q**6/4 - 3*q**5/5 + 27*q**4/8 - 3*q**2 + 14. Determine h, given that i(h) = 0.
-2, -2/3, 0, 1
Let t be 10/6*(0 + 3). Let p = t + -3. Solve -4*v - 3*v**p - v + 8*v = 0 for v.
0, 1
Let g be -5*(-4)/110*8. What is z in -56/11*z - 12/11*z**2 + 50/11*z**4 + 10*z**3 + g = 0?
-2, -1, 2/5
Suppose -7/2*i**2 - 1/2*i**3 - 6 - 8*i = 0. What is i?
-3, -2
Let f(c) = c**4 - c**2 - 2*c. Let a(i) = i**4 - i**2 - 3*i. Let q(d) = 2*a(d) - 3*f(d). Factor q(g).
-g**2*(g - 1)*(g + 1)
Let v(w) = -w**3 + 11*w**2 - 11*w + 7. Let g be v(10). Let r be (-10)/g*66/385. Determine a so that -r*a + 2/7*a**2 + 0 = 0.
0, 2
Let w(q) = -q - 15. Let t be w(-11). Let d(k) = -3*k**2 - 6*k - 3. Let c(g) = -g**4 - g**3 - 3*g**2 - 7*g - 4. Let s(x) = t*d(x) + 3*c(x). Factor s(i).
-3*i*(i - 1)*(i + 1)**2
Let m = 2/225 - -16/75. Let f = 1/27 + 5/27. Determine w, given that m*w**3 - f*w**2 - 2/9*w + 2/9 = 0.
-1, 1
Let l be 33/(-54) + (-1)/(-2). Let g = 4/9 + l. Factor -i - g*i**2 - 2/3.
-(i + 1)*(i + 2)/3
Let g(m) be the first derivative of -2*m**3/51 + 9*m**2/17 - 16*m/17 - 19. Suppose g(r) = 0. What is r?
1, 8
Let b(a) be the third derivative of 2*a**2 + 7/20*a**5 + 0 - 19/8*a**4 + 0*a - 3*a**3. Determine q so that b(q) = 0.
-2/7, 3
Let b = -12 + 17. Let n = -1 + b. Find z such that 4 + 2 + 5*z + z**3 - 4 + n*z**2 = 0.
-2, -1
Let f = 3438679/21 - 163715. Let q = f - 94/3. Let -2/7 - 4/7*b - q*b**2 = 0. What is b?
-1
Suppose 2*o + 16 = 16. Factor 0*m**2 + o*m - 2/5*m**4 + 0 + 4/5*m**3.
-2*m**3*(m - 2)/5
Let a(o) = o**2 - 9*o + 16. Let f be a(7). Factor -2/5*k**f + 4/5 + 2/5*k.
-2*(k - 2)*(k + 1)/5
Let y = 5/924 - -6/77. Let h(d) be the second derivative of 0*d**2 + y*d**3 + 0 + d - 1/24*d**4. Find u such that h(u) = 0.
0, 1
Let i(d) be the first derivative of 17/10*d**4 + 8/5*d**5 - 7/5*d**6 + 0*d - 8/3*d**3 + 4/5*d**2 - 2. Determine s so that i(s) = 0.
-1, 0, 2/7, 2/3, 1
Let b(w) be the third derivative of 0*w**4 + 0*w**3 + 0 - 1/180*w**6 + 0*w - w**2 + 1/270*w**5 + 2/945*w**7. Suppose b(k) = 0. Calculate k.
0, 1/2, 1
Let k(w) be the third derivative of 1/6*w**4 + 0 - 1/105*w**7 + 0*w**5 + 0*w - w**2 - 1/30*w**6 + 1/3*w**3. Let k(p) = 0. Calculate p.
-1, 1
Let i(q) be the third derivative of -q**7/1820 + q**6/1170 - 7*q**3/6 + 5*q**2. Let k(f) be the first derivative of i(f). What is c in k(c) = 0?
0, 2/3
Suppose 1/4*q**5 + 54*q**3 + 6*q**4 + 216*q**2 + 324*q + 0 = 0. What is q?
-6, 0
Suppose 4 = z + 4*i + 2, 3*z = -2*i + 6. Let n(p) = 2*p**5 + p**4 - 2*p**3 - 3*p**2 - p. Let t(r) = r**4 + r**2 + r. Let l(c) = z*n(c) + 2*t(c). Factor l(a).
4*a**2*(a - 1)*(a + 1)**2
Let -3/7 + 3/7*a**3 - 3/7*a + 3/7*a**2 = 0. What is a?
-1, 1
Let d be (-45)/(-25)*(-20)/(-6). Suppose 0*n**2 + 30*n**2 - d*n - 15*n**3 - 27*n**3 + 3*n**2 = 0. Calculate n.
0, 2/7, 1/2
Let k(y) be the first derivative of 3*y**4/4 - 4*y**3 + 39. What is x in k(x) = 0?
0, 4
Let p(k) be the first derivative of k**6/105 - 6*k**5/35 + 9*k**4/7 - 36*k**3/7 + 81*k**2/7 + 2*k + 3. Let h(j) be the first derivative of p(j). Factor h(o).
2*(o - 3)**4/7
Solve -y**3 + 77*y**2 + 4 + 0 - 50*y + 18*y - 48*y**3 = 0 for y.
2/7, 1
Let i = 1369/2100 + -16/25. Let s(n) be the third derivative of -1/210*n**5 + 0 + i*n**6 + 0*n + 0*n**4 + 0*n**3 - 4/735*n**7 - 2*n**2. Factor s(a).
-2*a**2*(a - 1)*(4*a - 1)/7
Find r, given that 16/3*r - 23/6*r**2 - 2 + 5/6*r**3 = 0.
3/5, 2
Let j(g) = -5*g**3 - 11. Let y be (23 + (-4)/4)/(-2). Let s(a) = a**3 + 2. Let p(n) = y*s(n) - 2*j(n). Factor p(t).
-t**3
Let i(q) = -14*q**2 + 9*q. Let n(o) = -5*o**2 + 3*o. Let t(b) = -4*i(b) + 11*n(b). Factor t(w).
w*(w - 3)
Let c(r) = -r**2 - 4*r - 3. Let b be c(-3). Let k(x) be the second derivative of b - 4/9*x**3 - x + 4/9*x**4 + 1/6*x**2. Factor k(f).
(4*f - 1)**2/3
Let y(a) be the first derivative of -3*a**4/8 + 3*a**3/2 - 9*a**2/4 + 3*a/2 - 29. Factor y(s).
-3*(s - 1)**3/2
Suppose -4*b - 4 = -f + 3*f, 2*f - 11 = b. Determine v, given that 0*v**2 + v + f*v**3 + 2*v**3 - 2*v**3 + 5*v**2 = 0.
-1, -1/4, 0
Let c = -5 - -8. Suppose 0 = c*m - 3*q - 6, -10 = -q - 4*q. Factor -2*v**5 - 14*v**4 + 14*v**m.
-2*v**5
Solve 3*c**2 + 9*c**3 - 3 - 6*c**3 - 3*c + 0*c**2 = 0 for c.
-1, 1
Factor -6*c + 5 - 6*c**2 - 4*c - 10*c**2 + c**2.
-5*(c + 1)*(3*c - 1)
Let o(n) be the first derivative of 2*n**6/3 - 12*n**5/5 + 3*n**4 - 4*n**3/3 + 1. Factor o(u).
4*u**2*(u - 1)**3
Let n = -147 + 148. Solve -n - 3/2*l - 1/2*l**2 = 0.
-2, -1
Let s(n) be the first derivative of -8*n + 4*n**4 + 6/5*n**5 - 2 + 2/3*n**3 - 8*n**2. Solve s(o) = 0 for o.
-2, -1, -2/3, 1
Factor -3/5*l**2 - 21/5*l - 18/5.
-3*(l + 1)*(l + 6)/5
Suppose 0 = -w - 0*w + 4. Suppose 26*n - 18*n**2 + 75*n**w - 85*n**3 - 17*n + 27*n - 8 = 0. What is n?
-2/3, 2/5, 1
Suppose -4 = 4*h - 68. Suppose -f + 4*i - 6 = 0, 11*f + 3*i = 6*f + h. Determine c, given that 0*c + 2/5 - 2/5*c**f = 0.
-1, 1
Factor -1/2*l - 1/2*l**4 - 3/2*l**2 + 0 - 3/2*l**3.
-l*(l + 1)**3/2
Let b be (0/(-3))/(9/(-12)*-4). Let o(i) be the second derivative of -1/2*i**2 - 4*i - 1/3*i**3 + b - 1/12*i**4. Suppose o(z) = 0. What is z?
-1
Let b(r) = -r**2 + 1. Let l be b(1). Factor -1 + u**2 - 3*u**2 + l*u - 8*u - 7.
-2*(u + 2)**2
Let w(b) be the first derivative of 3*b**4/16 + b**3 + 3*b**2/2 - 34. Let w(l) = 0. What is l?
-2, 0
Let i(n) be the second derivative of n**6/105 - 3*n**5/35 + 3*n**4/14 + 7*n. Factor i(x).
2*x**2*(x - 3)**2/7
Let m be (-28)/(-7)*7/2. What is y in 21*y + 12*y + m*y**2 - 2 + 5*y - 10 = 0?
-3, 2/7
Suppose 2/3*u**3 + 0*u + 0*u**2 - 2/3*u**4 + 0 = 0. What is u?
0, 1
Let c be 3/((-18)/(-4)) - 0. Suppose 5*s - 4*s = 2. Factor -2*d**s - c - 7/3*d.
-(2*d + 1)*(3*d + 2)/3
Let t = 33/4 + -8. Find m such that m + 1 + t*m**2 = 0.
-2
Factor -3/2*j**3 - 5/2*j**2 + 2*j + 2.
-(j - 1)*(j + 2)*(3*j + 2)/2
What is p in 41*p + 3*p**5 - 2*p**3 - 4*p**5 + 2*p**5 - 40*p = 0?
-1, 0, 1
Let k(v) be the third derivative of v**5/30 - v**4/6 - v**3 - v**2. Factor k(w).
2*(w - 3)*(w + 1)
Let d = -5 - -8. Suppose 3 = 4*u - o - 1, -4*o - 3 = -d*u. Factor u - 3*c + c + 3*c + 3*c**3 - 5*c**2.
(c - 1)**2*(3*c + 1)
Factor 9*p - 7*p - 4*p**2 - 4*p**3 - p**3 + 7*p**3.
2*p*(p - 1)**2
Let l(z) = z**5 + 3*z**5 + z + 6*z - 4*z**4 - 7*z**3. Let h(x) = -x**5 + x**4 + 2*x**3 - 2*x. Let i(r) = 7*h(r) + 2*l(r). Suppose i(f) = 0. Calculate f.
0, 1
Let u(c) be the third derivative of c**9/37800 - c**8/16800 - c**7/6300 + c**6/1800 + c**4/6 + 4*c**2. Let a(t) be the second derivative of u(t). Factor a(y).
2*y*(y - 1)**2*(y + 1)/5
Let y(w) be the first derivative of -4 - 1/4*w**3 + 0*w**2 + w - 1/16*w**4. Factor y(i).
-(i - 1)*(i + 2)**2/4
Let q(v) be the third derivative of -v**6/60 - 8*v**5/15 - 15*v**4/4 + 54*v**3 - 35*v**2. Find b, given that q(b) = 0.
-9, 2
Let n = -39 + 39. Let p(a) be the first derivative of -1/6*a**4 + 0*a**2 - 3 + n*a - 2/9*a**3. Let p(k) = 0. Calculate k.
-1, 0
Suppose -6*q = -11 - 1. Factor 0 + 0*t - 2/3*t**q.
-2*t**2/3
Suppose -6*m = j - 4*m + 8, -5*m - 20 = j. Let l = 67/2 - 33. Let l*w**3 + 0*w**2 + j*w + 0 = 0. What is w?
0
Let z(f) be the second derivative of -f**6/60 + f**5/15 - f**4/9 - f**3/3 - 3*f. Let a(m) be the second derivative of z(m). Factor a(g).
-2*(3*g - 2)**2/3
Let -2/7*p**2 + 8/7 - 6/7*p = 0. Calculate p.
-4, 1
Solve -7*x**2 - 3*x**3 + 8*x**2 + 11*x**2 = 0.
0, 4
Let d(v) be the third derivative of v**8/112 - v**7/10 + 7*v**6/40 + 23*v**5/20 - v**4 - 8*v**3 + 21*v**2. Suppose d(h) = 0. What is h?
-1, 1, 4
Factor 18/7 - 1/7*u**3 - 3*u + 8/7*u**2.
-(u - 3)**2*(u - 2)/7
Suppose 3*d + 4 = v + 7*d, -3*v + 2*d + 40 = 0. Suppose 5*b + 29 = 3*p + v, 0 = -p + 5*b + 9. Factor 0*q + 4/5*q**3 + 0*q**2 + 0 + 2/5*q**p.
2*q**3*(q + 2)/5
Let r = 977/15 + -199/3. Let v = -8/15 - r. Factor 4/3*k - v*k**2 - 2/3.
-2*(k - 1)**2/3
Let m(g) = -578*g**3 + 1297*g**2 - 280*g + 16. Let k(r) = -r**2. Let v(j) = 5*k(j) + m(j). Factor v(d).
-2*(d - 2)*(17*d - 2)**2
Let n be (13/(-26))/(((-1)/(-1))/(-5)). Find v such that -2 - 1/2*v**3 - 4*v - n*v**2 = 0.
-2, -1
Factor 0 + 1/6*h + 1/6*h**2.
h*(h + 1)/6
Let g(m) = 5*m**2 + 3*m + 6. Let d(q) = -4*q**2 - 2*q - 6. Suppose 3*u - 1 = 20. Let o(c) = u*d(c) + 6*g(c). Factor o(t).
2*(t - 1)*(t + 3)
Let j(f) be the first derivative of 0*f - 2/15*f**3 - 3/10*f**4 + 2/5*f**2 - 2. Factor j(z).
-2*z*(z + 1)*(3*z - 2)/5
Let n(i) be the third deri