et r(p) = -i(p) - 6*s(p). Factor r(q).
-5*(q - 1)**2*(q + 18)
Let b(c) = -15*c**2 + 44038*c - 32369367. Let z(h) = 65*h**2 - 190830*h + 140267255. Let v(n) = -35*b(n) - 8*z(n). Find s such that v(s) = 0.
1469
Solve 2*n**2 + 64*n**2 + 5*n**4 - 4*n**5 - 6 - 125*n**2 + 0 + 37*n + 27*n**3 = 0 for n.
-3, 1/4, 1, 2
Let w(j) be the first derivative of 2*j**3/3 - j**2/2 + 2*j - 274. Let b(n) = 6*n**3 - 48*n**2 + 107*n - 62. Let a(y) = -b(y) + w(y). Factor a(k).
-2*(k - 2)*(k - 1)*(3*k - 16)
What is n in -136 + 121 + 48*n - 4*n**2 - 65 = 0?
2, 10
Let f be (0 + 0)/((5/(-5))/1). Suppose f = -3*s + 4*s - 11. Factor -8*x + 26*x - 3*x**3 - 4*x**2 - s*x**2 + 18*x**2.
-3*x*(x - 3)*(x + 2)
Let h(n) be the first derivative of -n**6/3 - 38*n**5/5 + 46*n**4 + 11062. Factor h(t).
-2*t**3*(t - 4)*(t + 23)
Let t(w) be the first derivative of w**4/38 - 412*w**3/57 - 1263*w**2/19 - 3816*w/19 - 13045. Factor t(q).
2*(q - 212)*(q + 3)**2/19
Let k be 8/(-3) - (-20482)/(-231). Let f = k + 1478/15. Factor -1/5*i**3 - 12/5*i**2 + 0 - f*i.
-i*(i + 6)**2/5
Let d be (1 - (-4)/8)*4. Let q(s) be the second derivative of 0 + 14*s - 27/20*s**5 + s**3 + 0*s**2 - 1/2*s**d + 5/4*s**4 + 1/2*s**7. What is y in q(y) = 0?
-1, -2/7, 0, 1
Suppose 31*r = -2*a + 26*r + 1, 4*a - 16 = 4*r. Let y(b) be the first derivative of -8 + 0*b + 1/16*b**4 + 1/4*b**2 - 1/4*b**a. Factor y(v).
v*(v - 2)*(v - 1)/4
Let m(c) = -c**2 + 10*c - 87. Let o be m(7). Let h be 96/22 - (-24)/o. Factor 0*r + 1/5*r**3 - 1/5*r**2 + 1/5*r**h - 1/5*r**5 + 0.
-r**2*(r - 1)**2*(r + 1)/5
Let 257*w**4 - 252*w**4 - 5*w**3 - 40*w**3 + 120*w**2 - 100*w = 0. Calculate w.
0, 2, 5
Let -3*p**3 - 75*p**2 + 75/2*p**4 + 75/2 + 3/2*p + 3/2*p**5 = 0. Calculate p.
-25, -1, 1
Let 640*q**3 + 56*q - 555*q**2 - 115*q - 28*q**5 + 404*q**2 - 345*q**2 + 76*q**4 - 133*q = 0. Calculate q.
-4, -2/7, 0, 1, 6
Let f = 340 - 159. Suppose -12*z - 80 = -85*z + 66. Factor 10*m + f*m**2 - 88*m**z - 88*m**2.
5*m*(m + 2)
Let f = 98 - 89. Suppose -f - 15 - 4*z**3 + 3*z**2 - 3*z**2 + 28*z = 0. Calculate z.
-3, 1, 2
Let h(x) = x**3 - 5*x**2 - 105*x + 4. Let t be h(-8). Let q be 48/(-40)*(-45)/t. Factor -q*s - 1 + 11/2*s**2.
(s - 1)*(11*s + 2)/2
Let -84/11 - 10*l - 2/11*l**3 - 28/11*l**2 = 0. What is l?
-7, -6, -1
Suppose -4*o - a + 5 = 0, 2*a = -2*a - 12. Factor 20*t**3 - 32*t**o - 32*t**5 + 52*t**4 + 12*t**5 + 256*t - 116*t**3 - 192 + 12*t**5.
-4*(t - 2)**4*(2*t + 3)
Let b(q) = -7*q**2 + 5 - 3 - 699*q + 0*q**2 + 695*q + q**3 + 2*q**2. Let z be b(-1). Find f, given that 0*f**2 + z - f**4 + 1/3*f**5 + 0*f + 2/3*f**3 = 0.
0, 1, 2
Let u be 6 + (13189/(-528) - -19). Let n(g) be the second derivative of 1/12*g**3 - u*g**4 + 0 + 6*g - 1/8*g**2. Factor n(p).
-(p - 1)**2/4
Let k(o) be the second derivative of -42471289*o**4/3 + 52136*o**3/3 - 8*o**2 - o - 343. Let k(g) = 0. What is g?
2/6517
Let s = -52393 - -52393. Factor 0*h + s + 0*h**3 + 0*h**2 + 2/7*h**5 - 4/7*h**4.
2*h**4*(h - 2)/7
Let y be ((-14)/12)/((-82)/72570). Let c = y - 1032. What is v in -1/2*v**4 - 5/2*v**2 + 0 + 17/8*v**3 + c*v = 0?
0, 1/4, 2
Suppose -24 = -2*h + 2*g, -12*h - 21 = -10*h + 3*g. Let c(r) be the third derivative of 1/15*r**5 - 2 - 4/3*r**4 + 0*r**h - 4*r**2 + 0*r. What is k in c(k) = 0?
0, 8
Let n be ((-1)/2)/((-1)/6). Let u be (18/(-15))/(119/(-35) - -3). Factor 2*q + 5*q**2 - 3 - n*q**2 + 3 - 2*q**u - 2.
-2*(q - 1)**2*(q + 1)
Suppose 0 = -705*c + 661*c + 308. Let x be (-5)/(-2)*12/10. Let -o**3 + o**2 + o**3 + 2*o**3 - o**4 + 5*o - c*o**x = 0. What is o?
-5, -1, 0, 1
Let r be (-2)/6 + (-1372)/294. Let p be (-6608)/(-1680) + 3/r. Let -p*z - 4 + 2/3*z**2 = 0. Calculate z.
-1, 6
Let q(l) be the third derivative of -1/210*l**6 + 0 + 24*l**2 - 6/35*l**5 + 0*l - 32/21*l**3 - 11/14*l**4. Let q(i) = 0. Calculate i.
-16, -1
Let a(b) be the second derivative of -b**4/18 + 3728*b**3/9 - 3474496*b**2/3 + 8066*b. Suppose a(m) = 0. What is m?
1864
Let c(a) be the first derivative of -a**6/15 - 26*a**5/25 + 9*a**4/2 - 94*a**3/15 + 16*a**2/5 - 35. Factor c(j).
-2*j*(j - 1)**3*(j + 16)/5
Suppose 173*o - 161*o + 264 = 0. Let t be -16 - o - (4 - -2). Find k, given that t - 2/3*k**4 - 1/2*k**3 + 0*k**2 - 1/6*k**5 + 0*k = 0.
-3, -1, 0
Let t(l) be the first derivative of 10/3*l**3 - 25/6*l**6 + 214 + 25/4*l**4 + 0*l + 0*l**2 - 2*l**5. Suppose t(y) = 0. What is y?
-1, -2/5, 0, 1
Let i(k) be the third derivative of -k**3 + 1/3*k**4 + 0 + 37*k**2 - 1/30*k**5 + 0*k. Find l such that i(l) = 0.
1, 3
Let o be (-260)/66*(3101 + -3107). What is s in 6/11*s**2 - o*s + 86/11 = 0?
1/3, 43
Let c(y) be the first derivative of y**4/14 - 16*y**3/3 - 9*y**2 + 684*y/7 - 7100. Let c(b) = 0. What is b?
-3, 2, 57
Let y(j) = -14*j**2 + 6. Let c = -51 + 43. Let t(z) = 30 - 5*z**2 - 71 + 21 + 22. Let p(s) = c*t(s) + 3*y(s). Factor p(h).
-2*(h - 1)*(h + 1)
Let i(v) be the second derivative of -19*v**6/2880 + 5*v**5/192 - v**4/32 - 10*v**3 - 28*v + 2. Let l(x) be the second derivative of i(x). Factor l(u).
-(u - 1)*(19*u - 6)/8
Let m(i) be the third derivative of -20/3*i**4 + 2/5*i**5 + 2/105*i**7 + 0 - 22*i + 2*i**2 + 4/15*i**6 + 50/3*i**3. Factor m(z).
4*(z - 1)**2*(z + 5)**2
Let v(i) be the second derivative of -i**5/20 + 19*i**4/2 - 328*i**3/3 + 432*i**2 + 5205*i. Factor v(o).
-(o - 108)*(o - 4)*(o - 2)
Let y = 657 - 614. Factor -39*v**4 + 3*v**5 + y*v**4 - v**4 - 6*v**3.
3*v**3*(v - 1)*(v + 2)
Let y = 108563/5 - 21712. Factor 3/5*z**3 - y*z + 0 + 3/5*z**4 - 3/5*z**2.
3*z*(z - 1)*(z + 1)**2/5
Let u be ((-6656)/(-12) + 2)/(8/(-12)). Let o be u - -840 - (2/(-3) - -1). What is r in -10*r + o*r**2 + 6 - 2/3*r**3 = 0?
1, 3
Let t = 179 - 355/2. Suppose 90 = 161*q - 486 - 68. Let 3/2*x**5 + 0 - 3/2*x**3 + 0*x + 3/2*x**2 - t*x**q = 0. Calculate x.
-1, 0, 1
Suppose -5*v + 7 + 38 = 0. Factor s**2 - 6*s + v*s - 7*s.
s*(s - 4)
Let j be 44*16/(-3)*(-27)/6. Let m be ((j/20)/22)/((-44)/(-10)). Factor -6/11*z**2 - 2/11 + m*z + 2/11*z**3.
2*(z - 1)**3/11
Let b = -102157/3 + 34053. Factor 8/3*j + 0 + 2/3*j**4 - b*j**3 - 8/3*j**2.
2*j*(j - 2)*(j - 1)*(j + 2)/3
Let b(x) be the third derivative of x**7/105 - 47*x**6/60 + 95*x**5/6 + 625*x**4/4 + 6*x**2 - 75. Factor b(p).
2*p*(p - 25)**2*(p + 3)
Let h(p) be the second derivative of -p**7/1680 - p**3/3 + 47*p**2/2 + 87*p. Let f(i) be the second derivative of h(i). Determine y so that f(y) = 0.
0
Find a, given that -1/2*a**3 + 2*a**2 - 8 + 2*a = 0.
-2, 2, 4
Suppose 0 = -r + 7 - 3. Factor 4*y**3 - y**2 + 8 - 11 + 5*y**2 - 1 - r*y.
4*(y - 1)*(y + 1)**2
Let u(p) = 3 - 12*p**2 + p**3 - 2 + 11 - 9 + 35*p. Let f be u(5). Factor -1/2*j**2 + 1/2*j**4 + 0 + 1/2*j**f - 1/2*j.
j*(j - 1)*(j + 1)**2/2
Solve 1480 - 3567 - 3*s**2 + 159*s + 1781 = 0 for s.
2, 51
Let p = 2115/1544 - -1/193. Let l = 293/824 - -2/103. Factor -l - 3/4*y**2 + p*y.
-(2*y - 3)*(3*y - 1)/8
Suppose -252*h - 60 = -257*h. Factor 26 + 32*d**3 + 18 - h + 12*d**4 - 68*d**2 - 11*d + 3*d.
4*(d - 1)**2*(d + 4)*(3*d + 2)
Let u(s) = s**2 - 87. Let z be u(9). Let p(d) = d**2 - 2. Let x(h) = 9*h**2 + 9*h - 24. Let c(y) = z*p(y) + x(y). Find l such that c(l) = 0.
-4, 1
Let j be ((-273306)/(-656))/(9/2). Let a = j + -277/3. Suppose -a*g**2 + 0 - g = 0. Calculate g.
-4, 0
Let l be (-5 - -4)*(10*11)/2. Let f = l - -55. Solve -2/17*p**4 - 2/17*p**2 + 0*p - 4/17*p**3 + f = 0 for p.
-1, 0
Let q(x) be the second derivative of 4*x**7/21 - 59*x**6/15 - 79*x**5/10 - 8*x**4/3 + 332*x - 4. What is c in q(c) = 0?
-1, -1/4, 0, 16
Factor 492/5 - 2/15*z**3 + 866/15*z + 4*z**2.
-2*(z - 41)*(z + 2)*(z + 9)/15
Let a = 330/799 - -13861/3196. Factor -1/4*f**3 + a*f + 2*f**2 + 5/2.
-(f - 10)*(f + 1)**2/4
Factor 37/9*v**3 + 155/3*v**2 + 2123/9*v + 1694/9 + 1/9*v**4.
(v + 1)*(v + 11)**2*(v + 14)/9
Let s be ((-3238)/11333)/(8/(-14)). Factor -s*u**3 - u**2 + 5/2*u + 3.
-(u - 2)*(u + 1)*(u + 3)/2
Let z(q) be the second derivative of -q**6/3600 - q**5/12 - 125*q**4/12 + 64*q**3/3 + q**2/2 + 2*q - 7. Let j(m) be the second derivative of z(m). Factor j(c).
-(c + 50)**2/10
Let l = 2/8327 + 24961/83270. Let k(j) be the second derivative of 1/10*j**6 + 0*j**2 + 18*j + 0*j**3 + l*j**5 + 1/4*j**4 + 0. Determine n, given that k(n) = 0.
-1, 0
Factor 79*w**2 + 81 + 72*w - w**3 - 33*w + 59*w + 63*w.
-(w - 81)*(w + 1)**2
Let o(t) = 7*t**3 - 249*t**2 + 8. Let i(v) = -19*v**3 + 748*v**2 - 22. L