l**2 - 57*l - 16. Let r(m) = -48*m**2 - 114*m - 33. Let p(v) = 13*h(v) - 6*r(v). Suppose p(d) = 0. What is d?
-5, -2/11
Let f be ((-3)/2)/((-10)/(-100)). Let l be (-2)/(-10) - (-3)/f. What is p in -21/5*p**3 + 5*p**5 - 4/5*p + l - 4*p**2 + 4*p**4 = 0?
-1, -2/5, 0, 1
Let x(r) be the first derivative of r**4/2 + 2*r**3/3 - 2*r**2 - 31. Find h such that x(h) = 0.
-2, 0, 1
Let g(d) be the third derivative of d**8/84 - 2*d**7/21 + 3*d**6/10 - 7*d**5/15 + d**4/3 + 2*d**2. Determine w so that g(w) = 0.
0, 1, 2
Let r(o) = o + 1. Let h(z) = -21*z**2 - 25*z - 4. Suppose 8 = -3*x + 5. Let v(l) = x*h(l) + 2*r(l). What is a in v(a) = 0?
-1, -2/7
Let t be (5 + 7/(-14) - 1) + 1. Find o such that 13/4*o + t*o**3 + 7/4*o**4 + 11/2*o**2 + 3/4 + 1/4*o**5 = 0.
-3, -1
Let k(r) be the third derivative of r**5/15 - r**4 + 6*r**3 + 2*r**2 - 17*r. Factor k(b).
4*(b - 3)**2
Let w(o) = -o**3 + o**2 + o - 1. Let i(h) = 16*h**3 - 29*h**2 - 3*h + 6. Let x(k) = -i(k) - 4*w(k). Factor x(s).
-(s - 2)*(3*s - 1)*(4*s + 1)
Let a = 4 + 3. Let x = a + -5. Factor 0*p**3 + 4/3*p**4 + 2/3*p**5 - 2/3*p - 4/3*p**x + 0.
2*p*(p - 1)*(p + 1)**3/3
Let u = 12 - 9. Let f(j) be the third derivative of 0 + 1/180*j**5 + 0*j - 1/360*j**6 - 1/18*j**u + 2*j**2 + 1/72*j**4. Factor f(w).
-(w - 1)**2*(w + 1)/3
Let l(x) = -2*x**3 - x**2 - x. Let v be l(-1). Suppose 5 = -5*u + 3*g + 2*g, -v*u + 5 = 5*g. Determine b so that u + 2/7*b**2 - 4/7*b = 0.
0, 2
Let u(z) be the second derivative of z**4/24 - z**3/6 - 3*z**2/4 + z. Factor u(o).
(o - 3)*(o + 1)/2
Let p(t) be the second derivative of -t**10/120960 + t**9/20160 - t**8/8960 + t**7/10080 + t**4/4 - 2*t. Let s(r) be the third derivative of p(r). Factor s(c).
-c**2*(c - 1)**3/4
Find j such that 6*j**2 - j - 3*j**4 - 27 + 0 - 12*j**3 + 37*j = 0.
-3, 1
Let v(i) be the third derivative of i**6/360 - i**5/30 + i**4/6 + 2*i**3/3 + 3*i**2. Let y(f) be the first derivative of v(f). Let y(x) = 0. Calculate x.
2
Determine j so that 1 - 3/4*j**2 - 1/4*j**3 + 0*j = 0.
-2, 1
Let a(d) be the third derivative of d**5/12 - 5*d**4/24 - 5*d**3/3 + 15*d**2. Solve a(r) = 0.
-1, 2
Let z(w) be the second derivative of 3*w**5/40 - 7*w**4/8 + 2*w**3 + 12*w**2 + 15*w. Factor z(u).
3*(u - 4)**2*(u + 1)/2
Let i be ((-66)/77)/(19/14 + -2). Let d(g) be the first derivative of 0*g - 1/2*g**4 - i*g**3 - g**2 + 2. Let d(f) = 0. Calculate f.
-1, 0
Let m(h) be the second derivative of -h**7/1260 + h**6/360 + 5*h**4/12 - 3*h. Let z(s) be the third derivative of m(s). Factor z(k).
-2*k*(k - 1)
Suppose -5*w = -p - 25, -w - p = -2*p - 9. Let a be 12/(-8)*8/(-6). What is y in 0*y**3 + 0 + 0*y - 1/3*y**w + 0*y**a = 0?
0
Let d(p) = -p**2 - p + 1. Let z(r) = -8*r**2 - r + 0 + 3 - r + 1 + r**3. Let w(f) = 10*d(f) - 2*z(f). Factor w(i).
-2*(i - 1)**3
Suppose 4 - 16 = 4*h, -4*d + 22 = -2*h. Factor 1/2*k**2 + 1/2*k**d + 0*k + k**3 + 0.
k**2*(k + 1)**2/2
Let b(s) be the third derivative of -s**7/70 + s**6/120 + 3*s**5/20 + s**4/8 - s**3/3 - 9*s**2. Solve b(n) = 0 for n.
-1, 1/3, 2
Let k(b) be the first derivative of -2*b**5/5 + b**4 + 2*b**3/3 - 2*b**2 - 7. Find x, given that k(x) = 0.
-1, 0, 1, 2
Suppose -2*u + 4 + 26 = 0. Let y be (-5)/(-15) + 1/u. Factor 0*i + 2/5*i**2 - y.
2*(i - 1)*(i + 1)/5
Suppose -f = -6 + 2. Factor -3*z**2 - z**4 + 3*z**3 + z - 2*z**f - z**4 + 3*z**4.
-z*(z - 1)**3
Let u(z) = -z**4 + 13*z**3 - 7*z**2 - 7*z. Let p = -15 + 8. Let c(m) = m**4 - 7*m**3 + 4*m**2 + 4*m. Let j(s) = p*c(s) - 4*u(s). Factor j(g).
-3*g**3*(g + 1)
Let c(j) be the first derivative of -j**7/42 - j**6/30 + j**5/10 + j**4/6 - j**3/6 - j**2/2 - 6*j - 1. Let d(v) be the first derivative of c(v). Factor d(t).
-(t - 1)**2*(t + 1)**3
What is n in 21/5*n**4 - 21/5*n**2 + 0 + 9/5*n**5 - 6/5*n - 3/5*n**3 = 0?
-2, -1, -1/3, 0, 1
Let f(w) be the third derivative of -w**8/50400 + w**7/6300 - w**6/1800 - w**5/20 - w**2. Let n(c) be the third derivative of f(c). Factor n(k).
-2*(k - 1)**2/5
Let v(k) = 2*k**4 - 9*k**3 + 8*k**2 - 15*k - 4. Let z(y) = 2*y**4 - 9*y**3 + 9*y**2 - 14*y - 3. Let l(x) = 5*v(x) - 6*z(x). Suppose l(t) = 0. What is t?
1/2, 1, 2
Let b(n) be the second derivative of n**6/30 + n**5/40 - 5*n**4/24 + n**3/6 + 9*n. Solve b(f) = 0.
-2, 0, 1/2, 1
Let u(t) = -t**2 - t - 1. Let j(y) = -4*y**2 - 4. Let m(b) = -j(b) + 8*u(b). Factor m(l).
-4*(l + 1)**2
Let u = -24 + 24. Let c(z) be the second derivative of -z - 1/36*z**4 + 0 - 1/18*z**3 + u*z**2. Determine f so that c(f) = 0.
-1, 0
Determine o so that 5*o**3 + 26*o**2 - 68*o**2 - 54*o**3 - 9*o = 0.
-3/7, 0
Let l(k) be the second derivative of -25*k**4/48 - 5*k**3/12 - k**2/8 + 47*k. Suppose l(s) = 0. Calculate s.
-1/5
Let h be 2/(-27) - 1/(-3). Let k = h - -2/27. Solve -1/3*d + 2/3*d**2 - 1/3*d**5 - k - 1/3*d**4 + 2/3*d**3 = 0.
-1, 1
Let -14/3*d**2 + 2/3*d**3 - 6 + 10*d = 0. What is d?
1, 3
Let k be ((-1)/(-2))/(5/(-10)). Let p(t) = t**2. Let o(q) = -3*q**3 - 21*q**2 - 81*q - 81. Let l(d) = k*o(d) + 6*p(d). Solve l(w) = 0 for w.
-3
Let g(d) = -d**2 + d. Let q(o) = 10*o**2 - 15*o - 15. Let l(n) = 5*g(n) + q(n). Factor l(w).
5*(w - 3)*(w + 1)
Suppose -2*l + 3 = -3. Let f(u) be the third derivative of 0*u**4 + 0*u + 0 - 2*u**2 - 1/105*u**7 - 1/168*u**8 + 0*u**6 + 0*u**l + 0*u**5. Factor f(r).
-2*r**4*(r + 1)
Factor -63*x**3 + x**2 + 71*x**3 - 16*x + 6*x**2 - 20*x**4 + 9*x**2 + 8*x**5 + 4.
4*(x - 1)**3*(x + 1)*(2*x - 1)
Factor 6 + 3/2*b**2 - 3/2*b**5 - 12*b + 15/2*b**3 - 3/2*b**4.
-3*(b - 1)**3*(b + 2)**2/2
Let g(h) be the second derivative of h**5/40 + h**4/24 - h**3/6 + 10*h. Factor g(o).
o*(o - 1)*(o + 2)/2
Let i be (8/6)/((-40)/(-84)). Find u, given that 4/5 - 24/5*u**2 + 6/5*u + i*u**3 = 0.
-2/7, 1
Let h(v) be the first derivative of 25*v**6/24 - v**5 + v**4/4 + 11. Factor h(q).
q**3*(5*q - 2)**2/4
Let j(x) = x - 10. Suppose 2*m = -2*r + 28, -2*r + 56 - 20 = 4*m. Let a be j(r). Determine y so that -3/5*y**3 + a - 6/5*y - 9/5*y**2 = 0.
-2, -1, 0
Let g(y) be the first derivative of -1 + 0*y**4 + 0*y**2 + y - 1/90*y**6 + 2/9*y**3 - 1/20*y**5. Let w(p) be the first derivative of g(p). Solve w(f) = 0 for f.
-2, 0, 1
Let u(t) be the third derivative of t**8/336 + 2*t**7/105 + t**6/30 - t**5/30 - 5*t**4/24 - t**3/3 + 41*t**2 - 2. Factor u(a).
(a - 1)*(a + 1)**3*(a + 2)
Factor 3/5*h + 1/5*h**5 - 2/5*h**2 + 0*h**4 - 4/5*h**3 + 2/5.
(h - 2)*(h - 1)*(h + 1)**3/5
Let r = 59 + -23. Let m be (-1)/7*(-42)/r. Factor 0 + 1/6*q + m*q**2.
q*(q + 1)/6
Let o(q) be the second derivative of 0*q**3 + q + 0 + 0*q**2 - 1/30*q**6 + 0*q**5 + 0*q**4. Factor o(x).
-x**4
Let a(x) be the first derivative of 2*x**4 + 2*x**3/3 - 4*x**2 - 2*x + 40. Factor a(y).
2*(y - 1)*(y + 1)*(4*y + 1)
Let k(s) be the first derivative of s**8/2184 + 2*s**7/1365 + s**6/780 + s**2/2 + 6. Let l(x) be the second derivative of k(x). Factor l(f).
2*f**3*(f + 1)**2/13
Let i = 46 - 46. Factor -4/3*h**2 + 2/3 + 2/3*h**4 + i*h**3 + 0*h.
2*(h - 1)**2*(h + 1)**2/3
Let y(f) = 15*f**2 - 3*f - 12. Let d(t) be the second derivative of -2*t**4/3 + t**3/3 + 3*t**2 + t. Let q(m) = -9*d(m) - 5*y(m). Factor q(r).
-3*(r - 1)*(r + 2)
Let x be ((-5)/(-2))/(150/120). What is p in 1/2*p**3 - 1/2 + 1/2*p**x - 1/2*p = 0?
-1, 1
What is w in 0 + 15/4*w**3 - 35/4*w**2 + 5/2*w = 0?
0, 1/3, 2
Factor -2/5*u**5 + 0 + 0*u**2 + 0*u + 0*u**4 + 2/5*u**3.
-2*u**3*(u - 1)*(u + 1)/5
Let a(w) be the first derivative of -3*w - 1/6*w**2 - 4 + 1/9*w**3 - 1/36*w**4. Let c(k) be the first derivative of a(k). Find z such that c(z) = 0.
1
Let y(s) be the first derivative of 4 + 0*s + 0*s**2 + 0*s**3 + 1/15*s**6 - 4/25*s**5 + 1/10*s**4. Factor y(u).
2*u**3*(u - 1)**2/5
Let k(i) be the first derivative of 5*i**3/3 + 20*i**2 + 80*i + 10. Find m, given that k(m) = 0.
-4
Factor 1/6*o**4 + 0 - 1/6*o**5 + 0*o - 1/6*o**2 + 1/6*o**3.
-o**2*(o - 1)**2*(o + 1)/6
Let g = -143/6 + 24. Let o(c) be the first derivative of 0*c + g*c**3 + 0*c**2 + 2. Let o(d) = 0. What is d?
0
Find f such that 0 + 0*f + 2/3*f**5 + 4/3*f**2 + 10/3*f**3 + 8/3*f**4 = 0.
-2, -1, 0
Let b = 77/148 - 10/37. Determine v, given that -1/2*v**3 + 0*v + 0 + 1/4*v**2 + b*v**4 = 0.
0, 1
Let l be (0 - 0)*-2*(-3)/(-6). Factor -6/5*w + 3/5*w**2 + l.
3*w*(w - 2)/5
Let a(x) be the first derivative of x**8/4200 - x**7/1050 + x**5/150 - x**4/60 - x**3 - 3. Let u(w) be the third derivative of a(w). Fa