be 5859/(-279) - (-24 + 1). Let t(i) be the second derivative of 0 + 2/9*i**3 - 5/9*i**c + 11*i - 1/54*i**4. Factor t(n).
-2*(n - 5)*(n - 1)/9
Let b = -1725309/7 - -246473. Solve -2/7*v + 0 - b*v**3 + 4/7*v**2 = 0 for v.
0, 1
Let c = 3113101/3458990 + -1/345899. Solve 1/10*k**2 + 4/5*k - c = 0 for k.
-9, 1
Let v(i) be the second derivative of -1/3*i**4 + 0*i**3 + 2 + 0*i**2 + i. Factor v(k).
-4*k**2
Let x(f) be the second derivative of 0*f**3 + 1/6*f**4 - 1/30*f**6 + 0 + 37*f - 1/2*f**2 + 0*f**5. Factor x(r).
-(r - 1)**2*(r + 1)**2
Suppose -6*z = -86 + 32. Let f = 20 - z. Factor -k - 4*k + f*k**2 - 51*k**2 + 25*k**2 - 5*k**4 - 15*k**3.
-5*k*(k + 1)**3
Let f be (1 - 6/4)*-10. Suppose -27*d = i - 24*d - 14, -5*i + d + 22 = 0. Solve 0*p + p**4 + 2*p**f + 0*p - 3*p**i = 0 for p.
0, 1
Let y(m) = 10*m**3 + 216*m**2 - 49*m + 7. Let p(w) = -9*w**3 - 216*w**2 + 42*w - 6. Let n(s) = 7*p(s) + 6*y(s). Suppose n(o) = 0. Calculate o.
-72, 0
Factor 2/5*k**2 + 14569202/5 + 10796/5*k.
2*(k + 2699)**2/5
Let g(y) = -y**3 + 7*y**2 - 396*y + 1152. Let h be g(3). Factor -20*c**2 + h - 2/3*c**3 + 0*c.
-2*c**2*(c + 30)/3
Let m = -100 + 237. Suppose -m*g + 25*g + 250 + 60*g**2 - 5*g**3 - 27*g - 86*g = 0. Calculate g.
2, 5
Let k(o) be the first derivative of -o**4/6 - 4*o**3/3 - 16*o - 125. Let h(u) be the first derivative of k(u). Suppose h(w) = 0. What is w?
-4, 0
Let -2/13*d**4 - 184830/13*d**2 + 184832/13 - 1216/13*d**3 + 1216/13*d = 0. What is d?
-304, -1, 1
Suppose -2 = m - 13. Suppose m*j - 12 - 43 = 0. Solve -5*r - 3*r**4 + j*r**2 + 8*r**3 - 5*r**3 + 2*r**3 - 2 = 0.
-1, -1/3, 1, 2
Suppose -31*n + 52*n - 44*n = 0. Factor 2/9 + 0*o + n*o**3 + 2/9*o**4 - 4/9*o**2.
2*(o - 1)**2*(o + 1)**2/9
Find o such that -24/5 + 3/5*o**3 - 174/5*o**2 + 132/5*o + 63/5*o**4 = 0.
-2, 2/7, 2/3, 1
Let q be (2 + (-9)/6)*(-70)/(-1). Let w be (-357)/q*(-40)/108. Factor 10/9*p**3 + 0 + w*p**2 + 4/3*p.
2*p*(p + 3)*(5*p + 2)/9
Let w(j) be the first derivative of j**4/18 - 64*j**3/27 - 76*j**2/9 + 544*j/9 - 2287. Factor w(v).
2*(v - 34)*(v - 2)*(v + 4)/9
Let f(x) = -31*x**3 + 283*x**2 - 485*x - 79. Let p(w) = -w**3 - 2*w**2 + 1. Let u(g) = -f(g) - 4*p(g). Determine v, given that u(v) = 0.
-1/7, 3, 5
Let z(v) be the third derivative of 1/14*v**6 + 1/35*v**5 - 172*v**2 + 0*v + 23/490*v**7 + 0*v**4 + 1/112*v**8 + 0 + 0*v**3. Suppose z(h) = 0. What is h?
-2, -1, -2/7, 0
Let t = 2950/161 - 128/7. Let u = t + 614/805. Let -4/5 - 1/5*d**2 + u*d = 0. What is d?
2
Let x(a) be the third derivative of a**8/1680 + a**7/350 + a**6/600 - a**5/100 - a**4/60 + 2003*a**2. Let x(b) = 0. What is b?
-2, -1, 0, 1
Find f, given that -15376*f**4 + 287*f**3 - 2150*f**2 + 4 + 85*f**3 + 124*f**3 - 496*f + 17522*f**2 = 0.
-1, 1/62, 1
Let u(j) be the first derivative of j**4/10 + 28*j**3/15 - 84*j**2/5 - 432*j/5 - 10466. Find y such that u(y) = 0.
-18, -2, 6
Let d(r) be the third derivative of 0*r + 1/540*r**6 - 7 + 14*r**2 + 7/108*r**4 - 1/54*r**5 - 1/9*r**3. Suppose d(q) = 0. Calculate q.
1, 3
Let r be ((-12)/(-10))/((9/(-10))/(-3)). Let m(d) = 4*d - 27. Let w be m(8). Factor w - 8*v - 5 - r*v + 4*v**3 + 8.
4*(v - 1)**2*(v + 2)
Let k(m) = -m**3 + 60*m**2 + 1907*m + 169. Let g be k(83). Solve 4/7*y**2 + 68/7*y**4 + 0 + 0*y + 30/7*y**g + 6*y**5 = 0.
-1, -1/3, -2/7, 0
Suppose 73*m - 78*m - 5*b = 5, -3*m + b + 13 = 0. Let d(r) be the first derivative of 14 + r**2 + 4*r - 4/3*r**m - 1/2*r**4. Let d(w) = 0. What is w?
-2, -1, 1
Suppose 5*i + 4*m - 8 = 0, -86*i + 82*i = 5*m - 10. Determine n, given that -4/7*n + i - 12/7*n**2 = 0.
-1/3, 0
Suppose -2*n + 4 = 0, -2*n - 3*n - 150 = -4*r. Factor 3107*c + 0*c**3 - c**3 - 2707*c + r*c**2 + 2*c**3.
c*(c + 20)**2
Factor 7/4 - 3/8*l**2 + 19/8*l.
-(l - 7)*(3*l + 2)/8
Let s(c) = c**2 + 9*c + 10. Let j be s(-8). Suppose -78 + 72 = -j*r. Suppose 2*q - 2 + 3/2*q**2 - 1/2*q**4 - q**r = 0. Calculate q.
-2, 1
Factor -7320*b**2 - 1/2*b**4 + 7442*b - 243/2*b**3 + 0.
-b*(b - 1)*(b + 122)**2/2
Determine t, given that 2471 - 65*t - 42*t - 80*t**2 - 2411 + 495*t = 0.
-3/20, 5
Let x(k) be the second derivative of k**4/102 - 6*k**3/17 - 280*k**2/17 + 3190*k. Solve x(l) = 0.
-10, 28
Factor 3/2*j**4 + 99/2*j**2 - 15*j**3 - 60*j + 24.
3*(j - 4)**2*(j - 1)**2/2
Factor 5711*q + 3701*q + 143*q**2 + 2352 - 127*q**2.
4*(q + 588)*(4*q + 1)
Let r(s) = 3*s - 86. Let g be r(40). Let p be ((-4)/g - (-15930)/2754) + -5. Find l such that -1/9*l**2 - 1/9*l + p = 0.
-3, 2
Let h(z) be the first derivative of 10*z**2 - 77*z + 302. Let y be h(4). Find c such that -58/7*c**y + 18/7*c**5 + 2*c**4 - 8/7 - 6/7*c**2 + 40/7*c = 0.
-2, -1, 2/9, 1
Let o be (-10)/20*(-5)/((-50)/(-60)). Let q(v) be the first derivative of 1/4*v**4 - 25 + 1/3*v**2 - 4/15*v**5 + v**o + 0*v. Factor q(x).
-x*(x - 2)*(x + 1)*(4*x + 1)/3
Factor -84*q + 36 - 75*q - 20 - 48*q - 45*q + 236*q**2.
4*(q - 1)*(59*q - 4)
Let z = 1095 + -1086. Let v(u) be the second derivative of 1/5*u**5 + 18*u**3 + z*u + 0 + 3*u**4 + 54*u**2. Let v(t) = 0. Calculate t.
-3
Let y(h) be the first derivative of 2/15*h**3 - 19/5*h**2 + 36/5*h + 219. Factor y(o).
2*(o - 18)*(o - 1)/5
Let z(s) be the first derivative of -103 - 16*s - 11/3*s**2 - 2/9*s**3. Let z(o) = 0. What is o?
-8, -3
Let s(c) be the third derivative of 8/3*c**5 - 10*c**2 + 0*c**3 - 8/105*c**7 + 3*c + 49/30*c**6 - 13/6*c**4 + 0. Solve s(w) = 0 for w.
-1, 0, 1/4, 13
Let r(g) be the second derivative of g**5/5 - 3739*g**4 + 27960242*g**3 - 104543344838*g**2 - 1562*g - 4. Factor r(o).
4*(o - 3739)**3
Let b be (-6)/(-3492)*(-4)/(40/(-2313)). Let t = 1/388 + b. Factor -8/5*h**2 - t*h**3 + 0 - 8/5*h.
-2*h*(h + 2)**2/5
Suppose -180*x + 296*x + 4*x**4 - x**2 - 44*x**3 - 3*x**2 - 72*x**3 = 0. What is x?
-1, 0, 1, 29
Let b = 6640648/36523685 - -2/3320335. Determine v, given that -b*v**2 - 16/11*v + 18/11 = 0.
-9, 1
Suppose -50/7*s**5 - 430568/7*s**3 - 67712/7*s - 1320*s**4 + 0 - 48576*s**2 = 0. Calculate s.
-92, -2/5, 0
Let m(l) = l**2 - 9*l + 14. Let v be m(7). Let q(f) = -f**2 + 2. Let o be q(v). Factor -49*t**2 + 104*t - 10*t**2 + 31*t**o + 32.
-4*(t - 4)*(7*t + 2)
Let n = -629143/7 + 89878. Find a, given that n*a**3 - 3/7*a**2 + 12/7 - 12/7*a = 0.
-2, 1, 2
Let c(x) be the second derivative of -x**5/50 + 1811*x**4/90 - 273008*x**3/45 - 91204*x**2/15 + 1947*x. What is l in c(l) = 0?
-1/3, 302
Let n = -7554 - -7559. Let c(m) be the first derivative of 7/2*m**2 + 2/5*m**n - 1/6*m**6 - 2*m - 10 - 8/3*m**3 + 1/2*m**4. Determine y so that c(y) = 0.
-2, 1
Let h(t) be the first derivative of 4*t**5/45 + 4*t**4/9 - 4*t**3/27 - 8*t**2/9 - 5894. Factor h(p).
4*p*(p - 1)*(p + 1)*(p + 4)/9
Let l(s) be the first derivative of s**5/20 + s**4/8 - 67*s**3/12 + 31*s**2/2 - 15*s - 3448. Factor l(m).
(m - 6)*(m - 1)**2*(m + 10)/4
Let u(z) be the third derivative of z**7/210 + z**6/15 - 19*z**5/30 - 4*z**4 - 119*z**3/6 + 50*z**2. Let b(p) be the first derivative of u(p). Factor b(q).
4*(q - 3)*(q + 1)*(q + 8)
Let m(l) be the second derivative of -1/135*l**6 + 8/9*l**4 + 2/45*l**5 + 6 + 80/9*l**2 + 112/27*l**3 - l. Factor m(g).
-2*(g - 10)*(g + 2)**3/9
Let d(w) be the second derivative of w**7/1260 - w**6/360 + 7*w**4/3 - w**3/2 - 266*w. Let r(b) be the third derivative of d(b). What is u in r(u) = 0?
0, 1
Let m(y) be the third derivative of y**5/20 - 665*y**4/4 + 442225*y**3/2 - 2*y**2 + 247. What is c in m(c) = 0?
665
Let s(h) = h**3 - 9*h**2 - 12*h + 60. Let j be s(10). Let g be 0 + 9 - (j - 33). Determine i so that -3*i**g + 6*i**4 + 6*i**3 - 15/2*i - 3 + 3/2*i**5 = 0.
-2, -1, 1
Let j be 215/(-172) + (-58)/16 - -5. Let n(a) be the first derivative of 0*a**2 + 23 + 1/12*a**6 + j*a**4 + 0*a + 0*a**3 - 1/5*a**5. Let n(o) = 0. Calculate o.
0, 1
Let d(w) = 29*w**4 + 42*w**3 - 42*w**2 - 32*w. Let x(n) = 30*n**4 + 42*n**3 - 44*n**2 - 32*n. Let j(i) = 4*d(i) - 3*x(i). Let j(u) = 0. Calculate u.
-2, -8/13, 0, 1
Let v be ((-1)/(-3))/(3/18). Let x(m) = -m**3 + 4*m**2 - 3*m. Let s be x(v). Factor 14 - 12*l - 13 - 1 - 4*l**s.
-4*l*(l + 3)
Factor 270*o - 519 + 10*o**3 - 503*o - 863*o - 436*o**2 + 151.
2*(o - 46)*(o + 2)*(5*o + 2)
Let r be -3 + 10/3 - (-2872)/(-8568). Let i = 44/153 + r. Solve 0 + 0*t + 0*t**2 - 2/7*t**3 + i*t**4 = 0.
0, 1
Suppose 11*d = -13*d + 216. Suppose 4*n + 14*u - 17*u + d = 0, 2*u = 4*n + 6. Factor 0 + 3/7*i**5 + n*i - 3