*(s - 2)/3
Suppose 0 = -4*m - 16, a + m + 4 = -3*a. Let r(n) be the first derivative of 3 - 2/9*n**3 - 2/15*n**5 + 0*n + 1/3*n**4 + a*n**2. Factor r(y).
-2*y**2*(y - 1)**2/3
Let v(j) = 18*j**3 + j - 14*j**3 - 2 + 7. Let a(l) = l**3 + 1. Let c(z) = 5*a(z) - v(z). Factor c(k).
k*(k - 1)*(k + 1)
Let n(x) = 2*x**3 - 7*x**2 + 5. Let g(k) = -k**3 + 4*k**2 - 3. Let w(c) = 5*g(c) + 3*n(c). Find q such that w(q) = 0.
0, 1
Solve -2/7*b**4 - 2/7*b**3 + 2/7*b**2 + 2/7*b**5 + 0*b + 0 = 0 for b.
-1, 0, 1
Let q be ((-60)/32)/(2/36). Let r = q + 34. Let r*w - 1/4*w**3 + 0 - 1/4*w**4 + 1/4*w**2 = 0. Calculate w.
-1, 0, 1
Let q(m) be the third derivative of -m**10/30240 - m**9/3780 - m**8/1680 + 3*m**4/8 + 7*m**2. Let b(a) be the second derivative of q(a). Factor b(f).
-f**3*(f + 2)**2
Suppose -13 + 4*x**2 - 16*x**2 + 6*x + 11*x**2 + 4 = 0. What is x?
3
Let w be 3/1 - (-5 - -3). Suppose -4*n = w*p, 5*p - 6*n = -n. What is i in 0 - i**4 - 1/2*i + p*i**3 + 1/2*i**5 + i**2 = 0?
-1, 0, 1
Let x(q) be the third derivative of -q**6/80 + q**5/20 + q**4/16 - q**3/2 - 3*q**2 + 2*q. Factor x(y).
-3*(y - 2)*(y - 1)*(y + 1)/2
Let u = 4 - 0. Factor -29*c**2 - 4*c**u - 2*c**2 + c**2 + 24*c**3 - 6*c**2.
-4*c**2*(c - 3)**2
Let q be 6 + (6*-1)/3. Factor 23*p**q + 2*p**3 - 2*p**5 - 23*p**4.
-2*p**3*(p - 1)*(p + 1)
Factor 7/10*r - 1/10*r**3 - 2/5 - 1/5*r**2.
-(r - 1)**2*(r + 4)/10
Let t(o) be the second derivative of o**7/168 + o**6/40 - o**5/80 - o**4/16 + 15*o. Factor t(k).
k**2*(k - 1)*(k + 1)*(k + 3)/4
Let g be (3 - 1) + (-7 - -7). Factor g*w**3 - 10*w**3 - w**4 - 3*w**4.
-4*w**3*(w + 2)
Suppose -3*r = 0, 3*r + 4 = h + h. Let 8/3 + 0*p - 2/3*p**3 - 2*p**h = 0. Calculate p.
-2, 1
Let j(s) = s + 9. Let h be j(-5). Let x = 197 - 192. Solve -2/3*d**2 + 0*d - 2*d**h + 0 + 2/3*d**x + 2*d**3 = 0 for d.
0, 1
Let l(s) = s**3 - 9*s**2 + 10*s - 11. Let c be l(8). Let o = -3 + c. Factor 2*w**o - 5*w**3 + 4*w**3 - w + 0*w**3 + 0*w**2.
-w*(w - 1)**2
Let d(q) = 10*q**2 - 2*q + 2. Let l be d(2). Let r = l + -188/5. Factor 4/5*y + 0 + r*y**2.
2*y*(y + 2)/5
Let s(k) = k**2 - 6*k - 1. Let m be s(7). Let v(o) be the third derivative of 0*o + 0*o**3 + 0*o**4 + 1/60*o**5 + 3*o**2 + 0 - 1/120*o**m. Factor v(f).
-f**2*(f - 1)
Let v(b) = b + 4. Let c be v(0). Suppose h + 0*h = c. Factor -3*d**2 - h*d - 3*d**3 + 6*d**2 + 3*d + d**4.
d*(d - 1)**3
Let w be (-4)/(-10) - ((-74)/(-35) + -2). Find p such that w*p**2 + 0*p**3 + 0*p + 0 - 2/7*p**4 = 0.
-1, 0, 1
Suppose -7*j = -3*j + 40. Let n be 1/(2/j*-1). What is u in 0 + 8/9*u**4 - 8/9*u**n - 8/9*u**2 + 2/3*u**3 + 2/9*u = 0?
-1, 0, 1/2, 1
Let b(a) be the third derivative of a**5/12 + 5*a**4/8 + 8*a**2. Factor b(t).
5*t*(t + 3)
Let h be (5/(-1))/(18/(-622)). Let d = 173 - h. Factor -d*n**2 + 0 + 2/9*n.
-2*n*(n - 1)/9
Find a, given that 5*a + 3*a**4 + 6*a - 11*a - 3*a**5 + 3*a**3 - 3*a**2 = 0.
-1, 0, 1
Let w(p) be the second derivative of 0 - 1/3*p**4 + 0*p**2 + 1/3*p**3 + 5*p + 1/10*p**5. Let w(v) = 0. Calculate v.
0, 1
Let g(r) be the third derivative of -r**6/30 + r**5/15 + 2*r**2. Factor g(y).
-4*y**2*(y - 1)
Let g(b) = 6*b**4 - 10*b**3 + 2*b**2 + 6*b - 4. Let u(f) = 13*f**4 - 21*f**3 + 5*f**2 + 11*f - 8. Let w(n) = 5*g(n) - 2*u(n). Find q such that w(q) = 0.
-1, 1
Let v = -145/14 - -21/2. Let m(p) be the second derivative of -v*p**4 - 2/35*p**5 - 4/21*p**3 - 1/105*p**6 - 1/7*p**2 - 2*p + 0. Factor m(t).
-2*(t + 1)**4/7
Let m be (9/(-2))/(-5 + -1). Determine x, given that m*x - 1/4*x**2 - 1/2 = 0.
1, 2
Let f = 4/27 + -11/135. Let o(v) be the second derivative of -1/10*v**4 + 0 + 2/5*v**2 + f*v**3 + 2*v. Factor o(p).
-2*(p - 1)*(3*p + 2)/5
Let g = -167 + 170. Let w(q) be the first derivative of 2/9*q**g + 4/3*q**2 + 8/3*q + 4. Let w(n) = 0. What is n?
-2
Let m(z) = -z**2 + 6*z. Let t be m(5). Solve -5*j**t + 6*j**4 + j + 2*j**5 - 6*j**2 + 2*j = 0.
-1, 0, 1
Let m be (-8)/(-4)*2/4. Suppose p = 1 + m. Find u, given that -p*u**2 + u**4 + u + u**5 + 1 - 2*u**5 + 2*u**5 - 2*u**3 = 0.
-1, 1
Solve 2*h**3 + 5*h**3 - 3*h**3 - 3*h**3 = 0 for h.
0
Let q(z) be the first derivative of 4*z**3/21 + 68*z**2/7 + 1156*z/7 - 61. Factor q(b).
4*(b + 17)**2/7
Suppose 2*r - 565 = -561. Suppose -4/3 - 1/3*d**3 - 5/3*d**r - 8/3*d = 0. Calculate d.
-2, -1
Suppose -2*t + 5*c - 16 = 0, -3*t - 4*c = -0*c - 22. Solve -j + j + j - 2*j**t - 7*j = 0 for j.
-3, 0
Let n(a) = -a**3 - 2*a**2 - a + 2. Let q be n(-2). Suppose 0*z = q*z - 12. Determine c, given that 6/7*c**2 - 2/7*c**z - 6/7*c + 2/7 = 0.
1
Let m(x) be the second derivative of -x**7/2520 + x**5/120 - x**4/6 + x. Let j(s) be the third derivative of m(s). Factor j(w).
-(w - 1)*(w + 1)
Let m(i) be the first derivative of -4/7*i + 4/21*i**3 - 1 - 3/7*i**2. Factor m(q).
2*(q - 2)*(2*q + 1)/7
Let g(x) be the first derivative of x**3 + 18*x**2 + 108*x + 19. Let g(r) = 0. What is r?
-6
Suppose 0 = -10*h + 9 + 11. Let q(m) be the second derivative of 0*m**3 + 0 - 3*m + 0*m**h + 0*m**5 + 1/4*m**4 - 1/10*m**6. Factor q(d).
-3*d**2*(d - 1)*(d + 1)
Let y be 2 + (7 - (-369)/(-45)). Factor -2/5*u - 2/5*u**2 + y.
-2*(u - 1)*(u + 2)/5
What is r in 4/7*r + 4/7*r**4 - 4/7*r**2 + 0 - 4/7*r**3 = 0?
-1, 0, 1
Let g = -1 - -6. Suppose -2*y = -g*y + 9. Find m such that -8*m**3 - 17*m**2 - 4*m + 0 + 2 + y*m**2 = 0.
-1, 1/4
Suppose 9 = 4*c - s - 14, -3*s - 14 = -c. Let v = 4 + -2. Find o, given that -v - o**3 - 4*o - 2*o**4 + c*o**3 - 3*o**5 + 2*o + o**5 + 4*o**2 = 0.
-1, 1
Let k = 5/4 + 1/4. Factor 0 - k*c**3 + 1/2*c**4 - 1/2*c + 3/2*c**2.
c*(c - 1)**3/2
Let h(u) be the second derivative of 5/66*u**4 + 1/33*u**3 + 2/55*u**5 + 0*u**2 + 0 - u. Solve h(m) = 0.
-1, -1/4, 0
Let f(w) be the second derivative of -1/16*w**4 - 1/80*w**5 - 4*w + 0 + 1/120*w**6 + 1/4*w**2 + 1/24*w**3. Factor f(y).
(y - 2)*(y - 1)*(y + 1)**2/4
Let z(x) be the first derivative of 0*x**3 + 1 + 0*x**2 - 1/54*x**4 - 2*x. Let k(u) be the first derivative of z(u). Factor k(l).
-2*l**2/9
Let n(f) = f**3 - 3*f**2 - 5*f + 6. Let s = -2 - -6. Let c be n(s). Suppose 2/3*g**3 + 2/3 + c*g**2 + 2*g = 0. What is g?
-1
Let q(f) be the third derivative of -f**8/840 + f**6/60 + f**5/30 + f**3/2 + 2*f**2. Let c(m) be the first derivative of q(m). Suppose c(w) = 0. What is w?
-1, 0, 2
Let s(u) = -8*u**2 + 8*u - 7. Let y(r) = 4*r**2 - 4*r + 3. Let n(l) = -4*s(l) - 10*y(l). Factor n(x).
-2*(2*x - 1)**2
Let v = 339 + -1693/5. Solve -1/5 - v*k**3 + 2/5*k + 0*k**2 + 1/5*k**4 = 0.
-1, 1
Factor 2*g**3 + 8*g**3 + 13*g**2 - 6*g**3 + 16*g + 3*g**2.
4*g*(g + 2)**2
Let n(s) be the third derivative of -s**7/1155 + s**5/110 - s**4/66 + 4*s**2. Factor n(w).
-2*w*(w - 1)**2*(w + 2)/11
Let z(y) be the third derivative of -y**7/105 - y**6/10 - 13*y**5/30 - y**4 - 4*y**3/3 - 3*y**2. Factor z(q).
-2*(q + 1)**2*(q + 2)**2
Let z = -1465/3 - -489. Suppose 2/3*w**2 - 2/3 + z*w**3 - 2/3*w = 0. What is w?
-1, 1
Let t = 1 - -2. Factor 8 + 11*h - t*h + 0*h**2 - 6*h**2.
-2*(h - 2)*(3*h + 2)
Suppose 5*y - 10 = -0*y. Let g(c) be the second derivative of 1/40*c**5 + 1/24*c**4 + 2*c + 0 + 0*c**y + 0*c**3. Suppose g(b) = 0. What is b?
-1, 0
Let -33*l**2 + 9*l**2 - 32 - 21*l - 4*l**3 - 12*l - 15*l = 0. Calculate l.
-2
Let p = -85/6 - -667/42. Determine o so that -2/7*o**2 - 18/7 + p*o = 0.
3
Let t be 928/456 - (2 + 0). Let x = 124/285 - t. Factor -4/5*f + 2/5 + x*f**2.
2*(f - 1)**2/5
Let p(u) be the first derivative of -u + 3/4*u**4 + 3/2*u**3 + 3/20*u**5 + 3/2*u**2 - 3. Let k(l) be the first derivative of p(l). Factor k(o).
3*(o + 1)**3
Let f = 6803/5 - 1353. Let o(m) be the first derivative of -f*m**3 - 4/5*m - 32/25*m**5 + 3 + 28/5*m**4 + 19/5*m**2. Solve o(i) = 0 for i.
1/4, 1, 2
Solve 0 + 4*m**2 + 4*m**3 + 4/3*m**4 + 4/3*m = 0 for m.
-1, 0
Let k be ((-2)/280)/((-6)/12). Let g(r) be the second derivative of 0 + 0*r**2 - 1/21*r**3 - k*r**5 + 1/21*r**4 - 3*r. Find o, given that g(o) = 0.
0, 1
Let f(h) be the first derivative of -2*h**3/3 + h**2 - 17. Factor f(b).
-2*b*(b - 1)
Let f(i) be the second derivative of 4*i - 1/6*i**4 + 0 + 1/3*i**3 + 0*i**2. Factor f(w).
-2*w*(w - 1)
Let a(g) be the third derivative of g**5/12 - 7*g**4/24 + g**3/3 - 13*g**2. Find r such that a(r) = 0.
2/5, 1
Let w(q) = 8*q**3 - 28*q**2 + 36*q + 68. Let b(a) = -17*a**3 + 56*a**2 - 73*a - 137. Let u(r) = -4*b(r) - 9*w(r). Determine k, given that u(k) = 0.
