**4/16 - 55*t**3/24 + 56*t**2. What is n in h(n) = 0?
-1, 55
Let l(f) = -7*f**3 - 3*f**2 + 4*f + 3. Let z(j) = -2*j**3 - j**2 + 1. Let n(s) = 2*l(s) - 6*z(s). Determine i, given that n(i) = 0.
-2, 0, 2
Determine p, given that 3 + 0*p**3 - 1/2*p**5 + 7*p**2 - 2*p**4 + 17/2*p = 0.
-3, -1, 2
Let g(q) = 27*q**2 + 184*q - 31. Let c be g(-7). Factor 32/5*o**2 + 0 + 28/5*o**3 - 64/5*o + 4/5*o**c.
4*o*(o - 1)*(o + 4)**2/5
Let f(l) be the third derivative of 0 + 1/4*l**3 - 5/32*l**4 + 26*l**2 - 1/160*l**6 + 0*l + 1/20*l**5. Suppose f(c) = 0. Calculate c.
1, 2
Suppose 46*i - 43*i = 39. Find h, given that -h**3 + i*h**2 - h + h**4 + 2*h**3 - 5*h**2 - 9*h**2 = 0.
-1, 0, 1
Factor -5*z**3 - 16 - 345*z - 134 - 110 - 90*z**2.
-5*(z + 1)*(z + 4)*(z + 13)
Let y(g) = 7*g**4 - 6*g**3 + 9*g**2 - 5*g + 50. Let r(q) = -q**4 - q**2 + q - 10. Let j(h) = -10*r(h) - 2*y(h). Let j(o) = 0. What is o?
0, 1, 2
Suppose 5 = 2*n - 2*l + 1, 3*n = 2*l + 10. Suppose 0 = n*h - 13 - 5. Factor 4*s**4 - 4*s**h - 8*s**2 + 87 - 87.
4*s**2*(s - 2)*(s + 1)
Suppose 8*l = -0*l + 16. Determine z so that z - 12*z**2 - 12*z**l + 12*z**2 + 4*z**3 + 12 - 5*z = 0.
-1, 1, 3
Let a = 4578 + -22874/5. Factor 0 + a*x**3 + 0*x - 64/5*x**2 - 1/5*x**4.
-x**2*(x - 8)**2/5
Let z(f) be the third derivative of f**6/36 - 29*f**5/90 + 19*f**4/18 + 73*f**2. Factor z(a).
2*a*(a - 2)*(5*a - 19)/3
Factor 100/3 - 10/3*w - 2/3*w**2.
-2*(w - 5)*(w + 10)/3
Let p(s) be the second derivative of 1/14*s**3 + 1/28*s**4 + 0 - 1/70*s**6 - s - 3/140*s**5 + 0*s**2. Factor p(g).
-3*g*(g - 1)*(g + 1)**2/7
Let b = 24 + -21. Let t be (b/(-2))/((735/20)/(-7)). Find l, given that -2/7 + 4/7*l - t*l**2 = 0.
1
Suppose -18*d - 20 = -26*d + 4. Factor -2/5*q**2 + 0 + 0*q + 2/5*q**d.
2*q**2*(q - 1)/5
Let g = -1496 + 1496. Factor g*y**2 - 1/2*y**3 + 3/2*y + 1.
-(y - 2)*(y + 1)**2/2
Let k(i) be the third derivative of 0*i**7 + 0*i**5 + 3*i**2 + 0*i**6 + 0*i**3 + 0*i**4 + 1/1176*i**8 + 0*i + 0. Factor k(b).
2*b**5/7
What is k in 0*k**4 + 2 - 1/2*k**2 + 1/4*k**5 + 3*k - 7/4*k**3 = 0?
-2, -1, 2
Let m be -8*11/(-264)*(-4)/(32/(-6)). Factor 0 - 5/4*j**3 - 1/2*j**4 + m*j**2 + 3/2*j.
-j*(j - 1)*(j + 2)*(2*j + 3)/4
Let x(a) = a**2 + a. Let b be x(1). Let d be b/8 + 940/(-560) - -2. Solve -6/7*i - d - 2/7*i**2 = 0.
-2, -1
Let k = 68 + -65. Let 2*h**3 - 5*h**3 - 40*h**2 + 8*h**k = 0. Calculate h.
0, 8
Let a be 19 - (-978)/(-54) - (-4)/(-6). Suppose -2/9*h**2 - a + 4/9*h = 0. What is h?
1
Let p(k) = -4*k**5 - 8*k**4 - 4*k**3 + 12*k**2 + 20*k. Let l(j) = -6*j**5 - 8*j**4 - 2*j**3 + 11*j**2 + 21*j. Let n(o) = 4*l(o) - 5*p(o). Factor n(y).
-4*y*(y - 2)**2*(y + 1)**2
Let j be 2 + (-3)/(-6)*0 - 2. Let s(x) be the second derivative of 3*x**2 - 5/2*x**3 + 7*x + j + x**4 - 3/20*x**5. Determine f so that s(f) = 0.
1, 2
Let k(g) = -g**2 + 3*g**2 + 7*g + 0 + 3*g + 4. Let a be k(-5). Factor 0 - 4/5*o**3 + 2/5*o**a + 2/5*o**2 + 0*o.
2*o**2*(o - 1)**2/5
Let h(z) be the first derivative of -13*z**4/8 - 3*z**3/2 + 15*z**2/2 - 4*z + 96. Factor h(q).
-(q - 1)*(q + 2)*(13*q - 4)/2
Let i be 4/(-56)*((-113)/(-60) + -2). Let t(w) be the third derivative of 0 - 1/12*w**3 - i*w**5 + 14*w**2 + 0*w - 1/24*w**4. Factor t(o).
-(o + 1)**2/2
Let b(l) be the third derivative of -l**9/120960 + l**7/10080 - 13*l**5/60 - 12*l**2. Let m(p) be the third derivative of b(p). Let m(z) = 0. Calculate z.
-1, 0, 1
Suppose 5*a = u + 10, u - 8 = 5*u - 4*a. Let f(n) be the first derivative of 0*n - 1/16*n**4 + 0*n**5 + 1/24*n**6 + 0*n**2 + u*n**3 - 2. Solve f(k) = 0.
-1, 0, 1
Let p(x) be the second derivative of -x**5/5 - 2*x**4/3 + 2*x**3/3 + 4*x**2 - x - 7. Solve p(j) = 0 for j.
-2, -1, 1
Suppose 0 = -5*z + 13 - 3. Factor -9*h - h**z - h**2 + h + 0*h.
-2*h*(h + 4)
Suppose 7*t - 57 = 6*t - 2*v, v = -2*t + 108. Suppose 5*c + 43 = t. Find u such that 0*u - 1/4*u**c + 0 - 1/2*u**3 - 1/4*u**4 = 0.
-1, 0
Let b(f) = -2*f**3 - 14*f**2 + 38*f - 18. Let x(j) = j**3 + 16*j**2 - 38*j + 18. Let i(m) = -3*b(m) - 4*x(m). Factor i(d).
2*(d - 9)*(d - 1)**2
Let n(j) = -2*j + 9. Let c be n(7). Let w(g) = -g**5 - 2*g**4 - g**3 + 2. Let k(l) = -3*l**5 - 5*l**4 - 2*l**3 + 5. Let r(s) = c*w(s) + 2*k(s). Factor r(p).
-p**3*(p - 1)*(p + 1)
Let b be -2 - (3/12 + (-231)/12). Suppose -4*y - b*y + 4*y = 0. Determine r, given that y + 0*r**2 + 4*r**3 + 16/3*r**4 - 1/3*r = 0.
-1/2, 0, 1/4
Let k(m) be the second derivative of -m**5/30 + 11*m**4/6 - 121*m**3/3 + 1331*m**2/3 - 19*m - 1. Factor k(b).
-2*(b - 11)**3/3
Let y(q) = q + 10. Let w be y(-6). Suppose -2*o + 8 = w. Factor 8/9*k**3 + 2/9*k**4 + 0*k + 2/3*k**o + 0.
2*k**2*(k + 1)*(k + 3)/9
Suppose x = 3*x - 7*x. Factor 8 - t**3 + 2*t - t**2 - t + x*t - 7.
-(t - 1)*(t + 1)**2
Let c(n) = -5*n. Let i be c(3). Let z be (-25)/(-10)*(-12)/i. Determine f so that 6*f - 1 - 7 + 2*f - z*f**2 = 0.
2
Let c be 117/(-120) + (-8)/(-5 - 3). Let n(o) be the third derivative of -6*o**2 + 5/8*o**4 + 0 + 0*o + c*o**6 + 1/5*o**5 + o**3. Factor n(p).
3*(p + 1)**2*(p + 2)
Let a(j) be the first derivative of 5*j**3/6 - 81*j**2/2 + 32*j + 213. Find s, given that a(s) = 0.
2/5, 32
Let h(t) = -19*t**3 - 629*t**2 + 406*t + 242. Let c(x) = -20*x**3 - 630*x**2 + 405*x + 245. Let j(z) = 6*c(z) - 5*h(z). Factor j(u).
-5*(u - 1)*(u + 26)*(5*u + 2)
Let c(p) be the second derivative of -p**6/90 + 7*p**5/60 - 5*p**4/12 + 13*p**3/18 - 2*p**2/3 + 481*p. Factor c(m).
-(m - 4)*(m - 1)**3/3
Factor -63/5 + 3/5*w**2 - 12/5*w.
3*(w - 7)*(w + 3)/5
Let h(k) be the second derivative of -2*k - 2/21*k**7 + 0 + 0*k**6 - 2*k**3 - 4*k**2 + 2/3*k**4 + 4/5*k**5. Solve h(s) = 0 for s.
-1, 1, 2
Let z(j) be the third derivative of -j**6/1080 + j**5/120 - 3*j**3/2 + 23*j**2. Let u(t) be the first derivative of z(t). Factor u(y).
-y*(y - 3)/3
Let f(x) be the first derivative of -x**5/12 + x**4/18 + 5*x**3/18 - x**2/3 + 6*x + 12. Let r(y) be the first derivative of f(y). Solve r(c) = 0.
-1, 2/5, 1
Let s(r) = -13*r**2 - 170*r - 7225. Let y(t) = -16*t**2 - 170*t - 7225. Let f(i) = 5*s(i) - 4*y(i). Factor f(w).
-(w + 85)**2
Suppose -1352/21 - 2/21*b**2 + 104/21*b = 0. Calculate b.
26
Let s(c) be the third derivative of 1/10*c**5 + 0*c**3 + 17*c**2 - 1/12*c**6 + 0 + 0*c - 1/504*c**8 + 1/45*c**7 + 0*c**4. Determine j so that s(j) = 0.
0, 1, 3
Factor 24*l**3 + 101*l - 101*l + 20*l**2 - 136*l**3.
-4*l**2*(28*l - 5)
Determine a, given that 157*a**2 + 101/2*a**3 + 1/2*a**5 + 144 + 240*a + 8*a**4 = 0.
-4, -3, -2
Suppose 8 = 3*d - f, -2 = 3*d + 4*f - 0. Suppose 3*n + d*n = 25. Factor 3*a**3 - n*a - 3*a**2 + 2*a + 0*a**3 + 3 + 0*a**3.
3*(a - 1)**2*(a + 1)
Suppose -14*t + 47 = -51. Let q be 22/(-11) + -1 + 0 + t. Determine n, given that -2/13 - 2/13*n**q + 4/13*n**2 + 0*n**3 + 0*n = 0.
-1, 1
Let r be ((12/(-10))/(-1))/((-34)/((-340)/33)). Solve 32/11*o**2 + 12/11*o**4 + 2/11*o**5 + 18/11*o + 28/11*o**3 + r = 0.
-2, -1
Let z be (-1)/4 - 558/(-1656) - (-38)/92. Factor -c**2 - 1/2*c + 1 + z*c**3.
(c - 2)*(c - 1)*(c + 1)/2
Let h(d) = 6*d**2 - 2*d - 4. Suppose 0 = p + 3*p + 20. Let k(v) = 5*v**2 - 2*v - 3. Let l be -1 + (0 - -2) + 3. Let r(t) = l*h(t) + p*k(t). Factor r(z).
-(z - 1)**2
Let t be 14*2/(-12)*(-51)/595. Let -4/5*a**2 - t*a**3 - 6/5 + 11/5*a = 0. What is a?
-6, 1
Let g be (3 + 0)/(-3)*-5. Let h(v) = -v**3 + 5*v**2 + 2*v - 8. Let a be h(g). What is j in -5*j**a - 3*j**2 + 0*j**4 - j**3 + 6*j**2 + j**4 = 0?
-1, 0, 2
Solve 0 + 416/9*r + 2/9*r**2 = 0.
-208, 0
Let j(p) be the first derivative of p**7/30 - p**6/18 - 22*p**5/15 - 2*p**4 + 15*p**3 + 47. Let k(n) be the third derivative of j(n). Factor k(v).
4*(v - 3)*(v + 2)*(7*v + 2)
Suppose 1352*b - 30 = 1342*b. Determine j so that 1/3 - 2/3*j**b + 4/3*j**2 - 2/3*j**5 - 5/3*j**4 + 4/3*j = 0.
-1, -1/2, 1
Suppose -4 = b - 4*k, -2*k - 2 = -3*b - 4. Let d(q) be the second derivative of 1/66*q**4 + 3*q + b*q**3 + 0 - 1/11*q**2. Factor d(z).
2*(z - 1)*(z + 1)/11
Let b be -1 + -1 + 4 + -2. Let v = b - -4. Solve 2*y**5 - 3*y**2 + y**2 + v*y**4 + 0*y**2 - 2*y**4 - 2*y**3 = 0.
-1, 0, 1
Let t be (-3)/(-8) - (-3)/24. Factor 0*l - 2*l**2 + 5/2*l**3 - t*l**4 + 0.
-l**2*(l - 4)*(l - 1)/2
Let p(g) be the third derivative of -5/12*g**4 + 0*g + 5/6*g**3 + 0 + 1/12*g**5 + 4*g**2. Factor p(c).
5*(c - 1)**2
Factor -672*q + 0*q**2 - 2*q**2 + 30*q - 51200 + 2*q.
-2*(q + 160)**2
Factor -1/2*m**2 - 1 + 1/6*m**4