*h**2 + 8/9*h + x*h**3 + 4/9.
(h + 1)*(h + 2)**2/9
Let x(a) be the third derivative of a**6/2160 + a**5/40 + 17*a**4/144 - 13*a**3/2 + 76*a**2. Let p(w) be the first derivative of x(w). Factor p(i).
(i + 1)*(i + 17)/6
Let x(g) = 5*g**3 + 3771*g**2 + 952542*g + 80015013. Let q(m) = -5*m**3 - 3772*m**2 - 952544*m - 80015016. Let b(j) = -9*q(j) - 8*x(j). Factor b(v).
5*(v + 252)**3
Let w(v) = 25726*v + 180084. Let a be w(-7). Find c such that 2/5*c**5 - 6/5*c**4 - 24/5 - 2*c**3 + 6*c**a + 8/5*c = 0.
-2, -1, 1, 2, 3
Let w(t) be the second derivative of t**4/102 - 358*t**3/51 - 39*t + 50. What is v in w(v) = 0?
0, 358
Let z(h) = -h**2 - 18*h + 9. Let d(n) = -n - 36. Let p be d(-18). Let s be z(p). Factor -7*w**2 + 0*w**3 - s*w**2 + 20*w**3 - 4*w**2 - 5*w**4.
-5*w**2*(w - 2)**2
Suppose -8*c = 5*l - 154, -6*l + 30 = 2114*c - 2113*c. Factor 44/9 - 2/9*w**l - 14/3*w.
-2*(w - 1)*(w + 22)/9
Let k be 1 - (-1)/((-3)/33)*-2. Let o be k/18 + ((-6)/27)/(-1). Determine z, given that 9*z - o*z**2 - 15/2 = 0.
1, 5
Let r be 1/(3*3/9)*3. Suppose -r*n + 2*a - 4 = -8*n, -5*n + 5*a + 25 = 0. Factor 6*s + 2 - s**2 + 10*s + 4 - 5*s**n.
-2*(s - 3)*(3*s + 1)
Let d(o) be the third derivative of -o**2 + 0*o**3 - 1/210*o**7 + 0 - 1/1680*o**8 + 1/60*o**5 - 1/200*o**6 - 6*o + 1/30*o**4. Find f, given that d(f) = 0.
-4, -1, 0, 1
Let g be (9/1 + 621/45)*100/210. Factor -4/7*y**2 + 0 - g*y.
-4*y*(y + 19)/7
Suppose 7*p + 55*p - 310 = 0. Let c(i) be the first derivative of 1/34*i**4 + 0*i**2 + 15 + 0*i**3 - 2/85*i**p + 0*i. Factor c(r).
-2*r**3*(r - 1)/17
Let b(u) = u**4 + 46*u**3 - 95*u**2. Let w(a) = a**4 + 24*a**3 - 49*a**2. Let o(j) = -3*b(j) + 5*w(j). Find p, given that o(p) = 0.
0, 4, 5
Suppose f - 46 = -0*f. Let i = f - 42. Factor -9*t**2 - 3*t**2 - 20*t**3 + 61*t**4 + 4*t**5 - 65*t**i.
4*t**2*(t - 3)*(t + 1)**2
Let t(c) = c**3 - 19*c**2 - 93*c + 26. Let j be t(23). Let -2*p + 2*p - 115*p**j + 370*p**3 - 5*p**4 = 0. What is p?
0, 51
Let n be ((-1)/(-6))/((-33)/(-792)). Suppose n*t + 0*t = 8. Solve -4/5*y**t - 20 + 8*y = 0 for y.
5
Let y(p) be the second derivative of 1/20*p**5 + 163*p + 1/2*p**4 + 4*p**2 + 0 + 2*p**3. Factor y(u).
(u + 2)**3
Solve 0 + 2648/3*m - 4/3*m**2 = 0 for m.
0, 662
Let r = 73908 - 73905. Factor 0*w - 4/7*w**4 - 10/7*w**2 + 22/7*w**r + 0.
-2*w**2*(w - 5)*(2*w - 1)/7
Let o(t) be the second derivative of -t**4/60 - 109*t**3/5 - 106929*t**2/10 - 59*t. Solve o(q) = 0.
-327
Factor 48*s**2 + 5*s**3 + 240 - s**3 + 12821*s - 12633*s.
4*(s + 3)*(s + 4)*(s + 5)
Let o = 290436/181535 - -4/36307. Determine l, given that -6/5*l - 2/5*l**3 + 0 - o*l**2 = 0.
-3, -1, 0
Let m be (-32)/(96/(-27)) - (5 - 0). Let t(x) be the first derivative of 3/8*x**m - 2 + 1/2*x**3 + 0*x**2 + 0*x. Factor t(d).
3*d**2*(d + 1)/2
Let n = -15 + 19. Let q = -8127/4 + 4065/2. Solve -q*c**2 + n - 11/2*c = 0 for c.
-8, 2/3
Let p(w) be the first derivative of w**4 - 3320*w**3 + 3095064*w**2 + 12420128*w + 13091. Factor p(l).
4*(l - 1246)**2*(l + 2)
Factor 18 - 1/4*i**2 - 1/4*i.
-(i - 8)*(i + 9)/4
Let f be 1/((-9 - (-160 + 1))*3/2). Let u(v) be the second derivative of 27*v + 0*v**2 + 0*v**3 + 0 - 1/90*v**4 + f*v**6 + 0*v**5. Determine h so that u(h) = 0.
-1, 0, 1
Let a be 54/81*(-15255)/(-12). Let d = a + -847. Factor 1/4*m**3 + d*m + 0 + 3/4*m**2.
m*(m + 1)*(m + 2)/4
Let s(o) be the first derivative of -o**3/7 + 675*o**2/14 + 594*o + 6272. Solve s(q) = 0.
-6, 231
Suppose 3*u + 2 + 13 = -t, 4*t - 10 = 2*u. Suppose t = 8*b - 10*b. Find q such that 15*q**2 + b*q - 2*q - q - 3*q = 0.
0, 2/5
Let u(k) be the first derivative of -135/4*k**4 + 0*k - k**5 - 54 - 405*k**3 - 3645/2*k**2. Factor u(l).
-5*l*(l + 9)**3
Suppose 0 = -4*m + 6*m - 5*l - 29, 3*m - 4*l = 26. Let p be m/((-3)/(-3)) - (-100)/(-80). Determine r, given that 0 + 3/4*r**3 + 3/2*r**2 + p*r = 0.
-1, 0
Suppose 5*m + 664 = -2*v + 3*m, -5*v = 3*m + 1668. Let o = v + 341. Let 15*b**2 + 3/2*b**3 - 27/4*b**o - 63/4*b**4 + 0 + 6*b = 0. Calculate b.
-2, -2/3, 0, 1
Let q(n) be the third derivative of -11/6*n**3 + 7/15*n**4 - 1/300*n**5 + 0*n + 0 - 185*n**2. Factor q(j).
-(j - 55)*(j - 1)/5
Suppose 85*l - 131 = -2*l + 130. Let m(g) be the second derivative of -1/4*g**5 + 0 - 42*g + 0*g**l + 5/6*g**4 + 0*g**2. What is t in m(t) = 0?
0, 2
Let l = -57 - -68. Factor 4*i**3 + 7*i - 11*i - 11*i + l*i**3 + 9*i**2 - 12 + 3*i**4.
3*(i - 1)*(i + 1)**2*(i + 4)
Let g = 156271/12195 - 35/2439. Factor -12/5*r**3 - g - 1/5*r**4 - 96/5*r - 52/5*r**2.
-(r + 2)**2*(r + 4)**2/5
Let x(r) be the third derivative of r**8/112 - 3*r**6/40 + r**5/10 - 313*r**2 - 1. Factor x(k).
3*k**2*(k - 1)**2*(k + 2)
Let a = -225/88 - 39785/616. Let z = a + 2392/35. Factor -3/5*h**4 + 3/5 + 0*h**2 + z*h**3 - 6/5*h.
-3*(h - 1)**3*(h + 1)/5
Let r = 302 - 304. Let y(p) = 65*p**3 - 65*p**2 + 45. Let a(b) = 3*b**3 - 3*b**2 + 2. Let d(h) = r*y(h) + 45*a(h). Suppose d(t) = 0. Calculate t.
0, 1
Let r(o) be the third derivative of o**8/56 + 166*o**7/21 - 93*o**6/20 - 277*o**5/15 + 14389*o**2. Solve r(j) = 0 for j.
-277, -2/3, 0, 1
Let u(f) = -f**2 - 31*f - 82. Let c be u(-3). Let m(q) be the second derivative of 1/66*q**4 + 2/33*q**3 + 0 + 0*q**c - 19*q. Factor m(o).
2*o*(o + 2)/11
Let 447*c**4 - 204240 - 450*c**3 + 204240 + 3*c**5 = 0. Calculate c.
-150, 0, 1
Let w(d) be the second derivative of -3*d + 2/3*d**3 - 1/48*d**4 + 17/8*d**2 + 3. Factor w(z).
-(z - 17)*(z + 1)/4
Let u(p) be the second derivative of -p**7/1680 - 13*p**6/480 - 3*p**5/20 + p**4/3 - 10*p**2 + 40*p. Let j(c) be the third derivative of u(c). Factor j(o).
-3*(o + 1)*(o + 12)/2
Let c = 735 + -735. Suppose 38*t - 40*t + 4 = c. Factor -15/4*q**t + 9/4*q + 0 - 1/4*q**4 + 7/4*q**3.
-q*(q - 3)**2*(q - 1)/4
Let w(x) be the third derivative of -13/15*x**5 + 0*x - 35*x**2 + 3 + 1/30*x**6 - 8/3*x**4 + 56/3*x**3. Factor w(y).
4*(y - 14)*(y - 1)*(y + 2)
Let r = 40 + -23. Let f = r + -15. Factor 6*x**2 + 10*x**2 + 6*x**f - 24*x**2.
-2*x**2
Let d be ((-258)/(-8385)*-52)/(8/(-10)). Suppose 1 - 7/2*f**d - 5/2*f = 0. What is f?
-1, 2/7
Solve -1092*w**2 + 357*w**2 + 2*w**5 - 87*w**2 + 206*w**2 - 104*w**4 + 0*w**5 + 718*w**3 = 0.
0, 1, 7, 44
Let o be 40/32*-4*(-24)/(-30)*(-20)/20. Determine a, given that -12 + 380/3*a**3 + 76*a - 481/3*a**2 - 100/3*a**o = 0.
2/5, 3/2
Let j = 190072/237615 - -4/47523. Factor -1/5*n**4 - 36/5 + j*n + 27/5*n**2 + 6/5*n**3.
-(n - 9)*(n - 1)*(n + 2)**2/5
Factor 23259*n**2 + 3 - 3 + 6381*n**2 + 30420*n - 775*n**3 - 63*n**4 + 68*n**4.
5*n*(n - 78)**2*(n + 1)
Let r(j) be the first derivative of j**5 + 15*j**4/4 - 310*j**3/3 + 240*j**2 + 800*j + 1436. Factor r(n).
5*(n - 4)**2*(n + 1)*(n + 10)
Let g = 528785 - 528785. What is h in -3 + 7/2*h - 1/2*h**3 + g*h**2 = 0?
-3, 1, 2
Let d = -144 + 147. Let b(g) = -2*g**3 + 72*g**2 - 1017*g + 4397. Let c(s) = 2*s**3 - 74*s**2 + 1016*s - 4396. Let f(t) = d*c(t) + 2*b(t). Factor f(p).
2*(p - 13)**3
Let c be (56 + -16)/((-2)/(-3)). Let w = c - 33. Let -11*f**2 - 4226*f - 99*f**3 + 21*f**5 - 22*f**2 - w*f**4 + 4244*f = 0. What is f?
-1, 0, 2/7, 3
Let n(j) = -j**3 + 148*j**2 - j + 1. Let s(i) = -5*i**3 + 1006*i**2 - 829*i + 416. Let r(d) = -4*n(d) + s(d). Factor r(t).
-(t - 412)*(t - 1)**2
Suppose -31 = -30*k + 29. Factor -5 + 0*n**k + 2*n**3 + 18*n - 12*n**2 - 3.
2*(n - 4)*(n - 1)**2
Let p(r) = -9*r**2 + 4352*r + 1581232. Let m(y) = -15*y**2 + 8705*y + 3162463. Let o(s) = -4*m(s) + 7*p(s). Factor o(h).
-3*(h + 726)**2
Let p = -46 + 50. Find i, given that -8*i**2 - 13 + p + 4*i**3 + 9 = 0.
0, 2
Let 59*w**2 + 306/5 - 9*w**3 - 111*w - 1/5*w**4 = 0. Calculate w.
-51, 1, 2, 3
Let v = 477 - 653. Let a be (v/10)/11 + 2. Factor 0 + 4/5*f**2 + a*f**3 + 2/5*f.
2*f*(f + 1)**2/5
Let i(t) be the second derivative of -1/3*t**4 - 56*t**2 + 32/3*t**3 - 20 + 4*t. Factor i(g).
-4*(g - 14)*(g - 2)
Let r(k) be the first derivative of k**7/2940 - k**6/315 + k**5/140 + 19*k**3 + 40. Let d(l) be the third derivative of r(l). Factor d(v).
2*v*(v - 3)*(v - 1)/7
Let p(y) be the first derivative of -243/28*y**4 + 24/7*y + 18*y**3 - 69 + 102/7*y**2. Factor p(v).
-3*(v - 2)*(9*v + 2)**2/7
Let k(d) be the first derivative of d**8/11760 + d**7/5880 - d**6/2520 - d**5/840 - d**3 + 4*d - 64. Let y(r) be the third derivative of k(r). Factor y(n).
n*(n - 1)*(n + 1)**2/7
Let s(f) be the second derivative of f*