.
-1, 0, 1
Let q(x) be the first derivative of 5*x**3/3 + 423. Factor q(f).
5*f**2
Let v be (-120)/(-16) + -20 + 13. Factor -f - v - 1/2*f**2.
-(f + 1)**2/2
Let k(u) be the first derivative of -5/3*u**3 - 1/24*u**4 + 0*u + 1/360*u**6 + 4 + 0*u**5 + 0*u**2. Let b(z) be the third derivative of k(z). Factor b(t).
(t - 1)*(t + 1)
Let f(o) be the second derivative of o**7/840 - o**6/160 + o**5/80 - o**4/96 + 14*o**2 + 17*o. Let k(b) be the first derivative of f(b). Factor k(i).
i*(i - 1)**3/4
Suppose 0 = j - 33 + 33. Let z(i) be the third derivative of j*i + 1/30*i**5 - 2/3*i**3 + 5*i**2 + 0 + 1/12*i**4. Find w such that z(w) = 0.
-2, 1
Let n(m) be the second derivative of 2*m**7/21 - m**5/5 - 514*m. What is w in n(w) = 0?
-1, 0, 1
Let j(i) be the second derivative of -5*i**7/28 - 5*i**6/3 + 3*i**5/2 + 190*i**4/3 + 240*i**3 + 320*i**2 - 186*i. Suppose j(w) = 0. Calculate w.
-4, -2, -2/3, 4
Find x such that -2/3*x**2 + 0 + 2/3*x + 1/6*x**3 = 0.
0, 2
Let g be (39/(-104))/(8/(-64)). Factor 1/2*a**g + 0 + 3/2*a - 5/2*a**2 + 1/2*a**4.
a*(a - 1)**2*(a + 3)/2
Let i = 1519 - 6073/4. Suppose 1/4 - w + i*w**2 = 0. Calculate w.
1/3, 1
Let j be (296/(-182))/(48/(-168)). Find m, given that -4/13 - 74/13*m**4 - j*m**3 + 6*m**2 + 72/13*m**5 + 2/13*m = 0.
-1, -2/9, 1/4, 1
Let z(g) be the second derivative of 0*g**2 + 1/5*g**5 + 16*g - 4/3*g**4 + 0 + 2*g**3. Factor z(n).
4*n*(n - 3)*(n - 1)
Suppose 3*v - 6 = 6. Let n(s) be the first derivative of 217*s**4 + 183*s**v + 75*s + 480*s**3 + 100*s**5 + 256*s**2 - 11*s - 1. Let n(t) = 0. Calculate t.
-2, -2/5
Let b(f) be the third derivative of 5*f**8/1344 - f**7/280 - 7*f**6/480 + f**5/80 + f**4/48 - 118*f**2. What is j in b(j) = 0?
-1, -2/5, 0, 1
Let z(o) = -15*o**4 - 17*o**3 + 81*o**2 - 13*o - 39. Let p(g) = -7*g**4 - 9*g**3 + 40*g**2 - 6*g - 18. Let u(t) = 13*p(t) - 6*z(t). What is b in u(b) = 0?
-17, 0, 2
Let p(f) be the second derivative of -f**6/30 - 27*f**5/20 + 2*f - 20. Factor p(o).
-o**3*(o + 27)
Let v(y) be the first derivative of 0*y + 17 + 2/55*y**5 - 8/11*y**2 - 8/33*y**3 + 1/11*y**4. Factor v(i).
2*i*(i - 2)*(i + 2)**2/11
Suppose 29*z - 42*z**3 - 43*z**3 + 16*z**2 + 128*z**3 - 42*z**3 + 14 = 0. What is z?
-14, -1
Let s be 4/(-8) + 35/14. Suppose 16*x - x**4 + 16*x**2 + 8*x**2 + 0*x**4 + 9*x**3 + s*x**4 = 0. What is x?
-4, -1, 0
Factor 54 + 1/6*v**2 - 6*v.
(v - 18)**2/6
Let o(k) be the second derivative of -k**7/14 - 11*k**6/24 - 2*k**5/3 + 5*k**4/6 - 9*k**2/2 + 21*k. Let h(r) be the first derivative of o(r). Factor h(w).
-5*w*(w + 2)**2*(3*w - 1)
Let z be (-4 - 0 - -1) + (-345)/(-161) + 2. Let d = 261/182 - 1/182. Determine v so that -z*v**2 + d*v - 2/7 = 0.
1/4, 1
Let c = -32 - -34. Find l, given that -17*l**c - 67 - 8*l**2 + 57 + 35*l**4 - 45*l + 45*l**3 = 0.
-1, -2/7, 1
Let j(t) be the second derivative of -t**7/147 + 2*t**6/105 + 11*t**5/70 - 20*t**4/21 + 44*t**3/21 - 16*t**2/7 - 2*t - 42. Suppose j(w) = 0. What is w?
-4, 1, 2
Factor 14/5*h**3 + 0 - 6*h**2 - 2/5*h**4 + 18/5*h.
-2*h*(h - 3)**2*(h - 1)/5
Let w = 12917/11284 - 3/1612. Suppose -w + 18/7*h + 5/7*h**2 = 0. Calculate h.
-4, 2/5
Let t(i) be the second derivative of i**7/2 + 221*i**6/50 + 69*i**5/50 - 29*i**4/5 + 12*i**3/5 - 711*i. Solve t(q) = 0.
-6, -1, 0, 2/7, 2/5
Let k(i) = -4*i**2 + 107 + 10*i**3 - 5*i**4 + i**4 - 97 - 6*i. Let g(o) = -9*o**4 + 21*o**3 - 7*o**2 - 11*o + 21. Let u(y) = 4*g(y) - 10*k(y). Factor u(m).
4*(m - 2)**2*(m - 1)*(m + 1)
Let f be (-68)/18*561/(-374) - 5. Suppose 2/3*o**2 + 2/3*o - 2/3*o**3 + 0 - f*o**4 = 0. What is o?
-1, 0, 1
Let n = 120/73 + 615/292. Solve -n*g + 9/4 + 3/4*g**3 + 3/4*g**2 = 0 for g.
-3, 1
Let z = -10 + 19. Suppose -4*d - 10 = -3*m, -2*m + d - z = -7*m. Factor -5 + 11 + 6 - 6 - m*i**2 + 4*i.
-2*(i - 3)*(i + 1)
Factor 54/7*a**2 - 114/7*a + 58/7 + 2/7*a**3.
2*(a - 1)**2*(a + 29)/7
Let l = 906943/11 - 82874. Let y = 425 + l. Factor 0*t**2 - 2/11 + 4/11*t**3 + 2/11*t**4 - y*t.
2*(t - 1)*(t + 1)**3/11
Let d(z) be the first derivative of -6*z**3 + 0*z - 3/4*z**4 + 72/5*z**5 - 8*z**6 - 3/2*z**2 + 12. Factor d(w).
-3*w*(w - 1)**2*(4*w + 1)**2
Let g(h) be the second derivative of -3*h**7/14 - 34*h**6/5 - 753*h**5/10 - 314*h**4 - 495*h**3/2 + 486*h**2 + 405*h. Let g(b) = 0. What is b?
-9, -4, -1, 1/3
Let v(d) = -4*d**4 + d**3 + 9*d**2 - 7*d - 8. Let s(t) = 12 + 13*t - 2*t**3 + 8*t**4 - t**4 + 6*t**2 - 23*t**2 + 4. Let f(w) = -3*s(w) - 5*v(w). Factor f(r).
-(r - 2)**2*(r + 1)*(r + 2)
Suppose 2 = 8*r - 11*r + 4*f, 0 = 3*r - 3*f + 6. Let g be (0 - (0 - r))*21/(-231). Determine c, given that 6/11*c**4 + 4/11*c**3 - g*c**2 + 0 - 4/11*c = 0.
-1, -2/3, 0, 1
Let s be (-17)/(-5) - (2760/(-100) + 29). Factor 0*u - 1/2*u**4 - 1/6*u**5 + 0 - 1/6*u**s - 1/2*u**3.
-u**2*(u + 1)**3/6
Let y = 42 - 293/7. Let x(p) be the second derivative of y*p**2 + 1/42*p**4 + 2/21*p**3 + 0 + 2*p. Find w such that x(w) = 0.
-1
Let z(k) be the first derivative of k**6/9 - 2*k**5/3 + k**4/6 + 34*k**3/9 - 22*k**2/3 + 16*k/3 + 105. Solve z(u) = 0 for u.
-2, 1, 4
Let c be 281826/3978 + (-45)/3. Factor 2/13*f**3 + 2662/13 + c*f + 66/13*f**2.
2*(f + 11)**3/13
Let h(u) = u**3 + 9*u**2 + u + 11. Let o be h(-9). Suppose s + 10 = o*n + 2, s + 3*n - 17 = 0. Factor j**2 + 2*j**3 - 4*j**s - 5*j**3.
-3*j**2*(j + 1)
Suppose 19 = -5*p + 4. Let r(d) = d**3 + 2*d**2 - 2*d + 5. Let u be r(p). Solve -6/5*y + 2/5 + 6/5*y**3 - 2/5*y**u = 0 for y.
-1, 1/3, 1
Let n = -17008/35 - -486. Let u(a) be the first derivative of 5 + n*a**5 - 3/7*a**4 + 26/21*a**3 - 12/7*a**2 + 8/7*a. Determine b, given that u(b) = 0.
1, 2
Determine k so that 29*k**4 - 121 + 130 - 32*k**4 + 24*k + 18*k**2 = 0.
-1, 3
Suppose -2*d = -152 + 146. Factor 0 - 3/4*a**4 + 3/4*a**d + 12*a**2 + 15*a.
-3*a*(a - 5)*(a + 2)**2/4
Let d(v) = -20*v - 296. Let g be d(-15). Let z(b) be the second derivative of 1/7*b**2 - 4*b + 0*b**3 - 1/42*b**g + 0. Factor z(r).
-2*(r - 1)*(r + 1)/7
Let q(c) be the first derivative of c**7/21 + 3*c**6/35 - 6*c**5/35 - 2*c**4/21 + 4*c + 18. Let f(o) be the first derivative of q(o). Solve f(d) = 0 for d.
-2, -2/7, 0, 1
Let a(j) be the first derivative of 4*j**5 + 2/3*j**6 + 0*j + 7*j**4 + 0*j**2 + 4*j**3 - 4. Factor a(k).
4*k**2*(k + 1)**2*(k + 3)
Suppose 228*p - 226*p + 22 = 0. Let h(s) = -5*s**2 - 7*s + 2. Let l(g) = -27*g**2 - 36*g + 11. Let x(c) = p*h(c) + 2*l(c). What is q in x(q) = 0?
-5, 0
Let q(s) be the second derivative of -s**4/30 + 4*s**3/3 - 20*s**2 - 174*s. Factor q(p).
-2*(p - 10)**2/5
Let b(l) be the second derivative of -2*l + 7/110*l**5 - 8/33*l**4 + 0*l**2 + 4/33*l**3 + 0. Solve b(u) = 0.
0, 2/7, 2
Factor 3969/4*m + 3/4*m**3 + 27783/4 + 189/4*m**2.
3*(m + 21)**3/4
Factor -3/10*u + 0*u**2 - 1/5 + 1/10*u**3.
(u - 2)*(u + 1)**2/10
Let k(p) = 5*p - 4*p - 2 + 11*p. Let f be k(1). Factor 6*n**2 + 8*n**3 + 2*n**5 - 8*n**4 + 0*n**5 - f*n - 2*n**2 + 4.
2*(n - 2)*(n - 1)**3*(n + 1)
Let g be (0 - (-2)/(-12))*28/(-560). Let z(o) be the third derivative of -2/3*o**3 + 1/3*o**4 + 0*o + 10*o**2 + 0 - 1/12*o**5 + g*o**6. Factor z(l).
(l - 2)**2*(l - 1)
Let s(t) be the first derivative of -3*t**4/22 - 10*t**3/11 + 3*t**2/11 + 30*t/11 + 109. Solve s(o) = 0 for o.
-5, -1, 1
Let r be ((-192)/(-36))/(2/(-3)). Let j be 9 + (r - (-1 - 1)). Factor 2/9*b**j + 4/9*b**2 - 4/9 - 2/9*b.
2*(b - 1)*(b + 1)*(b + 2)/9
Let k = -20906/9 - -2323. Factor -k*z**2 + 0*z + 2/9*z**3 - 1/9*z**4 + 0.
-z**2*(z - 1)**2/9
Let f(p) be the second derivative of 0*p**3 + 8*p - 8/15*p**6 + 8/5*p**5 + 0 - 3/2*p**4 - 5/2*p**2. Let k(d) be the first derivative of f(d). Factor k(a).
-4*a*(4*a - 3)**2
Let n be 32/(-14)*((-204)/648 - 4/54). Determine y so that -10/3*y**3 + 2*y - 4/9 - n*y**2 = 0.
-1, 1/3, 2/5
Find r, given that 38/9 + 1/9*r**2 - 7/3*r = 0.
2, 19
Let w(g) be the first derivative of 2*g**5/65 + 31*g**4/26 - 22*g**3/13 - 31*g**2/13 + 64*g/13 + 213. Solve w(p) = 0 for p.
-32, -1, 1
Let c = -31203 + 31207. Suppose 0*s**3 + 2/7*s**c + 0*s**2 + 0 + 0*s = 0. Calculate s.
0
Suppose 4*g - 21 + 69 = 0. Let s(x) = -x**3 - 12*x**2 - x - 8. Let t be s(g). Factor -3*k**2 - 5*k + 7*k - t*k.
-k*(3*k + 2)
Let x(y) be the second derivative of 6/7*y**2 + 0 + 1/42*y**4 - 8*y + 1/3*y**3. Find c, given that x(c) = 0.
-6, -1
Let f(h) be the third derivative of -5*h**8/1512 - 4*h**7/315 - h**6/135 - h**2 + 3. Factor 