x + 18*x**2 - 3*x**3 + x**3 + x**4 + f.
(x + 1)*(x + 2)**3
Suppose 0*i + 0 - 2*i**4 - 2/3*i**5 + 0*i**3 + 8/3*i**2 = 0. Calculate i.
-2, 0, 1
Suppose -2*z - 2 = 0, -z = 5*c - 2*c - 5. Suppose -4 = -c*v + 2. Factor 2*x**4 - v*x**4 + 3*x**3 - 4*x**2 + x + x**2.
-x*(x - 1)**3
Let s(o) be the second derivative of -2/39*o**3 + 1/26*o**4 + 0*o**5 + 0*o**2 + 5*o + 0 - 1/195*o**6. Solve s(q) = 0.
-2, 0, 1
Factor -9*v**2 - v**4 - 14846*v + 14846*v - 6*v**3.
-v**2*(v + 3)**2
Suppose 0*r - 4*r = -16. Let u = 13 - 8. Solve r*t**3 + 3*t**4 - 3*t**u - 5*t**4 + t**5 = 0.
-2, 0, 1
Let j(l) be the first derivative of -l**3/3 + 3*l**2 - 9*l + 14. Factor j(i).
-(i - 3)**2
Let v be ((-8)/(-12))/(3/9). Let x(t) be the second derivative of 1/21*t**7 + 0*t**3 + 0*t**2 + 0 + 1/15*t**6 + 0*t**4 + 0*t**5 - v*t. Factor x(z).
2*z**4*(z + 1)
Solve -8/9*j**2 + 2/9*j + 10/9*j**3 - 4/9*j**4 + 0 = 0 for j.
0, 1/2, 1
Let z(n) be the first derivative of -n**4 + 2*n**2 - 1. Suppose z(i) = 0. Calculate i.
-1, 0, 1
Suppose 2*k - 2*t - 8 = 0, k + 2*k - 4*t = 10. Find j, given that k*j + 1 - 3*j**4 + 2 - 5*j**3 - j**3 = 0.
-1, 1
Let c be (-3)/(0 - 9/24). Let -m**4 + c*m**3 - 8 + 6*m**2 - m**4 - 8*m + 4*m**4 = 0. What is m?
-2, -1, 1
Let g(b) = b**2 + 5*b + 6. Let s be g(-4). Suppose 1 = -3*v - 5*l, -v + s*l = 4*v - 19. Factor 4/3*o**v - 2/3*o**5 + 0 + 0*o**4 - 2/3*o + 0*o**2.
-2*o*(o - 1)**2*(o + 1)**2/3
Let o be (-4)/8*(-14 - -10). Determine h, given that -4/9 + 2/3*h + 2/9*h**4 - 2/3*h**3 + 2/9*h**o = 0.
-1, 1, 2
Let a(o) be the third derivative of -o**6/60 - o**5/30 + 13*o**2. Suppose a(l) = 0. Calculate l.
-1, 0
Let r = 11 + -2. Determine o, given that r*o**5 + 18*o**3 - 4 + 4 + 0*o**4 + 24*o**4 - 3*o = 0.
-1, 0, 1/3
Factor 3*a**3 - 40 + 3*a**2 + 81 - 41.
3*a**2*(a + 1)
Let t(j) be the first derivative of j**4/30 + j**3/5 + 2*j**2/5 + 5*j - 8. Let p(h) be the first derivative of t(h). Find c such that p(c) = 0.
-2, -1
Let f(u) be the first derivative of -8*u + 12*u**2 - 14/5*u**5 + 22/3*u**3 - 2 - 6*u**4. Solve f(n) = 0.
-2, -1, 2/7, 1
Let x(q) = -2*q**4 - q**5 + 7*q**4 - 6*q**4 + q**2 + q + 1. Let f(l) = 12*l**5 + 12*l**4 - 3*l**3 - 12*l**2 - 9*l - 9. Let d(j) = -f(j) - 9*x(j). Factor d(c).
-3*c**2*(c - 1)*(c + 1)**2
Let o(q) be the second derivative of 0*q**3 - 2/25*q**6 + 2/25*q**5 + 0*q**4 - 3*q + 0 + 0*q**2. Factor o(d).
-4*d**3*(3*d - 2)/5
Let w(f) be the second derivative of -f**8/240 - f**7/420 + 7*f**6/360 + f**5/60 - f**3/2 + 2*f. Let v(k) be the second derivative of w(k). Factor v(p).
-p*(p - 1)*(p + 1)*(7*p + 2)
Let q(b) be the second derivative of 0 - 1/50*b**5 - 2/15*b**4 - 1/3*b**3 - 2/5*b**2 - b. Suppose q(w) = 0. Calculate w.
-2, -1
Factor -1/3*a**2 - 16/3 + 8/3*a.
-(a - 4)**2/3
Factor -10/13*m - 6/13 - 2/13*m**2 + 2/13*m**3.
2*(m - 3)*(m + 1)**2/13
Suppose -4*l + 4*d + 48 = 0, 4*d = -d - 20. Suppose -l = 3*c - 5*c. Solve -1/2*t**2 + 0*t + 0 + 5/4*t**3 - 3/4*t**c = 0.
0, 2/3, 1
Let z(l) be the second derivative of -l**7/189 + l**6/135 + l**5/30 - 5*l**4/54 + 2*l**3/27 + 9*l + 1. Factor z(o).
-2*o*(o - 1)**3*(o + 2)/9
Let n be -1*3/((-9)/3). Let c(i) be the first derivative of -1/9*i**2 + 0*i**3 + 0*i + 1/18*i**4 + n. Factor c(v).
2*v*(v - 1)*(v + 1)/9
Let u = -8937/11 - -813. Factor 6/11*o**2 - 2/11*o**3 + 2/11 - u*o.
-2*(o - 1)**3/11
Let n(q) be the first derivative of -q**6/36 + q**5/10 + q**4/24 - q**3/6 + 4. Suppose n(r) = 0. What is r?
-1, 0, 1, 3
Factor 116*u**3 + 5*u - 26*u**4 + 6*u**4 - 156*u**2 - 41*u.
-4*u*(u - 3)**2*(5*u + 1)
Let d = -173 - -1213/7. Let p(i) be the first derivative of -1/14*i**4 - 3/7*i**2 - d*i**3 + 2 - 2/7*i. Factor p(m).
-2*(m + 1)**3/7
Let q = 228 - 226. Determine m, given that -2/11*m**q + 0*m + 0 = 0.
0
Let f = 35 + -35. Let m(k) be the third derivative of -1/1176*k**8 + 0*k + 1/420*k**6 + 0*k**4 + 0*k**5 - k**2 + 0*k**7 + 0 + f*k**3. Factor m(c).
-2*c**3*(c - 1)*(c + 1)/7
Let u(c) be the third derivative of 0*c**5 + 0*c + c**2 - 1/16*c**4 + 0 + 0*c**3 + 1/80*c**6. Factor u(t).
3*t*(t - 1)*(t + 1)/2
Let u(z) be the first derivative of 1/2*z**2 - 2 + 0*z - 1/3*z**3. Factor u(k).
-k*(k - 1)
Suppose -5*k + 45 = -2*k. Let w be ((-12)/k)/((-18)/15). Determine s, given that w + 0*s**3 + 2/3*s**4 + 0*s - 4/3*s**2 = 0.
-1, 1
Let u(p) = -p**5 - p**4 - p**3 + p**2 - 1. Let a(c) = -16*c**5 - 24*c**4 - 24*c**3 + 8*c**2 - 12. Let j(i) = a(i) - 12*u(i). Determine z so that j(z) = 0.
-1, 0
Let t(u) be the second derivative of -u**7/4200 + u**5/200 + u**4/4 - u. Let h(p) be the third derivative of t(p). Factor h(k).
-3*(k - 1)*(k + 1)/5
Let w = 0 + 1. Factor -4*k - 3 + 8 - w + k**2.
(k - 2)**2
Let t(j) be the second derivative of 3*j**7/14 - j**6/2 + 3*j**5/10 + 3*j. Let t(u) = 0. What is u?
0, 2/3, 1
Let v(m) = -m**2 + m - 3. Let k = 11 + -7. Let j(x) = -k + 2 + 1. Let u(q) = 3*j(q) - v(q). Factor u(i).
i*(i - 1)
Let b = 20 + -15. Let g(v) be the third derivative of 0*v**4 - 2*v**2 + 1/60*v**6 + 0*v - 1/30*v**b + 0*v**3 + 0. Factor g(i).
2*i**2*(i - 1)
Let o(s) be the first derivative of -3*s**3/5 + 3*s**2/10 + 6*s/5 + 59. Factor o(d).
-3*(d - 1)*(3*d + 2)/5
Suppose -1 + v**2 + 8/3*v = 0. Calculate v.
-3, 1/3
Let a(g) be the first derivative of g**3/2 + 3*g**2/4 - 3*g + 19. What is u in a(u) = 0?
-2, 1
What is s in 20/13*s**4 + 6/13*s**5 + 12/13*s**2 + 0 + 24/13*s**3 + 2/13*s = 0?
-1, -1/3, 0
Let w(q) be the second derivative of -q**7/8 + 3*q**6/4 - 15*q**5/8 + 5*q**4/2 - 15*q**3/8 + 3*q**2/4 + 3*q. Factor w(h).
-3*(h - 1)**4*(7*h - 2)/4
Let l = 100/3 - 33. Let h(c) be the third derivative of 0*c - 1/3*c**3 - 1/10*c**5 - c**2 - l*c**4 + 0. Factor h(x).
-2*(x + 1)*(3*x + 1)
Let h(c) = -c**3 - 5*c**2 - 2*c - 7. Let w be (-22)/4 - 3/(-6). Let o be h(w). Factor 0*v**2 + 4/3*v - 2/3*v**4 + 2/3 - 4/3*v**o.
-2*(v - 1)*(v + 1)**3/3
Let r(h) = 6*h**3 + 2*h**2 + 6*h + 7. Let w(s) = s**3 + s + 1. Let g(l) = r(l) - 5*w(l). Let c be g(-2). Determine j so that c - 2/3*j + 2/3*j**2 = 0.
0, 1
Let h(k) be the third derivative of 25*k**8/224 + 2*k**7/7 + 3*k**6/40 - k**5/5 + k**4/16 + 20*k**2. Solve h(d) = 0 for d.
-1, 0, 1/5
Factor -1/2*u**5 + 1/2*u**4 - 1/2*u + 1/2 - u**2 + u**3.
-(u - 1)**3*(u + 1)**2/2
Let h be 3/(-12) + 9/4. Factor -2*s**2 - h - 5*s + s + 3*s - 3*s.
-2*(s + 1)**2
Let d(j) be the second derivative of 0*j**6 + j + 1/105*j**7 + 1/15*j**3 + 0*j**2 - 1/25*j**5 + 0 + 0*j**4. Factor d(z).
2*z*(z - 1)**2*(z + 1)**2/5
Let h be (-16)/(-24) - (-74)/6. Let w = -10 + h. Factor 0 + s**w - 1/4*s**2 - 1/2*s + 3/4*s**4.
s*(s + 1)**2*(3*s - 2)/4
Let q be 364/70 + -2 + -2*1. Find i such that -q*i**4 - 27/5*i**3 - 33/5*i**2 + 12/5 + 0*i = 0.
-2, -1, 1/2
Let s = -7/9 + 163/117. Find f such that 8/13*f**3 + 0 + 2/13*f**5 + 0*f + 0*f**2 + s*f**4 = 0.
-2, 0
Let i(m) be the third derivative of m**7/105 - m**5/10 + m**4/6 - 8*m**2. Factor i(y).
2*y*(y - 1)**2*(y + 2)
Let g(i) be the third derivative of i**5/90 + i**4/12 - 2*i**2. Determine r, given that g(r) = 0.
-3, 0
Suppose -6*i = -4*i - 52. Solve -1 - 16*m + 33 + i*m**2 - 24*m**2 = 0 for m.
4
Suppose 3*h = 11 + 16. Let f be (2/3)/(2/h). Let -y**4 + 3*y**5 + 2*y**2 - 11*y**5 - 4*y**f - 13*y**4 = 0. What is y?
-1, 0, 1/4
Suppose 26/5*f**2 - 12/5*f**3 + 8/5 - 24/5*f + 2/5*f**4 = 0. What is f?
1, 2
Let c(f) = 2*f**2 + 8*f + 8. Let r be 13/3 + (-2)/6. Let w(a) = 0*a**2 - 8*a - 2*a**2 - 8 + 0*a**2. Let u(o) = r*c(o) + 5*w(o). Find h such that u(h) = 0.
-2
Let o(q) be the first derivative of 0*q**3 + 1/6*q**4 + 0*q + 0*q**2 + 5 - 1/15*q**5. Let o(r) = 0. Calculate r.
0, 2
Factor 0*i + 1/7*i**3 + 1/7*i**2 + 0.
i**2*(i + 1)/7
Determine n, given that -8/7*n**2 - 46/7*n + 12/7 = 0.
-6, 1/4
Let g be -18 + 20 + 0/(-2). Factor -g*p**3 + 4/3*p + 0 + 2/3*p**2.
-2*p*(p - 1)*(3*p + 2)/3
Let y(l) = l**3 + 6*l**2 + 13*l + 12. Let b be y(-3). Factor 36/5*o**2 - 4/5 + b*o.
4*(3*o - 1)*(3*o + 1)/5
Let v(d) be the third derivative of -d**6/72 + 5*d**4/72 - 15*d**2. Factor v(n).
-5*n*(n - 1)*(n + 1)/3
Let u = 63 - 63. Let y(q) be the second derivative of 0*q**5 + 2*q + 0*q**3 + u*q**2 + 0 - 1/63*q**7 + 0*q**4 + 2/45*q**6. Factor y(z).
-2*z**4*(z - 2)/3
Factor -46*s**5 - 4*s**3 + 6*s**4 + 62*s**5 + 6*s**4.
4*s**3*(s + 1)*(4*s - 1)
Let o(w) be the second derivative of -w**7/10080 + w**6/960 - w**5/240 - w**4/4 + 2*w. Let y(k) be the