e (-8 - -9) + (d - (-10)/(-4)). Let -1/2*u**2 + p*u - 1/2*u**3 + 1/2 = 0. What is u?
-1, 1
Let p(c) be the third derivative of -c**10/6048 - c**9/1008 - c**8/672 - 7*c**4/24 + 20*c**2. Let g(q) be the second derivative of p(q). Factor g(s).
-5*s**3*(s + 1)*(s + 2)
Let f(i) = i**5 - i**4 + i**3 - i**2 - 1. Let w(a) = -6*a**5 - 46*a**4 + 2*a**3 + 66*a**2 + 16*a - 38. Let x(d) = 6*f(d) - w(d). Suppose x(z) = 0. What is z?
-2, -1, 2/3, 1
Suppose -15*b + 53 = -22. Let j(d) = 15*d**2 - 345*d + 2885. Let f(n) = 23*n**2 - 518*n + 4327. Let k(i) = b*f(i) - 8*j(i). Factor k(g).
-5*(g - 17)**2
Let l be (-5 + 140/25)/(5/(-100)*-9). Factor 0 + 2/9*u + 2*u**3 + l*u**2 + 8/9*u**4.
2*u*(u + 1)**2*(4*u + 1)/9
Let l(m) be the second derivative of -507*m**5/100 - 559*m**4/20 - 16*m**3 - 18*m**2/5 + 56*m - 6. What is u in l(u) = 0?
-3, -2/13
Suppose k + 5*d = 13, d = -k - 1 + 6. What is b in 45 + 80*b**4 - 105*b - 5*b**5 - 95*b**4 + b**2 + 30*b**k + 49*b**2 = 0?
-3, 1
Suppose 0 = -2*g + 10 + 42. Let t = 33 - g. Factor -t*h**4 + 6*h - 6*h**3 - 3*h**4 + 3*h**2 + 7*h**4.
-3*h*(h - 1)*(h + 1)*(h + 2)
Let c(g) be the second derivative of 1/252*g**7 + 1/36*g**4 + 0 - 1/12*g**5 + 1/60*g**6 - 5/12*g**2 + 38*g + 1/4*g**3. Determine x, given that c(x) = 0.
-5, -1, 1
Let c = 40 - 68. Let v be c/(-16) + 2/8. Determine l so that -3*l**2 + l**2 - 4*l**v + 4*l**3 - l**3 = 0.
0, 2
Let a(h) be the second derivative of 3*h**5/4 - 655*h**4/3 - 875*h**3/6 + 2*h - 328. Factor a(j).
5*j*(j - 175)*(3*j + 1)
Suppose -3*o = 3 - 18. Let r be 2/(-13) - 98/(-130). Factor -r*y**4 + 0*y - 3/5*y**o + 3/5*y**2 + 3/5*y**3 + 0.
-3*y**2*(y - 1)*(y + 1)**2/5
Let l(a) = 869*a + 4349. Let n be l(-5). Find p such that -4/7*p + 4/7*p**3 - 8/7*p**n - 4/7 + 12/7*p**2 = 0.
-1, -1/2, 1
Solve 32*u - 33*u**2 - 6 + 4 + 85*u**2 - 30*u + 48*u**3 = 0 for u.
-1, -1/4, 1/6
Let 4*z**5 + 3 + 4*z**4 + 53*z**2 - 3 + 39*z**2 + 6829*z**3 - 40*z - 6889*z**3 = 0. What is z?
-5, 0, 1, 2
Let i(v) be the first derivative of v**4/38 + 4*v**3/57 - 13*v**2/19 + 20*v/19 - 173. Suppose i(z) = 0. What is z?
-5, 1, 2
Let r(y) = -y**2. Let s(w) = 3*w**2 + w + 40. Let m(d) = -4*r(d) - s(d). Let t be m(7). Factor 1/3*v**t + v + 0.
v*(v + 3)/3
Suppose -145*c = 10*c - 57 + 57. Let 0 - 4/3*s**3 + c*s**2 + 0*s**4 + 0*s + 4/3*s**5 = 0. Calculate s.
-1, 0, 1
What is j in 24/5 - 8*j + 18/5*j**2 - 2/5*j**3 = 0?
1, 2, 6
Determine c so that -10/9*c**3 - 62/9*c**2 + 46/9*c**4 - 10/9*c**5 + 20/9*c + 16/9 = 0.
-1, -2/5, 1, 4
What is n in -3684 - 270*n + 2*n**2 - 7*n**2 + 39 = 0?
-27
Let j(r) be the first derivative of 1/2*r**4 - 4*r**2 + 0*r - 2*r**3 - 49. Let j(t) = 0. What is t?
-1, 0, 4
Let d(u) be the second derivative of u**4/54 + 232*u**3/27 + 13456*u**2/9 + 404*u. Determine g, given that d(g) = 0.
-116
Let b be 27/(-18) + (-7)/(-2). Suppose 8*m - 5*m + 3*m**b - 6 - 4*m - 2*m = 0. Calculate m.
-1, 2
Let r(y) = y**4 + y - 1. Let b = 1 - 0. Let g be (28 + -2)/(-2) + 1. Let j(q) = 9*q**4 - 3*q**3 + 6*q**2 + 12*q - 12. Let p(l) = b*j(l) + g*r(l). Factor p(m).
-3*m**2*(m - 1)*(m + 2)
Let b(k) be the first derivative of k**4/4 + k**3/3 - 88. What is i in b(i) = 0?
-1, 0
Let o = -360/403 - -42/31. Determine x, given that 2/13*x**2 + o*x + 0 = 0.
-3, 0
Let i(j) = 10*j**5 - 190*j**4 + 395*j**3 - 110*j. Let n(f) = -f**5 + 21*f**4 - 44*f**3 + 12*f. Let w(l) = 6*i(l) + 55*n(l). Let w(k) = 0. What is k?
-5, 0, 2
Let b(f) = 5*f - 16. Let t be b(4). Factor -19 - 4*y**5 + 19 - 12*y**t - 8*y**3.
-4*y**3*(y + 1)*(y + 2)
Let p(d) be the third derivative of -d**5/15 + 32*d**4/3 - 2048*d**3/3 - 23*d**2 - 4*d. Suppose p(a) = 0. What is a?
32
Let b be 2/(4*(-2)/(-16)). Let q be b/16 - (-94)/8. Let 9*f - q - 13*f - 3*f**2 - 11*f = 0. What is f?
-4, -1
Let k(x) be the first derivative of x**4/18 + 14*x**3/9 + 13*x**2/3 + 38*x/9 + 119. Factor k(f).
2*(f + 1)**2*(f + 19)/9
Let s be ((-6)/(-5))/((-4)/(-70)). Suppose -v + 4*v = s. Suppose v*z + 6 + 12 + 2*z**2 + 5*z + 0 = 0. Calculate z.
-3
Let o(p) = -6*p**3 + 3*p**2 + 21*p - 9. Suppose 2*g + 0 = 10. Let i(y) = 5 - 10*y - y - y**3 + 4*y**3 - 2*y**2. Let r(x) = g*o(x) + 9*i(x). Factor r(b).
-3*b*(b - 1)*(b + 2)
Suppose 147 - 107 = 10*v. Let r(s) be the second derivative of 4*s + 0 - 16/3*s**3 + v*s**2 + 7/2*s**4 - 9/10*s**5. Factor r(l).
-2*(l - 1)*(3*l - 2)**2
Factor 8/5*a + 2/5*a**2 + 8/5.
2*(a + 2)**2/5
Let z be -2 - -1*21 - 1. Let y be 20/15*z/8. Factor n + 0*n**4 - n**y - 2*n**4 - 3*n**2 + 3*n**4 + 2.
(n - 2)*(n - 1)*(n + 1)**2
Suppose -1924/3*r - 4/3*r**5 - 1720/3*r**2 - 376/3*r**3 + 92/3*r**4 - 676/3 = 0. Calculate r.
-1, 13
Let n(k) be the second derivative of -1/2*k**2 + 4*k + 0*k**3 + 0*k**4 - 1/300*k**6 + 0 + 1/150*k**5. Let m(w) be the first derivative of n(w). Factor m(h).
-2*h**2*(h - 1)/5
Let n(l) be the first derivative of -2*l**6/27 + 16*l**5/45 - l**4/3 - 16*l**3/27 + 8*l**2/9 - 211. Let n(a) = 0. What is a?
-1, 0, 1, 2
Let h(q) be the third derivative of -q**6/480 - q**5/160 + q**3/48 - 20*q**2 - 1. Factor h(m).
-(m + 1)**2*(2*m - 1)/8
Let j = 128 + -125. Let u be (-12)/(-30) - j/(-5). Factor -1/2*m - 1/2*m**2 + u.
-(m - 1)*(m + 2)/2
Suppose 0 = -5*n + 6*n - 5*l + 5, 0 = 3*n - 3*l - 21. Suppose -i = -13 + n. Solve -9*s**4 + 0*s**5 + 3*s**5 + 3*s**i + 15*s**4 = 0 for s.
-1, 0
Let h**3 + 2*h - 3*h - 12*h**2 - 4*h**2 + 0*h**3 + 16 = 0. What is h?
-1, 1, 16
Factor -33*i + 17 + 5 + 5*i + 18*i**2 + 2*i**3 + 7*i - 21*i.
2*(i - 1)**2*(i + 11)
Let z(i) be the second derivative of -2*i**7/63 - 2*i**6/15 - i**5/15 + i**4/3 + 4*i**3/9 - 281*i. Solve z(d) = 0 for d.
-2, -1, 0, 1
Suppose 3*j - 5*z = -64, -6*j = -4*j - 3*z + 42. Let r be ((-6)/15)/(j/15). Determine o, given that 8/3 - 4*o - r*o**3 + 2*o**2 = 0.
2
Suppose 0 = r + 5*w + 6, 2*r + w = 6*w + 18. Let a(y) = -9*y + 93. Let o be a(10). Solve -r*z + 3 - 2*z**2 - 2 - o = 0 for z.
-1
Let y = 71/134 + -2/67. Let n(b) = -b**3 + 6*b**2 - 4*b - 3. Let u be n(5). Determine o, given that -y*o**u + 1 - 1/2*o = 0.
-2, 1
Let z(r) = -73*r**2 + 32*r - 3. Let k(x) = -1167*x**2 + 513*x - 48. Let c(t) = 2*k(t) - 33*z(t). Find q such that c(q) = 0.
1/5
Let b(z) be the third derivative of 11/420*z**6 + 1/35*z**5 + 0*z**4 + 4/735*z**7 + 0*z**3 + 0*z + 0 + 2*z**2. Determine v, given that b(v) = 0.
-2, -3/4, 0
Let d(j) be the first derivative of j**6/300 - j**5/75 + 47*j**2/2 + 36. Let y(l) be the second derivative of d(l). Factor y(c).
2*c**2*(c - 2)/5
Let h(l) be the second derivative of 6*l + 6/7*l**2 + 3/140*l**5 + 0 - 1/2*l**3 + 1/14*l**4. Solve h(c) = 0.
-4, 1
Let j(c) be the first derivative of -c**4/14 + 27*c**2/7 - 108*c/7 + 163. Factor j(t).
-2*(t - 3)**2*(t + 6)/7
Let z(u) be the third derivative of -22*u**2 - 1/840*u**8 + 0*u**5 + 0*u**3 + 2/525*u**7 + 0*u + 0*u**4 + 0*u**6 + 0. Factor z(m).
-2*m**4*(m - 2)/5
Let u = -37 + 65. Let x be 1 + 8/6 - (-31 + u). Factor -22/3*w + 160/3*w**3 - x*w**2 + 4/3.
2*(4*w - 1)**2*(5*w + 2)/3
Factor -8/13 - 2/13*a**3 + 8/13*a**2 + 2/13*a.
-2*(a - 4)*(a - 1)*(a + 1)/13
Suppose 4*r - 3*t - 1 = 3, -r = 2*t - 12. Let x be 1/(((-8)/(-6))/r). Suppose -3*p**x + 7*p**2 + 7*p**2 - 5*p**2 - 6*p = 0. What is p?
0, 1, 2
Let b(d) be the second derivative of 2*d**7/21 + 4*d**6/15 - 4*d**5/5 - 8*d**4/3 + 143*d + 2. Factor b(s).
4*s**2*(s - 2)*(s + 2)**2
Suppose z = 4*z. Let a be 2/(-4) + z + (-1)/(-2). Determine s so that 0*s**2 - 1/4*s**3 + 1/4*s + a = 0.
-1, 0, 1
Let b(o) be the second derivative of o**10/75600 - o**8/5600 + o**7/3150 - 29*o**4/12 - 2*o. Let a(w) be the third derivative of b(w). What is p in a(p) = 0?
-2, 0, 1
Let m(x) = 2*x**2 - 718*x - 1442. Let n be m(-2). Suppose -2 + 1/2*d**n - 3/2*d = 0. What is d?
-1, 4
Suppose -9*k - 66 + 336 = 0. Factor -z**3 - k*z**4 + 9*z**3 + 49*z**4 - 23*z**4.
-4*z**3*(z - 2)
Find l such that -73/4*l + 1/4*l**2 - 37/2 = 0.
-1, 74
Let c(j) be the first derivative of 3/8*j**4 - 1/4*j**6 - 3/5*j**5 + 0*j + j**3 + 0*j**2 - 22. Find z, given that c(z) = 0.
-2, -1, 0, 1
Let x = -5909/3 - -1970. Find m, given that 1/3*m + 0 - x*m**2 = 0.
0, 1
Let p = 44/57 + -2909/3990. Let c(w) be the third derivative of 0 - 16/735*w**7 - p*w**5 - 2/35*w**6 - 1/84*w**4 + 0*w + 0*w**3 - 7*w**2. Factor c(m).
-2*m*(m + 1)*(4*m + 1)**2/7
Let i(n) be the first derivative of -12 + n**3 - 1/4*n**4 - 4*n + 0*n**2. Factor i(h)