 is r in b(r) = 0?
-1, 0, 1
Let q = -11219/60 + 187. Let k(t) be the second derivative of t + 0 + 0*t**2 - q*t**6 + 1/24*t**4 + 0*t**3 + 0*t**5. Find m, given that k(m) = 0.
-1, 0, 1
Let o(z) be the third derivative of z**6/30 - 2*z**5/15 - 5*z**2. Solve o(k) = 0 for k.
0, 2
Let l be (1 + -1 + 1)*3. Let h be 44/10 - (-12)/(-3). Suppose -6/5*w**2 - 2/5 - h*w**l - 6/5*w = 0. What is w?
-1
What is j in -j**2 - 5/3 + 1/3*j**3 - 3*j = 0?
-1, 5
Suppose 5*c = 5*j + 40, c = -2*j + 3 - 7. Factor -8*m**2 + c - 9*m**2 + 13*m**2 - 6*m.
-2*(m + 2)*(2*m - 1)
Let t(z) be the second derivative of z**10/45360 - z**9/11340 - z**4/6 - 5*z. Let n(g) be the third derivative of t(g). Solve n(d) = 0.
0, 2
Let j(n) be the third derivative of n**9/8064 + n**8/1120 + 3*n**7/1120 + n**6/240 - n**5/60 - 3*n**2. Let k(l) be the third derivative of j(l). Factor k(f).
3*(f + 1)**2*(5*f + 2)/2
What is j in -24 + 4*j - 3 + j - 3*j**2 + 13*j = 0?
3
Suppose -32*p**2 + 3*p + 343*p**4 - 327*p**4 + 16 + p - 8*p**3 + 4*p**5 = 0. What is p?
-4, -1, 1
Let y(o) = o**5 + 13*o**4 + 37*o**3 + 23*o**2 - 2*o. Let k(z) = -2*z**5 - 27*z**4 - 75*z**3 - 45*z**2 + 5*z. Let h(s) = 4*k(s) + 10*y(s). Factor h(d).
2*d**2*(d + 1)*(d + 5)**2
Let a = 62411033/57 + -1094903. Let m = a + -204/19. Factor -m*c**2 + 40/3*c - 8/3.
-2*(5*c - 2)**2/3
Let g(q) = 5*q**4 + 10*q**3 - 5*q**2 - 10*q - 10. Let c(x) = -2*x**4 - 3*x**3 + 2*x**2 + 3*x + 3. Let t(p) = 10*c(p) + 3*g(p). Factor t(r).
-5*r**2*(r - 1)*(r + 1)
Let p(g) be the second derivative of -3*g**5/20 - g**4/2 - g**3/2 - 4*g. Let p(s) = 0. What is s?
-1, 0
Let p(f) = 6*f**3 + f**2 - 1. Suppose 0 = 3*h - 5*h + 2. Let n be p(h). Factor 14/3*v**3 + 4/3*v + 0 + n*v**2.
2*v*(v + 1)*(7*v + 2)/3
Let s = 5 - 1. Let v(m) be the third derivative of -1/180*m**6 + 0*m**3 + 0*m + 1/315*m**7 + 0*m**s + 0 + m**2 + 0*m**5. Solve v(w) = 0 for w.
0, 1
Let s(n) = n + 7. Let m be s(-5). Suppose 5*u = 3*z + 18, -6*u - z = -4*u - 5. Factor m + a**3 + 4*a**2 + 4*a**u + 5*a - 4*a**3.
(a + 1)**2*(a + 2)
Let l be (0 + 1)/((-6)/(-18)). Suppose 7*c = 3*c + 3*i - 15, -15 = -2*c - 3*i. Let 2/7*u**4 - 4/7*u + 4/7*u**l - 2/7 + c*u**2 = 0. What is u?
-1, 1
Determine l, given that 0*l + l**3 + 0 + l**2 + 1/4*l**4 = 0.
-2, 0
Let g = 25 + -13. Determine b so that g*b + 3*b**2 - 5 - 14*b + 4 - 4*b**2 = 0.
-1
Let x(o) be the first derivative of o**4/8 + o**3/6 - o**2 - 2*o + 1. Suppose x(w) = 0. What is w?
-2, -1, 2
Suppose 3*m + 51 + 133 = r, -4*m + 2*r - 248 = 0. Let o = 422/7 + m. Factor -2/7*c**2 - 2/7*c + 2/7 + o*c**3.
2*(c - 1)**2*(c + 1)/7
Let k = 124 - 121. Let j(p) be the first derivative of 0*p + 0*p**3 - 2 + 0*p**2 + 3/2*p**6 + 24/5*p**5 + k*p**4. Factor j(u).
3*u**3*(u + 2)*(3*u + 2)
Let p(l) be the first derivative of -l**5/4 + 11*l**4/8 - 7*l**3/3 + l**2 - 8. Factor p(t).
-t*(t - 2)**2*(5*t - 2)/4
Let b(w) be the third derivative of 0*w - 1/1440*w**6 - 2*w**2 + 1/3*w**3 + 1/480*w**5 + 0*w**4 + 0. Let l(k) be the first derivative of b(k). Factor l(j).
-j*(j - 1)/4
Suppose -3*u + 0*u = -6. Suppose u*n = n + 10. Factor -2*m**4 - m**4 + n*m**3 + 7*m**4 + 8*m**2 + 2*m.
2*m*(m + 1)**2*(2*m + 1)
Let m be (-18)/(-10) - (-1)/5. Suppose 0 = -4*o - 5*v - 2 + 30, 2*o - 2*v = -4. Factor -o + 27*x**m + 83 - 50*x - 3*x**3 - 31*x.
-3*(x - 3)**3
Let a(x) = -x**3 - x**2 + 1. Let o(u) = -2*u + 4 - 3*u**4 + 10*u**4 - 2*u**3 + u**3 - 7*u**2 + 3*u**5. Let k(l) = 4*a(l) - o(l). Factor k(v).
-v*(v + 1)**3*(3*v - 2)
Suppose -g = -5*g + 8. Let u be 2 - 0/(1/(-1)). Factor -2*a**4 - g*a**3 + 5 + a**5 - 5 + a**3 + u*a**2.
a**2*(a - 2)*(a - 1)*(a + 1)
Suppose 5*a - 2*a = 9, -2*v - 31 = -3*a. Let i = v + 11. Factor 2/3*b**2 + i - 1/3*b - 1/3*b**3.
-b*(b - 1)**2/3
Let u(d) = -d**3 + 33*d**2 + 2*d - 63. Let r be u(33). Solve -2/11*b - 4/11*b**2 + 4/11 + 2/11*b**r = 0.
-1, 1, 2
Let v = -3 - -4. Let f be 0 + v + -1 + 4. Determine b, given that 2*b**5 + 7*b**3 - f*b**3 - 4*b**4 - b**3 = 0.
0, 1
Let y(h) be the first derivative of 5*h**6/6 + 7*h**5 + 45*h**4/2 + 100*h**3/3 + 20*h**2 + 10. Let y(s) = 0. Calculate s.
-2, -1, 0
Suppose 4*w + 16 = -f, -4*f + 5*w = -f - 37. Let j(u) be the second derivative of -2*u**2 + u - 1/12*u**f + 2/3*u**3 + 0. Factor j(y).
-(y - 2)**2
Let m(i) be the third derivative of 0 + 0*i - i**2 + 0*i**3 + 7/60*i**6 + 1/70*i**7 + 1/3*i**5 + 1/3*i**4. Let m(g) = 0. What is g?
-2, -2/3, 0
Let d be 2 + (7 - 2) + 1. Let w = 12 - d. Suppose 2*l**w - 9*l**5 + 8*l**5 - 4*l**2 + l + 2*l**2 = 0. Calculate l.
-1, 0, 1
Suppose 2*f - 5 = 3. Let m = f - 2. Solve x**4 + 0*x - 2*x**3 + 0*x - 1 + m*x = 0 for x.
-1, 1
Factor -3/2*o**2 + 27/2 - 12*o.
-3*(o - 1)*(o + 9)/2
Factor t**2 - 7 - t**4 + 7.
-t**2*(t - 1)*(t + 1)
Let v(t) = -5*t**3 - 2*t**2 + t. Let b(s) = -s**3 - s**2 - s. Let z(y) = 2*b(y) - v(y). Factor z(c).
3*c*(c - 1)*(c + 1)
Suppose 4*o = -d + 4, 4*o - 5*o + 2*d = -10. Suppose -4*t + 2*t = -i - 2, o*t - 3*i = -2. Determine l, given that -2*l**2 - l - 4*l - 1 + l**t + 3*l = 0.
-1
Let i(l) = 5*l**3 + 21*l**2 + 11*l - 11. Let x(p) = p**3 + 4*p**2 + 2*p - 2. Let v(z) = 4*i(z) - 22*x(z). Solve v(k) = 0.
-2, 0
Let b(v) be the first derivative of 7*v**5/20 - v**4 + 11*v**3/12 - v**2/4 + 14. Factor b(z).
z*(z - 1)**2*(7*z - 2)/4
Factor 16 + 195*w + 44 - 10 + 70*w**2.
5*(2*w + 5)*(7*w + 2)
Let y be 31/(-248) + 0 + 2/8. Factor 1/8*f + 1/4 - y*f**2.
-(f - 2)*(f + 1)/8
Let n(l) be the second derivative of -l**6/1440 - l**5/120 - l**4/32 - l**3/6 - 2*l. Let o(h) be the second derivative of n(h). What is v in o(v) = 0?
-3, -1
Let y be 3 + -14 + 5 - (-340)/55. Factor 2/11*u**3 + 2/11*u**2 - y*u**5 - 2/11*u**4 + 0*u + 0.
-2*u**2*(u - 1)*(u + 1)**2/11
Let f(s) = s**3 - 6*s**2 - 2*s + 13. Let n be f(6). Suppose 2*u - w = n, w + 3 = u + 2. Determine v so that -3*v**2 - 3/4*v + u = 0.
-1/4, 0
Let d = 21 + -251/12. Let q(f) be the second derivative of -5/24*f**4 + d*f**3 + 1/42*f**7 + 0 - 7/60*f**6 - 3*f + 9/40*f**5 + 0*f**2. Solve q(r) = 0 for r.
0, 1/2, 1
Let x(r) be the third derivative of 1/20*r**5 + 0*r**3 + 0*r + 0 - 3*r**2 + 1/12*r**4 + 1/120*r**6. Determine n, given that x(n) = 0.
-2, -1, 0
Let k(g) be the first derivative of g**6/240 - g**5/60 + g**4/48 - g**2 - 3. Let q(j) be the second derivative of k(j). Factor q(o).
o*(o - 1)**2/2
Let j(g) be the first derivative of 9*g**4/20 - 11*g**3/15 + g**2/5 - 4. Factor j(r).
r*(r - 1)*(9*r - 2)/5
Factor -2*x + 5*x + 9*x**3 + 0*x + 9*x**2 + 3*x**4.
3*x*(x + 1)**3
Factor -6/7*h**3 + 4/7*h**2 + 0 + 4/7*h**4 - 1/7*h**5 - 1/7*h.
-h*(h - 1)**4/7
Let b(k) = -1128*k**2 + 303*k - 17. Let c(n) = -7895*n**2 + 2120*n - 120. Let d(h) = -20*b(h) + 3*c(h). Determine y so that d(y) = 0.
2/15
Let a(g) be the first derivative of 3*g**5/10 - 15*g**4/8 + 9*g**3/2 - 21*g**2/4 + 3*g - 15. Factor a(c).
3*(c - 2)*(c - 1)**3/2
Let d(w) = -w + 10. Let n be d(8). Factor -15*b**3 - 3 - 36*b**n - 1 - 3*b - 2 - 24*b.
-3*(b + 1)**2*(5*b + 2)
Let v(h) = h**2 - 4*h - 3. Let q be v(5). Factor 4*z + 3*z**q + 8 - z**2 - 6.
2*(z + 1)**2
Let b(l) = -5*l**3 + 15*l**2 + 11*l - 20. Let n(z) = z**3 - 3*z**2 - 2*z + 4. Let f(m) = 2*b(m) + 11*n(m). Let f(y) = 0. What is y?
-1, 2
Let a(y) = y**2 - 15*y - 11. Let n be a(16). Factor -2/9*g**n - 38/9*g**3 - 50/9*g**2 - 8/9 - 32/9*g - 14/9*g**4.
-2*(g + 1)**3*(g + 2)**2/9
Let a(r) be the first derivative of 2 + 8/11*r + 4/11*r**2 + 2/33*r**3. Let a(z) = 0. What is z?
-2
Let p = -18 - -18. Let x(f) be the third derivative of p*f + 1/180*f**6 + 1/90*f**5 + 0 - 1/36*f**4 + 2*f**2 - 1/9*f**3. Factor x(k).
2*(k - 1)*(k + 1)**2/3
Let l(g) = -3. Let t(m) = -1. Let p(x) = l(x) - 4*t(x). Let y(a) = 4 - 6*a + a**2 - 9 - 2*a**3 - 7*a**2. Let v(n) = -3*p(n) - y(n). Factor v(k).
2*(k + 1)**3
Let p be (2 + 0)/((-14)/7 - -3). Factor 8/5 + 2*b**p + 16/5*b + 2/5*b**3.
2*(b + 1)*(b + 2)**2/5
Let t = -8 - -20. Let b = t - 6. Factor 0 + 4*i**2 + 8/3*i**4 + 2/3*i + b*i**3.
2*i*(i + 1)**2*(4*i + 1)/3
Let w(o) be the first derivative of o**2/2 - o - 3. Let j be w(4). Suppose -m + 5*m - 5*m - m**2 + m**j + m**4 = 0. What is m?
-1, 0, 1
Let k(r) = -4*r. Let h be k(0). Suppose -4/15*w - 2/3*w**2 + 14/15*w**3 + h = 0. What is w?
-2/7, 0, 1
Let o(s) be the first derivative of -3*s**5/10 - 9*s**4/16 - s**3/4 + 9. Factor o(a).
-3*a**2*(a + 1)*(2*a + 1)/4
Let y(j) be the third deriva