s + 45. Let -3*o**s - 24*o**2 + 0*o**3 + 6*o**3 + 39*o - 18 = 0. What is o?
1, 6
Determine a so that 112*a + 9 + 44*a - 2 + 11 + 338*a**2 = 0.
-3/13
Let o(p) = 5*p**2 - 136*p - 66. Let y(v) = v**2 - 27*v - 13. Let s(r) = 2*o(r) - 11*y(r). Let k(z) = -24*z - 12. Let h(c) = -5*k(c) - 4*s(c). Factor h(w).
4*(w + 1)*(w + 4)
Let x(p) be the second derivative of p**5/130 + p**4/3 + 13*p**3/3 + 33*p + 2. Let x(y) = 0. What is y?
-13, 0
Let c(f) be the first derivative of -f**3 - 183*f**2/2 + 186*f + 612. Factor c(u).
-3*(u - 1)*(u + 62)
Suppose 0 = 145*n - 88*n - 76*n. Let n*i + 0*i**2 - 2/7*i**3 + 0 = 0. Calculate i.
0
Let t = 5957 - 5957. Factor 0 + t*r - 8/7*r**3 - 8/7*r**2 - 2/7*r**4.
-2*r**2*(r + 2)**2/7
Let d = -1171 + 1173. Let i be (-152)/(-40) + (-2)/1. Suppose -12/5*g**4 + 2*g**d - i*g + 2/5 + 4/5*g**3 + g**5 = 0. Calculate g.
-1, 2/5, 1
Let u(v) be the second derivative of v**6/1620 - v**5/270 + 2*v**3 + 17*v. Let t(i) be the second derivative of u(i). Factor t(b).
2*b*(b - 2)/9
Let z = -25 + 26. Determine m, given that 0*m**2 + 0*m**2 - z - 4 + 5*m**2 = 0.
-1, 1
Let x(p) = -p**3 - 4*p**2 + p + 8. Let b be x(-4). Solve 2*u**4 + 44*u**2 - 7*u**b - 5*u + 5*u**3 - 39*u**2 = 0 for u.
-1, 0, 1
Let v(r) be the second derivative of -1/70*r**5 + 0 - 2*r + 0*r**2 - 16/21*r**3 - 4/21*r**4. Factor v(w).
-2*w*(w + 4)**2/7
Let m = 38 - 131. Let b = m - -95. Factor -3/5*a**3 - 12/5*a**b - 3*a - 6/5.
-3*(a + 1)**2*(a + 2)/5
Let k(y) be the first derivative of -y**7/21 + y**6/5 - y**5/5 + 4*y + 19. Let g(t) be the first derivative of k(t). Let g(u) = 0. Calculate u.
0, 1, 2
Factor 1/6*p**3 - p**2 - 7/6*p + 0.
p*(p - 7)*(p + 1)/6
Let o(x) be the third derivative of -x**6/120 - 7*x**5/60 - x**4/4 - 26*x**2. Let s be o(-6). Determine w so that 1/3*w**2 + s - 1/3*w = 0.
0, 1
Let l(z) be the second derivative of 3*z**5/80 + z**4/16 - 95*z + 1. What is c in l(c) = 0?
-1, 0
Let y(g) be the third derivative of 0 + 1/36*g**4 + 0*g**3 + 17*g**2 + 0*g - 1/180*g**5 + 1/630*g**7 - 1/180*g**6. Find i such that y(i) = 0.
-1, 0, 1, 2
Let o = -4/1921 - -38432/5763. Find h such that 0 - o*h**2 - 6*h - 2/3*h**3 = 0.
-9, -1, 0
Let m = 4 - -3. Suppose 23 - m = 4*f. Solve 8*g**f - g**5 + g**5 - 8*g**2 + 3*g**5 + g**5 - 4*g = 0.
-1, 0, 1
Let n(j) be the third derivative of j**8/112 + j**7/7 + 11*j**6/20 - 8*j**5/5 - 95*j**4/8 - 25*j**3 - 6*j**2 - 9. Suppose n(c) = 0. What is c?
-5, -1, 2
Suppose k - 22 = -5*c, 0*k = 4*k + 2*c - 16. Let w(s) be the second derivative of 0 + 1/4*s**4 + 2*s**3 + 6*s**2 + k*s. Factor w(y).
3*(y + 2)**2
Determine n, given that 2*n**2 + 3*n + 1/4*n**3 + 0 = 0.
-6, -2, 0
Let i(y) be the second derivative of y**4/4 - 4*y**3/3 + 8*y**2 - 9*y. Let j(t) = 6*t**2 - 17*t + 31. Let f(g) = -7*i(g) + 4*j(g). Factor f(v).
3*(v - 2)**2
Let c(o) = -3*o**3 + 3*o**2 + 72*o + 122. Let t(v) = 65*v**3 - 70*v**2 - 1585*v - 2685. Let u(s) = -45*c(s) - 2*t(s). Determine p so that u(p) = 0.
-3, -2, 4
Let d = 5 + -2. Suppose 2*n - 5 = 4*n - d*q, -3*q = 4*n - 35. Solve -2*p**5 - 3*p**4 + 0*p**n - p**3 - p**4 - p**3 = 0 for p.
-1, 0
Let a(m) = -m**3 + 13*m**2 + 7*m - 367. Let h be a(10). Determine w so that -w**2 + 0 + 1/2*w**h + 0*w = 0.
0, 2
Let m be 16/2*2*3/(-92). Let b = 369/46 + m. Let -3*d**4 + 6*d - 45/2*d**3 - 6*d**2 + b*d**5 + 0 = 0. What is d?
-1, 0, 2/5, 2
Let c(l) = -68*l**3 + 140*l**2 - 160*l - 336. Let s(m) = -13*m**3 + 28*m**2 - 32*m - 67. Let k(h) = 3*c(h) - 16*s(h). Solve k(g) = 0 for g.
-1, 4
Let g = -61 - -17. Let b be 56/66 - (4 + 168/g). Determine z so that -b - 2/3*z**2 - 4/3*z = 0.
-1
What is w in 40*w**3 + 16/3*w**4 + 55/3*w + 51*w**2 + 2 = 0?
-6, -1, -1/4
Let l(y) = -2*y. Let v(r) = 1. Let x(z) = -l(z) + 12*v(z). Let b be x(-4). Factor -b*s - 1/2*s**2 - 8.
-(s + 4)**2/2
Let u(n) = 3*n**4 - 9*n**3 - 16*n**2 - 6*n - 2. Let c(j) = -8*j**4 + 19*j**3 + 33*j**2 + 11*j + 5. Let y(g) = -2*c(g) - 5*u(g). Determine o so that y(o) = 0.
-4, -2, -1, 0
Let f be 270/(-600) - ((-3)/2 + 1). Let u(t) be the first derivative of 0*t - 2 + 0*t**2 + 0*t**3 + 1/16*t**4 + f*t**5. Factor u(q).
q**3*(q + 1)/4
Let l(v) = -3*v**3 - 12*v**2 - 45*v - 51. Let d(h) = -3*h**2 - 5*h**2 + h**2 - 13 - h**3 + 4*h**2 - 11*h. Let c(k) = 15*d(k) - 4*l(k). Factor c(f).
-3*(f - 3)*(f + 1)**2
Let x(u) = u**2 + u - 1. Let z(j) = j**3 - 8*j**2 + 7*j - 2. Let n(l) = -2*x(l) - z(l). Let p(m) be the first derivative of n(m). Let p(i) = 0. Calculate i.
1, 3
Let p = -13851/20 + 693. Let y(x) be the first derivative of -3/8*x**4 - 3 - p*x**5 + 0*x**3 + 0*x + 0*x**2 + 5/8*x**6. Factor y(v).
3*v**3*(v - 1)*(5*v + 2)/4
Factor -15 - 3/2*j**3 - 51/2*j - 12*j**2.
-3*(j + 1)*(j + 2)*(j + 5)/2
Let m = -2388 + 11943/5. Find y, given that 0 - m*y**3 + 0*y**2 + 0*y = 0.
0
Let q be (-2)/(-10) - (-19)/5. Factor 7*j**2 - 3*j**2 - q + 4*j**3 + 4.
4*j**2*(j + 1)
Let t(g) = -4*g**4 + 48*g**3 + 90*g**2 + 44*g - 6. Let f(z) = -3*z**4 + 48*z**3 + 90*z**2 + 44*z - 5. Let i(k) = -6*f(k) + 5*t(k). Solve i(o) = 0.
-22, -1, 0
Suppose 4*q - 3 = 9. Let s = -15434 - -15434. Let s + 2/9*c + 2/9*c**q - 4/9*c**2 = 0. Calculate c.
0, 1
Let z(s) be the third derivative of 1/50*s**5 + 12/5*s**3 + 0 + 13/20*s**4 + 0*s + 12*s**2. Find j such that z(j) = 0.
-12, -1
Let a(v) = -12*v**2 + 5*v + 18. Let p(d) = 7*d**2 - 3*d - 9. Let s(r) = -3*a(r) - 5*p(r). Factor s(u).
(u - 3)*(u + 3)
Let b(n) = 2*n - 64. Let i be b(33). Suppose 35 = 5*v - 4*o, -3*v = -v + 4*o - 14. Factor -17*r**i - 19 + 23 + v*r**3 + 11*r**3 - 5*r**4.
-(r - 2)*(r - 1)**2*(5*r + 2)
Let 1/6*c**2 - c**3 + 5*c - 1/6*c**4 + 0 = 0. Calculate c.
-5, -3, 0, 2
Let q = -69 - -51. Let l be q/(-30) + (-24)/(-35). Solve l - 3/7*y**2 - 6/7*y = 0 for y.
-3, 1
Let r = 27 + -18. Factor -3*b**5 + 3*b**2 - 63 + r*b**4 + 63 - 9*b**3.
-3*b**2*(b - 1)**3
Let v(c) be the third derivative of 0*c**4 + 1/30*c**6 + 0*c**3 - 1/84*c**8 + 0*c - 4/105*c**7 + 2/15*c**5 + 0 - 11*c**2. What is g in v(g) = 0?
-2, -1, 0, 1
Let l(t) be the second derivative of t**6/120 - t**5/20 + t**4/12 + 250*t. Find r such that l(r) = 0.
0, 2
Suppose -2552*v + 2502*v = 0. Factor -1/4*w**4 + v*w**3 + 0 + 0*w**2 - 1/4*w**5 + 0*w.
-w**4*(w + 1)/4
Let v be (24/72)/(((-15)/2)/(-5)). Let 4/9*r - 2/9*r**2 - v = 0. What is r?
1
Let o(z) be the third derivative of 0 + 0*z**4 + 0*z**3 + z**2 + 2/455*z**7 + 1/780*z**6 + 0*z + 3/728*z**8 + 0*z**5. Solve o(n) = 0 for n.
-1/3, 0
Let l(p) be the third derivative of -2*p**7/105 - 4*p**6/3 - 80*p**5/3 - 99*p**2 - 1. Solve l(k) = 0 for k.
-20, 0
Let s(d) = 5*d**2 - 97*d + 167. Let p(z) = -2*z**2 + 48*z - 85. Let w(x) = -7*p(x) - 3*s(x). Factor w(t).
-(t - 2)*(t + 47)
Let p(w) be the second derivative of w**7/126 - w**6/18 - w**5/10 + 4*w + 79. Let p(d) = 0. Calculate d.
-1, 0, 6
Let n be 5/(-70)*48/(-3). Let i = n + -25/28. Determine d so that 3/2*d - 6*d**3 + 1/4*d**2 + 4*d**4 + i = 0.
-1/4, 1
Suppose -3*n - 8 = 16. Let v = n - -11. Factor -g + 5*g**2 + 10*g**2 - 3*g**4 - 3*g**5 + 9*g**v + 5*g + 2*g.
-3*g*(g - 2)*(g + 1)**3
Let b(n) be the first derivative of 5*n**4/4 - 5*n**3/3 - 25*n**2 - 40*n - 18. What is i in b(i) = 0?
-2, -1, 4
Let t(j) = -3*j**3 - 20*j**2 - 14*j - 9. Let d be t(-6). Suppose 8*k - 13 = d. Factor 4/19*z + 2/19*z**k + 0.
2*z*(z + 2)/19
Solve 12/7*r**4 + 2/7*r**5 + 96/7*r**2 - 40/7*r - 10*r**3 + 0 = 0 for r.
-10, 0, 1, 2
Let 16/11*d**2 + 2/11*d**5 - 12/11 - 12/11*d**3 + 10/11*d - 4/11*d**4 = 0. What is d?
-2, -1, 1, 3
Let r(o) be the third derivative of o**7/1680 + o**6/240 + o**5/80 + o**4 + 34*o**2. Let g(j) be the second derivative of r(j). Factor g(q).
3*(q + 1)**2/2
Let y(u) be the third derivative of 12*u**2 + 0*u - 5/12*u**4 - 1/12*u**5 + 5/2*u**3 + 2. Factor y(l).
-5*(l - 1)*(l + 3)
Let a = -1742 + 1762. Find n such that -67/3*n**3 - 19/3*n**2 + 0 - 2/3*n - 104/3*n**4 - a*n**5 = 0.
-1/2, -2/5, -1/3, 0
Let h(c) = 10*c**2 - 5*c - 1. Let s be h(3). Factor -151*d**2 - 16*d**3 + 16*d + 69*d**2 + s*d**2 - 4*d**4 + 12.
-4*(d - 1)*(d + 1)**2*(d + 3)
Let g(a) = -4*a**2 - 3. Let d(c) = -21*c**2 + 135*c - 262. Let z(v) = -d(v) + 4*g(v). Solve z(j) = 0 for j.
2, 25
Let f(w) be the third derivative of 24*w**3 + 0 + 13/15*w**5 - 1/30*w**6 + 0*w - 8*w**4 + 10*w**2. Suppose f(m) = 0. Calculate m.
1, 6
Determine f, given that 0 - 56/3*f**3 + 4*f**2 + 7/3*f**4 + 3*f**5 + 0