b*p**2 + 1/9*p**3 + 0 + 1/6*p**4 + 1/45*p**6 - 2*p + 1/10*p**5. Find z, given that f(z) = 0.
-1, 0
Let q = -18 - -21. Solve -q*b**3 - b**4 + b**3 - 4*b**3 - b**2 + 4*b**3 = 0 for b.
-1, 0
Suppose -8/5*b**2 + 8/5 + 4/5*b - 4/5*b**3 = 0. What is b?
-2, -1, 1
Let s(i) = i - 6 + 1 - 3*i**2 + 3*i - 1. Let z(n) = -12*n - 8*n**2 + 9*n**2 + 9*n**2 + 19. Let k(o) = -7*s(o) - 2*z(o). Factor k(m).
(m - 2)**2
Let h(g) be the second derivative of 3*g**6/20 - 3*g**5/8 + 13*g**4/96 + 5*g**3/24 + g**2/16 + 27*g. Factor h(a).
(a - 1)**2*(6*a + 1)**2/8
Let t be (-55)/(-20) - (-1)/4. Factor -12*o**2 - o**t + 2*o**3 - 7*o**4 - 4*o + 8 + 11*o**4 + 3*o**3.
4*(o - 1)**2*(o + 1)*(o + 2)
Solve -1/2*y**5 - y**4 + 1/2*y + 0 + y**2 + 0*y**3 = 0.
-1, 0, 1
What is m in 3/2*m**3 - 3/2*m**2 + 3/2*m**5 + 0 + 7/2*m**4 - m = 0?
-1, 0, 2/3
Let t(l) = -l**2 + 67*l - 522. Let c be t(58). Let 0 + c*g + 1/2*g**2 + 1/4*g**3 = 0. What is g?
-2, 0
Suppose 8 - 28 = 4*a + 4*w, -25 = 4*a + 5*w. Find z, given that 1/3*z**4 + 1/3 + a*z - 2/3*z**2 + 0*z**3 = 0.
-1, 1
Let a(x) be the first derivative of x**6/21 - 2*x**5/7 + x**4/7 + 4*x**3/3 - 3*x**2/7 - 18*x/7 - 11. Suppose a(t) = 0. Calculate t.
-1, 1, 3
Suppose -m - 3*k = 0, 0*k + 3 = 3*k. Let d be (20/(-12))/(1/m). Suppose -15*h**3 + 3*h**2 + 7*h - h**3 + 1 + d*h**2 = 0. What is h?
-1/4, 1
Let r(x) be the first derivative of 3*x**5/25 - 3*x**4/20 - 4. Factor r(m).
3*m**3*(m - 1)/5
Let s(x) = -x**2 - 3*x - 4. Let k be s(-3). Let o(z) = -2*z**2 - 2*z + 2 - z**2 + 5*z**2. Let q(p) = 3*p**2 - 2*p + 3. Let t(c) = k*o(c) + 3*q(c). Factor t(b).
(b + 1)**2
Let q(b) be the second derivative of b**4/84 - b**3/42 - 3*b**2/7 - 3*b. Factor q(v).
(v - 3)*(v + 2)/7
Let x = 133 + -663/5. What is t in -2/5*t**3 - x*t**2 + 2/5 + 2/5*t = 0?
-1, 1
Factor v**3 + 3*v + 12 - 3*v**2 - 6 - 7.
(v - 1)**3
Let b(w) be the second derivative of 9*w**6/20 + 3*w**5/20 + 24*w. Determine h, given that b(h) = 0.
-2/9, 0
Let c(d) = d**2 + 13*d + 3. Let p be c(-12). Let n = 9 + p. Factor 0 + n*j**2 + 0*j + 2/7*j**4 - 2/7*j**3.
2*j**3*(j - 1)/7
Let o(f) be the second derivative of 7*f**4/6 - 5*f**3/3 - 2*f**2 - 2*f. Suppose o(c) = 0. Calculate c.
-2/7, 1
Factor 3/2*q + 1/2*q**3 - 1/3 - 5/3*q**2.
(q - 2)*(q - 1)*(3*q - 1)/6
Solve 26*w - 21*w + 4*w**2 + 19*w - 28 = 0 for w.
-7, 1
Factor -2/9*o**2 + 2/9*o**3 - 8/9*o + 8/9.
2*(o - 2)*(o - 1)*(o + 2)/9
Let 8/3*h + 8/3 + 2/3*h**2 = 0. Calculate h.
-2
Let n(g) be the first derivative of 0*g - 2/3*g**3 - 2 + 3*g**2. What is f in n(f) = 0?
0, 3
Let q(i) = -9*i**2 - 13*i + 17. Let b(l) = -8*l**2 - 12*l + 16. Let c(z) = -5*b(z) + 4*q(z). Factor c(o).
4*(o - 1)*(o + 3)
Find m, given that 130*m**4 - 2*m**5 + 2*m**3 - 4*m**3 - 126*m**4 = 0.
0, 1
Let g(a) be the first derivative of 4/33*a**3 + 1/22*a**4 - 1 + 1/11*a**2 + 0*a. Factor g(r).
2*r*(r + 1)**2/11
Let r(y) = -2*y**2 + 6*y + 1. Let o(v) = -v**2 + 3*v. Suppose -c = -0*c + 10. Let f(u) = c*o(u) + 4*r(u). Factor f(k).
2*(k - 2)*(k - 1)
Let j(z) be the second derivative of z**6/135 - z**5/30 - 6*z. Solve j(m) = 0 for m.
0, 3
Let d(v) = v**2 - 1. Let m(f) = -f**2 - 2*f - 1. Let c(k) = -2*d(k) + 2*m(k). Factor c(b).
-4*b*(b + 1)
Let c be -2 - 2*28/(-8). Suppose -16 = j - c*j + r, -r = j - 9. Factor 4/3*u**2 + 0*u + 2*u**3 - 8*u**4 + 14/3*u**j + 0.
2*u**2*(u - 1)**2*(7*u + 2)/3
Let l(f) be the third derivative of -f**7/5040 - f**6/1440 + f**5/120 - f**4/8 + 3*f**2. Let v(q) be the second derivative of l(q). Factor v(z).
-(z - 1)*(z + 2)/2
Let v(r) = r**2 - 13*r - 12. Let j be (-67)/(-5) + 12/20. Let a be v(j). Factor -w**3 + 6*w**4 - 3 - 3*w**5 + 3 - a*w**3.
-3*w**3*(w - 1)**2
Let m(p) = 7*p - 30. Let c be m(5). Let r(q) be the third derivative of -1/30*q**c + 0 + 0*q - 1/2*q**4 - 3*q**3 + q**2. Factor r(t).
-2*(t + 3)**2
Let i(l) = l**2 - 3*l - 2. Let a be i(4). Suppose a*h = -h. Factor -1/2*q**2 + h + 1/4*q + 1/4*q**3.
q*(q - 1)**2/4
Let g(h) be the third derivative of h**8/504 + 2*h**7/315 - h**6/90 - 4*h**5/45 - 7*h**4/36 - 2*h**3/9 + 29*h**2. Factor g(x).
2*(x - 2)*(x + 1)**4/3
Let w(t) = t**3 + t**2 - t - 1. Let g(i) = 10*i**3 + 8*i**2 - 4*i - 2. Let c = 7 - 8. Let o(u) = c*g(u) + 2*w(u). Let o(p) = 0. What is p?
-1, 0, 1/4
Suppose 5*j - 2*j**2 + 4*j**3 + 8*j**2 - 3*j**3 = 0. Calculate j.
-5, -1, 0
Let w(c) = -3*c**2 - c. Suppose 5*t - 11 = -4*r + 20, -3*t + 9 = 0. Let i(d) = 2*d**2 + 0*d**2 - 3*d**2. Let b(s) = r*i(s) - w(s). Determine f so that b(f) = 0.
0, 1
Let r(b) be the first derivative of 2 - 1/60*b**5 + 0*b**4 + 0*b + 0*b**3 + b**2 + 1/120*b**6. Let t(v) be the second derivative of r(v). Factor t(l).
l**2*(l - 1)
Suppose 3*a = 4*d - 8, -5*d - a = -0*d + 9. Let f be 4 - 2 - (-1 - d). Suppose 4/3 - 2*w + 2/3*w**f = 0. What is w?
1, 2
Let s = 2711/5 + -540. Suppose -3*z = 2*n - 13, 0*z - 3*z = -4*n - 1. Let s*r - 13/5*r**n + 4/5*r**3 - 2/5 = 0. What is r?
1/4, 1, 2
Let m(z) be the second derivative of -1/54*z**4 - z**2 - 4*z + 2/9*z**3 + 0. Find c, given that m(c) = 0.
3
Factor -8/5*b**4 - 128/15*b**2 + 2/15*b**5 + 32/5*b**3 + 0*b + 0.
2*b**2*(b - 4)**3/15
Let g = 2 + -3. Let o = 1 + g. Factor o*t + 0 + 1/2*t**2.
t**2/2
Let -6*n**2 - 21/4*n - 3/4 + 12*n**3 = 0. Calculate n.
-1/4, 1
Let a be 14/(-8) + (-3)/12. Let c(g) = -g + 1. Let y be c(a). Find f such that 3/2*f + 1/2*f**4 + 1/2*f**2 - 1 - 3/2*f**y = 0.
-1, 1, 2
Let t(v) = -2*v**2 - 5*v - 3. Let y(l) = 2*l**2 + 6*l + 4. Let k(w) = 4*t(w) + 5*y(w). Factor k(q).
2*(q + 1)*(q + 4)
Let q be 3762/8 + (-1)/4. Suppose -3*h - 120 = -2*x, -5*x - 156 + q = -4*h. What is v in -10*v - 14*v**3 + x*v**2 - 20*v + 4 - 26*v**3 = 0?
1/4, 2/5, 1
Let r(t) be the first derivative of -t**5/20 + t**4/16 + t**3/6 + 3. Factor r(c).
-c**2*(c - 2)*(c + 1)/4
Let h be (-8)/660*114 - -2. Let i = h - -2/11. Factor 0 - 4/5*v**4 + 0*v**3 + 2/5*v**5 + i*v**2 - 2/5*v.
2*v*(v - 1)**3*(v + 1)/5
Let b(k) be the third derivative of 2*k**5/45 - k**4/18 + k**3/36 - 8*k**2. Suppose b(q) = 0. What is q?
1/4
Let i(z) be the third derivative of -z**6/540 + z**5/45 - z**4/36 - 10*z**3/27 + 2*z**2 + z. Factor i(j).
-2*(j - 5)*(j - 2)*(j + 1)/9
Find n, given that 4/19*n + 0 + 2/19*n**2 - 2/19*n**3 = 0.
-1, 0, 2
Let d(c) be the first derivative of c**6/24 + c**5/20 - c**4/8 - c**3/6 + c**2/8 + c/4 + 20. Let d(h) = 0. Calculate h.
-1, 1
Let m(k) be the second derivative of 3*k**5/20 - k**4/2 - k**3/2 + 3*k**2 - 6*k - 5. Factor m(u).
3*(u - 2)*(u - 1)*(u + 1)
What is h in 28*h**2 + 22 + 3 - 48*h**3 + 52*h**3 + 60*h + 11 = 0?
-3, -1
What is g in 3*g - 6*g**3 + 950*g**5 - g**2 + 18 + 18*g**4 - 35*g**2 - 947*g**5 = 0?
-6, -1, 1
Suppose -5*w - 20 = 4*z, -13 - 7 = -4*w + 4*z. Determine h so that 2/3*h**4 - 2/3*h**2 + 0 + 0*h + w*h**3 = 0.
-1, 0, 1
Let i(m) be the first derivative of m**8/672 + m**7/140 + m**6/80 + m**5/120 + 3*m**2/2 - 4. Let d(n) be the second derivative of i(n). Factor d(g).
g**2*(g + 1)**3/2
Let i(v) = -v**5 - v**3 - v**2 - v + 1. Let q(d) = 9*d**5 + 4*d**4 + 9*d**3 + 11*d**2 + 11*d - 11. Let h(r) = -22*i(r) - 2*q(r). Factor h(n).
4*n**3*(n - 1)**2
Let h(x) be the third derivative of 0*x**4 + 2/35*x**7 + 5*x**2 + 0*x**3 + 0*x - 1/84*x**8 - 1/10*x**6 + 0 + 1/15*x**5. Factor h(m).
-4*m**2*(m - 1)**3
Let x(j) be the third derivative of -j**8/2240 + j**7/1120 + j**6/480 - j**5/160 - j**3 - 9*j**2. Let u(b) be the first derivative of x(b). Factor u(g).
-3*g*(g - 1)**2*(g + 1)/4
Suppose 4*g = 3*z - 5*z + 12, -3*z = 3*g - 9. Factor 0 + 3/5*w**g - 3/5*w**2 + 0*w.
3*w**2*(w - 1)/5
Let p(z) = z + 14. Let u be p(-9). Suppose -2*c = 0, u*c - 8 = -2*b + 2*c. Suppose -q**2 + 6*q + 3*q**2 - b - 4*q = 0. What is q?
-2, 1
Let z(x) be the third derivative of -x**6/540 - x**5/90 - x**4/36 - x**3/27 + 27*x**2. Factor z(m).
-2*(m + 1)**3/9
Let h be (4/2)/(3 + -2). Let b be h/5 - 13/(-5). Suppose 5/4*p**2 - 1 + p - 3/4*p**b = 0. Calculate p.
-1, 2/3, 2
Let j(o) = -7*o**3 - 9*o**2 + 11*o + 5. Let h(i) = -20*i**3 - 26*i**2 + 32*i + 14. Let q(b) = -5*h(b) + 14*j(b). Suppose q(x) = 0. Calculate x.
-3, 0, 1
Let x(p) be the second derivative of p**5/10 - 4*p**3/3 + 17*p. Solve x(h) = 0.
-2, 0, 2
Let k be (1 - -2)/((-9)/(-6)). Factor 3*s**3 - 3*s - 7*s**2 + 6 - s**2 + k*s**2.
3*(s - 2)*(s - 1)*(s + 1)
Let q(y) be the third derivative of -y**8/504 + 2*y**7/315 - y**5/45 + y**4/36 - 5*