1, 0
Let j = -407 - -412. Solve 14/5*z**3 + 4/5*z**2 + 0*z**4 - 16/5 - 24/5*z - 2/5*z**j = 0 for z.
-2, -1, 2
Let w be ((-4)/5)/((-8)/(-80)*(-1 + -12)). Factor -w*f - 2/13*f**4 + 0 - 4/13*f**3 + 14/13*f**2.
-2*f*(f - 1)**2*(f + 4)/13
Let l(o) = o**2 - 10*o + 29. Let a be l(5). Factor q + q**2 - 1 + 217*q**a + 1 - q**3 - 218*q**4.
-q*(q - 1)*(q + 1)**2
Let o(r) = -r**3 - 2*r**2 + 3*r + 8. Let n(h) = h. Suppose -2 = -v, -2*k - 3*k - 27 = -v. Let u(g) = k*n(g) - 5*o(g). Determine c, given that u(c) = 0.
-2, 2
Let w(v) = 13*v**2 - 13*v + 7. Suppose 9*k - 8 = -26. Let h(l) = -4*l**2 + 4*l - 2. Let b(i) = k*w(i) - 7*h(i). Suppose b(a) = 0. What is a?
0, 1
Let z(m) = 15*m**5 - 25*m**4 + 90*m**3 - 75*m**2 + 25*m. Let x(n) = -2*n**5 - 3*n**4 - n**2. Let p(g) = 5*x(g) + z(g). Solve p(w) = 0.
0, 1, 5
Let v(w) = 2*w**2 - 623*w + 624. Let c be v(1). Let f(z) = z**2 + 4*z - 5. Let j be f(-5). What is l in j*l + 1/2*l**c - 1/2*l**5 + l**2 - l**4 + 0 = 0?
-2, -1, 0, 1
Factor 42*r**3 + 0*r - 18*r**4 + 6*r**5 - 32*r**4 - 6*r**2 - 3*r + 12*r**5 - r.
2*r*(r - 1)**3*(9*r + 2)
Let s(h) be the first derivative of -4*h**3/3 + 12*h**2 + 3. Determine f so that s(f) = 0.
0, 6
Let x be (8 + 1)*1/(-1 + -2). Let z(s) = -s**2 + 37*s + 31. Let d(v) = -18*v - 15. Let m(i) = x*z(i) - 7*d(i). Factor m(n).
3*(n + 1)*(n + 4)
Let n = 10764 + -31964/3. Let a = n + -109. Factor a*c**2 + 1/3*c**3 + 0 + 0*c.
c**2*(c + 1)/3
Suppose r = 2*r - 3*j - 31, -5*r + 167 = -3*j. Factor -41*w**3 + 6 - 10*w - r*w**3 + 2*w**2 + 77*w**3.
2*(w - 1)**2*(w + 3)
Let b be (-42)/56 + 980/1008. Find j such that -16/9 - b*j**2 + 4/3*j = 0.
2, 4
Let a(i) be the third derivative of i**7/525 + 7*i**6/300 - 17*i**5/150 + 3*i**4/20 + 16*i**2. Factor a(o).
2*o*(o - 1)**2*(o + 9)/5
Let l(a) be the first derivative of a**4/4 + 7*a**3/3 - 145*a**2/2 + 425*a + 330. Suppose l(k) = 0. Calculate k.
-17, 5
Let x(t) = 84*t**2 + 1808*t + 704. Let o(a) = 17*a**2 + 362*a + 141. Let h(p) = -16*o(p) + 3*x(p). What is z in h(z) = 0?
-18, -2/5
Let h be 170/(-280) + (-18)/(-21). Factor -1/4*k**5 + 0*k**3 + 0 + 0*k**2 - h*k**4 + 0*k.
-k**4*(k + 1)/4
Let 0*z + 0*z**4 - 1/2*z**2 - 1/4*z**5 + 0 + 3/4*z**3 = 0. What is z?
-2, 0, 1
Suppose -974/7*j**3 - 78*j**4 - 726/7*j**2 - 14*j**5 - 32*j - 24/7 = 0. What is j?
-3, -1, -2/7
Suppose 24*j - 72 = 24. Let m(t) be the first derivative of -2*t**3 - 1/20*t**5 - 3 - 4*t + j*t**2 + 1/2*t**4. Solve m(k) = 0.
2
Let c(f) be the third derivative of f**6/600 - f**5/300 - f**4/15 + 2*f**3/5 - f**2 + 2. Factor c(m).
(m - 2)**2*(m + 3)/5
Suppose 4*l - 3*t + 4 = 0, 52*l - 14 = 47*l - t. Factor 6/7*m**l + 0 + 4/7*m**3 + 0*m - 2/7*m**4.
-2*m**2*(m - 3)*(m + 1)/7
What is m in -214 + 50 - 5*m**2 - 196 + 180*m + 20 = 0?
2, 34
Factor -2/5*w + 1/5*w**4 + 2/5*w**3 + 0 - 1/5*w**2.
w*(w - 1)*(w + 1)*(w + 2)/5
Let z(d) be the first derivative of d**3/3 - 7*d**2/2 - 18*d + 358. Solve z(k) = 0.
-2, 9
Suppose 3*q - 5*i - 77 = 0, 0*i + 43 = 2*q - 5*i. Find t such that -78*t**4 + 39*t**4 + 5*t**2 + q*t**4 = 0.
-1, 0, 1
What is s in 234*s**3 - 226*s**3 - 9*s**2 - 5*s**2 + 6*s = 0?
0, 3/4, 1
Let x(y) be the second derivative of -3*y**5/100 + y**4/10 + 5*y**3/2 - 15*y**2 - 173*y. Factor x(t).
-3*(t - 5)*(t - 2)*(t + 5)/5
Let p(b) be the second derivative of -6*b + 1/7*b**2 + 1/147*b**7 + 1/21*b**4 - 1/35*b**6 - 1/7*b**3 + 1/35*b**5 + 0. Factor p(o).
2*(o - 1)**4*(o + 1)/7
Factor -6 + 9*g**3 - 39/2*g**2 - 3/2*g**4 + 18*g.
-3*(g - 2)**2*(g - 1)**2/2
Suppose 47*m + 3*m**2 + 4*m**3 - 31*m**2 - 48 + 8*m + 9*m = 0. What is m?
2, 3
Factor 57 - 2*b - 10*b + b**2 - 4*b - 15 - b.
(b - 14)*(b - 3)
Let j(x) = -31*x**4 - 23*x**3 - 3*x**2 + 11*x - 11. Let b(l) = 3*l**4 + l**3 - l**2 - l + 1. Let c(a) = -22*b(a) - 2*j(a). Factor c(d).
-4*d**2*(d - 7)*(d + 1)
Let p be (-8)/(-32) - 2/8. Let b(k) be the first derivative of p*k + 0*k**4 + 1/6*k**3 - 1/10*k**5 - 1 + 0*k**2. Determine w, given that b(w) = 0.
-1, 0, 1
Let h be (-3)/(4 + -1) - (-7 + -1). Let a(c) be the second derivative of 0 - c**2 + h*c - 1/6*c**4 - 2/3*c**3. Factor a(d).
-2*(d + 1)**2
Let m(z) = -8*z**2 - 4*z + 7. Suppose 0 = -3*f - 0*f - 9. Let o(w) = -w**2 - w + 1. Let k(p) = f*m(p) + 21*o(p). Determine c so that k(c) = 0.
0, 3
Suppose v - 24 = -32. Let p be ((-6)/v)/(-2 + 63/28). What is j in 2/5*j**2 + 0 + 0*j + 1/5*j**4 - 3/5*j**p = 0?
0, 1, 2
Let b be 4/(-22) - 79/(-11). Let o be (-14)/(-2) + (5 - b). Factor o*q**3 - 9*q**2 - 20 + 13*q**2 + q**2 - 20*q.
5*(q - 2)*(q + 1)*(q + 2)
Let j(c) be the second derivative of c**7/63 - c**6/15 + c**5/15 + 16*c - 2. Factor j(h).
2*h**3*(h - 2)*(h - 1)/3
Let l(r) be the first derivative of -r**8/560 + 3*r**7/280 - r**6/60 + 20*r**3/3 - 20. Let q(b) be the third derivative of l(b). Find w such that q(w) = 0.
0, 1, 2
Let p(q) = -1582*q + 12658. Let r be p(8). Let c be (-3)/((-15)/(-2)) - -2. What is u in 0 - c*u - 4/5*u**3 + 12/5*u**r = 0?
0, 1, 2
Let f(n) be the second derivative of 11*n**5/15 - 19*n**4/9 - 4*n**3/3 - n - 59. Factor f(x).
4*x*(x - 2)*(11*x + 3)/3
Let v be 10/(-15) + (-160)/(-168). Find l, given that 0 + 8/7*l**3 + 0*l + v*l**5 + 0*l**2 - 8/7*l**4 = 0.
0, 2
Let b(r) = -2*r**2 + 70*r + 4. Let q(y) = -y**2 - y - 2. Let k(g) = -b(g) - 2*q(g). Factor k(f).
4*f*(f - 17)
Let l(f) = 2*f**4 - 14*f**2 - 8*f + 2. Let y(z) = -z**4 - z**2 + 1. Let v(b) = l(b) - 2*y(b). Find o such that v(o) = 0.
-1, 0, 2
Factor 0 - 16/5*h - 2/5*h**2.
-2*h*(h + 8)/5
Let z(f) be the first derivative of -2*f**3/15 + 43*f**2/5 + 88*f/5 + 60. What is v in z(v) = 0?
-1, 44
Let o be -3 + 6 - (-3 + (-4)/(-2)). Let l(s) be the second derivative of 0*s**o + 1/105*s**7 + 0*s**3 - 4*s + 0*s**2 + 0 - 4/75*s**6 + 0*s**5. Factor l(x).
2*x**4*(x - 4)/5
Suppose -3*y - 6 = -2*h, -2*h - 2 = 3*h + y. Let w = h + 5. Find c such that 3*c**5 + 0*c**2 + 2*c - 6*c**4 - w*c + 6*c**2 = 0.
-1, 0, 1
Let t(b) = -b**4 + 31*b**3 + 11*b**2 - 24*b - 17. Let o(k) = -k**4 + 21*k**3 + 7*k**2 - 16*k - 11. Let v(r) = -7*o(r) + 5*t(r). Factor v(g).
2*(g - 1)*(g + 1)*(g + 2)**2
Let o(g) be the first derivative of -7*g**5/100 - 2*g**4/5 - 2*g**3/5 - 3*g**2 + 8. Let j(i) be the second derivative of o(i). Factor j(t).
-3*(t + 2)*(7*t + 2)/5
Let a(v) be the third derivative of -v**5/30 - 5*v**4/6 + 63*v**2. Solve a(w) = 0.
-10, 0
Suppose 3*s - 40 = 5*o - 0*s, 2*s - 8 = o. Let v be (-6)/4 - (3 + 42/o). Determine d so that v*d**3 + 0 + 1/2*d + 5/4*d**2 = 0.
-1, -2/3, 0
Let b be (48/3)/(10/15). Let x = -1 + 2. Factor 10*z**3 + 14*z + 2*z + 2*z + x + b*z**2 + 3.
2*(z + 1)**2*(5*z + 2)
Let x(z) = -4*z**3 + 4*z**2 - 4. Let q(o) = o**2 - o + 1. Let s = 4 - 3. Let u = 97 + -93. Let i(f) = s*x(f) + u*q(f). Suppose i(g) = 0. What is g?
0, 1
Let f(n) = 6*n**2 + 3*n - 2. Let z(t) = t**2 - 1. Let x(p) = -6*p**2 + 5. Let m(d) = x(d) + 5*z(d). Let b(a) = 2*f(a) + 14*m(a). Let b(h) = 0. What is h?
1, 2
Let h = 4/5615 - -16829/22460. Let -9/4*p**3 - 1/4 + 5/4*p - h*p**2 = 0. Calculate p.
-1, 1/3
Let o be (1 + 0)*5 + -1. Suppose -q + 130 = o*z + z, -10 = 2*q. Factor 6*a**3 - 40*a**2 - z + 28*a - 9 + 50*a.
2*(a - 3)**2*(3*a - 2)
Let y(x) be the first derivative of x**8/280 + x**7/280 - x**6/60 - x**5/40 + x**3 - 13. Let q(n) be the third derivative of y(n). Factor q(z).
3*z*(z - 1)*(z + 1)*(2*z + 1)
Let v(c) = c + 1. Let x be v(3). Let k be 0*(8/36)/(x/(-6)). Factor 1/2*t**3 + 1/2*t**4 + 0*t - 1/2*t**5 + k - 1/2*t**2.
-t**2*(t - 1)**2*(t + 1)/2
Let h(q) be the first derivative of q**7/14 - 3*q**5/5 - q**4/2 + 3*q**3/2 + 3*q**2 + 9*q - 9. Let u(p) be the first derivative of h(p). Factor u(k).
3*(k - 2)*(k - 1)*(k + 1)**3
Suppose 2*u + 3*l = -10, 4*l = 6*u - u + 25. Let n = u - -16. Factor -m**2 + 52*m - n*m**2 - 4*m**2 - 12.
-4*(m - 3)*(4*m - 1)
Determine i, given that 94/3*i**2 + 75 - 16/3*i**3 + 1/3*i**4 - 80*i = 0.
3, 5
Factor -3*b**2 + 6*b**4 - 9*b**3 - 1669*b**5 + 1672*b**5 + 6*b - 3*b**4.
3*b*(b - 1)**2*(b + 1)*(b + 2)
Factor -52/5*n**2 + 0 - 4/5*n - 213/5*n**3 - 121/5*n**5 - 286/5*n**4.
-n*(n + 1)**2*(11*n + 2)**2/5
Let b(m) be the second derivative of m**6/36 - 17*m**5/60 + 73*m**4/72 - 11*m**3/9 - m**2 + 471*m + 1. What is a in b(a) = 0?
-1/5, 2, 3
Let p(b) be the second derivative of -b**7/189 + 11*b**6/135 - 19*b**5/90 + b**4/6 - 471*b. Solve p(n) = 0.
0, 1, 9
Factor 3/2*i**3 + 37/2*i**2 + 