 2*a**4/3 - 4*a**3/3 - 8*a**2 + 49*a. Let w(l) be the first derivative of j(l). Factor w(f).
-2*(f + 2)*(3*f + 2)
Suppose 4*a - 9*a + 55 = 0. Suppose a*x + 3 = 12*x. Solve 12*j**3 - 4*j**2 - 18*j**3 + 4*j**5 + 12*j**2 + 20*j + 4*j**4 - 12 - 18*j**x = 0.
-3, -1, 1
Find b such that -53/10*b**2 + 68/5*b**3 - 91/10*b - 8/5*b**4 + 12/5 = 0.
-3/4, 1/4, 1, 8
Let 354*i**2 + 928*i**3 - 401*i - 926*i**3 - 32*i + 77*i = 0. What is i?
-178, 0, 1
Let c(x) be the third derivative of x**7/14 - 145*x**6/24 + 237*x**5/4 - 4975*x**4/24 + 215*x**3 - 22*x**2 - x - 14. Solve c(o) = 0.
1/3, 2, 3, 43
Let i be (-2)/7 - 72/(-168). Solve i*g**4 + 43/7*g**2 + 69/7*g + 11/7*g**3 + 36/7 = 0 for g.
-4, -3, -1
Let g(x) be the first derivative of x**6/300 + x**5/150 - 76*x**2 + 24. Let d(f) be the second derivative of g(f). Factor d(n).
2*n**2*(n + 1)/5
Suppose -32 = -5*s - f, f + 416 = -4*s + 443. Let v(i) be the third derivative of 22*i**2 + 1/6*i**3 + 0*i + 0 - 1/60*i**s + 0*i**4. Factor v(p).
-(p - 1)*(p + 1)
Let t(o) be the second derivative of 1/80*o**5 - 7/24*o**3 + 1/2*o**2 - 3*o - 4 + 1/24*o**4. Suppose t(x) = 0. What is x?
-4, 1
Let s(b) = b + 36. Let a be s(-9). Factor -16 + 6*u + 23*u**2 + a*u**2 - 49*u**2.
(u - 2)*(u + 8)
Suppose -h - 3*y = -3, 0 = h - 2*h - y + 3. Suppose -3*a + 3*l = -27, 1 + 0 = 4*a + h*l. Factor 0*g**4 - 12*g**5 + 32*g**5 - 22*g**5 - 6*g**a - 4*g**3.
-2*g**3*(g + 1)*(g + 2)
Let t = -12140 - -12145. Let m(p) be the third derivative of -2*p**2 + 0*p**3 + 1/40*p**6 + 1/20*p**t - 3/4*p**4 + 0 + 0*p. Suppose m(x) = 0. Calculate x.
-3, 0, 2
Find l, given that 38*l**3 + 32*l**2 + 56*l**2 - 38*l**4 - 18*l**3 - 185*l + 34*l**4 - 39*l = 0.
-4, 0, 2, 7
Let c(n) = 16*n**4 + 64*n**3 + 6*n**2 + 6*n. Let w(q) = 17*q**4 + 65*q**3 + 7*q**2 + 5*q. Let p = -9 - -3. Let s(x) = p*w(x) + 5*c(x). Factor s(u).
-2*u**2*(u + 3)*(11*u + 2)
Let t be (8*((-60)/66)/5)/((-2)/11). Factor -16/3*j + 0 + 32/3*j**2 - 1/3*j**5 + 8/3*j**4 - t*j**3.
-j*(j - 2)**4/3
Factor 8*d**3 - 2213*d + 668*d - 420 + 680*d + 36*d**2 + 761*d.
4*(d + 3)*(d + 5)*(2*d - 7)
Let o(p) = -271*p**2 + 82656*p - 302. Let t be o(305). Factor 2/5*c**t + 34*c - 60 - 32/5*c**2.
2*(c - 6)*(c - 5)**2/5
Let r = 2 + 1. Let u(v) = -16*v**2 - 388*v - 2274. Let j be u(-10). Factor j*c - 14/5*c**2 + 2/5*c**r - 18/5.
2*(c - 3)**2*(c - 1)/5
Suppose 19*o + 455 = 5*r + 20*o, 0 = -r - o + 95. Suppose -74*g = -r - 132. Suppose 0*p + 1/4*p**5 + 0 + 1/4*p**4 - 1/4*p**g - 1/4*p**2 = 0. Calculate p.
-1, 0, 1
Let u(x) be the first derivative of -47*x**2 + 40*x**3 - 403*x**2 - 97 - x**4 + 15. Factor u(w).
-4*w*(w - 15)**2
Let g(a) be the third derivative of -9/5*a**3 - 93*a**2 - 13/20*a**5 + 3/350*a**7 + 0 + 61/40*a**4 + 0*a + 19/200*a**6. Let g(t) = 0. Calculate t.
-9, 2/3, 1
Let r = -19166 - -95831/5. Factor -r*y + 1/5*y**3 + 1 - y**2.
(y - 5)*(y - 1)*(y + 1)/5
Suppose -4*l + 301 = -183. Factor l + 3*u**2 - 23*u + u**2 - 17 - 37*u.
4*(u - 13)*(u - 2)
Suppose n = 0, o + 5*n - 4 = n. Let m be (-4)/(-26) + (-10)/3575*-88. Find y, given that 0*y**2 + 0*y**o - m*y + 1/2*y**3 - 1/10*y**5 + 0 = 0.
-2, -1, 0, 1, 2
Factor -42/5*j**2 + 152/5*j + 192/5 - 2/5*j**3.
-2*(j - 4)*(j + 1)*(j + 24)/5
Determine h so that 0 - 27/4*h**4 + 0*h - 99/8*h**3 - 3/8*h**5 - 6*h**2 = 0.
-16, -1, 0
Let w(u) = -10*u - 38. Let q be w(6). Let h = -94 - q. Let 72*s**2 - 60*s - 12*s**2 + 12*s**h + 66*s**2 - 69*s**3 - 24 = 0. What is s?
-1/4, 2
Let l(r) be the third derivative of -44/3*r**3 + 0*r - 23/6*r**4 + 0 - r**2 - 1/15*r**5. Factor l(f).
-4*(f + 1)*(f + 22)
Let h = -1/2973 + 1652/991. Let w(g) be the third derivative of h*g**3 - 5/24*g**4 - 1/6*g**5 - 3*g**2 + 1/24*g**6 + 0 + 0*g. Solve w(m) = 0.
-1, 1, 2
Let b be (-12)/(-1) + ((-25000)/50)/50. Factor 3/4*o**4 - 21/4*o**3 + 45/4*o**b + 0 - 27/4*o.
3*o*(o - 3)**2*(o - 1)/4
Let h(y) be the third derivative of -1/120*y**5 + 0*y + 1/8*y**4 + 0*y**3 - 1/240*y**6 + 0 - 37*y**2. Suppose h(o) = 0. What is o?
-3, 0, 2
Suppose 3*d - 5 = -5*q + 8, 0 = 4*d - 4. Let f be (648/(-6426))/(q/(-21)). Factor 8/17 + 4/17*t**2 - f*t.
2*(t - 4)*(2*t - 1)/17
Factor 108*z**3 + 61*z**2 + 185*z**2 + 400*z - 260 - z**2 - 118*z**3.
-5*(z - 26)*(z + 2)*(2*z - 1)
Find n, given that 5075 + 18*n**2 - 5*n**2 - 5080*n - 4*n**2 - 4*n**2 = 0.
1, 1015
Factor 328*c + 49*c**2 - 19 + 50*c**2 - 82*c**3 + 35 - 103*c**2.
-2*(c - 2)*(c + 2)*(41*c + 2)
Suppose 18 = -7*v + 16*v. Suppose 20 - v*g**2 - 14 - 10 + 7*g - g**3 = 0. Calculate g.
-4, 1
Let c(h) be the third derivative of 0*h**3 + 3 + 8/45*h**6 + 4/9*h**4 + 1/63*h**7 + 19*h**2 + 26/45*h**5 + 0*h. Determine o, given that c(o) = 0.
-4, -2, -2/5, 0
Let u(h) = 3*h**2 + h + 1. Let i(l) = -13*l**2 + 185*l - 3. Let d = 387 - 386. Let w(r) = d*i(r) + 3*u(r). Find p such that w(p) = 0.
0, 47
What is c in 15*c**2 + 18 + 23531*c**4 - 35*c - 8 + 35*c**3 - 23556*c**4 = 0?
-1, 2/5, 1
Suppose -4*l + l - 10 = -2*g, -5*g + 36 = -2*l. Suppose -g*r + 15*r = 14. Find t, given that 6*t - 5*t + 4*t**r - 12*t - 13*t = 0.
0, 6
Let f(p) be the third derivative of p**8/14 - 16*p**7/525 - 113*p**6/300 + p**5/6 + 53*p**4/60 - 3*p**3/5 - p**2 - 5*p + 65. Determine a so that f(a) = 0.
-1, -9/10, 1/6, 1
Factor -1992 + 3095*a - 194055*a**2 + 189061*a**2 + 13*a**3 + 3881*a - 3*a**3.
2*(a - 498)*(a - 1)*(5*a - 2)
Determine o, given that 6245*o - 5531*o**2 - 5530*o**2 - 45 + 11046*o**2 - 2035 = 0.
1/3, 416
Let z(w) = -9*w**2 + 62*w + 31. Let p(i) = 2*i**2 - 2*i + 4. Let h(d) = 15*p(d) + 3*z(d). Factor h(y).
3*(y + 1)*(y + 51)
Let r(a) = 632*a - 132*a**2 + 1334*a + 3*a**3 - 512*a. Let m(f) = 30*f**3 - 1320*f**2 + 14541*f. Let j(w) = -2*m(w) + 21*r(w). Factor j(q).
3*q*(q - 22)**2
Let q(y) = y - 22. Let z be q(37). Find a such that 4*a**2 + 10*a**3 - a + 9*a**4 + 3*a**4 - z*a - 10*a**4 = 0.
-4, -2, 0, 1
Let i(g) = -g**2 + g + 1. Let k(p) be the third derivative of p**6/60 - 17*p**5/60 + 11*p**4/24 + 19*p**3/6 - p**2. Let t(j) = 22*i(j) - 2*k(j). Factor t(u).
-4*(u - 2)**2*(u + 1)
Suppose -3*q + 704 = t, -3*t + 2*q + 2816 = t. Suppose 0 = 7*b - t - 304. Factor b + 5*h - 14*h + h**2 - 15*h.
(h - 12)**2
Suppose 21*a - 18 = -5*a - 21 + 81. Factor 0 + 2/9*n**a + 4/9*n - 2/3*n**2.
2*n*(n - 2)*(n - 1)/9
Let l be (30/20)/((-6)/(-124)). Suppose l*a + 440 = 36*a. Find b such that b**3 + 171*b**2 - a*b**2 - 84*b**2 = 0.
0, 1
Let f(d) be the second derivative of -d**6/70 + 72*d**5/35 - 243*d**4/2 + 26244*d**3/7 - 885735*d**2/14 + 4789*d. Factor f(q).
-3*(q - 27)**3*(q - 15)/7
Suppose -3*r**4 - 1062*r**3 - 918*r**2 - 3136*r**2 + 1367*r**2 - 8352 - 3613*r**2 - 12552*r = 0. Calculate r.
-348, -2
Factor -865*b**2 - 64671 - 857*b**2 + 1723*b**2 + 310687 + 992*b.
(b + 496)**2
Suppose -11 = -41*b + 30. Let d be ((13 - 13)/5)/(1 + b). Let d*j + 2/19 - 2/19*j**2 = 0. Calculate j.
-1, 1
Let n be (10 + -2)*(-7 - (-90)/12). Factor 20*l**2 - 32*l**5 + 382 - 382 + 15*l**3 + 27*l**5 - 10*l**n - 20*l.
-5*l*(l - 1)**2*(l + 2)**2
Factor -166*a**2 - 487227 + 163*a**2 - 350*a - 1543*a - 525*a.
-3*(a + 403)**2
Let x be (-11)/(55/(-225)) + (-5)/(-1). Suppose 29*g + 105 = x*g. Let -g + 2*i - 1/5*i**2 = 0. What is i?
5
Let o(f) = 2*f - 1. Let s be o(2). Let t be 2*(-5 + 1)*509/(-2036). Suppose -2 + s*m**t + 3/2*m - 5/2*m**3 = 0. What is m?
-4/5, 1
Let q be (-12 - 2192/(-112)) + (-4)/7. Let h be (-48)/(-33)*q - 10. Suppose 2/11*j + h*j**2 - 12/11 = 0. What is j?
-3, 2
Let r(j) = -j + 0*j + 4*j - 1 - j**2 + 2*j**2. Let l be r(-4). Solve -2*i**2 - l*i**3 - 7*i**4 + 4*i**4 + i**2 + 7*i**2 = 0.
-2, 0, 1
Let y(h) be the first derivative of -h**6/3 + 22*h**5/5 - 18*h**4 + 32*h**3/3 + 64*h**2 - 1029. Factor y(q).
-2*q*(q - 4)**3*(q + 1)
Let r(f) be the third derivative of -7*f**6/240 - 17*f**5/20 - 39*f**4/4 - 54*f**3 + 321*f**2. Factor r(o).
-(o + 6)**2*(7*o + 18)/2
Let g = 325 - 324. Let x(f) = 35*f**4 - 45*f**3 - 35*f**2 + 165*f - 120. Let w(j) = j**4 - j**3 + j - 1. Let c(h) = g*x(h) - 30*w(h). Solve c(t) = 0 for t.
-3, 1, 2, 3
Let a(u) be the third derivative of -u**6/660 + 76*u**5/165 - 1444*u**4/33 + u**2 - 356*u. Factor a(o).
-2*o*(o - 76)**2/11
Suppose 0 - 3/10*s**3 + 2/5*s - 11/10*s**2 = 0. What is s?
-4, 0, 1/3
Let v = 82365 + -82360. Suppose -5*m = 5*t - 15, -m = 3*t + t - 12. Determine z so that 40/13*z**v - 34/13*z**2 + 0 + 4/13*z + 96/13*z**t - 106/13