o.
-(l + 1)**2*(2*l - 1)
Let g(b) be the third derivative of -b**5/150 - 11*b**4/30 - 121*b**3/15 + 2*b**2 - 6. Factor g(t).
-2*(t + 11)**2/5
Factor 5*g**2 + 3*g**2 + 3*g**2 - 9*g**2 + 6*g.
2*g*(g + 3)
Let s(d) be the first derivative of 1/8*d**4 - d + 1 + 5/4*d**2 - 2/3*d**3. Solve s(j) = 0.
1, 2
Let w(d) be the first derivative of 0*d - d**2 + 2/3*d**3 + 1. Let w(m) = 0. Calculate m.
0, 1
Let b(q) be the second derivative of q**6/540 - q**5/270 - q**4/108 + q**3/27 - 5*q**2/2 - 8*q. Let f(v) be the first derivative of b(v). Factor f(n).
2*(n - 1)**2*(n + 1)/9
Let p(q) = -q**3 - q**2 + q + 1. Let f(y) = 16*y**4 + 44*y**3 + 12*y**2 - 44*y - 28. Let l(i) = -f(i) - 24*p(i). Solve l(o) = 0 for o.
-1, -1/4, 1
Let p(l) be the second derivative of 4*l**6/15 - 3*l**5/10 - l**4/6 - 6*l. Factor p(d).
2*d**2*(d - 1)*(4*d + 1)
Suppose -2*p + 5*z = 10 - 1, 5*z - 21 = -2*p. Let -4/5 + 14/5*k**4 - 2*k**2 - 18/5*k + 18/5*k**p = 0. Calculate k.
-1, -2/7, 1
Let c be 8/20*-5*1. Let g be 16/12*(-3)/c. Factor -4*t**2 + 5*t**2 - t + 0*t**g.
t*(t - 1)
Let u(b) be the first derivative of -b**6/8 - 3*b**5/5 - 9*b**4/8 - b**3 - 3*b**2/8 - 4. Factor u(w).
-3*w*(w + 1)**4/4
Let o(m) be the second derivative of m**6/1080 - m**5/360 - m**3/3 + m. Let w(u) be the second derivative of o(u). What is z in w(z) = 0?
0, 1
Let y(h) be the third derivative of -h**5/150 - h**4/12 - 4*h**3/15 - h**2. Let y(x) = 0. Calculate x.
-4, -1
Let g(r) = -3*r**2 - 6*r + 3. Let a(h) = h**3 + 4*h**2 + 7*h - 4. Suppose -2*u = x - 11, 2*u - 19 = -2*u - x. Let s(q) = u*g(q) + 3*a(q). Factor s(b).
3*b*(b - 1)*(b + 1)
Let k(g) be the third derivative of -g**8/42 - g**7/5 + 43*g**6/120 + 3*g**5/5 - 35*g**4/24 + g**3 - 48*g**2. Suppose k(j) = 0. Calculate j.
-6, -1, 1/4, 1/2, 1
Let d(f) = f**3 + 4*f**2 + 2*f - 3. Let t be d(-3). Let m**3 + 3*m**3 + t*m**3 + 3*m**2 + 5*m - m**4 + 2 - 5*m**3 = 0. What is m?
-1, 2
Let m be (18/(-4))/((-1)/(-2)). Let b be m/6*(-8)/42. What is d in 0 - 2/7*d**2 + 0*d**3 + b*d**4 + 0*d = 0?
-1, 0, 1
Let r(j) be the third derivative of 1/60*j**5 + 0*j**6 + 0*j**4 - 1/12*j**3 - 1/420*j**7 + 0 - 4*j**2 + 0*j. Let r(g) = 0. What is g?
-1, 1
Let d(i) = -i + 1. Let z be d(-3). Suppose -z*n + n = 0. Factor 4/7*k**4 + n + 2/7*k**2 + 6/7*k**3 + 0*k.
2*k**2*(k + 1)*(2*k + 1)/7
Suppose 4*t = -3*b + 15, 0*t = 4*t - b + 5. Let y(k) be the second derivative of 1/2*k**3 + t + 0*k**2 + 4*k + 1/4*k**4. Suppose y(r) = 0. Calculate r.
-1, 0
Let i = 1069/135 + -14/27. Let a = -143/20 + i. Factor 0*o - a + 1/4*o**2.
(o - 1)*(o + 1)/4
Let p = 27 + -42. Let b = p - -19. Determine j so that -9/5*j - 24/5*j**2 + 0 - 22/5*j**3 - 1/5*j**5 - 8/5*j**b = 0.
-3, -1, 0
Let p(r) be the first derivative of -5*r**3/3 - 15*r**2/2 - 10*r + 2. Factor p(s).
-5*(s + 1)*(s + 2)
Let j(m) be the first derivative of 27*m**4/16 - 11*m**3/4 + 3*m**2/4 + 47. Suppose j(n) = 0. What is n?
0, 2/9, 1
Let b be (-9)/36 - (-9)/4. Let r(k) be the first derivative of 0*k**b + 1 + 1/4*k**4 + 0*k + 1/3*k**3. Find j such that r(j) = 0.
-1, 0
Let l(i) be the first derivative of 1/30*i**5 + 3 - 1/24*i**4 + 0*i + 0*i**2 - 1/9*i**3. Factor l(w).
w**2*(w - 2)*(w + 1)/6
Suppose 0 = a - 2*w + 46, 5*a + 255 = 3*w + 2*w. Let k be (-12)/a + 4/14. Factor 1/4 + 1/4*j**2 - k*j.
(j - 1)**2/4
Let f = -65 - -68. Let b(r) be the first derivative of 2 + 0*r + 1/3*r**6 - r**2 + 0*r**4 - 4/3*r**f + 4/5*r**5. Find k such that b(k) = 0.
-1, 0, 1
Factor 1/5*w**2 - 1/5 + 1/5*w**3 - 1/5*w.
(w - 1)*(w + 1)**2/5
Let f = -170399/120 + 1420. Let t(o) be the third derivative of 0 - 1/240*o**6 - 2*o**2 - 1/420*o**7 + f*o**5 + 0*o**3 + 0*o + 1/48*o**4. Factor t(i).
-i*(i - 1)*(i + 1)**2/2
Let s = 2/33 - -29/66. Let v(i) be the first derivative of 3*i**2 + 1 + 0*i**3 - s*i**4 - 4*i. Factor v(z).
-2*(z - 1)**2*(z + 2)
Let t = -11 - -15. Suppose -2*l + i - 3 = -t*l, 0 = l + 2*i. Determine y so that 51/4*y**3 + 15/4*y**5 + 0 + 0*y**l - 3*y + 27/2*y**4 = 0.
-2, -1, 0, 2/5
Let d be 4*2/44 + 62/22. Suppose 0 + 2/13*g**4 + 2/13*g**d - 2/13*g - 2/13*g**2 = 0. What is g?
-1, 0, 1
Suppose -2*b + 19 = j, 2*b - 37 = -3*j - 8. Determine s so that -2*s**2 - b - 3*s**3 + 6*s + 7 - s**2 = 0.
-2, 0, 1
Let a(b) be the first derivative of b**9/7560 + b**8/4200 - b**7/1050 - 2*b**3/3 - 2. Let g(r) be the third derivative of a(r). Find i, given that g(i) = 0.
-2, 0, 1
Let z(l) = -7*l**3 - 2*l**2 + 7*l + 2. Let v(y) = -7*y**3 - 2*y**2 + 7*y + 2. Let h(g) = 4*v(g) - 3*z(g). Let h(o) = 0. What is o?
-1, -2/7, 1
Let f(z) be the first derivative of 0*z - 1/2*z**4 + 0*z**3 + z**2 + 2. Factor f(t).
-2*t*(t - 1)*(t + 1)
Suppose -2*f + 8 = -0*f. Let u be (-1*(-3 - -1))/f. Let -1/2*q**2 + 0*q**3 + u*q**4 + 0 + 0*q = 0. What is q?
-1, 0, 1
Let c(v) be the third derivative of 0*v - 17/70*v**7 + 0 + 37/40*v**6 - 39/20*v**5 - v**2 + 3/112*v**8 + 5/2*v**4 - 2*v**3. Determine s so that c(s) = 0.
2/3, 1, 2
Let q(v) be the second derivative of -2/15*v**3 - 1/25*v**5 + 2/15*v**4 + 0*v**2 - 6*v + 0. Let q(a) = 0. What is a?
0, 1
Let w = 56 + -56. Solve 0 - 4/3*d**3 + w*d - d**4 - 1/3*d**2 = 0 for d.
-1, -1/3, 0
Let b(i) = -3*i. Let r be b(-4). Let o = r - 10. Factor 0*y**o - 1/4*y**3 - 1/2 + 3/4*y.
-(y - 1)**2*(y + 2)/4
Let x(u) = 3*u**3 - 19*u**2 - 21*u + 27. Let g(d) = 2*d**3 - 18*d**2 - 20*d + 28. Let p(h) = 5*g(h) - 4*x(h). Determine a, given that p(a) = 0.
-4, 1
Find d, given that 0*d + 3/5*d**4 + 3/5*d**2 - 6/5*d**3 + 0 = 0.
0, 1
Let k = 1307 + -1305. Let 3/5*c**4 + 0 + 9/5*c**3 + 9/5*c**k + 3/5*c = 0. Calculate c.
-1, 0
Let z(r) = r**4 + 2*r**3 + 3*r**2 + 0*r**4 - 4*r - 2*r**4. Let j(c) = c**4 - 2*c**3 - 2*c**2 + 3*c. Let w = -14 + 10. Let f(k) = w*j(k) - 3*z(k). Factor f(m).
-m**2*(m - 1)**2
Let f = 6 - 6. Let l(q) be the third derivative of 0*q + 0*q**4 + 1/30*q**5 + 0 - 3*q**2 - 1/60*q**6 + f*q**3. Factor l(d).
-2*d**2*(d - 1)
Let q be (-56)/(-70)*(2 + 3). Find d such that -2/3*d - 4/3*d**q - 1/2*d**2 + 7/3*d**3 + 1/6 = 0.
-1/2, 1/4, 1
Let -10/9*g - 2/9*g**2 + 2/9*g**3 - 2/3 = 0. What is g?
-1, 3
Let y be 95/20 + -8 + (-4)/(-1). What is q in y*q**2 + 3/4*q + 0 = 0?
-1, 0
Suppose 0 = 2*p - 4*p. Let t(v) be the first derivative of 1 + p*v**2 - 1/24*v**6 - 1/20*v**5 + 0*v + 1/12*v**3 + 1/16*v**4. Suppose t(z) = 0. What is z?
-1, 0, 1
Let i be 0*((-1)/(-3) + 0). Solve i - 2/7*d - 3/7*d**2 - 1/7*d**3 = 0 for d.
-2, -1, 0
Factor -4*z**3 - 29*z + 29*z + z**3 - 9*z**2.
-3*z**2*(z + 3)
Let t(i) be the second derivative of -3/2*i**3 - 1/4*i**4 + 0 - 3*i**2 + 4*i. Let t(n) = 0. What is n?
-2, -1
Let q(b) be the first derivative of 2*b**3/33 - 2*b**2/11 + 65. Factor q(z).
2*z*(z - 2)/11
Suppose 5*m - 3 = 7. Factor -4*f**3 + 2*f**4 + 4*f + 5*f**2 - 4*f**m - 3*f**2.
2*f*(f - 2)*(f - 1)*(f + 1)
Factor 24*q + 0*q**2 - 24 - 6*q**3 + 3/2*q**4.
3*(q - 2)**3*(q + 2)/2
Factor 2/13*f**4 - 4/13*f**2 + 0*f + 2/13*f**3 + 0.
2*f**2*(f - 1)*(f + 2)/13
Let t(q) be the first derivative of -5*q**3/3 + 34. Let t(k) = 0. Calculate k.
0
Let o(s) be the third derivative of -1/54*s**4 + 1/270*s**5 + 0 - 3*s**2 + 1/27*s**3 + 0*s. Let o(f) = 0. Calculate f.
1
Let y(o) be the third derivative of -o**7/350 + o**6/50 - o**5/25 - 12*o**2. Factor y(u).
-3*u**2*(u - 2)**2/5
Let a(s) be the first derivative of 2*s**6/3 + 4*s**5/5 - 2*s**4 + 6. Factor a(w).
4*w**3*(w - 1)*(w + 2)
Let t(h) be the first derivative of -2*h**5/5 + 6*h**4 - 36*h**3 + 108*h**2 - 162*h + 3. Factor t(o).
-2*(o - 3)**4
Determine o so that 3/5*o**3 + 9/5*o - 3/5*o**4 + 0 + 3*o**2 = 0.
-1, 0, 3
Let y(t) be the second derivative of -t**7/378 - t**6/270 + t**5/180 + t**4/108 - t. Factor y(u).
-u**2*(u - 1)*(u + 1)**2/9
Let f be 3/3 - (-4 - -1). Let u(o) be the third derivative of -1/32*o**f + 0 - 1/480*o**6 + 0*o + 2*o**2 + 1/24*o**3 + 1/80*o**5. Determine z so that u(z) = 0.
1
Factor 9/5*v**2 - 4/5*v**4 - 3/5*v**3 + 0 - 2/5*v.
-v*(v - 1)*(v + 2)*(4*v - 1)/5
Let r be (1 + -3)/(-18)*(-6)/(-11). Let u(j) be the first derivative of -2/55*j**5 + 0*j - 1/11*j**2 + r*j**3 + 1/22*j**4 + 2. What is b in u(b) = 0?
-1, 0, 1
Let a(z) be the first derivative of -z**6/4 + 3*z**5/5 - 3*z**4/8 - 4. Factor a(f).
-3*f**3*(f - 1)**2/2
Let x(y) = 4*y**3 - 4*y**2 - 6*y + 6. Let c(u) = 3*u**3 - 3*u**2 - 5*u + 5. Let h be 6/21 - 80/(-14). Let m(l) = h*c(l) - 5*x(l). Factor m(r).
-2*r