t m be (1/a)/(6 + (-9 - -4)). Let 1/5*l**2 + 0*l - m = 0. Calculate l.
-1, 1
Let x = 340 - 226. Let p = x + -110. What is y in -10/3*y**2 + 4*y - 2/3*y**p + 0 - 32/9*y**3 = 0?
-3, 0, 2/3
Let y(n) be the first derivative of 36*n**2 + 30*n**3 + 5 + 15*n + 6*n**4 - 9/5*n**5. Determine i so that y(i) = 0.
-1, -1/3, 5
Suppose 0 = 7*u - 2*u - 30. Suppose -u*d + 9 = -9. Factor 0 - 4/3*g**2 + 2/3*g + 2/3*g**d.
2*g*(g - 1)**2/3
Determine w, given that 0 + 74*w**3 - 74/9*w - 2*w**4 + 2/9*w**2 = 0.
-1/3, 0, 1/3, 37
Let o(c) be the third derivative of -c**7/5040 - c**6/540 - c**5/240 + 5*c**3/6 + 3*c**2. Let b(p) be the first derivative of o(p). Factor b(t).
-t*(t + 1)*(t + 3)/6
Let h = -280 + 282. Let a(r) be the first derivative of 2 + 8/15*r**3 + 1/5*r**h + 0*r. Factor a(x).
2*x*(4*x + 1)/5
Let a(k) be the first derivative of -4/7*k**2 - 20/21*k**3 - 3/7*k**4 + 2/21*k**6 + 4/35*k**5 - 5 + 0*k. Let a(b) = 0. What is b?
-1, 0, 2
Let a(s) = 3*s**4 - 3*s**2 - 12*s. Let h(i) = i**4 - i**2 - 5*i. Suppose 4*z - 8 = 8. Let t be z/(-10) - (-558)/45. Let f(d) = t*h(d) - 5*a(d). Factor f(o).
-3*o**2*(o - 1)*(o + 1)
Let s(u) be the second derivative of u**6/330 - 21*u**5/220 - 2*u**4/11 + 2*u**3/3 + 4*u. Factor s(z).
z*(z - 22)*(z - 1)*(z + 2)/11
Suppose -37*t - 8 = -39*t. Factor -10/7*n**3 + 0 + 6/7*n**2 + 2/7*n**t + 18/7*n.
2*n*(n - 3)**2*(n + 1)/7
Let y(b) be the first derivative of b**2 - b**4 - 4/5*b**5 + 8/3*b**3 - 4*b + 1/3*b**6 + 5. Let y(u) = 0. What is u?
-1, 1, 2
Let n(w) be the second derivative of -10*w + 1/45*w**6 + 0*w**3 + 0*w**2 + 0*w**4 - 1/45*w**5 + 0. Factor n(t).
2*t**3*(3*t - 2)/9
Let q(h) be the second derivative of -2*h**7/21 - 2*h**6/5 - h**5/5 + h**4 + 4*h**3/3 - 2*h + 19. Suppose q(t) = 0. Calculate t.
-2, -1, 0, 1
Suppose 0*s - 5/3*s**2 - 2/3*s**5 + 0 - 13/3*s**4 - 16/3*s**3 = 0. Calculate s.
-5, -1, -1/2, 0
Suppose k = 25 - 19. Suppose 4*m = k*m - 10. Suppose -14*u**4 - 5 - 36*u**2 + 36*u**3 - 8*u**2 - 3*u**m + 26*u + 5*u**5 - 1 = 0. Calculate u.
1, 3
Let l(b) be the first derivative of -b**6/1080 + b**5/120 + b**4/18 + 13*b**3/3 - 20. Let o(y) be the third derivative of l(y). Factor o(j).
-(j - 4)*(j + 1)/3
Let w(t) = 5*t**2 + 784*t - 784. Let a(m) = m**2 + 4. Let u(n) = -a(n) + w(n). Factor u(i).
4*(i - 1)*(i + 197)
Suppose -4*a + 9 = v, 3*a = -3*v + v + 3. Factor -113*x**2 - 3 + 110*x**2 + 3*x**a + 3.
3*x**2*(x - 1)
Let z be (-180)/(-50) + (0 - 6/10). What is u in 36*u**2 + 12 + 61*u + 2 + 1 - z*u**4 - 19*u + 6*u**3 = 0?
-1, 5
Let u be (-38)/190 + 112/(-810). Let z = -2/405 - u. What is b in 2/3 - b + z*b**2 = 0?
1, 2
Factor 1/8*w**2 - 23/8*w - 39/4.
(w - 26)*(w + 3)/8
Factor -356*v**3 + 355*v**3 - 5*v**5 + 6*v**5.
v**3*(v - 1)*(v + 1)
Factor -4*b - 184*b**2 + 97*b**2 + 95*b**2 - 4*b**3.
-4*b*(b - 1)**2
Factor -2/5*y**4 - 16/5*y + 0 - 4/5*y**2 + 2*y**3.
-2*y*(y - 4)*(y - 2)*(y + 1)/5
Let s = -23713 - -23716. Factor 2/5*p**s + 0*p - 4/5*p**2 + 0 + 2/5*p**4.
2*p**2*(p - 1)*(p + 2)/5
Suppose 2*n - 3 = -1, -16 = -5*z - n. Suppose -2*c + 32 = z*p - c, 2*c + 68 = 5*p. Factor -54*f**2 - 37 - 29 - f**4 - 12 - 3 + 108*f + p*f**3.
-(f - 3)**4
Let z(b) be the third derivative of 3*b**6/280 + 239*b**5/140 + 590*b**4/7 - 800*b**3/7 + 240*b**2. Factor z(r).
3*(r + 40)**2*(3*r - 1)/7
Let p(j) be the third derivative of 0 + 1/20*j**5 + 0*j**3 - 1/8*j**4 - 4*j**2 + 0*j. What is v in p(v) = 0?
0, 1
Let 3/8*c**2 - 237/8*c + 117/4 = 0. What is c?
1, 78
Let y = 83 - 79. Let l(v) be the third derivative of y*v**2 + 0*v**3 + 0*v + 0 + 1/5*v**5 - 1/2*v**4 - 1/40*v**6. Determine u so that l(u) = 0.
0, 2
Let m(n) = 3*n**2 - 25*n - 15. Let g be m(9). Determine c so that 36*c**g - 11*c**2 - 58*c**2 - 32*c - 8*c**3 - 35*c**2 = 0.
-2/7, 0, 4
Let r(k) be the first derivative of -k**7/126 + 2*k**6/45 - k**5/60 - k**4/6 - 11*k - 1. Let j(v) be the first derivative of r(v). Find l, given that j(l) = 0.
-1, 0, 2, 3
Let f be 7 + (-6)/(-3) + -6. Determine g, given that -25 + 4*g - f*g**2 - 34*g - 50 = 0.
-5
Let d = -20 - -17. Let b be ((-44)/12 - d)*(-9)/4. Determine i, given that -3/2*i**2 - 1/2*i**3 - b*i - 1/2 = 0.
-1
Let g = -5014 - -35100/7. Let -2/7*c**4 + 0*c**2 + 0*c + 0*c**3 + 0 - g*c**5 = 0. Calculate c.
-1, 0
Suppose 11 = 6*k - 1. Let n be k/4*(-3 - -4). Find g, given that -n - 3/4*g + 1/4*g**4 + 3/4*g**3 + 1/4*g**2 = 0.
-2, -1, 1
Let k(y) be the third derivative of -2/3*y**3 + 0*y + 1/42*y**4 + 1/60*y**5 + 1/252*y**6 + 0 + 2*y**2. Let v(f) be the first derivative of k(f). Factor v(a).
2*(a + 1)*(5*a + 2)/7
Let n(i) be the second derivative of 2*i**7/105 + i**6/20 - i**5/15 + 11*i**2/2 - 10*i. Let f(b) be the first derivative of n(b). Factor f(h).
2*h**2*(h + 2)*(2*h - 1)
Suppose 0 = -28*b + 27*b + 8. Suppose -4*x = -b*x + 8. Determine i, given that -7 + 36*i**3 + 44*i**x - 13 + 4 + 24*i**3 - 32*i = 0.
-1, -2/5, 2/3
Let r(s) be the second derivative of -1/30*s**6 + 1/4*s**4 + 0*s**5 + 2*s + 0*s**2 + 0 + 1/3*s**3. Factor r(o).
-o*(o - 2)*(o + 1)**2
Let g(h) = -h**2 + 3*h. Let z(m) = 3*m**2 - 7*m. Let r be (-3)/(-12) + (-39)/(-4). Suppose -5*n - 25 = -r*n. Let t(a) = n*g(a) + 2*z(a). Solve t(l) = 0.
-1, 0
Suppose -4*n = n - 5*c, -5*c = 0. Let d(s) be the first derivative of 0*s + 1/3*s**4 - 3 + n*s**2 + 1/9*s**3. Factor d(o).
o**2*(4*o + 1)/3
Factor 0*x + 3/5*x**2 + 0.
3*x**2/5
Let t = -72 + 76. Factor 7*x**3 + 4*x**5 + x**5 - 5 - t*x - 17*x**3 - 5*x**4 + 10*x**2 + 9*x.
5*(x - 1)**3*(x + 1)**2
Let z(b) be the second derivative of b**9/1680 + b**8/1120 - b**7/120 + b**6/120 - 7*b**4/12 + 4*b. Let x(k) be the third derivative of z(k). Factor x(y).
3*y*(y - 1)*(y + 2)*(3*y - 1)
Let q(w) be the first derivative of -5*w**3/9 - 25*w**2/3 - 15*w - 512. Suppose q(k) = 0. Calculate k.
-9, -1
Suppose 2*t - 4 = 0, -5*m + m = -4*t + 168. Let d be (m/(-45))/(-4) + 46/45. Suppose 3/5 - 1/5*i**2 - d*i + 2/5*i**3 = 0. What is i?
-3/2, 1
Factor -27*j**2 + 37*j + 12*j**3 + 5*j - 9*j**3.
3*j*(j - 7)*(j - 2)
Factor 108*z - 107*z + z**2 - 3*z**2.
-z*(2*z - 1)
Suppose 2*y + 18 = 3*w, -19 = -2*w + 4*y + 1. Let -2/3*g**2 + 1/3*g**3 + 0*g + 1/3*g**w + 0 = 0. Calculate g.
-2, 0, 1
Let f(j) = 30*j**2 + 40*j - 15. Let i = 13 + -38. Let m(h) = h**2 + h - 1. Let z(r) = i*m(r) + f(r). Solve z(s) = 0 for s.
-2, -1
Let u be 2/4 + 27/(-6). Let p = u + 6. Factor r - 5*r - 39*r**p + 37*r**2.
-2*r*(r + 2)
Let l = 135/92 + -28/23. Let x(c) = -c**3 + 3*c + 1. Let z be x(-2). Factor 3/2*o**2 + z*o + l*o**3 + 2.
(o + 2)**3/4
Let l(a) = a**3 + a**2 + a. Let p(b) = -10*b**3 - 20*b**2 + 15*b. Let u(o) = -5*l(o) - p(o). Factor u(h).
5*h*(h - 1)*(h + 4)
Let l(o) be the third derivative of -o**7/35 + 3*o**6/40 + 7*o**5/20 - 3*o**4/2 + 2*o**3 + 104*o**2. Suppose l(q) = 0. What is q?
-2, 1/2, 1, 2
Let u(f) be the first derivative of 8/7*f - 14 + 6/7*f**2 + 1/28*f**4 + 2/7*f**3. Factor u(s).
(s + 2)**3/7
Let j(m) = -4*m**2 - 26*m + 50. Suppose 0 = 2*k - l + 11, -9 - 7 = 2*k + 4*l. Let t(w) = -w**2 - w. Let o(p) = k*t(p) + j(p). Determine s so that o(s) = 0.
5
Suppose g - 474 = -g. Factor 8*n - 4 - 243*n**2 + g*n**2 + 12.
-2*(n - 2)*(3*n + 2)
Let d(u) be the second derivative of 2/15*u**6 - u**4 + 12*u + 8*u**2 + 2/5*u**5 + 0 - 8/3*u**3. Let d(x) = 0. Calculate x.
-2, 1
Let b be ((-14)/70)/(21/(-10)). Let z(q) be the second derivative of 2/7*q**2 + 3/70*q**5 - 1/21*q**3 - b*q**4 + q + 0. Factor z(i).
2*(i - 1)**2*(3*i + 2)/7
Let d(a) = -21*a**4 + 21*a**3 + 336*a**2 + 447*a + 27. Let f(h) = 3*h**4 - 3*h**3 - 48*h**2 - 64*h - 4. Let u(z) = -4*d(z) - 27*f(z). Factor u(v).
3*v*(v - 5)*(v + 2)**2
Let f(v) be the first derivative of 3 + 64/5*v**5 + 40*v**4 + 44*v**3 + 20*v**2 + 4*v. Factor f(m).
4*(m + 1)**2*(4*m + 1)**2
Factor 22*d - 14 - 2 - 2*d**2 + 10 - 14.
-2*(d - 10)*(d - 1)
Suppose 5*d - 40 = -5*l, -5*d + 60 - 21 = 4*l. Factor v**5 + 3*v + 9*v**3 - 2*v**4 - 3*v**4 - v - d*v**2.
v*(v - 2)*(v - 1)**3
Let y be 1 - (467/3 + -3). Let l = y + 153. Factor l*c + 2/3 + 2/3*c**2.
2*(c + 1)**2/3
Suppose 2*d = 4*s + 12, 6 = 5*d + 5*s + 21. Determine i, given that 50/13*i**3 + 0 - 60/13*i**4 - 8/13*i + d*i**2 + 18/13*i**5 = 0.
-1/3, 0, 2/3, 1, 2
Let p(o) be the second derivative of o**4/24 - 7*o**3/6 + 10*o**2 - 338*o. Suppose p(l) = 0. Calculate l.
4, 10
Let a(o) be the third derivative of -o**7/525 - o**6/240 + 7*o