0, 2
Let c(q) be the first derivative of -q**3/9 - 3*q**2 - 27*q + 54. Factor c(y).
-(y + 9)**2/3
Let b be -1 + 15/3 - 4. Let n(g) be the second derivative of 1/90*g**6 + b + 0*g**2 + 0*g**3 + 2*g - 1/36*g**4 + 1/126*g**7 - 1/60*g**5. Factor n(i).
i**2*(i - 1)*(i + 1)**2/3
Let h(m) be the first derivative of -5*m**4 - 52*m**3/3 - 22*m**2 - 12*m - 8. Factor h(r).
-4*(r + 1)**2*(5*r + 3)
Suppose 0 = 2*v + v - 5*u + 20, -16 = -4*u. Suppose -4*d = -v*d. Factor d*o + 0*o**3 + 2/5*o**4 + 0 - 2/5*o**2.
2*o**2*(o - 1)*(o + 1)/5
Let w(q) be the third derivative of -1/4*q**4 - 2*q**2 + 0*q**3 - 1/20*q**5 + 1/40*q**6 + 0*q + 0. Let w(u) = 0. What is u?
-1, 0, 2
Let h be 4 - 2*(1 + 0). Factor -2*z + 2*z + 2*z**h.
2*z**2
Suppose 11 = 2*d - 4*c - 1, -2*d + 13 = -5*c. Let a(t) be the first derivative of -4/3*t**2 + 4/3*t**3 - 4 + 5/6*t**d + 2/15*t**5 - 16/3*t. Factor a(n).
2*(n - 1)*(n + 2)**3/3
Let x = 1117/35 + -215/7. Find w, given that -1/5*w - 4/5*w**4 - x*w**3 - 1/5*w**5 + 0 - 4/5*w**2 = 0.
-1, 0
Let k = 2 + -4. Let u(m) = -2*m. Let c be u(k). Determine z, given that 0*z**5 - c + 3*z**5 + 4 = 0.
0
Let a be 6/39 + 105/(-936). Let l(g) be the second derivative of 0 + 0*g**2 + 1/6*g**3 + a*g**4 + g. Factor l(r).
r*(r + 2)/2
Let x(w) = -w**2 + 5*w + 3. Let g be x(6). Let b be (20/42)/(-5)*g. Factor b*z**2 + 6/7*z + 4/7.
2*(z + 1)*(z + 2)/7
Solve -14/13*b**3 + 14/13*b + 4/13*b**2 - 4/13 = 0.
-1, 2/7, 1
Let l(o) be the second derivative of o**7/147 + o**6/35 + o**5/35 + 9*o. Let l(r) = 0. Calculate r.
-2, -1, 0
Let k(a) be the third derivative of a**6/360 - a**5/40 + a**4/12 - 5*a**3/6 - 4*a**2. Let i(w) be the first derivative of k(w). Factor i(q).
(q - 2)*(q - 1)
Let k(y) be the third derivative of y**6/120 + y**5/4 + 25*y**4/8 + 125*y**3/6 + 2*y**2. Solve k(l) = 0 for l.
-5
Let f(l) = -l**3. Let r(y) = 2*y**3 + y**2 - y - 1. Let s(j) = f(j) + r(j). Factor s(p).
(p - 1)*(p + 1)**2
Let o(w) be the third derivative of -w**6/30 + 8*w**5/15 - 8*w**4/3 + 5*w**2. Factor o(z).
-4*z*(z - 4)**2
Let m be -2 + (-14)/(-8) + 110/120. Determine t, given that 1/3*t**3 + 0 - m*t**2 + 1/3*t = 0.
0, 1
Suppose -60*n**3 + 4*n**2 + 176*n + 51*n**2 - 45*n**4 - 186*n = 0. What is n?
-2, 0, 1/3
Let m be (-2)/(-1) - 4/2. Suppose 2*l + 5 = -i, -l - 3*i - 15 = -0*l. Factor 0 + 1/2*q**3 + l*q**2 + m*q.
q**3/2
Let d(z) be the second derivative of -3*z**5/40 + z**4/8 + z**3/4 - 3*z**2/4 + 3*z. Factor d(j).
-3*(j - 1)**2*(j + 1)/2
Let u(t) be the first derivative of -t**6/135 + t**5/30 - t**4/54 + t**2/2 + 2. Let q(d) be the second derivative of u(d). Factor q(w).
-2*w*(w - 2)*(4*w - 1)/9
Let c be (-260)/96 + (-1)/(-3). Let j = c + 73/24. Solve -j - 4/3*i**2 + 2*i = 0.
1/2, 1
Let p(s) = 3*s + 17. Let m be p(-5). Factor -4 - 3*w - 9 + 3*w**m + 7.
3*(w - 2)*(w + 1)
Factor 5/6*d + 1/6*d**2 - 1/6*d**3 + 1/2.
-(d - 3)*(d + 1)**2/6
Let t(x) = -x**2 + 10*x - 1. Let o be t(9). Let z be ((-1)/2)/((-2)/o). Factor 1/2*q**5 + q**z - 3/2*q + 1/2 + q**3 - 3/2*q**4.
(q - 1)**4*(q + 1)/2
Let n(p) be the second derivative of p**8/1200 + 19*p**7/4200 + p**6/225 - p**5/150 + p**3 - 2*p. Let x(u) be the second derivative of n(u). Factor x(c).
c*(c + 1)*(c + 2)*(7*c - 2)/5
Find b, given that 0*b - 8/3*b**3 + 10/3*b**2 + 0 - 2/3*b**4 = 0.
-5, 0, 1
Let l(t) be the second derivative of -t**7/280 + t**5/40 + t**3/3 + 3*t. Let x(s) be the second derivative of l(s). Factor x(q).
-3*q*(q - 1)*(q + 1)
Let m(o) be the first derivative of -2/3*o**3 + 1/6*o**6 + 0*o - 9 + 0*o**2 + 5/4*o**4 - 4/5*o**5. Factor m(k).
k**2*(k - 2)*(k - 1)**2
Let u be 4*134/420 - 24/180. Factor -16/7 + u*m - 1/7*m**2.
-(m - 4)**2/7
Let l(c) be the third derivative of 7*c**8/240 - 11*c**7/150 + 4*c**6/75 - c**5/75 - 4*c**2. Let l(d) = 0. Calculate d.
0, 2/7, 1
Let j = 3 - -5. Let w = 12 - j. Factor -10*y**2 + 9*y**3 - 3*y - 3*y**3 + 3*y**4 + 7*y - 2*y**5 - y**w.
-2*y*(y - 1)**3*(y + 2)
Let j be (-2)/(-8) - (-564)/48. Let y = j + -9. Factor 1/2*d + 0*d**2 - 1/2*d**y - 1/4 + 1/4*d**4.
(d - 1)**3*(d + 1)/4
Let d be (-6)/10 - 46/(-10). Determine f, given that 0*f**d + 2*f**4 + f**4 - f**4 = 0.
0
Suppose 3*m**2 - 18*m + 12*m + 9*m = 0. What is m?
-1, 0
Solve 1 + 12*s - 7 - 4*s**2 - 2 + 0*s = 0.
1, 2
Solve 10*p - 31*p**3 + 12*p + 26*p**3 - 2*p = 0 for p.
-2, 0, 2
Let r(m) = -m**3 + m**2 + m + 2. Suppose 0 = 3*q - 2*q. Let h be r(q). Factor 1 + 4*s**2 - 5 + 4*s + 0*s**h - 5*s**2.
-(s - 2)**2
Suppose -4*s = 5*z - 4*z, -4*z - 12 = 4*s. Let g(x) = 2 - 5*x - 9 + 5*x**2 + 0*x**2. Let o(n) = n**2 - n - 1. Let b(t) = s*g(t) - 3*o(t). Factor b(v).
2*(v - 2)*(v + 1)
Solve -99/2*q - 19/2*q**2 - 81/2 - 1/2*q**3 = 0.
-9, -1
Suppose 9 - 2*x**2 + 6*x - 2*x**2 - 2*x**2 + 3*x**2 = 0. Calculate x.
-1, 3
Suppose 3*v - v - 84 = 0. Suppose -4*b**4 + 2*b**2 - v*b**3 - 8*b + 50*b**3 + 0*b**4 + 2*b**2 = 0. What is b?
-1, 0, 1, 2
Determine j, given that 18*j - 21/2*j**3 - 27/2*j**4 - 12 - 3*j**5 + 21*j**2 = 0.
-2, 1/2, 1
Let j be (-2)/16 + 9/45. Let f(r) be the second derivative of 0 + 1/4*r**4 + r - j*r**5 + 0*r**2 + 0*r**3. Suppose f(s) = 0. Calculate s.
0, 2
Let w be (3/(-20))/((-96)/40). Let d(q) be the second derivative of 0*q**2 + 1/24*q**3 + w*q**4 + 0 + 3/80*q**5 + 2*q + 1/120*q**6. Factor d(v).
v*(v + 1)**3/4
Let i(o) be the second derivative of 2*o - 1/21*o**7 + o**3 - 1/3*o**4 - 1/5*o**5 + 1/5*o**6 - o**2 + 0. Determine z so that i(z) = 0.
-1, 1
Let i(g) be the first derivative of 3 + 2/3*g**3 + 1/2*g**4 + 0*g - 2/5*g**5 - g**2. Solve i(b) = 0.
-1, 0, 1
Suppose -26/9*d + 44/9*d**2 + 2/3 - 2/9*d**5 - 4*d**3 + 14/9*d**4 = 0. Calculate d.
1, 3
Let i(u) be the second derivative of u**4/9 - 8*u**3/9 + 2*u**2 - 9*u. Let i(v) = 0. What is v?
1, 3
Let n(t) = t**3 + t**2 - t - 1. Let a(d) = -6*d**3 - 12*d**2 - 6*d. Let r(g) = a(g) + 4*n(g). Determine u, given that r(u) = 0.
-2, -1
Let l = 1/67 + 52/1005. Let g(u) be the first derivative of -1/6*u**2 - 1/3*u - l*u**5 + 1/6*u**4 - 1/18*u**6 + 2/9*u**3 - 2. Solve g(q) = 0 for q.
-1, 1
Let x be (1 - 4/3)*-9. Suppose -5*f = m + 3 + 5, -2*f - 12 = -4*m. What is w in -m*w - 8 - 2*w**2 - x*w - 3*w = 0?
-2
Let s(l) be the third derivative of l**5/60 + l**4/24 - l**3/3 + 5*l**2. Factor s(z).
(z - 1)*(z + 2)
Let o be 2/(-54)*-6*9. Let x(k) be the first derivative of -1/4*k - 1/16*k**4 + 1/12*k**3 + 1/8*k**o + 2. What is l in x(l) = 0?
-1, 1
Let x(h) = 5*h**4 + 5*h**3 - 4*h**2. Let i = -4 + 1. Let s = i + 6. Let k(b) = -4*b**4 - 4*b**3 + 3*b**2. Let q(c) = s*x(c) + 4*k(c). Factor q(p).
-p**3*(p + 1)
Let a(s) = -26*s**4 - 2*s**3 + 38*s**2 - 4*s - 6. Let q(o) = -27*o**4 - o**3 + 37*o**2 - 4*o - 5. Let m(w) = -5*a(w) + 6*q(w). Factor m(t).
-4*t*(t - 1)*(t + 1)*(8*t - 1)
Suppose -4*m + 5*m = 2*m. Factor 0 - 2*v**4 + 10/7*v**3 + m*v + 4/7*v**2.
-2*v**2*(v - 1)*(7*v + 2)/7
Let c(z) = -7*z**4 + 9*z**3 - 3*z**2 + z. Let h(f) = -5*f**3 - 3*f**2 + f + 4*f**4 + 5*f**2 - 2*f. Let m = 40 - 37. Let i(r) = m*c(r) + 5*h(r). Factor i(y).
-y*(y - 2)*(y - 1)*(y + 1)
Let y(x) be the first derivative of 5*x**4/16 - 5*x**2/2 + 22. Find w, given that y(w) = 0.
-2, 0, 2
Let j(r) be the first derivative of -r**6/36 + r**4/6 + r**3/9 - r**2/4 - r/3 - 10. Factor j(a).
-(a - 2)*(a - 1)*(a + 1)**3/6
Let h(n) = 4*n**3 + 4*n**2 - 2*n - 6. Let l(f) = 7*f**3 + 7*f**2 - 3*f - 11. Let k(c) = 11*h(c) - 6*l(c). Solve k(s) = 0.
-2, 0, 1
Let h = 0 + 4. Let b be (2/h)/((-1)/(-4)). Find q, given that 6 - q**b - 6 + q = 0.
0, 1
Let s(m) be the first derivative of -5*m**4/2 - 5*m**3 - 5*m**2/2 + 13. Suppose s(b) = 0. Calculate b.
-1, -1/2, 0
Let y(v) = v**2 + 7*v + 8. Let o be y(-6). Let l(a) = 10*a**2 - 18*a + 27. Let n(c) = -3*c**2 + 6*c - 9. Let m(i) = o*l(i) + 7*n(i). Let m(f) = 0. Calculate f.
3
Let a(l) be the second derivative of l**4/30 + l**3/5 + 2*l**2/5 - 3*l. Factor a(o).
2*(o + 1)*(o + 2)/5
Suppose 4*n = n + 15. Suppose -n*i = -3*w + 19, 0*i + i + 17 = 5*w. Factor 1/3 + 2/3*m + 4/3*m**w - 7/3*m**2.
(m - 1)**2*(4*m + 1)/3
Factor 4/7 + 2/7*o**4 - 2*o + 18/7*o**2 - 10/7*o**3.
2*(o - 2)*(o - 1)**3/7
Let j = -120258511/462 + 260300. Let c = j + -2/77. Find v, given that -1/6*v**2 - c*v + 0 = 0.
-1, 0
Let o(d) = 4*d**2 + 15*d. Let y(q) = q. Let j(w) = o(w) + y(w). Factor j(s).
4*s*(s + 4)
Let t be (16 - 16)/(3 - -4). What is r in t*r - 6/7*r**3 + 0 + 8/7*r**4 -