0*j. Suppose k(g) = 0. What is g?
0, 1, 2
Let p(m) be the third derivative of -m**6/80 + m**4/16 + m**2. Solve p(q) = 0 for q.
-1, 0, 1
Let a be (3 + 14/(-4))*-2. Let l = a + -1. Factor 0 - 2/3*q + l*q**4 + 0*q**2 - 2/3*q**5 + 4/3*q**3.
-2*q*(q - 1)**2*(q + 1)**2/3
Let c(o) be the second derivative of 0 + 0*o**3 + 0*o**2 + 3*o + 1/70*o**5 + 1/42*o**4. Factor c(m).
2*m**2*(m + 1)/7
Let d(q) = -31*q**4 + 9*q**3 + 16*q**2 - 6*q - 6. Let i(o) = 61*o**4 - 19*o**3 - 31*o**2 + 11*o + 11. Let z(t) = -11*d(t) - 6*i(t). Solve z(g) = 0.
-2/5, 0, 1
Factor 132 + 11*q**3 + 4*q**4 + 5*q**2 - 132 - 2*q.
q*(q + 1)*(q + 2)*(4*q - 1)
Let n(m) = -3*m**4 + 7*m**3 + 21*m**2 + 25*m + 6. Let c(y) = -13*y**4 + 29*y**3 + 84*y**2 + 101*y + 23. Let v(f) = -2*c(f) + 9*n(f). Solve v(z) = 0.
-1, 8
Suppose -1/2*l**3 + 1/4*l**4 + 0*l**2 + 0 + 0*l = 0. What is l?
0, 2
Let n(v) = 2*v**4 - 8*v**3 + v**2 + 8*v - 6. Let k(a) = 22*a**4 - 88*a**3 + 10*a**2 + 88*a - 66. Let s(z) = 6*k(z) - 68*n(z). Solve s(o) = 0 for o.
-1, 1, 3
Let y(h) be the third derivative of h**7/105 + h**6/10 + 13*h**5/30 + h**4 + 4*h**3/3 + 22*h**2. Factor y(p).
2*(p + 1)**2*(p + 2)**2
Let d = 31 - 14. Suppose x + 4*b = -d, -3*b = -b + 10. Solve -x - h**3 - 2 - 3*h + 4 - 3*h**2 = 0.
-1
Let k(h) be the first derivative of -h**7/105 + h**6/60 + h**5/30 - h**4/12 + 2*h**2 + 4. Let g(q) be the second derivative of k(q). What is p in g(p) = 0?
-1, 0, 1
Suppose -3*d = 2 - 14. Let g = d + -1. Factor b**3 + 11*b - 10*b - 2*b**g.
-b*(b - 1)*(b + 1)
Let w(z) be the first derivative of -z**7/1260 - z**6/540 + z**5/90 - 4*z**3/3 + 1. Let o(i) be the third derivative of w(i). Solve o(g) = 0.
-2, 0, 1
Let m(p) be the first derivative of 0*p**3 + 2*p - 1/5*p**2 + 1/30*p**4 - 2. Let h(j) be the first derivative of m(j). Find r such that h(r) = 0.
-1, 1
Let c(q) be the first derivative of q**6/5 + 4*q**5/25 - 4*q**4/15 - 4*q**3/15 - q**2/15 + 16. Determine d, given that c(d) = 0.
-1, -1/3, 0, 1
Let x be 0 + (-3 - (-18)/3). Suppose -6*y = -x*y. Determine v, given that -2/9*v**2 + y*v + 2/9 = 0.
-1, 1
Let h = 63 + -125/2. Find i, given that -1 + i**2 + h*i**3 - 1/2*i = 0.
-2, -1, 1
Suppose a**3 - 1/8*a**4 + a**2 - 2*a - 1/8*a**5 - 2 = 0. Calculate a.
-2, -1, 2
Let k be (-2)/(-5) + 6/(-40). Let c = 11 - 7. Factor -w**2 + 3/4*w**c - 1/2*w**3 + 1/2*w + k.
(w - 1)**2*(w + 1)*(3*w + 1)/4
Let m be (3 + -3)/(0 + -1). Suppose m = 5*x - 5, 2*k + 3*k + 4*x = 14. Factor 4*p**2 - k*p - 4*p**3 + 2*p**3 + 0*p.
-2*p*(p - 1)**2
Let j = -97232/61 - -1594. Let h = 108/427 + j. Solve 0*z + h*z**2 + 2/7*z**3 - 2/7*z**5 + 0 - 2/7*z**4 = 0 for z.
-1, 0, 1
Let n = -74 - -74. Factor 2/5*q**2 + n*q + 0 - 2/5*q**3.
-2*q**2*(q - 1)/5
Suppose -q - 3*u = 5, q - 4*q - 7 = 5*u. Determine t so that -1 + 0 + 2*t**3 + q = 0.
0
Let z(l) be the first derivative of -1/2*l**2 - 4/3*l**3 - 4/5*l**5 - 1/6*l**6 + 0*l - 2 - 3/2*l**4. What is t in z(t) = 0?
-1, 0
Solve -1/5*k**5 + 0*k**2 + 0*k**4 + 0 + 2/5*k**3 - 1/5*k = 0 for k.
-1, 0, 1
Let v(k) be the first derivative of 2*k**6/3 + 4*k**5/5 + 9. Factor v(j).
4*j**4*(j + 1)
Let t be (12/18)/(4/8). Factor -2*b**2 - 1/3*b**4 + t*b - 1/3 + 4/3*b**3.
-(b - 1)**4/3
Factor c - 10*c - 2*c**2 + 11*c.
-2*c*(c - 1)
Let c(j) be the third derivative of 5*j**2 + 1/4*j**4 + 0 + 1/2*j**3 + 0*j + 1/20*j**5. Solve c(h) = 0 for h.
-1
Let d(y) be the second derivative of -y**4/16 + 3*y**3/8 - 3*y**2/4 + 13*y. Factor d(n).
-3*(n - 2)*(n - 1)/4
Let o = -91 + 91. What is n in -2*n + 2/3*n**3 + o + 4/3*n**2 = 0?
-3, 0, 1
Let s(o) = o + 1. Let q be s(0). Let w be 4/12 - q/3. Factor -6*h**2 + w*h**3 - h**4 + 7*h**2 - h**3 + h**5.
h**2*(h - 1)**2*(h + 1)
Let i be 6/35 + (-4)/(-10). Suppose 29*q = 28*q + 4*g - 20, 4*q - 3*g + 15 = 0. Suppose 0 + 2/7*v**3 + q*v + 0*v**2 + 2/7*v**5 + i*v**4 = 0. Calculate v.
-1, 0
Let v(l) be the third derivative of -l**7/490 - l**6/70 - l**5/28 - l**4/28 - 8*l**2. Factor v(u).
-3*u*(u + 1)**2*(u + 2)/7
Let q(d) be the first derivative of -2*d**3/3 - 4*d**2 - 6*d + 28. Factor q(l).
-2*(l + 1)*(l + 3)
Let z(s) be the second derivative of -s**4/48 - s**3/24 - 5*s. Factor z(k).
-k*(k + 1)/4
Let m(j) be the second derivative of 2*j**7/63 - 22*j**6/45 + 13*j**5/5 - 61*j**4/9 + 88*j**3/9 - 8*j**2 - 2*j + 2. Factor m(w).
4*(w - 6)*(w - 2)*(w - 1)**3/3
Let j(g) be the first derivative of 3*g**5/40 - 3*g**4/32 - g**3/8 + 3*g**2/16 + 7. Factor j(a).
3*a*(a - 1)**2*(a + 1)/8
Let s(p) = p**3 + p - 1. Let t(q) = 3*q**5 + 9*q**3 + 12*q - 12. Let v(k) = 12*s(k) - t(k). What is b in v(b) = 0?
-1, 0, 1
Let d(w) be the third derivative of -w**4/12 - 3*w**3/2 + w**2. Let x be d(-6). Factor 4*i**x + i**2 + 0*i**5 - i**4 - 3*i**3 - i**5.
-i**2*(i - 1)*(i + 1)**2
Let m(h) = h**4 - 8*h**3 - 3*h**2 + 8*h - 7. Let j(n) = 4*n**4 - 24*n**3 - 8*n**2 + 24*n - 20. Let q(g) = -3*j(g) + 8*m(g). Factor q(p).
-4*(p - 1)**3*(p + 1)
Let p(a) be the first derivative of a**5/60 - a**3/6 - 3*a**2/2 - 3. Let t(j) be the second derivative of p(j). Find r such that t(r) = 0.
-1, 1
Let o = 10 - 7. Let c be 6/(-40) + (-222)/(-555). Factor p + 3/4*p**4 - 1/2*p**2 - c - p**o.
(p - 1)**2*(p + 1)*(3*p - 1)/4
Let l(h) = -8*h**2 + 5*h - 2. Let b(o) = o**2 - o + 1. Let z(t) = -5*b(t) - l(t). Suppose z(c) = 0. Calculate c.
-1, 1
Let m = 1/693 + 229/1386. Factor m*n**2 - 1/3 + 1/6*n.
(n - 1)*(n + 2)/6
Let s(b) be the first derivative of 0*b**2 - 1/16*b**4 - 1/24*b**6 + 2 + 0*b**3 + 0*b - 1/10*b**5. Factor s(n).
-n**3*(n + 1)**2/4
Let 2/7*o**2 + 6/7*o**3 + 0*o + 0 = 0. Calculate o.
-1/3, 0
Let j(k) be the first derivative of -k**3/2 - 3*k**2/4 + 9*k + 27. Factor j(b).
-3*(b - 2)*(b + 3)/2
Let b = -2 - -6. Suppose -7*c**4 - 9*c**4 + 9*c**2 + 12*c**3 + 19*c**b = 0. Calculate c.
-3, -1, 0
Let w = 4/25 + 88/75. Let -w*i - 1/3*i**2 - 4/3 = 0. Calculate i.
-2
Suppose 22/15*j**2 + 8/5*j**3 - 14/15*j**4 - 8/5*j - 8/15 = 0. Calculate j.
-1, -2/7, 1, 2
Suppose 0 = u - 2*u - 62. Let l be u/(-42) - 1/3. What is v in 8/7 + 2/7*v**2 + l*v = 0?
-2
Let a = 5 + -3. Suppose -1 = y + a*s, 0 + 1 = -3*y - 5*s. Determine b so that -4/3*b**2 - 4/3*b**y + 0 - 1/3*b**4 + 0*b = 0.
-2, 0
Suppose 0*d**2 - 8*d - 7*d**2 + 3*d**2 = 0. What is d?
-2, 0
Let x(s) be the second derivative of -s**7/105 + 7*s**6/75 - 8*s**5/25 + 2*s**4/5 + 9*s - 4. Factor x(z).
-2*z**2*(z - 3)*(z - 2)**2/5
Let y(f) be the third derivative of -f**7/11340 - f**6/1620 - f**5/540 + f**4/12 - f**2. Let n(z) be the second derivative of y(z). Solve n(s) = 0 for s.
-1
Let m(d) be the first derivative of d**6/120 - d**5/30 - d**2 + 3. Let k(r) be the second derivative of m(r). Solve k(i) = 0.
0, 2
Let i = -3/107 - -241/963. Factor 4/9*b - 2/9 - i*b**2.
-2*(b - 1)**2/9
Let l(s) be the first derivative of -s**6/9 - 8*s**5/15 - 5*s**4/6 - 4*s**3/9 - 49. Factor l(b).
-2*b**2*(b + 1)**2*(b + 2)/3
Let i(p) be the first derivative of 5/3*p**3 + 3 + 0*p - 7/4*p**4 + 3/5*p**5 - 1/2*p**2. Factor i(f).
f*(f - 1)**2*(3*f - 1)
Let w(v) be the first derivative of 4*v**3/15 - 4*v**2/5 + 4*v/5 + 2. Solve w(c) = 0 for c.
1
Let w(b) = -b**2 + 3*b - 2. Let x = 2 + 0. Let l be w(x). Solve 1/2*d**4 + l - 5/4*d**3 + 0*d - 1/2*d**2 + 5/4*d**5 = 0 for d.
-1, -2/5, 0, 1
Let z(q) be the third derivative of 0*q**3 + 1/96*q**6 + 1/120*q**5 + 0 + 0*q - 1/120*q**7 - q**2 + 0*q**4. Factor z(a).
-a**2*(a - 1)*(7*a + 2)/4
Factor 0*f - 8/9*f**4 + 0 + 0*f**2 + 2/9*f**5 + 8/9*f**3.
2*f**3*(f - 2)**2/9
Let x(m) = 6*m**2 + 11*m - 17. Let i(b) = 3*b**2 - 1 - 8 + 6*b + 0*b. Let h(g) = 5*i(g) - 3*x(g). Determine n, given that h(n) = 0.
-2, 1
Let x(c) be the first derivative of c**4/10 - 16*c**3/15 + 45. Find m such that x(m) = 0.
0, 8
Solve 0 + s**3 + 4/3*s**2 + 1/3*s**5 - 4/3*s**4 - 4/3*s = 0 for s.
-1, 0, 1, 2
Let q = 21 + -16. Let b(l) be the third derivative of -1/735*l**7 + 0*l**3 + 0*l + 0 + 1/210*l**q + 0*l**6 - l**2 + 0*l**4. Factor b(z).
-2*z**2*(z - 1)*(z + 1)/7
Let n = 250 + -1246/5. Solve -4/5*p**3 + 16/5*p**2 - 14/5*p - 4/5*p**4 + 2/5*p**5 + n = 0 for p.
-2, 1
Factor 2/5*x**2 + 0*x - 2/5.
2*(x - 1)*(x + 1)/5
Let d(u) be the second derivative of 3*u**5/50 + u**4/3 + 4*u**3/15 - 8*u**2/5 + 3*u. Determine l so that d(l) = 0.
-2, 2/3
Let x be ((-44)/(-154))/(3/7). Factor 4/3*z + x + 2/3*z**2.
2*(z + 1)**2/3
Let d(y) = -6*y + 50. Let h be d(8). Let j(z) b