 = -4*y. Suppose -y*t**2 + 48*t**3 - 12*t**2 + 3*t + 0*t**2 + 4*t**2 = 0. Calculate t.
0, 1/4
Let x(g) = -22*g**4 + 112*g**3 - 312*g**2 + 304*g - 8. Let y(d) = 8*d**4 - 38*d**3 + 104*d**2 - 102*d + 3. Let o(c) = 3*x(c) + 8*y(c). Factor o(i).
-2*i*(i - 12)*(i - 2)**2
Let v be 2/(-4) + -1 + 8/344*86. Factor -1/8*w**2 - 1/2 - v*w.
-(w + 2)**2/8
Let g(y) = -y**2 - y - 1. Suppose -5*u = 36 + 69. Let v = u - -22. Let h(z) = -6*z**2 - 3*z - 18. Let a(w) = v*h(w) - 9*g(w). Factor a(c).
3*(c - 1)*(c + 3)
Suppose 2*h = 6 + 6. Suppose j = 3*j - h. Let -j*x**4 + 6*x**2 + 5*x + 9*x**3 - x - 3*x + 7*x**4 = 0. Calculate x.
-1, -1/4, 0
Suppose -4*d - 50 + 74 = 0. Let h be ((-8)/(-6))/(20/d). Factor 1/5*c**2 + 0 - h*c.
c*(c - 2)/5
Suppose -2*f + 818 = 806. Let o(n) be the second derivative of 2/5*n**5 - 4*n**2 + 1/15*n**f - 4/3*n**3 + 0 - 7*n + 1/2*n**4. Find z such that o(z) = 0.
-2, -1, 1
Let i(n) be the third derivative of -n**6/24 - n**5/15 - n**4/12 + n**3 + 11*n**2. Let x(l) = 4*l**3 + 4*l**2 + l - 5. Let f(m) = -5*i(m) - 6*x(m). Factor f(u).
u*(u - 2)**2
Let u(i) be the third derivative of 0*i**3 - 32*i**2 + 0*i + 1/12*i**4 - 1/90*i**5 + 0. Factor u(t).
-2*t*(t - 3)/3
Suppose -2*w - w = h - 75, -5*w - 5*h + 135 = 0. Solve 21 + 3*s**2 + w*s + 9 - 4 + 22 = 0 for s.
-4
What is x in 298*x - 92*x**4 + 66*x**2 - 30*x**5 + 9 - 111*x + 7 - 115*x + 10*x**2 - 42*x**3 = 0?
-2, -1, -2/3, -2/5, 1
Let k(l) = l**2 - 26*l - 21. Let f(w) = 2*w**2 - 26*w - 20. Let v(u) = -3*f(u) + 4*k(u). Factor v(z).
-2*(z + 1)*(z + 12)
Let y(b) = 5*b**4 + 12*b**3 - 5*b**2 - 40*b - 24. Let x(n) = 21*n**4 + 48*n**3 - 18*n**2 - 159*n - 96. Let v(c) = 2*x(c) - 9*y(c). Factor v(m).
-3*(m - 2)*(m + 1)**2*(m + 4)
Let r(f) be the third derivative of 23/15*f**5 + 7*f**2 + 0*f + 10/3*f**4 + 0 + 7/30*f**6 + 8/3*f**3. Let r(q) = 0. Calculate q.
-2, -1, -2/7
Let s(y) be the first derivative of -y**5/35 - y**4/14 + 5*y**3/7 - 2*y**2/7 - 20*y/7 - 363. Factor s(q).
-(q - 2)**2*(q + 1)*(q + 5)/7
Factor -3267/2 - 1881/2*v - 1083/8*v**2.
-3*(19*v + 66)**2/8
Let c(l) be the first derivative of l**4/4 - 5*l**3 + 24*l**2 + 64*l + 72. Factor c(o).
(o - 8)**2*(o + 1)
Let s(y) be the first derivative of 4*y**5/5 - 3*y**4 - 4*y**3 + 14*y**2 + 24*y + 14. Determine u, given that s(u) = 0.
-1, 2, 3
Suppose 5*l - 3*y = 18, 5*y + 6 = 1. Let m = -277/2 - -416/3. Determine w, given that -1/6*w**4 + 0 - 1/6*w**l + 1/6*w + m*w**2 = 0.
-1, 0, 1
Factor -4/11*n**4 + 2/11*n**5 + 2/11*n**3 + 0*n + 0*n**2 + 0.
2*n**3*(n - 1)**2/11
Suppose 0 = -12*q + 8*q. Factor h**3 + 108*h**2 - 107*h**2 + 0*h + q*h.
h**2*(h + 1)
Let p be -1*(-12)/(-21) + (-6)/(-7). Find o, given that -2/7*o**3 - p*o + 4/7*o**2 + 0 = 0.
0, 1
Factor -256/7*c + 8192/7 + 2/7*c**2.
2*(c - 64)**2/7
Let s = 16 - 125/8. Let u(z) be the first derivative of 6 + 3/10*z**5 - s*z**2 + 0*z**4 - 1/2*z**3 + 0*z + 1/8*z**6. Factor u(k).
3*k*(k - 1)*(k + 1)**3/4
Let q(j) be the second derivative of -j**4/4 + 7*j**3/2 + 45*j**2 - 159*j. Factor q(s).
-3*(s - 10)*(s + 3)
Factor -7 - 8 + 0 - 3*p**2 + 3 + 12*p.
-3*(p - 2)**2
Let a be (4 - 3 - -1) + (-54)/28. Let h(c) be the second derivative of 0*c**3 + a*c**2 + 0 - c - 1/84*c**4. Suppose h(i) = 0. What is i?
-1, 1
Determine k so that -3*k**3 + 321/5*k**2 - 132/5 + 204/5*k = 0.
-1, 2/5, 22
Find g, given that 16/9 + 4/3*g + 2/9*g**2 = 0.
-4, -2
Solve 2/7*i**4 + 8/7*i - 8/7 + 6/7*i**2 - 8/7*i**3 = 0.
-1, 1, 2
Let v(p) be the third derivative of -p**6/24 + p**5/6 - 5*p**4/24 + p**2 + 77. Let v(j) = 0. What is j?
0, 1
Let f(a) be the third derivative of 8/105*a**5 + 0*a + a**2 + 0 + 0*a**3 - 1/84*a**6 - 1/105*a**7 - 1/21*a**4. Suppose f(p) = 0. Calculate p.
-2, 0, 2/7, 1
Solve -73/2*u + 35/2*u**2 + 1/2*u**3 + 37/2 = 0.
-37, 1
Let h(x) be the third derivative of -x**7/420 + x**6/30 - x**5/5 + 2*x**4/3 - 11*x**3/3 - 5*x**2. Let t(m) be the first derivative of h(m). Factor t(b).
-2*(b - 2)**3
Let i(s) be the first derivative of 4/3*s**3 + 17 - 4*s + 2*s**4 - 1/3*s**6 - 3*s**2 + 0*s**5. Let i(d) = 0. Calculate d.
-1, 1, 2
Let q(n) = 3*n**3 + 46*n**2 + 115*n + 64. Let o(u) = -2*u**3 + u**2 - 1. Let l(r) = 4*o(r) + q(r). Factor l(g).
-5*(g - 12)*(g + 1)**2
Let f(w) be the second derivative of -7*w**5/4 - 55*w**4/3 - 125*w**3/2 - 45*w**2 + 52*w. Factor f(k).
-5*(k + 3)**2*(7*k + 2)
Let h be (-3)/2*552/(-966). Factor h*f**2 + 0 - 30/7*f.
6*f*(f - 5)/7
Let l be (-4)/(-3)*10/8. What is j in -4/3*j**3 - 1/3*j**4 - l*j**2 - 2/3*j + 0 = 0?
-2, -1, 0
Suppose 173*y = 62*y + 666. Let c(u) be the first derivative of 3/4*u + 1/2*u**3 - 13 + 3/8*u**4 - 9/8*u**2 + 1/8*u**y - 9/20*u**5. Find v, given that c(v) = 0.
-1, 1
Let a(m) = -5 - 10*m**3 - 3*m**2 + 0*m**4 + 10*m - 2 + 10*m**4 + 0*m**2. Let c(d) = 3*d**4 - 3*d**3 - d**2 + 3*d - 2. Let x(w) = -2*a(w) + 7*c(w). Factor x(p).
p*(p - 1)**2*(p + 1)
Suppose -3/4*b**2 + 1/4*b**3 - 1/2 + 1/4*b**4 - 5/4*b = 0. What is b?
-1, 2
Let f(a) be the first derivative of a**4/6 - 116*a**3/9 + 841*a**2/3 - 169. Solve f(o) = 0.
0, 29
Let f(o) be the first derivative of -o**5/12 - 35*o**4/12 - 245*o**3/6 - 10*o**2 - 9. Let t(r) be the second derivative of f(r). Factor t(n).
-5*(n + 7)**2
Let u = 55 + -55. Let j(s) be the third derivative of -4*s**2 - 1/25*s**5 + 1/200*s**6 + 0*s + 0 + u*s**3 + 1/10*s**4. Determine v so that j(v) = 0.
0, 2
Factor 0 + 8/5*q**3 - 44/5*q + 174/5*q**2.
2*q*(q + 22)*(4*q - 1)/5
Let s(p) be the first derivative of 0*p - 10/3*p**3 - 2*p**4 + 6/5*p**5 - 43 + 2*p**2. What is x in s(x) = 0?
-1, 0, 1/3, 2
Let w = 18426/11515 + -2/11515. What is u in -4/5 + w*u - 3/5*u**2 = 0?
2/3, 2
Let v(r) be the second derivative of r**5/20 - 10*r**4/3 - r**3/6 + 20*r**2 + 2*r + 57. Let v(a) = 0. What is a?
-1, 1, 40
Factor 105 - 3/2*h**2 - 9/2*h.
-3*(h - 7)*(h + 10)/2
Let f(p) = 2*p**3 + 60*p**2 - 127*p + 34. Let s be f(-32). Suppose 2/5*u**s + 2/5*u - 4/5 = 0. Calculate u.
-2, 1
Factor -540*x**2 + 6075/2*x - 3/4*x**4 + 69/2*x**3 - 10125/4.
-3*(x - 15)**3*(x - 1)/4
Let h be (2/3)/(30/135). Let g = 49 - 635/13. Factor 8/13 + 10/13*u**2 - g*u**h - 16/13*u.
-2*(u - 2)**2*(u - 1)/13
What is c in -48/23*c + 30/23*c**4 + 8/23 - 90/23*c**2 - 4/23*c**3 = 0?
-1, 2/15, 2
Let r be (-2)/(-8)*-7 - (-6555)/3220. Factor 0 + r*k + 2/7*k**2.
2*k*(k + 1)/7
Find n such that 5/6*n - 1/6*n**3 - 1/2*n**2 + 1/6*n**4 - 1/3 = 0.
-2, 1
Let l(v) be the third derivative of -1/160*v**6 + 34*v**2 + 0*v + 0*v**3 + 1/448*v**8 - 1/80*v**5 + 0 + 1/280*v**7 + 0*v**4. Determine o so that l(o) = 0.
-1, 0, 1
Suppose -6*d + 5 = 13*d - 33. Find f such that -4/9*f**5 + 4/9*f**d - 2/9*f**4 - 2/9 - 4/9*f + 8/9*f**3 = 0.
-1, -1/2, 1
Let a(p) = -p**3 + p**2 - p + 1. Let g(u) = 7*u**3 + 2*u**2 + 9*u - 4. Let o(w) = -5*a(w) - g(w). Let f be o(-3). Factor -2/11*t**f - 2/11 + 4/11*t.
-2*(t - 1)**2/11
Suppose 2*t + 88 = 4*t. Let o be 8/t - 20/(-11). Factor 6*i**2 - 2*i**2 - 3*i**o.
i**2
Suppose 0 = 5*v - 10. Factor -v*d**2 - 4*d**4 + d**2 - 3*d**2 + 8*d**3.
-4*d**2*(d - 1)**2
Let k(f) be the third derivative of -f**8/47040 - f**7/2352 - f**6/420 + f**5/15 - 5*f**3/3 + 6*f**2 + f. Let v(g) be the third derivative of k(g). Factor v(j).
-3*(j + 1)*(j + 4)/7
Let a(q) be the second derivative of 0*q**5 + 0*q**2 - 7/6*q**3 + 1/120*q**6 + 4*q + 0*q**4 + 0. Let p(u) be the second derivative of a(u). Factor p(t).
3*t**2
Let n(i) be the first derivative of 0*i + 2*i**2 + 2 + i**3 - 9/20*i**5 - 3/8*i**4. Let a(d) be the second derivative of n(d). Solve a(j) = 0 for j.
-2/3, 1/3
Let c(n) = 2*n**2 + 4*n + 2. Let l be c(-2). Solve -3*x**2 - l*x**3 + 6*x**4 - 2 - 2 - 4*x**4 + 8*x - x**4 = 0 for x.
-2, 1, 2
Factor 1/3*d**2 + 5/3*d + 2.
(d + 2)*(d + 3)/3
What is z in -6*z + 103 - 196 - 2*z**2 + 89 = 0?
-2, -1
Let n(a) = -a**3 - 9*a**2 + 10*a + 2. Suppose 2*r = 2, 5*l - 4*r = r - 55. Let f be n(l). Factor -5*m + 5/4*m**f + 5.
5*(m - 2)**2/4
Factor 0 + 2/5*h**4 + 6/5*h + 14/5*h**2 + 2*h**3.
2*h*(h + 1)**2*(h + 3)/5
Let b be (13 - (-8 + 10) - 8) + 98/(-34). Suppose -16/17 + b*i**2 - 4/17*i = 0. Calculate i.
-2, 4
Determine j, given that 1/5*j**4 + 24/5*j + 8/5*j**3 + 22/5*j**2 + 9/5 = 0.
-3, -1
Let l(v) = 63*v - 252. Let c be l(4). Factor c - 2/5*g**3 - 8/5*g - 8/5*g**2.
-2*g*(g + 2)**2/5
Solve -44/19*p**3 - 2/19*p + 0 + 46/19*p**2 = 0 for p.
0, 1/22, 1
Let k(g) be the third