e the third derivative of f**8/84 - 16*f**7/105 - 3*f**6/10 - 21*f**2 - 21. Factor t(n).
4*n**3*(n - 9)*(n + 1)
Find a such that 52*a**4 - 32/3*a**2 - 2368/3 - 592/3*a**3 + 800*a - 2/3*a**5 = 0.
-2, 2, 74
Let n(g) = 2*g**2 - 7*g + 7. Suppose -3 = -5*j - 3*y, 7 = j - 3*y + 2*y. Let o be n(j). Factor 4*f**5 - 24*f**3 + 8*f**3 + 12*f**3 + 4*f**4 - o*f**2.
4*f**2*(f - 1)*(f + 1)**2
Let i(s) = -9*s**3 + 1. Let n(b) = -28*b**3 - 166*b**2 + 3. Let m(y) = 3*i(y) - n(y). Factor m(t).
t**2*(t + 166)
Suppose 312 = 9*g + 4*g. Suppose k - 2*h - g = -k, 2*h = -k + 15. Factor k + 20*y - 77*y**2 + 15*y**3 + 27 + 27*y**2.
5*(y - 2)**2*(3*y + 2)
Let o be (-464)/(-40) + 18/(-30). Suppose o*r = 26*r. Solve -4/11*b**3 + r + 2/11*b**5 + 0*b**2 + 0*b + 2/11*b**4 = 0 for b.
-2, 0, 1
Let r = -5559 - -77827/14. Let t(z) be the first derivative of r*z**4 - 23 + 25/7*z**2 - 20/21*z**3 + 0*z. Factor t(y).
2*y*(y - 5)**2/7
Let w(b) = 11*b**2 - 343*b - 1050. Let i be w(34). Determine h so that 10/13*h**2 - 2/13*h**i + 2/13*h**5 - 8/13 - 10/13*h**3 + 8/13*h = 0.
-2, -1, 1, 2
Let f(w) be the first derivative of 2*w**3/21 - 27*w**2/7 + 40*w + 5205. Determine l, given that f(l) = 0.
7, 20
Suppose 20 = 2*b - 5*l, -l = 2*b - 5*b + 56. Suppose -6 = 7*v - b. Let 5*p + p**v - 4*p**3 + 3*p**2 + 5*p**3 + 0 + 2 = 0. Calculate p.
-2, -1
Let b(o) be the first derivative of 2*o**3/21 + 40*o**2 - 562*o/7 - 988. Factor b(c).
2*(c - 1)*(c + 281)/7
Let i = -1169292 - -8185056/7. What is k in 72/7*k**2 + 0 + 87/7*k**3 + i*k + 27/7*k**4 = 0?
-2, -1, -2/9, 0
Suppose 157*k - 141 - 197 = -170 + 146. Factor -8/3 + 2*b - 1/3*b**k.
-(b - 4)*(b - 2)/3
Let w be ((-2)/(-13))/(65/((-25350)/(-120))). Suppose -1 + 1/4*i**4 - 3/4*i**2 + w*i**3 - 2*i = 0. What is i?
-2, -1, 2
Let m(i) be the first derivative of i**6/30 + 19*i**5/50 + 39*i**4/40 + 29*i**3/30 + 7*i**2/20 - 4695. Find q such that m(q) = 0.
-7, -1, -1/2, 0
Let q = -3/52 + -257/728. Let p = q - -107/56. Factor -p*j**2 - 18*j - 54.
-3*(j + 6)**2/2
Let g(c) be the third derivative of c**8/2520 + c**7/63 + 167*c**6/900 + 119*c**5/450 - 14*c**4/15 - 16*c**3/5 - 2566*c**2. What is h in g(h) = 0?
-12, -1, 1
Suppose 780*q**3 + 448/3*q - 924*q**2 - 16/3 = 0. Calculate q.
2/39, 2/15, 1
Suppose 722*u - 11 + 435 - 49 + 8*u**2 - 3*u**2 - 342*u = 0. What is u?
-75, -1
Let y(b) be the third derivative of -7/3*b**3 - 8*b**2 + 1/216*b**6 + 0*b - 25/36*b**4 + 0 - 1/24*b**5. Let x(z) be the first derivative of y(z). Factor x(a).
5*(a - 5)*(a + 2)/3
Let x(f) = f**3 - 11*f**2 + 11*f + 6. Let y be x(10). Suppose 0 = b - 3*q - y, 0*q + 4*q + 16 = 0. Factor 32*o**2 - 27*o**2 + 18*o**3 - 22*o**2 + b - 5*o**4.
-(o - 2)*(o - 1)**2*(5*o + 2)
Let f(d) be the first derivative of 25*d**4/2 - 410*d**3 - 1584*d**2 - 1944*d - 2089. Factor f(k).
2*(k - 27)*(5*k + 6)**2
Let l(x) be the second derivative of -14*x + 10/21*x**3 + 1/105*x**6 - 19/42*x**4 + 4/35*x**5 + 0*x**2 - 3. Suppose l(s) = 0. What is s?
-10, 0, 1
Suppose -5*y = -2*b - 31, -2*y + 9 = 2*b - 9. Suppose -100 = -y*t + 2*t. Let 17*r + t*r**2 + r**5 + r**5 + 13*r**3 - 11*r + 12*r**4 + 11*r**3 = 0. What is r?
-3, -1, 0
Find o such that -1/6*o**5 - 13/6*o**4 + 0 - 71/6*o**2 - 5*o - 53/6*o**3 = 0.
-6, -5, -1, 0
Let b be (-56)/(-22) + 1*((13 - 10) + -5). Factor 12 - b*n**3 - 54/11*n - 72/11*n**2.
-6*(n - 1)*(n + 2)*(n + 11)/11
Let f(v) be the second derivative of -31205/6*v**3 - 3*v - 1/4*v**5 + 395/6*v**4 + 0*v**2 - 6. Factor f(u).
-5*u*(u - 79)**2
Let d(q) = 15*q**3 + 3*q - 6. Let a(r) = -739*r**3 - r**4 + 754*r**3 + 2*r - 1 - 3. Let w(v) = 3*a(v) - 2*d(v). Find y, given that w(y) = 0.
0, 5
Let p(x) be the first derivative of x**4/28 + 2*x**3 - 181*x**2/14 + 138*x/7 - 1027. Factor p(m).
(m - 3)*(m - 1)*(m + 46)/7
Let h(x) be the third derivative of 11*x**5/40 - 83*x**4/16 + 39*x**3 + 3692*x**2. Factor h(v).
3*(v - 4)*(11*v - 39)/2
Let n(i) be the first derivative of 84 + 2/35*i**5 - 4/21*i**3 + 2/7*i - 1/21*i**6 - 1/7*i**2 + 1/7*i**4. Factor n(p).
-2*(p - 1)**3*(p + 1)**2/7
Let v(l) = 109*l**2 + 19*l + 15. Let f(g) = -94*g**2 - 18*g - 14. Let w(q) = -7*f(q) - 6*v(q). Solve w(u) = 0.
-2, -1
Suppose -2 = 2*y - 4*p, 0 = -6*y + y + p + 40. Let w be (-8)/28 + y/7 + 1. Suppose 1 - 3*z + 2*z + z**2 - 3*z + w*z = 0. What is z?
1
Let r = -397191/8 - -49649. Let 9/4*f**3 + 0*f - r*f**4 - 17/8*f**2 + 0 = 0. What is f?
0, 1, 17
Factor -154013*m - m**3 + 489 - 2*m**3 + 546*m**2 - 33041 - 71236 + 130298*m.
-3*(m - 93)**2*(m + 4)
Suppose -51*r + 4*t = -60*r + 11, -5*t = 4*r + 8. Let 178/3*v - 184/3*v**2 + 8/3*v**r - 44/3 = 0. What is v?
1/2, 22
Let f be 44/66*(-18)/(-4) + -1. Let y be 336/192 - (-1)/(-12). Factor 1 - y*h**f + 2/3*h.
-(h - 1)*(5*h + 3)/3
Let x(t) be the first derivative of 8/7*t - 2/7*t**2 - 112 - 4/21*t**3. Factor x(o).
-4*(o - 1)*(o + 2)/7
Let r(y) be the second derivative of -5*y**4/12 - 25*y**3/3 + 240*y**2 + 4878*y. Let r(x) = 0. Calculate x.
-16, 6
Let j(m) be the first derivative of -3/5*m**5 - 253*m**3 - 630*m**2 - 45/2*m**4 - 588*m - 38. Factor j(u).
-3*(u + 1)**2*(u + 14)**2
Factor 1656*l**2 - 4332 - 15548*l + 2747 + l**4 - 15991 - 77*l**3 + 294*l**2.
(l - 26)**3*(l + 1)
Factor -1/4*c**4 - 430128*c - 464*c**3 - 859329/4 - 431519/2*c**2.
-(c + 1)**2*(c + 927)**2/4
Let j = 9/10 + 73/30. Let l = -2872 + 2874. Suppose -5/3 + j*x - 5/3*x**l = 0. What is x?
1
Solve -51/2*h**3 - 90 - 9/2*h**4 + 519/2*h + 81/2*h**2 = 0 for h.
-5, -4, 1/3, 3
Let w(x) = -x**2 - x + 8. Let v = 65 + -67. Let t(l) = 2*l**2 - l - 9. Let y(s) = v*t(s) - 3*w(s). Solve y(k) = 0 for k.
2, 3
Let f(v) be the first derivative of -99*v**4/2 + 2294*v**3/3 - 646*v**2 + 176*v - 14556. Solve f(a) = 0 for a.
2/9, 4/11, 11
Let z be (-2)/(-30) + -20*16/(-960). Let c(p) be the first derivative of -4 - z*p**5 - 8*p - 26/3*p**3 - 3*p**4 - 12*p**2. Factor c(n).
-2*(n + 1)**2*(n + 2)**2
Suppose 0 = 7*u - 1045 + 534. Let q be u/(-146)*1/(-2). Factor 9/4*d**2 + 7/4*d + 1/2 + 5/4*d**3 + q*d**4.
(d + 1)**3*(d + 2)/4
Suppose 2*z = 4*x, 0 = z - 3*x + 2 - 0. Let d be -14 + 59 + 11256/(-252). Factor -d - 4/3*n**3 - 1/3*n**z - 4/3*n - 2*n**2.
-(n + 1)**4/3
Let q(n) be the first derivative of -n**5/5 - 7*n**4/4 - 4*n**3/3 + 6*n**2 + 1892. Factor q(j).
-j*(j - 1)*(j + 2)*(j + 6)
Let d(z) be the third derivative of z**6/540 - z**5/90 - z**4/12 + 101*z**3/6 + z**2 + 66. Let m(h) be the first derivative of d(h). Factor m(j).
2*(j - 3)*(j + 1)/3
Suppose -9*y - 50 = -11*y + 5*m, 3*y = -5*m + 75. What is p in -15*p**4 + 12*p**4 + y*p**3 - 3*p + 21*p**2 - 18 - 22*p**3 + 0*p**2 = 0?
-2, -1, 1, 3
Factor -15210*a**2 + 8788/3*a**3 + 26325*a - 30375/2.
(26*a - 45)**3/6
Let z(k) be the second derivative of -k**6/10 + 21*k**5/20 - 5*k**4/4 - 7*k**3/2 + 9*k**2 + 1778*k. Determine w so that z(w) = 0.
-1, 1, 6
Factor 2117/4*b**2 - 1/4*b**3 - 280370*b + 279841.
-(b - 1058)**2*(b - 1)/4
Let d be -3*2/(-3) - 0. Suppose 5*j = j + 16, l = -5*j + 22. Solve 10 + l*n**3 - 17 + 7 - 3*n**d + n**4 = 0.
-3, 0, 1
Let i(d) = 0*d**2 + d**2 + 11*d + 7*d - 4*d**2 - 5. Let r(f) = 3*f**2 - 18*f + 4. Let x(g) = 4*i(g) + 5*r(g). Suppose x(w) = 0. What is w?
0, 6
Let k(g) be the third derivative of g**8/126 + 4*g**7/105 + g**6/36 - 4*g**5/45 - g**4/12 + 2*g**3/9 + 562*g**2. Suppose k(s) = 0. What is s?
-2, -1, 1/2
Let l(p) = 10*p**3 + 318*p**2 - 750*p - 1168. Let c(f) = 2*f**3 + 64*f**2 - 150*f - 232. Let w(s) = -22*c(s) + 4*l(s). Factor w(m).
-4*(m - 3)*(m + 1)*(m + 36)
Let j = -19/932 + 1493/4660. Let v(a) be the second derivative of 0*a**3 + 6/5*a**5 + 4/3*a**4 + 0*a**2 - 33*a + j*a**6 + 1/42*a**7 + 0. Factor v(w).
w**2*(w + 1)*(w + 4)**2
Factor 1133 - 27*s - 1209 + 101*s + 2*s**2.
2*(s - 1)*(s + 38)
Let y be 8/36 - (-704)/72 - (9 + 1). What is f in -5/3*f**5 + 5/3*f**3 + 2*f**4 + y*f + 0 - 2*f**2 = 0?
-1, 0, 1, 6/5
Let s(u) be the second derivative of 1/72*u**4 + 8*u - 7/36*u**3 + 0 + 0*u**2. Factor s(x).
x*(x - 7)/6
Let j = 4446 + -4439. Let o(d) be the third derivative of 1/840*d**j + 0*d**4 + 0 - 27*d**2 - 1/240*d**5 + 0*d + 0*d**6 + 0*d**3. Factor o(n).
n**2*(n - 1)*(n + 1)/4
Let d(n) = -31*n - 26. Let m be d(-5). Let h = -124 + m. Factor h*c**4 + 189*c**2 - 100*c**2 - 94*c**2 - 5*c**5 + 5*c**3.
-5*c**2*(c - 1)**2*(c + 1)
Let w be -2 + 8 - 36/16*(-8)/(-6). Suppose -4/5 - 4/5*p**w + 1/5*p**4 + 3/5*