tive of 0 - 27/2*f**2 + 15*f - 1/30*f**p + 1/2*f**5 + 9*f**3 - 3*f**4. Factor v(g).
-(g - 3)**3*(g - 1)
Let z(s) = -2*s**3 - 764*s**2 - 72182*s + 147452. Let v(c) = 12*c**3 + 4584*c**2 + 433087*c - 884710. Let f(p) = 2*v(p) + 13*z(p). Factor f(k).
-2*(k - 2)*(k + 192)**2
Let q(t) = -t**3 - 3*t**2 + 2408*t + 7230. Let z be q(-3). Suppose 43/7*h - 1/7*h**2 - z = 0. What is h?
1, 42
Let f = -45 - -44. Let d be ((-12)/20)/(f + (-18)/(-20)). Factor 3*m**2 - d*m - 314 + 314.
3*m*(m - 2)
Let d = 1052426/7 + -149680. Let m = d + -666. Factor m*j - 1/7*j**3 + 1/7*j**2 - 4/7.
-(j - 2)*(j - 1)*(j + 2)/7
Let a(d) = -2*d**3 + 13*d**2 + 9*d + 16. Let q be a(7). Factor -75*y - 28244 - 3*y**3 + 28244 - q*y**2.
-3*y*(y + 5)**2
Suppose -20 = -2*q - 3*z, 46*z = q + 45*z. Let s(k) be the second derivative of 10*k**2 + 0 - 8/3*k**3 - 33*k - 1/3*k**q. What is o in s(o) = 0?
-5, 1
Let a(b) be the third derivative of -b**7/945 + 8*b**6/135 + 8*b**5/15 + 1479*b**2. Factor a(z).
-2*z**2*(z - 36)*(z + 4)/9
Suppose -5*b = 2*j - 360, -22*j + 25*j + 72 = b. Factor -b*r + 0*r**2 - 50 + 4*r**2 - 46 + 20.
4*(r - 19)*(r + 1)
Let j(n) = 3*n**4 - 71*n**3 + 57*n**2 + 22*n + 11. Let x(q) = q**4 - 24*q**3 + 19*q**2 + 8*q + 4. Let i(b) = 4*j(b) - 11*x(b). Factor i(h).
h**2*(h - 19)*(h - 1)
Let q(f) be the third derivative of f**6/144 - 41*f**5/180 + 17*f**4/9 - 8*f**3/3 + 1598*f**2. Factor q(r).
(r - 12)*(r - 4)*(5*r - 2)/6
Let z(r) = -11*r**2 + 10*r + 9. Let q = 123 + -122. Let d(f) = f**2 + 1. Let g(t) = q*z(t) + 6*d(t). Solve g(s) = 0 for s.
-1, 3
Let f(c) = 3068*c - 12269. Let y be f(4). Factor -3/4*o**2 - 3 + y*o.
-3*(o - 2)**2/4
Factor -244/5*o - 4/5*o**2 - 48.
-4*(o + 1)*(o + 60)/5
Let r(n) be the third derivative of 0 - 1/36*n**4 + 2*n + 0*n**3 - 1/630*n**5 + 32*n**2. Find v such that r(v) = 0.
-7, 0
Let t(n) be the third derivative of 0*n - 1/4*n**4 + 3/80*n**6 + 1/140*n**7 + 0*n**5 + 3 + 0*n**3 - 5*n**2. Factor t(s).
3*s*(s - 1)*(s + 2)**2/2
Suppose -o - 2417*f + 96 = -2423*f, -64 = -4*o + 4*f. Solve o + 2/13*g**3 - 10/13*g**2 + 12/13*g = 0 for g.
0, 2, 3
Let f = -11 - -10. Let m = 10 - -8. Let i(l) = l**3 - l + 1. Let t(q) = 21*q**3 - 6*q**2 - 15*q + 18. Let g(w) = f*t(w) + m*i(w). Factor g(r).
-3*r*(r - 1)**2
Let u(o) = 0*o**2 - 3*o**2 - 27 + 13 + 16*o**2 - 3*o**2 + 78*o. Let q be u(-8). Solve 0*g**3 - 3/2*g + 0 + 3/4*g**4 - 9/4*g**q = 0.
-1, 0, 2
Let p(y) = -250*y + 118. Let g be p(4). Let v = -877 - g. Let 0 + v*c**3 + 25*c**2 + 125/3*c + 1/3*c**4 = 0. Calculate c.
-5, 0
Let -20839*f - 44*f**3 + 56 - 4*f**4 + 90*f**2 + 20675*f + 66*f**2 = 0. What is f?
-14, 1
Let b be 5/(-2)*(-12396)/46485. Determine u so that 2/3*u**5 - 4/3*u + 0 + b*u**3 - 2*u**2 + 2*u**4 = 0.
-2, -1, 0, 1
Factor 196*l**2 - 103*l**4 + 828*l**3 + 461*l - 396 - 47*l**4 - 1810*l**2 + 3*l**5 + 433*l + 435*l.
3*(l - 44)*(l - 3)*(l - 1)**3
Let x(d) be the second derivative of -d**8/6720 - d**7/315 + d**6/80 - 11*d**4/12 + 3*d - 1. Let o(m) be the third derivative of x(m). Factor o(i).
-i*(i - 1)*(i + 9)
Let s(n) be the second derivative of -n**5/20 + 5*n**4/2 - 88*n**3/3 + 2055*n. Find y such that s(y) = 0.
0, 8, 22
Let b(g) be the third derivative of -g**8/112 + 69*g**7/35 - 1083*g**6/10 - 7346*g**5/5 - 7632*g**4 - 20736*g**3 - 1238*g**2. Factor b(i).
-3*(i - 72)**2*(i + 2)**3
Let y(d) = 3*d**2 + 103*d + 84. Let j(k) = -28 - 4407*k**2 - 54*k + 4406*k**2 + 19*k. Let m(u) = -8*j(u) - 3*y(u). Determine w, given that m(w) = 0.
-28, -1
Let v be 189/(-15) - 91/65. Let k be 157/44 - (v - 912/(-66)). Factor 3/4*l**4 + 3/2 - k*l**3 + 27/4*l**2 - 21/4*l.
3*(l - 2)*(l - 1)**3/4
Let b = 219547/65865 - -1/21955. Determine h, given that -5/3*h**2 + b + 5/3*h = 0.
-1, 2
Let j(d) be the third derivative of 7*d**6/2160 + d**5/30 + d**4/16 - 49*d**3/2 + 158*d**2. Let w(p) be the first derivative of j(p). Factor w(y).
(y + 3)*(7*y + 3)/6
Factor 12/7*c**2 - 4/7*c**4 + 0*c + 0 - 8/7*c**3.
-4*c**2*(c - 1)*(c + 3)/7
Determine z, given that -81 - 1/4*z**2 + 15*z = 0.
6, 54
Let j(g) = -2*g**2 - 38*g + 8. Suppose -4*t + 0*o = 3*o - 35, 5*t - 36 = 4*o. Let w(h) = -h**2 - 26*h + 5. Let z(u) = t*w(u) - 5*j(u). Factor z(s).
2*s*(s - 9)
Let q(m) be the third derivative of 2/255*m**5 + 0*m**3 - 1/68*m**4 + 0*m - 1/1020*m**6 + 2 - 4*m**2. Factor q(z).
-2*z*(z - 3)*(z - 1)/17
Suppose -17*b + 19*b = 6. What is m in -6 - 5 - 4*m**2 + 5*m**2 - 2*m + b = 0?
-2, 4
Let h(m) be the second derivative of 5*m**4/12 + 407*m**3/6 - 123*m**2 - 37*m - 9. Let h(y) = 0. What is y?
-82, 3/5
Let f = -417 - -486. Suppose -9*k - 69*k**5 - f*k**5 + 51*k**3 + 110*k**2 - 467*k**5 + 549*k**3 - 110*k**4 + 14*k = 0. What is k?
-1, -1/11, 0, 1
Let a(j) = 17 + 8*j**2 - 2 - 2*j**3 - 3*j**3 - 20*j**2 - 3 + 2*j. Let l(r) = r**2 - r - 1. Let i(c) = -a(c) + 3*l(c). Find d, given that i(d) = 0.
-3, -1, 1
Let -11174 + 5260*c + 445*c**3 - 11084 - 3550*c**2 + 22378 = 0. Calculate c.
-2/89, 2, 6
Let i(z) be the third derivative of z**7/210 + 193*z**6/30 + 73331*z**5/30 - 75077*z**4/2 + 453963*z**3/2 - 6274*z**2. Factor i(n).
(n - 3)**2*(n + 389)**2
Let f = 1352/5065 - -540/1013. Determine y, given that 32/5*y + 24*y**2 - f - 896/5*y**3 - 196*y**4 = 0.
-1, -1/5, 1/7
Factor 650/9*x**2 + 1306/9*x - 2/9*x**3 + 218/3.
-2*(x - 327)*(x + 1)**2/9
Suppose 0 = -16*d + 21*d - 250. Let a = d + -45. Find n, given that -8*n**4 - 4*n**2 + 30*n**3 + 3*n**4 - 16 + 25*n**4 - 32*n + 4*n**a - 2*n**3 = 0.
-2, -1, 1
Let u(t) be the first derivative of 100/3*t**3 + 71 + 6*t**4 + 16*t + 56*t**2. Suppose u(b) = 0. What is b?
-2, -1/6
Let j(p) be the first derivative of -p**6/200 + 2*p**5/25 + 19*p**4/40 + p**3 - 107*p**2 - 57. Let y(b) be the second derivative of j(b). Factor y(w).
-3*(w - 10)*(w + 1)**2/5
Suppose r + r - 8 = -3*y, -4*y - 4*r + 12 = 0. Let p be (2 + -1)/(68/32 - y). Factor 6*i - 2*i**2 + 0*i**2 + 7 - 7 + p.
-2*(i - 4)*(i + 1)
Let p(u) be the second derivative of u**4/4 + 981*u**3 + 2887083*u**2/2 - 116*u. Factor p(r).
3*(r + 981)**2
Let h be 1768 + (8/(-24))/((-2)/30). Let t = -1771 + h. Factor -1/8*z + 0 + 1/8*z**t.
z*(z - 1)/8
Suppose 2*q + 335 - 359 = -u, -2*q + 24 = 0. Factor -1/3*r**4 + 8/3*r**2 + u + 0*r - 2/3*r**3.
-r**2*(r - 2)*(r + 4)/3
Let j be (-6)/39 + 15867/5031. Let 1/8*r**j + 0*r - 1/4*r**2 + 0 = 0. What is r?
0, 2
Suppose -g = 2*p, 4*g - 3 - 19 = 3*p. Let i be (80/24)/((-5)/p). Let -20/3*o + 25/3*o**2 + i = 0. Calculate o.
2/5
Let k(n) = -5*n**2. Let a(q) = 104*q**2 - 9776*q + 5973136. Let l(b) = a(b) + 20*k(b). What is t in l(t) = 0?
1222
Let n be 1/2*285*15904/139160. Factor 2/7*s**3 - 4*s**2 + n*s - 144/7.
2*(s - 8)*(s - 3)**2/7
Let z = 460 + -439. Determine x, given that -5*x + 3 + 768*x**2 - 385*x**2 + z - 384*x**2 = 0.
-8, 3
Let l(g) be the second derivative of 5*g**7/84 + g**6/4 - 5*g**4/6 - 113*g + 2. Factor l(u).
5*u**2*(u - 1)*(u + 2)**2/2
Let g(p) be the first derivative of -p**7/2100 + 7*p**6/180 - 24*p**5/25 - 27*p**4/5 - 13*p**3/3 + 50. Let d(y) be the third derivative of g(y). Factor d(z).
-2*(z - 18)**2*(z + 1)/5
Let i(n) be the first derivative of -n**6/360 + n**5/36 + n**4/12 - 27*n**2 - 20. Let v(c) be the second derivative of i(c). Factor v(o).
-o*(o - 6)*(o + 1)/3
Find s, given that -24*s + 2560/9 - 4/9*s**2 = 0.
-64, 10
Let n(j) = -10*j**3 + 29*j**2 + j - 98. Let y(m) = -37*m**3 + 115*m**2 + 5*m - 394. Let l(v) = 22*n(v) - 6*y(v). Factor l(f).
2*(f - 26)*(f - 2)*(f + 2)
Let c be 8/(-6)*3/5*5/(-240). Let q(r) be the second derivative of 121/10*r**2 + 11/15*r**3 + 0 + c*r**4 - 20*r. Let q(p) = 0. What is p?
-11
Let i(f) = f**2 + 2827*f + 498475. Let b(p) = 3*p**2 + 5653*p + 996937. Let w(h) = 3*b(h) - 5*i(h). Determine m so that w(m) = 0.
-353
Let p(x) be the second derivative of 204*x - 2/15*x**3 + 2/15*x**4 + 1/150*x**6 + 0 - 1/20*x**5 + 0*x**2. Factor p(s).
s*(s - 2)**2*(s - 1)/5
Factor -6*v**3 - 16/7*v**4 - 1/7*v**5 - 13/7*v + 0 - 40/7*v**2.
-v*(v + 1)**3*(v + 13)/7
Factor -284/7*i + 285/7 - 1/7*i**2.
-(i - 1)*(i + 285)/7
Let -385/2*m + 95 + 5*m**2 = 0. What is m?
1/2, 38
Suppose -27 + 7 = -10*f. Find v, given that 424*v - 434*v - 3*v**2 + 5*v**f + 12 = 0.
2, 3
Let j(q) = -31*q**2 + 234*q - 1429. Let s(u) = 11*u**2 - 78*u + 476. Let i(m) = -4*j(m) - 11*s(m). Factor i(a).
3*(a - 16)*(a - 10)
Let f be -1*(-4 - -2*3)/(-1). Solve -20 - 7*y - 2