ulate o.
-2, 0
Let v(z) = z**2 - 172*z - 1274. Let t(h) = -h**2 + 2*h - 1. Let b(s) = 6*t(s) + v(s). Factor b(m).
-5*(m + 16)**2
Let j be 1 + 40/(-25) + 1. Factor 2/5*q + 0 - j*q**2.
-2*q*(q - 1)/5
Suppose -107 = -c - 102. Let u(m) be the third derivative of -1/30*m**c + 0*m - m**2 - 1/9*m**3 + 0 + 1/9*m**4. Factor u(n).
-2*(n - 1)*(3*n - 1)/3
Suppose 2 = -i - i, 4*w + 5*i - 11 = 0. Find v such that 4*v**5 - 5*v - 33*v**2 + v**5 + 18*v**2 - 10*v**w + 25*v**2 = 0.
-1, 0, 1
Let c be 110/(-11)*8/(-20). Let d(w) be the second derivative of -1/3*w**3 - 8*w + 0 + 0*w**2 + 1/12*w**c. Factor d(a).
a*(a - 2)
Let -1/9*b**2 - 256/9 - 32/9*b = 0. What is b?
-16
Let k(b) be the second derivative of -b**7/126 + 4*b**6/45 - 7*b**5/20 + 7*b**4/18 + 10*b**3/9 - 4*b**2 - 284*b. What is z in k(z) = 0?
-1, 2, 3
Let u = -76 - -118. Let y be (24/u)/(6/7). Factor -y*c**2 + 2/9*c**3 + 2/3 - 2/9*c.
2*(c - 3)*(c - 1)*(c + 1)/9
Let g be 720/504*2/60*56. Let 0 + 4/9*t**3 - g*t**4 - 2/9*t + 8/9*t**2 - 2*t**5 = 0. What is t?
-1, 0, 1/3
Let y = -39 + 42. Suppose -11 = -y*l + j, -4*l - 4*j = -22 + 2. Factor 0*p**2 - 2/7*p**l - 4/7*p**3 + 2/7 + 4/7*p.
-2*(p - 1)*(p + 1)**3/7
Let 8 + 3*p - 2 - 104*p**2 + 203*p**2 - 3*p**3 - 105*p**2 = 0. What is p?
-2, -1, 1
Let x(g) = g**2 + 4*g + 2. Let h be (-6)/(-12) + (-18)/4. Let a be x(h). Factor 2*k**2 + 1 - 7*k**a + 3*k**2 + k**4.
(k - 1)**2*(k + 1)**2
Let l(i) be the first derivative of 2*i**3/7 + 16*i**2/7 - 38*i/7 + 273. Solve l(g) = 0 for g.
-19/3, 1
Let i(w) = -7*w**3 - 9*w**2 + 24*w + 29. Let s(a) = 48*a**3 + 64*a**2 - 168*a - 204. Let v(y) = 20*i(y) + 3*s(y). Solve v(l) = 0.
-4, -1, 2
Determine o, given that 13 - 45*o**3 + 40*o + 4*o**5 - 13 + o**5 - 10*o**2 + 10*o**4 = 0.
-4, -1, 0, 1, 2
Let i be ((-125)/(-1050))/(15/96). Let -2/21*u**5 - i*u**2 - 4/21 + 4/21*u**3 + 2/3*u + 4/21*u**4 = 0. What is u?
-2, 1
Let k(t) = -53*t**4 + 44*t**3 + 36*t**2 - 7*t - 5. Let x(q) = -55*q**4 + 43*q**3 + 36*q**2 - 8*q - 4. Let n(v) = -4*k(v) + 5*x(v). Find b, given that n(b) = 0.
-2/3, 0, 2/7, 1
Let b be (-1)/2*(4 + -16 + 4). Factor b*y**2 + 3*y**5 + 6*y - 4*y**3 + y**4 + 2 + 8*y**5 - 13*y**5 - 7*y**4.
-2*(y - 1)*(y + 1)**4
Let i(y) be the third derivative of -y**7/315 + y**6/180 + y**5/15 - y**4/9 - 8*y**3/9 + 25*y**2 + y. Determine q, given that i(q) = 0.
-2, -1, 2
Let d(r) be the third derivative of r**5/60 - 53*r**4/24 + 17*r**3 + r**2 - 8*r. Factor d(n).
(n - 51)*(n - 2)
Factor 20/7*q**4 - 80/7*q**3 - 2/7*q**5 + 160/7*q**2 + 64/7 - 160/7*q.
-2*(q - 2)**5/7
Let p be ((-114)/(-25))/((-12789)/(-840)). Let g = p + -2/145. Let -g*c + 1/7 + 1/7*c**2 = 0. What is c?
1
Let l(g) be the second derivative of g**4 + 0*g**2 + 0 - 14*g + 2*g**3 + 3/20*g**5. Factor l(n).
3*n*(n + 2)**2
Let u(l) be the first derivative of -l**6/39 + 12*l**5/65 - 5*l**4/26 + 215. Factor u(m).
-2*m**3*(m - 5)*(m - 1)/13
Let i(c) be the third derivative of c**6/30 - 4*c**5/9 + 29*c**4/18 + 8*c**3/3 + 116*c**2. Factor i(k).
4*(k - 4)*(k - 3)*(3*k + 1)/3
Suppose 8 = 4*q + 5*a, -a + 15 = 5*q + 4*a. Factor -3*b**2 + 2*b + 1 + 7*b**2 - q.
2*(b - 1)*(2*b + 3)
Let i = -102 - -108. Let w(c) be the first derivative of -7/4*c**4 + 1/4*c**2 + 11/10*c**5 - 1/4*c**i - 1/2*c + c**3 + 1. Find f such that w(f) = 0.
-1/3, 1
Determine l so that -13101*l**2 + 3*l**5 + 3*l**4 - 3*l**3 - 4*l**5 + 13102*l**2 = 0.
0, 1
Let x be ((-2)/72)/(14/(-42)). Let v(y) be the second derivative of -1/60*y**6 - 1/4*y**2 + 0*y**5 + 0*y**3 + x*y**4 + 2*y + 0. Factor v(p).
-(p - 1)**2*(p + 1)**2/2
Let c(g) be the first derivative of g**6/90 + g**5/30 - 5*g**3/3 - 9. Let l(y) be the third derivative of c(y). Factor l(z).
4*z*(z + 1)
Let t(f) be the first derivative of -f**4/24 - f**3/6 - 57. Factor t(k).
-k**2*(k + 3)/6
Let i be (-11288)/(-1224) - (22*(-1)/(-2) + -2). Factor i*p**5 + 0 - 8/9*p**2 + 8/9*p + 4/9*p**4 - 2/3*p**3.
2*p*(p - 1)**2*(p + 2)**2/9
Let u(b) be the second derivative of -b**4/3 - 13*b**3/6 - 3*b**2/2 + 67*b. Factor u(c).
-(c + 3)*(4*c + 1)
Factor 2/13*l**2 - 2/13*l**3 + 2/13*l - 2/13*l**4 + 0.
-2*l*(l - 1)*(l + 1)**2/13
Let n = 328/413 + -30/59. Let 4/7*k - 2/7*k**2 - n = 0. Calculate k.
1
Suppose 76*p = 87*p. Factor -7/3*a**4 - 2/3*a**3 + 0*a + 0 + p*a**2 - 5/3*a**5.
-a**3*(a + 1)*(5*a + 2)/3
Let z = 5/153 - 985/6732. Let r = z - -4/11. Suppose 0 - 1/4*g**3 - g**4 + g**2 + r*g = 0. What is g?
-1, -1/4, 0, 1
Let d(a) = -19*a**3 + 278*a**2 - 3515*a + 16464. Let b(m) = 3*m**3 - 46*m**2 + 586*m - 2744. Let s(y) = -39*b(y) - 6*d(y). Determine p, given that s(p) = 0.
14
Let b be (10/4)/(1/2). Factor -20*t**3 + 10*t + 35*t**2 - b + 5.
-5*t*(t - 2)*(4*t + 1)
Let d = 41 - 61. Let q be 10/d + -2 + (-9)/(-2). Factor 8/5*x + q*x**2 - 2/5.
2*(x + 1)*(5*x - 1)/5
Let s = -30 + 32. Factor -9*o + s*o**2 - o**2 + 2*o**2.
3*o*(o - 3)
Let o(r) be the second derivative of r**4/9 - 28*r**3/9 + 30*r**2 + 363*r. Factor o(u).
4*(u - 9)*(u - 5)/3
Let b(h) be the first derivative of -h**6/8 + 3*h**5/40 + 3*h**4/32 + 66. Determine c, given that b(c) = 0.
-1/2, 0, 1
Factor 259*f**2 - 269*f**2 + f**4 + 5*f**3 + f**5 + 12*f**3 - 9*f**4.
f**2*(f - 5)*(f - 2)*(f - 1)
Let w(f) = -30*f**3 + 2*f**2 - 94*f + 240. Let b(r) = 11*r**3 - r**2 + 32*r - 80. Let k(c) = 11*b(c) + 4*w(c). Factor k(j).
(j - 4)**2*(j + 5)
Let r(v) be the first derivative of v**4/8 + v**3 + 9*v**2/4 + 151. Determine j so that r(j) = 0.
-3, 0
Let n = 65 - 63. Find v, given that 34*v - 18*v - v**2 + n*v**2 - 14*v = 0.
-2, 0
Determine y so that 237/5*y + 0 + 3/5*y**2 = 0.
-79, 0
Solve -30*p - 2*p**2 - 3*p**2 + 39 - 39 = 0 for p.
-6, 0
Factor -28*f**4 - 6/5*f**3 + 98/5*f**5 + 0 + 8/5*f + 8*f**2.
2*f*(f - 1)**2*(7*f + 2)**2/5
Find i such that 18*i**2 + 44*i**2 - 170 - 600*i - 5*i**3 + 43*i**2 + 670 = 0.
1, 10
Let a(c) be the first derivative of 5*c**4/4 + 25*c**3/3 - 5*c**2/2 - 25*c + 152. What is n in a(n) = 0?
-5, -1, 1
Let d(h) be the third derivative of h**5/420 - h**4/168 - h**3/21 - 3*h**2 + 2. Determine k so that d(k) = 0.
-1, 2
Let g be ((-2)/(-2))/(4/88). Let x be 15/(-10) - g/(-4). Solve -16*c**2 + 8*c**3 - 4*c + 4 - 4*c + 19*c**4 - 7*c**x = 0.
-1, 1/3, 1
Let b(s) be the third derivative of 0*s**6 + 1/40*s**5 - 1/32*s**4 + 12*s**2 + 0 + 1/448*s**8 - 1/140*s**7 + 0*s + 0*s**3. Solve b(c) = 0.
-1, 0, 1
Factor 574 + 181*j + 4*j**2 - 61*j + 475 - 329 + j**2.
5*(j + 12)**2
Let i(w) be the second derivative of 3*w**5/5 - 7*w**4/3 + 8*w**2 - 152*w. Factor i(o).
4*(o - 2)*(o - 1)*(3*o + 2)
Let v = 223324/5 + -44912. Let z = v - -248. Suppose 0 + z*f**2 + 4/5*f**3 + 0*f = 0. Calculate f.
-1, 0
Suppose -4*u**3 - 56*u**2 - 126 + 272*u - 180 + 18 = 0. What is u?
-18, 2
Let l(g) be the second derivative of g**4/18 - 2*g**3 + 75*g. What is d in l(d) = 0?
0, 18
Suppose -6*v + h + 12 = -v, -3*h = -3*v + 12. Let d be 8/(-12)*v/((-16)/3). What is p in -3/4*p + d*p**3 + 0*p**2 + 1/2 = 0?
-2, 1
Let i(a) = -4*a**2 + 14*a + 69. Let w be i(13). Let k = w - -2149/5. Determine d so that 0 - 4/5*d + 22/5*d**2 - 58/5*d**4 - k*d**5 - 8/5*d**3 = 0.
-2, -1, 0, 1/4, 1/3
Let f = 4541/3628 - 3/1814. Find y, given that 0 + 3/4*y - 1/4*y**4 + 1/4*y**3 + f*y**2 = 0.
-1, 0, 3
Let w(r) = -r**2 - r + 1. Let s be w(2). Let y be (28/(-350))/(1/s). Determine d so that -8/5*d + 8/5 + y*d**2 = 0.
2
Determine d, given that 2/9*d**4 + 44*d**2 - 13310/9 + 56/9*d**3 - 968/9*d = 0.
-11, 5
Let f be (41401/105 - 2) + 3/(-7). Let p = 392 - f. Let p*k**3 - 2/15 + 2/15*k**2 - 2/15*k = 0. Calculate k.
-1, 1
Suppose -8*r = -3*r + 260. Let g be (4 + r/14)*14/10. Find h such that -2*h**2 + 0 + 2/5*h**4 + 6/5*h + g*h**3 = 0.
-3, 0, 1
Let y(m) be the first derivative of -3*m**7/245 + m**6/35 - 2*m**5/105 - 10*m**2 - 9. Let g(p) be the second derivative of y(p). Solve g(z) = 0 for z.
0, 2/3
Let i(k) be the first derivative of -k**4/4 - 3*k**3 + 11*k**2 + 4*k + 35. Let s be i(-11). Factor -o**3 + 0 - 5/3*o**2 - 2/3*o + 1/3*o**5 + 1/3*o**s.
o*(o - 2)*(o + 1)**3/3
Let n be (675/720)/(2/16). Factor 7/4*z**3 - n*z**2 - 2 + 9*z.
(z - 2)**2*(7*z - 2)/4
Let m(b) = -b**2 - b + 1. Let t(r) = -27*r**2 + 318*r - 1022. Let z(a) = 6*m(a) - 3*t(a). Determine s, given that z(s) = 0.
32/5
Let m = -16/2603 + 7841/5206. Find o such that -2*o**2 + 0*o + 0 + 0*o**3 - 1/2*o**5 + m*o**4 = 0.
-1, 0, 2
Factor -10658/15 - 2/15*c**2 