*8/560 + n**7/140 - n**6/40 + 2*n**3 + 6. Let p(w) be the third derivative of r(w). Suppose p(x) = 0. What is x?
-3, 0, 1
Let c(d) be the second derivative of -1/2*d**6 + 5*d**2 - 15/2*d**3 + 0 - 2*d - 5/4*d**5 + 65/12*d**4 + 5/21*d**7. Determine h so that c(h) = 0.
-2, 1/2, 1
Suppose 2*p = -3*c + c + 30, 2*c = -p + 16. Let m = p + -7. Factor -8*x**5 - x**2 - m*x**3 - 8*x**5 + 7*x**5 - 15*x**4.
-x**2*(x + 1)*(3*x + 1)**2
Solve 45/7 - 3/7*f**3 + 3/7*f - 45/7*f**2 = 0 for f.
-15, -1, 1
Factor 8 - 64*c + 40*c**2 + 38*c**2 + 64*c**2 - 16*c**2.
2*(7*c - 2)*(9*c - 2)
Factor -81/5*k**2 + 18*k - 24/5 + 3*k**3.
3*(k - 4)*(k - 1)*(5*k - 2)/5
Suppose 0 = 4*l - 4*c - c - 50, -c = -3*l + 43. Let q be (24/15*-1)/((-42)/l). Factor 0*v**2 - 4/7*v + 0 + q*v**3.
4*v*(v - 1)*(v + 1)/7
Suppose 135 = 30*y + 7*y - 50. Suppose -4/7*d**2 + 0*d + 0 + 4/7*d**4 - 6/7*d**y + 6/7*d**3 = 0. What is d?
-1, 0, 2/3, 1
Let p(a) be the first derivative of a**6/2 + 18*a**5/5 + 9*a**4 + 10*a**3 + 9*a**2/2 - 200. Let p(l) = 0. Calculate l.
-3, -1, 0
Let p be -51*(-2 + (-21)/(-9)). Let o = -11 - p. Solve -c**2 + o + 10 - 15 = 0 for c.
-1, 1
Find v such that 51*v**2 + 0*v + 22*v**3 + 137*v**2 - 4*v**4 + 0*v + 162*v**3 = 0.
-1, 0, 47
Let y = 68 + -8. Suppose 3*n = -n + y. Determine a, given that 25*a + 0*a**5 + 9*a - 12*a**2 - 90*a**3 - 10*a - n*a**5 - 69*a**4 = 0.
-2, -1, 0, 2/5
Let r = -33 + 35. Determine d so that 4*d**3 + 226 + 2*d**2 + r*d**4 - 226 = 0.
-1, 0
Let k(h) be the third derivative of h**5/30 - 29*h**4/12 + 140*h**2. Factor k(y).
2*y*(y - 29)
Let c = -1 - -1. Let j = -216 - -221. Factor j + 3*n + c*n**2 - 1 + n + n**2.
(n + 2)**2
Let g be 4*4/(-616)*-7. Let y(w) be the first derivative of -g*w**4 - 6/11*w**3 - 4 - 2/11*w - 6/11*w**2. Factor y(u).
-2*(u + 1)**2*(4*u + 1)/11
Let s(q) be the first derivative of -q**4/36 - q**3/18 + q**2/3 - 11*q + 12. Let a(c) be the first derivative of s(c). Suppose a(z) = 0. Calculate z.
-2, 1
Let s(i) = i**4 - i**3 + i - 1. Let h(x) = 6*x**4 - 8*x**3 + 2*x**2 + 11*x - 11. Suppose 11*n - 6 = 8*n. Let j(o) = n*h(o) - 22*s(o). Factor j(c).
-2*c**2*(c - 1)*(5*c + 2)
Let b(l) be the first derivative of 2*l**3/3 + 38*l**2 - 160*l - 183. Factor b(y).
2*(y - 2)*(y + 40)
What is q in 168/5*q**2 + 68/5*q**3 + 48/5*q - 128/5 + 6/5*q**4 = 0?
-8, -2, 2/3
Let r be ((-18)/(-60))/((-11)/(-110)). Let v(y) be the first derivative of 0*y - r*y**3 + 5 + 0*y**4 - 3*y**2 + 3/5*y**5. Factor v(p).
3*p*(p - 2)*(p + 1)**2
Let b(d) be the second derivative of 0 - 23*d + 8*d**2 - 1/3*d**4 + 0*d**3. Determine g so that b(g) = 0.
-2, 2
Factor -168*y**3 - 5*y**4 - 405*y**2 + 335*y**3 - 77*y**3.
-5*y**2*(y - 9)**2
Suppose 0 = 8*k - 39 + 32 - 25. Suppose -8 = -4*d - 0*d. Suppose 1/5*l**k + 0*l + 0*l**3 + 0 - 1/5*l**5 + 0*l**d = 0. What is l?
0, 1
Suppose 38*y + 3 = 42*y + z, y - 3*z = 17. Solve -2/3*d**3 - 4/3 + 2/3*d + 4/3*d**y = 0.
-1, 1, 2
Suppose -4/9 + 2/9*p**2 - 2/9*p = 0. What is p?
-1, 2
Determine m, given that 370*m + 196*m**3 + 952*m**2 + 64 - 94*m - 92*m - 56*m**2 + 280*m = 0.
-4, -2/7
Let c(z) = 2*z**3 - 26*z**2 - 32*z - 16. Let i(y) = -y**3 + y**2. Let p(x) = -c(x) - 6*i(x). Determine o so that p(o) = 0.
-2, -1
Let h(t) be the second derivative of -t**6/75 + 9*t**5/50 - 3*t**4/5 - 332*t. Factor h(i).
-2*i**2*(i - 6)*(i - 3)/5
Let d(a) = a**3 - 6*a**2 + 2. Let z be d(6). Suppose 5 = -2*o - 5*b, -5*o + 5*b + 38 + 2 = 0. Find m, given that m**5 - m**z - m**2 - o*m**3 + 2*m**3 = 0.
-1, 0, 2
Let f(y) be the second derivative of y**4/3 - 17*y**3/2 - 13*y**2/2 + 19*y + 2. Let k be f(13). Factor 2/3*z**2 - 2/3*z**4 + 0 + 2/3*z**5 - 2/3*z**3 + k*z.
2*z**2*(z - 1)**2*(z + 1)/3
Let w(c) = 3 + 4 - 3 - 93*c**2 + 94*c**2 - 4*c. Let m be w(4). Factor 1 - 9/2*o**2 - 13/2*o**3 + 1/2*o - 5/2*o**m.
-(o + 1)**3*(5*o - 2)/2
Let w(k) be the second derivative of -k**5/20 + k**4/2 - 2*k**3 + 4*k**2 - 6*k. Let h(b) be the first derivative of w(b). Suppose h(p) = 0. What is p?
2
Let u(k) be the first derivative of k**6/2 + 12*k**5/5 - 12*k**4 - 64*k**3 - 878. Factor u(a).
3*a**2*(a - 4)*(a + 4)**2
Suppose -1 = f + 3*x, 5*f + x + x = 8. Let u = 13328 + -13328. Factor 1/4*k**f - 1/2*k + u.
k*(k - 2)/4
Let g(z) = 27*z**2 - 60*z + 38. Let d(o) = 28*o**2 - 60*o + 39. Suppose 0 = -33*p + 28*p - 30. Let r(q) = p*g(q) + 4*d(q). Factor r(b).
-2*(5*b - 6)**2
Let v(z) be the third derivative of z**9/22680 - z**8/5040 - z**7/3780 + z**6/540 + z**4/24 - 2*z**2. Let m(h) be the second derivative of v(h). Factor m(r).
2*r*(r - 2)*(r - 1)*(r + 1)/3
Suppose -b + 4*b = o + 5, -2*o = -8. Suppose -5*k - b = -23. Let j**4 - 4*j**2 - 6*j + j**2 + k*j = 0. What is j?
-1, 0, 2
Suppose 0 = 12766*o - 12732*o - 68. Factor -2/5*g + 1/5*g**o + 0.
g*(g - 2)/5
Let v(p) be the third derivative of -3*p**5/20 - p**4/2 - 2*p**3/3 - 308*p**2. Factor v(h).
-(3*h + 2)**2
Let w(f) be the first derivative of -2*f**3/7 + f**2 + 12*f/7 + 2. Find y, given that w(y) = 0.
-2/3, 3
Suppose 4*q - 13 + 5 = 0. Suppose 4 = q*x - 0. Suppose 1 + 1/2*y**x - 3/2*y = 0. What is y?
1, 2
Let q(m) = m**2 - m - 5. Let p(b) = -2*b**2 + 8. Let y(z) = z**2 - 4. Let a(c) = -3*p(c) - 5*y(c). Let x(j) = 5*a(j) - 4*q(j). Factor x(n).
n*(n + 4)
Let q(b) be the second derivative of -b**4/15 + 32*b**3/3 - 640*b**2 + 143*b. Suppose q(m) = 0. What is m?
40
Solve 1/4*g**2 - 18 + 17/2*g = 0 for g.
-36, 2
Let -4*b + 4/5*b**2 + 0 = 0. Calculate b.
0, 5
Let s be (-2)/4 + 7/2. Suppose -y + s*y = 8. Factor -y*p**3 + 0*p**3 - 3*p**4 + p + p**2 + 2*p**4 + 3*p**3.
-p*(p - 1)*(p + 1)**2
Find y, given that -2/5*y**3 - 32/5 - 1/5*y**4 + 12/5*y**2 + 8/5*y = 0.
-4, -2, 2
Let b = -78367/8 + 9796. Find w such that 1/8*w**3 - 3/8*w**2 + 3/8*w**4 + b*w**5 - 1/4*w + 0 = 0.
-2, -1, 0, 1
Let m(a) be the first derivative of 35*a**6/48 - 29*a**5/10 + 83*a**4/32 + 17*a**3/12 - 7*a**2/4 - a - 67. Determine t, given that m(t) = 0.
-2/5, -2/7, 1, 2
Let l = -901 - -18021/20. Let y(u) be the third derivative of -1/30*u**5 + 0 - l*u**7 + 29/240*u**6 + 0*u + 7*u**2 + 0*u**3 - 1/12*u**4. What is a in y(a) = 0?
-2/7, 0, 2/3, 1
Let u(r) = -6*r**4 - 117*r**3 - 510*r**2 - 693*r - 294. Let c(h) = h**4 + 17*h**3 + 73*h**2 + 99*h + 42. Let a(l) = 27*c(l) + 4*u(l). Factor a(d).
3*(d - 7)*(d + 1)**2*(d + 2)
Let d(m) be the third derivative of 1/15*m**5 + 0 + 0*m - 1/6*m**4 - 45*m**2 - 4/3*m**3. Factor d(x).
4*(x - 2)*(x + 1)
Let v(p) be the first derivative of 5*p**6/42 + 27*p**5/35 + 10*p**4/7 - 8*p**3/21 - 24*p**2/7 - 16*p/7 - 47. Factor v(x).
(x - 1)*(x + 2)**3*(5*x + 2)/7
Suppose -2*w - 4 = -4*n, -3*w + 2*n + n - 3 = 0. Find l, given that 2*l**3 - l**4 - 2*l - 2*l**3 + w*l**3 + 3*l**2 = 0.
-2, 0, 1
Suppose -2*t = -4*s, 5*t + 3*s - 26 = -0*t. Suppose 0 = -3*m + 19 - t. Determine z so that 2*z**4 + 3*z**2 - 4*z**4 + 2*z**3 + m*z**4 + 4*z**3 = 0.
-1, 0
Factor -19*q**2 - 5*q - q + 39*q**2 - 6*q - q**3 - 4*q**4 - 3*q**3.
-4*q*(q - 1)**2*(q + 3)
Suppose -2 + 7/6*w**4 - 23/6*w**2 + 1/2*w**3 - 16/3*w + 1/6*w**5 = 0. Calculate w.
-6, -1, 2
Let w be 9 - (0 - (-4 - -1)). Suppose -w = -3*n + 3. Factor -2*d**n + 2*d + 3*d**3 - d**2 - 2*d**3.
-d*(d - 1)*(d + 2)
Let s(c) = c**3 + 12*c**2 + 17*c - 126. Let v be s(-7). Factor 7/3*f - 1/3*f**2 + v.
-f*(f - 7)/3
Let o be 17 - (1 - 0)*-1. Suppose 0 = 4*d - g - o, 0 = -2*d + 4*d - 3*g - 14. Factor 3*u**2 - d*u**2 - 1 - 3*u**2 + 3*u**2 - 2*u.
-(u + 1)**2
Let p be ((-1)/(-2))/((-5)/100). Let m be p/((-2)/(-2 - (-14)/6)). Factor 2/3*u**2 + 0*u + u**3 + 0 - m*u**4.
-u**2*(u - 1)*(5*u + 2)/3
Let h(o) be the second derivative of o**6/15 + 3*o**5/20 - 143*o**4/96 + 11*o**3/8 - o**2/2 + 78*o. Factor h(c).
(c - 2)*(c + 4)*(4*c - 1)**2/8
Suppose 5*z + x = 318 + 55, 0 = z + 3*x - 69. Let s be 3 + (-4)/(-6) + (-215)/z. Factor -4/5*f**3 + s*f - 2/5*f**2 + 2/5*f**4 + 0.
2*f*(f - 2)*(f - 1)*(f + 1)/5
Let z be 38/6 - 7 - 200/(-84). Let h(p) be the first derivative of z*p**2 + 1/7*p**3 - 3 + 48/7*p. Factor h(v).
3*(v + 4)**2/7
Let p(q) = 17*q**2 - 90*q - 95. Let b be p(-1). Determine o so that -b*o + 0 + 9*o**3 - 42*o**2 + 21/2*o**5 + 69/2*o**4 = 0.
-2, -2/7, 0, 1
Let g = -10 + 14. Suppose t = 2*t - 2, g = d + 2*t. Factor -5*m**2 + 0*m**3 + d*m**2 - m**2 + 2*m**3.
2*m**2*(m - 3)
Let d(o) = -o**3 + 28*o**2 + 58*o + 63. Let q be d(30). Suppose 8/7*u**5 - 24/7*u**q + 0 + 4/