 1/3*u**3 + 1/18*u**6 + 1/12*u**4 - 8 - 1/5*u**5. Let p(s) = 0. What is s?
-1, 0, 1, 2
Find q such that 15*q**4 - 349*q**3 + 337*q**3 - 5*q**5 - q**5 + 3*q**2 = 0.
0, 1/2, 1
Let u(d) be the third derivative of -d**9/60480 + d**8/20160 - d**5/20 + 3*d**2. Let c(o) be the third derivative of u(o). Let c(s) = 0. What is s?
0, 1
Let t = -163919/120 - -1366. Let r(j) be the third derivative of 0*j + 1/90*j**5 - 1/9*j**3 + 0 - 1/24*j**4 - 2*j**2 + t*j**6. Factor r(v).
(v - 1)*(v + 1)*(3*v + 2)/3
Solve -2*t**3 + 114*t**2 - 221*t**2 + 109*t**2 = 0.
0, 1
Let r(u) be the second derivative of u + 0 + 1/2*u**3 + 1/4*u**4 + 0*u**2. Solve r(g) = 0.
-1, 0
Find g, given that -32*g**4 - 5 - 165*g**2 - 48*g**4 + 0 + 200*g**3 + 50*g = 0.
1/4, 1
Factor -51*h**2 - 4*h**4 - 59*h**2 - 32*h**3 - 128*h + 18*h**2 - 64 - 4*h**2.
-4*(h + 2)**4
Let r(z) be the third derivative of z**6/660 + z**5/66 + 7*z**4/132 + z**3/11 - 6*z**2. Find i such that r(i) = 0.
-3, -1
Let k = -2 + 5. Suppose 4*g + k*x - 20 = 0, 3*x - 3 - 7 = g. Determine u so that 0 - 1/3*u**3 + 1/3*u - 1/3*u**4 + 1/3*u**g = 0.
-1, 0, 1
Let n(x) = -5*x**4 - 19*x**3 - x**2 + 11*x + 6. Let k(t) = -36*t**4 - 132*t**3 - 6*t**2 + 78*t + 42. Let f(b) = -4*k(b) + 27*n(b). Find o, given that f(o) = 0.
-1, -2/3, 1
Let r(i) be the first derivative of -i**3 - 6*i + 3 - 9/2*i**2. Factor r(k).
-3*(k + 1)*(k + 2)
Let b(l) = l**4 + l**3 - l**2. Suppose 5*s + 36 = 3*s. Let o(k) = -2*k**4 - 7*k**3 + 2*k**2 - 2*k. Let d(c) = s*b(c) - 2*o(c). Factor d(q).
-2*q*(q - 1)*(q + 1)*(7*q + 2)
Let y(f) be the second derivative of -3*f - 4/21*f**3 + 0 - 4/35*f**5 + 0*f**2 - 2/105*f**6 - 5/21*f**4. Factor y(o).
-4*o*(o + 1)**2*(o + 2)/7
Let o(p) = -2*p**2 + p - 9. Let s(j) = -j**2 + j - 2. Let d(a) = o(a) - 3*s(a). Let d(i) = 0. What is i?
-1, 3
Let d(a) be the second derivative of 1/20*a**5 + 0 - 6*a - 7/24*a**3 - 5/48*a**4 + 1/4*a**2. Solve d(z) = 0.
-1, 1/4, 2
Suppose 0 = 2*g - w - 9 - 0, 3*g - 5*w - 24 = 0. Let d(m) be the third derivative of g*m**2 - 1/30*m**5 + 2/3*m**3 + 0 + 1/12*m**4 + 0*m. Factor d(y).
-2*(y - 2)*(y + 1)
Solve -6*k - 8*k**2 + 10*k**2 + 2*k**2 - 10*k = 0.
0, 4
Suppose 4 = 3*n + 4*i, -5*n - 3*i = -n - 3. Let x(t) be the second derivative of n*t**3 + 0*t**2 + 1/36*t**4 + 0 + 2*t. Solve x(v) = 0 for v.
0
Let o be 3/(-6)*6/(-18). Let r(c) be the second derivative of c + 0 - c**2 - o*c**4 + 2/3*c**3. Determine b, given that r(b) = 0.
1
Let q(t) be the third derivative of -t**6/600 - 2*t**5/75 - 13*t**4/120 - t**3/5 - 34*t**2. Factor q(r).
-(r + 1)**2*(r + 6)/5
Let z(y) = -18*y - 216. Let l be z(-12). Let -4/3*s**3 + 0 + 0*s**2 + l*s - 2/3*s**4 = 0. Calculate s.
-2, 0
Let r(s) = 13*s**2 + 15*s - 4. Let f(t) = -12*t**2 - 16*t + 4. Let d(a) = 6*f(a) + 4*r(a). Solve d(z) = 0 for z.
-2, 1/5
Let c be 132/77*14/4. Let u(k) be the third derivative of 0*k**3 + 1/90*k**5 - 1/315*k**7 + 1/72*k**4 - 1/1008*k**8 - 3*k**2 + 0*k**c + 0*k + 0. Factor u(r).
-r*(r - 1)*(r + 1)**3/3
Factor q + 3/4*q**4 - q**2 + 0 - 5/4*q**3.
q*(q - 2)*(q + 1)*(3*q - 2)/4
Let p(t) = -t**2 - 3*t + 30. Let s be p(-7). Factor 3/2*f**s + 3/2*f**3 - 3/2*f - 3/2.
3*(f - 1)*(f + 1)**2/2
Let s(c) be the second derivative of 0 - 1/144*c**4 + 2*c + 3/2*c**2 - 1/360*c**5 + 1/18*c**3. Let p(z) be the first derivative of s(z). Factor p(k).
-(k - 1)*(k + 2)/6
Factor 11/2*u - 7/2*u**2 - 2.
-(u - 1)*(7*u - 4)/2
Let y(b) be the third derivative of -b**8/840 + 8*b**7/525 - b**6/12 + 19*b**5/75 - 7*b**4/15 + 8*b**3/15 - 3*b**2. Solve y(n) = 0 for n.
1, 2
Let r(k) be the second derivative of -k**6/40 - k**5/5 - 5*k**4/8 - k**3 + 2*k**2 - k. Let n(f) be the first derivative of r(f). Factor n(u).
-3*(u + 1)**2*(u + 2)
Factor -4 - 4/3*r**2 + 16/3*r.
-4*(r - 3)*(r - 1)/3
Let n be 79/5 - (-3)/15. Suppose -2*h - 8 = 0, 2*f - n = -0*f + 2*h. Let 2/7*w - 2/7*w**5 - 4/7*w**f + 4/7*w**2 + 0 + 0*w**3 = 0. Calculate w.
-1, 0, 1
Suppose 4*n = -26 - 34. Let g be 6/n*15*-2. Let t - g*t**2 - 9*t**2 + 2 - 2*t = 0. Calculate t.
-1/3, 2/7
Let r = 1609/3 + -536. Determine c, given that c - 1/3*c**2 - c**3 + r = 0.
-1, -1/3, 1
Let o(b) = b**5 - 5*b**3 + 3*b**2 + b + 3. Let y = -81 + 82. Suppose -2*q - 3 = -q. Let f(a) = -a**3 + a**2 + 1. Let p(u) = q*f(u) + y*o(u). Factor p(n).
n*(n - 1)**2*(n + 1)**2
Let f(j) be the third derivative of -j**6/80 + j**5/10 - 5*j**4/16 + j**3/2 + 3*j**2. Factor f(u).
-3*(u - 2)*(u - 1)**2/2
Let c(w) be the second derivative of 0*w**3 + 1/98*w**7 - 1/28*w**4 - w + 0*w**2 + 1/70*w**6 + 0 - 3/140*w**5. Factor c(x).
3*x**2*(x - 1)*(x + 1)**2/7
Factor 2/11*v**3 + 14/11*v**2 + 12/11*v + 0.
2*v*(v + 1)*(v + 6)/11
Let w = 58/9 + -46/9. Factor 0*m - 2/3*m**5 - 2/3*m**3 + w*m**4 + 0*m**2 + 0.
-2*m**3*(m - 1)**2/3
Let d = 251/3 + -83. Factor 8/3 + 8*f + d*f**4 + 26/3*f**2 + 4*f**3.
2*(f + 1)**2*(f + 2)**2/3
Solve -47 - 3*m**2 - 40*m - 2*m**2 - 33 = 0.
-4
Let i(g) be the second derivative of -g**8/112 + g**7/35 - g**6/40 + 2*g**2 - g. Let a(t) be the first derivative of i(t). Factor a(c).
-3*c**3*(c - 1)**2
Suppose 3*q - 5/2 - 1/2*q**2 = 0. What is q?
1, 5
Let y(k) be the third derivative of 5*k**8/112 - 11*k**7/42 + k**6/2 - k**5/3 - 11*k**2. Let y(p) = 0. What is p?
0, 2/3, 1, 2
Suppose f - 2*f = -2. Let t(i) = 2*i**2 - 4*i + 2. Let m be t(f). Factor -2/5*u**4 + 0*u + 0 + 2/5*u**m + 0*u**3.
-2*u**2*(u - 1)*(u + 1)/5
Let t(v) be the third derivative of -v**5/60 - v**4/8 - v**3/3 + 2*v**2. Factor t(z).
-(z + 1)*(z + 2)
Let k(h) be the first derivative of h**6/33 + 4*h**5/55 + h**4/22 + 2. What is d in k(d) = 0?
-1, 0
Let p(x) be the second derivative of -x**5/5 + 2*x**4/3 - 2*x**3/3 - 7*x. Suppose p(y) = 0. Calculate y.
0, 1
Let k(w) = -w**2 + 7*w - 4. Let f be k(6). Suppose -3*m + 15 = 3*c - c, -m - 2*c + 9 = 0. Solve f*a**3 - 5*a**3 + m*a - a + a**2 = 0 for a.
-2/3, 0, 1
Let k = 9 + -2. Suppose 3*n + 3 = 4*m - 4, m + n = k. Let 3*t**m - 3*t**4 - 2*t**3 - t**5 + t**4 - 4*t**4 = 0. What is t?
-2, -1, 0
Suppose -9 = w + 3*x, 0 = -w - 5*x + 6 - 21. Determine h, given that 1 - 2 + w + 5 - 4*h + h**2 = 0.
2
Suppose 2*k + 4 - 16 = 0. Suppose 4*i = i + k. Factor 1/2*o**i - 1/2 + 0*o.
(o - 1)*(o + 1)/2
Suppose 4*i - 2*i - 6 = 0. Suppose i + 2*t**2 - 3*t**2 - 3 - 2*t = 0. Calculate t.
-2, 0
Let s = 27 - 80/3. Factor 0*h + 0 - s*h**2 + 1/3*h**3.
h**2*(h - 1)/3
Let a(h) = h**2 + 11*h + 30. Let j be a(-5). Factor -1/4*p**4 + j + 1/2*p**3 - 1/2*p + 1/4*p**2.
-p*(p - 2)*(p - 1)*(p + 1)/4
Let v = -291/4 + 74. What is z in 3*z + v*z**2 + 1 = 0?
-2, -2/5
Let o be (7/(-42))/((-4)/80). Determine j so that o*j**2 + 0 + 4/3*j = 0.
-2/5, 0
Let w(d) be the third derivative of 0 + 1/20*d**5 + 0*d**3 + 0*d + 1/8*d**4 - 6*d**2. Factor w(t).
3*t*(t + 1)
Let a(s) = s**3 + 4*s**2 - 3*s - 12. Let r be a(-4). Determine p so that -1/2*p**2 + p**3 - 1/2*p**4 + 0 + r*p = 0.
0, 1
Let p = 12 + -7. Let a be 3/(((-30)/(-4))/p). Factor 1 - 3*x**a - x**3 - 3*x**2 + x + 5*x**2.
-(x - 1)*(x + 1)**2
Let r(z) be the third derivative of z**11/2494800 - z**9/453600 + z**5/60 + 4*z**2. Let m(a) be the third derivative of r(a). Solve m(n) = 0.
-1, 0, 1
What is c in -6*c**2 - c**3 + 7*c + 6*c - 18*c + 0*c**2 = 0?
-5, -1, 0
Factor -9*h - 7*h + 10*h**2 - 8*h**3 + 8 + 6*h**3.
-2*(h - 2)**2*(h - 1)
Let r(y) = 4*y**5 - 30*y**4 + 14*y**3 + 6*y**2 - 6. Let a(g) = -3*g**5 + 31*g**4 - 15*g**3 - 7*g**2 + 7. Let c(q) = 6*a(q) + 7*r(q). Solve c(d) = 0.
0, 2/5, 2
Factor 37 - 12*g**2 + 16*g**2 + 24*g - 1.
4*(g + 3)**2
Let u(l) be the first derivative of -l**6/780 - 11*l**5/780 - l**4/26 + 5*l**3/3 + 5. Let g(p) be the third derivative of u(p). Factor g(q).
-2*(q + 3)*(3*q + 2)/13
Factor 0 + 1/5*w**2 - 1/5*w.
w*(w - 1)/5
Let o(n) be the second derivative of n**7/140 - n**5/20 + n**3/4 + n**2/2 - 9*n. Let l(a) be the first derivative of o(a). Determine g, given that l(g) = 0.
-1, 1
Let o(x) be the second derivative of -x**5/40 + 5*x**4/96 + 7*x**3/48 - x**2/8 - 13*x. Factor o(c).
-(c - 2)*(c + 1)*(4*c - 1)/8
Let k(o) be the first derivative of 1/30*o**5 + 0*o**3 + 0*o + o**2 + 1/120*o**6 + 2 + 1/24*o**4. Let j(u) be the second derivative of k(u). Solve j(f) = 0.
-1, 0
Let x be 18*3/(9 + 0). Let b = x + -2. Factor r**2 - 1 + 2*r + 2 - b*r**2.
-(r - 1)*(3*r + 1)
Let l(w) be the third derivative of w**5/120 - w**4/24 + w**3/12 - 15*w**