5*v**2 - 2*v - 6 + y = 0.
-1/5, 1
Let m be (69/6 + -11)*1. Factor -25/2*o**2 + 9/2*o**4 + 0*o + 0 + 15/2*o**3 + m*o**5.
o**2*(o - 1)*(o + 5)**2/2
Suppose 57*k = 120*k - 3024. Factor 12*z**4 - 6/5*z**5 + 0 + k*z**2 - 96/5*z - 198/5*z**3.
-6*z*(z - 4)**2*(z - 1)**2/5
Let i(z) be the third derivative of -2/3*z**4 - 1/5*z**5 + 0 + 2/15*z**6 + 0*z + 35*z**2 - 2/105*z**7 + 8/3*z**3. Find p, given that i(p) = 0.
-1, 1, 2
Let z(r) = -38*r**4 - 40*r**3 - 46*r**2 - 28*r + 16. Let n(h) = -12*h**4 - 13*h**3 - 15*h**2 - 9*h + 5. Let c(t) = 16*n(t) - 5*z(t). Let c(b) = 0. What is b?
-2, -1, 0
Let d(v) be the first derivative of 4*v**5 - 15*v**4/4 - 25*v**3/3 + 15*v**2/2 + 5*v - 76. Solve d(b) = 0 for b.
-1, -1/4, 1
Let v(s) be the first derivative of -4/11*s**4 - 4/33*s**3 + 0*s**2 + 0*s - 7/55*s**5 - 7. Factor v(z).
-z**2*(z + 2)*(7*z + 2)/11
What is i in 1 + 2 - 76*i**2 + 560*i**2 - 88*i + 1 = 0?
1/11
Let p(m) = 38*m - 2546. Let v be p(67). Let v*r + 4 - 4*r**2 + 1/4*r**5 - r**3 + 3/4*r**4 = 0. What is r?
-2, 1, 2
Let n(b) = -5*b**3 - 16*b**2 + 64*b. Let g(m) = 2*m**3. Let l(s) = 6*g(s) + 2*n(s). Find o, given that l(o) = 0.
0, 8
Let y(o) be the second derivative of o**6/6 + 7*o**5/2 + 20*o**4 - 35*o**3/3 - 245*o**2/2 - o - 26. Solve y(w) = 0.
-7, -1, 1
Let a(q) be the third derivative of -q**6/30 - 38*q**5/15 + 79*q**4/6 - 80*q**3/3 - 4*q**2 + 8*q. Solve a(m) = 0.
-40, 1
Let z = 1 + -1. Let j = 807/92 + -196/23. Find k, given that -1/4*k - j*k**2 + z = 0.
-1, 0
Let h(u) be the second derivative of -12*u**4 - 56*u**3 - 98*u**2 - 35*u - 1. What is p in h(p) = 0?
-7/6
Let n(y) = 9*y + 33. Let c be n(-13). Let f be 0 - (18/c + 2/(-7)). Factor 0*a - f*a**2 + 0.
-a**2/2
Let h(g) be the third derivative of g**5/120 + 61*g**4/24 + 3721*g**3/12 + g**2 - 120*g. Factor h(k).
(k + 61)**2/2
Suppose -4*s - 17*s + s = -6*s. Suppose -8/3*i - 2/3*i**3 + s - 10/3*i**2 = 0. Calculate i.
-4, -1, 0
Let f(t) be the third derivative of t**5/40 + 261*t**4/8 + 68121*t**3/4 - 115*t**2. Factor f(a).
3*(a + 261)**2/2
Determine x, given that -15*x**2 + 5 - 3*x**4 - 635*x + 21*x**3 + 8 + 5 + 614*x = 0.
-1, 1, 6
Let b(l) be the second derivative of 512*l**6/105 - 416*l**5/35 - 60*l**4/7 - 47*l**3/21 - 2*l**2/7 + 3*l - 6. Factor b(a).
2*(a - 2)*(8*a + 1)**3/7
Suppose 0 = -3*p + 2*j + 10, j = -0*p - 3*p + 4. Solve 26*d**5 - 25*d**5 - d - d**4 + d**p + 3*d**4 - 3*d**2 = 0.
-1, 0, 1
Suppose 9*k = 5*k - 4. Let f be (k + 1 - -3)*1 + -2. What is y in -f + 1/2*y**2 - 1/2*y = 0?
-1, 2
Let l be (-42)/(-24) - 1/(-4). Factor m + 27*m - 3*m - 5*m**3 - 10 - 15*m**l + 5*m**4.
5*(m - 1)**3*(m + 2)
Let r(i) be the third derivative of -i**6/2 - i**5/15 + 11*i**4/3 + 16*i**3/3 - 350*i**2. Factor r(z).
-4*(z + 1)*(3*z - 4)*(5*z + 2)
Let f(l) = -18515*l**3 - 15270*l**2 + 3055*l - 215. Let m(a) = 5290*a**3 + 4363*a**2 - 873*a + 61. Let t(q) = 7*f(q) + 25*m(q). Find i, given that t(i) = 0.
-1, 2/23
Factor 400/3*o**2 + 28/3*o**4 - 2/3*o**5 - 512/3*o + 256/3 - 152/3*o**3.
-2*(o - 4)**2*(o - 2)**3/3
Let x(h) be the first derivative of 9 + 0*h + 1/5*h**5 + 0*h**4 - h**3 + h**2. Find t, given that x(t) = 0.
-2, 0, 1
Let l be (1 + 194/(-250))*(-30)/(-12). Let q = l - -1/25. Factor -6/5*n + 6/5*n**3 + 3/5*n**2 - q.
3*(n - 1)*(n + 1)*(2*n + 1)/5
Suppose 4*p + 16 = -z, -2*z - 16 = 2*p + 2*p. Let g(b) be the first derivative of -3 + 1/28*b**4 + 0*b - 1/35*b**5 + z*b**2 + 2/21*b**3. Factor g(k).
-k**2*(k - 2)*(k + 1)/7
Let b(y) = 1 + y**2 - 3*y**2 - 3 + 5 + y**3 - 8*y. Let j be b(4). Factor z**j + z - 12 + 10 - 2*z + 2*z**2.
(z - 1)*(z + 1)*(z + 2)
Let q be (-4 - 1)*112/(-70). Suppose -x - 1 + 3 = 0. Find p, given that q*p - 2 + 2*p - 6*p**x - 2 = 0.
2/3, 1
Let v be 12384/3744 - 8/26. Factor -1/2*m**v + 4 - m**2 + 2*m.
-(m - 2)*(m + 2)**2/2
Let f be (4/10)/((-62)/(-620)). Factor -2/3*r**5 + 2/3*r**3 - 2/3*r**f + 2/3*r**2 + 0 + 0*r.
-2*r**2*(r - 1)*(r + 1)**2/3
Let f(q) be the first derivative of 1/18*q**3 + 2/3*q - 1/3*q**2 + 44. Factor f(u).
(u - 2)**2/6
Let a(i) be the second derivative of -i**4/3 + 8*i**3/3 - 8*i**2 - 309*i. Suppose a(y) = 0. What is y?
2
Determine i so that -258*i**4 + 119*i - 912*i**2 - 332*i**3 + 96 + 182*i + 1076*i**3 + 33*i**5 + 35*i = 0.
-2/11, 2
Factor 0*p**2 + 91*p + 57*p - 17*p**2 + 12*p**2 + 9*p**2.
4*p*(p + 37)
Let 50*i + 4*i**2 + 632 - 6*i**4 + 2*i**4 - 36*i**3 - 584 + 4*i**5 + 30*i = 0. Calculate i.
-2, -1, 2, 3
Let d = 3 - -2. Let q = 10 - 5. Factor 0*i**q - i**5 - i**d.
-2*i**5
Suppose 7*l + 8*l = 0. What is f in -2/3*f**3 + 0 - 4/15*f**2 + l*f - 2/15*f**5 - 8/15*f**4 = 0?
-2, -1, 0
Let k(t) be the third derivative of -t**5/150 + 29*t**4/60 - 133*t**2. What is v in k(v) = 0?
0, 29
Let v = -179/6 - -30. Let a be 21 + 792/(-48) - 10/4. Factor -v*p + 1/6*p**a + 0.
p*(p - 1)/6
Let 4*z**2 + 4*z**2 - 2*z**2 - 3*z - z**2 + 0*z**2 - 9 - z**3 = 0. Calculate z.
-1, 3
Suppose -6*m = -11*m. Let b(n) be the third derivative of m*n + 3*n**2 + 0 + 1/270*n**5 - 1/108*n**4 + 0*n**3. Factor b(p).
2*p*(p - 1)/9
Let i(y) be the second derivative of 0 - 1/24*y**4 - 1/4*y**2 - 9*y - 1/6*y**3. Factor i(h).
-(h + 1)**2/2
Suppose -n + 7 = -1. Suppose 3*s - 64 = n. Factor 0*g + 5*g + 2*g**3 + 7*g**3 + 7*g - s*g**2.
3*g*(g - 2)*(3*g - 2)
Let x(p) = -p**2 - 4*p. Let v(c) be the second derivative of c**4/4 + 2*c**3 - 4*c. Let g(o) = -4*v(o) - 11*x(o). What is j in g(j) = 0?
-4, 0
Let -527*r + 507*r + 12*r**3 - 20 + 25*r**2 + 3*r**3 = 0. What is r?
-2, -2/3, 1
Let d be (42/(-8) + 3)/(4/(-16)). Let v(q) be the second derivative of -d*q + 1/20*q**6 + 0 + 0*q**3 + 3/40*q**5 + 0*q**2 + 0*q**4. Factor v(j).
3*j**3*(j + 1)/2
Find k such that -48 - 39*k**2 - 96*k + 3/2*k**5 + 39/2*k**3 + 12*k**4 = 0.
-4, -1, 2
Let a(b) be the first derivative of -11 - 1/5*b**2 + 0*b + 0*b**3 + 1/10*b**4. Suppose a(f) = 0. Calculate f.
-1, 0, 1
Suppose 0 = q - 5*t - 30 + 55, 0 = q + 3*t - 23. Let 0*p**4 + 2/11*p + 0 - 4/11*p**3 + 0*p**2 + 2/11*p**q = 0. Calculate p.
-1, 0, 1
Let z(w) = 17*w**3 + 8*w + 7 - 3 - 25*w**2 - 6 + 15. Let q(c) = 4*c**3 - 6*c**2 + 2*c + 3. Let m(x) = 26*q(x) - 6*z(x). Solve m(r) = 0 for r.
0, 1, 2
Let s be -2 + 6 - (-7 - -13). Let r be (-22 - -23) + 1/(s/(-7)). Solve r*c - 3/2 - 9/2*c**2 + 3/2*c**3 = 0 for c.
1
Let o = -60 + 57. Let g(w) = -w**4 - w**3 + w**2. Let k(v) = v**5 - 16*v**4 + 16*v**2 - 8*v. Let s(z) = o*k(z) + 21*g(z). Solve s(d) = 0.
-1, 0, 1, 8
Let d(c) be the first derivative of -2*c**5/5 + 34*c**4 - 2444*c**3/3 + 2244*c**2 - 2178*c - 78. Factor d(p).
-2*(p - 33)**2*(p - 1)**2
Let n = 7 - 0. Suppose -3*f = -0*k + 2*k - n, 0 = -5*k + 3*f + 28. Let 8*i**2 - 10*i + 20*i**3 + k*i**2 - 4 - 4*i**4 - 2*i**2 - 3*i**2 - 10*i**5 = 0. What is i?
-1, -2/5, 1
Let y(o) be the third derivative of -4489*o**6/90 - 5293*o**5/45 - 140*o**4/3 - 8*o**3 + 779*o**2. Find t such that y(t) = 0.
-1, -6/67
Let a = 29/18 - 14/9. Let w(d) be the second derivative of a*d**3 - 1/3*d**2 - 4*d + 1/36*d**4 + 0. What is n in w(n) = 0?
-2, 1
Let b be 354/(-649) - (-228)/55. Let j = 102/5 - 18. Factor -j*w - 2/5*w**2 - b.
-2*(w + 3)**2/5
Let n(a) be the third derivative of a**8/112 + a**7/35 - 11*a**6/40 - 2*a**5 - 11*a**4/2 - 8*a**3 + 2*a**2 - 55. Solve n(i) = 0.
-2, -1, 4
Find u, given that -32/3 - 1/3*u**4 - 64/3*u - 14*u**2 - 11/3*u**3 = 0.
-4, -2, -1
Let j(k) = 4*k**4 + 4*k**2 - 16*k. Let f(g) = -g**3 + g**2 - g. Let z(b) = -8*f(b) + j(b). Determine t, given that z(t) = 0.
-2, -1, 0, 1
Let q(j) be the second derivative of j**4/42 + 3*j**3/7 - 22*j**2/7 + 29*j + 4. Factor q(k).
2*(k - 2)*(k + 11)/7
Factor -15*q + 43*q + 63*q**2 + 62*q**2 - 194*q**2 + 196 + 70*q**2.
(q + 14)**2
Let m(d) be the third derivative of -5*d**7/42 + 97*d**6/24 - 533*d**5/12 + 1005*d**4/8 - 135*d**3 - 14*d**2 + 2*d. Suppose m(a) = 0. Calculate a.
2/5, 1, 9
Suppose -2*s + j = -7, -s = -2*j - 2*j - 7. Let u = 5 - s. What is d in 6 - u - d**2 - 2 - 3 + 2*d = 0?
1
Let b = 3324 - 46513/14. Let n = b - 8/7. Solve -n + 1/4*r**2 + 1/4*r = 0 for r.
-2, 1
Let u = 391/66 - 57/22. Find o, given that o**4 + 1/3*o**2 - u*o - 4/3 + 29/6*o**3 - 3/2*o**5 = 0.
-1, -2/3, 1, 2
Suppose 4*c + 388 = 3*i, -c - 3*c - 2*i - 408 = 0. Let b = -100 - c. Suppose 5/8*g**3 + 7/8*g**2 + b + 1/8*g**4 + 3/8*g = 0. Calculate g.
-3, -1, 0
Let w(l) = l**2 - 9. Let v be w(5). Suppose -197 