*3 + s*z. Factor n(d).
-2*d**2*(2*d + 1)*(7*d - 2)
Factor 447*k - 855*k**3 + 1275*k**2 - 10*k**5 + 177*k**4 + 14*k**5 - 72*k - 16*k**5.
-3*k*(k - 5)**3*(4*k + 1)
Let y = -888 + 890. Let i(u) be the first derivative of 0*u**3 + 0*u**y + 0*u + 2/65*u**5 + 1/26*u**4 - 1. Factor i(d).
2*d**3*(d + 1)/13
Let m = 41 - 39. Suppose -3*j = 5*j - m*j. Factor 2/5*t**3 + 0 + j*t - 4/5*t**2.
2*t**2*(t - 2)/5
Let m be 4140/368 - (-3 - (1 - 15)). Solve -s + 1 + m*s**3 - 1/4*s**2 = 0 for s.
-2, 1, 2
Factor 10/3*a - 8/3 + 7/3*a**2.
(a + 2)*(7*a - 4)/3
Let x(u) be the third derivative of -u**7/1260 + u**6/180 - u**4/3 + 13*u**2. Let y(w) be the second derivative of x(w). Solve y(d) = 0.
0, 2
Let a = 20 + -11. Suppose 3*v = -a + 15. Suppose 4/3 + 2/3*z**2 - v*z = 0. Calculate z.
1, 2
Let v = 99 + -96. Determine j, given that -6 + 4*j + v*j**3 - 2*j**2 + 14 - 4*j**3 = 0.
-2, 2
Let c(f) be the third derivative of 5*f**4/24 - 7*f**3 + 19*f**2. Let t be c(9). Suppose 1/3*h - 1/3*h**2 - 1/3*h**t + 1/3*h**4 + 0 = 0. What is h?
-1, 0, 1
Suppose -6 = -4*t + 2. Let -6*p**3 - 3*p**4 + 2120*p**t - 2120*p**2 = 0. Calculate p.
-2, 0
Let m = 11871 - 11871. Factor m*h + 4/9*h**2 + 4/9*h**4 + 0 + 8/9*h**3.
4*h**2*(h + 1)**2/9
Let q(k) be the first derivative of -k**4 - 16*k**3 + 8*k**2 + 192*k + 365. Let q(g) = 0. What is g?
-12, -2, 2
Let w = -203 - -207. Let d(g) be the second derivative of 3/2*g**2 + 3/40*g**5 + 0 - 1/4*g**w - 1/4*g**3 - 2*g. What is t in d(t) = 0?
-1, 1, 2
Let v be ((-20)/(-6))/((-320)/(-48) + 6/(-1)). Find s, given that -2/3*s**3 + 0*s**2 + 1/3*s**v + 0 + 0*s**4 + 1/3*s = 0.
-1, 0, 1
Let p(r) be the first derivative of 1/4*r**2 - 3/4*r + 1 + 1/12*r**3. Factor p(o).
(o - 1)*(o + 3)/4
Determine g so that 0*g - 144/5*g**4 - 12*g**3 - 112/5*g**5 + 0 - 8/5*g**2 = 0.
-1/2, -2/7, 0
Suppose -11*h + 44 = -11. Let x(n) be the first derivative of 5 - 5/4*n**4 + 0*n + 8/3*n**3 - 2*n**2 + 1/5*n**h. Determine v, given that x(v) = 0.
0, 1, 2
Let t = 398 - 395. Let o(c) be the second derivative of -1/9*c**4 + 4/9*c**t + 1/90*c**5 + 0 - 8/9*c**2 - 5*c. Factor o(v).
2*(v - 2)**3/9
Let s(o) be the first derivative of o**4 - 8*o**3 + 10*o**2 + 80. Suppose s(n) = 0. What is n?
0, 1, 5
Let n(w) = -w - 7. Let u be n(-9). Determine m so that -4*m + 25*m**3 + 4*m**4 - 5*m**u - 21*m**3 + m**2 = 0.
-1, 0, 1
Let j(o) = -o**2 - 16*o - 10. Let l be j(-15). Let 25*v**l - 21*v**5 + 0*v**4 + 4*v**3 + 8*v**4 = 0. What is v?
-1, 0
Let o(i) be the first derivative of i**3/21 + 33*i**2/14 + 621. Factor o(a).
a*(a + 33)/7
Let n(f) be the third derivative of -5*f**6/24 + 33*f**5/4 - 1089*f**4/8 + 11979*f**3/10 - 4*f**2 + 17*f. Factor n(t).
-(5*t - 33)**3/5
Let t(w) be the first derivative of -8 + 12*w**2 + 4/3*w**3 + 0*w. Determine v, given that t(v) = 0.
-6, 0
Let x be 3 - ((1 - -3) + -19). Suppose -20*a**3 + x*a**2 - 15*a**2 - 28*a - 16*a**2 - 23*a**2 - 8 - 4*a**4 = 0. Calculate a.
-2, -1
Let x(o) be the first derivative of o**5/120 - o**3/12 + 17*o**2 - 25. Let z(j) be the second derivative of x(j). Factor z(d).
(d - 1)*(d + 1)/2
Factor 26*z - 286 - 4*z**2 + 286 + 12*z**2.
2*z*(4*z + 13)
Let c(g) be the second derivative of -1/12*g**4 + 3/2*g**2 + 0*g**3 - 4*g + 0 + 1/120*g**6 - 1/60*g**5. Let h(b) be the first derivative of c(b). Factor h(k).
k*(k - 2)*(k + 1)
Suppose 31 = -0*o + 3*o - 2*h, 4*o + 3*h - 13 = 0. Suppose -v + 7 - o = 0. Factor v*d**4 + 1/4*d**5 + 0 + 0*d + 0*d**2 - 1/4*d**3.
d**3*(d - 1)*(d + 1)/4
Factor 72/17*j**2 - 2/17*j**3 - 648/17*j + 0.
-2*j*(j - 18)**2/17
Suppose 5*d + 6*p = p, 6 = 5*d + 2*p. Let c(q) be the third derivative of 0*q + 2*q**d + 0 - 1/60*q**6 - 2/3*q**3 + 1/4*q**4 + 0*q**5. Factor c(x).
-2*(x - 1)**2*(x + 2)
Suppose -2*l - 8*k + 19 = -3*k, 3*k = -3*l + 15. Factor 10/3*c - 5/3*c**l - 5/3.
-5*(c - 1)**2/3
Factor -20/7*p**2 - 228/7*p + 4/7*p**3 - 396/7.
4*(p - 11)*(p + 3)**2/7
Suppose -3*b + y = -y - 12, 4 = b + 4*y. Suppose -v + 0 + b = 0. Factor 2 - 4*n - v*n**2 + 2 + 4.
-4*(n - 1)*(n + 2)
Suppose -2*m = 3*o + 15, -5*m - 4 - 6 = 2*o. Let b(u) be the first derivative of 2/3*u**3 - 4 + 0*u + 1/4*u**4 - 1/5*u**5 + m*u**2. Factor b(g).
-g**2*(g - 2)*(g + 1)
Let f(w) be the first derivative of 13*w**3/4 - w**2/4 + 262. Solve f(v) = 0 for v.
0, 2/39
What is y in -2/3*y**3 - 2/3*y**2 + 0 + 4/3*y = 0?
-2, 0, 1
Let u(o) = -o**2 + 28*o + 536. Let p be u(-13). Solve 0*b**p + 0*b - 1/10*b**5 + 2/5*b**2 + 0 - 3/10*b**4 = 0.
-2, 0, 1
Let 3/2*m**2 + 45/2*m + 21 = 0. Calculate m.
-14, -1
Find b, given that 6 + 8*b + 3/2*b**2 - 1/2*b**3 = 0.
-2, -1, 6
Let t(p) be the third derivative of 0 - p + 2/15*p**7 - 11/15*p**5 + 8/3*p**3 + 1/10*p**6 + 0*p**4 + 13*p**2 - 1/28*p**8. What is m in t(m) = 0?
-1, -2/3, 1, 2
Suppose -5*d + 7*d = 0. Let x be 76/(-133) - (-41)/35. Factor x*n**3 - 3/5*n**2 - 6/5*n + d.
3*n*(n - 2)*(n + 1)/5
Find x such that 14/5*x**2 + 326/5*x + 92/5 = 0.
-23, -2/7
Factor -1/4*f**2 + 25*f - 625.
-(f - 50)**2/4
Let t(z) = -2*z - 80. Let l be t(-24). Let v(o) = -o**2 - 31*o + 35. Let n be v(l). Solve 0 + 0*d**n + 0*d**2 + 4/3*d**4 - 14/3*d**5 + 0*d = 0.
0, 2/7
Find d such that 5*d - 1/2*d**2 - 8 = 0.
2, 8
Let x(q) be the third derivative of q**8/784 - 4*q**7/147 + 19*q**6/105 - 8*q**5/35 - 6*q**4/7 + 5*q**2 - 7*q. What is v in x(v) = 0?
-2/3, 0, 2, 6
Let m = 1574 - 1566. Let r(s) = -75*s - 6. Let o be r(-6). Factor -4*y**3 + o + 12*y**2 - 444 - m*y.
-4*y*(y - 2)*(y - 1)
Let t = -34 + 37. Let c(s) be the third derivative of -1/8*s**4 + 0*s**t + 4*s**2 + 1/112*s**8 + 0*s + 0 + 1/10*s**5 - 1/35*s**7 + 0*s**6. Factor c(o).
3*o*(o - 1)**3*(o + 1)
Let g(s) = -s**3 + 22*s + 15. Let a be g(5). Suppose 4/11*f**3 - 2/11*f**5 + 0*f**4 + a*f**2 + 0 - 2/11*f = 0. Calculate f.
-1, 0, 1
Determine d so that 0*d - 44/17*d**2 + 0 + 2/17*d**4 + 42/17*d**3 = 0.
-22, 0, 1
Factor t**4 - 3*t**4 - 12*t**3 - 20*t**2 + 16 + 12*t + 2*t**4 + 4*t**4.
4*(t - 4)*(t - 1)*(t + 1)**2
Let s(i) = -i**3 + 8*i**2 + 9*i + 3. Let w be s(9). Determine x so that -6*x + 0*x - w*x + 3*x**2 + 6 = 0.
1, 2
Let c(b) be the third derivative of 0 + 31*b**2 + 2/25*b**5 + 8/525*b**7 + 0*b - 1/15*b**3 + 11/150*b**6 - 1/120*b**4. Find p such that c(p) = 0.
-2, -1/2, 1/4
Let a(m) be the second derivative of 5*m**4/12 + 5*m**3/3 - 29*m. Suppose a(p) = 0. What is p?
-2, 0
Let g(c) be the second derivative of -c**9/15120 + c**8/840 - 2*c**7/315 - 3*c**4/4 + 13*c. Let d(o) be the third derivative of g(o). Let d(r) = 0. What is r?
0, 4
Suppose 5*f = 10, 5*f = -0*k - 3*k + 16. Suppose -16*n + 16 - 14*n**2 + n**2 + n**k = 0. Calculate n.
-2, 2/3
Suppose 2*k - 5*c = 23, -k + 0*c + 2*c = -10. Factor 9*r + 3*r**3 + 5*r**k + 2*r**3 - 5*r**2 - 14*r.
5*r*(r - 1)*(r + 1)**2
Let a(s) be the second derivative of -1/96*s**4 + 0 - 3/16*s**2 - 1/12*s**3 - 2*s. Factor a(z).
-(z + 1)*(z + 3)/8
Suppose 0*h = 8*h - 360. Let p = h - 43. Find a, given that -1/2*a**2 + a - p*a**3 + 0 + 3/2*a**4 = 0.
-2/3, 0, 1
Suppose 0*i + 4*i = 0. Solve -12 + i*k**2 - k - 3*k**2 - 10*k - k = 0 for k.
-2
Determine l so that 4/3*l**2 + 100/3 + 40/3*l = 0.
-5
Determine b so that -5/2*b**2 + 75*b + 160 = 0.
-2, 32
Solve 0*r**2 + 0*r**3 + 0 + 0*r + 1/4*r**5 + 1/4*r**4 = 0 for r.
-1, 0
Let f = 7 + 525. Factor f*o + 4*o**3 - o**4 + 0*o**3 - o**2 - 538*o.
-o*(o - 3)*(o - 2)*(o + 1)
Suppose -t + 1 = 0, 3 = 2*k - 2*t - 21. Factor -24*w + 4*w**2 + 0*w**2 + 7 + 0*w**2 + k.
4*(w - 5)*(w - 1)
Find m such that 0 + 69/7*m**2 - 36/7*m - 15/7*m**3 = 0.
0, 3/5, 4
Let y(n) = 2*n**2 + 4*n + 2. Let l be y(-2). Let b(z) = z**3 + 6*z**2 + 49. Let v be b(-7). Factor 6/5*t**4 - 3/5*t**5 + 3/5*t + v + 0*t**3 - 6/5*t**l.
-3*t*(t - 1)**3*(t + 1)/5
Let v(l) be the first derivative of l**6/30 - 9*l**5/25 + 3*l**4/10 + 16*l**3/15 - 298. Factor v(n).
n**2*(n - 8)*(n - 2)*(n + 1)/5
Factor 7*m**2 + 5*m**2 + 68 + 194*m + 14*m.
4*(m + 17)*(3*m + 1)
Let j be (-4)/(-90)*1*(-210)/(-200). Let v(p) be the third derivative of 1/5*p**4 + 0 + 0*p - j*p**5 + 4*p**2 + 4/15*p**3. What is w in v(w) = 0?
-2/7, 2
Let b(v) be the third derivative of v**8/13440 - 7*v**5/30 + 18*v**2. Let d(q) be the third derivative of b(q). Find w such that d(w) = 0.
0
Let m(o) be the second derivative of -o**7/56 + 3*o**5/80 + 27*o - 3. What is j in m(j) = 0?
-1, 0, 1
Let u be (-464)/58 - -4*((-6)/(-2) - 1). Determine 