d s, given that -4*s**3 - 4*s - 4*s + f*s**5 + 10*s - 10*s**5 = 0.
-1, 0, 1
Suppose -13 - 108*q**2 - 7 + 47*q**2 - 20*q + 56*q**2 = 0. What is q?
-2
Let r(b) = 0*b - 25 - 7*b + 7*b + b**2 - 3*b. Let c be r(7). Factor 7/2*q + 5/2*q**c - 9/2*q**2 - 1/2*q**4 - 1.
-(q - 2)*(q - 1)**3/2
Let p be (-2 - -8)/((-6)/(-3)). Let r(c) = -4*c**3 - 21*c**2 - 16*c + 5. Let v(j) = 2*j**3 + 11*j**2 + 8*j - 3. Let w(f) = p*r(f) + 5*v(f). Factor w(d).
-2*d*(d + 2)**2
Suppose 0 = 5*p + 2*v - 2, v + 3 = -5*p + 9. Let q = 5954 + -29769/5. Determine f so that 8/5*f + 16/5 + q*f**p = 0.
-4
Factor -7*q**4 + 0*q**4 + q**4 - 30*q**3 - 12*q**2 - 3*q**4 + 6*q**3.
-3*q**2*(q + 2)*(3*q + 2)
Let x(h) be the third derivative of 3*h**8/448 - h**7/7 + h**6/2 - 3*h**5/8 - 35*h**4/32 + 11*h**3/4 + 150*h**2 - 1. Suppose x(f) = 0. What is f?
-2/3, 1, 11
Let k = 302 - 300. Let o(x) be the first derivative of -1/6*x**2 + k - 1/4*x**4 + 0*x - 1/3*x**3 - 1/15*x**5. Suppose o(g) = 0. Calculate g.
-1, 0
Let c(q) = -q**4 - q**3 + q**2 + q - 1. Let t(m) = -m**5 - 3*m**4 - 3*m**3 + m**2 + 4*m + 3. Let y(u) = -c(u) - t(u). Factor y(z).
(z - 1)*(z + 1)**3*(z + 2)
Let z(m) be the second derivative of 3*m**5/20 + 31*m**4/12 - 23*m**3/6 - 11*m**2/2 - 2*m - 43. Factor z(p).
(p - 1)*(p + 11)*(3*p + 1)
Let f(k) be the second derivative of -5*k**8/336 + k**6/8 - k**5/6 + 9*k**2/2 - 18*k. Let u(x) be the first derivative of f(x). Solve u(m) = 0 for m.
-2, 0, 1
Factor 0*u**2 - 5/3*u**4 + 0*u - 1/3*u**5 + 0 - 2*u**3.
-u**3*(u + 2)*(u + 3)/3
Suppose -20/3*g**2 + 5/3*g**4 - 5/3*g**3 + 20/3*g + 0 = 0. Calculate g.
-2, 0, 1, 2
Let f(z) be the second derivative of -z**4/6 + 22*z**3 - 1089*z**2 - z - 3. What is x in f(x) = 0?
33
Find u, given that -2/3*u**2 - 280/3*u - 9800/3 = 0.
-70
Let h(l) be the first derivative of -l**6/1440 - l**5/60 - l**4/6 - 11*l**3/3 - 4. Let b(i) be the third derivative of h(i). Factor b(t).
-(t + 4)**2/4
Let f(a) be the first derivative of 0*a**2 - 1/10*a**5 + 0*a + 1/6*a**3 + 1/8*a**4 - 1 - 1/12*a**6. Factor f(c).
-c**2*(c - 1)*(c + 1)**2/2
Let v = -49 + 53. Suppose -2 = v*f - 5*f. Let n + 2/3 + 2/3*n**4 + n**5 - 4/3*n**f - 2*n**3 = 0. Calculate n.
-1, -2/3, 1
Suppose -249 - 432 = -227*n. What is s in n*s**2 + 0 - 9/4*s - 3/4*s**3 = 0?
0, 1, 3
Let w(g) = -2*g**5 - 17*g**4 + 14*g**3 + 5*g + 5. Let t(j) = 9*j**5 + 84*j**4 - 69*j**3 - 24*j - 24. Let d(u) = -5*t(u) - 24*w(u). Factor d(s).
3*s**3*(s - 3)*(s - 1)
Let 8/3*p**2 - 2 + 22/3*p = 0. Calculate p.
-3, 1/4
Suppose 5*a = 4*a - 4. Let x(n) = -2*n**4 + 8*n**3 - 14*n**2 - 4. Let k(y) = y**2 + y + 1. Let c(d) = a*k(d) - x(d). Determine s, given that c(s) = 0.
0, 1, 2
Let g be ((-54)/69)/9 - (-403)/1196. Let 0 + g*s - 1/4*s**2 = 0. What is s?
0, 1
Let u(t) be the first derivative of -t**8/2520 + t**6/300 - t**5/225 + 6*t**2 + 6. Let r(m) be the second derivative of u(m). Solve r(z) = 0 for z.
-2, 0, 1
Factor -14/15*z - 82/15*z**2 + 0 - 38/5*z**3 + 6/5*z**4.
2*z*(z - 7)*(3*z + 1)**2/15
Suppose -5*h = -2*h - 3. Let r = h + 1. Solve -122 + 122 + 4*b + 2*b**3 - 6*b**r = 0 for b.
0, 1, 2
Let d(w) be the first derivative of -2*w**3/3 + 11*w**2 + 24*w + 51. What is y in d(y) = 0?
-1, 12
Suppose -23*s + 830 - 784 = 0. Let v = 31 - 91/3. Let -1/3*m**s + v + 1/3*m = 0. Calculate m.
-1, 2
Let t(f) = -2*f**3 - 2*f**2 + f - 1. Let r(y) = -5*y**4 - 345*y**3 - 340*y**2 - 25*y + 25. Let s(x) = r(x) + 25*t(x). Factor s(m).
-5*m**2*(m + 1)*(m + 78)
Suppose 30*g = 33*g. Let v(r) be the first derivative of -4/33*r**3 + g*r - 3/22*r**4 - 1 + 1/11*r**2. Factor v(u).
-2*u*(u + 1)*(3*u - 1)/11
Determine p, given that -11*p - 22*p**2 + 47*p - 24*p**2 - 20*p**2 + 105 + 69*p**2 = 0.
-7, -5
Find j such that 57/2 - 27*j - 3/2*j**2 = 0.
-19, 1
Let g(x) be the first derivative of x**6/3 - 7*x**4/8 - x**3/6 + 3*x**2/4 + x/2 - 32. What is n in g(n) = 0?
-1, -1/2, 1
Let w(d) be the second derivative of d**6/105 - 16*d**4/21 + 256*d**2/7 - 5*d - 2. Factor w(b).
2*(b - 4)**2*(b + 4)**2/7
Suppose 2*y - 7*y = -15. Factor 0*j + j**2 - 6*j + j + y*j.
j*(j - 2)
Let u(z) be the first derivative of -2*z**5/25 + 3*z**4/10 + 4*z**3/5 - 8*z**2/5 + 78. Determine x, given that u(x) = 0.
-2, 0, 1, 4
Let v(b) be the second derivative of b**4/126 - 4*b**3/21 - 19*b + 1. Let v(x) = 0. What is x?
0, 12
Let c(l) = l**3 - 8*l**2 + 7*l + 5. Let f be c(7). Suppose 6 + 34 = f*d. Factor 26*g**3 - 20*g - 6*g**3 - 36*g**2 - 12*g**4 + d + 40*g**4.
4*(g - 1)*(g + 1)**2*(7*g - 2)
Determine y, given that 14 - 7*y + 104*y**4 - 86*y**4 + 224*y**2 - 156*y**3 - 93*y = 0.
1/3, 1, 7
Let a(b) be the first derivative of b**8/112 + b**7/35 - b**6/40 - b**5/10 + 9*b**2/2 - 20. Let g(o) be the second derivative of a(o). What is m in g(m) = 0?
-2, -1, 0, 1
Let r(p) be the first derivative of -5*p**3/3 + 10*p**2 - 20*p + 182. Factor r(y).
-5*(y - 2)**2
Let o = -14 - -19. Let b be (1 + 2 - 3)/(-1). Factor -6*i**2 + 6*i**4 + b*i**5 + 6*i**3 + 3*i**o - 9*i**3.
3*i**2*(i - 1)*(i + 1)*(i + 2)
Let j be 45/20*(-11 - (-3339)/297). Factor 6/11*i**3 + 0 + 0*i - j*i**4 + 0*i**2.
-6*i**3*(i - 1)/11
Let c(f) = -2*f + 2. Let w(m) = 25*m**3 - 10*m**2 - 340*m + 100. Let u(p) = -30*c(p) - w(p). Factor u(z).
-5*(z - 4)*(z + 4)*(5*z - 2)
Let f(s) = 4*s**2 - 15*s + 12. Let a be f(3). Let l(c) be the first derivative of 0*c + 2*c**2 + 5 + 4/5*c**5 - 4/3*c**a - c**4. Let l(w) = 0. What is w?
-1, 0, 1
Let y(v) be the first derivative of -v**6/57 - 8*v**5/95 + v**4/38 + 8*v**3/57 - 215. Find d such that y(d) = 0.
-4, -1, 0, 1
Let x(y) = -y**2 - 11*y + 9. Let l be x(-10). What is j in -6 + 18*j**2 + 10*j**2 + 8*j**2 - l*j**3 - 9*j - 2*j**3 = 0?
-2/7, 1
Let t = 28 - 30. Let j be 3/t - 46/(-20). Factor -j + 18/5*h + 4/5*h**2 - 18/5*h**3.
-2*(h - 1)*(h + 1)*(9*h - 2)/5
Let p(i) = -i**3 + 84*i**2 + 584*i + 8. Let o(w) = 2*w**3 - 84*w**2 - 583*w - 10. Let d(z) = 4*o(z) + 5*p(z). Factor d(t).
3*t*(t + 14)**2
Let h = 2 + 0. Let o = -279 - -281. What is g in 0*g + g**h - 3*g**o + g + 3*g**2 = 0?
-1, 0
Let h(b) be the third derivative of -b**6/840 - b**5/105 + 19*b**2 - b. Determine p so that h(p) = 0.
-4, 0
Let m be 26/(-112) + 78/208. Factor 0 + m*q**3 + 1/7*q**2 + 0*q.
q**2*(q + 1)/7
Solve 0 + 0*i + 4/7*i**3 - 24/7*i**2 = 0.
0, 6
Let 30*j + 135 + 17*j**2 - 29*j**2 + 7*j**2 = 0. Calculate j.
-3, 9
Let i(n) be the second derivative of 0 - 2/3*n**3 - 4*n**2 + 1/3*n**4 + 17*n. Suppose i(m) = 0. Calculate m.
-1, 2
Let g(v) be the third derivative of v**5/12 - 35*v**4/3 + 1960*v**3/3 + 7*v**2 + 10. Determine j so that g(j) = 0.
28
Let n(s) = -3*s - 25. Let w(l) = l + 13. Let a(f) = 3*n(f) + 5*w(f). Let y be a(-3). Factor -3/5*i**y + 3/5*i**3 - 12/5*i + 12/5.
3*(i - 2)*(i - 1)*(i + 2)/5
Determine h, given that h**3 + 78*h**2 - 54*h**2 + 7805*h - 1244*h - 90*h**2 - 96*h**2 = 0.
0, 81
Let t(w) be the first derivative of w**7/840 + w**6/120 - w**5/120 - w**4/8 + 7*w**3/3 + 1. Let j(x) be the third derivative of t(x). Let j(r) = 0. Calculate r.
-3, -1, 1
Let u(v) be the second derivative of v**6/15 - v**5/2 + 3*v**4/2 - 7*v**3/3 + 2*v**2 - 22*v - 12. Solve u(o) = 0 for o.
1, 2
Let c be (-16)/(-104) + (3152/(-208) - -15). Factor 0 - 2/3*u**3 + 0*u**4 + 0*u + 2/3*u**5 + c*u**2.
2*u**3*(u - 1)*(u + 1)/3
Let o(t) be the third derivative of t**7/1260 - t**6/120 + t**5/40 - t**4/36 + 80*t**2. Factor o(q).
q*(q - 4)*(q - 1)**2/6
Let m(r) = -3*r**2 - 10*r - 3. Let s be m(-3). Let x = 77 + -75. Factor -3/7*o**x + 12/7 + s*o.
-3*(o - 2)*(o + 2)/7
Factor -60*z**2 - 18 + 54*z + 92/3*z**3 - 22/3*z**4 + 2/3*z**5.
2*(z - 3)**3*(z - 1)**2/3
Suppose 4*h = 4 + 12. Suppose 3*k + 3*f - 19 = f, 3*k = -h*f + 17. What is u in 1 + k + 6*u**3 + 3*u - 22*u**2 + 13*u = 0?
-1/3, 2
Let g(v) be the first derivative of 2*v**3/39 - 11*v**2/13 + 36*v/13 + 86. Factor g(t).
2*(t - 9)*(t - 2)/13
Let f(l) be the second derivative of 1/4*l**4 + 0 + 9/20*l**5 - 37*l + 1/10*l**6 - 3*l**2 - 3/2*l**3. Factor f(i).
3*(i - 1)*(i + 1)**2*(i + 2)
Let v(t) = -7*t**2 - 6*t**4 - 2*t**4 - 7 + 0. Let u(q) = q**4 + q**2 + 1. Let o be -2*1*28/4. Let l(r) = o*u(r) - 2*v(r). Suppose l(b) = 0. What is b?
0
Let o(k) be the third derivative of k**8/5040 - k**7/180 + k**6/30 + 9*k**5/20 - 18*k**2. Let x(m) be the third derivative of o(m). Factor x(n).
4*(n - 6)*(n - 1)
Suppose 5*w - 20 = u, 11 = 5*u - 1