 + 7*b**3 + 0*b + 7*b**3 = 0.
-1, 0, 1/4
Let g(o) be the third derivative of o**7/1890 - o**6/180 + o**5/45 - 5*o**4/108 + o**3/18 + 544*o**2. Factor g(z).
(z - 3)*(z - 1)**3/9
Factor 88/7*h**2 - 2*h**3 - 136/7*h + 32/7.
-2*(h - 4)*(h - 2)*(7*h - 2)/7
Let g = -18 - -21. Factor -30 - q**3 + 7*q + 8*q**g - 20*q**2 - 62*q - 2*q**3.
5*(q - 6)*(q + 1)**2
Suppose -5*o = -11 - 9. Suppose -3*l = -o*l + 2. Find r such that 1 + 6*r - 4*r**3 + 3*r**2 - 4*r**l - 2*r = 0.
-1, -1/4, 1
Suppose 180 - 188 = -4*o. Let m(d) be the second derivative of 0*d**o - 1/36*d**4 - 1/18*d**3 - 5*d + 0. Factor m(q).
-q*(q + 1)/3
Let a be (-24)/32*(-3 + -1). Suppose 26 = 4*f - 5*l, -a*l - 15 = -4*f + 7. Let 0*i + 0*i**3 + 0*i**2 + 0 - 1/2*i**f = 0. Calculate i.
0
Factor -3/5*s**4 - 12/5 + 9/5*s**2 - 12/5*s + 6/5*s**3.
-3*(s - 2)**2*(s + 1)**2/5
Let q(f) be the first derivative of 1/45*f**5 + 6 - 1/9*f**2 - 7*f + 1/18*f**4 + 0*f**3. Let j(d) be the first derivative of q(d). Factor j(m).
2*(m + 1)**2*(2*m - 1)/9
Suppose -2*g + 4 = -3*g. Let q(z) = 4*z**3 - 10*z**2 + 12*z + 19. Let h(t) = -t**3 + 3*t**2 - 4*t - 6. Let k(d) = g*q(d) - 14*h(d). Let k(y) = 0. What is y?
-2, -1, 2
Let i = -48 - -51. Let c(a) be the first derivative of 8 + 3/11*a**2 + 0*a - 2/33*a**i. Solve c(l) = 0 for l.
0, 3
Determine b so that -80*b**5 + 2*b + 777*b**2 - 48*b**4 + 86*b**3 - 801*b**2 - 153*b**5 + 0*b + 73*b**5 = 0.
-1, 0, 1/5, 1/4
Let d(o) be the third derivative of -o**5/80 - 5*o**4/16 - 9*o**3/8 + 44*o**2. Factor d(k).
-3*(k + 1)*(k + 9)/4
Let y = 1108 + -1106. Factor 2/5*x**3 - 16/5 - 8/5*x + 4/5*x**y.
2*(x - 2)*(x + 2)**2/5
Let w(v) be the first derivative of 5*v**4/4 + 195*v**3 + 22815*v**2/2 + 296595*v - 25. Find z, given that w(z) = 0.
-39
Let m(z) be the first derivative of z**5/25 - z**4/10 - 8*z**3/15 + 613. Suppose m(d) = 0. Calculate d.
-2, 0, 4
Let g be (-12)/(-54) - 25/(-9). Let i(t) = 6*t - 13. Let s be i(g). Solve 3*m**4 - m**4 + 0*m**s + 2*m**5 = 0.
-1, 0
Let z be ((-9)/108)/(14/(-4) - 1). Let t(j) be the second derivative of -2/9*j**2 + z*j**4 - 6*j + 0 - 1/27*j**3. Factor t(a).
2*(a - 2)*(a + 1)/9
Let b(f) be the first derivative of -3 - 1/33*f**3 + 3*f**2 + 0*f - 1/330*f**5 + 1/66*f**4. Let t(c) be the second derivative of b(c). Factor t(a).
-2*(a - 1)**2/11
Let k(a) = -2*a**2 - 23*a + 18. Let i be k(-12). Let -18*z - 3*z**3 - i*z - 71 + 23 + 21*z**2 = 0. What is z?
-1, 4
Let t = -11098/7 + 44427/28. Factor -5/4*c**4 - t*c**3 + 0 + 0*c**2 + 0*c.
-5*c**3*(c + 1)/4
Let c(v) be the third derivative of v**7/1680 - 5*v**4/8 + 3*v**2. Let f(o) be the second derivative of c(o). Factor f(h).
3*h**2/2
Let a(v) be the second derivative of -19/3*v**3 - 26*v + 5/4*v**4 + 0 - 6*v**2 + 7/40*v**5. Suppose a(l) = 0. Calculate l.
-6, -2/7, 2
Let n(z) be the first derivative of -5/4*z**4 - z**2 + 7/3*z**3 + 0*z + 3. Factor n(u).
-u*(u - 1)*(5*u - 2)
Let b(v) = -3*v**3 + v**2 - 10*v. Let s be ((-4)/(-12)*2)/(2/15). Let i(r) = -2*r**3 + r**2 - 7*r. Let g(l) = s*b(l) - 7*i(l). Find d, given that g(d) = 0.
-1, 0
Let z be (-6)/4*12/(-9). Suppose -4*b = -b - 3, z*b = a. Factor 2 + 4*y**2 - 1 - 5 + a*y**3 - 2*y.
2*(y - 1)*(y + 1)*(y + 2)
Let r = 1154 - 1151. Let h(u) be the second derivative of 0 + u**2 + 1/12*u**4 + 3*u + 1/2*u**r. Find m, given that h(m) = 0.
-2, -1
Let s = -1749 - -17493/10. Let r(j) be the third derivative of -s*j**6 - 7*j**2 + 2/15*j**7 - 4/5*j**5 + 0*j**3 + 0*j + 2/3*j**4 + 0. Let r(t) = 0. Calculate t.
-1, 0, 2/7, 2
Let k = 9 + -10. Let o be -2*(0/2 + k). Factor -5*l**2 + 5*l**o - 2*l**2 + 0*l**2 - 2*l**4 - 4*l**3.
-2*l**2*(l + 1)**2
Suppose 0 = 97*o - 71*o - 130. Solve -6*i - 2 - 3/2*i**o - 1/2*i**4 + 5/2*i**2 + 15/2*i**3 = 0 for i.
-2, -1, -1/3, 1, 2
Let q(f) be the third derivative of 23/180*f**5 + 0 + 0*f + 1/252*f**8 - 13/72*f**4 - 11/360*f**6 - 1/126*f**7 - f**2 + 1/9*f**3. Factor q(x).
(x - 1)**3*(x + 2)*(4*x - 1)/3
Let h(n) be the second derivative of 4*n**7/21 - 6*n**6/5 + 6*n**5/5 + 20*n**4/3 - 16*n**3 - 67*n. Factor h(w).
4*w*(w - 2)**3*(2*w + 3)
Let g(k) be the second derivative of 1/6*k**4 - 1/10*k**5 + 0 + 20*k**2 - 30*k + 16/3*k**3. Factor g(p).
-2*(p - 5)*(p + 2)**2
Factor -8/3*g - 10/3 + 22/3*g**2 - 4/3*g**3.
-2*(g - 5)*(g - 1)*(2*g + 1)/3
Let h be -1*((-940)/300 - (-2)/15). Factor -4*v**2 + 2 + 2*v - 4*v + h*v**2 + 3*v.
-(v - 2)*(v + 1)
Let z(v) be the third derivative of v**6/90 + 2*v**5/15 + 11*v**4/18 + 4*v**3/3 + 13*v**2 - 12*v. Factor z(y).
4*(y + 1)*(y + 2)*(y + 3)/3
Let g(i) = 3*i - 95. Let q be g(19). Let b = q + 41. Factor 1/4*w**b - 1/4*w - 1/2*w**2 + 1/2.
(w - 2)*(w - 1)*(w + 1)/4
Let m(w) be the first derivative of -w**3/9 - w**2/3 - w/3 - 521. What is s in m(s) = 0?
-1
Let k(c) = -c**3 + 199*c**2 - 201*c + 594. Let x be k(198). Factor 0*g - 1/6*g**5 + x + 1/6*g**4 + 1/2*g**2 + 5/6*g**3.
-g**2*(g - 3)*(g + 1)**2/6
Factor -1/7*t**2 - 252 - 12*t.
-(t + 42)**2/7
Factor -29/8 + 7/2*j + 1/8*j**2.
(j - 1)*(j + 29)/8
Let v(p) be the second derivative of -p**7/98 + 51*p**5/140 - 9*p**4/7 + 10*p**3/7 + 2*p + 20. Suppose v(i) = 0. What is i?
-5, 0, 1, 2
Suppose -5*b - 24 + 439 = -5*t, 158 = -2*t - 2*b. Let a be (-9)/(-4) - t/108. Suppose 13/2*h**a - h**2 + 0 + 0*h - 10*h**4 = 0. Calculate h.
0, 1/4, 2/5
Suppose 5*q - 7*q = -564. Let t be q/54 - (-2)/(-9). Determine h, given that 0*h**2 + 5*h**2 - t*h**3 - 5*h + 2*h + 13*h = 0.
-1, 0, 2
Factor -1/4*j**2 - 11025 - 105*j.
-(j + 210)**2/4
Let l(i) be the first derivative of 3*i**5/5 - 9*i**4/4 - 4*i**3 + 18*i**2 - 680. Determine f, given that l(f) = 0.
-2, 0, 2, 3
Let g(w) = -w**3 - 12*w**2 - 8*w + 36. Let l be g(-11). Let h(j) = 4*j**2 - 12*j + 4. Let n be h(l). Factor 0 + 1/5*k**5 + 0*k**n + 0*k**2 - 1/5*k**3 + 0*k.
k**3*(k - 1)*(k + 1)/5
Suppose -19 = -8*f + 13. Let t(c) = c**4 - 9*c**2 + 4*c - 4. Let y(i) = -i**4 - i**2 + i - 1. Let p(r) = f*y(r) - t(r). What is n in p(n) = 0?
-1, 0, 1
Let c(y) = 9*y**2 - 7*y**2 - y**2 + 6*y + 2. Let k be c(-6). What is b in 22*b**4 - 1 + 3*b**k + 20*b**3 + 15/2*b**5 - 7/2*b = 0?
-1, -1/3, 2/5
Suppose -g - 5 = -0*t - t, 4*t - 2*g = 10. Suppose 0 = 5*m, -d = -t*d + 5*m. Factor 0*u**3 + 2/11*u**2 + d*u - 2/11*u**4 + 0.
-2*u**2*(u - 1)*(u + 1)/11
Suppose 48*m - 128 = 16*m. Let d(g) be the first derivative of -3/16*g**m - g**3 - 15/8*g**2 - 3/2*g + 2. Find b, given that d(b) = 0.
-2, -1
Determine a so that 8/11*a**2 + 16/11*a - 1/11*a**5 + 0 - 8/11*a**4 - 15/11*a**3 = 0.
-4, -1, 0, 1
Let j = 71 - 69. Determine d, given that d**2 - 2*d**3 + 2*d**2 + 5*d**j + 0*d**2 = 0.
0, 4
Determine x, given that 6*x**3 - 3*x**4 + 44*x - 20*x + 6*x + 39*x**2 = 0.
-2, -1, 0, 5
Let c(r) be the third derivative of 0*r**4 - 1/2*r**3 + 1/20*r**5 + 0*r + 0 - 2*r**2. Factor c(v).
3*(v - 1)*(v + 1)
Let n(r) = 2*r**2 - 12*r - 31. Let h be n(8). Factor 3/4*j**2 + 1/4*j**3 - h + 0*j.
(j - 1)*(j + 2)**2/4
Let d = -1/3239 + 12959/9717. What is z in -5/3*z + 2/3 - 1/3*z**3 + d*z**2 = 0?
1, 2
Let n(q) be the second derivative of 5*q**4/12 - 15*q**3/2 - 55*q**2 - 112*q. Factor n(b).
5*(b - 11)*(b + 2)
Let x(u) be the third derivative of u**6/240 - u**5/8 + 25*u**4/16 - 4*u**3/3 - 8*u**2. Let z(n) be the first derivative of x(n). Factor z(s).
3*(s - 5)**2/2
Let l = 1123/12 + -1115/12. Factor 1/6*y**4 - 1/3*y + 5/6*y**2 - l*y**3 + 0.
y*(y - 2)*(y - 1)**2/6
Let x(k) be the first derivative of -k**7/42 - k**6/12 - k**5/12 - 5*k**2/2 - 16. Let z(l) be the second derivative of x(l). Determine y so that z(y) = 0.
-1, 0
Let z(r) = 3*r**4 + 7*r**3 + 3*r**2 - 5*r - 4. Let l(f) = -4*f**4 - 7*f**3 - 2*f**2 + 4*f + 3. Let d(i) = 2*l(i) + 3*z(i). Factor d(w).
(w - 1)*(w + 1)**2*(w + 6)
Let f(y) be the second derivative of -1/75*y**6 + 0 - 3/25*y**5 - 2/3*y**3 - 3/5*y**2 - 2/5*y**4 - 13*y. Factor f(o).
-2*(o + 1)**3*(o + 3)/5
Suppose -6*b - 39 + 3 = 0. Let k(u) = -9*u**3 - 21*u**2 - 9*u. Let l(w) = 4*w**3 + 10*w**2 + 4*w. Let o(v) = b*k(v) - 13*l(v). Find z, given that o(z) = 0.
0, 1
Factor 10*q**2 + 13*q**2 + 4*q**4 - q**3 + 3*q**5 - 39*q**2 + 14*q**2.
q**2*(q + 1)**2*(3*q - 2)
Suppose -h + 4*f + 0 + 2 = 0, 3*h + 5*f = 6. Factor -52*i**3 - 2*i**4 + h*i**5 + 50*i**3 + 2*i**2 + 0*i**2.
2*i**2*(i - 1)**2*(i + 1)
Let m(o) be the third derivative of -o**6/120 - o**5/4 + 2*o**4/3 - 19*o**2. Factor m(b).
-b*(b - 1)*(b + 16)
