 -q**5 - 14*q**4 + 4*q**3 + 5*q**2 - 5*q - 11. Let b = 5 + -7. Let a(z) = b*f(z) + 11*c(z). Factor a(t).
t*(t - 1)**3*(2*t + 1)
Let f(d) be the second derivative of -d**5/60 - d**4/4 - 3*d**3/2 - 2*d**2 + 8*d. Let u(s) be the first derivative of f(s). Solve u(w) = 0 for w.
-3
Let q = -122 + 2929/24. Let t(a) be the second derivative of 1/4*a**2 + a - 1/48*a**4 - q*a**3 + 0. Solve t(j) = 0.
-2, 1
Let q(b) be the second derivative of 0 + 1/8*b**4 - b - 1/4*b**3 + 0*b**2. Factor q(g).
3*g*(g - 1)/2
Let w(s) = -s**2. Let u(f) = 5*f - 2. Let a(d) = 4*u(d) - 28*w(d). Find x such that a(x) = 0.
-1, 2/7
Factor -2/11*r**2 + 0*r + 2/11*r**4 - 2/11*r**5 + 2/11*r**3 + 0.
-2*r**2*(r - 1)**2*(r + 1)/11
Let s(l) = l**2 + 1. Let q(n) = -6*n**2 + 12*n - 2. Let w(k) = q(k) + 2*s(k). Let w(r) = 0. Calculate r.
0, 3
Let q(g) be the first derivative of -g**4/4 - 13*g**3/9 - 2*g**2/3 + 7. Factor q(j).
-j*(j + 4)*(3*j + 1)/3
Let b(a) be the first derivative of 0*a**2 - 1/6*a**4 + 0*a + 2/9*a**3 - 3. Suppose b(s) = 0. What is s?
0, 1
Let c(b) = -b**3 + 6*b**2 + 2. Let u be c(6). Factor -7*v**u + 4*v**2 - v + 7*v.
-3*v*(v - 2)
Let z be (-44)/(-48) + 3/(-12). Suppose -1/3*i**2 - i - z = 0. What is i?
-2, -1
Suppose 0 = z - 0 - 4. Suppose -z*r + 9 = -7. Factor 2*o + 2*o**5 + 4*o**2 - 4*o - 3*o**r - o**4.
2*o*(o - 1)**3*(o + 1)
Let z(s) = -s**4 + s + 1. Let l(q) = 4*q**4 + q**3 + 3*q**2 - 6*q - 7. Let p(x) = 2*l(x) + 10*z(x). Factor p(b).
-2*(b - 2)*(b - 1)*(b + 1)**2
Let y = -535 - -1607/3. Factor 2/9*z**2 + y - 8/9*z.
2*(z - 3)*(z - 1)/9
Let -13 - 13 + 24 - 30*a**2 - 32*a = 0. What is a?
-1, -1/15
Let -3/2*o + 0*o**2 - 1 + 1/2*o**3 = 0. What is o?
-1, 2
Let v = -62 - -107. Let t = -134/3 + v. Determine c, given that 1/3*c**2 + 1/3*c**3 - t - 1/3*c = 0.
-1, 1
Let z(p) be the first derivative of -7*p**6/24 + 3*p**5/5 + p**4/4 - 7*p**3/6 + 3*p**2/8 + p/2 + 13. Solve z(r) = 0.
-1, -2/7, 1
Let n(v) be the second derivative of 7*v**6/135 - v**5/10 + v**4/27 + 6*v. Factor n(z).
2*z**2*(z - 1)*(7*z - 2)/9
Let i(n) be the first derivative of -n**6/2 - 3*n**5 - 6*n**4 - 4*n**3 - 7. Suppose i(k) = 0. What is k?
-2, -1, 0
Suppose 2*u = -3*h + 5, -5*h + 5*u = -2*h - 19. Let s(p) be the first derivative of 0*p + 1/5*p**4 + 3 - 2/15*p**h - 2/25*p**5 + 0*p**2. Solve s(f) = 0.
0, 1
Let x be (1/(-4))/((-9)/(-387)). Let v = x + 137/12. Determine n so that 2/3*n**3 + 0 + v*n**2 + 0*n = 0.
-1, 0
Let m(w) = -w**2 + 9*w + 3. Let d be m(9). Let v be 3 - (d - (-3)/(-12)). Factor 1/4*a**2 + 0 + 0*a + v*a**3.
a**2*(a + 1)/4
Let l be (3/(-9))/(-9 + (-536)/(-60)). Factor 0 - 2/3*u**l + 0*u - 2/3*u**4 + 0*u**3 + 0*u**2.
-2*u**4*(u + 1)/3
Let c(k) be the first derivative of -5/4*k**5 - 1/2*k**3 + 3/10*k**6 + 7/4*k**4 + 2*k + 2 - k**2. Let m(t) be the first derivative of c(t). Factor m(o).
(o - 1)**3*(9*o + 2)
Let h(y) = -y. Let n(a) = -9*a**2 + 24*a - 4. Let z(w) = -4*h(w) - n(w). Determine u so that z(u) = 0.
2/9, 2
Suppose -39*i + 40*i = 3. What is a in -2/5*a**4 + 0*a**2 + 0*a + 0 + 0*a**i + 2/5*a**5 = 0?
0, 1
Factor 0*g**2 + 6/7*g - 2/7*g**3 + 4/7.
-2*(g - 2)*(g + 1)**2/7
Let r be 4/(-8)*(-8)/22. Let c = r + 7/22. Factor c*w**3 + 1/2*w**2 + 0 + 0*w.
w**2*(w + 1)/2
Let p = 7 + -2. Let x = p + -3. Let -x*h**2 - h + 2*h + h = 0. What is h?
0, 1
Let o(t) be the second derivative of t**5/60 - t**3/18 - 11*t. Factor o(u).
u*(u - 1)*(u + 1)/3
Let q = 2013/7 + -287. Factor -2/7*t**3 - q*t**2 + 0*t + 0 + 30/7*t**4.
2*t**2*(3*t + 1)*(5*t - 2)/7
Suppose -3/7*m**2 + 6/7*m - 3/7*m**3 + 0 = 0. Calculate m.
-2, 0, 1
Let s(o) = 5*o**2 - 17*o + 17. Let t(u) = 5*u**2 - 18*u + 18. Let x(h) = -2*s(h) + 3*t(h). Let x(c) = 0. Calculate c.
2
Let b(r) = -65*r + 1. Let f be b(14). Let z = 11823/13 + f. Let 0*d**2 + 0 - z*d**5 + 4/13*d**4 + 0*d + 0*d**3 = 0. Calculate d.
0, 2/3
Let l be 0 + (-3 - 0) + 13. Let q(r) = -r**3 + r**2 + r. Let h(x) = 3*x**3 - 3*x**2 - x. Let k(w) = l*q(w) + 2*h(w). Let k(v) = 0. What is v?
-1, 0, 2
Let n = 19 - 13. Let q(h) = -h**2 - 3*h. Let a(o) = -2*o**2 - 4*o + 1. Let r(g) = n*q(g) - 4*a(g). Factor r(p).
2*(p - 2)*(p + 1)
Let g be ((-1)/3)/(4/(1 + -25)). Factor -1/2*a - 1/2*a**g + 0.
-a*(a + 1)/2
Let l(h) be the third derivative of -h**7/42 + 5*h**5/12 - 10*h**3/3 - 4*h**2. Find d, given that l(d) = 0.
-2, -1, 1, 2
Let y be (4 + -2)/((-1)/(-2)). Suppose n + r = 0, -19 = -3*n + y*r + 2. Let a**3 + 5*a**5 - 3*a**3 - 6*a**5 + 3*a**n = 0. What is a?
-1, 0, 1
Factor -1/7*w**5 + 0 - 1/7*w**4 + 0*w**2 + 0*w + 2/7*w**3.
-w**3*(w - 1)*(w + 2)/7
Let b = 7 - 4. Factor n - 4 - n + n**2 + b.
(n - 1)*(n + 1)
Suppose -12 = -5*k - 2. Factor -3*x**2 + 8*x + x**2 + 3*x**k - 9*x**2 + 2*x**3.
2*x*(x - 2)**2
Let y(r) be the second derivative of -3*r**5/20 + r**3/2 - r. Determine n, given that y(n) = 0.
-1, 0, 1
Let t(v) = -9*v**3 + 21*v**2 - 21*v + 9. Let i(m) = -26*m**3 + 62*m**2 - 63*m + 27. Let w(k) = -6*i(k) + 17*t(k). Solve w(c) = 0 for c.
1, 3
Let r = 561 + -559. Suppose 0 - 4/7*a + 10/7*a**r = 0. What is a?
0, 2/5
Let m(k) = 3*k**3 - 5*k**2 - 2*k. Let j(p) = -2*p**3 + 5*p**2 + 2*p. Let x(w) = -5*j(w) - 4*m(w). Solve x(b) = 0 for b.
-2, -1/2, 0
Factor -7*i + 10*i + i**3 - 4*i**3.
-3*i*(i - 1)*(i + 1)
Suppose -2*c = -g - 34, -3*g = 5*c - 63 - 44. Suppose -4*u + 0*a = -a - 16, -u + c = -4*a. Factor -3 + 3 - x**2 + u*x**2 - 2*x.
2*x*(x - 1)
Let m = 436 - 226. Let t be (-24)/m + 2/5. Determine x so that 0*x + 2/7*x**5 + 6/7*x**3 - 6/7*x**4 + 0 - t*x**2 = 0.
0, 1
Factor -2/9*y**2 + 2/9 + 8/9*y**3 - 8/9*y.
2*(y - 1)*(y + 1)*(4*y - 1)/9
Suppose 4*a = a + 12. Suppose a*j - 5*s = 18, -2 = -j + s + 2. Find l such that j*l**4 - 5*l + 2*l**3 + 5*l = 0.
-1, 0
Suppose i - 2 = -0*i. Suppose -p = -4*p + a + 5, 0 = -2*p + 5*a - 1. Factor -5*s**2 + 2*s + i + 3*s**2 - p*s**3 + 0*s**2.
-2*(s - 1)*(s + 1)**2
Let f(s) be the first derivative of s**8/420 + s**7/105 + s**6/90 - 5*s**3/3 - 4. Let x(h) be the third derivative of f(h). Find y, given that x(y) = 0.
-1, 0
Let 0*u + 0 - 2/11*u**4 - 8/11*u**3 - 8/11*u**2 = 0. Calculate u.
-2, 0
Suppose 2*h + 3*h - 50 = 0. Let g = h - 6. Determine j so that 31*j**3 + 2*j + 2*j - j**3 - 22*j**g + 6*j**5 - 18*j**2 = 0.
0, 2/3, 1
Let j(u) be the second derivative of u**4/8 - u**3/2 + 3*u**2/4 + 8*u. Determine d, given that j(d) = 0.
1
Let -3/2*r - 1/3 + 5/6*r**2 = 0. Calculate r.
-1/5, 2
Suppose -3*c = -3*q - 12, 4*q + 3 = -3*c + 1. Let v(k) be the first derivative of -c*k - 4*k**3 + 3 - 4*k**2 - 2*k**4 - 2/5*k**5. Factor v(f).
-2*(f + 1)**4
Let n(u) = -3*u**2 + 10*u - 4. Let b be (-2)/(-6) + 5/3. Let s(m) = -6*m**2 - 6*m**2 + 39*m - b*m**2 + 2*m**2 - 15. Let i(f) = -15*n(f) + 4*s(f). Factor i(d).
-3*d*(d - 2)
Suppose 0 = 3*t - 3 - 3. Suppose -a = t*a - 12. Suppose -3*c**a + c**3 + 2*c - 3*c + 3*c**2 - 2 + 2*c**4 = 0. What is c?
-1, 1, 2
Let z = -19 + 23. Solve -2 + 9*o**2 + 2*o**2 - z*o - 4 - 9*o**2 = 0.
-1, 3
Let i(k) = -k**4 + k**3 - k**2 - k. Let g(a) = -2*a**5 - 13*a**4 - 15*a**3 - 17*a**2 - 7*a. Let y(c) = g(c) - 3*i(c). Let y(t) = 0. What is t?
-2, -1, 0
Let m(z) = 2*z**4 + 9*z**3 + 7*z**2 + 3*z - 8. Let v(h) = h**4 + 4*h**3 + 3*h**2 + 2*h - 4. Let a(n) = 6*m(n) - 13*v(n). Find w, given that a(w) = 0.
-2, 1, 2
Let a = 20 + -17. Let b(n) be the first derivative of 2/9*n**a - 3 + 2/3*n - 2/3*n**2. Factor b(q).
2*(q - 1)**2/3
Let n(f) = -f**5 + f**2 + f + 1. Let y(u) = 6*u**5 + 2*u**4 - 7*u**2 - 6*u - 5. Let p(o) = -5*n(o) - y(o). Factor p(i).
-i*(i - 1)*(i + 1)**3
Solve 6/5*x**5 + 4/5*x**4 + 4/5 + 6/5*x - 12/5*x**3 - 8/5*x**2 = 0 for x.
-1, -2/3, 1
Determine n so that -76/9*n**2 + 64/9 + 128/9*n + 10/9*n**3 = 0.
-2/5, 4
Let c(f) be the second derivative of -f**5/60 - f**4/36 - 5*f. Let c(v) = 0. What is v?
-1, 0
Suppose 9 = -3*y - l + 4*l, -16 = 2*y - 4*l. Suppose h + 0*h - y = 0. Determine m, given that 2/5*m**h + 4/5*m + 0 = 0.
-2, 0
Find a such that -12 + 3*a**2 + 2*a**3 - 48*a - 11*a**3 - 42*a**2 = 0.
-2, -1/3
Suppose 0*m + 6*m**2 + 6*m**3 - 8*m**3 - 4*m = 0. Calculate m.
0, 1, 2
Let g = 7 - 3. Suppose -g*s + 4 = -4. Solve 5 - 21*x**3 - 2 - 4*x**2 - x**2 + 2*x**s + 9*x + 12*x**5 = 0.
-1, -1/2, 1
Let m be ((-2)/3)/(32/(-36)). Let z be (-114)/(-168) - (-3)/(-7). Suppose m*f**2 + z + f = 0. Calculate f.
-1, -1/3
Suppose 0 = -3*u - 2*u + 20. Let d be 5/u + (-6)/(-8). Factor -2/5