 a be 3015/1809 - 17/21. Let -4/7*r**2 + 0 - 2/7*r**3 + a*r = 0. What is r?
-3, 0, 1
Let c = -4 + 7. Suppose -2*u + c + 1 = 0. Find z, given that 3 + 8*z - 7*z**u + 5*z**2 - 11 = 0.
2
Let w(x) be the first derivative of 5/3*x**3 + 4*x - 4*x**2 - 1/4*x**4 - 7. Determine k so that w(k) = 0.
1, 2
Let h be (-21570)/72 - 1/(-4). Let v = -296 - h. Solve 8*x**3 + 0 + v*x**2 - 4/3*x + 2/3*x**4 - 8/3*x**5 = 0 for x.
-1, 0, 1/4, 2
Let z = 105898 - 2117447/20. Let x(l) be the first derivative of -4*l + z*l**5 - 4*l**2 + 63/8*l**6 + 117/4*l**4 + 3 + 32/3*l**3. Solve x(n) = 0.
-1, -2/3, 2/7
Suppose 3*t - 6 = -3. Let h be ((-266)/70)/(-1*t) + -3. Factor 0 - 4/5*j + h*j**2.
4*j*(j - 1)/5
Suppose -14/5*x**3 - 2*x**2 + 62/5*x - 2/5*x**4 + 12 = 0. What is x?
-5, -3, -1, 2
Suppose 5 + 51 = 7*i. Suppose i*y**2 + 0*y**4 - 4*y**4 - 9 + 5 = 0. What is y?
-1, 1
Let p = 9 + -8. Let v = p + 5. Factor -3*u**2 - 3*u + 0*u**3 + 3*u**4 + v*u**3 - 3*u**3 + 0*u**2.
3*u*(u - 1)*(u + 1)**2
Let i(d) be the first derivative of 2*d**5/5 + d**4/2 - 26*d**3/3 - d**2 + 24*d - 523. Find j, given that i(j) = 0.
-4, -1, 1, 3
Factor 3*x**4 - 16*x**3 + 1659*x**2 - 1659*x**2 + x**4.
4*x**3*(x - 4)
Let l(i) be the first derivative of 0*i + 0*i**2 - 2/7*i**3 + 25. Let l(c) = 0. What is c?
0
Factor 74*t**2 - 140*t**2 - 22*t + 67*t**2 - 24*t.
t*(t - 46)
Let m = -7496 - -67472/9. What is v in 0*v**2 + m*v + 0 - 2/9*v**3 = 0?
-2, 0, 2
Suppose 108 = -z + 116. Suppose z = 4*d + 4*k, 4*k = 2*d - 1 - 15. Factor 0 + s**3 - s**d - 1/3*s**2 + 0*s + 1/3*s**5.
s**2*(s - 1)**3/3
Let o(y) be the second derivative of y**8/6720 - y**7/1890 - y**6/432 + y**5/180 - y**4/2 + 20*y. Let h(l) be the third derivative of o(l). Factor h(q).
(q - 2)*(q + 1)*(3*q - 1)/3
Let z be 1 + 8 + 35/(-5). Let r(a) = -a**3 - 5*a**2 + 5*a - 4. Let o be r(-6). Solve -6*s**z + 20*s - 4 - o*s**3 + 0*s**3 + 2*s**4 - 10*s = 0.
-2, 1
Let f be 2986/26 - 4/(-26). Suppose -7*c + f = -2*c. Factor 9*u**2 - c*u**2 + 12*u + 9 + 17*u**2.
3*(u + 1)*(u + 3)
Let z be (2/(-10))/(27/135)*121. Let h = 125 + z. Suppose 8*u - 7/2*u**h + 1/2*u**5 - 2 + 19/2*u**3 - 25/2*u**2 = 0. Calculate u.
1, 2
Let a(r) = -r**2. Let n(g) = 9*g**2 - 60*g + 180. Suppose 7*f = -2 - 5. Let d(m) = f*n(m) - 4*a(m). Factor d(z).
-5*(z - 6)**2
Let a(j) be the first derivative of 20 + 2/3*j**3 + 1/2*j**2 + 1/4*j**4 + 0*j. Factor a(z).
z*(z + 1)**2
Let 13/8*y + 1/8*y**4 - 3/4 - 1/8*y**3 - 7/8*y**2 = 0. Calculate y.
-3, 1, 2
Let v(u) be the third derivative of 1/30*u**6 + 0*u**3 + 4/15*u**5 - 5*u**2 + 0*u - 5/6*u**4 + 0. What is w in v(w) = 0?
-5, 0, 1
Let f(r) be the second derivative of r**6/45 - r**4/3 + 8*r**3/9 - r**2 - 5*r + 6. Factor f(h).
2*(h - 1)**3*(h + 3)/3
Let m be (-7)/(-2) + (-1)/(-2). Let x = 16 + -16. Factor -12*j + x*j**4 + 12*j - m*j**3 - 2*j**4.
-2*j**3*(j + 2)
Factor -228*h + 123*h + 131*h - 2*h**2 + 28.
-2*(h - 14)*(h + 1)
Let u(n) be the third derivative of 4 - 1/60*n**5 + 0*n + 2*n**2 + 7/6*n**3 + 1/4*n**4. Solve u(j) = 0 for j.
-1, 7
Let q(w) be the second derivative of -2*w**6/15 - 5*w**5 + 9*w**4 + 50*w**3/3 - 52*w**2 + 22*w - 5. Factor q(u).
-4*(u - 1)**2*(u + 1)*(u + 26)
Let a(h) be the third derivative of -h**5/36 - 35*h**4/72 + 5*h**3 - 120*h**2. Factor a(m).
-5*(m - 2)*(m + 9)/3
Let o(u) be the first derivative of 12 + u**4 + 4/5*u**5 - 4/3*u**3 - 2*u**2 + 0*u. Suppose o(h) = 0. Calculate h.
-1, 0, 1
Let n(w) be the first derivative of w**6/4 + 6*w**5/5 - 7*w**3 - 51*w**2/4 - 9*w + 106. What is m in n(m) = 0?
-3, -1, 2
Let a be 50/25*3/(-27)*-9. Factor -4/13*n + 2/13 + 2/13*n**a.
2*(n - 1)**2/13
Suppose -2*t - 5 = -l, -3*t + 2 = -1. Let f = l - 3. Factor 2*n**4 + 0*n**f - 3*n**5 + n**5 - 4*n**4.
-2*n**4*(n + 1)
Find j, given that 16*j**2 + 3584 - 66*j**2 - 1192*j - 2*j**3 + 1128*j = 0.
-16, 7
Let c(a) = -10*a**4 + 32*a**3 - 5*a**2 + 8*a - 11. Let k(z) = z**4 - 2*z**3 + 2*z**2 + 1. Let q(r) = 4*c(r) + 44*k(r). Suppose q(g) = 0. Calculate g.
-8, -1, 0
Let d(c) be the second derivative of 2*c**2 + 0*c**4 - 8/3*c**3 - 6*c + 0 - 1/30*c**6 + 1/5*c**5. Let o(x) be the first derivative of d(x). Factor o(m).
-4*(m - 2)**2*(m + 1)
Suppose 0*l - l - 4*u + 23 = 0, 4*u - 14 = 2*l. What is s in 10*s**l + 40*s**4 + s**2 - 38*s**4 - 18*s + 5*s**2 = 0?
-3, 0, 1
Suppose 7 - 4 = b. Factor 4*y**2 - 5*y**2 - 4*y**2 - 8*y**b + 3*y**3.
-5*y**2*(y + 1)
Let j(v) be the first derivative of -v**7/1680 + v**6/144 - v**5/60 + 10*v**3 - 27. Let u(q) be the third derivative of j(q). Factor u(n).
-n*(n - 4)*(n - 1)/2
Suppose -1 = -43*k + 88 - 3. Find u, given that -2/3 + 8/3*u - 7/6*u**3 - 5/6*u**k = 0.
-2, 2/7, 1
Let x(p) be the first derivative of -7*p + 4/3*p**3 + 6*p**2 - 1/3*p**4 - 9. Let v(t) be the first derivative of x(t). Factor v(k).
-4*(k - 3)*(k + 1)
Let m(y) be the first derivative of y**4/24 - 71*y**3/18 + 139*y**2/12 - 23*y/2 + 153. Factor m(a).
(a - 69)*(a - 1)**2/6
Suppose -1/4*a**4 - 1/2*a**3 + 1/4*a + 1/4*a**5 - 1/4 + 1/2*a**2 = 0. What is a?
-1, 1
Suppose -2*b - 14 + 38 = -4*w, -b + 27 = -5*w. Let n = 11/2 + w. Suppose -n + 13/4*d - 47/4*d**3 - 2*d**2 - 2*d**4 + 4*d**5 = 0. What is d?
-1, 1/4, 2
Let w be 1 - (-11)/(11/24). Suppose -6*o = -o - w. Solve 0*r**2 + 2*r**3 + 6*r**2 - 2*r + o*r + r = 0 for r.
-2, -1, 0
Let g = 22480 + -22478. Factor 0 + 9/5*m + 3*m**g + 1/5*m**4 + 7/5*m**3.
m*(m + 1)*(m + 3)**2/5
Let j(s) be the third derivative of -s**5/60 - s**4/6 + 2*s**2. Let t be j(-3). Factor p**3 + 0*p - 3*p + 5*p**t - 3*p**3.
3*p*(p - 1)*(p + 1)
Let y(g) be the first derivative of -3*g**4/4 + 7*g**3 + 45*g**2 - 573. Factor y(d).
-3*d*(d - 10)*(d + 3)
What is z in -11/2*z**2 + z**5 + 19/4*z**4 + 2 + 19/4*z**3 - 7*z = 0?
-2, 1/4, 1
Determine i, given that 11/5*i**3 + 44/5*i - 2/5*i**4 - 1/5*i**5 + 8*i**2 + 16/5 = 0.
-2, -1, 4
Let b = -17 - -21. Let g(o) = -o**3 + 3*o**2 + 5*o - 1. Let h be g(b). Determine t, given that t**2 + t**4 - t**3 + 3*t**h + 2*t**3 - 2*t**3 = 0.
-1, 0
Let i(m) be the second derivative of 0 + 121/5*m**5 - 8*m**2 - 77/3*m**4 - 3*m - 80/3*m**3. Factor i(h).
4*(h - 1)*(11*h + 2)**2
Suppose -3*j + 5*j + 12 = q, 2*j = -8. Let f(v) be the first derivative of 1/8*v**q + 1/16*v**2 + 0*v + 1 - 5/24*v**3. Suppose f(m) = 0. Calculate m.
0, 1/4, 1
Suppose 4*o = -2*o + 30. Factor -3*i**3 + 6*i**4 + o*i**4 + i**2 - 7*i**4 - 2*i**3.
i**2*(i - 1)*(4*i - 1)
Let t = 148 + -136. Factor -36*w**2 + 240*w**3 - 232*w**3 - 22*w + t*w**4 - 16 - 26*w.
4*(w - 2)*(w + 1)**2*(3*w + 2)
Let t(k) = -k**2 - 3*k + 10. Let c(s) = -s**2 - 5*s + 19. Let r(h) = 4*c(h) - 7*t(h). Let f(n) = -n**2 - 2. Let m(b) = 8*f(b) + 3*r(b). Factor m(x).
(x + 1)*(x + 2)
Solve 11*i**2 - 9*i**5 + 15*i**3 - 41*i**3 + 33*i**3 + 2*i - 11*i**4 = 0 for i.
-1, -2/9, 0, 1
Let l be 817/215 - (-2)/10. Suppose -5*j = 3*h - 3, -j + l*j - 4*h = 25. Suppose -2/5*u**2 - 6/5 + 2*u - 2/5*u**j = 0. What is u?
-3, 1
Suppose 4 = -k + 3*k, 0 = 4*q - 3*k - 2. Let z be 2/24 + 15400/5280. What is t in 2/9*t - 2/9*t**z + 0 + 0*t**q = 0?
-1, 0, 1
Suppose -4*y - 5*y + 27 = 0. Let t(p) be the third derivative of 0 - 6*p**2 + 1/3*p**y + 0*p - 1/30*p**5 - 1/12*p**4 + 1/60*p**6. Factor t(a).
2*(a - 1)**2*(a + 1)
Let y = -1585 - -11103/7. Factor -6/7 - 16/7*m**2 - y*m**3 + 22/7*m.
-2*(m + 3)*(2*m - 1)**2/7
Factor -19*d - 40*d - 12*d + 16*d - 73 - d**2 + 19.
-(d + 1)*(d + 54)
Factor -4*y**5 + 12*y**4 + 8*y**5 - 5*y**5 + 2*y**3 + 0*y**3 + 11*y**3.
-y**3*(y - 13)*(y + 1)
Suppose 0 = 12*i - 88 + 52. Let s(c) be the second derivative of 1/6*c**7 - 23/30*c**6 + 0*c**i + 0*c**2 - 1/3*c**4 + c**5 - 2*c + 0. Factor s(z).
z**2*(z - 2)*(z - 1)*(7*z - 2)
Let l(q) = -q**2 + 13*q. Let h be l(13). Suppose -2*x - 1 = -4*c + 11, -x - c + 6 = h. Factor -1/2 - 1/2*r + 1/2*r**3 + 1/2*r**x.
(r - 1)*(r + 1)**2/2
Let u be 3/12 - 609/(-28). Factor -12*t - 48*t**3 + u*t**3 - 12*t**2 + 23*t**3.
-3*t*(t + 2)**2
Let y(j) be the third derivative of -j**5/12 + 5*j**4/8 - 138*j**2 - 1. Find i, given that y(i) = 0.
0, 3
Let q be (-9)/(-6)*12/9. Let u(o) be the second derivative of 0 - 5/54*o**4 + 7/27*o**3 + 1/90*o**5 - 8*o - 1/3*o**q. Factor u(j).
2*(j - 3)*(j - 1)**2/9
Let q(i) be the first derivative of 2*i**7/21 + 8*i**6/15 + i**5 + 2*i**4/3 - 2*i - 5. Let d(h) be the first derivative of q(h). Factor d(p).
4*p**2*(p + 1)**2*(p + 2)
Let b = 246