*4 - 92*c**3/3 - 24*c**2 - 504. Factor u(l).
4*l*(l - 12)*(l + 1)**2
Let m = -2/255 + 259/510. Let v(f) be the second derivative of -6*f + m*f**4 + 0 + 0*f**3 + 0*f**2 - 3/20*f**5. Factor v(a).
-3*a**2*(a - 2)
Let m(h) be the third derivative of -1/105*h**6 + 0*h - 2/735*h**7 + 0*h**3 + 0*h**4 + 0 + 15*h**2 - 1/105*h**5. Factor m(j).
-4*j**2*(j + 1)**2/7
Let c be (7/((-224)/(-24)))/(1/16). Let y be (-70)/150 - c/(-15). Factor 4/3*s**3 + 5/3*s**2 + y*s**4 + 0 + 2/3*s.
s*(s + 1)**2*(s + 2)/3
Let m(y) be the second derivative of -y**9/13440 + y**8/2240 - y**7/1120 + y**5/320 + 2*y**4/3 + 12*y. Let v(j) be the third derivative of m(j). Factor v(d).
-3*(d - 1)**3*(3*d + 1)/8
Let n(m) be the second derivative of -m**3/6 - 6*m**2 + m. Let d be n(-14). What is p in 4*p**2 - d*p - 3*p + 0*p - 3*p = 0?
0, 2
Factor 63 + 93*s**2 - 3*s**4 + 129*s - 167053*s**3 - 9 + 167068*s**3.
-3*(s - 9)*(s + 1)**2*(s + 2)
Let q be ((-45)/405 + (-1)/(-9))/(-2). Factor q - 2/9*k**3 - 50/9*k + 20/9*k**2.
-2*k*(k - 5)**2/9
Let y(b) = b**3 - 12*b**2 + 13*b - 14. Let a be y(11). Suppose -36 = a*d - 92. Factor -d*h + 5*h - h**2 - 8*h - 4*h**2.
-5*h*(h + 2)
Let l(v) be the second derivative of -7*v**6/20 - 48*v**5/5 - 9*v**4/2 + 2*v + 9. Solve l(q) = 0.
-18, -2/7, 0
Find f such that -1/4*f**2 + 4*f - 1/4*f**3 - 5 = 0.
-5, 2
Let a(p) be the third derivative of p**8/2352 - p**7/210 + p**6/56 - p**5/84 - 2*p**4/21 + 2*p**3/7 - 4*p**2 - 10*p. Determine z so that a(z) = 0.
-1, 1, 2, 3
Solve 34*l - 4*l**2 - 289 - 5*l**2 - l**2 + 9*l**2 = 0 for l.
17
Let r = 107110/9 - 11901. Suppose l**4 + r*l**5 + 7/3*l**3 + 19/9*l**2 + 2/3*l + 0 = 0. What is l?
-6, -1, 0
Let v be (-64)/(-12) + 6/(-6) + (-19)/(-114). Factor -5/2*r + 1 - v*r**3 - 8*r**2.
-(r + 1)**2*(9*r - 2)/2
Let l be 0 + (-132)/(-9)*-3. Let b = 65 + l. Find q, given that 13*q + 23*q - 10 - 1 - 1 + b*q**2 = 0.
-2, 2/7
Let h(f) be the second derivative of 0*f**6 + 1/252*f**7 + 0*f**2 + 0 - 1/60*f**5 + f + 0*f**4 + 1/36*f**3. Factor h(m).
m*(m - 1)**2*(m + 1)**2/6
Let u be 72/(-324) - (551/9)/(-1). Let o = 61 - u. Factor -2/15*l + o*l**2 + 2/15*l**3 + 0.
2*l*(l - 1)*(l + 1)/15
Let n(x) be the first derivative of 6/5*x + 4 + 2/5*x**2 - 1/5*x**4 + 2/25*x**5 - 8/15*x**3. What is c in n(c) = 0?
-1, 1, 3
Let l(t) be the first derivative of t**6/60 + t**5/40 - t**4/8 - 19*t**3/3 + 39. Let n(h) be the third derivative of l(h). Factor n(i).
3*(i + 1)*(2*i - 1)
Let z(d) = -d + 11. Let v be z(-9). Let k = v + -16. Factor 0*y**2 + 4*y - k*y**3 + 0*y**2 - 4*y**2 - 2*y**2.
-2*y*(y + 2)*(2*y - 1)
Let r(d) be the third derivative of -d**5/180 + d**4/36 + 4*d**3/3 + 169*d**2. Factor r(u).
-(u - 6)*(u + 4)/3
Let o = -2317 - -2319. Let z be (-2 + 216/105)*10. Find g such that -z*g**3 - 16/7*g**o - 8/7 - 20/7*g = 0.
-2, -1
Let d(w) = w - 10. Let q be d(15). Suppose 5*u = -4*s + 36, -3*s + 45 = 2*s + q*u. Find p, given that p + 2*p + 3 + 3*p**2 - s*p = 0.
1
Let i(k) = -8*k**3 + 12*k**2 - 12*k - 4. Let f(c) = c**3 + c**2 + 1. Let u(o) = -4*f(o) - i(o). Solve u(r) = 0.
0, 1, 3
Let g be -4 - ((-15)/25 - 821/240). Let v = 107/528 - g. Determine a so that -10/11*a**3 + 18/11*a**2 + 4/11 + v*a**4 - 14/11*a = 0.
1, 2
Factor 26/3*h + 2/3*h**3 - 20/3*h**2 + 16.
2*(h - 8)*(h - 3)*(h + 1)/3
Let r(j) = -2*j**2 + 8*j - 4. Let q be r(3). What is u in 7*u**q - 7*u**2 - 5*u**3 - 2*u**2 - 8*u**2 = 0?
-2, 0
Let g(q) = -15*q**3 + q**2. Let l be g(-1). Let -26*x + l*x - 4*x**2 + 2*x**2 - 12 = 0. What is x?
-3, -2
Let l(w) be the second derivative of -w**7/525 - w**6/100 - w**5/50 - w**4/60 - w**2 + 9*w. Let b(j) be the first derivative of l(j). Solve b(r) = 0 for r.
-1, 0
Let q = -15310 - -76552/5. Factor 0*x**2 + 0*x + 0 - 8/5*x**3 - 6/5*x**4 + q*x**5.
2*x**3*(x - 4)*(x + 1)/5
Let s be (666/144)/(-37)*0. Factor b**3 - 1/2*b + 0*b**4 + 0*b**2 + s - 1/2*b**5.
-b*(b - 1)**2*(b + 1)**2/2
Let j(f) = -f**3 - 20*f**2 + 39*f - 22. Let a(x) = 2*x**2 + 2. Let r(k) = -2*a(k) - 2*j(k). Solve r(z) = 0 for z.
-20, 1
Let u = -89 + 95. Suppose -4*t - u = a - 23, -a = -5. Factor 5/6*h**4 + 5/3*h**2 + 1/6 - 1/6*h**5 - 5/3*h**t - 5/6*h.
-(h - 1)**5/6
Let f(y) be the first derivative of -3/32*y**4 - 14 + 1/8*y**3 + 0*y**2 + 0*y. Factor f(l).
-3*l**2*(l - 1)/8
Let i(f) be the second derivative of -f**5/40 - 2*f**4/3 + 91*f**3/12 + 845*f**2/2 - 12*f + 4. Determine l, given that i(l) = 0.
-13, 10
Let t(p) be the second derivative of p**4/21 - 2*p**3/21 + p + 1. Factor t(n).
4*n*(n - 1)/7
Let q(y) be the second derivative of y**7/210 + 7*y**6/240 + 3*y**5/40 - 4*y**4/3 - 17*y. Let l(g) be the third derivative of q(g). Factor l(r).
3*(r + 1)*(4*r + 3)
Let o(s) be the third derivative of 7*s**2 + 0 - 1/300*s**6 + 0*s**5 + 1/20*s**4 - 2/15*s**3 + 0*s. Suppose o(f) = 0. What is f?
-2, 1
Let q be (1/6)/(560/168). Let r(k) be the third derivative of 0*k - q*k**5 + 0*k**3 + 0 - 1/4*k**4 - k**2. Solve r(j) = 0 for j.
-2, 0
Let c = 68 + -74. Let k(l) = -20*l**2 + 105*l - 10. Let g(r) = 5*r**2 - 26*r + 3. Let v(b) = c*k(b) - 25*g(b). Factor v(u).
-5*(u - 3)*(u - 1)
Let u(t) be the second derivative of -t**5/70 - 4*t**4/21 + 3*t**3/7 + 30*t + 1. What is d in u(d) = 0?
-9, 0, 1
Let o(w) be the second derivative of w**6/10 - w**4 - 269*w. Factor o(i).
3*i**2*(i - 2)*(i + 2)
Suppose 29*g - 33 = 18*g. Let t(o) be the second derivative of -4/11*o**2 + 0*o**g + 1/22*o**4 + 0 - 1/110*o**5 + 4*o. Factor t(a).
-2*(a - 2)**2*(a + 1)/11
Let i be 1 + 4 + 1 - 4. Suppose m = q + 5, 5*m - 2*q = -6*q - i. Factor 0*r + 81*r**3 + 4*r - 77*r**3 - 8*r**m.
4*r*(r - 1)**2
Let j(a) = a**2 + 2*a - 1. Let w(z) be the second derivative of z**5/10 + z**4/3 + 3*z**2 + 8*z. Let k(n) = -6*j(n) - w(n). Suppose k(b) = 0. Calculate b.
-3, -2, 0
Let i = 424 + -419. Let x(u) be the second derivative of 1/3*u**3 + 1/10*u**i + 0*u**2 - 4*u - 1/3*u**4 + 0. Solve x(c) = 0.
0, 1
Let k(r) be the third derivative of r**6/40 - 3*r**5/10 + 5*r**4/8 + 106*r**2 - 2*r. Suppose k(p) = 0. Calculate p.
0, 1, 5
Let u(t) = -2*t - t**3 - 5*t + 1 + 6*t. Let d(w) be the first derivative of 5*w**4/4 + 3*w**2/2 - 3*w - 5. Let b(g) = -2*d(g) - 6*u(g). Factor b(c).
-4*c**3
Let x be (7/(-14))/((-2)/(-60)). Let n(t) = -t - 12. Let s be n(x). Let -s*k**3 + 2*k**2 + 3*k**3 - 5*k**2 + 3*k**3 = 0. What is k?
0, 1
Let h be (-36)/(-1) + -3 + 2. Solve 10*o**2 - 18*o**5 - 2*o**5 - 25*o**4 + h*o**3 + 3*o - 3*o = 0.
-2, -1/4, 0, 1
Let x(s) = 16*s**3 - 21*s**2 - 36*s + 30. Let u(t) = -3*t**3 + 4*t**2 + 7*t - 6. Let h(d) = -22*u(d) - 4*x(d). Factor h(m).
2*(m - 3)*(m - 1)*(m + 2)
Suppose 4*t - 2*c + 12 = 0, -4*t - 6 = -4*c + 2. Let k be (-4)/21*(3 + 26/t). Find o such that 6 + 4*o + k*o**2 = 0.
-3
Let f = -11465/14 - -819. Let m(j) be the first derivative of -2/7*j**3 + 0*j**2 - f*j**4 + 8/7*j + 9. Let m(x) = 0. What is x?
-2, 1
Let v be 0*1/42*7. Suppose 0 = -4*s + 3 + 13. Factor 4/5*c**s + 8/5*c**3 + 0*c**2 + 0*c + v.
4*c**3*(c + 2)/5
Let l = -2/523 - -1052/1569. Let j(s) be the first derivative of 0*s - 2 + 0*s**2 + 8/5*s**5 + s**4 + l*s**6 + 0*s**3. Determine z so that j(z) = 0.
-1, 0
Let d(y) = 3*y**4 + 3*y**3 - 3*y**2 + y. Let s(l) = 7*l**4 + 7*l**3 - 7*l**2 + 2*l. Suppose 27 = 4*w + 11. Let q(h) = w*s(h) - 9*d(h). What is t in q(t) = 0?
-1, 0, 1
Determine v so that 0 + 5/6*v**3 - 25/6*v**4 + 25/6*v**2 - 5/6*v**5 + 0*v = 0.
-5, -1, 0, 1
Let f(z) be the second derivative of -10*z**7/21 - 4*z**6/3 - 5*z**5/4 - 5*z**4/12 + 7*z + 1. Factor f(n).
-5*n**2*(n + 1)*(2*n + 1)**2
Let a(w) = w**2 - w - 1. Let z be a(-2). Suppose -z*r = 25, -r + 22 - 3 = 2*x. Factor 3*i**3 + 10*i**3 - 2 - 3*i - x*i**3.
(i - 2)*(i + 1)**2
Factor 179/2*p - 32041/4 - 1/4*p**2.
-(p - 179)**2/4
Suppose 0 = -2*i + 2*b, -7*b = -2*b - 15. Suppose y - 2*y = i, 15 = 5*p - 5*y. Factor 0 + 0*g**3 + 3/7*g**2 + p*g - 3/7*g**4.
-3*g**2*(g - 1)*(g + 1)/7
Let u(q) be the second derivative of -1/20*q**5 + 0 - 24*q + 1/3*q**4 + q**2 - 5/6*q**3. Solve u(v) = 0 for v.
1, 2
Suppose 0 = 3*c - a - 14, -3*a + 5*a = 5*c - 24. Find u, given that c*u + 5*u**4 - 4*u - 10*u - 5 + 10*u**3 = 0.
-1, 1
Let g(l) be the third derivative of l**8/672 + l**7/140 - l**5/30 + 51*l**2. Factor g(r).
r**2*(r - 1)*(r + 2)**2/2
Let j(h) = -h**4 + h**3 + h**2 - 1. Let l(a) = 7*a**4 + 42*a**3 - 72*a**2 + 12*a + 11. Let r(x) = -22*j(x) - 2*l(x