a) be the first derivative of 3/2*a**4 + 2 - u*a - 3*a**2 + 2/3*a**3. Suppose r(n) = 0. What is n?
-1, -1/3, 1
Let d(o) = -o + 8. Let u be d(4). What is g in -5 - 6*g**3 + 2*g**u - 9*g**2 + 2*g**4 - g**4 + 17 + 12*g = 0?
-1, 2
Let t(j) be the second derivative of -j**7/21 + 4*j**6/15 - 3*j**5/5 + 2*j**4/3 - j**3/3 - 19*j. Factor t(o).
-2*o*(o - 1)**4
Let h(s) be the third derivative of -s**5/60 + s**4/2 - 6*s**3 - 17*s**2. Factor h(i).
-(i - 6)**2
Solve 0*p**4 + 0 + 0*p**2 - 4/3*p**3 + 2/3*p + 2/3*p**5 = 0 for p.
-1, 0, 1
Factor -3*b**5 + 3*b**3 - 15*b + 15*b.
-3*b**3*(b - 1)*(b + 1)
Let v(b) = -b**3 - 25*b**2 + 25*b - 24. Let o be v(-26). Suppose 0 - 1/6*s**o + 1/3*s = 0. What is s?
0, 2
Let p be (-12)/(-7) + (-8)/(-28). Let 0*o**3 + 0*o**p + 2*o**4 - 2*o**3 - 3*o**4 - o**2 = 0. Calculate o.
-1, 0
Suppose 3*d - 3*g = -0*d + 36, 58 = 4*d - 2*g. Factor -5*i - 3*i - d*i - 6 - 9*i**2 + 12*i**3 - 2*i.
3*(i - 2)*(i + 1)*(4*i + 1)
Let k(m) be the first derivative of m**7/525 - m**5/75 + m**3/15 - m**2/2 - 4. Let c(o) be the second derivative of k(o). Suppose c(b) = 0. What is b?
-1, 1
Let o be ((-3)/2)/(4/(-8)). Factor 7*d**3 + d**o - 2*d**2 + 4*d**5 - 6*d**4 - 2*d**3 - 2*d**5.
2*d**2*(d - 1)**3
Let x(f) = f**4 - 34*f**3 + 162*f**2 - 322*f + 243. Let o(p) = -p**4 + p**3 + p. Let g(j) = 2*o(j) - x(j). Find i such that g(i) = 0.
3
Factor 0 + 2/19*k**4 + 10/19*k**2 - 8/19*k**3 - 4/19*k.
2*k*(k - 2)*(k - 1)**2/19
Let g(v) be the first derivative of v**8/1848 - v**6/330 + v**4/132 + v**2/2 + 1. Let i(y) be the second derivative of g(y). What is q in i(q) = 0?
-1, 0, 1
Suppose 2/5*t**3 - 4/5*t**4 + 0 - 2/5*t**5 + 4/5*t**2 + 0*t = 0. What is t?
-2, -1, 0, 1
Let h = 8 - 4. Suppose -4*w**4 - 2*w**3 - 8*w + w**5 + 4*w**3 + 4*w**2 + 4*w**3 - w**h = 0. Calculate w.
-1, 0, 2
Let o = -10 + 32/3. Let -2*c**4 + 16/9*c**2 + 0 - o*c**3 + 8/9*c = 0. What is c?
-2/3, 0, 1
Let n(t) be the second derivative of t**4/36 - t**3/6 + t**2/3 + 8*t. Suppose n(x) = 0. What is x?
1, 2
Let u(j) be the first derivative of -6*j**5/35 - 3*j**4/2 - 36*j**3/7 - 60*j**2/7 - 48*j/7 + 18. Suppose u(z) = 0. What is z?
-2, -1
Suppose -i = i + r + 23, 2*r - 2 = 0. Let t be (i/(-15))/(4/30). Solve 22*d - 42*d**2 - 3*d**4 + 34*d**3 - t*d**4 - 4 - d**4 = 0.
2/5, 1
Let x(s) be the second derivative of -s**7/280 - s**6/40 - 3*s**5/40 - s**4/8 + s**3/6 - 3*s. Let n(t) be the second derivative of x(t). Solve n(v) = 0 for v.
-1
Let i(w) be the first derivative of -14*w**3 - 9*w**2/2 + 6*w + 17. What is z in i(z) = 0?
-1/2, 2/7
Find t, given that 0 - 1/2*t**2 - 1/2*t = 0.
-1, 0
Let g(n) be the third derivative of -n**5/330 + n**4/33 - n**3/11 + 4*n**2. Factor g(w).
-2*(w - 3)*(w - 1)/11
Let v be 2 + (-3)/6*-4. Factor 2*r**v - 3*r**4 - 3*r**2 + 2*r**2 + 2*r**4.
r**2*(r - 1)*(r + 1)
Let x(f) be the first derivative of 9*f**6/2 + 216*f**5/5 + 603*f**4/4 + 710*f**3/3 + 186*f**2 + 72*f - 1. Factor x(w).
(w + 3)**2*(3*w + 2)**3
Let v(d) be the first derivative of d**3/6 + d**2/2 + 8. Determine y so that v(y) = 0.
-2, 0
Suppose -28*y + 36*y = 0. Let y + 0*l + 1/3*l**2 = 0. Calculate l.
0
Let a(c) be the third derivative of -7*c**6/320 + 9*c**5/160 - c**4/32 - 19*c**2. Find k, given that a(k) = 0.
0, 2/7, 1
Let v be 16/6 + 4/(3 + -5). Factor 7/3*g + 5/3*g**2 + v.
(g + 1)*(5*g + 2)/3
Let r(h) = -2*h - 8. Let n be r(-4). Suppose 5/3*b**3 - 1/3*b**2 - b**4 - 1/3*b + n = 0. What is b?
-1/3, 0, 1
Suppose -4*t + 0*t + 2*a - 34 = 0, 0 = 4*t - a + 29. Let o(v) = -v - 4. Let r be o(t). Factor 0*x + 1/3*x**4 - 4/3*x**3 + 4/3*x**r + 0.
x**2*(x - 2)**2/3
Suppose 9/4*u**5 + 0 + 9*u**3 + 3/4*u + 9/2*u**2 + 15/2*u**4 = 0. Calculate u.
-1, -1/3, 0
Factor 35/4*q**2 + 36*q + 1/2*q**3 - 81/4.
(q + 9)**2*(2*q - 1)/4
Let p(q) be the third derivative of -q**6/240 + q**4/16 + q**3/6 + 22*q**2. Suppose p(x) = 0. Calculate x.
-1, 2
Let d(t) be the second derivative of -t**7/84 + t**5/10 + t**4/12 - t**3/4 - t**2/2 - 50*t. Factor d(i).
-(i - 2)*(i - 1)*(i + 1)**3/2
Let t(s) = -4*s**4 + 4*s**2 + 3*s + 3. Let y(x) = -4*x**4 - x**3 + 5*x**2 + 4*x + 4. Let k(b) = -4*t(b) + 3*y(b). Find c, given that k(c) = 0.
-1/4, 0, 1
Suppose -m - 2*m + 6 = 0. Let l(c) = -c + 10. Let s be l(7). Factor 4/5*j**m + 6/5*j - 4/5*j**s - 2/5*j**5 - 6/5*j**4 + 2/5.
-2*(j - 1)*(j + 1)**4/5
Suppose -10*a**4 - 14*a**3 + 0*a**3 - 6*a**3 + 10*a**2 + 5*a**5 + 15*a = 0. Calculate a.
-1, 0, 1, 3
Let q(a) be the second derivative of -a**7/42 + a**6/15 - a**5/20 + 12*a. Factor q(k).
-k**3*(k - 1)**2
Suppose 5*m - 27 = -4*i, -3*i + 12 = -i + 2*m. Determine z so that 9 - 16*z + 2*z**2 - 18*z + i + 26*z**2 - 6*z**3 = 0.
2/3, 1, 3
Let s(p) be the first derivative of 0*p**4 - 1/24*p**3 + 4 + 1/80*p**5 - 4*p + 0*p**2. Let c(y) be the first derivative of s(y). Factor c(r).
r*(r - 1)*(r + 1)/4
Let y(z) = -3*z - 21. Let q be y(-9). Factor -6*i + 12*i**2 + 3*i**3 - 7*i**3 + q*i.
-4*i**2*(i - 3)
Let g = 8 - 5. Let a(v) = -3*v**5 + v**4 + v**3 - v**2 - 2*v. Let u(r) = -4*r**5 + 2*r**4 + r**3 - 2*r**2 - 3*r. Let b(h) = g*a(h) - 2*u(h). Factor b(x).
-x**2*(x - 1)*(x + 1)**2
Let a(o) be the second derivative of o**7/336 + o**6/80 - 3*o**5/80 - 5*o**4/48 + 7*o**3/16 - 9*o**2/16 + 5*o. Factor a(w).
(w - 1)**3*(w + 3)**2/8
Let c(a) be the first derivative of 0*a**3 + 2*a - 1/4*a**4 - 2 + 3/20*a**5 + 0*a**2. Let u(j) be the first derivative of c(j). Factor u(r).
3*r**2*(r - 1)
Let r(l) be the second derivative of 0 + 0*l**4 + 0*l**3 - 2*l + 0*l**2 - 1/70*l**5. Factor r(w).
-2*w**3/7
Let h be 13 - (5 + -1 + -1). Factor -o**3 + 5*o**3 + 4 + h*o + 8*o**2 - 2*o**3.
2*(o + 1)**2*(o + 2)
Let f(c) = c**2 - c + 7. Let q(n) = n + 1. Let j(k) = f(k) - 3*q(k). Let o(w) = w**2 - 4*w + 4. Let r(x) = -3*j(x) + 2*o(x). Factor r(y).
-(y - 2)**2
Find n, given that -52 - 24*n**3 - 4*n**4 + 6*n**4 + 54*n**2 + n**4 - 29 = 0.
-1, 3
Let k(a) = -a**3 - 3*a**2 + 5*a + 6. Let x be k(-4). Factor 8*n - 14*n**4 + 3*n**2 - 19*n**3 + n**3 + 21*n**x.
-2*n*(n - 1)*(n + 2)*(7*n + 2)
Let x be 5/((-1)/(-2 + 3)). Let j(t) = -6*t**3 - 6*t**2 - 16*t - 16. Let k(b) = 2*b**3 + 2*b**2 + 5*b + 5. Let n(o) = x*j(o) - 16*k(o). Factor n(y).
-2*y**2*(y + 1)
Let q be (-7)/2*24/(-42). Let w be q/(-7) + (-85)/(-175). What is s in -2/5 + 1/5*s**2 - w*s = 0?
-1, 2
Let d(q) be the second derivative of 2*q + 0 + 1/36*q**4 - 1/18*q**3 - 1/6*q**2 + 1/60*q**5. Factor d(s).
(s - 1)*(s + 1)**2/3
Let q(m) = m + 2. Let r be q(4). Let x = r + -6. Factor 2*h**2 + x*h + 4*h - 3*h**2 - h**2 - 2.
-2*(h - 1)**2
Let l(w) be the first derivative of 5*w**4/4 - 40*w**3/3 + 105*w**2/2 - 90*w + 52. Determine x, given that l(x) = 0.
2, 3
Let k(v) = 8*v**3 + 6*v**2 + 6*v - 6. Let b(x) = 23*x**3 + 17*x**2 + 17*x - 17. Let i(w) = -6*b(w) + 17*k(w). Factor i(a).
-2*a**3
Solve 8/3 + 4/3*f + 1/6*f**2 = 0.
-4
Let q(t) be the first derivative of -t**7/3360 - t**6/1440 + t**5/480 + t**4/96 + 2*t**3/3 - 3. Let o(c) be the third derivative of q(c). Factor o(v).
-(v - 1)*(v + 1)**2/4
Let t(p) be the third derivative of p**7/630 + p**6/180 - p**4/4 + 7*p**2. Let s(k) be the second derivative of t(k). Let s(r) = 0. Calculate r.
-1, 0
Factor -3*m**3 + 0*m**2 - 1/2*m**4 + 0 + 0*m + 1/2*m**5.
m**3*(m - 3)*(m + 2)/2
Let q(b) be the first derivative of -b**4/16 + b**3/12 + b**2/8 - b/4 - 10. Let q(u) = 0. Calculate u.
-1, 1
Let f(s) = s**4 + s**3 + s**2 - 1. Let a(n) = 36*n**4 + 56*n**3 - 8*n**2 - 8. Let m(w) = a(w) - 8*f(w). Factor m(u).
4*u**2*(u + 2)*(7*u - 2)
Let l(v) be the second derivative of -v**6/105 + v**5/10 - v**4/7 - 12*v. Solve l(p) = 0.
0, 1, 6
Let n(d) = d**3 + d**2 + 2*d - 2. Let m(c) = 6*c**3 + 6*c**2 + 10*c - 11. Let j(w) = -4*m(w) + 22*n(w). Factor j(i).
-2*i*(i - 1)*(i + 2)
Let d(k) be the third derivative of k**5/50 - 4*k**3/5 - 2*k**2 + 2. Determine m, given that d(m) = 0.
-2, 2
Let x(j) be the third derivative of -j**6/280 + j**5/28 - j**4/7 + 2*j**3/7 + 17*j**2. Factor x(z).
-3*(z - 2)**2*(z - 1)/7
Factor 5/4*p**2 - 3/2*p + 1/4.
(p - 1)*(5*p - 1)/4
Let o be (3 + -15)/4 - (-219)/72. Let b(n) be the second derivative of 1/4*n**2 - 1/24*n**3 + 1/80*n**5 + 0 - o*n**4 - 3*n. Factor b(k).
(k - 2)*(k - 1)*(k + 1)/4
Let w be (-16)/(-10)*10/4. Let n(a) = a**2 + 3*a - 6. Let v(f) = -4*f**2 - 9*f + 17. Let d(l) = w*v(l) + 11*n(l). Factor d(x).
-(x + 1)*(5*x - 