, -1
Suppose c - 2 = -0. Let q = c + 1. Find z, given that -3*z + 0*z**2 + 6 - q*z**2 + 0*z = 0.
-2, 1
Let j(l) = l**3 + 8*l**2 + 7*l + 4. Let b be j(-7). Let z = b - 2. Factor 0*u + 2*u + z - 5*u - 5*u**2.
-(u + 1)*(5*u - 2)
Let t(d) = 1. Let c(b) = 3*b**3 + 24*b**2 + 63*b + 36. Let q(h) = -c(h) - 18*t(h). Determine y, given that q(y) = 0.
-3, -2
Factor 6 + 3*k + 27*k**3 + 26*k**3 - 56*k**3 - 6*k**2.
-3*(k - 1)*(k + 1)*(k + 2)
Factor 3/4*d**2 + 15/4*d**4 + 3/2*d**5 + 0*d + 3*d**3 + 0.
3*d**2*(d + 1)**2*(2*d + 1)/4
Let q(g) = 8 - g**2 + 2*g**2 + 2*g - 4*g - 5*g. Let b be q(6). Solve 8*k + 4*k**2 - k**b - 5*k = 0 for k.
-1, 0
Let k(w) = -w**3 - 4*w**2 + 5*w + 2. Let s be k(-5). Factor 0*h**s - 4*h**3 + 2*h**4 + 4*h**2 - 4*h**4 - 6*h**2.
-2*h**2*(h + 1)**2
Let l(g) be the second derivative of -g**6/18 - g**5/2 - 5*g**4/9 + 5*g**3/3 + 25*g**2/6 - 3*g - 15. Let l(r) = 0. Calculate r.
-5, -1, 1
Let g(q) = -39*q**5 + 120*q**4 - 294*q**3 + 429*q + 24. Let n(y) = -8*y**5 + 24*y**4 - 59*y**3 + 86*y + 5. Let s(k) = 5*g(k) - 24*n(k). Factor s(p).
-3*p*(p - 3)**3*(p + 1)
Let z(u) be the third derivative of -u**5/180 + u**4/36 - u**3/18 - 11*u**2. Factor z(o).
-(o - 1)**2/3
Let d(c) be the third derivative of 0*c + 1/60*c**5 + 0*c**3 + 1/12*c**4 + 3*c**2 + 0 - 1/120*c**6. Factor d(r).
-r*(r - 2)*(r + 1)
Determine p so that 6*p**3 + 4*p**2 + 0*p**3 - 8*p**3 = 0.
0, 2
Let d(o) be the first derivative of 27/5*o**5 - 3*o**2 + 0*o + 5*o**3 + 12*o**4 + 9. Factor d(b).
3*b*(b + 1)**2*(9*b - 2)
Suppose -3*z = -7 + 16. Let l be (8/z - -2) + 1. Factor l*q**2 + 0*q + 1/3*q**3 + 0.
q**2*(q + 1)/3
Suppose 0*q**3 + 4*q**5 + 19*q - 4*q**3 - 15*q - 4*q**3 = 0. What is q?
-1, 0, 1
Let t(c) = c**3 - c**2 - c. Let g(o) = o**5 + 11*o**4 + 45*o**3 + 91*o**2 + 82*o + 27. Let p(b) = 2*g(b) + 2*t(b). Factor p(w).
2*(w + 1)**2*(w + 3)**3
Let b(g) be the second derivative of -9*g**5/5 + 5*g**4/6 + g**3/6 - g**2 - 2*g. Let x(k) = k**2 - k + 1. Let c(h) = 2*b(h) + 4*x(h). Factor c(p).
-2*p*(6*p - 1)**2
Factor 5 - 2*s**2 - 9 - 2*s**2 - 9*s + s.
-4*(s + 1)**2
Let -4*l - 10 + 52*l**2 + 19*l - 57*l**2 = 0. What is l?
1, 2
Suppose 2*n = 3 + 7. Let k(f) be the second derivative of 11/10*f**n + 1/3*f**3 + 0 + f - 3/2*f**4 - 4/15*f**6 + f**2. Factor k(h).
-2*(h - 1)**3*(4*h + 1)
Let h(s) be the first derivative of 4*s**3/3 - 2*s**2 - 8*s - 2. Solve h(g) = 0 for g.
-1, 2
Let g(l) be the first derivative of l**4/4 + l**3 + 3*l**2/2 + l + 5. Factor g(p).
(p + 1)**3
Let c(d) be the third derivative of d**6/100 + 37*d**5/150 + 2*d**4 + 12*d**3/5 - 13*d**2. Suppose c(r) = 0. Calculate r.
-6, -1/3
Factor 2*k**2 + k**2 + 0*k + k**2 - k.
k*(4*k - 1)
Let g(q) = -4*q + 15. Let a(x) = x - 1. Let o(k) = -5*a(k) - g(k). Let d be o(-10). Determine r so that 0 + d*r + 2/3*r**4 + 0*r**2 + 2/3*r**3 = 0.
-1, 0
Factor 44*g**3 - 1 + 28*g**2 - 9*g + 20*g**4 + 1 + 13*g.
4*g*(g + 1)**2*(5*g + 1)
Let n(l) be the third derivative of 5*l**7/14 + l**6/8 - 4*l**5/5 + l**4/2 + 3*l**2. Suppose n(d) = 0. Calculate d.
-1, 0, 2/5
Let x = -169 - -171. Find i, given that -2*i**4 + 8/5 + 2/5*i**5 + 14/5*i**3 - 16/5*i + 2/5*i**x = 0.
-1, 1, 2
Let w be 5 + (1 - 0) + -28 + 26. Let l(n) be the second derivative of 0 - 4*n + 0*n**2 + n**3 + 1/2*n**w + 3/40*n**5. Find t, given that l(t) = 0.
-2, 0
Factor 0*i**4 + 0*i + 2/3*i**5 + 4/3*i**2 - 2*i**3 + 0.
2*i**2*(i - 1)**2*(i + 2)/3
Let b(k) be the first derivative of -k**4/6 + 4*k**3/3 - 4*k**2 + 10*k + 7. Let c(y) be the first derivative of b(y). Suppose c(i) = 0. What is i?
2
Factor 1/5*m**5 + 1/5*m + 6/5*m**3 - 4/5*m**2 + 0 - 4/5*m**4.
m*(m - 1)**4/5
Let h = -6 - 3. Let k(v) = 4*v**4 + 11*v**3 + 9*v**2 + v - 5. Let a(p) = 8*p**4 + 22*p**3 + 18*p**2 + 2*p - 11. Let c(d) = h*k(d) + 4*a(d). Factor c(z).
-(z + 1)**3*(4*z - 1)
Suppose 8*k = 5*k - 3*k. Let m(z) be the second derivative of -1/15*z**3 - 4*z + 0 + k*z**2 + 2/15*z**4. Factor m(j).
2*j*(4*j - 1)/5
Suppose -5*g = -4*l + 29 + 2, 0 = -5*l - 4*g + 8. Suppose 7 = -l*o + 71. Let 3*m**2 + 12*m**3 - 27*m**2 - m**4 - m**4 + o*m = 0. What is m?
0, 2
Find l, given that 22*l**3 - 4*l**2 + 4 - 11*l**3 - 7*l**3 - 4*l = 0.
-1, 1
Let g(r) be the second derivative of r**9/2268 + r**8/630 + r**7/630 - r**3/3 - 8*r. Let w(z) be the second derivative of g(z). Factor w(j).
4*j**3*(j + 1)**2/3
Let c(p) = p**4 + 3*p**3. Let s(k) = 4*k**3. Let a(m) = 4*c(m) - 3*s(m). Factor a(z).
4*z**4
Let r(n) be the second derivative of n**7/840 + n**3/2 - n. Let f(h) be the second derivative of r(h). Factor f(s).
s**3
Suppose -24 = -2*l - 4*t, -19*t = l - 23*t + 18. Let w(n) be the first derivative of 1 + 3/2*n**l + 0*n - 2*n**3. Suppose w(j) = 0. Calculate j.
0, 1/2
Let c(n) be the first derivative of 3/2*n**4 + 2/5*n**5 + 13/6*n**3 + 5 + 3/2*n**2 + 1/2*n. Let c(g) = 0. What is g?
-1, -1/2
Determine k, given that -5*k**4 + 4*k**2 - 9*k**3 + 12*k - 3*k**3 - 3*k**4 + 4*k**4 = 0.
-3, -1, 0, 1
Factor 9/2 - 3/2*r**2 + 3*r.
-3*(r - 3)*(r + 1)/2
Let m be (-2)/2*-3 + 29. Let a be (792/m)/(-3 + 4). Determine d so that 21/4*d - 1/2 + 131/4*d**3 - 79/4*d**2 + 7*d**5 - a*d**4 = 0.
1/4, 2/7, 1
Let c(o) = o**2 + o - 2. Let q be -18 - 9/3 - 0. Let z(g) = 4*g**2 + 4*g - 7. Let n(f) = q*c(f) + 6*z(f). Factor n(b).
3*b*(b + 1)
Suppose 4*u - 21 = u. Let f(h) = h - 5. Let s be f(u). Factor 3*z**2 + 2*z - 3*z**s + z**2.
z*(z + 2)
Let k be (-2)/4 - 90/20. Let s be (15/(-18))/(k/9). Factor -3/2*q**2 + 3/2 + s*q**3 - 3/2*q.
3*(q - 1)**2*(q + 1)/2
Suppose -2*g = 2*g - 16. Determine w so that 6*w**2 + w**4 + 2*w**g - 2*w**3 - 8 - 2*w**4 + 4*w - 3*w**3 = 0.
-1, 2
Suppose -2 = 2*j, 5*i - 10 = -2*j + 3. Let a be ((i + -3)/(-3))/(-3). Find f, given that a*f - f**2 + 1 + f + 1 = 0.
-1, 2
Suppose 2*g - 5*g + 2*g = 0. Suppose -3/5*b + g*b**2 + 3/5*b**3 + 0 = 0. Calculate b.
-1, 0, 1
Let i be (-136)/51*(-3)/10. Find n, given that -6/5 - 2/15*n**2 + i*n = 0.
3
Let n(j) be the third derivative of 0*j + 1/9*j**3 - 1/120*j**5 - 1/720*j**6 + 0*j**4 - 4*j**2 + 0. Factor n(t).
-(t - 1)*(t + 2)**2/6
Suppose -4/5*a - 2/5*a**2 - 6/5*a**5 + 0 + 2*a**3 + 2/5*a**4 = 0. Calculate a.
-1, -2/3, 0, 1
Let q(p) = -4*p**3 + 36*p**2 - 113*p + 103. Let k(n) = -n - 1. Suppose -3*t + 1 - 16 = 0. Let r(m) = t*k(m) + q(m). Solve r(s) = 0 for s.
3
Suppose -56*g - 9*g = 0. Solve g*n + 1/3*n**2 - 4/3 = 0 for n.
-2, 2
Suppose 6*y - 5 = y + 4*v, -4*y - 5*v = -45. Suppose 5*h + 26 = r, 3*h + 5 = -y*r - 5. Determine f, given that -2*f**2 + r - 2*f + 2 + 1 = 0.
-2, 1
Let 50*q - 163*q + 56*q - 15*q**2 + 47*q - 5*q**3 = 0. What is q?
-2, -1, 0
Factor -25/3*a**5 - 4/3*a + 0 + 10*a**4 - 4*a**2 + 11/3*a**3.
-a*(a - 1)**2*(5*a + 2)**2/3
Let l(a) be the first derivative of -a**5/60 - a**4/9 - 2*a**3/9 + 4*a - 3. Let s(f) be the first derivative of l(f). What is g in s(g) = 0?
-2, 0
Let w = 21 + -5. What is n in -2*n**3 - 18*n + n**2 - 5*n**2 + w*n = 0?
-1, 0
Let m = -199 + 1023/5. Factor 8/5 - 28/5*z - 8/5*z**2 + m*z**3.
4*(z - 1)*(z + 1)*(7*z - 2)/5
Let u(b) be the third derivative of b**5/210 + 2*b**4/21 + 16*b**3/21 - 32*b**2. Determine s so that u(s) = 0.
-4
Factor -16 + 4*l**4 + 4*l**3 + l**4 - 4*l**4 - 16*l.
(l - 2)*(l + 2)**3
Let w = 14 - -6. Let t be w/21 - 34/119. Find p, given that -4/3*p - t - 2/3*p**2 = 0.
-1
Let c(b) be the first derivative of 3*b**5/20 - 6. Factor c(f).
3*f**4/4
Suppose 3*h + 3*l - 6 = 0, -h - 2*l = l - 8. Let y be 1*h + 5/5. Factor -j**2 + 1/3*j**3 + j**4 - 1/3*j + y.
j*(j - 1)*(j + 1)*(3*j + 1)/3
Let j(b) = -b**3 + 2*b**2 + 6*b - 2. Let p be j(-2). Suppose 8/3*y**3 + 0 + 4/3*y**p + 4/3*y**4 + 0*y = 0. What is y?
-1, 0
Let g be (1 + -1)/(-2 - (-5 + 1)). Let h(n) be the second derivative of -3*n + 0*n**3 + 0*n**2 + 1/48*n**4 + g. Factor h(o).
o**2/4
Let q = -66 - -66. Find r such that q - 1/2*r**2 + 0*r = 0.
0
Let v(f) be the first derivative of 0*f - 1/2*f**4 + 0*f**5 + 3 + 1/2*f**2 + 0*f**3 + 1/6*f**6. What is q in v(q) = 0?
-1, 0, 1
Let s(g) be the first derivative of 2*g**5/15 - g**4/3 + 2*g**2/3 - 2*g/3 + 4. What is x in s(x) = 0?
-1, 1
Let v(n) = -n**3 - 2*n**2 + n + 4. Let z be v(-3). Suppose -2*g - 2*c = -18, 2*c + z = g + 4*g. Factor -b + 7/2*b**g + 3/2*b**2 + 6*b**3 + 0.
b*(b + 1)**2*(7*b - 2)/2
Let b(q) be the third derivative of q**6/420 - q**5/30 + 11*q**4/84 - 5*q**3/21 - 27*q**2. Solve