. Let 28/3*v**4 - k*v + 0*v**2 + 2/3 + 41/3*v**3 = 0. What is v?
-1, 1/4, 2/7
Let i(d) be the second derivative of -d**7/21 + d**5/5 - d**3/3 - 6*d. Solve i(q) = 0.
-1, 0, 1
Let f be (-4 + (18 - 2))*8. Let w be f/(-120) - 8/(-10). Determine z so that 0*z + 1/4*z**4 + 0*z**2 + 1/2*z**3 + w = 0.
-2, 0
Let o be (-6)/14 + 18/42. Let g(l) be the third derivative of -1/9*l**3 + 1/90*l**5 + o*l + 0*l**4 + 0 + 2*l**2. Solve g(f) = 0 for f.
-1, 1
Let k(s) = -6*s - 388. Let u be k(-65). Solve -2/9*c + 0 + 2/9*c**u = 0.
0, 1
What is f in -2/11*f - 14/11*f**3 - 6/11 + 2*f**2 = 0?
-3/7, 1
Let g = -5476/11 + 498. Suppose -8/11*z + 6/11 + g*z**2 = 0. What is z?
1, 3
Let l(u) = -3*u**3 + 3*u**2 + 6*u - 3. Let f(q) be the first derivative of 3*q**4/4 - q**3 - 7*q**2/2 + 3*q + 5. Let j(n) = 3*f(n) + 4*l(n). Factor j(p).
-3*(p - 1)**2*(p + 1)
Let z = -3 - -8. Suppose 3*g - 2*g - 1 = -2*v, v + 1 = 0. Solve 2*s - 5 + 2*s**2 + 3*s**g + 3 - z*s = 0.
-1, -2/3, 1
Suppose 5*b = -3*a + 31, -29*a = -30*a - 4*b + 22. Let 3*i - 9/2 - 1/2*i**a = 0. What is i?
3
Suppose 0 = 4*p - 5*j - 2, 4*j - 23 = p - 6*p. Factor -6/5*u + 4/5 + 2/5*u**p + 0*u**2.
2*(u - 1)**2*(u + 2)/5
Let q(m) be the second derivative of 0 + 1/18*m**3 + 1/18*m**4 + 1/60*m**5 + 0*m**2 + 2*m. Solve q(v) = 0 for v.
-1, 0
Let c(a) = a**2 + 3*a - 2. Let k be c(-3). Let l = k - -4. Factor 1 - i - i**3 - i**5 + i**4 - 3*i**2 + 3*i**3 + i**l.
-(i - 1)**3*(i + 1)**2
Let y be 3/4 + 9350/1400. Find b, given that -8/7 - 92/7*b**3 - 108/7*b**2 - 4*b**4 - y*b = 0.
-1, -2/7
Let c(h) be the first derivative of 1/10*h**5 + 1/8*h**2 - 2 + 0*h**4 - 1/24*h**6 + 0*h - 1/6*h**3. Factor c(q).
-q*(q - 1)**3*(q + 1)/4
Let l(d) be the second derivative of -d**5/20 + d**4/4 + 11*d**3/6 - d**2 - 12*d. Let z be l(5). Factor -6/7*s**2 + 6/7*s + 2/7*s**z - 2/7.
2*(s - 1)**3/7
Let g = -11 - -15. Suppose 0 = d + 4*i - 10, -5*d - 5*i = -g*i - 12. Let 1/4*c**3 + 1/2 - 3/4*c**d - 1/4*c + 1/4*c**4 = 0. What is c?
-2, -1, 1
Suppose -2*z - 5*c = 14, -3*z - 2*c = -0 - 1. Factor 3/2*g**z - 3/2*g**4 + 3/2*g**2 + 0*g + 0 - 3/2*g**5.
-3*g**2*(g - 1)*(g + 1)**2/2
Let p(t) be the first derivative of 3*t**4/8 - 5*t**3/2 + 21*t**2/4 - 9*t/2 - 36. Factor p(y).
3*(y - 3)*(y - 1)**2/2
Let o(b) be the third derivative of 1/330*b**5 - 2/33*b**3 + 0 + 1/132*b**4 + 0*b + 6*b**2. Factor o(h).
2*(h - 1)*(h + 2)/11
Suppose i = -p, 6*i + 4*p = i + 3. Factor -b + b**3 - 4*b**2 + 3*b + b**i.
2*b*(b - 1)**2
Suppose 4*c = 9*c. Let w be c/(9/(-3)) - -2. Factor -2*r - 2*r + 0 + 2*r**3 + r**4 + w*r - 1.
(r - 1)*(r + 1)**3
Let h(x) be the first derivative of -3*x**4/32 + x**3/4 + 9. Factor h(t).
-3*t**2*(t - 2)/8
Let y(x) be the third derivative of x**8/168 + 3*x**7/70 + x**6/15 - x**5/10 - 5*x**4/12 - x**3/2 - 35*x**2. Determine f, given that y(f) = 0.
-3, -1, -1/2, 1
Let l(z) = -z**5 + z**4 + z**2 + 1. Let d(p) = 13*p**5 - 13*p**4 - 6*p**3 - 9*p**2 + 4*p - 11. Let n(w) = 2*d(w) + 22*l(w). Solve n(s) = 0 for s.
-1, 0, 1, 2
Factor -2/5*k - 1/5*k**2 - 1/5.
-(k + 1)**2/5
What is k in 40*k**2 + 54*k**4 + 25*k**3 + 48*k**5 - 3*k**5 - 144*k**4 - 20*k = 0?
-2/3, 0, 2/3, 1
Let o be 4/(-3)*9/2. Let z be ((-4)/o)/(8/36). Find h such that -15*h + z*h**2 + 0 - h + 4*h + 12 = 0.
2
Let u = 11 - 8. Let z(o) be the first derivative of -2/9*o**u + 2 - 8/3*o + 4/3*o**2. Factor z(t).
-2*(t - 2)**2/3
Let c be 4/54*(33/(-11) + 6). Factor 0*a + 4/9*a**3 - c*a**4 - 2/9*a**2 + 0.
-2*a**2*(a - 1)**2/9
Solve 1 + 1/2*m**2 + 3/2*m = 0.
-2, -1
Let v(w) be the third derivative of 2*w**3 + 0*w + 5*w**2 + 0 + 1/2*w**4 - 3/20*w**5. Suppose v(n) = 0. Calculate n.
-2/3, 2
Let g(q) be the first derivative of q**7/420 - q**6/90 + q**5/60 + 2*q**3/3 + 1. Let t(b) be the third derivative of g(b). Let t(y) = 0. What is y?
0, 1
Let w(z) be the third derivative of z**6/540 - 2*z**5/135 + 5*z**4/108 - 2*z**3/27 + 17*z**2. Solve w(p) = 0 for p.
1, 2
Determine a, given that 0*a**3 + 2/11*a**4 + 0*a**2 + 0 + 0*a + 6/11*a**5 = 0.
-1/3, 0
Factor -8/5*g - 2*g**3 + 16/5*g**2 + 0 + 2/5*g**4.
2*g*(g - 2)**2*(g - 1)/5
Let u(n) be the second derivative of 2*n**7/7 + 4*n**6/5 + 3*n**5/20 - 5*n**4/4 - n**3/2 + 3*n**2/2 + 2*n. Factor u(x).
3*(x + 1)**3*(2*x - 1)**2
Let t(u) be the third derivative of -u**6/180 + u**5/90 + u**4/36 - u**3/9 + 11*u**2. Factor t(j).
-2*(j - 1)**2*(j + 1)/3
Let j(d) = 4*d**5 - 12*d**4 + 4*d**3 + 4*d**2 - 8*d. Let q(f) = 12*f**5 - 36*f**4 + 13*f**3 + 13*f**2 - 25*f + 1. Let v(r) = -11*j(r) + 4*q(r). Factor v(x).
4*(x - 1)**4*(x + 1)
Let h(v) = -v**2 - v. Suppose -o - 3 = 2*o. Let f be h(o). Solve 12/5*w**4 - 12/5*w**2 + f - 4/5*w - 1/5*w**3 + w**5 = 0 for w.
-2, -1, -2/5, 0, 1
Let w = 406/3 + -135. Let -1/3 - w*b**3 + 1/3*b**2 + 1/3*b = 0. What is b?
-1, 1
Let o(i) be the second derivative of -i**4/42 + i**3/7 + 4*i**2/7 - 28*i. Find t, given that o(t) = 0.
-1, 4
Suppose -6*y - 7*y + 8*y = 0. Let 0 + 2/3*l**2 + y*l = 0. Calculate l.
0
Let t be 11/(-4) + 1/(-4). Let y be t - (-3)/9*11. Let -1/3*p**2 - y - p = 0. What is p?
-2, -1
Let k(i) be the first derivative of -i**6/30 + i**4/4 + i**3/3 + 6*i + 5. Let c(z) be the first derivative of k(z). Factor c(n).
-n*(n - 2)*(n + 1)**2
Let v(m) be the second derivative of -m**4/6 + 2*m**3/3 - m**2 + 11*m. Factor v(n).
-2*(n - 1)**2
Let q be (64/20)/(11/(-5)). Let c = -90/77 - q. Factor 8/7*y + c*y**2 + 8/7.
2*(y + 2)**2/7
Let x be ((-10)/(-35))/(2/14). Factor -x*t**2 - t**4 + 3*t**3 + 0*t**2 - 7*t + 7*t.
-t**2*(t - 2)*(t - 1)
Suppose -2*c + 9 = y, 0 = -4*c + 4*y - 16 + 4. What is k in 3*k + 9*k**c - 5*k + 1 - 8*k**2 = 0?
1
Let a(f) be the second derivative of -f**4/48 + 5*f**3/24 + 3*f**2/4 - 21*f. Factor a(w).
-(w - 6)*(w + 1)/4
Let v(k) be the second derivative of k**8/26880 + k**7/5040 + k**4/2 - k. Let h(r) be the third derivative of v(r). Determine m, given that h(m) = 0.
-2, 0
Let n(d) be the third derivative of -1/105*d**7 - 16/3*d**3 + 0*d + 8/3*d**4 + 2/15*d**6 + 0 - 4/5*d**5 + 2*d**2. Solve n(j) = 0 for j.
2
Let b(f) be the third derivative of f**9/189 - f**8/35 + 13*f**7/210 - f**6/15 + f**5/30 - f**3 - 5*f**2. Let r(l) be the first derivative of b(l). Factor r(j).
4*j*(j - 1)**2*(2*j - 1)**2
Let i(r) = 2*r**3 - 21*r**2 + 8*r - 13. Let g(k) = 6 + 0*k**2 - k**3 - 4*k + 0 + 10*k**2. Let t(u) = 13*g(u) + 6*i(u). Let t(b) = 0. What is b?
0, 2
Factor 0 + 6/5*v**5 - 24/5*v**2 + 6/5*v + 36/5*v**3 - 24/5*v**4.
6*v*(v - 1)**4/5
Factor 0 - 2/7*o**3 + 2/7*o**2 + 0*o.
-2*o**2*(o - 1)/7
Let b = -3 + 6. Factor -3*p**b - p**4 + 69 - p - 69 - 3*p**2.
-p*(p + 1)**3
Suppose -20 = -5*s - 5*a, 2*a + 20 = s + 4*s. Factor 6*h + s*h**2 + 0 + 2/3*h**3.
2*h*(h + 3)**2/3
Let n be 3 + (-1)/3 + 348/(-144). Factor -1/2*k**2 + n + 1/2*k**3 + 1/4*k**4 - 1/4*k**5 - 1/4*k.
-(k - 1)**3*(k + 1)**2/4
Let k be ((-231)/(-28))/(3/8). Suppose -3*s + 2*s + 3*b = 10, 0 = -3*s - 4*b + k. Find m such that 6/7*m**4 - 4/7*m**s + 0*m + 0 - 2/7*m**3 = 0.
-2/3, 0, 1
Let k = 6 + -5. Let f = k + 2. Factor -4*l**2 - 2 + f*l**2 + 6*l - 2*l - l**2.
-2*(l - 1)**2
Let a(d) be the third derivative of d**8/672 + d**7/210 - d**6/120 - d**5/30 + d**4/48 + d**3/6 + 4*d**2. What is m in a(m) = 0?
-2, -1, 1
Let a be 10/(-4)*4/(-20). Solve -1/2 + c - a*c**2 = 0 for c.
1
Let b(w) be the second derivative of -1/10*w**6 + 2/9*w**3 + 1/18*w**4 - 1/5*w**5 + 0 + 4*w - 1/6*w**2. Factor b(z).
-(z + 1)**2*(3*z - 1)**2/3
Let n = 4 + -2. Let l be 7 - 4 - (-1 + n). Factor -1/3 - 1/3*f**5 - 2/3*f**3 + f + f**4 - 2/3*f**l.
-(f - 1)**4*(f + 1)/3
Factor -4/11*v - 38/11*v**2 + 0 - 120/11*v**3 - 126/11*v**4.
-2*v*(3*v + 1)**2*(7*v + 2)/11
Let j(z) be the first derivative of 1/14*z**4 - 2/7*z**3 + 2/35*z**5 + 4/7*z - 1/7*z**2 + 4. Let j(f) = 0. Calculate f.
-2, -1, 1
Let c(j) be the third derivative of -j**5/90 + 4*j**4/9 - 64*j**3/9 - 27*j**2. Factor c(r).
-2*(r - 8)**2/3
Let j = 168676/9 + -18760. Let i = -18 - j. Factor -2/9*t + 4/9 - 4/9*t**2 + i*t**3.
2*(t - 2)*(t - 1)*(t + 1)/9
Let n = -163 + 167. What is v in 5/2*v - v**n + 2*v**2 + 5/2*v**5 - 1 - 5*v**3 = 0?
-1, 2/5, 1
Let h(g) be the second derivative of -1/10*g**6 + g**3 - 5*g - 9/20*g**5 + 0 + 1/4*g**4 + 0*g**2 + 1/14*g**7. Factor h(w).
3*w*(w - 2)*(w - 1)*(w + 1)**2
Let w(b) = 5 - b + 2 + 0. Let d be w(5). Determine x, given that 2*x + 2 + 3*x**d - 1 - x**3 - 5