et u(d) = 15*r(d) - 4*w(d). Factor u(f).
3*f*(f - 2)*(f + 1)*(f + 2)**2
What is t in 2/7*t**2 + 17/7*t**3 + 0*t + 0 = 0?
-2/17, 0
Let q(r) be the third derivative of -r**7/1785 - 7*r**6/1020 - 8*r**5/255 - r**4/17 + 14*r**2 + 16. Factor q(v).
-2*v*(v + 2)**2*(v + 3)/17
Let f = 473/628 - 1/314. Let g = -22 + 22. Factor g + 0*n + 0*n**3 - f*n**4 + 3/4*n**2.
-3*n**2*(n - 1)*(n + 1)/4
Let o(l) be the second derivative of -l**6/50 + 9*l**5/20 + 29*l**4/10 - 36*l**3/5 + l - 383. Solve o(y) = 0.
-4, 0, 1, 18
Let j(m) be the third derivative of -3*m**7/70 + 49*m**6/20 - 208*m**5/5 + 64*m**4 + 40*m**2. Factor j(u).
-3*u*(u - 16)**2*(3*u - 2)
Let c be 75/20*8/6. Factor 31*b**3 - 3*b - 16*b**2 - c*b + b**4 + 4*b - 12*b**4.
-b*(b - 2)*(b - 1)*(11*b + 2)
Let r(x) be the third derivative of -1/60*x**5 + 0*x - 25/6*x**3 + 7*x**2 + 5/12*x**4 + 0. Factor r(n).
-(n - 5)**2
Let v(s) be the second derivative of 0 + 1/4*s**5 - 28*s + 0*s**2 - 5/2*s**3 + 5/6*s**4. Solve v(n) = 0 for n.
-3, 0, 1
Suppose -2*x = 4*z + 256 + 90, 3*x = -15. Let p be ((8/z)/(6/(-14)))/2. Find i, given that -2/9*i - 1/9*i**4 - 5/3*i**5 + 17/9*i**3 + 0 + p*i**2 = 0.
-1, -2/5, 0, 1/3, 1
Let g(t) be the first derivative of 2*t**3/3 - 100*t**2 + 5000*t + 77. Solve g(h) = 0 for h.
50
Let b = -19 - -24. Let y be -3 - (196/(-20) + b). Determine u so that 0 - 3/5*u + y*u**2 = 0.
0, 1/3
Suppose -268*m**3 - 210*m**2 + 131*m**3 + 132*m**3 = 0. What is m?
-42, 0
Let n be ((-4)/18)/(72/(-81)). Determine m, given that -n*m**2 - 5/4*m - 1 = 0.
-4, -1
What is v in -46*v**4 + 96*v**4 + 0 + 0 + 2*v**2 - 52*v**4 = 0?
-1, 0, 1
Let y(t) be the third derivative of 15*t**2 + 0*t**4 - 1/15*t**5 + 0*t**3 + 1/30*t**6 + 0*t + 0. Suppose y(s) = 0. What is s?
0, 1
Factor 32*m + 2168*m**4 + 24*m**2 - 2167*m**4 + 16 + 8*m**3 + 0*m**2.
(m + 2)**4
Let v(k) be the first derivative of -k**2/2 - k - 5. Let u be v(-3). Factor -25*y**3 - 4*y**4 + 19*y**3 + 0*y + u*y.
-2*y*(y + 1)**2*(2*y - 1)
Let l(m) be the second derivative of -m**6/6 - 5*m**5/2 + 55*m**4/12 - 85*m. Factor l(k).
-5*k**2*(k - 1)*(k + 11)
Let b(u) = 2*u**2 + 11*u - 14. Let w be b(-7). Factor -8*j**3 - 24*j - w + 4 - 6 - 22*j**2 - j**4.
-(j + 1)**2*(j + 3)**2
Let r(g) = g**4 + 64*g**3 - 361*g**2 - 2*g + 2. Let v(d) = 3*d**4 + 63*d**3 - 360*d**2 - 3*d + 3. Let c(x) = 3*r(x) - 2*v(x). Factor c(f).
-3*f**2*(f - 11)**2
What is d in 263*d**3 - 9*d**4 + 96 - 1635*d - 131 - 1354*d**2 + 485 - 459*d**2 = 0?
-1, 2/9, 15
Let p(u) be the second derivative of 5/4*u**4 + 5/2*u**3 + 5/2*u**2 + 0 + 1/4*u**5 - 9*u. Factor p(l).
5*(l + 1)**3
Suppose 2*i + 4*b - 2 = 0, -5*b + 2*b + 9 = -i. Let g = 6 + i. Factor 3 - 4*m**3 + 3*m - 3 + 3*m**2 + m**g - 3.
-3*(m - 1)**2*(m + 1)
Let -8/9*r - 8/9*r**2 + 0 - 2/9*r**3 = 0. What is r?
-2, 0
Let x be (18/(-27))/(374/(-330) - (-1)/(-5)). Determine o, given that x*o**2 - 7/2 + 3*o = 0.
-7, 1
Let c(d) be the second derivative of 1/4*d**4 - 3*d**2 + 0 - 14*d - 1/2*d**3. Factor c(t).
3*(t - 2)*(t + 1)
Suppose -43 + 8 = -7*d. Let s(l) be the first derivative of 0*l + 1/2*l**4 - 2/5*l**5 - 1/3*l**6 + 2/3*l**3 + 0*l**2 + d. Suppose s(i) = 0. What is i?
-1, 0, 1
Let s(t) be the second derivative of -t**7/210 - t**6/80 + t**5/40 - t**4/6 + 14*t. Let m(i) be the third derivative of s(i). Solve m(d) = 0.
-1, 1/4
Let 259*o**2 - 129*o**2 - 125*o**2 - 85*o = 0. Calculate o.
0, 17
Let n(s) = -2*s**2 + 8*s - 16. Let t(p) = 1 - 5 - 2 + 5. Let a(v) = n(v) - 10*t(v). Factor a(q).
-2*(q - 3)*(q - 1)
Solve 12*z**5 + 100*z - 52*z**4 - 8*z**2 - 104*z**3 + 52 + 8*z**4 - 27*z**5 + 19*z**5 = 0 for z.
-1, 1, 13
Let z(q) = 69*q**3 - q. Let f be z(-1). Let v be ((-51)/f)/(1/4). Solve -2/5 + 2/5*j - 2/5*j**v + 2/5*j**2 = 0.
-1, 1
Factor 3872*y**2 + 0 + 1/2*y**4 + 88*y**3 + 0*y.
y**2*(y + 88)**2/2
Let i be 18/90 - 62/360. Let c(x) be the third derivative of 1/12*x**6 + 7/90*x**5 - 3*x**2 + 0*x + 0 + 0*x**3 + i*x**4 + 1/35*x**7. Factor c(z).
2*z*(z + 1)*(3*z + 1)**2/3
Let w = -41/234 - -79/117. Solve 0 + i + 1/2*i**2 - 3/2*i**3 + w*i**5 - 1/2*i**4 = 0.
-1, 0, 1, 2
Suppose -58*r + 64 = -42*r. Factor 1/3*b + 0*b**2 - 1/6 + 1/6*b**r - 1/3*b**3.
(b - 1)**3*(b + 1)/6
Let n(c) = -4*c**4 + c**3 - 13*c**2. Let v(j) = -2*j**4 - 6*j**2. Suppose 0 = m + 3*l - 4 - 1, -l + 7 = -m. Let g(t) = m*n(t) + 9*v(t). Factor g(a).
-2*a**2*(a + 1)**2
Let s(u) = u**3 + u**2. Suppose 0 = 2*w + 2*w + 12, 5*m = 2*w + 1. Let c(g) = -10*g**3 - 10*g**2 + 10*g. Let j(q) = m*c(q) - 5*s(q). Let j(l) = 0. What is l?
-2, 0, 1
Let h be 4 + -3 - 1/(-2)*2. Factor -50 - 3*f**2 - 2*f**h + 40 - 15*f.
-5*(f + 1)*(f + 2)
Factor 24/13*v - 2/13*v**2 - 54/13.
-2*(v - 9)*(v - 3)/13
Let w be (-750)/(-9)*12/(-10). Let m be (75/w)/(3/16*-2). Find h, given that 4/5*h**m - 2/5*h**3 - 4/5 + 2/5*h = 0.
-1, 1, 2
Let z(x) be the third derivative of -x**5/300 + x**4/20 - 4*x**3/15 + 2*x**2 - 14*x. Determine j so that z(j) = 0.
2, 4
Find g, given that -3/7*g**4 + 0 - 9*g**2 + 0*g + 30/7*g**3 = 0.
0, 3, 7
Let a(h) be the third derivative of h**7/1365 + 17*h**6/780 + h**5/5 + 35*h**4/39 + 88*h**3/39 - 5*h**2 + 3. Let a(p) = 0. Calculate p.
-11, -2
Let q(d) be the second derivative of 0 + 1/75*d**5 - 1/20*d**4 - d + 0*d**2 + 7/6*d**3 - 1/900*d**6. Let t(v) be the second derivative of q(v). Solve t(j) = 0.
1, 3
Let v be 3 - (-2)/(3 - 2). Suppose m = -f + 4, -2*m - 2*m + 4 = 0. Factor 4*u**f + v*u**2 + 4*u + 0*u**3 + 3*u**2.
4*u*(u + 1)**2
Suppose 8*j - 65 = -41. Let p(q) be the second derivative of 0 + 2/21*q**j + 5*q + 0*q**2 + 1/6*q**4. Suppose p(w) = 0. What is w?
-2/7, 0
Factor -408*l - 4624/3 - 27*l**2.
-(9*l + 68)**2/3
Let x be 4 + -6 + (900/(-81) + 10)*-2. Let -4/3*l - 16/9 - x*l**2 = 0. Calculate l.
-4, -2
Let u(v) be the second derivative of -v**4/36 + 7*v**3/6 - 10*v**2/3 + v - 5. Factor u(w).
-(w - 20)*(w - 1)/3
Determine f, given that 25*f**2 - 27*f**2 + 20*f + 17*f**4 + 2*f**5 - 16*f**4 - 8 - 13*f**3 = 0.
-2, 1/2, 1, 2
Let u(p) be the first derivative of 0*p + 1/6*p**3 - 1/8*p**2 - 1/16*p**4 + 29. Factor u(k).
-k*(k - 1)**2/4
Let c be (-98)/(-4) + 3*(-4)/(-24). Let o = c - 21. Factor 0*q + 0 + 2/3*q**o + 4/3*q**3 - 2*q**2.
2*q**2*(q - 1)*(q + 3)/3
Let m(v) be the second derivative of v**5/16 - 33*v**4/8 - 95*v**3/8 - 41*v**2/4 - 154*v + 1. Suppose m(q) = 0. Calculate q.
-1, -2/5, 41
Let g(l) be the first derivative of l**4/4 + 20*l**3/3 + 89*l**2/2 + 70*l + 103. Factor g(x).
(x + 1)*(x + 5)*(x + 14)
Let g be ((-3)/(-9))/((-2)/(-108)). Factor 12 - g*n**3 + 0*n**2 + 3*n**4 + 12*n**3 + 12*n - 9*n**2.
3*(n - 2)**2*(n + 1)**2
Let f(r) be the third derivative of -r**6/120 - 10*r**5/3 - 9797*r**4/24 + 10201*r**3/3 + 19*r**2 + 5. Factor f(q).
-(q - 2)*(q + 101)**2
Let g(s) be the second derivative of s**5/80 - 3*s**4/8 + 9*s**3/2 - 27*s**2 - 52*s. Factor g(h).
(h - 6)**3/4
Let q(f) be the second derivative of 1/9*f**4 - 1/63*f**7 + 0*f**3 + 0 + 0*f**6 + f + 0*f**2 + 1/10*f**5. Factor q(z).
-2*z**2*(z - 2)*(z + 1)**2/3
Let y(p) = -8*p**2 - 2*p + 16*p**3 - 18 - 17*p**3 + 4. Let b be y(-8). Factor 0 - 1/2*g - 1/2*g**b.
-g*(g + 1)/2
Let d(f) be the first derivative of f**3 - 3*f**2/2 - 18*f + 233. Solve d(c) = 0 for c.
-2, 3
Let t = -47750/171 - -2516/9. Solve t + 2/19*i**3 + 10/19*i**2 + 14/19*i = 0.
-3, -1
Suppose 6 + 15 = 3*c. Suppose 5*o - c = -2*f, -3 - 19 = -2*o + 4*f. Factor d**4 + 9*d - d**4 - 12*d**o - 6*d**2 + 4 + 2 + 3*d**5.
3*(d - 2)*(d - 1)*(d + 1)**3
Let d be 12/(-20)*60/(-54). Factor d*b**4 + 0 + 16/3*b**2 + 10/3*b**3 + 8/3*b.
2*b*(b + 1)*(b + 2)**2/3
Let c(v) be the second derivative of 0*v**4 - 1/420*v**6 + 0*v**2 + 0 - 1/210*v**5 - v - 2/3*v**3. Let q(m) be the second derivative of c(m). Factor q(j).
-2*j*(3*j + 2)/7
Let b(s) be the third derivative of -s**7/42 + 15*s**6/4 + s**5/12 - 75*s**4/4 + 58*s**2 - 2. Determine w, given that b(w) = 0.
-1, 0, 1, 90
Let k(h) be the second derivative of h**6/120 + h**5/40 - h**4/48 - h**3/12 - 166*h. Factor k(a).
a*(a - 1)*(a + 1)*(a + 2)/4
Let a(u) be the third derivative of 0 + 33*u**2 + 1/40*u**5 - 1/420*u**7 + 1/240*u**6 - 5/48*u**4 + 1/6*u**3 + 0*u. Factor a(j).
-(j - 1)**3*(j + 2)/2
Let s(q) be the first derivative of 2*q**3/3 - 9*q**2 + 16*q - 202. Let s(o) = 0. What is o?
1, 8
Let x be (4/7)/(-3*4/(-42)). Let 72*r**x - 14*r**5 + 8*r + 5*r + 13*r**4 + 3*r + 52*r**