- 18 = 0. Let y be 0 - ((-130)/b)/13. Solve 1/3*z**3 - y*z - 1/3*z**2 + 1/3 = 0.
-1, 1
Suppose 23 = 16*v - 697. Let -1275*o**2 + v*o**4 - 60 - 612*o + 159*o**3 + 48*o**4 + 270*o**4 + 1425*o**3 = 0. What is o?
-5, -2/11, 1
Let i(y) be the third derivative of y**5/12 + 35*y**4/3 - 290*y**3/3 + 236*y**2 - 5. Solve i(o) = 0.
-58, 2
Suppose -v - 10 = -15. Let c be 3 - -1 - (-5 + v). Factor 0 - 4 + c - 6*f + 3*f**2.
3*f*(f - 2)
Suppose 41*n = -1910 + 1992. Determine d so that 1/5*d**n + 4*d + 20 = 0.
-10
Let r(z) = -2*z**3 + 8*z**2 + 17*z - 63. Let h be r(4). Suppose 3*l = -j + 6, -h*l + 8*l - 5*j = 6. What is t in 2/5*t**3 - 4/5*t + 2/5*t**l + 0 = 0?
-2, 0, 1
Suppose -14*o = -12*o - 4. Solve -28*a**o - 19*a**2 - 84*a + 588 + 50*a**2 = 0.
14
Let g(s) be the third derivative of s**7/168 - s**6/72 - 29*s**3/6 + 5*s**2 - 3*s. Let n(j) be the first derivative of g(j). Suppose n(v) = 0. Calculate v.
0, 1
Let g(w) be the first derivative of 53*w**4/4 - 58*w**3/3 + 5*w**2/2 - 1664. Factor g(x).
x*(x - 1)*(53*x - 5)
Let g(n) be the third derivative of 0*n + 0 - 2/15*n**5 + 4/3*n**3 - 1/540*n**6 + 74*n**2 + 1/108*n**4. Find u, given that g(u) = 0.
-36, -1, 1
Let w(o) = o**3 + 28*o**2 - 555*o - 459. Let s be w(14). Factor 121/2*f**2 + 441/2*f**4 - 68*f + 8 + 357*f**s.
(f + 1)**2*(21*f - 4)**2/2
Let f = -15037/2 - -105277/14. Factor 1/7*k**4 + 22/7*k**2 + f - 24/7*k - 8/7*k**3.
(k - 3)**2*(k - 1)**2/7
Let z = -11471/142 - -6126/71. Suppose 5/6*f**4 + 7/3 - 19/6*f**2 - z*f**3 + 11/2*f = 0. What is f?
-1, -2/5, 1, 7
Let z(j) be the second derivative of 14/15*j**4 - 2/105*j**7 - 2/15*j**6 + 2/5*j**3 - 131*j - 2/25*j**5 - 18/5*j**2 + 0. Suppose z(c) = 0. What is c?
-3, -1, 1
Let t(l) = 8*l + 130. Let c be t(-16). Solve -60 - 119*w + c*w**3 + 60*w**2 + 114*w + 3*w**3 = 0 for w.
-12, -1, 1
Suppose 3*t - t - 5*s - 9 = 0, 5*t - 9 = -s. Let i be ((-6)/4 + 2)/(((-490)/(-60))/49). Find z, given that -14/3*z - 4/3*z**t - 4/3 + 2*z**i = 0.
-1, -1/3, 2
Suppose -2*z - 146 = 3*b + 170, -5*z - 790 = 3*b. Let r = z - -160. Factor 5*k + 15/4 + 5/4*k**r.
5*(k + 1)*(k + 3)/4
Let q = 10 - -177. Suppose 2*t + 45 = q. Factor -2*z - t*z**2 + 5*z + 70*z**2.
-z*(z - 3)
Suppose -581*x = -1912*x. Determine o so that -3/5*o**2 + 3/5*o**4 + x + 0*o - 3/5*o**5 + 3/5*o**3 = 0.
-1, 0, 1
Let l be -4 + 407*1/84 + (-1)/4. Let n(b) be the third derivative of 0*b + 1/105*b**5 + 5/42*b**4 + 0 + l*b**3 - 16*b**2. Find s such that n(s) = 0.
-5/2
Let g be (-51968)/(-12672) - (-24)/(-44). Suppose 2/9*b**3 + g + 2*b**2 + 16/3*b = 0. Calculate b.
-4, -1
Let v(i) be the third derivative of -i**7/210 + 2*i**6/15 - 16*i**5/15 + 3207*i**2. What is y in v(y) = 0?
0, 8
Let f(j) be the first derivative of -3/10*j**4 - 14 + 0*j + 27/5*j**2 + 16/5*j**3. Suppose f(s) = 0. What is s?
-1, 0, 9
Let d(u) be the second derivative of -1/80*u**5 - 31/48*u**4 + 0 - 57*u - 225/8*u**2 - 85/8*u**3. Determine s so that d(s) = 0.
-15, -1
Factor 88/3*z + 56 + 2/3*z**2.
2*(z + 2)*(z + 42)/3
Let h = -200 + 135. Let d = h + 67. Let -4*g**d + 32*g - 16*g**5 - 60*g**2 - 80*g**4 - 155*g**3 + 11*g**3 + 2*g**5 = 0. Calculate g.
-2, 0, 2/7
Let y(b) be the third derivative of -23*b**5/30 + b**4/2 - 39*b**2 + 8*b. Solve y(m) = 0 for m.
0, 6/23
Let t(n) be the third derivative of 0*n - 841/3*n**3 - 29/6*n**4 - 1/30*n**5 - 183*n**2 + 0. Solve t(b) = 0.
-29
Let t(g) be the third derivative of g**7/525 + 2*g**6/75 + 2*g**5/25 - 21*g**2 - g. Factor t(f).
2*f**2*(f + 2)*(f + 6)/5
Let k be -1*((-1160)/20 + 58). Factor 5*l**2 + k + 3/5*l**3 + 8/5*l.
l*(l + 8)*(3*l + 1)/5
Factor -242/9 - 44/9*i - 2/9*i**2.
-2*(i + 11)**2/9
Suppose -3*h - 2 = -44. Let x be (7*(38/h - 3))/(-1). Factor 19*n - 239*n - 2*n**3 + 22*n + 1016 - 1178 - 38*n**x.
-2*(n + 1)*(n + 9)**2
Let r = -189 + 197. Determine z, given that -8*z - r*z**2 + 4*z**4 - 5*z**3 - 2*z**5 + 16*z**3 - z**3 - 4*z**3 = 0.
-1, 0, 2
Let o(k) = k**4 + k**3 + 2*k**2 - 1. Let s(l) = -152*l**3 + 434*l**2 - 434*l + 146. Let q(d) = -2*o(d) - s(d). Suppose q(a) = 0. What is a?
1, 72
Find t, given that 490/9*t + 36 + 2/3*t**2 - 18*t**3 - 2/9*t**4 = 0.
-81, -1, 2
Let y(d) = d**2 - 153*d - 170. Let t(x) = -2*x**2 + 307*x + 345. Let b(q) = -4*t(q) - 9*y(q). Factor b(o).
-(o - 150)*(o + 1)
Factor 13*j - 4*j**2 - 114*j - 116608 + 117168 - 23*j.
-4*(j - 4)*(j + 35)
Let i(t) be the second derivative of -t**4/8 + 25*t**3/4 - 18*t**2 + 3660*t. Factor i(o).
-3*(o - 24)*(o - 1)/2
Let i = -882421 - -882423. Factor -8*l + 9/2*l**i + 0.
l*(9*l - 16)/2
Let w(p) = -p**2 - 15*p - 8. Let m be w(-7). Let l(u) be the first derivative of -2*u - m*u**4 - 4*u**3 - 44*u**3 - 28*u**2 - u + 10*u**2 - 1. Factor l(x).
-3*(4*x + 1)**3
Let j = 31 - 33. Let r be (j - -4 - 1)*53. Factor -105*u + u**3 + 50*u + 3*u**2 + r*u - 4*u**2.
u*(u - 2)*(u + 1)
Let w(k) be the third derivative of -k**5/12 - 255*k**4/4 - 39015*k**3/2 + 1157*k**2. Factor w(o).
-5*(o + 153)**2
Let p(j) = j**2 - 3*j + 14677. Let z be p(0). Let -z*d**2 + 14713*d**2 + 24*d + 5 - 1 = 0. Calculate d.
-1/3
Factor -1037*y**2 + 855*y**3 - 20*y + 1409*y**2 - 2072*y**2.
5*y*(y - 2)*(171*y + 2)
Suppose 70/3*v**2 - 10*v**3 + 5 - 5/3*v**4 + 5/3*v**5 - 55/3*v = 0. Calculate v.
-3, 1
Factor 4/5*v**2 + 48/5*v - 52/5.
4*(v - 1)*(v + 13)/5
Let p(u) = 30*u**3 + 52*u**2 - 245*u + 198. Let v(n) = -3*n**3 - 2*n**2 - 2*n. Let j(x) = p(x) + 5*v(x). Factor j(t).
3*(t - 1)*(t + 6)*(5*t - 11)
Let o(z) be the second derivative of -17 + 2*z + 1/2*z**3 + 1/4*z**4 - 3/20*z**5 - 3/2*z**2. Solve o(d) = 0.
-1, 1
Let y be (14/28 - (-75)/6) + -4. Let k be (-2)/(-3) - 1832/(-24). Solve 6*n**2 + 5*n - 39*n**4 - 6*n**3 - 12 + k*n**4 + y*n - 40*n**4 = 0 for n.
-3, -2, 1
Suppose -39*i + 65 = 9*i - 79. Let p(c) be the first derivative of 2/9*c**i - 13 + 0*c - c**2. Factor p(w).
2*w*(w - 3)/3
Let d(t) be the first derivative of 1/12*t**3 + 11*t**2 - 49 + 484*t. Determine c so that d(c) = 0.
-44
Suppose 3*q = 2*m - 22, -5*q + 0*q = -m + 11. Solve 5*k**2 - 11/2*k + q + 1/2*k**3 = 0 for k.
-11, 0, 1
Solve 2*k + 0 - 1/5*k**2 = 0.
0, 10
Let q be (45/20)/((-156)/(-208)). Suppose 6/7*k**q - 24/7*k - 8/7*k**4 + 34/7*k**2 - 8/7 = 0. Calculate k.
-2, -1/4, 1, 2
Let o(f) be the third derivative of f**8/336 + f**7/35 - 7*f**6/24 - 2*f**5 + 38*f**4/3 + 64*f**3 + 2*f**2 + 2*f + 2140. Find a, given that o(a) = 0.
-8, -4, -1, 3, 4
Let q(b) be the first derivative of 2*b**5/45 + 5*b**4/3 + 386*b**3/27 - 160*b**2/3 + 512*b/9 - 1076. Find p, given that q(p) = 0.
-16, 1
Let h be ((-8)/(-6))/(5/15). Suppose 6*p**2 + 5*p**2 + 9*p**2 + 32*p - 16*p**2 - h*p - 32 = 0. Calculate p.
-8, 1
Let s(o) be the first derivative of -o**5/45 - 3*o**4/4 + 58*o**3/27 + 931. Determine u so that s(u) = 0.
-29, 0, 2
Let m(v) be the first derivative of v**3 - 14*v**2 - 47*v - 71. Let i(y) = -y**2 + 14*y + 23. Let n(d) = 7*i(d) + 3*m(d). Solve n(x) = 0.
-5, -2
Let h = -710530 + 7105301/10. Factor 7/5 + 9/10*l + h*l**2.
(l + 2)*(l + 7)/10
Suppose -m - 3*m = -68. Suppose 20*v = m*v + 48. What is s in -14*s**2 + 6*s**3 - 234 - 8*s**5 + 4*s + v*s**4 + 234 = 0?
-1, 0, 1/2, 2
Suppose 1/4*i**3 - 19573/4 - 1173/4*i + 9/4*i**2 = 0. What is i?
-23, 37
Factor 0 - 21/5*s**2 - 11/5*s + 1/5*s**4 - 9/5*s**3.
s*(s - 11)*(s + 1)**2/5
Solve -2936 - 922 - 125*q**2 - 226*q - 517 - 1447*q + 5*q**3 + 48*q = 0 for q.
-5, 35
Suppose -4*b + 4 = -96. Let a = b - 23. Solve 24*n**2 + a - 19*n**2 - 2 = 0 for n.
0
Factor 79*h**2 - 5*h**3 + 438 + 26*h**2 - 161 + 423 - 540*h.
-5*(h - 14)*(h - 5)*(h - 2)
Let m(g) be the first derivative of -g**6/39 + 354*g**5/65 - 3869*g**4/13 - 452*g**3 + 40139*g**2/13 - 47526*g/13 - 402. Let m(c) = 0. What is c?
-3, 1, 89
Let b be (((-16)/3)/(-8))/((-5)/(-12)*638/870). Factor -b - 32/11*s + 2/11*s**3 - 6/11*s**2.
2*(s - 6)*(s + 1)*(s + 2)/11
Let g(w) be the first derivative of -5*w**4/4 + 125*w**3/3 - 420*w**2 + 720*w - 754. Factor g(m).
-5*(m - 12)**2*(m - 1)
Let k(t) be the second derivative of t**6/150 + 81*t**5/100 + 155*t**4/4 + 5375*t**3/6 + 9375*t**2 - 292*t. Let k(a) = 0. What is a?
-25, -6
Let g(z) be the second derivative of 25*z**6/6 - 55*z**5 + 580*z**4/3 - 680*z**3/3 + 120*z**2 + 421*z. Factor g(t).
5*(t - 6)*(t - 2)*(5*t - 2)**2
Let l(y) = -49*y - 1935. Let d be l(-40). Let -35/2*a - d + 5/2*a**3 + 10*a**2 = 0. What is a?
-5, -1, 2
Le