 8/7*x**2 = 0.
-1, -1/4
Suppose -6*i = -i + x - 12, 4*i + 2*x - 6 = 0. Find u such that 58*u**4 + 16*u**i - 4*u**2 - 39*u**2 - 10*u**4 + 20*u**5 - 8 + 3*u**2 - 36*u = 0.
-1, -2/5, 1
Let u(n) be the third derivative of -n**7/945 + 11*n**2. Factor u(i).
-2*i**4/9
Let x(r) be the first derivative of -1/180*r**6 - 1 + 1/60*r**5 + 0*r**2 + 0*r**4 + 0*r + r**3. Let s(l) be the third derivative of x(l). Factor s(f).
-2*f*(f - 1)
Factor -3*v**2 - 6 + 5*v + 3*v**2 - v**2 + 0.
-(v - 3)*(v - 2)
Find w, given that w + 21*w**3 - 5*w + 2 - 14*w**2 - 29*w**3 = 0.
-1, 1/4
Let r(q) be the second derivative of -5*q**4/12 + q**3/2 + q**2 - q. Factor r(y).
-(y - 1)*(5*y + 2)
Let c(q) be the first derivative of -2*q**4 + 3*q**2 + 0*q**5 + 1/3*q**6 - 2 - 4*q + 4/3*q**3. Determine r, given that c(r) = 0.
-2, -1, 1
Let u = -21 + 26. Let x(y) be the third derivative of 1/9*y**3 - 1/90*y**u + 1/36*y**4 + 0 - 1/180*y**6 + 0*y + 3*y**2. Find s, given that x(s) = 0.
-1, 1
Let p be ((-12)/(-30))/(9/825). Let u = p - 36. Let 2/3 - u*r**2 + 0*r = 0. Calculate r.
-1, 1
Let v(w) = 5*w**4 - 5*w**3 - 7*w**2 + 7*w + 2. Let s(b) = 19*b**4 - 20*b**3 - 27*b**2 + 29*b + 8. Let y(u) = -2*s(u) + 9*v(u). Find f, given that y(f) = 0.
-1, -2/7, 1
Let g be 14/(-50) + -1 + 2. Let o = g - 112/225. Factor 0*l + 0 - o*l**2 - 2/9*l**3.
-2*l**2*(l + 1)/9
Let u(w) = w**2 - 6*w - 3. Let s be u(7). Suppose -5*o + s = -6. Solve a**4 + 0*a**4 + 4*a**2 - 5*a**4 - 2*a + o*a**5 = 0 for a.
-1, 0, 1
Let s be 95/45 + 0/(-2) + -1. Let 2/9*b**3 - 2/9*b**4 - s*b + 2/3*b**2 + 4/9 = 0. Calculate b.
-2, 1
Let o(d) be the third derivative of 0*d**4 + 7*d**2 + 1/840*d**6 + 0*d + 0*d**3 - 1/420*d**5 + 0. Factor o(y).
y**2*(y - 1)/7
Determine m, given that m**2 - 3/8*m**3 + 0 - 1/2*m = 0.
0, 2/3, 2
Let o(x) = -2*x. Let d be o(-2). Determine m so that -2*m**4 - 9*m**5 - 12*m**2 + 4*m - 2*m**5 - 4*m**d + 13*m**3 + 12*m**5 = 0.
0, 1, 2
Find v such that 25/4*v + 5/4*v**2 + 15/2 = 0.
-3, -2
Let g be 6/(-21) + (-2)/(-7). Factor -t**2 + 5*t - 3*t + g - 1.
-(t - 1)**2
Factor 4*o - o - 3 - 3*o**2 + 4*o - o.
-3*(o - 1)**2
Let h(z) be the third derivative of 0 - 1/12*z**3 + 1/24*z**4 - 1/120*z**5 + 2*z**2 + 0*z. Factor h(j).
-(j - 1)**2/2
Factor -9/4*z**5 + 0 + 6*z**4 + 3/2*z**2 - 21/4*z**3 + 0*z.
-3*z**2*(z - 1)**2*(3*z - 2)/4
Let u(l) be the second derivative of -1/7*l**3 - 2/7*l**2 + 0 + 2*l - 1/42*l**4. Let u(w) = 0. Calculate w.
-2, -1
Suppose 14 = -2*r + 4*r. Let v = -4 + r. Factor 9*g**2 - 3*g**v + 8*g + 4 - 4*g**2 + 4*g**3.
(g + 1)*(g + 2)**2
Let u(s) = 15*s**2 - 15. Let x(l) = -3*l**2 + 3. Let z(y) = 2*u(y) + 11*x(y). Factor z(j).
-3*(j - 1)*(j + 1)
Let l(n) = n - 1. Let d(j) = j**3 - j**2 - 2. Let s(r) = 3*d(r) - 6*l(r). Solve s(w) = 0.
-1, 0, 2
Let c(n) = 5*n**3 - 2*n**2. Let f be c(1). Factor 0*x**f + 1/4 - 1/2*x**2 + 0*x + 1/4*x**4.
(x - 1)**2*(x + 1)**2/4
Let z(u) be the third derivative of -u**7/42 + u**6/12 + 5*u**2. Let z(c) = 0. Calculate c.
0, 2
Let u(r) = 10*r. Let g be u(2). Suppose 0 = -2*p + 3*f + 13, 3*p - f - g = 4*f. Find h such that 7*h**3 - h**3 + 4*h - p*h**3 + 4*h**2 = 0.
-2, 0
Let f(o) = 6*o**3 - 6*o**2 - 3*o + 3. Let d(s) = -5*s**3 + 6*s**2 + 2*s - 2. Let y be (-3)/(-2) + (-36)/(-24). Let m(r) = y*d(r) + 2*f(r). Factor m(t).
-3*t**2*(t - 2)
Let d be ((-3)/(-4))/((-7)/(-28)). Suppose -4*m - 5*p + 40 = m, -3*m = -d*p - 12. Factor -m*i + 3*i + 2*i - i**2.
-i*(i + 1)
Let y be 30/(-35)*28/(-18). Let l = 233/75 + -11/25. Solve -p**3 + l*p**2 - y*p + 0 = 0 for p.
0, 2/3, 2
Let w be (-26)/(-10) + 8/20. Let q be 10/w - (-12)/6. Factor 0 - q*m**3 + 4/3*m - 10/3*m**4 - 2/3*m**2.
-2*m*(m + 1)**2*(5*m - 2)/3
Let g(v) be the first derivative of v**6/27 - 2*v**5/45 - v**4/6 + 10*v**3/27 - 2*v**2/9 - 28. Find x such that g(x) = 0.
-2, 0, 1
Let h(c) = -2*c**2 - 2*c - 7. Suppose 0 = m + m. Let r be -2 + m + 18/2. Let o(x) = x**2 + x + 3. Let q(a) = r*o(a) + 3*h(a). Solve q(w) = 0.
-1, 0
Let f(k) be the second derivative of k**6/180 - k**4/36 + k**2/12 - 39*k. Suppose f(h) = 0. What is h?
-1, 1
Suppose 0 = 2*t - 0*t + 2, 4*t - 4 = -4*i. Factor 0 - 4/3*o**i + 2/3*o + 2/3*o**3.
2*o*(o - 1)**2/3
Let y(i) be the second derivative of i**4/90 - 2*i. Factor y(b).
2*b**2/15
Let b(r) be the first derivative of -3*r**6 + 39*r**5/5 - 3*r**4/2 + 67. Factor b(h).
-3*h**3*(h - 2)*(6*h - 1)
Let q = 14/33 - -5/66. Suppose q*g - 1/4*g**2 - 1/4 = 0. Calculate g.
1
Suppose 0 = 9*u - 13*u + 12. Factor 1/2*z**u - 1/4*z**4 + 1/2*z**2 - 1/4 - 1/4*z**5 - 1/4*z.
-(z - 1)**2*(z + 1)**3/4
Let l(u) = 3*u**4 + 23*u**3 + 118*u**2 + 173*u + 115. Let a(n) = n**4 + 8*n**3 + 39*n**2 + 58*n + 38. Let h(x) = 14*a(x) - 4*l(x). Factor h(y).
2*(y + 2)**2*(y + 3)**2
Let w = 3 - 2. Let o(y) = 2*y**2 + 10*y - 16. Let c(j) = j - 1. Let s(u) = w*o(u) - 12*c(u). Determine x so that s(x) = 0.
-1, 2
Let w(p) = 2*p + 14. Let a be w(-6). Determine j, given that -72/5*j**a + 147/5*j**4 + 12/5*j + 0 + 63/5*j**3 = 0.
-1, 0, 2/7
What is b in -6/11*b + 4/11 + 6/11*b**3 - 2/11*b**2 - 2/11*b**4 = 0?
-1, 1, 2
Let b(q) be the first derivative of -q**6/10 - 2*q**5/5 - 2*q**4/3 + 8*q**3/3 + 9. Let i(d) be the third derivative of b(d). Factor i(s).
-4*(3*s + 2)**2
Let c = 71/205 + -6/41. Factor 0 - 1/5*m**3 - c*m - 2/5*m**2.
-m*(m + 1)**2/5
Let x(n) = 48*n**2 - 28. Let t(y) = 7*y**2 - 4. Let a(h) = 20*t(h) - 3*x(h). Solve a(z) = 0 for z.
-1, 1
Let h be (-56)/(-32) + 2/8. Suppose -l + 3 = 1. Factor -2 + b**2 + b - b**l - b**h + 2*b.
-(b - 2)*(b - 1)
Let p(w) be the first derivative of 2*w**3/3 + 6*w**2 + 16*w + 38. Factor p(h).
2*(h + 2)*(h + 4)
Let p(m) = m - 1 + 1 - 2*m. Let k(z) = 2 + 4*z**2 + 8*z - 2 + z**3. Let b(o) = k(o) + 4*p(o). Factor b(y).
y*(y + 2)**2
Factor -10*c**3 + 2*c**2 - 2*c**4 + 8*c**3 + 2*c**3.
-2*c**2*(c - 1)*(c + 1)
Suppose -6*k + 7*k = 6. Factor 3/4 + 12*f**2 + k*f.
3*(4*f + 1)**2/4
Let v(j) be the first derivative of -3 - 3/10*j**2 - 1/5*j**3 + 6/5*j. Determine b, given that v(b) = 0.
-2, 1
Let j(a) = 2*a**5 + a**4 + a**3 + 5*a**2 + 3. Let p(d) = 18*d**5 + 8*d**4 + 8*d**3 + 44*d**2 + 26. Let f(y) = -52*j(y) + 6*p(y). Factor f(v).
4*v**2*(v - 1)**2*(v + 1)
Let v(c) = 8*c**2 + 4. Let y(h) = -17*h**2 - h - 9. Let s(t) = 9*v(t) + 4*y(t). Find m such that s(m) = 0.
0, 1
Let q(p) be the third derivative of -11*p**8/1344 - p**7/20 - 29*p**6/240 - 2*p**5/15 - p**4/32 + p**3/12 + 4*p**2 + 3. Factor q(o).
-(o + 1)**4*(11*o - 2)/4
Let w be (-1)/(-2 + (-172)/(-88)). Let r be (-4)/w + 72/154. Determine o so that 8/7*o + 8/7 + r*o**2 = 0.
-2
Let x = 8 + -15/2. Suppose 0 = -4*d + 8*d. Factor d*g - x + 1/2*g**2.
(g - 1)*(g + 1)/2
Let d(u) be the second derivative of u**6/360 + u**5/60 + u**4/24 - 2*u**3/3 - 3*u. Let o(n) be the second derivative of d(n). Determine h so that o(h) = 0.
-1
Let n = -49/2 - -25. Suppose 5*s = 19 - 4. Factor 0 + 0*u + n*u**4 + 1/2*u**2 + u**s.
u**2*(u + 1)**2/2
Let w(i) = -i. Let d be w(-3). Let j be 63/175*(d - -2). Determine m so that -11/5*m**4 + 0 - j*m**3 - 1/5*m**2 - 4/5*m**5 + 1/5*m = 0.
-1, 0, 1/4
Factor 0*j - 2*j**4 + 0 + 0*j**2 + 4/7*j**3.
-2*j**3*(7*j - 2)/7
Let j(i) be the first derivative of -i**4/4 + 8*i**3/15 + 2*i**2/5 + 10. Determine a so that j(a) = 0.
-2/5, 0, 2
Find u, given that 33*u - 3*u**3 + 8*u**3 - 3*u + 30*u**2 + 15*u + 20 = 0.
-4, -1
Let s(b) = -5*b + 6. Let n(q) = -q + 1. Let u(z) = 11*n(z) - 2*s(z). Let w be u(-3). Find r, given that 9*r - 5*r - r**w - r**2 = 0.
0, 2
Suppose 0 = -5*c + 5 + 5. Solve -3 - 3*b**2 - 4*b**2 + c*b**4 + 3*b**2 + 5 = 0 for b.
-1, 1
Let p = -2/531 - -22843/2655. Let f = -109/15 + p. Solve j**3 - 4/3*j - f*j**2 + 0 = 0.
-2/3, 0, 2
Let r(t) be the second derivative of -7*t**5/130 + 20*t**4/39 - 17*t**3/13 - 18*t**2/13 + 18*t. Let r(b) = 0. Calculate b.
-2/7, 3
Let u(o) be the second derivative of -5*o**7/147 - 11*o**6/105 - o**5/10 - o**4/42 - 30*o. Factor u(l).
-2*l**2*(l + 1)**2*(5*l + 1)/7
Let z(i) be the second derivative of -i**5/50 - i**4/6 + 2*i**3/5 - 25*i. Let z(a) = 0. Calculate a.
-6, 0, 1
Let u(j) be the second derivative of j**5/5 + 10*j**4/3 + 50*j**3/3 + 7*j + 3. Factor u(c).
4*c*(c + 5)**2
Factor 0*p + 0 - 1/8*p**5 + 0*p**2 + 1/4*p**4 + 0*p**3.
-p**4*(p - 2)/8
Suppose -9 = -4*v - 1. Suppose 4*o - v - 6 = 0. Factor 3*k + 3*k**o - 5*k + 0*k**4 - k**4.
-k*(k - 1)**2*(k