*2 - 15*q + q**2. Let h(s) = -1. Let x(u) = t*h(u) - a(u). Solve x(r) = 0 for r.
-2, -1
Let l = -44 - -47. Suppose l*o = -9*o. Factor 0 + o*f + 1/2*f**2.
f**2/2
Let g(c) = c**4 + 7*c**3 - 40*c**2 + 35*c - 6. Let p(b) = -2*b**4 - 6*b**3 + 40*b**2 - 34*b + 4. Let z(q) = 2*g(q) + 3*p(q). Factor z(t).
-4*t*(t - 2)*(t - 1)*(t + 4)
Let g(x) = -x**3 - 53*x**2 + 164*x - 222. Let z be g(-56). Determine k so that -2/7*k**4 + 2/7*k**z - 2/7*k**3 + 0 + 2/7*k**5 + 0*k = 0.
-1, 0, 1
Let x = 158/11 + -401/44. Let m be (-1)/(-5) - 76/(-20). Solve 1 - 49/4*v**5 + 17/4*v**2 + 73/4*v**3 - 6*v - x*v**m = 0.
-1, 2/7, 1
Suppose 35*t - 53*t = 0. Let l(j) be the first derivative of 0*j + 1/20*j**5 + 0*j**4 - 5 - 1/12*j**3 + t*j**2. Solve l(y) = 0.
-1, 0, 1
Let a = 35837/3 - 11943. Factor -16/3*u**3 + 0 - 28/3*u**2 + a*u.
-4*u*(u + 2)*(4*u - 1)/3
Suppose 0 = -z + 5*w + 22, w - 4*w = z + 10. Let j = -2864/5 + 573. Factor 0*q + 0 + 1/5*q**4 - j*q**5 + 2/5*q**3 + 0*q**z.
-q**3*(q - 2)*(q + 1)/5
Let a(h) = -h**3 - 12*h**2 + 11*h - 5. Let u be a(-13). Factor 24*s**4 + 29*s**3 - 45*s**2 - 29*s**4 + u*s**3.
-5*s**2*(s - 9)*(s - 1)
Let 11/3*i**3 + 0*i + 0 + 1/3*i**5 + 0*i**2 + 4*i**4 = 0. Calculate i.
-11, -1, 0
Let k = -1 + 13. Suppose 23*s - 17*s = k. Determine r, given that 8/3*r**3 + 0 + 10/3*r**s + 4/3*r + 2/3*r**4 = 0.
-2, -1, 0
Let t = 642001/173 + -3711. Let f = 2591/346 - t. Factor -6*x**2 - 3/2 - f*x.
-3*(x + 1)*(4*x + 1)/2
Let c = 264 - 260. Let h(x) be the first derivative of -1/5*x**5 - 1/4*x**c + 0*x + 1/2*x**2 + 5 + 1/3*x**3. Factor h(v).
-v*(v - 1)*(v + 1)**2
Suppose 21*a - 1/3*a**2 + 0 = 0. What is a?
0, 63
Let n(s) be the third derivative of s**7/7560 - s**5/90 - 5*s**4/8 + 2*s**2. Let y(b) be the second derivative of n(b). What is h in y(h) = 0?
-2, 2
Factor 1/2*z**3 + 3526*z - 85*z**2 + 7396.
(z - 86)**2*(z + 2)/2
Let s(y) be the first derivative of y**6/2 + 9*y**5/5 - 69*y**4/4 + 33*y**3 - 21*y**2 - 117. Factor s(w).
3*w*(w - 2)*(w - 1)**2*(w + 7)
Let k(p) = 4*p - 5*p + p**3 + 1 + 5*p - 4 - 2*p**2. Let v be k(2). Solve -34*l**2 - 27*l + v*l**4 - 18*l - 35*l**3 + 109*l**2 = 0.
0, 1, 3
Let f(c) be the third derivative of -3*c**8/112 + 2*c**7/35 + 17*c**6/40 - 9*c**5/10 - 5*c**4/2 + 4*c**3 - 2*c**2 - 1. Let f(r) = 0. What is r?
-2, -1, 1/3, 2
Let f(h) be the first derivative of -9/28*h**4 + 15 - 1/14*h**6 + 0*h - 1/7*h**3 + 0*h**2 - 9/35*h**5. Factor f(z).
-3*z**2*(z + 1)**3/7
Factor 7303*r**3 - 7305*r**3 - 4 + 2*r**2 + 4.
-2*r**2*(r - 1)
Let v(y) = 4*y**3 + 24*y**2 + 41*y. Suppose -3*f + 4*f + 2 = -2*g, -2 = -4*g - 5*f. Let c(s) = 2*s**3 + 12*s**2 + 20*s. Let p(k) = g*v(k) + 5*c(k). Factor p(w).
2*w*(w + 3)**2
Let i(m) = 21*m**2 - 2*m + 1. Let k be i(1). Suppose -k = -3*s + f, -10 = -3*s - 0*f - f. Factor -s*y - 7*y**2 + 4*y**2 + 2*y.
-3*y*(y + 1)
Let u = 32860 + -32859. Let m be 5/2 + (2 - 3). Factor -u - 7/2*l - m*l**2.
-(l + 2)*(3*l + 1)/2
Let p(a) be the third derivative of -a**8/2688 + a**7/280 + 3*a**6/320 - 7*a**5/240 - 80*a**2. Suppose p(n) = 0. Calculate n.
-2, 0, 1, 7
Let r(m) be the second derivative of -m**5/10 + 31*m**4/6 - 280*m**3/3 + 588*m**2 - 300*m. Factor r(q).
-2*(q - 14)**2*(q - 3)
Determine m so that -7/4*m**3 + 0 + 15/4*m + 8*m**2 = 0.
-3/7, 0, 5
Let o be 3/(5 + -2) + 1. Find g such that 2*g**2 + o + g**4 - g**3 - 260*g - 5*g**2 + 261*g = 0.
-1, 1, 2
Solve 14*w**2 - 23*w**2 - 6*w**3 + 3*w**4 + 12*w + 5 + 4 + 3 = 0 for w.
-1, 2
Let r = -1/57 - -7/38. Let r*x**2 + 1/2*x + 1/3 = 0. Calculate x.
-2, -1
Let k be 165/35 + (-2)/(-7). Suppose z - 15 = -4*o, 3*z + k*o - 12 = 4*z. Factor 16 + 4*i**4 + 56*i + 60*i**2 + 26*i**z + 3*i**4 - 3*i**4.
2*(i + 2)**3*(2*i + 1)
Let h be ((-57)/(-12))/(((-18)/(-40))/(-9)). Let l = -90 - h. Suppose 1/3*b**3 + 29/3*b**4 + 0*b - 2/3*b**2 - 28/3*b**l + 0 = 0. Calculate b.
-1/4, 0, 2/7, 1
Let a be 8/(-3)*(-33)/22. Let b(v) be the second derivative of -5/24*v**3 + 1/4*v**2 - 6*v - 1/80*v**5 + 1/12*v**a + 0. Suppose b(d) = 0. What is d?
1, 2
Suppose -5*t + 30 = 3*x - 20, 2*t = 5*x - 73. Let v = 15 - x. Solve -4/7*u**3 + 0 + 2/7*u**5 + 2/7*u + 0*u**4 + v*u**2 = 0.
-1, 0, 1
Suppose 5*o - 11*o + 12 = 0. Factor 3*x**4 + 59*x**3 - 2*x**2 - 6 - 56*x**3 - 8*x - 7*x - 7*x**o.
3*(x - 2)*(x + 1)**3
Suppose 3*r + 5*g = 11, 2*r + g - 3 = 2. Let i(c) be the first derivative of 10 + 15*c**r - 45*c - 5/3*c**3. Let i(s) = 0. Calculate s.
3
Let g(v) = v**4 - 2*v**3 - v - 1. Let f(k) = 35*k**4 - 95*k**3 + 45*k**2 + 105*k - 300. Let u(m) = -f(m) + 30*g(m). Determine b, given that u(b) = 0.
-2, 3
Let r(x) be the third derivative of 1/28*x**4 + 0 + 1/105*x**5 + 1/21*x**3 - 16*x**2 + 0*x. Factor r(n).
2*(n + 1)*(2*n + 1)/7
Let h(q) be the third derivative of q**5/120 + 37*q**4/48 + 3*q**3 + 179*q**2 + 2*q. Factor h(c).
(c + 1)*(c + 36)/2
Let y(v) be the first derivative of -v**3/3 - 5*v**2/2 + 26*v + 5. Let a be y(-8). Let -1/2*c**a + 0 - 1/4*c - 1/4*c**3 = 0. What is c?
-1, 0
Let c(g) be the second derivative of 1/48*g**4 + 0 + 16*g - 1/24*g**3 - 3/4*g**2. Suppose c(v) = 0. What is v?
-2, 3
Let a(u) = 3*u**5 + 34*u**4 + 37*u**3 - 28*u**2 - 40*u - 2. Let v(f) = f**5 - 2*f**4 - f**3 - f**2 + 1. Let l(p) = -a(p) - 2*v(p). Let l(q) = 0. Calculate q.
-4, -2, -1, 0, 1
Let q(m) be the second derivative of m**6/40 + m**5/40 - m**4/4 - 14*m**3/3 - 3*m. Let n(g) be the second derivative of q(g). Factor n(u).
3*(u + 1)*(3*u - 2)
Let c(l) be the third derivative of 0*l**4 + 0*l**3 + 0 + 1/252*l**8 + 32*l**2 + 11/630*l**7 + 0*l**5 + 1/60*l**6 + 0*l. Suppose c(y) = 0. Calculate y.
-2, -3/4, 0
Suppose 3*j = -t + 86, -5*t + 21 = j - 3. Let h = j - 173/6. Determine r, given that -1/3 + 1/2*r - h*r**2 = 0.
1, 2
Suppose -p + 4*z = 8, 5*p + 2*z - 33 = -7. Let b(d) be the second derivative of 0 + 0*d**3 + 1/14*d**2 - 1/84*d**p - 4*d. Find c, given that b(c) = 0.
-1, 1
Let x = 169/489 + -2/163. Solve -x*n**3 + 1/3*n + 1/3*n**2 - 1/3 = 0 for n.
-1, 1
Let u(b) be the third derivative of -b**8/420 + b**6/90 + 3*b**3/2 + 22*b**2. Let i(q) be the first derivative of u(q). Factor i(h).
-4*h**2*(h - 1)*(h + 1)
Let x(p) be the first derivative of p + 1/4*p**4 - 1/3*p**3 + 27 - 1/2*p**2. Determine z so that x(z) = 0.
-1, 1
Suppose -59*x + 96*x = 148. Let -4/9*k - 2/9*k**5 + 0 - 2/9*k**2 + 2/3*k**3 + 2/9*k**x = 0. Calculate k.
-1, 0, 1, 2
Let f = 21115/28148 - 1/7037. What is v in 0 - f*v + 15/8*v**2 + 21/8*v**3 = 0?
-1, 0, 2/7
Suppose 3*a - 1 = 5*h, -3*a - 6 = -7*a + 2*h. Suppose -a*p = 4*o - 20, 0*p - 3*o = 2*p - 16. Factor 0*v**p - 4/5*v + 4/5*v**3 - 2/5*v**4 + 2/5.
-2*(v - 1)**3*(v + 1)/5
Let s(l) = 2 + 62*l**4 - 63*l**4 - 1. Suppose h + 0 = -1. Let w(n) = -7*n**4 + 9*n**2 - 6*n + 4. Let o(z) = h*w(z) + 4*s(z). Factor o(i).
3*i*(i - 1)**2*(i + 2)
Let x(t) be the third derivative of 0*t**3 + 0 + 1/300*t**6 + 3/200*t**5 + 0*t + 19*t**2 + 1/120*t**4. What is l in x(l) = 0?
-2, -1/4, 0
Factor -57255*u**2 + 104*u + 57330*u**2 - u - 45*u**3 + 5*u**4 + 22*u.
5*u*(u - 5)**2*(u + 1)
Let n(m) be the third derivative of 0*m**3 - 1/42*m**5 + 11*m**2 + 0*m + 3/245*m**7 + 1/84*m**4 + 1/140*m**6 + 0. Suppose n(d) = 0. Calculate d.
-1, 0, 1/3
Let p(o) be the third derivative of -o**7/525 + o**6/100 + o**5/25 - 2*o**4/15 - 309*o**2 - 1. Solve p(v) = 0.
-2, 0, 1, 4
Let n = -2 + 1. Let z(x) = 2*x**2 - x - 1. Let r be z(n). Factor 18*q**3 + 14*q**4 + 6*q + 48*q**3 + 4*q**4 + 38*q**r.
2*q*(q + 3)*(3*q + 1)**2
Suppose -2*r - 5*w + 25 = 0, 4*r + 3*w - 15 = 2*r. Suppose 4*k = 6 + 2. Factor 24*y**4 - 10*y**5 - 5*y**3 - 2*y**3 - 11*y**3 + r*y**3 + 4*y**k.
-2*y**2*(y - 1)**2*(5*y - 2)
Let a(w) be the third derivative of w**8/1344 + 41*w**7/840 - 7*w**6/80 - 299*w**2. Factor a(b).
b**3*(b - 1)*(b + 42)/4
Suppose -1287*s + 10 - 101 + 1279*s - 5 + 4*s**2 = 0. What is s?
-4, 6
Suppose 0 = 4*m - 0 - 16. Suppose -j - 9 = -m*j. Factor -2 + 0*h**3 + 4*h**2 - 2*h**5 + 0 - 2*h**4 - 2*h + 4*h**j.
-2*(h - 1)**2*(h + 1)**3
Let j(p) be the second derivative of p**5/50 - 2*p**4/15 - p**3/15 + 4*p**2/5 - p + 203. Factor j(u).
2*(u - 4)*(u - 1)*(u + 1)/5
Let t(g) be the second derivative of 3*g**5/140 + 2*g**4/7 + 6*g**3/7 + g - 20. Factor t(p).
3*p*(p + 2)*(p + 6)/7
Let w(b) = -14*b**2 - 76*b - 24. Let l(g) = 3*g**2 - 1. Let t(s) = -8*l(s) - w(s). Factor t(o).
-2*(o - 8)*(5*o + 2)
Let y(c) = 6*c**2