ivative of u(o). Suppose y(f) = 0. What is f?
-2, 1
Let s(d) = -d**2 - 13*d - 12. Let f be s(-8). Let c(k) = -3*k + 88. Let z be c(f). Factor -1/3*n**3 - n**2 + 1/3*n**z + 1/3*n + 2/3.
(n - 2)*(n - 1)*(n + 1)**2/3
Let g(b) be the third derivative of -b**7/1120 - b**6/240 - b**5/160 + 25*b**4/24 - 19*b**2. Let c(l) be the second derivative of g(l). What is i in c(i) = 0?
-1, -1/3
Let h be -6 - 1081/6*15/(-450). Let a(f) be the third derivative of 0*f**3 + 1/36*f**4 + 0 + 0*f + 6*f**2 + h*f**5. Factor a(m).
m*(m + 2)/3
Let t(u) be the first derivative of -275*u**6/6 - 318*u**5 + 4505*u**4/4 - 2980*u**3/3 + 90*u**2 + 160*u + 484. Solve t(h) = 0 for h.
-8, -2/11, 2/5, 1
Let m(j) = j**2 - j + 1. Let v be m(-5). Let x = 17 - 15. Factor 4*p**2 + 0 - 6 - 10*p + v*p + 2*p**x - 21*p**3.
-3*(p - 1)*(p + 1)*(7*p - 2)
Let x(s) = 21*s**3 + 10*s**4 - s**2 - 11*s**4 - 4 - 23*s**3. Let d(i) = -2*i**4 - 3*i**3 - 2*i**2 - 7. Let c(o) = 4*d(o) - 7*x(o). Factor c(q).
-q**2*(q - 1)**2
Let n(w) = -7*w**2 - 260*w - 16105. Let i(a) = -6*a**2 - 259*a - 16109. Let y(k) = 6*i(k) - 5*n(k). What is m in y(m) = 0?
-127
Let t(q) be the third derivative of q**8/252 - 38*q**7/315 + 56*q**6/45 - 188*q**5/45 - 32*q**4/9 + 512*q**3/9 + 14*q**2 - 4*q. Determine m so that t(m) = 0.
-1, 2, 8
Let u(q) = q + 15. Let r be u(-14). Suppose -o + r = -3*g + 2, o + 4*g = 20. Let o*b**2 - 4/3 + 2*b + 14/3*b**3 = 0. What is b?
-1, 2/7
Let u(v) = 6*v**3 - 4*v. Let s(r) = -r**3 + r. Let p = 3 + -4. Let h(m) = p*u(m) - 4*s(m). Factor h(t).
-2*t**3
Suppose -4*m = -2*s + 20, m + m = 2*s - 10. Let z be 3/((-4 + s)/(-4)). Factor z + 0 + 2 - 12*w - 12*w**2 - 9 - 4*w**3.
-4*(w + 1)**3
Let n(c) be the second derivative of 110/9*c**4 + 5/6*c**5 + 0 + 164/9*c**3 + 9*c + 32/3*c**2. Let n(v) = 0. Calculate v.
-8, -2/5
Factor 2*c**3 - 2*c**2 + 4*c**2 - c**2 + 550*c**4 - 549*c**4.
c**2*(c + 1)**2
Let n(q) = 7*q**4 - 4*q**2 - 5*q + 17. Let d(z) = 3*z**4 - 2*z**2 - 2*z + 7. Let r(o) = 5*d(o) - 2*n(o). Factor r(c).
(c - 1)**2*(c + 1)**2
What is y in 7/2*y + 1 + 3/2*y**2 = 0?
-2, -1/3
Let z(b) = -2*b**3 + 20*b**2 + 46*b + 27. Let c be z(12). Factor 3/5*o**3 + 9/5*o**2 + c - 27/5*o.
3*(o - 1)**2*(o + 5)/5
Let f(q) = -5*q + 60. Let y be f(11). Suppose j + 7 = -5*w + 17, -y*j = -3*w + 34. Find l, given that -8/5 + 16/5*l - 2*l**2 + 2/5*l**w = 0.
1, 2
Let n(z) be the first derivative of 1/3*z**3 + 31 - 2*z + 1/2*z**2. Factor n(i).
(i - 1)*(i + 2)
Let y(w) be the first derivative of w**6/120 - w**5/80 - w**4/48 + w**3/24 - 7*w - 12. Let g(s) be the first derivative of y(s). Factor g(l).
l*(l - 1)**2*(l + 1)/4
Let y(u) = -u**2 - 3*u + 4. Let m be y(-3). Factor -9*q**4 + 2*q**3 + 10*q**4 - 3*q**m.
-2*q**3*(q - 1)
Let b(y) be the second derivative of y**6/60 + y**5/30 - y**4/6 + 7*y**2/2 - 6*y. Let t(k) be the first derivative of b(k). Factor t(l).
2*l*(l - 1)*(l + 2)
Let j(x) be the second derivative of 1/11*x**3 - 17*x + 0 - 2/11*x**2 - 1/66*x**4. Factor j(f).
-2*(f - 2)*(f - 1)/11
Let r(h) be the third derivative of h**7/315 + h**6/90 + h**5/90 - h**2 + 3*h. Factor r(p).
2*p**2*(p + 1)**2/3
Let j = 5 - 0. Let u(k) = k**3 - 4*k**2 - 5*k + 2. Let v be u(j). Factor -2*c - 4 + 4*c**2 + 0*c**2 - 2*c**v.
2*(c - 2)*(c + 1)
Let x(g) be the first derivative of -4*g**3/9 + 2*g**2 + 112*g/3 - 356. Suppose x(r) = 0. What is r?
-4, 7
Let 0 - 10/13*y + 2/13*y**2 = 0. Calculate y.
0, 5
Let s(r) = r**2 + 13*r + 5. Let l be s(-13). Suppose -u = 4*j - 23, j + 3 - 4 = -l*u. Determine i, given that 27*i + j - 3*i**3 - 24*i - 8*i**2 + 2*i**2 = 0.
-2, -1, 1
Determine o so that 0*o**2 - 2/23*o**3 + 0*o + 0*o**4 + 2/23*o**5 + 0 = 0.
-1, 0, 1
Let j = 43 - 7. Suppose 0 = -5*t + t + j. Find c such that -5 + 0 - 13*c + 2 + 4*c - 3*c**3 - t*c**2 = 0.
-1
Suppose -8 = -4*k - h - 2*h, 0 = 4*k - h - 8. Suppose 1 - 3*s**k + 4 - 2*s**2 + 0*s**2 = 0. Calculate s.
-1, 1
Factor -43*r**3 - 2*r**3 + 60*r**3 - 10*r**2 - 164*r - 76*r + 160.
5*(r - 4)*(r + 4)*(3*r - 2)
Solve 5/2 + 1/6*h**2 - 8/3*h = 0.
1, 15
Let f(r) be the first derivative of 5*r**7/42 - 3*r**5/4 - 5*r**4/6 - 24*r - 13. Let b(q) be the first derivative of f(q). Factor b(j).
5*j**2*(j - 2)*(j + 1)**2
Factor 8/9*p**2 + 110/9*p - 28/9.
2*(p + 14)*(4*p - 1)/9
Let s(g) be the second derivative of -g**4/12 + 23*g**3/6 - 30*g**2 + 180*g. Determine i so that s(i) = 0.
3, 20
Let c(a) be the second derivative of 3*a**6/2 - 37*a**5/2 + 845*a**4/12 - 310*a**3/3 + 50*a**2 + a - 42. Determine h, given that c(h) = 0.
2/9, 1, 2, 5
Let h = -16 + 20. Factor -3*t**2 + 7*t**4 + 5*t**4 - 15*t**h - 6*t**3.
-3*t**2*(t + 1)**2
Let y(h) be the third derivative of -h**5/12 + 5*h**4/6 - 5*h**3/2 + 9*h**2 + 18*h. Determine a so that y(a) = 0.
1, 3
Let f(j) = 6*j**2 - 164*j - 103. Let q be f(28). Let q + 1/4*h**2 + 3*h = 0. Calculate h.
-6
Let m(a) be the second derivative of 1/3*a**4 + 0 - a - 1/3*a**3 + 1/60*a**6 - 1/8*a**5 + 0*a**2. Factor m(h).
h*(h - 2)**2*(h - 1)/2
Let o(l) = -l**3 + 11*l**2 + 13*l - 16. Let i be o(12). Let w be (i - -3) + (-34)/(-10). Suppose 2/5 + 2/5*u**4 - 8/5*u + w*u**2 - 8/5*u**3 = 0. What is u?
1
Let v(b) be the first derivative of -2*b**4 - 13*b**3/3 - 3*b - 27. Let y(j) = -15*j**3 - 25*j**2 - 5. Let u(l) = -5*v(l) + 3*y(l). Factor u(a).
-5*a**2*(a + 2)
Let s(d) be the third derivative of d**5/60 + 5*d**4/12 + 8*d**3/3 + d**2 - 19. Factor s(m).
(m + 2)*(m + 8)
Find z, given that 17/5*z + 3 + 1/5*z**2 - 1/5*z**3 = 0.
-3, -1, 5
Let o(h) be the first derivative of h**7/630 + h**6/120 + h**5/90 + h**2 + 5. Let k(l) be the second derivative of o(l). Factor k(u).
u**2*(u + 1)*(u + 2)/3
Factor 196*c**2 + 22*c**4 + 25*c**4 - 112*c**3 - 31*c**4.
4*c**2*(2*c - 7)**2
Let k(x) be the second derivative of x**4/20 + 9*x**3/5 - 48*x - 1. What is b in k(b) = 0?
-18, 0
Factor 0*p + 8/3*p**3 - 4/3*p**4 + 0 + 0*p**2 - 4/3*p**5.
-4*p**3*(p - 1)*(p + 2)/3
Let p(i) be the second derivative of -1/24*i**3 - 1/168*i**7 - 1/8*i**2 - 1/120*i**6 + 0 + 13*i + 1/40*i**5 + 1/24*i**4. Solve p(y) = 0 for y.
-1, 1
Let j(v) be the third derivative of -v**5/50 - v**4/20 + 6*v**3/5 + 8*v**2 - v. Factor j(w).
-6*(w - 2)*(w + 3)/5
Let i be 0 - 2*1*(-2 + 1). Factor -47 - 10*h**3 - 6*h**3 + 39 + 4*h**5 + 8*h**i + 12*h.
4*(h - 1)**3*(h + 1)*(h + 2)
Let w = 1431 - 150254/105. Let i(p) be the third derivative of -1/12*p**4 + 1/10*p**5 - w*p**7 + 1/60*p**6 + 4*p**2 - 2/3*p**3 + 0*p + 0. Factor i(l).
-2*(l - 2)*(l - 1)*(l + 1)**2
Suppose 0*f**2 + f**3 + 0 + 0*f + 1/3*f**4 = 0. Calculate f.
-3, 0
Let n(c) be the first derivative of -2*c**3/3 + 134*c**2 - 8978*c + 511. Solve n(s) = 0 for s.
67
Find a, given that 0 + 11/8*a - 3/2*a**2 + 1/8*a**3 = 0.
0, 1, 11
Let l(x) be the second derivative of -x**4/6 + 44*x**3/3 - 208*x. Factor l(a).
-2*a*(a - 44)
Let j(i) be the second derivative of -i**8/20160 - i**4/12 - 12*i. Let x(w) be the third derivative of j(w). Let x(b) = 0. What is b?
0
Suppose 5*z = 4*m - 15, 3*m + 2*m - 12 = 4*z. Let v(r) = r + 4. Let u be v(z). Factor 3/2*d + 1/2*d**2 + u.
(d + 1)*(d + 2)/2
Let b(s) = 4 - s**3 + 2 + 4 + 0*s**3 + 2*s**2 + 5*s - 4. Let x(w) = 2*w - w**3 + 4*w - 2*w + 2*w**2 + 5. Let z(j) = 5*b(j) - 6*x(j). Solve z(c) = 0.
0, 1
Let j(f) be the third derivative of f**5/60 + f**4 + 21*f**3/2 - 242*f**2. Determine a, given that j(a) = 0.
-21, -3
Factor -188 + 3*u**2 + 72 - 3*u**2 - 69 - 190*u - 5*u**2.
-5*(u + 1)*(u + 37)
Suppose -4*u + 2 = o - 0*o, -4 = 2*u - 2*o. Let g(j) be the third derivative of -1/15*j**5 - 3*j**2 + 1/6*j**4 + u + 0*j**3 + 0*j. Solve g(v) = 0 for v.
0, 1
Let i(a) be the second derivative of a**5/70 + 11*a**4/42 - 4*a**3/7 + 166*a - 2. Factor i(l).
2*l*(l - 1)*(l + 12)/7
Let u(x) be the first derivative of 2/15*x**3 - 4/5*x + 3 - 1/5*x**2. Determine b, given that u(b) = 0.
-1, 2
Suppose 1/3*w - 1/6*w**2 - 1/6*w**3 + 0 = 0. What is w?
-2, 0, 1
Let s(w) be the third derivative of -1/105*w**5 - 25*w**2 + 0*w**4 + 1/21*w**3 + 1/735*w**7 + 0 + 0*w + 0*w**6. Factor s(g).
2*(g - 1)**2*(g + 1)**2/7
Let n(h) = -12*h - 41. Let k be n(-4). Let w = 7 - 5. Determine x, given that -28*x**3 - k*x**2 - 3*x**2 - 8*x + 21*x**w + 17*x**2 + 8*x**4 = 0.
0, 1/2, 1, 2
Suppose -4*r = -5*p - 10, 0 = -4*r + 3 + 17. Factor -2/3*b**p + 2*b - 4/3.
-2*(b - 2)*(b - 1)/3
Let r(c) be the third derivative of 0 + 0*c 