**2 + 312*t - 2360. Let i(b) = -3*b**2 - 312*b + 2352. Let z(d) = -7*i(d) - 6*x(d). Factor z(n).
-3*(n - 96)*(n - 8)
Suppose 2354 = 42*d + 172*d. Let y(t) be the first derivative of -2/9*t**3 - 2/9*t + d + 1/18*t**4 + 1/3*t**2. Factor y(f).
2*(f - 1)**3/9
Let b be 2/(-12)*(-261)/435*20. Determine h so that -312/5*h**3 - 4/5*h**5 + 0 - 196/5*h - 448/5*h**b - 64/5*h**4 = 0.
-7, -1, 0
Let d be (16/1176)/(59/1239). Factor 0 + d*f - 2/7*f**3 + 1/7*f**2 - 1/7*f**4.
-f*(f - 1)*(f + 1)*(f + 2)/7
Let m(t) = -t**3 - t**2 + 5*t + 1. Let j be m(-3). Solve -5*q**j + q + 4*q - 10*q**2 + 15*q**3 - 5*q = 0.
0, 1, 2
Let t(c) be the third derivative of -c**8/11200 - c**7/525 - c**4/8 + 5*c**3/2 - 6*c**2 - 7. Let y(g) be the second derivative of t(g). Factor y(q).
-3*q**2*(q + 8)/5
Suppose 2*z = 4*z + 54. Let g = -15 - z. Find j, given that 1 + g*j**2 - 20*j**2 - j + j**3 + 7*j**2 = 0.
-1, 1
Let h(d) = -d - 16. Let c be h(-14). Let i be (-4)/(c - 0/(-3)). Suppose -3*v - 6 - 4*v**i + 3*v**2 + 4 = 0. What is v?
-2, -1
Let n = -606 - -610. Let w be (2 + n)/((-5)/(10/(-6))). Factor 1/5*l**w + 9/5 + 6/5*l.
(l + 3)**2/5
Let j(q) = -15*q**5 + 57*q**4 + 234*q**3 - 252*q**2 - 654*q + 144. Let n(o) = -o**4 + o**3 + 6*o**2 + 3*o. Let k(x) = j(x) - 6*n(x). Let k(i) = 0. Calculate i.
-2, 1/5, 2, 6
Let k(j) be the second derivative of -j**10/2016 + 5*j**9/3024 + j**8/672 + 7*j**4/4 - 59*j + 1. Let s(n) be the third derivative of k(n). Factor s(m).
-5*m**3*(m - 2)*(3*m + 1)
Let j(h) = -56*h - 386. Let g be j(-7). Suppose 8 = -m + 3*q + 2, -3*q = 3*m - g. Factor 3/7*z**4 - 27/7*z**2 - 9/7*z**3 + m - 15/7*z.
3*z*(z - 5)*(z + 1)**2/7
Suppose 4*n - 4 = -2*d, -4*n = d - 0*d. Factor d*h**2 - h**3 + h - 540 - 3*h**2 + 539.
-(h - 1)**2*(h + 1)
Let f(g) be the second derivative of 0*g**3 - 172*g + 17/3*g**4 + 0*g**2 + 0 - 18/5*g**5 + 2/15*g**6. Factor f(y).
4*y**2*(y - 17)*(y - 1)
Let p = 754921/120 + -6291. Let r(w) be the second derivative of -4/3*w**3 + p*w**6 - 1/10*w**5 + 2*w**2 + 1/2*w**4 - 6*w + 0. Factor r(m).
(m - 2)**4/4
Let v(t) be the second derivative of 0*t**6 + 4/5*t**5 + 21 - 2/3*t**4 + t - 2*t**3 - 2/21*t**7 + 4*t**2. Factor v(q).
-4*(q - 1)**3*(q + 1)*(q + 2)
Let l(g) be the first derivative of g**4/6 + 2*g**3/9 - 571. Factor l(b).
2*b**2*(b + 1)/3
Suppose 5*h + 19 = -2*s, 15*s - 14*s - h - 8 = 0. Determine o so that 26/11*o**s - 2/11*o**4 - 26/11*o + 0 + 2/11*o**2 = 0.
-1, 0, 1, 13
Let f(c) be the third derivative of c**5/360 - 19*c**4/18 - 155*c**3/12 + 60*c**2 - 2*c + 6. Find n such that f(n) = 0.
-3, 155
Let v(h) be the third derivative of h**7/126 + h**6/4 + 65*h**5/36 - 3*h**2 - 11*h + 17. Suppose v(d) = 0. What is d?
-13, -5, 0
Let l be 58/6 - (24 + 5408/(-336) + (-10)/(-105)). Solve 460/3*w**2 - 10580/3*w - l*w**3 + 0 = 0.
0, 46
Let l = -725793/10 - -362909/5. Determine u so that -1/6*u**3 + l*u**2 + 6 + 26/3*u = 0.
-2, -1, 18
Find a such that -10656*a**2 + 59*a**3 - 1825361930 - 3154030582 - 62*a**3 - 12616704*a = 0.
-1184
Let q(v) be the second derivative of -v**5/30 - 11*v**4/3 - 7*v**3 + 130*v**2/3 + 6*v - 83. Factor q(z).
-2*(z - 1)*(z + 2)*(z + 65)/3
Let q = 835293/2 + -417642. Factor 0 + 3/2*n - 6*n**3 - q*n**2.
-3*n*(n + 1)*(4*n - 1)/2
Let t be (-3 - -2) + (-126)/(-18). Let y = -10 + 23. Let h(i) = -7*i**3 + 6*i**2. Let p(d) = 3*d**3 - 3*d**2. Let q(r) = t*h(r) + y*p(r). What is j in q(j) = 0?
-1, 0
Let h(l) be the second derivative of 1/2*l**2 + 41*l - 1/9*l**3 + 0 - 1/36*l**4. Factor h(n).
-(n - 1)*(n + 3)/3
Determine v so that -417*v + 15*v**2 + 5*v**3 + 220*v - 33*v - 240 = 0.
-8, -1, 6
Let z be ((-40)/28)/(110/(-2156)). Let h(t) be the second derivative of 0 + 1/60*t**4 - 1/10*t**3 - 2/5*t**2 - z*t. Factor h(q).
(q - 4)*(q + 1)/5
Let g(b) be the first derivative of b**5/300 + 2*b**4/3 + 160*b**3/3 - b**2 - 24*b - 77. Let n(i) be the second derivative of g(i). Find f, given that n(f) = 0.
-40
Let t(y) be the third derivative of -y**8/420 - 94*y**7/525 - 88*y**6/25 + 192*y**5/25 - 7*y**2 - 440*y - 1. Suppose t(r) = 0. What is r?
-24, 0, 1
Let i = 803 - 798. Let v(r) be the second derivative of 1/6*r**2 - 1/90*r**6 - 6*r + 0 + 0*r**4 + 1/30*r**i - 1/9*r**3. Factor v(q).
-(q - 1)**3*(q + 1)/3
Factor -2/7*z**4 + 0 + 2/7*z**2 + 4/7*z**3 - 4/7*z.
-2*z*(z - 2)*(z - 1)*(z + 1)/7
Let p be ((-90)/12)/(-15) - 18/(-4). Let -9*z**4 - 6*z**3 - 43*z**5 + 87*z**5 - 47*z**p = 0. What is z?
-2, -1, 0
Let n(x) = -4*x**3 - 8*x**2 + 9. Let f(u) = 0*u + 10 + u + u**3 - 8*u**2 + 0*u - 4*u**3. Let h(v) = 5*f(v) - 4*n(v). Suppose h(b) = 0. Calculate b.
-1, 2, 7
Let q = -21 - -23. Suppose 5*k**3 + q*k**2 - 409*k**4 - 10*k - 19*k**3 - 24*k**2 + 407*k**4 = 0. What is k?
-5, -1, 0
Let s(x) be the second derivative of -1/90*x**6 + 1/15*x**5 - 16/3*x**3 - 6 + 6*x + 11/9*x**4 - 96*x**2. Factor s(d).
-(d - 6)**2*(d + 4)**2/3
Suppose -4*x + 92 + 152 = 0. Determine v, given that -3*v**2 + 25 - 26*v - 25 - x*v = 0.
-29, 0
Suppose 4*f - 3*f + 10 = 3*m, -3*f + m = -10. Suppose 4*d - f*d = -3*h - 6, -d = -h - 2. Factor 3/5*l**2 + d*l + 1/5*l**3 - 4/5.
(l - 1)*(l + 2)**2/5
Let t be 1/(-1) + -5 + (2 - 64/(-8)). Let c(b) be the third derivative of 0 + 0*b + 1/15*b**5 - t*b**3 - 19*b**2 + 1/6*b**4. Determine o so that c(o) = 0.
-3, 2
Let f = -541461 - -4331697/8. Factor f*t**2 - 3/2 + 0*t - 3/8*t**3.
-3*(t - 2)**2*(t + 1)/8
Let x = -149257 - -149262. Determine q so that -3*q - 1/3*q**x + 0*q**2 + 0*q**4 + 0 + 10/3*q**3 = 0.
-3, -1, 0, 1, 3
Let a = -4650603241/1703 + 2730830. Let r = 1/131 + a. Find k, given that r*k + 2/13*k**2 + 0 = 0.
-1, 0
Let s(i) be the second derivative of -1/3*i**3 - 2/3*i**4 + 0 + 3*i**2 + 7*i. Let h(t) = 23*t**2 + 7*t - 17. Let y(m) = 6*h(m) + 17*s(m). Factor y(j).
2*j*(j + 4)
Factor 0 + 80/7*b + 52/7*b**3 + 128/7*b**2 + 4/7*b**4.
4*b*(b + 1)*(b + 2)*(b + 10)/7
Factor -2/9*u**2 + 880/9 - 94/9*u.
-2*(u - 8)*(u + 55)/9
Let s(p) = -p**2 - 13*p + 85. Let d(y) = -y + 3. Let c(b) = -2*d(b) - s(b). Let q(w) = 3*w**2 + 36*w - 228. Let i(x) = -12*c(x) + 5*q(x). Factor i(j).
3*(j - 4)*(j + 4)
Suppose -2311 = -696*k - 919. Suppose -32/9 + 2/9*b**k + 0*b = 0. Calculate b.
-4, 4
Factor -3/4*v**3 + 0 - 6*v**2 + 195/4*v.
-3*v*(v - 5)*(v + 13)/4
Let a(z) be the third derivative of -z**5/420 + 109*z**4/42 - 23762*z**3/21 - 7*z**2 - 2. Solve a(s) = 0.
218
Let z = -2001 - -288149/144. Let h(i) be the third derivative of 0 + 1/144*i**6 + 5/36*i**3 + 21*i**2 + 0*i - z*i**4 - 1/72*i**5. Solve h(o) = 0 for o.
-1, 1
Let v(l) = l**3 - 3*l + 10. Let q be v(4). Suppose -a + q = 60. Factor 0*y - y**4 + a*y**2 + 4*y**3 - 3*y**3 + 0*y.
-y**2*(y - 2)*(y + 1)
Suppose 0 = 4*g + 5*x - 36, 5*g + 3*x - 12 = 20. Suppose g*i - 5*y = 57, 13 = -3*i + 5*y + 62. Factor -v**2 + 16*v + i*v**3 + 9*v**3 - 15*v**3 - 11*v**2.
2*v*(v - 4)*(v - 2)
Let x = 5 + -1. Let u = -5610/413 - -6082/413. Let 11/7*p**2 - u*p**3 + 12/7 - 3/7*p**4 + x*p = 0. Calculate p.
-3, -1, -2/3, 2
Let v = 127/13 + -863/91. What is n in v*n**2 + 8/7*n + 6/7 = 0?
-3, -1
Let s(l) be the second derivative of -l**4/102 + 172*l**3/51 + 348*l**2/17 + 175*l + 1. Suppose s(y) = 0. What is y?
-2, 174
Let 545*t**2 - 144 + 100*t**3 - 140 + 450*t + 284 + 5*t**4 = 0. Calculate t.
-10, -9, -1, 0
Let w(j) be the second derivative of -j**4/12 + 5*j**3/3 + 28*j**2 - 11*j - 8. Factor w(f).
-(f - 14)*(f + 4)
Let i be (-2589)/(-48) - 2/(-32). Solve -32*h**2 + i*h**2 - 60 - 28*h**2 - 94*h = 0.
-15, -2/3
Let y(x) be the second derivative of -x**7/63 - 26*x**6/45 - 8*x**5/5 + 1591*x. Factor y(t).
-2*t**3*(t + 2)*(t + 24)/3
Let c(o) be the first derivative of o**7/840 - o**6/180 - o**5/30 + o**4/3 + 152*o**3/3 - 88. Let k(l) be the third derivative of c(l). Factor k(f).
(f - 2)**2*(f + 2)
Let u = -125 - -127. Factor 3 + 23*r**2 + 4*r + 2*r**u - 24*r**2.
(r + 1)*(r + 3)
Let k be 0/(-25 - -2)*1. Factor 0*t + 10/9*t**4 - 8/9*t**5 + 0 + k*t**2 - 2/9*t**3.
-2*t**3*(t - 1)*(4*t - 1)/9
Let d(x) = x**3 + 15*x**2 + 25*x + 7. Let m be d(-13). Find l, given that -424 + 2*l - m*l + 451 + 3*l**2 = 0.
3
Let r(u) be the first derivative of -4*u**3/21 - 604*u**2/7 - 172*u + 464. Factor r(h).
-4*(h + 1)*(h + 301)/7
Determine w so that 4 - 313*w**2 + 318*w**2 + 560*w - 4 = 0.
-112, 0
Let i(x) be the first derivative of 3*x**5/5 - 192*x**4 + 2359. Factor i(n).
3*n**3*(n - 256)