0.
-1, 2
Let s = -24 + 26. Suppose -75*y - y**2 - 3*y**2 + 4*y**4 - s*y**5 + 77*y = 0. What is y?
-1, 0, 1
Let g(p) be the second derivative of -p**5/200 - p**4/20 - p**3/5 - 2*p**2/5 - 7*p + 3. Factor g(w).
-(w + 2)**3/10
Find o such that 9/4 + 1/4*o**2 - 5/2*o = 0.
1, 9
Let c(a) be the second derivative of a**5/70 - 2*a**4/21 - 4*a**3/3 - 32*a**2/7 - 2*a - 563. Let c(s) = 0. Calculate s.
-2, 8
Factor 15*c**3 - 4 + 2096*c - 57*c**3 + 47*c**2 - 2108*c + 11*c**4.
(c - 2)*(c - 1)**2*(11*c + 2)
Let j be 4/6*(-13)/(-13). Let o = 0 + j. Factor 1/3*a**5 - o*a**3 + 0 + 1/3*a + 0*a**4 + 0*a**2.
a*(a - 1)**2*(a + 1)**2/3
Let y be (-10)/15*(15/10)/((-29)/58). Factor 2 + 11/2*m + 5/2*m**y - m**3.
-(m - 4)*(m + 1)*(2*m + 1)/2
Let v(j) be the second derivative of -5*j**7/42 + 5*j**6/6 - 3*j**5/2 - 5*j**4/6 + 35*j**3/6 - 15*j**2/2 + j - 36. Factor v(r).
-5*(r - 3)*(r - 1)**3*(r + 1)
Suppose -8*a + 147 = -5. Suppose -a*w = -14*w. What is k in 8/13*k**3 - 2/13*k**2 + w + 0*k = 0?
0, 1/4
Let d(o) = -27 - 17*o + 36*o - 18*o. Let r be d(27). Determine i, given that -6/7*i**3 + r - 9/7*i**2 - 3/7*i = 0.
-1, -1/2, 0
Suppose 78737*a = 78778*a - 164. Let -3/4*s**a + 3*s + 9/2*s**2 - 3/4*s**3 - 6 = 0. Calculate s.
-2, 1, 2
Let v(q) be the first derivative of -1/9*q**6 + 0*q**2 + 0*q + 4/9*q**3 + 0*q**5 - 17 + 1/2*q**4. Suppose v(n) = 0. Calculate n.
-1, 0, 2
Let 3723408/7*v**2 + 2/7*v**5 + 70233696/7*v - 74030112/7 + 72384/7*v**3 + 622/7*v**4 = 0. What is v?
-78, 1
Factor 301*a + 4*a**4 + 60*a**2 + 2*a**5 - 276*a + 8*a**4 + 46*a**3 - a**5.
a*(a + 1)**2*(a + 5)**2
Let f(t) = 2*t**5 - 2*t**4 + 9*t**3 - 10*t**2 + t + 5. Let j(l) = -l**5 + l**4 - l**2 + l - 1. Let b be -15*3/(-13 + 4). Let v(y) = b*j(y) + f(y). Factor v(g).
-3*g*(g - 1)**3*(g + 2)
Let c(i) be the first derivative of -5 + 0*i + 1/4*i**4 - 1/6*i**6 + 0*i**5 + 0*i**2 + 0*i**3. Factor c(u).
-u**3*(u - 1)*(u + 1)
Let b = 372 + -1115/3. Suppose 0*j - b*j**2 - 1/6*j**3 + 0 = 0. Calculate j.
-2, 0
Let r(g) be the third derivative of g**7/10080 + g**6/720 + g**5/160 + g**4/12 + 8*g**2. Let j(a) be the second derivative of r(a). Factor j(w).
(w + 1)*(w + 3)/4
Let x(r) be the first derivative of 4 + 1/6*r**3 + 25/2*r + 5/2*r**2. Factor x(u).
(u + 5)**2/2
Let 60/7 - 11/7*c - 1/7*c**2 = 0. What is c?
-15, 4
Let y be 3*(0 - (-4 + 40/12)). Suppose 5*o - 30 = 4*w, o - 2*o + 22 = -4*w. Suppose 2*z + 2*z - z**y - 3*z**2 + 2*z**o = 0. What is z?
0, 2
Let r(h) be the third derivative of 5*h**8/336 - h**7/14 - 11*h**6/24 + 9*h**5/4 + 25*h**4/12 - 20*h**3 + 7*h**2 - 11*h. Determine w, given that r(w) = 0.
-3, -1, 1, 2, 4
Let o be (-812)/308 - (6/(-2) - 0). Suppose -o*i**3 + 8/11*i**2 + 4/11*i - 2/11*i**4 - 6/11 = 0. Calculate i.
-3, -1, 1
Let n(f) = -15*f + 63. Let b be n(4). Let k = -148/5 - -30. Suppose 3/5*u + 0*u**2 - 1/5*u**b - k = 0. What is u?
-2, 1
Factor 2/9*c**5 - 22/3*c**3 + 0*c - 14*c**2 - 2/9*c**4 + 0.
2*c**2*(c - 7)*(c + 3)**2/9
Let a be (-84)/(-63)*9/(-3) + 6. Factor -8/5 + 0*n + 2/5*n**a.
2*(n - 2)*(n + 2)/5
Suppose 3*g = 3 - 0, g = -i + 6. Let u(f) = -5 - 3*f + i - f**2 - 2*f**2. Let c(v) = -7*v**2 - 7*v. Let n(q) = -4*c(q) + 9*u(q). Factor n(z).
z*(z + 1)
Let r(w) = 3*w + 2. Let y be r(6). Let m be (-7)/3 + 2 + y/36. Solve 0*n + 0 - m*n**4 + 0*n**3 + 2/9*n**2 = 0 for n.
-1, 0, 1
Let g(j) = j**2 - j + 1. Suppose 8*b - 11 = -3. Let n(a) = 15*a**2 + 9*a + 9. Let m(z) = b*n(z) - 5*g(z). Factor m(c).
2*(c + 1)*(5*c + 2)
Let c(z) be the second derivative of 0*z**2 - 7/45*z**7 + 0 + 2/5*z**4 + 8*z - 109/150*z**5 - 4/45*z**3 + 14/25*z**6. Determine k, given that c(k) = 0.
0, 2/7, 1
Let r = 22 + 65. Let 38*u**3 + 23*u**5 - 40*u + 13*u**2 - 128*u**3 + 35*u**4 - 28*u**5 + r*u**2 = 0. Calculate u.
0, 1, 2
Suppose -5*k + 30 = -5*r, -2*r = 4*k - 36 - 12. Let o(g) = -g + 13. Let w be o(10). Factor w*j**3 + 10*j - 9*j**2 + 9*j - k*j - 3 + 0.
3*(j - 1)**3
Let t(c) be the second derivative of -c**7/2940 + c**6/630 - c**5/420 + 29*c**3/6 + 2*c. Let h(g) be the second derivative of t(g). Factor h(d).
-2*d*(d - 1)**2/7
Let j(c) be the first derivative of -3*c**5/35 - 3*c**4/28 + c**3/7 + 3*c**2/14 + 99. Determine a so that j(a) = 0.
-1, 0, 1
Determine s so that 64*s**3 + 72*s**3 - 140*s**3 - 4*s**2 = 0.
-1, 0
Suppose 40 = -4*x + 4*i, -2*i + 4 = -4. Let k(n) = n + 8. Let m be k(x). Let 0*g - 5*g**m + 3*g - 1 + g**3 + 2*g**2 = 0. What is g?
1
Let 28/3*o**2 - 16/3*o**3 - 8/3*o**4 + 14/3*o + 2/3*o**5 - 20/3 = 0. Calculate o.
-2, -1, 1, 5
Let w(o) be the second derivative of -1/15*o**6 + 0*o**2 - 2/3*o**3 + 1/2*o**4 + 0 - 20*o + 0*o**5. Factor w(l).
-2*l*(l - 1)**2*(l + 2)
Let a(h) = -h**3 - 4*h**2 - 5*h + 3. Let d be a(-4). Let k = d + -21. Solve -l**2 + 4*l - 3*l**k - 8*l + 8 = 0 for l.
-2, 1
Let v(p) be the third derivative of 1/4*p**3 + 1/40*p**5 + 0 + 15*p**2 + 0*p - 1/8*p**4. Factor v(l).
3*(l - 1)**2/2
Let h(q) be the first derivative of 5*q**6/6 - 5*q**5 - 5*q**4/4 + 25*q**3/3 - 137. Factor h(d).
5*d**2*(d - 5)*(d - 1)*(d + 1)
Let o(f) = -2*f**3 + 11*f**2 - f - 18. Let x be o(5). Factor -4*d**3 + 5*d**2 + 4*d + 13*d - 13*d + d**x.
-2*d*(d - 2)*(2*d + 1)
Let v(j) be the second derivative of 0 + 3/16*j**3 - 3/8*j**2 - 5*j - 3/160*j**5 + 0*j**4. Factor v(h).
-3*(h - 1)**2*(h + 2)/8
Let u(p) be the third derivative of p**7/210 + p**6/30 - p**5/5 - 4*p**4/3 + 32*p**3/3 + 18*p**2 + 2. Find y, given that u(y) = 0.
-4, 2
Let f(h) be the third derivative of -13*h**5/360 + 29*h**4/144 - h**3/6 - 2*h**2 - 63. Determine y, given that f(y) = 0.
3/13, 2
Let d(k) be the third derivative of k**6/420 - 2*k**5/105 - k**4/21 + 16*k**3/21 + 6*k**2 + 4*k. Factor d(z).
2*(z - 4)*(z - 2)*(z + 2)/7
Suppose 3*c - 3*y - 21 = 0, -5*y = 86*c - 90*c + 32. Let u(g) be the first derivative of 8/3*g - 4 - 2/9*g**c + g**2. Suppose u(v) = 0. Calculate v.
-1, 4
Suppose 3*n = 3*a - 3, -3 = 2*a + n - 11. Let j(b) = b. Let k be j(a). Factor -3/2*s**k - 1/4*s - 1/4*s**5 + 0 + s**2 + s**4.
-s*(s - 1)**4/4
Let a(r) be the third derivative of r**9/80640 - r**8/8960 + r**7/3360 + r**5/30 - 26*r**2. Let g(p) be the third derivative of a(p). Factor g(h).
3*h*(h - 2)*(h - 1)/4
Let z = -9/214 + 473/1070. Let b(c) be the first derivative of -c + 10 + z*c**5 + 1/12*c**6 - 1/3*c**3 - 5/4*c**2 + 1/2*c**4. Factor b(q).
(q - 1)*(q + 1)**3*(q + 2)/2
Determine f, given that -2/3*f**4 + 2/3*f**2 + 0 + 4/3*f**3 - 4/3*f = 0.
-1, 0, 1, 2
Let h(j) be the first derivative of j**3/3 + 5*j**2/2 + 4*j + 1. Let u(w) = -2*w**2 - 6*w - 4. Suppose 4 = 59*k - 58*k. Let g(q) = k*h(q) + 3*u(q). Factor g(p).
-2*(p - 2)*(p + 1)
Let q = -5402 - -118867/22. Let o = q + 5/11. Let -o*y - 1/4*y**2 - 9/4 = 0. Calculate y.
-3
Let q(v) be the second derivative of -64*v**4/3 - 352*v**3/3 - 242*v**2 - v + 10. Find j, given that q(j) = 0.
-11/8
Let m = 4 + -4. Suppose m*t = 8*t - 16. Solve 3/2 + 3/4*k**t - 15/4*k + 15/4*k**3 - 9/4*k**4 = 0 for k.
-1, 2/3, 1
Suppose 5*p = -0*p. Let n(w) be the second derivative of 0 - 1/6*w**3 - 8*w + p*w**2 - 1/24*w**4. Factor n(v).
-v*(v + 2)/2
Suppose 5*u = 11 + 19. Suppose -s - 10 = -u*s. Factor 16*l - 2*l**2 - 8*l - 10*l + s*l**3 + 2*l**4.
2*l*(l - 1)*(l + 1)**2
Let r be -25*(-1)/20 + 2*(-6)/12. Determine m so that -m + 3/4*m**4 + 2 - 7/2*m**2 + r*m**3 = 0.
-2, -1, 2/3, 2
Suppose 2*t - 3*z = z + 24, 5*t + 2*z - 12 = 0. Suppose 0 = -5*i + 3*f + 22, -2*i + f + 24 = -t*f. Find g such that 5 - g**i + g**2 - g**2 - 1 = 0.
-2, 2
Let h be (-12)/(-15) + 96/80. Let y(t) be the first derivative of -3*t + 3 + t**3 + 3/4*t**4 - 3/2*t**h. Factor y(q).
3*(q - 1)*(q + 1)**2
Let j(w) be the first derivative of -2*w**5/35 - 2*w**4/7 - 8*w**3/21 - 32. What is n in j(n) = 0?
-2, 0
Let p(f) be the third derivative of 2/15*f**6 - 4/3*f**3 + 2/15*f**5 + 0*f**7 + 32*f**2 + 0*f - 1/84*f**8 + 0 - 1/2*f**4. Factor p(l).
-4*(l - 2)*(l - 1)*(l + 1)**3
Suppose -16 = -4*p + 3*f, -24*p = -20*p + 2*f - 16. Let a(i) be the first derivative of 1/10*i**p - 6 + 1/5*i**2 + 0*i - 4/15*i**3. Factor a(r).
2*r*(r - 1)**2/5
Let h(p) be the third derivative of 0*p + 23*p**2 + 1/360*p**5 + 0 - 1/4*p**3 + 0*p**4. Let h(z) = 0. What is z?
-3, 3
Factor 45 + 1/2*f**3 + 8*f**2 + 69/2*f.
(f + 3)**2*(f + 10)/2
Let h(p) = p**2 + 23*p + 122. Let o be h(-8). Let z(u) be the third derivative of 1/6*u**4 + 0*u - 2*u**o +