ate j.
-1, 0, 1, 2
Let d be 1 + -1 + 2 - 768/400. Let c(x) be the first derivative of 0*x**4 + 0*x - 1/15*x**6 + 0*x**3 - 1 - d*x**5 + 0*x**2. Factor c(v).
-2*v**4*(v + 1)/5
Let c(o) be the first derivative of o**6/12 - o**4/2 - o**3/3 + 3*o**2/4 + o - 19. Factor c(r).
(r - 2)*(r - 1)*(r + 1)**3/2
Let r = -27 - -27. Let l = -10 - -12. Factor -1/5 + r*y + 1/5*y**l.
(y - 1)*(y + 1)/5
Let o(w) be the third derivative of -5*w**8/336 + 2*w**7/21 - w**6/8 - w**5/3 + 5*w**4/6 + 22*w**2. Find c such that o(c) = 0.
-1, 0, 1, 2
Let n(k) = k**3 - 21*k**2 + k - 19. Let x be n(21). Let 0*g + 1/2*g**4 + x*g**2 + 2*g**3 + 0 = 0. What is g?
-2, 0
Let p(n) be the second derivative of -n**7/168 - n**6/120 + n**5/16 - n**4/16 - 11*n. Factor p(u).
-u**2*(u - 1)**2*(u + 3)/4
Let o(a) be the third derivative of 1/200*a**6 + 1/50*a**5 + 1/40*a**4 + 0 + 0*a + 0*a**3 + 4*a**2. Factor o(p).
3*p*(p + 1)**2/5
Let r(g) = -g**2 - 5*g - 4. Let y be r(-4). Let z(x) be the third derivative of 0 + 1/12*x**3 - 1/120*x**5 - 1/32*x**4 + 2*x**2 + y*x. Factor z(j).
-(j + 2)*(2*j - 1)/4
Let a(i) be the second derivative of -3*i**5/20 - i**4 - 5*i**3/2 - 3*i**2 + 2*i. Factor a(m).
-3*(m + 1)**2*(m + 2)
Let o(s) be the second derivative of -s**4/4 - 11*s**3 - 363*s**2/2 + 8*s + 1. Determine l, given that o(l) = 0.
-11
Let b(l) be the first derivative of -17/8*l**2 + 37/12*l**3 - 2 - 12/5*l**5 + 1/2*l**4 + 1/2*l. What is r in b(r) = 0?
-1, 1/4, 2/3
Let u be (-6)/(-2) - (3 - 0). Let l(x) be the second derivative of -x + 1/3*x**3 + u - 1/12*x**4 - 1/2*x**2. Factor l(y).
-(y - 1)**2
Let d(t) be the third derivative of t**5/15 + t**4/6 - 4*t**3/3 - 13*t**2. Let d(z) = 0. Calculate z.
-2, 1
Let f(w) = 8*w**3 - 5*w**2 - 10*w + 3. Let n(b) = 23*b**3 - 16*b**2 - 29*b + 10. Let c(t) = 8*f(t) - 3*n(t). What is s in c(s) = 0?
-1, 3/5, 2
Let n be 3/5 - 64/640. Determine k so that -1/2*k**3 + 0 - k**2 - n*k = 0.
-1, 0
Let k(t) = t**2 + 16*t + 58. Let h be k(-5). Factor 2/7*u**h - 2/7*u + 0*u**2 + 0.
2*u*(u - 1)*(u + 1)/7
Let d be (-6)/(-4) + (-2)/(-4). Factor 2*y**3 - 4*y + 5*y - y**3 + 0*y + d*y**2.
y*(y + 1)**2
Determine c, given that -40/11*c**2 + 18/11*c**3 + 26/11*c - 4/11 = 0.
2/9, 1
Let w(p) be the third derivative of -p**8/30240 + p**7/2835 - p**6/648 + p**5/270 - p**4/24 + 8*p**2. Let f(j) be the second derivative of w(j). Factor f(g).
-2*(g - 2)*(g - 1)**2/9
Let u(j) be the first derivative of -2*j**5/5 - j**4/2 + 2*j**3/3 + j**2 - 3. Factor u(o).
-2*o*(o - 1)*(o + 1)**2
Solve 2/5*b**3 + 0*b**2 + 0 - 2/5*b = 0.
-1, 0, 1
Let w(v) be the third derivative of -v**5/40 - v**4/8 + 22*v**2. Let w(o) = 0. Calculate o.
-2, 0
Let a(h) be the second derivative of 0 + 9*h + 0*h**4 - 1/16*h**3 + 1/160*h**5 - 1/8*h**2. Factor a(g).
(g - 2)*(g + 1)**2/8
Let q = -21 + 26. Let b(f) be the third derivative of 0*f**3 + 1/70*f**7 - 1/8*f**4 - 3/40*f**6 + 0 + 3/20*f**q - 4*f**2 + 0*f. Solve b(d) = 0.
0, 1
Let y(a) = -8*a**5 + 33*a**4 - 7*a**3 - 25*a**2 + 33*a + 1. Let u(o) = -2*o**5 + 8*o**4 - 2*o**3 - 6*o**2 + 8*o. Let g(b) = -9*u(b) + 2*y(b). Factor g(v).
2*(v - 1)**4*(v + 1)
Let i(z) be the second derivative of -49*z**7/10 - 49*z**6/50 + 63*z**5/10 - 19*z**4/5 + 4*z**3/5 + 11*z. Find r, given that i(r) = 0.
-1, 0, 2/7
Suppose -5*b + 5*p = -40, b + 2*p - p = 0. Solve -s**4 + 2*s**2 - 3*s**4 + 2*s - 2*s**3 + 2*s**b = 0.
-1, 0, 1
Let l(j) be the third derivative of 0*j - 3/5*j**3 + 1/10*j**4 - j**2 + 0 - 1/150*j**5. Let l(v) = 0. What is v?
3
Let j(s) be the third derivative of 1/56*s**8 + 1/30*s**5 + 0*s + 0*s**4 + 0*s**3 + 1/60*s**6 + 0 + s**2 - 1/21*s**7. Solve j(z) = 0 for z.
-1/3, 0, 1
Let r(w) = w**3 - w**2 + w. Let u(i) = -2*i**4 + 11*i**3 - 9*i**2 + 9*i. Let a(g) = -18*r(g) + 2*u(g). Suppose a(f) = 0. Calculate f.
0, 1
Let b(v) be the second derivative of v**6/15 + 3*v**5/10 + v**4/2 + v**3/3 - 2*v. Factor b(f).
2*f*(f + 1)**3
Let w be -8*1/5*(-40)/48. Factor w*r - 2*r**2 + 4/3*r**3 - 1/3*r**4 - 1/3.
-(r - 1)**4/3
Let d = -11 - -11. Let p(t) be the second derivative of 1/20*t**5 + 2*t + 0*t**3 + d*t**2 + 0*t**4 + 0. Factor p(o).
o**3
Let h = -99 + 104. Factor -2/5*w + 0 + 0*w**3 - 4/5*w**4 + 2/5*w**h + 4/5*w**2.
2*w*(w - 1)**3*(w + 1)/5
Let x = 234 + -3512/15. Let o = 1/5 - x. Factor 4/3*a + o*a**3 + 4/3*a**2 + 0.
a*(a + 2)**2/3
Let i(d) = -d**2 - 7*d + 2. Let k be i(-5). Let p = -9 + k. Factor 0 - 1/3*z**4 + 0*z + 1/3*z**2 - 1/3*z**5 + 1/3*z**p.
-z**2*(z - 1)*(z + 1)**2/3
Let y(r) = -2*r**2 - 5*r. Let o be y(0). Solve o*n**3 + 1/2*n**5 - 1/2*n + n**4 + 0 - n**2 = 0 for n.
-1, 0, 1
Let d be (-3)/(-1)*(-4)/(-3). Factor 3*k**2 - 6*k - 4*k**2 + d*k.
-k*(k + 2)
Factor -2/5*a**4 + 6/5*a + 0 + 2/5*a**2 - 6/5*a**3.
-2*a*(a - 1)*(a + 1)*(a + 3)/5
Let l(h) be the second derivative of 1/9*h**3 + 0 - 1/30*h**5 + 4*h - 2/3*h**2 - 1/45*h**6 + 1/6*h**4. Determine b so that l(b) = 0.
-2, -1, 1
Suppose -3 - 10 = -q. Factor -11*i**2 - 11*i + i**4 + 8*i**4 + q*i + 12*i**3.
i*(i + 2)*(3*i - 1)**2
Let i(u) be the third derivative of -1/120*u**6 - 1/60*u**5 + 0*u + 0*u**3 + 0 + 0*u**4 + 2*u**2. Solve i(f) = 0 for f.
-1, 0
Let a(c) be the second derivative of 3*c - 4/21*c**3 - 1/7*c**2 + 0 - 2/35*c**5 - 1/7*c**4 - 1/105*c**6. Factor a(x).
-2*(x + 1)**4/7
Factor -16*c - 20*c**3 + 4*c**4 - 165 + 165 + 32*c**2.
4*c*(c - 2)**2*(c - 1)
Let f(d) be the first derivative of d**5/20 - d**4/16 - d**3/12 + d**2/8 + 2. Factor f(b).
b*(b - 1)**2*(b + 1)/4
Let t(v) be the first derivative of 0*v + 0*v**3 + 1/4*v**4 + 0*v**2 + 6. Factor t(b).
b**3
Let d(f) be the second derivative of 9*f**5/5 - 11*f**4/3 - 32*f**3/3 + 8*f**2 + 3*f. Factor d(j).
4*(j - 2)*(j + 1)*(9*j - 2)
Let r be 3/(-3)*(1 - 1). Let d be (-2 - (0 + -8))/2. Find c, given that 5*c**2 + 2*c**5 - c**d - 2*c + c**5 + r*c - 5*c**4 = 0.
-1, 0, 2/3, 1
Let z(x) be the third derivative of 11*x**7/40 + 41*x**6/160 - 2*x**5/5 + x**4/8 - 8*x**2. Find o, given that z(o) = 0.
-1, 0, 2/11, 2/7
Suppose 14 - 8 = 3*x. Let b(l) be the first derivative of -2 + 2/7*l**x + 2/7*l + 2/21*l**3. Determine s so that b(s) = 0.
-1
Determine k, given that 1/7*k**3 - 1/7*k**2 - 2/7*k + 0 = 0.
-1, 0, 2
Suppose -c + 3*u = 4*c - 15, -3*u = 0. Let 2*j**2 - 2*j**3 + 0*j**c + 0*j**2 = 0. What is j?
0, 1
Factor 0*u**4 + 3*u**3 - 2 + u**2 - 3*u + u**4 + 0 + 0*u**2.
(u - 1)*(u + 1)**2*(u + 2)
Suppose -5*r + 2 - 22 = 0. Let p be 8/(-18)*6/r. Determine z so that -2*z**2 - p + 8/3*z = 0.
1/3, 1
Suppose 6*j - 18 = -0*j. Factor -r**2 - 2*r**2 - 5*r - r**2 - j*r.
-4*r*(r + 2)
Let r(t) be the first derivative of -t**3/24 + t**2/8 - 7. Solve r(x) = 0 for x.
0, 2
Let a(i) be the third derivative of -1/630*i**7 + 0*i**6 + 1/180*i**5 + 0*i + 6*i**2 + 0 + 0*i**3 + 0*i**4. Factor a(x).
-x**2*(x - 1)*(x + 1)/3
Let w(f) be the second derivative of f**4/4 + f**3/2 - 7*f. Factor w(a).
3*a*(a + 1)
Let o = 8/11 + -29/55. Let p(d) be the first derivative of 1/5*d**3 - 2 + o*d + 2/5*d**2. Let p(c) = 0. Calculate c.
-1, -1/3
Let p = 14 + -12. Let m(s) be the second derivative of 1/10*s**5 - s + 0 + s**p - 1/6*s**4 - 1/3*s**3. Determine b so that m(b) = 0.
-1, 1
Find i, given that 4*i**2 + 1053*i - 1085*i + 24 + 4 = 0.
1, 7
Let z = -412 - -1237/3. Find w such that z*w**2 + 4/3*w + 1 = 0.
-3, -1
Let m(d) be the second derivative of 2*d - 2/3*d**2 + 0 + 1/6*d**4 - 1/9*d**3. Let m(l) = 0. What is l?
-2/3, 1
Factor -2/5*u + 2/5 + 2/5*u**4 - 4/5*u**2 - 2/5*u**5 + 4/5*u**3.
-2*(u - 1)**3*(u + 1)**2/5
Let w(j) be the second derivative of -j**7/21 + 2*j**6/15 - j**5/10 - 5*j. Factor w(v).
-2*v**3*(v - 1)**2
Let k(s) be the first derivative of 3*s**4/4 + 12*s**3 + 72*s**2 + 192*s - 7. Factor k(d).
3*(d + 4)**3
Suppose 0 = w - 2*a - 2, 4*a + 22 = w + 4*w. Let s = w - 4. Factor 23 - 3*l - 9*l**3 + 12*l**s - 23.
-3*l*(l - 1)*(3*l - 1)
Let m(g) = -80*g**2 + 25*g - 3. Let f(d) = d + 4 + 79*d**2 - 1 - 11*d - 16*d. Let c(k) = -5*f(k) - 4*m(k). Factor c(h).
-3*(5*h - 1)**2
Let o(r) = 2*r**2 - 12*r - 8. Let y(c) = -5*c**2 + 35*c + 23. Let z(i) = 17*o(i) + 6*y(i). Suppose z(a) = 0. What is a?
-1, -1/2
Let f = -25/3 + 59/7. Let c(h) be the second derivative of f*h**3 + 1/42*h**4 + 0*h**2 + 2*h + 0. Factor c(r).
2*r*(r + 2)/7
Suppose s + 2 = 4. Let f be ((-5)/(-4))/((-15)/(-60)). Factor 4/3*n**s - 2/3*n + 0*n**3 - 4/3*n**4 + 2/3*n**f + 0.
2*n*(n - 