f = 0 for f.
-1, 0, 5/3
Let p(v) be the first derivative of -9/4*v**2 - 158 + 3/16*v**4 + 7/12*v**3 + 2*v. Factor p(j).
(j - 1)*(j + 4)*(3*j - 2)/4
Let p(n) be the first derivative of 4/5*n**5 + 64*n - 68/3*n**3 + 6*n**4 + 150 - 12*n**2. Find x, given that p(x) = 0.
-8, -1, 1, 2
Let d(x) be the second derivative of -x**7/210 - 7*x**6/75 + 8*x**5/25 - x - 465. Let d(j) = 0. What is j?
-16, 0, 2
Let p(y) = -2255*y**4 + 32*y + 18*y**2 + 26 + 36*y**3 + 2247*y**4 - 6*y. Let r(t) = t**4 - 4*t**3 - 2*t**2 - 3*t - 3. Let i(l) = -6*p(l) - 52*r(l). Factor i(g).
-4*g**2*(g + 1)**2
Let u = 224 + -221. Suppose -144 + 53*v**3 + 456*v - 72*v**3 - 128*v**u - 273*v**2 = 0. What is v?
-3, 4/7
Let -1/3*p**4 + 0 - 926/3*p**2 - 63*p**3 - 368*p = 0. Calculate p.
-184, -3, -2, 0
Let v(k) be the third derivative of 0 - 1/60*k**5 + 0*k - 120*k**2 - 3/4*k**4 + 0*k**3. Factor v(m).
-m*(m + 18)
Find c such that -3/2*c**2 - 495/2 - 249*c = 0.
-165, -1
Let m(s) = 19 - 30*s - 2*s**2 + 20*s**2 - 1 - 2*s**2 + 6*s**2. Let w(x) = -2*x**2 + 1. Let h(n) = -m(n) - 10*w(n). Factor h(f).
-2*(f - 14)*(f - 1)
Let x(v) = -8*v - 36. Let r be x(-15). Suppose -4*y**3 + r*y + 80*y**2 + 371937 - 371937 = 0. What is y?
-1, 0, 21
Let h(n) be the second derivative of n**7/189 - 16*n**6/135 + 10*n**5/9 - 152*n**4/27 + 448*n**3/27 - 256*n**2/9 - 883*n. Find y, given that h(y) = 0.
2, 4
Let r(c) = -32*c**3 + 333*c**2 - 512*c - 2802. Let s(u) = 20*u**3 - 208*u**2 + 320*u + 1752. Let d(h) = 12*r(h) + 19*s(h). Factor d(x).
-4*(x - 7)*(x - 6)*(x + 2)
Let x(k) be the second derivative of 35*k + 0 - 5/36*k**4 - 1/180*k**5 - 27/2*k**2 + 0*k**3. Let u(v) be the first derivative of x(v). Factor u(i).
-i*(i + 10)/3
Let b(j) be the first derivative of j**5/4 - 5*j**4/2 - j + 47. Let r(n) be the first derivative of b(n). What is i in r(i) = 0?
0, 6
Suppose p + 2*p - 6*p = 0. Let c(r) = -r**2 - r + 5. Let v be c(p). Factor -v + 8 + 4*u**4 - 8*u**3 - 3 + 4*u**2.
4*u**2*(u - 1)**2
Suppose 5*q + 5*s = 2*s + 6, s = 5*q + 2. Suppose -2*l + q*g - 4*g = -12, 0 = 2*l - 3*g + 2. Solve -1/2 - 1/4*w + 1/2*w**l + 1/4*w**3 = 0 for w.
-2, -1, 1
Let i be (8/6)/((-44)/(-165)). Suppose -3*f - 28 = -c + 142, 765 = 4*c + i*f. Factor 120 + 2325*x**3 + 357*x**2 + 2073*x**2 + 924*x + c*x**4 + 190*x**4.
3*(x + 5)*(5*x + 2)**3
Let l be (0 - -7)*(1 - 0). Let r(j) = 7*j**2 + 11*j + 36. Let s(i) = -9*i**2 - 12*i - 37. Let g(x) = l*r(x) + 6*s(x). Factor g(v).
-5*(v - 3)*(v + 2)
Suppose -4*h + 15 = -o, 4*h - h + 3 = -4*o. Let s be (-8)/((-1)/(((-18)/6)/(-12))). What is d in -35*d**2 + 16*d**2 - 3*d**h + 18*d**s = 0?
-1/3, 0
Let n = 177 - 172. Let s = -64 - -96. Let -24*t**3 + 593*t**4 - 12*t + s*t**2 + 4*t**n - 593*t**4 = 0. Calculate t.
-3, 0, 1
Let v(j) = -j**2 + j + 14. Let w be v(-3). Let u(p) be the first derivative of 0*p**w + 0*p + 3/5*p**4 + 0*p**5 + 28 - 8/15*p**6 - 4/15*p**3. Factor u(o).
-4*o**2*(o + 1)*(2*o - 1)**2/5
Let f(z) be the second derivative of 507*z**7/49 + 1469*z**6/35 - 7837*z**5/35 - 5822*z**4/7 + 3704*z**3/21 - 96*z**2/7 - 12542*z. Let f(x) = 0. Calculate x.
-4, -2, 2/39, 3
Let x(y) be the third derivative of y**5/300 + 7*y**4/15 - 1630*y**2. Factor x(d).
d*(d + 56)/5
Let g be (-7 + 8/1)*(1 - 0). Let h(b) = -2*b**2 + b - 1. Let x(u) = u**2 - 43*u + 48. Let w(d) = g*x(d) + 3*h(d). Factor w(t).
-5*(t - 1)*(t + 9)
Let u(g) = -g**3 - 6*g**2 + 22*g - 2028. Let p be u(-16). Determine f so that -114*f - 64/5*f**2 - p - 2/5*f**3 = 0.
-15, -2
Let d be 50/425 + 49568/(-255). Let h = -194 - d. Factor -2/5*t + h*t**2 + 0.
2*t*(2*t - 3)/15
Find k such that 12/5*k**2 + 2096/5 + 1588/5*k = 0.
-131, -4/3
Find s, given that -2/13*s**5 - 30/13*s**2 + 6/13*s**4 + 14/13*s**3 + 0 - 36/13*s = 0.
-2, -1, 0, 3
Let g(n) = n**3 + n**2 + 2*n + 2. Let h be g(0). Suppose -h*m - 42 = -46. Factor 0*l + 1/6*l**m - 1/6.
(l - 1)*(l + 1)/6
Let i be 10 + (-3)/((-3)/(6 - 130/10)). Suppose 6/5*l + 4/5 - 2/5*l**i + 0*l**2 = 0. Calculate l.
-1, 2
Let u be 3/(-49)*(-302 - -274). Let 3/7*x**3 - 3/7*x**2 - 12/7*x + u = 0. Calculate x.
-2, 1, 2
Let c(j) be the first derivative of 2*j**3/3 - 1338*j**2 + 895122*j - 7494. What is x in c(x) = 0?
669
Suppose -70 = -12*m + 5*m. What is b in 10*b**4 - 2*b**4 + 19*b**3 - 4*b**3 - m*b**2 - 5*b**4 - 8*b**4 = 0?
0, 1, 2
Let d(s) = -s**2 - 36*s + 11. Let h(f) = 12*f - 4. Let m = 6 + 9. Suppose 4*c = 29 + m. Let n(p) = c*h(p) + 4*d(p). Factor n(v).
-4*v*(v + 3)
Let p(x) be the first derivative of -14*x**5/5 + 71*x**4/2 - 24*x**3 - 284*x**2 + 512*x + 8625. Find j, given that p(j) = 0.
-2, 1, 2, 64/7
Let y = -58721 - -117447/2. Factor -37/4*c**2 + 0 + y*c - 3/4*c**4 + 11/2*c**3.
-c*(c - 5)*(c - 2)*(3*c - 1)/4
Let l(z) be the second derivative of z**4/78 - 85*z**3/13 + 1004*z**2/13 + 174*z - 14. Determine a so that l(a) = 0.
4, 251
Suppose 4*h = -b - 103, -54 + 248 = -2*b + 4*h. Let m = b + 99. Factor m*v - 200/7*v**2 + 0 - 2/7*v**4 - 40/7*v**3.
-2*v**2*(v + 10)**2/7
Let j be 5 - (-71 + (5 - 1))*1. Let g be (((-1140)/j)/(-19))/((-2)/(-8)). Solve -25/6*q - g*q**2 - 5/3 - 5/6*q**3 = 0.
-2, -1
Let d be -5*24/40*-1. Let w(s) = -s**2 + 106*s - 306. Let b be w(d). Let -3/2*n + 1/2*n**4 + 1/2 - n**2 - 3/2*n**5 + 3*n**b = 0. What is n?
-1, 1/3, 1
Let f(z) be the second derivative of 2*z**6/15 - 3*z**5/5 - 11*z**4/3 + 2*z**3 + 20*z**2 + z + 751. Solve f(l) = 0 for l.
-2, -1, 1, 5
Let c be (-2 + 1)/((-3695)/5173). Solve 2/5 + c*x**2 + 2/5*x**3 + 7/5*x = 0.
-2, -1, -1/2
Let m(r) be the second derivative of -1/45*r**5 - 2/9*r**3 + 0 + 0*r**2 - 13/54*r**4 - 44*r. Factor m(l).
-2*l*(l + 6)*(2*l + 1)/9
Let g(j) be the second derivative of -j**4/6 - 94*j**3/3 - 93*j**2 + 2*j - 81. Let g(m) = 0. What is m?
-93, -1
Let k be (-227)/908*(-1)/11. Let s(u) be the third derivative of 1/660*u**5 + 0*u + 20*u**2 + 5/66*u**3 - k*u**4 + 0. Factor s(z).
(z - 5)*(z - 1)/11
Let t = -2047 + 38867/19. Let f = 206/95 + t. What is u in 32/5*u**3 - 16/5*u - 16/5*u**5 - 4/5 - f*u**4 + 8/5*u**2 = 0?
-1, -1/4, 1
Suppose 4*j - 7*y = 7*j - 75, -61 = -4*j - 5*y. Factor 15/2*x**3 + 5/2*x**j - 15/2*x + 5/2*x**2 - 5.
5*(x - 1)*(x + 1)**2*(x + 2)/2
Let q(w) be the second derivative of -9*w**5/20 - 7*w**4/24 - 71*w - 8. Factor q(k).
-k**2*(18*k + 7)/2
Let 1/3*b**2 + 40 + 34/3*b = 0. What is b?
-30, -4
Solve 27/2*v**2 + 45/2 + 48*v = 0 for v.
-3, -5/9
Let v(y) be the first derivative of y**3/3 + 9*y**2/2 - 36*y + 1399. Factor v(f).
(f - 3)*(f + 12)
Suppose 0 = 23912*f - 23913*f - y + 2, 4*f - 4*y + 8 = 0. Suppose 23/3*d**3 - 1/3*d**5 + f + 4*d**2 + 0*d + 10/3*d**4 = 0. What is d?
-1, 0, 12
Let i(t) = -5*t**3 - 65*t**2 - 222*t - 150. Let z(r) = -335*r**3 - 4355*r**2 - 14875*r - 10045. Let o(n) = -135*i(n) + 2*z(n). Factor o(b).
5*(b + 1)*(b + 4)*(b + 8)
Let p(r) be the second derivative of 4*r**6/3 + 21*r**5 + 2405*r**4/24 + 175*r**3/2 + 125*r**2/4 + 2*r + 14. Factor p(z).
5*(z + 5)**2*(4*z + 1)**2/2
Solve 14 - 9/5*j - 1/5*j**2 = 0.
-14, 5
Let q(c) be the second derivative of -c**6/75 - c**5/5 + 4*c**4/5 + 3000*c. Find d, given that q(d) = 0.
-12, 0, 2
Let x = -2/8017 + 801706/24051. Let q(h) be the first derivative of 3 + 14*h**2 + 2*h + 769/8*h**4 + 92*h**5 + 301/6*h**3 + x*h**6. Let q(d) = 0. Calculate d.
-1, -2/5, -1/4
Let v(b) be the third derivative of -5/6*b**4 + 20/3*b**3 + 2/21*b**7 + 0 + 7*b**2 + 0*b + 1/24*b**6 + 5/336*b**8 - 5/6*b**5. Factor v(o).
5*(o - 1)**2*(o + 2)**3
Let l(a) be the first derivative of 2*a**5/5 - 9*a**4 + 2*a**3/3 + 252*a**2 + 680*a + 176. Determine x, given that l(x) = 0.
-2, 5, 17
Let o(b) = -25*b**4 - 15*b**3 + 11*b**2 + b + 2. Let s(g) = g**2 + g - 1. Let y = -115 - -117. Let c(p) = y*s(p) + o(p). Factor c(j).
-j*(j + 1)*(5*j - 3)*(5*j + 1)
Let i(o) = -6*o**2 - 13*o + 10. Let b(j) be the second derivative of 7*j**4/12 + 5*j**3/2 - 5*j**2 - 4*j + 5. Let y(u) = 5*b(u) + 6*i(u). Factor y(g).
-(g - 2)*(g + 5)
Let g(r) be the third derivative of r**5/20 - 107*r**4/8 + 21*r**2 - 14*r - 1. Factor g(n).
3*n*(n - 107)
Factor -966048*b - 968832 - 1/2*b**4 + 694*b**3 - 239426*b**2.
-(b - 696)**2*(b + 2)**2/2
Let w(n) be the first derivative of -n**6/18 + n**5/5 + 13*n**4/12 - 47*n**3/9 + 8*n**2 - 16*n/3 + 1136. Let w(l) = 0. Calculate l.
-4, 1, 4
Let v(p) be the third derivative of p**5/20 + 357*p**4/8 - 228*p**2 - 3*p. Determine r so th