*j**4 + 0*j**2 = 0.
-1, 0, 1
Factor 2/7 + 2/7*z**2 + 4/7*z.
2*(z + 1)**2/7
Suppose 0 = 3*s - 0 - 12. Let h(x) be the third derivative of 0*x + 1/24*x**s + 4*x**2 - 1/120*x**6 - 1/3*x**3 + 0 + 1/30*x**5. Factor h(q).
-(q - 2)*(q - 1)*(q + 1)
Let o(i) = -i**5 + i**4 + i + 3*i**4 - i**3 - 3*i**4. Let m(r) = -8*r**5 + 4*r**4 - 10*r**3 - r**2 + 7*r. Let g(d) = 2*m(d) - 14*o(d). What is v in g(v) = 0?
-1, 0
Let t = 36 + -36. Let u(n) be the third derivative of 0*n**7 + 0*n**3 + 0*n**5 + 1/672*n**8 + 1/48*n**4 - 1/120*n**6 + 2*n**2 + 0 + t*n. Factor u(z).
z*(z - 1)**2*(z + 1)**2/2
Let y(a) be the second derivative of -49*a**4/30 - 14*a**3/15 - a**2/5 + 13*a. Factor y(j).
-2*(7*j + 1)**2/5
Let n(z) be the second derivative of 13*z**5/50 - z**4/15 + 11*z. Factor n(o).
2*o**2*(13*o - 2)/5
Let x(s) be the second derivative of s**10/90720 + s**9/22680 - s**7/3780 - s**6/2160 + s**4/4 - 2*s. Let f(d) be the third derivative of x(d). Factor f(m).
m*(m - 1)*(m + 1)**3/3
Let f be (-1)/(4/(-1 + 0)). Let j be (7 - (-155)/(-20))*-1. Find m, given that -j*m**2 - f*m**3 + 0 - 1/2*m = 0.
-2, -1, 0
Let c(k) be the first derivative of -k**3 + 3*k**2/2 + 6*k + 8. Factor c(f).
-3*(f - 2)*(f + 1)
Let o be 0*(15/(-5) + 2). Let s(b) be the first derivative of 2 - 1/18*b**4 - 2/9*b**2 + 2/9*b**3 + o*b. Let s(h) = 0. Calculate h.
0, 1, 2
Let n = 3505/24 - 146. Let i(r) be the second derivative of -r - n*r**4 + 0*r**3 + 0 + 0*r**2. Find m, given that i(m) = 0.
0
Let a(c) be the first derivative of c**8/1512 + c**7/189 + 2*c**6/135 + 2*c**5/135 + 3*c**2/2 + 1. Let s(u) be the second derivative of a(u). Factor s(d).
2*d**2*(d + 1)*(d + 2)**2/9
Factor 0*o**2 + 0*o + 2*o**2 - 6*o + 8*o.
2*o*(o + 1)
Let x(n) be the third derivative of 0*n**5 + 1/40*n**6 + 3*n**2 + 0*n**3 - 1/8*n**4 + 0*n + 0. Determine i, given that x(i) = 0.
-1, 0, 1
Let n be ((-4)/(-2) - 2)/1. Find c, given that -c**3 + n*c + 2*c**2 + c - 4 + 2 = 0.
-1, 1, 2
Factor 8*q + 4 + 7*q**2 - 2*q**2 + 58*q**3 - 57*q**3.
(q + 1)*(q + 2)**2
Let q(p) be the first derivative of -1/4*p**4 + 0*p**2 + 1/3*p**3 + 1/6*p**6 + 0*p - 1/5*p**5 - 2. Let q(m) = 0. What is m?
-1, 0, 1
Let h be ((-15)/(-20) - 0) + 2/(-8). Let 3/4*z**4 + 0 - 1/2*z**3 - 3/4*z**2 + h*z = 0. Calculate z.
-1, 0, 2/3, 1
Let r be ((-1)/7)/(-5*(-8)/(-140)). Suppose -r*k - 1/3 - 1/6*k**2 = 0. Calculate k.
-2, -1
Let n be (-1 + -5)/(-1 + -1). Determine c so that -8*c**n + 3*c**4 - 2*c**4 + 2*c**3 + 3*c**3 + 2*c**2 = 0.
0, 1, 2
Suppose -3*i + 12 = 0, 0 = 4*v + 3*i + 2*i - 20. Let n be 3 + (-9)/(v + 3). Solve -2/3*j**2 + 2/3*j + n = 0.
0, 1
Let d = -1/84 - -25/84. Factor 2/7 + 0*s - d*s**2.
-2*(s - 1)*(s + 1)/7
Suppose 41 = 2*j + t, t + 0*t + 79 = 4*j. Suppose 0*d - 4*d = -j. Factor 2*v**2 - 3*v**2 - v**3 - v**d - 2*v**3 - 3*v**4.
-v**2*(v + 1)**3
Suppose -4*q = -4*j + 4, 3*q - 3 = -q - 3*j. Let m be ((-1)/(-4)*q)/1. Factor 0*l + 1/3*l**3 + 0 + m*l**2.
l**3/3
Let s(z) be the third derivative of -z**5/150 + z**4/30 + z**3/5 - 19*z**2. Factor s(q).
-2*(q - 3)*(q + 1)/5
Let k(i) = 6 - 4 + 8*i - i**2 + 0*i**2. Let g be k(8). Let -12*r - 11*r**g - 14 + 10 + 2*r**2 = 0. Calculate r.
-2/3
Let l(y) = -8*y**3 + 9*y**2 - 9. Let j(g) = 4*g**3 - 4*g**2 + 4. Let c(d) = -d - 20. Let u be c(-11). Let o(n) = u*j(n) - 4*l(n). Factor o(v).
-4*v**3
Let b = -446 - -3123/7. Factor b*i**2 - 1/7*i - 2/7.
(i - 2)*(i + 1)/7
Let f(y) = y**3 - 25*y**2 - 55*y + 31. Let t be f(27). Factor 7/4*c**t + 1/2 + 27/4*c**2 - 23/4*c**3 - 13/4*c.
(c - 1)**3*(7*c - 2)/4
Let w(n) be the second derivative of -5*n**7/28 - 17*n**6/20 - 6*n**5/5 - n**4/2 - 10*n + 1. Suppose w(q) = 0. Calculate q.
-2, -1, -2/5, 0
Let s(m) be the second derivative of -1/45*m**5 - m - 1/12*m**4 + m**2 - 1/9*m**3 + 0. Let u(c) be the first derivative of s(c). What is t in u(t) = 0?
-1, -1/2
Factor 2/7 + 0*l - 2/7*l**2.
-2*(l - 1)*(l + 1)/7
Let a(k) = 0*k**3 + k - 15*k**5 + 16*k**5 + 10*k**3. Let f(d) = 3*d**5 + 21*d**3 + 3*d. Let o(j) = -9*a(j) + 4*f(j). Suppose o(i) = 0. What is i?
-1, 0, 1
Let c = -1 - -4. Suppose 2*o = c*o - 2. Factor 1/2*d + 0 + 5/4*d**o.
d*(5*d + 2)/4
Suppose -5*y + y - 180 = -5*t, -3*t + 108 = 3*y. Let n be 4/22 - t/(-165). Factor -n*u**3 + 2/5 - 2/5*u**2 + 2/5*u.
-2*(u - 1)*(u + 1)**2/5
Let z = 253/4 - 63. Solve 1 + y + z*y**2 = 0 for y.
-2
Let n(a) = -a**2 - a + 2. Let q be n(1). Let w(h) be the second derivative of q - 7/18*h**4 + 2/9*h**3 + 0*h**2 + 2*h + 1/6*h**5. Factor w(c).
2*c*(c - 1)*(5*c - 2)/3
Let k(d) be the second derivative of -d**8/168 + d**2/2 - 2*d. Let r(n) be the first derivative of k(n). What is o in r(o) = 0?
0
Let x(l) be the first derivative of -l**6/45 + 2*l**5/75 + l**4/30 - 2*l**3/45 - 27. Factor x(y).
-2*y**2*(y - 1)**2*(y + 1)/15
Let s(n) be the second derivative of n**5/5 + n**4/3 - n**3/6 - n**2/2 - 4*n. Factor s(r).
(r + 1)*(2*r - 1)*(2*r + 1)
Let u(t) be the third derivative of -t**9/3024 + t**8/1680 + 2*t**3/3 + 4*t**2. Let z(r) be the first derivative of u(r). Factor z(d).
-d**4*(d - 1)
Let k(b) be the third derivative of -b**8/10080 + b**7/1260 - b**6/540 - b**4/4 - b**2. Let v(t) be the second derivative of k(t). Let v(w) = 0. What is w?
0, 1, 2
Let c(r) = r**3 + 6*r**2 + r + 6. Let m be c(-6). Factor 0*y + 0*y**3 - 1/5*y**2 + 1/5*y**4 + m.
y**2*(y - 1)*(y + 1)/5
Let d(m) be the third derivative of -m**5/20 - 7*m**4/12 - 4*m**3/3 + 14*m**2. Solve d(v) = 0.
-4, -2/3
Let s be (1 - 2)/((-1)/1). Let f be (3/2 - s)*11. Factor 9/2*y**4 - 5/4*y**5 + 3/4*y + 2*y**2 - 1/2 - f*y**3.
-(y - 1)**4*(5*y + 2)/4
Determine p so that -96/5*p + 27*p**4 + 339/5*p**3 - 12/5 - 123/5*p**2 - 243/5*p**5 = 0.
-1, -2/9, 1
Let h(o) = -4*o**2 + o - 1. Let w be h(1). Let x(n) = -n**3 - 5*n**2 - 4*n + 2. Let t be x(w). Suppose -2*g**2 + 3*g**2 - 3*g**2 + t*g = 0. Calculate g.
0, 1
Let j = 1142 - 1139. Factor 0*m + 0 + 0*m**2 - 2/9*m**j.
-2*m**3/9
Suppose -5*o + 0*t - t + 14 = 0, o = -3*t. Factor 3*y**4 - o*y**2 - 2*y**3 + 2*y**3 + 0*y**3.
3*y**2*(y - 1)*(y + 1)
Let h(d) be the first derivative of -d**7/189 - d**6/180 + d**5/135 - d**2 + 3. Let f(k) be the second derivative of h(k). Determine v so that f(v) = 0.
-1, 0, 2/5
Let s(w) = w**2 - 2*w - 3. Let r be s(4). Factor -r - 1 + 0 + 9*f**3 + 3*f**2 - 9*f + 3*f**4.
3*(f - 1)*(f + 1)**2*(f + 2)
Let y(t) be the first derivative of -1/3*t**3 + 0*t - 1 + t**2. Factor y(l).
-l*(l - 2)
Let q(r) be the first derivative of 4*r**3 + 8*r**2 + 4*r - 14. Factor q(b).
4*(b + 1)*(3*b + 1)
Let b(g) = g**2 + 44*g + 261. Let w be b(-37). Find h such that -4/3 - 1/3*h**4 + h**w + 2/3*h**3 - 4/3*h = 0.
-1, 2
Find k, given that -2/5*k**4 + 4/5 + 6/5*k - 6/5*k**3 - 2/5*k**2 = 0.
-2, -1, 1
Let 0*j + 3/8*j**5 - 3/8*j**3 - 3/8*j**2 + 3/8*j**4 + 0 = 0. What is j?
-1, 0, 1
Let v(g) be the second derivative of -g**9/6048 + g**7/560 - g**6/360 - 2*g**3/3 + g. Let y(t) be the second derivative of v(t). Solve y(z) = 0.
-2, 0, 1
Let n(f) be the first derivative of -2*f**3/39 + 2*f/13 - 15. Suppose n(b) = 0. Calculate b.
-1, 1
Solve 2*c**3 + c**3 - 4*c + c = 0 for c.
-1, 0, 1
Suppose -m = m - 4. Factor -2 + m*i**2 + i - i.
2*(i - 1)*(i + 1)
Factor 0 - 1/4*t**3 - 5/4*t**2 + 0*t.
-t**2*(t + 5)/4
Let h be 3 - (0 + 1/(-1)). Let z be (h + -1)/3 + 1. Factor 1 - 3*k**2 + 0 + z*k**2.
-(k - 1)*(k + 1)
Let q(l) be the first derivative of -1/3*l**4 + 0*l - 3 + 0*l**3 + 0*l**2 - 1/9*l**6 - 2/5*l**5. Factor q(i).
-2*i**3*(i + 1)*(i + 2)/3
Let v(d) be the third derivative of -d**7/1155 + d**6/660 + d**5/330 - d**4/132 + 3*d**2. Suppose v(m) = 0. What is m?
-1, 0, 1
Let 3*n**2 - 10*n**2 + 6*n + 9*n**2 = 0. Calculate n.
-3, 0
Factor 2/19*p**2 - 12/19 - 10/19*p.
2*(p - 6)*(p + 1)/19
Let x(y) be the third derivative of -y**5/150 + y**4/60 + y**2. Factor x(c).
-2*c*(c - 1)/5
Determine o, given that -2*o**4 - 2*o**5 - 24 + 2*o + 4*o**5 + 4*o**2 - 4*o**3 + 22 = 0.
-1, 1
Let o(a) = 3*a**2 - 39*a - 228. Let z be o(-5). Factor -24/5 - 147/5*d**3 + 156/5*d - z*d**2.
-3*(d + 2)*(7*d - 2)**2/5
Let f(a) = -2*a**2 + 2*a - 3. Let y(b) = -b**2 + b - 2. Let n(d) = -3*f(d) + 5*y(d). Let r(p) = 3*p**2 + 7*p + 7. Let s(u) = -n(u) + r(u). Factor s(w).
2*(w + 2)**2
Let u(l) be the third derivative of -l**6/120 - l**5/20 - l**4/12 + l**2. Find d such that u(d) = 0.
-2, -1, 0
Let y be (-1)/(-2) + 2/(-8). Determine o 