w. Let z be c/(-4)*(-24)/54. Factor -2/3 - 4*g**2 - z*g**4 + 8/3*g**3 + 8/3*g.
-2*(g - 1)**4/3
Suppose 5*p = r + 5 - 1, 2*r = -2*p - 8. Let b = r - -11. Determine m, given that -4 + b*m + 14*m - 7*m - 10*m**2 = 0.
2/5, 1
Let t(m) be the third derivative of 1/75*m**5 + 0*m**3 + 0*m + 0*m**6 - 1/60*m**4 + 0 - 2/525*m**7 + 1/840*m**8 - 5*m**2. Determine r, given that t(r) = 0.
-1, 0, 1
Let l(j) be the first derivative of 0*j - 2 + 2/3*j**3 + 1/2*j**4 + 0*j**2. Factor l(v).
2*v**2*(v + 1)
Suppose 5*u = 6*u - 2. Let -2*o**2 - u*o**2 + o**2 = 0. Calculate o.
0
Let c(m) be the second derivative of -m**7/126 - m**6/90 + m**5/60 + m**4/36 - m. Factor c(a).
-a**2*(a - 1)*(a + 1)**2/3
Let l(n) be the third derivative of 1/2*n**3 + 5*n**2 + 1/2*n**4 + 0 + 0*n + 3/20*n**5. Let l(m) = 0. Calculate m.
-1, -1/3
Let s(k) be the second derivative of k**7/189 - 7*k**6/135 + 19*k**5/90 - 25*k**4/54 + 16*k**3/27 - 4*k**2/9 - 12*k. Factor s(d).
2*(d - 2)**2*(d - 1)**3/9
Suppose s - 15 = -2*s. Determine q, given that 3*q**5 - 2*q**3 + q**5 - 2*q**2 + 4*q**2 - 2*q**4 - 2*q**s = 0.
-1, 0, 1
Factor -1 + 0*b + b**3 + 0 + 4*b**2 + 5*b + 3.
(b + 1)**2*(b + 2)
Let v = -20 - -29. Let c be ((-4)/3)/((-30)/v). Factor -3/5*s**4 + 0*s**2 + 0 + 0*s + c*s**5 + 1/5*s**3.
s**3*(s - 1)*(2*s - 1)/5
Factor -242/3 - 2/3*h**2 - 44/3*h.
-2*(h + 11)**2/3
Let q(m) be the first derivative of -10 - 1/8*m**2 + 3/8*m - 1/24*m**3. Solve q(l) = 0 for l.
-3, 1
Let x be (-35)/(-2) + 2/(-4). Let w = x + -17. Find m such that 0*m**3 - 2/9*m**4 + w*m + 0 + 2/9*m**2 = 0.
-1, 0, 1
Let j = -33 + 20. Let f = 18 + j. Factor -4*o**2 - o**5 + o**4 - o**4 + f*o**2 - 3*o**3 + 3*o**4.
-o**2*(o - 1)**3
Let q(d) = -d - 1. Let o be q(-4). Find f, given that 8*f**5 - 4*f**3 - 6*f**4 + f**o + 7*f**2 - 6*f**2 = 0.
-1/2, 0, 1/4, 1
Let w(v) be the first derivative of 0*v**2 + 9 + 0*v - 3/10*v**5 - 1/6*v**3 - 3/8*v**4 - 1/12*v**6. Suppose w(a) = 0. What is a?
-1, 0
Let f(a) = 12*a**2 - 22*a - 16. Suppose 2*x + 1 + 31 = 0. Let b(z) = -4*z**2 + 7*z + 5. Let v(l) = x*b(l) - 5*f(l). Factor v(g).
2*g*(2*g - 1)
Suppose -218*c + 217*c + 3 = 0. Suppose -9/2 - 7/2*k**2 + 15/2*k + 1/2*k**c = 0. Calculate k.
1, 3
Let r(w) = 152*w**3 - 10*w**2 + 4*w. Suppose c + 4*c + 80 = 0. Let i(a) = -51*a**3 + 3*a**2 - a. Let s(t) = c*i(t) - 5*r(t). Find x such that s(x) = 0.
-2/7, 0, 1/4
Let h = 0 - 0. Let u = h + -4. Let j(w) = -5*w**2 + w + 11. Let o(z) = -z**2 + 2. Let p(d) = u*j(d) + 22*o(d). Factor p(t).
-2*t*(t + 2)
Let l(c) be the third derivative of -c**6/180 - 2*c**5/45 - c**4/9 + 5*c**2 + 3*c. Factor l(a).
-2*a*(a + 2)**2/3
Let a(c) be the first derivative of 5*c**3/3 - 20*c**2 + 33. Find z, given that a(z) = 0.
0, 8
Let r(s) be the first derivative of 14/3*s**3 - 4*s + 5*s**2 - 10. Let r(w) = 0. Calculate w.
-1, 2/7
Let k(c) = -c**4 + 25*c**3 + 12*c**2 - 7*c - 7. Let l(y) = 12*y**3 + 6*y**2 - 3*y - 3. Let h(m) = -3*k(m) + 7*l(m). Factor h(z).
3*z**2*(z + 1)*(z + 2)
Let z be (0/(-3))/(1/(-1)). Suppose 3*a - 8*a = z. Let a*n**3 + 1/2*n**2 + 0*n - 1/2*n**4 + 0 = 0. Calculate n.
-1, 0, 1
Let r be (-1 - -3) + 0 + 35. Let y = 113/3 - r. Factor 2/3*z + 0*z**2 + 1/3*z**4 - y*z**3 - 1/3.
(z - 1)**3*(z + 1)/3
Let u(a) be the second derivative of -a**7/21 + a**6/5 - a**5/5 - a**4/3 + a**3 - a**2 - 8*a. Suppose u(x) = 0. What is x?
-1, 1
Find n, given that -2/13*n + 2/13*n**3 + 2/13*n**2 - 2/13 = 0.
-1, 1
Suppose -3*i + 5*w - 16 = -0, i - w = -2. Let x(o) = -2*o**2 + 0*o + i*o - o. Let q(a) = a**2 - a. Let n(y) = 13*q(y) + 6*x(y). Solve n(h) = 0.
0, 1
Let j(m) be the third derivative of m**7/420 - m**6/30 + 11*m**5/60 - m**4/2 + 3*m**3/4 + 9*m**2. Determine p, given that j(p) = 0.
1, 3
Let i(c) = -15*c**3 - 5*c**2 + 10*c - 5. Let k(v) = 8*v**3 + 3*v**2 - 5*v + 3. Let q(a) = -3*i(a) - 5*k(a). Find t such that q(t) = 0.
-1, 0, 1
Let r(z) be the second derivative of -1/48*z**4 + 0*z**3 + 1/8*z**2 + 0 - 4*z. Determine j, given that r(j) = 0.
-1, 1
Solve 3*u**2 + 2*u**3 + 27*u**4 - 30*u**4 - 2*u**3 = 0 for u.
-1, 0, 1
Let f = 40 - 38. Let j(n) be the second derivative of f*n + 1/12*n**4 + 1/6*n**2 + 0 + 1/60*n**5 + 1/6*n**3. Factor j(x).
(x + 1)**3/3
Let a(r) be the third derivative of r**7/3780 + r**6/540 + r**4/24 + r**2. Let n(u) be the second derivative of a(u). Factor n(h).
2*h*(h + 2)/3
Let p(y) = y**3 + 6*y**2 + 5*y + 3. Let l be p(-5). Suppose l*q**3 + 3 - 9*q**3 + 0*q**3 - 5*q**2 - 4*q**2 = 0. What is q?
-1, 1/2
Let g(p) = p**2 + 3*p - 6. Let y be g(-5). Let f(n) = 2*n - 23. Let m be f(13). Determine a, given that -1/2 + 0*a**2 + 1/2*a**y - a + a**m = 0.
-1, 1
Let p(d) be the second derivative of -d**4/4 + 3*d**2/2 - 6*d. Factor p(j).
-3*(j - 1)*(j + 1)
Let t(o) be the third derivative of -o**6/600 + o**5/50 - o**4/10 + 5*o**3/6 - 4*o**2. Let r(f) be the first derivative of t(f). Find l such that r(l) = 0.
2
Let s = -103 + 103. Let u(v) be the first derivative of -1/16*v**4 + s*v + 0*v**3 + 2 + 1/8*v**2. Factor u(c).
-c*(c - 1)*(c + 1)/4
Let u(i) = 7*i**4 - 5*i**3 - 7*i**2 + 5*i - 6. Let z(f) = 6*f**4 - 4*f**3 - 6*f**2 + 4*f - 5. Let h(q) = 5*u(q) - 6*z(q). Find b such that h(b) = 0.
-1, 0, 1
Let a = -18 + 18. Let u(o) be the third derivative of -1/48*o**4 + a - 1/40*o**5 - 2*o**2 - 1/420*o**7 + 0*o - 1/80*o**6 + 0*o**3. Factor u(w).
-w*(w + 1)**3/2
Let z(p) be the second derivative of 0*p**3 + 0 + 0*p**2 + 1/48*p**4 - 4*p. Suppose z(x) = 0. What is x?
0
Let o(d) be the third derivative of d**8/168 - d**6/30 + d**4/12 + 17*d**2. Find h, given that o(h) = 0.
-1, 0, 1
Solve b**4 + 11*b**3 - 8*b**3 - 5*b**5 + 7*b**2 + 0*b - 8*b**4 + 2*b = 0 for b.
-1, -2/5, 0, 1
Let f = 221/2 + -110. Let n(g) be the third derivative of f*g**3 + 0*g - 5*g**2 + 0 + 1/20*g**6 + 1/2*g**4 + 1/4*g**5. Solve n(h) = 0.
-1, -1/2
Let q(f) be the second derivative of f**5/180 - f**4/27 - 5*f**3/54 - 28*f. Let q(i) = 0. What is i?
-1, 0, 5
Let t(f) be the second derivative of 2/3*f**4 + 4*f + 0*f**2 + 1/21*f**7 + 0 + 4/15*f**6 + 1/3*f**3 + 3/5*f**5. Find m such that t(m) = 0.
-1, 0
Let p(c) be the third derivative of 7*c**8/16 + 2*c**7/5 + c**6/10 + 8*c**2. Let p(q) = 0. What is q?
-2/7, 0
Let i(l) be the first derivative of 0*l**3 + l**2 + 2 + 1/90*l**5 + 1/36*l**4 + 0*l. Let r(q) be the second derivative of i(q). Determine t so that r(t) = 0.
-1, 0
Let l(k) be the second derivative of 3*k**5/5 + 7*k**4/4 + k**3 - 3*k**2/2 + k. Factor l(p).
3*(p + 1)**2*(4*p - 1)
Let z(d) be the second derivative of d**6/90 - d**5/10 - d**4/12 + 10*d**3/9 - 2*d**2 + 52*d. Factor z(u).
(u - 6)*(u - 1)**2*(u + 2)/3
Let a(c) = c**3 + 3*c**2 - c + 1. Suppose 2*q = 3*q + 1. Let s = q - 4. Let u(t) = -3*t**3 - 7*t**2 + 3*t - 3. Let w(l) = s*a(l) - 2*u(l). Factor w(x).
(x - 1)**2*(x + 1)
Let v(a) be the first derivative of 0*a**3 + 1/30*a**6 + 2 + 0*a**2 + 0*a + 1/20*a**4 - 2/25*a**5. Find q such that v(q) = 0.
0, 1
Let p(o) be the first derivative of -2 - 8*o - 8*o**2 + 10/3*o**3. Factor p(c).
2*(c - 2)*(5*c + 2)
Let y be -3*(0 + (0 - 0) - 1). Let d(w) be the first derivative of 5/4*w**4 - 4*w**2 - 1/5*w**5 - 2 - 1/6*w**6 + 1/3*w**y + 4*w. Find x such that d(x) = 0.
-2, 1
Suppose 5*p - 12 = 3*p. Let u be (189/70)/(p/8). What is r in u*r**2 - 18/5*r + 4/5 + 2/5*r**3 - 6/5*r**4 = 0?
-2, 1/3, 1
Let v(d) be the third derivative of d**8/336 + d**7/210 - d**6/40 - d**5/60 + d**4/12 - 8*d**2. Factor v(h).
h*(h - 1)**2*(h + 1)*(h + 2)
Let k(l) = l**2 - 26*l - 71. Let q(n) = -3*n**2 + 51*n + 141. Let x(v) = 9*k(v) + 4*q(v). Find j such that x(j) = 0.
-5
Suppose 4 = -p + 8. Factor -2/3*n**3 + 0*n + 0 - 1/3*n**p - 1/3*n**2.
-n**2*(n + 1)**2/3
Let k(z) be the first derivative of -z**6/252 + z**5/60 - z**4/42 + z**3 + 4. Let y(v) be the third derivative of k(v). Factor y(x).
-2*(x - 1)*(5*x - 2)/7
Let u(h) be the first derivative of 2*h**5/55 - h**4/22 + 4. Factor u(l).
2*l**3*(l - 1)/11
Suppose 6 = 3*i, 2*w = -i + 5*i + 4. Let b = w - 4. Factor 3*r + 2*r**3 - 2*r - 4*r**b + r.
2*r*(r - 1)**2
Suppose -5*m + 5 = 7*a - 12*a, 2*m + 4*a + 4 = 0. Solve -1/4*w**4 + 0*w + 0*w**3 + 1/4*w**2 + m = 0.
-1, 0, 1
Let g be (-4 - -2)*1 - (-16)/4. Suppose 0 - 3/5*t**g + 3/5*t = 0. Calculate t.
0, 1
Let u = -21/715 - 4/65. Let f = u - -16/55. Factor -1/5*s**2 - f - 2/5*s.
-(s + 1)**2/5
Let o = -70 - -70. Let 1/4*n + 