, 0
Let r be (-4*13/104)/(7*4/(-48)). Solve r*g**2 - 3/7*g**3 + 3*g + 12/7 = 0.
-1, 4
Factor 279*r - 140 + r**2 + 3*r**2 - 143*r.
4*(r - 1)*(r + 35)
Let y be 4/(-6) - (-2409)/2628. Factor -y*k**5 + 1/4*k**3 - 1/4*k**4 + 0*k + 1/4*k**2 + 0.
-k**2*(k - 1)*(k + 1)**2/4
Let a(u) be the first derivative of 3*u**4/16 - 23*u**3/4 - 147*u**2/8 - 75*u/4 + 88. Let a(n) = 0. Calculate n.
-1, 25
Let x(c) = -11*c**3 + 7*c**2 + c + 8. Let m(l) = 6*l**3 - 4*l**2 - 5. Let b(k) = -5*m(k) - 3*x(k). Factor b(h).
(h - 1)*(h + 1)*(3*h - 1)
Let q(w) be the third derivative of 3*w**5/140 + 65*w**4/21 - 58*w**3/21 + 372*w**2. Factor q(y).
(y + 58)*(9*y - 2)/7
Determine y so that -3*y + 21 - 14 - 9 - y**2 = 0.
-2, -1
Let b(h) be the first derivative of h**6/3 + 3*h**5/5 - h**4/4 - h**3 - h**2/2 + 46. Solve b(c) = 0 for c.
-1, -1/2, 0, 1
Let q = -120 + 123. Let y(h) be the first derivative of -9/4*h**4 + 13/2*h**q + 3/10*h**5 + 6*h - 1 - 9*h**2. Suppose y(o) = 0. What is o?
1, 2
Let k be (-19 + 19)/((-5)/(-3 - -8)). Factor k - 2*q + 0*q**2 + 1/2*q**3.
q*(q - 2)*(q + 2)/2
Let n(z) = -2*z - 9. Let t(s) = 3*s + 14. Let i(d) = 8*n(d) + 5*t(d). Let m be i(-7). Determine k so that k**2 - k**4 - 11*k**3 + m*k**3 + 9*k**3 + 3*k**4 = 0.
-1, -1/2, 0
Let 0 - 48/5*q**2 + 2/5*q**4 + 0*q + 4/5*q**3 = 0. Calculate q.
-6, 0, 4
Factor -5618/7 - 2/7*o**2 - 212/7*o.
-2*(o + 53)**2/7
Let n(z) be the first derivative of 4*z**3/3 - 84*z**2 - 352*z - 91. Factor n(c).
4*(c - 44)*(c + 2)
Let j(p) be the second derivative of 0 + p**2 + 0*p**4 - 2/3*p**3 + 27*p - 1/15*p**6 + 1/5*p**5. Factor j(t).
-2*(t - 1)**3*(t + 1)
Let x(u) be the second derivative of 0*u**2 + 0*u**4 - 1/231*u**7 + 0 + 2/33*u**6 - 4*u + 0*u**3 - 5/22*u**5. Factor x(i).
-2*i**3*(i - 5)**2/11
Let d(t) = -t. Let g be d(1). Let j(n) = -3*n - 1. Let l be j(g). Let l*x**3 - x**2 + 4*x**2 - x**4 - 2*x**2 + 2*x**4 = 0. Calculate x.
-1, 0
Let t(z) = 2*z**5 + z**2 + 2*z + 1. Let m(h) = -621*h**5 + 4500*h**4 - 10400*h**3 + 10882*h**2 - 5372*h + 1026. Let x(j) = -2*m(j) + 4*t(j). Factor x(d).
2*(d - 4)*(5*d - 4)**4
Suppose 5*t + 4*r + 12 = -0*r, -2*t + 3 = -r. Let n(f) be the first derivative of 0*f**3 + 1/8*f**4 + t*f**2 + 1 + 0*f. Factor n(k).
k**3/2
Let v(c) = 6*c**2 - 5. Let m be v(2). Solve -15*o**4 + 6*o**3 + 6*o**2 - m*o**3 + 8*o**3 - 4*o**3 = 0 for o.
-1, 0, 2/5
Let f(j) be the third derivative of -j**8/4200 + j**7/2100 + j**6/900 - j**5/300 + 13*j**3/3 - 22*j**2. Let r(w) be the first derivative of f(w). Factor r(d).
-2*d*(d - 1)**2*(d + 1)/5
Let w(n) = 951*n + 3. Let x be w(0). Determine q, given that -3/2*q**x + 3/2*q**2 + 0 - 1/2*q + 1/2*q**4 = 0.
0, 1
Factor -506*k + 2*k**3 - 5*k**2 + 512*k - k**3.
k*(k - 3)*(k - 2)
Let y(v) be the third derivative of 3*v**4 + 10*v**2 + 0 - 13/15*v**5 - 3/4*v**6 + 0*v + 5/21*v**7 - 8/3*v**3. Factor y(p).
2*(p - 2)*(p + 1)*(5*p - 2)**2
Let j = 115/2 - 56. Let x(p) be the first derivative of 9/4*p**2 - 9/8*p**4 + 6/5*p**5 + j*p - 5/2*p**3 + 1. Let x(t) = 0. What is t?
-1, -1/4, 1
Let l(j) be the first derivative of -j**6/6 + 7*j**5/5 + 15*j**4/2 + 4*j**3/3 - 20*j**2 - 54. Factor l(t).
-t*(t - 10)*(t - 1)*(t + 2)**2
Let o(f) = -5*f**4 - 48*f**3 + 19*f**2 + 41*f - 7. Let l(p) = 3*p**4 + 32*p**3 - 13*p**2 - 27*p + 5. Let z(i) = 7*l(i) + 5*o(i). Factor z(r).
-4*r*(r - 1)*(r + 1)*(r + 4)
Factor 12*t**2 - 10*t**2 - 20*t + 30 - 12*t.
2*(t - 15)*(t - 1)
Suppose 5/4*k**2 + 114005/4 - 755/2*k = 0. What is k?
151
Let o(w) be the first derivative of 1/60*w**5 - w + 1/18*w**4 + 0*w**2 - 6 + 1/18*w**3. Let t(s) be the first derivative of o(s). Solve t(k) = 0 for k.
-1, 0
Factor -1/2*i**2 + 4 + i.
-(i - 4)*(i + 2)/2
Let l(g) be the first derivative of -g**3 - 12*g**2 - 48*g - 29. Suppose l(f) = 0. Calculate f.
-4
Let b(n) = n**3 - 3*n**2 + 5*n - 1. Let t be b(2). Let o(q) be the first derivative of -4 + 15/8*q**4 - 37/12*q**3 - q + 5/2*q**2 - 9/20*q**t. Factor o(c).
-(c - 1)**2*(3*c - 2)**2/4
Solve -12*f**5 - 18*f**3 + 14*f**3 - 12*f**2 + 16*f**2 - 20*f**4 = 0.
-1, 0, 1/3
Let d = -569 + 1712/3. Let v(o) = -o**3 - 4*o**2 + 5*o + 4. Let l be v(-5). Solve -u**2 - l*u + d*u**3 - 4/3 = 0.
-1, -2/5, 2
Suppose -3 = -4*s + 5. Factor -2*l**3 + l**3 - 109*l**s + 105*l**2.
-l**2*(l + 4)
Let f(y) be the first derivative of y**6/30 + y**5/25 - y**4/10 - 94. Find n such that f(n) = 0.
-2, 0, 1
Let y(g) be the second derivative of 27*g**7/7 + 3*g**6/5 - 28*g**5/5 + 8*g**4/3 - 89*g. Solve y(h) = 0.
-1, 0, 4/9
Let w(t) be the third derivative of t**11/55440 + t**10/75600 + 2*t**5/15 - 10*t**2. Let y(h) be the third derivative of w(h). Factor y(p).
2*p**4*(3*p + 1)
Let w(h) = -h**3 - 21*h**2 - 68*h + 3. Let x be w(-4). Factor -125/4*p - 5/4*p**x + 25/2*p**2 + 0.
-5*p*(p - 5)**2/4
Let d(y) be the first derivative of -y**3/30 - 3*y**2/10 - 4*y/5 + 102. Suppose d(q) = 0. Calculate q.
-4, -2
Let o = 1116 + -1114. Factor 2/17*w**4 + 28/17*w - 10/17 + 4/17*w**3 - 24/17*w**o.
2*(w - 1)**3*(w + 5)/17
Suppose -3*n - n + 16 = 0. Suppose 3*s = 5*v + 4*s - 73, -n*v + 47 = -3*s. Solve 0 + 5 - 1 + 10*x**2 + v*x = 0.
-1, -2/5
Let c(w) = -w + 5. Let s be c(3). Factor 15*o - 4*o**2 + 24*o**3 - 19*o**3 - 16*o**s.
5*o*(o - 3)*(o - 1)
Let u(j) = -j**2 + 4*j - 1. Let q be u(3). Let t = -6 + 8. Solve -39*y**4 + q*y - 10*y**5 - 45*y**3 - 5*y - 2*y**5 - y**2 - 20*y**t = 0.
-1, -1/4, 0
Factor 64/11*z**2 + 14/11*z**3 + 74/11*z + 24/11.
2*(z + 1)*(z + 3)*(7*z + 4)/11
Let k(y) be the first derivative of -y**7/4200 - y**6/1800 + y**5/120 - y**4/40 + 13*y**3/3 + 3. Let x(b) be the third derivative of k(b). Factor x(u).
-(u - 1)**2*(u + 3)/5
Let u(c) = -2. Let z(d) = -2*d - 23. Let s(t) = -18*u(t) + 2*z(t). Let p(q) = q**2 + q - 1. Let o(i) = -2*p(i) - s(i). Find f such that o(f) = 0.
-2, 3
Find t such that 9/2*t + 1/2*t**3 + 0 + 5*t**2 = 0.
-9, -1, 0
Let x(y) be the second derivative of 25/4*y**2 - y**4 - 5/4*y**3 + 2/5*y**5 + 0 + 13*y. Factor x(g).
(g + 1)*(4*g - 5)**2/2
Suppose -11454*u**2 + 47 + 11404*u**2 + 5*u**3 + 140*u - 55 - 92 - 20 = 0. What is u?
2, 6
Let p(z) = -z**2 + 4*z + 4. Let h be p(4). Let n(f) = -4*f**2 + f + 3. Let q(i) = 26 - 30 + 75*i + 5*i**2 - 76*i. Let g(d) = h*n(d) + 3*q(d). Factor g(l).
-l*(l - 1)
Let y(k) be the third derivative of k**7/420 + 11*k**3/2 + 13*k**2. Let j(z) be the first derivative of y(z). Determine u, given that j(u) = 0.
0
Suppose q = v - 7, 56 = -3*q - 3*v - v. Let c be -1*((-9)/(-48))/(1/q). Determine z, given that -3/2*z + c + 1/4*z**2 = 0.
3
Let y be (-1 + 2)*(2 + 3). Let j = -4536/5 + 909. Factor -6*l**4 - 36/5*l**3 - j*l**y - 3/5*l + 0 - 18/5*l**2.
-3*l*(l + 1)**3*(3*l + 1)/5
Let f(a) = -3*a**2 + 22*a - 19. Let q(z) be the first derivative of -1/3*z**3 - 2 + 7/2*z**2 - 6*z. Let b(x) = -2*f(x) + 7*q(x). Suppose b(y) = 0. Calculate y.
1, 4
Let h = -1006/15 - -336/5. Let w(u) be the first derivative of 3 - h*u**3 + 0*u - 1/5*u**2. Factor w(l).
-2*l*(l + 1)/5
Let g(l) be the third derivative of l**5/270 + l**4/18 + l**3/3 - l**2 + 17*l. Factor g(h).
2*(h + 3)**2/9
Find q such that -1/6*q**4 + 1/3*q**2 + 2/3*q**3 - 2*q - 3/2 = 0.
-1, 3
Let k(i) be the first derivative of -i**6/24 - 9*i**5/20 + 5*i**4/8 - 104. Factor k(b).
-b**3*(b - 1)*(b + 10)/4
Determine p, given that 0 + 18/7*p + 1/7*p**5 + 11/7*p**4 + 45/7*p**2 + 37/7*p**3 = 0.
-6, -3, -1, 0
Let t(o) be the second derivative of -3*o**6/20 + 33*o**5/40 - 37*o**4/24 + 5*o**3/4 - o**2/2 + 51*o + 1. Find q such that t(q) = 0.
1/3, 1, 2
Let o(w) be the first derivative of -w**6/1260 + w**5/420 + w**4/42 + 6*w**3 + 6. Let n(v) be the third derivative of o(v). Find m such that n(m) = 0.
-1, 2
Let g(b) be the first derivative of b**5/12 - 5*b**4/6 + 5*b**3/2 + 3*b**2 - 6. Let t(h) be the second derivative of g(h). What is p in t(p) = 0?
1, 3
Factor -3*w - 12*w**2 - 47*w**3 - 6*w + 85*w**3 - 41*w**3.
-3*w*(w + 1)*(w + 3)
Let c(w) be the second derivative of w**5/100 + 29*w**4/60 + 49*w**3/10 + 207*w**2/10 - 4*w + 78. Factor c(q).
(q + 3)**2*(q + 23)/5
Let s(v) be the second derivative of -v**7/840 + v**6/48 - 3*v**5/20 + 7*v**4/3 + 4*v + 9. Let q(f) be the third derivative of s(f). Factor q(g).
-3*(g - 3)*(g - 2)
Factor -3*q - 9/5*q**2 + 6/5.
-3*(q + 2)*(3*q - 1)/5
Factor b**2 - 4*b**2 + 56*b - 77*b.
-3*b*(b + 7)
Factor -1/4 + 1/4*c**3 + 5/8*c**2 + 1/8*c.
(c 