 Let w be l(-6). Suppose 5*g + 5 = -w*s - 5*s, -3*g = -5*s - 21. What is f in -4*f + 4*f**g + 1 - 5*f**2 - 4*f**3 + 8*f = 0?
-1, -1/4, 1
Let n = 1817/7 + -259. Let z(x) = -x**3 - 6*x**2 + 7*x + 2. Let f be z(-7). Factor n - 2/7*d**3 + 0*d**f + 6/7*d.
-2*(d - 2)*(d + 1)**2/7
Suppose -5 = 5*q - 15. Suppose q*u + 0 - 4 = 0. Suppose 1/4*l - 1/2 + 1/4*l**u = 0. Calculate l.
-2, 1
Suppose -4*b = 5*c + 50, 4*b + 20 = 3*c - 5*c. Let k be (-26)/c - 2/1. Factor -3/5*r**3 - k*r**2 + 0 + 0*r.
-3*r**2*(r + 1)/5
Let o(f) be the third derivative of 1/90*f**6 + 0*f**7 + 0*f - 1/504*f**8 + 0*f**5 - 1/36*f**4 + 0 + 0*f**3 - 3*f**2. Factor o(b).
-2*b*(b - 1)**2*(b + 1)**2/3
Let o(q) be the third derivative of -2*q**7/105 - q**6/120 + 4*q**2. Factor o(r).
-r**3*(4*r + 1)
Let s(t) = -t**2 + t + 1. Let f(c) be the first derivative of -c**3 + 2*c - 1. Let w(o) = -2*f(o) + 4*s(o). Solve w(l) = 0.
-2, 0
Find z such that 35*z**2 - 96*z + z**2 + 8*z**2 - 144 - 4*z**3 = 0.
-1, 6
Suppose 3*l - 8 = -2*t - 0*t, -t = -4*l - 4. Let k be (-4 + 1)*(-1)/t. Factor 1/2 + k*s + 1/4*s**2.
(s + 1)*(s + 2)/4
Factor 10*w**2 - 3*w**4 - 4*w**3 + 4*w - 13*w**4 - 2*w**4 + 8*w**4.
-2*w*(w - 1)*(w + 1)*(5*w + 2)
Let l = -64 + -632. Let m be l/(-270) + 2/9. Factor -m*x**2 + 4/5 + 2*x.
-2*(x - 1)*(7*x + 2)/5
Let b(g) be the second derivative of -g**5/20 + g**4/6 + 5*g**3/6 - 2*g**2 - g. Let l be b(3). Let 2*o - 5*o**l + 0*o**2 + 2*o + 3*o**2 = 0. What is o?
0, 2
Let t(m) be the second derivative of 2*m**6/5 - 27*m**5/20 + 3*m**4/2 - m**3/2 - 18*m. Factor t(z).
3*z*(z - 1)**2*(4*z - 1)
Let x(h) = -15*h - 75. Let q be x(-5). Suppose -1/3*n**2 + 0*n + 1/3*n**4 + 1/3*n**3 - 1/3*n**5 + q = 0. Calculate n.
-1, 0, 1
Factor 0*p + 0 - 2/9*p**2 + 2/9*p**3.
2*p**2*(p - 1)/9
Let 1/4*a**2 + 3/4*a + 1/2 = 0. What is a?
-2, -1
Let t be (-58)/(-8) + 0 + 5/(-20). Let q(x) be the first derivative of t*x**3 + 1/2*x**4 - 10*x**2 - 7/5*x**5 + 4*x + 2. Factor q(b).
-(b - 1)**2*(b + 2)*(7*b - 2)
Let y be 3/2*(-36)/(-6). Let x(w) = -w**2 + 9*w. Let n be x(y). Solve 0*p + 2/3*p**4 + 7/3*p**3 - 7/3*p**5 - 2/3*p**2 + n = 0 for p.
-1, 0, 2/7, 1
Let q(m) be the first derivative of -4*m**3/3 + 2*m**2 + 5. Let q(p) = 0. What is p?
0, 1
Solve 14/5*o**2 - 16/5*o - 2/5*o**5 + 18/5*o**3 + 0 - 14/5*o**4 = 0 for o.
-8, -1, 0, 1
Let g(b) be the second derivative of 5*b + 1/3*b**2 + 2/27*b**3 - 1/54*b**4 + 0. Factor g(w).
-2*(w - 3)*(w + 1)/9
Suppose 0*y = 2*y, -4*w - y = -80. Determine d, given that 4*d**3 + 8 + 60*d**4 + 2*d**2 - 64*d**4 + 10*d**2 - w*d = 0.
-2, 1
Suppose 0 = 3*j + 5*j. Let x(n) be the third derivative of 1/80*n**6 + 0 + j*n - 3/16*n**4 - 1/2*n**3 + n**2 + 0*n**5. Suppose x(r) = 0. Calculate r.
-1, 2
Let z = -6017/13 + 463. Factor z - 2/13*s**2 + 0*s.
-2*(s - 1)*(s + 1)/13
Let s = -16793/15 - -4678/15. Let v = -775 - s. What is m in 8/3*m + 0 + 16*m**2 - v*m**4 + 14*m**3 = 0?
-2/7, 0, 1
Let j(q) be the second derivative of 5*q**7/28 - 4*q**6/15 - 43*q**5/120 + 7*q**4/12 + q**3/3 - 2*q**2/3 - q. Find t, given that j(t) = 0.
-2/3, 2/5, 1
Let j(r) be the third derivative of r**4/24 - 2*r**3 - 3*r**2. Let z be j(14). Factor 4/7*n - 2*n**3 - 10/7*n**z + 0.
-2*n*(n + 1)*(7*n - 2)/7
Let h(m) = -14*m + 11*m + 0*m**2 + m**2 + 4*m. Let q(g) = -6*g**2 + 6*g - 4. Let f(l) = 2*h(l) + q(l). Factor f(u).
-4*(u - 1)**2
Let p be (3/9)/(2/24). Factor 2 - p*s**2 - 3*s + 3*s**2 + 0*s + 2*s.
-(s - 1)*(s + 2)
Factor 1/4*r**4 + 3/4*r**2 + 1/4*r + 0 + 3/4*r**3.
r*(r + 1)**3/4
Let c = -99 - -103. Let k(w) be the first derivative of 0*w + c - 1/5*w**2 + 1/15*w**3. Determine z, given that k(z) = 0.
0, 2
Let z(k) be the second derivative of 0*k**2 + 1/30*k**4 + 0 + 1/15*k**3 + k. Factor z(f).
2*f*(f + 1)/5
Let g(d) be the first derivative of -d**6/100 + 2*d**5/75 + d**4/60 - 2*d**3/15 + d**2/2 - 1. Let l(c) be the second derivative of g(c). Solve l(k) = 0 for k.
-2/3, 1
Let j(t) = 65*t**4 - 1275*t**3 + 5015*t**2 - 6555*t + 2705. Let o(x) = -3*x**4 + 58*x**3 - 228*x**2 + 298*x - 123. Let i(r) = -2*j(r) - 45*o(r). Factor i(s).
5*(s - 5)**2*(s - 1)**2
Factor g**2 - 1 + 1/2*g**3 - 1/2*g.
(g - 1)*(g + 1)*(g + 2)/2
Let c(q) be the second derivative of -q**6/195 + q**4/26 - 2*q**3/39 + 18*q. Factor c(w).
-2*w*(w - 1)**2*(w + 2)/13
Let j be (-4)/(-14) - 19663/49. Let q = 1213/3 + j. Determine b so that 14/3*b - 4/3 - 14/3*b**3 - 2*b**2 + q*b**4 = 0.
-1, 2/5, 1
Let b = -18 + 21. Let v(z) be the first derivative of -4/5*z - 1 - 2/15*z**b - 3/5*z**2. Solve v(h) = 0 for h.
-2, -1
Let r(q) be the third derivative of -q**6/360 + q**5/45 - 5*q**4/72 + q**3/9 - 5*q**2 + 4*q. Factor r(s).
-(s - 2)*(s - 1)**2/3
Let b(w) be the third derivative of -2*w**7/105 + w**6/15 + 4*w**5/5 + 7*w**4/3 + 10*w**3/3 - 46*w**2. Suppose b(n) = 0. Calculate n.
-1, 5
Let n(r) be the third derivative of r**5/240 + r**4/32 + r**3/12 + 5*r**2. Solve n(h) = 0.
-2, -1
Suppose -3 = -5*s - 13. Let p be s/(-3)*6/8. Let -3/2*c**2 + 1/2*c**3 - p + 3/2*c = 0. What is c?
1
Let g(v) be the first derivative of 2*v**5/5 - 5*v**4/4 + v**3/3 + v**2 + 1. Factor g(l).
l*(l - 2)*(l - 1)*(2*l + 1)
Let w(u) = 5*u**5 + u**4 + 6*u**3 + 4*u**2 - 4*u. Let l(j) = -11*j**5 - 3*j**4 - 13*j**3 - 9*j**2 + 9*j. Let q(t) = -4*l(t) - 9*w(t). Solve q(p) = 0 for p.
0, 1, 2
Let l(d) be the first derivative of -d**3/9 + 4*d/3 - 5. Factor l(h).
-(h - 2)*(h + 2)/3
Let -10 + 15*u**2 - 6*u**4 - 3*u**5 - u**2 + 2*u**3 + 2 + u**5 = 0. What is u?
-2, -1, 1
Suppose 7*q - q - q = 0. Let x(m) be the third derivative of 0*m**4 + 3*m**2 + q*m - 1/6*m**3 + 0 + 1/60*m**5. Let x(p) = 0. What is p?
-1, 1
Suppose -i = -d, -d - 5*i + 12 = -2*d. Suppose 23 = d*r - 2*a, -22 = -r - r + 3*a. Factor 0*f - 2/5*f**3 - 2/5*f**4 + 0 + 2/5*f**2 + 2/5*f**r.
2*f**2*(f - 1)**2*(f + 1)/5
Let z(b) be the first derivative of -b**3/15 + b**2/10 + 2. Let z(q) = 0. What is q?
0, 1
Let u(r) be the second derivative of 0 + 0*r**2 + 2*r - 1/36*r**4 + 0*r**3 - 1/60*r**5. Factor u(i).
-i**2*(i + 1)/3
Let a be ((-2)/((-48)/18))/(6/4). Determine k so that 9/4*k**2 + a - 11/4*k = 0.
2/9, 1
Factor -45/4*d**2 + 5/4*d**4 - 55/4*d - 5 - 5/4*d**3.
5*(d - 4)*(d + 1)**3/4
Suppose -2*q = b + 4, -15 = -4*b - q - 38. Let x = 0 - b. Let -6*t**2 + x*t**2 + 2*t**3 + 4*t**2 + 2*t = 0. Calculate t.
-1, 0
Let x = -802 + 2290/3. Let f = x - -39. Factor 4/3 + 8/3*o + f*o**3 + 5/3*o**2.
(o + 1)*(o + 2)**2/3
Let o(g) = g**3 + 4*g**2 - 2*g - 4. Let r be o(-4). Let l(x) be the second derivative of 1/9*x**3 - r*x + 1/2*x**2 - 1/36*x**4 + 0. Factor l(m).
-(m - 3)*(m + 1)/3
Factor -18 - 15*t + 12*t**2 + 13*t**2 + 21*t**2 - 43*t**2.
3*(t - 6)*(t + 1)
Let f(o) be the third derivative of 0*o - 1/6*o**5 + 0 - 1/12*o**4 + 3*o**2 + 0*o**3 - 1/15*o**6. Factor f(s).
-2*s*(s + 1)*(4*s + 1)
Let n be (2 + (2 - 4))/2. Factor 0 + n*z - 6/7*z**3 - 2/7*z**2 - 2/7*z**5 - 6/7*z**4.
-2*z**2*(z + 1)**3/7
Let j = 7/16 + -3/80. Determine a, given that 62/5*a**2 - 4/5 + 56/5*a**5 + j*a - 58/5*a**4 - 58/5*a**3 = 0.
-1, -1/4, 2/7, 1
Suppose 0 = p - 4*n, 2*p - 2*n = 3*p - 6. Let f = 1344 - 6688/5. Factor 0*o + 8/5*o**2 + 18/5*o**5 + f*o**3 + 42/5*o**p + 0.
2*o**2*(o + 1)*(3*o + 2)**2/5
Let t(m) be the second derivative of -2*m**7/21 + m**6/10 + 3*m**5/40 - m**4/24 - 10*m. Suppose t(b) = 0. What is b?
-1/2, 0, 1/4, 1
Let q(p) be the third derivative of 1/72*p**6 + 0 + 0*p + 0*p**7 - 1/18*p**4 + 0*p**3 + 8*p**2 - 1/1008*p**8 + 0*p**5. Solve q(b) = 0 for b.
-2, -1, 0, 1, 2
Let u(o) be the first derivative of -o**6/10 + 9*o**5/20 - 3*o**4/4 + o**3/2 - 4*o + 2. Let v(s) be the first derivative of u(s). Find d, given that v(d) = 0.
0, 1
Let f(p) be the third derivative of -p**6/60 - p**5/5 - p**4 - 8*p**3/3 - 7*p**2. Solve f(x) = 0.
-2
Factor 4*s - 6*s + 2*s**3 + 54*s**2 - 54*s**2.
2*s*(s - 1)*(s + 1)
Determine v so that -1 + 3/4*v**2 - v + 1/2*v**3 - 1/4*v**4 = 0.
-1, 2
Let z(o) be the second derivative of 1/42*o**4 + 0 + 9/7*o**2 + 2/7*o**3 - 4*o. Let z(b) = 0. What is b?
-3
Let c(y) be the first derivative of -y**4/12 + 7*y**2/6 + 2*y - 41. Find t such that c(t) = 0.
-2, -1, 3
Let p be 159/(-200) + (12/15 - 0). Let s(y) be the third derivative of 0*y**5 + 0*y - p*y**6 + 0*y**4 + 1/560*y**8 + 0*y**7 + 0 + 3*y**2 + 0*y**3. Factor s(k).
3*k**3*(k - 1)*(k + 1)/5
Let c(m) be the second derivative of -m**7/168 