ppose 2*c = 4*b - 849 + 817, 4*b = -4*c - 28. Factor -3/7*g - 3*g**b + 24/7*g**2 + 0.
-3*g*(g - 1)*(7*g - 1)/7
Let o be 0 + -5 + 4 + 18/3. Determine d, given that -12*d**3 + 4*d - 196*d**4 + 194*d**4 + 10 + 3*d + o*d - 8*d**2 = 0.
-5, -1, 1
Let a(v) be the second derivative of -v**7/357 - 21*v**6/85 + 197*v**5/170 - 23*v**4/34 - 196*v**3/51 + 132*v**2/17 + 47*v + 2. Let a(p) = 0. What is p?
-66, -1, 1, 2
Let l(g) = 8*g**2 - 4*g + 4. Let z be l(1). Factor -6*i + z*i**2 - 18*i**2 + 21*i**2 - 5.
(i - 1)*(11*i + 5)
Let g(q) = 6*q**2 + 1551*q + 27. Let b(k) = 17*k**2 + 4651*k + 72. Let z(f) = -3*b(f) + 8*g(f). Suppose z(c) = 0. Calculate c.
-515, 0
Let z(k) be the second derivative of k**5/30 - 11*k**4/36 - 19*k**3/9 - 8*k**2/3 - 963*k + 2. Find f, given that z(f) = 0.
-2, -1/2, 8
Let q = -406678 - -406680. Determine u so that u - 7/4*u**q + 3 + 1/4*u**3 = 0.
-1, 2, 6
Suppose -1017*r = -1021*r + 36, 11 = v + r. Factor 38/5*b + 16/5*b**v + 4 - 2/5*b**3.
-2*(b - 10)*(b + 1)**2/5
Let w(p) = 7*p**5 - 96*p**4 + 219*p**3 - p**2 - 201*p + 72. Let o(a) = 9*a**5 - 96*a**4 + 222*a**3 - 201*a + 66. Let j(g) = -5*o(g) + 6*w(g). Factor j(r).
-3*(r - 1)**3*(r + 1)*(r + 34)
Let z(w) = 725*w + 2*w**3 - 723*w - 2 - 3*w**3 + 3*w**2. Let c be z(3). Factor -5*y + 3*y + 2*y**2 + c*y.
2*y*(y + 1)
Let o(m) be the third derivative of -m**7/1155 + 13*m**6/660 - 3*m**5/55 - 13*m**4/33 + 8*m**3/3 - 1785*m**2. Let o(y) = 0. What is y?
-2, 2, 11
Factor 292 - 70*x**3 - 63*x**2 - 442*x - 75*x**3 + 143*x**3 + 215*x**2.
-2*(x - 73)*(x - 2)*(x - 1)
Factor 321/7*i**2 - 123/7*i**3 + 3/7*i**5 + 96/7 - 300/7*i + 3/7*i**4.
3*(i - 4)*(i - 1)**3*(i + 8)/7
Let y = -613 - -625. Let h be y/(-28) - ((-12)/(-14))/(-2). Let -14/5*z + 2/5*z**2 + h = 0. What is z?
0, 7
Let g(n) = 20*n - 55 - 17*n + 11 - 5. Let b be g(18). Find u such that -2/7*u - 62/7*u**3 - 4/7 + 38/7*u**2 + 38/7*u**4 - 8/7*u**b = 0.
-1/4, 1, 2
Let b(s) = -s + 2. Let m(f) = f**3 + f**2 + 2*f + 1. Let j(d) = -b(d) + m(d). Let y(p) = -2*p**3 + 14*p**2 + 36*p + 44. Let c(l) = -4*j(l) - y(l). Factor c(a).
-2*(a + 2)**2*(a + 5)
Let x(q) = 22*q**3 + 495*q**2 + 938*q + 584. Let a(d) = -15*d**3 - 330*d**2 - 625*d - 395. Let b(j) = 7*a(j) + 5*x(j). Factor b(m).
5*(m + 1)**2*(m + 31)
Let g be (-6)/288*7120/(-267). Factor g*v**2 + v + 4/9.
(v + 1)*(5*v + 4)/9
Let h be (1033/(-815) - 0) + (-234)/(-195). Let z = 511/326 + h. Factor 0 - 9/2*r + z*r**2.
3*r*(r - 3)/2
Suppose 788*a - 789*a = 2*b - 6, -4 = 2*b - 4*a. Find k, given that 27*k**b + 2025 - 3/5*k**3 - 405*k = 0.
15
Let d(s) = 5*s**4 + 55*s**3 + 5*s**2 - 55*s + 5. Let g(b) = 7*b**4 + 57*b**3 + 5*b**2 - 57*b + 6. Let h(w) = -6*d(w) + 5*g(w). Factor h(y).
5*y*(y - 9)*(y - 1)*(y + 1)
Factor 0 + 6/11*k**3 + 18/11*k**2 + 12/11*k.
6*k*(k + 1)*(k + 2)/11
Let v(w) = -389*w - 126471. Let r be v(-326). Factor 1/7*i**2 + r - 14*i.
(i - 49)**2/7
Let l be ((-8)/76)/(52/((-16796)/85)). Determine r, given that l*r**4 - 14/5*r**3 - 12/5 + 14/5*r + 2*r**2 = 0.
-1, 1, 6
Let x be ((-49170)/26820)/(22/(-6)). Let q be (-81)/(-14) - 2/7. Factor -x*z**2 - 5*z + q.
-(z - 1)*(z + 11)/2
Let s = 1661/20 - 11267/140. Solve 0 - s*m - 3/7*m**2 = 0 for m.
-6, 0
Let u(o) = 6*o**2 - o - 1. Let w be u(-2). Let q = -20 + w. Determine z so that -90*z**2 - 201*z - q*z**3 - 141*z - 1080 + 7*z - 205*z = 0.
-6
Let y(r) be the second derivative of 13/2*r**2 + 1/12*r**4 - 24*r + 2/3*r**3 + 0 - 1/30*r**5. Let f(o) be the first derivative of y(o). Factor f(g).
-2*(g - 2)*(g + 1)
Let a(u) be the third derivative of -529*u**6/24 - 253*u**5 + 1365*u**4/8 - 45*u**3 + 80*u**2. Factor a(j).
-5*(j + 6)*(23*j - 3)**2
Suppose -5*v - 37 = -v + 5*w, 0 = 5*w + 5. Let j(q) = -q**3 - 9*q**2 - 10*q - 14. Let h be j(v). Factor -4*l**2 - 2 + 2 + h*l**3 + 2*l**3.
4*l**2*(l - 1)
Let p(c) be the third derivative of 11/3*c**4 + 16/3*c**3 + 13*c**2 + 3/5*c**5 + 0*c - 2. Find x such that p(x) = 0.
-2, -4/9
Let q(i) be the second derivative of i**5/20 + 353*i**4/12 - i**3/6 - 353*i**2/2 - 5*i + 17. Factor q(m).
(m - 1)*(m + 1)*(m + 353)
Suppose 0 = -r + 4, -3*i + r = -7*i. Let y be i/(-14)*15/(150/40). Determine p, given that 0 + y*p**2 + 4/7*p = 0.
-2, 0
Suppose -j + 339 = -3*n, -2*j = -6*j - 2*n + 1412. Suppose -7*a - j = -372. Factor -2/5*t**4 + 8/5*t**a - 12/5*t**2 + 8/5*t - 2/5.
-2*(t - 1)**4/5
Let s(l) be the third derivative of -34*l + 0 + 5/12*l**4 + 0*l**5 - 5/6*l**3 - 1/12*l**6 + l**2 + 1/42*l**7. Factor s(z).
5*(z - 1)**3*(z + 1)
Let s(w) be the third derivative of -w**7/210 - 11*w**6/120 + 23*w**5/30 + 7*w**4/3 - 8*w**2 + 20*w. Determine k so that s(k) = 0.
-14, -1, 0, 4
Let u = 4517/454 - 556/227. Let x = -215/2 - -111. Solve u*j + x*j**2 + 9/2 + 1/2*j**3 = 0.
-3, -1
Suppose -3*k - 9 = -0, -2*k = s + 3. Suppose 1 = 4*q - 3*t - 14, 3*t + 3 = 2*q. Factor 199 - 102 - s*p**3 - 97 + q*p - 3*p**2.
-3*p*(p - 1)*(p + 2)
Let d(y) be the third derivative of -y**6/216 + y**5/72 + 5*y**4/12 + 115*y**3/3 + 20*y**2. Let o(g) be the first derivative of d(g). Factor o(u).
-5*(u - 3)*(u + 2)/3
Let i(o) be the first derivative of 1/2*o**4 - 6/5*o**5 + 0*o + 1/3*o**6 - 2*o**2 + 2*o**3 - 68. Factor i(n).
2*n*(n - 2)*(n - 1)**2*(n + 1)
Let q(m) = 751*m + 758. Let y(z) = 5*z**2 + z + 3. Let j(k) = q(k) - y(k). Determine x, given that j(x) = 0.
-1, 151
Factor -19299*x + 18959*x + 3*x**3 + 70*x**2 + 360 + 2*x**3.
5*(x - 2)**2*(x + 18)
Let z(x) be the third derivative of -5*x**8/16 - 139*x**7/35 - 439*x**6/40 - 46*x**5/5 + 3*x**4/2 + 2*x**2 - 881. Let z(p) = 0. Calculate p.
-6, -1, 0, 2/35
Let z = -26/25029 + 50240/175203. Factor -34/7*u + 30/7 + z*u**3 + 2/7*u**2.
2*(u - 3)*(u - 1)*(u + 5)/7
Suppose -j = -5*y + 93, -4*y = -3*j - 169 + 55. Factor 0 + 5/3*b**3 - 10*b**2 + y*b.
5*b*(b - 3)**2/3
Let u(n) be the second derivative of -1/10*n**5 + 0*n**3 + 0*n**2 - 7 + 11/6*n**4 + 4*n. Factor u(k).
-2*k**2*(k - 11)
Suppose -2*k + 33 = -5*c, 3*c = 2*k - 13 - 18. Let m be k - -35*12/(-42). Suppose -32/5*w - 8/5*w**3 + 16/5 + 24/5*w**2 + 1/5*w**m = 0. What is w?
2
Let b(l) = -8*l**2 + 6*l - 16. Let r(s) = -s**2 - 40 - 6*s**2 + 7*s + 25. Let f(y) = -5*b(y) + 6*r(y). Factor f(m).
-2*(m - 5)*(m - 1)
Suppose -15 = -5*w, 2*o + w = 303 - 290. Let x(t) be the third derivative of 1/24*t**3 - 1/48*t**4 + 0*t - 2*t**2 + 0 - 7/240*t**o - 1/120*t**6. Factor x(i).
-(i + 1)**2*(4*i - 1)/4
Let 2/5*m**5 - 12/5*m**4 - 144/5 + 20*m**2 - 18/5*m**3 + 72/5*m = 0. What is m?
-2, 1, 3, 6
Let y(g) be the first derivative of -2/3*g**5 + 1/18*g**6 - 56/9*g**3 + 27 + 16/3*g**2 + 3*g**4 + 0*g. Factor y(c).
c*(c - 4)*(c - 2)**3/3
Suppose 5*u = 4*z + 942, 15*u - 10*u + 2*z = 924. Let t be (1/(-10))/(u/96 - 2). Suppose -2/15*m**3 - 32/5*m + t*m**2 + 128/15 = 0. What is m?
4
Let m(l) be the first derivative of 20*l - 266 - 14*l**5 - 25/6*l**6 + 65/2*l**2 + 50/3*l**3 - 10*l**4. Solve m(t) = 0 for t.
-1, -4/5, 1
Factor -592/9 - 2/9*q**4 + 904/9*q + 86/9*q**3 - 52*q**2.
-2*(q - 37)*(q - 2)**3/9
Let x(z) be the first derivative of z**6/54 + 23*z**5/45 + 35*z**4/36 - 143*z**3/27 + 14*z**2/3 + 7872. Determine o so that x(o) = 0.
-21, -4, 0, 1
Suppose -4*m - 28 = -11*m. Suppose -v = -m*s - 21, 3*v - 39 = -2*v - 2*s. Factor 18*f - 19 + 12 - 2*f - 4*f**2 - v.
-4*(f - 2)**2
Let g = -16933/2 + 8731. Let l = 277 - g. Factor -5/2*i**5 - 10*i**4 - 5*i**2 + 0*i - l*i**3 + 0.
-5*i**2*(i + 1)**2*(i + 2)/2
Suppose -2/5*r**3 + 468/5*r**2 - 5568*r + 53824/5 = 0. What is r?
2, 116
Let v(i) be the second derivative of -i**5/4 + 5279*i**4/6 - 928576*i**3 - 1115136*i**2 - 4541*i. Let v(a) = 0. Calculate a.
-2/5, 1056
Factor -20*u**2 - 134*u - 282 - u + 56*u**2 - 33*u**2.
3*(u - 47)*(u + 2)
Suppose l + 45 = -4*i, 5*i + 3*l = -59 - 6. Let a be (-84)/(-15) - -3 - 4/i. Factor 3*t**2 - 5*t + 12*t - 13*t - a.
3*(t - 3)*(t + 1)
Factor -400/3 + 34/3*a + 2/3*a**2.
2*(a - 8)*(a + 25)/3
Let y(a) = 2*a**4 + a**3 + 2*a**2 + 2*a - 1. Let b(i) = 11*i**4 + 73*i**3 + 191*i**2 - 234*i - 903. Let z(d) = b(d) - 3*y(d). Factor z(u).
5*(u - 2)*(u + 3)**2*(u + 10)
Let t(u) = -4*u - 101*u**2 - 2*u + 97*u**2. Let f(k) = -1. Let l(g) = -g - 2. Let i(h) = -2*f(h) + l(h). Let o(d) = 2*i(d) + t(d). Determine p so that o(p) = 0.
-2, 0
Let x(a) be the first derivative of 0*a**3 - 22 + 29/2*a**2 + 0*a**4 + 0*a**5 + 1/360*a**6 + 0*a. Let k(o) be the sec