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4*q**2/9 + 16*q/3 - 16. Solve g(c) = 0. -3, -2/5, 2 Let a(d) = d**2. Let w(r) = 4*r + 4. Let x(s) = -a(s) - w(s). Find k, given that x(k) = 0. -2 Let s = 2 + 0. Let y be 0/(2/(4/(-2))). Factor 0 + 1/2*b**3 + y*b + 0*b**s. b**3/2 Let y(v) be the second derivative of v**5/70 + v**4/21 + 11*v. Factor y(d). 2*d**2*(d + 2)/7 Suppose -h = -2 + 3. Let s be (2/5)/(h/(-10)). Factor 2*j**5 - 3*j**4 - j**5 - s*j + j + 2*j**2 + 1 + 2*j**3. (j - 1)**4*(j + 1) Suppose -2*h + q + 10 = -0*h, 4*q = -4*h - 4. Let u be (h/6)/(0 + 1). Suppose 0 + i**3 - 1/2*i**2 - u*i**4 + 0*i = 0. Calculate i. 0, 1 Factor d + 0 - 1/2*d**4 + 2*d**3 - 5/2*d**2. -d*(d - 2)*(d - 1)**2/2 Suppose -2*v - 28 = -16*v. Find r, given that -2/5*r + 4/5*r**3 + 4/5*r**v - 2/5 - 2/5*r**4 - 2/5*r**5 = 0. -1, 1 Let i(v) = v**3 + 4*v**2 + 1. Let y be i(-4). Let d be ((-1)/(-3))/(y/15). Find n such that d*n + n**3 + 2*n**2 - 4*n + 0*n**3 = 0. -1, 0 Factor 3/4*j**4 + 27/4*j**2 + 21/4*j + 15/4*j**3 + 3/2. 3*(j + 1)**3*(j + 2)/4 Suppose 4*t**3 + 9 - 23 + 13 - 9*t**2 + 6*t = 0. Calculate t. 1/4, 1 Let y = 7 + -8. Let q be 2*(y + 4/2). Solve 2*u**2 - 3*u**q + 0*u**4 + u**4 + u**5 - u**3 = 0 for u. -1, 0, 1 Let r(u) be the first derivative of u**6/30 + u**5/4 + 2*u**4/3 + 2*u**3/3 - 3*u + 2. Let l(w) be the first derivative of r(w). Let l(a) = 0. Calculate a. -2, -1, 0 Let i(z) be the second derivative of -z**8/3360 - z**7/420 + z**5/15 - z**4/3 - 4*z. Let h(l) be the third derivative of i(l). Suppose h(n) = 0. What is n? -2, 1 Let t be 2 - (4 + (-322)/160). Let u(d) be the third derivative of 0*d**3 - d**2 + 0*d + t*d**5 + 1/96*d**4 + 0. Factor u(w). w*(3*w + 1)/4 Let a(z) = 3*z**2 - z. Let b be a(-1). Determine m so that -b*m - 2*m + 4*m + 1 + 4*m + m**2 = 0. -1 Let q(i) be the second derivative of i**6/15 + 3*i**5/10 - i**4/3 - 4*i**3 - 8*i**2 + 3*i. Suppose q(w) = 0. What is w? -2, -1, 2 Suppose -16*p + 11*p**3 - 8*p**2 + 5*p**3 - 11*p + 11*p + 12 - 4*p**4 = 0. Calculate p. -1, 1, 3 Let s(d) be the second derivative of -d**7/840 + d**6/240 + d**4/12 - 7*d. Let n(w) be the third derivative of s(w). Factor n(y). -3*y*(y - 1) Let f(x) be the second derivative of -x**7/280 - 7*x**6/1080 + x**5/180 + 2*x**3/3 - x. Let s(a) be the second derivative of f(a). What is d in s(d) = 0? -1, 0, 2/9 Let j = -6 + 9. Let m(s) be the second derivative of -3*s + 2/9*s**2 + 0 + 2/27*s**4 - 1/90*s**5 - 5/27*s**j. Solve m(r) = 0. 1, 2 Let v(u) be the third derivative of u**7/105 - u**5/15 + u**3/3 + 19*u**2. Factor v(k). 2*(k - 1)**2*(k + 1)**2 Suppose 0*t + 3/2*t**5 - 3/2*t**3 + 0*t**4 + 0*t**2 + 0 = 0. What is t? -1, 0, 1 Find m, given that 0 - 3/7*m**2 + 6/7*m = 0. 0, 2 Suppose 4*i = -0*p - 4*p + 24, 3*i = 3*p - 18. Solve p*t**2 - 2*t**4 - t**2 + t**2 - 17*t + 13*t = 0. -2, 0, 1 Let t = -5 - -6. Factor -2 - 13*g**3 - 18*g + g**3 - 27*g**2 - t. -3*(g + 1)**2*(4*g + 1) Let z(n) be the third derivative of -1/210*n**7 + 0*n + 0 + 0*n**3 + 0*n**5 - 11*n**2 + 0*n**4 + 1/120*n**6. Factor z(u). -u**3*(u - 1) Let y(x) be the second derivative of x**5/30 - 17*x**4/90 + 16*x**3/45 - 4*x**2/15 + 8*x. Factor y(h). 2*(h - 2)*(h - 1)*(5*h - 2)/15 Let x(z) be the second derivative of -1/3*z**3 + 1/2*z**2 + 0*z**4 - 1/30*z**6 + 1/10*z**5 + 0 - 7*z. Factor x(w). -(w - 1)**3*(w + 1) Let s be ((-2)/5 - -1)/((-74)/(-185)). Factor s*d**3 + 0*d**4 + 0*d + 0*d**2 + 0 - 3/2*d**5. -3*d**3*(d - 1)*(d + 1)/2 Suppose q + 7 = 2*a - 0*a, -3*q + 24 = 3*a. Suppose 0 = -r + q*y - 13 + 3, -4*y + 16 = 0. Determine n, given that n**2 + r*n + n**3 - 5*n**4 - 3*n + 4*n**4 = 0. -1, 0, 1 Find z, given that 8 + 7*z + 16*z**2 + z + 2*z**2 + 32*z = 0. -2, -2/9 Suppose 4 = 2*h - 0*h. Suppose h*s + 2*s = -2*f + 8, 2 = 3*f - 4*s. Suppose 3*c**3 - 3*c**4 + c**3 + 4*c**4 - 4*c + 3*c**f - 4 = 0. What is c? -2, -1, 1 Let a(r) be the second derivative of r**5/80 + r**4/24 + r**3/24 + 6*r. Factor a(c). c*(c + 1)**2/4 Let x(d) be the third derivative of d**8/112 - d**6/40 + 5*d**2. Factor x(r). 3*r**3*(r - 1)*(r + 1) Let m(c) = -c**2 - 5*c - 6. Let h(x) = -5*x**2 - 20*x - 25. Let l(g) = -6*h(g) + 25*m(g). Factor l(n). 5*n*(n - 1) Let a(v) be the third derivative of -v**5/100 + v**4/30 + 2*v**3/15 + 7*v**2. Factor a(t). -(t - 2)*(3*t + 2)/5 Let b(q) = 3*q**3 - 4*q + 4. Let o(f) = -4*f**3 + 5*f - 5. Let m = 3 + -7. Let s(i) = m*o(i) - 5*b(i). Factor s(w). w**3 Suppose 0 = 3*u - 4*u + 11. Factor u - 3*j**2 - 3 + 2 - 6*j - 1. -3*(j - 1)*(j + 3) Let n be (2/(-4))/(2/(-8)). Factor 2/7*m**3 - 2/7*m**n + 0 + 0*m. 2*m**2*(m - 1)/7 Let c(r) be the second derivative of r**5/270 + r**4/18 + r**3/3 + 3*r**2/2 - 6*r. Let w(k) be the first derivative of c(k). Factor w(m). 2*(m + 3)**2/9 Let r = 7 + -3. Suppose -3*c = 2*c - 10. Suppose 14*v - 10*v**c - r*v - 4 + 4*v = 0. What is v? 2/5, 1 Suppose -m - 2*m = 27. Let o = -6 - m. Solve 0*f + 2/3*f**o + 0 + 1/3*f**2 = 0 for f. -1/2, 0 Factor 13*k**4 - 4*k**4 + 39*k**5 + 6*k**3 - 36*k**5. 3*k**3*(k + 1)*(k + 2) Let 24 + 4*s - 5*s - 4*s - 3*s**2 - s = 0. What is s? -4, 2 Let r(b) = b**2 + 6*b - 10. Let q be r(-7). Let c be -2*(q + (-22)/(-8)). Let -1/2 + 1/2*y**2 - 1/2*y + c*y**3 = 0. What is y? -1, 1 Let l(j) = j**3 + 4*j**2 + 4*j + 5. Let p be l(-3). Let q(s) be the second derivative of -1/14*s**5 - 2/21*s**3 + 0*s**2 + p*s - 1/6*s**4 + 0. Factor q(t). -2*t*(t + 1)*(5*t + 2)/7 Let t(h) be the first derivative of 3*h**5/80 - h**3/8 - 4*h + 4. Let r(v) be the first derivative of t(v). Factor r(n). 3*n*(n - 1)*(n + 1)/4 Factor -2/7*v**3 + 0*v**2 + 0 + 0*v - 2/7*v**5 + 4/7*v**4. -2*v**3*(v - 1)**2/7 Let g(i) = -i**2 - 1. Let y = 5 - 0. Let r(v) = -v**2 - 2. Let l(z) = y*r(z) - 6*g(z). Solve l(c) = 0 for c. -2, 2 Let d = 9 + -11. Let q be -4 - -4 - d*1. What is u in 18/7*u**3 + 0 + 12/7*u**q + 2/7*u = 0? -1/3, 0 Let s(o) = o**2 - 8*o - 7. Let f be s(9). Suppose -10 = -f*m - 0. Solve -7 - 2*u + m*u**2 - 4*u**2 + 8 = 0 for u. 1 Suppose -2*j + 3 = j. Suppose -z + 1 + j = 0. Determine x, given that -5*x**3 - 4*x + 3*x**z + x**4 + 3*x**2 + x**3 + 1 = 0. 1 Let s(p) be the second derivative of -p**7/3780 + p**5/180 + p**4/54 - 5*p**3/6 - 2*p. Let i(f) be the second derivative of s(f). Factor i(r). -2*(r - 2)*(r + 1)**2/9 Let u be 72/(-108) - 2*16/(-30). Factor u*y**2 - 1/5*y**3 + 0 - 1/5*y**4 + 0*y. -y**2*(y - 1)*(y + 2)/5 Let r = 750/11 + -68. Factor -r*n + 0 + 2/11*n**2. 2*n*(n - 1)/11 Determine h, given that 1/8*h**3 - 1/8*h - 1/4*h**2 + 1/4 = 0. -1, 1, 2 Suppose 716*l - 90 + 10*l**2 - 821*l - 5*l**3 - 50*l**2 = 0. Calculate l. -3, -2 Factor -108*o**2 - 17*o**3 - 16 - 15*o**3 - 160*o - 32 + 12*o**3. -4*(o + 2)*(o + 3)*(5*o + 2) Let f(u) be the first derivative of u**4/12 + u**3/3 + u - 2. Let d(z) be the first derivative of f(z). What is r in d(r) = 0? -2, 0 Let v(f) be the third derivative of -f**5/270 + f**4/54 - f**3/27 - 3*f**2. Factor v(p). -2*(p - 1)**2/9 Let z = 29 - 26. Let l = -4 - -9. Factor 2*x**3 - 5*x**4 + 7*x**5 - z*x**l - x**5. x**3*(x - 1)*(3*x - 2) Factor -m + 14*m**2 - 57*m**3 + 55*m**3 - 11*m - 8*m. -2*m*(m - 5)*(m - 2) Suppose -l = 2*w - 1, 3 + 24 = 5*l - w. Solve -12 - l*u**2 - 24*u - 2*u**2 - 2*u**2 = 0 for u. -2, -2/3 Let p(i) be the first derivative of 8*i**4/17 - 80*i**3/51 - 23*i**2/17 - 6*i/17 + 10. Determine c so that p(c) = 0. -1/4, 3 Suppose -26*g**2 + 25*g**2 + 3*g - 2*g = 0. Calculate g. 0, 1 Let r(h) = -5*h**3 - 5*h**2 - 5*h - 4. Let s be r(-3). Determine b, given that s*b - 2*b**2 - 101*b + 2 = 0. -1, 1 Let a = 7 + -4. Factor 0 - 5*o**2 - 2*o**3 + a*o**2 - 6*o - 4*o**2 - 2. -2*(o + 1)**3 Let y(q) be the first derivative of 2/5*q**5 + 4*q**3 - 4*q**2 - 6 - 16*q + 5/2*q**4. Let y(c) = 0. Calculate c. -2, 1 Let k(y) be the third derivative of y**7/1260 + y**6/324 + y**5/270 - 5*y**3/6 + 2*y**2. Let v(r) be the first derivative of k(r). Factor v(l). 2*l*(l + 1)*(3*l + 2)/9 Let u(l) = l**2 - 3*l + 2. Let c(f) be the second derivative of f**3/3 - f**2 + f. Let h = 2 + -4. Let b(n) = h*u(n) - 3*c(n). Let b(p) = 0. What is p? -1, 1 Let y = -300 - -902/3. Let y + 0*p - 2/3*p**2 = 0. Calculate p. -1, 1 Let p(s) be the first derivative of s**6/9 + 2*s**5/15 - s**4/6 - 2*s**3/9 + 3. Factor p(u). 2*u**2*(u - 1)*(u + 1)**2/3 Factor 2*m**2 - 34/5*m + 12/5. 2*(m - 3)*(5*m - 2)/5 Let l(o) be the second derivative of 0 - 1/240*o
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
Solve -i = -r*i for i. 0 Let h = 4 - 1. Suppose 3*s - 5*s = h*w + 13, -4*w - 5*s = 22. Let y(x) = -2*x + 1. Let t be y(w). Solve 1 = -2*z + t for z. 3 Suppose -3*d + 44 = -14*d. Let s be d/(-2) - 3 - (15 - 19). Solve s*i + 1 = 4 for i. 1 Suppose 0 = -107*c + 98*c + 72. Solve 0 = -c*k + 19*k - 33 for k. 3 Suppose 3*t - 3*c = -4*c + 1, 4*t - 28 = 4*c. Suppose 0 = u + 2 - 1, 0 = -t*p - 2*u + 8. Suppose 4*j - 3 = 2*y + 1, -p*j = -3*y - 5. Solve y = s + 3*s for s. 0 Suppose 1152*y - 1173*y + 399 = 0. Suppose 6*p - 12 = 3*p. Solve -y + p = 5*j for j. -3 Suppose 5*b - 10 = 3*i - 33, 29 = 3*i - 2*b. Let h = i + -11. Suppose h*t - l + 11 = 5*t, 2*t - 10 = l. Solve -4*u - t = 5 for u. -2 Let o(m) = m**2 - 23*m + 48. Let c be o(21). Solve -t = -c*t + 25 for t. 5 Suppose -6*d + 11 = -7. Suppose -5*f + 2*f + 12 = 3*g, d*f - 2*g - 2 = 0. Solve 2*r = -f*r for r. 0 Suppose 0 = 5*m - 2*f - 56, 0 = -6*m + 2*m + 3*f + 42. Solve -2*u - m = 2*u for u. -3 Let k = 1838 + -1835. Solve 3*j - 4*j = k*j for j. 0 Let m(i) = -7*i - 251. Let k be m(-37). Solve -4*t = -8*t - k for t. -2 Suppose m - 20 = -4*h, -5*m + 52 = 4*h - 0*h. Solve 6*g - m = 2*g for g. 2 Suppose 84 = 2*j + 4*l, 5*j - 2*l - 24 - 138 = 0. Solve 0 = j*o - 8*o - 26 for o. 1 Let s = 29 + -17. Let j(y) = y**3 - 7*y**2 + 10*y + 6. Let m be 63/12 + (-2)/8. Let n be j(m). Solve n*f = 3*f + s for f. 4 Let g = -6 + 24. Solve 11*p - 5*p - g = 0 for p. 3 Let k be -6*6/16*16/(-3). Suppose 2*g = -2*g + k. Solve g*p = p for p. 0 Let x = 6 - 2. Let b(h) = 21*h**3 - 2*h**2 + 2*h - 1. Let w(p) = -p**3 - 3*p**2 + 4*p + 1. Let o be w(-4). Let q be b(o). Solve i + x*i = -q for i. -4 Suppose 5*l - 9 = 11. Let h(a) = -a + 7. Let d be h(4). Solve -l = -d*j - 13 for j. -3 Let h = 16 - 16. Let v be 6/(1 + h) - 3. Solve 0*u + 12 = -v*u for u. -4 Suppose 13 - 23 = -5*a. Solve -a*u - 1 = -3*u for u. 1 Suppose 0 = 5*z + 3*f - 32, 2*z = 3*z + 5*f - 24. Suppose 50 = -z*a + 6. Let c = a - -18. Solve 0 = -5*d - 13 - c for d. -4 Suppose -3*y = -v - 6, 0*y - y = v - 6. Let k be -1*6/y - -3. Let c = -2 - -4. Solve -k = c*l + 3 for l. -2 Let k be 0*(-2 + 5 + -4). Solve -8*c + k = -32 for c. 4 Let b(y) = -2*y + 9. Let k(d) = 3*d - 19. Let w(g) = 5*b(g) + 3*k(g). Let a be w(-8). Let l be (4 - 12/a) + -2. Solve s + 12 = l*s for s. 3 Suppose -18*y - 72 = -30*y. Solve 7*l - y*l = -5 for l. -5 Suppose -2*d = -156*w + 159*w - 46, -5*w + 82 = 4*d. Let r = 1 - -6. Solve 5*z + w = r*z for z. 5 Suppose 19*t - 23*t = -4. Solve 4*z = -t - 3 for z. -1 Suppose 0 = -12*p - 4*p + 480. Solve -7*f - 5 = p for f. -5 Let o be (-6)/((-24)/1)*4. Solve o = 5*z + 6 for z. -1 Suppose -y - 3*p = -0*p - 29, -82 = -4*y + 5*p. Suppose -t + y = -0*t + h, 5*t - 2*h = 80. Solve 0 = 5*g - 7 - t for g. 5 Suppose 3*a + 15 = 8*a. Suppose 3*b - 8 = 30*r - 31*r, 20 = b - 4*r. Solve a + 1 = b*x for x. 1 Let r be -2 + (-1)/(-1) - -19. Suppose 4*y - 3*p + 12 = 0, 2*p + 0 = -4*y + 8. Suppose 2*v + y*v = r. Solve 5*o = -16 - v for o. -5 Let f(h) = -3*h**2 + 12*h + 38. Let q be f(6). Solve 5*o = q*o for o. 0 Suppose -4*g + 3*k + 49 + 14 = 0, -g - 5*k = 13. Solve -16 = -4*h - g for h. 1 Suppose 15 + 7 = 11*n. Solve -6 = -n*w - 8 for w. -1 Let f be (-1020)/40*(-5 - (-65)/15). Solve -10*p = -f*p + 21 for p. 3 Let y be 525/50*(-2)/(-28)*12. Let f(k) = -3*k**2 + 8*k - 6. Let l(c) = c**2 - c + 1. Let t(w) = f(w) + 2*l(w). Let a be t(4). Solve -1 = -a*z - y for z. -2 Suppose 69 + 91 = 20*i. Solve 0 = k - 9 + i for k. 1 Let b = -34 + 36. Suppose -2*j + 12 - b = 0. Solve 5 = j*h - 10 for h. 3 Let i = -17 + 22. Suppose -f + 7 = -5*l, -i*f + 1 = 5*l - 4. Suppose 0 = -4*h - h + p + 26, 4*h - f*p - 16 = 0. Solve -h*b = -b + 15 for b. -3 Let o = -40 + 45. Suppose -3*l + 4 = o*k - 41, 0 = 5*l + 2*k - 56. Solve 4*u = 6 + l for u. 4 Suppose 5*g = 20, 4*g = 4*l - 7 - 1. Let i = 0 - l. Let b = 10 + i. Solve b*y = -y for y. 0 Suppose -5*f = -5*l - 3*f - 39, -8 = -4*f. Let w(s) be the first derivative of -s**4/4 - 8*s**3/3 - 7*s**2/2 + 3*s - 115. Let t be w(l). Solve p - 7 = -t for p. 4 Let z = -977 + 977. Solve 41*i - 29*i + 36 = z for i. -3 Suppose 3*m - 742 = -50*m. Solve 17*y - 6 = m*y for y. 2 Suppose -162 = 6*j - 0*j. Let g = j + 36. Solve -g = -0*z + 3*z for z. -3 Suppose -d - 3 = -3*u, -3*d + d = u - 15. Suppose -29 = -7*l + d. Solve 0 = -l*p + 5 for p. 1 Let s(y) = y**3 - 6*y**2 - 8*y + 7. Let x be s(7). Suppose -3*p - 3*z - 94 = -z, 4*z - 186 = 5*p. Let f = -30 - p. Solve -4*g - f = -x*g for g. -1 Let l be 2 + 1*(-1 - -2). Suppose p = l*p. Let f(i) = 2*i**2 + 14*i - 13. Let m be f(-8). Solve -m*a = -p*a for a. 0 Suppose -s - 2*a + 19 = 2*s, -4*s + 2*a + 30 = 0. Solve -18 - 3 = -s*m for m. 3 Let a(d) = -2*d - 17. Suppose l - 2*y + 4 + 21 = 0, l + 10 = -3*y. Let u be a(l). Let w = u - 15. Solve -w*c = -2*c for c. 0 Let j = -98 - -102. Solve -x - j*x + 10 = 0 for x. 2 Suppose 0 = -5*k - 4*u + 38, -65 = -5*k + u - 12. Solve -k = 3*j - 1 for j. -3 Suppose 0 = 3*j - 15 - 75. Suppose -4*o = o - j. Suppose 4*x = -10*x + 14. Solve -c = o - x for c. -5 Suppose -2*g + 59 - 59 = 0. Solve 2*p + 28 - 30 = g for p. 1 Let v = 21 + -21. Suppose 6*u - 3*u - 96 = v. Let b = 47 - u. Solve 10*d - 5*d = -b for d. -3 Let s(c) = -6*c + 5. Let m be s(2). Let b = m + -3. Let w be (12/b)/(2/(-5)). Solve 5*n + w = -7 for n. -2 Suppose 6*f - 2*f = -48. Let a = -15 - f. Let o be 14/42 - (-1)/a. Solve o = 3*j - j + 10 for j. -5 Suppose -b - 10 - 15 = 2*i, -2*i - 5*b - 29 = 0. Let r(q) = 2*q + 2. Let o be r(-7). Let p = o - i. Solve 2 = 2*c - p for c. 1 Let r(m) = m**2 - 4*m + 5. Let f be r(5). Solve 6*q + 34 = f for q. -4 Suppose -7*o + 12*o - 45 = 0. Suppose -p - o = -5*l + p, 3*l - 24 = -5*p. Suppose -l*q + 10 - 4 = 0. Solve 1 - 5 = -q*f for f. 2 Suppose -31*d - 34 = -48*d. Solve 11*g - d*g = -27 for g. -3 Let l be 6/5*(43 + -3). Suppose -q = 2*q - l. Suppose 4*g - q - 40 = 2*f, 53 = 3*g + 4*f. Solve -4*r + r = g for r. -5 Let s = 7 + -3. Let x(f) = -1010*f**2 + 52 + 1009*f**2 - 16. Let a be x(6). Solve -s*k = -a*k + 20 for k. -5 Let h = -1 + 15. Suppose 2*f - 3*a = 2*a - h, -13 = -3*f - a. Suppose 6*y = 3*y + f. Solve t + y = -0*t for t. -1 Let m be -5 + (3 - (-3 - 1)). Suppose -k - 4*n + 31 = 0, -2*k - k + 5*n + 76 = 0. Suppose -38 = -3*f - m*f - 3*c, -k = -4*f + c. Solve g = f - 4 for g. 3 Let l(u) be the second derivative of u**3/2 + 28*u**2 + 46*u. Let a be l(-18). Solve a*w = 1 - 3 for w. -1 Let v = -32 + 58. Suppose 3*k + v + 13 = -3*w, -k - 3*w - 21 = 0. Let i = k + 18. Solve 0 = 5*z - i - 1 for z. 2 Let x be -6*(-2 - -4)/4. Let l(k) = k**2 + k - 4. Let v be l(x). Let h be (10/6)/((-20)/(-12)). Solve v*o - 7 = h for o. 4 Let p = 56 - 54. Solve -4*m + p = -2*m for m. 1 Let h(y) = -y**3 + 9*y**2 - 3*y - 1. Let o be h(9). Let s be (-8)/o + 61/7. Let q = 11 - s. Solve 0 = -q*m - m for m. 0 Let b = -317 - -332. Solve -13 = -2*y - b for y. -1 Suppose 0 = -4*h + 4*b, -2*b - 24 = -3*h + 7*h. Let s be h/((-4)/6 + 16/(-12)). Suppose -3*c + 5*t = -24, -c - 3 = 2*t - 0. Solve c*o = -s*o - 15 for o. -3 Let v be (6/5)/((-3)/(-10)). Suppose -3*s - 5*a - 68 = 0, 4*s + 2*a = s - 56. Let j be (-17 - s)/(2/(-32)). Solve -v*o + j = -0*o for o. 4 Let l(m) = m**2 + 14*m - 87. Let r be l(5). Solve 6*v - r = -2*v for v. 1 Let d(v) = -v**3 + 7*v**2 + v - 6. Suppose m - 5*g + 7 + 14 = 0, -4*g + 16 = -m. Suppose -m*k + 41 - 13 = 0. Let i be d(k). Solve -x + 4 = i for x. 3 Suppose r = -1 + 7. Suppose -r = 3*j, n - 10 = -4*n - 5*j. Solve 3*y = n*y for y. 0 Let y(w) = w**3 + 6*w**2 - 12*w - 31. Let k be y(-7). Solve -k*p = 16 - 4 for p. -3 Let y be (12/(-9))/(-4)*3. Let t be (-6)/y*1/(-3). Suppose d - 2*d + 3*v + 5 = 0, t*d - 4*v = 8. Solve -3*o + 5*o = -d for o. -1 Suppose 5*a - 12 = 3. Let d be 432/1584 - (-24)/33*1. Solve -a*y - 8 = d for y. -3 Let v(s) = 3*s + 32. Let d be v(-10). Let n be (0 + -1 + 0)*-3. Solve d*i - n - 3 = 0 for i. 3 Suppose -2*y = -0*y - 3*a - 182, a = 5*y - 481. Let b = y + -95. Solve -z = -b*z - 2 for z. -2 Let h(d) = d**3 + 13*d**2 - 16*d - 28. Let g be h(-14). Suppose g = 22*a - 20*a - 6. Solve -a*n = -6*n - 3 for n. -1 Suppose -8*w - 10 = -3*w - 5*o, -2*w - 25 = 5*o. Let r(v) = 2*v + 12. Let n be r(w). Solve n*k + k + 6 = 0 for k. -2 Let v be 34/(-12) - 5/30. Let u be (1/v)/((-3)/9). Solve -n = -2 - u for n. 3
{ "pile_set_name": "DM Mathematics" }
20 = -3*m, 2*a - 39 = -5*m - 15. Suppose 0 = -2*c + m*t - 10 + 32, -c + 17 = -4*t. Solve 6*k + c = k for k. -1 Suppose -v + n = -9, -2*v - 2*n - n = -3. Suppose 0 = 3*p - v. Suppose -4 = o - 12. Solve -p*h = -0*h - o for h. 4 Let b be 0/(4/(8/6) - 1). Solve b = -3*j - j + 12 for j. 3 Suppose -3*o = -2*x + 2*o + 15, 115 = 5*x + 3*o. Suppose 12 - 2 = 5*d. Suppose 15 = -5*z, -d*z = 3*q + 2*z. Solve -x = l + q*l for l. -4 Suppose 3*d = -3*r, 3*r - 28 = 4*d - 0*d. Suppose b = -3*b + r. Suppose j = 7 + b. Solve -z - j = -3*z for z. 4 Let v(o) = -o - 16. Let u be v(-20). Solve s + u*s = 10 for s. 2 Let g(m) be the second derivative of -m**3/3 + m**2/2 + 2*m. Let h be g(-1). Suppose -n + t = -3*n + 5, -n + 16 = -4*t. Solve h*x - n = 8 for x. 4 Suppose 5*n - 3*o = 1 - 4, -3*n - 2*o = -2. Solve 0 = -2*s - 4 - n for s. -2 Let i(m) = 2*m + 23. Let y be i(-10). Suppose y*d = -0*d. Solve -a - 5 = -d*a for a. -5 Suppose a - 2 = 4*c, 0 = 3*a + 2*c + 2*c - 6. Solve a = 4*r + 6 for r. -1 Suppose 3*h - 35 = -5. Suppose 5*n = 3*n + h. Solve -d + n*d = 8 for d. 2 Suppose -4*f = -5*i - 23, -f - 4 + 3 = i. Let k be (-8 + (3 - 3))/(-2). Solve -b = -f*b + k for b. 4 Suppose 5*s - 20 = 0, -4 + 8 = 2*j + s. Solve 0 = 3*h - j - 15 for h. 5 Suppose i + 2*j - 1 = 3, 14 = 2*i + 2*j. Let a be 119/35 - (-6)/i. Solve 0 = l + a - 3 for l. -1 Let v(z) = 6 + 0*z - 12 - z. Let k be v(-6). Let m(i) = i**2 + 10*i + 13. Let d be m(-9). Solve -d*p + 6*p = k for p. 0 Suppose 14 = 3*r - 1. Solve -1 = -4*j - r for j. -1 Let m be -6*((-30)/9 - -3). Solve -m*d = -6*d - 20 for d. -5 Let a(p) be the second derivative of -p**5/20 + p**4/2 + p**3 + 9*p**2/2 + 3*p. Let k be a(7). Solve -4 = -k*f - 0 for f. 2 Let r(z) = z - 1. Suppose -4*i + l = 2 - 31, 0 = l + 1. Let m be r(i). Solve m = -4*c + c for c. -2 Suppose 0 = 2*k - 2. Solve 0 = -3*p - 5 - k for p. -2 Let n(u) = u**2 + 8*u + 7. Let w be n(-7). Suppose w = 3*h + v + 2, -v + 21 = h - 5*v. Solve 0*s - s - h = 0 for s. -1 Let j be ((-3)/2)/((-3)/12). Let k(b) = 5*b + 8. Let o(m) = -m. Let a(p) = k(p) + 6*o(p). Let v be a(j). Solve v - 6 = -2*q for q. 2 Let m be (-4)/(-18) + (-416)/(-72). Let d = m + -6. Solve -4*o + 3 - 23 = d for o. -5 Let i be (64/48)/((-8)/(-18)). Solve -1 = -i*l - 7 for l. -2 Suppose 0 = -m + 2*s + 12, 0 = -m + 2*m + 2*s - 24. Let k = 22 - m. Solve k*a - 3 = -7 for a. -1 Let s be (2 + -3)*1 - -6. Solve 2*p + 5 = -s for p. -5 Let j(l) = -9*l - 1. Let y be j(-1). Suppose -3*h + 6 = -i, -i = -0*h - 5*h + y. Solve 0 = 3*d + h - 7 for d. 2 Let u(i) = i**3 + 16*i**2 - 17*i. Let o be u(-17). Solve o = 3*j + 3 - 9 for j. 2 Let z be 7/1 + (-4 - -1). Let y be (-3 - 1)*(-2)/z. Solve 8 = -2*u + y for u. -3 Suppose -4*b + 7 = r - 7, -5*b + 28 = -4*r. Let z = b - 2. Suppose 5 + 0 = h. Solve z*j + 15 = h for j. -5 Let r = -6 + 3. Let l(o) = -o**3 - 4*o**2 - 3*o - 1. Let g be l(r). Let h be (0/2)/(g - 0). Solve k + h*k = -3 for k. -3 Suppose 2 - 12 = -5*o. Let b be (0 + -6)/(-1*(-6)/(-9)). Solve o*j - b = -j for j. 3 Let v(s) be the first derivative of 5*s**2 + 3 - 7*s + 1/3*s**3. Let d be v(-11). Solve -d*g = -g for g. 0 Let m = 8 + -6. Solve m = -k - k for k. -1 Let y = -3 + -1. Let l = -2 - y. Let u be (-1)/(l*2/(-24)). Solve 1 = -5*z + u for z. 1 Suppose 5*l + 4 = -1. Let i be (1 - 1) + l + 2. Solve 5 = 2*k + i for k. 2 Suppose -y = -5*k + 81, 0*k = k + 3*y - 13. Let g be -56*-10*1/(-8). Let m be 4/k - g/8. Solve -4*u + 5 = -m*u for u. -1 Let t be 1/(-1)*0/4. Let b(l) = -3 + 7 + l + 4 + t. Let c be b(-6). Solve -2*s + c = -s for s. 2 Let w = -7 - -15. Solve 0 = -w*v + 5*v + 9 for v. 3 Suppose 2*s - 14 = 3*s + 3*j, -j = 4. Let b be 1/(5/s)*-5. Solve 3*a = -b - 4 for a. -2 Suppose -2 = -x - 0*x. Suppose -p = -3*b - 4*p - 51, 4*p + 8 = -b. Let a = b + 30. Solve -x*j - a = 3*j for j. -2 Suppose -5*j = -2*j - 6*j. Solve -4*y - 5 + 1 = j for y. -1 Suppose 8 = 2*c + 2. Suppose k - 17 = 3*b, 2*k - b - 2 = -c*b. Solve k*q - 5 = -0 for q. 1 Let i(p) be the third derivative of 0 + 5/6*p**4 + 0*p - 2*p**2 + 0*p**3. Let y be i(1). Solve 2*l = 6*l + y for l. -5 Let d(y) = -y**2 + 2*y - 5. Let o(u) = -1. Let f(v) = d(v) - o(v). Let t(i) = -i + 1. Let n(z) = -f(z) - 6*t(z). Let g be n(-5). Solve g = -2*m - 3 for m. -3 Let m(r) = 2*r**3 + 2*r - 2. Let o be m(1). Solve -u = -o*u - 2 for u. -2 Let y be 0/((-1)/1 + 2). Let p(x) = x + 5. Let m be p(y). Solve -m = o - 2*o for o. 5 Suppose -2*p - 3*f = 3, -4*f - 4 = 4*p - 5*p. Solve p = -c - 2*c + 12 for c. 4 Suppose -q - 12 = -3*r, -5*q + q - 4 = -r. Solve -6 - r = -2*a for a. 5 Suppose 4*g - g = 39. Let l = -8 + g. Solve -l*v = -v for v. 0 Let a = -4 - -6. Solve a*w + 3*w = 0 for w. 0 Let b = -5 + 7. Suppose -2*y = -2*m - 36, -b*y = -2*m + 5*m - 36. Solve -y = -5*i - 3 for i. 3 Let k be 0 + ((-6)/3 - 4). Let l(d) = -d**2 - 6*d + 8. Let w be l(k). Solve -7*m + w = -3*m for m. 2 Let y(j) = -j - 4. Let r be y(-6). Suppose 2*t - r = 4*t. Let h be 2 + (t + 2)/1. Solve -h*g - 8 = 4 for g. -4 Let g = -1 - 5. Let z(n) = -n**3 - 5*n**2 + 5*n - 3. Let i be z(g). Suppose -i*b + 2 = -2*b. Solve 3*p + b = 2*p for p. -2 Let q = -7 + 15. Solve 4*n = 2*n + q for n. 4 Suppose 2*c - 2 = -u - 3, -3*c = u + 4. Suppose -3*o + 6*o - 21 = 3*l, l = -3*o + u. Solve -2*f = o*f + 15 for f. -3 Suppose 0*o - 3*o - 18 = -3*f, 5*f + 3*o + 10 = 0. Solve -f = -4*x + 3 for x. 1 Let q(x) = x**3 + 9*x**2 + 8*x - 2. Let b be q(-8). Let k be 1 - -11 - (-2)/b. Let v = -8 + k. Solve -v = z + 1 for z. -4 Let u be (3 - (-1 + 10))*-1 + -1. Suppose -4*s = -4 - 8. Solve u = -s*m + 2*m for m. -5 Let m(i) be the first derivative of i**4/4 - 4*i**3 + 6*i**2 - 3*i - 3. Let a be m(11). Solve 3 - a = -u for u. 5 Let h = 16 - 8. Let l = h - 6. Let s = 0 + l. Solve -5*c = s + 3 for c. -1 Let j = -38 + 43. Solve -j*f - 1 = -4*f for f. -1 Let c be (-7)/(-2)*6/21. Solve 0 = -2*v + 7 + c for v. 4 Suppose -2*q + 5*q + 2*r = 19, 5*r - 10 = 0. Solve 9 + 6 = -q*x for x. -3 Suppose 5*z = 3*q + 3, 0*z - q - 1 = 2*z. Solve 0*b + 2*b = z for b. 0 Suppose 2*o = 7*o. Let m = o - -4. Suppose 0*u - z = -5*u + 100, -m*z = 0. Solve 9*i = 4*i - u for i. -4 Let k(u) = -u**2 - 5*u - 2. Let f be k(-4). Let p be 18/63 + (-2)/7. Solve p = m - f*m + 3 for m. 3 Let i(f) = 2*f**2 - 3*f - 2. Let p be i(-2). Let u = p - 8. Solve 2*k + 2*k = u for k. 1 Let q = 0 - -8. Solve -2*w - 2*w + q = 0 for w. 2 Let v = -2 + -6. Let q be 1 + 3 + v + 8. Solve 4*a - 16 = -q for a. 3 Suppose 0 = 4*v + 5*t + 3, -5*v = -4*t - 26 - 1. Solve -6 + 0 = -v*b for b. 2 Let j be 2/1 - (0 - -2). Solve j = -0*m - m - 5 for m. -5 Let g = 4 - 0. Suppose -27 - 21 = -g*j. Suppose -24 = -15*p + 7*p. Solve -p*b + 0*b = j for b. -4 Let o be ((2/6)/1)/(2/48). Solve -5*l + o = -12 for l. 4 Let c(i) = -i**2 - 10*i - 7. Let t be c(-8). Let k(r) = r**2 - 8*r - 7. Let v be k(t). Suppose p = -2*p - 6, -v*y = -4*p - 20. Solve 0 = -n + y*n for n. 0 Suppose -h + 0*h = -4. Solve -l = -h - 1 for l. 5 Let j be (-14)/(-2) - (7 + -6). Solve t + j = 3*t for t. 3 Suppose 0 = 3*g - 5*x + 9, 2*g - 3*x + 0 = -5. Suppose 0 = -o - 2*o + 3*v + 6, -o + g = 4*v. Solve -5 = -o*r + 3*r for r. -5 Let p be (-1 - (-5 + 3)) + 6. Let x = p - 7. Solve -z - 3*z - 16 = x for z. -4 Let q = -13 + 32. Let t = q + -9. Solve t = -3*k - 2 for k. -4 Suppose -4 = -0*v - 2*v. Let x be 0 + v - 0/1. Suppose -3*i + 0*g + 25 = -x*g, 3*g - 15 = -3*i. Solve 2*u - 1 = -i for u. -3 Let y = -2 + 4. Suppose -y*a + 12 = -4. Solve -2*d - a = -2 for d. -3 Suppose 0*o - 4*o + 12 = 0. Suppose -u + o = -2. Suppose -25 = -u*d, -t = 2*t + 5*d - 25. Solve t = -4*z + 3*z for z. 0 Let d(r) = -r + 5. Let o be d(-7). Suppose 5*m = 3*m + o. Let h = m - 5. Solve -5*q - h = 19 for q. -4 Suppose 2*i + 6*i - 64 = 0. Solve i = -4*r - 4 for r. -3 Let b(j) = -12*j**3 + j**2 + j + 2. Let v be b(-2). Suppose -2*y + 20 = 2*y. Suppose 0 = y*x - v + 25. Solve 0 = 2*r - 5*r - x for r. -5 Let p(t) = 1 - 5*t - 2 + 0 + 21*t. Let w be p(1). Solve -5*b + 0*b = -w for b. 3 Suppose 3*b + i - 2*i = 21, -i + 15 = 3*b. Suppose 0 = 3*j - 6, v + j = 6*v + 222. Let y be ((-3)/b)/(2/v). Solve -4*z = -3 + y for z. -2 Suppose -2 + 5 = -4*n - 3*j, -4 = 4*n + 4*j. Let w be 1 + 1/1 - n. Let m be -1 - (w + -6)*2. Solve m*q - 2*q = 15 for q. 3 Let d = -13 - -13. Solve -j - j - 10 = d for j. -5 Let r(t) = -t**2
{ "pile_set_name": "DM Mathematics" }
9. Let g be o(j). Suppose 0 = -g*b - 51 + 236. What is the tens digit of b? 3 Suppose -3*k - 15 = -3*s, -3*k - 8 + 5 = s. Suppose -s*l = -4*w + 258 + 29, -4*l + 67 = w. What is the tens digit of w? 7 Let p = -36 + 30. What is the hundreds digit of p/4 - 3075/(-30)? 1 Let c(r) = 7*r + 6. Let j be c(5). Suppose 5*b + 3*y + 109 = 0, 0 = -b - 2*b + 2*y - 54. Let u = j + b. What is the units digit of u? 1 Let i = 7 + -10. Suppose 0 = -2*b + 2*d + 6 + 2, 0 = 2*b + 4*d + 10. What is the units digit of 0 + (i - b) + 12? 8 Let h(n) = 2*n**3. Let d = -22 - -25. Let f = d + -1. What is the units digit of h(f)? 6 Let h = 6 - 9. Let q = 1 - h. Suppose 22 = q*r - 22. What is the units digit of r? 1 Let n = 42 - 37. Suppose -3*u + c = -545, 0 = -n*u - 0*u + 2*c + 910. What is the tens digit of u? 8 Suppose -2*r - 3*r - 20 = 0, -4*k + 184 = -2*r. What is the tens digit of k? 4 Suppose -4*f - 5*u + 15 - 120 = 0, -4*f = -4*u + 60. Let g(z) = z**3 + 19*z**2 - 19*z + 30. What is the units digit of g(f)? 0 Let n = -14 - -145. What is the tens digit of n? 3 Let f(b) = -39*b - 10. Let x be f(-5). Let g = -99 + x. What is the tens digit of g? 8 What is the units digit of 882 + (-105)/(-6)*6/21? 7 Let o be -3 - (-1)/(2/38). Let d be (-9)/(-6)*o/(-12). What is the units digit of (10 - (d - -3)) + 0? 9 Let c = 7 - -104. What is the tens digit of c? 1 Suppose -27852 + 9546 = -27*h. What is the units digit of h? 8 Let x(k) = -2*k + 17. Let c = 45 - 59. What is the units digit of x(c)? 5 Suppose 0 = -9*y + 10 + 62. Suppose -y*v = -10*v + 8. What is the units digit of v? 4 Let g be (100/(-12))/(13/234). Let q = 313 + -531. Let l = g - q. What is the tens digit of l? 6 Suppose 3*u - 9*u - 24 = 0. Let b be (-9)/u - (-3)/(-12). Suppose 0 = b*y - 2*h + 2, -2*y + 5*h = 8. What is the units digit of y? 1 Let t = 88 + -15. Suppose q + 16 = 4*z - 9, -4*q - 139 = -3*z. Let g = q + t. What is the units digit of g? 6 Suppose 26*j = -5166 + 40942. What is the units digit of j? 6 Suppose -4812 = 6*o - 30390. What is the thousands digit of o? 4 Let n = 18 - 2. Let b = 49 - n. What is the units digit of b? 3 Let f be 70/(-28)*8/10. Let g be ((-3)/f)/(3/8). Suppose g*j = -6 + 210. What is the units digit of j? 1 Let a = 265 - -420. What is the units digit of a? 5 Let j(k) = k**2 - 21*k + 17. Let z be j(20). What is the units digit of 5 - (z - (4 + -3))? 9 Let o(k) = 1924*k + 91. What is the units digit of o(1)? 5 What is the tens digit of (-5876)/(-10) - (240/50)/(-12)? 8 Let g(i) be the first derivative of -i**4/4 + 16*i**3/3 - 5*i**2 + 15*i + 14. What is the units digit of g(15)? 0 Suppose 4*z + 2*z = 0. Suppose -9 = -p + 1. Let x = p - z. What is the units digit of x? 0 Suppose 13*f = 14322 + 56. Suppose 3*j - f = -230. What is the hundreds digit of j? 2 Let v(d) = -d**2 - 7*d - 10. Let a be v(-3). Let u(s) = 7*s**2 - 5*s + 2. What is the tens digit of u(a)? 2 Let n be 2 - 1 - (-356 + -3 + -3). Suppose -4*j + 7*j = n. What is the tens digit of j? 2 Let h(j) = j**3 + 3*j**2 - 4*j - 5. Let g be h(-3). What is the units digit of (1 - 123)/(g + -9)? 1 Let b = 77 + -75. What is the units digit of (3 - (-3 + 5))/(b/142)? 1 What is the tens digit of ((-2049)/(-6))/((-20)/(-80))? 6 Let l = -9 + 16. Let d(j) = j + 18. What is the tens digit of d(l)? 2 Let z = -18 - 5. Let b = z + 27. What is the units digit of 1/b + 174/8? 2 Let p = 9 + -14. What is the hundreds digit of (20 - -131) + p/((-10)/8)? 1 Suppose -3*v + 8 = 4*x, 4 + 2 = -2*v + 3*x. Suppose 4*j + r - 369 = -v*r, -457 = -5*j + 3*r. What is the tens digit of j? 9 Let h(i) = -i**3 + 7*i**2 - 2*i + 1. Let c = 11 + -6. Suppose l = -3*l - z + 25, 1 = l - c*z. What is the tens digit of h(l)? 2 Suppose -23*l + 3*l = -5000. What is the units digit of l? 0 Let g be 2/5*(634 - -1). Let f = g + -164. What is the units digit of f? 0 Let p be (1 - 0 - -4) + -1. Suppose 4*y = -p*v + 32, -3*y + 6 - 2 = -v. Suppose -5*b = -y*z + 40, -2*z - 4*b + 12 = -0*b. What is the units digit of z? 0 Suppose 3*s + 0*s = -q - 3, 0 = -5*s + q + 3. Suppose c - 2*o = -0*c + 75, s = -3*o - 12. What is the units digit of c? 7 Let i(g) = 2*g**2 - 12*g + 3. Let k be i(8). Suppose -2*u + k = -21. Suppose -m - c = -u, 0 = 4*c + c + 20. What is the units digit of m? 2 Suppose 4*l = -2 - 10. Let s(d) = -67*d - 5. What is the hundreds digit of s(l)? 1 Suppose -s + 19 = j - 3*s, 0 = 3*j - s - 32. Suppose 0*u = -2*u + y + j, 3*u - 2*y = 11. Let k(w) = w**2 - 7*w + 2. What is the units digit of k(u)? 2 Suppose -2*n + 149 = -v, 124*n + 3*v = 127*n - 231. What is the units digit of n? 2 Let h = -126 + 450. What is the hundreds digit of h? 3 Suppose -3*q + 23 + 715 = 0. Suppose 4*r - q - 116 = -2*o, 4*r - 353 = o. What is the tens digit of r? 8 Suppose -5*v - 5*o = -20, -2*v - 5*o + 3 = 1. Let t(h) = 7*h + 10. What is the units digit of t(v)? 2 Let q = 6 + -4. Suppose 5*h + 7 = 2*x - 0*h, -q = -2*h. What is the units digit of -4*(x/8 + -1)? 1 Suppose 0*r - r = -3. Suppose r*p - 15 = -2*p. Suppose -4*m = -p*m - 7. What is the units digit of m? 7 Let v = -22 - -15. Let y(s) = 14*s - 15. Let o be y(v). Let j = -67 - o. What is the units digit of j? 6 Let i be ((-12)/(-21))/((-2)/(-14)). Suppose -i*z + 281 = 49. Let f = z + -26. What is the units digit of f? 2 Let d(t) = -t**3 - 5*t**2 - 2*t + 11. Let s be d(-4). Let p(z) = -2*z - 6. Let b be p(-4). What is the units digit of b + (s + -2)/(-1)? 1 Let w = -61 + 65. Suppose 762 = -4*h + 9*h + w*x, -2*h - 4*x + 300 = 0. What is the tens digit of h? 5 Let y(s) = -s**3 + 8*s**2 + 13*s. Let t be y(9). Let p = t - -7. What is the tens digit of p? 4 What is the tens digit of ((-1324)/(-10))/(7 - (-2363)/(-340))? 4 Let d(g) = 3*g**2 - 10*g + 3. What is the hundreds digit of d(-9)? 3 Suppose -23225 = -9*d + 1264. What is the units digit of d? 1 Suppose -5*h + 3*u = -5, -4*h + 3*u + u = 4. Suppose o - h*m - 225 = -4*o, -4*o = 4*m - 144. Suppose -4*f = -o - 7. What is the units digit of f? 2 What is the tens digit of (22 + -5)/(4/12)? 5 Let t(f) = 180*f + 157. What is the thousands digit of t(5)? 1 Let h = 561 + 251. What is the hundreds digit of h? 8 Suppose -8*p = 9*p - 4199. What is the tens digit of p? 4 Let b be -2*1/(-6) - 322/(-42). Let r(c) = -c**3 + 7*c**2 + 10*c - 5. What is the units digit of r(b)? 1 Let b(x) = 2*x**3 + 10*x**2 + 7*x + 5. Let i be b(-4). Let a(h) = h**3 - 2 + 2*h - 4 - 9*h**2 + 3 + 2. What is the tens digit of a(i)? 1 Let n be 1/2 + 10/4. Let h = 8 - 6. Suppose -2*j - 4*f + 42 = 0, -33 = -n*j + h*f + 14. What is the units digit of j? 7 Suppose -51*w + 9310 = -37*w. What is the units digit of w? 5 What is the units digit of (-19521)/(-15) + (39/15 - 3)? 1 Let n = -543 - -1073. What is the tens digit of n? 3 Suppose -p + 22356 = 35*p. What is the units digit of p? 1 Suppose 0 = -26*w + 2251 + 6641. What is the hundreds digit of w? 3 Let c(u) = 16*u**3 + 10*u**2 - 7*u - 39. What is the tens digit of c(4)? 1 Let a = 825 + -265. What is the tens digit of a? 6 What is the units digit of (-32 - -34)*(3858/3 - 2)? 8 Let f be (0 - 0)/(6 - 4). Suppose f = 3*a - 23 + 14. Suppose -2*u - 17 = -a*u. What is the tens digit of u? 1 Suppose 50*m - 2315 = 45*m. What is the tens digit of m? 6 Let q = 64 - 60. What is the tens digit of 2/q - 1085/(-10)? 0 Let f be ((-3)/(-4) - (-18)/(-24)) + 0. Suppose 0*s + 360 = 2*k + 4*s, k - s - 177 = f. What is the tens digit of k? 7 Let o = 89 + -48. Suppose -4*y = -3*a + 146, -o = -a + 2*y + 9. What is the tens digit of a? 4 Let m = 117 - -4008. What is the tens digit of m? 2 Let s be -4 + (-6 - -5)*34. Let i = s + 87. What is the units digit of i? 9 Let l(o) = -203*o + 197. What is the units digit of l(-9)? 4 Let t = 992 - -161. What is the thousands digit of t? 1 Let p(r) = 3*r**2 + 56*r + 50. Let y(m) = 2*m**2 + 37*m + 33. Let u(n) = -5*p(n) + 8*y(n). Let b be u(-16). What is the units digit of (0 - 77)*(-12)/b? 6 Let x be 2 + (-10)/(-2) + 0. Suppose z - 712 = -x*z. What is the units digit of z? 9 Let s = 37 + 6. Suppose -4*a - s = 369. What is the units digit of 4/(-12) - a/3? 4 Suppose 316787 + 1993 = 55*z. What is the tens digit of z? 9 Let y = -26 + 26. Suppose v - 2*r + 6 = -1, 3*r = y. What is the units digit of 20/v*(-280)/16? 0 Let o = -2600 - -5152. What is the thousands digit of o? 2
{ "pile_set_name": "DM Mathematics" }
541, -8327540, -8327539, -8327538? -8327537 What is the next term in 1154821, 1154832, 1154843, 1154854? 1154865 What is the next term in -19091329, -19091325, -19091321? -19091317 What comes next: -2494109, -2494124, -2494139, -2494154, -2494169, -2494184? -2494199 What is the next term in 120830, 120781, 120732, 120683, 120634, 120585? 120536 What is next in 1849033, 1848994, 1848893, 1848700, 1848385, 1847918, 1847269, 1846408? 1845305 What is the next term in -20917, -83926, -188953, -335992, -525037, -756082, -1029121, -1344148? -1701157 What is next in -185727, -743003, -1671797, -2972109, -4643939, -6687287? -9102153 What comes next: 23304, 45747, 68190? 90633 What is next in -544422, -544423, -544424? -544425 What comes next: 26897, 26848, 26805, 26768? 26737 What is next in 25302, 25412, 25596, 25854, 26186, 26592? 27072 What comes next: -13426, -105105, -353942, -838519, -1637418, -2829221, -4492510, -6705867? -9547874 What comes next: -69312, -138602, -207884, -277176, -346496? -415862 What is the next term in 1002672, 4011003, 9024888, 16044327, 25069320, 36099867, 49135968? 64177623 What comes next: -41926006, -83852011, -125778016? -167704021 What is next in -2476, -9697, -21732, -38581, -60244, -86721, -118012? -154117 What is next in -14701, -27626, -40549, -53470? -66389 What is next in 294, 858, 1422, 1986, 2550, 3114? 3678 What is next in 48947, 48932, 48893, 48818, 48695, 48512? 48257 What is next in -8584, -7797, -6486, -4657, -2316, 531, 3878? 7719 What is the next term in -118368182, -236736363, -355104544, -473472725? -591840906 What is next in 11588588, 23177168, 34765748, 46354328? 57942908 What is the next term in 2624247, 2624245, 2624247, 2624259, 2624287, 2624337? 2624415 What is next in -246, -4730, -13456, -26424? -43634 What is the next term in -216863499, -433727003, -650590521, -867454059, -1084317623? -1301181219 What is the next term in -114020, -227878, -341738, -455600, -569464, -683330, -797198? -911068 What is next in -11144194, -11144161, -11144112, -11144053, -11143990, -11143929, -11143876? -11143837 What is the next term in 29322, 115436, 258950, 459858, 718154, 1033832? 1406886 What is the next term in -11721186, -11721209, -11721232, -11721255, -11721278? -11721301 What comes next: 441143, 882299, 1323453, 1764599, 2205731? 2646843 What is the next term in 524, 436, 350, 308, 352, 524? 866 What is the next term in -16762846, -33525690, -50288534, -67051378? -83814222 What is the next term in -12081, -24384, -36689, -48996, -61305? -73616 What is the next term in -233543, -934114, -2101757, -3736472, -5838259? -8407118 What comes next: -1179, -1386, -1909, -2892, -4479, -6814, -10041, -14304? -19747 What is the next term in 36369, 72987, 109605, 146223, 182841? 219459 What is next in -864, -3317, -7234, -12615, -19460, -27769, -37542? -48779 What comes next: 70448, 71288, 73568, 78008, 85328, 96248, 111488, 131768? 157808 What is the next term in 177915, 355884, 533853, 711822, 889791, 1067760? 1245729 What is next in 2771, 2713, 2645, 2561, 2455, 2321? 2153 What comes next: -479, -1857, -4129, -7295? -11355 What comes next: -883, -1428, -1973, -2518? -3063 What is the next term in 268331, 536659, 804981, 1073297, 1341607? 1609911 What is the next term in 6723489, 6723485, 6723481, 6723477, 6723473? 6723469 What is next in -62581, -62603, -62651, -62737, -62873, -63071, -63343? -63701 What is next in 195, 12, -501, -1344, -2517? -4020 What comes next: -16278, -32432, -48592, -64758? -80930 What comes next: -92, 16, 306, 868, 1792, 3168, 5086, 7636? 10908 What is the next term in 17750, 43643, 69536, 95429? 121322 What is the next term in -97559, -97484, -97411, -97340, -97271, -97204? -97139 What comes next: 161029746, 161029748, 161029760, 161029788, 161029838? 161029916 What comes next: -188170, -376301, -564432, -752563, -940694, -1128825? -1316956 What comes next: -545462, -545447, -545424, -545393? -545354 What is the next term in 44869, 89679, 134433, 179131, 223773, 268359, 312889? 357363 What comes next: -188065, -187806, -187547, -187288, -187029? -186770 What comes next: 116, -98, -792, -2110, -4196, -7194, -11248, -16502? -23100 What comes next: 2590, 10447, 23506, 41761, 65206, 93835? 127642 What comes next: -399414, -399437, -399468, -399501, -399530, -399549, -399552, -399533? -399486 What comes next: 232795, 931178, 2095151, 3724720, 5819891, 8380670, 11407063, 14899076? 18856715 What comes next: -7850532, -15701077, -23551622? -31402167 What is the next term in -24250, -48195, -71838, -95179? -118218 What is next in -356933, -356906, -356859, -356792, -356705, -356598? -356471 What is next in 8546, 17341, 26386, 35681, 45226, 55021, 65066? 75361 What comes next: 11121, 22529, 33813, 44979, 56033, 66981? 77829 What is the next term in 225, 957, 2463, 4977, 8733, 13965, 20907, 29793? 40857 What is the next term in -9731962, -9731954, -9731942, -9731926? -9731906 What is the next term in -29524334, -118097288, -265718878, -472389104, -738107966? -1062875464 What is the next term in -45821, -90493, -135165, -179837? -224509 What is the next term in -4035, -4569, -5105, -5643, -6183, -6725? -7269 What is the next term in -2645885, -5291767, -7937649? -10583531 What is next in -192592, -192583, -192568, -192541, -192496? -192427 What is next in -3142310, -3142371, -3142432, -3142493, -3142554? -3142615 What is the next term in 19063, 152246, 513703, 1217572, 2377991, 4109098? 6525031 What comes next: 54776551, 109553101, 164329651, 219106201? 273882751 What is next in 185194, 185315, 185430, 185539, 185642? 185739 What comes next: 97268, 389079, 875430, 1556321, 2431752, 3501723? 4766234 What comes next: 259, 448, 587, 676, 715, 704, 643? 532 What is next in 58342, 57566, 56790, 56014? 55238 What is the next term in 415607, 831164, 1246721, 1662278, 2077835? 2493392 What is next in -416261, -416257, -416253, -416249, -416245? -416241 What comes next: -13750, -27168, -40586, -54004? -67422 What is next in -4412, -8778, -13130, -17474, -21816, -26162? -30518 What is next in -430, -2643, -6372, -11617? -18378 What is the next term in -12771, -13396, -14021, -14646, -15271? -15896 What comes next: -371012, -370883, -370660, -370337, -369908? -369367 What is the next term in -102650, -102915, -103180, -103445, -103710? -103975 What comes next: 23463, 46951, 70451, 93963, 117487? 141023 What is the next term in -16502792, -16502789, -16502784, -16502777, -16502768, -16502757, -16502744? -16502729 What comes next: -67987, -271916, -611731, -1087378, -1698803, -2445952, -3328771, -4347206? -5501203 What is next in -1329767, -1329743, -1329719, -1329695? -1329671 What comes next: 8766, 20947, 33128? 45309 What is next in 113, 319, 615, 1043, 1645? 2463 What is next in 65, 246, 387, 488, 549, 570? 551 What is next in 34478, 33966, 33468, 32984, 32514, 32058? 31616 What is next in 444349, 444404, 444493, 444616, 444773, 444964, 445189? 445448 What is next in -6865, -55200, -186359, -441742, -862749, -1490780, -2367235? -3533514 What comes next: 169442, 340322, 511202? 682082 What is the next term in -143381298, -143381300, -143381302, -143381304? -143381306 What is next in -617102, -617110, -617138, -617192, -617278, -617402, -617570? -617788 What comes next: -96, -970, -2640, -5106? -8368 What is next in 9395831, 18791664, 28187497, 37583330, 46979163? 56374996 What is the next term in -28147200, -56294398, -84441596, -112588794? -140735992 What is the next term in 4292, 5964, 7634, 9302, 10968, 12632, 14294? 15954 What is the next term in 2534, 6325, 10112, 13895, 17674, 21449, 25220? 28987 What is the next term in 55003, 219944, 494847, 879730, 1374611, 1979508, 2694439, 3519422? 4454475 What comes next: 357, 691, 1023, 1347, 1657? 1947 What is the next term in -1332060, -2664109, -3996144, -5328165? -6660172 What is next in 75643, 302626, 680921, 1210522, 1891423, 2723618, 3707101, 4841866? 6127907 What is next in 104199, 113179, 128145, 149097, 176035, 208959, 247869? 292765 What comes next: 182489, 182476, 182457, 182432, 182401, 182364, 182321? 182272 What is the next term in -3509904, -14039676, -31589296, -56158764, -87748080? -126357244 What is the next term in -33711, -135002, -30378
{ "pile_set_name": "DM Mathematics" }
hich is greater: 0 or -638/461? 0 Is 248613 greater than or equal to 1243064/5? True Is 2154/5111 greater than or equal to -1? True Are 17231 and 172301/10 unequal? True Is -53949 equal to -53954? False Which is bigger: 39 or 6721/171? 6721/171 Which is smaller: -5201/17 or -307? -307 Which is bigger: 1 or -4.2253? 1 Is 5777/37 bigger than 155? True Which is greater: 1/483895 or 0? 1/483895 Are -74014 and -74021 equal? False Is -5962194 less than or equal to -5962193? True Is -1 <= -1120088? False Is -14765 not equal to -14767? True Is 25847 smaller than 25814? False Which is greater: -52.867 or 51? 51 Which is smaller: -1076 or -1075? -1076 Are 523 and 1719 unequal? True Do 22630 and 22618 have the same value? False Is 0.08 bigger than -412455? True Which is bigger: -1/107 or -0.1? -1/107 Which is bigger: -16 or 504? 504 Which is smaller: -6 or -685/97? -685/97 Which is bigger: -424550/11 or 0.3? 0.3 Is -1033177 > -1? False Is -5608 bigger than -5612? True Is 1 < -10/187371? False Which is smaller: 6/767 or -1? -1 Which is smaller: -2029788 or -2029789? -2029789 Is 2/7 < 494254? True Which is smaller: -9345 or 11? -9345 Which is smaller: 23.583 or -1.2? -1.2 Which is smaller: 3/120781 or 0? 0 Is -165 greater than 4451? False Are 247795 and 247794 unequal? True Is 125.6 >= -12/35? True Do -6495 and -6227 have the same value? False Is -4268 at most -4270? False Which is smaller: 2/10349099 or 0? 0 Which is bigger: -107295 or -965642/9? -965642/9 Is -893 bigger than -65265/73? True Is 2355 > 2238? True Which is smaller: -1 or 72/629? -1 Is -4/18909 smaller than 0? True Is 11/6 >= 3/1141? True Is 13645 != 13892? True Which is greater: 12553 or 12554? 12554 Is -513248 smaller than -513250? False Is -2497 < -2496? True Which is smaller: -1 or 1/204111? -1 Is -160898 >= -482696/3? True Is 22/459233 greater than or equal to 1? False Does -13 = -29.93? False Is -120779 less than or equal to -120780? False Does 2 = 106.38? False Is 474917 > 474917? False Which is bigger: -2 or 1004/1135? 1004/1135 Is -1953420 bigger than -1953421? True Are 6170 and 6174 non-equal? True Which is bigger: 3699/28 or 131? 3699/28 Which is smaller: 0.14 or -249? -249 Is -254 greater than or equal to -82? False Is -4 at most 56553? True Is -166 >= -238? True Is 0 bigger than -171/29132? True Is 733 at most 24? False Which is smaller: 10.7 or 2/129? 2/129 Are 13639 and -1/15 equal? False Which is bigger: 3940 or -112? 3940 Which is smaller: -69/37087 or 1? -69/37087 Which is smaller: 22304 or 1/5? 1/5 Is 6724 at most 53793/8? True Is -335/2 < -1243? False Is 1 smaller than -27/176066? False Which is bigger: 210295 or 210285? 210295 Which is greater: -122804/17 or -7225? -122804/17 Which is bigger: 3664 or 3673? 3673 Which is greater: 1 or -6854? 1 Is 92364 less than or equal to 4? False Which is greater: -467 or -438? -438 Is 8324 >= 121? True Is 567539 >= 567538? True Which is smaller: -18 or -11/14? -18 Are 69 and 8 equal? False Is -1438 > -1433? False Is -1 at most 3/1191586? True Which is smaller: -1/860092 or 0? -1/860092 Which is smaller: 0 or 16/284173? 0 Is 56.416 greater than or equal to -2.1? True Is 16140 less than 16139? False Is -126/619 at most 1? True Is 1411/14 less than or equal to 2? False Is 67772 at least 67772? True Which is greater: -12730 or -12728? -12728 Which is smaller: 26993 or 26947? 26947 Which is smaller: 2/5 or -95469? -95469 Which is smaller: -3/34438 or 0? -3/34438 Which is smaller: 212 or 3829/18? 212 Is 1/25891 bigger than -2? True Which is smaller: 1 or -151/566? -151/566 Is 155 at most -48/565? False Which is greater: -1075045 or -1075046? -1075045 Are 23875 and 23876 nonequal? True Is 5368266 less than 5368266? False Which is smaller: 7784 or 7776? 7776 Are -79318 and 3 non-equal? True Which is bigger: -160057 or -160028? -160028 Which is smaller: 754/2245 or 0? 0 Which is smaller: 72928 or 72931? 72928 Which is bigger: -380/12603 or 0? 0 Which is bigger: 1 or -1096/4909? 1 Is 0.2 > -104066? True Which is smaller: 2319 or 53320/23? 53320/23 Which is smaller: 0 or -66/41869? -66/41869 Which is greater: 56219/4 or 14054? 56219/4 Which is greater: 1/8 or -305.2? 1/8 Which is greater: 1151 or 1155? 1155 Are -1 and 2950/13251 unequal? True Which is smaller: 9430 or 292304/31? 292304/31 Is -1 at most as big as 36/209225? True Do 0 and -458/669 have the same value? False Which is smaller: 1 or -2/156365? -2/156365 Is -924 less than -1248? False Which is bigger: 59 or -241.6? 59 Is 276 smaller than 23/7? False Is -108020 greater than -46? False Which is bigger: 1640344/3 or 546780? 1640344/3 Is -1 >= -1/4615? False Which is smaller: -560128/3 or -186709? -560128/3 Which is bigger: 818 or 7366/9? 7366/9 Is 8176 > 31? True Is 0 at least 72/3023? False Which is greater: -0.008 or 113? 113 Is 2.2 greater than -14181.4? True Which is smaller: 37 or -304? -304 Which is greater: 241/3437 or 1? 1 Is 9/7684 < -1? False Which is smaller: 1 or 131/5434? 131/5434 Which is bigger: 18/445475 or 1? 1 Which is greater: 1/59615 or 1? 1 Which is smaller: -2179206 or -2179207? -2179207 Is -1 greater than or equal to -5/3291421? False Is 878 less than or equal to 913? True Which is greater: 6/19 or 0.04302? 6/19 Which is greater: -15 or 754? 754 Which is smaller: 0 or -62/1617? -62/1617 Which is smaller: -57425 or 6? -57425 Which is greater: -2/239033 or 0? 0 Is -3421316 >= -3421316? True Which is bigger: 2/169915 or 0? 2/169915 Which is bigger: -22420/51 or -441? -22420/51 Is 1 bigger than -2/2487161? True Is 4 <= -691335? False Which is smaller: -76 or -371? -371 Which is bigger: 3946 or 55233/14? 3946 Are 43727 and 43728 unequal? True Which is greater: -88 or -5685/64? -88 Which is bigger: 26682 or 53365/2? 53365/2 Which is bigger: -346107/13 or -26624? -346107/13 Is 127595 < 127595? False Which is bigger: 1 or -70/1579? 1 Which is smaller: 1994 or 57860/29? 1994 Is 1336 at least as big as 861? True Which is greater: -1 or -4/33257? -4/33257 Is -26670 smaller than -26661? True Which is bigger: 3 or 905/579? 3 Does -37/57439 = 1? False Which is greater: 1 or 8/8601? 1 Is 123792 greater than 123789? True Are -2/5 and -10044/239 nonequal? True Which is smaller: 1/369500 or -1? -1 Which is greater: -1 or 381/13868? 381/13868 Which is smaller: 13426 or 1.5? 1.5 Which is smaller: 1 or -9/36863? -9/36863 Is -25226 > -25229? True Is -2/9 smaller than -24383? False Which is greater: 93941 or 93942? 93942 Which is greater: -1/6 or -3/28621? -3/28621 Are -91890 and -91894 nonequal? True Does 3094.034 = -1? False Which is smaller: 26636 or 133179/5? 133179/5 Are -827853 and -827853 equal? True Is 0 greater than or equal to -9/17626? True Which is bigger: -9736.6 or -2/7? -2/7 Which is smaller: -1 or 9843200? -1 Is 8010/13 less than 1.4? False Which is smaller: -1.6 or -13044? -13044 Are -5177 and -5177 equal? True Is 2.1014 bigger than -2/19? True Which is smaller: -668 or 19? -668 Are 28193 and 28197 equal? False Which is bigger: -13171/10 or -1318? -13171/10 Is -59/532 at most as big as 0? True Which is bigger: -187733 or -187731? -187731 Is -52569 at most as big as -52570? False Which is bigger: 12614 or 214442/17? 214442/17 Which is greater: 2/9 or -1660.54? 2/9 Which is smaller: -4437 or -1/5? -4437 Which is smaller: 676/1013 or 0? 0 Is -218616 greater than -218615? False Is -2 != -603/559? True Is -631 less than -45? True Which is smaller: 1620/1249 or 1? 1 Is -135364 > -135381? True Do 2539 and -6/29 have the same value? False Is -1/4 >= 391156? False Is -79/62155 greater than 0? False Which is greater: 5107 or 43? 5107 Which is bigger: 1.3 or 490/11? 490/11 Is -2/249 less than or equal to -5.4? False Which is bigger: 854/345 or 1? 854/345 Which is smaller: 64468 or 10? 10 Which is greater: 2/11 or 0.1? 2/11 Is -63910 less than -63911? False Which is smaller: 291 or 3877? 291 Are 48399/4 and 12099 unequal? True Is -4405 less than or equal to -4389? True Do 14762 and 73812/5 have different values? True Which is smaller: -0.3 or 0.036482? -0.3 Which is greater: -1/9115 or 1? 1 Is 509/177 greater than or equal to 2? True Which is smaller: 1 or 57/1519? 57/1519 Which is smaller: -1/2 or 10277780? -1/2 Is -2/33 smaller than 6499? True Is -298105/11 <= -27101? False W
{ "pile_set_name": "DM Mathematics" }
0.3 b Let q be (-284)/(-120) + 0 + 14/105. What is the second biggest value in -0.37, q, 3? q Let q = 0 - -0.03. Let r = -82.33 - -82. Let u = r + q. What is the third biggest value in u, -3, 0.5? -3 Let v = 231/5 - 46. Let w(d) = d**2 - 1. Let n be w(1). Let o = n + -4. What is the biggest value in o, 3/2, v? 3/2 Let u be 1/((9/2)/(-3)). Let m = 8 - 8. What is the second biggest value in 2/7, m, u? m Let f = -24/71 - -73321/355. Let p = f - 207. Which is the third biggest value? (a) 3 (b) p (c) -0.3 b Let j = 0.1 + 0.2. Let u = 0 - 0.4. Let p = -3.07 + 0.07. What is the third smallest value in j, p, u? j Let x be (-4)/18 + 70/(-63). Which is the third smallest value? (a) 0.9 (b) 4 (c) x b Let k = 7 + -6.8. Let y = -2.04 + 0.04. Which is the second biggest value? (a) y (b) k (c) 0.5 b Suppose -16 = -2*f - 0*f. Suppose 0*p - p - 3*m = f, 0 = -5*p - m - 12. Which is the smallest value? (a) 2 (b) 2/5 (c) p c Let y = -0.04 + 0.74. Let j = 0.8 - y. What is the third smallest value in j, 3, 2? 3 Let m = -6 + 9. Let j(n) = -4*n. Let s be j(6). Let k be (6/4)/(s/(-80)). Which is the biggest value? (a) m (b) k (c) 0 b Let m = 0.1 + -2.1. Which is the third biggest value? (a) -0.5 (b) 0.07 (c) m c Let k = 7.2 - 7. Let n = -5.2 + k. Which is the biggest value? (a) 2 (b) 4 (c) n b Let w = -0.43 - -0.03. Let g = -211/6 + 35. Which is the second biggest value? (a) 2/11 (b) g (c) w b Let q = 0.08 + -0.58. What is the biggest value in -3, q, -2/5? -2/5 Let b(a) = -15*a**2 - a - 1. Let h be b(2). Let w be (-6)/h*(-3)/(-2). What is the biggest value in w, -2/5, -4? w Let t be (-22)/72*(-176)/(-248). Let i = t + -1/186. Let s be (-1 + 1 - 4) + 1. What is the third biggest value in i, s, -5? -5 Let t = 0.04 - -0.06. Let v = 7.3 + -0.3. Let i = v - 6.6. Which is the third biggest value? (a) 3 (b) i (c) t c Let g = -5.2 - -8.2. Which is the fourth biggest value? (a) -1 (b) -1/3 (c) g (d) -3/4 a Let j = 2/77 + 73/154. Which is the second smallest value? (a) 2/3 (b) 2 (c) j (d) 0 c Let k = -206/45 - -24/5. Let w be 0 + (-10)/((-8)/4). Which is the second biggest value? (a) 3/5 (b) k (c) w a Let c = 86 + -91. Let d = 0.1 + 0.9. What is the third biggest value in c, -0.1, d? c Let o = 0.7 + -0.8. Let m = 224/327 + -2/109. What is the third biggest value in 4/5, o, m? o Let q = 0.01 + -0.41. Let i be 1426/(-22) - (-6)/(-33). Let k = i - -324/5. Which is the second biggest value? (a) 1 (b) k (c) q b Let k = 0.1 + 1.9. What is the third biggest value in k, -4, 8? -4 Let x = -0.1 - 0.1. Let v = -2 - 0. Let s = v + 4. Which is the third biggest value? (a) x (b) s (c) -1/11 a Let y = -7 - -7. What is the second biggest value in y, -0.2, -2/5? -0.2 Let x(y) = y - 3. Let i be x(3). Let f be -1*((i - 1) + 1). Suppose -q - q = f. Which is the third biggest value? (a) -1 (b) q (c) -4 c Suppose -54 = -3*q - 0. Let h = q - 13. Let s = 1/12 - -1/4. Which is the third smallest value? (a) s (b) -2 (c) h c Let k = -7 - -7.3. Suppose 67*j - 62*j = 35. What is the smallest value in 0.1, j, k? 0.1 Let n = 228.7 + -229. Let f(j) = -j**3 + 4*j**2 - 2*j - 1. Let u be f(2). Let z(x) = x + 11. Let d be z(-7). What is the second smallest value in u, d, n? u Let p be (-1671)/(-2835) + (-9)/15. Let n = -250/189 + p. Let j = 1 - 1. Which is the smallest value? (a) n (b) j (c) -4 c Let k be ((-2)/(-54))/(145/(-30)). Let c = 245/2088 - k. What is the third smallest value in c, 1/4, -5/3? 1/4 Let p = -0.3 - -0.2. Let x = p + 0.1. Let s = -379 - -1517/4. Which is the second smallest value? (a) s (b) 0.3 (c) x a Suppose 0*z + 9 = -3*z. What is the fourth biggest value in z, 0.5, 0.4, -7? -7 Let g be ((-2)/42)/(10/(-20)). Let j = 437/572 - 2/143. Which is the third biggest value? (a) g (b) j (c) 3 a Let k = -1.4 + 1. Suppose 0 = g - 6*g + 20. Suppose 8 = 4*d - 0*j - g*j, -4*d = 5*j + 1. Which is the third smallest value? (a) -1/4 (b) d (c) k b Let w = -159/7 - -23. Let k be (-117)/(-630) + 2/(-7). Which is the second smallest value? (a) k (b) w (c) -2 a Let z = 0.14 - 0.64. Let t = 5 + -5.4. Which is the second biggest value? (a) t (b) z (c) 2 a Let d = 0.21 - 0.3. Let h = d - 0.91. Which is the smallest value? (a) h (b) -0.4 (c) -4 c Let h = 9.6 - 9.3. Let d = -0.6 + 0.3. What is the biggest value in h, 1, d? 1 Let f = 4 - 6. Let a = 2/257 - 273/2056. Let x = 1/8 - a. What is the third smallest value in -0.4, f, x? x Let k = -45/2 + 24. Which is the third smallest value? (a) -2/17 (b) k (c) 0.3 b Let z = -3 - 1. Let x = -5 - -5. Suppose 5*m - 25 = -5*y - x*m, 16 = 4*m. Which is the biggest value? (a) z (b) y (c) 3 c Let i = 103 + -719/7. Let s = 48/119 - i. What is the third biggest value in 3, 2, s? s Let g = -3.94 + 4. Let j = -0.06 - -0.3. Let b = g + j. What is the third biggest value in 0, b, 3/4? 0 Let t be (-6)/4*(-14)/(-63) + 1. Suppose -3*m - 2*y = -18 + 1, -30 = -5*m - 5*y. Which is the third biggest value? (a) m (b) t (c) -0.5 c Suppose -r - 3*p + 4 = 0, 0*r - 3*r + 2*p + 1 = 0. Let z = -0.4 + 0.6. Let h = -51 + 46. What is the smallest value in r, h, z? h Let m = -32 + 32.1. What is the smallest value in m, -0.5, -1? -1 Let n = -191/3 - -63. Which is the smallest value? (a) 0.7 (b) n (c) -4 c Let u = 2.93 + 0.07. Let h = -0.1 - -0.3. Let r(p) = -p**2 - 21*p + 231. Let x be r(-29). Which is the second smallest value? (a) x (b) u (c) h c Suppose 6*k = 3*k - 12. Which is the smallest value? (a) k (b) -0.1 (c) 4 a Let z be (-18)/(-99) - (-97)/11. Let u be (-20)/(-6) + (-3)/z. Let v = 4 - 8. Which is the second smallest value? (a) u (b) v (c) 2/7 c Let p(v) = v**3 + 4*v**2 + 5. Let s be p(-4). Suppose 4*o - 1 = s*o. What is the second biggest value in o, -3/7, 0? -3/7 Let t = 4.42 + 0.08. Let s = 4 - t. What is the second biggest value in 4, s, 1? 1 Let z = -21.4 - -21. Which is the third smallest value? (a) 3/5 (b) 1/6 (c) z a Let w = -0.1 + -0.3. Let v = 308 + -307.5. Which is the second biggest value? (a) -2 (b) v (c) w c Let k = -0.2 - -0.4. Let t = -10 - -10.4. Let s = -7.5 + 8. Which is the third smallest value? (a) t (b) k (c) s c Let h = -2.2 + 4.3. Which is the third biggest value? (a) 5 (b) 2/13 (c) h b Let k = 2 - 3. Let d = -300/7 + 43. Which is the second biggest value? (a) k (b) -6 (c) d a Let k be (12/88)/((-168)/(-356)). Let t be ((-1)/12)/(7/(-9)). Let m = k - t. What is the third biggest value in -0.2, 3, m? -0.2 Let u = 0.03 - -0.37. Let q = 5.4 - 4.16. Let y = 0.24 - q. Which is the third smallest value? (a) u (b) 3/2 (c) y b Let o(y) = y**2 - 6*y - 6. Let w be o(7). Let q be 5 + -2 + (0 - w). What is the second biggest value in q, 2/7, -2? 2/7 Suppose x - 3*t = 3 + 2, 3*t = -3. Suppose -4*p - 6 = x. Let g = 9 + -9.2. Which is the third biggest value? (a) -1/8 (b) g (c) p c Suppose 3*o = -4*z - 33, -39 = 2*o + 4*z - 13. Which is the third smallest value? (a) -1 (b) 2 (c) o b Let j = 0.205 - 0.005. Let n = 4 + -8. Which is the second smallest value? (a) -2/9 (b) n (c) j a Let r = -27 - -25.7. Let p = r + 1.2. Which is the smallest value? (a) -2 (b) -0.06 (c) p a Let z = 9 - 13. Let t be (-2 + z + 4)/9. Let b = -0.2 + 0.4. What is the third smallest value in b, 3, t? 3 Let k = -0.01 + -10.99. Let w = k - -7. Which is the third biggest value? (a) w (b) 0.3 (c) 5 a Let w(x) = x**3 + 6*x**2 - 8*x - 8. Let f be w(-7). Let i = 8 - 4. Let u = i + -3.5. Which is the smallest value? (a) 0.2 (b) u (c) f c Let p = -0.2 + 0.08. Let z = -5.12 - p. What is the smallest value in -2, 1, z? z Let j = 13.04 - 13. Suppose 4*h + 7 = -5. What is the smallest value in j, -0.1, h? h Let y(j) = j**3 + 3*j**2 - 2. Let s be y(-2). Suppose 0 = -2*p - s*p - 20. Which is the smallest value? (a) 2/7 (b) p (c) -2/3 b Suppose p - w - 3 = 3*p, 5*p = w - 4. Which is the smallest value? (a) -0.7 (b) p (c) -3/2 c Let h = -0.39 - -1.79. Suppose 0 = -2*q - 11 + 3. Which is the third biggest value? (a) -1/5 (b) h (c) q c Suppose 8*r - 3*r = -280. Let g be 2*6/r*-2. Which is the smallest value? (a) 0 (b) 5 (c) g a Let n = -15 - -33/2. Let p = 725963/12 + -60543. Let l = -46 - p. Which is the third smallest value? (a) n (b) l (c) -3 a Let p(n) = 0*n**2 - 2*n**2 + n - 4*n*
{ "pile_set_name": "DM Mathematics" }
49101, -449115, -449131, -449149? -f**2 - 5*f - 449065 What is the r'th term of -88, -337, -772, -1405, -2248, -3313, -4612? -2*r**3 - 81*r**2 + 8*r - 13 What is the m'th term of -36320666, -36320673, -36320684, -36320699, -36320718, -36320741? -2*m**2 - m - 36320663 What is the v'th term of 2008349, 2008374, 2008423, 2008496? 12*v**2 - 11*v + 2008348 What is the p'th term of 2699, 2180, 1593, 944, 239? p**3 - 40*p**2 - 406*p + 3144 What is the k'th term of -1796, -3089, -4416, -5795, -7244, -8781? -3*k**3 + k**2 - 1275*k - 519 What is the d'th term of 2234, 2481, 2728, 2975, 3222, 3469? 247*d + 1987 What is the y'th term of 3676319, 14705497, 33087461, 58822211, 91909747? 3676393*y**2 - y - 73 What is the r'th term of -1962, -7408, -16506, -29256, -45658? -1826*r**2 + 32*r - 168 What is the n'th term of 66620, 133284, 199948, 266612, 333276? 66664*n - 44 What is the x'th term of 9883, 18979, 27965, 36787, 45391, 53723, 61729? -9*x**3 - x**2 + 9162*x + 731 What is the s'th term of -3506, -3251, -3012, -2795, -2606? -s**3 - 2*s**2 + 268*s - 3771 What is the v'th term of 2908993, 2908996, 2908999, 2909002? 3*v + 2908990 What is the q'th term of -1544, -9801, -31500, -73361, -142104, -244449, -387116? -1120*q**3 - q**2 - 414*q - 9 What is the s'th term of 2061030, 2061042, 2061054, 2061066? 12*s + 2061018 What is the l'th term of 1021, 12137, 42339, 101179, 198209, 342981, 545047, 813959? 1592*l**3 - 9*l**2 - l - 561 What is the j'th term of 963, 1421, 2183, 3249, 4619, 6293, 8271? 152*j**2 + 2*j + 809 What is the b'th term of 531097, 531195, 531305, 531433, 531585, 531767, 531985? b**3 + 91*b + 531005 What is the a'th term of -45559098, -45559099, -45559100, -45559101, -45559102, -45559103? -a - 45559097 What is the z'th term of -66114664, -66114661, -66114658, -66114655, -66114652? 3*z - 66114667 What is the m'th term of -17033, -34944, -52855, -70766, -88677, -106588? -17911*m + 878 What is the i'th term of 146599, 293159, 439677, 586147, 732563, 878919, 1025209? -i**3 - 15*i**2 + 146612*i + 3 What is the s'th term of 549, 2625, 6087, 10941, 17193, 24849, 33915? s**3 + 687*s**2 + 8*s - 147 What is the i'th term of -12295, -24607, -36933, -49279, -61651, -74055, -86497? -i**3 - i**2 - 12302*i + 9 What is the p'th term of -82, 3081, 8366, 15779, 25326, 37013? p**3 + 1055*p**2 - 9*p - 1129 What is the c'th term of -8472823, -8472821, -8472819, -8472817? 2*c - 8472825 What is the i'th term of 13702, 18890, 32970, 60388, 105590, 173022? 741*i**3 + i + 12960 What is the x'th term of 381244, 762452, 1143660, 1524868, 1906076, 2287284? 381208*x + 36 What is the q'th term of 16598, 4849, -14732, -42145? -3916*q**2 - q + 20515 What is the d'th term of -811, -3019, -6687, -11815, -18403, -26451, -35959? -730*d**2 - 18*d - 63 What is the h'th term of -1155407, -4621598, -10398583, -18486362, -28884935? -1155397*h**2 - 10 What is the p'th term of -4744588, -4744610, -4744630, -4744648, -4744664, -4744678? p**2 - 25*p - 4744564 What is the m'th term of 876165, 3504638, 7885427, 14018532, 21903953, 31541690? 876158*m**2 - m + 8 What is the n'th term of -3686, -2254, 132, 3472, 7766? 477*n**2 + n - 4164 What is the q'th term of -504769, -504924, -505077, -505228? q**2 - 158*q - 504612 What is the h'th term of -7472, -29956, -67432, -119900, -187360, -269812, -367256? -7496*h**2 + 4*h + 20 What is the g'th term of 104868749, 104868767, 104868785, 104868803? 18*g + 104868731 What is the i'th term of 10904897, 21809794, 32714691, 43619588? 10904897*i What is the c'th term of 2969, 3246, 3523, 3800, 4077? 277*c + 2692 What is the v'th term of 3263, 6468, 9713, 12998? 20*v**2 + 3145*v + 98 What is the n'th term of -3510999, -3510996, -3510993, -3510990, -3510987? 3*n - 3511002 What is the g'th term of -394538, -787156, -1179774, -1572392, -1965010? -392618*g - 1920 What is the k'th term of 716370374, 716370373, 716370372? -k + 716370375 What is the v'th term of -6923, -20256, -40019, -66212, -98835, -137888, -183371? -3215*v**2 - 3688*v - 20 What is the j'th term of 347101, 345439, 343777, 342115, 340453, 338791? -1662*j + 348763 What is the o'th term of 4685, 9626, 14563, 19496? -2*o**2 + 4947*o - 260 What is the p'th term of -16777, -67318, -151555, -269482, -421093, -606382, -825343? p**3 - 16854*p**2 + 14*p + 62 What is the t'th term of 7711, 30597, 68745, 122161, 190851, 274821, 374077? t**3 + 7625*t**2 + 4*t + 81 What is the x'th term of -51908, -207587, -467054, -830309, -1297352, -1868183? -51894*x**2 + 3*x - 17 What is the h'th term of 149041, 149037, 149041, 149059, 149097, 149161, 149257? h**3 - 2*h**2 - 5*h + 149047 What is the y'th term of 46145, 92200, 138255, 184310? 46055*y + 90 What is the f'th term of 20362, 20719, 21076? 357*f + 20005 What is the z'th term of 163, 405, 761, 1225, 1791? -z**3 + 63*z**2 + 60*z + 41 What is the d'th term of 368537, 737052, 1105569, 1474088, 1842609, 2211132? d**2 + 368512*d + 24 What is the m'th term of -260715, -521437, -782165, -1042899, -1303639? -3*m**2 - 260713*m + 1 What is the y'th term of -42652276, -85304552, -127956828? -42652276*y What is the n'th term of 195209, 1561299, 5269141, 12489611, 24393585, 42151939, 66935549? 195146*n**3 + 68*n - 5 What is the j'th term of 33, 1020, 3839, 9366, 18477, 32048, 50955? 146*j**3 + 40*j**2 - 155*j + 2 What is the k'th term of 9467, 19146, 29007, 39050, 49275? 91*k**2 + 9406*k - 30 What is the r'th term of -1093, -2013, -2625, -2773, -2301, -1053, 1127, 4395? 26*r**3 - 2*r**2 - 1096*r - 21 What is the j'th term of -38255914, -76511826, -114767734, -153023638, -191279538, -229535434? 2*j**2 - 38255918*j + 2 What is the u'th term of 10306, 41213, 92724, 164839, 257558? 10302*u**2 + u + 3 What is the c'th term of -4057, -7813, -11567, -15319? c**2 - 3759*c - 299 What is the m'th term of -18508, -74041, -166592, -296161, -462748, -666353, -906976? -18509*m**2 - 6*m + 7 What is the r'th term of 10930, 87188, 294172, 697246, 1361774, 2353120, 3736648, 5577722? 10894*r**3 - r**2 + 3*r + 34 What is the n'th term of -315610, -630981, -946352? -315371*n - 239 What is the z'th term of -51002, -75794, -100584, -125372? z**2 - 24795*z - 26208 What is the v'th term of 2335017, 4670050, 7005093, 9340152, 11675233? v**3 - v**2 + 2335029*v - 12 What is the n'th term of 679, -3747, -13281, -27923, -47673? -2554*n**2 + 3236*n - 3 What is the a'th term of -425, -1082, -1969, -3086, -4433? -115*a**2 - 312*a + 2 What is the j'th term of -4198837, -4198833, -4198829? 4*j - 4198841 What is the f'th term of -1083738, -1083745, -1083768, -1083813, -1083886, -1083993, -1084140? -f**3 - 2*f**2 + 6*f - 1083741 What is the f'th term of -1103431, -1103195, -1102801, -1102249? 79*f**2 - f - 1103509 What is the n'th term of 21946876, 43893763, 65840650, 87787537, 109734424? 21946887*n - 11 What is the d'th term of -72618, -72603, -72580, -72549, -72510, -72463, -72408? 4*d**2 + 3*d - 72625 What is the z'th term of 116735, 233313, 349899, 466493? 4*z**2 + 116566*z + 165 What is the j'th term of 28398, 56603, 84808, 113013, 141218, 169423? 28205*j + 193 What is the h'th term of 65583, 262304, 590169, 1049178, 1639331? 65572*h**2 + 5*h + 6 What is the v'th term of -120048, -120131, -120360, -120807, -121544, -122643, -124176? -12*v**3 - v**2 + 4*v - 120039 What is the k'th term of 859, 2058, 3675, 5920, 9003, 13134, 18523? 35*k**3 - k**2 + 957*k - 132 What is the h'th term of 3881, 14534, 32253, 57032, 88865, 127746, 173669, 226628? -h**3 + 3539*h**2 + 43*h + 300 What is the x'th term of 5806, 45869, 154616, 366391, 715538? 5724*x**3 - 2*x**2 + x + 83 What is the j'th term of -242087, -241787, -241487, -241187? 300*j - 242387 What is the y'th term of -89236, -356968, -803200, -1427932, -2231164, -3212896? -89250*y**2 + 18*y - 4 What is the g'th term of 11321, 11322, 11337, 11378, 11457, 11586, 11777, 12042? 2*g**3 - 5*g**2 + 2*g + 11322 What is the p'th term of -636, -1650, -3330, -5676, -8688? -333*p**2 - 15*p - 288 What is the x'th term of -404682, -807913, -1211144, -1614375? -403231*x - 1451 What is the k'th term of 6890, 9563, 12234, 14903? -k**2 + 2676*k + 4215 What is the h'th term of -49231090, -49231089, -49231088, -49231087, -49231086, -49231085? h - 49231091 What is the r'th term of 340
{ "pile_set_name": "DM Mathematics" }
n*w + a and give t. -8408 Rearrange (2*r + 0*r + r)*((-1 - 3 + 3)*(4 - 3 - 3) + (0 + 1 - 7)*(-23 + 73 - 20)) to d + z*r and give z. -534 Rearrange (-6*z - 47*z + 7*z)*(-1 + 2 + 0) + 0 + 3*z + 0 + (4*z - 5*z + 3*z)*(2 - 2 + 1) + 4*z + 0*z - 2*z to i + b*z and give b. -39 Rearrange (-256 + 626 - 275)*(-p + p - 8*p)*(-2*p - 2*p + p)*(-4 + 4 + 4*p) to the form m*p**2 + z + q*p**3 + k*p and give q. 9120 Express 36850*a - 6308 + 12674 - 6366 in the form u*a + f and give u. 36850 Express 30234 - 36*r**3 - 15115 - 15118 - 4*r**3 + 15*r**2 - 2*r as v + k*r**2 + c*r + s*r**3 and give s. -40 Rearrange (0 + 1 - 2)*(-3*k + 8*k - 3*k)*(-39*k - 22*k + 10*k) + (8*k + 5*k - 3*k)*(-1 + 1 - 3)*(-3*k + 2*k + 4*k) to the form v*k**2 + d*k + g and give v. 12 Rearrange 5333*n - 241 + 733 - 244 - 248 to the form p*n + s and give p. 5333 Express (3 - 2 - 2)*(3*i - 3 + 3) - 12*i - 7*i + 3*i + (15 + 15 - 10)*(4*i - i + i) in the form f + s*i and give s. 61 Rearrange (22*s**2 - 33*s**2 - 25*s**2)*(7 + 64*s - 68*s - 3) to w + k*s**3 + d*s**2 + o*s and give d. -144 Express -29*m**4 + 469*m - 964*m + 8*m**4 + 477*m + 2*m**2 as j*m + p + t*m**3 + g*m**2 + f*m**4 and give f. -21 Express -1432*i**4 + 39*i**3 + 1 - 2 + 1434*i**4 in the form x*i**4 + s*i**3 + n*i + d*i**2 + r and give s. 39 Express 147*w**2 + 201*w + 1 - 69*w**2 + 7*w + 43*w - 73*w**2 as j + o*w + z*w**2 and give o. 251 Express 348*v**3 - v + 7*v**2 + 19 - 7*v**2 + 12 - 33 as s*v**2 + z*v**3 + c*v + i and give c. -1 Rearrange -85*q + 158*q**3 + 954*q**4 - 952*q**4 - 168*q**3 + 2*q**2 to the form g*q**2 + z + c*q**3 + x*q**4 + t*q and give x. 2 Express -14 + 13 - 957*x**3 + 28*x + 1261*x**3 - 30*x in the form m*x**2 + d*x + h + p*x**3 and give h. -1 Rearrange 634 + 1184 - b**2 + 820 - 367 + 2*b**2 to the form q + c*b + y*b**2 and give q. 2271 Express -16*t - t**3 - 49 + 20*t**4 - 25*t**4 + 25 + 24 + 8*t**2 in the form z*t + k*t**4 + p + i*t**2 + o*t**3 and give i. 8 Express 18*u + 8*u**2 - 6*u**2 - 2 - 11*u - 2*u**3 - 62*u**4 - 6*u in the form o*u**4 + r*u**3 + p*u**2 + c + v*u and give p. 2 Rearrange 2 + 497*l - 70*l + 704*l to c*l + z and give z. 2 Rearrange (0*s + 0*s - s + (6 - 6 + 4*s)*(0 + 1 - 3) + 4*s + 0*s + 2*s)*(-16*s + 15*s - 11*s) to the form q + y*s**2 + i*s and give y. 36 Rearrange -1004*v - 74483 + 74483 to the form r + u*v and give u. -1004 Rearrange (-5 + 1 - 4364*d - 3693*d + 4)*(d**3 + 4*d**3 - 4*d**3) to x*d + u*d**2 + b + o*d**3 + i*d**4 and give i. -8057 Rearrange 170*j - 1428*j**2 + 666*j + 1427*j**2 to the form v*j + n*j**2 + p and give v. 836 Express -6*i**3 - 45*i + 4*i**3 + 14*i**3 - 11*i**3 + 146*i in the form q + v*i**3 + h*i**2 + m*i and give v. 1 Express (1 + 0 - 3)*(37 - 8 + 55 + 40)*(-350 + 28*t + 350) as b + j*t and give j. -6944 Express -13*q**3 + 7*q**2 + 6*q**3 + 3 + 7*q - 8*q**2 - 3*q in the form z*q**2 + v*q**3 + f + p*q and give p. 4 Express 407 + 16 - 5*h**2 + 3*h**2 - 231 as o*h + b + y*h**2 and give b. 192 Rearrange (-70 + 37 + 36)*(2*x - 8*x - x)*(0 - 9 + 4) to the form f*x + p and give p. 0 Express -11 - 8*k**2 + 11 + ((2*k - 4*k + k)*(2*k + 2*k - 3*k) + 60*k**2 - 36 + 36)*(-2 + 5 - 1) as g*k + r + a*k**2 and give a. 110 Rearrange -4*r**2 - 223 + 186 + r + 3*r**2 + 0*r to g + v*r + c*r**2 and give v. 1 Rearrange (4*c + 0*c - 3*c)*(c + 2*c - 4*c) + c + 2*c**2 - c + 12*c**2 + 90*c**2 - 5*c**2 to the form x*c + j*c**2 + u and give j. 98 Rearrange (8793 - 8793 + 3348*s)*(-2 + s - 4*s + 10*s) to q*s + l*s**2 + z and give l. 23436 Express (38 - 19 + 16)*(-59 + 344 + 103)*(-2*c + 2*c + 2*c) in the form s + j*c and give s. 0 Express (10*v**2 - 1 - 2*v**2 - 4*v - 3*v**2)*(3*v + 0*v + 0*v + (3*v - 2*v + 3*v)*(-4 + 1 + 0)) in the form c*v**3 + u*v**2 + p + o*v and give u. 36 Rearrange -5104775*v**2 - 52*v + 5104775*v**2 - 4 + 0 - 2*v**3 to the form k*v + h*v**2 + n*v**3 + t and give k. -52 Express -41 + 2580*g + 16 + 9 + 16 as s + v*g and give v. 2580 Express 0*d**2 + 7720451*d + 0*d**2 + d**2 - 7720450*d + 880*d**3 in the form s + k*d + u*d**3 + w*d**2 and give k. 1 Express (523*q + 672*q - 1059*q)*(1 + 0 + 1)*(-20*q**2 + 768 - 768) in the form k*q**3 + z + r*q + u*q**2 and give k. -5440 Rearrange 22*i**2 + 6033353 + 14*i**3 - 6033357 + 3*i**4 + 2*i + i to the form h*i**4 + x*i**3 + w + m*i**2 + y*i and give h. 3 Rearrange (-11*q + 48 - 48)*(-3 + 2 - 1) - 5 + 5 + 2*q - 4*q + 5*q + 11*q + (-1 + 0 - 1)*(2*q + 2*q - 6*q) to f + l*q and give l. 40 Rearrange -16307*u + 1 + 3 + 16606*u - 1 to the form t + r*u and give r. 299 Rearrange -69*k + 1 - 8*k - 131*k - 173*k - 228*k to the form u + m*k and give m. -609 Rearrange (4*b - 4*b + 6*b)*(-7*b - 8*b + 5*b + (0 + 0 - 2*b)*(0 + 5 - 1)) to c*b + y + a*b**2 and give a. -108 Rearrange -47 + 5237*t - 3*t**2 - 5237*t to m*t + r*t**2 + h and give h. -47 Rearrange (3105*s - 3103*s - 178*s**3 + 181*s**3 + 34*s**2)*(-48 - 45*s + 48) to the form z*s**3 + d*s + l + n*s**2 + f*s**4 and give z. -1530 Express (39876*o**3 - 79259*o**3 + 39694*o**3 - 6*o**2)*(4 + 2 - 2) as x + z*o**3 + y*o + f*o**2 and give z. 1244 Rearrange 176*f**2 - 199*f**2 + 30*f**2 + 541*f + 293*f to the form u + t*f**2 + d*f and give d. 834 Rearrange 2 - 3*r**4 + 2*r - r**2 - 8*r**2 - r**4 - 25*r**3 + r**2 - r**2 to z*r**3 + n + m*r**4 + b*r**2 + w*r and give w. 2 Rearrange 1942 - 5*a - 3608 + 2200 to d + m*a and give m. -5 Rearrange (-2*c - c + c)*(-89*c - 36*c + 219*c + (1 + 0 + 0)*(-19 - 19*c + 19)) + c**2 - 5*c**2 + 2*c**2 to k + x*c**2 + s*c and give x. -152 Rearrange -6047*z**2 - 149 + 9*z + 149 - 9*z to the form s + v*z**2 + y*z and give v. -6047 Rearrange (l - 2*l + 3*l)*(7 - 13 + 7)*(213 + 7 + 14 + 243) to the form k + w*l and give w. 954 Express (2*m**3 - m**4 - 2*m**3)*(-1 + 0 - 1) - 5*m**2 - 12530608*m**3 + 12530608*m**3 + 55*m**4 - 4 as z*m + n + v*m**2 + d*m**4 + f*m**3 and give v. -5 Express 8916*q**3 + 5 - 6 - 8914*q**3 - 461*q in the form r*q**3 + h*q + b*q**2 + p and give p. -1 Express -209 + 766 + v**2 - 236 - 24*v**3 - 273 - v**4 as f*v**2 + z*v**4 + o + q*v + r*v**3 and give r. -24 Rearrange 22220*z**2 - 11118*z**2 - 11104*z**2 - 1339*z to the form d*z + f + s*z**2 and give f. 0 Express 5*y**4 - 3*y**4 + 1 + 0*y**4 + (2 - 2 + 3)*(5*y**4 - 2*y**4 - y**4) + 26*y**4 + 2*y**4 - y**4 as d*y**2 + x + f*y + i*y**4 + n*y**3 and give x. 1 Rearrange (u**2 - u**2 - u**2)*(3 + 3 - 3)*(13 - 6 - 17)*(-70*u - 115*u + 4*u) to z*u**3 + y*u + h + s*u**2 and give z. -5430 Rearrange 0 - 4*p - 8 + 63*p + 1 to the form w*p + x and give w. 59 Rearrange -6069*o**2 + 2*o + 6383*o**2 + 5 - 7 to w*o**2 + s + q*o and give s. -2 Rearrange (-5*g - 7*g - 8*g)*(-3 + 4 + 0)*(2*g + g - g)*(0 + 1 - 2)*(-103 + 39 + 29) to the form k*g**2 + n + c*g and give k. -1400 Rearrange (5*y**2 + 0*y**2 + 7*y**2 + (-127*y + 23*y + 21*y)*(-3*y + 3*y + y))*(5*y**2 - 2*y**2 - y**2) to z + j*y**2 + t*y + c*y**3 + i*y**4 and give i. -142 Express (-5*u + 2*u + u)*(8 + 1 - 3)*(-12*u - 4*u + u) - 304*u**2 + 135*u**2 + 91*u**2 as f*u + q + d*u**2 and give d. 102 Express (-11 - 11 + 12 + (-1 + 4 - 1)*(-3 + 2 + 3) + 11 - 10 - 12)*(0*p + 3*p + 8*p) in the form s + r*p and give s. 0 Rearrange -3268*s - 5693*s + 458*s + 1108*s to v + g*s and give g. -7395 Rearrange (-611 - 22*y + 611)*(2*y**3 - 8*y**2 - 95 + 95) to the form v*y**4 + z*y + b + t*y**2 + a*y**3 and give a. 176 Rearrange 1 - 2*w - 1317*w**3 + 373*w**3 - w**4 - 134*w**3 to i + a*w + k*w**3 + x*w**2 + j*w**4 and give a. -2 Express (-15*y + 24*y + 2 - 132*y - 2 - 3)*(-2 - 3 + 0) as k*y + q and give k. 615 Rearrange (-2 + 4*c + 2)*(5*c - 5*c + 3*c) + (-1311 + 1311 - c)*(-5*c + 0*c + 4*c) - 29 + 26 + 70 + c**2 to d*c**2 + y*c + w and give w. 67 Express -5*p**3 - 7*p**3 - 13*p**2 - 7*p**3 + 33*p + 10*p + 2*p**4 - 33*p in the form o + m*p**4 + y*p**3 + f*p + r*p**2 and give r. -13 Express -591*x - 9*x**3 + 594*x - 21*x**2 + 0*x**2 in the form t + f*x**3 + v*x + i*x**2 and give f. -9 Rearrange (-7139 - 328 - 3990)*(2*t + 4*t - 3*t) to f*t + w and give f. -34371 Rearrange -3169*z + 31*z - 500*z - 2662*z + 698*z to the form d*z + o and give d. -5602 Express -157*c + 180*c - 193*c as p + b*c and give b. -170 Express 3*n + 20*n**2 + 9*n**2 - 2*n - 3*n - 32*n**2 + 78 as y*n + j*n**2 + t and give t. 78 Express -224*a**4 + 205*a**3 - 205*a**3 + (-a**2 - 6 + 6)*(a**2
{ "pile_set_name": "DM Mathematics" }
(i) = 2*i - 12. Determine p(7). 2 Let j(y) = 3*y + 21. Give j(-4). 9 Let w(o) = -4*o**2 + 3*o + 1. Calculate w(3). -26 Let p(x) = -56*x + 480. Determine p(9). -24 Let o(j) = -2*j**2 - 18*j - 34. Determine o(-11). -78 Let y(p) = 3*p - 1. Determine y(2). 5 Let q(x) = -98*x**3 + 2*x**2 - x - 1. What is q(1)? -98 Let u(d) = -d**2 + 12*d + 13. Determine u(13). 0 Let v(k) = -27*k + 79. What is v(4)? -29 Let q(w) = -7*w - 273. Give q(-39). 0 Let p(l) = l**2 - 7*l + 13. What is p(5)? 3 Let c(t) = t**2 + 21*t + 13. Calculate c(-20). -7 Let h(x) = 18*x + 18. Determine h(0). 18 Let c(l) = -15*l**2 - 13*l - 21. Determine c(-2). -55 Let t(m) = m**2 - 9*m + 7. Give t(8). -1 Let d(q) = -2*q - 14. Give d(-5). -4 Let a(d) = -4*d + 36. What is a(13)? -16 Let n(a) = 3*a + 1. Determine n(-2). -5 Let s(w) = -w**3 - 25*w**2 + 22*w - 108. Give s(-26). -4 Let m(q) = 11*q**2 + 2*q - 1. Determine m(-2). 39 Let m(y) = -y**2 + y + 43. Calculate m(0). 43 Let b(f) = 8*f - 1. What is b(-1)? -9 Let f(n) = -n**2 + 7*n - 3. Determine f(7). -3 Let s(a) = -a**3 - 4*a**2 + 78*a - 15. Give s(7). -8 Let h(t) = -2*t**2 + 44*t - 80. What is h(20)? 0 Let l(j) = -j**3 + 7*j**2 + 9*j - 10. What is l(8)? -2 Let g(l) = l**3 - 15*l**2 + 14*l + 6. What is g(14)? 6 Let j(c) = c**2 + 27*c - 20. Give j(-28). 8 Let m(d) = -d**3 - 2*d**2 + 7*d + 4. Calculate m(4). -64 Let v(c) = -c + 4. Give v(0). 4 Let q(z) = 4*z**3 + z**2 - 5*z - 2. Give q(-2). -20 Let g(p) = -p**3 - 9*p**2 - 3*p. Give g(-8). -40 Let f(d) = -4*d + 12. Calculate f(7). -16 Let o(w) = w**3 - 3*w**2 - w + 1. Determine o(2). -5 Let b(f) = f**3 - 8*f**2 - 8*f + 6. What is b(9)? 15 Let t(j) = -j**3 + 5*j**2 + 5*j + 2. Determine t(6). -4 Let n(k) = -4*k**2 - 6*k + 6. Determine n(1). -4 Let o(h) = 8*h. Determine o(-2). -16 Let s(c) = -c**2 + 5*c + 5. Determine s(-2). -9 Let b(z) = -z**2 - 16*z + 112. What is b(-21)? 7 Let i(g) = -g**2 - g. Give i(-5). -20 Let o(k) = 2*k**3 - k**2 + k. What is o(1)? 2 Let u(h) = -h**2 - 17*h - 48. What is u(-12)? 12 Let j(z) = 4*z + 3. What is j(-2)? -5 Let y(i) = i**3 - i**2 + i - 14. Determine y(0). -14 Let f(h) = h**2 + 25*h - 78. Determine f(-28). 6 Let j(g) = -3*g - 75. Determine j(-25). 0 Let o(w) = -93*w + 2517. Calculate o(27). 6 Let m(s) = -s**2 + 8*s + 36. What is m(11)? 3 Let x(r) = r**3 + 6*r**2 + r - 1. Give x(-6). -7 Let v(s) = -9*s + 20. Calculate v(3). -7 Let b(z) = z**2 + 14*z + 37. Give b(-10). -3 Let l(f) = -29*f + 782. Determine l(27). -1 Let s(r) = -r**3 - 15*r**2 + 12*r - 20. What is s(-16)? 44 Let r(a) = 2*a**2 - 2*a. What is r(-1)? 4 Let w(t) = -2*t + 12. Give w(-6). 24 Let x(p) = -6*p**2 + 44*p - 9. Calculate x(7). 5 Let y(i) = -57*i**2 - 2*i - 1. Determine y(-1). -56 Let k(s) = -s**3 - 13*s**2 - 11*s - 5. Calculate k(-12). -17 Let d(h) = -h + 3. Give d(-6). 9 Let j(g) = g**3 + 3*g**2 - 3. Calculate j(-3). -3 Let k(y) = -29*y**2 - 5. Calculate k(3). -266 Let n(t) = -t**2 - 2*t + 1. Determine n(-4). -7 Let p(j) = -j**2 + 20*j - 87. Determine p(15). -12 Let w(n) = -7*n - 11. Calculate w(-1). -4 Let s(f) = -f**3 + 6*f**2 + 9*f - 10. Determine s(7). 4 Let d(m) = m**3 - 15*m**2 - 33*m - 20. What is d(17)? -3 Let z(c) = 4*c**3 - 3*c**2 + 1. Give z(2). 21 Let z(o) = -60*o - 1. Determine z(-1). 59 Let f(m) = 3*m - 44. Give f(15). 1 Let g(r) = 7*r**2 + 55*r + 2. Give g(-8). 10 Let r(z) = -z**3 + 3*z**2 - 3*z + 4. Give r(3). -5 Let c(b) = -b - 2. Calculate c(5). -7 Let y(r) = -r**3 - 5*r**2 + 10*r - 23. Calculate y(-7). 5 Let f(x) = -4*x**2 + 8*x - 16. What is f(3)? -28 Let b(o) = o**2 - 2*o - 8. Calculate b(-6). 40 Let v(q) = 2*q**2 + 4*q - 5. Calculate v(-5). 25 Let t(d) = 107*d - 2. Give t(-1). -109 Let p(r) = -r**3 - 6*r**2 + 5. What is p(-6)? 5 Let t(s) = -s**3 - 6*s**2 - 4*s + 8. Determine t(-5). 3 Let d(m) = -17*m**2 - m - 1. Determine d(-1). -17 Let r(f) = -f**2 + f + 16. Calculate r(-4). -4 Let s(o) = -o**3 + 55*o**2 - 104*o - 111. Determine s(53). -5 Let c(v) = -2*v**3 + 11*v**2 + v + 19. Determine c(6). -11 Let x(r) = -r**3 + 19*r**2 + 2*r - 24. Determine x(19). 14 Let b(s) = 2*s + 2. Determine b(-11). -20 Let a(z) = -z - 10. Determine a(3). -13 Let d(w) = -4*w**2 + 30*w + 47. Calculate d(9). -7 Let k(f) = -3*f**2 + 26*f - 13. Calculate k(8). 3 Let a(q) = 2*q + 8. What is a(0)? 8 Let b(g) = 3*g**3 + 4*g**2 + 3*g - 4. Calculate b(3). 122 Let l(q) = q**2 + 2*q - 1. Determine l(6). 47 Let v(s) = s**3 - 11*s**2 - 2*s - 2. Give v(11). -24 Let u(o) = 12*o - 57. Give u(5). 3 Let g(q) = -q**3 + 7*q**2 - 5*q - 9. What is g(5)? 16 Let m(z) = -z**2 - 5*z - 7. Calculate m(-5). -7 Let m(o) = -7*o**2 - 2. Determine m(2). -30 Let n(k) = 3*k - 63. What is n(20)? -3 Let v(h) = -2*h**3 + 5*h**2 + 7*h - 2. Determine v(3). 10 Let f(i) = -i**2 - 3*i + 55. Give f(5). 15 Let b(o) = -6*o + 138. Calculate b(25). -12 Let p(q) = 2*q - 95. What is p(-15)? -125 Let b(i) = -4*i + 24. What is b(5)? 4 Let j(y) = -y + 11. Give j(9). 2 Let z(w) = w**2 - 2*w - 1. Determine z(-2). 7 Let u(r) = -r**2 + 8*r + 2. What is u(8)? 2 Let i(f) = -f - 7. Calculate i(12). -19 Let z(h) = h**2 - 5*h + 7. Calculate z(6). 13 Let k(g) = 9*g + 123. Calculate k(-12). 15 Let c(t) = t**2 + 5*t - 6. Calculate c(-3). -12 Let j(l) = -l**2 - 12*l + 11. Calculate j(-12). 11 Let r(y) = -y**2 + 20*y + 17. Determine r(19). 36 Let v(a) = a**3 + 8*a**2 - 3*a - 20. Calculate v(-8). 4 Let y(d) = 7*d**2 + d - 3. Give y(2). 27 Let c(h) = 6*h + 9. What is c(-7)? -33 Let h(d) = -51*d + 360. Give h(7). 3 Let k(b) = b**3 - 3*b**2 - 6*b - 1. Calculate k(-2). -9 Let n(d) = -d**3 + 13*d**2 + 30*d - 7. Calculate n(15). -7 Let l(d) = -d**2 - d + 20. Give l(6). -22 Let s(b) = b**3 + b. Give s(-1). -2 Let d(y) = 18*y + 133. What is d(-8)? -11 Let s(c) = -c**3 + c**2 + 9*c - 14. Calculate s(2). 0 Let g(n) = -n**3 - 20*n**2 - 42*n + 43. Give g(-18). 151 Let m(j) = -j**3 - 3*j**2 + 4*j - 5. What is m(-4)? -5 Let o(f) = -f**2 - 14*f - 10. Give o(-13). 3 Let l(b) = 2*b**2 + 19*b + 2. Give l(-13). 93 Let u(r) = r - 28. Calculate u(0). -28 Let x(f) = f**2 + 12*f + 13. What is x(-11)? 2 Let q(r) = -r**3 - 6*r**2 + 14*r + 42. Give q(-6). -42 Let n(h) = h**2 + 51*h + 138. Determine n(-48). -6 Let l(u) = -5*u**3 - 2*u**2 + u + 1. Give l(1). -5 Let y(v) = v**3 - 11*v**2 + 12*v - 16. What is y(10)? 4 Let q(s) = -2*s - 11. What is q(-9)? 7 Let n(h) = h**3 + 14*h**2 - h - 10. What is n(-14)? 4 Let a(x) = -7*x. Calculate a(8). -56 Let k(l) = l**2 + 10*l + 6. Determine k(-10). 6 Let m(l) = l**3 - 10*l**2 + 12*l - 11. Determine m(9). 16 Let d(t) = 4*t - 1. Give d(-5). -21 Let j(l) = l**3 + 9*l**2 - 28*l + 15. Give j(2). 3 Let s(q) = 2*q**2 - 17*q - 44. Give s(10). -14 Let u(k) = 6*k + 12. Give u(0). 12 Let k(d) = -d**2 + 52*d - 353. Determine k(44). -1 Let t(m) = 11*m + 30. Calculate t(-3). -3 Let m(p) = 38*p - 1. Give m(-1). -39 Let i(s) = -s**2 - 3*s - 1. What is i(-4)? -5 Let q(b) = -2*b**2 + 5*b + 5. Calculate q(5). -20 Let a(b) = -b**2 + b - 4. Give a(5). -24 Let g(o) = o + 6. What is g(8)? 14 Let u(p) = -14*p + 58. Give u(8). -54 Let b(s) = -s - 16. Give b(17). -33 Let r(f) = -f**3 + 4*f**2 + 6*f - 6. What is r(5)? -1 Let a(d) = d**2 - 66*d + 401. What is a(59)? -12 Let i(l) = l**2 + 45*l - 247. Give i(5). 3 Let d(t) = 3*t + 12. Calculate d(-7). -9 Let l(n) = -n**3 + n**2 + n - 8. Calculate l(0). -8 Let h(q) = -q**3 - 11*q**2 + 11*q - 11. Give h(-12). 1 Let x(n) = n**2 + 10*n + 5. What is x(-13)? 44 Let h(y) = y**3 - 4*y**2 - 14*y - 5. Calculate h(6). -17 Let p(w) = -11*w + 292. Give p(26). 6 Let b(w) = -4*w**2 + 7*w - 1. Give b(5). -66 Let j(p) = -p**3 + 8*p**2 - p - 35. Determine j(4). 25 Let w(c) = 3*c**3 + c**2 + c - 1. Determine w(-2). -23 Let b(v) = v**2 + 2*v - 12. What is b(0)? -12 Let x(p) = -p - 24. Determine x(-29). 5 Let n(m) = -21*m**3 + 4*m**2 + 3*m - 1. What is n(-1)? 21 Let y(m) = 5*m**3 + 4*m**2 + 5*m + 2. Determine y(-2). -32 Let b(m) = -m**3 + 3*m**2 - 2. Determine b(4). -18 Let k(b) = b**3 - 3*b**2 - 2*b - 2. Give k(-2). -18 Let z(h) = 26*h + 32. What is z(-1)? 6 Let x(p) = -p**2 + 11*p - 36. Calculate x(4). -8 Let v(a) = -a**3 - 14*a**2 + 29*a - 44. Calculate v(-16). 4 Let p(f) = -f**3 + 9*f**2 - 2*f - 3. What is p(9)? -21 Let y(n) = n**3 - 6*n**2 - 11*n + 30. Determine y(7). 2 Let i(x) = x**2 + 11. What is i(0)? 11 Let z(g) = 7*g - 16. Determ
{ "pile_set_name": "DM Mathematics" }
at 7/5*d**3 + d**4 + 2/5*d**2 + 0 + 0*d = 0. -1, -2/5, 0 Let q(n) be the third derivative of -n**5/75 + n**4/10 - 4*n**3/15 + 26*n**2. Let q(s) = 0. Calculate s. 1, 2 Let p(s) be the first derivative of -s**6/30 + s**5/10 - s**4/12 + 3*s - 1. Let t(x) be the first derivative of p(x). Factor t(w). -w**2*(w - 1)**2 Let x(m) = 6*m**3 - m - 5. Let d(n) = n**3 - 1. Let r(c) = -15*d(c) + 3*x(c). Factor r(q). 3*q*(q - 1)*(q + 1) Let v(x) be the first derivative of 2*x**6/21 - 12*x**5/35 + 2*x**4/7 + 1. Suppose v(l) = 0. Calculate l. 0, 1, 2 Let c = -1/39 + 167/429. Factor -4/11 + 14/11*q + c*q**4 - 16/11*q**2 - 2/11*q**5 + 4/11*q**3. -2*(q - 1)**4*(q + 2)/11 Let w(o) be the second derivative of o**5/40 + o**4/12 - 4*o. Suppose w(t) = 0. What is t? -2, 0 Let w(y) = y**3 + 9*y**2 + 10*y - 3. Let u(g) = -g**2 - g + 1. Let b(t) = 15*u(t) + 3*w(t). Suppose b(r) = 0. What is r? -2, -1 Let i(p) = -p**2 - 7*p + 3. Suppose 0 = -4*u - 4*s - 48, -22 = u + s + 2*s. Let b be i(u). What is l in 3*l**b + 4/5 - 19/5*l**2 + 0*l = 0? -2/5, 2/3, 1 Let g = -5 + -3. Let u be 2/(-3) + g/(-3). Factor 8*t**2 + 6 + 10*t + 0 + 2*t**3 - u. 2*(t + 1)**2*(t + 2) Let v(b) = -b**2 - 8*b + 3. Let o be v(-8). Factor -z**2 + 0*z**3 - z**o - 2*z**4 + 5*z**4 + z**5 - 2*z**4. z**2*(z - 1)*(z + 1)**2 Let t(c) = 2 + 4*c - 2 - 3*c. Let g be t(3). Factor 0 + 2/3*d**5 - 4/3*d**4 + 0*d**2 + 2/3*d**g + 0*d. 2*d**3*(d - 1)**2/3 Suppose 0 = 3*q - 1 + 4, -3*v + 20 = 4*q. Solve 3*j**4 + 12*j**3 + 18*j**2 + v*j - 7*j**4 - 4*j**5 + 2*j**2 = 0. -1, 0, 2 Suppose -p + 0 + 2 = 0. Factor p*g**2 - g**2 + g - 2 - 2*g. (g - 2)*(g + 1) Let x(u) = u + 4. Let c be x(-2). Let h(d) be the third derivative of -1/96*d**4 + 0*d**3 + 0*d - 1/240*d**5 + 0 + d**c. Solve h(k) = 0 for k. -1, 0 Let d(y) be the third derivative of y**7/42 - y**6/4 + 5*y**5/12 + 23*y**2. Factor d(f). 5*f**2*(f - 5)*(f - 1) Let h(c) be the second derivative of c**4/66 + 2*c**3/33 + c**2/11 - 11*c. Suppose h(k) = 0. Calculate k. -1 Solve 495/2*u**2 - 975/4*u**3 - 93*u + 375/8*u**4 + 12 = 0. 2/5, 4 Let n(t) = -t**3 - 22*t**2 + 23*t. Let a be n(-23). Suppose -1/2*c + a + 0*c**2 + 1/2*c**3 = 0. What is c? -1, 0, 1 Let y be (400/24)/(2/6). Solve 0 + 40*o + 4 + y*o**2 + 4 + 0 = 0 for o. -2/5 Let r be (-126)/(-4)*1 + 3. Let u = r - 34. Let -3/4*w + 1/4*w**2 + u = 0. What is w? 1, 2 Suppose -2*k = 4*v - 60, -2*v + 225 = 5*k - 7*v. Let u be 1 - -3 - k/12. Let 0*i**2 + u*i**3 - 2/3*i + 0 = 0. Calculate i. -1, 0, 1 Let c(q) be the first derivative of -7*q**4/44 - 6*q**3/11 - 5*q**2/22 + 6*q/11 - 25. Let c(l) = 0. Calculate l. -2, -1, 3/7 Let w(x) be the first derivative of -x**7/70 - 7*x**6/120 + x**4/6 + 3*x**2/2 - 4. Let s(j) be the second derivative of w(j). Let s(h) = 0. What is h? -2, -1, 0, 2/3 Let d be 4/6 + 0/(-2). Let k be ((-2)/10)/(30/(-50)). Factor 1/3*g**4 + k + 0*g**3 + 0*g - d*g**2. (g - 1)**2*(g + 1)**2/3 Let s(r) = -11*r**3 - 11*r**2 + r + 6. Let w(j) = 16*j**3 + 16*j**2 - 2*j - 9. Let n(m) = 7*s(m) + 5*w(m). Factor n(v). 3*(v - 1)*(v + 1)**2 Let r(f) = -f + 4. Let p be r(9). Let b(h) = -6*h**4 + 2*h**3 - 2. Let a(z) = -z**5 - 13*z**4 + 4*z**3 - 5. Let l(n) = p*b(n) + 2*a(n). Let l(q) = 0. What is q? 0, 1 Factor -7/3*p**3 - p**4 - 1/3 - 8/3*p**2 - 3/2*p - 1/6*p**5. -(p + 1)**4*(p + 2)/6 Determine a so that -2/7 - 1/7*a + 1/7*a**2 = 0. -1, 2 Let x(z) = -z - 37. Let k be x(-9). Let q = k + 28. Factor 1/3*m**2 + 1/3*m**3 + q*m + 0. m**2*(m + 1)/3 Let c(q) be the second derivative of 0*q**3 + 0*q**2 - 1/12*q**4 - 5*q + 2/21*q**7 - 1/5*q**5 + 1/30*q**6 + 0. Factor c(o). o**2*(o - 1)*(o + 1)*(4*o + 1) Factor 2*l**3 - 4*l**3 - 6*l**5 + 37*l**4 + 4*l**3 - 33*l**4. -2*l**3*(l - 1)*(3*l + 1) Let j(p) be the third derivative of 0*p**4 + 1/378*p**8 - 2*p**2 - 1/270*p**5 + 0 + 0*p - 1/105*p**7 + 0*p**3 + 1/90*p**6. Factor j(c). 2*c**2*(c - 1)**2*(4*c - 1)/9 Factor 5*a**3 - 1 + 1 - 6*a**5 + 10*a**4 + 11*a**5. 5*a**3*(a + 1)**2 Find o, given that -2*o**4 + 2*o**2 + 11*o**5 - 6*o**5 - 4*o**5 - 2*o**5 + o = 0. -1, 0, 1 Factor -5*v**4 - 4*v**3 - 3*v**3 - 5*v**3 - 5*v - 3*v**3 - 15*v**2. -5*v*(v + 1)**3 Suppose -3*u - 3 = 6, 2*t = -u + 3. Solve -w**2 - 3*w**2 + w**4 + 4*w**2 - 3*w**t + 3*w**2 - w = 0. 0, 1 Let g = 15 - 9. Suppose -g*k + 5*k = 0. Factor 0*r**2 + k + 0*r + 2/3*r**3. 2*r**3/3 Suppose -4/3*v**4 + 16/3*v + 4 - 8/3*v**2 - 16/3*v**3 = 0. What is v? -3, -1, 1 Let n be (15/9)/(2/12). Suppose 4*k = -k + n. Determine q so that 1/5*q + 2/5*q**k + 0 + 1/5*q**3 = 0. -1, 0 Let d(b) = b**3 + 6*b**2 - b - 4. Let n be d(-6). Suppose -n*a = -6 + 2. Solve s - 5*s - a*s**4 + 4*s**3 + 0*s**4 + 2 + 0*s**4 = 0. -1, 1 Let i(c) = -c**2 + 1. Let w(s) = 3*s**2 - 3*s - 2. Let k(v) = -4*i(v) - w(v). Let t be k(-4). Factor -a - 1/3*a**t - 2/3. -(a + 1)*(a + 2)/3 Suppose i + 2*n + 111 = -2*i, 47 = -i - 4*n. Let g be 27/45 - (-11)/i. Factor g*p**2 + 0 + 0*p. 2*p**2/7 Let c(h) be the third derivative of 0 + 1/72*h**4 + 1/45*h**5 + 0*h - 1/9*h**3 - 1/120*h**6 - 5*h**2. Factor c(w). -(w - 1)**2*(3*w + 2)/3 Let u(r) = -2*r + 28. Let a be u(14). Factor 0*k**2 + 0*k + 1/2*k**3 - 1/2*k**5 + a*k**4 + 0. -k**3*(k - 1)*(k + 1)/2 Let m(s) be the third derivative of 1/30*s**5 + 1/120*s**6 - 4/3*s**3 - 1/6*s**4 + 0 + 0*s + 4*s**2. Factor m(i). (i - 2)*(i + 2)**2 Let v(g) be the third derivative of g**8/84 - g**6/5 + 8*g**5/15 - g**4/2 - 10*g**2. Factor v(u). 4*u*(u - 1)**3*(u + 3) Let x(s) be the first derivative of s**3/6 - 2*s**2 + 7*s/2 + 14. What is j in x(j) = 0? 1, 7 Let z(v) = -32*v**5 + 44*v**4 - 12*v**3 - 8*v**2 - 8*v - 8. Let t(o) = 21*o**5 - 29*o**4 + 8*o**3 + 5*o**2 + 5*o + 5. Let b(p) = -8*t(p) - 5*z(p). Factor b(q). -4*q**3*(q - 1)*(2*q - 1) Factor 5*y**2 - 2*y**3 + 9*y**4 - 8*y**3 + 8*y - 10*y**3 + 2*y**3 - 4. (y - 1)**2*(3*y - 2)*(3*y + 2) Let r(u) be the first derivative of -2/3*u**3 + 2*u**2 - 2 + 0*u. Factor r(v). -2*v*(v - 2) Let b(a) = 4*a + 28. Let p be b(-7). Factor 1/2*f + 0 + p*f**4 + 1/2*f**5 - f**3 + 0*f**2. f*(f - 1)**2*(f + 1)**2/2 Let 0 + 2/7*f**2 - 2/7*f = 0. What is f? 0, 1 Let u be 2 + 76/57*(-3)/(-2). Factor 0 + 2/5*n - 2/5*n**3 - n**2 + n**u. n*(n - 1)*(n + 1)*(5*n - 2)/5 Let a(p) be the third derivative of 2*p**2 - 1/30*p**6 + 0*p**3 + 0 + 1/15*p**5 - 2/105*p**7 + 1/6*p**4 + 0*p. Factor a(v). -4*v*(v - 1)*(v + 1)**2 Let r(s) be the second derivative of s**6/120 + 3*s**5/160 + s**4/96 + s. Determine p, given that r(p) = 0. -1, -1/2, 0 Suppose -c - 1 = w - 2*w, -w + 3*c = -3. Let f be (1/3)/(1 - 0). Suppose w + 1/3*u**2 + f*u**3 - 2/3*u = 0. What is u? -2, 0, 1 Let p(h) be the second derivative of 2*h - 1/30*h**3 + 1/30*h**4 - 1/75*h**6 + 0*h**5 + 0 + 0*h**2 + 1/210*h**7. Factor p(t). t*(t - 1)**3*(t + 1)/5 Suppose 0 = 2*a - 3*s + 69, a = -2*a - s - 76. Let q be a/(-15) - (-2)/10. Factor b**3 - b**4 + 2*b**q - b - b**2 + 0*b. -b*(b - 1)**2*(b + 1) Let g(y) be the third derivative of -y**7/8820 - y**6/1260 + y**4/24 + 7*y**2. Let x(w) be the second derivative of g(w). Solve x(o) = 0 for o. -2, 0 Let y(s) = -397*s**3 + 523*s**2 - 108*s - 42. Let c(j) = -398*j**3 + 522*j**2 - 107*j - 43. Let p(n) = 3*c(n) - 2*y(n). Find w such that p(w) = 0. -1/5, 3/4 Let d(z) = 3*z**2 + 2*z - 1. Let w be d(1). Suppose 3*f + 2*f - 23 = c, -w*c + 3*f - 7 = 0. Factor 2/3*b - 1/3 - 1/3*b**c. -(b - 1)**2/3 Let n(v) be the first derivative of v**5/120 - v**4/36 - v**3/36 + v**2/6 - v - 1. Let l(x) be the first derivative of n(x). Factor l(p). (p - 2)*(p - 1)*(p + 1)/6 Let t(m) = -13*m**2 - m + 9. Let w(a) = -4 + 1 + 3*a**2 - 2 + 3. Let b(g) = 2*t(g) + 9*w(g). Determine c so that b(c) = 0. 0, 2 Let h = -4 - -6. Suppose 3*y - 2 = -4*a - 0, -4 = 2*a + 4*y. Determine g, given that -g**2 - 7*g**h + a*g**3 - 5*g**3 - 4*g = 0. -2, -2/3, 0 Let h(u) be the third derivative of -1/15*u**5 + 0 - 1/3*u**4 + 0*u + 3*u**2 + 0*u**3. What is t in h(t) = 0? -2, 0 Let h(u) be the first derivative of 2/3*u - 4/15*u**5 - 1/2*u**4 + 3 + u**2 + 2/9*u**3. Find a, given that h(a) = 0. -1, -1/2, 1 Let f be 2/4 + (-5)/(-10). Let p = -1 + f. Factor -14*o**3 - 3*o**2 - o**2 + p*o**2. -2*o**2*(7*o + 2) Suppose -2 = -2*s + 2. Let a be 1/s*(-52)/(-39). Factor g + a*g**2 + 0*g**4 - 2/3 - 4/3*g**3 + 1/3*g**5. (g - 1)**3*(g + 1)*(g + 2)/3 Let d(s) be the second derivative of -s**8/5040 - s**7/1260 - s*
{ "pile_set_name": "DM Mathematics" }
t q be (2 - (3 - 3))*-1*-1. Suppose 5*t = -3*m + 24, q*t + m = 3*t. Suppose -t*r + 24 = 3*s - 342, 3*s = -4*r + 361. What is the tens digit of s? 2 What is the units digit of ((-148)/185)/((-1)/5680)? 4 Let b = -6550 + 12181. What is the units digit of b? 1 Let y = -5441 + 2608. Let b = -1613 - y. What is the thousands digit of b? 1 Let f(i) = -95*i + 8. Let b be f(-2). Let s be b/45 + 4/(-10). Suppose -5*p + 252 = -n, 2*p + 2*p = s*n + 208. What is the tens digit of p? 5 Let h(i) = 38*i + 15. Let r be h(-7). Let n = -164 - r. Let f = n - 29. What is the tens digit of f? 5 Suppose b - 44558 = 3*d, 2*d + 222764 = -304*b + 309*b. What is the thousands digit of b? 4 Suppose 36*g + 8*g - 94297 = 25*g. What is the hundreds digit of g? 9 Let m be 24/8 + (5 - 1). Suppose 8 = m*t - 3*t. Suppose 0 = -t*v + 4*v - 264. What is the tens digit of v? 3 Suppose -2660 + 56 = -7*h. Suppose 0*f = 5*f - 4*a - h, 0 = 3*f - 5*a - 231. Suppose d - t + 2*t - f = 0, -5*d = 2*t - 357. What is the units digit of d? 1 Suppose -71 - 17 = -11*x. What is the tens digit of (((-28080)/35)/x)/(2/(-14))? 0 Suppose 0 = 4*j + 4*o + 844, -3*j + o = 629 - 8. What is the hundreds digit of (j/24 + 8)/(1/(-729))? 4 Suppose 0 = 9*n + 19*n + 12656. Let o = 1717 + n. What is the units digit of o? 5 Let u = 47801 + -23768. What is the tens digit of u? 3 Let j(q) = q**3 - 21*q**2 - 12*q - 71. Let a be j(22). Let h = a - -502. What is the tens digit of h? 5 Let r be 2/13 + (-10542)/(-91) - 0. Let p = 142 + r. What is the units digit of p/8 - 2/8? 2 Let j(r) = 3*r + 18. Let b be j(-5). Suppose -b*v - 25 = 98. Let s = v - -88. What is the units digit of s? 7 Let n(d) = 2*d**2 - 9*d + 62. What is the hundreds digit of n(-31)? 2 Let t(a) = -272*a + 10. Let y be t(2). Let l = y - -785. What is the units digit of l? 1 Let n be 8/36 - (-50)/18. Suppose -404 = -4*t + n*w, -w + 480 - 76 = 4*t. What is the tens digit of t? 0 Suppose -2700 = -54*w + 60*w. Let l = 1157 + w. What is the units digit of l? 7 Let j = 40 + -35. Suppose 0 = -2*g - j*z - 98, -2*g - 2*z = -z + 98. Let b = -17 - g. What is the units digit of b? 2 Let j be (-6)/(-4) - (130/20)/(-13). Suppose -5*g - 3604 = -4*o - j*g, 3*g + 1796 = 2*o. What is the hundreds digit of o? 9 Suppose 96708 + 867002 = 55*s. What is the ten thousands digit of s? 1 What is the hundreds digit of (-19508)/(-2) + (-47 - -40)? 7 Let z(d) = -5*d**3 - 3*d**2 + 12*d - 10. Let i(g) = -g**3 + 2*g**2 + 6*g - 14. Let q be i(3). What is the hundreds digit of z(q)? 4 Let z = -4973 - -18687. What is the hundreds digit of z? 7 Suppose 431*j + 1107085 = 9512878. What is the units digit of j? 3 Suppose -117918 = -5*j - 3*n, -4*j + 1314*n - 1312*n + 94330 = 0. What is the thousands digit of j? 3 Suppose -5*v = 0, -3*v + 11860 = 9*c - 4*c. What is the thousands digit of c? 2 Let c(z) = -2*z - 28. Let h be c(-16). Suppose h*p - 5515 = 5*s + 3*p, 3337 = -3*s - 5*p. What is the units digit of (-2)/(-6) - (3 - s/(-9))? 0 Let x(s) = 182*s - 2. Suppose -2*z + 45 = 3*z. Let n be 3*((-12)/z)/(-4). What is the tens digit of x(n)? 8 Suppose -2*h - 6082 - 16314 = -4*p, 5*h + 61592 = 11*p. What is the hundreds digit of p? 6 Suppose -2*y - 2*y = 20. Let l(i) = -i**3 - 5*i**2 + i - 3. Let j be l(y). What is the units digit of (2*(-45)/8)/(j/64)? 0 Let c be (1/2)/1*(14061 - -17). Suppose 10*k - c = 491. What is the tens digit of k? 5 Suppose -4*o + 5*i - 17 = 0, -4*o = 6*i - 2*i - 28. What is the tens digit of 124/(0 + o + 0/(-17))? 6 Let i(f) = 0*f + 6 - 11*f**2 + 4*f**2 - f**3 - 1 - 12*f. Let t be i(-5). Suppose 0 = 3*j - 87 + t. What is the units digit of j? 4 Let u = -7668 + 10020. What is the units digit of u? 2 Let f(v) be the third derivative of -9*v**6 - v**5/60 + v**4/24 + v**3/2 - 119*v**2. What is the hundreds digit of f(-1)? 0 Suppose -10*j + 273405 = -118635. What is the tens digit of j? 0 Let s = 70436 - 40990. What is the units digit of s? 6 Suppose -22*w = -13*w - 198. Let a be (1 - w/4)*-2. Let x(k) = -k**3 + 10*k**2 - 6*k + 4. What is the units digit of x(a)? 1 Let k = 27170 + -7801. What is the ten thousands digit of k? 1 Let n(b) = -b**3 - 27*b**2 - 11*b + 92. Suppose -3*k + 5*k + 54 = 0. What is the tens digit of n(k)? 8 Suppose -126 = -3*o + 882. Let y = o - 213. What is the tens digit of y? 2 Let c be ((-7)/(-4))/(4/16). Let j(k) = 8*k**2 - 27*k + 157. Let q be j(13). Suppose -v = -c*v + q. What is the units digit of v? 3 Let c be -1 + 1 + -3 - (-27 - 50). Let i(j) = -j**3 - 4*j**2 - 6*j - 10. Let r be i(-7). Let m = r - c. What is the units digit of m? 5 Let k(w) = w**3 - 11*w**2 + 6*w - 23. Let y be k(11). Let d(u) = 21 - 119*u - y + 7. What is the units digit of d(-2)? 3 Let z(t) = -2*t**3 + 123*t**2 + 741*t - 100. What is the hundreds digit of z(65)? 4 What is the units digit of (4 + -9)/(400/(-3794480))? 1 Suppose 3*g + 47 = 53. Suppose g*b - 2*i = 7*b - 4787, 2*b + 2*i = 1916. What is the hundreds digit of b? 9 Let d(i) = -2*i**3 - 2*i**2 - 4*i - 14. Let z be d(-4). Let t = 60 + z. What is the units digit of t? 8 Suppose -3*q + y = -47927, 4*q + 3*y - 72365 + 8445 = 0. What is the thousands digit of q? 5 Suppose 3*o + 2*t - 19066 = 0, -o = -2*o - 3*t + 6367. Suppose 13*h - 19079 = -o. What is the units digit of h? 9 Let h be 5*(-1 + 9/5). Let b be -6*h/(-3 - 5). Suppose -4*v = 8, -b*x + 3*v - 6*v = -462. What is the tens digit of x? 5 What is the hundreds digit of 9/(-24) - (7 + 119805/(-120))? 9 Let x(b) = -b + 19. Let j be x(15). Suppose -2*w - 3*p + 195 = 0, j*p - 27 + 7 = 0. Let m = w - 3. What is the tens digit of m? 8 Let f be (-16)/(-24) - (-35)/15. What is the units digit of (20496/(-9))/(-7) + (-1)/f? 5 Let m be 3/2*-2*1. What is the tens digit of (-8)/10*(m + (-10792)/16)? 4 Let l(u) be the third derivative of u**5/60 - u**4 + 19*u**3 + 5*u**2 - 6*u. What is the units digit of l(29)? 9 Let c(q) = q**2 - 12*q + 50. Let g be c(12). What is the units digit of ((-584)/40 - 10)/((-2)/g)? 5 Let t(q) = -4*q - 3. Let s(l) = 6*l**2 - 1. Let a be s(1). Let z = -13 + a. What is the units digit of t(z)? 9 Let c(s) = -4*s**3 - 9*s**2 - 20*s - 8. Let p = -153 + 149. What is the hundreds digit of c(p)? 1 Let q(f) = -24*f - 81. Let x(m) = -2*m**3 - 7*m**2 + 12*m - 3. Let n be x(2). What is the tens digit of q(n)? 7 What is the tens digit of (-3)/(135/(-292625)) + (-24)/(-108)? 0 Let i(x) = 240*x + 398. Let d(m) = -120*m - 200. Let c(g) = 5*d(g) + 3*i(g). What is the units digit of c(6)? 4 Let r = 100770 - 71257. What is the ten thousands digit of r? 2 Let c = -45 + 41. Let g be (15/c)/(-5) + 15535/(-52). Let r = 554 + g. What is the tens digit of r? 5 Let f(j) = j**3 - 27*j**2 - 2*j - 19. Suppose -6*i + 11*i = 2*g + 134, -25 = -i + g. What is the units digit of f(i)? 9 Let o(n) = n**3 + n**2 - 5*n - 10. Let x be o(2). Let j(h) = 10 - 3 + 10 + 5*h**2 + 18*h - 1. What is the tens digit of j(x)? 9 Let t(c) = c**3 + 9*c**2 + 9*c + 4. Let b be t(-6). Let v = b - -459. Suppose -5*i + v = -33. What is the tens digit of i? 1 Let m = -97 + 101. Suppose m*d - 830 + 262 = 0. What is the units digit of d? 2 Let v(l) = 32*l - 93. Let y be v(9). Suppose -3*p = 2*h - 123, y = 3*h - p + 2*p. What is the tens digit of h? 6 Let r = -4451 + 6281. What is the units digit of 135/(-315) - r/(-7)? 1 Suppose 3*a - 26025 = -3*o, 61*o - 5*a = 60*o + 8705. What is the units digit of o? 0 Suppose -9 = h + 2*u + 22, 0 = -3*u - 15. Let k be (-346)/(-10) - 6/(-15). What is the tens digit of (-5)/k - 2397/h? 1 Let o(u) = u. Let q(a) = -24*a + 8. Let r(c) = 2*o(c) + q(c). Let v be r(4). What is the units digit of ((-5)/2 + 1)*v? 0 Let t = -174 - -190. Suppose 0 = -t*a + 40*a - 15072. What is the hundreds digit of a? 6 Let c be (-4)/6*387/(-86). Suppose 0 = -c*a + 565 + 1655. What is the hundreds digit of a? 7 Let h(b) = -b**3 - 17*b**2 + 59*b - 25. Let t be h(-20). What is the hundreds digit of 1 - t/(30/6114)? 0 Let f(l) = 8*l**2 + l - 13. Let i be f(8). Let v = i - 422. What is the tens digit of v? 8 Let w = -152 - -217. Suppose -12 = a + 2*t - 31, -5*t - w = -2*a. What is the tens digit of a? 2 Suppose -12702 = -896*r + 893*r. Suppose -5*n - r = -3*m, 5*m - 3*n - 7062 = -0*m. What is the units digit of m? 3 Suppose -2088 = -n - 5*n. Suppose 0 = -q + 3*r + 155, n + 293 = 4*q - 5*r. Suppose
{ "pile_set_name": "DM Mathematics" }
-284 + 458. Let p = d - 93. Let n = 81 - p. Put 1, 1/2, n in ascending order. n, 1/2, 1 Let r = -884 - -1475. Let k = 591 - r. Sort -198, k, 3 in descending order. 3, k, -198 Let j = -13234 - -11893. Sort j, -5, -2, 5 in descending order. 5, -2, -5, j Let p be 1/(1*-1 + -14 + 14). Put 15, p, 12, 3 in decreasing order. 15, 12, 3, p Let r = 1600 - 1525. Put -0.3, -2, r, 0.4 in descending order. r, 0.4, -0.3, -2 Suppose 27*w - 10 = 31*w + 5*b, -5*b = 5*w + 15. Let a be ((-2)/(-6))/(8/72). Put w, -1, 60, a in decreasing order. 60, a, -1, w Let u = -133 + 172. Suppose 24 = u*n - 43*n. Sort 0, n, -3 in increasing order. n, -3, 0 Let q = 116 + -280. Let j = 163.8 + q. Sort j, -4/7, -2. -2, -4/7, j Suppose -4*m - 3 = -2*z - 3*z, 0 = 4*z + 20. Let j = -14061 - -14058. Put j, m, -4 in decreasing order. j, -4, m Let f(y) = 3*y**3 + 4*y**2 + 36*y + 72. Let h be f(-2). Sort h, 5, 1, 7. h, 1, 5, 7 Let g = 2315.94 + -2339. Let t = g + 23. Put t, -5, 0.1 in ascending order. -5, t, 0.1 Let f(v) = v - 1. Let j be f(-3). Suppose 7*m = 6 + 1. Suppose -h + 4 = -4*s, -2*s + m = -2*h + 9. Put h, 1, j in decreasing order. h, 1, j Suppose -154*u = 118*u - 237*u + 35. Let k be (-4)/3*6*1. Put k, 1, u, 3 in increasing order. k, u, 1, 3 Let u(m) = 2*m - 26. Let q be u(12). Let i = -18 + 21. Put -127, q, i, 0 in ascending order. -127, q, 0, i Let s = 3 + -3.1. Let p = -6/463 + -800/9723. Let c = 3/152 - -277/1368. Sort s, c, p, 2/3. s, p, c, 2/3 Let x = -29608.98 + 29609. Put x, 1/13, -0.5 in decreasing order. 1/13, x, -0.5 Let x = -0.0845 - 39.6155. Sort -0.3, -3, x in ascending order. x, -3, -0.3 Let u = -155.358 + 0.358. Let t = u - -153. Suppose 3*p - 3*v + 18 = 0, 5*p - v - 2 = -20. Sort p, t, 3 in decreasing order. 3, t, p Let r = 7421 + -7420.4. Sort 5, r, -0.2, 7, 1/2 in ascending order. -0.2, 1/2, r, 5, 7 Let m = 1851 - 1852. Sort -2, m, 84. -2, m, 84 Let h(n) = -n**2 + 13*n - 38. Let f be h(9). Suppose 4*j + 19 = -3*p, j + 5*p = -0*j + 8. Sort f, -8, -1, j. -8, j, f, -1 Let z(g) = -19*g + 137. Let h be z(14). Let n = 132 + h. Put -3, 31, n in descending order. 31, n, -3 Suppose -1546*j + 1565*j = -247. Let f(w) = -w**3 - 5*w**2 + 7*w + 6. Let k be f(-6). Put j, 5, k, 1 in increasing order. j, k, 1, 5 Let p = -10503 - -10389. Put 15, 4, p in decreasing order. 15, 4, p Let v = -75 - -139. Let p = v - 44. Suppose 5*z - 2*z + 5*s - p = 0, -z + 4 = s. Sort z, -2, 1, 3 in descending order. 3, 1, z, -2 Suppose 5*d = -5*q - 120 + 110, -3*q = -4*d - 22. Sort 0, d, -3, 156 in ascending order. d, -3, 0, 156 Let d be ((-1)/6)/(22/(-44))*2/2. Let f be (3 + -1 - 8)*-1. Let c be 1/2*f/(-5). Put c, 5, d in decreasing order. 5, d, c Let d = 27188 + -28313. Put 4, -9, d in increasing order. d, -9, 4 Let l = 4 - 5. Let m = 0.5 + l. Suppose s + 36 = -4*j, -3*j + 2*s - 18 = -j. Put j, -0.3, m in decreasing order. -0.3, m, j Let t = -2842.8 + 3299.8. Sort 4, -2, t in descending order. t, 4, -2 Let y be (5 - 3) + 5/1. Let t be -8 + 7 + (-3 - (-1)/1). Suppose 1 = 2*c - 1. Sort y, c, -1, t. t, -1, c, y Let m be (-103 + 36)/((-2)/(-6)). Let a = 200 + m. Sort 4, -5, a, -2. -5, -2, a, 4 Suppose -25 = 5*k - 0*k. Suppose -39*v + 24 = -33*v. Suppose -d + 11 = -4*y, -3*y - 96 = -v*d - 0*d. Sort 0, 4, k, d. k, 0, 4, d Let f(t) = -43*t - 6. Let l be f(2). Let y = l + 93. Suppose 0 = 4*u - 7*z + 2*z + 8, -3*u = 5*z - 29. Sort -1, u, -4, y in ascending order. -4, -1, y, u Suppose -5*z + 0*z + q + 257 = 0, -4 = 2*q. Let m = -56 + z. Let l be (-30)/(-4)*16/24. Sort -1, l, m. m, -1, l Let u = -2.975 + -610.825. Let f = -614 - u. Sort 4/9, f, -0.4, -4 in descending order. 4/9, f, -0.4, -4 Suppose -369 + 718 = 15*i + 394. Let f be -3 + 2 + -2 + 1. Let m be (2 - f) + (3 - 3). Put -1, m, 3, i in increasing order. i, -1, 3, m Let a = 327.16 - 328. Let b = 1.54 + a. Sort b, -1/4, -0.2 in decreasing order. b, -0.2, -1/4 Let x = 19 - 135/7. Let q = 10.09 + -6.92. Let a = 0.17 - q. Sort 2/11, 2, a, x in ascending order. a, x, 2/11, 2 Let p = 6556/261 + -722/29. Sort -70, 0, p, 6. -70, 0, p, 6 Let f be (6/30)/(4/100). Let j be 34/(-9) + 8/(-36). Sort f, -8, j, 2 in increasing order. -8, j, 2, f Let g(a) = 2*a**2 - 8*a**2 - 2*a**2 - a**3 + a + 10. Suppose -4*l + 4*c = 14 - 2, 5*l + 2*c + 50 = 0. Let m be g(l). Put -10, m, -4 in ascending order. -10, -4, m Let z be (-26019)/(-84) - (-5)/4 - -3. Let t = -317 + z. Put 4, t, 3, 0 in increasing order. t, 0, 3, 4 Suppose 0 = -27*m - 7*m. Let x be m - (-1 + 2)*(4 + 0). Sort -3, x, -26 in descending order. -3, x, -26 Let a = 44.08 - 0.08. Let f = 154.85 + -154.55. Put 3/4, a, 0.4, f in descending order. a, 3/4, 0.4, f Let t = 2.98675 - -0.01325. Sort 0, 5, t, -319 in increasing order. -319, 0, t, 5 Let c = 28 - 24. Let u be (-2)/6*(192/(-12) + 1). Put c, u, -87 in decreasing order. u, c, -87 Suppose -5*m + 4*x - 3*x = -5976928, 3*m - 3586164 = -3*x. Let t = m - 1126053781/942. Let s = 2/157 + t. Put s, -0.1, -0.5 in ascending order. -0.5, s, -0.1 Let c(f) be the third derivative of -5/24*f**4 - 7*f**2 - 29/6*f**3 + 0 + 0*f. Let m be c(-7). Put -4, -3, m in decreasing order. m, -3, -4 Let r = -6001 - -6003. Put r, 90, -4 in ascending order. -4, r, 90 Let n(s) = 10*s - 147. Let y be n(15). Put y, 43, -33 in descending order. 43, y, -33 Let k = -164 - -134.4. Let m = 24.6 + k. Sort 2, -2, 1/6, m in increasing order. m, -2, 1/6, 2 Let i = 2.92 - -780.08. Let w = i + -787. Sort w, -3, -0.136 in descending order. -0.136, -3, w Let w(q) = -123*q - 3445. Let p be w(-28). Sort 0, -64, p, -3, -2 in ascending order. -64, -3, -2, p, 0 Let y be ((4 - 0) + -61)*1. Let x be (-10)/6 + (-19)/y. Put 2, x, -4 in increasing order. -4, x, 2 Let h = 2.68 + -2.38. Put 7, h, 0.2, 5, 1 in increasing order. 0.2, h, 1, 5, 7 Let m be 3 + (-18)/(-54)*(-24)/(-2). Suppose 2 = 6*w - m*w + v, 2*w + 5*v - 3 = 0. Let n = 0.14 + -0.04. Sort 1/16, n, w in decreasing order. n, 1/16, w Let o = 0.1 - 0.5. Let r = -3.4 - o. Let x = 1121 - 1116. Sort -0.05, r, 0, x in ascending order. r, -0.05, 0, x Let z = -12 - -11.6. Let j = 1089 + -1090. Let n = -617/8 + 77. Put -0.5, z, j, n in increasing order. j, -0.5, z, n Let k be 13/11544*74 + 535/60 + -3 + 1. Suppose d = -0*d + 4. Put 6, k, 5, d in decreasing order. k, 6, 5, d Let a be (-6)/(-9) + 290/15. Let b be a/80*(-4)/(-5). Put 0, -13, b in increasing order. -13, 0, b Let r = -146 - -145. Let a be 160/77 - (r + 21)/10. Sort 3, 0, a. 0, a, 3 Let c(p) = -p**3 - 28*p**2 - 33*p - 157. Let v be c(-27). Suppose 0 = -2*w - v*w - w. Sort 2, w, 153, -5. -5, w, 2, 153 Let s = 816/5 - 164. Let l = 0.053255 + 0.146745. Sort l, 1/6, s, 2/7 in decreasing order. 2/7, l, 1/6, s Suppose -5*v + 3*p = -10, -6*p = -3*v - 4*p + 6. Suppose 5*t = -2*u + 23 + 5, 0 = -v*t - 4*u + 24. Put 5, t, 1, -4 in descending order. 5, t, 1, -4 Suppose 2*f = h + 7, -5*h + 3 = -f - 16. Let c be (4 - f - -2)/1. Suppose -4*x - 20 = -c*x. Sort x, -1, 1 in decreasing order. 1, -1, x Let l(h) = 4*h - 2. Let s be l(3). Suppose 0 = -53*p + 58*p. Let n = 4 - 8. Put p, s, n, -3 in descending order. s, p, -3, n Let v be (-99)/9 + 5 - (-9 - -2). Put v, -43, -2, 0, -5 in decreasing order. v, 0, -2, -5, -43 Let y be (-3)/(-3 + 18/8). Suppose -13 = -y*b + 3*f, 2*f = -f + 3. Let s be b/(-6) + (-52)/(-42). Put 0.1, -0.4, s in descending order. s, 0.1, -0.4 Suppose 19 - 9 = 2*w. Let q(s) = 263*s**2 + s**3 + 3 - 8*s - 7 - 258*s**2. Let v be q(-6). Put v, w, 2 in descending order. v, w, 2 Let c(b) = 731*b + 1465. Let i be c(-2). Suppose 0 = r - 1 - 2. Suppose r*o = -2*o - 15. Sort o, -1, 4, i in descending order. 4, i, -1, o Let f = -453 + 458. Let x = 0.17 + -0.37. Put f, -11, x, -0.4 in decreasing order. f, x, -0.4, -11 Let v = 0.504 + -5.504. Put -1, 34/7, 3, v, 5 in descending order. 5, 34/7, 3, -1, v Suppose -17*y = 56*y - 219. Sort 15, 11, y, -2 in decreasing order. 15, 11, y, -2 Let n = 39.4 + -59. Let l = -15.6 - n. Sort l, -2/15, -8, 4/9 in descending order. l, 4/9, -2/15, -8 Suppose -107*f + 46*f = 0. Sort f, -5, -21, -4, -2 in ascending order. -21, -5, -4, -2, f Let r(x) = x**2 - 11*x + 33. Let d be r(6). Let v = -1994 - -1990. Sort 2, d, v, 0.4 in increasing order. v, 0.4, 2, d Let o = 59/160 - -1/160. Let z = -0.29 + 14.29. Let k = 13.4 - z. Sort 5, o, -5, k in decreasing order. 5, o, k, -5 Let h(y
{ "pile_set_name": "DM Mathematics" }
mplify -1*(-2 + sqrt(1900) + -1)**2. -1909 + 60*sqrt(19) Simplify (-4 + (sqrt(567) + sqrt(7) - sqrt(7)))*-6. -54*sqrt(7) + 24 Simplify sqrt(38)/sqrt(2) + -1 + sqrt(19) + sqrt(1539) + -1. -2 + 11*sqrt(19) Simplify sqrt(20)/(sqrt(4) - ((sqrt(8)*-1)/sqrt(2) - sqrt(4))). sqrt(5)/3 Simplify sqrt(170)/(sqrt(40)/sqrt(4)) - sqrt(136)/(-2*sqrt(8)). 3*sqrt(17)/2 Simplify (sqrt(7) + 1 + sqrt(7)*-1 + sqrt(7))*6 + -5. 1 + 6*sqrt(7) Simplify (sqrt(34)/(-2*sqrt(162)))**2. 17/324 Simplify (-6*-2*sqrt(84))/(sqrt(72)/(1*sqrt(6))). 12*sqrt(7) Simplify ((sqrt(208) + sqrt(208) + -1 + sqrt(208))*6)**2. -864*sqrt(13) + 67428 Simplify -2*(sqrt(147) + 5 + -3). -14*sqrt(3) - 4 Simplify sqrt(72)*-2 + 2. -12*sqrt(2) + 2 Simplify (-4 + -4*(sqrt(425) + 0) + sqrt(425))**2. 120*sqrt(17) + 3841 Simplify 3*sqrt(45) + sqrt(5)*1 + -2. -2 + 10*sqrt(5) Simplify (-1*sqrt(171))/sqrt(9) + ((sqrt(114)/sqrt(2))/sqrt(3))**2. -sqrt(19) + 19 Simplify ((sqrt(880) + sqrt(55))*-6)/(-3*sqrt(539)). 10*sqrt(5)/7 Simplify -1 + (sqrt(5) + sqrt(20)/sqrt(4))**2*4*5. 399 Simplify sqrt(44)*3 - (sqrt(44) + 2)**2. -48 - 2*sqrt(11) Simplify (sqrt(1377) + 0 + sqrt(17) + -5*(2 + sqrt(17)))**2*6. -600*sqrt(17) + 3150 Simplify (1*sqrt(30))/sqrt(10) + sqrt(48)*1. 5*sqrt(3) Simplify -4 + sqrt(468). -4 + 6*sqrt(13) Simplify (sqrt(363) - (sqrt(363) + -1*sqrt(363) + 0) - -3*(1 + sqrt(363)))**2 + 0. 264*sqrt(3) + 5817 Simplify sqrt(21)/sqrt(448) - (sqrt(192) + -1). -63*sqrt(3)/8 + 1 Simplify (-4*(sqrt(264)/(sqrt(8) + sqrt(24)/sqrt(3)))/(sqrt(1584) - (sqrt(1584)*-2 - sqrt(1584))))**2. 1/192 Simplify (-6*(-3 + sqrt(44)/sqrt(4) - (sqrt(33)/sqrt(3) + 5)))**2. 2304 Simplify (4 + (sqrt(176) - (sqrt(176) + sqrt(176) + -2 + 1)))**2. -40*sqrt(11) + 201 Simplify (sqrt(13)*-3 + 2)**2 - (sqrt(91)/(sqrt(7)*-3))**2. -12*sqrt(13) + 1076/9 Simplify (sqrt(21)/sqrt(3) - sqrt(7))**2 + -5 + -1. -6 Simplify -3*(-4 + sqrt(68)). -6*sqrt(17) + 12 Simplify (sqrt(68)*2)**2 - -2*sqrt(833). 14*sqrt(17) + 272 Simplify -4 + sqrt(14)/sqrt(2) + sqrt(7) + -5*(-1 + sqrt(7) - sqrt(7)). 1 + 2*sqrt(7) Simplify (sqrt(2) - (sqrt(242) - (-3 + sqrt(242))))**2*-3. -33 + 18*sqrt(2) Simplify (sqrt(245)*4)**2 + 0 + sqrt(5) + -3 + sqrt(5). 2*sqrt(5) + 3917 Simplify (0 + sqrt(847))*-3 + 0. -33*sqrt(7) Simplify (sqrt(136)/(sqrt(40)/sqrt(5)) + 4)**2. 8*sqrt(17) + 33 Simplify ((sqrt(5) - sqrt(10)/sqrt(2))*2 + 4)**2. 16 Simplify (1*sqrt(117)*-5)/sqrt(9). -5*sqrt(13) Simplify (sqrt(500)/sqrt(90))/((sqrt(110)*1 - sqrt(110))/sqrt(11) - sqrt(10)). -sqrt(5)/3 Simplify (1*sqrt(170))/sqrt(10) + -3. -3 + sqrt(17) Simplify (0 + sqrt(76) - sqrt(19)) + -4*sqrt(76). -7*sqrt(19) Simplify -3*(-5 + (-1 + sqrt(5))**2)*6. -18 + 36*sqrt(5) Simplify ((sqrt(475) - (sqrt(475) + 0)**2 - sqrt(475)) + (sqrt(19) - (sqrt(1539) + 0 + sqrt(1539))**2))*-6. -6*sqrt(19) + 39786 Simplify sqrt(170)/sqrt(90) - (sqrt(136) - 3*sqrt(136))/sqrt(8). 7*sqrt(17)/3 Simplify (sqrt(85) - (sqrt(85) - ((-6*(sqrt(85)*1 - sqrt(85)) + sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85))))/sqrt(5). 2*sqrt(17) Simplify (-1*sqrt(130)*-3)/(2*sqrt(1440)). sqrt(13)/8 Simplify (1*sqrt(11)*2 - (sqrt(176) - -3*sqrt(176)))**2. 2156 Simplify sqrt(200) + -2 + 0. -2 + 10*sqrt(2) Simplify ((sqrt(1700) - (-2 + sqrt(1700)*1 + sqrt(1700)))*6)**2. -1440*sqrt(17) + 61344 Simplify (sqrt(3) + -2)**2*6 + -3. -24*sqrt(3) + 39 Simplify -6*((0 + sqrt(80) - sqrt(80))*-3 - sqrt(80) - sqrt(80) - (-2 + sqrt(80)*-2))**2. -24 Simplify ((1*sqrt(1210) - sqrt(10))/(sqrt(32)*-6))**2. 125/144 Simplify ((sqrt(88)*-1*-2)/sqrt(8))**2. 44 Simplify ((sqrt(21) + sqrt(21)*-3)/sqrt(3) - (4 + 1*sqrt(7)))*2. -6*sqrt(7) - 8 Simplify (-4*(sqrt(1900) + -1 + sqrt(1900) + 2))**2. 640*sqrt(19) + 121616 Simplify 1 + (sqrt(208)*-1 - sqrt(208))**2. 833 Simplify sqrt(187)/(sqrt(1100)*-2). -sqrt(17)/20 Simplify 2*((sqrt(190)*2 + sqrt(190) + sqrt(190))*5)/(sqrt(10) + (-2*sqrt(250) - sqrt(250))). -20*sqrt(19)/7 Simplify -1*6*(sqrt(686) - sqrt(686)*-2)/sqrt(2). -126*sqrt(7) Simplify (3*(sqrt(125) - (sqrt(125)*2 + 5)))**2. 450*sqrt(5) + 1350 Simplify (3*(2 + 4 + sqrt(5)))**2. 108*sqrt(5) + 369 Simplify (sqrt(112)*-2 + -1)*-6. 6 + 48*sqrt(7) Simplify 3 + -4*sqrt(112) - ((sqrt(14)/sqrt(2) - sqrt(7))**2 + 5 - (1 + sqrt(252))**2). -4*sqrt(7) + 251 Simplify 6*(((sqrt(14) - 2*sqrt(14)) + sqrt(14))/sqrt(2) - (sqrt(7) + sqrt(28)*3)). -42*sqrt(7) Simplify (4 + -2*(1 + sqrt(98))**2)*-1. 28*sqrt(2) + 194 Simplify (sqrt(272) + 0)**2 + ((sqrt(850) - sqrt(34))/sqrt(2) - sqrt(17)). 3*sqrt(17) + 272 Simplify 3*sqrt(252) + sqrt(35)/((sqrt(5) - sqrt(80))*3). 161*sqrt(7)/9 Simplify -1*(-1*sqrt(272))**2. -272 Simplify sqrt(3)*-2 + 5 - (1 + sqrt(30)/sqrt(10)). -3*sqrt(3) + 4 Simplify (-1*2*sqrt(2057)*-2*-3)**2. 296208 Simplify -3*((sqrt(39)*-1)/sqrt(3) + (-4*sqrt(208) + sqrt(13))**2). -8775 + 3*sqrt(13) Simplify (2*(sqrt(1300) + -1))**2 - (sqrt(1300)*1 + 4). -90*sqrt(13) + 5200 Simplify ((sqrt(121) - (sqrt(121) + (sqrt(121) - (sqrt(121) + 6*sqrt(121)*1))))/sqrt(11) + (1*-2*sqrt(704) - sqrt(704)))**2. 3564 Simplify -3*((sqrt(363) + -1)**2 + -3). -1083 + 66*sqrt(3) Simplify (((sqrt(80) - 2*sqrt(80))/sqrt(8))/sqrt(2))**2*-5 + 1. -24 Simplify (sqrt(70) + sqrt(70) + 1*sqrt(70) + sqrt(70))/sqrt(10) + (-2*sqrt(112) - sqrt(7)). -5*sqrt(7) Simplify ((sqrt(88)*-2)/sqrt(2))**2. 176 Simplify (sqrt(150)/sqrt(24))/sqrt(5). sqrt(5)/2 Simplify (sqrt(198)*2)/sqrt(11). 6*sqrt(2) Simplify 4 + ((2*sqrt(17) + 0)**2 - (0 + -1*sqrt(17))**2). 55 Simplify (sqrt(304) - (2 + sqrt(304)))*4. -8 Simplify (3*(2 + sqrt(11)) + -2 + sqrt(176))**2. 56*sqrt(11) + 555 Simplify ((sqrt(1620)*-6 + sqrt(1620))/sqrt(4))**2 + -5. 10120 Simplify 2 + ((sqrt(1584)*-2 + sqrt(1584))**2 - sqrt(11)) + -5 + -5. -sqrt(11) + 1576 Simplify (-1 + -2*sqrt(567) + sqrt(7)*-2*4)**2. 52*sqrt(7) + 4733 Simplify -2*(sqrt(171) + 2). -6*sqrt(19) - 4 Simplify 5*2*sqrt(2057). 110*sqrt(17) Simplify -5*(sqrt(20)/sqrt(4) - sqrt(5))*-3. 0 Simplify -1 + ((sqrt(272) - (sqrt(272) + 0)) + 2 - sqrt(272)). -4*sqrt(17) + 1 Simplify (1*(sqrt(102) + -5*sqrt(102) + sqrt(102)))/sqrt(6)*-5. 15*sqrt(17) Simplify sqrt(76)/(sqrt(576)*-1). -sqrt(19)/12 Simplify ((sqrt(68) - (sqrt(68) - sqrt(68)*2))*-4)/(4*sqrt(4)*-2). sqrt(17) Simplify (5 + -1 + sqrt(891))**2 - (sqrt(440)/sqrt(40))**2. 72*sqrt(11) + 896 Simplify -4 + (2 + sqrt(567))*-5. -45*sqrt(7) - 14 Simplify (sqrt(33) - sqrt(99)/(sqrt(12)/sqrt(4)))/sqrt(3). 0 Simplify sqrt(9)/sqrt(3) + -1 + (-1 + sqrt(3))*-6 + sqrt(3). -4*sqrt(3) + 5 Simplify ((4*(sqrt(11) + (sqrt(11) - (sqrt(11) + (2 + sqrt(11) - sqrt(11))))) - ((sqrt(275) - sqrt(11)) + 1))*-1)**2. 81 Simplify (5*-4*(1 + sqrt(245)))**2. 5600*sqrt(5) + 98400 Simplify 2*sqrt(2448) + 0. 24*sqrt(17) Simplify -1 + sqrt(10)/sqrt(2) + -5. -6 + sqrt(5) Simplify sqrt(77)/(4*sqrt(7)) + (1*sqrt(66))/sqrt(6). 5*sqrt(11)/4 Simplify -1 + sqrt(44) + 3. 2 + 2*sqrt(11) Simplify 5 + sqrt(7) + sqrt(14)/sqrt(2) - (sqrt(175)*-2)**2. -695 + 2*sqrt(7) Simplify 4*(sqrt(208) - (4 + 0 + sqrt(208)) - (0 + sqrt(208))*-4)**2. -512*sqrt(13) + 13376 Simplify (-1 + sqrt(11))*3 + (sqrt(176)*2 - sqrt(176)). -3 + 7*sqrt(11) Simplify (-2*2*sqrt(833)*4)**2. 213248 Simplify ((1 + sqrt(272))*5)**2 - (sqrt(68) + sqrt(68)*1 + -1 - sqrt(68) - sqrt(68))**2. 200*sqrt(17) + 6824 Simplify (5 + -5*(sqrt(425) + -1*sqrt(425)))**2. 25 Simplify -1 + sqrt(242) + (sqrt(242) - (sqrt(242) + 1)). -2 + 11*sqrt(2) Simplify (4*-3*sqrt(19))**2 + (3 + sqrt(304))**2. 24*sqrt(19) + 3049 Simplify sqrt(66)/(sqrt(384) - -3*sqrt(384)). sqrt(11)/32 Simplify (3 + sqrt(684) + 3)**2 + 4*(-1*sqrt(684) + sqrt(684)). 72*sqrt(19) + 720 Simplify (sqrt(68)/(-1*sqrt(2)))/(-4*sqrt(50) - sqrt(2)). sqrt(17)/21 Simplify ((-1*(-1*sqrt(133) + sqrt(133)) + sqrt(133))/sqrt(7) + -1)**2. -2*sqrt(19) + 20 Simplify (sqrt(32)/(sqrt(4)*1 + sqrt(4)))**2. 2 Simplify sqrt(342)/sqrt(2) - (sqrt(133)/(sqrt(42)/sqrt(6)) - sqrt(19)). 3*sqrt(19) Simplify 0 + (sqrt(405) + sqrt(405) + (-3*sqrt(405) - sqrt(405)))**2. 1620 Simplify (sqrt(19) - (sqrt(684) + 3)) + 5. -5*sqrt(19) + 2 Simplify (sqrt(12)*-1 + (sqrt(3) + -2 + sqrt(3) + 3 - sqrt(3)) + -1)**2. 3 Simplify -1*-4*(4 + sqrt(19) + sqrt(19))**2. 64*sqrt(19) + 368 Simplify -4 + (sqrt(15) + (1*sqrt(1215) - sqrt(1215)) + sqrt(1215))/sqrt(5). -4 + 10*sqrt(3) Simplify sqrt(4)/(-1*sqrt(2)) + sqrt(72) + 5. 5 + 5*sqrt(2) Simplify sq
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from kkjuukkcukjjajjkjkj. Give prob of sequence cku. 7/1938 What is prob of sequence ffjf when four letters picked without replacement from {j: 2, f: 16}? 14/153 Three letters picked without replacement from ddvbdvvdvddsdkk. Give prob of sequence kds. 1/195 Calculate prob of sequence jjj when three letters picked without replacement from {j: 5}. 1 Two letters picked without replacement from yvydodgdordggyo. What is prob of sequence rd? 2/105 Two letters picked without replacement from {f: 1, z: 1, i: 4, c: 2}. What is prob of sequence if? 1/14 Calculate prob of sequence dwdw when four letters picked without replacement from ddwwdtdtdtdt. 1/198 Two letters picked without replacement from mnnrreqes. Give prob of sequence mr. 1/36 Two letters picked without replacement from {p: 5, k: 2, w: 11, n: 1}. What is prob of sequence nk? 1/171 Four letters picked without replacement from {n: 4, l: 6, d: 7}. What is prob of sequence nlll? 1/119 Calculate prob of sequence ssss when four letters picked without replacement from {a: 5, s: 8}. 14/143 What is prob of sequence ca when two letters picked without replacement from {w: 2, t: 1, a: 1, b: 4, l: 3, c: 1}? 1/132 Four letters picked without replacement from {q: 14, c: 2, a: 1}. Give prob of sequence qccq. 13/2040 Two letters picked without replacement from {t: 1, f: 6, s: 1, y: 3, n: 3}. What is prob of sequence ty? 3/182 Two letters picked without replacement from {e: 1, v: 1, n: 1, y: 2, d: 4}. What is prob of sequence dd? 1/6 What is prob of sequence ppy when three letters picked without replacement from {p: 4, k: 1, f: 2, g: 2, y: 1}? 1/60 Calculate prob of sequence tt when two letters picked without replacement from wwttwwt. 1/7 What is prob of sequence pf when two letters picked without replacement from pkzpfzkkkp? 1/30 What is prob of sequence jj when two letters picked without replacement from jqj? 1/3 Calculate prob of sequence dqd when three letters picked without replacement from {p: 1, q: 3, d: 8, b: 1, c: 1, y: 2}. 1/20 What is prob of sequence kkff when four letters picked without replacement from kkkkkooookkffkokko? 1/408 Four letters picked without replacement from ccnhhncccn. Give prob of sequence hnnc. 1/84 Two letters picked without replacement from {p: 1, o: 1, y: 5, r: 4}. Give prob of sequence ry. 2/11 Calculate prob of sequence hm when two letters picked without replacement from {h: 1, l: 8, m: 1, g: 8, n: 1}. 1/342 Two letters picked without replacement from acafcacwcfaccactc. What is prob of sequence af? 5/136 What is prob of sequence rs when two letters picked without replacement from rsoorrrovrssvrrrrr? 5/51 Four letters picked without replacement from dyddzwdddzdsswwdwwkw. Give prob of sequence swkw. 1/1938 Three letters picked without replacement from qoopcsvp. What is prob of sequence vqo? 1/168 Two letters picked without replacement from {c: 2, q: 1, w: 1, a: 1, g: 1, k: 1}. Give prob of sequence kw. 1/42 Two letters picked without replacement from joosisssj. Give prob of sequence oo. 1/36 Three letters picked without replacement from {m: 2, d: 5, j: 4, y: 1, z: 1, t: 2}. Give prob of sequence zmd. 1/273 Two letters picked without replacement from rbc. Give prob of sequence rc. 1/6 Four letters picked without replacement from gksgssgkggskgg. Give prob of sequence kkks. 1/1001 Calculate prob of sequence pqqp when four letters picked without replacement from rrrqrqqpp. 1/252 What is prob of sequence ml when two letters picked without replacement from {m: 1, s: 2, g: 9, l: 7}? 7/342 Calculate prob of sequence llc when three letters picked without replacement from wlwywclllvjvjy. 1/182 Three letters picked without replacement from qqiuigliqnil. Give prob of sequence iql. 1/55 Four letters picked without replacement from {v: 1, j: 3, b: 8, d: 3, g: 4}. What is prob of sequence jjgb? 2/969 Calculate prob of sequence mggk when four letters picked without replacement from {m: 2, g: 4, k: 1, e: 2}. 1/126 Three letters picked without replacement from {s: 9}. Give prob of sequence sss. 1 Two letters picked without replacement from {v: 2, t: 2, i: 7, f: 1, b: 1, n: 2}. Give prob of sequence fb. 1/210 Three letters picked without replacement from fhhefzedhzhf. Give prob of sequence dhh. 1/110 Three letters picked without replacement from {h: 5, p: 5}. What is prob of sequence ppp? 1/12 What is prob of sequence oo when two letters picked without replacement from {e: 6, k: 2, o: 4}? 1/11 Four letters picked without replacement from eslhliilyeiy. What is prob of sequence eyii? 1/495 Two letters picked without replacement from {z: 4, x: 2, o: 3}. Give prob of sequence xz. 1/9 Three letters picked without replacement from {l: 2, i: 1, z: 3, v: 4, g: 4}. Give prob of sequence lvv. 1/91 What is prob of sequence fo when two letters picked without replacement from fofo? 1/3 Two letters picked without replacement from {x: 4, h: 14}. What is prob of sequence hh? 91/153 Three letters picked without replacement from {i: 6, u: 13}. What is prob of sequence iui? 65/969 Three letters picked without replacement from ggggggoooogggaio. What is prob of sequence agi? 3/1120 Calculate prob of sequence ppp when three letters picked without replacement from qpvoopvnvvvnovop. 1/560 What is prob of sequence df when two letters picked without replacement from ddfddvfdvvvfvfvfdff? 7/57 Three letters picked without replacement from yyyyyyy. Give prob of sequence yyy. 1 Four letters picked without replacement from {a: 7, s: 9}. What is prob of sequence aaas? 9/208 Calculate prob of sequence swxs when four letters picked without replacement from {w: 8, x: 6, s: 3}. 3/595 What is prob of sequence zbll when four letters picked without replacement from {b: 9, z: 2, l: 3, o: 2, x: 1}? 9/4760 Four letters picked without replacement from qygyppvvqyqyyqqyqy. Give prob of sequence qvvg. 1/6120 Two letters picked without replacement from {s: 5, j: 1, l: 1, k: 3, n: 3}. Give prob of sequence nl. 1/52 Three letters picked without replacement from {y: 5, g: 8, x: 2}. Give prob of sequence xgy. 8/273 Calculate prob of sequence zec when three letters picked without replacement from {x: 1, z: 1, c: 3, q: 2, e: 10}. 1/136 Calculate prob of sequence mmm when three letters picked without replacement from mxitiot. 0 Four letters picked without replacement from {s: 1, y: 2, p: 1, c: 1, m: 1, x: 1}. Give prob of sequence mcys. 1/420 What is prob of sequence os when two letters picked without replacement from smo? 1/6 What is prob of sequence aa when two letters picked without replacement from {a: 2, x: 6}? 1/28 Four letters picked without replacement from xppxpppxxpppxxxpxxxp. Give prob of sequence xxpp. 45/646 Calculate prob of sequence gv when two letters picked without replacement from xvvvvgxuvx. 1/18 Three letters picked without replacement from {s: 4, l: 3, r: 6}. Give prob of sequence sll. 2/143 What is prob of sequence hfff when four letters picked without replacement from hhfsfhffhffhffffffh? 55/646 What is prob of sequence xb when two letters picked without replacement from {b: 1, x: 3}? 1/4 Four letters picked without replacement from {r: 7, q: 6}. Give prob of sequence rrqr. 21/286 Calculate prob of sequence otr when three letters picked without replacement from {n: 1, u: 1, t: 2, g: 1, r: 1, o: 1}. 1/105 Calculate prob of sequence sp when two letters picked without replacement from swzpzkb. 1/42 Calculate prob of sequence ejj when three letters picked without replacement from {p: 1, z: 1, e: 5, j: 5, x: 4}. 5/168 Two letters picked without replacement from {m: 1, p: 14}. Give prob of sequence mp. 1/15 Two letters picked without replacement from {q: 4, k: 3, i: 1}. Give prob of sequence ik. 3/56 What is prob of sequence zztt when four letters picked without replacement from zzttzqzt? 3/70 What is prob of sequence cr when two letters picked without replacement from {g: 2, a: 2, x: 1, j: 2, r: 1, c: 5}? 5/156 What is prob of sequence mb when two letters picked without replacement from nncumuncnmmncbncbb? 1/34 Three letters picked without replacement from {i: 8, f: 5}. Give prob of sequence fii. 70/429 What is prob of sequence qf when two letters picked without replacement from ksffqtq? 2/21
{ "pile_set_name": "DM Mathematics" }
4.6811. What is the closest to z in 67, -0.3, -0.2? -0.2 Let o be (-5)/2*(-2042)/(-5). Let i = o - -7145/7. Let d(l) = l**2 - 6*l + 5. Let r be d(4). Which is the nearest to i? (a) r (b) 0 (c) -0.7 b Let j be (6/(-18))/(6/9). Let t be (-4)/(500/(-60) + 1*7). Which is the closest to -2? (a) t (b) 2 (c) j (d) -0.4 c Let c be (-1)/14*6*1. Let b = 76 + -74. Let p = -491.2 + 491. What is the closest to -8 in b, c, p? c Let y = 91 - 101. Let r = 117 - y. Let x = 128 - r. What is the nearest to x in -0.3, 9, 0.2? 0.2 Let z = -4 - 0. Let c = 16.3 - 21.3. What is the nearest to 3 in c, 0.5, z? 0.5 Let f = 184.3 - 196.3. What is the closest to -2/5 in f, -1, 4/3? -1 Let m = -4618 + 4614. What is the closest to 0.4 in m, -0.4, 6, 4? -0.4 Let i = -0.2461 - -0.0461. What is the closest to 1 in 1/9, 1, i, 1/392? 1 Let v be 4*18/405*-9*10/(-4). Which is the closest to 7? (a) 3 (b) 4/67 (c) v c Let x be 1/(-2) - (1 + 40/(-48)). Let k = -96 + 50. Let n = -43 - k. What is the nearest to -0.1 in x, n, -2/7? -2/7 Let v be 5/10 + 93/(-27) - -3. Let y = v - -49/90. What is the nearest to 0.1 in 1, 1/6, y? 1/6 Suppose -50*q - 29 = 2*a - 55*q, 2*q = -2*a + 20. What is the closest to a in -2, -1/4, 3/4, -55? 3/4 Let w be 4/(-26) - (-2)/(156/51). Let a be (1 - (-1 + 7)) + (-1 - -1). Let k = -4 - -6. What is the nearest to w in k, -0.3, a? -0.3 Let z = -3/334 + -605/7014. Which is the nearest to -13/4? (a) 0 (b) -0.5 (c) z b Let f = 170856 + -170858. Let q = 2/199 - 211/1194. Which is the nearest to f? (a) 0.03 (b) q (c) -5 b Let o(u) = u**2 - 5*u + 71. Let f be o(19). Let m = 4383/13 - f. Which is the closest to 10? (a) m (b) 1/4 (c) 0.3 c Let k = 2911 - 2906. Let m = -130 + 259/2. What is the nearest to 5 in m, -0.2, k? k Let f = -3.93 - 0.07. Let r = -146461 - -146461.2. What is the closest to r in -2, f, -0.001? -0.001 Suppose 0 = 239*m - 250*m - 22. Let y = 0.9 + -0.5. Let q = 14.2 + -14. What is the closest to -3 in q, m, y? m Let l = 0.2827 - 0.3827. Which is the closest to l? (a) 1/3 (b) -0.22 (c) 0.5 (d) -6 b Let y = -5 + -4. Suppose 196 = -5*o + 101 + 100. Which is the nearest to o? (a) 3 (b) 0.1 (c) y b Let w be 162/576*((-10)/(-3) - 2). Which is the closest to w? (a) 2 (b) -7 (c) 4 a Suppose z - 3 = 2. Let w = -2014 - -2014. What is the closest to -17 in z, w, -4? -4 Let z be (-15)/(-18) - 2/12*4. Let l = 0.4 - -2.6. Let f = 12.2 + -12.4. Which is the nearest to z? (a) l (b) f (c) -5 b Let d = 0.07 + -1.07. Let g = -6.3 + 1.3. Let o = 2348/3 - 100970/129. Which is the nearest to d? (a) o (b) g (c) -3 a Let b = -2894.93 + 2895. What is the nearest to -1 in -2/3, b, -5, -0.08? -2/3 Suppose 0 = 222*c - 191*c + 124. Suppose n = 3*n - 6. Suppose 0 = n*m - 4 - 26. What is the closest to 0.1 in -0.4, m, c? -0.4 Let m(u) = 0 - 1 - 1 - 6*u + 4*u. Let f be m(-4). Suppose 0 = -f*j + 12*j - 30. What is the closest to -1 in j, 2, -3? -3 Let t = -0.147 - -0.077. Let p = 6/59 - -11/472. Which is the closest to t? (a) p (b) 9 (c) 0.1 c Let k = -234156 + 234151. Let f = 2/25 + 11/175. Let p = 9/14 - f. What is the closest to p in -1/5, 36, k? -1/5 Let h = -0.25 - -0.25. Let v = 56.2 - 54.2. Let q = -6 + 3. What is the closest to v in h, -0.1, q? h Suppose 5*y - y - 16 = 0. Let k be (2 - -21*3/(-27)) + 0. Let h = -1.99 - 1.01. Which is the closest to k? (a) -4 (b) y (c) h c Let s = -114 + 113.99. Let g = 23.57 + -23.27. Which is the nearest to s? (a) 0.5 (b) -2 (c) g c Let n = -35 - -47. Let t be 0 + -2 + 60/n. Let w be t/(-7) - 138/(-28). Which is the closest to w? (a) -4 (b) -5 (c) -0.5 c Let i = -179.7 + 175.985. Let x = i - -0.84. Let o = x - 0.125. What is the closest to 2 in -0.5, o, 9? -0.5 Let a = 38694 - 38694.3. What is the nearest to -37 in 3, a, -2/3, -2/17? -2/3 Let f = 25566 - 25563. Which is the closest to f? (a) -0.4 (b) -31 (c) -1/3 c Let g = 15 + 0. Suppose -3 = -3*f - g. Let s = 50 + -349/7. What is the nearest to 1 in f, s, 0? s Let k = 69956 + -69955.5. Let p = -0.1 - -0.2. Let w = 11 - 16. What is the nearest to p in k, 2/17, w? 2/17 Let r be ((6/40)/(6/5))/(8/80). Which is the nearest to r? (a) -2/15 (b) -3/8 (c) -0.3 (d) 2/5 d Let u = -5.53 - -1.53. Let y be 21*(-5)/(-135) - 1. Which is the closest to y? (a) 4 (b) u (c) 1/3 c Let p = -2525 + 2525.3. Which is the closest to p? (a) 2 (b) 2/59 (c) -2/7 (d) 3 b Let n be (-56)/6 - -9 - (-8)/(-3). Let h = -14 - -13. Let q = -398/2159 - -1/127. Which is the closest to h? (a) n (b) 5 (c) q c Suppose 195*l = 215*l + 680. What is the closest to -1 in l, -0.5, 1/3? -0.5 Let h = -541 + 532.5. Let q = -8.4 - h. What is the nearest to 0.1 in q, -1/10, -1/12? q Let x be (2/(-36))/((-392)/64 - -6). Let n be (-1 - 0)/((-42)/144*-4). What is the nearest to n in -2, 0.3, x? -2 Let r(o) = -3*o + 11. Suppose 8 = -4*v, 4*v - 8 = -3*g - 49. Let l be r(g). Let k = 218/5 - l. Which is the closest to 3? (a) k (b) -1 (c) 2 c Let g = 66.9 + -66.5. Let n = -155 - -154. Which is the nearest to -3? (a) n (b) g (c) -3/7 a Let g = -313.986 - -314. Let p = 2.014 - g. Which is the nearest to -0.04? (a) p (b) -3 (c) 1/4 c Let c = 0.238 + -0.208. What is the nearest to c in -0.2, 2, 1.1, 3? -0.2 Let f = 22 - 37. Let a = 142795/499856 + 3/71408. What is the nearest to f in 0.1, a, -4? -4 Let v = -60 - -35. Let z = 32 + v. Let u be (6/(-10))/(14/10). Which is the nearest to 0? (a) u (b) z (c) 4 a Let l = 4852 + -4857. Which is the closest to -0.14? (a) -3/7 (b) l (c) -4 a Suppose 4*q = -4*q + 56. Let o(s) = s + 12. Let z be o(-10). Suppose -x + 4*l = -2*x + q, -z*l = 4*x. Which is the closest to -0.1? (a) x (b) 0.5 (c) 0 c Let d be 3/2*56/21. Let s = -244 - -259. Let h = 14.6 - s. Which is the nearest to -3/5? (a) h (b) 0.4 (c) d a Suppose 224 = -5*y + 19. Let w = -1411.2 + 1411. Which is the closest to -1/2? (a) y (b) -5 (c) w c Let r = 14 + -15. Suppose -8*o - 303 = 73. Let i = -41 - o. Which is the closest to r? (a) i (b) 4/5 (c) 5 b Let z = 5991 - 5991.2. Let d = -2257/9 + 251. What is the closest to z in -3, -0.05, d? -0.05 Let f be -2 - ((-72 - -79) + (-98)/12). Which is the nearest to -2/7? (a) -1 (b) 30.6 (c) f (d) 5 c Let f = 305/4264 + 27/328. Which is the nearest to 4? (a) f (b) 3 (c) 4/7 (d) -2/77 b Let z = -5.451 - -5.551. Which is the nearest to -2? (a) 2/5 (b) -18 (c) -2 (d) z c Let q = 2602 + -7805/3. What is the closest to 0.1 in -30/19, 3, 8, q? q Let s be -11 + (-2 - (-18)/30)*-5. What is the nearest to -0.3 in 3/4, 5, -0.3, s? -0.3 Let r be (-1 - (-64)/7)/((-20280)/1092). Let f = 1/26 + r. Which is the nearest to f? (a) 2/5 (b) -2 (c) 29 a Let b = -509.8 + 511.3. What is the closest to 0.2 in 0, b, 4? 0 Let f = -2.01 + 0.01. Let c = 199637 + -199637.3. What is the closest to -3 in c, -3, 4/3, f? -3 Let s = -83006 + 83006. Let d = 0 + 3. Which is the nearest to -4? (a) s (b) 4/9 (c) d a Let h be ((-54)/(-9))/(5 + -7). Let n = -3302/3 - -1145. Let y = -44 + n. Which is the closest to h? (a) 0.4 (b) 2/11 (c) y b Let u = -6.553 - 4.447. Which is the closest to 0.27? (a) 0.5 (b) u (c) 0.4 c Let q = -49.6 - -49.821. Let n = -1.448 - -1.427. Let j = q + n. What is the closest to j in -4, -3/5, -2.5? -3/5 Let s = -132 + 134. Let p be -1 - 195/55*s/(-6). Let t = 31 - 21. What is the closest to t in 1, 1/2, p? 1 Let h = -82 + 230. Let b = 152 - h. What is the nearest to -2/3 in b, 2, 0? 0 Let i = 1.5975 - 4.5975. What is the closest to -1 in -2/13, i, 5, 3/2? -2/13 Let h = -48.2544 - -48.3. Let p = 1.9544 + h. What is the closest to p in 1.7, 6/5, -1, 1/6? 1.7 Let o = -1497 - -1496.5. What is the nearest to 2/3 in 323, 0.2, o? 0.2 Let h = 1710 + -1811. What is the closest to 6 in -2/7, -0.1, h, 1/4? 1/4 Suppose -7*z = -3*z. Let t be (-1 + z)/(2 - 0). Let j = -10818 - -10821. Which is the closest to -0.2? (a) -1/4 (b) j (c) t a Let z = -449/548 - -78/137. Which is the closest to -0.7? (a) z (b) -19 (c) -2/7 c Let f = -21475 - -21475. Which is the nearest to -0.4? (a) 1.4 (b) -2/9 (c) f (d) 3 b Suppose 0 = -5*x + g + 35, 46*x + 2*g = 43*x + 34. What is the closest to -1 in -2, x, -14? -2 Let o be (-1 - (-22)/26)*-1. Let t be -51 - 147*(-44)/132. Let r = -0.4 - -0.1. What is the nearest to -0.05 in r, t, o
{ "pile_set_name": "DM Mathematics" }
est value in -6/5, z, -0.4, -5, 2/33? -6/5 Suppose -2*m = -2*i + 562, -3*i + 5*m - 6*m = -823. Let u = i + -1936/7. What is the smallest value in 1, 3, u? u Let u(s) = -20*s - 1620. Let r be u(-81). Which is the biggest value? (a) 1/3 (b) 3/8 (c) r (d) -1 b Let s = -5121.9 - -5122. Which is the second biggest value? (a) s (b) 34 (c) -4 (d) -6 a Let y = -220.2 - -227.2. Which is the biggest value? (a) -4 (b) 1/2 (c) 1 (d) y d Let x = -253173 + 19494753/77. Let g = x + -38/7. Which is the third smallest value? (a) -1.3 (b) g (c) -4 b Let r = 36.52 - 36.12. What is the smallest value in 10, 5/3, -1/4, r? -1/4 Let m = -4424 + 4418. Let t = 3/140 - 89/70. Which is the third biggest value? (a) t (b) 0.4 (c) m (d) -5 d Let p(j) = -j - 72. Let y(k) = k - 3. Let n(t) = p(t) - 3*y(t). Let s be n(-15). Let z = 10 - 16. What is the third biggest value in 4, s, z? z Let m = 29718 - 29717. What is the third biggest value in -21, m, -38, 0.5? -21 Let s = 26367 + -79109/3. What is the second biggest value in -22/9, 1/5, s, 1/3? 1/5 Let b = -0.76 - 304.24. Let c = b - -300. What is the third smallest value in 0, c, 1/3, -1.3? 0 Let y = 15645 + -15643. Which is the fourth smallest value? (a) 0.03 (b) y (c) 5/7 (d) 4 (e) -0.08 b Suppose 0 = i - 12 - 12. Suppose -29*w = -4*w - 175. Let n = w - i. What is the biggest value in 5, -1/5, n? 5 Let s = 5659.1 + -5659. What is the fourth smallest value in 2, 1/9, s, 3? 3 Let f = 568.43 + -13.43. Let t = -555.2 + f. Let b(k) = k. Let d be b(2). What is the third biggest value in 3, -2, d, t? t Let y = 37609 + -37609.3. What is the smallest value in 2147, 5, y? y Let k = -69 + 71. Let q be 4/(-6)*2/k. Let r = -0.1 - 0.1. Which is the third smallest value? (a) 5/4 (b) q (c) r a Suppose w - 53 + 171 = -y, 0 = -w + 5. Suppose 3*z = -g - 0 - 13, 3*g = -12. Which is the biggest value? (a) z (b) -4 (c) y a Suppose 5*z = -197 + 22. Let y = -87 + 130. Let s = y + z. Which is the fourth biggest value? (a) -1/3 (b) s (c) -5 (d) -0.5 c Let i = 0.1 + -0.1. Let n = -0.353 - -1.583. Let z = -4.23 + n. Which is the third biggest value? (a) 1/2 (b) z (c) i b Let g be 232 - ((-64)/34 - (-8)/(-68)). Let r = g + -1176/5. Which is the third smallest value? (a) 2 (b) r (c) 0.4 (d) -4 c Suppose q = -6*q - 350. Let r = q - -48. Which is the biggest value? (a) r (b) 1/4 (c) -101 b Let k = -167.3228 - 1.6772. Which is the smallest value? (a) -0.3 (b) k (c) -2 (d) -0.04 b Let k = 1052 + -4203/4. What is the third biggest value in -5/11, k, -4? -4 Let l = 0.983 + 0.017. Let f = 170 + -1872/11. What is the fourth biggest value in l, f, -1.8, -3/7? -1.8 Let g be -4 - ((-4)/(-3))/(1/(-3)). Suppose 0 = l + 21 - 97. Let z be (-2)/4*l/(-285). Which is the fourth smallest value? (a) -5 (b) g (c) 6/5 (d) z c Let j = -2.36 + 2.1. Let o = -0.35 - j. Let l(y) = y**3 - 23*y**2 - 24*y + 1. Let c be l(24). What is the smallest value in -1/4, o, c? -1/4 Let i(j) = -10*j + 57. Let n be i(5). Suppose -3*q - d = -8, n = -4*q - 3*d + 26. What is the third biggest value in q, 0.1, -1/21? -1/21 Let l = 28897/2 - 14449. Which is the third smallest value? (a) 93 (b) 10 (c) l a Let n = 0.04018 + -0.14018. What is the second smallest value in -3, 5, -2, n, -6? -3 Let p = 0.4 + -0.1. Let x = -216.44 - 3.56. Let g = 221 + x. Which is the biggest value? (a) p (b) -3/2 (c) g c Let j = 1318 - 1316. Let p be -21*(3 - (-16)/(-6)). Which is the third biggest value? (a) -4 (b) j (c) -2/9 (d) p a Let x be 2 + 9/(26/4 + -8). What is the second biggest value in x, 14, 2, 5, 1? 5 Let y = -538.9 + 539.4. What is the fourth smallest value in 658, 0, y, 5? 658 Let p = 138 - 694/5. Suppose 5*s + 11 = 36, -4*o + 3*s - 23 = 0. What is the smallest value in -0.3, 0, p, o? o Let c(j) = j**3 - 11*j**2 - 4*j - 16. Let k be c(11). Let r = 1078 - 1078. What is the second biggest value in k, -0.4, r? -0.4 Suppose -7 = 2*j - 1. Let c = -57.592 - -57.642. What is the fourth biggest value in j, 1/2, 0.1, c? j Let l = 1162.56 + 5.44. Let g = -1167.73 + l. Let z = 1 - 2. What is the third biggest value in z, 2, g? z Let b be 3/6 + (-39)/(-2). Suppose 3*n - b = -2*n. Let p be -5 + 1 + 84/22. What is the fourth smallest value in 1, p, -0.3, n? n Let y = 6789.2 - 6789. What is the fourth biggest value in -1, -0.02, -2/57, y? -1 Let j = -0.82 - -0.12. Let y = 544 + -210. Let n = 337 - y. Which is the second biggest value? (a) n (b) 4 (c) j a Let v = -34 + 33.86. Let r = v - 0.06. Suppose -23 = 3*l + 2*u, -4*u = 3*l - 0*u + 31. What is the second biggest value in r, -4, l? -4 Let n = -1167.9 - -1260. Let y = -92 + n. What is the second biggest value in -1.4, y, -0.03? -0.03 Let u = 2335 - 7019/3. What is the third biggest value in -6/5, -4, 0.1, u? -4 Let q be ((-612)/720 - (-5)/4)/(-2). What is the biggest value in -3, -4, q, -1/18, -0.9? -1/18 Let r = -0.01486 - -105.01486. What is the second smallest value in 2/11, r, -4, -0.1? -0.1 Let o = -0.5544 + 0.3544. What is the fourth biggest value in -2, 3, o, -7? -7 Let g = -26423/3 + 8807. Which is the biggest value? (a) -5 (b) -0.02 (c) g b Let l be 3 + 2 - (41 + 0). Let q be (-3)/l - ((-111)/12 + 9). Which is the second smallest value? (a) 4/9 (b) -1/6 (c) q c Let u be (638/(-231))/29*49/(-21). What is the second biggest value in 93, u, 5? 5 Suppose 0 = p + 3*y + 29, -5*p + 62*y = 57*y + 65. Which is the second smallest value? (a) -2 (b) p (c) 4/5 (d) -5 d Let d = -5/69 + -6/23. Let c be 6 + 230/(-4)*(-1 + 22/20). What is the smallest value in c, d, -5? -5 Let t = -164/43 + 734/215. What is the third biggest value in 3, 61, t? t Let d = 15.4 + 1.6. Let m = d - 17.4. Let t = 4.66 + -0.66. What is the biggest value in t, -4, 5, m? 5 Let l = 108.58 - 107.98. What is the third biggest value in 6, -1/3, 2/11, l, 0.2? 0.2 Let y = 50.71 - 46.71. Which is the third biggest value? (a) -1 (b) 95 (c) y a Let v = 0.27142 - -3.72858. What is the third smallest value in v, 0.3, -85.02? v Suppose -28*j + 27*j - 12 = 2*u, 0 = -j + 3*u + 8. Let w = 484 + -489. Which is the biggest value? (a) -1/8 (b) j (c) w (d) 15 d Let r = -13.4 - 27.6. Let d = r + 37.97. Let k = -0.03 - d. What is the smallest value in 0.17, -1, k? -1 Let o = -270 - -469. Let q = 198.7 - o. Which is the fourth smallest value? (a) q (b) 1/18 (c) -0.5 (d) -3/7 b Let o = -0.35 + 0.335. Let b = 32.985 - o. Let l = -33.3 + b. What is the smallest value in -1, 0.5, l? -1 Let r = 0.20172 - -99.79828. Let m = 0.3 + -0.3. What is the second biggest value in m, 2/5, r? 2/5 Let s = -505.8 + 505.5. What is the fourth smallest value in 9, -0.1, s, 3, 5? 5 Let i = -2946 - -2948. Let k = -17 - -11. Let q = k - -2. Which is the fourth biggest value? (a) -1/4 (b) q (c) i (d) 0 b Let j be (-2)/(-1) + -4 - -1. Let w = -34330 + 34326. What is the third smallest value in w, j, 2/3? 2/3 Let u = -136 - -545/4. Let n = -25 + 47. Let q = n - 24. What is the smallest value in q, u, 5/3? q Let x = 391.4 + -395.4. What is the third biggest value in x, 0.4, 2/15, 5, 33? 0.4 Let l = -6267 + 6271. What is the third biggest value in -9, l, -2/5, -0.026? -2/5 Suppose 24*q - 264 = 4*d + 20*q, 0 = 4*d + 2*q + 258. Which is the smallest value? (a) -2 (b) -17/13 (c) d c Let m(y) be the third derivative of y**5/60 - 13*y**4/24 + 5*y**3 - 2*y**2 + 21. Let t be m(7). Which is the smallest value? (a) 1/5 (b) 5 (c) t c Let t = 4506 + -4505.98. Which is the third biggest value? (a) -0.094 (b) t (c) -0.1 c Suppose -1306 = -10*y + 54. Let b be y/561 - (-2 + (-7)/(-3)). What is the second biggest value in -1, b, -4, -3? -1 Let r = 1499.6 + -1500. Let i be 51/18 - (-2)/12. Suppose -3 = -i*t - 6, q - 2 = 4*t. Which is the third smallest value? (a) q (b) r (c) 4/9 c Let q = 3.768 - -0.232. Let s = -109 - -83. Let f = s + 29. Which is the second smallest value? (a) f (b) 7 (c) q c Let u = -3.91 + 3.41. Let j(k) = k**3 + 3*k**2 - 3*k - 1. Let s be j(-4). Which is the fourth smallest value? (a) u (b) s (c) -0.2 (d) -11 c Let g be (-72)/22 + -214 + 220. Which is the second smallest value? (a) g (b) -0.5 (c) -0.4 (d) -76 b Let w = 0.2 + 153.4. Let r = 154 - w. Which is the second smallest value? (a) -0.03 (b) r (c) 2/15 c Let s = 13287 + -
{ "pile_set_name": "DM Mathematics" }
5 - 15)*(-11*l + 4*l**2 + 11*l). -464*l**3 Expand (-5*v + 3*v + 0*v)*(-580*v**2 + 225*v**2 + 182*v**2). 346*v**3 Expand (-53 + 17 - 26 - 10)*(12 + 14 - 6)*(5*u**3 - 2*u**3 - 2*u**3). -1440*u**3 Expand (-1 + 3*o**2 - o - 1 - o**2)*(252 + 272 + 244). 1536*o**2 - 768*o - 1536 Expand 2*f**4 + 0 + 0 + (3*f**2 + 2*f**2 + 26*f**2)*(2*f**2 + 6*f**2 - f**2). 219*f**4 Expand (-1 + 1 + 1)*(2*w - 2*w - 4*w**2) + w**2 + 29*w - 6*w + 39 - 41. -3*w**2 + 23*w - 2 Expand (-60 + 20*s + 31 + 33)*(6 - 5 + 13). 280*s + 56 Expand (-8*n + 5*n - 4*n)*((2 - 2 + 1)*(-2 + 3 + 1)*(-3*n - n + 2*n) + (-1 - 2 + 2)*(-3*n - n - n)). -7*n**2 Expand (3*d + d - 3*d)*(-24*d**2 - 2*d**3 + 24*d**2) - 39*d - 1 - 15*d**4 + 39*d + 0*d**4 + 3*d**4 - 5*d**4. -19*d**4 - 1 Expand (1 + 2 - 7)*(-5 + 5 + 4*k)*((1 - 1 - 1)*(-4 - 3 + 6) + 0 + 0 - 1 + 32 + 0 + 1). -528*k Expand 1348 - 1348 - 31*n**4 + 2*n**4 + n**3 - n**3 + (-n**2 + 4*n**2 - 5*n**2)*(-6*n**2 + 2*n**2 + 3*n**2). -27*n**4 Expand (-i**2 - 2*i**2 + i**2)*(2 + 2 - 3)*(-2 + 2 + 1)*(-16*i + 74*i + 10*i). -136*i**3 Expand 16141 - 535*h**3 - 16141 + (2*h - 6*h + 2*h)*(3*h**2 - h**2 - 4*h**2). -531*h**3 Expand -4*i - 2*i + 0*i + (3 - 3 - i)*(3 + 4 - 5). -8*i Expand (-93*q**3 + 1 + 48*q**3 + 11*q + 44*q**3 + 2*q**2)*(1 + 5 - 1). -5*q**3 + 10*q**2 + 55*q + 5 Expand (2*u - u - 9*u)*(2*u - 3*u - u) - u**2 - 2*u + 2*u + 4 + 4*u**2 - 3 - 3*u**2. 16*u**2 + 1 Expand 0*i**2 - 7*i**2 + 0*i**2 - 2*i**2 - 1 + 1 + (4 - 4 - 1)*(i**2 - i**2 + 2*i**2) - i**2 - 3*i**2 + 5*i**2. -10*i**2 Expand (-17 - 28*h + 30*h - 4)*(5*h - 2 + 2). 10*h**2 - 105*h Expand (0*f**2 - 198*f**4 - 20*f**2 + 199*f**4)*(2 - 7 - 1). -6*f**4 + 120*f**2 Expand (4*r**2 - 3*r**2 + 2*r**2)*(-4 + 7 + 23). 78*r**2 Expand (4 + 3 - 5)*(3 - l - 3)*(-494*l**4 + 1143*l**4 - 1971*l**4). 2644*l**5 Expand (49 - 19*u**2 - 49)*(-1 + 1 + u**3 + 1) - 2*u**5 + 2*u**5 + 2*u**5. -17*u**5 - 19*u**2 Expand (3*b - 3*b + b**3)*(-46*b**2 - 14*b**2 - 36*b**2) + (b - b - b)*(-2*b**4 + 5*b**4 - 2*b**4) + (-6*b + 2*b + 2*b)*(b**4 - 3*b**3 + 3*b**3). -99*b**5 Expand -2*f**2 + f - f + f - f**2 - f + f + (-2*f - 3*f + 3*f)*(-2*f - 4 + 4) + f**2 + 3*f**2 - 2*f**2 - 47 + 47 + 32*f**2. 35*f**2 + f Expand (9*h - 32*h - 10*h)*(1 - 4 + 1)*(-2 + 2 - 1) + 6 - 2 - h - 3. -67*h + 1 Expand 2*z**3 - 3*z**3 + 0*z**3 - 5*z**3 + 0*z**3 + 4*z**3 + (0*z - z - z)*(-1 - 2*z**2 + 1) - 25*z**3 - 10*z**3 + 5*z**3 - 1 + 1 + 2*z**3. -26*z**3 Expand 0*q**5 + 7*q**5 + 0*q**5 + (q**3 + 11*q**3 - q**3)*(-q**2 + 4*q**2 - 5*q**2). -15*q**5 Expand (52 + 57 - 95 - y**2)*(2*y - 2*y - 2*y). 2*y**3 - 28*y Expand (2*y + y - 4*y)*(1392*y**2 - 1392*y**2 - 2*y**3 + 97). 2*y**4 - 97*y Expand (4 - 5 + 2 + (1 - 3 + 1)*(3 - 1 - 16))*(0*y - y + 3*y)*(-3 + 2 + 0) - y - 4*y + 3*y. -32*y Expand (-1 + 1 - 2*u)*(3*u - 2*u - 2*u) + 3*u**2 + 6*u - 2*u**2 - 19 + 32. 3*u**2 + 6*u + 13 Expand (-73*f + 56*f - 45*f)*(4*f + 0*f - 3*f) + 5*f**2 - 3*f**2 - 3*f**2 + (-3 + 2 + 2)*(-f + f - 2*f**2). -65*f**2 Expand -k + 4 - 4 + 0*k + 4*k - 2*k + (2 - 3 - 1)*(0*k + 2*k + 0*k) + (0*k - 3*k + 2*k)*(16 - 6 + 14). -27*k Expand (2 - 2*d - 2)*(-d + 0*d - 3*d)*(-184 + 19*d**2 + 184). 152*d**4 Expand (-4*l - l - l)*(-2*l**2 - 3*l + 0*l + 2*l + 2). 12*l**3 + 6*l**2 - 12*l Expand (x - 2 + 2)*(-11 + 44*x**2 - 116*x**2 + 81*x**2 + 2*x). 9*x**3 + 2*x**2 - 11*x Expand -145*p - 52*p - 164*p + (-p + 6*p - p)*(2 + 0 - 1). -357*p Expand -4*d - 2*d + 4*d + (-1 + d + 1)*(-17672 + 8843 + 8892). 61*d Expand (2*m**2 + 0*m**2 + 0*m**2)*(5*m**2 - 3*m - m + 6*m) - 63*m**2 + 7*m**4 + 63*m**2. 17*m**4 + 4*m**3 Expand (2*v + 3*v - 4*v)*(2*v**2 + 72 - 79 - 139). 2*v**3 - 146*v Expand (-29*p + 5*p - 2 + 1)*(-3*p - 3 + 3 + (-1 - 5 + 5)*(p - 4 + 4) - 3*p + 3*p + 2*p + 0 + 0 - 2*p). 96*p**2 + 4*p Expand -1 - 4*t**3 + 5*t**3 - 2 + (-2*t - 2*t + t)*(-2 + 2 + t**2) - t**3 + 0 + 0 + t - t - t**3 + (t**2 - 3*t**2 + 0*t**2)*(0*t - 2*t - 2*t). 4*t**3 - 3 Expand (-4 - z - 23*z**2 - 24*z**2 + 46*z**2)*(3 - 18 - 2). 17*z**2 + 17*z + 68 Expand (-x - 13 + 13)*(-10*x + 10*x + 11*x**3) + (2*x**4 - 2*x + 0*x + x)*(-2 + 4 + 0). -7*x**4 - 2*x Expand (0*c**3 - 3 + 1 - c**3)*(321*c + 18*c + 236*c). -575*c**4 - 1150*c Expand (-86*s + 48*s - 4 + 5*s**4 + 51*s)*(5*s + 0*s - 3*s). 10*s**5 + 26*s**2 - 8*s Expand (d + 0 + 0)*(4*d - d + 0*d)*(3*d - 5*d - 4*d). -18*d**3 Expand -4 - g**4 + 2 - g**4 + (-g - 2*g**3 + g)*(-2*g - 4*g - 6*g). 22*g**4 - 2 Expand (37 - 101 + 46)*(6 - 3 - 4)*(d - d - 2*d**5). -36*d**5 Expand (25*u**3 - 7*u**4 - 25*u**3)*(0*u - 3*u - 2*u). 35*u**5 Expand (-o + 3 - 3)*(11 + 0 - 3) - 3*o - 3*o + 2*o + (0*o - 2*o + 3*o)*(-1 + 1 + 1). -11*o Expand (4*a**2 - 3*a**2 + 0*a**2)*(-3*a - 3*a + a)*(264 - 116 - 121). -135*a**3 Expand (-2*q**2 + 3*q**2 + q**2)*(-31 - 426*q - 67 + 429*q)*(3 - 2 - 4). -18*q**3 + 588*q**2 Expand (464*k - 226*k - 320*k)*(-2*k**4 - 3*k**4 + 2*k**4). 246*k**5 Expand (2*v**2 - 3 + 3)*(-2*v**2 - v**2 + 6*v**2)*(14 + 5 - 15) + v**4 - 5*v**2 + 5*v**2. 25*v**4 Expand -745*c**2 + 1515*c**2 - 754*c**2 + (4*c**2 - c**2 - 4*c**2)*(3 + 1 - 2) + (1 + 0 + 1)*(3*c**2 - 3*c**2 + 2*c**2). 18*c**2 Expand (2 + 0 - 4)*(-5 + 4 + 0)*(-10*i**3 + 19*i**3 + 17*i**3). 52*i**3 Expand -122*c + 42*c - 68*c + (c - 1 + 1)*(2 - 2 - 1) - c + 0*c - c. -151*c Expand 0*k**2 - 3*k**2 + 0*k**2 + (k**2 - k**2 + 2*k**2)*(2 - 1 - 3) - 3*k + 3*k + k**2 + (0*k + 2*k + 0*k)*(2*k - 5 + 5) - 3 + 3 + 3*k**2 - 2*k - 2*k**2 + 2*k. -k**2 Expand -47*k**3 + 50*k**4 + 47*k**3 + (4*k**4 + k**4 - 3*k**4)*(-5 + 6 - 3). 46*k**4 Expand -2 - 3*h**2 + 4*h**2 + 2 + 2*h**2 - h**2 - 2*h**2 + 5*h**2 - 2*h**2 - 5*h**2 + (-3*h - h + 2*h)*(-4*h - 27*h + 8*h). 44*h**2 Expand (2*d**2 - 3*d**2 - d**2)*(-3 - 2*d + 3) + (-20 - 7 - 2)*(0*d**3 + 0*d**3 - 4*d**3) + (3 + 2*d**2 - 3)*(-2 + 2 - d). 118*d**3 Expand -u + 2*u**2 - 1 + 1 + (-3*u + 2*u - u)*(2018 + 549*u - 2018). -1096*u**2 - u Expand (4 - 6*y - 46077*y**2 + 21*y + 46081*y**2)*(-5*y + 0*y + 3*y). -8*y**3 - 30*y**2 - 8*y Expand (4*o - 17*o - 26*o + 4*o - 3*o - 2*o + (-1 - 1 + 4)*(o - 4*o + o))*(-4 + 4 + 2*o). -88*o**2 Expand (1 - 2*s - 1)*(s + s + 0*s) - 3*s**2 + 3*s**2 + s**2 + 6*s**2 - 28*s**2 - 19*s**2 + 1. -44*s**2 + 1 Expand (2*n + 0*n - 3*n)*(-13 + 12*n + 13 + (0 - 3 + 5)*(3 - 3 - n)) + (2*n**2 - 10*n**2 + 0*n**2)*(-2 + 5 - 2). -18*n**2 Expand (6*m**2 - 2*m**2 - 3*m**2)*(-1 + 1159*m**3 + 1 + 0 - 4057*m**3). -2898*m**5 Expand 0*d**4 - 3*d**4 + d**4 + (5*d**2 - 2*d**2 - 2*d**2)*(2*d**2 + 1 - 1) + 3*d**4 - 2*d**4 + 0*d**4 + (-14*d**3 + 13*d**3 + 9*d**3)*(2*d - 5*d + 2*d). -7*d**4 Expand (-x**3 - 4 + 2*x**3 + 0*x**3)*(0*x + 5*x + 5*x). 10*x**4 - 40*x Expand (3 + 0 - 5)*(4 - 4 - 2*n) + 3*n + 3*n + n - 3 + n + 3 + n + 1 - 1 + (0*n - 2*n + 0*n)*(0 + 0 - 2). 17*n Expand (470*r + 552*r**2 - 470*r)*(5*r - 4*r + 0*r). 552*r**3 Expand (0*y**2 + 0*y**2 + y**2)*(-33*y**3 + 206*y**3 + 129*y**3). 302*y**5 Expand (1 + 1 - 6)*(3*z - z - 5*z + (0 + 1 + 0)*(-3*z - 3*z - 3*z)). 48*z Expand (0 - 5 + 3)*(-10 + 13 - 16)*(1 - 1 + 2*r). 52*r Expand (-3 - 3*f**3 + 3)*(-f**2 - 3*f**2 - f**2)*(31 - 13 - 8). 150*f**5 Expand (-6*q + 7*q - 13*q)*(5*q + 0*q - 4*q)*((4*q + 0*q - 6*q)*(-q**2 + 4*q**2 - 4*q**2) - 3*q**3 + 3*q**3 - q**3). -12*q**5 Expand 35 - 35 + 23*g**4 - 2*g**3 + g**4 + 2*g**3 + (-3*g**2 + 4*g**2 - 2*g**2)*(2 - 2 - 2*g**2) + 3*g**4 - 3*g**4 + g**4 - 3*g**4 + 2*g**4 - 2*g**4. 24*g**4 Expand (12019*f**4 - 2*f + 4*f - 12039*f**4)*(-6*f + 4*f - 2*f). 80*f**5 - 8*f**2 Expand 13*p + 10*p + 13*p - 12*p + (6*p - 17*p - 3*p)*(-2 + 0 + 0). 52*p Expand (-12*r**3 + 17*r**3 + 9*r**3)*(4*r - 5*r + 0*r) + 5*r**4 - r**4 - 3*r**4 + (4 - 4 + 1)*(-r**4 - 3*r**4 + 2*r**4) + 3*r**3 - 2*r**4 - 3*r**3. -17*r**4 Expand -3*o**3 + 2*o**3 + 0*o**3 + (-2*o**2 - 8*o**2 + 4*o**2)*(5*o - 3*o - 4*o) + (o**2 - 3*o**2 - 2*o**2)*(-o - 2*o + 5*o). 3*o**3 Expand (3 + 4*r - 3)*(318*r + 0 + 3 - 363*r). -180*r**2 + 12*r Expand (5*u + 1 - 2 - u)*((-4*u + u + u)*(-4*u + 0*u + 6*u) + (-4*u**2 + 4*u**2 + u**2)*(-2 - 21 - 18)). -180*u**3 + 45*u**2 Expand (2*u - 4*u + 0*u)*(-133 + 133 - 5*u + (1 - 3 + 0)*(u + 0 + 0) - u + u + u). 12*u**2 Expand (113*d**2 - 496*d**2 + 116*d**2)*(0 + 0 - d). 267*d**3 Expand 10*g - 12*g**5 - 17*g + 9*g + (0*g + 4*g - 5*g)*(3*g**4 + 2*g**4 - g**4) + 0*g - g**5 + 0*g + (-2 - 1 + 2)*(-g**5 - 3*g**2 + 3*g**2). -16*g**5 + 2*g Expand (3
{ "pile_set_name": "DM Mathematics" }
k + 42 = 5*v - 4*k. Calculate the remainder when 28 is divided by v. 4 Let l(m) = -m**3 + 14*m**2 + 2*m - 10. Calculate the remainder when 51 is divided by l(14). 15 Suppose -58 = -2*t + 2*u, -4*u - 38 = 3*t - 4*t. Calculate the remainder when 127 is divided by t. 23 Let v(g) = 4*g + 2. Let r(c) = -2*c - 1. Let i be r(-6). Suppose 5*a - i - 19 = 0. What is the remainder when v(a) is divided by 14? 12 Let f(a) = -a + 1. Let x be f(-1). Suppose 5*z = x*z + 12. Calculate the remainder when z is divided by 1/(2 + 3/(-2)). 0 Let h = 7 + 4. Calculate the remainder when 43 is divided by h. 10 Let b(i) = i + 1. Let r be b(5). Let d = -1 + 1. Suppose d - r = -k. What is the remainder when k is divided by 4? 2 Suppose 36 + 42 = 2*o. Calculate the remainder when o is divided by 14. 11 Let v(l) = 2*l - 5. Let z(d) = -d**3 + 7*d**2 - 8*d - 3. Let m be z(6). Let n = m + 22. What is the remainder when n is divided by v(4)? 1 Let s(x) = -3*x**2 - 17*x - 18. Let t(m) = -3*m**2 - 16*m - 17. Let k(h) = 5*s(h) - 6*t(h). What is the remainder when k(-6) is divided by 19? 16 Let f be 8/(-3)*3/(-2). Let q = f + 1. Suppose -3*d + 21 = -6. Calculate the remainder when d is divided by q. 4 Let s(b) be the first derivative of 3*b**2/2 - b - 3. Calculate the remainder when s(2) is divided by 2. 1 Suppose 0 = 5*r - 5*j + 150, -4*r = 4*j - 9 + 89. What is the remainder when (-15)/r*(2 - -13) is divided by 5? 4 Let k(j) = j - 5. Let s be k(5). Suppose s = -r - n + 6, 4*r - 46 - 2 = 4*n. What is the remainder when 17 is divided by r? 8 Let b(k) = -k + 2. Let v be ((-2)/(-2))/((-1)/(-2)). Let s be b(v). What is the remainder when 32 is divided by (1 - s)/(2/34)? 15 Calculate the remainder when (-1)/5 - 451/(-5) is divided by 31. 28 Let z = -23 + 12. Let t = -2 - z. Suppose c = -2*c + 51. What is the remainder when c is divided by t? 8 Let w(v) = -v**3 - 5*v**2 - 4*v + 2. Suppose 2*z - 16 = -2*g, z - 7 - 7 = -4*g. What is the remainder when w(-5) is divided by z? 4 Suppose -i = 3*r + 2*i, -r + i = -4. Suppose -4*c - 3*j + 9 = 0, 2*c + 3*c - 12 = -3*j. What is the remainder when c is divided by r? 1 Suppose s - 24 = -3*s - m, m + 6 = s. Suppose s = 2*a + a. Let t(q) = -q - 10. Calculate the remainder when t(-14) is divided by a. 0 Let r be 2 - (-4 + 3) - 0. Suppose 8*f - r*f = 50. Calculate the remainder when 27 is divided by f. 7 Suppose 3*n = n + 2. Calculate the remainder when 11 is divided by -6*1/(-2) + n. 3 Suppose v - 4*q + 80 = 5*v, -68 = -2*v + 5*q. Suppose 17 + 9 = -l. Calculate the remainder when v is divided by l*(2/1)/(-4). 11 Suppose -9 - 1 = -s. What is the remainder when s is divided by 4? 2 Suppose 5*u - 12 + 7 = 0. Let i be (-5)/(5/2) - 18. Calculate the remainder when (i/15)/((-4)/6) is divided by u. 0 Suppose -s + 3 = -8. Let x be 2*87/12*2. Suppose -67 - x = -3*w. Calculate the remainder when w is divided by s. 10 Let b(m) = -m**3 - 6*m**2 + 5*m - 8. Let l = 17 + 5. Calculate the remainder when l is divided by b(-7). 4 Let v = 27 + 5. What is the remainder when v is divided by 9 - (2 + -8)/3? 10 Suppose 4 = 3*j + 1. Suppose -3*y + 16 + 2 = 0. Suppose -3*b + 0*b = -y. Calculate the remainder when b is divided by j. 0 Let y = -21 - -76. What is the remainder when y is divided by 19? 17 Suppose 215 = 7*p - 58. What is the remainder when p is divided by 5? 4 Let j(v) = v**2 - v - 2. Let o be j(-4). Let l(b) = -b**3 - 9*b**2 + 5. Let f be l(-7). Calculate the remainder when (-4)/o*3*f is divided by 21. 20 Suppose -54 = -4*p + 58. What is the remainder when 54 is divided by p? 26 Let q(g) = 2*g + 3 - g + 1 + 13. What is the remainder when 33 is divided by q(0)? 16 Let k(o) = o**2 + 8*o - 13. Let j be k(-10). Suppose -3*l + 2*l = j. Let z = l - -12. Calculate the remainder when 17 is divided by z. 2 Suppose -w = -3*t - 26, 2*w + 4*t + 64 = 6*w. Calculate the remainder when 28 is divided by w. 6 Suppose 0 = b + b - 42. Let m = 40 - b. What is the remainder when m is divided by 10? 9 Suppose -p + v + 3*v + 34 = 0, 0 = -4*v - 20. Let u(f) = -f**2 + 2*f + 12 + 14 - 3*f. What is the remainder when u(0) is divided by p? 12 Suppose -4*d - 6*l + 81 = -l, 2*d - 3*l = 13. Let u = d - 10. Calculate the remainder when 9 is divided by u. 1 Let z(b) = 4*b**2 - 3*b + 1. Let m be z(2). Let j = m - 7. Suppose 0*g + j = g. What is the remainder when g is divided by 3? 1 Let a be 2 + (-1 - 0) + -3. Let k = a - -6. Let o = 25 - k. What is the remainder when 62 is divided by o? 20 Let s(q) = q**2 + q. Let z be s(-3). Let p = 6 + z. Let v = 44 - 21. What is the remainder when v is divided by p? 11 Let h = 14 + -3. What is the remainder when 38 is divided by h? 5 Let b(l) = 2*l**3 - 3*l**2 - 3*l + 6. Let j be b(3). Calculate the remainder when 90 is divided by (j/(-16))/((-3)/46). 21 Let m = 10 + -6. Suppose 3*i = -m*y + 269, -2*i + 6*y = 5*y - 194. What is the remainder when i is divided by 24? 23 Let s(c) = -7*c - 23. Let b(m) = m + 4. Let k(i) = -34*b(i) - 6*s(i). Let o(h) = h**2 + 3*h + 2. What is the remainder when k(4) is divided by o(-5)? 10 Suppose 4*l = 5*l - 6. Suppose 2*c + 28 = 4*n, -c + n + l - 17 = 0. Let w = c - -11. What is the remainder when 5 is divided by w? 2 Let u = 24 - 4. Suppose b = 5 + u. What is the remainder when b is divided by 7? 4 Suppose -4*z + 4 = y - 1, 0 = y - 4*z - 45. Calculate the remainder when y is divided by 9. 7 Suppose -4*s = -s - 9. Calculate the remainder when 3 is divided by s. 0 Let p = 21 - 35. Let t = p + 27. What is the remainder when t is divided by 5? 3 Suppose 17 = -6*b + 137. What is the remainder when 77 is divided by b? 17 Let n(o) = 5*o - 3. Let z = -4 - 20. Let x = 59 + z. Calculate the remainder when x is divided by n(3). 11 Let c(a) = 4*a - 21. Calculate the remainder when 86 is divided by c(9). 11 Let x = 120 - 106. What is the remainder when x is divided by 8? 6 Calculate the remainder when ((-12)/3 - -23) + 2 is divided by 6. 3 Let b = -18 - -31. Let t be 5 + 1 + (-1 - 0). Suppose 0 = -2*l + t*j + 62 - 24, -5*l + 124 = 2*j. Calculate the remainder when l is divided by b. 11 Let d(x) = -x**2 + 7*x + 10. Let l be d(8). What is the remainder when 46 is divided by l/3 + (-184)/(-12)? 14 Suppose 11 = -2*m + 4*n + 5, 12 = 3*m + n. Suppose 3 + 12 = 3*k. What is the remainder when k is divided by m? 2 Let r = -1 - -3. Let u(y) = -3*y + 4. Let z be u(3). Let j = -4 - z. Calculate the remainder when r is divided by j. 0 Suppose -2*z + 6 = 5*i, -3*i + 2*i = -2*z + 18. Suppose -20 + 82 = 3*a + 4*g, -3*g - 69 = -3*a. What is the remainder when a is divided by z? 6 Let o(j) = 5*j**2 + 7*j - 2. Let u be 8/2 - -1*2. Let b be o(u). Suppose -2*d = 2*d - b. What is the remainder when d is divided by 19? 17 Let u(o) = -o**2 - 9*o + 14. Let x be u(-10). Suppose 2*b - 3*b + x = 0. Calculate the remainder when 11 is divided by b. 3 Let n = -15 + 27. What is the remainder when (2*(-2)/4)/((-19)/855) is divided by n? 9 Let t = -9 - -26. Suppose 0 = h + 3*h - 20. What is the remainder when t is divided by h? 2 What is the remainder when 9 is divided by (-1)/(42/(-10) - -4)? 4 Let r = -73 - -82. Calculate the remainder when 23 is divided by r. 5 Let i(h) = h**2 + 2. Calculate the remainder when i(2) is divided by (-2)/(-9) + (-50)/(-18). 0 Suppose 12 = 3*i + s, 4*i + 0*s - 16 = s. Let l = 29 + -26. Suppose f + 5*q - 24 = -0*f, -i = -4*f + l*q. Calculate the remainder when 9 is divided by f. 1 Suppose -m - 235 = -5*g, -2*m = -3*g - 7*m + 169. Suppose 4*y + 8 = g. What is the remainder when y is divided by 6? 4 Let k(t) = t**3 + 10*t**2 - 2*t - 17. Calculate the remainder when k(-10) is divided by 3. 0 Let u(b) = -23*b. Let f be u(-4). Suppose -26 + f = 2*p. Let g(c) = c**3 + 7*c**2 + 3*c - 6. Calculate the remainder when p is divided by g(-6). 9 Suppose 22 = 4*g - 2. Let c(y) = y**3 + 5*y**2 - 4*y + 7. Let x be c(-6). Let q = x - -14. Calculate the remainder when q is divided by g. 3 Suppose 3*w + 0*w - 251 = -5*b, -2*b - 4*w = -92. Suppose 5*i + 17 = b. What is the remainder when i is divided by 4? 3 Let c = -16 + 6. Let w = -1 - c. Calculate the remainder when 25 is divided by w. 7 Let n = -56 + 103. Calculate the remainder when n is divided by 24. 23 Let d = -37 - -53. Calculate the remainder when 30 is divided by d. 14 Let t(k) = 4*k**2 + k**2
{ "pile_set_name": "DM Mathematics" }
when q is divided by 35? 34 Let i(g) = -g**3 - 15*g**2 - 31*g - 5. Let y be i(-13). Suppose 7*v - v - y = 0. What is the remainder when 44 is divided by v? 4 Suppose 32*b - 35*b = -3. Calculate the remainder when (-3)/b - (-150 + 5) is divided by 18. 16 Suppose 0 = a + 2*a - 9. Suppose 6 = -g + a*s, 2*g - s + 6 = 3*g. Suppose -2*w = -g*w + 12. What is the remainder when w is divided by 3? 0 Let u = -14 - -29. What is the remainder when 45 is divided by -11 + u + 0 + 20? 21 Let l = 56 + 38. Let f = l + -56. What is the remainder when f is divided by 7? 3 Let v be (-8)/(-10)*30/12. Let t be (0 - (-4)/4) + v. Suppose 25 = -t*f + 8*f. Calculate the remainder when 7 is divided by f. 2 Suppose 3*t - 253 = -1. Suppose -s = -2*d + 32, s = 3*d - 0 - 49. Calculate the remainder when t is divided by d. 16 Let f be (4 - 0)*(-4)/(-8). Suppose 19 = o - 4*j - 40, 3*j = 5*o - 278. Calculate the remainder when o is divided by (76/(-20))/(f/(-10)). 17 Let b be (-7)/((-7)/(-6))*8/(-16). Suppose -b*u = 3*t - 11 - 16, -2*t + 30 = 5*u. Calculate the remainder when 6 is divided by u. 2 Let j(a) = 22*a**2 - 99. What is the remainder when j(-8) is divided by 57? 55 Let m = -6 - 23. Let n = m - -33. Calculate the remainder when 9 is divided by n. 1 Suppose 0 = 5*p - 150. Suppose -5*i + 95 = 5*b, i - 2*i + 31 = 5*b. What is the remainder when p is divided by i? 14 Let m = 1 - 1. Suppose 34 = -m*z + 2*z. Calculate the remainder when 66 is divided by z. 15 Suppose 44*b - 7144 = -3*b. What is the remainder when b is divided by 89? 63 Let k(q) = -8*q**3 + 1. Calculate the remainder when 213 is divided by k(-1). 6 Suppose 0*v - v = -2*s + 3, -4*s + v = -9. Suppose -5*n + 323 = 2*c, -s*c - n - 4*n = -497. Calculate the remainder when c is divided by 44. 42 Suppose -3*l = -l - 78. Let x(m) = 33*m - 45. What is the remainder when x(6) is divided by l? 36 What is the remainder when 245 is divided by (-219 - 0)/(-13 + 10)? 26 What is the remainder when (-7)/(-21) + 826/6 is divided by 60? 18 Let p(l) = -l**2 + 27*l - 103. Calculate the remainder when p(18) is divided by 30. 29 Suppose -15070 = 18*q - 28*q. Calculate the remainder when q is divided by 58. 57 Suppose -5*r + 750 = -2*s, 5*s - 120 = 2*r - 420. Let m = -1855 - -1893. Calculate the remainder when r is divided by m. 36 Let g(f) = -18*f**2 - f. Let w be g(-2). What is the remainder when (2 + 4/(-10))/((-2)/w) is divided by 19? 18 Let k(i) = -2*i**2 + 37*i - 47. Calculate the remainder when 25 is divided by k(17). 1 Suppose -133 = 2*i - 849. Calculate the remainder when i is divided by 72. 70 Let w = 731 + -564. What is the remainder when w is divided by 5? 2 Let w = 675 + -641. What is the remainder when 61 is divided by w? 27 Suppose 5*l - 2 = -3*h, 5*h + l = 27 + 13. Calculate the remainder when 161 is divided by h. 8 Suppose 7*w + 15 = 12*w. Suppose 144 = 6*d + w*d. Let i(c) = 5*c + 5. Calculate the remainder when i(5) is divided by d. 14 Let i = -255 + 311. What is the remainder when 160 is divided by i? 48 Calculate the remainder when (18/30)/((-4)/20) - -1424 is divided by 79. 78 Suppose -n = 4*d - 107, 0 = -n - 4*d + 9*d + 71. Suppose 0*y + 93 = 3*y. Calculate the remainder when n is divided by y. 29 Let i(y) = -6*y + 5. Calculate the remainder when 161 is divided by i(-1). 7 Suppose 3*l = 96 - 51. Let a(u) = u**3 - 3*u**2 + 2*u - 3. Calculate the remainder when a(5) is divided by l. 12 Suppose -k + 21 = -0*k + 2*r, -3*k = -3*r - 54. Let y(c) = -75*c**3 + 2*c + 74*c**3 + 37 + c**2 - c. What is the remainder when y(0) is divided by k? 18 What is the remainder when 4*(126/567 + 2522/72) is divided by 49? 43 Let h = 1999 - 1663. What is the remainder when h is divided by 110? 6 Let z = -457 + 477. Calculate the remainder when 34 is divided by z. 14 Suppose 0 = 2*v - 0 - 2. Suppose -6*z = -3*z + 5*d + v, 4*z + 2*d = 8. Let f(o) = -12*o**3 - o. Calculate the remainder when f(-1) is divided by z. 1 Let c = -25 - -64. Let q = -1 + c. Calculate the remainder when q is divided by 10. 8 Suppose -13*j + 14*j + h - 70 = 0, 2*j = 4*h + 116. What is the remainder when (-14)/(((-6)/2)/42) is divided by j? 64 Suppose -77*y + 10*y + 2814 = 0. What is the remainder when y is divided by (-1)/(2/(-48)) - 2? 20 Let i = -223 - -140. Let t = i - -226. What is the remainder when t is divided by 29? 27 Suppose -4*p - 2*d + 2316 = 0, 8*p = 3*p + 2*d + 2904. Suppose 3*a + 46 = p. What is the remainder when a is divided by 46? 40 Let f = -31 - 19. Let z = -35 - f. What is the remainder when 117 is divided by z? 12 Let z be -2*(39/(-6) + -1). Suppose -b + 5*l = -0*b - 13, 4*l + 8 = 0. What is the remainder when b is divided by z/(-35) - (-72)/21? 0 Suppose 2*p - 134 = -4*z, 3*p - 3*z - 193 - 53 = 0. Let m = 130 - p. What is the remainder when m is divided by 11? 9 Let u = -483 - -776. Suppose 0 = -4*o - 25 + u. Calculate the remainder when o is divided by 23. 21 Suppose -4958 = -39*p + 2*p. What is the remainder when p is divided by 35? 29 What is the remainder when 68 is divided by 1463/154 + 5/2 + -1? 2 Let u(f) = f**2 + f - 1. Let h(x) = -8*x**2 - 4*x + 8. Let y(v) = -h(v) - 6*u(v). What is the remainder when y(5) is divided by 20? 18 Suppose -2*i + 3*f = -19, f = i - 2*i + 17. Let k = i - 9. Suppose 4*a + k*o - 24 = 0, -4*a + 19 = 3*o - 5. Calculate the remainder when 23 is divided by a. 5 Let f = -4 - -9. Suppose 5*d - 5*x - 85 = 0, -67 - 24 = -f*d - x. What is the remainder when (315/(-3))/(6/(-4)) is divided by d? 16 Let a(f) = f**3 + 20*f**2 + 22*f - 30. Let x be a(-16). Suppose -2042 = -8*q - x. Calculate the remainder when q is divided by 22. 21 Let j(c) = c**3 - 21*c**2 + 8*c + 113. Calculate the remainder when j(21) is divided by 72. 65 Let q = 75 + -72. Suppose -2*v + 165 = v. Calculate the remainder when v is divided by q. 1 Suppose -3*i + 79 = 4*k, 6*i + 19 = k + 7*i. Suppose -65 = k*h - 197. What is the remainder when h is divided by 5? 1 Let t = 53 - 53. Suppose t = -s - l - l + 35, 3*s = 2*l + 73. Let u = 25 + -18. What is the remainder when s is divided by u? 6 Suppose -d + 5*w + 114 = 0, 3*w = -34*d + 29*d + 710. Calculate the remainder when d is divided by 16. 11 Let z(p) = 47*p - 81. What is the remainder when z(3) is divided by 9? 6 Suppose 0*t + 3*t = 4*o - 382, -2*o = -3*t - 188. Suppose o = 3*r - r - f, 5*r - 5*f - 235 = 0. Calculate the remainder when r is divided by 15. 5 Let z(o) = -435*o + 1315. Suppose -j + 2*j - 37 = 0. What is the remainder when j is divided by z(3)? 7 Let n(p) be the third derivative of -p**5/60 - 5*p**4/6 - 25*p**3/6 + 30*p**2. Calculate the remainder when 97 is divided by n(-15). 47 Suppose 2*o + 0*i - 121 = -3*i, -9 = 3*i. Calculate the remainder when o is divided by 35. 30 Suppose -4 = -i + 5*b + 16, -2*i - 5*b = -10. Suppose -42 = -a - i. Suppose 0 = -4*p + 203 + 169. Calculate the remainder when p is divided by a. 29 Suppose -2*u = -u - 7. Let v(p) = -p**3 + 7*p**2 + 12*p - 6. Let g be (-104)/(-12) - 4/6. What is the remainder when v(g) is divided by u? 5 Suppose 4*r - 47 = 81. Let l(s) = 12*s + 9. Let i be l(7). Suppose 0 = -j + i - r. Calculate the remainder when j is divided by 21. 19 Suppose -4*n + 65 = v, -3*n - 4*v - 1 = -66. Let h be -1 + 5 + -14 + n. Suppose 3*j + 30 = h*j. Calculate the remainder when 58 is divided by j. 13 Suppose 0 = -3*m + 52 + 5. Let w = 315 - 311. Calculate the remainder when m is divided by w. 3 Let q = 330 + -296. Let s = -39 - -68. Let d = -11 + s. Calculate the remainder when q is divided by d. 16 Let s = -2352 + 2982. Calculate the remainder when s is divided by 208. 6 Suppose -3*l + 42 = 3*f, -5*l + 2 = -f - 10*l. Let y = f + 24. Calculate the remainder when y is divided by 9. 6 Suppose 0 = -2*m - 4*h + 42, 0 = 4*m - 5*h + 15 - 60. Calculate the remainder when m is divided by 6. 3 What is the remainder when 282/4 + 3/6 is divided by -2 - 99/(-36) - (-69)/4? 17 Let r(m) = -11*m - 137. Let z(s) = -2*s - 1. What is the remainder when z(-15) is divided by r(-14)? 12 Let v(u) = u**2 - 4. Let o be v(0). Calculate the remainder when 363 is divided by 1 + (1 - o) + 55. 58 Let i(q) = q**2 - 69*q + 468. Calculate the remainder when 739 is divided by i(7). 25 Suppose 4047 = 65*j + 1512. What is the remainder when 146/(-6)*(-15)/5 is divided by j? 34 What
{ "pile_set_name": "DM Mathematics" }
392*j**2 + j**4 + 481*j - 5 + 30393*j**2 to the form h*j**4 + g + p*j**3 + t*j + m*j**2 and give g. -5 Express -39*r + 85*r + 103*r - 10*r**2 + 1 as o + p*r**2 + c*r and give p. -10 Express 3703 - g**3 - 7396 + 3699 + 39*g + 0*g**3 + g**2 as f*g**3 + h + o*g + x*g**2 and give x. 1 Rearrange 4*l - 4*l - 3*l**3 - 4*l**4 + (2*l**2 - l**3 + 0*l**3 - 4*l**3)*(-2*l + 8*l + 30*l) to c*l**2 + k + f*l**4 + w*l + u*l**3 and give c. 0 Rearrange -15*a + 350*a**3 + 2*a**2 + 332*a**3 - 1313*a**3 + 337*a**3 + 339*a**3 to the form b + j*a + t*a**3 + k*a**2 and give t. 45 Express -3*t - 6*t + 3*t + (-362*t - 3417 + 3417)*(5 - 1 - 1) as a + w*t and give w. -1092 Rearrange -18 - 1011*h - 996*h + 4*h**2 + 2004*h - 40 to u + k*h + n*h**2 and give n. 4 Rearrange (-2 + 2 + 5*y)*(-9 + 5 - 5)*(-38 - 13 + 13) + y + 3*y - 2*y to the form i*y + s and give i. 1712 Rearrange -1261*i**2 - 1252*i**2 - 3*i - 1 + 5*i**4 + i**3 + 5 + 16*i**4 + 2514*i**2 to the form w + l*i**2 + b*i**3 + n*i + k*i**4 and give n. -3 Express -3*i**3 + 30 - 87811*i + 2*i**3 + 87812*i + 4*i**2 as x*i**2 + g + m*i + t*i**3 and give m. 1 Rearrange -3559949 + 2452*n**2 - n + 3559949 to w*n**2 + b*n + h and give w. 2452 Express -770 - 384*y**4 + 0*y**3 + y**2 + y**2 - 2*y**3 + 384 + 384 + 2*y as b*y**3 + c*y**4 + q*y**2 + h + d*y and give h. -2 Rearrange 2 + 97*y**2 - 98*y**2 + 52*y - 2*y**3 - 4 + 2 to the form h + c*y**3 + a*y + b*y**2 and give c. -2 Rearrange 267 - 2*v**3 + 226 - 271 + v to the form n + z*v**3 + f*v**2 + p*v and give z. -2 Express 5162*d**2 + 128 + 146 - 274 + 13513*d**2 in the form f*d + p*d**2 + z and give p. 18675 Rearrange 5019259 - 5019259 - 9515*d to s + q*d and give q. -9515 Rearrange (29 - 139*p - 138*p + 413*p - 137*p)*((1 - p - 1)*(-3 + 2 + 0) - p - 3*p - 3*p) to g*p + b*p**2 + s and give g. -174 Express 1362*y + 270 - 16*y**4 - 1358*y - 266 - 21*y**4 in the form a*y + t + w*y**3 + c*y**4 + m*y**2 and give a. 4 Express -247 - 249 - 6316*y + 741 - 245 - 2*y**2 as l*y + d*y**2 + u and give l. -6316 Express 7*j**3 + 565*j - 18*j**2 + 2 - 567*j + 3*j**3 as f*j**3 + d + r*j + h*j**2 and give h. -18 Rearrange -q**2 - 128 + 47*q + 127 - 27*q + 4*q**2 to d + x*q + t*q**2 and give x. 20 Express -242 - 19338*p + 11*p**2 + 572 - 2*p**4 + 19339*p as f*p**4 + g*p**3 + u*p**2 + a + s*p and give a. 330 Express 44 - 2*a**3 + 2179*a - 2180*a - 44 + 4*a**3 + 9*a**2 - a**4 in the form q*a**3 + d*a**4 + x*a**2 + j + y*a and give x. 9 Rearrange -399*k + 420 - 420 - 4203*k to the form p + m*k and give m. -4602 Express 52 + 5*m**3 - 2*m - 52 - 1 - 2*m**3 + m**3 + 0 + (-3*m**3 + 2*m**3 - 8*m**3)*(-23 + 23 - 20) as a + d*m**3 + k*m + y*m**2 and give k. -2 Rearrange -a**2 - 30 + 5*a - 6*a - 103 - 9*a - 78 to y*a**2 + c*a + j and give j. -211 Rearrange -111 + 41 - 135*s + 41 + 2334*s + 22 to b*s + g and give b. 2199 Rearrange (5*m - 5*m - 2*m + (2 - 2 - 2)*(3*m - 3*m - 2*m) - 110*m + 208*m + 184*m)*(5 - 5 + 3*m) to q*m**2 + k + p*m and give q. 852 Express 9 - 14 - 6410*r - 2*r**2 - 7 - 9 + 20 as i*r + b*r**2 + s and give b. -2 Rearrange 3484*s - 5753*s + 5159*s to the form v + z*s and give z. 2890 Express -2 + 2*j + 0*j - 3*j + (27 - 27 - 7*j + (-5*j - 3*j + 3*j)*(-4 - 2 + 4))*(-2 + 4 + 7) as u + k*j and give u. -2 Rearrange 471 - 1011 + 538 - 4098*k to x*k + j and give x. -4098 Express 6*g + 22*g + 25*g + 5*g**2 - 41*g**2 + 51*g as l*g + i*g**2 + z and give i. -36 Express 3076*u - 39 - 9645*u + 39 in the form h + z*u and give z. -6569 Rearrange -26970 - 1623*k**2 - 1987*k**2 - 206*k**2 + 26970 to the form y*k + g*k**2 + v and give g. -3816 Express (-2 + 5 - 4)*(4 - a - 4) + 1337*a - 3 + 3 + 1424*a + 994*a as u*a + l and give u. 3756 Rearrange (3*t - 4*t - 2*t)*(-11*t + 3*t - 2*t) - 886*t + 3 + 884*t + 6*t**2 - 4*t**2 to the form o*t**2 + f + c*t and give f. 3 Rearrange (1124 + 500*h**2 - 1124)*(1 + 2 - 4 + (3 - 4 + 0)*(0 + 3 - 2) - 1 + 11 + 0) to the form w*h**2 + a*h + m and give w. 4000 Express -4*t**3 - t**2 + 4224*t - 1422*t - 1408*t + 6*t**4 - 1415*t as b + s*t + h*t**3 + i*t**2 + a*t**4 and give h. -4 Express (3*r**2 - 8*r**3 - 3*r**2)*(3 - 1 + 0 + (-1 - 1 + 1)*(1 + 1 - 1) + 0 - 4 + 3 - 1567 + 5835 + 2508 + 3318) as x*r + c*r**2 + k + h*r**3 and give h. -80752 Express ((-28 - 43 + 22)*(-2*r - 3*r - 3*r) + 3*r - 3*r + 4*r)*(2*r + 1 - 1) as n*r + m + x*r**2 and give x. 792 Rearrange 2 - 2 - 294*x**3 + 19*x**2 + 587*x**3 - 291*x**3 - 19*x to r*x**2 + i*x + b*x**3 + a and give i. -19 Rearrange (-2 - 4 + 5)*(2*m - 4*m + 4*m) - 4*m + 3*m + 0*m - 2099*m - 1355*m + 1202*m + (2*m + 0 + 0)*(1 - 3 + 4) to a*m + c and give a. -2251 Express 3 - 1 + 252659*l - 3 - 247716*l in the form t*l + w and give w. -1 Express (0*w + 2*w - w)*(w - 6*w + 2*w)*(2 - 9*w + 14*w - 9*w) in the form u + f*w + x*w**2 + q*w**3 and give x. -6 Rearrange 0*z - 3*z + z + (-2*z + z + 0*z)*(1 - 2 + 0) + (2 + 1 - 2)*(1471*z + 3491*z + 142*z) to a*z + g and give a. 5103 Express -563*c + 559*c + 173*c**2 - 174*c**2 - 33*c**4 - 2*c**3 in the form m + w*c**4 + l*c**2 + k*c**3 + q*c and give q. -4 Express -29784*z + 59570*z - 10 + 23*z**2 - 5 - 29788*z in the form o + t*z**2 + q*z and give t. 23 Express 11560467 - 5008*p**2 - 11560467 in the form l*p + g*p**2 + d and give g. -5008 Rearrange (-8 - 39 + 2*g - 9)*(289*g - 16 + 16 + 258*g + 159*g) to the form k*g + x*g**2 + h and give k. -39536 Express -25 - 170*r**2 + 4*r - 16*r + 12*r + 19 in the form b*r**2 + z + p*r and give b. -170 Express b**3 - 178*b**2 - 13 + 180*b**2 - 8*b**2 - 11*b as d*b**2 + v*b + t*b**3 + m and give d. -6 Rearrange (-3 + 3 + 2)*(-30*n + 45*n + 44*n)*((34 - 34 - 7*n)*(-2 - 2 + 2) - 8 - 3*n + 8) to h + z*n + i*n**2 and give i. 1298 Express -22170*q**4 + 44342*q**4 + q**3 - 2 - 1843*q - 22174*q**4 as a + b*q**3 + y*q**2 + t*q + r*q**4 and give a. -2 Express -64*y**2 + 100139*y + 20*y**2 - 100100*y - 3 + 3 as g*y**2 + h + o*y and give g. -44 Rearrange -1213 + 1995 - 4*y - y**2 - 7*y + 16*y - 9*y to x*y**2 + s*y + t and give s. -4 Express -3914*l - 5 - 10 + 59 - 44 as k + h*l and give h. -3914 Express 22*i - 59*i - 24*i + (5*i - 6*i - 8*i)*(2 - 5 + 2) in the form b*i + m and give b. -52 Rearrange (121*k + 15934 - 15934)*(-2*k**2 + k**2 + 2*k**2 + (3*k + k - k)*(4*k - 3*k - 4*k)) to c*k**3 + w*k + z*k**2 + f and give c. -968 Rearrange (16 + 3 - 7)*(-6995 + 6995 - 197*g) to the form k + h*g and give h. -2364 Express -3*n**2 + 5*n**2 + n - 83*n**3 - 2365 + 22*n**3 + 5*n**2 + 2368 in the form f*n**2 + t + k*n + l*n**3 and give f. 7 Express 1348*a - 293 - 3955*a + 1306*a - 2*a**3 + 1301*a + 2*a**2 in the form p*a**2 + z*a**3 + c*a + m and give p. 2 Rearrange -91*v**2 + 717*v**2 - 1312*v**2 - 1009*v**2 to the form n + m*v**2 + x*v and give m. -1695 Rearrange -3*z - 427*z**3 - 3*z + z**2 - z**2 - z**2 + 380*z**3 to y*z**2 + h*z + v*z**3 + q and give h. -6 Rearrange 658*c - 1027*c**3 + 2090*c**3 - 1078*c**3 to x*c**2 + d*c + w*c**3 + a and give w. -15 Express 0*p - 9823 - 4*p + 9642 in the form x*p + n and give n. -181 Rearrange 1069*g**2 - 534*g**2 - 536*g**2 + 60 + 22*g + 31 to k*g + f*g**2 + s and give f. -1 Rearrange (-2 - 1 + 0)*((-1 + 1 + 2*o)*(-6*o + o + 3*o) - 29 + 29 + 335*o**2) to y + z*o + n*o**2 and give n. -993 Express (5 - 1 - 5)*(1 - c - 1)*(178 + 1321 + 1036 + 313) as b + g*c and give g. 2848 Rearrange -4327*t**2 + 42 + t - 4353*t**2 - 4312*t**2 + 17188*t**2 - 4277*t**2 to the form z*t + p + f*t**2 and give p. 42 Rearrange (1 - 4 + 2)*(0 - 3 + 1)*(-2094 - 52*a**2 + 2094)*(-2*a - 4*a + 4*a) to the form p*a + w + t*a**2 + n*a**3 and give n. 208 Express 104980*z**2 + 106917*z**2 + 1 - 7 - 213310*z**2 as o*z**2 + t + h*z and give o. -1413 Rearrange -h + 13*h - 3*h - 14*h - 6*h + 276 to g*h + m and give g. -11 Rearrange 871*k**2 + k + 1483*k**2 + 1041*k**2 to the form u*k**2 + h*k + b and give u. 3395 Rearrange 2 - 34*i**3 - 55*i**2 + 57*i**2 + 0 - 4*i**3 - 21*i**3 - 6*i**3 + (-2*i**2 + i - i)*(-2 + 2*i + 2) to the form t*i**2 + x*i**3 + m + v*i and give x. -69 Rearrange 1515*r + 1580*r - 3095*r + 11371*r**2 to y*r**2 + b*r + i and give b. 0 Express 19*b - 42*b**2 - 20649328 + 20649328 in the form j*b + a + y*b**2 and give j. 19 Express -40 + 58*c**2 + 47*c**2 + c**2 + 6*c**2 as k*c**2 + i + m*c and give k. 112 Rearrange -129 + 19 - 15 - i + (0 + 3 - 1)*(-2*i +
{ "pile_set_name": "DM Mathematics" }
be the third derivative of -q**6/120 - 7*q**5/60 - q**4/24 - 2*q**3/3 - 2*q**2. Let r be b(-7). Let -2/7*i**r - 2/7*i**2 + 2/7*i + 2/7 = 0. What is i? -1, 1 Let m be (-1 - -3)/1 - -1. Factor -j**5 - 1 - 2*j**2 - 2*j**3 + 4*j - 2*j + m*j**4 + j. -(j - 1)**4*(j + 1) Let v(u) be the second derivative of 0*u**2 + 0 - 3*u + 0*u**5 + 1/60*u**6 + 0*u**4 + 0*u**3. Factor v(a). a**4/2 Let a(k) be the third derivative of k**8/3696 + k**7/462 + k**6/132 + k**5/66 + 5*k**4/264 + k**3/66 + 6*k**2. Factor a(d). (d + 1)**5/11 Let v(n) be the first derivative of 3 + 1/9*n**3 + 0*n - 1/6*n**2. Factor v(k). k*(k - 1)/3 Let o(r) be the second derivative of 0*r**2 + 0 - 1/70*r**5 - 1/7*r**3 + 8*r - 2/21*r**4. Factor o(t). -2*t*(t + 1)*(t + 3)/7 Let m = -6 - -8. Let h be (1 - 0) + m + -1. Factor -i**2 + 4*i + 0*i**h + 3*i**2. 2*i*(i + 2) Let x(p) be the second derivative of p**4/36 + p**3/9 + 22*p. Solve x(z) = 0. -2, 0 Let k(a) = -9*a**3 - 5*a**2 + 4*a + 5. Let y(o) = -4*o**3 - 2*o**2 + 2*o + 2. Let x(c) = -2*k(c) + 5*y(c). Solve x(d) = 0 for d. -1, 0, 1 Let x(v) be the third derivative of 0*v + 2*v**2 + 1/330*v**5 + 0 + 0*v**3 - 1/660*v**6 + 0*v**4. Determine o so that x(o) = 0. 0, 1 Factor -3/5*z**4 + 0 - 3/5*z**3 + 3/5*z**2 + 3/5*z. -3*z*(z - 1)*(z + 1)**2/5 Let n(i) be the third derivative of -i**11/1663200 - i**10/756000 - i**5/30 + i**2. Let a(m) be the third derivative of n(m). What is t in a(t) = 0? -1, 0 Let w(a) be the first derivative of 5*a**6/18 + a**5/5 - a**4/6 + 11. Factor w(n). n**3*(n + 1)*(5*n - 2)/3 Let n(z) be the third derivative of z**5/240 - 12*z**2. What is f in n(f) = 0? 0 Let u(a) = -3*a**3 - 6*a**2 + 6*a - 3. Let l = -23 + 16. Let r(f) = -f**4 - 6*f**3 - 13*f**2 + 13*f - 7. Let h(m) = l*u(m) + 3*r(m). Factor h(k). -3*k*(k - 1)**2*(k + 1) Suppose -5*m = -2*g - 6 - 12, m - g - 6 = 0. Factor 4*n - 11*n**2 - 2*n**4 - 4*n**3 + 10*n**m + 3*n**2. -2*n*(n - 1)*(n + 1)*(n + 2) Solve 6/7*b**2 - 1/7*b - 1/7*b**5 - 3/7 + 2/7*b**3 - 3/7*b**4 = 0 for b. -3, -1, 1 Let p be (5/210)/((-6)/(-7)). Let d(l) be the third derivative of 1/90*l**5 + 0 + 1/180*l**6 + 0*l - 1/9*l**3 - p*l**4 - l**2. What is x in d(x) = 0? -1, 1 Suppose 0 = 3*w - 7*w + 8. Let l = w + 1. Factor 4*j**5 + 3*j**5 - 4*j**l - 5*j**5 + 2*j. 2*j*(j - 1)**2*(j + 1)**2 Let y = 60 - 57. Let b(n) be the second derivative of 0 + 1/4*n**4 + 4*n - 2*n**y + 6*n**2. Find j such that b(j) = 0. 2 Let h(g) be the third derivative of -g**9/15120 + g**8/6720 + g**7/1260 - g**4/24 + 4*g**2. Let l(m) be the second derivative of h(m). Let l(t) = 0. What is t? -1, 0, 2 Let r be 1*(2 - 0)/8. Find o such that r*o**3 + 1/4*o + 0 - 1/2*o**2 = 0. 0, 1 Let g(c) be the first derivative of -c**6/6 + c**5/5 + 3*c**4/4 - 5*c**3/3 + c**2 + 13. Factor g(l). -l*(l - 1)**3*(l + 2) Suppose 72 = -2*c + 6*c. Let p be (-3)/c*(-6)/2. Factor 1/2*a**2 - 1/2 - p*a**3 + 1/2*a. -(a - 1)**2*(a + 1)/2 Let u be ((-3)/(-6))/(90/144). Let a be 0/(1/(3/3)). Solve -2/5*b**2 - 2/5*b**4 - u*b**3 + 0 + a*b = 0 for b. -1, 0 Let t be (5 - 5)/(2/2). Suppose t = -3*m - 3 + 6, 2*w = -m + 5. Solve -2/3*h**w - 2/3*h**3 + 2/3*h + 0 + 2/3*h**4 = 0 for h. -1, 0, 1 Factor -18*p**2 - 10*p - 3*p**3 - 24 + 0*p - 26*p. -3*(p + 2)**3 Let z be -23 + 29 + -6*1. Factor -1/5*f**3 + 0 + z*f - 1/5*f**5 + 0*f**2 - 2/5*f**4. -f**3*(f + 1)**2/5 Let z(b) = b**4 + b**2 - b - 1. Let p(f) = 2*f**4 + 5*f**3 - 13*f**2 + 3*f + 3. Let a(k) = -p(k) - 3*z(k). Factor a(c). -5*c**2*(c - 1)*(c + 2) Let z be 4 - 8 - 16/(-4). Let h(m) be the first derivative of z*m - 2 - 1/12*m**3 - 1/8*m**2. Factor h(b). -b*(b + 1)/4 Let s = 586/5 - 114. Suppose -104/5*g**2 - s*g + 266/5*g**4 + 0 + 294/5*g**5 - 116/5*g**3 = 0. Calculate g. -1, -2/7, 0, 2/3 Let j(n) be the third derivative of 0*n + 4*n**2 + 1/8*n**4 - 1/80*n**5 - 1/2*n**3 + 0. Suppose j(r) = 0. What is r? 2 Let v be (4/14)/(-1*(-1 + 0)). Solve 0*m + 0*m**2 + 0*m**3 - v*m**4 + 0 = 0 for m. 0 Let g(k) be the third derivative of -k**7/105 - k**6/20 + k**5/15 + k**4 + 8*k**3/3 - 6*k**2. Solve g(q) = 0 for q. -2, -1, 2 Let b(o) be the second derivative of 0*o**2 + 0 + o + 1/6*o**4 + 1/3*o**3. Factor b(l). 2*l*(l + 1) Let n(c) = 4*c**4 - 14*c**3 + 4*c**2 + 10*c - 10. Let f(y) = -y**3 - y - 1. Let s(x) = -2*f(x) + n(x). Determine q so that s(q) = 0. -1, 1, 2 Let s = 2 + 0. Factor 2*t**2 + 4*t**4 + 0*t**5 - 6*t**3 - s*t**5 + 2*t**4. -2*t**2*(t - 1)**3 Let r = -29532 + 118715/4. Let b = r - 146. Suppose 3/2*v**2 + 0 - b*v - 3/4*v**3 = 0. Calculate v. 0, 1 Let n(u) = -9*u**3 - u**2 - 3. Let w(h) = -10*h**3 - 4. Let i(l) = 4*n(l) - 3*w(l). Find a, given that i(a) = 0. -2/3, 0 Factor 6*w**4 + 16*w**2 + 2*w**2 - 9*w**4 + 24*w + 9. -3*(w - 3)*(w + 1)**3 Let g be (8 + 4/(-2))/1. Suppose 4*u - 7*u = -g. Factor -4/5*r + 0 - 2/5*r**4 + 4/5*r**3 + 2/5*r**u. -2*r*(r - 2)*(r - 1)*(r + 1)/5 Factor 0 + 4/9*w**3 - 4/3*w + 8/9*w**2. 4*w*(w - 1)*(w + 3)/9 Suppose 6 - 3 = 3*o - 3*a, 4*o + 4*a = -4. Solve o*i + 3/4 - 3/4*i**2 = 0. -1, 1 Let t(x) be the first derivative of -5*x**4/4 + 5*x**3/3 + 5*x**2/2 - 5*x + 64. Factor t(w). -5*(w - 1)**2*(w + 1) What is f in -1/3*f**3 + 2/3*f + 0 - 1/3*f**2 = 0? -2, 0, 1 Suppose 0 = i - 5 - 1. Factor -x - 3*x + 2*x + i*x**2. 2*x*(3*x - 1) Suppose -3*a + 1 = -11. Let w(s) be the second derivative of -1/2*s**2 - 1/80*s**5 + 0 + 1/16*s**a + 3*s + 0*s**3. Suppose w(v) = 0. What is v? -1, 2 Let k(q) be the third derivative of 9*q**2 + 1/3*q**4 + 4/15*q**3 - 7/25*q**7 + 0 + 21/40*q**8 + 0*q - 37/150*q**5 - 281/300*q**6. What is f in k(f) = 0? -1/3, -2/7, 2/7, 1 Let h(p) = 11*p - 52. Let b be h(5). Factor -1/5*a**2 + 0 - 3/5*a**4 + 3/5*a**b + 0*a + 1/5*a**5. a**2*(a - 1)**3/5 Let c(f) be the second derivative of 0 - 13/14*f**3 - 9/14*f**2 + 9*f - 1/7*f**4. Factor c(y). -3*(y + 3)*(4*y + 1)/7 Suppose -3*c - 7 = -1. Let h be 0 + 5/c + 3. Solve -1/2*o**4 + o**3 - h*o**2 + 0*o + 0 = 0. 0, 1 Let r(f) be the second derivative of 1/8*f**2 + 1/80*f**5 + 9*f - 1/48*f**4 + 0 - 1/24*f**3. Factor r(o). (o - 1)**2*(o + 1)/4 Factor -3/5*f + 0 - 3/5*f**2. -3*f*(f + 1)/5 Let j(z) be the first derivative of z**7/945 - z**5/270 - 3*z**2/2 - 2. Let l(s) be the second derivative of j(s). Factor l(d). 2*d**2*(d - 1)*(d + 1)/9 Suppose 1/9*r**2 + 5/9*r + 4/9 = 0. Calculate r. -4, -1 Let x(u) be the third derivative of u**6/240 - u**5/60 - 13*u**2. Solve x(b) = 0. 0, 2 Let h(y) be the third derivative of -5*y**8/336 + y**6/6 - y**5/6 - 5*y**4/8 + 5*y**3/3 + 13*y**2. Find b, given that h(b) = 0. -2, -1, 1 Let h(m) be the third derivative of 2*m**7/105 - 2*m**5/15 + 2*m**3/3 + 16*m**2. Factor h(v). 4*(v - 1)**2*(v + 1)**2 Let m be (-24)/(-2) + 3 + 0. Let d**3 - 15 + m - d = 0. What is d? -1, 0, 1 Factor -2/5*f**5 + 0 + 0*f**2 + 4/5*f**3 + 2/5*f**4 + 0*f. -2*f**3*(f - 2)*(f + 1)/5 Let x(j) be the second derivative of -j**7/84 - j**6/20 - j**5/20 - 5*j. Determine n, given that x(n) = 0. -2, -1, 0 Suppose -5*x + 15 = -2*x. Suppose 0 = -0*a - x*a + 15. Factor -m - 2*m + 4 + a*m**2 - 3*m - 1. 3*(m - 1)**2 Suppose -2*c - 4 = -5*r, 0*r = 3*r - c - 3. Find j, given that 6/7*j**r + 2/7 + 2/7*j**3 + 6/7*j = 0. -1 Factor 625/2 + 135/2*d**3 + 1125/2*d + 675/2*d**2. 5*(3*d + 5)**3/2 Solve 6*r**3 + 2*r**5 + 7*r**3 - 15*r**3 = 0 for r. -1, 0, 1 Suppose 36 = 33*t - 36*t. Let v be 5/6 + 2/t. Factor -6 - v*q**2 + 4*q. -2*(q - 3)**2/3 Let b(o) be the second derivative of -o**4/12 - 4*o**3/3 + 3*o**2/2 + 2*o. Let j be b(-8). Factor -9*s**j - s**2 + 10*s**3 + 3*s**2 - s**4. -s**2*(s - 2)*(s + 1) Let n be 21/(-12) + 4/16. Let l = 2 + n. Factor l*m**2 + 1/2*m + 0. m*(m + 1)/2 Factor -15*l**3 + 16*l + 83*l**3 - 20*l**4 + 436*l**2 - 500*l**2. -4*l*(l - 2)*(l - 1)*(5*l - 2) Factor 0*w**2 + 0*w**3 + 0*w + 0 + 8/5*w**4 + 4/5*w**5. 4*w**4*(w + 2)/5 Suppose 0*t - 4*a - 8 = -t, 0 = 3*t + 2*a + 18. Let q(b) = b**3 + 3*b**2 - 4*b + 3. Let y be q(t). What is f in y*f**5 - 4*f**5 + 3*f**3 - 2*f**4 - 4*f**3 = 0? -1, 0 Let m(h) be the third derivative of h**8/70560 + h**7/4410 + h**6/630 - h**5/60 - 3*h**2. Let n(k) be the third derivative of m(k). Suppose n(z) = 0. What is z? -2 Let g = -11 - -13. Suppose -g*z = 2*z - 8. Factor -3/4*p - 1/4*p**3 + 3/4*p**z + 1/4. -(p - 1)**3/4 Let x(g) be the third derivative of -2*g**2 - 1/105*g**7 + 0*g**6 + 0 - 1/3*g**3 + 0*g**4 + 1/15*g**5 +
{ "pile_set_name": "DM Mathematics" }
2 at least q? True Let z(j) = -10*j**3 + 11*j**3 + 6 + 4*j**2 + 5*j**2 + 8*j. Let p be z(-8). Suppose -p*o = -3*o + 36. Which is greater: -13 or o? o Let w = -1.79 - -0.19. Let x = -1.49 - w. Let l = 1.89 + x. Which is smaller: -0.4 or l? -0.4 Let j = 971.1 - 971. Which is smaller: j or 3/64? 3/64 Let u = 0.109 + 0.041. Are u and -0.4 nonequal? True Let j(w) = w**3 - 7*w**2 + 7*w - 5. Let h be j(6). Suppose -3*b - 24 + 20 = l, 5*l = -3*b - 8. Is h greater than b? True Let h(b) = 7*b + 21. Let k be h(4). Which is bigger: 50 or k? 50 Let u(o) = o**2 - 6*o - 4. Let y(f) = f**2 - 6*f - 4. Let c(h) = -2*u(h) + 3*y(h). Let g be c(9). Is 24 greater than g? True Suppose -5*k + 2*k = -4*q - 2127, -5*q + 2*k = 2650. Let w = q + 2648/5. Is w not equal to 3? True Let n = 37 + -69. Let l = 36 + n. Is 7 at most as big as l? False Suppose 91*r - 10 = 81*r. Is -1/7 less than or equal to r? True Let p = -514 - -563. Which is smaller: 48 or p? 48 Let s(h) = h + 7. Let f be s(-7). Let x be (8 + -5)/((-6)/(-16)). Let p be x/10 + 27/(-15). Is f less than p? False Let b be -140 - 8/3*3/(-2). Is b greater than or equal to -674/5? False Let m = 238 - 234. Do m and 54/11 have the same value? False Let o = -72 + 84. Let f be (o/(-20))/((-1)/15). Is f not equal to 10? True Let j be -5*8376/(-40) - 13. Which is greater: j or 1033? j Let u(n) = -3*n**3 + 1. Let j be u(-1). Suppose -12 = j*f - 2*f. Let a = f + -1. Is a bigger than -2? False Let t = -0.099 - -0.099. Which is smaller: t or 190? t Let t(x) = -x**2 + x + 40. Let p be t(0). Let l be (1 + 2)/(12/p). Which is smaller: l or 9? 9 Let q be 2/6 + (-1342)/4158. Which is smaller: -1 or q? -1 Let m = -12344851 - -18060519746/1463. Let b = 35/19 - m. Which is smaller: b or 0.1? b Let t be (-278)/60 - (232/(-48) - -5). Which is smaller: t or -7? -7 Let h = 101 + -91.4. Let o = 9.4 - h. Is o bigger than 0.12? False Suppose 2*b - 5*r + 4 = 0, -b - 2 = -0*b + r. Let x(y) = -y + 7. Let c be x(3). Suppose 0 = -c*a - 1 - 11. Is a less than or equal to b? True Let p = 4.96 + -1.51. Let q = p + -3.6. Is -0.1 != q? True Suppose 0 = -101*f + 21*f + 80. Is f greater than -6/221? True Let h = -23/14 - -15/7. Let j = 2 - 6. Which is greater: h or j? h Let v = 37 + -38. Let d be v/((-102)/(-21) + -5). Do 17/3 and d have different values? True Suppose -20*x = -22*x + 32. Which is bigger: x or 10? x Let o = 34 + -33.6. Are o and -22 non-equal? True Let c be (-4)/10 - (-188)/20. Let x(q) be the first derivative of -q**2/2 + 12*q + 6. Let w be x(c). Is 1 bigger than w? False Let k = -698 + 585. Is k at least as big as -1250/11? True Let a = -3.89 - 0.11. Let q = a + -16. Which is smaller: 0 or q? q Let g be 30/(-14)*-1 - (-8 + 10). Suppose 8*x + 2*x = 4*x. Which is smaller: x or g? x Let p be -5 + (-17)/(34/(-12)) + -2. Suppose 0 = -5*b + 2*f + 8, -3*b - 3*f + 9 = 21. Which is smaller: b or p? p Let w(y) = -66*y**2 - 464*y - 15. Let h be w(-7). Is h <= 31? True Suppose -4*f - 84 = -1788. Let i = f - 1719/4. Which is bigger: 0.1 or i? 0.1 Suppose 3 = -2*w + 11. Suppose z + 3*r + w = -3, -r = 0. Let i be (2/(-120))/(z/(-14)). Is -1 less than or equal to i? True Let f(h) be the third derivative of h**6/120 + h**5/12 + h**4/24 + 2*h**3/3 - 24*h**2. Let a be f(-5). Is a less than or equal to -5/28? True Let f = -2/87 + -56/87. Let w = 459/713 + -1704079/9982. Let a = w - -170. Which is smaller: a or f? f Suppose 4*n - 38 = -2*i, 3*n - 24 = n + 4*i. Let p be (-3)/((-75)/n) - 994/10. Which is bigger: p or -100? p Let i = -257/1232 + 3/112. Let m = -17 + 21. Suppose 4 = -3*w + 4*n + 8, 0 = -3*w - m*n - 4. Does i = w? False Suppose -5*w - 4 - 8 = 4*z, 0 = 2*z - 5*w - 24. Suppose 5*s = 3*r + 42, -24 - 4 = z*r - 4*s. Let k = r - -20. Which is smaller: 1 or k? 1 Let k = 55.18 - 24.72. Let r = k + 0.54. Is r less than or equal to -0.1? False Let v = 2/4635 - -222458/50985. Is v < 3? False Let t be 6 + 488/(-48) + -1 + 5. Which is smaller: 103 or t? t Let r = 98 - 98. Let j be 32/48 - (r - 16/(-33)). Let q = 0.9 + -1. Are j and q non-equal? True Let h = 33 - 295/9. Let t be 1/(2*3/(-6)). Does t = h? False Let m = 0.0518 - 0.0318. Which is bigger: -2/129 or m? m Let u be (16/(-200) + 0/2)*1. Let h(l) = l**2 - l - 1. Let k be h(1). Is k at least as big as u? False Let a = -21 + -6. Which is bigger: 0.06 or a? 0.06 Let s = -4212 - -25331/6. Which is bigger: -0.2 or s? s Let l = -8 - -10. Let v(q) = 4*q. Let c be v(l). Is 8 <= c? True Let l be ((78/(-4))/13)/((-6)/212). Let x = l - 56. Which is smaller: -20/13 or x? x Let h = 56 + -38. Suppose -80 = -716*c + 712*c. Is h > c? False Let m be 1*12/(13 + -11). Let i(o) be the third derivative of -o**5/60 + 7*o**4/24 - 7*o**3/6 + o**2. Let u be i(m). Is u smaller than -1? False Suppose 3*d = -3*d. Suppose 5*c + 4 + 11 = d. Let k = -3 - c. Is k >= 0? True Let g be (-11)/((-340)/(-32)*4). Which is smaller: 0 or g? g Let o(g) = -g**2 + 4*g + 1. Let q be 13/(-39) - (-14)/6. Let u be o(q). Suppose 2*k + 57 = u*k. Is k equal to 19? True Suppose -3 = z - 8. Let c(s) = 2*s. Let h be c(1). Suppose z*q - 27 = 2*i + h, 5*i - 3*q + 25 = 0. Are -2/9 and i equal? False Suppose 3*k - k - 110 = -2*t, -5*t - 124 = -2*k. Let s = k - 53. Is s less than or equal to 60/13? True Suppose -7*s = 7*s + 14. Let p(j) = -3*j**2 - 3*j - 2. Let r be p(s). Let o(z) = -z. Let w be o(4). Is w <= r? True Let r be 210/(-18) + 4 - -7. Which is greater: 0.009 or r? 0.009 Let k(q) = -q**3 + 2*q**2 + 4*q - 4. Let f be k(3). Let o = -16 + 33. Let l = o + -6. Is f at least l? False Suppose 2*t + 34 = 4*x, 8 = t - 4*x + 25. Suppose -2*b = -b + 19. Are t and b nonequal? True Let z = 319/2205 - 6/49. Let u(c) = -c**3 - 16*c**2 - 18*c - 44. Let q be u(-15). Which is smaller: q or z? z Let o = -8485 - -25676/3. Let f = 73 - o. Which is bigger: 52 or f? 52 Let m = -33253/9 - -3686. Which is smaller: m or -9? -9 Let x = -25395/17 - -1495. Do x and 2 have different values? True Let b(i) = -i + 11. Let r be b(0). Let q(x) = 10*x**2 + x**3 + 17*x + 74 + 47 - 101. Let k be q(-8). Are k and r nonequal? True Suppose 10*q = 3*q + 21. Suppose -244 = -0*f + 4*f + 2*c, 4*c + 188 = -q*f. Which is bigger: f or -61? f Let s be (-1 + 0)/((-4)/(-2)). Let o = 0.597 + 0.103. Is o greater than or equal to s? True Let x = 80 + -80.1. Which is smaller: x or -7/12? -7/12 Suppose 0 = i - 2*o + 7, -o + 0 - 7 = -4*i. Let y be i*(0 + (-5 - -3)). Let d be y/(-33) - 292/(-88). Which is bigger: 3 or d? d Let d be (-3)/(-142)*(-5)/((-105)/(-14)). Let l = 7 - 6. Which is greater: d or l? l Suppose 234 = 5*q - 116. Let g = q + -68. Let v be 4/(-6) + 16/6. Is g < v? False Let d = 19 + -19. Suppose -5*b + 0*b + 19 = 4*y, 5*y - 2*b - 32 = d. Suppose 2*k = 3*k + y. Is k at most as big as -7? False Let b = -299 - -204. Let g = 92 + b. Which is bigger: -1/4 or g? -1/4 Let g = -758 - -21981/29. Let f(d) = d**2 + 5*d - 6. Let r be f(-6). Which is greater: r or g? r Let w = 129/500 + -1/125. Let g = -4 - 1. Which is smaller: g or w? g Let a = -2.5 - -2.4. Let k(s) = -s**3 - 4*s**2 + 6*s + 3. Let o be k(-5). Let g be 3/9 + o/15. Which is greater: g or a? g Let w be (-2466)/(-18819)*(-3)/(-20). Let b = w + 2/205. Is -1 > b? False Let m be -6 + (2 - -1) - -31. Let k = m - 49. Which is greater: k or -23? k Let l = 97.41 - 97. Let u = l - 0.28. Is -1 greater than u? False Let i(f) = -f**3 - 5*f**2 - 4*f + 2. Let y be i(-4). Suppose y*j - 4*j + 38 = 0. Let o = 18 - j. Which is greater: o or 1/21? 1/21 Let h(f) = f**2 + f. Suppose 3*p - 3 - 3 = 0. Let u be h(p). Suppose -5*o = -5*s - 90, u = s - 3*s. Which is smaller: 1 or o? 1 Let w(i) = i**3 - 6*i**2 + 9*i - 4. Let x be w(4). Is 5/19 greater than or equal to x? True Suppose 15 = 4*z + 5*f, -5*f = 3*z - 7*z + 25. Suppose 4*p + 11 = -z*t + p, -19 = 4*t - p. Suppose 2*v = 7*v + 20. Is t at most as big as v? True Let v = -502/15 - -1832/15. Which is smaller: 89 or v? v Suppose 5*o + 11 = 1. Let t be 1278/(-30) + o/10. Let w = t - -42. Which is bigger: w or -0.2? -0.2 Let r be ((-6)/(-4))/(-3) - 25/(-10). Suppose 0 = 4*s - q - 3, -q - 1 = -r*q. Let k = 35398/75 + -472. Which is smaller: k or s? k Let a = 0.143 + 83.857. Which is smaller: a or -3? -3 Let s be 1/(-5) + 10 + 5316/(-20). Does -256 = s? True Let q = 4 - 6. Let l be 4 + (3 + -19 - q). Which i
{ "pile_set_name": "DM Mathematics" }
2*sqrt(1539) + 5)))**2. -7200*sqrt(19) + 616000 Simplify -1*((sqrt(13) - -2*(sqrt(13) - sqrt(117))) + sqrt(13) + (1*sqrt(117))**2)*-2. -4*sqrt(13) + 234 Simplify (sqrt(22) + (sqrt(22)*-3 - sqrt(22)))/sqrt(11) + 5 - 6*(sqrt(2) + (2 + sqrt(2))*5). -39*sqrt(2) - 55 Simplify ((-1*(-2 + sqrt(2057)) + (sqrt(2057) - (sqrt(2057)*-1 + sqrt(2057))*5))*1 + 1)**2. 9 Simplify 3 + (sqrt(66) + (-1*sqrt(66) - sqrt(66) - sqrt(66))*1)/(sqrt(36)/(-2*sqrt(6)))*1*4. 3 + 16*sqrt(11) Simplify 1*((5 + 5*sqrt(468))**2 + sqrt(1300)*1 + 5). 310*sqrt(13) + 11730 Simplify (sqrt(4)/sqrt(2) + 5 - (1 + sqrt(2) + -2)) + -4. 2 Simplify -4 + -4 + (-2*sqrt(2) - sqrt(2)) - sqrt(6)/(sqrt(15)/(sqrt(20)/sqrt(4))). -8 - 4*sqrt(2) Simplify (sqrt(36)/(5*(sqrt(3) + sqrt(108))))/((sqrt(162)/sqrt(3))/sqrt(9) - (sqrt(216) + 2*sqrt(216) + sqrt(216))). -sqrt(2)/805 Simplify 4 + (-3*sqrt(1700)*2 + (-5*(sqrt(1700)*-2 - sqrt(1700)) - sqrt(1700)) + -2*(sqrt(1700) + sqrt(1700)*-2) + 3)**2. 600*sqrt(17) + 170013 Simplify -1*sqrt(425) + 2 - (-6*-2*sqrt(612))**2. -88126 - 5*sqrt(17) Simplify (-4*sqrt(162)/sqrt(6) - sqrt(27))/(-4*3*sqrt(9)). 5*sqrt(3)/12 Simplify (-5*(2*sqrt(99) + sqrt(99)) + sqrt(99)*-2*-2)/((sqrt(90)*-2*5)/sqrt(10)). 11*sqrt(11)/10 Simplify (-1*sqrt(84)/sqrt(3))**2 + 4 + 3 + sqrt(21)/sqrt(3). sqrt(7) + 35 Simplify (-4 + 3 + -5 + -6*(1 + 1 + sqrt(208)))**2. 864*sqrt(13) + 7812 Simplify (-2 + 3*(-1 + sqrt(931))*-3)**2*1. -882*sqrt(19) + 75460 Simplify ((3*sqrt(1296)*-1)/(((2*sqrt(36))/sqrt(6))/sqrt(2)))**2. 972 Simplify (sqrt(294)/(sqrt(14)/sqrt(2)))/(sqrt(60)/sqrt(90)) + -2. -2 + 3*sqrt(7) Simplify ((sqrt(68))**2 + -2 - (sqrt(2448) + 1 + sqrt(17))**2) + sqrt(17) + 1 + 0 + sqrt(17) + -2 + sqrt(17) + (sqrt(68)/sqrt(4))**2. -2792 - 23*sqrt(17) Simplify (-5 + -1 + sqrt(425))**2*-3 + (sqrt(425) + -1 + -1)**2 + -2. -956 + 160*sqrt(17) Simplify ((sqrt(48)*-2)**2 - (1 + (sqrt(3) + 1)**2))*6*2. -24*sqrt(3) + 2244 Simplify (1*(sqrt(1573) + -2))**2 + sqrt(1573) - ((sqrt(1300) - (sqrt(1300) + 1)**2) + (sqrt(117) + 1)**2). -29*sqrt(13) + 2760 Simplify (((sqrt(55) + 3*sqrt(55))*5 + sqrt(55))/(sqrt(10)/sqrt(8)))**2. 19404 Simplify (6*sqrt(130)*1*6)/((-2*sqrt(2450))/sqrt(5)). -18*sqrt(13)/7 Simplify (sqrt(91) + -1*(sqrt(91)*3 - sqrt(91)) + sqrt(91) + sqrt(91))/(sqrt(686)/sqrt(2)). sqrt(13)/7 Simplify -3 + 6*(sqrt(363) + ((sqrt(363) - (0 + sqrt(363))*3 - sqrt(363))**2 - sqrt(363)) + (sqrt(363) - (0 + sqrt(363)) - sqrt(363))*5). -330*sqrt(3) + 19599 Simplify -2*(-3 + (sqrt(891) - (sqrt(891) + -2 + (sqrt(891) - (1 + sqrt(891) + sqrt(891)))) - (-2 + sqrt(891) + sqrt(891) + 0)) + 3). -10 + 18*sqrt(11) Simplify -3 + (-5*(sqrt(2299) + 4 + sqrt(2299) - sqrt(2299))**2 - (sqrt(2299) - (0 + -4 + sqrt(2299)))**2). -11594 - 440*sqrt(19) Simplify ((3*-1*sqrt(308) - sqrt(308))/((sqrt(88)*1)/sqrt(8) + sqrt(11)))**2. 112 Simplify -2 + sqrt(80) + (-1 + sqrt(80) - sqrt(80)) - sqrt(20)/((sqrt(144)/sqrt(4))/sqrt(9)). -3 + 3*sqrt(5) Simplify (-2*(sqrt(2450) + -1 + 2 + 5))**2. 1680*sqrt(2) + 9944 Simplify (4*(sqrt(768)*-2 + sqrt(768) - sqrt(12)))/(sqrt(768)/sqrt(12) + sqrt(64) + sqrt(64) + -1*sqrt(64)). -9*sqrt(3)/2 Simplify (-2*(2*sqrt(133) + sqrt(133))*-2)/(-1*-4*(sqrt(7) - (sqrt(7) - sqrt(252)))). sqrt(19)/2 Simplify (1*sqrt(133)*-5 - (sqrt(133) - sqrt(133)*2)*-1)/((1*sqrt(84)*-2)/sqrt(12)) + -3. -3 + 3*sqrt(19) Simplify ((1 + 1 + (0 + sqrt(275))*-6)*5)**2. -3000*sqrt(11) + 247600 Simplify (1*(sqrt(396) - sqrt(44)) - (sqrt(44) - (sqrt(484)/sqrt(99) + sqrt(44) - sqrt(44))))/((-1*sqrt(160))/sqrt(10)). -2*sqrt(11)/3 Simplify (0 + (1 + 0 + sqrt(1100) - (-1 + sqrt(1100)*-1)) + -4)**2. -80*sqrt(11) + 4404 Simplify ((sqrt(119) - (sqrt(119) + (sqrt(119)*1 - sqrt(119)) - sqrt(119))*-3) + sqrt(119) + sqrt(119) + -2*sqrt(119)*3)/(6*sqrt(175)*-2) + 2. sqrt(17)/20 + 2 Simplify (1*(-2*sqrt(832) - (-3 + sqrt(13))*6))**2. -792*sqrt(13) + 6616 Simplify (sqrt(91)*2*-4)/((sqrt(7) + sqrt(28))*5). -8*sqrt(13)/15 Simplify ((sqrt(312)/(sqrt(12)*1))/sqrt(2) - (5 + -1 + sqrt(52)/sqrt(4) + sqrt(13))) + -3. -7 - sqrt(13) Simplify 5*(sqrt(6) - (sqrt(600) - sqrt(600)*-5))/(2*1*sqrt(3)). -295*sqrt(2)/2 Simplify 2 + 1*(sqrt(1700) + 0 - (2*sqrt(2057) - sqrt(17)) - ((-1 + sqrt(153) + sqrt(153))*-2 + sqrt(153))). -2*sqrt(17) Simplify 1*-4*((-5 + sqrt(1088)*-2 + 1*sqrt(1088) + -1)*-6)**2. -161856 - 13824*sqrt(17) Simplify (sqrt(176)*4 + -3 + (3 + sqrt(176))*6 + -3)*-3. -120*sqrt(11) - 36 Simplify (-5 + ((sqrt(77) + 2*sqrt(77))*-4)/sqrt(7))*5. -60*sqrt(11) - 25 Simplify -1 + ((-1 + sqrt(108))*-1 - (sqrt(3) + sqrt(9)/sqrt(3)*3 + -2)). -10*sqrt(3) + 2 Simplify -3*(-5*(sqrt(65)*1 + sqrt(65)) + sqrt(65))/(sqrt(5)*-1*-1). 27*sqrt(13) Simplify -2*(((-2*sqrt(425) + 0 - sqrt(425))**2 - -3*(sqrt(425) + 1)) + -5 + (sqrt(425) - (3 + (1*sqrt(425) - sqrt(425)))**2)). -7628 - 40*sqrt(17) Simplify 3 + (3*-4*-1*sqrt(1300)*2 + 1)**2. 480*sqrt(13) + 748804 Simplify (((sqrt(104) - (sqrt(104) - (-1*sqrt(104)*-1 + sqrt(104))))/sqrt(8))**2 - (sqrt(13) - -5*sqrt(208) - (sqrt(52)/sqrt(4)*3 + sqrt(13)))) + 4. -17*sqrt(13) + 56 Simplify -3*((sqrt(187) - (sqrt(187) - sqrt(187)*1))/sqrt(11) + (sqrt(68)/sqrt(64))**2 - (1 + (sqrt(119)/sqrt(343))**2)). -3*sqrt(17) + 669/784 Simplify 4 + -2*(sqrt(8) - (sqrt(512) + 0)) + -5 + -2. -3 + 28*sqrt(2) Simplify ((4 + sqrt(12)/sqrt(4))**2 - (sqrt(15)/sqrt(5) + 4)) + (sqrt(96)/sqrt(8))**2*4. 7*sqrt(3) + 63 Simplify -4 + (sqrt(24) + 2*(sqrt(24) - sqrt(168)/sqrt(7)) + sqrt(24))/(sqrt(192)*3) + 1. -3 + sqrt(2)/6 Simplify ((-5 + (sqrt(176) - (sqrt(176) + -1)) + sqrt(176) - 2*(sqrt(176) + -1)) + 3)**2. -8*sqrt(11) + 177 Simplify 4 + sqrt(7) + (-5 + sqrt(1008))**2 + sqrt(7) - (-2 + (sqrt(567)*-3)**2). -4064 - 118*sqrt(7) Simplify ((2 + 2*sqrt(325)*4 + 0)*5*-3)**2. 36000*sqrt(13) + 4680900 Simplify ((3 + sqrt(2057) + 1)*2 + (sqrt(2057) - -2*sqrt(2057)*2) + -4)**2. 616*sqrt(17) + 100809 Simplify 5 + sqrt(300)*-2 + -1 - (2*-2*(sqrt(300) + 0 + sqrt(300)))**2. -19196 - 20*sqrt(3) Simplify 4 + (-2*(sqrt(704)*2 - sqrt(704)))/(1*sqrt(36)/(sqrt(36)/sqrt(4))). -8*sqrt(11) + 4 Simplify ((2*sqrt(245))/sqrt(7))/(-3*sqrt(28)). -sqrt(5)/3 Simplify (1 + sqrt(425) + sqrt(425) + -3 - (-4 + (-1 + sqrt(425) + sqrt(425) - sqrt(425)) + sqrt(425)))**2*6. 54 Simplify 1 + -3 + (sqrt(12)*2 + (sqrt(147) + -2)**2)*6. -144*sqrt(3) + 904 Simplify (sqrt(2499) + sqrt(2499) + sqrt(2499)*-1)/(sqrt(3) - sqrt(9)/(sqrt(3) - (sqrt(12) + sqrt(3))))*-2. -28*sqrt(17)/3 Simplify (1*sqrt(12)*4)/(sqrt(4) + (sqrt(576) - sqrt(576)*-4) + sqrt(4)). 2*sqrt(3)/31 Simplify (5*(sqrt(60) + -3*sqrt(60) + sqrt(60))/(sqrt(432) + (-4*sqrt(432) - sqrt(432)) + sqrt(432)))**2. 125/324 Simplify (0 + sqrt(891) + 5 + 1 + sqrt(176) + sqrt(11))**2. 168*sqrt(11) + 2192 Simplify (-1*sqrt(153)*-2*-3)/(sqrt(27)/(sqrt(12)/sqrt(4)) - 6*(sqrt(9) + sqrt(9)*-1)). -6*sqrt(17) Simplify ((sqrt(209) - sqrt(209)*-1)*2)/(sqrt(1100) - -4*sqrt(1100)). 2*sqrt(19)/25 Simplify ((6*(sqrt(21) + sqrt(21) + 2*(-1*sqrt(21) + sqrt(21)) - sqrt(21)))/(2*sqrt(847)*-1))**2. 27/121 Simplify -5 + 4 + (1 + -1 + sqrt(288) + sqrt(288) + sqrt(288) + -1)*-6. -216*sqrt(2) + 5 Simplify (-1 + sqrt(44)/(sqrt(4)*2) - sqrt(77)/(sqrt(7) + sqrt(35)/sqrt(80))) + 0. -1 - 3*sqrt(11)/10 Simplify (-3 + (sqrt(13) + 4)**2 + (sqrt(13) - (sqrt(208) - (sqrt(208) - (-2 + sqrt(208))))))*6. 30*sqrt(13) + 168 Simplify 6*(4*sqrt(3888)*-2)/(sqrt(63)/(sqrt(7)*2)*6). -192*sqrt(3) Simplify (sqrt(126)/(1*(sqrt(441) + sqrt(9))))/(3*-1*sqrt(1008) - sqrt(1008) - sqrt(1008)). -sqrt(2)/480 Simplify ((-6*-5*(sqrt(170) + sqrt(170)*2))/(5*(sqrt(20)/sqrt(2) - sqrt(10)) - (sqrt(10) + -6*sqrt(30)/sqrt(3))))**2. 5508 Simplify -6*sqrt(2)*2 + 2 - (sqrt(2) + 1 + sqrt(2))*2*6. -36*sqrt(2) - 10 Simplify (4*(2 + (sqrt(126)/sqrt(7) - sqrt(18)) + sqrt(162)*-2))**2. -1152*sqrt(2) + 10432 Simplify (((1*sqrt(120))/sqrt(2) - 5*sqrt(240))/(3*sqrt(300)*-1))**2. 9/5 Simplify ((sqrt(528) + sqrt(528)*-2)*-2)/(-4*sqrt(110)/(sqrt(30)/sqrt(3) + sqrt(10))). -4*sqrt(3) Simplify (((1*sqrt(399))/sqrt(7))/(sqrt(192) + sqrt(192)*5)*-3)**2. 19/256 Simplify (sqrt(350) + 2*(sqrt(350) + 1*sqrt(350)))/(sqrt(28)/(2*sqrt(484))). 550*sqrt(2) Simplify (6*1*2*sqrt(11))**2 + -4 + sqrt(99) + 0. 3*sqrt(11) + 1580 Simplify 4*(5 + (-1*sqrt(192))**2) + -1. 787 Simplify -1 + (sqrt(170)/(sqrt(90) + sqrt(90)*-1 + sqrt(90))*3 + 3
{ "pile_set_name": "DM Mathematics" }
4. What are the prime factors of (416/(-24))/(s/6)? 2, 13 Let w = -31 - -34. Suppose 4*k - w*k - 2 = 0. What are the prime factors of k? 2 Let y(c) = 2*c**2 + 3*c - 2. Let u be y(-3). Let r = u - 1. Suppose r*s = 4*s + 8. List the prime factors of s. 2 Let p be -2 + -22 + 5 + -3. Let f = 0 - -1. Let t = f - p. List the prime factors of t. 23 List the prime factors of 4/22 - 400231/(-143). 3, 311 What are the prime factors of (-2)/(-25) - 744018/(-1650)? 11, 41 Let g = -215 - -243. Let n(x) = 16*x + 3. Let i be n(3). Let w = i - g. What are the prime factors of w? 23 Let n = 3638 + -2175. What are the prime factors of n? 7, 11, 19 Let p(f) = 7*f**3 + 21*f**2 + 37*f - 7. Let z(d) = -10*d**3 - 32*d**2 - 56*d + 11. Let t(o) = -7*p(o) - 5*z(o). What are the prime factors of t(-9)? 3, 43 Let h(y) = 12 - 28 + 10 + 12 + y**2. Suppose 4*n + 15 = -3*x + 3*n, -4*n = 3*x + 15. List the prime factors of h(x). 31 Suppose -16*k - 4 = -12*k. Let c be (-8)/8 - (k - 6). Suppose c*m = 2*m + 108. List the prime factors of m. 3 Let c = 4197 - 2553. What are the prime factors of c? 2, 3, 137 Suppose -3*n = 3*o - 6*o + 2055, 1377 = 2*o + 5*n. What are the prime factors of o? 2, 7 Suppose 2*o + 6897 = 13*o. List the prime factors of o. 3, 11, 19 Let c be 120/3 + (1 - 4 - 0). Suppose -v - c + 98 = 0. What are the prime factors of v? 61 Let y(v) = -v**3 - 5*v**2 - 7*v - 8. Let d be y(-4). Suppose d*c - 366 = 2*m, -4*m + 133 = 5*c - 357. List the prime factors of c. 2, 47 Let c(r) = -5*r - 2. Let p = -21 - -23. Let w be c(p). List the prime factors of 23 - 3*w/(-9). 19 Suppose 0 = 26*y + 13656 - 66332. What are the prime factors of y? 2, 1013 Let t = -654 + 1194. Suppose 6*w = -0*w + t. List the prime factors of w. 2, 3, 5 Suppose -1502 = -3*l - 5*q, 0*l - 5*q = 4*l - 2001. List the prime factors of l. 499 Suppose 370*o + 952 = 372*o. What are the prime factors of o? 2, 7, 17 Suppose -4*p = 2*u - 5542, -5574 = -4*u - 5*p + 5525. What are the prime factors of u? 3, 103 Let x(o) = 2*o**2 - 5*o - 20. List the prime factors of x(13). 11, 23 Let i = -187 - -186. Suppose j = -4*j + 285. Let h = j + i. What are the prime factors of h? 2, 7 Let t = 25 + -27. Let i be 11/t*126/(-7). What are the prime factors of 11/(-33)*(0 - i)? 3, 11 Let g = 134 + -78. Let a = g - 14. Let w = a + -30. What are the prime factors of w? 2, 3 Let d(y) = 14*y**2 + 76*y - 36. What are the prime factors of d(-15)? 2, 3, 7, 47 Suppose 4*j - 1 + 34 = -3*o, -o - 17 = 2*j. Let n = j + 15. Suppose n*b = 9*b - 186. List the prime factors of b. 2, 31 Suppose 11 - 1 = 5*r. Suppose 3*k + k + 4 = -u, 2*k = 4*u - 56. Suppose u = a + r. What are the prime factors of a? 2, 5 Let o(h) = -8*h**3 + 18*h**2 + 4*h + 11. List the prime factors of o(-8). 5227 Let u = -2495 + 4075. List the prime factors of u. 2, 5, 79 Suppose -3*b = -3, 2*q + b - 10 = 5*b. Let w(z) = z**3 - 6*z**2 - 6*z + 2. List the prime factors of w(q). 3 Let i(p) = -p**2 - 3*p + 2. Let a be i(-3). Suppose 2*z - 2 - a = 0. Suppose 0*w - 25 = -w - z*u, -w - u + 20 = 0. What are the prime factors of w? 3, 5 Let b = 179 - -125. What are the prime factors of b? 2, 19 Let w = 222 - 611. List the prime factors of w/(-2) + -1 + (-11)/(-22). 2, 97 Let g(k) = k**3 + 6*k + 4. Let q(i) = -i**3 - i**2 - 6*i - 4. Let y(a) = 3*g(a) + 4*q(a). List the prime factors of y(-5). 3, 17 Suppose -11 - 23 = -w. Suppose 70 = 2*g - w. List the prime factors of g. 2, 13 Suppose v = -4*h + 12, -5*v - 16 + 76 = 5*h. Suppose -7*o + v*o = 835. What are the prime factors of o? 167 Let t = 1493 + -579. What are the prime factors of t? 2, 457 Let r = -147 - -51. Let d = 247 + r. List the prime factors of d. 151 Let l(u) = 15 + 3 - 3*u + 5 + 2. List the prime factors of l(-6). 43 Let p = 351 + 150. What are the prime factors of p? 3, 167 Suppose 17 = -5*j + 77. Suppose u = 2*y - 37 - 15, 3*u + j = 0. List the prime factors of y. 2, 3 Suppose -k + 681 = -5*n, -4*k + 0*k = 4*n - 2604. List the prime factors of k. 2, 41 Let o = -61 - -65. What are the prime factors of (o + (107 - 4))*1? 107 Suppose 0 = -2*n + 2*t + 18, 3*n = 5*t - 6 + 37. Let f(j) be the third derivative of 5*j**4/24 - 5*j**3/3 - 17*j**2. List the prime factors of f(n). 5 Let t = 46 + -44. Suppose -t*i + 7 = -1, 0 = 3*v - 2*i - 355. What are the prime factors of v? 11 Suppose 4*g + r = 1248, -2*g - 44*r + 642 = -39*r. List the prime factors of g. 311 Let n(x) = 7*x + 17. Let o(a) = -3*a - 9. Let i(w) = 6*n(w) + 11*o(w). List the prime factors of i(8). 3, 5 Let c be (0 + -99)/(0 + -1). Suppose 0 = 5*p - 5, 4*j - 17 = 4*p + c. List the prime factors of j. 2, 3, 5 Let r = 4 + -4. Suppose -4*h = 8, -2*u - 2*h + r - 4 = 0. Suppose u = -5*g - f + 26 + 6, 34 = 4*g - 2*f. What are the prime factors of g? 7 Let m(s) = -6*s - 1. Let i be m(-1). Let g = 0 + i. Suppose -7 = -g*b - 4*d - 0, 3*b - 3*d - 15 = 0. What are the prime factors of b? 3 Let g = 2 - 10. Let q be 5*(-7 + g/(-2)). What are the prime factors of (-310)/(-6) - (-10)/q? 3, 17 Let t be (-94)/7 - (-12)/28. Let s = t + 73. List the prime factors of s. 2, 3, 5 Let m be 0 - 3 - (-135)/9. What are the prime factors of 81/(-2)*(-32)/m? 2, 3 List the prime factors of -2*(-42)/(-12) - -127. 2, 3, 5 Let s(p) = -2*p**3 + 2246. List the prime factors of s(0). 2, 1123 Let o(j) = 2*j**2 - 3*j. Let z be o(2). Suppose z*x - 18 = x. Suppose 42 = 4*g - x. List the prime factors of g. 3, 5 Suppose 0 = 8*v - 880 - 320. List the prime factors of v. 2, 3, 5 Suppose -3*t + 14*t - 11 = 0. List the prime factors of (2 + 16/1)*t. 2, 3 Suppose 4*z - 20597 = 3*x, -4*z - 5*x - 10448 = -31053. What are the prime factors of z? 2, 5, 103 Suppose 2*r + 1751 = -5*m + 8*m, 4*m = -3*r + 2346. List the prime factors of m. 3, 5, 13 Suppose -5*a - 20 = i, -i - 4*a = -7*a - 12. Let h be 2/(i + (-4 - -2)). List the prime factors of ((-108)/(-21))/(h/(-7)). 2, 3 Suppose 0 = -5*w + 4*k - 2, 0 = k + 4*k - 15. Suppose -j - 17 = -u, 3*j + 2*j = w*u - 82. What are the prime factors of 77/4 + 4/j? 19 Suppose o + 0*o + 5*f - 1200 = 0, 6046 = 5*o + 2*f. What are the prime factors of o? 2, 5, 11 Let l(x) = -82*x - 9. Let q = 112 + -114. List the prime factors of l(q). 5, 31 Let c be -478 + 5 + -2 - -2. Let l be 0 + 0 - (c - -7). List the prime factors of 14/(-49) - l/(-14). 3, 11 Suppose h + 3*j - 962 = 0, -18*h = -19*h - j + 962. What are the prime factors of h? 2, 13, 37 Suppose -3*n - 4*i = -3, -n - 5 = -5*i + 13. Let o be 173 - (4 + (-4 - n)). Suppose 5*u + a - o = -4*a, 4*u - 5*a - 145 = 0. List the prime factors of u. 5, 7 Suppose -j - 2*x + 10 = -x, -4*x = 3*j - 35. Suppose -w + j*w - 224 = 0. What are the prime factors of w? 2, 7 Suppose 3*y = -4*r - 44, 2*r + 9 = -5*y - 41. Let q = y + 4. Let z = q + 13. List the prime factors of z. 3 Let k(a) = -7*a - 11. Let h be k(-2). Suppose -n + h = 2*r, -3*n + 3*r + 38 = -16. List the prime factors of n. 13 Let r = 35 - 30. Suppose 10*b - 90 = r*b. What are the prime factors of b? 2, 3 Suppose 5*g - 3*o - 13 = 0, 3*g + 0*g + 3*o = 27. Suppose -42 = 4*y + 5*w - 5, -g*y - 37 = -3*w. List the prime factors of y/(-4) + 1*5. 7 Let x be 2 + (132/(-3))/(-2). Suppose -x = -2*m - 5*j, 5*j - 12 = 2*m + 4. Suppose 17 + 15 = 3*c - z, 2*c = m*z + 28. What are the prime factors of c? 3 Let g = -53 + 62. Let y = 52 - 74. Let m = g - y. What are the prime factors of m? 31 Let m(n) = 3*n - 7. Let s be m(4). Suppose -5*g + s*a = -310, 3*a = -4*g - 0*a + 276. List the prime factors of g. 2, 3, 11 Suppose -7*s = 123 - 25. Let f = -9 - s. Suppose f*r - 118 = -38. What are the prime factors of r? 2 Suppose -5*w + 3975 = -5*r, 0 = -10*w + 12*w - 4*r - 1580. What are the prime factors of w? 2, 5 Let q be (-5956)/(-14) - (-2 - (-51)/21). Let l = q + -213. What are the prime factors of l? 2, 53 Let y(z) = -37*z. Let g be y(-1). Let t be 4 + 1 + g - -2. List the prime factors of (1 - t)*(2 - 3). 43 Let k(f) = 23*f - 24. List the prime factors of k(8). 2, 5 Let i(w) = -w**3 - w**2 + 5*w - 2. Let x be i(2). What are the prime factors of (120/18)/(x/(-6))? 2, 5 Let m(i) = i - 3. Let b be m(3). Suppose b = 4*s + 16 - 0. What are the prime factors of (3 + (-8)/s)*1? 5 Suppose -4*n + 2314 = -3*a - 2094, 3*n = -a + 3293. What are the prime factors of n? 7, 157 Let a(x) = x**2 + 5*x - 6. Suppos
{ "pile_set_name": "DM Mathematics" }
t(99))). sqrt(17)/12 Simplify (1*sqrt(539))**2 + (1 + sqrt(1584))**2 + sqrt(1584) + 2. 36*sqrt(11) + 2126 Simplify (sqrt(9)/sqrt(3)*1*-3 + 4*sqrt(33)/(sqrt(44) - sqrt(11)))**2. 3 Simplify -1 + sqrt(252)*-4 + -1. -24*sqrt(7) - 2 Simplify ((sqrt(3168)*3)/(2*sqrt(99)))**2. 72 Simplify -2 + sqrt(35)/(sqrt(5)*1) + (sqrt(252))**2 + 2. sqrt(7) + 252 Simplify -3*(sqrt(170) - -1*sqrt(170)*-6)/sqrt(10). 15*sqrt(17) Simplify -5*(4*(sqrt(2) + -1) + sqrt(2) - sqrt(2) - (-1 + sqrt(2) + sqrt(2) + -3)**2). -100*sqrt(2) + 140 Simplify -2*((sqrt(102)/sqrt(6) + -2)**2 + sqrt(17)). -42 + 6*sqrt(17) Simplify (sqrt(10)/sqrt(2))**2*1 + sqrt(55)/(sqrt(11)*1) + -6*sqrt(20)*2. -23*sqrt(5) + 5 Simplify (sqrt(84) + 2*(1*sqrt(84) + sqrt(84)))/(sqrt(768)*2). 5*sqrt(7)/16 Simplify -1 + sqrt(192) + 1. 8*sqrt(3) Simplify sqrt(2) - (2 + (3*sqrt(2))**2) - (-4 + sqrt(200) + sqrt(200))**2. -836 + 161*sqrt(2) Simplify (sqrt(32) + sqrt(32)*1 + (1 + sqrt(2))**2 + -4)*4. -4 + 40*sqrt(2) Simplify (-1 + sqrt(128) + -1)**2 + 4. -32*sqrt(2) + 136 Simplify sqrt(216)/sqrt(8) + 4. 4 + 3*sqrt(3) Simplify 0 + sqrt(15)/(-1*sqrt(15)/sqrt(3)). -sqrt(3) Simplify (-6*sqrt(72)*1)**2*2. 5184 Simplify -2 + -4*3*(sqrt(242) - (sqrt(242) + -1 + sqrt(242) + sqrt(242))**2). -924*sqrt(2) + 26146 Simplify -6*(sqrt(10)/sqrt(2) + 3). -18 - 6*sqrt(5) Simplify 2*(3 + -2 + sqrt(17) + (sqrt(1088) + -1)**2). -30*sqrt(17) + 2180 Simplify ((sqrt(18)*2*-5)/((sqrt(9) - (sqrt(108)/(1*sqrt(12)) - sqrt(9))) + sqrt(9)))**2. 50 Simplify (5 + (sqrt(7) - (sqrt(7) + sqrt(63))) + (-3*(-2 + sqrt(7)) - sqrt(7)))**2. -154*sqrt(7) + 464 Simplify (sqrt(2057)*-1)**2 + (sqrt(17) - (sqrt(17) + 2)) + -1. 2054 Simplify (-2 + (sqrt(684) - ((sqrt(684) - (sqrt(684) + 0)) + sqrt(684) - sqrt(684))) + sqrt(684))**2*4. -192*sqrt(19) + 10960 Simplify ((sqrt(3000)*-2)/(sqrt(20)/sqrt(8)))**2. 4800 Simplify ((-2 + sqrt(448) + sqrt(448) + 2)*-5)**2. 44800 Simplify 1 + (sqrt(99) + sqrt(99)*1)/sqrt(9) + ((sqrt(55)/sqrt(5))**2 + sqrt(11))*4. 6*sqrt(11) + 45 Simplify (4*(sqrt(19) - (sqrt(19) - (sqrt(19) - (sqrt(19) + -1)*-3))))**2. -384*sqrt(19) + 5008 Simplify (sqrt(2) - sqrt(8)/sqrt(4)*1)*2 - (sqrt(2) + (-2*sqrt(128))**2 - sqrt(2))*-4. 2048 Simplify (3*sqrt(76)*5)**2. 17100 Simplify (sqrt(13) - sqrt(39)/sqrt(3))*-6 + ((sqrt(52)*-2)**2 - sqrt(13)). -sqrt(13) + 208 Simplify (-1 + (0 + sqrt(1573) - sqrt(1573)))**2 - (sqrt(1573) + 1)*-2. 3 + 22*sqrt(13) Simplify (2*sqrt(882))**2 + sqrt(882) + sqrt(162)*2*-5. -69*sqrt(2) + 3528 Simplify sqrt(1584) + -1 - (sqrt(539) - ((-1 + sqrt(539))**2 + sqrt(539))) - -1*sqrt(1331)*-6. -68*sqrt(11) + 539 Simplify (sqrt(114) - 6*sqrt(114)*-2)/(2*sqrt(384) + sqrt(6)). 13*sqrt(19)/17 Simplify (3*(-1 + sqrt(288)) - (sqrt(288) + -2 + 2))**2. -144*sqrt(2) + 1161 Simplify (sqrt(51)/(sqrt(243)*1) + -2*sqrt(17)*5 + -5 + sqrt(34)/sqrt(2))**2. 800*sqrt(17)/9 + 110825/81 Simplify sqrt(612)*-1 - ((sqrt(17) + -1)*-1)**2. -18 - 4*sqrt(17) Simplify (sqrt(7)*-1)**2 + -2 + sqrt(175)*-3. -15*sqrt(7) + 5 Simplify -5*sqrt(304) + 3. -20*sqrt(19) + 3 Simplify 4 + sqrt(80) - (sqrt(5) + (sqrt(5) - sqrt(35)/sqrt(567))). 4 + 19*sqrt(5)/9 Simplify (sqrt(28)/sqrt(4) + sqrt(7) + 1)*2. 2 + 4*sqrt(7) Simplify -5*(sqrt(13) + (sqrt(13)*-1*-5)**2). -1625 - 5*sqrt(13) Simplify ((sqrt(3146) + sqrt(3146)*2)/sqrt(2))**2 - sqrt(65)/(1*-1*sqrt(5)). sqrt(13) + 14157 Simplify (sqrt(13) + sqrt(26)/sqrt(2) + 5)*5. 25 + 10*sqrt(13) Simplify (sqrt(1216) - (4*sqrt(1216))**2)*-5. -40*sqrt(19) + 97280 Simplify 1 + (sqrt(1377) + -1)**2. -18*sqrt(17) + 1379 Simplify (sqrt(405) + -1 + sqrt(405) + 0 + sqrt(405))**2. -54*sqrt(5) + 3646 Simplify -3*(sqrt(98) + 0 + sqrt(98)) + sqrt(98) + (sqrt(98) - (-1 + (-2 + sqrt(98))**2)) + sqrt(98) + sqrt(98). -101 + 14*sqrt(2) Simplify (5 + (sqrt(117) + (sqrt(117) - (sqrt(117) + 2)))*5)**2. -150*sqrt(13) + 2950 Simplify 2*5*sqrt(425)*-5. -250*sqrt(17) Simplify (sqrt(306) + (sqrt(306) - sqrt(306)*2) + sqrt(306))/((sqrt(2) - sqrt(8)/sqrt(4))*-6 + sqrt(2)). 3*sqrt(17) Simplify (5 + (3*(sqrt(432) + 0))**2)*1. 3893 Simplify -2*(sqrt(76) + 1 - sqrt(76))*4. -8 Simplify (sqrt(300) - (sqrt(300)*2 + sqrt(300))*5) + sqrt(300). -130*sqrt(3) Simplify (sqrt(224)*-3 + sqrt(224))/sqrt(8). -4*sqrt(7) Simplify 4 + sqrt(50)/sqrt(10) + (sqrt(5) - ((sqrt(180)/sqrt(9))**2 - sqrt(5))). -16 + 3*sqrt(5) Simplify sqrt(242) + 0 + ((1*sqrt(2))**2*-2 - sqrt(2)). -4 + 10*sqrt(2) Simplify sqrt(475) + -3 - (-2*sqrt(19) + 0). -3 + 7*sqrt(19) Simplify sqrt(14)/(sqrt(7)*1) - (-3 + -1 + sqrt(2)) - (4 + sqrt(2) + (sqrt(2) - (0 + sqrt(32)))**2 + sqrt(2)). -18 - 2*sqrt(2) Simplify 1*sqrt(12)/(-2*sqrt(6)). -sqrt(2)/2 Simplify (((sqrt(399)*1)/sqrt(7))/(sqrt(9)/(sqrt(6)/sqrt(2)))*-2)**2. 76 Simplify (sqrt(78)*-2)/sqrt(6) - 6*sqrt(65)/sqrt(5). -8*sqrt(13) Simplify ((sqrt(66)*-2)/sqrt(6))**2 + (1*sqrt(99))**2. 143 Simplify 1 + (sqrt(1584) + 1)**2. 24*sqrt(11) + 1586 Simplify (-6*sqrt(640))/(sqrt(288) + 3*sqrt(288) - sqrt(8)). -24*sqrt(5)/23 Simplify sqrt(76)/(sqrt(36) + sqrt(4))*-2*3. -3*sqrt(19)/2 Simplify (4*(-2*(sqrt(19) + 2) - (sqrt(76)*-2 + sqrt(19))))**2. -128*sqrt(19) + 560 Simplify 2*4*(2 + sqrt(80)). 16 + 32*sqrt(5) Simplify (4 + sqrt(99) + -3*sqrt(22)/sqrt(2))**2. 16 Simplify (-5 + 0 + sqrt(832))**2. -80*sqrt(13) + 857 Simplify -1*sqrt(7)*-1 - (2 + sqrt(7) + 1). -3 Simplify (sqrt(448) - (-4 + 4*sqrt(448)))**2. -192*sqrt(7) + 4048 Simplify 3*(2*sqrt(2448))**2. 29376 Simplify 1 + sqrt(5) + ((sqrt(180)/sqrt(4))**2 - sqrt(45)) + sqrt(5). -sqrt(5) + 46 Simplify 2*(-4 + -3 + sqrt(1331)). -14 + 22*sqrt(11) Simplify sqrt(56)/(sqrt(80)/(sqrt(20)/sqrt(2))). sqrt(7) Simplify sqrt(153) - (sqrt(153) + (sqrt(153) - (3 + sqrt(153)*1)**2)). 15*sqrt(17) + 162 Simplify sqrt(11)*-2 + 1 + -5 + sqrt(44). -4 Simplify ((1 + ((sqrt(22) - sqrt(44)/sqrt(2)) + sqrt(22) + sqrt(22))/sqrt(11))*-1 + 1)**2. 8 Simplify 5*(sqrt(7) + -1) + -6*(1*sqrt(7))**2. -47 + 5*sqrt(7) Simplify sqrt(187)/((sqrt(99) - sqrt(11))*-3). -sqrt(17)/6 Simplify (sqrt(1331) - (sqrt(1331) + -4))**2 + 2 + sqrt(1331) + sqrt(1331). 18 + 22*sqrt(11) Simplify (-5*sqrt(114)*2 + sqrt(114))/(2*sqrt(54)). -3*sqrt(19)/2 Simplify sqrt(12)/(3*sqrt(20)/sqrt(5)). sqrt(3)/3 Simplify ((sqrt(36) - sqrt(36)*3)*2)/(1*(sqrt(12) - sqrt(12)*-1)). -2*sqrt(3) Simplify sqrt(77)/(-4*sqrt(11)) - (sqrt(21) + sqrt(525) + sqrt(21))/sqrt(3). -29*sqrt(7)/4 Simplify ((sqrt(40)*-3 - sqrt(40))*-6)/(sqrt(8) + ((3*sqrt(80))/sqrt(10) - sqrt(8))). 8*sqrt(5) Simplify (sqrt(432)*-1*1 - 4*(sqrt(432) + 1))*-6. 24 + 360*sqrt(3) Simplify ((sqrt(68) + 4*2*sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68))/(-6*(sqrt(64) + sqrt(4))). -11*sqrt(17)/30 Simplify 3*(sqrt(11) + sqrt(22)/sqrt(2)) + 3. 3 + 6*sqrt(11) Simplify (sqrt(1728)*-1)/(2*sqrt(24)). -3*sqrt(2) Simplify 3*1*sqrt(25)/sqrt(5) + 0. 3*sqrt(5) Simplify (sqrt(1900)*3*-4)**2. 273600 Simplify ((sqrt(78) + (sqrt(78) - (sqrt(78) + 2*sqrt(78))) - sqrt(78))*6)/(sqrt(600)*-1). 6*sqrt(13)/5 Simplify -3 + ((-2*sqrt(7) - sqrt(7)) + -2 - sqrt(7)) - (sqrt(7) + -2*sqrt(252) + 4). -9 + 7*sqrt(7) Simplify sqrt(152)/(sqrt(8) - (sqrt(8) - 1*sqrt(8))) - (sqrt(19) + 0 + sqrt(19) + -4 + sqrt(19)). -2*sqrt(19) + 4 Simplify (-2*(sqrt(77)*-2 - sqrt(77)))/(sqrt(275) + 2*sqrt(275) + sqrt(275)). 3*sqrt(7)/10 Simplify -5 + sqrt(3)*-2 + sqrt(147) + 0. -5 + 5*sqrt(3) Simplify sqrt(6)/sqrt(2) + -5 + (sqrt(54)/sqrt(9))/sqrt(2). -5 + 2*sqrt(3) Simplify sqrt(33)/(sqrt(15)/sqrt(5)*1). sqrt(11) Simplify 5 + sqrt(102)/(sqrt(6) + 2*sqrt(216)). sqrt(17)/13 + 5 Simplify (-4*-2*sqrt(500) + 4)**2. 640*sqrt(5) + 32016 Simplify (sqrt(75)*1)**2 - (sqrt(6)*2)/sqrt(2). -2*sqrt(3) + 75 Simplify (0 + sqrt(2) + 1)**2 + (1 + sqrt(2))**2*-6. -15 - 10*sqrt(2) Simplify (4*(sqrt(20)/sqrt(2) + sqrt(10)))/((2*sqrt(500) - sqrt(500)) + sqrt(500)). 2*sqrt(2)/5 Simplify 1 + ((sqrt(13) + 1)*-6 - (sqrt(13)*-2 + 1)). -4*sqrt(13) - 6 Simplify ((sqrt(242) + -2)*-4)**2. -704*sqrt(2) + 3936 Simplify sqrt(1008) + -1 + 2 + sqrt(1008). 1 + 24*sqrt(7) Simplify sqrt(684) + 4 + -4. 6*sqrt(19) Simplify -1 + sqrt(17) + -2 + 4. 1 + sqrt(17) Simplify (-1 + sqrt(99) - sqrt(99)) + -4 + -3 + 0 + sqrt(1331) + sqrt(1331). -8 + 22*sqrt(11) Simplify ((sqrt(396) + 1 - sqrt(396) - (sqrt(176) + 4 - sqrt(11))) + 2)**2. 6*sqrt(11) + 100 Simplify (sqrt(270)*-2 + sqrt(270))/sqrt(10). -3*sqrt(3) S
{ "pile_set_name": "DM Mathematics" }
nd derivative of -d**4/36 - 23*d**3/18 + 187*d**2/3 + 1854*d - 2. Find w such that i(w) = 0. -34, 11 Let x(g) be the second derivative of -2/45*g**5 + 0*g**3 + 0 + 1/135*g**6 + 0*g**2 + 74*g + 2/27*g**4. Determine v, given that x(v) = 0. 0, 2 Let n be (-4)/(-48)*6*(-12)/(-2). Factor -11*s**2 - 49*s**2 - 18*s + n*s + 15*s + 12*s - 33*s**3. -3*s*(s + 2)*(11*s - 2) Let k(a) be the second derivative of -3/50*a**5 + 40*a + 1/10*a**3 + 2/5*a**4 - 6/5*a**2 - 2/25*a**6 + 0 + 1/70*a**7. Suppose k(n) = 0. What is n? -1, 1, 4 Let g = -1431/5 - -287. Let m(r) be the first derivative of -5/4*r**4 - 1/6*r**6 + 0*r + 0*r**2 - 2/3*r**3 - g*r**5 - 2. Let m(o) = 0. Calculate o. -2, -1, 0 Let j be -1 + (-1 + -30 - (-7)/(-7)). Let t be (-3)/(-1) - j/(-99). What is w in 4/9*w**2 - t*w + 4 = 0? 3 Suppose 5*s + 64 = -31. Let o be -1 + 5 - (s - -5). Factor 2*t**3 + 2*t**3 - 12*t**2 + 22 - 26 + o*t - 6*t. 4*(t - 1)**3 Factor 763 + 405*d + 14 + 87*d + 3*d**2 + 288*d. 3*(d + 1)*(d + 259) Let o(x) = 4*x**3 + 3*x**2 - 9*x + 5. Let z be o(1). Solve -144/5 - 52/5*j**2 - 676/5*j**z + 96*j = 0. -1, 6/13 Let g(j) be the second derivative of 18*j**2 + 0 - 1/140*j**5 - 1/28*j**4 + 0*j**3 + 3/280*j**6 + 16*j. Let x(z) be the first derivative of g(z). Factor x(o). 3*o*(o - 1)*(3*o + 2)/7 Let n = 300689/28 - 75146/7. Suppose -9*t**2 + 33/4*t + 9/2 - n*t**3 = 0. What is t? -3, -2/5, 1 Let k(y) = 3*y**2 - 64*y + 180. Let m be ((-182)/(-78))/((-14)/(-12)). Let r(g) = 20*g**2 - 450*g + 1260. Let x(t) = m*r(t) - 15*k(t). Factor x(j). -5*(j - 6)**2 Let u(m) be the first derivative of -m**5/30 - 2*m**4/3 - 4*m**3 - 92*m**2 + 50. Let j(p) be the second derivative of u(p). Factor j(q). -2*(q + 2)*(q + 6) Let l(s) be the first derivative of s**6/120 - s**5/30 - 5*s**4/24 + s**3 - 25*s**2/2 + 64. Let u(m) be the second derivative of l(m). Solve u(q) = 0. -2, 1, 3 Let z(q) be the third derivative of q**8/504 - q**7/315 - q**6/18 - 4*q**5/45 - 440*q**2. Let z(x) = 0. What is x? -2, -1, 0, 4 Let b(m) be the first derivative of -m**4/18 - 3184*m**3/27 - 633616*m**2/9 - 3042. Factor b(v). -2*v*(v + 796)**2/9 Factor 288 + 3/2*o**3 + 57/2*o**2 + 168*o. 3*(o + 3)*(o + 8)**2/2 Let j(q) = 36*q**2 - 1140*q - 2292. Let c(a) = 5*a**2 - 163*a - 328. Let o(d) = -44*c(d) + 6*j(d). Factor o(v). -4*(v - 85)*(v + 2) Let c = -214361 - -214361. Factor c*i + 16/5*i**4 + 0 + 2/5*i**5 + 0*i**2 + 24/5*i**3. 2*i**3*(i + 2)*(i + 6)/5 Factor -26/3*l - 1/6*l**2 + 55/2. -(l - 3)*(l + 55)/6 Let u(q) be the second derivative of -43/12*q**4 + 0 - 34/3*q**3 - 10*q**2 + 175*q + 1/4*q**5. Factor u(y). (y - 10)*(y + 1)*(5*y + 2) Suppose 12*y - 63*y + 3309127 = -2896043. Factor -y*i + 7935*i**2 - 230*i**3 + 5/2*i**4 + 1399205/2. 5*(i - 23)**4/2 Let f(i) = i**3 - 6*i**2 - 12*i + 51. Let b be f(7). Suppose 33*k + 16 = b. Determine y, given that 1/4*y**3 + 0*y + k + 1/2*y**2 = 0. -2, 0 Let q(s) = -29*s**2 + 2*s - 1. Let r(j) = 56*j**2 - 3868*j - 1866310. Let h(p) = 4*q(p) + 2*r(p). Determine n so that h(n) = 0. -966 Factor 43808/3 + 1776*o + 54*o**2. 2*(9*o + 148)**2/3 Let n be ((-68)/12 - 190/114) + (-1 - -9). Factor 0*u + n*u**2 + 0 - 2/3*u**3 + 1/6*u**4. u**2*(u - 2)**2/6 Let f(o) = -3*o**2 - 93*o. Let q(w) = -2*w**2 + 3*w. Let h(m) = -f(m) + 4*q(m). Factor h(v). -5*v*(v - 21) Let u(r) = r**2 - 2*r + 3. Let v(b) = b**2 - 13*b + 14. Let k be v(12). Let g be u(k). Factor 7*h**2 - 7*h**2 - 3*h**2 - 6*h - g. -3*(h + 1)**2 Let o(g) be the second derivative of -64*g**3 + 260*g - 40*g**2 + 0 - 95/3*g**4 - 12/5*g**5 + 14/15*g**6. Find p such that o(p) = 0. -2, -1, -2/7, 5 Let n(t) = 12*t**4 + 40*t**3 - 4*t**2 - 16*t. Let r(k) = 4*k**4 + 13*k**3 - 2*k**2 - 5*k. Let s(v) = 5*n(v) - 16*r(v). Factor s(o). -4*o**2*(o - 1)*(o + 3) Let s be (39/3)/(285467/9411). Factor s*q**3 + 52/7*q + 4/7*q**4 - 34/7*q**2 - 24/7 - 1/7*q**5. -(q - 2)**3*(q - 1)*(q + 3)/7 Let j(y) = -y - 4. Let u be j(-4). Let i = -71589 - -71591. Suppose -2/5*q**3 - 4/5*q - 6/5*q**i + u = 0. What is q? -2, -1, 0 Let r(c) be the third derivative of c**7/1470 + 8*c**6/105 + 253*c**5/70 + 1976*c**4/21 + 61009*c**3/42 - 25*c**2 - 6. Solve r(x) = 0 for x. -19, -13 Let u(y) = -27*y + 471. Let j be u(18). Let w be (-324)/(-8) - j/(-5). Solve -1/2*l**3 - 15/2*l**2 - w*l - 125/2 = 0. -5 Let t(g) be the first derivative of 2/45*g**3 + 28 + 0*g**2 - 8/15*g. Factor t(k). 2*(k - 2)*(k + 2)/15 Determine a so that 4*a**2 + 10*a**2 - 909*a + 18*a**3 + 10*a**4 + 2*a**5 + 459*a + 454*a = 0. -2, -1, 0 Suppose -115 = 9*p - 14*p. Factor -34*a**2 - 32*a**2 + p*a - 4*a**3 + 2*a**2 + 45*a. -4*a*(a - 1)*(a + 17) Factor -28*v**2 + 4050 + 495*v + 1/3*v**3. (v - 45)**2*(v + 6)/3 Let r be 3108/(-370)*5/(-14). Suppose 140/3*u**2 + 5/3*u**5 + 10*u**r - 30 - 35/3*u - 50/3*u**4 = 0. What is u? -1, 1, 2, 9 Let a(s) be the second derivative of 67/16*s**3 + 33/16*s**4 + 0*s**2 - 3/160*s**5 - 15 - 2*s. Factor a(u). -3*u*(u - 67)*(u + 1)/8 Let q(t) be the second derivative of t**6/10 + 15*t**5/4 + 87*t**4/4 - 253*t**3/2 + 210*t**2 + 323*t. Factor q(m). 3*(m - 1)**2*(m + 7)*(m + 20) Suppose -147 = -4*a + 57. Let q = -49 + a. Let -7*l**q - 1 + 6*l**2 + 6*l + 3 - 7*l = 0. What is l? -2, 1 Suppose 12 = -4*x + 7*x. Suppose -j - 2*u = 6, 0 = -4*j - 4*u - x - 4. Factor -23*q**j - 10*q + 8*q**3 + 20*q**2 - 12*q**4 + 2*q + 15*q**2. -4*q*(q - 1)*(q + 1)*(3*q - 2) Factor -498*a - 82668 - 3/4*a**2. -3*(a + 332)**2/4 Let j = 6 + -2. Suppose j*n + 10 = 9*n. Factor 3*m**n - 2*m + m**2 - 3*m**2 + 3*m**2. 2*m*(2*m - 1) Suppose 0 = 72*w - 50*w - 132. Factor 125*n + 75*n + 160*n**2 - 12*n**4 + 5*n**4 - 38*n**3 + 3*n**4 + w*n**4. 2*n*(n - 10)**2*(n + 1) Let r(p) be the second derivative of -p**4/6 - 17*p**3 - 308*p**2 + 2*p + 3044. Factor r(i). -2*(i + 7)*(i + 44) Let x(b) be the second derivative of -b**10/7560 - b**9/540 + b**8/210 - 13*b**4/4 + 124*b. Let p(h) be the third derivative of x(h). Factor p(c). -4*c**3*(c - 1)*(c + 8) Let u(f) be the second derivative of -5*f**9/12096 - f**8/448 + f**6/72 - 28*f**3/3 + 63*f - 2. Let c(r) be the second derivative of u(r). Factor c(d). -5*d**2*(d - 1)*(d + 2)**2/4 Let m = -1249/10 + 27259/110. Solve m + 104/11*n + 2/11*n**2 = 0 for n. -26 Let u(l) be the second derivative of -3*l**5/34 - 929*l**4/51 - 57412*l**3/51 + 7688*l**2/17 - 20*l - 4. Determine k so that u(k) = 0. -62, 2/15 Let i(w) = 10*w**3 - 915*w**2 - 1660*w - 5. Let x(g) = -5*g**3 + 468*g**2 + 830*g + 3. Let j(o) = -3*i(o) - 5*x(o). Solve j(r) = 0 for r. -2, 0, 83 Suppose -3*n + 8 = 3*a - 19, a = -3*n + 29. Suppose -n - 20 = -3*k. Factor 4*z - k + 6 - 2*z**2 + 2*z. -2*(z - 2)*(z - 1) Let t(x) be the third derivative of -2*x**7/105 - 23*x**6/30 - 22*x**5/15 - 1038*x**2. Factor t(a). -4*a**2*(a + 1)*(a + 22) Let v(d) = -11*d**4 - 96*d**3 - 113*d**2 + 219*d + 10. Let q(j) = j**4 + j**3 + 2*j**2 + j - 2. Let l(r) = -3*q(r) + v(r). Suppose l(k) = 0. Calculate k. -4, -1/14, 1 Factor -78*z**2 - 1/4*z**4 - 79/2*z**3 + 0 + 0*z. -z**2*(z + 2)*(z + 156)/4 Let b(r) be the first derivative of -r**6/60 + 11*r**5/30 + 7*r**4/6 - 8*r**3 + r**2/2 + 18*r + 243. Let s(i) be the second derivative of b(i). Factor s(z). -2*(z - 12)*(z - 1)*(z + 2) Find k such that 9/2*k + 30 + 1/6*k**2 = 0. -15, -12 Factor 2543 - 2543 + 109*d + 27*d + 4*d**2. 4*d*(d + 34) Let c(j) be the third derivative of -j**5/210 - 5*j**4/3 - 18*j**2 + 5. Suppose c(f) = 0. Calculate f. -140, 0 Let z(x) be the first derivative of 5 + 676*x + 1/3*x**3 - 26*x**2. Factor z(h). (h - 26)**2 Factor p**2 + 2*p - 2*p**2 + 10*p**2 + 2*p - 7*p**2 - 16. 2*(p - 2)*(p + 4) Let g(t) = 32*t**2 + 34*t + 144*t + 99*t + 63 + 16*t**2. Let b(d) = 6 - 14 - 54 + 3*d**2 - 50*d**2 - 278*d. Let s(h) = 3*b(h) + 2*g(h). Factor s(q). -5*(q + 6)*(9*q + 2) Let a(z) be the first derivative of -2*z**5/5 + 3*z**4/10 + 464*z**3/15 + 492*z**2/5 + 64*z - 12864. Suppose a(u) = 0. Calculate u. -5, -2, -2/5, 8 Let k(n) = 2*n**2 + 2*n - 4. Suppose -3*c + 15 = 33. Let z(p) = 3*p**2 - p - 6. Let q(i) = c*k(i) + 5*z(i). Suppose q(r) = 0. What is r? -1/3, 6 Let o(a) be the second derivative of 0*a**3 + 0 + 1/63*a**7 + 81*a + 0*a**2 + 1/15*a**6 + 0*a**4 + 1/15*a**5. Suppose o(y) = 0. What is y? -2, -1, 0 Let h(c) = -c**2 + c + 1. Let k(p) = -53*p - 7 + 44*p + 3*p**2 - 2*p**2. Let d(q) = -3*h(q) - k(q). Find b, given t
{ "pile_set_name": "DM Mathematics" }
multiple of 10? True Is 1892 a multiple of 8? False Does 7 divide 2016? True Is 9519 a multiple of 19? True Is 13896 a multiple of 8? True Is 18 a factor of 107854? False Does 131 divide 3494? False Is 13460 a multiple of 5? True Is 12 a factor of 1764? True Does 53 divide 12927? False Is 124 a factor of 14243? False Is 19219 a multiple of 43? False Does 11 divide 78105? False Is 392 a multiple of 98? True Is 24 a factor of 408? True Is 12 a factor of 55? False Does 18 divide 6693? False Does 45 divide 15930? True Is 22632 a multiple of 46? True Is 1210 a multiple of 22? True Does 48 divide 1238? False Is 44184 a multiple of 10? False Is 7014 a multiple of 14? True Is 1335 a multiple of 31? False Is 8 a factor of 1528? True Does 9 divide 15095? False Is 37 a factor of 1040? False Is 32 a factor of 357? False Does 17 divide 5457? True Is 19 a factor of 360? False Is 32 a factor of 384? True Is 18 a factor of 2512? False Does 13 divide 55224? True Is 42480 a multiple of 10? True Is 41 a factor of 4026? False Is 4708 a multiple of 107? True Is 17626 a multiple of 7? True Is 136850 a multiple of 350? True Is 10586 a multiple of 43? False Is 71 a factor of 17490? False Does 55 divide 5596? False Is 7 a factor of 420? True Is 26645 a multiple of 73? True Is 18 a factor of 1151? False Is 10614 a multiple of 206? False Does 3 divide 126? True Does 6 divide 3006? True Is 13 a factor of 112512? False Is 8 a factor of 9874? False Does 136 divide 952? True Is 2 a factor of 28? True Is 4137 a multiple of 17? False Is 7500 a multiple of 6? True Does 86 divide 2236? True Does 22 divide 282? False Does 95 divide 665? True Does 42 divide 588? True Does 15 divide 36980? False Does 46 divide 3745? False Does 279 divide 50121? False Is 955 a multiple of 29? False Is 6 a factor of 462? True Is 8 a factor of 4334? False Does 40 divide 120? True Does 19 divide 7581? True Is 126424 a multiple of 21? False Is 17 a factor of 1615? True Is 192 a factor of 7872? True Is 61 a factor of 4575? True Is 50692 a multiple of 58? True Is 2848 a multiple of 18? False Is 28 a factor of 1512? True Is 9 a factor of 11091? False Is 360 a multiple of 15? True Is 11 a factor of 1397? True Does 13 divide 2444? True Is 5876 a multiple of 113? True Does 11 divide 1091? False Does 14 divide 15683? False Does 19 divide 741? True Does 16 divide 91? False Does 152 divide 8512? True Does 55 divide 31446? False Is 3 a factor of 51? True Is 425 a multiple of 17? True Is 1101 a multiple of 13? False Does 107 divide 18297? True Is 29 a factor of 16530? True Does 28 divide 18816? True Is 123 a factor of 1968? True Does 60 divide 960? True Is 3924 a multiple of 9? True Is 55 a factor of 3575? True Is 3 a factor of 104? False Is 47 a factor of 141? True Does 10 divide 15790? True Is 468 a multiple of 52? True Does 20 divide 667? False Does 52 divide 2444? True Does 27 divide 4605? False Is 12868 a multiple of 41? False Does 33 divide 369? False Is 38 a multiple of 3? False Is 1221 a multiple of 120? False Is 4218 a multiple of 57? True Is 27 a factor of 4200? False Is 1075 a multiple of 16? False Does 12 divide 1594? False Does 21 divide 1617? True Is 44 a multiple of 13? False Is 5766 a multiple of 62? True Does 30 divide 1715? False Does 67 divide 22236? False Does 19 divide 19494? True Is 3 a factor of 296? False Does 2 divide 805? False Does 202 divide 23028? True Does 29 divide 377? True Is 30 a factor of 6257? False Is 4347 a multiple of 161? True Is 42 a factor of 1008? True Does 32 divide 608? True Does 6 divide 1297? False Is 16 a factor of 336? True Is 3372 a multiple of 11? False Is 4 a factor of 62? False Is 905 a multiple of 14? False Does 27 divide 5535? True Is 60 a factor of 4482? False Does 32 divide 992? True Is 55 a multiple of 55? True Is 1893 a multiple of 38? False Is 52822 a multiple of 15? False Does 11 divide 528? True Does 22 divide 6732? True Does 177 divide 13452? True Is 7 a factor of 127? False Does 12 divide 240? True Is 55 a multiple of 11? True Does 48 divide 5328? True Does 8 divide 11277? False Is 7 a factor of 525? True Is 40 a factor of 1560? True Is 3304 a multiple of 7? True Does 9 divide 1137? False Is 59 a factor of 1590? False Does 35 divide 29505? True Is 27 a factor of 1458? True Does 11 divide 583? True Is 35 a factor of 5333? False Is 10941 a multiple of 9? False Is 49 a factor of 553? False Is 2809 a multiple of 14? False Does 61 divide 102724? True Is 2548 a multiple of 28? True Does 15 divide 20625? True Is 4 a factor of 245? False Is 22 a factor of 59897? False Is 26 a factor of 681? False Is 40 a multiple of 10? True Does 8 divide 200? True Does 41 divide 765? False Is 494 a multiple of 9? False Is 8 a factor of 808? True Is 359 a multiple of 61? False Is 10 a factor of 11789? False Is 5 a factor of 1226? False Is 19193 a multiple of 65? False Is 5 a factor of 295? True Is 5169 a multiple of 22? False Does 101 divide 21917? True Is 5736 a multiple of 61? False Is 1658 a multiple of 9? False Does 2 divide 52? True Is 145 a factor of 580? True Does 10 divide 16347? False Is 43 a factor of 602? True Does 26 divide 2309? False Is 9495 a multiple of 15? True Is 75427 a multiple of 202? False Is 4691 a multiple of 78? False Is 8 a factor of 10913? False Is 1354 a multiple of 15? False Is 4 a factor of 25? False Is 50 a factor of 2025? False Is 155 a multiple of 5? True Is 6 a factor of 4206? True Does 14 divide 212? False Is 10239 a multiple of 14? False Does 4 divide 4? True Is 40 a factor of 200? True Does 102 divide 1653? False Is 8 a factor of 7614? False Is 63 a factor of 2295? False Does 13 divide 565? False Is 2328 a multiple of 24? True Is 34 a factor of 1836? True Is 21 a factor of 3657? False Is 12 a factor of 2328? True Is 150492 a multiple of 455? False Is 5 a factor of 1545? True Is 171 a factor of 1220? False Is 45 a factor of 9629? False Is 668 a multiple of 20? False Is 10815 a multiple of 24? False Is 125 a factor of 19875? True Is 56024 a multiple of 8? True Is 573 a multiple of 3? True Does 28 divide 16044? True Does 24 divide 552? True Is 4032 a multiple of 72? True Is 4 a factor of 5584? True Is 15 a factor of 572? False Does 94 divide 282? True Is 2326 a multiple of 6? False Does 11 divide 3718? True Is 51 a factor of 1214? False Is 42 a factor of 15750? True Is 3482 a multiple of 7? False Does 27 divide 2049? False Is 625 a multiple of 13? False Does 8 divide 425? False Does 84 divide 10164? True Is 1011 a multiple of 86? False Does 100 divide 500? True Is 16 a factor of 4192? True Is 29896 a multiple of 37? True Is 10 a factor of 600? True Is 19 a multiple of 6? False Does 3 divide 358? False Does 71 divide 6390? True Is 19096 a multiple of 56? True Does 76 divide 13224? True Is 482 a multiple of 96? False Does 24 divide 47587? False Is 19 a factor of 1708? False Does 41 divide 20418? True Is 185 a multiple of 2? False Is 9 a factor of 55980? True Is 17 a factor of 10047? True Is 1574 a multiple of 37? False Does 6 divide 539? False Is 2016 a multiple of 14? True Is 3 a factor of 7751? False Is 41 a factor of 7642? False Does 48 divide 104? False Does 64 divide 2432? True Is 17 a factor of 15283? True Is 13676 a multiple of 26? True Is 177 even? False Is 3 a factor of 235? False Does 12 divide 660? True Is 910 a multiple of 91? True Is 6 a factor of 1946? False Is 26422 a multiple of 28? False Does 19 divide 16777? True Is 8976 a multiple of 136? True Does 3 divide 53? False Does 57 divide 9939? False Is 1512 a multiple of 72? True Is 2373 a multiple of 5? False Does 211 divide 19232? False Is 29 a factor of 1411? False Is 20 a factor of 635? False Is 26 a factor of 96824? True Is 1511 a multiple of 44? False Is 50808 a multiple of 116? True Is 11899 a multiple of 63? False Is 6066 a multiple of 7? False Does 4 divide 25664? True Is 12236 a multiple of 46? True Is 67 a factor of 1742? True Does 4 divide 1823? False Is 2964 a multiple of 31? False Does 10 divide 804? False Does 10 divide 2062? False Does 20 divide 1496? False Is 455 a multiple of 14? False Is 6050 a multiple of 17? False Is 49266 a multiple of 9? True Does 4 divide 4376? True Is 16 a factor of 1046? False Is 6401 a multiple of 148? False Is 11 a multiple of 11?
{ "pile_set_name": "DM Mathematics" }
-2, -4*q + h + 20 = 0. Solve 4*b - 8 = -v - b, -5 = -q*b for v. 3 Let m(c) = -6*c - 71. Let h be m(-15). Solve -2*p = 6 + 4, 0 = 2*r + 5*p + h for r. 3 Let p be (-60)/(-9)*(0 - -3). Suppose 0 = 4*f - p - 0. Solve -k - 3 = b - 5, f*b - 15 = 0 for k. -1 Suppose 0 = -2*v + 4*v + 4*h + 2, -5*v + 11 = 2*h. Solve -c + 7 = 4*d, -v*d + 3*c = c - 19 for d. 3 Let k be 0 + 2 + 3 + -1. Let t = 2 - -1. Suppose -4*j = 2*g + j + 12, 32 = 3*g - 5*j. Solve 2*p = k*f - 6, -4*p + g*f + 9 = t*f for p. 3 Let b(m) = -5*m - 2. Let j be b(-1). Solve 0 = 4*a - w + 11, 0 = -a - 2*a + j*w + 3 for a. -4 Let y(m) = 6*m - 17. Let t be y(3). Let v = 6 - 1. Suppose -3*i = v*x - 0*x - 33, 5*x = -4*i + 39. Solve d + i = -d - 4*k, -d = k - t for d. 5 Let n(u) = 12*u**2 + u. Let r be n(-1). Solve -5*k - 15 = -5*p, -1 = -2*k - 2*p - r for k. -4 Suppose 7*x = 5*x + 4. Let t be x/(0 + 2/4). Solve -1 - 13 = t*o + 2*p, o - 4*p - 10 = 0 for o. -2 Let j = 106 - 92. Solve 8 = 5*b - 4*y, -5*b + 0*y = -2*y - j for b. 4 Let f(q) = 11*q**3 + q**2 - q - 1. Let z be f(-1). Let a = -5 - z. Let v be (-3)/(-12)*-10*4/(-5). Solve -o - 5 = -v*w, -o = -a*w + 2*o + 15 for w. 0 Suppose -8 = 4*w + 8. Let i = w - -9. Let b = i + -5. Solve -4*y = -m + 14, 5*m + y + 14 = -b*y for m. -2 Suppose 0 = 12*p - 2*p - 270. Solve -4*f = -5*w + p, -f + 6 = -3*w + 18 for w. 3 Let k = -18 + -4. Let m = 51 + k. Solve -2*q = -0*q + 5*h, -5*q + m = -2*h for q. 5 Suppose -5*m - 5*z + 44 + 21 = 0, 3*m - 3*z = 45. Let g be (-46)/(-14) - 4/m. Solve -3*n - 3*x + 9 = 0, -n + g*x + 7 + 0 = 0 for n. 4 Suppose 4*c - y + 1 = 2, c = -2*y - 2. Solve 0 = -4*j - 4*z, 4*j + z = -c*z + 3 for j. 1 Let v be 70/(-21)*6/(-4). Let f be 3*(-3)/(-15)*v. Solve 4*p = -f*g - 7, 3*p = 2*p - 5*g - 23 for p. 2 Let m be (-2)/(-8) + (-110)/(-8). Let n be ((-4)/m)/((-2)/28). Solve -16 = 2*h - n*q, 0 = -3*h + 3*q + 2*q - 21 for h. -2 Suppose g + 5*g = 0. Solve 0 = r - 4*v + 6, g*r = -r - 5*v + 3 for r. -2 Suppose 6*t + 2*t - 120 = 0. Solve -4*s - 5*h - 15 = -s, -5*h = t for s. 0 Let k = -157 - -159. Solve k*w + 6 = 4*m, -2*m = 2*m - 5*w - 21 for m. -1 Let l = -3 + 2. Let v = 1 - l. Suppose -3*t + 4*w - 6 = 0, -8 + 3 = -t - w. Solve -3*k + 2*k = 3*h + 17, 3*h + v = t*k for h. -4 Let y(r) = -3*r - 4. Let c be y(-2). Suppose -2*j = c*f + 3*j - 18, 0 = f + 4*j - 9. Solve 0*t + 5*t - f = -2*v, 5*t = 2*v + 21 for v. -3 Let l = -11 - -11. Suppose -m - 3*m - 52 = l. Let p = -7 - m. Solve 3*u + 3*n = -0*u + p, 0 = -u - 4*n - 7 for u. 5 Let q(i) = i**2 - 15*i - 13. Let a = -8 - -24. Let f be q(a). Solve -2*u = -2*r + 12, -4*r + 8*r + f*u = 3 for r. 3 Suppose -6 - 1 = -v. Solve 2*y - y = 2*t - 3, 3*t = 2*y + v for y. -5 Let n(a) = -a**3 - 4*a**2 + 5*a + 2. Suppose 15 = -2*t + 5*h, -4*t + 5*h - 18 - 7 = 0. Let j be n(t). Solve -4*k + 3 = o, -4*k + j + 16 = -2*o for k. 2 Let f be 2/3 - (-12)/(-18). Suppose f = -2*s - 2*s. Solve s = 5*r - u + 28, -4*u - 5 = -17 for r. -5 Let g(s) = s**3 + 7*s**2 - 8*s - 7. Let b be g(-8). Let i = b + 14. Solve -5*f + i + 3 = -3*k, -8 = 3*f + k for f. -1 Let r = -43 + 45. Solve -3*n - 2*n - f = -4, r*n - 2*f + 8 = 0 for n. 0 Let f be (-2200)/(-56) - 2/7. Let g = f + 3. Suppose 0 = -5*m + 112 - g. Solve 0*k + 4*k + 3*x - 20 = 0, -3*k - 2*x + m = 0 for k. 2 Let z be (-3)/(-2)*(-6 - -8). Suppose -z*i = -2*i - 4. Solve -4*y - 4 = i*d, 3*d - 5*d = 4*y + 8 for d. 2 Let y(n) be the third derivative of -2*n**2 + 0 + 1/60*n**5 + 1/2*n**3 + 0*n + 1/6*n**4. Let j be y(-4). Solve 5*r + 5*u = -4 - 16, -3*u + 6 = -j*r for r. -3 Let u be (-26)/(-8) + (-5)/20. Let f = 13 + u. Solve k - 23 = 5*v, -3*k - 3*v - f = -v for k. -2 Let b(m) = 2*m**2 - 10*m + 10. Let o be b(4). Solve l - o*t = 7, -2*l - 2*t - 10 = 2*t for l. 1 Let a(s) = -s**3 + 7*s**2 + 9*s - 2. Let f be a(8). Suppose -2*o - 22 = -4*z, 7*z - f*z + o = 4. Solve 0*l - 30 = -5*u - 4*l, -5*u + l + z = 0 for u. 2 Let a be (2/(-2))/(1/6). Let q = -8 + 4. Let z = q - a. Solve -5*k - 3 = 2*c + 2*c, -c - z*k = 0 for c. -2 Let t(y) = -3*y - 7. Let b be t(-9). Let x be (-4)/b - 12/(-10). Solve a = -4*s - x - 0, -5*s + 30 = -5*a for a. -5 Suppose -21*f + 16*f = 35. Suppose -9 = b - 2. Let k be (-2)/f - 19/b. Solve 0*h - 5*d = -2*h - 6, 0 = -h + d - k for h. -3 Suppose 5*a = 0, 2*o + 2*a = o - 4. Let s be (-4)/4*o/2. Solve -w + y = -s, 9 + 25 = 5*w + 3*y for w. 5 Suppose 3*v - 121 - 146 = 0. Suppose -4*g - 29 = -v. Solve -2*q + 10 = 0, -3*q + g = -0*w - 2*w for w. 0 Let v(y) = 11*y - 17. Let h be v(2). Let o(d) = 3*d**3 + 2*d**2 - 1. Let g be o(1). Suppose -8*r + g*r = -12. Solve r*a - 9 = -3*m - 0, a = -h*m + 15 for m. 3 Suppose 3*g - 3*n - n = 12, -5*g - 4*n = 12. Solve g = 4*m - 2*k + 18, 3*k - 8 - 1 = 0 for m. -3 Suppose 0 = -3*g + 4*a + 39, g - 4*a - 2 = a. Suppose 3 = s, 5*s + 2 = -m + g. Solve m = -p + 4*w - 1 + 2, 5 = -5*w for p. -3 Let y be 93/18 + (-9)/54. Solve -2*l = 2*l + y*k - 19, 0 = 5*l + k - 8 for l. 1 Suppose -3 = 3*x - 3*h, -39 = -4*x - 4*h - 3. Solve -16 = y - 3*v, -2*y - y = x*v - 17 for y. -1 Let u(n) = -n**3 + 5*n**2 - 5*n - 1. Let r be u(3). Solve -w - 27 = -5*f - r, 2*w + f + 6 = 0 for w. -5 Let z = 28 + -40. Let v be z*(1 + 10/(-6)). Let a = v - 4. Solve 5*t = 4*d + 17, 0*t = 5*t + a*d - 33 for t. 5 Suppose 0 = -3*r + 5*g - 44, 4*g - g = 2*r + 31. Let p = 38 + r. Suppose 10 - 10 = 3*u. Solve 3*f - c + 5 = -f, u = 5*c + p for f. -2 Suppose 0 = q + 3*q - 44. Let a = q - 32. Let u be (-2)/(-4) + a/(-6). Solve 0 = -0*k + 4*k - z - 5, 3*k - u*z = 20 for k. 0 Suppose -2*w = 3*w. Solve w = -p + 3*p - 5*g + 10, -g + 25 = -5*p for p. -5 Let t = -10 - -13. Let d = -4 + 11. Solve 0 = 2*k - h - t, -2*h - 9 = 2*k - d*h for k. 3 Let w(f) = -3*f - 6. Let z be w(-5). Let g = -6 + z. Suppose n + 3 + 4 = 4*d, 0 = -5*d + n + 9. Solve r - 2 = d*r - 3*q, 4*q - 20 = -g*r for r. 4 Suppose -4*k + 44 = 2*j - 34, -3*j + 54 = 3*k. Solve -2*a + 4*q + 3 = -3*a, k = 3*a - 3*q for a. 5 Let r be (-4)/(-2)*(-9)/(-6). Suppose -f + 4*n = -6, 3*f + 2*n - 35 = -r. Solve -5*w + f = -2*u - 6, -5*w = 5*u + 5 for u. -3 Suppose 4 = -u + 3*u. Let j be 3 + (u - 0/2). Solve 2*d - j*v = -28, 4*d + 44 = 3*v + 16 for d. -4 Suppose 0 = 5*v - 3*c + 1, -4*v - 4 = -c + 1. Let b(s) = s**2 + s - 2. Let z be b(v). Suppose 3*j + j - 28 = z. Solve -2*g + j = 1, 2*f - 3*g + 3 = 0 for f. 3 Suppose 1 = -3*v - 4*r, 2*v = 5*r - 2*r + 22. Let u = 0 - 0. Solve 0 = -2*a - s + 8, u*s = a - v*s + 7 for a. 3 Let t(d) = d**2 - 6*d + 3. Let x be t(6). Solve 3 = 3*n, -x*z + 4*n - n = -12 for z. 5 Let b be 1*9*4/12. Suppose -2*y - 17 = -b*w, 5*y + 2*w - 7 + 2 = 0. Let p be 3*(y + (5 - 3)). Solve 0 = 2*v - v + p*d - 2, -4*v - 4*d + 16 = 0 for v. 5 Let l = -34 - -39. Solve -5*z + 10 = -3*m, -z = -l*m - 5*z + 8 for m. 0 Suppose -b - 7 = -3*d, -b + 6*b = -2*d + 50. Solve -4*p - 10 = 5*f, -2*f + 2*p + b = -6 for f. 2 Let t be -2 + (-5)/(15/(-18)). Let h be (2 + 3)/(-3 + t). Solve f - h*s = -7, 4*f + 4*s + 4 = -0*f for f. -2 Let v be (1 - 1) + -2 + 5. Solve 2*c - v*x + 7*x = -2, -2*c = -3*x + 9 for c. -3 Let i(s) = -s**2 + 6*s - 4. Let k be i(4). Suppose 87 = 5*o - 3*y, -4*o = o - 4*y - 86. Let f = o + k. Solve 5*u - f - 8 = -h, -u = h - 10 for u. 5 Suppose 3*p + 5*f - 114 = 0, p - 114 = -2*p + 3*f. Suppose -5*u + 133 = p. Solve -3*h + 12 + u = -4*z, 0 = 3*h + z - 11 for h. 5 Suppose -13 + 16 = 3*h. Solve -5*r = d + 15, 0 = -3*r - d - 10 + h for r. -3 Suppose -3*u = 4*i - 97, 0 = i - 3*u - u - 10. Solve -5*x = -3*a + a - i, 4*a + 20 = 4*x for a. -1 Let l = 8 - 6. Suppose 2*d + 33 = 4*d + 5*z, -5*d + 30 = l*z. Solve 9 = -d*u + u, -4*y + 3*u = -25 for y. 4 Let y be (2 - 30/9)*-3. Solve 2*k = -2, y = -x - k - 0 for x. -3 Let w(r) = 3*r - 1. Let h be w(1). Let n be (15/60)/(2/40). Solve -4*q - 3*k = -h*q - 6, -n*q = 2*k - 15 for q. 3 Suppose 0 = 3*c - p - 20, 4*c + p = -0*p + 29. Suppose -4*n = -c + 3. Let w(v) = 14*v + 1. Let q be w(n). Solve -s + 15 = 3*m, -7*s - 3*m + q = -2*s for s. 0 Let n = -52 - -34. Let u = n - -21. Solve -2*l - 12 = -2*r, 0 = 3*r + l + u - 5 for r. 2 Suppose 3*z + 6*z - 45 = 0. Solve -6*n = -n - 5*a - 15, -n - z*a = 15 for n. 0 Let i = 12 + -11. Solve 0*f + 3*f + i = 5*g, -f = g - 5 for f. 3 Suppose f + 6 = 3, -3*y = 4*f + 3. Suppose -5*q - 31 = -y*p - p, 5*p + q - 17 = 0. Solve -4*g + 12 = 2*c - c, -6 = 5*g - p*c for g. 2 Le
{ "pile_set_name": "DM Mathematics" }
. 3 Let l(k) = -2*k**2 + 19*k - 45. Let y be l(12). Suppose c - 63 = 37. Let s = c + y. Let r(p) = 2*p**2 + 8*p + 5. Calculate r(s). 15 Let z(o) = o**3 - 6*o**2 - 8*o + 4. Let q be (0/(-3))/(-4) - 1 - -3. Suppose 0 = 5*b - 2*r - 29, q*r = -39*b + 41*b - 8. Determine z(b). -3 Suppose d = -3*f + 75, -f - 64 = -3*f + 4*d. Let x(k) = -f + 9 + 2*k - 6*k. Give x(-5). 3 Let g(b) = b**3 + 5*b**2 - 6*b - 7. Let t be -6*(-5 + 2 + 5)*(-4)/(-8). Calculate g(t). -7 Let c be (3 - 0 - 0) + 284/71. Let h(y) be the second derivative of -y**4/12 + 5*y**3/6 + 3*y**2/2 - y. Determine h(c). -11 Let r(j) be the first derivative of -j**4/4 + 5*j**3/3 + j**2 - 5*j - 1442. Calculate r(4). 19 Let p(j) = 5*j**2 - 32*j - 36. Let r(m) = -m**2. Let g(n) = p(n) + 4*r(n). Let b be g(33). Let s(l) = -l**3 - 7*l**2 - l - 4. Determine s(b). -37 Let h(w) = -w**3 + 16*w**2 + 4*w - 14. Let c = -26454 - -26470. What is h(c)? 50 Let b(w) = -29*w**2 - 49*w - 216. Let u(y) = 9*y**2 + 15*y + 72. Let j(p) = 4*b(p) + 13*u(p). Give j(0). 72 Let u(a) = 9*a**3 + 9*a**2 + 4*a + 13. Let j(f) = 29*f**3 + 28*f**2 + 14*f + 41. Let t(v) = 4*j(v) - 13*u(v). Determine t(-4). -37 Let s(f) be the first derivative of -f**3/3 - 7*f**2 + 18*f + 477. Calculate s(-13). 31 Let d(i) = i**3 + 7*i**2 + 4*i - 8. Let c be d(-6). Let x(k) = -4*k + 7*k - 8 + c*k - 6*k. Suppose -2*t + 6 + 4 = 0. Determine x(t). -3 Let z(b) be the third derivative of b**6/40 - b**5/30 + 5*b**3/6 + b**2 - 360*b. Determine z(2). 21 Suppose 4*k + q = -143, 0 = 121*q - 126*q - 35. Let h(r) = -6*r - 209. Calculate h(k). -5 Let s = -22113 + 22154. Let j(r) = r**3 - 40*r**2 - 39*r - 78. Calculate j(s). 4 Let t(v) = -5*v**2 - 7*v - 9. Suppose -5*x - 4*h = 32 + 1, -5*x - 27 = h. Let d(u) = -6*u**2 - 7*u - 10. Let z(o) = x*t(o) + 4*d(o). What is z(-7)? 5 Let s(h) be the third derivative of -h**6/120 + h**5/15 + h**4/12 - h**3 + h**2 + 19*h. Let k = 15 + -27. Let n be 14/(-3)*k/14. What is s(n)? 2 Suppose 3*f - 5 = 155*x - 160*x, -f + 5*x = 5. Let w(i) = -4*i**2 - 2*i - 3. Determine w(f). -3 Let d = 1220 - 1213. Let a(y) = y**2 - 15*y + 50. Calculate a(d). -6 Let x(v) = 2*v**3 + 36*v**2 + 32*v - 39. Let g be (-1284)/76 - -5*26/(-1235). Give x(g). -5 Suppose -5*s + 2*b - b = -58, 3*s - 34 = b. Let l(p) = -p - 4*p + 4*p + 2*p - 8. Give l(s). 4 Let u(c) = -4*c**2 + c. Let p be u(-1). Let n be p*((-56)/20 - -2). Let k(h) = -h + 15*h**2 - h**3 + 16*h**2 - 27*h**2 - 1. Give k(n). -5 Suppose 47 = -45*q + 6*q - 148. Let r(f) = f**3 + 5*f**2 - f + 16. What is r(q)? 21 Let w be 161/644 + (-1174)/88 + (-1)/(-11). Let p(g) = g**2 + 15*g - 12. Calculate p(w). -38 Suppose 0 = s - 7 - 6. Let t(l) = s - l**2 - 234*l + 106*l + 120*l. Determine t(-10). -7 Let n(s) = -12*s**3 + s - 4. Let k(d) = -73*d**3 - d**2 + 7*d - 13. Let g(w) = k(w) - 6*n(w). Let o = 2 - 2. Give g(o). 11 Let a be (-10)/(-15)*-21 - -15. Let c(u) = -28*u**2 + 1. What is c(a)? -27 Let m(g) = 5*g + 6. Let y(l) = -7 - l + 12*l - 15*l. Let q(z) = -2*m(z) - 3*y(z). Determine q(-7). -5 Let m(n) be the second derivative of 7*n**3/6 - 12*n**2 - 23*n - 78. What is m(4)? 4 Let l(j) be the first derivative of -3*j**2 + 31*j - 155. Give l(5). 1 Let n(z) = -7*z**3 + 17*z**2 + 3*z + 7. Let c(s) = -10*s**3 + 25*s**2 + 5*s + 11. Let t(a) = 5*c(a) - 7*n(a). Let y be (-22)/33*(375/(-30) + 2). Determine t(y). -15 Let l(f) = 18*f + 709479*f**2 - 709481*f**2 + 3*f + f - 30. Give l(14). -114 Let p(g) = -7*g + 9 + 8*g**2 - 7*g**2 - g. Let k(l) = 4*l**2 - 96*l + 519. Let t be k(16). Determine p(t). 2 Let z(u) = -u**2 + 6*u - 16. Let n(r) = 282*r - 3660. Let y be n(13). Calculate z(y). -16 Let c(u) be the first derivative of -u**3/3 - 9*u**2/2 + 25*u + 5. Let j = 7877 + -7888. What is c(j)? 3 Suppose 534*v = 311*v + 263*v. Let n(i) be the second derivative of -i**4/12 + i**3/6 + 5*i**2/2 + i. Give n(v). 5 Let j(u) be the second derivative of -u**5/20 + u**4/12 - 14*u**2 + 23*u. Let f = -530 + 530. What is j(f)? -28 Let p(r) = 112*r**2 - 170*r**2 + 66*r**2 + 17 - 14*r. Give p(4). 89 Let u(i) = 2*i**3 - 3*i**2 - i + 2. Let l be u(2). Suppose -l*n + n + 6 = 0. Let o(w) = w + 4 - 1 + 15 - 3 - 19. Calculate o(n). -2 Let p(c) be the third derivative of 0 + 2*c**2 + 1/6*c**3 + 0*c + 1/4*c**4. Let n be (-1 + -1)*243/243. Determine p(n). -11 Let m = 75 - 70. Suppose 8 = 3*z + 2, m*z + 10 = -4*y. Let p(g) = g**3 + 5*g**2 - 2*g - 6. What is p(y)? 4 Let o(q) be the first derivative of -q**3/2 - 4*q**2 - 4*q + 95. Let f(h) be the first derivative of o(h). Calculate f(-10). 22 Let d(n) = -2*n**2 - n - 2. Let z be d(-3). Let y = z + 53. Let t be (-297)/y + (6/8)/3. Let b(r) = r**3 + 7*r**2 - 9*r - 3. Determine b(t). 5 Suppose 115*l = 112*l + 6. Suppose n + 6 = 4*n. Let p(b) = b - b**n - 2 + 4 + 0 + 0. Determine p(l). 0 Let w(q) be the third derivative of q**4/24 + 2*q**3/3 + 2*q**2. Let b be (-24)/(-14)*(-189)/54 + (36 - 42). Determine w(b). -8 Let v = -3259 - -3260. Let l(s) be the second derivative of s**5/5 + s**4/6 - s**3/3 + s**2/2 - 5*s. Give l(v). 5 Let p be 7/(-14) - 225/2. Let s = -113 - p. Let t(d) = -4*d - 4. Calculate t(s). -4 Let w(n) = n - 3. Suppose 7 = -5*l - 3*v - 18, 0 = -2*l - v - 9. Let q(i) = 2*i - 6. Let m(a) = l*q(a) + 5*w(a). Give m(-2). -5 Let b = -106 + 105. Let y(l) = 9*l**3 - l**2 - 3*l - 1. Let i(n) = -15*n - n**3 + 28*n - 12*n - n**2. Let u(c) = i(c) + y(c). Determine u(b). -9 Let x(f) be the first derivative of -18 + 1/2*f**2 + f. What is x(-1)? 0 Let u(c) = -177 + 294264*c - 294147*c - 56. What is u(2)? 1 Suppose -3*k - 5*v + 2 = 0, 21*k + 4*v - 4 = 18*k. Let i(p) = 3*p**2 - 3*p - 2. Determine i(k). 34 Let o(z) = -z**2 - 8*z + 11. Let v(g) = g**3 - 7*g**2 + 8*g - 21. Let d be ((-10)/15)/((-2)/45). Let n = -9 + d. Let f be v(n). Give o(f). 2 Let k(h) = h**3 - 40*h**2 - 33*h - 324. Let a be k(41). Let p(y) = 4*y - 1. Calculate p(a). 15 Let f = -1042 - -1049. Let x(s) = -2*s**2 + 15*s - 27. Let q(d) = -d**2 + 7*d - 14. Let w(z) = 7*q(z) - 4*x(z). What is w(f)? -18 Let v(h) = 89*h - 1154. Let c be v(13). Let b(l) = -8*l + 18. What is b(c)? -6 Let c(b) = -b**3 + 3*b**2 + b. Let j be c(3). Suppose 2*h + 4 = j*h. Let o(y) be the first derivative of -y**2/2 + 3*y + 776. Calculate o(h). -1 Let a be 99 - (-1 + -7)*-1. Let y(r) = -r - 5*r - 87 + 7*r + a. Calculate y(-2). 2 Let z(x) = x**3 + 7*x**2 - 10*x - 8. Let l(c) = -c**3 + 10*c**2 - 8*c + 16. Let w be l(8). Let v be (2/4)/((-5)/w*1). Determine z(v). 8 Suppose -5*x + 7*v - 44 = 3*v, -x + 8 = -5*v. Let t(n) = -n**2 - 15*n - 53. Determine t(x). -17 Let w(s) = 43*s - 63. Let r(z) = 5*z - 8. Let m(y) = -51*r(y) + 6*w(y). Let j be m(-10). Let t(g) = -2*g**3 - g + 1. Give t(j). 1 Suppose 19*p + 8891 = 8967. Let q(d) = d - 11. What is q(p)? -7 Let p(a) = -181 - 173 - 8*a - 173 + 528. Let f(k) = -12*k + 2. Let g(w) = 5*f(w) - 8*p(w). What is g(-6)? -22 Let d(c) = 18*c - c**3 - 1126127 + 4*c**3 + 1126146 + 18*c**2 - c**3. What is d(-8)? 3 Let a = 19 - 19. Let p = 6 - 2. Let x(d) = -d + 1 + 4*d - p*d + a. Give x(6). -5 Let h(a) = a**2 - 9*a + 4. Let m(x) = -x**3 - 2*x**2 + 28*x - 8. Let g(z) = -3*h(z) - m(z). Let q = 3 - 3. Calculate g(q). -4 Let p(j) = 5215 + 4*j**2 - 10420 + 5264 - 3*j**2 + 18*j. Determine p(-6). -13 Let h(u) be the first derivative of u + u**2 - 109 + 2/3*u**3. Let d = -1 - 0. Give h(d). 1 Let g(w) = -w**3 + w**2 - 2*w - 2. Let k = 1909 - 1905. What is g(k)? -58 Let p(i) be the third derivative of 0 - 50*i**2 - 8/3*i**3 + 1/12*i**4 - 2*i. Give p(7). -2 Let i(s) = 16*s + 20. Let y(t) = 6*t + 7. Let p(o) = 4*i(o) - 11*y(o). Let m be (-12)/(-16)*-2*-2. Suppose -5 - 4 = -m*u. What is p(u)? -3 Let z(f) = -6*f**2 + 5*f**2 - 13889*f + 13881*f + 7. Calculate z(6). -77 Let a = -781 + 782. Let y(p) = -2 - 107*p + 108*p + 6 - a - p**2. Let u be 4/2 - (1 + 4). Give y(u). -9 Let o(r) = 24*r - 55. Let v(i) = 8*i - 22. Let m(n) = 3*o(n) - 8*v(n). Determine m(-2). -5 Let x(t) = t**3 - 6*t**2 - 7*t + 14. Let g be (23/(-46))/((-7)/(-6)*(-12)/168). Calculate x(g). -28 Let i(j) = 21*j + 85. Suppose -288*s + u = -285*s + 8, 16 = -3*s - u. Calculate i(s). 1 Let g be (-5)/3*4011/955. Let b(p) = -p**2 - p. Let w(i) = -5*i**2 - 13*i - 1. Let o = -7 + 11. Let k(q) = o*b(q) - w(q). Calculate k(g). -13 Let v(y) be the first derivative of -y**6/120 - y**5/10 - y**4/12
{ "pile_set_name": "DM Mathematics" }
-43865225450.387 What is -30209.6964086 - -2? -30207.6964086 Total of 710482.28 and -2699697. -1989214.72 What is 0.318756 less than -50330705? -50330705.318756 Work out 2256567912 + 24.82. 2256567936.82 What is -0.1 + -563.5846153? -563.6846153 -0.4 + -45160728267321 -45160728267321.4 253.56429 + -122.0336 131.53069 What is -2279844846.9 - 19? -2279844865.9 Calculate -30961.6170910876 + -0.1. -30961.7170910876 Calculate -1612231353361 - -0.05. -1612231353360.95 -200 + 0.1901448546 -199.8098551454 Add together 3189.958054645 and 0.04. 3189.998054645 What is -29900682 minus 243149? -30143831 What is the difference between 0.379 and 1352.786219? 1352.407219 What is 0.161 less than -2998433479? -2998433479.161 Calculate -62653.956279 - 67. -62720.956279 Calculate 0.12 + 45146501945. 45146501945.12 Subtract 261685 from 197211. -64474 Subtract -207778572.031 from 0.01. 207778572.041 -3.97 + 5944.43033 5940.46033 What is the difference between -63977 and 1483.219? 65460.219 Subtract -0.06 from -10743166216026. -10743166216025.94 Put together -0.038 and 1944573501. 1944573500.962 Add -1.33114 and 56.1795705. 54.8484305 Add -133609 and 1106831. 973222 What is -2679 take away -794337635.9? 794334956.9 -706487893+-11.8 -706487904.8 What is -896007519.5 take away 15.95? -896007535.45 Work out -0.019 - -8978992118. 8978992117.981 What is -0.13 plus 87368.627318? 87368.497318 Put together 0.5 and -882078596291. -882078596290.5 What is the distance between -1601 and 86017277? 86018878 Calculate -5 + 38022594026. 38022594021 What is -211181988.64 plus -0.1? -211181988.74 Add -3 and -566815021939. -566815021942 Total of -25943.4679 and -76958. -102901.4679 Sum 5 and 1564.2628242803. 1569.2628242803 What is -4923403629 - -17.7? -4923403611.3 525579647.504+3 525579650.504 Sum 28225794 and -19403216. 8822578 -74.89 - -16462956723 16462956648.11 Total of 12 and 5839146108.56. 5839146120.56 Total of 332094430544 and 31.41. 332094430575.41 Work out -2.599082 - 214.42. -217.019082 What is -4880430035 take away -121475? -4880308560 Add together 477 and 18537.7679589. 19014.7679589 Work out 38.15838928 - 17514. -17475.84161072 What is -25737743582 - -126? -25737743456 What is the difference between 35832639035 and -87? 35832639122 Add together 485 and -2742834807. -2742834322 -241522.71318197 - 3 -241525.71318197 Calculate -116.6311293 - -169. 52.3688707 What is -42.336196 less than -0.25029? 42.085906 Sum -552595 and 11916. -540679 What is 1578840825 take away -187? 1578841012 What is -11.5586572 plus 0.0055766? -11.5530806 Sum 10.6 and -38.398522083. -27.798522083 14389 + -97928829 -97914440 What is 0.5 + 202428447360603? 202428447360603.5 Calculate -11 + -269786244. -269786255 What is 0.28249695 + 8659597? 8659597.28249695 Work out -51742809 + -906711. -52649520 Add 99.0197102 and -25.8. 73.2197102 What is -66.6888133 + -0.109751? -66.7985643 Work out -160204516542 - 0.08. -160204516542.08 Work out 0.0263693 - 686221. -686220.9736307 Add -3.2701731431231 and -52. -55.2701731431231 Add together 0.1 and 398.55231101. 398.65231101 Calculate 297828 + -804.9007. 297023.0993 Calculate -1.7415 - -183.120694. 181.379194 -0.3 + -6104090081125 -6104090081125.3 Work out -3 + 462004133015.74. 462004133012.74 Calculate 32.9 - -251560385. 251560417.9 11.067074 + -0.166248 10.900826 What is -2328575825141 - -2.73? -2328575825138.27 What is 7159690.518914 - 18? 7159672.518914 -72003308+-0.0644 -72003308.0644 What is -6407.48 - 5689? -12096.48 Total of 26176989220 and -1. 26176989219 Subtract 26431.75917 from 31. -26400.75917 Work out 19 - 2411473413. -2411473394 What is -65 less than 2570320776656? 2570320776721 592322.8+5297277 5889599.8 883641710169 - 2 883641710167 Work out -460.03126 + -174.721. -634.75226 Add -1836.991 and -4.9132445. -1841.9042445 -900+-2758.127488 -3658.127488 What is 12236880.7 - -1.5465? 12236882.2465 Add together -385481110652872 and -2. -385481110652874 Subtract -4424681 from -91.13. 4424589.87 Total of 0.5 and -198163919386. -198163919385.5 Work out -0.1 - 0.937126799671. -1.037126799671 What is the difference between -556880 and -89235? 467645 What is -71897 less than 11.427664? 71908.427664 What is -43328983260.65 take away -0.1? -43328983260.55 Subtract 0.0378573 from -15.971139. -16.0089963 Add together 32.5 and -1071943647153. -1071943647120.5 Total of -33319545 and -13796. -33333341 Sum 1960616.02 and -4.869. 1960611.151 0.062303+42198356 42198356.062303 Calculate 0.06 + 12415299.091. 12415299.151 Calculate -1474.66909428 - -0.3. -1474.36909428 What is 0.0152771989448 - 2? -1.9847228010552 47495.7535337 + -356 47139.7535337 What is the difference between -125366303 and -2.225? 125366300.775 Total of 4433.8229169 and -606. 3827.8229169 What is 0.3001 + 2050798.8038? 2050799.1039 What is the distance between 24869 and 1893801? 1868932 Sum 1027 and 55.746698044. 1082.746698044 Work out 722403713 + 0.0411967. 722403713.0411967 Subtract -0.0296 from -262229370.7. -262229370.6704 What is 0.667 + -341267133? -341267132.333 What is -5.27 take away 4406862118.2? -4406862123.47 Put together -0.2 and 0.228474702082059. 0.028474702082059 Subtract 217339961.9 from 1.803. -217339960.097 What is the distance between 6965463875175 and 0.15? 6965463875174.85 Work out -603047102 + 0.070452. -603047101.929548 What is the difference between 4 and -515681.1458128? 515685.1458128 What is -614411.5 - -12627691? 12013279.5 What is the distance between 0.3 and 147596102644.1? 147596102643.8 What is 42713 minus -7194750.621? 7237463.621 Calculate 166203616.377 - -36.9. 166203653.277 What is -1377682025 minus 10.5? -1377682035.5 Total of 0.2 and -0.081861696398. 0.118138303602 Subtract 17.87827 from 8420573. 8420555.12173 Put together 3671514.3777887 and 0.06. 3671514.4377887 2 + 0.02664253708991 2.02664253708991 -0.3 + 30.67551645667 30.37551645667 What is -15806785 minus -0.069096? -15806784.930904 -4238494286 - -17.394 -4238494268.606 47683911+-0.01032 47683910.98968 What is -6.4 + -10.14468251? -16.54468251 Work out -3702690609 - 82.7. -3702690691.7 What is the distance between 4319333.37247 and -0.02? 4319333.39247 What is the distance between -198 and 3456674878? 3456675076 -6.9339 + 177338 177331.0661 Work out -106158 + -58.6431. -106216.6431 Calculate 0.118329371 + -175473. -175472.881670629 Subtract 25.1234003586 from 16. -9.1234003586 What is -4666028006.5571 + -1? -4666028007.5571 What is -0.42488118 minus 0.286? -0.71088118 What is -3.34075794 take away 1458185? -1458188.34075794 Total of 2526540 and 0.08668254. 2526540.08668254 Sum 872151.88 and 442031. 1314182.88 What is 12798940 take away 68.49281? 12798871.50719 What is -2 minus -4968199.0088353? 4968197.0088353 Sum 1073624 and -249004. 824620 What is 0.2 minus -10234517196816? 10234517196816.2 Subtract -173972157732 from -4. 173972157728 Work out -252762 + 257743.74. 4981.74 Add -1140775171906295 and 0.2. -1140775171906294.8 What is -0.3 + -22874.401665? -22874.701665 0.755 - -50556854942 50556854942.755 Total of 63169 and 20738144. 20801313 Add -202509345004 and 33. -202509344971 What is 0.9495 less than -228.707523? -229.657023 Subtract 1.06 from -1900229601. -1900229602.06 Total of -22393555 and -169. -22393724 What is -11 plus -31.95240333431? -42.95240333431 What is -4658244270656.5 take away 0.01? -4658244270656.51 Subtract -12107430085410 from 2.1. 12107430085412.1 Work out 9619106122 - -1.1. 9619106123.1 -88.2688 - -205.8577 117.5889 What is 36 plus 115962430569.44? 115962430605.44 Add together -1507.3 and -138.2701. -1645.5701 Sum -166161270298689 and 0.1. -166161270298688.9 What is 0.49793005494 plus 0.04? 0.53793005494 What is -39676 take away -320.5911346? -39355.4088654 What is 8 - -9149501288090? 9149501288098 -0.4748 + -0.67468401 -1.14948401 What is 12951662 - 91199? 12860463 Add -16085093455 and -135.97. -16085093590.97 What is 0.4 plus 5.009870201265? 5.409870201265 What is -5670213 plus 269.68137? -5669943.31863 -1382745031+-10040 -1382755071 Work out -6747465133 + -82. -6747465215 Subtract -318.39974273 from 1.2. 319.59974273 Add -87533288 and 3.047. -87533284.953 What is 2153890305213 plus 0.1? 2153890305213.1 Total of 2586555086.57 and 5. 2586555091.57 Add 129219354 and 98211. 12
{ "pile_set_name": "DM Mathematics" }
ve of 18*h**4*j*k - h**4 + 8*h**3*j*k - 3*h**2*j - 27*h*j*k + h*j - h wrt h? 432*h*j*k - 24*h + 48*j*k Differentiate -4474*n - 2253 with respect to n. -4474 Find the first derivative of 533*s + 439. 533 What is the second derivative of q**5*r**3 + 4*q**3*r + 4*q**2*r**3 - 15*q*r**3 + 3*q - 3*r**3 wrt q? 20*q**3*r**3 + 24*q*r + 8*r**3 What is the third derivative of 587*w**3 + 72*w**2 wrt w? 3522 Find the second derivative of 381*t**4 - t + 139 wrt t. 4572*t**2 Find the second derivative of 1351*h**4 - 2*h**2*i - 1602*h*i - h wrt h. 16212*h**2 - 4*i What is the second derivative of -2*a**4 - 703*a**3 + 2*a**2 - 7671*a wrt a? -24*a**2 - 4218*a + 4 What is the first derivative of 612*j*n**2 - 14*n**2 - 5 wrt j? 612*n**2 Find the second derivative of 12*f**2*i*u - 6*f**2*i + 2*f**2 + f*u + 7*f + 8*i*u wrt f. 24*i*u - 12*i + 4 What is the second derivative of -235*f*p**5 + f*p - 2*f - p**2 + 22*p wrt p? -4700*f*p**3 - 2 What is the second derivative of 54*m*o**2*v + 3*m*o**2 + 3*m*o*v + m*v + 3*o**2*v + 3*o - 19 wrt o? 108*m*v + 6*m + 6*v Find the second derivative of 105*k**3*t**3 + 2*k**2*t**3 - 2*k*t**2 - 7*k*t + 2*t**3 wrt k. 630*k*t**3 + 4*t**3 Find the second derivative of -j*z**3 + 8*j*z**2 + 9*j*z + 13*j wrt z. -6*j*z + 16*j Find the second derivative of 1850*j**4 - 1984*j wrt j. 22200*j**2 What is the first derivative of 1155*m**4 + 687 wrt m? 4620*m**3 What is the third derivative of -5*h**6 - 2*h**5 - 7*h**2 - 12*h wrt h? -600*h**3 - 120*h**2 Differentiate 17*d + 441. 17 What is the third derivative of 5632*w**5 + 10*w**2 - 33*w - 2 wrt w? 337920*w**2 Differentiate l**3*x**2 + 1127*l**3 + l**2*x + 98*x**2 wrt x. 2*l**3*x + l**2 + 196*x Find the second derivative of -161*i**5 + i**4 - 8*i - 37. -3220*i**3 + 12*i**2 What is the derivative of 4142*g*m + 8160*m wrt g? 4142*m What is the third derivative of 2*j**3*k**2 - 3093*j**3 + 3*j**2*k + 95*j*k**2 - k**2 - 2 wrt j? 12*k**2 - 18558 What is the first derivative of 2*c**2*p**2*w**2 - 2*c**2*p**2 + 61*c**2 + 225*c*p**2*w - 2*c*p**2 wrt w? 4*c**2*p**2*w + 225*c*p**2 What is the derivative of -6*b*l**3*v**2*z - 10*b*l**3*v**2 + 136*b*l**2*v*z + 4*b*l*v + l**3*v + 4*v**2 wrt z? -6*b*l**3*v**2 + 136*b*l**2*v Find the third derivative of -214*f**5 + 247*f**2. -12840*f**2 What is the second derivative of -3*f**2*n**2 - 16*f**2*n*u**3 - 2*f**2*n*u**2 - 2*f*n**2*u**3 - f*n**2 + 2*n**2*u**3 + 8*n**2 wrt f? -6*n**2 - 32*n*u**3 - 4*n*u**2 Find the first derivative of -9049*m**2*y + 22*m**2 - 23*m + 1 wrt y. -9049*m**2 What is the third derivative of 2*a**6 - a**5 - 5563*a**3 + 12*a**2 - 288*a + 1 wrt a? 240*a**3 - 60*a**2 - 33378 Differentiate 233*u + 102. 233 Find the third derivative of 499*q**3 - 838*q**2. 2994 Find the third derivative of -16214*l**4 - 22989*l**2. -389136*l Find the third derivative of -j**6 - 9*j**4*l - 72*j**4 + 275*j**2 + 2*l wrt j. -120*j**3 - 216*j*l - 1728*j Find the third derivative of 153*r**3 + 245*r**2 wrt r. 918 Find the third derivative of 284*n*p**5 + n*p**3 - 5*n*p**2 + 6*n*p - 3*p**6 + 3 wrt p. 17040*n*p**2 + 6*n - 360*p**3 What is the second derivative of 5*p**4 + 227*p**3 - 89*p - 7 wrt p? 60*p**2 + 1362*p Find the third derivative of -48*a*g**2*u**3 - 2*a*g**2*u**2 + 10*a*u**2 - 5*g**2*u**2 - 2*g*u**2 wrt u. -288*a*g**2 Find the second derivative of -27521*o**2*x**2 - 2*o + 483*x**2 - 4*x + 1 wrt o. -55042*x**2 Find the second derivative of -44*y**5 - 38*y + 4. -880*y**3 What is the first derivative of 1230*d**2 - 308 wrt d? 2460*d What is the second derivative of 3*t**4 - 14*t**3 + 32*t**2 + 304*t - 4 wrt t? 36*t**2 - 84*t + 64 What is the third derivative of -d**6 + d**3 + 18*d**2 wrt d? -120*d**3 + 6 What is the third derivative of 647*b**5 + 13*b**2 + 5*b wrt b? 38820*b**2 Find the second derivative of -390*u**5*w**2 - 2*u**3*w**2 + 132*u*w**2 - u*w wrt u. -7800*u**3*w**2 - 12*u*w**2 What is the third derivative of -3*g**3*q**2 - 187*g**3*q*t - g**2*t - 19*g**2 + 4*q**2*t wrt g? -18*q**2 - 1122*q*t Find the second derivative of 1141*q**3 + q + 749. 6846*q What is the second derivative of -2*a*j**5 - 11*a*j**4 + 274*a*j + 3*j**3 wrt j? -40*a*j**3 - 132*a*j**2 + 18*j What is the first derivative of -252*j**2*v + 126*j**2 - j wrt v? -252*j**2 What is the third derivative of -2*k**2*p**6 + 1274*k**2*p**3 - 303*k**2*p**2 - 13*k**2*p + k**2 wrt p? -240*k**2*p**3 + 7644*k**2 What is the third derivative of 392*p**5*v - 2*p**2*v - p**2 - 6*p wrt p? 23520*p**2*v Find the second derivative of h**5 - 1059*h**3 + 54*h - 1 wrt h. 20*h**3 - 6354*h Find the first derivative of 14203*r**3*y + 156*r**3 + 16*r + 2 wrt y. 14203*r**3 Differentiate g**2*n**3 - 2*g*n**3 - 22*g*n**2 + 5*n**3 + 7*n**2 wrt g. 2*g*n**3 - 2*n**3 - 22*n**2 What is the second derivative of 1672*f**3*j*w**2 - f**3*w + 47*f**3 + 7*f**2*j*w - f**2*j - f*j*w**2 wrt w? 3344*f**3*j - 2*f*j What is the derivative of 15*f*t**3 - f*t**2 + 2*f + 11 wrt t? 45*f*t**2 - 2*f*t Find the second derivative of -681*b**2*p**3 - 2*b**2*p**2*y + 26*b*p**3*y - b*p**3 + 2*b*p*y + 26*p**3*y - p*y wrt b. -1362*p**3 - 4*p**2*y Find the first derivative of 422*l*r**3 + r**3 + 25*r**2 wrt l. 422*r**3 What is the second derivative of -298*v**2 - 1987*v? -596 What is the second derivative of -17*n**3*w**5 + 59*n**3*w - n**2*w**4 + w wrt w? -340*n**3*w**3 - 12*n**2*w**2 Find the first derivative of 28*b**3 + 40*b - 7278. 84*b**2 + 40 What is the third derivative of 3*a**6*f + 11*a**4*f**2 - 4*a**3*f - 8*a**2 + 25*f**2 wrt a? 360*a**3*f + 264*a*f**2 - 24*f What is the derivative of -2559*p + 2435? -2559 Differentiate -3284*p**3 - 943. -9852*p**2 Find the second derivative of 10*f**2*k**4 + 6*f**2 - f*k**4 + f*k + 3*k wrt k. 120*f**2*k**2 - 12*f*k**2 Find the third derivative of 4636*j**4 + 576*j**2 wrt j. 111264*j What is the second derivative of -13*h**3*q - 2*h**3 - 17*h**2*q + 2219*h*q wrt h? -78*h*q - 12*h - 34*q What is the second derivative of 1616*l**2*v - 2*l*v - 2*l + 224*v wrt l? 3232*v Differentiate -4*i*v**3*y - 380*i*v**2 - 433*i*y + 2*i + 3*v**3 - 2*v**2*y wrt y. -4*i*v**3 - 433*i - 2*v**2 What is the third derivative of -2*a**3*c**3 - 4*a**3*c**2*k + 8*a**3*c - 56*a**2*c**3*k - 2*a**2 + 2*a - 5*c**2*k wrt a? -12*c**3 - 24*c**2*k + 48*c What is the third derivative of -2169*c**6 + 6544*c**2? -260280*c**3 Find the first derivative of 196*a*l*n**2 + 2*a*l*n + 16*a*l + 81*l + 3*n**2 wrt n. 392*a*l*n + 2*a*l + 6*n Find the second derivative of -18*f**2*k**2*q**3 - f**2*k**2 + 5*f**2 + f*k**2*q**2 - 2*f*q**3 + 23*k - 3*q**3 wrt f. -36*k**2*q**3 - 2*k**2 + 10 Find the first derivative of -12*o*v**3 + o*v - 19*v**3 - 6*v**2 wrt o. -12*v**3 + v What is the second derivative of 3*c**2*i**2*o - 954*c**2*x**3 - 2*c*i**2*x**3 + 1345*c*i**2*x**2 - 2*c*i**2*x - i**2*o*x**2 wrt c? 6*i**2*o - 1908*x**3 What is the third derivative of 1358*c**4 - 2*c**3 + 8218*c**2? 32592*c - 12 What is the first derivative of 1188*j*t**3*w**3 + 3*j*t*w - t**3*w - 320*t**2*w**2 + 20*t*w**3 wrt j? 1188*t**3*w**3 + 3*t*w What is the third derivative of 13*g**5*s + 79*g**4 - 5*g**2*s - 37*g*s - 4*g wrt g? 780*g**2*s + 1896*g What is the derivative of -48*r**2*s**2 - 2*r*s**2 - 4*r - 7*s**2 + 81*s + 3 wrt r? -96*r*s**2 - 2*s**2 - 4 Find the third derivative of -43*p**3*y**3 + 69*p**3 + 2*p**2*y**2 wrt y. -258*p**3 Find the second derivative of -6*y**5 + 440*y**2 - 25525*y wrt y. -120*y**3 + 880 Find the third derivative of -333*b**5 - 2*b**4 - 3*b**3 - 2*b**2 - 33. -19980*b**2 - 48*b - 18 Find the first derivative of -21701*d*o*s**2 - d*s**3 - 2*o*s**3 + 2*o - 2*s - 18 wrt d. -21701*o*s**2 - s**3 What is the second derivative of c**2*n**2*s**2 + 3*c**2*n + 4*c*n**2*s**2 + 11*c*n + 23*n**2*s - 3*n*s**2 wrt n? 2*c**2*s**2 + 8*c*s**2 + 46*s Find the third derivative of -6051*p**3 + 132*p**2 + 2*p + 2. -36306 What is the first derivative of -1925*b*c**2*g - 4*b*c*g**2 - 3*c**2*g - 6659*g**2 wrt b? -1925*c**2*g - 4*c*g**2 Differentiate d**3*p*t + 6*d**3*s*t - d**3*s + 5*d**2*p*s*t - d**2 + 87*p*t - s + 9*t with respect to p. d**3*t + 5*d**2*s*t + 87*t What is the third derivative of -a**3*d**2 + 8*a**3*d*p**2 - 5*a**3*p**2 + 2*a**2*p**2 - a*d**2*p**2 + 4*a*d**2 + a*d*p**2 wrt a? -6*d**2 + 48*d*p**2 - 30*p**2 What is the third derivative of -18828*x**3 - 3461*
{ "pile_set_name": "DM Mathematics" }
770. Does 14 divide b? False Let r(p) be the first derivative of p - 1/2*p**2 + 1/4*p**4 + 5/3*p**3 - 1. Is r(-5) a multiple of 6? True Let b(x) = -x**2 + x. Let w(s) = 4*s**2 + 7*s - 6. Let p(n) = -2*b(n) + w(n). Suppose 0 = 2*j - 10 + 4. Does 21 divide p(j)? True Suppose -5*i - q = -1502, -2*q - 298 = -i - q. Does 30 divide i? True Let u(a) = 0*a**2 + 2*a**2 - 2*a - 1 - 5 - 4*a**2. Let k be u(3). Is 11 a factor of (k/8)/((-5)/20)? False Is 141/(86/10 + -8) a multiple of 21? False Suppose -155 = -2*s - 27. Does 16 divide s? True Let i = -24 - -9. Let w = 13 + i. Does 13 divide 265/20 + w/8? True Does 44 divide 17424/(-45)*90/(-36)? True Let v be (-12)/(-16) - 62/8. Let n = 12 + v. Suppose l = 31 + n. Is 10 a factor of l? False Let f = -195 + 279. Is 25 a factor of f? False Suppose 9*g = 3 + 42. Let q = g - -143. Is q a multiple of 10? False Is 8 a factor of (-1)/3 - 5808/(-198)? False Let m(z) = 2*z**2 - 12 - 1 - 2*z - 9 + 7. Is 7 a factor of m(7)? False Let u = -31 + 38. Suppose -u*w + 0*w = -35. Is 4 a factor of w? False Let v(p) = -p**3 + 9*p**2 + 13*p - 12. Let y(o) = o**2 - 12*o + 20. Let a be y(11). Is 31 a factor of v(a)? False Let v(o) = -o**3 + 11*o + 6. Is 14 a factor of v(-10)? True Suppose -h + 165 = 4*h. Let j = 60 - h. Is 4 a factor of j? False Suppose 2*y + 207 = 3*y. Suppose 3*g = 603 - y. Does 6 divide g? True Let c(u) = u**3 - 4*u + 66. Is c(0) a multiple of 2? True Suppose 19*x - 26*x = -1120. Suppose 4*r = x - 8. Is 19 a factor of r? True Suppose -23*a + 44*a = 8820. Does 18 divide a? False Let j(w) = 6*w**2 + 7*w - 7. Let a(u) = -7*u**2 - 8*u + 8. Let v(h) = 5*a(h) + 6*j(h). Does 19 divide v(11)? False Let v(p) = -78*p**3 + p - 3. Suppose f - 18 = -5*m, 12 = -2*f + 6*f. Let o be v(m). Is o/(-24) - 2/(-8) a multiple of 16? False Suppose 2*q - f = 9, 0*q + 10 = 2*q - 2*f. Suppose -q*v = 3*n - 91 - 66, 5*v + 5*n - 200 = 0. Does 5 divide v? False Let h = 724 - 256. Does 18 divide h? True Suppose 12*i + 1825 = 17*i. Let m = i + -244. Does 6 divide 4/(-20) + m/5? True Suppose 3*j - 8 = -l, 4*l + j - 1 - 9 = 0. Suppose l*b - 3*b + 80 = 0. Is 20 a factor of b? True Suppose -2*s = -2, -4*o + 2*s - 5 = 5. Let y(p) = -15*p - 8. Is y(o) a multiple of 4? False Let c(b) be the third derivative of b**6/360 + b**5/120 - b**4/24 - 5*b**2. Let k(m) be the second derivative of c(m). Is k(4) a multiple of 4? False Let t = 31 + -9. Let g = t + 2. Does 6 divide g? True Suppose -4*u - 153 = -5*i, -76 = -4*i - 2*u + 36. Let n = i - 8. Is n even? False Let v be 111*8/6*1. Suppose -o + 3 = -47*m + 44*m, m + 6 = 2*o. Suppose v = o*k - 0*k - n, 3*k - 2*n = 152. Is 11 a factor of k? False Suppose 1 = -4*u + 5*u. Is (4*(-1)/u)/(6/(-33)) even? True Suppose -5*w + 15 = b, -5*b + b + 2*w - 28 = 0. Let g(h) = 11 - 6*h - 2 + 7*h. Is 2 a factor of g(b)? True Suppose 2*l + 16 = 2*j, 3*j = 2*j + 2*l + 5. Suppose -j*t = -16*t + 380. Is 13 a factor of t? False Let i(b) = b**3 - 12*b**2 - 19*b + 100. Is i(15) a multiple of 17? False Does 13 divide (2 - 3)*4 + 1128 + 33? True Is (-3)/51*-1494 - (-6)/51 a multiple of 8? True Let f(c) = 2*c**2 + c - 10. Let r be f(-6). Let g = r + -47. Is 9 a factor of g? True Suppose -3 - 5 = -4*q. Suppose -4 = -k + q*c, 3*k - c = -2*k + 11. Is 9 a factor of 4 - (-86 - -4)/k? True Let q(r) = -r**2 - 19*r - 5. Let m be q(-18). Suppose m*o - 9*o - 192 = 0. Does 12 divide o? True Let r be ((-38)/(-8))/(2*9/216). Suppose -r = -14*o + 11*o. Is o a multiple of 3? False Suppose -121 = -19*w + 107. Does 7 divide w? False Let n(h) = -4*h**2 - 10*h + 2. Let t(m) = m**2 + m - 1. Let o(j) = 2*n(j) + 10*t(j). Does 9 divide o(11)? True Suppose 2*k + 51 = 57. Let c = 109 - 35. Suppose -3*y - 19 - c = -3*m, 5*m + k*y - 195 = 0. Does 18 divide m? True Let b = 2546 - 1490. Is b a multiple of 14? False Let o(c) = 6*c. Let x be o(6). Suppose 0 = -2*r - p - 0*p + x, -16 = 4*p. Suppose 0 = -u + r - 3. Is 14 a factor of u? False Let g be ((-4)/(8/18))/(-1). Let q be 1/(3/g) - -2. Suppose 4*x - 245 + q = 0. Is 20 a factor of x? True Suppose 368 - 1072 = -32*b. Does 2 divide b? True Let l = -376 - -314. Let n = 212 + -102. Let h = l + n. Does 16 divide h? True Let r = -49 + 39. Is 6 a factor of -13 + 12 - (r + -1)? False Let p(m) = m**3 - 9*m**2 + 6*m - 15. Let v be p(6). Let k = 22 - v. Is 10 a factor of k? False Suppose -4*a = 5*l + 105, 6*l + 84 = 2*l - a. Suppose -5*x + 151 = 1. Let s = x - l. Is 16 a factor of s? False Suppose h - 4*h - 4*j = -16, 4 = 4*j. Is h/(-28) - (-99)/7 a multiple of 7? True Does 49 divide 2526338/902 - (-4)/22? False Suppose 5736 = 9*h - 1824. Suppose 5*g - h = 2*x + 2*x, 0 = -g - 4*x + 192. Is 22 a factor of g? False Let j(z) = 3*z**2 + 10*z + 21. Is 18 a factor of j(-5)? False Suppose -3*r = 2*r - 4*y - 4958, 0 = 5*r + y - 4948. Is r a multiple of 13? False Let p(d) be the third derivative of d**6/120 - d**5/10 + 2*d**4/3 - 31*d**2. Is p(4) a multiple of 4? True Let u be (6 + -5)/(2/8). Let h(j) = 3*j**2 - 10*j + 1. Let n be h(u). Suppose -3*b + 66 = d, -5*d - n + 3 = -b. Does 4 divide b? False Let a be (-1)/3 - (-708)/(-36). Let n = 36 + a. Is 4 a factor of n? True Let m(f) = 2 + 4*f - 4 + 3 + 2*f**2 - 5. Let q be (12 - 10)*14/(-4). Is 22 a factor of m(q)? True Let l = -1380 + 2340. Is l a multiple of 16? True Let g = -65 + 74. Suppose -4*h + 1075 = 179. Suppose -n = -g*n + h. Is 13 a factor of n? False Suppose 2*i + i = -2*t - 11, -5*i = 5*t + 15. Suppose 402 = 3*q - t*y, -2*q + 3*y + 276 = -y. Does 17 divide q? False Suppose 0 = -4*t - t - 3*v - 24, -4*t - 4*v = 24. Let o be ((-20)/30)/(276/(-135) - -2). Let r = o + t. Does 12 divide r? True Let o = -48 + 72. Suppose -29 + 3 = -4*w + x, -o = -5*w - 3*x. Suppose -w*z + z = -35. Is z a multiple of 7? True Suppose 12888 = 24*d - 9336. Is 64 a factor of d? False Let f = -395 - -535. Is 18 a factor of f? False Suppose -6*v = -4*v - 10. Suppose 2*a + 3*a - 4*z - 420 = 0, -v*z = 5*a - 420. Is 28 a factor of a? True Let x(y) = -y**2 - 4*y + 2. Let o be x(-4). Suppose o*j + 10 = 0, 4*q - 153 - 5 = 2*j. Does 21 divide q? False Let f = 1159 + -683. Is 14 a factor of f? True Suppose -1800 = -57*b + 32*b. Is b a multiple of 3? True Let q = -15 - -28. Suppose -q = -o + 8. Suppose -21 = -z + o. Is 14 a factor of z? True Suppose -3 = 3*x + 6. Let a = x - -3. Let k(z) = -3*z + 42. Is k(a) a multiple of 13? False Suppose -2*x + 117 = -3*j - 292, 552 = -4*j - 4*x. Let t = j - -83. Let y = t + 100. Does 23 divide y? True Suppose 5*p = 4*g + 347, -71 = -3*p + 5*g + 145. Let c = p + -43. Is 12 a factor of c? True Let m(u) = -3*u**3 - u**2 - 3*u - 3. Let l be m(-1). Let n = 5 + 0. Suppose -56 = -l*j + j - 4*t, -5*t = n*j - 235. Does 11 divide j? True Is 2*(-15 + 341 + (-4)/1) a multiple of 28? True Does 25 divide (7/1 - -373) + 0 + -5? True Let o(f) = f + 1. Let s(t) = 106*t + 4. Let u(z) = 3*o(z) - s(z). Is u(-1) a multiple of 17? True Let s = -14 - -7. Let x(g) = -3*g + 2. Let k(y) = 10*y - 5. Let q(f) = s*x(f) - 2*k(f). Is 4 a factor of q(8)? True Let z = 86 - -2. Is z a multiple of 9? False Let l(h) = -45*h + 189. Is 18 a factor of l(-36)? False Let d = -26 + 29. Let t be (8 + -8)/(1*-1). Is (2 + t)/(d/33) a multiple of 22? True Let p(x) = -x**2 + 6*x + 2. Let z(d) = d**2 + 2*d + 3. Let v be z(3). Let u be ((-24)/v)/(2/(-6)). Is p(u) a multiple of 4? False Let s(l) = -96*l - 222. Is 67 a factor of s(-16)? False Suppose -3*v = t - 5071, 11*t = 13*t - 2. Does 14 divide v? False Suppose -5*a = -10, 5*h - 3*a - 31 = -6*a. Suppose 106 = y + 5*l, 10*l + 650 = h*y + 5*l. Is 14 a factor of y? True Let m(x) = 2*x**2 - 3*x - 4. Let t be m(3). Suppose 2402 = t*q - 433. Is 21 a factor of q/14 + 3/2? True Suppose 0 = -8*v + 1058 + 286. Does 6 divide v? True Let a(n) = 25*n**2 + n - 39. Is a(12) a multiple of 16? False Is 6 a factor of 68364/396 - 8/(-22)? False Suppose -y + 4 - 2 = 0. Suppose -2 = -5*r + 7*r. Does 14 divide r/(y/(-6)) + 23? False Let a be 8/(-6) + (-8)/(-6). Let u be (3 - 2)*(a - 0). Suppose -5*o + 6*o - 32 = u. Is 8 a factor of o? True Let y be 3 + (4 - (-164 + -1)). Let z = y - 31. Is z a multiple of 38? False Let v(j) = -j**2 - 18*j + 23. Let y be v(-19). Suppose -2*p = -10, 14*o = 19*o - y*p - 1420. Is 35 a factor of o? False Suppose -3*z = -2*b - 8*z + 540, -z = -3*b + 844. I
{ "pile_set_name": "DM Mathematics" }
c + 9084. List the prime factors of m. 13, 233 Suppose -300*l + 319*l = 4902. What are the prime factors of l? 2, 3, 43 Let x(y) = -65*y**2 + 1. Let a be x(-1). What are the prime factors of (-4)/(a/780) - (-3)/12? 7 List the prime factors of 1162 + 2 + (-5 + -2)*1. 13, 89 Let x(d) = -4*d**2 + 2. Let f(l) = 7*l**2 - 1 - 3 - 1. Let u(q) = 3*f(q) + 5*x(q). What are the prime factors of u(6)? 31 Let u(n) = -42*n**3 + n**2. Let g be u(-1). Let x = -20 + g. List the prime factors of x. 23 Let v(j) = j**3 + 5*j**2 - 2*j + 1. Let p be v(-5). Let o = p - 9. Suppose -d - o*y + 17 = 3*y, -3*y = 6. List the prime factors of d. 3 Suppose 0 = 4*w - 2*w - 14. Suppose -5*m - 97 = -w. What are the prime factors of (-3)/m + (-70)/(-12)? 2, 3 Let w(y) = y**2 + y + 3. Let g be w(-3). Let l be ((-4)/(-12))/(1/g). Suppose l*h - 64 = h. What are the prime factors of h? 2 Let r(f) = f**3 - 2*f**2. Let l be r(2). Suppose q - 17 = -l*q. Suppose y - q = -2*g, 0*y - 4*y - 4*g + 80 = 0. What are the prime factors of y? 23 Suppose -4*v + z = 5*z - 15348, 2*v = -4*z + 7666. List the prime factors of v. 23, 167 Let v = 45 + -40. Let m(r) = r**2 + 2*r**2 + 0*r**2 - r - 2 - 2*r. List the prime factors of m(v). 2, 29 Let k(c) be the first derivative of -1/4*c**4 - 10/3*c**3 - 13/2*c**2 + 3 - 9*c. What are the prime factors of k(-9)? 3 Suppose f - t - 98 = 0, -5*t + 17 = 5*f - 483. List the prime factors of (f/(-36))/((-2)/56). 7, 11 What are the prime factors of 163*(0 + (2 - -3)) - 0? 5, 163 Let o(h) = h**3 + 22*h**2 - 24*h - 5. Let s be o(-23). List the prime factors of ((-3)/(s/(-236)))/((-4)/(-6)). 59 Suppose 2*v - v - 3 = 0. Let w = v - -1. What are the prime factors of -1 - -2 - (-8)/w? 3 Suppose -29*z - z = -45150. What are the prime factors of z? 5, 7, 43 Let z(n) = -4*n**3 + 108*n**2 - 9*n + 51. What are the prime factors of z(26)? 2521 Suppose 4*t - 6 = q - 4*q, q - 3*t = 2. Suppose 6 + 40 = q*a. What are the prime factors of a? 23 Let w = 115 - 54. Suppose -64*f + 69 = -w*f. List the prime factors of f. 23 Let w(z) be the second derivative of z**6/240 + 3*z**5/40 - z**4/6 - 7*z. Let g(d) be the third derivative of w(d). List the prime factors of g(8). 3, 11 Suppose 4*h = 8*h - 8. Let z(x) be the second derivative of 7*x**4/12 - x**3/3 - x**2 - 3*x. List the prime factors of z(h). 2, 11 Let i(z) = 1. Let y(q) = -4*q + 2. Let u(d) = 2*i(d) - y(d). List the prime factors of u(4). 2 Let s(a) = -a**3 - 7*a**2 - 9*a + 1. Let l = 16 - 24. Let i be s(l). Suppose 2*o + 3*d + 0*d = i, 3*o = -d + 188. What are the prime factors of o? 61 Suppose -5*y = -3*w + 25, -y + 15 + 6 = 2*w. Suppose 0 = 2*r + 3*r - w. Suppose r*l + 5*p - 44 = 0, 0 = l + 5*p + 11 - 33. What are the prime factors of l? 2, 11 Let k = 35 + -90. What are the prime factors of -14*(k/10 + 5)? 7 Suppose -6*y + 11*y = 0. List the prime factors of y + 120 + (-3)/((-9)/(-12)). 2, 29 Let k be 0/4 - (3 + -13). Suppose -5*j + k + 0 = 0. Suppose j*r + 234 = 8*r. List the prime factors of r. 3, 13 Let d = 1287 - 715. List the prime factors of d. 2, 11, 13 Let y(k) = -6*k**3 - 5*k**2 + 6*k - 2. What are the prime factors of y(-4)? 2, 139 Suppose -o = -f + 11 + 6, -4*f - 2*o = -74. Suppose 0 = 3*q - 0*q + f. What are the prime factors of 426/10 + q/(-15)? 43 Suppose 5*w - 2*w = 3, a - 4*w = 3444. List the prime factors of a. 2, 431 Let f be 12/((-48)/(-20) - 2). Let w be (-1)/(2*3/(-108)). Let j = f - w. List the prime factors of j. 2, 3 Suppose 5*k - 919 = -3*y, 0 = -4*k - 3*y + 459 + 278. List the prime factors of k. 2, 7, 13 Let m(l) = -l**3 - l**2 - 1. Let f be m(0). Let t = f - 1. List the prime factors of t/11 + 1200/66. 2, 3 Suppose 28*n + 4125 = 31*n. Suppose -66*s = -61*s - n. List the prime factors of s. 5, 11 Suppose 2*u - 7 - 33 = 0. What are the prime factors of (-3)/(-2)*u/15*24? 2, 3 Let b = 4 - 0. Let v = 1 - b. What are the prime factors of 1 - (-1)/(-1) - v? 3 Let z = 96 - 41. Suppose -5*y - 15 = 0, z = -5*k - 4*y + 618. List the prime factors of k. 5, 23 Let d(m) = 2*m**2 + 4*m + 79*m**3 + 0*m**2 + 2 + 0*m**2 - 7*m. List the prime factors of d(1). 2, 5 Suppose 12*o - 28 = 5*o. Suppose -736 = -4*s - o*i, 4*s - 2*i - 790 = -24. List the prime factors of s. 3, 7 Let v(u) = -2*u + 2 - 4*u + 4*u - 6. Let s be v(-2). Suppose -4*d + 3*j + 122 = s, 3*d - 79 = 4*j + 16. What are the prime factors of d? 29 Suppose -7*v + 1008 = -3*v. Suppose -3*g - v = -4*i + i, g - 3 = 0. Let c = i - 38. What are the prime factors of c? 7 Suppose 3*v = s - 15, 2*s + 3*v - 5*v - 18 = 0. List the prime factors of 16/(-24) - (-232)/s. 2, 19 Suppose -30*l + 35*l + 10 = 0, -4*x + 3*l = -1622. What are the prime factors of x? 2, 101 Suppose -4*h - 5*m + 1680 = -3766, 2*h - 3*m = 2734. What are the prime factors of h? 2, 11, 31 Let d(y) = 12*y**2 - y + 1. Let f = -13 - -6. Let x(h) = h**2 + 6*h - 6. Let t be x(f). List the prime factors of d(t). 2, 3 Suppose w + 115 - 542 = 0. List the prime factors of w. 7, 61 Let m = 5 - -33. Suppose -42*g + m*g + 120 = 0. List the prime factors of g. 2, 3, 5 Suppose -5*z = -18*z - 884. Let p = z + 159. List the prime factors of p. 7, 13 Suppose -m + 17 = 5. Let x = m + -6. What are the prime factors of (-1*3)/(x/(-64))? 2 Let v = 338 + -203. Suppose -8*f + 5*f = -v. What are the prime factors of f? 3, 5 Let k = -4519 - -8139. What are the prime factors of k? 2, 5, 181 Let d = 352 - 284. List the prime factors of d. 2, 17 Let z(l) = -9*l - 11. Suppose 16*a - 42 = 13*a. Let r be z(a). Let t = r - -197. List the prime factors of t. 2, 3, 5 Let b(t) = 8*t**2 - 6*t - 49. What are the prime factors of b(-9)? 653 Suppose -4*w + 4*z + 7 = z, 3*w = 2*z + 4. Let t(i) be the first derivative of 7*i**3/3 + 3*i - 1. List the prime factors of t(w). 31 Let n(m) = 4*m**2 - 3*m - 2. Suppose 2*p + 4*f + 1 = -3, 4*p - 4 = -4*f. List the prime factors of n(p). 2, 5 Let d(h) = -h**3 - 2*h**2 + 5 + 2*h + 0*h**3 - 3. Let p be d(-2). Let q(f) = -4*f**3 - 2*f**2 + f - 1. What are the prime factors of q(p)? 3, 7 Suppose 0 = 2*v - 5*p - 138, -5*v + 330 = -p - 4*p. Suppose -v - 8 = -o. Suppose 2*u + 2*f - 124 = 6*f, u - 4*f = o. List the prime factors of u. 2, 13 Suppose 0 = 19*s - 24*s + 2410. What are the prime factors of s? 2, 241 Suppose -4*a + 4 = 5*c + 72, -2*a = 4. Let n = -11 - c. Suppose 3*b = -2*y, n = 2*y + 2*b - 1. What are the prime factors of y? 3 Let s = -61 + 65. Suppose s*t + 0*f = f + 204, 2*f = 8. What are the prime factors of t? 2, 13 Suppose 3*c - 91 = -2*a + 585, -2*c = 2*a - 680. List the prime factors of a. 2, 43 Suppose -6*g = 32*g - 19722. List the prime factors of g. 3, 173 What are the prime factors of 7/14*3058*(2 + -1)? 11, 139 Let h = 502 - -480. List the prime factors of h. 2, 491 Suppose -983 - 5512 = -15*o. Suppose -1438 + o = -5*f. What are the prime factors of f? 3, 67 Suppose 32 = -0*j - 4*j. What are the prime factors of 2*(20/j - (-1 - 3))? 3 Let n be 141/45 - (-6)/(-45). Suppose -a = 2*b - 281, -4*b + 705 = 3*a - 142. Suppose -5*c + 10*w = 5*w - a, -n*w = -c + 65. List the prime factors of c. 53 Let j(n) = n**3 + 12*n**2 + 12*n - 9. Suppose 5*k + 15 = -2*g - 40, -k - g = 11. Let v be j(k). What are the prime factors of 5/v + (-37)/(-4)? 3 Let x = -83 - -110. Let m = 65 - x. What are the prime factors of m? 2, 19 Let y = -157 + 484. Suppose 0 = 6*o - y - 99. List the prime factors of o. 71 Let s be (-34)/(-153) - (-169)/9. Suppose 5*z - w = s, -5*z - 3*w + 3 + 0 = 0. Suppose -2*h + 2*i = z*h - 40, -27 = -2*h + 3*i. What are the prime factors of h? 2, 3 Let r(h) = -5*h + 4. Let y be r(3). Let w = -4 - y. Suppose w = 3*z - 74. What are the prime factors of z? 3 Suppose 0*l + 12 = 6*l. Suppose -l*u + 4*u = 0. Suppose 4*g - 2*g - 88 = u. List the prime factors of g. 2, 11 Let d be 26*4/8 + -1. Suppose s = 3*x + d, -2*s - x - 9 = 4*x. Suppose 2*z + s*j = 41, z + 3*j = 3*z - 47. What are the prime factors of z? 2, 11 Suppose 0*r - 177 = -3*r. Let h = 96 - r. Suppose 0*c = -c - 5*j + 1, 0 = -2*c - 3*j + h. List the prime factors of c. 2, 13 Let j(f) be the third derivative of -f**5/60 + f**4/12 + f**3/3 + 4*f**2. Let n be j(0). Suppose g - 19 = -n. What are the prime factors of g? 17 Let r = 8 - -1. Suppose 2*v - i - r = -0*i, 3 = -v - i. Suppose 116 = 5*g - v*f, -g = 2*f - 3*f - 25. What a
{ "pile_set_name": "DM Mathematics" }
.25, 460.3, -2, -4, 6, 1. -4, -2, 0.25, 1, 6, 460.3 Sort -2, -192895795, 3 in increasing order. -192895795, -2, 3 Sort 0, 0.3, 4, -24257, 3, -877 in descending order. 4, 3, 0.3, 0, -877, -24257 Put -5, 13, 0.3736, 7 in ascending order. -5, 0.3736, 7, 13 Put 2/5, -4, 0.5, 98, 6, -19, 130 in descending order. 130, 98, 6, 0.5, 2/5, -4, -19 Put 0.3, -198/146395, -3/7 in decreasing order. 0.3, -198/146395, -3/7 Sort 10, 4, 0, 3, -24, 53, -1 in descending order. 53, 10, 4, 3, 0, -1, -24 Sort 4, 2, 11, 9, -3, -3099 in decreasing order. 11, 9, 4, 2, -3, -3099 Sort 0, -3382, -3, 5, 21 in decreasing order. 21, 5, 0, -3, -3382 Sort -2087, 266, -11, 8 in increasing order. -2087, -11, 8, 266 Sort 0.1, -384, -9655 in decreasing order. 0.1, -384, -9655 Put 28, 2, 0, 174, -1, -2, 3 in descending order. 174, 28, 3, 2, 0, -1, -2 Sort -7, -536107, -2 in descending order. -2, -7, -536107 Put -1, 2757/2, -8, -9/5, 1/6, -12 in descending order. 2757/2, 1/6, -1, -9/5, -8, -12 Sort 121, -19, 1, -4, -3, 0, 2. -19, -4, -3, 0, 1, 2, 121 Sort 1/2, -7, 19, 14, -0.5, -4.3 in increasing order. -7, -4.3, -0.5, 1/2, 14, 19 Sort 6, -5, 162, -17, -4, 2, 1 in descending order. 162, 6, 2, 1, -4, -5, -17 Put 4, 38, 0, -4, -490, 2 in increasing order. -490, -4, 0, 2, 4, 38 Put 32856/5, -2/9, -0.1 in descending order. 32856/5, -0.1, -2/9 Sort 1/6, -312930, 0.4. -312930, 1/6, 0.4 Sort -309277/32, 4, 5 in ascending order. -309277/32, 4, 5 Put 909/5, -2/11, -95 in decreasing order. 909/5, -2/11, -95 Sort -3, -2328, -398, -2 in descending order. -2, -3, -398, -2328 Sort 3, 14, 640357 in descending order. 640357, 14, 3 Sort 25, -549, 4, 0, -1, 5 in increasing order. -549, -1, 0, 4, 5, 25 Put -26, -2472, -8 in increasing order. -2472, -26, -8 Put -0.2, 3, -27/28, 1068/13 in descending order. 1068/13, 3, -0.2, -27/28 Put 10, -14, 3, 30512 in ascending order. -14, 3, 10, 30512 Put -119934, 5, -4, 2 in descending order. 5, 2, -4, -119934 Sort -111, 71, -401, 1, 3. -401, -111, 1, 3, 71 Sort -860, -38, -5, -398. -860, -398, -38, -5 Put -5, -29, 4, -3, -4, 2, -1129 in decreasing order. 4, 2, -3, -4, -5, -29, -1129 Sort -4, -15, 9489089 in decreasing order. 9489089, -4, -15 Sort 1258, 444, 64 in descending order. 1258, 444, 64 Put -5, -4, 1, 51, -233, 4, 3 in descending order. 51, 4, 3, 1, -4, -5, -233 Sort 373, -58, 1, 3, 42 in descending order. 373, 42, 3, 1, -58 Sort -77, 0.06, 2082, -0.4. -77, -0.4, 0.06, 2082 Sort 5, -1, -2, 4, -4, -217, -48 in decreasing order. 5, 4, -1, -2, -4, -48, -217 Sort -0.073, -5, -2/29, -79/4 in decreasing order. -2/29, -0.073, -5, -79/4 Sort -480, 36195, 5, -3 in increasing order. -480, -3, 5, 36195 Sort 4, -24, -791, 261 in increasing order. -791, -24, 4, 261 Put 7334, -206, 15 in ascending order. -206, 15, 7334 Put -1, -1140, 17, 9 in ascending order. -1140, -1, 9, 17 Sort -1, -2/7, -4, -0.38, -5, -25/7 in ascending order. -5, -4, -25/7, -1, -0.38, -2/7 Sort 9, 0, -0.26, -16, 14.7 in decreasing order. 14.7, 9, 0, -0.26, -16 Put 4, 2, -24914, 78 in ascending order. -24914, 2, 4, 78 Put -1185855, -1, -22 in descending order. -1, -22, -1185855 Put 319, -8981, -0.2, 3 in decreasing order. 319, 3, -0.2, -8981 Put 0.3, 4/5, 102542.8 in descending order. 102542.8, 4/5, 0.3 Sort -5, -3, 25, -9, -2, 42, -1 in decreasing order. 42, 25, -1, -2, -3, -5, -9 Sort -44474, 1, 1621 in decreasing order. 1621, 1, -44474 Sort -24, -1, 74982, 3 in descending order. 74982, 3, -1, -24 Put -3/7, -1/4, -4335, 4/31 in increasing order. -4335, -3/7, -1/4, 4/31 Put 26, 114, 147, 5 in descending order. 147, 114, 26, 5 Sort -1/2, 0.3, 0.85, -318, -3. -318, -3, -1/2, 0.3, 0.85 Sort 3, 19, 481, 66, 1 in increasing order. 1, 3, 19, 66, 481 Sort -764, 4, 42, -26, 1, -5 in ascending order. -764, -26, -5, 1, 4, 42 Sort 3, -73, 4, 1, -22 in increasing order. -73, -22, 1, 3, 4 Sort 3/5, 17/10, 0.43, -672 in ascending order. -672, 0.43, 3/5, 17/10 Sort 1.1, 12270, -4 in descending order. 12270, 1.1, -4 Sort 0, 2, -2, 5, 4, -14001, 3 in descending order. 5, 4, 3, 2, 0, -2, -14001 Sort 2/7, 2446845, -0.1, 5, -3 in ascending order. -3, -0.1, 2/7, 5, 2446845 Sort 7, -1, -700, 60, -8 in increasing order. -700, -8, -1, 7, 60 Put -5, 0, 84569616, 5 in increasing order. -5, 0, 5, 84569616 Sort -5, 4, 13, 19, 203, 2 in decreasing order. 203, 19, 13, 4, 2, -5 Put 0, -14500, -93 in descending order. 0, -93, -14500 Put -1200, 3, 1.91, 3/7 in ascending order. -1200, 3/7, 1.91, 3 Put -10, 13632, 0 in increasing order. -10, 0, 13632 Sort -69, -1774, -247 in descending order. -69, -247, -1774 Put -4, 44, 334, -3, -4734 in ascending order. -4734, -4, -3, 44, 334 Sort 5, -416302, -0.5 in increasing order. -416302, -0.5, 5 Put 54, -2, 1, -5, 0, -160 in decreasing order. 54, 1, 0, -2, -5, -160 Sort 3, -5, 6, 135, -3, 1, 41 in decreasing order. 135, 41, 6, 3, 1, -3, -5 Sort -4, 42, -5, 1, 2022, 5, 11. -5, -4, 1, 5, 11, 42, 2022 Put 16, 4520, -2, 3, -4, 17 in increasing order. -4, -2, 3, 16, 17, 4520 Put 0.2, 5, 1, 3/82, -837, 1/2, -6 in decreasing order. 5, 1, 1/2, 0.2, 3/82, -6, -837 Put 29, 4, 34, 8, 7 in descending order. 34, 29, 8, 7, 4 Put -7, 0.44, -0.0116 in increasing order. -7, -0.0116, 0.44 Sort 4, 3687, -8, 9 in descending order. 3687, 9, 4, -8 Put -1, 750, 5, 58 in decreasing order. 750, 58, 5, -1 Sort -29562.6, 1, -23 in decreasing order. 1, -23, -29562.6 Sort -15, -22, -2314, -2 in increasing order. -2314, -22, -15, -2 Sort -5, -57, -4, 522, 5, -58, -3. -58, -57, -5, -4, -3, 5, 522 Put -89, 27254, 2, 4 in increasing order. -89, 2, 4, 27254 Put 0.4, -2/7, 5496, 2, -1/3, -0.1 in decreasing order. 5496, 2, 0.4, -0.1, -2/7, -1/3 Sort -42, 6, -206, 1 in decreasing order. 6, 1, -42, -206 Put -5, 7639, -1.4, -17/5 in descending order. 7639, -1.4, -17/5, -5 Sort -9, 964, 2, -119 in ascending order. -119, -9, 2, 964 Sort -1610, -3, 1473 in increasing order. -1610, -3, 1473 Sort -4, 0, -23, -0.2, -0.5, 762. -23, -4, -0.5, -0.2, 0, 762 Put -20, 768, -5, 0 in decreasing order. 768, 0, -5, -20 Sort 23768, -3/5, -1, -12, 0.3 in descending order. 23768, 0.3, -3/5, -1, -12 Sort 7, 3/7, 2/33, 0, 28940 in decreasing order. 28940, 7, 3/7, 2/33, 0 Sort 16, 4, -1, 359, 1, -916 in descending order. 359, 16, 4, 1, -1, -916 Sort -225, -728, -4, 10, 5 in ascending order. -728, -225, -4, 5, 10 Sort 8, 36, 116, 3, 59 in increasing order. 3, 8, 36, 59, 116 Put 6375, -31, -4, 3 in decreasing order. 6375, 3, -4, -31 Put -7, 130, 7, -4, 1, 124 in decreasing order. 130, 124, 7, 1, -4, -7 Put 5, -1043, 764 in descending order. 764, 5, -1043 Sort 2, 86/9, 3, 1, -3/7, 3/4, -3 in decreasing order. 86/9, 3, 2, 1, 3/4, -3/7, -3 Sort 4/5, -0.037, 1/11, -2, -92/9 in descending order. 4/5, 1/11, -0.037, -2, -92/9 Put -1, -3, 371, -1759.2, 0.4, 1/4 in increasing order. -1759.2, -3, -1, 1/4, 0.4, 371 Sort -3.3, 0.2, -4/4119, 0 in descending order. 0.2, 0, -4/4119, -3.3 Sort -1/108, 37, 57, -1/3, 1/2, -3 in increasing order. -3, -1/3, -1/108, 1/2, 37, 57 Sort -3, 14, -36, 846, -4, 3, 4 in decreasing order. 846, 14, 4, 3, -3, -4, -36 Put 12/11, -20, -23634 in decreasing order. 12/11, -20, -23634 Sort -14, -883, 5166 in descending order. 5166, -14, -883 Sort -8, 17, 1, 432873 in decreasing order. 432873, 17, 1, -8 Put 5, -5/8, -5/2, 6/487, -4, 1, 3 in ascending order. -4, -5/2, -5/8, 6/487, 1, 3, 5 Sort -1, 282516, -2 in descending order. 282516, -1, -2 Sort -4, -12, 0, 3884, -1 in increasing order. -12, -4, -1, 0, 3884 Put -179, 6, -5, -84, 0 in descending order. 6, 0, -5, -84, -179 Sort 721, -2, 1, 4, -4, -9, 5 in descending order. 721, 5, 4, 1, -2, -4, -9 Put -0.36, -3/8, 0.2, 36728/5 in descending order. 36728/5, 0.2, -0.36, -3/8 Sort 3, -770, 13, -4, 553. -770, -4, 3, 13, 553 Put 11.51, -8, 172 in ascending order. -8, 11.51, 172 Sort -17, -143358, 1/12 in decreasing order. 1/12, -17, -143358 Sort 3086106, 1, -8 in decreasing order. 3086106, 1, -8 Sort -11/18, 111, 0.17, 0.1. -11/18, 0.1, 0.17, 111 Put -90, 65, -5, 151, 1 in decreasing order. 151, 65, 1, -5, -90 Sort -243, -3, 5, -24, 0, 2 in increasing order. -243, -24, -3, 0, 2, 5 Put 12.079, -2, 8.7 in ascending order. -2, 8.7, 12.079 Put -171, 5, 0, 7, -5306, 1 in increasing order. -5306, -171, 0, 1, 5, 7 Put 2, -5, -35, -1092, -4, 7, 4 in decreasing order. 7, 4, 2, -4, -5, -35, -1092 Put
{ "pile_set_name": "DM Mathematics" }
d + 17 for n. -2 Solve -78*i = -80*i - 5*g - 11, 3*i = -3*g - 3 for i. 2 Solve -6*g = -7*x + 3*x, 4*g = -g - 4*x + 44 for g. 4 Solve 35 = -4*t - 3*u, -8*u = 4*t + 34 + 6 for t. -8 Solve -5*s = 4*g - 9, 0 = 2*s - 441*g + 447*g + 14 for s. 5 Solve 39*b + 2*g = 43*b - 18, -4*b - 2*g + 14 = 0 for b. 4 Solve -3*n + 10 = -2*s, -4*s - n + 110 - 102 = 0 for s. 1 Solve -2*l - 68 = 13*p - 7*p, 4*l + 28 = -3*p for l. 2 Solve -5*h - 1030 = -5*n - 1075, -4*n = -5*h + 41 for n. -4 Solve -s = 5*z + 20, 6877*z = -5*s + 6873*z - 37 for s. -5 Solve 0 = -2*l - 9*i - 37, -104*i + 101*i = -2*l + 23 for l. 4 Solve 5*j + 4*w + 5827 = 5770, j = -3*w - 29 for j. -5 Solve 6 = -52*f + 51*f - 2*t, -f = 4*t + 10 for f. -2 Solve -3*p + 26 = -175*u + 180*u, -2*u + 29 = -5*p for p. -3 Solve -s + 135 - 130 = -3*r, 2*s - 40 = -4*r for s. 14 Solve 0 = 4*b + 4*r, -3*r - 789 = b - 787 for b. 1 Solve 0 = -u + 2*x + 11, -18*u + 21*u - 5*x = 33 for u. 11 Solve -364*o = -365*o - 3*b + 43, o + 2*b - 39 = 0 for o. 31 Solve -5*g + 106*i - 101*i = 15, -2*i = 3*g - 16 for g. 2 Solve -5*k = -130*a + 135*a + 10, -4*a + 22 = -2*k for a. 3 Solve -5*s = -8*v + 35, -15*s - 23 = -5*v - 13*s for v. 5 Solve 0 = -5*r + 4*v + 49, -84*r + 80*r + 31 = 5*v for r. 9 Solve 0 = 3*h, 2*a + 35*h + 97 = 93 for a. -2 Solve -8*z + 82 = -4*f + 94, -3*f = 2*z + 7 for f. -1 Solve 626*f - 630*f - 3*p - 8 = 0, f + 5*p = -2 for f. -2 Solve -51*r - 91 = -32*r + 5*x, -2*r = 5*x + 23 for r. -4 Solve -14 = -3*o + 650*x - 652*x, -5*x - 7 = -3*o for o. 4 Solve 1416*c + 2 = 1415*c, -3*u + 47 = -4*c for u. 13 Solve 89*y - 85*y - 30 = -5*z, 4*z + 3*y - 23 = 0 for z. 2 Solve 37*p + 2*w - 16 = 37*p, 3*p + 4*w - 44 = 0 for p. 4 Solve -4*d = -2*n + 18, 61 = -n + 5*d + 82 for n. 1 Solve -9*x = -4*t + 75, -2525*x = -t - 2529*x - 25 for t. 3 Solve -25*z + 23*z = 6, 2*r + 2*z + 14 = 0 for r. -4 Solve 5*t - 2*k - 14 = -17, 2*k = -3*t + 11 for t. 1 Solve 2*o + 6 = 4*o - 4*n, -2*o - 763*n = -764*n for o. -1 Solve 5*i + 3*b - 22 = 0, -12*i + 4*b = -7*i - 29 for i. 5 Solve -5*a = 3*c + 16, a + 19*c = 20*c for a. -2 Solve -58 = -2*w - 4*u - 76, 5*w + 2*u + 21 = 0 for w. -3 Solve -4*p - 15*v = -11*v - 4, 6 = -3*v for p. 3 Solve 18 = -4*f - 3*o, 15 = -3*f - 22*o + 19*o for f. -3 Solve 3905*x - d = 3901*x + 16, -4*x = -5*d - 64 for x. 1 Solve 3*y - 31 = -5*f, -244*f - 57 = -247*f - 5*y for f. -1 Solve 2*x + 4 = -3*b, 5*b - 2*b + 62*x = 67*x - 11 for b. -2 Solve 4*j - 56 = d - 34, 5*d - j + 15 = 0 for d. -2 Solve 550*y = -3*q + 555*y - 12, 2*q - 14 = -4*y for q. 1 Solve 5*x = 4*s - 61, s + 3*s = 8*x + 88 for s. 4 Solve -10 = -3*g - 5*o - 15, 2 = -4*g - 2*o for g. 0 Solve -4*l = 4*x + 20, 4*l + 5*x + 3181 = 3159 for l. -3 Solve 3*h = 6*a - 3, 0 = h + 3 - 8 for a. 3 Solve 4*v - 26 = 3*u - 36, -3 = -u + v for u. 2 Solve -3*t - 250 + 252 = a, 0 = -2*a - 4*t + 2 for a. -1 Solve 105*k = 2*m + 104*k + 14, 3*m = -4*k + 1 for m. -5 Solve 2*i - 5*b = 90, -4*b = -94*i + 91*i + 72 for i. 0 Solve 3*j - 4*x - 4 = 0, 5*j - 2 - 3 = 5*x for j. 0 Solve -3*j - 24 = -3*x, 5*x = 22*j - 27*j - 90 for j. -13 Solve 0 = 33*f - 37*f - 3*o + 11, f - 3*o + 1 = 0 for f. 2 Solve -1449*d + 1445*d = x + 12, -62 = 13*x + 5*d for x. -4 Solve 4*v - v + 39*o = -9, -1857*v + 1858*v + 4*o = -3 for v. -3 Solve -4 = -4*m + 4*h, -2*h + 1335 - 1313 = 4*m for m. 4 Solve -6 = 3*f - 2*t, -f - 3*t = 1107 - 1127 for f. 2 Solve -2*x + 3*t + 2*t - 27 = 0, -14*t + 11*t + 15 = 0 for x. -1 Solve 16*z - 3*y - 7 = 14*z, 2*y - 7 = -z for z. 5 Solve -4884*f = -4889*f + 24*m + 95, -2*m - 30 = 4*f for f. -5 Solve -c - 17 = 806*d - 802*d, 64 = d - 5*c for d. -1 Solve 0 = 3*z - 2*c - 74, 5*c + 199 = 209 for z. 26 Solve 0 = -5*o + 4*p - 1, 23*p - 22*p + 2 = -o for o. -1 Solve -5*g + 651*f = 652*f + 19, -13 = -g + 4*f for g. -3 Solve t + 2*y = -14, 1786*y = 3*t + 1783*y + 42 for t. -14 Solve 7*v - m = 5, -7*m = -5*v - 8*m - 5 for v. 0 Solve -94*m + 98*m = 12, z - 12 = -4*m for z. 0 Solve l - 3 = -o, -85*l + 4*o - 12 = -80*l for l. 0 Solve -5*v - 5*z = -20, -5*v + 8 = 452*z - 451*z for v. 1 Solve 29*f + 26 = d, 9*d - 7*d + 10 = -4*f for f. -1 Solve 2*c = 10, -4*i + 13 = -4*c + 37 for i. -1 Solve 3*k = 5581*n - 5583*n + 37, 2*n + 51 = 5*k for n. 2 Solve 5*j + 9*t - 14*t - 30 = 0, -5*j + t + 14 = 0 for j. 2 Solve 4*x - 68*n = -64*n + 28, -9 = 3*n for x. 4 Solve -3*z = 4*b + 1, -3778*b = -3778*b - 4*z + 20 for b. -4 Solve 3*g - 77 = -74, -36 = -5*a - g for a. 7 Solve 42*u - 4*r = 39*u - 26, -u = r - 3 for u. -2 Solve 4*j - 869*o + 868*o = 40, 0 = 5*o for j. 10 Solve -4 = -h, -9 = -19*b + 5*h - 29 for b. 0 Solve 4*f + 4*d + 24 = 0, 317*d = f + 312*d - 6 for f. -4 Solve -v = 6*i + 3*v + 20, -10049*i + 10044*i + 5*v = -25 for i. 0 Solve 5*x = 4*s + 6, 92*s = 3*x + 87*s - 1 for x. 2 Solve 2 = -z, -8 = -a + 5*z + 5 for a. 3 Solve 425*s = 427*s - v - 22, -2*s + 22*v = -442 for s. 1 Solve c = 4*a - 16, -3*c + 94*a - 91*a - 12 = 0 for c. 0 Solve 0 = -u + 7*q + 26*q - 203, q - 6 = 4*q - 4*q for u. -5 Solve 0 = -o + 2*a - 5, -o - 1 = -19*a + 18*a for o. 3 Solve 4*y + 30*k - 34*k + 44 = 0, 4*k - 37 = 3*y for y. -7 Solve 0 = -214*f + 217*f + i + 4, 2*f + 5*i + 7 = 0 for f. -1 Solve -2*u + 3*o + 12 = 0, 4500*u - 4501*u + 5*o = -20 for u. 0 Solve 20 = -361*z + 363*z - 3*a, 0 = -z + a + 7 for z. 1 Solve 4389*m - 4385*m = 5*y - 17, y - m = 3 for y. 5 Solve 0 = 2*z - 39*s + 44*s + 3, -1 = -s for z. -4 Solve -5*m - 31 = 3*h, -2761*h + m = -2763*h - 9 for h. -2 Solve 0 = -4*i - 12, 2*p - 10*i + 9 = -13*i for p. 0 Solve 0 = -5*c - 76 + 51, -2*c = -5*u + 15 for u. 1 Solve 3*x - q + 22 = 0, 9*x + 5*q - 30 = 4*x for x. -4 Solve -7*m = -7*m - i + 5, 5*m + 0*i + 3*i + 5 = 0 for m. -4 Solve 3*c + 3*u + 49 = 37, 9 = -2*c - u for c. -5 Solve -5*i = 1962 - 1982, 5*i = -2*o + 12 for o. -4 Solve -2*g + 220*v - 218*v = -4, -2*g - 4*v - 14 = 0 for g. -1 Solve -4*r + j - 31 = 11, 5*j + 1 = -9 for r. -11 Solve 26*v - 29*v - 5*b = -20, 3*v - b + 4 = 0 for v. 0 Solve 379*q - w + 4 = 762*q - 382*q, -45*w = -3*q - 36 for q. 3 Solve 4*l = -3*r + 3, 328*l - 319*l - 2*r = -37 for l. -3 Solve -32*x = -4*q + 144, 315*x = -q + 313*x - 14 for q. -4 Solve 4*x = 2*a - 8, -2038*x = -2041*x - 25*a + 49 - 2 for x. -1 Solve 0 = -4*w + 193*l - 190*l - 7, 2*l + 10 = -w for w. -4 Solve -o - 812*d - 10 = -807*d, -10 = 8*o + 5*d for o. 0 Solve -x - 4*w = -30, -32 = -3*w - 11 for x. 2 Solve -z - 15 = 5*h, -z + 1633 = -2*h + 1627 for h. -3 Solve 17*z = 12*z + 2*j - 12, 4*z = -3*j + 18 for z. 0 Solve 4*a + 24 = 0, 81*w = 80*w - a - 10 for w. -4 Solve -3*c - 59 = 4*i, -5642*c + 5 = -5647*c for i. -14 Solve -5*v - 1799*t = -1796*t - 19, -20 = 4*v - 2*t for v. -1 Solve -w = -1390 + 1386, 3*w = 4*l - 8 for l. 5 Solve -8*b = -5*b + 15, 7*r - 4*r - 3*b = 0 for r. -5 Solve 0 = -7*f - 21, d + 13967 - 13990 = 5*f for d. 8 Solve 35*h = 32*h - 9, -a - 25*h - 62 = 16 for a. -3 Solve 4*a + 3029 = -7*h + 3060, 3*a = -3*h + 12 for a. -1 Solve -4*c = -4*g - 60, 5*c + 91 - 75 = -2*g for c. 2 Solve 0 = 21*m - 32*m - y - 45, -m + 45 = 5*y for m. -5 Solve -4*u = -5*x - 11 - 1, -2*u = 4 for x. -4 Solve -5*n - 5*l = -15, n - 4*l = 105 - 122 for n. -1 Solve 9*x - d = 23, 7*x + 9*x + d + 13 = 20*x for x. 2 Solve -3*k = -2*b - 27, -4*k - 41 = -9*b - 172 for k. -1 Solve -3*u - 326*y - 14 = -328*y, 4*y - 6 = -5*u for u. -2 Solve -3*x - 5 = -2*q, 0 = 5*q - 637 + 662 for x. -5 Solve -d = -c + 11, 8*d - 3*c = -718 + 670 for d. -3 Solve 3*z = 92*m - 94*m - 8, -m = -3*z + 4 for z. 0 Solve 17394*y - 17399*y + 52 = 11*f, -2*f = -y + 2 for f. 2 Solve 4*k = 2*t - 36, 149*t - 5*k - 12 = 148*t for t. 22 Solve 14370*q - 14370*q - 5*c = 15, 14 = q - 4*c for q. 2 Solve 17 = -3*d + 4*t, -d - 417*t + 415*t = -1 for d. -3 Solve 6*c = -5*v - 15 - 20, v = 4*c + 19 for v. -1 Solve 2*z + 5*y - 32 = 18, 2*y + 5*y = 4*y + 24 for z. 5 Solve 4*m - 9 = -3*x + 8*m, -3*x - 12*m = 39 for x. -1 Solve -i + 2*b = 6, 5*i + 135*b = 134*b - 8 for i. -2 Solve -1610*l + 4 = -1613*l - 4*d, -2*d + 26 = -2*l for l. -8 Solve 29 = 5*c + 11*q - 13*q, 4*q + 44 = -4*c for c. 1 Solve -h = 5*x - 12, 246*x - h - 8 = 241*x for x. 2 Solve 39*m - s - 731 + 187 = 0, -4*m + 64 = 4*s for m. 14 Solve 24 = 6*j - 3*i, -i = -4*j - 1784 + 1798 for j. 3 Solve 4*b + 3647*w + 4 = 3642*w, -b - 1 = -4*w for b. -1 Solve 0 = -39*a + 3*y - 77 - 7, -2*a
{ "pile_set_name": "DM Mathematics" }
. 14 Solve -1007*s + 952*s = 550 for s. -10 Solve 182*x + 72 = 2*x - 648 for x. -4 Solve -2*j + 151 = 30*j - 137 for j. 9 Solve -1570 = 9*v + 271*v - 170 for v. -5 Solve 18*w + 52 = 69 + 73 for w. 5 Solve 46*p = -114*p + 160 for p. 1 Solve 122*d = 23*d + 282 - 84 for d. 2 Solve -130*w + 295 = -392 - 223 for w. 7 Solve 5*q + 67 = -0*q + 82 for q. 3 Solve -68*x + 549 + 1015 = 204 for x. 20 Solve 762*z - 2233 = 685*z for z. 29 Solve -271*m + 5708 = 559 for m. 19 Solve 32*z + 21*z + 41560 = 42249 for z. 13 Solve 928 - 738 = 38*x for x. 5 Solve -l - 2*l - 7*l + 90 = 0 for l. 9 Solve -56*f + 71*f = 330 for f. 22 Solve -229*l + 48 = -217*l for l. 4 Solve 124*f = 16*f + 1080 for f. 10 Solve -78 + 11 = -82*t + 97 for t. 2 Solve -797*z = -810*z - 260 for z. -20 Solve 167410*o = 167387*o + 602 + 295 for o. 39 Solve -1419*j - 5365 = -40840 for j. 25 Solve -361*g - 3985 - 708 = 0 for g. -13 Solve -207*w - 11*w + 1794 = -4964 for w. 31 Solve -396*n = 420*n - 642*n + 3654 for n. -21 Solve 12549*b - 12505*b - 308 = 0 for b. 7 Solve -27*m - 152 = -8*m for m. -8 Solve -20*o = -161*o + 83 + 622 for o. 5 Solve 38*s + 697 = -25 for s. -19 Solve -3*x + 56471 = 56450 for x. 7 Solve 11*l - 41*l + 216 = 24*l for l. 4 Solve 63 = -25*f + 27 - 39 for f. -3 Solve -76*l + 45 - 286 + 89 = 0 for l. -2 Solve -622 - 178 = -32*k for k. 25 Solve 25*j + 406468 - 405793 = 0 for j. -27 Solve 36 = 20*z - 51 - 13 for z. 5 Solve -853 + 885 = -8*q for q. -4 Solve 86*g = -154*g - 201*g + 8379 for g. 19 Solve 723 - 400 = 34*r - 561 for r. 26 Solve 103 = -4*q + 87 for q. -4 Solve -7020 - 14210 = -965*g for g. 22 Solve 1416 = 748*l - 807*l for l. -24 Solve 17*z - 21*z + 1 = 5 for z. -1 Solve 0 = -497*f - 7336 - 3598 for f. -22 Solve -5*w - 9283 = -9353 for w. 14 Solve 189 = 56*n - 22*n - 355 for n. 16 Solve -12*l = 126*l + 828 for l. -6 Solve 125*k + 569 = 10*k - 121 for k. -6 Solve 0 = -16*l - 9595 + 9403 for l. -12 Solve 15*s = 3459 - 3339 for s. 8 Solve -15*t + 167 = 128 - 96 for t. 9 Solve 16*w - 4 = -48 - 68 for w. -7 Solve -12620 = -1247*p - 1131 + 9710 for p. 17 Solve 0 = 732*u + 6423 - 571 - 728 for u. -7 Solve 244*v - 93 = -1557 for v. -6 Solve 19 = 51*m - 621 + 130 for m. 10 Solve 0 = -33*g + 2*g - 93 for g. -3 Solve -757*x - 3763 = 17433 for x. -28 Solve 644 + 212 = -107*z for z. -8 Solve 273*a = 65*a - 106*a - 1256 for a. -4 Solve -q + 0*q + 242 = 21*q for q. 11 Solve 115 = 115*h + 405 + 55 for h. -3 Solve -27142 = -19*q - 27047 for q. 5 Solve -11 + 5 = 74*t - 6 for t. 0 Solve -93*g = 167*g - 2600 for g. 10 Solve 93 = -468528*r + 468497*r for r. -3 Solve -28*r - 1008 = -6*r + 14*r for r. -28 Solve 2588*a - 4133 = 2274 + 1357 for a. 3 Solve -34*l + 48*l + 32*l + 920 = 0 for l. -20 Solve -348*l + 1910 = -1222 for l. 9 Solve -209*t - 175*t = -482*t + 1960 for t. 20 Solve 92*s = -164*s - 115*s - 8904 for s. -24 Solve 17*x = 48*x + 434 for x. -14 Solve 199 = -67*p + 1137 for p. 14 Solve -170*f + 270*f - 2600 = 0 for f. 26 Solve -4171 + 667 = 438*y for y. -8 Solve -2*h + 24*h + 119 = 5*h for h. -7 Solve 791 = 92*j + 117*j - 881 for j. 8 Solve 179*j = 204*j - 69 - 256 for j. 13 Solve c - 195 = 169 - 346 for c. 18 Solve -480*b - 426*b - 1568 = -850*b for b. -28 Solve 2324*t + 3048 + 37627 = 697*t for t. -25 Solve 2145 - 2397 = 12*f - 0*f for f. -21 Solve 10*m + 125398 = 125258 for m. -14 Solve 191*g - 282 = 50*g for g. 2 Solve -727*n + 12860 - 608 = -7377 for n. 27 Solve 1167 - 6077 = -180*l + 490 for l. 30 Solve -79*v - 2059 = -1348 for v. -9 Solve 18*s - 653 = -653 for s. 0 Solve -85*z = -186*z - 72 - 130 for z. -2 Solve -11*u = -44*u - 13*u - 552 for u. -12 Solve 0 = 632*f + 150*f + 25024 for f. -32 Solve 424 = 20*z + 224 for z. 10 Solve 408 = 7424*u - 7407*u for u. 24 Solve -97 = -61*f + 403 + 49 for f. 9 Solve 202*r + 1002 = -63*r - 1383 for r. -9 Solve 4*u - 16603 + 16547 = 0 for u. 14 Solve 0 = 365*s - 372*s - 119 for s. -17 Solve -15*s + 108*s = -18*s - 666 for s. -6 Solve 55*l - 73 - 147 = 0 for l. 4 Solve -46*h = -42*h + 56 for h. -14 Solve 76*q + 924 = 34*q for q. -22 Solve -196 = 158*n - 3829 - 1 for n. 23 Solve -9*i + 251 = -32*i - 48 for i. -13 Solve 24725*b - 24590*b - 2025 = 0 for b. 15 Solve 264*h - 261*h - 2 = 1 for h. 1 Solve 0 = -333*t + 271*t - 7 - 427 for t. -7 Solve 4065 = -100*m + 3465 for m. -6 Solve 269*s - 850 + 5434 = 78*s for s. -24 Solve -76*y = -81*y + 190 for y. 38 Solve 35*y - 538 + 21 + 27 = 0 for y. 14 Solve -8*k - 314 = 9*k - 484 for k. 10 Solve -10*t = -1875 + 2025 for t. -15 Solve 26*k + 71 + 11 = 4 for k. -3 Solve -19 + 34 + 13 = -28*r for r. -1 Solve -42 = 106202*u - 106216*u for u. 3 Solve 0 = -161*v + 287*v + 1638 for v. -13 Solve 827 = 443*w + 6586 for w. -13 Solve 0 = -6*w + 31*w + 4*w + 203 for w. -7 Solve 13*l - 83 = -6*l + 145 for l. 12 Solve -11799*i = -11810*i - 33 for i. -3 Solve -180489 = -10*p - 180789 for p. -30 Solve 22*y - 628 = 88*y + 824 for y. -22 Solve 0 = 66*m + 10*m + 74*m + 600 for m. -4 Solve -4444*i - 195 = -4429*i for i. -13 Solve -228 = -12*j - 325 + 373 for j. 23 Solve -105*c - 225*c = -1650 for c. 5 Solve 30212*l = 30244*l + 1248 for l. -39 Solve -77*m - 1033 - 441 = 297 for m. -23 Solve 256 = -70*x - 24 for x. -4 Solve -218*m = -48*m + 46 + 3354 for m. -20 Solve 0 = -6*a - 44*a + 4*a - 138 for a. -3 Solve 813 + 543 = -452*k for k. -3 Solve 28 + 1 = -21*d - 34 for d. -3 Solve 583*v + 5346 = 103*v + 183*v for v. -18 Solve -153 = -59*o - 388 - 945 for o. -20 Solve 696*l + 32479 = 9511 for l. -33 Solve -216*r = -286*r + 770 for r. 11 Solve -9822*f + 1796 = -10271*f for f. -4 Solve 383*c = 410*c - 27 for c. 1 Solve 0 = 5*a - 79*a + 1332 for a. 18 Solve -26*y - 1179 = 53*y + 52*y for y. -9 Solve 36*m + 18134 = 18566 for m. 12 Solve 695 = 338*x + 6103 for x. -16 Solve 0 = 14*h + 10*h - 107 + 179 for h. -3 Solve 22*o + 736 = -59*o + 35*o for o. -16 Solve 19*i = -261 + 90 for i. -9 Solve -41*u + 1018 - 280 = 0 for u. 18 Solve -30*t = 23*t - 58*t for t. 0 Solve 40 = -0*m + 14*m - 16 for m. 4 Solve 2424*p = 2441*p - 323 for p. 19 Solve -605*f + 7054 = 611 - 2027 for f. 14 Solve 670*q - 1287*q + 659*q - 672 = 0 for q. 16 Solve 0 = -2*y - 191 + 173 for y. -9 Solve 36 = 20*l - 9*l - 5*l for l. 6 Solve -105*b + 210*b - 312 = b for b. 3 Solve 0 = -164*w + 335*w - 165*w + 108 for w. -18 Solve 59*s - 98*s = 273 for s. -7 Solve -761*m = -798*m + 333 for m. 9 Solve 1301*y - 18499 = -2289 + 12412 for y. 22 Solve 45*j + 7119 = 6624 for j. -11 Solve -297*m = 532*m + 14922 for m. -18 Solve -38*p + 80*p = 39*p - 6 for p. -2 Solve 138*i - 14*i - 39*i - 340 = 0 for i. 4 Solve 9895 + 6145 = 475*o + 2265 for o. 29 Solve 15*h + 61*h + 62 = -546 for h. -8 Solve 19*k + 1001 = -124*k for k. -7 Solve -312 - 6 = 53*u for u. -6 Solve -147*x + 654 + 439 = 64 for x. 7 Solve 652 + 1519 = 120*w + 491 for w. 14 Solve -233*m + 4885 + 1406 = 0 for m. 27 Solve -407*i + 668*i = 0 for i. 0 Solve 27*m + 47 - 106 = 238 for m. 11 Solve -122*b + 4105 - 2641 = 0 for b. 12 Solve -35*m = -199*m + 820 for m. 5 Solve -393 - 626 = 1820*c + 801 for c. -1 Solve 321*a + 2934 = 16*a - 21*a for a. -9 Solve -45*p = -4*p + 7*p + 1104 for p. -23 Solve -26*r + 101*r + 1725 = -40*r for r. -15 Solve 0 = 226*z + 211*z - 14858 for z. 34 Solve -6*h = 19*h - 22*h - 15 for h. 5 Solve 157*k + 1664 = -34*k - 17*k for k. -8 Solve 352*b + 626 = -5710 for b. -18 Solve 576*r - 5*r = 13*r - 2232 for r. -4 Solve -45*s = -6*s - 312 for s. 8 Solve 40*b = 614 - 246 + 512 for b. 22 Solve -537 = -2*x - 595 for x. -29 Solve -499*l = -532*l + 528 for l. 16 Solve 37*h - 18*h = 17*h + 10 for h. 5 Solve 1565 = 35*x + 310*x + 7430 for x. -17 Solve -38 - 33 = 31*f + 146 for f. -7 Solve -223*o + 463*o = 191*o + 735 for o. 15 Solve 0 = -123*c + 56*c - 93*c - 960 for c. -6 Solve 427*z - 34*z = 1927 + 3182 for z. 13 Solve 827 - 209 = 148*h - 3970 for h. 31 Solve 11*c - 9188 = -9331 for c. -13 Solve 52*v - 456 = -24*v for v. 6 Solve -169*h = -155*h + 154 for h. -11 Solve 126*m - 267 + 52 = 793 for m. 8 Solve -50*c + 443 = 66*c - 717 for c. 10 Solve -1132 + 344 = 151*y + 1477 for y. -15 Solve 17*b + 40*b = 798 for b. 14 Solve 307 - 504 = -99*w - 494 for w. -3 Solve -49207*c - 81 = -49234*c for c. 3 Solve 456*f + 25 = 451*f for f. -5 Solve -8*a - 8*a + 41*a - 50 = 0 for a. 2 Solve 54*j - 6*j - 405 + 117 = 0 fo
{ "pile_set_name": "DM Mathematics" }
. Let g = -197.0000464 - l. Round g to six dps. -0.000046 Let h = 328.0216 + -328. Let a = 0.01417 - h. Round a to four dps. -0.0074 Let w = -8.7 - -150.2. Let d = -106 + w. What is d rounded to the nearest integer? 36 Let w = -476481 + -1892223. Let v = w + 2368702.360177. Let d = v - -1.64. What is d rounded to five decimal places? 0.00018 Suppose -2*g = -c + 27233396, 5*g + 22372806 = c - 45710690. What is g rounded to the nearest 1000000? -14000000 Suppose 294*n - 299*n + 20 = 0. Suppose -2*h + n*i - 136396 = 0, 2*h + 3*i - i + 136402 = 0. Round h to the nearest 1000. -68000 Let i = -245 - -77.5. Let c = i + 166.158. What is c rounded to 1 dp? -1.3 Let z = -249 - -250.97. Let k = 14.63 + z. Let b = k - 1.8. Round b to the nearest integer. 15 Let r = -150 + -181. Let o = 331.16 + r. Round o to the nearest integer. 0 Let w = -0.446 - -754.046. Let u = -686 + w. Round u to 0 decimal places. 68 Let u = -0.0291 + 0.0142. Let a = -22.8149 - u. What is a rounded to the nearest 10? -20 Let m = -51 - -54. Suppose -2*o - m*d = 33, 0 = 2*o + o - 2*d + 56. Let k be (-36)/162 + 7916/o. What is k rounded to the nearest one hundred? -400 Let w = 18323.666 - 18292. What is w rounded to one decimal place? 31.7 Let b = 16.173 - 0.173. Let o = 16.0000828 - b. What is o rounded to 5 decimal places? 0.00008 Let g(l) = 298*l**3 - 6*l**2. Suppose -10 = -d - 0*d + 5*m, 3*d + 6 = 3*m. Let t be g(d). What is t rounded to the nearest 10000? -40000 Suppose -2*v = -2*i - 1396, 4*v + 5*i - 963 - 1793 = 0. Let z = v - 356. Suppose -3*m - m = 2*h - 160, 0 = -4*h - 2*m + z. What is h rounded to the nearest ten? 90 Let h = 169891.00161583 + -169891. Round h to 5 decimal places. 0.00162 Let o(s) = 2090*s**3 + s**2 + 30*s + 68. Let d be o(-2). What is d rounded to the nearest ten thousand? -20000 Let o = 782 - 748. Let f = -33.99998636 + o. Round f to 6 decimal places. 0.000014 Let d(u) = u**3 - u**2 - 2*u + 1. Let p be d(0). Let g = 11 + p. Suppose 0 = -7*h + g*h + 7000000. What is h rounded to the nearest one million? -1000000 Let r = 56368.949253 - 56369. What is r rounded to two decimal places? -0.05 Let t = 4.07 + -9.07. Let r = 5.705 + t. Round r to one decimal place. 0.7 Let b = -65.858205 + 0.872905. Let u = 65 + b. Round u to 3 decimal places. 0.015 Let c = 3463095.000005 + -3463158. Let n = -0.274 + -62.726. Let j = c - n. Round j to 6 dps. 0.000005 Let r = -330049.698208 + 330043. Let u = r - -6.64. Let s = u - -0.058. What is s rounded to 5 dps? -0.00021 Let t = -0.0672084 + 0.082161. What is t rounded to 4 dps? 0.015 Let d = -140.85 - -3.85. Let m = 137.00000879 + d. What is m rounded to 6 decimal places? 0.000009 Let o = 398356.0098 - 398258. Let s = o + -98. Round s to two decimal places. 0.01 Let x = 3.517 + -247.539. Let p = x - -244. What is p rounded to one dp? 0 Suppose w + 2603033 = -2*s, -22*s - 4*w - 6507578 = -17*s. Let y be ((-13)/(-2))/(1/(-101772)). Let x = s - y. Round x to the nearest one hundred thousand. -600000 Suppose a = -4*a + 10, w = -4*a + 23. Let h = -1234 - -3434. Suppose -10*j + w*j = -h. What is j rounded to the nearest 100? -400 Let k = 112 - 3. Let q = k - 333. Let u = q + 223.99822. Round u to 4 decimal places. -0.0018 Let v = -46 + 66.55. Let w = v + -19. Round w to one dp. 1.6 Let a(i) = 4998*i**3 - 5*i**2 + 48*i - 85. Let n be a(5). Round n to the nearest ten thousand. 620000 Let z = -0.58 + 3.9. Let h = 5 - z. Let r = -10.98 + h. Round r to 0 dps. -9 Let a = 16719.2 - 8991.8. What is a rounded to the nearest 1000? 8000 Let h(z) = 94717*z**3 + z**2 - 6*z + 7. Let o be h(4). Suppose 0 = 5*g + o - 36561887. Suppose g = -3*b + 5*b. Round b to the nearest 100000. 3100000 Let l be (-756)/66 + (-18)/33. Let g(p) = -65*p**2 + 9*p + 8. Let s be g(l). What is s rounded to the nearest 1000? -9000 Suppose 3*n = -4*t - 1, 3 = -n + 2*t - 4*t. Suppose 2*y + 25200010 = n*j, 44617468 = -5*y - j - 18382530. What is y rounded to the nearest 1000000? -13000000 Let g = -0.159544 + 0.096. What is g rounded to 4 decimal places? -0.0635 Let z(v) = v**2 + 1. Let b(k) = 30*k**2 + 2*k + 24. Let d(j) = 2*b(j) - 28*z(j). Let a be d(-12). Round a to the nearest 1000. 5000 Let w = -5413.04033 + 5413. Round w to two decimal places. -0.04 Let v = -32932.9833 - -32929. Let h = v - -3.37. Round h to 1 decimal place. -0.6 Let w = -280.46 - 0.14. Let r = -255 - w. Let v = 25.6141 - r. What is v rounded to 3 decimal places? 0.014 Let w = -11998 - -11998.000035255. Round w to 6 dps. 0.000035 Let t = 8985 - 8984.997449. What is t rounded to four dps? 0.0026 Let i = -278 + 277.901. Let k = -2.943 - -1.524. Let f = k - i. Round f to 1 decimal place. -1.3 Let z = -6.071899 + 56.550279. Let a = z + -1.48093. Let r = -49 + a. What is r rounded to three decimal places? -0.003 Let l = -98.77004 - -52.5651. Let p = -46.2 - l. What is p rounded to 4 decimal places? 0.0049 Let s(l) = -5*l + 52 - 20 + l. Let f be s(7). Suppose -o + v = 119001, -4*v - 259600 - 216396 = f*o. Round o to the nearest ten thousand. -120000 Suppose 5*q = 5*j - 95, -q = -12*j + 17*j - 77. Let p(g) = g**3 - 11*g**2 - 118*g - 15. Let c be p(j). What is c rounded to the nearest 100? -600 Let q = -4945.66489017 - -1401.2304898. Let x = -3544.7544 - q. Let s = x + 0.32. Round s to seven dps. 0.0000004 Suppose 465*h = 469*h + 5*p - 47639985, 5*h + 2*p - 59549994 = 0. Round h to the nearest 1000000. 12000000 Let h = 3.7 + 25. Let b = -1.2 + h. Round b to the nearest ten. 30 Let h = 30.80001321 + -30.8. What is h rounded to 6 dps? 0.000013 Let f = 48643.47237 + -48643. What is f rounded to three dps? 0.472 Let g = -0.043876 + 0.269786. Let h = g + -0.225. Round h to 4 decimal places. 0.0009 Let o = 5218 + -5218.0019339. What is o rounded to five decimal places? -0.00193 Suppose 3*v - 193 = x + 215, 4*v - 5*x = 544. Suppose -63*t = -110*t + 47. Let a be v - 1/(0 + t). Round a to the nearest ten. 140 Let c = 1883408004 + -1261878004. Round c to the nearest 1000000. 622000000 Let d = -302 - -203. Let c = -20 - d. Let i = -78.999862 + c. Round i to five dps. 0.00014 Let q = 3132 + -3132.000033825. What is q rounded to 6 dps? -0.000034 Let u = 137.943182893 + -123.77318178. Let y = u + -14.17. What is y rounded to 7 decimal places? 0.0000011 Suppose 3*s - 5*t = -374009980, -89*s + 5*t = -87*s + 249339980. Round s to the nearest 1000000. -125000000 Suppose -14 = -9*b + 10*b. Let p = b + 17. Suppose p*z = 4*z + 102. Round z to the nearest 10. -100 Let g = -7907 - -7911.773. Round g to zero decimal places. 5 Let y = -497.340459547 - -4229951.341349547. Let q = y + -4229677. Let v = q - -223. Round v to 4 decimal places. 0.0009 Let g = 88.45 + -132.44. Let f = 4.69 + g. Round f to the nearest 10. -40 Let g = -0.255 + -0.075. Let b = 34.33 + g. Let u = b + -34.832. What is u rounded to 1 decimal place? -0.8 Let t = 454 - 227. Let c = -226.999675 + t. Round c to 5 dps. 0.00033 Let b = 143.6 - 145. Let l = b + 1.39746. Round l to 4 dps. -0.0025 Let z = -8655092309 - -8655092426.00000167. Let n = 2055 - 1938. Let k = n - z. What is k rounded to 7 dps? -0.0000017 Let j = 9772 - 9770.1724. Round j to two dps. 1.83 Let d = -852.9127594 - -997.20176. Let y = d - 144.254. Let i = 0.035 - y. What is i rounded to seven decimal places? -0.0000006 Let u = 29013.036108 - 29013. Round u to 3 dps. 0.036 Let x(u) = 30*u**2 + 5*u - 7. Let o be x(6). Let w be (-2)/2 + -2 + (-6540)/3. Let r = w + o. What is r rounded to the nearest one hundred? -1100 Let t be (3/(-6))/(((-14)/72)/7). Let m be (-3)/(t/45 - 14/10). Suppose -4*k + u - 4971604 = -14451605, m = -3*u. Round k to the nearest one hundred thousand. 2400000 Let u = -0.1024 + 0.0495. Let n = -0.0529228 - u. Round n to five dps. -0.00002 Let n = -133.82038 - -133.8. What is n rounded to 2 dps? -0.02 Let b = 6.8 + -12.54. Let q = 9.2 + b. Round q to 1 decimal place. 3.5 Let y = -62634620 - -3635142. Let l = y - -58999479.03999947. Let j = -1.04 + l. What is j rounded to seven decimal places? -0.0000005 Let g = -42528.9999947162 + 42529. What is g rounded to six dps? 0.000005 Let c = -204 + 204.81. Let b = c + 112.19. Let t = b + -113.0000102. Round t to six decimal places. -0.00001 Let t = -59100359 + 88935327. Let f = t + -29834823.999858. Let d = f - 144. What is d rounded to f
{ "pile_set_name": "DM Mathematics" }
/5 in 2, 1, x? x Let a be 6/15*(1 + (-8)/18). What is the closest to -0.2 in 0.3, a, -2/9? -2/9 Let j = -310/7 - -44. Let q = 35 - 39. Which is the closest to 0.4? (a) j (b) -1/3 (c) q a Let c(b) = b + 3. Let s = 0 + -6. Let z be c(s). Let r = 33.8 + -34. What is the nearest to r in -2/5, 1, z? -2/5 Suppose -l = -0 - 3. Suppose -4*z + l*o + 7 = 3, 0 = -2*o - 8. Let h = -0.1 + 0.1. What is the closest to 1 in -5/2, z, h? h Let u = -4 - -9. Let o = u + -2. Let c = o - 8. What is the nearest to 1/5 in c, 5, 0? 0 Suppose 4 = -3*y + 13. Suppose -v = -5*m + 2*v + 9, y = m - v. Which is the closest to m? (a) -3/2 (b) -2/13 (c) 3 b Let l = 4 + -3.6. Let u = -2.6 - l. What is the nearest to -1 in u, -1/6, -3/5? -3/5 Let b be -2 + (10/(-6) - -3). What is the closest to 0.2 in -1, 5, b? b Let k = -59.4 - -59. Let h = 2/15 - 19/30. What is the closest to 0 in k, -2/3, h? k Let i(w) = -w + 18. Let o be i(22). Which is the nearest to 1? (a) o (b) 5 (c) -5 b Let p = -10 + 9. Let r be (-2)/8 - (-26)/72. Which is the nearest to -2/3? (a) p (b) r (c) -0.4 c Let w(i) = 14*i**2. Let r be w(-1). Let x be (10/(-25))/(r/10). Which is the nearest to -0.1? (a) 1 (b) -1/6 (c) x b Let c = -0.04 - 2.96. What is the closest to 1/2 in -0.08, c, 0.2? 0.2 Let u = -7.1 + 9.1. What is the nearest to 1 in 0.1, -2/3, u? 0.1 Let u = -41 + 42. What is the nearest to 0.8 in u, -0.5, 1/2? u Let j = -159/2 - -475/6. Which is the nearest to 1/2? (a) -2 (b) j (c) -12/11 b Let h = 25.26 - 25. Let a = 0.04 + h. What is the nearest to -0.2 in -0.1, 5/3, a? -0.1 Let r = 0 - 0.1. Let u be (-14)/18 + 2/(-9). Which is the closest to r? (a) u (b) -5 (c) 5 a Let m = 27/16 - 211/144. Suppose 2*o + 3*o + 5 = 0. What is the closest to o in m, -1, 0.2? -1 Let q = 0.055 - -0.145. What is the closest to 1 in q, 4, -2/7? q Suppose -14*v + 9*v - 5 = 0. What is the closest to -6 in v, 4/3, -2? -2 Let i be (4/(-3))/4*(-27)/15. Which is the closest to -2/3? (a) i (b) 0.8 (c) 4 a Let q = -275/7 + 39. Let b = 1.9 - 1.9. Let v = -17 + 12. What is the nearest to b in v, q, 1? q Let q be (-38)/(-20) - (-15)/(-10). Which is the closest to q? (a) -0.5 (b) -3 (c) -3/7 c Let y be -2 - (-1 + 33/(-24)). Let m(x) = 1. Let f(z) = 3*z + 2. Let u(i) = f(i) - 3*m(i). Let b be u(-1). What is the nearest to -0.1 in y, 5, b? y Let d be 3*2*(-2)/12. Let w = 2.952 + 0.048. Which is the nearest to d? (a) w (b) -1 (c) 3/7 b Let t = -0.346 - -0.046. Let k = -2.3 + -0.7. What is the nearest to 1/4 in -1, t, k? t Let j = -26 - -27. Which is the closest to j? (a) 3/10 (b) -5 (c) -1/5 a Let u = -0.09 + -5.91. Let p = u - -1. Let q = -15/2 + 7. Which is the closest to q? (a) 0.4 (b) 0.3 (c) p b Let u be ((-1)/2)/((-22)/8). Which is the closest to -1/3? (a) -5 (b) -16 (c) u c Let j(y) = 2*y - 12. Let o be j(6). Suppose 0 = -4*s - n + 6, 4*n = 4*s - 16 - o. What is the closest to -6/5 in s, 0.4, 0.5? 0.4 Let g be 1/(-2)*34/(-119). What is the nearest to 0.1 in 4/7, g, 2/5? g Let i = -1.37 + 1.1. Let g = i + 0.37. Let t be 3*(-2)/(-4)*2. Which is the closest to g? (a) t (b) -1/5 (c) -3 b Let c = -0.01 + 1.01. Let j = 1.7 - 0.7. What is the nearest to j in 0, -0.4, c? c Let z = -0.8 - -1. Let n be -2 - -2*(-6)/(-4). Which is the closest to n? (a) 0 (b) -4/9 (c) z c Let r = 0.25 + 0.05. Which is the nearest to 0.1? (a) r (b) -0.4 (c) 0.1 c Let h = 6 - 3. Let m = -3 + 7. Let v = -2.1 + 2.2. What is the closest to 2 in h, v, m? h Let f = 15 - 12. What is the nearest to 0 in 1, -0.3, f? -0.3 Let j be 2/(32/34) + (-4)/2. Which is the closest to -15? (a) j (b) 4 (c) -0.2 c Let v = 13 + -13.2. Which is the closest to 1? (a) v (b) 3 (c) 1/5 c Let p = -5 - -5.4. Let g = 2.1 + -1.4. Let z = g + -1.7. Which is the closest to z? (a) p (b) 2/7 (c) 0.1 c Let k = 44 - 43.81. Let t = 0.11 + k. What is the closest to 2/9 in t, 0, 4? t Let k = 0.035 + -0.135. Which is the nearest to k? (a) 1 (b) 2/7 (c) 0.4 b Let v = -71 + 71.1. Which is the closest to v? (a) 1 (b) 2 (c) 0.3 c Let f = 5 + -5.1. What is the nearest to 1 in -1/2, f, 0.3? 0.3 Let o be (-4)/6 - (-102)/(-9). Let w be (o/30)/(3/5). Let g = -1 + 1. What is the nearest to g in w, -1/2, 2/5? 2/5 Let x = 3.51 - 0.61. Let u = -0.1 - x. Which is the nearest to u? (a) -1 (b) 3 (c) -0.3 a Let d = -17 - -13. Let k = -0.8 - 0.2. What is the nearest to -0.1 in d, 2, k? k Suppose l - 22 + 3 = 4*g, 0 = g - 3*l + 2. Which is the closest to -1/3? (a) -0.5 (b) g (c) 1 a Let p = -0.13 + 0.06. Let s = p - 0.13. Which is the closest to s? (a) 3/5 (b) -5 (c) 1 a Let o = -3 - -1. Let u = 0 + 4. What is the closest to -1/3 in o, 0, u? 0 Let y be (-3 + 0)/(-9)*-3. Let l = -2 - -1.6. Let z = -0.4 - l. What is the closest to -2/7 in z, -4/3, y? z Let d = -3 + 3. Let g = -9 + 13. Which is the closest to d? (a) 4/9 (b) -1 (c) g a Let l = 6 - 14. Let k be 2/3 - l/12. Let x be (1/(-6))/((-20)/150). Which is the nearest to -1? (a) k (b) x (c) 2/7 c Let y be (-22)/20 + (2 - 1). Let w = -5 + 5.3. Let q = 0.4 - w. What is the closest to q in y, -0.2, -1? y Let l = -177/5 - -35. Let t = -2 + 1. Which is the nearest to -1? (a) -4 (b) l (c) t c Suppose 5 = -j - 4*j, -3*l + 11 = -5*j. What is the closest to 2/9 in 1, l, -1? 1 Let j be 2*(2/(-2))/(-3). Let g = -1.8 + 1.9. Which is the nearest to j? (a) g (b) -2 (c) -0.4 a Suppose -3*c = -8*c + 210. Let w = c - 127/3. What is the nearest to w in 2/9, -1/5, 2/13? -1/5 Let k = 12 - 7. Let f = 22.9 - 23. Let r = -0.2 + f. What is the nearest to 2 in -2, r, k? r Suppose -3 = -5*y + 37. Suppose -t - y = -3*c, -12 - 4 = -3*c + 5*t. Suppose -o + 5*m = 30, -c*m + 4 = -6. What is the nearest to -0.2 in 4, o, 1? 1 Let n = -11 + 16. Let y = -0.7 + -3.3. Let p = y - -4. Which is the nearest to p? (a) n (b) 0.4 (c) -2/23 c Let q = -37 + 34. Let w = 1 + -1. Let u = w + -0.2. Which is the nearest to 2? (a) u (b) -1/3 (c) q a Let b = 4 + -3. Suppose 4*s - 15 = b. Let g = -0.0319 - 1.9681. What is the closest to g in 2/9, s, -1/6? -1/6 Let j = 0.05 - 0.04. Let f = j + -1.01. Let i = 5.3 - 5. What is the closest to f in i, -2/5, 0.1? -2/5 Let u = -19 - -40. Let q = u + -21.4. What is the nearest to 2/5 in q, 3, 2/7? 2/7 Let t = -0.08 - -0.05. Let d = 0.07 - 0.17. Which is the closest to d? (a) t (b) -0.4 (c) 2/3 a Let l = -0.24 - -0.2. Let r = l + 2.04. Let b = -47 + 45. What is the closest to -2/5 in b, r, 5/2? b Let i be 4*(5/6)/(-5). Let x = 4.91 - -0.09. Let g = x - 2. What is the closest to 0 in g, i, -1? i Let f = -1.3 - -0.3. Which is the nearest to f? (a) -3/2 (b) 3 (c) 5 a Let u = -2 + 4. Let v = 1 - u. Let s(f) = -f**3 + 8*f**2 - 5*f - 10. Let l be s(7). What is the nearest to v in 2, -0.1, l? -0.1 Let u = -3.52 - 0.48. Let s = 118/5 + -806/35. Which is the closest to u? (a) -2 (b) 2 (c) s a Let p = 5.3 - 5.5. What is the nearest to 1 in p, -4, -1/3? p Let u = -0.04 + -7.96. Which is the nearest to 2? (a) 1/2 (b) -3 (c) u a Let g = -145 - -142. Which is the nearest to 6? (a) 0 (b) -0.3 (c) g a Let s = 3.6 + -4. Suppose 2*p = -10, 13 = t - 5*p - 9. Let x be ((-6)/(t*1))/(-2). Which is the closest to 2/3? (a) s (b) -0.3 (c) x b Let v = 0.09 + 0.31. Let j = v + -0.1. Which is the nearest to -0.1? (a) j (b) 0.4 (c) -0.4 c Let f be 2 - -5 - (2 - 0). Let k = -16.3 - -16. Which is the closest to 0? (a) k (b) 2/5 (c) f a Let t = 33/7 + -745/161. Which is the closest to -2/5? (a) -2/7 (b) -0.5 (c) t b Let a = -3.06 - -0.06. Let q = 2.9 + a. What is the closest to 2/5 in 0, q, 2? 0 Let b = 2 + -1. Let a be 2*-3*1/(-21). What is the nearest to b in a, 1/3, -1/3? 1/3 Let v = -78 - -73. What is the nearest to -1 in 9, v, 4? v Let t be (-4)/(-14) - (-8)/(-126). Let x = -7 - -8. Suppose 0 = k - 4*d - 23, 2*d = 5*k - d - 30. Which is the nearest to x? (a) -0.5 (b) k (c) t c Let c = -32 - -32. What is the closest to 2/7 in -0.2, c, 0.9? c Let d be 8/5 + 1 - 2. Let l = 0.49 - 0.19. Which is the nearest to -1/4? (a) l (b) -5 (c) d a Let r = 0 + 0.3. Let o = 0.08 - -0.42. Let p = 0 - 0. Which is the closest to p? (a) -2 (b) o (c) r c Let i = 15 + -13. Which is the nearest to -0.1? (a) 0.4 (b) 0.08 (c) i b Let f = 25/14 + -16/7. Let v = -5 + 1. Let k be 3/(-12) + v/(-8). What is
{ "pile_set_name": "DM Mathematics" }
ctor of g and d. 12 Suppose -14*w + 8*w + 576 = 0. Let o be (6/2)/(8/w). Calculate the greatest common divisor of o and 90. 18 Let h(b) = b**3 + 42*b**2 + 77*b - 104. Let i be h(-40). What is the highest common divisor of i and 144? 16 Suppose -29*p + 36*p - 35 = 0. Suppose 4*l + 10 = p*l. Let v be 1*(-1)/2*-4. What is the highest common divisor of l and v? 2 Let t = 1479 - 1451. Calculate the greatest common factor of t and 32. 4 Let u be 5 + (-1148)/(-21) + (-1)/(-3). Suppose 0 = 117*w - 115*w - u. Calculate the highest common factor of 75 and w. 15 Let z = -3 + 7. Let q = 15 - 3. Let d be q/15*30/z. What is the greatest common divisor of 54 and d? 6 Let a = -9 - -5. Let y = 3 + a. Let k be 1*y + 80/4. Calculate the highest common factor of k and 95. 19 Let b(s) = s + 1. Let p be b(-1). Let v be (8 - p)/(26/143). Suppose r = -r + v. Calculate the highest common divisor of 22 and r. 22 Let y(h) = 2*h**2 + 4*h - 16. Let s be y(-7). Suppose 1 = g + 6. Let x be 2*2/4 - g. What is the greatest common divisor of s and x? 6 Let y(n) = 14*n + 7. Let b be y(5). Suppose g + 36 = r + 4*r, -3*g = 2*r - 11. What is the highest common divisor of b and r? 7 Let h = -111 - -135. What is the greatest common factor of 152 and h? 8 Let j(m) = m**2 - 8*m - 185. Let g be j(23). Calculate the greatest common divisor of g and 100. 20 Suppose -2*s - 144 = -4*b, 16 = 2*b - 3*s - 56. What is the greatest common factor of 21 and b? 3 Let i(w) = 2*w**3 + 5 - w**3 + 7*w**2 - 12*w**2 + 6 + w. Let j be i(5). Calculate the highest common factor of 8 and j. 8 Let p be (-20)/(-6)*(-24)/(-16). Suppose -5*u - d = -335, 3*d - p*d - 122 = -2*u. Calculate the greatest common divisor of u and 11. 11 Let y = -1878 - -2074. What is the highest common divisor of y and 4? 4 Let q(k) = k**2 + 14*k - 11. Let l be q(-14). Let b = l + 71. What is the highest common divisor of b and 150? 30 Suppose -137093 = -95*f - 18343. What is the highest common divisor of 20 and f? 10 Let r be 88/33 - 4/6. Suppose s - 162 = -r*s. Suppose 0 = 3*p - 9 - 18. What is the greatest common divisor of s and p? 9 Suppose -5*a = 5*j - 1130, 3*j + 4*a - 7*a = 702. What is the greatest common factor of 10 and j? 10 Let u be (6 - -38)*(-6)/(-4). Calculate the highest common factor of u and 33. 33 Suppose -30 = -q + 8. Let a = -23 + q. What is the greatest common divisor of 75 and a? 15 Suppose -6*d - 44 = 256. Let y = -30 - d. Suppose m - 86 = -3*b - 3*m, -m = 1. Calculate the highest common divisor of b and y. 10 Let l(q) = 12*q**3 + 2*q**2 + 3*q - 2. Let i be l(1). What is the highest common factor of i and 60? 15 Let w be (-30)/(-15) - (-76*2 - 0). What is the greatest common factor of w and 44? 22 Suppose 4*p - 117 = -5*o, -3*p = -p - 2*o - 72. Calculate the highest common divisor of 297 and p. 33 Let a be (-2)/6*-5*57. Suppose 7*t + 25 = a. What is the highest common divisor of t and 110? 10 Suppose -2*s - 3*s = 0. Suppose -3*w + 3 = s, 3*w = 7*f - 2*f - 7. Calculate the highest common factor of f and 4. 2 Let n = 17 + -13. Suppose -4*i = -i + n*g - 63, -2*i = -3*g - 25. Calculate the greatest common divisor of i and 68. 17 Suppose -r + 938 = 4*g + r, -2*r = -4*g + 918. Suppose -9*d + g = -d. What is the greatest common factor of 87 and d? 29 Let s be (-902)/(-164)*(-240)/(-33). Let m = -720 - -1222. Let y be m/5 - (-2)/(-5). Calculate the greatest common divisor of y and s. 20 Let g be 33/66 - 444/(-8). What is the greatest common divisor of 3584 and g? 56 Suppose 0 = -2*c - 3*l + 8, 18 = -3*c + 3*l - 0*l. Let y be 60 + (0/c)/2. Let h be (16/(-10))/((-2)/30). Calculate the greatest common divisor of y and h. 12 Let h be (-111)/((-35)/10 + -1 + 3). What is the greatest common factor of 74 and h? 74 Let i = 1678 + -1663. Calculate the greatest common factor of i and 24. 3 Let c be (1/(-3))/((-1)/12). Suppose -c*g + u + 54 = 0, g + u - 9 - 7 = 0. Calculate the highest common factor of 154 and g. 14 Let c = 105 + -98. Suppose -34 = -4*q + 3*n, -n = 5*q + 4*n - 25. What is the greatest common divisor of q and c? 7 Let w(z) be the first derivative of -5*z**2/2 + z + 7. Let j be w(-3). Let t be (400/30)/((-1)/(-12)). Calculate the highest common divisor of j and t. 16 Let t = 1094 - 1085. What is the highest common factor of t and 4? 1 Let k(b) = 2*b**2 + 2*b + 7. Let c be k(0). Let v be c/((-7)/(-18)) + (-7 - -10). What is the greatest common factor of v and 7? 7 Let c = 72 - 67. Suppose -s = -2, 4*u + c*s - 125 = -u. What is the greatest common divisor of 184 and u? 23 Let q(a) = a**3 - 8*a**2 + 2*a - 9. Let u = 20 - 12. Let k be q(u). Let r = 59 + 4. Calculate the highest common factor of r and k. 7 Let o(n) = 58*n**2 - n + 2. Let s be o(1). Suppose -4*c + 1 = -s. Let d = c - 8. Calculate the greatest common factor of d and 28. 7 Let p be (-3)/8 + 938/112. Suppose 3*l = -l - 20. Let n = l + p. Calculate the greatest common divisor of n and 21. 3 Suppose 4*u - p + 92 = 0, u + 15 = 3*p - 8. Let g = -14 - u. What is the greatest common factor of 3 and g? 3 Suppose 0*p = -3*p + 54. Let z = -2196 + 2202. Calculate the greatest common divisor of z and p. 6 Let j = -4 - -10. Suppose 3*z = -f + 42 - 30, -10 = -f - z. Calculate the highest common factor of f and j. 3 Let b(x) = -x**3 + 15*x**2 + 29*x + 24. Let z be b(15). Calculate the highest common divisor of 17 and z. 17 Suppose 3*f - 4*p = -5*p + 14, -3*f - 2*p + 13 = 0. What is the greatest common divisor of f and 120? 5 Let u = 463 - 448. Calculate the greatest common divisor of 65 and u. 5 Let a be (-854)/(-488) + (15/4)/3. Let i be (-7)/(-2) + 3/(-6). Suppose i*f = 19 + 62. Calculate the highest common divisor of f and a. 3 Suppose 128*c + 462 = 134*c. Calculate the highest common divisor of c and 49. 7 Let b be ((-6)/4)/(6/(-28)). Calculate the greatest common divisor of b and 1. 1 Suppose 0 = -2*s + 6*s + 5*x - 91, -s = -4*x - 49. What is the greatest common factor of s and 290? 29 Suppose -284 = 2*b - 6*b. Let q = b - 41. Calculate the highest common factor of 20 and q. 10 Suppose -t + 12 = 2*t. Suppose -f + 7*i = t*i - 4, 0 = 5*i - 5. What is the greatest common divisor of f and 161? 7 Let o(a) = -a**2 - a + 21. Let g be o(-10). Let h = -60 - g. Suppose 0 = -k - k + 6, 4*k = l - 69. Calculate the highest common factor of h and l. 9 Let l(x) be the first derivative of -2*x**2 - 12*x + 1. Let s be l(-10). Suppose -5*v = -62 - s. What is the greatest common factor of v and 9? 9 Let u = 39 - -33. Suppose 3*i = a - 7, 2*a = 5*a + 3*i + 15. Let p be (16/(-7))/(a/7). Calculate the greatest common factor of u and p. 8 Let p be (-220)/1 - (-2 + 3). Let m = 474 + p. Suppose -4*c = -34 - 58. Calculate the highest common divisor of m and c. 23 Let x = 12 + -2. Suppose 363 + 97 = 46*q. Calculate the highest common factor of x and q. 10 Suppose 2*b = u + 61, u + u + 90 = 3*b. What is the highest common factor of 12 and b? 4 Let z be (-230)/15*(-6)/4. Let r = -14 + z. What is the greatest common divisor of r and 36? 9 Suppose -2*v = -3*o + 9, -2*o + 3*v = o - 6. Suppose -2*s - 3*s + o = 0. Let w be (5*s)/(2 - 1). What is the highest common factor of 35 and w? 5 Let t = 17 + -11. Suppose -c - h + 1 - 11 = 0, 6 = -c - 5*h. Let x(b) = b + 15. Let u be x(c). Calculate the highest common divisor of u and t. 2 Let y = -17 + 16. Let t be (38/(-6))/((-5)/15). Let f = t + y. What is the greatest common divisor of 144 and f? 18 Let w be (2 + 0)*-1 + 86. Calculate the greatest common divisor of 2100 and w. 84 Let u = 254 - 134. Suppose -5*j + u = -75. What is the highest common divisor of j and 26? 13 Let y be (-42 - (3 - 2)) + -4. Let t = 54 + y. What is the greatest common factor of 1 and t? 1 Let d(r) = -r - 2. Let b be d(-4). Let m(t) = t + t**3 + 5 + b + 8*t**2 - 1. Let x be m(-7). What is the greatest common factor of x and 6? 6 Let o = -41 - -51. Let a(q) = -4*q + 44. Let g be a(o). Calculate the highest common factor of 8 and g. 4 Suppose -484 = 10*s - 11*s + 4*f, -4*f = s - 476. What is the greatest common factor of 30 and s? 30 Let p be 6/12 - (-11)/2. Let u be -1*(-7)/((-14)/(-96)). Calculate the greatest common factor of u and p. 6 Let w(h) = -1 - 2*h**3 - 3 + 4*h - 2*h + 6. Let f be w(-2). Suppose -4*i - i + 2*j + 70 = 0, f = i + 3*j. Calculate the highest common fac
{ "pile_set_name": "DM Mathematics" }
40667733, 47445674? 54223611 What is the next term in -7393622, -7393594, -7393552, -7393490, -7393402? -7393282 What is next in -27878, -27917, -27980, -28067, -28178, -28313, -28472? -28655 What comes next: 758111, 1516254, 2274397, 3032540? 3790683 What is the next term in 1356, 2612, 3726, 4662, 5384, 5856, 6042? 5906 What is next in 12656, 52834, 119798, 213548, 334084? 481406 What is next in -1257701, -5030816, -11319343, -20123282, -31442633? -45277396 What comes next: -1838, -7199, -16140, -28667, -44786, -64503? -87824 What is next in 219, -17, -235, -435, -617, -781, -927? -1055 What comes next: -4769, -4906, -5185, -5678, -6457, -7594? -9161 What comes next: 7602, 17190, 26778, 36366, 45954, 55542? 65130 What is next in 292, 2062, 5328, 10102, 16396, 24222, 33592? 44518 What is the next term in 7498, 15729, 23960? 32191 What is the next term in 557139, 556921, 556703? 556485 What is the next term in -2068449, -4136884, -6205319? -8273754 What is next in 596957, 596965, 596973? 596981 What comes next: 4409946, 8819984, 13230116, 17640342? 22050662 What is next in 9197753, 18395547, 27593341, 36791135, 45988929, 55186723? 64384517 What is the next term in 4522, 4757, 5142, 5677, 6362, 7197? 8182 What comes next: 1652, 1724, 1766, 1772, 1736? 1652 What is the next term in 12798, 24889, 36942, 48951, 60910, 72813, 84654, 96427? 108126 What is the next term in 1125, 10811, 37621, 90117, 176861? 306415 What is the next term in -168, -856, -1570, -2322, -3124, -3988? -4926 What comes next: -6782809, -13565565, -20348321, -27131077, -33913833, -40696589? -47479345 What comes next: 322, -558, -2052, -4148, -6834? -10098 What is next in -15191, -61182, -137833, -245144, -383115, -551746, -751037? -980988 What is the next term in -750547, -1501092, -2251637, -3002182? -3752727 What comes next: -4216, -18283, -41708, -74479, -116584, -168011? -228748 What comes next: -23441, -46887, -70313, -93719? -117105 What is next in -332809015, -332809016, -332809017, -332809018? -332809019 What is the next term in -56853, -57003, -57231, -57537, -57921, -58383, -58923? -59541 What is the next term in -160230, -162409, -164588, -166767? -168946 What comes next: 52275, 39850, 27425? 15000 What comes next: 60441832, 60441830, 60441824, 60441814, 60441800? 60441782 What is the next term in 133366, 533431, 1200198, 2133667, 3333838? 4800711 What comes next: 85993, 162210, 238427, 314644, 390861? 467078 What is the next term in -6196630, -24786518, -55769664, -99146068? -154915730 What is the next term in 341008576, 341008577, 341008578, 341008579, 341008580, 341008581? 341008582 What comes next: 3437, 13672, 30711, 54554, 85201, 122652? 166907 What comes next: -4927, -19632, -44163, -78526, -122727, -176772, -240667, -314418? -398031 What comes next: -359770, -359267, -358766, -358267, -357770, -357275, -356782? -356291 What comes next: -778737, -1557396, -2336055, -3114714, -3893373? -4672032 What comes next: 4628, 4738, 4914, 5156, 5464, 5838, 6278? 6784 What is the next term in 20624, 83025, 187062, 332735? 520044 What comes next: -2731, -10350, -23047, -40816, -63651, -91546? -124495 What is next in 143, 1151, 3977, 9527, 18707, 32423, 51581, 77087? 109847 What is the next term in -18325289, -36650584, -54975879? -73301174 What comes next: 6295, 7580, 8863, 10144? 11423 What is the next term in 372, 2034, 4994, 9258, 14832, 21722, 29934? 39474 What is next in -12180, -12253, -12374, -12543, -12760, -13025? -13338 What is next in 679941, 1359909, 2039877, 2719845, 3399813? 4079781 What is next in -95588641, -95588643, -95588645, -95588647, -95588649, -95588651? -95588653 What is the next term in -89, -109, 19, 367, 1007, 2011, 3451? 5399 What is next in 213124, 211592, 210060, 208528, 206996, 205464? 203932 What is the next term in 5157, 5214, 5315, 5472, 5697, 6002? 6399 What is next in -4833591, -19334399, -43502419, -77337657, -120840119, -174009811, -236846739, -309350909? -391522327 What comes next: 77762, 155471, 233130, 310739, 388298? 465807 What comes next: 2950873, 2950884, 2950899, 2950918, 2950941, 2950968? 2950999 What is the next term in 31449, 62066, 90993, 117384, 140393, 159174? 172881 What comes next: -3135, -6242, -9297, -12270, -15131, -17850, -20397? -22742 What is next in -286208, -572411, -858608, -1144799, -1430984? -1717163 What is the next term in -1490, -2704, -3284, -2912, -1270, 1960, 7096? 14456 What is the next term in -4815, -9409, -13983, -18525, -23023, -27465, -31839? -36133 What comes next: -3070549, -6141102, -9211657, -12282214, -15352773? -18423334 What is the next term in -14350, -12332, -8970, -4264, 1786? 9180 What is the next term in -9591, -19181, -28771? -38361 What comes next: 2379, 4308, 6239, 8178, 10131, 12104, 14103, 16134? 18203 What is next in 143954, 143909, 143820, 143687, 143510? 143289 What is next in -1525, -10190, -33821, -79936, -156053, -269690? -428365 What is the next term in 123670242, 247340484, 371010726, 494680968, 618351210? 742021452 What comes next: -1374, -11758, -40008, -95058, -185842, -321294, -510348, -761938? -1084998 What is the next term in 2517, 9774, 21877, 38826, 60621, 87262, 118749? 155082 What is the next term in 122647, 245542, 368437, 491332? 614227 What comes next: 6391, 22666, 49787, 87748, 136543, 196166, 266611? 347872 What is next in 2994596, 5989187, 8983778, 11978369, 14972960, 17967551? 20962142 What is next in -3123, -12676, -28611, -50940, -79675, -114828, -156411? -204436 What is next in 4637925, 4637927, 4637929, 4637931? 4637933 What is next in 10573367, 21146734, 31720101, 42293468, 52866835, 63440202? 74013569 What comes next: 59864, 119919, 179974, 240029, 300084? 360139 What is the next term in 819189, 819206, 819223? 819240 What is the next term in 5393, 21469, 48251, 85745, 133957, 192893, 262559, 342961? 434105 What comes next: 825421, 825422, 825423? 825424 What is next in -1926, -1625, -1314, -987, -638? -261 What is next in 122464, 244935, 367408, 489883, 612360, 734839, 857320? 979803 What is the next term in 31158, 124829, 280960, 499557, 780626, 1124173? 1530204 What comes next: 2657, -1720, -6099, -10480? -14863 What is the next term in 7875, 31539, 70957, 126135, 197079, 283795? 386289 What is the next term in 623, 2509, 5657, 10067, 15739, 22673, 30869? 40327 What is next in 54333, 108431, 162535, 216645, 270761? 324883 What comes next: -2742595, -5485493, -8228391? -10971289 What comes next: -71531853, -71531852, -71531851, -71531850, -71531849, -71531848? -71531847 What is the next term in 2574, 1757, 938, 117, -706? -1531 What comes next: 404689, 809382, 1214079, 1618780, 2023485, 2428194, 2832907? 3237624 What is the next term in -2593, -7049, -11505, -15961, -20417, -24873? -29329 What comes next: 14176428, 14176427, 14176426, 14176425? 14176424 What comes next: -1451424, -2902847, -4354270? -5805693 What is next in 843000, 3372084, 7587216, 13488390, 21075600, 30348840, 41308104? 53953386 What is the next term in 302, 6325, 25720, 66143, 135250, 240697, 390140, 591235? 851638 What comes next: 2466840, 19734810, 66605016, 157878576, 308356608, 532840230, 846130560? 1263028716 What is the next term in -66387, -266530, -600103, -1067106? -1667539 What is next in -496695, -496494, -496293, -496092, -495891? -495690 What is next in -331, -575, -953, -1501, -2255, -3251, -4525, -6113? -8051 What comes next: -887664, -1775221, -2662778, -3550335, -4437892? -5325449 What comes next: 14512, 29879, 46104, 63187? 81128 What is the next term in -7753540, -15507078, -23260616, -31014154? -38767692 What is the next term in -12898, -25677, -38346, -50911, -63378, -75753? -88042 What comes next: -41571, -40738, -39905, -39072, -38239? -37406 What is the next term in 635, 5645, 19239, 45707, 89339? 154425 What is the next term in 944, 1277, 982, 59, -1492? -3671 What comes next: 3066, 3662, 4384, 5238, 6230, 7366? 8652 What is the next term in -29081, -116345, -261757, -465323, -727049, -1046941, -1425005? -1861247 What is next in 220227349, 220227358, 220227371, 220227388, 220227409? 220227434 What is next in -551607, -2206421, -4964443, -8825667, -13790087, -19857697, -27028491? -35302463 What is the next term in -1625528, -3251099, -4876670? -6502
{ "pile_set_name": "DM Mathematics" }
What is ((-18)/(-63))/((12/21)/(1430/4004))? 5/28 Evaluate 15/132*4 + 4743/(-561). -8 Evaluate (-14)/16*(-2 + (-3328)/(-182) + -18). 3/2 Calculate 531/(-8850)*((-30)/(-27))/(-5). 1/75 What is (-1 + (-48)/(-21))/((-2346)/(-644))? 6/17 Calculate -2*(-6)/30 + 1235/(-25). -49 Calculate ((-1665)/87 - -19)/(6/(-87)). 2 Calculate (-2)/(-16) + 1 + 111/81696*-1196. -1/2 Calculate (140/6)/10*(15 - (-270)/(-20)) - 10. -13/2 Calculate (-5)/((-75)/(-35)) - ((-2806)/366)/(2/4). 13 What is the value of (-63)/(-135)*-6 - (-156)/(-5)? -34 Calculate (-4)/(-6)*-90 + -25 + (51 - 19). -53 What is 2/2*(-6627)/(-705) - 6? 17/5 What is the value of (-3458)/76*(-8)/14? 26 What is the value of ((-480)/230)/(80 - 115983/1449)? 48 Calculate (-302)/20 + 1 + (-13 - -3) + (-505)/(-50). -14 ((-32536)/(-1344) + -24)/((-180)/(-128)) 4/27 What is (-95616)/(-6640) - 15*(-2 - -3)? -3/5 97 + -42 + -34 + 28 + (-6 - -2) 45 What is 740 + -760 - 173*(-1)/9? -7/9 What is the value of (1/(-1)*(-68)/204)/((-12)/2304)? -64 Evaluate 47 + 15/(-180)*(-355392)/(-630). -1/105 What is -116 + 102 + (15 - -53)? 54 What is the value of 20*(2200/(-275) + (-110)/(-14) - 54/14)? -80 What is the value of 8020/4812 - (-2 - (-2 - -4)/(36/1392))? 81 What is the value of (-136)/(-15)*3273/(-8728)? -17/5 (20/25)/((-10 - -9)*((-492)/(-84) + -6)) 28/5 What is the value of 16826/1974 + ((-720)/42)/(-15)? 29/3 What is the value of (-1197)/(-5985)*(-115)/(-3)? 23/3 (2/(-30))/(184/(-184)) 1/15 What is the value of ((-65)/7 + 3)*(24 + 3025/(-110))? 22 Evaluate (-117)/216 - (-64 - (-70610)/1104). -1/2 What is the value of 4*(-2)/78*((-2)/20)/(-1134 - -1135)? 2/195 Calculate (7/7 + -18)*1 + (-2)/2*-1. -16 (9936/63)/8 + 36/28 21 952/51*(7 + (-742)/70)/(21/(-10)) 32 (-87)/(-646) + ((-76362)/(-1254) - 61) 1/34 -83 - (-134)/((-126496)/(-79650)) 11/8 Calculate (-75)/(-2420)*89 + 15/(-20) + 9 + -11. 1/121 Evaluate (-1 - 268/(-190)) + (-2324)/11039. 1/5 What is ((-170)/(-1530))/((-22)/55*-5)? 1/18 What is the value of (-98)/(-78) - (25 - 17*960/680)? 10/39 63945/20097*(-2)/(-70) 1/11 Evaluate (20 - 96*25/100) + 293/73. 1/73 Evaluate 334/(-5678)*(-3)/15. 1/85 Evaluate 107/(-6) + (-590)/413 + (-174)/(-14). -41/6 Evaluate (-21)/15246*11*9*4/(-6). 1/11 108/45*((-23)/6 + (-7)/(-2))*15 -12 What is (-4849560)/74445*7/(-6)? 76 (((-1890)/3969)/((-10)/(-28)))/(1 - 291/9) 2/47 Calculate (-180)/(-18) + 145/(-11) - (10 + -12). -13/11 767/78 - 12 - ((-2)/4*-6 - 4) -7/6 What is the value of (-2 - (9 + (-294)/30)) + (-1360)/200? -8 Calculate (70/8 - 1/(-4))*((-76230)/2160)/(-77). 33/8 Calculate (-58)/(-957)*63/12*(-2)/7. -1/11 Evaluate (-4)/(336/92) - (-127)/(30226/272). 1/21 What is the value of ((-14)/(-4))/((-1477)/(-21944))? 52 What is 910/(-21)*(-364)/(-104)*60/(-65)? 140 What is the value of (-110920)/16638 + 912/153? -12/17 What is the value of 768/(-72) + (-41)/((-3198)/(-52))? -34/3 -161*33286/(-148897) - 36 -2/239 (-60)/(-21)*(-224)/21840*-39 8/7 What is (-65025)/265880 + (-9)/(-24)? 3/23 (-3200)/(-640) + 108/(-22) 1/11 What is the value of 0 - 1464/(-12) - (-15)/((-105)/154)? 100 9 + (-21 - -7) + 7 + (-12)/(-20) 13/5 (-155)/(-257920)*-52 + (-4158)/64 -65 ((-42)/(-1))/3 - (-71 + -5 + 177) -87 Evaluate ((128/(-184))/(-4))/((-44)/(-34)) - 14/154. 1/23 Calculate ((-26)/(-7) - (-9)/(-6)*2) + 1616/(-1008). -8/9 Calculate 78/(-26) + 13 - (-928)/(-92). -2/23 What is -11*(21 + (16 - 45) - -9)? -11 What is (-43)/((-7998)/(-11842)) - -64? 1/3 Calculate (6696/403)/54 + (-441)/39. -11 What is the value of (434/(-465))/(740/(-725)) + 25/(-30)? 3/37 Calculate 19493/10605 + 152/(-570). 11/7 (-2 - -7)*(-2)/(-25)*-935*129/4386 -11 Evaluate (90/60)/(-16 + (-42)/12). -1/13 Evaluate ((-40)/(-12))/((-3621)/(-54315)). 50 Calculate ((-101820)/(-57698))/((-10)/(-4)). 12/17 Evaluate (480/(-16) + 20)*345/(-50). 69 Evaluate (-7770)/(-296) - 11 - 11/4. 25/2 (-14)/(-672)*-112 - 94/(-48) -3/8 Calculate 2074/(15 - -107) - 22. -5 Evaluate (-4*(-5)/2 - 4115/823) + -31. -26 Calculate ((300/(-8))/(-1))/(98/245*(-15)/12). -75 Calculate (842/40 + (-88)/(-40))/((-6)/16 + 0). -62 Calculate 6059/730 + 17/(-51) + ((-59)/30 - -2). 8 What is -4 + (-3103)/(-321) + 14/(-3) + 2 + 52? 55 Calculate ((-21)/9)/(64 + 466412/(-7296)). -32 What is the value of 31 - ((-15 - -93) + -72)? 25 What is 28 - (-209)/2574*-13 - 27? -1/18 What is (33/22)/(70/(-4740)) + (-21)/49? -102 1 + (11 - 0) + (-10065)/(-671) 27 What is the value of (22/(-44) - -2)*(1 - (-8)/72*-10)? -1/6 What is (-54176)/(-2256) - 474/33417? 24 What is -5*6 - (-550)/(-700)*-14? -19 Calculate -17 + (-175)/(-50)*96/28. -5 What is (-15)/4 - ((-248)/(-440))/(((-37296)/(-6845))/(-36))? -2/77 59 + (75 - (-7781)/(-62)) 17/2 What is the value of (15000/(-800))/((-20)/(-48))? -45 What is the value of (-80)/(-32)*-2 - (49 + -5*4/(-5))? -58 What is the value of (-302)/(-83503) - (-5136)/1026368? 1/116 Evaluate ((-572182)/104)/(-59) + 10/(320/24). 94 Evaluate (-493)/119 - (-67199)/16359. -2/57 What is the value of (4*3 - (-7 + 3528/186))*-6? -6/31 What is -96 + (-1 - ((8 - 12) + -15))? -78 What is the value of (9963/(-585) - -17)/((-5)/150)? 12/13 (-111070)/(-10005) - 832/78 10/23 Evaluate 21/(-168) + (-612)/(-32) - (-2400)/20. 139 What is (-15)/(-3) + ((-9088)/(-213))/((-4)/6) + -16? -75 What is the value of (-101)/(-6) - (-97 - (-65 + -47))? 11/6 Evaluate 2009/(-574)*6/(-3)*(5 + -6). -7 (-3)/(255/61) + (-124)/(-496)*(-24)/(-51) -3/5 What is the value of ((-4)/4*1)/((-9)/(-6) - 2)? 2 Evaluate (119/39 + 180/(-108))*39. 54 What is (-39 - 0) + (753 - 763)? -49 What is (7*2 - 11244/804)/(-1)? -1/67 What is the value of -21*(12/(-9) + 1328/(-48) + 31)? -42 Evaluate (4/28*-1)/(-4 + -1). 1/35 What is the value of -5*(-2684 + 2679 - -6*(-317)/(-380))? -1/38 What is (4/(-6))/((-24 + 11167/468)*6)? 4/5 Evaluate 33 - -481*(-72)/(-936). 70 Calculate (-35)/1 + -833 + 919. 51 Calculate 49 + 20/(-20) + 11 + (17 + -5)/12. 60 What is (-34 + 6474/195)/((-9)/720*-1)? -64 Evaluate ((-4)/(-3006))/(339/(-3051)). -2/167 Evaluate 12/14*(13496/(-723) - -77). 50 Calculate -23 + -25 + 161/(5 + 18) + 151. 110 21/(-4)*-20*(-8)/360*(-12)/1638 2/117 Evaluate (-1)/((-64680)/(-1749) - 37). 53 What is the value of 143445/(-1314) + 109 + (-17)/(-2) + 2? 31/3 45/(20250/(-20))*-72*-15 -48 ((-12378)/43323)/(((-5)/(-161))/(-1)) 46/5 What is 3101895/30375 + (-27)/225? 102 What is the value of (81/87 + 16/232 + 88/(-87))*6? -2/29 Calculate ((-1080)/3969)/((-24)/252). 20/7 (-21 + 32)/((-8)/1664*-176) 13 What is 51*22/3366 - 166/(-6)? 28 What is (9504/(-90))/33*-20? 64 What is ((-7)/(-1) - (-9)/(-27))/5? 4/3 Evaluate -1 - (30 + -39 - -7)*51/(-6). -18 Calculate (4830 - 4838)/(2/30). -120 -36*2 - (33/132)/(1/24) -78 ((-21984)/(-483648))/(2/5368) 122 3 - 153*((-50)/(-30))/5 -48 Calculate (-380)/20 + 22 - -8 - 100/4. -14 58/(-406) - (-20 - (-880)/14) -43 What is (4265/(-1087575))/((-4)/600)? 10/17 What is the value of (-8106285)/172645 + (-2)/43? -47 Evaluate ((-76)/(-24)*6)/(-26 - (-38 + 13)). -19 What is (-247)/(22230/11340) - -107? -19 Evaluate ((-12)/(-45) - 1029/6615) + (-48)/756. 1/21 What is the value of (-245)/(-210)*(-3024)/(-43218)? 4/49 Evaluate (-39377)/(-12116) + (-155)/(-4). 42 What is the value of (38/60 - 3/6)*(31 + (-23184)/744)? -2/93 Evaluate 204/374 - (-42 - (-16733)/(-319)). 95 What is 430/50 - -14 - 18/(-45)? 23 ((-9)/(-10))/((12/6 + -5)/(25/20)) -3/8 What is ((-56)/(-48) - 48/(-36))*(1057/(-35) + 1)? -73 (-2992)/33*(-42)/(-28)*36/(-48) 102 Calculate ((-10)/(-15) + 24/9)/((-8806)/(-462) - 19). 55 What is 17*-1 + (52200/1131 - 29)? 2/13 (108/(-5))/(3519/(-230) + 15) 72 Calculate (2698/684 - 18/(-12)) + (-55)/11. 4/9 Evaluate ((-600)/80 - -8)/(-6 - -1 - 205/(-40)). 4 (56/9)/(-25*536/(-5025)) 7/3 What is ((-3 + 4)*((-6)/(-9) + -1))/((-1124)/(-64068))? -19 Calculate 118/58 - 2 - 3415744/(-786944). 35/8 Calculate (492/(-1558) + (-280)/76)*(-61)/4. 61 What is ((-15)/(-135)*-18)/(4 + (-315)/78)? 52 Calculate 2 - 210/102 - 1361/(-17). 80 -22 - (2 + -5 + 90/18) -24 (63*38/(-266))/(675/18) -6/25 Evaluate (-40*(-132)/6160)/(81/(-2)*2/(-42)). 4/9 Calculate ((-875)/(-35))/(-25)*5. -5 What is the value of (((-70224)/(-70))/22)/(90/(-225))? -114 What is 61 + -138 + 55 - (-374)/16? 11/8 What is the value of (-135)/108*68*(-4)/(220/77)? 119 What is (4/(-602))/(38
{ "pile_set_name": "DM Mathematics" }
to the nearest ten? -5140 What is -0.005542393 rounded to 4 dps? -0.0055 Round -0.61984706 to 3 decimal places. -0.62 Round -6533.2089 to zero dps. -6533 Round -9486.5195 to 1 dp. -9486.5 Round 7.478902643 to 1 dp. 7.5 What is 0.000290865113 rounded to 6 dps? 0.000291 What is -62562.14402 rounded to zero dps? -62562 What is -232758.2688 rounded to the nearest ten? -232760 What is 0.00085649141 rounded to six dps? 0.000856 What is 4861065.4 rounded to the nearest 100000? 4900000 Round -413.421406 to the nearest 10. -410 Round 0.1223942464 to two dps. 0.12 What is -26.08565 rounded to 2 decimal places? -26.09 What is -2.485113695 rounded to four decimal places? -2.4851 What is 15775770850 rounded to the nearest one hundred thousand? 15775800000 What is 50.45225263 rounded to 2 decimal places? 50.45 What is 77.06022505 rounded to 2 dps? 77.06 Round 1053.69407 to the nearest integer. 1054 What is -20.9356322 rounded to 1 dp? -20.9 Round -0.001264436679 to four dps. -0.0013 Round -919.5698 to the nearest one hundred. -900 What is -0.01229646974 rounded to two decimal places? -0.01 What is 187.4223162 rounded to the nearest 10? 190 Round 0.00047846 to 4 decimal places. 0.0005 What is -55597.622 rounded to the nearest 1000? -56000 Round 503.703707 to two decimal places. 503.7 What is 0.004707301653 rounded to 4 decimal places? 0.0047 Round 685977314 to the nearest 100000. 686000000 Round -0.0039738107 to 6 dps. -0.003974 Round -289.3959556 to the nearest integer. -289 Round -0.0136209894 to 4 dps. -0.0136 Round 19833.68342 to the nearest ten. 19830 What is -0.06238220202 rounded to 5 dps? -0.06238 What is -0.00593561392 rounded to 6 dps? -0.005936 Round -61.19403789 to the nearest integer. -61 Round 0.0000062795254 to six dps. 0.000006 What is 4793080261 rounded to the nearest 100000? 4793100000 What is -3008.6799 rounded to the nearest integer? -3009 Round 0.0000898496146 to 6 decimal places. 0.00009 What is -2978311.1 rounded to the nearest one hundred thousand? -3000000 Round -18.87534429 to three decimal places. -18.875 Round -18734367600 to the nearest 1000000. -18734000000 What is 61069245.9 rounded to the nearest one thousand? 61069000 Round -253.95645 to 1 dp. -254 Round -365.3599489 to 0 dps. -365 Round 0.0000741311415 to 6 dps. 0.000074 Round -0.0046549105 to 6 decimal places. -0.004655 What is 60875251630 rounded to the nearest 1000000? 60875000000 What is 0.0006933136 rounded to three decimal places? 0.001 What is 1.12611727 rounded to 1 dp? 1.1 What is 187.0782562 rounded to two dps? 187.08 What is -156.845812 rounded to the nearest 10? -160 What is 7024.05725 rounded to the nearest integer? 7024 What is 1943018.1 rounded to the nearest one hundred thousand? 1900000 Round 160.689423 to 1 decimal place. 160.7 Round 3.736138042 to 3 decimal places. 3.736 What is 718358.79 rounded to the nearest ten thousand? 720000 What is -0.000619550022 rounded to 6 decimal places? -0.00062 Round 0.644653691 to one dp. 0.6 Round -903932.85 to the nearest one thousand. -904000 What is -0.007126399426 rounded to 5 decimal places? -0.00713 Round -22198.937 to zero dps. -22199 Round 0.00041606541 to four decimal places. 0.0004 Round -0.000002426103439 to seven dps. -0.0000024 What is 1.565175242 rounded to 2 decimal places? 1.57 Round 0.0016755808 to six decimal places. 0.001676 What is -1002931.329 rounded to the nearest ten thousand? -1000000 Round -12076800 to the nearest one million. -12000000 Round -5.821600768 to 0 decimal places. -6 What is -0.00000698358288 rounded to seven decimal places? -0.000007 Round -40.989367 to two dps. -40.99 What is 5355.9767 rounded to the nearest ten? 5360 Round -32854.62331 to the nearest integer. -32855 What is -88462.4642 rounded to the nearest 10000? -90000 Round -67.83272173 to the nearest 10. -70 Round -0.000537802741 to five decimal places. -0.00054 Round -0.024562806 to 2 dps. -0.02 What is -0.000000664000487 rounded to seven decimal places? -0.0000007 Round 3.63225814 to two dps. 3.63 What is -0.0000003765082929 rounded to 7 dps? -0.0000004 Round 17780094600 to the nearest one million. 17780000000 What is -6.84615718 rounded to two decimal places? -6.85 Round -0.000009657836805 to seven decimal places. -0.0000097 What is 0.00539584715 rounded to three decimal places? 0.005 What is -0.08644272782 rounded to three decimal places? -0.086 What is 14686.227158 rounded to the nearest ten? 14690 Round 0.00425832833 to seven dps. 0.0042583 Round -0.00002496004464 to 6 dps. -0.000025 Round -0.024088726 to three dps. -0.024 What is -6679669.53 rounded to the nearest 100000? -6700000 What is -50544.302 rounded to the nearest 10? -50540 Round -7.4811102 to one dp. -7.5 Round -0.0204720779 to 4 dps. -0.0205 What is 0.071815898 rounded to 2 decimal places? 0.07 Round -7031956.53 to the nearest 10000. -7030000 What is 97980738 rounded to the nearest 100000? 98000000 What is -2283153.72 rounded to the nearest one hundred thousand? -2300000 Round 2778060.71 to the nearest one hundred thousand. 2800000 Round -0.00000242843678 to seven decimal places. -0.0000024 What is 0.000025120911 rounded to 5 decimal places? 0.00003 Round -2.13495814 to 1 decimal place. -2.1 What is 31395.51892 rounded to the nearest integer? 31396 Round -0.000336554589 to six decimal places. -0.000337 What is -0.0009560716924 rounded to four dps? -0.001 Round -79637552.8 to the nearest 1000. -79638000 What is -1977.68244 rounded to the nearest 10? -1980 What is -10.66224848 rounded to two dps? -10.66 Round 0.0266379404 to four decimal places. 0.0266 What is 0.0000365351324 rounded to six dps? 0.000037 Round -0.0617154399 to four decimal places. -0.0617 Round 0.0286131166 to four decimal places. 0.0286 Round -829671134.1 to the nearest one million. -830000000 What is -0.00525143847 rounded to five dps? -0.00525 Round 0.3650946798 to 5 dps. 0.36509 What is -2914317.72 rounded to the nearest 100000? -2900000 Round -31354342 to the nearest one million. -31000000 Round 0.0001449226394 to seven dps. 0.0001449 Round 4.70410414 to one dp. 4.7 What is -0.00000221283736 rounded to 7 decimal places? -0.0000022 What is -977.0935727 rounded to 1 decimal place? -977.1 Round -36164361.61 to the nearest 1000. -36164000 Round 580697070 to the nearest one million. 581000000 Round -0.0213850999 to 5 dps. -0.02139 What is -0.06083151407 rounded to two decimal places? -0.06 Round -8058512520 to the nearest one hundred thousand. -8058500000 Round -276828.972 to the nearest 1000. -277000 Round 176826042 to the nearest 100000. 176800000 What is 65052.4995 rounded to the nearest 1000? 65000 What is 116096.033 rounded to the nearest ten? 116100 What is 0.1746035518 rounded to 5 dps? 0.1746 Round 2.3818951 to three dps. 2.382 What is -23971.707 rounded to the nearest one hundred? -24000 What is -899.016997 rounded to the nearest integer? -899 Round -651002.352 to the nearest 100. -651000 Round -0.000311720293 to seven decimal places. -0.0003117 What is 3814791 rounded to the nearest ten thousand? 3810000 What is -1204678.76 rounded to the nearest 10000? -1200000 What is 0.466554428 rounded to three dps? 0.467 Round -0.180137316 to 5 decimal places. -0.18014 What is 90.38399 rounded to 2 dps? 90.38 What is 75.20451 rounded to the nearest integer? 75 Round 4220608390 to the nearest one million. 4221000000 Round 1149611.863 to the nearest ten. 1149610 Round 755.844376 to the nearest integer. 756 What is 0.000043107406 rounded to five decimal places? 0.00004 Round 0.0000034587508 to 7 decimal places. 0.0000035 Round -0.137138413 to 4 decimal places. -0.1371 What is 0.000069307615 rounded to six decimal places? 0.000069 What is -65408843.6 rounded to the nearest 100000? -65400000 Round -330468963 to the nearest 10000. -330470000 Round 104034610100 to the nearest 1000000. 104035000000 What is 0.1605434069 rounded to five decimal places? 0.16054 Round 49.7297176 to 1 decimal place. 49.7 What is 3.71334129 rounded to zero decimal places? 4 What is -260225.4359 rounded to the nearest one thousand? -260000 Round -0.0170903066 to six decimal places. -0.01709 What is -0.00252485195 rounded to 3 decimal places? -0.003 What is -10460605088 rounded to the nearest one million? -10461000000 Round
{ "pile_set_name": "DM Mathematics" }
438 Find the first derivative of -3*i**2*j**3 - 46*i**2 - 143*j**3 wrt i. -6*i*j**3 - 92*i What is the third derivative of 11*h*y**6 - 462*h*y**2 - h*y + 24*y**6 wrt y? 1320*h*y**3 + 2880*y**3 What is the third derivative of 837*w**3 + 86*w**2 + 4*w wrt w? 5022 What is the second derivative of 74*o**5 + 63*o**4 - 3*o - 2803 wrt o? 1480*o**3 + 756*o**2 What is the third derivative of 8*g**2*j**3*s - 12*g**2*s + 20*g*j**3*s**2 - 2*g*j**2*s - s**2 wrt j? 48*g**2*s + 120*g*s**2 What is the first derivative of -a**2*v - 3881*a**2 - 4261*a*v wrt v? -a**2 - 4261*a Find the second derivative of -2*g**5 + 153*g**2*w + 62*g*w + 10*w wrt g. -40*g**3 + 306*w What is the third derivative of 111*h**6 - 11*h**5 - 2*h**3 - 43*h**2 + 26*h wrt h? 13320*h**3 - 660*h**2 - 12 What is the third derivative of -103*m**6 - 38*m**2 wrt m? -12360*m**3 Find the third derivative of 51*p**4*s + 16*p**3*s - 2286*p**2*s wrt p. 1224*p*s + 96*s Find the third derivative of -488*n**6 - 2*n**2 + 227. -58560*n**3 Find the second derivative of 13*f**5 + 16*f**3 + 92*f + 1 wrt f. 260*f**3 + 96*f Find the second derivative of -30*a*i**3 + 10*a*i + 5*i**3 wrt i. -180*a*i + 30*i What is the first derivative of 24*c**3 + 4*c*d + 285*d - 2 wrt c? 72*c**2 + 4*d Find the second derivative of -8509*d**2*m*n**2 + 15*d*m*n - 2*d*n**2 - n**2 - 7 wrt d. -17018*m*n**2 Find the first derivative of -470*d - 86 wrt d. -470 Find the second derivative of -485*h**4 - 19*h + 4 wrt h. -5820*h**2 Find the second derivative of -248*x**5 + x**3 + 8*x**2 + 2*x - 10951. -4960*x**3 + 6*x + 16 Find the second derivative of 2*b**5*g**3 - 1011*b**5*g**2 - 2266*b*g**3 wrt b. 40*b**3*g**3 - 20220*b**3*g**2 Find the third derivative of 7*b**6 + 3*b**3 - 81*b**2 wrt b. 840*b**3 + 18 What is the derivative of -61*x**3*y + 277*x**3 + 4*x**2*y wrt y? -61*x**3 + 4*x**2 What is the second derivative of 296*f**4*u**3 + f**2*u**3 - 5*f*u**3 - 12*u**3 wrt f? 3552*f**2*u**3 + 2*u**3 What is the third derivative of f*n**2*o*s**3 - f*n**2 + 24*f*n*o**2*s + 2091*n**2*o**2*s**3 - 2*n**2*o**2*s + 3*n*o**2*s + 3*s**2 wrt s? 6*f*n**2*o + 12546*n**2*o**2 What is the derivative of -2*a**2*m + 118*a**2 - a - 56*m wrt m? -2*a**2 - 56 What is the second derivative of 9*k**2*m**2 + 14*k**2*m + k**2 - 5*k*m + 344*m**2 + 1 wrt m? 18*k**2 + 688 Find the second derivative of -5*l**4*m - l**3*m + 35*l**2 + 4*l*m + 40*m wrt l. -60*l**2*m - 6*l*m + 70 What is the second derivative of -f**5 + 822*f**3 - 4*f - 79 wrt f? -20*f**3 + 4932*f Find the second derivative of 651*a**2 + 49*a - 2 wrt a. 1302 Find the first derivative of -183*b**3 + 814 wrt b. -549*b**2 Find the third derivative of 10650*p**4 + p**3 - p**2 + 12185*p wrt p. 255600*p + 6 What is the third derivative of -6718*r**3 + 17306*r**2 wrt r? -40308 Find the third derivative of -13248*g**5 + 9264*g**2. -794880*g**2 What is the first derivative of -21*d*r**3 - d + 9*r**3 + r + 262 wrt r? -63*d*r**2 + 27*r**2 + 1 What is the second derivative of 3*a**3*g - 1748*a**3 - 2*a**2*g + 32*a*g + a - 2*g - 1 wrt a? 18*a*g - 10488*a - 4*g What is the derivative of -2230*c - 1784? -2230 What is the third derivative of 1457*c**5 + 35*c**2 + c - 6? 87420*c**2 Differentiate 3*h**2*v**2 - 63*h**2*v - 1884*h**2 with respect to v. 6*h**2*v - 63*h**2 What is the derivative of -4*d*g*j + 3*d*j - 13*d*z - 2*g*j*z + 82*g*z + 2*j*z + j - 3*z wrt d? -4*g*j + 3*j - 13*z Differentiate 287*i**4 + 4*i**2 - 1221 with respect to i. 1148*i**3 + 8*i What is the third derivative of 11953*o**3 - 1317*o**2? 71718 Find the first derivative of -47*m**3 - 4*m**2 - 5*m + 15118. -141*m**2 - 8*m - 5 Find the second derivative of b**5*v + 4*b**4*v**2 + 5*b**2 + 66*b*v - 5*v**2 wrt b. 20*b**3*v + 48*b**2*v**2 + 10 What is the second derivative of -46*u**4 + 14*u**2*y**3 - 369*u*y**3 - 2*u*y wrt u? -552*u**2 + 28*y**3 What is the third derivative of 30*b*m**5 + 2*b*m**2*y - b*m**2 + 2*b - 8*m**5*y**2 + 4*y**2 wrt m? 1800*b*m**2 - 480*m**2*y**2 Find the second derivative of 6*d**2*v**2 - 4*d - 302*v**2 wrt d. 12*v**2 Find the second derivative of -4800*t**2 - 4792*t wrt t. -9600 What is the second derivative of 35*p**2*r*t**2 + 2*p**2*r*t - p**2*t**2 - 3*p*r*t + 3*r*t - 2*r wrt t? 70*p**2*r - 2*p**2 Find the third derivative of -1762*k**3*s**3*y**2 + 2*k**3*s**2*y**2 - k**3*s*y**3 + 4*k**3*y**3 + 11*k**3*y**2 - k**2*s**3*y**3 + k*y**3 wrt s. -10572*k**3*y**2 - 6*k**2*y**3 Find the second derivative of 450*p**4 + 127*p wrt p. 5400*p**2 Find the second derivative of -834*d*k**4 + 2*d*k - 3964*d + 4*k**5 + k**2 wrt k. -10008*d*k**2 + 80*k**3 + 2 What is the second derivative of 6717*c**3*t**2 + c**3 - 3965*c*t wrt t? 13434*c**3 What is the derivative of 312*g**2*r + 207*r wrt g? 624*g*r Differentiate -2*l**3*z + 484*l**2*z + 2*l*z - 2*l - 8060*z with respect to l. -6*l**2*z + 968*l*z + 2*z - 2 What is the third derivative of 99*o**2*s**5 - 50*o**2*s**2 - 3*o**2*s wrt s? 5940*o**2*s**2 What is the second derivative of -2*a**3*k + 153*a**3 + a**2*k - 4*a*k - 45 wrt a? -12*a*k + 918*a + 2*k What is the derivative of -784*v - 204 wrt v? -784 What is the derivative of 591*n - 786 wrt n? 591 What is the second derivative of 2*b**2*x**2 - b**2 + 30*b*x**2 + 5*b*x - 33*x wrt x? 4*b**2 + 60*b What is the derivative of -a**2 - 25*a*j - 10*a*t - 69*j*t - 5*j wrt a? -2*a - 25*j - 10*t Find the third derivative of -r**5 + 621*r**4 - r**3 + 1932*r**2. -60*r**2 + 14904*r - 6 What is the third derivative of 16*z**5 + 179*z**4 - 626*z**2 + 4 wrt z? 960*z**2 + 4296*z Find the second derivative of -j**4*u + 7*j**4 - 5*j**2*u**2 - 2*j*u + 2*j - 51*u**2 wrt j. -12*j**2*u + 84*j**2 - 10*u**2 Find the second derivative of -3*c**3*j**2 - 56*c**2 - 48*c*j - 5*j**2 wrt c. -18*c*j**2 - 112 Differentiate 44*s**2 + s - 178 wrt s. 88*s + 1 Find the second derivative of -3508*p**2 + 12885*p. -7016 Differentiate 2*a**2*b - 128*a*b*k + 6*a*k**2 - b*k**2 - 227*b + 2*k**2 with respect to a. 4*a*b - 128*b*k + 6*k**2 Find the second derivative of 179*c**4 - c**2*k**2 - 111*c*k**2 + 3*k**2 wrt c. 2148*c**2 - 2*k**2 Find the third derivative of -5*b**3*i**3 - 34*b**3*i**2 - 2*b**2*i**5 - 5*b*i**2 wrt i. -30*b**3 - 120*b**2*i**2 Differentiate 3*b*l - 40*b*p - b + 3*l*p + 83*l - 6*p + 5 with respect to l. 3*b + 3*p + 83 What is the second derivative of -7625*k**3 + 2*k + 351 wrt k? -45750*k What is the first derivative of -148*a - 222? -148 What is the third derivative of 160*t**5 - 2*t**4 + 154*t**2? 9600*t**2 - 48*t Find the third derivative of -867*u**3 - 700*u**2 wrt u. -5202 Find the second derivative of 785*v**2 + v - 623. 1570 Differentiate -198*w - 141 wrt w. -198 Find the second derivative of -605*q**5 - 5*q - 137 wrt q. -12100*q**3 Find the second derivative of 2*h**3*p - 1351*h**2*p - 2*h - 148*p + 6 wrt h. 12*h*p - 2702*p Find the second derivative of -261*t**3 - 744*t. -1566*t What is the third derivative of -s**4 - 181*s**3 - 55*s**2 - 1? -24*s - 1086 Differentiate -2*j**4 + 345*j**3 - 7351. -8*j**3 + 1035*j**2 Find the first derivative of -1489*w*x**4 + 2*w*x**2 + 9147*w wrt x. -5956*w*x**3 + 4*w*x What is the first derivative of 1023*y + 1170? 1023 Find the first derivative of -4913*f*j + 7459*f*m - j*m wrt j. -4913*f - m Find the third derivative of -21*l**2*p**6 - 2*l**2*p**2 + l**2*p + 17*l*p + 26*p**6 wrt p. -2520*l**2*p**3 + 3120*p**3 What is the second derivative of -10*h**3 + 4*h**2*i + 3*h**2 + 2*h*i - 54*h - 3*i wrt h? -60*h + 8*i + 6 What is the second derivative of -25*a**3*q**2 + 23*a**3*q - 3*a*n*q**2 + 2*a*n*q - 2*n + q**5 - 6*q wrt q? -50*a**3 - 6*a*n + 20*q**3 Find the second derivative of -835*d**2*r**2 - 5*d**2*r + 1078*d*r**2 - 4*d*r + 1 wrt d. -1670*r**2 - 10*r Find the third derivative of -406*r**3 - 6*r**2 - 36*r. -2436 Differentiate -32*o**3 + 2*o**2 + 20*o - 5528. -96*o**2 + 4*o + 20 What is the derivative of -2*d*f*p + 6*d*f - 16*d*p + 15*d - 3*f*p + 4*f wrt p? -2*d*f - 16*d - 3*f What is the second derivative of -196*l**5 + l**4*m + 23*l*m - 13*l wrt l? -3920*l**3 + 12*l**2*m What is the first derivative of 3639*z**2 + 9021? 7278*z Find the second derivative of -420*u**3*x**2 + 2*u**3*x - u**2*x**2 - 3*u**2*x - u**2 - x**2 wrt x. -840*u**3 - 2*u**2 - 2 What is the second derivative of -7*f**5 + 2*f**3*q + 35*f**2*q*s + 26*f*q
{ "pile_set_name": "DM Mathematics" }
s + 2 = l, 0 = -23*l + 24*l - 2*s - 14. What is the second derivative of -9 + 8*m - l*m + 209*m**4 - 55*m**4 + 2 wrt m? 1848*m**2 Let h(b) be the third derivative of 2 + 1/6*b**3 - 8/3*b**4 + 28*b**2 - 29/10*b**5 + 0*b. Find the second derivative of h(n) wrt n. -348 What is the second derivative of 11*x**4 + 1 + 658*x - 1 - 156*x**2 - 157*x**2 + 322*x**2 wrt x? 132*x**2 + 18 Let v be -1 + (-6)/(-15) - (-23)/5. What is the derivative of -19*u - 9 - 35 - u**v - 16 - 7*u wrt u? -4*u**3 - 26 Let q(d) be the first derivative of 113*d**7/7 - 3*d**5/5 - d**4/2 + 853*d**3/3 - 7487. What is the third derivative of q(v) wrt v? 13560*v**3 - 72*v - 12 Let h be (-2)/(570/141 + -4). Let w = 49 + h. What is the first derivative of -7*p**2 - 1710 - 5*p**w + 1712 - 12*p**2 wrt p? -48*p Let v = 1246 + -777. Differentiate 3*n - 56 - 521*n**4 - 3*n + v*n**4 wrt n. -208*n**3 Let a(k) = 4*k - 17. Suppose -4*j + 5 = -3*j. Let s be a(j). What is the third derivative of -p**2 - 5*p**3 + 0*p**s + 3*p**3 + 3*p**3 wrt p? 6 Let w(i) = i**4 + i**3 + 3*i**2 - 3*i. Let j(u) = 3013*u**4 + 3*u**3 + 2967*u**2 - 9*u. Let m(k) = -j(k) + 3*w(k). Find the third derivative of m(b) wrt b. -72240*b Let y = -43253 - -43257. Let q(h) be the third derivative of -6*h**2 - 1/6*h**y + 14/3*h**3 + 0 - 1/60*h**5 - 4*h. Differentiate q(o) wrt o. -2*o - 4 Let z(l) be the second derivative of 73 - l + 71/6*l**3 + 1/2*l**2 + 1/2*l**4. What is the second derivative of z(s) wrt s? 12 Suppose -17 = -3*v - 7*c + 6*c, 7 = v + c. What is the third derivative of -14*j**2 - 1064*j**6 + 1153*j**6 + 0*j**5 + 0*j**v wrt j? 10680*j**3 Suppose 0 = 3*z - 30 + 6. Let t = -6 + z. Find the second derivative of -800 + 800 + 14*c + 8*c**t wrt c. 16 Let t(w) = -w**3 + 2*w**2 - w + 3. Let a(h) = 593*h**3 + 6*h**2 - 3*h - 40. Let v(f) = 2*a(f) - 6*t(f). Find the first derivative of v(z) wrt z. 3576*z**2 Let z(o) = -o**2 + 15*o. Let v(b) = 1137*b**2 - 208*b - 6. Let r(j) = -v(j) - 5*z(j). Find the second derivative of r(k) wrt k. -2264 Let f(m) = 2*m**2 - m - 1. Suppose 9*b - 23 = 4. Let i be f(b). What is the first derivative of -17 + 12*t + i*t - 22*t wrt t? 4 Let s(j) = 3676*j**3 + 21*j**2 + 29*j. Let d(l) = 3679*l**3 + 21*l**2 + 31*l. Let m(k) = 2*d(k) - 3*s(k). What is the third derivative of m(y) wrt y? -22020 Let m(d) = 1321*d**4 - 3*d**3 - 121*d - 2. Let r(c) = 3965*c**4 - 8*c**3 - 356*c - 5. Let x(u) = -8*m(u) + 3*r(u). What is the second derivative of x(q) wrt q? 15924*q**2 Let s(t) be the third derivative of 1/12*t**4 + 0 - 5/3*t**3 - 64*t + t**2 + 3/4*t**5. What is the second derivative of s(l) wrt l? 90 What is the first derivative of 3*r - 638*r - 8306 - 1165*r - 1187*r + 802*r wrt r? -2185 Let f be (-22)/(-4) + 0 + 6/(-12). Suppose 0 = 2*t - n - 7, 0*n = -t + n + f. Find the third derivative of 0*k**2 + 2*k**6 + 24*k**6 + 4*k**t - 25*k**2 wrt k. 3120*k**3 Let s(v) be the third derivative of 187*v**7/70 + 17*v**4/8 - 2*v**3/3 - 3*v**2 - 285. What is the second derivative of s(u) wrt u? 6732*u**2 Find the first derivative of -674*w + 67 - 616*w - 94*w + 527 + 945 wrt w. -1384 Suppose -11*s = -13*s + 178. What is the derivative of -192 - 58*i**2 + 91 + s wrt i? -116*i Let s(y) be the third derivative of -y**6/60 + y**5/60 + 74*y**4/3 + y**3/6 + 326*y**2. Find the second derivative of s(u) wrt u. -12*u + 2 What is the third derivative of 2*t - 784*t**2 - 157 + 1045*t**3 + 0*t**6 + 157 - t**6 - 182*t**3 wrt t? -120*t**3 + 5178 Suppose 3*v + 3 = 6*v. Suppose 0 = -g - 3*d + 6*d + 9, v = 3*g + 4*d. Find the second derivative of 137*m + m**3 - 126*m - 18*m**g wrt m. -102*m Let m(q) = 4*q**2 - 6. Let w be m(3). Let o = w + -26. Find the second derivative of 4*h**4 + 4*h**4 - 11*h + 3*h**o wrt h. 132*h**2 Let w be 2/(-8)*-1 + 1164/16. Let p = w + -33. Find the third derivative of -38 + 18*x**3 - p + 78 + 15*x**2 wrt x. 108 Let x(v) be the first derivative of -4/3*v**3 + 61/2*v**2 - 93 + 0*v - 3/2*v**4. Find the second derivative of x(d) wrt d. -36*d - 8 Find the first derivative of -1118 + 1158 + 4000*l - 2161 wrt l. 4000 Let o(k) be the first derivative of 25 - 16*k**2 + 0*k**3 + 28/5*k**5 + 0*k**4 + 0*k. Find the second derivative of o(b) wrt b. 336*b**2 Differentiate -51 - 10 - 1119*t**2 + 28 - 35 with respect to t. -2238*t Let f(p) be the third derivative of 0*p**3 + p + 27*p**2 + 0 - 22/3*p**4 + 1/2*p**5. Find the second derivative of f(h) wrt h. 60 Let f(o) = o**3 + 17*o**2 - 21*o - 19. Let b be f(-18). Let m = -33 + b. Find the first derivative of 18*t**2 + 20*t**m - 39*t**2 - 17 wrt t. -2*t Suppose -2*m + 4 = 0, 2*w - 4*m = 16 - 8. What is the third derivative of -27*i**3 - 1 + w - 70*i**2 + 72*i**2 wrt i? -162 Let h be 0 - -1 - (2/6)/(366/(-1098)). Let m(l) be the first derivative of h*l - 3 - 25/2*l**2. Find the first derivative of m(t) wrt t. -25 Let b(h) be the second derivative of 0*h**5 + 13 - 3*h + 0*h**6 + 65/42*h**7 + 0*h**2 + 43/6*h**4 + 0*h**3. Find the third derivative of b(m) wrt m. 3900*m**2 Let q be (-6)/(-54) + (-985)/(-45). Differentiate 17*b - 45*b - 144 + 53 - q*b with respect to b. -50 Let o = -4091/6 - -683. Let p(u) be the second derivative of 0 + 0*u**2 - 16*u + 4/15*u**6 + 0*u**5 + o*u**3 + 0*u**4. Find the second derivative of p(b) wrt b. 96*b**2 What is the third derivative of 272*w**3 - 1078*w**4 - 569*w**3 + 297*w**3 - 89*w**2 - 1 wrt w? -25872*w What is the second derivative of -60 - 150*i + 11*i**5 - 1012*i**2 + 2*i**3 + 1409*i**2 + 134*i wrt i? 220*i**3 + 12*i + 794 Let p(r) be the third derivative of 2209*r**6/30 + 1319*r**4/24 + r**3/6 - 4274*r**2. What is the second derivative of p(v) wrt v? 53016*v Suppose -11*n + 3*a = -16*n + 15, -5*a = -n + 3. Let g(w) be the second derivative of 1/3*w**n - w**2 + 0 + 13*w. Differentiate g(r) wrt r. 2 Let c(z) be the second derivative of -5*z**4/2 + z**3/2 + 8275*z**2/2 - 619*z. What is the first derivative of c(u) wrt u? -60*u + 3 Let g(k) = -835*k**3 - 2*k**2 + 96*k + 3. Let s(t) = -1669*t**3 - 4*t**2 + 190*t + 6. Let j(z) = -7*g(z) + 3*s(z). What is the second derivative of j(i) wrt i? 5028*i + 4 Differentiate -498 - 534005*s + 3290 + 535502*s wrt s. 1497 Let m be (-2 + 1)*(5 - 8)*1. Differentiate 2*r**3 + 166 + 2*r**2 + 2*r**3 - 574*r - m*r**3 + 574*r wrt r. 3*r**2 + 4*r Let g(t) = 9*t**2 + 469*t + 1790. Let k(n) = 4*n**2 + 230*n + 897. Let z(q) = -3*g(q) + 7*k(q). Differentiate z(j) with respect to j. 2*j + 203 Let t(w) be the second derivative of -49*w + 7/12*w**4 + 127/2*w**2 + 0 - 1/2*w**3. Find the first derivative of t(a) wrt a. 14*a - 3 Let t = -3425 - -3430. Let i(b) be the second derivative of -9/20*b**t - 2*b + 0*b**4 + 0*b**3 + 3*b**2 + 0. Differentiate i(g) with respect to g. -27*g**2 What is the third derivative of 89*g**5 + 1319*g**5 - 1 + 1 + 233*g**5 + 986*g**2 wrt g? 98460*g**2 Let b be ((-176)/24 + -9)/(2/(-6)). Find the third derivative of -b*v**2 - 20*v**2 - v**3 - 143*v**5 + 139*v**5 wrt v. -240*v**2 - 6 Let v = 447 + -435. Differentiate -v*h - 33*h - 67 + h + 4*h with respect to h. -40 Let f = 51 - -109. What is the third derivative of 13*p**6 + 22*p**2 - f*p**2 - 31*p**3 - 14*p**6 - 14*p**2 - p**3 wrt p? -120*p**3 - 192 Find the second derivative of 907*p**2 + 504*p**2 + 2269*p + 311*p**2 + 25*p wrt p. 3444 Let s(g) = 8065*g**3 - 9*g**2 + 9*g - 10529. Let u(d) = 2016*d**3 - 2*d**2 + 2*d - 2631. Let k(h) = 2*s(h) - 9*u(h). Find the first derivative of k(w) wrt w. -6042*w**2 Let x(s) be the second derivative of 207*s**5/10 + s**3/6 - 290*s**2 - 202*s. What is the second derivative of x(g) wrt g? 2484*g Find the second derivative of -859*b + 505*b**2 - 1986*b + 848*b + 176*b**2 - 3 + 883*b**2 wrt b. 3128 Let l(m) = -m - 10. Let o(q) = -q**3 - 8*q**2 - 9*q - 6. Let p be o(-6). Let y be l(p). Differentiate 2 + 5*w**2 + y + 11*w**2 + 0 wrt w. 32*w Let x = 4377 + -4377. Let c(d) be the second derivative of x - 11/4*d**4 + 0*d**3 - 22*d + 23/2*d**2. Find the first derivative of c(o) wrt o. -66*o Let l(p) be the first derivative of -194*p + 71 - 13*p**4 + 190 - 15*p**4 - 32*p**4 - 7*p**4. Differentiate l(c) wrt c. -804*c**2 Let u(i) = 343*i + 342*i + 67 + 91*i**2 - 681*i. Let r(a) = 273*a**2 + 11*a + 203. Let t(s) = -4*r(s) + 11*u(s). Find the first derivative of t(q) wrt q. -182*q Let n(t) be the second derivativ
{ "pile_set_name": "DM Mathematics" }
sitive. f**(8/3) Simplify ((x**3*x**(-1/6)*x)/(x/(x/((x*x**(1/4)/x)/x))*x**(2/7)))/((x*x/x**(2/7))**35/((x*x**1)/(x*x/x**5*x))) assuming x is positive. x**(-4343/84) Simplify ((z**(6/11)*z)/z*z**(-6/5)/z*z*z*z*(z/(z*z*z*z/(z/((z*z/(z/(z*z/z**6)))/z)))*z)**(-2/59))**(-27/2) assuming z is positive. z**(-54486/3245) Simplify ((h**(-1/3)*h*h*(h*h**27)/h)/(h**(-2/9)*h**(-28)))**(-22) assuming h is positive. h**(-11264/9) Simplify (y*y**(2/7)*y)**(21/4)/(y**(-5/2)/y**(1/9))*y*y/y**1*y/(y/(y/(y*y**(-4)/y))*y)*(y**1*y)/(y*(y**7*y)/y) assuming y is positive. y**(245/18) Simplify ((z/(z/(z*z**(-1/2)*z))*z**(4/3)/z)/(((z*z**(-1))/z)/z)**10)/(z**(-9)*z**(-1/10)*z)**(1/2) assuming z is positive. z**(1553/60) Simplify ((o**(3/7)*o)**(-1/2)/(o/o**4)**44)**2 assuming o is positive. o**(1838/7) Simplify (((z*(z*z*z**(-3/16))/z)/(z/z**(-7)))/(z*z**(-1/3)*z*(z/(z**(5/2)/z*z))/z))**(-1/23) assuming z is positive. z**(257/1104) Simplify (((a*a**2)/a**(-3/4))/(a**(1/2))**13)/((a/(a*a/(a*a**(1/3)/a)*a*a)*a**0)/(a**(1/5)*a*a*a*a/(a*(a/((a/(a**(2/3)*a))/a))/a)*a*a)) assuming a is positive. a**(69/20) Simplify ((d*d**0)**(-32)*(d*d**(-2/5)/d)**(5/4))/((d**(-1))**(-1/5))**(9/10) assuming d is positive. d**(-817/25) Simplify (i**(-8)*i*i/((i*i**(2/5)*i)/i))**15/((i/i**(-1))**(1/49)*((i/((i*i*i/(i*i**(-3)/i))/i))/i)/i**(1/5)) assuming i is positive. i**(-25931/245) Simplify (((a/a**(1/2))/a)**(-7)*((a/a**(-1/14))/a)**(-7))**26 assuming a is positive. a**78 Simplify ((o**(-1/2)*o)/o*o*(o/o**4*o)/o)/(o**(2/7))**(-24)*(o/(o/(o**(-2)*o)*o*o)*o)/(o**(-2)/o)*(o**(-4)/o)/(o**(-3/5)/o*o) assuming o is positive. o**(67/70) Simplify ((i**(2/3)/i)**(-4/15)*(i*i**24)/(i/(i**(-13)*i)))**(-22) assuming i is positive. i**(-11968/45) Simplify (m/(m**2/m)*m)/m*m**(-2/7)*m*m**(-1/3)*m*m**(-1/3)*(m*m/(m/(m**(2/9)*m)*m)*m**4)/(m/(m/(m*m**(2/11)*m))*m**2/m) assuming m is positive. m**(2140/693) Simplify ((p*p**1/p)/p**(-1))/(p/(p*p**(4/11)*p)*p*p**5)*(p**(1/3))**22*p**(-7)*p/(p*(p/(p*p**(-6)))/p*p) assuming p is positive. p**(-274/33) Simplify (o*o/o**(-19)*o)**(-7/5)/((o*o**(-44))/(o*(o/(o*o**(1/2)))/o*o)) assuming o is positive. o**(127/10) Simplify (h/(h/(h/(h/(h**(-2)*h))))*(h*h**(3/5)*h)/h*(h**(1/4))**(-7/12))/((h**(2/3))**(-50))**21 assuming h is positive. h**(168109/240) Simplify ((o*o**(1/18))/o**(-7)*(o/(o*o*o**0*o))**(5/9))**11 assuming o is positive. o**(1375/18) Simplify (((m*m/m**16)**(14/11))**1)**(2/17) assuming m is positive. m**(-392/187) Simplify (r*r**6*r/r**(-2/9))/(r*r**(-2/11)*(r*r*r/(r*r*r**(-2/9))*r)/r)*r**(3/5)/r**(1/4)*r**(2/7)*r**0 assuming r is positive. r**(10499/1540) Simplify (((u*u**(-4)*u)/(u*(u/(u/(u*u**(-2/3))))/u))/(u**(-5)/(u*((u*u**2)/u*u)/u)))/((u/(u**2*u))**(-47))**(11/2) assuming u is positive. u**(-1534/3) Simplify r**(2/21)/(r*r**(-8/9))*r*r*r*r**(-12)*r*r/(r/r**(7/8))*r assuming r is positive. r**(-3095/504) Simplify ((f*f/(f**(-1/3)*f)*f)**(-23/2)/(f*f**(-12)*f**(-8)*f))**(-27) assuming f is positive. f**(477/2) Simplify (f**(-10)/f*f**(-5))**(-28)*(f**(2/29)*f**(-3/2)*f)**6 assuming f is positive. f**(12917/29) Simplify (p**(-2/19)*p/(p/(p/p**(2/11))*p)*p*p**(-7)*p**(-5/6))/((p**0/p)/((p/p**(2/3))/p))**(-22) assuming p is positive. p**(-18125/1254) Simplify ((b*b/b**1)**37)**(39/2)/((b*b*b**(2/3)/b)**(-41))**(7/3) assuming b is positive. b**(15857/18) Simplify ((f**1)**(27/5))**(20/9)*((f/(f**(-2)*f*f))/(f/(f/f**(5/4))))/(f**1/f**8) assuming f is positive. f**(75/4) Simplify (p*p/(p*p**4)*p/(p*p**(-1/4)))/(p**6*p**(-3/4))*(p/(((p/p**(1/10))/p)/p)*p/p**4)/(((p**0*p)/p)/p)**25 assuming p is positive. p**(161/10) Simplify (x**(-2)*x*x*x/((x/(x*x**3*x*x)*x)/x))/(x*x**(-5)*x*x/(x/x**(-5)))*((x/(x*x*x/(x*x**(1/7)*x*x)))/((x**(-2/9)/x*x)/x))**(2/39) assuming x is positive. x**(34696/2457) Simplify (f**5/(f*f**1/f)*(f/(f*f*(f**9/f)/f))/f*(f/f**3*f)/f)/((f**(-9)/f)/(f*f/f**(1/2))*f**(-1/3)*f/f**(1/5)) assuming f is positive. f**(121/30) Simplify (t/(t**0/t*t*t))/t*t**(-2)*((t/((t*t**2)/t))/t*t)/(t*t/t**(2/5)*t)*(t*t**2/t*t*t*(t**(3/7)*t)/t)/(t**(-2/15)/t**1) assuming t is positive. t**(-109/105) Simplify ((k*k/k**0)**(-42/11)/(k**(-1/4))**(-3))/(((k/k**(-1))/k*k**(-2)*k)/(((k**5/k)/k)/((k*k**(1/3))/k))) assuming k is positive. k**(-755/132) Simplify (((w/w**4)/(w*w**0*w*w)*(((w*w**(-1/2)/w*w)/w)/w)/w**1)**(-32))**(-2/3) assuming w is positive. w**(-544/3) Simplify (((w**1/w*w)/w)**(-2/27))**(7/2)/(((w**(-4/7)/w)/((w**2/w)/w))/(((w/(w/((w/w**(-6))/w)))/w)/((w*w*w**(2/9))/w))) assuming w is positive. w**(337/63) Simplify ((u*u/(u**3*u))/(u*(u/(u**4*u)*u)/u)*((u/u**(-2/13))/u)/(u/u**(1/8)))/(u*(u/u**5)/u*u/u**(3/7)*u**(-4)/(u*u**(-4))) assuming u is positive. u**(3427/728) Simplify (a**(2/19)/(a/(a**(7/12)*a*a)*a)*a**(-6)/a**(1/9))**(2/135) assuming a is positive. a**(-3709/46170) Simplify a**(-5)/a*a**(-19)*(a**(2/33)/a)/a**(-23) assuming a is positive. a**(-97/33) Simplify ((x*x/(((x*x*x**0)/x)/x)*x)/(x**(-4)/x*x))/(x*x**0)**(1/23)*(x**(2/23)/x**(1/5))**(-1/8) assuming x is positive. x**(6413/920) Simplify ((z/z**(1/12))/z**(-1/5))/(z**(-1/3)/z**(1/8))*((z*z**5*z*z)/(z**(1/2)/z))**32 assuming z is positive. z**(10943/40) Simplify (((q**(-14)/q)/q**(2/23))/((q/(q*(q/(q*(q/(((q*(q**(-12)*q)/q*q)/q)/q))/q)*q)/q*q))/q)**14)**(-28/5) assuming q is positive. q**(99876/115) Simplify (h**5*h)**(-3/11)/(((h*h**(-6)*h)/h)/h)**24 assuming h is positive. h**(1566/11) Simplify ((t/t**0)**14/(t**(-2/3)/t)**(-23))/((t**(-1))**(-2/49)/(t*t**1)**(-5/7)) assuming t is positive. t**(-3793/147) Simplify ((a*a**23/a*a**(2/3)/a*a*a)/(a**(-4/7))**(-1/11))**(-13) assuming a is positive. a**(-73918/231) Simplify (((o*o/(o*o/(o*o**(-1/5))*o*o))/o)**(1/69))**(17/3)/((o**8/(o**0*o))/(o**9*o**(-8))) assuming o is positive. o**(-6397/1035) Simplify ((u/u**(-3))/(u*u**0))**(-36)/((u/(u/(u**(2/3)*u)))**(-6/5))**(-8/7) assuming u is positive. u**(-772/7) Simplify ((o**(-1/4))**(9/7))**(2/19)*(o**0)**(2/15)*(o**1)**1 assuming o is positive. o**(257/266) Simplify (q*q**(1/2)/q*q*q*q**0/q*q)/(q**(1/7)/((q**(-3)/q*q)/q*q))*(q*q/q**(2/5)*q)**(-25)*(q/((q/(q**(-6)*q)*q)/q))/q*q*q**(-1/4) assuming q is positive. q**(-1985/28) Simplify ((c*c*c*c*c**(-1/3))/c*c/c**1)**(1/43)/((c**(-1/6)*c/(c**(4/5)/c*c*c))/((((c*c*c*c**(-1/5))/c)/c)/c**6)) assuming c is positive. c**(-5381/1290) Simplify (((n/n**(-1/3))/(n**(-2/15)/n*n*n)*n**(-4)*n**3/n*n)**(-2/9))**16 assuming n is positive. n**(256/135) Simplify (h/(h**(2/3)*h))/(h/((h*h**(-1/13)*h)/h*h))*h**5/(h*h/h**(-4))*(h**(-1)*h)**(-41)/(h**(-2/5))**17 assuming h is positive. h**(1181/195) Simplify ((m**(14/5)*(m*m/(m*m**(-13)))/m)/(m**(-9)/m)**(-25))**(-2/25) assuming m is positive. m**(2342/125) Simplify g**(2/9)*g/(g*g**(-8))*(g**1*g)**(8/11)*((g/(g/(g*g/g**11*g)))/(g*(g*g/((g/(g/g**3))/g)*g)/g))**(5/6) assuming g is positive. g**(431/198) Simplify ((t/(((t**7/t)/t)/t)*t)/t)**(-48)*(t**38*t)/t*t**(5/8) assuming t is positive. t**(1461/8) Simplify ((s/(s/((s*s**11)/s)))**16*(s**(1/6))**(-20))**(-44) assuming s is positive. s**(-22792/3) Simplify ((i**(-2/65)/i)**19*(i/(i*((i*i/i**(5/3))/i*i*i*i)/i*i))/i**(-2/29))**(-6) assuming i is positive. i**(247112/1885) Simplify (d*d**(4/11)*d**6)**(-2/43)/((d/(d/d**(-5)*d))/d**7)**(-13/3) assuming d is positive. d**(-80423/1419) Simplify s**6*s**(-3)*s*s/(s**1*s*s)*s*s**(1/3)*((s*s**(-6))/((s*s**(-1))/s))**(-40) assuming s is positive. s**(490/3) Simplify (d**(-1/2))**(-10)*(d**(2/3))**(13/2)*((d*d*d/(d/(d**(-4)/d)))/(d*d**(-2/21)*d*d))/((d/(d*d*d**2)*d)/d**(2/5)) assuming d is positive. d**(204/35) Simplify ((m*m**0/m*m**(-2)*m**1*m**0)**40)**(-2/33) assuming m is positive. m**(80/33) Simplify (j**(-2/7)/(j*j*j*j/j**5*j))/(j**0)**36*((j*j**(2/5)*j)**(-1))**(8/9) assuming j is positive. j**(-254/105) Simplify ((a*(a**(-4)*a)/a)/(a*a*a/((a*a**(-1)*a)/a)*a*a))/(a**0*a*a**(1/5))*(a**(1/2)/(a*a**(3/2)/a))/(a**1)**38 assuming a is positive. a**(-241/5) Simplify ((s/((s*s/s**4)/s*s*s))**45*s*(s*s**(-1/41)*s)/s*s**23*s)**(-1/2) assuming s is positive. s**(-4755/82) Simplify ((g**2/g*g/((g/((g**(-11)/g*g)/g*g*g))/g)*g**(2/15)/(g/g**8))**(-2/17))**31 assuming g is positive. g**(806/255) Simplify ((i**(-5)*i*i)/(i/i**(-6)*i))/(i**(-2/5))**4*(i*i*i**7*i*i*i**(-1))**(3/4) assuming i is positive. i**(-19/10) Simplify (z*z/
{ "pile_set_name": "DM Mathematics" }
= -0*z - 2*z + 4. Solve -9 = -o - 4*c, -7*c = -a*o - z*c - 7 for o. 1 Suppose 30*o + 11 = 2*w + 31*o, 0 = 5*w - 5*o + 10. Solve 2*d + w*a = 9, 2 = -d + 5*a - 0 for d. 3 Let f(i) = -2*i + 27. Let d be f(13). Suppose 3 = -p, 3*m + 5*p - d = -10. Solve -m*y + r + 4 = 0, 5*y - r + 1 = 5 for y. 0 Let y be (-275)/(-25) - (2 + 0). Suppose 2*q + 2*q = 4. Solve -n = 2*d - y, d - q = 2*n + 1 for n. 1 Suppose -5*a + 15 = 0, 0*a + 23 = 2*i - a. Suppose -7*h - 3*l = -5*h - 18, -4*l + i = -h. Solve -3*f + 8 = -u, u + 1 = -f - h*f for u. -5 Let j = 1892 - 1885. Solve 0 = 24*k - 28*k + 3*l + j, l - 19 = -4*k for k. 4 Let i be 3 - 6 - 87/(-3). Solve -i = 3*o - 5*x, -2*x + 0 + 8 = 0 for o. -2 Suppose 0 = 2*r + 18 - 26. Solve 5*h - 8 = 2*z, -r*h - 16 + 0 = 4*z for z. -4 Let b(n) = -n**2 + 5*n + 6. Let d be b(5). Let w(v) = 16*v - 26. Let q be w(2). Let p = q - d. Solve -y - 3*j + 1 - 2 = p, 2*y + 11 = 3*j for y. -4 Let j be (-1 - 46/(-12)) + (-2)/(-12). Solve -j*p = -4*r - 12, -2*r - p = 3*r - 4 for r. 0 Let m(h) = -h**3 - 7*h**2 - h - 5. Let z be m(-7). Suppose -z*u + 0 + 4 = 0. Suppose 6 = u*k + k. Solve -3*n - 2*y = 7, k*y = -n + 2*n + 5 for n. -3 Suppose 0 = -q - d + 10, -3*d + 20 + 5 = 2*q. Solve -2*b + q*b - 6 = 0, -2*u - b = -6 for u. 2 Let v(u) = 12*u**2 - 6*u + 3. Let r be v(2). Suppose 36*l = r*l - 42. Solve -l = 4*q + h, -4*h - 1 = q + 10 for q. -3 Suppose 10 = -6*l + 11*l. Solve -2*p + 2*j + 1 = 3*j, l*p - 4*j - 26 = 0 for p. 3 Let u(v) = 9*v - 23. Let t be u(10). Let s = -65 + t. Solve 2*o + i = s*i + 2, 2*o = 2*i + 4 for o. 0 Let q = -483 - -485. Solve d - 4 = -3*x, -2*x - q = x + 4*d for x. 2 Let k = -1190 + 1195. Solve -5*o - k*a + 5 = 0, o - 3*a + 7 + 8 = 0 for o. -3 Let d be -4*((-74)/72 - 32/144). Let s(p) = p - 1. Let x be s(d). Solve -b + x*y + 0*y - 10 = 0, -2*y + 12 = 3*b for b. 2 Let t = -7 + 11. Suppose -5*p - 12 + 32 = 0. Solve 7 = t*a - 5*i, 9*i = a + p*i + 2 for a. 3 Suppose 0 = 4*w - 3*l + 13, 5*w - l + 6 + 2 = 0. Let v be (w - 0/(-1))*-5. Solve -4*t = -2*g - 19 - 5, v*g = -5*t for t. 4 Suppose 0 = 4*i + i - 10. Suppose 0 = -m + i*g - 8, 5*g - 9 = 3*m + 10. Solve -m*n - n - 7 = 2*v, -5*v + 15 = n for v. 4 Let a = -423 - -425. Let o(p) = -p. Let d be o(0). Solve -y - a*q = -12, y + d*q = 2*q - 4 for y. 4 Let k(g) = g**2 + 3*g + 1. Let w be k(-1). Suppose -2*i - 12 = -6*i - 4*r, -3*r + 6 = 0. Let u = i + w. Solve -3*s - 2 = -x - u, 2*s + 8 = 2*x for s. 1 Suppose 3*n - 32 = 2*d, 2*d + 26 - 6 = 2*n. Let u(l) = 2*l + 12. Let w be u(-6). Solve -5*b - t = -w*b - 7, 2*b = -5*t + n for b. 1 Let k(v) = 3*v**2 + 34*v - 19. Let g be k(-12). Solve -g*f - 1 = 4*j + 3, 5*f - 3*j + 32 = 0 for f. -4 Suppose -3*o + 255 = 2*o. Suppose o = 4*w - 77. Solve 5*b + 4*c = -w, 5*b - 2*c = -3*c - 23 for b. -4 Let a = 78 - 68. Let h = -6 + a. Solve -4 = -h*s, -2*n + 1 = -n + 5*s for n. -4 Let q be (-5)/((0 + 8/(-40))*1). Solve -5*d = -q, -25 = 2*z + d - 6*d for z. 0 Let a = -17 - -29. Let v = a - 14. Let u be 1 + (1 - v) + -2. Solve 2 = u*k + 3*n, 0 = 5*k - 3*n - 32 + 6 for k. 4 Let o(d) = d + 15. Let s be o(-10). Suppose 9*i - 8 = s*i. Solve b + x - 4*x - 7 = 0, 2*b + i = -2*x for b. 1 Let k(z) = z**3 + 26*z**2 + 2*z + 57. Let a be k(-26). Solve -a*l = -4*l - 3*y, -5*l + 16 = y for l. 3 Let c(d) = -d**3 + 11*d**2 - 17*d - 4. Let h be c(9). Let t(s) = s**2 + 15*s + 3. Let a be t(-15). Solve -2*l = 0, -h*v = -v - a*l for v. 0 Suppose -7*g + 8 = -5*g, -2*v - 2*g + 30 = 0. Solve -3*i = -w + 4*w - 9, w - v = -5*i for w. 1 Let c(h) = h**3 + 12*h**2 + 35*h + 12. Let v be c(-7). Solve 3*f - 5*l + 12 = -2*l, -3*f - v = 3*l for f. -4 Let k be 6/30 - (-11)/(-5). Let b = 16 - k. Suppose -85 = -24*z - 13. Solve 0*y = 3*l - 4*y + 21, -3*l + z*y - b = 0 for l. -3 Let o be 6/33 - (-3591)/33. Suppose 3*d + 5 + o = -3*u, 4*u - 52 = 2*d. Let t = 38 + d. Solve -a = 3, r = 2*a + 1 + t for r. -1 Suppose 5*g - 4*g - 2 = 0. Let l = 22 + 93. Let k = l - 110. Solve g*z + 5 = p, z + p + 5 = -k for z. -5 Let p(v) = 10 - 4*v + 0*v + v**2 + v**2. Let t be p(4). Suppose 5*f - t = -4*j + 3*j, 26 = f - 5*j. Solve 2*y = b + f, b + y - 4 = -2*y for b. -2 Let d(l) = 2*l**3 + 27*l**2 - 12*l + 42. Let v be d(-14). Solve -5*q - v = 3*p + 4, 2*p - 7 = 3*q for p. -1 Let a(p) = 41*p + 4*p**3 + 5*p**2 - 3*p**3 - 4 - 38*p. Let z be a(-3). Solve -z*d = r + 14, -5*r = -3*d + 5 - 19 for d. -3 Let q(m) = 11*m + 12. Let z(s) = 5*s + 6. Let o(g) = -6*q(g) + 13*z(g). Let x be o(0). Solve 3*n + 5*r + 25 = 0, 4*r + 20 = -2*n + x*n for n. 0 Let o(i) = -i**3 - 3*i**2 + 1. Let u be o(-3). Let r be u/(-2)*(-3 - -3). Solve 2*k + 4*h - 30 = r, 3*k - 8 - 17 = -2*h for k. 5 Let q(i) = i**3 + 3*i**2 - i + 10. Let a be q(-5). Let h = a + 58. Let o = -31 + 33. Solve 2*t = 4*g - 2*t - 16, -5*g + o*t = -h for g. 5 Let h = 1181 + -1173. Solve 0 = 4*j + h, -2*y + 4*j + 7 - 1 = 0 for y. -1 Suppose -8 = -4*h, -5*h + 20 = 43*b - 38*b. Solve b*j = -4*o - 4, -4*o + 7*o + 4*j = -13 for o. 1 Let z(o) = -o**3 - 12*o**2 - 9*o + 17. Let x be z(-11). Let t(u) = 2*u + 13. Let w be t(x). Solve -w*h - 4*c = -2, -3*c = h - c for h. 2 Let d be (26/(-4))/((-14)/(-28)). Suppose 0*o + o - 20 = 0. Let n = d + o. Solve -3*k = -5*k - j + n, k - 3*j = -14 for k. 1 Let l(m) = -2*m + 30. Let n be l(15). Let r be (-2 - 1) + 15/(3 - n). Let g(v) = v + 8. Let p be g(-5). Solve 0 = 2*w + 3*c - p, -r*w + 3*c = 1 + 2 for w. 0 Let i(w) = 2*w - 8. Let q be i(6). Let c = -32 + 34. Suppose b + 9 = -2*h, c*h = -0*b + b - 11. Solve 2*u - 1 = q*y + 9, 3*u + b = -2*y for y. -2 Suppose 0 = x + 3*y + 9, x + 3 = -4*y - 10. Suppose z - x*u = 5, -5*u + 7*u = -z. Solve 13 = 5*c - 3*q, 2*q + 30 = z*c + 7*q for c. 5 Suppose -2*i + 0*i = 4*y - 14, 11 = 2*y + 5*i. Solve -k = -3, 4*h - 4*k = 1 + y for h. 4 Let j(b) = b**3 - 8*b**2 - 2*b - 8. Let f be j(8). Let l = -22 - f. Solve 6*h = 2*h + 3*x - 6, -l = -h - x for h. 0 Let b(l) = l**3 - 7*l**2 - 10*l + 11. Let c be b(8). Let m = 10 + c. Solve 4*x = 4*s - 20, 2*s = -4*x + m*s - 16 for x. -1 Let t(b) = -b**2 + 4*b + 9. Let j be t(5). Solve j*o - 32 = -4*z, 36 = 3*z + 4*o + 9 for z. 5 Suppose 0 = 2*n - 6*n + 2*i + 16, 4*i = 0. Let f be (-1)/n - (20/5)/(-16). Solve 4*b - 2*g + 8 = 0, f*b + 7 = -b + 3*g for b. -1 Let b(w) = -w**2 + 200*w + 1028. Let u be b(-5). Suppose 0 = 5*o + 5, -1 = -3*i - 4*o + 4. Solve l - t = -u, 2*t = -i*l - 7 + 18 for l. 1 Let z be 2 + -1 - 1 - (1 + 1). Let q be 4/(-12)*z*3. Solve 3*m + q*t = -8 + 24, 0 = 2*t - 10 for m. 2 Let a = -19 - -15. Let f(v) = 3*v**2 + 5*v - 2. Let s be f(a). Solve -s = 4*g + 2*q, q = g + 3*q + 14 for g. -4 Let c be (10 - 4)*(1 - (-4)/(-6)). Suppose r = -c*d - 3*r + 22, 0 = r - 3. Solve 5*h - 4*h - 4*n + d = 0, h - 11 = -4*n for h. 3 Let b = 38 + -33. Suppose 0*m = m - b. Solve 5*t - 2*t + m = -5*o, 2*o + 5*t = 17 for o. -4 Suppose -4*n = -2*j - 8, -2*n = -17*j + 13*j + 2. Solve 3*a - n = 2*f, -f = 2*a - 0*a + 5 for f. -3 Let h = -1140 - -1154. Solve -5 = -3*t - h, 4*t + 10 = i for i. -2 Let y(z) = -z**3 + 84*z + 3. Let l be y(0). Solve 3*s - 5*s + 13 = l*n, s = 3*n - 7 for s. 2 Let s = -85 - -87. Solve -3*n - 9 = -2*w, 0 = -3*w - 7*n + s*n + 4 for w. 3 Let t(k) = -k**3 + 6*k**2 - 3*k - 10. Let d be t(5). Let w be 2*(3 + -2 + d). Let a be (6 - 6)/(3 - w). Solve 0 = -5*u - 2*m - 18, -u = -a*u - m - 2 for u. -2 Let a(f) = 5*f**2 - f + 7. Let q(d) = -4*d**2 - 7. Let z(t) = -5*a(t) - 6*q(t). Let p be z(5). Suppose -5*h = -p - 13. Solve h = 3*x - 2*x, x - 16 = -3*m for m. 4 Let h(d) = d**3 - 6*d**2 + 8*d - 6. Let j be h(3). Let i be 15/j*(-6)/5. Solve 6*f + i*z + 25 = f, 0 = -f - 3*z - 5 for f. -5 Suppose -16 = 4*n - 4. Let c be n/(-3) + -2 + 1. Let i = -30 + 30. Solve m + c*o + 2*o - 11 = i, 5*m + o = 19 for m. 3 Suppose 33*d - 30*d - 9 = 0. Solve 5*z = 4*c + 6 + d, 0 = 2*c + 2 for z. 1 Suppose -52 = -5*d + c + 2*c, -12 = 3*c. Suppose d*r - 3*r - 2*f = 73, -r = 4*f - 19. Suppose z - 2 = -0*z. Solve -3*a - z*p = -4*a + r, 3*p = 3*a - 30 for a. 5 Let a be (2 - 4)/2 + 213 + -211. Let d(n) = -n**2 + 8*n + 13. Let o be d(9). Solve 4*q + 3 + 5 = -4*z, o*q - a = 5*z for q. -1 Suppose -6 - 3 = -3*u, 2*u + 3 = 3*y. Let z(c) = -2*c - y - c + 5 + 1. Let g be z(0). Solve 4*w + 4*d + 4 = 0, 4*d - g + 15 = 4*w for w. 1 Let h be (-2)/5 - (-15)/50*38. Solve 5*s + 0*y - 19 = y, -h = -3*s + y fo
{ "pile_set_name": "DM Mathematics" }
ement from keekeeeeeeeee? 3/26 Calculate prob of sequence gqq when three letters picked without replacement from {q: 4, g: 6}. 1/10 Four letters picked without replacement from {f: 4, n: 3, k: 1}. Give prob of sequence fknn. 1/70 Calculate prob of sequence roqs when four letters picked without replacement from {s: 2, o: 2, q: 3, r: 2}. 1/126 Three letters picked without replacement from mzqxhhwz. What is prob of sequence xhw? 1/168 Three letters picked without replacement from {r: 2, j: 4, e: 3, v: 8}. Give prob of sequence vev. 7/170 Calculate prob of sequence htx when three letters picked without replacement from {w: 3, t: 1, x: 3, o: 2, h: 1, i: 2}. 1/440 Two letters picked without replacement from mzvtvrvmmtvzmt. Give prob of sequence tr. 3/182 Calculate prob of sequence hkh when three letters picked without replacement from kehkh. 1/15 What is prob of sequence yz when two letters picked without replacement from {h: 2, y: 1, z: 2, b: 1}? 1/15 What is prob of sequence rcma when four letters picked without replacement from ssccsccsrcsmasc? 1/5460 Four letters picked without replacement from kmokkmmomokooqmo. Give prob of sequence oqom. 5/1456 Four letters picked without replacement from iehetehjjeeieeeeeeee. Give prob of sequence ieej. 26/4845 What is prob of sequence vava when four letters picked without replacement from vavva? 1/10 Calculate prob of sequence ij when two letters picked without replacement from {j: 3, m: 1, n: 1, i: 2}. 1/7 Calculate prob of sequence ee when two letters picked without replacement from eeeeeeqeeeeee. 11/13 Calculate prob of sequence ii when two letters picked without replacement from {w: 3, y: 1, p: 3, x: 4, i: 7}. 7/51 Three letters picked without replacement from ixuvilguullv. Give prob of sequence lgu. 3/440 Calculate prob of sequence xg when two letters picked without replacement from {q: 4, m: 1, g: 1, x: 5, l: 3}. 5/182 What is prob of sequence myuu when four letters picked without replacement from yummmmmuuyu? 1/66 What is prob of sequence lx when two letters picked without replacement from {g: 4, l: 1, x: 7, i: 1, u: 2}? 1/30 Four letters picked without replacement from {z: 2, q: 4, i: 4, r: 1, h: 3}. What is prob of sequence iqrz? 4/3003 Two letters picked without replacement from poppoooooop. Give prob of sequence op. 14/55 What is prob of sequence kt when two letters picked without replacement from {k: 4, r: 1, j: 5, t: 5}? 2/21 Three letters picked without replacement from {x: 3, c: 3, a: 9, e: 2}. Give prob of sequence eex. 1/680 What is prob of sequence cr when two letters picked without replacement from vcgrh? 1/20 Three letters picked without replacement from deeeedeeddeddddedee. What is prob of sequence ede? 45/323 Four letters picked without replacement from ypppzppppyypzpzz. What is prob of sequence pyzz? 27/3640 Three letters picked without replacement from ldgilgiiillll. Give prob of sequence dgg. 1/858 Two letters picked without replacement from {r: 3, h: 4, z: 1, c: 1, u: 3, f: 5}. What is prob of sequence uz? 3/272 Two letters picked without replacement from nffrrrrarnrf. Give prob of sequence fn. 1/22 What is prob of sequence lh when two letters picked without replacement from {n: 3, h: 9, v: 5, l: 1}? 1/34 Calculate prob of sequence mm when two letters picked without replacement from {z: 10, y: 1, m: 4, k: 1, p: 2}. 2/51 Calculate prob of sequence pe when two letters picked without replacement from pjemljeeeumllmpeemmj. 3/95 What is prob of sequence bu when two letters picked without replacement from {m: 2, o: 1, b: 1, u: 1, l: 2, p: 1}? 1/56 Two letters picked without replacement from llvwlsssvssssws. What is prob of sequence vv? 1/105 Three letters picked without replacement from nnnnwnnnnnwnnnnnnnn. Give prob of sequence nnw. 16/171 Calculate prob of sequence yyyd when four letters picked without replacement from {b: 7, d: 4, y: 5}. 1/182 What is prob of sequence ew when two letters picked without replacement from eewketoeweeewwweo? 5/34 Two letters picked without replacement from {v: 3, h: 1, l: 4, f: 2}. Give prob of sequence vf. 1/15 What is prob of sequence ptt when three letters picked without replacement from {t: 5, p: 6, r: 6, d: 1}? 5/204 Calculate prob of sequence djqj when four letters picked without replacement from zdzlllddldqjjz. 1/3003 What is prob of sequence cf when two letters picked without replacement from akjkjjqjaacfjjffjf? 2/153 Calculate prob of sequence ogg when three letters picked without replacement from {g: 2, o: 17}. 1/171 Two letters picked without replacement from {g: 11, m: 2}. Give prob of sequence gm. 11/78 Calculate prob of sequence vll when three letters picked without replacement from {l: 2, c: 1, v: 11}. 11/1092 Calculate prob of sequence tn when two letters picked without replacement from etnwnelk. 1/28 Two letters picked without replacement from {y: 1, o: 1, w: 5, g: 3, x: 2}. What is prob of sequence oo? 0 Three letters picked without replacement from vuwqvqvvvfvuwvffuuw. Give prob of sequence wvv. 7/323 Two letters picked without replacement from jehejjehhhjjh. What is prob of sequence hh? 5/39 Two letters picked without replacement from zrzrrzzrrrzrrzrz. What is prob of sequence rz? 21/80 What is prob of sequence ccvv when four letters picked without replacement from vvvvcvccvvvcc? 28/429 Calculate prob of sequence hw when two letters picked without replacement from whmbxmhxbxxhxxh. 2/105 Three letters picked without replacement from mmmmxxxmommkmzmmz. Give prob of sequence mox. 1/136 Two letters picked without replacement from {i: 2, q: 1, y: 1}. What is prob of sequence iq? 1/6 Four letters picked without replacement from {a: 8, c: 6, k: 1}. What is prob of sequence cccc? 1/91 What is prob of sequence mdqd when four letters picked without replacement from mccmqmcdccmmcdmcqh? 1/3060 What is prob of sequence mzc when three letters picked without replacement from fcczeym? 1/105 Calculate prob of sequence nnxn when four letters picked without replacement from xxnnnxngxxxxggxg. 2/455 What is prob of sequence zs when two letters picked without replacement from isrrziirtri? 1/110 Four letters picked without replacement from uuubbuuuuuub. Give prob of sequence uuub. 7/55 What is prob of sequence erp when three letters picked without replacement from {z: 1, p: 5, r: 2, e: 1}? 5/252 Three letters picked without replacement from addadadddda. What is prob of sequence daa? 14/165 What is prob of sequence ufjo when four letters picked without replacement from ffuaufaffufffofjauf? 5/11628 What is prob of sequence xvev when four letters picked without replacement from tttxtetvvv? 1/840 Calculate prob of sequence bi when two letters picked without replacement from iigiiiqqbiigi. 2/39 What is prob of sequence vqxv when four letters picked without replacement from {v: 1, x: 1, p: 1, r: 1, q: 1}? 0 Calculate prob of sequence ftt when three letters picked without replacement from {t: 2, f: 3}. 1/10 Two letters picked without replacement from {z: 1, n: 1, c: 1, v: 5, w: 2}. Give prob of sequence vn. 1/18 Two letters picked without replacement from {v: 1, r: 7, s: 1}. What is prob of sequence vr? 7/72 Three letters picked without replacement from ayyasycasayycsyyy. What is prob of sequence csy? 1/85 Calculate prob of sequence mdaa when four letters picked without replacement from iiiiaaimvmpppdima. 3/9520 What is prob of sequence xc when two letters picked without replacement from {y: 3, x: 5, c: 4}? 5/33 Four letters picked without replacement from {t: 1, h: 1, s: 5, r: 3, l: 2}. Give prob of sequence sslt. 1/297 What is prob of sequence br when two letters picked without replacement from kkrrbrrrrrkbrrkr? 1/12 Three letters picked without replacement from eegeenegggne. Give prob of sequence gng. 1/55 Two letters picked without replacement from zppepei. Give prob of sequence pi. 1/14 What is prob of sequence bier when four letters picked without replacement from {e: 2, c: 2, i: 4, b: 3, r: 8, x: 1}? 8/4845 Three letters picked without replacement from {q: 3, r: 2}. What is prob of sequence rqq? 1/5 What is prob of sequence ssk when three letters picked without replacement from {s: 5, k: 2}? 4/21 Three letters picked without replacement from mmzzmzzmmmmm
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {w: 7, h: 4, b: 1, t: 1}. What is prob of picking 2 w and 1 h? 42/143 What is prob of picking 1 q and 1 c when two letters picked without replacement from qfecm? 1/10 Four letters picked without replacement from cenyemmennjmj. Give prob of picking 3 m and 1 y. 1/715 Calculate prob of picking 2 j and 2 t when four letters picked without replacement from {t: 5, j: 5}. 10/21 Calculate prob of picking 2 a when two letters picked without replacement from aamaamm. 2/7 Calculate prob of picking 2 m when two letters picked without replacement from vnmmvnvnv. 1/36 Four letters picked without replacement from hhhhhwhhhhohoh. What is prob of picking 2 h and 2 o? 5/91 Two letters picked without replacement from ccccdcccccdddccd. What is prob of picking 1 d and 1 c? 11/24 What is prob of picking 1 d and 1 i when two letters picked without replacement from {f: 2, i: 1, p: 1, q: 2, g: 2, d: 1}? 1/36 What is prob of picking 2 v and 1 p when three letters picked without replacement from {r: 1, p: 1, v: 9, b: 1}? 9/55 What is prob of picking 4 o when four letters picked without replacement from oooooo? 1 Four letters picked without replacement from xiliiixylxxnxyixlix. Give prob of picking 2 l, 1 i, and 1 y. 3/323 Two letters picked without replacement from vplployolpplpvvpvpvq. Give prob of picking 1 v and 1 q. 1/38 What is prob of picking 3 z when three letters picked without replacement from {u: 4, z: 16}? 28/57 Three letters picked without replacement from {o: 17, g: 2}. What is prob of picking 2 g and 1 o? 1/57 Two letters picked without replacement from {e: 17, f: 2}. What is prob of picking 2 f? 1/171 Three letters picked without replacement from ojocwocwucocuf. Give prob of picking 3 c. 1/91 Two letters picked without replacement from bzdzhdbbdq. What is prob of picking 1 h and 1 q? 1/45 Three letters picked without replacement from lkdddkll. Give prob of picking 2 d and 1 l. 9/56 Two letters picked without replacement from uuusshhcuuuuuaq. What is prob of picking 1 h and 1 c? 2/105 Four letters picked without replacement from {y: 5, w: 8}. Give prob of picking 1 w and 3 y. 16/143 Two letters picked without replacement from beeebb. Give prob of picking 2 e. 1/5 What is prob of picking 1 n and 3 j when four letters picked without replacement from nxnjnxxnxjxj? 4/495 Two letters picked without replacement from {t: 2, u: 3}. Give prob of picking 1 u and 1 t. 3/5 Four letters picked without replacement from {w: 1, b: 3, f: 2, v: 1}. What is prob of picking 1 b, 1 v, 1 f, and 1 w? 6/35 Three letters picked without replacement from {i: 2, l: 5, x: 8}. Give prob of picking 1 l and 2 x. 4/13 Four letters picked without replacement from wxuurrryrtrrutt. What is prob of picking 3 t and 1 u? 1/455 Calculate prob of picking 3 w and 1 x when four letters picked without replacement from {w: 18, x: 2}. 32/95 Three letters picked without replacement from hqlhhvflvlohfq. Give prob of picking 1 l, 1 f, and 1 o. 3/182 Two letters picked without replacement from ceaeeacecc. Give prob of picking 2 e. 2/15 Two letters picked without replacement from iiizifz. Give prob of picking 2 i. 2/7 Two letters picked without replacement from hhhhhhmmhh. What is prob of picking 2 h? 28/45 Three letters picked without replacement from jnynnnjnbjby. Give prob of picking 2 y and 1 n. 1/44 Calculate prob of picking 2 p and 2 q when four letters picked without replacement from {q: 3, p: 5, x: 3}. 1/11 Three letters picked without replacement from {d: 3, j: 1, h: 4}. What is prob of picking 1 j, 1 h, and 1 d? 3/14 Three letters picked without replacement from {v: 4, o: 1, b: 4, j: 6, d: 3, a: 1}. What is prob of picking 1 b and 2 v? 8/323 Two letters picked without replacement from {q: 1, o: 1, g: 7}. What is prob of picking 1 o and 1 q? 1/36 What is prob of picking 1 v and 1 j when two letters picked without replacement from {v: 4, b: 6, j: 1, d: 2, q: 1, w: 4}? 4/153 Calculate prob of picking 1 a and 3 k when four letters picked without replacement from {k: 2, c: 1, x: 1, a: 3}. 0 Calculate prob of picking 3 m and 1 x when four letters picked without replacement from tmaxgajmmmjx. 8/495 Calculate prob of picking 3 x when three letters picked without replacement from {n: 1, x: 3, o: 6, i: 4}. 1/364 What is prob of picking 3 n when three letters picked without replacement from nninnnnnnln? 28/55 What is prob of picking 1 o and 1 j when two letters picked without replacement from {w: 6, o: 1, j: 4}? 4/55 What is prob of picking 1 k and 1 g when two letters picked without replacement from {s: 4, g: 1, k: 2}? 2/21 Calculate prob of picking 1 a, 1 t, and 1 s when three letters picked without replacement from {q: 5, a: 2, s: 5, t: 2, m: 5}. 20/969 Two letters picked without replacement from vvtttvtt. Give prob of picking 1 t and 1 v. 15/28 Two letters picked without replacement from {f: 2, j: 2, r: 2}. What is prob of picking 1 f and 1 j? 4/15 Three letters picked without replacement from cczcz. What is prob of picking 3 c? 1/10 Three letters picked without replacement from hiyhy. What is prob of picking 1 i, 1 y, and 1 h? 2/5 Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {s: 4, w: 1, p: 1, j: 1, n: 4}. 2/55 Two letters picked without replacement from {w: 2, h: 3, y: 15}. What is prob of picking 1 y and 1 h? 9/38 Three letters picked without replacement from {w: 8, c: 4, k: 4}. Give prob of picking 1 c and 2 k. 3/70 Three letters picked without replacement from lvvdyyvlddyllv. What is prob of picking 3 y? 1/364 Two letters picked without replacement from zzzzkzzzkzkzkzzkzk. What is prob of picking 2 z? 22/51 Four letters picked without replacement from {z: 9, m: 5}. What is prob of picking 3 z and 1 m? 60/143 What is prob of picking 1 u and 1 p when two letters picked without replacement from uppupuupuppu? 6/11 Calculate prob of picking 1 y and 1 k when two letters picked without replacement from wrkkry. 2/15 What is prob of picking 2 p when two letters picked without replacement from {h: 7, p: 7}? 3/13 Two letters picked without replacement from {x: 7, d: 4}. Give prob of picking 1 x and 1 d. 28/55 Two letters picked without replacement from {x: 7, f: 5}. Give prob of picking 2 x. 7/22 What is prob of picking 1 o and 1 p when two letters picked without replacement from opdmdm? 1/15 What is prob of picking 1 o and 2 z when three letters picked without replacement from {o: 3, s: 1, w: 4, z: 11}? 55/323 Four letters picked without replacement from ssosoooiosoio. Give prob of picking 2 o and 2 s. 126/715 Calculate prob of picking 3 y when three letters picked without replacement from {y: 17, v: 1}. 5/6 What is prob of picking 1 v and 2 g when three letters picked without replacement from ghhvqguhhmqhq? 1/286 Four letters picked without replacement from {y: 6, h: 6}. Give prob of picking 4 y. 1/33 What is prob of picking 1 o and 1 w when two letters picked without replacement from dbddddddwwobodo? 2/35 Calculate prob of picking 2 n when two letters picked without replacement from {l: 6, n: 4}. 2/15 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from iviioibbviibc. 2/13 Three letters picked without replacement from exexoxorxooxxxorrr. Give prob of picking 2 o and 1 x. 35/408 Four letters picked without replacement from uuuyyuyyyfy. What is prob of picking 1 f, 1 y, and 2 u? 6/55 Calculate prob of picking 1 t and 1 e when two letters picked without replacement from tteru. 1/5 What is prob of picking 2 x and 1 i when three letters picked without replacement from {x: 4, h: 3, i: 1, z: 3}? 2/55 Four letters picked without replacement from {n: 7, r: 12}. Give prob of picking 4 n. 35/3876 Two letters picked without replacement from {c: 1, x: 9, v: 2, i: 8}. Give prob of picking 1 i and 1 c. 4/95 Two letters picked without replacement from jzjvjvvxwvjj. What is prob of picking 1 v and 1 x? 2/33 Three letters picked without replacement from akkkakkkkakk. Give prob of picking 1 k and 2 a. 27/220 Two letters picked without replacement from {r: 1, a: 1, q: 1, k: 1, t: 3}. Give prob of picking 1 a and 1 k. 1/21 Four letters picked without replacement from {e: 7, n: 12}. Give prob of picking 4 e. 35
{ "pile_set_name": "DM Mathematics" }
g(-12) prime? False Let f = 8 + -4. Suppose -141 = 87*z - 1185. Is f/(-24) - (-9446)/z prime? True Let t(n) = -n**3 + 20*n**2 - 4*n + 82. Let d be t(20). Is 2*d/22 - 791595/(-231) composite? True Let d(o) = 15*o - 37. Let i be (0 - -3)*(3 - -7). Suppose v - g + 0 = 6, -5*v + i = 4*g. Is d(v) a composite number? False Let h(y) = 334*y**2 + 5*y - 5. Let z be 26/5 + (-128)/(-160). Is h(z) composite? False Let n(t) = -893*t**3 + 11*t**2 + 18*t + 193. Is n(-8) a prime number? False Suppose 3*f + 7502 = 4*i, 7462 = -3*f - 3*i - i. Suppose -6*n + 26*n - 92940 = 0. Let r = f + n. Is r composite? False Let v(k) = -1057*k - 116. Let l = 134 + -159. Is v(l) composite? False Let k = -49 - -52. Suppose t = -4, -2*p + 1800 + 572 = k*t. Is ((-2)/4)/(1/p*-2) prime? False Suppose -4*l - 3 = 13. Let t be 3 + 5/((-10)/l). Let s(z) = 3*z**2 - 4*z - 4. Is s(t) prime? False Let a(h) = -753*h + 156. Let s be a(-7). Suppose 2*i + y - 5437 = -3*i, 4*y = 5*i - s. Is i a composite number? False Suppose 37*j - 215 = -6*j. Suppose 607442 = j*x + 17*x. Is x composite? False Let t be 11*(25/3 - (-1)/(-3)). Let m be t/16 + (-2)/4. Suppose -f = m*c - 1504 + 224, 3*c + f - 766 = 0. Is c prime? True Let t(d) = 111*d**3 - 8*d**2 + 99*d + 27. Is t(7) composite? True Let f be ((-36)/(-20) - 1)/((-2)/(-10990)). Suppose -f = -4*p - 3*w - w, -2226 = -2*p + 5*w. Is p a composite number? False Let k(z) be the first derivative of z**2 + 18*z - 12. Let l be k(-6). Is l/(-27) - ((-3431)/9 - -2) prime? True Let j(u) = 68*u**2 - 3*u + 57. Let s be j(13). Suppose 0 = -3*l + 17923 + s. Is l a prime number? True Let t = -373909 + 615026. Is t a prime number? True Suppose 5*j + 5*y + 7155 = 0, 3*y + 7185 = -5*j + 4*y. Suppose -3*u = 3, 3*q - u + 728 = -0*u. Let k = q - j. Is k a prime number? True Let r = -4695 + 2090. Let s = -1779 - r. Let c = 1113 + s. Is c prime? False Suppose -21782590 = -361*i - 3499023. Is i prime? True Suppose 4*n - 3*h - 2*h = 8, 5*n = -3*h + 10. Let k be (-3 + 1 + n)/(-1). Suppose k = -3*o - 126 + 1569. Is o prime? False Is 55379 - -5*(-18)/(-45) a composite number? False Let c(z) = -13*z - 23. Let k(y) = 3*y + 15. Let o be k(-8). Let m be c(o). Suppose -2178 + m = -2*h. Is h composite? True Let f(v) = -1485*v - 75. Let g be f(29). Is 6 + (-2 - g - -7) composite? False Let a be 20/14 - (-9)/(-21). Let p(x) = x + 1. Let u be p(a). Suppose -u*r = -7*r + 11665. Is r prime? True Suppose -3*m + 5*l + 233822 = 0, -6*m + 171648 = -4*l - 295954. Is m prime? True Let j = -62072 + 92875. Is j composite? False Suppose -4*j + 3*m = -4, 4*j - 4*m - 4 = 4. Let s(l) = -19*l**3 - 3*l - 1. Let n be s(j). Suppose -n = -3*y - c + 200, 2*y = -4*c + 238. Is y prime? False Let q = 166 - 163. Suppose -2039 = -q*y + 2*t, y - 315 = t + 365. Is y a prime number? False Let c(i) = 3*i**2 - 2396*i + 84. Is c(-113) prime? False Let m(v) = v + 5. Let c be m(2). Suppose c*t - 4 = 3. Let d(n) = 35*n**2 - n + 1. Is d(t) a prime number? False Suppose -3*h + 5*i + 160422 = 0, 4*i - 333781 = -4*h - 119853. Is h prime? True Let i = 79995 - 56564. Is i a prime number? True Suppose 5*k - 715700 = 62*x - 59*x, -2*x + 143127 = k. Is k a composite number? False Is (306/17 - -204421) + -12 a composite number? False Suppose 30*a - 3739665 = 4464045. Is a a prime number? True Suppose 0 = -321*d + 348*d - 5481. Is d composite? True Suppose 0 = v + 5, -4*v + 28 = 3*h - h. Let l = 103 - h. Is l a composite number? False Let a(q) = -29*q - 74 + 69*q - 30*q. Let l be a(6). Let f(r) = -460*r - 7. Is f(l) composite? True Let h = -226800 + 584563. Is h a composite number? True Let m = 426678 - 133049. Is m composite? True Let u(h) = -3798*h + 55. Is u(-6) composite? True Let v(j) = -j + 5. Let a be v(12). Is ((-46613)/a - 1) + -5 prime? True Let l(h) = 31303*h**3 + 33*h - 33. Is l(1) prime? False Let r(x) = 704*x**2 - 41*x - 1. Is r(-2) prime? True Let r = 164570 + 174323. Is r a prime number? True Suppose 2*w - 441 = 3*h, -1 = -w + 2. Let j = h + 5224. Is j a prime number? False Let q = 283002 - -463741. Is q a composite number? False Let z = -4632 - -8735. Is z composite? True Let f(y) = 636*y - 17. Let w(z) = z**3 - 4*z**2 + 5. Let b = 33 - 29. Let s be w(b). Is f(s) prime? True Suppose 0*d = 13*d - 65. Suppose -4*a + j - d*j + 388 = 0, 0 = -2*a + 2*j + 194. Is a a prime number? True Suppose -z - 5 = -c + 3, -c + 2 = z. Suppose 0 = -5*n, -c*q = 3*n + 41 + 8639. Let u = q + 2475. Is u composite? False Suppose -90*c + 9464734 = -28*c. Is c a composite number? False Let s(l) = -l**2 - 5*l - 1. Let i be s(-2). Suppose 2*a + i*p = 2179, 4*a + 0*p = 4*p + 4428. Let k = -423 + a. Is k a prime number? False Let m = -334494 + 773155. Is m a composite number? False Suppose 0*n + 3*n - 5*l = 22, -5*n + 2*l + 24 = 0. Suppose -j - 5*u + 434 - 41 = 0, 0 = n*u. Is j a prime number? False Let u(p) = 4*p + 11. Let n be u(-8). Let c = 17 + n. Is 162 + 4 + -4 + c a composite number? True Let d be ((-9)/2 - -3)*14/3. Let r(q) = -287*q + 18. Let j be r(d). Suppose 5*z - 1698 = j. Is z a prime number? False Suppose 0*i = i - 51. Let v = i + -50. Is ((-3)/v)/((-6)/312) + 1 a composite number? False Let s(x) = -8*x - 20. Suppose y + y + 8 = 0. Let m be s(y). Suppose -212 = -m*a + 8*a. Is a a composite number? False Let x(c) = 2*c - 10. Let y be x(7). Suppose y*r + 29 = -3*i, 4*r - 3*i + 0 = -11. Is (r - 1409 - 0)/(-2) composite? True Is (-4686435)/(-165) + (-68)/(-187) a prime number? True Let v = 5665 - -17489. Suppose 5*s - 9874 - 13296 = -4*b, -4*b + 3*s = -v. Let w = b - 3695. Is w a composite number? True Let h = 663115 - 453582. Is h a composite number? False Suppose -15 = 5*y, 15*f = 10*f + y + 149588. Is f prime? True Suppose 46062 = 5*w + 12767. Suppose -w - 27191 = -10*v. Is v a prime number? False Suppose -1524467 = -57*h + 5808754. Is h a prime number? False Let g = 827 + -813. Suppose -244669 = -g*x + 43759. Is x prime? False Let r(x) = -4147*x**3 - 22*x**2 - 8*x + 3. Is r(-4) composite? False Let w be (-18 - (-3)/1)*(-94)/1. Suppose -4*c + 4*u + w - 6462 = 0, 2*c + 2502 = -4*u. Let p = 108 - c. Is p prime? True Let c(i) = 45*i**2 + 240*i + 146. Is c(51) a composite number? True Let t(r) = -36*r**2 + 19*r**2 - 8 - 7*r + 16*r**2. Let w be t(-5). Suppose w*p - 11 = -m, -p + 0*m + 18 = 3*m. Is p composite? False Let v = 1803880 - 533649. Is v prime? True Suppose 17*c - c = 176. Suppose 6*f = 2*i + c*f - 3371, -5*i + 8480 = -5*f. Is i composite? False Let w = 34757 + -20238. Is w prime? True Let v = -2599 - 35949. Is ((12/(-4))/(-3))/((-4)/v) a prime number? False Let j = 109125 - 74491. Suppose 17310 = 2*m + 4*r, -r + j = 4*m - 0*r. Is m a prime number? False Suppose -5*k + 4*t + 1033775 = 0, k = -2*k + 4*t + 620265. Is k a prime number? False Let f(d) = -991*d - 126. Let o be f(11). Let r = o - -26218. Is r a composite number? True Suppose -c + 8*a = -59099, -149*c + 147*c + 118217 = 3*a. Is c prime? True Let d = 42076 - -126301. Is d composite? True Let b be (-418)/44*4/2. Suppose z - 3*y = 96, -5*z + 0*y = -3*y - 528. Let c = z - b. Is c prime? True Let z be -2 + 1 + (8 + 3 - 7). Is (-2 - 3)/(-1) - z*-4168 prime? False Let w(k) = -k**2 - 12*k + 10. Let q be w(-12). Suppose -30 = 2*b + q. Let u(j) = -j**3 - 19*j**2 + 6*j + 37. Is u(b) a composite number? False Suppose -7897 = -3*i + m, 0*i = 5*i - 3*m - 13159. Suppose -a + 4036 = -78*f + 82*f, 0 = a - 4*f - 4028. Let t = a - i. Is t a prime number? True Suppose -8*v + 93123 = -113525. Is v composite? True Let i(p) = 304*p**2 - 7*p + 20. Is i(7) composite? False Let u = -186 - -68. Let m = u + 1527. Is m prime? True Let n(v) = v**2 - 11*v - 7. Let w be n(11). Is (-2)/w + (-570180)/(-140) a composite number? False Let a(o) = -o**2 + 3*o + 22. Let r be a(6). Let m(h) be the third derivative of 41*h**5/60 + h**4/8 + 5*h**3/6 - 7*h**2. Is m(r) composite? False Suppose -34*k + 134*k - 18119780 = -4883880. Is k a composite number? True Let q = -84 - -79. Let g be (-1 + 3)*(-1 + 4 + q). Is 168 + (2 - g) + 6/2 prime? False Suppose 3*m - 11138 = m. Let h = -2160 + m. Suppose -5*y = 4*v - 3399, -4*v + 0*y = -5*y - h. Is v prime? False Let d be (-4 + -4)*-1 - -20. Suppose d*r = -22596 + 203168. Is r composite? False Let t be (4/1 - 95587)*(-4)/6. Suppose 15*h - t = 22573. Is h composit
{ "pile_set_name": "DM Mathematics" }
s the greatest common factor of 100 and d? 10 Let f(j) = j**3 + 7*j**2 + 3*j - 8. Let m be f(-5). Calculate the greatest common factor of m and 72. 9 Let o = -14 - -47. Suppose -3*w = 5*q - 232, 13*q = 8*q - w + 224. What is the greatest common divisor of q and o? 11 Let k be (14 - (-2 - 0)) + -2. Let n = k - 6. Let h = 232 - 220. Calculate the greatest common divisor of n and h. 4 Let p be 0 - (-2 + 66/(-3)). Suppose 0 = -t - 2*o + 6 + 11, 4*t = 3*o + p. Calculate the highest common divisor of 27 and t. 9 Let z = 4 - -21. Let m = -1049 - -1054. What is the greatest common factor of z and m? 5 Let v be 4/10 + 126/10. Suppose -32 = -a - 3*l + 30, l = -3*a + 194. What is the greatest common divisor of v and a? 13 Suppose 5*d - 548 - 442 = 4*a, -5*d + 3*a + 990 = 0. Let x be ((-28)/(-12))/(3/d). Suppose 5*b - 881 - x = 0. Calculate the greatest common factor of 23 and b. 23 Suppose -12*k = -9*k - 87. Let j = 81 + k. What is the greatest common divisor of j and 22? 22 Let x = -308 - -334. What is the highest common divisor of 52 and x? 26 Suppose -s + 3*j + 46 = 5*j, 0 = -5*s - 5*j + 255. Let c be s/1 - -4*5/(-20). Calculate the greatest common factor of 22 and c. 11 Let b = -449 + 467. Calculate the highest common divisor of 72 and b. 18 Let j(d) = d**2 + d - 18. Let x be j(5). Suppose 0*s - b + 659 = 5*s, 3*s - 393 = -3*b. Calculate the highest common divisor of s and x. 12 Suppose -4*s + 5*s + 5*a = 3, -62 = -4*s + 5*a. Suppose 3*r - s = 2*r - l, 2*l - 6 = 0. Calculate the highest common divisor of r and 20. 10 Let o be 56 + (-4 - (-2 - 2)). Suppose 180 = 3*b + r - o, -4*r + 405 = 5*b. What is the highest common factor of 11 and b? 11 Let s(k) = -13*k - 75. Let g be s(-6). Let d = 1 + -1. Suppose -g*n = -4*z + 40, z - 4*n + 3 = -d*z. Calculate the highest common factor of 52 and z. 13 Let x be ((-24)/(-30))/((-6)/(-45)) - 0. Calculate the greatest common divisor of 222 and x. 6 Suppose -5*f = -3*u + 97, u + 4*u + f = 115. Calculate the highest common divisor of 408 and u. 24 Suppose 11 = 3*y - 664. Suppose 2*p = 171 + y. What is the greatest common factor of p and 18? 18 Let i be (-157 - -77)*10/(-2). What is the highest common divisor of 25 and i? 25 Let y(m) be the third derivative of m**6/120 - 19*m**5/60 - 3*m**4/4 - 2*m**3 + 2*m**2. Let z be y(20). What is the greatest common factor of 70 and z? 14 Suppose b + k - 76 = 86, 5*b - 4*k = 837. What is the greatest common factor of b and 198? 33 Let y be -8 + 7 + 3/(6/130). What is the greatest common factor of 240 and y? 16 Let b(f) = 33*f**2 + 1. Let u be b(-2). Suppose -u - 47 = -2*a. Suppose -w + 2*w = 5*y + a, -5*w = 4*y - 450. Calculate the highest common divisor of 10 and w. 10 Suppose x + 2348 = 5*p + 3*x, -3*p - 4*x = -1420. Suppose 0*y = 4*y - p. What is the highest common divisor of 13 and y? 13 Let u(j) = j**2 + j + 36. Let o be u(0). Let h = -14 + 8. Let p be (-55)/h - 6/o. What is the greatest common divisor of 72 and p? 9 Let v be ((-980)/(-16))/5 - 1/4. What is the highest common factor of v and 12? 12 Let d be 2 + (-1)/(-1) + (-3600)/(-16). Calculate the greatest common divisor of d and 76. 76 Suppose 0 = -14*z + 27*z - 455. Calculate the greatest common factor of z and 70. 35 Suppose -3*w = -r - 38 + 54, -3*w = 5*r - 44. Calculate the highest common factor of 1790 and r. 10 Let u be ((-774)/(-215))/((-34)/(-30) + -1). Calculate the greatest common divisor of 459 and u. 27 Suppose 3*x - 56 = -4*x. Suppose -7*r - 9 = -x*r. Calculate the greatest common divisor of r and 72. 9 Let z = -108 + 119. Let w = 9 - 6. Suppose w*n + 3 - 6 = 0. What is the highest common divisor of z and n? 1 Let g(l) = -l**3 + 6*l**2 + 15*l + 22. Let b be g(8). Calculate the highest common divisor of b and 784. 14 Let c be (-1)/(-13)*-2 - (-61467)/273. Calculate the greatest common divisor of 25 and c. 25 Let x = 162 - 146. Let d be 1539/12 - (-2)/(-8). Calculate the highest common divisor of x and d. 16 Suppose 0 = 6*i - 2*i + 32. Let b be 68/i*16/(-1). Let f(n) = -n**3 + 12*n**2 + 13*n + 17. Let a be f(13). What is the highest common divisor of a and b? 17 Suppose -3*a = -6*a + 24. Suppose -2*j - 1 + 17 = 0. What is the highest common factor of a and j? 8 Suppose 3*u + 10 = 8*u. Let j = 42 + 265. Suppose -3*x - u*n + j = 0, -x = x + 2*n - 208. What is the greatest common factor of x and 9? 9 Let r(f) = -2*f**3 - 2*f**2 + f. Let i be r(-2). Let u be (112/(-35))/(i/(-15)). Let p be 124/6 + 2/(-3). What is the greatest common divisor of u and p? 4 Let q = 183 - 175. Let b = -135 + 73. Let i = b + 94. What is the greatest common factor of q and i? 8 Let m be 2196/20*250/30. What is the highest common factor of m and 15? 15 Let d(u) = 2*u**2 + 15*u. Let j be d(-12). Suppose -3*x + x + 4*q = -146, -3*q + 174 = 2*x. What is the highest common factor of x and j? 27 Let y be (0 - 20)*(3 - 5). Suppose -4*z + 149 = -111. Suppose z*a + 5 = 66*a. Calculate the highest common divisor of a and y. 5 Let d be 5 - (-16 - 2 - -10). Let y be (-182)/(-6)*(-6)/(-2). Calculate the greatest common factor of d and y. 13 Let f = -2 - -15. Let c be ((-168)/(-384)*4)/((-2)/(-104)). What is the greatest common factor of c and f? 13 Suppose -51 = -8*t + 85. Calculate the greatest common factor of 34 and t. 17 Suppose 0 = -7*z - 388 + 1473. What is the highest common divisor of z and 496? 31 Let u be (2/(-3))/(8/(-12)). What is the greatest common divisor of 113 and u? 1 Let m = -775 + 859. What is the highest common divisor of 9 and m? 3 Let i(p) = -21*p - 61. Let v be i(-3). Let d(n) = n + 1. Let c be d(1). What is the highest common divisor of c and v? 2 Let z = 2560 - 1507. Calculate the highest common divisor of 78 and z. 39 Let l be (-1)/(-7 - 91/(-14)). Calculate the highest common factor of 34 and l. 2 Let n(v) = 6*v**2 + 218*v + 75. Let u be n(-36). Calculate the greatest common factor of u and 24. 3 Let p be (-6)/(((-153)/(-18))/(-17)). What is the greatest common factor of 12 and p? 12 Suppose -h - 4*q = -72, 4*h + 5*q = -56 + 388. Suppose -2*r = -7*r + 55. Calculate the highest common factor of h and r. 11 Suppose -4*i - 2*m = -146, -5*m + 18 = 3. Calculate the greatest common divisor of i and 385. 35 Suppose 150 = -2*b + 952. Let j = b + -275. Calculate the greatest common divisor of 14 and j. 14 Let m = -280 + 490. Suppose -9*x = -4*x - m. Calculate the highest common divisor of 6 and x. 6 Let c be (-1)/1 + (-652)/(-4). Let n = -1065 - -1083. Calculate the greatest common divisor of n and c. 18 Suppose 0 = -32*x + 28*x + 80. Calculate the highest common divisor of x and 130. 10 Let s = 13 - 17. Let w be 60*(1 + s/(-12)). Let v be (-18)/(-15)*(-40)/(-3). What is the greatest common divisor of v and w? 16 Suppose 53 = 3*t + 8. Suppose 25 = 4*z - t. Suppose -q = 4 - z. Calculate the highest common divisor of q and 54. 6 Let f = -28 + 46. Let a be ((-4)/6*3)/((-16)/504). Calculate the highest common factor of f and a. 9 Let f(y) = 4*y**2 - 9*y + 3. Let i = 17 - 9. Let v be f(i). Suppose -5*x + 9*m = 6*m - 94, 3*m + 9 = 0. What is the greatest common divisor of x and v? 17 Let j be 6/(-21) + 2/7. Suppose g = 3 - j. Suppose 0*x + 2*h = g*x - 241, -5*x + 400 = -3*h. Calculate the highest common divisor of x and 11. 11 Suppose -17*g = -12*g, 3*s - 246 = -4*g. What is the greatest common divisor of s and 1312? 82 Let s be (-6)/(-15) + 18/5. Let u be 19 + -2 + 4 + -3. Suppose -4*d = -d - u. Calculate the greatest common divisor of d and s. 2 Suppose -4*y + 5*y - 71 = 5*u, -3*y + 2*u = -161. What is the greatest common divisor of y and 595? 17 Suppose -j + 15 = 4*j, -5*h - 5*j = -355. What is the greatest common divisor of 8 and h? 4 Let d(x) = -x**2 - 11. Let f be d(6). Let r = -28 - 1. Let p = r - f. Calculate the highest common factor of p and 18. 18 Let v = -1590 + 1650. Calculate the greatest common factor of v and 885. 15 Suppose 5*b = -4*f + 206 + 445, f - b = 156. Suppose 0 = -2*s + 51 + f. Suppose 0 = -8*j + 5*j + s. What is the highest common factor of 14 and j? 7 Let k = 61 - 59. Suppose -3*q - q = 3*x - 32, 0 = -k*x + q + 36. Calculate the highest common divisor of 40 and x. 8 Let q be ((-154)/28)/(2/44*-1). Calculate the highest common divisor of q and 11. 11 Suppose -h = -2*g - 38, -8*h - 5*g + 205 = -3*h. What
{ "pile_set_name": "DM Mathematics" }
is the units digit of 8413? 3 What is the ten thousands digit of 141055? 4 What is the hundreds digit of 1505? 5 What is the ten thousands digit of 10978? 1 What is the tens digit of 54584? 8 What is the thousands digit of 91891? 1 What is the ten thousands digit of 23050? 2 What is the hundreds digit of 98999? 9 What is the ten thousands digit of 29457? 2 What is the hundreds digit of 634? 6 What is the units digit of 46100? 0 What is the thousands digit of 37422? 7 What is the tens digit of 5318? 1 What is the units digit of 800? 0 What is the thousands digit of 3862? 3 What is the units digit of 41703? 3 What is the units digit of 240? 0 What is the tens digit of 16080? 8 What is the tens digit of 17096? 9 What is the hundreds digit of 6443? 4 What is the hundreds digit of 8868? 8 What is the hundreds digit of 5095? 0 What is the hundreds digit of 367? 3 What is the tens digit of 1466? 6 What is the units digit of 36242? 2 What is the hundreds digit of 76896? 8 What is the tens digit of 14903? 0 What is the hundreds digit of 5635? 6 What is the hundreds digit of 30680? 6 What is the tens digit of 39? 3 What is the units digit of 3982? 2 What is the hundreds digit of 12391? 3 What is the tens digit of 10196? 9 What is the hundreds digit of 2515? 5 What is the hundreds digit of 630? 6 What is the tens digit of 993? 9 What is the units digit of 20747? 7 What is the thousands digit of 2320? 2 What is the tens digit of 3479? 7 What is the ten thousands digit of 113943? 1 What is the units digit of 12381? 1 What is the units digit of 1710? 0 What is the tens digit of 1663? 6 What is the units digit of 483? 3 What is the ten thousands digit of 13498? 1 What is the thousands digit of 106889? 6 What is the thousands digit of 1810? 1 What is the hundreds digit of 1996? 9 What is the tens digit of 10044? 4 What is the thousands digit of 24837? 4 What is the thousands digit of 35782? 5 What is the tens digit of 3325? 2 What is the hundreds digit of 57676? 6 What is the hundreds digit of 2006? 0 What is the units digit of 107450? 0 What is the units digit of 1304? 4 What is the thousands digit of 2670? 2 What is the units digit of 1722? 2 What is the thousands digit of 23996? 3 What is the thousands digit of 57969? 7 What is the units digit of 967? 7 What is the thousands digit of 42918? 2 What is the units digit of 3164? 4 What is the units digit of 49? 9 What is the thousands digit of 66251? 6 What is the tens digit of 251? 5 What is the thousands digit of 3671? 3 What is the units digit of 102852? 2 What is the thousands digit of 1307? 1 What is the hundreds digit of 1151? 1 What is the tens digit of 140? 4 What is the tens digit of 4202? 0 What is the tens digit of 2843? 4 What is the units digit of 6018? 8 What is the units digit of 22646? 6 What is the tens digit of 3922? 2 What is the ten thousands digit of 72400? 7 What is the hundreds digit of 6547? 5 What is the hundreds digit of 22639? 6 What is the tens digit of 4468? 6 What is the hundreds digit of 1643? 6 What is the hundreds digit of 332? 3 What is the thousands digit of 12091? 2 What is the units digit of 972? 2 What is the hundreds digit of 3549? 5 What is the tens digit of 2282? 8 What is the thousands digit of 1219? 1 What is the units digit of 2410? 0 What is the tens digit of 667? 6 What is the hundreds digit of 741? 7 What is the hundreds digit of 10854? 8 What is the units digit of 354? 4 What is the ten thousands digit of 30196? 3 What is the thousands digit of 8584? 8 What is the ten thousands digit of 17310? 1 What is the hundreds digit of 19548? 5 What is the units digit of 1781? 1 What is the hundreds digit of 2338? 3 What is the thousands digit of 78310? 8 What is the units digit of 23905? 5 What is the thousands digit of 1332? 1 What is the units digit of 485? 5 What is the units digit of 15? 5 What is the thousands digit of 1524? 1 What is the units digit of 453? 3 What is the thousands digit of 25257? 5 What is the units digit of 9451? 1 What is the hundreds digit of 4982? 9 What is the hundreds digit of 5368? 3 What is the hundreds digit of 1896? 8 What is the tens digit of 44822? 2 What is the ten thousands digit of 147003? 4 What is the ten thousands digit of 12943? 1 What is the tens digit of 33221? 2 What is the units digit of 12206? 6 What is the ten thousands digit of 21835? 2 What is the hundreds digit of 62325? 3 What is the hundred thousands digit of 149014? 1 What is the tens digit of 80042? 4 What is the tens digit of 1162? 6 What is the thousands digit of 19180? 9 What is the units digit of 2749? 9 What is the tens digit of 3520? 2 What is the hundreds digit of 8423? 4 What is the tens digit of 39299? 9 What is the units digit of 3156? 6 What is the tens digit of 462? 6 What is the hundreds digit of 16982? 9 What is the ten thousands digit of 10455? 1 What is the hundreds digit of 68097? 0 What is the tens digit of 734? 3 What is the hundreds digit of 13005? 0 What is the thousands digit of 6710? 6 What is the thousands digit of 3895? 3 What is the thousands digit of 7673? 7 What is the thousands digit of 9575? 9 What is the hundreds digit of 5560? 5 What is the thousands digit of 1026? 1 What is the thousands digit of 1325? 1 What is the hundreds digit of 1678? 6 What is the units digit of 540? 0 What is the thousands digit of 52383? 2 What is the tens digit of 18076? 7 What is the ten thousands digit of 23671? 2 What is the units digit of 13618? 8 What is the tens digit of 1450? 5 What is the units digit of 985? 5 What is the thousands digit of 136160? 6 What is the hundreds digit of 2079? 0 What is the units digit of 27291? 1 What is the hundreds digit of 12720? 7 What is the hundreds digit of 767? 7 What is the tens digit of 56037? 3 What is the tens digit of 23186? 8 What is the tens digit of 2496? 9 What is the ten thousands digit of 63045? 6 What is the ten thousands digit of 27817? 2 What is the hundreds digit of 97956? 9 What is the hundreds digit of 31530? 5 What is the units digit of 232? 2 What is the units digit of 748? 8 What is the units digit of 435? 5 What is the hundreds digit of 3318? 3 What is the units digit of 258? 8 What is the tens digit of 5184? 8 What is the units digit of 2378? 8 What is the tens digit of 27540? 4 What is the units digit of 141080? 0 What is the tens digit of 1189? 8 What is the thousands digit of 1250? 1 What is the thousands digit of 9995? 9 What is the hundreds digit of 3128? 1 What is the thousands digit of 1123? 1 What is the units digit of 635? 5 What is the units digit of 30506? 6 What is the units digit of 6272? 2 What is the thousands digit of 43986? 3 What is the units digit of 7259? 9 What is the ten thousands digit of 18887? 1 What is the units digit of 1381? 1 What is the hundreds digit of 684? 6 What is the units digit of 1246? 6 What is the ten thousands digit of 27979? 2 What is the tens digit of 892? 9 What is the units digit of 77? 7 What is the hundreds digit of 980? 9 What is the hundreds digit of 1250? 2 What is the hundreds digit of 1868? 8 What is the hundreds digit of 2154? 1 What is the units digit of 345? 5 What is the thousands digit of 4991? 4 What is the hundreds digit of 8056? 0 What is the units digit of 8238? 8 What is the units digit of 68253? 3 What is the hundreds digit of 63797? 7 What is the units digit of 3373? 3 What is the hundreds digit of 117400? 4 What is the units digit of 1533? 3 What is the ten thousands digit of 62041? 6 What is the units digit of 182? 2 What is the thousands digit of 7525? 7 What is the tens digit of 3672? 7 What is the tens digit of 348? 4 What is the thousands digit of 22139? 2 What is the tens digit of 104412? 1 What is the units digit of 520? 0 What is the units digit of 21941? 1 What is the thousands digit of 30792? 0 What is the units digit of 135? 5 What is the hundreds digit of 289? 2 What is the units digit of 2633? 3 What is the tens digit of 987? 8 What is the tens digit of 2612? 1 What is the tens digit of 13461? 6 What is the units digit of 151161? 1 What is the ten thousands digit of 18562? 1 What is the thousands digit of 20948? 0 What is the hundreds digit of 672? 6 What is the units digit of 7902? 2 What is the hundreds digit of 1
{ "pile_set_name": "DM Mathematics" }
72, -5931, -8570, -11689? -240*i**2 + i + 64 What is the k'th term of -39083, -39075, -39061, -39041, -39015, -38983, -38945? 3*k**2 - k - 39085 What is the a'th term of 238, 876, 1932, 3400, 5274, 7548, 10216, 13272? -a**3 + 215*a**2 + 24 What is the s'th term of 89154, 89113, 89062, 88995, 88906, 88789? -s**3 + s**2 - 37*s + 89191 What is the i'th term of 24640, 49271, 73902, 98533, 123164? 24631*i + 9 What is the a'th term of 7984, 8032, 8080? 48*a + 7936 What is the i'th term of -24146, -48290, -72434, -96578? -24144*i - 2 What is the y'th term of 582, 582, 584, 588? y**2 - 3*y + 584 What is the r'th term of -8353, -16712, -25071, -33430, -41789, -50148? -8359*r + 6 What is the o'th term of -5572, -11157, -16744, -22333, -27924, -33517, -39112? -o**2 - 5582*o + 11 What is the a'th term of 171010, 171009, 171008, 171007, 171006? -a + 171011 What is the f'th term of 217212, 434431, 651656, 868887, 1086124, 1303367? 3*f**2 + 217210*f - 1 What is the x'th term of -190, -333, -462, -577, -678, -765, -838? 7*x**2 - 164*x - 33 What is the o'th term of 131127, 262253, 393379, 524505? 131126*o + 1 What is the x'th term of -1625, -3112, -4599, -6086, -7573? -1487*x - 138 What is the q'th term of 909, 925, 941, 957? 16*q + 893 What is the u'th term of -1285, -1289, -1303, -1333, -1385, -1465? -u**3 + u**2 - 1285 What is the o'th term of 73, 164, 277, 412? 11*o**2 + 58*o + 4 What is the q'th term of -478, -547, -620, -697? -2*q**2 - 63*q - 413 What is the v'th term of -2137, -8564, -19275, -34264, -53525, -77052? v**3 - 2148*v**2 + 10*v What is the f'th term of 53, 102, 263, 596, 1161? 10*f**3 - 4*f**2 - 9*f + 56 What is the q'th term of 232964, 232966, 232966, 232964, 232960, 232954, 232946? -q**2 + 5*q + 232960 What is the x'th term of -16846, -16847, -16848, -16849? -x - 16845 What is the y'th term of 264, 999, 2206, 3885, 6036? 236*y**2 + 27*y + 1 What is the u'th term of 398, 699, 1000, 1301, 1602? 301*u + 97 What is the y'th term of 32052, 64054, 96056, 128058? 32002*y + 50 What is the v'th term of -1188, -4836, -10896, -19362, -30228, -43488, -59136? v**3 - 1212*v**2 - 19*v + 42 What is the y'th term of -4413248, -4413249, -4413250, -4413251, -4413252, -4413253? -y - 4413247 What is the p'th term of 4447, 17757, 39927, 70957? 4430*p**2 + 20*p - 3 What is the d'th term of -19, 105, 519, 1367, 2793? 24*d**3 + d**2 - 47*d + 3 What is the o'th term of -513, -1586, -3233, -5460, -8273, -11678? -o**3 - 281*o**2 - 223*o - 8 What is the g'th term of 253, 497, 749, 1009, 1277, 1553, 1837? 4*g**2 + 232*g + 17 What is the w'th term of -17, -5, 171, 619, 1447, 2763, 4675, 7291? 18*w**3 - 26*w**2 - 36*w + 27 What is the y'th term of -3149, -3178, -3225, -3290, -3373? -9*y**2 - 2*y - 3138 What is the l'th term of 192021, 384042, 576063, 768084, 960105? 192021*l What is the s'th term of 488, 1939, 4368, 7781, 12184? s**3 + 483*s**2 - 5*s + 9 What is the d'th term of -888, -977, -1066, -1155? -89*d - 799 What is the q'th term of -883, -1809, -2737, -3667, -4599, -5533? -q**2 - 923*q + 41 What is the n'th term of 139658, 139667, 139674, 139679, 139682, 139683, 139682? -n**2 + 12*n + 139647 What is the z'th term of 112456, 449820, 1012094, 1799278, 2811372? 112455*z**2 - z + 2 What is the j'th term of -637192, -637191, -637190? j - 637193 What is the m'th term of 179, 345, 495, 623, 723, 789, 815, 795? -m**3 - 2*m**2 + 179*m + 3 What is the h'th term of 5072, 10138, 15202, 20264, 25324? -h**2 + 5069*h + 4 What is the s'th term of 343, 332, 315, 292? -3*s**2 - 2*s + 348 What is the w'th term of -1246, -1252, -1258, -1264, -1270, -1276? -6*w - 1240 What is the a'th term of 741528, 741529, 741530? a + 741527 What is the j'th term of -450, -393, -336, -279? 57*j - 507 What is the p'th term of 494, 3981, 13410, 31751, 61974, 107049, 169946, 253635? 495*p**3 + p**2 + 19*p - 21 What is the z'th term of 37861, 151436, 340737, 605770, 946541? z**3 + 37857*z**2 - 3*z + 6 What is the d'th term of -3296, -6593, -9878, -13145, -16388, -19601? d**3 - 3304*d + 7 What is the q'th term of -376, -749, -1128, -1513, -1904, -2301, -2704? -3*q**2 - 364*q - 9 What is the r'th term of 227, 414, 659, 962, 1323? 29*r**2 + 100*r + 98 What is the h'th term of 516149, 1032296, 1548443, 2064590, 2580737? 516147*h + 2 What is the j'th term of 36667, 73329, 109991, 146653? 36662*j + 5 What is the t'th term of -5419, -10841, -16263, -21685, -27107? -5422*t + 3 What is the p'th term of 226, 334, 534, 838, 1258? 2*p**3 + 34*p**2 - 8*p + 198 What is the a'th term of -4849199, -4849200, -4849201? -a - 4849198 What is the k'th term of 71028, 142054, 213080, 284106, 355132, 426158? 71026*k + 2 What is the r'th term of 4561, 4572, 4595, 4630? 6*r**2 - 7*r + 4562 What is the o'th term of 86423, 86425, 86427, 86429, 86431? 2*o + 86421 What is the o'th term of -357, -2994, -10161, -24126, -47157? -378*o**3 + 3*o**2 + 18 What is the c'th term of -93609, -93597, -93585? 12*c - 93621 What is the z'th term of -5618, -11238, -16858? -5620*z + 2 What is the m'th term of 43, 40, 35, 28? -m**2 + 44 What is the d'th term of 22, -91, -384, -947, -1870, -3243, -5156? -15*d**3 - 8*d + 45 What is the t'th term of -16913, -33820, -50727, -67634? -16907*t - 6 What is the z'th term of -275, -1090, -2447, -4346, -6787, -9770, -13295? -271*z**2 - 2*z - 2 What is the j'th term of 90, 217, 380, 579, 814? 18*j**2 + 73*j - 1 What is the w'th term of -253, -501, -747, -991, -1233? w**2 - 251*w - 3 What is the u'th term of 204215, 204218, 204235, 204272, 204335, 204430, 204563, 204740? u**3 + u**2 - 7*u + 204220 What is the v'th term of -82, -722, -2452, -5818, -11366? -91*v**3 + v**2 - 6*v + 14 What is the i'th term of -280570, -1122286, -2525146, -4489150, -7014298? -280572*i**2 + 2 What is the x'th term of 6416, 6421, 6428, 6437, 6448, 6461, 6476? x**2 + 2*x + 6413 What is the x'th term of -3033, -2952, -2817, -2628, -2385, -2088? 27*x**2 - 3060 What is the r'th term of -239, -524, -1001, -1670? -96*r**2 + 3*r - 146 What is the f'th term of 81, 67, 47, 21? -3*f**2 - 5*f + 89 What is the s'th term of -403, -409, -417, -427, -439, -453, -469? -s**2 - 3*s - 399 What is the g'th term of 4215, 8423, 12631, 16839, 21047? 4208*g + 7 What is the v'th term of 251831, 251838, 251849, 251864? 2*v**2 + v + 251828 What is the p'th term of -95, -129, -191, -287, -423, -605, -839, -1131? -p**3 - 8*p**2 - 3*p - 83 What is the d'th term of -2782, -2700, -2618, -2536? 82*d - 2864 What is the s'th term of -3295, -3283, -3287, -3313, -3367, -3455, -3583? -s**3 - 2*s**2 + 25*s - 3317 What is the b'th term of -2152, -2142, -2126, -2104, -2076, -2042? 3*b**2 + b - 2156 What is the x'th term of 44, 35, 16, -13? -5*x**2 + 6*x + 43 What is the o'th term of -47889, -47892, -47895, -47898? -3*o - 47886 What is the v'th term of -1052, -4130, -9262, -16448? -1027*v**2 + 3*v - 28 What is the y'th term of -11502, -11860, -12218, -12576, -12934, -13292? -358*y - 11144 What is the p'th term of 189810, 189812, 189816, 189822, 189830? p**2 - p + 189810 What is the i'th term of 270, 495, 722, 951, 1182? i**2 + 222*i + 47 What is the v'th term of -1413520, -1413521, -1413522, -1413523, -1413524, -1413525? -v - 1413519 What is the o'th term of -1708, -3387, -5066, -6745, -8424, -10103? -1679*o - 29 What is the t'th term of 96, 441, 1032, 1869? 123*t**2 - 24*t - 3 What is the d'th term of -715, -1417, -2109, -2791, -3463? 5*d**2 - 717*d - 3 What is the a'th term of -27056, -27148, -27240, -27332, -27424? -92*a - 26964 What is the t'th term of -5178, -5130, -5080, -5028, -4974, -4918? t**2 + 45*t - 5224 What is the y'th term of -1461, -1468, -1493, -1542, -1621, -1736? -y**3 - 3*y**2 + 9*y - 1466 What is the y'th term of 15623, 62679, 141107, 250907, 392079, 564623? 15686*y**2 - 2*y - 61 What is the a'th term of -20065, -20042, -20005, -19948, -19865? a**3 + a**2 + 13*a - 20080 What is the j'th term of -19742, -39538, -59334, -79130, -98926? -19796*j + 54 What is the x'th term of 1393, 5169, 11463, 20275, 31605, 45453? 1259*x**2 - x + 135 What is the h'th term of 33, -15, -105, -237? -21*h**2 + 15*h + 39 What is the z'th term of 37842, 37843, 37844, 37845? z + 37841 What is the v'th term of 36, -206, -608, -1170? -80*v**2 - 2*v + 118 What is the p'th term of
{ "pile_set_name": "DM Mathematics" }
w**4/12 - 4*w**3/3 - w**2 - w - 26. Give f(-6). 10 Let z(w) = w**3 + 6*w**2 - 9*w - 9. Let c be (-21)/14*8/(-3). Let a(p) = p**2 - 3*p - 11. Let f be a(c). What is z(f)? 5 Let h(r) = 4*r**3 + r**2. Let d be h(1). Let o(k) = 3*k**2 - 3*k**2 + d*k**2 - 4*k**2. Suppose 2*c + 10 = -3*c + 2*t, 0 = c - 5*t + 25. Calculate o(c). 0 Let z(j) = -j - 2. Let r(w) = -4*w - 12. Let i be r(-9). Let a = 18 - i. Determine z(a). 4 Let m(b) be the third derivative of -b**5/60 + b**4/24 - 10*b**3/3 - 2*b**2 - 237. Give m(0). -20 Let q = -57 - -52. Let j(d) = -4 + d + 5*d**2 - 5*d**2 - 3*d**3 - 4*d. Let b(r) = 2*r**3 - r**2 + 4*r + 4. Let s(a) = -4*b(a) - 3*j(a). Calculate s(q). 6 Let a(o) = -1 + 42*o**3 - 53*o**3 - 3*o**2 - 1 - 3*o + 8*o**3. Suppose -3 = c - 1. What is a(c)? 16 Let l = 107 + -55. Let b = l + -57. Let n(a) = a**3 + 5*a**2 - 4. Calculate n(b). -4 Suppose -4*d + 5*b - 20 = 0, 4 = 4*d + 2*b - 4. Let i(l) = -l**3 - 22. Determine i(d). -22 Suppose 0 = -10*k + 15*k - 20. Let i(y) = 13*y - 8*y - k*y - 4. Calculate i(0). -4 Suppose -10*f - 66 = -21*f. Let g(i) be the second derivative of i**5/20 - i**4/2 + i**3/6 - 4*i**2 + 4*i. Calculate g(f). -2 Let g(n) = 11 - 2 - 3 + 4*n - 4. Calculate g(-2). -6 Let q(t) = -t**3 - 6*t**2 + 6*t - 9. Let f be q(-7). Let v(r) = 3*r**3 + 2*r**2 - 1. Calculate v(f). -17 Let n(u) = u + 2. Let w(k) = k**2 + 10*k + 8. Let t be w(-11). Let f = t + -17. Suppose -3*a - f*a = 15. Give n(a). -1 Let i(l) = l**2 + 2*l - 5. Let w be (-83)/(-6) - 4/(-24). Suppose -6 = 2*q, 0*q - w = 5*h - 2*q. Determine i(h). 3 Let g(u) = -5*u. Suppose -14 = 2*s - 5*t, 0 = t - 5 + 1. Let a be ((-3)/4)/(s/(-12)). Suppose 1 - 4 = a*v. Determine g(v). 5 Let w(r) = 2*r + 14. Let s be (-96)/10 - (-108)/(-270). Calculate w(s). -6 Let a(i) = -5*i**2 + i + 12 + 4*i**2 - 5. Suppose -64*o = -52*o. What is a(o)? 7 Let t(g) be the second derivative of -g**4/12 - 5*g**3/6 - 3*g**2/2 - 45*g. Determine t(-4). 1 Let u(q) = -q + 11. Let d be u(6). Suppose -2*l = d*y, -3*y + y = l. Let c(p) be the second derivative of -p**4/12 - p**3/6 + 7*p**2/2 + p. Determine c(l). 7 Let p be ((-4)/(-36))/(7/63)*0. Let b(o) = o**2 - o - 1. Calculate b(p). -1 Suppose 10*f + 6 - 36 = 0. Let g(k) = k**3 - 6*k**2 + 3*k + 2. Give g(f). -16 Let p(k) = 1 - 3*k**2 + k**3 - 5 + 1741*k - 1742*k. Give p(4). 8 Let o(x) = -7*x + 7. Suppose 18 = 8*z - 5*z. Let k be (-5)/(0 - -1)*-1. Let c(u) = 6*u - 6. Let h(n) = k*o(n) + z*c(n). What is h(-4)? -5 Let p(o) = o**2 + 6*o - 30. Let i be p(4). Let r(d) = -d**2 + 9*d + 18. Determine r(i). 8 Let o(g) = -6*g - 2 + g**2 - 2 - 3. Let r(b) = 2*b - 4. Let l be r(-9). Let x = l - -28. Give o(x). -7 Let w(k) = 0 - 67 - 1095*k + 554*k + 551*k. Calculate w(6). -7 Let a be -5 - (0 + -2) - -5. Let z = 2 - a. Let x(f) = 2*f - 2 + z + 6 - 3. Determine x(-3). -5 Suppose -4*j - g = -45, -10*j + 9*j = 5*g - 35. Let p(t) = -2*t + 21. What is p(j)? 1 Let u = 7 - 10. Let t(g) = -37*g + 2 + 76*g - 36*g + 0. Give t(u). -7 Let m(o) = -o**3 - 22*o**2 + 2*o + 39. Let b be (7 - 4) + (-24 - 1). What is m(b)? -5 Let m(b) be the second derivative of -3*b**5/4 - b**4/12 - b**3/3 - b**2/2 + 937*b. What is m(-1)? 15 Let b = -101 - -102. Let a(g) be the first derivative of 25*g**3/3 + g**2 - g - 5. Determine a(b). 26 Let t be (35/(-2) + 2)/((-2)/(-4)). Let v = t - -26. Let o(b) = 4*b + 7. What is o(v)? -13 Let z(u) = 1 + 4*u**2 + u**3 + u - 1. Let a = -1072 - -1069. Give z(a). 6 Let d(j) = -2*j - 4. Let i be d(-7). Suppose 5*u + 5*r + i = r, 15 = 3*r. Let p(k) = 2*k - 8. Let v(b) = 4*b - 17. Let t(x) = u*v(x) + 13*p(x). What is t(-5)? -12 Let q(j) = -j**2 + 1 + 20*j**3 - 2*j**3 - j - 9*j**3. Determine q(1). 8 Let p = 1 - -10. Let f(i) = -7*i**2 + 8*i**2 - 2*i**2 - p - 3*i**3 + 2*i**3. What is f(0)? -11 Suppose 34 = 3*x + 373. Let s = x + 117. Let n(v) = v**3 - 2*v**2 - 4*v. Calculate n(s). 16 Let j(c) be the third derivative of -c**5/60 + 3*c**4/8 - 5*c**3/3 - 3*c**2. Suppose 24*a - 62 = 106. Determine j(a). 4 Suppose -3*s - 7 - 5 = 0. Let w(l) = l + 5. Let f(h) = -1. Let k = -8 + 7. Let g(c) = k*w(c) - f(c). Determine g(s). 0 Let g(y) = y**2 + 22*y + 46. Let c(j) = -5*j**2 - 111*j - 233. Let q(u) = 2*c(u) + 11*g(u). Calculate q(-18). 4 Let g(b) be the second derivative of -4*b**3/3 + 9*b**2/2 - b. Let f(z) = -23*z + 26. Let j be ((-18)/15 + -1)*5. Let k(x) = j*g(x) + 4*f(x). Determine k(5). -15 Let u(q) = 75*q**2 - 17*q - 14*q - 2 - 70*q**2. What is u(6)? -8 Let b(m) = -3*m - 24. Let g(j) = 3*j + 23. Let r(l) = -2*b(l) - 3*g(l). What is r(-5)? -6 Let u(s) be the third derivative of s**6/120 - 7*s**5/60 + s**4/2 + s**3/6 + 138*s**2. What is u(4)? 1 Let t(v) = 0*v - v + 57 - 51. Let b be 0/(0 + (-6)/3). Give t(b). 6 Let x(b) = -b**3 + 4*b**2 + 4*b + 11. Let q(g) = -13*g**2 - 28*g + 1. Let s be q(-2). Calculate x(s). 6 Let i(q) = -12*q**2 - 4*q + q**3 - 7*q**2 + 22*q**2. Suppose 4 = 3*s + 4*c, 0 = -3*s - 0*c + 4*c - 28. Calculate i(s). 0 Let y be (-4)/6 + (-2)/(-3). Suppose -3*z = 4*m - 2*m + 23, 2*z - 2*m + 12 = y. Let g(i) = -i**3 - 7*i**2 - i - 3. What is g(z)? 4 Let k(c) = -c**2 + c - 7. Let x(w) = -15*w**3 + w**2. Let h be x(-1). Suppose -7*l + h = -5*l. Suppose 3*j = l*j. Give k(j). -7 Let n = 143 + -148. Let w(h) = 2*h + 19. What is w(n)? 9 Let y(o) = -2*o + 28*o**3 + 2 - 7*o**3 - 1 - 11*o**3 - 9*o**3. Calculate y(1). 0 Suppose -5*y + 416 = -4*n, y = -3*n + 37 + 31. Let w be (20/y)/(1/4). Let r(d) = -28*d**3 + 1. Give r(w). -27 Let o(v) = 3*v**3 + 6*v**2 - 4*v - 13. Let p be o(-2). Let n(x) = -2*x + 1. Calculate n(p). 11 Let s = 44 - 42. Let b(i) = -i**3 - 1 - 2*i - 5*i**2 - 3*i**s + 0. Give b(-8). 15 Let q = 6 + -13. Let l(r) be the second derivative of r**4/12 + 7*r**3/6 - 4*r**2 + 269*r. Calculate l(q). -8 Let k = 372 - 376. Let y(d) = -d**3 - 5*d**2 - 3*d - 5. Determine y(k). -9 Let z(b) = 2*b**2 + 2*b + 3. Suppose 0*w + 45 = -n - 4*w, -3*n + 4*w = 87. Let l = n - -31. Determine z(l). 7 Let m(p) = p**2 + 2*p - 4. Suppose -21 = -150*t + 143*t. Calculate m(t). 11 Let g = 15 - 18. Let a = 5 + -6. Let u(i) = i. Let f(x) = -5*x + 1. Let o(c) = a*f(c) - 3*u(c). Determine o(g). -7 Let m(o) = 3*o**2 - 6*o - 4. Let d be m(3). Suppose d*j - 30 = 3*p, -8 = -5*j + 4*p + 22. Let k(z) = -2*z + 4. Give k(j). -8 Let t be (-3 - -2)*(-7 - (-12 - -3)). Let q(u) = -2*u**2 - 1. Determine q(t). -9 Let h(a) = 32*a + 63. Let d(z) = -75*z - 125. Let l(i) = 3*d(i) + 7*h(i). Give l(0). 66 Let k(v) = -v**3 - v**2 - 2*v - 3. Let y be k(-2). Let a(x) = -2*x**2 + 5*x**2 - 5*x + 5*x + 5 + 6*x - x**3. Calculate a(y). -15 Let r(q) be the third derivative of 13*q**5/60 - q**4/24 - q**3/6 + 9*q**2 - q. Let w be ((-7 - -2) + 4)*1. What is r(w)? 13 Let b(c) = -c**3 - c**2 + 4*c + 3. Suppose 5*m = -6 + 26. Suppose -3*h + 29 = -2*w + 2*h, 4*w - m*h = -28. Give b(w). -1 Let x(h) = 6*h**2 + 4*h - 7. Let r(v) = 17*v**2 + 11*v - 21. Let b(a) = -4*r(a) + 11*x(a). Calculate b(3). -11 Let a(w) = -2*w**2 - 2*w + 1. Let c(l) = l**2 + l. Let b(v) = 3*a(v) + 4*c(v). Let u = 4 - 4. Suppose -5 = -y - 4*i, u = -3*y + 2*i + i - 15. Calculate b(y). -9 Let h(o) = 10 - 249*o + 120*o + 126*o. Give h(11). -23 Let m(n) = 9*n - 29. Let x(k) = 4*k - 14. Let a(s) = 3*m(s) - 7*x(s). Suppose -28 = -13*l + 37. Calculate a(l). 6 Suppose -q = -r + 12, 9*q - 6*q + 24 = 2*r. Let t(m) = -4*m**2 - r*m - 1 + 20*m - 9*m. Calculate t(-1). -4 Let y(r) = 2*r**2 + 15*r + 3. Let w be y(-9). Let z(a) = w*a**3 + 4*a**2 + 4*a - 31*a**3 - 6 - a**2. Give z(4). -6 Let s = 17 - 9. Let t(n) = -n**3 + 7*n**2 + 4*n + 7. Determine t(s). -25 Let p be -14*(-6)/(-12) - -10. Let j(c) = -c**3 + 5*c**2 - 3*c - 2. Determine j(p). 7 Let o be 40/24 - (-1)/3. Let t(z) = o - z**3 + 1 + 109*z**2 - 106*z**2 + 5*z. Suppose 2*a - 3 = 5. What is t(a)? 7 Let g(s) be the first derivative of s**4/4 + 10*s**3/3 + 5*s**2 + 9*s - 8. Give g(-9). 0 Let n(l) = -52 + 88 - 3*l - 53. What is n(-6)? 1 Let g(b) = -4*b**3 - 2*b**2 + b. Let t be g(1). Let q(a) = 5*a - 14. Let v(h) = -9*h + 26. Let k(i) = -11*q(i) - 6*v(i). Determine k(t). 3 Suppose -216*a + 210*a = 18. Let k(x) = -3*x - 5. Determine k(a). 4 Suppose 4*j - 3*m = -0*j + 12, -3*j + 3*m = -6. Let o(c) = c**2 - 3*c + 2. Let v(x) = -2*x**2 + 7*x - 5. Let y(u) = -5*o(u) - 3*v(u). Determine y(j). 5 Let u be 8*(-10)/(-60)*12/2. Let k(
{ "pile_set_name": "DM Mathematics" }
Let d = -8.02 + 8.12. Which is the nearest to d? (a) 1 (b) y (c) w b Suppose 4*j - 5 = 3*q + 5*j, 4*q + 4*j = -4. Let t = -10 + 86. Let d = -76.5 + t. What is the nearest to 1 in q, 2/5, d? 2/5 Let p be (6 + 6)/6 - 5 - -6. Let t = -0.3 - 0.7. Which is the closest to t? (a) -0.3 (b) p (c) -4/7 c Let n = 29 + -17. Let z = n + -13. What is the nearest to -2 in z, -5, 2? z Let p = 964/3 + -321. Which is the closest to 0? (a) 0.4 (b) 5 (c) p c Let m = 2 - 0. Let z(l) = l**2 - 9*l + 16. Let h be z(7). Which is the closest to m? (a) -1 (b) -3/7 (c) h c Let a = 71 - 70.62. Let n = -0.48 + a. What is the closest to n in -4, 3/2, 5? 3/2 Let w = -32 + 16. Let g = 411 + -392. Let r = w + g. Which is the nearest to -0.3? (a) -0.2 (b) 4 (c) r a Let q = 4/191 - -346/1719. Which is the nearest to 4? (a) -6 (b) -0.2 (c) -0.3 (d) q d Let k = 4.92 + -5. Let v = -2078 + 2078. Which is the closest to -1/4? (a) v (b) k (c) -0.3 c Let p = 7479 + -7480. Let g = -0.46 - -0.06. What is the closest to 7 in p, g, 3? 3 Let o = 11.3 + -11. Let v(w) = 13 + 4 - 6 + 4*w - 2*w. Let m be v(-6). What is the nearest to 0.2 in o, 1/4, m? 1/4 Let b = -21.34 - -21.34. What is the nearest to 19 in -0.4, 0.1, b, 4? 4 Let u = 830 - 834. What is the nearest to 0.04 in 1/2, u, 5, -1/3? -1/3 Let n = -29 - -28. Let l = 0.74 + -0.34. Which is the closest to 2/5? (a) n (b) 1 (c) l c Let k = -0.487 + -28.513. Which is the nearest to k? (a) -0.1 (b) 2 (c) -1/4 c Let x(z) = -z**2 + 5*z - 5. Let q be x(1). Which is the closest to 1/9? (a) q (b) -2 (c) 0.071 c Let y be 2*2/4*-1. Let t = -12.09 + 12.29. Which is the nearest to t? (a) -0.5 (b) -3 (c) y a Suppose 20 = -4*t + r, 2*t + 6*r - 3*r = 4. Let g = -1 - 1. Which is the closest to t? (a) g (b) 5 (c) -4 c Let x = -55 - -49. Let y(p) = p**3 + 6*p**2 + 2*p + 12. Let g be y(x). Which is the nearest to 0.07? (a) g (b) -0.4 (c) 2 a Suppose 3*u + 5*z + 6 = -0, 4 = -2*u + 3*z. Suppose 0 = -55*p + 56*p - 3. Suppose p*o = -3 - 3. Which is the nearest to o? (a) u (b) 0.2 (c) -0.2 a Let v(n) = n**3 - 3*n**2 - 5*n + 3. Let x be v(4). Let z = -1.53 - -2.03. Which is the nearest to 0? (a) z (b) x (c) -3/5 a Let d = 15.5 - 15. What is the nearest to 9 in 2/9, d, -2? d Let o be (17 - 10) + (-30)/4. Which is the closest to o? (a) -12 (b) 2 (c) -2/9 (d) 5 c Let o = -0.128 + -0.272. What is the nearest to -1/2 in 5, o, 50? o Let k = -0.12 + -0.18. Let j be 10/3*33/165. What is the closest to j in k, 0.2, 0? 0.2 Let x = -12.9 + 16.9. Let q = 1.1 + -1. Which is the closest to q? (a) x (b) 2/11 (c) -3/8 b Let v = 2 - 6. Let c = v + 6. Let b = -79515 + 79514. What is the nearest to c in -5, 1/4, b? 1/4 Let y be ((-70)/(-70))/((-5)/3). Let w = -233 + 1634/7. What is the nearest to -0.3 in w, y, 3/10? y Let k = 0.4 - -2.6. Let x be 5 - (-11)/11 - 8. Let g = 0.2 + -0.6. What is the nearest to 2 in g, x, k? k Let y be (-4 + 8)*1/(-10). Let w = 220.7 + -220.3. What is the closest to y in -0.3, w, -2? -0.3 Let q = 0.2 + -0.2. Let s = -1109 - -1107. Which is the nearest to 2/5? (a) 3 (b) s (c) q c Let w = 17.5 + -13.5. Which is the nearest to 54? (a) w (b) 3/5 (c) 0.3 a Let w be (4*(4 + -2))/1. Suppose 0 = -4*b + w, -4*b + 0*b = 4*g + 16. What is the closest to g in -3, 2, -1/6? -3 Let n be (-6 - (10 - 6)) + 0. What is the nearest to -1 in 5, -0.3, -5, n? -0.3 Let y = 200 + -200. What is the nearest to -5/4 in y, -3, 16, 0.3? y Let p be -1*(2 - 1) - -3. Let x be ((-4)/110)/((-27)/(-1890)*-14). Which is the nearest to 0.1? (a) p (b) -1 (c) x c Let z be (-27)/(-12)*1/3. Which is the closest to -0.3? (a) -3 (b) -0.1 (c) -5 (d) z b Let j = 0.1 - 0.2. Let u = -205/104 - -17/8. Which is the nearest to 0.6? (a) j (b) u (c) -2/5 b Let v be 16/((-2448)/45)*(-2)/5. Let f be ((-1)/(-4))/((-6)/8). What is the nearest to f in -0.4, 5, v? -0.4 Let z = -2 + 2.5. Let v = 3.86 - 0.26. Let o = v - 8.6. What is the closest to o in z, 0.4, -2/11? -2/11 Let l = 2 + -1. Let n = -124 - -124.2. Which is the nearest to n? (a) l (b) -1 (c) 4 a Suppose -5*l + 4*r - 6 = 0, l + 3*r + 5 = -0*r. What is the nearest to l in -2, -2/17, -2/37, 2/5? -2 Let b = -0.5 + 1. Let g = 0.1 - b. What is the closest to g in -0.4, 1/3, -2? -0.4 Let y be 4*2/12 + (-475)/(-75). Which is the nearest to 7? (a) -1/12 (b) y (c) 0.1 b Let a = 0.65 + -4.85. Let v = a + 4.3. What is the closest to -2/11 in 0, 2, v? 0 Let i = -171/2 + 84. Let j = -67 + 64. Let l = 33.4 + -33. What is the closest to i in j, -2, l? -2 Suppose -2*k + 22 = -2*y, 7*y - 2*y + 3*k + 15 = 0. Which is the closest to -2/13? (a) y (b) 2 (c) 0 c Let k = -19 + 19. Let r be (-250)/1012 + 26/143. Let n = -29/92 - r. Which is the nearest to -0.1? (a) n (b) -2 (c) k c Let j be (4 - 301/70)*8/(-6). Let w = -67/112 + 5/16. Which is the nearest to w? (a) 0.5 (b) -3/4 (c) j b Let x = -0.1439 - -0.0439. What is the closest to -0.2 in -5, x, -7? x Let l = 0.46 + -0.06. Let u = l + 0. What is the nearest to u in -2, -2/7, -3? -2/7 Suppose -2*g + 3*g - 3*h = 14, 8 = -4*h. Let p(x) = 3 - x**2 - 3*x + 10*x + 7 - 1. Let b be p(g). What is the closest to b in 5, -0.03, 0? 0 Let x = -248.3 + 248. What is the closest to x in -1/2, -4, -1? -1/2 Let n = -0.9 - 0.4. Let d = n + 1. What is the closest to 0.1 in -0.1, -1/4, d? -0.1 Let n = -14.3 - -14. Let l = 5 - 2. Let d be 47/(-52) - l/(-4). Which is the closest to n? (a) 1/11 (b) d (c) -3/5 b Let f = 4 - -4. Let i = -3 + f. Which is the nearest to 1/3? (a) 0 (b) -4 (c) i a Let q = 40.1 + -39.9. Which is the closest to q? (a) -1/4 (b) -0.33 (c) -0.1 c Let w = 4.2 + -0.6. Let s = w + 1.4. What is the nearest to -0.1 in s, -5/2, -5? -5/2 Let u = 1470 - 1470.3. What is the nearest to 0.1 in u, -1/5, 5, -3/7? -1/5 Let q be 6/8*392/(-147). Let z = 472484 + -267898340/567. Let g = 1/81 - z. Which is the closest to 2? (a) q (b) g (c) 1 c Let o(y) = y**2 - 6*y - 4. Let j be o(7). Suppose -5*t + 8 = 3*l, -j*l = t + 2*l + 16. Which is the nearest to 2? (a) t (b) 5 (c) -0.3 a Let w = -2.67 - -2.37. Which is the closest to w? (a) 2/5 (b) -4 (c) -1/5 c Let o be (5 + -14)/(-36)*0. What is the nearest to 6/13 in o, -0.1, -0.4? o Let m = 0.2 + -0.16. Let a = 4.6 - 3.6. What is the closest to 0.2 in m, a, 3/7? m Let w = 64 + -63.1. Let z be (-54)/170 + (-5)/(-25). Which is the closest to 0? (a) z (b) 3/4 (c) w a Let h = 15 + -14.983. Let r = 0.983 + h. What is the closest to -2 in 0.03, r, -0.5? -0.5 Let f = -34.15 - -10. Let h = f - -24. What is the closest to h in -5, -1, -3? -1 Let l = 24.06 - 24. Let n = l + 0.14. What is the nearest to -1 in 4, -3, n? n Let m = -24 + 3. Let s be (-57)/m + -3 - 0. Which is the closest to s? (a) 3 (b) -0.4 (c) 5 b Let y = 111.7 + -111.4. What is the closest to -4/5 in 1/5, y, 0? 0 Let h be (-12)/(-18) + (-10)/(-12). Let i = -814 - -7324/9. What is the closest to -1 in h, 0.4, i? i Let v(q) be the second derivative of -q**3/6 - q. Let j be v(-5). Let d = j + -4. Which is the nearest to 0.2? (a) -4 (b) d (c) 0 c Let k = 15 + -50. Let t be 28/k*15/(-6). Let x = 331/3 + -109. Which is the nearest to -2/7? (a) -3 (b) t (c) x c Let p = 4/207 + 65/207. Which is the nearest to p? (a) -3/4 (b) 0.4 (c) 1/8 b Let q = -120 - -119.7. Let m = -2.2 + 2. What is the closest to m in q, -5/6, 0.4? q Let l = 36/6359 + -392147/750362. Let f be (-1 - (-2)/(-2))/(6 + -124). Let r = l + f. Which is the closest to r? (a) -3 (b) -5 (c) 1/4 c Let t = -1.19 + 1.29. Which is the nearest to t? (a) -80 (b) -1 (c) -3 b Let j = 31 - 30. Suppose 4*w - 3*s - 7 = 0, 4*w + j = -2*s + 3. Which is the closest to -0.01? (a) -2/9 (b) w (c) 0.4 a Let n = 7.37 + -7.27. What is the nearest to n in -0.3, -0.1, -7? -0.1 Suppose 3*r + 4 = 4*r. Let x(v) = -v**2 - 8. Let l be x(8). Let z be 3/(-5) + (l/20 - -4). Which is the closest to 2/5? (a) z (b) 0.3 (c) r b Suppose 0 = -1181*j + 1187*j - 48. Which is the closest to -0.2? (a) -5 (b) j (c) -2/5 c Let y = 9/56 - -4511/504. Which is the closest to -2/5? (a) 4 (b) y (c) 5 a Let p = -0.24 - 0.06. Let n = 30 + -29.7. Let g = n + p. What is the closest to g in -3, -1, 0.3? 0.3 Let j = 1119 - 1118. Let m = 6 + -4. What is the nearest to 3 in m, j, 1/4? m Let h = 0.14 + -
{ "pile_set_name": "DM Mathematics" }
- 8*t + 5*v + 54 = 0, 2*t + 5*v = 61. What is the remainder when 87 is divided by t? 18 Suppose n + 17 = 2*y + 2, 0 = -4*y + 4*n + 36. Let w be (-72)/(-16)*(-8)/y. Calculate the remainder when 9 is divided by (-30)/(-4)*(-4)/w. 4 Let a(d) = -d**3 + 6*d**2 + 4*d - 3. Let z be a(5). Suppose -2*g - g - 6 = 0. Let u = g + z. Calculate the remainder when u is divided by 14. 12 Let y = 4 - 3. Let z(q) = 24*q**3 + q**2 - q + 1. Let b be z(y). Let x = b - 15. What is the remainder when 28 is divided by x? 8 Suppose 0 = -5*x + 3*v + 25, 5*x + v - 15 = 10. Suppose -x*k - 13 = -98. What is the remainder when 32 is divided by k? 15 Let m be (2/2)/(10 - 9). Calculate the remainder when 22 is divided by (-1)/(4/(-32)*m). 6 Suppose 3*w - 39 = -0*w. Calculate the remainder when w is divided by 10. 3 Suppose -9 = -v + 5*p, 0 = -0*p + 5*p - 15. What is the remainder when v is divided by 16? 8 Suppose -2*x - 5 = -3*w, -3*x + 3*w = -2*x + 7. Suppose -x*p + 3*z = -332, 0*z + 5*z - 10 = 0. Let m = p - 118. Calculate the remainder when m is divided by 18. 15 Let p(w) = 4*w**2 - 12*w + 1. Calculate the remainder when 30 is divided by p(4). 13 Let h(t) = -t**3 + 6*t**2 + t - 7. Let c be h(5). What is the remainder when 1*(c + -2 + 0) is divided by 11? 10 Let k be 2/(-6) + 8/6. Suppose 0*p = -p + k, -3*z = 3*p - 54. What is the remainder when 30 is divided by z? 13 Suppose 2*d + 1 = 15. Suppose -8*v + 14 = -d*v. What is the remainder when 54 is divided by v? 12 Let w = -2 - 0. Calculate the remainder when 7 is divided by 3 + 0 + w/(-2). 3 Let b = 3 - 2. Suppose -4*t + 2*t = 8. Let f = t - -6. What is the remainder when f is divided by b? 0 Suppose -o + 3*x = -2*o + 12, 0 = 3*x - 6. Suppose j - 3*v = 29, -2*j + 0*j = 2*v - 26. Calculate the remainder when j is divided by o. 5 Suppose -35 = -z + v, 6*v - 45 = -z + 2*v. Let o = 65 - z. What is the remainder when o is divided by 10? 8 Suppose -2*s = 2*s - 5*g - 149, 3*g + 75 = 2*s. Let t = s + -26. Calculate the remainder when t is divided by 4. 2 Let l(s) = -s**2 + 6*s + 2. Calculate the remainder when 26 is divided by l(5). 5 Suppose 2*j + 2*g - 69 = -3*g, 0 = -3*j - 2*g + 98. What is the remainder when 90 is divided by j? 26 Suppose -2*v + 13 = -25. What is the remainder when 32 is divided by v? 13 Calculate the remainder when (-80)/(-16) + 1 + 108 is divided by 29. 27 Suppose -j + 50 = j. Suppose 13 = 2*f - f. Calculate the remainder when j is divided by f. 12 Suppose 0 = 5*t + l - 12, l - 4*l + 8 = t. Suppose -3*z + m = 23, -5*z - 2*m = t*m + 10. What is the remainder when 29 is divided by (-62)/(-4) - (-3)/z? 14 Let k = 8 + 5. Calculate the remainder when k is divided by 3. 1 Let f(s) = s**3 - 3*s**2 - 4*s - 4. Suppose 0 = 2*l - 26 + 8. What is the remainder when f(5) is divided by l? 8 Let m be (-117)/5 - (-12)/30. Let g = m - -35. What is the remainder when 33 is divided by g? 9 Let o = 6 + 2. What is the remainder when 20 is divided by o? 4 Let c be -10 - 2/(-3 + 4). Suppose -o + 44 = -3*o. Let q = c - o. Calculate the remainder when 29 is divided by q. 9 Let s(j) = 23*j**3 - 2*j**2 - 4*j - 2. Let d be s(-2). Let z be d/(-24) - (-1)/4. Let o = 13 - z. Calculate the remainder when 12 is divided by o. 2 Let o = -66 - -74. Suppose 5*b = 29 + 41. Calculate the remainder when b is divided by o. 6 Suppose 5*v = -n - 4*n + 50, n + 30 = 4*v. Let y = -38 + 67. What is the remainder when y is divided by v? 5 What is the remainder when (-3983)/(-49) + (-4)/14 is divided by 28? 25 Suppose 3*i - 53 = 82. Calculate the remainder when 177 is divided by i. 42 Let q(l) = l + 9. Let j be q(9). What is the remainder when (j/24)/((-1)/(-24)) is divided by 4? 2 Suppose -2*m + 19 + 1 = -4*b, -2*b = -4*m + 16. Suppose 0 = m*h - 4*x - 22, -3*h = 2*h - 5*x - 45. What is the remainder when 12 is divided by h? 5 Suppose 2*o - 5*o + n = -142, -225 = -5*o + 4*n. Calculate the remainder when o is divided by 25. 24 Let m = 11 - 8. Suppose -4*x + 23 - m = 0. Suppose w + 90 = 5*f, 90 = 5*f - x*w + w. Calculate the remainder when 35 is divided by f. 17 Let n(c) = -c + 8. What is the remainder when n(6) is divided by (2 - -1)*4/12? 0 Suppose 0 = -j + 6*j. What is the remainder when 61 is divided by (-63)/(-3) + j/(-2)? 19 Suppose -k = -22 - 8. Let t(l) = l**2 - 6*l - 11. Suppose -26 = -2*y - 4*n, -4*y - 4*n + 61 = 17. What is the remainder when k is divided by t(y)? 14 Let p(t) = -t + 5. Let q be p(9). Suppose 6*l - l + 25 = 0, 0 = a - 5*l - 28. What is the remainder when a is divided by 6/q*(-12)/9? 1 Let o = 38 + -4. Calculate the remainder when 168 is divided by o. 32 Suppose 6*p = -127 + 613. Calculate the remainder when p is divided by 42. 39 Let v be (-1 + 1/3)*-6. Let s = v + -2. What is the remainder when 2 is divided by s? 0 Let u(c) = -31*c**3 + 3*c + 3. Calculate the remainder when 56 is divided by u(-1). 25 Let a = 62 + -39. Let b(x) = 2*x**2 + 13*x + 18. What is the remainder when a is divided by b(-6)? 11 Suppose v - 155 = -4*v. Suppose -2*y - v = -3*y. Suppose -r = -2*r + 11. Calculate the remainder when y is divided by r. 9 Suppose 5*h - 15 = 5. Let s be (h + -3)/(2/24). Calculate the remainder when 1/3 + 272/s is divided by 8. 7 Calculate the remainder when 17 is divided by (6/(-8))/(((-55)/(-60))/(-11)). 8 Suppose -5*v + v + 68 = 0. Suppose 0 = -k + 3*q - 2*q + 31, 2*k - 48 = -5*q. Let y = k - 20. Calculate the remainder when v is divided by y. 8 Suppose -65 = -4*q + m, 3*m + 5 = -2*m. Suppose -d - d = -4*k - 36, d - k = q. Calculate the remainder when d is divided by 8. 6 Suppose 0 = 3*i + 2*i - 190. Let h = -21 + i. Calculate the remainder when h is divided by (225/(-125))/(1/(-5)). 8 Let l(v) = -v - 1. Suppose 0 = 5*w - 46 - 44. What is the remainder when w is divided by l(-6)? 3 Let n = -46 + 82. Calculate the remainder when n is divided by 13. 10 Let f(t) = -t**3 - 7*t**2 + 4*t. Let z be -15 - -6 - (-1 - 0). What is the remainder when f(z) is divided by 9? 5 Suppose -2*a = 2, -4*d + 32 = -2*a - 70. Calculate the remainder when d is divided by ((-18)/8)/((-2)/8). 7 Suppose 4*n - 4*d = 96, 2*n + 3*n - 116 = 3*d. Suppose -5 = -5*a + 2*v, -v = -4*a - 2 + 9. Let w = 5 + a. What is the remainder when n is divided by w? 6 Let p(m) = m**2 + 3*m + 6. Let v be 1 + 5 - (2 + 0). Suppose v*q = -q - 25. What is the remainder when 30 is divided by p(q)? 14 Suppose 5*n + 10 = -0*n. Let w = n - -4. What is the remainder when (2/(-3))/((-6)/45) is divided by w? 1 Let s be 850/8 - 3/12. What is the remainder when s/6 + (-3)/(-9) is divided by 10? 8 Calculate the remainder when -50*(10/(-4) + (-18)/(-9)) is divided by 7. 4 Let k = -14 + 30. Let v(i) = -i + 13. What is the remainder when k is divided by v(7)? 4 Let t(q) = q**2 + 4*q - 2. Let y be t(-5). Suppose -y*u = -u - 20. Suppose 4*o + 2*i = 22, -4*i - 6 = -4*o - 2. What is the remainder when u is divided by o? 2 Suppose b + 2*b - 57 = 0. Calculate the remainder when 35 is divided by b. 16 Suppose -16*x = 442 - 3322. What is the remainder when x is divided by 26? 24 Let r(l) = l**3 - l**2 - 6. Let j be r(0). Let o = j + 8. Suppose -o*u + 3*p = 0, 1 + 4 = -u + 4*p. What is the remainder when u is divided by 2? 1 Let f = -7 - -48. Let k be (70 - 0 - 1) + 0. Let w = k - 48. Calculate the remainder when f is divided by w. 20 Suppose q = -3*q - 12. What is the remainder when 84 is divided by (-4)/(12/q) + 28? 26 Let v be (-60)/8*4/(-6). Suppose v*a - 22 = -5*c + 88, -4*c = 3*a - 61. Let n = 48 - a. What is the remainder when 40 is divided by n? 19 Suppose 0 = -3*b + 2*y + 42, 2*b - 5*y = -3*b + 75. Let f = b - 18. Calculate the remainder when 21 + f/(-3 + 1) is divided by 9. 6 Suppose 94 = 6*n + 16. Calculate the remainder when 63 is divided by n. 11 Let m(q) = q**2 + 3*q - 6. Let x be m(-10). Suppose 4*t - 4*i = x + 28, 41 = 2*t - i. Calculate the remainder when 52 is divided by t. 16 Let x = -66 + 135. Calculate the remainder when x is divided by 18. 15 Suppose -4*s = -2*w - 62, 5*s - 50 = s - 2*w. What is the remainder when 53 is divided by s? 11 Let l be (-2*(-37)/(-1))/(-2). Suppose -t - 3*w = -l, -6*t - 2*w + 158 = -2*t. What is the remainder when t is divided by 14? 12 What is the remainder when 101 is divided by (-78)/(-5) + 1 - 94/(-235)? 16 Suppose 0*p = 2*p - 18. Suppose -p + 39
{ "pile_set_name": "DM Mathematics" }
12 = -5*f, 4*c + f = 25. Solve c = -l + v for l. 5 Let k = -219 + 256. Solve 0 = 9*s + 19 - k for s. 2 Suppose -7*j + 36 = 1. Suppose -6*m + j*m + 6 = 0. Solve -4*f + f = m for f. -2 Let c = 8 - 4. Suppose f - 7 = -5*h + 18, 0 = 5*f + 5*h - 25. Solve f*b = -c*b for b. 0 Suppose -2 + 44 = 5*j + 4*w, -5*w = 3*j - 33. Let d = j + -4. Let a(n) = n**2 - 26*n + 72. Let h be a(23). Solve 20 = d*m + h*m for m. 4 Let x = -294 + 297. Let b(w) = -2*w**3 - w**2 - w. Let y be b(-2). Solve -y = x*z - 2 for z. -4 Suppose r + 2*o = -0 - 2, 5*r + 5*o + 15 = 0. Let s(t) = -3*t - 6 + 0*t - 2. Let v be s(r). Solve x - 3*x - v = 0 for x. -2 Let c = 11 + -9. Suppose g + 4*g = c*v - 57, 3*v + 2*g = 38. Let j be (1 - (-10)/(-15))*0. Solve -m + 5*m + v = j for m. -4 Let z(p) = 62*p - 553. Let k be z(9). Solve k*f + 30 = -f for f. -5 Let j = -279 - -304. Solve 2*m = -3*m + j for m. 5 Let t be 32/5 - (-4)/(-10). Let g(x) = 2*x**3 - 5*x**2 + 11. Let a be g(3). Solve -u = -t*u + a for u. 4 Let i(b) = 13*b**2 + 10*b + 6. Let p be i(-1). Solve p*t = 7*t - 2 for t. -1 Suppose 5*q + t = 2*t + 4, 3*t = -12. Suppose 0 = -73*p - 4*p + 847. Suppose p*x - 10*x = q. Solve x = -4*s + 3 - 15 for s. -3 Let h(i) = -i**2 - 18*i - 16. Let b be h(-16). Suppose 0 = 2*j - g + 4, -2*j = 2*g - 6*g + b. Solve -5*k + j*k + 25 = 0 for k. 5 Let n(x) = -x**3 - 10*x**2 + 22*x - 20. Let y be n(-12). Solve 3*p - 5*p + y = 0 for p. 2 Suppose 6*s - 36 = -12. Solve 0 = 9*q - 7*q - s for q. 2 Suppose 21*j - 148 + 22 = 0. Let d = 1 - -17. Suppose -j*q + 5 = -q + o, -4*q + d = -2*o. Solve -q*a = 2*a for a. 0 Let c be 1*16 + 0/26. Solve g = -7*g + c for g. 2 Suppose -6*m = -14*m + 96. Solve -f + 5*f = -m for f. -3 Let r(a) = 11*a**2 - 5*a - 4. Let d be r(-1). Solve -d*y = -11*y + 5 for y. -5 Let w(v) = -v**2 + 42*v + 3*v**2 - 14 - 22*v. Let q be w(-11). Solve -4*s + 0 = -q for s. 2 Let d(y) = -6*y - 121. Let v be d(-21). Solve -v*j + 4 = -11 for j. 3 Let n be 2 - (-1 + -6)/7. Solve n*v = 12*v for v. 0 Let a(l) = 12*l + 555. Let g be a(-46). Solve 6*x - 9 = -g*x for x. 1 Let m(r) = 2*r - 4. Let b be m(4). Let d be (-1 + -1)*(-3325)/266. Solve -t = b*t + d for t. -5 Suppose -538*i = -546*i + 520. Solve 2*w + 69 = i for w. -2 Suppose -h + 10 = -2*j, -4*h - 4*j + 21 + 31 = 0. Solve 31 = -h*s - 17 for s. -4 Let r = 3 - 4. Let q = -134 + 131. Let u = r - q. Solve u*m = -3*m for m. 0 Let g be (-45)/(-15)*(-16)/(-12). Solve i - g*i + 12 = 0 for i. 4 Let z be (-2 - 4/(-5))/((-24)/160). Let w(u) = -u**3 + 8*u**2 + 3. Let v be w(z). Solve 2 + 1 = v*g for g. 1 Let v = 44 - 30. Let l be (24/v)/((-4)/(-28)). Let x be 30/4*l/18. Solve -u + x = -0*u for u. 5 Let c(m) = 10*m**2 + m + 3. Let x be c(-1). Solve 12*u - 9*u = x for u. 4 Suppose 566 + 2362 = 24*g. Solve 0 = 3*x + 113 - g for x. 3 Suppose q + 3*h - 9 = 5*h, 2*h + 3 = -q. Suppose 2*v = q*v - 8. Suppose i + i = v. Solve -3*x = -8 - i for x. 4 Suppose -4*x = 3*b - 17, 2*x - 14*b + 11*b - 13 = 0. Suppose 25 = x*d + 5. Solve 4*t + 0*t - d = 0 for t. 1 Let r = -33 + 45. Solve 6*m = -0*m - r for m. -2 Let c = 71 - 51. Let o = c + -18. Suppose 0 = 3*r + 4*w - 1, 0*r = 5*r - 2*w - 19. Solve 0 = r*y + 10 + o for y. -4 Let s(u) = 8*u + 12. Let o be s(3). Suppose -8*f = -2*f - o. Solve 0 + f = 3*d for d. 2 Suppose -20 = -4*s - 5*j, 3*s - 5*j = 38 + 12. Let d = s + -2. Suppose 0 = -4*k + 3*i + 16, i - d = 2*k - 4*k. Solve -k*y = 18 + 2 for y. -5 Let r = -251 - -257. Solve -8*v - r = 10 for v. -2 Suppose 0 = -261*g + 253*g + 80. Let o = 4 + -2. Solve -o*w = -7*w + g for w. 2 Let x be (-35)/(-10) - 1/(-2). Suppose y - 3*q - 22 = -6, x*y = -4*q + 32. Solve -3*c + y = -5*c for c. -5 Suppose 7*z - 96 = 58. Solve -z - 3 = 5*r for r. -5 Let z be (-4)/(-22) - 80/(-44). Suppose 3*n = z*m + 1, 2*m - n + 5*n = 20. Suppose 0 = 5*a + b - 15, 2*a - 5 = -b - 2. Solve 0 = 2*g - a*g + m for g. 2 Let f = -9 + 15. Let m be (-2)/(-3) - ((-8)/f + 2). Solve t + 0 + 3 = m for t. -3 Let g(z) = z**2 - 7*z + 8. Let k be g(6). Suppose -k*b + 4*b + 2*o - 10 = 0, 5*b + o - 21 = 0. Let m(c) = c**2 - c - 2. Let q be m(-3). Solve q = l + b*l for l. 2 Let h(y) = -y + 15. Let w be h(5). Suppose 0 = w*j - 14*j. Solve -3*x + x + 6 = j for x. 3 Suppose 4*k - 55 = -3*h, -8*h - k + 69 = -3*h. Suppose 0 = 11*p - h - 31. Solve -5*m + p - 19 = 0 for m. -3 Suppose -36 = -10*i + 154. Solve -i*n + 14*n = -5 for n. 1 Let l(m) = m + 15. Let p be l(-11). Solve -p = 3*r + 11 for r. -5 Let u(a) = a**2 + 6*a + 11. Let w be u(-4). Solve x - 2 - w = 0 for x. 5 Let n(c) = 3*c. Let s be n(0). Let j(y) = y**2 + 7*y + 4. Let m be j(-7). Solve -m*a = 4 - s for a. -1 Suppose -4*y + 2*b + 26 = 0, y - 3 + 1 = 2*b. Solve h - y = -h for h. 4 Let m(z) = 3 + 31*z + 25 - z**2 - 20*z. Let i be m(13). Suppose 9 = -3*q + 24. Solve -8 - i = q*s for s. -2 Suppose -15 = -5*y, -3*d - 39 = 3*y + 15. Let w = d + 26. Solve 0 = 2*s - w*s + 6 for s. 2 Suppose -r - w = -49, -4*r + 223 = -10*w + 5*w. Let b = -50 + r. Solve -b*d - 2 = -4*d for d. 1 Suppose -2*y = 6*p - p + 243, 0 = -4*p - 12. Let a be ((-3)/(-6))/((-3)/y). Suppose 3*g - 5*n = -a, 4*n = -g + 4*g + 14. Solve 0 = -g*q - 9 + 1 for q. -4 Suppose 258 = 69*i - 18. Solve -i*j = 140 - 152 for j. 3 Let s = -9 + 9. Suppose s = -5*g - g. Solve g + 3 = -3*o for o. -1 Suppose 4 = 13*w - 11*w, 0 = a + w - 4. Solve -p + 3 + a = 0 for p. 5 Let g(x) = x**3 + 6*x**2 + 4*x - 8. Let f be g(-4). Let d(y) = y - 6. Let o be d(f). Solve -o*j - 20 = 2*j for j. -5 Suppose -4*g + 18 = s - 2*s, 24 = 4*g + 2*s. Let j(z) = z**3 + 2*z**2 - z - 2. Let o be j(-2). Let k be o + 1 + 1 + (-3 - -4). Solve -g*y + 2 = -k for y. 1 Suppose 2*c = -c - 6*c. Solve c = -3*o + 23 - 20 for o. 1 Suppose 0 = 3*d + 3, -z + 3*d + 4 + 1 = 0. Let o = 5 - 10. Let j be (-12)/42 + o/(70/(-4)). Solve 2*g - z - 2 = j for g. 2 Suppose 3*u = -1 + 7. Suppose -5*y = 4*x - 8, -3*y - 4 = -2*x - u*y. Suppose -12 = -2*z - x, -z - 75 = -4*l. Solve l = -5*q - 0*q for q. -4 Let j(i) = -i + 2. Let d be j(-4). Let q(t) = -t**3 + 11*t**3 - 9*t**3 + 2 + 12*t - 8*t**2. Let x be q(d). Solve 5 = -x*k + 3 for k. -1 Let t(m) = m**3 + 2*m**2 - m. Let l be t(-2). Suppose 8*s - l = 7*s. Suppose -z + s*z = -3*j + 19, 2*z - 54 = 2*j. Solve -4*o = o - z for o. 5 Let y = 29138 + -29134. Let u = -4 + 6. Let v be u/(4/6) + 0. Solve 3*l - v = y*l for l. -3 Let x be (-1)/(21/46 - (-14)/(-28)). Solve 4*z = 31 - x for z. 2 Suppose -18 = -3*m - 3*o, o = m - 0*o - 2. Suppose 5*h = -2*a + 26, 5*a - 28 = a - m*h. Solve -i + a = -0*i for i. 3 Let q(k) = -16*k**2 - 46*k - 161. Let d(y) = 3*y**2 + 9*y + 32. Let l(u) = 11*d(u) + 2*q(u). Let a be l(-5). Solve a = -2*p + 7*p for p. 4 Suppose 0 = 2*z - 5*z + 4*g - 1, 0 = 2*z - 2*g. Suppose 0 = -3*y + 2*o + 21, 3*y = -0*y - 5*o + 21. Let i be 5 - (-3)/(-5 - -4). Solve i*s = -z - y for s. -4 Let s(y) = -7*y**2 + 12*y**2 - 12 - 4*y**2. Let c(f) = f. Let q(p) = -3*c(p) - s(p). Let r be q(-5). Solve a - 4 = -r for a. 2 Suppose 0 = 37*p - 275 + 16. Solve 27 = -10*t + p for t. -2 Let n(d) = -19*d + 805. Let p be n(42). Let u = 2 + -2. Suppose 0*i + 3*i - 9 = u. Solve 5 = -i*m - p for m. -4 Let g(t) = t**2 + 15*t + 3. Let f = 17 + -30. Let y = f + -2. Let i be g(y). Solve 0 = -i*b - 3 - 12 for b. -5 Let w be 4171/215 - 2/5. Solve 0 = -17*d + w*d - 6 for d. 3 Suppose 5*x - 3*j - 35 = 0, -9 + 38 = x - 5*j. Let w be (-2)/7 - 117/(-91). Let u be (4 - 1)/(w + 0). Solve -u - 9 = -x*g for g. 3 Suppose 2*b - z - 2 = -3*z, -3*b = -3*z - 9. Solve b*a = a - 3 for a. -3 Let m be 1*(-5)/(-3)*3. Suppose c = 3*y - y - 11, -y + m*c + 10 = 0. Let x be (-2)/(-3) - (-1)/3. Solve y = -4*s + x for s. -1 Let l(k) be the first derivative of -k**2/2 - 4*k - 3. Let q be l(-6). Let j(v) = 8*v. Let h be j(q). Solve -3*u - h = u for u. -4 Let o(b) = b**2 + 5*b + 4. Let m be o(-4). Let n(z) = -z**2 - 16*z + 20. Let x be n(-17). Solve m = x*u + u for u. 0 Let o = 4 - 2. Let y(b) = 2*b + 2. Let x be y(2). Solve v + o*v = -x for v. -2 Suppose -4*j + 11 = a - 0*a, -5*a - 29 = -j. Suppose 0 = -j*i - 52 + 96. Solve -i - 5 = -4*d for d. 4 Let f be (-2)/(-5) - 156/15. Let s(y) = -7*y + 6. Let p be s(-28). Let k be p/10 - (-2)/f. Solve -2*i - k = 3*i for i. -4 Suppose 0*a - 9 = 3*a. Let t = 31 + a. Suppose 3*o - t = -3*r + 4*r, 2*r - 54 = -5*o. Solve 0 = 4*p + o - 30 for p. 5 Let
{ "pile_set_name": "DM Mathematics" }
*x wrt v. -3*j - 12*u*x**2 + 26*v*x Differentiate -64*c**2*f*h**2 + c**2*h + 12*c*f**2*h + 312*h**2 with respect to f. -64*c**2*h**2 + 24*c*f*h What is the second derivative of -1232*a**2 - 3303*a - 1? -2464 Find the third derivative of 1081*t**5*u**2 + 2*t**5*u + 6*t**2*u**2 - 23*t**2*u wrt t. 64860*t**2*u**2 + 120*t**2*u What is the first derivative of -18*f**2*n**2 + 461*f**2 + 9*n**2 wrt n? -36*f**2*n + 18*n Find the second derivative of 2*j**2*q**3*r + 8*j**2*q*r + 15*j**2*r**2 + j*q**3*r + 2*j*q**2*r + 7*q**3*r**2 wrt r. 30*j**2 + 14*q**3 Find the second derivative of -223*f*r**2 + 6*f - 2*r - 1 wrt r. -446*f What is the first derivative of -343*j**2 - 29 wrt j? -686*j What is the second derivative of -4*m**3 - 54*m**2 + 39*m - 9? -24*m - 108 Find the third derivative of -112*a**3*u**3 + 3*a**3*u**2 - 3*a**3*u + 4*a**2*u**3 - a**2*u**2 - 24*a**2*u + a*u**3 wrt a. -672*u**3 + 18*u**2 - 18*u Find the second derivative of -4*k*n**4*q + 2*k*n**2 + k*n + 37*n*q wrt n. -48*k*n**2*q + 4*k What is the derivative of -5484*m - 10850 wrt m? -5484 What is the derivative of -132*f**3 - 99 wrt f? -396*f**2 What is the second derivative of -164*f**3 + 7*f - 81? -984*f What is the derivative of -4*c**2 + 249*c + 3733? -8*c + 249 What is the third derivative of -2*a*q**3*s**6 - 264*a*q**3*s**3 - a*q**3*s - 3*a*q**2 + q**3*s + 45*s**2 wrt s? -240*a*q**3*s**3 - 1584*a*q**3 What is the first derivative of -12655*b*u + 3888*u wrt b? -12655*u Differentiate 34*g*q**3 - 2*g*q + 1018*q**3 with respect to g. 34*q**3 - 2*q Differentiate -12*a**4*h - 8*a**2*h + 203*h wrt a. -48*a**3*h - 16*a*h What is the second derivative of -b**5*n**3 + 18*b**5 + b**2*n + b - 10*n**3 - 4*n**2 wrt b? -20*b**3*n**3 + 360*b**3 + 2*n Find the third derivative of g*m**5 + 11*g*m**4 - 2*g*m**2 - 11*g - m**5 - 4*m**2 wrt m. 60*g*m**2 + 264*g*m - 60*m**2 Find the third derivative of 26*d*l**2*m**3 + 65*d*l**2 - d*l*m**2*p + 8*d*m**3 + 3*l**2*m**3*p + 3*l**2*p - 3*m**2*p wrt m. 156*d*l**2 + 48*d + 18*l**2*p Differentiate 9*i**2*v**3 - 575*i**2*v**2 + 5*i**2 + 24*i + 4 wrt v. 27*i**2*v**2 - 1150*i**2*v Differentiate -2*z**4 - 989*z**3 - 7226 wrt z. -8*z**3 - 2967*z**2 What is the second derivative of -2*m**4*u + 359*m**4 + 3*m*u + 2*u - 32 wrt m? -24*m**2*u + 4308*m**2 What is the third derivative of 470*n**6 - 672*n**2 wrt n? 56400*n**3 Find the second derivative of 31*q**3 - 2*q**2 - 1189*q. 186*q - 4 What is the second derivative of 1025*l**3 - l**2*m + l*m + 328*l wrt l? 6150*l - 2*m Find the second derivative of -14119*b**5 + 42*b + 59 wrt b. -282380*b**3 Differentiate 52*v**2*x*z**3 + v**2*z**3 - 11*x*z**3 - 79*z with respect to x. 52*v**2*z**3 - 11*z**3 Find the first derivative of -15*p**3 + 5*p**2 + 39. -45*p**2 + 10*p Find the third derivative of -5*l**3*x**4 + 23*l**3*x**3 + 20*l**3*x**2 - 5*x**2 wrt x. -120*l**3*x + 138*l**3 What is the second derivative of -2*b**2*l + 2*b**2*t**3 - 2*b**2*t - 31*b*l*t**3 - 16*b*l*t**2 - 469*b*l wrt t? 12*b**2*t - 186*b*l*t - 32*b*l Differentiate k*l**2 - 2*k*l - 15*k + 2*l**2 - 2*l - 125 wrt l. 2*k*l - 2*k + 4*l - 2 What is the third derivative of -11*b*s**4 - 11*b*s**3 + b*s**2 - 10*b - 2*s**3 - 26*s**2 + 2 wrt s? -264*b*s - 66*b - 12 Find the third derivative of 1230*s**4 - 75*s**2 - 2*s + 5 wrt s. 29520*s Find the second derivative of p**5 + 102*p**3 + 2873*p. 20*p**3 + 612*p Find the third derivative of 99*m**4*v + m**3*v**3 + m**2*v**3 - 2*m**2*v + 141*m**2 wrt m. 2376*m*v + 6*v**3 Find the third derivative of -43*d**5*t + 2*d**5 + 8*d**2*t - 6*t wrt d. -2580*d**2*t + 120*d**2 What is the second derivative of -5*u**3*w**2*x + 26*u**3*w*x**2 - 10*u**3*x**2 - 8*u**2*w**2 - u*w*x + 10*w**2*x**2 - x**2 wrt w? -10*u**3*x - 16*u**2 + 20*x**2 What is the first derivative of -2*r**4 + 1757*r + 9546 wrt r? -8*r**3 + 1757 Differentiate 72*p**2 + 208. 144*p Differentiate -644*d - 2578 with respect to d. -644 Find the third derivative of 45*s**4*u**2 + s**4*u + s**4 - 2*s**2*u**2 - 232*s*u**2 + 1 wrt s. 1080*s*u**2 + 24*s*u + 24*s Find the second derivative of 160*s**3 - 7*s - 3 wrt s. 960*s Find the second derivative of -3*r**3 + 2148*r**2 + 11326*r. -18*r + 4296 What is the third derivative of x**3*z**3 + 668*x**3*z**2 + 67*z**3 wrt z? 6*x**3 + 402 Differentiate -401*d**2*m**2*r - 7341*d**2*m + d*m**2 + 5*m**2*r wrt r. -401*d**2*m**2 + 5*m**2 What is the second derivative of -c**5 - 5*c**2 + 183*c wrt c? -20*c**3 - 10 Differentiate 2*h**3*q*w - 255*h**3 - 561*h**2*q*w - 2*h*q*w + 5*h*w with respect to q. 2*h**3*w - 561*h**2*w - 2*h*w Find the third derivative of 1502*g*i**5 - g*i**4 + 3317*g*i**2 wrt i. 90120*g*i**2 - 24*g*i Find the third derivative of 757*k**3*x**3 - 64*k**2*x**2 + 8*k*x**3 wrt k. 4542*x**3 What is the third derivative of -237*m*v**4 + m*v**3 - 73*m*v - v**2 wrt v? -5688*m*v + 6*m Find the third derivative of c**2*f**3*s + 4*c**2*s + 11*c*f*s - 19*f**3*s + 2*f**2*s wrt f. 6*c**2*s - 114*s What is the first derivative of 2*n**3*r + 42*n**3 + 248*r wrt n? 6*n**2*r + 126*n**2 What is the second derivative of -r**5 - 11*r**4 - 12*r**2 - 11756*r wrt r? -20*r**3 - 132*r**2 - 24 Find the second derivative of -325*r**3 + 405*r wrt r. -1950*r Differentiate -57*u**3 + 2*u**2 - 1571 with respect to u. -171*u**2 + 4*u Find the first derivative of -797*q**2*z - 6*q**2 + 4*z + 423 wrt z. -797*q**2 + 4 What is the derivative of 18376*h**2 - 29492? 36752*h What is the first derivative of -6*b**3*g*o - 41*b**3*g + 30*b**3*o + 2*b*g - 3*g + 2*o wrt o? -6*b**3*g + 30*b**3 + 2 Find the second derivative of -2*t*u**4 + 2313*t*u**3 - t*u**2 - 2406*t*u wrt u. -24*t*u**2 + 13878*t*u - 2*t What is the second derivative of 5*d*w**3 - 9*d*w**2 + 2*d*w - 2*w**4 - 11*w + 1 wrt w? 30*d*w - 18*d - 24*w**2 What is the first derivative of 7947*s**2 - 19941 wrt s? 15894*s What is the third derivative of -2*s**6 + 4326*s**4 + s**3 + 4*s**2 - 3*s - 178 wrt s? -240*s**3 + 103824*s + 6 What is the second derivative of -8*c**4 - 33*c**2 - 676*c? -96*c**2 - 66 Find the second derivative of 131*i**4*m**2 - i**3*m**3 - 2*i + 9*m**3 - 1 wrt i. 1572*i**2*m**2 - 6*i*m**3 What is the first derivative of -3336*j**4 + 676 wrt j? -13344*j**3 Find the second derivative of -209*v**2 - v - 77. -418 What is the third derivative of -15661*s**6 + 15001*s**2? -1879320*s**3 Find the third derivative of 8*j*n**6 - 12*j*n**4 - 2*j - 7*n**2 wrt n. 960*j*n**3 - 288*j*n What is the second derivative of 5322*b**4 + b + 65 wrt b? 63864*b**2 What is the second derivative of 45*j**4 + j - 216? 540*j**2 What is the second derivative of -k**5*u - 10*k**5 + 2*k**3*u + 5*k*u + 28*k wrt k? -20*k**3*u - 200*k**3 + 12*k*u Find the second derivative of -2066*x**4 + 9461*x. -24792*x**2 What is the derivative of -2*l*u*w**2 + 2*l*w**2 + 67*u*w**3 - 7*w**3 + 10*w**2 wrt u? -2*l*w**2 + 67*w**3 Find the first derivative of 1822*k**3 + 1785 wrt k. 5466*k**2 Differentiate -2*i**2*x + 77*i**2 - 57*x**3 with respect to x. -2*i**2 - 171*x**2 Differentiate 55*k**2 + 150. 110*k What is the second derivative of 20*d**4 - 66*d**2*w**2 - d*w + 24*w**2 + w wrt d? 240*d**2 - 132*w**2 What is the third derivative of 2*d**5*h**2 + 261*d**5*h - 2*d**2*h - 4*d*h**2 + 16 wrt d? 120*d**2*h**2 + 15660*d**2*h What is the third derivative of 3089*b**3 + 2*b**2 - 175*b - 1? 18534 Find the first derivative of 7*w**3 - 122 wrt w. 21*w**2 What is the second derivative of -643*n**4 - 7*n**3 + 16717*n? -7716*n**2 - 42*n Find the first derivative of -2*a*q**3*w**2 - 24*a*q*w**2 - q**3 + 5*w**2 wrt a. -2*q**3*w**2 - 24*q*w**2 Find the second derivative of 8*w**3*y**2 + 6*w**3 - 2*w**2*y + 23*w*y**3 - 29*y wrt y. 16*w**3 + 138*w*y What is the second derivative of -g*l**5 + 4*g*l**3 - 5*g + 8*l**5 - 2*l wrt l? -20*g*l**3 + 24*g*l + 160*l**3 Find the second derivative of 31028*x**4 - 8512*x. 372336*x**2 Find the third derivative of -4*c**3*l**4 - 238*c**3*l**2 + 6*l**4 wrt l. -96*c**3*l + 144*l Differentiate -10*b**2*r - 11*r + 2 wrt b. -20*b*r What is the third derivative of 14*a**4 - a**3 - 6*a**2 - 11*a? 336*a - 6 Find the third derivative of 4*a*p**4 - 128*a*p**2 + 2*p**5 - p**4 - 2*p**2 wrt p. 96*a*p + 120*p**2 - 24*p Differentiate 27543*f**4*v**2 - 5360*v**2 with respect to f. 110172*f**3*v**2 Find the second derivative of -4*a
{ "pile_set_name": "DM Mathematics" }
i = 0.53695 - 0.54. What is i rounded to 4 dps? -0.0031 Suppose 55184 = -0*o + 2*o. Let r = 1592 - o. Round r to the nearest ten thousand. -30000 Let p = -1976090 - -136090. Round p to the nearest one million. -2000000 Let q be 108 + 3 + (-1)/1. What is q rounded to the nearest 10? 110 Let t = -12039.601 - 9.399. Let o = t + 12048.94117. Let w = o + 0.06. Round w to 4 decimal places. 0.0012 Let c = 10245230.34000086 + -10245138.34. Let i = 92 - c. Round i to seven dps. -0.0000009 Let d = 6 - 6.35. Let a = -0.350166 - d. What is a rounded to five decimal places? -0.00017 Let p = -0.56 - 48.44. Let y = -49.0087 - p. Round y to three decimal places. -0.009 Let z = -3.9 - 27.7. Round z to the nearest integer. -32 Let q = 19699.10459 + -19699. Let v = q - 0.104. What is v rounded to 4 decimal places? 0.0006 Let i = -3 + -3. Let a = i + 5.996. Round a to 3 dps. -0.004 Let k = 18 + -19.1. Let b = 2.3 + k. Let p = b + -1.2000085. What is p rounded to 6 dps? -0.000009 Suppose 0 = 2*y - v - 4403, 4*v + 5616 = 5*y - 5396. Round y to the nearest one thousand. 2000 Let l = 68 - 108.6. What is l rounded to the nearest ten? -40 Let p(a) be the third derivative of 122501*a**6/120 - a**5/30 - 2*a**2. Let v be p(2). Round v to the nearest 100000. 1000000 Let c = 0.77 + -0.7658. Round c to four dps. 0.0042 Suppose 0 = -v - r - 360005, 0 = 5*v - 7*r + 3*r + 1799980. What is v rounded to the nearest 100000? -400000 Let w = 8 + 3. Suppose -w*i + 6300000 = -8*i. What is i rounded to the nearest one million? 2000000 Let d = -2294 - -2266.57. Let y = d - 0.57. Let o = y + 28.0000065. Round o to six dps. 0.000007 Let x = -0.038 - -23.718. Let w = 18 + -41. Let k = w + x. What is k rounded to 1 decimal place? 0.7 Suppose 0 = -2*o + 1 + 9, 0 = -f + 3*o + 9685. What is f rounded to the nearest 1000? 10000 Let j(h) = -2*h**2 - 2*h + 1. Let t be j(1). Let f be ((-219)/t)/((-2)/2). Round f to the nearest ten. -70 Let y = 500 + -501.443. Round y to 1 decimal place. -1.4 Let l(a) = 5*a**3 + 2*a**2 - 4*a - 5. Let r be l(4). Let o = r - 181. Round o to the nearest 10. 150 Let x = -434521.00105 + 434509. Let j = x - -12. What is j rounded to 4 dps? -0.0011 Let s = 7.16 + -0.16. Let x = s + -8. Let c = -1.00192 - x. Round c to 4 dps. -0.0019 Let n = 0.21 + 11.79. Let i = n + -12.0002. Round i to three dps. 0 Let z = -22.429 + -0.171. Let u = -34 - z. What is u rounded to 0 dps? -11 Let l = -0.1144 - -0.11. Round l to 3 dps. -0.004 Let h = -4 + 3.94. Let m = h + -0.14. Let r = 0.2008 + m. What is r rounded to 4 decimal places? 0.0008 Let q be (36/8)/(-3) - 4394/4. Round q to the nearest one thousand. -1000 Suppose r = 2*h - 134058, 84164 = 2*h - 2*r - 49890. Let i = h - 38031. Round i to the nearest 10000. 30000 Let i = -6847075050.270001 - -6847441397.27. Let x = -366351 + i. Let p = 4 + x. Round p to 6 decimal places. -0.000001 Suppose 2*l = -3*l - 230. Let y = l + 13. Round y to the nearest ten. -30 Let p = 6 + -2. Let k = p - 2.75. Let n = k + -1. Round n to 1 dp. 0.3 Let q = 5055 - 5060.082. Let l = -8 + 13. Let f = q + l. What is f rounded to 2 dps? -0.08 Let k = 4 + -4.005. Let r = -9 - -8.97. Let w = r - k. Round w to 2 decimal places. -0.03 Let n = -0.39300197 - -0.393. What is n rounded to seven dps? -0.000002 Let r = -155 + 155.198. Let a = -0.15 - 0.05. Let t = r + a. What is t rounded to 3 dps? -0.002 Let n be (12/(-15))/((-4)/50). Let o be (-1)/2 - n/(-4). Suppose 0*f = 5*f - p - 1599, -o*f + p = -639. Round f to the nearest one hundred. 300 Let x(u) = 2*u**2 + 2*u - 1. Let p be x(-3). Let s = p - 8. Suppose n + 2780 = s*n. What is n rounded to the nearest 100? 1400 Let s = -38.582 - -0.382. What is s rounded to the nearest ten? -40 Let w = 6.5999938 + -6.6. What is w rounded to 5 dps? -0.00001 Suppose -6*h + 6 = -3*h. Let v be (9 - 12)*4/(-6). Suppose -3*d + 1788 = v*x, 250 - 2062 = -h*x + 3*d. What is x rounded to the nearest one thousand? 1000 Let r(l) = -311*l**3 + 11*l**2 + 3*l - 15. Let j be r(-13). Let o = -4334286 - -2969214. Let d = j + o. Round d to the nearest one hundred thousand. -700000 Let a = -211522.1 - -211296.8246. Let t = a + 238.27567. Let n = t + -13. Round n to four dps. 0.0003 Let d = -4929 + 7181. Let y be 4000/((-3)/(-2 + d)). What is y rounded to the nearest one million? -3000000 Let z = 0.0133 - -0.0178. What is z rounded to three dps? 0.031 Let t = 27.4 + -18. Let l = -0.1 - t. What is l rounded to the nearest integer? -10 Suppose 0 = 4*n - 0*n. Suppose n = 4*c - 718376 + 75116. Suppose j - 5*v - 249205 - c = 0, -4*j = -2*v - 1640008. Round j to the nearest one hundred thousand. 400000 Let w = 15.2 + -15.20089. Round w to four decimal places. -0.0009 Let v = -0.5 + 0.32. Let w = -211.782 - -212. Let j = w + v. Round j to two dps. 0.04 Let c = -0.5 - -3.5. Let q = -3.015 + c. Round q to 2 decimal places. -0.02 Suppose -5*q - s = 387, 2*s + 0*s = -4*q - 312. What is q rounded to the nearest 10? -80 Let a = -58 + 30. Let z = a - -28.0051. What is z rounded to 3 decimal places? 0.005 Suppose 3*l + 0*l = 15. Let q be 1/l - (-69999995)/25. Round q to the nearest 1000000. 3000000 Let v = 1456.96 - 1290. Let x = v - 170. What is x rounded to 1 decimal place? -3 Let k = 0.2 - 0.2. Let v = -13 - k. Let c = v + 13.0000013. Round c to six dps. 0.000001 Let j = 0.07 - -65.93. Let d = j - 66.00000051. Round d to seven dps. -0.0000005 Let s = 29 + -15. Suppose -2*c - 6 = -s. Let v(d) = 750*d**2 - d + 4. Let n be v(c). Round n to the nearest one thousand. 12000 Let a be (2 - 4) + 4 - -35. Round a to the nearest 10. 40 Let r = -6.75 - -8. Round r to one dp. 1.3 Let n = -4857462 - -3267462. Round n to the nearest 100000. -1600000 Let r = -0.022 - -0.01. What is r rounded to three decimal places? -0.012 Suppose 52 = -2*g + 44. What is g rounded to the nearest 10? 0 Suppose 0 = -4*k + 3*n + 72800, k - 91000 = -4*k - 3*n. Round k to the nearest 1000. 18000 Let m = -0.157 - -0.157113. What is m rounded to 5 dps? 0.00011 Let o = 26.6065332 - 0.6063432. Let h = -0.38 + 26.38. Let u = h - o. What is u rounded to 4 dps? -0.0002 Let u = 0.67 - 1.263. Let p = 0.62 + u. What is p rounded to two dps? 0.03 Suppose 4 + 26 = 5*u. Suppose k = 5*d - 400015, d - u*d = 2*k + 799985. Round k to the nearest one hundred thousand. -400000 Let u = 0.08 - -53.92. Let s = u - 83. Let x = s + 29.0043. What is x rounded to three decimal places? 0.004 Let i = 28693.089956 - 28693. Let y = i + -0.09. Round y to 5 dps. -0.00004 Suppose 15 = 5*f - 2*f. Let q = f - 1. Suppose -a + q*a = 17400. What is a rounded to the nearest one thousand? 6000 Let t = -17634927.963 + 17645237. Let q = t - 10326. Let s = 17 + q. Round s to 2 dps. 0.04 Let m = 1.0000053 + -1. Round m to 6 decimal places. 0.000005 Let d = -82.6 + 74. What is d rounded to the nearest integer? -9 Let u(g) = -19601*g**2 + 4*g + 5. Let p be u(5). Round p to the nearest 100000. -500000 Let l = 18.9 - 2.9. Let u = l + -9. Let y = u + -6.99928. Round y to 4 decimal places. 0.0007 Let w = -3170.47 + 2986.5. Let j = -4.6 + 189.6. Let v = j + w. What is v rounded to one decimal place? 1 Let h = -0.035 + 0.0349963. What is h rounded to six dps? -0.000004 Let u = -15.96 - -16. Let o = u + -0.3. What is o rounded to one dp? -0.3 Let n = -5055 + 29919. Suppose x + 6736 = -n. Let b be (-500)/(31598/x - -1). What is b rounded to the nearest 1000000? -8000000 Let a be ((-6)/4)/((-3)/4). Let m(w) = 2*w**2 + 2*w - 12. Let z be m(-5). Suppose 0 = t + a*p - 2, z - 6 = 5*t - 2*p. What is t rounded to the nearest integer? 4 Let t = 142.99 + -141. Round t to one dp. 2 Let w = -7 - -8. Let q = 2 + w. Let h = -3.0008 + q. What is h rounded to three decimal places? -0.001 Let w = 26.7 - 28. Let v = w - -1.39. Round v to 1 decimal place. 0.1 Let a(x) be the first derivative of -3 + 0*x - 465/2*x**2. Let y be a(-2). What is y rounded to the nearest one hundred? 900 Let u(n) = 4 + 6*n**2 - 2*n**2 - 3*n - 3*n**2. Let z be u(4). Let l(j) = -37499*j - 8. Let t be l(z). Round t to the nearest 100000. -300000 Let u = 452.4 + -389. Let c = u - 56. What is c rounded to the nearest integer? 7 Let n = 0.02705 + -0.026. What is n rounded to four decimal places? 0.0011 Let c be ((-8)/12)/((-1)/210). Suppose 0 = -0*o + 4*o + 2*i - 298, 2*o + 4*i - c = 0. What
{ "pile_set_name": "DM Mathematics" }
618.94989. -7922021.05011 What is -21618.5 minus 530161? -551779.5 What is -1645136275 take away 3.3885? -1645136278.3885 407 + 9961086714.4 9961087121.4 -3175 - 36937160.5 -36940335.5 What is 13975208.263 - -0.152? 13975208.415 Work out -4116527091 + -394. -4116527485 What is 2.487 - 6045463.0749? -6045460.5879 300 + 6.7262181322 306.7262181322 What is 0.019173511 + 88515? 88515.019173511 What is -1037370910926 take away 5? -1037370910931 -1938472 - -33882402 31943930 What is -0.078619790337 take away 5162? -5162.078619790337 What is -1.11 minus 114807.6793912? -114808.7893912 Add together 8994651608 and -256. 8994651352 Add together 129446 and -6358007.3. -6228561.3 What is -0.566948 plus 96325.88? 96325.313052 What is 1446121.3 take away 24.211? 1446097.089 Work out -103589010 + 97.628. -103588912.372 92538574780 - -0.8 92538574780.8 Calculate -37.993379 - 178601. -178638.993379 Work out 296.788 - 1717.4. -1420.612 Subtract 817432.10399 from 0.2. -817431.90399 Add together 145933497898 and 5. 145933497903 What is 50658 minus -1703983190? 1704033848 Calculate 0.0044765 + -186097267. -186097266.9955235 What is 31446.7903736553 - 4? 31442.7903736553 Subtract -423526811 from 10.44. 423526821.44 0.4 + 1558301624.41 1558301624.81 What is -0.2495 + 1.8962876? 1.6467876 Put together 461516 and -31642899. -31181383 Add -584 and 318902661. 318902077 What is -0.27 plus 9.8307399057? 9.5607399057 Sum -345430505.84 and 291.6. -345430214.24 What is 0.08 less than -30046076458? -30046076458.08 What is -278630 minus -4.649402? -278625.350598 What is -0.0359692117 less than -28607? -28606.9640307883 What is 8312.8333 less than 1961651? 1953338.1667 Work out -10497131954 + -612. -10497132566 Put together 12306.9202796 and 13809. 26115.9202796 What is 2482313751 + -25.2? 2482313725.8 Work out -9379 + 0.404823093. -9378.595176907 2946.295 + -0.048046901 2946.246953099 What is 1235644.494 + -1093779? 141865.494 Calculate -484969.48579 - 0.0696. -484969.55539 Subtract 0.09 from 5246601367883. 5246601367882.91 Subtract 0.0273266951 from 334. 333.9726733049 What is -21116932937.8 + -129.7? -21116933067.5 What is -262.6 take away -0.039290146? -262.560709854 Total of 8479513 and 1.636937. 8479514.636937 Total of 0.229183 and 67523.03. 67523.259183 16177777.677 - -16.17 16177793.847 What is 57.993 - 1565924? -1565866.007 Calculate 3008863.4 - 15956570. -12947706.6 What is 117.1031 + -178287? -178169.8969 Calculate -4811681 - -92875. -4718806 What is -234.61 + -72110045? -72110279.61 -0.201820527 + -1111.577 -1111.778820527 Work out 3634 - 0.0981554. 3633.9018446 Calculate 65289181 + 1756.512. 65290937.512 Put together 1622 and -8.220438216. 1613.779561784 Add 48403 and -2.647562. 48400.352438 Work out 58904688429 - 27. 58904688402 Calculate -24 - -289349944774.6. 289349944750.6 Sum -7783334067270 and -2. -7783334067272 Calculate -0.011 + 200828197042. 200828197041.989 What is -4.2124994 - 0.040077? -4.2525764 Subtract 0.155389415831434 from -1. -1.155389415831434 What is -5974955 minus 33100? -6008055 25511.3119+-0.7 25510.6119 Calculate -0.60534 - 148010.2. -148010.80534 What is -1782892181775.3 plus 0.2? -1782892181775.1 Calculate -3225604935098 - 73. -3225604935171 -28568183598+16 -28568183582 Sum -1287709 and 3741.6878. -1283967.3122 Put together -0.7116134 and 496.32372. 495.6121066 What is 23271 less than 98102028? 98078757 What is -405.1 take away -672280742? 672280336.9 Total of -5021727 and 291730. -4729997 Add -2327 and 713272.958741. 710945.958741 Add together 159 and 712.82501075. 871.82501075 Put together -0.12 and -4616609853032. -4616609853032.12 Total of -0.1496 and -1587533.59. -1587533.7396 What is -54135411 minus 126.1? -54135537.1 Add together -381368311 and -187.5. -381368498.5 -1198885 - -3128887 1930002 33.02484 - 5029.64 -4996.61516 Add together -4601.4965777 and 277. -4324.4965777 Subtract 13052.5035 from -1.6. -13054.1035 Put together 0.8 and -163033349048.4. -163033349047.6 4458298+29.967902 4458327.967902 Add -0.2 and 3401327955640. 3401327955639.8 Subtract -306.09 from 264.8187. 570.9087 What is -168245961.4 - -78074? -168167887.4 Add 1 and 4151160089. 4151160090 What is -22942864186 - 0.01579? -22942864186.01579 Calculate 1013195.401247 + 49. 1013244.401247 -2 + -75640036818.7 -75640036820.7 Total of 4019076 and 10569. 4029645 What is -140.4513 less than 5.7615? 146.2128 -8.3893728231+0.5 -7.8893728231 What is 0.1928 less than 463.19777821? 463.00497821 What is 18549164585 plus 0.1? 18549164585.1 What is 475423410 + -0.139? 475423409.861 What is 2 + -4232477520451? -4232477520449 What is -11642 - -3462.945? -8179.055 0.022631543+-59.285 -59.262368457 Sum 0.40726374491329 and 3. 3.40726374491329 What is -90184.4 take away -884.86868? -89299.53132 Calculate -315.31182 - -0.50154. -314.81028 What is the distance between -57 and 26347301513.3? 26347301570.3 -32730+15326817 15294087 What is 0.4 - 69750750650? -69750750649.6 -5819825+-373534 -6193359 Subtract 0.284 from 40826793. 40826792.716 Calculate 2591 + -352912.6778. -350321.6778 What is -14309481.9 - 28.2? -14309510.1 What is the difference between 4493 and -3563826.8613? 3568319.8613 Calculate 0.1899098 - -22.163442. 22.3533518 What is 91146 take away 55098.696? 36047.304 What is the difference between -1129245600.9 and -8035? 1129237565.9 What is 2112885919 + 7.8705? 2112885926.8705 What is the difference between 243554423578 and -0.13? 243554423578.13 Calculate -468550.1 + 85804. -382746.1 What is -691 take away -0.29529918? -690.70470082 What is 0.430321 minus 1163268.9? -1163268.469679 Sum -72 and 521518229424. 521518229352 Work out 1040038 - 20105494. -19065456 290759+1482654 1773413 Sum 0.06189406 and -2701172. -2701171.93810594 Work out -0.223 - -171.22946735. 171.00646735 Work out -5595406 - -863269. -4732137 What is 3.35 minus 3800760764? -3800760760.65 What is -0.3936 less than 1016879627? 1016879627.3936 What is the difference between -16490466.9 and -3937.6? 16486529.3 What is 110482971 + -227.8407? 110482743.1593 Calculate -1.9051 + -65216559. -65216560.9051 What is -0.036 plus 185671303.8? 185671303.764 -1421856334+-0.273 -1421856334.273 Calculate 0.06 - -106.47532133. 106.53532133 What is -144738358.64767 take away 15? -144738373.64767 Add 3 and -139.966648377. -136.966648377 What is the distance between -157180945110.3 and -10.6? 157180945099.7 Sum -155283154 and -0.0944. -155283154.0944 Work out 22.5984363 - 12753.1. -12730.5015637 What is 3058323.5181059 plus -0.5? 3058323.0181059 Add together 0.37908353 and -0.4351. -0.05601647 What is the distance between -4126493913052 and 4? 4126493913056 What is -0.035 minus 4983126611124? -4983126611124.035 What is the difference between 1302 and 108745867043? 108745865741 What is -47221 - 6.549088? -47227.549088 -1.321212612+-4.06 -5.381212612 Calculate 0.02 - 435485320338. -435485320337.98 Calculate -811228484 + 0.01975. -811228483.98025 What is -28913.63906 take away -526? -28387.63906 What is 255.92406155 plus 4? 259.92406155 What is 134299026696.6 + 0.2? 134299026696.8 Sum -132350455 and -116186. -132466641 Sum -4708863 and -263.97. -4709126.97 -21082114+-43.0883 -21082157.0883 Total of -0.5 and 20209041083329. 20209041083328.5 What is -397936.9865583 take away 13? -397949.9865583 Total of -10196343708 and -1021. -10196344729 0.06507304 + -1.85 -1.78492696 What is -73518186 take away -45914.14? -73472271.86 Subtract -6716 from 1827863616. 1827870332 What is -829996687 + -492864? -830489551 -1.81+-3913112377 -3913112378.81 Work out -1747398796.072 - -277. -1747398519.072 What is -1 minus -0.257218880404? -0.742781119596 Calculate 84150756.2499 + 5. 84150761.2499 -5801123755555 + -0.2 -5801123755555.2 What is the distance between -52.901050214 and -0.1? 52.801050214 Add 14395933247 and -0.152. 14395933246.848 54080884.7+7 54080891.7 Total of 106931 and 177159.475. 284090.475 Work out 51145868.86 - 0.00688. 51145868.85312 What is 0.4 plus 1515886661683? 1515886661683.4 Put together 1682920888 and 79618. 1683000506 Sum 1113225653684 and -1. 1113225653683 What is -803554138 plus 301039? -803253099 Put together 0.1 and -4250386344212. -4250386344211.9 What is the distance between -0.308 and 184644868068? 184644868068.308 S
{ "pile_set_name": "DM Mathematics" }
hat is 0.17 take away -5290? 5290.17 What is -352 take away 6? -358 Calculate 5 + 1697. 1702 0.5+456992 456992.5 What is 0.028 + 0? 0.028 What is 12.11 - 0.13? 11.98 Calculate -2 + -1262. -1264 Calculate -0.0458 + -0.62. -0.6658 0.3 - -791396 791396.3 0.5+-585 -584.5 Calculate 26160 + 0.2. 26160.2 What is 83 plus 88? 171 What is -0.010254 plus -5? -5.010254 Add together -2 and 2323. 2321 Total of 10.2 and -0.0404. 10.1596 Work out -1882 + 4. -1878 What is -0.45138 less than -1.54? -1.08862 What is 0.1 less than -1536? -1536.1 Calculate -726429 - -0.3. -726428.7 Work out 179 + 6. 185 What is 0 take away -0.1382? 0.1382 What is the distance between -0.14922 and -2? 1.85078 -1.1 - -6653 6651.9 What is the difference between 1498 and -5? 1503 -1 - 1.81 -2.81 What is -729 less than 0.01? 729.01 What is -175321 + -0.3? -175321.3 What is the difference between -7 and 1369? 1376 Work out -0.065 + 0.93. 0.865 Add 22754 and -0.202. 22753.798 What is 0.04 minus -0.2105? 0.2505 What is 1596 + 0.02? 1596.02 Total of 12468949 and -5. 12468944 Calculate -0.1 + -144.3. -144.4 What is -0.07036 minus -4? 3.92964 What is 1 less than -4261770? -4261771 Work out -40 + 219.9. 179.9 What is the distance between 0.08 and 8845? 8844.92 Work out 4.4271 + 0.1. 4.5271 Add 0.4 and 0.015612. 0.415612 What is 4 + 58.9? 62.9 Add together -0.17 and -3.8. -3.97 Add together -1963655 and 0.5. -1963654.5 What is 2.1536 plus -0.4? 1.7536 What is 8 plus -16066? -16058 Calculate 607679 - 5. 607674 What is 0.3 - -8.49? 8.79 What is -0.1 - -32.0056? 31.9056 Add 0.01 and -5331. -5330.99 What is -12406296 - -0.2? -12406295.8 -9 - 27.43 -36.43 What is -3609 - -8? -3601 0.05 - -22125 22125.05 What is 43780 less than 0.11? -43779.89 What is 126761 + 9? 126770 Calculate -39982 + 2. -39980 Work out -4 - -502007. 502003 What is -12960 - -6? -12954 Put together 0.036 and 3.5. 3.536 Work out -0.2 - 5658. -5658.2 What is 1224 less than 0.13? -1223.87 What is -66 plus -29? -95 What is -0.09 plus 0.235? 0.145 Add together 21 and 47. 68 Add 1227569 and 5. 1227574 Work out 10 + 3825.7. 3835.7 Work out -0.07651 - 25. -25.07651 What is -56193 - -286? -55907 Work out 58221 - 23. 58198 Calculate 0.0662 + 1. 1.0662 Subtract -419.1 from -7. 412.1 What is the difference between 257 and 0? 257 What is the difference between 0.3 and 13362.2? 13361.9 Put together 3424399 and 4. 3424403 Add 5731.5 and 0.2. 5731.7 Calculate -9 + 132. 123 What is the difference between 0.05 and 1536.72? 1536.67 What is -0.5 - -986527? 986526.5 What is 6.1 - -119? 125.1 What is -0.5 plus -2.333? -2.833 Put together 855 and -7.861. 847.139 15153 - -14.3 15167.3 What is -0.01 + -56? -56.01 Add together 0.3 and 693. 693.3 What is -3.5 take away 0.35841? -3.85841 Work out -0.1 - 10.06. -10.16 Add -469 and -19. -488 Add together 22395 and 0.032. 22395.032 What is -0.032635 less than -0.05? -0.017365 -1 + 889058 889057 Calculate -0.104 + -13.9. -14.004 Work out 2.2 - 2297. -2294.8 What is 3 less than 45.8? 42.8 Calculate -0.0674 - 0.139. -0.2064 What is the difference between 236.08 and -23? 259.08 What is -0.48 - 0.13? -0.61 Work out -4.83 - 2. -6.83 Work out -1.85 + 0.48832. -1.36168 What is -44 take away 2122.85? -2166.85 Subtract -4.75 from -3. 1.75 What is 5.163255 minus 0.4? 4.763255 Subtract 0.08 from -0.097003. -0.177003 What is 0.055 take away -4918? 4918.055 -58.77376+0.1 -58.67376 3 - -9735 9738 What is 6 less than -280? -286 What is -2.0245 + -0.5? -2.5245 What is -348 minus 0.042? -348.042 Add together 1.4 and 0.3. 1.7 Work out -0.04 - -15897. 15896.96 Sum 1.2 and 68701. 68702.2 What is -8425 plus 2? -8423 What is -1 - 416114? -416115 Work out 72 + -16. 56 What is -5 less than -23516? -23511 Calculate 78884 - -2.5. 78886.5 Total of -0.66 and 26. 25.34 What is -0.96 minus -3.5? 2.54 What is -0.11 take away 1455? -1455.11 -346.021 + -1 -347.021 Add together 2 and -614.7. -612.7 4.83+-1181 -1176.17 Work out 18.6 - -5. 23.6 Add together 0.117 and -47. -46.883 Put together -0.3 and 33025. 33024.7 Calculate 0.19 + 2. 2.19 Work out -432588 - 0.1. -432588.1 Calculate -31 - -441. 410 What is the difference between 2 and 183.04? 181.04 Subtract 478 from -0.4. -478.4 Add together -1 and -0.100536. -1.100536 Add 1.14 and 0.0177. 1.1577 Calculate -4 + -0.07985. -4.07985 What is the distance between -0.03 and 344? 344.03 What is -5.4 minus -154? 148.6 What is the difference between 26.8 and -56.2? 83 Work out -67 + -0.077. -67.077 Total of -3.95 and 61. 57.05 Put together 1 and -3863. -3862 Put together 0.796 and -0.5. 0.296 Subtract -0.4 from -2119910. -2119909.6 What is -0.341 - 42? -42.341 Work out -37.07 - -25.14. -11.93 Put together -26 and -108017. -108043 Work out 4709 + 0.1. 4709.1 Calculate -28 + 0.32127. -27.67873 -16 + -1142.72 -1158.72 Sum -10.85707 and 0.2. -10.65707 Add -150 and 0.3. -149.7 What is 5 + -46.22? -41.22 Add -704 and 0.5. -703.5 Calculate 342558 + -0.2. 342557.8 What is -0.00927 less than 0.2? 0.20927 Calculate -7497 + 50.4. -7446.6 Work out -0.0025 + 0.055. 0.0525 -121535 - 0.5 -121535.5 What is -6.687 minus -5? -1.687 What is 0.7 minus -2.053? 2.753 Calculate -44 + 6715. 6671 Calculate -7961 + 0.06. -7960.94 Subtract -26.2 from 0.004. 26.204 4.45+0.19 4.64 What is 9 minus 0.22? 8.78 What is 2.32 + 12? 14.32 Work out -1 + -0.24909. -1.24909 What is -14 + -18.27? -32.27 Work out -0.0069 + -3.83. -3.8369 Add together -12 and 0.55. -11.45 Sum -3 and 29924. 29921 -0.029 - -22.57 22.541 What is 0.5 minus 117737? -117736.5 Work out 0.3 + 776.83. 777.13 499.5 + -164 335.5 What is -98 minus 13? -111 -1909.6 - 0 -1909.6 0.209+8 8.209 Calculate -770 - -2. -768 What is the distance between -49.61 and -0.0206? 49.5894 Work out -45 - -12747. 12702 Calculate 0.2 - 0.53099. -0.33099 What is -163 - -38? -125 Put together -329 and 1505. 1176 Subtract -1287 from 0.06. 1287.06 Work out 5 + 4977. 4982 Calculate 62 + 5.3. 67.3 What is 0.56427 minus 1.1? -0.53573 What is -565401 + 4? -565397 Calculate -21002 + -1.8. -21003.8 What is 1 - 350? -349 What is 157 plus 24? 181 Calculate -34 - 33. -67 Calculate -32 - 118. -150 429 - 0.144 428.856 -34 + 0.52 -33.48 Work out -0.1 - -0.0419. -0.0581 Sum 46 and 32.82. 78.82 What is 7012 plus 4? 7016 What is 14 take away 26137? -26123 Work out 665 - 0.013. 664.987 What is 0.1224 minus 0.03? 0.0924 What is the difference between -0.1939 and -211? 210.8061 What is -10.715 + -4? -14.715 What is 0.5 + 4432? 4432.5 What is the difference between -163 and -5? 158 What is 24159.2 + 15? 24174.2 Calculate -0.016 + 0.1. 0.084 What is -94 minus -1.5374? -92.4626 Sum 11.216 and -176. -164.784 Subtract -0.3 from -14023.9. -14023.6 What is -29 less than -1634? -1605 What is -0.4 minus 0.1566? -0.5566 What is -101716 minus 0? -101716 15578+0.5 15578.5 -114.56 - 0.3 -114.86 What is -1.65 take away 29? -30.65 What is 21 plus 1483? 1504 Calculate -3 - 0.0428. -3.0428 Put together -0.24 and 0.08. -0.16 What is 1.15 plus -6? -4.85 What is 14878 plus -53? 14825 Calculate 1 - 87186. -87185 What is -0.5 plus 244.65? 244.15 What is -55.384 - 0.5? -55.884 What is 90.3 plus -2351? -2260.7 What is -28 less than 3983? 4011 What is -3 less than -0.1268? 2.8732 What is -4.76988 minus 0.08? -4.84988 What is 0.1 less than -817290? -817290.1 1 - 5906 -5905 0.2807 + -0.13 0.1507 Add -0.4 and -972. -972.4 What is 0.114 take away 16488? -16487.886 Calculate -4.62 - 8. -12.62 What is 0.6 - -447? 447.6 What is -0.1 take away 76.3? -76.4 What is 193.6 plus -6? 187.6 Sum 0.2 and -486.8. -486.6 What is -2333 - -3? -2330 Add 32416 and -1. 32415 What is 24 minus 0.234? 23.766 Work out 0.081353 - 6. -5.918647 Put together 0.1 and 23.71393. 23.81393 What is -0.972 minus 3.06? -4.032 -5+97.6187 92.6187 Add -26 and -196.4. -222.4 3.6799+-0.5 3.1799 Add 0.1127 and -0.14. -0.0273 What is -386279 less than -0.4? 386278.6 Calculate 0.4 + -7755. -7754.6 What is 0.5 minus 2167? -2166.5 Add -0.06 and 9.8. 9.74 What is 3.28 less than 9? 5.72 Add together -0.5 and 2672. 2671.5 Calculate -306 + 65. -241 Total of -1 and 465164. 465163 What is the distance between 0.1932 and -1? 1.1932 Work out -11 - 1. -12 Work out 17 - 34.15. -17.15 What is -349 plus -2000? -2349 What is 0.7 less than -154? -154.7 Work out 3 - -700895. 700898 Work out 15.7 -
{ "pile_set_name": "DM Mathematics" }
186? -3*x**2 + 3*x + 222 What is the a'th term of -40, -124, -264, -460, -712, -1020? -28*a**2 - 12 What is the z'th term of 137, 131, 105, 47, -55, -213? -2*z**3 + 2*z**2 + 2*z + 135 What is the z'th term of -8, 2, 12, 22? 10*z - 18 What is the z'th term of 263, 278, 275, 242, 167? -2*z**3 + 3*z**2 + 20*z + 242 What is the f'th term of 548, 545, 542? -3*f + 551 What is the p'th term of -1, -11, -43, -109, -221? -2*p**3 + p**2 + p - 1 What is the v'th term of 111, 172, 233? 61*v + 50 What is the d'th term of 662, 1363, 2064? 701*d - 39 What is the m'th term of -305, -295, -269, -221, -145, -35, 115, 311? m**3 + 2*m**2 - 3*m - 305 What is the m'th term of 650, 652, 656, 662, 670? m**2 - m + 650 What is the b'th term of -1013, -1008, -1003, -998? 5*b - 1018 What is the b'th term of 116, 126, 148, 188, 252? b**3 + 3*b + 112 What is the r'th term of -121, -328, -621, -1000, -1465? -43*r**2 - 78*r What is the j'th term of 26, 29, 32, 35, 38? 3*j + 23 What is the s'th term of 26, 26, 20, 2, -34? -s**3 + 3*s**2 - 2*s + 26 What is the a'th term of 1313, 2625, 3937, 5249, 6561, 7873? 1312*a + 1 What is the z'th term of 6, 21, 34, 39, 30, 1? -z**3 + 5*z**2 + 7*z - 5 What is the x'th term of 183, 138, 71, -12, -105? x**3 - 17*x**2 - x + 200 What is the n'th term of -5859, -5865, -5873, -5883, -5895? -n**2 - 3*n - 5855 What is the f'th term of 297, 301, 305, 309? 4*f + 293 What is the w'th term of 615, 612, 607, 600? -w**2 + 616 What is the b'th term of -16, -52, -112, -196, -304? -12*b**2 - 4 What is the h'th term of 49, 91, 161, 259, 385? 14*h**2 + 35 What is the m'th term of 29, 15, -13, -61, -135, -241? -m**3 - m**2 - 4*m + 35 What is the r'th term of -1, -10, -41, -106, -217, -386? -2*r**3 + r**2 + 2*r - 2 What is the j'th term of -977, -976, -975, -974? j - 978 What is the f'th term of -319, -617, -915? -298*f - 21 What is the l'th term of 29, 54, 91, 140, 201? 6*l**2 + 7*l + 16 What is the l'th term of 14, 28, 66, 140, 262, 444, 698, 1036? 2*l**3 + 12 What is the k'th term of 2875, 2867, 2859, 2851? -8*k + 2883 What is the g'th term of 46, 179, 400, 709? 44*g**2 + g + 1 What is the s'th term of -843, -838, -833, -828, -823, -818? 5*s - 848 What is the a'th term of -84, -61, -38, -15, 8, 31? 23*a - 107 What is the s'th term of -173, -184, -201, -224? -3*s**2 - 2*s - 168 What is the x'th term of 27, 16, -1, -18, -29, -28, -9? x**3 - 9*x**2 + 9*x + 26 What is the a'th term of -27, -61, -97, -135, -175? -a**2 - 31*a + 5 What is the y'th term of -647, -652, -657, -662, -667? -5*y - 642 What is the v'th term of 29, 29, 31, 35, 41, 49, 59? v**2 - 3*v + 31 What is the f'th term of 98, 162, 270, 422, 618? 22*f**2 - 2*f + 78 What is the l'th term of -434, -435, -432, -419, -390, -339, -260, -147? l**3 - 4*l**2 + 4*l - 435 What is the j'th term of -31, -42, -53, -64? -11*j - 20 What is the g'th term of 16, 57, 126, 223? 14*g**2 - g + 3 What is the j'th term of -5942, -5941, -5940? j - 5943 What is the i'th term of 29, 116, 265, 476, 749, 1084, 1481? 31*i**2 - 6*i + 4 What is the n'th term of 48, 116, 228, 384, 584? 22*n**2 + 2*n + 24 What is the k'th term of 66, 93, 108, 99, 54, -39, -192, -417? -2*k**3 + 6*k**2 + 23*k + 39 What is the v'th term of 19380, 19382, 19386, 19392? v**2 - v + 19380 What is the d'th term of 4025, 4033, 4043, 4055, 4069? d**2 + 5*d + 4019 What is the r'th term of -11, -11, 3, 43, 121, 249, 439, 703? 2*r**3 - 5*r**2 + r - 9 What is the w'th term of 4, 20, 58, 130, 248, 424, 670, 998? 2*w**3 - w**2 + 5*w - 2 What is the z'th term of -49, -113, -193, -295, -425, -589, -793, -1043? -z**3 - 2*z**2 - 51*z + 5 What is the b'th term of 235, 225, 215, 205, 195, 185? -10*b + 245 What is the x'th term of 14, 74, 240, 566, 1106, 1914, 3044, 4550? 9*x**3 - x**2 + 6 What is the o'th term of -112, -230, -350, -472, -596, -722? -o**2 - 115*o + 4 What is the s'th term of -737, -1314, -1879, -2426, -2949, -3442, -3899? s**3 - 584*s - 154 What is the i'th term of -56, -71, -86? -15*i - 41 What is the d'th term of -465, -468, -451, -402, -309, -160? 2*d**3 - 2*d**2 - 11*d - 454 What is the d'th term of 3, 9, 19, 33, 51, 73? 2*d**2 + 1 What is the b'th term of 603, 604, 607, 612, 619? b**2 - 2*b + 604 What is the x'th term of 52, 99, 146, 193? 47*x + 5 What is the h'th term of 619, 618, 615, 610? -h**2 + 2*h + 618 What is the v'th term of -41, -58, -85, -122, -169? -5*v**2 - 2*v - 34 What is the p'th term of -77, -146, -215? -69*p - 8 What is the v'th term of -1224, -1227, -1232, -1239, -1248, -1259? -v**2 - 1223 What is the q'th term of 12, 14, 8, -6, -28, -58? -4*q**2 + 14*q + 2 What is the x'th term of 6, 9, 8, 3, -6, -19? -2*x**2 + 9*x - 1 What is the s'th term of -206, -411, -616? -205*s - 1 What is the t'th term of -73463, -73462, -73461, -73460, -73459, -73458? t - 73464 What is the d'th term of -7705, -7707, -7709, -7711, -7713? -2*d - 7703 What is the m'th term of 5, -4, -15, -28, -43, -60? -m**2 - 6*m + 12 What is the r'th term of 1347, 2692, 4039, 5388, 6739, 8092? r**2 + 1342*r + 4 What is the m'th term of -8, 10, 62, 166, 340, 602? 3*m**3 - m**2 - 10 What is the w'th term of -3, 29, 113, 273, 533? 4*w**3 + 2*w**2 - 2*w - 7 What is the c'th term of 198, 200, 202, 204? 2*c + 196 What is the d'th term of -52, -109, -166? -57*d + 5 What is the h'th term of 39, 21, 5, -9, -21? h**2 - 21*h + 59 What is the k'th term of -9, -24, -55, -108, -189, -304, -459? -k**3 - 2*k**2 - 2*k - 4 What is the r'th term of 46, 70, 94, 118? 24*r + 22 What is the o'th term of -720, -710, -686, -642, -572? o**3 + o**2 - 722 What is the h'th term of 44, 134, 290, 518, 824, 1214, 1694, 2270? h**3 + 27*h**2 + 2*h + 14 What is the m'th term of 4, -16, -40, -62, -76, -76, -56, -10? m**3 - 8*m**2 - 3*m + 14 What is the y'th term of 418, 835, 1254, 1675? y**2 + 414*y + 3 What is the c'th term of -20, -22, -24? -2*c - 18 What is the l'th term of 11, 13, 17, 23, 31, 41, 53? l**2 - l + 11 What is the v'th term of 7598, 7599, 7600, 7601, 7602? v + 7597 What is the u'th term of -1942, -1946, -1950, -1954, -1958, -1962? -4*u - 1938 What is the i'th term of -211, -216, -233, -268, -327, -416, -541? -i**3 + 2*i - 212 What is the m'th term of -57, -172, -287, -402, -517? -115*m + 58 What is the v'th term of 814, 1630, 2446, 3262? 816*v - 2 What is the b'th term of 231, 229, 239, 267, 319, 401, 519, 679? b**3 - 9*b + 239 What is the x'th term of -130, -133, -138, -145, -154? -x**2 - 129 What is the o'th term of 63, -30, -123? -93*o + 156 What is the h'th term of 31, 64, 97, 130? 33*h - 2 What is the h'th term of -125, -140, -179, -254, -377, -560, -815? -2*h**3 - h - 122 What is the y'th term of -12, -163, -568, -1353, -2644, -4567? -21*y**3 - y**2 - y + 11 What is the q'th term of 98, 197, 296, 395? 99*q - 1 What is the r'th term of 20, 64, 140, 248? 16*r**2 - 4*r + 8 What is the t'th term of 43, 45, 47, 49? 2*t + 41 What is the b'th term of 22630, 22636, 22652, 22684, 22738, 22820, 22936? b**3 - b**2 + 2*b + 22628 What is the m'th term of -26, -13, 0, 13, 26, 39? 13*m - 39 What is the s'th term of 95, 87, 69, 35, -21, -105, -223? -s**3 + s**2 - 4*s + 99 What is the z'th term of 1163, 1157, 1141, 1109, 1055, 973? -z**3 + z**2 - 2*z + 1165 What is the q'th term of 55, 102, 163, 244, 351, 490, 667? q**3 + q**2 + 37*q + 16 What is the x'th term of -57, -210, -465, -828, -1305, -1902, -2625? -x**3 - 45*x**2 - 11*x What is the i'th term of 64, 154, 236, 304, 352, 374? -i**3 + 2*i**2 + 91*i - 28 What is the p'th term of 733, 731, 727, 721? -p**2 + p + 733 What is the r'th term of -130, -524, -1180, -2098, -3278? -131*r**2 - r + 2 What is the w'th term of -147, -140, -137, -144, -167, -212, -285, -392? -w**3 + 4*w**2 + 2*w - 152 What is the t'th term of -206, -398, -592, -788, -986? -t**2 - 189*t - 16 What is the a'th term of 25, 16, 9, 4, 1, 0? a**2 - 12*a + 36 What is the h'th term of 122, 228, 312, 362, 366, 312, 188? -2*h**3 + h**2 + 117*h + 6 What is the s'th term of -14, 1, 26, 67, 130, 221, 346, 511? s**3 - s**2 + 11*s - 25 What is the o'th term of -47, -216, -503, -908, -1431? -59*o**2 + 8*o + 4 What is the m'th term of 3, -9, -37, -87, -165, -277? -m**3 - 2*m**2 + m + 5 What is the l'th term of 4, 21, 38, 55, 72, 89? 17*l - 13 What is the o'th term of -11634, -11635, -11646,
{ "pile_set_name": "DM Mathematics" }
2*s**2 - s + 4. Let a be j(4). Suppose 0 = -0*k - 8*k + a. What is the remainder when 63/2*(-20)/(-30) is divided by k? 9 Let j(y) = 79623*y + 3. Let i be -2*(-2)/4 - -1. Suppose 0 = -2*z + i + 8. What is the remainder when z is divided by j(0)? 2 Suppose 13 = 2*i + 23. Let o(f) = 2*f**2 - 8*f - 19. Calculate the remainder when o(i) is divided by 12. 11 Suppose -5*c + 204 = 2*b - 21, 2*c + 4*b - 90 = 0. What is the remainder when (-8 - -10)*(4 + c) is divided by 34? 30 Let z(d) = 120*d - 14953. What is the remainder when 11279 is divided by z(125)? 46 Let p be (2/(-6))/((-1)/18). Suppose 95*s = 90*s - 10. What is the remainder when (176/(-2))/((p - 5) + s) is divided by 18? 16 Calculate the remainder when 380 is divided by 33 - 6/102*17. 28 Suppose 5*b - 2*a - 102 = 349, b - 4*a = 83. What is the remainder when 1454 is divided by b? 89 Suppose 2*f - 10 = 0, z + 3*f = -2*f + 101. Let s = -3679 + 3692. What is the remainder when z is divided by s? 11 Let m = -14 + 35. Let b(s) = -s**3 + 28*s**2 - 185*s + 112. What is the remainder when b(10) is divided by m? 20 Suppose -28*c - 21390 = -45*c - 98*c. What is the remainder when 1114 is divided by c? 184 Suppose 6*l = 53 - 41. Suppose -l*n + 18 = 20, 2*j - 498 = -4*n. Calculate the remainder when j is divided by 36. 35 Suppose 0 = 57*g + 69*g - 20*g - 10176. What is the remainder when 459 is divided by g? 75 Let m(o) = -7*o + 7. Let f be m(1). Suppose f = -2*b + 158 + 172. Let r = b - 126. What is the remainder when r is divided by 8? 7 Suppose 11693 = 8*u - 51819. Suppose -20*g + u = 2139. What is the remainder when g is divided by 73? 71 Suppose 90 = 5*b - 2*b. Let p(u) be the third derivative of u**5/60 - u**4/24 + 4*u**3/3 + 12*u**2. Calculate the remainder when p(11) is divided by b. 28 Suppose 56*r + 473 = -87. Let m(y) = -y**2 - y - 22. Let w be m(0). Let p = r - w. What is the remainder when 59 is divided by p? 11 Let x = 2665 + -2224. What is the remainder when x is divided by 60? 21 Let x be (-33)/(((-81)/936)/(3/4)). Suppose s = 14*s - x. What is the remainder when s is divided by 12? 10 Suppose -2*p - 51 = -n + p, n + 3*p - 63 = 0. Suppose -122*f - 2550 = -137*f. Calculate the remainder when f is divided by n. 56 Let k(i) = -i**2 - 25*i - 26. Let c be k(-22). Let o = 21 + c. Let t = 24 + 0. Calculate the remainder when o is divided by t. 13 Let g(w) = 40*w - 65. Suppose -2*z - 9*f + 7*f + 8 = 0, -14 = -5*z - 2*f. Calculate the remainder when 99 is divided by g(z). 9 Let d(i) = -i**3 + 6*i**2 + i - 26. Let l be d(5). Suppose 273 = -l*h + 11*h. Let v = -9 + h. Calculate the remainder when 53 is divided by v. 23 Suppose 3*t - 76 = -t. Let h be ((-247)/(-26))/((-1)/(-36)*-2). Let s = -100 - h. What is the remainder when s is divided by t? 14 Let o(g) = 286*g**2 + 487*g - 2406. Calculate the remainder when o(5) is divided by 63. 60 Let p(b) = -2*b. Let y be p(-3). Let k be (5 + (-72)/16)/(3/(-12)). Let t = y + k. Calculate the remainder when 5 is divided by t. 1 Suppose -4*d - 2*q = -970, 4*d - 34*q = -29*q + 991. Calculate the remainder when d is divided by 41. 39 Suppose 375*h = 187*h + 177*h + 125477. Calculate the remainder when h is divided by 62. 61 Let z(x) = 2*x**3 - 5*x**2 - x + 13. Suppose 2*m = -r - m + 169, -4*r - 5*m + 676 = 0. What is the remainder when r is divided by z(3)? 17 Let n(v) = -1 + 4*v - 3 - 4 + v**3 - 1 - 6*v**2. Suppose -2*j = -7*j + 30. Calculate the remainder when n(j) is divided by 8. 7 Let v be (-2)/(-22) + -1 + 10112/88. Suppose -3*a - 36 = -7*a. Suppose -a*z + 3*y = -4*z - 277, -2*z = -2*y - v. What is the remainder when z is divided by 18? 17 Let k = 26 - 15. Let a be ((-12)/10)/(32/5 + -6). Calculate the remainder when (-89 - (a - 1))*-1 is divided by k. 8 Let f(k) = k. Let z(o) = 6*o - 6. Let j(d) = -8*f(d) + z(d). Let w be j(-5). Let h = 65 + w. What is the remainder when h is divided by 24? 21 Let s = -284 - -648. Let j = s + -334. What is the remainder when j is divided by 17? 13 Suppose 51*z + 182 = -2*z + 3256. Suppose 10 = d + 3*j - 0, 4*d + j = 40. Suppose 2*x - 70 = -d. What is the remainder when z is divided by x? 28 Suppose -5*b + 231 = 231. Suppose 5*d + 44 = p, b = -4*d - 9 + 5. What is the remainder when 60 is divided by p? 21 Let s = -9916 - -9945. Let a(j) = j**3 - 6*j**2 + j + 6. Calculate the remainder when a(9) is divided by s. 26 Let w(i) = 6*i**2 - 295*i - 79. What is the remainder when w(53) is divided by 87? 9 Let z = -3624 - -3848. What is the remainder when 265 is divided by z? 41 Let d(z) be the third derivative of 1/60*z**5 + 0 - 1/8*z**4 - 4*z**3 - 32*z**2 + 0*z. Calculate the remainder when d(-9) is divided by 43. 41 Suppose 2*i - 70 = -0*i. Let u(f) = 1274 - 25*f - 1312 - 10*f. What is the remainder when u(-6) is divided by i? 32 Let d(a) = a**2 - 5*a + 4. Let v be d(4). Suppose 2*c = 3*m - 98, v*m - 2*c + 62 = 2*m. Suppose -27*t + m*t = 65. What is the remainder when 37 is divided by t? 11 Let r = -18688 + 18704. What is the remainder when 43 is divided by r? 11 Suppose 15 = -8*v + 3*v. Let h(u) = -14*u**2 - 3*u - 8. Let d be h(v). Let n = d - -281. What is the remainder when n is divided by 32? 28 Calculate the remainder when 254 is divided by 22989/3792 + 2/(-32). 2 Calculate the remainder when 235 - 0 - (10/80 - (-651)/168) is divided by 18. 15 Let n(x) be the second derivative of -x**4/12 + 4*x**3/3 - 5*x**2/2 + 2*x. Calculate the remainder when n(4) is divided by (-8)/(-10)*28/((-364)/(-65)). 3 Let b = 115 - 107. Let t(a) = a**3 - 8*a**2 + 6*a - 39. What is the remainder when 116 is divided by t(b)? 8 Let y(h) = 3*h + 56. Suppose 189 - 182 = -s. Calculate the remainder when y(s) is divided by 5. 0 Suppose -64*u + 21*u + 49617 = 68*u. What is the remainder when u is divided by 396? 51 Suppose -225 = -70*c + 25*c. What is the remainder when 8 is divided by c? 3 Suppose 3*w - 2*x - 443 = 0, -w + 5*x = -3*w + 327. Calculate the remainder when 1029 is divided by w. 123 Suppose -4*v + 3*f = f + 348, -5*f + 440 = -5*v. Let o = v - -223. Let z(b) = b**3 - 7*b**2 + 2*b + 6. What is the remainder when o is divided by z(7)? 17 Suppose -46*a + 44*a = -3*b - 490, -4*b = -3*a + 736. What is the remainder when 8924 is divided by a? 244 Let a be ((-1641)/(-15) - 4/10) + 2. Suppose 2*p + 35 = a. Suppose -p = 4*c - 126. What is the remainder when c is divided by 13? 9 Suppose 30*o + 259*o - 5202 = 0. Let b(n) = -n**3 - 10*n**2 + 10. Let f be b(-10). Calculate the remainder when -5*(-3 - 66/f) is divided by o. 12 Let v(y) be the second derivative of -y**3/2 - 2*y**2 - 5*y. What is the remainder when (-1472)/(-128)*164/42 + 4/42 is divided by v(-9)? 22 Let m be 455/5 - (-3 + 0). Let s = m - 67. Suppose 5*k - 5*c = -6*c + 25, -5*c = -5*k + 55. Calculate the remainder when s is divided by k. 3 Let v be (-4)/6*(3 - 6). Suppose -13*k + 26*k - 169 = 0. What is the remainder when v - (-66)/(-2 - -4) is divided by k? 9 Suppose 9*w - 2580 = -6*w. Let t = w + -144. What is the remainder when 132 is divided by t? 20 Suppose 4*i - 5*f = 411, 0*i + 492 = 5*i + f. What is the remainder when i is divided by (-1)/(-26 - -21 - (-264)/53)? 46 Let a(i) = i**2 - 13*i - 114. Let t be a(-6). Suppose -4*q + 5*p + 129 = t, -5*p + 3*p + 150 = 4*q. What is the remainder when 128 is divided by q? 20 Suppose i + 14 = -4*y, -20 = i + i + 4*y. Calculate the remainder when 82 is divided by i*32/(-24) - 2. 4 Let a(j) = j**2 + 50*j - 95. Let v(u) = -10*u + 19. Let h(m) = 2*a(m) + 11*v(m). Let q = 116 - 44. What is the remainder when q is divided by h(5)? 15 Suppose -5*r - 3*h = -1646, -453 = -2*r + h + 190. Calculate the remainder when r is divided by 66. 61 Suppose -22*u + 41*u - 2016 = -17*u. What is the remainder when u is divided by 25? 6 Let m(w) = -w**3 + 3*w**2 - 19*w - 3. Let j be m(8). Let h = j + 733. Calculate the remainder when h is divided by 9. 6 Let b(o) = -425*o - 2588. What is the remainder when b(-11) is divided by 18? 17 Let i = 90 + -15. Suppose 69*k - 74*k = -i. Suppose 0 = -3*z + 130 - 46. Calculate the remainder when z is divided by k. 13 Let u(x) = -x**3 - 8*x**2 + 13*x + 48. Let c be u(-9). Suppose -3*d + 4*m = -222, -m + 296 = c*d - 8*d. Calculate the remainder when d is divided by 39. 35 Suppose 19*d + 1293 = 153. What is the remainder when
{ "pile_set_name": "DM Mathematics" }
v be i(-9). What is the second derivative of 25520*z**3 + v*z + 144*z**5 - 25520*z**3 wrt z? 2880*z**3 Let y(m) = -4815*m**4 + 24*m**2 + 828. Let v(r) = 1605*r**4 - 9*r**2 - 278. Let p(s) = -8*v(s) - 3*y(s). Differentiate p(n) with respect to n. 6420*n**3 Let r(h) be the third derivative of 0*h**3 + 47*h + 2*h**2 + 49/60*h**5 - 26/3*h**4 + 0. Find the second derivative of r(k) wrt k. 98 Let o(c) = 2*c + 1. Let n(j) = -55*j**2 + 2 + 11*j + 28*j**2 + 14*j**2. Let z(y) = n(y) - 2*o(y). What is the second derivative of z(q) wrt q? -26 Let w(x) = -3*x**3 - 51*x**2 - 20*x - 26. Let p be w(-17). Differentiate p - 93 - 38*z - 139 wrt z. -38 Let f(g) be the second derivative of -51*g**7/14 - 7*g**4/12 + g**3/3 + 2027*g**2 + g + 32. What is the second derivative of f(u) wrt u? -3060*u**3 - 14 Let a(n) = -12*n - 357. Let v(i) = i + 184. Let t(d) = 185. Let g(q) = -6*t(q) + 7*v(q). Let w(k) = 3*a(k) + 7*g(k). Find the first derivative of w(r) wrt r. 13 What is the first derivative of -2*c**2 + 54*c - 840 + 2838 + 3017*c**3 - 146*c + 91*c wrt c? 9051*c**2 - 4*c - 1 Find the first derivative of -116 + 1368*v - 2595*v + 1777*v + 5150*v wrt v. 5700 Suppose 5*p - 70 = -5*x, 0 = 6*p - 3*p - 2*x - 32. Find the second derivative of 84*n**3 + p - 21*n - 33*n**3 + 6 - 15 wrt n. 306*n What is the third derivative of 128*g**2 + 13*g**2 + 52*g**2 + 1480*g**5 + 154*g**2 - 25*g**2 wrt g? 88800*g**2 Let y(a) be the third derivative of -25*a**2 + 0 - 32/3*a**3 - 2*a + 0*a**6 + 0*a**4 + 1/3*a**5 - 1/70*a**7. What is the derivative of y(c) wrt c? -12*c**3 + 40*c Let n(s) be the second derivative of 358*s**4/3 + s**3/2 + 492*s**2 + 1575*s + 1. What is the second derivative of n(k) wrt k? 2864 Let u(p) be the first derivative of -6050*p**3/3 + 8085*p**2/2 - 4820. Find the second derivative of u(y) wrt y. -12100 Let g = 5684 + -5678. Let o(j) be the second derivative of 0*j**4 - 3/2*j**3 + 0*j**2 - 1/2*j**g + 0*j**5 - 16*j + 0. Find the second derivative of o(t) wrt t. -180*t**2 Let w(f) = -17*f**3 - 26*f**2 - 3376*f + 6. Let h(b) = -16*b**3 - 27*b**2 - 3368*b + 8. Let p(q) = -3*h(q) + 4*w(q). Find the second derivative of p(y) wrt y. -120*y - 46 What is the third derivative of 592*q**2 - 60*q**2 - 1 - 2497*q**3 - 49*q**2 + 229*q**2 wrt q? -14982 Let t(b) be the third derivative of 173*b**6/60 + 205*b**3 + 459*b**2. Differentiate t(p) with respect to p. 1038*p**2 Find the third derivative of 134*b + 23*b**6 - 823*b**6 - 126*b - 157*b**2 wrt b. -96000*b**3 Let l(n) be the second derivative of -n**6/5 + 19*n**5/20 - n**3/3 + 2633*n**2 - 549*n + 1. Find the first derivative of l(y) wrt y. -24*y**3 + 57*y**2 - 2 What is the third derivative of -3894*l**4 - 1132*l**2 + 10 - 61 - 2*l - 6 + 1135*l**2 wrt l? -93456*l What is the second derivative of -797*p**4 - 728*p**4 + 1045*p + 631*p - 468*p**4 wrt p? -23916*p**2 What is the third derivative of 16*o**2 - 2838*o**3 + 37*o + 22*o**2 - 45*o**2 + 3*o**2 + 21*o wrt o? -17028 Find the third derivative of 2*p**2 - 420*p**3 + 80 - 59 + p**2 + 7*p**2 wrt p. -2520 Let k(r) = -773*r**4 + 12*r**3 + r**2 + 5*r - 87. Let s(x) = 778*x**4 - 8*x**3 - 6*x + 88. Let i(w) = -2*k(w) - 3*s(w). Find the third derivative of i(j) wrt j. -18912*j Let v(h) = -29*h**3 - 89*h**2 - 3*h - 3705. Let q(c) = -24*c**3 - 88*c**2 - 2*c - 3706. Let s(f) = -6*q(f) + 5*v(f). What is the first derivative of s(t) wrt t? -3*t**2 + 166*t - 3 What is the first derivative of -5200*r - 510 + 5200*r + 2*r**2 + 117*r**3 wrt r? 351*r**2 + 4*r Let l(z) = -17*z**2 - 70*z - 4 - 62*z + 136*z - 79. Let y(v) = 2*v**2 + v. Let t(k) = -l(k) + 4*y(k). Find the first derivative of t(i) wrt i. 50*i Let q = -12 + 14. Suppose 5 = q*f - 7. What is the third derivative of f*t**3 - 326 + 326 - 4*t**2 wrt t? 36 Let o(h) = 10*h + 105. Let w(k) = 9*k + 103. Let f be 1 + -4 + (3 - -4). Let s(n) = f*w(n) - 3*o(n). What is the first derivative of s(b) wrt b? 6 Suppose -3*y + 11 = -4. What is the second derivative of -20*n**4 - 87*n**2 - n**y - 61*n + n**4 + 19*n**4 wrt n? -20*n**3 - 174 Suppose 2*l - 5*i + 230 = -3*l, -2*i = -5*l - 224. Let o = l - -51. Find the second derivative of -15*j - 4*j + o*j**2 + 20*j**2 + 4*j**2 wrt j. 62 What is the third derivative of 4*i + 7422*i**4 + 74 - 3*i + 3*i**2 + 27 - 1053*i**4 - 3156*i**4 wrt i? 77112*i What is the second derivative of -7*r - 5 - 622*r**5 - 4*r - 3*r + 13*r - 583*r**5 wrt r? -24100*r**3 Suppose 2*n - 36 = x - 6*x, 4*n - x = 28. What is the second derivative of 5 - 10*m + n*m - 60*m**2 + 7*m**3 + 22 - 4*m**3 wrt m? 18*m - 120 Let g(x) = -812*x**2 + 4*x - 329. Let j(o) = -64960*o**2 + 319*o - 26303. Let p(i) = 319*g(i) - 4*j(i). Differentiate p(m) wrt m. 1624*m Let g(m) be the first derivative of 5823*m**4/2 - 904*m**3/3 - m**2/2 - 3*m + 12279. Find the third derivative of g(d) wrt d. 69876 Suppose p = 5*p - 238836. What is the third derivative of 59*a**3 - p - 32*a - a**2 + 59709 wrt a? 354 Suppose -22*s + 15 = -73. Find the first derivative of -2*t**2 - 152*t**s - 8*t**2 + 148*t**4 + 58 wrt t. -16*t**3 - 20*t Let q(j) = -22*j - 1. Let f(b) = -4003*b + 2350. Let z(a) = -f(a) - 5*q(a). Differentiate z(u) wrt u. 4113 Find the second derivative of -5361*a + 180*a**5 - 300*a**4 - a**3 + 178*a**4 + 490*a**5 + 119*a**4 wrt a. 13400*a**3 - 36*a**2 - 6*a Let l(d) be the first derivative of d**6/3 + 232*d**3/3 + d**2/2 - 712*d - 202. Find the second derivative of l(k) wrt k. 40*k**3 + 464 Let u be (-1)/4 - (-5)/20. Suppose 0 = -67*y + 20*y + 235. What is the second derivative of u*q + 5*q - 4*q + q + 9*q**y wrt q? 180*q**3 Suppose -345*m = -333*m - 408. Let d be ((-26)/3)/(2/(-3)). Find the second derivative of 8*l**5 + d*l**5 + m*l - 35*l wrt l. 420*l**3 Suppose 9*u - 194 - 319 = 0. Let h = u - 55. What is the third derivative of -21*y**5 + 78*y**5 + 25*y**h - 17*y**5 - 28*y**5 wrt y? 720*y**2 What is the third derivative of 67 - 142*x**2 + 134*x**2 - 57 - 7491*x**6 + 5*x wrt x? -898920*x**3 What is the derivative of -457*i**2 - 63 - 280*i**2 + 5*i - 560*i**2 - 5*i wrt i? -2594*i Let h(l) = 2*l**3 + 3*l**2. Let q(o) = 2801*o**4 - 10*o**3 - 15*o**2 - 5046*o. Let p(c) = 5*h(c) + q(c). What is the second derivative of p(u) wrt u? 33612*u**2 Let h(q) be the second derivative of -40*q - 59/2*q**2 - 1/6*q**3 + 0*q**4 - 37/20*q**5 + 0. What is the first derivative of h(a) wrt a? -111*a**2 - 1 Let a(m) be the first derivative of -323*m**5 + 206*m**3 + 830. Find the third derivative of a(t) wrt t. -38760*t What is the second derivative of 2*i**2 - 380*i**3 - 1 + 40*i - 188*i + 1134*i**3 wrt i? 4524*i + 4 Let f(l) be the first derivative of 77*l**6/6 + 3*l**5/5 - 644*l**3/3 - l**2/2 + 189. Find the third derivative of f(u) wrt u. 4620*u**2 + 72*u Let u = -39 + 83. Differentiate u*h + 10 - 6 + 31 + 53*h with respect to h. 97 Let g(m) = m**4 - m**3 + 4*m**2 + 2*m. Let i(a) = -6*a**4 + 3*a**3 + 7*a**2 - 6*a + 265. Let l(t) = 6*g(t) + 2*i(t). Find the first derivative of l(k) wrt k. -24*k**3 + 76*k Suppose 42 = 8*c + 26. Find the second derivative of -337*z**2 - 55*z**2 + 177*z**c - 152*z wrt z. -430 Let o(p) = p**2 + 13*p - 8. Let j be o(3). What is the derivative of 13*g**4 - j*g**4 - 4*g**3 + 3*g**3 + 165 + 90 wrt g? -108*g**3 - 3*g**2 Let b(j) be the second derivative of -583*j**5/10 + 281*j**3/6 + 9*j**2/2 - 60*j + 35. Find the second derivative of b(t) wrt t. -6996*t Let q(v) = 2329*v**3 - 5*v**2 + 470*v. Let w(c) = -11634*c**3 + 24*c**2 - 2352*c. Let b(t) = -24*q(t) - 5*w(t). Find the second derivative of b(u) wrt u. 13644*u Let w(t) be the second derivative of -13*t**3/3 + 3*t**2/2 + 27*t. Let u be w(-1). What is the third derivative of 88*p**3 + u*p**5 - 27*p**2 - 88*p**3 wrt p? 1740*p**2 What is the third derivative of 0 + 97*i**3 + 58*i**2 - 33 + 36 + 550*i**3 wrt i? 3882 Let r(s) = -15641*s**2 - 136*s + 36. Let q(j) = -3910*j**2 - 34*j + 10. Let m(b) = 11*q(b) - 3*r(b). What is the second derivative of m(z) wrt z? 7826 Find the third derivative of -1 - 155*v**3 + 300*v**3 + 897*v**3 + 732*v**3 + 582*v**3 - 938*v**2 wrt v. 14136 Let y(i) be the first derivative of 124/3*i**3 + 65/2*i**4 + 0*i + 99 + 0*i**2. Find the third derivative of y(s) wrt s. 780 Let z = 24 - 22. Find the third derivative of 3*l**2 - l**2 - 21*l**6 - 124*l - 11*l - l**z wrt l. -252
{ "pile_set_name": "DM Mathematics" }
). -11 Suppose 1616 + 2164 = 210*q. Let o(z) = z**3 - 19*z**2 + 19*z - 20. What is o(q)? -2 Let w(i) = -8*i**2 + 0*i**2 + 47 + 124*i - 182*i - 34. Give w(-8). -35 Let h be (-8)/12*((-143)/22 - -5). Let v(t) = -61*t + 1 + 115*t - 75*t. Calculate v(h). -20 Suppose -205*b + 1170 = -166*b. Let i(o) = o**2 - 33*o + 64. What is i(b)? -26 Let h = 278 - 294. Let d be (-3)/4 - (108/h - 9). Let c(u) = u**2 - 14*u - 16. What is c(d)? -1 Let k be 4/26 - 154/(-13). Let z(l) = -k*l + 10*l**2 + 1 + 22*l + 8*l**2 - 9*l - 2*l. Calculate z(-1). 20 Let k(i) = -i**3 - i**2 + 6*i + 2. Let u(t) = -15*t - 38. Let a be u(4). Let w = a + 94. What is k(w)? 26 Let q(s) be the first derivative of 1/3*s**3 - 4*s**2 + 7*s - 11. Calculate q(8). 7 Suppose 48 = 115*h - 113*h. Let l(w) = h*w - 12 - 40*w + 19*w. What is l(8)? 12 Let t(g) = -2*g - 11. Let d be 9 - ((-6 - -9) + 0). Let w be (58/d)/1 - (-27)/81. Calculate t(w). -31 Let n = -283 - -316. Let p(j) = -n*j - 7 - 35*j + 69*j. Calculate p(8). 1 Let s(f) be the third derivative of -f**5/15 + 2*f**3/3 - 2*f**2 - 25. Give s(2). -12 Let p(g) be the first derivative of -29*g**2/2 + 12*g + 3705. Determine p(2). -46 Let s(l) = l**3 - 3*l**2 - 5. Let u be s(4). Let z(b) = -b - 6184*b**3 + 5*b**2 + 6183*b**3 + 6*b**2 + 4*b - 26. Calculate z(u). 7 Suppose 10 = -2322*o + 2332*o. Let f(u) = 15*u**2 + 5*u - 1. Let z(p) = -30*p**2 - 11*p + 2. Let y(s) = 13*f(s) + 6*z(s). Give y(o). 13 Let q(l) = -101*l**3 + 56 - 36*l**2 - 8*l + 102*l**3 + 30*l**2. What is q(6)? 8 Let c(s) be the first derivative of s**5/60 + s**4/24 - s**3/3 + 3*s**2 - 6. Let l(q) be the second derivative of c(q). Let n = -1932 - -1932. Determine l(n). -2 Let b = -15736 - -15741. Let w(v) be the first derivative of v**4/12 - 5*v**3/6 - 5*v**2/2 - 3*v + 1. Let l(d) be the first derivative of w(d). Determine l(b). -5 Suppose 4*t = -a + 9, -4*a + 3*t = 5*t + 6. Let g(h) = 28 + 3*h**2 - 32 - 26*h + h**3 + 26*h. Give g(a). -4 Let q(g) = 9 - 2480*g**2 + 1223*g**2 + 8*g - 2 + 1256*g**2. What is q(5)? 22 Let n(q) be the first derivative of q**3/3 - 6*q**2 - 13*q - 4. Let x be n(13). Let i(f) = 0*f + 2 - 2*f + x + 6. Give i(7). -6 Suppose 7*y + 279 = 216. Let v(h) = h + 20. Calculate v(y). 11 Let i = 5427 - 5431. Let o(c) = -c**3 + 8*c - 3. Determine o(i). 29 Let o(k) be the first derivative of k**4/4 - 8*k**3 + 11*k**2 + 49*k + 4819. Determine o(23). 26 Suppose g - 2 = -c, 3 = 4*c - 4*g + 3*g. Let t(x) = -7*x + 9. Give t(c). 2 Let i(t) = -7*t**3 - 18*t**2 + 6*t + 10. Let a(d) = d**3 + d**2 - d - 1. Let g be 1/((-5)/(4 + 1)). Let r(o) = g*i(o) - 6*a(o). Give r(-12). -4 Let s(x) = 2*x - 6. Let p be 2 + 0/4 + -23. Let y(l) = l**3 + 21*l**2 + l + 21. Let a be y(p). Let b be (4 - 1) + a + 2. What is s(b)? 4 Let r(y) = -24*y**2 + y. Let v be 2 + -3 - (-10 + 22)/(-6). What is r(v)? -23 Let x = 846 - 497. Suppose 2*q = q + x. Let z(u) = 5*u + 346 - q - 5*u - 4*u - u**2. Calculate z(-3). 0 Suppose 310 = -263*t + 273*t. Let f(d) = -d**3 + 30*d**2 + 31*d - 5. Calculate f(t). -5 Suppose 69*c - 198 = 28*c + 8*c. Let k(o) = -2*o**2 + o - 1. Determine k(c). -67 Let i(v) = v**3 + v + 1. Let s(p) = 4*p - 43. Let l be s(11). Let b(o) = 4*o**3 - 3*o**2 + 11*o + 7. Let h(g) = l*b(g) - 5*i(g). Give h(-4). -6 Let m be 5 + -5 - 7 - (-4 + 4). Let v(u) = -u**3 - 7*u**2 + 7*u + 38. Calculate v(m). -11 Let x(r) = r**2 + 7*r + 23. Let l(i) = 441*i + 3094. Let a be l(-7). Give x(a). 121 Let f(y) = 11 + 257*y**2 - 11*y**3 - 260*y**2 + 4*y + 10*y**3. Determine f(-3). -1 Suppose -q + 1 = 0, 5*q - 6 = 2*t - 3*t. Let k(a) = 161*a**2 + 10*a - 16. Let g(s) = -32*s**2 - 2*s + 3. Let d(m) = 11*g(m) + 2*k(m). Determine d(t). -31 Let a(x) = -84894 + 84891 - 103*x + 107*x. Suppose -24 - 26 = 5*h. Let b(z) = -z**3 - 10*z**2 + 4. Let v be b(h). Give a(v). 13 Let f(h) be the first derivative of -2*h**2 - 2/3*h**3 - 6*h + 195. Determine f(-4). -22 Let q(s) = s**3 + 4*s**2 + 3*s + 7. Let u be (((-144)/4)/(-12))/((-3 - -3) + -1). Determine q(u). 7 Let l(v) be the first derivative of v**3/3 + 13*v**2/2 - 20*v - 2. Let r(s) = -s**2 - 9*s + 176. Let k be r(-19). Calculate l(k). -6 Let t(r) = -r**2 - 2*r - 2. Suppose 0 = 5*d - 3*a - 35, 2*a + 18 = -2*d + 4*d. Suppose 99 = -d*m + h, 128 + 22 = -5*m - 4*h. Let o = -28 - m. What is t(o)? -2 Let o(q) = -4 - 6*q + q + 0 - q**2. Suppose 6*f = -79 + 91. Suppose -5*r + 17 = 7, -2 = f*x + 3*r. Calculate o(x). 0 Let j(r) = -r**2 + 9. Let h be j(-3). Let k(v) = 125 + h*v**2 - 126 + v + 6*v**2. Give k(1). 6 Let n(r) = -r**2 - 6*r. Suppose -132*a = -138*a + 6. Let j be 2/a - (-33 + 41). Determine n(j). 0 Let d(k) = k**3 + 6*k**2 - 7*k - 5. Let y(p) = -130*p - 1047. Let o be y(-8). Give d(o). -5 Let r(c) be the second derivative of c**4/2 - c**3/3 - c**2 + 2*c + 29. Determine r(-1). 6 Let w(b) = -13*b - 4. Let g be w(-1). Let h(p) be the third derivative of p**5/60 - 3*p**4/8 - 2*p**3 + 34*p**2. Give h(g). -12 Let c(t) = t**2 + 2*t - 49. Let l = -20660 + 20660. Calculate c(l). -49 Let q(k) be the third derivative of 1/24*k**4 - 2/15*k**5 + 13/6*k**3 + 0*k - 147*k**2 + 0 - 1/120*k**6. Determine q(-8). 5 Let w(v) = 4*v**3 - v**2 - 118*v + 120. Let h be w(1). Let t(m) = m**2 - 5*m - 3. Give t(h). -3 Suppose 8*a - 12*a = -16. Suppose a*n - t = -4*t + 10, -4*n + 5*t + 26 = 0. Let u(p) = 25 + 11*p**2 - n*p**2 - 21 + p**3 + 2*p + p. Determine u(-7). -17 Let m(q) = 17*q**3 - 116*q**2 - 19*q + 30. Let i be m(7). Let l(o) = -6*o**2 + 266*o - 88. Give l(i). 0 Let d(t) = -1 - 552*t**2 + 1106*t**2 - t**3 - 553*t**2. Let v(b) be the first derivative of b**3/3 - 6*b**2 + 11*b - 3. Let s be v(11). Calculate d(s). -1 Let s(d) be the third derivative of -d**5/30 + 3*d**4/8 - 2*d**3/3 - 2*d**2 - 246. Give s(6). -22 Let l(n) = 9*n**2 - 12*n - 27. Let f(a) = -16*a**2 + 23*a + 52. Let i(r) = 4*f(r) + 7*l(r). Determine i(10). -1 Suppose n - 2*a = 13, 5*n - 42 = 4*a - 1. Let t(z) = -z**3 + 2*z**2 - 7*z + 11. Calculate t(n). -99 Let a(j) = -3*j - 3. Let l be 3/(-4 + -5 + 3 - (0 + -5)). What is a(l)? 6 Suppose -2*j - 5*u + 7 = 0, -4*j = u - 8 + 3. Suppose o - c - j = c, -4 = -c. Let s(v) = v**3 - 9*v**2 + v - 6. What is s(o)? 3 Let l = 14447 + -14448. Let q(d) = 18*d - 5. Determine q(l). -23 Let l = -127 - -129. Let k(i) = 2*i**3 + 7*i - 2*i**l + 1 - 3*i**3 - 3*i - 2*i**2. What is k(-5)? 6 Let f(z) = z**2 + 8*z. Suppose -9*h + 2*h + 595 = 0. Suppose 7 = h*w - 86*w. Calculate f(w). -7 Let h = 3452 + -3442. Let i(g) = -g**2 + 9*g + 16. Calculate i(h). 6 Let n(r) be the second derivative of -r**5/60 + 7*r**3/6 - 227*r**2/2 + 100*r. Let x(i) be the first derivative of n(i). Calculate x(0). 7 Suppose 37*n - 38*n = -3. Let j(m) = m**n - 22*m**2 + 14*m**2 - 38*m - 1 + 75*m - 36*m. Give j(8). 7 Let h(g) = -g + 34. Let p(k) = 4*k - 97. Let b(i) = -11*h(i) - 4*p(i). Give b(22). -96 Let g be (-24)/(-9)*6/2. Suppose 72 = 5*i - g. Suppose y = -3*y - i, w - 15 = 2*y. Let d(t) = t**2 - 8*t + 2. What is d(w)? -5 Let w(v) = 5*v**2 + 83*v + 53. Let b be w(-16). Let y(g) = -g**2 - 10*g + 11. Give y(b). -64 Let l be (2 - -6)*(-3)/(-2). Let w be (-1*7)/((-12)/l). Let q(g) = w - 3 - 5*g + 4*g. Determine q(5). -1 Suppose -3*v + f = -26, -4*f - 4 = 4*v + 4. Let n(z) = -z**2 + 4*z + 20. Calculate n(v). 8 Suppose -6*l - 4*w = -2*l - 312, 3*l - 234 = -5*w. Let b = l - 73. Let g(c) = -b - 11*c**3 + 14*c**3 + 3*c + 3 - 2*c**3. Give g(2). 12 Let t(h) be the first derivative of 13*h**2 + 191*h - 5073. Give t(-8). -17 Let w be 0*((-9)/(-6) + -2). Suppose -2*q = 4*v - 4, -3*q - 5*v + 10 = -1. Let f(a) = -q - 1567*a + a**2 + a**3 + 1567*a. Determine f(w). -12 Let y(d) = 3*d**2 + 50*d + 6. Let g(k) = -4*k**2 - 60*k - 14. Let r(f) = -4*g(f) - 5*y(f). Determine r(5). 1 Let y(t) = 4*t - 40. Let i be ((-5)/(44 + -29))/(-2 + (-31)/(-15)). What is y(i)? -60 Let u(j) = -28*j - 136. Let v be u(-5). Let z be 2/v*-3*(4 - -2). Let g(p) = p**2 + 11*p + 22. Calculate g(z). 4 Let z(q) = -7 + 5 - 4*q**2 + 6*q + 5 + 3*q**2. Determine z(-2). -13 Let d(u) = 1163*u**2 - 22*u**3 - 2*u + 3 - 1155*u**2 + 23*u**3. Give d(-7). 66 Suppose -59*n - 4 = -11*n - 100. Let z(u) = 17*u**3 - 14*u**2 + 8*u - 5. Let o(c) = -6*c**3 + 5*c**2 - 3*c + 2. Let f(p) = -11*o(p) - 4*z(p). What is f(n)? -12 Let n(z) be the first derivative of z**5/120 + z**4/6 - 68*z**3/3 - 2*z - 135. Let
{ "pile_set_name": "DM Mathematics" }
in 498000.24 nanoseconds? 0.0000001383334 What is 417454.5 kilometers in centimeters? 41745450000 What is 978038.9ug in grams? 0.9780389 What is thirty-three fifths of a second in milliseconds? 6600 What is 0.7024296ml in litres? 0.0007024296 What is thirty-four fifths of a millennium in months? 81600 Convert 867.576 years to centuries. 8.67576 What is 225.59936 days in weeks? 32.22848 How many micrograms are there in 17/2 of a milligram? 8500 What is fourty-six fifths of a litre in millilitres? 9200 Convert 737.8969 micrograms to nanograms. 737896.9 What is 8/7 of a week in days? 8 Convert 69394.06 tonnes to milligrams. 69394060000000 How many nanograms are there in 667.2929 micrograms? 667292.9 What is 96.26916ug in grams? 0.00009626916 Convert 0.75995t to nanograms. 759950000000000 How many hours are there in 5408.852 weeks? 908687.136 How many millilitres are there in fifty-one quarters of a litre? 12750 What is 61.0746 millilitres in litres? 0.0610746 How many minutes are there in 32/5 of a day? 9216 What is 1757.0091us in minutes? 0.000029283485 How many nanometers are there in twenty-one fifths of a micrometer? 4200 What is 1/5 of a decade in years? 2 How many seconds are there in 25/8 of a hour? 11250 Convert 21.48379 milligrams to tonnes. 0.00000002148379 What is 46/5 of a second in milliseconds? 9200 How many millimeters are there in twenty-seven halves of a centimeter? 135 Convert 0.3639839cm to millimeters. 3.639839 Convert 0.3782887l to millilitres. 378.2887 What is fourty-two fifths of a milligram in micrograms? 8400 What is 60.0701 micrometers in nanometers? 60070.1 How many tonnes are there in 0.5062887kg? 0.0005062887 How many micrometers are there in 491197.9 nanometers? 491.1979 What is one fifth of a meter in millimeters? 200 What is 1/4 of a century in years? 25 What is 7838.047ml in litres? 7.838047 How many microseconds are there in 37.67821 hours? 135641556000 What is 954.1554 millilitres in litres? 0.9541554 What is 892834.3 minutes in nanoseconds? 53570058000000000 Convert 7215.555ml to litres. 7.215555 What is 1/15 of a minute in milliseconds? 4000 How many seconds are there in 3/50 of a hour? 216 What is 11/4 of a week in minutes? 27720 What is 0.9554035ml in litres? 0.0009554035 How many grams are there in 5/4 of a kilogram? 1250 How many decades are there in one fifth of a millennium? 20 Convert 36.93685 centuries to millennia. 3.693685 How many millimeters are there in 6646.547km? 6646547000 How many seconds are there in four fifteenths of a hour? 960 How many centimeters are there in 99698.22mm? 9969.822 How many nanometers are there in 27/5 of a micrometer? 5400 How many kilometers are there in 137068.1nm? 0.0000001370681 How many meters are there in 47.62783 kilometers? 47627.83 Convert 24.6029 millennia to months. 295234.8 How many months are there in 10/3 of a century? 4000 What is nine tenths of a micrometer in nanometers? 900 What is 3.7157139 minutes in days? 0.002580356875 What is 62/3 of a year in months? 248 What is 55/4 of a gram in milligrams? 13750 How many millilitres are there in 1/5 of a litre? 200 What is twelve sevenths of a week in hours? 288 What is twenty-six fifths of a meter in centimeters? 520 What is seventy-five halves of a litre in millilitres? 37500 What is 26/5 of a milligram in micrograms? 5200 How many milligrams are there in 0.220937 tonnes? 220937000 How many millilitres are there in five eighths of a litre? 625 What is 94408.62 centimeters in micrometers? 944086200 What is 852.4833ml in litres? 0.8524833 How many micrograms are there in 61/2 of a milligram? 30500 Convert 198.4203um to kilometers. 0.0000001984203 What is 97.2303 millimeters in micrometers? 97230.3 What is 31/5 of a litre in millilitres? 6200 How many millennia are there in 90.45658 years? 0.09045658 What is 13/5 of a millennium in decades? 260 How many centimeters are there in 657278.7nm? 0.06572787 What is 57412.56cm in millimeters? 574125.6 What is 88384.67 millilitres in litres? 88.38467 How many years are there in thirteen quarters of a millennium? 3250 How many millennia are there in 1996188.3 months? 166.349025 How many kilograms are there in 0.329754mg? 0.000000329754 What is 955494.5 years in centuries? 9554.945 How many tonnes are there in 16179.9 kilograms? 16.1799 How many grams are there in fourty-one halves of a kilogram? 20500 Convert 2.77351 years to millennia. 0.00277351 Convert 174.3979 nanometers to micrometers. 0.1743979 What is 1.856l in millilitres? 1856 What is 1462.455 kilograms in micrograms? 1462455000000 Convert 5784.5682ms to hours. 0.0016068245 What is seven sixteenths of a day in seconds? 37800 How many micrograms are there in 783.154mg? 783154 What is 6/25 of a kilometer in centimeters? 24000 What is 11/4 of a kilogram in grams? 2750 Convert 713.8308cm to nanometers. 7138308000 How many micrometers are there in 21/4 of a millimeter? 5250 What is 0.381651 millilitres in litres? 0.000381651 What is 69764.359 days in weeks? 9966.337 What is 37/2 of a litre in millilitres? 18500 Convert 0.8502233 millennia to decades. 85.02233 What is 92.29635 seconds in nanoseconds? 92296350000 Convert 0.7886294um to centimeters. 0.00007886294 How many micrometers are there in three fifths of a centimeter? 6000 What is seven thirds of a hour in seconds? 8400 What is 406.175 nanograms in kilograms? 0.000000000406175 What is 58921.95ml in litres? 58.92195 What is 29.13574 millilitres in litres? 0.02913574 What is fourty-nine fifths of a minute in seconds? 588 What is 34/5 of a centimeter in millimeters? 68 Convert 9.474216 decades to years. 94.74216 How many kilograms are there in 33/5 of a tonne? 6600 How many kilometers are there in 0.2390248 nanometers? 0.0000000000002390248 How many days are there in 195923.286ns? 0.000000002267630625 How many centimeters are there in 1/4 of a meter? 25 How many millennia are there in 109390.02 months? 9.115835 How many millilitres are there in 42/5 of a litre? 8400 How many months are there in 1/5 of a century? 240 Convert 969570.6kg to nanograms. 969570600000000000 What is 77/2 of a tonne in kilograms? 38500 How many micrometers are there in eleven halves of a centimeter? 55000 How many millilitres are there in 0.2258766l? 225.8766 How many millilitres are there in 29/5 of a litre? 5800 How many grams are there in 67.50958kg? 67509.58 Convert 68623.05cm to meters. 686.2305 Convert 0.1856663l to millilitres. 185.6663 What is eleven quarters of a litre in millilitres? 2750 How many milligrams are there in 34.26194 grams? 34261.94 What is 13.4264277us in weeks? 0.00000000002219978125 What is seven thirds of a century in months? 2800 What is 5168.866ml in litres? 5.168866 How many hours are there in 383568.39us? 0.000106546775 What is nineteen quarters of a litre in millilitres? 4750 How many grams are there in 4421.566 kilograms? 4421566 How many micrometers are there in 9/16 of a centimeter? 5625 How many hours are there in 37511.199 seconds? 10.4197775 Convert 31975.825 days to weeks. 4567.975 How many micrograms are there in one tenth of a milligram? 100 What is 127.3479kg in tonnes? 0.1273479 How many milliseconds are there in twenty-one fifths of a second? 4200 What is fourty-one halves of a hour in seconds? 73800 How many litres are there in 821.308 millilitres? 0.821308 What is 1/80 of a hour in milliseconds? 45000 What is 5/4 of a litre in millilitres? 1250 How many minutes are there in sixty-three eighths of a day? 11340 What is 549539.5 weeks in nanoseconds? 332361489600000000000 How many millilitres are there in twenty-one quarters of a litre? 5250 How many millilitres are there in 55/2 of a litre? 27500 What is 74331.18 years in months? 891974.16 How many nanoseconds are there in 82.70632 days? 7145826048000000 How many millilitres are there in 533.497l? 533497 What is 3/25 of a microgram in nanograms? 120 How many nanograms are there in 3/32 of a milligram? 93750 What is 61/2 of a litre in millilitres? 30500 How many months are there in twenty-five quarters of a decade? 750 What is three fifths of a millennium in months? 7200 How many months are there in four thirds of a decade? 160 How many meters are there in 472764.4km? 472764400 What is seventy-fi
{ "pile_set_name": "DM Mathematics" }
w: 3, v: 1, t: 2, s: 6}. What is prob of picking 1 s, 1 p, 1 v, and 1 w? 18/715 Calculate prob of picking 2 z when two letters picked without replacement from iiiiiiiiziiiiiziii. 1/153 Calculate prob of picking 3 u when three letters picked without replacement from uuquuunqsq. 1/12 Calculate prob of picking 2 b when two letters picked without replacement from {b: 4}. 1 What is prob of picking 3 v and 1 l when four letters picked without replacement from {l: 4, t: 4, v: 6}? 80/1001 Three letters picked without replacement from {y: 4, r: 2, g: 3}. What is prob of picking 1 y and 2 r? 1/21 What is prob of picking 3 c when three letters picked without replacement from ccccccc? 1 What is prob of picking 1 p and 1 g when two letters picked without replacement from ppppjgpppspnppjssp? 11/153 Calculate prob of picking 2 b, 1 s, and 1 r when four letters picked without replacement from sbbrrob. 6/35 What is prob of picking 4 h when four letters picked without replacement from {a: 5, h: 11}? 33/182 What is prob of picking 1 o and 1 e when two letters picked without replacement from fefodffof? 1/18 Two letters picked without replacement from {f: 2, z: 16}. What is prob of picking 2 f? 1/153 What is prob of picking 2 r, 1 l, and 1 n when four letters picked without replacement from lrrnlrlrlprrlrnrnr? 3/17 Three letters picked without replacement from {y: 11, d: 1, t: 6}. Give prob of picking 1 y, 1 t, and 1 d. 11/136 Four letters picked without replacement from cnknknnknnckncncnkkn. Give prob of picking 4 c. 1/4845 What is prob of picking 2 q when two letters picked without replacement from qqkqkqkkkkkqqqqkkqkk? 18/95 Three letters picked without replacement from {h: 3, e: 1, s: 2, m: 6}. What is prob of picking 3 h? 1/220 What is prob of picking 3 z when three letters picked without replacement from {z: 4}? 1 What is prob of picking 4 r when four letters picked without replacement from {t: 2, r: 1, f: 2}? 0 Calculate prob of picking 2 r when two letters picked without replacement from jurjrujcuujucjucjjj. 1/171 Two letters picked without replacement from iqqqxqxqqqqqiqq. What is prob of picking 2 i? 1/105 Four letters picked without replacement from {z: 2, p: 1, m: 3, w: 1}. Give prob of picking 1 z and 3 m. 2/35 Calculate prob of picking 3 v and 1 j when four letters picked without replacement from {v: 9, n: 1, x: 1, j: 2}. 168/715 Four letters picked without replacement from {g: 3, o: 3, z: 3, y: 3}. Give prob of picking 3 y and 1 z. 1/165 Calculate prob of picking 1 b, 2 i, and 1 u when four letters picked without replacement from {p: 2, e: 1, i: 3, b: 1, u: 4}. 2/55 What is prob of picking 2 j, 1 p, and 1 y when four letters picked without replacement from jjpvy? 1/5 Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, e: 1, d: 8, c: 2}. 1/12 Two letters picked without replacement from xxxxxxxxxxxxxkkxkxk. Give prob of picking 1 x and 1 k. 20/57 Two letters picked without replacement from ooooqqoqoooooooo. What is prob of picking 2 q? 1/40 Calculate prob of picking 2 r, 1 s, and 1 t when four letters picked without replacement from {r: 5, t: 2, a: 1, s: 1, q: 1}. 2/21 Two letters picked without replacement from dpsps. Give prob of picking 1 p and 1 d. 1/5 Two letters picked without replacement from gjjgjj. Give prob of picking 1 g and 1 j. 8/15 Four letters picked without replacement from {e: 2, x: 1, c: 2}. What is prob of picking 1 x, 2 c, and 1 e? 2/5 What is prob of picking 1 p, 1 v, and 1 j when three letters picked without replacement from usupuvuuuvjujjj? 8/455 Two letters picked without replacement from {a: 2, r: 1, n: 2, i: 2, v: 5, g: 5}. Give prob of picking 1 v and 1 g. 25/136 Two letters picked without replacement from yjjtfjjjffjfjfxfxll. Give prob of picking 1 j and 1 f. 14/57 What is prob of picking 1 a and 1 d when two letters picked without replacement from zjead? 1/10 Three letters picked without replacement from {p: 1, d: 6, l: 3, w: 1, g: 3, y: 4}. What is prob of picking 1 p, 1 g, and 1 w? 1/272 Calculate prob of picking 2 w, 1 n, and 1 d when four letters picked without replacement from qwwjqnqjndfwqjqjnq. 1/340 What is prob of picking 1 q and 1 s when two letters picked without replacement from {n: 1, l: 1, s: 1, p: 6, q: 1, r: 1}? 1/55 Four letters picked without replacement from xhhxhxxxxxhxxxhhhxx. What is prob of picking 4 x? 165/1292 What is prob of picking 1 e and 1 o when two letters picked without replacement from {x: 1, a: 1, o: 1, g: 2, e: 2}? 2/21 What is prob of picking 2 b when two letters picked without replacement from bbbbbxxx? 5/14 Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mnhn. 1/6 What is prob of picking 2 q when two letters picked without replacement from {n: 1, q: 2, p: 2}? 1/10 What is prob of picking 1 t and 1 a when two letters picked without replacement from {h: 2, a: 1, t: 2, n: 4, b: 5}? 2/91 What is prob of picking 1 v and 1 s when two letters picked without replacement from {d: 1, c: 2, s: 1, v: 2}? 2/15 What is prob of picking 1 a, 1 w, and 1 p when three letters picked without replacement from swwvpca? 2/35 Calculate prob of picking 2 e and 2 d when four letters picked without replacement from eevevvdyddd. 3/55 Calculate prob of picking 2 e and 2 q when four letters picked without replacement from {e: 2, y: 1, q: 3, p: 1}. 3/35 Two letters picked without replacement from {c: 2, b: 4, k: 4}. What is prob of picking 2 k? 2/15 What is prob of picking 1 i and 3 j when four letters picked without replacement from jjjjijjxj? 5/18 Two letters picked without replacement from {c: 4, g: 2, p: 2, b: 1, z: 1, t: 2}. What is prob of picking 1 g and 1 z? 1/33 Four letters picked without replacement from {i: 3, j: 2}. Give prob of picking 1 j and 3 i. 2/5 Calculate prob of picking 1 v, 2 x, and 1 t when four letters picked without replacement from uuvxxuhut. 1/126 What is prob of picking 1 l and 3 u when four letters picked without replacement from {l: 1, u: 11}? 1/3 What is prob of picking 3 n and 1 c when four letters picked without replacement from {c: 3, h: 4, n: 4}? 2/55 Two letters picked without replacement from {z: 4, i: 1, b: 4, f: 3, n: 2, h: 1}. What is prob of picking 1 i and 1 n? 2/105 Four letters picked without replacement from mmjmjmjm. What is prob of picking 3 m and 1 j? 3/7 Four letters picked without replacement from zzzz. What is prob of picking 4 z? 1 Two letters picked without replacement from {n: 2, g: 13, j: 5}. Give prob of picking 2 g. 39/95 Two letters picked without replacement from wrmmmqmmxw. What is prob of picking 1 w and 1 r? 2/45 Calculate prob of picking 2 s when two letters picked without replacement from {s: 1, a: 1, i: 1}. 0 What is prob of picking 1 t and 2 h when three letters picked without replacement from {h: 8, t: 2, b: 2}? 14/55 What is prob of picking 1 f and 3 w when four letters picked without replacement from rwwwuwfwrurrrwww? 2/65 Calculate prob of picking 1 x and 1 s when two letters picked without replacement from sxxseesks. 2/9 Two letters picked without replacement from vvuuuuuvuuvuv. What is prob of picking 1 u and 1 v? 20/39 Two letters picked without replacement from {x: 6, s: 5, v: 2}. Give prob of picking 2 s. 5/39 What is prob of picking 3 i when three letters picked without replacement from {r: 1, w: 2, k: 5, i: 4, u: 2}? 1/91 Four letters picked without replacement from {u: 1, f: 1, r: 4, s: 3, v: 2, t: 1}. What is prob of picking 1 f, 1 u, 1 s, and 1 r? 4/165 Calculate prob of picking 3 a and 1 n when four letters picked without replacement from ncacn. 0 Two letters picked without replacement from lululllllllu. What is prob of picking 1 u and 1 l? 9/22 Two letters picked without replacement from klyyykjjmjjyk. What is prob of picking 2 k? 1/26 Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, z: 3, e: 2}. 7/22 What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqiqqqqqq? 4/5 Four letters picked without replacement from {p: 8, y: 4, w: 2, o: 2}. What is prob of picking 3 p and 1 y? 8/65 What is prob of picking 1 w and 1 k when two letters picked without replacement from {a: 1, k: 1, w: 1, e: 1, u:
{ "pile_set_name": "DM Mathematics" }
-65)/15)? 6 Let y = -286 - -278. Let j(r) = 8*r**2 - 60*r + 6. What is the hundreds digit of j(y)? 9 Suppose -33*r = 18487 + 31211. Let j = -483 - r. What is the units digit of j? 3 Suppose 1909 = 5*y - 491. What is the units digit of y - (7 + -2 - 13/13)? 6 Let s = 2380 + -1821. What is the tens digit of s? 5 Let i(v) = 95*v + 59. Let h(x) = 192*x + 120. Let w(l) = 3*h(l) - 7*i(l). What is the tens digit of w(-13)? 0 Let t = 114 - 109. Suppose -n = -3*n + 2*u + 2, -2*u + 19 = 5*n. Suppose -n*h = t*h - 160. What is the units digit of h? 0 Let y = 6108 - 188. What is the hundreds digit of y? 9 Let q be ((4 - 4)/(-3) - 3) + 21. What is the units digit of (q/(-4))/(4/(-8) - 0)? 9 What is the tens digit of (-25280)/(-10) + -6 - -1*(-4 - -6)? 2 Suppose -r - 1 - 1 = 4*j, 4*j = -2*r + 4. What is the tens digit of ((-32)/40)/(r/(-1185))? 5 Let f be (-3 - -1) + 1 + -7. Let d be 17 + 6/(0 + f/(-4)). Suppose -2*h + 64 = d. What is the tens digit of h? 2 Suppose -5*s - 5*j = 370, -3*s - 28 - 195 = 4*j. Let d = 80 + s. Suppose 9*k - 16 = -d. What is the units digit of k? 1 Suppose 2*d + 2*y = -1312, 4*y - 3262 = 18*d - 13*d. Let c = -154 - d. What is the units digit of c? 0 Let i(x) = -2*x - 2*x**3 - 4*x**2 - 7*x**2 + 3*x**2 + 0*x**2 - 10. What is the units digit of i(-8)? 8 Let u(a) = 58*a - 221*a - 591*a + 141 - 173. What is the units digit of u(-1)? 2 Let q(b) = b**3 - 10*b**2 + 3*b - 22. Let n be q(10). Suppose 175 = n*k - 113. Suppose -k*u + 41*u = 60. What is the units digit of u? 2 Let y be 6/(-3)*90/(-36). Suppose 5*w = -25, y*q - 1325 = w + 4*w. What is the tens digit of q? 6 Let n(p) = -p**3 - 44*p**2 - 62*p - 71. What is the tens digit of n(-43)? 4 Let m(t) = -1. Let l(k) = 98*k + 4. Let y(r) = l(r) - 2*m(r). Let w be y(2). Let h = -63 + w. What is the tens digit of h? 3 Let u(m) = 154*m**2 - 1. Let d be u(1). Suppose d = -3*g - 561. What is the units digit of 4*5/(-40)*g? 9 Let n(a) = -1079*a - 1029. What is the units digit of n(-5)? 6 What is the ten thousands digit of 246181/13 + -4 - -14? 1 Suppose -13*y + 20 = -18*y. Let t(u) = 25*u**2 - 11*u - 68. What is the tens digit of t(y)? 7 Let w = 12650 - 7555. What is the hundreds digit of w? 0 Let a be 535488/40 + (-12)/10. What is the tens digit of 12/32 - (a/16)/(-1)? 3 What is the hundreds digit of 7529/1 + (9 - (-15 + 27))? 5 Suppose -34*d + 10 = -29*d. Suppose -14 = 4*z - d, -4*t = -z - 695. What is the units digit of t? 3 Let u(m) = -m**3 + 13*m**2 + 17*m - 56. Let b be u(7). Let c = b - -151. What is the hundreds digit of c? 5 Let c be (-1 + 3)*-2 + 31. Suppose 0 = -23*v + c*v - 5352. What is the thousands digit of v? 1 Suppose 4*f + 0*f - 16 = 0, 22736 = 4*u + 5*f. What is the tens digit of u? 7 What is the hundreds digit of (10/2 + -648)/(3/(-27))? 7 Let q(x) = -x**2 + 22*x + 27. Let c be q(23). Suppose 3*y = c*y - 5. Suppose -y*p - 188 = -9*p. What is the units digit of p? 7 What is the tens digit of (-4)/8*-404*(7 - 54/9)? 0 Let f = 584 - -178. Suppose -4*h - f = -5*v + 1458, 3*v + h = 1332. What is the units digit of v? 4 Let t(w) = -43*w**3 + w**2 + 2*w + 1. Let z be (-7)/(-28)*6*-2. What is the hundreds digit of t(z)? 1 Suppose -2*g - 2*x = -3*g - 15, -5*x = 3*g + 34. Let j(p) = 7*p + 5*p**2 - 7*p**2 + p**3 - 5 + 16*p**2 - 7. What is the tens digit of j(g)? 6 Let w = 187 + -61. Let i(x) = -x**2 + x + 177. Let l be i(0). Let a = l - w. What is the tens digit of a? 5 Let u be ((-20)/(-70))/((-2)/(-28)). Let g be (-1 - (u - 1)) + (-191)/(-1). Suppose 5*v - g = 4*v. What is the tens digit of v? 8 Let m(j) = 505*j**2 + 156*j + 638. What is the units digit of m(-4)? 4 Suppose -124*u + 1089762 = -11*u - 26*u. What is the tens digit of u? 2 Suppose 210*s = 107*s + 105*s - 23612. What is the hundreds digit of s? 8 Let l(t) be the third derivative of 0 + 0*t + 1/24*t**4 + 13/3*t**3 + 16*t**2. What is the tens digit of l(-16)? 1 Suppose -4*b + 1999 = 4*s - 5401, -4*s - 3*b = -7397. What is the tens digit of (-12)/16 + s/4? 6 Suppose 35*a - 4*j = 36*a - 7048, -2*j - 35130 = -5*a. What is the units digit of a? 8 Suppose 41*o = 39*o - 72. Let d be 8/(160/o)*-10. Suppose -4099 + 1075 = -d*g. What is the units digit of g? 8 Let g(v) = 2*v + 8. Let m be g(-6). Let r be 1/m*(-2 + -2). What is the tens digit of 12 + r + -4 - -4? 1 Let j = -18 + 22. Suppose j*y + 0 - 8 = 0. Suppose 5*r - 722 = 4*h, -5*r + 734 = -y*h + 4*h. What is the units digit of r? 6 Suppose 0 = -2*c + 4*l + 28, -4*c + 11 + 35 = -3*l. What is the tens digit of 4026/c + 30/75? 0 Let f = -510 - -837. Suppose -10*o - 283 = f. Let d = o + 148. What is the units digit of d? 7 Suppose 2*g - 3*z + 73 = 0, 0*z + 2*z = -g - 40. Suppose -2*o = -66 - 32. Let h = o + g. What is the units digit of h? 1 Suppose 0 = 66*u - 55*u - 14531. What is the tens digit of u? 2 Suppose -8 = -4*m - 4. Let o(g) be the second derivative of 15*g**4/2 + 2*g**3/3 - g**2 + 20*g. What is the units digit of o(m)? 2 Let x(z) = -z**3 - 17*z**2 - 8*z - 3. Let p be x(-17). Let j = 41 + -82. Let v = p + j. What is the tens digit of v? 9 Suppose -3*b + 5*i + 23 + 12 = 0, b = -3*i + 35. Suppose -15*u = -b*u - 135. Let a = 37 + u. What is the units digit of a? 0 Let h = 1863 - 536. What is the hundreds digit of h? 3 Let z(g) = g**2 - 4*g - 8. Let r be z(-2). Let m be (-1 + 0 - r) + 2. Let v(y) = 2*y**2 + 5*y + 4. What is the units digit of v(m)? 7 Let g = 66 - 63. Suppose 0 = 3*a, -2*a + 10 = -u + g*u. Suppose h + 344 = 5*h - 4*q, -5*h - u*q + 420 = 0. What is the tens digit of h? 8 Suppose 18*h = 17*h + 128. Let w = -122 + h. Suppose 0 = -w*c + 88 + 1532. What is the units digit of c? 0 Suppose -392*y + 394*y - 4 = 0. Let q = 110 - -221. Suppose 5*v = -4*w + q, w - 5*w = -y*v - 338. What is the tens digit of w? 8 Suppose -155339 = 463*b - 467*b - j, 0 = b - j - 38841. What is the hundreds digit of b? 8 Suppose -9*h + 5511 = -36600. What is the hundreds digit of h? 6 Suppose -4*j - 3 - 61 = -f, -3*j + f = 49. Let o be j/10*(5 - 1). What is the units digit of (-2 - (-28)/o)*288/(-40)? 8 Suppose 0 = -2*f - f + 63. Suppose 0 = 15*s - f*s + 3444. What is the units digit of s? 4 Let a(d) = -90*d + 2316. What is the hundreds digit of a(-5)? 7 Let p = 14403 - 11433. What is the hundreds digit of p? 9 Let a(z) = 18*z**2 - 3*z - 32. Let t be ((126/(-6))/(-7))/(1/2). What is the units digit of a(t)? 8 Let o = -3518 - -8984. What is the hundreds digit of o? 4 What is the tens digit of ((-10 - -5)*25)/(-1)? 2 Let c(f) = -5*f + 73. Suppose 2*g - 65 = t, -5*t + 0*t = -3*g + 115. Let l = -30 + g. What is the units digit of c(l)? 3 Let o = -42910 - -64584. What is the tens digit of o? 7 Let s be 440/(((-40)/(-25))/4). Suppose 935 = 11*h - s. What is the units digit of h? 5 Let s = 2805 + 4652. What is the thousands digit of s? 7 Let k be 12/(-2) - -5*(-18954)/65. What is the units digit of (k/(-18))/(-4)*-45? 5 Suppose -10*y - 78 = -8*y. Let t be (y - -34) + 1*5. Suppose -5*z - h + 822 = t, 324 = 5*z - 3*z - 2*h. What is the tens digit of z? 6 Let n(c) = -c + 8. Let q be n(5). Let a be ((-33)/9 + q)*-192. Let v = a - 47. What is the tens digit of v? 8 Let i(d) = -d**2 - 8*d + 1. Let c be i(-7). What is the units digit of (c/16)/(1/(-4)) + 271? 9 Let k be (-10)/3 - (2 + (-30)/9). Let l(i) = -2*i**3 + 4*i. Let t be l(k). Suppose -t = -2*m, -177 = -4*h - 3*m + 567. What is the units digit of h? 3 Let z = -3065 + 3589. What is the units digit of z? 4 Suppose -3*u = 5*d - 18 - 9, 13 = -d + 4*u. Let c be (-250)/(-4) - (-1)/(-2). Suppose 49 = l - 7*z + d*z, 2*l + z = c. What is the units digit of l? 3 Suppose -1 = 3*o - 25. Suppose z - o = -3*z. Suppose 240 = m + z*m. What is the tens digit of m? 8 What is the tens digit of (-1 + -3)/((-1)/33974*8)? 8 Suppose -21*o + 4*w = -23*o + 19488, -2*o + 19488 = 5*w. What is the tens digit of o? 4 Suppose -8*g + 32*g - 31996 = 5*g. What is the thousands digit of g? 1 Let f be (10 - 16)*6/(-4). Let t be (2 - 24/f) + (-852)/(-9). Let h = 62 + t. What is the units digit of h? 6 Let u(q) be the third derivative of q**6/120 - q**5/10 - q**4/24 + 113*q**3/3 - 139*q**2. What is the units digit of u(0)? 6 Let u be (4 - -4 - -56) + 7. Let c = u + 274. What is the hundreds digit of c? 3 Let a(g) = 1020*g + 3033. What is the tens digit of a(17)? 7 Let q be 17 +
{ "pile_set_name": "DM Mathematics" }
Is (-4)/22 - 1636/f a composite number? False Is (-1)/4 - (-425469)/132 prime? False Suppose 13*t + 19566 = 31*t. Is t a composite number? False Let z = -6687 + 18538. Is z composite? True Let r = 11441 + -2070. Is r composite? False Let r(d) = -107*d + 331. Is r(-24) composite? True Suppose 4*x - 8*x + 404 = 0. Suppose 4*q - x = -3*f + 3*q, 2*q = 10. Suppose 0 = -2*p, 65 + f = k + 5*p. Is k a composite number? False Let j = -15 + 16. Let k be (-2672)/(-64) - j/(-4). Let b = 187 - k. Is b composite? True Suppose -8*i + 7861 = 2253. Is i composite? False Suppose -157 = 3*u + 1511. Let f = 1010 + u. Is f prime? False Let p = 1 + 20. Is (-14)/p - (-539)/3 prime? True Let r = -465 - -1057. Let y = 843 - r. Is y a prime number? True Let f(x) = -205*x + 422. Is f(-9) composite? False Is ((-171)/45)/(13/(-97045)) composite? True Let t(h) be the third derivative of -237*h**4/8 - 25*h**3/6 - 26*h**2. Is t(-8) a prime number? False Suppose 0 = -4*k + d + 34829, -d = 3*k - 5*d - 26125. Is k a composite number? False Let b = 418172 - 254629. Is b a composite number? False Suppose -11*k = -63001 - 53346. Is k a composite number? True Suppose -291*u = -292*u + 223. Let h(w) = -w**3 - 4*w**2 + w - 4. Let i be h(3). Let b = u + i. Is b composite? True Let l(p) = 2068*p + 34. Is l(3) prime? False Let n = 1590 - -2725. Is n a composite number? True Let f(w) = 124*w**2 - 45*w + 95*w**2 + 41*w + 2. Let m be f(3). Suppose 0*y + 3*y = 5*h - 1971, 0 = -5*h - 2*y + m. Is h prime? False Suppose -2*w + 8 = 2*v, -3*v + w + w = -12. Suppose 5417 = v*q - 18339. Is q composite? False Let x be (88/11)/((6*1)/3). Suppose c - x*u = 1719, -2*c + 2*u + 3931 = 505. Is c a composite number? True Let o(a) = 2*a**3 - 2*a**2 + 1. Let k be o(1). Let u(h) = 149*h. Is u(k) a prime number? True Let i(m) = -36 + 1 + 103*m - 53*m - 56*m. Is i(-12) a composite number? False Let o(w) = -70*w**3 - 5*w**2 - 22*w - 2. Is o(-4) a prime number? False Let m(g) = -4*g - 19. Let f be m(-6). Is f*(-257)/((-4)/4) composite? True Let t be (14/(-6) - -3)*-11874. Is ((-2)/2)/((-7912)/t - 1) a prime number? True Let l(k) = 35*k - 5. Let z(w) = -71*w + 11. Let t(b) = 11*l(b) + 6*z(b). Let f be t(-7). Let u = f - -343. Is u composite? False Suppose -1388 = -4*y + 1560. Is y composite? True Suppose 2 = -4*y - 5*v, 5*y - 13 = 5*v + 7. Let z(j) = 15*j**2 + 2*j + 1. Is z(y) composite? True Is 7550/15 + 60/36 composite? True Let y(k) = -2*k**3 - k**2 + 15*k - 16. Let g be y(-7). Suppose -664 = -t - n, n - g = -5*t + 2816. Is t a composite number? True Suppose 5*t = 4*r - 34, 2*r = 3*t + 3*r + 17. Let z = t - -6. Suppose z*q = -q + 251. Is q a prime number? True Let n(a) = -28*a + 2. Let t be n(-2). Suppose 3*x = t + 29. Let f = -7 + x. Is f prime? False Suppose 3099 - 90 = 3*x. Suppose -2*f - 4 = 0, -x = -y - 2*f - f. Is y prime? True Let g = -1032 - -2196. Suppose 0 = -0*i + 3*i + g. Let b = -71 - i. Is b a prime number? True Suppose h + 2*h - 678 = 0. Let q be (3 + -8)/(2/h). Let l = q - -1272. Is l composite? True Suppose 3 = -3*o, 5*r - 2*o = 9*r - 264114. Is r a prime number? True Let k = 74 - 27. Suppose -171*o + 286 = -160*o. Let i = k - o. Is i a composite number? True Suppose -2*d - 9230 = -6*d - 2*b, 6939 = 3*d - 4*b. Is d prime? True Suppose -31153 = -v + 5*t, -4*t + 1 + 7 = 0. Is v a prime number? False Let w = 1715 - 1099. Let n = w - -1260. Suppose 4*r = -0*r + n. Is r a prime number? False Suppose -2*c + 4*d + 20 = 0, 0*d - 15 = 4*c + 3*d. Suppose -3*v - v + 3548 = c. Is v prime? True Suppose 4*f + 15 = f. Let a(c) = 69*c**2 + 4*c + 37. Let k(o) = 17*o**2 + o + 9. Let b(h) = -2*a(h) + 9*k(h). Is b(f) prime? False Suppose 2*w + w - 21 = 0. Let s(q) = 2*q + 10 - 2*q**2 - 5*q - 4*q + 4*q**2. Is s(w) a composite number? False Let h(f) = -f**3 + 13*f**2 + 3. Let b be 1*3*(-39)/(-9). Let r be h(b). Is 0/2 + 435/r a prime number? False Is 78166/10 - 354/(-885) composite? False Let i = -6 + 5. Let h be (-36)/(i + 5 + -3). Let v = -1 - h. Is v composite? True Let k(x) = 5331*x + 26. Is k(1) a composite number? True Let w(v) = 9 + 108*v + 2*v - 2. Let d = 11 - 8. Is w(d) a composite number? False Suppose -29244 = -22*r + 10*r. Is r prime? True Let q be 5 + ((-48)/4)/4. Suppose 5*g = 20, -q*n - 3*n = -5*g + 1200. Let r = -123 - n. Is r composite? False Let k = -4 + 6. Suppose -k*l + 5 = n + l, -2*n - 4*l + 4 = 0. Is 1413/21 - n/(-14) composite? False Suppose 2*t = -3*a + 4303, 7*a = 6*a - 5. Is t a composite number? True Let x be (-4972)/(-28) + (-12)/21. Suppose -1597 = -5*u - x. Let c = 475 - u. Is c a composite number? False Suppose 0*m + 2*b = 5*m - 8, m + 3*b + 12 = 0. Suppose 24*u - 21*u - 1887 = m. Is u a prime number? False Suppose 3*v - 79307 = -5*t, 0 = 4*t - 2*v - 66969 + 3541. Is t composite? False Let v(s) = 4722*s - 229. Is v(6) composite? True Let o(n) = -29*n**3 - 5*n**2 - 26*n - 13. Is o(-7) prime? True Suppose 2*h - 6 = -p, -h = -3*p + h + 42. Let d(x) = -x**2 + 11*x + 13. Let n be d(p). Is 2/n + 101 - 0 composite? False Let d(q) = q**3 + 5*q**2 - 5*q - 17. Let b be d(-5). Is -355*b/(-60)*3 prime? False Let t(k) be the first derivative of 2 - 1/4*k**4 - 4/3*k**3 + 2*k**2 - k. Is t(-5) prime? False Let j be 2/8 - (-2218)/(-8). Let c = j + -20. Is c/(-5) + (-6)/15 a composite number? False Suppose -6452 = -8*l + 3*l + g, -5*l = -3*g - 6446. Is l a composite number? False Suppose -414 = -3*b + b + 3*q, -5*q = -b + 221. Suppose 4*z - 4 = m, -5*m + 2 = 3*z - 24. Is (z/3)/(2/b) composite? False Let z(h) = 48*h - 43. Let k(m) = -m**3 + m**2 + 9. Let t be k(0). Is z(t) composite? False Is 3*(1/(-4))/(45/(-234420)) a composite number? False Suppose -3657 - 391 = 2*n. Let z = n + 3843. Is z a prime number? False Let z(n) = n + 13. Let p be z(-7). Let k(m) = 3*m**2 - 4*m - 6. Let l be k(p). Suppose -q + l - 7 = 0. Is q a composite number? False Is 1 - 1/4 - 137890/(-8) prime? False Let a = -74 - -116. Suppose -a = -77*x + 74*x. Is 8*x + -11 + 8 a prime number? True Let s(y) = 105712*y - 5. Is s(1) prime? False Suppose -3*v + 7024 = -4*u - 5289, 0 = -5*v - u + 20560. Is v a composite number? False Is (-26816)/(-36) - (-4)/36 prime? False Suppose -4*v + 4*d = -744, -3*v + 530 = -3*d + 7*d. Is (v - (5 + -2))/((-2)/(-4)) composite? True Suppose -13 = -11*f - 90. Let c = f + 64. Is c a prime number? False Suppose 17*r + 3*u = 18*r - 5264, 5*r + 5*u - 26380 = 0. Is r composite? False Let f(b) = -b**3 - 11*b**2 - 27*b - 11. Let w be f(-6). Is w/(6/(132/(-2))) composite? True Suppose -3*d + 0*d = -15, d - 157 = y. Let b = 278 - y. Suppose 4*n + 0*n + 415 = 3*i, 3*i - n = b. Is i a prime number? False Let a be -7 - 3/(-3)*-3. Is 16256/40 - 6/a a prime number? False Let r = 182 - -2. Is 1/(3 + r/(-62)) a composite number? False Suppose 3*o - 3*i - 52046 = 4867, 0 = 3*o - 2*i - 56915. Is o a composite number? False Is ((-28)/(-2 + 9))/((-12)/13605) composite? True Is (2749/8*4)/(2/4) a composite number? False Suppose 10589 = 2*y - t, -y = 2*y - t - 15886. Is y a prime number? True Let t(h) = h**2 + h - 7. Let q be t(3). Is 12/4 + q*6 a prime number? False Let n be 53*(-76)/5 + 24/(-60). Let p = n - -1543. Is p composite? True Let x be (0 + 3)/((-4)/(-12)). Suppose -2*n + x + 1 = 0. Is ((-2)/(-5))/(n/425) a composite number? True Suppose 8 = -m - 1. Let o(p) = -25*p - 4. Is o(m) prime? False Let p(l) = 4*l**3 - 2*l**2 + l - 15. Let j be p(5). Let f be (-6)/(-1 - 63/(-69)). Let x = j - f. Is x a composite number? True Suppose 2*v - 2023 = v. Suppose -669 = -n - 2*c, -n + 2*c - v = -4*n. Is n a prime number? True Let c = -241 + 91. Is (2 - 3)*(c - 7) composite? False Let o(m) = -m**2 + 3*m - 4. Suppose -2 = 2*b - 8. Let u be o(b). Let n(h) = -4*h - 6. Is n(u) a composite number? True Suppose 0 = -8*x + 51554 + 85062. Is x a prime number? True Suppose -w = -4*v + 1884, -2*w = -3*v + 1909 - 496. Suppose -7*g = -v - 418. Is g a composite number? False Suppose 6*q - q + 2*v = 55, -5*v + 34 = q. Let d(z) = 47*z - 8. Is d(q) composite? True Let d(c) be the third derivative of 163*c**5/60 - c**4/12 + c**3/6 + 25*c**2. Suppose 2 = b - 0*b. Is d(b) a composite number? True Suppose d - 2881 = -4*p, -729 = -3*p + 2*p - 2*d. Is p prime? True Suppose -4*k + 1 = -3. Let v(w) = 321*w**3 - w**2 + 3*w - 2. Is v(k) composite?
{ "pile_set_name": "DM Mathematics" }
04.68. -160737.68 What is -264749 + 5.01? -264743.99 Subtract -39 from -96842982. -96842943 Sum -6.5 and 28969.3. 28962.8 Sum 45114 and -16.2. 45097.8 Sum 8 and 0.62205648. 8.62205648 Add -19.2 and -1.1497. -20.3497 Calculate -7.1 - -669.80677. 662.70677 Work out -0.1 + -69590.5. -69590.6 What is -3 + -3723410.7? -3723413.7 What is -25 + -767789? -767814 -4+14201102 14201098 66 + -32.24844 33.75156 What is -252 plus 6454829? 6454577 Put together -0.3 and -59286.099. -59286.399 Calculate 7 - 181503. -181496 Work out 1097720 + 13374. 1111094 What is -4.3 less than 39335? 39339.3 Work out -1975 - 0.059391. -1975.059391 -130+36.562 -93.438 Work out 18 + -220.94012. -202.94012 Sum -2975.92 and -4000. -6975.92 Add together 6605835 and -1.2038. 6605833.7962 What is 2.8 less than 12.7349558? 9.9349558 Calculate 85991498.9 - 0. 85991498.9 What is -582760 plus -323.69? -583083.69 What is 5 less than -39722144? -39722149 What is 226.029 less than 3.77? -222.259 30754106 - 2 30754104 3+82.392303 85.392303 What is -18266175 plus 3? -18266172 Add 142 and -99018. -98876 Work out 2292 - 6.264758. 2285.735242 Subtract 734682732 from 0.4. -734682731.6 Put together 200095 and -60. 200035 Put together -0.0011467272 and -0.24. -0.2411467272 Total of -0.0029457958 and 0. -0.0029457958 Sum -1 and 252088035. 252088034 Add together -0.2191839 and 730. 729.7808161 1.954685 + 1 2.954685 What is 0.5 take away 301473126? -301473125.5 Work out -1693.12 - -1481. -212.12 Add together -10067 and -660.6. -10727.6 Total of 21 and -15.50813. 5.49187 Total of -0.108 and -8.41567. -8.52367 Put together 3 and 1.465159858. 4.465159858 Total of 297890130 and 0.2. 297890130.2 Calculate 5224 + -36.534. 5187.466 What is -0.05648253 take away 61.81? -61.86648253 -1035163710.6+3 -1035163707.6 What is the distance between 195748.043 and 14? 195734.043 Calculate 0.3 - 525995.2381. -525994.9381 Add 0.469 and 524794.68. 524795.149 Subtract 1060 from 13089613. 13088553 What is -1937 take away 8708? -10645 What is the difference between -0.0289783 and -3.9? 3.8710217 What is the difference between -307465364 and -0.4? 307465363.6 Work out -656995304 - 38. -656995342 What is -2186 less than -3.837? 2182.163 What is -0.1 take away 26932.39373? -26932.49373 What is 259.81 - -41.3? 301.11 Add 4 and -149746055. -149746051 Calculate 0.04 + -1526629864. -1526629863.96 What is -0.13 - 1203038? -1203038.13 Sum -4 and 119984379. 119984375 What is 1 minus 46881296? -46881295 What is 0.6388 plus 1.6354? 2.2742 What is -0.3083805464 minus -0.4? 0.0916194536 What is 88 plus 10814? 10902 What is the difference between -2 and -1439217494? 1439217492 What is -6.253 + 1.061325? -5.191675 Subtract 262861 from 8487. -254374 Calculate -5.2 - 2814.5854. -2819.7854 Work out 0.1 - 11.18561. -11.08561 Add 0.42 and 373.510671. 373.930671 What is 2 - 26.442991? -24.442991 What is the difference between 453827 and 19811? 434016 What is the distance between -0.71 and 61.3? 62.01 What is the difference between -9556895 and 0.5? 9556895.5 0.0931620363 - -32 32.0931620363 Total of 209398.6 and 0.02524. 209398.62524 Add together -0.688 and -8170957.5. -8170958.188 Subtract 1 from -598391.99. -598392.99 Add together 0.11386 and 15.27767. 15.39153 Subtract 0.4 from 1.4450615112. 1.0450615112 What is 28330 minus -0.886? 28330.886 -0.3 + 4101789 4101788.7 What is 0.0276938 take away -44? 44.0276938 Work out -787 - -53700. 52913 Sum -1283.86 and 0.04382. -1283.81618 Work out -152877 + 252542. 99665 Sum -1078 and -54390.7. -55468.7 Calculate -2 - 216541760. -216541762 Work out -0.04734125 - 3. -3.04734125 Subtract -683041.945 from -3. 683038.945 Work out -26481 + -3481. -29962 What is the difference between -6985705 and -0.3799? 6985704.6201 What is 61920.8495 + 0.1? 61920.9495 Subtract 70 from -0.045709. -70.045709 Calculate -13974346 + -4.97. -13974350.97 Add -0.356111 and 0.0687. -0.287411 Work out 3 - -4045468. 4045471 Put together 17756 and 12210. 29966 Calculate -3714349 - -0.31. -3714348.69 What is -278540787 + -0.03? -278540787.03 -3753 + 8616.14 4863.14 What is the distance between 1407454 and 9? 1407445 78 + -0.01431 77.98569 What is 2.8 minus -10671533? 10671535.8 Add -0.4 and -31623.32652. -31623.72652 Calculate 142800352 + 2. 142800354 What is 0.5 + -107.4375553? -106.9375553 -14.721 + 62.9 48.179 What is -5949969 take away 6.575? -5949975.575 18.97911+-20193 -20174.02089 Calculate -1 + -1348004173. -1348004174 What is the distance between 46693.3 and -735? 47428.3 Calculate -34 + -10.7357818. -44.7357818 Calculate -1.8841 - -26609. 26607.1159 Work out -0.29548 - 2.61696. -2.91244 -16 - 40059933 -40059949 What is -88 less than -361.489? -273.489 Calculate 8900.0258 - -0.7. 8900.7258 Put together -851411 and 89.76. -851321.24 Calculate 113.21 + 322818. 322931.21 Work out -505 - -0.251359. -504.748641 -0.062 - 42708 -42708.062 -1286849078 + -0.1 -1286849078.1 Total of 29005173 and -2. 29005171 Work out -1906.443 + -2.928. -1909.371 What is -750.7 + -741.105? -1491.805 Sum -0.111609 and 286. 285.888391 What is 7106930 + 122.58? 7107052.58 -3+-66905361 -66905364 Add together -20 and -583742183. -583742203 Work out 2034057849 + -11. 2034057838 Subtract -81 from 2.392. 83.392 Add 3705 and -0.482898. 3704.517102 What is -366.5 plus 1.5837433? -364.9162567 What is -321186297 plus 265? -321186032 Work out -1.46 + 245425757. 245425755.54 What is 0.3428 less than -205247? -205247.3428 Work out -3 - -837783.2. 837780.2 What is the difference between -2 and 4863602204? 4863602206 Put together 1.09285709 and -9. -7.90714291 What is -1148.48849 less than 0.5? 1148.98849 Subtract 0.4999763341 from -2. -2.4999763341 What is 12268342 less than 3? -12268339 Work out 35.33 + -0.440374. 34.889626 What is the distance between 4034033 and -0.0499? 4034033.0499 What is -8002338 less than 1374? 8003712 Put together -400.67909 and 390. -10.67909 What is 641695.5 + -310? 641385.5 -0.0742 + -12877 -12877.0742 Work out -15.8 + 8.0074238. -7.7925762 0.118 - 4469704 -4469703.882 Add together -0.18 and 65328496. 65328495.82 Calculate 0.5 + 16855821. 16855821.5 3.904 - -351.6 355.504 What is the difference between 126408 and 167.6? 126240.4 Subtract 4339.53 from 72. -4267.53 Add -445 and -16571. -17016 -8461421 + 6.2 -8461414.8 Calculate -0.08 + 19.6935. 19.6135 Total of 0.5 and -7519824507. -7519824506.5 What is -8.55 + -871.2743? -879.8243 What is the difference between 0 and 12834537421? 12834537421 Subtract -0.0934 from -4615800. -4615799.9066 What is -2 + 0.14222817? -1.85777183 Sum 0.1 and 66801287. 66801287.1 -838 - 99158 -99996 What is -1805 take away 358.8? -2163.8 -492.9 - -4684 4191.1 What is the distance between -19658 and -262? 19396 What is -371496 - -12.5? -371483.5 What is -0.3 less than -5102351? -5102350.7 What is 0.1 plus -42697.2513? -42697.1513 What is 68483741 minus -6? 68483747 What is -81.5261 take away 1.3? -82.8261 What is -857 + -51759? -52616 Sum 14 and -3059196934. -3059196920 What is -0.5 plus 4219.233952? 4218.733952 What is 0.1 take away -337958.5446? 337958.6446 What is -0.2 - -50576291? 50576290.8 Put together -70045 and -36.5. -70081.5 What is -15455569 plus 4? -15455565 Calculate 0.087 - -8900717. 8900717.087 Put together -5322 and 17582.8. 12260.8 Calculate -0.7499 - 112265. -112265.7499 0.428144+11537 11537.428144 What is 0.8624 + -58.7? -57.8376 -77.68144524 - 1 -78.68144524 Calculate 131 - 0.0136905. 130.9863095 What is -5 plus -3266181? -3266186 Add -0.01657 and 0.20667. 0.1901 What is the difference between -0.2 and -7.32935227? 7.12935227 What is 154.23185 + 0.189? 154.42085 0.3 + 421.139831 421.439831 Put together 61 and -126.91245. -65.91245 Calculate 1.215 + -44471.22. -44470.005 What is -3189538 + -0.60788? -3189538.60788 What is -0.031139 plus 0.12? 0.088861 What is 8474 less than -0.0548025? -8474.0548025 Work out 12568 - -1.016. 12569.016 Calculate 3940936 + 0.9. 3940936.9 Put together -23888844442 and -0.1. -23888844442.1 Total of 0.071 and -78397. -78396.929 Add together 2429.9563 and -0.24. 2429.7163 What is -0.14398976 minus 172? -172.14398976 What is 962.369 - -8503? 9465.369 Calculate 0.1 - -8763.435. 8763.535 Sum -109 and 24594195. 24594086 Work out 949.8112 - 3.792. 946.0192 Total of 9 and
{ "pile_set_name": "DM Mathematics" }
2 + 6*g - 3. Let b be w(8). Let x = -91 + b. What is the highest common factor of x and 90? 18 Let c(d) be the first derivative of -5*d**4/2 - d**3/3 + d**2/2 + d + 41. Let v be c(-1). What is the highest common divisor of 18 and v? 9 Let g(o) = 5*o - 10. Let q be g(8). Suppose 6*h + 24 = q. Calculate the greatest common divisor of h and 7. 1 Suppose -2*z + 868 = 4*n, 5*n - 6*n - 431 = -z. Suppose 0 = 6*s - 2*s - z. What is the highest common factor of s and 12? 12 Suppose 17 - 257 = -20*p. What is the highest common factor of p and 84? 12 Suppose 0 = -3*f - 16*f + 95. What is the highest common divisor of 10 and f? 5 Suppose 149 + 929 = -7*w. Let f = w - -286. What is the highest common divisor of f and 12? 12 Let t = -63 + 62. Let p = t - -9. What is the highest common factor of 1 and p? 1 Suppose -13775 = 12*t - 37*t. What is the greatest common factor of t and 19? 19 Let n be 6 + 314 + -6 + 11. What is the greatest common factor of 13 and n? 13 Suppose 4*i - 2*i - 14 = 0. Let g(m) = -6*m + 21. Let z be g(0). What is the greatest common factor of i and z? 7 Let a = -4 - -124. What is the greatest common factor of 15 and a? 15 Suppose -2*l = 3*l - 840. Suppose 0*h + h - 3 = 0. Suppose h*k - 5*k = -48. Calculate the highest common factor of l and k. 24 Let p = -2706 + 2719. Calculate the greatest common divisor of 1872 and p. 13 Let c(m) = -31*m + 14*m + 11*m + 2 + 4*m**2 + 2. Let x be c(2). What is the greatest common factor of x and 8? 8 Suppose 0 = 3*j - 5*l - 106, 0 = -13*j + 8*j + 4*l + 194. Calculate the greatest common factor of j and 336. 42 Let s = 63 + -57. Let q = 1 + 1. Calculate the greatest common divisor of s and q. 2 Suppose 18*z = 2*z + 5888. Calculate the highest common factor of z and 92. 92 Let v = -1184 + 2170. What is the highest common factor of v and 58? 58 Suppose -205 + 799 = 54*m. Calculate the highest common divisor of m and 1111. 11 Let m = -20 + 22. Let o be m/6*3 + 3. Suppose -w + o*w - 36 = 0. What is the highest common divisor of 36 and w? 12 Let d = -214 + 798. Calculate the greatest common factor of 73 and d. 73 Let d(c) = 7*c - 2. Let h be d(1). Let w be (-2 - -6)*h/4. Calculate the greatest common divisor of 2 and w. 1 Let g(j) = -j + 6. Let y be g(6). Suppose y = -2*t - c - 0*c + 35, 5*c + 17 = 2*t. Calculate the greatest common divisor of 64 and t. 16 Let v be -2 + 4 + 108/3 + 2. Suppose k - 5*k = 12. Let l be -3 - -4 - -1 - k. What is the greatest common factor of v and l? 5 Let s(t) = 14*t - 24. Let r be s(8). Let i be 2/(-2 - -2 - 1). Let z be 10 - i*(-1 + 0). Calculate the highest common factor of r and z. 8 Let s = -1084 + 1227. What is the highest common divisor of 117 and s? 13 Let g be 7*(-2 - -3 - 4). Let s = 37 + g. Let y = -5 + s. What is the highest common factor of y and 55? 11 Let r be 140 - (-2 - 4 - 1). Calculate the greatest common divisor of r and 21. 21 Let p = -144 - -64. Let d = 92 + p. What is the highest common factor of 30 and d? 6 Let b = -1395 + 1472. What is the greatest common factor of 5621 and b? 77 Suppose -14*c + 174 + 8 = 0. Calculate the greatest common divisor of c and 1170. 13 Suppose 0 = -s + 3*u + 3, 6*u - 2*u - 20 = 0. Suppose -t + 135 = 2*t - 4*x, -3*t - 4*x + 135 = 0. What is the highest common factor of t and s? 9 Suppose -6 = -3*f + 6. Suppose -14 = f*l - 2. Let p be (l + 9*-1)/(-2). What is the greatest common divisor of p and 15? 3 Let w = 56 - 55. Let z(q) = 31*q + 3. Let u be z(w). What is the highest common divisor of 51 and u? 17 Suppose 554 = 5*z - 776. Let y = -2836 + 2850. What is the highest common factor of y and z? 14 Let j(m) = -3*m + 1. Let i be j(8). Let g = i + 32. Let p be (-9)/((16/4)/(-4)). Calculate the greatest common divisor of p and g. 9 Let s = -30 - -40. Let k(a) = 4*a. Let f be k(-1). Let q be 4 + 2 + f/2. What is the greatest common factor of q and s? 2 Let m(y) = 6*y**2 - 3*y + 6. Let p be m(-4). Suppose p = 3*a + 4*h - 8*h, 0 = -3*h. Calculate the greatest common factor of a and 57. 19 Let m be 2/(-4)*(-19)/(95/170). Let z be 2/((34/12)/m). Calculate the highest common factor of 3 and z. 3 Let u = -44 + 183. Let z = -94 + u. What is the greatest common factor of 9 and z? 9 Let l(a) = -a + 8. Let s be l(0). Let d(i) = 1 + 2*i + s*i**2 + i**3 + 4*i + 0*i. Let p be d(-7). What is the highest common divisor of 88 and p? 8 Let o be 5 + (-4)/(24/6). Suppose -3*b = -o*w - 76, -12*w = -5*b - 17*w + 150. Calculate the greatest common factor of 224 and b. 28 Let r(w) = -7 + 1 + 3 + 6 - 11*w. Let n be r(-2). Let h be ((-25)/2)/(1/(-4)). Calculate the greatest common factor of h and n. 25 Let q = 300 + -296. Suppose 5*t + 3*h - 3218 = 2680, 5*h = -3*t + 3526. Let a be (-2)/(-9) - t/(-27). Calculate the greatest common divisor of q and a. 4 Suppose -20*d + 60506 = 5966. Calculate the greatest common divisor of d and 101. 101 Let c be (-4)/8*(1 - 1133). Let w = c - 19. Suppose 0 = -3*q + s + w, 5*s = -3*q + s + 572. What is the highest common factor of q and 23? 23 Suppose -8 = -5*u + 7. Suppose 3*t + g = 5, 8 = u*t + 4*g - 6*g. Calculate the greatest common divisor of 16 and t. 2 Let s(n) = -2*n**2 - 17*n + 8. Let d be s(-8). Calculate the highest common factor of 464 and d. 16 Let k be 1 + 84/(6 + -3). Suppose -4*h + 56 = -4*v, 4*v - 27 - k = -3*h. What is the greatest common divisor of 176 and h? 16 Suppose l - 40 = 5*x - 5, 5*l - 65 = 3*x. Calculate the greatest common factor of l and 40. 10 Suppose 4*i - 1450 = 2*g, -5*i - g = -2016 + 221. Calculate the greatest common factor of 40 and i. 40 Let o = -56 - -80. Suppose -3*h = -2*h - o. Suppose n - 24 = -n. Calculate the greatest common divisor of n and h. 12 Let b(j) = -8*j**2 - 109*j - 33. Let p be b(-13). What is the highest common factor of p and 352? 32 Suppose 26 = 3*p - 40. Let y(u) = -24*u + 16. Let x be y(-7). Let n = x + -129. What is the highest common factor of p and n? 11 Let h = -17 + 30. Suppose -5*d + 189 = 19*z - 16*z, -5*d - 5*z + 185 = 0. What is the highest common factor of d and h? 13 Let l = 3 - 10. Let b be 42/(-9)*(l - 2). Calculate the highest common divisor of b and 105. 21 Suppose -5*s = -5 - 10. Let o be 2 + (-2 - -3) + 1. Suppose o*f - 6 = 2*f. Calculate the highest common divisor of f and s. 3 Let o = 2130 - 1056. Calculate the greatest common divisor of 6 and o. 6 Let f(g) = 245*g - 590. Let m be f(4). Calculate the greatest common divisor of 45 and m. 15 Suppose -5*t + 2*t = 0. Suppose t = -p - p + 20. Suppose -26 = -2*x + p. Calculate the greatest common divisor of x and 27. 9 Let k = -126 - -158. What is the highest common divisor of k and 128? 32 Suppose -270 = -2*b - 5*z - 0*z, -6 = -3*z. Calculate the greatest common factor of b and 117. 13 Let p(q) = 0 + 0*q - 7*q + 5. Let j be p(-2). What is the highest common divisor of j and 19? 19 Let x = 29 - 5. Suppose -3*v + 4*k = -43, -3*k + 11 = 4*v - 13. Suppose -6 = 8*y - v*y. Calculate the highest common divisor of x and y. 6 Suppose -37*x + 935 = -20*x. Calculate the highest common divisor of 407 and x. 11 Suppose 3*y + 3*b = 21, 0*y - 4*y + 3*b = 0. Suppose t = -y*h + 61, -h + 115 = -4*t + 307. What is the highest common divisor of 7 and t? 7 Suppose -28*v + 2204 = -5188. What is the greatest common divisor of v and 33? 33 Suppose 8*o - 3560 - 1192 = 0. What is the highest common factor of 66 and o? 66 Let k = 11 - 13. Let n be 1*(6 + -3)*k. Let d = n - -38. Calculate the highest common divisor of d and 16. 16 Let a = -567 - -927. What is the greatest common factor of a and 24? 24 Let c = 1333 - 1304. What is the highest common factor of 8 and c? 1 Let j be 3 + -4 + 13/1. Let r(h) = -4*h - 56. Let s be r(-38). Calculate the greatest common divisor of s and j. 12 Suppose -2*r = -3*r + 7. Let z = r + 29. What is the highest common divisor of 24 and z? 12 Suppose 2*u - 5 = u. Suppose 3*t - 413 = 4*h, u + 674 = 5*t - 2*h. Suppose c = -2*c + t. Calculate the highest common divisor of c and 5. 5 Let o be (-6)/(-10) - (162/(-30) - -5). Let i be 2*1*(-14)/(-4). Calculate the highest common factor of o and i. 1 Suppose o - 45 - 10 = 0. Let a be 45/(-10)*(-12)/9. Let i(n) = -n**3 + 6*n**2 + 6*n - 14. Let h be i(a). What is the greatest common divisor of o and h? 11 Suppose -52*y - 11217 = -35241. Calculate the grea
{ "pile_set_name": "DM Mathematics" }
for j. 4 Let u(b) = -19*b**3. Let s be u(-1). Suppose -4*t - 3 + s = 0. Solve 0*a = 2*f - 4*a + 8, 4*f = -t*a + 20 for f. 2 Suppose -u + 30 = 3*w - 0*w, 5*u - 110 = 5*w. Solve 3*o - 4*r = 4*o - 18, 4*r - u = -4*o for o. 2 Suppose -3*i - 33 = -4*f, 2*i + 15 = 2*f + i. Solve f = 2*b - 4*p, b - 7 = -0*p - 2*p for b. 5 Let d = -3 + 6. Suppose -d*q + 10 = -2. Suppose q*a + 5*p + 3 + 6 = 0, -28 = -2*a + 4*p. Solve 4 = -2*u + 2*t, a*u = -0*u - 4*t + 32 for u. 3 Let i(j) = j**2 - 3*j - 6. Let w = 8 - 3. Let v be i(w). Solve -2*u - 5*f - 6 = 0, -u - 2*u - 9 = v*f for u. -3 Let c = -42 + 45. Suppose 4*l - 20 = -8. Solve -12 = -l*v, -d + 19 = c*v + 2*v for d. -1 Let w be 12/2 - (-3 - -2). Let s(o) = o - 5. Let u be s(w). Solve -5*i - 4*m = 0, -3*m - 7 = u*i - 0 for i. 4 Let n = 48 - 33. Solve -2*w + 6*w + n = g, 4*g = w for w. -4 Let x = 5 + 11. Suppose -5*d + x = -4. Solve -2*n - 3*i = -14 + 3, 5*n = -d*i + 17 for n. 1 Suppose 6*r - 40 = 2*r. Let s be (2 - 0)/(r/15). Solve -4*h = -s*q + 6 + 4, 0 = 2*h - q + 4 for h. -1 Let t = 18 + -13. Solve 0 = -5*c + s - 5 - 8, -2*c - t*s = -11 for c. -2 Let v be (3 + -9 - 1)/(-1). Solve g = 1, -4*w + v*g - 3*g = -16 for w. 5 Let z be 1/(((-4)/22)/2). Let v = z - -44. Suppose p + 9 - v = 0. Solve -6*y - p = -y - t, 5*y + 27 = -2*t for y. -5 Suppose -9 - 4 = -3*i - 5*f, -5*i + 5*f - 5 = 0. Let t = i - -3. Solve t*m + 3*o - 24 = 0, -4*o - o + 14 = -2*m for m. 3 Suppose -4*n + 10 = n. Let i be (-33)/(-6) - 1/n. Let x(w) = -w + 10. Let m be x(8). Solve m*c + i*j - 16 = 0, 4*c + j - 7 = 7 for c. 3 Let j be 50/3*(-6)/(-4). Let y = -25 + 18. Let v be (-4)/10*(y - 3). Solve q + 5*o + j = v*q, -18 = -2*q + 4*o for q. 5 Suppose -2*x = 4*y - 30, -y - 3*y + 9 = -x. Let u be 66/(-4)*4/(-6). Let p = 14 - u. Solve b - 2*s = 3*b + 6, 0 = -5*b + p*s - x for b. -2 Let j = -3 - -2. Let q = j + 4. Solve -11 = -4*a - 3*g, q*a + 2*g - 4 - 5 = 0 for a. 5 Let w be (2 + -5 - -4) + 1. Solve 3*s + 5*x - 2 = 0, -w = -4*s + 4*x - 10 for s. -1 Let f be (-890)/(-55) - -4 - 4/22. Solve -3*n + f = u, 2*n - n = 4*u - 15 for n. 5 Let l(a) = -a + 5. Let w be l(2). Let n = 11 + -5. Solve -w*j = 5*o - 4, 3*j + n = -j - o for j. -2 Let x(c) = c**2 - 7*c + 7. Let d be x(5). Let i be d/(-5) + 108/20. Let s = 4 - 2. Solve -s = -2*h + 3*w + i, 5*w = 3*h - 12 for h. 4 Suppose 0 - 3 = -a. Suppose a*w - 13 = 8. Let t(d) = d**2 + 2*d + 7. Let r be t(0). Solve y = 2*x - w*x + 21, -r = -2*x + y for x. 4 Let i be ((-170)/8)/5*4. Let m = i - -17. Let k(w) = 4*w**2 - 2*w - 1. Let r be k(-1). Solve m = -4*o + r*q - 19, 3*o - 9 = -5*q + q for o. -1 Let r(x) = x + 4. Let g be r(-3). Suppose 0 = -5*f - i + 45 - 7, -4*f - i = -31. Solve 3*y = q - 4 - g, -3*y = -4*q - f for y. -3 Suppose 0 = 3*z - 72 + 9. Suppose 2*n + 3 = 3*n, -z = -2*q + n. Suppose -2*b = -3*m - q, 3 = b - 3*m - 9. Solve 2*l - t = -5, b*l + 5*t + 27 = -3*l for l. -4 Let l be (9 - 2) + 2 + -6. Solve c - 2*u + 12 = 0, -7 + 24 = -c + l*u for c. -2 Let y be 5 + ((-8)/12)/((-4)/(-6)). Solve -i + 4 = 3*c - 1, -c = y*i - 9 for i. 2 Suppose -2*l - 15 = -5*l. Suppose -l*s = -s - 12. Let h be s/((-9)/(-21))*5. Solve 4*k + 4*u = 3*u + 22, 5*k = -5*u + h for k. 5 Suppose -5*o + 16 - 6 = 0. Suppose 0*g - 64 = -o*g. Solve 2*a - 1 = -3*j, -3*a - 2 = -5*j - g for j. -3 Let d be 2/(-9) + (-29)/(-9). Let w(u) = 2*u**2 - 5*u + 3. Let v be w(d). Solve o + 0 - v = n, -4*o = 5*n + 3 for o. 3 Suppose 0 = 3*k - 0*k. Suppose k = -3*i + i + 6. Solve 0 = -2*w - 3*n + 16, 3*w + w + i*n = 26 for w. 5 Suppose -14 + 6 = -2*p. Solve -3*h + 28 = -5*h + p*b, 0 = -2*h - 5*b + 17 for h. -4 Let j = -2 - -6. Let t(b) = -b**3 + 8*b**2 - 12*b + 3. Let u be t(6). Suppose -j = -3*z + u*h - 1, 5*z - 4*h = 6. Solve -5*y + 4 = z*v, y = v + 3*y - 2 for v. 2 Let v(a) = -2*a - 9. Let h be v(-6). Let p = 5 - -12. Solve 0 = -3*l + h*w + 27, l - 3*w = -0*l + p for l. 5 Suppose 0 = 3*q - 157 + 1. Let d = q + -34. Let a = 4 + 0. Solve a*s - s - 2 = -2*f, -5*s + d = -4*f for f. -2 Let b(i) = -2*i - 13. Let r be b(-8). Solve -3 = -3*j + r*q, j - 3 = 3*q - 0*q for j. 0 Suppose -5*w - 12 - 14 = -2*m, 0 = 2*m - 3*w - 18. Solve 0*v - 4*v + 7 = -5*g, -15 = m*v + 3*g for v. -2 Let w = -35 - -16. Let q = w - -9. Let h = q + 16. Solve r = -5*t + h*r + 20, -3*r - 8 = -2*t for t. 4 Let j(h) = -h**2 + 12*h - 6. Let g be j(11). Suppose g*s - c - 20 = 0, -3*c + 7*c = -4*s - 8. Solve 15 = -s*x, 4*x + 22 = -3*v + 2 for v. 0 Let p be 17*1*(-14)/(-7). Let n = p + -8. Solve -n = 4*j - 3*k, -5*j - 8 = -5*k + 27 for j. -5 Suppose 2*p - 5*w - 45 = 0, 0 = -5*p - 3*w - 9 + 137. Suppose -14*c + 9*c = -p. Let a = 8 - 4. Solve c*s + a*u + 18 = 5*u, -2*s = 5*u + 18 for s. -4 Let z(s) = s**2 - 6*s + 10. Let w be z(7). Let f = -11 + w. Solve 2*q + 40 = f*q + 5*y, -4*q + 5*y = 0 for q. 5 Let q(b) = -b + 12. Let u be 4*5*(-12)/(-24). Let r be q(u). Solve 3 = -3*g - 3*v, v - 4 = 4*g - r*v for g. -1 Suppose -4*q + 14 + 2 = w, -3*q + w = -19. Suppose 3*m - 7*m = 0. Solve 0 = 5*b - 3*i - m*i + 2, -2 = -q*b + 2*i for b. 2 Let v(w) be the second derivative of w**3/3 + 3*w**2/2 + 2*w. Let p be v(7). Solve -5*k + g + 24 = 0, -5*g + p = 3*k - 3*g for k. 5 Let f(i) = i**2 - 16*i - 12. Let b be f(17). Suppose 6 - 16 = -v. Let m = v - b. Solve -k + 14 = 5*q + 2*k, -3*q - m*k = -18 for q. 1 Let p be (-27)/(-12)*-2*-2. Let k = p - 4. Solve 2 = -k*r - z - 3*z, 2*z - 2 = -r for r. -2 Suppose 0 = 2*c - c. Suppose -2*s - 9 + 23 = c. Solve t = -2*m + s, -t - 1 = -2*t for m. 3 Let s = 32 - 30. Let c(d) = d**3 + 5*d**2 - 6*d + 8. Let j be c(-6). Suppose 2*h - h = 4. Solve -5*x - 2 - j = 0, -h*m = -s*x - 4 for m. 0 Let u = -1 + 4. Solve -u*q - 5*n + 15 = 0, 3*q + 0*n = 3*n - 9 for q. 0 Let w(r) = r - 6. Let u be w(5). Let j = 5 + u. Let m be ((-7)/j)/(2/(-8)). Solve t = 5*t - 5*p - 32, p + m = t for t. 3 Suppose 0 = -3*o + o - 4, -s + 6 = -2*o. Suppose -2*g - l = 0, 14 = -4*g + g - 5*l. Suppose 0 = c + g*c - 12. Solve -c*t - 4*y = 4, -3*t - s*y - 4 = 2 for t. -4 Suppose -5*z + 10 = -2*o - 6, 2*z - 2*o = 10. Solve 2 = -3*k + 2*u, 3*u + z = 4*k - 2*k for k. -2 Suppose -2*o + 4*b + 0*b - 14 = 0, -2*o + 31 = 5*b. Suppose 0 = 3*f - 28 - 47. Suppose -17 - f = -o*k. Solve -5*s + z = k, -3*z - 6 = s - 0*z for s. -3 Suppose -2*l - 1 = -5. Solve -i - 2 = h, 2*i + h + 6 = -l*h for i. 0 Suppose 4*i - 5*i = -2. Suppose -104 - 88 = -i*l. Suppose -4*r + 16 = -l. Solve 4*h + 3*b - 2 = -h, -4*h = -5*b + r for h. -2 Let o = 0 + 0. Solve -2*q - 4 = o, -3*c = 2*c - 4*q + 17 for c. -5 Suppose -2*x + 8 = -6*x. Let d be 2*(0 - 7/x). Solve 4*z = 3*i, -z + i - 2*i = -d for z. 3 Suppose -4*k + t + 8 = 0, 5*t = -k + 3 - 1. Suppose k*q = 2*i - 3*q, -3*i = -4*q. Solve 3*h - 2*y + 14 = i, 2*h + 7*y - 4*y = 8 for h. -2 Suppose 2*a - a = 0. Let o be (a - (-4)/3)*3. Solve 4*x = 4*y - 2 + 10, -o*x + 2 = 2*y for x. 1 Let y be (-2)/9 - (-120)/54. Solve j + 3*x = 2, -y*x = -3*j + 2*x - 7 for j. -1 Let l = 6 - 2. Suppose -2*i = -l*i. Let x be (i - 0) + 0/(-5). Solve u + 1 = 3*h - u, x = u + 2 for h. -1 Let s = 1 - 3. Let r = -1 - -2. Let u be r + (s - 1 - -2). Solve 0 = -4*h - 3*m - 11, u*h + 7 = -2*h - m for h. -5 Let y be (-2 - 52/(-8))*6. Let r = y + -17. Solve 4*s = -q + 2*q + 10, -s + 4*q = -r for s. 2 Let i = -22 - -14. Let y = 12 + i. Let n be y/20 + 38/10. Solve 0 = 3*p - 0*p - 2*k, 0 = 5*p - 2*k + n for p. -2 Let b(g) = -g**2 - 10*g - 11. Suppose 0 = -5*x - 5, -5*z + x = 2*x + 41. Let s be b(z). Solve -j - s*t - 14 = 0, 0 = -j - 0*j - 2*t - 5 for j. 1 Let l(y) = -y**2 + 7*y - 9. Let f be l(4). Let r = -4 - -7. Solve 0 = r*k - 12, -3*z - 4 = -5*z - f*k for z. -4 Let i(y) = y**3 + 3*y**2 + 2. Let b be i(-3). Solve -3*g = -5*l - 10, -b*g - 35 = -l + 6*l for g. -5 Suppose -s = 3*g - 11, -2*g - 4*s = -23 - 1. Suppose -m + 5 - g = 0. Solve c = b + 3*c + 5, -b + 2*c + m = 0 for b. -1 Let z(m) = 3*m**2 - 2*m**2 - 5*m - m - m. Let t be z(6). Let k be 1/t - 95/(-30). Solve -k*u = -4*d - 2*u + 11, -7 = -2*d - u for d. 3 Suppose 3*f + 2*v = 7*f + 6, 2*v - 10 = 0. Let k(n) = n**2 + n - 1. Let w be k(f). Let p be 5 + 1 + w/(-1). Solve -p*u - i = -0*u - 6, 2*u - 5*i - 24 = 0 for u. 2 Suppose 2*b = -3*b + 5*c + 60, -4*b + 45 = -c. Suppose 5*o - b = 19. Solve -5*s = 3*k - o, 0 = -4*k - 5*s - 2 + 10 for k. 2 Let g(f) = -4*f**2 + 2*f - 1. Let n be g(1)
{ "pile_set_name": "DM Mathematics" }
ed by 2223352? -4 Calculate -17220298 divided by -32926. 523 Divide -236570 by -39. 236570/39 Calculate 2040334692 divided by -1. -2040334692 Divide 186206 by 116. 93103/58 -43073284 divided by -4 10768321 Calculate -93628 divided by -12. 23407/3 Calculate -1010 divided by -1617. 1010/1617 Calculate -6686988 divided by 42. -159214 Divide 12818478 by 20877. 614 What is -13666950 divided by -6275? 2178 What is 108511621 divided by 5? 108511621/5 Divide -34500 by 7890. -1150/263 What is 3111950 divided by 622390? 5 Divide 16278105 by -3255621. -5 0 divided by 349261 0 200109 divided by 13 15393 What is -241 divided by -1029555? 241/1029555 Divide 6 by 109916037. 2/36638679 70859325 divided by -5 -14171865 Divide 14288670 by 2857734. 5 Calculate 4461414 divided by 1226. 3639 What is 5425945 divided by -775135? -7 Calculate 209 divided by -17380. -19/1580 Calculate 213 divided by 235896. 71/78632 Divide 24250356 by -207268. -117 -4299948 divided by 558 -7706 Calculate -30864560 divided by 385807. -80 Divide 46325502 by 7720917. 6 Divide 236048351 by -236048351. -1 Calculate -365281430 divided by -5. 73056286 Calculate -81003212 divided by -21676. 3737 What is 5 divided by -13474421? -5/13474421 Calculate -332896806 divided by -757. 439758 What is 788146 divided by -10? -394073/5 -68877528 divided by -939 73352 -10167 divided by 35 -10167/35 Calculate -1 divided by -24749215. 1/24749215 Calculate 766480 divided by -69680. -11 Divide -342963478 by -202. 1697839 What is -92 divided by -20112? 23/5028 Calculate 42610140 divided by 946892. 45 What is -1391870 divided by 1391870? -1 What is -43703219 divided by -6243317? 7 What is 7062418 divided by 2? 3531209 What is -10221138 divided by -3? 3407046 17389 divided by -20 -17389/20 -2957233 divided by 3 -2957233/3 What is -10235 divided by 22263? -10235/22263 What is 129618805 divided by 5? 25923761 What is -13361277 divided by -89673? 149 -13949 divided by 9028 -377/244 What is -10038 divided by 1118? -5019/559 5 divided by 11902067 5/11902067 683597 divided by -104 -683597/104 Divide -118624176 by -1. 118624176 Divide -27415 by 6112. -27415/6112 Calculate 27598589 divided by -139. -198551 Divide 85976640 by 1910592. 45 Divide 52022646 by -1. -52022646 What is 46 divided by 2644997? 46/2644997 What is -399480556 divided by 1591556? -251 Calculate 2111382 divided by -13. -162414 What is 88586460 divided by -99090? -894 What is 500 divided by -361629? -500/361629 Calculate -14796474 divided by -5. 14796474/5 What is -180166 divided by -17? 10598 Calculate 67255230 divided by -22418410. -3 Calculate 7660335 divided by -16545. -463 What is 37532372 divided by -706? -53162 What is -3779481 divided by 177? -21353 Divide 1093094893 by 2. 1093094893/2 Divide 23085114 by -78. -295963 68286834 divided by -99 -689766 What is 156096516 divided by -6? -26016086 Calculate -3785418 divided by -126. 30043 Calculate 0 divided by -1598651. 0 3863 divided by 28576 3863/28576 What is -27017687 divided by 2? -27017687/2 Divide 59831478 by -949706. -63 Calculate -11338110 divided by 323946. -35 10699825 divided by -2139965 -5 Calculate 97 divided by -395719. -97/395719 What is -71426700 divided by 4275? -16708 Divide -5145 by 487. -5145/487 Calculate -160837 divided by 88. -160837/88 What is 122206956 divided by 20367826? 6 Calculate 62 divided by 3382351. 62/3382351 What is 8 divided by -3164409? -8/3164409 4299096 divided by 68 63222 Calculate -124861845 divided by 177109. -705 What is -683106993 divided by 4? -683106993/4 -1135810 divided by -186 567905/93 45693810 divided by -134790 -339 What is -10714368 divided by 128? -83706 Divide 19918779 by 3. 6639593 Divide -4 by -19167066. 2/9583533 What is 407379696 divided by -19518? -20872 Divide -368026950 by -579570. 635 What is -85656115 divided by 5? -17131223 Calculate 8146536 divided by 4. 2036634 What is 7481224 divided by -136? -55009 Divide -13916874 by 6958437. -2 What is 1651331 divided by -253? -6527 Divide 111 by 916612. 111/916612 Calculate -105153136 divided by -4. 26288284 What is -2 divided by -372286520? 1/186143260 What is 8459990 divided by 76909? 110 What is -2248650 divided by -18? 124925 What is -367016 divided by 2? -183508 Calculate 163152264 divided by -44. -3708006 3315 divided by -1844 -3315/1844 What is 6221713 divided by 144691? 43 Calculate 23098973 divided by 3. 23098973/3 What is -16 divided by -3156555? 16/3156555 -10344114 divided by 22 -470187 Calculate -8709250 divided by 348370. -25 What is -1727657 divided by 414? -1727657/414 What is 27252600 divided by -34280? -795 Calculate 2699866 divided by 5. 2699866/5 What is -11173 divided by -78177? 11173/78177 Calculate -26069394 divided by -15353. 1698 -319 divided by 368030 -319/368030 What is -5714704 divided by -1428676? 4 What is -11529561 divided by 1? -11529561 Calculate -72266180 divided by -5180. 13951 Calculate -56461400 divided by 10. -5646140 What is 2609109 divided by 3? 869703 402 divided by -1396312 -201/698156 803 divided by -216310 -803/216310 Calculate 18 divided by 23379834. 3/3896639 What is 2910029 divided by -59? -2910029/59 Calculate 10035980 divided by 1. 10035980 Divide -119737155 by -6. 39912385/2 Divide 6 by 12534519. 2/4178173 Divide -19605856 by 32. -612683 Calculate 11308876 divided by -323. -35012 What is -207122 divided by 24? -103561/12 Divide -4 by -16737218. 2/8368609 Divide -2178772 by -1089386. 2 39274298 divided by -1 -39274298 Divide -27880377 by -93. 299789 Calculate -20 divided by -986950. 2/98695 Divide 61887693 by -21. -2947033 Calculate -716089 divided by -2. 716089/2 What is 227710080 divided by 2880? 79066 What is 807644080 divided by -4? -201911020 Calculate -241 divided by -13255. 1/55 What is -126474 divided by 11? -126474/11 What is 39996 divided by 46? 19998/23 Divide -58 by 110244. -29/55122 Divide -3 by 408172. -3/408172 What is 1771502 divided by 1? 1771502 -72607538 divided by 36303769 -2 Divide 63226811 by -3. -63226811/3 2 divided by -2926957 -2/2926957 What is -241760 divided by -4? 60440 Divide -27006 by -801. 9002/267 -64748 divided by -815 64748/815 What is -45450485 divided by 9090097? -5 Calculate 801 divided by 1119. 267/373 Divide -29744785 by 5. -5948957 Divide 22868325 by 22095. 1035 What is 530 divided by 1082908? 265/541454 -527880 divided by -3 175960 What is -4 divided by -146490? 2/73245 Calculate 517 divided by -163857. -517/163857 Divide -3190784 by -10496. 304 Calculate -210594392 divided by -172. 1224386 Divide 460075 by -11. -41825 Calculate 14441 divided by -19940. -14441/19940 Calculate -30651464 divided by -24482. 1252 Divide 20603276 by 5. 20603276/5 Calculate -106951 divided by -3. 106951/3 11 divided by -569115 -11/569115 Calculate -5 divided by -12197234. 5/12197234 Divide 702108 by -396. -1773 What is 486602 divided by -1? -486602 Calculate -41691 divided by 529. -41691/529 Calculate -453484238 divided by -4. 226742119/2 Divide -132548320 by 5. -26509664 -26555931 divided by -983553 27 What is -3 divided by -28137421? 3/28137421 26628588 divided by -3 -8876196 -6655611 divided by 10 -6655611/10 Divide -1577 by 12591. -1577/12591 1 divided by 413666151 1/413666151 Divide -407624726 by 2. -203812363 Calculate 2856943 divided by 8. 2856943/8 What is 2 divided by 35400858? 1/17700429 1 divided by 8627706 1/8627706 What is 2 divided by 209174675? 2/209174675 Calculate -4 divided by 4542037. -4/4542037 Divide -216975212 by -85222. 2546 Calculate -201540920 divided by -650132. 310 What is 238775836 divided by -44908? -5317 What is -17426116 divided by 8713058? -2 What is 189833 divided by 1? 189833 Divide 36 by -164749. -36/164749 What is -141317184 divided by 4? -35329296 502232940 divided by 4650305 108 Divide 70042944 by 4. 17510736 Calculate -3632038 divided by 11567. -314 Calculate 513574266 divided by 171191422. 3 What is -8985909 divided by -15? 2995303/5 13024 divided by -43586 -176/589 Calculate -4605790 divided by 266. -17315 296564772 divided by 7 42366396 Calculate -4 divided by 579491. -4/579491 What is 231 divided by 87059? 33/12437 Calculate -60 divided by -13815530. 6/1381553 What is 2090180 divided by -205? -10196 Divide -14343210 by -189. 75890 -1164474 divided by 129386 -9 Divide 2 by -4294688. -
{ "pile_set_name": "DM Mathematics" }
0.5 Suppose y + y + 6 = 0. Sort y, 4, 3 in increasing order. y, 3, 4 Let l = 8 - 8.3. Suppose -4*h - 3*a + 17 = -4*a, -12 = h + 3*a. Suppose -h*j + 0*j = 0. Sort l, 1/4, j. l, j, 1/4 Let s = -0.41 - -3.41. Put 4/3, s, -1 in descending order. s, 4/3, -1 Let z be (10/(-8))/(1/(-4)). Suppose n - z = -0*n + o, 4*n = 5*o + 22. Let k be 30/14 + (-1)/7. Sort k, 5, n in decreasing order. 5, n, k Let p = -0.19 - -0.2. Let y = -0.31 + p. Let a(m) = 2*m**2 - 1. Let j be a(1). Sort y, j, -3 in ascending order. -3, y, j Suppose -6*g - 22 = 5*g. Put g, 8, 0 in ascending order. g, 0, 8 Let g = 0.13 - 0.13. Let u = 25 + -29.3. Let s = u - -0.3. Put g, s, -0.1 in decreasing order. g, -0.1, s Let v be (-5)/((-5)/4) - -3. Suppose -4*n + 4*l - 23 = -v, n + 4*l - 16 = 0. Sort n, 3, -3. -3, n, 3 Let x = -0.64 + 5.64. Sort 0.2, -4, -0.01, x in increasing order. -4, -0.01, 0.2, x Let x(h) = h**3 - 10*h**2 + 9*h + 1. Let a be x(9). Let d = 0.61 - 0.01. Sort d, 2/5, a in decreasing order. a, d, 2/5 Suppose 2*d + 0*d = -3*y - 11, -5*d - 8 = y. Let h be 0 + -1 - (-1 - 2). Let x = -23/4 + 145/28. Put h, d, x in ascending order. d, x, h Let i = 5 + -5. Suppose -140 = 4*j - i*j. Let p = j + 211/6. Sort -2, p, 3 in descending order. 3, p, -2 Let j = -30 + 33. Let a = 3 + -8. Sort 4, a, j. a, j, 4 Let f = -132.2 - -136. Sort 0.5, f, 2. 0.5, 2, f Let v be 2/4 + 1/2. Put 10, -2, v in ascending order. -2, v, 10 Let a(n) = -n**3 + 4*n**2 + n - 1. Let u be a(4). Let k = 38 - 43. Sort u, -0.4, k in decreasing order. u, -0.4, k Let j = -0.152 + 5.102. Let u = 0.05 + j. Put u, -0.2, -0.1 in increasing order. -0.2, -0.1, u Suppose n + 19 = -4*h, 5*n - 5*h = -0*h + 30. Let r be n - (1 + 3/(-9)). Let q = -0.2 + 1.2. Sort 3, r, q in decreasing order. 3, q, r Let p = 7 + -11. Let l(k) = k. Let i be l(p). Sort -3, i, 3 in descending order. 3, -3, i Let o = -8 - -8.1. Put 0.3, o, -3 in descending order. 0.3, o, -3 Let q = 10 - 7. Suppose -q = f + 15. Let z be 1 + 1 + 38/f. Put 0.1, -4, z in ascending order. -4, z, 0.1 Let f be (16/(-6))/(2/(-3)). Put 0, f, -6 in decreasing order. f, 0, -6 Let p be (4/3)/(2/(-6)). Let t be p/(-14) + (-74)/14. Suppose -2*i - 4 = -2*b, b - 3 = -i - 3*b. Sort t, -4, i in descending order. i, -4, t Let q = 10 - 6. Sort -6, q, -4 in increasing order. -6, -4, q Suppose -5*a + 27 = 3*h, a + 24 = 3*h - 3. Sort h, -2, 2 in decreasing order. h, 2, -2 Let v = -0.46 - -0.06. Let h be ((-6)/(-3))/(20/(-50)). Put v, h, -2/17 in ascending order. h, v, -2/17 Let g(z) = z**2 + 3*z - 4. Let u be g(-3). Suppose 2 = -c, -6 - 10 = -3*r + 5*c. Let h = r + u. Sort h, -1, 4 in descending order. 4, -1, h Let t = -8.21 - -0.21. Let d = 31 - 23. Let b = t + d. Sort b, -0.2, 1 in decreasing order. 1, b, -0.2 Let f be (-3 - 1268/(-12)) + 1. Let z = -105 + f. Sort 0.2, -0.4, z in increasing order. z, -0.4, 0.2 Let g = 2 + -7/3. Let l = 2.5 + 0.5. Let y be 6/15*10/(-18). Put l, g, y in ascending order. g, y, l Let b(f) = f**3 - 7*f**2 - 7*f - 7. Let m be b(8). Suppose -2*r + 3 + m = 0. Suppose -5*a - 15 = 0, 5*y - a + 3 = -r*a. Put -5, -0.2, y in ascending order. -5, -0.2, y Suppose 0 = -o + 1 - 4. Put 1, o, -5, 3 in decreasing order. 3, 1, o, -5 Let n(d) = d**2 - 6*d + 5. Suppose -3*a = 2*a - 20. Let p be n(a). Put 1, p, 4 in decreasing order. 4, 1, p Let z be (1 + 2)/((-6)/(-8)). Suppose h - 2*h = 0. Sort h, z, -0.3 in descending order. z, h, -0.3 Let h = -31.3 - -30. Let y = -0.9 + -0.1. Let c = h - y. Sort 2, c, -2 in ascending order. -2, c, 2 Let q(t) = -2*t - 32. Let v be q(-13). Sort 5, 0.3, 0, v in decreasing order. 5, 0.3, 0, v Let w = 0.04 - -1.96. Let m(f) = 3*f - 3. Let h be m(2). Put -1/2, h, w in decreasing order. h, w, -1/2 Let b be ((-3)/26)/((-6)/(-8)). Let v = 534 + -534. Sort b, -0.5, v. -0.5, b, v Let j = 1.3 - 5.3. Sort j, -3/5, -1/2. j, -3/5, -1/2 Let r = -5.6 + 6. Sort 2, r, -1, 0.5. -1, r, 0.5, 2 Let x = 82376847524625 - 317314875273229562390/3851991. Let r = -742/2993 - x. Let s = r + 1/143. Sort s, -4, 0.4 in increasing order. -4, s, 0.4 Let s be ((-6)/(-4))/(1/2). Suppose -s*g - 2*g - 10 = 0. Sort g, -5, 1. -5, g, 1 Let f be (0 - 1/(-5)) + (-54)/450. Put 1, f, 2/3 in descending order. 1, 2/3, f Suppose -1 = 5*h + 24. Suppose 3*v + 3 = -0*v. Let z = v - h. Sort -4, 3, z in descending order. z, 3, -4 Suppose -2*m = -m - 3. Let g = 2 - m. Let z = g - -3. Put z, -4, 1/2 in ascending order. -4, 1/2, z Let n = 110 - 101. Put -1, -5, n in increasing order. -5, -1, n Suppose 10 - 64 = -6*k. Let x be 0*3/k - -5. Put -4, x, -2 in decreasing order. x, -2, -4 Suppose 3*z + 0*z = -12. Let p = -4 - -5. Put z, -1, p in decreasing order. p, -1, z Suppose 9 = d - 3*f, 0*f = 3*d - 4*f - 7. Suppose 0 = u - 5*u + 16. Put u, 0, d in decreasing order. u, 0, d Let u = 9 - 13. Let k = 6 - 6.4. Put 2/19, k, u in decreasing order. 2/19, k, u Suppose 2*o - 2 - 6 = 0, 0 = -4*c - 4*o. Sort -3, 0, c in decreasing order. 0, -3, c Let b be 2/7 + 80/(-182). Let r = -9 + 13. Let f = -4.3 + r. Put -5, b, f in decreasing order. b, f, -5 Let q = 0.071 - 7.471. Let d = -25 + 18. Let o = d - q. Sort o, -0.5, -5. -5, -0.5, o Suppose o + 0*o - 12 = 0. Suppose 5*y + 2*q - 18 = -3, 3*q + o = 4*y. Let s be (-1 - -1)/(4 + -5). Put -1, s, y in decreasing order. y, s, -1 Suppose -4*s - 24 = -4*c, 5*c = 2*s - 5 + 29. Let h(x) = -x**3 + 3*x**2 + 6*x - 5. Let g be h(c). Let t be 0/(2 + 3)*1/1. Put -1, g, t in increasing order. -1, t, g Let y be (8/12)/((-4)/(-6)). Let c(b) = b**3 + 3*b**2 - 6*b - 6. Let f be c(-4). Sort f, -3, y in decreasing order. f, y, -3 Let n = -3 + 3.5. Put 2, n, 5 in decreasing order. 5, 2, n Let j be -1 + 1 + (-2)/(-3). Put 1, 0, 1/8, j in descending order. 1, j, 1/8, 0 Let g = 0.6 + -1.6. Let m = -52/189 - 2/189. Let r be ((-2)/3)/(-1 + -1). Sort g, m, r in ascending order. g, m, r Let h = 2 - 1.9. Let l = -4183/11682 - 11/531. Let p = -1/22 - l. Put h, 3, p in decreasing order. 3, p, h Suppose -7*g = -g + 54. Sort -4, g, 1. g, -4, 1 Let a = -5 + 3. Let q(h) = -h**2 - 9*h. Let t be q(-9). Put 4, a, t in decreasing order. 4, t, a Let f be (-162)/(-21) + (-6)/(-21). Let i be (2/1)/(f/(-16)). Put 4, -1, i in decreasing order. 4, -1, i Let z = 0.86 + 0.14. Let r = -0.9 - -1. Sort z, -0.5, r in decreasing order. z, r, -0.5 Let d = -1.7 - 3.1. Let z = d + 0.8. Let i = -2 + -1. Sort i, z, 3. z, i, 3 Let w be (-4)/1 + 6 + 15/(-3). Let i = 13 - 8. Put 0, i, w in ascending order. w, 0, i Let d be 2 - -2 - 2/2. Suppose -j = x, 0 = 3*j - j - x. Put -2, d, j in decreasing order. d, j, -2 Let m = -19 + 15. Put m, -0.5, 5 in descending order. 5, -0.5, m Let f be (-3)/((-12)/16) + -5. Put 2/7, 0, f in decreasing order. 2/7, 0, f Let o = 2.9 + 0.1. Let x = 10 - 5. Sort -1, o, x in increasing order. -1, o, x Let k = 0.072 + 0.428. Put 0.04, 1/6, k, 3/2 in increasing order. 0.04, 1/6, k, 3/2 Let h = -13 - -9. Let s = 5 - 3. Sort s, h, -0.3. h, -0.3, s Let b = 1.13 - 1.53. Suppose -s + 1 + 0 = 0. Put s, b, 0 in descending order. s, 0, b Let u = -0.2 - 0. Let a(l) = 2*l**2 - l - 3. Let f be a(2). Sort -2, f, u in decreasing order. f, u, -2 Let o be 10/(-2)*78/(-15). Suppose -21*k + o*k = 25. Sort -5, -4, k in decreasing order. k, -4, -5 Let y(i) = i**3 + 16*i**2 + 14*i - 11. Let p be y(-15). Let g = 187/630 - 1/90. Sort -0.1, p, g in ascending order. -0.1, g, p Let a be 3*1/3 + -6. Let c be ((-1)/(-1))/((-2)/18). Let l be 94/18 - (-2)/c. Put a, l, 2/9 in increasing order. a, 2/9, l Let u = -6 + 8. Let f(m) = -u*m - 7 + 0 + 0. Let h be f(-6). Put -5, h, -4 in descending order. h, -4, -5 Let l = 4/39 + 109/78. Let s = 0 + -1. Let z be ((-6)/9)/(s/6). Sort z, 5, l in ascending order. l, z, 5 Let l(z) = z**3 - 16*z**2 + 16*z - 17. Let s be l(15). Let c = -3 - s. Sort 5, -4, c. -4, c, 5 Let h be (-7 - (-4 - 0)) + 0 + -1. Let t be ((-3)/(-9))/((-2)/(-12)). Sort h, -1/8, t in increasing order. h, -1/8, t Suppose -7 = -i - 2*p, -i - 6 - 7 = -3*p. Let a = -1 + i. Sort a, 5, -4 in decreasing order. 5, a, -4 Suppose -5*o + 3*y - 15 - 4 = 0, -4*o + 2*y = 16. Let v(l) = -l + 3. Let r be v(5). Let p(m) = -m. Let j be p(-2). Sort o, r, j in descending order. j, r, o Let r(h) = -h + 13. Let p be r(11). Suppose p*g + 9 = 1. Sort g, 1, 1/10 in decreasing order. 1, 1/10, g Let c be ((-2)/(-4))/((-6)/(-72)). Let h = 11
{ "pile_set_name": "DM Mathematics" }
5. Suppose -2*x + 33 = t. Calculate the least common multiple of x and w. 99 Let f(l) = -l**2 - 9*l - 4. Let j be f(-7). Suppose 0*i + i = -j. Let k = i - -26. Calculate the smallest common multiple of k and 12. 48 Suppose t + 35 = 6*t. Suppose -27 = -m - 2. Suppose 2*k = 5*r - 19, -2*r + m = 5*k - 0*r. Calculate the least common multiple of t and k. 21 Suppose 5*h = -t - 222080, -5*t - 177653 = 4*h - 2*t. Let p = h - -1332641/30. Calculate the common denominator of p and -49/15. 30 Let f(z) = z - 26. Let t be f(17). Let h = t + 8. What is the least common multiple of (-5)/5 + h + 4 and 11? 22 Let t be (-94)/(-37) + 1 + -4. Let h = t - 459/370. Calculate the common denominator of h and (-4)/(40/1965)*5/(-90). 60 Suppose -3*k - 111 = -2*w - 2*k, -w + 58 = -3*k. Calculate the least common multiple of 45 and w. 495 Let y(s) = 2*s**3 + 12*s**2 - 37*s - 37. What is the least common multiple of 296 and y(-8)? 888 Suppose 0 = -7*v + 378. What is the least common multiple of v and 36? 108 Suppose 4*b = 15 - 163. Calculate the common denominator of -11/24 and ((-1)/(-11))/((-1)/b). 264 Let a(m) = -m**3 - 58*m**2 + 57*m - 34. Calculate the smallest common multiple of a(-59) and 324. 2268 Suppose 6*k + v = 5*k - 362, 2*k + 745 = 5*v. Find the common denominator of k/(-2)*(-2)/(17 - 7) and 85/16. 16 Let b(c) be the second derivative of c**3/3 + c**2 + 8*c. Let v be b(-4). Find the common denominator of 51/72 - v/9 and 93/4. 8 Let s be (5 - (-70)/(-15))*-24. Calculate the common denominator of 15/2 and (-831)/216 - 1/s. 18 Let x = 2/51035 - 4746319/1633120. What is the common denominator of x and -121/192? 192 Let n(o) = 14*o - 208. What is the least common multiple of 236 and n(15)? 236 Let f = -1807830 - -36143163/20. Let z = f - -672. Find the common denominator of 30/((-1)/(8/(-6))) and z. 20 Let n = -6/473 - 584/1419. Find the common denominator of n and 82/33. 33 Let o = -1/112 + -2377/336. Let a(f) = 4*f**2 + 2*f - 2. Let z be a(-3). Calculate the common denominator of 4/(352/9)*z and o. 132 Let f = 2707/86 - 42/43. Let a be -1*1 + (-11 - -7 - -4). What is the common denominator of f and 15/140*(93/(-9) + a)? 14 Let g = -1284/17 + 17363/204. Calculate the common denominator of 37/476 and g. 1428 Let a = 108 + -248. What is the common denominator of -67/8 and 4/10 + (-314)/a? 56 Let m = 328 + -322. What is the smallest common multiple of 45 and m? 90 Let l be ((-13)/417)/((-26)/39). Let n = -14269/1946 + l. Find the common denominator of -75/2 and n. 14 Let q = 1339/96 - 25/32. Find the common denominator of q and 166*((-115)/40 + 3). 12 Suppose 8*o - 379 = -91. What is the least common multiple of 2 and o? 36 Let v = 645562/278749 - 2/14671. Calculate the common denominator of v and 11/3. 57 Suppose 170*w + 135 = 173*w. What is the lowest common multiple of w and 99? 495 Suppose 5*j = -25, -5*a + 14 + 31 = -4*j. Calculate the lowest common multiple of 457 and a. 2285 Suppose 3*s - 13 = 8. Let q = 13 - 20. Let c = -5 - q. What is the least common multiple of c and s? 14 Let r be (-6)/4 + 66/12. Suppose r*f - 60 = -4*a, 4*a + a = -4*f + 63. Calculate the lowest common multiple of f and 5/((-5)/3) - 9/(-1). 12 Let h(m) = 7*m**2 + 11*m - 9. Let z be h(5). What is the common denominator of -1 + (-142)/36 + -1 and (-350)/(-936) + 34/z? 36 Let k = -9008 + 189220/21. What is the common denominator of 23/35 and k? 105 Suppose 7*s - 20 = 12*s. Let f(x) = 2*x**2 + 5*x + 4. What is the least common multiple of 18 and f(s)? 144 Suppose 0 = -2*a + 4*c + 8, 27 = 4*a - 4*c - 5. Suppose -k + a = -3*b, -4*k - 4*b = -2*b - 20. Calculate the least common multiple of 3 and k. 6 Let k be (4 - 62/15)*11705. Let q = k - -1536. What is the common denominator of q and ((-124)/10)/((-120)/(-225))? 12 Let y be 0 + 1/(2600/816428798858). Let f = 314011046 - y. Let p = 752/25 + f. What is the common denominator of p and 33/16? 208 Suppose -2*q - 125 = -7*q. Let g = q - 14. What is the lowest common multiple of 5 and g? 55 Let a = 275 - 263. Let p be -2 + (-2)/(-1) + 6. Let y = a - p. Calculate the smallest common multiple of y and 2. 6 Let o = 24665/3484 - -10/2613. Find the common denominator of 44/273 and o. 1092 Let j = 405 - 389. Calculate the lowest common multiple of 138 and j. 1104 Suppose -230*d = -246*d + 144. Suppose -5*t - 15 = 0, -5*g + t - 5 = -63. What is the lowest common multiple of d and g? 99 Let j = 6407485/414 + -15477. Calculate the common denominator of j and 103/506. 4554 Let t = -8618 + 3909. Let h = t + 89518/19. Find the common denominator of h and 2 - (0 + (-225)/(-24)). 152 Let h = 47 + -29. Let j be (-5656)/6 - h/(-6). Let r = j + 959. Find the common denominator of r and -91/2. 6 Let i(f) = f**3 + 13*f**2 + 12*f + 4. Suppose 2*q + 26 = -2*j + 4*q, -3*q = -5*j - 63. What is the least common multiple of i(j) and 20? 20 Let z = -2061/344 - 38/43. Let p = -120 - -604/5. What is the common denominator of p and z? 40 Suppose -131*y - 297 = -140*y. Suppose -44 - 61 = -5*o. Calculate the lowest common multiple of y and o. 231 Let u(o) = -o**3 + 3*o**2 - 3*o + 5. Let i be u(5). Find the common denominator of 3 + (-5)/i + 0 and -2*3/(48/86). 12 Calculate the common denominator of -51/98 and (-1353)/(-112) - (-11 + 24). 784 Let v = 1 + 17. Let j(r) = -17*r + 1022. Calculate the smallest common multiple of j(60) and v. 18 Let h = 1524 + -24393/16. Let n be 1 - (-3)/(6/(-38)). Find the common denominator of n/(-44) + 3/(-6) and h. 176 What is the common denominator of (25/(-40))/((-9)/612) - 5 and 143/108? 108 Suppose 28 = 2*o - 32. Let i = -254 - -266. Calculate the smallest common multiple of i and o. 60 Find the common denominator of (-455)/171 + 32/304 and -55/6. 18 Suppose -4*b + 28 = -2*b. Let k = b - -3. Let i = 5 + k. Calculate the lowest common multiple of 4 and i. 44 Let d be 0/3 + (-90410)/11. Let t = d + 8236. Let u = t - 358/55. Find the common denominator of u and 37/11. 55 Let h = 21/856 + 31525/5992. Let l be 10/(-3) + (-4)/6. Find the common denominator of h and l/(-30)*213/4. 70 Let g = -9/3086 + 223789/18516. What is the common denominator of g and -2/3? 12 Let u(h) = -17*h**2 - 5*h + 2. Let y be u(3). Find the common denominator of (-1)/2*1*91 and 3*2/(-36) - y/(-21). 14 Let v = -40360/11 - -3664. Let p = 19367249185/15986554018 + 3960/284671. Let c = p + -21/1306. Find the common denominator of v and c. 473 Let w be (-4)/(4/4 + -3). Suppose -m + w*m - 5 = 0. Let p = -4 + m. What is the smallest common multiple of p and 2? 2 Suppose 3 + 3 = 3*r. Suppose -21 = -r*j - j. What is the smallest common multiple of 7 and 1/(1 + (-6)/j)? 7 Let m(s) = -45*s + 1. Let l be m(-1). Let j = l - 35. What is the smallest common multiple of 5 and j? 55 Suppose 0 = -4*x - 7 + 119. Let p = x + -24. What is the smallest common multiple of 2 and p? 4 Let k(b) = b**3 + 13*b**2 + 13*b + 18. Calculate the least common multiple of k(-12) and 24. 24 Suppose 0 = 5*m - 0*m - 100. Calculate the least common multiple of 40 and m. 40 Let i be -164*(5/45 - 0). Let u = -4352/225 - i. Calculate the common denominator of -47/2 and u. 50 Suppose 17*g + 210 = 890. Let j = g - 233/5. Calculate the common denominator of 51/56 and j. 280 Let t(g) = g**3 - 4*g**2 + 3*g - 3. Let h be t(3). What is the lowest common multiple of (1 - -1)*(-41)/(-2) - h and 4? 44 Find the common denominator of ((-3)/39)/((-432)/106 - -4) and 7/143. 572 Find the common denominator of -103/188 and -75*14/1176 - 0/1. 1316 Let h = -55926 - -3690983/66. What is the common denominator of -121/48 and h? 528 Let s = 247 + -239. Let r = 0 - 0. Suppose -s = -h - r. Calculate the lowest common multiple of 18 and h. 72 Let i be 0 - 2 - (-2)/(-1). Calculate the common denominator of -31/8 and (-135)/(-12) + i + 3. 8 Suppose -142 = -30*a + 278. Calculate the lowest common multiple of 198 and a. 1386 Let f = -241231/24 - -94097/8. Let m = -1720 + f. Calculate the common denominator of m and 285/56 - 4/(-14). 24 Suppose 2*u - 8 = -m - 3*u, -4*u - 8 = -4*m. Suppose 36 = 3*z + 3*n, z - n - m*n = 7. Suppose -9*l = -4*l - 40. What is the least common multiple of z and l? 88 Let v = -1974589/146 - -13525. What is the common denominator of -53/4 and v? 292 Calculate the common denominator of 12/(-2) - (2440/(-176) + 3)
{ "pile_set_name": "DM Mathematics" }
d less than x? False Suppose 5 - 2 = n. Suppose 5*p + n*a - 170 = a, -2*p = -2*a - 82. Let h be (-70)/(-72) - p/48. Which is bigger: h or 0.1? h Let v(g) be the third derivative of g**6/120 + g**5/15 - 5*g**4/24 - g**3/6 - 20*g**2. Let d be v(-5). Let w = -1/21 - 59/84. Which is smaller: d or w? d Let l = -37 - -11. Let o = -24 - l. Is o less than -2/3? False Let y = 255.68 - 274.227. Let u = 0.053 - y. Let a = 19 - u. Which is greater: -2 or a? a Let u = -189/2 + 98. Let a(z) = -3*z**2 + z + 12. Let y(v) = -10*v**2 + 2*v + 35. Let s(t) = -7*a(t) + 2*y(t). Let l be s(-3). Which is smaller: l or u? u Suppose -173*h = -182*h - 1233. Which is greater: -138 or h? h Let y be -37 + ((-4608)/(-18))/16. Let t = -24 - -1. Which is bigger: t or y? y Let v(i) be the first derivative of i**3/3 + 5*i**2/2 + 13*i - 32. Let a be v(0). Which is smaller: 11 or a? 11 Let b = 7.83 + -8. Let t = -2.17 - b. Let m = 2.1 + t. Are 9 and m equal? False Let y be 3 + 10 + -3 + 4. Suppose -3*b + 9 = 3*u, 9*u = 4*u - 4*b + y. Let w be ((-36)/21)/(-1) - u. Which is smaller: w or 10? w Let g be 25/(-34725)*4/2. Which is greater: 0 or g? 0 Let q be (-532)/380 + 56/(-10). Let w be 2/8 + (-1)/4. Which is smaller: w or q? q Let w be (13 - 2) + (-720)/63. Are -6/7 and w non-equal? True Let u = 15.9927 - -0.0073. Is u <= 16? True Let v = -8122944356/3549 + 2288798. Let d = -193509/169 - -1145. Let j = d + v. Is 0 <= j? False Let y be (15/(-6))/((-40)/96). Let b be -39*y/99 - -4. Suppose 4*j - 3*t - 3 = 5, -j + 2 = -2*t. Which is bigger: j or b? j Let f = 169/8 - 1793/72. Let i = -104/27 - f. Is i greater than 0? False Let z = -3 + 2.8. Let v = 0.11 + z. Let n = -2 + 3. Is n at most v? False Let l = 13 + -13.22. Let c = -0.47 - l. Which is smaller: c or -0.1? c Let v(h) = h**3 + 8*h**2 + 11*h - 7. Let t = 7 + -13. Let k be v(t). Is k greater than 5? False Suppose -8 = 5*t + 5*p - 453, -4*t + 365 = -5*p. Which is smaller: 87 or t? 87 Let t = 400 - 399. Is -8/31 less than or equal to t? True Let u = 190.8 + -191. Let d = 0.2 + 0. Let a = d + -0.1. Which is smaller: u or a? u Let n = 6.7 + -9.4. Let v = n + -1.3. Let k = v + 5. Is 4/5 > k? False Suppose 2*a + 3*k + 3 = -0, -5*a + 15 = 3*k. Let v be (-1 - 1) + 15/2. Which is smaller: a or v? v Let a be 20/((20/425)/(18/15)). Is a at most 511? True Let r = 6.6 - 37.6. Let j = r + 28.4. Is -0.2 >= j? True Let t = 109783/282 - 1168/3. Let y = 167/658 - t. Which is bigger: y or -2? y Let w = -502 - -10544/21. Let r(g) = -3*g - 5. Let m be r(1). Let x be 1 - 5 - 40/m. Is w at least x? False Let k = -186 - -79. Let a = 76 + k. Which is bigger: -32 or a? a Let u be (-9)/(-11) - (-2)/11. Let v be (0 + u)*(-10 + -1). Let s be 2*((-8)/(-28) + (-134)/28). Which is smaller: s or v? v Let v be (24/5 - 5)/(21/(-48)). Which is smaller: v or 0? 0 Suppose -869 = -135*s + 481. Let h be (6/4)/(9/51). Which is smaller: s or h? h Suppose 4*i - 4*l = -40, 6 + 2 = 2*l. Suppose -9 = 3*s + 15. Let m = s + 1. Is m > i? False Let j = 62/25 + -3212/1275. Suppose -2*p + 11 = 3*v, -3*p - v + 3 = 4. Let y = 1 + p. Is j less than y? False Let h = 2 - 2. Let g = 1487/15 - 99. Do g and h have the same value? False Suppose -5*a + 0 + 25 = 0. Suppose 4*j + a*y = 17 - 1, 0 = -j + 3*y - 13. Which is smaller: -1/32 or j? j Let h = 271431/23 + -11801. Suppose 4*w + 2 + 2 = 0. Which is smaller: h or w? w Let z be 20/30 + 14/6. Suppose -5*s + 3 = 3*n, 2*s = z*s - 3*n + 3. Is -31 at least as big as s? False Let c = 57.1 - 57. Which is greater: -27/16 or c? c Suppose 88 = -58*c + 47*c. Is -98/11 at least c? False Let b = -173.4 + 173. Which is greater: -3/16 or b? -3/16 Suppose 10*z + 3*z - 161 = -109. Let n = 0.313 + -2.283. Let j = -0.03 + n. Do j and z have different values? True Let z = -10 - -13. Let g = z - 2. Is 2/11 > g? False Let l = 2 - -1. Let w = -22 + 34. Let n be ((27/w)/l)/3. Which is smaller: n or 1? n Suppose 3*f + 5 = -1. Let y be (-4 - (4 + 0))/f. Suppose 2*c = 4*b - 2, -3*c - 6*b = -y*b + 19. Is -3 greater than or equal to c? True Let p(r) = -r**2 + 13 + 4 - 1 + 11*r. Let l be p(13). Is l > -3? False Let s = 89 - 3. Let d = -86.2 + s. Is 15 smaller than d? False Suppose -r - 27 = 2*r. Let b(g) = -g**3 - 9*g**2. Let z be b(r). Is z < -35? False Let i(b) = -4*b**2 + b. Let u be i(1). Let d be (3/u)/(1/(-18)). Let o be 1/((-3)/(3 + d)). Is -6 at most o? False Let b = 58 + -58. Let c be 3 + 0 + b + 196/7. Which is bigger: c or 30? c Let y(s) = -s**2 + 5*s - 9. Let u(a) = -4*a**2 + 15*a - 28. Let l(r) = -2*u(r) + 7*y(r). Let h be l(-6). Which is greater: -2 or h? h Let u = -73 + 72. Is u at least -38? True Let c(s) = s**2 - 7*s + 7. Let a be c(6). Let w be ((-5 - 4)/(-3))/a. Suppose w*p + 20 = -p. Do -5 and p have the same value? True Let a = -2.7 + 6.1. Let s = -3.3 + a. Is -4 at most as big as s? True Let j = 312 - 2187/7. Which is smaller: -1 or j? -1 Let i = 455 - 446. Which is smaller: i or 0? 0 Let n = -375 - -375.8. Let g = 5.871 - 0.071. Let s = n - g. Is s at least as big as -1? False Suppose 12 = 4*u + 32, 5*u = 2*s + 13. Is s bigger than -109/6? False Let l = 19 - 17.1. Let u = l + -0.9. Let k be 0/1 - -3 - 64/28. Which is greater: u or k? u Suppose 0 = 4*i - 1693 - 1419. Let w be i/(-13) + 2/(-13). Let t be ((-8)/w)/(3/18). Is 1 at least as big as t? True Let n = 46 - 48.5. Let f = 0.5 + n. Which is greater: 0.6 or f? 0.6 Let q be 46/6 + 8/24. Let f be (q/(-110))/(6/(-15)). Let j = 31 - 32. Are f and j nonequal? True Let r = -101 - -101.085. Let w = 67.915 + r. Is w smaller than -1? False Let o = 108 + -110.3. Let j = -16.3 - o. Is j bigger than 5/3? False Suppose 8 + 12 = 5*x, 3*u + x = 4. Suppose -5*h - 2*i + 29 = 0, u*i = 4*h - 2*i - 16. Suppose -h*j + 16 = -9, -3*j + 15 = -3*c. Is c at least as big as -1/4? True Suppose -5*i - 3*w = 1800, 0 = i - 4*w - 1 + 384. Let l be -183*(-4)/i - 4/(-2). Which is greater: 1 or l? 1 Let q = 20 - 34. Let d = -28 - q. Suppose 8 = -7*f + 1. Are f and d non-equal? True Let a = -1143 + 1157.93. Let x = 15 - a. Let z = 84.1 + -84. Which is smaller: x or z? x Let w = 18 + -10. Suppose 184 = -0*f - w*f. Which is bigger: -24 or f? f Let t = -31199/16648 - 2/2081. Suppose 0 = v + 5*l + 17, -389*l + 392*l = -5*v - 19. Which is greater: t or v? t Let v = -586 - -585. Which is greater: 1.15 or v? 1.15 Let d(b) = b**3 + 5*b**2 - 23*b - 1. Let s be d(-8). Is -0.9 at most as big as s? False Suppose -3*g + 2*x - 154 = 0, -4*g + 5*x + 290 = -9*g. Which is smaller: -55 or g? -55 Suppose 7 = 3*s + 5*b - 0*b, 4*b = -s. Let p(q) = -q**3 - 4*q**2 - q - 4. Let t be p(-4). Let f be -6 - (t - (s + -1)). Are -2 and f equal? False Let n = -2335/2581 - -13/89. Is -2 at least as big as n? False Let r = 0.417 + -0.317. Which is smaller: r or -34? -34 Let q be 2/(-2*5/70). Which is greater: q or -104/7? q Let w = 86 - 83. Suppose -2*n - w = -5*n. Which is smaller: -14 or n? -14 Let b be -4 + 0 + 2 + 162/87. Is 1 at most as big as b? False Let m = 3.4 - -3. Let d = m + 4.6. Let r = -7 + 7. Which is smaller: r or d? r Let j = 29.5 + -25.5. Is j greater than -0.84? True Let y = 54 + -698/13. Let x be (-2)/3*(-324)/24. Suppose -3*l - 6 = -x*l. Which is smaller: l or y? y Let x be 385748/600 - 2/(-12). Let b = -643 + x. Is b less than or equal to 1/2? True Let f be (1 + -1)/(1 - -2). Which is greater: 21 or f? 21 Suppose 3*p - 21 = 3*v, 0*p + 2*p = -v - 22. Let u = -17 - v. Let j = -995/3 - -328. Which is bigger: u or j? j Suppose 30*d - 5*d + 75 = 0. Is d at most -23/6? False Suppose -71*w + 78*w = 14. Which is smaller: w or 1? 1 Let y = -793/3 + 283. Which is greater: 18 or y? y Suppose s = -100 + 65. Suppose j - 5*j - 144 = 0. Is j > s? False Let p = -28048/9 + 4515758/1449. Which is bigger: p or 1? 1 Let k = -8 - 3. Let t = -10 - k. Let j be (2 + t)*(-4)/16. Are -2 and j nonequal? True Let c = 10.2 - 9.2. Which is smaller: 2/489 or c? 2/489 Let u be (-12)/(-20)*(-322)/(-6). Is u greater than 31? True Let k = -616 - -1401. Suppose -k + 239 = 14*n. Which is smaller: n or -37? n Let p = -44 + 49. Suppose -4*h - 3 = -a - 12, -p*h = -10. Is 1/22 <= a? False Let n(v) = -3*v**3 + 10*v**2 + 15*v - 28. Let a be n(4). Which is smaller: 8/131 or a? a Let z be (-1)/(7 + -5 + (-325)/165). Is -27 equal to z? False Let h = -40 - -38.4. Are -0.2 and h e
{ "pile_set_name": "DM Mathematics" }
)/x? 7 Let u = -28 + 879. What is the hundreds digit of u? 8 What is the tens digit of (7 + -533)*(-1)/2? 6 Let f(k) = 8*k**2 - 2*k - 6. What is the units digit of f(8)? 0 Suppose -632 = -2*o + 4*k, -9*k + 20 = -4*k. What is the tens digit of o? 2 Let p be (-6)/(-2) - (-13 - -11). Suppose -7 = -p*c + 28. What is the units digit of c? 7 Suppose -h - 2 + 4 = 0. Let p(d) = 15*d**2 - 3*d - 3. What is the units digit of p(h)? 1 Let d(s) = -s**3 - 13*s**2 + 42*s - 54. What is the units digit of d(-16)? 2 Let p(n) = -94*n + 3. Let y be p(-1). Let r = 252 - y. What is the tens digit of r? 5 Suppose -5*g - 3*y - y + 1025 = 0, 0 = 5*y + 25. Let u = -118 + g. What is the tens digit of u? 9 Suppose 0 = -7*j + 6690 - 642. Suppose -7*v + j = -v. What is the units digit of v? 4 Suppose 0 = 2*d - 2, 3864 = 2*w - 0*d - 4*d. What is the tens digit of w? 3 Let r(h) = h**2 - 4*h + 4. Let m be 2/(-10) + (-21)/(-5). Let k be r(m). Suppose 3*p - 137 = 4*x, -15 = k*x - x. What is the units digit of p? 9 Suppose -6 = -4*r + 658. Let z be r/4 - 6/4. What is the units digit of z*((-44)/20 + 3)? 2 Let g = 118 - 199. Let b = -30 - g. What is the units digit of b? 1 Let p = -27 - -29. Suppose -p*c = -4*c. Suppose -3*w - 37 + 259 = c. What is the units digit of w? 4 Let a(c) = c**2 - 2*c - 8. Let d(h) = h**3 - 7*h**2 + 2*h - 8. Let s be d(7). Let y be a(s). Suppose -7*m + y = -3*m. What is the units digit of m? 4 Let k(x) = 2*x + 19. Suppose -3*p - 56 = p. Let z be k(p). Let l(g) = g**3 + 8*g**2 - 12*g - 13. What is the units digit of l(z)? 4 Let w = 430 + -196. What is the units digit of w? 4 Let v(d) = 3*d - 1. Suppose s - 5*s = -60. Let q be v(s). Suppose 0 = -3*g + 2*m + q, -4*g + 0*m - 2*m + 68 = 0. What is the tens digit of g? 1 Let f(w) = -151*w**3 + 2*w - 1. Let b be f(1). Let o = -65 - b. What is the tens digit of o? 8 Suppose 11*b - 2722 = 1469. What is the tens digit of b? 8 Let l be ((-16)/10)/(10/25). What is the units digit of ((-10)/8)/(l/384)? 0 Suppose -m + 0*m = -8. Let k(n) = m + 1 + 2*n + n - 2. What is the tens digit of k(8)? 3 Let k(t) = t + 54. Suppose -5 = u + 5*y, 3*u - 3*y = -1 + 4. What is the tens digit of k(u)? 5 Let n(v) = -5*v + 50. Let m(g) = -11*g + 100. Let d(t) = -6*m(t) + 13*n(t). What is the units digit of d(0)? 0 Let j be (4 + 9/(-2))*-4. Suppose j*z - 8 = 414. What is the hundreds digit of z? 2 What is the tens digit of 12360/48*(-1 + (5 - 2))? 1 Suppose -w - 2 + 3 = 0. Let t(g) = -2 + 2 - 2 - 9*g - w. What is the units digit of t(-4)? 3 Let u = 37 + -5. What is the units digit of (7 + -4)/(3/u)? 2 Let o be -25 + 21 + 1 + 0. Let s = 32 + o. Suppose -3*i = j - 24, i + 5*j - s = -i. What is the units digit of i? 7 Let c(f) = 122*f**3 + 9*f**2 - 8*f - 3. What is the tens digit of c(2)? 9 Suppose t - 2 = 0, -164 = -3*m + 4*t + 1595. What is the units digit of m? 9 Suppose -3*u - 4*w + 2194 = 0, 7*u - 9*u - w + 1466 = 0. What is the tens digit of u? 3 Let u = -26 + 41. Let l = u + -21. Let d(n) = -n**2 - 8*n - 2. What is the tens digit of d(l)? 1 Suppose -3*w - 6 = 5*z + 2, -4*w + z = -20. Suppose w*x - 55 = -7. What is the tens digit of x? 1 Let x = 117 + -98. Suppose x*h - 16*h = 516. What is the tens digit of h? 7 Suppose -5*k - 177 = -5*b + 1988, -5*b - 5*k = -2215. What is the units digit of b? 8 Suppose 8 = d - 4. Suppose d = -2*t + 70. What is the tens digit of t? 2 Let m(d) = -4*d + 20. Let p(a) = a**3 - 8*a**2 - 2*a + 5. Let y be p(8). What is the units digit of m(y)? 4 What is the tens digit of (-16)/(-4) - 2 - (-723 - -16)? 0 Let y(x) = 2*x - 2. Let h be y(-3). Let v be (-1)/3 - h/(-12). What is the units digit of v*(-2)/1 + 4? 6 Suppose 3*s = 8 - 2. Suppose -2*m + 19 = m + j, -30 = -5*m - s*j. Suppose -4*y - m = 0, -5*r + 90 + 103 = -4*y. What is the tens digit of r? 3 Suppose d - 2*c + 7*c - 82 = 0, c + 310 = 3*d. Let s = 152 - d. What is the units digit of s? 0 Suppose 0 = -3*o - 2 + 2. Suppose -5*k = o, -4*b + 5*k + 364 = 132. What is the tens digit of b? 5 Let f = 120 + 0. Let s = f + -1. Suppose 3*g = 2*b - s, b - 183 = -2*b + 3*g. What is the units digit of b? 4 Let n(f) = -f**3 + 33*f**2 - 7*f - 29. What is the thousands digit of n(17)? 4 Let w(n) = -n + 3. Let j be w(3). Suppose -3*b + j*b = -33. Suppose x = 16 - b. What is the units digit of x? 5 What is the units digit of (579 - 179) + -2 + 0 + -3? 5 Let i(l) = 2*l - 2. Suppose 3*j = -5*q + 7 - 1, 4*q + j = 9. Suppose 0 = 4*d - q*d - 5. What is the units digit of i(d)? 8 Let s = 30 - -319. What is the units digit of s? 9 Suppose 13911 = 4*s - f, 5*s - 17400 = -5*f + 10*f. What is the hundreds digit of s? 4 Let p be (26/39)/((-1)/(-18)). What is the tens digit of (-560)/p*12/(-8)? 7 Let b be 8/36 + (-326)/9. Let n = b - -59. Suppose -u + 5*z = n, 3*u + 0*u - 3*z = -9. What is the units digit of u? 2 Let h(k) = -k**2 + 20*k - 27. Let r be h(17). What is the units digit of 4/r + 0 + (-790)/(-12)? 6 Suppose g - 6*g + 225 = 0. Let i be (18/5)/(6/g). Let q = i - 0. What is the tens digit of q? 2 Let i be (-3 - -3)/(-3 - -2). Let q be (-69)/(-2)*(2 + i). Suppose -4*v = -4*x - 0*v + 128, 2*x = 3*v + q. What is the units digit of x? 7 Suppose 23 = -5*q + 2*t + 1, 5*q - 5*t + 10 = 0. Let b(o) = o**3 + 7*o**2 - 2*o - 7. What is the tens digit of b(q)? 4 What is the units digit of (-7763)/(-28) - 25/20? 6 Let y(i) = -2*i - 3. Let m be y(-3). Suppose -m*a + 378 = 4*a. What is the tens digit of a? 5 Suppose f + 14*t - 4310 = 11*t, 17218 = 4*f + t. What is the units digit of f? 4 Let b(y) be the second derivative of -8*y + y**3 + 1/2*y**2 + 1/4*y**4 + 0. What is the tens digit of b(-4)? 2 Let k = 331 + -241. What is the tens digit of k? 9 Suppose -9 = -5*g + 1. Suppose 5*t + 0*t - 10 = 0, -g*t = -4*o + 300. What is the tens digit of o? 7 What is the hundreds digit of (-3)/(-2) + 1810*2/8? 4 Let p(z) = 26*z + 1 - 5 + 7 + 4. What is the tens digit of p(3)? 8 Let i = 24 + -21. Suppose 0 = -i*h - 5*g, -4*h + 8 = 3*g + g. Suppose m = 6 + h. What is the units digit of m? 1 Let r(o) = -120*o**3 - 16*o**2 - 16*o - 1. Let y(b) = 24*b**3 + 3*b**2 + 3*b. Let v(p) = -2*r(p) - 11*y(p). What is the units digit of v(-2)? 2 Suppose 5*r + 369 + 129 = u, 5*r = 25. What is the units digit of u? 3 Let f(j) = -j**3 + 2*j**2 - j + 5. Let y be f(0). Suppose i + 405 = -0*m + 5*m, y*i - 25 = 0. What is the tens digit of m? 8 Suppose -435 = 2*p - 2941. What is the tens digit of p? 5 Let g be 2/(-11) + 1002/66. Let l be 123 + (g/(-5))/(-1). Let j = l + -72. What is the units digit of j? 4 Let d = -1 - -1. Suppose d = -3*t + 2 + 7. Suppose -84 = -6*g + t*g. What is the units digit of g? 8 Let w(m) = -295*m - 120. What is the thousands digit of w(-6)? 1 Let n = 31 + -21. Suppose 5*v - n = 0, -5*v + 84 = 4*l - 118. What is the tens digit of l? 4 Suppose 2*a + 2 - 4 = 0, -1310 = -5*f + 5*a. Let j = f - 154. What is the hundreds digit of j? 1 Let y = -2792 - -5018. Suppose -970 = -17*q + y. What is the units digit of q? 8 What is the tens digit of ((-60)/(-135))/((-4)/(-18)) + 191? 9 Let s(o) = -2*o - 7. Let n be s(-3). What is the units digit of 4/(n - (-60)/57)? 6 Let x(f) = 3*f**2 - 25*f + 17. Let k(h) = 8*h**2 - 76*h + 50. Let s(n) = 4*k(n) - 11*x(n). What is the tens digit of s(-26)? 9 What is the units digit of ((-204)/255)/((-2)/1925)? 0 Suppose 4*m = -0*k + 3*k + 21, 2*k = 3*m - 15. Let j(b) = -6*b + 13. What is the tens digit of j(k)? 3 What is the units digit of ((-7380)/450)/((-2)/80)? 6 Let y(p) = -5*p**3 - 2*p**2 + 5*p + 3. What is the hundreds digit of y(-4)? 2 Let t(v) = 2*v**3 - 4*v - 11. Let x(k) = 2*k**3 - k**2 - 4*k - 12. Let m(y) = -6*t(y) + 5*x(y). Suppose 119*o - 115*o = -16. What is the tens digit of m(o)? 3 Let x = 633 + -171. Suppose -12*q + x = -390. What is the units digit of q? 1 Let n(m) be the first derivative of -m**3/3 + 3*m**2/2 + 4*m - 5. Let w be n(-3). Let i = 21 + w. What is the units digit of i? 7 Suppose -12 + 16 = 2*m. What is the tens digit of (2*m)/((-6)/(-135))? 9 Suppose 9*g - 336 = 276. What is the tens digit of g? 6 Suppose 0 = 11*n - 38325 - 10911. What is the thousands digit of n? 4 Let g(m) = -m**2 - 12*m - 8. Let o be g(-11). Suppose -361 = 5*v - 3*k, o*k = 2*v - 53 + 201. What is the tens digit of v/(-5) - 2/10? 1 Let f be (8 + -77)/(6/(-20)). Suppose 2*r + h
{ "pile_set_name": "DM Mathematics" }
*4/24 + 5*b**3/3 - 2*b**2 - b. Let g(l) = -772 - 4*l + 386 + 386. What is c(g(y))? -4*y + 10 Let f(y) = 4*y - 11. Let o(a) be the second derivative of 11*a**4/3 - 4743*a. Determine f(o(l)). 176*l**2 - 11 Let w(g) = -3*g + 1. Let j = 54 - 52. Let h(a) = a - 1. Let l(i) = j*w(i) + 2*h(i). Let p(o) be the third derivative of o**5/30 - 3*o**2. What is l(p(r))? -8*r**2 Let t(u) = -42*u + 1. Let a(w) be the second derivative of -w**3/3 + 622*w. Calculate t(a(y)). 84*y + 1 Let b(n) be the second derivative of n**4/4 - 7*n**2 + 185*n + 5. Let c(p) = -10*p**2. Give c(b(t)). -90*t**4 + 840*t**2 - 1960 Let z(o) = o. Let r(y) be the first derivative of 34*y**3/3 + 90*y + 813. Determine r(z(v)). 34*v**2 + 90 Let q(u) = 2*u**2. Let p(z) = -235015725*z**2. Calculate q(p(v)). 110464781994551250*v**4 Let h(r) = -40*r. Let u(t) be the second derivative of -61*t**4/12 + 5900*t. Give h(u(v)). 2440*v**2 Let f(v) = -407*v + 72. Let c(t) = -2849*t + 539. Let z(j) = 2*c(j) - 15*f(j). Let q(u) = -18*u. Give z(q(m)). -7326*m - 2 Let k(u) = 19*u. Let v(i) = -5*i + 462. Give k(v(w)). -95*w + 8778 Let d(i) = -45 - 44 - 49 + 138 + 44*i. Let n(k) = -2*k + 4. Let r(b) = 4*b - 9. Let m(u) = 9*n(u) + 4*r(u). What is m(d(g))? -88*g Let x(j) = -22*j - 33. Let z(q) = q + 1. Let f(m) = -2*x(m) - 66*z(m). Let t(r) be the second derivative of 0*r**2 + 0 + 1/2*r**3 - 207*r. What is f(t(p))? -66*p Let s(g) = -2*g + 31. Let d(b) = -48*b + 161. Let h(r) = 39*r - 132. Let l(v) = 9*d(v) + 11*h(v). Determine l(s(z)). 6*z - 96 Let p(o) = 30*o. Let g(m) be the second derivative of -m**4/12 - 5*m + 205. Calculate g(p(r)). -900*r**2 Let o(f) = -46193463*f. Let w(n) = 2*n. Determine o(w(v)). -92386926*v Suppose 0 = -t - 0 + 3. Suppose -14 = -t*s + s. Let k(f) = -3*f**2 - 3*f**2 + s*f**2. Let z(a) = -12*a**2. Determine k(z(h)). 144*h**4 Let j(u) = -u. Let w(g) = -84677951*g. Calculate w(j(c)). 84677951*c Let q(l) = -9*l**2 + 240. Let k(a) = -40*a**2 + 962. Let r(c) = -2*k(c) + 9*q(c). Let x(s) = -3*s. Determine x(r(n)). 3*n**2 - 708 Let c(t) = 8*t**2 - 1712. Let m(b) = -3390*b. Calculate c(m(l)). 91936800*l**2 - 1712 Let l(t) = 167*t + 22. Let d(y) = -37169*y. What is d(l(u))? -6207223*u - 817718 Let s(m) = -4*m + 72. Let k(y) be the first derivative of y**4/24 - 8*y**2 + 8. Let b(v) be the second derivative of k(v). What is s(b(i))? -4*i + 72 Let h(t) = 1045*t**2 + 25*t**2 - 435*t**2. Let i(u) = 2*u. What is i(h(l))? 1270*l**2 Let h(q) = -75*q - 2. Let d(y) be the third derivative of 0*y**3 + 1/12*y**4 + 0*y + 32*y**2 + 2. Give d(h(a)). -150*a - 4 Let a(u) be the second derivative of -5*u + 0*u**2 + 5/6*u**3 + 5. Let c(g) = -g**2 + 4*g**2 - 2*g**2. Calculate a(c(y)). 5*y**2 Let z(i) be the third derivative of -5*i**4/8 + 181*i**2 + 8*i. Let w(g) = -255*g**2. What is w(z(y))? -57375*y**2 Let w(g) = g. Let c(d) be the third derivative of 0*d**4 + 9/20*d**5 + 0 + 0*d + 94*d**2 + 0*d**3. What is w(c(u))? 27*u**2 Let w(m) be the second derivative of 27*m**3 + 2980*m. Let g(p) = -11*p**2. What is w(g(j))? -1782*j**2 Let b(l) = 366*l. Let k(i) be the third derivative of -i**4/12 - 121*i**2 + 2*i. Determine b(k(n)). -732*n Let c(a) = 375602945*a**2. Let b(i) = i**2. Determine c(b(w)). 375602945*w**4 Let k(u) = 2*u + 172. Let v(r) = -241 + 652 - 16*r**2 - 411. Calculate k(v(g)). -32*g**2 + 172 Let r(b) = -35*b + 6. Let c(w) = 3482109*w**2. What is r(c(x))? -121873815*x**2 + 6 Let j(d) = 6*d. Let t(w) = -870507*w**2. Calculate t(j(c)). -31338252*c**2 Let k(p) be the second derivative of 0*p**2 + 35*p + 1/6*p**4 + 2 + 0*p**3. Let z(s) = 157*s**2. What is z(k(g))? 628*g**4 Let k(z) = 15*z**2 - 23*z + 21. Let d(x) = 23*x. What is k(d(c))? 7935*c**2 - 529*c + 21 Let x(w) be the first derivative of 1 - 74/3*w**3 + 0*w**2 + 0*w. Let i(s) = -2233*s - 2364*s + 4596*s. What is x(i(b))? -74*b**2 Let b(c) = 16*c**2. Let m(y) = 519995*y. Determine m(b(v)). 8319920*v**2 Let a(z) be the first derivative of -2*z**3 - 120. Suppose 0 = -5*p - 3*j + 4*j + 7, j = 3*p - 3. Let w(n) = -p*n + 4 - 4 + 0. Calculate a(w(f)). -24*f**2 Let t(s) = 2*s**2. Let q(l) be the second derivative of -l**3/2 + 36*l**2 - 1056*l + 3. Determine q(t(j)). -6*j**2 + 72 Let r(y) = y**2. Let z(b) = -20*b - 23. Let t(k) = -22*k - 33. Let w(o) = 4*t(o) - 5*z(o). What is r(w(f))? 144*f**2 - 408*f + 289 Let w(r) = 196*r - 666*r + 278*r + 192*r - r**2. Let g(d) = 1. Let m(j) = 666*j - 148. Let z(f) = 148*g(f) + m(f). Give w(z(y)). -443556*y**2 Let j(p) = 2*p - 430 + 215 + 211 - 3*p**2. Let z(y) = y**2 - y + 2. Let b(n) = -2*j(n) - 4*z(n). Let i(k) = -1 + 1 + 0*k**2 - 2*k**2. Determine b(i(o)). 8*o**4 Let t be (0 - -60)/(15/390*13). Let u(c) = 120*c + t*c - 362*c + 119*c. Let s(d) be the second derivative of 7*d**3/2 - d. Determine s(u(g)). -63*g Let c = 39 + -75. Let f be 6/c + 2/12. Let n(s) = 2*s**2 + f*s**2 - 5*s**2 - 5*s**2. Let b(h) = -2*h. Determine n(b(o)). -32*o**2 Let r(y) = -7*y + 9. Let u(a) = -3*a + 4. Let p(n) = -4*r(n) + 9*u(n). Let j = -126 + 135. Let o(s) = j*s**2 - 6*s**2 - 11*s**2. Calculate o(p(z)). -8*z**2 Let j(m) = -431*m + 15. Let o(z) = -970*z + 30. Let r(d) = 9*j(d) - 4*o(d). Let u(l) = l - 3. Determine u(r(c)). c + 12 Let j(g) = -23*g - 4*g + 130 + 296 - 425. Let n(w) = -49*w**2. Calculate n(j(z)). -35721*z**2 + 2646*z - 49 Let q(k) = 98*k**2. Let f(z) = 6*z + 2. Let v be (-1 - 5/(-4)) + 9/(-4). Let g(h) = -h**2 - 9*h - 3. Let p(u) = v*g(u) - 3*f(u). What is p(q(y))? 19208*y**4 Suppose -7 - 13 = 4*q. Let s(v) = -8*v. Let o(j) = 7*j. Let p(w) = q*o(w) - 6*s(w). Let h(y) = 2*y + 21 + 4 - 25. Determine p(h(f)). 26*f Let g(b) be the first derivative of 23*b**6/360 + b**5/60 + 47*b**3/3 + b**2 + 82. Let h(d) be the third derivative of g(d). Let m(w) = w**2. Determine h(m(k)). 23*k**4 + 2*k**2 Let t(d) = 5758*d + 5869*d - 11626*d. Let c(z) = z. Let h(m) = -167*m**2 - 1002*m. Let g(j) = -1002*c(j) - h(j). What is g(t(s))? 167*s**2 Let c(p) = 270635*p**2. Let l(o) = -6*o. Give c(l(t)). 9742860*t**2 Let j(t) = t. Let c(n) = -245574663*n**2. What is j(c(y))? -245574663*y**2 Let d(n) be the third derivative of n**5/12 - n**2. Let y(o) = -108*o - 18. Let z(b) = 50*b + 8. Let k(x) = 4*y(x) + 9*z(x). What is d(k(c))? 1620*c**2 Let c(j) = -2*j**2 + 2575*j - 510*j + 3*j**2 - 349*j + 520*j. Let x(k) = -2*k**2. What is c(x(m))? 4*m**4 - 4472*m**2 Let l(n) = -3*n**2. Let j(k) = -12*k - 66902. What is j(l(v))? 36*v**2 - 66902 Let x(o) = -200254*o**2 - 449*o + 449. Let y(b) = 894*b**2 + 2*b - 2. Let z(n) = 2*x(n) + 449*y(n). Let q(l) = -2*l**2. Calculate z(q(j)). 3592*j**4 Suppose -480 + 536 = -8*m. Let o(d) = 14*d + 12. Let w(s) = 16*s + 14. Let h(n) = m*o(n) + 6*w(n). Let x(l) = 8*l + 6. Give h(x(q)). -16*q - 12 Let j(y) = -y - 36. Let l(s) = 2*s**3 + 13*s**2 - 23*s + 10. Let q be l(-8). Let i(u) = 81 - 35 - 46 + q*u. What is j(i(w))? -2*w - 36 Let u(x) = 2*x**2 - 63. Let r(f) = f + 801 - 1638 + 841. Determine r(u(i)). 2*i**2 - 59 Let j(n) = 51310*n**2. Let f(l) = -3189*l**2. Give j(f(u)). 521808384510*u**4 Let p = -102 - -110. Let m(r) = -5*r + 5*r - p*r**2 + 9*r**2 - 2*r**2. Let u(v) = 6*v - 9. Let b(o) = 3*o - 5. Let g(w) = -9*b(w) + 5*u(w). What is m(g(i))? -9*i**2 Let y(c) = -9*c**2. Let j(l) = 5*l**2 + 173 - 74 - 25 - 70. Let o(a) = -2 + 3 - 2. Let q(t) = -j(t) - 4*o(t). Give y(q(g)). -225*g**4 Let c(p) be the second derivative of 2*p**7/315 - p**4/4 - 2*p + 115. Let f(s) be the third derivative of c(s). Let l(m) = 0*m - m + 0*m. Calculate f(l(v)). 16*v**2 Let i(o) be the second derivative of 67*o**3/3 + o**2 - 47*o. Let k(n) be the third derivative of n**5/30 + 15*n**2. Calculate k(i(g)). 35912*g**2 + 1072*g + 8 Let t(v) = 3*v. Let w(r) = -114449*r**2 - 7*r + 7. Give w(t(y)). -1030041*y**2 - 21*y + 7 Let i(f) = 5*f**2. Let g(h) = 32218779*h. Calculate g(i(u)). 161093895*u**2 Let b(u) = -5 + 34*u**2 + 8 - 3. Suppose 5*t - 22 = -7. Let k(p) = t*p - 5*p + 0*p. Give k(b(s)). -68*s**2 Let k(v) = -239175*v + 6*v**2 + 239175*v. Let q(m) = 1. Let r(n) = 4*n**2 - 2. Let w(c) = 6*q(c) + 3*r(c). What is k(w(z))? 864*z**4 Let o(h) = 22*h. Let s(r) = 4748968*r**2. What is s(o(d))? 2298500512*d**2 Let a(q) = 94*q**2. Let l(k) = 49*k**2 - 2315*k - 1. Determine l(a(n)). 432964*n**4 - 217610*n**2 - 1 Let i(o) be the second derivative of 121*o**4/12 -
{ "pile_set_name": "DM Mathematics" }
*z - 21 = -c*m, 4*z = s - 3 for m. 2 Suppose 33 = -43*t + 162. Solve -5*q = t*n + 23, -4*n - q + 26 = 34 for n. -1 Let r(n) = -18*n + 126. Let u be r(7). Suppose x - 4*x = -12. Suppose -2*w = 3*w - 5*d + 5, w - x*d + 4 = 0. Solve -5*o - 17 = m - w*o, -3*m - o - 9 = u for m. -2 Suppose 5*f = 2*y - 116, 5*y + 2*f + 2*f = 224. Suppose 0 = 5*l - l + y. Let h be l/(-20) + (-7)/(-5). Solve -4*r = g + 3, -g - h = r + 1 for r. 0 Let c = 20 + -10. Let m be 3*-1*c/(-15). Suppose -2*z - 5*n + 39 = 0, -n + 5 = m. Solve -4*t + 5*i - i = -z, 0 = 3*t + 2*i + 16 for t. -2 Suppose 5*x + 1600 = 2*i + 1636, -4*x = i - 8. Let t be (2 + -1)/((-1)/(-2)). Let y = -8 - -12. Solve -t*n + 4*f = 6, -12 = x*n - y*f + 3*f for n. -3 Let p(u) be the second derivative of 3*u**3/2 + 111*u**2 - 9*u. Let h be p(-24). Solve -14 = -r + s - h*s, 5*r - 5*s - 10 = 0 for r. 4 Suppose 4*c - 237 = 3*f, -c + 9 = 5*f - 33. Suppose -c - 33 = -18*b. Solve -2 = -4*v + o, 2*o - 11 = -b*v - o for v. 1 Suppose -4*h + 262 = 430. Let q be 0*(2/(-11) + h/132). Solve 5*j - 5*a + 10 = q, 0 = -5*j - 0*a - 4*a + 26 for j. 2 Let r = 165 - 165. Solve -6*k + 4*u = r, 0 = 5*k + 5*u - 4 - 21 for k. 2 Let d be (-6 - -7)/(1/5). Let l be 16/(d/4 - (-1 + 2)). Let c = 65 - l. Solve -6 = 5*v - m - c, -5*m - 15 = -5*v for v. -2 Let c = -34 + 43. Let z be (-9)/c*(1 + -21). Let a be 3/((-2)/20*1*-6). Solve l + 0*l - 4*j - z = 0, a*j = -20 for l. 4 Let z = 406 + -397. Let l be 3/(-4) + (-72)/32. Let q(u) = u**3 + 4*u**2 + 4*u + 5. Let a be q(l). Solve 0 = -3*i + z, 6*r + 3*i - 21 = a*r for r. 3 Let o(d) = 60*d**2 + d - 4. Let t be o(2). Let g = t + -236. Solve g*x = -5*q - 2, -2 = 2*x + 2*q - 6 for x. 4 Let v = -100 + 102. Suppose 0 = -2*m + 3*a + 21, -4*m + 9*m - 35 = 4*a. Suppose -m*b + 0*b = -60. Solve 0 = i - 2*i - v*p + 15, i - b = -3*p for i. 5 Suppose -y + 4*x + 149 = 130, -5*y = 2*x - 7. Solve y*q + 22 = -4*p, 9 + 11 = -2*q - 4*p for q. -2 Let p be (10/(-25))/(1/((-20)/2)). Let l(d) = d**2 - 2*d - 5. Let s be l(p). Solve 0 = s*v + 3*a - 3, -5 + 4 = -v + 4*a for v. 1 Suppose 0 = -12*f - 2*f - 56. Let p be (-9 + 2 + (1 - f))*-3. Solve -3*r = 20 - 8, 2*j - r + p = 0 for j. -5 Suppose -26*w + 10*w + 144 = 0. Solve -5*u - 17 = -h - 2*u, -5*h + w = 4*u for h. 5 Suppose 99*w + 172*w - 1084 = 0. Solve -3*k - 25 = 2*u, -5*u - 20 - 25 = w*k for k. -5 Let c(h) = -5*h**3 - 31 + 56 - 7*h**2 + 8*h - 36 + 6*h**3. Let a be c(6). Solve 12 = -4*m, -2*p + 4 = -3*m + a for p. -3 Let i(v) = -7*v - 152. Let w be i(-22). Let f be 54/10 + (-16)/40. Solve 4*y - w*q - 12 = 0, f*q = y - 26 + 5 for y. 1 Let c be (264/1012)/((-4)/(-78)) - 4/46. Solve -q + 28 = -5*p, 0*q + 25 = c*q - 2*p for q. 3 Let m be 6 - 6 - (-49)/(-14)*60/(-21). Solve m = -y - 3*k, 52*k = 3*y + 49*k - 30 for y. 5 Suppose -4*f - 5 = 7. Let m be ((-2)/f)/(16/(-1608)). Let j = -62 - m. Solve -3*g - 2*c = -23, -2*c = -j*g + 3*c + 5 for g. 5 Suppose 11 = l + 8. Suppose -l*y + 109 - 103 = 0. Solve 2*k + y*q + 2 = 4*q, k + 1 = 2*q for k. -1 Let u = 321 - -619. Let q = -936 + u. Solve 3*p + 4*r - 26 = -6, -q*r = 4*p - 24 for p. 4 Let z(v) = 25*v - 873. Let s be z(35). Solve 0 = h - 3*d + 14, -h - 8 = s*d - 3*d for h. -5 Let t(q) = q**3 + 131*q**2 + 384*q. Let w be t(-3). Solve w = 5*a - 2*y + 16, -4*a + 24*y - 30*y - 28 = 0 for a. -4 Let z be (20/(-3))/(36/(-243)). Solve -l = -4*g - 2, -40*l + z*l + 4*g = -14 for l. -2 Suppose 2*o - 15 = -9. Suppose 3*q = -3*v + 57, 3*v - 72 = -q - 25. Solve v = -k + o*w, 3*w = k + k + 13 for k. 1 Suppose 12 = x + 3*o, -4*o - 3 = -15. Suppose -x*w + 15 = -5*f + 9, 0 = -2*f. Solve -i + 7 = -w*r - 0*i, 5*r + 4*i = -37 for r. -5 Suppose -3*s - 21 = -2*o, -o - 4*s - 8 = 9. Suppose -2*m + 24 = o*r + 6, 0 = 5*r - 20. Suppose m*h - 156 = -3*h. Solve -h = 5*z - 4*k, -2*z - 2*z = 2*k for z. -2 Let q = -47 - -51. Suppose 0 = -2*g + 4*k + 30, 2*g + 2 = -q*k - 8. Suppose 2*f - 8 = -0*f. Solve d + 6 = g*y, -5*y - f*d - 2 = -3 for y. 1 Let o(q) = -q**3 - 100*q**2 + 212*q + 821. Let v be o(-102). Solve 2*u = -5*c + 18, v*c + 4*u - 8 = 18 for c. 2 Let n = -7878 - -7893. Solve 0 = 12*k - n*k + a + 9, -5*k + 1 = 3*a for k. 2 Suppose -1826*g = -1898*g + 720. Solve -3*i - 6 = -3*h, 0 = -g*h + 12*h + 3*i + 1 for h. 1 Suppose -28*m = -84 - 0. Solve -2*g = -4*f + 24, 8*f = m*f + g + 24 for f. 4 Let l = 10 - 8. Let r be (-8)/l + (-35)/5. Let w = 16 + r. Solve -2*x + x + 3*j + 6 = 0, -w*x + 16 = -j for x. 3 Suppose -8*z + 4*y + 43 = -3*z, 4*y + 8 = 0. Solve 0 = -5*i - 4*k - 14, 5*i + 0 + z = 3*k for i. -2 Let y(h) = -h**2 - 25*h + 61. Let p be y(-27). Suppose -4*n + n = 15, 3*n = -4*q - p. Solve -q*c - 2*s + 16 = 3*s, 0 = -3*c - 2*s + 2 for c. -2 Let h(t) = -t**3 - 9*t**2 + t + 11. Let q be h(-9). Let s(w) = 2*w + 0*w - 4*w**q + 5*w**2 + 17 - 6. Let v be s(-4). Solve -3*k + g = 6*g - v, 15 = 3*g for k. -2 Let b(i) = 2*i**2 - 14*i + 8. Let y be b(6). Let m(p) = 2*p**2 - 5*p - 44. Let q be m(y). Solve 2*h - 6 - q = 4*g, 0 = -h + 3*g + 12 for h. -3 Let s be -115*(1 - (-28)/(-20)) - -1. Suppose 0 = 6*k - s + 29. Solve -2*y = k*v + 2*v + 15, -10 = -3*v - 5*y for v. -5 Suppose -1 = -5*r + 9. Suppose 13*t = 15*t - 50. Suppose 0*h - t = -5*h. Solve h*w - d = -3 - r, d - 1 = 3*w for w. -2 Suppose -3*x = -11*x + 240. Let r = -28 + x. Suppose r*q = -q + 15. Solve q*w - p - 15 = 0, 3*p - 16 = 2*w + 7*p for w. 2 Let o = -5416 + 5421. Solve t + 3 = o*h - 4*h, h = -t + 7 for t. 2 Let s(x) = x - 9. Let w = 34 - 22. Let d be s(w). Suppose -4*l - j = 4*j - 15, j - d = l. Solve -3*p - 3*b = -l*b + 6, -b = -1 for p. -3 Suppose -700 = -88*x + 92. Solve -4*n = 3*i - x, -3 = -5*n - 18*i + 17*i for n. 0 Let b be 6/(-7*13/(728/(-16))). Solve 2*m + 3*t - 4 = t, -m + b*t - 6 = 0 for m. 0 Suppose -159*x + 112 = -103*x. Solve -x*b = -4*l + 10, 16 = -0*l + 5*l + b for l. 3 Suppose 0 = -7*a + 963 - 935. Solve -y + 7*h + 17 = a*h, 0 = 4*y + 4*h + 12 for y. 2 Let o = 261 + -114. Suppose 9*b - 15 - o = 0. Let l be 3*3/b*8/2. Solve -l*f - 16 = 2*f - 2*x, 2*x - 8 = 2*f for f. -4 Suppose -4*t - 32 = -4*k, -25*k = 2*t - 22*k - 9. Let u be -7 + (-15)/t - 4 - -6. Solve 3*d + o - 5 = u, 0*d + 19 = d - 4*o for d. 3 Suppose -2255*y + 2377*y - 610 = 0. Solve 2*x + 5*p = -12, -x + 5*p = y - 29 for x. 4 Let k(r) = 2*r**2 - 16*r + 48. Let i be k(5). Suppose -6*p + 4*f - 1 = -3*p, -2*f = 2*p - i. Solve 8 + 3 = 4*m + p*t, 5*t = -m - 1 for m. 4 Let u(c) = -33*c**2 + c - 1. Let a be u(1). Let r = 40 + a. Let f be (-2)/r + (-602)/(-49). Solve -d - 2*d - 3*y = f, -3 = -3*y for d. -5 Let c(y) = -y**3 - 37*y**2 - 51*y - 527. Let a be c(-36). Solve a*s + 2*z = 9*s - 10, 3*z - 5 = -2*s for s. -5 Let a(k) = -k**3 + 64*k**2 - 178*k - 299. Let f be a(61). Solve 5*w + 3*u = -14, 83*u - 85*u - f = 0 for w. -1 Let j(n) = 12*n + 92. Let k be j(-6). Suppose -47 = -31*h + 29*h - 3*u, k = h + 5*u. Solve -v + 25 = 5*y, -5*v + 4*v + 5*y - h = 0 for v. 0 Suppose -19 = 3*z - 28. Solve 2*n = -z*n - 4*h - 2, 2*h + 4 = -4*n for n. -2 Suppose 0 = -3*u - 2*x + 5, 10*x + 15 = u + 8*x. Solve 0 = -5*y - 3*v - 3, 3*y + u = -22*v + 21*v for y. -3 Let l = 22 + -22. Solve 4 = 3*m + s, -4*m + s - 4*s + 2 = l for m. 2 Let c be (328/10)/(60/150) - -3. Solve 4*x + 4 = -c*y + 88*y, -y = -5*x - 5 for x. -1 Let m(q) = -4*q**2 - 3*q + 2. Let r be m(2). Let h be (-1)/((-5)/112) - (-8)/r. Suppose h*v - 12 = 18*v. Solve -4*c = -2*s - 14, v*s - 5*c + 30 = -2*s for s. -5 Let q(p) = -p**3 - 2*p**2 + 2*p + 3. Let y be q(0). Suppose -5*f + 2*d + 160 = 0, -51 = -y*f + 2*d + 49. Solve 5*k = -5*x - f, -3*k - 2*x + 18 = -7*k for k. -5 Let h(o) = -o**2 + 25*o - 108. Let l be h(19). Solve -3*d - 22 = 2*w, -4*d + l*d = w - 3 for w. -5 Let l(o) = 5*o**2 + 307*o + 154. Let r be l(-61). Solve -2*u = -r*a + 30*a - 6, -4*a - 12 = -u for u. 0 Let v(c) = 253*c**3 + 6*c**2 - 7*c + 2. Let q be v(1). Let z = 256 - q. Solve -z*l = 3*f - 16, -18 = -2*l - 0*f - 4*f for l. 5 Let k(s) = -1020*s - 1016. Let r be k(-1). Solve 5*q - 4*d = 26, -3*d + 6*d + 20 = r*q for q. 2 Let h(u) = u**3 - 17*u**2 + 137*u - 581. Let a be h(9). Solve 21*p = -3*i + 16*p + 10, 0 = -3*i + a*p + 19 for i. 5 Suppose -5*m - 29 = -3*y, 4*m = -3*y + 7*y - 28. Suppose 27 = y*x - 5*l, 5*x - l - 26 = 19. Suppose x - 1 = 4*i. Solve -r = 3, -i*h - 2 - 1 = -r for h. -3 Let l(n) = n**2 - 5*n - 1. Let b be l(6).
{ "pile_set_name": "DM Mathematics" }
-7? 5 Let r(s) = 2*s**2 + s - 1. What is the remainder when 49 is divided by r(-3)? 7 Suppose 7*p - 2*p = 10. Suppose 6*v - p*v = 28. What is the remainder when 25 is divided by v? 4 Suppose 4*w - 205 = -3*m, -95 = -2*w - 2*m - m. Calculate the remainder when 109 is divided by w. 54 Suppose -3*a + 136 = 832. What is the remainder when 71 is divided by a/(-13) + (-22)/(-143)? 17 Let a = -143 - -213. What is the remainder when a is divided by 18? 16 What is the remainder when (-1)/3 - 300/(-36) is divided by 6? 2 Suppose 5*f - 17 = -w + 11, 30 = 5*w + 3*f. What is the remainder when 15 is divided by w? 0 Suppose 0 = -5*p + 17 + 38. Let u(s) = s**2 - s - 4. Let o be u(4). Suppose 38 = 5*v + o. What is the remainder when p is divided by v? 5 Let i = -6 - 27. Let z = i - -48. Let l(h) = -7*h - 7. Calculate the remainder when l(-5) is divided by z. 13 Suppose 2*k = -5*k + 581. Calculate the remainder when k is divided by 24. 11 Suppose s = 2*c + 16, 69 = 5*s - s - 3*c. Calculate the remainder when 31 is divided by s. 13 Suppose -2*w + 45 = 3*w. What is the remainder when w is divided by (-27)/(-45) + 34/10? 1 Suppose -7 - 7 = -2*f. Let l = f + -3. Suppose -5*x + 108 = 4*g - 6, 48 = 2*x + l*g. What is the remainder when 64 is divided by x? 20 Let o(j) = -4*j**2 - 5 + 2*j**3 + 3 - 4*j**3. Let z(y) = y**3 - 4*y**2 + 4*y - 3. Let r be z(2). What is the remainder when o(r) is divided by 6? 4 Let n = -6 - -40. Calculate the remainder when n is divided by 12. 10 Let y(o) = -o**3 + 6*o**2 - 8*o + 4. Let r be y(6). Let c = -25 - r. Suppose l - 17 = 2*l + 5*g, 0 = 5*l - g - c. What is the remainder when 8 is divided by l? 2 Suppose -3*f + u = 9 - 23, 4*u + 29 = 3*f. Calculate the remainder when (-47)/(-4) + 7/(28/(-3)) is divided by (2 - (-2)/(-3))*f. 3 Suppose o - 17 - 2 = 0. What is the remainder when o is divided by 7? 5 Suppose -3*h + i + 98 = -149, h + 2*i = 87. Let a = h - 52. Calculate the remainder when a is divided by 11. 9 Let r = -1 + 10. What is the remainder when (-2)/4 + 102/4 is divided by r? 7 Let j(h) = h**3 + 5*h**2 - 8*h - 6. Let d = -2 + 19. What is the remainder when d is divided by j(-6)? 5 Suppose -5*j - 76 + 631 = 0. What is the remainder when j is divided by 28? 27 Suppose 0 = -4*k + 3*k + 7. What is the remainder when (-132)/9*(-3)/2 is divided by k + 3/(-6)*-2? 6 Let b = 10 + 0. Let m = 41 - 13. Calculate the remainder when m is divided by b. 8 Let j(n) = 11*n - 18*n + 10*n. What is the remainder when 12 is divided by j(1)? 0 Let y = 9 - -11. Calculate the remainder when y is divided by 11. 9 Let l(j) be the first derivative of j**3/3 - 2*j**2 - 7*j - 2. What is the remainder when l(9) is divided by 13? 12 Suppose -4*q - d = -23, 2*d + 2 + 15 = q. Let v(n) = n**2 + 5*n + 7. Calculate the remainder when v(-6) is divided by q. 6 Let r = 61 + -45. Calculate the remainder when 61 is divided by r. 13 Suppose 0 = -3*r - r + 40. Let o = 11 + r. Calculate the remainder when 61 is divided by o. 19 Let l(g) = 4*g. Suppose -9 - 15 = -4*j. Suppose -3*s = 3*c - 3, -5*c + 3*s = -7 - j. Calculate the remainder when l(1) is divided by c. 0 Let n(w) = w**2 + 0 + 1 - 3. Let g be n(-2). Suppose 0 = 4*f + 5*u - 9, -3*f + g = 4*u - 5. Calculate the remainder when f is divided by 1. 0 Suppose -5 = -q - 2*l + 10, 2*l = -3*q + 45. What is the remainder when 42 is divided by q? 12 Let c be (-1)/(2 - 9/4). Let r = 9 + c. Calculate the remainder when 36 is divided by r. 10 Let g(i) = -3*i - 22. What is the remainder when g(-15) is divided by 13? 10 Suppose -4*u - 14 + 370 = 0. Calculate the remainder when u is divided by 23. 20 Let c = 4 + 18. Calculate the remainder when c is divided by 12. 10 Suppose 0 = 5*x - x - 48. Calculate the remainder when (92/3)/(6 + (-112)/21) is divided by x. 10 Let n(c) = 3*c**2 + c - 1. What is the remainder when 11 is divided by n(-2)? 2 Let f be ((-3)/(-6))/(2/12). Let q be (-2 + 4)*(14 + f). Suppose 71 = 5*r + 2*v - v, -v = -2*r + q. What is the remainder when 42 is divided by r? 12 Let l = 105 - 77. What is the remainder when 109 is divided by l? 25 Let i = -20 - -26. Calculate the remainder when i is divided by 1. 0 Let n be -6*((-2)/6 - -1). Calculate the remainder when 2/(-4) + 468/8 is divided by n/26 + 1572/78. 18 Suppose -x + 30 = 4*f, 2 = -2*x + x. Calculate the remainder when 70 is divided by f. 6 Let l(m) = -m**2 + m + 69 + 0*m**3 - 8 - m**3. Let f be l(0). Suppose -5*w + 48 = -4*r, 5*w = 2*r + f - 7. Calculate the remainder when 22 is divided by w. 10 Let n = 50 - 26. What is the remainder when 71 is divided by n? 23 Suppose -2*m - 3*h + 0 + 11 = 0, -4*h = 2*m - 14. Let w = 1 + m. Calculate the remainder when 4 is divided by (w - 1)/(2/6). 1 Suppose -7 = -c - 1. Let s = c + 5. What is the remainder when s is divided by 3? 2 Let b(j) = -6 + 8*j + 1 + 8. Calculate the remainder when b(2) is divided by 10. 9 Suppose a - 6*a = -130. Suppose -456 = -23*w + 17*w. What is the remainder when w is divided by a? 24 Suppose 0*x + x - 7 = 0. Suppose 10 = l - 5*a, -116 = -5*l + 6*a - 3*a. Suppose 1 - l = -2*o. Calculate the remainder when o is divided by x. 5 Let u(z) = -z**2 - 4*z + 3. Let h = -1 + -3. Calculate the remainder when u(h) is divided by 2. 1 Let z = -2 + 79. Suppose -5*v + 23 = -z. Calculate the remainder when v is divided by 7. 6 Let a(l) = -l**2 + 12*l - 10. Let g be 17/(-2) + 1/(-2). Let x = g - -16. Calculate the remainder when a(x) is divided by 13. 12 Suppose -25 = -3*t - 2*t, -22 = -4*x - 2*t. What is the remainder when 6 is divided by x? 0 Let j = 57 + -98. Let z = j - -87. What is the remainder when z is divided by 141/9 - 1/(-3)? 14 Suppose -2*t + 16 + 18 = 0. Let h = -12 + t. Let g = 1 + h. What is the remainder when 11 is divided by g? 5 Let z(j) = -j**3 + 5*j**2 + 4*j - 4. Let o be z(5). Suppose -s + o = 6. Suppose -a + 5 + s = 0. What is the remainder when 28 is divided by a? 13 Suppose 264 = 10*h - 6. Calculate the remainder when 133 is divided by h. 25 What is the remainder when (-3021)/(-21) + -2 + (-45)/(-21) is divided by 49? 46 Suppose 3*h - 21 = -3*b, 14 = 4*b + 2*h - 5*h. Calculate the remainder when 18 is divided by b. 3 Let x(v) be the first derivative of -3*v**2/2 + 2*v - 3. Calculate the remainder when 40 is divided by x(-4). 12 Suppose 5*o = 6*o + 3*w + 2, -5*o - 3*w + 14 = 0. Suppose o*k - 26 = -2*h, 3*h + 0*k + 1 = 2*k. Calculate the remainder when h is divided by 2. 1 Suppose 8*d + 231 = 15*d. Calculate the remainder when d is divided by 14. 5 Suppose 2*a = -0*a + 3*x - 12, 4*x = 3*a + 17. What is the remainder when (0 + -19)*(2 + a) is divided by 5? 4 Let q(o) be the third derivative of -1/40*o**6 + 1/8*o**4 - 3*o**2 - 1/60*o**5 + 1/3*o**3 + 0 + 0*o. Calculate the remainder when 31 is divided by q(-2). 15 Let s(z) = -z**3 + 10*z**2 + 10*z + 16. Let a be s(11). Suppose a*h + 20 = 55. Calculate the remainder when 12 is divided by h. 5 Let v(i) = i**2 + 3*i + 1. What is the remainder when v(-6) is divided by 1 + -3 + 9 + 3? 9 Let n(k) = -k**3 - 5*k**2 - 7*k - 5. Let c be (-4)/1*(-1)/1. Suppose -c = 2*d - 44. Calculate the remainder when d is divided by n(-4). 6 Suppose -2*u + 3*x + 42 = -0*u, -38 = -2*u + 4*x. What is the remainder when u is divided by (14/4)/((-1)/(-2))? 6 Suppose 0 = 5*o - 3*v + 1, 5*o + 5 = 4*v + 2. Let a = 48 + -29. Calculate the remainder when -2 + 37/o + 2 is divided by a. 18 Let z = -7 + 25. Suppose 3*n + 48 = -z. Let i = -13 - n. What is the remainder when 16 is divided by i? 7 Let p(k) = k**3 + k**2 + 28. What is the remainder when 53 is divided by p(0)? 25 Let g(f) = -f**3 - f**2 - f + 122. Suppose 0 = -6*i + 242 - 56. What is the remainder when g(0) is divided by i? 29 Suppose 18*a - 80 = 8*a. Calculate the remainder when 111 is divided by a. 7 Suppose -5*d + 28 - 18 = 0. Suppose -d*t = -24 + 4. Calculate the remainder when 28 is divided by t. 8 What is the remainder when 12 is divided by 62/14 + 3/(-7)? 0 Let r(n) = -n + 7. Calculate the remainder when 15 is divided by r(4). 0 Suppose 4*w = 4*k - 3*k - 12, -5*k = 5*w - 185. What is the remainder when 285 is divided by k? 29 Suppose -134 = -4*i + 5*f - 25, 2*f = 3*i - 73. What is the remainder when 39 is divided by i? 18 Suppose -3*t + 9 = -0*t. Let p be (-20)/6 - (-1)/t. Let d = p + 6. Calculate the re
{ "pile_set_name": "DM Mathematics" }
give t. 1 Express 33*b - 33*b + 8 + 1 - 2*b**2 as l + a*b + r*b**2 and give r. -2 Rearrange -26*r**2 + 5*r**2 - 15*r**2 + (0*r + r - 3*r)*(r - 6*r + 4*r) - 2*r**2 - r**2 + 0*r**2 to n + o*r + b*r**2 and give b. -37 Express -r**3 + 3*r + 12*r - 20*r + 4*r**3 - 3*r**2 as g*r**3 + u*r + n + i*r**2 and give u. -5 Express 11*q**4 - 4*q**4 + 10*q**4 + (q**2 - 4 + 4)*(-2*q**2 + 6*q**2 - q**2) in the form o*q**2 + h*q + t*q**4 + g*q**3 + c and give t. 20 Express -201*z**2 + 21*z**2 + 23*z**2 + (-2*z + 2 - 2)*(0*z + z - 3*z) as h*z**2 + p*z + f and give f. 0 Express (9 + 8 - 6)*(2*v - 1 + 1)*(6 + 2*v - 6) in the form i*v**2 + y + b*v and give i. 44 Express 70 + 41*i**2 - 40*i**2 - 23 in the form t + l*i**2 + b*i and give l. 1 Rearrange 18 + 69 + 2*p**2 + 27*p - 25*p to z*p**2 + g + m*p and give m. 2 Express -4 - 2 + 31*u**2 + 2 + 2 in the form d + b*u + x*u**2 and give d. -2 Rearrange 8*v**3 - 3*v**3 + v**3 - v**2 to the form x*v**3 + s + u*v + k*v**2 and give k. -1 Express 4*l**4 - 12*l**2 + l + 17*l**2 + 1 + l**4 - 3*l**4 in the form x*l + g*l**2 + m + j*l**4 + k*l**3 and give g. 5 Express 6*x**3 - 9*x**3 + 28*x - 32*x as r*x**3 + q*x**2 + m*x + s and give m. -4 Express 8*g - 3*g**2 - 6*g - 2*g - g in the form b*g**2 + l + r*g and give b. -3 Rearrange (-n**2 - 2*n**2 + 6*n**2)*(0*n - 3 + 7*n - 2*n) to j*n + y + m*n**3 + k*n**2 and give k. -9 Express -2*p**2 + p + 0*p - 2*p - 24 in the form c + s*p**2 + z*p and give s. -2 Rearrange (-6 - 4 + 3)*(-6*l + 2*l + 2*l) to x*l + m and give x. 14 Rearrange (0*u - 3*u + 2*u)*(3*u - 4*u + 0*u) - 14*u**2 + 26 - 23 - 19*u**2 to the form v*u + q*u**2 + x and give q. -32 Express 9*b - b**2 + b - 2*b**2 - b**2 in the form s*b + a*b**2 + m and give s. 10 Rearrange -b**4 + 2*b**4 + 3*b**4 + 2*b**4 + 4*b**4 - 7*b**4 + (-11 + 11 + 2*b**2)*(3*b**2 - 4*b**2 + 2*b**2) to s*b**3 + m*b**2 + u*b + q*b**4 + c and give m. 0 Express -3*l**2 + 0*l**4 + 2*l**4 - 5*l**2 + 1 + 3*l**2 as t*l**2 + z*l**3 + k*l**4 + h + m*l and give h. 1 Rearrange -3*n**2 - 2*n**2 - 6*n**2 + 0*n**2 to the form c*n + t*n**2 + u and give t. -11 Rearrange 16 - 2*x - 12 - 1 + x**2 to p*x**2 + r*x + o and give o. 3 Rearrange ((-1 - 3 + 3)*(0 + 0 + w) + w - 4*w + 39*w + 0*w + 2*w + 0*w)*(0 - 2 + 1) to the form j*w + h and give h. 0 Express 53 + d**2 + d**2 - 111 + 57 - 3*d as u*d + y + h*d**2 and give u. -3 Rearrange (-2*n + 1 - 1)*(-2*n**2 + n - n) + 2 + 0*n**3 - 1 - 2*n**3 to w*n**2 + d*n + h + j*n**3 and give h. 1 Rearrange -46*t**3 + 62*t**3 - 31*t**3 + (0*t + t + 0*t)*(-4*t + 5*t + t)*(-3*t - t + 2*t) to l + h*t**2 + m*t + u*t**3 and give u. -19 Rearrange -3*d**3 + 204*d + 20*d**2 - 204*d to j*d**2 + t + o*d + p*d**3 and give j. 20 Rearrange 39 - 39 - 4*w to k + a*w and give a. -4 Rearrange 0*m**2 + m**2 - 2*m**2 + (-4 - 2*m + 4)*(-m - 2*m + 4*m) - m**2 + 3*m**2 - 118*m + 2 + 139*m to v + p*m + j*m**2 and give v. 2 Express (11*k + 1 - 5*k - 8*k - 4*k**2)*(2*k - 7*k + k) in the form f + u*k**2 + s*k**3 + l*k and give u. 8 Rearrange -v**4 + 2*v**2 + v - 5 + 1 + 5 to y*v**3 + m*v**4 + h + z*v + i*v**2 and give z. 1 Express -2*q + 26 - 51 + 4*q + 31 as m*q + g and give g. 6 Rearrange 5*m**3 - 5*m**3 - 3*m**3 + (3 + 0 - 1)*(-5*m**3 - 10*m + 10*m) to the form o*m**3 + v*m + c + b*m**2 and give o. -13 Rearrange -12*s - 9*s + 5*s - 2*s to t + l*s and give l. -18 Express 2 - 13*a - a**3 - 3*a**3 + 8*a as d*a + r*a**3 + c + v*a**2 and give c. 2 Express -24 + 14 + 8 + s in the form o + k*s and give o. -2 Express (0*z**2 - 4*z**2 + 3*z**2)*(-z**2 - 16*z + 16*z) + z**2 - z**2 + 2*z**4 in the form b*z**4 + h + p*z**3 + o*z + g*z**2 and give b. 3 Express 11*t + 7*t - t in the form m*t + h and give m. 17 Express 6*f**2 - 4*f**4 - 6*f**2 + (-f + 3*f - 3*f)*(3*f**3 + 2*f - 2*f) in the form w*f**2 + n*f + r*f**3 + l + b*f**4 and give b. -7 Rearrange (1 - 4 + 5)*(-1 - 4*v + v + v) + (3 + 4 + 8)*(0*v + 3*v - 5*v) to the form y*v + t and give t. -2 Express (-1 + 1 + 1)*(-2*v - v + v) + 2*v + 2*v - 3*v + (-3*v + 5*v - 3*v)*(-1 + 1 - 1) + 13*v - 51 + 51 as s + h*v and give s. 0 Rearrange -m**2 - m**2 + 7*m**2 to the form l + o*m + a*m**2 and give a. 5 Express (6 - 3 - 2)*(-k + 3*k + 2*k + (-2*k + 3*k - 2*k)*(3 + 0 - 1) + (-6 + 2 + 2)*(-3*k + 3*k - k)) as h*k + p and give h. 4 Rearrange (3*t**2 - 2*t**2 + 0*t**2)*(-2 + 5 - 4) + 32 + 80*t**2 - 32 + (-4*t + 1 - 1)*(-2*t + 2*t - t) to the form i + b*t**2 + r*t and give b. 83 Express -2*p**3 - 5*p + 0*p + p - p as r*p**3 + z*p**2 + c + l*p and give l. -5 Express a**2 + 2*a + a + 0*a + a in the form n*a + u + w*a**2 and give w. 1 Rearrange 129*w + 7*w**2 - 129*w - 1 + 0*w**2 to b*w + r + d*w**2 and give d. 7 Rearrange (l + 3*l - 3*l)*(-2*l**2 + 3*l**2 - 5*l**2) to the form q*l**2 + w*l**3 + z + f*l and give w. -4 Rearrange (5 + 2 - 3)*(-7 + 2 + 16)*(-1 + r + 1) to a*r + x and give a. 44 Rearrange -11*n**2 + 3*n**2 - 11*n**2 to the form d + x*n**2 + i*n and give x. -19 Express ((5 - 5 + 1)*(2*v + 0*v + 6*v) + 9*v - 18 + 18)*(5*v**2 - v**2 - 6*v**2) in the form d*v**2 + q*v**3 + p*v + k and give q. -34 Express 2*f + 2*f + 14*f in the form b + u*f and give b. 0 Rearrange 22*c - c**4 - c**2 - 21*c - c**3 + 3*c**2 to h*c**2 + y*c**4 + x*c**3 + b*c + d and give x. -1 Express 2*f + 9*f**4 - 4*f**2 + 6*f**2 - 2 - 2*f**4 as o*f + m*f**2 + b + y*f**4 + p*f**3 and give o. 2 Rearrange -2*m**3 - 2 + 2 + (m + 1 - 1)*(-5*m**2 + 3*m**2 + 3*m**2) + 16 + 45*m**3 + 18 - 36 to d*m**2 + b*m + l*m**3 + j and give d. 0 Rearrange -16*s**2 + 46*s**2 - 2 - 12*s**2 + s to the form y*s**2 + w*s + x and give x. -2 Rearrange x**3 + 3*x**3 - 2*x**3 + (2 - 2*x - 2)*(-5*x**2 + 3*x**2 + x**2) + 2*x**3 + x**2 - x**2 to f*x + o + w*x**2 + j*x**3 and give j. 6 Express 376*o**2 + 22 + 19 - 41 + (0*o - 2*o + o)*(-5 + 5 - 2*o) as d*o + i*o**2 + w and give i. 378 Rearrange 2*s**3 + 10*s**2 - 1 - 10*s**2 to o*s**2 + x*s**3 + m + d*s and give x. 2 Rearrange -36*h**2 + 103*h**2 - 35*h**2 - 31*h**2 + h**3 - 2*h - 2 to the form w*h + g*h**2 + j*h**3 + n and give g. 1 Rearrange (p**2 + 0*p**2 - 3*p**2)*(15*p**2 + 5*p**2 + 11*p**2 + (-5 - 2*p + 5)*(0 - 2*p + 0)) to l*p**4 + q*p**3 + x*p + a + m*p**2 and give l. -70 Express 16*x - x**2 + x**4 - 13*x + 3*x**4 + 2 - 5*x**4 in the form i*x**3 + z*x + j*x**2 + p*x**4 + u and give p. -1 Rearrange (-1 + 5 - 3)*(-2*i**2 - 2*i**2 + 5*i**2)*(i + 4*i + i) to the form g*i**3 + t*i**2 + l + v*i and give g. 6 Rearrange -30*c**3 - 3*c**3 + 50*c**3 + 99*c**3 - 2*c to h*c**3 + w*c**2 + o*c + i and give h. 116 Express 2*b**4 - 3324*b**3 + b**2 + 2*b - 2 + 4 + 3325*b**3 as l + c*b + d*b**2 + r*b**3 + n*b**4 and give d. 1 Rearrange 0 + 2*p**3 + 21 + 2*p**2 - 3*p + 2*p to the form h + z*p**3 + g*p**2 + i*p and give z. 2 Express 6*o**3 + o - 2*o**2 - 3*o**3 - 8*o**2 in the form i + j*o**2 + v*o**3 + l*o and give l. 1 Rearrange ((-1 - 5 + 4)*(-2 - 1 - 2) - 1 - 2 + 6 + (-1 - 3 + 3)*(4 + 0 - 3) - 7 + 2 + 3)*(-3*s + s + 0*s) to f + a*s and give f. 0 Express (-4*s - s + 0*s)*(3 - 3 - s) - s**2 + 2 - 2 + s**2 - 2*s**2 - s**2 as d*s + b + m*s**2 and give m. 2 Rearrange -47*n + 2*n**2 + n**3 + 47*n - n**4 to v*n**4 + h + b*n + u*n**2 + l*n**3 and give v. -1 Rearrange (0*c - 2*c**2 + 0*c)*(3*c - c + 0*c) + 1 - c**3 - 1 + 15*c**3 - 3*c**3 + 9*c**3 to n*c**2 + p*c + v*c**3 + d and give v. 16 Express (2*d + 2*d - 2*d)*(6*d - 2*d - d)*(-7 - 18 + 5) as l*d + o*d**2 + y and give o. -120 Express -p**2 - 6*p + 0*p**3 - p**4 - p + p**3 + 5*p as s*p**4 + b*p**3 + d + z*p + c*p**2 and give z. -2 Rearrange 2*i + 2 + i**4 + 4*i**3 - 3*i - 6*i**3 + 0*i**3 to f*i**3 + h + q*i**2 + v*i + x*i**4 and give v. -1 Rearrange 2*a**2 - a + a + (6 - 3 - 4)*(0*a**2 + a**2 + a**2) - 2*a**2 - 1 + 1 to the form b*a**2 + l + j*a and give b. -2 Rearrange (-4 + 0 + 6)*(3*k - 5*k - k)*(4 - 3 + 1 - 2 - 1 + 5 + (-3 + 1 + 1)*(4 - 4 + 2) + 2 - 3 + 3 + 3 + 3 - 5 + 3 - 1 - 3) to the form s*k + o and give s. -24 Express 4 - h + 41 - 3 in the form n + m*h and give m. -1 Rearrange (2 - 2 + 2)*(0 + 2*a**2 + 0) + 0*a**2 + 5*a**2 - 6*a**2 + 3*a**2 - 2 + 2 + (1 - 3 + 1)*(-3*a**2 + a - a) to k*a**2 + x*a + q and give k. 9 Express k**3 - 5*k + 8*k - 2*k**4 - k - 3 - 2*k**2 as q*k**2 + u*k + o + j*k**4 + r*k**3 and give o. -3 Express 2 + 12*t + 6 - 8 as h + a*t and give a. 12 Express 1223*p**2 - 1207*p
{ "pile_set_name": "DM Mathematics" }
) Simplify (((y*y**1)/y)**(-37)/((y*y**(-2/13))/y**(-7)))**(2/89) assuming y is positive. y**(-1166/1157) Simplify s**(-1/10)*s**(-7)*(s/s**(3/2)*s)**(-3) assuming s is positive. s**(-43/5) Simplify (p**14*p**(-7/5)/p)**20 assuming p is positive. p**232 Simplify s**(-1/17)*s*s**(-19)*s*((s**(-4)*s)/s)**(-46) assuming s is positive. s**(2838/17) Simplify ((r/(r*r/((r**(20/11)*r)/r)))**(25/2))**(-27) assuming r is positive. r**(-6075/22) Simplify (((((w**(-2/3)/w)/w)/w)**(-29))**(-2))**(-50) assuming w is positive. w**(31900/3) Simplify ((v**(-4/7)*v*v**(-10)/v)**28)**(1/6) assuming v is positive. v**(-148/3) Simplify (c**12*c/(c/((c**4*c)/c)))/(c*c*(c*c*c*c*c**(-3)/c*c*c)/c)**49 assuming c is positive. c**(-131) Simplify (h**4*h/h**(-1/4))/(((h*(h**(-7/6)*h)/h)/h)/(h**(-2)*h)) assuming h is positive. h**(65/12) Simplify ((v*v**(1/3))**33/(((v/(v/((v**8*v)/v)*v*v*v)*v)/v)/(v**8/v)))**3 assuming v is positive. v**138 Simplify (y/y**(-12))**(-33)/(y**(3/13)*((((y/((y/y**(-1/8))/y))/y)/y)/y)/y) assuming y is positive. y**(-44315/104) Simplify (h/h**(-11))**(1/34)/(h/h**(-1/5))**45 assuming h is positive. h**(-912/17) Simplify x*x/(x**(-2)/x)*(x**(-6)*x)/x*(x/x**(-3)*x)/x*x**(-2/13) assuming x is positive. x**(37/13) Simplify g**(-5/8)*((g/(g*g*g/(g/(g**(-2/33)/g)*g)))/g)/g*(g/(g/(g*(g*g**(-10))/g)))/(g/(g*g*g**(-1/24))) assuming g is positive. g**(-317/33) Simplify ((j**(-3/7))**(-31)*j**(-1/4)*((j*j**(-1/13))/j)/j*j)**(4/15) assuming j is positive. j**(4717/1365) Simplify i/(i*i**(-5/2))*i*i/i**14*i**(-2)*(i/i**(-6/5))/i assuming i is positive. i**(-103/10) Simplify (k/k**17*k/k**18)/(k**(-15)*k/(k**4*k)) assuming k is positive. k**(-14) Simplify (((i/(i/(i*i**18*i*i)))/i**(-18))**(-5/7))**33 assuming i is positive. i**(-6435/7) Simplify ((t/(t*t**(2/5))*t)**(-2/5)/(t*(t/(t/((t*t/(t/(t*(t*t**2)/t)))/t)))/t)**(2/31))**13 assuming t is positive. t**(-4368/775) Simplify i**(-3/4)/i*i**(-8)*(i*i*i**3)**(-2/25) assuming i is positive. i**(-203/20) Simplify l**(-3/5)/(l**(-2)*l)*(l**3)**(1/88) assuming l is positive. l**(191/440) Simplify ((i*i**(-2/7))/i)**17*i**11*i*i**(2/13) assuming i is positive. i**(664/91) Simplify ((h**(-1/2)*h)**(-2)/(h/h**9*h**0))**6 assuming h is positive. h**42 Simplify p**6*p**(-10)*p**(-6)/(p/(p*p**14*p)) assuming p is positive. p**5 Simplify (((g/g**4*g)/g*g*g**(1/3))/((((g*g**(-2/3))/g)/g)/g**2))**(-39) assuming g is positive. g**(-78) Simplify (q/q**(2/9))**(-10)/(q**(1/23)*q*q*q/(q*q/(q*q/q**(-17))*q*q)*q*q) assuming q is positive. q**(-5759/207) Simplify (o/(o/(o/o**11))*o/(o/o**(1/5)))/(o**(2/7))**(-34) assuming o is positive. o**(-3/35) Simplify (m**(5/4)/(m**(-2/23)/m))/(m**(2/11)*m/m**5) assuming m is positive. m**(6229/1012) Simplify (w**8/w**(-4/7))/(w**(-14)*(w*w**(4/11))/w) assuming w is positive. w**(1710/77) Simplify ((c**(-1)/c**(-1/13))/(c*(c/(c*c*c**(2/13)*c*c))/c*c**9))**(-49) assuming c is positive. c**(4312/13) Simplify ((l/(l**(2/11)*l))/l**4*l**(-1/6)/(l/(((l**(-1/2)*l)/l)/l)))**(-43) assuming l is positive. l**(9718/33) Simplify (g**9*g**6)/(g**1)**(4/11) assuming g is positive. g**(161/11) Simplify (((i**(-1/15)*i)**(-6/29))**(-15))**(-2/51) assuming i is positive. i**(-56/493) Simplify ((m**(-1/3)/(((m**(-2/9)/m)/m)/m*m))/(m/((m*m**(-9))/m)*m*m**6))**(-2/93) assuming m is positive. m**(272/837) Simplify k/k**(-1/3)*k*k/(((k*(k/k**(-3/8))/k)/k)/k)*k**(-29)/(k**(4/5)*k) assuming k is positive. k**(-3221/120) Simplify (((f*((f*f**30)/f)/f)/f*f)**(-43))**19 assuming f is positive. f**(-24510) Simplify (p**(-10)/p**(-18))/((p**(5/4)/p)/(p**(-9)/p)) assuming p is positive. p**(-9/4) Simplify ((i*i**(1/5)*i**2)/(i**(-5/4)/((i/i**(1/7))/i)))**(-5/7) assuming i is positive. i**(-603/196) Simplify ((z/(z/((z*z*z/((z**(-3)*z)/z))/z*z*z))*z)/z*z*z**(-1/3)*z)/(z*z**1*z**(-10)/z) assuming z is positive. z**(53/3) Simplify (k*k**(-1/10)*k)/(k*k**(4/21)*k)*k**16/(k*k**(-7)) assuming k is positive. k**(4559/210) Simplify f**(-7/4)*f*f**11*f*(f**1*f*f)**22 assuming f is positive. f**(309/4) Simplify ((g*g**(10/7))**25)**(-5/8) assuming g is positive. g**(-2125/56) Simplify (v**(4/7)/v)**(-33)*(v**(-9/2)/v)/((v*v/v**(-14/5))/v*v) assuming v is positive. v**(269/70) Simplify (h*(h*h*h**(-2)*h)/h)**(2/59)*((h/(h/(h/(h**(-3)/h))))/h)/h*h**(1/6) assuming h is positive. h**(1133/354) Simplify t**(-1)/t**(1/16)*t**11*t*t/(t/(t/t**(-14)*t)) assuming t is positive. t**(431/16) Simplify y**(-20)*y/(y/(y**(-1/6)*y))*y**(5/8)/((y/y**(11/4)*y)/y) assuming y is positive. y**(-403/24) Simplify ((n**(2/3)/n)/(n*n*n**(1/5)))/(n**(1/18)*n**(-6)) assuming n is positive. n**(307/90) Simplify ((w*(w**(-14)/w)/w)/(w*w**(-7/3)/w))/((w*w**(1/2))/w**(2/5)) assuming w is positive. w**(-413/30) Simplify (z*(z*z**(-1/5))/z*z)**(-2/19)*z**(1/6)*z*z*z*z**10 assuming z is positive. z**(7397/570) Simplify ((s*s/s**(3/4))/s*s**14)/(s/(((s*s*s/(s**(1/4)*s)*s*s*s)/s)/s))**(1/57) assuming s is positive. s**(814/57) Simplify (g*g**1*g/(g/g**(-1/27)))/(g**24/g**(-1)) assuming g is positive. g**(-622/27) Simplify ((((t*t*t**(-1/23))/t)/t)/t**(-7))/(t**(8/9)*t**(-2/41)) assuming t is positive. t**(51910/8487) Simplify (((w**30/w)/w)/(w*w**(-9)*w))**(-3) assuming w is positive. w**(-105) Simplify (p**(-1)/p**(-2/3)*(p/(p*(p*p*p**(1/2))/p*p*p))**(10/3))**(-35) assuming p is positive. p**420 Simplify (((q/q**(-3))/(q*q**2/q*q*q*q))/(((q*q*q*q**(9/4)*q)/q)/q**(-1/12)))**(-12) assuming q is positive. q**76 Simplify (z**(-18)/(z/(z*z**(7/5)*z*z)))**(4/3) assuming z is positive. z**(-292/15) Simplify (z**(1/4))**48/(z*z**1)**(-2/61) assuming z is positive. z**(736/61) Simplify (((i*i**(-1/17)/i)/i)/i**(-1))/((i/i**(-3/16))/i*i/(i/(i*i*i**19))) assuming i is positive. i**(-5779/272) Simplify (a**(-3))**(2/99)/(a**(-4))**(-43) assuming a is positive. a**(-5678/33) Simplify ((m/(m/((m/(m**(-3)/m))/m))*m*m**(2/17))/((m*m**(1/8)/m*m)/((m**0/m)/m)))**(-10/3) assuming m is positive. m**(-1355/204) Simplify ((a**(-2/11)*a*a/(a**(3/11)/a))/((a*a**(2/3)/a)/a)**(-37/4))**(-6/13) assuming a is positive. a**(71/286) Simplify (((i/i**11*i)/i*i**(-2/15)/i)**(8/5))**(-6) assuming i is positive. i**(2672/25) Simplify t**(-37)/t*t*t*t**(7/6)/t*((t*(t*t*t**(2/13)*t)/t)/t)**(-46/5) assuming t is positive. t**(-21703/390) Simplify (f**(-11)/f**1)/(f**(-2/31)/f**(-10)) assuming f is positive. f**(-680/31) Simplify l**8/l*l*l*((l*l*l**(-1/9)/l)/l*l)/l*l*l**(1/12)*l*l**(2/37)*l assuming l is positive. l**(16019/1332) Simplify (x**(-5/2))**(5/2)/((x**(2/15)/x*x)/x**(-3/5)) assuming x is positive. x**(-419/60) Simplify (((z*z*z**(-5/9))/z)/z**(-2/27))/((z*(z/(z/(z/z**(-1/8)))*z)/z)/(z*z/z**(-2/21))) assuming z is positive. z**(739/1512) Simplify ((r*(r/(((r/r**(1/6))/r)/r))/r)**(-6/13)*(r**(-1/17)*r)/(r/(((r*r**(1/2)*r*r)/r)/r)))**38 assuming r is positive. r**(285/17) Simplify (u**(1/16))**(-2/79)*(u/u**(1/4)*u*u*u)/(u*u**35*u) assuming u is positive. u**(-21015/632) Simplify (k/(k/((k/k**(-1/7))/k)*k)*k**6)/(k*k**5*k)**(10/7) assuming k is positive. k**(-34/7) Simplify ((g/g**11*g*g**(-2/85))**12)**28 assuming g is positive. g**(-257712/85) Simplify (l/l**(-2/7))**24/((l**(-16)*l)/l)**48 assuming l is positive. l**(5592/7) Simplify (u**(2/15)*u)/u**(-4/9)*u/u**(-1)*u*u/u**(-1/12) assuming u is positive. u**(1019/180) Simplify (l*l/((l/(l*l*l**(-2)))/l)*l)**(-12)/(l/((l**(12/7)*l)/l)*l/l**9) assuming l is positive. l**(-191/7) Simplify ((a*a**19)/a**10)/((a/(((a/(a/(a*a**(14/5))*a))/a*a)/a))/a*a**(5/4)) assuming a is positive. a**(211/20) Simplify ((v**(-16))**9)**(-1/9) assuming v is positive. v**16 Simplify x*x*x*(x*x**(-2/13)*x)/x*x*x**(-3/4)*x**4*x*x*x*x**17 assuming x is positive. x**(1461/52) Simplify (((f**(3/2)/f*f)/f)/(f*f**4)*f**(-1/4)*f**(2/9))**(-1/33) assuming f is positive. f**(163/1188) Simplify (t/t**(9/4))/((t**(-3/13)/t)/t*t)*(t*t/(t*t/t**(-24)*t*t)*t)/t**8 assuming t is positive. t**(-1717/52) Simplify m**0/m*m/m**(-1/40)*m**(-3)/(m/((m*m/m**(4/7)*m)/m)) assuming m is positive. m**(-713/280) Simplify (m/((m*m**(-18))/m)*m*m**(4/7)/m)**26 assuming m is positive. m**(3562/7) Simplify ((v**(-1))**(-3/22)*(v**0)**(-41/5))**(-6/19) assuming v is positive. v**(-9/209) Simplify (l**(-12)*l**(-1/10)*((l/l**(-12))/l*l)/l**(2/5))**(-2/49) assuming l is positive. l**(-1/49
{ "pile_set_name": "DM Mathematics" }
5) assuming d is positive. d**(-16/3) Simplify v*v/(v/(v*v**(8/9)*v))*v*v**(1/4)/v assuming v is positive. v**(149/36) Simplify (d**(3/5)*d*d**6)/(d/d**(2/9)*d*d*d**(-2)) assuming d is positive. d**(307/45) Simplify (w/(w*w*w**(2/49)/w*w*w*w)*w)**42 assuming w is positive. w**(-600/7) Simplify (u/(u*u**(3/2)*u))/u**10 assuming u is positive. u**(-25/2) Simplify (j*j/(j**(-2/5)/j))/((j*j*j*j**(-6))/j)*j/j**6*j**(-7)/j assuming j is positive. j**(-28/5) Simplify (w**(3/2))**35 assuming w is positive. w**(105/2) Simplify (i*i**(-28)*i)/(i**(7/3)*i) assuming i is positive. i**(-88/3) Simplify (p**(-3))**(4/21) assuming p is positive. p**(-4/7) Simplify ((y*y/y**(1/9)*y)/y**(-4))/(((y/y**(2/7))/y*y)/(y/(y/(y*y/y**(-5)*y*y))*y)) assuming y is positive. y**(1019/63) Simplify (i**(-1/4))**(6/13)*(i*(i*i**(-1))/i)/i*i/i**(3/8)*i assuming i is positive. i**(53/104) Simplify ((p/(p/p**(-2)*p*p))**(-50))**(-21) assuming p is positive. p**(-4200) Simplify (u*u*u*(u/(u*(u*u*u**(13/4))/u*u*u))/u)/u**(3/5) assuming u is positive. u**(-97/20) Simplify (l/l**(-1))/(l/l**(-1/4))*(l**0/l)**5 assuming l is positive. l**(-17/4) Simplify (t/(t*t**(-6/13)))/t**(-14/11) assuming t is positive. t**(248/143) Simplify j**(-2/5)/((j*j**(6/11)*j)/j) assuming j is positive. j**(-107/55) Simplify (((l*l/(l*l**(3/2)))/l)/l)**(-13/8) assuming l is positive. l**(65/16) Simplify ((r*r**(2/11)*r)/r)**(-32/7)/((r*r/(r*r/(r/(r/r**(1/6)*r))*r*r)*r)/(r**(-2/21)/r)) assuming r is positive. r**(-2155/462) Simplify (t**(2/7)/t)/t**(-3)*t/(t*t**(-3/2))*t**(-3) assuming t is positive. t**(11/14) Simplify l**2*l*l*l**(20/7)*l assuming l is positive. l**(55/7) Simplify (u*u*u/(u**(1/2)/u)*u)**(1/13)*u**(-1/3)*u/((((u*(u/u**(2/5))/u)/u)/u)/u) assuming u is positive. u**(1331/390) Simplify ((h/(h/(h/h**(-9))))/h*h**(-2/19))/(h*h**(-3/8)/h*h**(-1/7)) assuming h is positive. h**(10015/1064) Simplify (t**(-2)/(t*t*(((t/(t*t/t**(3/7)*t)*t)/t*t)/t*t)/t))**38 assuming t is positive. t**(-646/7) Simplify (i**(-8)/i**(3/2))/(i*i**(-1/4))**(-8/5) assuming i is positive. i**(-83/10) Simplify (s**(1/3)/s*s*((s**(-1/8)*s)/s*s)/s)**(-4/13) assuming s is positive. s**(-5/78) Simplify (o**(6/11)/o)/(o*o/(o**(-1)/o))*((o/(o*o/(((o/((o**1*o)/o*o))/o)/o)*o))/o)**(-16/11) assuming o is positive. o**(47/11) Simplify (u*u/((u/u**0)/u*u))**(2/3)/(u**0)**(-7/3) assuming u is positive. u**(2/3) Simplify (m*m**(-27))**(-14) assuming m is positive. m**364 Simplify (g**(-11)*(g*(g/g**(-9))/g)/g)**(15/4) assuming g is positive. g**(-15/2) Simplify (n**0/n*n)**(-49)/(n**(-2/11)*n*(n**0*n)/n) assuming n is positive. n**(-9/11) Simplify q*q/(q/(q*q**(-9)))*q*q*q/(q/(q/(q*q**(1/6)))) assuming q is positive. q**(-31/6) Simplify (j/((j*j**(-1/2)*j)/j))**(-1/5)/(j*j*j**7*j*j/(j*j/j**(-1/6))*j*j) assuming j is positive. j**(-164/15) Simplify ((b/(b/(b**1*b)))/b)**(-5/16)*(b**(-2/3))**(3/35) assuming b is positive. b**(-207/560) Simplify (z**(-1/10)/z)**(-14) assuming z is positive. z**(77/5) Simplify (s**6*s**(4/3))/(s*s**(2/7))**24 assuming s is positive. s**(-494/21) Simplify (y*y**(-6))**(-7/4) assuming y is positive. y**(35/4) Simplify (v*v**(1/2)*v**(-3)/v*v)/(((v/(v**(-5/2)*v))/v)/(v/v**(-2/7)*v)) assuming v is positive. v**(-5/7) Simplify ((z/(z/(z**(2/27)*z))*z)/z*z**4)/(z/z**(-2/3)*z)**(15/2) assuming z is positive. z**(-403/27) Simplify ((q*(q**(-1)/q)/q)/q*q)**5*(q*q/((q/(q*q/q**(-1/3)*q*q))/q)*q)**(-13) assuming q is positive. q**(-316/3) Simplify ((o**(-2))**(-43))**(-1) assuming o is positive. o**(-86) Simplify (p/((p**(8/11)/p)/p))/p*p*p*p*p*p*p**(-5) assuming p is positive. p**(14/11) Simplify ((k/(k/k**2)*k)/(k**10/k))**(-2/9) assuming k is positive. k**(4/3) Simplify t**16/((t/t**(3/2))/t) assuming t is positive. t**(35/2) Simplify q**(2/5)*q*q*q**(2/45) assuming q is positive. q**(22/9) Simplify y**(2/3)/((y/(y*y**(-1/7))*y)/y)*y**(1/3)/y*y*y**(-3) assuming y is positive. y**(-15/7) Simplify (m**(-1)/m*m*m**(-4))/((m/((m*m/((m*m**(-1/3)*m)/m)*m)/m)*m)/m*m**(10/3)) assuming m is positive. m**(-8) Simplify w**6/w*w**4*w assuming w is positive. w**10 Simplify ((c/c**(-2/3)*c)/c)**(-1/29)*((c/c**6)/c)/(c*c/((c/(c/(c**(3/4)/c)))/c)*c) assuming c is positive. c**(-3587/348) Simplify (s/(s/s**(1/19)))**(6/17) assuming s is positive. s**(6/323) Simplify ((d*d*d*d**4)/d*d)**36 assuming d is positive. d**252 Simplify (a**(1/4))**(-1/25)*(a*((a**(2/5)*a)/a)/a)**(-5/14) assuming a is positive. a**(-107/700) Simplify t**47*t**(-27/5)/t assuming t is positive. t**(203/5) Simplify (n**(-10)*n)/(n*((n/(n**16*n))/n)/n) assuming n is positive. n**8 Simplify (p/(p/p**2)*p**(2/5))/(p/(((p**(-2/13)/p)/p)/p)*p*p*p**7) assuming p is positive. p**(-699/65) Simplify (y**(-4)/(y*y**(-1)))**(5/3) assuming y is positive. y**(-20/3) Simplify v**(1/4)*v**(2/11)*(v**(-2))**48 assuming v is positive. v**(-4205/44) Simplify (k*((k*(k*k/(k*k**(-2/75))*k*k)/k)/k)/k)**(-21) assuming k is positive. k**(-1064/25) Simplify s*s**(-2/45)*(s/(s*s**18/s*s))/s assuming s is positive. s**(-812/45) Simplify (u**22/u)/(u/(u**(-30)/u)) assuming u is positive. u**(-11) Simplify (((m**(-1)/m*m)/m)**47)**(-1/3) assuming m is positive. m**(94/3) Simplify (c**0/c)**39 assuming c is positive. c**(-39) Simplify (b**(2/5))**11 assuming b is positive. b**(22/5) Simplify ((p/p**(-4/7)*p)/(p/p**(-14)*p))**(2/13) assuming p is positive. p**(-188/91) Simplify (m**0)**(6/23)/(m**(-3)*m*m**(-8)) assuming m is positive. m**10 Simplify p*p**(-2/5)/p*p**0*(p/p**(-4))/p**(-5) assuming p is positive. p**(48/5) Simplify (a**2*a)**(6/13) assuming a is positive. a**(18/13) Simplify n**(1/11)*n**(-7/8)*n*n assuming n is positive. n**(107/88) Simplify ((a*a**5)/(a**(-6)/a))**(27/4) assuming a is positive. a**(351/4) Simplify (a**(-4/3)/(a**(-1/3)*a))/(a**(-2/5)*a)**(-1) assuming a is positive. a**(-7/5) Simplify (a*a/(a*a*a**(-8/11)/a))/(a/a**(-9)*a) assuming a is positive. a**(-102/11) Simplify ((x/x**(2/3))**(-8/9))**(-31) assuming x is positive. x**(248/27) Simplify (t**(3/5)/(t**6/t))/(t/t**(-5)*((t**(-2/15)/t)/t)/t) assuming t is positive. t**(-109/15) Simplify (m*m**4*m*m)/m*m/m**(-4/5)*m*m**(2/13)/m**2 assuming m is positive. m**(452/65) Simplify (r**(3/2))**(-35) assuming r is positive. r**(-105/2) Simplify (p**(-2/13)*p*p/(p**(-3/5)*p*p*p*p))**(2/27) assuming p is positive. p**(-202/1755) Simplify (x**(-5/4)*x**(-1/6)/x*x)**(-36) assuming x is positive. x**51 Simplify f**2*f*f**(-31/5) assuming f is positive. f**(-16/5) Simplify (q**18)**18 assuming q is positive. q**324 Simplify (m**(5/4)/(m**(-7)/m))**(-28/5) assuming m is positive. m**(-259/5) Simplify ((((q*(q/((q/(q/((q*(q*q*q*q/q**(-6))/q)/q))*q)/q*q)*q)/q*q)/q)/q)/q**(-5))/((q*q**(3/4)*q)/(q**(-6)*q)) assuming q is positive. q**(-47/4) Simplify n**(1/18)/((n*n**(-14))/n) assuming n is positive. n**(253/18) Simplify (l**(1/4))**(-50)/(l*l/l**(1/4)*l)**(3/16) assuming l is positive. l**(-833/64) Simplify i**(-1)/((i/(i/(i*i**(-6)*i)))/i)*(i*i**(-1)*i)**1 assuming i is positive. i**5 Simplify (v**(-3/10)*v**(-1/17)/v)**32 assuming v is positive. v**(-3696/85) Simplify ((o**(2/5))**(-2/147))**(2/25) assuming o is positive. o**(-8/18375) Simplify q**(-1/6)*q/(q**(-5/3)/q)*(q/(q*q**(-1)))**10 assuming q is positive. q**(27/2) Simplify (h*h**(-3/7)/h)/(h*h**(-3)) assuming h is positive. h**(11/7) Simplify (m**(2/5))**(1/29)*m**(2/17)*m**(-3/10) assuming m is positive. m**(-831/4930) Simplify (s**(-1))**34 assuming s is positive. s**(-34) Simplify (u*u/u**2)**(-1/26)*u**0/(u/(u*u**(-1/4))) assuming u is positive. u**(-1/4) Simplify (((o**(-2/7)/o)/o)/(o**(-6)/o))/((o*o*o**(-1/2)*o)/(o**(-1)*o)) assuming o is positive. o**(31/14) Simplify t/t**(-4)*t/t**(4/9)*t assuming t is positive. t**(59/9) Simplify (a*a/a**(-2/39))**(1/6) assuming a is positive. a**(40/117) Simplify b**(1/4)*b/((b/(b/(b*b**(-3/11)*b))*b*b*b*b*b*b*b*b)/b*b) assuming b is positive. b**(-373/44) Simplify (x*x**(-1)/x*x**(-10/3))/(x**(-1/8)/(x/x**(-3/7)*x)) assuming x is positive. x**(-299/168) Simplify (j*j**(4/11)*j**(-2/19))**(9/11) assuming j is positive. j**(2367/2299) Simplify y**(2/15)*y*y*y*y**(-2/7)*(y**(2/5)*y)**(-9/13) assuming y is positive. y**(2564/1365) Simplify (d**(1/7))**(-3/29) assuming d is positive. d**(-3/203) Simplify (c**0)**(3
{ "pile_set_name": "DM Mathematics" }
ose p(t) = 0. Calculate t. -1, 0, 1, 6 Let q be (5 + -4)/(1/(-18)*-6). Let z(o) be the first derivative of 0*o**q - 4 - 1/18*o**4 + 0*o + 1/9*o**2. Factor z(f). -2*f*(f - 1)*(f + 1)/9 Let v(n) be the first derivative of 4*n**7/315 - n**6/30 + n**4/18 + 5*n**2/2 + 24. Let m(p) be the second derivative of v(p). Factor m(i). 4*i*(i - 1)**2*(2*i + 1)/3 Let x(i) be the third derivative of i**5/140 - 93*i**4/56 + 46*i**3/7 - 49*i**2 + 2*i. Factor x(t). 3*(t - 92)*(t - 1)/7 Let m(b) be the first derivative of -b**7/70 + 7*b**6/40 - 3*b**5/4 + 9*b**4/8 - 51*b**2/2 + 43. Let w(j) be the second derivative of m(j). Factor w(o). -3*o*(o - 3)**2*(o - 1) Let x be (-4)/1 + 9 + -3. Factor 1 + 1 - 3*a - a + 0*a**3 - x*a**4 + 4*a**3. -2*(a - 1)**3*(a + 1) Suppose 286 = 42*d - 44*d. Let s = d + 145. Find o such that -6/5*o**s + 4/5 + 2/5*o**4 - 2/5*o**3 + 2/5*o = 0. -1, 1, 2 Let m(g) be the third derivative of -g**8/336 + g**7/30 + 19*g**6/120 - 7*g**5/60 - 3*g**4/4 - 246*g**2. Determine r, given that m(r) = 0. -2, -1, 0, 1, 9 Factor -1/4*n**2 - 3 + 13/4*n. -(n - 12)*(n - 1)/4 Let d(x) be the third derivative of 2*x**7/315 - x**6/90 - x**5/15 + 5*x**4/18 - 4*x**3/9 + 27*x**2 + 3*x. Factor d(y). 4*(y - 1)**3*(y + 2)/3 Let n(v) be the third derivative of v**5/10 - v**3/6 - 5*v**2. Let y be n(1). Factor 4*g**3 + g**y + 8*g**4 - 5*g**5 + 8*g**5. 4*g**3*(g + 1)**2 Suppose -4*c = 4*y + 2 - 14, c = -2*y + 5. Solve 17*t**2 - 2*t**4 + 8*t**3 + 5*t - 49*t**y + 22*t**2 - t = 0 for t. 0, 1, 2 Suppose -4*c = -20, -4*a - 50 + 57 = -c. Factor 3*f**a + 8/3*f**2 + 0 - 1/3*f. f*(f + 1)*(9*f - 1)/3 Let x(c) be the third derivative of 0*c + 0*c**3 - 1/210*c**7 - 1/60*c**6 - 10*c**2 + 0*c**4 - 1/60*c**5 + 0. Factor x(q). -q**2*(q + 1)**2 Let h(m) = 7*m**3 - 80*m**2 + 35*m - 17. Let y be h(11). Let -46/7*q**4 - 114/7*q**2 + 36/7*q + 118/7*q**3 + 6/7*q**y + 0 = 0. Calculate q. 0, 2/3, 1, 3 Let r(b) be the third derivative of b**8/47040 + 11*b**7/11760 + 8*b**5/15 + 32*b**2. Let y(c) be the third derivative of r(c). Factor y(f). 3*f*(f + 11)/7 Let u(q) = 7*q**2 + 164*q - 768. Let n(m) = -2*m**2 - 40*m + 192. Let o(f) = -9*n(f) - 2*u(f). Suppose o(b) = 0. Calculate b. -12, 4 Let p(s) be the third derivative of s**5/390 - 9*s**4/26 + 53*s**3/39 + s**2 - 330. Solve p(n) = 0. 1, 53 Let z(w) be the first derivative of -w**3/33 - 7*w**2/22 - 12*w/11 - 128. Find t, given that z(t) = 0. -4, -3 Let n(o) = -o**3 + 3*o**2 - 5*o + 8. Let b be n(2). Solve r - 1/4*r**3 + r**4 - 1/4*r**5 - 5/2*r**b + 2 = 0. -1, 2 Let l be ((-166)/18 + 9)*-3. Let b(d) be the first derivative of -13/3*d**3 + 7/5*d**5 + 10*d**2 - 7/2*d**4 + 7 - 4*d + l*d**6. What is y in b(y) = 0? -2, 1/4, 1 Let u(y) be the first derivative of 5*y**3/3 + 5*y**2 + 192. Let u(a) = 0. Calculate a. -2, 0 Suppose 3*n = 5*j - 333, j + 3*n - 98 = -35. Let f = -41 + j. Let 0*a**4 + 3*a**4 + 6*a**2 - f*a**3 + 16*a**3 = 0. Calculate a. 0, 1, 2 Let y(j) be the third derivative of j**8/1008 + j**7/105 + j**6/36 - 11*j**4/72 - j**3/3 + j**2 - 11. Determine u, given that y(u) = 0. -3, -2, -1, 1 Let o(a) = a**2 + 10*a + 5. Let c be o(-10). Suppose 80*g - 38*g**4 - 16*g**c + 3*g**4 + 11*g**5 - 80*g**3 - 40*g**2 + 80 = 0. What is g? -2, 1 Let i(z) be the second derivative of z**5/150 + 11*z**4/45 + 76*z**3/45 + 24*z**2/5 + 85*z. Factor i(k). 2*(k + 2)**2*(k + 18)/15 Let s(a) be the second derivative of a**6/6 - 17*a**5/4 + 65*a**4/2 - 80*a**3/3 - 320*a**2 - 96*a + 1. Factor s(b). 5*(b - 8)**2*(b - 2)*(b + 1) Let c = -13/22 - -23/11. Let f(x) be the first derivative of 8/3*x**3 - 3/4*x**4 + c*x**2 + 0*x - 6. Factor f(s). -s*(s - 3)*(3*s + 1) Let i = 80121/7 + -11391. Let 339/7*h**4 + 612/7*h**3 - 48/7 + 9*h**5 + 0*h + i*h**2 = 0. What is h? -2, -1, -2/3, 2/7 Factor 390*q - 69*q**2 - 6*q**2 + 70*q**2. -5*q*(q - 78) Let j = -192 + 194. Factor z**j + 1/4*z**3 + 1/2 + 5/4*z. (z + 1)**2*(z + 2)/4 Let x(h) be the third derivative of h**6/200 + h**5/300 - h**4/60 + 492*h**2. Determine s, given that x(s) = 0. -1, 0, 2/3 Suppose -3*k + 6*k - 178 = -m, -2*m = 2*k - 116. Solve k*f**5 - 2*f**2 - 36*f**3 - 6*f**2 + 8*f**4 + 4*f - 28*f**5 = 0. -1, -1/2, 0, 1/4, 1 Let t be 20/(-5) + (5 - -2). Factor 2*p**5 - t*p**4 + 8*p**2 + p**2 - 2*p**3 - 7*p**2 + p**4. 2*p**2*(p - 1)**2*(p + 1) Factor -92/19 - 2/19*v**2 + 94/19*v. -2*(v - 46)*(v - 1)/19 Let b = -75 - -63. Let s be (-4 - 0) + (-8 - b). Suppose -3/7*h**2 - 57/7*h**4 - 3*h**5 + s + 6/7*h - 45/7*h**3 = 0. What is h? -1, 0, 2/7 Let v(k) be the second derivative of -7*k + 0 - 2/3*k**3 + 0*k**2 + 1/3*k**4. Factor v(r). 4*r*(r - 1) Let c(t) be the third derivative of t**9/302400 - t**8/100800 + t**5/4 + 17*t**2. Let i(q) be the third derivative of c(q). Factor i(j). j**2*(j - 1)/5 Factor 0 + 3/2*j**2 + 9*j. 3*j*(j + 6)/2 Let a(t) = -t**3 + 69*t**2 - 541*t + 62. Let x be a(60). Factor -2/3 + 2*f + 2/3*f**3 - 2*f**x. 2*(f - 1)**3/3 Suppose 11*z - 13*z + 3*m + 15 = 0, 5*m = -3*z - 25. Factor -1/4*x**2 + 1/2*x + z. -x*(x - 2)/4 Let q(l) be the second derivative of -24/35*l**5 - 2/5*l**6 + 2/3*l**7 + 0*l**2 - 4/21*l**4 + 0*l**3 + 0 + 2*l. Factor q(h). 4*h**2*(h - 1)*(7*h + 2)**2/7 Factor -202*r**3 + 2*r**5 - 207*r**3 + r**4 + 406*r**3. r**3*(r - 1)*(2*r + 3) Let j(k) = -k**2 + 10*k - 12. Let g be j(6). Let y be 3*16/g + -2. Let -7*a**y + 0 + 12*a + 2 + 0 + 2 = 0. What is a? -2/7, 2 Let b(g) be the second derivative of -3/4*g**4 + 0 - 5/2*g**3 + 3/4*g**5 + 2/5*g**6 + 16*g - 3/2*g**2. Solve b(j) = 0 for j. -1, -1/4, 1 Suppose 4*b - 105 = 391. Suppose b*z - 129*z = 0. Solve 0 + z*f**2 - 2/5*f**3 + 0*f = 0. 0 Let h(g) be the third derivative of 0*g + 0 - 1/60*g**6 + g**3 + 23*g**2 + 1/6*g**5 - 7/12*g**4. Factor h(s). -2*(s - 3)*(s - 1)**2 Let z(c) be the second derivative of 5*c**4/4 + 3*c**3/2 - 21*c**2 + 81*c. Factor z(r). 3*(r + 2)*(5*r - 7) Suppose -3*m - 130 = -8*m. Suppose 3 = 4*i + j, 0 = -3*i + 3*j + m - 5. Let 0*k**2 + 0*k**2 - 4*k**2 + 6*k**i = 0. Calculate k. 0 What is a in -89*a - 32 + 20*a**2 - 16 - 23*a = 0? -2/5, 6 Let t(h) be the third derivative of -h**5/90 + 2*h**4/9 - 4*h**3/3 - 66*h**2 - 3*h. Find d, given that t(d) = 0. 2, 6 Let c = -10505/3 + 3457. Let w = 45 + c. Find h, given that 0 + w*h**4 + 1/3*h - 1/3*h**3 - 1/3*h**2 = 0. -1, 0, 1 Let x(i) = -24*i**2 - 192*i - 15. Let z(w) = -11*w**2 - 95*w - 7. Let b(r) = 7*x(r) - 15*z(r). Factor b(v). -3*v*(v - 27) Let z(a) be the first derivative of a**3/12 - 49*a**2/4 + 2401*a/4 + 8. Factor z(g). (g - 49)**2/4 Let r(z) = 18*z**4 + 21*z**3 + 6*z**2 - 3*z. Let u(c) = -7*c - 15*c**3 + 11*c**2 - 4 + 37*c**4 + 4 + 57*c**3 - c**5. Let d(p) = -7*r(p) + 3*u(p). Factor d(x). -3*x**2*(x + 1)**2*(x + 3) Let c be 98/374 + (-4 - (-45)/11). Solve -c*t**3 + 0*t + 0 + 8/17*t**2 - 2/17*t**4 = 0. -4, 0, 1 Solve -5*l + 0 + 55/6*l**2 - 5/6*l**4 - 10/3*l**3 = 0 for l. -6, 0, 1 Let o = 614 - 611. Let n(g) be the second derivative of -1/60*g**5 + 0*g**2 + 1/60*g**6 + 0*g**o - 4*g + 0 - 1/72*g**4. Factor n(r). r**2*(r - 1)*(3*r + 1)/6 Let y = -42 - -50. Suppose 5*p = y + 2. Suppose 0*n**p - 1/4*n**4 + 0*n + 1/4*n**5 + 0 + 0*n**3 = 0. What is n? 0, 1 Factor -1083*u**3 - 446 - 432*u**5 + 63*u + 449 + 723*u**4 + 225*u**2 + 501*u**4. -3*(u - 1)**3*(12*u + 1)**2 Let t = 16091 + -80452/5. Factor 1/5*v**2 + t*v + 0. v*(v + 3)/5 Let w = -4/7697 - -30824/69273. Factor -8/9 + w*f**2 - 14/9*f. 2*(f - 4)*(2*f + 1)/9 Factor -54/11*x**3 + 26/11*x**2 + 0*x + 30/11*x**4 - 2/11*x**5 + 0. -2*x**2*(x - 13)*(x - 1)**2/11 Let z(f) be the second derivative of f**4/36 + 35*f**3/18 - 87*f - 2. Factor z(y). y*(y + 35)/3 Suppose -7 + 1/2*d**4 - 39/2*d**2 - 11/2*d**3 - 41/2*d = 0. What is d? -1, 14 Let r = 2916605/154 + -18938. Let y = -3/22 + r. Let 0*i - 4/7*i**2 + y*i**3 + 0*i**4 + 0 - 2/7*i**5 = 0. Calculate i. -2, 0, 1 Let x = 16509/4 - 4127. Factor 0 + 1/4*j**2 + 1/2*j - x*j**3. -j*(j - 2)*(j + 1)/4 Let f be ((-12)/4)/(0 - 15/20). Solve -f*o**4 + 16*o**2 - 9*o - 5*o**3 - 3*o**3 + 20*o + 21*o = 0 for o. -2, 0, 2 Let w be (((-8)/(-6) + 0)*6)/15. Let i(b) be the first derivative of 1/10*b**4 + 5 + 0*b + 4/5*b**2 - w*b**3. Suppose i(x) = 0. What is x? 0, 2 Let l = 116 + -2899/25. Let d = 23/50 + l. Factor -15/4*t**3 + 1/4*t + d - 4*t**2. -(t + 1)*(3*t - 1)*(5*t + 2)/4 Let j(u) = 175*u**5 - 160*u**4 - 390*u**3
{ "pile_set_name": "DM Mathematics" }
0 + q. Round l to 6 decimal places. -0.000036 Let h be (-8)/(-28) + (-60)/14. Let k be (-171599828)/(-22) + h/22. Suppose 0 = -2*j - 4, d = j - 5*j + k. Round d to the nearest one million. 8000000 Suppose 28809828 + 23990163 = 3*q. Let x be 9/(-12) + q/(-4). Round x to the nearest one million. -4000000 Let y = 0.1 - 0.21. Let g = 4.59 - y. Let c = g + -2.5. What is c rounded to the nearest integer? 2 Let y = 324350051730624.0400049 - 324350065506722. Let a = -13776099 - y. Let x = a - -1.04. Round x to six decimal places. -0.000005 Let o = 437572.3 - 437552.799822. Let f = -19.5 + o. Round f to five dps. 0.00018 Let h(x) = 830*x**2 - 5*x - 9. Let j be h(6). Let d = j - 45941. Round d to the nearest one thousand. -16000 Let n = -0.7 + 0.64. Let i = -71.79 - -71.72978. Let j = i - n. What is j rounded to five dps? -0.00022 Let y(w) = -w**3 + 8*w**2 - 7*w. Let p be y(7). Suppose 5*c + 90 + 145 = p. Round c to the nearest ten. -50 Let y = 58.55163 - 0.08163. Let o = -58 + y. Round o to 1 dp. 0.5 Let p = -0.286 - 1.027. What is p rounded to zero decimal places? -1 Let y be (7 + -12)/((-2)/2444). What is y rounded to the nearest 1000? 6000 Let s = 136.4 - 10.4. Let z = -16 + s. Let u = z + -110.00067. What is u rounded to 4 decimal places? -0.0007 Let w = -979 + 978.6924. Let g = w + 0.29. Let h = -0.02007 - g. What is h rounded to 4 decimal places? -0.0025 Suppose 12*t = -18758 - 1078. Round t to the nearest 100. -1700 Let d(c) = 83001*c**3 - 3 + 4*c - 3*c + 4 + c**2. Suppose -1 = 2*o + 1. Let t be d(o). What is t rounded to the nearest 10000? -80000 Let a = -292.0701 - -0.0701. Let k = -285.46 - a. Let r = 4.31 - k. Round r to 1 decimal place. -2.2 Let x = 11.798609697 - 72.798610527. Let t = -61 - x. Round t to 6 dps. 0.000001 Let c = 270.144 + -9.974. Let y = c - 258. Let s = y + -2.169829. What is s rounded to 5 decimal places? 0.00017 Let g = 0.0546699 - 0.0546. Round g to five dps. 0.00007 Let m = -205 + -74. Let z = m + 277.71. Round z to 1 decimal place. -1.3 Let j = 103 + -102.999998555. Round j to seven decimal places. 0.0000014 Let y = 0.0611 + -0.05687. What is y rounded to 3 dps? 0.004 Let d = 26.886 + -0.286. Let n = d + -26.5817. Round n to three dps. 0.018 Let o(q) = -q - 9. Let i be o(-3). Let k be i + (4 - 2) + 250. Suppose -3*l + k = 5*v - 0*v, 5*v + 5*l - 250 = 0. Round v to the nearest 10. 50 Let v be ((-7318)/8)/((-21 - -5)/(-128)). Round v to the nearest one hundred. -7300 Let t = -88 - -81.3. Let a = -6.7061 - t. Round a to 3 dps. -0.006 Let p = 0.0466 - 219.0466. Let m = -218.9629 - p. Round m to three decimal places. 0.037 Let h = 176957167 - 176957102.0000088. Let f = -65 + h. Round f to 6 dps. -0.000009 Let r be ((-8)/(-10))/(2/(-15)). Let k be 4 + r + 1*-2. Let g be k/26 - (-176149990)/(-65). Round g to the nearest one hundred thousand. -2700000 Let d = -654.548023 - -654.838. Let r = -0.71 + 1. Let o = d - r. Round o to five decimal places. -0.00002 Let h(b) = -435554*b**2 + 7*b + 7. Let o be h(-3). What is o rounded to the nearest 100000? -3900000 Let w = -1.2282 + -0.1218. Round w to the nearest integer. -1 Let j(x) = -3*x - 7. Let w be j(-3). Suppose s - 2 = w. Let q be -280000 - 0*s/8. Round q to the nearest 100000. -300000 Let y = 2.1 - 0.1. Let t = y - 2.5. Let v = t - -4. Round v to 0 decimal places. 4 Let t = 143 - 142.9999848. What is t rounded to 6 dps? 0.000015 Let m = 9419 - 9419.4913. What is m rounded to one dp? -0.5 Let w = -150.6 + 137. Let q = 12 + w. Let n = 0.8 + q. Round n to 1 dp. -0.8 Let j = -1.2 - -1.23. Let u = j - -5.97. Let l = 5.84 - u. Round l to one dp. -0.2 Let x = 218.00000194 - 218. Round x to six decimal places. 0.000002 Suppose -p - 2*p - 15 = 0, p = -2*b + 9457699. Let v = b - 708852. Round v to the nearest 1000000. 4000000 Let w(b) = 12*b - 12*b + 1 + 4*b**3 - 21*b**3. Let l be w(1). Let u be (1875/1)/(1/l). What is u rounded to the nearest one hundred thousand? 0 Let r = -26.593 + -0.207. Let g = 0.068 - 9.068. Let d = r - g. What is d rounded to 0 dps? -18 Let q = 5701.9990724 + -5702. Round q to 5 decimal places. -0.00093 Let i = 2751649.0491563 + -0.0491563. Let y = 2751637.999965 - i. Let t = 11 + y. What is t rounded to five dps? -0.00004 Let o = 57.984 - 58. Let v = o + 0.016481. Round v to 4 decimal places. 0.0005 Suppose l - 14 = -4*b, -1 = 4*b - l - 11. Let c(i) = 523*i**2 - 4*i + 5. Let j be c(b). What is j rounded to the nearest one thousand? 5000 Let u = -54978 + 100019. Suppose 80948 + u = 2*a - 5*t, 5*t + 62992 = a. Suppose -5*r - 3*s = -7*s - 314988, -r + s = -a. Round r to the nearest ten thousand. 60000 Let j = 89 - 89.042. Round j to 2 decimal places. -0.04 Let s = -47 - -51.1. Let m = -31.7 - -27. Let k = s - m. What is k rounded to zero decimal places? 9 Suppose -2*s + 6 = w, -3*s + 6 + 3 = 2*w. Suppose -y = -s*x - 393000, -2*y - 2*y = -3*x - 393000. What is x rounded to the nearest 10000? -130000 Let i = -42 + 42. Let x be i + (141250/3)/(2/(-1440)). What is x rounded to the nearest 1000000? -34000000 Let z = -256.000000074 - -256. What is z rounded to seven decimal places? -0.0000001 Let o = 0.22 + -0.17. Let v = o + -0.05. Let t = -0.3 - v. Round t to one dp. -0.3 Let r = 79.33 + -112.16. Let c = r + -3.27. Let y = -25 - c. Round y to zero dps. 11 Let i be (216/45)/(-12) - 46004/(-10). Round i to the nearest 1000. 5000 Suppose -3*t - 15 = -0*t, 4*p + 4*t - 198808 = 0. Let b = -28807 + p. What is b rounded to the nearest one thousand? 21000 Let c = 26.87 - 27. Let y = -1277.53 + 1269. Let q = y - c. Round q to the nearest integer. -8 Suppose -3*w + 85571 = -2*w. Suppose w - 261571 = 4*f. Round f to the nearest ten thousand. -40000 Let y = -231.86 - -234. Let d = -1.7 + y. Let o = 0.4400238 - d. Round o to 6 dps. 0.000024 Let t = -221.2 - -43.2. Let m = t + 178.00199. What is m rounded to 4 decimal places? 0.002 Let p(g) be the second derivative of -g**4/12 - 8550000*g**2 + 32*g. Let a be p(0). What is a rounded to the nearest 1000000? -17000000 Let o = 12.3 - 12. Let g = -0.452 + o. Let s = -0.1453 - g. Round s to 3 dps. 0.007 Let u = -76 + 75.99008. Let m = -7 - -7.01. Let g = u + m. Round g to 5 dps. 0.00008 Suppose 0 = -w - 4*t + 9 - 3, 0 = w - 5*t + 3. Suppose 3*p + w*p + 470010 = 0. Let o be -2 + p + (-8)/(-2). Round o to the nearest 10000. -90000 Let a = 1.074 + -0.074. Let y = a - 0.977. Round y to two decimal places. 0.02 Let q = -51 + 48.3. Let h = 989 + -986.3088. Let b = h + q. Round b to three decimal places. -0.009 Suppose k = 5*i + 132, -k - 3*k + 5*i + 483 = 0. What is k rounded to the nearest ten? 120 Let l = -390 - -228. Let g = -0.3407 - 152.9593. Let m = l - g. What is m rounded to the nearest integer? -9 Suppose i + 648 = -3*u, -1491 = 5*i + 5*u + 1749. Let n = 948 + i. Suppose 2*g - n = -g. Round g to the nearest 10. 100 Suppose 0 = -v, -3*f - 1182 = 2*v + v. Let d = -226 + f. What is d rounded to the nearest one hundred? -600 Let w = 2098551335169.999892 + -2098590030123. Let c = w - -38694889. Let p = c + 64. What is p rounded to five dps? -0.00011 Let s = 387203 + -387246.5391. Let k = s - -43.60210124. Let z = -0.063 + k. What is z rounded to 7 decimal places? 0.0000012 Let i = 2.163 + 0.087. Let l = i - 2.25109. What is l rounded to four decimal places? -0.0011 Let a = -48 + 32. Let n = a + 15.9999983. What is n rounded to seven decimal places? -0.0000017 Let f = 23171235.69999865 - 23171235. Let a = f + -0.7. What is a rounded to 7 dps? -0.0000014 Let z be ((-58)/(-4))/(((-1)/2182)/(-1)). Let t = z + -65639. What is t rounded to the nearest ten thousand? -30000 Let f = -471.20842 - -0.10842. Round f to the nearest 10. -470 Let t = -2110 - -2110.000001401. Round t to 7 dps. 0.0000014 Let x = 7 - 2. Suppose -5*g + 1099990 = r, -2*r + 188119 + 2011891 = -x*g. What is r rounded to the nearest one hundred thousand? 1100000 Let f = 400 + -399.9583. Let m = f - -0.0321. What is m rounded to 3 dps? 0.074 Let z = 28512 + -28518.0194. Let p = -5.9 - z. Let l = -0.12 + p. What is l rounded to four dps? -0.0006 Let d = -2.457 + -0.473. Let m = 0.03 + d. Let v = -6 + m. What is v rounded to the nearest integer? -9 Let w = -28566 - -29591.11. Let k = -1020 + w. Let c = k - 5. Round c to one dp. 0.1 Let c(i) = i**3 + 14*i**2 + i - 15. Let s be
{ "pile_set_name": "DM Mathematics" }
2. 40 Suppose 3 = 102*k - 101*k, 2*k = 4*g - 42. Let h = 10 + 13. What is the remainder when h is divided by g? 11 Let x(g) = 8*g - 11. Let m(n) = n**3 + 3*n**2 - 3*n - 3. Let w be m(-3). Let f = -1 - -14. Calculate the remainder when x(w) is divided by f. 11 Let z be (-2)/3 + 34/6. Suppose -2*s + 3*j + 20 = 2, z*s - 67 = 2*j. Suppose 5 = -2*o + s. Calculate the remainder when o is divided by 4. 1 Suppose -4*g - 5*d + 147 = 0, 65*g - 69*g = 4*d - 152. Suppose -29 = -3*f + 28. Calculate the remainder when g is divided by f. 5 Suppose -34*h + 2980 = -14*h. Calculate the remainder when h is divided by 17. 13 Suppose 0 = 5*s - 2*g + 19, 3*g = -3*s + g - 21. Let w(z) = -z**3 - 4*z**2 + 3*z + 2. What is the remainder when w(s) is divided by 7? 5 Let r(v) = 7*v + 5. Let k be r(-4). Let z = 57 + k. Let o = -14 + z. What is the remainder when 77 is divided by o? 17 Suppose z - 467 = -2*n, -2*n + 8 = -2. Calculate the remainder when z is divided by 66. 61 Let r be (5 - 2) + 4 + -3. Suppose 4*c - 4 = 2*c, -4*z = -r*c - 96. Calculate the remainder when 51 is divided by z. 25 Suppose -4*a + d = -82, 3*a - 6*d - 69 = -9*d. Calculate the remainder when 145 is divided by a. 19 Suppose 5*b + 819 = 12*b. What is the remainder when b is divided by 2 - (2 + (-2 - 28))? 27 Let z = -29 + 44. Let j(o) = 15*o + 12. Calculate the remainder when j(11) is divided by z. 12 Let k = 1493 - 1439. What is the remainder when 125 is divided by k? 17 Let q = -24 + 34. Let m = 6 + -6. Suppose m = -2*h + 8 + q. Calculate the remainder when 33 is divided by h. 6 Let j = 20 + 49. Suppose 5*o - p - 55 = 67, 0 = -o + 3*p + 30. What is the remainder when j is divided by o? 21 Let i(c) = c**3 - 9*c**2 - 3. Let x be i(9). Let f = x + -4. Let s = 22 + f. Calculate the remainder when 42 is divided by s. 12 Suppose 3812 - 5452 = -10*i. Calculate the remainder when i is divided by 7. 3 Suppose 7*r - 7 + 0 = 0. What is the remainder when ((-8)/3)/(r/(-12)) is divided by 9? 5 Suppose 49*m - 1521 = 10*m. What is the remainder when m is divided by 13? 0 Suppose 231*x - 234*x + 363 = 0. What is the remainder when x is divided by 25? 21 Let v(y) = -y**2 + 23*y + 72. Let f be v(24). Calculate the remainder when (-5)/40*-10*f is divided by 32. 28 Suppose -4*l + 215 = 5*q, -l + 9 + 33 = q. What is the remainder when q is divided by 10? 7 Let i be -3*4/(-12) - 9. Let o be 14/i - 5/20. What is the remainder when 2*19*(-1)/o is divided by 11? 8 Let f = 26 + -6. Let o = -70 - -40. Let b = o - -69. Calculate the remainder when b is divided by f. 19 Suppose 4*a - 3*i = 62, -3*a - 2*a + 4*i + 78 = 0. Let o = a + -12. Suppose 2*y - 80 = -o*y. Calculate the remainder when y is divided by 11. 9 Suppose 0 = 10*z + 4*z - 29862. Calculate the remainder when z is divided by 24. 21 Suppose 12*m - 2864 = 7516. What is the remainder when m is divided by 11? 7 What is the remainder when 106 is divided by 270/35*(3 - 20/(-12))? 34 Let x be -1 - (1 + 2) - -19. Suppose -x*r + 13*r = -76. Suppose -3*d + r = 4*b, 0*d - 40 = -4*b - 4*d. Calculate the remainder when 13 is divided by b. 5 Suppose 2*u - 64 = 108. Calculate the remainder when u is divided by 217/(-20)*-2 - (16290/(-300) + 54). 20 Let l be 9/21 - (-230)/(-14). Let x = l + 15. Calculate the remainder when 31 is divided by 48*-4*x/12. 15 Let g(j) = -j**2 + 7*j + 1. Suppose 9 = -2*t + 33. What is the remainder when t is divided by g(6)? 5 Let i = -10 - -55. Calculate the remainder when 134 is divided by i/(-1 + (-10)/(-5)). 44 Suppose -3*k - t + 138 = 0, 0*k - 2*k - 3*t = -85. Calculate the remainder when k is divided by 29. 18 Let x(i) = -i**2 - 8*i + 4. Let f(j) = 4*j**2 + 36*j + 13. What is the remainder when f(-10) is divided by x(-7)? 9 Suppose -4*h - 1 = -153. Calculate the remainder when 374 is divided by h. 32 Let h be 2 + -5 - (-27)/9. Let p be h + (24/4 - 3). Suppose 0 = 4*k - 5*k - p*u + 46, 0 = -3*k + 3*u + 90. Calculate the remainder when k is divided by 7. 6 Suppose 152 = -7*m - m. Calculate the remainder when m*(-8 + 9)*1*-1 is divided by 6. 1 Let g = -87 - -106. Suppose -4*l + 54 + 243 = -z, l + 5*z = 69. Calculate the remainder when l is divided by g. 17 Suppose 5*d - 68 = 4*d + 3*f, 0 = d - f - 58. Calculate the remainder when d is divided by 13. 1 Let o(d) = -d - 75. Let u(l) = -1. Let f(z) = -o(z) + 6*u(z). Let i be (0/(6/3))/1. What is the remainder when f(i) is divided by 18? 15 Suppose 2304 = 8*l + 24*l. Calculate the remainder when 188 is divided by l. 44 Suppose -p - 2*p + 5*h = 57, 0 = -3*p + 2*h - 66. Let x = p - -42. What is the remainder when x is divided by 11? 7 Let y(m) = -12*m + 11. Let p be (0 - 6)*8/12. Calculate the remainder when y(p) is divided by 15. 14 Suppose 11*n = 6*n + 20. Calculate the remainder when (24/(-36))/(n/(-138)) is divided by 6. 5 Suppose 3*w = -w + 560. Suppose -5*h = -w + 30. Let i(x) = x**3 + 3*x**2 - 3*x - 4. Calculate the remainder when i(3) is divided by h. 19 Suppose 2*y - 14 + 8 = 0, 3*p = y + 3. Suppose 4*m - 10 = p*m. What is the remainder when 8 is divided by m? 3 Suppose 3*x + 18 = -5*w, 4 = -x + 2*w - 2. Let z(g) = g**2 + 3*g - 8. Let o be z(x). What is the remainder when 4*o/12*3 is divided by 4? 2 Let t(o) = -10*o - 25. What is the remainder when 474 is divided by t(-5)? 24 Suppose -4*u - 75 - 77 = -4*j, 2*u = -4*j + 128. Calculate the remainder when 2/4 + (-382)/(-4) is divided by j. 28 Let q be (72/14)/(4 - 410/105). Suppose 19*o = 18*o + q. Calculate the remainder when o is divided by (-4)/(-14) - 96/(-7). 12 Suppose -x = 2 - 20. Suppose 0 = 6*m - x - 78. Calculate the remainder when 126 is divided by m. 14 Let d(x) = x**3 + 19*x**2 + 2*x - 2. Let l be d(-19). Let g = 74 + -22. Calculate the remainder when g is divided by (-1107)/(-63) + (-1 - l/28). 16 Suppose -3*i + i = -100. Suppose 4 = 4*y, -4*c + 8*y - 4*y = -40. Calculate the remainder when i is divided by c. 6 Let v(k) = 2*k**2 + 5*k + 7. Let n be (2 - 0) + 70/(-10). Calculate the remainder when v(n) is divided by 12. 8 Let b(i) be the second derivative of 0 + 2*i + 1/2*i**3 + 0*i**4 + i**2 - 1/2*i**5. What is the remainder when b(-1) is divided by 6? 3 Suppose -9 = -i - 2. Suppose -10 = -z + i. Calculate the remainder when z is divided by (19 + 4/(-4))*(-4)/(-8). 8 Let r(y) = -24*y + 4. Let i be r(-4). Suppose -7*u + i = -509. Calculate the remainder when u is divided by 13. 9 Let i = -26 + 44. Suppose -3*a - 47 = -5*u, -5*u = -a - 37 - 12. Calculate the remainder when i is divided by u. 8 Suppose -3*h + 3 = -33. Let i = -80 - -280. Suppose 5*q - i = 85. Calculate the remainder when q is divided by h. 9 Let s = -1288 - -1319. What is the remainder when 92 is divided by s? 30 Suppose q + 9 = 3*y, -q + 10*y - 13 = 6*y. Suppose 3*w - 4*j = 127, -95 = -q*w - 5*j + j. What is the remainder when w is divided by 20? 17 Let u(g) = -g**2 + g + 22. Let x be u(0). Let o = x + 83. What is the remainder when o is divided by 27? 24 Let r(v) = v + 23. What is the remainder when r(0) is divided by (-7)/(-2) - (-126)/84? 3 Let c be 0 + 2 + 4 + -2. Suppose -c*j + 5 = 2*m - 21, 4*j - 5*m - 19 = 0. What is the remainder when 113 is divided by j? 5 Suppose 3*p = 9*p - 348. Suppose 5*b = a + p, 2*a + a - 6 = 0. Calculate the remainder when 22 is divided by b. 10 Let z(h) = 15*h**2 - 6*h - 3. What is the remainder when 105 is divided by z(1)? 3 Let r(i) = 7*i + 42. Let f be r(-6). What is the remainder when 64 is divided by 0 + -5 - (f - 27)? 20 Let x = -621 - -852. Calculate the remainder when x is divided by 29. 28 Calculate the remainder when (9 + -16 - 195)/(-2) is divided by 93. 8 Let a = 8 + -2. Let v = 26 - -56. What is the remainder when v is divided by 3*a - (0 + -3)? 19 Let t(g) = g**2 + 9*g - 14. Let p = -31 + 14. Let h = 30 + p. What is the remainder when t(-13) is divided by h? 12 What is the remainder when -6*(-12 - (-90)/27) is divided by 27? 25 Suppose 0 = -y - 3, 4*j + 25*y - 2263 = 26*y. What is the remainder when j is divided by 81? 79 Let p = 143 - 117. Calculate the remainder when 6*(-3)/(-27) + 619/3 is divided by p. 25 Suppose 1267 = 6*v - 557. Calculate the remainder when v is divided by 28. 24 Suppose 5*g = -t + 71, 5*t + 5*g - g = 313. What is the remainder when 241 is divided by t? 58 Let x(f) = f**2 + 45*f - 225. Calculate t
{ "pile_set_name": "DM Mathematics" }
ultiple of 32? True Let j(n) = -8*n - 12*n + 35*n - 23. Is 14 a factor of j(9)? True Let i = -30 + 650. Is 4 a factor of i? True Let v(s) = 10*s**2 + 2*s + 10. Does 20 divide v(9)? False Let g(v) = -v**2 + 4*v + 2. Suppose -3*p - 4*x - 1 = -6, 3*x = -p. Let a be g(p). Let c(j) = -j**3 + 5*j**2 + 4*j - 3. Is c(a) a multiple of 17? True Suppose 42*v = -25 + 487. Is v even? False Suppose 5*z - 15 = 2*w - 54, 29 = 2*w + 5*z. Let g = w - -19. Is 6 a factor of g? True Suppose -10 + 14 = -y. Let w = y + 8. Suppose -w = -3*o + 5*t, -o - 3*t = -2*o. Is o a multiple of 3? True Let b = 126 - 60. Suppose -185 = 5*h - 205. Let t = b - h. Is t a multiple of 22? False Suppose -4*c - 6 = -c. Let s(r) = 2*r**2 - 4 - 230*r**3 - 3*r**2 - 2*r + 229*r**3 + 0 + 3. Is s(c) a multiple of 7? True Suppose -5*z + 706 = -3*z - 4*v, 5*z + 5*v - 1690 = 0. Is z a multiple of 6? False Let g(w) = 44*w + 25. Let b be g(12). Does 37 divide ((-16)/(-32))/(b/276 - 2)? False Suppose -64*z + 4*o - 7832 = -69*z, 4*z - 6274 = o. Is 16 a factor of z? True Let m(v) = 127*v**3 + 3*v**2 - 1. Let f be m(1). Is (f/6)/(2*2/24) a multiple of 25? False Let k be -6*(-2)/(-12)*-4. Suppose 0 = -n - n - 4*h + k, -6 = -3*n + h. Suppose s - 7 = -n. Does 2 divide s? False Let p(w) = -6*w**2 + 5*w - 4. Let v(s) = -s**2 - s - 1. Let f(k) = -p(k) - 2*v(k). Is 11 a factor of f(2)? False Let v(p) = -6*p + 2. Let j(s) = 6*s - 3. Let b(r) = -4*j(r) - 3*v(r). Let m(d) = -6*d + 7. Let z(n) = -3*b(n) + 2*m(n). Does 4 divide z(2)? True Let z = 22 - 22. Suppose 2*x + 18 = 3*d, 2*d + 7 = -5*x - z. Suppose 3*n - 167 = -4*s - 15, -4*s - 240 = -d*n. Is n a multiple of 14? True Let v = 15 - 12. Suppose v*n + 5*m = 2*n + 3, 4*m + 2 = -3*n. Is n/(-11) - 62/(-22) a multiple of 2? False Suppose -41*s + 38*s = -684. Is s a multiple of 32? False Let i = -119 + 669. Does 55 divide i? True Let o be 2*-1 + (3 - -3 - -10). Let m = 77 - o. Is 9 a factor of m? True Let n(j) be the third derivative of -j**6/60 - j**5/60 + j**4/24 + 7*j**3/2 - 3*j**2. Is n(0) a multiple of 21? True Let d = 2315 + -666. Is d a multiple of 12? False Suppose -2*y = -5*y + 3. Let c(l) = -y + 10 - 1 + 6 + l. Is c(-10) even? True Let q = -78 - -168. Is 15 a factor of q? True Let f(c) be the third derivative of -c**4/12 + 25*c**2. Does 13 divide f(-15)? False Is -7 - (0 - 1) - -225 a multiple of 36? False Let p = -576 + 1341. Is 17 a factor of p? True Let l = -1698 + 2534. Does 76 divide l? True Suppose 2 = r - 9. Suppose -2*x - r = 21. Let o = x - -50. Is 26 a factor of o? False Suppose 110*d - 7620 = -17*d. Is 12 a factor of d? True Let o be 52/20 + (-6)/(-15). Suppose o*k - 32 = -0*k - 4*n, -2*n + 10 = 0. Suppose -14 = -3*p - 5*t, 4*p + k*t = 5*p - 16. Is p a multiple of 4? True Let u(x) = 2*x - 5 + 18*x - 11*x. Is u(10) a multiple of 18? False Suppose 3559 = 5*j + 2*l, 3*j + 4*l - 2840 = -j. Is 23 a factor of j? True Suppose -4*i + 4*m = -17 - 3, 0 = 2*i + 2*m - 6. Suppose q + 2*q - 123 = 3*b, -5*q + 206 = -i*b. Suppose 5*o = q + 168. Does 14 divide o? True Let m = -6 - -6. Suppose m = -4*u - 4*c + 20, 6*u = u - 3*c + 19. Suppose 5*b = -5*z + 165, -1 = z - u. Does 16 divide b? True Suppose -2031 = 12*g - 6339. Is g a multiple of 23? False Suppose 4*u = -5*w + 40, 0 = -5*u - w + 69 - 19. Suppose -18*c + u*c + 128 = 0. Does 8 divide c? True Suppose 9*z - 3 + 12 = 0. Is 5 a factor of 0 + z/(-4) - 398/(-8)? True Let x(a) = -a**2 - 2*a + 3. Let l(u) = u**2 - 1. Let p(i) = -2*l(i) - x(i). Let g be p(2). Is 13 a factor of (g/((-3)/(-159)))/(-1)? False Let t be 1/(-1)*(2 - -1). Let v(l) = l**3 + 2*l**2 - 3*l - 3. Let x be v(t). Is 10 a factor of (-30)/(5/(10/x))? True Let q be (-20)/2*(-6)/(-15). Does 42 divide (-2)/(855/(-3260) + (-1)/q)? False Suppose -2*x - 8 = 0, 20*m + 5*x = 18*m + 7528. Is m a multiple of 51? True Is (-16)/152 + 7194/114 a multiple of 6? False Let d(s) = -8*s**2 + s**3 - 8*s + 3 + 2*s**2 + 4. Let w be d(7). Suppose -z - 15 = -2*j - w*z, 4*j - 20 = 4*z. Does 7 divide j? False Is 49 a factor of 16062/18 + 14/(-6)? False Let j(p) = -22*p + 6. Let m be j(-15). Suppose 0 = 5*y - y - m. Is 14 a factor of y? True Suppose 696 = 4*i - 2*w, -3*w + 149 = i - 39. Is 11 a factor of i? True Let l(g) = g - 10. Let s be l(10). Suppose 2*n - 2*w - 27 = -w, s = -n + w + 11. Let i = n + -6. Is i a multiple of 10? True Is (-1137)/(-7) + 297/(-693) a multiple of 6? True Let y(o) = o**3 + 12*o**2 + 4*o + 50. Does 44 divide y(-10)? False Suppose -6*k + 111 + 525 = 0. Suppose b - k = -22. Does 12 divide b? True Suppose 3*f - 6*x + x = -14, -2 = 5*f - 3*x. Suppose -5*w = 3*p - 59, -f*p = -w - 0*p + 17. Is w a multiple of 13? True Suppose 41*z + 4*x = 42*z - 4844, -4838 = -z + x. Is z a multiple of 52? True Suppose 4*l - 20 = -5*b, 3*b - 2*l + 10 = 5*b. Suppose b = -30*u + 33*u - 456. Is u a multiple of 38? True Let i(q) = q - 8. Let p = 6 - -6. Let a be i(p). Suppose 0 = -k - a*k + 100. Does 15 divide k? False Suppose 7*d + 2 = 6*d. Let q be ((-7)/14)/(d/4). Is 7 a factor of 30*(-2 + 3)*q? False Let b = 1935 + -1750. Is 9 a factor of b? False Let u(l) = -6*l**2 + 1 + 4*l**2 + 14*l**3 + 13*l**3. Let a be u(1). Let w = a - 18. Does 2 divide w? True Suppose -4*u - 52 = -3*g - 8, -u = -1. Is g a multiple of 7? False Let b = -2333 + 3578. Is b a multiple of 5? True Let h(u) be the third derivative of u**6/120 + 3*u**5/20 - 5*u**4/12 + 2*u**3 + 10*u**2. Suppose -2*i - 2*k - 16 = -6, -4*k = 5*i + 30. Is 8 a factor of h(i)? False Let t = -20 - -22. Let r(a) = 5*a. Is r(t) a multiple of 3? False Let a(f) = -16*f**3 - f**2 - 4*f. Let h be a(-2). Suppose 0*n = -x - 2*n + h, -4*x = -n - 564. Is x a multiple of 20? True Let m(o) = -o**3 - 22*o**2 + 5*o + 1. Let a be m(-22). Let b = -76 - a. Is 17 a factor of b? False Let m = -54 + 59. Suppose m*t = 129 + 51. Is t a multiple of 12? True Suppose 0*s = -s + 5*k - 7, k = -2*s + 8. Is -1 + s*((-38)/(-6) - 2) a multiple of 12? True Suppose 1320 = -2*k + 10*k. Is k/(-44)*88/(-3) a multiple of 22? True Suppose 0 = 6*i - 13 - 5. Suppose 5*l - 16 = l + n, 0 = l - i*n + 7. Is l a multiple of 2? False Let h(y) = -26*y + 112. Is h(-15) a multiple of 13? False Let l = -117 - -117. Suppose l = z - 0*z - 2*c - 152, -2*c = -5*z + 728. Does 24 divide z? True Suppose 11*f - 240 - 1883 = 0. Let z = f + -46. Is 10 a factor of z? False Let c = 15 + -2. Let m be c/((1 - -2) + -2). Suppose 2*f + m = 61. Is f a multiple of 24? True Suppose -4*c = -3*y + 1757, -496 = -2*y + 4*c + 682. Is 12 a factor of y? False Suppose 4*s = -4*w + 1932, 16*w = 11*w + s + 2409. Does 8 divide w? False Let m(d) = -d**3 + d. Let g = 14 + -14. Let o be m(g). Suppose o = 5*j - j - 16. Does 3 divide j? False Let p(z) = -26*z. Let b be p(2). Let t(j) = -j - 20. Let x be t(14). Let v = x - b. Does 6 divide v? True Suppose -10*q = -12*q. Let j be -2 - (-6 - q) - -1. Suppose 0*g = -j*g + 425. Does 21 divide g? False Let z(g) = 37*g - 148. Is z(17) a multiple of 6? False Suppose -5*z - 5*s = -1505, -s + 651 = 2*z + 48. Does 24 divide z? False Suppose -543 = -2*z - 5*y - 128, 1012 = 5*z + 4*y. Is z a multiple of 5? True Let z(q) = -q**3 + 9*q**2 + 11*q. Let l be z(10). Let n(w) = -w**2 + 7*w + 9. Let j be n(l). Let c = 26 + j. Does 5 divide c? True Suppose -4*g = 4*p - 8*g + 36, -4*p - 63 = 5*g. Is p/(8/(480/(-9))) a multiple of 16? True Suppose -k = -x + 2*x - 40, -4*x - k + 166 = 0. Is 13 a factor of 2/6 - (-3934)/x? False Suppose -2*w + 6 + 14 = 0. Let z = w + -10. Suppose -2*c - 3*c + 85 = z. Does 17 divide c? True Suppose -4*a + 818 + 1208 = -3*j, j + 2538 = 5*a. Is a a multiple of 122? False Let j(r) = -r**3 - 2 + 0*r**2 - 2*r**3 - 3*r - 3*r**3 - r**2. Is j(-2) a multiple of 12? True Suppose -10*d = -1500 - 1320. Does 31 divide d? False Let r(l) = -l**2 - l. Let g(i) = -7*i**2 - 7*i - 2. Let b(x) = g(x) - 6*r(x). Let y be b(-10). Let f = y + 146. Is f a multiple of 18? True Let j(w) = w**2 - 3*w + 5. Suppose -4*g = -4*p + 40, -5*p = -4*p - 3. Does 25 divide j(g)? True Suppose -4*w = -3*w - 5. Let o = 11 - w. Is 2 a factor of o/(-3)*-3 + 1? False Let w = 146 + 148. Is w a multiple of 14? True Suppose -9*n = -8*n - 75. Is n even? False Let q(l) = 570*l**2 + 7*l - 23. Does 10 divide q(3)? False Let f = -10 + 15. Let v = 7 + f. Suppose -v*l = -8*l - 288. Is l a multipl
{ "pile_set_name": "DM Mathematics" }
Work out -231 * 1.01. -233.31 What is 15.3 times -6? -91.8 -0.075 * -2 0.15 Calculate -177*-9. 1593 Calculate -0.3*-139. 41.7 What is 16 times 24.3? 388.8 13.15 * -0.5 -6.575 Product of 3 and 323. 969 -0.4*14 -5.6 Work out 193 * 2. 386 Product of 1 and 70. 70 -0.05 times 8 -0.4 Calculate -9*25. -225 568*0.2 113.6 4 times -80.4 -321.6 Multiply 78 and -2. -156 What is -181.8 times -0.2? 36.36 Calculate 1.7*0.02. 0.034 Product of 256 and -5. -1280 -2.3 * -320 736 Work out -19.63 * 0.3. -5.889 What is the product of -50 and 1.6? -80 Work out -0.0867 * 4. -0.3468 Work out -0.1 * -6.7. 0.67 Work out -977 * -0.3. 293.1 0.03 times -4.05 -0.1215 What is -3 times 495? -1485 What is the product of -3 and -106? 318 Calculate -0.07*2. -0.14 0.5 * -0.26 -0.13 Product of -21 and 0.01. -0.21 -0.656 * -0.02 0.01312 Product of -0.3 and 0.604. -0.1812 0*-393 0 177 * -0.1 -17.7 9 times 0.42 3.78 Work out 0.1 * -654. -65.4 -1.664*0 0 Product of 0.0035 and -3. -0.0105 -97*-0.1 9.7 60.3 times 0.1 6.03 What is the product of -1 and -124? 124 13346 times 0.5 6673 Product of 3539 and -3. -10617 2*1.83 3.66 -31211 * -0.1 3121.1 -10.3*8 -82.4 28*0.083 2.324 5*0.66 3.3 5728 * 0.03 171.84 What is the product of 0.4 and 5789? 2315.6 Calculate -50*-1. 50 Calculate -0.39*67. -26.13 What is 2048 times 0.3? 614.4 130 * 0.14 18.2 Product of 0.1 and -6.1. -0.61 What is the product of 0.4 and -0.8? -0.32 133*4 532 0.56*2 1.12 7*1297 9079 272 times -0.026 -7.072 What is 3088 times 5? 15440 -63*0.99 -62.37 What is -1.72 times 0.1? -0.172 -676 times 0.1 -67.6 -0.09 * -893 80.37 What is -0.128 times -3? 0.384 What is the product of 6 and 0.39? 2.34 Calculate 40*0.05. 2 4 * -1223 -4892 0.1 times -306.2 -30.62 What is the product of -0.99 and -5? 4.95 Work out 29 * 0. 0 Multiply 0.419 and -4. -1.676 -0.2 * 34 -6.8 Work out -0.039 * -0.74. 0.02886 Work out 0.46 * -106. -48.76 Calculate -3644*-0.1. 364.4 Product of -31.5 and -3. 94.5 -3 times 308 -924 4.3 * 32 137.6 0 times 34 0 0 * -5351 0 18.2 * 0.4 7.28 0.059 times -0.4 -0.0236 What is 189 times -0.5? -94.5 Work out -1 * 20.2. -20.2 Calculate 0.5*2.8. 1.4 Calculate 46*-1.1. -50.6 -0.0853 * -0.11 0.009383 What is the product of 0.07 and -10.95? -0.7665 What is -3 times -14? 42 Calculate 3923*-0.3. -1176.9 -0.02*-8 0.16 8*76 608 Work out 0.2 * 0.0226. 0.00452 Product of 3.2 and 18. 57.6 -0.2027*-3 0.6081 -0.8063*0.2 -0.16126 What is the product of 274 and 0.5? 137 Calculate 5.7*-0.3. -1.71 Calculate 3*-1661. -4983 Work out 7 * 0.016. 0.112 Work out 0.1 * 53.4. 5.34 Work out -2025 * 2. -4050 Work out 283 * 0. 0 0.5 times -252 -126 Product of 0.3 and 181. 54.3 Multiply -0.89 and 6. -5.34 Work out -11 * -0.15. 1.65 Multiply -0.18 and 5. -0.9 What is the product of -0.1 and -0.168? 0.0168 What is the product of -2.39 and 4? -9.56 Calculate 0.246*14. 3.444 0 times 0.0519 0 -492 times -1 492 Multiply 5 and 2188. 10940 Multiply 83 and -0.2. -16.6 Product of 1 and 0.037. 0.037 36*-0.4 -14.4 -0.3 * 0.057 -0.0171 Multiply 0.222 and -3. -0.666 What is 0.3 times 835? 250.5 What is 60 times -0.5? -30 -0.5*-0.0098 0.0049 45*-2.7 -121.5 What is the product of -0.074 and 37? -2.738 -0.1*0.04 -0.004 0.3 * 0.0081 0.00243 Work out 18 * -0.9. -16.2 What is 0.23 times 0.1? 0.023 What is -6.421 times -0.5? 3.2105 0*0.23 0 Product of -0.1 and 1.189. -0.1189 Calculate -0.398*-0.13. 0.05174 What is -7 times 19? -133 Calculate 0.5605*3. 1.6815 Calculate 0.8*3. 2.4 What is 2 times 2.487? 4.974 Work out -0.2 * 50. -10 What is the product of -799 and 0.1? -79.9 4 * 7.9 31.6 7 times 37 259 What is -88 times -5? 440 18*-20 -360 Multiply 0.433 and -0.5. -0.2165 -0.4 times 2.223 -0.8892 Work out -53.9 * 0.13. -7.007 2399*0.2 479.8 -120*-24 2880 0.0722 times -3 -0.2166 Work out 0.3 * -3.8. -1.14 What is the product of 5 and 6681? 33405 What is 9055 times 0.4? 3622 -3*38 -114 Multiply -17 and -0.028. 0.476 What is the product of 0.7 and 7? 4.9 Product of -923 and 0. 0 -0.12 times 2 -0.24 Multiply 10 and 6. 60 Calculate -3*-0.004. 0.012 182*-0.7 -127.4 Multiply -0.136 and -18. 2.448 Product of 513 and 8. 4104 What is 8 times 296? 2368 Multiply -0.036 and 14. -0.504 What is -35 times -0.27? 9.45 Product of 5.43 and -0.2. -1.086 -0.062*61 -3.782 Product of -255 and -1. 255 Work out -10 * -1.504. 15.04 Work out 67 * -0.2. -13.4 -2349*1 -2349 What is the product of 4 and -1110? -4440 0 * -607 0 What is -0.073 times -201? 14.673 What is 23.1 times 1? 23.1 Multiply 0.5 and 18. 9 Calculate -0.92*-1. 0.92 What is 1.7 times 0.12? 0.204 -0.2 * 0.06 -0.012 8 times -56 -448 What is the product of 10 and -0.2? -2 Product of 13141 and 0.4. 5256.4 Work out -0.2 * -2855. 571 Work out -1 * -0.5. 0.5 Product of 4 and 11.4. 45.6 What is -323.5 times 0.5? -161.75 0.2 * -0.23 -0.046 Work out -5 * 0.26. -1.3 -3.83*0 0 Work out -1.47 * 1. -1.47 0.1373 times 0 0 Multiply 6 and 7. 42 -1.3 * -17 22.1 0.3 * 0.0372 0.01116 Multiply 0.036 and -13.7. -0.4932 Calculate 3*-19. -57 What is the product of -0.87 and -9? 7.83 Work out 0.7 * 195. 136.5 -0.286 * -3 0.858 Multiply -5279 and 0.2. -1055.8 Product of -558 and 0.3. -167.4 Calculate 268.9*-0.4. -107.56 -0.212*0 0 Product of 875 and 0.4. 350 Multiply 1 and -0.8. -0.8 What is the product of 0.02 and 0.58? 0.0116 -0.1*3.68 -0.368 7.97 times -0.3 -2.391 -0.54 times 0.5 -0.27 -4.8 times -2.57 12.336 What is the product of 12 and 0.56? 6.72 What is the product of -24 and -9? 216 Work out 0.3 * 70. 21 What is 0.5 times 0.065? 0.0325 Product of -0.277 and -5. 1.385 2.9 * 1 2.9 Calculate -11*0.11. -1.21 What is 3 times 18.84? 56.52 Work out -1 * 14.1. -14.1 Product of 80 and -2. -160 What is -377 times 0.1? -37.7 What is the product of 0.03792 and 0.2? 0.007584 What is the product of -0.3 and -0.012? 0.0036 0.18*124 22.32 Multiply 0 and -0.023. 0 Multiply -0.035 and 0.1. -0.0035 0.07*-0.22 -0.0154 Multiply -625 and 6.9. -4312.5 Calculate 2174*6. 13044 Product of -14.52 and -0.4. 5.808 What is the product of 4 and 1.33? 5.32 Multiply -0.18 and -3. 0.54 Calculate -3*173. -519 What is the product of -4 and -24? 96 -34 * 0.0069 -0.2346 What is 1447 times -0.2? -289.4 What is 13.56 times -1.7? -23.052 What is the product of -0.1 and 13? -1.3 -0.3 * 17 -5.1 49 * 0.4 19.6 Calculate -4*0.2348. -0.9392 What is -77 times 2? -154 What is -2831 times 2? -5662 Work out -158.9 * 0. 0 -6 times 45.3 -271.8 -38 * 33 -1254 Multiply 492 and -3. -1476 Multiply 0.1 and -4.1. -0.41 Multiply 16 and -0.26. -4.16 Product of 0.4 and -86. -34.4 What is -282 times -0.3? 84.6 What is 3402 times -0.3? -1020.6 31*-39 -1209 Multiply -0.31 and 596. -184.76 Product of -4 and -241. 964 Multiply -0.276 and 0.2. -0.0552 -236 * -0.088 20.768 Work out 7 * 0.024. 0.168 2.2 * 71 156.2 Multiply -0.05001 and -0.3. 0.015003 What is the product of 0.3 and -4.3? -1.29 0.5*246 123 What is the product of 0.1 and 202.7? 20.27 What is the product of -69 and 2? -138 Product of 0.1 and -12.7. -1.27 What is the product of 116 and -0.1? -11.6 -0.073 times 0 0 Work out -0.08 * -2. 0.16 Multiply -9.5 and 0.07. -0.665 Product of -181 and -2. 362 Multiply 158 and -0.5. -79 -333 times -0.4 133.2 Calculate 17.16*5. 85.8 Work out -433 * 0.2. -86.6 Product of 990.1 and -0.4. -396.04 Product of 728 and -0.05. -36.4 Work out 0.1 * 41. 4.1 Product of -4 and -0.064. 0.256 22551 * -0.1 -2255.1 Calculate -3*3.6. -10.8 11.3*-3 -33.9 7 times -3.8 -26.6 What is -108 times 32? -3456 Calculate 845*-0.5. -422.5 Calculate -22*-13.5. 297 Multiply -0.5 and 95. -47.5 What is the product of -3 and 38? -114 Multiply -5 and -0.86. 4.3 Multiply -41 and -32. 1312 Multiply -0.4 and 2.053. -0.8212 -5 times -7.9 39.5 What is 800 times 0.4? 320 Calculate 4160*-0.1. -416 What is the product of 6.9 and -20? -138 4.4 times 7 30.8 What is the product of 7626 and -1? -7626 Work out -9 * -18. 162 What is -0.02 times 5? -0.1 Calculate 0.1716*0.4. 0.06864 1.82 times -0.018 -0.03276 4 * 22.1 88.4 Product of 413 and -0.7. -289.1 What is 244.82 times -0.3? -73.446 Calculate -302*0.01. -3.02 67 times -4 -268 -42*157 -6594 Work out 2 * -2829. -5658 Calculate 0.2*55. 11 What is 0.3 times -246? -73.8 4*-294 -1176 272 * -13 -3536 -405*0.5 -202.5 Product of -6.6 and -1. 6.6 What is the product of 30.8 and 0.5? 15.4 -0.16*0.0249 -0.003984 0.1 times -32.1 -
{ "pile_set_name": "DM Mathematics" }
z + 7. Suppose -2*w - 6 = -w. What is the units digit of i(w)? 3 Suppose 5*j = 4*y - y + 3, 3*j - 1 = 2*y. Suppose 12 = 4*k + 2*p + 2, -y*p = -5*k + 6. Suppose k = f + 4*s, 2*s + 2 = -0*s. What is the units digit of f? 6 Let n(a) = -a**3 + 4*a - 1. What is the units digit of n(-7)? 4 Let h(n) = -n**3 - 3*n**2 + 7. Let z be h(-5). Suppose 4*b - k + 4*k - z = 0, -2*k = 5*b - 73. What is the tens digit of b? 1 Let g(f) = f**2 - 4*f + 1. Let l be g(-3). What is the units digit of l/4 + 5/10? 6 Let n = -13 + 47. Suppose -2*r = 2*a - 6*a - 6, 4*r = 2*a + 12. Suppose 2*o + v - 2*v - n = 0, r*v = -3*o + 51. What is the units digit of o? 7 Suppose 4*g = 3*g + 5. What is the units digit of g? 5 Let t = 9 + 14. What is the units digit of t? 3 What is the units digit of 1/(5/(-3) + 2)? 3 Suppose -l = -2*n + 3, l = -3*n - 4 + 21. Suppose -4*y - l = -m, y + m + 0*m = 0. What is the tens digit of 66/4 + y/2? 1 Suppose -2*u + 3*u - 19 = j, 0 = -2*u + 10. Let p = j + 4. What is the tens digit of (-3 + 1)*95/p? 1 Let y = -7 - -11. Suppose -8*v + 148 = -y*v. What is the units digit of v? 7 Let h(s) = s**2 - 6*s - 3. Let f be h(6). Let w(v) be the first derivative of v**3/3 - 9. What is the units digit of w(f)? 9 Let z = 58 - -13. Suppose -z = v - 3*v + 5*f, 5*f = 4*v - 167. What is the tens digit of v? 4 Let m be ((-1)/(-2))/(2/12). Let j(u) = -u**3 + 3*u**2 - u - 1. Let c be j(2). Let g = m - c. What is the units digit of g? 2 Let t = 6 - 2. What is the tens digit of (-1)/(t/(-264)*3)? 2 Let f(k) = -7*k - 15. Let t(u) = 4*u + 7. Let a(s) = -3*f(s) - 5*t(s). Let w be a(-8). Suppose -4 = y - w*y. What is the units digit of y? 4 Let s = -10 - -7. Let b be (2/6)/(1/s). What is the tens digit of (4*1)/(b/(-5))? 2 Suppose -w - 3*i = -3*w + 396, -5*w - 4*i + 990 = 0. What is the hundreds digit of w? 1 Let d(h) = -3*h - 10. What is the units digit of d(-4)? 2 Let r(u) = 7*u - 9. What is the units digit of r(8)? 7 Suppose 3*w = -3*c + 72, 2*c + 40 = w + 4. Suppose -25 = 5*s, 5*s + 98 - w = z. Suppose 22 + z = 4*y - 3*p, 2*p - 29 = -3*y. What is the units digit of y? 3 Let u(i) = -i**3 + i**2 + i - 11. Let x be u(0). Suppose -m = -3 - 19. Let p = m + x. What is the units digit of p? 1 Let v = -36 + 70. What is the units digit of v? 4 Suppose 6*w = 4*w + 6. Suppose 45 = 2*l + w*l. Suppose 3*j = 3*q + l, 0 = j - 3*q + 5*q - 6. What is the units digit of j? 4 Suppose -2*o = -3*r - 215, -2*o - r + 221 = 2*r. What is the hundreds digit of o? 1 Suppose 27 = 4*s + 7. Suppose 0 = s*f - 2*k - 30, f - 5*k - 24 = -3*f. What is the units digit of 3/f*-2*-8? 8 Let w(b) = 2*b - 8. What is the units digit of w(10)? 2 Suppose -37*a = -42*a + 755. What is the tens digit of a? 5 Let d(f) = f - 4. Let u be d(7). Suppose 0 = -u*c - c + 40. What is the units digit of c? 0 Let h be 8/(-12)*-1*6. Suppose -8 = -h*p + 4. Suppose 3*u = -8*j + p*j + 49, 5*u = -4*j + 86. What is the units digit of u? 8 Suppose -6*n + 5*n = 17. Let s = n - -41. What is the units digit of s? 4 Let s = -724 - -470. What is the units digit of 3/12 - s/8? 2 Let y be ((-5 + 1)*5)/(-2). Suppose 0 = r - s, -r - 2*s + y = 1. Suppose r*c - 65 = -2*c. What is the tens digit of c? 1 Let p(b) = 3*b**2 + 5 + 3*b + 3*b**2 - 4*b**2. What is the units digit of p(-4)? 5 What is the hundreds digit of (-2)/(-9) - -1*(-7527)/(-27)? 2 Let h be 6 + (1 - 4) + 4. Let f = 8 - h. What is the units digit of f? 1 Let a(d) = -3*d + 18. Let b = 6 - 16. What is the tens digit of a(b)? 4 Let s(l) = -l + 2. Let a be s(6). Let d be 3/12 + 1/(-4). What is the units digit of -2*(1 - d) - a? 2 Suppose 2*b - 27 = -3*s - 7, 0 = -2*s + 8. Suppose 0 = -b*q - 5 + 121. Suppose -3*d = -2*o - 28, 5*o - 4 = -q. What is the units digit of d? 6 Let d = -7 + 13. Suppose -8 = -4*g, -2*w = g - 2*g + d. Let v(y) = 2*y**2 + y + 2. What is the units digit of v(w)? 8 Suppose y + 2*b = 2, -4*y - 2*b + 2 = -y. Suppose y = 4*v - 2*x - 16, v - 4 = 2*x + 3. Suppose -v*i = -2*i - 9. What is the units digit of i? 9 Let r be (-2)/((-5)/((-230)/(-4))). What is the units digit of 3/3*(r - 1)? 2 Suppose 5*l - g - 8 = 15, -11 = -l - 3*g. Let f(z) = z**2 - 5*z - 3. Let y be f(l). Let s(v) = v**3 + 4*v**2. What is the units digit of s(y)? 9 Let w be 1 + -1 + -2 + 6. Let b = w + -4. What is the units digit of (2 - b - 1)*6? 6 Let s(b) = 5*b - 1. Let d be s(1). Let y be (-1 - -2)/(2/d). Suppose 30 - y = 4*j. What is the units digit of j? 7 Suppose -d - d = -104. Let q(v) = -2*v**2 + 2*v. Let m be q(3). What is the units digit of d/6 + (-4)/m? 9 Let y(o) be the second derivative of o**5/20 - 11*o**4/12 - 2*o**3 + 3*o**2 + o. Let b = 18 - 6. What is the units digit of y(b)? 6 Let n = 40 - 77. Let t = -26 - n. Suppose -2*c + j - 2*j + 17 = 0, -t = -c - j. What is the units digit of c? 6 Suppose 3*h - 17 + 5 = 0. Suppose 0 = h*s - 3*w - 23, s = -0*w - 3*w + 17. What is the units digit of s? 8 Let r(g) = 24*g**2 + 7*g + 17. What is the hundreds digit of r(-4)? 3 Let f = 67 + 16. What is the tens digit of f? 8 Let o = -4 + 14. What is the units digit of o? 0 Let l be ((-6)/8)/((-5)/500). Suppose -4*s - s = -l. What is the units digit of s? 5 Let n = -16 - -17. What is the units digit of n? 1 Let q = -7 + 9. Suppose q*o - 27 = 1. What is the units digit of o? 4 Let t = -10 - -25. What is the tens digit of t? 1 Let g(b) = 2*b**2 - 4*b + 2. Let o be g(2). Suppose -3*t = -o*t - 28. What is the tens digit of t? 2 Suppose -3*o = -7*o + 520. What is the hundreds digit of o? 1 Let y(j) be the third derivative of -j**4/12 + j**3/6 + 4*j**2. What is the tens digit of y(-5)? 1 Let c(n) = -12*n + 41. What is the hundreds digit of c(-9)? 1 Let u(w) = -7*w**2 + 3*w + 3. Let n be u(3). Let v = -28 - n. What is the units digit of v? 3 Suppose 0 = -i + 7 - 1. Let k(f) = -5*f - 2. Let u be k(i). What is the units digit of (u/(-6))/((-2)/(-3))? 8 Let o(s) = s - 1. Let x(y) = 5*y + 27. Let b(a) = -6*o(a) + x(a). What is the units digit of b(0)? 3 Suppose -4 = -4*y, 3*l = 4*y + 52 + 25. What is the units digit of l? 7 Let d(m) = m - 12. Let w be d(9). Let o be 0 + (-6)/w + 0. Suppose 4*j - 5*h = 60, -o*h = -3*j + 11 + 27. What is the tens digit of j? 1 What is the units digit of -4 + 0 - 104*(-4)/2? 4 Let o(s) = -s**2 - 8*s + 3. Let f = -7 + 1. What is the tens digit of o(f)? 1 Let z be 0 - 24*(-3)/3. Suppose 5*i - 11 = z. What is the units digit of i? 7 Suppose 23 = 5*h + 4*j, 0 = -j + 3 - 1. Suppose h*t + 3*l = 0, 0*l + 2*l + 25 = 3*t. Suppose -b = -3*z - 0 + 14, -t*b - 10 = 0. What is the units digit of z? 4 Let x(g) = -7*g**2 - 5. Let o(q) = 6*q**2 + 4. Let f(d) = 4*o(d) + 3*x(d). What is the units digit of f(-1)? 4 Let j be (-2)/(-4)*(-3 + 9). Suppose -j*o + o + 22 = 0. Let y = o - 8. What is the units digit of y? 3 What is the units digit of -2 + (-2 - -33) + 2? 1 Let i(m) = -7*m**2 - 3*m**3 - 7 - 9*m + 2*m**3 + 20. Let u(k) = k - 1. Let t(h) = -i(h) - 5*u(h). What is the units digit of t(-6)? 4 Suppose 25 - 5 = 4*z. Suppose z*y + 0 = 10. Suppose 0*q = -y*q + 6. What is the units digit of q? 3 Suppose 2*x = 52 + 26. Let q be 4/10*(-3 + -62). Let d = x + q. What is the tens digit of d? 1 Let a(j) = 4*j**2 + 13*j - 3. What is the tens digit of a(-8)? 4 Suppose 20 = -6*l + 230. Let h = l - 17. What is the units digit of h? 8 Let u = -32 - -69. What is the units digit of u? 7 Let d be (5/2)/((-2)/4). Let i be (2 + 12/d)*-5. Suppose y + i*a = a + 6, a = -4. What is the tens digit of y? 1 Let y = 12 - 9. Suppose -y*h - 5*t + 40 = 0, 2*h - 3*t = 6*h - 46. What is the tens digit of h? 1 Let h(a) = 2*a**2 + 2*a + 4. Let b be (-48)/18 - (-2)/(-6). What is the units digit of h(b)? 6 Suppose 46 = n - 0*n. Let p = -21 + n. What is the units digit of p? 5 Suppose -6*h + 2*b = -3*h - 110, -175 = -5*h + 5*b. What is the tens digit of h? 4 Suppose -4*d - 5*v = -51 - 331, 2*d - 5*v = 206. What is the tens digit of d? 9 Suppose 4*s - a = 8, -5*s + 3*a = -2*a + 5. Suppose 0 = s*h + 68 - 215. What is the units digit of h? 9 Suppose -3*p + 3 = k, 0 = -4*p + 4*k + 9 + 11. Let m = p + 25. What is the tens digit of m? 2 Suppose -7*m + 1242 + 557 = 0. What is the tens digit of m? 5 Suppose -2*t = 8, 3*i + t = -4*t - 38. Let n = i - -14. What is the units digit of n? 8 Let p be (-21)/28 + 15/4. Suppose -60 = -2*m + 4*d, 4*d +
{ "pile_set_name": "DM Mathematics" }
s are there between 10:39 AM and 6:47 PM? 488 How many minutes are there between 8:10 PM and 5:58 AM? 588 How many minutes are there between 7:00 AM and 2:24 PM? 444 What is 480 minutes after 4:19 AM? 12:19 PM How many minutes are there between 5:08 PM and 9:47 PM? 279 How many minutes are there between 12:03 AM and 5:18 AM? 315 What is 42 minutes before 9:04 AM? 8:22 AM What is 360 minutes before 11:44 AM? 5:44 AM What is 195 minutes after 12:13 AM? 3:28 AM What is 331 minutes before 5:15 PM? 11:44 AM What is 253 minutes after 5:13 AM? 9:26 AM How many minutes are there between 1:55 PM and 9:31 PM? 456 What is 305 minutes before 3:31 AM? 10:26 PM What is 689 minutes before 10:11 PM? 10:42 AM What is 472 minutes before 2:10 AM? 6:18 PM How many minutes are there between 7:53 PM and 9:43 PM? 110 How many minutes are there between 10:32 AM and 1:19 PM? 167 How many minutes are there between 6:22 PM and 10:26 PM? 244 What is 612 minutes after 8:45 AM? 6:57 PM How many minutes are there between 5:56 AM and 11:01 AM? 305 What is 337 minutes after 8:38 PM? 2:15 AM What is 128 minutes before 9:03 PM? 6:55 PM How many minutes are there between 1:13 AM and 12:05 PM? 652 How many minutes are there between 5:44 PM and 5:48 PM? 4 What is 211 minutes after 4:22 AM? 7:53 AM What is 244 minutes after 5:12 PM? 9:16 PM What is 525 minutes after 2:51 PM? 11:36 PM How many minutes are there between 11:40 AM and 7:06 PM? 446 What is 634 minutes after 8:06 AM? 6:40 PM What is 592 minutes before 12:37 PM? 2:45 AM What is 223 minutes before 1:23 AM? 9:40 PM How many minutes are there between 8:44 PM and 10:13 PM? 89 How many minutes are there between 2:32 AM and 4:09 AM? 97 How many minutes are there between 8:35 PM and 1:38 AM? 303 How many minutes are there between 4:25 AM and 8:35 AM? 250 What is 149 minutes after 10:54 PM? 1:23 AM What is 144 minutes before 4:28 PM? 2:04 PM How many minutes are there between 8:49 PM and 8:31 AM? 702 How many minutes are there between 11:53 PM and 2:59 AM? 186 How many minutes are there between 1:46 PM and 3:54 PM? 128 What is 526 minutes before 4:47 PM? 8:01 AM How many minutes are there between 11:27 AM and 5:09 PM? 342 How many minutes are there between 2:38 AM and 12:08 PM? 570 What is 687 minutes after 2:34 PM? 2:01 AM How many minutes are there between 12:03 AM and 2:13 AM? 130 What is 557 minutes after 6:45 PM? 4:02 AM How many minutes are there between 4:56 PM and 9:00 PM? 244 What is 251 minutes after 2:42 PM? 6:53 PM How many minutes are there between 9:39 PM and 9:27 AM? 708 How many minutes are there between 8:55 PM and 8:39 AM? 704 What is 305 minutes after 10:16 AM? 3:21 PM What is 678 minutes before 9:46 PM? 10:28 AM What is 165 minutes after 10:40 PM? 1:25 AM What is 538 minutes after 8:16 PM? 5:14 AM How many minutes are there between 10:36 AM and 5:20 PM? 404 How many minutes are there between 6:08 PM and 5:33 AM? 685 What is 480 minutes after 4:21 PM? 12:21 AM What is 33 minutes after 2:36 PM? 3:09 PM What is 416 minutes after 5:32 AM? 12:28 PM What is 508 minutes before 3:30 AM? 7:02 PM How many minutes are there between 2:28 PM and 10:16 PM? 468 How many minutes are there between 2:33 PM and 11:52 PM? 559 How many minutes are there between 9:37 PM and 8:58 AM? 681 What is 605 minutes before 5:22 PM? 7:17 AM How many minutes are there between 10:54 AM and 4:19 PM? 325 What is 652 minutes before 7:10 PM? 8:18 AM What is 491 minutes after 7:10 AM? 3:21 PM How many minutes are there between 9:29 AM and 8:32 PM? 663 What is 289 minutes before 9:54 AM? 5:05 AM How many minutes are there between 5:28 PM and 4:47 AM? 679 What is 624 minutes after 7:35 PM? 5:59 AM What is 6 minutes before 11:53 PM? 11:47 PM What is 82 minutes before 10:36 AM? 9:14 AM What is 195 minutes after 9:12 PM? 12:27 AM How many minutes are there between 5:54 PM and 12:36 AM? 402 What is 558 minutes after 1:38 PM? 10:56 PM What is 467 minutes after 8:33 PM? 4:20 AM How many minutes are there between 5:24 PM and 10:47 PM? 323 How many minutes are there between 3:16 AM and 5:49 AM? 153 How many minutes are there between 6:52 PM and 12:34 AM? 342 How many minutes are there between 4:10 AM and 3:59 PM? 709 How many minutes are there between 3:28 PM and 4:07 PM? 39 What is 472 minutes after 12:18 AM? 8:10 AM How many minutes are there between 8:37 PM and 4:31 AM? 474 How many minutes are there between 11:15 AM and 7:55 PM? 520 What is 520 minutes after 1:15 PM? 9:55 PM How many minutes are there between 6:35 PM and 2:17 AM? 462 What is 532 minutes after 2:48 PM? 11:40 PM How many minutes are there between 8:12 AM and 3:22 PM? 430 How many minutes are there between 6:13 AM and 4:57 PM? 644 How many minutes are there between 9:04 AM and 1:30 PM? 266 How many minutes are there between 4:10 AM and 10:24 AM? 374 How many minutes are there between 6:39 PM and 9:14 PM? 155 What is 341 minutes before 12:01 AM? 6:20 PM How many minutes are there between 7:49 PM and 1:21 AM? 332 How many minutes are there between 9:03 AM and 4:28 PM? 445 How many minutes are there between 1:44 PM and 10:42 PM? 538 How many minutes are there between 9:22 AM and 6:50 PM? 568 How many minutes are there between 12:39 AM and 6:23 AM? 344 What is 69 minutes after 7:31 PM? 8:40 PM How many minutes are there between 7:52 PM and 5:43 AM? 591 What is 679 minutes after 5:03 PM? 4:22 AM How many minutes are there between 1:18 PM and 4:11 PM? 173 What is 526 minutes after 11:37 AM? 8:23 PM How many minutes are there between 8:25 AM and 4:38 PM? 493 How many minutes are there between 3:16 AM and 4:19 AM? 63 How many minutes are there between 1:06 AM and 4:21 AM? 195 How many minutes are there between 7:40 PM and 9:37 PM? 117 How many minutes are there between 1:47 AM and 5:43 AM? 236 How many minutes are there between 2:54 PM and 2:22 AM? 688 How many minutes are there between 4:00 PM and 2:11 AM? 611 What is 120 minutes before 9:48 PM? 7:48 PM How many minutes are there between 4:28 AM and 1:40 PM? 552 What is 344 minutes after 6:23 PM? 12:07 AM What is 652 minutes before 12:36 PM? 1:44 AM How many minutes are there between 6:37 PM and 1:21 AM? 404 What is 691 minutes after 7:36 PM? 7:07 AM How many minutes are there between 1:58 PM and 10:14 PM? 496 What is 597 minutes before 6:08 PM? 8:11 AM What is 27 minutes after 8:15 PM? 8:42 PM What is 373 minutes before 6:07 AM? 11:54 PM How many minutes are there between 7:44 AM and 6:08 PM? 624 How many minutes are there between 12:19 AM and 9:57 AM? 578 How many minutes are there between 2:40 PM and 7:42 PM? 302 What is 669 minutes before 5:50 AM? 6:41 PM What is 98 minutes after 7:23 AM? 9:01 AM How many minutes are there between 8:54 AM and 2:14 PM? 320 How many minutes are there between 7:27 PM and 3:03 AM? 456 How many minutes are there between 6:07 AM and 6:26 AM? 19 How many minutes are there between 1:06 AM and 5:18 AM? 252 How many minutes are there between 10:46 AM and 10:13 PM? 687 What is 41 minutes before 8:58 AM? 8:17 AM How many minutes are there between 12:04 AM and 4:47 AM? 283 How many minutes are there between 7:28 PM and 12:17 AM? 289 What is 360 minutes before 2:15 AM? 8:15 PM How many minutes are there between 5:38 PM and 10:47 PM? 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{ "pile_set_name": "DM Mathematics" }
prob of sequence ioff. 3/2860 Three letters picked without replacement from huhuuuuuuuuhuhuhuhu. Give prob of sequence hhu. 65/969 Two letters picked without replacement from {s: 10, j: 1, y: 1, b: 2, n: 6}. What is prob of sequence nj? 3/190 Calculate prob of sequence fu when two letters picked without replacement from unnlunnnufunfnuunun. 7/171 What is prob of sequence vc when two letters picked without replacement from {w: 3, v: 1, d: 1, c: 4, k: 6}? 2/105 Three letters picked without replacement from ttf. Give prob of sequence ttf. 1/3 What is prob of sequence hj when two letters picked without replacement from {t: 1, j: 1, h: 1, v: 2, x: 1, d: 1}? 1/42 Three letters picked without replacement from liomlhimmi. Give prob of sequence iih. 1/120 Two letters picked without replacement from rjsaqtrqs. Give prob of sequence aj. 1/72 Four letters picked without replacement from {d: 10, s: 2, f: 3}. What is prob of sequence sddf? 3/182 Four letters picked without replacement from {e: 13, l: 5}. What is prob of sequence eell? 13/306 Two letters picked without replacement from {n: 3, m: 4}. What is prob of sequence nn? 1/7 Two letters picked without replacement from {d: 2, x: 1}. What is prob of sequence dd? 1/3 What is prob of sequence aan when three letters picked without replacement from anarrvrnrnj? 1/165 Two letters picked without replacement from {v: 1, b: 2, c: 1, g: 7, u: 7}. What is prob of sequence bv? 1/153 Three letters picked without replacement from zmkmzkkbvkm. What is prob of sequence kkv? 2/165 Two letters picked without replacement from {s: 1, m: 1, v: 1, y: 1, x: 1}. What is prob of sequence ym? 1/20 Two letters picked without replacement from {e: 1, t: 2, f: 2}. What is prob of sequence fe? 1/10 Two letters picked without replacement from {b: 7, c: 12}. Give prob of sequence bc. 14/57 Four letters picked without replacement from {p: 3, t: 1, y: 4, c: 4, u: 2, f: 6}. Give prob of sequence yupp. 2/4845 Calculate prob of sequence qq when two letters picked without replacement from {h: 1, q: 2}. 1/3 Two letters picked without replacement from {v: 2, n: 1, t: 2, s: 4}. What is prob of sequence vv? 1/36 What is prob of sequence kt when two letters picked without replacement from {t: 1, k: 1, l: 3}? 1/20 What is prob of sequence qpq when three letters picked without replacement from vppppppppvppqqqppp? 13/816 What is prob of sequence ddee when four letters picked without replacement from {d: 5, e: 5}? 5/63 What is prob of sequence tety when four letters picked without replacement from {y: 1, e: 1, t: 2, x: 2}? 1/180 Two letters picked without replacement from {b: 2, o: 2, f: 1, t: 2, c: 1, q: 10}. What is prob of sequence qo? 10/153 Calculate prob of sequence aa when two letters picked without replacement from {a: 2, q: 1}. 1/3 Two letters picked without replacement from {f: 2, u: 4, p: 2}. What is prob of sequence ff? 1/28 Calculate prob of sequence qvq when three letters picked without replacement from vqvvqqvvvvvv. 9/220 Three letters picked without replacement from ppfftoptffpfppt. What is prob of sequence fft? 2/91 Calculate prob of sequence yzy when three letters picked without replacement from {y: 8, z: 6, m: 1, q: 3, j: 1}. 56/969 What is prob of sequence hyh when three letters picked without replacement from hhhy? 1/4 What is prob of sequence mmm when three letters picked without replacement from {f: 3, m: 12}? 44/91 Three letters picked without replacement from {u: 4, r: 2}. Give prob of sequence urr. 1/15 Calculate prob of sequence vqm when three letters picked without replacement from {u: 2, m: 1, q: 1, r: 2, v: 2}. 1/168 Two letters picked without replacement from xiallxxlllx. What is prob of sequence la? 1/22 Three letters picked without replacement from iiiqiqiiiiqiii. What is prob of sequence qii? 55/364 Three letters picked without replacement from {y: 11, j: 2, b: 1, t: 2}. Give prob of sequence jjy. 11/1680 Four letters picked without replacement from xhxf. What is prob of sequence xxfh? 1/12 Four letters picked without replacement from {v: 1, l: 1, e: 6, m: 2, s: 2, r: 3}. What is prob of sequence mves? 1/1365 Calculate prob of sequence ix when two letters picked without replacement from avvxvtibttviax. 2/91 Two letters picked without replacement from krqrkqqvrqkrkkx. What is prob of sequence rv? 2/105 Three letters picked without replacement from {j: 1, d: 1, g: 2, y: 3}. Give prob of sequence ygg. 1/35 Calculate prob of sequence nfd when three letters picked without replacement from {p: 7, d: 7, f: 3, n: 1, b: 1}. 7/1938 What is prob of sequence zd when two letters picked without replacement from {z: 9, d: 10}? 5/19 Four letters picked without replacement from vbbbvavavaavabv. Give prob of sequence bvbb. 2/455 Calculate prob of sequence atgg when four letters picked without replacement from tatatgttttg. 7/1980 Calculate prob of sequence rkg when three letters picked without replacement from gdwmmrk. 1/210 Three letters picked without replacement from {p: 3, k: 1, i: 2, o: 3, j: 9}. What is prob of sequence poo? 1/272 Three letters picked without replacement from vgiviiviivvgvviivi. Give prob of sequence vii. 14/153 Two letters picked without replacement from ooooooooo. What is prob of sequence oo? 1 Two letters picked without replacement from {h: 1, m: 1, a: 1, u: 5, p: 2}. What is prob of sequence hm? 1/90 Calculate prob of sequence jjk when three letters picked without replacement from jgjvjjkgvjj. 1/33 Three letters picked without replacement from zehxfhs. Give prob of sequence esx. 1/210 Three letters picked without replacement from djdjjjjjsjjdd. What is prob of sequence jjs? 14/429 Two letters picked without replacement from khhxgkgsghkgkgg. What is prob of sequence hg? 3/35 Calculate prob of sequence hfhf when four letters picked without replacement from {h: 9, f: 11}. 22/323 Four letters picked without replacement from gyguuuggouuugu. What is prob of sequence uggu? 5/143 Two letters picked without replacement from ttttmmtkkmmkkt. What is prob of sequence kk? 6/91 Two letters picked without replacement from {z: 2, y: 1, t: 6, j: 6, v: 2, q: 1}. What is prob of sequence zz? 1/153 Three letters picked without replacement from bcct. What is prob of sequence tcb? 1/12 Calculate prob of sequence qqqq when four letters picked without replacement from qqssqsqssqsq. 1/33 Calculate prob of sequence krr when three letters picked without replacement from rkraohkab. 1/126 Calculate prob of sequence qpq when three letters picked without replacement from {p: 2, j: 1, q: 4}. 4/35 Four letters picked without replacement from {s: 12, l: 4, k: 3, y: 1}. What is prob of sequence lllk? 1/1615 Four letters picked without replacement from {e: 3, i: 4, u: 1, t: 6}. What is prob of sequence ieit? 9/1001 Two letters picked without replacement from wbnowbwcbnn. What is prob of sequence bc? 3/110 Three letters picked without replacement from {r: 3, z: 6, x: 1, e: 2, d: 2, v: 4}. Give prob of sequence xdz. 1/408 Four letters picked without replacement from {d: 3, o: 2, p: 10, r: 3}. Give prob of sequence ddoo. 1/6120 Four letters picked without replacement from {f: 1, k: 2, a: 4, z: 3}. What is prob of sequence kafk? 1/630 Calculate prob of sequence ggg when three letters picked without replacement from {g: 7}. 1 Two letters picked without replacement from {y: 13, s: 3}. Give prob of sequence yy. 13/20 Calculate prob of sequence wrp when three letters picked without replacement from {w: 3, e: 3, p: 1, s: 2, n: 1, r: 2}. 1/220 Four letters picked without replacement from jjjjmeeemjojmj. What is prob of sequence meme? 3/2002 Calculate prob of sequence oo when two letters picked without replacement from auzazopoaoooop. 15/91 Two letters picked without replacement from ekk. Give prob of sequence ke. 1/3 What is prob of sequence ziu when three letters picked without replacement from {i: 2, r: 2, d: 2, u: 5, z: 2, p: 1}? 5/546 What is prob of sequence uu when two letters picked without replacement from pppuuppuppp? 3/55 Calculate prob of sequence uyxf when four letters picked without replacement from {x: 6, m: 2, y: 1, f: 1, u: 2, l: 3}. 1/2730 Four letters picked without replacement from kkttbhk. Give prob of sequence bkth. 1/140 Four
{ "pile_set_name": "DM Mathematics" }
44*b**2 - 10398*b + 3482 Let p(f) = 5*f. Let d(g) = 30*g. Suppose 3*k - 12 = -0*k. Let o(y) = 9*y - 1. Let h be o(k). Let c(m) = h*p(m) - 6*d(m). Let n(u) = 3*u**2. Determine c(n(t)). -15*t**2 Let g(i) = -14*i. Let w(v) be the second derivative of 3*v**3/2 - 9*v + 1. Give w(g(c)). -126*c Let m(f) = -55*f**2. Let d(u) = -13*u + 7. Let w(a) = a. Let k(i) = d(i) + 2*w(i). Let j(q) = 6*q - 4. Let b(c) = -7*j(c) - 4*k(c). Determine b(m(l)). -110*l**2 Let t(d) = 9 - 9 - d**2 + 2*d**2. Let p(m) = 36*m**2 - 2 - 26*m**2 + 2. Determine p(t(a)). 10*a**4 Let n(x) = -9*x**2. Let o(u) = -3*u**2 - u + 1. Let v(i) = -11*i**2 - 6*i + 10. Let f(a) = -6*o(a) + v(a). What is n(f(c))? -441*c**4 - 504*c**2 - 144 Let b(w) = -43*w**2. Let y(h) = 40*h**2 + 49. Determine y(b(m)). 73960*m**4 + 49 Let b(n) = 2*n. Let o(x) be the second derivative of -73*x**3/2 - 3*x + 3. What is o(b(v))? -438*v Let j(o) = o + 5326. Let l(d) = d**2. Give l(j(i)). i**2 + 10652*i + 28366276 Let b(i) = 10*i**2 + 6*i - 8. Let d(r) = 12*r. What is d(b(w))? 120*w**2 + 72*w - 96 Let h(o) = 2. Let c(v) = 11*v + 20. Let l be c(-2). Let u(k) = 2*k - 22. Let w(s) = l*u(s) - 22*h(s). Let r(m) = 4*m. Calculate w(r(t)). -16*t Let b(h) = 2*h**2. Let j(t) = -820 - 13*t + 14*t + 760. Determine j(b(y)). 2*y**2 - 60 Let b(k) = -3*k - 145. Let d(v) = 932*v. Calculate b(d(l)). -2796*l - 145 Let m(f) = 51861*f**2. Let w(p) = -82*p. What is m(w(h))? 348713364*h**2 Let b(f) be the second derivative of f**4/6 - f. Let o = 29 - 51. Let c(n) = -7*n**2 - 3*n. Let h(r) = 27*r**2 + 11*r. Let z(v) = o*c(v) - 6*h(v). Give z(b(s)). -32*s**4 Let h = 1054 - 700. Let x(b) = -354*b + b**2 + h*b. Let i(q) = 3*q**2. Calculate i(x(c)). 3*c**4 Let l(d) be the first derivative of 9*d**2/2 + 13. Let r(m) = m - 5. Let v(p) = p - 6. Let g(j) = 6*r(j) - 5*v(j). Give g(l(z)). 9*z Let v(h) = 2*h**2. Suppose -t - 8 = -5*t. Let k(c) = -2*c**t - 4 + 4 + 0*c**2. Determine k(v(w)). -8*w**4 Let w(i) be the third derivative of -3*i**5/5 - 432*i**2. Let x(k) = 16*k. Give x(w(s)). -576*s**2 Let x(u) = -u**2 - 24*u. Let i(k) = 4*k**2 + 104*k. Let m(s) = -6*i(s) - 26*x(s). Let v(p) = -83*p. Calculate m(v(y)). 13778*y**2 Let r(s) = -10*s. Let m(j) = -j + 156. Calculate r(m(x)). 10*x - 1560 Let y(o) = 8947*o. Let r(m) = 48*m**2 - m. Calculate y(r(b)). 429456*b**2 - 8947*b Let q(l) = 3*l - 2*l - 4*l. Let o(z) = 5*z**2 - 6. Let h(n) = -2. Let c(p) = 3*h(p) - o(p). Calculate c(q(f)). -45*f**2 Let h(n) = 3*n - 1. Let v(c) = 2*c**2 - 30*c + 10. Let x(g) = 40*h(g) + 4*v(g). Let w(i) = 4*i**2. What is x(w(b))? 128*b**4 Let n(f) = -3*f**2 - 21*f - 10. Let v be n(-6). Let k(u) be the third derivative of 0 + 0*u**3 - 1/24*u**4 + 0*u + v*u**2. Let o(b) = 2*b**2. Calculate o(k(q)). 2*q**2 Let z(w) be the third derivative of 5*w**4/24 - 2*w**2. Let b(a) = -60*a**2 - 68*a**2 + 130*a**2. Give z(b(i)). 10*i**2 Let r(v) = -v. Let k(f) = 4*f**2 + f + 1. Let i(n) = 22*n**2 + 6*n + 13. Let w(d) = -i(d) + 6*k(d). Determine w(r(q)). 2*q**2 - 7 Let t(y) = y. Let h(i) = 27461*i. Give h(t(c)). 27461*c Let a(p) be the second derivative of -p**4/6 - 239*p. Let z(v) = 4*v + 84. Determine a(z(l)). -32*l**2 - 1344*l - 14112 Let a(o) = -116*o**2. Let h(n) be the third derivative of n**4/6 - 88*n**2. Give a(h(y)). -1856*y**2 Let u(y) = 3*y + 23. Let a(g) = g**2 + 1308*g. Give a(u(w)). 9*w**2 + 4062*w + 30613 Suppose 2*n - m - 3 = 0, 3*m = 4*n + 6*m - 11. Suppose 0*g + 2*b = -n*g + 4, 0 = 4*b + 12. Let o(k) = 0*k - g*k - 2*k. Let q(j) = -j**2. What is q(o(r))? -49*r**2 Let u(i) = -2*i**2. Suppose -2*n = 3 + 25. Let a = n + 16. Let v(j) = 16*j**a - 43*j + 43*j. Give u(v(k)). -512*k**4 Let l(x) = -299*x**2. Let r(k) = 2*k**2 + 79*k. Calculate r(l(n)). 178802*n**4 - 23621*n**2 Let d(s) = -s**2 + s + 4. Let p(m) = -6*m**2 + 3*m + 12. Let k(b) = -3*d(b) + p(b). Let w(g) = 2*g + 15. Give w(k(t)). -6*t**2 + 15 Let j(s) = 25*s. Let b(i) = -3*i - 4. Let y(n) = -n - 2. Let l(u) = -2*b(u) + 4*y(u). Calculate l(j(f)). 50*f Let p(q) be the third derivative of -q**6/180 + 35*q**3/6 - 16*q**2. Let n(h) be the first derivative of p(h). Let l(g) = -10*g. Determine l(n(a)). 20*a**2 Let s(b) = b. Let d(u) = 5*u. Let z(v) = -d(v) + 2*s(v). Let w(p) = 12051 - 12*p - 12051. Determine w(z(k)). 36*k Let m(g) = 2*g + 224. Let u(r) = -157*r**2. Determine m(u(d)). -314*d**2 + 224 Let g(d) = -1. Let s(q) = q - 3. Let b(f) = 4*g(f) - s(f). Let a(j) = 6 - 14 + 7*j + 13. Let p(r) = -3*a(r) - 15*b(r). Let l(h) = -h**2. Calculate l(p(x)). -36*x**2 Suppose 0 = k + 10*k - 77. Let q(a) = -a**2 - 6*a - 6. Let d(w) = w**2 + 7*w + 7. Let o(r) = k*q(r) + 6*d(r). Let u(z) = 17*z**2. What is o(u(j))? -289*j**4 Let i(l) = -60500*l**2 - 18*l. Let h(t) = -3*t**2. What is i(h(s))? -544500*s**4 + 54*s**2 Let n(y) = -4*y**2. Let t(h) be the third derivative of 3*h**5/20 + h**2 + 19. Calculate t(n(l)). 144*l**4 Let b(n) = 5*n**2. Let d(j) = 604490*j**2. What is d(b(a))? 15112250*a**4 Let f(b) = 9*b**2. Let l(a) be the first derivative of -5*a**2 - 77. What is f(l(p))? 900*p**2 Let i(l) = -21*l**2 + 3 - 3. Let d(k) be the first derivative of -k**4/12 + 28*k + 5. Let t(n) be the first derivative of d(n). Give t(i(g)). -441*g**4 Let t(n) = -2*n. Let u(j) be the first derivative of -201*j**2/2 + 78. What is u(t(v))? 402*v Let f(p) = 30*p**2. Let n = -90 - -82. Let x(i) = -5*i**2 - 3. Let g(b) = 14*b**2 + 8. Let c(t) = n*x(t) - 3*g(t). What is c(f(w))? -1800*w**4 Let q(y) = 49*y + 2. Let d(o) = 83*o**2. Determine q(d(j)). 4067*j**2 + 2 Let a(m) = m**3 - 11*m**2 + 10*m + 3. Let l be a(10). Let u(k) = -8*k - 5*k + l*k. Let s(t) = 3 - 3 + t**2. Give s(u(x)). 100*x**2 Let p(v) = 2*v. Let r(b) be the third derivative of 0*b**4 + 3/10*b**5 - 7*b**2 + 0*b**3 + 0 + 0*b. Give p(r(u)). 36*u**2 Let b(r) be the third derivative of r**5/30 - 18*r**2 + 27. Let v(n) be the second derivative of -n**3/6 + 2*n. What is v(b(l))? -2*l**2 Let v(n) = 12*n + 7*n + 5*n + 34*n. Let x(s) = 2*s. What is x(v(p))? 116*p Let d(h) = -h. Let k be -4 + 90/25 + 2/5. Let s(y) = 18*y + k + 0 + 8*y. Give d(s(q)). -26*q Let r(u) = -3*u. Let x(z) be the third derivative of -5*z**4/24 + 12*z**2. Let q(g) = -g. Let a(o) = -3*q(o) + x(o). Calculate r(a(d)). 6*d Let y(s) be the third derivative of s**6/180 + 5*s**3/3 - 6*s**2. Let p(h) be the first derivative of y(h). Let j(t) = -7*t**2. Determine p(j(q)). 98*q**4 Let u(n) = 22*n + 912. Let g(p) = -12*p - 2. Give u(g(o)). -264*o + 868 Let x(s) = -11*s**2. Let w(m) = -m**3 + 3*m**2 + 5*m - 2. Let g be w(4). Let a(c) = 0*c**2 + 4*c**g - 8*c**2 + 2*c**2. Determine x(a(b)). -44*b**4 Let p(f) = -128*f**2 + 2*f. Let q(n) be the first derivative of n**2 - 155. Determine p(q(r)). -512*r**2 + 4*r Let v(t) = 382*t + 3. Let c(x) = x**2 + 6*x - 6. Let y(a) = -4*a**2 - 26*a + 26. Let s(i) = -13*c(i) - 3*y(i). Determine s(v(k)). -145924*k**2 - 2292*k - 9 Let v(a) = -1317673*a**2. Let p(s) = s. Give v(p(r)). -1317673*r**2 Let r(j) = -7*j. Let h = -747 + 44821/60. Let m(s) be the third derivative of 2*s**2 + 0 + 0*s**3 + 0*s + h*s**5 + 0*s**4. What is m(r(w))? 49*w**2 Let m(l) be the first derivative of 2*l**3/3 + 252*l - 361. Let g(w) = w**2. What is m(g(u))? 2*u**4 + 252 Let q(r) = r**2. Let o(x) be the second derivative of -x**4/2 - x**2/2 - x + 2. Determine q(o(n)). 36*n**4 + 12*n**2 + 1 Let d(h) = h**2 - 190 + 190. Let x(o) = -o**2 + 6*o - 6. Let v be x(4). Let p(s) = -s**v + s**2 - s**2. Determine p(d(j)). -j**4 Let x(f) = -3*f + 16*f + 16*f. Let w(c) = -c - 6. Let p(q) = -2. Let h(s) = 3*p(s) - w(s). Calculate h(x(o)). 29*o Let t(b) = 4*b. Let g = -224 - -226. Let a(d) be the second derivative of 0*d**g - 1/6*d**3 + 0 + 2*d. Determine t(a(p)). -4*p Let g(o) = 6 - 6 + 2*o. Let l(w) = 26*w**2 + 11*w + 11. Suppose 6*x - 3*x - 33 = 0. Let u(r) = 9*r**2 + 4*r + 4. Let a(j) = x*u(j) - 4*l(j). Give a(g(d)). -20*d**2 Let m(f) = 40*f - 2. Let g(v) be the second derivative of -23*v + 1/12*v**4 + 0 + 0*v**2 + 0*v**3. What is m(g(c))? 40*c**2 - 2 Let b(j) = j + 2. Let i(k) = -9*k - 12. Let z(s) = -6*b(s) - i(s). Let u(h) = -285*h**2. Give u(z(l)). -2565*l**2 Let v(m) = 16*m**2 - 5*m. Let h(q) = 40*q**2 - 12*q. Let p(b) = -5*h(b) + 12*v(b). Let d(i) = -1 - 50*i + 49*i + 1. Give p(d(z)). -8*z**2 Let l(s) = 14*s. Let u(k) = 9*k. Let x(d) = 5*l(
{ "pile_set_name": "DM Mathematics" }
3/6 + 5*g**2 - 29*g. Let y(m) = -6*m. Give n(y(w)). -252*w**2 - 1 Let s(g) = 25814*g. Let r(z) = -61*z**2. Give s(r(b)). -1574654*b**2 Let i(x) = 94*x. Let j(v) = 27*v + 6. Let n(s) = -285*s - 63. Let f(b) = 42*j(b) + 4*n(b). Determine f(i(a)). -564*a Let n(c) = -201521*c. Let f(p) = -7*p**2. Determine f(n(x)). -284274994087*x**2 Let u(q) = -16721282*q**2. Let o(x) = -x**2. Calculate o(u(p)). -279601271723524*p**4 Let o(t) = 506628*t. Let h(f) = 21*f**2. Determine o(h(z)). 10639188*z**2 Let v(n) = -122 + 241 - 59*n - 119. Let i(d) be the first derivative of d**3/3 - 13. What is i(v(z))? 3481*z**2 Let l(h) = 173416 - 173416 + 11*h**2. Let p(c) = 122*c**2. Determine p(l(v)). 14762*v**4 Let f(s) = 2*s**2. Let d be 2/(0 - 4/6). Let x(w) = 88*w. Let p(g) = -3*g. Let z(c) = d*p(c) - x(c). Determine f(z(v)). 12482*v**2 Let n(t) = 19*t**2 - 5*t. Let v(a) = 48*a**2 - 12*a. Suppose 0 = 9*j - 110 + 2. Let y(m) = j*n(m) - 5*v(m). Let b(c) = 12*c. What is y(b(q))? -1728*q**2 Let y(d) = 2*d. Suppose k = -3*i + 3, 5*i + 5*k = 7*i - 19. Let w(z) = 0*z + i*z**2 + 6*z - 6*z. Calculate y(w(q)). 4*q**2 Let z(v) = -90*v**2. Let m(u) = -u + 179351. Calculate m(z(q)). 90*q**2 + 179351 Let m(k) = -210610895*k. Let h(w) = 2*w. Determine m(h(r)). -421221790*r Let x(y) = y**2 + 1. Let r(c) = -8*c**2 - 7. Let g(l) = 3*r(l) + 21*x(l). Let u be ((-9)/6)/((-3)/20). Let z(p) = -10*p - 3*p**2 + u*p. Give g(z(w)). -27*w**4 Let o(t) = 2700514*t**2. Let i(p) = 11*p**2. Determine o(i(c)). 326762194*c**4 Let i(r) be the second derivative of 2057*r**2 - 173*r + r**4 - 2057*r**2. Let n(f) be the second derivative of f**4/4 + f. What is n(i(v))? 432*v**4 Let q(a) = -21*a - 20*a - 5*a - 11*a + 54*a. Let y(i) be the first derivative of i**2 + 7*i - 1. What is q(y(z))? -6*z - 21 Let m(o) = -199*o + 3. Let f(x) = -8*x**2 - 10*x. Let p(b) = -6*b**2 - 8*b. Let k(i) = 4*f(i) - 5*p(i). What is k(m(j))? -79202*j**2 + 2388*j - 18 Let m(t) = -9*t. Let x(l) = -6823*l + 263. Determine m(x(d)). 61407*d - 2367 Let m(n) be the first derivative of -253*n**2 - 9298. Let v(j) = -4*j. What is v(m(c))? 2024*c Let v(i) = -4816669*i. Let r(q) = 16*q**2. Calculate v(r(o)). -77066704*o**2 Let k(l) = -l**2 - 51*l. Let c(j) = -2*j**2 - 119*j. Let p(v) = 3*c(v) - 7*k(v). Let i(n) = -60*n**2 - 42*n**2 + 33*n**2. Determine p(i(g)). 4761*g**4 Let b(v) = -370*v + 94*v - 115 - v**2 + 276*v. Let w(a) = 2*a. What is b(w(m))? -4*m**2 - 115 Let d(c) = 48*c**3 + 2*c**2 - c - 1. Let h be d(1). Let j(g) = 15 + 33 - h - 24*g**2. Let y(n) = -5*n**2. Determine j(y(p)). -600*p**4 Let h(f) = -5*f. Suppose 4*c - 60 = -4*z + 4, -4*c = 16. Let i(t) = 30*t + z*t - 41*t. Calculate i(h(n)). -45*n Let c(w) be the second derivative of w**6/90 + 5*w**3/6 - 26*w. Let q(a) be the second derivative of c(a). Let v(d) = 12*d**2. Determine q(v(i)). 576*i**4 Let k(h) = -44*h**2 - 50*h**2 + 405 - 405 + 95*h**2. Let t(u) be the second derivative of 5*u**4/4 - u. Calculate k(t(q)). 225*q**4 Let j(b) be the first derivative of 3*b**2/2 - 2. Let r(x) be the second derivative of x**4 + 2*x - 174. Give j(r(t)). 36*t**2 Let w(i) = 4*i**2. Suppose 0 = -2*v + 6*v - 24. Suppose v = 2*u - 0*u, 4*o + 2*u = 18. Let y(f) = 1451 + o*f - 1451. Determine y(w(n)). 12*n**2 Let y(h) = 1820*h. Let s(v) = 10*v + 6*v - 7*v - 7*v. Calculate y(s(c)). 3640*c Let j(m) = -27 + 17*m - 5 + 28 + 3. Suppose -4*z + 14 = u, 2*u - 13 = -3*z - 5. Let t(f) = f - 2*f + z*f - 4*f. Give t(j(g)). -17*g + 1 Let p(k) = 11657*k**2 + 3*k - 24. Let i(l) = -l. Give p(i(x)). 11657*x**2 - 3*x - 24 Let u(n) = -1201*n. Let c(y) = 2325*y**2. Give c(u(v)). 3353582325*v**2 Let h(z) = -2*z**2. Suppose 0 = -i - 4, -3*i - 181 = -5*k - 4*i. Let u(p) = -8*p - k*p - 66*p + 1 - 53*p. Give u(h(r)). 328*r**2 + 1 Let o(t) be the third derivative of 0*t + 1/24*t**4 - 69*t**2 + 0 + 0*t**3. Let n(x) = -5*x**2. What is o(n(v))? -5*v**2 Let g = 28 - 15. Suppose l - d - g = 0, 5*l = 2*d + d + 61. Let n(x) = -3*x**2 - 6*x**2 - 4*x**2 + l*x**2. Let a(p) = 8*p**2. What is a(n(t))? 32*t**4 Let g(h) = h. Let f(i) be the first derivative of 4*i**6/45 - i**5/40 + 32*i**3/3 - 49. Let m(p) be the third derivative of f(p). Determine g(m(b)). 32*b**2 - 3*b Let l(p) = 3*p**2. Let i(g) = -8828*g + 18503*g - 9135*g. Determine i(l(s)). 1620*s**2 Let u(k) be the third derivative of -k**5/60 + 91*k**4/12 + 1397*k**2 - 2*k. Let o(y) = -3*y. Determine u(o(j)). -9*j**2 - 546*j Let o(w) = 157*w**2. Let x(f) = 72. Let b(v) = 18*v + 3240. Let g(r) = b(r) - 45*x(r). Calculate g(o(j)). 2826*j**2 Let n(q) = 310*q - 3348. Let r(f) = 2*f - 18. Let s(x) = n(x) - 186*r(x). Let i(d) = -31 - d**2 + 31 + 3*d**2. What is i(s(o))? 7688*o**2 Let y(k) be the second derivative of -17*k**3/6 - 5*k. Let q(a) = -5*a. Let h(t) = -6*t. Let z = -68 - -65. Let s(g) = z*h(g) + 4*q(g). What is y(s(x))? 34*x Let o be ((3 - 1) + 2)*(-21 + 28). Let t(k) = -18*k + 6*k - o*k + 9*k. Let c(h) = 2*h**2. What is c(t(b))? 1922*b**2 Let h be ((-26)/65)/((-1)/360). Let m(k) = h*k - 66*k - 72*k. Let x(f) = -22*f**2. What is m(x(b))? -132*b**2 Let y(o) = 13175698*o**2. Let l(b) = -14*b**2. Determine y(l(s)). 2582436808*s**4 Let x(j) be the second derivative of -8*j**3/3 + 90*j - 3. Let r(c) = 199*c. What is r(x(v))? -3184*v Let d be (48/72)/((-4)/(24/(-1))). Let a(o) be the third derivative of 0*o**d - 1/20*o**5 + 0*o**3 + 0 + 0*o + 28*o**2. Let x(f) = -7*f. What is a(x(r))? -147*r**2 Let s(z) = 19*z**2. Suppose 14243 - 102827 = -4*v. Let t(j) = -22146*j + v*j + 2*j**2. What is t(s(y))? 722*y**4 Let h(n) = 3*n**2 + 2*n. Let m(t) = -37*t - 29*t + 52*t. Determine m(h(k)). -42*k**2 - 28*k Let a(s) = -3*s. Let l(v) = 1488599*v**2 - 1. Determine a(l(j)). -4465797*j**2 + 3 Let v(f) = -5*f**2 - 8*f. Let t(s) = 16813*s - 7*s**2 - 8*s**2 - 16813*s + 13*s**2. Calculate t(v(q)). -50*q**4 - 160*q**3 - 128*q**2 Let l be 92/(-2)*(-4)/8. Let y(q) = 1292*q + 1294*q - 2586*q - l*q**2. Let d(j) = 7*j**2. What is d(y(n))? 3703*n**4 Let s be (-88)/6*21/(-14). Let w(c) = -25*c**2 - 4*c**2 + s*c**2. Let k(r) = 9*r. Give k(w(x)). -63*x**2 Let j(d) = -51 - 43 - d - 56 - 4 + 97. Let l(u) = -37*u - 2. What is l(j(g))? 37*g + 2107 Let r(w) = 24*w**2 + 38*w**2 - 38*w**2. Let h(y) = 6*y**2 - 14*y + 21. Let n(l) = 4*l**2 - 10*l + 15. Let i(p) = 5*h(p) - 7*n(p). Calculate i(r(d)). 1152*d**4 Let h(p) = 508*p**2 - 3*p - 1. Let j(z) = 51*z. Calculate j(h(m)). 25908*m**2 - 153*m - 51 Let h(g) = -42*g**2. Let z(u) = -39*u**2 - 13*u + 13. Let a(r) = 23*r**2 + 8*r - 8. Let w(i) = -13*a(i) - 8*z(i). Determine h(w(d)). -7098*d**4 Let h(u) = -u**2. Let y(z) = -10338077*z. Determine y(h(b)). 10338077*b**2 Let w(p) be the third derivative of p**5/20 + 499*p**3/6 + 243*p**2 + 3*p - 1. Let t(l) = 5*l. Give w(t(u)). 75*u**2 + 499 Let x(u) = 64*u. Suppose 0*b = 3*b - 6. Let p(r) = -12*r**2 - 10*r**b + 30*r**2 - 7*r**2. Calculate x(p(i)). 64*i**2 Let s(a) = -190*a**2. Let k(r) be the first derivative of 8*r**3/3 + 1104. Give k(s(w)). 288800*w**4 Let k(u) = -20*u - 17. Let a = 14 + -6. Let q(n) = -3*n - 3 + 5 - a - 4*n. Let h(p) = 6*k(p) - 17*q(p). Let s(i) = 19*i**2. What is s(h(g))? 19*g**2 Let g(x) = -x**2 - 9*x. Let a(h) be the third derivative of 27*h**4/8 - 4707*h**2. Determine g(a(y)). -6561*y**2 - 729*y Let u(v) = 69 - 69 - 15*v. Suppose -5*n + 10 = -5*z, -4*n = 5*z - 6 - 29. Let a(w) = 4*w - 13 - z*w + 13. What is u(a(i))? -15*i Let i(s) = -173*s. Let h(x) = 11*x**2 - 60*x**2 + 14*x**2 + 8*x**2 + 11*x**2. Give i(h(v)). 2768*v**2 Let n(x) = -6*x**2. Let g(w) be the first derivative of -154*w**3/3 + 3732. Determine g(n(r)). -5544*r**4 Let d(k) = -415*k + 4. Let g(r) = 61*r. Calculate g(d(h)). -25315*h + 244 Let o(k) = 6*k**2. Let u(l) = -2982911*l**2. Calculate u(o(v)). -107384796*v**4 Let z(g) = -g. Let n(t) = -2*t**3 - 7*t**2 - t - 1. Let s be n(-5). Let o = -69 + s. Let y(f) = f + o*f + 2*f. Determine z(y(i)). -13*i Let s(p) = 2356*p. Let c(t) = 4356235*t. Let g(z) = -5*c(z) + 9244*s(z). Let x(r) = -r**2. What is g(x(l))? 2311*l**2 Let w(c) = -3*c. Suppose -20*t + 27 = -11*t. Let n(f) = -14 + t*f + 2 + 12. Calculate w(n(x)). -9*x Let l(z) = -6*z**2 + 42*z + 48. Let v(t) = -5*t**2 + 36*t + 41. Let b(k) = 6*l(k) - 7*v(k). Let m(r) = 175*r. Calculate b(m(s)). -30625*s**2 + 1 Let x(g) = 42402*g**2. Let i(j) =
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 d when two letters picked without replacement from ddddddd? 1 Two letters picked without replacement from faqmbifbfqfmma. Give prob of picking 1 b and 1 i. 2/91 Calculate prob of picking 2 r and 2 i when four letters picked without replacement from {r: 8, i: 3}. 14/55 Four letters picked without replacement from tfannpnpnnnpnnppn. What is prob of picking 1 f, 1 a, 1 p, and 1 t? 1/476 Four letters picked without replacement from eaeahahmrmraheamhera. What is prob of picking 2 m, 1 h, and 1 r? 12/1615 Four letters picked without replacement from {d: 3, t: 3, a: 1, o: 4, x: 7}. What is prob of picking 2 d, 1 t, and 1 a? 1/340 Four letters picked without replacement from {r: 4, u: 16}. Give prob of picking 1 u and 3 r. 64/4845 Two letters picked without replacement from {g: 8, b: 2}. What is prob of picking 1 g and 1 b? 16/45 What is prob of picking 1 m, 2 x, and 1 g when four letters picked without replacement from jxgtxtgxmgxx? 2/33 Three letters picked without replacement from {h: 1, m: 3}. Give prob of picking 1 h and 2 m. 3/4 Three letters picked without replacement from vhxvvehhhvvxhvvvvxve. Give prob of picking 2 e and 1 h. 1/228 What is prob of picking 1 z and 1 w when two letters picked without replacement from uewwwzu? 1/7 What is prob of picking 2 d and 1 v when three letters picked without replacement from {v: 2, y: 1, d: 2, j: 1}? 1/10 Three letters picked without replacement from igigig. What is prob of picking 3 g? 1/20 Three letters picked without replacement from {m: 4, w: 1, p: 1, i: 2, q: 2}. Give prob of picking 2 i and 1 w. 1/120 Two letters picked without replacement from jlljliwjjw. Give prob of picking 1 j and 1 l. 4/15 Calculate prob of picking 1 d, 2 m, and 1 o when four letters picked without replacement from mbnboxndoxmboxnx. 3/1820 Three letters picked without replacement from {r: 4, w: 3}. Give prob of picking 2 w and 1 r. 12/35 What is prob of picking 1 y and 2 n when three letters picked without replacement from {y: 2, j: 3, n: 8, w: 3}? 1/10 Calculate prob of picking 2 g when two letters picked without replacement from gmdnlggdygngn. 5/39 Three letters picked without replacement from kttkkkkkk. What is prob of picking 1 t and 2 k? 1/2 Three letters picked without replacement from {n: 2, y: 1, p: 1, c: 4}. What is prob of picking 1 y and 2 n? 1/56 Two letters picked without replacement from {q: 10, s: 2}. Give prob of picking 1 q and 1 s. 10/33 Two letters picked without replacement from vyyuyhyyyyyy. Give prob of picking 1 h and 1 u. 1/66 Calculate prob of picking 1 h and 2 q when three letters picked without replacement from qxqhqxqqqqqqqxh. 18/91 Four letters picked without replacement from {v: 2, y: 3}. What is prob of picking 3 y and 1 v? 2/5 Three letters picked without replacement from rnvrzttrttkt. What is prob of picking 1 k and 2 r? 3/220 Calculate prob of picking 1 q and 2 k when three letters picked without replacement from kkqqkk. 3/5 Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {z: 1, m: 1, o: 1, i: 1, q: 1}. 1/10 Three letters picked without replacement from dddvdddddhdddhdhd. What is prob of picking 3 d? 143/340 Two letters picked without replacement from jjjsduyupyjuusj. What is prob of picking 1 j and 1 y? 2/21 Three letters picked without replacement from {u: 4, n: 2, o: 2, t: 8}. What is prob of picking 1 u, 1 t, and 1 o? 4/35 What is prob of picking 3 v when three letters picked without replacement from {o: 4, v: 13, z: 3}? 143/570 Three letters picked without replacement from sqysuwwg. What is prob of picking 1 y, 1 u, and 1 g? 1/56 Two letters picked without replacement from {z: 1, u: 2, y: 8, o: 2, l: 5, n: 2}. What is prob of picking 2 o? 1/190 What is prob of picking 2 v when two letters picked without replacement from {m: 11, v: 1}? 0 Three letters picked without replacement from iiaig. Give prob of picking 1 a, 1 g, and 1 i. 3/10 What is prob of picking 2 a and 1 r when three letters picked without replacement from pahdhappar? 1/40 What is prob of picking 1 r, 1 g, and 1 u when three letters picked without replacement from {r: 2, s: 1, u: 2, q: 1, g: 1, n: 2}? 1/21 Calculate prob of picking 2 z, 1 y, and 1 a when four letters picked without replacement from {a: 3, y: 5, h: 1, z: 2, i: 7}. 1/204 Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, o: 2, e: 1}. 1/10 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {v: 7, r: 3}. 7/15 Four letters picked without replacement from rrnjnrngrrnrnnnnr. Give prob of picking 2 r, 1 j, and 1 n. 6/85 Two letters picked without replacement from {c: 1, a: 1, k: 2, e: 1, f: 1, s: 1}. Give prob of picking 1 f and 1 k. 2/21 Two letters picked without replacement from {b: 2, c: 2}. Give prob of picking 2 b. 1/6 Two letters picked without replacement from toadttdohdhdhoodoqd. Give prob of picking 1 d and 1 a. 2/57 Three letters picked without replacement from settsssttsssss. Give prob of picking 3 s. 3/13 Two letters picked without replacement from {u: 1, s: 7, c: 2}. Give prob of picking 2 s. 7/15 Three letters picked without replacement from swwswsswswss. What is prob of picking 3 s? 7/44 Two letters picked without replacement from ddjid. What is prob of picking 1 i and 1 j? 1/10 Calculate prob of picking 3 g when three letters picked without replacement from ggwgcgggcvgwgrrgc. 21/170 Calculate prob of picking 1 h and 1 z when two letters picked without replacement from gggzhgh. 2/21 What is prob of picking 1 j and 1 z when two letters picked without replacement from jjzky? 1/5 What is prob of picking 2 n and 1 a when three letters picked without replacement from {b: 1, x: 1, n: 2, a: 1, j: 2}? 1/35 Calculate prob of picking 2 p when two letters picked without replacement from eekkbrgpepk. 1/55 What is prob of picking 1 j and 2 h when three letters picked without replacement from {j: 1, q: 1, h: 1, a: 1, r: 1}? 0 What is prob of picking 1 h and 1 a when two letters picked without replacement from haaahhaa? 15/28 Two letters picked without replacement from abaaaaawaauazzwabaa. What is prob of picking 1 w and 1 b? 4/171 What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from ussuhuqqsu? 1/10 What is prob of picking 1 t and 1 f when two letters picked without replacement from {t: 9, f: 5}? 45/91 Two letters picked without replacement from {n: 1, g: 1, u: 2, x: 1, s: 2}. Give prob of picking 1 u and 1 n. 2/21 Four letters picked without replacement from {g: 4, r: 2, e: 3, s: 1, f: 8, d: 2}. What is prob of picking 2 d and 2 g? 2/1615 Two letters picked without replacement from {a: 4, w: 1, q: 1, j: 4, f: 3}. Give prob of picking 1 w and 1 j. 2/39 What is prob of picking 1 q and 1 p when two letters picked without replacement from pbbpssbrbxppbbsxxsqb? 2/95 Three letters picked without replacement from {u: 1, v: 4, w: 1, d: 1, n: 2}. Give prob of picking 1 d, 1 u, and 1 v. 1/21 Calculate prob of picking 1 b, 1 f, and 2 x when four letters picked without replacement from {b: 2, p: 10, f: 1, x: 3}. 3/910 Three letters picked without replacement from fffffyfyyfyyfyfy. What is prob of picking 1 y and 2 f? 9/20 Calculate prob of picking 3 o when three letters picked without replacement from {o: 9}. 1 Three letters picked without replacement from tttttptttttptptttttt. Give prob of picking 3 p. 1/1140 Two letters picked without replacement from xdddxdddxyxydd. Give prob of picking 1 x and 1 d. 32/91 Two letters picked without replacement from pydyddadpaaannddd. Give prob of picking 1 a and 1 d. 7/34 Calculate prob of picking 2 n and 2 o when four letters picked without replacement from gowcvcnnono. 3/110 What is prob of picking 1 f and 1 c when two letters picked without replacement from fcffffkfcf? 14/45 Three letters picked without replacement from {i: 1, a: 3, h: 1}. What is prob of picking 3 a? 1/10 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from ueukvme. 2/21 What is prob of picking 3 d when three letters picked without replacement from {d: 7, u: 4}? 7/33 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 1, x: 7, m
{ "pile_set_name": "DM Mathematics" }
? -26 Which is smaller: 2/161 or -9283/4? -9283/4 Which is bigger: 34581 or 34580? 34581 Which is smaller: -432 or 502? -432 Do 134730.4 and 2 have the same value? False Which is smaller: -61886 or -61884? -61886 Which is smaller: -2.3 or 30.38? -2.3 Which is smaller: -88562 or -88568? -88568 Is -1 greater than -134/173? False Is 1486096 <= 1486096? True Are -140285/2 and 1 non-equal? True Is 7117 less than or equal to 6993? False Is 20344 > 20338? True Which is bigger: 12 or 1231? 1231 Which is smaller: -42208 or -42209? -42209 Is -2849252 less than or equal to -2849253? False Is 158528 less than -2? False Is 0.14 > -13617? True Which is smaller: -14/1221 or 89? -14/1221 Which is smaller: -53/5488 or 0? -53/5488 Which is smaller: 199349 or 199355? 199349 Which is greater: -33036 or -0.1? -0.1 Which is greater: 907 or -161? 907 Which is smaller: 126824 or 380473/3? 126824 Which is bigger: -22 or 2/8523? 2/8523 Is -51/484 at most 1? True Do -110 and -347.7 have different values? True Which is smaller: 2 or -1/83? -1/83 Which is greater: 563171 or 563170? 563171 Which is greater: -0.011 or 906? 906 Which is smaller: -30606 or -30610? -30610 Is 7/17 greater than 9/53? True Is 233000 greater than 2562984/11? True Is -3734 < -3723? True Which is smaller: -8027/3 or -2676? -2676 Are 1 and 30.3594 nonequal? True Which is greater: 266190 or 266191? 266191 Which is smaller: -16.07 or 7? -16.07 Is -102587 greater than or equal to -102590? True Which is greater: -2847 or -2820? -2820 Which is bigger: 39/19 or -5.2? 39/19 Is -132.22 != 1/2? True Is -3194 at most -3197? False Is 32 < -49? False Do 15585 and 15582 have different values? True Is -2903 bigger than -264144/91? False Are -3054939 and -3054939 nonequal? False Which is smaller: -3988 or -23933/6? -23933/6 Is -147/346 not equal to 0? True Which is bigger: 0 or -2/221483? 0 Is 2/67499 bigger than -1? True Which is greater: 11880/13 or 913? 11880/13 Which is smaller: -2/101717 or 0.1? -2/101717 Which is greater: -1 or -1/948417? -1/948417 Which is smaller: -16/114769 or 1? -16/114769 Is -2368 bigger than -1805? False Which is greater: 2499 or 2503? 2503 Is -354606 at least as big as -354606? True Which is greater: -342555 or -342568? -342555 Is -219195 at least as big as -219192? False Is 0 smaller than 6/284699? True Which is smaller: -2/7 or 0.50557? -2/7 Which is bigger: 1562 or 49955/32? 1562 Is -953 smaller than 0.064? True Is -7716 < -7713? True Which is bigger: 3174 or 3198? 3198 Are -18187 and -46/3 non-equal? True Which is bigger: 2 or 20.661? 20.661 Is -8 bigger than 182/89? False Which is smaller: 192 or -36? -36 Is 224 not equal to -0.7? True Which is smaller: 285 or -1.05? -1.05 Is -115030 equal to -115028? False Is 0.2 != -13733? True Are -12288 and -12281 unequal? True Is 0 at most 30450? True Is -25546 < -1? True Are -2650 and -2605 nonequal? True Is 16/5341 != -1? True Does -0.05 = -511/528? False Is -2/19 <= -88610? False Is -161 less than -18/11? True Is -6/1026229 bigger than 0? False Which is bigger: -17273 or -17287? -17273 Is -42 equal to -856? False Which is smaller: 0 or -3/127787? -3/127787 Is 30 less than 10092/5? True Which is greater: -26/40987 or 1? 1 Which is smaller: 99/10 or -1.5? -1.5 Is 1042963 greater than 1042961? True Is 2026 greater than 2087? False Is -262472 at least as big as -262470? False Is -52968 smaller than -52965? True Is 26 equal to 2386/87? False Which is smaller: 22726/1071 or 2/7? 2/7 Are 350341 and 350341 equal? True Which is smaller: 1210 or -43/7? -43/7 Which is bigger: -96163 or -96165? -96163 Which is greater: -1 or 95/1177? 95/1177 Which is smaller: -16 or -3732? -3732 Which is smaller: -1139 or -4553/4? -1139 Which is bigger: -3093 or -3103? -3093 Which is bigger: 221 or 272? 272 Are 975029 and 975028 non-equal? True Which is bigger: 2/147841 or 1? 1 Are 19203 and 19256 nonequal? True Do 2983/160 and 18 have different values? True Which is smaller: -463721 or -463715? -463721 Is 0 at most as big as -62/2907? False Which is smaller: 1199483/5 or 239896? 239896 Is 1539 greater than or equal to 624? True Is -3988 at most -3986? True Which is smaller: -255/7 or -36? -255/7 Is 1 greater than 82.668? False Is 0.57 equal to 14/25? False Is -2963564 at most as big as -2963564? True Is -0.054 at most 0.765? True Is 501607 >= -1/2? True Which is bigger: -606682 or -606686? -606682 Are 71337 and 71337 equal? True Which is bigger: -3522 or -2690? -2690 Which is bigger: -1/1614244 or 1? 1 Is -39169 less than -1/4? True Is -440729 smaller than -440729? False Is 31575 > 31575? False Which is smaller: -171/541 or 1? -171/541 Which is smaller: -5213 or -6? -5213 Is 111250/121 less than 920? True Which is smaller: -5155204 or -1? -5155204 Is -1351.34 at least as big as -1? False Is 10197 > 4/3? True Are -6354 and -6344 equal? False Is -33/1534 at least as big as 0? False Is 425884 greater than 425883? True Which is greater: 0 or 19397? 19397 Is 1191881 less than 1/2? False Which is smaller: 75414/19 or 3969? 3969 Does -2/3854649 = 0? False Is -35726/15 at least -2381? False Which is greater: 70089 or 70086? 70089 Is 1.28 bigger than -0.2087? True Is -26.52036 >= 0.1? False Is 531/5072 < -1? False Is -57779 < -57799? False Is -9 equal to -101536? False Which is greater: 11341 or 11348? 11348 Which is smaller: 731175/7 or -2/3? -2/3 Is -6774 at least -6783? True Which is bigger: 27/14 or 3/304? 27/14 Which is smaller: 1/642957 or -1? -1 Is 1/1154754 smaller than -2? False Are -3567305 and -3567305 unequal? False Which is greater: -319/1691 or 0? 0 Are 230/40607 and 0 non-equal? True Is 1178/659 at least as big as 2? False Is 1 at most as big as -98/527? False Is 63104 >= 63103? True Which is bigger: -4050474 or -4050473? -4050473 Is 174694 >= 174692? True Is -1 > -2/440763? False Are 1 and 4/1917 nonequal? True Are 67 and -58/49 equal? False Which is smaller: -794183 or -794184? -794184 Which is greater: -3099/28 or -112? -3099/28 Which is bigger: -4.845 or 358? 358 Is 1318/761 not equal to 2? True Is -424407/5 not equal to -84881? True Is -0.266 at least as big as 11/13? False Are -7/14331 and 1 equal? False Which is bigger: 148132 or 148133? 148133 Is -12714 at most as big as -12747? False Which is bigger: 39852 or 39859? 39859 Is 0.95 < -1/388? False Which is greater: 0 or -6/11729? 0 Is 1 greater than 124359? False Is 1 greater than or equal to 196/199757? True Which is smaller: -4232 or -1? -4232 Is 0 less than 257448? True Which is greater: -198/19691 or 1? 1 Which is smaller: 13/20675 or 0? 0 Do -5779 and 56 have the same value? False Which is greater: -1 or 54/2905? 54/2905 Is 18 smaller than 21899? True Which is bigger: -5/80923 or 0? 0 Is -1504 < -2141? False Is 290 < 149? False Which is smaller: -2/401 or 50? -2/401 Which is smaller: 2 or -9.2541? -9.2541 Which is greater: 468 or 684? 684 Is 0 at least -8/270145? True Is 398 <= 56820/143? False Is -4261/1136 != -3? True Which is smaller: -189/43 or -5? -5 Which is smaller: -1 or -821/931? -1 Which is greater: 9020 or 9019? 9020 Which is greater: -10104/649 or -16? -10104/649 Which is smaller: -2/492669 or 0? -2/492669 Is 124573 <= 124575? True Is 199051 < 199049? False Which is smaller: 0.06 or -34072? -34072 Which is smaller: 1 or -204953? -204953 Is 1486 bigger than 7424/5? True Which is bigger: -1 or -267/1948? -267/1948 Which is bigger: -24 or 41178? 41178 Which is smaller: -883 or -1069? -1069 Is 6016 at most 6018? True Is -48803/68 less than -717? True Which is smaller: -0.1 or 42643? -0.1 Is -2 at most as big as -1380/731? True Are -9663 and -9653 non-equal? True Which is bigger: 4 or 113/27? 113/27 Is 12242 < 12241? False Which is bigger: -4.262 or 4? 4 Is 922/91 at most as big as 11? True Which is smaller: 3 or 1896/703? 1896/703 Which is smaller: -49.6 or -13/3? -49.6 Is 423.388 != -1? True Which is smaller: 0 or 136/201? 0 Which is smaller: -3615892 or -3615893? -3615893 Which is greater: 29612 or 29613? 29613 Is -371934/17 bigger than -21879? True Which is smaller: 2 or -43278.3? -43278.3 Which is greater: -39457 or -118370/3? -118370/3 Which is smaller: 4.8 or -92/27? -92/27 Which is bigger: -49/569 or -1? -49/569 Which is greater: 293 or 6559? 6559 Is -189356 < -189353? True Is 35
{ "pile_set_name": "DM Mathematics" }
of z. 3, 5 Suppose 4*o + 4*f - 28 = 0, -3*o = -0*o - 5*f + 19. Suppose o*q - 9 - 11 = 0. What are the prime factors of q? 2, 5 Let b be ((-2)/1)/(8/28). Let v(d) = -2 - 1 + 3 - d - 3. List the prime factors of v(b). 2 Let b be ((-543)/(-6))/((-2)/(-4)). Suppose 0 = 2*q + 4, 2*v + b = 7*v - 3*q. List the prime factors of v. 5, 7 Suppose -c - 26 + 76 = 0. What are the prime factors of c? 2, 5 Let r(u) = u + 7 - 2 - 2. Let k(w) = -w**2 + w + 7. Let a be k(0). List the prime factors of r(a). 2, 5 What are the prime factors of (0 - 236)*1/(-2)? 2, 59 Let r = -36 + 46. What are the prime factors of r? 2, 5 Let f(t) = 5*t - 1. Let d(j) = 3*j. Let b(u) = 7*d(u) - 4*f(u). Let s be b(-6). Let i = s - -5. What are the prime factors of i? 3 Let u = -5 - -6. Let i be 2*(u + 0) - 0. Suppose -10 = i*k - 3*k. List the prime factors of k. 2, 5 Suppose 185 = 5*x - 140. Suppose 4*t - 2*u = 166, 3*t + 4*u = x + 43. Suppose 2*o - 28 = -4*a, 5*o - o = 4*a - t. List the prime factors of a. 2 Let l(k) = -9*k**3 + 2*k + 1. Let i be l(-1). Let d = i - 11. Let o = d - -7. List the prime factors of o. 2 Suppose 0 = z + z - 72. What are the prime factors of z? 2, 3 Let o(a) be the second derivative of a**5/20 + a**4/2 - 4*a**3/3 + 5*a**2 - 4*a. What are the prime factors of o(-7)? 17 Let x(n) = 10*n**2 + 2*n - 1. Let b be 2/(-4)*(-3 - -1). Let q be x(b). Let u = q + 1. What are the prime factors of u? 2, 3 Let i = -59 - -23. What are the prime factors of 1/(-6) - 1122/i? 31 Let b be (2 + 6)*(4 + -3). Let f = 8 + b. What are the prime factors of f? 2 Let g(r) = -r**3 - 8*r**2 - 2*r - 10. Let y(m) = -m - 5. Let n be y(-5). Let f be (-2 - n)/(4/16). List the prime factors of g(f). 2, 3 Let o be (0 + -5)*1/(-1). Suppose 0 = -v - o*i + 24, 3*v - 4*i - 33 = -2*v. List the prime factors of v. 3 Suppose 0 = 3*c + k - 134, -3*k - 144 - 26 = -4*c. List the prime factors of c. 2, 11 Suppose 2*j + 56 = -28. What are the prime factors of (18/(-21))/(3/j)? 2, 3 Let k(q) = -q**3 + 4*q**2 - 4. Let l be (2 - (-8)/(-6))*6. Suppose 8 = 4*s - l*t, -s = -5*s + t + 11. What are the prime factors of k(s)? 5 Let s(f) = -3*f - 2*f - 12 + 2*f + 3. Let m be s(-7). Suppose 0 = 4*y - y - m. What are the prime factors of y? 2 Suppose -4 + 16 = 4*i. Suppose -5*c + 8*b - 4*b - 12 = 0, 3*c = -i*b - 18. Let v(f) = -2*f + 4. What are the prime factors of v(c)? 2, 3 Let o(j) = -7*j**2 - 8*j + 6. Let d(t) = -t**2 + 1. Let l(x) = 6*d(x) - o(x). What are the prime factors of l(-10)? 2, 5 Let d(c) = -c**2 - 8*c - 1. Let l be d(-6). Suppose 9*a = l*a - 18. List the prime factors of a. 3 Suppose 4*m = -3*w + 11, 3*w = 5*m - w - 6. Suppose 0 = -3*v + g - 0 - 1, 2*g - m = v. Suppose -2*z = -n + 2*z + 2, v = -2*z + 2. List the prime factors of n. 2, 3 Let a be (-1 - 0)/((-3)/6). Let d(s) = s + 0 - 1 + s**2 + a. List the prime factors of d(2). 7 List the prime factors of (1350/(-12))/((-1)/2). 3, 5 Let w(s) be the second derivative of -s**3/6 + s**2/2 + 2*s. Let a be w(-6). Let m = -2 + a. What are the prime factors of m? 5 Let k = 30 + -42. Let q be (-5)/(-3) + (-4)/k. What are the prime factors of (q/4)/(5/160)? 2 Let c = -2 - -2. Let h = 6 - 4. Suppose c = i - h, 2*i - 6 = 5*u - 47. List the prime factors of u. 3 Let y(r) = 7*r + 8. List the prime factors of y(15). 113 Suppose 6 + 112 = 2*q. List the prime factors of q. 59 Let t(j) = -3*j - 3. Let u be t(-2). Let v be -2 - -10 - (u - 1). Suppose v*a = a - 4*m + 68, 3*m + 30 = 3*a. What are the prime factors of a? 2, 3 Suppose 0 = -3*h - 3*q - 2 - 22, 3*q = 6. Let s(z) = z**2 + 10*z + 15. What are the prime factors of s(h)? 3, 5 Suppose -h + 0*a - a + 33 = 0, 3*h = -4*a + 100. Suppose -3*y - h = -4*j, -35 = -2*j - j + 5*y. What are the prime factors of 13/3 - j/15? 2 Let l(s) = -11*s + 6. What are the prime factors of l(-8)? 2, 47 Let m(c) be the first derivative of -c**3/3 + 14*c + 7. Let i(r) = r**2 + 2*r. Let o be i(-2). List the prime factors of m(o). 2, 7 Let r be (-3 - -2)/(2/4). Let k be (-1 + 2/2)/r. Let a(t) = -t + 15. List the prime factors of a(k). 3, 5 Suppose 0 = g - 3*t - 31, 10 - 155 = -3*g - 4*t. List the prime factors of g. 43 Let q(x) be the second derivative of x**5/20 + x**4/4 - x**3/6 + 2*x. Let f be q(-2). Suppose -3 = -o + f. List the prime factors of o. 3 Let a = -13 + 18. Suppose 0 = y - 1 - a. Let o(r) = 2*r - 1. What are the prime factors of o(y)? 11 Let n = -19 - -47. What are the prime factors of n? 2, 7 Let w(c) = -42*c - 19. List the prime factors of w(-5). 191 Let l be 6/(1/5 + 0). Suppose 0 = -2*b + l + 6. List the prime factors of b. 2, 3 Let r be (-264)/(-10) + 9/15. Suppose -2*l - 3*c = -r, 2*l - 2*c = -3*l + 77. List the prime factors of l. 3, 5 Let q(h) = 2*h - 11. Let c be q(8). Suppose -g = g + 3*k - 19, 0 = 5*g + c*k - 40. What are the prime factors of g? 5 Suppose -770 = -50*h + 45*h. What are the prime factors of h? 2, 7, 11 Let w(p) = -2*p - 3. Let s be w(-7). Suppose -3*u + s - 2 = 0. Suppose -56 = -7*d + u*d. List the prime factors of d. 2, 7 Let t be 5/(-15) + 14/6. Suppose -t*r = 63 - 9. Let x = -15 - r. What are the prime factors of x? 2, 3 Let c(s) = s**2 - 7*s + 7. Let u be c(6). Let h = u + 1. List the prime factors of h. 2 What are the prime factors of (204/16)/(3/8)? 2, 17 Suppose 5*d = 5*x + 180, 3*d + 2*x = -2*x + 94. What are the prime factors of d? 2, 17 Suppose 4*l = 2*l + 6. What are the prime factors of -1*(36/l)/(-2)? 2, 3 Let v(f) = 7 + f + 0*f - 4 + 3. Let c be v(-5). Suppose b - 4 = -c. List the prime factors of b. 3 Suppose -3 = -k + 2. Let d(s) = s**3 - 6*s**2 + 10*s + 5. What are the prime factors of d(k)? 2, 3, 5 Let v(i) = i**3 - 7*i**2 - 9*i - 15. List the prime factors of v(10). 3, 5, 13 Let i(k) = -k**2 - 4*k - 2. Let b be 3 - (0/(-3) + -1). Let m = -6 + b. List the prime factors of i(m). 2 Let m(h) = -h**3 + 6*h**2 - h - 5. Let j be m(5). Suppose -2*s + j = 3*s. Suppose 0*x - s*x = -24. List the prime factors of x. 2 Let r = 0 + 4. Suppose 0 = -3*q - 2 - r. What are the prime factors of 1/2*(4 - q)? 3 Let q(w) = w**3 + 7*w**2 - 3. Let j be q(-6). Suppose 2*n + 10 = 0, 6 = 4*b + n - j. What are the prime factors of b? 11 Suppose -3*w - w = -h - 15, -h + 20 = 3*w. Let j = 0 - 0. Suppose j = w*u - 50 + 5. List the prime factors of u. 3 Suppose -16*c = -10*c - 918. What are the prime factors of c? 3, 17 Suppose 6*w = -w + 49. What are the prime factors of w? 7 Let m(v) = v**3 + 4*v**2 + 3*v - 2. Let j be m(-3). Let l be (7/2 + j)*34. Suppose 0 = -2*p + 5*p - l. List the prime factors of p. 17 Let l be 2/6 - 1/3. Suppose -g = -l*g - 13. List the prime factors of g. 13 Suppose -6 = t - 103. List the prime factors of t. 97 Let d = -3 + 22. What are the prime factors of d? 19 Suppose 0 = -4*j - 3*d + 1107, -j - 4*d = -400 + 107. List the prime factors of j. 3, 7, 13 Let s(u) be the second derivative of 2*u + 2*u**2 + 1/20*u**5 + 1/12*u**4 + 0 + 0*u**3. List the prime factors of s(0). 2 Suppose 3*g + 9 = 3*d - g, 4*d = g + 12. Suppose 0 = -3*t - d*n + 84, 0 = -t - 4*t - 2*n + 128. List the prime factors of t. 2, 3 Suppose -4*h + 382 = 2*g, 6*g + 455 = 5*h + g. List the prime factors of h. 2, 47 Let m(n) = -n**2 + 69. Let h be m(0). Let p = -49 + h. List the prime factors of p. 2, 5 Let l(g) = g**3 - 5*g**2 - 8*g + 12. Let f be l(7). What are the prime factors of (f - -5) + -1 + 0? 2, 29 Let p = 21 - 34. Let k = p - -19. What are the prime factors of k? 2, 3 Let d(j) = -j**3 - 6*j**2 - 3*j - 7. Let m = 8 + -14. What are the prime factors of d(m)? 11 Suppose 4*a - 55 = 253. List the prime factors of a. 7, 11 Let i(j) = j**3 + 12*j**2 - 13*j - 27. What are the prime factors of i(-12)? 3, 43 Suppose 2*w - 4 = -4*r + 32, -2*r = 8. List the prime factors of w. 2, 13 Let c = 5 + -11. Let n(a) be the third derivative of a**6/120 + 7*a**5/60 + a**4/6 - 5*a**3/6 - 4*a**2. List the prime factors of n(c). 7 Suppose 4*n + 142 = -2. What are the prime factors of ((-12)/9)/(3/n)? 2 Suppose 5*u = 3*u + 64. What are the prime factors of u? 2 Let u = 36 + -24. What are the prime factors of -2 + 9/3 + u? 13 Let d = 13 + -27. Let k = -5 - d. List the prime factors of k. 3 Let z = 229 - -30. What are the prime factors of z? 7, 37 Let s(h) = -10 + 15*h - 2 + h**3 - 6*h**2 - 24*h + 0. List the prime factors of s(8). 2,
{ "pile_set_name": "DM Mathematics" }
4 Let y(r) = r**2 - 2. Let h be y(0). Let k be (1/h)/(42/36). Let n = 7.4 + -7. Sort n, k, 0.5 in increasing order. k, n, 0.5 Suppose 6 = 9*u - 7*u. Put 5, -4, u in increasing order. -4, u, 5 Let s = 5 - 3. Let j(y) = 2*y**3 - 3*y**2 + 1. Let a be j(s). Sort -5, a, 1. -5, 1, a Let b = 16 - 11. Sort b, -6, 1 in decreasing order. b, 1, -6 Let r(x) = -x**3 + 14*x**2 - 2. Let h be r(14). Let w = 1 + 3. Put -1/5, w, h in descending order. w, -1/5, h Suppose 4*k - m = -6*m + 2, -k - 5 = 4*m. Let u = 5 + -9. Put -3, u, k in decreasing order. k, -3, u Suppose z = 5*j - 33 + 6, 2*j = z + 12. Put 1, -1, j in ascending order. -1, 1, j Let g = -3782 - -71879/19. Let b = g + -181/95. Sort 0.1, -2, b in ascending order. -2, b, 0.1 Suppose -2 - 26 = 2*n. Let i = 20 + n. Suppose i*c - 2 = 5*c. Sort -2, -5, c. -5, -2, c Let g be 1 - (-2)/((-6)/9). Sort 1, -3, g in descending order. 1, g, -3 Let t = -11 - -15. Let g = 12 - 10. Put t, g, 8 in ascending order. g, t, 8 Let x be 125/(-15) - 4/6. Let t = x + 5. Sort 0, 3, t in decreasing order. 3, 0, t Let i = 4 + -8. Put -3, i, 1, 5 in ascending order. i, -3, 1, 5 Let j = 4.459 + -0.489. Let p = j - -0.03. Let r be 2*-1 + 120/50. Sort 2, p, r. r, 2, p Let c = 0.041 - -9.959. Sort 1/4, -2/5, c in ascending order. -2/5, 1/4, c Let o(b) = -b**3 - 8*b**2 + 6*b - 32. Let m be o(-9). Sort -4, -8, 3, m in decreasing order. 3, -4, m, -8 Suppose -2*z = z. Sort z, 4, -2 in decreasing order. 4, z, -2 Let u = -15 - -10. Suppose 3*s - 104 = 4*q, -4*q + 29 + 35 = 3*s. Let o be (-92)/s + (-4)/(-14). Sort -4, u, o. u, -4, o Let v(o) = 2*o - 1. Let k be v(-1). Let l be 6/(-21) + (-52)/14. Suppose -6*q - 3 - 3 = 0. Sort l, k, q in increasing order. l, k, q Let g be 4/(-22) - 105/(-880). Let u = 1/16 - g. Sort 3, u, -0.5. -0.5, u, 3 Let b = 150963/5 - 30059. Let j = -134 + b. Let k = 31.8 + -32. Put j, -5/6, k in descending order. k, j, -5/6 Let n = -0.37 - 0.03. Put n, -2/11, -4 in descending order. -2/11, n, -4 Let q be (112/(-52))/(-1) + -2. Sort q, -0.4, 1 in decreasing order. 1, q, -0.4 Suppose -4*o - 10 = o. Sort -3, 3, o in descending order. 3, o, -3 Let z = -39 + 40.9. Let u = -0.1 - z. Let m = 1 + u. Put 0, -0.2, m in ascending order. m, -0.2, 0 Let b be 0/((-8 + 4)/4). Put -5, b, -0.4 in ascending order. -5, -0.4, b Let g = 19 - 22. Put g, 5, 1/8, 0.1 in increasing order. g, 0.1, 1/8, 5 Let o(p) = p - 1. Let h be o(-6). Suppose 0 = -d + 2*d. Put d, 2, h in descending order. 2, d, h Let s = -1.3 - -0.92. Let h = -0.12 + s. Suppose l = -3*l. Put l, h, 1 in descending order. 1, l, h Let w = 0.143 - -0.257. Put 4, w, -4 in descending order. 4, w, -4 Let d be 45/30*8/18. Sort -0.4, 4/9, d in ascending order. -0.4, 4/9, d Let g = -4 - -8. Sort 3, g, -0.3. -0.3, 3, g Let v(g) be the second derivative of -g**5/20 - 7*g**4/12 - g**3 + g**2 + 2*g. Let b be v(-6). Suppose k - 5*k = 16. Sort k, 5, b in descending order. 5, b, k Let y(g) = -g + 5. Let a be y(4). Sort a, 5, -1 in decreasing order. 5, a, -1 Let a = 11 + -9. Sort a, -1, 1. -1, 1, a Let q = -63 + 62.96. Sort 0, q, -3/8. -3/8, q, 0 Let c = 5.21 - 0.21. Sort c, -1/8, 0.2, -0.2 in descending order. c, 0.2, -1/8, -0.2 Suppose 0*w - w = 4, 0 = 2*k + 4*w + 16. Put 0.1, k, -2 in descending order. 0.1, k, -2 Let m be (1 + 1)/(1 + -2). Let o(b) = b + 6. Let p be o(-10). Let a = m - p. Put -5, 4, a in descending order. 4, a, -5 Let x be 72/27*(-6)/(-8). Let w = -1 - -3. Let p be -2 + w - 0 - 2. Sort p, x, 3. p, x, 3 Let p = 0.65 + -1.15. Sort -2/7, p, -4, 4 in descending order. 4, -2/7, p, -4 Let b(l) = -l**3 + 11*l**2 + 1. Let h be b(11). Put h, 6, 2, 4 in decreasing order. 6, 4, 2, h Let u = 1 - 0. Let j = 0.8 + 2.2. Let v = u - j. Put -0.2, v, -1/8 in increasing order. v, -0.2, -1/8 Suppose 4 = 3*c - c, -4*k + 4*c = 16. Sort -4, -1, -1/3, k in ascending order. -4, k, -1, -1/3 Let h be 0 + 5/((-5)/(-6)). Suppose 0 = 5*j + 1 + 24. Let s = h + j. Sort s, 5, 2 in decreasing order. 5, 2, s Let p = -10 - -22. Let q = p + -10. Put 0.1, q, 3/4 in decreasing order. q, 3/4, 0.1 Let m = -3 + -1. Let u be (-16)/88 - (-48)/22. Put m, u, 5 in decreasing order. 5, u, m Suppose 0 = 2*p - 4*p + 8. Suppose y + 1 = p. Let j = y + -3. Put j, 2, -5 in increasing order. -5, j, 2 Let n be 52/(-8)*-4 - 4. Sort n, -1, 0 in descending order. n, 0, -1 Let m = 16 + -17. Put 2, 0, m in descending order. 2, 0, m Suppose -34 - 16 = -3*l + u, -5*l + 4*u + 74 = 0. Let h be (20/l + -1)*3. Sort h, 0.3, 3 in decreasing order. 3, h, 0.3 Let m = 2 + -1. Let p(q) = -q**3 + 2*q**2 + q - 2. Let l be p(2). Let k be l/(-2)*4/8. Sort m, k, 4 in ascending order. k, m, 4 Let s(q) = -q**3 + 3*q**2 + 3*q + 2. Let w be ((-16)/10)/(2/(-5)). Let b be s(w). Sort 5, b, 1 in decreasing order. 5, 1, b Let c = -3 + 2. Suppose 4*z - 3*z - 1 = -s, 0 = z + 2*s. Suppose -3*f + q + 1 = 12, -4*f + 3*q - 13 = 0. Put f, z, c in descending order. z, c, f Let t = 0 - -1. Let g = 1.888 + 0.112. Put t, 1/2, g in descending order. g, t, 1/2 Let v = -39 - -43. Let b = -0.42 - -0.02. Let m = -0.7 - b. Put 0.2, m, v in ascending order. m, 0.2, v Suppose t - 38 = 3*t. Let l = 47 + t. Suppose 5*m - l - 1 = v, 5*m - 4*v = 41. Put m, -1/10, 4 in decreasing order. m, 4, -1/10 Suppose -h + 3*u - 4 = 4*u, 4 = -4*u. Put 2, h, 3 in ascending order. h, 2, 3 Let b be (-2 - (-9)/2)*-2. Let y = 0.79 - -16.81. Let o = y - 18. Put -4, o, b in descending order. o, -4, b Suppose 4 = 4*j - 16. Suppose -j*l + l = -n - 13, 2 = l + n. Let u = 4 - l. Put 0, u, 3 in decreasing order. 3, u, 0 Let b = -45 - -40. Sort b, -3, -4, 0 in descending order. 0, -3, -4, b Suppose l - 5*l - 4 = 0. Let t be (0 - (-3 - -1)) + -2. Sort l, t, 2 in decreasing order. 2, t, l Let m = 0.03 - 0.11. Let w = m - 0.12. Sort -0.5, w, -0.1 in increasing order. -0.5, w, -0.1 Let o = -55 + 54.57. Let x = o + 0.03. Let c be 228/540 - 2/10. Sort c, -4, x in descending order. c, x, -4 Let k = -1.7 - -1.6. Put 2/17, -4, k, 0.04 in decreasing order. 2/17, 0.04, k, -4 Let v(l) = -l**2 - 24*l - 40. Let b be v(-22). Sort b, 9, -3, 1 in increasing order. -3, 1, b, 9 Let d be (-18 + 20)*1/2. Sort d, 4, 5 in increasing order. d, 4, 5 Let a = 0.09 - 4.09. Suppose -5 - 13 = 2*h. Let i = h - -47/5. Put a, 4, i in descending order. 4, i, a Let g = -3.7 + -1.3. Let l = g + 5.2. Let k = l - 0.7. Sort k, -0.2, -2. -2, k, -0.2 Let s = 25 + -27. Put -4, s, 0 in increasing order. -4, s, 0 Let n = -11 - -14. Sort n, -2, -0.3 in descending order. n, -0.3, -2 Let d = -3 - 0. Let o = 1 - d. Sort -0.4, o, 2 in descending order. o, 2, -0.4 Let r(h) = 2*h**3 + 8*h**2 + 4*h - 7. Let l be r(-3). Sort 4, l, 5 in decreasing order. 5, 4, l Let k(v) = -v**2 + v - 1. Let m be k(2). Sort 0, m, -7, -1 in increasing order. -7, m, -1, 0 Let j be (-1 - (-36)/8)*-6. Let s be (39/j - -2)/1. Sort s, -0.5, -1/7 in descending order. s, -1/7, -0.5 Let i = 1 + 4. Let h be 1 + 0 + (0 - -2). Suppose j + h = y, 17 = -5*y + j - 4*j. Sort y, 2, i. y, 2, i Let a = 26 - 24. Sort a, 0, 3/5. 0, 3/5, a Let f(t) = t**2 - 8*t - 13. Let c be f(9). Put 3/5, c, -5 in increasing order. -5, c, 3/5 Let h(c) = 2*c - 3. Let w be h(2). Suppose 4*z = 8*z. Suppose 2*k = -2*k - 16. Put z, w, k in descending order. w, z, k Suppose -2*g - 40 = -7*g. Suppose 3*l + g = f, l - f + 11 = -3*l. Suppose -6*q + 15 = -q. Put 2, l, q in decreasing order. q, 2, l Suppose 15 + 10 = -5*c - 5*i, 25 = -5*c + 4*i. Put c, -0.5, -1 in descending order. -0.5, -1, c Let u = -0.8 + 1. Let j be 1/(-3)*(-12)/(-5). Let n = 107/3 + -36. Put j, u, n in decreasing order. u, n, j Let g(d) = -3*d**3 + 2*d**2 - 1. Let f(c) = -3*c - 2. Let p be f(-2). Suppose 5 = -5*k - p*h, -3*h = -k + h - 1. Let o be g(k). Sort -2, o, 2. -2, 2, o Let o = 297 - 297.4. Let v = -21 + 61/3. Put 1, v, o in descending order. 1, o, v Let h(n) = -n + 1. Let p be h(-4). Put 2, -1, p, 0 in ascending order. -1, 0, 2, p Suppose 2 + 6 = 4*d. Suppose 5*m + d*x - x = 0, 5*x + 30 = 5*m. Sort 0.2, -4, m in increasing order. -4, 0.2, m Suppose -5*u + 2*z + 27 = 0, 0*u + 3*u - 5*z - 20 = 0. Let n(x) = -2*x**2 + 2*x - 3. Let w be n(2). Let q = -10 - w. Sort q, 2, u in descending order. u, 2, q Suppose 16 = -18*x + 14*x. Sort x, 3, -5 in increasing order. -5, x, 3 Let c = -67 - -63. Sort c, -5, -2, 0 in ascending order. -5, c, -2, 0
{ "pile_set_name": "DM Mathematics" }
ehg? 16/969 What is prob of sequence rqq when three letters picked without replacement from eeqrreeqqqeqeqqqqq? 5/136 Calculate prob of sequence lll when three letters picked without replacement from kkklkkkkkkkkklklkkkl. 1/285 What is prob of sequence jebw when four letters picked without replacement from {b: 2, e: 2, w: 3, j: 8}? 4/1365 Calculate prob of sequence wppw when four letters picked without replacement from jjwcijicjppwjjsjsjc. 1/23256 Three letters picked without replacement from ooofooffflofofoool. Give prob of sequence fol. 5/204 Calculate prob of sequence bs when two letters picked without replacement from sxbaxxbaxb. 1/30 Two letters picked without replacement from {l: 1, y: 7, m: 2}. Give prob of sequence ym. 7/45 Four letters picked without replacement from cpvcsvvpcvc. Give prob of sequence cccc. 1/330 Calculate prob of sequence adw when three letters picked without replacement from ttttttttdttfwtdta. 1/2040 Calculate prob of sequence mm when two letters picked without replacement from yyyyyymzzyetzmzpzpz. 1/171 Four letters picked without replacement from nmnnnnmmnn. What is prob of sequence mmnn? 1/20 Calculate prob of sequence ici when three letters picked without replacement from {i: 2, c: 2}. 1/6 Three letters picked without replacement from iioi. What is prob of sequence iii? 1/4 What is prob of sequence wdr when three letters picked without replacement from rwwwdwzrrrwdw? 4/143 Two letters picked without replacement from oozoozozzozooooo. Give prob of sequence oz. 11/48 Three letters picked without replacement from ajxmv. Give prob of sequence vmj. 1/60 Four letters picked without replacement from {j: 1, a: 1, b: 2, u: 1, n: 2}. Give prob of sequence bjau. 1/420 Three letters picked without replacement from klkrfrfloarklkfkrlrl. Give prob of sequence kll. 5/342 Calculate prob of sequence hhh when three letters picked without replacement from zzhzhh. 1/20 Calculate prob of sequence qq when two letters picked without replacement from kgqq. 1/6 What is prob of sequence zz when two letters picked without replacement from {h: 3, a: 9, z: 4}? 1/20 Four letters picked without replacement from aaaaxaaxaaaaaaxaaa. Give prob of sequence xxxa. 1/816 Four letters picked without replacement from {h: 4, m: 2, a: 2, q: 1, y: 4, b: 1}. Give prob of sequence mama. 1/6006 What is prob of sequence qy when two letters picked without replacement from {t: 1, y: 2, n: 2, s: 1, q: 2}? 1/14 What is prob of sequence pup when three letters picked without replacement from uup? 0 Calculate prob of sequence eaa when three letters picked without replacement from {n: 1, u: 6, e: 1, v: 1, a: 3, b: 3}. 1/455 Calculate prob of sequence gev when three letters picked without replacement from vkovvekevkvkksegv. 3/680 Two letters picked without replacement from fgfgfjfgjjjht. Give prob of sequence tj. 1/39 What is prob of sequence cccc when four letters picked without replacement from ccrcrrrrcc? 1/42 Three letters picked without replacement from {d: 2, x: 2, l: 6, b: 1}. What is prob of sequence lxb? 2/165 Calculate prob of sequence er when two letters picked without replacement from {x: 1, p: 3, e: 3, r: 5}. 5/44 Calculate prob of sequence ul when two letters picked without replacement from lullllauuu. 2/9 Four letters picked without replacement from {g: 1, a: 2, k: 7}. What is prob of sequence gaak? 1/360 Three letters picked without replacement from {b: 1, i: 7, w: 3, n: 1}. Give prob of sequence inw. 7/440 Calculate prob of sequence eb when two letters picked without replacement from bxebg. 1/10 Calculate prob of sequence kii when three letters picked without replacement from {k: 1, l: 3, i: 5, d: 3}. 1/66 Four letters picked without replacement from dooooaoqvogoqvaooao. What is prob of sequence vodo? 5/2584 Calculate prob of sequence pp when two letters picked without replacement from {k: 1, x: 2, a: 1, p: 3, i: 1, s: 5}. 1/26 Calculate prob of sequence arpr when four letters picked without replacement from {k: 2, j: 1, r: 2, p: 1, a: 1, n: 1}. 1/840 Three letters picked without replacement from mmssmms. What is prob of sequence mms? 6/35 What is prob of sequence ggww when four letters picked without replacement from {g: 2, w: 5}? 1/21 Two letters picked without replacement from iyoieyoyoyoofiooi. What is prob of sequence fe? 1/272 Four letters picked without replacement from {c: 1, g: 1, m: 1, e: 1, w: 1}. What is prob of sequence wgme? 1/120 Two letters picked without replacement from ztxbhjb. What is prob of sequence bh? 1/21 Calculate prob of sequence ut when two letters picked without replacement from {u: 2, t: 18}. 9/95 Calculate prob of sequence xcc when three letters picked without replacement from xccxccc. 4/21 What is prob of sequence ii when two letters picked without replacement from {x: 1, y: 1, i: 4, b: 2}? 3/14 What is prob of sequence bvbm when four letters picked without replacement from bvmvvmbvbbbvbvvmv? 3/238 Calculate prob of sequence sc when two letters picked without replacement from scscscsccs. 5/18 Three letters picked without replacement from izzthqo. What is prob of sequence hzq? 1/105 Two letters picked without replacement from {n: 8, d: 2, a: 2, l: 2, z: 3}. Give prob of sequence dd. 1/136 Two letters picked without replacement from {t: 6, k: 2, w: 1, z: 2}. What is prob of sequence wt? 3/55 What is prob of sequence mm when two letters picked without replacement from {q: 5, j: 2, a: 7, m: 4}? 2/51 Calculate prob of sequence hn when two letters picked without replacement from {h: 2, n: 1, o: 1, q: 2, y: 6}. 1/66 Calculate prob of sequence dddd when four letters picked without replacement from {d: 7}. 1 Three letters picked without replacement from kyfftri. Give prob of sequence yff. 1/105 Two letters picked without replacement from jwwwpwqj. What is prob of sequence jj? 1/28 Four letters picked without replacement from ljjjjijljzjjzjli. What is prob of sequence jzjj? 3/130 Three letters picked without replacement from btbtttbbtbbtbtbtttbt. What is prob of sequence btb? 11/95 Two letters picked without replacement from ipypppiyst. Give prob of sequence it. 1/45 Two letters picked without replacement from {o: 1, j: 5, m: 3, l: 7, q: 3}. Give prob of sequence qj. 5/114 Calculate prob of sequence bbl when three letters picked without replacement from mmmmmmllmnjlmbmmjbm. 1/969 Two letters picked without replacement from {k: 1, q: 2, r: 1, y: 2, s: 2}. What is prob of sequence yr? 1/28 Calculate prob of sequence ii when two letters picked without replacement from {i: 5, e: 1, z: 2, b: 2, a: 2, m: 1}. 5/39 Two letters picked without replacement from {s: 4, o: 2, c: 3, e: 2, z: 2, q: 1}. What is prob of sequence qe? 1/91 Three letters picked without replacement from {e: 2, c: 9, m: 2}. What is prob of sequence mem? 1/429 Three letters picked without replacement from {z: 5, i: 4, c: 2}. What is prob of sequence ici? 4/165 Calculate prob of sequence aamm when four letters picked without replacement from {a: 2, o: 9, m: 8}. 7/5814 Four letters picked without replacement from {f: 1, w: 1, d: 4, p: 2}. Give prob of sequence wfdd. 1/140 Three letters picked without replacement from bnykama. What is prob of sequence ynm? 1/210 Three letters picked without replacement from {o: 1, f: 6, s: 10, x: 1, n: 1}. Give prob of sequence sfx. 10/969 Calculate prob of sequence ma when two letters picked without replacement from xvvxmaxqvxxxmqmv. 1/80 Calculate prob of sequence oi when two letters picked without replacement from ooiiottxoooiiieoi. 21/136 Two letters picked without replacement from {z: 2, w: 3, j: 3, u: 12}. What is prob of sequence uw? 9/95 Calculate prob of sequence bfi when three letters picked without replacement from fbfifsfifsbfsfbifbff. 1/57 What is prob of sequence pkl when three letters picked without replacement from {p: 1, k: 1, l: 1}? 1/6 What is prob of sequence ipi when three letters picked without replacement from ppppbppppppiip? 11/1092 Calculate prob of sequence xxh when three letters picked without replacement from {f: 3, h: 1, x: 4, u: 2, z: 1, c: 4}. 2/455 Two letters picked without replacement from {y: 7, i: 1, g: 1}. What is prob of sequence gy? 7/72 Two letters picked without replacement from {l: 3, m: 5}.
{ "pile_set_name": "DM Mathematics" }
3 - 217*b**2/3 + 249*b - 270 = 0. 2, 5, 9 Factor a**2 + 26*a + 160. (a + 10)*(a + 16) Find b, given that 2*b**4 + 1392*b**3 - 296706*b**2 + 14429536*b - 40656000 = 0. -875, 3, 88 Determine u so that -2*u**5/15 - 272*u**4/15 - 354*u**3/5 - 264*u**2/5 = 0. -132, -3, -1, 0 Factor 4*w**2/3 + 1628*w - 9784/3. 4*(w - 2)*(w + 1223)/3 Let 2*k**3/5 - 7432*k**2/5 - 22322*k/5 + 29752/5 = 0. What is k? -4, 1, 3719 Factor 2*x**3/5 - 14602*x**2/5 + 5331920*x - 5329000. 2*(x - 3650)**2*(x - 1)/5 Factor c**2 + 977*c/2 + 39423. (c + 102)*(2*c + 773)/2 Determine x, given that -3*x**4/7 + 711*x**3/7 + 6561*x**2/7 + 2835*x + 19926/7 = 0. -3, 246 Determine k, given that -k**3 + 1175*k**2 + 2354*k = 0. -2, 0, 1177 Solve 21*x**3 - 1143*x**2 + 5706*x - 5880 = 0. 10/7, 4, 49 Determine n so that 2*n**2/13 + 670*n/13 - 104632/13 = 0. -451, 116 Let 2*x**4 + 17938*x**3 - 17950*x**2 - 89706*x - 53820 = 0. What is x? -8970, -1, 3 Factor -4*n**4 + 24*n**3 + 9468*n**2 - 28512*n - 5645376. -4*(n - 36)**2*(n + 33)**2 Factor -3*n**2/5 + 894*n/5 + 75969/5. -3*(n - 367)*(n + 69)/5 Let -s**2 + 14*s + 31280 = 0. Calculate s. -170, 184 Factor z**3/5 - 14333*z**2/5 + 51265431*z/5 + 668875077/5. (z - 7173)**2*(z + 13)/5 Find z such that -125*z**3/4 - 625*z**2/2 + 5795*z/4 - 1105 = 0. -68/5, 1, 13/5 Determine w so that 15*w**3 + 49265*w**2 + 16410*w - 32840 = 0. -3284, -1, 2/3 Factor 6*b**3/11 - 275628*b**2/11 - 1102584*b/11 - 1102608/11. 6*(b - 45942)*(b + 2)**2/11 Suppose 14*d**5 - 46*d**4 - 242*d**3 + 46*d**2 + 228*d = 0. Calculate d. -19/7, -1, 0, 1, 6 Determine a, given that a**3/4 + 5*a**2/2 - 613*a/4 + 589/2 = 0. -31, 2, 19 Let -q**5/4 + 2*q**4 - q**3/4 - 41*q**2/2 + 5*q + 50 = 0. Calculate q. -2, 2, 5 Find i such that -10*i**5/3 + 1402*i**4 + 10214*i**3/3 - 8746*i**2 + 5060*i/3 + 2256 = 0. -4, -2/5, 1, 423 What is o in -5*o**4 - 31360*o**3 - 188040*o**2 - 376000*o - 250640 = 0? -6266, -2 Solve -u**3/2 - 156*u**2 - 5373*u/2 - 11907 = 0. -294, -9 What is j in -2*j**3/9 - 178*j**2/3 - 292*j - 2096/9 = 0? -262, -4, -1 Let -645*i**2 - 7797*i - 684 = 0. Calculate i. -12, -19/215 Determine x, given that 3*x**3 + 1485*x**2 + 5901*x + 4419 = 0. -491, -3, -1 Factor 5*c**3 - 8095*c**2 + 144495*c - 648405. 5*(c - 1601)*(c - 9)**2 Factor -422*f**2/5 + 14938*f + 708/5. -2*(f - 177)*(211*f + 2)/5 Factor p**4/8 + 52047*p**3/2 + 2708994301*p**2/2 + 5417676324*p + 5417572232. (p + 2)**2*(p + 104092)**2/8 Suppose 2*p**4 + 9511*p**3 + 61742*p**2 + 23739*p - 28494 = 0. What is p? -4749, -6, -1, 1/2 Let -2*s**4/19 + 2500*s**3/19 - 778744*s**2/19 - 1567504*s/19 = 0. Calculate s. -2, 0, 626 Factor 4*d**3 + 4288*d**2 + 113060*d + 209000. 4*(d + 2)*(d + 25)*(d + 1045) Find q, given that -12*q**5/5 - 71*q**4/5 + 18*q**3/5 + 71*q**2/5 - 6*q/5 = 0. -6, -1, 0, 1/12, 1 Factor -244*b**2 - 12*b. -4*b*(61*b + 3) Factor 2*p**2/7 + 8228*p/7 - 2352. 2*(p - 2)*(p + 4116)/7 Find m, given that -2*m**2/5 - 106*m/5 - 1292/5 = 0. -34, -19 Solve 4*s**3 + 708*s**2 + 704*s = 0 for s. -176, -1, 0 Factor 2*k**3/3 + 770290*k**2/9 + 8240883374*k/3 - 915663218. 2*(k + 64191)**2*(3*k - 1)/9 Factor 4*o**4 - 1210608*o**3 + 91598233104*o**2. 4*o**2*(o - 151326)**2 Let -5*l**3 + 21660*l**2 - 64945*l + 43290 = 0. Calculate l. 1, 2, 4329 What is r in 94*r**4 - 20923*r**3/2 - 58189*r**2/2 + 9294*r - 342 = 0? -3, 2/47, 1/4, 114 Factor z**3/4 - 391*z**2/4 + 1419*z - 3384. (z - 376)*(z - 12)*(z - 3)/4 Suppose -2*t**3/7 - 680*t**2/7 + 18694*t/7 - 123708/7 = 0. Calculate t. -366, 13 Find v, given that 4*v**4 + 42300*v**3 - 296328*v**2 - 338624*v = 0. -10582, -1, 0, 8 Let -4*n**4 - 488*n**3 - 13348*n**2 + 93696*n - 147456 = 0. Calculate n. -64, 3 Determine l, given that 4*l**2/9 + 3052*l/9 - 159152/9 = 0. -812, 49 Find c such that 2*c**5/13 + 86*c**4/13 + 1270*c**3/13 + 7954*c**2/13 + 19728*c/13 + 12960/13 = 0. -20, -9, -4, -1 What is f in -2*f**5/17 + 22*f**4 + 7762*f**3/17 + 802*f**2 - 7760*f/17 - 824 = 0? -17, -2, -1, 1, 206 Factor -p**3/4 - 437*p**2/2 - 47523*p + 95922. -(p - 2)*(p + 438)**2/4 Factor -2*r**2 - 4976*r - 49560. -2*(r + 10)*(r + 2478) Factor -2*y**3 + 276*y**2 - 3442*y - 3720. -2*(y - 124)*(y - 15)*(y + 1) Solve -375*c**5 - 763575*c**4 + 1376820*c**3 + 2384976*c**2 + 1051680*c + 146736 = 0. -2038, -2/5, 3 Find m such that -3*m**3 + 227271*m**2 - 4304455920*m + 4304228652 = 0. 1, 37878 Solve -4*s**3 + 140*s**2 + 1591232*s - 405466368 = 0. -717, 376 What is l in 2*l**2/17 - 1644924*l/17 + 338221870722/17 = 0? 411231 Factor 81*c**4 - 11214*c**3 + 399181*c**2 - 765044*c + 376996. (c - 1)**2*(9*c - 614)**2 Factor -2*r**2/5 - 2872*r/5 - 662966/5. -2*(r + 289)*(r + 1147)/5 Let -2*b**3/7 - 33606*b**2 + 470490*b/7 - 235246/7 = 0. What is b? -117623, 1 Find w, given that 2*w**2/9 + 37640*w/9 + 177096200/9 = 0. -9410 Factor 2*p**2/19 - 206*p/19 + 1692/19. 2*(p - 94)*(p - 9)/19 Factor -3*l**2 - 39153*l + 39156. -3*(l - 1)*(l + 13052) Factor -9*a**2 + 5424*a + 1809. -3*(a - 603)*(3*a + 1) Find b such that b**3 - 2816*b**2 - 28251*b - 25434 = 0. -9, -1, 2826 Determine b, given that -2*b**3/5 + 43*b**2/5 + 477*b/5 + 198 = 0. -11/2, -3, 30 Solve 14*z**5 + 620*z**4/3 + 322*z**3 - 4892*z**2/3 + 880*z = 0. -12, -5, 0, 2/3, 11/7 Suppose 2*v**5/5 - 4856*v**4/5 - 29238*v**3/5 + 73036*v**2/5 - 38944*v/5 = 0. What is v? -8, 0, 1, 2434 Factor 5*n**3 - 40*n**2 - 305*n + 1540. 5*(n - 11)*(n - 4)*(n + 7) Let -224*u**5/3 + 1319*u**4/3 - 970*u**3/3 - 125*u**2/3 = 0. Calculate u. -25/224, 0, 1, 5 Factor 2*h**3/15 - 638*h**2/15 + 7744*h/3 + 681472/5. 2*(h - 176)**2*(h + 33)/15 Find x such that -2*x**3/5 + 504*x**2/5 - 3918*x/5 + 3416/5 = 0. 1, 7, 244 Let 5*k**3 + 3100*k**2 - 44315*k + 41210 = 0. Calculate k. -634, 1, 13 Determine h so that 42*h**5/13 - 12730*h**4/13 - 63132*h**3/13 - 97192*h**2/13 - 41904*h/13 + 4928/13 = 0. -2, -1, 2/21, 308 Let -14*r**4 - 269280*r**3 - 346198*r**2 - 76932*r = 0. What is r? -19233, -1, -2/7, 0 Factor 1635*q**2 - 2225*q + 560. 5*(3*q - 1)*(109*q - 112) Solve 5*p**4 + 3040*p**3 - 24540*p**2 + 61520*p - 49280 = 0 for p. -616, 2, 4 Let -2*z**2/7 - 4832*z/7 - 690 = 0. Calculate z. -2415, -1 Suppose 120*j**5 - 78111*j**4 - 319659*j**3 - 416295*j**2 - 186657*j - 11790 = 0. What is j? -2, -1, -3/40, 655 Determine b so that -b**5 + 524*b**4/5 + 127*b**3 + 106*b**2/5 = 0. -1, -1/5, 0, 106 Determine t, given that -4*t**2 + 956*t - 12600 = 0. 14, 225 What is i in -3*i**4 + 1200*i**3/7 + 4971*i**2/7 - 1758*i/7 - 4392/7 = 0? -4, -6/7, 1, 61 Find l, given that -l**4 - 21*l**3/4 - 27*l**2/4 + 4*l + 9 = 0. -9/4, -2, 1 Determine f, given that -5*f**5 + 80*f**4 + 320*f**3 - 590*f**2 - 1515*f + 1710 = 0. -3, 1, 2, 19 Suppose -2*m**4 - 4324*m**3 - 4318*m**2 + 8644*m = 0. Calculate m. -2161, -2, 0, 1 What is d in -6*d**5 + 3033*d**4/2 - 1116*d**3 - 9075*d**2/2 + 369*d + 2268 = 0? -1, 3/4, 2, 252 Factor y**2 - 1626970*y + 661757845225. (y - 813485)**2 Suppose 3*r**2 - 228261*r + 684756 = 0. What is r? 3, 76084 Factor -h**3/5 + 13*h**2/5 + 96*h/5 - 108/5. -(h - 18)*(h - 1)*(h + 6)/5 What is w in 5*w**4 - 250*w**3 + 1715*w**2 - 1470*w = 0? 0, 1, 7, 42 What is q in -4*q**3 - 388*q**2 + 32836*q + 33220 = 0? -151, -1, 55 Solve -3*m**2 - 13509*m + 13512 = 0 for m. -4504, 1 Factor 2*p**2/11 + 15178*p/11 + 45516/11. 2*(p + 3)*(p + 7586)/11 Factor 5*a**3 + 1060*a**2 + 2085*a - 3150. 5*(a - 1)*(a + 3)*(a + 210) Factor x**3/3 + 199*x**2/3 - 1448*x + 2628. (x - 18)*(x - 2)*(x + 219)/3 Factor 2*x**2/11 + 168*x + 43200/11. 2*(x + 24)*(x + 900)/11 Find z such that -z**5 - 79*z**4 - 306*z**3 - 454*z**2 - 301*z - 75 = 0. -75, -1 Factor z**4 - 8478*z**3 + 33885*z**2 + 93208*z + 50844. (z - 8474)*(z - 6)*(z + 1)**2 Find j, given that -2*j**3/9 + 11984*j**2/9 - 59878*j/9 + 47896/9 = 0. 1, 4, 5987 Factor 3*n**5/5 + 4674*n**4/5 + 1820523*n**3/5. 3*n**3*(n + 779)**2/5 Determine n, given that 5*n**2 + 107235*n + 107230 = 0. -21446, -1 Factor 3*o**2 + 39*o - 504. 3*(o - 8)*(o + 21) Solve 3*b**4 + 1947*b**3 - 7824*b**2 + 7836*b = 0. -653, 0, 2 Factor -2*g**2/7 + 130*g/7 + 264. -2*(g - 77)*(g + 12)/7 Factor d**2 - 78167*d. d*(d - 78167) Determine q so that -4*q**2 + 15960*q - 459476 = 0. 29, 3961 Factor -m**3 - 45*m**2 - 303*m - 259. -(m + 1)*(m + 7)*(m + 37) Factor -2*w**2/5 + 5682*w/5 - 11356/5. -2*(w - 2839)*(w - 2)/5 Determine j, given that 4*j**2 + 56848*j + 56
{ "pile_set_name": "DM Mathematics" }