)*-4. Factor -4*b**2 + 2*b**2 - 20 - 3*b**k - 8*b - 12*b.
-5*(b + 2)**2
Let i(a) be the third derivative of 2*a**2 + 169*a**3 - 51/40*a**5 - 85*a + 1/80*a**6 + 0 + 39*a**4. Factor i(j).
3*(j - 26)**2*(j + 1)/2
Let s be (32/(-10) + 2/10)/(123/(-205)). Let p(y) = 2*y - 4. Let w be p(3). Factor -2*q**3 - q**s - 10*q**w + 38 - 7*q**5 - 21 + 2*q + 16*q**4 - 15.
-2*(q - 1)**3*(2*q + 1)**2
Suppose 65 = 5*m + 3*o, 4*m = 5*o - 8*o + 55. Find n, given that -45*n - m*n**2 - 15*n + 29 + 22 - 5*n**5 - 11 + 35*n**3 = 0.
-2, 1, 2
Suppose 0 = -58*s + 67*s - 36. Suppose 0 = -2*q + 5*a + 4, -15*q = -17*q + 4*a + s. Factor -1/10*v**q + 0 - 1/10*v**5 + 0*v + 1/10*v**4 + 1/10*v**3.
-v**2*(v - 1)**2*(v + 1)/10
Let j(f) = -1. Let q(a) = a + 8. Let z(r) = -6*j(r) + 3*q(r). Let w be z(-9). Factor v + 0*v - 3*v**2 + v**4 + 6*v**2 - v**w + 4*v**3.
v*(v + 1)**3
Determine k so that -19/2*k**3 + 3/4*k**4 + 89/4*k**2 + 89/2*k + 12 = 0.
-1, -1/3, 6, 8
Let s be (129/(-66) + 2)*4210/25. Let p = s - 82/11. Factor 0*t**2 + p*t**3 + 0 + 9/10*t**4 + 0*t.
t**3*(9*t + 2)/10
Let j(g) be the third derivative of -12*g**2 - 7/108*g**4 + 0 - 1/540*g**5 + g - 13/54*g**3. Solve j(v) = 0 for v.
-13, -1
Let u = -24 + 30. Suppose 11*l + 7 = -2*t + u*l, 2*t = 3*l + 17. Factor 6*i**2 + 33*i - 11*i - t*i**2.
2*i*(i + 11)
Let 51/4*j**2 - 3/4*j**4 + 3/4*j**3 - 27 - 63/4*j = 0. What is j?
-4, -1, 3
Let j = 3526/96291 - 2/823. Let q = 35/117 + j. Factor 1/3*x**4 + 1/3*x - q*x**3 + 0 - 1/3*x**2.
x*(x - 1)**2*(x + 1)/3
Let n(p) = -2*p**4 - 3*p**3 + p**2 - p + 1. Let j(q) = 11*q**4 - 21*q**3 - 38*q**2 + 3*q - 3. Let x(r) = j(r) + 3*n(r). Factor x(t).
5*t**2*(t - 7)*(t + 1)
Let b(c) = -2*c**2 - 6*c - 34. Let l(z) be the first derivative of 4*z**3/3 + 3*z**2 + 33*z - 105. Let t(x) = -3*b(x) - 2*l(x). Factor t(r).
-2*(r - 6)*(r + 3)
Let i = -25 + 43. Let a(w) = w**3 - 10*w**2 + 11*w - 6. Let h be a(9). Factor 36*c + h*c**3 + 22*c**2 - 76*c - i*c**4 - 8 + 32*c.
-2*(c - 1)**2*(3*c + 2)**2
Let m(a) = 5*a**3 + 114*a**2 - 3138*a + 2998. Let f(w) = -7*w**3 - 115*w**2 + 3139*w - 2989. Let x(i) = -3*f(i) - 4*m(i). Let x(b) = 0. What is b?
1, 55
Let b(g) be the second derivative of -g**6/360 + g**5/30 - g**4/8 - 43*g**3/6 - 46*g. Let s(a) be the second derivative of b(a). Determine z so that s(z) = 0.
1, 3
Let c = -269 + 272. Factor 13 + 3*v**2 - 13 - 48*v - c*v.
3*v*(v - 17)
Let w(v) be the third derivative of -v**5/90 + v**4/6 + 40*v**3/9 + 1074*v**2. Factor w(l).
-2*(l - 10)*(l + 4)/3
Find d, given that 26*d**3 + 8*d**2 - 15046*d**5 - 8*d**2 + 28*d**4 + 15048*d**5 = 0.
-13, -1, 0
Let a = 336/10415 + 467331/41660. Suppose 15/4*f**3 + 129/4*f - a - 99/4*f**2 = 0. Calculate f.
3/5, 1, 5
Factor -421 + 166*d - 354 - 2*d**2 + 943.
-2*(d - 84)*(d + 1)
Let u(c) be the third derivative of c**6/840 + 11*c**5/140 + 3*c**4/8 + 91*c**3/6 - 2*c**2 - 43. Let k(n) be the first derivative of u(n). Factor k(g).
3*(g + 1)*(g + 21)/7
Let v = -364 - -742. Let f = v + -378. Determine k so that 2/5*k**3 + 1/5*k + 1/2*k**2 + 1/10*k**4 + f = 0.
-2, -1, 0
Let q(k) be the third derivative of k**7/1050 - 19*k**6/300 + 8*k**5/25 + 48*k**4 + 279*k**2 - k. Factor q(b).
b*(b - 24)**2*(b + 10)/5
Let p be (1315/(-219) - -6)*1. Let w = 151/1095 + p. Solve 2/15*b**2 + w*b - 2/15*b**3 + 0 - 2/15*b**4 = 0 for b.
-1, 0, 1
Let z be 5/(3/(-12)*-1). Suppose 21*g = z*g + 2. Determine j so that 5*j**4 + 20*j**3 + g + 2*j**5 + 0*j**4 + 20*j**2 + 9*j**4 + 10*j - 4*j**4 = 0.
-1
Let t(b) be the first derivative of -6348*b + 132 - 19*b**2 - 2*b**3 + 4*b**3 + b**3 - 4*b**3 - 119*b**2. Determine q so that t(q) = 0.
-46
Let a(d) be the second derivative of -1/18*d**4 - 1600/3*d**2 + 0 + 80/9*d**3 - 40*d. What is h in a(h) = 0?
40
Let n(l) = 3*l**2 - 3*l - 1. Let z(w) = 35*w**2 + 3155*w - 10. Let u(s) = 10*n(s) - z(s). Factor u(y).
-5*y*(y + 637)
Let g(x) = 3*x**2 - 8*x - 7. Let i be g(4). Factor -1255*o**4 - 4*o**5 + 40*o**3 + 1285*o**4 + i*o**5.
5*o**3*(o + 2)*(o + 4)
Suppose 38*r - 7*r - 3317 = 0. Let d = 322/3 - r. Factor d*l**3 + 0 + 4/3*l**2 + 4/3*l.
l*(l + 2)**2/3
Suppose 2*k + 352 = 13*k. Factor 840*g + 95*g**2 + 58*g**2 + 14*g**2 - k*g**2 - 980 + 5*g**3.
5*(g - 1)*(g + 14)**2
Let j(b) be the third derivative of -29*b**2 - 17/30*b**5 + 0*b + 13/60*b**6 - 5/6*b**3 + 7/8*b**4 + 0 + 1/336*b**8 - 3/70*b**7. Factor j(o).
(o - 5)*(o - 1)**4
Let v(q) = 78*q - 218. Let t be v(6). Let x = -104 + t. Let -88/3*r + 126*r**4 - 44/3*r**2 + 16/3 + x*r**3 = 0. What is r?
-1, -2/3, 2/9, 2/7
Suppose 3*u = -5*x + 64, -27278*x - 2*u = -27274*x - 44. Let 288/7*f**x + 54/7*f - 432/7 + 92/7*f**3 + 0*f**4 - 2/7*f**5 = 0. Calculate f.
-3, 1, 8
Let l(g) = 267*g + 36. Let f be l(6). Determine z so that -4*z**2 - 2*z + f*z**3 + 5*z**2 - 1637*z**3 = 0.
-2, 0, 1
Let b = 721546/5 + -144309. Suppose b*z**3 + 0 - 1/5*z**2 + 0*z = 0. What is z?
0, 1
Let c = -1071923/42 - -25522. Let h(a) be the third derivative of 0*a + 0 + 37*a**2 + c*a**4 + 11/420*a**5 + 2/735*a**7 - 19/840*a**6 + 0*a**3. Factor h(o).
o*(o - 4)*(o - 1)*(4*o + 1)/7
Suppose 3*f - 30 = -0. Let c be ((-8)/10)/((-4)/f). Find g such that -35*g**c - 80*g - 9*g**3 + 4*g**3 - 60 + 0*g**3 = 0.
-3, -2
Let x = -117 - -131. Find m such that -10 - 130*m**2 + 27*m - 138*m - x*m + 15*m**2 = 0.
-1, -2/23
Suppose 4*r = 38*r - 3774. Factor -3*m**4 + 2*m + 0*m**3 - 6*m**2 - 2*m**3 + 5*m**4 - 107 + r.
2*(m - 2)*(m - 1)*(m + 1)**2
Factor 2445*k**2 - 1222*k**2 + 13*k - 1222*k**2 - 14.
(k - 1)*(k + 14)
Let o(d) = 18*d**2 - 53*d - 45. Let j(k) = -8*k**2 - 25*k - 11. Let i(q) = 2*q**2 + 2*q. Let w(a) = 6*i(a) + j(a). Let g(b) = 6*o(b) - 26*w(b). Factor g(h).
4*(h + 1)*(h + 4)
Let p(d) = d**2 - 23*d - 47. Let z be p(25). Factor 12*g**3 + 1152 - 1056*g - 42*g**z + 16*g**2 + 3*g**4 - 24*g**3 + 344*g**2.
3*(g - 6)*(g - 4)**3
Let v(j) be the first derivative of 83*j**3/6 + 251*j**2/4 + 3*j + 3639. Factor v(p).
(p + 3)*(83*p + 2)/2
Factor 24/7*y - 6/7*y**3 - 9/7*y**2 + 3/7*y**4 - 12/7.
3*(y - 2)*(y - 1)**2*(y + 2)/7
Let a(w) be the second derivative of w**7/42 - w**6/24 - w**5/2 + 39*w**2 + 9*w. Let x(k) be the first derivative of a(k). Determine f so that x(f) = 0.
-2, 0, 3
Factor -492 - 2497*n**3 + 2493*n**3 + 20*n - 144*n + 64*n**2 - 564.
-4*(n - 11)*(n - 8)*(n + 3)
Let b(x) = -23*x**2 - 643*x - 50436. Let q(p) = 20*p**2 + 642*p + 50454. Let l(o) = 6*b(o) + 7*q(o). Factor l(v).
2*(v + 159)**2
What is n in -3/8*n**2 + 513/8 - 255/4*n = 0?
-171, 1
Let -366/19*g**2 - 3298/19*g - 36/19 = 0. What is g?
-9, -2/183
Let y(x) = 19*x - 22*x - 10 - 72*x**2 + 52*x + 140*x**2 - 72*x**2. Let k be y(12). Suppose 0*g**3 + 0 + 1/5*g + 1/10*g**4 - 3/10*g**k = 0. Calculate g.
-2, 0, 1
Let g(c) be the third derivative of 2*c**7/105 + 8*c**6/15 + 13*c**5/3 + 19*c**4/3 - 80*c**3 - 2*c**2 + 2*c + 179. Find l such that g(l) = 0.
-10, -4, -3, 1
Let d(g) be the third derivative of g**6/840 + 82*g**5/105 - 55*g**4/14 - 3*g**2 - 183*g - 1. Factor d(k).
k*(k - 2)*(k + 330)/7
Let q(y) be the second derivative of y**6/90 - 19*y**5/45 + 17*y**4/9 + 45*y**2/2 - 5*y + 9. Let z(h) be the first derivative of q(h). Factor z(p).
4*p*(p - 17)*(p - 2)/3
Let w(q) = -19*q**5 - 29*q**4 + 71*q**3 - 5*q**2 - 64*q + 46. Let x(f) = 4*f**5 - f**4 - f**3 - f - 1. Let u(g) = w(g) + 6*x(g). Solve u(z) = 0.
-1, 1, 2, 4
Find c such that -2/3*c**4 + 4*c**3 - 52/3*c - 2*c**2 + 16 = 0.
-2, 1, 3, 4
Let o(f) be the second derivative of 48/5*f**5 - 2*f - 2*f**6 + 43/10*f**3 + 19 - 3/5*f**2 - 261/20*f**4. Find v such that o(v) = 0.
1/10, 1, 2
Let c(s) be the first derivative of 1/4*s**3 - 9/2*s - 93 + 3/8*s**2. Factor c(t).
3*(t - 2)*(t + 3)/4
Let u = 136201 + -136199. Find l such that -4/3*l - 1 - 1/3*l**u = 0.
-3, -1
Let r = -981 + 1462. Factor -3*f**3 - 48*f**2 + 98*f - 3*f + r*f + 4*f**3.
f*(f - 24)**2
Let m(n) = 55*n**2 + 3535*n + 30. Let b(p) = -2*p**2 + 15*p - 1. Let t(u) = 30*b(u) + m(u). Factor t(x).
-5*x*(x - 797)
Let v(n) = n**3 + 5*n**2 + 3*n - 2. Let g be -1*(-2 - -4)/(4/8). Let b be v(g). Factor 8*p**4 + 2*p**3 - 16*p**3 + 10*p**2 - b*p**4 - 2*p + 0*p.
2*p*(p - 1)**2*(3*p - 1)
Let s(i) be the third derivative of -i**6/24 + 343*i**5/6 - 73100*i**4/3 - 591680*i**3/3 + 35*i**2 + 5. Determine k so that s(k) = 0.
-2, 344
Let d(s) be the second derivative of 2*s**7/21 + 16*s**6/5 + 44*s**5/5 - 