**4/33 - 8*y**3/33 - 7*y + 57. Determine q, given that v(q) = 0.
-4, -2, 0, 1
Factor 720 + 241*b**2 - 69*b**2 - 80*b**2 - 144*b - 88*b**2.
4*(b - 30)*(b - 6)
Let y be (-3514)/(-18) - (3 + (-100)/36). Let c be (1 + -1 - 3) + y/39. Determine o so that c*o + 494*o**2 - 498*o**2 + 2*o = 0.
0, 1
Let u = 422 - 419. Determine a, given that -11*a**2 + 0*a**4 + 3 - 335*a + a**4 + 341*a + 4*a**3 - u = 0.
-6, 0, 1
Let u be 19 + (-21)/189*-45. Let -8*r - 2/3*r**2 - u = 0. Calculate r.
-6
Suppose 1/4*q**5 + 4*q**2 - 1/4*q**3 - q**4 + 0 - 3*q = 0. Calculate q.
-2, 0, 1, 2, 3
Suppose 3*f = d - 4, 5*d - 661 = 3*f - 641. Factor 4/7*o**2 + f + 24/7*o.
4*o*(o + 6)/7
Suppose -292*k + 27210 = 9*k + 606*k. Let 657/2*c**2 + 1083/4 + 3/4*c**4 - k*c**3 - 570*c = 0. Calculate c.
1, 19
Let p(s) = -2*s + 7. Let a be p(2). Suppose 20 - 11 = a*n. Determine w so that -3*w**3 + 3*w**n + 4*w**3 + 12*w**2 + 0*w**3 = 0.
-3, 0
Factor 20*j**4 - 810 + 15*j**3 - 1755/2*j + 5/2*j**5 - 270*j**2.
5*(j - 4)*(j + 3)**4/2
Let s(h) be the first derivative of -h**8/16800 - h**7/2100 - h**6/720 - h**5/600 - 79*h**3/3 + 189. Let q(c) be the third derivative of s(c). Factor q(p).
-p*(p + 1)**2*(p + 2)/10
Let l(f) be the first derivative of -51*f**5/5 + 1737*f**4/4 - 4947*f**3 + 867*f**2/2 + 596. Factor l(a).
-3*a*(a - 17)**2*(17*a - 1)
Suppose 0 = -16*t + 17*t + 15. Let p(y) = y**3 + 16*y**2 + 16*y + 15. Let h be p(t). Find g such that g**3 + 0*g - 1/4*g**2 + h = 0.
0, 1/4
Let c be (-1100)/(-350) - (-1)/(-7). Factor -3*t - 17*t + 4*t**c + 14*t**2 - 41*t**2 + 43*t**2.
4*t*(t - 1)*(t + 5)
Let l(d) be the first derivative of 0*d + 2/45*d**3 - 2/15*d**2 - 79. Factor l(a).
2*a*(a - 2)/15
Let z(h) be the third derivative of -31*h**5/360 - 5*h**4/4 + h**3 - 3700*h**2. Factor z(s).
-(s + 6)*(31*s - 6)/6
Let f be (-15947)/(-8189) + 2/38. Let q(g) be the third derivative of -1/24*g**6 - 16*g**f + 5/24*g**4 - 1/6*g**5 + 0 + 0*g + 5/3*g**3. Factor q(p).
-5*(p - 1)*(p + 1)*(p + 2)
Let l(i) be the first derivative of i**4 + 8*i**3 + 16*i**2 - 1483. Factor l(a).
4*a*(a + 2)*(a + 4)
Factor -598*q**2 + 410 + 211*q - 154*q - 5*q**5 + 270*q**4 + 3078*q**2 - 1702*q - 1670*q**3 + 160*q**4.
-5*(q - 82)*(q - 1)**4
Suppose 7720*y - 4872*y**2 + 2*y**4 - 5915*y - 1626 + 3071*y + 1620*y**3 = 0. What is y?
-813, 1
Find b, given that -648/7 + 6/7*b**2 + 72/7*b = 0.
-18, 6
Let u(d) be the second derivative of d**5/90 - 8*d**4/9 - 11*d**3/3 - 50*d**2/9 + 695*d. Factor u(r).
2*(r - 50)*(r + 1)**2/9
Let l be (2 + -2)/(-2) - -3. Suppose -p = -4*s + 62, 4*p - 17 = -l*s + 39. Suppose 153*o**4 + s*o**2 - 32*o + 0*o**2 + 8*o**3 - 157*o**4 = 0. What is o?
-2, 0, 2
Let j be 3690/(-1148)*((-9)/15 - 2/(-10)). Let r(b) be the first derivative of -j*b**2 - 81/7*b + 3 - 1/21*b**3. Factor r(u).
-(u + 9)**2/7
Let t be 15/4*66/(6600/20). Factor -n**4 + 0 - t*n + n**2 + 1/4*n**5 + 1/2*n**3.
n*(n - 3)*(n - 1)**2*(n + 1)/4
Solve -9984*i - 60*i**4 + 29456/5*i**2 + 5120 - 4832/5*i**3 - 4/5*i**5 = 0.
-40, 1, 2
Let g be 230/10 + (3 - 3). Factor 236*c - 18 - 139 - 62 + 4*c**2 + g - 44.
4*(c - 1)*(c + 60)
Let o = 7643/132 + -636/11. Let a(b) be the second derivative of o*b**4 + 0*b**2 - 13*b - 1/2*b**3 + 0. Factor a(s).
s*(s - 3)
Let u(r) be the first derivative of -2*r**5/55 + 8*r**4/11 + 116*r**3/33 - 16*r**2/11 - 114*r/11 + 1541. Find x, given that u(x) = 0.
-3, -1, 1, 19
Find v such that 319/5*v**3 - 43/5*v**4 - 3/5*v**5 - 417/5*v**2 + 64/5*v + 16 = 0.
-20, -1/3, 1, 4
Let x(l) be the second derivative of l**6/60 + 7*l**5/8 + 11*l**4/8 - 35*l**3/12 - 17*l**2/2 - 88*l. Factor x(r).
(r - 1)*(r + 1)**2*(r + 34)/2
Let p(n) be the second derivative of -n**7/56 + n**6/36 + n**5/24 - n**3/3 + 15*n**2 + 77*n. Let s(d) be the second derivative of p(d). Factor s(h).
-5*h*(h - 1)*(3*h + 1)
Determine g so that 4*g**2 + 402*g + 584 + 196*g + 78*g - 93 + 181 = 0.
-168, -1
Let g(i) be the third derivative of 0*i**4 + 0*i - 1/168*i**8 - i**2 + 0*i**3 + 1/60*i**6 - 1/105*i**7 + 24 + 1/30*i**5. Solve g(m) = 0 for m.
-1, 0, 1
Let n(o) = 4*o - 25. Let c be n(14). Factor -11*w + 3*w**4 - w**3 - 5 - w**5 - 3 - 14*w**2 + c*w + w**4.
-(w - 2)**2*(w - 1)**2*(w + 2)
Let n(o) = -2*o - 36. Let j(u) = 9*u - 1. Let t be j(-2). Let k be n(t). What is l in 28 + l**k - 9 + 14*l + 30 = 0?
-7
Let y = -9981/2 + 4992. Factor -y*m**2 + 27/2*m - 12.
-3*(m - 8)*(m - 1)/2
Let r(l) = 4*l**5 - 2*l + 1. Let m(a) = -30*a**5 + 2*a**4 - 52*a**3 - 8*a**2 + 68*a - 10. Let o(v) = -2*m(v) - 20*r(v). Suppose o(i) = 0. What is i?
-2, -6/5, 0, 1, 2
Let w(r) be the third derivative of -1/42*r**7 + 0*r - 1/20*r**6 + 36*r**2 + 1/3*r**4 + 0*r**3 + 0 - 1/336*r**8 + 1/15*r**5. Solve w(v) = 0.
-2, 0, 1
Let q = -49792/13 - -448141/117. Factor 100/9*l - 2500/9 - q*l**2.
-(l - 50)**2/9
Let u = 400 + -366. Suppose 204 - 196*n + 1983 + u*n + 3*n**2 + 0*n**2 = 0. Calculate n.
27
Let p(y) = 7*y - 9. Let d be p(2). Suppose -6*n**4 + n**5 + 2*n**5 - d*n**5 = 0. Calculate n.
-3, 0
Let 35411*a + 324723 - 326036*a + 5916*a**3 + 33309*a - 970218*a**2 - 9*a**4 - 394104*a = 0. Calculate a.
-1, 1/3, 329
Let z(p) be the third derivative of p**6/480 + p**5/32 - 3*p**4/4 + 4*p**3/3 - 212*p**2. Let b(r) be the first derivative of z(r). Factor b(m).
3*(m - 3)*(m + 8)/4
Let w = 1966/9 - 652/3. Let f(g) be the second derivative of 0 - 4/3*g**2 - 8*g - 1/15*g**5 - 4/9*g**4 - w*g**3. Suppose f(r) = 0. Calculate r.
-2, -1
Let m(p) be the third derivative of 169*p**8/336 - 13*p**7/7 + 277*p**6/120 - p**5 + p**4/6 + 77*p**2 + 5*p + 6. Solve m(a) = 0 for a.
0, 2/13, 1
Determine f, given that 0 - 1/4*f**5 - 17/4*f**2 + 1/4*f**3 + 5/4*f**4 - 3*f = 0.
-1, 0, 3, 4
Let k(t) = -7*t**3 - 4*t**2 - 3*t. Suppose 243 = 35*j - 282. Let n(s) = 2*s**3 - s**2 + s. Let i(m) = j*n(m) + 5*k(m). Factor i(b).
-5*b**2*(b + 7)
Let a be (-7)/(-70)*25 - (-23)/(-2). Let i(l) = l**3 + 13*l**2 + 38*l + 20. Let s be i(a). Let 1/2*v + 1/3 + 1/6*v**s = 0. What is v?
-2, -1
Let x = -8213/6 - -2739/2. Let i(q) be the second derivative of -34*q + 1/15*q**5 + x*q**2 - 2/9*q**3 - 1/90*q**6 + 0 - 1/12*q**4. Determine d so that i(d) = 0.
-1, 1, 2
Let i be 26/91 - ((-92)/(-28) - 3). Suppose -224*t + 209*t + 30 = i. Factor 1/7*c**3 + 0 + 0*c**t + 0*c - 1/7*c**4.
-c**3*(c - 1)/7
Let f = 251/2146 - -14909/19314. Factor f + 4/9*w**2 - 14/9*w + 2/9*w**3.
2*(w - 1)**2*(w + 4)/9
Let o be (19437/(-44))/(440/16). Let x = o - -177/10. Suppose 16/11 + 2/11*f**2 + x*f = 0. What is f?
-8, -1
Let k be ((-5)/8 + (-36852)/(-61088))/(2/(-16)). What is r in 48/23 - k*r**4 - 4*r**2 + 38/23*r**3 + 40/23*r = 0?
-1/2, 2, 6
Let m(i) = 2*i**3 + 2*i**2 - 3. Let r = -94 - -62. Let v = -35 - r. Let f(t) = 3*t**3 + 4*t**2 - 5. Let k(s) = v*f(s) + 5*m(s). Factor k(g).
g**2*(g - 2)
Let a(s) be the first derivative of s**5/60 + 29*s**4/24 - 5*s**3 + s**2/2 + 41*s - 63. Let w(z) be the second derivative of a(z). Factor w(j).
(j - 1)*(j + 30)
Let s(u) be the first derivative of -u**4/24 - 14*u**3/3 - 205*u**2/4 - 266*u/3 + 6084. Solve s(z) = 0 for z.
-76, -7, -1
Let f = -656 - -700. Let l be (f/(-6))/(21/(630/(-100))). Factor l*x**2 - 1/5 - 6/5*x**3 - 4/5*x.
-(x - 1)**2*(6*x + 1)/5
Let j(l) be the first derivative of -l**6/12 - 2*l**5/5 - l**4/2 + l**3/3 + 5*l**2/4 + l - 608. Let j(i) = 0. Calculate i.
-2, -1, 1
Suppose -18*h = -27*h + 270. Find q, given that -6901*q**4 + 6881*q**4 - h*q**3 - 28*q + 60*q**2 + 6*q**5 + 12*q = 0.
-2, 0, 1/3, 1, 4
Suppose 2/11*y**5 + 476/11*y**4 + 109512/11*y + 0 + 29258/11*y**3 + 111384/11*y**2 = 0. Calculate y.
-117, -2, 0
Suppose 24*t + 59 = -4*x + 21*t, 23 = -2*x + 5*t. Let k(h) = -28*h - 392. Let m be k(x). Factor 1/2*o**3 + m - 1/2*o + 0*o**2.
o*(o - 1)*(o + 1)/2
What is w in -13*w - w**3 - 2*w**5 + 10101*w**4 - 77*w**2 - 10074*w**4 - 6*w**3 + 0*w**5 + 26 - 2*w = 0?
-1, 1/2, 2, 13
Let r = -361817 + 361820. Factor 18/7 - 52/7*x**2 + 9/7*x**r + 69/7*x.
(x - 3)**2*(9*x + 2)/7
Factor 75*f**2 + 256 - 3904*f + 548*f**3 + 889*f**2 - 608*f**3.
-4*(f - 8)**2*(15*f - 1)
Factor -290*r**3 - 5602905 - 205*r**4 + 61110*r**2 + 92879*r + 96257*r - 5*r**5 + 50912*r - 21753*r.
-5*(r - 11)**2*(r + 21)**3
Let 0*g - 19/2*g**3 + 9/2*g**2 + 11/2*g**4 - 1/2*g**5 + 0 = 0. Calculate g.
0, 1, 9
Let s(x) be the first derivative of -17 + 2*x**3 + 0*x + 0*x**4 + 0*x**2 - 1/2700*x**6 + 0*x**5