + 3*a**2 - 16*a + 17*a to p*a**4 + v*a + d*a**2 + y*a**3 + s and give y. -4 Express (s + s - 3*s)*(8 - 8 + 2*s + 2*s + 0*s - s + (-1 + 2 + 2)*(s + 6 - 6) + 1 - 1 - 2*s) as a + o*s**2 + u*s and give o. -4 Express (-o**2 - 21 + 21)*(171 + 53 + 62 + 427) as v*o**2 + p*o + g and give v. -713 Express -253*m**3 + 142*m**2 + 152*m**2 + 156*m**2 + 9*m - 2 - 450*m**2 in the form n*m + j*m**3 + y*m**2 + c and give j. -253 Express (4*m**2 + 4*m**2 - 20*m**2)*(1 + 6 - 4) - 192*m**2 - 14*m**2 + 56*m**2 as u*m**2 + f*m + q and give u. -186 Express 3*o - o**2 - 29 - 6*o + 15*o**3 + 26 - 23*o**3 - 8*o**4 - 8*o**3 in the form u*o**3 + t*o**4 + b + l*o + c*o**2 and give b. -3 Rearrange 0*c + 186 - 13*c + 2*c**3 + 25*c - 12*c to l*c**3 + u + y*c**2 + w*c and give l. 2 Rearrange (3*t + 1763 - 3576 + 1747)*(5 - 4 + 1) to the form u + c*t and give c. 6 Rearrange (-23*p - 34722 + 113*p**2 + 34722)*(-4 - 5*p + 2*p + 5*p) to the form z*p**2 + x*p**3 + a + i*p and give i. 92 Express (-1 + 1 + 1)*(-44 + 44*g + 44) + (7 - 9 - 6)*(-3*g + 2*g + 8*g) as o + k*g and give k. -12 Rearrange (0*d - 3*d + d)*(-8204 - 10*d + 8204)*(-3 + 5 + 3) to the form k*d**2 + n*d + u and give k. 100 Express 4*n - 19 - n**3 - 965*n**4 + 58 - 979*n**4 + 38 + 1945*n**4 as b*n**4 + a + m*n**2 + s*n + t*n**3 and give t. -1 Rearrange (5 - 3 - 1)*(-16*v**2 - 4*v**4 + 16*v**2) - 152*v**4 - 26*v**4 + 180*v**4 to z*v + f*v**4 + c*v**2 + g + n*v**3 and give f. -2 Express ((4 + 0 - 5)*(-3 + 2 - 2) + 2 - 3 + 2)*(0 - w + 0) - 52630 + 52630 + 278*w as n*w + t and give n. 274 Rearrange 24492*d**2 - 19 + 5*d**4 - 24493*d**2 - 1 - 14*d**3 to the form j*d**3 + q*d**2 + k*d + t + w*d**4 and give t. -20 Express 1142 - 831*h + 100*h**2 + 831*h - 1137 as z + r*h**2 + y*h and give y. 0 Express -4*n - 105552 - 105589 + 210968 + (0 + 3 - 4)*(2*n + 2*n - 6*n) in the form z*n + i and give z. -2 Express (203443 + 699*b - 203443)*(4*b - b - b)*(-17 + 6*b + 17) as r*b**2 + s*b + f*b**3 + h and give f. 8388 Express 49 + 747*t - 2320*t + 763*t + 777*t in the form n + q*t and give q. -33 Rearrange -1 - 2*q + 7*q - 22*q**2 + 65*q**2 + 109*q**2 + 2*q - 2*q**3 to o*q**2 + b*q + j + u*q**3 and give j. -1 Express -2 - y**4 + 2 + (36 - 74 + 32)*(2*y**4 + 3*y**4 + y**4) - 3*y**4 - 73*y + 73*y as f*y + w*y**4 + c*y**3 + d + k*y**2 and give w. -40 Rearrange (1 - 1 - 2)*(0*b**2 + b**2 + 3*b**2) + 551*b - 551*b + 296*b**2 + (2*b + 0*b + 0*b)*(5*b - 4*b + b) to the form x*b + h*b**2 + c and give h. 292 Rearrange 8919*y**2 - 4487*y**2 - 4434*y**2 - 2*y + 2237 to b*y**2 + l + q*y and give l. 2237 Express 34*a**4 - 6*a**2 + 2*a**2 - 5 - a**3 - 50*a**4 + 19*a + a**2 + 18*a**4 as u*a**3 + s*a**2 + q*a + z*a**4 + i and give u. -1 Rearrange -8315*u**2 + 5573*u**2 - 4*u + 4*u to the form m + n*u**2 + t*u and give n. -2742 Rearrange 3*o + 2*o + 917*o**2 + 47*o - 49*o to the form k*o**2 + q*o + b and give k. 917 Rearrange (-2 + 3 + 2)*(-5*s**2 + 4*s**2 + 3*s**2 - 955637 + 959806) to f*s + m + h*s**2 and give h. 6 Express -414*z**2 + 210*z**2 + 3 + 207*z**2 + 1 - 28*z + 2*z**3 + z**3 as c + l*z**3 + k*z**2 + w*z and give c. 4 Rearrange (181 - 788 - 241 - 1034)*(276 - 276 - 24*h**3) to j*h**2 + a + o*h**3 + t*h and give o. 45168 Express -1608*m - 562*m**2 - 1619*m + 3227*m in the form n*m**2 + q*m + c and give n. -562 Rearrange (-6 + 4 + 3)*(0 - 4 + 3)*(3 - 4 - 1)*(6 - 13 - 13)*((-1 + 2 - 3)*(m + 2 - 2) - 9 + 9 + 8*m) to v + h*m and give h. -240 Express (1 + 2*z - 15*z + 4*z)*(42 - 27 + 154)*(5*z - z - 5*z) as w + u*z + d*z**2 and give d. 1521 Express (2 + 0 - 1)*(0 + 1 + 1)*(-2*g**2 + 6*g**2 + 6*g**2 + (1 - 5 + 5)*(6*g**2 + 472597*g - 472597*g - 4)) as a*g**2 + k*g + i and give i. -8 Rearrange -52*y**2 - 225*y - 108*y**2 - 913*y + 159*y**2 to n + z*y + o*y**2 and give z. -1138 Rearrange -27*n + 150*n**2 + 150*n**2 + 8*n - 14*n - 305*n**2 to the form b*n**2 + t*n + w and give b. -5 Express (-555 - 1670 + 310)*(3*h + 4*h - 6*h)*(-2*h**2 + h**2 + 3*h**2)*(0*h - 10*h - h) in the form s*h**3 + j*h + q*h**2 + o + t*h**4 and give s. 0 Express (4*q - q - q)*(3 - 2 + 0) + 3*q - 17*q - 6*q + 15625 - 15620 + 5*q + 5*q in the form j + y*q and give y. -8 Express -2 + g - 13 - 15*g**2 + 1 + 2*g**3 - 15*g**2 - 13*g**2 - g**4 in the form r + n*g**3 + k*g + c*g**2 + l*g**4 and give n. 2 Express 1128*p - 4548*p**2 + 1351*p**2 - 1787*p**2 - 1128*p as h*p**2 + z + k*p and give h. -4984 Express (4*l + 2*l - 3*l)*(2 - 3 - 1)*(4 - 3 - 3)*(-52 + 93 + 54) as g*l + h and give g. 1140 Rearrange 6*g + g - 137*g**2 + 184*g**3 - 98*g**3 - 87*g**3 to the form k*g**2 + m + l*g**3 + u*g and give k. -137 Express 54*l - 268264*l**2 + 47 - 8 + 268261*l**2 in the form z + b*l + j*l**2 and give j. -3 Rearrange -1277*d - 1385*d - 1360*d + 1990*d to x + s*d and give s. -2032 Express 3*n - 213*n**2 + 640*n**2 + 3861*n**2 + 3037*n**2 - 5*n as g + c*n + s*n**2 and give g. 0 Express 3*z - 3*z + z**3 + (2*z**2 + z**2 + 4*z**2)*(-23 - 2997*z + 8 - 145*z + 15) in the form w*z**2 + c*z**3 + j*z + l and give c. -21993 Rearrange 44*j - 5*j - 12*j + 18 to u*j + q and give u. 27 Express -637*p**2 + 4 + 1267*p**2 + 4 - 635*p**2 as i + k*p + t*p**2 and give i. 8 Express (-4 - 3*w + 4)*(1275 - 1275 + w + (-5 - 2*w + 5)*(-2 - 3 + 4)*(-4 + 4 - 25)) as a + i*w + l*w**2 and give l. 147 Express (2*s**2 + 0 + 0)*(-61787 + 21794 + 16723 - 8392 - 41262 - 51969) as m + f*s + y*s**2 and give m. 0 Express (-71*u - 7*u**2 + 71*u)*(-u**2 + 0*u**2 + 0*u**2)*(-4 - 3 + 5) in the form i*u**4 + k*u**2 + z*u + x*u**3 + c and give i. -14 Rearrange -7*q**2 + 7*q**2 - 3*q**3 + (3*q**2 - q**2 + 0*q**2)*(0 + 5 - 8)*(-9334 - 20*q + 9334) to b*q**3 + m + o*q + k*q**2 and give b. 117 Rearrange -29 + 4270*h + 135 - 29 - 77 to the form m*h + v and give m. 4270 Rearrange -256*f**2 + f**4 + 441*f**2 - 2 + 3*f + 4 - 5 - 1 to the form m*f**2 + b + c*f**3 + r*f + k*f**4 and give r. 3 Express 2*w + 2*w**4 + 16*w**3 + 3*w**2 + 5 - 9 - 13*w**3 - w**2 + 7 in the form c + r*w + n*w**3 + o*w**2 + g*w**4 and give o. 2 Express -4955*w - 4863*w - 2374*w in the form u + t*w and give t. -12192 Express -4579*c + 13*c**2 - 1 + 9157*c - 4586*c as n + y*c + d*c**2 and give d. 13 Rearrange a**3 - 182*a**4 + 6*a + 177*a**4 - 4*a**2 - 4*a + 9 to the form s*a**4 + k + c*a + i*a**2 + x*a**3 and give x. 1 Rearrange -261 - 28 - 93 - 346 + 2*b to t + h*b and give h. 2 Express 2*w**2 + 2*w**2 + w**2 + (-9 + 40 - 9)*(42 - 42 - 7*w**2 + (-5*w + 0*w + 3*w)*(-5*w + w + w)) in the form q*w + f*w**2 + h and give f. -17 Express -24*n**2 + 11*n**2 - 19 - 645*n + 2493*n + 20 + 12*n**2 in the form v + j*n**2 + g*n and give j. -1 Express -26826*j**2 - 2246 + 13406*j**2 + 2*j**3 + 13420*j**2 as r*j**2 + k*j**3 + u + w*j and give w. 0 Rearrange (-s**2 - s**2 + 4*s**2)*(2*s - 1975 - 2147 + 4656) to o*s**3 + n*s**2 + w + k*s and give o. 4 Rearrange 8*q - 8*q**3 - 9*q - q**2 - 2*q - 3*q - 16 - q to g + d*q**3 + u*q**2 + r*q and give g. -16 Express 14589 + 14589 - 29178 + 6673*r as g + x*r and give x. 6673 Rearrange (3 - 1 + 0)*(35*x - 59*x + 25*x - 16) + (-3*x - x + 2*x)*(-1 - 2 + 1) - 7*x + 2*x + 3*x + 2*x + 0 + 0 + 4*x - 3*x + x to the form w*x + f and give f. -32 Express 10*u - 7*u + u + (-4 + 3 + 0)*(0*u + 0*u + 2*u) + 9 + 231*u - 11 + 1 - 1184*u in the form p*u + m and give p. -951 Rearrange -4*q - 440968*q**2 + 4*q + 452102*q**2 + 0*q to a*q**2 + s + w*q and give a. 11134 Express ((-90 - 75 + 22)*(-6 + 2 + 0) - 3 + 3 + 4)*(-3*b + 5*b + 0*b) in the form p + w*b and give p. 0 Express (5*l + 12826*l**2 + 26*l - 12827*l**2)*(-3*l**2 - 4*l**2 + 4*l**2) - 2*l**4 + 5*l**4 - 2*l**4 as a*l + u*l**4 + f*l**2 + j + m*l**3 and give j. 0 Rearrange -9083*h**4 - 9076*h**4 + 2 - 16*h**2 - h**3 + 18155*h**4 to f*h + u*h**4 + p*h**2 + d*h**3 + x and give x. 2 Express (-3*i + 0*i + 2*i)*(4 - 5 + 0) - 139 - 4546*i + 449 - 155 - 155 as x*i + s and give x. -4545 Rearrange y + 2*y - 2*y + (2 - 3 + 3)*(33 + 15*y - 33) + (-3 + 2 + 0)*(-24*y - 39*y - 62*y) to the form n*y + q and give n. 156 Express (-4*m**2 - 2*m**2 + 5*m**2)*(m - 4*m + 2*m) - 66*m**2 - 58*m**2 - 312*m**3 + 120*m**2 in the form z*m**2 + w*m**3 +
{ "pile_set_name": "DM Mathematics" }
of 0*t**2 - 1/12*t**4 + 0 + 0*t**3 - 154*t. Let k(u) = 10*u**2. Determine k(m(y)). 10*y**4 Let a(i) = -4*i. Let j(c) be the second derivative of 7*c - 1 - 29/3*c**3 + 0*c**2. Give a(j(v)). 232*v Let i(p) = 3*p**2. Let w(q) be the first derivative of -q**3/3 - q**2 + 5*q + 7. Let n be w(0). Let a(x) = -6*x + 12*x - n*x + x. Give a(i(b)). 6*b**2 Let d(q) = -346652*q. Let g(r) = 512*r + 2. What is g(d(p))? -177485824*p + 2 Let f(j) = -17*j**2 - 11*j**2 + 20*j**2 + 18*j**2 - 13*j**2. Let t(g) = -3417*g. What is t(f(x))? 10251*x**2 Let w(g) be the first derivative of 7*g**3/3 + 3*g**2/2 - 14. Let p(r) = 22*r - 4. Let z(f) = 16*f - 3. Let h(v) = -3*p(v) + 4*z(v). Calculate h(w(x)). -14*x**2 - 6*x Let w(j) = j**2. Let f(q) = -2925*q**2 + 8*q + 2. Let c(k) = 5074869*k**2 - 13884*k - 3471. Let x(g) = -6*c(g) - 10413*f(g). Give x(w(p)). 8811*p**4 Let h(p) = -p**2. Let k(q) = -24433348*q. Give k(h(r)). 24433348*r**2 Let l(d) = -3*d**2. Let a(y) = -2*y - 5 + 6 - 2. Let k(b) = -2*b**2 + 8*b + 4. Let o(u) = -4*a(u) - k(u). Give o(l(v)). 18*v**4 Let v(o) be the second derivative of o**3/2 + 3*o + 14. Let f(q) = 3*q. Let a(j) = -2*f(j) + 3*v(j). Let s(x) = -x**2 + 5*x. Determine a(s(i)). -3*i**2 + 15*i Let i(d) = d. Suppose 24 = -184*t + 196*t. Let x(a) = 309*a**t - 401*a + 401*a. What is x(i(m))? 309*m**2 Let k(s) = 3522*s - 9. Let u(h) = -9*h. What is u(k(w))? -31698*w + 81 Let h(p) be the first derivative of 0*p - 121 + 2/3*p**3 + 0*p**2. Let i(w) = -82*w. What is i(h(l))? -164*l**2 Let p(r) = 13*r + 12. Let j(n) = -3*n - 4. Let a(u) = 7*j(u) + 2*p(u). Let t(v) = 17*v + 2. Calculate t(a(k)). 85*k - 66 Let o(f) = -377*f + 2. Let z(b) = -4593*b. Determine z(o(p)). 1731561*p - 9186 Let h(m) = -21*m**2 - 28*m**2 + 68*m**2 - 20*m**2. Suppose -95 + 76 = -d. Let b(a) = -14*a + 34*a - d*a. Determine h(b(x)). -x**2 Let m(c) be the second derivative of -3*c**4/2 + 1719*c. Let f(w) = -30*w**2 - 1. Determine f(m(v)). -9720*v**4 - 1 Let k(n) = 297*n - 155. Let v(i) = -i + 27. What is k(v(x))? -297*x + 7864 Let q(l) be the second derivative of 37*l**4/3 - 8736*l. Let x(n) = 51*n. Determine x(q(i)). 7548*i**2 Let p(f) = 2*f + 15. Let h(w) = w + 5. Let j(y) = 12*h(y) - 4*p(y). Let q(a) = -a. Let n(t) = -2*t + 3 - 3 + 7*t. Let r(o) = -n(o) - 2*q(o). Determine r(j(g)). -12*g Suppose 14*b - 29 = -1. Let q(x) = 11038 - 11038 + 0*x**2 - 5*x**b. Let a(g) = -390*g. Let k(l) = 17*l. Let s(h) = -4*a(h) - 91*k(h). What is q(s(d))? -845*d**2 Suppose 4*p - 418 = 2*f, 74 = 3*p + 5*f - 207. Let i(c) = -p*c - 100*c + 310*c - 104*c. Let d(j) = 0*j + 2*j + 0*j. Determine i(d(n)). 8*n Let s(b) = -3*b - 81. Let l(n) = 50*n**2 + 66*n**2 + 68*n**2 - 175*n**2. Calculate l(s(r)). 81*r**2 + 4374*r + 59049 Let l(b) = 0*b**2 + 30 + 34 - 66 - 4*b**2. Let v(x) = -x**2. What is v(l(f))? -16*f**4 - 16*f**2 - 4 Let r(s) = -s + 13. Let o(p) be the second derivative of p**4/6 - 5*p**3/6 - 2149*p. Give o(r(x)). 2*x**2 - 47*x + 273 Let r(h) = -906*h. Let w(d) be the second derivative of -d**3/3 - d - 7716. Determine r(w(o)). 1812*o Let i(f) = -9*f**2. Let u(m) = -14*m - 420. Let b be u(-30). Let c(d) be the second derivative of -1/3*d**3 + b*d**2 + 5*d + 0. Calculate c(i(a)). 18*a**2 Let c(y) = -14*y - 1. Let i(z) = -32*z**2 + 56 + 5*z**2 - 56. Give c(i(r)). 378*r**2 - 1 Let f be ((-2)/6)/(-2*1/12). Let x(o) = 1 + 1 - 4*o**f - 2. Let y(p) = 7*p + 4. Let q(w) = -w - 1. Let s(m) = 4*q(m) + y(m). Calculate x(s(k)). -36*k**2 Let g(i) = 362*i + 63. Let v(p) = 181*p + 28. Let d(r) = 4*g(r) - 9*v(r). Let y(x) = -6*x**2. Calculate y(d(q)). -196566*q**2 Let i(m) be the first derivative of -m**2/2 - 5726. Let p(t) = -5823*t. Give p(i(w)). 5823*w Let b(g) = -7*g. Let x(u) = 754083*u**2 + 4*u - 1. What is x(b(o))? 36950067*o**2 - 28*o - 1 Let f = -95 + 148. Let g(t) = f*t**2 - 97*t**2 + 42*t**2. Let d(v) = -126*v. Determine g(d(m)). -31752*m**2 Let m(u) = 43*u. Let w(n) = -5020*n**2 + 2514*n**2 - 2*n + 2508*n**2 + 86 + 2*n. What is m(w(g))? 86*g**2 + 3698 Let x(y) = -52*y**2. Let v(d) be the third derivative of 7*d**4/8 - 13270*d**2. Give x(v(w)). -22932*w**2 Let h(r) = -389*r. Let o(a) = -141*a + 25. Let j(f) = -339*f + 60. Let y(b) = 5*j(b) - 12*o(b). Give h(y(u)). 1167*u Let g(s) = -s**2 - 96056. Let c(z) = 22*z**2. Determine g(c(h)). -484*h**4 - 96056 Let a = -536 - -543. Let t(x) = 0*x - 3*x + a*x + 132*x**2 - 4*x. Let z(m) = m**2. Calculate z(t(u)). 17424*u**4 Let l = -195 - -197. Let v(u) = 0 - 182*u - l + 235*u. Let j(a) = -2*a**2. Calculate v(j(h)). -106*h**2 - 2 Let m(u) be the second derivative of 7*u**4/4 + u**2 + 89*u - 33. Let o(t) = t - 3*t + 3*t. What is o(m(p))? 21*p**2 + 2 Let w(r) = -887761*r. Let q(j) = 62*j**2. What is w(q(t))? -55041182*t**2 Let h(f) = -4056*f**2 + 104*f. Let k(r) = 4*r. Give k(h(z)). -16224*z**2 + 416*z Let i(j) be the third derivative of 2243*j**4/24 + 426*j**2. Let w(c) = -c**2. Give i(w(f)). -2243*f**2 Let b(l) = 5*l**2. Let t(a) be the first derivative of -11*a**5/60 - 15*a**2/2 + 19. Let k(c) be the second derivative of t(c). What is k(b(f))? -275*f**4 Let r be (-21)/(-252)*12*(3 + (-2 - 1)). Let h(g) be the first derivative of 0*g**2 + 1/3*g**3 - 19 + r*g. Let u(j) = -j**2 + 40. Give u(h(y)). -y**4 + 40 Let r(f) = -21*f**2 + 2. Let o(t) = -t**3 - 2*t**2 + 4*t + 2. Let w be o(0). Let a(x) = 4*x**2 + w*x**2 - 7*x**2. Calculate a(r(n)). -441*n**4 + 84*n**2 - 4 Suppose 11 + 24 = 7*m. Suppose -m*v + 4 = -6. Let f(d) = v*d + 5017 - 5017. Let h(r) = 7*r. Determine h(f(o)). 14*o Let z(x) = -5*x. Let v(f) be the second derivative of f**7/168 + 13*f**4/12 - 5*f**2/2 + 230*f. Let n(q) be the third derivative of v(q). Calculate z(n(i)). -75*i**2 Let y(c) be the first derivative of -2*c**3/3 - 7. Let f(b) be the first derivative of -103*b**3/3 - 735. Determine y(f(o)). -21218*o**4 Let j(a) = 10*a**2. Let g(m) be the third derivative of 0*m**4 + 0*m**3 - 3*m**2 + 0*m - 16 - 1/15*m**5. Give j(g(t)). 160*t**4 Let v(h) = 8*h - 3. Let o(r) = 9*r + 56. Let z be o(-6). Let k(g) = 66*g**z - 33*g**2 - 32*g**2. What is k(v(c))? 64*c**2 - 48*c + 9 Let f(d) = -132*d. Let b(u) = 25*u. Let k(g) = -11*b(g) - 2*f(g). Let y(r) = 251*r**2 + 2*r. Calculate k(y(w)). -2761*w**2 - 22*w Let k(j) = 2*j - 4. Let g = -575 + 577. Let x(c) = c + 2. Let w(a) = g*x(a) + k(a). Let u(l) = -18*l. Determine u(w(b)). -72*b Let a(j) = -j + j + j + 0. Let q(y) be the second derivative of -41*y**4/12 - y**3/3 + 10451*y. What is q(a(c))? -41*c**2 - 2*c Let x(t) = 8*t**2. Let q(i) = -4401107*i. Calculate x(q(j)). 154957942603592*j**2 Let j(v) = -7*v + 2. Let o(l) = 2051*l**2 - 3*l - 4. Give j(o(y)). -14357*y**2 + 21*y + 30 Let z(i) be the first derivative of 2*i**3 + 2250. Let k(l) = -18*l. Determine k(z(u)). -108*u**2 Let c(t) = -18*t - 536*t**2 + 12 + 304*t**2 + 6*t. Let n(w) = -93*w**2 - 5*w + 5. Let z(v) = -5*c(v) + 12*n(v). Let x(s) = 3*s**2. Give z(x(h)). 396*h**4 Let n(b) = -b. Let a(w) = -w - 9103832. Determine a(n(f)). f - 9103832 Let t(r) = 17*r**2. Let c(i) be the third derivative of 0*i**3 + 0*i**4 - 7*i**2 + 0*i + 1/60*i**5 + 4. Give c(t(y)). 289*y**4 Let y(a) = -2*a**2. Let x(r) = 12176590*r. Calculate y(x(i)). -296538688056200*i**2 Let o(q) = 16*q. Let p(g) = 74485834*g**2. Give p(o(b)). 19068373504*b**2 Let r(n) be the first derivative of 3*n**2/2 - 2. Suppose -j + 5 = 2*o, 2*o - j - 5 = -o. Let u(v) = -4*v**o - 29*v + 58*v - 29*v. Calculate r(u(g)). -12*g**2 Let t(r) = 6*r - 7. Suppose -406 = 5*k + 139. Let j = k + 81. Let i(x) = -x + 1. Let b(g) = j*i(g) - 4*t(g). Let p(s) = 5*s. Determine b(p(l)). 20*l Let z(d) = d. Let s(q) = 110*q**2 + 816*q**2 - 315*q + 312*q. Calculate s(z(m)). 926*m**2 - 3*m Let j(a) = -a + 97 - 8*a - 32 - 33 - 29. Let b(u) = 4*u**2. What is j(b(o))? -36*o**2 + 3 Let n = 5 - 2. Let m(w) = -n*w - w + 6*w. Let t(k) be the first derivative of 4*k**3/3 + 3. Determine m(t(q)). 8*q**2 Let v(w) = w**2. Let s(a) = 16232*a**2 - 5*a + 25. Let m(i) = 13156038*i**2 - 4053*i + 20265. Let x(d) = 5*m(d) - 4053*s(d). Determine x(v(r)). -8106*r**4 Let a(f) = -f**2 + 36*f - 12. Let q(d) = -2*d**2 + 66*d - 22. Let r(y) = 11*a(y) - 6*q(y). Let c(u) = 55*u**2 - 7. Determine r(c(m)). 3025*m**4 - 770*m**2 + 49 Let m(n) = 20*n**2 + 3509*n + 29. Let f(s) = -2*s. What is m(f(a))? 80*a**2 - 7018*a + 29 Let
{ "pile_set_name": "DM Mathematics" }
st common divisor of 1104994641 and 606. 303 Calculate the highest common factor of 187398 and 13848066. 6462 What is the greatest common factor of 181436 and 208772? 268 What is the highest common factor of 7816452 and 35? 7 What is the highest common divisor of 1729 and 782795? 13 Calculate the greatest common divisor of 80963116 and 21685. 4337 What is the greatest common divisor of 261832 and 31096? 184 What is the greatest common divisor of 4201984 and 2830? 566 Calculate the highest common divisor of 189803640 and 117. 39 Calculate the greatest common divisor of 286 and 5954. 26 What is the highest common factor of 34184574 and 1926? 1926 Calculate the highest common factor of 59171 and 47169024. 749 Calculate the highest common divisor of 46906 and 43522. 94 Calculate the greatest common factor of 3244178 and 17544. 1462 Calculate the highest common factor of 1343 and 4667557. 79 Calculate the greatest common divisor of 9351892 and 2024. 1012 Calculate the greatest common factor of 1296020 and 1644. 548 What is the highest common factor of 20885164 and 4? 4 What is the highest common divisor of 579403907 and 1721? 1721 What is the highest common divisor of 682 and 18547903? 11 Calculate the highest common factor of 322594738 and 1004. 502 Calculate the highest common factor of 84 and 149914338. 42 Calculate the greatest common factor of 5389 and 232001839. 5389 Calculate the highest common factor of 179235 and 13167. 63 Calculate the highest common divisor of 2667 and 1166368. 889 What is the highest common divisor of 333 and 1530579? 111 What is the greatest common divisor of 1056 and 90552? 264 Calculate the greatest common divisor of 2607 and 2997489. 33 Calculate the greatest common factor of 6337047 and 118137. 2229 Calculate the highest common factor of 6342 and 77784. 42 What is the highest common divisor of 33649 and 2340800? 1463 What is the greatest common divisor of 7681098 and 102? 6 What is the greatest common factor of 170 and 4724606? 34 Calculate the highest common divisor of 1398824 and 56. 56 What is the highest common factor of 79280 and 136460? 20 What is the greatest common divisor of 286 and 15745301? 143 What is the highest common factor of 1859844 and 924? 84 Calculate the greatest common divisor of 7517683 and 208192. 3253 What is the highest common factor of 1071 and 2045389? 17 What is the highest common factor of 7056 and 2038302? 882 Calculate the greatest common factor of 9152 and 7257888. 352 What is the greatest common factor of 20237380 and 5400? 20 Calculate the highest common divisor of 1026146 and 3586. 22 Calculate the highest common factor of 2627086 and 5929. 539 Calculate the highest common divisor of 1 and 13332179. 1 What is the highest common divisor of 103090 and 88544170? 1690 What is the greatest common factor of 8673 and 29559? 177 Calculate the highest common divisor of 52521 and 13517112. 1281 Calculate the greatest common divisor of 738560 and 214840. 40 Calculate the greatest common divisor of 521079 and 2883. 93 What is the greatest common divisor of 85723260 and 40? 20 What is the highest common divisor of 3020262 and 4704? 294 What is the highest common divisor of 19270 and 197798842? 3854 Calculate the highest common factor of 4041701 and 319. 29 What is the greatest common factor of 8480 and 96566? 106 What is the greatest common divisor of 286 and 307579987? 143 Calculate the greatest common factor of 1225736694 and 734. 734 What is the highest common factor of 16633160 and 24? 8 What is the highest common factor of 11592 and 22832698? 322 Calculate the highest common divisor of 1179440 and 20780. 20 Calculate the greatest common divisor of 32856084 and 108. 108 Calculate the highest common divisor of 1338376 and 234. 26 Calculate the greatest common factor of 6636 and 31492244. 2212 Calculate the highest common factor of 7425 and 105725. 25 What is the greatest common divisor of 1435715 and 4343? 101 What is the greatest common divisor of 295 and 1123652345? 295 Calculate the greatest common factor of 93881 and 3364360. 349 Calculate the greatest common divisor of 119066 and 5155236. 3218 Calculate the highest common factor of 11583734 and 2. 2 Calculate the greatest common divisor of 98566927 and 95. 19 What is the highest common factor of 3701066 and 1699784? 2374 What is the greatest common factor of 7 and 1064539? 7 What is the greatest common factor of 70568550 and 405? 135 Calculate the greatest common divisor of 65771104 and 64. 32 What is the highest common factor of 1586 and 4701697? 793 What is the greatest common divisor of 9795 and 1050677? 653 Calculate the greatest common divisor of 19122904 and 178678. 4358 What is the greatest common divisor of 9053 and 1221803? 11 Calculate the highest common divisor of 264 and 17446. 22 Calculate the highest common factor of 6639032 and 376. 376 What is the highest common factor of 97237457 and 106? 53 What is the highest common divisor of 882 and 1003842? 126 What is the highest common factor of 360 and 13303140? 60 What is the highest common factor of 56350105 and 2660? 665 Calculate the highest common divisor of 1654097 and 135314. 2333 Calculate the greatest common divisor of 251690 and 48310. 10 What is the greatest common factor of 21120 and 9955? 55 Calculate the highest common divisor of 63 and 41739831. 63 Calculate the highest common divisor of 574 and 19476394. 574 What is the highest common divisor of 14449374 and 108? 54 What is the highest common factor of 73 and 697230227? 73 Calculate the greatest common divisor of 1269930795 and 210. 105 What is the greatest common divisor of 792 and 589864? 88 What is the greatest common factor of 61 and 81233029? 61 What is the highest common factor of 22 and 3394347? 11 Calculate the greatest common factor of 12409097 and 851. 37 What is the greatest common divisor of 1011512 and 103045? 557 Calculate the greatest common divisor of 256445 and 4609976. 3017 Calculate the greatest common factor of 156 and 2174136. 12 What is the highest common factor of 19934448 and 885? 177 What is the highest common factor of 38 and 65195327? 19 What is the highest common factor of 219 and 31679518? 73 What is the greatest common divisor of 1337767 and 5769? 641 What is the highest common divisor of 2876 and 154782006? 1438 What is the greatest common divisor of 10419 and 299886? 453 What is the highest common factor of 3489 and 23613? 3 Calculate the highest common factor of 272 and 15543066. 34 What is the highest common divisor of 15860 and 6005090? 130 Calculate the highest common divisor of 2740881 and 143. 143 Calculate the highest common factor of 148658 and 23422. 478 Calculate the highest common divisor of 76699 and 43757. 7 What is the highest common divisor of 113696082 and 54? 54 What is the greatest common factor of 29940 and 2460? 60 What is the greatest common divisor of 210955116 and 12? 12 What is the greatest common divisor of 38193 and 2792265? 87 What is the greatest common factor of 6066882 and 12? 6 Calculate the highest common divisor of 2335560 and 104. 8 Calculate the greatest common divisor of 2717140 and 320. 20 What is the highest common factor of 735353 and 841? 29 Calculate the greatest common divisor of 3376227 and 123. 123 Calculate the highest common divisor of 11833159 and 1052. 263 What is the greatest common factor of 283654664 and 2192? 1096 What is the highest common divisor of 1851789 and 998? 499 Calculate the greatest common divisor of 23781915 and 90. 45 Calculate the highest common divisor of 214817988 and 42. 42 Calculate the highest common divisor of 7483 and 31612. 7 Calculate the greatest common divisor of 125 and 14653425. 25 What is the highest common divisor of 60396912 and 144? 144 Calculate the highest common divisor of 19209530 and 14480. 1810 What is the highest common divisor of 2523620 and 2860? 220 Calculate the highest common divisor of 13095275 and 95. 95 What is the highest common divisor of 1068 and 718? 2 Calculate the greatest common divisor of 5376 and 94719296. 448 What is the greatest common divisor of 6024952 and 3537? 131 Calculate the highest common factor of 21898184 and 2156. 308 Calculate the highest common factor of
{ "pile_set_name": "DM Mathematics" }
**3 - 5*t**2 + 5. Calculate 296*p(u) - 5*r(u). 259*u**3 Let l(j) = 8*j**2 - 3*j - 5. Suppose -2*a + 24 = 22. Let h(w) = -w**2 + w + 1. Give a*l(b) + 6*h(b). 2*b**2 + 3*b + 1 Let s(m) = 2*m + 24. Let a(x) = -3*x - 1. Give a(r) + s(r). -r + 23 Let d(w) = -w**3 + 3*w**2 + w + 1. Let p(h) = 3*h**2 + h - 186. Determine 2*d(u) - 2*p(u). -2*u**3 + 374 Let x(z) = -11*z - 147. Let l(k) = -20*k - 295. What is 6*l(s) - 11*x(s)? s - 153 Let d(n) = -11*n**3 - 11*n**2 - 11*n. Let o(q) = -2*q**2 + 13*q + 11. Let k be o(8). Let r(g) = 5*g**3 + 5*g**2 + 5*g. What is k*r(x) - 6*d(x)? x**3 + x**2 + x Let v(i) = 8*i + 17. Let b(a) = 23*a + 52. Calculate -3*b(s) + 8*v(s). -5*s - 20 Let v(k) = -41 + 41 + 6*k. Let r(i) = 6*i. Determine 7*r(m) - 6*v(m). 6*m Let b(o) = -o**3 - 2*o - 5. Let p(u) = 2*u**3 + 3*u + 6. Suppose -3*z + 5*z = 0. Suppose z = 8*q - 6*q - 10. Suppose q*m - 5 = -25. Give m*b(f) - 3*p(f). -2*f**3 - f + 2 Suppose -3*y = -6*y + 39. Let p(d) = 7*d + 13 - y - 4*d. Let b(m) = -2*m + 3. Let v(w) = -4*w + 5. Let z(u) = 5*b(u) - 3*v(u). Determine 5*p(q) - 6*z(q). 3*q Let t(f) = 6*f**2 - 8*f + 5. Let c be (1 - -2)*(-16)/(-24). Suppose 0 = d - c*d + 3. Let o(y) = -2*y**2 + 3*y - 2. What is d*t(a) + 8*o(a)? 2*a**2 - 1 Let w(s) = -3*s**2 - 6*s + 4. Let o(c) = 13*c**2 - 117*c + 7. Let n be o(9). Let b(a) = -a**2 - 3*a + 2. What is n*b(p) - 3*w(p)? 2*p**2 - 3*p + 2 Let q(o) = 3*o + 2. Let t(s) = -s - 1. Let w(y) = q(y) + 2*t(y). Let j(k) = -7*k + 2. Let m = -48 - -49. Determine m*j(d) + 5*w(d). -2*d + 2 Let t(w) = -8. Let y(g) = 3*g**3 - 46*g**2 + 16*g - 17. Let k be y(15). Let v(o) = o - 8. Determine k*v(c) + 3*t(c). -2*c - 8 Let w = 332 + -333. Let h(f) = 10*f**3 - 5. Let t(u) = -u**3 + 1. Calculate w*h(i) - 5*t(i). -5*i**3 Let j(l) = -27812*l + 409. Let k(t) = 409*t - 6. Determine -6*j(d) - 409*k(d). -409*d Suppose 30 - 12 = -6*x. Let a(r) = -9*r**3 - 4*r**2 + 3*r. Let t(i) = i**3 + i**2 - i. Determine x*t(d) - a(d). 6*d**3 + d**2 Let t(h) = h - 1. Let f(i) = -2*i - 44. Determine f(x) + 3*t(x). x - 47 Let h = 1017 - 1021. Let a(s) = -8*s - 10. Let c(b) = -7*b - 9. Determine h*a(n) + 5*c(n). -3*n - 5 Let j(g) = -2*g**3 - 10*g**2 - 4*g + 4. Let w(u) = u**3 + u**2 - 1. What is -j(l) - 4*w(l)? -2*l**3 + 6*l**2 + 4*l Let u(n) be the second derivative of -n**4/6 - n**3/2 - 11*n**2/2 + 2*n. Let r(m) be the first derivative of u(m). Let l(h) = -5*h - 4. What is 5*l(w) - 6*r(w)? -w - 2 Let k(o) = -583*o**2 - 6*o + 6. Let r(g) = -582*g**2 - 5*g + 5. Determine 5*k(f) - 6*r(f). 577*f**2 Let v(h) = 17*h**3 - 54*h + 8. Let r(z) = 6*z**3 - 18*z + 3. What is 11*r(q) - 4*v(q)? -2*q**3 + 18*q + 1 Let w(a) = -a**2 + 4*a + 39. Let x(f) = -4*f**2 + 17*f + 156. Give -9*w(g) + 2*x(g). g**2 - 2*g - 39 Let u(l) = 3*l**2. Suppose -q + 5 = y, -41 = -5*y + 2*q - 3*q. Let g(z) = z - 26*z**2 + 49*z**2 - 24*z**2 - z. Determine y*g(p) + 2*u(p). -3*p**2 Let m(g) = -2*g - 18. Let t be m(-8). Let q(a) be the second derivative of 2*a**3/3 + 2*a**2 + 12*a. Let l(h) = h + 1. Give t*q(d) + 6*l(d). -2*d - 2 Let f be -10*5/(-4 + -6). Let v(h) = -2*h + 9*h**3 + 0*h - f*h**3 - 3*h**3. Let d(s) = -5*s**3 + 11*s. What is 6*d(r) + 33*v(r)? 3*r**3 Let q = 16 + -11. Let x(h) = -71*h + 0 + 65*h - q. Let i(p) = -4*p - 3. Calculate 8*i(k) - 5*x(k). -2*k + 1 Let g = -10 + 24. Let w(b) = -4*b**2 + 3*b. Let d be -2 - (1 + -1 + -8). Let r(x) = -x - 7*x + 9*x**2 + x. Give d*r(y) + g*w(y). -2*y**2 Let i(y) = 4*y. Let j(c) = -3*c. Suppose -o + 4*o = 12. Suppose 784*h - 785*h = -5. Determine h*j(k) + o*i(k). k Suppose 4*s + 5*r = 3*r + 30, -5*r + 33 = 3*s. Let o(b) = -5*b**3 - 6*b. Let u(m) = -15*m**3 - 17*m. What is s*u(j) - 17*o(j)? -5*j**3 Let d(m) = 192764*m**2 + 858. Let v(n) = -1124*n**2 - 5. Give 5*d(s) + 858*v(s). -572*s**2 Let f(d) = -d - 1. Let r(z) = 5*z + 2. Let n(k) = 41*k - 409. Let i be n(10). What is i*r(g) + 3*f(g)? 2*g - 1 Suppose 10*x - 5*x - 15 = 0. Suppose -f = -2*i + 14, -x*i + 24 = -3*f + f. Let g(b) = -b**3 - 4*b**2 + 6*b - 1. Let a(z) = -z**2 + z. Calculate f*a(d) + g(d). -d**3 + 2*d**2 - 1 Let a(o) = 9*o. Suppose 7*d + 18 = -c + 8*d, 0 = -3*c - 5*d - 30. Let z(k) = -4*k. Calculate c*z(v) - 6*a(v). 6*v Let t(n) = 79*n. Let j(b) = 79*b. Give 5*j(m) - 4*t(m). 79*m Let s(y) = 6*y**3 + 3*y**2 + 3*y. Let b(g) = g**2 + g. Suppose -5*a - 29 = -m, 272*a - 271*a = -4*m - 10. Calculate a*b(z) + 2*s(z). 12*z**3 Let o(a) = -4*a**3 - 4*a**2. Let y(c) = -133*c**3 + 26*c**2 + 8*c**2 - 21*c**2 + 146*c**3. What is 14*o(q) + 4*y(q)? -4*q**3 - 4*q**2 Let l be -1 + 2 - (0 + -2). Let a = 5 + 5. Suppose -l*o + o = -a. Let j(i) = -3*i**2 - i + 4. Let y(s) = 4*s**2 + s - 6. Determine o*y(k) + 7*j(k). -k**2 - 2*k - 2 Let k(c) = 4*c**3. Let s(p) = 24*p**3 + 2*p + 4. Determine -5*k(m) + s(m). 4*m**3 + 2*m + 4 Let u(j) = 25*j**2 + 2*j - 3. Let x(n) = 25*n**2 + n - 2. Determine -3*u(f) + 4*x(f). 25*f**2 - 2*f + 1 Let b(c) = -6*c**3 - 21*c**2 + 10*c + 9. Let i(d) = -d**3 - 2*d**2 + d + 1. Calculate -2*b(g) + 18*i(g). -6*g**3 + 6*g**2 - 2*g Let x be (-8 - -3) + 28/7. Let h(w) = -2*w**3 - w**2 + 3. Let g(l) = l**3 + l**2 - 1. What is x*h(s) - 3*g(s)? -s**3 - 2*s**2 Let n(w) = 15*w**2 - 6*w**2 - 9*w**2 - w + 3 - 7*w**2. Let s(p) = 8*p**2 + p - 4. Suppose 72*c = 77*c - 30. Determine c*n(z) + 5*s(z). -2*z**2 - z - 2 Let w(f) = 220*f**2 - 1240*f - 100. Let z(n) = 13*n**2 - 73*n - 6. What is 3*w(b) - 50*z(b)? 10*b**2 - 70*b Let m(a) = a**2 - 5. Let x(s) = -s**2 + 6. Suppose 13 = 2*u - 8*t + 3*t, 3*u + 38 = -4*t. Calculate u*m(k) - 5*x(k). -k**2 Let l(a) = -a**2. Let f(y) = 6*y**2 + 9. Let b be -3*(7 - 6) + 10/5. Calculate b*f(k) - 4*l(k). -2*k**2 - 9 Let s(r) = -5*r**2 + 9. Let m(z) = -z**2 - 8*z. Let c(h) = 2*h**2 + 20*h + 1. Let w(i) = 2*c(i) + 5*m(i). Give 2*s(x) - 9*w(x). -x**2 Let z(o) = 3*o. Let l(w) = 44*w. What is l(r) + 6*z(r)? 62*r Let z(q) = -q**2 + 2. Let i(w) be the first derivative of -2 + 0*w**2 - 1/3*w**3 + 0*w. Suppose -2*k - 3*k + 5 = 0. Calculate k*i(v) + z(v). -2*v**2 + 2 Let s(t) = 3*t**2 + 4*t - 4. Let y(m) = -18*m - 3*m**2 + 3 + 52*m - 37*m. Calculate 3*s(o) + 4*y(o). -3*o**2 Let h(t) = -t**3 - 5*t**2 + 6*t + 2. Let o(y) = 4*y**3 + 6*y**2 - 4*y - 2. Let i(s) = s**3 + s. Let n(a) = -3*i(a) + o(a). Calculate -6*h(q) - 5*n(q). q**3 - q - 2 Let z(u) = 4*u**3. Let w be 14/(-6) - 2/(-6). Let x(c) = -5*c**3. Let a(y) = 58*y - 641. Let k be a(11). Determine k*z(q) + w*x(q). -2*q**3 Let c(n) = 14*n**2 + 47*n - 58. Let h(j) = 5*j**2 + 16*j - 20. Give 6*c(k) - 17*h(k). -k**2 + 10*k - 8 Let f(w) = -16*w**2 + 1009*w. Let h(m) = -3*m**2 + 200*m. Calculate 4*f(d) - 22*h(d). 2*d**2 - 364*d Let g(h) = -14668*h**3 + 193*h**2 - 193*h. Let o(z) = -381*z**3 + 5*z**2 - 5*z. Give -5*g(p) + 193*o(p). -193*p**3 Let h(l) be the first derivative of -l**2 + 4*l + 7. Let z(s) = -6*s + 11. Let o(r) = 7*r - 12. Let y(b) = 3*o(b) + 4*z(b). Determine -5*h(a) + 3*y(a). a + 4 Let f(u) = 11*u**3 + 9*u**2 - 12*u - 6. Let a(r) = -r**2 + 3*r + 1. Determine 4*a(x) + f(x). 11*x**3 + 5*x**2 - 2 Let y(l) = -3*l**3 - 5*l**2 - 5*l - 63. Let i(r) = -r**3 - 2*r**2 - 2*r - 31. Give -5*i(x) + 2*y(x). -x**3 + 29 Let n(v) = -3*v + 6. Let z be (1*-5)/((-28)/(-28)). Let p(j) = 3*j - 5. What is z*p(t) - 4*n(t)? -3*t + 1 Let y(p) = -p**2 + p - 1. Let f(l) be the first derivative of -2*l**3 + 3*l**2 - 4*l + 169. What is f(j) - 4*y(j)? -2*j**2 + 2*j Let c be (-1)/2 + (-2)/4. Let n(w) = 3*w**2 - 2*w + 2. Let l(q) = -q. Let t = -52 + 54. Determine c*n(f) + t*l(f). -3*f**2 - 2 Let a(d) = -10*d**2 + 6*d + 76. Let k(s) = -2*s**2 + s + 15. What is -3*a(y) + 16*k(y)? -2*y**2 - 2*y + 12 Let q(f) = -f + 8. Suppose -4*l - 16 = 0, 0 = -2*s - 3*s + l + 154. Let z = s - 19. Let v(i) = 2*i - 15. Determine z*q(j) + 6*v(j). j - 2 Let s(k) = 2*k**3 + 25*k**2 - 7*k + 4. Let g(t) = -t**3 - 13*t**2 + 3*t - 2. Calculate 7*g(f) + 3*s(f). -f**3 - 16*f**2 - 2 Let v(h) = h**3 + h**2. Let u(g) = g**3 - 13*g**2 - 23*g - 3. Let l(c) = -u(c) + 4*v(c). Let y(m) = m**3 + 6*m**2 + 8*m + 1. Calculate -6*l(j) + 17*y(j). -j**3 - 2*j - 1 Let a be 6/6*(-1 + 1). Let p be a*(-2)/4 - 3. Let n(b) = -1. Let x(k) = -1. Let m(s) = -3*n(s) + 4*x(s). Let f(t) = -t + 2. Give p*m(v) - 2*f(v). 2*v - 1 Let h be (20/(-35))/(2/(-14)). Suppose h*k + 14 - 38 = 0. Let g(a) = 4*a + 3. Let p(t) = t. Determine k*
{ "pile_set_name": "DM Mathematics" }
m + 20. Solve t + n*t + 25 = 0 for t. -5 Suppose p = 3*p + 2*c - 16, -5*p - 3*c + 32 = 0. Suppose -3*r + 0*b - p = 2*b, 4*b = 4*r - 28. Suppose r*q - 15 = -3*q. Solve -w - q*w - 16 = 0 for w. -4 Let a be 116/16 - 3 - (-2)/(-8). Solve 6*m - a*m - 2 = 0 for m. 1 Suppose r - 3*r = -k - 6, 2*r = 3*k - 2. Solve k*c = 2*c for c. 0 Suppose n - 12*n + 66 = 0. Solve 5*d + 14 + n = 0 for d. -4 Suppose 8 = 5*w - 3*w. Suppose -w = r - 4. Solve -5*v + 0 - 5 = r for v. -1 Let z(x) = x**3 - 7*x**2 + 8*x + 13. Let b be z(5). Solve 11 = -b*g - 1 for g. -4 Let d(s) = 10 + 21 - 5 - 3*s. Let t be d(7). Solve -2*u - t = -7*u for u. 1 Suppose 16 + 29 = 3*h. Suppose 12*q - h*q = -9. Suppose 5*z = -q*x - 10 + 41, -z + x + 3 = 0. Solve -2*s + z = -3 for s. 4 Suppose 42 = 5*i - 43. Let b = i + -10. Solve 0 = -5*j + b + 3 for j. 2 Suppose j - 30 = -5*r + 21, 4*r - 45 = -5*j. Solve 16*x = 18*x + r for x. -5 Let j(d) = 9*d - 24. Let z be j(3). Solve -8*w + z*w = 0 for w. 0 Suppose -2*w = -2*v + 6, 2*v + 0*w = -4*w + 6. Let j = -1 + v. Suppose -5*b = 5*c, 4*c - 18 = -5*b + 8*c. Solve b*r = -j*r for r. 0 Suppose 52*i = 19*i + 198. Solve 2*a = -i*a + 8 for a. 1 Let l be (-87)/(-9) + ((-20)/12)/(-5). Suppose -b + 5*m = l*m - 14, 2*m = 4*b - 12. Suppose 5*s + 2 = 4*d + 7, 0 = 2*s - 2. Solve 4*p + 0 - b = d for p. 1 Let i be 1/3 + 0 + (-416)/(-39). Solve 0 = 4*b + 9 + i for b. -5 Suppose 3*g - 4*z + 11 = 0, -g + z - 92 = -90. Let p be (2 - (-10)/(-4))*0. Solve o - 2*o + g = p for o. 3 Suppose q + 0 + 8 = -i, 0 = 5*i - 2*q + 26. Let n be ((-2)/i)/((-2)/(-24)). Solve j = -n*j for j. 0 Let d be (-5372)/(-442) - (11/(-13) - -1). Let t(s) = s**3 - 5*s**2 + s + 4. Let l be t(4). Let q = d - l. Solve r + 3*r = -q for r. -5 Let x(j) = -j**2 - 6*j + 25. Let g be x(-8). Solve u - 10 = -g for u. 1 Suppose 2*v = 4*v. Let b be ((-72)/30)/(24/(-40)). Solve v = -b*m - m for m. 0 Let t = 170 + -156. Solve -u - 15 = -t for u. -1 Let p(t) = -t**3 - 3*t**2 - 4*t - 3. Let k be p(-2). Let g(f) = 2*f - 10. Let b be g(6). Solve -b*j + 11 = k for j. 5 Let d = -882 + 882. Solve d = -i - 2*i + 3 for i. 1 Suppose -6*u = -4*u + 8. Let a be (8/6)/(u/(-6)). Solve -10 = -4*w + a*w for w. 5 Let x(c) = c**3 + 6*c**2 - c - 3. Let i be x(-6). Suppose -2*g = -5*d + 26, -4 = -2*d + 2*g + 10. Solve d - 1 = i*s for s. 1 Suppose 291*y = 287*y + 28. Solve 0 = 3*m - y*m + 20 for m. 5 Suppose 0 = 4*o + 16, -5*a + 4*o = -o - 60. Solve -2*r = -0*r + a for r. -4 Let q(y) = y + 24. Let c be q(-22). Suppose -3*o = c*o - 25. Solve -o = -4*f + 3 for f. 2 Suppose -7*x + 4*x = 0. Suppose -4*p + 0*p + 8 = x. Solve -b + p = -3*b for b. -1 Let b = 11 - 7. Suppose b*x - 2*j = 78, -3*x + 38 = -5*j - 24. Suppose -x = -3*s - 3*t - 1, t = 2*s - 6. Solve 0*k = s*k - 16 for k. 4 Suppose 9 = m + 4. Suppose -6 + 3 = -3*d + b, 0 = -m*d - 2*b + 16. Solve 0 = -d*z - 2*z for z. 0 Let m(u) = u**3 + u**2 - 2*u + 4. Let b be m(0). Solve -z - b + 5 = 0 for z. 1 Let b(q) = 2*q**3 + 15*q**2 + 9*q + 17. Let r be b(-7). Let y be (-10)/4*(-16)/20. Solve 0 = r*p + 1 + y for p. -1 Suppose -3*m = -2*s + 9, -5*m - 39 = -24. Solve g - 4 + 0 = s for g. 4 Let q = 51 - 30. Let p = -16 + q. Solve 1 = -2*b + p for b. 2 Let a = 7 + -11. Let s be -16 + (a/(-4) - -2). Let b = 15 + s. Solve -w = -b*w + 4 for w. 4 Let n be (-20 + 132*20/120)/((-2)/(-3)). Let r(k) = k**3 + 3*k**2 - 2*k - 3. Let b be r(-2). Let m = b + -2. Solve n*t - m = 6 for t. 3 Suppose -r - r = -56. Let b = r - 10. Suppose 2*g - 2*c = 20, 0 = g - 5*c - 0*c - b. Solve -5*u - g = -u for u. -2 Suppose -3*t - 2*f + f = -35, 5*t = -4*f + 56. Suppose o - 17 = 2*h - 5*h, o - 12 = -2*h. Solve k - t = h*k for k. -3 Let p(l) = -l**3 - 8*l**2 + 4*l + 12. Let c be p(-8). Let v = -20 - c. Solve 4*u - u = v for u. 0 Suppose -2 = -2*k - 0. Let c(n) = 2*n**2 + 2*n. Let p be c(-4). Suppose 3*j = o + 2*o - p, 4*o + 3*j = -3. Solve o*i + k = 7 for i. 2 Suppose 4*k - 3*j - 5 = 0, -3*k - 5*j = -3*j + 9. Let m be -2*8/(-3 + k). Solve -r + m*r - 9 = 0 for r. 3 Let b = 66 - 18. Let k = b + -43. Solve -14 + k = -3*x for x. 3 Let s(k) = -k**3 - 9*k**2 + k + 9. Let f be -2 - -1 - (1 + -5). Suppose 4*z + 3*q + 39 = 0, -z = -5*q + 7 - f. Let m be s(z). Solve m = 2*d + 10 for d. -5 Let p = 18 + -16. Suppose s = -p*b - 3, 12 = 2*s - b + 3. Solve 0 = q - s*q for q. 0 Suppose 5*w - 4*y + 10 = 0, -5*w + 5 = -5*y + 4*y. Solve w = u - 3 for u. 5 Let g(k) = k - 3. Let o be 1 - (12 + 0 + 3). Let f = o + 24. Let i be g(f). Solve 8 = -i*r + 3*r for r. -2 Suppose 10*i = -5*i + 90. Solve -5*f - 11 = -i for f. -1 Suppose 0 = -7*z + 24*z - 34. Solve 74 - 70 = z*l for l. 2 Let w = -17 + 22. Suppose 0 = 5*f + c - 60, 5*f - c = -4*c + 60. Let z be (f + -8)*(0 - -1). Solve -29 = w*u - z for u. -5 Let u(x) = x**3 + 48*x**2 - 101*x - 29. Let s be u(-50). Solve p + s = 26 for p. 5 Let y(r) = -38*r + 156. Let m be y(4). Solve -m*n - 24 = -16 for n. -2 Let d(o) = o**3 - 5*o**2 + 4*o. Let b be d(4). Let j be 3 - (3 + b - 4). Suppose 2*i - 4*i + j = 0. Solve i*n = -n - 9 for n. -3 Let y be 5*(-114)/(-30) - (5 + -6). Solve 0 = y*f - 7 - 13 for f. 1 Let w be (-17)/(-5) - (-4)/(-10). Let t be 20/270 + (-399)/(-81). Let m be (w - 0)*t/3. Solve -5*y + 10 = -m for y. 3 Suppose 3*l - 7*l - 44 = -2*b, 0 = 2*b + l - 19. Suppose -4*w + 3*a = -3 - 6, -b = -w + 4*a. Solve 2*v + v = w for v. 0 Let c(h) = -h**2 + 20*h - 47. Let y be c(17). Let w = -2 + 4. Suppose 4*n - 4 = y*x, -4*n = -w*x - 3*x - 4. Solve 0 = -o - 4 + n for o. -3 Let x(d) = -2*d**2 + 34*d - 13. Let g be x(16). Solve 4*m + g = 3 for m. -4 Let q = 9 - 5. Suppose q*i = -3*h + 20, 0 = -5*i + 2*i - 4*h + 22. Solve -2 = v - i*v for v. 2 Let q = -95 - -62. Let u = q - -33. Solve w = -u*w - 2 for w. -2 Let p = -9 - -41. Let g = -727 + 757. Let z = p - g. Solve z*i - 7*i = 0 for i. 0 Let c be 0 + -3 + 4/2 + 2. Suppose 2*l = -3*l - 2*r + 15, -4*r - 9 = -3*l. Solve -i + c - l = 0 for i. -2 Let d be 0 + 5*(6/15 - 0). Let r be 14 + -9 - 2/d. Solve r*j + 4 = -8 for j. -3 Let m(v) = -v**3 - 5*v**2 - 6*v - 6. Let u be m(-4). Let a(f) = -2 + f**u + 2 + 4*f + 3 + 3. Let r be a(-3). Solve r*h + 4 + 5 = 0 for h. -3 Suppose 5*j + 148 = 378. Suppose j = 3*y - 29. Solve -9*h + 4*h = y for h. -5 Suppose -12 = -3*g - g, -2*g + 81 = -5*a. Let t = a - -19. Solve -t*m = -11 - 9 for m. 5 Let g(q) = -q**3 + 4*q**2 + 4*q + 7. Let b be g(5). Suppose -b*i = 3*i - 70. Solve 4 = -2*a + i for a. 5 Let h be 2/(-3)*1710/(-76). Solve -8*b = -h*b - 28 for b. -4 Let v(g) = -g**2 - 4*g + 32. Let s be v(-8). Solve 10*c - 11*c + 5 = s for c. 5 Suppose -7*a + 164 = 101. Solve a*p - 7 = 16*p for p. -1 Let z(u) = 102*u + 204. Let i be z(-2). Solve i = -9*s + 3*s + 24 for s. 4 Let l(p) = -p**2 - 3*p + 31. Let s be l(-7). Suppose 4*y - 4*g - 24 = -g, -s*g + 12 = 0. Solve -5*b = -1 - y for b. 2 Let w = -30 + 49. Let i = w - 16. Solve 0 = 2*d + i*d - 10 for d. 2 Let v(j) = -j**2 - 14*j - 38. Let b be v(-9). Solve 4*s - b = 5 for s. 3 Suppose 26*y - 15*y = 165. Solve c - y = -2*c for c. 5 Let j(y) = -y. Let f(v) = -v. Let p(o) = -5*f(o) + 6*j(o). Let u be p(-12). Suppose t - u = -t. Solve x + t = -x for x. -3 Let y be (-15 - (1 - 16))*(0 - -1). Solve 15*j - j + 28 = y for j. -2 Let t = -177 + 177. Let l(v) = -v**2 + v - 4. Let q(x) = 5*x**2 - 5*x + 19. Let i(k) = -11*l(k) - 2*q(k). Let d be i(t). Solve -o = -d*o - 15 for o. -3 Let v(m) = -4*m**2 - 6*m. Let k be v(-1). Solve -k*j + 3*j = 2*j for j. 0 Suppose 5*z = 3*z + 3*i + 9, 0 = 2*i - 2. Solve -z*n = -29 - 1 for n. 5 Suppose 58 = -w + 5*w - 2*j, j - 1 = 0. Suppose p = -5*y + 33, 2 - 5 = -p. Let r be (-4 - (3 - 3)) + y. Solve w = -3*z - r*z for z. -3 Suppose -4*d = 4*a + 4, -3 = 5*a + 3*d - 0. Suppose a = 21*r - 14*r. Solve t - 6*t + 15 = r for t. 3 Let v be (10 - 7 - 4)*-1. Solve -v + 6 = -b for b. -5 Let j be (38 - 39)*(-45 + -4). Solve 27 = j*g - 40*g for g. 3 Let l be (-40)/25*60/8. Let n = -30 - l. Let j be 6/(-4)*120/n. Solve 6 + j = 4*y for y. 4 Let u(n) = -n**3 + 9*n**2 + 2. Let q be u(9). Let x = q - -2. Let o(p) = p**2 - 6*p + 11. Let l be o(x). Solve -2 - 4 = -l*g for g. 2 Let q(a) = -4*a + 12. Let s be q(5). Let j be (-2)/(-4)*(s - -12). Solve 4*w - 14 = j for w. 4 Let r = 539 - 531. Solve 0 = -6*k + 2 - r for k. -1 Suppose -29*z = -34*z + 2*q, 3*q = 3*z. Solve 8*a = -0 - z for a.
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of g**4/12 + g**3 - g**2. Let v be d(6). Suppose -v = -y + 4. Is y composite? True Let y = 3 + 1. Suppose y*w - 4*r + 4 = 7*w, -3*w - 4 = -4*r. Suppose -8*j + 6*j + 106 = w. Is j prime? True Let c = 6 + -5. Let z be 4/(-4) + 57/c. Let a = -17 + z. Is a composite? True Let h = -465 - -20. Let y = 102 - h. Is y a prime number? True Suppose -2*q - 3*q + 259 = 4*o, -q - o = -52. Let v = 6 + q. Is v prime? False Let m be (1 - 3)*1/(-2). Let l = -1 + m. Suppose -4*s + 185 + 35 = l. Is s composite? True Let b(i) = -i**2 - 8*i - 7. Suppose -6*w - 28 = -2*w. Let m be b(w). Is 1 + (217 - (1 - m)) prime? False Let m(q) = q. Let p be m(0). Let w = -6 + 5. Is p - (w - 58)*1 a composite number? False Let x = 156 + 54. Suppose x = -s - 4*s - 5*h, 0 = -2*s - 5*h - 93. Is 4398/26 + 6/s a prime number? False Let y(l) = 3*l**3 + 7*l**2 - 7*l + 1. Let j be y(7). Let g = -400 + 664. Suppose g = -4*r + j. Is r a prime number? False Suppose 6*v - 4494 = 3*v + 3*z, v - 2*z - 1497 = 0. Is v prime? True Let j = 46 + -26. Let x = -13 + j. Is x a composite number? False Let u(q) = -29*q + 4. Let i = 10 - 16. Is u(i) prime? False Let z(k) be the first derivative of -k**5/20 - k**4/4 - k**3/6 + 2*k**2 - 4*k - 2. Let a(b) be the first derivative of z(b). Is a(-5) prime? True Let a = -4 + 7. Suppose -213 = -a*c - 0*c. Is c a prime number? True Let s be (-4)/(-10) - 3365/(-25). Suppose 5*r = -5*q + s, -36 = -4*q - r + 57. Is q prime? False Let c(o) = -1. Let x(l) = -10*l - 4. Let b(z) = 3*c(z) + x(z). Is b(-4) a prime number? False Let f = -2933 + 4570. Is f a prime number? True Suppose -3*f + 16 = f. Suppose 0*m + 2*m + 444 = f*c, -2*m + 8 = 0. Is c a composite number? False Let z be (3 - 4)/((-3)/6). Suppose z*s - s = 251. Is s a prime number? True Let p be (12/(-9))/((-2)/3). Suppose c - 573 = -p*c. Let n = c + -122. Is n a composite number? True Let q be 2 - (96*-1 + 2). Let y = 211 - q. Suppose -4*k + 97 = -y. Is k composite? False Suppose -5*u + 23 = -7. Suppose -2*i + u = -2*r, i = -i + 5*r + 6. Is i a composite number? False Suppose -5 = -4*o + 15. Let k be 5/(75/(-6))*o. Is k/(-3)*9 - -1 a composite number? False Suppose 5*z + 41 - 11 = 0. Let v be z/(-21) - 12/(-7). Suppose -30 = -v*j - 0*j. Is j composite? True Suppose -7*j - 618 = -10*j. Is j a composite number? True Let y = 3 + -6. Is y/4 + (-413)/(-28) prime? False Let y(x) = -x**2 - 4*x + 2. Let a be y(-3). Suppose a*w = -5*b + 2*b - 10280, -4*w = -20. Is (-4)/18 + b/(-27) a composite number? False Suppose 3*o - 17 = 7. Is -4*31*(-4)/o a prime number? False Let k = 8 - 11. Let n = k + 6. Suppose o = q + 8, -5*o - n*q + 31 = -1. Is o prime? True Let v be 373*2*3/6. Let n = -169 + v. Let q = -127 + n. Is q a composite number? True Let i(p) = 31*p - 46. Is i(17) a prime number? False Let t(g) = -g**2 - 9*g - 6. Let l be t(-8). Suppose -l*d + 6*d - 284 = 0. Is d prime? True Suppose -60 = -4*z - 3*d, -z + 5*d + 92 = 3*z. Let c = -11 + z. Is c a prime number? True Let p(x) = 2*x**2 - 13*x + 18. Is p(5) prime? True Let f(i) = i**3 - i**2 + i - 1. Let s(m) = -m**3 + 9*m**2 - 11*m - 8. Let q(h) = 2*f(h) + s(h). Let c(o) = -2*o**2 - 3*o + 2. Let x be c(-3). Is q(x) composite? False Suppose -12 = -3*s + 3*i, -2*i - 1 - 3 = 2*s. Let n = -4 + s. Is (-110)/n + (-3)/(-9) composite? False Let s = 29 + -17. Is 2/(-12) - (-2534)/s prime? True Suppose 3*l - 70 = 5. Is l prime? False Let d(z) = 6*z**2 + 3*z + 3. Let u(f) = f**3 - 5*f**2 + 3*f. Let c be u(4). Is d(c) a prime number? False Let j(h) = 93*h**2 - h + 1. Is j(2) composite? True Let b = -596 + 1653. Is b a prime number? False Let k = -6 - -12. Let x = k - 0. Is x a prime number? False Let i = -9 - -6. Let w(k) = k**3 + k**2 + 3*k + 4. Let y be w(i). Let f = -12 - y. Is f a composite number? False Suppose 2*s + 4 = 3*z - 0, -4*z + 11 = 3*s. Let b be (-5)/(-2)*5*10. Suppose z*m - 115 = -p, -2*m - 2*p + b = p. Is m a prime number? False Let f = 2759 - 1476. Is f composite? False Is (-366)/(-4) - 7/14 a composite number? True Let k(n) = -6*n**3 + 2*n**2 - 1. Let m be k(-1). Suppose -p - 12 = m. Let x = p + 34. Is x prime? False Let g = 38 - 64. Let m = -3 - -2. Is g/(m/(-3) - 1) prime? False Let n = -53 + 76. Let o be 10/4*16/20. Suppose n = -j + o*j. Is j a prime number? True Let k = 3 - 5. Is 43/k*(-6)/3 composite? False Suppose 5*m = -0*m + 15, 4*m + 12643 = 5*p. Is p a composite number? False Let h be (2/1)/((-2)/(-3)). Suppose -h*a = 49 - 214. Suppose 4*g - a = -g. Is g composite? False Let f(k) = -k**2 + 6*k + 3. Let x be f(6). Suppose -3*n + 34 = 3*t - 41, 5*n - 117 = -x*t. Suppose 0 = -i + n + 68. Is i a composite number? False Let j be (-7 - 1/(-1)) + 2. Let l be ((-12)/(-18))/(j/6). Is 31*l*(1 - 3) prime? False Let f = -2 + 19. Let x = f - 28. Is 1/(-1) - x - -1 prime? True Let m(n) be the second derivative of n**4/12 - 5*n**3/6 + n**2/2 - 5*n. Suppose 0 = x + 3*t - 5, -5*x = -0*t - t + 23. Is m(x) prime? True Let d(n) = 116*n - 49. Is d(9) a prime number? False Let c(j) = 4*j**3 - 13*j**2 - 13*j - 1. Is c(10) composite? True Suppose v - 2 = 2. Suppose -v*o + 0*t + 309 = -5*t, 2*o = -5*t + 117. Is o composite? False Suppose -k = -630 - 991. Is k a composite number? False Suppose -2*p - 2*g + 144 = 10, 4*p - 262 = -2*g. Suppose -2*u + 3*u = -15. Let i = p + u. Is i a composite number? True Let b = -20 + 17. Let p = 17 + -5. Let u = b + p. Is u prime? False Suppose 4*p = 224 + 404. Is p a composite number? False Suppose 3*l = 3*f + 42, 4*f + 2 = -l + 6. Let q = 64 - l. Let z = q - 29. Is z prime? True Is (-2*5/20)/(2/(-5996)) a prime number? True Let k(f) = f**3 - 8*f**2 - 7*f - 3. Suppose 2*u + 0*u = 5*w + 40, -2*u = 4*w - 4. Is k(u) a prime number? True Suppose -5*z + 38 = j, -2*j + 5*z + 78 = -j. Is j a composite number? True Let t = 14 - -32. Is t composite? True Let z be (-9)/(-3)*39/9. Let j = z + -9. Suppose k - 345 = -j*k. Is k composite? True Let t = -185 + 364. Let m = 292 - t. Is m a composite number? False Let r(v) = -v. Let y be r(-5). Let g = -20 - 6. Let d = y - g. Is d prime? True Is (6/(-10))/((-1)/85) composite? True Let g = 1750 + -1001. Is g a prime number? False Let d(v) = v**3 - v. Suppose 3*l + 0*m - 4 = -m, -3*l = -5*m - 16. Let x be d(l). Let g(p) = -p**3 + 6*p**2 + 2*p - 1. Is g(x) a composite number? False Let k be (3/12)/(3/24). Suppose 654 = 2*u - 2*j, -j - k*j = -4*u + 1310. Is u composite? True Let b be 8 + 0 - (6 + -4). Suppose -b*h + 5 = -h. Is (0 - (2 - h)) + 14 a prime number? True Let d = -179 + 338. Is d a composite number? True Suppose -3*a + 1117 = 214. Is a composite? True Is 5918/12 + ((-36)/6)/36 a composite number? True Let y(q) = -q**3 - 8*q**2 + 7*q + 11. Let j be (-2)/(2 + (-36)/15). Let u be j/(-6)*-3*-4. Is y(u) prime? False Let u(y) = y**2 + 1909. Is u(0) composite? True Suppose -h = 4*h + 10, 4*q + 4*h - 1340 = 0. Is q a prime number? True Let c = 18 - 15. Suppose 5*q - d + 3*d = 1681, c*q - d - 1002 = 0. Is q a composite number? True Let w(m) = -m**2 - 10*m - 4. Let h be w(-7). Let i = 199 + h. Let l = -105 + i. Is l prime? False Let r = 232 - 126. Suppose 0 = -2*k + 2*h + r, -2*k - 2*k + 194 = 5*h. Is k a prime number? False Let v = -1317 + 2678. Is v a composite number? False Suppose -m = 4*m - 4445. Is m a composite number? True Let o(u) = -u**2 - 6*u + 5. Let b be o(-6). Is 149/(b + -3 - 1) a composite number? False Let j = -105 + 1528. Is j composite? False Let h(z) = -z**3 - 6*z**2 + 6*z + 8. Let q = 5 - 3. Suppose 4*w + 4*i = -21 + 1, 3*i = -q*w - 8. Is h(w) a prime number? False Is ((-6)/(-9))/((-6)/(-1341)) a composite number? False Let x = 460 + -321. Suppose -2*g = -3*g + x. Is g composite? False Let b(w) be the second derivative of -11*w**5/20 - w**4/3 - 2*w**2 + 6*w. Is b(-3) composite? False Is 7 + -2 - 2 - (-1144)/4 a prime number? False Is (-3)/((-6)/(-1858))*(1 + -2) a prime number? True Let j be (4/10)/((-4)/20). Is (-2)/(j - (-120)/63) a prime number? False Let l(t) = -t**3 - 6*t**2 - 7*t - 7. Let p be l(-5). Let i(j) = 3*j**p + 0*j**3 - 2*j**2 + 9*j + 4 - 13*j. Is i(3) a composite number? True Is (6/(-4))/((-9)/8358) prime? False Let f = 8710 + -4421. Is f prime? True Let q = -11 + 16. Suppose q*y + 5*v = 210, -2*y - y + 106 = -v. Is y a composite number? False Suppo
{ "pile_set_name": "DM Mathematics" }
, -5/2, v, -0.08, -2? -2 Let s = 2.5 - 0.5. Let g = -0.2275 + 4.2275. Which is the smallest value? (a) -0.068 (b) s (c) g a Let k(s) = -8*s - 88. Let m be k(-18). Let v be -3 + m/12 - (-1 + 3). What is the second biggest value in 0.3, 4, 0, v? 0.3 Let a = 8 - 7.7. Let w be (36 + 6777/(-189))/((-2)/(-21)). What is the third smallest value in -5/2, a, w, -4? a Let u = 1144.7 - 1144. Which is the second smallest value? (a) -0.4 (b) u (c) 2.6 b Suppose -2*v + 13 - 7 = 0. Which is the second biggest value? (a) -30 (b) v (c) -0.5 (d) 5 b Let v = -499.3037 - -499. Let r = v + 0.0037. Let o = -1 - -1.06. Which is the fourth biggest value? (a) o (b) r (c) -4 (d) -0.4 c Suppose -3*f - 5*q = -3*q - 236, -4*f + 343 = -3*q. Let s = 408/5 - f. Let l = 20.4 - 19.4. Which is the second biggest value? (a) -4 (b) l (c) 5 (d) s b Let o = 1.48455 - 1.28455. Let t = 0 - 1. What is the smallest value in t, 23, o, 5? t Suppose 93*d + 46 = -323 - 96. What is the third smallest value in d, -0.55, 2? 2 Let h be 6/((9486/(-24))/(-17)). What is the biggest value in h, 22, 1/7? 22 Let a = 10.37 + -6.37. What is the biggest value in 0.3, 0.1, 7/2, a? a Let d = -2.2 - -20.2. Let z = 7160.7 + -7143. Let y = d - z. Which is the biggest value? (a) y (b) -0.4 (c) 3 c Let u = -0.18111 + 0.18111. Which is the fifth biggest value? (a) -0.2 (b) 10.06 (c) 5 (d) 6 (e) u a Let u = -0.071 + 0.271. Which is the fourth smallest value? (a) u (b) -10 (c) 4 (d) 0 (e) -0.5 a Let r = 2214.0545 - 2214. Which is the biggest value? (a) -5 (b) r (c) 3 c Let x be 3 + 74*4/(-88). Let r = -74.84 - -74.44. What is the third smallest value in x, -1/9, 2, r? -1/9 Let m = 113.16 + -111.16. Which is the fourth smallest value? (a) -3/4 (b) 0.5 (c) 94 (d) -4 (e) m e Let r = 121 - 688. Let q = -569 - r. Which is the biggest value? (a) q (b) 2 (c) 0.07 b Let j = -14281 - -14280.9. Let l be (-3)/((0 - -1)/(-1)). Let o be l/6 + 5/(-6). Which is the biggest value? (a) o (b) j (c) 4 c Let r = -3 + -2. Let u(p) = 2362*p - 54322. Let q be u(23). Which is the smallest value? (a) -0.052 (b) -0.3 (c) q (d) r d Let q be 699*22/(-297)*(7 - 1). Let l = -312 - q. Which is the fourth biggest value? (a) -1/19 (b) 4 (c) l (d) -0.4 c Let o(i) = 2*i**2 + 20*i - 152. Let h be o(5). Which is the biggest value? (a) h (b) 0.3 (c) 0.4 (d) -0.7 c Let o = -6975 + 6933. What is the smallest value in 1, -0.2, 4/9, o? o Let r = 70 - 29. Let v = -89 + 90. What is the second smallest value in v, 2/13, r? v Let d be ((-4)/6)/(98/(-21)). Let p = 21084/5 - 4217. What is the third biggest value in -2/3, d, p? -2/3 Let t = 448/61 - 4989/671. Which is the third biggest value? (a) t (b) 2/23 (c) -3 (d) -85 c Let z = -22177/12 - -1848. What is the biggest value in -0.0733, 2/3, z, 2/9? 2/3 Let z = -21.15 + 3.85. Let k = z + 14. Let h = k - -3.6. What is the smallest value in 0.2, 3/2, -7, h? -7 Let p be 0 - 16 - (2 - 1). Let o be (3 - 4)*p/(-34). Which is the smallest value? (a) 0.4 (b) -4 (c) o (d) -65 d Let h = -226 + 117. Let y = h + 111. Which is the second biggest value? (a) -3 (b) 0.4 (c) y b Let s be 4 + ((-66)/15)/1. Let k be (-12)/(-54) + 1/(-18)*-5. What is the second biggest value in k, s, 0.2, -2/9? 0.2 Let s(y) = y**3 - 27*y**2 - 28*y - 1. Let v be s(28). Suppose -8*z - 439 = -415. Which is the second biggest value? (a) v (b) z (c) -13 (d) 0 a Let o = -6.74 + 10.15. Let k = -0.59 - o. Suppose a + 2*a = 12. What is the second smallest value in k, -5, a? k Let k = -12 + 11.8. Let r = -13948.7 + 13949. Which is the fourth smallest value? (a) k (b) 0.07 (c) -4 (d) r d Let q = 30.48 + 12.14. Let v = q - -3.38. What is the smallest value in v, 5, -2/3? -2/3 Suppose f = 3*r - 8*r + 21, -2*f = 4*r - 18. Let d = -58.49 - 0.51. Let m = 57 + d. What is the fourth biggest value in -5, m, f, -1/3? -5 Let g be 1 + 26/(-22) - 725/(-55). Suppose -16*f + g*f = -9. Let j = -25 - -24.83. What is the second biggest value in j, 1/4, f? 1/4 Let v = 1255.9 + -1252.9. Let g = 0.2 + -1.2. Which is the biggest value? (a) 2 (b) 0.3 (c) v (d) g c Let d be (-137)/(-11508)*(1 - (-2)/(-3)). Let j = 517/3276 - d. Which is the biggest value? (a) -34 (b) 5 (c) j b Let i = 6472 - 1249094/193. Which is the third smallest value? (a) i (b) 2/3 (c) 9 c Let s be 92/(-69)*2/16*9. Let f = -905 - -905. Which is the second biggest value? (a) -2 (b) f (c) s c Let w be (-1)/(-4) + -18986*9/360. Let f = 472 + w. Which is the biggest value? (a) 3 (b) -3 (c) f a Let g = -16.13 + 0.13. Let p = 613.02 + -629. Let x = p - g. Which is the third smallest value? (a) -0.5 (b) x (c) 2 c Let s = 4.679 + -4.869. Which is the third biggest value? (a) s (b) -41 (c) -1 b Let j(r) = -r**3 - 220*r**2 + 11923*r + 89. Let m be j(45). Let l = -1/85 + 179/765. Which is the third smallest value? (a) 0.12 (b) m (c) l c Let w = 1.244 + -0.93. Let l = 1.7 + -1.686. Let t = w - l. Which is the smallest value? (a) t (b) 0 (c) 1/7 (d) 2/7 b Let p = -107 + 106.8. What is the smallest value in -2/11, p, -286? -286 Let n be (-6)/(-48)*28*(118/(-14) + 9). What is the third smallest value in n, 0.3, 98/15? 98/15 Let s = 2.5 + -1.98. Let o = -0.12 + s. Suppose 2*t - 4 = 2*f, 14 = 3*t + 2*f + 8. Which is the biggest value? (a) t (b) o (c) 5 c Let k = 303 + -607/2. What is the smallest value in -2/75, k, 2/23, 2, -2/3? -2/3 Let y = 1.7 + -6.7. Let j = 0.18 + -83.18. Let m = 83 + j. What is the third biggest value in y, m, 0.5? y Let a = -320.0387 - -0.0387. Let c = a - -318. What is the second smallest value in 3, c, -0.5? -0.5 Let k = 270 - 815. Let h = k - -3813/7. Which is the smallest value? (a) -2 (b) -1/8 (c) h (d) -0.3 a Let h(t) = t**2 - t - 6. Suppose u - 4 + 1 = 0. Let x be h(u). What is the third biggest value in x, -24/13, -5? -5 Let n be (-6)/(-57) - 6/(342/861). Let j be ((-6)/(-15))/(12/n). Let h = -24 + 12. Which is the second smallest value? (a) 0.3 (b) j (c) -0.2 (d) h b Let k = 327.7 + -329.7. Which is the fourth smallest value? (a) k (b) 6/7 (c) -1/6 (d) -2/11 b Let v = -215 + 220.69. Let w = -1.69 + v. Which is the third smallest value? (a) w (b) -14 (c) 7 c Let i be (-17 - 1)/(30/8). Let m = i - -91/20. Let c be (((-18)/12)/((-1)/(-4)))/(-8). What is the third biggest value in 5, c, m? m Suppose 28*s = 31*s - 5*p + 87, -5*s - 111 = 3*p. What is the smallest value in 2, -21, 5, s, -2? s Let v = -15 - -12. Let m = -222.5 - -222.5. Which is the second biggest value? (a) 0.1 (b) v (c) 0.2 (d) m a Let s = 907.7 - 907.6. What is the third biggest value in 0.052, 0.17, s? 0.052 Let a = 4/61 - 174/793. What is the biggest value in 3, -4/9, -0.027, 0.2, a? 3 Let x = 1693 + -1575. Let m = 124 + -2. Let u = m - x. Which is the second smallest value? (a) -1/5 (b) 0.3 (c) u b Let r = 735.556 - 735. Let y = 0.256 - r. What is the biggest value in 0.02, y, -2/9, -1/3? 0.02 Let o be (1/9)/((-5)/(-9)). Which is the third smallest value? (a) 3 (b) o (c) 1 (d) -5 c Let d be -1 + 42/(-8) - (-2)/8. Let i = 86 + -86.2. Which is the third smallest value? (a) d (b) -2/19 (c) i b Suppose 11 = -0*h + 5*h + 4*m, -4*m + 21 = -5*h. Let z = 0.26 - 0.56. Which is the third smallest value? (a) h (b) -0.131 (c) z b Let z = 864.7 + -997. Let m = 132 + z. Which is the second smallest value? (a) 1 (b) -0.1 (c) 5 (d) m b Suppose -2*v = -2, -5*o + 3*o = -5*v + 1. Let f be ((-132)/(-2002))/(-3 - (-80)/28). Which is the smallest value? (a) o (b) 1/7 (c) f c Let k = -187.6 + 145. Let i = 43 + k. Which is the second smallest value? (a) 2 (b) -0.22 (c) i c Let p = -79.6 + 67.6. Let w = 4 - 3.6. Which is the second smallest value? (a) p (b) 0.5 (c) w c Suppose -21*r + 67 = 151. Which is the third smallest value? (a) -4/49 (b) r (c) 6 c Let w = -167.43 - 122.65. Let b = 290 + w. What is the second biggest value in 0.3, b, -0.01, -1/3? -0.01 Let c = 2.824 - 3.824. What is the third smallest value in 3/10, c, 0.39? 0.39 Let k = -25/6 - -7/2. Let m be ((-42)/(-70))/((-1)/5). Which is the second biggest value? (a) k (b) 43 (c) m a Let k be (-10)/2*3/(-6). Let o = 8.3 + -49.3. Let w = o - -36. Which is the third biggest value? (a) -3 (b) 0.02 (c) k (d) w a Let l = 11 + -5. Sup
{ "pile_set_name": "DM Mathematics" }
ter 9:07 AM? 1:21 PM What is 699 minutes before 3:33 AM? 3:54 PM What is 184 minutes before 6:09 AM? 3:05 AM How many minutes are there between 5:04 AM and 9:57 AM? 293 What is 528 minutes after 8:05 PM? 4:53 AM What is 709 minutes before 11:31 AM? 11:42 PM What is 678 minutes after 7:47 AM? 7:05 PM What is 584 minutes before 3:04 AM? 5:20 PM What is 568 minutes after 5:57 PM? 3:25 AM How many minutes are there between 12:26 PM and 6:39 PM? 373 How many minutes are there between 5:10 AM and 4:32 PM? 682 What is 277 minutes after 7:52 PM? 12:29 AM How many minutes are there between 5:19 PM and 4:50 AM? 691 What is 115 minutes before 11:39 PM? 9:44 PM What is 158 minutes after 11:30 AM? 2:08 PM How many minutes are there between 11:16 PM and 4:47 AM? 331 What is 663 minutes before 3:48 AM? 4:45 PM How many minutes are there between 3:04 PM and 5:12 PM? 128 How many minutes are there between 9:08 PM and 10:10 PM? 62 What is 293 minutes before 7:21 AM? 2:28 AM What is 576 minutes before 10:44 AM? 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120 What is 663 minutes after 4:27 PM? 3:30 AM What is 386 minutes before 5:49 AM? 11:23 PM What is 165 minutes before 10:50 AM? 8:05 AM What is 91 minutes before 9:46 AM? 8:15 AM What is 708 minutes before 3:23 PM? 3:35 AM What is 49 minutes before 6:42 PM? 5:53 PM How many minutes are there between 9:41 PM and 10:40 PM? 59 What is 152 minutes before 10:13 AM? 7:41 AM What is 39 minutes after 7:33 PM? 8:12 PM How many minutes are there between 2:10 PM and 12:40 AM? 630 What is 104 minutes before 6:04 PM? 4:20 PM How many minutes are there between 6:00 PM and 8:21 PM? 141 How many minutes are there between 11:42 PM and 11:30 AM? 708 What is 682 minutes after 2:38 AM? 2:00 PM How many minutes are there between 3:32 PM and 4:14 PM? 42 How many minutes are there between 1:48 AM and 1:13 PM? 685 What is 643 minutes after 2:58 PM? 1:41 AM What is 305 minutes before 2:11 PM? 9:06 AM How many minutes are there between 8:19 AM and 1:11 PM? 292 How many minutes are there between 9:11 AM and 3:05 PM? 354 How many minutes are there between 1:30 AM and 8:39 AM? 429 How many minutes are there between 5:44 AM and 4:47 PM? 663 How many minutes are there between 4:42 AM and 12:15 PM? 453 How many minutes are there between 12:45 AM and 5:48 AM? 303 What is 430 minutes after 2:21 AM? 9:31 AM How many minutes are there between 3:25 AM and 6:21 AM? 176 What is 485 minutes after 5:38 PM? 1:43 AM What is 462 minutes after 1:50 AM? 9:32 AM How many minutes are there between 7:57 PM and 4:07 AM? 490 What is 443 minutes before 3:06 AM? 7:43 PM How many minutes are there between 12:57 PM and 5:36 PM? 279 How many minutes are there between 8:47 AM and 3:56 PM? 429 How many minutes are there between 10:02 PM and 2:55 AM? 293 What is 367 minutes after 7:25 PM? 1:32 AM How many minutes are there between 4:45 AM and 2:23 PM? 578 How many minutes are there between 7:55 PM and 9:33 PM? 98 What is 414 minutes before 10:23 PM? 3:29 PM What is 430 minutes after 11:23 PM? 6:33 AM What is 315 minutes after 5:08 AM? 10:23 AM What is 181 minutes before 3:17 AM? 12:16 AM What is 589 minutes before 11:53 AM? 2:04 AM What is 457 minutes after 7:13 AM? 2:50 PM How many minutes are there between 8:07 PM and 5:48 AM? 581 How many minutes are there between 7:46 AM and 11:52 AM? 246 How many minutes are there between 12:10 AM and 6:52 AM? 402 What is 599 minutes before 8:39 AM? 10:40 PM How many minutes are there between 2:49 AM and 4:31 AM? 102 How many minutes are there between 2:55 AM and 10:32 AM? 457 What is 152 minutes before 2:09 PM? 11:37 AM What is 675 minutes after 8:14 AM? 7:29 PM How many minutes are there between 5:59 AM and 6:10 AM? 11 How many minutes are there between 12:30 PM and 7:49 PM? 439 What is 130 minutes before 12:58 AM? 10:48 PM What is 470 minutes before 9:18 PM? 1:28 PM How many minutes are there between 8:00 PM and 6:23 AM? 623 How many minutes are there between 7:18 PM and 10:11 PM? 173 How many minutes are there between 9:39 AM and 7:03 PM? 564 How many minutes are there between 8:42 PM and 6:53 AM? 611 What is 331 minutes before 6:28 PM? 12:57 PM How many minutes are there between 4:52 PM and 10:14 PM? 322 How many minutes are there between 2:21 PM and 6:12 PM? 231 What is 260 minutes after 9:04 PM? 1:24 AM What is 323 minutes before 6:44 AM? 1:21 AM How many minutes are there between 5:39 PM and 2:37 AM? 538 What is 587 minutes after 10:15 AM? 8:02 PM What is 341 minutes after 2:43 PM? 8:24 PM How many minutes are there between 5:08 PM and 10:21 PM? 313 What is 11 minutes after 12:27 PM? 12:38 PM How many minutes are there between 9:38 AM and 8:47 PM? 669 How many minutes are there between 1:36 AM and 3:58 AM? 142 How many minutes are there between 8:08 PM and 12:32 AM? 264 What is 591 minutes after 1:29 AM? 11:20 AM What is 703 minutes after 9:13 AM? 8:56 PM How many minutes are there between 4:49 AM and 4:58 AM? 9 What is 667 minutes after 12:41 PM? 11:48 PM What is 702 minutes after 8:22 PM? 8:04 AM How many minutes are there between 3:27 PM and 8:37 PM? 310 How many minutes are there between 10:23 PM and 12:58 AM? 155 What is 11 minutes before 4:06 PM? 3:55 PM
{ "pile_set_name": "DM Mathematics" }
36 = 4*o + o. Let k = o - -303. What is the units digit of k? 6 Let c(n) = 31*n**2 + 7*n - 5. What is the tens digit of c(-4)? 6 Let t be 28/(-8)*(-32)/28. Suppose -100 - t = -4*d. What is the tens digit of d? 2 Let b = -24 + 16. Let s(d) = 2*d**2 + 5*d - 24. What is the tens digit of s(b)? 6 Suppose -2*j + j + 412 = 4*b, 0 = -3*j. Let a = 191 - b. What is the units digit of a? 8 What is the units digit of 521*((-85)/(-119) - (-4)/14)? 1 Let d(j) = 2*j**2 - 8*j + 1. Let h be (-48)/(-84) - 272/(-14). Suppose -h = -5*v, -g - g = -5*v + 6. What is the units digit of d(g)? 3 What is the units digit of 122430/56 - 10/8? 5 Suppose 3*q - 15 = -3*w, 3*w - 16 = 2*q - 1. Suppose 4*u + 30 = -3*f, -6*f + f - w*u - 55 = 0. Let v = 24 + f. What is the tens digit of v? 1 Suppose 28 = 5*d - 2*n + 4*n, 36 = 5*d + 4*n. Suppose -17*m + 20*m + 3 = 0, -1052 = -4*l - d*m. What is the units digit of l? 4 Suppose -4*v + 4082 = -3*x + x, -x + 3 = 0. What is the tens digit of v? 2 Let j = 138 - 100. Suppose 361 = 3*d - j. What is the units digit of d? 3 What is the hundreds digit of (8 - 8 - 5) + 381? 3 Let r = 5790 + -2931. What is the tens digit of r? 5 Let u be -5*2/6*6. Let d be 365/u*(-3 + 1). Suppose -280 = -4*w + 2*x, 0 = -w + 4*x - 2*x + d. What is the units digit of w? 9 Suppose -2*u + 6 = 2*q, 2*u = -1 + 3. Suppose q*g - 45 = -3*g. What is the units digit of g? 9 Let s = -359 - -605. Suppose 0 = -2*b - b + s. What is the units digit of b? 2 Let y(o) = 123*o + 193. What is the hundreds digit of y(10)? 4 Let z(w) = w + 22. Suppose 9*i - 5 = 8*i. Suppose q - f + 17 = 0, 4*f + i = -q + f. What is the units digit of z(q)? 8 Let m(w) = -7*w**2 + 3*w + 10. Let v be m(8). Let c be (v/3)/(2/(-1)). Let s = c - 26. What is the units digit of s? 3 Let l = 63 + 80. Let g = 232 - l. What is the tens digit of g? 8 Suppose -3*r + 4*a = -r + 88, -2*r = 2*a + 70. Let u = 111 + r. What is the units digit of u? 3 Let i = -7 + 7. Suppose i = -3*d - 2*d. Suppose d = -6*o + 2*o + 4. What is the units digit of o? 1 Let o(w) = -3*w - 16. Let g be o(-7). Let t(y) be the second derivative of y**5/20 - 5*y**4/12 + y**3/6 + 2*y**2 + y. What is the units digit of t(g)? 9 Let w = 239 - 60. What is the hundreds digit of w? 1 Let g = 175 + -143. What is the units digit of g? 2 Let j be (-2 + 112/(-6))*48/(-32). Let m = 35 + j. What is the tens digit of m? 6 Let c be (-3 - (-3 - -1)) + 49. Suppose -4*q + q = -c. What is the tens digit of q? 1 Let s(d) = d**3 + 10*d**2 - 15*d - 15. Let f(w) = -w**2 + w - 1. Let g(h) = 5*f(h) + s(h). What is the units digit of g(-6)? 4 What is the units digit of (91/35 + -2)/((-2)/(-270))? 1 Let k = 3746 - 595. What is the units digit of k? 1 Suppose 3*m + 5*q = 5*m - 4074, 0 = -4*q - 16. What is the tens digit of m? 2 Suppose -19 - 5 = -6*k. Suppose -i = n + k*i - 4, 2*n - 8 = -5*i. What is the units digit of n? 4 Let m = -12 - -32. Suppose 4*p + 0*p - m = 0. Suppose p*h - 23 = -4*k + 123, 2*h = -k + 38. What is the units digit of k? 4 What is the units digit of 2752 + 6 + (-60)/(-12)? 3 Let g be ((-2)/2 - -2)/(-1). Let x be g*(-17)/(-4)*-8. Let b = 56 - x. What is the units digit of b? 2 Suppose -2*a = -c - 3*a - 7, 4*a = -20. Let l be (-3)/c + 75/10. What is the units digit of (-92)/(-9) + (-2)/l? 0 Let t = -4895 - -7471. What is the tens digit of t? 7 Suppose -2*g + 384 = -g - s, 1556 = 4*g + s. What is the hundreds digit of g? 3 Let r = 1 - 28. Let t = -43 - r. What is the units digit of (-12)/t*9*8? 4 Let n(z) = z**3 + 7*z**2 - 5*z + 2. Let u = -4 - 2. Let d be n(u). Suppose 0*i = 2*i - d. What is the units digit of i? 4 Suppose -6 = 3*u + 3*h - 45, -57 = -4*u - 3*h. Suppose 13*g - u*g = -600. What is the tens digit of g? 2 Let l(y) = -y. Let v be l(-5). Suppose 0 = 2*n + 3*n - v. Suppose -n = s + i, -5*s + 2 = i - 1. What is the units digit of s? 1 Suppose g = -4*v + 3425 + 529, -v + 4*g = -997. What is the hundreds digit of v? 9 Let r be 64/12 - 3/9. Suppose 6 = r*j - 3*j. Suppose -j*m = -k + 63, -4*k + 3*m = -189 - 45. What is the units digit of k? 7 Let b(l) = 15*l**3 + 3*l + 2. What is the hundreds digit of b(2)? 1 Suppose 0 = -2*h - 2*n + 3 - 1, -3*n = -4*h - 3. Let i(q) = -q**3 + q**2 - q + 78. Let a be i(h). Suppose -a = -5*s + 2*s. What is the tens digit of s? 2 Let m(y) = -y**3 - 7*y**2 + 8*y + 4. Let k be m(-8). Suppose 8 = k*f - 0. Suppose 0 = -f*z + s + 51, -3*z + 7*s - 3*s = -84. What is the units digit of z? 4 What is the hundreds digit of (-1 + 12)*(19 - (1 - -1))? 1 Let m(v) = 94*v + 3139. What is the units digit of m(0)? 9 Let l = 368 - 146. What is the tens digit of l? 2 Let p be 1/3 + (-32)/(-12). Suppose -4*c - 3*m = -1188, 0 = -3*c - 0*m + p*m + 912. Suppose 4*k + k = c. What is the units digit of k? 0 Suppose -5 = c, 5*d - 2*c - 580 = -c. Suppose -b + d - 26 = 0. What is the tens digit of b? 8 Suppose 5*f + 0*f - 5 = -5*z, 3*z = 5*f + 27. Suppose p = -z*p + 380. What is the units digit of p? 6 Let c = -4 - -8. Let w be c/(-2) - 4/(-1). What is the units digit of w - (-9 - -2) - 1? 8 Suppose -307 = -7*j + 323. Let v = 139 - j. What is the tens digit of v? 4 Let o(t) = 3*t**3 - 22*t**2 + 9*t + 5. Let g = -48 - -55. What is the tens digit of o(g)? 1 Suppose 0*v - 2*v + 24 = 0. Let l(w) be the second derivative of -w**4/12 + 2*w**3 + 7*w**2 + 4*w. What is the tens digit of l(v)? 1 Let o(q) = -q**3 + 8*q**2 + 8*q + 10. Let a be o(9). Suppose a = 5*d - 9, 3*w = -4*d + 206. What is the units digit of w? 6 Suppose 7*x + 28512 = 31*x. What is the tens digit of x? 8 Let a(l) = -l**3 - l**2 + l + 1. Let d(p) = -3*p**3 + 2*p**2 + 10*p + 10. Let w(h) = -4*a(h) + d(h). What is the units digit of w(-5)? 1 Let u = -1547 - -2737. What is the thousands digit of u? 1 Let l be 0 + 80 - (3 + (-10)/5). Let q = -14 + l. What is the units digit of q? 5 Let z be (8/10)/(18/45). What is the units digit of z/(-5) - 3348/(-45)? 4 Suppose 92 + 1056 = 7*z. What is the tens digit of z/(-10)*105/(-21)? 8 Suppose -5*o = -5866 - 3809. Suppose -9*z + o - 531 = 0. Suppose 16 = 4*k, 4*a = 5*k + z + 116. What is the tens digit of a? 7 Let x(f) = -1517*f + 86. What is the tens digit of x(-2)? 2 Suppose 32 = 4*h + 4*w, -4*w + 13 = 5*h - 31. Let u = 17 - h. Suppose 2*c - 33 = -0*c - u*j, -3*c + 5*j = -87. What is the tens digit of c? 2 Suppose 0*y - 6 = -2*y. Let r = -40 - -40. What is the units digit of y + r + 1 + -3? 1 Let b(c) = -c**2 + 6*c - 3. Let g(d) = -2*d**2 + 6*d - 4. Let p(u) = 3*b(u) - 2*g(u). Suppose 17*w - 53*w + 144 = 0. What is the tens digit of p(w)? 3 What is the units digit of (214 + 2 + -3)*2? 6 Let y be 6/((-6)/9 + (-17)/(-12)). Suppose -4*l - y + 64 = 0. What is the tens digit of l? 1 What is the tens digit of ((-1595)/44)/(-3 + (-1388)/(-464))? 0 Let z = 3 + -5. Suppose h - 5*p - 17 = 0, -h + 13 = 2*h + 4*p. What is the units digit of (2 + -10)*h/z? 8 Let c = 782 - 528. What is the units digit of c? 4 Suppose -n = u - 450, 4*u - 3*n - 1862 + 34 = 0. What is the tens digit of u? 5 Let m = -13 + 13. Suppose -2*w + 82 - 3 = -5*y, m = -4*w + y + 203. Let p = w - 31. What is the units digit of p? 1 Let s = -104 + 110. Let l(m) = 18*m + 16. What is the units digit of l(s)? 4 Let u(y) = y**3 - 54*y**2 + 113*y - 19. What is the tens digit of u(52)? 4 Let l be -59 + 9/(-5 + 2) + 1. Let x = 41 - l. What is the tens digit of x? 0 Suppose -2*r + 47 = 167. Let t = r + 103. What is the units digit of t? 3 Suppose 15*p - 150 = 5*p. What is the tens digit of 1048/p - (-10)/75? 7 Let z(f) = f**2 - 23*f + 14. What is the hundreds digit of z(39)? 6 What is the units digit of (-40)/180 + (-11324)/(-9)? 8 Let y be 575/45 + 6/27. Let h(z) = z**3 - 13*z**2 + 3*z - 14. What is the tens digit of h(y)? 2 Suppose 0 = -r - 4*y + 472 + 827, 2*r + 2*y = 2628. What is the hundreds digit of r? 3 Suppose -1 = 3*g - 10. Let b(i) = -i**3 + 8*i**2 - 16*i + 7. Let l be b(5). Suppose -2*x = r + l*x - 1, 24 = g*r + 5*x. What is the tens digit of r? 1 Suppose -4*u = 5*o - 7*u - 9, 1 = 3*o - 4*u. Suppose 304 = 4*i + 6*q - 9*q, -4*q = o*i - 228. What is the tens digit of i? 7 Let z(o) = -o**3 + 5*o**2 + 5*o + 9. Let j be z(6). Suppose 2*q = 2*f + 12, -j*f - 8 = -2*q + q. What is the units digit of q? 5 Let l(v) = -v + 4. Let y = -15 - -17. Let i be l(y). What is the units digit of i +
{ "pile_set_name": "DM Mathematics" }
5.602 What is 108.6326143878 + -0.17? 108.4626143878 What is 1.8 - -1673971.14664? 1673972.94664 Calculate 430 + -198448.663. -198018.663 Add together -1184685271 and -20.4. -1184685291.4 Work out 0.08750645668 - -130. 130.08750645668 What is -44.8 plus 3205094429? 3205094384.2 -2134755.2263176 - 0.5 -2134755.7263176 Work out 0.51069075 - 4074614. -4074613.48930925 Calculate 293006 + -2356380628. -2356087622 Put together 79 and 140929841249. 140929841328 What is 16398266.8569 + 0.1? 16398266.9569 Calculate 0.02 - 40853875506916. -40853875506915.98 1872.61056+-4127969 -4126096.38944 Subtract 8.16942 from -239014. -239022.16942 -84318234995 - -607 -84318234388 Subtract 28627378 from 51. -28627327 Calculate -19 - -9396888266. 9396888247 What is 196 take away -2148344771181? 2148344771377 -10.89368187658 + 0 -10.89368187658 Work out 7.2 - 6740757471909. -6740757471901.8 What is 0.92 minus 496048980? -496048979.08 What is -74331974.01 less than -25.69? 74331948.32 116050 - -485.03397 116535.03397 Add -12 and 93314222.8083. 93314210.8083 Work out -2.03395 - 4562.1119. -4564.14585 Calculate 21690682642 + -41.6. 21690682600.4 Subtract -16.4 from 738045847. 738045863.4 Work out 1153938490372 - 6. 1153938490366 Calculate 13.632264382 - 0.112. 13.520264382 Work out 306884501 + 5941. 306890442 Put together 98407925.7 and 0.0345. 98407925.7345 Sum 129549403.9136 and -97. 129549306.9136 Total of 1 and 133403752.617. 133403753.617 What is -6131354.23 minus -181? -6131173.23 Calculate 104516.14 + 0.13307276. 104516.27307276 Total of -204333311602 and 0.3. -204333311601.7 What is -6.3849 - 25175909? -25175915.3849 What is -1.7005487 take away 0.7258? -2.4263487 What is 2029716 plus -21214004.4? -19184288.4 What is -22685000.69 minus -25755.2? -22659245.49 Add 82076273 and 7382. 82083655 Add together 44871966.8 and -0.423. 44871966.377 What is the difference between -34.2 and 15758.0687? 15792.2687 595989.08806 - 0.2439 595988.84416 What is 0.232 + 483069.14937? 483069.38137 What is 0.5 less than 1124191189.4062? 1124191188.9062 Subtract 8747174306 from -59.9. -8747174365.9 What is the distance between -2057972 and -84099? 1973873 What is -0.016 take away -32254.5921949? 32254.5761949 Add 0.1 and 2614938885970. 2614938885970.1 What is -56030656 + -0.2900958? -56030656.2900958 What is -3533537083 + -0.4136? -3533537083.4136 Sum -10037471 and -202680. -10240151 Add together 59.4 and -21.6669713. 37.7330287 Add 3935.8 and -0.335646096. 3935.464353904 What is the distance between 0.1 and -342993.3916229? 342993.4916229 What is -785312 - 4178.68? -789490.68 What is the distance between 13500377008759 and -7? 13500377008766 Total of 7418765020937 and 4. 7418765020941 Sum -3734414 and -3.63367. -3734417.63367 What is 185870.3 - 695086? -509215.7 Total of -0.49514 and -31267954. -31267954.49514 Calculate -0.041195 - -43005792. 43005791.958805 -61 + -118.4081791 -179.4081791 What is -807 take away 217182.753895? -217989.753895 What is -373818 plus -294485? -668303 What is -18764493010461 + 0.4? -18764493010460.6 Total of 3534 and -37.98514227. 3496.01485773 Subtract -2.47 from 15548699753. 15548699755.47 Subtract -99509752576 from -0.05. 99509752575.95 Sum 0.107 and -778659.75313. -778659.64613 What is -93166872948.57 less than 11? 93166872959.57 67789683908.6+-3 67789683905.6 Work out 392131 - -22.0929804. 392153.0929804 What is the distance between -21.48 and 525449946709? 525449946730.48 Calculate 181473.7142 - 0.51511. 181473.19909 Work out -104 - 32.87136591. -136.87136591 Add 704 and 59.8674534. 763.8674534 Add 0.042562891 and -595824. -595823.957437109 What is -28117508981056 + 0.4? -28117508981055.6 Add together 415615.3 and 4175797. 4591412.3 Work out 27232001 + -815093. 26416908 Subtract 0.353 from -339127578034. -339127578034.353 What is 2520989078 plus -4157.1? 2520984920.9 What is -18751 + 556609.3? 537858.3 Add -334 and 0.058220847. -333.941779153 What is the distance between 37.315284 and -55728? 55765.315284 What is the distance between 54 and -63932.34640895? 63986.34640895 Work out 35579 - 599738569. -599702990 What is -0.55 less than -174603.692288? -174603.142288 Sum -67391917 and 707594. -66684323 Total of 71996737.16 and 492. 71997229.16 What is the difference between 160184 and 25058395.6? 24898211.6 Total of 263064566.695 and -19. 263064547.695 Add together 5859 and 2064603900. 2064609759 1918649+-2566219 -647570 Work out -1.8 - 0.5454363781543. -2.3454363781543 What is -0.009277524395 plus 61? 60.990722475605 -0.02+-61088695162 -61088695162.02 What is -552 + 66.8390775? -485.1609225 What is 275.029122142 - 0.2? 274.829122142 What is the difference between 18754868628 and 16? 18754868612 432745823792 - 5 432745823787 What is -58386.15128 minus 0.16? -58386.31128 1 - -8.75403761579 9.75403761579 What is -15.761 + 207.498335? 191.737335 Total of 2.09 and 166002719959. 166002719961.09 What is -2204366121645 less than 0.4? 2204366121645.4 Add together -210.681 and 0.214844. -210.466156 Work out 0.3 + 1051591136766. 1051591136766.3 What is 26492 less than -1573000? -1599492 Sum -0.077 and 658.6647965. 658.5877965 -21512964.6 + 21 -21512943.6 94.8 + 167462758.7 167462853.5 Add 11.52948 and 16796.719. 16808.24848 What is 72 plus 2043143734875? 2043143734947 1.251173+302.0697 303.320873 Work out -5582438185 - 29.99. -5582438214.99 Calculate 52252 - 1172731. -1120479 What is 10202 minus 4636529? -4626327 What is -7029205 take away 3223.2425? -7032428.2425 What is the distance between -56513573495 and 1.8? 56513573496.8 Put together -12.072 and 419.4248209. 407.3528209 What is 17429839980.3543 + 5? 17429839985.3543 What is the distance between 0.4 and 547823542306947? 547823542306946.6 Subtract 34039 from -581570.6. -615609.6 Calculate 0.5 + -279202.298029033. -279201.798029033 -494+2210505506 2210505012 Subtract -3970 from -2643336.8. -2639366.8 -993641088 - -0.135 -993641087.865 -0.66940872 - -971 970.33059128 Subtract -0.040643 from 62.1131427. 62.1537857 What is the distance between -207 and -39939396792? 39939396585 Put together -0.2 and -3498360.12086. -3498360.32086 0.50770851 - -39778 39778.50770851 What is 12770.119805 plus 1111? 13881.119805 Add 10657689 and 1046663. 11704352 What is 11.6427114535 - -0.45? 12.0927114535 What is -301.775285859 take away 64? -365.775285859 Calculate 319 - 754716076894. -754716076575 What is 16303130100 minus -77? 16303130177 What is 37 + 2458.809437043? 2495.809437043 Sum 34726.012493 and -28. 34698.012493 32.656933357 + 0.023 32.679933357 Work out -56042849.9404 - 0.2. -56042850.1404 Work out -7094.86 + 503328540. 503321445.14 What is -4040 minus -3270374832? 3270370792 What is the distance between -53607 and -0.717765? 53606.282235 Calculate -229299906 - -11.7758. -229299894.2242 What is -65619 + 736936241? 736870622 What is 29452984116 take away 0.501? 29452984115.499 What is 12752.921558 minus -61.1? 12814.021558 What is the distance between 448.2215 and -1615153.25? 1615601.4715 What is the distance between 2929624.97404 and 0.052? 2929624.92204 -0.52 - 155111.6008 -155112.1208 What is -1029036565 less than -70624.2? 1028965940.8 0.2 - -84338989296446 84338989296446.2 -1089931+10298812 9208881 -202809+16492073 16289264 What is the distance between 276 and -4241410379? 4241410655 Put together -0.372932006 and -1.04. -1.412932006 What is 123.071172 - 0.216? 122.855172 -84574 + 20386260 20301686 Work out -19 - -14593515019692. 14593515019673 Calculate 817856.5 - 0.12107. 817856.37893 Work out 1943922174136 - 110. 1943922174026 -49244.445 - 1.2813 -49245.7263 Work out -29.9 + 639756406. 639756376.1 Calculate -16023105219 + 0.073. -16023105218.927 Calculate 9824 - 53199814174. -53199804350 What is -0.4245087 take away 0.0033159? -0.4278246 Sum 2.06 and 11.4774146. 13.5374146 Calculate -2859.5328044 + 0.41. -2859.1228044 -38.25957626 - -0.118 -38.14157626 Calculate 226 + 752274507. 752274733 What is 4 + -0.00382508683? 3.99617491317 What is 1.04 take away -1.35985533? 2.39985533 What is -238784423998.4 minus -31? -238784423967.4 What is -601971264395364 take away -0.1? -601971264395363.9 Put together 0.05 and 1007.9798797671. 1008.0298797671 Total of -1.1 and 34660880703. 34660880701.9 Add together -0.32 and -7
{ "pile_set_name": "DM Mathematics" }
- 34, -2*s - 1 + 5 = -2*w. What is the highest common factor of s and 8? 1 Let i(c) = c**2 - 8*c + 9. Let t be i(8). Let u(d) = d**2 - d - 5. Let w be u(3). What is the highest common factor of w and t? 1 Suppose -x = 23 - 24. Let j be (-2 - -1) + 10 + (x - -5). What is the greatest common factor of j and 20? 5 Let t = 4 + 78. Suppose z + n - 10 = -4*n, n = 4*z - t. What is the highest common divisor of 4 and z? 4 Suppose 5 = -3*p - 2*p. Let c(y) = -2*y - 1. Let i be c(p). Let h(r) = 6*r + 1. Let t be h(1). Calculate the highest common divisor of t and i. 1 Let g be ((-18)/12)/(2/(-4)). Suppose 0*s = -g*s - 36. Let o be (s + 1)/(5 - 6). What is the highest common divisor of o and 77? 11 Let i be -3 + ((-1545)/(-33) - (-4)/22). Suppose 4*y - b = 196, -5*b = 2*y - i - 76. Let x = 59 + -39. What is the highest common factor of x and y? 10 Let k = 348 + -267. What is the greatest common divisor of 18 and k? 9 Let a(g) = g**3 + 4*g**2 - 2*g - 3. Let j = 53 - 57. Let c be a(j). What is the greatest common factor of c and 45? 5 Suppose -u = -6 - 3. Let k(s) = s**3 + 6*s**2 - 5*s + 10. Let i be k(-7). Let r be i/(-6) - 4338/(-54). Calculate the highest common divisor of u and r. 9 Let j = 1740 - 1120. Calculate the highest common factor of 20 and j. 20 Suppose 5*f - 3*u = 25, 3*f - 3*u + 8*u = 15. Suppose -25*m = -10*m - 525. Calculate the highest common factor of f and m. 5 Let s be (-4 - (26 + 7))/(-1). Calculate the highest common divisor of s and 296. 37 Let v = -116 + 215. Suppose -21*a + 730 - 37 = 0. Calculate the highest common divisor of v and a. 33 Let n = -35 + 40. Suppose 0 = -w + 7 + n. Let m(v) = -41*v + 2. Let f be m(-2). Calculate the highest common divisor of w and f. 12 Suppose -q = -3*m + q + 50, m + 2*q = 22. Let a be ((-240)/70)/((-4)/378). Calculate the greatest common factor of a and m. 18 Suppose -k - 2*k = 2*k. Let f be (-1 - 15/9)*(k - 3). Calculate the highest common divisor of 32 and f. 8 Let h(t) = -t**3 - t**2 + 6*t + 1. Let v be h(-4). Suppose -z + 121 = -3*u + 8*u, u + z = v. Calculate the greatest common divisor of u and 16. 8 Suppose -343 = -30*q - 43. What is the greatest common factor of 4 and q? 2 Let z = -14 - -25. Suppose -385 = 6*l - z*l. Suppose 2*q = l - 17. Calculate the greatest common divisor of q and 15. 15 Suppose m - c = 7, -56*m + 55*m - 3 = -3*c. What is the highest common factor of m and 18? 6 Let w(x) = 4*x**2 - 2*x - 17. Let o be w(7). Suppose 5*g + s - 76 = o, -g = 5*s - 53. Calculate the highest common divisor of g and 12. 12 Let k be -3*(2 + (-20)/12). Let t be (k/((-2)/(-10)))/(-1). What is the greatest common divisor of 35 and t? 5 Suppose 14*h - 276 = 1264. Calculate the highest common divisor of 10 and h. 10 Let i(k) = 3*k**2 + 22*k - 3. Let t be i(-9). Let n(g) = g + 6. Let f be n(15). Calculate the highest common factor of f and t. 21 Let v(h) = -75*h + 855. Let l be v(11). Calculate the highest common factor of 78 and l. 6 Let a be 28/15 + 32/240. What is the highest common factor of 64 and a? 2 Suppose -5*i + 21 = 61. Let q = i + 11. Suppose q*m = 3*c - 36, 14 = -2*c + 3*c - 2*m. What is the highest common factor of 50 and c? 10 Let l = -28 + 12. Let h = 52 - 46. Let z be -9*l/h - 4. Calculate the highest common factor of z and 60. 20 Let c = 14 + -12. Suppose -2*f + 128 = c*f. Let g = 66 + -58. Calculate the greatest common factor of g and f. 8 Let r(f) = f**3 - 16*f**2 - 2*f + 14. Let m be r(16). Let k be 717/4 - m/24. What is the highest common divisor of k and 20? 20 Suppose -s + 2*l - l = 29, -3*l - 45 = s. Let q = s - -48. Let p = -32 - -62. What is the highest common divisor of p and q? 15 Let i = 116 + 34. What is the highest common factor of i and 20? 10 Let y = -40 - -86. What is the highest common divisor of y and 207? 23 Let i(z) be the third derivative of -z**5/60 - z**4/4 + 11*z**3/3 - 3*z**2. Let o be i(-7). What is the greatest common divisor of o and 20? 5 Suppose 175*x = 173*x + 4. Calculate the highest common divisor of x and 74. 2 Suppose -174 = 5*i - 8*i. What is the greatest common factor of 551 and i? 29 Let k(f) = -2*f**2 - 31*f + 55. Let y be k(-13). What is the greatest common factor of 1020 and y? 60 Suppose 4*o - 9*o = 35. Let h be 24/((o/14)/((-2)/4)). Let a = -111 - -183. Calculate the greatest common divisor of a and h. 24 Suppose 0 - 15 = -5*i. Let u be (168/(-60))/(6/(-45)). What is the greatest common factor of u and i? 3 Suppose f - 702 = -17*f. What is the greatest common factor of 2301 and f? 39 Let a be 0 + 2 - (-14 - (-9)/1). What is the highest common divisor of a and 539? 7 Suppose -3*g - 3 = 57. Let a be ((-8)/10)/(4/g). Let v be 1*(a/(-2) - -17). Calculate the highest common factor of 60 and v. 15 Suppose 5*s - 20 = -5*l, 4*l - s - 28 = -3*s. Suppose 0*t = 5*t - 200. Calculate the highest common divisor of l and t. 10 Let t be ((-240)/(-150))/((-4)/(-30)). Suppose v - 2 = 4. What is the highest common divisor of t and v? 6 Suppose -5*w - 27 = -267. Calculate the greatest common divisor of 160 and w. 16 Let k = 1037 + -962. What is the greatest common factor of k and 100? 25 Suppose 0 = -4*c - 2*y + 170, 3*c + 75 = 5*c - y. Let d = -3238 + 3248. Calculate the greatest common divisor of c and d. 10 Suppose 2*s - 180 = 4*x - 6*x, -25 = 5*x. What is the greatest common factor of s and 209? 19 Let d(z) = -2*z - 10. Let n be d(-6). Let h be (5/2)/1*n. Suppose 0 = -h*y - 0 + 90. Calculate the highest common divisor of y and 45. 9 Suppose -7*m + 216 = 5*m. What is the greatest common divisor of m and 225? 9 Let y = -14 - 1. Let d = y - -26. Suppose d = p - 1. What is the greatest common factor of 36 and p? 12 Suppose -q - 9 = 2*q, -4*q = -d + 23. What is the highest common factor of 187 and d? 11 Suppose 14*h = 10*h. Suppose 4*o - x = 23, h = -2*o - x + 14 + 5. Suppose 1 = -l + 8. What is the greatest common factor of l and o? 7 Let m = -322 - -396. What is the highest common factor of m and 1998? 74 Suppose -10*w + 4860 = 5*w. Calculate the greatest common divisor of w and 108. 108 Let b(u) = -51*u**3 + u**2 - 2*u - 2. Let t be b(-1). Let d = t + -9. What is the greatest common divisor of 215 and d? 43 Let m be (-39)/(-2) - (-2)/(-4). Let f = 35 - m. Let a(b) = -b**3 + 8*b**2 - 2*b + 4. Let d be a(6). Calculate the greatest common factor of f and d. 16 Let l = -1 - 1. Let u be (-11)/(l + 25/15). Calculate the highest common factor of u and 22. 11 Let w be 2/(-5)*105/(-14). Calculate the greatest common factor of 36 and w. 3 Let b = -1961 + 2093. Calculate the highest common divisor of 572 and b. 44 Suppose 11*u + 44*u - 1760 = 0. What is the highest common divisor of u and 16? 16 Suppose 0 = -3*q - 1 + 1. Let w = 40 + q. Suppose -51 = -5*o - 11. What is the highest common divisor of o and w? 8 Let v(r) = -r**3 - 6*r**2 + 22*r + 21. Let y be v(-9). Calculate the greatest common divisor of y and 352. 22 Let y be 24242/161*21/6. Calculate the greatest common divisor of y and 124. 31 Let w = 169 + -137. What is the highest common divisor of w and 272? 16 Suppose -55*f - 34*f = -13172. Calculate the highest common divisor of 1110 and f. 74 Suppose -706 = -9*j + 374. What is the greatest common factor of j and 200? 40 Let k(x) = x**2 + 9*x + 10. Let d be k(-9). Suppose -2*p + 4*n + 2 = -0*n, -4*p = -n - 18. What is the greatest common factor of p and d? 5 Let c = -86 + 102. Suppose 3*r + 27 = 3*q, 5*q - 106 = -4*r - c. Let d be 0 - (-6 - 1)*14. What is the greatest common factor of q and d? 14 Let t(n) = -27*n + 4. Let v be t(-4). Let w = 7 + -24. Let l(k) = k**3 + 18*k**2 + 17*k + 16. Let u be l(w). What is the highest common divisor of u and v? 16 Let j be 4*(2 + -7)/(-10). Let v(b) = -b**2 + 8*b + 18. Let x be v(8). Calculate the greatest common factor of j and x. 2 Suppose 3*s - 51 = -9. Suppose 4*u - 26 = -270*w + 267*w, 4*w = 4*u + 72. Calculate the greatest common factor of s and w. 14 Suppose 0*r + t + 6 = -r, 0 = 4*r - 2*t + 42. Let q = 10 + r. Suppose -p + 2*n = -10, -2*n - 6 = -3*p + 20. Calculate the greatest common divisor of q and p. 1 Suppose 19*s - 25*s - 48 = 0. Let x(t) = 3*t**2 + 8*t - 20. Let h be x(s). Calculate the greatest common divisor of h and 54. 54 Suppose -2*a = -66 - 114. What is the greatest common divisor of 225 and a? 45
{ "pile_set_name": "DM Mathematics" }
cked without replacement from hhthmdtdhtdddhddtdtn. What is prob of picking 1 d and 1 n? 4/95 Four letters picked without replacement from {q: 5, c: 14}. Give prob of picking 4 c. 1001/3876 What is prob of picking 2 u and 2 c when four letters picked without replacement from uiuiicciccu? 3/55 Calculate prob of picking 1 g and 2 m when three letters picked without replacement from ggkggmymmgkyyagmuygy. 7/190 Three letters picked without replacement from {q: 1, j: 2, d: 5, i: 2, r: 1, c: 2}. What is prob of picking 1 d, 1 q, and 1 c? 5/143 Calculate prob of picking 2 q, 1 j, and 1 t when four letters picked without replacement from qqpttmptqqmmtqtpqj. 5/204 What is prob of picking 1 o and 3 m when four letters picked without replacement from {w: 4, m: 4, o: 4, b: 2}? 16/1001 Calculate prob of picking 1 p and 1 c when two letters picked without replacement from ppcnnnpcnncpp. 5/26 Two letters picked without replacement from {e: 1, p: 2, b: 4}. Give prob of picking 1 e and 1 b. 4/21 Calculate prob of picking 2 c and 1 f when three letters picked without replacement from cfcccccc. 3/8 Two letters picked without replacement from {v: 3, u: 15}. What is prob of picking 1 v and 1 u? 5/17 Calculate prob of picking 3 m and 1 h when four letters picked without replacement from mhjnmmhmnmnmmk. 10/143 Calculate prob of picking 1 p, 1 x, and 2 f when four letters picked without replacement from fpxpxxfxxff. 2/11 Two letters picked without replacement from lllllnlllllllllv. Give prob of picking 1 l and 1 n. 7/60 What is prob of picking 1 z, 1 u, and 1 s when three letters picked without replacement from cszibbu? 1/35 Four letters picked without replacement from appopxxpapmpxa. Give prob of picking 1 x, 1 o, and 2 p. 45/1001 Two letters picked without replacement from uxuwwxsnxuuu. Give prob of picking 1 x and 1 s. 1/22 Calculate prob of picking 2 g and 1 i when three letters picked without replacement from iiggmggimggmgmii. 3/16 Three letters picked without replacement from {c: 9}. Give prob of picking 3 c. 1 What is prob of picking 2 e when two letters picked without replacement from {e: 2, q: 4, k: 3}? 1/36 Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {g: 3, p: 3, v: 1}. 1/7 Two letters picked without replacement from qiqiiniqxqoioii. Give prob of picking 1 i and 1 n. 1/15 Three letters picked without replacement from {h: 2, g: 2}. Give prob of picking 1 g and 2 h. 1/2 What is prob of picking 2 h when two letters picked without replacement from {h: 2, l: 2}? 1/6 What is prob of picking 3 p when three letters picked without replacement from {p: 8, z: 5}? 28/143 Three letters picked without replacement from {m: 1, j: 1, u: 2, d: 3, v: 3}. Give prob of picking 2 v and 1 u. 1/20 Two letters picked without replacement from {j: 1, g: 3, a: 6, m: 3, x: 3}. Give prob of picking 1 m and 1 j. 1/40 Four letters picked without replacement from ccdcddcddcccccdccc. What is prob of picking 1 c and 3 d? 4/51 What is prob of picking 3 h when three letters picked without replacement from {x: 1, i: 2, h: 4}? 4/35 Two letters picked without replacement from {y: 3, d: 1}. What is prob of picking 2 y? 1/2 Three letters picked without replacement from yymmfmm. What is prob of picking 3 m? 4/35 Three letters picked without replacement from {w: 2, l: 1, h: 2, j: 1, c: 1}. Give prob of picking 1 c and 2 h. 1/35 Two letters picked without replacement from {m: 1, n: 7, b: 1}. Give prob of picking 2 n. 7/12 What is prob of picking 4 g when four letters picked without replacement from ggggbggg? 1/2 Three letters picked without replacement from {v: 1, k: 14}. Give prob of picking 1 v and 2 k. 1/5 What is prob of picking 2 f, 1 g, and 1 l when four letters picked without replacement from {f: 5, l: 7, g: 8}? 112/969 Calculate prob of picking 1 l and 1 u when two letters picked without replacement from iiuiiiiiiiiiiiiiil. 1/153 Calculate prob of picking 1 u, 2 x, and 1 v when four letters picked without replacement from xxssuvs. 1/35 What is prob of picking 2 z and 1 g when three letters picked without replacement from gdzhlid? 0 Two letters picked without replacement from jmeteejemjde. What is prob of picking 1 e and 1 m? 5/33 Calculate prob of picking 1 y, 1 s, and 1 d when three letters picked without replacement from {o: 1, s: 2, y: 1, a: 1, d: 2, x: 1}. 1/14 What is prob of picking 2 s and 2 c when four letters picked without replacement from {s: 2, r: 8, c: 2, d: 4}? 1/1820 What is prob of picking 2 d when two letters picked without replacement from {d: 2, c: 1, i: 2}? 1/10 What is prob of picking 2 a when two letters picked without replacement from {v: 1, a: 3, n: 4}? 3/28 Four letters picked without replacement from {s: 7, j: 9}. What is prob of picking 4 j? 9/130 Three letters picked without replacement from {k: 4, v: 2, n: 3}. What is prob of picking 3 n? 1/84 What is prob of picking 1 j and 1 c when two letters picked without replacement from ltcttyj? 1/21 Calculate prob of picking 2 c when two letters picked without replacement from {o: 5, b: 2, c: 3}. 1/15 Calculate prob of picking 3 a and 1 w when four letters picked without replacement from {w: 3, p: 6, a: 3, q: 6}. 1/1020 Four letters picked without replacement from {f: 2, s: 5, d: 3}. Give prob of picking 2 f and 2 s. 1/21 Three letters picked without replacement from {x: 6, v: 1, n: 1, t: 1}. What is prob of picking 1 t, 1 n, and 1 v? 1/84 What is prob of picking 2 x, 1 c, and 1 r when four letters picked without replacement from {x: 2, c: 4, w: 1, r: 10}? 2/119 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from smmmmmmsmm. 16/45 Three letters picked without replacement from {o: 6, n: 7}. Give prob of picking 1 o and 2 n. 63/143 Four letters picked without replacement from {g: 3, q: 7}. Give prob of picking 4 q. 1/6 Two letters picked without replacement from {f: 9, q: 4, w: 4}. What is prob of picking 1 w and 1 q? 2/17 Three letters picked without replacement from uuwuuw. Give prob of picking 1 w and 2 u. 3/5 Three letters picked without replacement from luwoz. Give prob of picking 1 w, 1 u, and 1 o. 1/10 What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 1, f: 1, g: 2, p: 1}? 1/10 Two letters picked without replacement from {f: 3, a: 3}. What is prob of picking 2 a? 1/5 Four letters picked without replacement from {r: 1, u: 4, f: 2, h: 1, i: 7, z: 4}. Give prob of picking 1 h, 2 f, and 1 i. 7/3876 Two letters picked without replacement from {p: 4, h: 1, c: 6}. What is prob of picking 2 c? 3/11 Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vhkjr. 1/10 Three letters picked without replacement from {x: 2, d: 1, g: 1, n: 1, t: 1, l: 2}. What is prob of picking 1 l, 1 d, and 1 n? 1/28 Calculate prob of picking 2 u and 1 v when three letters picked without replacement from uvvvvvuvuvuuu. 105/286 What is prob of picking 1 c and 2 e when three letters picked without replacement from ceewceceeewececccc? 14/51 Two letters picked without replacement from {i: 2, w: 4, m: 5, d: 4}. Give prob of picking 1 d and 1 w. 16/105 Four letters picked without replacement from nnnn. What is prob of picking 4 n? 1 Calculate prob of picking 1 g, 1 v, and 1 z when three letters picked without replacement from gvglgfgmmzfm. 1/55 Calculate prob of picking 1 a and 2 e when three letters picked without replacement from eaeaeaeaaeaeeeea. 9/20 Three letters picked without replacement from {v: 1, a: 3, e: 5}. What is prob of picking 3 e? 5/42 Three letters picked without replacement from vmvveevvvvem. What is prob of picking 1 e, 1 v, and 1 m? 21/110 Three letters picked without replacement from {a: 5, s: 11}. Give prob of picking 2 a and 1 s. 11/56 Four letters picked without replacement from {b: 5, n: 9}. Give prob of picking 4 b. 5/1001 Calculate prob of picking 2 w when two letters picked without replacement from diwdkiiwdikrxwwdikxi. 3/95 Two letters picked without replacement from {e: 4, q: 3, v: 3, c: 3, o: 6}. What is prob of picking 2 v? 1/57 What is prob of picking 1 o and 1 w when two letters picked without replacement from oimwmo? 2/15 Two letters picked without replacement from gpgp
{ "pile_set_name": "DM Mathematics" }
-1/7 Calculate (-9)/270*6*3. -3/5 What is (-48)/(-108)*(-5)/((-40)/6)? 1/3 Calculate 3*-4*15/(-36). 5 What is the value of (-5)/(-5)*1/1? 1 162/(-27)*2/20 -3/5 Evaluate -3*(-1)/((-9)/(-3)). 1 Calculate (15/(-6)*1)/(5/(-10)). 5 Evaluate (((-140)/(-16))/(-7))/(4/(-16)). 5 What is ((-1)/(-2))/(13/52*-1)? -2 What is (6/4)/(411/(-1918))? -7 Evaluate (-3)/3*10*3/6. -5 What is (20/(-15))/(36/162)? -6 What is (-55)/11*18/15? -6 (224/140)/(8/10) 2 (3/(-3))/(30/(-15)) 1/2 ((-10)/85)/((7/(-1))/(-7)) -2/17 What is the value of 42/(-189)*1/(-5)*3? 2/15 What is the value of ((8/9)/(-4))/(2/(-18))? 2 What is the value of ((-1)/5)/(81/(-540))? 4/3 (((-6)/36)/(-1))/((-4)/(-6)) 1/4 What is 42/105*(-1)/2? -1/5 What is the value of ((-5)/20*2)/((-2)/(-8))? -2 Calculate (-36)/2*(-126)/(-252). -9 Calculate ((-4)/2)/2*(-4)/(-16). -1/4 Calculate (-6)/(-18)*8/12. 2/9 Evaluate ((-52)/(-117))/(11/99). 4 Evaluate (-10)/(-100)*-10*1/(-9). 1/9 What is ((-4)/2*-1)/(8/(-12))? -3 What is the value of (11/(33/4))/(1/3)? 4 Evaluate ((-2)/(-28))/(30/(-120)). -2/7 What is 1/(((-24)/(-15))/(-8))? -5 Evaluate (125/10)/(-5)*(-1)/10. 1/4 What is ((9/(-6))/((-15)/(-20)))/3? -2/3 What is the value of (8/(-8))/(-3*2/18)? 3 What is (-4*2/20)/(2/(-3))? 3/5 Evaluate 1*10/2*16/(-20). -4 What is ((-66)/55)/((-22)/(-30)*-3)? 6/11 Calculate (-90)/(-20)*63/162. 7/4 Evaluate (2/(-4))/(2*(-2)/24). 3 Evaluate (2/(-9))/(7/(84/(-16))). 1/6 Evaluate 8/(-30)*15/3. -4/3 What is (-3)/(1*3/16*-2)? 8 What is ((-2)/16*2)/(24/36)? -3/8 Calculate (168/560)/(4/(-5)). -3/8 Calculate ((-1)/(-4)*-1)/(11/(-44)). 1 Evaluate -2*(-4)/84*3. 2/7 Evaluate (156/208)/(((-45)/6)/(-5)). 1/2 What is (3/24)/((-1)/(-56))? 7 Evaluate (-400)/125*(-1)/(-4). -4/5 15/(-18)*(-96)/(-16) -5 What is the value of ((-1)/(-2)*-1)/((-79)/948)? 6 Evaluate 621/(-69)*(-2)/3. 6 What is the value of 6/(-4)*-4*3/(-30)? -3/5 Calculate 20/24*(-16)/(-20). 2/3 Calculate ((-285)/285)/(((-2)/(-4))/1). -2 What is (11/((-176)/(-24)))/(1/4)? 6 What is the value of ((-1)/(-8))/(1/2)? 1/4 Calculate ((-24)/32)/(2/8). -3 Calculate (-14)/(-12)*(-10)/(-35). 1/3 What is the value of (((-24)/5)/2)/(20/50)? -6 1*30/(18/(-3)) -5 What is the value of (-230)/(-69)*(-12)/(-32)? 5/4 What is the value of (20/6)/1*18/15? 4 Evaluate 4/((-126)/(-4)*4/3). 2/21 Calculate 306/(-51)*1/2. -3 What is the value of (-4)/(-10)*(-45)/(-81)? 2/9 What is the value of ((-6)/24)/((-2)/32)? 4 Calculate (-98)/49*(-2)/4*11. 11 Calculate 2/(18/(-30)*-10). 1/3 What is the value of -9*(16/84)/((-18)/(-63))? -6 (-3)/(-6)*5/(-10) -1/4 Evaluate (((-24)/(-4))/18)/(-3). -1/9 Calculate (-2)/(4/2)*0. 0 What is the value of (12/195)/((-18)/(-45))? 2/13 What is ((-2)/14)/((-1)/42*4)? 3/2 Evaluate (10/(-7))/(-3*(-44)/231). -5/2 (8/(-5))/((-4)/(-230)*23) -4 What is (((-2)/(-10))/1)/(77/770)? 2 What is the value of 12/(-10)*14*(-2)/(-56)? -3/5 What is the value of (-4)/6*15/(-2)? 5 What is (9/(108/8))/(-2)? -1/3 Calculate (4/8)/((-15)/6). -1/5 Calculate (15/(1125/10))/(4/(-6)). -1/5 What is -2*(-2)/(-4)*28/7? -4 What is the value of (24/(-16))/(6/2)? -1/2 What is the value of 54/(-36)*2*(-1)/27? 1/9 What is 0/5*(-14)/(-14)? 0 What is 3/(-2)*(-12)/36? 1/2 63*(-11)/(-198)*-2*1 -7 Evaluate 5/(((-15)/21)/(48/(-56))). 6 Evaluate (-3*4/48)/1. -1/4 Calculate (3*6/(-24))/((-2)/(-8)). -3 What is the value of (3/(15/(-10)))/2? -1 Evaluate 8/(-2)*5*(-10)/50. 4 What is (2/25)/((-10)/(-150)*6)? 1/5 Evaluate 1*-4*1*12/24. -2 Evaluate (4/4)/(3/(-9)). -3 Calculate 1*(-7)/14*-2*1. 1 Evaluate 1/(-8)*2*56/(-77). 2/11 What is (-44)/22*2/8? -1/2 What is 3/(-6)*(-24)/4? 3 Calculate ((-4)/(-3))/(36/54). 2 (12/(-10))/(8/20) -3 What is the value of 3*4*6/(-144)*-2? 1 (0/(-6))/(1/((-6)/(-6))) 0 What is the value of (10/12)/((-5)/(-2))? 1/3 Evaluate 8/(-4*6/(-36)*3). 4 What is the value of -11*120/(-528)*4/(-10)? -1 3/60*-1*(-5)/2 1/8 ((-4)/6)/((-20)/15)*8 4 Evaluate 4*(-6)/4*(-3)/72. 1/4 What is the value of ((140/8)/5)/7? 1/2 Calculate 8*-8*(-9)/432. 4/3 Evaluate ((-96)/18)/(112/(-24)). 8/7 Evaluate 15*12/(-216)*-6. 5 What is the value of (-4)/((-21)/((-1)/((-18)/(-27))))? -2/7 What is (2/1)/(104/364)? 7 Calculate (6/88)/((-12)/32). -2/11 What is (-9)/(-2)*184/207? 4 What is the value of 6/(-45)*10/(-12)*3? 1/3 Evaluate ((-8)/(-4))/(2*-5). -1/5 What is the value of (-10)/(-4)*15/((-75)/8)? -4 What is the value of 9/(1*-2*(-55)/110)? 9 What is -3*1*(-8)/(-36)*6? -4 Calculate 7/(-3)*68/119. -4/3 ((-4)/(-30))/(2/(-10)) -2/3 (-5)/10*(-1)/(-3) -1/6 Evaluate (-8)/36*3*3/(-5). 2/5 What is 4/(-50)*40/8? -2/5 4/(-3)*(-2)/((-20)/45) -6 What is ((-10)/4)/((-27)/54)? 5 What is the value of (-1)/11*-2*(-5)/(-5)? 2/11 Calculate (-3)/(-9)*96/528. 2/33 What is (2/8*-1)/(33/44)? -1/3 Calculate (0/((-88)/11))/(-3). 0 Evaluate (-2)/3*(-63)/(-770)*-5. 3/11 What is the value of ((-11)/154)/(-4*5/105)? 3/8 Evaluate (-69)/(-23)*10/(-75). -2/5 What is the value of (-85)/(-340)*4/(-9)? -1/9 (2/6)/(17/(-51)) -1 Calculate 2/(8/12*(-3)/1). -1 Evaluate (-1)/4*1*4/(-3). 1/3 (((-12)/(-12))/(5/(-80)))/(-2) 8 What is (-4*1/45)/((-2)/(-5))? -2/9 ((-3)/12)/((21/(-12))/(-1)) -1/7 Calculate (30/90)/(1/(-6)). -2 What is (-1)/(((-2)/6)/(12/9))? 4 Calculate (-1)/(-4)*2*-2. -1 What is 21/(-6)*(-42)/735? 1/5 What is 2/(-3)*(27/30)/3? -1/5 What is the value of 1*2*((-24)/4)/(-6)? 2 What is (-9)/10*63/189? -3/10 What is (-5)/(3/((-48)/20))? 4 What is ((-333)/(-222))/((-5)/6)? -9/5 Calculate ((-15)/10)/(-1)*(-16)/6. -4 (2/1*(-28)/(-7))/2 4 Evaluate ((-18)/60)/((-24)/(-16)). -1/5 Calculate (37/(-74))/(15/4). -2/15 ((-15)/4)/(1340/(-1072)) 3 What is the value of ((-81)/45)/((-12)/20)? 3 Evaluate (-35)/(-42)*3*12/(-10). -3 (-1)/((-5)/2)*10/(-20) -1/5 Calculate (((-264)/18)/(-22))/((-8)/9). -3/4 What is -6*-8*(-4)/64? -3 Calculate (0/(24/6))/(-1). 0 Evaluate ((-32)/28)/(1/(-2)*4). 4/7 Evaluate 4/(-1)*(-13)/(-26). -2 Calculate ((-24)/40*4)/(6/(-10)). 4 What is the value of ((-7)/(-14))/(1*2/(-12))? -3 Evaluate 4*1*(-2)/352*-4. 1/11 What is (-7)/(-14)*-2*5? -5 Evaluate 5/(-6)*(-34)/(-170). -1/6 Calculate (-4)/(-2)*(-21)/98. -3/7 What is 1/(((-64)/768)/((-1)/(-3)))? -4 What is the value of (-16)/((-48)/9)*1/12? 1/4 Evaluate 6/5*(-640)/(-192). 4 What is (21/14)/((-4)/(-8))? 3 What is (7/7)/(6/(-3))? -1/2 What is (-30)/16*(-2)/5*-1? -3/4 4/6*(-3)/24*6 -1/2 ((-2)/9*3)/((-20)/12) 2/5 What is the value of ((-4)/14)/((-48)/42)? 1/4 Calculate ((-36)/648)/((-1)/(-2)). -1/9 Calculate ((-2)/(-8))/((585/(-24))/(-13)). 2/15 Calculate (-3)/1*(-4)/4. 3 -4*15/36*(-9)/45 1/3 What is the value of (-1)/15*-5*3? 1 69/(-115)*10/2 -3 Calculate 3/(-6)*16/(-4). 2 What is (1/(22/(-2)))/(1/2)? -2/11 What is (-60)/16*2*(-16)/20? 6 What is ((-3)/9)/(14*(-9)/270)? 5/7 (-6)/(-9)*(-4)/(-8) 1/3 What is the value of (-2)/5*(-15)/63? 2/21 What is the value of (2/(-16))/(3/6)? -1/4 What is the value of ((-4)/(-10))/(12*4/(-30))? -1/4 What is ((-8)/(-10))/(3*2/(-30))? -4 What is ((-16)/(-24))/((-4)/12*1)? -2 What is ((-24)/(-18))/(-4)*15? -5 What is the value of (-4)/(6*7/(-63))? 6 Calculate (-45)/(-60)*(-4)/6*-5. 5/2 What is the value of (36/27)/((-4)/(-3))? 1 40/(-650)*10/(-4) 2/13 Calculate (-2)/2*30/(-6). 5 Calculate (1/2)/((2/2)/(-2)). -1 (((-10)/(-4))/((-170)/(-204)))/(-3) -1 What is 138/92*-2*4/(-30)? 2/5 What is (1/12)/(50/(-150))? -1/4 Evaluate 160/64*8/(-90). -2/9 What is the value of 1*(7/(-14))/(1/2)? -1 Evaluate ((-37)/(-37))/((-1)/4). -4 Evaluate (-1*3/36)/(3/6). -1/6 What is the value of ((-2)/16*-2)/((-177)/(-2832))? 4 ((-3)/(-2))/(21/35*15) 1/6 What is (((-66)/(-90))/11)/(2/10)? 1/3 What is (7/(-280)*-2)/(28/(-210))? -3/8 (-54)/(-810)*(-9)/(-1) 3/5 (12/4)/((-9)/12) -4 What is the value of (2/(-7))/((-2)/7)? 1 Calculate ((-4)/10)/((-4)/5). 1/2 (-8)/5*100/(-2520)*9 4/7 Evaluate ((-36)/21)/(2*(-3)/21). 6 What is the value of (1/5)/(14/140)? 2 Evaluate ((-35)/7)/30*2. -1/3 8/3*12/8 4 (5/(-15))/((-7)/3) 1/7 What is (-6*4/14)/((-10)/35)? 6 What is (4/(-6))/(51/102)? -4/3 Calculate 21/98*(392/(-21))/14. -2/7 (45/(-270))/((-2)/(-8)) -2/3 What is 2*(-10)/8*2? -5 What is the value of 1*(-24)/54*(-9)/(-36)? -1/9 18/12*8/(-114) -2/19 What is -6*4*2*2/(-12)? 8 ((-9)/30*5)/(3/(-2)) 1 Evaluate 3/(-4)*520/130. -3 Evaluate 1/4*(-8)/3. -2/3 (6/(42/7))/(1/2) 2 What is the value of (-1302)/62*1/(-3)? 7 Evalua
{ "pile_set_name": "DM Mathematics" }
aaaamaxxaxxxmxxxxxx. Give prob of picking 1 a and 1 x. 77/190 Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {b: 1, z: 1, n: 3}. 1/10 What is prob of picking 2 t when two letters picked without replacement from rttvist? 1/7 What is prob of picking 3 x when three letters picked without replacement from jxjxxxxxxx? 7/15 Calculate prob of picking 2 d when two letters picked without replacement from dllldlf. 1/21 What is prob of picking 2 u when two letters picked without replacement from {u: 1, w: 7}? 0 Two letters picked without replacement from fkzzzefffkkkcnffkfz. Give prob of picking 1 e and 1 f. 7/171 Three letters picked without replacement from okoorvq. Give prob of picking 1 k, 1 r, and 1 o. 3/35 Two letters picked without replacement from {l: 3, e: 2, g: 6, m: 1, r: 2, d: 1}. What is prob of picking 1 e and 1 l? 2/35 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from mmpppzomdpzddmdp. 1/24 What is prob of picking 1 n, 1 o, and 1 p when three letters picked without replacement from tonnnnbxtnbxntxpnnn? 3/323 Four letters picked without replacement from ugugbbuug. What is prob of picking 1 b and 3 u? 4/63 What is prob of picking 2 h and 2 y when four letters picked without replacement from {h: 3, y: 9}? 12/55 Calculate prob of picking 1 i and 2 k when three letters picked without replacement from {k: 3, i: 1}. 3/4 Two letters picked without replacement from phzqqdz. Give prob of picking 1 h and 1 d. 1/21 What is prob of picking 1 i and 2 y when three letters picked without replacement from iiyiyiyyiiiyi? 40/143 Four letters picked without replacement from yoyyyyyory. What is prob of picking 2 o and 2 y? 1/10 What is prob of picking 2 w when two letters picked without replacement from oooooooooowooowoooow? 3/190 Three letters picked without replacement from kykkvkkkk. What is prob of picking 1 k, 1 v, and 1 y? 1/12 What is prob of picking 1 l, 1 m, and 1 c when three letters picked without replacement from mslmmmcmscm? 4/55 Three letters picked without replacement from ywwrljyp. What is prob of picking 1 p, 1 j, and 1 r? 1/56 What is prob of picking 3 z and 1 s when four letters picked without replacement from zzzzoosazzzzzozoa? 6/119 Three letters picked without replacement from {u: 1, q: 9, e: 2, z: 4}. What is prob of picking 1 u, 1 z, and 1 q? 9/140 Two letters picked without replacement from zmmzammzzaawmqaqazaq. Give prob of picking 1 m and 1 q. 3/38 Calculate prob of picking 1 v, 1 k, and 1 q when three letters picked without replacement from {b: 2, k: 1, q: 1, y: 2, f: 1, v: 2}. 1/42 Two letters picked without replacement from mkmmmhxllx. Give prob of picking 2 x. 1/45 Two letters picked without replacement from {o: 3, n: 9}. Give prob of picking 1 n and 1 o. 9/22 Two letters picked without replacement from {m: 2, a: 1, k: 1, w: 2, q: 2, g: 1}. Give prob of picking 1 w and 1 q. 1/9 Four letters picked without replacement from {y: 7}. Give prob of picking 4 y. 1 Calculate prob of picking 4 w when four letters picked without replacement from {d: 3, w: 12, s: 3}. 11/68 Calculate prob of picking 1 m and 2 w when three letters picked without replacement from {m: 1, w: 2}. 1 Calculate prob of picking 3 u when three letters picked without replacement from uluuuuuuluuuuylyu. 11/34 Calculate prob of picking 2 o when two letters picked without replacement from qooqooo. 10/21 Four letters picked without replacement from ovvvoovooooovo. Give prob of picking 4 o. 18/143 Three letters picked without replacement from gbgudbwffdfbuuduf. What is prob of picking 1 w, 1 g, and 1 b? 3/340 What is prob of picking 3 r when three letters picked without replacement from {r: 6}? 1 What is prob of picking 1 a and 1 p when two letters picked without replacement from {f: 1, p: 1, a: 1, x: 6}? 1/36 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from efyeeefi. 1/28 What is prob of picking 1 c, 1 n, and 1 y when three letters picked without replacement from cyybnn? 1/5 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from xmvpvmxmvxrrmrmrvrv. 25/171 Two letters picked without replacement from fzkvzzfvufd. Give prob of picking 1 u and 1 k. 1/55 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {q: 1, p: 4, w: 1, c: 4, y: 3, b: 1}. 12/91 Two letters picked without replacement from {h: 3, i: 6, a: 1, n: 1, t: 2}. What is prob of picking 2 t? 1/78 Four letters picked without replacement from xxxxx. What is prob of picking 4 x? 1 Three letters picked without replacement from {u: 1, d: 6, o: 1, j: 2, n: 8}. What is prob of picking 1 o and 2 j? 1/816 Calculate prob of picking 3 q when three letters picked without replacement from {q: 5, g: 13}. 5/408 Two letters picked without replacement from {l: 5}. What is prob of picking 2 l? 1 Four letters picked without replacement from pgpipiipjjn. What is prob of picking 1 i, 2 n, and 1 g? 0 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {e: 1, b: 1, p: 1, c: 1, v: 1, x: 2}. 1/21 What is prob of picking 2 m when two letters picked without replacement from {b: 3, m: 4, r: 2}? 1/6 What is prob of picking 2 i when two letters picked without replacement from kwiwukiuikiui? 5/39 Two letters picked without replacement from wbwoamf. Give prob of picking 1 w and 1 f. 2/21 Two letters picked without replacement from imhqmxxhmdx. What is prob of picking 1 x and 1 q? 3/55 Three letters picked without replacement from dzdzpzdddgzzdzgpzz. Give prob of picking 3 d. 5/204 What is prob of picking 2 o when two letters picked without replacement from ooooooobobobboboob? 22/51 Calculate prob of picking 3 v when three letters picked without replacement from {m: 6, v: 7}. 35/286 Two letters picked without replacement from gggggggggggdggdggggg. What is prob of picking 2 d? 1/190 Calculate prob of picking 1 d and 2 s when three letters picked without replacement from {o: 12, s: 1, d: 1}. 0 Three letters picked without replacement from rreerrxreerrrr. Give prob of picking 2 e and 1 r. 27/182 Three letters picked without replacement from tmtttmtttttmttmm. What is prob of picking 3 t? 33/112 What is prob of picking 1 v, 2 f, and 1 k when four letters picked without replacement from {v: 2, k: 1, c: 1, g: 1, b: 1, f: 2}? 1/35 Two letters picked without replacement from cdq. Give prob of picking 1 c and 1 d. 1/3 Two letters picked without replacement from {b: 3, z: 1, s: 1}. What is prob of picking 2 b? 3/10 Three letters picked without replacement from {d: 2, t: 3, f: 6, c: 1, g: 2, h: 5}. What is prob of picking 1 c, 1 d, and 1 t? 2/323 Two letters picked without replacement from zzzuuzu. Give prob of picking 2 z. 2/7 What is prob of picking 1 b and 1 o when two letters picked without replacement from lodhhlihhhlbilh? 1/105 Two letters picked without replacement from {n: 2, h: 1, f: 1, w: 1, x: 1, p: 1}. What is prob of picking 1 p and 1 w? 1/21 Two letters picked without replacement from {g: 7, b: 3, f: 1, l: 4, a: 3}. Give prob of picking 1 f and 1 g. 7/153 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from wfrwwvwwr. 5/36 Three letters picked without replacement from {p: 1, m: 1, b: 3, n: 10, q: 4}. Give prob of picking 1 n and 2 q. 20/323 Two letters picked without replacement from kkk. What is prob of picking 2 k? 1 Calculate prob of picking 1 e and 2 v when three letters picked without replacement from vvaevvavevv. 14/55 Calculate prob of picking 2 j and 1 e when three letters picked without replacement from {u: 3, v: 3, e: 4, j: 4}. 6/91 What is prob of picking 3 x when three letters picked without replacement from xxoxoxoxxxxxxxxxxxxx? 34/57 Calculate prob of picking 2 q when two letters picked without replacement from qlqqjqjqnlnqljqqq. 9/34 Calculate prob of picking 1 e, 1 o, and 1 w when three letters picked without replacement from {w: 1, e: 2, q: 5, o: 5, b: 6}. 10/969 What is prob of picking 2 l when two letters picked without replacement from pldlolobddldbdlllb? 7/51 Calculate prob of picking 1 v, 1 h, and 1 i when three letters picked without replacement from ivhhqhvvhi. 1/5 Two let
{ "pile_set_name": "DM Mathematics" }
20 = 0 for r. -2 Let a be (-13)/((-39)/(-504))*(-168)/98. Solve -285*d = -a*d + 2*w + 6, -5*d + 4*w = -8 for d. 4 Suppose -12*z + 4*u + 142 = -9*z, -3*z + 137 = u. Suppose -z*m + 49*m - 6 = 0. Solve -25 = -y - 5*o, -y - o + 5 = m*y for y. 0 Suppose 6*v = -4234 + 4264. Solve -2*f + 28 = -4*d + 6, -f + 20 = -v*d for f. 5 Let t be (135/(-225))/((-6)/(-20)*(-4)/6). Solve -8*s + 9 = -3*g - 10*s, 5*s = -t*g for g. -5 Let z(f) = 36*f - 107. Let w be z(3). Let v be (-3)/w + (-15)/(-3). Solve -v*o = 5*m + 3*o + 10, 2*m - 2*o - 12 = 0 for m. 2 Let b = -8856 - -8865. Solve -3*v = -5*x - 8, -5*x = -4*v + b*v for x. -1 Let a be 3*-2 + 84 + (-90)/9. Suppose 3*b = c + 13, a = 2*c + 5*b + 39. Solve 2*v - 12 = -5*y + 19, 3*y = -c*v + 21 for v. 3 Let g be (-18)/(-195)*13*(-7)/(42/(-40)). Solve 0 = 3*d - 3*n, 2*d - 36*n = -38*n - g for d. -2 Let v be (-2 + 1 + 8)/1. Let z be 1*(-1 + v/7). Solve -2*b + b + 3*o + 6 = z, 5*b - 4*o + 3 = 0 for b. -3 Suppose -41 + 299 = 3*u. Let z = u - 83. Solve -3*i + 11 = 2*r, 4 = 4*r + z*i - 3 for r. -2 Let x = -4906 - -4939. Solve 2*u = 5*k - x, 0 = 3*k - u - 25 + 6 for k. 5 Let j = 9532 - 9508. Solve 0 = -5*l + 3*l + 5*q - j, 5*l = -q - 6 for l. -2 Suppose 3*g + 11 = 2*i, -3*i - 61*g = -63*g - 29. Solve 0 = 5*m - m - 12, m = 5*b + i for b. -2 Suppose 1309*y - 120 = 1279*y. Solve 3*l + l + 8 = y*b, -l - b - 2 = 0 for l. -2 Suppose 87*w + 85*w = 27*w. Solve w = q + 2*p - 17 + 21, 5*q = -p - 2 for q. 0 Let b(c) = c**3 + 5*c**2 - 49*c + 60. Let g be b(4). Solve 32*o + g = 36*o, -3*o + 1 = -5*s for s. 1 Suppose -12 = -2*v - u, -4*v - 4*u - 17 = -9*v. Let n be (24/10)/(-3)*v/(-2). Solve 2*f - 10 = 0, n*d + 3*f = 14 + 3 for d. 1 Let m = 4359 - 4333. Solve 21*x - 5*c + m = 20*x, 0 = 3*x - 5*c + 28 for x. -1 Let p be (-8 + 6)*(-1 + 0). Let c(b) = -14*b**3 + 4*b**2 - b - 4. Let m be c(p). Let x = 107 + m. Solve 4*r - 2*g + x = -9, 0 = -3*r - 3*g + 12 for r. -1 Suppose -6*b = 6*b + 2*b. Suppose -4*i - 9*a = -14*a + 7, -4*i + 3*a - 1 = b. Solve u = 4*o + 8, 0 = 2*o + u + i*u - 10 for o. -1 Let d(y) = -5*y**3 + 3*y**2 - 3. Let n be d(-1). Solve n*s = 5*t - 5, 2*t = -4*s + 3*s - 10 for s. -4 Suppose -2*n = k - 2*k + 7, -k + 3*n + 8 = 0. Suppose 3*l - 2*l - 6 = -w, k*w = -25. Solve c + l = -2*x, c - 22 = -2*c + 5*x for c. -1 Let u(y) = 111*y + 2336. Let i be u(-21). Solve -11 = 4*t + 1, i*d + 13 = -t for d. -2 Let a be 2/8 - (-8487)/164. Suppose 32*l - a = 12. Solve 3*j = -l*z + 4*j, -4*z = 4*j for z. 0 Let i(b) = 5*b**2 - 5*b - 33*b**3 - 2*b**2 + 34*b**3. Let f be i(-4). Solve f*c - 4*n + 36 = -0*c, 4*n = -2*c + 6 for c. -5 Let l be ((-135)/(-405))/(-2 + (-38)/(-18)). Solve -x = -4*x + 4*p + 8, l*x = 3*p + 6 for x. 0 Let a be 1/3*1 - 822/(-18). Suppose 3*g - 29 - a = 0. Let k be 4/(-10) + 85/g. Solve 2*v + 3*x - 8 = 0, k - 4 = 3*v - 2*x for v. 1 Let c(b) = -7*b + 2. Let m be c(2). Let s = m + 83. Suppose 3*q - s + 7 = -j, 0 = -q + j + 16. Solve 4*i + q = 2*r, -i = 7 - 3 for r. 2 Let b(m) = 2*m**3 + 8*m**2 + 2*m + 2. Let l be b(0). Solve 4*g - l*t - 2 = 0, -60*t = -4*g - 65*t - 33 for g. -2 Let f be 76/24 + (-6 - -14)/(-48). Solve 0 = 5*n + f*v, -8*v + 5*v = -n for n. 0 Suppose 5*p = -19*k + k + 90, -5 = 5*p - k. Solve p = 5*u + 5*m + 30, -2*u - 4*m = -9*m - 2 for u. -4 Let h be (-1 - ((10 - -3) + -16))/((-2)/(-8)). Solve -4 = -v - 2*u, -59*v + 54*v = 4*u - h for v. 0 Let g(b) = 2*b**2 - 3*b - 92. Let t be g(-7). Solve -5*h - 35 + 1 = 3*y, t = -3*h - 4*y for h. -5 Let b be 3 + -9 - (0 + -16). Solve -18*j + 23*j + 50 = -5*t, 3*t = j - b for j. -5 Let d(q) = -q**3 + 27*q**2 - 164*q + 63. Let o be d(15). Solve m - 298 + o = 0, -2*h + 9 = -m for h. 2 Let n = 2971 - 2968. Solve 0 = -n*g + 4*i - 15, -g + 2*i = 3*i + 5 for g. -5 Suppose b = c - 4, -4*b = -6*c + c + 19. Solve -c*i - g - 30 = -4*g, -5*g = 4*i + 4 for i. -6 Let y(z) be the third derivative of -z**5/60 - 17*z**4/8 - 94*z**3/3 - 41*z**2. Let n be y(-47). Solve -2*v + 6*v - 3*l = -20, -5*v + l - 14 = n for v. -2 Suppose 0 = s + 2*f - 11 + 9, 5*f - 18 = -9*s. Solve 6 = -2*t - t - 5*r, -t = -s*r - 9 for t. 3 Let c = 128 - 146. Let l(r) = 10*r + 183. Let u be l(c). Solve 0 = -9*s + 4*s - u*v - 12, -3*s = -v - 4 for s. 0 Let q be (-50)/5 + -2 + 42. Suppose -4 = -5*o + 3*o. Solve q = 3*c - 0*p + 3*p, 3*c - 25 = -o*p for c. 5 Let r(n) = -3*n - 38 - 60 + 29. Let b be r(-23). Solve -10 = 2*o, b = c + 4*o + 33 - 9 for c. -4 Let w(l) = 2*l + 9*l + 19 + 5*l - 16*l**2 + l**3 - 2*l. Let r be w(15). Suppose 0 = 8*g + r - 28. Solve 2*a - 31 = 5*q, g*a - 4*q - 26 = a for a. 3 Let h(p) = 142*p + 10. Let x be h(-1). Let b = 154 + x. Let v(q) = -4*q + 89. Let d be v(b). Solve -3*o + d = -4*s + 13, 5*o = -4*s - 20 for o. -4 Let p(i) = -i**3 + 6*i**2 + i - 3. Let u be p(6). Let n be 42/(-1) + (-6 - (-6 - -3)). Let b = n - -49. Solve -4*o + 9*o - 10 = u*y, 8 = -y + b*o for y. 0 Let o be 1138/10 - (-11)/55. Let m be ((-608)/o)/(4/(-6)). Solve l - 3*l + 4*r = m, -3*r = 5*l + 7 for l. -2 Let n(o) = -157*o - 937. Let d be n(-6). Solve 21 = -3*r + 3*f, 3*r - 8 = -d*f + 11 for r. -2 Let o = -22123 - -22123. Solve 33*t - 31*t + 5*r = 17, o = -5*t - 5*r + 20 for t. 1 Let a(b) = -5*b + 39. Let i be a(7). Solve -4*y + 7*y + 2*r + 3 = 0, -5*y = -i*r + 5 for y. -1 Let n = -26200 - -26202. Solve -t + 3 = n*s, -5*t - 13 = -3*s + 11 for t. -3 Let m = -491 - -494. Suppose m*n - 7 = 4*v - 23, 0 = 5*n - 4*v + 16. Solve -l = -2*z - n*l - 2, -4*l - 6 = -z for z. -2 Suppose 54*u - 212 = -4*u + 5*u. Solve 3*n - 2*h = -0*n - u, 0 = 3*n - 4*h - 4 for n. -4 Let h(m) = -11*m + 2. Let l be h(-4). Let j be (-3)/(-45)*2 + (-7612)/165. Let w = l + j. Solve -2*u + w*o - 18 = -4*o, -2*o - 6 = 4*u for u. -3 Let r = 45 + -43. Suppose 3*u - 7*u = -t - 25, r*u - 5*t = 35. Solve 4 = 2*l - u*d, l + 4*l - d = 10 for l. 2 Let a(f) = 6*f**2 + 55 - 26 - 37 + 47*f. Let m be a(-8). Solve -2*l + 2 = -3*o, 2 = 2*l - 2*o - m for l. 1 Suppose 0 = 4*d - 2*j - 206, -2*d - 1395*j + 1398*j = -101. Solve -3*s + 2*f + 23 = 0, -4*s - 3*f = -d + 44 for s. 5 Let g(v) = 3*v**2 - 49*v - 74. Let w be g(18). Solve l - 11 = w*z - 21*z, 3*l + 1 = 2*z for l. 1 Suppose 0 = 1102*k - 1087*k. Solve -6*z + 4*z = k, 3*p = -z + 9 for p. 3 Let j(f) = -158*f + 14696. Let d be j(93). Suppose 0 = -0*y + 3*y. Solve 4*u + d = -3*o, -4*u + 8 = -y*u - 2*o for u. 1 Suppose -19*a + 133 = -0*a. Suppose -a*f - f = -32. Solve 0 = f*r, -5*r = q - 4*q - 12 for q. -4 Let u(w) = 52*w - 460. Let d be u(9). Solve -7*l + 2*l - d = -2*o, -l + 3*o + 1 = 0 for l. -2 Suppose 0 = 4*i + 5*r - 1154, -5*i - 2*r + 630 + 821 = 0. Let l = i - 286. Solve -5*a - 4 - 4 = 3*n, -l*a - 4 = 4*n for n. 4 Let w(u) = u**3 - u - 10. Let p be w(0). Let c be 2/p + 112/35. Suppose 2*h - 3*y = -h + 6, -c*h = 5*y - 46. Solve -z - 5*b = -0*z - 23, 3*z = 4*b - h for z. 3 Let c(y) = 2*y**2 - 4*y - 25. Let o = -202 + 207. Let n be c(o). Solve -i + 1 = 2*p - 0*p, 5*i + n*p = -5 for i. -3 Let i = 93 - 74. Suppose 0 = -6*m - 1 + i. Solve v - w - 6 = -0*v, -m*w = 6 for v. 4 Suppose -13*w = -22*w + 40*w - 93. Suppose -5*a = -2*z - 3 - 16, 5*z + a = 20. Solve -5*y + z*p = -w*y - 1, 4*y - 3*p = -1 for y. -1 Let g = 1316 + -1311. Solve -4*t - g*b = 45, 5*t + 5*b = -0*b - 50 for t. -5 Let y(z) = -z**2 + 5*z + 107. Let c be y(-14). Let u = c + 162. Solve 7*q = 3*q - u*h + 11, 0 = q - 3*h + 1 for q. 2 Suppose 42 = 2*p + 2*c, 2*c = 4*p - 3*c - 84. Suppose 12*m = 7*m + 5*z, -5*z = 2*m - p. Solve m*f - 6 = d, -2*f + 7*f = -4*d + 27 for f. 3 Let h(k) = k**3 + 2*k**2 - 5*k - 3. Let v be h(-3). Suppose p + 2*c - c - 1 = 0, -3 - 1 = c. Solve -17 = -v*n - q, 23 = p*n + 3*q - 12 for n. 4 Let r be (24 + -2)/((-6)/(-3)). Suppose 3*x = -4*a - 11, 0 = 679*x - 674*x + 4*a - 3. Solve -t = 3*f + f + r, -f - x = -4*t for t. 1 Suppose 274*s - 2540 = 20*s. Solve -5*r = 5*b + s, -2*r = -5*b - 45 + 14 for r. 3 Let g be 96/36*(-6)/(-8). Let m(l) = l**g - 13 - 5 + 2 + l. Let d be m(4). Solve -5*a + 3*v + 25 = -v, -d*a - 21 = 5*v for a. 1 Let h be (-5)/5 - (-2 - 1). Suppose 3 + 1 = h*w. Let u be (-948)/(-68) - 16/(-272). Solve -5*n = -4*y + u, 0*y - 4*y - n = -w for y. 1 Suppose 8 - 2 = 3*v. Let r be ((-1 - -1) + 2)/(-1). Let p be (r/3)/((-5)/165). Solve 0 = -y - 2*c - v*c + p, -3*c + 15 = 0 for y. 2 Let v = 6799 + -6754. Solve -5*j + 4*h = -40 + v, h - 2 = 2
{ "pile_set_name": "DM Mathematics" }
e the remainder when o is divided by 24. 23 Suppose 3*m = 5*m - 8. Suppose -3*o = -j - 10, 0 = -9*j + 4*j - m*o + 45. Calculate the remainder when 7 is divided by j. 2 Let h(d) = 4*d + 9. Let f be h(-9). Let m = f + 55. Calculate the remainder when m is divided by 10. 8 Suppose r - 79 = -2*j - 4*r, 2*r = -j + 37. Calculate the remainder when j is divided by 10. 7 Suppose -3*l = -0*l - 24. Suppose 4*m - 9 = -7*x + 4*x, 2*m = -2*x + 4. What is the remainder when l is divided by m? 2 Let d be 10/4*(-16)/(-10). Suppose 0 = s - d*s + 9. Let o(a) = a**2 - 2. Calculate the remainder when 12 is divided by o(s). 5 Suppose 2 = 5*p - 13. Calculate the remainder when 7 is divided by p. 1 Let p = -24 - -39. Calculate the remainder when 10 is divided by (p/9)/((-10)/(-36)). 4 Let p(v) = 2*v**2 - 6*v - 7. Let b be p(5). Let u be -1 + -3*4/(-3). Let q = b + u. What is the remainder when 45 is divided by q? 13 Suppose 105 + 174 = 9*l. Calculate the remainder when l is divided by (-4)/(-6)*51/2. 14 Suppose 0*l - 4*y - 6 = 2*l, 0 = 4*l + y + 12. Let r(g) = -g**2 - 5*g + 7. Calculate the remainder when (2/3)/((-1)/l) is divided by r(-6). 0 Suppose 3*j - 18 - 81 = 0. Calculate the remainder when 131 is divided by j. 32 Suppose -3*n - 4*b + 71 = 0, -5*b + 58 = 5*n - 52. What is the remainder when n is divided by 5? 2 Let g be (-2)/(6/3) + 0. Let j = 2 + g. Calculate the remainder when 1 is divided by j. 0 Let y = -7 - -28. Calculate the remainder when 33 is divided by y/14*28/6. 5 Suppose -2*v + 6 = -0. Suppose 0 = h + 5*g - 66, -6 = v*g - 21. What is the remainder when h is divided by 14? 13 Suppose -6*p = -82 + 16. Suppose -3*a + 8 = -4. Suppose 0 = -h + a + 28. What is the remainder when h is divided by p? 10 Let k = -16 + 9. Let n(s) = -5*s - 1. Calculate the remainder when n(k) is divided by 18. 16 Suppose -4*u - u = -4*w + 45, 0 = -3*w - 4*u + 57. Calculate the remainder when -1*2 - 46/(-1) is divided by w. 14 Let h(p) = p - 12. Let g be h(9). Let m(a) = -10*a - 4. What is the remainder when 77 is divided by m(g)? 25 Let s(k) = -10*k**3 - 4*k**2 - 5*k - 3. What is the remainder when s(-2) is divided by 37? 34 Let m = -11 + 26. What is the remainder when m is divided by 4? 3 Let p = 38 + -25. What is the remainder when 36 is divided by p? 10 Suppose -3 = -3*m + 3*k, -2*m + 5*m + 3*k = 21. Let f(r) = 3*r**2 + 2. Let q(n) = 6*n + 5. What is the remainder when f(m) is divided by q(2)? 16 Let h = -8 + 19. Let x(u) = -u**2 - 3*u + 2. Let d be x(-4). Let n(c) = -2*c + 2. Calculate the remainder when h is divided by n(d). 5 Suppose -33 = -5*t + 12. Let l(j) = j - 9. Suppose 6*r = r + 65. Calculate the remainder when t is divided by l(r). 1 Suppose t + 12 = -28. What is the remainder when 10 is divided by (-18)/(-5) - 16/t? 2 Suppose 23 = 4*v - 29. What is the remainder when v is divided by 4? 1 Let g be (-2 - 6/(-9))*-3. Suppose 2*j + 38 = 6*p - 2*p, g*p + 5*j = 17. What is the remainder when p is divided by 5? 3 Suppose 0 = 2*n - 3*n + 3. Let v be ((-4)/n)/((-2)/6). Let s = v + -3. What is the remainder when 2 is divided by s? 0 Suppose l - 8 = -4*n + 7, 3*n - 50 = -2*l. Let r = 0 + 3. Suppose -13 = -r*y + 20. Calculate the remainder when l is divided by y. 9 Let t(r) = -r**2 + 4*r - 4. Let u be t(3). Calculate the remainder when 31 is divided by (8/10)/(u/(-10)). 7 Let t = 75 - 45. Calculate the remainder when 149 is divided by t. 29 Let y = -20 + 24. Calculate the remainder when 7 is divided by y. 3 Let m = -10 - -17. Let u be -2 + (2 - (0 - 0)). Suppose 2*v + 5*l - 24 = -0*v, -4*v + 2*l + 48 = u. What is the remainder when v is divided by m? 5 What is the remainder when 9 is divided by (10/3 - 1) + 260/156? 1 Suppose 23 = 3*b - 2*b + 3*v, 0 = -3*b + v + 79. Calculate the remainder when b is divided by 7. 5 Suppose 5*b + 139 = 449. Let g = 112 - b. Suppose 2*p = n + 15, p - 5*n = -4*p + g. Calculate the remainder when p is divided by 2. 1 Let m(d) = 18*d**3 - 2*d + 1. Calculate the remainder when 49 is divided by m(1). 15 Let h = 16 - 8. What is the remainder when -58*(-3 - (-10)/4) is divided by h? 5 Suppose 3*l + 10 - 46 = 0. What is the remainder when l is divided by 12? 0 Let i be (-2702)/(-3) - (-6)/(-9). Calculate the remainder when i/14 - 20/70 is divided by 22. 20 Let x = 154 + -129. What is the remainder when x is divided by 4? 1 Let r = -5 + 5. Suppose -3*g - 15 = -4*g. Suppose 0 = 2*s - 3*c + 5, 2*s - s - 4*c + g = r. What is the remainder when 12 is divided by s? 2 Let g = 34 + 6. Calculate the remainder when g is divided by 11. 7 Suppose o - 5*o = 2*j - 158, 2*o - 109 = 5*j. Let k = 28 - 17. What is the remainder when o is divided by k? 9 Let j(c) = c**3 + 3*c**2 - 4*c + 5. Let b(h) = 3*h**2 - 5*h - 2. Let o be b(-4). Calculate the remainder when o/5 - (-2)/(-10) is divided by j(-4). 3 Suppose 0 = 2*g + 2*g + 3*b - 51, -14 = -g - 2*b. Calculate the remainder when 46 is divided by g. 10 Suppose -3*d + 5*d = 0. Suppose d = -2*m + 5*m - 24. Suppose 4*p + m - 20 = 0. Calculate the remainder when p is divided by 2. 1 Suppose 0 = 5*o + 5*m - 105, 2*m + 32 = -3*o + 96. Calculate the remainder when 87 is divided by o. 21 Suppose 3*z - 6 = -0*z. Suppose -z*p + 20 - 4 = 0. Calculate the remainder when 22 is divided by p. 6 Let p(d) = d**2 + 7*d - 1. What is the remainder when 27 is divided by p(-8)? 6 Suppose 3*b - 71 = s, -3*b + 1 + 73 = 2*s. What is the remainder when 118 is divided by b? 22 Let n = 23 + 35. Calculate the remainder when n is divided by 30. 28 What is the remainder when 63 is divided by (-2 - (0 + 2 + -2))*-11? 19 Suppose 220 = -z + 5*z. Let m be 6/(-12) + 10/4. Suppose -5*f = -m*w - 70 - 21, 5*f + 3*w = 101. Calculate the remainder when z is divided by f. 17 Let a(p) = -2*p**3 - p**2 + p. Let y be (2/3)/(3/(-9)). Let h = 6 + -2. Calculate the remainder when a(y) is divided by h. 2 Suppose 0*j = 3*j, -4*j = -2*s + 6. Calculate the remainder when s is divided by 3. 0 What is the remainder when ((-114)/95)/((3/110)/(-1)) is divided by 15? 14 Let z(w) = 9*w**2 - 2. Calculate the remainder when z(2) is divided by 20. 14 Suppose 5*f + 4*d - 168 = 0, -3*f + 20 + 91 = -d. Calculate the remainder when 15 is divided by 4/10 + f/10. 3 Suppose 3*r - c = 42, 4*r + 2*c = 5*c + 61. Calculate the remainder when 48 is divided by r. 9 Let c be (-1)/(-4) - 51/12. Let p = 0 - c. Suppose -p*j + 48 = 4*w, -4*w = -j - 0 + 2. Calculate the remainder when j is divided by 6. 4 Let y(c) = -c**3 + 7*c**2 - 6*c + 3. Suppose 13*j - 12*j = 1. Calculate the remainder when y(6) is divided by j. 0 Let x = 8 - -31. Suppose 0 = -2*g - w + 9, -2*g + 2*w - 4*w = -8. Suppose 2*m = -4*t - 7 + x, -g*t = -3*m - 18. Calculate the remainder when t is divided by 4. 2 Suppose 2*t + 2 = 8. Let z(h) be the third derivative of h**5/30 - h**4/6 + 2*h**3/3 + 2*h**2. Calculate the remainder when 19 is divided by z(t). 9 Suppose 0 = -2*q + 17 + 3. Suppose -5*p + 150 = 5*b, 26 = -2*b + 3*b - 3*p. What is the remainder when b is divided by q? 9 Let m = 7 + -4. Suppose 21 - m = 3*h. Suppose 2*j - 52 = -5*c, h*j - j + 3*c = 92. Calculate the remainder when j is divided by 6. 4 Suppose 6*v + 29 = 527. What is the remainder when v is divided by 6? 5 Let v(m) be the third derivative of m**5/15 - m**4/8 - 5*m**3/6 + 3*m**2. What is the remainder when v(4) is divided by 12? 11 Let z(w) = -w**2 - 9*w + 1. Let q be z(-7). Suppose 0 = 3*m - 2*m - q. Calculate the remainder when 29 is divided by ((-6)/(-9))/(1/m). 9 Let m be 1 + -1 + -2 - -20. Let r = m - 27. Calculate the remainder when (0 + 3/r)*-57 is divided by 7. 5 Suppose d - 3*r = 0, d - 4*r - 3 = -5. Suppose b = 3*b - d. What is the remainder when 6 is divided by b? 0 Calculate the remainder when (37 - 1 - 0)/2 is divided by 11. 7 Let t(w) = -7*w + 6. What is the remainder when t(-2) is divided by 2 - (5*-1)/1? 6 Calculate the remainder when 91 is divided by (11/(-9) - (-2)/9)*-23. 22 What is the remainder when 42 is divided by 2/((-32)/(-5) + -6)? 2 Let c = 9 - -1. Suppose -3*u - w + 1 = 2*u, -3*u - 3 = -3*w. Suppose 5*l + 4*m - 156 = u, m = -l - 11 + 43. Calculate the remainder when l is divided by c. 8 Let s = 4 - 0. Suppose 0 = -7*v + s*v + 78. Let d = 5 - -4. What is the remainder when v is divided by d? 8 Suppose 2*h - 2 = -22. Let r(i) b
{ "pile_set_name": "DM Mathematics" }
ime factors of 328150. 2, 5, 6563 List the prime factors of 1961361. 3, 72643 What are the prime factors of 1759940? 2, 5, 7, 13, 967 What are the prime factors of 739275? 3, 5, 9857 What are the prime factors of 2221792? 2, 69431 What are the prime factors of 658556? 2, 61, 2699 What are the prime factors of 2123013? 3, 707671 List the prime factors of 1666622. 2, 31, 26881 List the prime factors of 24606679. 197, 124907 What are the prime factors of 137961? 3, 15329 List the prime factors of 5755425. 3, 5, 13, 5903 What are the prime factors of 80286? 2, 3, 13381 What are the prime factors of 399342? 2, 3, 19, 31, 113 What are the prime factors of 11060219? 1951, 5669 List the prime factors of 172797. 3, 239, 241 List the prime factors of 237122. 2, 53, 2237 List the prime factors of 998828. 2, 71, 3517 What are the prime factors of 4139711? 109, 163, 233 List the prime factors of 1250207. 7, 178601 What are the prime factors of 87571? 11, 19, 419 List the prime factors of 225587. 19, 31, 383 List the prime factors of 133328. 2, 13, 641 List the prime factors of 270462. 2, 3, 45077 List the prime factors of 149918. 2, 74959 List the prime factors of 448156. 2, 181, 619 List the prime factors of 2282550. 2, 3, 5, 15217 List the prime factors of 11838362. 2, 5919181 What are the prime factors of 8251343? 8251343 What are the prime factors of 16330192? 2, 359, 2843 What are the prime factors of 16823276? 2, 4205819 List the prime factors of 8568647. 8568647 What are the prime factors of 31240009? 19, 797, 2063 List the prime factors of 1206277. 1206277 List the prime factors of 558418. 2, 7, 39887 What are the prime factors of 4169935? 5, 7, 11, 10831 List the prime factors of 15662818. 2, 7831409 List the prime factors of 1844246. 2, 922123 List the prime factors of 397150. 2, 5, 13, 47 What are the prime factors of 1852112? 2, 115757 What are the prime factors of 329225? 5, 13, 1013 List the prime factors of 20638867. 17, 41, 29611 What are the prime factors of 3875335? 5, 19, 113 List the prime factors of 159332. 2, 61, 653 List the prime factors of 10139864. 2, 7, 25867 What are the prime factors of 3451089? 3, 1150363 List the prime factors of 1489216. 2, 23269 What are the prime factors of 1366160? 2, 5, 17077 List the prime factors of 635910. 2, 3, 5, 11, 41, 47 What are the prime factors of 1444831? 79, 18289 List the prime factors of 462799. 31, 14929 What are the prime factors of 2923641? 3, 7, 31, 499 What are the prime factors of 11830676? 2, 11, 13, 37, 43 List the prime factors of 139097. 7, 31, 641 List the prime factors of 25676635. 5, 5135327 List the prime factors of 26750263. 367, 72889 What are the prime factors of 340587? 3, 13, 41, 71 What are the prime factors of 58492? 2, 7, 2089 List the prime factors of 10635261. 3, 7, 13, 163, 239 What are the prime factors of 460960? 2, 5, 43, 67 List the prime factors of 1214504. 2, 151813 What are the prime factors of 4811908? 2, 1202977 List the prime factors of 104883. 3, 34961 What are the prime factors of 75611? 75611 List the prime factors of 5207222. 2, 59, 44129 List the prime factors of 1231606. 2, 43, 14321 What are the prime factors of 25333691? 179, 141529 What are the prime factors of 263592? 2, 3, 7, 523 List the prime factors of 1610133. 3, 7, 76673 What are the prime factors of 1222? 2, 13, 47 What are the prime factors of 6252545? 5, 13, 29, 31, 107 What are the prime factors of 75198? 2, 3, 83, 151 What are the prime factors of 13799492? 2, 7, 492839 What are the prime factors of 19607869? 191, 251, 409 What are the prime factors of 158509? 13, 89, 137 List the prime factors of 2527385. 5, 7, 72211 List the prime factors of 2213080. 2, 5, 61, 907 What are the prime factors of 318460? 2, 5, 15923 List the prime factors of 39479. 11, 37, 97 What are the prime factors of 13053222? 2, 3, 7, 13, 613 List the prime factors of 171344. 2, 10709 List the prime factors of 9010953. 3, 7, 139 What are the prime factors of 10873016? 2, 7, 11, 19, 929 What are the prime factors of 823744? 2, 61, 211 What are the prime factors of 157044? 2, 3, 23, 569 List the prime factors of 409054. 2, 17, 53, 227 What are the prime factors of 701097? 3, 17, 59, 233 What are the prime factors of 604745? 5, 79, 1531 List the prime factors of 281303. 11, 107, 239 What are the prime factors of 86033? 227, 379 What are the prime factors of 13225200? 2, 3, 5, 103, 107 What are the prime factors of 636115? 5, 29, 41, 107 What are the prime factors of 1389915? 3, 5, 67, 461 List the prime factors of 437759. 7, 23, 2719 What are the prime factors of 55168? 2, 431 List the prime factors of 4702664. 2, 587833 What are the prime factors of 608069? 7, 11, 53, 149 List the prime factors of 3033049. 71, 42719 List the prime factors of 890223. 3, 296741 What are the prime factors of 6628695? 3, 5, 441913 What are the prime factors of 526197? 3, 7, 25057 List the prime factors of 1429661. 1429661 What are the prime factors of 2129634? 2, 3, 13, 19, 479 What are the prime factors of 11082659? 7, 487, 3251 What are the prime factors of 11821349? 11821349 List the prime factors of 72655. 5, 11, 1321 What are the prime factors of 27651? 3, 13, 709 List the prime factors of 4257501. 3, 19, 113, 661 What are the prime factors of 1971471? 3, 37, 17761 What are the prime factors of 286723? 29, 9887 List the prime factors of 179686. 2, 13, 6911 List the prime factors of 954575. 5, 38183 List the prime factors of 638962. 2, 17, 18793 List the prime factors of 205727. 409, 503 What are the prime factors of 15464419? 97, 131, 1217 List the prime factors of 283935. 3, 5, 23, 823 List the prime factors of 458410. 2, 5, 45841 List the prime factors of 197999. 17, 19, 613 List the prime factors of 1593810. 2, 3, 5, 5903 List the prime factors of 11908733. 23, 607, 853 What are the prime factors of 159178? 2, 79589 What are the prime factors of 721388? 2, 180347 List the prime factors of 21848330. 2, 5, 7, 107, 2917 What are the prime factors of 46083? 3, 15361 List the prime factors of 22460835. 3, 5, 43, 97, 359 List the prime factors of 574902. 2, 3, 19, 41 What are the prime factors of 1406060? 2, 5, 229, 307 What are the prime factors of 569442? 2, 3, 94907 What are the prime factors of 1104379? 1104379 What are the prime factors of 1610761? 1610761 List the prime factors of 2069631. 3, 17, 167 List the prime factors of 998991. 3, 7, 101, 157 List the prime factors of 274072. 2, 34259 List the prime factors of 395652. 2, 3, 32971 What are the prime factors of 3213025? 5, 128521 List the prime factors of 270423. 3, 30047 What are the prime factors of 278194? 2, 7, 31, 641 List the prime factors of 11482146. 2, 3, 13, 49069 What are the prime factors of 1131306? 2, 3, 11, 61, 281 What are the prime factors of 112786? 2, 56393 List the prime factors of 1196680. 2, 5, 29917 What are the prime factors of 916806? 2, 3, 11, 29, 479 List the prime factors of 9305446. 2, 4652723 List the prime factors of 734086. 2, 241, 1523 What are the prime factors of 7075746? 2, 3, 393097 List the prime factors of 260637. 3, 13, 41, 163 What are the prime factors of 1610631? 3, 11, 17, 29 What are the prime factors of 10240682? 2, 67, 76423 What are the prime factors of 162591? 3, 11, 13, 379 What are the prime factors of 17693150? 2, 5, 47, 7529 What are the prime factors of 18899730? 2, 3, 5, 23333 What are the prime factors of 8296811? 67, 123833 What are the prime factors of 7090064? 2, 443129 What are the prime factors of 2380638? 2, 3, 13, 23, 1327 What are the prime factors of 396599? 7, 53, 1069 List the prime factors of 4504707. 3, 166841 What are the prime factors of 386883? 3, 7, 23, 89 What are the prime factors of 3894490? 2, 5, 191, 2039 What are the prime factors of 32045516? 2, 8011379 List the prime factors of 491663. 19, 113, 229 What are the prime factors of 5704130? 2, 5, 570413 What are the prime factors of 446078? 2, 29, 7691 List the prime factors of 257555. 5, 51511 What are the prime factors of 710934? 2, 3, 7, 16927 What are the prime factors of 5290367? 31, 47, 3631 What are the prime factors of 1011234? 2, 3, 7, 24077 List the prime factors of 9740682. 2, 3, 7, 73, 353 What are the prime factors of 30247? 7, 29
{ "pile_set_name": "DM Mathematics" }
s t(g) a composite number? False Let o(t) = -26*t**3 - 3*t**2 + t + 4. Let m(c) = c**2 - 1. Suppose -3*i - 10 = -8*i + 2*k, -17 = 2*i - 5*k. Let h(g) = i*m(g) + o(g). Is h(-1) prime? False Suppose -12*q + 132413 = 5*q. Is q prime? True Suppose 6 = -s + 3*s, 4*g - 3*s - 81139 = 0. Is g composite? False Let l be 1/5 + 56/20. Suppose m = -l*h + 15, -15 = -4*m + 2*m - 3*h. Is 12/48*(236 - m) prime? True Is 402185/14 + 55/10 composite? True Suppose 4*y = -i + 71089, y + y + i - 35543 = 0. Is y prime? False Let j = 25 + -27. Let a(c) = -336*c + 1. Is a(j) a prime number? True Suppose 0 = -0*x + 2*x - 5*q + 2, 4 = -4*x + 5*q. Is 4/(-18) - ((-33600)/54 + x) a prime number? False Suppose 21 = 11*w - 8*w. Let v(i) = 20*i - 16. Let h be v(w). Suppose h = 3*o - 71. Is o a composite number? True Is (28/(-84))/(1/(-71601)) composite? True Suppose 0 = -19*a + 18*a + 1039. Is a a composite number? False Is -3 - (-5 + 6 - 1167) composite? False Is (-15)/20 + (-319511)/(-4) prime? False Suppose -x + 416 = -269. Is x prime? False Let x = 11718 - 1520. Is x a prime number? False Suppose 0 = -15*s + 222940 + 338465. Is s prime? False Let c(p) = -3*p - 36 + 24 + 4*p**2 - 3*p**2. Let r be c(6). Is r/18 + (-316)/(-6) composite? False Let g(z) = -371*z**3 - 4*z**2 - 42*z - 148. Is g(-5) a composite number? False Let w = -7 - -10. Suppose w*j + 3*z - 27 = 0, 2*j - 5*z + z = -6. Suppose -2*q = -j*h - 851, 4*q + 0*q = 3*h + 1667. Is q prime? False Suppose 0 = -3*f - 0*f - 6. Let q(k) = -28*k**3 - 4*k**2 - 2*k - 1. Is q(f) a composite number? False Suppose -456 = -h + 330. Let s = h - 405. Is s a prime number? False Suppose 3 = -9*g + 10*g. Let z be -64*(10/(-4) + -2). Let r = g + z. Is r a composite number? True Let q(o) = 17*o**2 - o + 4. Let u(c) = 8*c**2 + 2. Let f(b) = 6*q(b) - 11*u(b). Is f(4) a composite number? True Suppose -12 = 3*i, -3*i - 162 = -2*g - 0*g. Suppose g*a - 77*a = -154. Is a prime? False Let d = 4471 + 516. Is d composite? False Let j(z) = 116*z - 31. Let i(n) = 581*n - 155. Let p(m) = 2*i(m) - 11*j(m). Is p(-3) composite? False Let l = 21338 - 2629. Is l composite? True Suppose 326505 = -2*m + 17*m. Is m prime? True Let u(g) = -386*g + 62. Is u(-30) a prime number? False Suppose -a + 2*n + 32 = 3*a, 5*a + 2*n - 40 = 0. Suppose -a*d + 3*d + 265 = 0. Is d a prime number? True Let o be 9/6*(-6)/9. Let v be 0/(o*(-1 - 0)). Suppose -3*k - 2*r + 107 = -v, -2*k - 3*r + 63 = 0. Is k a composite number? True Suppose v = 3*v - 6. Suppose -39 - 192 = -v*r. Is r composite? True Let h = -1356 - -2075. Is h a composite number? False Let p be (-3 + 10/4)*10. Let c(s) = 2*s**2 + 3*s + 12. Is c(p) a composite number? False Suppose 3*y - 6 - 6 = 0. Suppose 7*u - 3*u + 539 = 5*d, 5*d + y*u = 571. Is d a prime number? False Suppose -5*c + 3*f + 10462 = -21262, -f - 12689 = -2*c. Is c a composite number? False Let i = 14607 + 3988. Is i a composite number? True Suppose 13515 = 5*n + 1550. Is n prime? True Let j(l) = l**2 + l + 5. Suppose 0 = -3*i - 0*i + 3, -w = 4*i + 2. Is j(w) a composite number? True Let v(w) = 228*w + 69. Suppose -5*u + 25 = -5. Is v(u) composite? True Suppose 9*g - 15 = 21. Let z(l) = 201*l**2 + 12*l + 5. Is z(g) prime? False Suppose 0 = 12*m - 15*m - 18. Let v(a) = a**2 + 8*a + 6. Let d be v(m). Is (123/9)/((-1)/d) a prime number? False Suppose f - 30834 = -y, y + 6*f - 9*f = 30830. Is y a prime number? False Let l = -11926 - -22175. Is l a composite number? True Let f = 12016 - 5211. Is f prime? False Let p be 6/(-10) + (-178)/(-5). Is ((-6)/(-10) - p/(-25)) + 533 a prime number? False Is ((-391056)/96)/((-1)/2) a prime number? True Suppose -4935 + 1051 = -4*s. Is s a composite number? False Suppose 3*f + 2*z + 1 - 11 = 0, -f = -z - 10. Is (-9)/(-6) - (-9153)/f a composite number? True Let q(y) be the first derivative of -7*y**4 - 2*y**3/3 + y**2/2 - y + 17. Suppose 5*h + 14 = 4. Is q(h) a composite number? True Suppose -34*g + 3 = -37*g, m = -4*g + 170623. Is m prime? True Let j(z) = 1670*z + 407. Is j(25) prime? True Let i be 73/5 - (-2)/5. Is 358*(i/6 + -2) prime? True Let p be (0/(4/4))/(-1). Let g be (p/1)/(-2 + 0). Suppose 0 = s + 3*a - 306 - 140, -s - 2*a + 445 = g. Is s a prime number? True Suppose 13252 = 3*h - 5*h. Is h/(-2)*5/5 composite? False Let h = -2495 - -10782. Is h prime? True Suppose -o = -369 - 204. Suppose -34*m = -31*m - o. Is m prime? True Suppose -c - 5 = 0, -4*h - c - 3*c = -184. Is 6/(-4)*(-14246)/h a prime number? True Suppose 39 = -4*f + f. Let b(o) = o**3 + 13*o**2 - 4*o - 15. Is b(f) a composite number? False Let k = -2 - -2. Let s(m) = -m**3 - m**2 - m + 238. Let u be s(k). Suppose -u - 46 = -2*x. Is x a prime number? False Suppose -23670 = -14*u + 162404. Is u a prime number? True Is 297510/50 + 12/15 prime? False Suppose 0 = 4*i + 5*j - 16107, -i + 4*j + 3688 = -344. Suppose -f = -2*w - 1537, -3*w + i = 5*f - 3644. Is f composite? True Suppose -f = -3*l + 1454, l + f = 3*l - 971. Suppose -6*t + 3*t = -l. Is t composite? True Let z(y) = -457*y**3 + 3*y - 3. Let r(v) = v - 1. Let g(f) = 4*r(f) - z(f). Let x be g(1). Let h = x + -128. Is h composite? True Let a(o) = -3*o**3 - 2*o**2 - o + 17. Let w(t) = -3*t - 19. Let s be w(-5). Is a(s) prime? True Let w = -2565 + 7148. Is w prime? True Let o(c) = c - 1. Let y(m) = -576*m + 4. Let l(k) = 3*o(k) - y(k). Is l(12) composite? True Suppose -5*u + 65 = 5*i, 4*u = 3*i - 2 - 2. Let w = i + -6. Suppose -2*t + 678 = w*s + 2*t, 2*t + 1001 = 3*s. Is s composite? True Let r = -41 - -43. Suppose 3*h = -r*i - 0*i + 69, i = -3*h + 69. Is h composite? False Is (6 - (-88)/(-14)) + (-2438984)/(-56) a prime number? False Let i(l) = 22*l**3 - 3*l**2 + 8*l - 4. Suppose -6 = -d + 3*d, -2*u = -3*d - 19. Let h be i(u). Let o = h + -1752. Is o composite? True Suppose 3*d = 3, -5 - 39 = 5*t - 4*d. Let x = 38 + t. Let y = x + 52. Is y prime? False Suppose -13*b - 5225 = -2*b. Let g = b - -960. Is g a prime number? False Suppose 4700 = s - 4*g + 1217, 0 = -2*s + g + 7001. Is s a prime number? False Let h(l) = 94*l - 23. Is h(13) a composite number? True Suppose -12 = 3*b + 30. Let r = 85 + b. Is r a prime number? True Let n(w) be the first derivative of -2*w**4 + w**3/3 + w**2 + 4*w + 8. Is n(-3) prime? True Let k(z) be the first derivative of -z**3/3 + 13*z**2 + 29*z - 14. Is k(20) a prime number? True Let v be 1/(0 - (-1 + 2)). Let b(u) = 2 - 4 + 48*u**2 + 2 + 1. Is b(v) a prime number? False Let d be ((-10)/4 - -3)*538. Suppose 4*b - 281 - d = -3*o, 0 = 2*b - 2*o - 282. Let x = b + -96. Is x a prime number? True Suppose 2*r + 6 = -2*c + 16, -5*r + 22 = 2*c. Is (-4)/((-8)/5411) - c/2 a prime number? False Let t(j) = -331*j - 50. Is t(-27) a composite number? False Let r be 8/2 - (-2 + 3). Let o(d) = 4*d - 122. Let b be o(31). Suppose -2*q - 2*q + b*l = -284, -3*q + r*l = -213. Is q composite? False Let q = 483 - 218. Is q a prime number? False Let n = -197 + 328. Is n prime? True Let h be 0/((-1)/((-1)/2)). Suppose -8*m + 12*m - 11444 = h. Is m composite? False Let u(d) = 3*d**3 + 7*d**2 - 2*d - 3. Let r = 11 - 6. Is u(r) a prime number? False Let q(z) = 42*z + 41. Is q(24) a prime number? True Let d = -6448 + 10041. Is d prime? True Let k(n) = 2*n - 7. Let m be k(17). Is ((-117)/m)/((-1)/141) a composite number? True Suppose 451 = 7*y - 6*y. Suppose -7*z + 1440 = -2*z. Let x = y - z. Is x prime? True Let p = -9310 - -15221. Is p prime? False Let n(g) = -103*g + 527. Is n(-24) prime? True Suppose -3 = l - 4*m, 0 = 2*l - 0*l + 3*m - 16. Suppose -4*h - 4*z + 68 = 0, -l*z - 25 = -h - 2*z. Is h prime? True Let q(m) = -632*m - 69. Is q(-4) a prime number? True Let j(f) = 2*f**3 + 10*f**2 + 5*f - 13. Let k(q) = -q**2 + 6*q - 6. Let t be k(6). Let d be j(t). Let p = 192 + d. Is p prime? False Suppose 2*o = -o + 6. Suppose 3*h - 4*f - 1032 = o*h, 4*f - 1064 = -h. Suppose 5*k - g = h, 0*g + 2*g = -3*k + 621. Is k composite? True Suppose -5*m + 8*t - 4*t + 42525 = 0, -5*m = -2*t - 42535. Is m a prime number? False Let q(n) be the first derivative of 50*n**2 - 43*n + 36. Is q(13) a prime number? False Suppose 795 = -26*q + 29*q. Suppose -2*d + 27 = -q. Is d a prime number? False Let i(b) = b**3 - b**2 + b + 25. Let u be i(0). Let k(j) = 2*j**2 - 36*j + 23. Is k(u) a prime number? True Suppose 4*
{ "pile_set_name": "DM Mathematics" }
ative of -z**7/35 + 53*z**6/30 + 41*z**4/6 + z**3/2 - 4492*z**2. Find the second derivative of u(p) wrt p. -72*p**2 + 1272*p Let m be 18/(-144) + (9/8 - 1). Suppose -3*y - q + 16 = m, q - 2 = -y + 2. Differentiate -4 + 26 + y + 10*l**3 with respect to l. 30*l**2 Suppose 0 = -3*x + 17*w - 18*w + 4, 3*x - w = 8. What is the third derivative of -62*v**x - 14*v**6 - 37*v**6 + 8*v**6 wrt v? -5160*v**3 Let o(p) = -p**3 - 21*p**2 - 22*p - 37. Let d be o(-20). Find the second derivative of -54*k - 27*k**5 + 2*k**d + 8*k - 52*k + 52*k**5 wrt k. 500*k**3 + 12*k Suppose -7*v + 3 = -32. Suppose 3*b + 2*q - 52 = -0*b, 84 = v*b + 2*q. Differentiate -26*u - 6*u**2 + b + 26*u with respect to u. -12*u Let h(u) be the first derivative of -4/5*u**5 + 11/6*u**6 + 13*u**3 + 12 + 0*u**2 + 0*u**4 + 3*u. What is the third derivative of h(c) wrt c? 660*c**2 - 96*c Let q be (-54)/9 + 59/1. What is the first derivative of -88 + 58 + q - 107*f wrt f? -107 Find the third derivative of 3 - 965*x**2 + 563*x**3 - 4 + 444*x**2 + 1 wrt x. 3378 What is the third derivative of -5*s**5 + 149*s**2 + 39*s**2 + 531*s**2 - 58*s**3 - 1 - 158*s**2 + 765*s**2 wrt s? -300*s**2 - 348 Suppose 2*k - 20*w = -15*w - 1, w - 3 = 0. What is the third derivative of -4*x**4 + 107*x**2 + k*x**4 + 113*x**2 - 202*x**6 - 3*x**4 wrt x? -24240*x**3 Let t(s) = 892*s**2 + 300*s - 5. Let g(d) = -4460*d**2 - 1497*d + 28. Let o(f) = -2*g(f) - 11*t(f). Find the second derivative of o(c) wrt c. -1784 Suppose -h + 8 = -0. Suppose -12*k + h = -8*k. What is the third derivative of -y**2 + 0*y**2 + 0*y**2 + 4*y**k - 12*y**3 wrt y? -72 What is the derivative of -1125*i + 1336*i**2 - 3271 - 3552*i**2 + 1125*i wrt i? -4432*i Differentiate 327*b + 1225*b + 3025 - 2970*b - 4877*b with respect to b. -6295 Let n(j) = -22*j - 32. Let b be ((-12)/(-4))/1 - -2. Let q(a) = 127 + 40*a + b*a - 62. Let l(c) = 9*n(c) + 4*q(c). Find the first derivative of l(i) wrt i. -18 Let v(j) = -5*j**2. Let f(i) = -21*i**2 - 1. Let m = -145 + 163. Let z be (-8)/(-6)*(-11 + 8). Let r(c) = m*v(c) + z*f(c). Differentiate r(p) wrt p. -12*p Let h(d) be the third derivative of -d**7/210 + 47*d**6/10 - 11*d**5/20 + 7*d**4/8 - 3700*d**2. What is the third derivative of h(q) wrt q? -24*q + 3384 Let q(s) be the third derivative of -1067*s**6/12 - s**5/15 + 3*s**4/8 + 25*s**3/3 + 1266*s**2 - 2*s - 1. What is the third derivative of q(x) wrt x? -64020 Let h = 141 - 139. What is the third derivative of -94*p + 45*p - 4*p**4 + 43*p + 6*p**5 + p**5 + 7*p**h wrt p? 420*p**2 - 96*p Let u = 35 - 7. Suppose 16 = -6*z + u. What is the first derivative of 4*a**2 - 4*a**z - 558*a**4 + 533*a**4 + 21 wrt a? -100*a**3 Let b(s) = -2*s + 18. Let u be b(6). Differentiate -u - 203*p**3 + 104*p**3 - 77 + 86*p**3 wrt p. -39*p**2 Let z(b) be the first derivative of -43*b**6/3 + 4*b**5 + 121*b**3/3 - 1143. What is the third derivative of z(u) wrt u? -5160*u**2 + 480*u Let h(n) = -n**5 - 2*n**4 - n**3 - n. Let t(a) = 81*a**5 - 4*a**4 - 4*a**3 - 257*a. Let k(z) = 4*h(z) - t(z). What is the second derivative of k(w) wrt w? -1700*w**3 - 48*w**2 Suppose 45*y = -82*y. Let h(g) be the first derivative of -2 + 8*g + y*g**3 - 11/4*g**4 + 0*g**2. Differentiate h(o) with respect to o. -33*o**2 Let j(t) be the second derivative of t**6/15 - 49*t**4/6 + 789*t**2/2 + 1571*t. Differentiate j(r) with respect to r. 8*r**3 - 196*r Let l(u) be the first derivative of -47 - 101/3*u**3 + 121/4*u**4 + 0*u**2 + 0*u. What is the third derivative of l(h) wrt h? 726 What is the second derivative of -11599*c**2 - 76397936 - 4233*c + 76397936 wrt c? -23198 Let m(c) be the second derivative of -4597*c**4/12 - 6619*c**2/2 + 1704*c + 1. What is the derivative of m(a) wrt a? -9194*a Let o(s) = 4*s + 26. Let m be o(-10). Let y = 16 + m. What is the third derivative of v**2 - v**6 - 2*v**y - 6*v**2 - 6*v**6 wrt v? -840*v**3 Find the second derivative of 447*n - 40039*n**2 + 700*n**3 + 40039*n**2 + 92*n**3 wrt n. 4752*n Let i be 0 + 4/(-10) - (-74)/10. Suppose 4*g = -i - 5, 0 = 4*p + 5*g + 3. What is the second derivative of p*h - h**3 + h - h wrt h? -6*h Suppose 0*b = -4*b. Let w = 20 + b. What is the first derivative of 1327*a - 1327*a + 19 + w*a**4 wrt a? 80*a**3 Let w be ((-207504)/135)/(-8) + 2/(-15). Differentiate -180*r**2 - 297*r**2 + w + 145 + 355*r**2 with respect to r. -244*r Find the third derivative of -24 - 6*o + o + 5*o - 555*o**4 - 22*o**2 + 1224*o**4 wrt o. 16056*o Let n(k) = 564*k**2 + 13*k - 2590. Let f(l) = 282*l**2 + 8*l - 1296. Let g(b) = 5*f(b) - 3*n(b). Differentiate g(h) wrt h. -564*h + 1 What is the second derivative of -3838*l**2 + 95*l - 1888*l**2 + 644*l**2 - 143 + 69 + 75 wrt l? -10164 Let y(t) be the second derivative of -71/10*t**5 + 0*t**2 + 1/30*t**6 + 0*t**3 + 138*t + 0 - 31/4*t**4. Find the third derivative of y(o) wrt o. 24*o - 852 Let o(l) = -32*l**2 - 52*l - 11. Let c(k) = -2*k**2 - k + 13. Let i(r) = -15*c(r) + o(r). Differentiate i(m) wrt m. -4*m - 37 Let w(i) = -i**3 - 3*i**2 - 1. Let z(b) = -24*b + 619*b**3 - 11*b**2 - 316 + 2*b**2 - 621*b**3. Let o(j) = 3*w(j) - z(j). Differentiate o(g) with respect to g. -3*g**2 + 24 Let o(q) = 153*q**2 + 12*q - 132. Let f(c) be the first derivative of 305*c**3/3 + 13*c**2 - 263*c + 165. Let i(b) = 6*f(b) - 13*o(b). Differentiate i(p) wrt p. -318*p What is the second derivative of -116*q - 712*q**4 + 733*q**4 + 120*q + 2465*q - 375*q**4 wrt q? -4248*q**2 Suppose -2*d + 39 = 3*l, 3*d - 4*l = l + 87. Let b be 26/4 + 7/56*-20. What is the second derivative of n + 43*n**2 - d*n**2 + b*n wrt n? 38 Let u(r) be the second derivative of 1823*r**6/15 + 214*r**2 - 3424*r. What is the derivative of u(v) wrt v? 14584*v**3 Let q(x) = 2*x**2 - 24*x - 4. Let c be q(12). Let f(u) = -3*u - 8. Let k be f(c). Find the first derivative of -1 + 7 + 1 - 4*w + k wrt w. -4 Let a(b) = 2*b + 6. Let y be a(0). What is the third derivative of 48*c**6 - 113*c**6 + 24*c**y - 26*c**2 wrt c? -4920*c**3 Let l be ((-1 + 0)/1)/(5/(-25)). Suppose 7 = 3*w + l*x, w + 1 = -7*x + 2*x. What is the derivative of -15 - 32*k**3 + 32*k**3 - k**w wrt k? -4*k**3 Let a(k) = -2150*k**4 + 17*k**3 - 4772*k**2. Let s(v) = 1075*v**4 - 8*v**3 + 2386*v**2. Let z(g) = -6*a(g) - 13*s(g). Find the third derivative of z(f) wrt f. -25800*f + 12 Let p(m) be the second derivative of 112*m**5/5 + m**4/6 + m**3/2 + 11075*m**2/2 - 6099*m. Differentiate p(k) wrt k. 1344*k**2 + 4*k + 3 Let a(z) be the first derivative of 3785*z**4/4 - 2196*z**2 + 8658. What is the second derivative of a(f) wrt f? 22710*f Let a be ((-118)/(-295))/(1/65). Differentiate -8 + 42 + 9*v**4 + a + 6 with respect to v. 36*v**3 Let c(l) = 411*l**3 + 456*l**2 - 4*l + 12. Let s(p) = -823*p**3 - 913*p**2 + 7*p - 21. Let d(r) = 7*c(r) + 4*s(r). What is the third derivative of d(z) wrt z? -2490 Find the third derivative of 58*d + 26628*d**3 - 58*d + 2412*d**2 - 24122*d**3 wrt d. 15036 Let z(q) be the third derivative of 46*q**5/5 + 2963*q**4/24 - 171*q**2. Find the second derivative of z(h) wrt h. 1104 Let h(k) be the first derivative of -41*k**7/105 - 73*k**3/6 + 3*k**2 + 25. Let c(a) be the second derivative of h(a). What is the derivative of c(w) wrt w? -328*w**3 Find the second derivative of 5496*m - 8490*m**5 - 8*m**2 - 5538*m + 2*m**4 - 128 + 8*m**2 wrt m. -169800*m**3 + 24*m**2 Let c be 40/(-16)*(-12)/10. Differentiate 7*w**c - 22 + 0*w**3 - 13*w**4 + 12*w**4 - 3*w**3 with respect to w. -4*w**3 + 12*w**2 Let l(f) = f**3 - 3*f**2 + 6*f - 13. Let h be l(3). What is the first derivative of -70 - 9*c**2 - 116*c**3 + 14*c**2 - h*c**2 wrt c? -348*c**2 Let i(m) be the first derivative of 0*m**3 + 31 - 1/2*m**4 + 0*m**2 - 11/5*m**5 + 53*m. Find the first derivative of i(s) wrt s. -44*s**3 - 6*s**2 Let t(f) = 3. Let x(s) = 215*s + 35. Let a = 187 + -185. Let u(v) = a*t(v) + x(v). What is the first derivative of u(i) wrt i? 215 Let a(v) = v**2 - 2*v - 2. Let l(k) = 700*k**2 - 1187*k + 8. Let f(i) = -4*a(i) - l(i). Find the second derivative of f(m) wrt m. -1408 Suppose 3*z - 122 = -3*p + 136, 4*z + p = 332. Find the third derivative of z*r**6 - 58*r**6 + 14*r - 5*r**2 - 55*r**6 + r**3 wrt r. -3720*r**3 + 6 Let w(t) be the second derivative of -349*t**3/3 + 416*t**2 - 1738*t. Find the first derivative of w(k) wrt k. -698 Let u
{ "pile_set_name": "DM Mathematics" }
s the nearest to 1/2? (a) -0.1 (b) -512 (c) -4/7 (d) -2/9 a Which is the closest to -2/5? (a) 23/2 (b) 11 (c) -1107 b Which is the nearest to -2/7? (a) 0 (b) -3.7 (c) -1.85 (d) -0.4 d Which is the closest to -0.0417? (a) 2/11 (b) -4 (c) 3 a Which is the closest to -3/5? (a) -1 (b) -27 (c) -2/971 (d) 4 a Which is the closest to -0.1? (a) 0 (b) -2/7 (c) 6393 (d) 4/7 (e) -0.4 a Which is the nearest to -1? (a) -2/3 (b) 10 (c) 42 a Which is the closest to 2/7? (a) 2 (b) -0.23 (c) -903 (d) 0.2 (e) 1 d Which is the closest to 2/3? (a) 1 (b) -183 (c) -1/14 a What is the closest to 0.01 in -80, 0, -1/25? 0 Which is the closest to -1232? (a) -0.4 (b) 1/7 (c) 1/2 (d) -3/5 (e) 1/4 d Which is the closest to -11/36? (a) 0.5 (b) 7 (c) 19 a What is the nearest to 2/137 in 0.4, 1/17, 2/9, 2/11? 1/17 What is the closest to 1 in 0.117, 5, 0.2, -0.2, 3/2? 3/2 What is the closest to 0.1 in 27, 0.2, 1/28? 1/28 What is the closest to -0.1 in 1/12, -2/11, 2/11, 2/5, -3/23? -3/23 What is the nearest to 119 in 5, 2/459, -2/9? 5 What is the nearest to 0 in -3/8, 176, -2/5, 2/7? 2/7 Which is the closest to 0.1? (a) -11 (b) 0 (c) 2/29 (d) 4 (e) -0.5 c What is the nearest to -2/3 in 11, -4, -1, 7/5, 2/3? -1 What is the closest to 0 in -5, 1/4, -0.31, -4/3, 0.48? 1/4 What is the nearest to -0.2 in -11/2, 3.22, 6, 0? 0 What is the nearest to -7 in -0.05, 251, 4? -0.05 What is the nearest to 81.3 in 0.6, -4, -3? 0.6 What is the closest to -0.1 in -41, 6/7, 0.5, -4, -5/2? 0.5 What is the nearest to -1 in -48, 0.8, 0.5, 1.2, -7/5? -7/5 What is the closest to -249 in 2, -3, -4, -2? -4 Which is the closest to -0.03? (a) 11 (b) 2/15 (c) 2.5 (d) 2/3 (e) -1/6 e Which is the closest to -3/5? (a) 0.4 (b) -2/3 (c) -2035.1 (d) 3 b Which is the closest to 0? (a) -1 (b) -16 (c) 105/2 a Which is the closest to -1/4? (a) 3 (b) 1 (c) -153/55 b Which is the closest to 0.08? (a) -13 (b) -4 (c) 0.1 (d) -0.34 c Which is the closest to -0.3? (a) 1 (b) 49/4 (c) -0.02 (d) -3/5 (e) -0.2 e Which is the closest to 3/214? (a) -0.2 (b) -3 (c) 0.4 (d) 3/2398 d Which is the closest to 1? (a) -1.1 (b) 2/5 (c) -4 (d) 0.3 (e) -64 b Which is the nearest to 1? (a) -0.064 (b) -2/11 (c) -4 (d) -0.5 a What is the closest to 42 in -2/3, 1, 1/3, 18, 0? 18 What is the nearest to 1/230 in -2/231, 1, -2, 2/17? -2/231 What is the closest to 0.1 in 67, -0.5, -3, -4, -15? -0.5 Which is the nearest to -0.2? (a) -152 (b) 7/2 (c) -0.3 (d) 5/4 c What is the closest to 3 in -1, 34, 0.3, -5? 0.3 What is the nearest to -2 in 2/17, -1, -4, 4? -1 What is the nearest to -4.4 in 0.16, -3/4, 4? -3/4 What is the nearest to -1.2 in -1/2, 721, 4? -1/2 Which is the nearest to -4/5? (a) 2 (b) -21 (c) 2/9 (d) -1/5 (e) 2/13 d What is the closest to -1/5 in 5, 26, 0.612? 0.612 What is the nearest to -5.5 in 0.1, -1/3, 20, 1? -1/3 What is the nearest to 0 in -0.4, 716/3, 48? -0.4 What is the closest to 1 in -25, -5.9, 3? 3 Which is the closest to 0.1? (a) -0.05 (b) -2/25 (c) -5 (d) 4/7 a Which is the closest to 74? (a) -1 (b) -3/10 (c) 6/5 (d) 3 d What is the nearest to -2 in -3/5, -0.06, 8, 3? -3/5 What is the closest to -1/3 in 0.2, 2/57, -30? 2/57 What is the nearest to 2 in -2/15, 6, 5/8, -0.4? 5/8 Which is the nearest to 1/4? (a) -941 (b) 0 (c) 5 b What is the closest to -0.51 in 2, -0.03, -0.4, 3? -0.4 What is the closest to -1/3 in -12, 0.5, -152? 0.5 Which is the nearest to -3? (a) 2 (b) 0.053 (c) 5/2 (d) -5/3 d What is the closest to -0.3 in 5, -0.5351, 3? -0.5351 What is the closest to 2/17 in -2.5, 1, 4? 1 What is the closest to 6/5 in 0.1, 5, 17927? 0.1 What is the closest to 51 in 3, -3.7, -36? 3 What is the nearest to -6 in 3, -2, 0.46, -3? -3 What is the nearest to -1/6 in 4/39, -2, 13/6? 4/39 What is the nearest to -0.06 in -185, -5, 0.6, -26? 0.6 Which is the closest to -0.1? (a) -0.1 (b) -5 (c) 288/19 a What is the closest to 3 in 0.2, -0.147, 0.24? 0.24 Which is the nearest to -0.24? (a) -5 (b) -25 (c) 2/29 c What is the closest to -1.2 in -2/9, -0.1, -4, 17? -2/9 Which is the nearest to 166? (a) -3 (b) 1.6 (c) 0 (d) -4 b What is the closest to 2/237 in 29, 1, -5? 1 Which is the nearest to 143? (a) -0.1 (b) 0.11 (c) -0.4 (d) -4/3 (e) 0.05 b Which is the closest to 3/29? (a) -1 (b) 1/4 (c) 0.1 (d) -163 c What is the nearest to -0.27 in 0.1, 19, 1? 0.1 What is the closest to 117 in 2/9, -0.09, -0.02, -3? 2/9 What is the nearest to -6392 in -0.5, 1/7, 2/9, -4? -4 Which is the nearest to 2/3? (a) -3/4 (b) 0.58 (c) 50 b What is the closest to -4 in -4, 1/3, 1/4, 1/8, -161? -4 Which is the closest to 2/7? (a) 0.206 (b) 2 (c) 1/3 c Which is the nearest to 101? (a) -3 (b) -0.01 (c) -0.36 (d) 0.3 d What is the closest to -2.96 in -31, -4/7, -2/7? -4/7 Which is the closest to -9? (a) -228 (b) 4 (c) -0.3 (d) -2/17 c Which is the closest to -145? (a) 10 (b) -4 (c) -1/41 b Which is the nearest to 0? (a) -8 (b) -16 (c) -2 (d) -0.2 (e) -6 d What is the closest to -7 in 96, -0.6, 0.4? -0.6 What is the closest to -1840 in -0.4, 1/12, 4? -0.4 What is the nearest to 6 in -23, 38/3, 3/8, -0.1, -1/2? 3/8 What is the closest to 2/5 in 5, 3/8, -20670? 3/8 What is the closest to -0.1 in 22, 0.06, -1/29? -1/29 What is the nearest to 89 in -1.1, 5, 2/7? 5 Which is the closest to -0.07? (a) -2 (b) 14 (c) 5 (d) -0.17 d Which is the closest to -7? (a) 1 (b) -1 (c) 5 (d) 3 (e) 201 b What is the closest to 1/4 in -4, 2, -1/15, 1, -3/4? -1/15 Which is the nearest to -0.6? (a) -626 (b) 5 (c) -2/13 c Which is the closest to 0.3? (a) 4 (b) -1/5 (c) 8 (d) 2/15 d What is the nearest to -1/4 in 1/5, -48.1, -40? 1/5 What is the closest to 0.1 in 0.8, -122, 60? 0.8 Which is the closest to 0.34? (a) 5 (b) -6/11 (c) 12 (d) 11/6 (e) 0 e Which is the closest to 543? (a) -0.05 (b) -3 (c) 0.5 c Which is the closest to 1/3? (a) -5 (b) 4 (c) -74029 (d) -4 b What is the closest to -154 in -29, 4/3, 2/11? -29 Which is the nearest to 0? (a) -18 (b) -2/9 (c) -3 b What is the closest to -2/9 in 19.5, 0.2, -0.3, 0.5? -0.3 Which is the closest to 11? (a) 2/9 (b) -1/6 (c) -5 (d) -92 (e) 5 e What is the nearest to 15.59 in -298, -5, -0.2? -0.2 Which is the closest to 4? (a) -0.552 (b) -1.31 (c) 1 c Which is the closest to 0.1? (a) 0.068 (b) 6 (c) -1 (d) -9 a Which is the nearest to -2? (a) -1/258 (b) 3 (c) -34 (d) -0.1 d Which is the nearest to -25? (a) 3/5 (b) 5 (c) 0 (d) -0.1 (e) 3 d Which is the nearest to -0.3? (a) -7 (b) 2 (c) -0.021 (d) -2 c Which is the nearest to -0.3? (a) -0.5 (b) 113 (c) 5 (d) -2/17 d Which is the nearest to 0? (a) 8 (b) 202/11 (c) -3 c What is the closest to 0.4 in 0.9, 2, -0.2, -21? 0.9 Which is the nearest to 2/15? (a) 6 (b) 643 (c) -2 c What is the closest to 27 in -2, 14, 3/4, 2/5? 14 What is the nearest to -1 in -0.5, -3, 176.4, -0.7? -0.7 What is the closest to 0.2 in 1, -123, -2, 115? 1 Which is the nearest to 2/3? (a) 0.2 (b) 0.1 (c) 2/11 (d) -76 (e) 6/11 e Which is the nearest to 2/5? (a) 1 (b) -0.21 (c) 9 (d) 5 (e) 6/7 e Which is the nearest to 3? (a) 0.4 (b) -15 (c) 4 (d) 3 (e) 1.2 d Which is the nearest to 0.5? (a) -0.051 (b) 582 (c) 0.2 c Which is the closest to -1/9? (a) -9 (b) -0.75 (c) 3 b What is the closest to 2 in 1/7, 0.1, 14, 63/2, -2/7? 1/7 What is the nearest to 9/5 in -1/3, 0.5, 5, 3? 3 What is the nearest to -2.2 in 0.084, -4, 0.4? -4 What is the closest to -0.1654 in 0.4, -0.3, 5, -5/3? -0.3 What is the nearest to 1 in 1/9, 22, -2? 1/9 What is the closest to -1 in 0.1, -7/22, -103? -7/22 Which is the nearest to 246? (a) 2/57 (b) -5 (c) 3 c What is the nearest to -2/13 in -4/11, -2/13, -2/147, -1/6? -2/13 What is the nearest to -0.04 in 1.02, -1/5, 4, 0? 0 What is the nearest to 2/12639 in -4, -3/5, 3? -3/5 What is the nearest to -1/3 in 2/3, -7/20, 0, 26? -7/20 What is the closest to 3 in 0.4, 0.42, -31, -1/5? 0.42 Which is the closest to 1? (a) -2315/2 (b) -4 (c) 5 (d) 0.1 d Which is the nearest to 8/9? (a) 1/8 (b) 1 (c) 12 (d) 0.3 b What is the closest to -37.7 in -0.2, 4, 0.09, 1? -0.2 What is the nearest to -37 in -5, -40, -0.2, -0.5? -40 What is the nearest to 0.1 in -14/5,
{ "pile_set_name": "DM Mathematics" }
ose -5*i = -0*i. Let h be i - (1 + 1 + -5). Suppose 0 = h*o - 2*o - 51. Is o composite? True Let m(f) = -f**3 + f**2 + f + 4. Let u be m(0). Let n be (-14)/(-21) - u/6. Suppose n = -2*t - 0 + 74. Is t prime? True Suppose -14*y + 5*y = -7173. Is y prime? True Suppose -2*w = -15 - 17. Suppose -w - 63 = -u - 4*b, -4*u + 327 = 5*b. Is u prime? True Suppose -2*k = p - 29, -k - 50 = -6*k + 2*p. Let f = 17 - k. Suppose -126 = -2*v - v + f*n, 0 = -n - 3. Is v composite? False Let q = 9 - -62. Is q composite? False Suppose 5*m + 6*x - 305 = 5*x, -4*x = 3*m - 166. Suppose 199 = 3*s - m. Is s a prime number? False Let d(p) be the first derivative of p**4/4 + 10*p**3/3 + 4*p**2 - 6*p - 5. Let k be d(-9). Suppose -2*o + k*n + 0*n + 793 = 0, n = -1. Is o prime? False Suppose 0 = -4*x + 2*t + 116, -4*t = -x - 2*t + 23. Is x prime? True Let n(h) = -h - 11. Let p be n(-7). Let s = 5 + p. Is (0/3)/s + 38 composite? True Let n = -7 + 10. Let o(f) = 31*f**2 - 2*f + 1. Let p be o(1). Suppose -p = -t + n. Is t prime? False Let q = 5 + 1. Let y = 6 - q. Suppose -b + 6*b - 435 = y. Is b a composite number? True Let u(z) be the first derivative of -z**6/360 - 11*z**5/120 - 7*z**4/24 + 2*z**3/3 + 2. Let n(k) be the third derivative of u(k). Is n(-7) a prime number? False Let f(r) = -17*r**2 - r + 5. Let h(i) = 52*i**2 + 3*i - 14. Let n(u) = 11*f(u) + 4*h(u). Let j be n(1). Suppose -m = -j - 14. Is m composite? True Let j(c) = 67*c**2 + c + 11. Is j(-4) composite? True Let q = -5 - -8. Is (12/2)/q + 201 prime? False Suppose 0*q - 3*u + 239 = 5*q, -q - 4*u + 41 = 0. Is q a composite number? True Let r(y) = -y**2 + y - 3. Let t be r(3). Let f be -2*t/(-15)*5. Is 4/f + (-58)/(-6) a prime number? False Suppose 0 = 5*m - 2*m - 2*a - 8, m - 3*a + 9 = 0. Suppose -4*v + y = -52, v - y - y = m. Let q = 37 - v. Is q composite? False Let s = 1 + 1. Suppose 6*y - s*y = 808. Suppose -3*a - 3*o = 2*o - y, -a = o - 68. Is a prime? False Suppose -4*x = -c - 128, 0 = -0*x - 4*x - 3*c + 112. Is x composite? False Let g be (813/(-3))/((-2)/(-4)). Let t = g + 1021. Is t a prime number? True Suppose -y + 0*y + 1 = 0. Suppose 2 = -3*d - y. Let q(a) = 50*a**2 + 1. Is q(d) composite? True Suppose -6*o + 4*o = 2*c + 8, 0 = -5*c - 4*o - 16. Suppose c = p - 2, -2*d = 5*p - 252. Is d composite? True Suppose 3*v + 10 = 8*v. Suppose 784 = 2*i + v*h, -4*h = -9*h - 5. Is i composite? True Is (390/(-9))/((-6)/9) a composite number? True Is (-2736)/(-7) + (-24)/(-168) a prime number? False Let l(o) = -5*o**3 - 9*o**2 + 7*o - 5. Is l(-6) prime? True Let c be 1 + -1 + (0 - -33). Suppose 4*d - 151 = c. Is d prime? False Suppose 2*j + 2609 = 3*j. Is j composite? False Let y = -6 + 6. Suppose y = 2*a + f - 155, 3*f + 153 = 2*a + 2*f. Is a a composite number? True Let h(z) be the third derivative of z**4/4 + z**3/6 - z**2. Is h(2) prime? True Suppose -2*a - 3*c + 2 = -11, 13 = 3*a - 2*c. Let j = a - 4. Is (-1 - -1 - -2) + j prime? True Let v(x) = x + 10. Let p be v(-8). Let k(s) = 7*s**2 - 3*s**2 - s - 4*s**3 + 1 + 5*s**3 + p*s. Is k(-3) prime? True Suppose 2*o - 9 = o. Let k be ((-18)/(-8))/(o/480). Let b = k + -74. Is b a prime number? False Suppose -a - 3*a + 1812 = 0. Let v = 5 - 3. Suppose 2*t = -v*l + 178, a = 5*l - 0*t + t. Is l a composite number? True Let v(l) = 2*l**3 - 4*l**2 + l + 2. Let k be v(2). Suppose k*o = -231 + 2911. Suppose 4*i = o - 186. Is i composite? True Let n(d) = -d**3 + 2*d**3 - 5*d + 2 + d + 8*d**3 - 2*d**2. Let c be n(3). Is (1 + 1)*c/10 a composite number? False Suppose -2*x = -x + 4*o + 8, 0 = x - 4*o - 8. Suppose x*f = f - 253. Is f composite? True Let n be (-862 + 3)*-1 - -2. Suppose -2*l + 5*l = n. Is l prime? False Let x(i) be the second derivative of -i**5/20 + 5*i**4/6 - 7*i**3/6 - 11*i**2/2 + 2*i. Is x(9) prime? True Suppose 3*h - 9 = 3*x, -3*x + 1 = -2*h + 3. Is (h/(-4))/((-3)/12) a composite number? False Let s(o) = -o**2 + 15*o + 4. Let l be s(15). Suppose 0 = q - l - 9. Is q composite? False Suppose -w + 74 = b + 22, 3*b = 0. Let a be 469/(-28) + 1/(-4). Let r = a + w. Is r prime? False Let d = 235 - 125. Suppose -o + d = o. Is o composite? True Suppose 5*c + 5*z = -2950 + 900, -4*z + 400 = -c. Let u be (6/8)/((-2)/c). Suppose -232 = -3*q - b, 2*q = 2*b - b + u. Is q composite? True Suppose 5*g = 4*g + 91. Suppose -2*s = -g - 1. Is s a composite number? True Let i = 52 - -118. Let g = i + -21. Is g a prime number? True Let l = 593 - 194. Let z be 2/5 + l/15. Let r = z + 7. Is r prime? False Let d be (2 - 0/4) + 1969. Suppose -4*v + d = 23. Is v a prime number? True Suppose -2*c - 3*c - 15 = 0. Let p = 5 + 4. Is 15/(-3*c/p) composite? True Let n(d) = 210*d**2 + 4*d - 13. Is n(5) a prime number? False Let l(h) = 13*h + 5. Suppose -5*j = -2*j - 18. Is l(j) a prime number? True Let x be 565 - (-1 - 1 - -2). Suppose 0*r - x = -5*r. Is r a composite number? False Let x(u) = -5*u**3 - 10*u**2 - 12*u - 18. Is x(-7) composite? False Let c be (1 - -88)*(-1)/(-1). Let s = -10 + c. Is s composite? False Let u(n) = -n**2 + 2*n - 3. Let a be u(3). Let c(w) = w**3 + 5*w**2 - 5*w + 6. Let z be c(a). Suppose 2*i = -z*i + 78. Is i a prime number? False Let f(o) = -o**2 + 20*o + 42. Is f(16) a composite number? True Let b be 1/((-2)/(-14)*1). Let n(f) = 22*f - 9. Is n(b) prime? False Let v(i) = -i**2 - 5*i + 1. Let p(j) = -5*j**3 + 1. Let s be p(1). Let h be v(s). Let c(r) = r**2 + 5*r + 3. Is c(h) a prime number? True Suppose h - 4*q - 282 = 0, -4*h + 693 + 335 = 4*q. Let l = h + -93. Is l composite? True Let m(i) = i**3 + 7*i**2 + 2*i - 8. Let f be m(-6). Let l = f - 10. Suppose l*k = k + 415. Is k a prime number? True Let k(d) = -85*d**3 - d - 1. Suppose 8 = i + 3*l, 0 = -3*i + 2*i - 4*l + 11. Is k(i) a composite number? True Let g = -5 - -10. Let l(h) = 16*h - 6. Is l(g) a prime number? False Suppose -2*d = -d - 145. Is d a composite number? True Suppose 5*g = -2*f + 3*g + 20, -15 = -5*g. Let a = 70 + f. Is a a composite number? True Suppose -12763 = -3*i - 2392. Is i a composite number? False Let v = -3 + 16. Suppose 0 = -5*a + u - 0*u + v, 4*u + 2 = -5*a. Suppose 0*w + 51 = a*n + 5*w, 0 = 2*w - 10. Is n a composite number? False Let i(d) be the third derivative of d**4/24 - 2*d**3/3 - 2*d**2. Let x be i(6). Suppose -t - x*t + 471 = 0. Is t a composite number? False Suppose -l = -4*l + 2463. Is l a composite number? False Suppose 0 = 6*g - 2*g - 1588. Is g composite? False Suppose 2*i - 88 = 50. Is i a prime number? False Suppose 0 = u + 5*r + 20, -2*u + 2*r + 12 = 4. Suppose -6*b - 213 + 4287 = u. Is b a prime number? False Suppose 0*u = -2*u + 1262. Is u a composite number? False Suppose 2*o + o - 37 = 4*u, 3*o + 2*u = 13. Suppose 5*i = c - 68, 4*i + o = -5. Is c prime? True Suppose 3*t - 20 = 37. Let l be (-2)/(-8) + t/4. Suppose -2*q = -l*a + a + 60, -q = 5*a - 75. Is a a prime number? False Let u(x) be the first derivative of x**3 - 2*x**2 + 3*x + 1. Let f(c) = 4*c**2 - 3*c + 3. Let g(w) = 6*f(w) - 5*u(w). Is g(-2) composite? True Suppose 0 = 3*g + 5*w - w - 95, 4*g + 4*w = 132. Is g composite? False Suppose 2*j + 2 = 2*k, k + 2*j - 7*j = -3. Suppose 0 = k*v - 21 + 3. Suppose -v - 13 = -u. Is u prime? False Is ((2 - 4) + -60)*2/(-4) a composite number? False Suppose 0 = 3*u - j - 0*j - 4397, -u + 1475 = -5*j. Is u composite? True Let q(w) = -13*w**2 + 2*w + 6. Let a be q(-6). Is a/(-8) + (-8)/32 a prime number? True Let m(q) = 2*q - 11. Let c be m(8). Let u(i) = 70*i - 13. Is u(c) a composite number? False Let f(k) be the first derivative of k**3/3 + k**2 + 7*k + 2. Let n be f(-7). Suppose -5*y = x + 14 - n, 35 = 2*x + 3*y. Is x a composite number? False Suppose -w = -3, 0 = -m - 5*w + 242 + 219. Is m a composite number? True Let r(p) = -9*p**3 + 2*p**2 + 9*p + 21. Is r(-5) prime? True Let f = 7 + -3. Suppose f*s - 79 = 3*s. Is s prime? True Let p(c) = -45*c - 13. Is p(-8) composite? False Let l be 19*(1 - (3 + -3)). Let p = l + -12. Is p a prime number? True Suppose 3*g = 2*g. Suppose -a - 2*h + 195 = g, 2*h - 1 - 3 = 0. Is a a composite number? False Suppose -4*l = -5*l + 787. Is l prime? True Suppose -2*u - 3 - 7 = 0. Let q(f) = 2*f**2 + 5*f - 4. Is q(u) a prime number? False Suppose -5*d + 127 = -843. Is d composite? True Let h(s) = -s**3 + 11*s**2 + 13*s - 8. Let f
{ "pile_set_name": "DM Mathematics" }
ominator of -125/1034334 and 7/36. 2068668 Calculate the common denominator of -37/55560 and -157/125010. 500040 What is the smallest common multiple of 4 and 105310? 210620 Calculate the smallest common multiple of 5860 and 38676. 193380 What is the common denominator of 20/1809 and -77/8040? 72360 What is the lowest common multiple of 70068 and 11678? 70068 Calculate the common denominator of 79/5136 and 103/268. 344112 Calculate the least common multiple of 53721 and 15. 268605 Calculate the least common multiple of 156585 and 24. 1252680 Calculate the smallest common multiple of 423 and 74. 31302 Calculate the least common multiple of 110750 and 51. 5648250 What is the common denominator of 13/1242 and 83/126? 8694 What is the least common multiple of 134 and 2900? 194300 What is the least common multiple of 11 and 53807? 591877 What is the smallest common multiple of 242 and 22396? 246356 Calculate the common denominator of 163/16350 and 121/21800. 65400 What is the lowest common multiple of 15552 and 16? 15552 Calculate the common denominator of -137/1022112 and -37/84. 1022112 Find the common denominator of 37/792 and -17/1104. 36432 Calculate the smallest common multiple of 650 and 25700. 334100 What is the smallest common multiple of 9 and 4488? 13464 Calculate the lowest common multiple of 27495 and 141. 27495 What is the smallest common multiple of 23700 and 2528? 189600 Calculate the smallest common multiple of 14626 and 412. 29252 What is the common denominator of 101/1014 and -19/18990? 3209310 What is the common denominator of -101/191358 and 139/144? 1530864 What is the common denominator of -105/22 and 103/1359296? 14952256 What is the lowest common multiple of 338250 and 1750? 2367750 Calculate the lowest common multiple of 393 and 6943. 20829 What is the least common multiple of 139406 and 14? 975842 What is the common denominator of -55/1557 and 66/299117? 2692053 Calculate the least common multiple of 31755 and 4380. 127020 Calculate the lowest common multiple of 16 and 121728. 121728 What is the least common multiple of 5104 and 32? 10208 What is the least common multiple of 1536 and 12? 1536 What is the smallest common multiple of 218770 and 2672? 1750160 Calculate the smallest common multiple of 174864 and 109290. 874320 Find the common denominator of 179/16620 and -1/36. 49860 Calculate the common denominator of -53/532 and 161/936. 124488 Find the common denominator of 141/70 and 109/26292. 131460 Calculate the lowest common multiple of 339 and 324. 36612 What is the smallest common multiple of 818 and 53579? 107158 Calculate the common denominator of -31/8 and 29/2718538. 10874152 What is the lowest common multiple of 584495 and 1015? 4091465 What is the smallest common multiple of 4375 and 20? 17500 Calculate the least common multiple of 2430 and 328860. 986580 Calculate the common denominator of -133/36 and 73/76200. 228600 What is the least common multiple of 24961 and 2519? 274571 Calculate the smallest common multiple of 2942 and 1312. 1929952 What is the common denominator of 67/279 and -161/28044? 869364 Calculate the common denominator of -23/6 and -67/367248. 367248 What is the least common multiple of 468 and 83928? 251784 Calculate the common denominator of 89/1300 and 39/115. 29900 What is the common denominator of 73/120768 and 53/22? 1328448 What is the common denominator of 95/1166316 and 10/10539? 3498948 Calculate the least common multiple of 1477 and 2947. 621817 Find the common denominator of 173/211290 and -11/1197310. 3591930 Calculate the common denominator of -13/92496 and 71/4100. 2312400 Calculate the smallest common multiple of 19034 and 8596. 266476 What is the common denominator of 51/88714 and -67/6? 266142 Calculate the least common multiple of 32 and 843090. 13489440 What is the common denominator of -49/1118 and -93/118508? 118508 Calculate the common denominator of -111/450260 and -163/180. 4052340 What is the common denominator of -40/19 and -5/7084? 134596 Find the common denominator of 40/67467 and 61/15. 337335 What is the common denominator of -115/36 and 63/3160? 28440 What is the least common multiple of 348 and 56376? 56376 What is the least common multiple of 696 and 7184? 625008 Calculate the smallest common multiple of 21856 and 32. 21856 Find the common denominator of 93/24556 and 49/213988. 1497916 What is the least common multiple of 51304 and 20? 256520 Calculate the common denominator of 22/23465 and 5/114. 140790 Calculate the least common multiple of 529890 and 49872. 4239120 Find the common denominator of 31/47448 and -10/531. 2799432 Find the common denominator of 51/5 and 43/2489. 12445 Find the common denominator of -163/17976 and 31/24. 17976 Calculate the lowest common multiple of 18 and 45195. 271170 Calculate the least common multiple of 30940 and 20020. 340340 Calculate the common denominator of -61/5 and -73/40120. 40120 Calculate the common denominator of -13/48363 and -1/10857. 531993 Find the common denominator of 101/111228 and -61/18538. 111228 Calculate the common denominator of -65/5258 and 54/1903. 909634 Calculate the common denominator of -3/14 and 23/2952. 20664 What is the common denominator of -107/19820 and -1/1982? 19820 What is the smallest common multiple of 2482785 and 2915? 27310635 What is the common denominator of -37/233674 and -9/534112? 3738784 Find the common denominator of -69/56 and 43/93016. 93016 Find the common denominator of -3/86852 and 67/8. 173704 What is the least common multiple of 325264 and 116? 325264 What is the common denominator of -157/30 and 119/52806? 264030 What is the common denominator of 69/32 and -85/191868? 1534944 Find the common denominator of -55/20148 and -17/16. 80592 Calculate the common denominator of -145/1794 and 1/2601. 1555398 Find the common denominator of 53/3056 and 13. 3056 Find the common denominator of -37/1567573 and 32/5. 7837865 Calculate the least common multiple of 10 and 336046. 1680230 Calculate the common denominator of -89/47482 and -25/12. 284892 Find the common denominator of 9/800 and -43/243850. 3901600 Calculate the smallest common multiple of 4020 and 48240. 48240 Find the common denominator of -38/3 and 23/31851. 31851 What is the smallest common multiple of 869 and 30810? 338910 What is the lowest common multiple of 4 and 42772? 42772 What is the least common multiple of 4624 and 14450? 115600 What is the least common multiple of 8 and 657380? 1314760 Calculate the common denominator of 5/1177 and -10/341. 36487 Calculate the common denominator of -23/4242 and -137/537522. 3762654 Calculate the smallest common multiple of 2586006 and 608472. 10344024 Find the common denominator of 113/5620 and 77/80. 22480 Calculate the smallest common multiple of 5965 and 140. 167020 Calculate the lowest common multiple of 10 and 253938. 1269690 What is the smallest common multiple of 31428 and 62856? 62856 What is the common denominator of -71/11165 and -26/55? 11165 Calculate the common denominator of 125/171834 and -131/39654. 515502 Calculate the smallest common multiple of 140 and 16625. 66500 Calculate the common denominator of 41/33 and -43/2038224. 22420464 Calculate the lowest common multiple of 121088 and 56. 847616 What is the smallest common multiple of 4 and 608688? 608688 Calculate the common denominator of 103/10068 and 23/20136. 20136 Calculate the lowest common multiple of 258874 and 462. 776622 Calculate the common denominator of 101/16 and 47/4084. 16336 Find the common denominator of 13/4 and 33/18539. 74156 What is the common denominator of -137/18252 and -36/143? 200772 What is the lowest common multiple of 7072 and 1989? 63648 What is the least common multiple of 213 and 14385? 1021335 What is the common denominator of 161/1326 and 145/22134? 287742 Calculate the least common multiple of 23499 and 441. 164493 What is the common denominator of 79/106594 and 3/46? 2451662 What is the least common multiple of 470496 and 54288? 1411488 Calculate the lowest common multiple of 1646 and 26. 21398 Calculate the smallest common multiple of 177 and 156. 9204 Calculate the lowest common multiple of 8492 and 66. 25476 Calculate the lowest common multiple of 2956534 and 16.
{ "pile_set_name": "DM Mathematics" }
is the smallest value? (a) 2 (b) -78 (c) -5 (d) -27/4 (e) 3/4 b Which is the fourth biggest value? (a) 3 (b) 1 (c) -6037 (d) -1/8 (e) 2/3 (f) -3 d What is the fourth biggest value in 0.04, 12, -499, 29? -499 Which is the fourth biggest value? (a) 0.4 (b) -2/23 (c) 2 (d) -4 (e) 7 (f) 1.14 a Which is the second biggest value? (a) 5 (b) -126 (c) -740 b What is the third biggest value in -2/95, 0.1, -0.13, -0.4? -0.13 What is the biggest value in 0.07, 203, -5, 4, 3? 203 Which is the second smallest value? (a) 4 (b) 0.3 (c) 707 a What is the third biggest value in 150, -0.3, 0.4, 5, -43? 0.4 What is the fifth smallest value in 7, 0.1, 40, 11, -5/4? 40 Which is the third smallest value? (a) -2/69 (b) -2/3 (c) -220/3 a What is the smallest value in 1, -0.4, -36837, 4? -36837 What is the third biggest value in 3, -5, 226, -11? -5 What is the smallest value in 4/45, 45, -0.4? -0.4 Which is the third biggest value? (a) -19/22 (b) 56/9 (c) -0.4 (d) 1 c What is the smallest value in 0.1, 13/1275, 1/3? 13/1275 Which is the third smallest value? (a) -5 (b) -0.066281 (c) -6 b Which is the fourth biggest value? (a) 0.1 (b) 3/2 (c) 1 (d) -2/601 d What is the third biggest value in 4/9, 2/3, 0.3, -1/6, 0.05, 12? 4/9 What is the sixth biggest value in -6/19, 1/8, 0, 2/7, 9, 3? -6/19 What is the third smallest value in -1/10, 49502, 2/21? 49502 What is the third smallest value in -2, 3/7, 8, 41? 8 What is the fifth smallest value in -112, 1/2, 5, 141, -0.4? 141 What is the fourth biggest value in 7, -546/17, 0, 0.1, -2/15? -2/15 What is the fifth smallest value in -0.42, 1/3, 27, 8, -0.3? 27 What is the smallest value in 5, -3/8, 2, 0, 400? -3/8 Which is the fourth biggest value? (a) 0.3 (b) -1 (c) -1/8 (d) -0.063 (e) -10/3 (f) 0.18 c What is the fourth biggest value in 5, -59, -1, -134? -134 Which is the biggest value? (a) 0.00171 (b) 6 (c) 1 (d) 0.1 b What is the second biggest value in 1/4, -4.87, -28? -4.87 What is the second smallest value in 3, 8, -2141? 3 What is the second biggest value in -129/62, 0.5, 1.2, -0.1? 0.5 Which is the second biggest value? (a) -1 (b) -0.5 (c) -1.2 (d) -0.02 (e) 50/57 (f) -1/7 d What is the fourth smallest value in -0.1, 23, -1, -0.3, -0.77, 3? -0.1 Which is the third smallest value? (a) -145.21 (b) 0.4 (c) 0.1 b What is the biggest value in -0.1, -8.1, -4, -50? -0.1 Which is the third biggest value? (a) -19.96 (b) 0.4 (c) 1 (d) 0.2 (e) -2/11 d Which is the sixth smallest value? (a) 1/2 (b) -4 (c) -6/11 (d) 22 (e) -4/11 (f) 1/3 d What is the third biggest value in -3/2, -0.3, -3/7, -18, 0, -1/4? -0.3 Which is the second smallest value? (a) 3 (b) 5 (c) 0.2 (d) 7/3 (e) -134 (f) -3 f What is the second smallest value in -1, 15, -2/5, 0.614, -5? -1 Which is the second biggest value? (a) -0.69694 (b) -4 (c) -1/3 a Which is the fifth biggest value? (a) -1/2 (b) -0.72 (c) 2/17 (d) -2 (e) 5 (f) 0.27 b Which is the fifth smallest value? (a) -6756 (b) -2/17 (c) -1 (d) -0.4 (e) 0 e Which is the biggest value? (a) 1 (b) 2/11 (c) -9 (d) 3 (e) 0.0173 d Which is the second biggest value? (a) -12 (b) 1/6 (c) -37.69 a What is the smallest value in -0.4, -0.1, 1, 0.2, 2/2261? -0.4 Which is the smallest value? (a) -1.65 (b) -60 (c) -2/9 b Which is the third biggest value? (a) -0.4 (b) -1/46 (c) -14 c What is the second biggest value in -13, -9, 23/5? -9 Which is the third biggest value? (a) -688 (b) 18/11 (c) 0.1 a What is the third biggest value in 0.1, -18018, -1.9? -18018 Which is the third smallest value? (a) 5636 (b) -0.4 (c) -5 a Which is the third smallest value? (a) 1 (b) -2/7 (c) 2/11 (d) 271 (e) 0.4 e Which is the smallest value? (a) -3 (b) -3/5 (c) 11 (d) 0.1 (e) 1/713 a Which is the second biggest value? (a) 5/2 (b) 12 (c) 2421 b What is the fourth smallest value in 3/65, -66, 3, -6, -0.6, 2? 3/65 Which is the fifth biggest value? (a) -0.01 (b) -5/4 (c) -14 (d) -30 (e) 1 (f) 5 c Which is the third biggest value? (a) 2 (b) 2/11 (c) -844 c What is the sixth smallest value in -2/3, -1/4, -1/10, 1, -0.44, -9? 1 Which is the fifth smallest value? (a) -2 (b) -1 (c) -12 (d) 214/7 (e) 0.1 (f) -1/3 e Which is the third smallest value? (a) -0.4 (b) 0 (c) -1/5 (d) -5 (e) 0.4 (f) -397 a What is the fourth smallest value in -5/6, 0.24, 0.27, 12, 1/3? 1/3 Which is the second biggest value? (a) 14252 (b) 1 (c) -0.2 b What is the third smallest value in -4/5, 48, -0.25, 2/17? 2/17 Which is the biggest value? (a) -63 (b) 1.6 (c) 3.5 c What is the biggest value in 3, -57.8, 0.47? 3 What is the third biggest value in -4, 85997, -7/2? -4 What is the second biggest value in -3/964, 0.5, -4.8? -3/964 Which is the fifth biggest value? (a) 1/16 (b) -3/2 (c) 2/5 (d) 2/3 (e) 4/3 (f) -23/8 b Which is the biggest value? (a) 0.03 (b) -3 (c) 2 (d) -4 (e) -9 c Which is the fourth smallest value? (a) -1/4 (b) -53 (c) -2/171 (d) 1/2 d Which is the third smallest value? (a) -1 (b) 0 (c) -21/2 (d) 1 b What is the third biggest value in -0.2, 3498, 0.2? -0.2 Which is the second smallest value? (a) 89/17 (b) -4 (c) -0.1 (d) 5 c Which is the third biggest value? (a) -11 (b) -68 (c) -6 b Which is the third smallest value? (a) 71 (b) -14 (c) 5 (d) -0.2 c What is the third smallest value in 2/87, 1528, 3/4? 1528 What is the third smallest value in 2/7, -5, -3, 2584, 11? 2/7 What is the biggest value in 1/6, 115481, 0.1? 115481 What is the smallest value in 1/2, -1, 4, 0.2, -2.3, 2/7? -2.3 What is the second biggest value in 4/11, 81, 1/4, -1, 1/3? 4/11 What is the second smallest value in -1/2, 0.5, -1.4954, 0, 5? -1/2 Which is the fourth smallest value? (a) -3/7 (b) 19111 (c) 3/5 (d) 5 (e) 0 (f) 3 f Which is the third smallest value? (a) 41 (b) 2/9 (c) -6 (d) -3 (e) -5 d What is the smallest value in -2, -2.5, 4, -0.7, -5? -5 What is the second smallest value in 0, -8009, -0.5, 4/3? -0.5 Which is the fourth smallest value? (a) 0.2 (b) -39 (c) 16 (d) -4/3 c Which is the second biggest value? (a) 12 (b) 5 (c) -3/2 (d) -2/17 (e) -27/8 b What is the fifth biggest value in -4/5, 1037, -0.03, -1, 2, 1? -4/5 Which is the second biggest value? (a) -6/11 (b) 4 (c) 191 (d) 25 (e) -0.5 d What is the third biggest value in 8.5, -3, -1/291? -3 What is the fourth biggest value in -1/5, 0.173, -4/7, 1/3? -4/7 Which is the third biggest value? (a) 5 (b) -5 (c) -3763 (d) -0.3 b What is the smallest value in -798, -1, -3, 0.2? -798 Which is the fourth biggest value? (a) -524 (b) -4 (c) 0.4 (d) 3 (e) 2/7 (f) -0.9 f What is the fourth smallest value in 227.5, -2, 0.4, -2/3? 227.5 Which is the second biggest value? (a) -1 (b) -44936 (c) -2/17 a What is the fourth smallest value in 0.3, 0.4, -46, 366? 366 Which is the second smallest value? (a) -13.88 (b) 4 (c) 0.01 (d) -1/5 d What is the smallest value in 2, -2/11, 1853, 0? -2/11 Which is the sixth biggest value? (a) 3.1 (b) -1.1 (c) -0.4 (d) 1/3 (e) 5 (f) -2 f What is the sixth biggest value in 4, -0.6, 1/7, -2/39, -2, -14? -14 What is the second smallest value in -37, 0.2, -1, 2072? -1 What is the fifth smallest value in 0.1, 0.3, 0.06, -1.31, 1/6? 0.3 What is the fifth biggest value in -1/5, -2, 0.07, -0.01, -0.3, 197? -0.3 Which is the sixth smallest value? (a) 1513 (b) 1/4 (c) 2/7 (d) 5 (e) -5 (f) 0 a What is the fourth biggest value in 5, 1/4, -1613.3, -2/5? -1613.3 What is the second biggest value in 58, -4/3, -13, -1/68? -1/68 What is the third biggest value in 4, 3, 3/5, 0.1, -16, 2/13? 3/5 What is the biggest value in -2/483, -3, -1/9, -0.3? -2/483 Which is the fifth smallest value? (a) -0.4 (b) -2/17 (c) 0.4 (d) 0.2 (e) 1609 e Which is the fourth smallest value? (a) 0.07 (b) 6/7 (c) -74 (d) -1 b What is the third smallest value in -5, 1/3, 1483? 1483 Which is the smallest value? (a) 5 (b) 4 (c) -1 (d) 0.1 (e) 0.3 (f) 140 c What is the second smallest value in -18/5, 0.1563, 2, -3? -3 What is the third smallest value in 4065, -0.1, 0.4, -5? 0.4 What is the fifth biggest value in -13, 0.5, -0.01, -4, -1/9? -13 Which is the fifth biggest value? (a) 0.5 (b) -12 (c) 0.1 (d) 0 (e) 125
{ "pile_set_name": "DM Mathematics" }
3*c**3 + 3*c**2 + 8*c. Suppose 404 = -68*a - 1228. Give a*v(w) + 5*l(w). 3*w**3 + 3*w**2 + 3*w Let w(h) = h**3 + 9*h**2 - 11*h - 8. Let a be w(-10). Let j(v) = -2*v + 2. Let s(q) = 453 - 882 + 428 + q. What is a*s(c) + 2*j(c)? -2*c + 2 Let r(z) = 4*z**2 - 5*z + 2. Suppose -61*p + 60*p = -3. Suppose 23 - p = 5*v. Let i(c) = -3*c**2 + 4*c - 2. Determine v*r(m) + 5*i(m). m**2 - 2 Let m(o) = 2*o + 10. Let b(d) = -5*d - 29. Suppose 39 = -227*l + 240*l. What is l*b(g) + 8*m(g)? g - 7 Let n = 27 - 18. Let m(x) be the first derivative of 4*x - 5/2*x**2 - 21 + 2/3*x**3. Let l(u) = -5*u**2 + 11*u - 9. What is n*m(t) + 4*l(t)? -2*t**2 - t Let d = -48 + 90. Let i = -39 + d. Suppose -i*z - 2 = -5*z. Let a(x) = -4*x**2 - 4*x + 3. Let q(l) = l**2 + l. Determine z*a(w) + 6*q(w). 2*w**2 + 2*w + 3 Suppose -5*y = -0*y + 30. Let j = -3 - -4. Let a(l) be the third derivative of -l**4/24 - l**3/6 - 18663*l**2. Let v(q) = -4*q - 7. Give j*v(w) + y*a(w). 2*w - 1 Let u(y) = 152*y**2 - 13*y - 41 + 69*y - 15. Let t be ((-112)/6)/((-200)/(-30) + -7). Let w(j) = -8*j**2 - 3*j + 3. Give t*w(c) + 3*u(c). 8*c**2 Let k(p) be the third derivative of -1/30*p**5 - 5/24*p**4 + 0*p - 107*p**2 + 1/2*p**3 - 1. Let z(c) = 4*c**2 + 11*c - 7. Determine 7*k(x) + 3*z(x). -2*x**2 - 2*x Let d(l) = 19*l**2 - 28*l - 5. Let t(j) = -37*j**2 + 59*j + 8. Give 5*d(z) + 3*t(z). -16*z**2 + 37*z - 1 Let k(c) = 6*c - 3. Let a(d) = 962*d - 26. Determine -a(z) + 8*k(z). -914*z + 2 Let m(h) = -22551*h + 7. Let o(n) = 54127*n - 17. Calculate 29*m(f) + 12*o(f). -4455*f - 1 Let p(k) = -10*k**3 - 2*k**2 - 10*k. Let n(r) be the second derivative of -1/6*r**3 + 0*r**4 + 0 + 93*r + 0*r**2 - 1/20*r**5. Determine -8*n(y) + p(y). -2*y**3 - 2*y**2 - 2*y Let a(w) = 9*w - 207. Let d(j) = 2*j - 2. Calculate -2*a(i) + 4*d(i). -10*i + 406 Let w(b) = -88*b**3 + b**2 + 72*b - 9. Let c(d) = 176*d**3 - 3*d**2 - 180*d + 18. What is 4*c(h) + 10*w(h)? -176*h**3 - 2*h**2 - 18 Let n(i) = -i + 145. Let f be n(10). Suppose -6*p - f + 69 = 0. Let r(q) = -9*q - 16. Let y(a) = 2*a + 3. What is p*y(t) - 2*r(t)? -4*t - 1 Let k(h) = 8*h**2 + 2*h + 65. Let t(w) = 17*w**2 + 4*w + 132. Give -9*k(u) + 4*t(u). -4*u**2 - 2*u - 57 Let a(o) = 13*o - 1. Let n(w) = 6*w. Calculate 5*a(q) - 15*n(q). -25*q - 5 Let q = 4232 + -4225. Let p(y) = 8*y**3 - 7*y**2 - 4*y. Let j(a) = -7*a**3 + 6*a**2 + 4*a. Calculate q*j(o) + 6*p(o). -o**3 + 4*o Let c(o) = 633*o - 4566. Let y(d) = -271*d + 2283. Calculate -3*c(j) - 7*y(j). -2*j - 2283 Let z(j) = -905*j**3 - 11*j + 32. Let f(g) = 2*g**3 - g + 3. What is 10*f(s) - z(s)? 925*s**3 + s - 2 Let j(w) = -12*w**2 - 3247*w - 6. Let h(f) = -2*f**2 - 648*f - 1. What is -11*h(u) + 2*j(u)? -2*u**2 + 634*u - 1 Let f(s) = -4*s**2 + s - 534. Let c(y) = -5*y**2 + 2*y - 530. What is -2*c(h) + 3*f(h)? -2*h**2 - h - 542 Let x(n) = -38*n**2 + 27*n - 57. Let j(q) = 19*q**2 - 12*q + 28. Calculate 9*j(v) + 4*x(v). 19*v**2 + 24 Let g(k) = 5*k + 167. Let o be g(-34). Let p(j) = -5*j**2 + 2*j - 3. Let d(z) = -z**3 - 6*z**2 + 2*z - 4. Determine o*d(u) + 4*p(u). 3*u**3 - 2*u**2 + 2*u Suppose 2*k - 7*p = -2*p + 16, 5*p = k - 13. Suppose 9*i + 6 = k*i. Let m(l) = -l**3 + 1. Let r(o) = -4*o**3 + 9. Determine i*r(t) + 6*m(t). -2*t**3 - 3 Let o(l) = l**3 + l**2. Let y(g) = -3*g**3 - 4*g**2 + 3*g. Suppose 3*r = 5*u + 813, 1377 = r + 4*r - u. Suppose -6*i + r = 282. What is i*o(v) - y(v)? 2*v**3 + 3*v**2 - 3*v Let b = 0 - 6. Let i(s) = -8 + 46*s - 47*s - 2*s**2 + 3*s**2. Let t(z) = z**2 - z - 9. Let g = 103 - 96. Calculate b*t(o) + g*i(o). o**2 - o - 2 Let i(c) = -85*c + 169. Let g(f) = 54*f - 106. Let s(b) = -8*g(b) - 5*i(b). Let t(u) = 7*u - 4. Determine 5*s(p) + 4*t(p). -7*p - 1 Let k(q) = -q - 16. Let t(s) = -4*s**2 + 91*s + 125. Let n be t(24). Let f(w) = -3*w - 32. Determine n*k(y) - 2*f(y). y - 16 Let j(r) = r + 5. Let u(x) = -49 + 15 + 35. Suppose 6*i + 0*i - 510 = 0. Suppose -5*f + 2*g = -i, -2 = g + 3. Give f*u(t) - 3*j(t). -3*t Let o(m) = 35*m**3 - 7. Let z(x) = x**3 - 2*x - 19. Let n(i) = 22*i**3 - 10*i - 98. Let w(j) = n(j) - 5*z(j). What is -4*o(f) + 9*w(f)? 13*f**3 + 1 Let w(o) = 31*o**3 + 4*o**2 - 4*o. Let q(s) = 31*s**3 + 5*s**2 - 5*s. Let c = 790 - 795. What is c*w(f) + 4*q(f)? -31*f**3 Let y(v) = v**3 - 14*v**2 + 144*v - 43. Let c(o) = -4*o**2 + 48*o - 13. Determine 7*c(r) - 2*y(r). -2*r**3 + 48*r - 5 Let j(m) = -85*m + 9. Let k(d) = -6*d + 2. Give j(p) - 4*k(p). -61*p + 1 Let h be ((-90)/(-24))/((-1)/4). Let j(y) = y + 1. Let s(x) = 10*x + 15. Suppose -10 = 4*n + 59*c - 57*c, 28 = -4*c. Determine h*j(k) + n*s(k). -5*k Let q = -268 - -270. Let o(s) = 7*s**2 - 9*s**q - 6*s + s**2. Let n(k) = 5*k**2 + 25*k. Calculate -2*n(a) - 9*o(a). -a**2 + 4*a Let c(t) = -16*t**3 + 15*t**2 + 24*t + 54. Let m(k) = 9*k**3 - 7*k**2 - 14*k - 27. Determine -4*c(y) - 7*m(y). y**3 - 11*y**2 + 2*y - 27 Suppose n = 6*n - 100. Let i(p) = n*p**3 + 25*p**3 + 30*p**3 - 2*p - 76*p**3. Let o(u) = -u**3 - u. Give -5*i(a) + 7*o(a). -2*a**3 + 3*a Let z(h) = h**2 - 1. Let f(j) be the third derivative of -j**6/120 + j**5/60 - j**3/6 - 1711*j**2. Calculate -3*f(a) + 3*z(a). 3*a**3 Let v(y) = -2*y**3 + 2*y**2 + 3*y - 2. Suppose 0 = 265*j + 392 + 403. Let z(s) = -s**3 + s**2 + 2*s - 3. Calculate j*z(d) + 2*v(d). -d**3 + d**2 + 5 Let b(k) = 26*k + 3. Let d(f) = -20*f - 2. Let r(a) = 7*b(a) + 9*d(a). Let h(z) = -8*z - 13. Give 2*h(n) + 9*r(n). 2*n + 1 Let o(i) = -18*i**2 - 72*i + 72. Let g(d) = -21*d + 13. Let s(z) = 13*z - 8. Let y(b) = -5*g(b) - 8*s(b). Determine -o(q) - 72*y(q). 18*q**2 Let l be 136/((-4)/2)*1. Let d = -440 + 371. Let h = l - d. Let x(k) = 8*k**3 - 4*k. Let f(y) = -y**3 + y. Determine h*x(z) + 4*f(z). 4*z**3 Let s(m) = -21*m**2 - 2*m. Let r(q) = 32*q**2 + 6*q + 17. Let a(z) = -10*z**2 - 2*z - 6. Let x(k) = 17*a(k) + 6*r(k). Calculate -6*s(n) - 5*x(n). 16*n**2 + 2*n Let n = 6821 + -6832. Let i(s) = -5*s**2 + 11*s + 40. Suppose 2*y + 5*t - 1 = -0, 0 = 3*t - 3. Let p(k) = k**2 - 2*k - 8. Calculate n*p(l) + y*i(l). -l**2 + 8 Let f be (1*2/6)/(26 + 2772/(-108)). Let i(x) = -x - 1. Let v(k) = -11*k - 1. Determine f*v(u) + 3*i(u). -14*u - 4 Let u(i) = -2*i. Let l(x) = -238*x + 1. Calculate 2*l(p) + 4*u(p). -484*p + 2 Let j(o) = -4*o - 10. Let z(l) = -5*l - 11. Let i = 21601 + -21607. Give i*j(x) + 5*z(x). -x + 5 Suppose -3*c = -1 + 22. Suppose -4*b - 23 = -n, -n - 31 = -4*b + 9*b. Let k(l) = 12*l - 5. Let p(o) = -13*o + 6. Calculate b*p(q) + c*k(q). -6*q - 1 Suppose -6*t - 11*t - 118751 = -118564. Let i(v) = -5*v**2 - v + 2. Let r(f) = -6 + 6 - 3*f - 15*f**2 + 5. Calculate t*i(g) + 4*r(g). -5*g**2 - g - 2 Let w(c) = -57*c**3 - 23*c**2 + 5*c + 10. Let y(n) = 85*n**3 + 35*n**2 - 8*n - 16. What is -8*w(k) - 5*y(k)? 31*k**3 + 9*k**2 Suppose 43*c - 47*c + 5*d + 12 = 0, -5*c - 4*d = 26. Let y(l) = -l**3 + l**2 - 1. Suppose -4*h = -h + 6. Let q(s) = -s**3 - s**2 + 1. Give c*q(j) + h*y(j). 4*j**3 Suppose 4*l = -w - 3*w, 5*w = 5*l - 30. Let k(i) = -5*i + 4. Let q(h) = -2*h + 1. Suppose 0 = z + 3*j + 7, -5*j + 4*j - 5 = 0. Determine w*k(p) + z*q(p). -p - 4 Let l(a) = a**3 - 3*a - 3. Let d be l(-2). Let s(m) = -m. Let j(z) = 29*z + 1. Let q(n) = n**2 + 138*n + 3. Let t(g) = -5*j(g) + q(g). Give d*s(o) + t(o). o**2 - 2*o - 2 Let c(h) = -5*h**2 + 25*h. Let p(t) = -t**3 + 22*t - 10. Suppose 29*l + 205 = 70*l. Let g be p(l). Let o(a) = -2*a**2 - 3*a - a + 3*a**2. Give g*o(v) - 4*c(v). -5*v**2 Let i(w) = 15*w + 982. Let r(k) = 5*k + 334. Give -3*i(s) + 10*r(s). 5*s + 394 Let h(i) = 3*i**2 - 3*i + 1. Let z be (((-240)/84 - 3/21) + 1)/2. Let c(x) = x**2 - x. Calculate z*h(p) + 2*c(p). -p**2 + p - 1 Let b(g) = 13*g**2 - 7*g + 63. Let i(o) = -1163*o + 7. Let f be i(0). Let j(t) = -9*t**2 + 5*t - 42. What is f*j(z) + 5*b(z)? 2*z**2 + 21 Let w(o) = 11*o**3 - 3*o**2 - 3*o - 3. Suppose 0 = 30*h - 373 - 587. Let j(v) = 120*v**3 - 32*v**2 - 32*v - 32. Give h*w(d) - 3*j(d). -8*d**3 Let l(m) = -4657*m**3 + 20*m**2. Let u(j) = -4333338*j**3 + 18608*j**2. Calculate -4652*l(k) + 5*u(k). -2326*k**3 Let n(t) = t**2 - 2*t - 9. Let l(s) = 3*s**3 + 6*s**2 - 14*s - 362. Determine l(w) - 6*n(w). 3*w**3 - 2*w - 308 Let o(p) = -2*p**2 - 5462*p - 16. Let j(z) = 6*z - 2. Calculate -8*j(s) + o(s). -2*s**2 - 5510*s Let d(s) = 37*s**3 - 2*s**2 + 2. Let l(u) be the second derivative of -37*u
{ "pile_set_name": "DM Mathematics" }
718 Put 31, 2/7, -3, 12, 1 in decreasing order. 31, 12, 1, 2/7, -3 Sort 0.5, -5, 1, -1/3, 61/3, -1/2 in decreasing order. 61/3, 1, 0.5, -1/3, -1/2, -5 Sort 36, -4, 6, 4, 2. -4, 2, 4, 6, 36 Sort -28, -3, 1, 7, 3 in increasing order. -28, -3, 1, 3, 7 Sort -36, -32, -3, 0, -1 in descending order. 0, -1, -3, -32, -36 Put -5, 2.4, -3/14, 1, 8 in increasing order. -5, -3/14, 1, 2.4, 8 Sort 0, 38258, 0.5 in increasing order. 0, 0.5, 38258 Sort -5, -4, -34320 in increasing order. -34320, -5, -4 Put 3, 1.12, -3/4, 2, -10 in decreasing order. 3, 2, 1.12, -3/4, -10 Put 2, -114, -126 in ascending order. -126, -114, 2 Sort 33, 0, 5, -2, -20, -3 in increasing order. -20, -3, -2, 0, 5, 33 Sort 4, -60, -4, -242, 3. -242, -60, -4, 3, 4 Put 2, 8, 3075 in ascending order. 2, 8, 3075 Sort 3, -21, 2, -6. -21, -6, 2, 3 Sort 1/5, -931, 19 in descending order. 19, 1/5, -931 Sort 2, -34/31, 1/2, -54 in ascending order. -54, -34/31, 1/2, 2 Put -6/65, 52, -0.3, -3/4, -4 in decreasing order. 52, -6/65, -0.3, -3/4, -4 Put 0.1, -0.9, 4, 675 in decreasing order. 675, 4, 0.1, -0.9 Put -262413, 4, 1 in increasing order. -262413, 1, 4 Sort 7, -615, 1, -1 in decreasing order. 7, 1, -1, -615 Put -2/9, -11698, -0.1 in decreasing order. -0.1, -2/9, -11698 Sort -1.6, 0.99, 210, 1 in decreasing order. 210, 1, 0.99, -1.6 Sort -11, 7, 2, -3, -2 in increasing order. -11, -3, -2, 2, 7 Sort 0.07, -1/9, 2, 0.5, -19, -5. -19, -5, -1/9, 0.07, 0.5, 2 Sort 1, -1030, 0, -2 in descending order. 1, 0, -2, -1030 Put 2, 0, 11, -26, 39 in ascending order. -26, 0, 2, 11, 39 Sort -50, 270/17, 0.4. -50, 0.4, 270/17 Put -2/7, -305, 0.5, -372 in descending order. 0.5, -2/7, -305, -372 Sort 9/5, -4, -3, -2, -8 in descending order. 9/5, -2, -3, -4, -8 Sort 0, -4, -1, 69, -5, -2 in decreasing order. 69, 0, -1, -2, -4, -5 Sort 8, -1, 15, 50, -5 in descending order. 50, 15, 8, -1, -5 Sort -1, -5, 560, -2, 1 in decreasing order. 560, 1, -1, -2, -5 Put -130, -123, 4 in descending order. 4, -123, -130 Sort 1/5, 55/32, 1.1, -2/17 in decreasing order. 55/32, 1.1, 1/5, -2/17 Sort -0.12, 0.5, -3, 1, -2/5, 0. -3, -2/5, -0.12, 0, 0.5, 1 Sort 2700/19, -4, 2/5, -5, 1/6 in increasing order. -5, -4, 1/6, 2/5, 2700/19 Sort -0.02578, 8, 2, -0.5, 1, -1 in decreasing order. 8, 2, 1, -0.02578, -0.5, -1 Put -0.5, 7, -0.246, -1 in descending order. 7, -0.246, -0.5, -1 Put -1, -331, -494 in descending order. -1, -331, -494 Sort -197, -910, -3 in ascending order. -910, -197, -3 Sort 1701, 1, -1/4, 3 in descending order. 1701, 3, 1, -1/4 Put 0, 57, 24, 5 in increasing order. 0, 5, 24, 57 Sort 90, -3, -0.204 in decreasing order. 90, -0.204, -3 Put -1, 0, 1, -4, 30 in descending order. 30, 1, 0, -1, -4 Sort -9, -271, 59 in descending order. 59, -9, -271 Sort 16, -1, -2, -16190 in descending order. 16, -1, -2, -16190 Sort -6, -8, 1, 4, -1 in decreasing order. 4, 1, -1, -6, -8 Sort 10, -0.1, -2, -100/71, 0.5 in increasing order. -2, -100/71, -0.1, 0.5, 10 Sort 2, 32, -3, 5. -3, 2, 5, 32 Sort 8, -0.0489, -2/7, 0.5 in increasing order. -2/7, -0.0489, 0.5, 8 Sort 0, 4, 2, -1694. -1694, 0, 2, 4 Sort 38, 32, -39 in increasing order. -39, 32, 38 Sort 24, -3, 19.7, 2/5 in ascending order. -3, 2/5, 19.7, 24 Put -7, 0.1, 2/111, -0.5, -3/7 in descending order. 0.1, 2/111, -3/7, -0.5, -7 Put 0.7, -1170, -24 in decreasing order. 0.7, -24, -1170 Sort 20, 0, 2, 1, -96 in increasing order. -96, 0, 1, 2, 20 Sort 8, -217, 5 in descending order. 8, 5, -217 Sort -4, 1, 12759 in ascending order. -4, 1, 12759 Sort 0, -4, -2496, -2, 11. -2496, -4, -2, 0, 11 Sort -3, -5180, -4, 7, 3 in descending order. 7, 3, -3, -4, -5180 Sort 1, -3, -4, -2693 in descending order. 1, -3, -4, -2693 Put -4, -2, -16, 3, -5, 252 in decreasing order. 252, 3, -2, -4, -5, -16 Sort 116, -348.2, 4, -2/21, -0.5 in descending order. 116, 4, -2/21, -0.5, -348.2 Put -3, 6, -6, -18, 3, 2 in decreasing order. 6, 3, 2, -3, -6, -18 Sort 5, -2, 154, 112. -2, 5, 112, 154 Sort 5, 77, -1, -4. -4, -1, 5, 77 Sort 0.05, 13, -1/4, -25/6, -0.2 in descending order. 13, 0.05, -0.2, -1/4, -25/6 Put 134, 0, -290, 4 in descending order. 134, 4, 0, -290 Sort 5, 24, 2, 7 in descending order. 24, 7, 5, 2 Put -1/44, -10, 4/9, 1 in descending order. 1, 4/9, -1/44, -10 Sort -33/34, 3.1, -19 in ascending order. -19, -33/34, 3.1 Put 14, 5, -59006/3 in ascending order. -59006/3, 5, 14 Put 407, -2/3, -1, 2/3 in increasing order. -1, -2/3, 2/3, 407 Put 4, -155, -3, 2 in decreasing order. 4, 2, -3, -155 Sort 4, -1/5, -0.12273, -0.3. -0.3, -1/5, -0.12273, 4 Sort 2/11, 24, -1/5, -2109, 3 in ascending order. -2109, -1/5, 2/11, 3, 24 Sort 0, -2, -6, -2/3, 347 in ascending order. -6, -2, -2/3, 0, 347 Put 15, 2, 137, 3, -3 in increasing order. -3, 2, 3, 15, 137 Sort 66, -559, 4 in descending order. 66, 4, -559 Sort 1, 106, -26, -2. -26, -2, 1, 106 Sort -415, -19, 36 in descending order. 36, -19, -415 Put -100493, 3, -1 in decreasing order. 3, -1, -100493 Put 0, 2, -81753 in ascending order. -81753, 0, 2 Put 7, 359, 3 in descending order. 359, 7, 3 Sort 2/7, 1/5, -2/271, 1/4. -2/271, 1/5, 1/4, 2/7 Sort 0, -2/9, 235/3 in increasing order. -2/9, 0, 235/3 Put -3756/11, 4, -4 in decreasing order. 4, -4, -3756/11 Put -3, -9, 23, -0.02, 0.2 in decreasing order. 23, 0.2, -0.02, -3, -9 Put 1, 0.5, -2/5, 2.65, 9 in ascending order. -2/5, 0.5, 1, 2.65, 9 Put 0, 40, -5, -1, -95 in decreasing order. 40, 0, -1, -5, -95 Sort 0.09, -2/14447, -4 in ascending order. -4, -2/14447, 0.09 Put 1, 5, -2/9, -4.7, 4 in increasing order. -4.7, -2/9, 1, 4, 5 Sort 1, -4, -263, 7, -9 in decreasing order. 7, 1, -4, -9, -263 Sort -6, 2/41, -148 in descending order. 2/41, -6, -148 Sort -24, -11, 445. -24, -11, 445 Sort -2/5, 18421, 4, 8, 0 in increasing order. -2/5, 0, 4, 8, 18421 Put -2, -3, 66.56, -11 in ascending order. -11, -3, -2, 66.56 Put 4, -7/3, 5, -96/13 in increasing order. -96/13, -7/3, 4, 5 Sort -1/11, -0.1, -178 in ascending order. -178, -0.1, -1/11 Sort -3, 7, 4, 1, 21, 2 in decreasing order. 21, 7, 4, 2, 1, -3 Put 372/7, -5, 46 in ascending order. -5, 46, 372/7 Put -151, 0.81, 4 in descending order. 4, 0.81, -151 Sort 0, 105, 260 in increasing order. 0, 105, 260 Put -3, 5, -235, 36, 1 in decreasing order. 36, 5, 1, -3, -235 Sort -4, 6, 175, -1 in increasing order. -4, -1, 6, 175 Sort 57, -10, -2.3, -1/6, -2. -10, -2.3, -2, -1/6, 57 Sort -9, -1, 1, 5, -5, 1229 in ascending order. -9, -5, -1, 1, 5, 1229 Sort -1/10, 505, 4/3. -1/10, 4/3, 505 Sort 4, -757, -9, 3. -757, -9, 3, 4 Put 0, 8, 517, 3 in ascending order. 0, 3, 8, 517 Put -0.4, 2, 0.83, 0.17, 5, 12 in increasing order. -0.4, 0.17, 0.83, 2, 5, 12 Sort -85, 0, -1, 3, 1, -2 in descending order. 3, 1, 0, -1, -2, -85 Put -41.127, -0.2, 12 in ascending order. -41.127, -0.2, 12 Sort -5/6, 8, 2/93, -1, 36 in increasing order. -1, -5/6, 2/93, 8, 36 Sort 4/69, -5, 2, 0.4 in decreasing order. 2, 0.4, 4/69, -5 Put 16, 1239, 0, -5 in decreasing order. 1239, 16, 0, -5 Sort 5/23, 80, 5, -4, 2. -4, 5/23, 2, 5, 80 Sort 2, -4, 5, 1034, 0, -2 in ascending order. -4, -2, 0, 2, 5, 1034 Sort -79, -28, -3 in descending order. -3, -28, -79 Sort 1, -159, -0.3, 5, -14, -3. -159, -14, -3, -0.3, 1, 5 Sort -36, 5, -68, -5, -2 in descending order. 5, -2, -5, -36, -68 Sort -2/9, 2/93, 1209/19. -2/9, 2/93, 1209/19 Put -1, -11, -3, -761 in descending order. -1, -3, -11, -761 Sort 2, -169, -13, 9 in increasing order. -169, -13, 2, 9 Sort 245/2, -1/5, -1/2, 0.5 in descending order. 245/2, 0.5, -1/5, -1/2 Put -73, -1, 6, -9, 3, 0 in decreasing order. 6, 3, 0, -1, -9, -73 Put 3/5, -3, -563, -0.2, -0.3, -4 in increasing order. -563, -4, -3, -0.3, -0.2, 3/5 Put 2/11, -40, 0, -0.244 in decreasing order. 2/11, 0, -0.244, -40 Sort -447, -0.4, 0.7, -3/7, 2, -8. -447, -8, -3/7, -0.4, 0.7, 2 Sort -2, 5, 2, 3, -15, 197 in decreasing order. 197, 5, 3, 2, -2, -15 Put 515/3, 0.3, -60/7 in decreasing order. 515/3, 0.3, -60/7 Put 3, 534, 3/17 in ascending order. 3/17, 3, 534 Sort -4, 2, 187 in decreasing order. 187, 2, -4 Sort -4, -1, -6, -40 in increasing order. -40, -6, -4, -1 Sort 63/22, 0.2, -2196 in decreasing order. 63/22, 0.2, -2196 Sort -11425/3, 4, 1 in increasing order. -11425/3, 1, 4 Put -324826, -0.2, 0.2 in descending order. 0.2, -0.2, -324826 Sort 3/5, -3/25, -2, 2, 0.04127 in increasing order. -2, -3/25, 0.04127,
{ "pile_set_name": "DM Mathematics" }
ive z. -2 Rearrange (2*g - g + 2*g)*(1 - 2 + 2)*(-2 + 1 + 2) to the form f*g + a and give f. 3 Rearrange (-3*r**4 + r**4 + 0*r**4)*(58 - 23 + 41) to the form l*r**4 + x + d*r**3 + z*r**2 + w*r and give l. -152 Rearrange h - h - 17*h - h to the form w*h + y and give w. -18 Rearrange 3304 + 12*s**2 - 3304 to the form i + u*s**2 + d*s and give u. 12 Express -7*u**3 + 4018*u**2 - 2*u**3 - 4020*u**2 in the form l*u**2 + r*u**3 + c + i*u and give r. -9 Express (35*q**2 - 8*q**2 + 4*q**2)*(6*q - 3*q - 2*q)*(4*q - 4*q - 2*q) as u*q**2 + r*q + p*q**3 + i*q**4 + c and give i. -62 Rearrange -5*z + 12*z - 174 + 174 - 8*z**2 to the form r + l*z**2 + h*z and give h. 7 Rearrange -5 + 124*u**4 - 9*u + 3 - 126*u**4 + 3*u**3 - 2*u**3 + u**2 to f + s*u**3 + c*u**2 + m*u**4 + w*u and give s. 1 Express (a**2 - 1 + 1)*((-1 + 1 + 1)*(3*a - 2*a - 2*a) + 5*a + 6*a + 10*a) - a**3 - 8*a**2 + 8*a**2 as y*a + m*a**2 + q + g*a**3 and give g. 19 Express (4*y**3 + 0*y**3 - 5*y**3)*(3*y - 6*y - 2*y) - 2*y**4 - y**4 + 4*y**4 + y**3 - y**3 - 2*y**4 in the form x + z*y**3 + u*y**2 + a*y**4 + l*y and give a. 4 Rearrange 3*r**2 - r**2 + 57 - 11 - r**2 to the form g + n*r + a*r**2 and give a. 1 Rearrange 2*p - 2*p + 36*p to the form o + k*p and give o. 0 Express -2*d**4 + 1 + 3*d + 0*d + 0 + d**4 as n*d**2 + k*d + y + t*d**4 + f*d**3 and give k. 3 Express 4 + 50*g - 100*g + 49*g as v*g + o and give v. -1 Rearrange -4*f + 15*f - 10*f - 6 to o*f + n and give o. 1 Express 10 - 2*x + 33 - 18 as t + v*x and give v. -2 Rearrange (-1 + 0 + 3)*(1 + 0 + 3)*(-t + t + 2*t) to the form i + v*t and give v. 16 Express -19*w**3 - 12*w**3 + w - 3*w + 0*w as r + u*w**3 + o*w + n*w**2 and give o. -2 Express -41 + u**3 - 45 + 2*u**4 + 106 as p*u**2 + q*u**4 + f*u**3 + c*u + a and give a. 20 Rearrange 104*n**2 + n + 52*n**2 - 146*n**2 + 56*n**2 to d*n + w*n**2 + o and give w. 66 Express (n - 3*n + 3*n)*(0 - n**3 - 6 - 38) in the form c*n**3 + a*n**2 + l*n**4 + i + j*n and give j. -44 Express -105*q**4 + 105*q**4 - 71*q**4 + (-2*q**3 + q**3 - q**3)*(2*q + 2 - 2) in the form a*q**2 + d*q**3 + m + v*q + l*q**4 and give l. -75 Express 3*f - 3*f + 2*f + 11*f as p + o*f and give o. 13 Rearrange -6*n**2 + 0*n + 7*n**2 - 2*n + 7*n to the form v*n**2 + r*n + w and give v. 1 Rearrange -7*v**2 - 12*v**2 - v + v to the form q*v + c*v**2 + s and give c. -19 Rearrange (3*m - 2*m + 2*m)*(2*m + m**2 - 2*m) + (-2*m**2 + 4*m - 4*m)*(-2*m + m + 2*m) to the form l*m + q*m**3 + o*m**2 + r and give q. 1 Express (0 - 6 + 2)*(2 - 2 - 2*a)*(22 - 1 - 6) as t*a + q and give t. 120 Express (-3 + 3 - 2*u)*(6 + 2 - 2) + (-2 + 2 - 2)*(3 - 2*u - 3) as m + i*u and give i. -8 Rearrange 0*d**2 - 3*d**2 + 17 - 2*d**2 + 2*d**2 to the form r*d + t + m*d**2 and give m. -3 Rearrange 14*j + 10*j - 6*j + 9*j to d*j + y and give d. 27 Rearrange 158*h**2 - 520 + 520 + 17*h**2 to t*h**2 + c*h + w and give t. 175 Express (4*d - d - 5*d)*(-1 + 0 + 3)*((-4 + 1 + 5)*(0 + 1 + 0) - 4 - 2 + 5)*(7 + 1 - 2) as w*d + z and give w. -24 Express 3*n + 2*n**4 - 2*n + n**4 + 6 in the form j*n + k*n**2 + b*n**4 + r*n**3 + x and give x. 6 Express (4*j - 2*j + 0*j)*(4 + 3 - 6) + (-3 + j + 3)*(-2 + 0 + 1) as m*j + l and give m. 1 Rearrange 10*p**3 - 4*p**3 + 2 + 4*p**3 - 5 to l*p**3 + a*p + x*p**2 + u and give x. 0 Express (3 + 8 + 1)*(1 + h**4 - 6*h**4 + 0) as m*h**2 + j + t*h**3 + o*h + r*h**4 and give r. -60 Express -4*g - 13*g + 1 - 1 in the form w + d*g and give d. -17 Rearrange 3*l**3 - 8*l**4 - 3*l**3 - l**4 + 0*l**4 - l**4 + (-1 + 5 - 2)*(-2*l**3 + 2*l**3 + 2*l**4) to s + u*l**3 + f*l**4 + p*l**2 + j*l and give f. -6 Rearrange (-5*z - 9 + 9)*(3*z**3 + 3*z**3 - 4*z**3) - 2*z**4 + z**4 - 2*z**4 to the form y*z**3 + l*z**2 + b*z + j*z**4 + r and give j. -13 Express (-4 + 3 + 84*m - 86*m)*(0*m + 0*m - 2*m) as u*m + g*m**2 + v and give v. 0 Express 0*u + 0*u - 2*u + u - 1 + 1 + (-2*u + u + 0*u)*(4 - 2 - 4) + 0*u - 5*u + 3*u - u + 47 - 47 in the form w*u + z and give w. -2 Express 0*l - 15*l - 2*l**2 - 1 - 18*l - 20*l in the form b + i*l**2 + f*l and give f. -53 Express (y + 0 + 0 + 1 - 1 + y + (2*y + 1 - 1)*(-3 + 5 - 1) + 2*y + 1 - 1 + 3*y + y - 3*y)*(3*y - 7 + 9*y - 16*y) in the form r*y**2 + d + b*y and give r. -28 Rearrange 4*o**2 + 5*o**2 + 10*o**2 - 7*o**2 to g + h*o + j*o**2 and give j. 12 Express 2 + 95*y - 51*y + 83*y + 0 as w + j*y and give j. 127 Express 1816*u + 3*u**2 - 1786*u + 0*u**2 in the form d + q*u + f*u**2 and give q. 30 Express (y**2 - 4*y**2 + 4*y**2 + (y + y + 0*y)*(-203 + 203 - 19*y))*(-5 + 5 + y) in the form g*y**2 + i*y**3 + k + j*y and give i. -37 Express 16*q**4 - 3*q**4 - 8*q**2 + 6*q**2 - q as b*q + s*q**3 + a*q**4 + w + j*q**2 and give a. 13 Express 2*m - 2*m**2 - 3 - 3*m - 2*m + 5*m as s + z*m**2 + l*m and give z. -2 Express (7*u**4 - 1 + 1)*(-1 - 1 + 5) - 2*u**4 + 3*u**4 + 0*u**4 in the form h*u**4 + k + r*u**3 + s*u**2 + w*u and give h. 22 Rearrange -7*c + 2*c - 5*c + 8*c to the form n*c + j and give n. -2 Rearrange 0*b**2 + 24*b + 30*b - b**2 + 2*b**2 to g*b**2 + a + y*b and give y. 54 Rearrange 4*g**3 - 5*g**3 + 2*g**3 + (2 + 3*g - 2)*(2*g**2 + 1 - 1 - 2*g) to the form a + v*g + s*g**3 + w*g**2 and give w. -6 Express 5*y + 7*y - 3*y - 4*y in the form q + u*y and give u. 5 Rearrange (7*l - 10*l + l - 8)*(4 + 1 - 1)*(0*l - 5*l + 3*l) to the form w + z*l**2 + c*l and give z. 16 Express 0*h - 5 - 14*h**2 - h**3 - 8*h + 13*h**2 + 4 as u + o*h**2 + i*h**3 + j*h and give j. -8 Rearrange (-1 - 2 + 4)*(1 - 1 - 2*v) + (11 + 5 - 8)*(-v + 3*v - v) - 5 + 5 + 2*v to m + q*v and give q. 8 Express (-3*b**2 + 2*b**2 + 0*b**2)*(-2 + 3 + 0)*(0 - 4 - 4) as n*b**2 + a + j*b and give n. 8 Express -2 - r**2 - r**4 - 1 + 4*r + 4 as m*r**2 + f*r**3 + i + c*r**4 + w*r and give i. 1 Express (1 - 2*q - 1)*(q - 4*q + 0*q)*((-6*q + q + 2*q)*(-5*q + 4*q + 2*q) - 2*q**2 - q**2 - 4*q**2) as y*q**3 + w*q + p*q**4 + g*q**2 + s and give p. -60 Rearrange (5*w**2 + 0*w**2 - 4*w**2)*(-4 - w + 4) + (-9*w - 5 + 5)*(-3*w**2 + 0*w**2 + w**2) to the form n + m*w**3 + s*w + k*w**2 and give m. 17 Rearrange 20*i**2 - 2 + 2 + 8*i**2 to v*i**2 + z + t*i and give v. 28 Express -1 + z + 7*z**2 + 0 - 6*z**2 + 3 in the form f*z**2 + o*z + n and give n. 2 Rearrange -y - 2*y - 38 - 6*y + 11*y to the form t + l*y and give t. -38 Rearrange 2*p**2 + 4*p**4 + p**3 - 14*p**4 + 3*p**4 to the form y + v*p**2 + t*p**4 + u*p + x*p**3 and give t. -7 Express 2*l + 11*l + l - 24*l - l**2 in the form k + u*l + w*l**2 and give w. -1 Express (179 + 20 + 15)*(-m - 2 + 2) - 3*m + 2*m + 3*m + (4 - 6 + 3)*(m + 3*m - 3*m) + 0*m + 0*m + 2*m in the form k + d*m and give d. -209 Rearrange -17 - b + 15 - 9*b to the form u*b + n and give u. -10 Rearrange (-2 - 1 + 6)*(2*f - f - 3*f)*(2 - 2*f - 2) to n*f**2 + p + c*f and give n. 12 Rearrange -j + 2*j - 2*j + 1 + (0*j - 2*j + 0*j)*(-1 - 1 + 1) - 2*j + 0*j - 2*j to r + w*j and give w. -3 Express 0*f + 3*f + 4*f in the form r + g*f and give g. 7 Express l**3 - 3 + 3 + 3*l**3 + 2*l - 2*l + (l**2 - 3*l**2 + 0*l**2)*(-l + 2*l - 4*l) as b*l + r + p*l**3 + z*l**2 and give p. 10 Rearrange l**2 - l + 0*l + 2*l**4 - 3*l to u*l + d*l**3 + a*l**2 + h*l**4 + r and give a. 1 Express -b**3 + 6 - 3 + 3 in the form u*b**2 + c*b**3 + s*b + o and give o. 6 Rearrange 4*j**4 - 3*j**4 - 2*j**4 - j**2 - 17*j + 3*j**4 to the form s*j + h*j**3 + d + w*j**2 + m*j**4 and give w. -1 Express 9*u**2 + u**2 + 1 + u - 1 as k + g*u**2 + v*u and give g. 10 Express 111*s + 11652 - 11652 as t + d*s and give d. 111 Rearrange 2*m**2 - 2*m**3 - 4*m**3 + 2*m**4 + 1 - 2*m**3 - 4*m**4 to the form a*m**4 + b*m**3 + w*m**2 + o + u*m and give u. 0 Express (-8 - 16 + 31 - 11)*(w - 2*w - 2*w) in the form f*w + l and give f. 12 Express 156*k - 6 - 156*k + k**2 - 3*k**2 as l*k + b*k**2 + u and give u. -6 Rearrange -3 + 12*x**2 - 2*x - 10*x**2 + 3 to the form a + t*x + c*x**2 and give t. -2 Rearrange (-7*r + 0*r - r)*(-r + 0*r**3 - 2*r**3 - 2*r**3) to t*r**3 + w*r**4 + s*r**2 + h*r + z and give s. 8 Express (3*n - 2*n + n)*(-51 + 12*n + 51) + 4*n - 4*n - 4*n**2 in the form x*n**2 + z*n + j and give x. 20 Rearrange 2*g**2 + 6*g**2 - 1 + 3*g**3 - 7*g**2 + 0 to the form p + z*g + w*g**2 + d*g**3 and give p. -1 Rearrange 12*r**4 + 2*r**2 + 10*r**3 - 9*r**3 + 7*r - 10*r**4 to the form l*r + v*r**3 + g*r**
{ "pile_set_name": "DM Mathematics" }
derivative of 19*m**5/5 + 16*m**3/3 - 10. What is the third derivative of o(p) wrt p? 456*p Find the third derivative of 5*q**2 - 4*q**4 + 0*q**4 - 13*q**2 wrt q. -96*q Let p(x) be the second derivative of 0*x**3 - 5/12*x**4 + 3*x**2 + 0 - 2*x. What is the derivative of p(t) wrt t? -10*t Suppose 2*v - 8 = -m - v, -v = -2. Find the third derivative of -o**5 + 0*o**3 + 0*o**3 - 2*o**5 - 2*o**m wrt o. -180*o**2 Let g be (1 - (-2 - -2)) + -3. Let x = -2 - g. What is the derivative of -j + 0 - 2 + x wrt j? -1 Let i(l) be the second derivative of -1/30*l**6 + 0 + 0*l**3 - 1/12*l**4 + 0*l**2 + 7*l + 0*l**5. What is the third derivative of i(y) wrt y? -24*y Suppose -4*a = -7*a + 9. Differentiate -2 - 6*y + 0 - 1 - a with respect to y. -6 Let s(z) be the third derivative of z**5/4 + z**4/2 - 8*z**2. Find the second derivative of s(q) wrt q. 30 Suppose 4*d - y - y + 14 = 0, -2*d - 3*y + 13 = 0. Let r be ((-15)/(-10))/(d/(-2)). What is the third derivative of 0*n**3 + 3*n**2 - 2*n**2 + 3*n**r wrt n? 18 Let o(b) = b**3 + 9*b**2 + 12*b - 10. Let t be o(-7). Let j be 9*(4/3)/2. What is the third derivative of -3*x**2 + j*x**2 - t*x**5 - 7*x**2 + 2*x**2 wrt x? -240*x**2 Let u(b) be the first derivative of -2*b + 0*b**4 + 3 + 2*b**2 + 0*b**3 + 1/10*b**5. Let x(l) be the first derivative of u(l). Differentiate x(m) wrt m. 6*m**2 Let l(j) be the first derivative of 41*j**2/2 - 26*j + 20. What is the derivative of l(q) wrt q? 41 Let p be (-2)/1 - (-20)/4. Find the second derivative of -7*z**p - 3*z + 7*z**3 + 3*z**5 wrt z. 60*z**3 Let i(z) = z**5 + z**3 + 1. Let s(j) = 16*j**5 + 5*j**3 + 13*j**2 + 5. Let f(y) = -5*i(y) + s(y). What is the third derivative of f(m) wrt m? 660*m**2 Let q(s) be the first derivative of 1 - 2/5*s**5 + 0*s**4 + 0*s + 0*s**2 + 4/3*s**3. Find the third derivative of q(p) wrt p. -48*p Suppose 0 = 4*n - 3*r - 4, 5*n + 3*r - 1 = 4. Let f = n - -1. Find the third derivative of -5*h - f*h**5 + 5*h + 3*h**2 wrt h. -120*h**2 Let j(o) = -10*o**3 + 4*o**2 - 9*o. Let y(r) = 11*r**3 - 3*r**2 + 10*r. Let g(f) = -3*j(f) - 4*y(f). What is the second derivative of g(q) wrt q? -84*q Let z = -4 - -4. Let k(f) be the second derivative of 0 - 1/10*f**6 + 0*f**5 + 1/6*f**3 + 0*f**2 + z*f**4 + f. Find the second derivative of k(s) wrt s. -36*s**2 Let q(g) be the first derivative of -g**7/280 + g**4/8 + g**3 + 2. Let j(c) be the third derivative of q(c). Differentiate j(i) wrt i. -9*i**2 Let h(m) be the third derivative of m**9/12096 - m**6/720 - m**5/15 - m**2. Let j(u) be the third derivative of h(u). Differentiate j(y) with respect to y. 15*y**2 Let g be (-6)/10 + 10/(-25). Let w = 2 - g. Find the third derivative of w*i**4 - 5*i**4 + 2*i**2 + 0*i**2 wrt i. -48*i Let n(t) be the third derivative of -17*t**7/210 - 3*t**5/10 - 7*t**2. Find the third derivative of n(y) wrt y. -408*y Let w = -9/2 + 29/6. Let z(j) be the first derivative of 3 + j**2 + w*j**3 + 0*j. Find the second derivative of z(r) wrt r. 2 Suppose 5*d = d + y - 3, y = -3*d + 3. Let r(m) be the third derivative of 1/24*m**4 + 0*m + d + 1/6*m**3 + m**2. Differentiate r(l) wrt l. 1 Let i(x) be the first derivative of 0*x**2 + 0*x + 0*x**4 + 1/3*x**3 + 0*x**5 - 2 + 1/6*x**6. Find the third derivative of i(c) wrt c. 60*c**2 Let z be 2/(-6) + (5/3)/5. Let p(y) be the second derivative of 0*y**3 + z + 3/2*y**2 - 1/20*y**5 + 0*y**4 + 2*y. Differentiate p(q) wrt q. -3*q**2 Let n = 1 - 5. Let q(o) = 5*o**3 + 3*o - 4. Let u(y) = -4*y**3 - 3*y + 3. Let i(a) = n*u(a) - 3*q(a). Find the second derivative of i(j) wrt j. 6*j Let d(l) = l**2 + 5*l + 6. Let f be d(-4). Suppose -10 + f = -4*u. Find the third derivative of -2*r**3 + r**u - 3*r**2 + 3*r**2 wrt r. -12 Find the second derivative of 6*n + 2*n**5 + 2*n - 5*n**5 wrt n. -60*n**3 Let u(n) be the third derivative of 5*n**8/112 - 19*n**5/60 - 9*n**2. What is the third derivative of u(x) wrt x? 900*x**2 Let o(x) be the second derivative of -x**7/210 + 5*x**4/24 + 2*x**2 - 3*x. Let r(n) be the first derivative of o(n). Find the second derivative of r(i) wrt i. -12*i**2 Let k(n) be the second derivative of -n**6/120 + 4*n**3/3 - 5*n**2/2 + 2*n. Let p(f) be the first derivative of k(f). Find the first derivative of p(s) wrt s. -3*s**2 Suppose -5 = -4*o + 7. Find the third derivative of v**2 - o*v**6 + 2*v**6 + 0*v**2 wrt v. -120*v**3 Let t(s) = -s**3 - 6*s**2 + 7*s + 4. Let l be t(-7). Find the third derivative of -6*r**2 + 3*r**2 + 3*r**l - 2*r + 2*r wrt r. 72*r What is the second derivative of 4*p + 3*p**5 + 11*p - 10*p wrt p? 60*p**3 What is the first derivative of -1 + 5 - 3*s**2 - 6 + 10 wrt s? -6*s Let b = -3/32 + 11/32. Let o(t) be the first derivative of 2/3*t**3 + 1 - b*t**4 + 0*t + 0*t**2. What is the third derivative of o(c) wrt c? -6 Let y(f) = 125*f - 126. Let a(j) = 25*j - 25. Let c(t) = -11*a(t) + 2*y(t). What is the derivative of c(q) wrt q? -25 Let g(t) = -t + 2. Let w be g(-4). Let j = 2 + 2. What is the third derivative of -3*d**2 - j*d**3 - w*d**2 + 4*d**2 + 4*d**2 wrt d? -24 Let u(k) be the third derivative of -11*k**4/8 - 7*k**3/2 + 4*k**2. What is the derivative of u(b) wrt b? -33 Let a(h) = -7*h**3 + 11*h**2 + 12. Let d(v) = -4*v**3 + 6*v**2 + 6. Let k(x) = 6*a(x) - 11*d(x). Find the first derivative of k(t) wrt t. 6*t**2 Let f(k) be the first derivative of -2*k**6/15 + 3*k**3/2 + 3*k + 3. Let i(d) be the first derivative of f(d). What is the second derivative of i(s) wrt s? -48*s**2 Let i(x) be the second derivative of -5*x**7/21 - x**3/3 - 8*x. What is the second derivative of i(b) wrt b? -200*b**3 Suppose 5*r - 3*i = 16, r + 10 = 2*r - 4*i. What is the second derivative of 2*y**2 - 10*y + y**2 - 5*y**r + y**2 wrt y? -2 Let j(i) = 6*i**4 + 4*i**3 - 9*i**2. Let h(q) = -85*q**4 - 55*q**3 + 125*q**2. Let u(n) = -4*h(n) - 55*j(n). Find the third derivative of u(t) wrt t. 240*t Let n(s) be the second derivative of -7*s**5/10 - s**4/12 + 25*s. What is the third derivative of n(l) wrt l? -84 Let d(q) be the first derivative of -2*q**2 + 11*q**3 - q**6 + 2*q**6 - 4 - 11*q**3. What is the second derivative of d(r) wrt r? 120*r**3 Let j(f) be the third derivative of -2*f**7/105 + 2*f**3/3 + 5*f**2. What is the first derivative of j(z) wrt z? -16*z**3 What is the second derivative of h**3 + 3*h - 11*h - 10*h**3 wrt h? -54*h Let k(x) be the second derivative of 2*x**4/3 - x**2 + 8*x. What is the first derivative of k(l) wrt l? 16*l Let b(y) be the second derivative of -11*y**6/15 - 29*y**2/2 - 10*y. What is the derivative of b(m) wrt m? -88*m**3 Find the second derivative of 55*h**2 - 53*h + 196 + 202 - 398 wrt h. 110 Let f(b) = 4*b**3 - b. Let p(q) = -q**3 - q. Let k(v) = f(v) - 5*p(v). What is the second derivative of k(a) wrt a? 54*a Let t be (-10)/((0 - 1)*2). Let z = -2 + t. Differentiate 1 - 4 + 4 + b**z with respect to b. 3*b**2 Let z(y) be the second derivative of 9*y**5/20 + 19*y**4/12 + 19*y. Find the third derivative of z(f) wrt f. 54 What is the second derivative of -12*t**2 + 11*t + 23*t - 17*t**2 wrt t? -58 Suppose 4*p + i = 3*i + 8, -5*i = p - 24. Suppose d - 2 + p = 0, 5*f + 4*d = 12. Find the second derivative of 0*z**3 - 3*z - z**f + 5*z + 0*z**3 wrt z. -12*z**2 Suppose c = 6*c - 15. Differentiate w**c + 3 - 4 + 4 + w**3 with respect to w. 6*w**2 Let w(x) be the third derivative of 0*x**7 + 1/84*x**8 + 1/30*x**5 + 0 + 0*x + 0*x**4 - 4*x**2 + 0*x**6 + 0*x**3. Find the third derivative of w(o) wrt o. 240*o**2 Let c(i) = 8*i**3 - 3*i**2. Let q(b) = -12*b**3 + 5*b**2. Let u(r) = 8*c(r) + 5*q(r). What is the third derivative of u(g) wrt g? 24 Let d(h) = 49*h**4 - 4*h**2 + 4*h + 49. Let i(q) = 97*q**4 - 9*q**2 + 9*q + 99. Let f(p) = 9*d(p) - 4*i(p). What is the derivative of f(t) wrt t? 212*t**3 Let s = 11 - 7. Suppose r = -r + s. What is the derivative of 4 - r - 5*b**3 + 3*b**3 wrt b? -6*b**2 Let n(y) = 25*y**4 + 5*y**3 - 5*y**2 + 5*y - 39. Let r(o) = -12*o**4 - 2*o**3 + 2*o**2 - 2*o + 19. Let x(z) = -2*n(z) - 5*r(z). Differentiate x(b) wrt b. 40*b**3 Let z = -2 + 20. What is the second derivative of 18 - z + 5*r**4 + 6*r wrt r? 60*r**2 Let x(w) = 3*w**2 + 18*w - 7. Let z(j) = j**2 + 9*j - 3. Let i(v) = -3*x(v) + 7*z(v). What is the second derivative of i(d) wrt d? -4 Suppose 0 = -3*u + 14 + 4. What is the first derivative of
{ "pile_set_name": "DM Mathematics" }
4*h, -5*i - 3 = -8*i. Let b be 2/3 - (-8)/h. Let c(o) = o**3 - o**2 - 2*o. Let f be c(b). Solve -t = -f*t - 5 for t. 5 Let d be 4/12*(-30)/(-2). Suppose m + 0*m + 3 = 0. Let k = m + d. Solve 3*r = k*r for r. 0 Let b(x) be the second derivative of x**4/12 + 11*x**3/6 + 7*x**2 + 4*x. Let a be b(-10). Solve -3*c - a = c for c. -1 Suppose 5*r - 4*z = z + 10, z + 2 = -3*r. Solve 4*w + 4 = -r*w for w. -1 Suppose i + 0*a - a = 1, -2*a + 12 = 5*i. Suppose -2*v + 4 = -4*n, 10 = -5*n + i*n + 5*v. Solve n = -4*b - 10 - 10 for b. -5 Let k(d) be the third derivative of d**5/30 - d**4/4 - d**3/2 + 3*d**2. Let y be k(5). Solve y = -5*n - 8 for n. -5 Let u be (1 + 1)/((-4)/(-54)). Let x = u - 17. Solve -3*i - 2 = x for i. -4 Suppose 5*x - 5*h = 39 + 1, -3*x + h + 20 = 0. Solve 0*f + 2*f = -x for f. -3 Let v(j) = j**3 + 7*j**2 + 5*j - 1. Let h be v(-6). Let n = 14 + h. Solve n = 4*m - 1 for m. 5 Let u(d) = d**2 + 5*d - 5. Let c be u(-6). Suppose 0 = b - c - 2. Suppose l = 5*l - 4*o - 16, o + 12 = b*l. Solve -2*g + l = -0*g for g. 2 Let v be (-5)/2*(-12)/10. Let q(z) = -z**2 - 4*z - 3. Let t be q(-2). Let x be (-3)/9*0*t. Solve 4*f - v*f + 4 = x for f. -4 Let q(s) = -s**3 - 7*s**2 - 8*s - 7. Let o be q(-6). Suppose -3*w - 3*p + o = 2*w, -w = -2*p - 1. Solve -3*m - 4 = -w for m. -1 Let s = 20 - 11. Let q be 1/2 + s/(-18). Solve -2*m + q = -4 for m. 2 Let r(p) = -p**2 - 11*p + 39. Let n be r(-13). Solve -4*m + 1 - n = 0 for m. -3 Let q = -7 - -9. Let z be (-35)/(-45) - (-4)/18. Suppose -4 - z = -c. Solve x - q + c = 0 for x. -3 Suppose 25 = -74*k + 79*k. Solve 15 + 5 = k*p for p. 4 Suppose 2*x - 6*x = -4*o, 3 = 5*x - 4*o. Let k(v) = v**3 + v + 1. Let d be k(-1). Let z be (-3 - d)*x/(-2). Solve -z*c = -c - 8 for c. 4 Let w(v) = v**3 + 3*v**2 + 4*v + 4. Let n be w(-2). Suppose 5*t + 5 = 0, 0 = -2*m - n*m + 5*t + 17. Solve -q = q + m for q. -3 Let h(z) = -2*z + 16. Let b be h(5). Solve r - 2 = -b for r. -4 Let s(l) = l. Let t be s(7). Suppose -4*d - 21 = -t*d. Solve -d*a + 15 = -2*a for a. 3 Suppose 0 = 2*m + 33 + 25. Let n be m/(-9) - (-4)/(-18). Solve -n*c = -2*c + 5 for c. -5 Suppose 12 = 2*f + 2*f. Suppose -f*b - 4*u = -22, 0 = b + u - 6*u + 18. Suppose 4 = -t + b, -31 = -5*x + 3*t. Solve 4*y - x = -17 for y. -3 Let u(r) = -r**3 - 5*r**2 - 2*r + 2. Let v be u(-2). Let l be (-2)/3 + (-22)/v. Let m be 1/(-3) - 28/(-21). Solve -k - l = m for k. -4 Suppose 0 = -c + 7*c - 48. Solve -p = p + c for p. -4 Let h(f) = -f**2 - 8*f - 15. Let s be h(-5). Suppose 0 = -0*l - l + 4. Solve s = -b - 0*b - l for b. -4 Let z be (0 + 0/(-4))/1. Solve z*s - 6 = 3*s for s. -2 Let b(n) = n**3 - 8*n**2 - 8*n - 5. Let k be b(9). Let a be 4/(-10) + (-60)/(-25). Solve k = -t + a*t for t. 4 Let s be 6/(-8) - (-150)/40. Solve j = s*j + 8 for j. -4 Suppose 25 = k + 5*r, -k + 2*r + 2 = k. Solve g = k*g for g. 0 Suppose 0 = v - 0*v - 4. Let d(y) = y**2 + 3*y + 2. Let f be d(-5). Solve -o - f = -v*o for o. 4 Let t = 2 + 1. Suppose -3*g + t*b - 4*b = -15, -4*b - 36 = -4*g. Solve -4*i = g - 2 for i. -1 Suppose 5*n = 4*b - 30, -3*n - 44 = -5*b - 0*b. Solve -j - 4*j = b for j. -2 Let p(t) = t**3 + 9*t**2 + 9*t + 11. Let c be p(-8). Solve -u - c + 2 = 0 for u. -1 Suppose z - 4*z + m + 3 = 0, 5*m + 1 = z. Suppose -w = z - 4. Solve 6*l - w = 5*l for l. 3 Let i be (-648)/(-42) - 1/(-14)*-6. Solve 0*t - i = 3*t for t. -5 Let d(p) = 4*p**3 - 2*p - 1. Let x be d(2). Let k be (-3)/(-15) + x/15. Solve -10 = 3*m + k*m for m. -2 Suppose -u = -63 + 58. Suppose 5*j + w + 8 = 0, 2*j + w - 2 = 7*j. Let a = 3 - j. Solve a*l + u = -l for l. -1 Let y be (-1 + (-5)/(-10) - -1)*8. Solve -y*u + 0 = -16 for u. 4 Suppose -5*c - 2*z + 69 = -5*z, -3*c - 4*z + 24 = 0. Solve -3*g + 3 = c for g. -3 Suppose -4*r - g = -21, r = -5*g - 1 + 30. Let l = r + -4. Solve -2*x + l = -6 for x. 3 Suppose -4*n = -4, n + 11 + 3 = -3*y. Let a = y + 8. Solve 6*s = 3*s - a for s. -1 Let n(j) = -j - 2. Let f be n(-2). Suppose f = -3*l - 0*l + 6. Solve k = -l*k for k. 0 Suppose 19 = 8*u - 5. Solve -u*c - c = -16 for c. 4 Let a = -14 + 33. Suppose 4*l = 2*l + 10. Suppose -c + 2 = -v + 3*v, -l*c = v - a. Solve 6 = c*p - 2*p for p. 3 Let g(p) = 2*p**2 - 4*p. Let m be g(3). Solve -o + m*o + 25 = 0 for o. -5 Let r = 18 - 13. Let a = r + -5. Suppose g + 3*g = a. Solve 4*h + 28 - 12 = g for h. -4 Let k = -5 + 9. Let c = -3 - -1. Let d be 45/25 + c/(-10). Solve d*p - k*p + 2 = 0 for p. 1 Suppose 3 + 8 = 11*l. Suppose 6 = 5*u + 2*v, -3*u - 2 = -2*u + 2*v. Solve p = -l + u for p. 1 Let m be -2*(3 - (6 + -2)). Suppose -2*u = m*u - 20. Solve -3 = -u*g - 13 for g. -2 Let m(i) = -i + 3. Let u be m(3). Solve 9 = -u*c + 3*c for c. 3 Let k(o) = -4*o - 12. Let b be k(-8). Suppose -f + 5*u + b + 0 = 0, 2*f - u = 4. Solve f*w = w for w. 0 Suppose 2*c + 4 - 8 = 0. Solve -c*z + 12 = z for z. 4 Suppose 2*a + 2 = 3*a - 4*k, -k = 0. Suppose 3*v - 4 - a = 0. Let b be (4/4*-8)/(-2). Solve -v = 3*c + b for c. -2 Let z be (1/(-3))/((-3)/27). Solve 0 = -0*v - z*v for v. 0 Let w = -13 + 18. Let x = -38 - -42. Suppose -5*g + 27 = 3*p, -x*g + 0*g - w*p = -32. Solve l = -g*l - 4 for l. -1 Suppose -5*m = -94 - 6. Solve p + m = 6*p for p. 4 Let p be (-12)/(-2) + 0 + 2 + -3. Suppose 30 = -y + 6*y. Solve -r - p = -y*r for r. 1 Let w(v) = v**2 + 25*v + 69. Let a be w(-22). Solve x = a*x for x. 0 Let r(t) = -t**2 + 21*t + 3. Let g be r(21). Solve 0 = -g*x + 4 - 10 for x. -2 Let j(b) = b**2 + 5*b + 6. Let m be j(-5). Let t = m + -4. Solve a - t + 3 = 0 for a. -1 Let o(x) = -x**2 - 6*x - 5. Let b be (0 + -3)*(2 - 1). Let l be -2*(-10)/12*b. Let s be o(l). Solve 5*f = -s*f - 10 for f. -2 Suppose 2*s - 2*d + 2 = 0, 0 = 3*d - 2*d + 2. Let f(x) = -2*x - 4. Let j be f(s). Solve -5 - 3 = j*p for p. -4 Let d(q) = -q**3 - 3*q**2 + q - 9. Let x be d(-4). Solve x + 0 = 3*v for v. 1 Let v(x) = x**2 + 5*x - 4. Let p be v(-6). Let k = 7 - p. Solve 0 = -k*s + 17 + 3 for s. 4 Let t be 2 - 1*(-1 + 3). Solve t*u = 2*u - 4 for u. 2 Let j = -6 + 16. Solve -5*k - 5 = j for k. -3 Let d be 188/60 + (-2)/15. Solve d + 13 = 4*v for v. 4 Let t(y) = y + 12. Let i be t(13). Suppose 0 = -3*c - 4*f + 7, 3*f + i = 3*c - 2*f. Solve 0 = -j + c - 0 for j. 5 Suppose -n - 5 = 4*n, 11 = 3*y - 2*n. Solve -y*t + 10 + 2 = 0 for t. 4 Let n = 78 - 77. Solve 3 - n = 2*v for v. 1 Let k(x) = 2*x + 1. Let w be k(1). Let m = 3 - -1. Let b = -2 + m. Solve 7 = b*f - w for f. 5 Suppose -4*q = 3*r - 14, 3*q + 2*r + 2*r - 14 = 0. Let n(p) = -p**2 + 2. Let x be n(0). Solve -q*l = x*l for l. 0 Let p be (-3)/1 + 1 - -5. Suppose a - p*a + 8 = 0. Let r(y) = y**2 - 3*y - 2. Let w be r(a). Solve -w = 2*l + 6 for l. -4 Let w(v) = -v + 2. Let n be w(-5). Let g = n - 7. Solve 4*i + 8 = -g*i for i. -2 Let b = 1 + 4. Let i = 8 - 6. Let p = i - -1. Solve p*q = b*q - 2 for q. 1 Let o(w) = 3*w**2 + w. Let f be o(1). Let k = -4 + 6. Suppose n - f = -k. Solve z + n - 1 = 0 for z. -1 Let y be 1*(2 + -2)/(-2). Let t be 2 - y - (-1 - -3). Suppose c = -2*c - 4*b + 4, c - 4*b + 4 = t. Solve c*w + 4 = 2*w for w. 2 Suppose 0 = -h + 4 - 2. Suppose 3*v = 5*y - 5, -4*v + 38 - 10 = h*y. Solve -y*l + 6 + 2 = 0 for l. 2 Suppose -5*x = -4*z - 33, 3*z - 44 = -4*x + 1. Solve -5*m + 4 = x for m. -1 Let b(j) = -j**3 - 8*j**2 - 7*j. Suppose -2*i - 4 - 10 = 0. Let y be b(i). Solve y + 4 = -2*w for w. -2 Let m = -24 + 29. Let j be ((-3)/2)/(3/(-2)). Solve -m*h + 16 = j for h. 3 Let i be 78/12*2/1 + -4. Let z be (2 - 1) + 0 + 4. Let s = i - z. Solve -c = -s*c + 15 for c. 5 Let h be 4 + -2 - 2 - -4. Solve -3*s - 1 = -h for s. 1 Let q = 0 + 1. Let b = q - 1. Solve 0 = 4*z - b*z + 8 for z. -2 Suppose 0*i - 19 = -3*m + i, i + 14 = 2*m. Solve 0 = -m*h + 2*h + 12 for h. 4 Let c(v) = -v**2 - v + 3. Suppose 0 = 2*k - 2*x - 0*x - 6, 0 = -5*x - 15. Let l be c(k). Solve l*r = -0*r for r. 0 Let r be (1 - 1)/(2 + 1 - 1). Solve 3*c - 5*c - 8 = r for c. -4 Suppose 0 = -a + r - 4*r + 7, -4*a + r + 15 = 0. Suppose -43 + 3 = -a*q. Solve -3*w + q + 5 = 0 for w. 5 Let c be (12 + -14)*1*-1. Solve c*x + 2*x - 12 = 0 for x. 3 Let o be 32/14 - 22/77. Solve -5*w + 3 = -o for w. 1 Suppose 2*c = 3*d + 39, 39 = 2*c - 5*d - 6. Solve 4*l = -3 + c for l. 3 Suppose 3*d - 32 = 3*t - d, 3*d = t + 19. Let f be (t/6)/(5/(-15)). Solve 0 - 4 = f*k for k. -2 Suppose 5*g + 10 = 3*r, -10 = r + 5*g - 0. Solve 4
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = o*a - 2*i - 141 - 1, 5*a + 2*i = 182. Calculate the greatest common factor of 324 and a. 36 Suppose -15*y = -17*y + 3*k + 6900, 17224 = 5*y - k. Calculate the greatest common factor of 28 and y. 28 Suppose -114*g + 10*g = -3477 - 17739. Calculate the highest common factor of 1377 and g. 51 Let o = -64 - -66. Suppose -202 + 34 = -o*u. Let h = u - 46. What is the highest common factor of 190 and h? 38 Suppose -130*s - 146*s = -258*s - 3654. Suppose 139 = 2*o - 93. What is the highest common divisor of s and o? 29 Suppose -77*j + 290958 = -16503. What is the greatest common divisor of 132 and j? 33 Suppose 0 = 5*n + 2*b - 16, 2*n - 3 + 5 = 2*b. Let z be 4 + (0 - 3) + 0. Calculate the highest common divisor of z and n. 1 Let s be -7 + (31 - (0 - 4)). Let r be 72/s*196/6. Calculate the greatest common divisor of r and 63. 21 Let b = 64160 + -15707. Calculate the highest common divisor of b and 31. 31 Suppose 57*j - 54*j = 15. Suppose 5*f - 5 = 0, -2*h + 20 + 33 = j*f. What is the highest common divisor of 32 and h? 8 Suppose -5*t + 35 = -70. Let p = -223 + 237. What is the highest common divisor of p and t? 7 Let s(d) = -3*d - 9. Let i be s(-8). Suppose -2*a = 0, -48*c - 1845 = -51*c + 2*a. What is the greatest common divisor of c and i? 15 Let o = 72 - 77. Let n be (-2)/(158/890 + 1/o). Let a = -70 + n. Calculate the greatest common divisor of 38 and a. 19 Suppose -6*r + 39 = -5*r. Suppose 13086 = -57*i + 16791. What is the greatest common factor of r and i? 13 Suppose 623*t = 12182092 + 11178539. What is the highest common factor of 87 and t? 87 Let f = -12604 + 13155. Calculate the highest common factor of f and 38. 19 Let w = 103 + -60. Suppose 85 = 7*b + 260. Let h = w + b. Calculate the greatest common factor of h and 9. 9 Let v = 14296 + -12180. Calculate the greatest common factor of v and 322. 46 Suppose 277*l - 4*o = 273*l + 172, -l + 4*o + 43 = 0. Calculate the greatest common divisor of 69 and l. 1 Suppose 2730 = -123*o + 133*o. What is the greatest common factor of 63 and o? 21 Let c = 10 - 6. Let z(o) = 3*o. Let k be z(c). Let a = -3686 + 3710. What is the highest common divisor of k and a? 12 Let k be 82 - -8*(-14 + 9 + 6). What is the greatest common divisor of k and 130? 10 Let b(y) = y**3 - 10*y**2 - 4*y - 31. Let l be b(12). Suppose 3*q - l = -4*g, q + q - 130 = -5*g. Calculate the highest common factor of 60 and q. 15 Let j(b) = -b + 7. Suppose i - 4*y = -y - 36, 4*i + 74 = -2*y. Let o = i - -26. Let x be j(o). What is the highest common factor of 22 and x? 2 Suppose g + g - 56 = 0. Let d = g + -30. Let a be (5 + d - -9) + -2. What is the greatest common divisor of a and 20? 10 Let o(j) = j**2 + 22*j + 6. Let s be o(-22). What is the highest common factor of 195 and s? 3 Let w = 5718 - 5620. What is the greatest common divisor of 3 and w? 1 Let h be (0 + 1)/(10/20). Suppose h*p - 65 = -3*p. Suppose 0 = 21*n + 4*n - 650. What is the highest common factor of n and p? 13 Suppose -64*x - 522522 = -150*x + 68*x. Calculate the greatest common factor of 319 and x. 319 Let a = 45 - -77. Suppose 0 = -3*u + a + 118. Let d be (-2*12/(-20))/(3/u). Calculate the greatest common divisor of d and 4. 4 Suppose -4*z = 6*b - 4278, 2*b - 399 = -4*z + 1035. What is the greatest common divisor of 3239 and b? 79 Suppose -4*q + 4 = v + v, 0 = -q - 3. Suppose -32*z + 30*z = -v. Suppose -350 = -5*j - 5*b, j + z*j - b = 338. Calculate the highest common divisor of 17 and j. 17 Let k = -29015 + 29036. What is the greatest common factor of k and 6538? 7 Let o be (2 + 148/(-14))*((14 - 0) + -133). What is the greatest common divisor of 120 and o? 60 Let d = -89 + 115. Let b = 43 + -31. Suppose 0 = -4*c + b, -2*u + 638 = 3*u - 4*c. What is the greatest common factor of u and d? 26 Suppose 373*g = 391*g - 64944. What is the greatest common divisor of 246 and g? 82 Let c = 6137 - 5776. What is the highest common divisor of c and 133? 19 Suppose 12 = -4*h, 24 = -2*s - 2*h + 26. What is the highest common divisor of s and 1446? 2 Let j be (56/3)/2*594/231. Let k(z) = 3*z + 6. Let a be k(6). Calculate the highest common factor of a and j. 24 Let h = -218 + 224. Let j(v) = -2*v + 5. Let k be j(4). Let r = 1 - k. What is the highest common divisor of h and r? 2 Let k = 1857 + -1861. Let z(d) = -1 + 8*d**2 + 0*d + 8*d + 4. Let n be z(k). Calculate the highest common factor of 11 and n. 11 Let b = 4 + 4. Suppose 0 + b = 4*n. Let p = -3871 + 3885. What is the greatest common divisor of p and n? 2 Suppose 4*l + 224 = -5*p + 8*p, 3*p + 2*l - 248 = 0. Calculate the highest common divisor of p and 470. 10 Suppose 40*x - 37*x + 3 = 0, 0 = -p + 4*x + 584. What is the greatest common factor of 740 and p? 20 Let m be 66/((-7)/(28/(-8))). Let x = m - -6. Let p be (276/(-336) + (-8)/(-14))*-12. Calculate the greatest common factor of x and p. 3 Let w(c) = 603*c**2 + 9*c - 4. Let b(o) = -o**3 - 9*o**2 + 20*o - 21. Let d be b(-11). Let q be w(d). Calculate the highest common divisor of q and 19. 19 Let n(k) = 12*k. Let z be n(6). Let h be (-2)/1 - z/(-12). Suppose 477 - 61 = h*c. What is the greatest common factor of 26 and c? 26 Suppose -5*b + 26325 = 5*r, 0*r + 5*b + 15771 = 3*r. What is the greatest common divisor of r and 6? 6 Let j(w) = -5108*w + 40. Let y be j(-1). What is the greatest common divisor of 66 and y? 66 Suppose -f - 3 = -7. Suppose 5*m - 36 = -f*l, 5*m - 2*m + 5*l = 32. What is the greatest common factor of m and 52? 4 Suppose 7562 = 5*c - g, -4*g + 1412 = c - 113. Calculate the highest common divisor of 34 and c. 17 Let h = 116 - 94. Calculate the greatest common factor of 4334 and h. 22 Let z(i) = i**3 - 13*i**2 - 4*i - 140. Let x be z(14). Suppose 7*j + 6*j - 689 = x. What is the highest common divisor of j and 159? 53 Suppose 0 = 3*x - 805 + 193. Let f = -287 + 299. What is the highest common factor of x and f? 12 Suppose 21*m - 3166 - 13822 - 27238 = 0. Calculate the highest common divisor of 270 and m. 54 Let p(k) = k**3 - 16*k**2 - 13*k + 9. Let z be p(17). Suppose z = -6*s + 149. Calculate the greatest common divisor of s and 1. 1 Suppose -b - 3*j = -j - 90, -2*b - j = -189. Let l = 1228 - 1100. Calculate the greatest common factor of l and b. 32 Let k be ((-5)/(-30)*15)/(3/6). Let f(i) = -12*i + 15. Let s be f(k). Let p = s - -63. Calculate the highest common factor of p and 45. 9 Let u be ((-106)/(-10) + -1)/((-174)/(-7395)). Calculate the greatest common factor of u and 5372. 68 Let t(m) = -6485*m**2 - 1. Let v be t(1). Let u be v/(-15) - 5 - 2/5. Let z be (-2)/(-11) + (u/11 - 0). Calculate the highest common divisor of 26 and z. 13 Let h(o) = o**3 - 64*o**2 + 315*o - 386. Let k be h(60). What is the greatest common factor of k and 51? 17 Suppose 7*c = -13*c - 9*c + 870. Calculate the highest common divisor of 20 and c. 10 Suppose -3*m + 92 = -28. Let v(i) = 8*i + 35. Let x be v(-3). Let y be (x + 1)/(6/4). Calculate the highest common divisor of m and y. 8 Let d = -10327 + 10838. What is the highest common factor of 438 and d? 73 Let k = -543 - -1658. Let a = -923 + k. Calculate the highest common divisor of 6 and a. 6 Let l = 33 - 15. Let b be (-29)/(-203) + (-1511)/(-7). Suppose -202*v + 226*v = b. What is the greatest common divisor of l and v? 9 Suppose 2*k = -2, 254*h = 250*h + 5*k + 5453. What is the highest common divisor of 18 and h? 6 Let q = -49 + 301. Let j be 139/2 + (-8)/16 + 3. Calculate the highest common divisor of j and q. 36 Suppose 1167 = 3*m - 160*z + 156*z, 5*m = -4*z + 1881. Calculate the greatest common factor of m and 2413. 127 Suppose 306*z + 27300 = 345*z. Calculate the greatest common factor of 1550 and z. 50 Let b = 16 - 13. Suppose 2*a = 8*a - 138. Suppose b*q = 2*s - s - a, 2*s - 46 = -3*q. Calculate the highest common divisor of s and 69. 23 Let z be (-2)/((-8)/162)*41/(738/120). What is the greatest common factor of 570 and z? 30 Let t(j) = 6*j + 30*j + j + 3. Suppose -2*u = -2 - 0. Let r be t(u). What is the highest common factor of 8 and r? 8 Suppose 5*b - 113 = -4*s, 4*s - 95 = -b + 14. Let h be ((-324)/15)/((-3)/75). Suppose 6*m - m - h = 0. Calculate the highest common factor of m and s. 27 Suppose -25*q + 24 = -76. Calculate the highest common divisor of 314 and q. 2 Let s(l) = -l**2 + 25*l - 14
{ "pile_set_name": "DM Mathematics" }
31? 43, 853, 5689 List the prime factors of 2024470680. 2, 3, 5, 53, 318313 What are the prime factors of 22886842? 2, 11, 1040311 List the prime factors of 2215288217. 23, 79, 577, 2113 List the prime factors of 23713842. 2, 3, 3952307 List the prime factors of 255075142. 2, 7, 18219653 List the prime factors of 32713524. 2, 3, 302903 List the prime factors of 550949548. 2, 349, 563, 701 What are the prime factors of 513736438? 2, 256868219 List the prime factors of 113116458. 2, 3, 7, 13, 31, 41, 163 What are the prime factors of 1310707431? 3, 11, 13239469 List the prime factors of 98699527. 98699527 List the prime factors of 1873456847. 311, 1787, 3371 What are the prime factors of 195281410? 2, 5, 19528141 List the prime factors of 15232268. 2, 739, 5153 What are the prime factors of 139613834? 2, 69806917 What are the prime factors of 686685713? 7, 98097959 What are the prime factors of 1012787141? 9059, 111799 What are the prime factors of 625012287? 3, 2647, 78707 What are the prime factors of 14830994? 2, 1783, 4159 List the prime factors of 285100926. 2, 3, 11, 71, 5531 What are the prime factors of 156343185? 3, 5, 89, 103, 379 What are the prime factors of 76607047? 11, 6964277 What are the prime factors of 150514220? 2, 5, 733, 10267 What are the prime factors of 144870093? 3, 5365559 What are the prime factors of 147061904? 2, 11, 251, 3329 List the prime factors of 118756134. 2, 3, 7, 942509 What are the prime factors of 819183362? 2, 41, 619, 16139 What are the prime factors of 49881038? 2, 151, 331, 499 What are the prime factors of 10389456? 2, 3, 7, 11, 937 What are the prime factors of 76587160? 2, 5, 13, 147283 What are the prime factors of 531209307? 3, 177069769 What are the prime factors of 431916444? 2, 3, 11997679 What are the prime factors of 805570788? 2, 3, 11, 41, 47, 3167 List the prime factors of 25874452. 2, 6468613 List the prime factors of 109621697. 19, 61, 94583 List the prime factors of 1303932631. 617, 2113343 What are the prime factors of 98401531? 79, 1245589 List the prime factors of 79125383. 4621, 17123 List the prime factors of 38023168. 2, 9283 What are the prime factors of 6712874353? 349, 967, 19891 What are the prime factors of 35878707? 3, 19, 409 List the prime factors of 2358533237. 7489, 314933 List the prime factors of 25325885. 5, 13, 389629 What are the prime factors of 15093355? 5, 1459, 2069 List the prime factors of 249813292. 2, 19, 3287017 List the prime factors of 39110847. 3, 71, 139, 1321 What are the prime factors of 638890421? 13, 49145417 List the prime factors of 2566863544. 2, 7, 29, 1580581 List the prime factors of 63385202. 2, 31692601 List the prime factors of 71210341. 29, 2455529 What are the prime factors of 9219972? 2, 3, 83, 9257 List the prime factors of 122746562. 2, 17, 1171, 3083 List the prime factors of 80465618. 2, 233, 172673 What are the prime factors of 2882854532? 2, 241, 2990513 What are the prime factors of 278100380? 2, 5, 31, 157, 2857 List the prime factors of 1407730122. 2, 3, 29, 101, 26701 What are the prime factors of 352562920? 2, 5, 61, 131, 1103 List the prime factors of 6011713912. 2, 14783, 50833 What are the prime factors of 396332780? 2, 5, 19, 23, 137, 331 List the prime factors of 69668811. 3, 31, 67, 3727 What are the prime factors of 5071473561? 3, 7, 11, 37, 59, 89, 113 What are the prime factors of 56760000? 2, 3, 5, 11, 43 What are the prime factors of 40635798? 2, 3, 7, 89, 1553 List the prime factors of 50756183. 50756183 What are the prime factors of 295722605? 5, 59144521 What are the prime factors of 810478108? 2, 11, 2417, 7621 What are the prime factors of 140111624? 2, 19, 921787 List the prime factors of 770408331. 3, 7, 11, 43313 What are the prime factors of 211283020? 2, 5, 13, 812627 What are the prime factors of 34481603? 13, 83, 31957 What are the prime factors of 519554052? 2, 3, 14432057 What are the prime factors of 587129466? 2, 3, 7, 11, 181549 List the prime factors of 1115686072. 2, 521, 267679 List the prime factors of 54511525. 5, 593, 3677 What are the prime factors of 158476502? 2, 2909, 27239 What are the prime factors of 587633835? 3, 5, 107, 366127 What are the prime factors of 3504309? 3, 349, 3347 List the prime factors of 2699853080. 2, 5, 67496327 List the prime factors of 164953316. 2, 11, 3748939 List the prime factors of 47388846. 2, 3, 7898141 List the prime factors of 9214859615. 5, 13, 83, 1708037 What are the prime factors of 146935613? 11, 13357783 What are the prime factors of 160471546? 2, 80235773 List the prime factors of 46481858. 2, 23240929 List the prime factors of 119497318. 2, 17, 211, 16657 List the prime factors of 77240303. 7, 11034329 List the prime factors of 1144708998. 2, 3, 19, 10041307 List the prime factors of 78836738. 2, 19, 367, 5653 What are the prime factors of 781701014? 2, 101, 3869807 What are the prime factors of 1806048978? 2, 3, 47, 661, 9689 What are the prime factors of 11320327? 269, 42083 List the prime factors of 22214347. 1493, 14879 What are the prime factors of 4562561156? 2, 359, 3177271 What are the prime factors of 40015871? 7, 5716553 List the prime factors of 3611340069. 3, 10631, 113233 List the prime factors of 10539825. 3, 5, 89, 1579 What are the prime factors of 1632868725? 3, 5, 67, 324949 What are the prime factors of 313217331? 3, 7, 14915111 What are the prime factors of 1784603027? 5197, 343391 What are the prime factors of 516489551? 1663, 310577 What are the prime factors of 337372737? 3, 13, 8650583 List the prime factors of 1321320133. 7, 347, 77711 What are the prime factors of 10421222? 2, 7, 43, 2473 List the prime factors of 148014392. 2, 18501799 List the prime factors of 4093481122. 2, 2046740561 List the prime factors of 71958372. 2, 3, 1453, 4127 What are the prime factors of 2292632269? 2027, 1131047 What are the prime factors of 46711984? 2, 11, 47, 5647 List the prime factors of 3417832838. 2, 7, 353, 691589 What are the prime factors of 284287715? 5, 2333, 24371 List the prime factors of 1566541585. 5, 7, 17, 83, 31721 What are the prime factors of 2684078? 2, 379, 3541 What are the prime factors of 113842433? 19, 23, 13711 List the prime factors of 24691213. 23, 79, 107, 127 List the prime factors of 630222921. 3, 43, 277, 5879 What are the prime factors of 1461676672? 2, 11419349 What are the prime factors of 381570186? 2, 3, 63595031 What are the prime factors of 3549482? 2, 1774741 What are the prime factors of 177070786? 2, 7121, 12433 List the prime factors of 4961963572. 2, 1240490893 List the prime factors of 402733758. 2, 3, 7, 9588899 What are the prime factors of 6509069442? 2, 3, 31, 432037 List the prime factors of 231505764. 2, 3, 7, 23, 119827 List the prime factors of 2018968109. 2018968109 List the prime factors of 181729110. 2, 3, 5, 19, 318823 What are the prime factors of 117927808? 2, 23, 41, 977 What are the prime factors of 6571223? 6571223 List the prime factors of 28015012. 2, 23, 304511 List the prime factors of 190292053. 7, 27184579 What are the prime factors of 379533144? 2, 3, 1213, 13037 What are the prime factors of 168726517? 19, 277, 32059 What are the prime factors of 258365214? 2, 3, 239, 6673 What are the prime factors of 209154561? 3, 7, 11, 379, 2389 List the prime factors of 122750133. 3, 11, 3719701 What are the prime factors of 333098889? 3, 111032963 List the prime factors of 67400193. 3, 7, 79, 40627 List the prime factors of 1403303273. 19, 139, 531353 What are the prime factors of 66782369? 6263, 10663 List the prime factors of 276916564. 2, 19, 3643639 List the prime factors of 188775096. 2, 3, 7865629 What are the prime factors of 21677338? 2, 37, 457, 641 What are the prime factors of 120093262? 2, 19, 61, 103, 503 List the prime factors of 15790260. 2, 3, 5, 263171 List the prime factors of 2192209056. 2, 3, 19, 133541 List the prime factors of 25470713. 59, 431707 List the prime factors of 586435213. 7, 13, 17, 137, 2767 List the prime factors of 5335182847. 37, 389, 370679 List the prime factors of 35008143. 3, 53, 220177 What are the prime factors of 1884713957? 7, 71, 53411 List the prime factors of 1370041552. 2, 11, 23, 338449 List the prime factors of 2311094880.
{ "pile_set_name": "DM Mathematics" }
st -0.1? True Is -67/2 smaller than 2? True Is -12809 at most -12810? False Is -35/3 less than -11? True Which is greater: -9 or 0.016? 0.016 Which is smaller: 0 or 1.856? 0 Is 0 < -1/25? False Which is smaller: 1 or 2/265? 2/265 Which is bigger: 17.9 or -2? 17.9 Which is bigger: 88/79 or 2? 2 Is -126 at most as big as -109? True Is 5853 at most as big as 5854? True Which is smaller: 23201 or 23202? 23201 Is 46/15 bigger than 4? False Which is bigger: 0.2 or 13/9? 13/9 Which is smaller: 0.06 or -2.8? -2.8 Which is smaller: -2/3 or 19/6? -2/3 Is 5 > 174/41? True Which is smaller: 1 or -8/37? -8/37 Which is greater: -2/165 or 1? 1 Is -385/4 <= -95? True Which is smaller: -0.3 or 7.7? -0.3 Does 0 = -7/3433? False Which is greater: 53 or 54? 54 Are -466 and -467 equal? False Which is smaller: -573 or -8? -573 Is -3 greater than -8503? True Is -17/3 less than or equal to 28/3? True Is 391 less than 392? True Which is bigger: 18 or 109? 109 Which is greater: -25 or -2? -2 Is -50/39 greater than -2? True Which is bigger: -44 or -47? -44 Is 3/1265 less than 0? False Which is bigger: 144 or 146? 146 Do -3575 and -0.1 have different values? True Which is greater: 0 or -3/1430? 0 Do -33493 and -33494 have the same value? False Which is greater: 15 or 14? 15 Are -8/599 and 0 unequal? True Is 998 greater than or equal to 1/4? True Which is smaller: -35.9 or -0.1? -35.9 Is 12071 less than or equal to 2/3? False Which is smaller: 0 or -107.46? -107.46 Is -1/262 less than or equal to 0? True Which is smaller: 227 or 254? 227 Is -1/1411 > 0? False Is -11575 less than -11574? True Which is smaller: 3/7 or -65? -65 Is 10 at least 10? True Is -1 at most as big as 3/179? True Do -10 and -21 have different values? True Which is smaller: -82/17 or -2/3? -82/17 Which is greater: -1 or 1/198? 1/198 Is -2/6047 less than 1? True Which is smaller: -2/5165 or 0? -2/5165 Is -1321 not equal to -1319? True Is 6124 less than or equal to -1/4? False Is -25 < 0.5? True Which is bigger: 8/35 or -1? 8/35 Which is smaller: -0.27 or 0.086? -0.27 Is 0 <= -1/4178? False Is -5 < -18/11? True Which is bigger: -1 or 2/9757? 2/9757 Do -27 and -1383/49 have the same value? False Is -109 greater than or equal to -108? False Which is greater: 17733 or 17734? 17734 Is -5077 at most as big as -5077? True Is 21/17 smaller than 2? True Is -0.3 >= -5.6? True Is -1/5973 at most as big as -1? False Which is greater: -189 or -9/4? -9/4 Which is greater: -1 or 60/47? 60/47 Is 617/2 at most 310? True Is 1/117 at most as big as 148? True Is 10/17 less than or equal to 0? False Which is bigger: 613 or 612? 613 Which is bigger: -0.3 or 517? 517 Which is greater: 8 or 35/4? 35/4 Is -819/5 at most as big as -165? False Is -10 bigger than -12? True Which is smaller: 5 or 197/41? 197/41 Which is smaller: -1 or 23/62? -1 Is 0 bigger than -6/17? True Is -77 equal to 6? False Which is bigger: 0.19 or 4/13? 4/13 Which is bigger: -157 or 1/6? 1/6 Is -32063/4 smaller than -8016? False Which is bigger: -128 or 1? 1 Is 30 bigger than 6/5? True Which is bigger: -228/7 or -32? -32 Is -12 < -12? False Which is smaller: 0 or 3/190? 0 Which is greater: 6797 or 6798? 6798 Which is bigger: -3/8 or 1837? 1837 Which is smaller: 112 or 27? 27 Does -685 = -683? False Which is bigger: 33/35 or 0? 33/35 Is 214 at least 19? True Which is smaller: -1 or 55.7? -1 Which is smaller: 15 or -5? -5 Which is smaller: -1 or 1/2277? -1 Is -42 less than or equal to -42? True Which is smaller: 1 or -2018/13? -2018/13 Which is smaller: -311 or 0.2? -311 Is -466 at most as big as -468? False Is 30 equal to 8? False Is 372 less than or equal to 372? True Is -1580 >= -1577? False Is 1117 less than 8933/8? False Is -1/15162 less than 0? True Are -1593/5 and -318 equal? False Are -1 and 291 unequal? True Is -1/4 at least 1/47? False Is 470 >= 470? True Is -600 > -601? True Is -2 less than -52? False Which is bigger: -53 or -70? -53 Which is bigger: -1/145 or 1? 1 Is 66 < 67? True Is -1 at least -12/85? False Is 99 at most as big as 113? True Is 68 at most -4? False Which is greater: 66 or 71? 71 Which is smaller: -2492/3 or -830? -2492/3 Which is smaller: 1483 or -1? -1 Which is greater: 1/3 or -3/37? 1/3 Which is smaller: -47/259 or 0? -47/259 Which is smaller: -2/7 or 91/17? -2/7 Which is bigger: 1/1010 or -1? 1/1010 Are -35 and -35 unequal? False Which is bigger: -145 or -1013/7? -1013/7 Is -4287/5 bigger than -858? True Which is smaller: 24 or -11? -11 Which is bigger: 156 or 162? 162 Which is bigger: -2/55 or -6? -2/55 Which is smaller: -6/103 or 1? -6/103 Do -1/809 and 1 have the same value? False Is -53 at most -806/15? False Is 1 less than 4/2203? False Which is bigger: -409 or -4? -4 Are -77 and -1321/17 nonequal? True Is 2237 greater than or equal to 2239? False Is -1469 equal to -1470? False Which is smaller: -1 or -5/3? -5/3 Which is smaller: -0.2 or 6044? -0.2 Which is smaller: 8 or 17? 8 Is 306 at least as big as 306? True Is -433 at most as big as -428? True Is -195/2 at most -98? False Which is smaller: -375 or -377? -377 Is 1941/16 less than or equal to 120? False Is -5965 bigger than -5965? False Is 27717 at least as big as 1? True Are 8 and 105 unequal? True Is 5709 greater than 5710? False Which is smaller: 1 or -2353? -2353 Is -31/316 greater than -1? True Are -10789/6 and -1798 equal? False Is -15/49 > 0? False Which is smaller: 1070 or 1072? 1070 Which is smaller: -30 or -26? -30 Do 14 and 57/4 have the same value? False Which is smaller: 139 or 140? 139 Is 0 at least as big as -1/9666? True Which is greater: 0 or -10/7311? 0 Which is bigger: -1/7 or 5/22? 5/22 Is -135 smaller than -268? False Is 8/495 bigger than 0? True Which is smaller: -425 or -1.6? -425 Are 244 and 1/2 unequal? True Is -7/19 at least as big as 1/2? False Is 12 at least 624? False Is 1 greater than 552? False Which is smaller: -2/7 or 191? -2/7 Is -255 at most -254? True Which is smaller: -1 or -13/639? -1 Are -1 and -1/1616 non-equal? True Which is bigger: -20.85 or -2/5? -2/5 Which is smaller: 0.307 or 1/3? 0.307 Which is greater: 19 or 36? 36 Which is smaller: -2584 or -2592? -2592 Is 1/18642 != 1? True Is -8 at least as big as -120/13? True Which is bigger: -260 or -2852/11? -2852/11 Which is smaller: 0.3474 or -2? -2 Is -80/3 smaller than -26? True Is -5 greater than -102/29? False Which is bigger: -162 or -83? -83 Is 712 >= 746? False Does 0.1 = 1/7078? False Does 1 = -1? False Which is smaller: -5686 or -5683? -5686 Is 0 at most as big as -227/195? False Which is smaller: 84 or 1? 1 Do 183/4 and 46 have the same value? False Is -1/6468 smaller than 1? True Which is smaller: -214 or 43? -214 Is -2/1179 >= 0? False Which is smaller: 8448 or 8449? 8448 Is 52/9 at least as big as -31? True Which is smaller: 0.593 or -1? -1 Which is bigger: -2682 or -8047/3? -2682 Which is smaller: -1 or 2/2507? -1 Which is bigger: -22 or -11? -11 Is 17596 at least 0.1? True Is -1540 less than -1541? False Is -9/14 at least as big as 0? False Is -26 at least as big as -236/9? True Is -19 at least as big as -302/17? False Is 1/3 less than or equal to 32? True Is -1 at least -2/11935? False Is -812 smaller than -814? False Is 45/7 at most as big as 7? True Is -1259/4 less than or equal to -315? False Is -1841/2 smaller than -921? False Which is smaller: 50 or 30? 30 Which is bigger: -1/206 or 0? 0 Which is smaller: 1399 or 1397? 1397 Is -1 bigger than -23391? True Is -492 less than or equal to -491? True Which is greater: -0.056 or 15? 15 Which is greater: -9 or -130/17? -130/17 Which is greater: 16/903 or -1? 16/903 Which is greater: 0 or -3/2432? 0 Which is smaller: 8169 or 8168? 8168 Which is smaller: -314 or -940/3? -314 Which is smaller: -4 or 34/11? -4 Which is bigger: 2/71 or -1? 2/71 Is 86 at most as big as 92? True Is 1 greater than 2/64723? True Is 10/23 less than or equal to -1? False Is 1.376 less than 0? False Which is greater: -11643 or -11642? -11642 Is 1 < 60/221? False Do -0.3 and 1465 have the same value? False Is -3 smaller than -178/45? False Is 113/2 at least as big as 58? False Which is smaller: 602 or -1/2? -1/2 Which is smaller: -1541 or -0.1? -1541 Which is smaller: -24 or -39? -39 Is -312 >= -312? True Which is greater: 2382 or 2381? 2382
{ "pile_set_name": "DM Mathematics" }
ve x*q + 0 = c + 3, -2*c = 5*q + 6 for q. 0 Let s(i) = i**3 + 8*i**2 - 3*i - 19. Let v be s(-8). Solve -z + 5*n = -v + 20, 5*n - 35 = 5*z for z. -5 Suppose -4*a + 28 = 4*w, 6 = -3*a - 2*w + 27. Solve 0 = 3*t - 4*d + 16, -3*d = -t + a - 19 for t. 0 Let q(p) = -p**3 - 4*p**2 - 3*p - 6. Let x be q(-4). Suppose -x*u + 15 = -15. Solve 5*i = -2*d + u - 21, 2*d + i = 0 for d. 2 Suppose 5*z - 11 = 3*k + 3*z, -2*k - 2 = -4*z. Let r = k + 8. Let w(a) = -a**2 + 10*a - 2. Let i be w(6). Solve 0 = 2*j + 3*b + b - i, 5*j + r*b - 27 = 0 for j. 3 Let m(o) = -3*o**3 - o**2. Let p be m(-1). Suppose 0 = p*j + 2*j. Suppose s + l + 3 = -0, j = -2*s + l + 9. Solve 3*b + 4 = 4*h, 0*b + s*h + 12 = -2*b for b. -4 Let h = -3 + 6. Suppose h*r + 3 = -2*f + 4*r, 3*f - 4*r = -12. Suppose -9 = -3*n - f*n. Solve -n*b = u + 8, 6 = -2*u - 3*b - 4 for u. -2 Suppose -2 + 8 = t. Let u = -6 + t. Solve 0 = 3*h - 3 - u, 0 = -c - 2*h for c. -2 Let o = 151 - 146. Solve -4*u = -n + 15, -3*u + 0*n + 4*n + o = 0 for u. -5 Let q(k) = k. Let i be q(0). Solve 4*u + 16 = -4*z - i*z, -2*z - 8 = 5*u for z. -4 Suppose 3*i - 7 = 2. Let a = 5 - i. Solve -h + q + 21 = -3*q, -7 = 3*h + a*q for h. 1 Let s(v) = v**3 - v**2 + 9. Let h be s(0). Solve 2*g = -5*b + 6, 5*g - 1 + h = -b for b. 2 Let k be 6/2 - (3 - (4 + -1)). Solve -z = -0*z - k*p + 2, p + 21 = -4*z for z. -5 Suppose 5*v - 22 = -2. Let i(y) = -y**2 + 8*y - 4. Let b be i(7). Solve -k - 6 = -4*p, -1 = -3*p + v*k - b for p. 2 Let x = 39 - 23. Suppose 4*t - 4 = 2*t + j, -5*t + 4*j + x = 0. Solve -2*p = 4, -2*f - 3*p + p - 8 = t for f. -2 Let m(w) = 14*w - 10. Let z be m(1). Solve 3*p - 4 = 8, 4*p = -z*a for a. -4 Let s = 0 + 0. Suppose -4*l + 20 = -s*l. Solve -l*m - 5 = -2*m + j, 4*m = -5*j + 8 for m. -3 Let l = -44 - -50. Suppose 4*b - 28 = -z - 3, 86 = 4*z + 2*b. Let s be (-46)/(-14) - 6/z. Solve -2*x - 4 = j - 2*j, j = -s*x - l for x. -2 Let f be 108/12*4/18. Solve -w - 12 = -v + w, 0 = -f*w - 8 for v. 4 Suppose 2*v - 4 = v. Suppose 0 = -v*y - 5*z - 10, -4*y - 2 = -0*y + z. Let m be 238/6 - (-1)/3. Solve y = -4*d - a + 17, 0 = 5*d - 2*a + 7*a - m for d. 3 Suppose -33 = -4*g + a + 91, -5*g + 3*a + 162 = 0. Solve 18 = 6*h - 2*h + b, 5*h + 5*b - g = 0 for h. 4 Suppose 2*b + 4 = 6*b. Suppose -7 = -3*h - b. Let a = h - -3. Solve 2*s - p + 3 = 0, -a*p = -3*p - 10 for s. 1 Suppose 0 = 5*o - 26 + 1. Suppose 2*a + 5*g - 7 + 18 = 0, -5 = 5*a + o*g. Solve -2*c - 1 = v - a*v, 0 = -4*c for v. 1 Let u(s) = -s**2 - 5*s + 1. Let o be u(-5). Let w be 1 + 0 + o + -1. Let j be w - -1 - (-5 - 2). Solve -4*r + 3*t = -j*r, -r + 22 = 5*t for r. -3 Let d be ((-20)/15)/(2/(-3)). Suppose -4*y + 4*o + 7 = -17, -d*y = -o - 16. Solve -c - c = -2*a + 6, -3*c = -4*a + y for a. 1 Let m(b) = b**2 - b. Let s = 1 + 1. Let c = s + 0. Let g be m(c). Solve 2*h = -g*h + 4, -2*z - 10 = -4*h for z. -3 Let z = -17 - -19. Solve r + 0 = -f - 3, 3*f + 5 = -z*r for r. -4 Suppose -t - 13 = -26. Solve -2*i + 5 = c, 5*c - t = 2*i - 0 for c. 3 Suppose -5 = 5*t - d, -5*t - 7 + 2 = -2*d. Let l(w) = -3*w**3 - 1. Let g be l(t). Solve 4*n + j - 3 = -2, 0 = n + j + g for n. 1 Let b(p) = p**3 + 7*p**2 + 2. Let q be b(-7). Suppose q*y = -2*y + 84. Solve 20 = -a - 5*c, -2*a + y = -c + 6 for a. 5 Let v = 21 + -18. Solve -l - 2*c = -0 - 6, 3*l - 6 = -v*c for l. -2 Let j(b) = -b**3 + b**2 - b - 10. Let q be j(0). Let z = 10 + q. Solve -2*y + 4*n + 8 + 6 = z, 0 = -4*y + 4*n + 16 for y. 1 Suppose 0 = 5*u + 10, 4 = s + s + 2*u. Solve -4*i = -5*g - 2, 3*i + s*g = 7*i - 4 for i. 3 Suppose -4*y - 3 = -5*y. Let t = 7 - 4. Solve -3*z = t*a - 18, -z + 10 = y*a - 0*a for a. 2 Let m be (0 - -1)/(1/7). Solve 0 = 3*z - m*z - 4*s, -20 = 5*z + s for z. -5 Let s(f) = -2*f**2 - f. Let r(o) = o**3 + 3*o**2. Let u be r(-3). Let v be s(u). Solve v = 5*x + 25, q - x + 10 = -2*q for q. -5 Let f(g) = g - 1. Let h be f(5). Suppose 2*o + 8 = h*d - o, 2*d + 5*o - 30 = 0. Let b = 7 - d. Solve -b*p - 2 = -3*p, 0 = 2*u + 2*p - 6 for u. 1 Suppose -4*y + 8 = -4*r, -2*y + 1 = -4*r - 3. Solve -y*d = 3*o - 4*d - 1, -5*d - 34 = 3*o for o. -3 Suppose 15 = -3*a, x + 3*a = -9 - 4. Solve 2*h - 6*h - 5*b = 8, -x*h + 4*b = 4 for h. -2 Let d be (2/1)/((-3)/(-9)). Suppose 3*k - 2*k - 2 = 0. Solve 2*s + d = -k*v, s + 2*v = 2*s for s. -2 Suppose 19 = 5*h + v, 0 = -4*h - 2*v + v + 15. Let o be h - 3/(-3)*1. Solve -4*q = -5*l + 21, -o*q + 2 = 2*l - 13 for q. 1 Let g(w) be the first derivative of w**2/2 - 5*w - 5. Let n be g(7). Solve -3*o + 12 = -n*d, -o = -4*d - d - 4 for d. 0 Suppose 2*i - 5*j = 32, i + 0*i + j - 2 = 0. Suppose -4 = -5*b + i. Let u = -4 - -6. Solve -b*v = 2*v - w + 5, -2*w = -u*v - 10 for v. 0 Let w be 24/(-12)*(-6)/4. Solve w*v + 10 = -4*u, 3*v - 18 = 2*u - 2*v for u. -4 Suppose 54 = -0*t + 9*t. Solve 0*x - g - 1 = -x, -2*x = 2*g - t for x. 2 Let l(r) = r. Let n be l(3). Suppose 5*o - 5*x + n*x = -38, 0 = o + x + 2. Let s = -3 - o. Solve -3*y + s*v = -30, 0*y - 5*v - 20 = y for y. 5 Suppose l = 5*a - 11, -4*a - 4*l = -5*l - 9. Solve -2*g = 0, -v + 2*v - a*g = 2 for v. 2 Suppose -5*p + 2*p - 2*s + 62 = 0, 4*p - 85 = -5*s. Suppose 4*l + m - p - 1 = 0, 2*l - m = 15. Solve -4*r + k - l*k = -19, 5*k = 3*r + 12 for r. 1 Let u = 4 - 3. Suppose 0 = -2*o - u + 9. Solve o*f - 4*j + 9*j = 19, -4*f = -5*j + 11 for f. 1 Suppose -684 = -5*r - 3*l, -5*r - 4*l + 485 + 197 = 0. Let d be r/33 - (-12)/(-66). Solve d*v = -n - 2*n - 5, n - 7 = 3*v for v. -2 Let n = 852 + -850. Let i be -1 + 2 - (-1 - 1). Solve -r + i*c = -4*r + 6, c = -3*r + n for r. 0 Suppose a - 4*a = -6. Solve u = 2*s - 10, -s + 5 = -u - a*u for u. 0 Suppose 7 = 2*a - k, k - 8 - 3 = -a. Let g be (a/(-9))/((-2)/9). Solve -5*p - 39 = g*f - 4, 4*p + 2*f = -26 for p. -4 Suppose 4*h - 1 = 3*b + 19, 0 = h - 4*b - 5. Solve o = 4, -2*p + 4*p = -h*o + 18 for p. -1 Let w be ((-8)/(-6))/((-8)/(-12)). Let k(b) = 5*b**2 + 0*b**3 - 3*b - 3 - 4*b + b**3. Let l be k(-6). Solve y = -l*n + 6*y + 5, w*n - 5*y = 0 for n. 5 Suppose 2*z + 5 + 3 = -5*u, 4 = -z. Let x be ((-1)/3)/((-2)/18). Suppose 0*l = -x*l. Solve u = 2*t + 6, l*k + 14 = -k - 5*t for k. 1 Suppose 0 = -4*d + 6*d - 6. Let i be (-6)/(-27) - 32/(-18). Let j be 1/i + 6/4. Solve -12 = -d*t, 3*t - 21 = j*c - 5*c for c. 3 Suppose 0 = 31*q - 34*q + 6. Solve -d + 2*u = -q*u + 6, 7 = -3*d + u for d. -2 Suppose 13*r = 8*r + 25. Solve -2*f - 5 = u, f + 20 = r*u + 2*f for u. 5 Let q = -6 - -12. Suppose -29 = -5*b + q. Solve -5*f + b = 4*s - 4, 5*f - 3 = -2*s for s. 4 Let w be (12/(-6))/(-1 - 1). Suppose 2*q - 19 = w. Solve -2*y + y = p, y - 4*p = -q for y. -2 Suppose -4*v - 1 = 5*f, -3*v = -3*f - 2*v - 4. Let b be (-3 - f)/(2/(-2)). Solve s + 3*s - 8 = b*l, -s + 7 = -3*l for s. 1 Let c(v) = -v - 2. Let j be c(-6). Solve 0 = -w + n - 0*n + 4, -3*w + j = 5*n for w. 3 Let o(w) = -w + 10. Let c be o(8). Suppose 0 = -5*n + 5*j + 15, c*n - 11 = n - 3*j. Solve s = a + 5, 2*s - a = 6*s - n for s. 2 Suppose -3 - 7 = -2*t, 0 = -j + 4*t. Solve 5*q = -j, 4*q + 20 = -2*g - 2 for g. -3 Let x = 10 + -6. Solve -x*n = -2*j - 2, -j + 5*n = -1 + 8 for j. 3 Let x = 25 - 25. Solve 3*j + 3*a + x*a = -9, 0 = -j - 2*a - 4 for j. -2 Let h(d) be the first derivative of 1/3*d**3 - 6*d + 1 - 9/2*d**2. Let j be h(10). Solve m + t + j*t - 2 = 0, 0 = -2*t + 2 for m. -3 Suppose 4*n - 4*u + 5 = u, 10 = 2*u. Let t be 12/n*20/(-6). Let a = t + 13. Solve -5*s = -3*w + 10, 2*w + 2*s + 13 = a*w for w. 5 Suppose -8 = -g + 3*q + 2*q, 4*q - 8 = -4*g. Solve 2*m = 4*b - 14, 0*m = 4*m - g*b + 23 for m. -5 Let a(c) = c**3 + 3*c**2 + c + 1. Let b be a(-2). Let x = 269 - 163. Suppose -40 + x = 3*h. Solve 0 = 4*t - b*j - 0*j + h, t + 2*j = 0 for t. -4 Let t be -3*1 + 0/(-2). Let u be (1 + (-8)/6)*-21. Let m = t + u. Solve l = 4*c - 19, 0 = -m*l - l - 5*c + 30 for l. 1 Let g(p) = -p**2 - 4*p - 1. Let r be g(-2). Suppose -r*k - 6 = -6*k. Solve 6 + 13 = k*n - 3*w, -3*n = -4*w - 27 for n. 5 Let o = 7 - -8. Suppose r - 4*r = -o. Solve -r*h - 21 = m, -7*m + 2*m - 5*h = 25 for m. -1 Let j = 17 + -12. Solve w - x = -3, -22 = -w - w - j*x for w. 1 Suppose 5*r - 63 = 3*t - 2*t, r - 21 = -4*t. Let y(h) = h**3 - 16*h**2 - 14*h - 31. Let d be y(17). Solve -f + r + 12 = 5*g, d = 4*g for f. 0 Suppose 6*l = 4*l. Solve l = -3*i - 5*d - 26, 3*i + 4*d - 7 + 29 = 0 for i. -2 Suppose -3*g = -2*j - 4*g + 64, -5
{ "pile_set_name": "DM Mathematics" }
2. Let c = n + -6. Let x(a) = a**2 + 5*a. Give x(c). -4 Let h(o) = -2*o**3 - 8*o + o**2 - 2 + 4*o + 2*o + 3*o**3. Give h(-2). -2 Let y(f) = -133*f - f**2 + 60*f - 4 + 66*f. Calculate y(-5). 6 Let o(b) be the third derivative of -b**7/1008 - b**6/720 + b**5/60 + b**2. Let z(m) be the third derivative of o(m). Let u = 2 - 4. What is z(u)? 9 Let j(h) be the third derivative of -h**6/30 + h**4/24 + h**2. Let z be j(-1). Let v(d) = d. What is v(z)? 3 Let z(g) = 3*g**3 - g**2 + 2*g - 1. Let k be z(1). Suppose 0 = -k*u - 1 + 13. Suppose -2*f + u + 2 = 0. Let a(w) = w**3 - 3*w**2 + w + 3. What is a(f)? 6 Suppose -4*v + 2*t + 16 = t, 2*v + 2*t - 8 = 0. Let k(b) = b - 3. Determine k(v). 1 Let r be 72/2*1/2. Suppose 0*b = 2*p + 2*b - r, -5*p + 4*b = -9. Suppose -s - 4*w + w - 8 = 0, -4*s - 4 = p*w. Let g(k) = k**3 - 4*k**2 + 4*k - 6. What is g(s)? 10 Let f(n) be the first derivative of n - 1. Let i(q) = -q**2 - 2*q + 8. Let g(j) = 5*f(j) - i(j). Suppose 3*k + k + 24 = 4*u, k - 6 = -5*u. Give g(k). 5 Let r be ((-4)/(-6))/((-9)/81). Let n(y) = -y**3 - 6*y**2 + 2*y + 9. What is n(r)? -3 Let q(y) = 13*y + 2 + 0*y - 4*y. Give q(-2). -16 Let n(v) = -5 + 3 + 2*v - 6*v**3 + 4. Let h(u) = 7*u**3 - 2*u - 3. Let c(k) = -5*h(k) - 6*n(k). Give c(2). 7 Let h(g) be the first derivative of g**2 + g - 1. Suppose 8*m = 4*m + 12. What is h(m)? 7 Suppose 4*b - 6 = -2*p, -4*b + 5*p - 4 = -3. Let d(r) = 2 + 5*r**2 - 9 + r - 5*r. Let k(j) = 11*j**2 - 9*j - 15. Let w(z) = -13*d(z) + 6*k(z). Determine w(b). 0 Let y(s) be the first derivative of -5/3*s**3 + 0*s + 1/2*s**2 - 3. Calculate y(-1). -6 Let f(j) be the first derivative of j**3/3 - 3*j**2/2 + 5*j + 4. Give f(4). 9 Let i(u) = -40*u**3 + 41*u**3 - 1 - 6*u**2 + 3*u**2. Let l be (3/(-2))/((-1)/2). Calculate i(l). -1 Suppose v = 6*v - 475. Let f(a) = -95*a + v*a - 7*a**2 + 1. Let j = 3 + -2. Determine f(j). -6 Let h(m) = -m**2 + m + 2. Let j(i) = 2*i + 1. Let b(u) = -u + 1. Let x(l) = 5*b(l) + j(l). Let c be x(4). Let f be ((-2)/4)/(1/c). What is h(f)? -4 Let t(v) = v**2 - 1. Suppose 0 = 4*a - 0*a + 40. Let c be (6/(-12))/(1/a). Let w = c - 3. Calculate t(w). 3 Let s(q) = -q**2 - 5*q. Let t(j) = -j**2. Let i(n) = -s(n) + 2*t(n). Give i(5). 0 Let j(q) = 19*q**3 + q**2 - 3*q + 2. Let x(w) = -18*w**3 - w**2 + 2*w - 1. Let h(s) = 2*j(s) + 3*x(s). Give h(1). -16 Let t(j) = -j**3 - 3*j**2 + 4. Let r be 2/(-4) + (-14)/(-4). Let a be 4/(-4)*1*r. What is t(a)? 4 Let p(k) be the second derivative of k**4/12 + 7*k**3/6 + 3*k**2 + 8*k. Determine p(-7). 6 Let k(w) = w**2 + 8*w + 4. Let r(z) = -z + 1. Let t be r(7). What is k(t)? -8 Let p(r) = -r**3 + 6*r**2 + 5*r + 8. Suppose -27 = -7*d + 2*d + 4*x, -5*d - 3*x = -41. Determine p(d). -6 Let y(j) = -2*j - 2*j + 3*j - 1 - 1. Calculate y(-7). 5 Let i(x) be the first derivative of -x**2 + 2*x - 3. Let r = 7 + -5. Suppose -r*a - 3*d - 14 = 0, -11 = 2*a + 5*d + 7. Determine i(a). 10 Suppose 0 = -5*n + 2*n + 6. Let q(k) = -7*k + 7*k + 6*k - 8 + k**n. Give q(-6). -8 Let r(a) = a**2 - a + 2. Let y(x) be the second derivative of x**4/12 + x**3/6 - x**2/2 - 6*x. Let o = 0 + -1. Let m(v) = o*r(v) + 2*y(v). Calculate m(-3). -4 Let j(h) = 4*h - 1. Let a be j(-2). Let c be 92/a + (-6)/(-27). Let z be 10*(16/c + 2). Let g(d) = d. Give g(z). 4 Let m(y) = 7*y**3 - y**2 + y + 1. Let u be m(-1). Let b(q) = -q - 10. What is b(u)? -2 Let q(m) be the third derivative of -m**4/24 - m**3/2 - 10*m**2. What is q(-4)? 1 Suppose 3*o - 24 = -5*q, o - q + 6*q - 18 = 0. Let f(k) = -2*k. Give f(o). -6 Let i(j) be the third derivative of 0*j + 0*j**3 + j**2 - 1/24*j**4 + 0. Suppose -3*a = 4*w + 11, -w + 0*w - 5 = 0. Give i(a). -3 Let x(g) = -g + 1. Let o be (-1)/3*(-36)/4. Suppose -2*u + 23 = 2*u + o*r, 0 = u + 4*r - 22. What is x(u)? -1 Suppose 0 = 6*j - 3*j - 3. Let c(o) = 0 + 1 + 6 + j - o. Give c(0). 8 Let n(c) = -c + 1. Let k = 4 - 5. Suppose -3*l - 4*u = 47, -3*l - 32 = -0*l + u. Let f be 3 + l + (2 - k). What is n(f)? 4 Let y(k) = k**2 + k - 6 + 2 + 0*k**2 + 10*k**3 - 9*k**3. Calculate y(-3). -25 Let x(a) be the second derivative of a**3/6 + 3*a**2/2 + 20*a. Calculate x(-5). -2 Let u be 35/5 + 0 + 0. Let s(k) = k**2 + u + 4*k + 2 - 3 - 3. Determine s(-4). 3 Let x(y) be the third derivative of -7/6*y**3 + y**2 + 0 - 1/120*y**6 - 1/10*y**5 + 0*y - 1/24*y**4. Give x(-6). -1 Let q(o) = -6*o**2 - 8*o + 2. Let h = 2 + 4. Let f(r) = 1 + 5*r + 7*r**2 + 4*r - 2. Let b(p) = h*q(p) + 5*f(p). Give b(-5). -3 Let s = -4 + 1. Let v(r) = 3*r**3 - 6*r**2 + 7*r + 3. Let q(b) = b**3 - b**2 + b + 1. Let i(t) = -4*q(t) + v(t). Calculate i(s). -1 Let q(h) be the first derivative of h**4/4 + 2*h**3 + 3. What is q(-6)? 0 Let m(h) = -5*h**2 - 9*h - 6. Let y(f) = -14*f**2 - 26*f - 17. Let v(a) = -11*m(a) + 4*y(a). Give v(-5). -2 Let w(u) be the second derivative of -u**4/12 + 5*u**3/6 - 3*u**2/2 - 13*u. Determine w(5). -3 Let y(j) = -j**2 - 3*j + 1. Let a(l) = l + 1. Let z be a(-5). Determine y(z). -3 Let w = 5 - 1. Let l(z) = 5 + z + 5 - w. What is l(-5)? 1 Let m = 28 - 24. Let n(a) be the third derivative of -a**4/24 - 2*a**2. Determine n(m). -4 Let r(q) be the second derivative of q**5/120 + q**4/12 + q**3/2 - 7*q. Let a(o) be the second derivative of r(o). Calculate a(-4). -2 Suppose -5*m = 2*a + 9, -4*m - 29 = -4*a - 5. Let z(g) = -g + 3. Give z(a). 0 Let m be (1/(-2))/(1/(-18)). Let n = 3 - m. Let k(h) = -h**2 - 4*h + 8. What is k(n)? -4 Suppose 8*l + 3 = 9*l. Suppose -d + 1 = x, 0 = 2*x + d - l - 1. Let b(n) be the third derivative of -n**4/12 + n**3/3 + n**2. What is b(x)? -4 Let x(c) = 3*c**2 + c - 1. Let k be 3*2*(-12 - -14). Let g = k + -14. What is x(g)? 9 Suppose 0*c + 16 = 4*c - 5*n, 4*c + 2*n = 16. Let x(z) = -2*z - 3*z - c + 4*z + 1. Give x(-3). 0 Let g(k) = k**2 - 4*k + 2. Let l(i) = -i**2 - 3*i + 21. Let c be l(-6). Give g(c). -1 Let i = -19 - -28. Let r(u) = -i - u + 10 + 6. Determine r(0). 7 Let p(v) = v - 3. Let x be 9/5 + (-2)/(-10). Calculate p(x). -1 Let n(t) = -2*t - 5. Let g(y) = 3*y + 6. Let k(x) = 6*g(x) + 7*n(x). Suppose 4*u = 8 - 4. What is k(u)? 5 Let v(w) = -w + 3. Let s be 448/35 + -5 - (-2)/10. What is v(s)? -5 Suppose -3*a - w + 6 = -0*w, 5*a + 4*w = 17. Let b(z) = -5*z + 6. Let c(i) = -i + 1. Let x(l) = a*b(l) - 6*c(l). Determine x(3). 3 Let l = -39/4 - -10. Let w(p) be the first derivative of -2/3*p**3 - l*p**4 + p**2 - p + 1. Determine w(-3). 2 Let m(j) be the second derivative of -3*j**5/4 + 5*j**3/6 - 11*j**2/2 - 3*j. Let w(a) = 3*a**3 - a + 2. Let f(v) = -2*m(v) - 11*w(v). Give f(-1). 2 Let l = 16 + -8. Suppose a + 13 = -3*y + 1, a - l = y. Let i(o) = -o**3 + o**2 + 3*o + 1. Determine i(a). -8 Let z be ((-2)/2)/(1/(-4)). Let q be -2 - 1 - (-3 + z). Let b = -3 - q. Let m(c) = c. Give m(b). 1 Let x(p) be the third derivative of 0*p + 1/24*p**4 + 0 - 4*p**2 - 1/6*p**3. Suppose 4*b + 5*u = -4, 3*b - 3*u + 3 = -2*u. Calculate x(b). -2 Let x(s) = -s**2 - 6*s - 4. Let h(l) = -3*l - 2*l + 1 - 3 + 6. Let j be h(2). What is x(j)? -4 Let b(n) = -2*n + 8*n - 3*n + 2. Calculate b(2). 8 Suppose -8 = -5*a + a. Let i(h) be the third derivative of -h**6/120 + h**5/60 + h**4/24 + h**3/3 + h**2. Calculate i(a). 0 Let v = -2 + -3. Let f = -5 - v. Let g(t) = 2*t**2 + 6*t - t**2 + 0*t**2 + f*t + 1. Determine g(-5). -4 Let t = 16 - -1. Let f = 8 - t. Let w be (-26)/(-6) + (-6)/f. Let r(i) = -i**3 + 5*i**2 - 3. Calculate r(w). -3 Let v(d) = d**3 - d + 6. Let c(j) = -j**2 + 6*j + 2. Let q be c(3). Suppose -2*l = b + q, -3*b = 2*l - l + 23. Let a be (-2)/(-7) + 2/b. Calculate v(a). 6 Let l(r) = r**2 + 7*r + 9. Let k(s) = 9*s + 2. Let b be k(-1). What is l(b)? 9 Let s(d) = -d**2 - 8*d - 5. Let q be s(-7). Suppose -z = q*z + 18. Let r(j) = -j**3 - 7*j**2 - 7*j - 1. Calculate r(z). 5 Let u(d) = -2*d + 14. Let f be u(6). Let i(p) = 2*p**2 + 5*p**2 - f*p**2 - 6*p**2 - 7 - 6*p. Calculate i(-6). -7 Let w(n) be the second derivative of -n**3/6 - 9*n**2/2 + 14*n. What is w(-5)? -4 Let a(u) = -27*u - 2*u**3 - 1 + 3*u**2 + u**3 + 32*u. What is a(4)? 3 Let u(p) be the second derivative of -5/12*p**4 + 0 + 3*p + 1/20*p**5 - 5/6*p**3 + 5/2*p**2. Calculate u(6). 11 Let d(j) be the third derivative of 0 - 1/2*j**3 - 4*j**2 + 1/120*j**6 - 1/30*j**5 + 0*j - 1/24*j**4. Calculate d(3). 3 Suppose 0 = 2*z - 5*i + i + 10, 2 = 2*z + 2*i. Let t(
{ "pile_set_name": "DM Mathematics" }
10*o**3 - 205*o + 7 + 68*o + 73*o to b*o + u*o**2 + n + p*o**3 and give p. -10 Express -636*l + 6 - 21*l**2 - 116*l + 761*l in the form g + r*l**2 + a*l and give a. 9 Express (-121*l - 196*l - 33*l)*(-15*l**3 - 15*l**2 + 15*l**2) as p + r*l + d*l**4 + x*l**3 + s*l**2 and give d. 5250 Rearrange 29*q**2 + 26 + 5*q - 38 - 2*q + 18 + 2*q**3 + 19*q**2 to f + d*q**2 + l*q + z*q**3 and give f. 6 Rearrange -77*f**2 + 60*f**2 - 4*f - 88*f**2 - 140*f**2 - 23*f**2 to the form n*f**2 + u*f + p and give u. -4 Rearrange -1803*v**2 + 362*v**2 - 416*v**2 - 948*v**2 + 207*v**2 to the form h + g*v + y*v**2 and give y. -2598 Rearrange -154 - 73 + 224 - 3*q**3 + 4*q**2 - 186*q to b + f*q**2 + m*q**3 + n*q and give m. -3 Rearrange (134 - 69 - 73)*(-1 - 1 + 0)*(2 - 6 + 3)*(-10 - 2 - 8 - g) to l + z*g and give z. 16 Express -102*m - 21 + m**2 + 495*m - 151*m in the form d + y*m + q*m**2 and give d. -21 Rearrange o**4 - 8*o**2 - 3 + 3*o + 5*o + 15*o**2 - 137*o**3 + 138*o**3 - 9*o**2 to q*o + f + s*o**4 + i*o**2 + t*o**3 and give i. -2 Express 6 - 4 + 2658*p + 1791*p - 2 as q + c*p and give c. 4449 Express -12859*p + 5498*p + 3 + 6135*p in the form i*p + w and give w. 3 Rearrange 0*w**3 + 1017*w - 7*w**3 - 762*w - 569*w to y*w**3 + g + p*w**2 + a*w and give y. -7 Rearrange (v**2 - 13*v**2 - 257*v**2)*((2 - 2 - 2)*(-5 - 2 + 5) + 2 - 2 - 1 + 2 - 3 + 0) to the form l*v**2 + a*v + h and give l. -538 Express 12 + 14*u**3 + 19 - 60 + 16 + 4*u - 10*u**2 + 11 as j*u**2 + y + n*u + c*u**3 and give n. 4 Express -19185*o + 145 - 47 - 43 - 55 in the form m + p*o and give p. -19185 Express 44*u**2 - 112*u**2 + 68*u**2 - 2 + 5592*u**3 + 5 as q*u**3 + t + h*u + v*u**2 and give t. 3 Rearrange (0 + 7 - 3)*(88 - 130*g - 88) + 1 + 2*g - 1 + 0*g - 5*g + 2*g + (-5 + 5 + 2)*(-2*g + 2*g - g) to t*g + k and give t. -523 Express 467*v - 1439*v + 467*v + 506*v + 344 in the form r + d*v and give r. 344 Express (q**3 + 3*q**3 + q**2 - 2*q**3)*(0*q - 2*q + q)*(9 - 15 - 20) + (2 - 3*q - 2)*(q**3 - 3*q + 3*q) as h*q + w + a*q**3 + v*q**4 + d*q**2 and give a. 26 Express 4 - 3 - 3 - c + 4905*c**3 - 5832*c**3 in the form w*c**3 + f*c + g*c**2 + b and give b. -2 Express -42*b**2 + 43093*b - 43093*b + (57 - 14*b - 57)*(-b - b + 0*b) in the form u + f*b**2 + w*b and give u. 0 Express 5*w - 6*w**2 - 14*w + 6*w - 6*w**2 - 5*w**2 - 55 as t + j*w + l*w**2 and give l. -17 Express (3*z**2 + 3*z**2 + 0*z**2)*(25*z - 31*z + 23*z)*(-1 - 4 + 4 + (2 - 4 + 4)*(1 + 0 + 0))*(-2 - 9 + 4) as t + n*z**3 + y*z**2 + d*z and give n. -714 Rearrange (-11 - 192 - 6 + (-2 - 1 + 1)*(-1 - 2 + 1) + 45 - 16 - 19)*(z**2 + z**2 - 4*z**2) to the form w*z + g + v*z**2 and give v. 390 Rearrange (p**2 + p**2 + p**2)*(-61*p**2 - 30*p**2 - 89*p**2) - p**4 + 3*p**4 + 2*p**4 to z*p**4 + w*p**3 + i + u*p + o*p**2 and give z. -536 Rearrange (-4*r + 2*r + 7*r)*(-6 + 2 - 2)*(6 + 0 - 2) to the form y + g*r and give g. -120 Express 2097*c - 4192*c - 72 + 2110*c in the form a*c + r and give a. 15 Express 1807*x**2 + 1977*x**2 - 286*x**2 in the form o*x**2 + l + t*x and give o. 3498 Rearrange -11095*y + 5542*y + 18*y**2 + 5538*y to the form i*y**2 + n*y + s and give i. 18 Express 2*s**4 + 17*s + 14*s + 4*s + 27*s**2 + 2 - 33*s + s**3 as f*s**4 + q*s + i + a*s**2 + d*s**3 and give i. 2 Rearrange -h**2 + 9*h**2 + 20*h**3 - 4 - 4*h**2 - 5*h**2 to the form c*h + f*h**2 + x*h**3 + s and give s. -4 Rearrange 154*o**2 - 1050*o**2 + 445*o**2 to the form v + c*o + y*o**2 and give y. -451 Express (c - c - 4*c**2)*(-195*c + 5 + 166*c - 99*c) in the form d*c + t*c**2 + n + f*c**3 and give f. 512 Express (-3 - 1 + 2)*(2*u - 3*u + 3*u) + 0*u + 2*u + 0*u - 145*u - 76*u - 316*u as m + n*u and give n. -539 Rearrange (123*h - 3*h + 28*h)*(-29*h - 39*h + 20*h) to z + b*h + c*h**2 and give c. -7104 Rearrange 67882 - 203650 + 67886 + 67889 - 1872*h to i*h + u and give i. -1872 Express (0 - 3 + 1)*(-2 + 2*j**3 + 2) + 3*j - 3*j - 2*j**3 + (-5*j + 5*j - 2*j**2)*(-5045117 + 2686*j + 5045117) as c*j**2 + q*j + f + g*j**3 and give g. -5378 Express -14782*j + 28995*j - 16113*j + 0 + 0 in the form f*j + m and give f. -1900 Rearrange -181*q - 1050*q - 567*q - 77*q to a + n*q and give n. -1875 Express 3*z + 2*z - 4*z + (-3 + 2 + 3)*(-2*z + 2 - 2) + 278 - 160831*z + 80399*z + 80418*z in the form w*z + o and give w. -17 Rearrange (42082 + 11751 + 2501)*(0*a - a - a) to the form c*a + t and give c. -112668 Express -23*t + 10*t - t**4 - 45 + 11*t + 15*t**2 + t**3 - t**4 as r*t + a*t**4 + w*t**3 + k + m*t**2 and give a. -2 Rearrange (-10 - 3 - 9)*(-7 + 7 - 15*c)*(-15*c**3 - 23 + 23) to t + d*c**4 + s*c + i*c**3 + j*c**2 and give d. -4950 Express 2*s**4 + 54176*s**2 + 54177*s**2 - s - s**3 + 362 - 108353*s**2 - 118 as r*s**4 + g*s**2 + m*s + k*s**3 + l and give l. 244 Express -u - 89*u**2 - 51*u**2 + 197*u**2 - 13 - 64*u**2 in the form v*u**2 + n*u + z and give v. -7 Express -50794 - 4*v**2 - 356*v**3 + 50794 - 3*v**4 as f*v**3 + z + h*v**2 + g*v + y*v**4 and give f. -356 Express 353 - 1720*r - 353 - 70*r as m*r + t and give m. -1790 Express -2*v**2 - 15*v**3 + 9 - 27*v**3 + 13*v + 64*v**3 - 21*v**3 + 12*v**4 - 4*v as k*v**2 + w*v**4 + p*v**3 + o*v + s and give p. 1 Rearrange -4255*p**2 - 1971*p**2 + 1925*p**2 to r*p + n + x*p**2 and give x. -4301 Rearrange 5 - 8 - 9*t + 3*t - 3*t + 4*t + 2*t + (-2 + 0 + 1)*(0*t + 2*t - 3*t) + (-149*t - 139*t + 102*t)*(-1 + 2 - 2) to the form z*t + i and give i. -3 Rearrange (-149129 + 149129 + 1227*n**2)*((-3 + 3 - 2*n)*(n - 2*n + 2*n) - n**2 + n**2 + 3*n**2) to the form a + b*n**4 + i*n**2 + k*n**3 + t*n and give b. 1227 Express 114*y**2 + 10*y - 83*y**2 + 6*y + 61*y**2 as v + m*y + z*y**2 and give z. 92 Rearrange 239*j**2 - 592*j**2 - 224*j**2 - 2747*j**2 - 1400*j**2 to z*j**2 + o*j + m and give z. -4724 Express 3 + 7*m**2 - m + 895727*m**4 + 11*m**2 - 895724*m**4 in the form f*m + g*m**3 + h*m**4 + i*m**2 + u and give u. 3 Express (9 - 9 + t)*(-1517*t + 527*t - 387*t) as q*t + g + a*t**2 and give a. -1377 Rearrange (-8 - 1696 + c - 1578)*((1 - 2 + 0)*(-4 + 1 + 1) + 4 + 0 - 1) to the form o*c + w and give o. 5 Rearrange (-3 + 1 - 1)*(-41*x - 24*x - 5*x) + 2*x - 5 + 3 - x to a + r*x and give r. 211 Express 1 + 6 + 120*o**3 + 2*o**2 - 19*o**3 - 5 + 2*o**2 as t + u*o**2 + v*o**3 + x*o and give v. 101 Express 6*u**2 + 6*u**2 - 9*u**2 + (1307*u - 264*u + 601*u)*(0*u + 4*u + u) in the form y + t*u**2 + s*u and give t. 8223 Express -v + 39083*v**4 - 9*v**3 - 39077*v**4 + 9*v + 3 in the form i*v**3 + b*v + k*v**2 + j + z*v**4 and give j. 3 Express (-2*c**3 + 0*c**3 + c**3)*(4 - 1 - 2) + 28*c**2 - 59*c**2 + 9233*c**3 - 8877*c**3 in the form y*c + o*c**3 + f + a*c**2 and give o. 355 Express -288*s - 1121 - s**2 + 3*s**2 + 204*s + 85*s in the form f*s**2 + u*s + a and give a. -1121 Express (-2 - 5 + 2)*(255*b + 14405 - 14405) + (-b + 2*b + b)*(-4 - 1 + 3) + 3*b - 4*b - b as k*b + n and give k. -1281 Rearrange -t - 3*t + 8*t + (-19 - 27 - 12)*((-t + 4*t - 4*t)*(2 - 2 - 1) - 2*t + 4*t - t + t - 14*t + t - 1 - 2*t - 1 + 1) to s + f*t and give s. 58 Express -26*i - 24*i - 27*i + 76*i - 921*i**2 as r*i + a + h*i**2 and give r. -1 Express (1 + 3 + 2)*(5*p + 4*p - 2*p + (p - 4*p + 2*p)*(-4 + 1 + 1) + 4*p - 6*p + 0*p) in the form r*p + u and give r. 42 Express 2144 + 16*r - 1542 - 14*r in the form l*r + s and give s. 602 Rearrange 172*r + 2*r**2 + 140*r - 224*r + 10 + 301*r to o*r**2 + t*r + k and give k. 10 Rearrange 75*z**3 - 2744*z - z**2 + 2744*z - 3 to the form o*z**2 + p*z + c + s*z**3 and give c. -3 Express (1 + 3 + 1)*(2535*t - 2536*t + 1427 - 44)*(3*t - 5*t + 12*t) as i*t + w*t**2 + d and give i. 69150 Express 854*g + 59*g + 646*g - 236*g as u + z*g and give u. 0 Express -2*i**4 - 2*i**3 - 11 + i + 5*i**2 + 2*i + 18*i**3 - 23*i**3 as s*i**3 + n*i**4 + h + r*i**2 + c*i and give n. -2 Rearrange (8*c + 57 - 57)*(-16 - 3 + 3)*(3 - 3 + 3)*(36 - 39 + 30) to d + h*c and give d. 0 Rearrange 5*d - 3*d + 0*d + (2420 - 5686 + 5677)*(2*d + d - 2*d)*(-1 - 4 + 2) to i + q*d and give q. -7231 Express (-9600*q + 9558*q - 2 + 5)*(9*q + 5*q - 4*q) in the form b*q + i*q**2 + s and give b. 30 Rearrange (-4*l + 2*l + 3*l)*((-4425*l - 1488*l + 1643*l)*(-2 - 1 + 5) - 5*l + 5*l - l) to the form h*l**2 + k + p*l and give h. -8541 Express (-i**2 - 3*i**2 + 2*i**2)*(0 - 2*i + 0)*
{ "pile_set_name": "DM Mathematics" }
l*p wrt d. -12*l*p + 7344*l - 36*p What is the third derivative of -21515*m**6 - 3596*m**2 - 2*m + 2 wrt m? -2581800*m**3 Find the second derivative of -10291*i**4 - 3*i**3 + 2*i - 11721. -123492*i**2 - 18*i Find the second derivative of -29*g**4 + 3*g**3 - 11*g**2 - 81262*g. -348*g**2 + 18*g - 22 What is the first derivative of 135*b*n*z**2 + 3*b + 76*n*z**3 + 10*n*z - 4*z**3 + 771*z wrt n? 135*b*z**2 + 76*z**3 + 10*z What is the third derivative of 4*g*q**3 + 10*g*q**2 - 2*g*q - 9276*g - 157103*q**3 - 2 wrt q? 24*g - 942618 Differentiate 27788*t + 7445 wrt t. 27788 Differentiate 3*v**4 - 4449*v**2 - 6279. 12*v**3 - 8898*v Find the first derivative of q**2*r + 97*q**2 + 1129*q*r - 2*q - 3143070*r wrt q. 2*q*r + 194*q + 1129*r - 2 What is the second derivative of 518719*q**5 + 1205891*q? 10374380*q**3 Differentiate 18980*d**2 - 2*d*u**3 - 2*d - 10*u**3 + 1140*u**2 with respect to d. 37960*d - 2*u**3 - 2 Find the third derivative of -13684*m**6 - 2*m**3 + 4183*m**2 + 11. -1642080*m**3 - 12 What is the second derivative of -57192*r**3 + 11802*r wrt r? -343152*r What is the second derivative of 417*l**4 + 14*l**3 - 5*l**2 - 1445*l - 47? 5004*l**2 + 84*l - 10 Find the second derivative of -f**5 - 47039*f**2 - 12*f + 4555. -20*f**3 - 94078 What is the second derivative of 7512*r**3 + r**2 + 4*r - 58663? 45072*r + 2 Find the third derivative of -16503*b**3*c**3 + 28*b**3 - b**2*c**3 - 2*b*c**3 - 3500*b*c - 5*c**3 wrt b. -99018*c**3 + 168 Find the second derivative of 705956*u**4 + 3*u + 54319. 8471472*u**2 What is the third derivative of -1748*d**2*k*n**3 + 3215*d**2*k*n**2 + 2*d**2*k*n + 20*k*n**3 - n**3 - 6 wrt n? -10488*d**2*k + 120*k - 6 Find the second derivative of 62229*c**2*v + c**2 + 2*c*v - 2*c + 166*v + 9 wrt c. 124458*v + 2 What is the third derivative of 53271*r**6 - r**3 - 72726*r**2 wrt r? 6392520*r**3 - 6 Find the second derivative of 46481*m**2 + 361*m - 2 wrt m. 92962 Find the third derivative of 42949*s**6 - s**5 + 2*s**2 + 290. 5153880*s**3 - 60*s**2 Differentiate 1240*l*p**2 - 19*l*p + 391*l - p**2 - 4*p + 1005 with respect to p. 2480*l*p - 19*l - 2*p - 4 What is the second derivative of -14*g**3*u**2 + 1209*g**3 + 4*g**2 - 127*g*u**2 - 6308*u**2 wrt g? -84*g*u**2 + 7254*g + 8 Differentiate 2*k*p**3 + 39572*k + 11*p**3 + p**2 + 36*p with respect to p. 6*k*p**2 + 33*p**2 + 2*p + 36 What is the third derivative of 1008341*g**3 + 56*g**2 - 4870*g wrt g? 6050046 What is the first derivative of -46827*g*m - 47*g - m**3 + 3247 wrt m? -46827*g - 3*m**2 Find the third derivative of -5*t**4*v - 4*t**4 - 16*t**3*v - 173*t**3 - 4*t**2 - 63292*v wrt t. -120*t*v - 96*t - 96*v - 1038 Differentiate -245909*d**3 + 993816 with respect to d. -737727*d**2 Find the first derivative of c*q*w + 604*c*q - 44*c*w**2 + 22*c*w - c + 9*q*w**2 + 2*w**2 wrt q. c*w + 604*c + 9*w**2 Find the first derivative of s**2*v**2 - 7152*s**2 + 5*s*v**2 - 27784*v**2 + 2*v wrt s. 2*s*v**2 - 14304*s + 5*v**2 What is the third derivative of -24*x**5 + 329*x**4 - 2*x**3 + 7*x**2 + 6*x - 464? -1440*x**2 + 7896*x - 12 What is the third derivative of 2213501*y**3*z**3 - 8*y**3*z - 17*z**2 - 279*z wrt z? 13281006*y**3 Differentiate 55*j**2*q - 7*j**2 - 65*j*q**3 - 2*j*q - 2*q**3 - 119*q**2 + 19 wrt j. 110*j*q - 14*j - 65*q**3 - 2*q Find the third derivative of 11*k**5 - k**4 - 1900*k**3 - 4*k**2 - 33*k + 214 wrt k. 660*k**2 - 24*k - 11400 What is the second derivative of 7*r*t**3 - 2*r*t + 40*r - 30611*t**3 - 2*t + 72 wrt t? 42*r*t - 183666*t What is the second derivative of 948575*a**2 + 826424*a? 1897150 What is the second derivative of -1299745*d**2 + d - 417744 wrt d? -2599490 What is the third derivative of -23917*l**4 - 13*l**3 - 81*l**2 + 292*l + 4 wrt l? -574008*l - 78 Find the third derivative of 144859*p**6 - 6*p**2 - 7690*p - 2 wrt p. 17383080*p**3 Find the first derivative of -807007*b**3 - 1712397. -2421021*b**2 Find the first derivative of -3*l**2 + 2298*l + 8654 wrt l. -6*l + 2298 What is the derivative of -233132*g**4 + 30938? -932528*g**3 Find the third derivative of 74*b**4 + 258*b**3 - 79900*b**2. 1776*b + 1548 What is the third derivative of o*s**3*z + 46538*o*s**3 - 2*o*s**2*z + 61*o + s**3 + 308*s**2*z wrt s? 6*o*z + 279228*o + 6 Find the third derivative of 3*g**4 - 217330*g**3 + 8*g**2 + 833*g + 22 wrt g. 72*g - 1303980 What is the third derivative of -2*z**5 - 3951*z**4 - z**3 + 96644*z**2? -120*z**2 - 94824*z - 6 Find the first derivative of 3222550*q - 1613127 wrt q. 3222550 Find the third derivative of 1563*b**5 - 7*b**3 - 159*b**2 - 270 wrt b. 93780*b**2 - 42 Find the second derivative of 14*b**2*f**2 + 542*b**2 - b*f**2 + 19881*b wrt b. 28*f**2 + 1084 Find the second derivative of -227692*o**5 + 373213*o. -4553840*o**3 Find the third derivative of -3974*a**3*l**2 - 6*a**3 - 258*a**2*l**2 + 35*a**2*l - 2*a*l wrt a. -23844*l**2 - 36 Find the second derivative of 4077635*n**4 + n**3 + 4156739*n. 48931620*n**2 + 6*n Find the second derivative of -13475*y**4 - 166*y + 46 wrt y. -161700*y**2 Find the first derivative of 2*m**3*q + 2*m**3 + m**2*q - 6977*m**2 + 15886*m*q - 3 wrt q. 2*m**3 + m**2 + 15886*m What is the third derivative of -163*j**6 + 2*j**4 + 4968*j**3 + 2457724*j**2 - 2*j? -19560*j**3 + 48*j + 29808 Find the third derivative of -329*c**3*p + 34*c**3 - 151963*c**2 + p wrt c. -1974*p + 204 What is the second derivative of -54804*u**5 - 27434*u wrt u? -1096080*u**3 Differentiate -45*k*t**2*u - 365*k*t*u**3 - 2*k*u - 2*t**2*u**3 - t**2*u - 642*t + u**3 wrt k. -45*t**2*u - 365*t*u**3 - 2*u What is the second derivative of -158275*r**3*y**3 + 3*r**3*y**2 - 56*r*y**3 + 3*r*y + 32*y**2 + 2 wrt r? -949650*r*y**3 + 18*r*y**2 Differentiate 383505*f**3*p - 300947*f**3 with respect to p. 383505*f**3 Find the second derivative of i*r**2*w**3 + i*r*w - 3*i*w**2 + r**3 + 939*r**2*w**3 + 7850*r*w**3 - r wrt r. 2*i*w**3 + 6*r + 1878*w**3 Find the first derivative of -4*a**2 - 48*a - 37127 wrt a. -8*a - 48 What is the first derivative of -55374*b*f**3*l + 2*b*f*l**2 - 2*b*f - 2*f**3 - 1223*f**2 + l**2 wrt l? -55374*b*f**3 + 4*b*f*l + 2*l Find the second derivative of 3*n*p**3*t**2 - 2*n*p**3*t - 7*n*p**3 - 10925*n*p**2*t**2 - 2*n*p**2*t + n*t - 24*p*t wrt t. 6*n*p**3 - 21850*n*p**2 Differentiate -2*k**2*l**2 - 3*k**2*m + 481*l**2*m - 4*l*m + 26105 wrt l. -4*k**2*l + 962*l*m - 4*m What is the third derivative of -146*q**2*t**3 + 1397*q**2*t**2 + 108*q**2*t + 184*q*t**6 + 2*t**2 wrt t? -876*q**2 + 22080*q*t**3 Find the third derivative of -755*u**2*x**3 + 3*u**2 + 34*u*x**3 - 3799*x**2 wrt x. -4530*u**2 + 204*u What is the second derivative of -2556532*k**2 - 2475164*k? -5113064 Find the second derivative of 119*i**4*j - 1496*i**3*j + 3*i*j + 2*i - 40482 wrt i. 1428*i**2*j - 8976*i*j Find the third derivative of -235421*a**3 - 57*a**2 + 3*a + 153. -1412526 Find the third derivative of 728*l**5 - 38*l**4 + 6565*l**2 + 13 wrt l. 43680*l**2 - 912*l Differentiate x**2*y - x**2 + 210*x*y + 18*x + 363916*y - 1 with respect to x. 2*x*y - 2*x + 210*y + 18 Find the third derivative of -564*v**5 - v**4 - 16*v**3 + v**2 + 4005*v + 2 wrt v. -33840*v**2 - 24*v - 96 Find the third derivative of 66648*i**4 - 33*i**2 - 4*i + 100. 1599552*i Find the first derivative of -213833*p**2 - 2*p + 1079168. -427666*p - 2 Find the second derivative of 228556*n**3 + 1531944*n. 1371336*n Differentiate -41916*j**3*z**2 - 107586*j**3 + j*z**3 with respect to z. -83832*j**3*z + 3*j*z**2 What is the first derivative of -2002759*r**3 - 1953172 wrt r? -6008277*r**2 Find the second derivative of 799314*w**2 - 5*w - 114247. 1598628 Find the first derivative of 4720*h**3*i**2 + h**3*i + 65*h**3 + 2*h**2*i**2 - 2*h + 6 wrt i. 9440*h**3*i + h**3 + 4*h**2*i Differentiate -10*c*k**3 - 2*c*k**2 + 18*c*k + 253*c + k**3 - 270*k - 46 with respect to c. -10*k**3 - 2*k**2 + 18*k + 253 Find the second derivative of -5*r**3*z**2 + 4385*r**3 + 2*r**2*z**2 + 32*r**2*z + r*z**2 - 182*z**2 - z wrt z. -10*r**3 + 4*r**2 + 2*r - 364 Find the third derivative of 4731*j**5 + 5*j**3 - 111*j**2 + 381 wrt j. 283860*j**2 + 30 Find the second derivative of -18*v**3*x**2 + 191*v**3 + 2*v**2 + 32*v*x**2 - 521*x wrt v. -108*v*x**2 + 1146*v + 4 Find the second derivative of 25574*b**4 - b**3 - b**2 + b + 154256 wrt b. 3
{ "pile_set_name": "DM Mathematics" }
-0.3, -2 in increasing order. -1800, -2, -0.3, 2/115, 1/5, 3 Sort 9.24, -0.1, -1/17 in descending order. 9.24, -1/17, -0.1 Sort -3, -2, 4, -1, 54 in descending order. 54, 4, -1, -2, -3 Sort 0, -7, 4, 3, 138 in decreasing order. 138, 4, 3, 0, -7 Put 1315, -5, 1, -3 in decreasing order. 1315, 1, -3, -5 Sort -5029, 37, -2 in descending order. 37, -2, -5029 Sort 4, 27, -88, -149. -149, -88, 4, 27 Put 26, 155/6, -1/8 in ascending order. -1/8, 155/6, 26 Put 2/39, 6, -2, 126 in descending order. 126, 6, 2/39, -2 Sort -4, 1, -3, -5, -21, 12. -21, -5, -4, -3, 1, 12 Sort -11, -10909, 5. -10909, -11, 5 Sort -3, 3, 423, 100 in decreasing order. 423, 100, 3, -3 Sort 4, 2, -117, -13 in decreasing order. 4, 2, -13, -117 Sort 0.1, -2/7, 2, -2.15, -115 in decreasing order. 2, 0.1, -2/7, -2.15, -115 Sort -14.077, -1, -0.1, -0.4 in descending order. -0.1, -0.4, -1, -14.077 Sort -5, 5, 39, 44, -3, -4. -5, -4, -3, 5, 39, 44 Put -46, 5, 658, 1, -3 in descending order. 658, 5, 1, -3, -46 Put -3, 17, 9010 in increasing order. -3, 17, 9010 Sort -14.6, 3, -2/5, -12/17, 4 in descending order. 4, 3, -2/5, -12/17, -14.6 Sort 5, 0, 13595, 4 in decreasing order. 13595, 5, 4, 0 Sort 8, 1, -290, 0.2. -290, 0.2, 1, 8 Sort 1, 6, 0, 2.341 in decreasing order. 6, 2.341, 1, 0 Put -534, -0.03, 3, 0.3 in ascending order. -534, -0.03, 0.3, 3 Sort -3, -1, 5, 3, -8 in descending order. 5, 3, -1, -3, -8 Sort 2550, -4, -2 in decreasing order. 2550, -2, -4 Sort 0.03, -0.26, 51 in increasing order. -0.26, 0.03, 51 Sort 1528, 13, -2 in decreasing order. 1528, 13, -2 Sort 5, -51.18, 6 in descending order. 6, 5, -51.18 Sort 1275, 22.7, -6 in ascending order. -6, 22.7, 1275 Sort 367, -5, 40, 3, 14. -5, 3, 14, 40, 367 Sort -1.9, -4, -6/139, -1/2. -4, -1.9, -1/2, -6/139 Sort 23, -3, 2, -2, -5, -1882 in descending order. 23, 2, -2, -3, -5, -1882 Put 1, -12, -2, -2/3, -6/11, 10 in decreasing order. 10, 1, -6/11, -2/3, -2, -12 Put -2/3, -2/13, 9/7, 12420 in increasing order. -2/3, -2/13, 9/7, 12420 Sort -2, -29, -2389 in descending order. -2, -29, -2389 Put -9, -198, -1, -4, 2 in decreasing order. 2, -1, -4, -9, -198 Put -6, -2/3, -1482 in descending order. -2/3, -6, -1482 Sort 2, -1, -1477/3 in decreasing order. 2, -1, -1477/3 Sort -5, 0, -4, -804, 2 in descending order. 2, 0, -4, -5, -804 Sort 1, -322, 44. -322, 1, 44 Sort 3, 0.1, -7/2, -2/7, -4, 1/42 in descending order. 3, 0.1, 1/42, -2/7, -7/2, -4 Sort 0, 10, -1897, -5 in ascending order. -1897, -5, 0, 10 Sort 0.5, 5, -2/17, -0.06171, 0, -9 in decreasing order. 5, 0.5, 0, -0.06171, -2/17, -9 Put -2, 21, -10, -14, 2 in descending order. 21, 2, -2, -10, -14 Put -4, 175089, 1 in ascending order. -4, 1, 175089 Put 4, 0, -3/8, 5.9, 2/25, 1 in ascending order. -3/8, 0, 2/25, 1, 4, 5.9 Put -4, 1, -58716 in decreasing order. 1, -4, -58716 Put 2144, 4, -3, 1, 5 in descending order. 2144, 5, 4, 1, -3 Put 9, 2, -29, -42 in decreasing order. 9, 2, -29, -42 Sort 3/2, -54, -3, -2/11 in descending order. 3/2, -2/11, -3, -54 Sort -0.4, -1, 69, 0, 1/4, 13. -1, -0.4, 0, 1/4, 13, 69 Sort -2.38, 0.9, 22 in descending order. 22, 0.9, -2.38 Put 3, 1, -4, -5, -25, -94 in descending order. 3, 1, -4, -5, -25, -94 Sort 3, 5, 16167, -1 in increasing order. -1, 3, 5, 16167 Put 0, 2, -2, -5, 400 in increasing order. -5, -2, 0, 2, 400 Sort -3/212659, 0.3, 2/15 in ascending order. -3/212659, 2/15, 0.3 Sort -17, 4, 1, -112, -4 in ascending order. -112, -17, -4, 1, 4 Put 4, -1, 0.3, 1/2, 1102 in increasing order. -1, 0.3, 1/2, 4, 1102 Put -1, -4, -5, 24 in ascending order. -5, -4, -1, 24 Put -39, 2, -92 in descending order. 2, -39, -92 Put -265221, -4, 0 in descending order. 0, -4, -265221 Sort 7, 13/4, 70 in descending order. 70, 7, 13/4 Sort 860, -4, 3/5, -2. -4, -2, 3/5, 860 Sort -3, 2, 0, 11, -23. -23, -3, 0, 2, 11 Sort 3/7, 25, 1.1. 3/7, 1.1, 25 Put -0.4, -3/5, 5, 0.0755, -1, 1/7 in increasing order. -1, -3/5, -0.4, 0.0755, 1/7, 5 Put 16/39, 0.2, 2, 0.46 in decreasing order. 2, 0.46, 16/39, 0.2 Put -268, 810, 2 in decreasing order. 810, 2, -268 Put -3388, -0.07, -1 in increasing order. -3388, -1, -0.07 Put -2, -2/39, 11, 566 in decreasing order. 566, 11, -2/39, -2 Put 3/68, 1/11, 2, -1/6, -15 in descending order. 2, 1/11, 3/68, -1/6, -15 Sort -12/23, -1/7, -1/6, 2/5, 3 in decreasing order. 3, 2/5, -1/7, -1/6, -12/23 Sort -5, -66560, 2 in descending order. 2, -5, -66560 Put -5, 5, -3, 2, 56, 6 in decreasing order. 56, 6, 5, 2, -3, -5 Sort -2, 21, -30. -30, -2, 21 Sort -1, 1/15, -0.09, 12 in ascending order. -1, -0.09, 1/15, 12 Sort 28, -0.4, -0.00823 in ascending order. -0.4, -0.00823, 28 Sort 0, 12, -5, 2, 54, -1 in decreasing order. 54, 12, 2, 0, -1, -5 Sort 46, 2/7, 203 in descending order. 203, 46, 2/7 Sort -1, -9, 3, 81, 1, 5 in descending order. 81, 5, 3, 1, -1, -9 Sort 19, -1, -4, 2, 7468 in ascending order. -4, -1, 2, 19, 7468 Put -10/7, -7, 1, 1/5, -4 in ascending order. -7, -4, -10/7, 1/5, 1 Sort 2, 583, 3, -36, 4. -36, 2, 3, 4, 583 Sort 0.1, 27, 2365 in ascending order. 0.1, 27, 2365 Sort -4/3, 0.6, -4, 5, 19 in decreasing order. 19, 5, 0.6, -4/3, -4 Sort -8809, 23, -4 in descending order. 23, -4, -8809 Sort 5, -2/5, -54.4, -5 in increasing order. -54.4, -5, -2/5, 5 Sort -2, 8, 0.14, -4/9 in descending order. 8, 0.14, -4/9, -2 Sort -3, 1, -97. -97, -3, 1 Sort 3, -1, -7873, 0, 84, 1. -7873, -1, 0, 1, 3, 84 Sort 5, -1, 0.02, 41, 2/33, 4. -1, 0.02, 2/33, 4, 5, 41 Sort -3/2, -0.2, 1, -2, 116, -1 in increasing order. -2, -3/2, -1, -0.2, 1, 116 Put 894, 1246, -1 in increasing order. -1, 894, 1246 Sort 4, -11, -4, 0, -28, -9. -28, -11, -9, -4, 0, 4 Put -0.8, -0.07, 0, 5 in descending order. 5, 0, -0.07, -0.8 Put 0.7, -0.34, 632 in increasing order. -0.34, 0.7, 632 Sort -2, -19, 5, -3, 876. -19, -3, -2, 5, 876 Sort 2, 239, 88, -0.4, 0.1. -0.4, 0.1, 2, 88, 239 Sort 21, -3, -385 in descending order. 21, -3, -385 Sort 4, 161, -4, 1, 3, 2 in ascending order. -4, 1, 2, 3, 4, 161 Put 3, 0, -78, 1 in decreasing order. 3, 1, 0, -78 Sort -140, -31, -1, -4, 5, 4 in descending order. 5, 4, -1, -4, -31, -140 Sort 3, 4, -5, 1514 in descending order. 1514, 4, 3, -5 Sort -3, 203, -5, -71, 1 in increasing order. -71, -5, -3, 1, 203 Put -4, -1, 1564, -2, 9 in ascending order. -4, -2, -1, 9, 1564 Put -5027/48, 0.3, -3 in decreasing order. 0.3, -3, -5027/48 Sort 17, 21, -95 in decreasing order. 21, 17, -95 Sort -0.5, -2/17, -112, 633, 4, -4 in ascending order. -112, -4, -0.5, -2/17, 4, 633 Put 0, -1/5, 0.03, 10.5, 2/21 in ascending order. -1/5, 0, 0.03, 2/21, 10.5 Put 2, -12, -5, -519, 0 in increasing order. -519, -12, -5, 0, 2 Put 4, 5, 1, 1156, -11 in decreasing order. 1156, 5, 4, 1, -11 Sort 196, 2, -120. -120, 2, 196 Sort -2, 318, -48 in decreasing order. 318, -2, -48 Put -3, -12, -176, 5, 0 in descending order. 5, 0, -3, -12, -176 Sort 40/7, -31, 0.7, -2, -22 in ascending order. -31, -22, -2, 0.7, 40/7 Put -3, 4, -6050 in ascending order. -6050, -3, 4 Sort 21, 0.072, -1, -3. -3, -1, 0.072, 21 Sort -2, 39092, -14 in ascending order. -14, -2, 39092 Sort 22877, 7/4, -0.5. -0.5, 7/4, 22877 Sort 0, -4, 1, -121, 52 in ascending order. -121, -4, 0, 1, 52 Put -79, -8, 4, 1, -2 in decreasing order. 4, 1, -2, -8, -79 Sort -4, -3, -250, 4, 5, -1 in increasing order. -250, -4, -3, -1, 4, 5 Put 6, 114917, 0.2, -2/7, -3 in decreasing order. 114917, 6, 0.2, -2/7, -3 Sort 1165, 4, -12 in descending order. 1165, 4, -12 Put -4, -1/5, 17, -1, 4/7 in decreasing order. 17, 4/7, -1/5, -1, -4 Sort -1, -3, -561, -11, -2 in increasing order. -561, -11, -3, -2, -1 Sort -5, 122, -34, 3, 4 in decreasing order. 122, 4, 3, -5, -34 Put 4/25, 38, -3, -79 in descending order. 38, 4/25, -3, -79 Put 12, 3, 4, 2, -5 in ascending order. -5, 2, 3, 4, 12 Sort 1, -4/5, 66, -5, 6 in increasing order. -5, -4/5, 1, 6, 66 Put -0.8, 0.2, -60058 in descending order. 0.2, -0.8, -60058 Put 3, 778, 167, -1, 1 in descending order. 778, 167, 3, 1, -1 Put 232, 0.4, 3/4, 94, -2 in ascending order. -2, 0.4, 3/4, 94, 232 Sort -3, 1, -888, -11 in increasing order. -888, -11, -3, 1 Sort 77, 78, 3, -1, 0 in decreasing order. 78, 77, 3, 0, -1 Put 2, 5/2, 0, -3/25, 11 in ascending order. -3/25, 0, 2, 5/2, 11 Sort -2, 48, -3, -20, -1 in increasing order. -20, -3, -2, -1, 48 Sort -1093, 5, 1, 2 in descending order. 5, 2, 1, -1093 Sort -3
{ "pile_set_name": "DM Mathematics" }
et h be 8 + (5 - 6) - 13. Give a(h). 4 Let p(i) = i**2 + 15*i + 22. Let j be p(-13). Let d be (j/3)/((-2)/3). Let s(o) = -o + 3. Give s(d). 1 Let l(x) = -x**3 - 6*x**2 + 8*x + 7. Suppose 0 = -7*i + 4*i - 6. Let q be 1*1*-11 + (-8)/i. Give l(q). 0 Let r(j) be the second derivative of j**3/3 - 7*j**2/2 - 14*j. Suppose -5*b - 4*u = -22, -4*u - 32 = 2*b - 6*b. What is r(b)? 5 Let s = 25 + -85. Let y be (-3)/2*s/(-18). Let x(p) = 2*p + 6. Give x(y). -4 Suppose 0*w = -3*v + 2*w + 12, -v = -4*w + 6. Let n be ((-15)/(-6) - 1)*2. Let g(a) = -a**n + 3*a - 2*a - v*a**2 + 5 + 2. What is g(-6)? 1 Let a(g) be the first derivative of -g**6/360 - 3*g**5/40 - 5*g**4/24 + g**3/3 + 10. Let x(s) be the third derivative of a(s). What is x(-6)? 13 Suppose -2*y = q + 4*q - 41, 4*q - 4*y - 16 = 0. Let r(v) = 6*v**3 + 4*v + 3*v**2 - q*v**3 - v + 1. Let s = -11 - -15. Determine r(s). -3 Let z(f) be the third derivative of f**7/1680 - f**6/360 - f**5/12 + 3*f**2. Let w(u) be the third derivative of z(u). Calculate w(4). 10 Let w(d) = -3 - 304*d + 5 + 136*d + 165*d. Suppose -4*q = 4*o - 28, 5*q - 23 = q - 3*o. Give w(q). -4 Let o(x) = 2 - 21*x**3 - 3*x**2 + 46*x**3 - 2*x - 23*x**3 + 5*x. Give o(3). 38 Let c(l) = 6*l**2 + 2*l + 3. Let g(j) = -7*j**2 - 3*j - 3. Let t(u) = -6*c(u) - 5*g(u). Let x = -7394 - -7398. Determine t(x). -7 Let k(q) = q**2 + 3*q - 6. Let c(j) be the third derivative of -j**4/24 + j**3/6 - 20*j**2. Let v(p) = -6*c(p) + k(p). What is v(-9)? -12 Let s(h) = -h - 1. Let r(z) = -z**2 + 6*z + 17. Let y(g) = r(g) + 6*s(g). Let q(d) = 3*d**2 + 8*d - 3. Let p be q(-3). Give y(p). 11 Let t(v) be the second derivative of v**4/6 + v**3/2 - 3*v**2/2 - 100*v. Calculate t(-4). 17 Let i(v) = -v**2 + 5*v + 4. Suppose 96 = o + 11*o. Suppose 0*g + 2*g + 23 = 5*l, l = -3*g + o. Determine i(l). 4 Let m(n) = 2*n**3 - 32*n**2 - 3. Suppose 26*s - 173 = 243. Calculate m(s). -3 Let z(n) = n**2 + 3*n - 9. Let k(p) = -3*p**2 + 11*p + 27. Let q be k(-2). Determine z(q). 19 Let m(p) = -3*p**2 - 10*p - 4. Let g(y) = 16*y**2 + 49*y + 22. Let l(k) = 2*g(k) + 11*m(k). Calculate l(-12). 0 Let f(i) be the first derivative of -i**4/4 - 7*i**3/3 + 17*i**2/2 - 7*i - 891. Determine f(-9). 2 Suppose 0*l - l = -4*n + 13, 0 = -5*n - 2*l + 13. Let t(m) = -4*m + 7. What is t(n)? -5 Let b(o) = -131*o - 4*o**2 + 53*o**3 + 127*o - 55*o**3 - 3. Determine b(-2). 5 Let r be (1 + -2)*0/3. Let f(p) = 19*p**2 + 7*p + 10. Let c(u) = -16*u**2 - 6*u - 10. Let v(x) = -6*c(x) - 5*f(x). Determine v(r). 10 Suppose 4 = 48*p - 52*p. Let m(h) = -h**2 - 2*h - 1. Determine m(p). 0 Suppose 0 = 4*y + 5*b - 35, -2 = -y - 2*b + 9. Let h(x) = 2*x - 1. Let m(g) = -11*g + 8. Let c(v) = -5*h(v) - m(v). Calculate c(y). 2 Let m be (-40)/30*(-3)/2. Suppose 15 = 3*i + m*i. Let f(b) = -b + 3 - i - 3. Give f(0). -3 Let j(l) = l**3 - 4 + 21*l**2 - 32*l**2 + 9*l + 20*l**2. What is j(-8)? -12 Let x(t) = -t**2 - 5*t + 4. Suppose 450 = -10*q + 390. Determine x(q). -2 Let v(b) = b**2 - 17*b + 17. Let x be v(16). Let z(r) = 14*r**2 + 4*r - 2. What is z(x)? 16 Let x(l) = l**2 - 9*l + 10. Suppose -2*c = -3*f - 16, -3*c + 2*c + 8 = -4*f. Let w be x(c). Let b(m) = 4 + 3 + 3*m**2 - w*m**2 + 0. Give b(0). 7 Let p be 4012/649 + (-4)/22. Let a(y) = y**3 - 6*y**2 - y + 5. Calculate a(p). -1 Let g(f) = -f + 1. Let p be g(-3). Suppose -p*i + 6*i = 4. Suppose i*y - 4*m + 8 = 0, 2*y + 2*m - 24 = -2*m. Let d(s) = s**3 - 5*s**2 + s + 5. Calculate d(y). -7 Let k(q) = q**3 + 8*q**2 + 8*q + 15. Suppose -14*l - 229 + 131 = 0. What is k(l)? 8 Let z(m) = -m - 7. Let a be z(-11). Let w(y) = -y + 5. Let b be w(4). Let o(c) = 3*c - 2*c + b - 4*c. What is o(a)? -11 Let p(b) = -b**2 - b + 8. Let g be p(0). Let q = -5 + g. Let a(i) be the first derivative of i**2 - 3*i - 14. Give a(q). 3 Let v(k) be the second derivative of -k**4/12 + 2*k**3 - 23*k**2/2 + 204*k. Let j = 13 + -4. Let y be v(j). Let q(n) = n**3 - 5*n**2 + 7*n - 4. Determine q(y). 8 Let k(p) = -p**2 + 6*p + 3. Let g be (-465)/(-6) + 3 + 2/(-4). Let y = g + -74. What is k(y)? 3 Let v(b) be the third derivative of 3*b**4/8 + 7*b**3/3 - b**2 + 159*b. Determine v(-9). -67 Let v(u) = -13*u + 291. Let q be v(22). Let o(f) be the first derivative of -f**2/2 - 4*f - 3. What is o(q)? -9 Let d(s) = 3*s**3 - 2*s**2 - 3*s - 3. Suppose 24*b - 16*b + 16 = 0. Determine d(b). -29 Let s be (-9)/(-2) + (-19)/38. Let n(o) = 5*o + 4. Give n(s). 24 Let m(g) = -5*g - 9. Let d be ((-2)/(-4))/((-87)/348). Determine m(d). 1 Suppose -2*k + j + 8 = -0*k, 0 = k + 3*j - 18. Suppose 0 = 2*f - k. Let t(s) = s**3 - 3*s**2 - 1. What is t(f)? -1 Let f(a) = -29*a - 3. Suppose -u = 3*q - 1, 0*u = 4*u + 5*q + 3. Calculate f(u). 55 Let q(d) = -3*d + 25. Let h be (-100)/15 - 1/3. Let p(b) = b - 12. Let x(f) = h*p(f) - 3*q(f). What is x(-6)? -3 Let q(x) be the second derivative of x**4/12 + 3*x**3 + 13*x**2/2 - 5*x + 6. What is q(-17)? -4 Suppose -2*j - d + 5 = 3*j, -4*d + 20 = 3*j. Let p be (16 + -1)*(-60)/(-36). Let w(b) = 8 - 7 + 24*b - p*b. What is w(j)? 1 Let r(j) = 23*j**2 - 2*j + 5. Let s(v) = 15*v**2 - v + 3. Suppose 10*t - 5*t + 70 = 0. Let p = -6 - t. Let h(g) = p*s(g) - 5*r(g). What is h(1)? 6 Let w(t) = t**3 + 9*t**2 - 9*t. Let q = -303 - -293. Calculate w(q). -10 Let z(a) = -a**3 + a - 3. Let w(c) = c**3 + c**2 + c + 2. Let j(i) = -3*w(i) - 4*z(i). Give j(4). -6 Let t(h) = -h**3 + 12*h**2 - 11*h + 7. Let a = 533 + -522. What is t(a)? 7 Let s(n) = 15*n**2 + 6*n - 1. Let h(w) = -11*w**2 - 4*w + 1. Let g(t) = -7*h(t) - 5*s(t). Calculate g(-2). 10 Let l(v) = -2*v + 7. Let f = 182 - 188. What is l(f)? 19 Let k(o) = -o**3 - 7*o**2 + 8*o - 1. Let r(u) = -3*u**3 - 13*u**2 + 16*u - 1. Suppose -12 + 32 = 10*y. Let d(f) = y*r(f) - 5*k(f). What is d(8)? 3 Let p(d) = 4*d**3 + 7*d**2 + d + 6. Let z(h) = -26 + 13 + 9 + 5*h**3 + 10 + 8*h**2. Let g(f) = 4*p(f) - 3*z(f). Give g(-4). -10 Let l = 29 - 26. Suppose 0 = -l*k - 4*n + 2*n + 34, -55 = -5*k - 3*n. Let g(t) = -t**3 + 8*t**2 + 3. Calculate g(k). 3 Let a(w) be the first derivative of 3/2*w**2 - 16 - 3*w. Calculate a(-7). -24 Let g(s) = 9*s**2 + s**3 + 6 + 259*s - 250*s - 5. What is g(-8)? -7 Let r(o) = 90 - o**2 + 5*o + 9*o - 96 - 9*o. What is r(6)? -12 Let t(v) = -24*v**2 + 1 + 5*v - v + 0*v - 3*v. Give t(-1). -24 Let h be (-2 + -5 + 4)*-7. Let i(t) = 40*t - h*t - 20*t. Give i(-2). 2 Let p(u) be the second derivative of -u**5/20 + 2*u**4/3 + u**3/6 - 15*u**2/2 + u - 267. What is p(8)? -7 Let g(k) = k**2 - 11*k + 10. Let j = -380 + 388. Give g(j). -14 Let y = 23 + -11. Suppose 0 = -5*j - y + 7. Let i(d) = -12*d + 1. What is i(j)? 13 Let d(g) = -g**3 - 13*g**2 + 29*g - 15. Let q = 1758 + -1773. Calculate d(q). 0 Let j be -2*(-5)/(30/21). Let k(b) = -b**3 + b**2 - b**2 + 8 - 8*b**2 - j*b. Let t be (14*-1)/(4 - 2). Give k(t). 8 Let n be 3*((-9)/((-81)/(-24)) + 4). Let q(v) = 4*v - 3. Let g(m) = -5*m + 4. Let b(a) = n*q(a) + 3*g(a). What is b(-7)? -7 Let j(z) = -3*z**3 + 2*z**3 - z - 7*z**2 + 760 - 767. Calculate j(-7). 0 Suppose -b - 1 + 6 = -2*n, 20 = 4*b - 2*n. Suppose -3*a - 2*a - 3*i = -15, -2*a = b*i - 25. Let f(g) = 1 + 1 + g + 1 - g**2. Give f(a). 3 Let h(x) = -3*x**3 - 50*x**2 - 47*x + 10. Let k(p) = p**3 + 17*p**2 + 16*p - 3. Let l(y) = -4*h(y) - 11*k(y). Determine l(-12). -7 Let m(w) be the first derivative of -7*w**4/24 - w**3 + 37*w**2/2 + 31. Let n(x) be the second derivative of m(x). What is n(-4)? 22 Let a(m) = -8*m**2 + m + 8. Let c(z) = -3*z**2 + z + 4. Let u(w) = 2*a(w) - 5*c(w). Determine u(-3). -4 Let z(n) = -19*n - 3. Let f be (-2)/(-12)*(-76 + 64). Calculate z(f). 35 Let q be 0 - (-1 + 0) - 1. Suppose q = j - 4*j + 24. Let y(w) = 4*w**2 - 11*w**2 - 10*w + 6 + j*w**2. Give y(6). -18 Suppose -4*v - 2*m = 16, m = 2*m + 2. Let y = 0 - v. Let u(g) = -1 - 2 + 8*g**2 - 1 - 7*g**2 - y*g. Calculate u(5). 6 Let p(c) = 4*c + 1. Let w(z) = z**3 - 12*z**2 - 2*z + 25. Let h be w(12). Calculate p(h). 5 Let j = -35 + 38. Suppose j*l + 2*l = 20. Let v(d) = 2*d - 6. What is v(l)? 2 Let x(s) = -s**2 + 53*s - 101. Let k be x(51). Let t(b) = -2*b + b**2 + 5*b**2 + b. Calculate t(k). 5 Let y = 1813 + -1808. Let a(w) = -w**3 + 4*w**2 + 3*w + 4. Give a(y). -6 Let w(x) = -4*x - 4. Suppose 2*i + 2*i - 5*n - 12 = 0, -2*i = -4*n. Let f(b) = 11*b + 12. Let p(v) = i*w(v) + 3*f(v). Determine p(
{ "pile_set_name": "DM Mathematics" }
/w**(1/14)))**25)**(-3/11) assuming w is positive. w**(-2175/154) Simplify (r*(r**(5/6)*r)/r)/r*r*r**(-2/49)*((r/r**4)/r)/r**(3/2) assuming r is positive. r**(-545/147) Simplify (z*z/z**(-3/5))**(2/3)*(z/z**(-2/3))**26 assuming z is positive. z**(676/15) Simplify ((((j/(j*(j*(j*j**(-1))/j*j)/j*j)*j)/j*j*j)/j*j*j**(-13))/(j**(-1/7)*j*j**(-2/19)))**(1/45) assuming j is positive. j**(-1696/5985) Simplify (k**7)**(-22)*(k*k**(1/2))/((k/(k*k*k*k**(2/7)))/k*k) assuming k is positive. k**(-2103/14) Simplify ((y**(-17)/y)/y)**32/(y**(-10/9)/y)**(31/4) assuming y is positive. y**(-21299/36) Simplify (p**(-21)/p)/(p**31*p)*p**(3/2)*p*p**(10/11)*p assuming p is positive. p**(-1091/22) Simplify (h**3)**(-44)/(h*h/(h/h**(-9))*h*h)**(-44) assuming h is positive. h**(-396) Simplify (m/(m/m**(-12))*m**(-1/3))**34 assuming m is positive. m**(-1258/3) Simplify (j/((j**(7/4)*j)/j*j*j*j*j))/(j**(-2/11)*j)*(j**2/j*j)**(-12/13) assuming j is positive. j**(-4241/572) Simplify ((j/j**(1/10)*j*j**(1/2)/j)/(j**(2/5))**38)**(-17) assuming j is positive. j**(1173/5) Simplify (u*u/(u*u/(u**8*u*u)))**(-6)*(u**(-2/29)*u)/(u*u**12) assuming u is positive. u**(-2090/29) Simplify (h/(h*h**(-3/28)))**(-45)*(h/(h/h**(-3/37)))/h**(6/5) assuming h is positive. h**(-31611/5180) Simplify ((r/(r/r**(-1)))**(-48)*r**(3/4)/r**(1/5))**4 assuming r is positive. r**(971/5) Simplify ((m*m*m*m/(m/(m**43*m))*m*m)/(m/(m**(-3/5)/m)))**(9/7) assuming m is positive. m**(2088/35) Simplify ((r/(r/r**5))/(r**(-8)/r)*r**(-1/8)*r**(-5))**(-2/19) assuming r is positive. r**(-71/76) Simplify z*z**(2/67)*z*z**(-30)*z**(-3/29)*z**(2/5) assuming z is positive. z**(-268849/9715) Simplify f**4/((f*f**(2/7))/f)*f**(-5)/f*f*f**1*f assuming f is positive. f**(5/7) Simplify ((z/(z**(-11)/z))/(z/(z/(z**19*z))))/(z**19/(z**(-18/11)*z)) assuming z is positive. z**(-293/11) Simplify ((b*b**(1/4)*b)/(b*b/(b*(b*b*b**(-3)*b)/b))*(b**1)**(-9))**(-34) assuming b is positive. b**(595/2) Simplify ((o**(1/7)/o)**(4/19))**(10/13) assuming o is positive. o**(-240/1729) Simplify (n/(n/n**(-2/13)*n))/(n**11*n)*(n/(n*n**(-1/3)*n))**(-47) assuming n is positive. n**(709/39) Simplify (w/(w**(-6/7)/w))**(29/3)*(w*w**(-2))**(-3/10) assuming w is positive. w**(5863/210) Simplify ((i**(-3/10)/(i*i/((i*(i**(-1/9)/i)/i)/i*i)))**(-50))**(2/177) assuming i is positive. i**(3070/1593) Simplify ((o*o/o**32)/o**(-25))**(1/99) assuming o is positive. o**(-5/99) Simplify (((r**(-2/19)*r*r*r)/r)**46)**(-44) assuming r is positive. r**(-72864/19) Simplify (x/x**(-1/25))/(x*x/(x/(((x*x**7)/x)/x)))*x**(-6)/x**(3/14) assuming x is positive. x**(-4261/350) Simplify (b**(-7)*b)**(-1/27)/(b**(-18))**(20/13) assuming b is positive. b**(3266/117) Simplify l**7*l*l*l**(-2/5)*l**(-1/2)/(l**5/l) assuming l is positive. l**(41/10) Simplify (k**(10/3)*k)/((k/(k/(k*k/(k*(k/(k*(k/k**(-17))/k))/k))*k))/k)*(k**(-18))**24 assuming k is positive. k**(-1334/3) Simplify (q**(-24))**39*(q**(-34/7)/q)/(q*q**(32/7)) assuming q is positive. q**(-6632/7) Simplify (x/x**(-9))**(-1/3)*x*x*x**(-9/4)*x**(1/4) assuming x is positive. x**(-10/3) Simplify k**(5/7)/k**(-22)*(k*k*k/(k**(-32)*k))**(-27) assuming k is positive. k**(-6267/7) Simplify ((l*l/l**10*l)/l*l)**(10/9)/(l**(-5/2)*l**(5/3)) assuming l is positive. l**(-125/18) Simplify (l**(-3/7)*l**11)/((l*l**4*l)/l**(-1/12)) assuming l is positive. l**(377/84) Simplify (p/(p/(p*p**(2/65)))*p)/p**(5/7)*(p/p**(5/6))**(18/5) assuming p is positive. p**(872/455) Simplify (k*k**(-2/9)*k*k*k)**(-49)*k*k**(5/4)*k/(k*k**4/k) assuming k is positive. k**(-6691/36) Simplify ((c/(c*(c*c*c*c*c**(-2/29)*c*c)/c*c))**(-8))**50 assuming c is positive. c**(68800/29) Simplify ((v**(2/5)/v**(8/3))**(-14))**(-30) assuming v is positive. v**(-952) Simplify (z*z**16)/(z**(-2/45)/z)*(z/z**(1/5))**(-24) assuming z is positive. z**(-52/45) Simplify f**12/f**9*f**(-12)/f**(1/11) assuming f is positive. f**(-100/11) Simplify (((k/k**17)/k*k)**(-10/11))**(6/11) assuming k is positive. k**(960/121) Simplify (v**(-1/6)*v/(v*v**13*v))/(v**1*v**(-13)) assuming v is positive. v**(-13/6) Simplify (r/r**(-1/3))**9*r**(1/13)*r**20 assuming r is positive. r**(417/13) Simplify (y**(-9)*y**(-8)/y)/(y*(y*(y*y**18*y)/y)/y*y/y**15) assuming y is positive. y**(-24) Simplify (s**8/((s/s**(-3/4))/s))/(s/(s/(s**(-9/7)*s))*s**(-6/11)/s*s) assuming s is positive. s**(2489/308) Simplify t**(-16/3)/t**(-3)*t**31/(t*t*t*t**21*t*t) assuming t is positive. t**(8/3) Simplify (((i**12/i)**(-7/2))**(-42))**(3/2) assuming i is positive. i**(4851/2) Simplify ((b**0*b)**(1/46)/(b*b/b**0*b)**30)**(-29/2) assuming b is positive. b**(120031/92) Simplify ((f*f**3*((f/f**(1/6)*f)/f)/f)**(8/9))**(-33) assuming f is positive. f**(-1012/9) Simplify (((u**(-11))**(-34))**(6/7))**(10/13) assuming u is positive. u**(22440/91) Simplify ((n*n*n**(2/29))/n*n/n**(1/11))/(n/(n*n**(-18))*((n*n**(-10))/n)/n) assuming n is positive. n**(-1602/319) Simplify (g*g/(g/(g*g/((g**13/g)/g))))**(-13/6)*(g**(-7))**(2/87) assuming g is positive. g**(498/29) Simplify r/r**10*r*r/(r/r**(-5/7))*r*r*r/r**(-1/17)*r*r/(r/(r**11/r)) assuming r is positive. r**(636/119) Simplify (z*(z/(z*z*z/(z*z/(z*(z/((z*z**(-4/5)/z)/z))/z))))/z*z)**(4/25)/(z**2)**18 assuming z is positive. z**(-4536/125) Simplify (c*c**(-2)/c*c)**16/(c*c/(c**(2/7)*c)*c)**10 assuming c is positive. c**(-232/7) Simplify (s/(s**(6/5)*s)*(s*s**10)/s)/((s*s**16)/(s*s**4)) assuming s is positive. s**(-16/5) Simplify ((o/(o*o**(-6)))/o*o/(o*o/(o/o**(-2/7)))*((o/(o/o**4))/o)/o*o**(8/7))**(-11) assuming o is positive. o**(-649/7) Simplify (x*x**(-1)/x*x**(-5)*x*(x**(-2/7))**(-17))**23 assuming x is positive. x**(-23/7) Simplify (x/(x*x**(1/22)))/x**9*((x*x*x**(6/7))/x*x)/((x*x**(-1/4)*x)/x) assuming x is positive. x**(-2137/308) Simplify (i**(8/9)/i*i**(3/2))**5 assuming i is positive. i**(125/18) Simplify z/(z*z**(-1/25))*z**(10/3)*z*z*z**(2/11)*(z**(3/5)/z)/z assuming z is positive. z**(3428/825) Simplify (k*k**15)/(k/(k*k/k**(-2/71)))*k**(1/16)*k*((k*k**(17/3)*k)/k)/k assuming k is positive. k**(80965/3408) Simplify (y**(4/3)*y**(1/2))/((((((y*y*y**(1/6)*y*y)/y)/y)/y)/y)/y)**47 assuming y is positive. y**41 Simplify ((o*o/o**3*((o/(o*o*o*o**5))/o)/o)/(o**0)**(-28))**(-48) assuming o is positive. o**480 Simplify (u**(1/9))**(-4/39)*((u*(u/u**(-10))/u*u)/u)/(u/u**(-2)) assuming u is positive. u**(2804/351) Simplify (g**0/g)**(4/27)/(g*g**(-12)*g/g**(5/2)) assuming g is positive. g**(667/54) Simplify (t*t/(t*t**0*t)*t*t)/(t*t*t*t*t/t**(-4)*t)*t/(t*t**(4/7))*t*t**2 assuming t is positive. t**(-39/7) Simplify ((r/(r**(-2)*r)*r*r)**(-49)*(r*r**(2/7)*r)/(r*(r*r**(-2/13)/r)/r))**44 assuming r is positive. r**(-775016/91) Simplify ((j/j**(-5/4))**(-35))**24 assuming j is positive. j**(-1890) Simplify (o**(-6/13))**(-5/2)*(o*o*o/((o*o/(o*o**(21/5))*o*o)/o)*o)/(o*o/(o**19/o*o)) assuming o is positive. o**(1583/65) Simplify h/h**(-7)*h*h/h**(5/4)*h*(h*h/(h**(-2)/h)*h)**40 assuming h is positive. h**(999/4) Simplify (((t*t**(-20))/(t*t/((t*(t**22*t)/t*t)/t)*t*t*t))**(-13/4))**(-19) assuming t is positive. t**(-247/4) Simplify (u*u*u/u**9*u)**44/(u**(2/45)/u**(-14)) assuming u is positive. u**(-10532/45) Simplify ((x/(x**(-1)/x)*x)/x**(-2)*(x**(-2/13)*x)/x*x*x/x**(-5/3)*x)**(2/15) assuming x is positive. x**(164/117) Simplify ((q**(-3/8)*q**(5/2))**(1/49))**(-13/3) assuming q is positive. q**(-221/1176) Simplify (o**(5/2)/(o*o*o**(-1/7)))/(o*o**(-2/9))**(-5/7) assuming o is positive. o**(151/126) Simplify ((v/(v*v*v*v/v**2))/v*v**13)/(v**(3/2)/v**(-11)) assuming v is positive. v**(-3/2) Simplify c**12*c/((c**(-1/4)*c)/c)*(c**(-6)/c*c)/c**(-2/17) assuming c is positive. c**(501/68) Simplify (r**(1/5)*r*r*r*(r**(1/16)*r)/r)/(r*(r/(r*r/r**4))/r)**(-31) assuming r is positive. r**(7701/80) Simplify (s**(1/32)/((s*s/(s**(-6)*s*s))/s))/(s/((s*s**(-1/3))/s*s))**(8/11) assuming s is positive. s**(-5503/1056) Simplify (r/(r*r**(-1/9))*r*r)/(r/r**8)*(r**(1/5)*r)**(8/9) assuming r is positive. r**(458/45) Simplify ((u*u**(-17))/u**(-9))/((u/(u/u**4))/(((u/((u**(-2/27)*u*u*u)/u*u*u))/u)/u)) assuming u is positive. u**(-430/27) Simplify ((k*k/((k*k**1)/k*k))/(k*k**(-3/2)*k)*k**(1/6)*k/(k/(k*k*(k*k/k**(-1/5)*k*k)/k)))**(3/17) assuming k is positive. k**(73/85) Simplify (w/(w*
{ "pile_set_name": "DM Mathematics" }
closest to -5 in 2/17, 0.5, 4483208? 2/17 Which is the nearest to 0? (a) 179 (b) 0.0495 (c) 3/8 (d) -3 (e) 5 b Which is the closest to -235/11? (a) -5 (b) -2 (c) -3/4 (d) -2/3 (e) -0.5 (f) 745 a What is the closest to -2/3 in -1/16, -6, -26? -1/16 What is the closest to -1/4 in -0.068, 4/15, -0.159, 2? -0.159 Which is the nearest to 1/9? (a) -13/2 (b) -12 (c) 26 a What is the closest to -0.2 in -38, -1/4, 8497? -1/4 What is the nearest to -1 in -1, -0.02, 22454.6? -1 Which is the closest to -1/4? (a) 0.4 (b) -50 (c) 0 (d) 1/6 (e) 5 c Which is the closest to 61.3? (a) -5 (b) 3/14 (c) 3 c Which is the nearest to 12.29? (a) -2/3 (b) -3 (c) -0.3 (d) -4/9 (e) -8 c What is the closest to 1 in 3, -2/7, -1688, -0.96? -2/7 Which is the nearest to 5/334? (a) 0.03 (b) -4 (c) 684 a What is the nearest to -703 in -7, -15, -2, -1/4, -2/25? -15 What is the nearest to 182 in 2, -0.07, 30/287? 2 What is the nearest to -0.1 in -0.3, -4.06, 7, 0.3, -7, -4? -0.3 Which is the nearest to 645? (a) -970 (b) -3 (c) -1 c What is the nearest to 31 in -3, 3000, 0.1, 0.006? 0.1 Which is the closest to 41? (a) -0.1 (b) -2 (c) 3/10 (d) -8/7 (e) -2/15 (f) -103 c What is the nearest to 0 in -0.114, -1, 9, 4, -0.4, 3/506? 3/506 What is the nearest to 3/13 in -1/4, -21/2, -38.2? -1/4 What is the closest to -0.3 in -1, 2, -0.02, 193, -3.3? -0.02 Which is the closest to 2/7? (a) 0.056 (b) -278 (c) 0.04 (d) -0.1 (e) -4/5 a What is the closest to -1 in -6146, 1/2, 1.847, 3? 1/2 What is the nearest to 1 in -4, 0.2, 0.37, 0.09, -5, 4022? 0.37 What is the nearest to 12 in -13, 971, 5? 5 What is the nearest to 2 in -1/42, 3.2478, -0.4? 3.2478 What is the closest to -3/7 in -2, -0.2, -351719.7? -0.2 What is the closest to -5/79 in 2/3, 0.4, 85, -0.11, -4? -0.11 What is the closest to -2 in -1.068, -6868/7, 1? -1.068 Which is the nearest to -732? (a) 1/2 (b) -0.138 (c) -0.01 (d) 0.2 b What is the nearest to 578 in -4, -182, -5, 5? 5 Which is the nearest to 2? (a) 10 (b) 7 (c) -2/7 (d) -0.0358 d What is the closest to 53 in -145, 1, 0, -8? 1 What is the nearest to 0.2 in 422, 46, 30/7? 30/7 Which is the closest to 0.2? (a) -27 (b) -557 (c) 12 c What is the closest to -2 in -29, 3/8, 2/28487? 2/28487 What is the closest to -7 in -4, -282, 19, 5, 0.05? -4 Which is the nearest to -0.1? (a) 5 (b) 70.9 (c) 0.0713 (d) -14 c Which is the closest to 4688/33? (a) -0.5 (b) -23 (c) -2 a What is the nearest to -0.5 in -0.9, -2, -18, 0.64, -1? -0.9 What is the closest to -3 in -3/2, -4784, 1, 0.2, -1? -3/2 What is the closest to 0 in 2/123, -1832, 0.3, 0.26? 2/123 What is the nearest to -239 in -5.3, -3/5, 5? -5.3 What is the closest to -1083 in 4, -0.5, -85, 6? -85 Which is the nearest to -1/4? (a) 1698 (b) -2872 (c) 0.01 c What is the nearest to -5 in -666, 68, 2, 2/9, -2/11? -2/11 Which is the closest to -6? (a) -894 (b) -0.2 (c) 55 (d) -3/7 d Which is the nearest to -0.2? (a) 32 (b) -7/2 (c) -18922 b What is the nearest to 108 in -2.7, -0.03, 1, -4, 34? 34 What is the closest to 0 in 13, -3/5, 3, -373, 7? -3/5 Which is the nearest to 0? (a) 3470 (b) -3 (c) 5385 b What is the closest to 105 in -15213, 0.8, 2/15? 0.8 What is the nearest to -5 in -1, 0.5, -20055403? -1 Which is the closest to -2941? (a) -2/3 (b) 3/4 (c) -2746 c What is the nearest to -1 in -1/3, 1395, -0.5, -2/17, -0.07? -0.5 What is the nearest to -2.5 in 0.03, 0.09, 334? 0.03 What is the nearest to 0.5 in -104, 1, -3383, -1.7? 1 Which is the closest to 0? (a) 2.7 (b) 2/7 (c) 507 b Which is the nearest to 1/3? (a) -131 (b) 2 (c) 1/2 (d) 7 (e) -10/3 c Which is the nearest to 1? (a) -0.2 (b) 6 (c) -1/2 (d) -1 (e) -788 a What is the nearest to -0.1 in 4, -4.4, -5, 343? 4 What is the closest to -5 in 1/48, -145, 5/3? 1/48 Which is the nearest to -4072? (a) 2 (b) -0.3 (c) 1/2 (d) -0.5 d What is the nearest to -2 in -0.05, 2, -15846? -0.05 Which is the closest to 1.8? (a) -178 (b) -1.79 (c) 2 (d) 0 (e) 0.2 (f) -0.5 c Which is the nearest to -1/3? (a) 1/10 (b) -16/13 (c) 2 (d) 2/18677 (e) 4/7 d What is the closest to -4 in 0.1, -1, -4, -0.05, -62022? -4 What is the nearest to -1 in -18892, 0, -3/10? -3/10 Which is the closest to -1? (a) -23 (b) 481 (c) -7 (d) 4 d What is the nearest to 2 in -1662, -1/725, 0? 0 Which is the nearest to 2? (a) -3/2 (b) -3/581 (c) -2 (d) -5 (e) -18.7 b Which is the nearest to -315? (a) 2/43 (b) 2/1411 (c) 0 (d) 5/2 c What is the closest to 15 in 2509, -2666, 3? 3 What is the closest to 2/1175 in -9, -5, 24/17, 3, 8, -1? -1 What is the closest to -1/3 in 0, 1002, 2/7, -51, -1? 0 Which is the closest to 17? (a) -1 (b) -43 (c) -1025 (d) -3 a What is the nearest to 41 in -5, -6, -4, -0.1866? -0.1866 Which is the nearest to 47? (a) -1 (b) -5720 (c) 3/8 (d) 0.5 d Which is the closest to -2? (a) -14 (b) -0.4 (c) -2 (d) 5/11 (e) -59 c What is the nearest to -2.2 in 1.86, -1/3, -5, 173, 0.2? -1/3 What is the closest to -1/2 in 5, 2404460, 1/6? 1/6 What is the closest to -2/463 in -0.06, 3/10, -1/2, 10? -0.06 What is the nearest to -0.3 in 2/11, -1, -1/7, 6299, 0.1, 0? -1/7 Which is the nearest to -48? (a) 1/2 (b) 881 (c) 0 (d) 9 c What is the nearest to -41098 in 0, 3, 4, -12, -5? -12 Which is the closest to 7/6? (a) -4 (b) -3/7 (c) -86 (d) -2/17 (e) -2/9 d Which is the nearest to 31? (a) 4 (b) 1/56 (c) -2 (d) 122 a What is the closest to 0 in 405179, -0.3, 39.8, 0.5? -0.3 Which is the closest to 6? (a) -41 (b) -325 (c) 4 (d) 0.2 (e) 3 c What is the closest to -1 in -28, 0.4, 1/8, -23, -0.024, 5? -0.024 Which is the closest to -8/5? (a) 2/19 (b) -0.3 (c) 387 (d) 112 b Which is the closest to -1/53? (a) -24 (b) -102 (c) 4 (d) -5 c Which is the closest to -42? (a) -5893 (b) -2 (c) 257 b What is the closest to -1 in -2/3, 1355978, -0.3? -2/3 Which is the nearest to 2.7? (a) 0.1 (b) -952 (c) 1/5 c What is the closest to -5/214 in -1/15604, -1/2, -4? -1/15604 Which is the closest to 1435612? (a) 21 (b) 5 (c) 2 (d) 1/2 a What is the closest to -1 in -4, -14/9, 19, 154/3? -14/9 Which is the closest to -1? (a) -37 (b) -28 (c) 155 (d) 2 (e) 21 (f) 0.3 f Which is the nearest to 44? (a) -5 (b) 3/8 (c) -5.9 b What is the nearest to 118 in 2/3, -14, -3, -4, -0.8, 0.05? 2/3 Which is the closest to 0.2? (a) -2/13 (b) -15.443 (c) -2/21 (d) -3/5 (e) -1 c What is the nearest to 2/7 in 2/17, 3112, 0.2? 0.2 What is the closest to 385945 in 10, 4, 3/8? 10 Which is the nearest to -7/3? (a) -701 (b) 1/4 (c) -4 (d) 5/6 (e) -0.01 c What is the closest to -85 in 1.6, 0.25, 0.6, 2/9, 1? 2/9 What is the closest to 2/21 in 0.97, 3/7, 0.01, -14.5? 0.01 Which is the closest to 29? (a) 3/2 (b) 4/3 (c) -6362 (d) -3/5 (e) 9 (f) -2/7 e What is the nearest to 2/11 in -20/11, -0.1, 2, -1? -0.1 What is the closest to -176/5 in -9/4, -283, -0.2, 0.2, 5? -9/4 Which is the closest to -3? (a) 1 (b) -42/437 (c) 3 (d) 2/7 (e) -8 (f) -5 f Which is the closest to -83? (a) 1/6 (b) 0 (c) -2/3 (d) 2 (e) 0.013 c What is the closest to -8 in 40.7, 95/8, 4, 0.1? 0.1 What is the nearest to 1 in 0.18, 3/11, 0.1, -31, 3/4? 3/4 What is the nearest to -1 in 1/4, -17550, 5, -5? 1/4 Which is the closest to 1? (a) 54/57005 (b) -3/7 (c) -1/10 a What is the nearest to 2/11 in 1/6, -1/115161, 5, -1/9? 1/6 What is the nearest to 0.122 in -1/1198, -0.003, 2? -1/1198 What is the closest to 0 in 0.1, 6, -1, -3, 0.5, -4455? 0.1 Which is the nearest to 0.15? (a) 4/7 (b) 5 (c) -32 (d) 0 (e) 0.07 e Which is the closest to 2? (a) 20 (b) -2/393 (c) 502 (d) -2 b Which is the closest to -199? (a) -0.1 (b) 1/12 (c) -74 (d) 0.4 (e) 0 c Which is the closest to -3? (a) 4607 (b) -0.91 (c) 2/3 b Which is the nearest to 2/11? (a) -19/14 (b) 32 (c) -1 c Which is the closest to -12? (a) 0.09 (b) 35/454 (c) 3 b What is the nearest to 2 in 1/3, -33, 798, -3? 1/3 What is the nearest to 3/10 in 22, -2, 0.3, 0.152, 1/3? 0.3 Which is the closest to -0.3? (a) -0.3 (b) 0.092 (c) 1 (d) 9 (e) 0.3 a Which is the closest to 2? (a) 28 (b) 2/9 (c) 2 (d) -0.36 (e) 0.5 c What is the closest to -1 in -0.04387, 9, -0.1? -0.1 What is the nearest to -3736 in -0.02, 211, -4/5? -4/
{ "pile_set_name": "DM Mathematics" }
acement from iniamiinnmiiiiaoam? 8/51 Calculate prob of picking 1 o, 1 f, and 1 g when three letters picked without replacement from {g: 2, l: 1, o: 1, f: 2, m: 1}. 4/35 Two letters picked without replacement from livigl. Give prob of picking 1 l and 1 g. 2/15 What is prob of picking 1 g and 1 j when two letters picked without replacement from jgmmghmjjm? 2/15 Three letters picked without replacement from ppapappp. Give prob of picking 2 p and 1 a. 15/28 Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {h: 1, e: 4, v: 5}. 4/45 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from vtmdm. 1/5 Two letters picked without replacement from {q: 6}. What is prob of picking 2 q? 1 Two letters picked without replacement from {a: 9, v: 2}. Give prob of picking 2 a. 36/55 What is prob of picking 2 z and 2 y when four letters picked without replacement from iyazyazaazaayzza? 3/182 What is prob of picking 1 z and 1 r when two letters picked without replacement from hzhhksrhzrkrsskh? 1/20 What is prob of picking 2 u and 2 r when four letters picked without replacement from {u: 3, k: 5, r: 1, y: 2, x: 6}? 0 Four letters picked without replacement from ooocooooocoococcoco. What is prob of picking 4 o? 715/3876 Calculate prob of picking 4 f when four letters picked without replacement from fuuuuuuuuuufuufuufuf. 1/969 Three letters picked without replacement from {b: 1, k: 1, n: 2}. What is prob of picking 1 k and 2 n? 1/4 Calculate prob of picking 1 t, 1 d, and 1 q when three letters picked without replacement from {v: 1, d: 3, m: 1, t: 3, e: 6, q: 1}. 9/455 What is prob of picking 1 r and 1 i when two letters picked without replacement from {l: 2, r: 3, o: 1, k: 4, i: 1}? 3/55 Four letters picked without replacement from azakzaakzp. What is prob of picking 3 a and 1 p? 2/105 Calculate prob of picking 1 o and 2 r when three letters picked without replacement from uuurruro. 3/56 Two letters picked without replacement from uuluuuuu. What is prob of picking 2 u? 3/4 Three letters picked without replacement from {p: 1, v: 1, r: 2, e: 2}. What is prob of picking 1 r, 1 e, and 1 p? 1/5 Two letters picked without replacement from hochhhhmhmdhmhhhc. What is prob of picking 1 c and 1 d? 1/68 What is prob of picking 2 p when two letters picked without replacement from {p: 2, r: 10, m: 6}? 1/153 What is prob of picking 2 c and 2 w when four letters picked without replacement from wwccw? 3/5 What is prob of picking 2 q, 1 j, and 1 e when four letters picked without replacement from cqceqhj? 1/35 Three letters picked without replacement from {d: 4, y: 5, l: 1}. What is prob of picking 2 d and 1 l? 1/20 Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {p: 10, d: 1, b: 1, j: 3, k: 5}. 1/38 Calculate prob of picking 3 r and 1 u when four letters picked without replacement from rrururrrururrr. 480/1001 Calculate prob of picking 2 y and 1 t when three letters picked without replacement from {t: 2, y: 2, n: 4, m: 1, p: 3}. 1/110 What is prob of picking 1 j and 2 t when three letters picked without replacement from {j: 5, t: 11}? 55/112 Three letters picked without replacement from tttllttttltt. Give prob of picking 3 t. 21/55 Two letters picked without replacement from {n: 6, v: 1, y: 2, l: 2, m: 3, a: 1}. What is prob of picking 1 y and 1 v? 2/105 Two letters picked without replacement from hhhllhhvhh. Give prob of picking 2 l. 1/45 What is prob of picking 1 r and 1 a when two letters picked without replacement from {p: 4, h: 1, a: 4, r: 1, v: 3, o: 2}? 4/105 Three letters picked without replacement from {t: 5, p: 5, u: 2, y: 2, x: 2, l: 1}. What is prob of picking 1 x and 2 y? 1/340 What is prob of picking 1 p, 2 u, and 1 b when four letters picked without replacement from {a: 1, b: 2, u: 2, s: 3, t: 3, p: 4}? 8/1365 Calculate prob of picking 3 r when three letters picked without replacement from {u: 5, r: 3}. 1/56 Calculate prob of picking 1 q and 3 g when four letters picked without replacement from vqgqqgvqqggighv. 10/273 Calculate prob of picking 2 u when two letters picked without replacement from bpuupubbpubuuuuuuju. 55/171 Calculate prob of picking 1 w, 1 o, and 2 q when four letters picked without replacement from {o: 2, z: 5, q: 5, m: 2, w: 5}. 25/969 Calculate prob of picking 1 u, 1 x, 1 k, and 1 i when four letters picked without replacement from ksulxxuli. 2/63 Two letters picked without replacement from {c: 9, z: 1, x: 4}. What is prob of picking 1 x and 1 c? 36/91 What is prob of picking 2 i when two letters picked without replacement from vvvimivvi? 1/12 Calculate prob of picking 3 j and 1 q when four letters picked without replacement from {q: 3, j: 5}. 3/7 Two letters picked without replacement from fsfofftofffs. Give prob of picking 1 t and 1 f. 7/66 Four letters picked without replacement from {z: 3, r: 7, v: 2}. Give prob of picking 1 v and 3 r. 14/99 Three letters picked without replacement from {s: 6, v: 2}. Give prob of picking 2 v and 1 s. 3/28 Four letters picked without replacement from mjmjkfqk. Give prob of picking 1 j, 2 m, and 1 f. 1/35 Calculate prob of picking 1 t and 2 k when three letters picked without replacement from ktktkkt. 18/35 Two letters picked without replacement from {h: 5, g: 3}. Give prob of picking 2 g. 3/28 What is prob of picking 2 q and 2 b when four letters picked without replacement from mvmmnqqynbmqmqbq? 1/182 Two letters picked without replacement from taqeeeezqaq. Give prob of picking 1 e and 1 t. 4/55 What is prob of picking 1 h and 2 b when three letters picked without replacement from svbgsbssbbvbghvb? 3/112 Two letters picked without replacement from {s: 9, x: 2}. Give prob of picking 2 x. 1/55 Two letters picked without replacement from {y: 3, d: 3, i: 4, x: 6, a: 2}. What is prob of picking 1 y and 1 x? 2/17 What is prob of picking 1 g and 2 x when three letters picked without replacement from {g: 8, v: 2, x: 2, d: 2}? 2/91 Four letters picked without replacement from {q: 1, t: 3, h: 3, x: 5}. What is prob of picking 2 x and 2 t? 2/33 Four letters picked without replacement from iiryixiiiriixiii. What is prob of picking 3 i and 1 y? 33/364 Two letters picked without replacement from {h: 4, a: 6, z: 1, g: 2, d: 1, x: 4}. What is prob of picking 1 d and 1 a? 2/51 Calculate prob of picking 2 s and 1 l when three letters picked without replacement from ssylylsyslsls. 30/143 Two letters picked without replacement from eeuueevuueueuvue. What is prob of picking 1 v and 1 e? 7/60 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from phphja. 2/15 Three letters picked without replacement from {q: 7, m: 9, u: 3}. Give prob of picking 3 m. 28/323 Two letters picked without replacement from svvuevssve. Give prob of picking 2 s. 1/15 What is prob of picking 1 u and 1 k when two letters picked without replacement from {u: 2, k: 2, x: 1, i: 1}? 4/15 Calculate prob of picking 2 a and 1 c when three letters picked without replacement from lasca. 1/10 Two letters picked without replacement from wwswswwwwswsws. What is prob of picking 1 s and 1 w? 45/91 Three letters picked without replacement from amammmmmcaamammamm. What is prob of picking 1 a and 2 m? 55/136 Two letters picked without replacement from {w: 1, u: 1, o: 1, n: 1, t: 3, m: 5}. What is prob of picking 1 u and 1 w? 1/66 Calculate prob of picking 2 q, 1 p, and 1 s when four letters picked without replacement from {p: 6, s: 4, q: 4}. 144/1001 Three letters picked without replacement from {f: 1, h: 7, y: 2, w: 8}. What is prob of picking 1 w, 1 y, and 1 f? 1/51 Four letters picked without replacement from jjxyyjxyyxxjjxxxx. What is prob of picking 3 x and 1 j? 2/17 Two letters picked without replacement from {b: 1, a: 1, q: 1, t: 2, n: 1, w: 1}. Give prob of picking 1 t and 1 b. 2/21 What is prob of picking 2 o when two letters picked without replacement from pooppppppppoqpqqop? 2/51 Three letters picked without replacement from {r: 3, e: 1, t: 2, v: 2, j: 4}. What is prob of picking 1 e and 2 v? 1/220 Four letters picked without replacement from {h: 1, x: 2, u: 1, d: 5, b: 1}. What is prob of picking 2 d and 2 x? 1/21 Two letters p
{ "pile_set_name": "DM Mathematics" }
ixty-seven fifths of a hour in minutes? 804 How many micrometers are there in 0.2041595 kilometers? 204159500 How many tonnes are there in 98165.12 grams? 0.09816512 How many months are there in 29/5 of a millennium? 69600 How many meters are there in fifteen quarters of a kilometer? 3750 How many centuries are there in six fifths of a millennium? 12 How many months are there in fifty-one halves of a decade? 3060 What is five eighths of a microsecond in nanoseconds? 625 How many years are there in 74.15239 millennia? 74152.39 How many milligrams are there in 13/5 of a gram? 2600 How many micrograms are there in 21221.85ng? 21.22185 How many hours are there in 10/21 of a week? 80 What is 2136.488 seconds in microseconds? 2136488000 What is fifty-three fifths of a milligram in micrograms? 10600 How many nanometers are there in 5681.436 micrometers? 5681436 How many decades are there in 660.4186 years? 66.04186 How many milligrams are there in three eighths of a gram? 375 Convert 2095.626 nanograms to tonnes. 0.000000000002095626 What is 24.825024 minutes in weeks? 0.0024628 What is 18/5 of a centimeter in micrometers? 36000 What is 32/5 of a decade in years? 64 How many micrograms are there in seven quarters of a milligram? 1750 What is 2.542563 kilograms in grams? 2542.563 How many milligrams are there in 9/10 of a gram? 900 How many nanometers are there in 21/2 of a micrometer? 10500 How many months are there in 7/2 of a century? 4200 How many millimeters are there in 3/5 of a centimeter? 6 How many kilometers are there in 74998.85um? 0.00007499885 What is 5/4 of a day in hours? 30 How many weeks are there in 290245.032 microseconds? 0.0000004799025 How many milligrams are there in fourty-five eighths of a gram? 5625 What is 3/5 of a decade in months? 72 What is one fifth of a century in years? 20 Convert 247.4695 years to millennia. 0.2474695 What is 8736.968km in nanometers? 8736968000000000 What is 19270.05 decades in centuries? 1927.005 Convert 204.8852 millennia to decades. 20488.52 Convert 5.795537 kilograms to nanograms. 5795537000000 What is 11/4 of a gram in milligrams? 2750 How many microseconds are there in 6/5 of a millisecond? 1200 How many milligrams are there in three fifths of a gram? 600 Convert 5351.406ml to litres. 5.351406 What is seven quarters of a day in hours? 42 How many minutes are there in 1/96 of a week? 105 How many litres are there in 929.8877 millilitres? 0.9298877 How many grams are there in five quarters of a kilogram? 1250 How many micrometers are there in thirty-one halves of a millimeter? 15500 How many months are there in twenty-three thirds of a century? 9200 How many hours are there in 1589.936 weeks? 267109.248 What is 165549.7 litres in millilitres? 165549700 What is five quarters of a milligram in micrograms? 1250 What is one tenth of a tonne in grams? 100000 What is 3/5 of a century in months? 720 Convert 1696.102ml to litres. 1.696102 What is six fifths of a millimeter in micrometers? 1200 What is eleven halves of a litre in millilitres? 5500 What is 3.4086045 hours in weeks? 0.0202893125 What is 5937.86 kilometers in meters? 5937860 What is 11/8 of a day in minutes? 1980 Convert 2589.57m to nanometers. 2589570000000 How many kilograms are there in twenty-nine fifths of a tonne? 5800 What is twenty-nine sixths of a minute in seconds? 290 What is 7/4 of a litre in millilitres? 1750 Convert 28.55695 centuries to decades. 285.5695 What is 7.945944 seconds in milliseconds? 7945.944 How many nanoseconds are there in 4.558411 milliseconds? 4558411 What is 6/25 of a litre in millilitres? 240 What is 687067.2 years in months? 8244806.4 Convert 6.524145ml to litres. 0.006524145 How many centuries are there in 4402.747 millennia? 44027.47 Convert 29.244 grams to nanograms. 29244000000 How many centimeters are there in 6668.238 micrometers? 0.6668238 Convert 67041.02 micrograms to tonnes. 0.00000006704102 What is thirteen eighths of a litre in millilitres? 1625 What is fourty-two fifths of a millisecond in microseconds? 8400 How many millilitres are there in three tenths of a litre? 300 How many grams are there in 11/4 of a kilogram? 2750 How many grams are there in twenty-five eighths of a kilogram? 3125 How many centimeters are there in one twentieth of a kilometer? 5000 How many decades are there in 6/5 of a century? 12 What is 1/5 of a tonne in kilograms? 200 What is 931.9919ug in kilograms? 0.0000009319919 What is 51/5 of a litre in millilitres? 10200 Convert 445.5242ml to litres. 0.4455242 How many litres are there in 57.99138 millilitres? 0.05799138 What is 17/2 of a meter in millimeters? 8500 Convert 150.138ng to kilograms. 0.000000000150138 What is 7/15 of a decade in months? 56 What is thirteen twelths of a minute in seconds? 65 What is one twentieth of a millennium in years? 50 How many weeks are there in 324.878715us? 0.0000000005371671875 How many hours are there in 2/7 of a week? 48 Convert 711.4398 years to decades. 71.14398 How many millimeters are there in 1/10 of a meter? 100 What is fourty-six fifths of a kilometer in meters? 9200 Convert 2626.206 milligrams to grams. 2.626206 Convert 0.4495474 centuries to decades. 4.495474 Convert 556203.6 months to years. 46350.3 How many months are there in 0.6805038 centuries? 816.60456 Convert 5.55122 meters to centimeters. 555.122 What is 3/5 of a millennium in years? 600 What is 27/2 of a hour in minutes? 810 What is 594.5726 nanoseconds in seconds? 0.0000005945726 How many millilitres are there in thirty-four fifths of a litre? 6800 Convert 4.797996 weeks to hours. 806.063328 What is 0.5665956 weeks in days? 3.9661692 What is 16.601364 months in millennia? 0.001383447 Convert 7239.39 centuries to years. 723939 Convert 0.0317583nm to centimeters. 0.00000000317583 How many micrometers are there in 0.8626471m? 862647.1 What is 494736.2l in millilitres? 494736200 What is 17/2 of a decade in months? 1020 How many days are there in 1490.00688ms? 0.00001724545 What is eighteen sevenths of a week in minutes? 25920 Convert 192394.86 nanoseconds to minutes. 0.000003206581 How many seconds are there in 59.5054 days? 5141266.56 What is 720.6272cm in meters? 7.206272 How many minutes are there in 7/3 of a hour? 140 What is five eighths of a litre in millilitres? 625 How many minutes are there in four thirds of a hour? 80 How many millilitres are there in 26.81556 litres? 26815.56 Convert 48229.33 kilograms to grams. 48229330 Convert 831.9401 decades to months. 99832.812 How many minutes are there in twenty-one quarters of a hour? 315 How many micrograms are there in thirteen fifths of a milligram? 2600 What is fourty-five quarters of a century in months? 13500 How many kilograms are there in thirteen fifths of a tonne? 2600 What is 0.1907656 nanometers in micrometers? 0.0001907656 What is 21/2 of a litre in millilitres? 10500 How many micrometers are there in 53440.41mm? 53440410 How many grams are there in 18/5 of a kilogram? 3600 What is twenty-five quarters of a litre in millilitres? 6250 What is 11/10 of a meter in millimeters? 1100 How many hours are there in 1/28 of a week? 6 What is 73/5 of a litre in millilitres? 14600 What is 3/10 of a minute in milliseconds? 18000 How many nanograms are there in 59/5 of a microgram? 11800 How many meters are there in 343193.6 micrometers? 0.3431936 Convert 4795.361t to grams. 4795361000 How many nanograms are there in fifty-five halves of a microgram? 27500 What is 3942.764m in nanometers? 3942764000000 What is fifty-eight ninths of a day in minutes? 9280 How many grams are there in 209547.1 nanograms? 0.0002095471 How many millimeters are there in 2833.543cm? 28335.43 What is 3/5 of a litre in millilitres? 600 Convert 230.8165ng to milligrams. 0.0002308165 What is 83.3142 millilitres in litres? 0.0833142 What is 0.2396616nm in centimeters? 0.00000002396616 What is 6.342121cm in nanometers? 63421210 Convert 14.53045l to millilitres. 14530.45 What is four fifteenths of a hour in seconds? 960 Convert 0.6584149cm to micrometers. 6584.149 How many millimeters are there in 68.2786 kilometers? 68278600 What is 9551.134ms in seconds? 9.551134 How many grams are there in 740.0575ng? 0.0000007400575 What is fifty-one quarte
{ "pile_set_name": "DM Mathematics" }
of 6445. 5, 1289 List the prime factors of 86172. 2, 3, 43, 167 List the prime factors of 312. 2, 3, 13 List the prime factors of 25738. 2, 17, 757 List the prime factors of 2518. 2, 1259 What are the prime factors of 79201? 79201 List the prime factors of 420. 2, 3, 5, 7 What are the prime factors of 19438? 2, 9719 What are the prime factors of 7489? 7489 What are the prime factors of 7682? 2, 23, 167 What are the prime factors of 57821? 67, 863 List the prime factors of 33. 3, 11 List the prime factors of 8471. 43, 197 List the prime factors of 1651. 13, 127 What are the prime factors of 1414? 2, 7, 101 What are the prime factors of 512? 2 What are the prime factors of 1512? 2, 3, 7 What are the prime factors of 134040? 2, 3, 5, 1117 What are the prime factors of 65735? 5, 13147 List the prime factors of 91878. 2, 3, 15313 List the prime factors of 4186. 2, 7, 13, 23 What are the prime factors of 128? 2 What are the prime factors of 520? 2, 5, 13 What are the prime factors of 68011? 23, 2957 What are the prime factors of 1431? 3, 53 What are the prime factors of 2674? 2, 7, 191 List the prime factors of 155896. 2, 13, 1499 What are the prime factors of 559? 13, 43 List the prime factors of 23286. 2, 3, 3881 What are the prime factors of 722? 2, 19 What are the prime factors of 156? 2, 3, 13 What are the prime factors of 16719? 3, 5573 List the prime factors of 639. 3, 71 What are the prime factors of 57? 3, 19 What are the prime factors of 25592? 2, 7, 457 What are the prime factors of 27847? 27847 What are the prime factors of 1510? 2, 5, 151 List the prime factors of 25368. 2, 3, 7, 151 List the prime factors of 2615. 5, 523 List the prime factors of 1706. 2, 853 List the prime factors of 17414. 2, 8707 What are the prime factors of 83? 83 List the prime factors of 91027. 227, 401 List the prime factors of 66525. 3, 5, 887 What are the prime factors of 2933? 7, 419 List the prime factors of 837. 3, 31 What are the prime factors of 1502? 2, 751 List the prime factors of 67230. 2, 3, 5, 83 What are the prime factors of 38696? 2, 7, 691 List the prime factors of 4418. 2, 47 What are the prime factors of 728? 2, 7, 13 What are the prime factors of 22680? 2, 3, 5, 7 List the prime factors of 13474. 2, 6737 List the prime factors of 2957. 2957 List the prime factors of 9292. 2, 23, 101 List the prime factors of 6612. 2, 3, 19, 29 List the prime factors of 93565. 5, 18713 What are the prime factors of 12599? 43, 293 List the prime factors of 3097. 19, 163 List the prime factors of 374. 2, 11, 17 List the prime factors of 16739. 19, 881 List the prime factors of 4323. 3, 11, 131 List the prime factors of 1437. 3, 479 List the prime factors of 2512. 2, 157 List the prime factors of 1468. 2, 367 List the prime factors of 5624. 2, 19, 37 List the prime factors of 1063. 1063 List the prime factors of 24245. 5, 13, 373 List the prime factors of 60143. 137, 439 List the prime factors of 11954. 2, 43, 139 What are the prime factors of 292? 2, 73 What are the prime factors of 1800? 2, 3, 5 What are the prime factors of 43402? 2, 21701 List the prime factors of 8545. 5, 1709 What are the prime factors of 5993? 13, 461 List the prime factors of 1903. 11, 173 What are the prime factors of 2740? 2, 5, 137 List the prime factors of 252. 2, 3, 7 List the prime factors of 31. 31 What are the prime factors of 10377? 3, 1153 List the prime factors of 11831. 11831 List the prime factors of 582. 2, 3, 97 What are the prime factors of 496? 2, 31 List the prime factors of 11067. 3, 7, 17, 31 What are the prime factors of 750? 2, 3, 5 List the prime factors of 1885. 5, 13, 29 List the prime factors of 833. 7, 17 What are the prime factors of 30194? 2, 31, 487 List the prime factors of 1918. 2, 7, 137 What are the prime factors of 2492? 2, 7, 89 List the prime factors of 5050. 2, 5, 101 What are the prime factors of 39445? 5, 7, 23 What are the prime factors of 2061? 3, 229 List the prime factors of 2924. 2, 17, 43 What are the prime factors of 9? 3 List the prime factors of 2159. 17, 127 List the prime factors of 431. 431 List the prime factors of 2836. 2, 709 What are the prime factors of 3047? 11, 277 List the prime factors of 13199. 67, 197 List the prime factors of 93393. 3, 1153 List the prime factors of 14477. 31, 467 List the prime factors of 623. 7, 89 List the prime factors of 1749. 3, 11, 53 List the prime factors of 38379. 3, 11, 1163 List the prime factors of 767. 13, 59 List the prime factors of 1356. 2, 3, 113 What are the prime factors of 4605? 3, 5, 307 What are the prime factors of 100? 2, 5 What are the prime factors of 576? 2, 3 List the prime factors of 18109. 7, 13, 199 List the prime factors of 3145. 5, 17, 37 What are the prime factors of 36877? 36877 List the prime factors of 34449. 3, 11483 What are the prime factors of 1160? 2, 5, 29 List the prime factors of 834. 2, 3, 139 List the prime factors of 3797. 3797 What are the prime factors of 39002? 2, 19501 List the prime factors of 18976. 2, 593 List the prime factors of 27035. 5, 5407 List the prime factors of 20448. 2, 3, 71 List the prime factors of 20920. 2, 5, 523 What are the prime factors of 1684? 2, 421 List the prime factors of 216. 2, 3 What are the prime factors of 997? 997 What are the prime factors of 5674? 2, 2837 List the prime factors of 12779. 13, 983 List the prime factors of 17516. 2, 29, 151 List the prime factors of 3914. 2, 19, 103 List the prime factors of 1370. 2, 5, 137 List the prime factors of 1706. 2, 853 What are the prime factors of 740? 2, 5, 37 What are the prime factors of 1471? 1471 What are the prime factors of 331? 331 What are the prime factors of 2195? 5, 439 List the prime factors of 334. 2, 167 List the prime factors of 2699. 2699 List the prime factors of 1805. 5, 19 What are the prime factors of 104566? 2, 7, 11, 97 List the prime factors of 109144. 2, 7, 1949 What are the prime factors of 2636? 2, 659 List the prime factors of 1033. 1033 List the prime factors of 17195. 5, 19, 181 What are the prime factors of 836? 2, 11, 19 What are the prime factors of 2377? 2377 What are the prime factors of 832? 2, 13 List the prime factors of 94634. 2, 47317 List the prime factors of 304. 2, 19 What are the prime factors of 10261? 31, 331 What are the prime factors of 18981? 3, 19, 37 What are the prime factors of 3621? 3, 17, 71 List the prime factors of 3398. 2, 1699 What are the prime factors of 14064? 2, 3, 293 What are the prime factors of 10251? 3, 17, 67 What are the prime factors of 2036? 2, 509 What are the prime factors of 525? 3, 5, 7 What are the prime factors of 5574? 2, 3, 929 What are the prime factors of 523? 523 What are the prime factors of 164925? 3, 5, 733 What are the prime factors of 7494? 2, 3, 1249 What are the prime factors of 21085? 5, 4217 What are the prime factors of 43236? 2, 3, 1201 What are the prime factors of 17014? 2, 47, 181 What are the prime factors of 1853? 17, 109 What are the prime factors of 2764? 2, 691 List the prime factors of 14860. 2, 5, 743 What are the prime factors of 80135? 5, 11, 31, 47 List the prime factors of 23926. 2, 7, 1709 List the prime factors of 7641. 3, 283 What are the prime factors of 46135? 5, 9227 List the prime factors of 1621. 1621 What are the prime factors of 485? 5, 97 List the prime factors of 132. 2, 3, 11 What are the prime factors of 14031? 3, 1559 List the prime factors of 7027. 7027 What are the prime factors of 19326? 2, 3, 3221 What are the prime factors of 465? 3, 5, 31 What are the prime factors of 2413? 19, 127 List the prime factors of 1224. 2, 3, 17 What are the prime factors of 3433? 3433 List the prime factors of 65389. 23, 2843 What are the prime factors of 2603? 19, 137 List the prime factors of 662. 2, 331 What are the prime factors of 2294? 2, 31, 37 List the prime factors of 9904. 2, 619 List the prime factors of 14841. 3, 17, 97 List the prime factors of 1353. 3, 11, 41 What are the prime factors of 4014? 2, 3, 223 What are the prime factors of 26484? 2, 3, 2207 What are the prime factors of 2095? 5, 419 What are the prime factors of 28516? 2, 7129 List the prime factors of 1629. 3, 181 List the prime factors of 17208. 2, 3, 239 List the prime factors of 5058. 2, 3, 2
{ "pile_set_name": "DM Mathematics" }
acement from {d: 2, q: 3, t: 1, m: 2, e: 2, k: 4}. What is prob of sequence eek? 1/273 Two letters picked without replacement from {l: 2, n: 2, d: 1}. Give prob of sequence ll. 1/10 Three letters picked without replacement from {a: 3, x: 2, i: 1, c: 5, s: 1, b: 1}. What is prob of sequence xis? 1/858 Calculate prob of sequence nwf when three letters picked without replacement from juujufjuwuwwnvv. 1/910 What is prob of sequence lzlg when four letters picked without replacement from ozdglgogeooglooggdo? 1/7752 Calculate prob of sequence qav when three letters picked without replacement from {v: 2, q: 4, a: 10, x: 1}. 1/51 Four letters picked without replacement from {s: 5, p: 2, f: 1, d: 3, i: 1}. Give prob of sequence sfsi. 1/594 Calculate prob of sequence kkz when three letters picked without replacement from {w: 4, z: 4, k: 9}. 6/85 What is prob of sequence bq when two letters picked without replacement from nggbqggbqq? 1/15 Four letters picked without replacement from {u: 7, t: 4}. Give prob of sequence tutu. 7/110 Four letters picked without replacement from {t: 1, k: 3, m: 1, a: 2, v: 4}. What is prob of sequence vavv? 1/165 What is prob of sequence yy when two letters picked without replacement from {y: 6, m: 4}? 1/3 Calculate prob of sequence mg when two letters picked without replacement from {m: 14, j: 1, g: 1}. 7/120 Two letters picked without replacement from etoqovevvao. Give prob of sequence vt. 3/110 What is prob of sequence bbbt when four letters picked without replacement from btbnnbllblnbbblllb? 7/1530 Four letters picked without replacement from {z: 7, k: 1, w: 3, j: 1, e: 7}. Give prob of sequence kzzw. 7/5168 Three letters picked without replacement from {c: 2, f: 1, e: 3, h: 3, m: 1, x: 1}. Give prob of sequence mee. 1/165 Two letters picked without replacement from fdfaffaafahdaaab. What is prob of sequence ha? 7/240 Two letters picked without replacement from {g: 5, e: 3, t: 1}. Give prob of sequence gt. 5/72 Calculate prob of sequence mg when two letters picked without replacement from {m: 2, g: 16}. 16/153 Four letters picked without replacement from yezdddeededden. What is prob of sequence dzye? 5/4004 What is prob of sequence zzk when three letters picked without replacement from rekkzzkzrgeb? 3/220 Two letters picked without replacement from {l: 1, k: 1, z: 1, d: 1, s: 1}. What is prob of sequence ds? 1/20 Four letters picked without replacement from yixyysxisyyyyxys. What is prob of sequence yyxi? 1/130 Two letters picked without replacement from {u: 2, l: 5}. What is prob of sequence ul? 5/21 Three letters picked without replacement from {j: 2, f: 4, p: 12, s: 1}. Give prob of sequence psj. 4/969 What is prob of sequence qfy when three letters picked without replacement from {y: 1, f: 2, q: 2, h: 4, d: 6}? 2/1365 Calculate prob of sequence uq when two letters picked without replacement from {q: 2, t: 2, u: 6, r: 1, b: 1}. 1/11 Four letters picked without replacement from {p: 4, j: 8, d: 2, o: 1}. Give prob of sequence pojp. 4/1365 Calculate prob of sequence ezee when four letters picked without replacement from {z: 7, e: 9}. 21/260 Calculate prob of sequence zkms when four letters picked without replacement from mmzomskmm. 5/3024 Two letters picked without replacement from pzooppqpzqzqqqqqqqq. Give prob of sequence zp. 2/57 Four letters picked without replacement from {g: 3, c: 5, a: 3, d: 1}. Give prob of sequence gdga. 1/660 What is prob of sequence epur when four letters picked without replacement from {p: 1, u: 1, r: 1, e: 2}? 1/60 What is prob of sequence pkpk when four letters picked without replacement from {p: 15, k: 3}? 7/408 Two letters picked without replacement from whuzzlhgg. Give prob of sequence zl. 1/36 What is prob of sequence kzkk when four letters picked without replacement from zzzzzzkkkkzzzzzzzkzz? 5/646 Three letters picked without replacement from bxvrrrvxvrx. What is prob of sequence vbr? 2/165 Three letters picked without replacement from eueeeeseesessubee. Give prob of sequence uee. 3/68 Four letters picked without replacement from ywyyywynyypppyyyyc. What is prob of sequence yywy? 11/408 What is prob of sequence cf when two letters picked without replacement from fbfbffbbcc? 4/45 Two letters picked without replacement from vowda. What is prob of sequence ad? 1/20 Four letters picked without replacement from bbbbbbbbb. What is prob of sequence bbbb? 1 Calculate prob of sequence jt when two letters picked without replacement from {t: 7, b: 1, j: 5, h: 1}. 5/26 Four letters picked without replacement from {c: 1, x: 2, z: 3, d: 1, e: 3}. What is prob of sequence deex? 1/420 What is prob of sequence zp when two letters picked without replacement from {n: 2, p: 4, l: 5, z: 4, o: 2}? 1/17 Four letters picked without replacement from sasasish. Give prob of sequence ssah. 1/70 Four letters picked without replacement from ekeeeeeekeeekkeeeeee. Give prob of sequence eeee. 364/969 Two letters picked without replacement from xxyy. Give prob of sequence xx. 1/6 Two letters picked without replacement from ffrefeoraoofaraf. What is prob of sequence ar? 3/80 Two letters picked without replacement from mbubebbbwba. Give prob of sequence bm. 3/55 What is prob of sequence mi when two letters picked without replacement from qmqoi? 1/20 Three letters picked without replacement from eeeeeweew. What is prob of sequence wee? 1/6 What is prob of sequence jii when three letters picked without replacement from {i: 3, t: 1, j: 6, b: 2, r: 2, q: 4}? 1/136 Two letters picked without replacement from ckciivcidke. Give prob of sequence ed. 1/110 Two letters picked without replacement from {s: 1, r: 1, w: 1, i: 2, p: 1, x: 1}. Give prob of sequence xp. 1/42 Two letters picked without replacement from {w: 2, a: 1, d: 1}. What is prob of sequence wa? 1/6 What is prob of sequence glmg when four letters picked without replacement from mllmmlzgmgmmmllgz? 1/272 What is prob of sequence dr when two letters picked without replacement from {d: 5, r: 5, f: 1}? 5/22 Two letters picked without replacement from aaaaaaaaaagaa. What is prob of sequence ga? 1/13 Four letters picked without replacement from oppppppoopoppooo. Give prob of sequence opoo. 9/208 Three letters picked without replacement from zieekkfkzk. Give prob of sequence ezz. 1/180 Four letters picked without replacement from zccc. What is prob of sequence cczc? 1/4 What is prob of sequence zt when two letters picked without replacement from {z: 3, b: 2, t: 2, k: 2}? 1/12 Calculate prob of sequence uxk when three letters picked without replacement from xkuxxxxkxkkux. 14/429 Two letters picked without replacement from ccevx. Give prob of sequence xe. 1/20 What is prob of sequence hohf when four letters picked without replacement from fdhdfmimohdfhdd? 1/1820 Calculate prob of sequence pp when two letters picked without replacement from sfpsfsffsfpnsfff. 1/120 Two letters picked without replacement from {q: 2, j: 4}. What is prob of sequence qq? 1/15 Calculate prob of sequence lff when three letters picked without replacement from {f: 1, l: 3, a: 1, p: 1, r: 3, g: 2}. 0 What is prob of sequence voz when three letters picked without replacement from {w: 1, v: 1, m: 1, z: 1, o: 1}? 1/60 Four letters picked without replacement from peqpppeeqqapp. Give prob of sequence pqqe. 9/1430 Calculate prob of sequence shgh when four letters picked without replacement from uhhsgghhhhhauh. 2/429 Calculate prob of sequence jj when two letters picked without replacement from {j: 17, d: 3}. 68/95 What is prob of sequence vh when two letters picked without replacement from rsvsqqrvssushsssqs? 1/153 Four letters picked without replacement from drrdrrrr. Give prob of sequence rdrd. 1/28 Two letters picked without replacement from {i: 1, d: 2, k: 3, j: 1}. Give prob of sequence kj. 1/14 Calculate prob of sequence kr when two letters picked without replacement from krrkwkkwr. 1/6 Four letters picked without replacement from {s: 7, t: 4, j: 5}. Give prob of sequence sjsj. 1/52 What is prob of sequence no when two letters picked without replacement from ogoghhongq? 1/30 What is prob of sequence xr when two letters picked without replacement from rrxr? 1/4 Calculate prob of sequence ii when two l
{ "pile_set_name": "DM Mathematics" }
Let l(w) = -25*w**4 - 8*w**3 + 8*w + 6. Let v(p) = -8*g(p) - 5*l(p). Find the first derivative of v(k) wrt k. -44*k**3 Find the third derivative of 4*i**4 + 13*i**2 + 10*i**2 + 9*i**2 - 34*i**2 wrt i. 96*i Let y(z) = -3*z**4 + 4*z**3 - z + 4. Let j(n) = -4*n**4 + 3*n**3 + 3. Let a(r) = 4*j(r) - 3*y(r). Find the second derivative of a(w) wrt w. -84*w**2 Let c = 0 + 1. Suppose c + 5 = d. Find the third derivative of 2*b**2 - 4*b**d + b**6 - 6*b**2 wrt b. -360*b**3 What is the first derivative of 2 - 13*t**2 - 1 + 3 wrt t? -26*t Let s(f) = -f**2 - 5*f + 3. Let o(r) = r**2 + 3*r - 2. Let i be (2 + 0)*(-10)/4. Let l(n) = i*o(n) - 3*s(n). Find the first derivative of l(d) wrt d. -4*d Suppose -5*p = -2*p - 6. What is the derivative of -1 + 3*b**2 - 1 - 2*b**p + 0 wrt b? 2*b Let c(z) be the second derivative of z**4/4 - 2*z**2 - 2*z. Differentiate c(o) wrt o. 6*o Let j(f) be the third derivative of 0*f**4 + 0*f + 1/6*f**3 - f**2 + 1/60*f**5 + 0. Find the first derivative of j(b) wrt b. 2*b What is the first derivative of -4 - 272*m - 2 + 292*m wrt m? 20 Let d(v) be the first derivative of -2*v**5/5 - 4*v**3 + 2. What is the third derivative of d(c) wrt c? -48*c Suppose -5*s + 14 + 1 = -5*f, 5*s + 5*f = 35. Suppose -2*c - 3*c + s = 0. What is the first derivative of p + 2*p**2 - c - p wrt p? 4*p Let n(u) be the second derivative of -u**6/24 - u**5/15 + 2*u**2 - u. Let l(d) be the first derivative of n(d). What is the third derivative of l(h) wrt h? -30 Find the second derivative of 5*s**5 + 7*s - s - 3*s**5 + s**5 wrt s. 60*s**3 Let q = 8 + 0. Suppose 0*j + 3*j = -k + 8, -j = 3*k - q. What is the derivative of -2*a + 0 + a + k wrt a? -1 Suppose -3*o + 1 - 10 = 0. Let c = 9 + o. Find the third derivative of 2*g**2 + 3*g**6 + 0*g**2 - g**c wrt g. 240*g**3 Let o(f) = 9*f**5 + 6*f**3 - f**2 - 6. Let y(b) = 35*b**5 + 25*b**3 - 5*b**2 - 25. Let z(g) = 25*o(g) - 6*y(g). Find the third derivative of z(l) wrt l. 900*l**2 Let d be 1 - 0 - (5 + 3). Let x = -4 - d. Find the third derivative of 2*o**3 + 5*o**2 - x*o**2 + 0*o**3 wrt o. 12 Let a(u) be the third derivative of u**7/70 - u**5/60 - 13*u**4/8 + 2*u**2 + 6. Find the third derivative of a(j) wrt j. 72*j Suppose 0 = -w - 4*j + 11 + 10, -2*j = -w - 3. Let c = -2 + w. Find the second derivative of -6*p**2 + 0*p**2 - c*p + 3*p**2 wrt p. -6 Find the third derivative of 0*c**6 - 3*c**2 - 4*c**2 + 7*c**6 - 4*c**6 wrt c. 360*c**3 Let l(p) be the third derivative of -p**6/120 - p**5/30 + p**4/24 - p**3/2 - p**2. Let k be l(-3). What is the derivative of -3*w**3 + 0 + 1 + w**k wrt w? -6*w**2 Let p(o) = -o - 1. Let f be p(-6). Suppose -a + f = 4*a. What is the first derivative of -1 + 0*y**4 + 2*y**4 - a wrt y? 8*y**3 Let z(m) be the first derivative of -4/3*m**3 - 2 + 0*m**5 - 1/6*m**6 + 0*m**2 + 0*m + 0*m**4. Find the third derivative of z(i) wrt i. -60*i**2 Let v be (12/10)/(1/5). What is the second derivative of -v*g + 2*g**4 - g**4 + 2*g**4 + 3*g wrt g? 36*g**2 Let q be (-16)/(-10)*15/6. Differentiate 2*o**q + 0*o**4 + 3 - 2 - 3 wrt o. 8*o**3 Let t be -1*130/(4/(-2)). Find the third derivative of -65 + t - x**2 - 5*x**4 wrt x. -120*x Let a(r) = 42*r**4 + 20*r**2 + 7. Let f(x) = -14*x**4 - 7*x**2 - 2. Let q(y) = -2*a(y) - 7*f(y). What is the third derivative of q(k) wrt k? 336*k Let k(z) be the second derivative of 5*z**8/8 + 5*z**4/4 + 39*z. Find the third derivative of k(v) wrt v. 4200*v**3 Let r(k) = k**3 + k**2 + k + 1. Let x(n) = 29*n**4 + n**3 + n**2 + 20*n + 1. Let f(u) = -r(u) + x(u). Find the second derivative of f(y) wrt y. 348*y**2 Let s(p) be the third derivative of -p**5/60 + 3*p**4/8 + p**3/2 - p**2. Let z be s(9). What is the first derivative of 0 + z + 0 + 0 + j wrt j? 1 What is the third derivative of -14*b**6 - 9*b**2 - 11*b**2 - 7*b**2 + 10*b**2 wrt b? -1680*b**3 Let s(r) be the first derivative of -r**6/5 - 2*r**2 - 2*r - 6. Let w(f) be the first derivative of s(f). Differentiate w(k) wrt k. -24*k**3 Let k be (3/(-2))/((-3)/6). What is the second derivative of 8*m**5 + 4*m**5 + 6*m - k*m**5 + m**5 wrt m? 200*m**3 What is the derivative of 7*m**2 - 8 + 2 - 15 wrt m? 14*m Let m(a) = 3*a - 4. Let j be m(3). Suppose j = -p + 2*p. What is the third derivative of -2*u**2 + u**3 - p*u + 5*u wrt u? 6 Let j(f) = f**2 + f + 1. Let k(c) = -6*c**4 - 2*c**2 + 3*c - 2. Let z(p) = -2*j(p) - k(p). Find the second derivative of z(w) wrt w. 72*w**2 Let d(y) be the third derivative of y**7/105 + y**4/6 - 3*y**2. Find the second derivative of d(s) wrt s. 24*s**2 Let w(l) = l. Let c be -2 + 0 + 2 - 1. Let j(i) = -i**3 - 4*i + 2. Let f(m) = c*j(m) - 4*w(m). Differentiate f(p) with respect to p. 3*p**2 Let u = 5 - 2. Find the third derivative of u*q**5 - 2*q**2 + 4*q**2 + 0*q**5 - 3*q**2 wrt q. 180*q**2 Let g = -275/12 - -23. Let t(y) be the third derivative of 0 - g*y**4 + 0*y + 0*y**3 + 1/60*y**5 + 2*y**2. What is the second derivative of t(v) wrt v? 2 Let h(p) be the first derivative of 0*p**4 + 4*p - 2/5*p**5 + 1 + 0*p**3 + 0*p**2. Differentiate h(d) wrt d. -8*d**3 Let g(n) be the third derivative of n**3/6 + n**2. Let k(t) = 2*t**2 - 4. Let b be ((-4)/(-10))/((-7)/35). Let p(u) = b*g(u) - k(u). Differentiate p(c) wrt c. -4*c Let b(p) = 5*p - 5. Let z(k) = -6*k + 6. Let o(n) = -4*b(n) - 3*z(n). What is the first derivative of o(d) wrt d? -2 Let x(v) = -4*v. Let h be x(3). Let q = h + 17. What is the third derivative of 7*z**q - 4*z**5 - z**2 + 2*z**2 wrt z? 180*z**2 Suppose -2*j + 16 = 4*v, 3*j + 0*j + 5*v - 21 = 0. What is the third derivative of -3*h**5 + 2*h**2 + 4*h**5 + 0*h**j wrt h? 60*h**2 Let k(n) = 4*n - 6. Let o be k(3). What is the third derivative of o*x**2 + 4*x**6 + 0*x**2 + 3*x**6 wrt x? 840*x**3 Let g(q) be the second derivative of -q**4/3 + 6*q**2 + q + 1. Find the first derivative of g(r) wrt r. -8*r Let v(k) be the first derivative of 0*k**2 + 0*k - 2 + 1/3*k**3 - 2/5*k**5 + 0*k**4. Find the third derivative of v(z) wrt z. -48*z Suppose -5*b + 6 = -4. Let q(l) be the second derivative of b*l - l**2 - 1/6*l**3 + 0. Differentiate q(t) wrt t. -1 Let v = 4 - 1. Let s(t) = -t**2 - 1. Let j(h) = 0*h**2 - 2*h**2 - 2 + 1. Let u(z) = v*j(z) - 5*s(z). What is the first derivative of u(q) wrt q? -2*q Suppose 5*i + 0 = 10. Let b = i - -1. Find the third derivative of -2*l**4 + 3*l - l**2 - b*l wrt l. -48*l Find the third derivative of -7*u**4 + 158*u**3 - 14*u**2 - 158*u**3 wrt u. -168*u What is the third derivative of 12*u**5 + 23*u - 23*u - 9*u**2 wrt u? 720*u**2 Suppose 5*n - 52 = k + 26, 0 = 2*n + 5*k - 15. Suppose -2*j - 2*j = -5*b + n, -3*b + 9 = -j. What is the second derivative of -2*u + 4*u + j*u - u**4 wrt u? -12*u**2 Let h(q) = q**2 - 2*q - 1. Let y be h(3). Let d be (0 + 0)/(y - -1). Find the second derivative of 3*b - 15*b**2 + d*b + 13*b**2 wrt b. -4 Let j(q) = q**3 + 3*q**2 - q - 1. Let o(p) = -p + 1. Let f be o(4). Let u be j(f). What is the third derivative of 3*y**2 - 3*y**2 + y**u + 2*y**5 wrt y? 120*y**2 Let n = -24/7 - -69/14. Let z(u) be the first derivative of -n*u**2 + 0*u - 1 + u**3. What is the second derivative of z(x) wrt x? 6 What is the derivative of 4 + 3*w**2 - 6*w**2 - 4 - 1 wrt w? -6*w Suppose 0 = 3*f + 4*s + 10, -4*f + s - 4*s - 4 = 0. What is the third derivative of 2*v**2 - v**4 + 0*v**4 - 5*v**f - 2*v**2 wrt v? -24*v Let a(x) be the second derivative of -1/6*x**4 + 0*x**6 + 1/28*x**8 + 0*x**3 + 0*x**7 + 0*x**5 + 0 + 2*x + 0*x**2. What is the third derivative of a(d) wrt d? 240*d**3 Let q(i) be the third derivative of i**5/30 + 11*i**3/6 + 2*i**2. Let m(s) = -s**2 - 10. Let a(k) = -6*m(k) - 5*q(k). What is the derivative of a(f) wrt f? -8*f Let o = -2 - -6. Let u = o - 1. Find the second derivative of -3*h + 2*h**u + h + 4*h wrt h. 12*h Suppose 138 = 4*s - 54. Find the second derivative of -44*a - 3*a**4 - 2*a**4 + s*a wrt a. -60*a**2 Let j(m) = -5*m**3 - 8*m**2 + 6. Let l(r) = -4*r**3 - 8*r**2 + 5. Let f(y) = -5*j(y) + 6*l(y). Find the third derivative of f(z) wrt z. 6 Let l(q) = -q**2 - 9*q - 8. Let f be l(-7). Let d(c) = c - 3. Let v be d(f). What is the first derivative of v + 4*g + 0*g + 0 wrt g? 4 Let p(v) be the first derivative of v**2/2 - 3*v - 2. Find the first derivative of p(l) wrt l. 1 Let v(u) be the second derivative of -u**5/40 + u**4/24 - u**3/6 +
{ "pile_set_name": "DM Mathematics" }
*g(p) + 10*s(p). -2*p**2 + 6 Suppose 2*y + 0 = -5*x - 17, y = -4*x - 16. Let g(h) = h + 3. Let u(c) = c + 2. Calculate x*g(z) + 7*u(z). 2*z - 1 Let o(w) be the first derivative of -1/2*w**2 + 0*w - 1. Let f(x) = -2 + 2 - 3*x. Give -6*f(a) + 17*o(a). a Let p(z) = -2*z**2 - 12. Let o(k) = 1. Give -3*o(t) - p(t). 2*t**2 + 9 Let m(l) = -2*l. Let y(s) = 1. Calculate -m(b) - 2*y(b). 2*b - 2 Let v(l) = -3*l**2 - 3*l + 3. Let p(c) = 4*c**2 + 3*c - 3. What is 4*p(u) + 5*v(u)? u**2 - 3*u + 3 Let s(g) = -2*g**3 + 3*g**2 - 2. Let n(m) = -4*m**3 + m**2 + 2*m**3 - 2 + m**2. Let x = -12 - -10. What is x*s(w) + 3*n(w)? -2*w**3 - 2 Let i(m) = -m**3 - m. Let z(p) be the first derivative of -3*p**4/2 - 5*p**2/2 + 13. What is -15*i(a) + 3*z(a)? -3*a**3 Let n(u) = -14*u + 7. Let r(d) = -1. Determine -2*n(t) - 14*r(t). 28*t Let m(n) = -3*n + 13. Let h(u) = -2*u + 7. What is 5*h(r) - 3*m(r)? -r - 4 Let z(o) = -6*o + 3. Let g(c) = 4*c - 4 + c + 2*c. Suppose 3*h + 4 = -h. Let w = -6 - h. What is w*z(t) - 4*g(t)? 2*t + 1 Let t be 6/(-15) - (-6)/(-10). Let u = t + -3. Let s(n) = 3*n**3 + 2*n**2 + 4*n + 5. Let w(m) = m**3 + m**2 + m + 1. Determine u*w(l) + s(l). -l**3 - 2*l**2 + 1 Let j(d) = 2*d**3 - 5*d**2 + 7. Let z(u) be the first derivative of -8*u + 2 + 2*u**3 + 0*u**2 - 1/2*u**4. Calculate -6*j(s) - 5*z(s). -2*s**3 - 2 Let u(y) = -4*y + 8. Suppose 3*o + o + 3 = -3*f, -o = 3. Let s(p) = -7*p + 11*p + f*p - 15. What is 6*s(a) + 11*u(a)? -2*a - 2 Let t(x) = x**3 + 2*x + 2. Let a(c) = -c**2 + c + 1. Calculate -2*a(z) + t(z). z**3 + 2*z**2 Let d(i) = 3*i**2 + 11*i + 17. Let k(c) = -5*c**2 + 9*c**2 - 5*c**2 - 4*c - 6. Calculate -4*d(b) - 11*k(b). -b**2 - 2 Let v(b) = 3*b**2 - 2*b - 2. Suppose 0*g + 2 = -2*g. Let r = g + -1. Let n(l) = 13*l**2 - 9*l - 9. Determine r*n(d) + 9*v(d). d**2 Let u(j) = 17*j + 17 - 2 + 0*j. Let b(k) = -8*k - 7. Suppose y + 1 - 4 = 0, 0 = -5*l - 2*y - 59. Give l*b(z) - 6*u(z). 2*z + 1 Let v(g) = 9*g**2 - 15*g - 11. Suppose 0*y = -5*y - 3*q + 42, 0 = 4*q - 16. Let h(p) = -4*p**2 + 7*p + 5. What is y*v(u) + 13*h(u)? 2*u**2 + u - 1 Let m(q) = q**2 + 6*q + 6. Let f be 4/8*6 - -3. Let b(l) = 2*l**2 + 13*l + 13. Calculate f*b(n) - 13*m(n). -n**2 Let i(d) = 5*d**2 - 6*d - 6. Let o(w) be the second derivative of -5*w**4/6 + 13*w**3/6 + 13*w**2/2 + 25*w. Give 13*i(r) + 6*o(r). 5*r**2 Suppose -137 = -8*r - 33. Let m(w) = -13*w**2 + 6*w - 6. Let b(v) = 27*v**2 - 13*v + 13. What is r*m(o) + 6*b(o)? -7*o**2 Let r(t) = -10*t**2 - 6*t - 6. Let z(u) be the third derivative of -7*u**5/60 - u**4/6 - 2*u**3/3 - 4*u**2. Determine 5*r(y) - 7*z(y). -y**2 - 2*y - 2 Let p(o) = -638*o**2 - 99*o - 99. Let b(t) = 13*t**2 + 2*t + 2. Give -99*b(k) - 2*p(k). -11*k**2 Let b(y) = -4*y**2 + 23. Let r(q) = 2*q**2 - 12. Give -2*b(j) - 5*r(j). -2*j**2 + 14 Let v = -44 - -45. Let d(o) = 4*o**2 - o - 1. Let f(m) = m**2 + m + 1. Determine v*f(i) + d(i). 5*i**2 Let g = 2 + -3. Let d(h) = h. Let x(s) = 7*s. Let i(k) = -7*k. Let z(w) = 5*i(w) + 4*x(w). What is g*z(o) - 6*d(o)? o Let h(v) = 2*v**2 - 3*v + 3. Let u(l) = 3*l**2 - 5*l + 6. What is 5*h(b) - 3*u(b)? b**2 - 3 Let q(s) = -5*s - 5. Let h(z) = -6*z - 6. Suppose -2*m + 5 = -4*t + 5*t, -32 = -5*m + 4*t. What is m*q(c) - 3*h(c)? -2*c - 2 Let w(i) = i**2 + 12*i + 7. Let t be w(-13). Suppose -6*q + t = -2*q. Let k = q + -10. Let y(z) = 5*z - 1. Let f(r) = -9*r + 1. Give k*y(n) - 3*f(n). 2*n + 2 Let o = 0 + 11. Let k(t) = -16*t. Suppose -2*x - 2*x + 8 = 0. Let y(f) = -4*f + x*f - f. Give o*y(z) - 2*k(z). -z Let k(a) = 35*a**3 + 11*a**2 - 11*a + 11. Let v(l) = -7*l**3 - 2*l**2 + 2*l - 2. Calculate -2*k(x) - 11*v(x). 7*x**3 Let y(c) = -2*c + 1. Suppose 8 = 3*v - 1. Suppose 0 = -5*a + 2*q + 11, v = -3*a - 2*q - 0*q. Let l(n) = -1. Determine a*y(k) + 2*l(k). -2*k - 1 Let m(w) = 11*w. Let y(n) = 2*n. Suppose 8 = -4*r - 0, 26 = 5*l - 3*r. Suppose l*a - 2 = 6. What is a*m(p) - 10*y(p)? 2*p Let d = 1 - 1. Let i(u) = 17*u + 7 + d - 11*u**2 + 9*u**3 - 6*u. Let b(m) = -5*m + 5*m**2 + m**3 + 0*m**3 - 5*m**3 - 3. What is 7*b(z) + 3*i(z)? -z**3 + 2*z**2 - 2*z Let b(g) = 7*g - 4. Let w(j) = -7*j + 5. What is 5*b(s) + 4*w(s)? 7*s Let z(k) = -k - 1. Suppose 4*x - 3*x + 2 = 0. Let j(q) = 5*q + 6. Let y(h) = x*z(h) - j(h). Let f(t) = 2*t + 3. Calculate 5*f(a) + 4*y(a). -2*a - 1 Let u(w) = 12*w - 4. Let z(f) = -f + 1. Let p(i) = -u(i) - 8*z(i). Let d(c) = 5*c + 5. Determine -3*d(r) - 4*p(r). r + 1 Let r(h) = 3. Let l(y) = y**2 - 6. Determine 2*l(x) + 5*r(x). 2*x**2 + 3 Let o(l) = 7*l + 5. Let w(t) = -1. Let h be ((-5)/(-4))/((-1)/(6 + -2)). What is h*w(g) - o(g)? -7*g Let a(p) = -1. Let d = -5 + 10. Let l(c) = c**2 - 5. Calculate d*a(i) - l(i). -i**2 Let r(h) = -h - 2. Let m = -106 + 156. Let i(n) = 3*n - m + 48 - 4*n. Calculate -6*i(q) + 7*r(q). -q - 2 Let w(s) = -3*s**2 + 9. Let z(c) be the first derivative of -c**3/3 + 4*c - 6. Calculate -3*w(u) + 7*z(u). 2*u**2 + 1 Let w(k) = -3*k - 5. Let i(a) = a. What is 4*i(g) + w(g)? g - 5 Let j(l) = 1. Let w(c) = 3 - 16*c**2 + 7*c**2 + 2 + 8*c**2. What is -15*j(x) + 3*w(x)? -3*x**2 Let j(h) = 4*h - 5. Let p be 20/(-90) + (-4)/(-18). Let o(l) = 0*l + p + 2 - 2*l. Give -2*j(g) - 5*o(g). 2*g Let d(c) = -5*c**2 - 6*c + 7. Let x(f) = -f**2 - f + 1. Suppose -4*z + w = 3, w - 4*w = 3*z + 6. Determine z*d(v) + 6*x(v). -v**2 - 1 Let t(s) = s**2 - 6*s + 2. Let o(d) = d**2 - 7*d + 3. Determine 5*o(r) - 6*t(r). -r**2 + r + 3 Suppose 0 = 4*j + 7 - 23. Suppose j*q - 8 = 2*q. Let h(k) = -2*k - 3. Suppose 4 = -4*z + 24. Let s(m) = 2*m + 4. Give q*s(a) + z*h(a). -2*a + 1 Suppose 0 = x + 4*x - 35. Let u(c) = 2*c**3 + 7*c - 7. Let l(q) = -q**3 - 4*q + 4. Give x*l(y) + 4*u(y). y**3 Let q(o) = -o**2 + o. Let i(k) be the second derivative of -k**3/6 + 4*k. What is -i(p) - 2*q(p)? 2*p**2 - p Let b(t) = t**2. Let d(o) = -3*o + 5*o + 4*o - 7*o. Give b(i) + d(i). i**2 - i Let j(h) = h**2 - h. Let q(u) = 2*u**2 - 4*u + 5. Determine -j(y) + q(y). y**2 - 3*y + 5 Let w(r) = -2*r + 2. Let g(y) = y - 1. Give 2*g(u) + 2*w(u). -2*u + 2 Let a(h) = -9*h**2 - 4. Let v(m) = -m**2 - 1. Give -a(i) + 4*v(i). 5*i**2 Suppose 0 = 4*f + 4*g + 100, 7*f - 2*g + 104 = 2*f. Let p(v) = v**3 - 3*v**2 - 3*v. Let a(o) = 3*o**3 - 11*o**2 - 11*o. Calculate f*p(s) + 6*a(s). -4*s**3 Let a be -1 - (-5)/(10/16). Let z = 16 - 14. Let k(u) = -u - 4. Let n(t) = 1. What is a*n(i) + z*k(i)? -2*i - 1 Let u(f) = 9*f. Let o(l) = -19*l + 1. Give 4*o(h) + 9*u(h). 5*h + 4 Suppose -5*y + 15 = -0*y. Let u(b) = 4*b + 2. Let d(l) be the first derivative of -1/2*l**2 + 0*l + 4. Determine y*d(z) + u(z). z + 2 Let s(c) = -2*c**3 + c**2 - 3*c + 5. Let q(v) = -2*v**3 + v**2 - 3*v + 6. Determine 5*q(z) - 6*s(z). 2*z**3 - z**2 + 3*z Let n(o) = -4*o**3 + 7. Let u(c) = 3 - 2*c**3 - 2*c**2 + 2*c**2. Let j be (-2)/(-4)*-1*14. Calculate j*u(d) + 3*n(d). 2*d**3 Let u(m) = m**3 + 5*m**2 + 2*m. Let f = -5 - -8. Let x(s) = s**3 + 6*s**2 + 3*s. Give f*x(b) - 4*u(b). -b**3 - 2*b**2 + b Let l(n) be the first derivative of n**4/2 + 2*n**3/3 + n**2/2 - 4*n - 228. Let z(w) = -2*w**3 - 2*w**2 - w + 5. Let x = 1 - 5. What is x*z(s) - 5*l(s)? -2*s**3 - 2*s**2 - s Let r be (4/18)/(3/27). Suppose -r*w + 26 = -5*c, 2*w = -2*c - 0*c - 2. Let t(i) = i. Let p(k) = -3*k + 2. Give c*t(l) - p(l). -l - 2 Let q be ((-2)/6)/(2/(1 - -5)). Let f(s) = -s**3 - s**2. Let v(u) = -8*u**3 - 12*u**2. What is q*v(r) + 12*f(r)? -4*r**3 Let a(m) = m**2 - 6*m + 12. Let o(g) = -2*g**2 + 17*g - 35. Give 11*a(v) + 4*o(v). 3*v**2 + 2*v - 8 Let r(t) = -t + 1. Let k be 9/6 - 9/2. Let d(i) = -3*i**2 + 4*i - 3. Determine k*r(b) - d(b). 3*b**2 - b Let r(q) = q**3 - 1. Let f(m) = 7*m**3 - 11. Calculate f(n) - 6*r(n). n**3 - 5 Let u(v) = 24*v - 14. Let j(f) = 8*f - 5. What is 11*j(a) - 4*u(a)? -8*a + 1 Let d(n) = 25*n**2 - 40*n. Let p(t) = 2*t**2 - 3*t. Give 3*d(v) - 40*p(v). -5*v**2 Let f(z) = -z**3 - z**2 - z. Let q(w) = 10*w**3 - 6*w**2 - 8*w. What is 6*f(j) - q(j)? -16*j**3 + 2*j Let s(d) = -d. Let i be s(-5). Let q(w) = 2*w + 2. Suppose -4*n - 5*c = -0*c + 7, -6 = 2*c. Let u(g) = -g - 1. Determine i*u(b) + n*q(b). -b - 1 Let o(n) = 4*n + 6*n - 9*n. Let b(k) = -3*k - 4 + 4 + 4*k. What is -4*b(m) + 3*o(m)? -m Let a(r) = -9*r + 4. Let i(s) = 9*s - 4. Let n(l) = 4*a(l) + 5*i(l). Suppose 38 + 3 = 3*q - 5*u, -6 = -2*q - 2*u. Let o(c) = 5*c -
{ "pile_set_name": "DM Mathematics" }
lify (c**(2/49))**(2/3)/(c*(c/(c**(4/3)*c))/c*c*(c/((c**(-6)*c)/c))/c) assuming c is positive. c**(-829/147) Simplify ((q**(-5/6)*q/q**4)/(q**(1/6)/q**(-5/2)))**42 assuming q is positive. q**(-273) Simplify (y**15*y**15)/((y/y**(-1/4))/(y/(y**(-11)*y))) assuming y is positive. y**(159/4) Simplify (x**(7/2)*x)**(-2/33)*x/x**(-6)*x*x**2 assuming x is positive. x**(107/11) Simplify (v**(-1/5)/(v/(v/(v*v/v**(1/6)*v))))/(v*v**(1/20)*(v*v/(v/(v*v*v**11)))/v*v) assuming v is positive. v**(-217/12) Simplify (((m/m**(-2/7))/(m/(m**(-1)*m)))**2)**(-24) assuming m is positive. m**(-96/7) Simplify ((x*x**(-4/5)/x*x)/((x/(x/((x*((x/(x**(-11)*x)*x)/x)/x*x)/x)))/x))/(x/(x/(x*(x**2/x)/x*x*x*x)*x))**31 assuming x is positive. x**(-514/5) Simplify d/d**(-12/5)*d*d*d*d**(-6/7)*d**(-3/13)*d*d*d/((d*d**(-7))/d)*d assuming d is positive. d**(7422/455) Simplify (((d/d**8)/d)/d)**3*d**(-1/8)/d**(-1) assuming d is positive. d**(-209/8) Simplify (q**(-2/3)/(q*q**(-22)))/(q**8/q)**23 assuming q is positive. q**(-422/3) Simplify (d/d**(-2/17)*d**(-32))**(-34) assuming d is positive. d**1050 Simplify ((((m**(5/2)/m)/m)/(m*m**(1/2)))/(((m/m**(-4))/m)/(m*m*m**(-2/5)*m*m)))**12 assuming m is positive. m**(-84/5) Simplify (m*m**(-13)*m**(-2/5))/(m**(2/3))**(-1/9) assuming m is positive. m**(-1664/135) Simplify (f/(f/((f/(f*f**(-35))*f)/f)))/(f/f**(2/77)*f)*((f/(f**(1/15)/f))/f)**(27/7) assuming f is positive. f**(14101/385) Simplify (t**(-28)*t*t/(t*t**(-3)/t))**(12/5) assuming t is positive. t**(-276/5) Simplify ((j**13)**(-1/3))**(-1/25) assuming j is positive. j**(13/75) Simplify (t/(t/(t*t*t/(((t/(t/(t/t**(-2)*t)))/t)/t*t))))**25*(t/t**(-2/21))/(t**(7/2)/t) assuming t is positive. t**(-59/42) Simplify (d**(3/4)/d**(-2/27))/((d/(d**(1/11)*d))/d*d*d*d/d**17) assuming d is positive. d**(18907/1188) Simplify d*d**5*(((d*d**(-7/3))/d)/d*d)/d*(d*d*(d*(d*d*d**(1/5)*d)/d)/d)/d**(-2/9) assuming d is positive. d**(319/45) Simplify (q**5)**6*(q*q**36)/q**(-1/12) assuming q is positive. q**(805/12) Simplify (y**(2/11)*y)**18/(((y**(-2)/y)/y)/y)**(-2/29) assuming y is positive. y**(6676/319) Simplify (w**(-3/4)*w)/w**(-1)*(w**(-3/13))**(18/11) assuming w is positive. w**(499/572) Simplify o**(-2/3)/o**(-7)*o**(-5)/o**(-1/7) assuming o is positive. o**(31/21) Simplify k/k**(1/6)*k*k/((k**(-9)*k)/k)*(k**5*k)/k*k*k**(-2/5) assuming k is positive. k**(523/30) Simplify (p*p/(p*p**(-3/7)))**49*p**(-8)*p**(-9/5) assuming p is positive. p**(301/5) Simplify ((j/((j*j*j**3)/j))**(-25/2))**(-9/8) assuming j is positive. j**(-675/16) Simplify ((g**0/(g**(1/8)/g))**(-9/2))**40 assuming g is positive. g**(-315/2) Simplify (((v*v**(-6/7))/v**1)/((v*(v/(v*v**(-8)))/v)/v**(2/13)))**(-49) assuming v is positive. v**(5544/13) Simplify j**11*j/(j*j*j**(-4)*j)*j*j**3*j/(j/j**(5/3)) assuming j is positive. j**(56/3) Simplify (((j*j**(-2/13))**(-29))**(-1/38))**(-18) assuming j is positive. j**(-2871/247) Simplify (((q/q**1)**(-2/13))**(-22))**(-1/17) assuming q is positive. 1 Simplify (m**(-3/7)/m)**37/(m/(m**(-1/4)*m))**40 assuming m is positive. m**(-440/7) Simplify (t/(t/(t/t**15))*t)**(3/43)/(t**(-11))**(-3) assuming t is positive. t**(-1458/43) Simplify (((c/c**2)/c)**(-6/25)*(c/c**(6/13)*c)/(c**(1/9)/c))**18 assuming c is positive. c**(17008/325) Simplify q**(-1/44)/q**(34/3)*q**(-31)*q**(6/11) assuming q is positive. q**(-5519/132) Simplify (p**(1/2)/p*p*p**(-1/28))**(-26) assuming p is positive. p**(-169/14) Simplify (j*j*((j*(j/((j/(j/(j*((j**(-1)*j)/j)/j)))/j*j)*j)/j)/j*j)/j*j**4*j**7/(j**(-7)*j))**(12/17) assuming j is positive. j**(252/17) Simplify (n*n**(1/2)/n*n*n**4/n*n**(-2/5)/n**(2/3))**43 assuming n is positive. n**(4429/30) Simplify x**(-1/16)*x*x**(1/4)*(((x*x**(-4))/x*x)/x)/x*x*x*x**(1/13)*x assuming x is positive. x**(-153/208) Simplify (k**(-5/3)*k**(2/3))/((k/k**(-1/6))/k*k**(-3/10)) assuming k is positive. k**(-13/15) Simplify (u**(-30)/u**(-9))**(-43) assuming u is positive. u**903 Simplify (h**(-14/3)*h/h**14)/(h**(-3)*h)**(-22) assuming h is positive. h**(-185/3) Simplify (((p/p**(-1/6)*p)/p*p/p**(-2/3))/(p/(((p**5*p)/p*p)/p)*p*p**2))**(-2/31) assuming p is positive. p**(-23/93) Simplify (((y/((y/(y**(-2/17)/y))/y))**(3/14))**(-1/58))**(-1/4) assuming y is positive. y**(-3/27608) Simplify i**(-8)/i**(-9)*i**(2/11)*i**(1/20) assuming i is positive. i**(271/220) Simplify (b*b*b*(b**10/b)/b)**(2/35)*(b*b**(-2))**(-34) assuming b is positive. b**(1212/35) Simplify (v/(v**(1/8)*v))**(-9/4)/(v/v**(1/7))**(-6/5) assuming v is positive. v**(1467/1120) Simplify (((l/(l*(l/((l**(6/5)/l)/l))/l))/((l**(8/7)*l)/l))**34)**(10/11) assuming l is positive. l**(-4624/77) Simplify ((w**(-28/5)*w)/w**(3/8))/(w*w**(10/9)*w/w**3) assuming w is positive. w**(-1831/360) Simplify ((b**11*b**(4/11)/b)**(-1/2))**(14/3) assuming b is positive. b**(-266/11) Simplify ((p/(p/(p*p*p**(-17)*p)))/((p*p*p**(1/12)*p)/p))/(p**(-3/7)*p)**(-4/3) assuming p is positive. p**(-429/28) Simplify (z**(-5/11)/z*z**(-3/5)*z*z)/(z**(1/14)/z**(7/8)) assuming z is positive. z**(2307/3080) Simplify p**(-2/19)/p**(-4)*(p**(-14)/p)/(p**(-8)*p) assuming p is positive. p**(-78/19) Simplify (h**(2/9)*(h/h**17)/h)/(h/(h**(4/3)/h)*(h*h**(1/8))/h) assuming h is positive. h**(-1265/72) Simplify (w**(-3/23)*w**32/w)**(2/43) assuming w is positive. w**(1420/989) Simplify (h*(h/h**6)/h*h)**(-48)/(h**(-2/5))**(-27) assuming h is positive. h**(906/5) Simplify (b**(2/5))**43*b**3/(b*b/(b*b**4)) assuming b is positive. b**(116/5) Simplify (u*u**(-1/19))/u**(2/3)*u**(2/29)*u**(-10)/u*u*u assuming u is positive. u**(-14299/1653) Simplify (r**11)**48/((r*r*r**(1/24)/r*r)/(r**15*r)) assuming r is positive. r**(13007/24) Simplify (n**(-18)/n*n)/(n*n**(-8/11))*(n*n/(n**37*n*n))/(n*n*n**(-3/5)) assuming n is positive. n**(-3117/55) Simplify (b*b**(-6))/(b/((b**22*b)/b))*(b**(-5/2))**(-2/43) assuming b is positive. b**(693/43) Simplify (z*z*z*z*z/z**(7/3)*z)**50/(z**(-2)*z*z)**38 assuming z is positive. z**(550/3) Simplify u**(-23)*u/(u*u**(3/14))*(u**(-4/7))**(-2/69) assuming u is positive. u**(-22409/966) Simplify u*u/(u*u**(-3/8))*u*u**(-15)*u*u*u/(u/u**(-15/7))*u*u**(-6) assuming u is positive. u**(-995/56) Simplify ((j*j**(2/27))/(((j/(j*j**1))/j)/j*j))/(j**0)**(-6) assuming j is positive. j**(83/27) Simplify (m*m**(-3/16))/(m*(m/(m*m**(4/7)*m*m))/m)*m**20*m**(-2/59) assuming m is positive. m**(154297/6608) Simplify (((t*t**11)**(-9))**(-35))**25 assuming t is positive. t**94500 Simplify ((b**(-23)/b)/(b*b/((b**14/b*b)/b*b)*b))/((b*b/(b*b/(b/b**(-15))))/(b/(b*b*(b*b/((b/b**(-6/5))/b))/b*b))) assuming b is positive. b**(-154/5) Simplify (c**(-4)*c**(1/6))/(c**1*(c/((c**(-1/3)*c)/c))/c) assuming c is positive. c**(-31/6) Simplify ((d*d**(-4))/(d*d**0)*(d/((d*d**(-2))/d))**(-29))**(-34) assuming d is positive. d**3094 Simplify d/(d**(-1/8)/d)*d**10*(d/(d/((d/d**(-14))/d)*d))/d**(-16) assuming d is positive. d**(329/8) Simplify ((b/b**(5/7)*b)/(b/(b*b*b**(7/2))))/(b**(-11)/b**(-1/20)) assuming b is positive. b**(2343/140) Simplify ((r**(-3/5)*r**(-2/13))/(r**(1/3))**31)**(-2/71) assuming r is positive. r**(4324/13845) Simplify ((q/(q*q**(1/2)))**25/((q**1/q)/(q*q**(1/3)*q*q)))**(2/119) assuming q is positive. q**(-55/357) Simplify b/b**(-6)*b**(-1)*b*(b*(b**(3/7)*b)/b)**(-1/3) assuming b is positive. b**(137/21) Simplify ((t*t*t**(-14))**(-1/16))**47 assuming t is positive. t**(141/4) Simplify (f**(-2))**37*(f**13)**(14/5) assuming f is positive. f**(-188/5) Simplify q/(q*q**(-2/13))*q*q**(-13)*(q**(-2/3)/q)/(q*q**(-2/9)) assuming q is positive. q**(-1672/117) Simplify (h**8/h*h*h*h**9)/(h/h**(-5))**28 assuming h is positive. h**(-150) Simplify (f**(-6/23)/f*f*f*f/((f/f**4)/f))/(f**(1/10)/f*f*f/(f**(-27)/f)) assuming f is positive. f**(-5373/230) Simplify ((b*b*b**(2/9))/b)**12*(((b/(b*b**(3/8)/b))/b*b*b)/b)/b*b*(b*b**(-5/7)*b)/b assuming b is positive. b**(2617/168) Simplify (p**10)**(-26/7)/(p**(-22)/p**30) assuming p is positive. p**(104/7) Simplify (((w/w**10)/(w/(w/w**(1/8))))/(w/(w*w**(-1/3)*w*w*w))**(-1))**(4/21) assuming w is positive. w**(-283/126) Simplify j**9*j**(-2/51)*(j*j**(-16))/(j*j/(j/(j*j**(-13)))*j) assuming j is positive. j**(202/51) Simplify (a**(7/8)*a**(-13/6)*a)/((a**(-9/4)*a)/((a/(a**(-28)*a))/a)) assuming a is positive.
{ "pile_set_name": "DM Mathematics" }
lculate the highest common factor of 890413 and 31. 31 What is the highest common factor of 78 and 119994? 6 What is the greatest common divisor of 14445 and 222025? 535 Calculate the greatest common divisor of 115414 and 8073. 299 Calculate the greatest common factor of 441 and 106092. 63 Calculate the highest common factor of 27671 and 2891. 413 What is the highest common divisor of 26 and 270569? 13 What is the greatest common divisor of 18 and 7055406? 18 Calculate the greatest common factor of 226206 and 22578. 426 What is the highest common factor of 172 and 1408? 4 Calculate the greatest common factor of 108 and 5211. 27 Calculate the highest common divisor of 39071 and 7463. 439 Calculate the highest common divisor of 19933 and 3751. 31 What is the greatest common factor of 215486 and 2282? 326 What is the greatest common factor of 8891 and 34? 17 What is the highest common divisor of 7231 and 77? 7 Calculate the highest common factor of 17425 and 850. 425 Calculate the greatest common divisor of 8 and 35504. 8 What is the highest common divisor of 57 and 127509? 57 What is the highest common factor of 114569 and 273? 91 What is the highest common factor of 111 and 97347? 111 What is the greatest common factor of 3294 and 17202? 366 Calculate the greatest common factor of 793065 and 2490. 1245 What is the highest common factor of 1191580 and 520? 260 Calculate the greatest common factor of 197 and 2330707. 197 Calculate the highest common factor of 467244 and 18. 18 Calculate the greatest common divisor of 3282840 and 44. 44 Calculate the greatest common factor of 3945020 and 82. 82 Calculate the greatest common divisor of 4110 and 5513565. 2055 Calculate the highest common factor of 2540284 and 305. 61 What is the greatest common factor of 20 and 5020? 20 Calculate the greatest common divisor of 1372 and 2604. 28 What is the highest common factor of 423 and 63? 9 Calculate the greatest common factor of 72220 and 1495. 115 What is the greatest common divisor of 12008 and 1216? 152 Calculate the highest common factor of 1177 and 2695. 11 What is the highest common divisor of 43 and 39947? 43 Calculate the greatest common divisor of 4963 and 126. 7 Calculate the highest common divisor of 392 and 648. 8 Calculate the greatest common factor of 83 and 148072. 83 Calculate the highest common factor of 8437 and 286. 143 What is the highest common factor of 489384 and 1008? 504 What is the highest common factor of 159 and 1283819? 53 Calculate the greatest common divisor of 160 and 419060. 20 Calculate the highest common divisor of 67298 and 69. 23 What is the greatest common divisor of 553709 and 191? 191 Calculate the highest common factor of 9 and 42993. 9 Calculate the greatest common factor of 36 and 884. 4 What is the greatest common divisor of 130 and 7345? 65 Calculate the greatest common divisor of 6797 and 6167. 7 Calculate the highest common factor of 102 and 34986. 102 Calculate the highest common divisor of 68 and 573036. 68 What is the highest common factor of 16128 and 4928? 448 What is the highest common divisor of 418 and 291137? 209 What is the highest common divisor of 2937 and 1401928? 979 What is the highest common factor of 1210 and 239855? 55 Calculate the highest common divisor of 29 and 608159. 29 What is the greatest common divisor of 2100 and 3934? 14 What is the greatest common factor of 1656 and 3611? 23 Calculate the highest common factor of 27920 and 160. 80 Calculate the highest common divisor of 4838 and 55. 1 What is the greatest common factor of 6408 and 384? 24 Calculate the greatest common divisor of 319 and 121. 11 Calculate the greatest common factor of 64 and 33856. 64 What is the greatest common divisor of 19872 and 13824? 864 Calculate the greatest common factor of 260 and 33320. 20 What is the greatest common factor of 886 and 2160511? 443 What is the greatest common factor of 2054 and 4316? 26 Calculate the highest common factor of 19 and 1957. 19 What is the greatest common divisor of 1554 and 80586? 222 What is the highest common factor of 424237 and 44? 11 Calculate the highest common factor of 1026 and 2438118. 342 Calculate the greatest common factor of 401550 and 450. 150 Calculate the highest common divisor of 94976 and 784. 112 Calculate the greatest common factor of 1318111 and 8168. 1021 What is the highest common factor of 65 and 275665? 65 What is the greatest common divisor of 22 and 60247? 11 Calculate the greatest common factor of 182136 and 108. 12 Calculate the greatest common factor of 3474 and 34. 2 What is the highest common factor of 14273 and 77? 7 What is the greatest common factor of 10 and 15605? 5 Calculate the greatest common divisor of 1842 and 558. 6 What is the highest common divisor of 12531 and 3? 3 Calculate the highest common factor of 340 and 2573290. 170 What is the greatest common divisor of 60925 and 25? 25 What is the greatest common divisor of 1024 and 2896? 16 Calculate the highest common divisor of 2050842 and 172. 86 What is the greatest common divisor of 1808 and 7571? 113 What is the greatest common factor of 1840 and 3795? 115 Calculate the greatest common divisor of 12362122 and 114. 38 Calculate the highest common divisor of 153326 and 62. 62 What is the highest common divisor of 207 and 1629? 9 Calculate the highest common factor of 2448 and 19242. 18 What is the highest common divisor of 181 and 2351? 1 Calculate the greatest common divisor of 22356 and 258. 6 Calculate the greatest common factor of 78 and 2399462. 26 Calculate the greatest common divisor of 5735 and 74. 37 Calculate the greatest common factor of 323 and 833. 17 What is the highest common divisor of 375 and 234975? 75 What is the highest common divisor of 1494 and 39933? 9 Calculate the greatest common divisor of 1946819 and 469. 469 What is the greatest common factor of 78871 and 39? 13 What is the highest common factor of 111 and 3302287? 37 What is the highest common factor of 40 and 142360? 40 What is the highest common factor of 1139 and 6949039? 1139 Calculate the highest common divisor of 2268 and 3556. 28 Calculate the greatest common factor of 15529085 and 715. 715 What is the greatest common divisor of 476 and 56? 28 What is the highest common divisor of 978 and 366? 6 What is the highest common factor of 178040 and 120? 40 What is the highest common factor of 69 and 147384? 69 Calculate the highest common divisor of 109189 and 4658. 137 Calculate the greatest common factor of 214493 and 6738. 1123 Calculate the greatest common factor of 11690 and 355710. 1670 Calculate the highest common factor of 3777 and 1028603. 1259 Calculate the highest common factor of 274246 and 532. 266 What is the greatest common divisor of 3795 and 319? 11 Calculate the greatest common factor of 1650 and 2530. 110 What is the highest common divisor of 175 and 414155? 35 Calculate the greatest common factor of 1278 and 603. 9 What is the greatest common divisor of 176 and 31592? 88 What is the highest common divisor of 773 and 548057? 773 Calculate the greatest common factor of 4717 and 9701. 89 What is the highest common factor of 800 and 6336? 32 What is the greatest common divisor of 22058 and 697? 41 What is the greatest common factor of 893 and 2867? 47 What is the highest common factor of 459 and 119952? 153 Calculate the highest common factor of 7317 and 27. 27 What is the greatest common divisor of 99 and 348237? 9 Calculate the highest common divisor of 1568 and 408. 8 Calculate the greatest common factor of 1138 and 2587812. 1138 Calculate the greatest common factor of 159 and 3945. 3 Calculate the greatest common divisor of 20 and 8524. 4 What is the highest common divisor of 925 and 49575? 25 Calculate the highest common factor of 131738 and 2786. 398 What is the greatest common divisor of 13 and 3179527? 13 Calculate the greatest common factor of 182528 and 874. 46 What is the greatest common divisor of 114 and 681891? 57 Calculate the highest common factor of 319 and 26651. 29 What is the highest common divisor of 1827995 and 13? 13 Calculate the highest common divisor of 225729 and 27. 9 Calculate the greatest common factor of 18444 and 93264. 348 What is the highest common divi
{ "pile_set_name": "DM Mathematics" }
0*s**2 - 99*s - 454. What is b(-6)? -4 Let i(z) = z**3 + 3*z**2 + 25*z + 39. What is i(-5)? -136 Let q(m) = m**3 - 5*m**2 - 36*m + 84. What is q(2)? 0 Let k(r) = r**2 - 13*r - 21. Calculate k(14). -7 Let s(q) = -85*q - 8059. Determine s(-95). 16 Let z(i) = 2*i**3 - 15*i**2 + 7*i - 129. Calculate z(8). -9 Let o(i) = 3*i**2 + i - 34. What is o(-5)? 36 Let j(n) = n**2 - 45. Determine j(13). 124 Let o(i) = 2*i**3 + 7*i**2 - 2*i - 32. Determine o(-5). -97 Let s(g) = 304*g + 3912. Give s(-13). -40 Let d(c) = -c**3 - 29*c**2 - 167*c + 11. What is d(-21)? -10 Let u(s) = 165*s + 98. Determine u(-1). -67 Let t(d) = d**3 - 11*d**2 - 84*d + 40. Give t(16). -24 Let w(f) = f**3 - 8*f**2 - 105*f + 62. What is w(0)? 62 Let s(k) = k**3 + 17*k**2 + 39*k + 142. What is s(-15)? 7 Let t(s) = -96*s - 1117. Calculate t(-19). 707 Let v(p) = -2*p**2 + 12*p + 5188. What is v(54)? 4 Let w(z) = z**3 - 5*z**2 - 39*z + 136. Determine w(7). -39 Let i(c) = 39*c - 85. What is i(2)? -7 Let z(b) = b**3 + 19*b**2 - 93*b - 84. Calculate z(-23). -61 Let l(d) = -4088*d - 24537. Calculate l(-6). -9 Let y(f) = 85*f - 33. Determine y(0). -33 Let g(d) = -1432*d - 2874. Give g(-2). -10 Let l(c) = -c**2 - 186*c - 4551. Calculate l(-29). 2 Let r(k) = 13*k + 25. Calculate r(-11). -118 Let r(j) = j**3 - 87*j**2 + 492*j - 483. What is r(81)? 3 Let f(i) = -i**3 + 35*i**2 - 34*i - 42. Calculate f(34). -42 Let y(p) = -61*p - 11082. Determine y(-182). 20 Let b(n) = n**3 - 26*n**2 - 26*n + 672. Calculate b(26). -4 Let x(z) = z**2 + 11*z + 23. Give x(-13). 49 Let u(l) = l**2 - 110*l + 983. Calculate u(10). -17 Let i(s) = -24*s**3 - 126*s**2 - 32*s - 14. What is i(-5)? -4 Let b(w) = -3*w**2 + 41*w + 232. Calculate b(-5). -48 Let f(a) = -51*a - 286. Calculate f(-6). 20 Let i(u) = -u**2 - 27*u + 2174. Give i(-61). 100 Let x(k) = k**3 + 23*k**2 - 141*k - 29. Determine x(8). 827 Let t(i) = -i**2 + 15*i - 25. What is t(2)? 1 Let i(x) = 3637*x - 32727. Determine i(9). 6 Let o(i) = -i**2 - 26*i + 26. Determine o(0). 26 Let q(f) = -392*f**2 + 4309*f - 7. Determine q(11). -40 Let j(u) = -u**2 + 212*u - 4361. Determine j(189). -14 Let l(a) = -696*a - 1409. Determine l(-2). -17 Let r(i) = 5*i**3 - 2*i**2 - 5*i - 2. Give r(-1). -4 Let d(i) = -6*i**2 + 191*i - 522. What is d(3)? -3 Let n(h) = -2*h**2 + 1132*h + 5716. Calculate n(-5). 6 Let h(q) = q**3 + 16*q**2 - 94*q - 202. Determine h(-20). 78 Let c(w) = -30*w + 60. Determine c(12). -300 Let r(b) = 164*b - 9359. Give r(57). -11 Let r(x) = -34*x + 583. Give r(6). 379 Let w(q) = 1020*q - 38766. Calculate w(38). -6 Let w(a) = 14*a - 27. Calculate w(-3). -69 Let z(v) = -v**3 - 8*v - 77. Give z(0). -77 Let h(o) = -10*o**2 + 509*o + 49. What is h(51)? -2 Let p(q) = q**3 + 33*q**2 + 190*q + 211. What is p(-26)? 3 Let c(z) = 22*z + 895. Determine c(-40). 15 Let k(o) = -3*o**2 + 25*o - 110. What is k(7)? -82 Let f(p) = p**3 + 38*p**2 - 121*p + 84. Calculate f(-41). 2 Let r(y) = -94*y - 966. What is r(-16)? 538 Let k(q) = 710*q - 9941. Calculate k(14). -1 Let f(n) = -2*n**3 - 9*n**2 - 3*n + 9. Determine f(-3). -9 Let c(z) = -1710*z - 76955. Give c(-45). -5 Let d(p) = p**3 - 17*p**2 + 88*p - 656. What is d(15)? 214 Let y(s) = 2*s**2 + 91*s - 182. Determine y(2). 8 Let h(m) = 47*m**2 - 3569*m - 237. What is h(76)? -9 Let x(d) = 5*d**2 - 6*d - 725. What is x(19)? 966 Let b(a) = 11*a - 21. Calculate b(-4). -65 Let o(w) = -12*w**3 - 1332*w**2 + 1. Give o(-111). 1 Let b(d) = 8*d**2 - 16*d + 12. Calculate b(6). 204 Let u(q) = -84*q - 1305. Give u(-16). 39 Let x(v) = -2*v**3 + 107*v**2 + 58*v - 149. Give x(54). 67 Let u(l) = 2792*l - 67027. Determine u(24). -19 Let p(f) = -2*f**2 - 40*f + 7. Determine p(-17). 109 Let p(d) = -d**2 + 11*d - 41. Calculate p(5). -11 Let s(b) = -3*b**2 + 72*b - 510. Give s(11). -81 Let q(u) = -u**3 + 44*u**2 + 89*u - 82. What is q(46)? -220 Let u(x) = -30*x - 403. What is u(-12)? -43 Let c(h) = h**3 - 11*h**2 - 196. Give c(16). 1084 Let h(x) = x**2 + 34*x - 901. Calculate h(-52). 35 Let x(w) = w**3 + 14*w**2 + 11*w + 6. Calculate x(-13). 32 Let r(i) = -4*i**3 - 327*i**2 + 81*i - 85. Determine r(-82). -3 Let a(k) = -k**3 + 84*k**2 - 1597*k + 157. What is a(55)? 47 Let t(m) = 195*m - 12287. Determine t(63). -2 Let y(v) = -56*v - 32. What is y(4)? -256 Let l(s) = -s**3 - 40*s**2 - 97*s - 470. Calculate l(-37). -988 Let z(h) = 4*h - 139. Give z(0). -139 Let g(i) = -i**3 + 13*i**2 - 16*i + 321. Calculate g(14). -99 Let q(u) = -92*u**3 - 4*u**2 + 18*u - 15. Give q(1). -93 Let v(b) = -b**3 - 7*b**2 + 6*b - 7. Calculate v(-7). -49 Let u(y) = y**2 + 20*y - 1097. Determine u(25). 28 Let p(n) = 2*n**2 - 43*n + 136. Calculate p(6). -50 Let w(p) = p**2 - 17*p - 40. Give w(19). -2 Let y(w) = -338*w + 6754. Give y(20). -6 Let k(d) = -14*d + 274. Give k(13). 92 Let z(q) = 65*q + 4040. Calculate z(-62). 10 Let b(x) = 3342*x + 6696. Give b(-2). 12 Let p(r) = r**3 + 49*r**2 + 50*r + 12. Give p(-48). -84 Let p(r) = -2*r**3 + 11*r**2 - 17*r + 6. Calculate p(4). -14 Let f(p) = p**2 - 11*p - 162. Determine f(24). 150 Let v(g) = -g**3 + 50*g**2 - 111*g + 469. What is v(48)? -251 Let h(r) = 5*r + 56. What is h(9)? 101 Let r(f) = -4*f - 3. Determine r(-3). 9 Let q(p) = -p**3 + 8*p**2 - 3*p - 5. Determine q(3). 31 Let i(f) = 4*f - 105. Calculate i(16). -41 Let r(g) = -3*g**3 - 73*g**2 + 50*g + 28. Calculate r(-25). 28 Let y(h) = -85*h - 9567. What is y(-112)? -47 Let a(k) = -28*k**2 - 694*k - 3072. Calculate a(-19). 6 Let f(y) = 2*y**2 - 142*y - 507. Give f(74). -63 Let n(b) = 268*b**2 - 77*b + 70. Calculate n(1). 261 Let b(o) = -o**3 - 24*o**2 - 59*o + 18. Determine b(-22). 348 Let z(i) = -8*i - 44. Determine z(-30). 196 Let o(g) = -g**3 - 15*g**2 + 16*g + 48. Determine o(-15). -192 Let o(u) = -u**3 + 13*u**2 + 136*u + 87. What is o(20)? 7 Let x(m) = -88*m - 266. Determine x(-3). -2 Let o(m) = -634*m - 6272. Determine o(-10). 68 Let b(l) = 178*l - 365. Calculate b(4). 347 Let v(l) = -l**2 + 100*l - 2108. What is v(30)? -8 Let u(t) = -131*t - 729. Give u(-9). 450 Let v(b) = b**3 + 10*b**2 + 124*b + 1039. Give v(-9). 4 Let r(q) = -2*q**2 + 10*q + 8. Give r(9). -64 Let q(s) = -s**3 - 8*s**2 - 21*s + 1. What is q(-6)? 55 Let f(y) = 33*y + 2552. Calculate f(-79). -55 Let m(i) = -140*i - 538. Give m(-8). 582 Let q(t) = 104*t**2 - 650*t + 157. Calculate q(6). 1 Let k(x) = -x**3 + 5*x**2 + 21*x - 19. What is k(11)? -514 Let y(n) = n**2 + 110*n + 432. What is y(-106)? 8 Let b(u) = -4*u**3 + 5*u + 38. Determine b(0). 38 Let i(f) = -f**3 + 99*f**2 - 2*f + 91. Calculate i(99). -107 Let c(l) = -852*l - 8523. Give c(-10). -3 Let h(l) = 2*l**3 + 33*l**2 - 4*l - 51. Calculate h(-16). 269 Let t(k) = k**2 - 18*k - 71. Determine t(7). -148 Let c(n) = 4*n**2 + 78*n - 81. Give c(1). 1 Let g(n) = -n**3 + 32*n**2 - 89*n + 42. Give g(29). -16 Let a(q) = 3*q**2 - 80*q - 13. Calculate a(26). -65 Let x(z) = -35*z**3 - 7*z**2 + 19. Determine x(-2). 271 Let l(s) = 22*s + 31. Determine l(0). 31 Let n(v) = 9418*v + 47093. Calculate n(-5). 3 Let c(x) = 4*x**2 - 57*x + 69. What is c(15)? 114 Let t(g) = -g**3 - 9*g**2 - 25*g - 16. Calculate t(-5). 9 Let w(f) = -f**3 - 34*f**2 - 5*f - 157. What is w(-34)? 13 Let f(u) = -u**3 - 4*u**2 + 11*u + 83. Determine f(-4). 39 Let o(y) = -4*y**2 - 21*y + 5. What is o(-7)? -44 Let g(r) = r**3 + 3*r**2 - r + 46. Determine g(0). 46 Let g(m) = 1592*m + 6405. Determine g(-4). 37 Let q(b) = -398*b + 62488. Calculate q(157). 2 Let k(n) = -n**3 + 14*n**2 + 39*n - 60. What is k(17)? -264 Let x(u) = 61*u - 418. What is x(10)? 192 Let z(y) = -177*y**2 - 208*y + 413. Determine z(2). -711 Let g(h) = 2*h**3 - 4*h**2 - 15*h - 5. What is g(5)? 70 Let h(z) = z**3 + 24*z**2 - 21*z - 4. Calculate h(-25). -104 Let o(d) = 11*d**3 + 112*d**2 + 31*d + 119. Calculate o(-10). 9 Let d(m) = 2*m**2 + 555*m - 11256. What is d(19)? 11 Let a(x) = 26*x + 508. What is a(-11)? 222 Let f(r) = -244*r + 591. Give f(-3). 1323 Let x(m) = 37*m + 3393. Determine x(-91). 26 Let q(f) = -f**3 - 16*f - 18. What is q(0)? -18 Let f(j) = 16*j**2 - 287*j - 13. Calculate f(18). 5 Let q(m) = m**2 - 8*m - 44. Determine q(12). 4 Let w(f) = -2*f**3 - 4*f**2 - 7*f - 27. What is w(-4)? 65 Let z(r) = 208*r + 482. Give z(-3). -142 Let k(t) = 104*t + 1348. Determine k(-13). -4 Let p(n) = -2*n + 384. Give p(-71). 526 Let t
{ "pile_set_name": "DM Mathematics" }
d the first derivative of 18*n**3 - 2*n**2 - 75*n - 1009 wrt n. 54*n**2 - 4*n - 75 Find the second derivative of 3*f**4 + 2*f**2 + 9*f wrt f. 36*f**2 + 4 What is the second derivative of -v**3 - 28*v**2 + 1714*v? -6*v - 56 What is the second derivative of h*i**2*y + 281*h*y + 38*i**2*y - 11*i**2 - i*y wrt i? 2*h*y + 76*y - 22 Find the second derivative of 5*a**3*q + 547*a**2*q**2 + 2234*a*q**2 + 3*q**2 wrt a. 30*a*q + 1094*q**2 Differentiate -38*r**2*w + 75*r**2*z - 2*r**2 + r*w - 4*r*z - 3*w*z - w + 2*z wrt w. -38*r**2 + r - 3*z - 1 What is the derivative of -2883*b - 4269? -2883 Find the second derivative of -20054*y**4 - 20429*y. -240648*y**2 Find the third derivative of -3*g**2*l**3 + 19*g**2*l**2 - 11*g**2*l + 15*g*l**3 wrt l. -18*g**2 + 90*g What is the first derivative of 2*q**3 - 5*q**2 + 30*q + 6465? 6*q**2 - 10*q + 30 What is the first derivative of -p*q**3 + 9*p*q**2*z - 5*p + 10*q**2*z + 2*z - 2 wrt q? -3*p*q**2 + 18*p*q*z + 20*q*z Differentiate 3*b**3*o**2 + 989*b**3 + 147*b**2*o + 2*b*o**3 wrt o. 6*b**3*o + 147*b**2 + 6*b*o**2 Find the second derivative of 3*j**3*x - j**2*x**3 + 6*j**2*x + 9*j*x**3 + 4*j wrt j. 18*j*x - 2*x**3 + 12*x Differentiate b**2*o**2 + 18*b**2*o + 434*b**2 - 7*b*o**2 with respect to o. 2*b**2*o + 18*b**2 - 14*b*o Find the third derivative of 298*b**3*r*x**3 + 5*b**3*r*x**2 - 2*b**3*x**2 - 7*b*r*x**2 wrt x. 1788*b**3*r What is the derivative of -1193*o**2 - 517 wrt o? -2386*o What is the third derivative of -112*b**6 - 26*b**3 + 1791*b**2 wrt b? -13440*b**3 - 156 What is the second derivative of 23*k**4 + 2434*k wrt k? 276*k**2 Find the second derivative of 25*s*u**4 - 3247*s*u + 17*u**3 wrt u. 300*s*u**2 + 102*u What is the second derivative of -76*i**2*m**3 - i**2 + 48*i*m + 2*m**3 wrt m? -456*i**2*m + 12*m What is the second derivative of 2566*k**2 + 7655*k? 5132 What is the second derivative of 21004*i**2 + 69*i + 2? 42008 Find the second derivative of 5153*j**3 - 824*j - 3 wrt j. 30918*j What is the derivative of -7*d*m*q**2 + 2*d*m*q + 3*d*q**2 - 2*m*q - 2*m + 12*q**2 wrt d? -7*m*q**2 + 2*m*q + 3*q**2 What is the third derivative of -10*f**6 - 33*f**5 - 1371*f**2 wrt f? -1200*f**3 - 1980*f**2 Differentiate -1360*d**3*j - 5183*d**3 - 5*d*j**3 + 2*d + 2 with respect to j. -1360*d**3 - 15*d*j**2 Find the third derivative of 148*b*q**4 + 874*b*q**2 - q**4 - q**3 - q**2 wrt q. 3552*b*q - 24*q - 6 Differentiate -2*k**3*p**2 + 315*k**3 - 510*k*p**2 with respect to p. -4*k**3*p - 1020*k*p What is the second derivative of 2235*i**3 - 2*i - 1437? 13410*i Find the second derivative of h*l**3*q**3 + 35*h*l**3 - 4*h*l**2 - 911*h*l*q**4 - 4*h*l*q wrt q. 6*h*l**3*q - 10932*h*l*q**2 Differentiate r**2*y - 1592*r**2 - 1228*r*y**3 wrt y. r**2 - 3684*r*y**2 What is the derivative of 3*m*n**2 + 80*m*n - 257*m wrt n? 6*m*n + 80*m Differentiate 985*j - 1523 with respect to j. 985 Find the second derivative of -5*k**4 + 5*k**3 - 68*k**2 + 6*k - 1025 wrt k. -60*k**2 + 30*k - 136 Differentiate -5*d**2*l**2 - 849*d**2 + 29*l**2 with respect to l. -10*d**2*l + 58*l Find the first derivative of j**3 - 476*j**2 - 7*j + 4293 wrt j. 3*j**2 - 952*j - 7 What is the third derivative of -166*v**5*z - 8*v**5 - 27*v**2*z + 23*v**2 wrt v? -9960*v**2*z - 480*v**2 What is the second derivative of -3899*c**3*o**2*s + 2*c**3*o*s + c*o*s - 1434*s wrt o? -7798*c**3*s Differentiate -8*m*s + 3*m - 3*s**3 - 6*s + 25 with respect to s. -8*m - 9*s**2 - 6 What is the third derivative of 6*l**5 + 19*l**4 - 608*l**2? 360*l**2 + 456*l What is the second derivative of -530*g**2 - 37*g? -1060 Find the third derivative of -g**2*l**2*y**3 - 18*g**2*l**2 - 22*g**2*y**3 + 3*g*y**2 + 2*l**2 wrt y. -6*g**2*l**2 - 132*g**2 What is the second derivative of 22*c**3*u**3 + 5*c**3*u + c**2 + 2*c*u**3 + 7*c*u + u**3 - 4 wrt c? 132*c*u**3 + 30*c*u + 2 Differentiate -86*r**2 - r + 150 wrt r. -172*r - 1 Find the second derivative of -66*a**2*m*p**2 - 2*a**2*p**2 - 211*a**2 - a - 2*m - 2*p + 2 wrt p. -132*a**2*m - 4*a**2 Find the first derivative of 21*d**3 + 3*d*p + 2*p - 2 wrt d. 63*d**2 + 3*p What is the third derivative of -34*g**5*y + 2*g**4*y + g**3*y**3 - 2*g**2*y**2 - 10*g**2*y - 2*y**3 wrt g? -2040*g**2*y + 48*g*y + 6*y**3 What is the derivative of -7*i**3*m - 4066*i**3 + 178*i*m**2 wrt m? -7*i**3 + 356*i*m What is the third derivative of 502*g**3*u**2 - 22*g**2 + g*u**2 + g*u wrt g? 3012*u**2 What is the second derivative of -5*p*r**3 + 2*p*r**2 - 5*p*r - 10*p + 8*r**5 wrt r? -30*p*r + 4*p + 160*r**3 What is the third derivative of -3*i**3*z**5 - 46*i**3*z**3 - 2*i**3*z**2 - i**3 + 40*i**2*z**2 wrt z? -180*i**3*z**2 - 276*i**3 Differentiate 621*j**3 + 1205. 1863*j**2 What is the second derivative of 2*m**3 - 52*m**2 - 46*m wrt m? 12*m - 104 What is the first derivative of 431*w**3 + 945? 1293*w**2 What is the second derivative of 3*a**2*g*p + 4765*a**2*p**2 + a*p**2 + 39*a + 2*g*p + 15*p**2 wrt a? 6*g*p + 9530*p**2 Find the third derivative of -1176*q**2*y**3 + 624*q**2*y**2 wrt y. -7056*q**2 Find the second derivative of 14*d**2*o**2 - 47*d**2*o - 16*d*o**5 - d*o + 2*o**5 wrt o. 28*d**2 - 320*d*o**3 + 40*o**3 Find the first derivative of -366*m*o + 2188*m wrt o. -366*m Find the second derivative of -29*g*s**3 + 113*g*s**2 - g*s - g + s**3 - s + 220 wrt s. -174*g*s + 226*g + 6*s What is the third derivative of 2*y**5 - 1606*y**4 - 2*y**3 - 6*y**2 - 92*y wrt y? 120*y**2 - 38544*y - 12 What is the second derivative of -33144*q**2 - q + 16696 wrt q? -66288 What is the derivative of -107*o**4 - 3*o**2 + 773 wrt o? -428*o**3 - 6*o What is the third derivative of 16045*t**3 + 7702*t**2 wrt t? 96270 What is the third derivative of -41*g**6 - 15*g**4 + g**2 - 115*g - 1? -4920*g**3 - 360*g What is the second derivative of -76*d**3*l**2 - 2*d**3 - 37*d**2*l*z - 2*d**2*l - d*l**2*z + 2*d*l + l**2*z wrt l? -152*d**3 - 2*d*z + 2*z What is the second derivative of 52*j**5 + 967*j wrt j? 1040*j**3 Find the first derivative of 270*n**3 + n**2 - 2483 wrt n. 810*n**2 + 2*n What is the third derivative of 1799*o**4 + o**2 - 24*o - 21 wrt o? 43176*o What is the third derivative of -c**4*l - 35*c**3*f*l - c**3*f + c**2*f - 22*c**2*l + c*f*l - f*l wrt c? -24*c*l - 210*f*l - 6*f Find the first derivative of -2*m*x**2 - 701*m + 20*x**2 + 13*x wrt m. -2*x**2 - 701 Differentiate -4446*x**3 + 3437. -13338*x**2 Find the second derivative of -1716*u**2 + 3379*u wrt u. -3432 Find the first derivative of -181*i**2 - 40. -362*i What is the second derivative of 29*c**4 - c**2 + 2*c - 65? 348*c**2 - 2 What is the derivative of -1439*f + 2640? -1439 What is the derivative of -1783*l**2*p*q - 3*l**2 - 2*l*p - p*q + 13*p - 3 wrt q? -1783*l**2*p - p What is the first derivative of d**2*p + 44*d**2*q**2 + 6*d*q**2 + 1130*p*q**2 - q wrt d? 2*d*p + 88*d*q**2 + 6*q**2 What is the first derivative of -669*c**2*h + 21*c**2 + 2*c wrt h? -669*c**2 Find the second derivative of 341*o**2*q + 349*o - q wrt o. 682*q Find the third derivative of -3*k**5*w - 3*k**5 + 2*k**3*w - 18*k**2*w - k**2 - k*w wrt k. -180*k**2*w - 180*k**2 + 12*w What is the third derivative of -3*c*h**5 - 6*c*h**2 - 100*c*h - 608*h**5 - 1 wrt h? -180*c*h**2 - 36480*h**2 What is the first derivative of 2967*h**4 - 646? 11868*h**3 Differentiate -61*i**2*m**2*p - i**2*m*p**2 - 32*m**2 + m*p**2 with respect to i. -122*i*m**2*p - 2*i*m*p**2 What is the second derivative of 2*k**2*t + 108*k**2 - 2*k*t + 6*k + 12*t wrt k? 4*t + 216 What is the second derivative of 440*q**3 + 9*q - 19? 2640*q What is the second derivative of -4*g**2*y**3 - 20*g**2*y**2 - g**2 + 3*g*y**3 + 7*g*y + y wrt y? -24*g**2*y - 40*g**2 + 18*g*y What is the third derivative of -2*c**4*q**2 - 14*c**4 + 30*c**3*q**2 - 2*c**2 + 31*c*q**2 + 6*c wrt c? -48*c*q**2 - 336*c + 180*q**2 Differentiate 2*n**4 + 187*n*v - 58*v - 1 with respect to n. 8*n**3 + 187*v Differentiate r*w**3*x**2 - 86*r*w**3 + 2*r*w - 73*r*x**2 with respect to x. 2*r*w**3*x - 146*r*x What is the first derivative of -4*f**2*i*r + 2*f**2*r - 123*f**2 + 2*f - 2*i*r - 2*i + 8*r + 23 wrt f? -8*f*i*r + 4*f*r - 246*f + 2 What is the third derivative of 15*m**3*s**3*v - 29*m**3*s**2*v**2 - 2*m*s**2 - 24*m*v**2 - 64*s**3*v**2 wrt s? 90*m**3*v - 384*v**2 What is the third derivative of 21*g**2*l**2*v**3 - g**2*l**
{ "pile_set_name": "DM Mathematics" }
-58292132.8 What is the product of -33.2122 and 74? -2457.7028 What is -205 times 64.439? -13209.995 Product of 0.407015748 and -0.1. -0.0407015748 -28703.1*81.8 -2347913.58 What is the product of 85 and -9911373? -842466705 4097834*3 12293502 Multiply 1.1 and -1922596. -2114855.6 49007525 * 0.4 19603010 Product of 22684 and 263. 5965892 3788.5 times -6.1 -23109.85 14.067*-3636 -51147.612 Work out -17084.3 * -711. 12146937.3 Calculate -3*-496537. 1489611 Product of -14 and -1704.491. 23862.874 Product of 0.33610786 and -1.7. -0.571383362 What is 0.17 times -242086? -41154.62 7532563 * -2 -15065126 What is the product of -540.318 and -7? 3782.226 25849 times -3.58 -92539.42 Product of -2 and -0.06422223. 0.12844446 3 * -3386094 -10158282 What is 0.1 times -0.51067978? -0.051067978 Product of -8084266 and 5. -40421330 -0.07 times 0.320277 -0.02241939 Calculate 90733*-7.2. -653277.6 Work out -20 * -13007771. 260155420 21.1928509*-0.1 -2.11928509 Work out -526 * 743.21. -390928.46 -20.7 * 32370 -670059 Product of -734688 and -1.98. 1454682.24 Work out -0.01682 * -1730. 29.0986 Calculate -2*25806788. -51613576 Product of -0.06224 and -1572. 97.84128 Product of -54388 and -858. 46664904 Work out -267 * 0.29449. -78.62883 279 * -25268 -7049772 204118*-103 -21024154 Product of -1 and 22603575. -22603575 -1612 times -68.857 110997.484 What is the product of 106926.74 and -3? -320780.22 What is the product of -0.63281 and 14158? -8959.32398 Work out -17.9749 * 3. -53.9247 2.14963327 times -2 -4.29926654 4*-0.0973776 -0.3895104 Product of 9.99 and -0.167. -1.66833 What is 0.080812 times 1.099? 0.088812388 Multiply -186 and -6579.8. 1223842.8 Product of 34569 and -835. -28865115 Multiply 0.01849 and -82226. -1520.35874 Work out 1.6 * -23653426. -37845481.6 What is 3 times -15116471? -45349413 Work out 0.06129 * 10828. 663.64812 Calculate -483*30849.7. -14900405.1 What is the product of 28982 and -10004? -289935928 Product of 1.3 and 85971. 111762.3 What is 0 times 2929.23? 0 Product of 0.1 and -641610. -64161 What is -104.0608 times 21? -2185.2768 Work out 6.15 * -2094. -12878.1 Product of 4 and -2479.327. -9917.308 Calculate -0.3*-196865. 59059.5 Work out -0.10228 * 1.027. -0.10504156 -0.19 times -754237 143305.03 -1130430865*-0.3 339129259.5 Calculate -753*85525. -64400325 Calculate -1.1*2230.5. -2453.55 Calculate -1035789*118. -122223102 Work out -8774040 * 3. -26322120 What is the product of -33 and 1.526688? -50.380704 What is -6.3659 times -57? 362.8563 -17 times 1426775 -24255175 Calculate -11.199601*-0.021. 0.235191621 Multiply -4645 and -37.69. 175070.05 What is 117554322 times -0.3? -35266296.6 16273856 times 0.13 2115601.28 18 * 38758.49 697652.82 Work out -1481 * -29.4. 43541.4 -84608 * -0.054 4568.832 What is the product of -0.5 and 42029.35? -21014.675 What is the product of 285 and 49675.5? 14157517.5 Product of 145.9322 and -55. -8026.271 Work out 1280 * 4523.3. 5789824 85.06538 * -8 -680.52304 31728 times 5.59 177359.52 Work out -15429 * 536. -8269944 What is -4357 times -14128? 61555696 Work out -30370 * 0.134. -4069.58 Work out -210958 * 1014. -213911412 Work out 1546819 * -346. -535199374 -4*-1222949 4891796 What is 0 times -5786065? 0 What is the product of -0.54967 and -266? 146.21222 -3371 * 8404 -28329884 Multiply 5 and -10.417521. -52.087605 2021514.8 times -10.3 -20821602.44 Work out 50313 * -492. -24753996 Product of 922 and 2783. 2565926 -0.4*5856 -2342.4 What is the product of 87912939 and -2? -175825878 Product of 36 and 21788.6. 784389.6 What is 109840 times -0.34? -37345.6 What is 22 times -50597.8? -1113151.6 -2465.569*-3 7396.707 What is 1.22 times -2529425? -3085898.5 Work out -19 * -50746. 964174 Work out 4.1159 * 615. 2531.2785 Multiply 204701413 and 0.3. 61410423.9 59 * 3366857 198644563 What is the product of -1.26 and 25.6451? -32.312826 Work out -25 * 11.555058. -288.87645 Product of 873 and -397998. -347452254 -6.636767 * 0.1 -0.6636767 What is 2523091.5 times 0.5? 1261545.75 Product of -0.3 and -24558.95. 7367.685 208 times -3767 -783536 Calculate -7.7*25388. -195487.6 Calculate 570.59*7658. 4369578.22 Work out 39233 * -116. -4551028 Multiply -0.0013 and 1356.383. -1.7632979 Multiply -8 and -102317424. 818539392 Calculate -717500*-1. 717500 Product of 3.9 and 1460568. 5696215.2 Calculate -1198046.52*1. -1198046.52 881*446.875 393696.875 Multiply 1520.32 and 0.71. 1079.4272 Multiply -0.02 and 6.11582. -0.1223164 Product of 5374 and 491. 2638634 32.185 * -0.316 -10.17046 Work out 0 * -675.27. 0 -3.038914 times -0.1 0.3038914 -0.4 times -472.2553 188.90212 -1292851 times 91 -117649441 What is the product of 7 and 0.3731? 2.6117 What is the product of -43716 and -4.56? 199344.96 Multiply 1110 and 7019. 7791090 Multiply 1582431 and -0.41. -648796.71 Calculate 358191*-0.14. -50146.74 Product of -565.49864 and 2. -1130.99728 1662.83 * 1.27 2111.7941 Work out -60726 * 90. -5465340 1021 * 3.38485 3455.93185 What is the product of 52545.037 and -0.2? -10509.0074 7272817 * 5 36364085 What is -27.9 times 15.208? -424.3032 Multiply -1 and -1644362. 1644362 Work out 17 * 41338534. 702755078 Work out 0.1573768774 * -0.5. -0.0786884387 27289 * -290 -7913810 -14233737*0.1 -1423373.7 Product of -232686 and 0.0415. -9656.469 What is the product of 1.3526 and 5667.6? 7665.99576 What is the product of 23 and -348335? -8011705 Product of 28 and -436186. -12213208 Multiply -0.19 and -18992676. 3608608.44 What is -0.4 times -7.455858? 2.9823432 87 times 474.025 41240.175 0.04 * -3.83546 -0.1534184 Product of -36.29208 and 7. -254.04456 Multiply -6847 and -0.1007. 689.4929 -0.07569584 times 1.9 -0.143822096 -0.796089 times -0.16 0.12737424 -0.653*-0.28977 0.18921981 What is -5013 times -1.774? 8893.062 Calculate -10771*77. -829367 Product of 11.8 and -7.748165. -91.428347 0.0628*-4.4142 -0.27721176 -0.155 * 43241 -6702.355 What is the product of 0.8772 and 3.8? 3.33336 Work out -0.967 * -379854. 367318.818 Product of -100.229 and -0.202. 20.246258 -0.3 times 25391.16 -7617.348 Multiply 15.2411 and 3.68. 56.087248 Work out -0.0898836 * -10.1. 0.90782436 Calculate -9523*-3.4. 32378.2 What is 0.073 times 377827.1? 27581.3783 Product of 1.24453 and 1.9. 2.364607 What is the product of 0.23689 and 3860? 914.3954 What is 4061220.9 times 0.1? 406122.09 Calculate 5916*-742. -4389672 What is 277347.2 times 0.3? 83204.16 Product of -10 and 6008910. -60089100 -90 * -1381488 124333920 5 * -30.482057 -152.410285 What is the product of 0.1593 and -0.21819? -0.034757667 Product of -0.012 and 0.0184589. -0.0002215068 Calculate 26466*-141.8. -3752878.8 What is the product of 6 and 0.668478? 4.010868 Work out -26.10331981 * -1. 26.10331981 -0.2*14592134.6 -2918426.92 -0.2463916 times 0.5 -0.1231958 Multiply 0.3 and -502.8467. -150.85401 What is the product of -3617274.1 and 0.2? -723454.82 0.30713481 times -12 -3.68561772 Product of 0.09 and 319914. 28792.26 -0.25 times 47018.63 -11754.6575 What is -10369 times 15.2? -157608.8 0.1*-41461200 -4146120 Work out -0.3 * 4301536. -1290460.8 Product of 5 and -5806.897. -29034.485 What is -10.8 times 31483? -340016.4 -2.2627*79.2 -179.20584 What is -457173 times 2.8? -1280084.4 -46 * 0.57732 -26.55672 -6099672*-1.9 11589376.8 Product of 127157 and -60.5. -7692998.5 -0.1859258 * 24 -4.4622192 89 * 701042 62392738 What is the product of 130 and 109009? 14171170 What is 0.5 times 18802769? 9401384.5 What is the product of 26.34841 and -1? -26.34841 Product of 48845 and -0.056. -2735.32 Multiply 0.3 and -65922. -19776.6 Product of 3968 and -26.617. -105616.256 125944.07 * 0.5 62972.035 Product of -1 and -0.155763. 0.155763 What is 0.041 times 524449? 21502.409 Calculate 60.8*-129.025. -7844.72 Multiply 2712076 and -13. -35256988 Calculate 0.0758*0.001868. 0.0001415944 -41 * -24159 990519 38428032 times 3 115284096 Work out 0.4 * -265704. -106281.6 Multiply -8920593 and 173. -1543262589 Multiply -15.60654 and 5. -78.0327 6.244*23.12 144.36128 What is the product of -8 and -1.482063? 11.856504 What is -394.946 times -0.01? 3.94946 -55*-802946 44162030 What is the product of 372 and 41091? 15285852 Product of -1745.66735 and 0.5. -872.833675 What is the product of 48323 and -15.03? -726294.69 Product of -452795 and
{ "pile_set_name": "DM Mathematics" }
alculate the common denominator of s and ((-188)/(-32))/(22/c). 198 Let o = 19946/13 - 1536. Let j = 10722459371/665 + -16124004. Let r = j - -22/95. Find the common denominator of r and o. 91 Let u = -48404 + 481961/10. Suppose 2*h = 2*a - 1 - 417, 3*h + 5*a = -595. Let x = u - h. Find the common denominator of x and 131/24. 120 Let q(z) = 3*z**3 - 3*z**2 + 3*z - 2. Let r be q(2). Suppose 3*t - r = 8. What is the smallest common multiple of t and (-3 - (-39)/9)/((-30)/(-945))? 168 Suppose -o - 550 = 4*o. Let a = 9483 - 208521/22. Find the common denominator of o*(68/64 + -1) and a. 88 Let k = -1877/1309 + 1/187. Let p(z) = 7*z - 19. Let b be p(3). Find the common denominator of k and (b/24*-2)/(28/3906). 28 Let v(b) = -1 - 5*b + 2 - 6*b - 7*b. Calculate the smallest common multiple of 3 and v(-1). 57 Let o = -33903 - -3865073/114. What is the common denominator of 45/22 and o? 1254 Let u = -32 + 51. Calculate the common denominator of (-2)/(-13) - -2*u/(-416) and 67/2. 16 Let r = 4847/3 - 1595. Calculate the common denominator of (-1414)/60 + 38/95 and r. 6 Suppose 0 = -0*x - 2*x - 3*r + 5, 3*r = 2*x + 1. What is the least common multiple of 14 and x? 14 What is the common denominator of -161/78 and -10 + (1186/104)/1? 156 Let o(i) = i**2 + 12*i + 11. Let g be o(-12). Let n = g + 1. Calculate the least common multiple of n and 8. 24 Suppose -2*v = 3*v + 3*g - 132, 2*v = -4*g + 64. What is the least common multiple of 4 and v? 24 Let p = 813/16 + -9351/184. Find the common denominator of 131/6 and p. 1104 Suppose -4*n - 4 = -p - 0, 3*n = 0. Suppose -p*d + 0*d = -13832. Let z = d + -48459/14. Calculate the common denominator of z and -7/10. 70 Let q = -388 - -391. Calculate the lowest common multiple of 27 and q. 27 Let l = -34823/6 + 5823. Calculate the common denominator of -46/15 and l. 30 What is the smallest common multiple of 3330/37*(-8)/(-3) and 80? 240 Let d(y) = -y**3 + 5*y**2 + 16*y + 7. Let m = 100297/109100 - -3/4364. What is the common denominator of d(7) and m? 25 Let a = 84462983/197756 + 7272/3803. Let j = a - 429. What is the common denominator of j and 77/20? 260 Suppose -b - 4*h + 2 = -20, 5*h = -3*b + 38. What is the smallest common multiple of b and 73? 438 Let q(g) = -g**2 - g + 22. Suppose 0 = 3*u + 2*c + c - 9, -12 = -2*u - 4*c. Calculate the lowest common multiple of q(u) and 22. 22 Suppose -2 = 2*v - 4, -4*d + 13 = v. Find the common denominator of 97/64 and d/(-72)*996/8. 64 Let y(k) = -k**3 - 2*k**2 + 0*k**2 - 5*k**2 - 2*k + k**2 - 9. Calculate the least common multiple of y(-6) and 4. 12 Let a(k) = k**2 + 6*k - 5. Let t be a(-7). Let y be t + -1 - (-88915)/(-70). Let h = -1268 - y. What is the common denominator of -97/2 and h? 14 Find the common denominator of 109/12 and 20/50 + 3/(-840)*57. 168 Let n = -1122 - -1166. Calculate the smallest common multiple of n and 104. 1144 Suppose -a - z + 3 = 4*z, 2*z = 2*a - 6. Suppose -a*i + 64 = k, -i + 32 = -8*k + 3*k. What is the least common multiple of i and 32? 352 Let c(v) = -35*v - 139. Calculate the smallest common multiple of 6 and c(-4). 6 Let w = -27503 - -5461. Let g = w - -485005/22. Let a = 1207/150 + 378/25. Find the common denominator of a and g. 66 Let x(f) = -f + 27. Suppose -5*d = -5*g + 4*g + 51, 0 = -3*g - 3*d + 63. Calculate the smallest common multiple of 13 and x(g). 13 Let v = 0 + 12. Let c = -2 + -14. Let w = v - c. What is the common denominator of w and 59/2? 2 Let v(g) = 23*g + 149. Calculate the least common multiple of 68 and v(-5). 68 Let j(s) = -s**3 - 19*s**2 - 22*s - 99. Let k be ((-148)/5)/(486/73). Let b = k + 2/1215. Calculate the common denominator of b and j(-18). 9 Calculate the common denominator of 3305/(-560) + 10 - (0 + 4) and -49/48. 336 Let s(o) = -o**3 - 15*o**2 - 14*o + 11. Suppose -8*w - 54 = w. Let k = w + 10. Calculate the smallest common multiple of s(-14) and k. 44 Let n be 28 + (-20)/(-5) + -8. Suppose 9*t = 13*t - n. What is the least common multiple of 2 and t? 6 Let a(u) = 2*u + 4. Let o be a(-3). Calculate the smallest common multiple of o + (-24 + 4)/(-1) and 12. 36 Let a = -9335/6 + 1559. Calculate the common denominator of a and -30/833. 4998 Let z = -14115 - -465844/33. Calculate the common denominator of z and 71/63. 693 Let m = -1/10586 + 730499/688090. What is the common denominator of m and 22/15? 195 Let v = -461 - -471. What is the lowest common multiple of -2*(-1 + (-1)/2) and v? 30 Suppose -90 = 30*u - 35*u. Suppose 4*c - u = -2. Calculate the lowest common multiple of 12 and c. 12 Let s = -3/6260 + 266083/68860. What is the common denominator of s and 121/36? 396 Let n(w) = -w + 6. Suppose 304 = 26*i - 398. What is the least common multiple of n(-6) and i? 108 Let c = -111 + 66. Find the common denominator of (-9)/c - 473/90 and 85/8. 72 Let x be 1*5/(4 - -1). Suppose 0 = 3*b + 1 - 4. Let q = b + x. What is the least common multiple of 8 and q? 8 Suppose 122 = 2*c + m, -9*m = -3*c - 10*m + 182. Calculate the smallest common multiple of c and 30. 60 Calculate the common denominator of (-27)/(-108) + (-163)/(-12) and -11/1784. 5352 Let w = 1389 + -2786. Let t = -233964 - -1162808/5. Let v = t - w. Find the common denominator of -39/7 and v. 35 Let q be 0/(-4) - (-1)/(-1). Find the common denominator of 83/8 and (q/(-5))/(16/(-188)). 40 Let q be (-1197)/12 - (-2)/(-8). Calculate the common denominator of 61/2 and q/6 - (-3 - 0). 6 Let b = 4878456/7525 + -28014/43. Let y = 87881/25 + -3514. Let z = y - b. What is the common denominator of 38/3 and z? 21 Suppose 149 + 61 = -3*l. Find the common denominator of 700/(-48) + 2 + 0 and (-4)/(-10) - (-223)/l. 84 Let v = 8 - -8. Suppose -v = 2*j - 26. Let s(a) = a + 5. What is the smallest common multiple of j and s(-4)? 5 Let n = 4514/623 + 79093949/11214. Let w = -7063 + n. What is the common denominator of (-73)/(-52) + (-1)/(-4) and w? 234 Let z = -704310316427/1590 + 442962444. Let o = 16698 + -13274906/795. Let x = z - o. What is the common denominator of x and 47/6? 6 Let a(y) = 5*y**3 - 3*y**2 + 5*y - 1. Let k(o) = 3*o**2 - 2*o - 1. Let b be k(-1). Let f be a(b). Find the common denominator of f/21*2/(-4) and -83/8. 56 Calculate the smallest common multiple of 144 and ((-1000)/800)/(1/(-128)). 1440 Suppose -4*c - 7*c + 11 = 0. Suppose 5*l - 51 + 7 = 2*u, l + 4*u = 0. What is the common denominator of c and l/(-28) + 171/(-14)? 2 What is the least common multiple of 242 and (3 - 352/(-33)) + 2/6? 1694 Let r = 22684/7 - 3235. What is the common denominator of r and 1 + 146/(-10) + 2? 35 Suppose 0 = -4*w - y - 325, -w + y - 395 = 4*w. Let h be 12899/w*(-708)/12510. Let r = h - 2/10425. Calculate the common denominator of r and -89/4. 8 Calculate the common denominator of ((-1)/((-6)/(-21)))/((-207)/(-253)) and -53/358. 3222 Let p = 692809/72 + -9623. Calculate the common denominator of 73/64 and p. 576 Find the common denominator of 62/((-2)/(-1 - (-6)/12)) and -35/2. 2 Let p = 45157841/350 + -129022. Calculate the common denominator of p and 59/35. 350 Suppose 0 = 5*h - 2 + 17. Let b be (-116)/46 + h/(-6). Let n = -1825/368 - b. What is the common denominator of n and -61/2? 16 Let r = -1773 - -1754. Find the common denominator of r and 0 - 38/(-3) - 0. 3 What is the common denominator of -23/105 and (-4)/10*1/14? 105 Let p be -1163*(-8)/(-231) - -2. Let r = p - -269/7. Calculate the common denominator of -17/15 and r. 165 What is the common denominator of (-894)/(-4)*(-1)/(-9) and 2499/(-132) - (-4)/22? 12 Let t be 145/(-171) - (-2 - -1). Let j be 54/(-27) - 5407/1710*-4. Let m = t + j. What is the common denominator of 83/6 and m? 30 Suppose 0 = l - 5*m - 125 + 34, 0 = 5*l - 3*m - 455. Calculate the lowest common multiple of 78 and l. 546 Suppose 2*a - 4*k = 22, -3*k = -3*a + 8*a - 68. Calculate the least common multiple of 78 and a. 78 Let t = 671 - -793. Calculate the smallest common multiple of 9 and t. 4392 Let c(m) = m + 11. Let f be c(-5). Find the common denominator of (-1)/2 + (-137)/f and ((-67)/20 - -2)*8. 15 Let c(j) = 4*j**3 - 6*j**2 - 3*j + 15. Calculate the smallest common multiple of 78 and c(3). 780 Let r be 4*3/18*30/4. What is the common denominator of -139/6 and r + (-196)/35 - (-3 + 2)? 30 What is the common denominator of ((-95)/(-6
{ "pile_set_name": "DM Mathematics" }
z*z/(z*(z*z**(-29))/z)*z)**(4/5)*z**(-12/7)*z*z/(z/((z*z**(1/15))/z))*z)**(-14) assuming z is positive. z**(-5282/15) Simplify (i**(-3)/(i**(-6/5)*i))**(-27/2)*((i/(i*(i*i**0)/i)*i)**(2/41))**(-39) assuming i is positive. i**(7359/205) Simplify (p**(-3/4)/(p*p**(4/3)))/((p/p**5)/(p**(-1/7)*p))*((p/(p/p**(1/3))*p)/p)**(-2/13)*p/(p*p*p**(-3/4))*p/p**(2/3)*p*p assuming p is positive. p**(1039/273) Simplify (n**(-5)*n*n/(n/n**(-2/19))*n*(n/(n*n**7))/(n/n**(-1/5)*n))/((n**(-2/3))**20)**(-13) assuming n is positive. n**(-52907/285) Simplify ((((l/(l/(l/(l*(l**(15/2)*l)/l)*l*l*l)))/l)/(l**14*l))/(l*l/(l**(-3/4)*l)*l)**(-1/27))**(2/133) assuming l is positive. l**(-2203/7182) Simplify (((b**5/b*(b*b**(2/7))/b)/(b**(-4)/(b*(b/(b/(b**(-4)/b)))/b*b*b)))**(2/73))**(-2/53) assuming b is positive. b**(-148/27083) Simplify ((p**(-7)/(p**(1/2)/p))/(p**(-2)*p**(-5)))/((p**1)**(6/13)/(p**(-1/4)*p*(p/((p*p/p**(2/15))/p))/p)) assuming p is positive. p**(-61/780) Simplify ((y**(2/5)*y**6)/(y**(-1/4))**(3/5))/((y*y**(-1))**28/(((y*y/y**(-3))/y*y)/y**(-2/11))) assuming y is positive. y**(2581/220) Simplify (g*(g*g*g/g**(-1/13)*g)/g*g*g**(-5/3))**(-34)*(g*g*g/(g*g*(g**(-1/4)/g)/g)*g)/(g**(-2/9)*g)*(g**(-2)*g)**(-35) assuming g is positive. g**(-36259/468) Simplify ((b**(4/9)*b/(b*(b**(-4/3)/b)/b))/(b**(-1/2)*b*b**(2/11)*b))/((b**(5/3)*b**(3/2)*b)/(b*b/b**5*b**(-2/5))) assuming b is positive. b**(-2708/495) Simplify ((t**(1/2)*t)**(1/65)*t**(-16)/t*t*t/(t**(-18/11)/t))**(1/8) assuming t is positive. t**(-17647/11440) Simplify l**(-7)*l**(-2/3)*(l*(l**1/l)/l)**(-19)*l**(-4/3)*l*(l/((l**(1/2)/l*l)/l)*l)/l*((l/(l**(4/7)/l))/l)/(l*l*l*l**7*l) assuming l is positive. l**(-239/14) Simplify (c/(c*c*c*(c/(c/(c**1/c)))/c*c*c))**(-3/2)*(c**(-2/15)*c)/c**(-1)*c/c**(5/3)*c*c**6*((c**(-1)*c)/c)**(2/15) assuming c is positive. c**(377/30) Simplify (s**(-3)*s**(-1/7))**(-14)/((s*s**1)**30)**(-2/193) assuming s is positive. s**(8612/193) Simplify a**(-2/89)/(a*a**(-11))*(a*a*((a*a*a**(7/9))/a)/a)/a**(-9/4) assuming a is positive. a**(48077/3204) Simplify ((((v*v**(-1)*v)/v)/v*v)**(-8))**(-2/61)*(v**1)**46*(v/v**(-5))/v*v**6/v assuming v is positive. v**56 Simplify ((q**(-1)*q*q)**45)**(4/3)*(q**(2/7)*q*((q/q**4)/q)/q)**(-19) assuming q is positive. q**(914/7) Simplify ((w**(3/7)*w**(-1/8)/w*w)/(w**(-1/2))**(-24))/(w**6*w/(w*w*w**(-3/2))*w*w**4*w**(-1/5)) assuming w is positive. w**(-6439/280) Simplify (y**(-28))**12/(y**25*y*y**33*y) assuming y is positive. y**(-396) Simplify (z**12/(z**(-43)*z))/(z**38/z**(3/13)) assuming z is positive. z**(211/13) Simplify (f**(2/7))**(-34/3)/(((f*f**18)/f)/(f*f**(-16)/f)) assuming f is positive. f**(-782/21) Simplify (u**(-5)/(u/(u*u**(-8)*u)*u))/((u*u**34/u)/(u/u**(5/7))) assuming u is positive. u**(-327/7) Simplify (((a/(a/(a*a/(a**(1/9)/a*a)))*a)/(a/a**3))/(a**(-6)*a**(-1/4)*a))/((a**(-1/5)*a**(-2/7)/a)/(a**(-3/2)*a/(a**(-3/5)*a))) assuming a is positive. a**(13513/1260) Simplify (((v**(1/7)/v)/(v/v**(11/3)))/(v/(v*v**(-2/33))*v**(-11/4)))**10 assuming v is positive. v**(20785/462) Simplify (t/(t**(-43)*t))**(-44)*t**(5/3)*t**11 assuming t is positive. t**(-5638/3) Simplify (q**6/((q*(q*q**(1/5)*q)/q)/q))**1/((q**(-4)/q)/(q**(-6)/q*q*q)*(q/q**(3/2))/(q*q**(-2/7)/q)) assuming q is positive. q**(351/70) Simplify ((q/q**(-1/2))**50*(q**7*q*q)/(q/q**(-4/5)))/((q**(1/2))**9)**44 assuming q is positive. q**(-579/5) Simplify (((s/(s/(s*s**(-2/3)/s))*s*s)/s**(-5/3))/((s*s*s**(4/5)*s)/(((s**(3/2)/s)/s)/s*s*s)))/(s**(-3/4)*s*(s**(-11)/s)/s)**(-12/11) assuming s is positive. s**(-1563/110) Simplify (t*t**1)**(-46)/((t*t*(t**(-5/4)*t)/t)/((t*((t*t/t**(2/9))/t)/t)/t))*(t**0)**10*(t/((t*t**(-1/3)*t)/t)*t)**(-30) assuming t is positive. t**(-4787/36) Simplify ((o/(o*o**(1/6)))/o**(1/8)*(o**(-1/4))**(-4))/(((o*o**(-3/4))/o)/((o*o**(3/7))/o)*o/o**(-6)*o/(o**(-2/3)/o)) assuming o is positive. o**(-1307/168) Simplify ((u**(-7)/(u*u/((u/(u/(u**5*u)))/u)*u))/(u**3*u*u**(1/14)))/(((u*u**(-2/7)*u)/u*u)**(1/51)*u**(-1/2)/u**(1/5)) assuming u is positive. u**(-5001/595) Simplify ((v**14/v**(-3))/(v/v**(-3/4)*v**(-1/8)))**(-3/19) assuming v is positive. v**(-369/152) Simplify ((j**(-6)/(j**(-1/20)*j))/(j*(j/j**(-2/7)*j)/j*j)**13)**(-34) assuming j is positive. j**(118201/70) Simplify (j**(-2/7)*(j/((j**(-4)/j)/j))/j*(j**1*j)/j**(-3))/(j**(-2/7)*j**(-1)*(j**(-1/3))**(-2/75)) assuming j is positive. j**(2698/225) Simplify ((a**(2/5))**(-2/129))**14*((a**(2/7))**(-2/93))**(-16/9) assuming a is positive. a**(-95608/1259685) Simplify (p/(p*p**(-4))*p/(p**1*p))/(p**(1/3)/p**(-1/2))*(p**6/(p/(p**(2/7)*p)))/(p**(-6)*p*p**(-5)/p) assuming p is positive. p**(817/42) Simplify (((b/(b*b*b/(b**(3/5)/b))*b)/b)/((b/b**(-2)*b)/b))/(b**(2/5)/b)**(-32/3)*((b**(1/2))**(-44/7))**18 assuming b is positive. b**(-2393/35) Simplify ((j*((j*j/((j**(-4)*j)/j))/j)/j)**5/(j**39*j**41))**48 assuming j is positive. j**(-2640) Simplify ((v*v**(9/2))/v*v**9*v**(-4)*v*v**(-3/8))**(-2/11) assuming v is positive. v**(-81/44) Simplify ((q*q**2*q)**2)**50/((q**(2/7)*q)**(-2/83))**(-48) assuming q is positive. q**(231536/581) Simplify ((((v*v**1*v)/v)/(v/v**(2/3)))/((v/(v**(2/13)/v))/(v/v**(1/6))))/((v**(-2/3))**(-9/11))**(-28) assuming v is positive. v**(4555/286) Simplify ((z**3/z*z*z*z**6)/(z**2/((z/z**(1/8))/z)))/(z**2/(z**4/z*z)*z/z**(-9/2)*z**7) assuming z is positive. z**(-21/8) Simplify (c/(c*c**4*c)*c/c**(-1/6)*(c**(-5/4)*c*c*c)/((c/(c**(-1)/c))/c*c))/((c**(-6)/c*c*c**(-1/4))/((c/c**(1/2))/(c**(-4/7)/c*c))) assuming c is positive. c**(47/21) Simplify (d**(1/5)*((d/(d/(d*d*d*d*d*d/(d*d**(2/11)*d)))*d)/d*d)/d)**(-1/5)/(d**(1/22)/d**(-7))**(-4/19) assuming d is positive. d**(3551/5225) Simplify ((w**(-13/4)*w**(1/2)*w)/(w**(1/6))**(6/7))**(-18) assuming w is positive. w**(477/14) Simplify ((n**(-1/4))**(12/11)/(n/(n**(-2/3)*n*n))**(26/7))/((n**(-1/2))**(-15/8)/(((n*n**0*n*n)/n)/((n/(n*n/(n*n**(1/2)*n)))/n))) assuming n is positive. n**(5647/3696) Simplify ((g/(g/g**(-2))*g**1)/(g/g**(6/13)*g)**40)**(-2/37) assuming g is positive. g**(1626/481) Simplify ((g**(1/13)/g)/(g/g**40))/(g**(-2/85)*g/g**(-17)) assuming g is positive. g**(22211/1105) Simplify ((h*h**(1/8)/h)**7/(h**(-6)/h**(1/12)))**39 assuming h is positive. h**(2171/8) Simplify (g*g*g/(g*g/(g*g**1)))**(4/5)/((g**(1/3)/g)/(g/(g*g/g**(2/5))))*((g/g**(-2))**(-43))**(-3) assuming g is positive. g**(5842/15) Simplify (o**28)**(-12/11)/(o*o**(-5))**(-2/125) assuming o is positive. o**(-42088/1375) Simplify ((((w/w**1)**41)**(-24))**29)**(-6/11) assuming w is positive. 1 Simplify ((((w/((w/((w*w**(-2/3))/w)*w)/w))**(-1/69))**33)**(-11/2))**(1/12) assuming w is positive. w**(-121/828) Simplify (((q**(1/4)/q)/q*q*q)**(-44)/(q*q/(q**(-1)*q*q))**(-50))/((q**(1/2)*q**1)/(q/(q/(q**6/q))*q/q**(1/2))) assuming q is positive. q**43 Simplify (((u/((u*(u*u/(u**(-2/11)/u*u))/u)/u*u*u))**(-2/131))**(-29))**43 assuming u is positive. u**(-59856/1441) Simplify (v**(-1/12)/v*v*v*v*v*v**(-2/15)*v)/((((v*v**2*v*v)/v)/v)/v)**(2/39)*(v**(-5)/v**7)/(v**(-2/11))**4 assuming v is positive. v**(-21713/2860) Simplify (((n**(-1/9)*n)/n)/n*n**6)**(2/55)/((n*n/n**(2/13)*n**(-1/10))/(n**(1/2))**(-5/14)) assuming n is positive. n**(-5723/3276) Simplify (b*b**(1/2)/b*b**(2/23)*b*(b*b**(-2/9)/b)**(-43))/(b**(-2/11)*b**(-1/9))**(-31) assuming b is positive. b**(9389/4554) Simplify ((k/k**(1/2)*k)/(k/k**6))/(k/k**(-2/7))**41*k**(-3/5)/(k*(k*k*(k*(k*k**5/k)/k)/k)/k*k*k)*k*k/k**(1/3)*k*k**(1/10)*k assuming k is positive. k**(-1072/21) Simplify (m**0)**(-22)/(m*m**(-3/5)*m*m/(m/(m*m**4)))*m**6/(m*m**(-3/4))*(m/m**(-5))/m**(-1/4) assuming m is positive. m**(28/5) Simplify ((m*m*m/(m**(-1)*m*m*m))**2*(m*m**(-3))/m*(m**(-4)*m)/m)/((m**(-2/11)/m*m**(1/3))/(m**4/(m*m*m**(-4/5)*m*m))) assuming m is positive. m**(-553/165) Simplify ((u*((u*u**(-5/9)/u)/u)/u)/u*u**44)/(u**42*u*u**(-1/40)) assuming u is positive. u**(-551/360) Simplify ((p**(1/17)*p*p)**(3/31)/((p*p**0/p)/(p*p/p**10)))**20 assuming p is positive. p**(-82220/527) Simplify (u*u**(1/2))/u**1*u**(-7)*u**(-6)*(u/(u**(-2/7)*u))**(2/3)/(u/(u*u**(-1/3)/u)*u)**(-22/3) assuming u is positive. u**(605/126) Simplify (((z/z**(2/3))/z)**17*(z*z**(-2/3)*z)/((((z*((z/z**(1/2))/z*z)/z)/z)/z)/z))/((z*z*z*(z/((z/z**(-1/4))/z))/z)**(-6/11))**
{ "pile_set_name": "DM Mathematics" }
9 = 0, 4*a - g = -4*i - a for i. 4 Let x(g) = g + 9. Let r be x(5). Let u be (r/(-5))/((-4)/10). Solve k + 6 + u = 5*t, -4*t + 2*k + 14 = 0 for t. 2 Suppose 4 - 5 = -o. Let t be (1 - 2 - o) + 2. Solve 3*m = -4*z + 5, t = 3*m + 4*z - z - 3 for m. -1 Let v be (-10 + -2)*2/(-6). Solve 2*x = -2*n + 10, -v*x + 5 = -3*x + 3*n for x. 5 Let i = -15 - -15. Solve 3*x - 2*t = -1, -x + 2*t = -i*t - 1 for x. -1 Let k(i) = -4*i**2 - 21*i - 3. Let r be k(-5). Solve 9 = 3*u + 3*p - 9, 16 = 5*u - r*p for u. 4 Let h = 16 + -7. Solve 0 = 3*z + 3*y - h, -3*y = -2*z - 5 + 6 for z. 2 Let t = -109 + 114. Solve 4*j = 3*p + j, 2*p = -t*j - 21 for p. -3 Let z be 6*(-11)/(-33)*(1 + 1). Let r(i) = i**3 - 5*i**2 - 5*i - 3. Let q be r(6). Solve 3*k + 31 = -5*o, -z*o = -2*k - q*k + 10 for k. -2 Let p(q) = -q**2 + 10*q - 1. Let h = 2 - -5. Let b be p(h). Solve 5*a + v - b = 0, -2*v = 3*a - 13 + 1 for a. 4 Let c be (-1 + 1)/(2 - 1). Suppose 0 = l + 5*y - 18, 4*l = y - c*y + 51. Solve g = 2, 5*g + 5 - l = -k for k. -2 Let y be (-2)/6*(-9)/1. Suppose 2*j + 17 = 4*w - y*j, 5*w + j = 14. Solve 0 = 5*c - r + 7, w*c = c + 2*r - 6 for c. -1 Let t be (-10)/30 + 7/3. Solve b - x + 2*x - 7 = 0, t*b + x - 11 = 0 for b. 4 Let a = 10 - 11. Let s be (-2)/(a*(-3)/(-6)). Solve 7*k = 2*k - u + 12, s*k = -u + 10 for k. 2 Suppose 8 = -5*g - 5*o + 38, 4*g = 5*o + 15. Solve -2*d - t + 10 = -g*t, -4*t - 12 = 0 for d. -1 Let u be 10/(-14) - (-2)/(-7). Let r be (-3)/(-1)*(-1)/u. Suppose r*l = 19 - 7. Solve l*o + 4*j = -28, -j = 2*o - 0*j + 10 for o. -3 Suppose -3*s + 4 = -5. Solve -p - 17 = -4*p - 5*f, 3*p = -s*f + 15 for p. 4 Suppose -y = 3*l - 6*y - 10, -4*l = 4*y - 24. Solve 0 = q + l*a - 25, -4*q + 9*q - 37 = -3*a for q. 5 Suppose 4*i = -2 + 14. Let n = 9 - 6. Solve -6 = i*x + z - 2*z, n*x = 5*z - 6 for x. -2 Let h = -64 + 97. Let b = 15 + h. Suppose 4*a - b = -16. Solve -2*d + 25 = 5*n, 0*n = n + d - a for n. 3 Let t = -7 + 7. Suppose 4*d - 2*d - 6 = 0. Suppose t = u - d*u. Solve 5*z - 25 = u, -p + z + z = 6 for p. 4 Let w(i) be the second derivative of -i**5/10 - i**4/3 - i**3/2 - i**2 + 3*i. Let f be w(-2). Solve 0 = 5*c + 5*x, -5*c + 5*x - f*x + 24 = 0 for c. 4 Suppose 5*b = 2*n - 14, 3*n - 11 = 2*b + 3*b. Let d be (2/(-3))/(1/n). Let i(f) = -4*f - 33. Let s be i(-9). Solve -d*g = -4*c - 14, s*g + 0*c - 17 = 2*c for g. 5 Let o be 0/1 + 0 - (13 + -23). Solve 0 = -4*l - b - 7, 2*l - 2*b + o + 6 = 0 for l. -3 Suppose -5*t - 19 = -4*v, 0 = 2*v + 3*t - 12 - 3. Suppose 8 = 2*g - v*g. Let s = 6 + g. Solve -s*q = 5*n - 10, 5*n = -0*q + 5*q + 10 for q. 0 Let o = -8 + 35. Suppose -5*z = -z + l - 17, -5*z + 23 = 3*l. Suppose -z*c - 19 = -79. Solve -c = -4*g - 0*g - a, 5*a = -4*g + o for g. 3 Let i(m) = m**2 - 2*m. Let c(n) = n**2 + 11*n + 18. Let h be c(-9). Let a be i(h). Solve 5*q + 5*r - 20 = a, -3*r = -2*q + q for q. 3 Let x be ((-4)/6)/(4/(-60)). Suppose 0 = 2*s + 5*i - 16 + 2, -5*i + x = 0. Solve -4*a - 1 = 5*t + 10, 2 = s*t for a. -4 Suppose 2*q - 6 = 2, -52 = -4*s - 3*q. Solve -5*h - 3*y - 2*y = s, h - 4 = 5*y for h. -1 Let s(x) be the first derivative of 5*x - 3 - 1/2*x**2. Let f be s(4). Solve -t = -z - f, 4 = 4*t + 3*z - 7 for t. 2 Suppose -u + 3*u + 6 = 0. Let q be (-8)/u + 2/6. Solve 4*x + 3*k + 0 = 1, -q*x - k + 2 = 0 for x. 1 Let p(x) = 5*x**2 - 1. Let t = 1 - -6. Suppose 4 = t*i - 3*i. Let k be p(i). Solve -2*q - 3 = -d + q, -3*d - k*q - 4 = 0 for d. 0 Suppose 5*r - 5*y = 5, 13 = 4*r - y - 3. Suppose -r*f = -23 + 3. Solve -3*k - f = 3*c + 17, c = -3*k - 17 for k. -5 Let u(x) = x**3 + 3*x**2 + 2*x + 4. Let q be u(-3). Let c be q/6 + 39/9. Solve -4*p + 9*j = c*j + 17, -3*p - 5*j + 31 = 0 for p. 2 Let y be (2*-1)/6*(-450)/10. Solve -k - y = -0*k + 4*h, 4*h + 9 = k for k. -3 Suppose q + 4*q - 8 = 3*h, 0 = -3*h + 12. Solve -3*c + 1 = -q*b, -5*c = -5*b - 0*b for c. -1 Let z(n) = 2*n + 3 - 5*n + 0*n + 2*n. Let s be z(0). Suppose s*a = 7*a - 16. Solve 0 = 3*i + 6, -a + 0 = -3*g + 2*i for g. 0 Let y be -1 + (-2 - (-6 + 3)). Solve -3*w + g = w - 6, y = 4*w + 2*g - 12 for w. 2 Let f(w) = w**2 + 13*w + 15. Let r be f(-12). Let k be (r - 0) + 23/1. Solve 4*j - k = -3*d - 0*d, 27 = d + 5*j for d. 2 Let h(r) = r**2 - 6*r + 5. Let i be h(4). Let k = 5 + i. Suppose -4*f + k*m + 8 = -16, 0 = -5*f - 4*m + 43. Solve 2*o = -4*g - 0*o + 12, -g - f = -2*o for g. 1 Let x = -43 + 49. Solve 3*k = 5*b + 10, -x = 2*k - 3*k - b for k. 5 Let b(f) = 3*f + 1. Let d be b(-2). Let x = d + 8. Solve a - 3*l + 16 = -0*l, 8 = -x*a - l for a. -4 Let z(j) = -j**3 + 7*j**2 + 3. Let l be z(7). Let u be (-240)/36*(-48)/10. Solve -5*k + 0*d = l*d - u, d + 12 = 4*k for k. 4 Let h be (-88)/33*(-3)/2. Solve -j - 3*g = -12, 0*j - h*j - 4*g = -16 for j. 0 Let r = -9 + -1. Let v = -5 - r. Solve 0 = v*h - u + 18, -5*h = -u + 5*u + 3 for h. -3 Suppose -11 = -15*d + 19. Solve -5*j + 3*n = -4, d*j = -j - 4*n - 15 for j. -1 Let g be (-8)/(-28) + (-12)/(-7). Let s be -2 + 0 - 2*-3. Suppose -u - 2 = -l - s*l, -u = 2*l - 19. Solve 2*t + u = -5*w, g + 1 = -w for t. 1 Let p be (-155)/(-35) - 4/(-7). Solve 5*q - p*a - 21 = 9, -5*a = -2*q + 15 for q. 5 Suppose 3*n - 44 = -4*h, -17 + 4 = -n - 3*h. Solve -5*q - 21 = -4*o, o + 2*q + n = -q for o. -1 Let f(t) = -2*t**2 + 53*t + 28. Let w be f(27). Solve -2*q - 12 = -5*g, 0*g - w = g + 3*q for g. 2 Let k be (-124)/(-44) - 4/(-22). Let z be k + -2 + -2 + -6. Let c = z + 15. Solve 2*s - c = -2*f, -5*f + s - 2*s = 0 for f. -1 Let z = 18 + -16. Suppose s + 2*n = -2*s + 3, 0 = z*s + 2*n. Solve 5*j + x - 3 = 0, 2*j + 2 + 2 = -s*x for j. 1 Let n be 8/3*(-3)/(-2). Solve n*b = -2*s - s + 27, 5*s - 31 = -2*b for b. 3 Let i(r) = -10*r - 4*r**3 - 5*r**2 + 4*r**3 - 6*r**2 - r**3. Let f be i(-10). Solve f = w + 5*u + 4, -4*w + u + 6 = w for w. 1 Let d(n) = 4*n + 5. Let x be d(0). Solve 22 = -x*w - 2*c + 4*c, -c + 1 = 0 for w. -4 Suppose -8 = -2*q - i, 4*q - 2*q - 3*i = -8. Solve -4*k - d - 17 = q*d, 1 = d for k. -5 Let d(b) = -2*b - 6. Let o be d(-3). Solve 0 = -s + 5*y, o*s = 2*s + y - 11 for s. 5 Suppose 0 = -3*x - 2*f - 37, -5*x - 3*f + f = 55. Let a(t) = -t**3 - 10*t**2 - 8*t + 10. Let s be a(x). Solve 3*c + s = y - 6, -4*y = 2*c + 14 for c. -3 Let s(h) = h**2 - 6*h - 6. Let v be s(7). Let p be -1 + 4/v - 1. Solve 4*y = -3*j - 25, p*y - 6 = 5*y - 2*j for y. -4 Let u be (1*-4)/2*-2. Let m be (-258)/(-54) + (-2)/(-9). Suppose 3*q - 90 = m*p, q - 8 = -3*p + 8. Solve 0 = 5*a - q, 3*v = -0*v + 2*a - u for v. 2 Suppose 4*x + 27 = 5*d, -4*d - x + 15 = -2*x. Solve v = d*h - 8*h - 11, -4*h - 8 = 0 for v. -1 Let x = 8 - 4. Suppose -w + x = -6. Solve 2*b + 3*b - w = 4*g, b + g + 7 = 0 for b. -2 Suppose 20 = 2*l - 2*a - a, l + 16 = -5*a. Suppose -3*t + 20 = l*k - 5*t, 2*k + 5*t + 14 = 0. Let u = 8 - 6. Solve 15 = -u*z - k*z, -z = -4*f - 9 for f. -3 Let t be ((-2)/(-4))/((-2)/(-4)). Solve 3*k - 3*s = 18, 2*s + 9 - t = 0 for k. 2 Let n(g) = 3*g**3 - 2*g - 1. Let y be (12/(-16))/(2/8). Let o = y + 5. Let s be n(o). Solve -2*k - 3*k = 3*a - s, 5*k - 10 = 0 for a. 3 Let y(u) = -u**3 - 5*u**2 - u + 1. Let t be y(-4). Let n(f) = -f**3 - 10*f**2 + 12*f + 15. Let r be n(t). Solve 5*m - 5*i - 10 = 0, -i = m - r*m + 4 for m. 1 Let u be 1*3 - (10 - 7). Solve u = 5*d, c - d + 2 = -3 for c. -5 Suppose 3*l - 12 = -l. Solve -11 = b + t - 2, -4*t - 32 = l*b for b. -4 Let p be 3/(-1) + -1 + 4. Suppose p = -t + 4*t - 33. Solve -t = 2*y + 2*f - f, -4*f = 20 for y. -3 Let y = 11 + -11. Suppose 5*b + 5 + y = 0. Let q be ((0 - 1) + 0)/b. Solve 2*u - 3 = -i, -4*u - 8 = -i + q for u. -1 Suppose o + o - 6 = 0. Suppose o*b - 2*b = 1. Solve l + 3*i = -1, 0*l + i = -l + b for l. 2 Let n = 36 - 32. Solve -3*w = 5*a - 22, 16 = 5*w + 5*a - n for w. -1 Suppose 0 = 3*i + 2*w - 16, 3*w = i - 2*i + 17. Suppose x + x - 2 = 5*v, 5*v = -5*x + 75. Let d = -8 + x. Solve d*t = 2*m - 1 - 5, 4*t + i*m = -8 for t. -2 Suppose 7*g - 6 = 4*g. Solve -x = x - 3*n + g, -x - 2*n + 6 = 0 for x. 2 Suppose 4*k - 4 = 0, -3*k = 3*c - 5*c + 121. Suppose -4*m + 25 = -5*y, -c = -9*m + 4*m - 4*y. Suppose -5*s + 10 = -m. Solve -v = 3, -s*v - 1 - 1 = 5*b for b. 2 Let l(a) = -a**3 - 6*a**2 - a - 2. Suppose 2*z - 24 = 6*z. Let r be l(z). Let d(u) = -u - 10. Let s be d(-13). Solve 4*o - 5*o = -4*j + 5, o = -r*j + s for j. 1 Let u = 21 - 21. Solve 2*g = 4*l - 0*l + 8, u = 5*l for g.
{ "pile_set_name": "DM Mathematics" }
be x/4 + (-135)/(-10). Solve 5*z - m = 7 for z. 4 Let i be 1/(2/(-1))*0. Suppose i = 2*l + 2*l. Solve f + l*f + 2 = 0 for f. -2 Let x(g) = -4*g**3 - 2*g**2 - g. Let s be x(-1). Suppose -j + s*j - 4*z - 24 = 0, 5*j - 55 = 5*z. Solve -j = -0*k - 5*k for k. 2 Let g be (2 - 4) + 1 + 1. Suppose g*i + 2*i = 4. Solve 0 = 2*d - i - 2 for d. 2 Suppose -g - 3*g = -2*a + 6, -3*g = -2*a + 2. Let z be g/4 - (-3 - 2). Suppose 27 = 5*f + 2*u, -3*f + z*f = -3*u + 8. Solve 0 = f*c + 26 - 1 for c. -5 Let d be (-2 - -2)/(-17 - -16). Solve 0 = -d*a + a + 4 for a. -4 Suppose v = -3*v + t + 15, 0 = 2*v - 5*t + 15. Suppose 3*q = r + q + 4, 5*q = 5*r + 20. Let i = r + 6. Solve 8 + i = v*w for w. 2 Let p be (30/9)/((-4)/(-6)). Suppose -5*c + 15 = p*a, -3*a + 2*c + 9 = -2*c. Solve 4*s + 1 + a = 0 for s. -1 Let n be 0 - -4 - (-1 + 0). Suppose -5*s = p + p - 14, -n*s + 7 = p. Solve -p + 2 = w for w. -5 Let x(h) = -h**3 + 8*h**2 - 7*h + 2. Let m(f) = -7*f. Let w be m(-1). Let s be x(w). Solve 2*z = -s*z + 12 for z. 3 Let w(x) = -2*x - 10. Let p be w(-7). Solve -5*v - p = 21 for v. -5 Let p = 16 - 11. Suppose 0 = 2*w - p*w + 9. Solve 9 = -w*i - 0 for i. -3 Suppose 0 = 2*n - 7*n. Let o(m) = 6*m**3 - 6*m + 10. Let a(s) = -s**3 + s - 1. Let p(l) = 5*a(l) + o(l). Let j be p(n). Solve -j = 2*g - 1 for g. -2 Let f(d) = 2*d**2 + 6*d. Let u be f(-4). Let y be u/3 + 2/6. Let k = 34 - 29. Solve y*j - 10 = k*j for j. -5 Let z(i) = -8*i**3 + 2*i**2 + 2*i + 1. Let g be z(-1). Let u = -2 + g. Solve 4*h = u*h - 15 for h. 5 Suppose -i - y - 1 = 0, 3*i - i + 3*y = -5. Let l be 6/(-9)*(-9)/i. Solve 0 = -5*j + l - 8 for j. -1 Suppose -5*v + 12 = -2*v. Suppose l + f = 0, 3*f - 4*f = v*l. Solve 1 + l = o for o. 1 Let m be 1/(-6) - 61/(-6). Solve 6*o - 4*o = -m for o. -5 Suppose -3*n + 15 = 0, a = -3*a + 4*n. Solve 0*h = -a*h for h. 0 Let u(q) = 1 + q**3 - 3 - 8*q + 6*q**2 - 5. Let r be u(-7). Solve 0*h + 2*h + 4 = r for h. -2 Let o(l) = l + 11. Let p be o(-5). Solve 5*w + 26 - p = 0 for w. -4 Suppose b + a = 10, -3*b + 4*a = -6*b + 32. Solve 4*c = -0*c - b for c. -2 Let z = 4 + -1. Suppose 2*d - 8 = -i, 2*i - 5*i = z*d - 18. Solve -t - i = -5 for t. 1 Suppose 0 = 3*l - 5*h, 0*l + 2*h = -l. Solve -2*f - 10 = -l for f. -5 Suppose 0*i + j = -i + 9, -j + 5 = 0. Let g be (i/(-8))/(2/(-48)). Solve 4*s - g = -0*s for s. 3 Let i = -57 - -59. Solve i*c = 4*c for c. 0 Suppose -4*j = 0, -5*w + 0*j = -j - 80. Solve w = 3*c + c for c. 4 Let o be 5 - 5 - (0 - 4). Let b be ((-2)/o)/((-3)/(-42)). Let h = -7 - b. Solve -2*m - 3*m = h for m. 0 Suppose 2*r + 2*f + 0*f = -4, r + 5*f + 18 = 0. Solve 0 = -r*p - 2*p for p. 0 Let q be ((3/(-4))/(-3))/((-1)/(-8)). Let x be (0 - 0) + 0 - -7. Suppose 2*a = -5*v + 16, -3*a - 2 = -5*v - 1. Solve q = a*b - x for b. 3 Let x be (8/10)/(10/25). Suppose 7*f - x*f - 25 = 0. Suppose f*g - 2*g + 2*a = 39, -3 = a. Solve 4*w = -w + g for w. 3 Let i(k) = k**2 - 8*k + 9. Let z = 17 - 10. Let q be i(z). Suppose 2*n - 12 = -q*n - 2*m, -5*n + 15 = 2*m. Solve -n*h = -5*h + 2 for h. 1 Suppose 5*y + 0*y = 20. Suppose 4*o = z + 12, -o - 3*o = -3*z - y. Solve 0*f = -2*f + z for f. 2 Let n be 2/(1/(86/(-4))). Let z = 68 + n. Suppose 5*r = -5*q + 5, -4*q = 3*r - 3*q - 5. Solve 3*v = -r*v - z for v. -5 Let w(m) = m + 22. Let a be w(-9). Suppose -a - 2 = -l. Let f = 0 - 0. Solve l = -f*g + 3*g for g. 5 Let y(h) = -h**2 - h - 1. Let a be y(0). Let u be 1 - a - (-2 - -1). Solve u*i + i - 12 = 0 for i. 3 Let m be 5/(25/20)*2. Solve m*h = 5*h for h. 0 Let d = -9 - -6. Let s = d + 7. Solve g + 0*g = s for g. 4 Suppose 6*x = 3*x + 51. Suppose 5*b + 3*s = x, 3*b + 1 = -s + 12. Suppose -15 = -5*f + 3*w, -b*f = -f - 3*w - 15. Solve j - 1 + f = 0 for j. 1 Suppose -1 = 3*p + 17. Let z be p/(-4)*(-4)/(-3). Solve 4 = z*s - 6 for s. 5 Suppose 3*l = 2*q + 29, -l + 2 + 25 = -5*q. Solve -1 - l = 4*p for p. -2 Let p(b) = -b**2 - 7*b - 6. Let f be p(-6). Solve 3*j + 0*j = f for j. 0 Let o = -116 + 116. Solve o*l = -l - 4 for l. -4 Suppose -15 = -2*u - 3*u. Let t = -3 + u. Suppose 4*j - 32 = -3*p, -2 = -j + 3. Solve 0 = -t*r + p*r + 4 for r. -1 Suppose -q - 6 = -y + 6, 5*y - 3*q - 52 = 0. Solve -5 = 3*o - y*o for o. 1 Suppose j = -2*b + 44, 3*b + j = 103 - 35. Let r be (-1)/((-26)/b + 1). Let k be ((-32)/r)/(2/(-3)). Solve 0 = 7*g - k*g for g. 0 Suppose -2*l + 5*l = -3*t + 18, -2*l - 16 = -5*t. Solve -2*y = -0*y - l for y. 1 Let g be 1*(7 + -4) - -2. Solve -6 = 2*k - g*k for k. 2 Suppose 10 = 5*w + 3*b, -2*b = 3*w - 3*b + 8. Let h(t) = -t + 7. Let o be h(6). Let u = o - w. Solve -u*g - 8 = -6*g for g. 2 Let j(i) = -2*i + 0 + 5 - 1 + i. Let k be 6/((-2)/8*-6). Let v be j(k). Solve v = -2*y + 3 + 3 for y. 3 Suppose 0 = -4*a + 2*n + 14, 2*a + 2*a + n = 17. Solve -8 = a*d - 0 for d. -2 Suppose 3*k = k - 3*u, 4*u + 17 = 3*k. Let y(w) = -4*w**3 + k*w**3 + w**3 - w**3 + 6*w**2 - 4*w - 2. Let i be y(5). Solve 0 = -i*t - 14 + 5 for t. -3 Suppose 136 - 146 = -5*z. Solve -3*v - 11 + z = 0 for v. -3 Suppose -5*i = 36 - 41. Solve -3 = 4*u + i for u. -1 Let x(c) = -5*c + 1. Let q(a) = 10*a - 2. Let p(f) = 2*q(f) + 5*x(f). Let m be p(-2). Solve 4 = -5*u - m for u. -3 Let j(q) = q**2 - 6*q - 5. Let x be j(7). Suppose x*l - 2 = l. Solve -2*i + i = -l for i. 2 Suppose 0 = a - 12 + 9. Solve 0 = -5*p - a - 7 for p. -2 Suppose -3*u - y = 5, -u - y - 3*y = -2. Let h be (-12)/(-5) + u/5. Suppose -79*o + 77*o = 0. Solve h*b + 3*b + 25 = o for b. -5 Let w = -2 - -3. Let t be -5*((-22)/10 + w). Let h(s) = -s**2 + 6*s + 3. Let l be h(6). Solve -x - t = -l for x. -3 Suppose -2*m - s - 35 = 0, 4*m - 2*s = -s - 73. Let g = -12 - m. Solve 5*n = -19 - g for n. -5 Let k = -27 + 33. Solve h - k = -h for h. 3 Let g(n) = -n**3 + n**2 - n + 8. Suppose 3*i = -3*c - 0*c - 3, -3*i - c - 1 = 0. Let u be g(i). Suppose 5*p - 2 = u. Solve -p = 2*l - 6 for l. 2 Suppose 5*j = -0*j. Suppose -2 = -m - j. Let l be (0 - (2 - 2))/m. Solve 0 = -h - l*h - 5 for h. -5 Suppose -4*o + 55 = o. Solve -4*f + o = -5 for f. 4 Let u be 1*(-1 - -4) - (-4 - -1). Solve -3*m = -3 - u for m. 3 Let f be (-40)/(-70) - 8/14. Solve -3*h + h = f for h. 0 Suppose -2*o - 10 = -3*p, -2*o = -p - 3*p + 14. Let y be 0*(-2 - (-3)/2). Let l be (-5)/(-2)*((-156)/5)/(-13). Solve 2*q - l*q + p = y for q. 1 Suppose 3*x = -x - 8, -5*l + 2*x + 29 = 0. Solve -l = -4*c + 9*c for c. -1 Let g be (-1)/2*-1*(3 - 3). Solve 4*p + g*p - 12 = 0 for p. 3 Let k be (2 - 3)*(0 + 0). Solve k = 2*h - 5*h + 6 for h. 2 Let y = -4 + 4. Solve b + y*b = 0 for b. 0 Let d be -2 - (-2 + 1 + -4). Solve 4 = -p - d*p for p. -1 Let x be 12/66 - 31/(-11). Let u(w) = w**2 + 6*w + 2. Let b be u(-7). Solve 0*r = x*r - b for r. 3 Let j be (-180)/(-99) + (-4)/44*-2. Solve 9 = j*h + h for h. 3 Let q(n) = 3*n**3 - 3*n**2 + 2*n - 1. Let r be q(1). Solve -t - r + 0 = 0 for t. -1 Suppose 0 = 5*f - 3*j - 34, f - 5*j = 4*f. Solve f*p - 16 = -1 for p. 3 Let a = -17 + 7. Let k = a - -25. Solve 3*h = -0*h - k for h. -5 Let w(f) = f**3 + 7*f**2 - 10*f - 11. Let v be w(-8). Solve -v*s + s - 12 = 0 for s. -3 Suppose 0 = -0*w - 2*w. Suppose 0 = 2*d - w*d. Suppose 0*i = -5*i + 15. Solve i*m + 3 = -d*m for m. -1 Let k = -69 - -72. Solve k*h + 9 = -0*h for h. -3 Let z be ((-11)/(44/(-56)))/2. Solve z + 9 = -4*p for p. -4 Suppose 13*v - 10 = 8*v. Suppose -v*l = l - 12. Solve -4 = 2*c - l*c for c. 2 Let t(z) be the second derivative of z**3/2 - 15*z**2/2 + 6*z. Let w be t(7). Solve w*y - 3*y = 0 for y. 0 Suppose 2*l + 5*z = -4 + 39, 0 = -4*l + 3*z + 83. Solve -i - 4*i + l = 0 for i. 4 Let x be ((-6)/(-7))/(2/(112/8)). Solve -3*i = -x + 18 for i. -4 Let l be (1/(-3))/(1/(-12)). Let a be 17 - (3/3 - l). Solve 7*b - a = 2*b for b. 4 Suppose 4*j = 2*j - 22. Let x be j*(0 - (3 + -2)). Let q = -1 - -5. Solve 5*g + q = -x for g. -3 Let r(y) = y**3 - 4*y**2 + 4*y. Let x(i) = i**3 - 7*i**2 - 7*i - 5. Let o be x(8). Let d be r(o). Solve d + 2 = s for s. 5 Let w = 8 - 8. Suppose -p = -5*n + 10 + 11, -p = 1. Suppose f + n = 3*f. Solve w*y = -2*y + f for y. 1 Let m = 120 + -116. Solve -m - 6 = -2*s for s. 5 Let n be 0/(-5) - (-1)/(-1). Let i = 1 - n. Solve i*t - 3*t - 1 = 0 for t. -1 Suppose 24 - 6 = 2*r. Solve 2*t = 5*t + r for t. -3 Let b be ((-102)/(-12))/((-1)/(-2)). Solve 0 = -3*a - b + 2 for a. -5 Let o be -3 + (-32)/(-4) + 2. Suppose -3*k = -o*k. Solve
{ "pile_set_name": "DM Mathematics" }
). -2 Let v(f) = f - 3. Let q be (-8)/10*(-10)/2. Suppose 3*b = q*a - 56, 5*b + 5*a + 4 + 31 = 0. Let d be 5/20 - (-3)/b. Calculate v(d). -3 Let u(l) = -l**2 - 18*l + 22. Let o be u(-19). Let z(i) = i**2 - 4*i - 2. Let q be z(o). Let n(d) = d - 3. Give n(q). -8 Let c(s) = -s**3 - 6*s**2 - 4*s + 7. Suppose j + 2*i = -7, j - 2*i - 3*i = 0. Let u be c(j). Let x be 10/(u + (-4)/1). Let h(v) = -2*v - 2. Determine h(x). 8 Let m(p) = 13 - 2*p - 10 - 6. Let j = 32 + -14. Let a be (-76)/12 + 6/j. Calculate m(a). 9 Let p = 12 + -9. Let g(y) = -2*y**3 - 4*y + 3*y - 4 - 3*y**2 + y**p + 2*y. Suppose 0 = 8*u - 5*u + 12. What is g(u)? 8 Let p(a) = -a**2 + 6*a + 3. Let v(y) = 5*y**2 + 4*y - 1. Let k(d) = -8*d**2 - 7*d + 2. Let i(l) = 6*k(l) + 11*v(l). Let b be i(-1). What is p(b)? 3 Let k = -232 + 229. Let p(j) = -2*j**2 - 3*j + 2. Calculate p(k). -7 Let s(z) = -2*z - 5*z**2 + 123 - 244 + 122. Let d be ((-2)/(-4))/((-13)/(-26)). What is s(d)? -6 Let x be 12/30*(-1 - -6). Suppose 0 = x*n - 15 + 9. Let y(f) = n + 3*f**2 - 3 + 12 - 4*f**2 - f. Give y(0). 12 Let u(q) = 5*q - 1. Suppose -24*p + 20 = -20*p. What is u(p)? 24 Let t(c) = -76*c - 610. Let u be t(-8). Let g(w) = -w**2 - 2*w - 5. Determine g(u). -5 Let k(b) = b**2 + 7*b + 1. Let g(t) = -t**2 - 5*t + 1. Let i(q) = -4*g(q) - 3*k(q). Give i(5). 13 Let l = -32 - -31. Let m(n) be the third derivative of n**6/120 - n**5/120 - n**4/24 + 2*n**3/3 + 2*n**2. Let f(z) be the first derivative of m(z). Give f(l). 3 Let g = 595 + -596. Let w(d) = -8*d + 2. What is w(g)? 10 Let s(y) = -2*y**3 - 11*y**2 + y. Let c(r) = -2*r**3 - 9*r**2 + r. Let p(h) = -5*c(h) + 4*s(h). Calculate p(-2). -10 Let v = 372 + -375. Let p(k) = 2*k - 2. What is p(v)? -8 Let y(w) be the third derivative of w**5/60 + w**4/24 - w**3/3 - 115*w**2. Give y(-4). 10 Let v be (8/6)/((-8)/(-12)). Let j(g) = -2 + 4*g + g - 3*g**2 - 2*g**v - 4*g. Let n(k) = -k**2. Let m(y) = j(y) - 4*n(y). What is m(3)? -8 Let u(y) be the third derivative of -y**4/6 + 25*y**3/6 + 13*y**2 + 16. Calculate u(4). 9 Suppose 3*m - 132*f - 93 = -129*f, 53 = 2*m - 5*f. Let r(g) = g**3 - 35*g**2 + 34*g + 1. What is r(m)? 1 Suppose 3*l = -2*q - 2 + 10, -5*q + 15 = 5*l. Let r be q/2 - (-65)/26. Let j(g) = 3*g + 1 - r + g**2 - 1. Give j(-4). 1 Let v(o) be the third derivative of 5/6*o**3 + 0 + 0*o + 1/24*o**4 - 3*o**2. What is v(-5)? 0 Let m(q) be the first derivative of -4*q**3/3 - 12*q**2 - 3*q + 11. Let y(f) = -3*f**2 - 16*f - 2. Let r(v) = -5*m(v) + 7*y(v). Give r(7). 8 Let u = -14 - -16. Let v be 5/u + 9/(-6). Let z(g) = 4 - 5 - v + 9*g. Give z(2). 16 Suppose 97*x = 122*x + 175. Let y(b) = b + 13. Give y(x). 6 Suppose 0*o - 4*o + 8 = 0, -3*o + 1 = 5*b. Let r(j) = -5*j**2 + j + 2. What is r(b)? -4 Let x(a) = -2*a**3 + 50*a**2 - 49*a + 19. Let h be x(24). Let b(y) = -y + 3. What is b(h)? 8 Let l(k) = k**2 - 7*k - 10. Let i be 576/28 + 9/21. Suppose 14*g - i = 11*g. Give l(g). -10 Let s(n) = -n + 15. Let b be s(15). Suppose b = 3*m - 6*m. Let l(r) = -r**2 + r + 7. Give l(m). 7 Let t(s) be the second derivative of 5*s**4/12 + s**3/2 + s**2 + 357*s. Give t(-2). 16 Let c(a) be the third derivative of a**6/120 + a**5/15 - a**4/12 - 5*a**3/6 - 12*a**2. Let d be (0 - 6/(-2)) + -7. Calculate c(d). 3 Let p(r) = r**3 + 7*r**2 + 15*r - 7. Let k(c) = -c**3 - 7*c**2 - 19*c + 6. Let a(z) = -5*k(z) - 6*p(z). Give a(-8). 36 Let c(g) = 2*g - 15. Suppose 5*u = s - 5*s + 56, 4*s = 2*u. What is c(u)? 1 Let y(j) = -j**2 + 5*j + 7. Let r = 6 - 6. Suppose r*l - 22 = 2*l. Let f be 2*(l/(-2) - 3). Calculate y(f). 7 Let p(k) = 4*k**3 + k**2 - 2*k - 3. Suppose -2*d + 5*v - 27 = 0, 2*v - 17 = -7. What is p(d)? -4 Let v(a) = -5*a - 12. Let o(f) = 3*f + 6. Suppose -k - w = -2*k - 3, 0 = 3*k + 4*w + 16. Let b(m) = k*v(m) - 7*o(m). Determine b(5). 1 Let v be 21 + 1387/(-57) - 1/(-3). Suppose -16 = 4*j, j + 7 + 6 = 3*o. Let d(q) = -o - 2*q + 3 + 3. Determine d(v). 9 Let g be (-4)/6*-3 - (-17 + 12). Let t(j) = -j**3 + 8*j**2 - 7*j - 7. Give t(g). -7 Let d(a) = 22*a - 2*a - 19 - 10*a - a + a. What is d(2)? 1 Let h(c) = c**3 - 5*c + 11*c**2 + 3 - 6*c**2 - c**2. Let p be h(-5). Suppose 6 = 3*n + 5*l, p*n - 2*l = -2*n + 10. Let z(u) = -3*u + 2. Calculate z(n). -4 Let f(z) = -7729*z**3 + 7728*z**3 - 4*z + 3*z + 10*z**2 + 3 + z. Let g(n) = 9*n**2 - n. Let t be g(-1). What is f(t)? 3 Let t(o) = -148*o + 33*o**2 - 29*o**2 + 152*o. What is t(-2)? 8 Let r(x) = -x**3 - 2*x**2 + 2*x + 1. Let a be ((-24)/(-20))/(1/(-5)). Let w be (-9)/(-2)*a/9. What is r(w)? 4 Suppose 4*n = 68 + 12. Suppose 8*v - 4*v - n = 0. Let m(f) = 8*f**2 - 2*f**2 - 6*f - f - 2 - f**3. What is m(v)? -12 Let y(w) = 4*w**2 + 5*w + 9. Let h(i) = 8 + 47*i - 43*i + 6*i**2 - 3*i**2. Let o(s) = 6*h(s) - 5*y(s). Calculate o(-3). -12 Let x(t) be the first derivative of t**2/2 + 6*t + 2. Suppose 8*d = -18*d. What is x(d)? 6 Let s(h) = -h - 6. Let o = -1758 - -1746. What is s(o)? 6 Let t(x) be the third derivative of -x**4/24 - 11*x**3/6 + x**2. Let y = -3496 + 3488. Determine t(y). -3 Let i be (0 + -1)*-1*18. Suppose -5*r - i = 12. Let u(b) = 0*b - 12 - 4*b - 5*b + 7 - b**2. Calculate u(r). 13 Let b(d) = -5 - 5*d + 5*d**2 - 2*d - 4*d**2 - 2*d**2. Let y(u) = u**2 + 8*u + 6. Let j(o) = 3*b(o) + 2*y(o). Let s = -26 - -21. Give j(s). -3 Suppose -12*t + 444 = -852. Suppose 8 = -107*l + t*l. Let f(d) = -d**2 + 6*d + 4. Determine f(l). -12 Let j(t) = -4*t**3 - 5*t**2 - 5*t + 2. Let v(h) = -h**3 - h**2 - h - 1. Let g(n) = j(n) - 5*v(n). Calculate g(0). 7 Suppose 4*s - 10 = 2. Suppose -u = -s*a - 9, -3*u - 2*u + 34 = -4*a. Let o(z) = 0 - 3*z + 8 - 4 - z + 3*z. What is o(u)? -2 Let j(g) = g**2 + 2*g + 4. Let c be j(-4). Let p be 3/(8/c + -1). Let r = 16 + p. Let z(h) = -h**2 + 7*h + 6. Calculate z(r). 6 Let x(l) = l**3 + 4*l**2 - l. Let o = 42 + -36. Suppose -10*m + o - 46 = 0. Give x(m). 4 Let y(b) = b**2 + 8*b - 7. Let x be y(-8). Let k(v) = -v**3 - 7*v**2 - 1. Let z be k(x). Let h(r) = 9*r**2 - 2*r - 1. What is h(z)? 10 Let j(n) = n**2 - 11*n + 14. Let o = 183 - 175. What is j(o)? -10 Let k(y) = -72*y - 669. Let h be k(-9). Let t(q) = -q + 1. What is t(h)? 22 Let l(y) = -y**3 + y**2 - y + 10. Let o = 771 + -771. Determine l(o). 10 Let u be ((-6)/(-9))/(-2)*-6. Let i(z) = -16 - 3*z**3 + z + 3*z**3 + z**3 - 11*z**u. What is i(11)? -5 Let s(y) = -2. Let h(f) = -f**2 - f + 7. Let i(t) = -h(t) - 3*s(t). Give i(-2). 1 Let j(m) = m**3 - 7*m**2 + 9*m + 7. Let o be j(5). Let x(v) = -9*v + 5 + 2 + 262*v**o - 261*v**2. Determine x(7). -7 Let r = -8 - -18. Let w(f) = 1 + 4*f - 1 + r - 7. What is w(4)? 19 Let u(b) be the second derivative of -b**3/3 + 5*b**2/2 + b. Suppose -4*a + 37 = -3*s, -a + 5*a - 5*s = 43. Give u(a). -9 Suppose 5*y = -32 + 12. Let l be 32/18 - (-2)/9. Let m(h) = -7*h + 2*h - l + 5*h**2 + 3 - 6*h**2. Give m(y). 5 Let a(p) be the second derivative of p**7/280 - p**6/360 + p**4/24 + 2*p**3/3 + p. Let m(x) be the second derivative of a(x). What is m(-1)? -3 Let z(k) = 3*k**3 - 3*k**2 - k - 33. Let p(y) = -4*y**3 + 4*y**2 + y + 34. Let w(i) = 2*p(i) + 3*z(i). What is w(0)? -31 Let g = 19 - 17. Let s(w) = -5*w**2 + w**2 + g*w**2 + 6*w - 2 + 0*w**2. Determine s(4). -10 Let z(f) = -3*f**2 + 16*f + 4. Let v(c) = 2*c**2 - 10*c - 3. Let w(m) = -7*v(m) - 5*z(m). Determine w(9). -8 Let t be ((-49)/(-14))/((-2)/(-4)). Let c(a) = a**2 + 39 - 41 + 0*a**2 - 2*a**2 - t*a. Let s be (5/(-2))/(2/4). Determine c(s). 8 Suppose 4*z - 35 = 2*o - 9, -3*z + 3*o + 18 = 0. Let k be (-10)/4*(-12)/10. Let b(n) = 4*n**2 - n**2 - n + n**k - 10*n**2 + 6. Calculate b(z). -1 Let j(w) be the first derivative of w**4/12 - 2*w**3/3 - 2*w**2 + 5*w + 27. Let l(m) be the first derivative of j(m). Give l(7). 17 Let n = 58 + -97. Let i = n - -60. Let w(f) = -36*f - i + 35*f + 7. What is w(0)? -14 Let u = 1324 - 1329. Let s(b) = 8*b + 8. Give s(u). -32 Let b be (-16)/(-8)*5/2. Suppose -5*p - 50 = -2*h, 0 = 2*p - 4*h - 1 + b. Let y = -8 - p. Let o(c) = -c - 5. What is o(y)? -9 Let x = -10 - -13. Suppose -2*t + n - 13 = -2*n, 14 = -t + x*n. Let f(v) be the second derivative of v**5/2 + v**4/12 - v**3/6 + 2*v. What is f(t)? 10 Let u(t) be the second derivative of t**3/6 - 3*t**2 - 4*t - 49. Suppose -3 = -v + o, 4*v - 3*o + 1 = 12. Let q be 4/(4/(-3) + v). Calculate u(q). 0 Let i(m) = -4*m - 140. Let u be i
{ "pile_set_name": "DM Mathematics" }
What is the smallest common multiple of x and s? 12 Let a = 132 + -77. Suppose 4*r - a = 45. Suppose -35 = -3*d + r. Calculate the smallest common multiple of 4 and d. 20 Let b = 402 - 6011/15. Calculate the common denominator of 49/50 and b. 150 Let j(x) = -4*x + 8. Let i(c) = c + 1. Let w(a) = 3*i(a) - j(a). Calculate the least common multiple of (-32)/(-6) + 2/3 and w(3). 48 Suppose -1 - 1 = d. Let p be d/8 - (-3)/12. Suppose p = 4*r + 5 - 13. Calculate the smallest common multiple of r and 8. 8 Let g = -7514/7 - -1079. What is the common denominator of g and 52/3? 21 Let a = -8 + 13. Suppose m - 2*m + 8 = 0. Suppose 4*z - 4*l - 36 = 0, l - m - 4 = -2*z. What is the least common multiple of a and z? 35 What is the common denominator of -4 + 1 - (-27)/(-20) and 39/10? 20 Let z(p) be the first derivative of -p**4/4 + 14*p**3/3 - 7*p**2 + 19*p - 7. Calculate the least common multiple of z(13) and 8. 24 Let k = -7 - -11. What is the common denominator of 430/k*(-8)/200 and 33/70? 70 Let d = 13/23 + -1153/46. What is the common denominator of -37 and d? 2 Let s = -3/7 + 27/14. Calculate the common denominator of s and 4/24*(-116 - 2). 6 Let c be 6/9 + (-362)/3. Find the common denominator of ((-201)/(-18)*3)/2 and 838/c - (-2)/5. 12 Suppose -4*l = -9 - 15. What is the lowest common multiple of 8 and 4 - 1 - l/(-2)? 24 Let a = -1967 + 7923/4. Let p = -50 + 287/6. Find the common denominator of a and p. 12 Let i be 33/2*(-152)/(-2). Suppose 5*n + i = 2*n. Let j = n + 867/2. Find the common denominator of 75/16 and j. 16 Let y(p) = -p**3 - 3*p**2 + 8*p + 6. Let j be y(-4). Suppose -v - 4*g = 22, 5*g = -29 + 9. Let k = v - j. What is the smallest common multiple of k and 4? 4 Suppose -3 = 2*v - 13. Suppose -q = -9 - v. What is the smallest common multiple of 14 and q? 14 Suppose 0*f - 4*f + 40 = 0. Let v be ((-2)/(-3))/((-2)/6). Find the common denominator of 1/((-162)/83 - v) and f. 4 Calculate the common denominator of -3/20 and 2*1/7 + 3160/(-2240). 40 Let l be -9 + (1 - 4) + 3. Calculate the smallest common multiple of 10 and ((-132)/l)/((-4)/(-6)). 110 Let a = 21 - -25. What is the lowest common multiple of a and 20? 460 Let d(s) = s**3 - 3*s**2 - s + 3. Let n be d(3). Calculate the common denominator of 3 + -1 - 92/56 and (-98)/16 + 1 + n. 56 Let d(z) = -z**3 + 5*z**2 - z. Let t be d(2). Suppose 0 = 5*i - 10*i + t. Calculate the least common multiple of 8 and i. 8 Let q(o) = -o + 4. Let r be q(6). Find the common denominator of -77/16 and r/16*(-424)/(-6). 48 Let m = 3/1892 + 31673/11352. What is the common denominator of m and 64/21? 168 Let i = 6 - 6. Let a(w) = w**3 - w + 4. Calculate the least common multiple of a(i) and 18. 36 Let f = 47685 - 34333193/720. Let v = f + 2089/360. Find the common denominator of -83*(-4)/16 + -2 and v. 16 Suppose -2*t = a - 24, t + 2*a - 12 = 7*a. Let y(i) = -4*i**2 + 125*i - 11. Calculate the least common multiple of t and y(31). 60 Let s = -53 - -9. Calculate the common denominator of ((-3)/4)/(s/(-8)) and 97/4. 44 Let m be (-6)/15 + (-32)/(-5). Let i = 2 - 0. What is the least common multiple of m + 0 - -3*1 and i? 18 Let c be 0 - (-16)/(-6)*3. What is the common denominator of (-195)/8*20/(-50) and ((-2)/(c/(-142)))/2? 4 Let l(k) = k**2 + 4*k + 3. Let f be l(-4). Suppose 2*s - f*s + 886 = 0. Let i = s + -8739/10. What is the common denominator of 36/11 and i? 110 Let w = 35 + 57. What is the least common multiple of w and 2? 92 Let u(d) = -d**2 + 3*d + 1. Let l be u(4). What is the common denominator of (85/2 - 4)/l and 99/10? 30 Suppose 5*w + 5 = -4*l - 14, 40 = -4*w + 3*l. Let y = 8 + w. Suppose -5*f + 7 + 3 = 0. What is the smallest common multiple of f and y? 2 Suppose 805 = -4*u + 3*u. Let z = -879 + 14069/16. Find the common denominator of u/(-990) - 4/18 and z. 176 Let d be (-1 + (-31728)/99)*3. Let m = d + 968. What is the common denominator of 29/3 and m? 33 Let t be 1/((-2)/(-4)) - -4. Let r = t + -4. What is the lowest common multiple of r and 6? 6 Find the common denominator of 145/12 and 360/(-352)*1 - 2/4. 132 Let r(l) = -5*l - 2. Let n be r(2). What is the smallest common multiple of 12 and 2 - 3/(9/n)? 12 Suppose -2*y + 4 = -y. Calculate the smallest common multiple of 4 and y. 4 Let z = -69/14 + 807/70. Find the common denominator of 83/6 and z. 30 Let i = -1593/4 - -20851/52. Let a = -16/13 + i. Calculate the common denominator of (-886)/60 + 2/(-5) and a. 6 Let m = 211/22 - 63/88. Let u = -271/6220 + -2/311. Calculate the common denominator of m and u. 40 What is the common denominator of 73/20 and 51/(-8) - (-12)/16? 40 Let h(x) = 2*x**2 - x - 2. Let u be h(2). Suppose 3*n - u - 20 = 0. Calculate the lowest common multiple of n and 16. 16 Suppose -2*z - 3*z = -150. Suppose 4*y = -y + z. Suppose 4*b - 68 = -4*s, -3*b = 3*s - 4*b - 39. Calculate the lowest common multiple of y and s. 42 Suppose -3*o + 9 = -0*o. Suppose 4*p - 27 = -o. What is the least common multiple of 9 and p? 18 Suppose 2*j - 3*j + 16 = 0. What is the least common multiple of j and 12? 48 Let h be ((-17)/(-24) - 2)/(-1). Let b = h - 25/8. What is the common denominator of -29/8 and b? 24 Let q = 393/308 + -2/77. Let j = 1111028 - 6682199/6. Let s = -2665 - j. Find the common denominator of q and s. 12 Let w = -8/3 - -109/42. What is the common denominator of -55/6 and w? 42 Let u be ((-9)/6)/((-6)/8). Let a be -2 + u + (-2 - -6). Suppose 0 = -f + a*f - 18. Calculate the least common multiple of 4 and f. 12 Let m = 0 - -2. What is the lowest common multiple of m and 6? 6 Suppose d = -1 - 2. What is the smallest common multiple of 18 and 93/6 - d/6? 144 Suppose -347 - 283 = 5*v. Calculate the common denominator of v/12*(-9)/(-7) and (-162)/20 + (1 - -1). 10 Let y = -5 - -6. Suppose 2*v - 4 = 3*b, b = 5*v - 0*b - 23. What is the lowest common multiple of -5*y*(-9)/5 and v? 45 Suppose 4*x = 3*f + 75, -f + x = -0*x + 24. Find the common denominator of -27/22 and (-26)/(-28) + f/7. 154 Suppose 2*a = 2*b + 2, 0 = -a - 2*b + 2 + 2. Calculate the common denominator of (a/(-6))/(2/(-37)) and 152/6*1/(-6). 18 Let m = -4/11309 + 803019/226180. Calculate the common denominator of m and -22/5. 20 Let m = -809/2 - -412. Let d = -1/845 + -81941/20280. Find the common denominator of d and m. 24 Let v(h) = -h**2 + 10*h + 15. Let t be v(11). Let z be t + 1/(-1) + 0. Suppose n = -5*k + 22, 0*n + n = -z. Calculate the least common multiple of k and 3. 15 Let n = 4104 - 135482/33. What is the common denominator of -37/3 and n? 33 Let w = -1 - -5. Suppose q = a + 5*q - 22, 2*a - w*q = 80. Suppose -a = -4*c + 3*g + 45, -11 = -c - g. What is the lowest common multiple of c and 14? 112 Let v be 29/5 - (-1)/5. Let k(q) = q**2 - 13*q + 2. Let z be k(v). Let s = z - -62. Calculate the smallest common multiple of 18 and s. 198 Let x = 45068635/22 - 2046841. Let v = -1733 + x. Calculate the common denominator of 33*(-2)/(-40)*-2 and v. 110 Let y = -8205/8 - -2071/2. Let c be -1*(1/1 + 0). Find the common denominator of (68/48)/(c/15) and y. 8 Let d(z) = z**3 - 5*z**2 - 4*z + 4. Let x be d(4). Calculate the common denominator of -2 + 42/8*-1 and 1*43*4/x. 28 Let z(l) = l**3 + 5*l**2 - 3*l - 1. Let u be z(-4). Let c be u/4 + -6 + 9. Let i = c - 347/36. What is the common denominator of -79/10 and i? 90 Suppose c + 48 = 4*c. What is the smallest common multiple of (-23)/(-4) + -1 + 5/4 and c? 48 Suppose 2*x = 4 + 2. Suppose x*q - 2 - 19 = 0. What is the lowest common multiple of q and 1? 7 Suppose -8*x - 20 = -12*x. Calculate the lowest common multiple of x and 4. 20 Let b be 6/(-4)*(-5 - -3). Let o be ((-16)/3)/((-1)/b). Calculate the common denominator of -1/10 and (0 - 3/o)*68. 20 Let o = 93 - 53. Calculate the smallest common multiple of 20 and o. 40 Suppose 0*d + 9*d - 54 = 0. Let j be (2/1)/(2/4). Suppose y + 36 = j*y. What is the lowest common multiple of d and y? 12 Let i(h) be the third derivative of h**6/120 - h**5/15 + h**4/12 + h**2. Let g be i(4). Suppose 2*f + g = 36. What is the lowest common multiple of 16 and f? 112 Let i = -28437/10510 - -6/1051. Calculate the common denominator of i and ((-318)/27)/(16/6). 60 What is the common denominator of 2/88*(-1 + 18) and 73/44? 44 What is the least common multiple of 29 and ((-6)/(-4))/
{ "pile_set_name": "DM Mathematics" }
101*o + x + 7, 0 = o + 4*x for o. -4 Solve 2*q = v + 12, 0 = -9*q - v + 945 - 902 for q. 5 Solve 1075*l = 1072*l + 5*g + 20, 3*l - 2*g - 8 = 0 for l. 0 Solve 0 = -5*g - 20, -319*g + 321*g + 8 = -4*d for d. 0 Solve -5*x + 173*n = 168*n + 20, -4*x - 7 = 5*n for x. -3 Solve -k - 2 = 2*l, 4*k - 5554*l - 1 = -5553*l for k. 0 Solve -4*q + 16 = 5*c - 40, 38 = 2*q + 5*c for q. 9 Solve -162*y + 160*y - 26 = -4*v, 4*v - 3*y = 31 for v. 4 Solve -60 = -4*d - 4*s - 84, 20*d - 5*s + 70 = 0 for d. -4 Solve 19*j + 35 = t + 23*j, -2*j = 5*t + 5 for t. -5 Solve 3*n = 5*z + 9, 57 = 1323*z - 1318*z + 19*n for z. 0 Solve -c - 1 = 12*z - 14*z, -4*c = -5*z + 7 for c. -3 Solve 158 = -2*c - 15*l + 88, 4*l + 21 = -c for c. -5 Solve -871*r - 3*x = -868*r - 15, -11 = -3*r + x for r. 4 Solve -2022*m + 2024*m + 85 = -5*q, 10*m + 110 = -4*q for q. -15 Solve -1242 = -s - 4*z - 1229, 55 = -5*s + 10*z for s. -3 Solve 23585*g - 5*m + 5 = 23580*g, 0 = 4*g + 5*m - 14 for g. 1 Solve -5*j + 113 - 118 = -5*d, -23 = d - 7*j for d. 5 Solve 29 = -12*q - 175, -k - 4*q = 64 for k. 4 Solve 5*s - 5*i + 20 = 0, 145*i = -4*s + 134*i - 91 for s. -9 Solve 5*m + 2*b + 364 - 363 = 0, -m + 4 = b for m. -3 Solve -3*t = 3*y - 15, -2*t - 5*y = -3*t + 5 for t. 5 Solve 4*c - 2*m = 48, 12 = 2*c - 542*m + 538*m for c. 14 Solve 4*o + 4*h + 8 = 0, -6 = 1079*h - 1077*h for o. 1 Solve 2*c - 3*y + 79 = 0, 2520*c + 2*y = 2525*c + 60 for c. -2 Solve 2*w - 4 = -944*g + 949*g, -4*w - g = 14 for w. -3 Solve 0*b - 5*b = 0, -2*b - 200 = -2*l - 210 for l. -5 Solve -5*l - 25 = 0, -f - 404 = -5*l - 421 for f. -8 Solve 5*n - 5*u = 50, -3*n + u - 443799 = -443819 for n. 5 Solve 5*i = -3*u - 1941 + 1933, 2*i - 3 = 5*u for u. -1 Solve -4*i = -3*p + 45, i = 19*p - 20*p - 6 for p. 3 Solve 3*q = 4*v - 22, 2*v - 168 = 3*q - 154 for v. 4 Solve r = 0, 4*x + 3*r + 3 - 16 = 3*x - 2*x + 2 for x. 5 Solve -5*p = -4*g + 25, -4*g - 5*p - 39 = 26 for g. -5 Solve -5*c - 5*a + 20 = 0, 3*c - 4*a = 7961 - 7928 for c. 7 Solve 5*o - 4*j = -58, -5*o + 22*j - 56 = 19*j for o. -10 Solve 2*j + j = 157 - 148, m + 5*j - 14 = 0 for m. -1 Solve 3*g = 3*u - 3, 3*g + 25*u = 22*u - 15 for g. -3 Solve -5*u = 5*p - 100, -2*u = 191*p - 196*p + 107 for u. -1 Solve -20 = s + 2*w, 7834*w - 8 = -s + 7839*w for s. -12 Solve -7 = 3*x + 4*d + 2, -3*d - 18 = 0 for x. 5 Solve 67*r - 63*r - 12 = -c, 0 = 6*r + c - 14 for r. 1 Solve 4*p = g - 3*g - 38, 11 = 2*g - 3*p for g. -5 Solve -58*o = -3*z - 63*o - 29, 4*z + 2*o = -34 for z. -8 Solve 0 = 11*y - 9*y + 2*a - 2, -10 = -4*y - a for y. 3 Solve 0 = 5*b + 18*v - 23*v - 10, 4*b + 6 = -3*v for b. 0 Solve b = -5*p + 24, -45*b + 42*b = 3*p - 12 for b. -1 Solve -2*m + 0 = 6*z - 7*z - 5, -20 = 4*z for m. 0 Solve 3*q = 4*k - 35, -12*k + 10*k = -10 for q. -5 Solve -5*k + 13 = -4*s, -43 + 44 = k for s. -2 Solve 0 = -4*z - 2*r + 92, -80 = -4*z - 3499*r + 3500*r for z. 21 Solve -3*g + 61 + 56 = -18*u, 2*g = -6 for u. -7 Solve 0 = -8562*i + 8567*i + 3*m + 55, -m + 27 = -4*i for i. -8 Solve -5*j - 3*d = 37, -107*j + 36 = -111*j - 4*d for j. -5 Solve 70 = 4*k - 31*q, 5*k - 5*q + 40 = 60 for k. 2 Solve 0 = 2*z + 5*x + 28, -532*x = 5*z - 536*x + 4 for z. -4 Solve 2*p = -c + 1426 - 1421, -20*p = 2*c - 58 for p. 3 Solve 2*x = -116*m + 113*m + 26, -3*m = -3*x - 36 for x. -2 Solve c + 168 = -2*n + 185, 27 = 3*c + 3*n for c. 1 Solve 16 = r - 2*u + 20, -5*r - 4*u - 6 = 0 for r. -2 Solve -2*q + 16 = 67*y - 64*y, q - 9 = -2*y for q. 5 Solve o + 5*j + 30 = 0, -90 = -2*j - 98 for o. -10 Solve 101*u - 50*u + v = 53*u - 9, -4*v = 10*u - 18 for u. 3 Solve 16*a = -132*y + 127*y + 10, 0 = -5*a - y + 2 for a. 0 Solve 20*j = 17*j - 3*g + 21, g = -2*j + 14 for j. 7 Solve 0 = 4*o + 8, 3*t - 16802 = -4*o - 16819 for t. -3 Solve 7*v + y = -37, 31*y - 29*y - 22 = 2*v for v. -6 Solve 0 = -5*k + 105, 207 = -3*o + 2*k + 67 + 107 for o. 3 Solve 0 = -f - 4*o + 14, 5*f = 5*o - 225 + 170 for f. -6 Solve 4*q = 3*y - 4, -y = -3*y + 4*q + 15 - 7 for y. -4 Solve -3*h + 10*q + 35 = 0, 0 = -5*h + 4*q + 179 - 184 for h. -5 Solve -2*v + 4 = -2*c, 0 = 5*v - 64*c + 48*c - 54 for v. -2 Solve -203*g - 207*g - 3*o = -409*g - 13, 5*o = 2*g + 7 for g. 4 Solve 0 = 2*a - h - 9, -1848*a = -1844*a - 3*h - 13 for a. 7 Solve -3*u = 5*p - 4, -34*p = -37*p - 4*u + 9 for p. -1 Solve 72*l - 68*l + 71 = -3*y, -4*y - 174 = 11*l for l. -14 Solve 3*r + 21 = -3*g, 850*r = -3*g + 822*r - 171 for g. -1 Solve 0 = 4*b - 2*x - 12467 + 12461, 0 = b - x for b. 3 Solve p - 116*h = -112*h + 16, -h + 1 = p for p. 4 Solve -2*k - 5*a + 2 = 0, -2*k + a + 195 - 205 = 0 for k. -4 Solve 33*p + 5*j = 36*p + 9, -j = 2*p - 7 for p. 2 Solve -f - 29 = 5*g, 1317*f - 1314*f + 11*g = -67 for f. -4 Solve -1845*x = u - 1840*x - 5, 5*u + 19 = -3*x for u. -5 Solve 0 = 5*s - 2*a + 1, -39*a + 48*a + 19 = -s for s. -1 Solve z + 11 = 4*s, 5*z - 3*z + 4*s = 26 for z. 5 Solve 0 = 5*p + 4*h - 25, 0 = -3*p + h + 170 - 172 for p. 1 Solve -153*m - 4*k + 3 = -154*m, 21 = 3*m + 3*k for m. 5 Solve -2*a + 3*p + 7 = 0, -5*a + 23*p - 48*p = 15 for a. 2 Solve x - 2*t = -6, -3*t + 1600 - 1612 = 2*x for x. -6 Solve -5 = -5*w - j, 10*j = 3*w - 29 - 27 for w. 2 Solve -13*g + 10 = 2*q, 4*q = -5*g - 23 - 41 for q. -21 Solve 0 = -14*w + 11*w - 9*t + 30, 0 = 3*w - 2*t + 3 for w. 1 Solve -37*w + 42*w = -4*z - 14, 3*z + 6 = -3*w for w. -6 Solve -3*p + 2 = 2*w, 175*w - 172*w - 1 = -5*p for w. 7 Solve 0 = 4*k - 5*z + 78, 4*k + 14136 = z + 14066 for k. -17 Solve 0 = 4*b + 7*c - 15, 0 = -4*b - c - 268 + 253 for b. -5 Solve 5*g = -2*y + 26, -837*g = -840*g + 3*y + 3 for g. 4 Solve -4*v = -5*z + 4, 4*v + 2*z - 81 = -85 for v. -1 Solve s + 194*r = 199*r - 14, -4*r - 8 = -4*s for s. 6 Solve -35 = -13*h + 8*h + 5*m, h = 4*m + 13 for h. 5 Solve -532*o + z = -531*o - 5, -4*o = 2*z - 26 for o. 6 Solve -28*u - r + 11 = -28*u + 7, -r = 15*u + 11 for u. -1 Solve 3*o + 174 = 5*v + 180, 3*v + 18 = -3*o for o. -3 Solve -5*g + 4 = y + 9, -2*g + 6 = 2*y for y. 5 Solve 0 = -l - 75*c + 76*c - 4, 3*l + 5*c - 36 = 0 for l. 2 Solve -5*l + 2*j = -4, -33 = 5*j + 2 for l. -2 Solve f + 842*i - 14 = 840*i, 0 = -2*f - i + 7*i - 22 for f. 4 Solve -4*u + y + 157 = 156, -2*u = -3*y - 13 for u. -1 Solve -2*f = -2*d + 6, 2*f - d - 4496 + 2248 = -2249 for f. 2 Solve 3*y - 29*w = 136, 1728*w - 1730*w - 25 = 5*y for y. -3 Solve l - 44 + 62 = -4*z, z = -3 for l. -6 Solve 0 = n - 12, n = -p + 41 - 26 for p. 3 Solve -2*n + 46 = 2464*p - 2468*p, -n - 7 = 4*p for p. -5 Solve -a + 2 = -5*z, -2*a + 84502 = 2*z + 84510 for a. -3 Solve 4*v + 4 = 4*s, 4*s - 434 = -3*v - 423 for s. 2 Solve 6519*h - 6521*h = c - 10, -4*h + 14*c = 44 for h. 3 Solve 3*n + 21 = -4*k, 30*n = 25*n - 15 for k. -3 Solve -2*o = -m - 7, -24*m + 28 = o - 0*o for m. 1 Solve -5*m = -39*f + 44*f - 10, -4*f = 5*m - 8 for f. 2 Solve -5*b = 4*i - 14, -b + i = -3 + 11 for b. -2 Solve -4*i + 152*g = 147*g - 3, -i + 6 = -3*g for i. -3 Solve 5*l - 2*o = 17, 1236*l - 1234*l + 5*o - 30 = 0 for l. 5 Solve 5*y = 2*h + 45, -422*h + 423*h + y - 9 = 0 for h. 0 Solve -24*l + 25*l + 2*z - 12 = 0, 3*z = -2*l + 19 for l. 2 Solve -8988*g + 10 = -2*o - 8992*g, -5*o = 2*g - 9*g + 8 for o. -3 Solve -3*u + 5 - 18 = m, 39 = -5*m - 2*u for m. -7 Solve 17 = -5*p - 15*d + 12*d, 3*p + 2*d = -10 for p. -4 Solve -160*f + 31 = -157*f - 5*n, 2*f = -5*n + 54 for f. 17 Solve -3*d - 11 = -4*p + 18, -6*d + 63 = 3*p for p. 11 Solve 5*t - 2*t = -4*q - 11, -296 + 281 = 3*q for t. 3 Solve j + 5*o = -22, 4*j - 4*o = 3*j + 14 for j. -2 Solve -5*m + 754 = 5*g + 749, 3*g - m = -17 for g. -4 Solve -4*m = -4*q + 16, 0 = -4*q + 3*m + 42 - 25 for q. 5 Solve -10 = 2*y - 8*b, 4*y + 442 = -2*b + 440 for y. -1 Solve 2*x - 2*p = -6*p - 14, -5*x - p + 1 = 0 for x. 1 Solve 19 = 5*x - 945*s + 946*s, -5*s = x - 47 for x. 2 Solve 52*u - 55*u - 14 = -2*o, 0 = -o - 19*u - 75 for o. 1 Solve -3*q = -v + 29, 0 = -909*q + 905*q - 2*v + 38 for q. -2 Solve -4*n = l - 99 + 77, -4*l - 2*n = -18 for l. 2 Solve -q + 110 - 92 = -5*r, -5*q = 2*r + 45 for q. -7 Solve 2*v - 11 = -3*l, 10*l - 3*v + 6*v = 44 for l. 5 Solve 21*t - 18*t + 30 = -5*c, -3*c + 2*t = -1 for c. -3 Solve 86*i + 4*r - 26 = 85*i, 8 = -2*i + 4*r for i. 6 Solve -5*d + 3*w = -37, 5*d + 125 - 146 = -w for d. 5 Solve 2*b + 27 = 6*b - 3*k, 3*b + 2*k = -1 for b. 3 Solve 332*a - 334*a + 10 = -3*u, -5*u + 30 = -15*a for a. -4 Sol
{ "pile_set_name": "DM Mathematics" }
et l(z) = 1. Let n(g) = 3 - 5 + 4 + 0 + 14*g**2. Let v(d) = 2*l(d) - n(d). Give c(v(h)). 42*h**2 Let t(r) be the first derivative of 0*r - 17 + 1/3*r**3 + 0*r**2. Let p(y) = 8*y**2. Calculate p(t(w)). 8*w**4 Let x(v) = -2*v. Let c(j) = -8*j - 281. Give c(x(f)). 16*f - 281 Let i(j) be the first derivative of 0*j + 0*j**2 - 6 - 1/3*j**3. Let n(y) = 20*y**2. What is n(i(l))? 20*l**4 Let j(u) = 6*u - u + 3*u. Let p(w) be the third derivative of 0*w - 5*w**2 + 0*w**3 + 1/24*w**4 + 0. Calculate j(p(h)). 8*h Let o(t) = 4*t**2. Let h(y) = -21*y + 9*y - 28*y + 132*y + 96*y. Determine h(o(w)). 752*w**2 Let c(d) = -25*d**2. Let b(t) = t. Let f(p) = -8*p. Let j(w) = -4*b(w) - f(w). Calculate j(c(u)). -100*u**2 Let o(t) = 59*t - 174*t - 32*t + 9*t - 242*t. Let v(x) = -x. Determine o(v(k)). 380*k Let j(h) = -8*h**2 - 9*h - 9. Let t(u) = u**2 + u + 1. Let x = 73 - 37. Let p(b) = x*t(b) + 4*j(b). Let w(y) = -y**2. Calculate p(w(r)). 4*r**4 Let a(k) = -6*k**2. Let n be (-4 - -2) + 3 + 1. Let t(b) = -4*b**n - b**2 + 4*b**2 + 2*b**2. Let i(j) = -2*a(j) - 15*t(j). Let f(o) = o. Calculate i(f(r)). -3*r**2 Let p(t) = -t. Let q(s) = 2*s. Let x(k) = 7*p(k) - 2*q(k). Let v(r) = 3*r. Calculate v(x(m)). -33*m Let n(x) = -7*x + 12*x - 6*x - 3*x. Let y(q) = -2*q - 3. Let v(a) = 4*a + 5. Let j(k) = 6*v(k) + 10*y(k). Calculate n(j(u)). -16*u Let t(z) = -3022*z. Let d(b) = 6*b. Calculate d(t(a)). -18132*a Let h(w) = 7*w. Let z(j) = 60*j**2 - 2*j + 21. Give z(h(i)). 2940*i**2 - 14*i + 21 Let b(f) = -1653*f. Let q(n) = -30*n**2. Give b(q(u)). 49590*u**2 Let p(u) = -11282142*u. Let m(y) = -y**2. What is m(p(t))? -127286728108164*t**2 Let u(p) be the first derivative of p**3 - 64. Let r(l) = 2*l**2 + 3. Give r(u(v)). 18*v**4 + 3 Let j(s) be the second derivative of s**4/6 - 2*s - 24. Let t(o) = o**2 + 428*o. Give t(j(r)). 4*r**4 + 856*r**2 Let o(n) be the first derivative of 4 + 1/2*n**2 + 0*n. Let x(j) = -8*j**2. What is o(x(q))? -8*q**2 Let n(h) = -2*h - 11. Let u(v) = -8*v + 4. Give n(u(j)). 16*j - 19 Let v(j) = -2*j. Let t = 67 - 57. Let y(d) = 0*d + t*d + 7*d. Determine v(y(z)). -34*z Let m(o) = -4*o + 2. Let z(x) = -52*x**2 - 965*x. Give m(z(u)). 208*u**2 + 3860*u + 2 Let y(k) = -6*k**2 - 4*k + 20. Let c(h) = h**2 + h - 5. Let i(a) = -4*c(a) - y(a). Let f(j) = -j**2 + 387*j. Determine f(i(u)). -4*u**4 + 774*u**2 Let g(x) = 3*x. Let v(z) = -8*z + 6. Let w(d) = -d + 5 - 4 + 0*d. Suppose 0 = 4*l - 4*s - 32, 5*l + 28 = 8*l - 5*s. Let k(h) = l*w(h) - v(h). What is k(g(j))? 6*j Suppose 2*z - 14 = -5*z. Let r(o) = 5*o + z*o + 3*o - 8*o. Let x(v) be the second derivative of v**4/12 + v. What is x(r(b))? 4*b**2 Let j(d) = 16*d. Let t(x) = -41*x + 10. Let v(u) = -1026*u + 252. Let k(s) = 126*t(s) - 5*v(s). Calculate j(k(l)). -576*l Let j(t) = 12*t. Let q(h) = -2*h + 12. Let m(z) = -z + 2. Let x(w) = 6*m(w) - q(w). What is j(x(c))? -48*c Let n(o) = -332*o - 1. Let c(j) = -26*j**2 - 1. Give n(c(b)). 8632*b**2 + 331 Let v(b) = 2*b**2 - 24*b + 20. Let o(s) = -3*s. Determine v(o(i)). 18*i**2 + 72*i + 20 Let c(u) = 23*u. Let b(d) = 22471*d**2 - 2 + 2 + 0 - 22466*d**2. What is b(c(w))? 2645*w**2 Let y = 55 - 21. Let t(d) = -d + 0*d - 4*d + y*d. Let j(x) = -2*x. Determine t(j(l)). -58*l Let m(d) = -2648 + 882 + 882 + 884 - 61*d. Let b(u) = -15*u. Give b(m(r)). 915*r Let p(u) = -936*u**2 + 21*u. Let f(n) = -3*n. Give p(f(q)). -8424*q**2 - 63*q Let r(c) = -106*c. Let u(f) be the third derivative of -f**5/60 + 134*f**2. Give r(u(v)). 106*v**2 Let c(q) be the first derivative of q**4/12 - 13*q + 6. Let t(k) be the first derivative of c(k). Let i(l) = -19*l. What is i(t(g))? -19*g**2 Let u(c) = -46 + 46 + 13*c + 14*c. Let h(t) be the first derivative of 2*t**3/3 + 12. Calculate h(u(p)). 1458*p**2 Let g be (-27)/(-21) + 4/(-14). Let s(h) = 3*h + 7 - g - 6. Let n(o) = 2*o**2. Calculate n(s(c)). 18*c**2 Let k(m) = -57*m**2. Let q(u) = 2*u - 7. Let w(h) = -h**3 - 2*h - 4. Let i be w(0). Let c(x) = -x + 4. Let l(n) = i*q(n) - 7*c(n). Calculate l(k(j)). 57*j**2 Let o(y) be the third derivative of y**4/24 + 3*y**2 + 9*y. Let u(l) = 3*l**2. Calculate u(o(s)). 3*s**2 Let d(x) be the first derivative of -x**2/2 - 9. Let r(s) = -10*s**2 + 22*s**2 - 37*s**2. Determine d(r(u)). 25*u**2 Let t(f) = -f + 1. Suppose 0 = 3*d + 5*d + 8. Let s(w) = -5*w + 6. Let y(o) = d*s(o) + 6*t(o). Let n(j) = -4*j - 3*j - 3*j. Give y(n(p)). 10*p Let n(k) be the third derivative of -k**4/24 - 2*k**2. Suppose -5*r = -s - 5, 0 = -0*r + r - s + 3. Let m(j) = -j**r - 4*j**2 + 0*j**2 + 3*j**2. Give m(n(z)). -2*z**2 Let k(x) = -2*x**2 + x - 1. Let m(o) = 21*o**2 - 18*o + 18. Let j(g) = -18*k(g) - m(g). Let i(h) = -13*h**2. Give i(j(t)). -2925*t**4 Let a(h) = 2*h. Let j(o) = -4*o - 17. Let x be j(-5). Suppose x*s - 10 = 2*s + 2*g, 2*s + 2*g + 4 = 0. Let r(m) = -8 + 6 + s + 4*m. Give a(r(y)). 8*y Let x(v) = -5*v + 0*v + 0*v + 2*v + 7*v. Let w(a) = -34*a. Give w(x(h)). -136*h Let b(z) = z**2 - z + 1. Let o = 128 - 78. Let a(n) = -15*n**2 + 10*n - 10. Let l(w) = o*b(w) + 5*a(w). Let g(f) = -2*f**2. Determine g(l(t)). -1250*t**4 Suppose 0 = -2*o + 6*o - 60. Suppose a = 4*m - o, -5*m + 4*a + 0*a = -27. Let s(f) = 4*f - m*f + 0*f. Let w(d) = 12*d**2. What is w(s(r))? 12*r**2 Let k(y) = -256*y. Let u(b) = 86*b**2 + 14*b - 1. Determine k(u(g)). -22016*g**2 - 3584*g + 256 Let o(q) = 57*q**2 - q. Let w(f) = 1340*f. What is o(w(g))? 102349200*g**2 - 1340*g Let x(u) be the second derivative of 7*u**3/3 - 82*u. Let f(q) = 23*q**2. Determine x(f(r)). 322*r**2 Let p = 95 - 89. Let j(o) be the third derivative of 0 - 1/12*o**4 + 0*o**3 + p*o**2 + 0*o. Let z(l) = l. What is j(z(w))? -2*w Let c(w) = w**2 - 112*w - 68. Let f(o) = -2*o. Determine c(f(q)). 4*q**2 + 224*q - 68 Let v(k) = k**2. Let g(m) be the third derivative of 47*m**5/30 - 230*m**2 + 1. Determine g(v(c)). 94*c**4 Let p(x) = 96*x**2. Let m(l) be the first derivative of l**3/3 - 22. Determine m(p(z)). 9216*z**4 Let i(z) = 586*z + 22*z**2 + 592*z - 1178*z. Let j(h) = -2*h. Give j(i(g)). -44*g**2 Let o(q) = -5*q. Let f(h) be the second derivative of h**3 - 3*h. Let d(i) = 6*f(i) + 7*o(i). Let j(v) = -v**2 - 13*v + 13*v. Determine j(d(n)). -n**2 Let r(n) = -21*n**2 + 3*n. Let v(h) be the second derivative of -h**4/4 - 177*h. Determine r(v(s)). -189*s**4 - 9*s**2 Let q(o) = 356*o. Let u(i) = -107*i - 2. Give q(u(p)). -38092*p - 712 Let w(s) = -164*s**2. Let h(y) = y + 15*y - 2*y - 5*y - 10*y. Determine w(h(t)). -164*t**2 Let i(q) = 6*q. Let z(y) = -y**2 + y. Let a(d) = -d**2 - 10*d + 5. Let g be a(-11). Let r(s) = -3*s**2 + 6*s. Let f(k) = g*z(k) + r(k). Give f(i(t)). 108*t**2 Let q(f) = -76*f**2 + 1. Let w(p) = 6*p. Let u(n) = 2*n. Suppose -4*t - 34 = 2*m, 0*t + 4*t + 19 = 3*m. Let a(z) = t*u(z) + 2*w(z). What is q(a(l))? -304*l**2 + 1 Let u(c) = -13*c**2 + c. Let m(x) = 5*x**2 + 6*x + 6. Suppose 203 = j + 192. Let f(s) = -9*s**2 - 11*s - 11. Let b(w) = j*m(w) + 6*f(w). Give b(u(y)). 169*y**4 - 26*y**3 + y**2 Let k(t) = 2*t. Let n(h) = -71*h**2 - 2*h. Let o(a) = -71*a**2 - a. Let l(v) = 3*n(v) - 4*o(v). Determine k(l(c)). 142*c**2 - 4*c Let y(w) = -4*w. Let k(f) = 2*f**2 - 2*f - 2. Let n be k(-2). Let p(o) = 10*o**2 - 23*o**2 + n*o**2. Determine y(p(i)). 12*i**2 Let y(d) = -d. Let z(c) = 58809*c + 5. Determine y(z(n)). -58809*n - 5 Let d(r) = -40*r. Let a(h) = 21*h. Let x(o) = -5*a(o) - 3*d(o). Let s(f) be the first derivative of -f**3 + 8. What is x(s(n))? -45*n**2 Let m(t) = -t**2. Let b(p) = -216410*p. Give m(b(w)). -46833288100*w**2 Let l(o) = -32*o**2. Let i be (5 - 2)*34/6. Let t(f) = i*f**2 - 8*f**2 + 2*f**2. Let x(q) = 3*l(q) + 8*t(q). Let v(h) = h. Give v(x(m)). -8*m**2 Let d(b) = 19*b - 15. Let s(g) = -48*g + 36. Let x(m) = 12*d(m) + 5*s(m). Let y(h) = 6*h. What is x(y(f))? -72*f Let d(s) = -5*s + 0*s - s. Let g(w) be the second derivative of w**5/40 - w**3/2 - 8*w. Let m(h) be the second derivative of g(h). Determine d(m(j)). -18*j Let z(a) = -3244*a**2 - 13. Let h(v) = v**2. Determine z(h(p)). -3244*p**4 - 13 Let v(m) = 9*m. Let o(l) = -2*l - 3202. Determine v(o(w)). -18*w - 28818 Let n(h) = -5*h**2 + 7*h**2 - h**2. Let o(c) be the second derivative of -4*c**3 + 5*c - 2. Determine o(n(k)). -24*k**2 Let j(m) = -34*m**2. Let d(g) = -5*g**2. Let k = -10 - 25. Let h(n) = k*d(n) +
{ "pile_set_name": "DM Mathematics" }
- 33*i**4/5 - 9*i**3 + 21*i**2 + 228*i/5 + 108/5 = 0. Calculate i. -9, -2, -1, 2 Find i such that -4*i**5/5 - 376*i**4/5 - 10416*i**3/5 - 14112*i**2 = 0. -42, -10, 0 Factor 4*f**3 + 64*f**2 + 164*f + 104. 4*(f + 1)*(f + 2)*(f + 13) Determine u so that 28*u**5 + 464*u**4 + 2188*u**3 + 3736*u**2 + 2624*u + 640 = 0. -10, -4, -1, -4/7 Factor 3*r**4/5 + 12*r**3/5 + 3*r**2 + 6*r/5. 3*r*(r + 1)**2*(r + 2)/5 What is n in -15*n**5 + 980*n**4 + 1670*n**3 + 340*n**2 - 335*n = 0? -1, 0, 1/3, 67 Determine x, given that -x**5/2 + 2*x**4 + x**3/2 - 2*x**2 = 0. -1, 0, 1, 4 Factor -2*h**2 - 684*h - 58482. -2*(h + 171)**2 Determine l so that 9*l**4 - 120*l**3 + 411*l**2 - 48*l - 252 = 0. -2/3, 1, 6, 7 Factor 2*d**3/19 - 2*d**2/19 - 128*d/19 + 128/19. 2*(d - 8)*(d - 1)*(d + 8)/19 Factor -2*h**2/7 + 8*h/7 - 8/7. -2*(h - 2)**2/7 Factor -2*w**2/7 + 968*w/7 + 970/7. -2*(w - 485)*(w + 1)/7 Factor -o**2. -o**2 Factor 5*w**3 - 155*w**2 - 330*w. 5*w*(w - 33)*(w + 2) Suppose t**4 + 3*t**3 - 6*t**2 - 8*t = 0. Calculate t. -4, -1, 0, 2 Suppose -4*m**2 + 1228*m + 1232 = 0. What is m? -1, 308 Determine f so that -5*f**5 + 125*f**4 + 135*f**3 - 125*f**2 - 130*f = 0. -1, 0, 1, 26 Let -9*g**5/2 + 105*g**4/2 - 114*g**3 - 198*g**2 + 456*g - 192 = 0. What is g? -2, 2/3, 1, 4, 8 Find n, given that -4*n**4/9 - 4*n**3 - 4*n**2 + 164*n/9 + 56/3 = 0. -7, -3, -1, 2 Solve 28*c**3 - 20*c**2 - 8*c = 0. -2/7, 0, 1 Solve -4*v**4 + 108*v**3 - 800*v**2 + 1392*v + 2304 = 0 for v. -1, 6, 16 Factor -f**3/3 + 238*f**2/3 - 14161*f/3. -f*(f - 119)**2/3 Factor -10*l**2/9 + 626*l - 2252/9. -2*(l - 563)*(5*l - 2)/9 Factor -5*r**4 + 10*r**2 - 5. -5*(r - 1)**2*(r + 1)**2 Factor 2*q**5 + 18*q**4 - 44*q**3 + 4*q**2 + 42*q - 22. 2*(q - 1)**3*(q + 1)*(q + 11) Factor -t**4/4 - 17*t**3/4 - 87*t**2/4 - 91*t/4 + 49. -(t - 1)*(t + 4)*(t + 7)**2/4 Factor 44*g**3 + 1988*g**2 + 2296*g + 352. 4*(g + 1)*(g + 44)*(11*g + 2) Factor -4*m**2 + 96*m + 324. -4*(m - 27)*(m + 3) Let -4*d**3/5 - 6*d**2 + 16*d/5 = 0. What is d? -8, 0, 1/2 Factor 4*j**4 + 100*j**3 - 228*j**2 - 324*j. 4*j*(j - 3)*(j + 1)*(j + 27) Solve 4*l**2/3 + 2392*l/3 + 4768/3 = 0. -596, -2 Factor p**5/5 - 5*p**4 + 214*p**3/5 - 656*p**2/5 + 128*p/5 + 1024/5. (p - 8)**3*(p - 2)*(p + 1)/5 Factor v**2 - 25*v - 224. (v - 32)*(v + 7) Let -3*z**4 + 18*z**3 - 36*z**2 + 30*z - 9 = 0. Calculate z. 1, 3 Factor -4*w**3 - 1252*w**2 + 4*w + 1252. -4*(w - 1)*(w + 1)*(w + 313) Suppose 4*b**5/3 - 12*b**4 + 28*b**3 + 68*b**2/3 - 136*b + 96 = 0. Calculate b. -2, 1, 3, 4 Factor 3*f**3 - 60*f**2 + 111*f - 54. 3*(f - 18)*(f - 1)**2 Solve 3*i**4 + 57*i**3 - 192*i**2 + 132*i = 0. -22, 0, 1, 2 Find t such that -t**3/5 + 21*t**2/5 - 38*t/5 = 0. 0, 2, 19 Factor 2*l**3 - 122*l**2 - 1730*l - 1606. 2*(l - 73)*(l + 1)*(l + 11) Suppose h**5 - 22*h**4 - 6*h**3 + 140*h**2 - 179*h + 66 = 0. What is h? -3, 1, 22 Solve -a**4/4 - 13*a**3/4 - 3*a**2/4 + 229*a/4 + 55 = 0. -11, -5, -1, 4 Suppose -2*g**4 + 618*g**3 - 2450*g**2 + 3054*g - 1220 = 0. Calculate g. 1, 2, 305 Factor -2*a**3 - 236*a**2 - 234*a. -2*a*(a + 1)*(a + 117) Let 2*i**2/3 + 28*i - 368/3 = 0. Calculate i. -46, 4 Determine i so that 2*i**2/7 + 1052*i/7 + 2096/7 = 0. -524, -2 Find d, given that -9*d**5/4 - 1023*d**4/8 - 13923*d**3/8 + 17487*d**2/8 - 2523*d/8 = 0. -29, 0, 1/6, 1 Factor -2*b**3 - 578*b**2 - 4528*b - 8992. -2*(b + 4)**2*(b + 281) Find r, given that -r**3/2 + 54*r**2 + r/2 - 54 = 0. -1, 1, 108 Factor -l**2/4 + 561*l/2 - 314721/4. -(l - 561)**2/4 Find t such that 19683*t**2/4 - 243*t + 3 = 0. 2/81 Factor -128881*n**3/4 - 385207*n**2/4 + 1076*n - 3. -(n + 3)*(359*n - 2)**2/4 Find o, given that -2*o**2/15 + 578*o/15 = 0. 0, 289 Factor 5*t**5 + 200*t**4 + 2880*t**3 + 16400*t**2 + 14000*t - 120000. 5*(t - 2)*(t + 10)**3*(t + 12) Suppose 6*d**5/11 - 20*d**4/11 - 58*d**3/11 - 32*d**2/11 = 0. Calculate d. -1, 0, 16/3 Factor -3*k**5 + 93*k**4 - 90*k**3. -3*k**3*(k - 30)*(k - 1) Factor -2*j**2/7 + 96*j/7 - 184/7. -2*(j - 46)*(j - 2)/7 Solve 2*b**5 + 2*b**4 - 14*b**3 - 2*b**2 + 12*b = 0. -3, -1, 0, 1, 2 Factor -413678*f**4 - 156584*f**3 - 22080*f**2 - 1376*f - 32. -2*(17*f + 2)*(23*f + 2)**3 Determine c, given that 51*c**3/2 - 27*c**2 + 3*c/2 = 0. 0, 1/17, 1 Factor 64*p**5 - 992*p**4 + 2404*p**3 + 11160*p**2 + 8100*p. 4*p*(p - 9)**2*(4*p + 5)**2 Factor -4*h**2 - 1484*h + 4488. -4*(h - 3)*(h + 374) Solve -u**4 + 7*u**3 - 11*u**2 - 7*u + 12 = 0. -1, 1, 3, 4 Solve 2*m**5/3 - 32*m**4/9 + 22*m**3/9 + 44*m**2/9 - 16*m/9 = 0 for m. -1, 0, 1/3, 2, 4 Factor -d**3/4 - 3*d**2/4 - d/2. -d*(d + 1)*(d + 2)/4 Determine h, given that -2*h**3/5 - 7204*h**2/5 + 7206*h/5 = 0. -3603, 0, 1 Factor 21*u**2 + 75*u + 54. 3*(u + 1)*(7*u + 18) Factor 2*j**3 + 98*j**2 + 92*j - 192. 2*(j - 1)*(j + 2)*(j + 48) Suppose r**3/11 - 2*r**2/11 = 0. Calculate r. 0, 2 Solve 3*z**3 + 6*z**2 - 3360*z - 45600 = 0. -20, 38 Factor -5*n**3 + 330*n**2 + 695*n - 1020. -5*(n - 68)*(n - 1)*(n + 3) Factor -2*c**2/7 + 10*c + 312/7. -2*(c - 39)*(c + 4)/7 Solve 4*u**2 - 32*u + 64 = 0 for u. 4 Suppose 105*a**3/2 - 111*a**2/2 - 102*a + 6 = 0. What is a? -1, 2/35, 2 Factor 4*p**3 - 88*p**2 - 100*p + 184. 4*(p - 23)*(p - 1)*(p + 2) Factor 21*g**2 - 40*g - 4. (g - 2)*(21*g + 2) Suppose -3*h**3 + 33*h**2 - 54*h = 0. Calculate h. 0, 2, 9 Factor 3*l**2 - 90*l - 93. 3*(l - 31)*(l + 1) Solve -3*n**4 + 75*n**3 + 252*n**2 + 12*n - 336 = 0 for n. -2, 1, 28 Find p such that -15*p**4/4 + 445*p**3/4 - 275*p**2/4 - 445*p/4 + 145/2 = 0. -1, 2/3, 1, 29 Suppose -3*n**3 + 305*n**2 - 607*n/3 + 101/3 = 0. What is n? 1/3, 101 Factor -32*k**4 - 368*k**3 - 504*k**2 - 244*k - 40. -4*(k + 10)*(2*k + 1)**3 Factor -34*k**2/5 - 20*k/3 + 2/15. -2*(k + 1)*(51*k - 1)/15 Factor -4*b**4 + 24*b**3 + 900*b**2 + 1672*b. -4*b*(b - 19)*(b + 2)*(b + 11) Let -z**5/6 + 79*z**4/6 + 40*z**3/3 = 0. Calculate z. -1, 0, 80 Let -5*p**3 + 31695*p**2 - 66971535*p + 47170284485 = 0. What is p? 2113 Find b such that b**4/3 - 13*b**3/2 + 143*b**2/6 + 59*b - 104/3 = 0. -2, 1/2, 8, 13 Find y such that -y**2/2 + 340*y - 57800 = 0. 340 Factor 4*m**4 - 8*m**3 - 28*m**2 - 16*m. 4*m*(m - 4)*(m + 1)**2 Factor -i**2/4 - 13*i/2 - 153/4. -(i + 9)*(i + 17)/4 Solve y**4/2 - 7*y**3/2 - 87*y**2/2 + 103*y/2 + 91 = 0. -7, -1, 2, 13 Suppose -4*g**5 - 120*g**4 - 116*g**3 = 0. Calculate g. -29, -1, 0 Solve 3*k**4 + 888*k**3 - 8154*k**2 + 24624*k - 24705 = 0. -305, 3 Suppose -5*p**2 + 35*p = 0. What is p? 0, 7 Solve u**2 + 533*u = 0. -533, 0 Find d such that 7*d**3/2 - 8*d**2 + 2*d = 0. 0, 2/7, 2 Factor -2*a**4/5 - a**3 + 11*a**2/5 - 4*a/5. -a*(a - 1)*(a + 4)*(2*a - 1)/5 Factor -5*w**3 - 25*w**2 + 145*w + 525. -5*(w - 5)*(w + 3)*(w + 7) Factor 6*v**2 + 429*v + 4284. 3*(v + 12)*(2*v + 119) Let -4*h**3 + 28*h**2 + 112*h + 80 = 0. Calculate h. -2, -1, 10 Find y such that 2*y**4 + 20*y**3 + 22*y**2 - 92*y - 96 = 0. -8, -3, -1, 2 Let k**3 - 5*k**2 - 8*k + 12 = 0. What is k? -2, 1, 6 Factor k**4/2 - 91*k**3/2 + 2535*k**2/2 - 28561*k/2 + 57122. (k - 52)*(k - 13)**3/2 Factor 3*k**4 + 9*k**3 - 18*k**2 - 24*k. 3*k*(k - 2)*(k + 1)*(k + 4) Find t such that -5*t**3/3 + 4970*t**2/3 = 0. 0, 994 Determine y, given that -2*y**4/3 - 68*y**3/3 + 440*y**2 + 71632*y/3 + 681472/3 = 0. -22, 32 Factor l**4/5 + 52*l**3/5 + 516*l**2/5 + 288*l. l*(l + 6)**2*(l + 40)/5 What is p in -2*p**2/11 + 80*p/11 = 0? 0, 40 Solve -2*y**3/7 + 136*y**2/7 + 878*y/7 + 740/7 = 0. -5, -1, 74 What is j in -5*j**5 + 2480*j**4 - 302525*j**3 - 1237510*j**2 - 1557500*j - 625000 = 0? -2, -1, 250 Determine v so that 2*v**5/11 - 30*v**3/11 + 20*v**2/11 + 48*v/11 = 0. -4, -1, 0, 2, 3 Factor -3*x**4/7 - 12*x**3/7 + 9*x**2/7 + 54*x/7. -3*x*(x - 2)*(x + 3)**2/7 Factor j**2/5 + 3264*j/5 + 2663424/5. (j + 1632)**2/5 What is s in -10*s**2 - 1926*s + 772 = 0? -193, 2/5 Solve 3*g**5 - 24*g**4 + 57*g**3 - 36*g**2 = 0. 0, 1, 3, 4 Find s, given that 3*s**4 - 27*s**3 + 54*s**2 = 0. 0, 3, 6 Factor 2*q**3/7 - 36*q**2/7 - 14*q + 1140/7. 2*(q - 19)*(q - 5)*(q + 6)/7 Factor -2*m**3/5 + 24*m**2/5 - 42*m/5 + 4. -2*(m - 10)*(m - 1)**2/5 Find t, given that 2*t**5 + 66*t**4 - 212*t**3 + 144*t**2 = 0. -36, 0, 1, 2 Suppose 2*j**5/21 - 44*j**3/21 + 40*j**2/21 + 2*j - 40/21 = 0. What is j? -5, -1, 1, 4 Suppose 5*p**5/4 + 25*p**4/2 + 185*p**3/4 + 80*p**2 + 65*p + 20 = 0. What is p? -4, -2, -1 Factor 3*r**2/5 - 921*r/5 + 918/5. 3*(r
{ "pile_set_name": "DM Mathematics" }
*f - 12 = 0. What is f? -2, -4/7, -1/3, 3 Factor 4*n**4 + 628*n**3. 4*n**3*(n + 157) Find v, given that 4*v**2 - 88*v - 192 = 0. -2, 24 Determine d, given that 4*d**4 - 108*d**3 + 1028*d**2 - 3924*d + 4536 = 0. 2, 7, 9 Factor 15*i**3 + 115*i**2 + 220*i + 100. 5*(i + 2)*(i + 5)*(3*i + 2) What is b in -2*b**5 + 56*b**4 - 358*b**3 - 416*b**2 = 0? -1, 0, 13, 16 Factor 3*k**3/8 + 3045*k**2/8 - 18351*k/8 + 27567/8. 3*(k - 3)**2*(k + 1021)/8 Determine y, given that 5*y**5 - 45*y**4 + 115*y**3 - 35*y**2 - 120*y + 80 = 0. -1, 1, 4 Solve -2*j**5/11 + 38*j**4/11 + 274*j**3/11 + 626*j**2/11 + 592*j/11 + 200/11 = 0. -2, -1, 25 Factor -3*o**5/7 - 633*o**4/7 - 4815*o**3 - 4725*o**2. -3*o**2*(o + 1)*(o + 105)**2/7 Factor 2*n**5/5 + 14*n**4/5 - 76*n**3/5 + 124*n**2/5 - 86*n/5 + 22/5. 2*(n - 1)**4*(n + 11)/5 Factor 3*q**2 - 2622*q + 572907. 3*(q - 437)**2 Factor -4*o**4 - 4*o**3 + 136*o**2 + 256*o - 384. -4*(o - 6)*(o - 1)*(o + 4)**2 Factor 4*r**3 + 96*r**2 + 252*r. 4*r*(r + 3)*(r + 21) Factor 2*p**2/7 + 12*p/7 - 80/7. 2*(p - 4)*(p + 10)/7 Factor z**2/4 - 89*z/4 + 129/2. (z - 86)*(z - 3)/4 Factor w**4/6 + 107*w**3/6 + 157*w**2/3 + 104*w/3. w*(w + 1)*(w + 2)*(w + 104)/6 Factor 3*u**4/5 + 6*u**3/5 - 9*u**2/5 - 12*u/5 + 12/5. 3*(u - 1)**2*(u + 2)**2/5 Find a such that -3*a**4 - 9*a**3 + 12*a = 0. -2, 0, 1 Factor 5*t**3 - 450*t**2 + 10125*t. 5*t*(t - 45)**2 Determine d so that 3*d**3/2 + 699*d**2 - 2805*d/2 + 702 = 0. -468, 1 Factor a**2 + 64*a - 132. (a - 2)*(a + 66) Factor n**5 + 655*n**4 + 171610*n**3 + 22480910*n**2 + 1472499605*n + 38579489651. (n + 131)**5 Factor -j**3/2 + 159*j**2/2 - 8427*j/2 + 148877/2. -(j - 53)**3/2 Solve 3*x**4/5 - 441*x**3/5 + 87*x**2 + 441*x/5 - 438/5 = 0 for x. -1, 1, 146 Determine i so that -2*i**2/19 + 28*i/19 - 96/19 = 0. 6, 8 Find k, given that k**2 - 4*k - 12 = 0. -2, 6 Factor 2*s**3 + 10*s**2 + 14*s + 6. 2*(s + 1)**2*(s + 3) Suppose -220*b**4/3 - 905*b**3/3 - 1235*b**2/3 - 670*b/3 - 40 = 0. What is b? -2, -1, -3/4, -4/11 Suppose 2*f**5 + 200*f**4/3 + 1598*f**3/3 - 1156*f**2/3 = 0. Calculate f. -17, 0, 2/3 Find s, given that -16*s**5/13 - 248*s**4/13 + 684*s**3/13 - 634*s**2/13 + 250*s/13 - 36/13 = 0. -18, 1/2, 1 What is f in -3*f**3/7 + 120*f**2/7 + 3*f/7 - 120/7 = 0? -1, 1, 40 Find z such that -z**3/3 - 3*z**2 + 139*z + 425/3 = 0. -25, -1, 17 What is z in 10*z**3/11 + 336*z**2/11 - 136*z/11 = 0? -34, 0, 2/5 Find k such that 36*k**3 + 1196*k**2 - 960*k - 272 = 0. -34, -2/9, 1 Find p such that 2*p**4/3 + 14*p**3/3 + 34*p**2/3 + 34*p/3 + 4 = 0. -3, -2, -1 Factor 2*v**2/11 - 170*v/11 - 712/11. 2*(v - 89)*(v + 4)/11 Factor -5*l**3 + 15*l**2 + 180*l + 160. -5*(l - 8)*(l + 1)*(l + 4) Determine c so that c**5 - 16*c**4 + 54*c**3 + 16*c**2 - 55*c = 0. -1, 0, 1, 5, 11 Determine k, given that -2*k**5/5 - 32*k**4/5 + 154*k**3/5 - 24*k**2 = 0. -20, 0, 1, 3 Suppose 4*t**2 + 40*t + 96 = 0. Calculate t. -6, -4 Factor 5*c**3/11 - c**2/11 - 64*c/11 - 84/11. (c + 2)**2*(5*c - 21)/11 Find b, given that 5*b**2 - 3985*b + 15860 = 0. 4, 793 Let -w**3/10 + 2613*w**2/10 - 2275923*w/10 + 660776311/10 = 0. What is w? 871 Determine s, given that -5*s**2 - 56700*s - 160744500 = 0. -5670 What is w in -3*w**5/5 + 150*w**4 - 62748*w**3/5 + 1777362*w**2/5 - 1715361*w/5 = 0? 0, 1, 83 Let 2*k**4/3 + 112*k**3/3 - 198*k**2 + 968*k/3 - 488/3 = 0. What is k? -61, 1, 2 Factor 2*y**2 - 360*y + 16200. 2*(y - 90)**2 Factor 4*h**3 + 44*h**2 + 140*h + 100. 4*(h + 1)*(h + 5)**2 Suppose -2*b**2/3 + 340*b/3 - 338/3 = 0. Calculate b. 1, 169 Factor 4*d**2 + 1180*d - 3576. 4*(d - 3)*(d + 298) Factor -18*t**4 + 4*t**3 + 162*t**2 - 36*t. -2*t*(t - 3)*(t + 3)*(9*t - 2) Factor 3*c**5 - 24*c**4 + 63*c**3 - 66*c**2 + 24*c. 3*c*(c - 4)*(c - 2)*(c - 1)**2 Let -5*l**3 + 15*l**2 + 50*l = 0. Calculate l. -2, 0, 5 Determine u, given that -3*u**5 + 630*u**4 - 33066*u**3 - 1896*u**2 + 100485*u - 66150 = 0. -2, 1, 105 Determine j, given that 3*j**5 - 9*j**4 - 30*j**3 - 6*j**2 + 27*j + 15 = 0. -1, 1, 5 What is q in 147*q**5 - 84*q**4 - 429*q**3 + 546*q**2 - 204*q + 24 = 0? -2, 2/7, 1 Factor -a**3/10 - 62*a**2/5 - 363*a/10. -a*(a + 3)*(a + 121)/10 Determine f, given that 3*f**3/2 - 9*f**2 + 33*f/2 - 9 = 0. 1, 2, 3 Factor -2*k**4/9 - 14*k**3/9 - 22*k**2/9 - 10*k/9. -2*k*(k + 1)**2*(k + 5)/9 Let q**5/3 - 100*q**4 - 1823*q**3/3 - 1322*q**2 - 3668*q/3 - 408 = 0. Calculate q. -2, -1, 306 Let -5*b**2 - 150*b + 875 = 0. Calculate b. -35, 5 Factor h**2/3 + 1132*h/3 + 320356/3. (h + 566)**2/3 Factor 1200*i**2/7 + 360*i/7 + 27/7. 3*(20*i + 3)**2/7 Determine j so that -j**5/3 + 7*j**4/3 - 11*j**3/3 - 7*j**2/3 + 4*j = 0. -1, 0, 1, 3, 4 Let 18*y**5/5 + 114*y**4/5 - 172*y**3/5 - 1276*y**2/5 + 178*y - 30 = 0. What is y? -5, 1/3, 3 Factor -2*s**4 + 6*s**3 - 6*s**2 + 2*s. -2*s*(s - 1)**3 Let 2*k**3/9 - 2*k**2 - 44*k/3 - 112/9 = 0. What is k? -4, -1, 14 Suppose 2*n**2/15 - 8*n/3 + 34/5 = 0. What is n? 3, 17 Solve 4*v**2 - 8*v + 4 = 0. 1 Suppose -4*y**4 - 1400*y**3 - 123892*y**2 - 243600*y - 121104 = 0. What is y? -174, -1 What is k in 2*k**5 - 469*k**4/2 + 14037*k**3/2 - 8468*k**2 + 1682*k = 0? 0, 1/4, 1, 58 Factor -18*k**4 + 228*k**3 - 242*k**2 - 3040*k - 3200. -2*(k - 8)**2*(3*k + 5)**2 Determine w, given that -w**2/7 - 18*w + 127/7 = 0. -127, 1 Suppose -22*w**5 - 26*w**4 + 370*w**3 + 530*w**2 - 708*w - 144 = 0. Calculate w. -3, -2/11, 1, 4 Factor 24*t**5 + 25*t**4 + t**3. t**3*(t + 1)*(24*t + 1) Solve 4*k**5 - 4*k**4 = 0 for k. 0, 1 Factor -w**3/5 + 146*w**2/5 + w/5 - 146/5. -(w - 146)*(w - 1)*(w + 1)/5 Let 3*q**5/11 - 5*q**4/11 - 4*q**3/11 + 4*q**2/11 = 0. What is q? -1, 0, 2/3, 2 Find n, given that 12*n**3 + 423*n**2 + 105*n = 0. -35, -1/4, 0 Factor 2*h**3 - 44*h**2 + 230*h - 300. 2*(h - 15)*(h - 5)*(h - 2) Find d such that 2*d**2/5 + 52*d/5 = 0. -26, 0 Find u, given that -4*u**5 + 100*u**4 + 588*u**3 + 380*u**2 - 584*u - 480 = 0. -4, -1, 1, 30 Factor -4*b**2 + 24*b - 36. -4*(b - 3)**2 Factor -2*y**3 - 18*y**2 - 36*y. -2*y*(y + 3)*(y + 6) Determine f so that -3*f**2 - 2715*f + 8172 = 0. -908, 3 Find v such that 2*v**5 + 22*v**4 + 60*v**3 - 112*v**2 - 704*v - 768 = 0. -4, -2, 3 Suppose 2*x**2/3 + 4*x + 10/3 = 0. What is x? -5, -1 Factor 5*o**2 - 52050*o + 135460125. 5*(o - 5205)**2 What is m in 2*m**3 - 92*m**2 + 1144*m - 1936 = 0? 2, 22 Factor -i**4 - 19*i**3 - 74*i**2 - 56*i. -i*(i + 1)*(i + 4)*(i + 14) Let -35*j**5 - 136*j**4 + 55*j**3 + 152*j**2 - 20*j - 16 = 0. What is j? -4, -1, -2/7, 2/5, 1 Suppose 4*q**2 - 156*q + 432 = 0. Calculate q. 3, 36 Factor -4*g**3 + 8*g**2 + 36*g - 72. -4*(g - 3)*(g - 2)*(g + 3) Solve k**3/9 + 1433*k**2/9 - 478*k/3 = 0. -1434, 0, 1 Factor -f**5 - 6*f**4 - 9*f**3 + 4*f**2 + 12*f. -f*(f - 1)*(f + 2)**2*(f + 3) Suppose 2*z**3 + 42*z**2 - 2*z - 42 = 0. What is z? -21, -1, 1 Factor 4*l**4 - 56*l**3 - 60*l**2. 4*l**2*(l - 15)*(l + 1) Determine f so that -f**4 + 7*f**3 - 15*f**2 + 9*f = 0. 0, 1, 3 Factor 2*q**5 + 20*q**4 + 26*q**3 - 48*q**2. 2*q**2*(q - 1)*(q + 3)*(q + 8) What is k in -k**2 - 16*k = 0? -16, 0 Factor 5*w**3 + 450*w**2 + 3360*w + 6560. 5*(w + 4)**2*(w + 82) Solve 5*j**4 + 310*j**3 + 4805*j**2 = 0. -31, 0 Factor 3*z**4 + 36*z**3 + 135*z**2 + 162*z. 3*z*(z + 3)**2*(z + 6) Determine m so that m**3 + 365*m**2 + 1082*m - 1448 = 0. -362, -4, 1 Factor -5*h**3 - 25*h**2 - 10*h + 40. -5*(h - 1)*(h + 2)*(h + 4) Find c such that 4*c**3/3 - 20*c**2/3 + 32*c/3 - 16/3 = 0. 1, 2 Factor 4*y**3/7 - 72*y**2/7 - 244*y/7 - 24. 4*(y - 21)*(y + 1)*(y + 2)/7 Factor 2*b**4 + 38*b**3 - 56*b**2 - 296*b + 480. 2*(b - 2)**2*(b + 3)*(b + 20) Determine y so that 2*y**3/5 + 64*y**2/5 + 416*y/5 + 768/5 = 0. -24, -4 Determine z so that -5*z**4 - 440*z**3 - 9675*z**2 + 440*z + 9680 = 0. -44, -1, 1 Find l such that -4*l**2 + 8*l + 12 = 0. -1, 3 Determine r, given that -3*r**5/2 + 9*r**4/2 + 75*r**3/2 + 75*r**2/2 - 36*r - 42 = 0. -2, -1, 1, 7 Solve 3*h**2/8 - 159*h/4 + 8427/8 = 0. 53 Factor 5*j**3 - 180*j**2 + 325*j + 510. 5*(j - 34)*(j - 3)*(j + 1) Let 2*i**5/19 + 40*i**4/19 + 24*i**3/19 - 268*i**2/19 - 26*i/19 + 12 = 0. Calculate i. -19, -3, -1, 1, 2 Factor m**2 + 37*m + 160. (m + 5)*(m + 32) Factor g**3/5 + g**2 + 4*g/5. g*(g + 1)*(g + 4)/5 Find i, given that -2*i**3/11 + 162*i**2/11 = 0. 0, 81 Determine j so that 5*j**2 - 10*j + 5 = 0. 1 Determine k, given that 4*k**2/7 + 52*k/7 = 0. -13, 0 S
{ "pile_set_name": "DM Mathematics" }
+ 15))? 15 -1 + (-11 - (-16 + 6)) - -20 18 What is (375 - 373) + (-2 + (3 - 2) - -2)? 3 Calculate 1 + 2 + -3 + 0 + -81 + 82. 1 What is -3 - (-8 + 0 + 0 + 11 + -6)? 0 What is the value of (61 + -88 - -16) + -12 + 1? -22 Evaluate (44 - 6) + -11 + -7. 20 What is 6 - (37 - (0 - -12)) - 0? -19 Evaluate -2 + -41 + 29 - (-21 + 1). 6 Calculate 7 + 4 + (5 + -8 - -3 - -1). 12 -10 + -1 + 10 + -32 + 16 - -3 -14 10 + -15 + (13 - 10) + 6 + -2 2 -3 - (3 + -3 - (3 - 8)) -8 What is the value of (-5 + -3 - 2) + (5 + -1 - 5)? -11 -9 + 3 + (3 - (5 + 6)) -14 Calculate 15 - (-12 - -32 - 2). -3 Calculate -25 + 12 + (-15 - -24). -4 What is the value of -297 + 285 - (0 + 11)? -23 Calculate (-6 - -3) + (8 + -7 - (-2 - 0)). 0 Calculate -343 - -326 - (-28 + 0). 11 Calculate 8 + (7 - (-4 - -12 - (5 - 7))). 5 What is the value of 8 - (10 - 15 - 8 - -5)? 16 What is -2 + (-2 - 3 - -4)? -3 What is the value of -19 + 0 + -21 + 19? -21 Calculate -6 - (9 - 4 - 3) - -20. 12 What is the value of (0 + -10 - -8) + 33? 31 Evaluate 2 + -3 + 4 - (45 - 38). -4 What is the value of -5 + 9 + 1 + 1 - (44 + -24)? -14 -12 + 0 + (0 - 7) + -9 -28 Calculate -12 + 14 + -12 - -31. 21 Calculate (-1 - -1) + -72 + 69. -3 Evaluate (11 - 14 - 32) + (18 - 13). -30 -20 + (-15 - -18 - -14) -3 Calculate 12 + -15 - (10 + 17 + -7 + -10). -13 3 + (11 - 10 - 15) -11 Calculate -9 - (10 + -3 - (8 - 1) - 7). -2 Evaluate 35 + -41 + -1 + -20. -27 Evaluate 57 + -46 + -7 + 5 + (0 - -7). 16 Evaluate (12 - 54) + 12 + 5 + 1. -24 What is 28 - (-26 + 68) - -27? 13 Calculate (7 - (0 - 0)) + -8 + 10. 9 What is the value of 6 + 5 - (91 + -72)? -8 What is -1 - (-7 - (-1 - 7)) - 0? -2 What is the value of -2 + (-12 + 8 - -10) + -1 - -4? 7 Evaluate 15 - (24 - 16) - 3. 4 Calculate -1 + -23 - (-141 + 128). -11 Calculate (10 - 17 - 1) + 5 - 0. -3 What is (-13 - (-7 + 0)) + 7 - -8? 9 (-2 - -9) + (-12 - (-31 - -4 - -10)) 12 Calculate (20 - 3) + (-1 + 4 - 9). 11 What is the value of -4 + (-20 - -13 - -19) + (-2 - 5)? 1 What is 2 + (38 + -43 - (9 + -2))? -10 What is (4 - 12 - -5) + -7? -10 Calculate 4 - ((8 - 0) + -28) - (7 - 6). 23 What is 10 + -5 + 11 - 4? 12 What is the value of -3 - ((2 - 4) + (-2 - (15 + -14)))? 2 Calculate -7 - -8 - (-7 + (-1 + -5 - -6)). 8 What is the value of 2 + -5 - -4 - 9? -8 -6 + (13 - 3) - 6 - (-4 + -1) 3 0 - (17 + (20 - 23)) -14 Evaluate (1 - -14 - (165 - 146)) + 33. 29 What is 2 - (4 + (-1 + 3 - -7))? -11 Calculate 1 + (-6 - (1 + -6 - -8)). -8 Calculate -8 + (9 - (-5 + 35 + -11)). -18 Evaluate 1 - ((3 - -6) + -7) - 2. -3 Calculate -5 + (2 - -5) - -7. 9 (0 - 6) + (17 - 10) + -20 -19 What is the value of -17 - (-21 - -76) - -40? -32 5 + 1 + 25 + -22 + -13 -4 Calculate -49 + 61 - (7 + -3 - 8 - -9). 7 What is the value of -12 - -1 - (-11 - (-4 + 0)) - 5? -9 What is the value of 9 + (-12 - (-2 - 6))? 5 Calculate (16 - (8 - -29)) + 11. -10 Evaluate (-70 - -59) + (1 - -7) + -3. -6 Calculate -17 + (15 - 25) - -4. -23 What is 14 - ((-6 - -4) + -2 + -11 + 7)? 22 What is the value of (5 + 6 - 6) + (12 + -7 - -4)? 14 What is the value of -6 + (-3 - (-5 - -6)) + 10 + 5? 5 4 + (-37 + 35 - (-5 + 1 - -26)) -20 Evaluate 44 + -34 + 25 + -35. 0 Evaluate (-2 - 3) + 0 + -1 + (-146 - -174). 22 What is 8 + 3 + -13 + -11 + 0? -13 2 + -4 - (-1 + -1 - (151 - 150)) 1 (0 - (-15 - 1)) + (-4582 - -4549) -17 40 - ((142 - 47) + -39) -16 What is 6 + -18 + 4 - -16? 8 Calculate 12 + 1 + -1 + -10. 2 What is 15 - (16 + 28) - -15? -14 What is 1 + 0 - (-4 + -6 - -8 - 7)? 10 What is the value of 24 + -9 - 52 - -24? -13 What is -5 - (40 + -63) - 21? -3 What is -14 + (0 - (14 + -3 + -32))? 7 Calculate (-17 - -4) + 4 + 7 + -1. -3 Evaluate -62 + 39 - (-2 + (-1 - 4)). -16 Evaluate -10 + -7 + 21 - 21 - (3 - 1). -19 Evaluate 45 + -54 - (4 + -35 + 3). 19 6 - (-4 + -17 + 3 - -9 - -8) 7 (21 - 6) + -2 + -8 + 4 9 10 + -2 + (-2 - 8 - (-67 - -99)) -34 0 + -16 - (284 - 303) 3 Calculate -1 + (-18 - -3 - -15) + (-1 - -3). 1 -3 + 6 + 1 + -5 - 2 -3 What is the value of -10 + 11 + ((-22 - -3) + 0 - -4)? -14 10 + (4 - 11) + 5 8 What is the value of 1 - 13 - -7 - (-26 - -43)? -22 Evaluate 2 + 30 - (-10 + 32). 10 Evaluate 3 + 1 + 10 - 24. -10 What is the value of 11 + (-6 + 4 - ((-4 - -5) + -12))? 20 Calculate 0 + 1 + -5 + 4 + -1 + -6. -7 -1 + -14 + (-2 + -8 - -14) + -4 -15 9 - (1 + 2 + 10) - -16 12 Evaluate -24 - (24 + 15 - 72). 9 What is (1 - (4 + -18 + -10 + 19)) + -7? -1 What is the value of 1 + (-1 - 6) - (42 + -33)? -15 What is 14 - 5 - (17 - 14)? 6 What is the value of 9 - (1 - (16 - -8)) - 16? 16 What is the value of -5 + 5 - (-1 + -7 - (-5 + 12))? 15 What is the value of 9 + (-5 - (-19 + 35))? -12 What is the value of 13 + (-7 - (-15 - -17 - 10))? 14 53 + -57 - (2 - 9) 3 Evaluate (0 - -23) + -8 + 57 + -63. 9 (-8 - (19 + -12)) + 0 -15 (320 - 321) + -7 + -1 + 0 -9 34 + -12 + 5 - 21 6 Evaluate -3 + (-9 + 2 + 3 - -7). 0 Calculate -1 - -2 - 0 - (-1 + 8 - 18). 12 What is the value of (10 + 22 - 18) + -14? 0 Evaluate (-12 - 14) + -7 - -40. 7 What is the value of -2 + 14 + (-8 + -3 - -8)? 9 What is 3 + 2 + (-9 - 1) + -3 - 10? -18 (-39 - (11 + -30)) + 8 -12 1 + 5 + -1 + -1 - (-20 + 36) -12 Evaluate 2 + -10 + (7 + -5 - (18 - 42)). 18 What is -31 - -36 - (1 - -11)? -7 What is -18 + 1 + -685 + 708? 6 Evaluate 3 - -4 - 6 - (21 + 3) - 11. -34 Calculate 31 + -6 + (31 - 47). 9 What is the value of (46 - (-2 + 32)) + -26? -10 13 + (30 - (-2 + 47)) -2 What is 38 - -26 - 40 - 45? -21 Calculate (-2 + -1 + 6 - -18) + -376 + 366. 11 What is -5 - (-46 - 3) - (291 + -285)? 38 What is the value of (22 - 25) + (0 - -1) + -4? -6 Calculate -3 + 1 + 0 + (1 - 5) + 16. 10 Evaluate 27 - ((3 - -2) + 9). 13 (-3 - (25 + -35 - (0 + 4))) + -5 6 What is the value of 21 - (26 + -29 + 32)? -8 Evaluate (23 - -44 - 34) + -38. -5 What is -3 - (18 - (0 + (-14 - -21)))? -14 Calculate 3 + -2 + 0 + 23. 24 What is the value of (-19 - (10 - 21)) + (0 - 1)? -9 What is -1 + 11 + (29 + (2 - 19) - -2)? 24 What is the value of -71 + (-37 - -97) + (-11 - -2)? -20 What is the value of 14 - (33 - -14 - 19)? -14 -51 - -72 - (-2 - (7 + -3 + 1)) 28 -7 + 8 + (-3 - 5 - -5) -2 Evaluate 23 - 5 - (1 + 0 + 5). 12 -29 - (-8 + -4) - -24 7 What is the value of (-5 + 11 - (-3 - -14) - 29) + 11? -23 What is (218 - 202) + 1 + -7? 10 Calculate 7 - ((15 - 1) + -14). 7 What is -1 + -2 + (-2 - (-9 + -6)) + 4? 14 Calculate 0 + (5 - (-3 + 12)) - -19. 15 Evaluate -11 - (2 + 0 + 9 + -26). 4 What is (4 - 11) + (-24 - (-5 - 6))? -20 What is the value of -16 + (15 + 7 - 13)? -7 What is the value of (-1 - 3 - -12) + 5 + 3 + -20? -4 -19 + (-44 + 20 - (-8 + -5)) -30 8 + (-33 - -35 - -10 - (-13 - -2)) 31 Evaluate -14 + (19 - -9) - 0. 14 What is 9 + (-1 - 2 - 1) + (160 - 156)? 9 What is 0 + (-5 - 6) - (2 - 8)? -5 What is the value of -4 - (-9 + 1 + (-41 - -49) + 8)? -12 (2 - 5) + (-37 - -50) + -3 7 -6 - (-27 + -5 + (-7 - -14)) 19 Evaluate 42 + -67 + 3 + -4. -26 8 + 0 + (-3 - 5) + 5 + -26 -21 What is 32 + -1 + 3 + (74 - 81) - 1? 26 Calculate 30 + (1 + 3 - 7) + -177 + 171. 21 5 + -13 - (0 - 13) 5 Calculate 9 + 5 - 5 - 1 - (0 + 7). 1 What is -8 - (-4 + 1 + (131 - 127))? -9 6 - (-11 + 7 + -3 + 3) 10 What is the value of -6 + (22 - (14 + 18))? -16 Calculate (6 - -55) + -36 + (-2 - (2 - -4)). 17 Calculate -1964 + 1955 - (-27 + 0 - -1). 17 Evaluate 2 + 2 + 2 + (42 - 57). -9 Evaluate 4 + 26 + -95 + 46. -19 What is 21 - (16 + -41 + 74)? -28 -50 + 77 + -38 + 20 + -1 + -1 7 What is -3 + 5 + 9 + -4 + -3? 4 What is -45 + 14 - (-13 - -1)? -19 Calculate 46 + 43 + 24 + -79. 34 4 - 5 - (-13 - (5 + -10)) 7 What is 22 + (3 - (48 - 25))? 2 Calculate 14 + -24 + 2 + (6 - -1). -1 Evaluate -4 + -25 + 17 + 21 - (-1 - 1). 11 What is the value of 3 + 4 + -11 + 4 - (-2 - -2)? 0 (-4 - 5 - -8 - -17) + -6 10 Calculate 2 + -9 + -1 - (-22 - -9). 5 Evaluate 17 + (11 - ((-1 - -9) + 8)). 12 0 + (-17 + 9 - (2 + -2)) - -30 22 What is (14 - (1 + -2)) + (3 - 8)? 10 (-8 + 12 - -5) + -11 -2 What is (458 - 446) + 21 + -1? 32 What is (-10 + (-8 - -15) - (4 - 3)) + 9? 5 What is (-2 + -6 - (-8 + -8)) + 3? 11 1 + 8 + -6 + 14 17 43 + (-13 + 0 - 11) 19 -14 + -2 + 9 - (1 - -3) -11 Evaluate 5 + -14 + (-11 - (-25 - -5)). 0 Calculate 1 - (-5 - (10 - 8)). 8 Calculate 6 - (-12 + 6 - -5). 7 50 - (-7 - (-3 + -40) - 19) 33 What is (-48 - -80) + -1 + -32? -1 What is the value of -1 + 15 + -16 +
{ "pile_set_name": "DM Mathematics" }
alse Suppose 17 = -8*t - 7. Does t = -2/15? False Let g(m) = 2*m + 15. Let y be g(-7). Suppose h + 2 = -y. Which is bigger: -1 or h? -1 Let d = 37409 + -9165146/245. Let v = -1044 - -51154/49. Let r = v + d. Is 1 smaller than r? False Let t be -2 + (1 - 2 - -3). Suppose -h - 9 = -5*x, 2*x - 7*x + 2*h + 13 = t. Does x = 2? False Suppose 5 - 3 = 2*j. Suppose -b = -j + 6. Do b and -4 have the same value? False Let a be (100/(-12) + 7)*6/(-52). Let s(q) = q**3 - 3*q**2 + 2. Let z be s(2). Let h(p) = -p**3 - 3*p**2 - 3*p - 1. Let o be h(z). Which is greater: a or o? o Let w = -377/629 - -20/37. Which is smaller: w or 1? w Let q = 4 + -5. Let p(d) = -d - 6. Let c be p(-6). Let k be (-3)/(-39)*(1 - c). Is k >= q? True Suppose -3*q + 2*q - 4*u = 18, -12 = -4*q + 5*u. Let g(d) = -d**3 - 7*d**2 - 1 + 0*d**3 + 0. Let k be g(-7). Which is bigger: q or k? k Let y = -11/13 - -115/182. Which is greater: y or 0? 0 Let q be (-5)/3 - (-6)/(-18). Let x be (-7 - -9)*3/(-2). Which is smaller: x or q? x Suppose 2*b + 17 = 3*n - 2, 0 = b - 3*n + 2. Let t = 27 + b. Let r be (-1)/t*10/4. Which is smaller: r or 1/2? r Let a(s) = -s**3 + 5*s**2 - 2*s - 4. Let j be a(4). Let t = -6 + j. Suppose 0*w - 4*r + 16 = 4*w, -2*w + 4*r - 16 = 0. Which is smaller: t or w? t Suppose 3*t - 23 = -f, -5*t = 2*f - 3*t - 30. Suppose -1 - f = 4*w. Is -3 <= w? True Let d = 0.06 - -7.94. Let a = 7 + -3. Let m = a - d. Which is smaller: -0.1 or m? m Suppose g - 5*f + 140 = 0, 4*g = 7*g + 5*f + 520. Let w be 4/(-22) - 305/g. Is 1 equal to w? False Let i = 0.15 - -0.25. Suppose -5*n = 2*h + 5, -5*h - 37 = -4*n - 8. Which is smaller: i or n? i Let z = -45 - -31. Is -14 != z? False Let k = -12 + 14. Suppose -3 = 5*m + k. Which is bigger: m or 1/6? 1/6 Let k = 44 - 44.3. Are k and 2/5 unequal? True Let p(r) = r**2 + 2*r + 1. Let o be p(-1). Is o at least as big as 1/15? False Suppose -4 = -2*z + 4. Suppose z = y + 2. Suppose -y*a - 4 = 2*a. Are 0 and a equal? False Let s be (1/(-2))/((-2)/4). Let l be 4/5*65/26. Is l > s? True Let p = 20 + -15. Which is bigger: p or 4? p Let r = -10 - -7. Which is smaller: r or -2? r Let t = -2.2 + -8.8. Which is greater: 1 or t? 1 Let t(z) be the second derivative of z**4/12 - z**3/2 + z**2/2 + 2*z. Let f(l) be the first derivative of t(l). Let c be f(2). Which is smaller: c or 0? 0 Suppose -5*p + 2*p = 0. Let b = -2/319 + -1579/2552. Which is smaller: b or p? b Suppose -l + 2 = -3*l, -12 = 5*f + 2*l. Let q(c) = c**2 + 3*c + 1. Let h be q(f). Suppose 3*w + 2*w + 10 = 0. Is h smaller than w? False Let w(t) = t**2 + 14*t + 10. Let h be w(-11). Let q = 26 + h. Suppose 2*y + 16 = 6*y. Which is bigger: y or q? y Let z = -0.65 + 0.35. Do z and -2 have different values? True Let m = 8 - 15. Which is bigger: -9 or m? m Let n = 20 - 2. Suppose 0 = a + 3*i - n, -7*a + 35 = -2*a + 4*i. Let k = 10 + -7. Are k and a equal? True Let k = -0.38 - 0.02. Let m = -9.6 + k. Let p = m - -14. Which is bigger: -0.1 or p? p Let f(p) = p**3 - p**2 + p - 7. Let c be f(0). Let l(d) = -d**3 - 6*d**2 + 7*d + 7. Let v be l(c). Let j = v + -7. Which is smaller: -1/6 or j? -1/6 Let o = 15 - 4. Is o at least 11? True Let x = 17 - 18. Which is bigger: 2/13 or x? 2/13 Suppose -5 = -2*j + 5*t, j + 0*j - 3*t = 3. Let s(h) be the first derivative of h**2/2 - 1. Let z be s(0). Is z > j? False Let n be (0 + (-1)/(-1))*-1. Let f be 1 + 32/(-14) - n. Let j(b) = 2*b + 2. Let u be j(-1). Is f not equal to u? True Let d = -0.266 + 0.066. Let h = -0.1 - 0.1. Does d = h? True Let o be (-3 + 0)/(-9) - 1. Let l(q) = -q**2 - 5*q - 1. Let h be l(-5). Is o <= h? False Suppose 2 = -0*x + x. Suppose -x*p + 16 = -p + 3*f, 0 = -4*p + 4*f. Which is greater: 5 or p? 5 Let y be -5 + (0/1)/1. Let i(j) = -j**2 - 6*j - 7. Let n be i(y). Let u(g) = -g**2 - g + 1. Let a be u(1). Is n greater than a? False Let c = 9 - 4. Suppose -c*k = -3*k. Is -6 bigger than k? False Let r be (28/385)/((-28)/(-10)). Which is smaller: -1 or r? -1 Let a be 1 - 21 - (8 + -4). Which is bigger: -23 or a? -23 Suppose 0 = 2*s - 4, -3*x - 5*s + 328 = -252. Let h = x - 1708/9. Which is smaller: h or 2? h Let i(s) = -s**3 + 8*s**2 - 7*s + 6. Let h be i(7). Is h < 4? False Let s be 9/(-3) + (-2)/1 + 5. Is s at most -15? False Let k be 264/(-64) + 4/1. Is k less than or equal to 1? True Let r = 0 + -1. Let m = 38 + -273. Let u = m + 5407/23. Which is bigger: r or u? u Suppose -15 = 2*j - 7*j, 0 = -3*i + 5*j - 21. Is -5/6 <= i? False Suppose y = -3*y - 8. Let o = 1 - y. Is o at most 2? False Let o be 4/(-22) + (-16926)/(-43362). Let q = o + 1/73. Which is greater: 3 or q? 3 Let r(p) = -p**3 + 6*p**2 - 2*p + 2. Let i be r(5). Suppose 4*m + 0*x + i = -5*x, -18 = m + 4*x. Let s(t) = -2*t - 5. Let u be s(-4). Which is smaller: u or m? m Let g = 13 + 11. Suppose 5*s - 6 = -5*m + g, 0 = -s + 3*m - 10. Is 3 < s? False Let p = -12 + 15. Let k be ((-15)/9)/(p/(-9)). Is 4 < k? True Let h be (-10)/(-7)*21/27. Which is bigger: 0 or h? h Let h be 15/(-6)*-2 + -5. Which is smaller: h or 3/11? h Let q = -209/3 - -69. Suppose -2*a + 0*u - 2*u = 0, 5*a + u = 4. Which is bigger: a or q? a Let s be (-26)/(-6) - 1 - 2. Let a = 74/129 - -4/43. Which is smaller: s or a? a Let r be 2 - 6 - 2/((-6)/255). Is 81 smaller than r? False Let p(k) = -k + 7. Let g be p(6). Let w = 0 - 0.02. Is w <= g? True Let m = 2422675/30987 + -5/2817. Let v = m - 78. Is v smaller than 1? True Suppose 2*b = -0 + 2. Which is smaller: b or 3/16? 3/16 Suppose -7 - 3 = -n. Let u = n - 6. Suppose -3 + u = d. Which is smaller: d or 0? 0 Let r be (-7)/(-42) - (-1)/3. Let c = -6 - -11. Suppose -3*d - p - 1 = -0*p, -c*d = 3*p + 3. Do r and d have the same value? False Let k = 26 - 1. Which is smaller: 27 or k? k Let k be (4 - 176/28) + 1 + 1. Let s(l) = l - 2. Let p be s(2). Is k != p? True Let l(w) = -w**3 - 5*w**2 + 7*w + 6. Let b be l(-6). Let z = b + -2. Are z and 0 non-equal? True Suppose a + 3 = 5*o - 3, 30 = 5*o + 5*a. Suppose -5*d - 16 = b - o*b, -3*b = -d + 8. Is 1/2 greater than or equal to d? True Let q be -1 + 3 + 6/(-7). Which is smaller: 1 or q? 1 Let i be 2/(-12)*9/(-6). Which is bigger: i or 1? 1 Let y = 231 + -3925/17. Is y < -1? False Let k be -4*(1/(-66))/1. Suppose 2*g - 4 + 2 = 0. Which is bigger: k or g? g Let f be 2/(-3)*(-1)/2. Let v(y) = y**3 + 11*y**2 - 12*y - 8. Let w be v(-12). Let q = w + 8. Does q = f? False Let q = -7 - -8. Suppose 5 = 5*s - 2*j, 20 = 3*j + 5. Suppose s*z = 2*z - q. Is z smaller than 0? True Let t = 1.1 + -3.16. Let u = 0.06 + t. Which is bigger: u or 0.2? 0.2 Let b = -9 - -12. Let j = 0.8 + 0.2. Which is bigger: b or j? b Let p = 21.6 - 15.6. Is 13 equal to p? False Let s(a) = -a**2 + 11*a - 8. Let y be s(10). Let q be (-12)/80*y*-2. Is 1 at least q? True Suppose -4*t + 0*t - 4 = 0. Let q be (-656)/(-10) + (-6)/(-10). Let n = -66 + q. Is t less than n? True Suppose -11*b + 9*b = -72. Is b less than 36? False Let f be (-2)/3*(-6)/(-1). Let t = f + 14/3. Is 0 less than or equal to t? True Let t(o) = 7 - 2*o**3 + o**3 - 10 - 5*o**2 - 4*o. Let c be t(-4). Let m = 1 + c. Which is bigger: -1 or m? -1 Let u(a) = 11 + 8*a + 2*a**2 - a**2 - 3. Let f = -2 - 5. Let z be u(f). Is 2/5 < z? True Let u(n) = -n**2 + 3*n + 6. Suppose -4*k + 17 + 3 = 0. Let b be u(k). Let s = -36 + 34. Is s less than b? False Let i = 5 + -14. Suppose j - 2*s = -5*s - 15, 3*s - 9 = 3*j. Let h be (-5)/(0 - 3/j). Which is smaller: i or h? h Suppose g + 3*g = -32. Which is bigger: -7 or g? -7 Let a be -2 + (512/60)/4. Which is bigger: a or -1? a Suppose -15 = -h + 5*y, -5*h + 0*y - 9 = 3*y. Let i(r) = -3 - r**3 - 4 + 5 + 0 - r**2. Let p be i(-2). Are h and p nonequal? True Let v = 106 + -106. Which is smaller: v or 1/5? v Suppose -b + 72 = b - 5*v, 3*v = -2*b + 40. Suppose 1 = w - 5*u - b, 4*w = 3*u + 23. Let p be (4/9)/(w - 0). Is p less than 0.1? False Suppose 4*o - 3*p + 1 = -1, 0 = 3*o - p + 4. Which is smaller: o or 1/4? o Let i = 0.11 - 0.02. Let d = -0.91 - i. Which is bigger: 1/2 or d? 1/2 Suppose -a - n + 1 + 6 = 0, 4*n = 5*a + 1. Suppose -a*y - 6 = 0, -v - 5*y = 2*v + 16. Let c be (v - 0) + 2 - 0. Which is bigger: -1 or c? c Let q = -3 - -7. Let f = q + -6. Which is bigger: f or -3? f Let q be 1/(-3*(-2)/(-12)). Do -2 and q have the same value? True Let b be (1*3)/(24/(-128)). Let y
{ "pile_set_name": "DM Mathematics" }
ound -24099496 to the nearest 100000. -24100000 Round 817.189 to the nearest 100. 800 What is 657.7108 rounded to the nearest one hundred? 700 Round 1805.111 to the nearest 10. 1810 Round 8.6995861 to one decimal place. 8.7 What is -156788.31 rounded to the nearest ten thousand? -160000 What is 264866.7 rounded to the nearest ten thousand? 260000 What is 0.0000231219 rounded to seven decimal places? 0.0000231 What is 10838.618 rounded to the nearest one hundred? 10800 Round 0.000013197723 to six decimal places. 0.000013 What is 222506.53 rounded to the nearest 1000? 223000 What is 0.00000157591 rounded to 7 dps? 0.0000016 What is -56725 rounded to the nearest one hundred? -56700 What is 1835277 rounded to the nearest ten thousand? 1840000 Round -20534386 to the nearest 1000000. -21000000 Round 0.0015215076 to five decimal places. 0.00152 Round -64727.1 to the nearest one hundred. -64700 What is -984.7235 rounded to the nearest one hundred? -1000 What is 0.00002044399 rounded to seven decimal places? 0.0000204 Round 0.0001168686 to six dps. 0.000117 What is 0.00269533 rounded to four dps? 0.0027 What is 8569600 rounded to the nearest one hundred thousand? 8600000 Round -566684600 to the nearest one million. -567000000 Round 0.0000587264 to five decimal places. 0.00006 What is -0.00007303893 rounded to 5 dps? -0.00007 Round 0.00152243 to six decimal places. 0.001522 What is 0.3868046 rounded to four decimal places? 0.3868 What is -0.000004213262 rounded to 7 dps? -0.0000042 What is -35.9312 rounded to 1 dp? -35.9 What is 0.49894 rounded to three decimal places? 0.499 What is 16.70051 rounded to one decimal place? 16.7 What is 10.3898 rounded to the nearest integer? 10 Round -1220895 to the nearest 100000. -1200000 Round -0.0012834007 to 6 decimal places. -0.001283 What is -6.5711 rounded to the nearest ten? -10 What is 48258.17 rounded to the nearest 10000? 50000 What is -0.000004996704 rounded to 6 dps? -0.000005 What is -0.834578 rounded to one dp? -0.8 What is -0.0001741561 rounded to five dps? -0.00017 What is -31.6219 rounded to the nearest 10? -30 What is -41.6074 rounded to the nearest ten? -40 What is 0.0000001081837 rounded to seven dps? 0.0000001 What is -0.0027762282 rounded to six dps? -0.002776 What is -2.77648 rounded to two dps? -2.78 Round -15875250 to the nearest 10000. -15880000 Round 0.000430143 to 6 decimal places. 0.00043 What is 142.924 rounded to zero decimal places? 143 What is -9.1396 rounded to the nearest integer? -9 Round -0.003083833 to six decimal places. -0.003084 Round -203730 to the nearest 1000. -204000 What is -0.00032167744 rounded to five dps? -0.00032 Round 182871 to the nearest ten thousand. 180000 What is 191.6368 rounded to the nearest ten? 190 Round 0.000415851 to 5 dps. 0.00042 Round 0.18828265 to 3 decimal places. 0.188 What is -6006787 rounded to the nearest one hundred thousand? -6000000 What is -0.000688 rounded to 3 decimal places? -0.001 Round -2612.098 to the nearest one thousand. -3000 Round 0.003952086 to 4 dps. 0.004 Round -171.292 to the nearest integer. -171 Round 61.87421 to the nearest integer. 62 Round -177.3184 to the nearest integer. -177 What is 6147040 rounded to the nearest one million? 6000000 Round -351831 to the nearest one thousand. -352000 Round 9694153 to the nearest ten thousand. 9690000 What is -1106044 rounded to the nearest one thousand? -1106000 Round 0.001243954 to 5 dps. 0.00124 Round -9725770 to the nearest one million. -10000000 What is -3429983 rounded to the nearest 1000000? -3000000 Round 73355 to the nearest 100000. 100000 Round -2.87637 to the nearest integer. -3 What is 1971362.5 rounded to the nearest ten thousand? 1970000 What is 3.569955 rounded to 1 dp? 3.6 Round 6595.39 to the nearest 100. 6600 What is -0.0000191406 rounded to 7 decimal places? -0.0000191 Round 14.8374 to 1 dp. 14.8 What is -1.32124 rounded to three dps? -1.321 Round -0.0000013552116 to seven decimal places. -0.0000014 What is -0.0108876 rounded to 5 decimal places? -0.01089 Round 145817000 to the nearest one hundred thousand. 145800000 What is 489096600 rounded to the nearest one million? 489000000 What is 0.24263778 rounded to 3 decimal places? 0.243 Round -6.2023 to the nearest integer. -6 Round 895.893 to 0 decimal places. 896 What is 310428.79 rounded to the nearest 100? 310400 What is 905.668 rounded to the nearest 100? 900 What is 0.033193232 rounded to 2 decimal places? 0.03 What is -3.873797 rounded to one decimal place? -3.9 What is -0.002273172 rounded to four dps? -0.0023 Round -2.953621 to 3 dps. -2.954 What is 4730.049 rounded to the nearest 1000? 5000 What is 3.742216 rounded to 1 dp? 3.7 What is -0.00002640556 rounded to seven dps? -0.0000264 What is -0.000009135495 rounded to seven decimal places? -0.0000091 Round 1.2604239 to two decimal places. 1.26 What is 0.0000018666594 rounded to 7 decimal places? 0.0000019 Round -0.064772157 to four decimal places. -0.0648 Round 0.000005203902 to seven decimal places. 0.0000052 What is -34060.53 rounded to the nearest 100? -34100 What is 1272758300 rounded to the nearest one million? 1273000000 What is -43223.315 rounded to the nearest 10? -43220 Round -0.0811039 to three decimal places. -0.081 Round 699619800 to the nearest one hundred thousand. 699600000 What is 0.9313395 rounded to two dps? 0.93 Round -254676400 to the nearest one million. -255000000 Round -503.9913 to the nearest ten. -500 Round 0.289985 to 2 dps. 0.29 What is -6.4449 rounded to zero decimal places? -6 Round -1.34477 to 1 dp. -1.3 Round 0.0000480095 to seven decimal places. 0.000048 What is -113832.4 rounded to the nearest one hundred? -113800 Round -0.0243439 to three dps. -0.024 Round 8.102441 to one decimal place. 8.1 Round 1472128.8 to the nearest ten thousand. 1470000 What is 2068848 rounded to the nearest one thousand? 2069000 Round 25.9778 to zero dps. 26 Round 0.0000075053 to 6 dps. 0.000008 What is -54494.1 rounded to the nearest one hundred? -54500 Round 3637490 to the nearest 100000. 3600000 Round 0.00000093612 to six dps. 0.000001 Round 3.7979986 to two decimal places. 3.8 Round 3653710 to the nearest one hundred thousand. 3700000 What is -14.998796 rounded to two decimal places? -15 Round 834024.6 to the nearest one hundred thousand. 800000 Round 0.000093229 to seven dps. 0.0000932 Round 682.8334 to 1 dp. 682.8 What is 190470.42 rounded to the nearest one hundred? 190500 What is 0.000301535 rounded to 4 decimal places? 0.0003 What is -0.010013507 rounded to five dps? -0.01001 What is 0.056793423 rounded to two dps? 0.06 Round -2214310 to the nearest 1000000. -2000000 Round 0.13724991 to 4 decimal places. 0.1372 Round -20751070 to the nearest 10000. -20750000 Round 200223.7 to the nearest ten thousand. 200000 What is 54.1486 rounded to the nearest 10? 50 Round -41240630 to the nearest 100000. -41200000 Round 351.77 to the nearest integer. 352 Round 0.0000021856 to 7 decimal places. 0.0000022 What is -0.04184363 rounded to 3 dps? -0.042 Round -167116400 to the nearest 100000. -167100000 What is -995366 rounded to the nearest one thousand? -995000 Round 215.471 to the nearest 100. 200 What is 0.1361918 rounded to 4 dps? 0.1362 What is 154060.46 rounded to the nearest 10000? 150000 What is 1541.735 rounded to the nearest integer? 1542 Round 0.00000607423 to 6 decimal places. 0.000006 Round -0.386417 to three decimal places. -0.386 Round 504.29337 to the nearest 100. 500 What is 568.03665 rounded to 1 dp? 568 What is -0.6413687 rounded to 2 decimal places? -0.64 What is -0.00001157624 rounded to seven dps? -0.0000116 What is -778.6 rounded to the nearest 1000? -1000 Round 1305874 to the nearest 100000. 1300000 Round -11671080 to the nearest 1000000. -12000000 What is -25639.295 rounded to the nearest 10? -25640 Round -139.2983 to zero dps. -139 What is 0.0001560817 rounded to five dps? 0.00016 What is 0.0000051736 rounded to 5 decimal places? 0.00001 What is -12.659434 rounded to 1 dp? -12.7 What is -0.00080936 rounded to 6 dps? -0.000809 Round -0.00066070676 to 4 decimal places. -0.0007 Round -33155 to the nearest 100. -33200 Round -0.00683808 to four decimal places. -0.0068 Round 1454620 to the nearest 100000. 1500000 Round 90541 to the nearest 1000
{ "pile_set_name": "DM Mathematics" }
*2 - 7*t. What is the derivative of p(i) wrt i? 100*i Let a(u) = -u**2 - u - 26. Let n(s) = -130*s**2 + 7*s + 1087. Let g(y) = 6*a(y) + n(y). Find the first derivative of g(b) wrt b. -272*b + 1 Let i be (5 + 9 + -18)*1/(-2). What is the third derivative of 13*x**i + 2*x**3 + 19*x - 19*x - 56*x**3 wrt x? -324 Let v(h) be the second derivative of -1076*h**5/5 + 14*h**4/3 - h**3/3 - 5*h**2/2 - 4476*h. What is the third derivative of v(q) wrt q? -25824 Find the second derivative of 128 + 7866*h + 2054*h - 11381*h**2 - 128 + 1684*h wrt h. -22762 What is the third derivative of 1459*o**3 + 1474*o**2 - 9518*o**3 - 152*o**3 wrt o? -49266 Let k(o) be the third derivative of -o**6/60 + 187*o**5/60 - 197*o**3/2 - 2654*o**2. Differentiate k(h) with respect to h. -6*h**2 + 374*h Let y(c) = 12232*c**3 - 21*c**2 + 1193*c - 2. Let b(r) = 7*r**2. Let n(d) = -3*b(d) - y(d). What is the second derivative of n(v) wrt v? -73392*v Let v(m) = -19*m + 15. Let j(i) = -10*i + 8. Let k = 5 - 25. Let y = 14 + k. Let n(s) = y*v(s) + 13*j(s). What is the derivative of n(q) wrt q? -16 Let w(i) be the second derivative of -27*i**3 - 651*i**2 - 1468*i. Differentiate w(t) with respect to t. -162 Let c(f) be the third derivative of -19*f**7/210 + 23*f**5/60 + 1659*f**4/8 - 12618*f**2. What is the second derivative of c(g) wrt g? -228*g**2 + 46 Find the second derivative of -33 - 5*w - 819*w**2 - 14*w + w + 14*w wrt w. -1638 Let g(b) be the third derivative of 20*b**3 + 47/6*b**4 + 0*b + 0 - 87*b**2. Differentiate g(h) wrt h. 188 Let j(z) be the first derivative of 45 + 31/2*z**4 + 27/2*z**2 - 1/3*z**3 + 0*z. Find the second derivative of j(q) wrt q. 372*q - 2 Suppose 16*v + 7*v = 2760. Find the second derivative of -4*p**2 - 8*p**4 - 4*p**4 + v*p - 12*p**4 + 169*p + 6*p**4 wrt p. -216*p**2 - 8 Let s(p) = -16*p**2 + 6*p + 2. Let x(j) = 17*j**2 - 5*j - 1. Let m = -25 - -23. Let r(g) = m*s(g) - 3*x(g). Find the second derivative of r(q) wrt q. -38 Let t(r) = -1. Let x(d) = -6 - 8 - 3 - 32*d - 7. Let s = -42 - -40. Let y(o) = s*t(o) - x(o). Find the first derivative of y(v) wrt v. 32 What is the third derivative of -6*l**5 - 1392*l**2 - 2274*l**2 - 2*l**5 + 85*l**3 + 0*l**4 + 0*l**4 wrt l? -480*l**2 + 510 Differentiate c + 427 - 100*c**2 - 200*c**2 - 72*c**2 with respect to c. -744*c + 1 Suppose -227*q + 224*q = 3. Let w be q - (-9 - 0)/3. What is the second derivative of 44*d**2 - 31*d**2 - w + 2 - 20*d wrt d? 26 Let m(j) be the first derivative of -16*j**4 + 10*j**3/3 + 6*j**2 - 7*j + 9610. Find the second derivative of m(u) wrt u. -384*u + 20 Let q(x) be the second derivative of 59*x**7/42 + x**6/30 + 3*x**5/10 + 277*x**4/4 + x**2/2 - 4839*x. Find the third derivative of q(r) wrt r. 3540*r**2 + 24*r + 36 Let j = -2137 + 4012. Suppose -j = -2*w - w. Find the third derivative of 2*g**6 + 8*g**2 + 3*g**2 - 625*g**4 + w*g**4 wrt g. 240*g**3 Let i(h) = -h**3 - 5*h**2 - 640*h + 3. Let y(f) = -f**3 + 5*f**2 + 639*f - 2. Let z(v) = -2*i(v) - 3*y(v). What is the second derivative of z(j) wrt j? 30*j - 10 Let j(h) = 85*h**2 - 13*h + 33. Let k be j(3). Differentiate k + 42*w**4 - 991 + 27*w**4 with respect to w. 276*w**3 Differentiate -704 + 448*s**4 + 442*s**4 - 720 + 846*s**4 wrt s. 6944*s**3 What is the third derivative of 163*t**2 - 295*t**2 + 123*t**3 + 252*t**3 - 366*t**2 wrt t? 2250 Let j(h) be the second derivative of -41*h**5/4 + 11*h**4/12 + 203*h**3/3 - h**2/2 - 6880*h. What is the second derivative of j(f) wrt f? -1230*f + 22 Let n(g) = -49*g - 33. Let f be n(-7). Find the first derivative of 47*s**3 - 100 - 109 + f wrt s. 141*s**2 Let i(m) = -m**2 - 8*m + 10. Let d be i(4). Let o = d + 48. Find the first derivative of o - 1332*q + 1332*q - 5*q**3 wrt q. -15*q**2 Let n = -495 - -669. What is the third derivative of 26*a - n*a**5 + 44*a**2 - 26*a - 148*a**2 - 47*a**2 wrt a? -10440*a**2 Suppose -2*p - 3 = -i, 4*p - 6 = i - 9. What is the second derivative of 2*w**i - 134*w**5 - 133*w**5 - 3 + 208*w**5 - 3*w wrt w? -1180*w**3 + 12*w Let r(h) be the first derivative of 0*h + 35 - 77/3*h**3 - 237/2*h**2. Find the second derivative of r(w) wrt w. -154 Let h(o) = -942*o**3 - 2*o**2 - 965*o - 2. Let q(l) = -1890*l**3 - 5*l**2 - 1930*l - 5. Let c(z) = 5*h(z) - 2*q(z). What is the second derivative of c(u) wrt u? -5580*u Suppose 0 = -11*l - 8*l + 4389. What is the third derivative of 3*j - l + 117 + 10*j**4 + 114 + 3*j**2 wrt j? 240*j Let q(t) be the third derivative of 0*t**4 + 0*t**3 + 71/60*t**5 - 97*t**2 - 1/3*t**6 + 0 + 0*t. What is the third derivative of q(p) wrt p? -240 Let u(h) be the second derivative of -2289*h**5/20 - h**3/6 - 9151*h**2/2 + 11206*h. What is the first derivative of u(j) wrt j? -6867*j**2 - 1 Let m(q) be the first derivative of -3*q**4 + 1/3*q**3 + q + 41 - 2*q**2. What is the second derivative of m(o) wrt o? -72*o + 2 Suppose -12*m = -600 - 96. Find the first derivative of m*l**4 - 43 + 37 + 107 + 7 + 53 wrt l. 232*l**3 Let r(h) be the third derivative of -1535*h**8/336 - 5*h**4/4 + 25*h**3/6 - 787*h**2. What is the second derivative of r(v) wrt v? -30700*v**3 Suppose 8 = 2*q - 2*j, -3*q + 2*j + 5 = -7. What is the third derivative of 17*o**2 - 971*o**4 + 971*o**q + 118*o**6 wrt o? 14160*o**3 What is the third derivative of -44*b**5 + 2538*b**3 + 9 - 2*b**2 - 6*b - b**4 + 121 - 2514*b**3 wrt b? -2640*b**2 - 24*b + 144 Find the third derivative of -2*z**2 - 29*z**4 - 7*z + 4465*z**5 - 5518*z**5 + 29*z**4 - z wrt z. -63180*z**2 Let n = 39 - 21. Let d be (2 - (-178)/9) + 4/n. Differentiate -19 + q**2 + 7*q**2 - d*q**2 - 15*q**2 wrt q. -58*q Let c(y) be the second derivative of 435*y**3/2 + 875*y**2 + 1553*y. Find the first derivative of c(x) wrt x. 1305 Find the first derivative of 34 + 99 - 398421*c + 395905*c wrt c. -2516 Let d(z) be the third derivative of 2311*z**7/105 - 121*z**5/60 - z**2 - 2*z + 10. What is the third derivative of d(j) wrt j? 110928*j Let s(y) = -4711*y**2 + 9*y + 604. Let v(i) = 1177*i**2 - 2*i - 150. Let z(x) = 2*s(x) + 9*v(x). What is the first derivative of z(w) wrt w? 2342*w Let u(j) = j**2 + j + 1. Let c(z) be the second derivative of z**4/6 + 3*z**3/2 + 2*z + 23. Let s(y) = -c(y) - u(y). Differentiate s(l) wrt l. -6*l - 10 Suppose -12 = 36*l - 40*l. Suppose l + 9 = o + 3*x, 0 = -5*o - 5*x + 40. What is the third derivative of 5*v**o - 8*v**3 - 6*v**3 + 14*v**3 + 10*v**2 wrt v? 600*v**3 Suppose -11*d + 14*d - 6 = 0. What is the second derivative of -3*i**3 + 38*i**d + 3*i - 5*i**3 + 5*i**3 + 14*i wrt i? -18*i + 76 Let m(q) be the second derivative of -8*q**7/21 + q**6/15 - 659*q**4/4 - 664*q - 1. What is the third derivative of m(h) wrt h? -960*h**2 + 48*h Let t(p) be the first derivative of -18*p**3 - 13*p**3 + 32*p**2 - 57 - 39 + 29*p**2 - 105. Find the second derivative of t(d) wrt d. -186 Suppose -47*k - 21 = -54*k. Find the first derivative of 282*h**3 - 54 - 98*h**k - 72 + 3 + 5 wrt h. 552*h**2 Let s(l) = -l**3 + 23*l**2 - 26*l + 88. Let x be s(22). Find the third derivative of 13*d**2 + 23*d**5 + 3*d**4 - 36*d**5 + x*d - d - d**4 wrt d. -780*d**2 + 48*d Let q be 10 + -3 + -2 + 5. Find the second derivative of 34*g - 5*g - 102*g**4 + 104*g**4 + q*g**2 wrt g. 24*g**2 + 20 Find the third derivative of -1270*q**2 - 52*q**3 + 120*q**3 - 94*q**3 wrt q. -156 Let z(o) be the third derivative of -19*o**9/72 + o**7/70 - 23*o**5/5 + 1154*o**2. What is the third derivative of z(x) wrt x? -15960*x**3 + 72*x Let g(o) = -253*o - 173. Let w(z) = -6*z. Let x(a) = 3*g(a) - 6*w(a). What is the derivative of x(h) wrt h? -723 Let z(j) be the first derivative of 24*j**5/5 - 55*j**3/3 + 36*j**2 - 6*j + 6877. What is the second derivative of z(c) wrt c? 288*c**2 - 110 Let y(q) be the second derivative of -q**7/21 - 163*q**6/15 + 3911*q**3/6 - 336*q. Find the second derivative of y(x) wrt x. -40*x**3 - 3912*x**2 Let r(m) = 11*m + 20. Let d be r(-1). What is the second derivative of -12*q - 6 + 12*q**2 + 190*q**4 - 3*q**2 - d*q**2 wrt q? 2280*q**2 Find the second derivative of 1712*q**4 - 3425*q**4 + 1850*q - 850*q**5 + 1713*q**4 wrt q. -17000*q**3 Find the third derivative of -203*u**4 - 187*u**4 + 921*u**2 - 320*u**4 + 563*u**2 + 765*u**2 wrt u. -17040*u Let o = -898 - -901. Find the third derivative of 8584*t**3 + 20*t**2 - 8545*t**o - 98*t**2 w
{ "pile_set_name": "DM Mathematics" }
second derivative of -16*f**s - 17*f**4 + 15*f**5 + 6*f + 33*f**4 wrt f. 300*f**3 Let m(i) be the second derivative of i**8/1120 - i**6/80 - i**4/12 + 6*i. Let b(r) be the third derivative of m(r). Find the second derivative of b(t) wrt t. 36*t What is the first derivative of -621*v**3 + 218*v**3 + 122 + 193 wrt v? -1209*v**2 Let p(c) = -123*c**4 - c**3 - 6*c**2 - c - 1. Let l(k) = -k**3 - k**2 - k - 2. Let u(s) = -l(s) + p(s). What is the third derivative of u(h) wrt h? -2952*h Differentiate -130*f**3 - 22 + 55 + 20*f**3 + 42 with respect to f. -330*f**2 Let n be (1/3)/(8/144). Suppose -c = c - n. What is the second derivative of 2*b**5 + 2*b**5 - c*b + 0*b + b**5 wrt b? 100*b**3 Differentiate g**2 - 16 - 230*g**3 - 97*g**3 - 102 wrt g. -981*g**2 + 2*g Suppose 4*i + 1 + 11 = 0, 2*f = -3*i - 1. Find the third derivative of -7*c**2 - 25*c - 19*c + f*c**3 + 44*c wrt c. 24 Let r(w) = w - 1. Let t(n) = 33*n - 6. Let b be (-21)/35 - (-69)/15. Let s(x) = b*r(x) - t(x). Differentiate s(c) with respect to c. -29 Let v be 3/21*(-56)/(-16). Let t(x) be the first derivative of v*x**4 - x + 0*x**3 + 6 + 0*x**2. What is the first derivative of t(p) wrt p? 6*p**2 Let g(b) be the second derivative of -8*b**7/21 + b**5/20 + 235*b**3/6 + 325*b. What is the second derivative of g(x) wrt x? -320*x**3 + 6*x Let y(u) be the second derivative of -7*u**2/2 - u. Let s(k) = -17 - 23 + k**2 + 11. Let c(w) = 4*s(w) - 18*y(w). Find the first derivative of c(a) wrt a. 8*a Let u(q) = -18*q**2 - 17*q + 265. Let t(n) = -6*n**2 - 6*n + 89. Let z(j) = 11*t(j) - 4*u(j). What is the derivative of z(b) wrt b? 12*b + 2 Let c(g) = -2*g**3 + 4*g - 31 + 34 + 5*g**2 + 3*g**3. Let p be c(-4). What is the third derivative of 2*n**5 + p*n**5 + 6*n**2 - 10*n**5 wrt n? -300*n**2 Let a = 35 + -24. Let v = -7 + a. Find the third derivative of -p**6 - 2*p**2 - v*p**2 + 5*p**2 - 4*p**2 wrt p. -120*p**3 Let i(l) = -152*l**4 + 11*l**3 + 11*l**2 + 177. Let c(n) = -51*n**4 + 4*n**3 + 4*n**2 + 59. Let t(j) = 11*c(j) - 4*i(j). Differentiate t(q) with respect to q. 188*q**3 Let y(i) = -7*i**5 - 165*i**3 - 26*i**2 + 5*i - 8. Let s(n) = n**5 - 2*n**3 - n + 1. Let m(r) = -5*s(r) - y(r). Find the third derivative of m(l) wrt l. 120*l**2 + 1050 Let s(i) be the third derivative of -5*i**2 - 1/120*i**6 + 1/10*i**5 - 2*i + 0*i**4 + 8/3*i**3 + 0. Find the first derivative of s(m) wrt m. -3*m**2 + 12*m Let s be 2/(-5) - -2*102/60. Find the third derivative of -7*o + 11*o - 51*o**5 + s*o**2 + 9*o - o wrt o. -3060*o**2 Let s(r) = -53*r**4 - 5*r**3 - 50*r**2 - 5. Let t(d) = 2*d**4 - d**3 - 1. Let c(o) = -s(o) + 5*t(o). Find the third derivative of c(j) wrt j. 1512*j Let d(h) be the third derivative of -2*h**7/3 - 119*h**3/2 + 45*h**2 + 4*h. What is the derivative of d(z) wrt z? -560*z**3 Let n(y) be the third derivative of -267*y**4/8 - 271*y**3/2 - 422*y**2. Find the first derivative of n(d) wrt d. -801 Find the first derivative of -43*l**2 + 65*l**3 + 123 - 48*l**2 + 144*l**2 - 53*l**2 wrt l. 195*l**2 Let t be (-363)/(-22)*2/3. What is the third derivative of 2*a**2 - a**2 + 14*a**4 - 7*a**2 - t*a**2 wrt a? 336*a Let l(n) be the second derivative of -n**4/12 - 7*n**3/2 - 25*n**2 - 129*n. What is the derivative of l(q) wrt q? -2*q - 21 What is the third derivative of -8*p**2 + 220*p**2 + 462*p**2 - 330*p**3 - 229*p**3 wrt p? -3354 What is the derivative of -9*f**4 + 63*f**4 + 2*f**2 - 574 + 82*f**4 wrt f? 544*f**3 + 4*f Let i(t) be the second derivative of 7/4*t**4 + 0 - 25/2*t**2 + 30*t + 0*t**3. What is the first derivative of i(g) wrt g? 42*g Let b(f) be the second derivative of -f**6/40 + 22*f**3/3 + 7*f**2/2 - 5*f. Let q(d) be the first derivative of b(d). What is the derivative of q(u) wrt u? -9*u**2 Suppose 3*u = 2*x + 3*x + 3, 3*u - 3 = 2*x. Suppose u = -o + 4. Find the third derivative of 4*j**2 + 4*j**5 + 4*j**5 - 8*j**3 + 8*j**o wrt j. 480*j**2 Let p be 2/(7/((-42)/(-4))). Find the first derivative of 4*z**4 - p*z**4 + 0 - 10*z**4 - 5 wrt z. -36*z**3 What is the first derivative of 56*w - w - 54 - 50 wrt w? 55 Let h(s) be the third derivative of s**7/3 + 25*s**3/3 + 13*s**2 + 2. What is the derivative of h(o) wrt o? 280*o**3 Let x(a) be the third derivative of -5/24*a**6 - 5*a**2 - 1/20*a**5 + 0*a**3 + 0*a**4 + 0 + 0*a. What is the third derivative of x(j) wrt j? -150 Let i = 95 - 93. Find the third derivative of -6*z - 19*z**2 + z**3 + i*z + 4*z wrt z. 6 Suppose -16*h = -15*h. What is the second derivative of h*b - 4*b**5 - 11*b**5 + 11*b - b wrt b? -300*b**3 Let t(d) = -d + 12. Let w(k) = 1. Suppose 4*j = -u - 3 + 9, 45 = 3*u + 3*j. Suppose u = -4*o + 5*o. Let a(s) = o*w(s) - 2*t(s). Differentiate a(n) wrt n. 2 Find the third derivative of -3*g**3 - 2*g + 32 - 32 + 3*g**4 - g - 12*g**2 wrt g. 72*g - 18 Let j = -95 - -99. Find the second derivative of -27*o + j*o**3 - 16*o**3 + 56*o wrt o. -72*o Find the second derivative of 318*f**4 - 54*f + 130*f - 313*f**4 - f**5 wrt f. -20*f**3 + 60*f**2 Find the third derivative of -837*r**3 - 25*r + 25*r + 1022*r**3 - 72*r**2 wrt r. 1110 Let s = -10 - -12. Let n be -1 - (s - 19) - -1. Find the third derivative of -8*v**2 - 30*v**6 + 14*v**6 + n*v**6 wrt v. 120*v**3 Let l(s) = s**3 + 7*s**2 - 10*s - 12. Let q be l(-8). Suppose q*a = 22 + 6. What is the first derivative of 2*u**3 + 0 + 5 - a*u**3 wrt u? -15*u**2 Let x(o) be the third derivative of 77*o**6/60 - o**5/60 - 25*o**2 + 5*o. What is the third derivative of x(k) wrt k? 924 Let b(i) be the first derivative of 64*i**2 + 131*i - 448. Differentiate b(u) wrt u. 128 Let b be 5*4/((-3)/(9/(-30))). Find the second derivative of 9*y**b + 8*y + 10*y + 6*y - y wrt y. 18 Let v(a) = 162*a**3 - 10*a - 17. Let g(f) = -81*f**3 + 4*f + 8. Let d(z) = -13*g(z) - 6*v(z). What is the second derivative of d(o) wrt o? 486*o Find the third derivative of -210*a**2 - 898*a - 59*a**3 + 898*a wrt a. -354 Let y(x) = x**3 - 10*x**2 + 9*x + 2. Let k be y(9). Find the third derivative of -46*j**6 + 2*j + 35*j**6 + 8*j**k - 2*j wrt j. -1320*j**3 Let h(j) = -j**2 - 10*j - 20. Let o be h(-6). What is the derivative of 4*d**o - 1 + 9 - 7 + 4 wrt d? 16*d**3 Let p = 43 - 41. What is the third derivative of -31*h**p + 2*h - 40*h**6 - 2*h + 36*h**6 wrt h? -480*h**3 Let q(u) be the third derivative of 5/48*u**8 + 0 + 0*u + 0*u**4 + 0*u**6 + 25*u**2 - 19/60*u**5 + 0*u**7 + 0*u**3. Find the third derivative of q(g) wrt g. 2100*g**2 Let n(i) be the second derivative of -96*i**6/5 + 116*i**2 - i + 238. Differentiate n(u) wrt u. -2304*u**3 Let s(p) be the first derivative of -4 + 23/4*p**4 - 7*p**3 + 0*p**2 + 0*p. What is the third derivative of s(c) wrt c? 138 Let y(s) = 105*s**4 - s**3 - 159*s + 2. Let k(b) = 211*b**4 - 3*b**3 - 315*b + 5. Let i(w) = 2*k(w) - 5*y(w). What is the second derivative of i(l) wrt l? -1236*l**2 - 6*l Differentiate -3182808*l - 35*l**2 + 3182808*l - 344 wrt l. -70*l Let d(w) be the second derivative of -w**7/30 - 8*w**3/3 + 31*w**2/2 - 23*w. Let h(l) be the first derivative of d(l). Find the first derivative of h(z) wrt z. -28*z**3 Let m(d) be the first derivative of 5*d**4/6 + 17*d**2/2 - 10*d - 33. Let k(b) be the first derivative of m(b). What is the derivative of k(z) wrt z? 20*z Let q(d) = -d - 17. Let f be q(-19). Suppose 4*x = 3*l + 22, -5*l - 42 = -5*x - 12. What is the derivative of -5 - f + 4 - x*t wrt t? -4 Let d(w) be the third derivative of 211*w**7/70 + 3*w**5/5 + w**4/8 + 210*w**2. Find the third derivative of d(i) wrt i. 15192*i Let x(m) be the second derivative of 0*m**5 + 8/21*m**7 + 0*m**6 + 0*m**2 + 0 + 0*m**3 + 3/2*m**4 - 40*m. What is the third derivative of x(w) wrt w? 960*w**2 Let h(x) be the second derivative of 12*x**5 + 283*x**2 - 417*x + 2. Differentiate h(u) with respect to u. 720*u**2 Let q be (4/(-8))/(1/14). Let o = -3 - q. What is the derivative of 5 - 4*s**o + 2 - 4 wrt s? -16*s**3 Let g be 2*22/20*(-4)/(-11). Let w(d) be the first derivative of -8 + 0*d**3 - 3*d**2 + 0*d**4 + 0*d + g*d**5. What is the second derivative of w(t) wrt t? 48*t**2 Find the first derivative of -30*v**2 - 3*v**2 + 22 - 41*v**2 - 23*v**2 wrt v. -194*v Let n = -4 + 9. Let o(b) = -12*b**3 - 5*b**2 + 2*b. Let y(t) = -12*t**3 - 6*t**2 + 2*t. Let v(d) = n*y(d) - 6*o(d). Find the second derivative of v(q) wrt q.
{ "pile_set_name": "DM Mathematics" }
culate the greatest common factor of 410 and 20. 10 What is the greatest common factor of 20 and 680? 20 What is the greatest common divisor of 3705 and 1755? 195 What is the highest common divisor of 11 and 913? 11 What is the greatest common factor of 6 and 2? 2 Calculate the highest common divisor of 45713 and 51. 17 Calculate the highest common factor of 78 and 7969. 13 What is the highest common factor of 78 and 2886? 78 What is the highest common divisor of 48216 and 8? 8 Calculate the highest common factor of 429 and 234. 39 What is the highest common factor of 1902 and 6? 6 What is the highest common factor of 833 and 98? 49 Calculate the greatest common factor of 4292 and 667. 29 Calculate the highest common divisor of 973 and 556. 139 What is the highest common divisor of 16 and 344? 8 Calculate the highest common divisor of 705 and 75. 15 Calculate the greatest common divisor of 842 and 6. 2 Calculate the greatest common divisor of 273 and 13. 13 What is the greatest common divisor of 5 and 9? 1 Calculate the highest common factor of 221 and 26. 13 What is the greatest common factor of 36 and 1026? 18 Calculate the highest common divisor of 32 and 640. 32 Calculate the greatest common divisor of 88 and 32. 8 What is the greatest common factor of 1183 and 91? 91 Calculate the greatest common divisor of 12 and 160. 4 Calculate the greatest common divisor of 42 and 224. 14 What is the greatest common divisor of 12 and 129? 3 Calculate the greatest common factor of 116 and 1363. 29 What is the greatest common factor of 591 and 3? 3 What is the highest common divisor of 224 and 352? 32 What is the highest common factor of 264 and 48? 24 What is the greatest common factor of 118 and 10? 2 Calculate the greatest common factor of 224 and 7. 7 Calculate the highest common divisor of 10 and 16210. 10 What is the highest common factor of 2 and 50? 2 What is the greatest common divisor of 123 and 1189? 41 Calculate the greatest common divisor of 10 and 52. 2 What is the highest common divisor of 5352 and 216? 24 What is the highest common divisor of 6 and 111? 3 Calculate the greatest common factor of 24 and 684. 12 What is the greatest common factor of 9 and 1746? 9 What is the greatest common factor of 60 and 12? 12 What is the highest common divisor of 304 and 57? 19 Calculate the greatest common factor of 467 and 2. 1 Calculate the greatest common factor of 40 and 360. 40 Calculate the highest common divisor of 22068 and 12. 12 What is the highest common divisor of 5 and 3? 1 Calculate the greatest common divisor of 164 and 76588. 164 What is the greatest common divisor of 7 and 4816? 7 What is the greatest common factor of 39 and 156? 39 Calculate the highest common factor of 33 and 297. 33 Calculate the greatest common factor of 3 and 141. 3 Calculate the highest common factor of 72 and 38952. 72 Calculate the highest common factor of 216 and 189. 27 What is the greatest common divisor of 986 and 116? 58 Calculate the greatest common factor of 891 and 44. 11 Calculate the greatest common factor of 15 and 3780. 15 Calculate the greatest common factor of 110 and 5126. 22 What is the highest common factor of 9 and 75? 3 Calculate the greatest common divisor of 22 and 99. 11 What is the highest common divisor of 84 and 224? 28 Calculate the greatest common divisor of 14 and 16261. 7 Calculate the greatest common divisor of 420 and 910. 70 Calculate the highest common factor of 2728 and 22. 22 What is the greatest common divisor of 473 and 22? 11 Calculate the greatest common factor of 33 and 1947. 33 What is the highest common factor of 164 and 1271? 41 Calculate the greatest common factor of 21 and 140. 7 Calculate the greatest common factor of 335 and 1809. 67 Calculate the greatest common factor of 3439 and 1629. 181 What is the greatest common divisor of 9288 and 216? 216 What is the highest common factor of 70 and 2030? 70 What is the highest common divisor of 9917 and 188? 47 What is the greatest common factor of 44 and 176? 44 What is the greatest common divisor of 1040 and 20? 20 Calculate the greatest common factor of 282 and 6298. 94 Calculate the highest common factor of 34 and 2737. 17 Calculate the greatest common divisor of 45 and 165. 15 Calculate the highest common factor of 120 and 2136. 24 What is the greatest common divisor of 520 and 2470? 130 Calculate the greatest common factor of 120 and 3270. 30 What is the highest common factor of 22 and 506? 22 Calculate the greatest common factor of 28 and 714. 14 What is the greatest common divisor of 5390 and 42? 14 What is the greatest common divisor of 826 and 4838? 118 What is the highest common divisor of 592 and 304? 16 What is the greatest common factor of 13416 and 129? 129 Calculate the greatest common divisor of 485 and 10. 5 What is the greatest common divisor of 4 and 58? 2 What is the highest common divisor of 1558 and 984? 82 Calculate the highest common factor of 116 and 17516. 116 What is the highest common divisor of 1 and 11? 1 What is the greatest common divisor of 29 and 1218? 29 Calculate the highest common divisor of 6 and 291. 3 What is the greatest common divisor of 360 and 160? 40 Calculate the greatest common factor of 96 and 564. 12 Calculate the highest common factor of 62 and 434. 62 Calculate the highest common factor of 9 and 1143. 9 Calculate the greatest common divisor of 418 and 152. 38 Calculate the greatest common factor of 88 and 1243. 11 Calculate the greatest common factor of 435 and 135. 15 What is the greatest common divisor of 550 and 40? 10 What is the greatest common factor of 216 and 6534? 54 What is the greatest common divisor of 21 and 90? 3 Calculate the greatest common divisor of 336 and 408. 24 Calculate the greatest common divisor of 1892 and 1804. 44 What is the greatest common factor of 18 and 1854? 18 Calculate the greatest common divisor of 24 and 3408. 24 Calculate the greatest common factor of 3417 and 102. 51 What is the greatest common divisor of 140 and 7? 7 Calculate the greatest common factor of 135 and 30. 15 What is the greatest common divisor of 415 and 40? 5 Calculate the highest common factor of 670 and 201. 67 Calculate the greatest common divisor of 5287 and 17. 17 What is the greatest common factor of 559 and 39? 13 What is the greatest common factor of 70 and 220? 10 What is the highest common divisor of 144 and 624? 48 Calculate the greatest common factor of 31 and 20491. 31 Calculate the greatest common factor of 18 and 84. 6 Calculate the greatest common divisor of 432 and 810. 54 Calculate the greatest common divisor of 2048 and 64. 64 Calculate the highest common divisor of 13 and 13. 13 Calculate the greatest common divisor of 42 and 574. 14 Calculate the greatest common factor of 530 and 20. 10 Calculate the highest common factor of 3915 and 58. 29 What is the highest common divisor of 125 and 115? 5 What is the highest common factor of 187 and 5423? 187 Calculate the greatest common divisor of 132 and 33. 33 Calculate the greatest common factor of 2629 and 717. 239 What is the greatest common factor of 242 and 88? 22 Calculate the greatest common divisor of 37 and 1369. 37 What is the greatest common divisor of 221 and 1037? 17 What is the highest common divisor of 19 and 19? 19 Calculate the greatest common factor of 40 and 2560. 40 Calculate the highest common factor of 2414 and 204. 34 Calculate the greatest common divisor of 4438 and 28. 14 What is the highest common divisor of 156 and 6162? 78 Calculate the greatest common factor of 15 and 6303. 3 Calculate the greatest common divisor of 485 and 5. 5 What is the greatest common factor of 1927 and 329? 47 Calculate the greatest common factor of 29 and 2349. 29 Calculate the greatest common factor of 12 and 39. 3 Calculate the highest common factor of 1079 and 299. 13 What is the highest common divisor of 225 and 45? 45 What is the highest common factor of 11 and 61974? 11 Calculate the highest common factor of 90 and 360. 90 Calculate the greatest common factor of 42 and 39228. 42 What is the greatest common factor of 7596 and 36? 36 Calculate the greatest common factor of 3577 and 7. 7 What is the highest common factor of 5505 and 15? 15 What i
{ "pile_set_name": "DM Mathematics" }
a**3 - 15*a**2 + 37*a - 9. Calculate the least common multiple of h(12) and 325. 975 Suppose s + 171 - 34 = 0. Calculate the common denominator of -14/47 and (s/(-33) + -1)/(6/(-9)). 517 Let m = -1527/866 - -1725787/70146. Let o = -1/162 + m. Calculate the common denominator of -29/3 and o. 6 Let k(y) = -8*y - 7*y - 15 + 17*y. Let v be k(10). Suppose 3*o = -t - v, -27 = -6*t + 5*t + 5*o. What is the smallest common multiple of t and 8? 56 Let j be (7 + -9)*26/(-4). Let p = -9 + j. Calculate the least common multiple of p and 10. 20 Find the common denominator of 23/11 and 6/(18/3) + (-75)/31. 341 Let s = 721/8 - 90. Find the common denominator of s and (-5)/(140/(-637))*-1*2. 8 Calculate the common denominator of 5/(-20) + (-1803)/(-240) + -6 and -87/32. 160 Let s(o) = o**3 - 5*o**2 + 2*o - 3. Let z = 22 - 22. Suppose 10*w - w - 36 = z. What is the lowest common multiple of w and s(5)? 28 Suppose 5 - 30 = -5*i. Suppose 0 = -4*q + 3*g + 27, -1 + 34 = 2*q + i*g. What is the lowest common multiple of q and 3? 9 Suppose 1856 = 208*a - 200*a. What is the least common multiple of a and 14? 1624 Let d = 32693/6072 - -82/253. Find the common denominator of 57/56 and d. 168 Let p be (3 - 35/10) + (-27)/(-6). Suppose -10 = -p*t - 2*l, 0 = -2*t + l - 1 - 0. Calculate the smallest common multiple of t and 1. 1 Calculate the smallest common multiple of 46 and (-90)/(-110) - (-2)/11. 46 Let r(b) = 2*b**2 + 9*b - 1. Let w be r(-5). Let x(n) = n**2 + n - 12. What is the smallest common multiple of 8 and x(w)? 8 Suppose -18 = -0*u - 3*u. Let j(i) = -i**2 + 64*i - 340. Calculate the lowest common multiple of j(6) and 21/u + 1/2. 8 Calculate the common denominator of (-698)/(-154) - 4/(-22) and (-5992)/(-35868) + (-2)/(-21). 427 Suppose 0*m - 10 = 3*m + 4*j, 4*m + 4 = -3*j. What is the smallest common multiple of 33 and m? 66 Let i = 30 + -20. Find the common denominator of ((-15)/9)/(3/i) and ((-71)/12)/(4/12). 36 Suppose -2*q + 14 = d, -d - q - 2*q = -16. Calculate the smallest common multiple of 44 and d. 220 Let d = 3122 - 49855/16. Calculate the common denominator of 11/20 and d. 80 Suppose -41 = 13*w - 15. Find the common denominator of 19/10 and 148/(-22) + (1 - 3)*w. 110 Suppose 522 = f + 352. Calculate the smallest common multiple of f and 10. 170 Let n be (0 + 9/6)*4. Let o be n*(-1 + 3/9). Find the common denominator of o/(36/(-69))*1 and 5/4. 12 Let j(b) = -5*b + 25. Let v be j(5). Suppose v = 6*x - 35 - 25. Calculate the lowest common multiple of 34 and x. 170 Suppose 4*x + 3 = 19. Let i be (-18)/(-2)*3/1. Calculate the least common multiple of x and 6/i - 248/(-18). 28 Suppose -27 - 88 = -5*a. Let l = -17117/6 + 2827. Let w = l + a. Find the common denominator of 9/8 and w. 24 Suppose -5*x - 4*c = -72, 4*x = -x - 2*c + 66. Calculate the lowest common multiple of x and 234. 468 Suppose -91*o = -420 - 1400. What is the lowest common multiple of o and 10? 20 Let c = 10878623/108 + -100729. What is the common denominator of 11/36 and c? 108 What is the common denominator of 4/(-30) - (-19019)/(-26220) and -103/36? 828 Find the common denominator of 29/100 and (3/(-55))/(-7 + 6587/945). 1100 What is the common denominator of 10/(-4)*26*6/120 and 2/(-3) + 104/6? 12 Let m = -10 + 19. Let f(r) = r**3 + 3*r**2 - 4*r + 2. Let a be f(-4). Calculate the lowest common multiple of ((-11)/2)/((-1)/a) and m. 99 Let k(w) = 96*w**2 + w - 1. Let f be k(1). What is the common denominator of (2 + 1)/(-1) + 33231/2508 and 1/(-3) + (-46)/f? 16 Let c be (-312)/(-18) + (-1)/3*-2. Calculate the common denominator of 76/9 and 2/(-2) - (-93)/c. 18 Let t = -6 + 238. Suppose 5*c = 3*c + 62. Find the common denominator of c and t/45 + (-4)/(-10). 9 Let w = -822 - -867. What is the lowest common multiple of 15 and w? 45 Let g be 105034*(-3)/3612*(-6)/111. Let v = g - 2/1591. What is the common denominator of 45/8 and v? 56 Let t = 6 - 3. Let a(o) = -3*o**2 + 8*o**3 - 3*o**3 - o**t. Calculate the lowest common multiple of a(2) and 4. 20 Suppose -3*h - 5 = p - 3, 3*p = 3*h - 6. Suppose -2*s = -2*j - 40, -96 = -5*s + 3*j - h*j. Calculate the smallest common multiple of s and 66. 198 Let f = 139/143 + 7723/5148. What is the common denominator of f and 179/360? 360 Suppose 0 = 8*u - 141504 + 441096. Let j = u + 2321761/62. What is the common denominator of j and -59/18? 558 What is the common denominator of -101/34 and -2 + 3 - (2024/(-187) - -10)? 34 Let f = -2744509/42 + 65342. Find the common denominator of -119/12 and f. 84 Calculate the common denominator of (-11)/2*(-42)/(-147) and -103/170. 1190 Let p(t) = 0*t + t**2 + 3*t + 2*t + t. Let y be p(-5). Find the common denominator of (-11)/(-4)*y/2 and 73/8. 8 Let s = 35958096 + -790909745/22. Let r = s + -7650. Find the common denominator of r and -151/6. 66 Let q(a) = 2*a**2 - 18*a - 8. Calculate the smallest common multiple of 168 and q(10). 168 Suppose l - 25 = -4. Let z = l - 10. What is the smallest common multiple of 14 and z? 154 Let s = -7591 - -75987/10. Calculate the common denominator of s and (9/2)/9*61. 10 Let t(k) = -5*k + 8. Let d be t(7). Let p be (-1)/1 + (-5 - d). What is the common denominator of (p/(-50))/(12/110) and -111/22? 220 Let h = -1/13 - 395/104. What is the common denominator of -97/18 and h? 72 Let x = -53869/22 + 2449. Let l be 1 - 1/((-24)/228950). Let i = l + -9546. Find the common denominator of i and x. 132 Let z = -3454 + 13885/4. Calculate the common denominator of z and 19/157. 628 Let b = 336 + -705/2. What is the common denominator of b and 1/115? 230 What is the lowest common multiple of 18/45 - 1965/(-25) and 5? 395 Let p = 384 + -373. Calculate the smallest common multiple of p and 60. 660 Let y(m) = -m**3 - 7*m**2 - 8*m - 2. Let z = 8 + -14. Let n = 163 + -157. Calculate the least common multiple of n and y(z). 30 Let g = -3/821 + 18982/27093. What is the common denominator of g and -19/33? 33 Let w = 28 + 7. Suppose -w = v - 6*v. What is the smallest common multiple of 23 and v? 161 Let u(p) = -p**3 - 22*p**2 - 34*p + 2. What is the lowest common multiple of 6 and u(-22)? 750 Let q = 3611/2 + -1851. Calculate the common denominator of 218/(-84)*(-1 + 4) and q. 14 Let k = -14903 + 298129/20. Find the common denominator of 97/(-23) - 80/(-32) and k. 460 Calculate the lowest common multiple of 4/30 + (-1786)/570 + 33 and (1/(-2))/(1/(-12)). 30 Let m(n) = 2*n - 12. Let q be m(6). Find the common denominator of -35/8 and (1 - q) + 161/98. 56 Let p = 6428 - 38447/6. What is the common denominator of -28/27 and p? 54 Let p(l) = l**2 - 4*l - 4. Let o be p(6). Suppose 24 = -6*u + 4*u - 5*w, 0 = -4*u - 5*w - 48. Calculate the common denominator of ((-8)/u - 2)*o and -9/11. 33 Suppose 42*s + 129*s - 2540 - 1222 = 0. What is the smallest common multiple of s and (0 - 4)/((-6)/93)? 682 Suppose 2*x + 1 - 7 = 0. Let s = 42 + -43. What is the least common multiple of x and (-2 - (-295)/30) + s/(-6)? 24 Let d = -21 + 37. Let p be 2/4*(11 - -11). Suppose 4*o - 75 = -p. Calculate the least common multiple of d and o. 16 Let s(q) be the second derivative of -q**5/20 - q**4/4 + q**2 + 6*q. Let f be s(-3). Let r = f - 0. Calculate the smallest common multiple of 6 and r. 6 Suppose 3*f - 10 = 5. Let c(s) = -s**3 + 6*s**2 + 2*s + 5. Let k be c(f). Suppose -6*q = -q - k. What is the least common multiple of q and 8? 8 What is the common denominator of 133/12 and (602/(-28))/((-82)/1)? 492 Suppose 0 = -4*y - 3*i + 134, 2*y - 2 = -i + 64. Calculate the lowest common multiple of 8 and y. 32 Find the common denominator of 23/2 and -264 - -252 - (-5647)/469. 938 Let j be (27/15)/(9/30). What is the lowest common multiple of 28 and (-110)/3*j/(-5)? 308 Let p = 31267/396 - 728/9. Find the common denominator of p and 76/33. 132 Suppose 140 = 34*t - 27*t. Calculate the smallest common multiple of 264 and t. 1320 What is the common denominator of (-10)/1375*2920/(-32) and 125/12? 660 Suppose 21 + 54 = 5*g. Let a = -2671/78 + 300/13. What is the common denominator of g and a? 6 Suppose 9*j = 4*j, 0 = -5*s - j - 10. What is the common denominator of ((-1238)/(-70) + 14/(-49))/s and 25/22? 110 Find the common denominator of -71/60 and ((-8)/(-792))/((-2)/4)*60. 660 Suppose -3*s + 34 = 2*u - u, 5*s - 70 = 5*u. What is
{ "pile_set_name": "DM Mathematics" }
g m is positive. m**(1668/77) Simplify (d/((d/(d**(-3/7)*d))/d))**47/(d**(-2/7)/d**21) assuming d is positive. d**(666/7) Simplify (m/((m*(m/(m*(m*m**(-17))/m*m))/m)/m))**(-17/2)/((m*(m/((m/m**(-7/3))/m))/m)/m)**(-14/5) assuming m is positive. m**(1687/15) Simplify ((f*f**(-11)*f)/(f*f**3*f*f*f))/((f/(f*f/f**(-14)*f))/(f/(f/(f*f/((f*f*f**(-19))/f)*f*f)))) assuming f is positive. f**22 Simplify ((p*(p**4/p*p)/p)/p**(6/7))**(2/35) assuming p is positive. p**(44/245) Simplify (((u/(u*u*u**5*u))/(u**(-5)*u))/((u/(u*u**9/u))/u**(2/21)))**21 assuming u is positive. u**107 Simplify (((i**(-2/7)*i)**(-19))**(1/24))**(18/7) assuming i is positive. i**(-285/196) Simplify ((x**(-2)*x**(2/3)/x)**(-32))**(-1/13) assuming x is positive. x**(-224/39) Simplify (l**(-2/5)/l)**(-23)/(l/((l/(l/(l/l**(-9))))/l))**(-34) assuming l is positive. l**(-1199/5) Simplify (g/g**(8/5)*g)**(-7)*g*g/g**(-2/19)*g/((g*g**(2/143))/g) assuming g is positive. g**(3957/13585) Simplify (w/w**(3/2)*w)**(-2/171)*(w**(-26)/w)/w*w**(-2/3) assuming w is positive. w**(-4903/171) Simplify t**(1/20)*t*t/t**(2/17)*t**(-5)*t/((t/t**(-19/4))/t) assuming t is positive. t**(-1159/170) Simplify b**5*b**8*b*((b/b**(-5)*b)/b)**(-1/5) assuming b is positive. b**(64/5) Simplify ((z/z**(-2/7))/(z*z**(1/13)*z))/(z**(-15)*(z*z/z**11)/z*z) assuming z is positive. z**(2112/91) Simplify ((v**(2/7))**(-7/10)*v*v/v**(-1/3)*v**5*v)**(31/5) assuming v is positive. v**(3782/75) Simplify ((s/((s*s*s**(-1))/s))**13/(s**(-2)/s)**(7/10))**(1/22) assuming s is positive. s**(151/220) Simplify ((d**(-2/3))**(2/39)/(d*d**(2/31)*d*d*d**(-7)))**(-2/13) assuming d is positive. d**(-28300/47151) Simplify ((((y/(y/(((y*y*y**(-3))/y)/y)))/y)/(y/y**(-3/8)))/(y**(2/3)/(y*y**0)))**(1/23) assuming y is positive. y**(-121/552) Simplify (x**(5/6)*x**5)**(-2/131) assuming x is positive. x**(-35/393) Simplify ((p/(p/p**(-12)))/p**(-1/22))/(p**16/p*p*p**(1/6)/p) assuming p is positive. p**(-895/33) Simplify ((((((n/((n**(-3/13)/n)/n))/n)/n)/n)/n)/n**(1/2))/(n**(-7/4)/(n/n**(2/7)*n)) assuming n is positive. n**(799/364) Simplify p**(-6/13)*p/(p/(((p/(p*p**(5/6))*p)/p)/p))*p/(p**(-6)*p)*p*p*p*p/((p*p**9)/p) assuming p is positive. p**(-101/78) Simplify (u**1)**(-47)/((u/(((u**(-2/29)*u)/u)/u))/u*u*u**(-24)) assuming u is positive. u**(-727/29) Simplify (((q*q**(1/11))/q)/q*q)**(-1/49)/(q**(1/11)*q**14) assuming q is positive. q**(-7596/539) Simplify ((a**28*a)/a*a)/(a*a**(-18/11))*a**35*a/(a**(-2/41)*a) assuming a is positive. a**(29173/451) Simplify (y*y/((y*y**(-22)*y)/y*y)*y*y*y**4)/((y**4*y)/y)**(2/3) assuming y is positive. y**(76/3) Simplify q**(-4/5)*q/q**0*q*(q**(5/4)*q)/q*q/q**(-7) assuming q is positive. q**(209/20) Simplify (i/(i*i**(1/9))*i)/i**4*(i**0)**(3/37) assuming i is positive. i**(-28/9) Simplify ((d**(-2)*d/d**(-5/2))/(d**(1/4))**(-2/29))**22 assuming d is positive. d**(968/29) Simplify (z**(-5/3)/z*z**(-7)*(z/(z**(2/3)/z))/z*z*z*z/(z/(z*z/(z/(z/(z/(z*z*z*(z*z*z**(3/8))/z))))*z)))**(-4/5) assuming z is positive. z**(23/30) Simplify (u/u**(-12))/u**9*(u**(-7)*u)/(u/(u/u**18*u*u)) assuming u is positive. u**(-18) Simplify (v*v**(-1))**(2/9)/(v**(-3/2)/(v/(v*v/v**(-3/2)))) assuming v is positive. 1/v Simplify ((m/m**1)**(4/11)*(m/(m/m**(-1/6))*m)/m*m*m**4*m)**(5/2) assuming m is positive. m**(175/12) Simplify v**(-16)/(v/v**(-7/3))*(v**(1/2))**(-15/4) assuming v is positive. v**(-509/24) Simplify u**(2/5)/u*u*u*u**(-2/17)*u*(u**9*u*u*u)**(-43/5) assuming u is positive. u**(-8578/85) Simplify (x*x**2)**(5/6)*(x/(x/(x*x**(1/14))))/(x/(x*x*x**(2/19))) assuming x is positive. x**(622/133) Simplify (f**(2/3)/f**(-13))/(f/(f**13*f)*f**(-13)) assuming f is positive. f**(119/3) Simplify ((k*k*k*k**(1/3)/k*k)**(-1/5)*k*k/(k/((k*k**0*k)/k))*k/(k*k**(1/3)/k*k*k)*k*k)**(1/53) assuming k is positive. k**(2/53) Simplify (k/((k/((k**(1/20)*k)/k))/k*k*k)*(k/(k*k**(-24)))/k*k)**(-1/2) assuming k is positive. k**(-461/40) Simplify ((s*(s/(s*s**(2/3)))/s*s)/s)**(-42/11)*s**(-10)*s**(-11) assuming s is positive. s**(-203/11) Simplify (k/((k/k**(2/9))/k)*k)**(-27)/(k**(-6/5)*k/k**1) assuming k is positive. k**(-294/5) Simplify ((f*f*f*((f*f**13)/f)/f*f*f*f*f/(f/((f**(-5/3)/f)/f)*f))/((f*f/(f**(-8/5)/f))/f**(-12)))**(-1/15) assuming f is positive. f**(49/225) Simplify (x/x**(-1/17))/(x*x**(1/6)*x*x)*x**(2/21)/(x*(x**17*x)/x) assuming x is positive. x**(-4763/238) Simplify (u**(1/10)*u)/(((u**(2/23)*u)/u)/u*u)*u**16*u/((u/u**18)/u) assuming u is positive. u**(8283/230) Simplify (i/(i/(i*i/i**(-1/4))))**(1/10)/(i/((((i/i**(1/6))/i)/i)/i)*i**4) assuming i is positive. i**(-833/120) Simplify ((s**(-15/7)*s)/s**(1/3))**(2/45) assuming s is positive. s**(-62/945) Simplify (t/t**(5/8))**(33/5)/(t**(-9/4)*t*t)**(28/9) assuming t is positive. t**(1171/360) Simplify (k**22*k**(-1/2))/(((k*k**(-3/5)*k)/k)/k*k/k**(5/4)*k) assuming k is positive. k**(427/20) Simplify (((m**6/m)/(m/((m/m**5)/m*m)))/(m**(-3/4)*m/(m*((m/m**3)/m)/m)))**41 assuming m is positive. m**(-533/4) Simplify (a**(2/11)/a**16)/((a/a**(1/39))/((((a*a**(-13))/a*a)/a)/a)) assuming a is positive. a**(-13210/429) Simplify (x/x**(2/21))**(-1/57)*(x**(-2))**(-19/3) assuming x is positive. x**(797/63) Simplify ((n**(-2/7))**24/((n*n**4)/((n/(n/n**(-2/11)*n))/n*n)))**(3/29) assuming n is positive. n**(-3012/2233) Simplify (((z/(z/(z**(4/7)/z))*z*z*z)/z*z)/(((z/z**20)/z)/z))/(((z*z/z**(1/5))/z*z)/z)**32 assuming z is positive. z**(-71/35) Simplify k**(-15)/k**(2/5)*(k**(-3/11)/k)**(-8/3) assuming k is positive. k**(-1981/165) Simplify (f**4)**(-4/25)*f/f**(3/13)*f*f*f**(-4/13) assuming f is positive. f**(592/325) Simplify (o**4*o**(9/4)/o)/((o**(-4)*o)/(((o/(o/(o**(-26)/o)))/o)/o*o)) assuming o is positive. o**(-79/4) Simplify (t*t**(-2))**50*t**14*t**(-7) assuming t is positive. t**(-43) Simplify (a**(-10)*a/a**(-5/2)*(a*a**(-2))**(-5/4))**(-28) assuming a is positive. a**147 Simplify (i**(5/2)*i*i/(i*i**16))/(i**(-6/5)/(i**(-10)/i)) assuming i is positive. i**(-223/10) Simplify (((y**15/y)/y)/y**(2/129))**(15/11) assuming y is positive. y**(8375/473) Simplify (((y**(-4)/y)/y)/y)**42/(y**(1/10)*y/(y/(y**11*y*y))*y) assuming y is positive. y**(-3081/10) Simplify v**(2/47)/(v*(v/(v/(v*v**(2/3)/v)))/v*v)*(v**23/v)/v*(v/v**(3/4))/v assuming v is positive. v**(10505/564) Simplify ((((c*c**(-2/3)*c)/c)/c)/(c/c**(-7))*(c/c**0)**(-16))**(1/75) assuming c is positive. c**(-74/225) Simplify (t**(-34)/t**(-7))/(t**(5/8)*t*t*t**(1/43)*t) assuming t is positive. t**(-10543/344) Simplify (x**(2/9))**(-25)/(x/x**(-1/7)*x**16*x) assuming x is positive. x**(-1493/63) Simplify (g**(2/5))**(5/6)/(g**0)**(-8/15) assuming g is positive. g**(1/3) Simplify (b*b**13)/(b*b**31)*(b**5/b)**24 assuming b is positive. b**78 Simplify (((x/(x*x/(((x*x*x**6*x)/x)/x)*x*x))/x)/((x/(x/(x**(1/8)/x)*x)*x)/x))/((x**0*x)/x*x)**(3/23) assuming x is positive. x**(873/184) Simplify (y**(1/2)/y*y)**38*y**(-5)*y*(y/(y**10*y))/y*y assuming y is positive. y**5 Simplify (z/z**(-7/5))**(-35)/(((z/(z/(z**20*z)))/z)/z**(1/8)) assuming z is positive. z**(-831/8) Simplify (b**(1/5))**(5/6)/(((b*(b*b**19)/b)/b)/b**(-12/11)) assuming b is positive. b**(-1315/66) Simplify (i*((i**(-30)/i)/i)/i*i)/i*i*i/(i*i**(-4/3))*i*(i**(3/13))**49 assuming i is positive. i**(-677/39) Simplify (x*x*x/(x*x**26)*x)/x**(3/4)*(x/(x**31*x)*x)/x*x*x**(3/19)*x assuming x is positive. x**(-3997/76) Simplify a/a**(2/17)*a/(a*a**(-1/7))*a**(-13)*a/(a*(((a/(a*a/(a*a*a**(4/5))))/a)/a)/a)*a assuming a is positive. a**(-5816/595) Simplify z**7*z*z*z*z/(((z**(1/30)/z)/z*z)/z)*z*z*z*((z*z*z**14)/z)/z*z**(-7)*z assuming z is positive. z**(719/30) Simplify (z**(-32/7)/(z*z**33))/(z*z*z*z/(z/(z*(z*z**(-19)*z)/z)))**(-18) assuming z is positive. z**(-2034/7) Simplify ((l*l**(7/2)*l**(-15))**30)**30 assuming l is positive. l**(-9450) Simplify (((y**3*y)/y)/y)**(-2/33)*(((y**(-3/4)/y)/y)/y)/y**(-3/8) assuming y is positive. y**(-923/264) Simplify ((x*x**(1/7)*x*x)/(((x/(x*x**(-2/101)*x*x*x))/x)/x*x))**12 assuming x is positive. x**(60432/707) Simplify ((h*h*h/(h*h**1)*h)**(-12)/(h**(-4)/(h*h**(2/7)/h)))**(-30) assuming h is positive. h**(4140/7) Simplify u**(-2)*u*u**(-8/3)*u*(u*u*u**4)**(4/27) assuming u is positive. u**(-16/9) Simplify (((w**4/w*w*w*w)**35)**49)**(-2/45) a
{ "pile_set_name": "DM Mathematics" }
66*m**3 - 837*m**3 - 681*m**3 + m**2 - 2*m**3 - m**2 + (2*m + 2*m - 3*m)*(3 - 3 - m**2). 245*m**3 Expand (0*r**4 + 0*r**4 + r**4)*((-4 - 2 + 4)*(-1 + 2 - 3)*(r - r - 4*r) - 5*r + 0*r + 4*r). -17*r**5 Expand (21 + 2 + 5)*(3*o + o - 2*o)*(-o**2 + 4*o**4 + o**2). 224*o**5 Expand (-c + 0*c + 0*c)*(1 - 1 - 34*c) + (-2*c - 2*c**2 + 2*c)*(-1 + 2 + 0). 32*c**2 Expand (1 + 0 + 0)*(6*o - 131 - 12*o + 5*o) + 2*o - 5*o + 5*o. o - 131 Expand (-2*i**2 + 0*i**2 + 0*i**2)*(20 + i - 20)*(1 - 4 - 1)*(2 - 1 + 1)*(-3 + 3 + i). 16*i**4 Expand (-2*c**4 + c - c)*(-2*c + 2*c + c) - 5*c**5 - c**5 + 5*c**5 - 6*c**5 - 2*c**5 - 37*c**5 + 4*c**5 - 2*c**5 + 0*c**5. -46*c**5 Expand -2*x**4 - x**3 + x**3 + (-6*x**2 + 8 - 8)*(94*x**2 - 288*x**2 - 76*x**2). 1618*x**4 Expand (-2*j - 2*j + 6*j)*(17 - 102 - 100). -370*j Expand (-3 + 0 + 1)*(2*b - 4*b + b)*(1 + 3 + 1)*(0*b**2 + 1 - 5*b**3 + 0*b**2). -50*b**4 + 10*b Expand 5*o**3 + 17 - 17 + 2*o**3 - 4*o**3 - 2*o**3 + (5*o + o - 5*o)*(-o**2 - o**2 + 4*o**2). 3*o**3 Expand (-7*b + 12*b + 9*b)*(-b - 3*b + 12*b). 112*b**2 Expand -f**2 + 12*f**2 + 10*f**2 + (3 - 2 - 4)*(-5*f**2 + 4*f**2 + 0*f**2) - 3 + 3*f**2 + 3. 27*f**2 Expand (3*z + 2*z - 6*z)*(3 - 3 + 6*z) + 2*z**2 - 5*z**2 + 4*z**2 - 2*z - 6. -5*z**2 - 2*z - 6 Expand (-6*f**3 + 6*f**3 - 5*f**3)*(5 - 5 + 2*f)*(6*f - 505 + 505). -60*f**5 Expand (1 - 3 - 5)*(3 - 3 - 3*w + (5 - 4 + 1)*(3*w - 2*w + w)). -7*w Expand 0*r**4 + 6*r**5 - 7*r**4 + 8*r**4 + (r**4 - 4*r**4 + 2*r**4)*(r + 0*r - 3*r). 8*r**5 + r**4 Expand (x + 5*x**2 - 3*x**2 + 0*x**2)*((0 - 1 + 0)*(1 - 3*x - 1) + 2*x - 7*x + 4*x). 4*x**3 + 2*x**2 Expand (3*t - 49*t + 6*t)*(-3*t - 4*t + 2*t)*(-6*t + 2*t + 2*t). -400*t**3 Expand (3 - 3 - 3)*(5*d**2 + d**2 + 14*d**2 + 2*d + d**2 - 2*d + (0*d - d + 2*d)*(d + 3 - 3)). -66*d**2 Expand -3*f**3 + 6*f**3 + 4*f**3 + (1 + 2 - 4)*(-f**3 + 2*f**3 - 2*f**3) + 2*f**3 - 4*f**3 + 0*f**3 + 1827 - 1827 - 22*f**3. -16*f**3 Expand (-3*y**3 + 7*y**3 - y**3)*(2*y + 0 + 0 + (-2*y + 6*y - 2*y)*(5 - 12 - 7) - 5*y - 3*y + 6*y). -84*y**4 Expand (-4*s**4 + 7*s**4 - 9*s**4)*(2*s - s - 4*s + s + 0*s + 0*s + 0*s + 2*s - 3*s + (-3*s + 2*s + 0*s)*(1 - 2 - 1)). 6*s**5 Expand (2 - 2 - 2)*(-728 + 365 + 344)*(0*q**4 - 2*q**4 + 0*q**4). -76*q**4 Expand (-36*r**2 - 2006 + 2*r**3 + 2006)*(-2 - 2 - 3). -14*r**3 + 252*r**2 Expand (-2*u**3 + 1391 + 3*u - 1391)*(0*u**2 + u**2 - 3*u**2). 4*u**5 - 6*u**3 Expand 4*d**2 - 7*d**2 + 6*d**2 - 2*d**5 + (5*d**4 + 0 + 0)*(-d - 2*d + 4*d). 3*d**5 + 3*d**2 Expand ((-1 + 2*u + 1)*(-2 + 1 - 3) + u + 0*u + u + 3*u - 3*u - u)*(-6 - 26 - 8). 280*u Expand -j - 2*j + 4*j + (1 - 1 + 1)*(2 + j - 2) - 2*j + 25*j - 7*j. 18*j Expand (-27 + 10 + 8)*(o - 11*o + 4*o) + 4 - 4 - 1 + 2*o. 56*o - 1 Expand (7*q**3 - 7*q**3 - 3*q**3)*(0 + 5 + 1)*(8 + 2 - 7). -54*q**3 Expand (u**3 - 4*u**3 + u**3)*(u - 2*u - u) + (-6*u**3 + 2*u**3 - 4*u**3)*(4 + u - 4). -4*u**4 Expand (-5*a**3 - 9*a**2 + 2*a**2 + 5*a**2 + (-2*a**3 - a**3 + a**3)*(-3 + 0 + 1) + 0*a**2 + 0*a**2 + 2*a**3 + 4*a**3 + 12*a**3 + 3*a**3)*(6*a - 3*a + 0*a). 60*a**4 - 6*a**3 Expand (-4*u**4 + 4*u**4 + u**4)*(4595*u - 5 + 5 + 1097*u) + 3*u + u**5 - 3*u. 5693*u**5 Expand (63 - 8*z - 68 - 24*z + 12*z)*(1 - 1 + z). -20*z**2 - 5*z Expand (-963*g - 166*g**2 + 963*g)*(-4*g + g + 2*g)*(0*g**2 - g**2 + g - g**2). -332*g**5 + 166*g**4 Expand (-4 + 1 + 2)*(-3*u**2 + 2*u**2 + 2*u**2) + 69 - u - 2*u**2 - 40 + 87. -3*u**2 - u + 116 Expand -2*z + 1 - 1 + (2 - 3 - 1)*(3 + z - 3) - 2*z + 4 - 4 - 1 + 2*z + 1 - 14*z + 6*z - 14*z. -26*z Expand (-3*a**3 - 3*a**3 + 4*a**3)*((-4 + 2 + 1)*(-2*a - 2*a + a) - 12*a - 13*a + 3*a). 38*a**4 Expand 0*k**3 + k**3 + 0*k**3 + (4*k - k - 5*k)*(k**2 - k**2 + 9*k**2). -17*k**3 Expand (0 - 9 - 3)*(3 - 5*z - 3) + 1 - 2*z - 1. 58*z Expand (-302*r - 48*r - 29*r)*(-2*r**2 - r**2 + 5*r**2)*(4 + 0 - 3)*(-1 + 3 - 1). -758*r**3 Expand -2 + 2 - 3*z - 1 + 1 + z + 1 - 2*z - 1 - 2*z + 4*z - z + (0 + 0 - 2*z)*(3 + 2 - 3) + 0*z + 6*z + 0*z. -z Expand 0*l**5 + l**5 + 0*l**5 + 6*l**5 - 136 + 136 + (5*l**3 + 0*l**3 - l**3)*(0*l + 0*l + l**2) + 2*l - 2*l + 2*l**5. 13*l**5 Expand 131*f**3 - 753*f**4 - 274*f**3 + 141*f**3 + (-3*f + 4*f + 0*f)*(4*f**2 - 2*f**3 - 4*f**2). -755*f**4 - 2*f**3 Expand -12*z**3 - 8*z**5 + 12*z**3 + (2*z**2 - 2*z**2 + 2*z**5)*(-1 + 2 + 1) + 16*z**5 + 118*z**2 - 118*z**2 - 1 + 2*z**5 + 1. 14*z**5 Expand (-3*q + 3*q + 2*q + (-2 + 1 + 3)*(-3 + 3*q + 3) - 9*q + 6*q + 7*q)*(q - 2*q**3 - 5*q**2 - q). -24*q**4 - 60*q**3 Expand 2*j**2 - 5*j**2 + 2*j**2 + 5*j - 2*j**2 - 5*j + (-j - 3*j + 0*j)*(-j + 3*j - 4*j). 5*j**2 Expand (-q**2 + 2 - 2)*(14*q**3 - 31*q**2 + 31*q**2) - 4*q**5 + 3*q**3 - 3*q**3. -18*q**5 Expand -37 - 3*k**5 + 37 - 3*k**5 + 16*k**5 + k**5 + (k**4 - 4*k**4 + k**4)*(2*k + 2*k - 2*k). 7*k**5 Expand (7*l + 20*l - 14*l)*(1 - 4 + 5). 26*l Expand (-19*q + 3*q + 27*q)*(-3*q**3 + 2*q**3 - 4*q**3). -55*q**4 Expand (-13*g - 25 + 25)*(-17*g**3 + 48 - 48). 221*g**4 Expand (2*w**2 + 4*w**2 - 4*w**2)*(1 + 2*w**2 - 1) - 55*w**3 - 48*w**3 - 9*w**4 + 100*w**3. -5*w**4 - 3*w**3 Expand (d**2 - 3*d**2 + d**2)*(-120*d**2 + 19*d**2 - 67*d**2). 168*d**4 Expand (-3 - 2*u + 3)*(-9 + 28 - 10 - 5*u). 10*u**2 - 18*u Expand (-v + 4 - 4)*(v**3 + 0*v**3 - 4*v**3) + 25*v**4 + 35*v**4 - 26*v**4. 37*v**4 Expand (66 + 35 - 63)*(2*f + 4*f**3 - 2*f). 152*f**3 Expand -56*r**3 + 2 + 54*r**3 + r - 2*r + (1 + 2 + 6)*(-r**3 + 4*r**3 - r**3) + r**3 - 3*r**2 + 3*r**2. 17*r**3 - r + 2 Expand 556*q - 276*q + 2 - 274*q + (5*q - 3*q - q)*(2 + 1 - 2). 7*q + 2 Expand (297*r - 128 + 128)*(-4 + 2 + 3)*(2*r + 2*r**2 - 2*r). 594*r**3 Expand -3*q**2 + 8*q - 11*q + 2*q**2 + (q - 6*q + 3*q)*(5*q - 8*q - 10*q) - 3*q**2 + 4*q**2 - 3*q**2. 23*q**2 - 3*q Expand (2 + 7*d - 2)*(d - 1 - d + d**3)*(-3 + 1 + 3). 7*d**4 - 7*d Expand (0*w**3 + w**3 - 3*w**3)*(14 + 2 - 9)*(5 - 15 - 4). 196*w**3 Expand (34*c - 34*c - 30*c)*(-2 + 1 - 2). 90*c Expand 0*v**5 + 0*v**5 - 2*v**5 + (2 - 2 + 1)*(-3 - 2 + 3)*(13*v - 13*v + v**5). -4*v**5 Expand 6 + 2 + 2*k**3 + 0 + (-5*k**3 + k**3 - 4*k**3)*(2 - 5 + 1) - 2*k**3 - 4*k + 4*k. 16*k**3 + 8 Expand (3*z - 3*z - 24*z)*(9 - 3 - 2 + 0 + 1 - 2 - 1 + 1 + 1 + (3 - 7 + 2)*(2 + 1 - 5) + 2 + 0 - 4 - 3 + 0 + 2 - 1 + 0 + 2). -144*z Expand (-3*i + 53 + 5*i + 34)*(i + 0*i + 0*i). 2*i**2 + 87*i Expand (-2*s + 4654 + 5*s - 4646)*(s**3 + 0 + 0). 3*s**4 + 8*s**3 Expand 4*x**2 + x**4 - 4*x**2 + (-1 + x + 1)*(4*x**3 - 6*x**3 + 3*x**3) - 3*x**3 + 55 - 15*x**4 + 63 - 120. -13*x**4 - 3*x**3 - 2 Expand (2*g**2 - 2*g**2 - g**3)*(-2*g + 0*g**2 + 0*g**2 - g**2) + 28*g**5 - 48 + 48. 29*g**5 + 2*g**4 Expand (2*j**2 + 0 + 0)*(-40*j + 31*j - 9 + 10). -18*j**3 + 2*j**2 Expand (-5*p - 9*p + 13*p)*(-27*p**3 + 19*p**2 + 10*p**2 + 26*p**3). p**4 - 29*p**3 Expand p**5 - 3*p**5 - 2*p**5 + (22*p + 7*p + 13*p)*(0*p**4 + 4*p**4 - p**4) - p - 2*p**5 - p**5 + 4*p**5. 123*p**5 - p Expand (-2*h - 4*h**2 + 2*h - 3*h**2 + 2*h**2 + 2*h**2 + (h + 3 - 3)*(0*h - h - h) + 3*h - 3*h - h**2)*(h - 22*h - 12*h). 198*h**3 Expand 2 - 2 + 2*k + (31 - 2 + 28)*(11*k + 13*k - 8*k) + 2 - 2 - 2*k. 912*k Expand 0*o**2 - 3*o**2 + o**2 + 2*o**2 + 3*o**2 - 4*o**2 + (0*o - 2*o + o)*(4 - 4 - 2*o) + 0*o**2 + 0*o**2 - o**2 + (o + 4*o - 3*o)*(4 + 2*o - 4). 4*o**2 Expand (-1 - 3 + 0)*(2 + 1 - 4)*(-15 + 4 - 12)*(2*h - 6*h + 2*h). 184*h Expand (12*z**2 - 9*z - 6*z**2 - 7*z**2)*(-4*z - 2*z + 4*z + (-4 + 2 + 3)*(-3*z + 3*z + 2*z) - 4*z - z + 2*z)*(-z**2 - 3*z**2 + z**2). -9*z**5 - 81*z**4 Expand (-8*u - u**2 - 1 + 8*u)*(1 - 2*u**2 - 1 - u**2 + 3*u**2 - 3*u**2 + (0*u**2 + 2*u**2 - u**2)*(0 - 4 + 3) + 3*u**2 - 4*u**2 - u**2 + 3*u**2 - u**2 - u**2). 5*u**4 + 5*u**2 Expand (0*k - k + 0 - 5)*(20 - 41 + k + 31). -k**2 - 15*k - 50 Expand -11 - 13*p**5 + 15*p**5 - 5*p**5 + (-8*p - 2*p - p)*(-2 + p**2 - p**4 - p**2). 8*p**5 + 22*p - 11 Expand (-5*v + 2*v + 4*v)*(4*v - 4*v - 2*v**3 + 40*v**3). 38*v**4 Expand (-227*s + 198 + 804 + 225*s - 149)*(-2 + 3 + 0). -2*s + 853 Expand (0 - 2 + 3)*((3*n - 2*n + n)*(-4 + 0 + 3) - n + n - 15*n). -17*n Expand (0*f**3 - 5*f**3 + 3*f**3 + (0*f**2 + 2*f**2 + 0*f**2)*(2*f - 4 + 4) - 4*f**3 - f**3 + 4*f**3 - f**2 + f**2 + f**3)*(11 - 3 + 15). 46*f**3 Expand (-2 + 3 + 0)*(-5*p + 0*p + 2*p)*(-1 + 44 + 18 + (4 - 4 + 1)*(-3 - 2 + 7)). -189*p Expand 53118*w**4 - 74*w**5 - 53118*w**4 + (4 + w**3 - 4)*(-w**2 - w*
{ "pile_set_name": "DM Mathematics" }
023. Calculate q(-82). -3 Let y(n) = 2*n**2 + 75*n + 173. Determine y(-40). 373 Let c(k) = -483*k + 850. What is c(2)? -116 Let w(k) = 28*k + 1191. What is w(-14)? 799 Let p(k) = -2*k**2 + 29*k - 90. What is p(10)? 0 Let j(w) = 425*w + 8925. Give j(-21). 0 Let n(g) = 25*g + 272. What is n(-10)? 22 Let x(q) = -3*q**3 - 103*q**2 + 64*q - 207. Determine x(-35). 3 Let m(g) = -2*g**2 - 113*g - 103. Determine m(-57). -160 Let q(g) = -61*g - 46. Calculate q(4). -290 Let h(y) = y**3 - 51*y**2 + 111*y - 31. Give h(2). -5 Let f(x) = 5*x**3 + 39*x**2 + 126*x + 428. Calculate f(-6). -4 Let p(v) = -3*v - 41. Calculate p(-18). 13 Let l(q) = -208*q + 1271. Calculate l(6). 23 Let a(d) = 114*d**3 + 2*d**2 + 3*d - 4. Determine a(1). 115 Let d(o) = 35*o + 86. What is d(-2)? 16 Let u(q) = -2*q**2 - q + 588. Determine u(17). -7 Let o(t) = -2*t**2 + 100*t + 3. Give o(49). 101 Let z(d) = -d**3 - 370*d**2 + 363*d + 8. Calculate z(1). 0 Let q(b) = b**3 + 48*b**2 + 415*b - 620. Give q(-36). -8 Let k(f) = f + 45. What is k(-46)? -1 Let z(h) = h**3 - 10*h**2 + 5*h - 121. Give z(11). 55 Let a(p) = 2*p**3 + 4*p**2 - 19*p + 7. Calculate a(4). 123 Let h(n) = n**2 + 18*n - 59. Calculate h(6). 85 Let h(s) = s**2 + 64*s + 10. Determine h(0). 10 Let f(k) = k**2 - 14*k + 45. Determine f(14). 45 Let d(l) = l**3 - 31*l**2 - 142*l + 3521. Calculate d(32). 1 Let b(m) = -m**3 - 7*m**2 + 8*m + 18. Determine b(-6). -66 Let y(j) = -10*j**3 - 152*j**2 - 30*j + 16. Determine y(-15). 16 Let v(t) = -t**3 + 5*t**2 + 49*t + 8. Determine v(9). 125 Let g(t) = -3*t**2 + 88*t - 605. Determine g(11). 0 Let o(h) = -h**2 + 15*h - 10. Determine o(2). 16 Let j(k) = k**3 - 14*k**2 - 45*k + 839. What is j(12)? 11 Let u(a) = 4*a**3 + 39*a**2 + a + 25. Calculate u(-11). -591 Let l(a) = -a**2 - 76*a + 674. Give l(-84). 2 Let b(k) = -110*k - 7250. Give b(-66). 10 Let m(f) = -1328*f - 49134. What is m(-37)? 2 Let s(j) = 5*j - 115. What is s(21)? -10 Let z(i) = -10*i**2 - 53*i + 31. What is z(-10)? -439 Let b(j) = 14*j + 733. Determine b(-51). 19 Let u(d) = -8*d**3 - 9*d**2 + d + 14. What is u(-3)? 146 Let f(v) = 2*v**2 + 44*v - 189. What is f(4)? 19 Let b(v) = -109*v - 2182. Calculate b(-20). -2 Let b(x) = -4*x**2 + 24*x + 10. Give b(5). 30 Let z(i) = -2*i**3 + 42*i**2 - 158*i - 6. Determine z(5). 4 Let l(c) = 3*c**3 - 107*c + 16. Determine l(-6). 10 Let t(d) = 2*d**2 - 69*d - 499. What is t(38)? -233 Let i(w) = -w**3 + 19*w**2 + 3*w + 22. What is i(19)? 79 Let f(i) = -12*i**2 - 255*i - 993. Give f(-16). 15 Let w(d) = 73*d - 504. Determine w(7). 7 Let o(d) = -132*d + 3448. Calculate o(26). 16 Let u(d) = -2*d**2 + d - 227. Calculate u(-15). -692 Let c(r) = 2*r**2 + 131*r - 821. Determine c(-72). 115 Let q(r) = r**3 + 10*r**2 + 19*r + 25. Give q(-6). 55 Let s(o) = 22*o + 646. Give s(-29). 8 Let f(d) = -2*d**3 + 3*d**2 + 4*d - 26. Give f(6). -326 Let t(u) = -2792*u**2 - 13957*u + 16. Determine t(-5). 1 Let h(y) = 1169*y + 36260. Give h(-31). 21 Let j(u) = u**3 - 12*u**2 - 200*u + 772. What is j(20)? -28 Let r(g) = 2*g**2 + 5*g - 601. Calculate r(0). -601 Let r(j) = -j**3 - 39*j**2 + 192*j + 865. Calculate r(-43). 5 Let d(y) = -3*y**2 + 249*y + 403. What is d(82)? 649 Let y(a) = 39*a + 25. Calculate y(11). 454 Let t(d) = -27*d**3 + 4*d**2 + 76*d + 73. Calculate t(-1). 28 Let q(w) = -w**3 + 47*w**2 + 52*w - 225. Determine q(48). -33 Let t(h) = -15*h + 794. Determine t(46). 104 Let q(j) = 4*j**3 + 3*j**2 - j + 8. Give q(-4). -196 Let g(y) = 160*y - 2273. Calculate g(14). -33 Let l(t) = t**2 - 127*t - 251. What is l(-2)? 7 Let a(j) = -118*j + 21123. Determine a(179). 1 Let d(i) = -i**3 + 36*i**2 - 82*i + 475. What is d(34)? -1 Let y(q) = -4*q**3 + 13*q**2 + 180*q - 201. Determine y(8). 23 Let w(h) = -h**2 - 129*h + 404. Determine w(-132). 8 Let c(f) = f**3 - 9*f**2 - 361*f + 54. Give c(24). 30 Let m(n) = -2*n**3 + 236*n**2 + 478*n + 272. Determine m(120). 32 Let q(v) = 20*v**3 + 336*v**2 - 85*v - 297. Calculate q(-17). -8 Let o(x) = -13*x**2 - 5*x - 4. Determine o(4). -232 Let y(r) = -r**3 + r**2 + 44*r + 1. Give y(8). -95 Let x(f) = -f**3 + 40*f**2 - 352*f - 317. Determine x(26). -5 Let g(f) = 1243*f - 21135. Calculate g(17). -4 Let o(j) = -53*j + 265. Calculate o(14). -477 Let w(n) = -n**2 - 136*n - 1795. Give w(-15). 20 Let x(f) = f**3 + 23*f**2 + 4*f + 44. Give x(-23). -48 Let n(g) = g**2 - 8*g - 84. Calculate n(-14). 224 Let m(t) = -t**2 + 962*t - 20677. Determine m(22). 3 Let p(b) = -3*b**3 + 71*b**2 + 21*b + 49. What is p(24)? -23 Let z(v) = -26*v - 276. Determine z(-11). 10 Let n(q) = 7*q**2 + 34*q + 159. Give n(-6). 207 Let m(i) = -13*i**2 - 138*i + 15. Determine m(-10). 95 Let g(i) = -4*i**3 - 11*i**2 + 3*i - 209. Determine g(-5). 1 Let a(c) = 1627*c + 13029. Determine a(-8). 13 Let k(g) = 4*g**3 + 126*g**2 - 27*g + 1182. Give k(-32). -2 Let d(z) = z**3 + 2*z**2 - 5*z - 35. What is d(3)? -5 Let i(w) = -2*w**3 + 435*w**2 - 650*w + 502. Determine i(216). 70 Let f(h) = 3*h**2 - 16*h - 17. Determine f(6). -5 Let h(z) = -8*z + 235. Determine h(31). -13 Let c(x) = -14*x**2 - 717*x - 160. What is c(-51)? -7 Let x(z) = 4*z**2 - 105*z + 107. Calculate x(1). 6 Let h(l) = 95*l**2 - 2563*l - 60. Determine h(27). -6 Let z(s) = -s**3 - 12*s**2 - 2*s + 49. Give z(-11). -50 Let s(c) = -c**2 - 925*c - 10069. Give s(-11). -15 Let x(b) = -134*b + 1526. Calculate x(11). 52 Let l(k) = -68*k - 537. Calculate l(-8). 7 Let b(y) = -10*y - 139. What is b(-13)? -9 Let u(v) = -v**3 - 15*v**2 - 83*v - 87. Calculate u(-7). 102 Let c(t) = 2*t**2 + 51*t - 594. Calculate c(-34). -16 Let a(m) = -m**3 + 49*m**2 - 470*m + 81. What is a(36)? 9 Let b(j) = -922*j + 16607. Determine b(18). 11 Let m(c) = 24*c - 206. Determine m(22). 322 Let d(v) = 8*v**3 + 222*v**2 - 54*v + 40. What is d(-28)? -16 Let r(z) = 4*z**2 - 50*z + 71. What is r(11)? 5 Let u(t) = -2*t + 140. What is u(-27)? 194 Let j(u) = -87*u - 2067. Calculate j(-25). 108 Let m(i) = 2*i**3 - 15*i**2 + 15*i - 69. Calculate m(7). -13 Let b(j) = -j**2 + 66*j - 824. Calculate b(49). 9 Let i(t) = t**2 + 126*t + 3128. What is i(-34)? 0 Let z(v) = -v**2 - 2*v + 103. Calculate z(-11). 4 Let s(f) = 30*f - 4555. Determine s(152). 5 Let g(o) = -3*o**3 - 57*o**2 - 41*o - 5. Determine g(-19). 774 Let o(n) = 39*n**2 - 1145*n + 33. Determine o(29). -373 Let i(d) = -d**3 + 10*d**2 + 10*d - 46. Calculate i(11). -57 Let w(t) = -t**3 + 61*t**2 + 35*t + 1724. Give w(62). 50 Let b(w) = 3*w**3 - 108*w + 217. What is b(2)? 25 Let l(t) = -4*t - 261. Calculate l(-53). -49 Let n(q) = 88*q**2 + 180*q + 10. Give n(-2). 2 Let a(c) = -51*c + 813. What is a(16)? -3 Let o(h) = h**3 - 14*h**2 + 25*h - 130. Calculate o(13). 26 Let o(g) = g**3 - 27*g**2 + 54*g + 58. What is o(3)? 4 Let k(j) = -4*j**2 + 3*j + 186. Calculate k(-6). 24 Let c(m) = -2*m**3 + 2*m**2 + 27*m - 4. Calculate c(-4). 48 Let f(m) = -271*m - 1088. Calculate f(-4). -4 Let c(b) = -83*b**3 - 2*b**2 + 3*b + 3. What is c(0)? 3 Let r(x) = x - 30. Give r(12). -18 Let k(g) = -1863*g + 24213. Calculate k(13). -6 Let f(p) = -52*p + 124. Determine f(11). -448 Let t(p) = -11*p**2 + 34*p - 36. What is t(1)? -13 Let u(p) = 34*p + 1648. Determine u(-48). 16 Let m(b) = -2*b**2 + 2041*b + 4081. Give m(-2). -9 Let h(n) = 3*n**3 - 240*n**2 + 233*n + 200. Calculate h(79). -116 Let k(a) = -47*a**2 - 277*a + 15. Calculate k(-6). -15 Let n(j) = -j**3 - 54*j**2 - 56*j - 150. Give n(-53). 9 Let g(c) = c**3 - 17*c**2 + 6*c - 100. Give g(17). 2 Let a(z) = -3506*z - 17485. Give a(-5). 45 Let t(h) = h**2 + h - 125. Calculate t(12). 31 Let g(a) = 146*a + 11965. What is g(-82)? -7 Let i(y) = -2386*y - 19086. Give i(-8). 2 Let s(b) = 947*b - 188446. What is s(199)? 7 Let c(i) = 519*i - 14018. What is c(27)? -5 Let l(v) = 17*v + 1231. What is l(-72)? 7 Let h(u) = -138*u + 264. Calculate h(2). -12 Let k(y) = -y**3 - 26*y**2 + 12*y - 62. Determine k(-27). 343 Let n(d) = d**2 + 65*d - 670. Determine n(9). -4 Let g(j) = j**2 + 26*j - 780. Calculate g(18). 12 Let q(c) = 24*c - 149. Calculate q(6). -5 Let p(q) = q**3 - 99*q**2 + 437*q - 33213. Give p(98). 9 Let u(t) = -t**3 + 56*t**2 - 155*t - 176. Calculate u(53). 36 Let u(n) = -61*n - 461. Give u(-13). 332 Let v(b) = -56*b**2 - 13552*b + 5. What is v(-242)? 5 Let m(c) = 13*c - 165. Calculate m(15). 30 Let n(t) = -2*t**2 - 45*t + 15
{ "pile_set_name": "DM Mathematics" }
92855? -5977*p**2 + 2*p + 4 What is the t'th term of -2406609, -4813216, -7219821, -9626424, -12033025? t**2 - 2406610*t What is the h'th term of 278, 331, 384? 53*h + 225 What is the i'th term of -35, 15, 71, 133, 201? 3*i**2 + 41*i - 79 What is the q'th term of 801190, 801202, 801238, 801310, 801430, 801610, 801862? 2*q**3 - 2*q + 801190 What is the a'th term of -6187, -12372, -18557, -24742? -6185*a - 2 What is the b'th term of 2514, 2457, 2400, 2343? -57*b + 2571 What is the p'th term of 3980, 15931, 35850, 63737? 3984*p**2 - p - 3 What is the w'th term of -122, -171, -256, -395, -606, -907, -1316? -3*w**3 - 28*w - 91 What is the n'th term of -31148, -31151, -31154, -31157, -31160, -31163? -3*n - 31145 What is the j'th term of 401, 3188, 10753, 25484, 49769? 398*j**3 + j**2 - 2*j + 4 What is the w'th term of -1349, -1377, -1423, -1487, -1569? -9*w**2 - w - 1339 What is the g'th term of -2738, -5494, -8250, -11006, -13762, -16518? -2756*g + 18 What is the x'th term of -509749, -509750, -509751, -509752, -509753? -x - 509748 What is the k'th term of -4, 40, 84, 128, 172, 216? 44*k - 48 What is the s'th term of 2263790, 4527581, 6791372, 9055163? 2263791*s - 1 What is the y'th term of 1622, 6456, 14514, 25796, 40302? 1612*y**2 - 2*y + 12 What is the x'th term of -78196, -156388, -234578, -312766, -390952, -469136? x**2 - 78195*x - 2 What is the m'th term of -176304, -352608, -528912? -176304*m What is the q'th term of -54720, -109440, -164160, -218880, -273600? -54720*q What is the n'th term of -490, -503, -516, -529, -542? -13*n - 477 What is the z'th term of -1688, -1692, -1696, -1700? -4*z - 1684 What is the r'th term of -37222, -74441, -111664, -148891, -186122, -223357, -260596? -2*r**2 - 37213*r - 7 What is the j'th term of -1188, -2424, -3660? -1236*j + 48 What is the p'th term of 134908, 269812, 404716, 539620, 674524, 809428? 134904*p + 4 What is the j'th term of -3097, -6206, -9327, -12460? -6*j**2 - 3091*j What is the x'th term of 1826, 1834, 1842, 1850, 1858, 1866? 8*x + 1818 What is the v'th term of 111, 286, 475, 684, 919, 1186? v**3 + v**2 + 165*v - 56 What is the f'th term of -11792, -23597, -35420, -47261, -59120, -70997, -82892? -9*f**2 - 11778*f - 5 What is the s'th term of -150, -441, -888, -1491, -2250? -78*s**2 - 57*s - 15 What is the d'th term of -1800496, -1800495, -1800494, -1800493, -1800492, -1800491? d - 1800497 What is the l'th term of -139, -183, -233, -271, -279, -239? 3*l**3 - 21*l**2 - 2*l - 119 What is the q'th term of 127029, 127008, 126965, 126888, 126765, 126584? -2*q**3 + q**2 - 10*q + 127040 What is the n'th term of -377, -406, -435, -464, -493, -522? -29*n - 348 What is the g'th term of 29336, 58676, 88016, 117356, 146696, 176036? 29340*g - 4 What is the o'th term of -745050, -745045, -745040, -745035? 5*o - 745055 What is the a'th term of -26224, -52449, -78674, -104899, -131124, -157349? -26225*a + 1 What is the p'th term of 275, 1045, 2327, 4121, 6427, 9245, 12575? 256*p**2 + 2*p + 17 What is the d'th term of 178, 722, 1620, 2866, 4454, 6378, 8632? -d**3 + 183*d**2 + 2*d - 6 What is the m'th term of 1326, 1323, 1338, 1371, 1422, 1491, 1578? 9*m**2 - 30*m + 1347 What is the k'th term of 937, 1893, 2857, 3835, 4833? k**3 - 2*k**2 + 955*k - 17 What is the x'th term of 132, 86, -26, -234, -568, -1058, -1734? -5*x**3 - 3*x**2 - 2*x + 142 What is the l'th term of 192, 744, 1662, 2946? 183*l**2 + 3*l + 6 What is the r'th term of -106, -364, -794, -1396, -2170, -3116, -4234? -86*r**2 - 20 What is the l'th term of 45312, 181229, 407756, 724893, 1132640, 1630997, 2219964? 45305*l**2 + 2*l + 5 What is the g'th term of -41421, -41426, -41435, -41448, -41465, -41486, -41511? -2*g**2 + g - 41420 What is the f'th term of 181277, 362552, 543827, 725102? 181275*f + 2 What is the m'th term of -134, -327, -648, -1097? -64*m**2 - m - 69 What is the j'th term of -10627027, -10627028, -10627029, -10627030, -10627031, -10627032? -j - 10627026 What is the u'th term of -151, -564, -1515, -3274, -6111, -10296? -45*u**3 + u**2 - 101*u - 6 What is the j'th term of 126, 370, 768, 1320, 2026, 2886, 3900? 77*j**2 + 13*j + 36 What is the s'th term of 338, 1433, 3292, 5921, 9326, 13513, 18488? s**3 + 376*s**2 - 40*s + 1 What is the m'th term of 1936, 1959, 2012, 2107, 2256, 2471? 2*m**3 + 3*m**2 + 1931 What is the y'th term of 838, 1226, 690, -1232, -5002, -11082? -77*y**3 + 927*y - 12 What is the a'th term of 553, 4664, 15923, 37936, 74309, 128648, 204559, 305648? 601*a**3 - 32*a**2 - 16 What is the l'th term of -879, -887, -895? -8*l - 871 What is the m'th term of -39216, -78447, -117700, -156981, -196296, -235651, -275052, -314505? -m**3 - 5*m**2 - 39209*m - 1 What is the x'th term of -26318, -26324, -26330? -6*x - 26312 What is the f'th term of -17953, -35904, -53855? -17951*f - 2 What is the q'th term of 102, 201, 300, 393, 474? -q**3 + 6*q**2 + 88*q + 9 What is the m'th term of 1066, 1075, 1086, 1099? m**2 + 6*m + 1059 What is the q'th term of 113, 407, 771, 1103, 1301? -17*q**3 + 137*q**2 + 2*q - 9 What is the v'th term of 708091, 708083, 708061, 708019, 707951, 707851? -v**3 - v**2 + 2*v + 708091 What is the w'th term of 19238, 19153, 19010, 18809, 18550, 18233? -29*w**2 + 2*w + 19265 What is the r'th term of 4220, 4225, 4230, 4235? 5*r + 4215 What is the u'th term of 1020, 3852, 8572, 15180, 23676, 34060, 46332? 944*u**2 + 76 What is the b'th term of 69, 148, 201, 216, 181, 84, -87, -344? -2*b**3 - b**2 + 96*b - 24 What is the i'th term of -194, -464, -812, -1232, -1718, -2264? i**3 - 45*i**2 - 142*i - 8 What is the n'th term of -229, -560, -989, -1564, -2333, -3344, -4645, -6284? -8*n**3 - n**2 - 272*n + 52 What is the r'th term of 9181, 9206, 9253, 9328, 9437, 9586? r**3 + 5*r**2 + 3*r + 9172 What is the q'th term of 129, 291, 551, 903, 1341, 1859, 2451? -q**3 + 55*q**2 + 4*q + 71 What is the r'th term of 67954, 135915, 203870, 271813, 339738, 407639, 475510, 543345? -r**3 + 3*r**2 + 67959*r - 7 What is the s'th term of 546, 2004, 4434, 7836, 12210? 486*s**2 + 60 What is the u'th term of 14813, 14754, 14695, 14636? -59*u + 14872 What is the b'th term of 8581, 8433, 8271, 8089, 7881? -b**3 - b**2 - 138*b + 8721 What is the v'th term of 69, 80, 101, 138, 197, 284? v**3 - v**2 + 7*v + 62 What is the c'th term of 4961, 19850, 44665, 79406, 124073? 4963*c**2 - 2 What is the s'th term of -68, -81, -102, -137, -192, -273, -386, -537? -s**3 + 2*s**2 - 12*s - 57 What is the c'th term of -1468, -1479, -1490, -1495, -1488? c**3 - 6*c**2 - 1463 What is the a'th term of -76130, -76131, -76134, -76139? -a**2 + 2*a - 76131 What is the w'th term of 263, 264, 287, 338, 423? w**3 + 5*w**2 - 21*w + 278 What is the g'th term of 39209, 39211, 39213, 39215? 2*g + 39207 What is the l'th term of 565, -1424, -4745, -9404, -15407, -22760, -31469, -41540? -l**3 - 660*l**2 - 2*l + 1228 What is the r'th term of 2865, 2868, 2875, 2886, 2901? 2*r**2 - 3*r + 2866 What is the u'th term of 267, 2710, 9509, 22842, 44887, 77822, 123825? 363*u**3 - 98*u + 2 What is the a'th term of 1787, 1767, 1735, 1685, 1611? -a**3 - 13*a + 1801 What is the q'th term of 164, 121, 64, 11, -20, -11, 56, 199? 3*q**3 - 25*q**2 + 11*q + 175 What is the y'th term of 6830, 13680, 20556, 27470, 34434, 41460? 2*y**3 + y**2 + 6833*y - 6 What is the u'th term of -65001, -129978, -194955, -259932? -64977*u - 24 What is the z'th term of 107, 417, 937, 1667, 2607? 105*z**2 - 5*z + 7 What is the v'th term of -4910, -4858, -4806? 52*v - 4962 What is the s'th term of -7, 1, 55, 185, 421, 793, 1331? 5*s**3 - 7*s**2 - 6*s + 1 What is the g'th term of 17, -96, -449, -1180, -2427, -4328, -7021, -10644? -23*g**3 + 18*g**2 - 6*g + 28 What is the t'th term of -13779, -27549, -41295, -55005, -68667, -82269, -95799, -109245? 2*t**3 - 13784*t + 3 What is the t'th term of 15, 525, 1375, 2565, 4095, 5965? 170*t**2 - 155 What is the r'th term of 60539, 60533, 60527? -6*r + 60545 What is the f'th term of -75822, -151648, -227474, -303300? -75826*f + 4 What is the z'th term of 118, 373, 792, 1375, 2122? 82*z**2 + 9*z + 27 What is the p'th term of 242125, 484253, 726381, 968509, 1210637, 1452765? 242128*p - 3 What is the y'th term of -116072, -232138, -348204, -464270, -580336? -116066*y - 6 What is
{ "pile_set_name": "DM Mathematics" }
root of 255735 to the nearest integer? 6 What is 417769 to the power of 1/2, to the nearest integer? 646 What is 225475 to the power of 1/2, to the nearest integer? 475 What is the cube root of 1259747 to the nearest integer? 108 What is 1706111 to the power of 1/5, to the nearest integer? 18 What is the third root of 1120210 to the nearest integer? 104 What is 21461316 to the power of 1/5, to the nearest integer? 29 What is 3547781 to the power of 1/3, to the nearest integer? 153 What is 4492297 to the power of 1/10, to the nearest integer? 5 What is 302799 to the power of 1/2, to the nearest integer? 550 What is 117297 to the power of 1/5, to the nearest integer? 10 What is the fifth root of 13397690 to the nearest integer? 27 What is 13205 to the power of 1/7, to the nearest integer? 4 What is 613565 to the power of 1/2, to the nearest integer? 783 What is the third root of 10789185 to the nearest integer? 221 What is the seventh root of 11977616 to the nearest integer? 10 What is 11607864 to the power of 1/4, to the nearest integer? 58 What is the third root of 723413 to the nearest integer? 90 What is 71900 to the power of 1/3, to the nearest integer? 42 What is the third root of 15809261 to the nearest integer? 251 What is 692392 to the power of 1/7, to the nearest integer? 7 What is 1883082 to the power of 1/6, to the nearest integer? 11 What is 860252 to the power of 1/6, to the nearest integer? 10 What is 4780969 to the power of 1/3, to the nearest integer? 168 What is the third root of 4083760 to the nearest integer? 160 What is 196430 to the power of 1/8, to the nearest integer? 5 What is 4847090 to the power of 1/10, to the nearest integer? 5 What is 741555 to the power of 1/3, to the nearest integer? 91 What is the eighth root of 29968462 to the nearest integer? 9 What is the square root of 1999177 to the nearest integer? 1414 What is the square root of 2792018 to the nearest integer? 1671 What is the tenth root of 1923227 to the nearest integer? 4 What is the third root of 12659064 to the nearest integer? 233 What is 417617 to the power of 1/3, to the nearest integer? 75 What is the square root of 156452 to the nearest integer? 396 What is the third root of 536022 to the nearest integer? 81 What is 63401 to the power of 1/8, to the nearest integer? 4 What is 2514943 to the power of 1/7, to the nearest integer? 8 What is the seventh root of 1158758 to the nearest integer? 7 What is 318275 to the power of 1/7, to the nearest integer? 6 What is the sixth root of 7130847 to the nearest integer? 14 What is the third root of 222221 to the nearest integer? 61 What is the ninth root of 5652527 to the nearest integer? 6 What is 3098834 to the power of 1/2, to the nearest integer? 1760 What is 12947813 to the power of 1/3, to the nearest integer? 235 What is the cube root of 2750473 to the nearest integer? 140 What is the third root of 139743 to the nearest integer? 52 What is 1571038 to the power of 1/2, to the nearest integer? 1253 What is 130359 to the power of 1/6, to the nearest integer? 7 What is the cube root of 16001001 to the nearest integer? 252 What is the cube root of 2147484 to the nearest integer? 129 What is the cube root of 9028360 to the nearest integer? 208 What is the third root of 14231153 to the nearest integer? 242 What is the square root of 214344 to the nearest integer? 463 What is the square root of 105889 to the nearest integer? 325 What is the square root of 563218 to the nearest integer? 750 What is 1721440 to the power of 1/3, to the nearest integer? 120 What is 1517214 to the power of 1/8, to the nearest integer? 6 What is 6317070 to the power of 1/2, to the nearest integer? 2513 What is the cube root of 95182 to the nearest integer? 46 What is 159557 to the power of 1/2, to the nearest integer? 399 What is 2300638 to the power of 1/2, to the nearest integer? 1517 What is the square root of 658011 to the nearest integer? 811 What is the square root of 487542 to the nearest integer? 698 What is the square root of 106616 to the nearest integer? 327 What is 117708 to the power of 1/2, to the nearest integer? 343 What is the square root of 185763 to the nearest integer? 431 What is the square root of 3247304 to the nearest integer? 1802 What is 1516699 to the power of 1/2, to the nearest integer? 1232 What is the eighth root of 40594037 to the nearest integer? 9 What is the third root of 175138 to the nearest integer? 56 What is 584217 to the power of 1/6, to the nearest integer? 9 What is the square root of 941855 to the nearest integer? 970 What is the eighth root of 1747036 to the nearest integer? 6 What is 2277051 to the power of 1/3, to the nearest integer? 132 What is 1815279 to the power of 1/2, to the nearest integer? 1347 What is the square root of 6387267 to the nearest integer? 2527 What is the sixth root of 2589510 to the nearest integer? 12 What is 32423 to the power of 1/4, to the nearest integer? 13 What is the third root of 2026883 to the nearest integer? 127 What is the third root of 150489 to the nearest integer? 53 What is the seventh root of 1312405 to the nearest integer? 7 What is the fifth root of 1356617 to the nearest integer? 17 What is the third root of 296038 to the nearest integer? 67 What is 2175008 to the power of 1/6, to the nearest integer? 11 What is 6062564 to the power of 1/4, to the nearest integer? 50 What is 8236916 to the power of 1/6, to the nearest integer? 14 What is the third root of 111268 to the nearest integer? 48 What is the cube root of 4681113 to the nearest integer? 167 What is the cube root of 355389 to the nearest integer? 71 What is 270637 to the power of 1/2, to the nearest integer? 520 What is the square root of 164727 to the nearest integer? 406 What is the square root of 2958281 to the nearest integer? 1720 What is the cube root of 24485697 to the nearest integer? 290 What is 2359257 to the power of 1/2, to the nearest integer? 1536 What is the square root of 170939 to the nearest integer? 413 What is the seventh root of 337255 to the nearest integer? 6 What is 2072914 to the power of 1/6, to the nearest integer? 11 What is 1640006 to the power of 1/2, to the nearest integer? 1281 What is 878292 to the power of 1/2, to the nearest integer? 937 What is the third root of 194862 to the nearest integer? 58 What is the eighth root of 330405 to the nearest integer? 5 What is 14154370 to the power of 1/2, to the nearest integer? 3762 What is the seventh root of 4199703 to the nearest integer? 9 What is the eighth root of 537406 to the nearest integer? 5 What is 98978 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 4055936 to the nearest integer? 13 What is 7693920 to the power of 1/2, to the nearest integer? 2774 What is 945241 to the power of 1/2, to the nearest integer? 972 What is the third root of 21674716 to the nearest integer? 279 What is the square root of 812177 to the nearest integer? 901 What is the square root of 1971699 to the nearest integer? 1404 What is the third root of 5930020 to the nearest integer? 181 What is the tenth root of 2345111 to the nearest integer? 4 What is 67578 to the power of 1/3, to the nearest integer? 41 What is 6714127 to the power of 1/2, to the nearest integer? 2591 What is 330738 to the power of 1/8, to the nearest integer? 5 What is the eighth root of 2848272 to the nearest integer? 6 What is 785112 to the power of 1/10, to the nearest integer? 4 What is 261406 to the power of 1/2, to the nearest integer? 511 What is the square root of 698911 to the nearest integer? 836 What is 985451 to the power of 1/2, to the nearest integer? 993 What is the square root of 14879827 to the nearest integer? 3857 What is 429436 to the power of 1/2, to the nearest integer? 655 What is the cube root of 4416833 to the nearest integer? 164 What is 41475 to the power of 1/8, to the nearest integer? 4 What is 333205 to the power of 1/8, to the nearest integer? 5 What is the third root of 599516 to the nearest integer? 84 What is 4004087 to the power of 1/3, to the nearest integer? 159 What is 2031924 to the power of 1/7, to the nearest integer? 8 What is 71565 to the power of 1/2, to the nearest integer? 268 What
{ "pile_set_name": "DM Mathematics" }
s 716 - 214240? -213423 In base 7, what is 1 - -51401233? 51401234 In base 5, what is -134144 - 11011213? -11200412 In base 9, what is 1 + 4402037? 4402038 In base 11, what is -a8 + -38264? -38361 In base 9, what is -563642 - -13? -563628 In base 16, what is 163f798 - -5? 163f79d In base 8, what is 5 + 446251271? 446251276 In base 15, what is a986d + 21? a988e In base 5, what is 0 - 320101110402? -320101110402 In base 12, what is 22133 - -117a? 232b1 In base 11, what is 4 + 937592? 937596 In base 5, what is 24 + -1240300003? -1240244424 In base 16, what is -5 - 27c9d? -27ca2 In base 3, what is 10120 - -220122022? 220202212 In base 10, what is -1554 - 138077? -139631 In base 12, what is 0 - 109b1745? -109b1745 In base 8, what is -6 + -1034722? -1034730 In base 6, what is 13 + -1341153? -1341140 In base 12, what is 15 - -4a546b1? 4a54706 In base 11, what is -13576733 - 0? -13576733 In base 2, what is 11111000010011000000011 - -100000? 11111000010011000100011 In base 3, what is -11 - 102212111200111? -102212111200122 In base 12, what is -4a0279 + -313? -4a0590 In base 9, what is 118 + 6374301? 6374420 In base 14, what is -bdc51 + 32? -bdc1d In base 14, what is -5 - -4044431? 404442a In base 16, what is 13 - -4034a3? 4034b6 In base 12, what is 12ab4981 + -2? 12ab497b In base 15, what is -125d7 + 3c37? -d8a0 In base 10, what is -7 - 154245? -154252 In base 7, what is 66 - 3632013? -3631614 In base 12, what is a723 + -50a? a215 In base 11, what is -1a04 - -10323? 941a In base 8, what is -2005 + -4427? -6434 In base 5, what is 102 - 1100422421? -1100422314 In base 6, what is 123023 + -12151? 110432 In base 4, what is 131133222331 + 0? 131133222331 In base 2, what is 101110101111 + 111111100? 110110101011 In base 4, what is -10 - 2120312202? -2120312212 In base 13, what is 17243 + 88c? 17b02 In base 6, what is 5 + 4254013412? 4254013421 In base 2, what is 10000110000000110010 - 111110010? 10000101111001000000 In base 11, what is -30557520 - -4? -30557517 In base 14, what is -2434d355 - 2? -2434d357 In base 12, what is 58 + 30899? 30935 In base 12, what is -219093 - 67? -21913a In base 15, what is 1c0 - -47408? 475c8 In base 14, what is -a21b8 + -18? -a21d2 In base 16, what is -1 + a613978? a613977 In base 8, what is 1111 - 2116165? -2115054 In base 7, what is -21 + -225235140? -225235161 In base 6, what is 1104352 - 1430? 1102522 In base 4, what is -101031 + -101222111? -101323202 In base 12, what is a38 - 13447? -1260b In base 6, what is 33411213 - 53? 33411120 In base 12, what is a8 + 6215? 6301 In base 7, what is -26 - -105204304? 105204245 In base 14, what is 804 - 66ab3? -662ad In base 5, what is 0 + 14122113? 14122113 In base 2, what is 100 + -10101001101110111011111000111? -10101001101110111011111000011 In base 12, what is b5963a + a? b59648 In base 13, what is 4152 + -1a47? 2408 In base 12, what is 1 - 515211? -515210 In base 11, what is aa2 + -32666? -31674 In base 13, what is 7a - -221c94? 222041 In base 15, what is -15488 - -141? -15347 In base 2, what is 10 - 10011100000011100010111? -10011100000011100010101 In base 10, what is -254802 + 66? -254736 In base 11, what is 8217 - 12061? -4945 In base 4, what is -2210011 - -33302? -2110103 In base 7, what is 6105263 - -640? 6106233 In base 11, what is 163 - 19286? -19123 In base 10, what is 572283 - 38? 572245 In base 14, what is -23d44a + 236? -23d214 In base 7, what is 1024606010 - -1? 1024606011 In base 7, what is 130 - -3220432? 3220562 In base 3, what is -1122012001121111201 + 2? -1122012001121111122 In base 5, what is 13 - -131203144? 131203212 In base 13, what is 70 + -63c118? -63c078 In base 14, what is -6aa0 + 21c4? -48ba In base 13, what is 1 - -2b041639? 2b04163a In base 14, what is -11103 - 139? -1123c In base 7, what is 5526601 - -4? 5526605 In base 8, what is -330755050 - -3? -330755045 In base 2, what is 100110 - -11011101011110010110001? 11011101011110011010111 In base 10, what is 3 + 1069219? 1069222 In base 7, what is -433 - 511536? -512302 In base 11, what is 62 - -522103? 522165 In base 12, what is -80b9b - -2553? -7a648 In base 13, what is -445cb - -a10? -438bb In base 15, what is -15764 + -85? -157e9 In base 9, what is 31 + -454105? -454064 In base 9, what is 7 - -12557806? 12557814 In base 10, what is 4508 + 10909? 15417 In base 6, what is -3 - 3154330202? -3154330205 In base 6, what is -12 + 52131220? 52131204 In base 13, what is -24a5400 - -6? -24a53c7 In base 3, what is 12 + -121210022102? -121210022020 In base 11, what is 22 + -63464? -63442 In base 14, what is 38 - ac829? -ac7d1 In base 6, what is 3 - -11141054? 11141101 In base 14, what is -100 - 2a992? -2aa92 In base 14, what is 16 + -135d79? -135d63 In base 16, what is 13ada0 - -60? 13ae00 In base 7, what is -4 + -1564413321? -1564413325 In base 8, what is 3314 - -221? 3535 In base 4, what is -3122012033 - -3? -3122012030 In base 8, what is 5 - -540301157? 540301164 In base 8, what is -24 + -172540? -172564 In base 11, what is -31a12224 + 2? -31a12222 In base 13, what is 21a5 - 1a144? -17c6c In base 11, what is 3 + 84567a4? 84567a7 In base 8, what is 5415232 + -4? 5415226 In base 4, what is 0 - -113322010330? 113322010330 In base 14, what is -426dd - 17? -42716 In base 16, what is b - 225ff6? -225feb In base 2, what is -111101100100110101110011 - 11001? -111101100100110110001100 In base 13, what is -468a - 3c94? -8651 In base 3, what is -1 - 101000100011022? -101000100011100 In base 3, what is -201 - -1010212120102? 1010212112201 In base 12, what is -427b5 + -1580? -44175 In base 16, what is 7e25 - -150? 7f75 In base 13, what is -a42aa1c - -2? -a42aa1a In base 12, what is -a81a + -3b? -a859 In base 16, what is 2a54e7 + -4? 2a54e3 In base 3, what is 102002220121102 - 12? 102002220121020 In base 6, what is 0 - 10241103205? -10241103205 In base 7, what is -102 - 13644324? -13644426 In base 2, what is -1101 - -1001110011111000010? 1001110011110110101 In base 11, what is 21 - 4608708? -4608697 In base 12, what is 3 + 1652519? 1652520 In base 4, what is 200 + 13123122? 13123322 In base 4, what is -22113033 - 132122? -22311221 In base 5, what is 3024212 + -1012? 3023200 In base 8, what is -2743 + -41074? -44037 In base 10, what is -422 + 28223? 27801 In base 16, what is -41ccd - 163? -41e30 In base 4, what is -1220023 - 1033? -1221122 In base 11, what is -4 - -31a9754? 31a9750 In base 7, what is 10 + -15431465? -15431455 In base 13, what is -18b8c17 - 5? -18b8c1c In base 3, what is -102111120211001220 - -2? -102111120211001211 In base 5, what is 2240040034 - -21? 2240040110 In base 15, what is 6c173 - 20b? 6be67 In base 14, what is -85 - 862d? -86b4 In base 9, what is -12314 + 12263? -41 In base 14, what is -513204 + 5? -5131dd In base 7, what is -2 + 23133301? 23133266 In base 9, what is -6 + 3677271? 3677264 In base 12, what is -84b0 + a836? 2346 In base 4, what is -2333232101 - 111? -2333232212 In base 4, what is 1020 - -23332333? 30000013 In base 13, what is -9 + -713ac2? -713acb In base 10, what is -4796143 + 0? -4796143 In base 2, what is -1111101 + 111110110101111? 111110100110010 In base 11, what is 0 + 4279559? 4279559 In base 2, what is 1101110110000101010 + 11111110? 1101110110100101000 In base 7, what is -153665024 - -4? -153665020 In base 3, what is -12221111001 - 12222212? -20011110220 In base 13, what is 2 - -1453a314? 1453a316 In base 8, what is 15 + -2617551? -2617534 In base 12, what is 2 + -604b8a? -604b88 In base 2, what is 1000100011010 + 101111101011? 1110100000101 In base 8, what is 5073 - -452704? 457777 In base 7, what is -5 - 1115636552? -1115636560 In base 6, what is 5 + 105505420314? 105505420323 In base 2, what is 1001100101011101000100001 + 1? 1001100101011101000100010 In base 12, what is 6b34b1 + 9a? 6b358b In base 12, what is 1 + -346a36? -346a35 In base 12, what is -42828b + 250? -42803b In base 4, what is -112021110013 - 2? -112021110021 In base 4, what is 33201221 - -2221? 33210102 In base 16, what is 2f153 - 187? 2efcc In base 7, what is -215341131 - 2? -215341133 In base 5, what is -3 - 1320042240? -1320042243 In base 10, what is 1106334 + -6? 1106328 In base 12, what is 723293 + -2? 723291 In base 7, what is 1 - -1101545352? 1101545353 In base 13, what is 2 - -16025? 16027 In ba
{ "pile_set_name": "DM Mathematics" }
e remainder when 170 is divided by 168? 2 Calculate the remainder when 1164 is divided by 73. 69 Calculate the remainder when 7485 is divided by 24. 21 What is the remainder when 41 is divided by 12? 5 What is the remainder when 299 is divided by 5? 4 What is the remainder when 8188 is divided by 42? 40 Calculate the remainder when 91 is divided by 8. 3 Calculate the remainder when 393 is divided by 102. 87 Calculate the remainder when 129 is divided by 87. 42 Calculate the remainder when 1640 is divided by 313. 75 Calculate the remainder when 1255 is divided by 219. 160 What is the remainder when 366 is divided by 124? 118 Calculate the remainder when 842 is divided by 33. 17 What is the remainder when 370 is divided by 49? 27 What is the remainder when 79 is divided by 26? 1 What is the remainder when 73 is divided by 29? 15 What is the remainder when 3110 is divided by 526? 480 Calculate the remainder when 242 is divided by 31. 25 Calculate the remainder when 156 is divided by 10. 6 Calculate the remainder when 251 is divided by 23. 21 What is the remainder when 13030 is divided by 362? 360 Calculate the remainder when 1999 is divided by 26. 23 What is the remainder when 3033 is divided by 217? 212 What is the remainder when 1036 is divided by 173? 171 What is the remainder when 1857 is divided by 201? 48 Calculate the remainder when 37 is divided by 33. 4 Calculate the remainder when 102201 is divided by 137. 136 What is the remainder when 5605 is divided by 32? 5 What is the remainder when 215 is divided by 11? 6 What is the remainder when 745 is divided by 23? 9 What is the remainder when 476 is divided by 164? 148 Calculate the remainder when 24937 is divided by 153. 151 What is the remainder when 1183 is divided by 317? 232 Calculate the remainder when 228 is divided by 120. 108 What is the remainder when 3333 is divided by 12? 9 Calculate the remainder when 869 is divided by 30. 29 Calculate the remainder when 736 is divided by 67. 66 What is the remainder when 1510 is divided by 187? 14 Calculate the remainder when 20136 is divided by 95. 91 What is the remainder when 93 is divided by 40? 13 Calculate the remainder when 697 is divided by 70. 67 What is the remainder when 1446 is divided by 23? 20 What is the remainder when 42 is divided by 30? 12 Calculate the remainder when 447 is divided by 16. 15 What is the remainder when 89 is divided by 23? 20 What is the remainder when 92 is divided by 10? 2 What is the remainder when 5940 is divided by 17? 7 What is the remainder when 1819 is divided by 52? 51 What is the remainder when 34 is divided by 22? 12 What is the remainder when 39 is divided by 27? 12 What is the remainder when 147 is divided by 65? 17 What is the remainder when 250 is divided by 61? 6 What is the remainder when 1 is divided by 1? 0 Calculate the remainder when 912 is divided by 257. 141 What is the remainder when 5539 is divided by 23? 19 Calculate the remainder when 165 is divided by 165. 0 What is the remainder when 217 is divided by 20? 17 What is the remainder when 452 is divided by 57? 53 Calculate the remainder when 880 is divided by 438. 4 What is the remainder when 1037 is divided by 8? 5 What is the remainder when 47 is divided by 45? 2 What is the remainder when 3046 is divided by 127? 125 What is the remainder when 1779 is divided by 3? 0 Calculate the remainder when 56 is divided by 15. 11 What is the remainder when 4619 is divided by 22? 21 What is the remainder when 2381 is divided by 92? 81 Calculate the remainder when 43 is divided by 34. 9 What is the remainder when 583 is divided by 73? 72 What is the remainder when 548 is divided by 208? 132 Calculate the remainder when 1029 is divided by 94. 89 Calculate the remainder when 2721 is divided by 904. 9 What is the remainder when 101 is divided by 21? 17 What is the remainder when 33 is divided by 30? 3 Calculate the remainder when 47 is divided by 15. 2 Calculate the remainder when 650 is divided by 387. 263 What is the remainder when 35 is divided by 25? 10 Calculate the remainder when 11640 is divided by 142. 138 What is the remainder when 76 is divided by 29? 18 Calculate the remainder when 12497 is divided by 266. 261 Calculate the remainder when 8646 is divided by 94. 92 Calculate the remainder when 2158 is divided by 40. 38 What is the remainder when 158 is divided by 21? 11 Calculate the remainder when 7522 is divided by 36. 34 Calculate the remainder when 1269 is divided by 106. 103 Calculate the remainder when 716 is divided by 103. 98 Calculate the remainder when 51 is divided by 42. 9 What is the remainder when 2272 is divided by 383? 357 Calculate the remainder when 1624 is divided by 292. 164 Calculate the remainder when 662 is divided by 9. 5 Calculate the remainder when 113 is divided by 19. 18 Calculate the remainder when 3788 is divided by 10. 8 Calculate the remainder when 125 is divided by 20. 5 Calculate the remainder when 286 is divided by 83. 37 What is the remainder when 374 is divided by 63? 59 Calculate the remainder when 831 is divided by 16. 15 Calculate the remainder when 43 is divided by 19. 5 What is the remainder when 199 is divided by 64? 7 What is the remainder when 47 is divided by 6? 5 Calculate the remainder when 360 is divided by 176. 8 What is the remainder when 347 is divided by 58? 57 What is the remainder when 627 is divided by 41? 12 Calculate the remainder when 3741 is divided by 48. 45 Calculate the remainder when 5129 is divided by 90. 89 Calculate the remainder when 116 is divided by 36. 8 What is the remainder when 31 is divided by 4? 3 Calculate the remainder when 82 is divided by 8. 2 Calculate the remainder when 2803 is divided by 27. 22 Calculate the remainder when 605 is divided by 154. 143 Calculate the remainder when 1002 is divided by 67. 64 Calculate the remainder when 91 is divided by 19. 15 What is the remainder when 261 is divided by 101? 59 Calculate the remainder when 196 is divided by 18. 16 What is the remainder when 37 is divided by 14? 9 Calculate the remainder when 227 is divided by 59. 50 What is the remainder when 59 is divided by 21? 17 Calculate the remainder when 6662 is divided by 238. 236 What is the remainder when 332 is divided by 104? 20 Calculate the remainder when 580 is divided by 271. 38 What is the remainder when 58 is divided by 9? 4 Calculate the remainder when 160 is divided by 18. 16 Calculate the remainder when 1812 is divided by 37. 36 What is the remainder when 360 is divided by 129? 102 What is the remainder when 2726 is divided by 27? 26 What is the remainder when 619 is divided by 89? 85 What is the remainder when 2605 is divided by 29? 24 Calculate the remainder when 2564 is divided by 9. 8 What is the remainder when 744 is divided by 109? 90 Calculate the remainder when 1418 is divided by 462. 32 What is the remainder when 1048 is divided by 50? 48 Calculate the remainder when 384 is divided by 118. 30 What is the remainder when 734 is divided by 41? 37 Calculate the remainder when 894 is divided by 24. 6 What is the remainder when 87 is divided by 36? 15 What is the remainder when 2408 is divided by 10? 8 Calculate the remainder when 277 is divided by 20. 17 Calculate the remainder when 5155 is divided by 215. 210 What is the remainder when 13847 is divided by 171? 167 What is the remainder when 1539 is divided by 67? 65 What is the remainder when 2383 is divided by 201? 172 Calculate the remainder when 4016 is divided by 38. 26 What is the remainder when 333 is divided by 42? 39 Calculate the remainder when 906 is divided by 3. 0 Calculate the remainder when 97 is divided by 9. 7 Calculate the remainder when 278 is divided by 14. 12 Calculate the remainder when 1013 is divided by 26. 25 Calculate the remainder when 35 is divided by 16. 3 Calculate the remainder when 746 is divided by 22. 20 What is the remainder when 142 is divided by 73? 69 What is the remainder when 64 is divided by 10? 4 What is the remainder when 71 is divided by 65? 6 Calculate the remainder when 684 is divided by 655. 29 Calculate the remainder when 64 is divided by 11. 9 Calculate the remainder when 664 is divided by 287. 90 What is the remainder when 55793 is divided by 26? 23
{ "pile_set_name": "DM Mathematics" }
nearest to 0? (a) 0.41 (b) -2/19 (c) -2 b Which is the nearest to -1/4? (a) 0.4 (b) 0 (c) -2 (d) 53 b Which is the closest to -2? (a) -3/5 (b) -2/7 (c) 10 a What is the closest to -1/2 in -86, 4, 2/5? 2/5 What is the closest to -1/5 in 3/2, 2/3, 11? 2/3 What is the nearest to 1 in 1, -9, 0, 2/27? 1 What is the closest to 0 in -10, 0.087, 6? 0.087 What is the nearest to 1/2 in 3, 116, 1/2, -1? 1/2 Which is the closest to 1? (a) -0.2 (b) -4 (c) 0.1 (d) 0.9 d Which is the nearest to 3? (a) 2/3 (b) 10 (c) -5 (d) -2/5 a Which is the nearest to 3/4? (a) -4 (b) -2 (c) -29/3 (d) -5 b What is the closest to 6 in -5/4, 377, 2? 2 Which is the closest to 1? (a) 2 (b) -2 (c) 0.05 (d) -4 c Which is the closest to 1? (a) 16 (b) 3/16 (c) -3 b Which is the nearest to 5.3? (a) 7 (b) -4 (c) -2/5 (d) 2/19 a Which is the closest to -0.2? (a) -2/13 (b) -2/7 (c) 3/2 (d) 1/12 a Which is the nearest to 0.1? (a) 0 (b) -3/5 (c) -15 a What is the closest to 0.6 in 0.4, 0.2, 1/6, -5? 0.4 What is the nearest to 0.2 in 0.2, -1/7, -0.5, 1/15? 0.2 Which is the closest to 1/3? (a) -4 (b) -1/9 (c) 7 b What is the closest to -2 in 3, 2, -1/2, -2? -2 What is the closest to -0.04 in -6/5, 2, 1/3? 1/3 Which is the nearest to -2? (a) -2 (b) -1/2 (c) 1/25 (d) 0.08 a Which is the nearest to -2/25? (a) 0.2 (b) -1/3 (c) -2 b Which is the nearest to 1? (a) -0.4 (b) -2 (c) -6 a Which is the closest to 1/2? (a) -1/3 (b) 3/7 (c) -136 b What is the nearest to 0.4 in 0.19, -2/9, -2/5, 1/5? 1/5 What is the nearest to -2/5 in -2/13, -7, 1/3? -2/13 Which is the nearest to -2/3? (a) 4/15 (b) -0.3 (c) -1/9 (d) 0 b Which is the closest to -8/9? (a) 1/3 (b) 1/4 (c) 3 (d) 6 b What is the closest to 0.1 in -3, -1/8, 0.02? 0.02 Which is the closest to 1/6? (a) 0.5 (b) 0.08 (c) -2/3 (d) -2/5 b Which is the closest to 13? (a) 4 (b) 1/6 (c) 5 (d) -4 c What is the nearest to -0.7 in 0, 29, -4, -1/2? -1/2 Which is the nearest to -2? (a) 5 (b) -0.2 (c) -15.9 (d) 2 b Which is the nearest to 0? (a) -0.03 (b) 0.2 (c) -2 (d) 4 a What is the closest to -0.06 in 14, 1/3, -4? 1/3 What is the nearest to 1/3 in 0.2, 149, 0.06, -3? 0.2 What is the nearest to 1 in 2/61, -2/9, 3? 2/61 What is the closest to -1 in -2, 4, -1, -15? -1 What is the nearest to -1 in 1, -4, -7, 0.5? 0.5 Which is the closest to -1? (a) -0.3 (b) 1 (c) -2/5 (d) -1/3 c Which is the nearest to 2? (a) 3 (b) -242 (c) -1/3 a Which is the closest to -2? (a) -61 (b) -10/3 (c) -4 b Which is the closest to -2/3? (a) -68 (b) -1 (c) -0.5 c What is the nearest to 1/5 in 6, -4, -5, -13? -4 Which is the nearest to 0? (a) 144 (b) -5 (c) -0.4 c Which is the nearest to 1/3? (a) 1/4 (b) -3 (c) -0.2 (d) 2292 a Which is the nearest to -25? (a) -0.2 (b) -0.06 (c) 3 (d) -1 d Which is the nearest to 1? (a) 4 (b) 1 (c) 0.1 (d) 5 b Which is the nearest to -4? (a) 4 (b) 3 (c) -2/3 c What is the nearest to -2/5 in -5, -55, -2/13, 0.2? -2/13 Which is the nearest to 0.1? (a) -0.1 (b) 1 (c) 3 (d) -25 a Which is the closest to -0.19? (a) 0.5 (b) -2 (c) 1/3 (d) 4 c What is the closest to -1.4 in -4, -2/23, 5? -2/23 What is the nearest to -5 in -0.3, 1/4, -22? -0.3 What is the nearest to 5 in 0.2, -18, -3/7? 0.2 What is the closest to -0.1 in 1/7, 0.3, 0, 2/5? 0 What is the closest to -1/4 in 0.4, 2/7, 6? 2/7 What is the closest to 1/2 in 0.2, 2/27, 3? 0.2 What is the closest to 0.3 in -218, -2, -5? -2 Which is the closest to -62? (a) 0.1 (b) -5 (c) -0.1 (d) -0.2 b What is the closest to 1/5 in -3, -1/4, -0.5, -0.3? -1/4 What is the closest to -0.3 in -2/7, 0.23, -6, 1/4? -2/7 Which is the closest to 1/15? (a) 0.5 (b) -2 (c) 3 (d) -0.07 d What is the nearest to 1/7 in 2/3, 4, -8? 2/3 Which is the closest to -1? (a) 1 (b) -2/13 (c) 5 b Which is the nearest to 3? (a) -1/2 (b) 5 (c) 0.85 b Which is the closest to -1/4? (a) 1 (b) -3 (c) 3/11 (d) 17 c Which is the closest to 0? (a) 2 (b) 12 (c) 3 a Which is the nearest to 1? (a) 0 (b) 3 (c) 4/5 (d) 122 c Which is the closest to -1? (a) -0.2 (b) -1/16 (c) 0.3 (d) 2 a What is the nearest to -0.2 in -1/4, -9/11, 2/15, -0.24? -0.24 Which is the closest to -6/13? (a) -0.392 (b) 3 (c) -2/7 a What is the closest to 2/5 in 4, -0.2, -2/7, -0.33? -0.2 Which is the nearest to -3? (a) 4 (b) 0.0928 (c) 0.5 b What is the nearest to 7 in 1, -4, -2? 1 Which is the closest to -0.054? (a) -5 (b) -0.4 (c) 1/2 (d) -4 b Which is the closest to -0.1? (a) 5 (b) 2/61 (c) -3 (d) 2 b Which is the closest to 1? (a) -1.7 (b) -1 (c) 0.4 (d) -4/5 c Which is the nearest to -2? (a) 5 (b) -0.3 (c) 3/10 (d) -3/4 d Which is the nearest to 1/4? (a) 3/7 (b) 1/10 (c) 5 (d) 3 b Which is the nearest to -12.06? (a) 0.4 (b) -4 (c) -1/11 b Which is the closest to 4/7? (a) 2 (b) -2/11 (c) 0 c Which is the closest to 18? (a) -0.2 (b) 3/8 (c) 4 c What is the nearest to 7 in -0.2, -1/9, 1/7, -5? 1/7 What is the closest to 0 in 0.4, 1/3, -2, -36? 1/3 Which is the closest to 0? (a) 330 (b) -1 (c) 0 c Which is the closest to -0.06? (a) 1/2 (b) 2 (c) -0.2 (d) 0.1 c Which is the closest to 2/7? (a) -0.5 (b) 4 (c) 2 (d) 2/19 d What is the nearest to 1 in -90, -1/3, -8? -1/3 What is the closest to -3/5 in 0.3, -0.3, -4, 1/6? -0.3 What is the closest to 1 in 3/7, 6, 0.2, 0.8? 0.8 Which is the nearest to 1? (a) 2/3 (b) -0.1 (c) -8.1 a Which is the closest to -38? (a) 0 (b) 0.4 (c) -3 (d) 1/15 c Which is the closest to 1? (a) -3/7 (b) 1/2 (c) 4 (d) 2/17 b Which is the closest to -0.03? (a) -1 (b) 0 (c) 0.4 b Which is the nearest to 0? (a) -0.2 (b) 1/2 (c) 2/9 (d) -2 a What is the closest to 0.8 in 4.4, 2, 6/11, 3? 6/11 Which is the nearest to -2/13? (a) -3 (b) 60 (c) -1 (d) 2/27 d What is the nearest to -519 in 4/9, -1, 1, 2/3? -1 What is the nearest to -7 in -88, -2/9, 0.4? -2/9 Which is the closest to 1? (a) -3 (b) 20/147 (c) 1/11 b What is the nearest to -5 in -3/2, 2, 4, 0.6? -3/2 Which is the closest to -1? (a) 4/67 (b) -2 (c) 1/5 (d) 5 b Which is the closest to 1/192? (a) 5 (b) 1/5 (c) 3 b What is the closest to 108 in -1/19, 1/3, -0.3? 1/3 Which is the nearest to 7/8? (a) 0.1 (b) -3 (c) -0.6 a What is the closest to -1 in -4.4, 0, 15, -0.3? -0.3 What is the closest to -4 in -3, -3/2, -35? -3 What is the closest to -1 in 1/3, -2, -3/2, -1/13? -3/2 Which is the closest to -0.31? (a) -4 (b) 0 (c) -0.21 c What is the nearest to -2/21 in 5, -0.5, -2/11, -12? -2/11 What is the closest to 0.5 in -3.17, 3, -0.1, -3? -0.1 What is the nearest to -2 in -4/5, 10, 0? -4/5 What is the closest to -0.3 in 417, -2/15, -0.4, 2/5? -0.4 What is the closest to 2/7 in 1/4, 0.5, 295? 1/4 Which is the closest to -2/9? (a) 2/7 (b) -2 (c) -0.035 c What is the nearest to -0.3 in -1, -1/3, 3, -803? -1/3 What is the closest to -2 in 2, -307, 2/13, -3/7? -3/7 What is the nearest to 0.1 in -0.2, 16/5, 1/6, 0.1? 0.1 Which is the nearest to -65? (a) 2/7 (b) -4 (c) -2 b Which is the nearest to -1/15? (a) 0 (b) -3/4 (c) 5 a Which is the closest to -0.1? (a) -23/5 (b) -4/9 (c) -2/11 (d) -2/7 c Which is the nearest to -1? (a) -5 (b) 2/7 (c) -4/3 c Which is the nearest to -1? (a) 1/4 (b) 2/1811 (c) -4 b Which is the nearest to 4.2? (a) 1 (b) 8 (c) 5 c What is the closest to -3 in -2, -1, -2/3, 5? -2 Which is the nearest to -8? (a) 1/8 (b) 2 (c) 0 (d) 6/7 c Which is the closest to -1? (a) 5/3 (b) 0 (c) 44 b What is the nearest to 1 in 0.3, 4, 0.2? 0.3 Which is the nearest to 1? (a) 241 (b) -6/23 (c) 2 c Which is the nearest to 0? (a) 5 (b) 2/5 (c) -0.3 (d) -1/9 d Which is the nearest to 0? (a) -2.5 (b) 3 (c) -0.1 c Which is the nearest to 2? (a) 4 (b) 1/14 (c) 2/11 c Which is the closest to -1? (a) -1 (b) -3/8 (c) -3 (d) -1.2 a Which is the nearest to -2/7? (a) -24 (b) -5 (c) -1 c Which is the closest to 2? (a) -4/27 (b) 2.9 (c) 4 (d) 0.4 b Which is the nearest to 1/2? (a) -5/4 (b) -1 (c) -2/9 c What is the nearest to -1/29 in 0.05, -4, -0.4, -1? 0.05 What is the nearest to 5/13 in 0.3, 3, 23? 0.3 What is the nearest to -1 in 0.3, 2/5, 4/3, 3/7? 0.3 What is the closest to -0.2 in -14, 0.1, -1/3? -1/3 What is the nearest to 2 in -24,
{ "pile_set_name": "DM Mathematics" }
0.5, -7/18? 0.5 What is the nearest to -240 in -1/15, -2, -8/3? -8/3 Which is the nearest to -16? (a) 405 (b) -0.4 (c) 0 (d) 4 (e) -3 e Which is the nearest to 1.5? (a) -1/4 (b) 10 (c) -4 (d) -2/85 d Which is the nearest to 0.1? (a) 172 (b) -1/7 (c) 0 (d) 4/3 c Which is the nearest to -116? (a) -4.74 (b) -1/2 (c) 1/4 a Which is the closest to -10? (a) -5 (b) -9 (c) 58 (d) -0.2 b Which is the closest to -9/4? (a) -8/7 (b) -12 (c) 0.4 a What is the nearest to 1 in -6, -0.5, -21/29? -0.5 Which is the nearest to -0.5? (a) 5 (b) 11 (c) -4 (d) 1665 (e) -1/4 e Which is the nearest to 1/5? (a) 0.52 (b) -2912 (c) -0.3 a Which is the nearest to 24.8? (a) -4 (b) -2 (c) 1/7 (d) 4 (e) 1 d What is the closest to 0.1 in -315.9, 3, -3, -1/3? -1/3 Which is the closest to 1/2? (a) 4/5 (b) -24 (c) -0.1 (d) -1 (e) 85 a Which is the nearest to 39/4? (a) 4 (b) 1 (c) 0 (d) 5 (e) -30 d What is the nearest to 0.1 in 1/9, 7, 2, -19? 1/9 What is the nearest to -1 in -138/13, 2/5, 0? 0 What is the closest to 3 in 2, 1/2, -0.1, 40/63? 2 Which is the nearest to 0? (a) -4 (b) -1 (c) -2 (d) 2/11 (e) -2967 d Which is the nearest to -2/5? (a) 1/3 (b) 1.2 (c) 109 (d) 4 a What is the closest to -2/399 in -2, 15/2, -0.3, -3/5? -0.3 What is the nearest to -3/2 in -0.2, 5, 0.3, -2/13, 2? -0.2 Which is the nearest to 0.1? (a) 0.21 (b) -20/3 (c) 0.5 (d) 0.2 d What is the nearest to -1/3 in -5, 0.5, -14/3? 0.5 Which is the nearest to 2/5? (a) 1984 (b) -0.3 (c) -4 b What is the nearest to -0.1 in 260, -124, -2/15? -2/15 Which is the closest to 2? (a) -916 (b) -1/10 (c) 1 (d) -3/8 (e) 0.019 c Which is the closest to -1/4? (a) -2 (b) 0.01 (c) -1/3 (d) 3 (e) -0.002 c What is the closest to -3 in 0.08, 0.3, -3547/2, -1/4? -1/4 Which is the closest to 0? (a) -68 (b) -5 (c) 5/6 (d) -1/4 d What is the nearest to 15 in 0.3, 2.5, 2/9? 2.5 What is the closest to -32/777 in 1, -1, 2? -1 What is the nearest to -1.5 in 0.26209, 1, -1? -1 What is the nearest to -0.6 in -58, 5, 2, 0.18? 0.18 What is the nearest to -0.64 in -4, -15, 5/4, 2/19? 2/19 What is the nearest to -1 in -2/3, 86/157, 3, 0.5, -1? -1 Which is the nearest to -2/7? (a) 736 (b) 0.3 (c) -7 (d) -5 b Which is the nearest to -0.1? (a) -0.1 (b) -4 (c) -46 (d) 2/9 a What is the closest to -4/17 in -199, -1/2, -1, -4, 9? -1/2 What is the nearest to 5 in 2, 5, 4/5, 22/3? 5 Which is the closest to -1/2? (a) 3/8 (b) -12 (c) 0 (d) -0.1 (e) -5 d What is the closest to -0.2 in -0.1, 0.1, -5, -411.3? -0.1 What is the nearest to -2/5 in -3/5, 11, -2, 12/61? -3/5 Which is the closest to -1/4? (a) -4 (b) 457 (c) 22 a Which is the nearest to 1? (a) -40 (b) -4 (c) 7 b What is the nearest to -18 in 10/7, 2/3, 109? 2/3 Which is the nearest to 15? (a) -5 (b) 1/7 (c) -2 (d) 5 (e) 3/4 d Which is the closest to -12/7? (a) 1/4 (b) 5 (c) 1 (d) 2 (e) 559 a What is the closest to 0.2 in -2/5, 8/7, 3/8? 3/8 Which is the nearest to -2/5? (a) -4 (b) 56 (c) -6 a Which is the closest to 1/7? (a) -655 (b) 0.4 (c) 4 (d) -3 b Which is the nearest to -2? (a) -1 (b) -2 (c) 3.9 (d) -14/27 b What is the closest to -1 in -1355, 8/7, 0.14? 0.14 What is the closest to -2/11 in 1.84, -0.2, 90/17? -0.2 What is the closest to -2/7 in -95, 0.7, 2, -3/7? -3/7 What is the nearest to 0.01 in -0.2, 4, 22? -0.2 What is the nearest to -1/4 in -4, -5, 530, 3/16, 0.1? 0.1 Which is the closest to -4? (a) 10 (b) 4 (c) -2/113 c Which is the nearest to 0.5? (a) -831.5 (b) 0 (c) 4 (d) -8 b What is the closest to 0 in 2/3, 0.6, -2, 677, -0.06? -0.06 What is the nearest to 0.024 in -2/7, 32, -26, -2? -2/7 Which is the nearest to 11/6? (a) 2/3 (b) -1912 (c) 0 (d) 0.2 (e) -2/3 a What is the nearest to 1/5 in 1, 16, 17? 1 What is the closest to 2/5 in 16, -13, -4, 36? -4 What is the closest to -170/167 in -0.2, -5/4, -3? -5/4 What is the nearest to 0 in -4, -634, -54? -4 What is the nearest to 1/3 in 12/5, -263, 0.3? 0.3 Which is the nearest to -2/3? (a) -142 (b) -0.1 (c) 0.31 b What is the nearest to 0.1 in -2, -3/16, 248, 0.38, 2? 0.38 Which is the closest to -1/3? (a) -199 (b) -4 (c) 4 b What is the nearest to -15 in -3, -3/5, 1, 0.5? -3 What is the closest to 1 in -0.19, 4/7, 0.2, 90? 4/7 What is the nearest to -1 in 0.06, 0, -0.7, -1008? -0.7 Which is the closest to 1? (a) -0.2 (b) 0.1 (c) -2 (d) -0.0244 (e) 0.8 e Which is the nearest to 4? (a) -12 (b) -2.7 (c) 0.4 (d) -5 c Which is the closest to 45? (a) -1/5 (b) -5/2 (c) -7 (d) -2/5 (e) -3 a Which is the closest to -2/9? (a) 1/9 (b) -1/63 (c) 1/37 (d) 0 (e) -0.5 b What is the nearest to -1091 in 2/25, -1/6, 1/5? -1/6 Which is the nearest to -1? (a) 1/3 (b) -14/13 (c) 3 (d) 0.5 (e) 15/8 b What is the closest to 0 in 6, -3, -2, -13? -2 Which is the nearest to 1? (a) 0 (b) -0.1 (c) 13/34 (d) 3 c What is the closest to 2 in -0.2, -0.14, -2, -1/3, 0.2? 0.2 What is the closest to -3 in -2, 5, -2/3, 0.03? -2 What is the nearest to 3 in -3/7, -0.3, 0.4, -0.2, 4054? 0.4 What is the closest to -27/5 in 0, 0.22, -1, 5, 95? -1 Which is the nearest to -125? (a) -5 (b) 4 (c) -1/2 (d) -4/3 (e) -21 e Which is the closest to 5? (a) 0.6 (b) -0.21 (c) -0.2 a Which is the nearest to -248? (a) -0.3 (b) 5 (c) -2/7 (d) -1 d Which is the nearest to -1/19? (a) 2/13 (b) 0.1 (c) 1 (d) 1/6 b What is the closest to -4/3 in 0.2, 8, -0.3, -22.6, -5? -0.3 What is the nearest to -0.1 in 3, 0.2, -4, -245, 4? 0.2 Which is the nearest to -10? (a) -0.074 (b) 0.4 (c) 3 (d) 6/13 a Which is the nearest to 1/3? (a) 118 (b) 18 (c) 0.1 c Which is the nearest to 0.1? (a) 0.8 (b) -10 (c) -1 (d) 3/5 (e) -26 d Which is the nearest to 1? (a) 2/27 (b) 5 (c) -22 (d) 0.07 a What is the nearest to -1 in 53, -0.014, -0.17, 1? -0.17 Which is the closest to -25? (a) 0.1 (b) -0.054 (c) 8 b What is the nearest to -2/5 in 0.5, 4/7, 1/948? 1/948 Which is the nearest to 1? (a) -1/5 (b) 1/4 (c) -3/4 (d) 2/3 d What is the nearest to -288 in -1/2, 1, 0.1? -1/2 What is the nearest to -0.06 in -0.0209, -4, 1, -5? -0.0209 Which is the nearest to -0.93? (a) 1/2 (b) 1/4 (c) -1 (d) 2 c What is the closest to 8.5 in -2, -1, -39? -1 Which is the nearest to 1/3? (a) 4 (b) -1/9 (c) -5 (d) -0.041 (e) 24 d What is the closest to 1 in 0.4, -27, 26/19? 26/19 Which is the nearest to 1? (a) 39 (b) 1.4 (c) 0.2 (d) -0.5 (e) -1 b What is the closest to -21/4 in -2/61, 0.3, 3/2? -2/61 What is the closest to -2/7 in -2, -2/5, 0.4, 59? -2/5 What is the closest to -5/16 in -1.8, 2/5, -3/5? -3/5 Which is the nearest to 0? (a) 0.5 (b) -0.2 (c) 11/4 (d) -28 b What is the closest to -2 in -5, 5, 0.1, -0.16, 3? -0.16 Which is the nearest to -1? (a) -0.2 (b) -181 (c) -11.6 a Which is the closest to 1? (a) 1/10 (b) 4 (c) 101 (d) 0.011 (e) 5 a What is the closest to -1/4 in -1, -0.5, -265, -3/5? -0.5 Which is the nearest to 1? (a) 1 (b) 23 (c) -3 (d) 8.1 (e) -0.5 a Which is the nearest to 5? (a) -1/4 (b) -2/13 (c) -0.3 (d) 15 b What is the nearest to -2/5 in -17807, -3, -0.1? -0.1 Which is the closest to 9? (a) -11/9 (b) 0.4 (c) 1/2 (d) 3 (e) 6 e Which is the closest to 23? (a) -2 (b) -3 (c) -1 (d) 32 d Which is the nearest to 0.5? (a) -3 (b) 401 (c) -5 (d) 0 d What is the closest to -7 in 3, -12, -0.053, 0? -12 What is the closest to 4 in -5, -1/2, 0.09, 0? 0.09 Which is the nearest to -0.1? (a) 2/9 (b) 674 (c) 2/145 c Which is the closest to 2/3? (a) 2/9 (b) -0.2 (c) -0.5 (d) 69197 a What is the nearest to 0.17 in 1/5, 1, 6345, -1? 1/5 What is the nearest to -1 in -0.89, -2, 7, 2/9? -0.89 What is the nearest to -52 in -5/2, -2/11, 13, 1/2? -5/2 Which is the nearest to -4.36? (a) 3 (b) -0.05 (c) 5 (d) -0.3 (e) -28 d Which is the nearest to -1.2? (a) -2/11 (b) 3 (c) 1 (d) 37 a What is the nearest to 1/3 in 0.2, 5.5, 0.035? 0.2 What is the closest to -8 in -3, 0.3, -15, 548/9? -3 What is the closest to -8 in 0.5, 19, -2, -2/7? -2 Which is the closest to -2? (a) 10/49 (b) 0.1 (c) 0.5 (d) -0.16 d What is the nearest to 0.2 in -5, 0.1, -692, -18? 0.1 Which is the nearest to 2/3? (a) -3534 (b) -0.03 (c) -0.1 b Which is the nearest to -5? (a) 1/12 (b) -20 (c) -0.
{ "pile_set_name": "DM Mathematics" }
) = -o + 7. Let q be y(u). What is the derivative of -q + 2*f**2 + 0*f**2 - 3*f**2 wrt f? -2*f Let z be 0 + 1 + (-16)/(-4). What is the second derivative of -4 - 2*r + 4 + 0*r**z - 3*r**5 wrt r? -60*r**3 Differentiate -68*x + 15 - 3 + 6 + 17*x with respect to x. -51 Suppose -n + 3 = -4. Suppose -n*z = -2*z - 15. What is the third derivative of 0*d**3 + d**2 + 2*d**3 - 2*d**z + d**3 wrt d? 6 Let j(z) = z**2 + 3*z - 10. Let l be j(2). Let n(v) be the first derivative of l*v + 0*v**2 - 1/2*v**4 + 5/3*v**3 - 3. Find the third derivative of n(m) wrt m. -12 Let u(n) be the third derivative of -n**2 - 1/6*n**3 + 0 + 1/12*n**4 + 0*n. What is the first derivative of u(w) wrt w? 2 Let b(p) be the first derivative of 2/3*p**3 - 1/2*p**2 + 0*p + 2. What is the second derivative of b(t) wrt t? 4 Let u = 9 - 6. Find the first derivative of -2*y**4 + u*y**4 - y**4 + 4 + 3*y**4 wrt y. 12*y**3 Suppose 7*t = 2*t + 5*f + 10, 2*f = -2*t - 4. What is the second derivative of 5*j**5 + 2*j + j + t*j**5 wrt j? 100*j**3 Find the first derivative of -11 - 10 - 6*o + 3 wrt o. -6 Let k(w) = 14*w**6 + 6*w**2 + 6. Let z(i) = 29*i**6 + 12*i**2 + 13. Let r(p) = -13*k(p) + 6*z(p). Find the third derivative of r(y) wrt y. -960*y**3 Find the third derivative of 72*a**6 - 3*a**2 - 81*a**6 - 11*a**2 wrt a. -1080*a**3 Let v(k) = -15*k**2 + 29. Let b(j) = -j**2. Let a(m) = 2*b(m) - v(m). What is the derivative of a(y) wrt y? 26*y Let h(b) be the third derivative of 0*b**7 + 0*b**4 + 0*b**3 + 0*b + 0 + 3*b**2 + 0*b**6 - 1/168*b**8 - 1/60*b**5. Find the third derivative of h(t) wrt t. -120*t**2 Let q(n) be the first derivative of -n**6 + 0*n**4 + 0*n**2 + 0*n**5 - 3 + 5/3*n**3 + 0*n. Find the third derivative of q(w) wrt w. -360*w**2 Let v = 3 - 3. Suppose v = -j - j. What is the first derivative of -3*b**3 + 2*b**2 + j - 2*b**2 + 2 wrt b? -9*b**2 What is the second derivative of 21*s - 3*s - 8*s**2 + 5*s**2 wrt s? -6 What is the first derivative of -12*f - 34 + 16*f + 39*f wrt f? 43 Suppose 3 = -y - 0. Let c(r) = r**3 + 2*r**2 - 3*r + 4. Let g be c(y). What is the second derivative of -3*i**2 - g + 4 - 2*i wrt i? -6 Let q be (-3)/3*-1*8. Differentiate -3*s**2 + 0 - 1 + q with respect to s. -6*s Let q(o) = -o - 1. Let k(v) = -v + 1. Let c be k(5). Let d be q(c). What is the third derivative of -3*z**3 - 4*z**2 + 2*z**3 + 5*z**d wrt z? 24 Suppose 0*h - 5*h = -10. Suppose -2*l = 2*b - h, -3*b = 5*l - 4*l + 9. Find the second derivative of 2*f + f**5 - l*f**5 + 3*f**5 wrt f. -40*f**3 What is the derivative of -26 + 83 - 21*m**3 - 27 wrt m? -63*m**2 Let b(n) be the second derivative of 0 + 0*n**4 + 0*n**2 - 1/4*n**5 - 1/6*n**3 + n. What is the second derivative of b(l) wrt l? -30*l Let m(z) = 50*z**3 - 5*z - 123. Let l(o) = 25*o**3 - 2*o - 61. Let q(t) = 5*l(t) - 2*m(t). Differentiate q(j) with respect to j. 75*j**2 What is the third derivative of -2*s**2 + s**2 + 0*s**2 - 5*s**2 + 5*s**6 wrt s? 600*s**3 Let c(z) be the third derivative of 11*z**9/252 + z**5/4 + 15*z**2. Find the third derivative of c(j) wrt j. 2640*j**3 Let y(b) be the second derivative of 2*b**4 + 17*b**2/2 - 12*b + 3. What is the first derivative of y(n) wrt n? 48*n Find the second derivative of 70 - 25*w**4 - 8*w - 70 + 35*w wrt w. -300*w**2 Suppose 35 = 5*p + 10. Find the second derivative of g**p - 4*g + 3*g - 3*g wrt g. 20*g**3 What is the derivative of -2 + 0 - f + 12*f wrt f? 11 Let b(k) be the second derivative of k**4/12 + 3*k**2/2 - 7*k. Differentiate b(a) with respect to a. 2*a Suppose -2 = -t + 5*a, -6 = -3*t - a - a. Find the third derivative of 0*o**2 + 4*o**6 - 4*o**2 + 5*o**t wrt o. 480*o**3 Let f = 3/8 - -1/8. Let m(n) be the third derivative of -f*n**3 + n**2 + 1/30*n**5 + 0*n**4 + 0 + 0*n. Differentiate m(k) with respect to k. 4*k Let u(y) = 2*y - 5. Let f be u(4). Find the second derivative of -2*i**f + 5*i + 3*i - 3*i - 2*i wrt i. -12*i Let q(x) = 5*x**3 + 3*x**2 - 7*x. Let u(l) = 11*l**3 + 7*l**2 - 15*l. Let c = 8 - 11. Let y(g) = c*u(g) + 7*q(g). What is the second derivative of y(b) wrt b? 12*b What is the second derivative of 0*v - 6*v**2 - 25*v**2 + 18*v + 3*v**4 - 5*v**4 wrt v? -24*v**2 - 62 Let u(m) = 53*m**2 + 20. Let c(b) = -18*b**2 - 7. Let p(q) = 7*c(q) + 2*u(q). Find the first derivative of p(y) wrt y. -40*y Suppose -30 = -2*x - 3*x. What is the second derivative of -2*f - x*f + 3*f + 2*f + 5*f**5 wrt f? 100*f**3 What is the third derivative of -13*y**5 - y**2 - 2*y**2 + 5*y**2 + 2*y**2 wrt y? -780*y**2 What is the second derivative of -i**3 - 13 - 4*i + 13 wrt i? -6*i Let t be (2/6)/((-2)/(-6)). What is the first derivative of t + 7 - 1 - 4*w + 0*w wrt w? -4 Let v(t) be the first derivative of 0*t**2 + 1 + 3/4*t**4 + 0*t - t**3. Find the third derivative of v(f) wrt f. 18 Let h(y) be the third derivative of y**2 + 0*y**5 + 0 + 0*y + 1/70*y**7 + 1/2*y**3 + 0*y**4 + 0*y**6. Find the first derivative of h(t) wrt t. 12*t**3 Let j(l) = -4*l**3 + 3*l - 3. Let n(s) = -s - 1. Let z(r) = -j(r) + 3*n(r). What is the second derivative of z(d) wrt d? 24*d Let k(l) be the third derivative of l**8/112 - 7*l**5/60 - 8*l**2. What is the third derivative of k(c) wrt c? 180*c**2 What is the second derivative of 3*n**4 - 11*n**4 - 7 + 7 - 14*n wrt n? -96*n**2 Let t(a) = -7*a - a**2 + 8*a + 2*a**2 + 1. Let d(x) = 7*x**2 + 8*x + 6. Let m(s) = d(s) - 6*t(s). Find the second derivative of m(c) wrt c. 2 Let r(o) be the second derivative of o**6/120 - o**5/12 + o**2 - o. Let k(n) be the first derivative of r(n). What is the third derivative of k(b) wrt b? 6 Let g(z) be the first derivative of 17*z**5/5 + 19*z**2/2 + 6. What is the second derivative of g(u) wrt u? 204*u**2 Let g(w) be the third derivative of w**8/336 + 3*w**4/8 - 16*w**2. Find the second derivative of g(f) wrt f. 20*f**3 Let t = 4 + -14. Let z = t + 12. Find the second derivative of -2*s + s**z - 5 + 5 + s wrt s. 2 Let n = 4 - -1. Let l be n*2/(-15)*-3. What is the second derivative of 0*x - 6*x**2 - x + 3*x**2 + l*x**2 wrt x? -2 Let f(z) be the third derivative of -z**5/6 + 4*z**3/3 + 2*z**2. Differentiate f(b) with respect to b. -20*b Let j(o) = -3*o**4 - 9*o**3 + o**2 + 9*o - 9. Let t(y) = -y**4 + y**3 - y + 1. Let m(d) = -2*j(d) - 18*t(d). Find the third derivative of m(a) wrt a. 576*a Let s(d) be the third derivative of d**6/120 - 13*d**3/6 + 4*d**2. What is the first derivative of s(v) wrt v? 3*v**2 Let g = 1 - -5. Let w(k) = 4*k**3 - 9*k**2 - 6*k. Let z(i) = 7*i**3 - 17*i**2 - 11*i. Let b(p) = g*z(p) - 11*w(p). Find the third derivative of b(o) wrt o. -12 Suppose -3 = -c - 1. Let s be (-1)/c*2 + 1. Find the second derivative of -w + s*w - 3*w**2 - 2*w wrt w. -6 Let g(t) = 80*t**4 - 8*t**3 + 60*t - 8. Let r(v) = 27*v**4 - 3*v**3 + 20*v - 3. Let l(u) = 3*g(u) - 8*r(u). Find the second derivative of l(i) wrt i. 288*i**2 Let z(v) be the third derivative of 19*v**7/210 - v**3/2 + 7*v**2. What is the first derivative of z(i) wrt i? 76*i**3 Find the second derivative of 7*s**4 + 5*s + 9*s + 22*s**4 - 7*s**4 wrt s. 264*s**2 What is the second derivative of 0*u**3 - 7*u**3 + 8*u - 8*u**4 + 7*u**3 wrt u? -96*u**2 Find the second derivative of -7 + 10*t**2 - 26*t + 20 - 13 wrt t. 20 Let t = 6 + 9. Suppose w = -5*d - 3, 1 = -5*w + 4*d + t. What is the third derivative of 3*r**2 - w*r**5 + 13 - 13 wrt r? -120*r**2 Suppose 0*k - 3*k + 6 = 0. Find the third derivative of -p**2 - 2*p**5 + 4*p**k - 9*p**2 wrt p. -120*p**2 Let i(v) be the first derivative of 2*v**3 - 7 + 4/5*v**5 + 0*v**4 + 0*v + 0*v**2. Find the third derivative of i(b) wrt b. 96*b Let y(j) be the second derivative of -1/2*j**3 - 1/42*j**7 + 0*j**5 + 0*j**2 + 0*j**4 + 0 + 0*j**6 + 2*j. Find the second derivative of y(q) wrt q. -20*q**3 Differentiate 3 - 1 - 17 - 27*u**4 + 0 wrt u. -108*u**3 Let p(r) be the third derivative of 3*r**7/70 + r**4/6 - 11*r**2. What is the second derivative of p(x) wrt x? 108*x**2 Let a(g) = -13*g**5 + 3*g**3 - 26*g**2 + 3. Let d(l) = 27*l**5 - 5*l**3 + 53*l**2 - 5. Let c(x) = -5*a(x) - 3*d(x). Find the third derivative of c(q) wrt q. -960*q**2 Let t(p) = 5*p - 1. Let v be t(1). Let k(w) = -w + 12. Let u be k(10). What is the third derivative of 4*j**4 + j**v + j**u - 3*j**4 wrt j? 48*j Suppose r - 60 = -4*r. Find the third derivative of -q**3 - r - q**2
{ "pile_set_name": "DM Mathematics" }
terms in -3803*l**3 - 1006*l**3 - 587*l**3. -5396*l**3 Collect the terms in 9*v**3 - 8*v - 31*v**3 + 5*v**3 + 0*v + 8*v. -17*v**3 Collect the terms in 14*d + 66*d + 19*d - 99 + 99. 99*d Collect the terms in 407*d**3 - 9 + d**2 - 22 + 31. 407*d**3 + d**2 Collect the terms in 1 - 1 - 601*y - 6*y**3. -6*y**3 - 601*y Collect the terms in 350*n + 19*n**2 - 21*n**2 + 136*n. -2*n**2 + 486*n Collect the terms in -139064 - 139058 + 10*j - 2*j + 278124. 8*j + 2 Collect the terms in 1586884*d**2 - 528964*d**2 - 528963*d**2 - 528958*d**2. -d**2 Collect the terms in 10*z - 16*z + 59*z. 53*z Collect the terms in 4089*m + 4092*m - 12272*m + 4092*m. m Collect the terms in -397*p**3 + 133*p**3 + 135*p**3 + 128*p**3. -p**3 Collect the terms in -675 + 40*l**3 - 38*l**3 + 521. 2*l**3 - 154 Collect the terms in -x + 1 - 139*x - 1 + 311*x. 171*x Collect the terms in 38 - 3*f + 0*f + 6*f + 5*f + 8*f**2. 8*f**2 + 8*f + 38 Collect the terms in 5 + 2 - 8 - 2 + 2*z**2 - 11. 2*z**2 - 14 Collect the terms in -28*r**2 + 41*r**2 - 25*r**2. -12*r**2 Collect the terms in -172*u + 65*u + 1448 - 1450. -107*u - 2 Collect the terms in 1 + 2 - 2271*u + 2267*u - 3. -4*u Collect the terms in -37*b - 9 + 12*b + 31*b. 6*b - 9 Collect the terms in 503*u - 3774*u**3 - 503*u. -3774*u**3 Collect the terms in 9 + 8*m**2 - 49*m + 49*m - 9. 8*m**2 Collect the terms in -25 - 93*u - 34 + 59. -93*u Collect the terms in -8353 + 8344 - 73*a**2 + 13*a**2. -60*a**2 - 9 Collect the terms in 3*z**2 - 3 + 24 - 30 + 2*z**2. 5*z**2 - 9 Collect the terms in 20*s + 31*s - 93*s + 18*s + 20*s. -4*s Collect the terms in 83*r**3 + 67*r**3 + 69*r**3 - 282*r**3 + 62*r**3. -r**3 Collect the terms in -363*r - 316*r - 102*r - 627*r. -1408*r Collect the terms in -2102*s + 4196*s - 3*s**2 - 2094*s - 5*s**2. -8*s**2 Collect the terms in 922*v**2 - 1827*v**2 + 908*v**2. 3*v**2 Collect the terms in -23*z**2 - 48 - 22 + 70 - 10*z**2. -33*z**2 Collect the terms in -2489*r - 12 + 2 - 11 + 2487*r - 1. -2*r - 22 Collect the terms in -h - 28*h + 17 + 13*h - 162*h. -178*h + 17 Collect the terms in -3*u**2 + 323 + 4*u + 2*u**2 - 22*u. -u**2 - 18*u + 323 Collect the terms in -2*j**3 + 3*j**3 + 36*j**2 + 3 + 4*j**3. 5*j**3 + 36*j**2 + 3 Collect the terms in 32*q - 75*q + 15*q - 76*q. -104*q Collect the terms in 8 - 10*m + 16*m - 23*m**2 - 6*m. -23*m**2 + 8 Collect the terms in 6*g + 111010 - 111010. 6*g Collect the terms in -2*p**2 - 264620*p - 3*p**3 + 2*p**2 + 264620*p - 61. -3*p**3 - 61 Collect the terms in -294*m + 59 + 743*m - 2*m**3 - 111 + 53. -2*m**3 + 449*m + 1 Collect the terms in 7629*w**2 - 7629*w**2 - 61*w**3. -61*w**3 Collect the terms in 1396*h**2 - 17*h + 1392*h**2 - 2787*h**2. h**2 - 17*h Collect the terms in 30*s + 1 + 43*s - 69*s. 4*s + 1 Collect the terms in 431069*b**3 + 431134*b**3 - 862204*b**3. -b**3 Collect the terms in 2801*i - 433*i**2 - 2801*i + 1. -433*i**2 + 1 Collect the terms in -566*w**3 + 191*w**3 + 172*w**3 + 175*w**3. -28*w**3 Collect the terms in 80*f**2 - 101*f**2 + 21*f**2 + f**3. f**3 Collect the terms in -5 + 12 - 150*v**2 + 2*v - 130*v**2 - 14*v**2. -294*v**2 + 2*v + 7 Collect the terms in 3*f**3 - 6*f**2 - 3*f**2 + 10*f**2 + 7*f**3 + 14*f**2. 10*f**3 + 15*f**2 Collect the terms in -15 - 13 + 37 + 14*n**2 + 3*n. 14*n**2 + 3*n + 9 Collect the terms in -52*j + 5 + 90*j + 107*j - 2 - 13*j. 132*j + 3 Collect the terms in 4*s**3 + s**3 - 5*s**2 + 50 + 3*s + 5*s**2. 5*s**3 + 3*s + 50 Collect the terms in 261*r**2 - 270*r**2 + 1967*r - 1967*r. -9*r**2 Collect the terms in 3 + 5*s**3 - 5 - 5 - 4*s**3 - 21. s**3 - 28 Collect the terms in -84*d**3 + 2*d + d + 79*d**3 - 3*d. -5*d**3 Collect the terms in -13346*r + 13346*r - 3*r**2 + 1 + 9*r**2. 6*r**2 + 1 Collect the terms in -33 - 16 + 5*m + 2*m - 2*m. 5*m - 49 Collect the terms in -32 + h - 2*h + 1890 - 2*h. -3*h + 1858 Collect the terms in -386357*k**2 + 193184*k**2 + 193179*k**2. 6*k**2 Collect the terms in -73 + 55 + 6*q**3 + 52 - q**3. 5*q**3 + 34 Collect the terms in 13*u + 5 + 5*u - 14*u. 4*u + 5 Collect the terms in 2570*b**2 - 2287*b**2 - 314*b**2. -31*b**2 Collect the terms in -17943*y + 17943*y + 78*y**3. 78*y**3 Collect the terms in -16*h**2 - 1 - 4*h - 2 + 2. -16*h**2 - 4*h - 1 Collect the terms in -14*c**3 + 17643531*c**2 - 17643531*c**2. -14*c**3 Collect the terms in -247*b**2 - 313*b**2 + 510*b**2. -50*b**2 Collect the terms in 4*i**3 + 3*i**3 - 34951 + 34951. 7*i**3 Collect the terms in -7*h + 86*h + 26*h - 40*h + 17*h. 82*h Collect the terms in 0 + 5127*v + 0 - 6870*v. -1743*v Collect the terms in -36*m**3 + 8*m**3 + 27*m**3 + 64*m**3. 63*m**3 Collect the terms in 60*l**2 + 163*l**2 + 325*l**2. 548*l**2 Collect the terms in 36078*q**2 - 36078*q**2 + 72*q**3. 72*q**3 Collect the terms in -24*v**3 - 67*v + 60*v + 7*v. -24*v**3 Collect the terms in -23*d**2 - 55*d**2 - d - 55*d**2 - d + 8*d**2. -125*d**2 - 2*d Collect the terms in 5*b**2 + 17166502 - 17166502. 5*b**2 Collect the terms in 5 - 6 - 15 - 4*w**2 - 3. -4*w**2 - 19 Collect the terms in -10929*j - 160634*j - 48287*j + 10671*j. -209179*j Collect the terms in 6001386 - 6001386 + 4*f**2. 4*f**2 Collect the terms in 22*m**2 + 103452 - 103452. 22*m**2 Collect the terms in 15*j + 7527*j**2 - 31*j + 16*j. 7527*j**2 Collect the terms in -437520*s + 875047*s + 5*s**2 - 437527*s. 5*s**2 Collect the terms in a - 2*a**2 + 24 + 4*a + a**2 - a**2. -2*a**2 + 5*a + 24 Collect the terms in 2*v**3 - 738*v**2 + 12*v**3 + 754*v**2. 14*v**3 + 16*v**2 Collect the terms in -8960 + 2488 + 2487 + 3985 + c**2. c**2 Collect the terms in -13*p + 7*p**3 + 99 + 7*p - 13*p - 2*p. 7*p**3 - 21*p + 99 Collect the terms in 4844*x - 2416*x - 2427*x - 8137 + 8137. x Collect the terms in -411*s**2 - 398*s**2 + 1614*s**2 - 403*s**2 - 400*s**2. 2*s**2 Collect the terms in 44*w - 39*w**3 - 36*w**3 - 12*w + 73*w**3. -2*w**3 + 32*w Collect the terms in -109*u**3 - 35*u**3 - 104*u**3. -248*u**3 Collect the terms in -c + 0*c + 0*c + 6 + 10. -c + 16 Collect the terms in 160384*w + 160381*w - 320766*w - 39*w**2. -39*w**2 - w Collect the terms in -781*p + 264*p + 261*p + 258*p. 2*p Collect the terms in 4613 + 275*l - 4613 - 255*l. 20*l Collect the terms in 14133*x**2 - 7196*x**2 - 6938*x**2. -x**2 Collect the terms in -9304 - 87*g**2 + 993*g**2 + 9304. 906*g**2 Collect the terms in -x - 1123*x**2 + x - 49*x**2. -1172*x**2 Collect the terms in 222758 + 36*o**3 - 222758. 36*o**3 Collect the terms in 200*y**2 + 410*y**2 + 134*y**2. 744*y**2 Collect the terms in -2*r - 195*r**3 - 175*r**3 - 19*r**3 + 25*r**3. -364*r**3 - 2*r Collect the terms in -39*m - 2 - 46*m + 180*m - 45*m - 47*m. 3*m - 2 Collect the terms in 136*w**3 - 43*w**3 - 59*w**3 - 32*w**3. 2*w**3 Collect the terms in -7057*r + 12 - 12. -7057*r Collect the terms in -83*a**2 - 2566*a + 2566*a. -83*a**2 Collect the terms in -38*q**3 + 8*q**2 - 9*q**2 - 12*q**3 + 0*q**2. -50*q**3 - q**2 Collect the terms in -7 + 500*g**2 + 20 - 12. 500*g**2 + 1 Collect the terms in 100 - 39*m - 36*m + 124*m - 100 - 48*m. m Collect the terms in -36*k**3 - 57*k**3 - 314 + 91*k**3. -2*k**3 - 314 Collect the terms in -289 - 9*b + 3*b + 4*b. -2*b - 289 Collect the terms in -84*t - 79*t + 291*t - 70*t - 76*t + 22*t. 4*t Collect the terms in -703 + 703 + 10*x**2 + 16*x**2 + 10*x**2 - 42*x**2. -6*x**2 Collect the terms in -2427162 + 10*r**2 + 2427162. 10*r**2 Collect the terms in 33*n + 4*n + 42*n - 2*n. 77*n Collect the terms in 157*l - 116*l - 29*l + l. 13*l Collect the terms in 3 - 31*c - 1 + 104*c. 73*c + 2 Collect the terms in 141*l + 80*l + 144*l. 365*l Collect the terms in -3*x**3 + x**3 - 427*x**2 + 4*x**3 + 427*x**2. 2*x**3 Collect the terms in -166*p**3 - 288*p**3 + 59686 - 59686. -454*p**3 Collect the terms in 48*o - 48*o + 1854*o**2. 1854*o**2 Collect the terms in 11*d + 28*d + 0*d**3 - 9*d**3 - 39*d. -9*d**3 Collect the terms in 647*n**3 + 3752*n**2 - 3752*n**2. 647*n**3 Collect the terms in -592*t**2 + 1889*t**2 - 600*t**2 - 508*t**2. 189*t**2 Collect the terms in -12982*c**3 - 5501*c**3 - 15024*c**3. -33507*c**3 Collect the terms in 4*q**2 + 81*q - 12*q - 2*q**2 - 177*q - 110*q. 2*q**2 - 218*q Collect the terms in -120*u - 482*u - 53*u. -655*u Collect the terms in 74*t**2 - 29*t**2 - 18*t**2 - 9*t**2 - 21*t**2. -3*t**2 Collect the terms in 819*w**2 - 826 - 818*w**2 + 98
{ "pile_set_name": "DM Mathematics" }
Let g(y) = -370*y - 3696. Let h be g(-10). Solve 0 = -f - h*k - 15, -5*f + 5 - 14 = -2*k for f. -3 Let q be ((-3)/4 - (-53)/(-1060))/((-8)/220). Solve 4*m + 20 = 2*x, m + 4*m = x - q for x. 2 Let w(b) = 2*b**3 + 20*b**2 + 27*b + 4. Let l be w(-7). Suppose -l*k = -111*k + 6. Solve -2*g - k*g = 0, 10 = 2*h + 5*g for h. 5 Suppose 0 = -3*h - 4*n + 8, -5*h - 1448*n = -1449*n - 21. Solve -h*d + z - 51 + 64 = 0, -3*d + z = -11 for d. 2 Let r(v) = 1116*v - 999. Let d be r(1). Solve -b - z = -7, 0 = d*b - 120*b - 4*z + 25 for b. 3 Let t be 0*(9 + (-11)/66*51). Solve t*g - 4 = 5*g - w, -4*g = 5*w + 9 for g. -1 Let z(p) = -2*p + 18. Let w(a) = 2*a**2 - 11*a + 13. Let i be w(5). Let q be z(i). Solve -q*k - 22 = -4*n, -5*k + 2*n = -0*n + 23 for k. -3 Suppose -40*t = -9596 - 9804. Let r = t + -481. Solve r*u = 2*h - 5*h - 6, 14 = 4*h - 2*u for h. 2 Let f(j) be the third derivative of -13*j**4/24 - 47*j**3/2 + 4*j**2 + 4*j. Let r be f(-11). Solve -y + s + r = 0, -5 = -5*s + 10 for y. 5 Let m = 46 + -46. Suppose j + m = 3. Suppose d + 2 = -5*r - 14, 0 = 5*d + 4*r - 4. Solve a - 2 = -2*f, a + 0 = -j*f + d for a. -2 Let c(r) = -2*r - 5. Let j be c(-4). Suppose -3*g - h - 74 = -58, 0 = -g - 9*h - 144. Solve g = 4*z + j*i + 1, 3*z + 2 = -4*i - 4 for z. 2 Suppose 27*x - 21 = 30*x. Let u(a) = a**3 + 7*a**2 + 11. Let i be u(x). Suppose i*m + 2 - 24 = 0. Solve -3*p - 3 = m*n, n + 0 = p + 1 for p. -1 Let b(z) = -z**3 + 3*z**2 + 6*z + 10. Let t(s) = -24*s + 21 + 18*s - 47. Let g be t(-5). Let x be b(g). Solve 0 = -4*k - 3*r + 13, 2*r + 7 = -5*k + x for k. 1 Suppose 24 = -0*f + 8*f. Let b be -5 + 5 - f/(-4 - -1). Let h be (3 + -6)/(3/(-2) + b). Solve -n + h*n = 10, 0 = 4*o + 5*n - 10 for o. 0 Suppose -r + 2*q = -58, 2*r + 2*q - 1 - 97 = 0. Let f be (-84)/70*145/(-3). Let p = f - r. Solve 0 = 2*j - 3*j + 3*v - 7, -4*j - 5*v + p = 0 for j. -1 Let u(l) = -l**3 + 57*l**2 - 212*l + 12. Let h be u(53). Solve 7*v - 11*v = h, 0 = 4*a + 2*v - 2 for a. 2 Let m = -323 - -328. Suppose 0 = 4*g + 8*j - 13*j - 22, 4*g - 42 = -m*j. Solve -b - d - g = 0, 6*d + 10 = b + d for b. -5 Let m(x) = -x**2 + 48*x - 52. Let o be m(47). Let f be 1/1 + (6 - -1) + o. Solve -3*r + 6 = f*a - 4*a, -5*a + 12 = -r for r. 3 Suppose 17*z - 343 + 139 = 0. Solve -4*f + 2 = -13*y + 8*y, -4*f = -z for y. 2 Suppose -183 + 19 = -82*d. Solve d*f - 16 = -5*c, 0 = 4*c - 20 + 4 for f. -2 Let g = 15072 - 15072. Solve h + h - 4*o - 8 = 0, g = -2*h + 5*o + 8 for h. 4 Suppose -22*b = -75 - 57. Suppose -3*s - 15 = 0, t + 11 = -4*s - b. Solve t*c = 2*y - 6, 4*y + c + 4 = -c for y. 0 Let u = 10371 - 10369. Solve u*o = 6, -7*c + 8*c - 4*o = -10 for c. 2 Let b be (885/12)/5 + (48/8)/24. Solve -59*o + 5*m = -57*o + 27, -5*o - 4*m + b = 0 for o. -1 Suppose 35*u = 44*u - 36. Let f(y) = -y**2 - 6*y + 7. Let c be f(-6). Let i = c - u. Solve 3*o = -2*q, -q + 4 = 5*o - i for o. 2 Let a be (-3)/4*20/(-15)*-15. Let b be (a/(-40))/((-17)/(-136)). Let n be 1/(-4) - (-17)/4. Solve -r = -3*h + b*r + 7, h - 13 = n*r for h. -3 Let n(q) = 2*q**2 - 2*q + 1. Let g be n(2). Suppose -6*h - 4*h = -70. Suppose -70*o - 17*o = -348. Solve -w - 6 - 5 = 4*t, g*w = o*t - h for w. -3 Let d be (-104)/91 + 1 + 250/35. Solve m = -2*b - d, 2*b + 0 - 5 = -5*m for b. -5 Let g be (-699)/1398 + 1/2*13. Solve g*i - 4*v = 0, -i = 5*v - 34 + 17 for i. 2 Let k = 42 - 42. Suppose k*i - 24 = -2*i + t, -48 = -4*i - t. Suppose -29*v + 31*v - i = 0. Solve 3*y = -c + v, -5*c = -7*y + 3*y + 8 for y. 2 Let a = 75 - 70. Suppose a*l = 3*q - 11, 2*l - 5 = -5*q + 3. Suppose 2*b + q*b - 4*d = 0, 5*d = 3*b + 2. Solve -3*o - 3*m = -0*o + 9, -2*m + b = -5*o for o. -1 Suppose 68*c - 1917 = -145*c. Solve x = 5*r + 25, 0 = c*x - 13*x + r + 24 for x. 5 Let b(i) = -i**2 + 4*i + 2. Let g be b(3). Let f(k) = k**3 + 4*k**2 + 6*k + 10. Let n be f(-3). Solve w = -0*w - n, -g*w = -3*h - 1 for h. -2 Suppose -60*u = -80*u. Solve u = 5*t - 4*w - 31, 3*w + 40 - 16 = 4*t for t. 3 Suppose -59*d + 345 = -36*d. Solve d = 5*n, 5*a + 5*n - 44 = -39 for a. -2 Let r be (-3)/((-36)/282) - -2*(-8)/(-32). Solve j + 5*t + r = 0, t - 5 = 2*t for j. 1 Suppose -6 = -0*u - u. Suppose -u*n - n = -28. Let d be (4/(-3))/((-4)/12). Solve -4*h + 8 = n*z, h + d = 2*z - 3*h for z. 2 Suppose 5*f = 3*o - 17 + 6, -4*o + 12 = -4*f. Let k be (-1)/(-2)*-1*(-12)/o. Suppose 3*d = 7*d - 16. Solve -2 = -3*x - 2*v + k, 0 = d*x + 3*v - 7 for x. 1 Let t be -1 - (144/(-4))/(0 + 1). Solve -30*a + 5*q = -35*a + t, -3*a - q = -11 for a. 2 Let c = -43 - -41. Let o = -57 + 45. Let j be (c + (-2)/(-4))/(9/o). Solve j*d - 3*x - 13 = 3*d, -4*d = 3*x + 25 for d. -4 Let c be ((-2)/8)/(2 - (-9)/(-4)). Let s be (c/(-3))/((-55)/495). Solve 0 = -3*w - 4*y + 13, -s*y + 9 = -w + 3*w for w. 3 Let g(i) = 43*i**2 + 50*i + 14. Let d be g(-1). Solve -3*f = 5*h + d - 8, 2*f - 4*h - 8 = 0 for f. 2 Let w be (-2 + (-48)/(-9))/(36/(-54)). Let p be (2/w + 0)/(24/(-300)). Solve 0 = -3*a - 5*h - 8, 4*a = -4*h + p*h - 3 for a. -1 Suppose 1 = -b, -5*b = -4*u - 2*b + 15. Let z(q) = 3*q**2 - 10*q + 8. Let i be z(u). Solve 4*l + 3*d + 5 = 28, i*l + 3*d = 28 for l. 5 Let k = 519 - 520. Let j be (35/70)/(k/(-10)). Let w = 9 - 5. Solve a + 2*i - w = 0, a - j*i + 7 = 5*a for a. -2 Suppose 6*v - 1318 = -1306. Solve -v*p = 3*i - 2, 6*i = -5*p + 11*i + 30 for p. 4 Suppose 3*s = 9*s - 120. Suppose -5*m = s - 5. Let q = m + 8. Solve -2*c + 4*p - 1 = -q, -2 = p for c. -2 Suppose -3*a - 31 = -d, -d + 3*a = a - 27. Let b be 0/1*d/(-38). Solve -2*u + 4*r + 24 = b, 9*u - 8 = 4*u - 3*r for u. 4 Suppose -4*x = -2*s + 16, -2 = -4*s - 5*x + 3*x. Suppose 5*y + 20*y = 10*y. Suppose -3*j - 1 = -19. Solve -2*t + 3*z - s*z = j, y = -4*t - 2*z - 28 for t. -5 Suppose 0 = 2*d, 4*d = 5*v - 16 - 49. Solve p - 17*s + v = -13*s, 4*p = 5*s - 30 for p. -5 Let a be (-5)/290*-145 - 3/(-2). Solve -a*t - 10 = 2, 5*q - t = 18 for q. 3 Let y(s) = 2*s + s**2 + s - 20 - 5*s. Let t = 11780 + -11774. Let w be y(t). Solve k - 4 = z, -5*z + 4*k = -6*z - w for z. -4 Let s(j) = j**2 + 23*j + 117. Let u be s(-7). Solve 2*o - u*m - 6 = 0, 4*o - 223*m + 220*m = 12 for o. 3 Let u be (0 + 28)*2/12*54/4. Solve -u*d + 62*d + 15 = -5*n, 0 = 4*d - n - 3 for d. 0 Suppose -104*f = 5*u - 102*f - 22, 0 = -4*u - 4*f + 32. Let s(g) = 2*g - 4. Let p be s(5). Suppose 5*n = 8*n - p. Solve -4 = -3*x - 2*r + u, n = x - 3*r for x. 2 Let i(q) = -q**3 + 7*q**2 + q - 21. Let z be i(6). Let y be 8 - (-14)/((-98)/z). Solve 3*l - 24 = -3*h, y*l + 0 = 4*h + 4 for h. 4 Suppose -6 + 26 = 7*r - 15. Solve 0 = -3*g - 137*u + 135*u - 1, -5*g + r*u - 35 = 0 for g. -3 Suppose 3*n - 3 = -3*f, 2*f + 56*n - 53*n = 0. Solve 5*q + 26 = -4*x, f*q = 2*x + 11 - 9 for q. -2 Suppose -21*a + 18*a - 354 = 0. Let q = 133 + a. Solve -5*i = -3*j - 6, 0*j + q = 3*j + 2*i for j. 3 Let j(q) = -2*q**2 + 167*q - 546. Let h be j(80). Solve 5*z + 4*u = -3, h*z - 2*u = 13*z - 9 for z. -3 Suppose 13*z + 12 + 48 = d, -5*z - 12 = d. Solve a - d*n + 7*n = 0, -3*n = 5*a for a. 0 Let x = 35 + -47. Let p be (-140)/(-24) - x/72. Solve -q = p*t - 2*t - 25, -4*q + 20 = 0 for t. 5 Let l(f) = 134*f - 2545. Let u be l(19). Solve w = -d - u, 4*d = -3*w + 7*d + 15 for w. 2 Let q = -726 - -731. Let x be (20/3)/((-22)/(-33)). Solve 0 = -2*v + q*w - x, -3*v + 3*w - 7*w = -8 for v. 0 Let z(v) = -8*v - 6. Let r be z(-4). Suppose r = -5*j + 6*j. Suppose -5*n + 2*g + j = -1, -g = n - 11. Solve -n = -2*a - o, -3*a + 0*a + 3 = -o for a. 2 Let d = 5 - 2. Suppose 5*s - 7 - 3 = 0. Suppose -6542*k - 7983 = -15932 - 18219. Solve -g = d*g - 2*v - 8, 0 = s*v + k for g. 1 Let c be (52/(-7))/((68/357)/(4/(-6))). Solve -4*q = -5*f + c, 62*f + 4*q + 22 = 65*f for f. 2 Let x be (-756)/(-90) + (-2)/5. Suppose 3*a - 7*q - 12 = -3*q, x = 2*a - 2*q. Let c be a/3 + 55/33. Solve -24 = -3*r - 4*w, -2*w = -c*r - 5*w + 21 for r. 4 Let h = -149 + 151. Let f be (-4 - (-7)/h)*-14*1. Solve -3*y + 3 = -3*z, 2*y - f*y - 2*z = -33 for y. 5 Suppose 0 = 4*m + 28, 564*n + m - 74 = 561*n. Suppose 4*s = -4*t + t - 47, 4*s = 4*t - 12. Let x = 12 + s. Solve -2*y - 4*b = b - n, 0 = y - x*b + 19 for y. 1 Let p be 35 + (-2 - -2) + (-2 - -2). Let x = p - 26. Suppose 3*s = 5*v - 19, 2*v - 4 = 3*s + x. Solve a = -4*h + 19 + 6, -10 = -v*h for a. 5 Suppose 95*x + 155 = 126*x. Solve -x*v + 97*w = 93*w + 20, 5*v = -w + 5 for v. 0
{ "pile_set_name": "DM Mathematics" }
= -17 - -13. Let k be l(d). Let p = k - 11. Solve 2*b + b = -p for b. -1 Let b be (280/7)/8 + -1 + 0. Let y be 1*((3 - 2) + 19). Solve -b*h + 0*h + y = 0 for h. 5 Let u be (3/3)/(1/5). Suppose -32 = -2*w + 44. Suppose -3*p - 2*s - 5 + 67 = 0, 0 = -2*p - 3*s + w. Solve u*v + p = 2 for v. -4 Suppose z + 23 = 5*r, 0 = 10*z - 7*z + 9. Let o = -10 + 14. Suppose -k + 72 = o*k - 4*h, 2*k - 4*h = 24. Solve 0 = -0*v - r*v - k for v. -4 Suppose 2*r - 3*f - 1 = 0, -19 = 26*r - 29*r + f. Solve -21*x = -13*x + r for x. -1 Let h = -135 + 150. Solve 0 = 3*o - 12 + h for o. -1 Suppose 7*p + 7*p = 4*p. Suppose 2*i = i + 6. Suppose 2 = 2*h - i. Solve h*j + p*j - 4 = 0 for j. 1 Suppose 6*t - 16 = 14. Solve t*y = y + 16 for y. 4 Let y(t) = -t**2 + 13*t + 1. Let f(u) be the third derivative of u**4/12 + u**3/6 - 8*u**2. Let l be f(6). Let x be y(l). Solve -3*s = 2 + x for s. -1 Suppose -6*h + 59 = -115. Suppose 0 = -5*j + h + 11. Solve -4*m - j = -0*m for m. -2 Let r(x) = -x - 27. Let f be r(-43). Solve -13*u + f*u + 9 = 0 for u. -3 Let q = -741 + 855. Solve -q*h = -117*h for h. 0 Let q = -288 - -291. Solve 4*j - 5*j = -q for j. 3 Suppose -9*u + 736 = 691. Solve 0 = -u*l + 20*l - 75 for l. 5 Let n be 2*3 + (-7 + 6)*2. Solve z + n - 8 = 0 for z. 4 Let p = 44 - 35. Suppose -3*q + 0*s - s + p = 0, 5*s = 0. Solve q = 4*n - 1 for n. 1 Suppose -4*i + 2 = -3*i. Let q(k) = -k**3 - 4*k**2 - 3*k + 2. Let l(a) = -3*a**2. Let u be l(-1). Let m be q(u). Solve -i = m*t - 4 for t. 1 Let w be (-5)/(-10) - (-9)/2. Let b be 3 + -4 + w - 3. Solve 2*i = b - 9 for i. -4 Suppose 6*b - b - 60 = 2*y, -2*b + 5 = 3*y. Solve -80*t = -82*t - b for t. -5 Let t be 2*(-123)/(-78) + (-4)/26. Suppose -2*b + 21 = 3*k + t, -3*b + 6 = k. Solve -k - 6 = -3*d for d. 4 Let z(d) = 2*d - 4. Let a be z(3). Suppose 5*w - 5*j - 5 = 0, -j = 4*w - a*j - 10. Let g = -191 + 201. Solve -2*m = w*m + g for m. -2 Suppose 33*s - 34*s - 5*p + 30 = 0, 58 = 3*s - p. Solve -12*m - s = -17*m for m. 4 Let v(u) = u**3 - 6*u**2 + 3*u + 5. Let q be v(6). Suppose 3*z - q = -y, -4*z - 3 + 7 = -2*y. Suppose d - 4 - 4 = -4*b, 4*d + 4*b = y. Solve d*k - k = -2 for k. 2 Suppose 3*m - 122 = -32. Suppose 3*c = m - 6. Solve c = -2*i - 0 for i. -4 Let l(p) = 50*p - 41. Let s be l(2). Solve -6 = -62*a + s*a for a. 2 Suppose -x + 5*r = -26, -x - 2 = -4*r + 6*r. Let v be 1 + 8 + 3 + 2. Suppose -4*t + 26 = 3*m, 0 = 2*t - 4*t - 2*m + v. Solve t*b - 14 = x for b. 4 Let i be -1*9/(-12) + 126/56. Solve i*a - 3 = 4*a for a. -3 Let c be ((-1)/(-4))/((-9)/(-468)). Suppose 2*f - 5*f - 7 = 4*z, 3*f + c = -z. Suppose -3*v + 8*v = 4*o - 10, 0 = -z*o + v + 8. Solve -1 + o = -p for p. -4 Suppose -1 = 5*w - 16. Let p = -7 + 22. Suppose -3*l + 1271 = 1253. Solve -w*i + l*i = -p for i. -5 Let y(q) = -q**2 + 11*q + 3. Let r be y(11). Let i be r*1 + 4/(-2) - -2. Solve 3*c - i = 3 for c. 2 Suppose 34*o - 161 + 25 = 0. Solve -v + 6 = -o*v for v. -2 Suppose 3*m = -3 + 3. Suppose m*o - 3*o = 0. Solve o = n + 4*n + 25 for n. -5 Let k = 268 + -253. Let z(u) = -12*u**3 - u**2 - u. Let x be z(-1). Suppose r = -3*r + x. Solve r*i + 2*i - k = 0 for i. 3 Suppose 0 = g + g. Let b = 63 - 47. Let v be 3/((b/(-20))/(-4)). Solve -v = -g*n - 5*n for n. 3 Suppose -b + 4*b - 4*l - 4 = 0, 3*l = 15. Suppose 0 = 2*k + 2*k - b. Suppose -4*g + c = -21, 3 = 3*g - 4*g + 3*c. Solve -t - g = k*t for t. -2 Suppose 4*d - 20 = -7*z + 4*z, 5*d - 35 = -5*z. Solve -z + 8 = -8*f for f. 0 Suppose 6*b = 15*b - 90. Solve b - 6 = -4*f for f. -1 Let t = 310 - 310. Solve t = 4*p - 12 - 4 for p. 4 Let u = -1644 + 1653. Let t = -6 + 10. Solve u*o - 10 = t*o for o. 2 Suppose -39*v = -56*v. Suppose -2*h - c + 0*c = -8, 5*c = -h + 22. Suppose 0 = 3*s - 3*b, 5*s + 6*b - h*b - 9 = 0. Solve v = -2*i + 1 + s for i. 1 Let r = -16 + 20. Let s be -1*(-6 - -1) + 36/(-9). Solve -9 = -r*z - s for z. 2 Let v = -15 - -17. Suppose -l = -5*x + 11, 2*l - l = 2*x - v. Let p be ((-10)/l)/(4/(-8)). Solve -p*z - 17 = -2 for z. -3 Let u = 13 - 9. Suppose 7*v - u = 101. Solve 2*y = -y + v for y. 5 Let m(n) = -n**2 + 11*n - 7. Let k be m(8). Suppose k*f = 13*f + 8. Let h be ((-4)/(-10))/((-1)/(-5)). Solve f = 4*j - h for j. 1 Let l be 1 + -4 + 7 + -1. Let d = -85 + 86. Solve -7 = l*v - d for v. -2 Let d(h) = -h**3 - 5*h**2 - 5*h + 2. Let a be d(-4). Let v = a + -3. Suppose -14*y - 2*y = -80. Solve 0 = y*u - 7 - v for u. 2 Let q = 1 - -1. Suppose -7*x + q*x = -270. Suppose -5*r = -26 - x. Solve 6 - r = 5*p for p. -2 Suppose 0 = -3*z - v + 11, -2*z + 10 = -7*z + 4*v. Let o = z + 1. Let u(m) = m**2 - 8*m + 17. Let i be u(5). Solve i = -o*a - 1 for a. -1 Let m = 222 + -167. Solve 2*y = -9*y - m for y. -5 Suppose 4*y - 28 = -4*s - s, 0 = -4*y - 2*s + 16. Solve 3*i + y + 13 = 0 for i. -5 Suppose z + 199 = 5*c - 30, -2*c - 2*z + 82 = 0. Suppose -7*g - 2*g = -c. Solve 11 + 14 = -g*j for j. -5 Let d be (2 + -2)/(-8 + 6). Let y be 5/((-10)/(-4)) + d. Suppose y*q = -5*q. Solve 2*f - f - 1 = q for f. 1 Let m = 324 - 304. Solve 0*s - m = 5*s for s. -4 Suppose -3*x + 9 = -0*x. Suppose 0 = 4*n - 20, 0*w = -2*w - 5*n + 19. Let f be 1 - (1 + w + 1). Solve -f*j - 5 = -x*j for j. 5 Let s(l) = l**2 + 3*l. Let o = 52 - 56. Let z be s(o). Solve 0 = -z*c - 1 - 15 for c. -4 Let w(h) = h**2 + 50*h + 230. Let a be w(-5). Let r(j) = -2*j + 4. Let v be r(-3). Let p(n) = -n**3 - 7*n**2 - 6*n. Let g be p(-6). Solve g*t - a*t = v for t. -2 Suppose -4*v = 5*r + 3, 5*v + 6*r = 2*r - 6. Let j be (v/6)/(2/(-6)). Let d be (10/5)/j + -2. Solve -2*u - 4 - 4 = d for u. -4 Suppose -5*c + 10 = 5*f, -4*f + 2*f - 10 = 0. Solve l - c*l = -12 for l. 2 Suppose -3*x - 14 = -11. Let t be 34/12 - x/6. Solve 3*w + t = 2*w for w. -3 Let s(o) = o**3 - 13*o**2 + 39*o + 8. Let g be s(8). Solve -t + t - 2*t = g for t. 0 Suppose 0 = -b + 2 - 0. Suppose 3*q = -3*n + n + 11, -2*q = -n + b. Suppose -4*m - 2*o = -8, -3*m + n*m = -2*o - 1. Solve j + m = -0*j for j. -3 Let c(g) = -5*g + 1 + 3*g**2 - 2*g + 11*g + 2. Let i be c(-1). Solve 2*r + i - 10 = 0 for r. 4 Suppose 5*v + 0 = 15. Let l be (8/8)/(-1) + v + -1. Solve -d - l - 1 = 0 for d. -2 Let r(w) = 2*w**2 - 37*w - 210. Let n be r(-5). Solve -13 = 6*t - n for t. 2 Suppose 20 = -10*p + 50. Solve 2*l - p*l = 0 for l. 0 Suppose -2*x - 12 = -12. Suppose x = -2*d - 6*v + 2*v + 22, 4*v - 13 = d. Solve -d*l = 6 + 3 for l. -3 Suppose -4 = -p + 2*t, 0 = 2*p + 44*t - 39*t - 17. Solve -11*o + p = -9*o for o. 3 Let o(p) = 8*p**2 - 7 + 17 - 19*p**2 + 12*p**2 + 9*p. Let m = -29 + 20. Let r be o(m). Solve -r = l + 4*l for l. -2 Let g = -240 + 245. Solve -g*l = -0*l for l. 0 Suppose -4*p = 11 - 3. Let q be 6*p/4*-1. Solve q = -s + 4*s for s. 1 Suppose -6*c = 95 - 365. Let r = 51 - c. Solve 0 = 9*t - 7*t + r for t. -3 Let w be 546/12 + 6 + (-1)/(-2). Let q = w - 36. Solve -5*j = -1 + q for j. -3 Let r be (-15)/30 - (-38)/4. Solve 5*p + 4*p + r = 0 for p. -1 Let v(f) = -f + 10. Let s be v(6). Suppose 15 + 25 = s*d. Solve -4*t - d = t for t. -2 Let o be -15*40/(-50) + -6. Solve p + o*p = -21 for p. -3 Let p = -440 - -450. Solve -1 = p*y - 9*y for y. -1 Suppose 0*r + 3*i - 33 = -2*r, -4*i = 4. Suppose -2*s = -4*s + r. Let b be 50/3 + (-6)/s. Solve 3*f + f = -b for f. -4 Let v = -39 - -43. Let m be -3 + 162/30 - v/10. Solve 3*g + m*g = 0 for g. 0 Suppose 5*t = 4*q - 23, -q + 13 - 2 = 4*t. Solve 0 = -4*m + q - 15 for m. -2 Let m(u) = -u**3 - 3*u**2 + 7*u - 5. Let y be m(-5). Let p = 10 - y. Suppose -3*f + p*f = -9. Solve -14 - 1 = f*s for s. -5 Let l be (1 - (-58)/(-4))/((-315)/630). Solve -l + 31 = 2*g for g. 2 Suppose -2*f = 2*k - 90, -5*f - k - k + 240 = 0. Solve -p + 47 = f for p. -3 Suppose 0 = -5*l + 5*u - 5, -3*u + 32 = 4*l + 2*u. Solve 16 = l*j - 7*j for j. -4 Let f be (5 - 5)/(1*-1). Suppose -5*w + 2 = v, f = -0*w - 4*w. Solve 6*o + 12 = v*o for o. -3 Let u(j) = j**3 - 5*j**2 - 11*j + 32. Let d be u(6). Let y = -14 + 14. Solve y = -d*f + f - 2 for f. -2 Suppose 0 = 4*i + 3*u - 44, -i + 3*i + 3*u - 16 = 0. Solve -3*h + i = 4*h for h. 2 Let q = -10 + 14. Let u be 11/q - (-6)/24. Suppose -u*v + v = -6. Solve 4 - 16 = -v*f for f. 4 Let b be (2 - -14 - -4)*1. Let r = -13 + 3. Let q = 15 + r. Solve -q*k = -k - b for k. 5 Suppose 33 = 2*s + 5*u, -4*s - 6*u + 3*u + 31 = 0. Let b(g) = g + 2. Let w be b(2). Solve w*z = 12 + s for z. 4 Let a(w) be
{ "pile_set_name": "DM Mathematics" }
? True Is 447503 prime? False Is 8483 prime? False Is 173473 prime? True Is 3107 composite? True Is 257857 a composite number? False Is 2819 prime? True Is 400381 a prime number? True Is 89153 a composite number? False Is 1247117 prime? True Is 179623 composite? False Is 53351 composite? True Is 4049 prime? True Is 3271 a composite number? False Is 191 a composite number? False Is 158003 composite? False Is 485263 a prime number? True Is 68071 a prime number? True Is 53653 composite? False Is 3513 a prime number? False Is 34841 a composite number? False Is 195967 composite? False Is 5469 prime? False Is 1337 composite? True Is 55103 prime? True Is 1403531 prime? True Is 22481 prime? True Is 1366 a composite number? True Is 11561 a prime number? False Is 155 a prime number? False Is 3266411 prime? False Is 2157491 a composite number? True Is 42379 prime? True Is 169891 a composite number? False Is 404837 a composite number? False Is 746219 composite? True Is 11281 prime? 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{ "pile_set_name": "DM Mathematics" }
a*a**(-3))*a**(-1/5)*a*a/a**(-2/13))/(a/(a**7*a)*a/a**5)**14 assuming a is positive. a**(2082/13) Simplify ((j**6)**(2/101)/(j**(-3/5)*j)**(4/7))**(-1/17) assuming j is positive. j**(388/60095) Simplify ((x**(-11)/(x**(-2/9)*x*x*x*x*x))/(x*x*x/(x*x/x**(-3/7))*x*x/(x/x**(9/2))))**39 assuming x is positive. x**(-35789/42) Simplify (c**(2/29)*c*c**11)/(c**(7/2)/c*c)**(2/137) assuming c is positive. c**(47747/3973) Simplify (m*m/m**(-1)*m)**(-10/11)/(m/m**(-1)*m**2)*m*m/(m/(m*m/m**6))*m**(-2/5)*(m*m**5/m)/(m*m**(1/2)) assuming m is positive. m**(-829/110) Simplify (((i**(-2/9)/(i*i/i**(2/9)))**40)**(-14/5))**(2/47) assuming i is positive. i**(448/47) Simplify (d**(2/13)*d/(d**(2/13)*d)*d)/((d/d**(-3))/d**8)*(d**(2/3)/d)**(8/13)/((d/(d/(d*d**(-8))))/d**5) assuming d is positive. d**(655/39) Simplify (((k**(-6)/((k*k*k/(k**(-2/9)/k))/k))/(k*k**(-1))**(19/4))**(11/4))**(-25) assuming k is positive. k**(22825/36) Simplify ((q*q*q/(q**(-11)*q))**(1/37)/(q**(-20)*q/(((q**(3/2)/q)/q)/q)))**(-2/39) assuming q is positive. q**(-1321/1443) Simplify (c**7*c**5)**(2/97)*(c*c*c*c**3)/c*c**4*c*((c*c/(c*c*c/c**1))/c)**8 assuming c is positive. c**(218/97) Simplify ((((o/(o*(o/(o/(o**(-1/2)*o*o)*o))/o))/o*o)/o*o/(o**(-33)/o))/(o*o**(-5/4)*o)**(2/11))**(19/4) assuming o is positive. o**(3591/22) Simplify ((k**(-3))**(2/7)/(k**15*k/(k**(-1/2)*k)))**46 assuming k is positive. k**(-5267/7) Simplify ((f**(1/3))**(-21)*f**(-2/9)/(f/(f/((f*f*f**(-10))/f))))**7 assuming f is positive. f**(112/9) Simplify (w**(-9)*w**(-1/5)*w*(w/(w*w/w**(-15)))/w*w*w*w*w*w**22*w*w*w)**43 assuming w is positive. w**(817/5) Simplify (((h**3*h*h**(-1/11))/(h**(-2/17)/(h/h**(-6))))**(-10))**(-6/11) assuming h is positive. h**(123720/2057) Simplify ((v**(5/3)*v)**43/(v**(-1/13)*v/((v/v**(2/7))/v)))**(-1/12) assuming v is positive. v**(-15487/1638) Simplify (((c**(2/7)/c**(-2/17))/(c/(c/((c*c/(c**3/c)*c)/c))*c/((c*c/((c*c*c*c**(-1/3)*c*c)/c*c))/c*c)*c))**(-36))**37 assuming c is positive. c**(675768/119) Simplify ((l*((l/(l/(l/(l**(1/2)*l*l))))/l)/l)/l)**(-5)*(l**0/l)**36*(l*l**(1/3)*l)**(-1/20)*(l**(-1))**(-3/4) assuming l is positive. l**(-268/15) Simplify ((x/(x**(-3)*x))/(x*x**0))/(x**(-6)/(x*x/(x/((x/(x**6/x*x))/x))))*(x*x/((x*x**(-3)/x)/x)*x*x/x**(-2/7))**(2/3) assuming x is positive. x**(179/21) Simplify ((r**3*r**(1/27))/(r**5)**(-2/139))**(-49) assuming r is positive. r**(-571732/3753) Simplify ((y**(-2/5)/y)/y)**(-3)*(y*(y*y**(-1))/y*y)**(2/23)*((y/(y*y*y/(y*y**(-2/5))*y))/y**2)/(y/y**4*y/y**3) assuming y is positive. y**(907/115) Simplify ((y*y/(y**(-1)*y))**30)**12*(y*y**6)/(y/y**(-6/11))*(y/y**(4/3))/(y/(y**0/y)) assuming y is positive. y**(23863/33) Simplify (i**(2/3)/((i**5/i)/i))/(i/(i**(-2/3)/i))**(-3/16)*((i/((i*i/(i**2*i))/i))**(2/29))**(-14) assuming i is positive. i**(-823/174) Simplify ((c*c**(-2/3))/(c/(c**(-2)/c)))/(c**(-1))**(-5/7)*(c*c/(c/c**(-1/3)))**(-50)*(c*(c*c**(2/5))/c)**(-37) assuming c is positive. c**(-3133/35) Simplify ((q*((q*q*q**(-1))/q)/q*q)**(-38/5))**11*q**(1/2)/(q*q/(q**6*q))*q**(-8)*q*q**(-2/3)*q assuming q is positive. q**(-2543/30) Simplify ((v*v/(v/(v*v**(-2/9)))*v)**(-50))**(-40)*v**(-1)*v/((v/(v/v**2))/v)*(v**(1/4))**(-8/7) assuming v is positive. v**(349919/63) Simplify (t**(-4/3)/(t*t**(-3/8)))**(-18)*(t*t**(-1/2)/t)**44/(t/(t*t*t*t**(-6))*t*t/t**(2/3)) assuming t is positive. t**(95/12) Simplify (((j*j**10)/j**(-2/19))/((j*(j/j**(-7/3)*j)/j)/(j*j**(-8))))**(-1/32) assuming j is positive. j**(13/1824) Simplify (((w**0/w)/w)**(1/8)*(w/w**1*w)**(-13/2))/((w**(1/2))**50*(w**(-4/7)*w)/w**(-1/9)) assuming w is positive. w**(-8137/252) Simplify ((p/((p*p**(2/9))/p)*p*p)**(11/7))**48/((p*(p**(4/3)/p)/p*p*p*p)/(p**(-2/9)/p))**(2/59) assuming p is positive. p**(778226/3717) Simplify (v**(-8)*v**2)**(20/3)*((v**(-3)*v*v)/v*v*v*v*v**(-1/5))/((v*v/v**(-1/4)*v)/(v**(2/15)*v)) assuming v is positive. v**(-2479/60) Simplify (((((s/(s**(-2/9)/s))/s*s)/(s*(s/s**5)/s*s))**(-3/31))**(-24))**25 assuming s is positive. s**(9400/31) Simplify (y**(-4/7)/y**(2/7))/((((y**2/y)/y)/y)/(y**0/y))*(y**(1/4)/y**6)**38 assuming y is positive. y**(-3071/14) Simplify (w**0/(w**1/w))/(w*(w*w/(w*w*w**(2/17)/w)*w*w*w)/w*w**(3/4)/w*w)*((w**(-1))**43)**(-42) assuming w is positive. w**(122493/68) Simplify ((b/b**(-3/4)*b**(3/2)*(b**(-2/11))**(-12))**(-10))**(-17) assuming b is positive. b**(20315/22) Simplify (x*x**4*x**(-2/11))/((x/x**(-1))/x)**25*x**(-6)*x**(-1)*(x**(-2/3)/x)**(7/4) assuming x is positive. x**(-3973/132) Simplify (r**29*(r/r**(-25))/r*r*(r*r**(-10)*r*r)**(-1/3))**(1/29) assuming r is positive. r**(172/87) Simplify (c*c**(-1)*c)/(c*(c*(c/(c*(c**(-5)/c)/c))/c)/c)*(c**2/c)**(-17)*(c*(c**0/c)/c*c**6)**(-45) assuming c is positive. c**(-248) Simplify (x**(-4)*x*x**2*x**(2/5)*(x*((x/((x*x/((x/(x/x**(5/6)*x))/x))/x*x*x))/x)/x*x)/x)/(x**5/x**(1/6)*x**0/x**2) assuming x is positive. x**(-38/5) Simplify ((l**(-1/3)*l)/l**5)**(20/3)/(l/(l/(l*l*l**6)*l)*l*l*l/l**(-3))**13 assuming l is positive. l**(-1781/9) Simplify ((l/(l**0*l)*l)**(-17/2)/(l**(-4)*l/(l**(1/5)/l)))/(((((l*l**(-4/3))/l*l)/l)/l*l)/l**(2/15))**35 assuming l is positive. l**(1351/30) Simplify ((c*c/c**2)/(((c**2*c*c)/c)/c*c))**(-27/5)/((c**(-2/3)*c*c/((c**(-1/10)/c)/c)*c)/(c*c*c*c**(-2/23)*c**(-3/4)*c)) assuming c is positive. c**(20603/1380) Simplify ((y/(y/y**(-1)*y))**(2/59))**47/((y**(-1/2)*y)**(-25)/(((y**8*y)/y)/y**(-6))) assuming y is positive. y**(2751/118) Simplify ((d*d*d*(d**(1/2)*d*d)/d*d)**(-2/147)/((d*d/(d*d/d**(-8)))/(d/d**1)))/(d/d**0*d*(d*d*d**(3/8))/d*d**(1/4)*d/(d*d**7*d)) assuming d is positive. d**(14465/1176) Simplify ((x/(x**0*x))**8/((x**(-3/5)*x)/x**(-2/7)))/(x**(-4)/x**(-3))**49 assuming x is positive. x**(1691/35) Simplify (((d*(d**4*d)/d)/d)/d**(-1))**(-2/9)*((d/(d*d**(-1/3)))**(-23))**(-31) assuming d is positive. d**(2129/9) Simplify h**(-1)/((h*h**(2/11))/h)*h**(-1/9)/h**(-2)*(h*h/(h/h**(-1/11)*h)*h**(-4))**14 assuming h is positive. h**(-5600/99) Simplify (u*u/(u**3/u))**(-14)*u**(-4/13)/u*u**(-6/31) assuming u is positive. u**(-605/403) Simplify ((((b*b*b/(b/(b/(b/(b/(b*b*b**(2/3)/b*b*b))*b)*b*b)))/b**(4/11))**(-17))**(31/2))**(-2/11) assuming b is positive. b**(-527/363) Simplify (j/j**0)**(-12)*(j**2)**(-1/65)*(j**(-1/3))**17*(j/j**(-1/5))/j*j*(j/j**(-2))/j assuming j is positive. j**(-2827/195) Simplify (f**5*f*(f*f**(-5/3))/f)**(1/45)*(f/f**3*f**6)/((f*(f/(f/(f/(f*f/(f*f**(5/4))*f))))/f)/f*f**(2/3)) assuming f is positive. f**(2257/540) Simplify (i*i/(i**(-7)*i)*(i/(i**(-2/3)/i))/i)/(i**(4/7)*i*i*(i**(-5)/i*i)/i)*(i**(-1/2)*i*i**5*i)/(i**1)**19 assuming i is positive. i**(25/42) Simplify (((v*v/((v*v/v**41)/v*v)*v*v)/v)/(v*v**(-1/5)))/(v**(-1/5))**(-44) assuming v is positive. v**(162/5) Simplify (((n/n**(5/2))/n*n)**(-34)/(n/((n/n**(5/4)*n)/n*n))**(-1/56))**10 assuming n is positive. n**(57125/112) Simplify (((v/v**6)/v**(-5))/(v**1*v*v/(v*v**(-2/13)/v)*v))/((v*v*v**1)/v**0*(v/(v**(-5)/v))/v*(v**(2/7)/v)/v*v) assuming v is positive. v**(-1132/91) Simplify (((v/v**4)/(v/(v*v/(v/(v/((v**(-5/2)*v)/v)*v)*v))*v)*((v**0*v)/v*v)**43)**(16/7))**(-5/21) assuming v is positive. v**(-3400/147) Simplify ((p**(3/5)*p/(p*p/(p**(-5)/p)))/(p*p**(2/5)*p*p**(2/13)))/(p/(p**(-3/4)*p)*p**(4/7)*p)**41 assuming p is positive. p**(-189521/1820) Simplify (u/(u/u**(-6))*u*u**(3/8)/u*u)/(u**(-5)*u**(-3/4)*u*u)*(u/((u/(u/u**1))/u))**(1/21)*(u/u**(2/5))**8 assuming u is positive. u**(3337/840) Simplify ((m*m/((m/(m/m**(9/4)))/m)*m)/(m*m**6*m)*m**1*m*m**11*m)**(2/29) assuming m is positive. m**(31/58) Simplify ((g**5*g**(4/7))/((g/((g**(-6)*g)/g*g))/g*g**(-6)))/((g**0/(g/g**(-2/5)))/(g**(-2))**(-3/13)) assuming g is positive. g**(3837/455) Simplify ((q*q**(-2/5)/q)**(16/9)*((q*q**(-3)*q)/q)/q**0)/((q*q*q/((q*q**1)/q))**10/(q**(-4)*q**0)) assuming q is positive. q**(-1202/45) Simplify (q**(4/11)/(q/(q*q*q**(-1)/q*q)))/(q**(-1)*q*q)**(-2/125)*(q*q**(-2))**43/(q**0/(q**(-1/5)*q)) assuming q is positive. q**(-57503/1375) Simplify (w**(13/2)/w**(-19)*(w/w**(4/19))**(2/5))**(-45) assuming w is positive. w**(-44145/38) Simplify (o**21*(o/(o**(-9)*o))/o*o*(o*o**2)**(-22))**(-42) assuming o is positive. o**1512 Simplify (((c**(-1/3)/c)**(-6/17)/(c/c**(-1))**(2/65))**(-40))**29 assuming c is positive. c**(-
{ "pile_set_name": "DM Mathematics" }
t(1960))/(sqrt(512) + 1*sqrt(512) + sqrt(512)) + -1). 30 + 65*sqrt(5)/4 Simplify 3*(-5*((sqrt(33)*-1)/sqrt(3) + sqrt(11) + -1 + sqrt(176))**2 + 3). -2646 + 120*sqrt(11) Simplify (-2*sqrt(120)/sqrt(8))/(sqrt(5) + sqrt(720)/sqrt(9)). -2*sqrt(3)/5 Simplify (sqrt(63)/(sqrt(75)*1))/((sqrt(12) - sqrt(3))*-1 - sqrt(3) - sqrt(75)*-2). sqrt(7)/40 Simplify 5*(sqrt(396) + 1*sqrt(396) + -4)**2*2. -960*sqrt(11) + 16000 Simplify ((sqrt(143)*2*-5*-3)/(sqrt(22)/(sqrt(12)/sqrt(54))))**2. 1300 Simplify -5 + (3*sqrt(27) + (-1*sqrt(432))**2 + 1)*-1. -438 - 9*sqrt(3) Simplify (-4*-1*sqrt(153) + (sqrt(153)*1*2 + sqrt(153) - sqrt(153)))/(sqrt(729)*1 - sqrt(729) - sqrt(729) - (sqrt(63)/sqrt(63) - sqrt(9) - sqrt(9))). -9*sqrt(17)/11 Simplify (sqrt(152) - (sqrt(152) + -5*sqrt(152))*-3)/((sqrt(72)*4 + sqrt(72))/sqrt(9)). -11*sqrt(19)/5 Simplify (((6*sqrt(130)*1 - sqrt(130))*-2)/(3*sqrt(810)*1 - sqrt(810)))**2. 325/81 Simplify (2*sqrt(1573)*2)**2 + sqrt(1573) + (sqrt(91)/(sqrt(35)/sqrt(5)) - sqrt(13)) + -3. 11*sqrt(13) + 25165 Simplify (5*sqrt(242)*2 - ((sqrt(12) + sqrt(48))/sqrt(3))/sqrt(2)) + -1. -1 + 107*sqrt(2) Simplify ((-5*(sqrt(121) + 2*sqrt(121)))/sqrt(11))**2*-5 + -4. -12379 Simplify (2 + (sqrt(432) - -1*sqrt(432))*-5 + -3)**2 + -1. 240*sqrt(3) + 43200 Simplify -3*sqrt(15)/(-2*sqrt(432)) - (-3 + (5 + sqrt(320) + -1)**2). -333 - 511*sqrt(5)/8 Simplify ((0 + -1 + sqrt(208) + sqrt(208) + -4 - 4*((sqrt(208) - (0 + sqrt(208))) + sqrt(208))*-2)*5)**2. -10000*sqrt(13) + 520625 Simplify 3*((sqrt(130)*-2 + sqrt(130))*-2*-4)/(3*-1*sqrt(1210)). 8*sqrt(13)/11 Simplify (-5*sqrt(6655)*-2)/(6*sqrt(33)/sqrt(3)*2). 55*sqrt(5)/6 Simplify 1*(1*sqrt(75)*3*1 - ((sqrt(75) - -5*((sqrt(75) - (-1 + sqrt(75) - sqrt(75))) + sqrt(75))) + 5))**2. 800*sqrt(3) + 4900 Simplify 4*(sqrt(88) + (sqrt(88) - 2*sqrt(88))*3 + sqrt(88))/(sqrt(800)*-2 + sqrt(800) - sqrt(800) - sqrt(8)). 4*sqrt(11)/21 Simplify 3 + (-4*sqrt(112) - sqrt(2744)/sqrt(8)) + -4. -23*sqrt(7) - 1 Simplify ((1*(sqrt(104) + (sqrt(104)*2 - sqrt(104))))/sqrt(8) - (sqrt(1053) - (-5 + (sqrt(1053) - (sqrt(1053) + -1 - sqrt(1053)))) - sqrt(1053)))**2. -88*sqrt(13) + 1589 Simplify ((-1*-2*sqrt(625))/(sqrt(20)*2*-1))**2. 125/4 Simplify -4 + (4*(sqrt(171) - -3*(sqrt(171) + 0))**2 - (3*(1 + sqrt(171) + sqrt(171)))**2*-6). 648*sqrt(19) + 47930 Simplify (2*-2*sqrt(70)*-6)/((sqrt(1210) - (sqrt(1210) - sqrt(1210)*-3))*-1). 8*sqrt(7)/11 Simplify 3*((2*sqrt(2880) - sqrt(2880) - sqrt(2880) - ((sqrt(40)*-2)/sqrt(2) + sqrt(20) - sqrt(20)))/(-2*sqrt(1440)*2))**2. 1/96 Simplify ((sqrt(78)*-2 - sqrt(78) - sqrt(78))*-5 - -2*sqrt(78)*3)/(2*sqrt(54) - sqrt(486)). -26*sqrt(13)/3 Simplify (3*(sqrt(209) - sqrt(209)*2))/(sqrt(33)/sqrt(3)*-1) - (-2 + sqrt(2299)*2*3). -63*sqrt(19) + 2 Simplify (((2 + ((sqrt(112)/sqrt(2))/sqrt(8) - sqrt(7)) + (sqrt(7) - sqrt(84)/(sqrt(36)/sqrt(3))))*-6 + -4)*5)**2. 6400 Simplify (3*sqrt(20)/sqrt(2)*5)/(((sqrt(110) - sqrt(110)*2)/sqrt(11))/sqrt(5)). -15*sqrt(5) Simplify (-1*sqrt(500))/((sqrt(80)/sqrt(2))/sqrt(10)). -5*sqrt(5) Simplify (-4 + 0 + sqrt(343) + sqrt(343) + -3)**2 - (-2 + (sqrt(343) + 2*sqrt(343))*-4)**2. -47975 - 532*sqrt(7) Simplify (sqrt(1000)*-4)/(sqrt(288)*-5). 2*sqrt(5)/3 Simplify (4*sqrt(14)*-2)/(-4*-6*sqrt(7)). -sqrt(2)/3 Simplify 5 + 4 + -1 + (sqrt(343) - -2*(-1 + sqrt(343))**2 - ((sqrt(343) - ((sqrt(343) - (sqrt(343) + -1)) + 2)) + sqrt(343) + sqrt(343))**2). -2400 + 105*sqrt(7) Simplify -5 + (3*(5 + (sqrt(33)/(sqrt(3)*2) - sqrt(275)*-6)))**2. 2745*sqrt(11) + 369259/4 Simplify (1*(sqrt(567)*2 + -2) - (5 + sqrt(567) + 0 + 2*(1 + sqrt(567))))**2. 162*sqrt(7) + 648 Simplify -2 + (sqrt(153) - (0 + sqrt(153)*-4)) - (-2 + -1 + sqrt(153) + 0)**2. -164 + 33*sqrt(17) Simplify -3*6*((sqrt(243)*6)**2 + -5). -157374 Simplify 2*(-3*sqrt(484))/(sqrt(4)/(-3*sqrt(2))). 198*sqrt(2) Simplify ((0 + sqrt(5))**2*-2 - (-4 + (sqrt(30)/sqrt(6) - sqrt(5)))**2) + ((-2 + sqrt(720))**2 - sqrt(5) - ((sqrt(30)/sqrt(6))**2 + 1)). -49*sqrt(5) + 692 Simplify ((1*sqrt(175) + 0 - (sqrt(175) + 4*((-1 + sqrt(175))**2 + sqrt(175)))) + (4*(1 + sqrt(175)))**2 + -2)*1. 180*sqrt(7) + 2110 Simplify -4 + 5 + sqrt(125) + sqrt(125) + -1 - (-3 + 3 + sqrt(125)*3). -5*sqrt(5) Simplify ((-2 + sqrt(192)*-3 - 1*(-3 + sqrt(192)))*6)**2. -2304*sqrt(3) + 110628 Simplify (1 + (6*sqrt(700)*-3 + sqrt(700) - (-2 + sqrt(700) + 2)))**2. -360*sqrt(7) + 226801 Simplify (1*sqrt(171)/sqrt(144)*-5 + -2)**2. 5*sqrt(19) + 539/16 Simplify (sqrt(98)/sqrt(112) + sqrt(14))/(sqrt(20)/(3*sqrt(10) - sqrt(10)) + sqrt(2) + sqrt(2)). sqrt(7)/2 Simplify (((sqrt(833) + 0 - sqrt(833)) + sqrt(17) + -4 + sqrt(153))*6)**2 - ((sqrt(153) - ((sqrt(153) - (sqrt(153) + -1)**2) + 1)) + -4). -1146*sqrt(17) + 10219 Simplify 1*(((sqrt(153)*-5 - sqrt(17)) + 2)**2 + (sqrt(2754)/sqrt(2) - sqrt(17)) + -4). -56*sqrt(17) + 4352 Simplify 0 + sqrt(153) - -6*sqrt(17)*-1 - (sqrt(425) + (sqrt(425) + sqrt(425) + 3 + sqrt(425) + 2)**2). -3850 - 158*sqrt(17) Simplify (-3*(sqrt(891) + 2 + (sqrt(891) - sqrt(891)*-1) + -6*(sqrt(891) + -3)))**2 + -3. -9720*sqrt(11) + 75768 Simplify -2 + 1*(sqrt(2) - ((((2 + sqrt(2))**2 + sqrt(2))*-5 - sqrt(2)) + sqrt(2)) - (sqrt(72) + 1)). 27 + 20*sqrt(2) Simplify (-5*(sqrt(396) - (sqrt(396) + -1))*-2 - (sqrt(396) + (0 + sqrt(396)*1 - sqrt(396) - sqrt(396)))*1)**2. 100 Simplify (3*sqrt(624)*3)/(sqrt(192) + 3*sqrt(192) - sqrt(192) - sqrt(192)). 9*sqrt(13)/4 Simplify 4*(sqrt(396)/(sqrt(24)/sqrt(2)))/(sqrt(3) + -3*sqrt(12)/sqrt(4)). -2*sqrt(11) Simplify 3 + (-4 + 1 + sqrt(63) - sqrt(63) - sqrt(567)*-4)**2 + -5. -216*sqrt(7) + 9079 Simplify -4 + ((1*sqrt(1100)*5 - (1 + sqrt(1100)*-1 + sqrt(1100))) + 4)**2. 300*sqrt(11) + 27505 Simplify -3 + (3 + sqrt(275)*2 + sqrt(275) + sqrt(275) + (-1*(sqrt(275) + sqrt(275) + 0) - sqrt(275)))**2 + -4. 30*sqrt(11) + 277 Simplify -6*(-2 + (sqrt(112) - (sqrt(112) - (sqrt(112) + 0)**2)) + 1 + 3) + 5. -679 Simplify (-3*-5*2*(sqrt(19)*2 - sqrt(19))*-4*-2)**2. 1094400 Simplify -4 + (sqrt(704)*-1 - sqrt(22)/(sqrt(8) + sqrt(2)) - (sqrt(44)/sqrt(4) + -3 + 5)**2). -37*sqrt(11)/3 - 19 Simplify ((-3*(2*sqrt(77) + sqrt(77)) - sqrt(77))*-5)/(3*((sqrt(22)/sqrt(2) + sqrt(11))*3 - sqrt(11))). 10*sqrt(7)/3 Simplify 2 + (sqrt(13) - sqrt(117)*-1) - (4 + (2 + sqrt(1053) + sqrt(1053))**2). -4218 - 68*sqrt(13) Simplify sqrt(4)/(sqrt(8)/sqrt(4)) + (sqrt(24)/(sqrt(24)/sqrt(2)))**2 + sqrt(50)*6 + -1 + -4. -3 + 31*sqrt(2) Simplify ((sqrt(28) + sqrt(448))*-4*-6)/((sqrt(4) - (4*sqrt(12))/sqrt(3) - sqrt(4))*6). -5*sqrt(7) Simplify (6*(2*sqrt(78))/sqrt(3))/(sqrt(800)*5). 3*sqrt(13)/25 Simplify -6*(((sqrt(612) + 1 + sqrt(612) - sqrt(612)) + -2 + sqrt(612) - sqrt(612)) + 1 + (sqrt(612)*-2*-5 - sqrt(612)) + sqrt(612) + 1)**2. -444318 - 792*sqrt(17) Simplify (3*sqrt(2736) - sqrt(2736))**2*1 + (sqrt(76) + 1*(sqrt(76) + 3))**2. 24*sqrt(19) + 11257 Simplify ((-1*sqrt(896) - sqrt(896))*5)/(sqrt(63)*1 + (sqrt(280)/sqrt(5))/sqrt(8)). -20*sqrt(2) Simplify (3*(-5*sqrt(144) - sqrt(16))/(1*sqrt(56)/sqrt(7)))**2. 4608 Simplify (((sqrt(99) + 2 - sqrt(99) - sqrt(99)) + 2)*-4*3)**2. -3456*sqrt(11) + 16560 Simplify sqrt(52)/((sqrt(100) - -3*sqrt(100)) + sqrt(4))*1 + -5. -5 + sqrt(13)/21 Simplify -3*(sqrt(132) - 2*sqrt(132)*-2)/(sqrt(24)/sqrt(2)*-6). 5*sqrt(11)/2 Simplify (sqrt(20)/(sqrt(20)/(sqrt(5)*1)) + -1*sqrt(10)/(1*sqrt(2)))*-1. 0 Simplify (((sqrt(170) - -1*4*sqrt(170)) + sqrt(170) + sqrt(170) - sqrt(170))/(1*sqrt(80)/sqrt(8)) + -3 + -5)**2. -96*sqrt(17) + 676 Simplify (sqrt(68)*2 + sqrt(68))*-3 - (2 + (sqrt(102) - sqrt(102)*-1)/sqrt(6)). -20*sqrt(17) - 2 Simplify -5 + -4*(0 + sqrt(19)) + ((1 + sqrt(2736))**2 - (sqrt(19) + sqrt(19) + (sqrt(931) - (2 + sqrt(931)))**2)). 18*sqrt(19) + 2728 Simplify -2 + -3*(-5 + (sqrt(171) + 2 - sqrt(171)) + 2). 1 Simplify 1*(-3 + (sqrt(448)*-2 + -2)*-3). 3 + 48*sqrt(7) Simplify (1 + sqrt(52)/(sqrt(324)*2)*-1)**2. -sqrt(13)/9 + 337/324 Simplify ((-5*(1*sqrt(66) + sqrt(66)) + (sqrt(66) - ((2*sqrt(66) - sqrt(66))*-4 + sqrt(66)) - sqrt(66)))/(sqrt(726) + 3*(-1*sqrt(726) + sqrt(726))) + 5)**2. -70*sqrt(11)/11 + 324/11 Simplify ((sqrt(27)*-6 - (2*sqrt(432) + sqrt(3))) + ((sqrt(36) + sqrt(72)/sqrt(2))/sqrt(12) - (sqrt(30)/sqrt(2))/sqrt(5)) + 1)**2. -84*sqrt(3) + 5293 Simplify ((1*(sqrt(95) - -3*-1*sqrt(95) - sqrt(95)))/(-2*(sqrt(5) - (sqrt(5) + (sqrt(5) - 2*sqrt(5))))
{ "pile_set_name": "DM Mathematics" }
-5*g(x) + 4*s(x). Let f(b) be the first derivative of -b**2/2 - 14. What is q*r(i) - f(i)? i - 1 Let h(x) = -15*x**3 - 17*x**2 - 20*x + 20. Let g(k) = 5*k**3 + 6*k**2 + 7*k - 7. Determine 17*g(z) + 6*h(z). -5*z**3 - z + 1 Let q(t) be the first derivative of -4*t**3/3 - t**2/2 - 9*t - 60. Let c be -6*(-4)/6 - 2. Let j(k) = -2*k**2 - 4. Determine c*q(l) - 5*j(l). 2*l**2 - 2*l + 2 Let p(z) = z**2 - 19*z + 54. Let g be p(16). Let c(f) = -4*f**2 + 4*f - 3. Let d(n) = 3*n**2 - 3*n + 2. Give g*d(u) + 4*c(u). 2*u**2 - 2*u Let l(d) = -27*d**2 - 5*d + 5. Let a(m) = 6*m**3 - m**2 + m + 3. Let q be a(-1). Let z(b) = -14*b**2 - 2*b + 2. Give q*z(p) + 2*l(p). 16*p**2 Let f = -59 - -74. Let m(w) = -w**3 + 15*w**2 + w + 11. Let s be m(f). Let b(t) = -4*t**2 + 13. Let o(l) = -l**2 + 3. What is s*o(h) - 6*b(h)? -2*h**2 Let o(j) = -j**2 - 15*j - 1 + 15*j. Let t(w) = 4*w**2 + 6. Let n be ((288/(-27))/(-16))/(1/9). Determine n*o(h) + t(h). -2*h**2 Let b(t) = -3*t + 7. Let l(u) = -7*u + 13. Let f = 702 + -707. What is f*b(x) + 2*l(x)? x - 9 Let g(i) = -3*i**2 + i + 1. Let q(y) = -65*y**2 + 3*y - 2. What is 2*g(p) - q(p)? 59*p**2 - p + 4 Suppose 0*h - g + 8 = 2*h, -2*h - 16 = -5*g. Let p(j) = 0 - 4 + 3 - h. Let r(x) = x - 5. Calculate 5*p(l) - 3*r(l). -3*l Let a be 1 + 27/(-6) - (-4)/8. Let n(s) = 2*s**2 + 3*s + 7. Let y(f) = -f**2 - f - 4. Give a*n(b) - 5*y(b). -b**2 - 4*b - 1 Let b(f) = f**3 + f - 1. Let w(s) = -222*s**3 - 333*s + 333. Give 333*b(n) + w(n). 111*n**3 Let v(y) = y**2 - y - 2. Let g(s) = -3 + 1 + 2 - s**2 + s + 5. Let r(u) = -4*u - 17. Let p be r(-3). Determine p*v(w) - 2*g(w). -3*w**2 + 3*w Let m(j) = -j - 1. Let o(y) = -55*y - 7. Calculate -6*m(s) + o(s). -49*s - 1 Let a(d) = 97*d**3 - 1. Let n(u) = 2*u**3. Determine a(o) - 6*n(o). 85*o**3 - 1 Let c be (8/(-12) - -1)*36. Suppose 2*y = -8, -2*t + y = 2*t - c. Let m(i) = -i + 2. Let h(x) = -2*x + 5. Determine t*h(w) - 5*m(w). w Suppose y + 45 = 6*y - 5*q, 0 = 2*y - 5*q - 30. Let h(p) = -4*p**2 + 2*p - 2. Let s(t) = 0*t + 7*t**2 + 0*t - 3*t + 3. Calculate y*h(w) + 3*s(w). w**2 + w - 1 Let f(a) be the third derivative of -a**4/4 - 7*a**3/3 + 25*a**2. Let b(s) = -2*s - 5. Suppose 12 = -r + 2*r. Suppose -n + r = -3*n. What is n*f(u) + 17*b(u)? 2*u - 1 Let v(j) = -24*j**2 + 22*j - 22. Let g(n) = -5*n**2 + 73 - 74 + 0*n + 4*n**2 + n. Give -44*g(u) + 2*v(u). -4*u**2 Let q(i) = 13*i**3 - 12*i**2 - 2. Let w(k) = -11*k**3 + 11*k**2 + 3. Calculate 3*q(n) + 2*w(n). 17*n**3 - 14*n**2 Let h(t) = 5*t - 66. Let x(w) = -17*w + 198. Calculate -7*h(j) - 2*x(j). -j + 66 Let r = -12 - -3. Let w(a) = 15*a. Let f(j) be the second derivative of 7*j**3/6 - j + 4. What is r*f(u) + 4*w(u)? -3*u Let q(z) = z + 12. Let f be q(-11). Let w(n) = -2*n**2 + n + 5. Let m(x) = 1. Determine f*w(c) - 5*m(c). -2*c**2 + c Let g(j) = 15*j**3 - 5*j**2 + 236*j + 5. Let x(m) = 23*m**3 - 8*m**2 + 353*m + 8. What is -8*g(t) + 5*x(t)? -5*t**3 - 123*t Suppose -8*g + 6*g = -16. Let l(f) = 6*f - 35. Let u be l(g). Let n(s) = 11*s + 15. Let k(h) = -5*h - 7. Determine u*k(x) + 6*n(x). x - 1 Let m(g) = -4*g**2 + 3*g. Let h(x) be the third derivative of 0*x**3 + 1/24*x**4 + 0*x - 28*x**2 + 0. Calculate -3*h(z) + m(z). -4*z**2 Let g(p) = -2*p - 7. Let k(h) = -3*h - 6. Let i(n) = n**2 - 42*n + 386. Let a be i(28). Calculate a*k(b) + 5*g(b). 8*b + 1 Suppose -5*d + 138 = 18*d. Let c(v) = 10*v**3 + 8*v**2 - v + 6. Let s(w) = -w**3 - w**2 - 1. Determine d*s(p) + c(p). 4*p**3 + 2*p**2 - p Let h(y) = y + 3. Let z(t) be the second derivative of 1/2*t**3 + 0 + 13/2*t**2 + 16*t. Calculate 9*h(d) - 2*z(d). 3*d + 1 Let c(f) = -2*f + 1. Let i(y) = y. Let n(z) = z - 1. Let g(b) = -i(b) - n(b). Suppose 0 - 6 = 2*t. Let v be -3 + (-3)/t - -7. Determine v*g(a) - 6*c(a). 2*a - 1 Let t(z) = 5. Let p(k) be the first derivative of k**2/2 + 26*k + 2. Let d be ((-11)/(-2) + -6)/((-4)/(-16)). Determine d*p(l) + 11*t(l). -2*l + 3 Let g(x) = 9*x**2 + 6*x - 3. Let s(t) = 17*t**2 + 11*t - 6. Let m be (-28)/(-273)*-57 + 4/(-26). Calculate m*s(q) + 11*g(q). -3*q**2 + 3 Suppose 11*b - 8*b - 345 = 0. Let k = b - 116. Let j(i) = 6*i + 2. Let m(t) = -t. Give k*j(x) - 5*m(x). -x - 2 Suppose g = 30 - 9. Let u(p) = -p**2 + 20*p + 27. Let i be u(g). Let m(s) = 5*s. Let c(y) be the third derivative of -y**4/24 + 2*y**2. Determine i*c(x) + m(x). -x Let g(z) = 1 - 3*z - 4 + 11*z - 2. Let l be (10/2 - (16 + -5))/1. Let h(t) = -9*t + 6. What is l*g(w) - 5*h(w)? -3*w Let v(b) = 6*b - 26. Let z(l) = -2*l + 9. Let s = 1248 + -1231. Give s*z(w) + 6*v(w). 2*w - 3 Let y(j) = 39*j**2 - 6*j + 9. Let t(g) = -9*g**2 - 1. Calculate -4*t(h) - y(h). -3*h**2 + 6*h - 5 Let n(s) = -10*s - 7. Suppose -2*i = -2*k - 150, 0 = 4*k - 2*k - 5*i + 159. Let r = 79 + k. Let l(v) = -11*v - 8. Give r*n(z) - 6*l(z). -4*z - 1 Let u(c) = c. Let h(r) = -r**3 - 186*r**2 - 6*r. What is -h(o) - 6*u(o)? o**3 + 186*o**2 Let i(j) = -11*j - 17. Let f be (7/(-14) - 3)*(2 - 0). Let x(l) = -5*l - 8. Determine f*x(y) + 3*i(y). 2*y + 5 Let k(s) = 234*s**2. Let n(b) = 1287*b**2. What is -27*k(z) + 5*n(z)? 117*z**2 Let x(k) = -k**3 + k + 1. Let w(r) = -r**3 + 10*r + 14. Let g(d) = w(d) - 5*x(d). Let u(o) = o**3 + o + 1. What is -g(t) + 5*u(t)? t**3 - 4 Let l(t) be the first derivative of t**4/2 - t**3/3 + 3*t + 204. Let o(r) = -6*r**3 + 3*r**2 - 8. Determine 11*l(m) + 4*o(m). -2*m**3 + m**2 + 1 Let b(g) be the first derivative of -13*g**4/4 + 3*g**3 + 9*g**2/2 + 5*g - 281. Let j = 3 + -5. Let i(x) = 3*x**3 - 2*x**2 - 2*x - 1. Determine j*b(u) - 9*i(u). -u**3 - 1 Let o(y) = -10*y**3 - 6*y**2 + 26*y - 6. Let d(l) = -11*l**3 - 7*l**2 + 27*l - 7. Give -6*d(x) + 7*o(x). -4*x**3 + 20*x Suppose -292*g + 296*g - 56 = 0. Let n(m) = 6*m + 8 + 3*m**2 - 4*m**2 + 7*m**2. Let r(q) = -2*q**2 - 2*q - 3. Give g*r(a) + 5*n(a). 2*a**2 + 2*a - 2 Let k(m) = 21*m**2 + 36*m + 24. Let y(b) = b**2 + 2*b + 1. Give -k(d) + 18*y(d). -3*d**2 - 6 Let m(f) = -3*f - 5. Let u(q) = 13*q - 9. Let y(t) = 8*t - 5. Let j(r) = 3*u(r) - 5*y(r). Determine 10*j(o) - 4*m(o). 2*o Let w(s) = -9*s**3 + 2*s. Let a(z) = z**3 - 2*z**3 - 275*z - 8*z**3 + 278*z. What is -2*a(o) + 3*w(o)? -9*o**3 Let t(y) = -42*y + 3. Let o(c) = -c. What is 18*o(h) - t(h)? 24*h - 3 Let i(l) = 4*l**2 + l + 82. Let g(p) = 11*p**2 + 3*p + 246. What is -3*g(d) + 8*i(d)? -d**2 - d - 82 Let t(z) = -308*z**3 + 6*z**2 + 17. Let v(r) = -103*r**3 + 2*r**2 + 6. Determine -6*t(s) + 17*v(s). 97*s**3 - 2*s**2 Let n(f) = f**3 - 1. Let k(x) = 5*x**3 - x**2 - 4. Suppose -4*d + 4*a = 4, 3*d + a = -4 - 3. What is d*k(s) + 11*n(s)? s**3 + 2*s**2 - 3 Let u(y) = y**2 - 1. Let j(s) = -16*s**2 + 2*s - 3. Give -j(v) + 4*u(v). 20*v**2 - 2*v - 1 Let g(t) be the third derivative of t**4/8 + t**3/3 + 4*t**2 - 118*t. Let i(p) = -5*p - 4. What is 5*g(w) + 2*i(w)? 5*w + 2 Let y(c) = -25*c**2 + 5*c - 34. Let q(b) = -13*b**2 + 3*b - 16. Determine 7*q(r) - 4*y(r). 9*r**2 + r + 24 Let x(r) = -8*r - 3. Let l(j) = j + 15 + 37 - 51. Calculate -4*l(v) - x(v). 4*v - 1 Let n be 8 - 7*(-36)/(-42). Let z(i) = 2*i**3 - 3*i + 2. Let w(f) = 2*f**3 - 2*f + 2. What is n*z(b) - 3*w(b)? -2*b**3 - 2 Let d(c) = -16*c - 3*c - 18*c + 1 + 36*c. Let b(y) = -13*y - 5. Calculate b(g) + 5*d(g). -18*g Let x(k) = -6*k**2 + 16*k - 5. Let z(q) = 11*q**2 - 31*q + 9. Give -7*x(d) - 4*z(d). -2*d**2 + 12*d - 1 Let m(a) = a**2 + a - 1. Let l(u) be the third derivative of u**5/60 - u**3/6 + 31*u**2 - u. Calculate l(q) + m(q). 2*q**2 + q - 2 Let r(s) = s**2 + 11*s - 124. Let q be r(-18). Let f(h) = -3*h**2 - 2*h - 8. Let j(v) = 3*v**2 + 3*v + 8. Give q*j(b) + 3*f(b). -3*b**2 - 8 Let x(k) = -2*k**2 + 10*k. Let t be x(5). Let y be t + (-9)/(9/(-4)). Let z(g) = 2*g**3 + 2*g + 6. Let v(a) = 2*a**3 + a + 5. Calculate y*v(f) - 3*z(f). 2*f**3 - 2*f + 2 Let v(u) = u + 1. Let c(f) = 2*f**3 + 2*f + 2. Let b = 30 - 14. Let y = 21 - b. Suppose -n + 2*n + 1 = -y*w, -n + 7 = -3*w. Calculate w*c(r) + 2*v(r). -2*r**3 Let s(u) = -14*u + 76. Let n(w) = 11*w - 76. Determine -5*n(b) - 4*s(b). b + 76 Let g(o) = o**2. Let i(h) = -3*h**2 - 1. Let y(r) = 12*r - 16. Let u be y(2). Suppose -9*p - u = -17. Determine p*i(v) + 5*g(v). 2*v**2 - 1 Let z(w) = w**2 + 2. Let l(c) = -3*c**2 + 2*c + 10. Calculate l(r) + 2*z(r). -r**2 + 2*r + 14 Let m = 69 + 51. Let c(y) = -m*y**2 + 63*y**2 + 2*y + 58*y**2 - 2
{ "pile_set_name": "DM Mathematics" }
of a litre? 1625 What is 627.9321 millilitres in litres? 0.6279321 How many kilograms are there in 51/5 of a tonne? 10200 How many years are there in twenty-one halves of a century? 1050 Convert 3945.612 millennia to months. 47347344 How many seconds are there in twenty-three thirds of a minute? 460 Convert 23233532.4 milliseconds to days. 0.268906625 How many litres are there in 0.4712198ml? 0.0004712198 What is 21/5 of a microsecond in nanoseconds? 4200 Convert 6.511836ml to litres. 0.006511836 Convert 0.9184551um to centimeters. 0.00009184551 How many millilitres are there in 441.7438 litres? 441743.8 How many years are there in 7/2 of a decade? 35 What is fifty-one quarters of a millimeter in micrometers? 12750 Convert 44.91171 millennia to centuries. 449.1171 What is 764997.8 micrograms in grams? 0.7649978 Convert 27086.799 months to decades. 225.723325 How many millilitres are there in 25/2 of a litre? 12500 Convert 57592.52 hours to microseconds. 207333072000000 What is 3/10 of a gram in milligrams? 300 What is seven quarters of a second in milliseconds? 1750 What is 233734.4 litres in millilitres? 233734400 How many milligrams are there in 4.604903kg? 4604903 What is 0.231523 millennia in decades? 23.1523 What is 41/2 of a millimeter in micrometers? 20500 What is 37/2 of a second in milliseconds? 18500 How many nanometers are there in 3/10 of a micrometer? 300 How many microseconds are there in 3/8 of a millisecond? 375 How many centimeters are there in 1/5 of a meter? 20 How many millimeters are there in 4.717925m? 4717.925 What is 1.198239mm in centimeters? 0.1198239 How many micrometers are there in 257215.6mm? 257215600 How many millilitres are there in 3/10 of a litre? 300 What is 3.997024 litres in millilitres? 3997.024 What is one fifteenth of a decade in months? 8 Convert 9378.961 decades to months. 1125475.32 What is 97/2 of a day in minutes? 69840 What is eleven eighths of a kilometer in meters? 1375 What is fifteen quarters of a millimeter in micrometers? 3750 What is 3266.329mm in centimeters? 326.6329 What is 52.8899 millilitres in litres? 0.0528899 How many months are there in 308.6321 millennia? 3703585.2 Convert 83805.79 micrograms to milligrams. 83.80579 What is 0.6181629 decades in years? 6.181629 What is 77.48621kg in nanograms? 77486210000000 What is 8/25 of a micrometer in nanometers? 320 How many months are there in one quarter of a year? 3 Convert 0.1039604kg to micrograms. 103960400 What is 67/5 of a litre in millilitres? 13400 Convert 3151.6 litres to millilitres. 3151600 What is 13671.27342s in weeks? 0.02260461875 How many nanometers are there in 12/25 of a micrometer? 480 What is 11/8 of a minute in milliseconds? 82500 How many millilitres are there in 67.36471 litres? 67364.71 What is 51/4 of a microgram in nanograms? 12750 What is 11/2 of a century in decades? 55 Convert 0.5773509cm to millimeters. 5.773509 What is 1/20 of a milligram in nanograms? 50000 What is 76440.3 centimeters in meters? 764.403 How many millilitres are there in thirty-one fifths of a litre? 6200 What is 3/5 of a century in months? 720 What is 3/5 of a decade in years? 6 What is 9681.842 centuries in years? 968184.2 What is five eighths of a litre in millilitres? 625 What is twenty-nine halves of a decade in months? 1740 How many centuries are there in 4.22023 years? 0.0422023 How many meters are there in 51/5 of a kilometer? 10200 How many litres are there in 0.5425804ml? 0.0005425804 How many millilitres are there in seventeen halves of a litre? 8500 What is 2/15 of a week in seconds? 80640 How many nanoseconds are there in 3/25 of a microsecond? 120 What is 13/4 of a century in years? 325 Convert 4913.535um to kilometers. 0.000004913535 Convert 60.75784ms to nanoseconds. 60757840 How many millimeters are there in seventy-one fifths of a meter? 14200 How many nanograms are there in 43/2 of a microgram? 21500 What is 6817.464 millennia in months? 81809568 What is 45/8 of a gram in milligrams? 5625 Convert 17.24805 litres to millilitres. 17248.05 What is 43/4 of a microgram in nanograms? 10750 Convert 0.7153434l to millilitres. 715.3434 What is 225569.5 litres in millilitres? 225569500 How many millilitres are there in 49/5 of a litre? 9800 How many microseconds are there in 2729.991 milliseconds? 2729991 Convert 9947.55ug to milligrams. 9.94755 What is 5/4 of a litre in millilitres? 1250 How many seconds are there in 1/5 of a day? 17280 Convert 4.066513l to millilitres. 4066.513 How many centuries are there in six fifths of a millennium? 12 How many months are there in thirty-one sixths of a decade? 620 What is 0.7861235 milligrams in nanograms? 786123.5 What is 526.885 years in centuries? 5.26885 What is eleven quarters of a century in months? 3300 What is 11/2 of a year in months? 66 How many meters are there in 5/4 of a kilometer? 1250 What is fourty-five halves of a litre in millilitres? 22500 What is 42.32593 litres in millilitres? 42325.93 How many months are there in 862577.7 millennia? 10350932400 What is 79311.97 millennia in years? 79311970 How many weeks are there in 999.6371 days? 142.8053 What is three tenths of a litre in millilitres? 300 What is 14293.72m in millimeters? 14293720 What is ten ninths of a day in seconds? 96000 Convert 0.251192 millennia to years. 251.192 Convert 715.2704 seconds to microseconds. 715270400 How many seconds are there in 7/2 of a minute? 210 Convert 20723.83ml to litres. 20.72383 What is 2260.046 days in milliseconds? 195267974400 How many years are there in twenty-seven halves of a century? 1350 What is 1/10 of a millisecond in microseconds? 100 What is 720.0383l in millilitres? 720038.3 How many microseconds are there in 364216.1 milliseconds? 364216100 What is 110.357 kilometers in millimeters? 110357000 What is twenty-nine halves of a century in years? 1450 What is 25/4 of a kilogram in grams? 6250 What is 3336.8 micrometers in nanometers? 3336800 What is 624.6774 minutes in days? 0.43380375 What is fifty-nine quarters of a litre in millilitres? 14750 What is five quarters of a millisecond in microseconds? 1250 How many grams are there in 11/2 of a kilogram? 5500 What is 2925.405 milligrams in nanograms? 2925405000 How many millilitres are there in 22725.05 litres? 22725050 What is 3/5 of a century in months? 720 How many centimeters are there in twenty-seven fifths of a meter? 540 How many hours are there in 5.3788761us? 0.00000000149413225 How many millilitres are there in 43/2 of a litre? 21500 What is one twentieth of a tonne in grams? 50000 What is 1/4 of a meter in millimeters? 250 What is fourty-six fifths of a litre in millilitres? 9200 Convert 34683.59 litres to millilitres. 34683590 How many litres are there in 60858.96 millilitres? 60.85896 How many meters are there in 0.0186505 millimeters? 0.0000186505 What is 42/5 of a millennium in years? 8400 How many kilometers are there in 0.6950904 centimeters? 0.000006950904 What is 86.21177 kilometers in centimeters? 8621177 How many micrograms are there in one tenth of a gram? 100000 What is 21/2 of a millennium in centuries? 105 What is 31/2 of a day in hours? 372 What is twenty-seven fifths of a milligram in micrograms? 5400 How many minutes are there in seventeen halves of a hour? 510 Convert 403276.9 seconds to nanoseconds. 403276900000000 Convert 0.0620351l to millilitres. 62.0351 Convert 4.79647l to millilitres. 4796.47 Convert 75445.73 kilometers to meters. 75445730 What is twenty-five halves of a microsecond in nanoseconds? 12500 How many seconds are there in 19/4 of a hour? 17100 What is 4.424444m in nanometers? 4424444000 What is 3/10 of a meter in centimeters? 30 Convert 59315.98 years to millennia. 59.31598 What is 1/4 of a milligram in micrograms? 250 How many seconds are there in 75316.83 days? 6507374112 How many kilometers are there in 72500.53 centimeters? 0.7250053 What is thirteen quarters of a hour in seconds? 11700 How many months are there in 1/24 of a millennium? 500 Convert 7147.978mg to micrograms. 7147978 What is two fifteenths of a hour in seconds? 480 How many microseconds are there in 2671.123s? 2671123000 Convert 10.88573ml to litres. 0.01088573 How many millilitres are there in one fifth of a li
{ "pile_set_name": "DM Mathematics" }
375 or 379? 375 Which is smaller: 11/8 or -7? -7 Which is greater: -505 or -522? -505 Is -2/127 smaller than 1? True Which is smaller: -4/6965 or 1? -4/6965 Which is greater: -678 or 19? 19 Is -1 greater than or equal to -8/107? False Do -0.05 and -0.17 have different values? True Which is bigger: -1 or 9/253? 9/253 Is -9766 at least -9768? True Are 1 and 1/1043 equal? False Which is bigger: 2476 or 2477? 2477 Which is greater: 0.3 or -0.63? 0.3 Are 66 and 61 nonequal? True Is 190 bigger than 197? False Are -1 and -1/122 nonequal? True Is 1 bigger than 22/807? True Is 1 < 1/7955? False Which is smaller: 1 or 3/2819? 3/2819 Are 44 and 46 equal? False Which is bigger: 70 or 13? 70 Which is greater: 1/1775 or 1? 1 Is 24/65 != 0? True Do 13 and -2077 have different values? True Are -42 and -40 unequal? True Is -684 less than -687? False Is 1177/3 greater than or equal to 393? False Which is smaller: 4639 or 4637? 4637 Which is smaller: -2/75 or -8? -8 Is 219 > 224? False Is 2062 bigger than 2061? True Which is bigger: -44.3 or -1/3? -1/3 Which is greater: -1052 or -1053? -1052 Which is smaller: 133/6 or 21? 21 Is -7.9 >= 8/9? False Which is smaller: -2 or -28/33? -2 Is -4160 less than 0.6? True Is 116 smaller than 153? True Which is bigger: 1 or 2/26335? 1 Is 962 greater than 963? False Which is greater: 4/805 or -1? 4/805 Are -616 and -615 unequal? True Which is bigger: -397 or -395? -395 Are 7 and -8 non-equal? True Is -3/2 smaller than -0.0641? True Is -1 <= 1/233? True Is -68/9 smaller than -9? False Is -1 <= -23/198? True Which is smaller: 15 or -12? -12 Which is smaller: 2/423 or 0? 0 Do -0.2 and 58 have different values? True Is -1 > 26/1791? False Is 107 smaller than -1/5? False Is -29 less than -4? True Are 31.8 and -0.062 equal? False Is -2841 not equal to -2842? True Is -9.9 less than or equal to 0.1? True Which is smaller: -1098 or -1109? -1109 Is 351 greater than 3? True Is 7 greater than -787? True Is -248 equal to -232? False Is -1 greater than -2/26223? False Which is smaller: 1 or 1/50? 1/50 Is -800 > 1? False Which is smaller: 58 or 52? 52 Which is smaller: 2/3 or 1173? 2/3 Which is bigger: 1517 or 1515? 1517 Which is smaller: 4/11527 or 0? 0 Which is smaller: -1922 or -1921? -1922 Is -39453 != -39453? False Which is greater: -688/33 or -22? -688/33 Which is smaller: -118 or 0? -118 Is 21 greater than 25? False Is 16417/2 at least as big as 8209? False Is 1 at least as big as 8143? False Are 4/49 and 0 equal? False Do 0.4 and 0.0499 have the same value? False Which is bigger: -0.055 or -17/2? -0.055 Is -46/865 at least as big as 0? False Is 13 bigger than 212/17? True Is -2.2 at least as big as -56? True Which is greater: 5/4 or 50.7? 50.7 Which is smaller: 7395 or -0.1? -0.1 Is -527 less than -521? True Is 149 bigger than 149? False Which is smaller: -27/26 or -1? -27/26 Which is smaller: -1 or 2.2? -1 Is 326 >= 49? True Is -7 < -33? False Which is greater: 2/18261 or -1? 2/18261 Which is greater: -1.7 or -13/170? -13/170 Is -430 != -430? False Which is greater: -1 or -29/48? -29/48 Which is greater: -31/107 or -1? -31/107 Which is smaller: 88 or 175/2? 175/2 Are 5 and -108 nonequal? True Is 1316 less than -4? False Are 1 and 10/9 unequal? True Which is bigger: -258 or -259? -258 Is -2/55 < 35? True Is 0 > -1/9? True Is 133 < -21? False Is 1812 less than 9053/5? False Is 0.3 != 0.02? True Which is greater: -5/133 or -1? -5/133 Which is smaller: -2 or -2/265? -2 Does -80/7 = -10? False Are -0.04 and 0.048 nonequal? True Which is bigger: 2 or 0? 2 Which is bigger: 229 or -2? 229 Which is smaller: -2 or 84? -2 Is -2/7 > 4/9? False Which is smaller: 1 or 2/133? 2/133 Is 2/9007 not equal to 0? True Is 17 at least 401? False Which is smaller: -856 or 2/5? -856 Which is greater: 1 or 7/6548? 1 Which is smaller: -2/3 or -1339? -1339 Is 2250 greater than 2250? False Does -1/17 = -42? False Which is smaller: 28 or 622/3? 28 Is -194 smaller than -196? False Is -697/15 > -47? True Which is greater: -2/26185 or 0? 0 Which is bigger: -3/7 or -89/8? -3/7 Is -36 > -12? False Which is smaller: -137/4 or -3? -137/4 Is -2/257 at most as big as 0? True Which is smaller: 1/32482 or 0? 0 Which is bigger: 217 or 431/2? 217 Is -1133 smaller than -1145? False Which is greater: -6/295 or -1? -6/295 Which is smaller: 78 or 80? 78 Does -42 = -1241/29? False Which is bigger: 0 or -5/96? 0 Which is smaller: -0.04 or 29? -0.04 Do -0.97 and 31 have different values? True Is -143 not equal to -145? True Is -5901 greater than -5901? False Is -3917 at most -3918? False Which is greater: -1/2 or -2/163? -2/163 Which is smaller: -17 or -21? -21 Which is bigger: 9/3436 or 1? 1 Is -2444 < -14657/6? True Is -501 less than 0? True Are 80 and 80 non-equal? False Which is smaller: -46 or -43? -46 Which is smaller: 2 or 18/29? 18/29 Is -11 smaller than -193/16? False Are 19/10 and 0 equal? False Which is smaller: 307 or 308? 307 Are 0 and 7/3804 nonequal? True Which is smaller: -35 or -36? -36 Is 143 less than or equal to 573/4? True Do 3022 and 3021 have different values? True Are -334 and -998/3 equal? False Which is bigger: -292 or -263? -263 Which is smaller: 198/571 or 1? 198/571 Is 28 bigger than 47? False Which is smaller: -0.3 or 42/31? -0.3 Is -1/156 less than 3? True Which is smaller: 106 or -51? -51 Which is smaller: 0.01 or -287? -287 Do 123/34 and 3 have different values? True Which is smaller: -1/477 or 0.3? -1/477 Is 11 bigger than 54/5? True Is -649 less than -647? True Which is smaller: 0 or 14/3121? 0 Is -2 bigger than -14? True Do 3/23 and -0.9 have the same value? False Do -82 and -1 have the same value? False Is 76/51 <= 2? True Which is smaller: -296/5 or -58? -296/5 Is -1 < 104/257? True Is 93 smaller than 97? True Is 1/24 > -111? True Are -163 and -162 equal? False Which is smaller: -1521 or -1529? -1529 Are 6.1 and 1/19 unequal? True Is 2 less than or equal to 70? True Which is greater: -3552 or -3554? -3552 Is -2 less than -46/31? True Which is bigger: 2/2655 or 1? 1 Which is greater: -3/1627 or 1? 1 Is 408 greater than 399? True Which is greater: -9/152 or 0? 0 Are 7688 and 7687 equal? False Is 10/93 bigger than -1? True Which is smaller: 4 or 7? 4 Which is smaller: 508 or 1520/3? 1520/3 Which is bigger: 21 or 1.5? 21 Is -42 bigger than -42? False Is 0.1 bigger than -0.71? True Is -3228 <= -3227? True Which is bigger: 675/4 or 170? 170 Is 5 > -233? True Which is bigger: 49476/5 or 9896? 9896 Which is smaller: -1139 or -1138? -1139 Which is greater: 13 or 19? 19 Which is smaller: -33.4 or 1? -33.4 Is 1 less than -2/81? False Which is bigger: -125 or -121? -121 Do -6 and 2 have the same value? False Is -437 greater than -437? False Is 0 at most as big as -2/14429? False Which is smaller: -5 or -74/21? -5 Is 1393 < 1395? True Is -547 at most as big as -549? False Which is bigger: -15 or -26? -15 Which is greater: -1 or -20/71? -20/71 Which is greater: -8478 or -8477? -8477 Does 837 = 827? False Is -30 at least 2? False Is 3236 <= 3236? True Is -757 at most -0.1? True Is -1 > -1/1516? False Is 1 > 39/16? False Is 394 not equal to 396? True Which is bigger: -6/26417 or 0? 0 Which is greater: -7/5 or 0.03? 0.03 Is -5093 at most -5093? True Which is smaller: 1 or -0.013? -0.013 Which is smaller: -67 or -44? -67 Is 4 bigger than 290? False Is 7910 <= 7911? True Which is smaller: 124 or 119? 119 Is 1 < 3/400? False Do -224/19 and -13 have the same value? False Is -1 less than -32? False Is 3/43 greater than or equal to -1? True Do 10 and -0.24 have the same value? False Do 3220 and 0.1 have different values? True Which is smaller: 0.06 or -1327? -1327 Which is smaller: -17/7 or 35? -17/7 Which is smaller: 28 or 45? 28 Is 1 less than or equal to 39/976? False Which is greater: 2/209 or -1? 2/209 Is -0.6558 less than 2? True Which is bigger: 228 or 227? 228 Are 103 and -6/5 unequal? True Is 1 smaller than -1/24925? False Is -3222 < -3222? False Which is smaller: 1963 or 1964? 1963 Which is smaller: -26 or -42? -42 Is -266 < -15? True Which is smaller: 708 or 707? 707 Is -6/469 smaller than 1? True Is 646 bigger than 646? False Is 956 smaller than 960? True Which is greater: 72 or 514/7? 514/7 Is 0 smaller than 533? True Is -3021 smaller than 0? True I
{ "pile_set_name": "DM Mathematics" }