2*x**3 - 10*x**2 + 2*x + 2. Let t(z) = 81*z**4 - 33*z**3 - 159*z**2 + 33*z + 33. Let o(u) = 33*a(u) - 2*t(u). Factor o(d).
3*d**2*(d - 2)*(d + 2)
Let b(x) be the second derivative of -16/5*x**5 - 8/3*x**3 + 0*x**2 + 0 - 23*x + 17/3*x**4 + 2/5*x**6. Suppose b(u) = 0. What is u?
0, 1/3, 1, 4
Let k(q) be the third derivative of q**8/4480 + q**7/560 - q**5/20 + q**4/2 - 23*q**2. Let u(d) be the second derivative of k(d). Solve u(t) = 0 for t.
-2, 1
Let c(w) be the first derivative of -w**7/5460 + w**6/2340 + w**5/390 - 5*w**3/3 + 30. Let x(g) be the third derivative of c(g). Factor x(p).
-2*p*(p - 2)*(p + 1)/13
Suppose 3*n - 2*k + 6*k = 55, -3*n + 73 = -5*k. Suppose 5*f + a = n, f = -0*f + a + 9. Factor 3*c**2 - c**f - c**2 - 2*c**4 + 2*c**3 + 0*c**2 - c**5.
-2*c**2*(c - 1)*(c + 1)**2
Let l(d) be the second derivative of d**7/147 - 4*d**6/105 - d**5/70 + 2*d**4/21 - 121*d. Find j, given that l(j) = 0.
-1, 0, 1, 4
Let o be (2110/(-90) + 24)*12/10. Find s, given that -2/3*s**4 + 0*s + 0 + 0*s**2 - 4/3*s**3 + o*s**5 = 0.
-1, 0, 2
Let f(x) be the second derivative of 5*x**7/42 - x**6/3 - x**5/4 + 5*x**4/6 - 19*x - 10. Factor f(w).
5*w**2*(w - 2)*(w - 1)*(w + 1)
Let u(k) be the first derivative of -3*k**4 + 8/3*k**3 - 46 + 9/10*k**5 + 0*k**2 - 1/12*k**6 + 0*k. Solve u(a) = 0.
0, 1, 4
Let t = 1619/729 - -1/729. Solve -t*l + 50/9 + 2/9*l**2 = 0 for l.
5
Let c = -11 + 13. Let t = 629/138 - 4/69. Find s, given that 3/2*s**3 - 3/2 + t*s - 9/2*s**c = 0.
1
Let p(q) be the third derivative of -q**7/2520 - q**6/45 - 8*q**5/15 - q**4/24 + 15*q**2. Let j(t) be the second derivative of p(t). Let j(v) = 0. What is v?
-8
Let c be ((-18)/(-648)*126)/((-4)/(-3)). Suppose 0 - c*s - 3/8*s**2 = 0. What is s?
-7, 0
Let k(u) be the first derivative of 3*u**4/28 - 34*u**3/7 + 354. Suppose k(r) = 0. Calculate r.
0, 34
Factor 32 + 11*t**2 - 7*t**3 + 72*t - 26*t**2 + 28*t + 4*t**2 - 33*t**2.
-(t - 2)*(t + 8)*(7*t + 2)
Let s(y) be the first derivative of 3*y**4/20 - y**3/5 - 18*y**2/5 - 429. Let s(x) = 0. Calculate x.
-3, 0, 4
Let d be (-4)/1 + 3*(-3)/(-9). Let k be (0/6)/(2 + d). Suppose k*x + 0 - 1/7*x**3 + 2/7*x**2 = 0. Calculate x.
0, 2
Let b(u) be the second derivative of -5*u**7/147 - 2*u**6/105 + 3*u**5/14 + 8*u**4/21 + 4*u**3/21 - 42*u. Solve b(g) = 0.
-1, -2/5, 0, 2
Let o = 18 + -12. Factor -5*y**2 + 0*y**2 + 8*y**2 - o*y**2 - 3*y.
-3*y*(y + 1)
Let q(g) = 10*g - 10. Let s(w) = -w**2 + 31*w - 30. Let r = 54 + -52. Let b(k) = r*s(k) - 7*q(k). What is u in b(u) = 0?
-5, 1
Let r be (4/5)/(22/385). Let -r - 2/7*z**2 + 4*z = 0. What is z?
7
Let y(l) be the second derivative of -2*l**6/15 + 6*l**5 - 253*l**4/3 + 280*l**3 - 392*l**2 + 27*l - 1. Find d such that y(d) = 0.
1, 14
Let w(f) be the third derivative of f**6/30 - 3*f**5/5 + 10*f**4/3 - 8*f**3 + f**2 - 44. Factor w(l).
4*(l - 6)*(l - 2)*(l - 1)
Factor -24/5 - 14/5*w**2 + 112/15*w + 2/15*w**3.
2*(w - 18)*(w - 2)*(w - 1)/15
Let s(g) be the first derivative of -g**4/48 + g**3/3 - 25*g + 30. Let p(c) be the first derivative of s(c). Solve p(j) = 0.
0, 8
Let v(y) be the second derivative of -y**6/1080 + y**5/360 - 7*y**3/3 - 11*y. Let m(i) be the second derivative of v(i). Factor m(l).
-l*(l - 1)/3
Let x(b) be the first derivative of -26*b**3/9 + 128*b**2/15 + 8*b/15 + 184. Factor x(y).
-2*(y - 2)*(65*y + 2)/15
Find c such that 113 + 20*c + 6*c**2 - 10*c**2 - 121 - 2*c**3 - 6*c = 0.
-4, 1
Let r(c) = 10*c**2 - 13*c - 11. Let b(o) = 5*o**2 - 8*o - 6. Let h(j) = 11*b(j) - 6*r(j). Factor h(l).
-5*l*(l + 2)
Let w(j) be the third derivative of 2/3*j**3 + 1/180*j**6 + 0*j**5 + 0*j - 7/36*j**4 - 15*j**2 + 0. What is n in w(n) = 0?
-3, 1, 2
Factor -69/2 - 36*d - 3/2*d**2.
-3*(d + 1)*(d + 23)/2
Suppose -10 = f - 3*f. Let p = -1 + f. Factor -7*n**4 - n**4 + p*n**5 + 110*n**3 - 106*n**3.
4*n**3*(n - 1)**2
Let m(i) = -3*i**3 + 4*i**2 + 3*i + 11. Let x(s) = -s**3 + 2*s**2 + s + 1. Let p(q) = m(q) - 5*x(q). Solve p(d) = 0 for d.
-1, 1, 3
Let j be ((-4)/1)/(1 - 2). Factor 15*v**4 - v**5 - 6*v**j - 2*v**3 - 6*v**4.
-v**3*(v - 2)*(v - 1)
Let y(s) be the third derivative of s**2 - 1/10*s**5 + 5/6*s**3 + 0*s - 3/4*s**4 - 1/180*s**6 + 0. Let w(u) be the first derivative of y(u). Factor w(k).
-2*(k + 3)**2
Factor 40*y + 19*y**2 + 6*y**2 - 1340 + 1320.
5*(y + 2)*(5*y - 2)
Let g be ((-1)/3)/(4/(-168)). Let p(h) = -h**3 + h**2 - 1. Let k(u) = -6*u**3 + 16*u - 19. Let i(z) = g*p(z) - 2*k(z). Factor i(m).
-2*(m - 3)*(m - 2)**2
Let s(m) be the third derivative of 1/510*m**6 + 27*m**2 + 0 - 3/170*m**5 + 1/68*m**4 + 4/51*m**3 + 0*m. Determine b, given that s(b) = 0.
-1/2, 1, 4
Let x be 3871/(-35) - 2/((-20)/6). Let k = 114 + x. Factor -20/7*d**2 - 10/7*d - 20/7*d**3 - 10/7*d**k - 2/7 - 2/7*d**5.
-2*(d + 1)**5/7
Determine p so that p - 91 + 4*p**3 + 6*p**2 - 7*p**3 + 16 + 44*p - 33 = 0.
-4, 3
Let v(g) = g**3 - 14*g**2 - 30*g - 2. Let j(o) = o**3 + 2*o**2 + o - 1. Let h(a) = 2*j(a) - v(a). Factor h(d).
d*(d + 2)*(d + 16)
Let x(b) be the second derivative of -b**5/4 - 5*b**4 - 50*b**3/3 - 19*b + 5. Find d, given that x(d) = 0.
-10, -2, 0
Let -1/6*f**3 + 0 + 88/3*f**2 - 3872/3*f = 0. What is f?
0, 88
Let j(i) be the second derivative of i**7/14 - i**6/2 + 27*i**5/20 - 7*i**4/4 + i**3 - 2*i - 16. Suppose j(m) = 0. Calculate m.
0, 1, 2
Factor -13/4*q - 33/4*q**3 + 7/4*q**4 + 0 + 1/2*q**5 + 37/4*q**2.
q*(q - 1)**3*(2*q + 13)/4
Let i(z) = z**3 + 4*z**2 + z - 2. Suppose -5*w + 4*w - 14 = 5*h, 5*w + 7 = -4*h. Let j be i(h). What is u in -2 + 3*u**3 - 5*u**2 - 3*u + u**j + 6*u**2 + 0 = 0?
-2, -1, 1
Let k(l) = 4*l**3 - 3*l**2 - 2*l. Let o(v) = v**3 - v**2 - v. Suppose -3 + 27 = -8*s. Let w(r) = s*k(r) + 6*o(r). Factor w(u).
-3*u**2*(2*u - 1)
Let w(m) be the third derivative of -8*m**2 + 1/168*m**8 + 0 + 0*m**3 + 0*m + 0*m**4 - 1/105*m**7 - 1/60*m**6 + 1/30*m**5. Factor w(p).
2*p**2*(p - 1)**2*(p + 1)
Let x(j) be the first derivative of -j**3/15 - 9*j**2/10 + 2*j + 36. Find q, given that x(q) = 0.
-10, 1
Let b = 4486/15 + -17929/60. Solve g**4 + 0*g + 0 + b*g**2 + g**3 = 0 for g.
-1/2, 0
Let v(u) be the second derivative of u**6/150 - u**5/100 - u**4/20 + u**3/6 - u**2/5 + 104*u. Factor v(t).
(t - 1)**3*(t + 2)/5
Let q(t) = t**2 - t + 2. Let b(z) = -7*z**2 + 13*z - 10. Let l(w) = -b(w) - 5*q(w). Factor l(c).
2*c*(c - 4)
Let s = -262 - -1326/5. Let a = 48192/5 - 9632. Factor -a - 2/5*h**2 + s*h.
-2*(h - 4)**2/5
Let q(o) be the third derivative of 0*o**3 + 1/24*o**4 + 1/30*o**5 + 0*o - 1/105*o**7 + 5/1344*o**8 + 0 - 10*o**2 - 3/160*o**6. Find n, given that q(n) = 0.
-1, -2/5, 0, 1, 2
Let f(s) be the first derivative of 26/7*s**3 + 8/7*s + 20/7*s**2 + 41 + 37/14*s**4 + 34/35*s**5 + 1/7*s**6. Solve f(i) = 0.
-2, -1, -2/3
Let i(u) = 15*u**2 - 3145*u - 1045. Let t(d) = -d**2 + 286*d + 95. Let m(n) = -4*i(n) - 45*t(n). Factor m(y).
-5*(y + 19)*(3*y + 1)
Let q be (24/18)/(1/9). Let w = -10 + q. Determine f so that -1 - 1/3*f + 2/3*f**w = 0.
-1, 3/2
Factor -131*t**2 + 267*t**2 - 145*t - 131*t**2.
5*t*(t - 29)
Let a(l) be the first derivative of l**7/63 - l**6/45 - l**5/30 + l**4/18 - 9*l - 6. Let d(k) be the first derivative of a(k). Factor d(p).
2*p**2*(p - 1)**2*(p + 1)/3
Let l(z) be the first derivative of -z**4 - 10*z**3/3 - 2*z**2 + 19. Factor l(w).
-2*w*(w + 2)*(2*w + 1)
Let o(n) be the first derivative of n**5/40 + 5*n**4/32 + n**3/24 - 21*n**2/16 - 9*n/4 - 165. Let o(j) = 0. What is j?
-3, -1, 2
Let d(m) = m**3 - 5*m**2 + 5*m - 4. Let y be d(4). Let q = 3 - y. Factor -6*k + 3 + 3*k**2 - 19*k**2 - q*k + 4*k**2.
-3*(k + 1)*(4*k - 1)
Determine z, given that 67/2*z**2 + 15/2*z**4 - 2 - 10*z - 29*z**3 = 0.
-2/15, 1, 2
Suppose -29851*t = -29844*t - 35. Factor 36/11*d**3 - 84/11*d**2 + 6/11*d**4 + 6*d - 6/11*d**t - 18/11.
-6*(d - 1)**4*(d + 3)/11
Let t = 746 - 8947/12. Let d(w) be the third derivative of 5/6*w**3 + 0 + 0*w - 1/4*w**5 + 12*w**2 - t*w**4. Factor d(f).
-5*(f + 1)*(3*f - 1)
Let u be (-7)/(-2) + (4 - 7). Let m = 17 + -13. Determine z, given that -1/2*z + 1/2*z**3 + u*z**2 - 1/2*z**m + 0 = 0.
-1, 0, 1
Let g(b) be the third derivative of b**6/420 - b**4/12 - 2*b**3/7 + 19*b**2. Find v such that g(v) = 0.
-2, -1, 3
Suppose -44*h - 51*h = -760. Let o(y) be the second derivative of h*y + 0 + 0*y**2 + 1/30*y**4 - 1/15*y**3. Suppose o(x) = 0. Calculate x.
0, 1
Let