(w) = -6*g(w) - y(w). Find l, given that t(l) = 0.
-24, -1
Let d(j) = 13 - 2*j - 1 + 11 - 5. Let s be d(8). Factor 0 + 2/5*f**s + 0*f**3 + 0*f - 2/5*f**4.
-2*f**2*(f - 1)*(f + 1)/5
Let k be 1 + -1 + 127 + 8 + -3. Let y = k - 127. Let 9/2*u**3 + 13/2*u**2 - 27/4*u**4 + 1/4 - 27/4*u**y + 9/4*u = 0. Calculate u.
-1, -1/3, 1
Let m(v) be the second derivative of v**8/1680 - v**6/120 + v**5/60 - 7*v**3/2 - 11*v. Let d(p) be the second derivative of m(p). Factor d(i).
i*(i - 1)**2*(i + 2)
Let d(s) = 22*s**4 - 1024*s**3 + 64504*s**2 + 132102*s + 66570. Let q(k) = 3*k**4 + k + 1. Let j(p) = -d(p) + 6*q(p). Factor j(r).
-4*(r - 129)**2*(r + 1)**2
Let c = -6/1141 - -1171/5705. Factor -6/5*d + 0 + c*d**2.
d*(d - 6)/5
Let x(v) = -9*v**2 - 3*v + 6. Let l(u) = -u**2 - u + 1. Suppose 16 = 5*d - 3*d. Let g be (-50)/(-8) - 2/d. Let y(z) = g*l(z) - x(z). Let y(c) = 0. Calculate c.
0, 1
Let o(j) = -6*j**3 - 3*j**2 + 18*j - 12. Let x(c) = -2*c + 15. Let d be x(6). Let n(a) = -11*a**3 - 7*a**2 + 37*a - 24. Let w(u) = d*n(u) - 5*o(u). Factor w(g).
-3*(g - 1)**2*(g + 4)
Suppose 3*h - 992 + 972 = -j, 4*h - 18 = 3*j. Find l such that -3/7*l**j + 0*l + 3/7 = 0.
-1, 1
Let b = 252 - 124. Solve -3*m**3 + 111*m + m**3 - 207*m - b - 24*m**2 = 0 for m.
-4
Suppose -2*r - 25 = -7*r. Let v(l) be the third derivative of 0*l + 0 - 1/108*l**4 + 1/90*l**r + 1/945*l**7 - l**2 - 1/180*l**6 + 0*l**3. Factor v(w).
2*w*(w - 1)**3/9
Let m = -11643 - -58621/5. Let c = 82 - m. Factor -4/5 - 2*a**3 + 2*a + c*a**2.
-2*(a - 1)*(a + 1)*(5*a - 2)/5
Factor 624 + 330*o**3 + 689*o**2 + 121*o**2 + 31*o**4 + 34*o**4 + 945*o - 219 + 5*o**5.
5*(o + 1)*(o + 3)**4
Solve -2*z**3 - 5929/4 + 69/2*z**2 - 1/4*z**4 + 154*z = 0.
-11, 7
Let r = -5691 - -11383/2. Solve -r*b + 0 - 1/4*b**2 + 1/4*b**4 + 1/2*b**3 = 0.
-2, -1, 0, 1
Suppose z = 5*j - 259, 3*j + 265 = 8*j + 5*z. Suppose 3*f - j - 8 = 0. Determine m so that 0*m**3 - 19*m**2 + f*m**2 - m**3 = 0.
0, 1
Suppose -2*q = -6*q - 5*l - 4, 0 = 4*q - 2*l - 24. Suppose 2*m = w - 3*m + 18, 14 = -w + q*m. Factor 0 + 1/2*n**3 - 1/2*n**4 + 0*n + n**w.
-n**2*(n - 2)*(n + 1)/2
Let r = 117/70 - 11/7. Let o(k) be the first derivative of -r*k**5 - 1/2*k + 1/3*k**3 + 0*k**2 + 0*k**4 - 4. Factor o(a).
-(a - 1)**2*(a + 1)**2/2
Let r(u) be the second derivative of 0 - 1/16*u**4 + 3/4*u**2 - 1/8*u**3 + 6*u. Factor r(g).
-3*(g - 1)*(g + 2)/4
Let b(u) be the second derivative of -4*u**7/7 + 34*u**6/15 - 3*u**5 + u**4 + 2*u**3/3 + 352*u. Suppose b(j) = 0. Calculate j.
-1/6, 0, 1
Solve -19208/3 - 2/3*h**3 - 19600/3*h - 394/3*h**2 = 0 for h.
-98, -1
Let v(m) be the first derivative of -m**4/4 - 2*m**3/3 + 7*m**2/2 - 4*m + 113. Factor v(c).
-(c - 1)**2*(c + 4)
Let 2862*k**3 - 2862*k**3 - 2*k**5 - 2*k**4 = 0. What is k?
-1, 0
Let p(z) be the first derivative of -z**4/4 + 74*z**3/3 - 145*z**2/2 + 72*z + 461. Factor p(s).
-(s - 72)*(s - 1)**2
Let p(b) be the second derivative of 0 - 1/9*b**3 + 2/9*b**2 + 16*b + 1/54*b**4. Factor p(a).
2*(a - 2)*(a - 1)/9
Suppose -57/5*m**2 - 16/5*m**4 + 56/5*m**3 - 2/5 + 19/5*m = 0. What is m?
1/4, 1, 2
Let k(o) = o**3 + 25*o**2 + 25*o - 24. Let g be k(-24). Let s = 48 + g. Factor s*q + 0 + 1/8*q**4 + 0*q**3 + 0*q**2.
q**4/8
Let o(q) = q**2 + q. Let t(k) = 7*k**4 + 12*k**3 - k**2 - 5*k - 30. Let a(f) = -5*o(f) - t(f). Let s(p) be the first derivative of a(p). Factor s(y).
-4*y*(y + 1)*(7*y + 2)
Factor 0*h**3 - 26*h**2 + 7*h + 16*h**2 + 4*h**2 - h**3.
-h*(h - 1)*(h + 7)
Let i be -12 + 70/5 + 0 + 8/(-5). Determine o so that 0 + i*o**3 + 0*o**2 - 2/5*o = 0.
-1, 0, 1
Solve 24 - 6*q - 68*q**3 + 65*q**3 + 20*q**2 - 36*q + q**2 = 0 for q.
1, 2, 4
Let h(y) = 9 - 5*y**2 + 4*y**2 - 3*y + 2*y**2. Let n(x) = x**2 - 3*x + 8. Let u(t) = 6*h(t) - 7*n(t). Factor u(o).
-(o - 2)*(o - 1)
Let a = 841 - 838. Let o(u) be the third derivative of 1/4*u**4 - 2/3*u**a + 0 + 2*u**2 + 0*u - 1/30*u**5. Factor o(j).
-2*(j - 2)*(j - 1)
Let t(i) be the first derivative of i**6/21 - 2*i**5/5 - i**4/7 + 4*i**3/3 + i**2/7 - 2*i + 100. Solve t(k) = 0.
-1, 1, 7
Factor -418*w - 20 + 436*w + 0*w**2 + 2*w**2 + 0*w**2.
2*(w - 1)*(w + 10)
Suppose -3*x - 124 = -2*y, -4*x - 6 - 10 = 0. Let c be y/105 + 2/(-15). Let 0*s**2 - 2/5*s**3 + c*s + 1/5*s**4 - 1/5 = 0. Calculate s.
-1, 1
Let h(a) = a**3 + 12*a**2 + 19*a - 11. Let v be h(-10). Let q be v/(-1 - 15/10). Factor -2/5*n**3 + 0 - q*n + 4/5*n**2.
-2*n*(n - 1)**2/5
Let m(y) be the second derivative of 1/195*y**6 + 2/65*y**5 + 3*y + 1/26*y**4 + 0 - 4/13*y**2 - 4/39*y**3. What is d in m(d) = 0?
-2, -1, 1
Factor 7/2*n + 2*n**2 + 0 + 1/8*n**3.
n*(n + 2)*(n + 14)/8
Let s(i) be the third derivative of i**8/16 + 31*i**7/70 + 79*i**6/140 - 37*i**5/35 + 3*i**4/7 - 2*i**2 + 16. Find b, given that s(b) = 0.
-3, -2, 0, 2/7
Let j(h) be the first derivative of 1/2*h**3 + 15 + 0*h - 1/10*h**5 + 0*h**4 - 1/2*h**2. Determine d so that j(d) = 0.
-2, 0, 1
Let g(o) be the second derivative of -o**5/4 + 5*o**4/6 + 35*o**3/2 + 45*o**2 + 21*o. Determine r, given that g(r) = 0.
-3, -1, 6
Let i(s) be the second derivative of -5/27*s**3 + 0*s**2 - 2*s + 1/54*s**4 + 0. What is g in i(g) = 0?
0, 5
Let n(x) = -x**2 - 5*x - 4. Let h be (10 - 6) + (-5 - 0/1). Let f be n(h). Suppose 0 + f*t + 1/4*t**5 + 3/4*t**3 + 1/4*t**2 + 3/4*t**4 = 0. Calculate t.
-1, 0
Let s(p) be the third derivative of p**6/60 - p**5/3 + 8*p**4/3 - 32*p**3/3 - 4*p**2 - 28*p. Factor s(z).
2*(z - 4)**2*(z - 2)
Let k(z) be the third derivative of -z**5/330 + 3*z**4/22 - 17*z**3/33 - 76*z**2 - 2*z. Factor k(f).
-2*(f - 17)*(f - 1)/11
Let y(r) be the second derivative of -16*r**7/399 + 24*r**6/95 - 17*r**5/190 - 34*r**4/57 + 11*r**3/19 - 4*r**2/19 + 320*r. Let y(c) = 0. What is c?
-1, 1/4, 1, 4
Solve 46/5*n - 8/5*n**3 + 2*n**2 - 12/5 = 0 for n.
-2, 1/4, 3
Let v(t) = 12*t**4 - 33*t**3 + 33*t**2 + 6*t - 6. Let h(y) = -25*y**4 + 67*y**3 - 67*y**2 - 13*y + 13. Let o(p) = 6*h(p) + 13*v(p). Factor o(s).
3*s**2*(s - 3)*(2*s - 3)
Let q(o) = o - 2. Let k be q(6). Suppose t = k*t - 6. Factor -1 - 2 + 8*b**3 + 10*b**3 - 6*b**3 - 18*b**t + 12*b - 3*b**4.
-3*(b - 1)**4
Let -62/13 - 2/13*w**2 + 64/13*w = 0. Calculate w.
1, 31
Let a be (-11)/242*12*(-22)/3. Let c(n) be the second derivative of -5*n + 1/6*n**a + n**2 + 0 + 2/3*n**3. Solve c(v) = 0.
-1
Let v be 13 + 10 + 21/(-1). Determine j so that 0*j**v + 0*j - 3/10*j**4 + 0 + 1/10*j**3 = 0.
0, 1/3
Suppose 2*h - 5*y = 31, 0 = -0*h + 4*h - 4*y - 32. Factor 138*z + 3211*z**h + 72*z + 1170*z**2 + 8 + z - 47*z + 2197*z**4.
(z + 1)*(13*z + 2)**3
Let v(h) = -h**5 + h**3. Let c(g) = -g**5 - 30*g**4 - 64*g**3 - 50*g**2 - 15*g. Let u = 59 - 55. Let z(y) = u*v(y) + c(y). Factor z(m).
-5*m*(m + 1)**3*(m + 3)
Let m(p) be the third derivative of -p**7/70 - p**6/10 - 3*p**5/20 + p**4/2 + 2*p**3 + 41*p**2. Factor m(h).
-3*(h - 1)*(h + 1)*(h + 2)**2
Factor 8*a**4 - 4*a**3 - 12*a**2 + 2*a**3 - 10*a**2 - 16*a - 4*a**5 + 3*a**5 + 5*a**3.
-a*(a - 8)*(a - 2)*(a + 1)**2
Suppose -28 = -6*r - r. Let w be (r/(-10))/((-2)/4). Factor -w - 1/5*s**2 + 4/5*s.
-(s - 2)**2/5
Let y = 61/90 + -1/90. Let k(m) be the first derivative of 5 + 32*m + y*m**3 - 8*m**2. Solve k(w) = 0 for w.
4
Let b(i) be the third derivative of -i**7/4200 + i**5/600 - 13*i**3/6 + 2*i**2. Let x(c) be the first derivative of b(c). Factor x(k).
-k*(k - 1)*(k + 1)/5
Let i(c) be the first derivative of -c**6/2 - 27*c**5/5 - 87*c**4/4 - 43*c**3 - 45*c**2 - 24*c - 519. Factor i(g).
-3*(g + 1)**3*(g + 2)*(g + 4)
Suppose l - 3*i + 45 = 2*i, l + 4*i + 45 = 0. Let s be 35/l + 1 - (-50)/18. Factor 0*d**2 + 0 - 1/2*d**s + 1/2*d**5 + 0*d**4 + 0*d.
d**3*(d - 1)*(d + 1)/2
Let d(g) be the third derivative of g**6/40 + 189*g**5/10 + 11907*g**4/2 + 1000188*g**3 + 407*g**2. Factor d(b).
3*(b + 126)**3
Let w be (-4)/(-16)*(-200)/(-225). Solve 0*y + 2/9*y**4 - 4/9*y**2 + 0 + w*y**3 = 0 for y.
-2, 0, 1
Let b be 88/20*20/8. Suppose 12*j - 2 = b*j. Factor -2/9*z**j - 4/9*z - 2/9.
-2*(z + 1)**2/9
Let g be (-4)/12 - -1 - 440/5502. Let t = -2/131 + g. Factor 20/7*m - t*m**2 - 16/7.
-4*(m - 4)*(m - 1)/7
Let l be ((-84)/(-238))/(1/17). Let g(s) be the third derivative of 0 + 0*s - l*s**2 - 1/84*s**4 + 0*s**3 - 1/210*s**5. Solve g(q) = 0.
-1, 0
Suppose -16 = y - 5*y. Factor 42*s**4 + 11*s**2 - 54*s**y + 5*s**2 + 6*s**5 - 2*s**5.
4*s**2*(s - 2)**2*(s + 1)
Le