*w**6 - 1/120*w**4 + 0*w**5 - 3*w**3 - 11 + 0*w + 0*w**2. Let v(u) be the third derivative of m(u). Factor v(a).
(a - 1)*(a + 1)/5
Let h(m) be the first derivative of 2*m**3/3 + m**2 - 144*m + 1248. Factor h(q).
2*(q - 8)*(q + 9)
Let z(i) be the first derivative of 2*i**3/3 + 3*i**2/2 - 3*i - 139. Let n be z(1). Find o, given that -3/5*o**n + 0*o + 0 + 3/5*o**4 + 0*o**3 = 0.
-1, 0, 1
Suppose 0 = -2*u + o + 7, 4*u + 35 - 45 = -2*o. Let x = -4 + 4. Solve -4/3*r**u + x - 1/3*r**4 - 5/3*r**2 - 2/3*r = 0 for r.
-2, -1, 0
Let y be 69/36 - (-1 - 377/(-174)). Solve -y*k**3 + 0 - 9*k - 21/4*k**2 = 0.
-4, -3, 0
Suppose 12*n - 10 = 10*n - 3*s, -4*n + 18 = 5*s. Let v be n/(-11) - (4404/(-264) + 12). Determine z, given that 1/2*z**2 - v*z - 5 = 0.
-1, 10
Let o = 1024 - 11238/11. Let d = o - 146/99. Suppose 2/9*a**2 - d*a + 0 = 0. Calculate a.
0, 4
Let r(f) be the first derivative of 2*f**3/9 - 10*f**2 + 208*f/3 + 122. Find i, given that r(i) = 0.
4, 26
Suppose -32/3 + 32/3*o**3 + 88/3*o - 28*o**2 - 4/3*o**4 = 0. Calculate o.
1, 2, 4
Let s = 19241/3076 + -4/769. Let j(z) be the second derivative of 0*z**2 + s*z**4 + 7/2*z**6 - 5/3*z**3 - 16*z - 17/2*z**5 + 0. Solve j(u) = 0.
0, 2/7, 1/3, 1
Let z(x) be the third derivative of 1/30*x**5 + 17/360*x**6 - 2/9*x**4 + 0*x**3 - 6*x + 0 - 3*x**2 - 1/1008*x**8 - 1/105*x**7. Find h such that z(h) = 0.
-8, -1, 0, 1, 2
Let x(w) be the second derivative of -17/13*w**2 + w + 45 - 16/39*w**3 + 1/78*w**4. Factor x(l).
2*(l - 17)*(l + 1)/13
Let w = -256 - -258. Factor 40*q**w + 23197*q - 3*q**3 - 24520*q + 86*q**2.
-3*q*(q - 21)**2
Let u(g) be the first derivative of -7*g**2 + 0*g**4 + 1/480*g**5 + 0*g + 9 - 1/48*g**3. Let i(v) be the second derivative of u(v). Suppose i(l) = 0. What is l?
-1, 1
Let f be (-4)/(-26) - ((-120)/65 + 5). Let v(q) = -15*q**3 - 36*q**2 + 21*q + 3. Let j(b) = -b**2 - b - 1. Let r(g) = f*j(g) - v(g). Factor r(h).
3*h*(h + 3)*(5*h - 2)
Suppose 25*o = -o - 11*o + 74. Factor -2/7*n**o - 16/7*n - 30/7.
-2*(n + 3)*(n + 5)/7
Let a be -4 - (3 - 6) - -3. Let u be (3 + -3)/(-1)*(-1 + a). Factor 3/4*f**4 + 0*f + u + 3*f**2 + 3*f**3.
3*f**2*(f + 2)**2/4
Let k be 40/320 + 538/48. Let x be (-4 + -2 + 22)*4/12. Factor -k*a + 20/3*a**2 - 2/3*a**3 + x.
-2*(a - 8)*(a - 1)**2/3
Factor 112/3*p - 1568/3 - 2/3*p**2.
-2*(p - 28)**2/3
Let k(w) = 3*w**2 + 4*w + 4. Let i be k(-1). Factor -3*t**2 + t**3 + t**i - 14*t - 46*t + t**3.
3*t*(t - 5)*(t + 4)
Let i(y) be the third derivative of -y**6/60 - y**5/10 + 3*y**4 - 32*y**3/3 + 10*y**2 - y. Factor i(x).
-2*(x - 4)*(x - 1)*(x + 8)
Let a be (-48)/(-10) + (-10)/(-50). What is w in 15*w**3 - a*w**5 - 22*w**2 - 5*w**4 + 17*w**2 - 10*w + 10*w**2 = 0?
-2, -1, 0, 1
Let y(m) be the third derivative of 0*m + 2*m**2 + 1/420*m**5 + 80 + 0*m**3 + 1/84*m**4 - 1/840*m**6. Solve y(w) = 0.
-1, 0, 2
Let l(z) be the second derivative of -2*z**6/75 + 141*z**5/25 - 853*z**4/3 - 6950*z**3 + 22500*z**2 - 10718*z. Let l(t) = 0. What is t?
-10, 1, 75
Let p be 1/((-120)/(-25) - 5) - -6. Find v such that 1 + 4630*v - 40*v**2 - p - 4710*v - 5*v**3 = 0.
-4, 0
Let f(p) = -23*p**3 - 34*p**2 + 2037*p - 13072. Let d(n) = 87*n**3 + 138*n**2 - 8142*n + 52287. Let c(s) = 4*d(s) + 15*f(s). Determine i so that c(i) = 0.
-36, 11
Let i = -21449/15 + 7173/5. What is z in 26/3*z + 10/3*z**2 - 2/3*z**3 + i = 0?
-1, 7
Suppose -13*a + 114 + 118 = 206. Let t(c) be the first derivative of 1/5*c**a - 2/15*c**3 + 12/5*c + 2. Factor t(l).
-2*(l - 3)*(l + 2)/5
Let i = -217 - -207. Let l be -2*(80/6)/i. Suppose 8/3*d**3 - 4/3 + 0*d**2 - l*d + 4/3*d**4 = 0. What is d?
-1, 1
Let m(f) be the third derivative of 1/12*f**5 + 0 + 490/3*f**3 - 116*f**2 + 35/6*f**4 + 0*f. What is q in m(q) = 0?
-14
Let t(f) be the third derivative of -f**7/189 + f**6/270 + 7*f**5/54 - 11*f**4/27 + 4*f**3/9 - 89*f**2 + 2. Suppose t(d) = 0. Calculate d.
-3, 2/5, 1, 2
Let q be -1 + 13 - (-9 + 10). Factor 16*v**3 - 48*v - 18*v - 44*v**2 + v - q*v - 16.
4*(v - 4)*(v + 1)*(4*v + 1)
Factor -137*k + 1231/6*k**2 + 0 - 1/6*k**4 - 68*k**3.
-k*(k - 2)*(k - 1)*(k + 411)/6
Let f(z) be the third derivative of z**8/2016 + z**7/336 + z**6/216 + 46*z**3/3 - z**2 - 5*z. Let g(p) be the first derivative of f(p). Factor g(y).
5*y**2*(y + 1)*(y + 2)/6
Let w(d) = -4*d**2 + 41*d + 51. Let b(f) = 9*f**2 - 84*f - 107. Let g(o) = 3*b(o) + 7*w(o). Factor g(v).
-(v - 36)*(v + 1)
Suppose 0 = 11*k - 48 + 26. Suppose 27*g - k + 2 = 0. Factor g - 8/17*i**3 - 10/17*i**2 - 2/17*i.
-2*i*(i + 1)*(4*i + 1)/17
Suppose -204 = -145*m + 41*m + 108. Let k(b) be the third derivative of 0*b + 1/120*b**5 + 5/48*b**4 + 0 + b**2 + 1/3*b**m. Factor k(i).
(i + 1)*(i + 4)/2
Let a(h) be the second derivative of h**6/6 + 11*h**5 + 215*h**4/12 + 10*h - 16. Let a(w) = 0. What is w?
-43, -1, 0
Let q(n) be the third derivative of 5/3*n**4 + 7/60*n**6 - 92*n - 3/5*n**5 + 0 - 1/105*n**7 + 2*n**2 - 8/3*n**3. Find k, given that q(k) = 0.
1, 2
Let q(r) be the first derivative of -2*r + 4/5*r**2 - 58 + 2/15*r**3. Determine z so that q(z) = 0.
-5, 1
Let 3922 - 8804 + 3400 - 213*p - 1266*p + 3*p**2 = 0. Calculate p.
-1, 494
Let y(p) be the third derivative of 2*p**7/735 + p**6/210 - 17*p**5/35 + 57*p**4/14 - 108*p**3/7 - 2*p**2 + 114. Factor y(g).
4*(g - 3)**2*(g - 2)*(g + 9)/7
Suppose -30*p = 50*p - 1280. Suppose p = 8*f - 0*f. Solve 0*u - 3*u**3 - 3/2*u**4 - 3/2*u**f + 0 = 0 for u.
-1, 0
Let w(q) be the second derivative of q**6/10 - 3*q**5/4 - 21*q**4/2 - 38*q**3 - 60*q**2 + 14532*q. Factor w(c).
3*(c - 10)*(c + 1)*(c + 2)**2
Let i = -397 + 411. Suppose -7 = i*h - 7. Let h + 1/4*t**2 - t = 0. Calculate t.
0, 4
Suppose -3*z + 1688 = v, 0 = -2*z + 5*v + 650 + 447. Let g = 564 - z. Factor -6/7 + 3/7*i**4 + 9/7*i + 3/7*i**2 - 9/7*i**g.
3*(i - 2)*(i - 1)**2*(i + 1)/7
Factor -2*h + 159244*h**3 + 159256*h**3 + 1492*h**2 - 318512*h**3 + 2*h.
-4*h**2*(3*h - 373)
Suppose -60 = 5*c + 5*k, 106785*c - 3*k - 44 = 106784*c. Determine v so that 4/5 + 2/5*v**4 - 3/5*v**5 - v - 6/5*v**c + 8/5*v**3 = 0.
-4/3, -1, 1
Factor -59*z**4 + 6698*z**2 - 6706*z**2 + 140*z**3 - 9*z**4.
-4*z**2*(z - 2)*(17*z - 1)
Suppose -19*y = -0*y + 1064. Let u be (-1493)/y - (-15)/(-40). Factor u*o**2 + 242/7*o**4 - 572/7*o**3 + 0 - 16/7*o.
2*o*(o - 2)*(11*o - 2)**2/7
Suppose -5*f - 2*u = -2910 - 2306, 4*u - 12 = 0. Let d = 2087/2 - f. Factor 3/4*q**3 + d*q + 0 - 9/4*q**2.
3*q*(q - 2)*(q - 1)/4
Let i = 67152 - 67148. Find u such that -1/7*u**2 + 0*u + 0 - 1/7*u**i + 2/7*u**3 = 0.
0, 1
Suppose 4 = -2*b + 2*d, 8*b = 11*b + 4*d - 15. Suppose -5*w - b + 16 = -y, 4*w = -2*y + 12. Factor 0*t**2 - 1/2*t**3 + 0 + y*t - 1/2*t**4.
-t**3*(t + 1)/2
Let l = 1788 + -1786. Suppose -3*q + l*y = 2, 4*q - 2 = -0*q - 2*y. Factor 3/7*o**4 - 3/7*o**5 + 3/7*o**3 + q*o - 3/7*o**2 + 0.
-3*o**2*(o - 1)**2*(o + 1)/7
Let d(r) be the third derivative of -r**7/5670 - r**6/270 - 4*r**5/135 + 19*r**4/12 - 66*r**2. Let j(o) be the second derivative of d(o). Factor j(c).
-4*(c + 2)*(c + 4)/9
Let h(f) be the first derivative of 0*f - 12 + 0*f**3 + 2/27*f**4 - 7/270*f**5 - 1/540*f**6 - 7/2*f**2. Let d(g) be the second derivative of h(g). Factor d(u).
-2*u*(u - 1)*(u + 8)/9
Let i(w) = 3*w**2 + 264*w + 5304. Let y(z) = 12*z**2 + 1053*z + 21213. Let l(p) = 15*i(p) - 4*y(p). Determine a, given that l(a) = 0.
-42
Let o be (-3657)/(-115) - (148 + -118). Solve -o + 1/5*j**2 + 8/5*j = 0 for j.
-9, 1
Let o(b) = -8*b + 57. Let k be o(7). Let z(g) = g - 1. Let u(t) = -5*t**3 - 25*t**2 - 5*t + 35. Let d(w) = k*u(w) - 5*z(w). Determine i so that d(i) = 0.
-4, -2, 1
Let x(u) be the third derivative of -2*u**2 + 1/6*u**3 + 0*u + 1/36*u**5 + 4 - 1/360*u**6 - 7/72*u**4. Suppose x(c) = 0. What is c?
1, 3
Let m(i) be the first derivative of 5*i**3/3 + 17715*i**2 + 62764245*i + 11618. Find x, given that m(x) = 0.
-3543
Let l = -1391189 + 1391193. Find d, given that 840/11*d + 42/11*d**3 + 400/11 + 1/11*d**l + 481/11*d**2 = 0.
-20, -1
Let a(f) be the first derivative of -4*f + 1/36*f**4 - 1/3*f**2 - 17 - 1/18*f**3. Let w(r) be the first derivative of a(r). Let w(q) = 0. What is q?
-1, 2
Let l(k) be the third derivative of -5/8*k**5 + 0*k**3 - 19/24*k**4 + 0 + 10*k**2 + 1/420*k**7 - 3/20*k**6 + k. Factor l(g).
g*(g - 38)*(g + 1)**2/2
Suppose -32*w + 12 = -28*w. Let g be w*(-5)/45*-6. Find k, given that 30