u + 3)**2/3
Let w(k) = -k**3 - k**2. Let a(d) = 3*d**4 - 12*d**3 - 27*d**2 + 60*d + 72. Let l(t) = -a(t) - 3*w(t). Find v such that l(v) = 0.
-2, -1, 2, 6
Let q be (0 + -1)/(-11 + 1)*(90 - 88). Factor 0*m + 0 + q*m**2.
m**2/5
Let r(x) = 3*x + 4. Let h(g) = 4*g + 3. Let z(j) = -2*h(j) + 3*r(j). Let t be z(6). Factor -3*d**2 + 20 - 20 + t*d.
-3*d*(d - 4)
Let x(t) = t**3 + 21*t**2 + 43*t + 15. Let a(m) = 10*m**3 + 230*m**2 + 475*m + 165. Let g(w) = 4*a(w) - 45*x(w). Suppose g(r) = 0. What is r?
-3, -1
Let v(n) = -n**3 + 5*n**2 - n + 7. Let r be v(5). Factor 7*u**2 + 0*u**4 + 3*u**4 + 6*u**3 - u**r - u**4 + 2*u.
2*u*(u + 1)**3
Let z(k) be the first derivative of -3*k**5/20 - k**4/2 + 3*k**3/2 + 11*k + 12. Let h(d) be the first derivative of z(d). Factor h(t).
-3*t*(t - 1)*(t + 3)
Suppose -2*x + 4*n = -24, -x + 37*n = 32*n - 27. Solve -3/4*b**4 + 0 + 0*b - 3/4*b**5 + 3/4*b**x + 3/4*b**3 = 0 for b.
-1, 0, 1
Suppose -3*r = -4*r + 4. Determine k, given that 10*k**4 + 5*k**2 - 20*k + 6*k**4 + 20*k**3 - 17*k**2 - r = 0.
-1, -1/4, 1
Let l(r) = r + 10. Let n be l(-5). Suppose 3*s + n*a = 12 + 2, -4*s + 10 = -2*a. Let 9/2*j**2 - 3/2*j**4 + 3/2*j**3 + s - 15/2*j = 0. Calculate j.
-2, 1
Let q(y) be the third derivative of y**7/840 - y**5/40 - 5*y**4/12 - 51*y**2. Let v(l) be the second derivative of q(l). Factor v(s).
3*(s - 1)*(s + 1)
Let k(m) = -5*m**3 + 5*m**2 + 18*m - 20. Let d be -2 + (-15)/(-10) + (-3)/2. Let s(g) = 10*g**3 - 10*g**2 - 35*g + 40. Let q(h) = d*s(h) - 5*k(h). Factor q(y).
5*(y - 2)*(y - 1)*(y + 2)
Let v(u) be the second derivative of -5*u - 9/160*u**5 - 29/96*u**4 - 1/240*u**6 - 13/16*u**3 - 9/8*u**2 + 0. Factor v(h).
-(h + 1)*(h + 2)*(h + 3)**2/8
Let n be ((-2)/(-8))/(7/(-28)). Let z be (n/3)/((-4)/72). Factor 2 - 9*s**2 + s**2 + 2*s**3 + 10*s + 0*s - z.
2*(s - 2)*(s - 1)**2
Suppose 0 = -174*j + 590 - 242. Find d, given that 1/6*d**4 - 4/3*d + 0 - d**3 + j*d**2 = 0.
0, 2
What is l in -28/9*l**3 + 20/9*l**4 + 28/9*l - 4/3*l**2 - 8/9 = 0?
-1, 2/5, 1
Let s = -5591/2 - -2818. Determine k so that 0*k + 3*k**2 - 42*k**4 - s*k**5 - 33/2*k**3 + 0 = 0.
-1, 0, 2/15
Let f(z) be the first derivative of z**4/3 - 2*z**3 - 8*z**2 - 22*z - 24. Let x(p) be the first derivative of f(p). Factor x(q).
4*(q - 4)*(q + 1)
Let n(s) be the third derivative of s**6/120 - 7*s**5/60 + s**4/4 + 2*s**2 + 280*s. Factor n(d).
d*(d - 6)*(d - 1)
Let s(i) be the first derivative of 3*i**2 - 5/3*i**3 - 6 - i + 1/2*i**4. Let n(j) = j**3 - j**2 + j + 1. Let p(v) = n(v) - s(v). Factor p(d).
-(d - 2)*(d - 1)**2
Let u(m) be the third derivative of 1/10*m**7 + 1/56*m**8 + 1/8*m**4 + 9/40*m**6 + 1/4*m**5 + 0 + 0*m + 0*m**3 - 6*m**2. Determine r, given that u(r) = 0.
-1, -1/2, 0
Suppose 4*n - 33 + 45 = 0. Let s(q) = -q**2 - q. Let x(d) = -d**2 - d. Let z(i) = n*s(i) + 7*x(i). Factor z(k).
-4*k*(k + 1)
Let v(a) be the second derivative of 0 + 0*a**3 + 35*a + 5/9*a**4 + 1/12*a**5 + 0*a**2. Let v(d) = 0. Calculate d.
-4, 0
Suppose 38*l - 44*l + 18 = 0. Let n(i) be the first derivative of 0*i - 17/10*i**5 + 1/2*i**2 + 4 - 11/6*i**l + 5/12*i**6 + 21/8*i**4. Factor n(z).
z*(z - 1)**3*(5*z - 2)/2
Let h = -61445/119 + 3621/7. Let 2/17*d**2 + h - 18/17*d = 0. What is d?
1, 8
Let l(m) = 4*m**2 + 3*m - 5. Let p be l(-2). Let w = 27/2 + -13. Let 0*r - 1/2*r**p - 3/4*r**4 - 1/4 + w*r**3 + r**2 = 0. Calculate r.
-1, 1/2, 1
Suppose 0 = -138*h + 115*h. Suppose 2*j + b - 8 = 0, -5*b + 14 = j - 2*b. Factor 2/9*g**4 + h - 4/9*g - 2/3*g**j + 0*g**3.
2*g*(g - 2)*(g + 1)**2/9
Let k(l) be the second derivative of -1/210*l**7 + 0*l**6 + 1/30*l**4 + 3/100*l**5 + 0 - 2*l + 0*l**2 + 0*l**3. Factor k(r).
-r**2*(r - 2)*(r + 1)**2/5
Let d(h) be the first derivative of h**5/210 - h**4/42 - h**3/7 + 4*h**2 - 18. Let a(s) be the second derivative of d(s). Find x, given that a(x) = 0.
-1, 3
Find c such that 36/5*c - 1/5*c**2 + 76/5 = 0.
-2, 38
Suppose 4*c = -5*y + 8, c - 4 = -c - 2*y. What is x in 3*x**c - 13*x**3 + 4*x**4 + 4*x**3 - 4*x**5 + 5*x**4 + x**5 = 0?
0, 1
Let o(q) = -q**2 - 23*q - 42. Let d be o(-21). Factor d*z - 28*z + 4*z - 5*z**2 - 45 - 6*z.
-5*(z + 3)**2
Let y(g) be the third derivative of -g**8/30240 + g**7/1890 + 13*g**4/24 + 15*g**2. Let c(d) be the second derivative of y(d). Factor c(b).
-2*b**2*(b - 6)/9
Let z(u) = 18*u**2 - 4 - 2*u**2 + 0*u**2 - 2*u**2 + 14*u. Let r(j) = 5*j**2 + 5*j - 1. Let h(q) = -8*r(q) + 3*z(q). Suppose h(i) = 0. Calculate i.
-2, 1
Let g = 2697/358 - 6/179. Let s = 33/4 - g. Suppose -3/2*u**2 + s*u - 6*u**3 + 0 = 0. What is u?
-1/2, 0, 1/4
Let f(o) = -11*o + 147. Let d be f(13). Let i(m) be the first derivative of 4*m**2 + 0*m + 1 - 8/3*m**3 - 13/2*m**d - 2*m**5. Let i(k) = 0. What is k?
-2, -1, 0, 2/5
Factor 48*t - 3*t**2 + 712 + 697 - 1454.
-3*(t - 15)*(t - 1)
Let s(o) = -3*o**2 + 6*o + 10. Let j(x) = x**2 + x - 17. Let i be j(-5). Let d be s(i). Suppose -3/2*l**2 - d + 5/2*l = 0. What is l?
2/3, 1
What is f in 0 - 3*f**2 + 3/2*f + 3/2*f**3 = 0?
0, 1
Let s(a) be the second derivative of -a**7/21 + 2*a**6/15 - a**4/3 + a**3/3 - 103*a. Solve s(d) = 0.
-1, 0, 1
Determine p so that -4/15*p**3 - 16/15 - 2/15*p**4 + 6/5*p**2 + 4/15*p = 0.
-4, -1, 1, 2
Let p(b) = 2*b**2 + 20*b + 50. Let j(l) = 2*l**2 + 20*l + 50. Let w(a) = -6*j(a) + 4*p(a). Solve w(z) = 0 for z.
-5
Let j(h) be the first derivative of 5*h**4/4 - 305*h**3/3 + 595*h**2/2 - 295*h + 479. Factor j(c).
5*(c - 59)*(c - 1)**2
Let x(d) = 3*d + 6. Let f be x(-1). Find l, given that 9*l**3 + 5*l**2 - 12*l - f*l**3 + 4*l**2 - 3*l**3 = 0.
-4, 0, 1
Suppose 2*p + 25 = -73. Let l = p - -49. Let 0*z**2 + 3/2*z**4 + 3/2*z**3 + l + 0*z = 0. What is z?
-1, 0
Let l(j) be the first derivative of 3/16*j**4 + 2/3*j**3 + 1/2*j - 28 + 7/8*j**2. Factor l(c).
(c + 1)**2*(3*c + 2)/4
Let j(w) = -w + 5. Suppose -5 = -3*a + 10. Let d be j(a). Factor -2*f**2 + 2*f + f**2 + d*f - 3*f.
-f*(f + 1)
Suppose 154 = 8*o - 6. Let w be 6 + -4 - -1*o/6. Solve -16/3*t + 4/3*t**2 + w = 0 for t.
2
Let w(f) be the first derivative of -f**6/540 - f**5/135 + 4*f**2 - 9. Let h(g) be the second derivative of w(g). Determine o, given that h(o) = 0.
-2, 0
Let l(a) be the first derivative of a**3/15 + 8*a**2/5 + 64*a/5 - 251. Factor l(k).
(k + 8)**2/5
Let q(l) = -l**3 + 4*l**2 + 4*l + 8. Let k be q(6). Let c be (-10)/k + 23/4. Suppose -a**2 + c - 2 - 4 = 0. What is a?
0
Let m(s) = 15*s**3 + 3*s**2 - 107*s - 11. Let f(t) = -4*t**3 - t**2 + 27*t + 3. Let h(k) = 22*f(k) + 6*m(k). Solve h(v) = 0.
-4, 0, 6
Let s(z) be the second derivative of 12*z + 1/4*z**5 + 0 + 5/4*z**4 + 0*z**2 + 5/3*z**3. Find h, given that s(h) = 0.
-2, -1, 0
Let g(m) = -3*m**4 - 3*m**3 + 5*m**2 + m. Let y(l) = -l**4 - l**3 + l**2 + 1. Let v(z) = -3*g(z) + 6*y(z). Factor v(q).
3*(q - 1)**2*(q + 1)*(q + 2)
Let w(z) be the second derivative of 3/4*z**5 + 5/3*z**4 - 1/3*z**6 - 10/3*z**3 - 5/42*z**7 + 0*z**2 + 10*z + 0. Factor w(i).
-5*i*(i - 1)**2*(i + 2)**2
Let j(s) be the first derivative of s**6/14 + 9*s**5/35 - 9*s**4/14 - 8*s**3/7 + 524. Find k such that j(k) = 0.
-4, -1, 0, 2
Let a(y) = y**3 - 17*y**2 - 18*y + 4. Let w be a(18). Let x(u) be the third derivative of -6*u**2 - 1/2*u**w + 2*u**3 + 1/20*u**5 + 0 + 0*u. Factor x(n).
3*(n - 2)**2
Let d(g) = -g**2 + 22*g + 51. Let m be d(24). Let j(n) be the first derivative of 2/27*n**m + 0*n - 2/45*n**5 - 7 - 2/9*n**2 + 1/9*n**4. Factor j(b).
-2*b*(b - 2)*(b - 1)*(b + 1)/9
Let j(s) be the first derivative of 2/5*s**5 - 3 + 2/3*s**3 - 3*s**2 - 4*s + 3/2*s**4. What is i in j(i) = 0?
-2, -1, 1
Let p(t) = 2*t - 6*t**3 - 5*t**4 + 2*t + 0*t**4 - 6*t**3 - 3. Let f(h) = 6*h**4 + 12*h**3 - 4*h + 2. Let v(k) = 3*f(k) + 2*p(k). Factor v(x).
4*x*(x + 1)**2*(2*x - 1)
Suppose -36*p + 40*p - 28 = 0. Let y(c) be the second derivative of 2*c + 7/10*c**p - 1/5*c**4 + 0*c**3 + 0*c**2 - 77/50*c**6 + 24/25*c**5 + 0. Solve y(v) = 0.
0, 2/7, 1
Let w(z) be the third derivative of z**5/150 - z**4/20 + 2*z**3/15 + 56*z**2. Factor w(a).
2*(a - 2)*(a - 1)/5
What is o in 65*o**2 - 22*o**3 + 2 + 71*o**3 + 19*o**2 - 27*o = 0?
-2, 1/7
Let k(r) = -14*r**5 - 83*r**4 - 199*r**3 - 205*r**2 - 58*r. Let t(d) = 5*d**5 + 28*d**4 + 66*d**3 + 68*d**2 + 19*d. Let x(p) = 6*k(p) + 17*t(p). Solve x(z) = 0.
-1, 0, 25
Let a(p) = -4*p**3 + 5*p**2 + 5*p - 6. Let h(w) = w**3 - w**2 - w + 1. L