2*t - n*t**3 + 5*t + 3*t**3 - s*t**3.
-3*t*(t - 1)*(t + 1)
Let x(o) be the first derivative of 8/3*o - 4/3*o**2 + 5 + 2/9*o**3. Factor x(q).
2*(q - 2)**2/3
Determine h so that -6*h**2 + 2/7*h**3 + 42*h - 98 = 0.
7
Let q(g) be the first derivative of 1/4*g**3 + 3*g + 3/2*g**2 + 11. Factor q(l).
3*(l + 2)**2/4
Let k = -65 - -76. Let j be k/(-5) - (0 - 3). Factor j*m - 6/5*m**2 + 0*m**3 + 2/5*m**4 + 0.
2*m*(m - 1)**2*(m + 2)/5
Let -2*j + 28/5 - 16/5*j**2 - 2/5*j**3 = 0. What is j?
-7, -2, 1
Suppose 40 = -3*s + 43. Let -36 - 32 - s - 475*m**2 + 125*m**3 + 320*m + 9 = 0. What is m?
2/5, 3
Let n(j) be the third derivative of -j**6/480 + 3*j**5/40 - 11*j**4/32 + 2*j**3/3 - 2*j**2 - 40. Factor n(o).
-(o - 16)*(o - 1)**2/4
Let t(y) be the second derivative of y**6/30 - 17*y**4/12 + 6*y**3 - 10*y**2 + 40*y + 3. Determine g so that t(g) = 0.
-5, 1, 2
Let h = -5813/8 - -727. Solve 3/8*u**3 - h*u**2 + 0 - 3/4*u = 0.
-1, 0, 2
Let t(d) be the second derivative of 2*d**6/3 + 32*d**5/5 + 67*d**4/3 + 104*d**3/3 + 24*d**2 - 300*d. Let t(z) = 0. What is z?
-3, -2, -1, -2/5
Let b(s) be the second derivative of 1/20*s**5 + 5/12*s**4 - 10*s + 0 + s**3 + 0*s**2. Factor b(m).
m*(m + 2)*(m + 3)
Let v(j) be the first derivative of -2*j**3/21 - j**2/7 + 56. Factor v(x).
-2*x*(x + 1)/7
Let g = -589 - -599. Let c(m) be the second derivative of -1/5*m**5 + 0 + 0*m**2 + 2/3*m**4 - 2/3*m**3 - g*m. Factor c(z).
-4*z*(z - 1)**2
Let z(v) = v**2 - v. Let l(t) = 6*t**2 - 12*t - 12. Let b(x) = l(x) - 3*z(x). Factor b(w).
3*(w - 4)*(w + 1)
Let t be (-6390)/(-4950) + (-3)/33. Suppose -6/5*l**2 - 2/5 - t*l - 2/5*l**3 = 0. Calculate l.
-1
Find x, given that 2*x**2 - 557 + 62*x + 0*x**2 - 3*x**2 - 404 = 0.
31
Let s be (-138 - 6)/16 - 2*-7. Let f = -27/52 + 10/13. Suppose -f*k**s + 0 - 1/4*k**2 + 1/4*k**4 + 1/4*k**3 + 0*k = 0. Calculate k.
-1, 0, 1
What is s in 68/5 - 278/5*s**2 + 202/5*s + 8/5*s**3 = 0?
-1/4, 1, 34
Let t(h) = -3*h**2 + 13*h + 10. Let d(i) = -2*i**2 + 6*i + 4. Let u(v) = 5*d(v) - 2*t(v). Factor u(s).
-4*s*(s - 1)
Let d = -3 - -5. Let n = d - -1. Factor -8*c**3 + 10*c**3 - 5*c**n + 3*c.
-3*c*(c - 1)*(c + 1)
Let p(k) = 7*k**3 - 7*k**2 - 10*k + 2. Let b(g) = 120*g**3 - 120*g**2 - 170*g + 35. Let m(j) = -2*b(j) + 35*p(j). Factor m(n).
5*n*(n - 2)*(n + 1)
Suppose -2*q + 35 = h, 0*q - 3*h = 3*q - 51. Let o be (-3)/q + (-38)/(-12). Factor 3*u + 6*u - 1 + 4 + o - 3*u**3.
-3*(u - 2)*(u + 1)**2
Let x(m) be the first derivative of -m**6/1080 + m**5/45 - 2*m**4/9 - 35*m**3/3 - 4. Let t(r) be the third derivative of x(r). Factor t(y).
-(y - 4)**2/3
Factor -1/5*j + 13/5 + 1/5*j**3 - 13/5*j**2.
(j - 13)*(j - 1)*(j + 1)/5
Let q(o) = -132*o**2 + 112 + 4*o - 18*o + 134*o**2. Let k(b) = -b - 1. Let i(a) = 28*k(a) + 2*q(a). What is r in i(r) = 0?
7
Suppose -4*v + 0*v + 161 = -b, 4*v = 4*b + 176. Let m be v/1*(-1)/(-3). Find q such that -11 + 24*q + m - 4*q**2 - 21 - 17 = 0.
3
Let h(z) be the second derivative of z**4/3 + 46*z**3/3 + 44*z**2 + 2*z - 23. Solve h(b) = 0 for b.
-22, -1
Let l be (-25)/15 - (-8)/(-6)*(-308)/112. Factor 32/19*y + 80/19*y**l + 20/19*y**4 + 0 + 2/19*y**5 + 66/19*y**3.
2*y*(y + 1)**2*(y + 4)**2/19
Factor -2/5*t**2 - 6728/5 + 232/5*t.
-2*(t - 58)**2/5
Factor -22691*f + 1000*f**3 - 11808*f**2 + 19675 - 28*f**4 - 5851 + 67619*f.
-4*(f - 12)**3*(7*f + 2)
Let i be ((-3*3)/(147/(-14)))/(105/70). Determine m so that 0*m - i*m**2 - 4/7*m**3 + 0 = 0.
-1, 0
Let k = 489 - 2933/6. Let t(l) be the second derivative of 0*l**3 - 1/30*l**5 + k*l**4 - 4/3*l**2 - l + 0. Factor t(d).
-2*(d - 2)**2*(d + 1)/3
Let q(y) = -y**2. Let u(w) = -4*w**2 - 16*w + 13. Let z(s) = 5*q(s) - u(s). Let f be z(15). Factor 1 + 34*b**3 + 22*b + 50*b**f - 10*b**4 - 92*b**2 - 5.
-2*(b - 1)**3*(5*b - 2)
Let 3/2*b**3 + 2*b + 3*b**2 + 0 + 1/4*b**4 = 0. What is b?
-2, 0
Let r(c) = 13*c**5 - 21*c**4 - 29*c**3 - 10*c**2. Let u(o) = -32*o**5 + 52*o**4 + 72*o**3 + 24*o**2. Let y(k) = -12*r(k) - 5*u(k). Determine p so that y(p) = 0.
-1, 0, 3
Let a be (-64 - -78)/((-14)/(-4)). Determine h so that 10*h - 25/2*h**5 + 17*h**2 - 40*h**a - 49/2*h**3 - 4 = 0.
-2, -1, 2/5
Let y be (-13 - -25)*1/2. Let s(b) be the first derivative of 0*b + 4 - 1/7*b**3 - 1/14*b**y - 9/28*b**4 + 0*b**2 - 9/35*b**5. Factor s(k).
-3*k**2*(k + 1)**3/7
Let f(x) = -x - 3. Let d be f(-3). Suppose d = 3*r - 2*r - 4. Solve 4*i**2 + 4*i**2 - 8*i**2 + r*i**2 - 4*i = 0 for i.
0, 1
Let b be 0/(-2)*2/(-4). Suppose 5*m - g - 8 + b = 0, -3*m + g = -6. Factor -4 - 9*t**2 + m + 6*t + 6.
-3*(t - 1)*(3*t + 1)
Let p be (5 - 24/12)*(-130)/(-91). Factor 36/7 + 6/7*k**3 - p*k - 2*k**2 + 2/7*k**4.
2*(k - 2)*(k - 1)*(k + 3)**2/7
Let g = -19262/5 - -3853. Factor 3/5 + 0*m - g*m**2.
-3*(m - 1)*(m + 1)/5
Let a(l) be the first derivative of 4*l**3/3 + 48*l**2 + 576*l + 80. Factor a(s).
4*(s + 12)**2
Let z(q) = 4*q**2 - 23*q + 19. Suppose 0 = 3*x - 26 + 8. Let h(t) = -2*t**2 + 11*t - 9. Let n(a) = x*z(a) + 14*h(a). Let n(d) = 0. What is d?
1, 3
Let z = 24 - 30. Let i(l) = l**3 + 5*l**2 - 5*l + 6. Let a be i(z). Factor 2/9*m**4 - 2/9*m + a - 2/3*m**3 + 2/3*m**2.
2*m*(m - 1)**3/9
Let b(z) = -2*z - 8. Let r be b(-5). Factor 9*u**4 + 2*u**3 - 7*u**4 - 5*u**2 + 3*u**r - 2*u.
2*u*(u - 1)*(u + 1)**2
Let p(g) be the third derivative of g**5/15 - 9*g**4 + 486*g**3 + 17*g**2. Let p(o) = 0. Calculate o.
27
Let x(b) = -3*b**4 + 3*b**3 + 6*b**2 - 4*b. Let a(g) = 19*g**2 + 11 - 11 - 10*g**4 + 10*g**3 - g - 11*g. Let v(h) = -4*a(h) + 14*x(h). Factor v(r).
-2*r*(r - 2)*(r - 1)*(r + 2)
Let l(m) be the first derivative of m**6/24 + 3*m**5/4 + 15*m**4/8 - 95*m**3/6 + 225*m**2/8 - 81*m/4 - 348. What is t in l(t) = 0?
-9, 1
Suppose -2/5*f**5 + 208/5*f**2 + 44/5*f**4 + 0*f + 0 + 40*f**3 = 0. What is f?
-2, 0, 26
Solve -2/9*u**2 + 28/9*u + 0 = 0 for u.
0, 14
Let g(j) = -6*j**2 - 5*j**3 - 16*j + 3*j**4 - 2*j**5 + 12*j + 9*j. Let w(t) = 2*t**5 - 3*t**4 + 6*t**3 + 7*t**2 - 6*t. Let n(p) = 6*g(p) + 5*w(p). Factor n(z).
-z**2*(z - 1)**2*(2*z + 1)
Let r(h) be the first derivative of 5*h**8/336 - h**6/12 + 5*h**4/24 + 4*h**2 - 12. Let x(u) be the second derivative of r(u). Determine z, given that x(z) = 0.
-1, 0, 1
Let u(i) = 3*i**2 - 2*i + 5. Suppose 11 = -3*g + 14. Let y(q) = g - 1 + q + 2*q**2 + 4 - 3*q. Let z(h) = -4*u(h) + 5*y(h). Factor z(t).
-2*t*(t + 1)
Suppose -72 = -38*k + 30 + 12. Determine u, given that 1/9*u**k + 0*u + 0*u**4 + 0*u**2 - 1/9*u**5 + 0 = 0.
-1, 0, 1
Let r(l) be the third derivative of -l**8/588 - 2*l**7/245 + 145*l**2. Factor r(j).
-4*j**4*(j + 3)/7
Suppose -35*a + 12*a = 0. Let i(k) be the third derivative of 8*k**2 + 1/280*k**7 + 0*k**4 + 0*k**6 + a*k + 1/8*k**3 + 0 - 1/40*k**5. What is f in i(f) = 0?
-1, 1
Let w(q) be the third derivative of q**8/84 - 2*q**7/35 - q**6/5 + 8*q**5/15 - 72*q**2 - 2. Solve w(r) = 0.
-2, 0, 1, 4
Factor 1/5*v**4 + 4*v**3 + 54/5*v**2 + 17/5 + 52/5*v.
(v + 1)**3*(v + 17)/5
Solve 4*f**2 + 8*f - 7/2*f**3 + 0 + 1/2*f**4 = 0.
-1, 0, 4
Suppose 3*w = -4*l + 3, 2*l + 0*w = w - 1. Suppose 0*c + y + 4 = c, l = c - 4*y - 4. Factor -2*i + 5*i**2 - 4*i**2 + 5*i**3 - c*i**3.
i*(i - 1)*(i + 2)
Factor -3064*n + 3*n**4 + 5526*n**2 + 1864*n + 12696 - 16218*n - 1074*n + 267*n**3.
3*(n - 2)*(n - 1)*(n + 46)**2
Let h(l) = 31*l**3 + 99*l**2 + 171*l + 64. Let t(u) = 48*u**3 + 148*u**2 + 256*u + 96. Let v(w) = -8*h(w) + 5*t(w). Find s such that v(s) = 0.
-4, -2, -1/2
Let q be -5 + (((-108)/(-30))/9 - -5). Factor 6/5*i**2 + 4/5*i + q*i**3 + 0.
2*i*(i + 1)*(i + 2)/5
Factor 3*q - 37*q**2 - 9719 - 3*q**3 - 5*q**2 + 9761.
-3*(q - 1)*(q + 1)*(q + 14)
Let v(s) = -s**4 + 360*s**3 - 10432*s**2 - 21964*s - 11159. Let o(i) = -360*i**3 + 10431*i**2 + 21966*i + 11157. Let x(h) = -2*o(h) - 3*v(h). Factor x(c).
3*(c - 61)**2*(c + 1)**2
Let j(y) be the third derivative of 0*y**6 - 1/112*y**8 + 0 + 1/10*y**5 + 0*y - 1/35*y**7 + 7*y**2 + 0*y**3 + 1/8*y**4. Find u such that j(u) = 0.
-1, 0, 1
Let l = -28678 + 86035/3. Factor 0*a - 1/3 + l*a**2.
(a - 1)*(a + 1)/3
Let b(k) be the third derivative of -k**5/120 - 13*k**4/24 - 25*k**3/12 + 4*k**2 + 146. Let b(y) = 0. What is y?
-25, -1
Let g(d) = -d**2 + 14*d + 317. Let x be g(-12). Let i(c) be the third derivative of 0 + 8*c**2 - 3/40*c**6 + 0*c - 7/8*c**4 + c**3 + 2/5*c**x. Factor i(v).
-3*(v - 1)**2*(3*v - 2)
Let d(v) = -v**3 - 3*v**2