 b?
-6, -1, 0
Let y(n) = 2*n**2 - 7*n + 11. Let l(c) = -16 + 3*c - 7*c - 11*c + 37 + 4*c**2. Let z be (-3 + 9)/(2 - 3). Let t(s) = z*l(s) + 10*y(s). Factor t(i).
-4*(i - 4)*(i - 1)
Let a be 1/3 - 304/(-152). Factor 0 + 2/3*p + a*p**2 - 4/3*p**3.
-p*(p - 2)*(4*p + 1)/3
Let j(d) be the third derivative of -d**4 - 59*d**3/3 + 15*d**2 - 1. Let k be j(-5). Factor 3*y + 6 - 15/4*y**3 - 9/2*y**k - 3/4*y**4.
-3*(y - 1)*(y + 2)**3/4
Suppose 4*z + 3 = 7. Let x(a) be the first derivative of 0*a**3 + 3/5*a**5 + 0*a + 3/4*a**4 + 0*a**2 + z. Find j such that x(j) = 0.
-1, 0
Let u(l) be the second derivative of -l**5/50 + 7*l**4/30 - 2*l**3/3 + 60*l. Suppose u(r) = 0. What is r?
0, 2, 5
Let d(w) be the first derivative of 3*w**4/32 - 3*w**3/8 - 75*w**2/16 - 63*w/8 + 142. Suppose d(o) = 0. What is o?
-3, -1, 7
Factor 144*c**3 + 92*c**2 - 30*c - 65*c**2 - 141*c**3.
3*c*(c - 1)*(c + 10)
Determine r so that 0 - 32/5*r**3 - 14/5*r**4 - 8/5*r**2 + 0*r = 0.
-2, -2/7, 0
Let g(c) = 7*c**5 - 14*c**4 - 59*c**3 - 58*c**2 + 5. Let n(t) = 8*t**5 - 14*t**4 - 60*t**3 - 58*t**2 + 4*t + 6. Let y(v) = 6*g(v) - 5*n(v). Factor y(q).
2*q*(q - 10)*(q + 1)**3
Let u(c) = 6*c**2 + 8*c + 30. Let d(q) = q**2 + q + 6. Let r(j) = -11*d(j) + 2*u(j). What is f in r(f) = 0?
-6, 1
Let a(j) = -14*j - 14. Let g be a(-6). Let h be ((-15)/g)/(3/(-4)). Let -4/7 + 2/7*k**2 + h*k = 0. Calculate k.
-2, 1
What is q in 0*q - 1/2*q**4 + q**3 - 1/4*q**5 + 0 + 2*q**2 = 0?
-2, 0, 2
Let y(d) be the third derivative of -d**5/30 - d**4/6 + 8*d**3 - 139*d**2. Factor y(p).
-2*(p - 4)*(p + 6)
Determine z so that 4*z**3 - 199*z**4 - 2*z**2 + 174*z**2 + 27*z**4 - 4*z**5 = 0.
-43, -1, 0, 1
Solve 20*p**2 - 800*p - 1/6*p**3 + 32000/3 = 0.
40
Let a(c) = 239*c**3 + 6*c**2 - 242*c + 6. Let j(b) = -477*b**3 - 12*b**2 + 484*b - 16. Let m(r) = -7*a(r) - 3*j(r). Factor m(n).
-2*(n - 1)*(n + 1)*(121*n + 3)
Let a(y) be the first derivative of -y**4/10 + 82*y**3/15 - 95*y**2 + 2166*y/5 + 223. Factor a(x).
-2*(x - 19)**2*(x - 3)/5
Let a = 100 - 96. Let q(j) be the third derivative of 0*j**3 - 1/480*j**6 + 1/120*j**5 + 0*j**4 + a*j**2 + 0 + 0*j. Factor q(l).
-l**2*(l - 2)/4
Let n = 25 - 19. Factor 2420*p**3 + 13 + 496*p - n + 2376*p**2 + 32 - 7 - 5324*p**4.
-4*(p - 1)*(11*p + 2)**3
Let k be (-43)/((-3)/6*(-11)/(-2)). Let m = 971/22 - k. Solve -m*v**3 - 6 - 21/2*v**4 - 3/2*v**5 - 75/2*v**2 - 24*v = 0 for v.
-2, -1
Suppose i - 12 = 5*k, -3*k = -0*i - i + 6. Let y be 12/78*k/(2 + -5). Find j such that -10/13*j**4 - 14/13*j**2 + y*j**5 + 18/13*j**3 + 4/13*j + 0 = 0.
0, 1, 2
Let w(p) be the third derivative of p**6/120 - p**5/8 + 3*p**4/4 + 8*p**3/3 + 18*p**2. Let c(z) be the first derivative of w(z). Factor c(x).
3*(x - 3)*(x - 2)
Suppose 166 = -4*s + 3*s. Let t = s - -166. Factor 2/3*y**4 + t + 4/3*y**3 - 4/3*y - 2/3*y**2.
2*y*(y - 1)*(y + 1)*(y + 2)/3
Factor -2*k**4 + 0 - 5/3*k**3 + 0*k + 0*k**2 - 1/3*k**5.
-k**3*(k + 1)*(k + 5)/3
Let u be (-26)/221 - (-328)/476. Let c be (-24)/(-35) - (-4)/(-10). Suppose 8/7*s**4 + 10/7*s**3 + c*s**5 + 0*s + u*s**2 + 0 = 0. What is s?
-2, -1, 0
Let q(o) = -o**3 - 9*o**2 + 31*o - 20. Let f be q(-12). Suppose 0 = f*p - 34*p - 18. Factor 9/2*u - p - 3/2*u**2.
-3*(u - 2)*(u - 1)/2
Find r, given that 2/7*r**2 + 0*r - 8/7 = 0.
-2, 2
Let b be (-19)/95 + -1*38/(-90). Determine v, given that -8/3*v + 8 + b*v**2 = 0.
6
Let y(n) be the third derivative of 0 + 0*n - 10*n**2 + 8/3*n**3 - 1/15*n**5 + 0*n**4. Factor y(f).
-4*(f - 2)*(f + 2)
Let w(p) = p**3 + 3*p**2 + 3. Let s be w(-3). Suppose d - 5*l = -13, -d - l - s*l = -14. Determine h, given that -4*h**2 + 5*h**2 + 0 - 3 + d*h**2 = 0.
-1, 1
Suppose 0 = 5*r - q - 12 - 13, -4*q = -2*r + 28. Suppose r*k = 8, 3*h = 4*k + 5 - 4. Suppose -15/2*f**h - 12*f**2 - 6*f + 0 - 3/2*f**4 = 0. What is f?
-2, -1, 0
Let o be -4 + 404/(-14) + -6 + 2. Let s = o - -37. Factor 0 - 9/7*g**3 - 2/7*g + 5/7*g**4 - s*g**5 + g**2.
-g*(g - 2)*(g - 1)**3/7
Suppose 0 = 7*w - 6 - 36. Let h(m) be the second derivative of 0 - 2*m - 1/50*m**5 - 1/75*m**w + 0*m**2 - 1/315*m**7 - 1/90*m**4 + 0*m**3. Factor h(o).
-2*o**2*(o + 1)**3/15
Let a be (-1 + 0)/((1899/404)/1). Let s = 2/211 - a. Factor -2/9*o**2 + 0*o - s*o**3 + 0.
-2*o**2*(o + 1)/9
Let a = 60/7 - 9. Let i = a + 13/14. Suppose -1 + 3/2*n - i*n**2 = 0. What is n?
1, 2
Let j(o) be the second derivative of -o**6/150 - 11*o**5/100 - 3*o**4/20 + 11*o**3/30 + o**2 + o + 25. Factor j(n).
-(n - 1)*(n + 1)**2*(n + 10)/5
Factor 21*h**3 + 737*h + 43*h**2 + 212*h**2 + 108 + 55*h.
3*(h + 6)**2*(7*h + 1)
Suppose 4 = -o + 35. Suppose -2*p - o = -5*p - 5*c, -p + 9 = c. Factor 5*k**2 + k + p*k**2 - 9*k**2.
k*(3*k + 1)
Let j(i) be the third derivative of -i**8/168 - i**7/35 + 13*i**6/30 - 3*i**5/5 - 25*i**4/12 + 7*i**3 + 316*i**2. Determine c, given that j(c) = 0.
-7, -1, 1, 3
Suppose 0 = -105*n + n + 167 + 41. Factor 9/7*v - 3/7*v**n - 6/7.
-3*(v - 2)*(v - 1)/7
Let d(w) be the first derivative of w**7/1470 - w**5/105 - 17*w**2/2 - 18. Let c(s) be the second derivative of d(s). Factor c(o).
o**2*(o - 2)*(o + 2)/7
Solve 0 + 3/2*b**5 - 97/2*b**4 + 400*b**3 + 0*b - 128*b**2 = 0.
0, 1/3, 16
Suppose 0 + 56/9*l + 2/9*l**2 = 0. Calculate l.
-28, 0
Let h = -2408/9 + 2468/9. Factor 30 + 5*i - h*i**2 - 5/3*i**3.
-5*(i - 2)*(i + 3)**2/3
Suppose -3*w = -p + 2*w + 12, 0 = -4*p + 4*w + 16. Let z = 3134 + -25063/8. Factor 3/8*t**3 + 0*t + 0 + z*t**p.
3*t**2*(t + 3)/8
Let x(l) be the first derivative of -l**5/15 + 2*l**4/3 - 8*l**3/3 + 3*l**2 + 2. Let n(s) be the second derivative of x(s). Factor n(r).
-4*(r - 2)**2
Let -232*u**2 - 2*u**3 + 222*u**2 + 4 - 4 - 8*u = 0. Calculate u.
-4, -1, 0
Let -1691*u**3 - 10824*u**4 - 6*u**2 + 2 - 2 + 1190*u**3 + 0 - 15129*u**5 = 0. What is u?
-2/3, -1/41, 0
Let i = 712 - 710. Find s, given that 0 - 2/9*s**i + 4/9*s = 0.
0, 2
Let z be (-4)/270*(-8)/16. Let x(d) be the second derivative of 1/6*d**4 - 7/27*d**3 - 1/18*d**5 - 3*d + 2/9*d**2 + z*d**6 + 0. Factor x(p).
2*(p - 2)*(p - 1)**3/9
Let x(d) = -20*d**5 - 2*d**4 + 28*d**3 + 20*d**2 - 34*d + 26. Let y(t) = -t**5 + t**3 + t**2 - t + 1. Let s(f) = -2*x(f) + 36*y(f). Suppose s(k) = 0. What is k?
-2, 1
Let o(v) be the first derivative of 49*v**5/5 - 63*v**4/2 - 29*v**3 + 38*v**2 - 12*v - 42. Factor o(m).
(m - 3)*(m + 1)*(7*m - 2)**2
Suppose -12 = -4*v - 0*v. Factor 0*i - i**v + 0*i**3 - 3*i + 4*i**3.
3*i*(i - 1)*(i + 1)
Let b(r) be the second derivative of r**5/450 - r**4/60 + 7*r**2/2 - 23*r. Let p(v) be the first derivative of b(v). Let p(k) = 0. Calculate k.
0, 3
Let m = -64 + 69. Suppose -j = 2 - m. Factor -2/5*t**2 + 2/5*t**j + 0 - 4/5*t.
2*t*(t - 2)*(t + 1)/5
Let c(q) be the third derivative of -q**8/84 + 4*q**7/105 + q**6/10 - 4*q**5/15 - 2*q**4/3 - 26*q**2 - 5*q. Factor c(k).
-4*k*(k - 2)**2*(k + 1)**2
Let x = 18 + -5. Suppose 5*t - 23 + x = 0. Factor -1/2*a**5 + 0*a**3 + 1/2*a**4 + 0*a**t + 0 + 0*a.
-a**4*(a - 1)/2
Suppose -18*k - 2*k = -480. Let i be 14/k*38/133. Suppose 5/6*p + i + 2/3*p**2 = 0. Calculate p.
-1, -1/4
Find r, given that -2 - 4*r - 19/2*r**4 + 1/2*r**3 + 7/2*r**5 + 23/2*r**2 = 0.
-1, -2/7, 1, 2
Factor -12/7*r**2 - 4/7*r**3 + 0 - 8/7*r.
-4*r*(r + 1)*(r + 2)/7
Let -21*b**2 + 15*b + 14*b + 4*b + 3*b + 12 = 0. What is b?
-2/7, 2
Let s be 4/14 - (1224/(-119) + 10). Solve 0 + 2/7*t**3 - 6/7*t**2 + s*t = 0.
0, 1, 2
Find x such that -6*x**4 + 9/2 + 3/4*x**5 - 39/4*x + 9*x**3 + 3/2*x**2 = 0.
-1, 1, 6
Let y(b) be the second derivative of -2*b**7/21 + 2*b**6/15 + b**5 - 5*b**4/3 - 8*b**3/3 + 8*b**2 + 17*b. What is r in y(r) = 0?
-2, -1, 1, 2
Suppose 6 = 2*v + 3*q, 4*v = -5*q + 9*q + 12. Factor -2/7*u + 4/7*u**v + 0 + 2/7*u**2.
2*u*(u + 1)*(2*u - 1)/7
Let x(a) be the second derivative of a**4/54 + 28*a**3/27 - 29*a**2/9 - 2*a. Factor x(d).
2*(d - 1)*(d + 29)/9
Factor -60 - o**2 + 26*o + 2*o**2 - 3*o**2.
-2*(o - 10)*(o - 3)
Let p be (-4)/10 + (-34)/(-10). Let o(v) = -55*v + 165. Let d be o(3). Factor 0*z**2 - 3/4*z**4 - 1/2*z**p + 0*z + d.
-z**3*(3*z + 2)/4
Let x(n) be the first derivative of -n**5 - 15*n**4/4 + 25*n**3/3 + 15*n**2/2 - 20*n + 2. Determine v so that x(v) = 0.
-4, -1, 1
Let u(w) be the second derivative of 1/12*w**3 + 1/120*w**5 + 0 - 32*w - 1/24*w**4 - 1/12*w**2. Solve u(p) = 0.
1
Suppose -u = 4*u. Let g = 431/625 - 56/625. What is i in 6/5*i - g*i**2