4/7*j**3 + t*j**4 - 6/7*j**5 + 2/7*j - 8/7*j**2 = 0. What is j?
-1, 0, 1/3, 1
Let g be ((-70)/(-105))/((-4)/(-18)) + -3. Factor 0 + g*v**2 + 0*v + 2/15*v**4 - 2/15*v**3.
2*v**3*(v - 1)/15
Factor h**3 + h**5 + 57 + 2*h**4 - 30 - 27.
h**3*(h + 1)**2
Let j(p) be the second derivative of -p**7/35 - 11*p**6/75 - 3*p**5/10 - 3*p**4/10 - 2*p**3/15 + 13*p. Factor j(v).
-2*v*(v + 1)**3*(3*v + 2)/5
Let z(m) = -10*m**3 - 5*m**2 + 30*m + 25. Let i(j) = 11*j**3 + 6*j**2 - 29*j - 24. Let u(q) = 5*i(q) + 6*z(q). Let u(k) = 0. What is k?
-2, -1, 3
Let c(l) = 8*l + 26. Let b be c(-3). Determine i so that 45/2*i**4 - 6*i**5 + 15*i**b + 0*i - 30*i**3 - 3/2 = 0.
-1/4, 1
Let y = 20361/40 + -509. Let i(v) be the third derivative of -1/3*v**3 - 1/120*v**6 - 1/420*v**7 + 0 + 0*v + y*v**5 + 4*v**2 + 1/12*v**4. Factor i(t).
-(t - 1)**2*(t + 2)**2/2
Let -8/3 + 1/3*k**3 + 2/3*k**2 - 4/3*k = 0. What is k?
-2, 2
Let t(a) be the first derivative of a**6/1440 - a**5/480 - a**4/48 + 5*a**3/3 + 1. Let j(i) be the third derivative of t(i). Let j(m) = 0. What is m?
-1, 2
Let z be (3*36/135)/(2/5). Let i(w) be the first derivative of 1/20*w**5 - 1 - 1/6*w**3 + 1/6*w**6 + 1/2*w**z - 1/2*w**4 + 1/4*w. Suppose i(q) = 0. What is q?
-1, -1/4, 1
Suppose -p + 3*s = -2*p + 3, -4*p + 2*s + 12 = 0. Let o(h) be the third derivative of 0*h + 0 - 1/60*h**6 + 3*h**2 + 0*h**4 + 1/30*h**5 + 0*h**p. Factor o(j).
-2*j**2*(j - 1)
Let u(t) be the first derivative of 0*t - 4/21*t**3 - 1/7*t**4 - 6 + 0*t**2. Let u(x) = 0. What is x?
-1, 0
Let t(d) = 4*d**5 + 4*d**4 + 16*d**3 - 12*d - 12. Let p(i) = -i**4 - i**3 + i + 1. Let n(l) = 12*p(l) + t(l). Factor n(z).
4*z**3*(z - 1)**2
Let -2/15 + 0*w + 4/15*w**3 + 2/5*w**2 = 0. Calculate w.
-1, 1/2
Let y = 16/11 - 36/55. Let j = 247/5 + -49. Factor y*m**2 - 2/5 - j*m.
2*(m - 1)*(2*m + 1)/5
Solve 3/4*x**2 - 9/8*x + 3/8*x**3 + 0 = 0 for x.
-3, 0, 1
Let c = -1025/3 - -345. Suppose 4*y = -k + 14, -5*y + 11 = 2*k - 8. Suppose -8/3*j**2 - 4/3 - 2/3*j**y - c*j = 0. Calculate j.
-2, -1
Let r(y) be the third derivative of -y**8/20160 + y**7/15120 - y**5/20 + 2*y**2. Let s(u) be the third derivative of r(u). Factor s(i).
-i*(3*i - 1)/3
Let s(c) be the first derivative of -1/5*c**2 + 1/15*c**3 + 1/5*c + 2. Factor s(r).
(r - 1)**2/5
Let n(h) be the second derivative of -7*h**6/180 - 3*h**5/40 + 5*h**4/72 + h**3/4 + h**2/6 - 2*h. Let n(u) = 0. Calculate u.
-1, -2/7, 1
Let a = 4 - 0. Factor 6*j**2 + 0*j - j - j**2 - 2 - a*j**2.
(j - 2)*(j + 1)
Let -2 + 114*a**3 - 233*a**3 + a + 118*a**3 + 2*a**2 = 0. What is a?
-1, 1, 2
Let k be 0 + ((-6)/2 - (-6 + 3)). Suppose -2/13*j**2 + 0*j + k = 0. Calculate j.
0
Let b(l) be the second derivative of 0*l**2 + 0 + 1/126*l**7 - 1/20*l**5 - 1/45*l**6 + 2/9*l**4 - 2/9*l**3 + 5*l. Factor b(q).
q*(q - 2)*(q - 1)**2*(q + 2)/3
Let l(v) be the first derivative of v**3 + 57*v**2/2 + 54*v + 65. Factor l(q).
3*(q + 1)*(q + 18)
Factor -11*c - 24*c**4 + 23*c**4 + 9 - c**3 - 5 + 9*c**2.
-(c - 1)**3*(c + 4)
Let m be (-32)/(-12) - (-4)/(-6). Let a(b) = 3*b - 3. Let h be a(m). Factor -h*u**2 + 3 + u**2 - 1.
-2*(u - 1)*(u + 1)
Let y(z) be the second derivative of z**7/1260 + z**6/90 + z**5/20 + 5*z**4/12 + 3*z. Let b(r) be the third derivative of y(r). What is f in b(f) = 0?
-3, -1
Factor 2/9*t**2 + 2/9*t**3 - 2/9*t**5 + 0 - 2/9*t**4 + 0*t.
-2*t**2*(t - 1)*(t + 1)**2/9
Let a be ((-1)/2)/((-3)/((-18)/(-15))). Factor a*c**2 - 2/5*c + 0.
c*(c - 2)/5
Suppose k = 5*v - 4, 3*k = -2*k + 4*v - 41. Let x = -9 - k. Let x*u**3 - 2/7*u**2 + 0*u + 2/7*u**4 + 0 = 0. What is u?
-1, 0, 1
Find p, given that -4*p**2 + 12*p**3 + 4*p**4 + 6*p**2 - 2*p**2 - 12*p - 8 + 4*p**2 = 0.
-2, -1, 1
What is c in 2/3*c**4 + 7/3*c**5 + 0*c - 2/3*c**2 + 0 - 7/3*c**3 = 0?
-1, -2/7, 0, 1
Let d be 0 + (0 + -1)*-2. Let x = d - -1. Factor 0*z**5 - 2*z**2 - 4*z**5 + 26*z**4 - 6*z**5 - 18*z**x + 4*z.
-2*z*(z - 1)**3*(5*z + 2)
Let r be (-3)/(-6)*-2*(-6)/3. Factor 2/3*l**4 + 0*l**r + 0*l + 0 + 2/3*l**3.
2*l**3*(l + 1)/3
Let a = 426/5 - 85. Factor 0*p + a*p**2 - 1/5.
(p - 1)*(p + 1)/5
Suppose 5/2*x**2 - x + 0 = 0. What is x?
0, 2/5
Let z(f) be the first derivative of f**4/48 + 4*f + 2. Let v(p) be the first derivative of z(p). Suppose v(u) = 0. What is u?
0
Let r(b) be the first derivative of -b**4/7 - 8*b**3/21 + 2*b**2 - 16*b/7 - 13. Find g such that r(g) = 0.
-4, 1
Let c be 2/((1 + -6)/(-5)). Factor 1/4*b**c + 1/2*b + 0.
b*(b + 2)/4
Suppose 2*z = -4 + 8. Factor -7*d**2 - 5*d**3 - d**z + 8*d + 7*d**3.
2*d*(d - 2)**2
Let o = 405 + -3239/8. Factor 1/8 - 1/4*j**2 + o*j.
-(j - 1)*(2*j + 1)/8
Let b(w) = w**3 + 16*w**2 - 18*w - 17. Let z be b(-17). Factor z - 2/3*m - 2/3*m**2.
-2*m*(m + 1)/3
Let a = 11886 + -59688/5. Let u = a + 52. Factor -u + 4/5*j - 2/5*j**2.
-2*(j - 1)**2/5
Let r(l) be the first derivative of 4*l**5/5 - 4*l**4 + 20*l**3/3 - 4*l**2 - 7. Solve r(z) = 0.
0, 1, 2
Let j(a) = a**2 + 5*a - 5. Let k be j(-7). Let h = k + -5. Solve -3*t**4 + 2*t**5 + 2*t + 7*t**4 - h*t**5 - 4*t**2 = 0 for t.
-1, 0, 1
Let k be 1/4 - (-45)/12. What is y in 3 - 17*y**3 - 4*y**3 + 21*y + 3 + 9*y**2 - 15*y**k + 0*y**4 = 0?
-1, -2/5, 1
Let i(g) = 2*g**2 + 2*g - 1. Let v(j) = -3*j**2 - 4*j + 2. Let n(p) = -5*i(p) - 3*v(p). Factor n(q).
-(q - 1)**2
Let u(m) be the third derivative of -m**4/24 + 2*m**3/3 + m**2. Let z be u(0). Find w, given that -2*w - z + 2*w**3 + 4 = 0.
-1, 0, 1
Factor 2*z**2 + 0*z**3 - 2/3*z**4 + 0 - 4/3*z.
-2*z*(z - 1)**2*(z + 2)/3
Let w(u) be the second derivative of 0 + 0*u**2 + 1/4*u**4 + 0*u**3 + 4*u - 3/20*u**5. Factor w(v).
-3*v**2*(v - 1)
Let h(f) be the first derivative of 2*f**5/45 - 13*f**4/9 + 16*f**3 - 54*f**2 - 162*f - 2. Determine d, given that h(d) = 0.
-1, 9
Factor -3*f**3 + 4*f**5 - 4*f**4 - 9*f**3 + 0*f**3 + 4*f**2 + 8*f + 0*f**5.
4*f*(f - 2)*(f - 1)*(f + 1)**2
Let o(y) be the first derivative of -y**3/3 + 3*y**2/2 - 2*y - 21. Solve o(x) = 0.
1, 2
Let v(p) be the first derivative of 4*p**3/3 - 4*p**2 + 4*p - 6. Factor v(o).
4*(o - 1)**2
Let m be 46/14 - (-2)/(-7). Suppose -m*l = -7 - 2. Factor 10/11*o + 2/11*o**l + 8/11*o**2 + 4/11.
2*(o + 1)**2*(o + 2)/11
Let g = -3468419/540 - -6423. Let j(m) be the third derivative of 0*m**4 + g*m**6 + 0*m**3 - 2*m**2 + 0 + 2/945*m**7 + 1/1512*m**8 + 0*m + 0*m**5. Factor j(x).
2*x**3*(x + 1)**2/9
Let o(n) be the second derivative of -1/21*n**4 - 3/70*n**5 - 2*n + 0*n**6 + 0*n**3 + 0*n**2 + 1/147*n**7 + 0. Factor o(x).
2*x**2*(x - 2)*(x + 1)**2/7
Let x(d) = d**3 - 15*d**2 - 14*d - 11. Let t be x(16). Suppose 8*j - t = j. Find b such that 16/3*b + 10/3*b**2 + 8/3 + 2/3*b**j = 0.
-2, -1
Let b be 208/18*3/(-4). Let u = -8 - b. Factor 2/3*z**4 + 0 + 0*z - u*z**5 + 0*z**2 + 0*z**3.
-2*z**4*(z - 1)/3
Let l be (-1)/(5 + -3 - 4). Determine v, given that -1/2 + v - l*v**2 = 0.
1
Factor 2/9*l - 2/9*l**4 - 2/3*l**2 + 2/3*l**3 + 0.
-2*l*(l - 1)**3/9
Solve -2/3*u**3 + 0 + 0*u + 2/3*u**4 - 2/9*u**5 + 2/9*u**2 = 0.
0, 1
Let v(o) be the second derivative of 1/130*o**5 + 0 + 0*o**6 - 3*o - 1/273*o**7 + 0*o**2 + 0*o**4 + 0*o**3. Let v(a) = 0. Calculate a.
-1, 0, 1
Let l(y) be the third derivative of -1/20*y**5 - 1/8*y**4 + 0 + 0*y - 6*y**2 + 0*y**3. Factor l(t).
-3*t*(t + 1)
Let h(i) = -2*i**5 + 18*i**4 - 9*i**3 + 7*i**2 + 7*i + 7. Let x(q) = q**5 - 6*q**4 + 3*q**3 - 2*q**2 - 2*q - 2. Let f(t) = 2*h(t) + 7*x(t). Factor f(v).
3*v**3*(v - 1)**2
Let b(d) = -14*d**2 + 7*d - 4. Let z(q) = -13*q**2 + 8*q - 5. Let o(f) = -5*b(f) + 4*z(f). Let o(r) = 0. What is r?
0, 1/6
Let a = 528 + -523. Factor 0*t**4 - 1/2*t**3 + 1/2*t**a + 0*t + 0*t**2 + 0.
t**3*(t - 1)*(t + 1)/2
Let u = 43 - 39. Let b(l) be the third derivative of 0*l - 2/9*l**3 + 17/90*l**5 + 1/9*l**6 + 0 + 3*l**2 - 5/36*l**u. What is q in b(q) = 0?
-1, -1/4, 2/5
Let k be 4/6*(-5 - -8). Factor t - k*t**3 + 2 - 4 + t + 3 - t**4.
-(t - 1)*(t + 1)**3
Let z = -1 - -5. Let t be ((-6)/4)/((-3)/z). Factor -2*n**t + 0*n**3 + n**3 - 3*n**3.
-2*n**2*(n + 1)
Factor -16/7 + 2/7*k**2 - 2*k.
2*(k - 8)*(k + 1)/7
Suppose 22*c - 15 = 17*c. Let v(p) be the third derivative of 0 + 3/40*p**6 + 2/5*p**5 + 0*p + 7/8*p**4 + p**c - 4*p**2. Determine u, given that v(u) = 0.
-1, -2/3
Let y(o) be the second derivative of -o**6/75 - o**5/10 - 10*o. Solve y(g) = 0.
-5, 0
Let w(k) be the first derivative of 15*k**6/2 + 21*k**5 + 25*k*