-2/3*p**3 + 1/12*p**5 + 0 + 1/24*p**4 + 0*p - 5*p**2. Solve h(f) = 0.
-1, 4/5
Let n(q) be the first derivative of q**6/57 - 14*q**5/19 + 355*q**4/38 - 1730*q**3/57 + 800*q**2/19 - 512*q/19 - 143. Factor n(f).
2*(f - 16)**2*(f - 1)**3/19
Let t(d) be the first derivative of 4*d**3/3 - 94*d**2 + 360*d + 139. Suppose t(n) = 0. What is n?
2, 45
Let q = 4203/4 + -1050. What is d in 0*d + 0 + 0*d**2 + q*d**4 + 3/4*d**3 = 0?
-1, 0
Let t(j) be the second derivative of -1/15*j**5 - 1/18*j**4 + 0*j**3 - 15*j - 1/45*j**6 + 0*j**2 + 0. What is s in t(s) = 0?
-1, 0
Let p = 91 - 89. Factor -7*v**2 + 9*v**2 + 2*v + 0*v**p.
2*v*(v + 1)
Solve 0 - 24/7*j**2 - 2/7*j**4 - 16/7*j**3 + 0*j = 0.
-6, -2, 0
Let n(v) be the first derivative of -2/13*v**2 + 39 + 10/39*v**3 - 2/13*v**4 + 2/65*v**5 + 0*v. Let n(o) = 0. Calculate o.
0, 1, 2
Let s = 7 - -1. Suppose -64 = -b - b. Find z, given that 8 + 16*z**5 - s*z**2 - 9*z - b*z**3 + 25*z - 14 + 4*z**4 + 10 = 0.
-1, -1/4, 1
Let k = -784 - -787. Let c(a) be the second derivative of 3*a + 0 + 1/6*a**4 + 3*a**2 + 4/3*a**k. Factor c(b).
2*(b + 1)*(b + 3)
Let i(v) be the first derivative of -3*v**4/4 + 13*v**3 - 105*v**2/2 - 147*v - 74. Determine q so that i(q) = 0.
-1, 7
Let r(t) = -t**4 - 6*t**3 - 24*t**2 - 21*t + 27. Let g(i) = -2*i**4 - 10*i**3 - 36*i**2 - 32*i + 40. Let l(z) = -5*g(z) + 8*r(z). Factor l(m).
2*(m - 2)*(m - 1)*(m + 2)**2
Let i(t) = 56*t**3 - 3*t**2 + 3*t - 1. Let v be i(2). Factor -4*j**2 - 2*j**4 - 8*j + v*j**3 + 10*j**2 - 8 - 437*j**3.
-2*(j - 2)**2*(j + 1)**2
Suppose -3*n + 5*a = -11, 0 = -5*n + 4*a + 2 + 12. Factor -7*q + 2*q**2 - 3*q + 0*q**n + 2*q.
2*q*(q - 4)
Let f(d) be the first derivative of d**6/27 + 2*d**5/9 - d**4/18 - 10*d**3/27 - 192. Solve f(u) = 0.
-5, -1, 0, 1
Let q be (-64)/(-192)*(-3 + 3). Suppose -2/13*t**5 + 0*t**4 - 2/13*t + 4/13*t**3 + q + 0*t**2 = 0. Calculate t.
-1, 0, 1
Let w = 718/1059 + -4/353. Find z such that 0*z**2 - 2/3*z**3 + 0 + 0*z - w*z**4 = 0.
-1, 0
Determine s so that 2*s**3 - 55*s**2 + 30*s - 57*s + 3*s**3 + 120 - 43*s = 0.
-2, 1, 12
Let 27*n**3 - 29*n**3 - 164*n - 78*n - 16*n**2 + 43*n**2 + 17*n**2 = 0. Calculate n.
0, 11
Suppose i - 701 = -b - 2*b, -b + 219 = 4*i. Factor -260*h**2 + 10*h**4 - 18*h + b*h**4 + 96*h**3 - 22*h - 446*h**3.
5*h*(h - 2)*(7*h + 2)**2
Let c(j) = j**2 - j - 4. Let v be c(3). Suppose 0*i = -5*i + a + 11, i - v*a = 4. Factor 6*m**i + 2*m**3 + 8 + 16*m + 2*m**2 + 2*m**2.
2*(m + 1)*(m + 2)**2
Let f = 30 + -9. Factor -4 - 14*s + 10 - f*s + 20*s**2 - 16.
5*(s - 2)*(4*s + 1)
Let t = -47 + 49. Let d(g) be the third derivative of 12*g**t + 5/2*g**3 + 0*g - 1/20*g**5 + 0 - 1/2*g**4. Let d(n) = 0. Calculate n.
-5, 1
Let j(b) be the third derivative of 0*b**6 - 1/36*b**4 + 0*b + 15*b**2 - 1/60*b**5 + 0 + 0*b**3 + 1/630*b**7. Let j(z) = 0. Calculate z.
-1, 0, 2
Let h be (22/(-24))/(3/(-472)). Let g = h + -144. Factor 4/9 - 2/9*u**2 - g*u.
-2*(u - 1)*(u + 2)/9
What is y in 32 + 222/7*y - 2/7*y**2 = 0?
-1, 112
Suppose -3*a - 57 = 2*j - 0*j, -4*a - 3*j = 76. Let y = a - -24. Solve -y*x**4 - 3*x**2 + 9*x**4 - x**2 = 0 for x.
-1, 0, 1
Suppose -174*q**2 + 269*q + 750 + 306*q - 112*q**2 + 4*q**3 - 19*q**3 + 91*q**2 + 5*q**4 = 0. What is q?
-6, -1, 5
Let h be ((-5)/4)/(1/(-4)). Suppose h*n + 3*v - 32 + 10 = 0, -3*n = -2*v + 2. Factor 13 - 13 + 9*y**n - 3*y**4 - 6*y.
-3*y*(y - 1)**2*(y + 2)
Let x be 1/1 - (-3 + -1 - -1). Let c(j) be the second derivative of 6/5*j**6 + 4*j + 0 - 23/12*j**x + 3/2*j**3 - 1/2*j**2 + 3/20*j**5. Let c(b) = 0. What is b?
-1, 1/4, 1/3
Let r = -13174 + 39523/3. Find h, given that 1/3*h**3 - r*h + 0*h**2 + 0 = 0.
-1, 0, 1
Suppose -z = -5*b + 8, -8 = b + 2*z + z. Let i = b - -1. Determine v so that 3*v - 3*v**2 + 3*v**4 + i*v - 5*v = 0.
-1, 0, 1
Let h = -44 - -47. Solve -2*f + 2*f + h*f**5 - 6*f**2 - 6*f**3 - 3*f**3 = 0 for f.
-1, 0, 2
What is x in -300/7*x**3 + 206/7*x**4 - 44/7*x**5 - 16/7*x + 0 + 136/7*x**2 = 0?
0, 2/11, 1/2, 2
Let c(w) be the second derivative of w**6/10 - 153*w**5/20 + 99*w**4/4 - 49*w**3/2 + 342*w. Factor c(q).
3*q*(q - 49)*(q - 1)**2
Let 0 + 6*v**3 + 2*v**4 + 28/11*v + 2/11*v**5 + 74/11*v**2 = 0. Calculate v.
-7, -2, -1, 0
Let w(c) be the first derivative of -3*c**5/20 - c**4 - 2*c**3 + 8*c + 4. Let i(m) be the first derivative of w(m). Let i(l) = 0. What is l?
-2, 0
Let p = 27 - 23. What is n in 3*n - 13*n + 2*n + p*n**2 + 20*n**5 + 36*n**3 - 52*n**4 = 0?
-2/5, 0, 1
Suppose 3*r = 11 + 1. Let q be (r/14)/(28/49). Factor 0 + q*c**2 + c.
c*(c + 2)/2
Factor -2/11*d**2 - 16/11 - 18/11*d.
-2*(d + 1)*(d + 8)/11
Suppose -8 = 15*c - 19*c. Let x(n) be the second derivative of 7*n - 1/10*n**4 + 2/5*n**c + 0 + 1/3*n**3. Let x(b) = 0. What is b?
-1/3, 2
Let p be 75/(-6)*(-4)/10. Suppose p*o + 4 = d, -5*d + o - 2*o = -46. Let 4*c + 5*c**3 + 16*c**4 + 0*c**2 - d*c**3 - 16*c**2 = 0. Calculate c.
-1, 0, 1/4, 1
Determine m so that 21*m**2 - 1/2*m**3 - 484 - 198*m = 0.
-2, 22
Factor 2*g - 1/2*g**3 - 1/2*g**4 + 0 + 2*g**2.
-g*(g - 2)*(g + 1)*(g + 2)/2
Let b(k) = -2*k - 9. Suppose 50 = -5*a - 5*q, -2*a + 0*a - 4*q = 28. Let i be b(a). Factor -3*d**i - 3*d + 3*d**2 + d + 8*d.
-3*d*(d - 2)*(d + 1)
Let i(h) be the third derivative of -h**7/420 - h**6/120 + 7*h**5/40 - 3*h**4/8 + 389*h**2. Factor i(u).
-u*(u - 3)*(u - 1)*(u + 6)/2
Let i(w) be the first derivative of -w**8/840 + 7*w**6/300 + w**5/25 - 22*w**2 + 42. Let k(r) be the second derivative of i(r). Suppose k(y) = 0. Calculate y.
-2, -1, 0, 3
Suppose -5*z + 17 - 2 = 0. Let v be (5 + -4 + 2)/(z/2). Factor 2/5*q + 6/5*q**3 - 2/5*q**4 - 6/5*q**v + 0.
-2*q*(q - 1)**3/5
Let a(g) be the first derivative of g**6/51 + 12*g**5/85 + 4*g**4/17 - 32*g**3/51 - 48*g**2/17 - 64*g/17 - 82. Factor a(m).
2*(m - 2)*(m + 2)**4/17
Find v, given that -3/7 + 1/7*v**2 + 2/7*v = 0.
-3, 1
Let b(m) be the third derivative of m**7/168 + m**6/18 + m**5/6 - 10*m**3/3 + 18*m**2. Let t(a) be the first derivative of b(a). Determine i so that t(i) = 0.
-2, 0
Factor 4/7*y**4 + 972/7*y + 12*y**3 + 0 + 540/7*y**2.
4*y*(y + 3)*(y + 9)**2/7
Let x(g) be the third derivative of -g**5/90 - 4*g**4/3 + 49*g**3/9 - 151*g**2 + 2*g. Factor x(b).
-2*(b - 1)*(b + 49)/3
Let f(o) = -o**2 + 4*o + 3. Let t = 38 + -67. Let p = t + 23. Let v(r) = 6*r**2 - 21*r - 16. Let w(i) = p*v(i) - 33*f(i). Factor w(c).
-3*(c + 1)**2
Let h = 2982 - 2982. Let 1/5*s**3 + h*s - 1/5*s**2 + 0 = 0. Calculate s.
0, 1
Let n(g) = -g**2 - 2*g + 9. Let k(t) = -t + 1. Let j(b) = 5*k(b) - n(b). What is l in j(l) = 0?
-1, 4
Let y(h) = -h**2 + 2*h**2 - 2*h**2 - h. Let o(f) be the first derivative of -13*f**3/3 - 9*f**2/2 + 127. Let b(n) = -2*o(n) + 22*y(n). Factor b(c).
4*c*(c - 1)
Let g(l) be the third derivative of -l**5/15 + 35*l**4/72 + 13*l**3/18 - 30*l**2. Factor g(o).
-(3*o + 1)*(4*o - 13)/3
Let x(o) = -o**3 + 62*o**2 + 68*o - 313. Let q be x(63). Find v, given that 1/2*v - 5/2*v**3 + 3/2*v**4 + 0 + 1/2*v**q = 0.
-1/3, 0, 1
Let i(q) be the first derivative of 16*q**5/35 - 3*q**4/7 - 16*q**3/3 - 6*q**2/7 + 72*q/7 + 886. Solve i(h) = 0 for h.
-2, -1, 3/4, 3
Let f be 194/2231 - (-172)/138. Let s(c) be the first derivative of -f*c - 1/6*c**4 + 8 + c**2 + 0*c**3. Factor s(z).
-2*(z - 1)**2*(z + 2)/3
Let a be (-11)/(-22) - 4/8. Factor a*h**2 + 0 + 0*h - 4/3*h**4 - 8/3*h**3.
-4*h**3*(h + 2)/3
Let k(u) be the first derivative of -18*u**5/11 + u**4/22 + 94*u**3/33 - u**2/11 - 4*u/11 + 196. Suppose k(h) = 0. What is h?
-1, -1/5, 2/9, 1
Let u(c) be the second derivative of -1/25*c**5 + 0 + 2*c + 0*c**2 - 4/15*c**3 - 1/5*c**4. Determine d, given that u(d) = 0.
-2, -1, 0
Let l(h) be the third derivative of h**8/336 - 8*h**7/315 + 4*h**6/45 - h**5/6 + 13*h**4/72 - h**3/9 - 336*h**2 + 1. Let l(w) = 0. What is w?
1/3, 1, 2
Let p(n) be the third derivative of -n**5/240 + n**4/16 - n**3/3 - 13*n**2 + n. Factor p(q).
-(q - 4)*(q - 2)/4
Let g(i) = -2*i**3 + 40*i**2 - 6*i + 18. Let x(s) = -3*s**3 + 80*s**2 - 11*s + 33. Let u(j) = -11*g(j) + 6*x(j). Solve u(h) = 0.
-10, 0
Let v = 278/5 + -829/15. Let h(y) be the first derivative of 3 - v*y**6 - 3*y**4 - y**2 + 0*y + 8/5*y**5 + 8/3*y**3. Factor h(g).
-2*g*(g - 1)**4
Determine a so that 0*a - 216/7 + 2/7*a**3 + 18/7*a**2 = 0.
-6, 3
Let c(n) be the third derivative of 0*n - 1/18*n**3 + 1/1260*n**7 + 1/48*n**4 + 1/360*n**5 + 24*n**