x - 1. Let b(n) = -3*n**2 - 4*n. Let v(z) = 7*b(z) - 2*i(z). Let k be v(-4). Factor 0 - 1/3*w + 1/3*w**4 - w**3 + w**k.
w*(w - 1)**3/3
Suppose -17*d + 52 = -4*d. Let k(i) be the first derivative of -2*i**3 + 3/2*i**2 - 13 + 6*i - 3/4*i**d. Factor k(n).
-3*(n - 1)*(n + 1)*(n + 2)
Let g(c) be the first derivative of 125*c**4/12 + 200*c**3/9 - 95*c**2/6 + 10*c/3 - 386. Find y, given that g(y) = 0.
-2, 1/5
Let l(b) = 5*b**3 + 21*b**2 + 36*b + 16. Let w(a) = -5*a**3 + 6*a - 30*a - 15 - 20*a**2 - 11*a. Let j(d) = 5*l(d) + 4*w(d). Find z such that j(z) = 0.
-2, -1
Let c(z) be the second derivative of -25*z**8/336 + 4*z**7/21 - z**6/24 - z**5/6 + 21*z**2/2 - 6*z. Let q(b) be the first derivative of c(b). Factor q(y).
-5*y**2*(y - 1)**2*(5*y + 2)
Let b(s) = 2*s - 19. Let c be b(12). Let w(q) be the second derivative of 0 + 0*q**3 + 1/4*q**4 - c*q - 3/2*q**2. Factor w(y).
3*(y - 1)*(y + 1)
Factor -1/4*f**2 - 1764 + 42*f.
-(f - 84)**2/4
Let h = -8 + 12. Suppose 0 = -2*v + h. What is g in -6*g + 9*g**2 + 9*g**2 + 3*g**3 - 21*g**v = 0?
-1, 0, 2
Factor -32*n - 2*n**4 + n**3 + 7*n**3 - 49*n**2 + 57*n**2.
-2*n*(n - 4)*(n - 2)*(n + 2)
Let y = 55/156 + 2545/156. Factor 8*f + 6*f**3 + 8/3 - y*f**2.
2*(f - 2)*(f - 1)*(9*f + 2)/3
Let q(s) be the second derivative of 5*s - s**2 - 1/3*s**4 - 4/3*s**3 + 0 - 1/30*s**5. Let a(v) be the first derivative of q(v). What is x in a(x) = 0?
-2
Let b(l) be the third derivative of 0*l + 0 - 23*l**2 + 0*l**3 + 1/60*l**5 - 1/8*l**4. Solve b(d) = 0 for d.
0, 3
Let c(n) be the second derivative of n**5/10 + 25*n**4/2 + 456*n**3 - 1444*n**2 - 5*n + 23. Let c(y) = 0. What is y?
-38, 1
Find w such that 359*w**2 + 27*w**3 + 0*w**3 + 3*w**3 - 3*w**5 - 383*w**2 - 3*w**4 = 0.
-4, 0, 1, 2
Let l be (-62)/(-527) - (12/(-16))/(51/(-8)). Suppose 3*t + 9/2*t**3 + l - 6*t**4 + 27/2*t**2 = 0. Calculate t.
-1, -1/4, 0, 2
Let p(u) be the third derivative of u**8/2520 - 4*u**7/1575 - u**6/900 + 2*u**5/225 + 45*u**2. Find b such that p(b) = 0.
-1, 0, 1, 4
Solve 30 + 3*v**2 - 5*v - 5*v - 11*v = 0 for v.
2, 5
Let l(n) = n**2 - 19*n - 37. Let s be l(21). Let y(t) be the third derivative of -t**2 - 1/9*t**3 - 1/180*t**s + 0*t + 0 + 1/24*t**4. Factor y(b).
-(b - 2)*(b - 1)/3
Find c, given that 0*c + 10/3*c**5 - 10/3*c**3 + 5/2*c**2 + 0 - 5/2*c**4 = 0.
-1, 0, 3/4, 1
Suppose 13*z = 19*z - 9*z. Determine n, given that 2/9*n**2 - 2/9*n**3 + z + 4/9*n = 0.
-1, 0, 2
Let n(s) = s**3 - 4*s**2 + 2*s - 5. Let i be n(4). Let 8*d**5 - 11*d**5 - 4*d**3 - 15*d**4 + 27*d**2 + 3*d**3 - 8*d**i = 0. What is d?
-3, 0, 1
Suppose 3481/2 + 1/2*x**2 + 59*x = 0. Calculate x.
-59
Let c(y) = 3*y**2 - 4*y + 3. Let v(m) = -6*m - 4 + 4*m**2 + 3*m**2 - 2*m**2 + 9. Let p(q) = -8*c(q) + 5*v(q). Factor p(u).
(u + 1)**2
Let f(j) be the second derivative of 0 - 12*j + 1/15*j**5 + 5/9*j**4 + 0*j**3 + 0*j**2. Factor f(l).
4*l**2*(l + 5)/3
Let q(v) be the second derivative of -v**9/5040 + v**7/420 - v**5/40 + v**4/4 + v**3/3 + 28*v. Let o(j) be the third derivative of q(j). Factor o(w).
-3*(w - 1)**2*(w + 1)**2
Let h be (-3 + 1 - -2)/(-4). Find t, given that -t**3 + t + 2 - 2*t**2 + h*t + 3*t**3 - 3*t = 0.
-1, 1
Factor -173*p**3 - 1248*p**2 - 1202*p**2 - 151*p**2 + 3*p**4 - 6*p**4 - 14739*p + 20*p**3.
-3*p*(p + 17)**3
Let c(q) be the second derivative of -1/660*q**6 + 1/110*q**5 + 0*q**4 + 0*q**3 + 0 + 8*q - 6*q**2. Let k(s) be the first derivative of c(s). Factor k(x).
-2*x**2*(x - 3)/11
Let x(j) = -4*j**2 + 24*j + 29. Let h(t) = -3*t**2 + 22*t + 28. Let k(z) = -5*h(z) + 4*x(z). Let k(f) = 0. What is f?
-12, -2
Let o(i) be the second derivative of 16*i**2 + 8/3*i**3 + 0 + 1/6*i**4 - 3*i. Factor o(p).
2*(p + 4)**2
Let i(r) = r**4 + r**3 + r**2 + r + 1. Let g(f) = 5*f**5 - 125*f**4 + 215*f**3 + 3185*f**2 + 6220*f + 3360. Let t(j) = -g(j) - 20*i(j). Let t(v) = 0. What is v?
-2, -1, 13
Let x = 108 - 105. Let r(c) be the second derivative of c - c**2 + 1/6*c**4 + 1/10*c**5 + 0 - 1/3*c**x. Factor r(w).
2*(w - 1)*(w + 1)**2
Let g(u) be the first derivative of -u**3/12 + 3*u**2/4 + 7*u/4 - 744. Suppose g(n) = 0. Calculate n.
-1, 7
What is g in g + 27*g**3 + 19*g + 12*g**3 - 14*g - 45*g**2 = 0?
0, 2/13, 1
Suppose -3*q + 17 - 11 = 0. Suppose q + 7 = 3*t. Let a(r) = 5*r**4 - 7*r**3 - 2*r**2 + r. Let f(g) = g**4 - g**3 - g. Let j(i) = t*f(i) - a(i). Factor j(y).
-2*y*(y - 2)*(y - 1)*(y + 1)
Let z be (21 + -22)*((-4)/(-6) - 1). Let a(y) be the first derivative of 2/15*y + 2/15*y**3 + 3/10*y**4 + 2 - z*y**2. Determine x, given that a(x) = 0.
-1, 1/3
Let a = -65 - -67. Let -10/11*f - 4/11 + 2/11*f**5 + 8/11*f**3 + 8/11*f**4 - 4/11*f**a = 0. What is f?
-2, -1, 1
Suppose -f + 12 = 4*u, 7*u - 12*u = 5*f - 30. Let 0 - 2/9*m**u + 2/3*m = 0. Calculate m.
0, 3
Let q(g) be the first derivative of -5*g**7/42 + g**6/6 + g**5/2 - 6*g + 3. Let y(c) be the first derivative of q(c). Let y(r) = 0. What is r?
-1, 0, 2
Let l = 119403/200 + -597. Let j(v) be the third derivative of 0*v**3 - 1/350*v**7 - 1/50*v**5 + 0*v**4 + 0 + l*v**6 + 5*v**2 + 0*v. Factor j(z).
-3*z**2*(z - 2)*(z - 1)/5
Let d(w) = 20*w**3 + 95*w**2 - 473*w - 13. Let s(p) = -9*p**3 - 48*p**2 + 237*p + 6. Let v(n) = 6*d(n) + 13*s(n). Solve v(y) = 0.
0, 9
Let j(a) = -a**2 + a - 1. Let f(w) be the first derivative of -w**4/4 - 2*w**3/3 + w**2/2 - w + 1. Let p(h) = 2*f(h) - 2*j(h). Factor p(t).
-2*t**2*(t + 1)
Let y be (-20)/(-42)*56/32. Let g(f) be the second derivative of -1/2*f**2 - 3*f - 1/4*f**4 - y*f**3 + 9/20*f**5 + 0. Factor g(a).
(a - 1)*(3*a + 1)**2
Let h(j) be the second derivative of j**6/60 - 9*j**5/20 + 61*j**4/24 + 15*j**3 + 25*j**2 + 67*j. Factor h(v).
(v - 10)**2*(v + 1)**2/2
Let l(k) be the first derivative of k**5/40 - 5*k**4/32 - k**3/12 + 17*k + 7. Let z(n) be the first derivative of l(n). Let z(x) = 0. Calculate x.
-1/4, 0, 4
Let v(h) = h**2 + 4*h + 4. Let r be v(-6). Let x be (49/(-7))/(-56) - (-38)/r. Factor x*i**3 + 5/2*i + 0 - 5*i**2.
5*i*(i - 1)**2/2
Suppose 0 = 5*z + 4*z - 18. Let q(v) be the second derivative of 0*v**3 + 1/15*v**6 + 0*v**z + 10*v + 1/10*v**5 + 0 - 1/3*v**4. What is s in q(s) = 0?
-2, 0, 1
Let s be 198/22 + 265/70*-2. Factor 2/7*l**2 + s + 12/7*l.
2*(l + 1)*(l + 5)/7
Let j = -68 - -70. Factor 33*l**3 - 60*l**j + 600*l - 1482 - 31*l**3 - 518.
2*(l - 10)**3
Let s be ((-13)/(-4))/((-3)/12*-1). Suppose -18*x = -s*x. Factor 4/7*v**3 + x - 2/7*v**2 + 2/7*v**4 - 4/7*v.
2*v*(v - 1)*(v + 1)*(v + 2)/7
Let c(d) be the third derivative of d**7/18900 - d**6/1800 - 5*d**4/12 + 16*d**2. Let w(s) be the second derivative of c(s). Factor w(a).
2*a*(a - 3)/15
Let y(c) be the third derivative of 0*c + 0*c**4 + 16*c**2 + 0*c**3 - 1/45*c**5 - 1/180*c**6 + 0. Determine v, given that y(v) = 0.
-2, 0
Let c(o) = o**3 - 4*o**2 + 13*o - 6. Let g(t) be the first derivative of 3*t**4/4 - 3*t**3 + 13*t**2 - 12*t - 19. Let n(p) = -7*c(p) + 3*g(p). Factor n(y).
(y - 2)*(y + 3)*(2*y - 1)
Let i(u) = u**2 + 9*u. Suppose s - 10 = 2*s. Let c be i(s). Factor 12*q - 4*q**2 - 9*q - 2 - 7*q + c.
-4*(q - 1)*(q + 2)
Let k = -246/47 - -1125/188. Factor -9/2*p + k*p**2 + 27/4.
3*(p - 3)**2/4
Let c(t) = -5*t**3 + 58*t**2 - 976*t + 5836. Let v(y) = -y**3 + y**2 - y + 1. Let z(h) = c(h) - 4*v(h). Determine g, given that z(g) = 0.
18
Let j = -29258 - -29261. Factor 5/3 - j*r + r**2 + 1/3*r**3.
(r - 1)**2*(r + 5)/3
Determine g, given that -2/9*g**2 + 0 + 0*g = 0.
0
Factor 1231*u - 1091*u + u**3 - 9*u**2 + 151*u**2 + u**3.
2*u*(u + 1)*(u + 70)
Let a(x) = 2*x**3 - 4*x**2 - 28*x + 18. Let k(p) = 3*p**3 - 4*p**2 - 28*p + 19. Let u(h) = -5*a(h) + 6*k(h). Solve u(v) = 0 for v.
-2, 1, 3/2
Let w(q) = q**3 + 8*q**2 + 8*q + 9. Let s be w(-7). Suppose 4 = -v - v - 3*m, 0 = 3*m + 12. Factor -5*x**5 - x**3 - v*x**4 + 8*x**5 - 2*x**s + 0*x**2 + 4*x**2.
x**2*(x - 1)**2*(3*x + 2)
Let o(u) = 27*u + 28. Let s be o(-1). Let f(m) be the first derivative of 4/3*m + 1/6*m**4 + 2/3*m**3 - s - 2/15*m**5 - 5/3*m**2. Factor f(c).
-2*(c - 1)**3*(c + 2)/3
Let k(d) be the third derivative of d**7/42 - d**6/4 - 31*d**5/12 + 15*d**4/2 + 16*d**2 + 11. Suppose k(t) = 0. Calculate t.
-4, 0, 1, 9
Let p(s) = -s**3 + s. Let g(x) = -60*x**5 - 335*x**4 - 355*x**3 + 410*x**2 + 295*x + 45. Let l(n) = -g(n) - 5*p(n). Solve l(h) = 0.
-3, -1/3, -1/4, 1
Let n be -1 + 0 - 3/1. Let a = 8 + n. Factor -4*w**