3*h - 6 = j, 2*j = -3*h - 9. Let l be y(j). Factor l*b**3 + 0 + 3/4*b**5 - b**2 + 11/4*b**4 + 0*b.
b**2*(b + 2)**2*(3*b - 1)/4
Let y be ((-585)/(-104))/45*24. Factor 152/7*h**2 + 32/7 - 4/7*h**5 - 100/7*h**y + 32/7*h**4 - 16*h.
-4*(h - 2)**3*(h - 1)**2/7
Let g be 250/65 + -4 + 684/52. Let x be (g - 13)/(-2 - -1). What is r in -4/5*r + 2/5*r**2 + x = 0?
0, 2
Let v(y) be the third derivative of 1/168*y**8 + 0*y + 0*y**3 - 11/20*y**5 + 139*y**2 + 3/8*y**4 - 1/14*y**7 + 0 + 37/120*y**6. Factor v(s).
s*(s - 3)**2*(s - 1)*(2*s - 1)
Let i be (-124)/(-14)*5061/7230 - (-3 - -2)*-6. Determine u, given that 1/5*u**3 + 4/5 - i*u - 4/5*u**2 = 0.
-1, 1, 4
Suppose -1121 = -14*x - 1079. Let m(v) be the second derivative of -17*v + 8/3*v**x - 7/5*v**5 + 0*v**2 + 0 - 4*v**4. Factor m(t).
-4*t*(t + 2)*(7*t - 2)
Suppose 58 = -18*f + 148. Suppose -5*n - f*h + 35 = 0, -5*n = -n - 5*h + 8. Factor 0*i + 2/5*i**5 + 0*i**4 + 0 + 0*i**2 - 2/5*i**n.
2*i**3*(i - 1)*(i + 1)/5
Let m(d) be the second derivative of -6*d**2 + 0 - 56*d + 1/15*d**6 + 5/6*d**4 + 5/3*d**3 - 1/2*d**5. Solve m(u) = 0 for u.
-1, 1, 2, 3
Let r = -594285 + 12479987/21. Find l such that -6/7*l**2 - r*l**4 - 2/3*l + 20/21 + 2/3*l**3 = 0.
-1, 1, 2, 5
Let w(n) = 10*n**3 + 117*n**2 + 116*n + 49. Let b(m) = -2*m**3 + 3*m**2 + m + 1. Let v(a) = -8*b(a) + w(a). Factor v(i).
(i + 1)**2*(26*i + 41)
Suppose 11*n - 23581 = -5*m + 12*n, -23582 = -5*m + 2*n. Factor -4*j**3 + 4704*j**2 - 4*j - 4*j**3 - m*j**2.
-4*j*(j + 1)*(2*j + 1)
Suppose -20*w + 11 = 111. Let n be 7 + -3 - (w - 14/(-2)). Solve 12/13*f**n + 8/13 + 18/13*f + 2/13*f**3 = 0 for f.
-4, -1
Let a(v) be the second derivative of -v**7/21 + 2*v**6/15 + 2*v**5/5 - 4*v**4/3 + 185*v. Factor a(r).
-2*r**2*(r - 2)**2*(r + 2)
Solve 78 - 290*j - 171 - 150 + 200*j - 3*j**2 = 0 for j.
-27, -3
Let t(h) = 2*h**2 + 61*h + 33. Let q be t(-12). Let s = 414 + q. Let 0 + 8/11*w + 16/11*w**2 + 2/11*w**4 + 10/11*w**s = 0. Calculate w.
-2, -1, 0
Let f = 101107/303330 + 1/101110. Factor -2/3 + 0*u**2 + u - f*u**3.
-(u - 1)**2*(u + 2)/3
Factor 186*x**2 + 100 - 432*x - 49*x**2 - 90*x**4 + 174*x**2 + 24*x**3 - 4 + 21*x**5 + 25*x**2.
3*(x - 2)**3*(x + 2)*(7*x - 2)
Suppose 2*n = 3*a + 31, 8*a = 4*n + 4*a - 60. Suppose 3*p - n = p - 2*r, -9 = -2*p - r. Factor -3/5*w**p + 3/5 - 6/5*w**3 + 6/5*w.
-3*(w - 1)*(w + 1)*(2*w + 1)/5
Let g(k) be the third derivative of k**7/70 + k**6/20 - 3*k**5/5 + 7*k**4/4 - 5*k**3/2 - 299*k**2. Factor g(d).
3*(d - 1)**3*(d + 5)
Let f(d) be the second derivative of d**7/168 + 13*d**6/60 + 229*d**5/80 + 223*d**4/12 + 190*d**3/3 + 104*d**2 - 2821*d. Solve f(w) = 0 for w.
-13, -4, -1
Suppose -3 = -3*z - 2*l + 6, -3 = -z + 4*l. Determine a, given that 543*a**z - 250*a + 470*a**3 - 15*a**4 - 275*a**2 - 873*a**3 = 0.
-2/3, 0, 5
Let p(n) be the third derivative of -32*n**2 + 0*n - 1/80*n**5 - 5/2*n**3 + 0 + 21/32*n**4. Factor p(v).
-3*(v - 20)*(v - 1)/4
Suppose -5*o = 8*l - 10*l + 119, 4*l - 5*o - 243 = 0. Suppose 66*d = l*d. Determine m so that d - 1/2*m**3 + 2*m + 1/2*m**4 - 2*m**2 = 0.
-2, 0, 1, 2
Let a(k) = k**2 - 15*k - 30. Let n = 18 - 0. Let q be a(n). Factor -12*l**2 - 17*l**2 + 5 + q*l**2.
-5*(l - 1)*(l + 1)
Factor -1797 - 175 - 5*t**2 + 372*t - 1348 + 9*t**2 - 8*t**2.
-4*(t - 83)*(t - 10)
Let a(n) be the second derivative of n**4/20 + 3*n**3/2 - 30*n**2 - 4712*n. Factor a(f).
3*(f - 5)*(f + 20)/5
Let w(t) be the first derivative of -t**3/3 + 319*t**2 + 2464. Find x such that w(x) = 0.
0, 638
Let o(m) be the third derivative of -m**7/420 - 25*m**6/8 - 142117*m**5/120 - 46625*m**4/4 - 139129*m**3/3 - 2422*m**2. Factor o(d).
-(d + 2)**2*(d + 373)**2/2
Factor -385*n**3 + 194*n**3 + 4799*n + 46*n**2 + 195*n**3 + 164*n**2 - 2027*n + 1334.
2*(n + 23)*(n + 29)*(2*n + 1)
Determine f so that 22*f**2 - 53/3*f**3 + 0 + 0*f - 38/9*f**4 - 1/9*f**5 = 0.
-33, -6, 0, 1
Let r(u) be the third derivative of -u**6/360 + 23*u**5/180 - 5*u**4/18 - 22*u**3/9 - 22*u**2 - 25. What is s in r(s) = 0?
-1, 2, 22
Solve -48*b**4 + 20*b**2 + 28*b**4 - 367*b**5 - 24*b + 20*b**3 + 371*b**5 = 0 for b.
-1, 0, 1, 2, 3
Suppose -230 + 486 = 8*k. Suppose -23 = 3*d - k. Suppose 2/11*h**d - 6/11*h**2 + 6/11*h**4 - 4/11*h + 2/11*h**5 + 0 = 0. Calculate h.
-2, -1, 0, 1
Let k(f) be the second derivative of f**7/3150 + f**6/600 + f**5/300 - 137*f**4/6 + 6*f - 29. Let s(t) be the third derivative of k(t). What is u in s(u) = 0?
-1, -1/2
Let r be 70/(-147)*332/30. Let a = r + 50/9. Factor -2/7*c**3 + 0 + 4/7*c + a*c**2.
-2*c*(c - 2)*(c + 1)/7
Let w(k) be the third derivative of k**7/105 + 43*k**6/60 - 61*k**5/10 + 233*k**4/12 - 94*k**3/3 + 4924*k**2. Factor w(x).
2*(x - 2)*(x - 1)**2*(x + 47)
Let g(z) = -7*z**2 + z - 1. Let r(f) = 48*f**2 + 108*f + 7. Let c(m) = 7*g(m) + r(m). Factor c(j).
-j*(j - 115)
Suppose 0*h + 40 = n - 3*h, 2*h - 90 = -4*n. Let 0*p + 10*p**3 - n*p**4 + 25*p**3 - 20*p + 40*p**2 = 0. What is p?
-1, 0, 2/5, 2
Factor 242/5*o**3 + 2486/5*o**2 - 1904/5*o + 352/5.
2*(o + 11)*(11*o - 4)**2/5
Let y(x) be the third derivative of x**7/42 + x**6/2 + 35*x**5/12 + 5*x**4 + 9*x**2 + x - 67. Determine m, given that y(m) = 0.
-8, -3, -1, 0
Let v be ((-64)/1632*-51)/10. Find z such that 0*z + v*z**2 + 0 = 0.
0
Let g = -9488 + 9495. Let t(a) be the third derivative of 0 - a**4 + 1/21*a**8 - 6/35*a**g + 1/15*a**6 - 2*a**2 + 8/15*a**5 + 0*a + 2/3*a**3. Factor t(x).
4*(x - 1)**3*(x + 1)*(4*x - 1)
Let t(a) = -a**3 + 31*a**2 - 40*a - 40. Let j(l) = 21*l**2 - 42*l - 39. Let r(q) = -4*j(q) + 3*t(q). Factor r(o).
-3*(o - 6)*(o + 1)*(o + 2)
Let v(p) = p**4 + 4*p**3 + p**2 + 2*p + 1. Let r(s) = 5*s**4 + 28*s**3 + 6*s**2 - 4*s + 22. Let w(k) = -r(k) + 6*v(k). Factor w(g).
(g - 2)**3*(g + 2)
Let d = -40491/442 - -1558/17. Let c(j) be the second derivative of d*j**4 + 1/130*j**5 + 0*j**2 - 6*j + 0 + 2/39*j**3. Suppose c(w) = 0. What is w?
-2, -1, 0
Let h(g) be the first derivative of -g**3/9 - 379*g**2/3 + 253*g - 3825. Factor h(k).
-(k - 1)*(k + 759)/3
Factor -480/7 - 4/7*v**3 - 44*v + 24*v**2.
-4*(v - 40)*(v - 3)*(v + 1)/7
Let b be (62/32)/((-2844)/(-11376)). Factor 7/4*h**4 - b*h - 5/4*h**3 - 3/2 - 37/4*h**2.
(h - 3)*(h + 1)**2*(7*h + 2)/4
Factor -58/15*k + 2/15*k**2 + 36/5.
2*(k - 27)*(k - 2)/15
Suppose 132*f - 128*f - 6 = 2*w, -18 = -2*w - 4*f. Let p be 246/90 + w + (-2)/5. Factor -6*h - 2/3*h**2 - p.
-2*(h + 1)*(h + 8)/3
Let h(z) = -38*z - 228. Suppose -s = -q + 5, 5*q + 23 = 19*s - 22*s. Let o be h(s). Determine b, given that 8/17 - 2/17*b**2 + o*b = 0.
-2, 2
Let u(m) be the second derivative of -3/4*m**4 + 3*m**2 + 0 - 3/20*m**5 + 1/10*m**6 + 45*m + 1/2*m**3. Solve u(v) = 0 for v.
-1, 1, 2
Let j(v) be the third derivative of -v**5/30 - 207*v**4/16 + 39*v**3 + v**2 - 425*v + 6. Solve j(k) = 0 for k.
-156, 3/4
Let r(f) be the second derivative of -2*f**6/15 - f**5/5 + 19*f**4 - 90*f**3 - f + 1123. Factor r(b).
-4*b*(b - 5)*(b - 3)*(b + 9)
Solve -18*r**2 - 39/7 - 3/7*r**4 + 48/7*r**3 + 120/7*r = 0.
1, 13
Let f(y) be the first derivative of -1/27*y**6 + 60 - 8/45*y**5 + 4/27*y**3 + 4/9*y - 2/9*y**4 + 5/9*y**2. Find h, given that f(h) = 0.
-2, -1, 1
Let s(t) be the second derivative of t**7/280 - 7*t**6/120 + 2*t**5/5 - 3*t**4/2 + 38*t**3/3 + 64*t. Let r(v) be the second derivative of s(v). Factor r(y).
3*(y - 3)*(y - 2)**2
Let f be (-4)/10 + (-320)/(-50) + -3. Factor -12*j**4 - j**f + 9*j**4 + j**3 + 12*j - 12*j**3 - 9*j**2 + 12.
-3*(j - 1)*(j + 1)*(j + 2)**2
Let m(c) = 4*c**3 + 20*c**2 - 60*c - 24. Let x be m(-7). Factor -2/5*t**x - 6*t**2 + 0 - 14/5*t - 18/5*t**3.
-2*t*(t + 1)**2*(t + 7)/5
Let x(y) be the second derivative of -7/60*y**5 - 92*y + 4/3*y**2 + 5/6*y**4 - 2*y**3 + 0. Factor x(u).
-(u - 2)**2*(7*u - 2)/3
Factor -v**3 - 226*v**2 + 5*v**3 - 25*v**3 - 224*v + 22*v**3 - 3*v**3.
-2*v*(v + 1)*(v + 112)
Let u(v) = v**3 - 8*v**2 - v + 11. Let j be u(8). Determine y so that j*y**5 - 2*y + 7*y + 15*y**4 + 9*y**3 - 15*y**2 - 17*y = 0.
-4, -1, 0, 1
Let -208*v - 24*v**4 - 110 + 11*v**4 + 16*v**3 + 15*v**4 - 2533*v**2 + 2449*v**2 = 0. Calculate v.
-11, -1, 5
Let l(h) be the third derivative of 32*h**7/245 - 2*h**6/7 - 111*h**5/140 + 31*h**4/56 - h**3/7 + 408*h**2. Solve l(o) = 0 for o.
-1, 1/8, 2
Let r(k) = 5*k**3 - k**2 - k. Let x(i) = -2*i**4 + 304*i**3 + 1996*i**2 + 4020*i + 2688. Let w(d) = 4*r(d) 