 42)
Factor 165/2 - 489/4*o - 9/4*o**2.
-3*(o + 55)*(3*o - 2)/4
Suppose 0 = 23*f + 23*f - 7*f - 78. Let j(x) be the second derivative of -1/6*x**4 - 25*x**f - 10/3*x**3 - 8*x + 0. Factor j(o).
-2*(o + 5)**2
Let x be ((12/405)/((-17)/85))/(-8 - (-44)/6). Let t be (-2)/(-10) - 27/(-15). Factor -20/9 + x*l**t - 2/3*l.
2*(l - 5)*(l + 2)/9
Let j(n) be the first derivative of 5*n**3/3 + 875*n**2/2 - 1770*n - 3238. Factor j(y).
5*(y - 2)*(y + 177)
Let m(l) = -2*l**3 - 48*l**2 + 14*l + 65. Let x(f) = 3*f**3 + 70*f**2 - 23*f - 97. Let y(u) = 14*m(u) + 10*x(u). Factor y(h).
2*(h - 2)*(h + 1)*(h + 15)
Solve 614/19*r**2 + 192/19 - 826/19*r + 20/19*r**3 = 0 for r.
-32, 3/10, 1
Let p(l) = 3*l**2 - 337*l + 665. Let s(m) = -m**2 + m - 1. Let h(y) = p(y) + s(y). Solve h(i) = 0.
2, 166
Suppose 24*w = -44*w + 8*w. Let c(k) be the second derivative of 1/105*k**6 - 1/14*k**4 + 0*k**5 + w + 14*k + 2/21*k**3 + 0*k**2. Factor c(p).
2*p*(p - 1)**2*(p + 2)/7
Let u = 11124/55495 - 5/11099. Find l such that 22/5*l - 1/5*l**5 + 17/5*l**2 + 8/5 - u*l**3 - l**4 = 0.
-4, -1, 2
Let o be ((-42)/9 - -4)*78/(-156). Factor -o*b**2 + 13/3*b + 0.
-b*(b - 13)/3
Let y(j) = 2*j**2 + 7*j + 3. Let a(v) = 6*v**2 + 10 - 18 + 16 + 22*v. Let f(i) = -3*a(i) + 8*y(i). Find r, given that f(r) = 0.
-5, 0
Let s(r) = -r**4 - 46*r**3 - 175*r**2 - 168*r + 3. Let g(k) = 3*k**4 + 138*k**3 + 524*k**2 + 504*k - 8. Let l(b) = 9*g(b) + 24*s(b). Factor l(v).
3*v*(v + 2)**2*(v + 42)
Let w(u) be the first derivative of 1936/7*u + 4/21*u**3 - 88/7*u**2 - 79. Factor w(g).
4*(g - 22)**2/7
Let k be 32647/(-4480) + 7 - (-6)/21. Let m = k + 2881/640. Factor 1/4*s**3 + 54 + 27*s + m*s**2.
(s + 6)**3/4
Let c(p) be the third derivative of 0*p**3 + 138/35*p**7 + 61*p**2 + 69*p**5 + 0*p - 9/112*p**8 - 225/8*p**4 - 1103/20*p**6 + 0. Solve c(z) = 0 for z.
0, 1/3, 15
Let z(n) = -11*n + 74. Let a be z(10). Let t = 75/2 + a. Factor t*j**2 + 3/2 + 3*j.
3*(j + 1)**2/2
Let q(t) be the first derivative of -15*t**5 + 2940*t**2 + 1/2*t**6 + 705/4*t**4 - 1015*t**3 - 4116*t + 66. Solve q(w) = 0 for w.
2, 7
Let d = 1/357 + 89/10710. Let p(c) be the third derivative of 0*c - 8*c**2 + 0 + d*c**5 + 0*c**3 - 1/18*c**4. Factor p(t).
2*t*(t - 2)/3
Let p be (-32584)/18 + 2 - 168/(-756). Let k = p - -5425/3. Factor 0*n - 1/3*n**2 + k.
-(n - 1)*(n + 1)/3
Factor 7/2*k**2 - 5/2*k + 5/2*k**3 - 3 - 1/2*k**4.
-(k - 6)*(k - 1)*(k + 1)**2/2
Let a = -512 - -514. Suppose 0 = -2*x + 3*c + c + 16, -c - 4 = a*x. Factor x*k - 4/3*k**2 + 2/3*k**3 + 0.
2*k**2*(k - 2)/3
Factor 0*m**2 - 3*m**2 + 4*m**2 + 97 + 159*m + 222 - 5.
(m + 2)*(m + 157)
Let r = -4254 - -4268. Let b(i) be the first derivative of -i**3 + i**4 - r - 2*i**2 - 1/5*i**5 + 4*i. Factor b(n).
-(n - 2)**2*(n - 1)*(n + 1)
Let z(h) be the second derivative of h**7/63 - 4*h**6/5 + 59*h**5/5 - 238*h**4/9 - 289*h**3/3 - 4*h - 288. Determine v so that z(v) = 0.
-1, 0, 3, 17
Let o(t) be the third derivative of -t**6/360 + t**5/12 - 25*t**4/24 + 22*t**3/3 - 20*t**2. Let p(w) be the first derivative of o(w). Factor p(a).
-(a - 5)**2
Factor -5/2*z**2 + 5/4*z + 0 + 5/4*z**3.
5*z*(z - 1)**2/4
Let l(b) = 6*b**4 - 9*b**3 - 8*b. Let s be (-74)/16 - 15/40. Let m(n) = n**4 - n**3 - n. Let w(i) = s*l(i) + 40*m(i). Factor w(g).
5*g**3*(2*g + 1)
Let g be (-6*(-3)/(-9))/((-1)/2). Solve 221 - 10*v**3 - v**5 - 221 + 6*v**3 + g*v**4 = 0.
0, 2
Let a = -109 + 115. Find x such that 24*x**3 + 33*x**4 - 10*x**2 + 9*x**3 + 9*x**5 + 13*x**2 - a*x = 0.
-2, -1, 0, 1/3
Suppose 5*k - 50 - 25 = 0. Factor k*a - 8 + 8*a - 8*a - 20*a**2 + 13*a.
-4*(a - 1)*(5*a - 2)
Let i(y) be the first derivative of y**5/120 + 7*y**4/48 + 5*y**3/6 - 84*y**2 + 182. Let z(p) be the second derivative of i(p). Factor z(w).
(w + 2)*(w + 5)/2
Let t = -53921/3 + 17974. Let d(z) be the second derivative of -2*z**3 + 0*z**2 + 30*z + t*z**4 + 0. Find h, given that d(h) = 0.
0, 3
Let q be 50/18 + (-38)/(-9) + -4. Let p(k) be the first derivative of 6*k**2 + k - 6 + k + 3*k**q + 2*k. What is g in p(g) = 0?
-2/3
Let u(s) = 8*s**2 - 436*s + 650. Let l be u(53). Factor -4*j + l + 2/7*j**2.
2*(j - 7)**2/7
Let i(m) be the second derivative of -5*m**4/48 + 125*m**2/2 - 2*m - 150. Factor i(q).
-5*(q - 10)*(q + 10)/4
Let o be (-16)/((-2240)/25)*(-144)/(-54). Let -8/21*k + 2/21*k**2 - o = 0. What is k?
-1, 5
Let a(l) be the first derivative of 2/33*l**3 + 1/22*l**4 + 0*l**2 + 0*l + 24. Solve a(t) = 0 for t.
-1, 0
Let x(b) be the third derivative of -b**7/210 - b**6/5 - 25*b**5/12 - 17*b**4/4 - b**2 - 346*b. Let x(n) = 0. What is n?
-17, -6, -1, 0
Let z = 65839378/4800789 + 2/685827. Factor -z - 2/7*d**3 - 6/7*d**2 + 68/7*d.
-2*(d - 3)*(d - 2)*(d + 8)/7
Let j = -127 + 137. Suppose -13*v**2 + 26*v**3 - 5*v**2 - 22*v**2 + j*v**3 = 0. What is v?
0, 10/9
Let m be 8 + 749/21 - (-2 - -3). Let 0 + m*o**2 - 64/3*o - 32/3*o**4 - 20/3*o**5 + 32*o**3 = 0. Calculate o.
-2, 0, 2/5, 2
Let z(r) be the third derivative of 0*r**3 + 0 + 0*r**4 - 9*r**2 - 1/360*r**5 - 3*r - 1/360*r**6. Let z(y) = 0. What is y?
-1/2, 0
Let u = 102326/63955 - -2/63955. Factor 6/5*g - u - 1/5*g**2.
-(g - 4)*(g - 2)/5
Let q(i) = -i**2 - 13*i - 28. Let f(z) = 8*z + 1 + 11*z - 25*z + 7*z. Let d(b) = 6*f(b) + 2*q(b). Factor d(o).
-2*(o + 5)**2
Let n(o) be the third derivative of 6*o**5/35 - 575*o**4/168 - 4*o**3/21 - 2*o**2 + 1081*o. Factor n(b).
(b - 8)*(72*b + 1)/7
Find f such that 1/9*f**2 - f - 112/9 = 0.
-7, 16
Let r = 4213031/4 + -1053256. What is a in -9/4 - 17/4*a - r*a**2 + 1/4*a**3 = 0?
-1, 9
Let u(w) be the third derivative of -1/40*w**6 - 11*w + 15*w**3 + 2*w**2 - 4/5*w**5 - 13/8*w**4 + 0. Let u(n) = 0. Calculate n.
-15, -2, 1
Let d(s) be the first derivative of -660*s**2 + 400*s + 62 + 124*s**3 - 91/10*s**4 + 6/25*s**5. Factor d(l).
2*(l - 10)**3*(3*l - 1)/5
Suppose 57 + 6 = 7*q. Determine r so that -6*r**2 - 179*r - 25*r + 3468 + q*r**2 = 0.
34
Let g = -1022533 - -4090225/4. Find s such that 57/4*s**2 + 0 + g*s**4 + 0*s - 291/8*s**3 - 9/8*s**5 = 0.
0, 2/3, 1, 19
Factor 88/5*w**3 + 0*w + 84/5*w**2 + 0 + 4/5*w**4.
4*w**2*(w + 1)*(w + 21)/5
Let k be ((3/2)/3)/(3/(-42))*115/(-161). Factor 2/3*r**k + 0 + 0*r - 10/3*r**2 - 14/3*r**4 + 22/3*r**3.
2*r**2*(r - 5)*(r - 1)**2/3
Let w(p) be the third derivative of 0 + 0*p + 19/135*p**5 + 1/945*p**7 + 15*p**2 + 11/540*p**6 + 8/9*p**3 + 13/27*p**4. Factor w(r).
2*(r + 1)*(r + 2)**2*(r + 6)/9
Let c = 216917/2 - 108458. Determine t, given that c*t**4 - 3*t - 5/2*t**2 + 0 + t**3 = 0.
-3, -1, 0, 2
Let b(a) be the third derivative of -a**8/168 + a**7/15 - a**6/6 - 3*a**5/5 + 9*a**4/4 + 9*a**3 - 366*a**2 - 4. Determine h so that b(h) = 0.
-1, 3
Suppose -358*z + 348*z = -50. Let t(r) be the first derivative of 1/12*r**6 - z + 0*r**5 + 0*r + 0*r**3 + 0*r**2 + 0*r**4. Factor t(u).
u**5/2
Let q = -98665 + 98665. Suppose -1/4*l**2 - 1/2*l + 1/4*l**4 + q + 1/2*l**3 = 0. What is l?
-2, -1, 0, 1
Suppose -f - 412 = 3*f + 5*z, 3*z + 12 = 0. Let b = 100 + f. Suppose -127*k**2 - 5*k + 133*k**2 - b*k + k**3 = 0. What is k?
-7, 0, 1
Let g(u) be the third derivative of -1/72*u**4 + 0*u**3 + 0*u + u**2 - 1/90*u**5 + 3 - 1/360*u**6. What is z in g(z) = 0?
-1, 0
Let n(v) be the third derivative of -25/6*v**4 + 0 + 38*v**2 - 95/6*v**3 + 0*v - 1/12*v**5. Factor n(m).
-5*(m + 1)*(m + 19)
Suppose 3132*j = 3203*j - 213. Let d(k) be the first derivative of -50/7*k - 1/21*k**6 - 85/7*k**2 - 212/21*k**j - 26/35*k**5 - 13 - 29/7*k**4. Factor d(b).
-2*(b + 1)**3*(b + 5)**2/7
Factor -3814 + 7623 - 1328*q - 3813 + 643*q**2 - 667*q**3 + 1356*q**2.
-(q - 2)*(q - 1)*(667*q + 2)
Let m be -200 + (-78469)/(-393) + 1/6*2. Factor 24/5*i + 3/5*i**2 + m.
3*i*(i + 8)/5
Factor 934/7*o - 1/7*o**2 - 218089/7.
-(o - 467)**2/7
Let t be (-2)/(-10) - 38/(-10). Let m be 3*(-93)/(-180) - t/5. Factor 0 + 1/4*l**2 + 0*l + 3/4*l**3 + m*l**4 + 1/4*l**5.
l**2*(l + 1)**3/4
Let q(a) be the third derivative of -a**8/336 - a**7/70 + a**6/6 + 7*a**5/5 + 10*a**4/3 - 2*a**2 + 234. Factor q(c).
-c*(c - 5)*(c + 2)**2*(c + 4)
Solve -33*d**2 + 112*d - 13*d**3 + 1117*d**4 - 64 - 1118*d**4 - d**3 = 0.
-8, 1
Let y(t) be the second derivative of 5*t**4/12 - 6860*t**3 + 42353640*t**2 - 13463*t. Factor y(n).
5*(n - 4116)**2
Let w(i) = i**3 + i**2. Let t be w(1). Suppose 0 = 2430*x - 2438*x + 128. Factor 50 + 49 + x*r - 87 + 4*r**t.
