i) = 1 - 25*i + 10339*i**3 - 10336*i**3 - 16*i**2 - 1. Let l(k) = -5*c(k) - t(k). Let l(a) = 0. What is a?
-5, -3, 0
Let t(g) = -g**2 + 205*g + 5411. Let r(i) = -206*i - 5410. Let x = 355 - 349. Let c(w) = x*r(w) + 4*t(w). Factor c(a).
-4*(a + 52)**2
Factor 9/7*u - 162/7 + 1/7*u**2.
(u - 9)*(u + 18)/7
Let h be (-76)/(-54) - 270/3645. Let d(u) be the third derivative of 4*u**4 + 121/60*u**6 + 30*u**2 + h*u**3 + 0*u + 11/2*u**5 + 0. Factor d(f).
2*(f + 1)*(11*f + 2)**2
Suppose 7994*q = 7993*q - 3*l - 11, 0 = 3*q - 2*l - 22. Solve 16/3*v - 1/3*v**2 - q + 1/3*v**4 - 4/3*v**3 = 0.
-2, 1, 2, 3
Let y(r) be the first derivative of 28*r + 3/10*r**5 + 9 + 0*r**3 + 1/4*r**2 - 13/24*r**4. Let l(h) be the first derivative of y(h). Factor l(o).
(o - 1)*(3*o - 1)*(4*o + 1)/2
Let b(u) = -u**3 + 7*u - 6. Let y be b(-3). Suppose -4*r + 2*r + 100 = y. Factor -7 + 24*h**2 - 1 + r*h - 198*h**3 - 9 + 5.
-2*(3*h - 1)**2*(11*h + 6)
Let n = 5197/2118 - 572/353. Solve -1/2*o - 7/3*o**2 + 3/2 + n*o**4 + 1/6*o**5 + 1/3*o**3 = 0.
-3, -1, 1
Solve 0 + 18/7*t**4 - 2/7*t**5 + 0*t**2 + 0*t + 104/7*t**3 = 0 for t.
-4, 0, 13
Let t(r) = -7*r**2 + 1210*r + 1177. Let v(g) = 22*g**2 - 3645*g - 3527. Let o(y) = 7*t(y) + 2*v(y). Factor o(a).
-5*(a - 237)*(a + 1)
Let m(z) = 66*z**2 - 8*z - 37. Let t be m(-3). Let u be ((-83)/t)/((-4)/14). Find r such that 3/2*r**2 + 1/4*r - 1/2*r**4 + 1/4*r**3 - u = 0.
-1, 1/2, 2
Let o be 8 + -23 + (44/(-1034) - (-5513)/329). What is p in 3/7*p**2 + 12/7 - o*p = 0?
2
Let n be (9/(-36))/(1/(-28)). Suppose 0 = 4*z - 7*z + 5*y + n, 3*y = -z + 7. Find v such that -z*v**2 - 2 + 2*v**2 + 2*v**2 + 2*v**2 = 0.
-1, 1
Suppose 4*l - 2*s + 36 = 12, 3*l = 4*s - 18. Let d(c) = c**2 + 8*c + 14. Let w be d(l). Factor 0*t - 1/9*t**5 + 1/9*t**3 + 0*t**4 + 0*t**w + 0.
-t**3*(t - 1)*(t + 1)/9
Let m(a) be the second derivative of -a**7/168 - a**6/30 + 7*a**5/40 + 7*a**4/6 + 59*a**3/24 + 5*a**2/2 - 2281*a. Factor m(n).
-(n - 4)*(n + 1)**3*(n + 5)/4
Determine s, given that -2*s**3 - s**3 - 12*s**2 + 144*s + 78 - s**3 - 206 = 0.
-8, 1, 4
Solve 2096/7*u - 8/7*u**3 - 512/7 - 190/7*u**2 = 0 for u.
-32, 1/4, 8
Let y(r) be the first derivative of -r**5/180 - 11*r**4/72 + 2*r**3/3 - r**2/2 - 39*r - 85. Let d(n) be the second derivative of y(n). Factor d(z).
-(z - 1)*(z + 12)/3
Let q(v) be the third derivative of -v**6/120 - 22*v**5/3 - 49693*v**4/24 - 47089*v**3 + 76*v**2 - v + 2. Factor q(m).
-(m + 6)*(m + 217)**2
Suppose -28*u = -4*u - 168. Let a be (-1 - (-19)/u)*300/90. Factor 0 - a*o**2 + 16/7*o**3 - 2/7*o**4 + 32/7*o.
-2*o*(o - 4)*(o - 2)**2/7
Let s(k) be the second derivative of -k**4/8 + 27*k**3/4 + 135*k**2/2 - 644*k. Factor s(b).
-3*(b - 30)*(b + 3)/2
Let w be ((-3082)/(-36))/(3/(-12)). Let p = 344 + w. Suppose 2/3*j**2 + 4/9 - p*j = 0. What is j?
1/3, 2
Let v be (260/819)/((-1390)/(-45036)). Suppose 432/7 + 3/7*t**2 - v*t = 0. Calculate t.
12
Let a(i) be the first derivative of 4*i**3/3 + 852*i**2 + 1038. Solve a(n) = 0 for n.
-426, 0
Let v = -5792 + 5792. Let h(y) be the second derivative of v - 5/12*y**4 + 5/6*y**3 - 6*y + 5*y**2. Solve h(j) = 0 for j.
-1, 2
Let b = 310 - 307. Suppose -4*p**b - 185*p**2 - 128*p**2 + 1024 + 393*p**2 - 512*p = 0. What is p?
4, 8
Let l(d) be the third derivative of d**7/7560 - d**6/1080 - d**5/45 - 17*d**4/24 + 7*d**2 - 1. Let a(k) be the second derivative of l(k). Factor a(r).
(r - 4)*(r + 2)/3
Factor 3572*j + 1152 + 52*j**3 - j**4 + 20*j**3 + 0*j**4 - j**4 - 3800*j - 250*j**2.
-2*(j - 32)*(j - 3)**2*(j + 2)
Let s(p) be the first derivative of -54 - 5/16*p**4 + 0*p + 3/2*p**3 - 9/8*p**2 - 1/5*p**5. Determine d so that s(d) = 0.
-3, 0, 3/4, 1
Suppose 0 = 43*n - 133*n - 55*n + 290. Let g(t) be the third derivative of 0*t**4 + 1/45*t**3 + 0*t - 1/450*t**5 + 0 - 15*t**n. Suppose g(w) = 0. Calculate w.
-1, 1
Let n(o) be the third derivative of 0 + 0*o**3 + 0*o - 1/160*o**6 + 1/840*o**7 - 45*o**2 - 1/240*o**5 + 1/32*o**4. Factor n(y).
y*(y - 3)*(y - 1)*(y + 1)/4
Let h = 8806 + -8806. Let j(z) be the third derivative of h*z**5 - 1/30*z**6 + 0*z**3 + 2*z**2 + 2/3*z**4 + 0 + 0*z. Factor j(x).
-4*x*(x - 2)*(x + 2)
Let f(t) = -6*t + 38. Let g be f(6). Factor -53*n**3 + 35*n**3 - 14*n**g + 2*n - 10*n**4 - 2*n**5 - 6*n.
-2*n*(n + 1)**3*(n + 2)
Find m, given that -140 + 135*m - 2208942*m**3 + 64*m**2 + 2208941*m**3 - 58 = 0.
-3, 1, 66
Let g(b) = -10*b**4 + 57*b**3 + 130*b**2 - 404*b + 240. Let y(o) = 5*o**4 - 29*o**3 - 65*o**2 + 203*o - 120. Let r(m) = 6*g(m) + 13*y(m). Factor r(x).
5*(x - 8)*(x - 1)**2*(x + 3)
Suppose 5*w + 5*w + 4 = 34. Let x be 14/8 - 1/(-2). Let -x*q**4 - 21/4*q**3 + w*q + 0*q**2 + 0 = 0. Calculate q.
-2, -1, 0, 2/3
Suppose 94*v + 865 = 1335. Let a(p) be the third derivative of -1/780*p**6 + 0*p**3 + p**2 - 1/195*p**v + 1 + 0*p + 1/52*p**4. Factor a(z).
-2*z*(z - 1)*(z + 3)/13
Let w(r) be the second derivative of -3*r**5/20 - 13*r**4/2 + 91*r**3/2 + 174*r**2 - 2*r + 5353. Factor w(n).
-3*(n - 4)*(n + 1)*(n + 29)
Factor 55/2*w**2 - 1/2*w**4 + 13*w**3 + 0 + 14*w.
-w*(w - 28)*(w + 1)**2/2
Let l(c) = -c**3 + 12*c + 2. Let q(p) = -2*p**3 + 620*p**2 - 26596*p + 191840. Let a(w) = 2*l(w) + q(w). Factor a(v).
-4*(v - 73)**2*(v - 9)
Let n = -21 - -23. Factor 3*m**n + 4*m**3 + 9*m**2 - 8*m**2.
4*m**2*(m + 1)
Let l be -84 + (-7808)/(-96) + (1 - -5). Factor -l*q**3 + 15*q**2 - 20/3 - 5*q.
-5*(q - 4)*(q - 1)*(2*q + 1)/3
Let v(p) be the third derivative of -1/84*p**7 - 36*p**2 + 1/4*p**5 + 1/16*p**6 - 5/6*p**4 + 0*p + 0 + 0*p**3. Let v(a) = 0. Calculate a.
-2, 0, 1, 4
Suppose -3*r + 5*p = 197, 6*p - p + 98 = -2*r. Let k = r - -62. Let -3*y**4 - 8*y**5 + 3*y**2 - 8*y - y**4 + y**2 + 4*y**5 + 12*y**k = 0. Calculate y.
-2, -1, 0, 1
Find n, given that 20*n + 1232/3*n**2 + 4/9*n**5 + 136/9*n**4 + 1384/9*n**3 - 600 = 0.
-15, -3, -2, 1
Let w(r) be the third derivative of -r**6/720 + r**5/24 + 3*r**4/8 - 16*r**2 - 34*r. Factor w(z).
-z*(z - 18)*(z + 3)/6
Let u = -564610 + 564610. What is t in 0 + 32/11*t**2 - 76/11*t**3 + 38/11*t**4 + u*t + 6/11*t**5 = 0?
-8, 0, 2/3, 1
Let f(l) be the third derivative of -l**6/360 + 19*l**5/120 - 3*l**4/4 + 31*l**3/6 + 5*l**2 - 4. Let a(q) be the first derivative of f(q). Factor a(d).
-(d - 18)*(d - 1)
Suppose -65 = -16*v + 15. Let y(l) be the first derivative of -17/14*l**4 + 3*l**2 + 38/21*l**3 + 17 - 36/7*l + 6/35*l**v. Suppose y(a) = 0. What is a?
-1, 2/3, 3
Let u(o) = 4*o**2 + 9*o + 3. Let v(i) = -3*i**2 - 5*i - 2. Let w(z) = 6*z**2 + 8*z + 4. Let l(r) = -5*v(r) - 2*w(r). Let n(j) = 3*l(j) - 2*u(j). Factor n(x).
x*(x + 9)
Let l = -6 + 18. Suppose -3*i - h = -1, 2*i + 2*h = 3*i - l. Factor -4*v**2 + v**i + 5*v**2 - 2*v.
2*v*(v - 1)
Let x(n) = -4*n**4 + 156*n**3 - 295*n**2 - 171*n + 296. Let w(q) = q**2 + 5*q. Let t(c) = -3*w(c) - x(c). Solve t(d) = 0.
-1, 1, 2, 37
Let s(t) = -t**2 - 3*t + 212. Let u(g) = -g**2 - 4*g + 211. Let y(o) = 4*s(o) - 5*u(o). Let i be y(11). Factor -2/13*r**3 - 6/13 - 10/13*r**i - 14/13*r.
-2*(r + 1)**2*(r + 3)/13
Let c(f) = 393*f + 4. Let g be c(0). Let d(n) be the third derivative of -5/9*n**5 + 16*n**2 + 23/18*n**g + 4/9*n**3 + 0*n + 0. Factor d(w).
-4*(w - 1)*(25*w + 2)/3
Let w = -336/5 + 697/10. Let d(q) be the first derivative of q**5 - w*q**2 + 0*q + 32 - 5/3*q**3 + 5/4*q**4. Factor d(i).
5*i*(i - 1)*(i + 1)**2
Let k(f) be the second derivative of 1/48*f**4 + 1/40*f**5 + 0*f**2 + 1/120*f**6 + f - 4 + 0*f**3. Factor k(y).
y**2*(y + 1)**2/4
Let l(d) = -d**3 - 4*d**2 - 4*d - 1. Let y be l(-3). Suppose 6*x - 4*x = 24. What is c in -17/4*c**y - 53/4*c**4 + 5*c**5 + 0 + 1/2*c + x*c**3 = 0?
0, 1/4, 2/5, 1
Let v(h) be the first derivative of -55 + 2/25*h**5 - 8/15*h**3 + 0*h + 0*h**4 + 0*h**2. Let v(i) = 0. What is i?
-2, 0, 2
Factor 122*g + 28106 + 598*g - 3*g**2 + 300*g - 114806.
-3*(g - 170)**2
Factor -2/13*p**2 + 594/13 + 48/13*p.
-2*(p - 33)*(p + 9)/13
Let b(g) be the third derivative of g**7/21 + 47*g**6/60 + 8*g**5/5 - 17*g**4/3 - 32*g**3/3 + 4*g**2 + 14*g + 8. Suppose b(p) = 0. Calculate p.
-8, -2, -2/5, 1
Let h be -3*3/((-18)/4). Let x = 633 + -630. Factor -7*y**2 - h*y**2 - 12*y - 2 + 6*y**x + 3*y**4 + 14.
3*(y - 1)**2*(y + 2)**2
Let x(t) be the second derivative of -5*t**6/51 - 2*t**5/51 - t**4/204 - 26*t**2 - 66*t. Let b(s) be the first derivative of x(s). Factor b(r).
-2*r*