 2)*(u - 1)*(u + 3)**2/5
Let m(g) = -g**2 + 8*g - 5. Let u be m(7). Let n be 5 + 3*4/(-6). What is y in y**5 - 4*y**n - u*y**4 + 2*y - 2 + y**5 + 3*y**2 + y**2 = 0?
-1, 1
Find b such that -5*b**2 + 2*b**2 + 8*b - 2*b**3 - b**4 - 6 + 2*b**4 + 2 = 0.
-2, 1, 2
Let z(f) be the first derivative of 1/2*f**2 - 2 - 1/6*f**3 + 0*f. Factor z(d).
-d*(d - 2)/2
Let m(k) = 2*k**5 - 3*k**4 - 7*k**3 + 3*k**2 + 2*k + 3. Let n(x) = -5*x**5 + 5*x**4 + 15*x**3 - 5*x**2 - 5*x - 5. Let g(t) = -5*m(t) - 3*n(t). Factor g(q).
5*q*(q - 1)**2*(q + 1)**2
Let d = 10 - 7. Find y such that y - 4*y**2 - 9*y - 2*y**d - 4*y**2 = 0.
-2, 0
Factor 9/2*f**2 - 27/4*f - 3/4*f**3 + 3.
-3*(f - 4)*(f - 1)**2/4
Let s(j) = -54*j**2 - 210*j - 249. Let w(f) = f**2 - f + 1. Let a(c) = s(c) + 6*w(c). Factor a(q).
-3*(4*q + 9)**2
Let f(b) be the first derivative of 98*b**5/45 - 77*b**4/18 + 64*b**3/27 - 4*b**2/9 - 22. Factor f(o).
2*o*(o - 1)*(7*o - 2)**2/9
Suppose 0 = t - 4. Suppose 0 = -t*q + o + 16, 4*q = 2*o + o + 8. Suppose 0*u + 1/3*u**3 + 1/3*u**q + 0*u**2 + 0 - 2/3*u**4 = 0. Calculate u.
0, 1
Suppose -3*f = -2*c + 50, -c = -5*f + 2*c - 82. Let j be (f/21)/((-2)/12). Find a such that -3*a**4 - 2*a + 11*a**4 - 2*a**2 - 6*a**j - 4*a**5 + 6*a**3 = 0.
-1, -1/2, 0, 1
Let y(m) = 2*m**3 + 6*m**2 + 4*m. Let b(w) = -6*w**3 - 19*w**2 - 13*w. Let o(a) = 2*b(a) + 7*y(a). Suppose o(c) = 0. What is c?
-1, 0
Suppose k - 2*k + 6 = 0. Suppose 3*n - n = k. Factor -3/5*j**2 - 1/5*j**n - 2/5*j + 0.
-j*(j + 1)*(j + 2)/5
Suppose -4*h + 274 = 14. Let -2*x**2 + 67 - h + 3*x - x**3 - 2*x**3 = 0. What is x?
-1, -2/3, 1
Let u(w) be the third derivative of -w**7/210 - 7*w**6/60 - 61*w**5/60 - 7*w**4/2 - 6*w**3 + 2*w**2 - 30. Solve u(m) = 0 for m.
-6, -1
Let c(l) = 4*l**2. Let o be c(-1). Factor 1/4*a**2 - 1/4*a**o + 0 + 0*a + 0*a**3.
-a**2*(a - 1)*(a + 1)/4
Suppose 10 = -b - 6*g + 2*g, -5*b = 4*g + 2. Factor b - 6 - 9*a - 3*a**3 - 9*a**2 + 1.
-3*(a + 1)**3
Let w(b) = -b**2 - b - 1. Let o be w(-3). Let j(p) = -p**2 - 6*p + 10. Let v be j(o). Suppose 2/5*g**4 + 6/5*g**2 + 0 + 6/5*g**v + 2/5*g = 0. Calculate g.
-1, 0
Let z(p) = -3*p**4 + 19*p**3 + 41*p**2 + 35*p + 16. Let o(u) = -8*u**4 + 56*u**3 + 122*u**2 + 106*u + 48. Let s(d) = -5*o(d) + 14*z(d). What is h in s(h) = 0?
-2, -1
Let s(b) be the first derivative of -b**5/55 - b**4/22 + b**2/11 + b/11 + 10. Factor s(c).
-(c - 1)*(c + 1)**3/11
Let j(y) be the first derivative of -y**2/2 - 4*y - 1. Let l be j(-8). Let 5 + 1 - 2 + s**2 + l*s = 0. What is s?
-2
Let s(l) = -5*l**2 - 7*l + 6. Let t(w) = -16*w**2 - 22*w + 18. Let o(m) = -20*s(m) + 6*t(m). Factor o(x).
4*(x - 1)*(x + 3)
Suppose -4*q = 3*f - 11, 2*f + 31 = 5*q - 0*f. Suppose q*v = 2*v + 6. Suppose -2*r**4 - 2*r**3 + v*r**2 + r + 2*r - r = 0. Calculate r.
-1, 0, 1
Let u(b) be the first derivative of 3 - 3/8*b**4 + 0*b + 1/4*b**2 + 1/3*b**3. Factor u(v).
-v*(v - 1)*(3*v + 1)/2
Suppose -2*c = 3*z - 42, -4*z + 3 = c - 18. Let x = 23 - c. Suppose 81/2*i**2 + 18*i + x = 0. What is i?
-2/9
Let d = 42 + -40. Factor 1/4*m**d - 1/2*m + 1/4.
(m - 1)**2/4
Let q(y) = 3*y**2 + 5*y - 1 + 0*y**3 - y**3 + 0*y**3. Let n be q(4). Factor 0*j + 1/2*j**2 + 0 + 1/2*j**n.
j**2*(j + 1)/2
Find f, given that -18/11*f**2 + 4/11 + 14/11*f = 0.
-2/9, 1
Let g(p) be the first derivative of -p**6/10 - 3*p**5/25 + 3*p**4/20 + p**3/5 - 16. Solve g(f) = 0 for f.
-1, 0, 1
Let p = 6/7 - 5/14. Let c(i) be the first derivative of -2 - 1/4*i**2 - 1/12*i**6 - 1/10*i**5 - p*i + 1/4*i**4 + 1/3*i**3. Factor c(w).
-(w - 1)**2*(w + 1)**3/2
Let r be (-24)/(-32) - (-3)/4. Factor -1/2*j + r*j**2 - 1.
(j - 1)*(3*j + 2)/2
Find w, given that 0 - 2/7*w**4 - 4/7*w + 2/7*w**2 + 4/7*w**3 = 0.
-1, 0, 1, 2
Let l(g) = g + 10. Let m be l(-7). Let f(v) = v**2 - v - 8. Let i be f(4). Find u, given that 3*u**4 - 2*u**i + u**3 + 0*u**m = 0.
-1, 0
Let h(s) be the second derivative of -7*s**7/20 - 133*s**6/180 - 2*s**5/3 - s**4/3 + s**3/6 - 3*s. Let a(g) be the second derivative of h(g). Solve a(i) = 0.
-1/3, -2/7
Let -2/15*c - 2/15*c**5 + 4/15 - 8/15*c**2 + 4/15*c**4 + 4/15*c**3 = 0. What is c?
-1, 1, 2
Suppose 5*i - 10 = -0. Let k(v) be the third derivative of 7/60*v**7 - 21/40*v**6 + 109/120*v**5 + 1/3*v**3 + 2*v**i - 3/4*v**4 + 0 + 0*v. Factor k(j).
(j - 1)**2*(7*j - 2)**2/2
Let x = 4 - 1. Suppose 5*t**x + 4*t**5 - 2*t**4 + 4*t**2 + 0*t**2 - 9*t**3 - 2*t**4 = 0. Calculate t.
-1, 0, 1
Let f be -2 + 5 - (-2)/2. What is r in -f*r + r + r**3 + 6*r - 3*r**2 - 1 + 0*r**3 = 0?
1
Suppose -v + i - 4*i + 6 = 0, 0 = -v - i + 6. Let x be (-1)/v + (-45)/(-54). Factor 2/3*d - x*d**2 + 0.
-2*d*(d - 1)/3
Factor 1944/5*m**4 - 1458/5*m**5 - 556/5*m**2 - 16/5 - 184/5*m + 54*m**3.
-2*(m - 1)**2*(9*m + 2)**3/5
Suppose -23*l - 36 = -35*l. Factor -2/7 + 2/7*j**2 - 2/7*j**l + 2/7*j.
-2*(j - 1)**2*(j + 1)/7
Let w(z) be the second derivative of z**5/15 - 2*z**4/9 - 10*z. Factor w(p).
4*p**2*(p - 2)/3
Let c = 682 + -677. Let 0*z + 8/9*z**4 - 2/9*z**c + 4/9*z**2 - 10/9*z**3 + 0 = 0. What is z?
0, 1, 2
Factor -p**3 + 10*p**4 - p**4 - 5*p**3.
3*p**3*(3*p - 2)
Let u(o) be the second derivative of -o + 1/3*o**2 + 1/15*o**5 + 0*o**4 + 0 - 1/45*o**6 - 2/9*o**3. What is r in u(r) = 0?
-1, 1
Suppose 3/5*u**3 - 3/5*u**2 + 0 + 0*u = 0. Calculate u.
0, 1
Let z(o) be the first derivative of -5*o**9/1512 + o**8/70 - 3*o**7/140 + o**6/90 + o**3 - 2. Let w(b) be the third derivative of z(b). Factor w(g).
-2*g**2*(g - 1)**2*(5*g - 2)
Suppose 0 = -0*v - 4*v + 20. Suppose -4*k + 16 = v*p - 7*k, 2*k = 5*p - 14. Factor -4 + 1 - 1 + 2*t + 2*t**p - 4*t.
2*(t - 2)*(t + 1)
Suppose 0 = -2*n - 4 + 10. Determine o so that -4*o - 3*o**2 - 6 + 10*o + n*o = 0.
1, 2
Let f(t) be the third derivative of -3*t**2 + 0*t + 1/30*t**6 + 0*t**3 + 1/6*t**4 + 0 + 2/15*t**5. Solve f(n) = 0 for n.
-1, 0
Let c be (-3)/(-2)*(-12)/(-9). Factor 1/2*w**4 + 1/2*w**3 - 1/2*w**c - 1/2*w + 0.
w*(w - 1)*(w + 1)**2/2
Let u(g) be the third derivative of -3*g**7/490 - g**6/40 - g**5/28 - g**4/56 - 14*g**2 + 2*g. Let u(b) = 0. Calculate b.
-1, -1/3, 0
Let q(t) = t**2 - 7*t + 8. Let x be q(5). Let k be 1*-1 - 2/x. Suppose o + k - 3/2*o**2 = 0. Calculate o.
0, 2/3
Let b(h) = h**2 + h + 1. Suppose 0 = 4*r + 5 - 45. Let l(k) = 2*k**2 + 2*k + 1. Let w(f) = r*b(f) - 6*l(f). Factor w(j).
-2*(j - 1)*(j + 2)
Let u be ((-2)/12)/(3/(-12)). Factor 4/3*d + 2/3 + u*d**2.
2*(d + 1)**2/3
Let n(a) be the second derivative of -a**7/420 - a**6/240 + a**5/120 + a**4/48 - a**2/2 + 2*a. Let l(d) be the first derivative of n(d). Factor l(b).
-b*(b - 1)*(b + 1)**2/2
Let u(v) be the second derivative of v**5/140 + v**4/42 - v**3/14 - 6*v. Find r such that u(r) = 0.
-3, 0, 1
Let t(m) = -m**3 - 12*m**2 + 13*m + 3. Let v be t(-13). Suppose -j = -v - 1. Let 38/5*u**3 - 82/5*u**2 + 48/5*u + 18/5*u**j - 14/5*u**5 - 8/5 = 0. What is u?
-2, 2/7, 1
Let x(t) be the second derivative of -3*t**6/35 - 9*t**5/70 + t**4/6 + 3*t**3/7 + 2*t**2/7 + 2*t. Let x(u) = 0. Calculate u.
-1, -2/3, -1/3, 1
Let p(s) = -s**3 - 2*s**2 + 2*s - 7. Let b(h) = 4*h**3 + 7*h**2 - 7*h + 22. Let a(t) = -2*b(t) - 7*p(t). Let u(k) be the first derivative of a(k). Factor u(c).
-3*c**2
Let q(x) be the first derivative of 2/5*x**2 + 0*x - 4/15*x**3 + 1/20*x**4 - 1. Factor q(v).
v*(v - 2)**2/5
Let g(z) be the first derivative of -2*z**5/55 - z**4/11 - 2*z**3/33 - 2. Factor g(j).
-2*j**2*(j + 1)**2/11
Let c(i) = -18*i**2 - 33*i - 42. Let p(y) = -3*y**2 + 2*y**2 + 1 + y**2 + y**2 + y. Let h(s) = c(s) + 15*p(s). Factor h(m).
-3*(m + 3)**2
Let f = -273/17 + 2729/153. Factor 10/9*m**2 - f*m - 8/9.
2*(m - 2)*(5*m + 2)/9
Let k = -341/20 - -69/4. Factor -3/5*w**2 - k + 1/5*w**3 + 3/5*w.
(w - 1)**3/5
Suppose 2 = -5*u + 12. Let b(q) be the second derivative of -q - 1/70*q**5 + 0*q**4 + 0*q**3 - 1/105*q**6 + 0*q**u + 0. Solve b(n) = 0 for n.
-1, 0
Let o(x) be the first derivative of -x**9/12096 - x**8/3360 + x**6/720 + x**5/480 + 2*x**3/3 - 1. Let p(n) be the third derivative of o(n). Factor p(u).
-u*(u - 1)*(u + 1)**3/4
Let i be -3*((-2)/5 - 12/45). Factor -2/5*j**4 + 0*j**3 + 2/5*j**i - 1/5*j + 0 + 1/5*j**5.
j*(j - 1)**3*(j + 1)/5
Let m = -1294 + 1296. Suppose 0*i - 1/2*i**m + 1/2 = 0. What is i?
-1, 1
Let q be 1/(6/4)*3. Let i be q + 1 + -3 + 0. Factor 2/3*r**3 + i - 2/3*r + 0*r**2.
2*r*(r - 1)*(r + 1)/3
Let t(c) be the secon