et n(b) be the third derivative of 4/3*b**4 + 2*b - 40*b**2 + 0 + 0*b**3 - 7/30*b**5. Let n(p) = 0. What is p?
0, 16/7
Factor 25/3 - 149/9*k + 1/9*k**3 + 73/9*k**2.
(k - 1)**2*(k + 75)/9
Let o(f) be the third derivative of f**5/240 - 23*f**4/48 + 205*f**3/24 + 3586*f**2. Factor o(i).
(i - 41)*(i - 5)/4
Let c = 24101 + -24095. Let w(k) be the third derivative of 0*k + 0 - 1/600*k**c + 1/75*k**5 + 0*k**3 - 21*k**2 + 0*k**4. Solve w(m) = 0.
0, 4
Let q be ((-5)/((-75)/9))/((-4)/(-20)). Let n(w) = -7*w**2 + 7*w + 2. Let i(k) = 48*k**2 - 48*k - 16. Let y(p) = q*i(p) + 20*n(p). Solve y(j) = 0 for j.
-1, 2
Let q(m) = 4*m**2 + 128*m - 384. Let s(f) = f**2 + 26*f - 77. Suppose 5*l = 3*z + 2*l - 15, 0 = z + 5*l + 7. Let b(x) = z*q(x) - 16*s(x). Factor b(y).
-4*(y - 2)*(y + 10)
Let a(j) be the first derivative of j**5/36 - 5*j**4/9 - 5*j**3/2 - 38*j**2 + 68. Let c(v) be the second derivative of a(v). Find s, given that c(s) = 0.
-1, 9
Factor 8/3*z**3 + 44/9*z**2 - 56/3*z + 2/9*z**4 + 98/9.
2*(z - 1)**2*(z + 7)**2/9
Let j(u) = -u + 4*u**2 + 5*u**2 + 0*u**2 + 0*u - 11*u**2. Let v(t) = -16*t**2 + 14*t. Let k(q) = -6*j(q) + v(q). Find y such that k(y) = 0.
0, 5
Let s be (0 - 24/(-4))/((-51)/442*-26). Factor 4 + 2/3*u**3 - 10/3*u - 4/3*u**s.
2*(u - 3)*(u - 1)*(u + 2)/3
Let j(p) be the third derivative of 0 - 44*p**2 + 1/12*p**5 + 0*p**3 + 0*p - 15/8*p**4. Factor j(f).
5*f*(f - 9)
Let a = 0 - -5. Let n be (-950)/15*(-18)/a. What is j in 2*j**2 + n*j**4 - 227*j**4 - 4*j**2 + 3*j**2 - 2*j**3 = 0?
0, 1
Suppose a = o + 7, 3*o + 3849*a - 39 = 3846*a. Solve -2/3*n**o - 4 - 2/3*n + 8/3*n**2 = 0 for n.
-1, 2, 3
Let s = 12757 - 12755. Let y(u) be the third derivative of -1/21*u**3 + 0*u - 1/70*u**5 + 0 - 1/420*u**6 + 28*u**s - 1/28*u**4. Let y(m) = 0. Calculate m.
-1
Suppose -4*f + 5 = -3*f. Let r = f - -12. What is b in -4 + 7*b + b**3 - r*b - 9*b**3 + 22*b**2 + 0*b**3 = 0?
-1/4, 1, 2
Let r(o) = -16*o**3 - 4*o**2 + 42*o - 138. Let a(h) = 2*h**3 - h + 29. Let n(v) = -6*a(v) - r(v). Determine c so that n(c) = 0.
-3, -1, 3
Suppose -37*f - 22 = 2*l - 38*f, 4 = -2*f. Let v be (-576)/(-21)*(l - (-294)/24). Factor v + 68/7*y**2 + 12/7*y**3 + 16*y.
4*(y + 2)*(y + 3)*(3*y + 2)/7
Let -351*k**4 + 351*k**2 - 385*k - 3*k**5 + 247*k + 357*k**3 - 216*k = 0. What is k?
-118, -1, 0, 1
Let p(d) be the second derivative of 0*d**2 + 0 + 1/9*d**3 + 64*d + 1/27*d**4 - 1/90*d**5. Solve p(c) = 0.
-1, 0, 3
Let q(f) = -f**2 + 45*f - 439. Let o be q(31). Let b be (20 - 1320/77)*(-1)/o. Determine c so that b*c - 2/7*c**2 - 2/7*c**3 + 0 = 0.
-2, 0, 1
Let o(i) be the second derivative of -i**6/6 - 17*i**5/4 - 85*i**4/4 + 785*i**3/6 - 220*i**2 - 9*i + 13. Factor o(s).
-5*(s - 1)**2*(s + 8)*(s + 11)
Suppose 10*f = 113 - 13. Suppose -f - 12 = -2*i. Let -w**2 - 5*w**3 - 6*w**4 + i*w**4 + 0*w**2 + 5*w**5 - 4*w**2 = 0. What is w?
-1, 0, 1
Let d = 65144 - 65139. Determine u, given that 2/3*u**4 + 8/3 + 2/3*u**d - 10/3*u**2 + 8/3*u - 10/3*u**3 = 0.
-2, -1, 1, 2
Let c(m) be the third derivative of -m**8/23520 - m**7/441 - 5*m**6/126 - 287*m**4/24 + 42*m**2. Let w(l) be the second derivative of c(l). Factor w(g).
-2*g*(g + 10)**2/7
Let q be -3 - ((-62)/124)/((-95)/16 + 6). Suppose 8/13*f**4 + 4/13*f**3 - 6/13*f + 2/13*f**q + 0 - 8/13*f**2 = 0. Calculate f.
-3, -1, 0, 1
Let p(v) be the first derivative of 1/14*v**4 - 9/7*v**2 - 93 - 18/7*v + 2/21*v**3. Factor p(d).
2*(d - 3)*(d + 1)*(d + 3)/7
Suppose -556*b + 290*b = -279*b. Let q(l) be the third derivative of 5/3*l**4 - 23*l**2 + b + 10/3*l**3 + 0*l + 1/24*l**6 + 5/12*l**5. Factor q(u).
5*(u + 1)*(u + 2)**2
Suppose 0*i + 24 = 5*i + 3*o, -5*i = -o - 12. Factor -28 + 34 + 2*s - 11*s + i*s**2.
3*(s - 2)*(s - 1)
Let v(f) be the second derivative of -f**6/150 + 11*f**5/50 - 77*f**4/60 + 46*f**3/15 - 18*f**2/5 - 3493*f. Factor v(y).
-(y - 18)*(y - 2)*(y - 1)**2/5
Factor -85*b**2 + 22*b**2 - 592*b - 2274 + 32*b**2 + 27*b**2 - 1674.
-4*(b + 7)*(b + 141)
Let q be (-1580)/(-237) + 1316/(-210). Factor 98/5 + 6*f**2 - q*f**3 - 126/5*f.
-2*(f - 7)**2*(f - 1)/5
Suppose -12*f + 29205 = 29205. Find b, given that 0 + f*b**4 + 9/4*b**3 + 0*b - 3/4*b**5 + 3/2*b**2 = 0.
-1, 0, 2
Let j = -63459 - -63462. Find t, given that 4/3*t**5 + 4*t**4 + 0*t + 0*t**2 + 8/3*t**j + 0 = 0.
-2, -1, 0
Let v(t) be the third derivative of -t**6/120 + t**5/60 + 4*t**4/3 - 10*t**3 + 1601*t**2. Suppose v(p) = 0. Calculate p.
-6, 2, 5
What is u in -216*u**2 + 105*u**2 + 116*u**2 - 540*u - 2240 = 0?
-4, 112
Find w, given that -35*w**3 - 265*w - 142*w**2 - 114 + 5*w**4 - 157 - 53*w**2 + 161 = 0.
-2, -1, 11
Let l(w) be the first derivative of 4*w**5/5 - 28*w**4 + 872*w**3/3 - 520*w**2 - 2028*w - 283. Factor l(u).
4*(u - 13)**2*(u - 3)*(u + 1)
Suppose -4 = 3*n + 2*w, 0 = -n - w - 8 + 5. Let g(x) = -10*x**2 - 25*x - 6. Let r(m) = -39*m**2 - 99*m - 24. Let a(d) = n*r(d) - 9*g(d). Solve a(u) = 0.
-2, -1/4
Let y(i) be the third derivative of -i**8/616 + 2*i**7/105 - 13*i**6/660 - 41*i**5/165 + 25*i**4/33 - 8*i**3/11 + 2*i**2 - 514. Solve y(u) = 0 for u.
-2, 1/3, 1, 2, 6
Let x be ((-5)/(-3))/(32 - (-11120)/(-360)). Determine n so that -30*n - x*n**2 + 0 = 0.
-20, 0
Let f be ((-33)/30)/((-4)/(-14)*7*2/(-10)). Factor -f*i**2 + 23/4*i**3 + 1/4*i**5 + 0 + 0*i - 13/4*i**4.
i**2*(i - 11)*(i - 1)**2/4
Suppose 8*d + 8 = 4*d - 2*n, -4*n = -d - 2. Let o be (-9)/d + 1*3/(-2). Factor -8*s**2 - o*s**5 + 9*s**3 + 4*s**2 - 2*s**2.
-3*s**2*(s - 1)**2*(s + 2)
Let y(a) be the first derivative of -12 + 30*a**2 - 40/3*a**3 - 23*a - 1/4*a**5 + 35/12*a**4. Let g(p) be the first derivative of y(p). What is j in g(j) = 0?
2, 3
Suppose 4*z = -v + 24 - 1, 2*v = 6. Factor -3*h**5 - 3*h**3 - h**4 + 5*h**z - 5*h**4 - 5*h**5.
-3*h**3*(h + 1)**2
Let w(h) be the first derivative of 84 + 768/5*h**3 + 3/5*h + 72/5*h**2 + 3072/5*h**4. Factor w(t).
3*(16*t + 1)**3/5
Let o be (-3)/(-12) - (-205)/82. Let a(z) be the second derivative of -5/2*z**3 + 0 + 9/2*z**2 + 8*z - o*z**4 - 9/20*z**5. Factor a(x).
-3*(x + 1)*(x + 3)*(3*x - 1)
Let v(x) = -x**3 + 13*x**2 - 24*x + 4. Let y be v(10). Suppose -59*h - y*h + 185*h - 4*h**2 - 12*h**3 - 62*h - 8*h**4 = 0. What is h?
-1, -1/2, 0
Let r(t) be the third derivative of -t**6/24 - t**5 + 5*t**4/24 + 10*t**3 + 61*t**2 - 19*t. Factor r(l).
-5*(l - 1)*(l + 1)*(l + 12)
Let y(c) be the third derivative of -95/48*c**4 - 1/3*c**5 - 4*c + 1/48*c**6 - 25/6*c**3 - 6*c**2 + 0. Let y(w) = 0. What is w?
-1, 10
Find x, given that 0 - 2/9*x**5 + 2*x**4 - 58/9*x**3 + 26/3*x**2 - 4*x = 0.
0, 1, 2, 3
Suppose 3613*q**2 - 170*q - 3618*q**2 - 240*q - 8405 = 0. Calculate q.
-41
Let u(n) be the second derivative of n**5/4 + 235*n**4/12 + 1795*n**3/6 - 2035*n**2/2 + 4068*n. Suppose u(z) = 0. Calculate z.
-37, -11, 1
Let r(v) be the second derivative of v**5/300 + v**4/30 - v**3/6 - 68*v**2 + 9*v + 8. Let t(s) be the first derivative of r(s). Factor t(h).
(h - 1)*(h + 5)/5
Let d(n) = 28*n**2 + 212*n + 576. Let z(c) = c**2 + 4*c + 1. Let p(f) = -d(f) + 24*z(f). Factor p(u).
-4*(u + 6)*(u + 23)
Suppose 2*z = c + 12, -19*z + 23*z - 24 = -4*c. Let w(a) be the second derivative of a**4 + c - 18*a + 9/2*a**2 - 13/2*a**3. Determine r so that w(r) = 0.
1/4, 3
Let p(w) = -w**3 + 52*w**2 - 499*w - 312. Let y be p(39). Suppose -3*c + y + 4/3*c**2 = 0. What is c?
0, 9/4
Factor 0 + 0*x - 1/3*x**3 + 673/3*x**2.
-x**2*(x - 673)/3
Let i(x) = x**2 - 46*x + 522. Let p be i(26). Let h(q) be the third derivative of 0 - 1/300*q**5 + 0*q**3 + 1/60*q**4 + 17*q**p + 0*q. Factor h(d).
-d*(d - 2)/5
Let c = -2734/311 - -10133/622. Suppose -c - 1/2*d**2 + 8*d = 0. What is d?
1, 15
Suppose 115 = 8*v - 77. Find x, given that 4*x**3 + v*x**2 - 12 + 0*x**3 - 20*x - 28*x**2 = 0.
-1, 3
What is w in -14/5*w**5 - 116/5*w**2 - 18*w**3 + 0 + 92/5*w**4 + 16*w = 0?
-1, 0, 4/7, 2, 5
Suppose -18 = x - 43*q + 38*q, 3*x + 6*q - 72 = 0. Let s(w) be the first derivative of -22/9*w**2 + 20/9*w - 52/27*w**3 - x + 1/3*w**4. Factor s(y).
4*(y - 5)*(y + 1)*(3*y - 1)/9
Let k(b) = -4*b - 80. Let z be k(-19). Let n(f) = 2*f**2 + 40*f + 46. Let i(j) = -4*j**2 - 79*j - 93. Let w(a) = z*i(a) - 9*n(a). What is r in w(r) = 0?
-21, -1
Solve 412*b - 24*b**2 - 410*b - 18*b**3 + 33*b**2 = 0.
-1/6, 0, 2/3
Let j = -4351 - -204509/47. Let l = j + 716/141. Factor -4/3*s**2 - 16/3 + l*s.
-4*(s -