*2 + g*x**3 - 4 + 6*x = 0. What is x?
-2, 2/5
Let u be 2*(-2)/4*-3. Suppose -9 = u*q - 6*q. Factor 3*a**2 + 2*a + 0*a**q - 4*a**2 - 2*a**3 + a**4.
a*(a - 2)*(a - 1)*(a + 1)
Let x(w) be the first derivative of w**6/120 + w**5/40 - w**3/12 - w**2/8 - 2*w - 2. Let h(p) be the first derivative of x(p). Factor h(t).
(t - 1)*(t + 1)**3/4
Let n(h) = h**3 + 7*h**2 + h - 4. Let m be n(-6). Suppose 5*s = -20, -2*r - r + m = -5*s. Determine y, given that 0*y - 2 + 2 + 4*y + 2*y**r + 2 = 0.
-1
Let t be (-34)/(-60) - (-2)/(-12). Factor -2/5 - t*u + 4/5*u**2.
2*(u - 1)*(2*u + 1)/5
Let s(b) be the third derivative of b**7/105 + b**6/30 - 2*b**5/5 + 7*b**4/6 - 5*b**3/3 + 7*b**2. Factor s(t).
2*(t - 1)**3*(t + 5)
Factor 0*r - 8/3*r**2 - 4/3*r**5 - 20/3*r**3 + 0 - 16/3*r**4.
-4*r**2*(r + 1)**2*(r + 2)/3
Let c(t) be the first derivative of -2*t**5/45 - t**4/6 - 4*t**3/27 - 19. Factor c(k).
-2*k**2*(k + 1)*(k + 2)/9
Let w = 156 + -2807/18. Let g(y) be the first derivative of -1/9*y**2 + 4/27*y**3 - w*y**4 + 1 + 0*y. Factor g(t).
-2*t*(t - 1)**2/9
Let a be 75/(-450) - 10/(-12). Find t such that -8/3*t + 0 + 8/3*t**2 - a*t**3 = 0.
0, 2
Let q = 20 + -16. Let c(u) be the third derivative of -1/300*u**6 - 3*u**2 - 1/50*u**5 + 0*u + 0 - 2/15*u**3 + 1/12*u**q + 1/525*u**7. Factor c(s).
2*(s - 1)**3*(s + 2)/5
Let w(t) be the first derivative of -4*t**5/5 - 4*t**4 - 4*t**3/3 + 12*t**2 - 47. Factor w(o).
-4*o*(o - 1)*(o + 2)*(o + 3)
Factor 14/5*c + 2*c**3 + 18/5*c**2 + 2/5*c**4 + 4/5.
2*(c + 1)**3*(c + 2)/5
Solve -8*l**4 - 4*l**5 + 34*l + 8*l**2 - 66*l + 36*l = 0 for l.
-1, 0, 1
Let q(w) = -9*w**3 + 25*w**2 - 40*w + 7. Let j(d) = d**3 - 3*d**2 + 5*d - 1. Let u(m) = 51*j(m) + 6*q(m). Factor u(l).
-3*(l - 1)**2*(l + 3)
Let t be (4/(-26))/((-7)/91). Factor 8/7*l + 0 - 2/7*l**t.
-2*l*(l - 4)/7
Let r(l) = 2*l**2 + 1. Let y(k) = -3*k**2 - 2. Let n be (12/(-20))/((-1)/(-5)). Let p(b) = n*y(b) - 5*r(b). Let p(o) = 0. What is o?
-1, 1
Let x(j) = j**2 - 5*j + 8. Let g be x(2). Factor 3/5*n**5 + 3/5*n**4 - 6/5*n**3 + 3/5 + 3/5*n - 6/5*n**g.
3*(n - 1)**2*(n + 1)**3/5
Let c be 21 + (-2 - 3) + 2. Find r, given that 2*r**4 - 10*r**3 - 9*r + 0*r**2 + c*r**2 + 2 + 2 - 5*r = 0.
1, 2
Factor -7*c**4 - 5*c - 3*c**2 - 2 + 10*c**4 + 5*c**3 + 0*c**2 + 2*c**2.
(c - 1)*(c + 1)**2*(3*c + 2)
Let j(y) be the second derivative of 3*y + 0 + 0*y**2 + 1/135*y**6 + 0*y**3 - 1/54*y**4 + 1/90*y**5 - 1/189*y**7. Factor j(p).
-2*p**2*(p - 1)**2*(p + 1)/9
Let l(a) be the second derivative of -a**8/2688 + 3*a**2/2 - 4*a. Let r(c) be the first derivative of l(c). Factor r(k).
-k**5/8
Let w(k) be the second derivative of 0*k**4 + 0 + 1/2*k**2 + 1/30*k**5 - k + 0*k**3. Let c(r) be the first derivative of w(r). Factor c(j).
2*j**2
Let w be ((-2)/(-5))/((-1)/(-5)). Find p, given that -w*p**2 + 4*p + 5 - 2 - 4 - 1 = 0.
1
Let q(c) be the first derivative of -c**4/6 + 7*c**2/3 + 4*c - 67. Suppose q(p) = 0. Calculate p.
-2, -1, 3
Let q(t) be the third derivative of -t**5/75 + t**4/12 - t**3/5 - 4*t**2. Find s such that q(s) = 0.
1, 3/2
Let v(w) = -w**2 - 3*w - 2. Let r(s) = -4*s**2 - 12*s - 8. Let t(m) = -m + 4. Let j be t(2). Let d(n) = j*r(n) - 9*v(n). Factor d(b).
(b + 1)*(b + 2)
What is b in 1/2*b**2 + 0 + 1/6*b + 1/2*b**3 + 1/6*b**4 = 0?
-1, 0
Let r be ((-1)/14)/(1380/(-161)). Let z(p) be the second derivative of 5/72*p**4 + 1/3*p**2 + 0 - 3*p + r*p**5 + 2/9*p**3. Determine l so that z(l) = 0.
-2, -1
Let j(m) be the second derivative of 3*m**5/140 + m**4/28 - 2*m**3/7 - 6*m**2/7 + 10*m. Let j(g) = 0. What is g?
-2, -1, 2
Let m(s) be the first derivative of s**7/840 - s**6/360 - 7*s**5/480 - s**4/48 + 2*s**3 + 4. Let j(n) be the third derivative of m(n). Factor j(i).
(i - 2)*(2*i + 1)**2/4
Suppose -5*m - m = 0. Let n(b) be the third derivative of 2*b**2 + m*b**3 + 0*b + 0 - 1/90*b**5 - 1/18*b**4. Factor n(o).
-2*o*(o + 2)/3
Let z = 126/11 + -1112/99. Determine l, given that 4/9*l + 0*l**2 + 2/9 - z*l**4 - 4/9*l**3 = 0.
-1, 1
Let r be (-94)/(-16) + -4 + (-2)/(-16). Let z(k) be the second derivative of 0 + r*k + 1/60*k**5 + 1/9*k**3 - 5/72*k**4 - 1/12*k**2. Factor z(l).
(l - 1)**2*(2*l - 1)/6
Suppose 2*g - 17 = -5*q, 0*q = 3*g + q - 19. Let i be g/(-4) - (-12)/6. Let -2*k**4 + 0 + 3/2*k**2 + i*k + 0*k**3 = 0. Calculate k.
-1/2, 0, 1
Let u(v) = 3*v - 18 + 9*v + 3 - 9*v**2 + 3*v. Let h(q) = -4*q**2 + 7*q - 7. Let f(n) = -7*h(n) + 3*u(n). Determine p so that f(p) = 0.
2
Let i(d) = 12*d**2. Let w(u) = -u**3 - 9*u**2 - 2*u - 8. Let j be w(-9). Suppose 2*b - 4*b - 2 = 0. Let s(o) = o**2. Let v(m) = b*i(m) + j*s(m). Factor v(q).
-2*q**2
Suppose -9 = -5*s + 1. Factor z - 2*z - z**2 + s + 0*z.
-(z - 1)*(z + 2)
Let b(q) be the third derivative of -q**8/112 + 29*q**7/840 - q**6/120 - 11*q**5/240 - q**4/48 - 4*q**2. Solve b(u) = 0.
-1/3, -1/4, 0, 1, 2
Let a(s) be the second derivative of -s**10/15120 - s**9/15120 + s**8/6720 - s**4/4 - s. Let n(h) be the third derivative of a(h). Factor n(z).
-z**3*(z + 1)*(2*z - 1)
Let 207 - 3*a**3 - 6*a**2 - 199 + a**3 = 0. Calculate a.
-2, 1
Factor 0*z + 0*z**2 + z**3 - z**5 + 0 - 8/3*z**4.
-z**3*(z + 3)*(3*z - 1)/3
Let a(b) = -2*b - 10. Let f be a(-6). Let 0*j + j + 2*j**f - j - 2*j**3 = 0. Calculate j.
0, 1
Let g(s) = s**2. Let f(q) = 14*q**2 - 4*q. Let w(x) = -f(x) - 4*g(x). Factor w(p).
-2*p*(9*p - 2)
Let i(f) be the first derivative of 1 + 1/6*f**3 + 0*f - 1/2*f**2. Factor i(r).
r*(r - 2)/2
Let s = 82/237 - 1/79. Let -2/3*d**2 + 1/3*d + s*d**3 + 0 = 0. What is d?
0, 1
Solve 4*s**2 + 3*s**3 - 9*s**4 + 3*s**5 + 6*s**3 - 2*s**2 - 5*s**2 = 0 for s.
0, 1
Suppose -x - 1 = 1. Let n be (-12)/(-18) + x/3. Find g such that g + n*g**2 + g + 2*g**2 = 0.
-1, 0
Let o(t) be the first derivative of t**5 - 65*t**4/4 + 80*t**3 - 90*t**2 - 1. Find u, given that o(u) = 0.
0, 1, 6
Let k(a) = -4*a**2 - 3*a. Let q(y) = -3*y**2 - 2*y. Let t(f) = 5*k(f) - 7*q(f). Let x be t(2). What is m in -m**2 - 2*m + 0*m**x - m**2 = 0?
-1, 0
Let u = 837 + -4171/5. Factor 2*q**2 + 0 + 4/5*q - u*q**3.
-2*q*(q - 1)*(7*q + 2)/5
Let -1/2*j**2 + 0 + 1/4*j**3 + 1/4*j = 0. What is j?
0, 1
Let r(t) be the first derivative of -9/25*t**6 - 64/15*t**3 + 2 + 12/5*t**4 + 0*t**5 + 2*t + 16/5*t**2. Let j(d) be the first derivative of r(d). Factor j(u).
-2*(u + 2)*(3*u - 2)**3/5
Suppose 0 = v - 1 + 1. Factor v + 4/5*d - 2/5*d**3 - 2/5*d**2.
-2*d*(d - 1)*(d + 2)/5
Suppose -2*o**3 - 14/5*o - 4/5 - 18/5*o**2 - 2/5*o**4 = 0. What is o?
-2, -1
Suppose 3 = -2*w - 3. Let z(j) = -5*j**2 - 7*j + 1. Let g(h) = h**2 + h - 1. Let t(q) = w*g(q) - z(q). Factor t(y).
2*(y + 1)**2
Let f(k) be the second derivative of k**5/10 + 11*k**4/6 - 7*k - 4. Factor f(c).
2*c**2*(c + 11)
Let j(o) = -o**2 - 22*o - 54. Let r be j(-19). Let u(x) be the first derivative of 1/5*x**4 + 4/5*x - 2 - 2/5*x**r - 3/5*x**2. Factor u(h).
2*(h - 2)*(h + 1)*(2*h - 1)/5
Factor -2/7*k**4 + 6/7*k**3 - 4/7*k**2 + 0 + 0*k.
-2*k**2*(k - 2)*(k - 1)/7
Let v be 1/1*(-20)/(-140). Factor 1/7*a**5 - 2/7*a - 5/7*a**2 + 0 + v*a**4 - 3/7*a**3.
a*(a - 2)*(a + 1)**3/7
Let n(a) be the second derivative of -a**5/60 + a**4/18 - a**3/18 + 10*a. Factor n(j).
-j*(j - 1)**2/3
Let o be (1 - 4)*60/(-36). Suppose 160 = o*c + 25. Factor 4 + c*k**2 - 27/2*k**3 - 18*k.
-(3*k - 2)**3/2
Let c(d) be the third derivative of -d**6/240 - 7*d**5/360 + 7*d**4/144 + d**3/12 - 9*d**2. Factor c(f).
-(f - 1)*(f + 3)*(3*f + 1)/6
Let p be 240/162*3/4. Factor 0 - 2/9*f**5 + 2/9*f**4 - p*f**2 + 4/9*f + 2/3*f**3.
-2*f*(f - 1)**3*(f + 2)/9
Let y = -7/10 + 9/10. Let c(a) be the third derivative of -1/21*a**4 - 3*a**2 + 0*a + 3/28*a**6 + y*a**5 + 0 - 8/21*a**3. Factor c(q).
2*(3*q + 2)**2*(5*q - 2)/7
Let u(n) be the first derivative of -1/12*n**6 + 0*n**2 + 0*n**5 + 1/8*n**4 + 0*n + 0*n**3 - 4. Suppose u(b) = 0. What is b?
-1, 0, 1
Let m(g) be the second derivative of g**9/22680 + g**8/5040 + g**7/3780 + g**4/6 + 2*g. Let l(b) be the third derivative of m(b). What is k in l(k) = 0?
-1, 0
Let t be 402/335*(-5)/(-2). Factor 0 - 4/3*d + 14/3*d**t - 10/3*d**2.
2*d*(d - 1)*(7*d + 2)/3
Let v(c) = -3*c + 6. Let t be v(3). Let m be (-10)/(-3) - t/(-9). Suppose -w - 1/3 - w**2 - 1/3*w**m = 0. What is w?
-1
Let z(w) be the second derivative of w**9/7560 - w**7/1260 - w**4/12 + 3*w. Let k(m) be the third derivative of z(m). Find h, given th