 - 24*j + 6*j**2. What is i in b(i) = 0?
4
Let a(f) be the third derivative of -1/24*f**6 + 5/24*f**4 + 0 + 4*f**2 + 0*f**3 + 0*f + 0*f**5. Let a(u) = 0. What is u?
-1, 0, 1
Let y(i) be the first derivative of -3*i + 0*i**2 + 1/4*i**3 + 12. Determine t, given that y(t) = 0.
-2, 2
Let i(p) = p + 7. Let t(c) = 2*c + 1. Let j be t(-3). Let z be i(j). Factor 6*r**2 - r**2 - z*r**2 - 4*r**2.
-r**2
Let c(b) = -b**4 + b**3 - b**2 - 1. Let a(w) = -15*w**4 + 5*w**3 - 35*w**2 + 55*w - 50. Let r(q) = -a(q) + 20*c(q). Determine h, given that r(h) = 0.
-2, 1, 3
Let u(b) = -11*b**2 - 415*b + 7861. Let m(i) = 4*i**2 + 138*i - 2622. Let y(g) = -17*m(g) - 6*u(g). Find j such that y(j) = 0.
36
Let w(h) = h**4 - 3*h**3 - 8*h**2 - 8*h. Let j(u) = 5*u**4 - 16*u**3 - 39*u**2 - 40*u. Let o(y) = -2*j(y) + 11*w(y). Factor o(z).
z*(z - 4)*(z + 1)*(z + 2)
Let h be -3*(188/48 - 4). Let 1/8*n + h - 3/8*n**2 = 0. What is n?
-2/3, 1
Suppose 6*y - 8 = 2*y. Suppose 0 = -y*s + 6*s - 4*t - 200, t = -5. Factor s*a**4 - 45*a**2 + 10*a**3 - 27*a**5 + 3*a**3 + 2*a**3 + 12.
-3*(a - 1)**3*(3*a + 2)**2
What is f in 24*f**2 - 35*f**2 - 104*f + 3 - 37*f**2 + 3*f**4 + 7*f**4 + 34*f**3 - 35 = 0?
-4, -1, -2/5, 2
Let k be (-12)/180 + 4*(-148)/(-1680). Determine w so that -4/7*w**4 - k*w + 10/7*w**3 + 2/7 - 6/7*w**2 = 0.
-1/2, 1
Factor -3/2*n**4 + 69*n**3 + 0 + 0*n**2 + 0*n.
-3*n**3*(n - 46)/2
Let p be (2 - -2) + ((-4754)/432 - -7). Let q = 437/1080 + p. Factor 0*r + q*r**2 - r**3 + 0 + 4/5*r**4 - 1/5*r**5.
-r**2*(r - 2)*(r - 1)**2/5
Let m = 526 + -1618/3. Let l = -139/12 - m. What is f in -1/4*f**3 + l*f**2 - 1/2*f + 3/4*f**5 - 7/4*f**4 + 0 = 0?
-1, 0, 1/3, 1, 2
Let j be ((-46101)/165)/(1/(-5)). Let k = j - 12553/9. Let 50/9 - k*g + 2/9*g**2 = 0. Calculate g.
5
Let z(h) be the third derivative of h**8/10080 - h**7/1260 - h**6/45 + h**5/60 - h**2. Let c(n) be the third derivative of z(n). Factor c(g).
2*(g - 4)*(g + 2)
Let y = -5656 - -45253/8. Find u, given that 7/2*u**4 + 0*u - 33/8*u**3 - 9/4*u**2 - y*u**5 + 0 = 0.
-2/5, 0, 3
Let z(r) be the first derivative of -4*r**5/5 - 9*r**4 - 36*r**3 - 54*r**2 - 104. Factor z(j).
-4*j*(j + 3)**3
Suppose -4 = -v - v. Suppose -4*q = 5*z - 54, -v*z - 3*q + q = -20. Determine s so that 4*s**2 + z + 4*s**3 - 14 + 0*s - 4*s**4 - 4*s = 0.
-1, 0, 1
Let y(v) be the first derivative of -7*v**3 - 66*v**2 - 36*v - 11. Factor y(d).
-3*(d + 6)*(7*d + 2)
Suppose -d + 12*d = 0. Let -9*k**3 - 17*k**4 + 6 + d*k**2 - 3*k**2 + 14*k**4 + 9*k = 0. Calculate k.
-2, -1, 1
Let l be -10 - (12410/70)/(-17). Determine i, given that -l*i - 3/7*i**2 - 1/7*i**3 - 1/7 = 0.
-1
Let a be (-40)/12*126/4. Let d be 14/a - (-2)/15. Solve 2*h**3 + d*h**3 - 135*h - 31*h**2 + 76*h**2 - 7*h**3 + 135 = 0 for h.
3
Suppose 72*f**3 - 24*f**3 - 12420*f - 3*f**4 - 5799*f**2 - 6766 + 418 + 235*f**3 - 13*f**3 = 0. What is f?
-1, 46
Let c be ((-1)/2)/(8/368). Let o = 55 + c. Factor -7*l - 8*l**3 + o*l**2 + 28*l**4 - 9*l + 84*l**3.
4*l*(l + 1)*(l + 2)*(7*l - 2)
Let v(c) be the first derivative of 7*c**5/120 + c**4/6 + c**3/12 + 7*c**2/2 - 10. Let f(p) be the second derivative of v(p). What is s in f(s) = 0?
-1, -1/7
Let v(r) be the third derivative of r**5/450 + r**4/90 + 108*r**2. What is w in v(w) = 0?
-2, 0
Determine s, given that -493*s**2 + 10*s - 487*s**2 + 979*s**2 - 21 = 0.
3, 7
Let i = 22 - 20. Find o, given that -16*o**i + 8 + 11*o + 0*o**2 - 39*o = 0.
-2, 1/4
Let k(i) be the second derivative of -5*i**7/14 - 14*i**6/5 - 36*i**5/5 - 13*i**4/2 + 5*i**3/2 + 9*i**2 - 96*i. Let k(w) = 0. Calculate w.
-3, -1, 2/5
Let c(k) = 3*k**3 + 7*k**2 - 32*k + 12. Let r(q) = -3*q**3 - 8*q**2 + 31*q - 12. Let z(o) = 6*c(o) + 5*r(o). Determine y so that z(y) = 0.
-4, 1/3, 3
Let o(a) be the second derivative of a**6/20 - 3*a**5/10 + a**4/2 + a - 96. Solve o(v) = 0 for v.
0, 2
Factor 54/5*o**2 - 3/5*o**3 + 3/5*o - 54/5.
-3*(o - 18)*(o - 1)*(o + 1)/5
Let h = -2038 - -2041. Factor 8/5 + 4/5*b**h + 16/5*b**2 + 4*b.
4*(b + 1)**2*(b + 2)/5
Let a(k) be the first derivative of -4*k**5 - 165*k**4/4 - 40*k**3/3 + 95. Factor a(n).
-5*n**2*(n + 8)*(4*n + 1)
Let b(l) = 6*l**2 + 102*l + 51. Let m(x) = -6*x**2 - 103*x - 52. Let v(t) = -4*b(t) - 3*m(t). Factor v(c).
-3*(c + 16)*(2*c + 1)
Let f = 11 - 8. Suppose 0 = -n + 5*j - 13, -2*n - 2 = -2*j - 0. Factor -m**5 + 2*m**n + 5*m**f - 2*m**4 - 3*m**3 - m**5.
-2*m**2*(m - 1)*(m + 1)**2
Let w(j) be the second derivative of 6*j + 0*j**3 + 0 + 1/30*j**5 + 0*j**2 + 0*j**6 + 0*j**4 - 1/63*j**7. Solve w(g) = 0 for g.
-1, 0, 1
Let i(z) be the first derivative of 4*z - 4/3*z**3 + 5 - z**2 + 1/2*z**4. Factor i(f).
2*(f - 2)*(f - 1)*(f + 1)
Let m = 54 - 51. Factor 5*o + 20*o**2 - 4*o**3 + o**3 - 3*o**m - 20*o**4 + o**3.
-5*o*(o - 1)*(o + 1)*(4*o + 1)
Let a be (0 + (-3)/1)*4/(-3). Determine b so that 24*b**2 + a*b - 35*b**2 + 17*b**2 - 2*b**4 = 0.
-1, 0, 2
Let v(b) be the third derivative of b**5/240 + 73*b**4/96 + 3*b**3 + 704*b**2. What is p in v(p) = 0?
-72, -1
Let j(y) be the first derivative of -2*y**6/75 - y**5/25 + 2*y**4/15 + 3*y - 19. Let k(s) be the first derivative of j(s). Factor k(f).
-4*f**2*(f - 1)*(f + 2)/5
Let k(v) be the second derivative of -4/15*v**3 + 0*v**2 + 0 + 4*v + 1/15*v**4. Factor k(g).
4*g*(g - 2)/5
Let l = -301 - -303. Let b(p) be the first derivative of 2*p + 2 + 2/3*p**3 - l*p**2. Factor b(i).
2*(i - 1)**2
Factor -9/2*w**3 + 1/2*w**5 + 0 - 11/2*w**2 - 1/2*w**4 - 2*w.
w*(w - 4)*(w + 1)**3/2
Let j(o) = 2*o - 13. Suppose 3*n - 50 = -2*n. Let v be j(n). Factor -3 + 3*t**2 - v*t**2 + 2 - 4*t.
-(2*t + 1)**2
Let w(t) be the first derivative of -2*t**5/45 + t**4/9 - 2*t**2/9 + 2*t/9 - 9. Find m such that w(m) = 0.
-1, 1
Factor -6*l**4 - 3*l**4 - 10*l**4 - 15*l**3 + 13*l**4 + 5*l**4.
-l**3*(l + 15)
Let a(g) be the second derivative of -1/240*g**6 + 1/48*g**4 + 1/40*g**5 - 1/4*g**3 - 15*g + 0 - 9/16*g**2. Factor a(d).
-(d - 3)**2*(d + 1)**2/8
Let o be 254/(-62)*1*6/(-18). Let r = o - 1/31. Solve -2/3*t**3 + 2*t - r + 0*t**2 = 0 for t.
-2, 1
Let y(s) be the third derivative of -s**6/2160 - s**5/144 - s**4/24 + 35*s**3/6 + 33*s**2. Let c(v) be the first derivative of y(v). Factor c(k).
-(k + 2)*(k + 3)/6
Let u(d) be the first derivative of -d**6/960 + d**4/64 - d**3/24 - 4*d**2 - 22. Let z(k) be the second derivative of u(k). Factor z(g).
-(g - 1)**2*(g + 2)/8
Let u = 29/4 - 7. Let n = -83 + 85. Factor u*d**n + 0 + 1/2*d.
d*(d + 2)/4
Let q(o) = -o**3 + o. Let a(v) = -v**4 - 9*v**3 + 9*v**2 + v. Let d(b) = 11*b + 5. Let u be d(-1). Let w(l) = u*q(l) + a(l). Factor w(m).
-m*(m - 1)**2*(m + 5)
Let d(g) be the first derivative of 2*g**3/63 - 32*g/21 + 88. Factor d(w).
2*(w - 4)*(w + 4)/21
Let y(x) be the first derivative of 1/24*x**4 - 1 - 1/4*x**2 - 1/40*x**5 + 2*x + 1/12*x**3. Let b(k) be the first derivative of y(k). Find i such that b(i) = 0.
-1, 1
Let y(t) = 3*t**4 + 31*t**3 - 13*t**2 - 291*t - 226. Let a(l) = l**4 + 10*l**3 - 4*l**2 - 97*l - 75. Let q(i) = 8*a(i) - 3*y(i). What is m in q(m) = 0?
-13, -2, -1, 3
Suppose 0*o = -3*o + 48. Determine a, given that 3*a - o*a**3 + 10*a**4 - 3*a - 9*a**3 - 10*a**2 + 25*a**5 = 0.
-1, -2/5, 0, 1
Let 11/6*m + 2/3*m**2 - 1/2 = 0. What is m?
-3, 1/4
Let p(x) be the third derivative of -x**6/720 + 2*x**5/45 - 7*x**4/36 - 11*x**2 + 5. Solve p(i) = 0 for i.
0, 2, 14
Let a be (-3)/(-33)*22 - (22/12)/1. Solve 0*o + 1/6*o**2 - 1/3*o**3 + 0 + a*o**4 = 0 for o.
0, 1
Let z(l) = -l**3 - 6*l**2 - 6*l + 6. Let h = 13 - 32. Let b = 12 + h. Let x(o) = 3*o**2 + 3*o - 3. Let w(k) = b*x(k) - 3*z(k). Factor w(d).
3*(d - 1)**2*(d + 1)
Factor -544*y + 4344/7*y**2 + 25/7*y**4 + 680/7*y**3 + 112.
(y + 14)**2*(5*y - 2)**2/7
Let b(h) = 3*h**3 + 12*h**2 - 27*h. Let u(c) = c**3 + 5*c**2 - 11*c. Suppose 0 = 2*a - 22 + 12. Let d(v) = a*b(v) - 12*u(v). Let d(o) = 0. Calculate o.
-1, 0, 1
Let p(c) be the second derivative of -5*c**4/36 + 175*c**3/9 - 6125*c**2/6 + 40*c - 1. Let p(s) = 0. Calculate s.
35
Determine g so that 2048/3 + 1408*g + 2/3*g**4 + 44*g**3 + 2306/3*g**2 = 0.
-32, -1
Let g(b) be the second derivative of b**7/630 - b**6/120 + b**5/60 - b**4/72 + 5*b**2 + 3*b. Let o(n) be the first derivative of g(n). Factor o(p).
p*(p - 1)**3/3
Let x(k) be the first derivative of 5*k**4/6 - 2*k**3/3 - 3*k**2 + 3*k + 3. Let q(n) be the first derivative of x