2 - 2/5 - 2/5*x**5 - 2/5*x**4 + 4/5*x**j - 2/5*x = 0.
-1, 1
Let u = 33934 - 33934. Factor 0*t + 5/4*t**3 - 5/4*t**2 + 5/4*t**4 + u - 5/4*t**5.
-5*t**2*(t - 1)**2*(t + 1)/4
Let f(k) be the second derivative of -k**5/130 + k**4/39 + 31*k**3/39 + 28*k**2/13 - 122*k. What is b in f(b) = 0?
-4, -1, 7
Let q(z) be the first derivative of 2*z**5/35 + z**4/7 - 2*z**3/7 + 1086. Find c such that q(c) = 0.
-3, 0, 1
Suppose -84 = 3*y - 7*y. Factor 8*r**2 - y*r + 20*r**3 + 21*r.
4*r**2*(5*r + 2)
Let k(j) = j**2 + 8*j - 6. Let m be k(-9). Suppose -3*a + 0*p + 4*p + 27 = 0, m*a = 5*p + 30. Solve -x**4 - x**4 - x**a + 2*x**5 + x**3 = 0.
0, 1
Let x(c) be the first derivative of -35 + 1/20*c**4 - 4/5*c**2 + 0*c - 7/15*c**3. Find m, given that x(m) = 0.
-1, 0, 8
Let y(w) be the first derivative of w**4/54 + 14*w**3/27 + 49*w**2/9 + 39*w - 24. Let m(z) be the first derivative of y(z). Let m(l) = 0. Calculate l.
-7
Let w = -11 - -13. Suppose 3*l + w = -0*d - 2*d, d - 4 = -4*l. Factor -22 - 5*o**2 - l*o**2 + 4*o**3 + 23 + 2*o.
(o - 1)**2*(4*o + 1)
Let s(m) be the first derivative of -4*m - 1/36*m**4 + 3 - 1/6*m**2 - 1/9*m**3. Let c(x) be the first derivative of s(x). Factor c(i).
-(i + 1)**2/3
Let z(v) = 21*v**3 - 21*v + 11. Let j be (-28)/6 + (-2)/(-3). Let g(x) = -3*x**3 - 311 - 4*x + 313 + 7*x**3. Let b(k) = j*z(k) + 22*g(k). Factor b(l).
4*l*(l - 1)*(l + 1)
Let r be (0 - (-2138)/(-9))/(5999/28). Let s = 2/857 - r. Factor -2/9 - 8/9*p - 4/9*p**3 - s*p**2.
-2*(p + 1)**2*(2*p + 1)/9
Let d = -4366 - -34955/8. Factor -3/2 + d*a - 9/4*a**2 + 3/8*a**3.
3*(a - 4)*(a - 1)**2/8
Let p = -6 - -11. Let d(y) be the second derivative of 0*y**4 - 1/147*y**7 + 0*y**3 - 1/70*y**p + 2/105*y**6 + 0 + 0*y**2 - 3*y. Factor d(s).
-2*s**3*(s - 1)**2/7
Let j(b) be the first derivative of 4*b**5/5 - 24*b**4 - 68*b**3 - 52*b**2 + 3. What is a in j(a) = 0?
-1, 0, 26
Suppose -13*y + 10*y + 5*g + 31 = 0, 0 = 2*y + g + 1. Let r be (-228)/(-42) - (y - -3). Factor 12/7*d + r*d**2 + 12/7.
3*(d + 2)**2/7
Let l be ((-8)/(-64))/((-240)/(-56)). Let k(f) be the third derivative of -l*f**5 + 1/24*f**3 + 8*f**2 - 1/120*f**6 + 0 + 0*f - 1/48*f**4. Factor k(j).
-(j + 1)**2*(4*j - 1)/4
Suppose 0 = -4*t + 5*s - 35 + 30, -2*s = 5*t - 2. Let j(p) be the third derivative of p**2 + 0*p**3 + 0*p + t + 0*p**4 + 1/60*p**6 - 1/30*p**5. Factor j(i).
2*i**2*(i - 1)
Let h(k) be the first derivative of -k**6/6 - 4*k**5/5 + 3*k**4 + 22*k**3/3 - 59*k**2/2 + 30*k - 82. Let h(l) = 0. What is l?
-5, -3, 1, 2
Suppose -11 = -3*r + 2*x, -3*r + 2*x - 4 = -3*x. Suppose -w - r*m - 23 = -2*m, 2*m + 16 = 3*w. Factor -5*g - 2 - 2*g**2 - g - w.
-2*(g + 1)*(g + 2)
Let h(k) be the third derivative of k**10/25200 - k**9/12600 - k**8/2800 + k**4/6 - 6*k**2. Let q(t) be the second derivative of h(t). Factor q(a).
6*a**3*(a - 2)*(a + 1)/5
Let m(z) be the second derivative of -z**4/20 - 7*z**3/5 - 147*z**2/10 + 146*z. Factor m(w).
-3*(w + 7)**2/5
Let o be (-20)/(-5) + (-3 - 5/(19 - -6)). Factor -1/5*n**2 + 1/5*n**4 + o*n**3 + 0 - 4/5*n.
n*(n - 1)*(n + 1)*(n + 4)/5
Let -4015*d**2 - 3614*d**2 - 104*d**4 - 2*d**5 - 15488*d - 3769*d**2 + 2246*d**2 - 1704*d**3 = 0. Calculate d.
-22, -4, 0
Suppose v + 5*j + 0*j - 11 = 0, 5*v + 4*j = 13. Suppose 3 + v = t. Solve t*p**5 - p**4 + 20*p**2 - 12*p**3 - 3*p**4 - 8*p + 0*p**4 = 0.
-2, 0, 1
Let s(v) be the second derivative of 1/30*v**5 - 5*v + 0*v**2 - 1/2*v**3 + 0 + 0*v**4 - 1/60*v**6. Let a(u) be the second derivative of s(u). Factor a(z).
-2*z*(3*z - 2)
Let l be (-2 - 1) + -2 + 294/57. Let q = 28/57 - l. Factor -w + q*w**2 + 0.
w*(w - 3)/3
Let j(r) be the first derivative of r**4/4 - 31*r**3/9 - 23*r**2/6 + 11*r/3 - 126. Factor j(q).
(q - 11)*(q + 1)*(3*q - 1)/3
Suppose 11*w + 3 = 12*w. Suppose -4 = -p - 0*x + 4*x, 0 = 4*p - 3*x - w. Factor p - 2/11*b**5 + 0*b + 0*b**4 + 2/11*b**3 + 0*b**2.
-2*b**3*(b - 1)*(b + 1)/11
Let v(z) = 0*z - 4*z + 3*z + 7*z**2 - 10. Let a(p) = -36*p**2 + 6*p + 51. Let s(c) = -4*a(c) - 21*v(c). Factor s(b).
-3*(b - 1)*(b + 2)
Solve -19/3 + 1/12*v**2 - 25/4*v = 0.
-1, 76
Let a(b) be the first derivative of 0*b**2 + 0*b - 10/3*b**3 - 15 - 5/4*b**4 + 2*b**5 + 5/6*b**6. Factor a(s).
5*s**2*(s - 1)*(s + 1)*(s + 2)
Let h(o) be the second derivative of -o**6/900 + o**5/75 - o**4/20 - 25*o**3/6 + 31*o. Let b(i) be the second derivative of h(i). Factor b(z).
-2*(z - 3)*(z - 1)/5
Let c be (-3)/(-30)*1808/156. Let d = c + -14/39. Factor -d + 2*p**2 + 6/5*p.
2*(p + 1)*(5*p - 2)/5
Factor 0 - 8/5*l - 2/15*l**3 - 16/15*l**2.
-2*l*(l + 2)*(l + 6)/15
Let x = -3001 + 3004. Factor 0*g + 0 + 1/3*g**4 - 2/3*g**x + 1/3*g**2.
g**2*(g - 1)**2/3
Let 3/4*m**2 + 0*m + 0 = 0. Calculate m.
0
Let u(h) be the third derivative of 0*h - 1/120*h**5 + 1/240*h**6 - 1/48*h**4 + 1/12*h**3 - 6*h**2 + 0. Factor u(b).
(b - 1)**2*(b + 1)/2
Let y(p) be the first derivative of -p**7/35 + 9*p**5/50 - p**4/5 + 39*p + 1. Let j(c) be the first derivative of y(c). Suppose j(f) = 0. Calculate f.
-2, 0, 1
Let n(o) be the third derivative of o**7/42 + 7*o**6/24 + 17*o**5/12 + 85*o**4/24 + 5*o**3 - 29*o**2. Find q, given that n(q) = 0.
-3, -2, -1
Let t(n) be the second derivative of -2*n**6/15 - 4*n**5/5 - n**4 + 8*n**3/3 + 8*n**2 + 155*n. Factor t(r).
-4*(r - 1)*(r + 1)*(r + 2)**2
Let 70 + q**4 - 6*q**4 - 65*q**2 + 1665*q**3 - 1710*q**3 + 45*q = 0. What is q?
-7, -2, -1, 1
Let z(n) = -n**3 + 7*n**2 + 20*n. Let m be z(9). Factor 1 - 120*u - 2 - 290*u**3 + 300*u**2 + 6 + 120*u**4 - m*u**5 + 11.
-2*(u - 2)**3*(3*u - 1)**2
Let f(n) be the second derivative of -n**8/140 - n**7/21 + 23*n**6/240 - 3*n**5/40 - n**4/4 + 20*n. Let q(c) be the third derivative of f(c). Factor q(p).
-3*(p + 3)*(4*p - 1)**2
Let g(v) = -v**2 - 2*v + 2. Let c(k) = -13*k**2 + 30*k. Let l(x) = 3*c(x) - 12*g(x). Find m such that l(m) = 0.
2/9, 4
Suppose -114*h**2 + 23*h - 4*h**3 + 49*h - 28*h**2 = 0. Calculate h.
-36, 0, 1/2
Let g(s) be the second derivative of s**7/12600 + 7*s**4/12 + 20*s. Let r(i) be the third derivative of g(i). Factor r(w).
w**2/5
Let i = -6328/3 - -2111. Let s(m) be the first derivative of 0*m + i*m**3 + 5/2*m**4 + 0*m**2 + 2 + m**5. Let s(a) = 0. What is a?
-1, 0
Let f(d) be the second derivative of -d**4/72 - 19*d**3/36 - 80*d. Find m such that f(m) = 0.
-19, 0
Factor 8/9*z**2 + 0*z**3 + 0*z - 2/3*z**4 - 2/9*z**5 + 0.
-2*z**2*(z - 1)*(z + 2)**2/9
Let w = 7 + -21. Let u = w - -21. Factor u*z - 25 - 5*z**2 + 11 + 12.
-(z - 1)*(5*z - 2)
Let i(o) be the second derivative of -o**5/90 - 10*o**4/27 - 37*o**3/27 - 2*o**2 + 2*o + 49. Factor i(y).
-2*(y + 1)**2*(y + 18)/9
Factor 34*t**2 - 2*t**3 + 6 + 10*t - 64*t**2 + 32*t**2.
-2*(t - 3)*(t + 1)**2
Factor 110*f**2 + 2*f - 52 - 114*f**2 + 65*f - 11*f.
-4*(f - 13)*(f - 1)
Let v = 90280/3 + -30093. What is k in k**3 - v*k**2 + 0*k + 0 = 0?
0, 1/3
Let q(o) be the first derivative of 4*o**5/5 - 5*o**4 - 20*o**3 + 10*o**2 + 56*o - 166. Find p such that q(p) = 0.
-2, -1, 1, 7
Let l(i) = -i + 2. Let t(p) = -3*p + 6. Let v(s) = 7*l(s) - 2*t(s). Let g be v(-14). Factor 32*n - g*n - 15*n + n**4 + 3*n**2 + 3*n**3.
n*(n + 1)**3
Suppose 4*j - 5*q + 19 = -65, -5*j - 5*q = 60. Let s be 28/3*j/(-28). Let 0 + 8*t**2 + s*t**4 + 4/3*t + 12*t**3 = 0. Calculate t.
-1, -1/4, 0
Let z(i) be the first derivative of -21 + 0*i + 1/3*i**3 - 3*i**2. Determine g so that z(g) = 0.
0, 6
Suppose -10*f = -150 + 150. Let q(d) be the third derivative of 4*d**2 + f*d**3 + 1/15*d**5 + 0 + 0*d - 1/12*d**4. Factor q(t).
2*t*(2*t - 1)
Let g be 10/1 - (-3)/(-1). Suppose -5*u = g - 32. What is y in 0*y**3 + 4*y**5 - y**3 - 8*y**u + 5*y**3 = 0?
-1, 0, 1
Let i(p) be the third derivative of p**7/14 - 9*p**6/40 + 6*p**5/25 - p**4/10 - 2*p**2 + 16. Solve i(n) = 0.
0, 2/5, 1
Let v = -16 - -19. Factor -9*t**3 + 3*t**3 - 22*t**5 + v*t + 25*t**5.
3*t*(t - 1)**2*(t + 1)**2
Let o be 222/72 + -3 - (164/48 - 4). Factor 50/3 + o*g**2 + 20/3*g.
2*(g + 5)**2/3
What is n in -23*n**3 + 5*n**3 - 33*n**2 - 22*n**2 - 12*n**3 + 5 - 20*n = 0?
-1, 1/6
Let i(n) = 6*n**4 - n**3 + 2*n**2. Let c(h) = 12*h**4 - h**3 + 5*h**2. Let a = -17 + 19. Let k(z) = a*c(z) - 5*i(z). Factor k(v).
-3*v**3*(2*v - 1)
Suppose 0 = 4*f - 2*z - z - 3, -3*f = -3*z. What is g in 240*g**4 - 16*g**2 - 5*g - 120*g**4 - 80*g**5 - 14*g**2 - 5*g**f = 0?
-1/4, 0, 1
Let r(g) = 14*g**5 + 4*g**