7*t = 0. What is t?
-46
Let o(y) = -y**3 - 261*y**2 + 1000*y - 11. Let k(d) = -d**3 - 131*d**2 + 500*d - 6. Let m(i) = 11*k(i) - 6*o(i). Factor m(x).
-5*x*(x - 20)*(x - 5)
Let o = 580 - 584. Let l be (-3 - 7/o)/(40/(-16)). Factor -3 - l*n**2 - 7/2*n.
-(n + 1)*(n + 6)/2
Let q(t) be the first derivative of t**5/20 - 7*t**4/8 - 9*t**3 + 75*t**2/2 + 87. Let d(o) be the second derivative of q(o). Factor d(b).
3*(b - 9)*(b + 2)
Suppose 23 - 69 - 118 = -82*w. Factor -12/5*q - 2/5*q**3 + 0 + w*q**2.
-2*q*(q - 3)*(q - 2)/5
Let a(b) = -b**4 + b**3 + b**2 - 4. Let u(y) = y**5 + 1477*y**4 + 544641*y**3 - 1095199*y**2 - 4. Let h(t) = -4*a(t) + 4*u(t). What is z in h(z) = 0?
-740, 0, 2
Let h(n) = -34*n**2 - 120*n - 20. Let z(k) = -2*k**2 - k. Let m be (2/(-1))/(4/12). Let f(u) = m*z(u) + h(u). Factor f(b).
-2*(b + 5)*(11*b + 2)
Let b(r) = 283 - 72 + 376 + 13*r. Let g be b(-45). Factor -8/13*s**g - 2/13*s - 2/13*s**5 + 0 - 12/13*s**3 - 8/13*s**4.
-2*s*(s + 1)**4/13
Let m(w) = -42*w**2 - 446*w - 2924. Let c(y) = 2*y**2 - y + 2. Let d(l) = -44*c(l) - 2*m(l). Factor d(a).
-4*(a - 240)*(a + 6)
Factor 20/23 + 2/23*x**2 - 22/23*x.
2*(x - 10)*(x - 1)/23
Let j be (-16)/12 - (14 - 1196/69). Solve 6/5*s**5 + 0*s**j + 0*s + 0 - 8/5*s**4 + 2/5*s**3 = 0 for s.
0, 1/3, 1
Find b such that 7922*b + 7933*b + 9 - 33*b**2 - 15879*b = 0.
-1, 3/11
Let h = -58647 - -58649. Factor 8/3*m + h + 2/9*m**4 - 8/9*m**3 - 4/9*m**2.
2*(m - 3)**2*(m + 1)**2/9
Suppose -3*g + 2 + 16 = 0. Suppose g*j**2 + 6*j - 8 + 4*j**2 + 8*j**2 - 16*j**2 = 0. Calculate j.
-4, 1
Let z be ((-310)/93)/((-3)/(-864)). Let i = -1915/2 - z. Find g, given that -10*g - 10 + 10*g**3 + i*g**4 + 15/2*g**2 = 0.
-2, -1, 1
Factor 27/2*f - 99 + 1/2*f**2.
(f - 6)*(f + 33)/2
Solve 2/15*d**2 + 544/5 + 164/3*d = 0 for d.
-408, -2
Factor 1/3*r**2 + 187/3 - 28/3*r.
(r - 17)*(r - 11)/3
Suppose -1/4*z**4 + 0 - 41/2*z + 43/4*z**2 + 10*z**3 = 0. What is z?
-2, 0, 1, 41
Let x(u) be the first derivative of 16 - 13/6*u**2 + 1/18*u**3 + 0*u. Factor x(g).
g*(g - 26)/6
Let x be 0*(2 + (-6)/4 - 1). Suppose 3*p + 2*w = 11 + 34, 3*p + 5*w - 45 = x. Factor 29*i**2 - 8 - 10*i**2 - 4*i - p*i**2.
4*(i - 2)*(i + 1)
Factor -166*i**3 + 249001/6 + 123503/3*i**2 + 82834*i + 1/6*i**4.
(i - 499)**2*(i + 1)**2/6
Determine y so that -1384/15*y**2 - 2/15*y**4 - 20/3*y**3 + 7406/5 - 460/3*y = 0.
-23, -7, 3
Suppose 0 - 2/5*i**4 - 16/5*i**2 + 8/5*i + 2*i**3 = 0. Calculate i.
0, 1, 2
Suppose -n = 14 - 12. Let i be n + (28/(-8))/((-2)/4). Factor -4*s**3 + 0*s**5 + 0*s**i - 8*s**2 + 6*s**4 + 4*s**5 + 2*s**4.
4*s**2*(s - 1)*(s + 1)*(s + 2)
Let f(l) be the third derivative of l**5/25 + 7*l**4/12 + 5*l**3/3 - 6004*l**2. Factor f(z).
2*(z + 5)*(6*z + 5)/5
Let h(y) = 77*y - 150. Let g = 2218 - 2216. Let p be h(g). Determine o, given that 2/3*o**2 + 0*o**3 - 2/3*o**p + 0 + 0*o = 0.
-1, 0, 1
Let b(h) = 2*h**3 + 8*h**2 + 9*h. Let i be b(-2). Let d(x) = x**2 + 24*x - 19. Let w(l) = 2. Let z(m) = i*d(m) + 6*w(m). Factor z(v).
-2*(v - 1)*(v + 25)
Let i(t) be the first derivative of -1/40*t**6 + 1/20*t**5 + 0*t + 1/4*t**4 + 0*t**3 + 21/2*t**2 + 22. Let v(c) be the second derivative of i(c). Factor v(q).
-3*q*(q - 2)*(q + 1)
Let s(f) be the second derivative of 1/168*f**7 + 21 - 1/40*f**5 + 1/24*f**3 + 0*f**6 + 0*f**2 + 0*f**4 + 3*f. Let s(x) = 0. What is x?
-1, 0, 1
Let s(w) be the third derivative of w**6/300 + 22*w**5/75 - 19*w**4/12 - 46*w**3/5 + 2512*w**2. Factor s(c).
2*(c - 3)*(c + 1)*(c + 46)/5
Let m(v) be the second derivative of 0*v**3 + 7/50*v**5 + 37/150*v**6 + 0*v**2 + 0 - 141*v + 0*v**4 + 1/42*v**7. Find n, given that m(n) = 0.
-7, -2/5, 0
Suppose -5*p = -h + 25, 0*h - 2*p = h + 3. What is y in -h*y - 4*y**4 + 6 - 4 - y + 4*y**3 + y + y**5 + 2*y**2 = 0?
-1, 1, 2
Let x(b) be the third derivative of 0 - 13/24*b**4 + 4*b**2 + 7/6*b**3 + 1/10*b**5 + 0*b. Let c(s) = 2*s**2 - 4*s + 2. Let p(n) = 7*c(n) - 2*x(n). Factor p(g).
2*g*(g - 1)
Let j(o) be the first derivative of -20/7*o - 2/21*o**3 - o**2 + 192. Determine f, given that j(f) = 0.
-5, -2
Let t(q) = -268*q**2 + 192*q - 264. Let f(n) = 48*n**2 - 35*n + 48. Let r(h) = -28*f(h) - 5*t(h). Let r(m) = 0. Calculate m.
2, 3
Let j(p) = -15*p**2 + 897*p + 2. Let b(d) = -110*d**2 + 6280*d + 15. Let f(x) = 2*b(x) - 15*j(x). Factor f(w).
5*w*(w - 179)
Factor 2/5*g**2 + 92/5*g + 82.
2*(g + 5)*(g + 41)/5
Let n(j) be the third derivative of j**6/720 - 13*j**5/360 + 11*j**4/36 - 8*j**3/9 + 46*j**2 + 3*j + 14. Solve n(s) = 0 for s.
1, 4, 8
Let b(z) = z**2 - 1124*z + 22082. Let l be b(20). Factor 18/7*k - 2/7*k**4 - 10/7*k**3 + 0 - 6/7*k**l.
-2*k*(k - 1)*(k + 3)**2/7
Let c(i) be the second derivative of i - 1/12*i**4 - 2/15*i**3 + 2/5*i**2 - 46 + 3/100*i**5. Determine a, given that c(a) = 0.
-1, 2/3, 2
Determine i, given that -7/2*i**2 - 31/2*i**3 + 7/2*i**4 + 0 + 15*i + 1/2*i**5 = 0.
-10, -1, 0, 1, 3
Let f(y) be the third derivative of y**5/15 + 913*y**4/3 + 1667138*y**3/3 + 5053*y**2. Find w such that f(w) = 0.
-913
Let 225/2*p**3 + 3/4*p**5 - 159/4*p**4 + 0*p**2 + 0 + 0*p = 0. Calculate p.
0, 3, 50
Let y be (19/(-3))/(32*969/(-1632)). Find j, given that y*j - 1/3*j**3 - 1/3 + 1/3*j**2 = 0.
-1, 1
Let h = -299 + 300. Factor -4*w**2 - 1 - 2168*w + 2136*w + h.
-4*w*(w + 8)
Let n(s) be the first derivative of -5*s**4/4 + 1645*s**3 - 1623615*s**2/2 + 178056445*s + 1229. Factor n(y).
-5*(y - 329)**3
Let m(s) be the second derivative of -23*s**4/3 + 34*s**3/5 - 4*s**2/5 - 934*s. Factor m(p).
-4*(5*p - 2)*(23*p - 1)/5
Let w(f) be the third derivative of f**6/210 + 2593*f**5/35 + 6723649*f**4/14 + 34868843714*f**3/21 + f**2 - 359*f + 2. Determine l so that w(l) = 0.
-2593
Solve 2/9*w**2 - 746/3*w + 0 = 0.
0, 1119
Let d(v) be the third derivative of 11*v**7/490 - 263*v**6/420 - 13*v**5/84 + 263*v**4/84 + 16*v**3/21 - 2191*v**2. Solve d(j) = 0.
-1, -2/33, 1, 16
Let f be ((-8)/(120/135))/((-3)/(-266)). Let n be 2/(-6) - f/630. Let 2/15*j**3 + 4/15*j**2 - n*j + 8/15 = 0. Calculate j.
-4, 1
Suppose 3*h + 44 = a + 7*h, -4*a = -h + 11. Factor -3/8*f**5 + 15/8*f**2 + 0 + 21/8*f**4 - 33/8*f**3 + a*f.
-3*f**2*(f - 5)*(f - 1)**2/8
Solve -15 + 40*b + 2*b**2 + 28 + 27 + 11 + 21 = 0 for b.
-18, -2
Let a(i) be the third derivative of i**9/3780 + 5*i**8/1008 + i**7/30 + i**6/20 + 107*i**5/60 - 75*i**2. Let f(d) be the third derivative of a(d). Factor f(j).
4*(j + 3)**2*(4*j + 1)
Let p = 796428 - 796425. Let 143/3*s**2 + 34/3*s**p - 44*s - 12 - 3*s**4 = 0. Calculate s.
-3, -2/9, 1, 6
Let o(n) be the third derivative of 0 - 22*n + 0*n**3 + 0*n**7 + 1/1344*n**8 - 1/40*n**5 + 0*n**4 - 7/480*n**6 - 4*n**2. Suppose o(w) = 0. Calculate w.
-2, -1, 0, 3
Factor 543/4*u + 294849/8 + 1/8*u**2.
(u + 543)**2/8
Let m(r) be the first derivative of -r**3/3 + 96*r**2 - 385. Factor m(h).
-h*(h - 192)
Let r(m) be the first derivative of -2*m**3/9 + 239*m**2/3 + 411. Suppose r(v) = 0. Calculate v.
0, 239
Determine g, given that 578/9*g**4 + 716*g**2 + 18 + 408*g**3 + 216*g = 0.
-3, -3/17
Let c(s) be the third derivative of 7/60*s**5 + 3*s + 0 + 19*s**2 - 7/6*s**3 + 1/240*s**6 - 1/48*s**4. Factor c(o).
(o - 1)*(o + 1)*(o + 14)/2
Let k(c) be the third derivative of -c**5/390 + 185*c**4/78 - 123*c**3/13 + 2*c**2 + 76*c. Factor k(u).
-2*(u - 369)*(u - 1)/13
Suppose -b = -5*k - 22, -5*b = -4*b + 5*k - 2. Let -37*y**4 - b*y**5 - 22*y**4 + 9*y**3 + 74*y**4 - 15*y**2 + 3*y = 0. What is y?
-1, 0, 1/4, 1
Suppose 0 = -75*t + 82*t + 770. Let b be 92/22 - (-4 + (-460)/t). Factor -2/5*g + 4/5*g**2 + 0 + 2/5*g**5 + 0*g**3 - 4/5*g**b.
2*g*(g - 1)**3*(g + 1)/5
Let x(g) be the second derivative of -3*g**5/20 + 7*g**4/2 - 25*g**3/2 + 18*g**2 - 2*g + 336. Factor x(c).
-3*(c - 12)*(c - 1)**2
Let -5*r**3 + 8*r**2 - 6*r - 3*r**2 + 6*r**3 - 10*r**2 + 6*r**2 = 0. What is r?
-3, 0, 2
Let q(n) = n**3 + n. Let j(y) = -38*y - 28*y + 109*y - 20*y - y**3 - 26*y**2. Let t(b) = 2*j(b) + 4*q(b). Factor t(g).
2*g*(g - 25)*(g - 1)
Solve 2*w**3 + 435*w**2 + 0*w**3 - 114*w - 434*w**2 + 16*w + 176 = 0 for w.
-8, 2, 11/2
Let q be 15 + 2261/(-228) + ((-416)/24)/13. Suppose 0 - 21/4*n + q*n**2 = 0. Calculate n.
0, 7/5
Let u(l) be the third derivative of 1/945*l**7 + 4/9*l**5 + 0 + 0*l - 1/30*l**6 - 175/54*l**4 + 125/9*l**3 - 177*l**2. Find r such that u(r) = 0.
3, 5
Let n be (18241/156)/29 + (2 - 6). Let u(