00 = 4*y - 2*c, -6*y + 2*c = -y + 126. Let s be (-4)/y - (-10)/104. Solve -1/2*o**2 + 1/2*o**4 - 1/4*o**5 + 0 + 0*o**3 + s*o = 0.
-1, 0, 1
Suppose 5*q - 51 - 69 = 0. Suppose 28*p = q*p. Determine x, given that -3/4*x**2 + 1/2*x**3 + p*x + 1/4 = 0.
-1/2, 1
Let o(a) = -2*a**3 + 5*a**2 - 5. Let l(t) = -t**3 + 2*t**2 - 2. Let w = -46 - -31. Let c(y) = w*l(y) + 6*o(y). Factor c(u).
3*u**3
Let a(u) be the second derivative of 0*u**3 + 0 - 5*u + 0*u**2 - 1/12*u**4. Solve a(h) = 0.
0
Let p be 13/(-5) - (-12)/20. Let z be ((-3)/p)/((-72)/(-32)). Suppose -2/3 - z*x + 2/3*x**2 + 2/3*x**3 = 0. Calculate x.
-1, 1
Determine o, given that 15*o**4 - 2*o**3 - o**5 + 3*o**3 - 13*o**4 + 2*o**5 = 0.
-1, 0
Let b(h) be the third derivative of 0*h**3 - 2*h**2 + 0*h**4 + 0*h**5 + 1/60*h**6 + 1/42*h**7 + 0*h + 0. Let b(s) = 0. Calculate s.
-2/5, 0
Suppose -4*f + 2*f = -4*y - 2, -3*f = -4*y + 1. Let z = f + 3. Factor -4/9*b + 2/9 + z*b**2 - 2/9*b**4 + 4/9*b**3.
-2*(b - 1)**3*(b + 1)/9
Let q(b) = -15*b + 93. Let y be q(6). Factor 9/2*s**y + 0*s - 2*s**4 - s**2 + 0.
-s**2*(s - 2)*(4*s - 1)/2
Suppose 0 = -5*h + 4*z - 13 - 7, 0 = h + 5*z - 25. Find v, given that 2/15*v**5 + 0*v + h - 2/15*v**4 + 2/15*v**2 - 2/15*v**3 = 0.
-1, 0, 1
Let l(a) be the third derivative of -a**7/245 - a**6/420 + a**5/105 - 20*a**2. Factor l(z).
-2*z**2*(z + 1)*(3*z - 2)/7
Let i be (-4)/3*(-6)/4. Let x = 176 + -171. Factor -4/7*l**i + 2/7*l**x + 4/7*l**4 - 2/7*l + 0 + 0*l**3.
2*l*(l - 1)*(l + 1)**3/7
Let f = -292 + 1464/5. Let -4/5*d + 12/5 - 12/5*d**2 + f*d**3 = 0. What is d?
-1, 1, 3
Let r(x) be the third derivative of 0 + 0*x + 1/30*x**6 - 1/168*x**8 - 1/3*x**3 - 1/105*x**7 + 1/15*x**5 - 1/12*x**4 + 4*x**2. Factor r(q).
-2*(q - 1)**2*(q + 1)**3
Let m(q) be the first derivative of -32*q**5/25 + 12*q**4/5 + 46*q**3/15 - 3*q**2 + 4*q/5 - 14. Let m(r) = 0. Calculate r.
-1, 1/4, 2
Suppose 5*w - 14 = 1. Suppose 2/3*z - 2/3*z**4 + 2/3*z**2 - 2/3*z**w + 0 = 0. What is z?
-1, 0, 1
Suppose 0 = 2*u - f - 5, 9*u - f - 9 = 5*u. Factor 3/4*p**u - 3/2 + 9/4*p**3 + 3/4*p**4 - 9/4*p.
3*(p - 1)*(p + 1)**2*(p + 2)/4
Suppose 0*d - 6*d = 0. Let r(v) be the third derivative of 0*v**4 + 0*v**3 + d*v - 2*v**2 + 0 + 1/120*v**5 + 1/240*v**6. Factor r(x).
x**2*(x + 1)/2
Suppose -2*z - 16 = -4*n - 6*z, 3*z = -3. Suppose 2*f = n + 3. Factor 20*i**3 + 6*i + 21*i**2 + 3*i**2 + 6*i**f + 6 - 4 + 6*i.
2*(i + 1)**3*(3*i + 1)
Let p(r) = r**2 + 3*r - 8. Let v be p(-12). Factor 6 + v*h**2 + 8*h**3 + 45*h + 11*h**2 + 27*h**4 + h**3 + 90*h**3.
3*(h + 1)*(h + 2)*(3*h + 1)**2
Let v(d) be the third derivative of -6*d**2 + 0*d**3 - 1/105*d**7 + 1/120*d**6 + 1/336*d**8 + 0*d**5 + 0*d**4 + 0 + 0*d. Factor v(c).
c**3*(c - 1)**2
Let k(d) = -4*d**4 + 88*d**3 - 244*d**2 + 224*d + 8. Let h(r) = r**4 - 29*r**3 + 81*r**2 - 75*r - 3. Let p(i) = -8*h(i) - 3*k(i). Factor p(x).
4*x*(x - 3)**2*(x - 2)
Factor 6*a**3 - 2*a**3 - 16*a**2 - 15*a**3 - 4*a**4 - 5*a**3.
-4*a**2*(a + 2)**2
Let j = -45 - -49. Let t(o) be the third derivative of -1/9*o**3 + 1/90*o**5 - j*o**2 + 0*o + 0 + 1/36*o**4 - 1/180*o**6. Solve t(d) = 0 for d.
-1, 1
Let t(k) be the third derivative of -5/18*k**5 - 8*k**2 + 0*k - 5/18*k**4 - 1/9*k**3 + 0. Factor t(h).
-2*(5*h + 1)**2/3
Suppose 4*p - 4 = -5*o + 12, 5*p - 20 = -4*o. Let u(t) = -3*t - 85. Let f be u(-29). Factor 0*z + 2/3*z**p + 0*z**f + 2/3*z**3 + 0.
2*z**3*(z + 1)/3
Let d = 19 - 13. Let g be (-3)/((-135)/d)*6. Find a such that 2/5*a**2 + 2/5 + g*a = 0.
-1
Factor 0*a - 3/2*a**2 + 3/2.
-3*(a - 1)*(a + 1)/2
What is y in -2*y**3 - y**4 + 6*y**2 + 0*y**3 - 5*y**2 + 2*y = 0?
-2, -1, 0, 1
Suppose -3*g = -4*g + 5. Let u(c) be the first derivative of 6/5*c**g - 3*c**6 - 3 - 4/3*c**3 - 5*c**2 - 2*c + 7*c**4. What is a in u(a) = 0?
-1, -1/3, 1
Let i = 2/339 + 220/1017. Let v(h) be the first derivative of -3 + 0*h - i*h**3 - 1/3*h**2. Suppose v(t) = 0. Calculate t.
-1, 0
Let c(v) = -v**3 + 8*v**2 - 6*v - 8. Let g be c(7). Let z be 3 + g - 8/6. Factor 0*j + 0 + z*j**2 - 2/3*j**3.
-2*j**2*(j - 1)/3
Let u(w) = -w**2 + 11*w - 13. Let f be u(9). Suppose 2*r**f + 2*r**5 + 190*r**3 - 198*r**3 + 4*r = 0. What is r?
-1, 0, 1
Let j(u) be the third derivative of u**9/100800 - u**8/8400 + u**7/1680 - u**6/600 - u**5/15 - 2*u**2. Let k(d) be the third derivative of j(d). Factor k(s).
3*(s - 2)*(s - 1)**2/5
Let y(t) = 2*t**2 + 4 + 3*t - 2*t**3 - 5*t + t. Let b(l) = -l**2 + l + 1. Suppose -5*q = d + 13, 4*d + 2*q + 1 = 3. Let v(k) = d*y(k) - 6*b(k). Factor v(a).
-2*(a - 1)**2*(2*a - 1)
Let m(j) be the second derivative of -4*j + 0 - 1/7*j**3 - 5/42*j**4 + 2/7*j**2. Let m(q) = 0. What is q?
-1, 2/5
Factor 0 - 2/19*v**3 + 2/19*v + 0*v**2.
-2*v*(v - 1)*(v + 1)/19
Let k(t) = t**2 - 2*t. Let s = -7 - -9. Let m be k(s). Factor -5/2*c**3 + m + c + 3/2*c**2.
-c*(c - 1)*(5*c + 2)/2
Let o(i) = -i**2. Let j(r) = -2*r**2 - 33*r - 36. Let t(s) = j(s) - 5*o(s). Factor t(m).
3*(m - 12)*(m + 1)
Solve -14/5*h - 4/5 - 4/5*h**3 - 14/5*h**2 = 0.
-2, -1, -1/2
Find r such that -3/2*r**3 + 0 + 0*r - 9/2*r**2 = 0.
-3, 0
Let j be (392/(-6))/(1190/147). Let p = j + 246/17. What is g in 0*g - 48/5*g**4 - 4/5*g**2 - p*g**5 + 6*g**3 + 0 = 0?
-2, 0, 1/4
Let d(t) be the third derivative of -t**6/120 + t**5/60 + t**4/6 - 2*t**3/3 + 32*t**2. Let d(z) = 0. What is z?
-2, 1, 2
Let p(r) = r**3 + 4*r**2 - 7. Let f be p(-3). Suppose t + 1 + 3*t - f*t + t**3 + t + 3*t**2 = 0. What is t?
-1
Let k be 0/(0 + 2 + 0). Suppose 2*v = -2*v, k = -4*z + 2*v. Let -2/7*b**3 - 2/7*b**2 + 0*b + z = 0. What is b?
-1, 0
Let d(b) be the first derivative of -2*b**4 - 16*b**3/3 - 5*b**2 - 2*b - 8. Suppose d(x) = 0. What is x?
-1, -1/2
Let m(y) be the second derivative of -y**4/42 - 2*y**3/21 - y**2/7 + 3*y. Factor m(l).
-2*(l + 1)**2/7
Let z(b) be the second derivative of -b**5/60 + b**4/12 + 3*b**2/2 - 3*b. Let v(f) be the first derivative of z(f). Factor v(x).
-x*(x - 2)
Let u = -21 - -23. Let b(a) be the first derivative of 1/2*a**u - 1/3*a**3 + 0*a + 1. Find w such that b(w) = 0.
0, 1
Let k(q) be the second derivative of q**5/20 - q**4/4 + 2*q**2 - 2*q. Solve k(n) = 0.
-1, 2
Let k(n) = n + 10. Let h be k(-7). Suppose 4*x + 9 = 3*q, -h*q = -0*x + 5*x - 9. Factor 0 + 0*u - 1/2*u**4 + 0*u**2 + 1/2*u**q.
-u**3*(u - 1)/2
Let y(f) = -3*f**3 + f. Let s(c) = -19*c**3 + c**2 + 7*c. Let i(o) = 6*s(o) - 39*y(o). Determine l, given that i(l) = 0.
-1, 0
Suppose 0*r**2 + 2/7*r - 2/7*r**3 + 0 = 0. Calculate r.
-1, 0, 1
Suppose j = -3*x, 2*j = 3*j + 2*x - 2. Suppose -7 + 2*c**3 + j + 1 = 0. Calculate c.
0
Let p(u) be the third derivative of 0*u - 1/6*u**4 - 1/30*u**5 + 1/30*u**6 + 1/105*u**7 + 0 + 0*u**3 + u**2. Factor p(w).
2*w*(w - 1)*(w + 1)*(w + 2)
Let n be 3 + 6/(0 + 3). Suppose 5*c = -2*u + 20, n*u - 2*c - 3*c = -20. Factor 0 + u*z - 2/5*z**4 - 1/5*z**3 - 1/5*z**5 + 0*z**2.
-z**3*(z + 1)**2/5
Let d(f) be the second derivative of f**10/75600 + f**9/18900 + f**8/16800 + 5*f**4/12 - 5*f. Let y(t) be the third derivative of d(t). Solve y(h) = 0 for h.
-1, 0
Let y(f) be the first derivative of -2*f**5/85 - 2*f**4/17 - 8*f**3/51 - 20. Find j, given that y(j) = 0.
-2, 0
Let q = -2 - -18. Let r be 2 + 9/((-108)/q). Factor 2/3*f**2 - 4/3*f + r.
2*(f - 1)**2/3
Let b(o) be the first derivative of 2*o**3 + 5*o**2 + 4*o + 5. Factor b(s).
2*(s + 1)*(3*s + 2)
Determine r so that 3/5*r + 9/5*r**3 - 3/5*r**4 - 9/5*r**2 + 0 = 0.
0, 1
Suppose 3*a + 16 = 7*a. Find d, given that -6*d**2 - 20*d**3 + 65*d**4 + 43*d**a + 17*d**3 = 0.
-2/9, 0, 1/4
Let b be (6/15)/(3/30). Let w(j) be the first derivative of -2/3*j**3 + 14/45*j**5 + 4/9*j + 5/18*j**b - 5/9*j**2 - 1. Solve w(m) = 0 for m.
-1, 2/7, 1
Suppose 2*h - 2 = 4*s, 3*h - 3 = 3*s - 0*h. Let z(n) be the first derivative of -2 + 1/2*n**2 + s*n - 1/3*n**3. Solve z(x) = 0 for x.
0, 1
Let s = -13 + 12. Let t = -1 - s. Solve 0*r**4 + 0*r - 1/5*r**5 + t + 1/5*r**3 + 0*r**2 = 0.
-1, 0, 1
Suppose 4*l - 5*a + 3 = -14, -a = -5. Suppose l + 8 = 5*u. Factor 2/3*h**3 + 2/3 + u*h + 2*h**2.
2*(h + 1)**3/3
Let j be (-3)/(-4) - (252/48 - 9). Find r such that 1 - 7/2*r**4 + 5/2*r**2 + j*r - 9/2*r**3 = 0.
-1, -2/7, 1
Let x(q) be the third derivative of -q**8/12 - 53*q**7/105 - 77*q**6/60 - 53*q**5/30 - 17*q**4/12 - 2*q**3/3 - 23*q**2. Determine p, given that x(p) = 0.
-1, -1/2, -2/7
Factor 5*s**4 - 8