1*z**2/2 - 14*z. Let l(n) be the first derivative of u(n). Factor l(q).
-5*(q + 5)**2
Factor -176/3*t + 16 - 68/3*t**2 + 16/3*t**3.
4*(t - 6)*(t + 2)*(4*t - 1)/3
Let q = 114 - 111. Determine c so that -12*c**4 + 22*c**4 - 45*c + 10*c**4 + 45*c**q - 10 - 10*c**2 = 0.
-2, -1, -1/4, 1
Let a(f) = f - 13. Let z be a(17). Solve -64*m + 22*m - z*m**3 - 16*m**2 + 30*m = 0.
-3, -1, 0
Let a(p) be the second derivative of p**8/26880 + p**7/10080 - p**6/2880 - p**5/480 + 2*p**4 + 18*p. Let s(x) be the third derivative of a(x). Factor s(n).
(n - 1)*(n + 1)**2/4
Suppose -6*b + 16 = -8. Let x(q) = -7*q**2 + 7*q. Let c(f) = -27*f**2 + 27*f. Let s(m) = b*c(m) - 15*x(m). Factor s(n).
-3*n*(n - 1)
Let g be (-490)/(-180) + 55/(-22). Suppose -2*i + 4*i - 4 = 0. Determine x, given that g*x**i + 0*x - 2/9 = 0.
-1, 1
Let g = 2544507/508660 + -3312/877. Let j = -3/116 + g. Factor 3/5*h - 3/5*h**2 + j.
-3*(h - 2)*(h + 1)/5
Let o(a) be the second derivative of 3*a**5/20 - a**4/6 - 5*a**3/6 + 2*a**2 + 627*a. Find l, given that o(l) = 0.
-4/3, 1
Let b be 6408/(-1848)*-7 + -23. Factor -4/11 - 18/11*q - b*q**2.
-2*(q + 1)*(7*q + 2)/11
Let f(r) be the third derivative of -r**10/30240 + r**8/6720 - 2*r**4/3 + 11*r**2. Let i(u) be the second derivative of f(u). Find t, given that i(t) = 0.
-1, 0, 1
Let b = -1/567 - -575/4536. Let -1/8*n**4 - b*n**3 + 3/8*n**2 + 5/8*n + 1/4 = 0. What is n?
-1, 2
Let k(o) be the third derivative of -3*o**5/20 - o**4/24 + o**3 + 7*o**2. Let r(q) = -55*q**2 - 5*q + 35. Let d(x) = 25*k(x) - 4*r(x). Factor d(g).
-5*(g - 1)*(g + 2)
Let v be 10/(-45) - (-3 + 125/45). Let k(m) be the second derivative of v - 1/12*m**3 + 1/40*m**5 - 1/24*m**4 + 1/4*m**2 - 5*m. Suppose k(u) = 0. Calculate u.
-1, 1
Let x(t) be the first derivative of t**6/16 + 3*t**5/20 - 3*t**4/32 - t**3/4 + 36. Let x(o) = 0. What is o?
-2, -1, 0, 1
Suppose 5*d + 0*d - w - 100 = 0, d = 2*w + 20. Let s = d - 14. Solve 11*i**3 - 14*i**3 + s*i - 3*i = 0.
-1, 0, 1
Let g(i) be the third derivative of -24*i**7/35 - 37*i**6/5 - 1441*i**5/60 - 37*i**4/4 - 3*i**3/2 + 2*i**2 + 5. Suppose g(q) = 0. Calculate q.
-3, -1/12
Let x = 356 + -353. Let h(l) be the first derivative of l**4 + 7 + 1/3*l**6 - 6/5*l**5 - 3*l**2 + 2*l + 4/3*l**x. What is y in h(y) = 0?
-1, 1
Factor 112/3*k**2 - 2/3*k**4 - 22/3*k**3 - 40*k + 0.
-2*k*(k - 2)**2*(k + 15)/3
Let u(p) be the third derivative of -p**6/1080 + 13*p**4/216 - 2*p**3/9 - 231*p**2. Let u(b) = 0. Calculate b.
-4, 1, 3
Let z = -108 + 109. Let u be (1 - z)/((-3 - -2) + 3). Suppose 0*r + 18/5*r**5 + 6*r**4 + 14/5*r**3 + u + 2/5*r**2 = 0. Calculate r.
-1, -1/3, 0
Let p(g) be the third derivative of g**7/315 + g**6/20 + 7*g**5/30 + 19*g**4/36 + 2*g**3/3 - 163*g**2. Factor p(v).
2*(v + 1)**3*(v + 6)/3
Let w(t) be the first derivative of -5 - 3/2*t**2 - 1/3*t**3 + 0*t. Factor w(y).
-y*(y + 3)
Let m = 2996/7515 - -2/1503. Factor 2/5*h - 4/5*h**2 + 0 + m*h**3.
2*h*(h - 1)**2/5
Let o(l) be the second derivative of l**4/96 - 13*l**3/48 - 7*l**2/8 - 30*l. Factor o(u).
(u - 14)*(u + 1)/8
Factor 5*u**2 + 25/2*u + 5.
5*(u + 2)*(2*u + 1)/2
Let z(b) be the first derivative of 1/120*b**6 + 0*b**2 + 2 + 1/40*b**5 + 5/3*b**3 + 0*b - 1/4*b**4. Let n(y) be the third derivative of z(y). Factor n(v).
3*(v - 1)*(v + 2)
Suppose -2/3*t**2 + 134/3*t + 136/3 = 0. Calculate t.
-1, 68
Let i(p) be the second derivative of -p**7/294 - p**6/105 - 13*p. Solve i(t) = 0.
-2, 0
Suppose 97*g = 96*g + 5. Factor -14*r**5 - 14*r**5 + 8*r**2 + 32*r**g - 4*r - 8*r**4.
4*r*(r - 1)**3*(r + 1)
Let w(p) = p**2 - 22*p + 29. Let z be w(21). Determine y, given that -6*y**2 + z*y**2 + 0*y + 2 + 6*y + 2 = 0.
-2, -1
Let m be 231/22*2/5 + -5 + 1. Factor m*q**4 - 4/5*q + 0 + 0*q**2 + 3/5*q**3.
q*(q - 1)*(q + 2)**2/5
Let g(l) be the third derivative of 3*l**7/70 - 6*l**6/5 + 22*l**5/5 - 64*l**4/9 + 56*l**3/9 - 243*l**2. Find m, given that g(m) = 0.
2/3, 14
Let l = -520 - -523. Let y(z) be the first derivative of 0*z**2 - 1/20*z**5 - 4 + 0*z + 1/16*z**4 + 0*z**l. Factor y(h).
-h**3*(h - 1)/4
Let z(s) = -8*s**2 - 17*s. Let o(l) = -9*l**2 - 16*l. Suppose -4*k = 0, 4*q - 4*k - 9 = 7*q. Let u(i) = q*o(i) + 4*z(i). Let u(b) = 0. Calculate b.
-4, 0
Let l(p) be the second derivative of -p**7/105 + p**6/75 + 9*p**5/50 - 3*p**4/10 + 514*p. Let l(s) = 0. What is s?
-3, 0, 1, 3
Let j = -12 - -15. Factor j*a**2 - 6 - 2*a + 0*a**2 + 5*a.
3*(a - 1)*(a + 2)
Let x = 2009/8068 + 2/2017. Solve 1/2 - x*m - 1/4*m**2 = 0.
-2, 1
Let g be -7 + (1104/(-30))/(-8) + 3. Factor 0 + 4/5*u**2 + g*u + 1/5*u**3.
u*(u + 1)*(u + 3)/5
Suppose 84 = -12*j + 16*j. Let o be (-6)/(-4) - j/(-14). Let 11/2*i + 3/2*i**2 + o = 0. Calculate i.
-3, -2/3
Let l(t) be the second derivative of -7*t**6/180 - t**5/60 + 7*t**4/72 + t**3/18 + 124*t. Factor l(i).
-i*(i - 1)*(i + 1)*(7*i + 2)/6
Let r(g) be the first derivative of -4*g**5/5 - 42*g**4 - 160*g**3/3 + 84*g**2 + 164*g + 649. Find s such that r(s) = 0.
-41, -1, 1
Find k such that -1/2*k + 3/4 - 1/4*k**2 = 0.
-3, 1
Let -167*a**2 - 1433*a - 292*a + 490 + 202*a**2 = 0. Calculate a.
2/7, 49
Let m(y) be the third derivative of y**8/100800 - y**7/12600 + y**6/3600 + y**5/15 + 9*y**2. Let j(u) be the third derivative of m(u). Factor j(z).
(z - 1)**2/5
Let 48400/3 + 880/3*q + 4/3*q**2 = 0. Calculate q.
-110
Let j = -392 + 396. Let u(y) be the second derivative of -j*y + 0 + 1/6*y**4 - 4/3*y**3 + 0*y**2. Let u(x) = 0. What is x?
0, 4
Factor -169 - 29/3*l**2 + 1/3*l**3 + 247/3*l.
(l - 13)**2*(l - 3)/3
Factor 2/3*h**5 - 16/3 + 50/3*h**3 + 56/3*h - 16/3*h**4 - 76/3*h**2.
2*(h - 2)**3*(h - 1)**2/3
Let t(p) be the third derivative of -p**6/480 - 7*p**5/240 + 5*p**4/48 + 2*p**3/3 - 151*p**2. Find g such that t(g) = 0.
-8, -1, 2
Suppose -2*u = -4*o - 4, 5*o - 28*u = -25*u - 6. Factor -6/5*t**4 + o*t + 0 + t**3 + 1/5*t**2.
-t**2*(t - 1)*(6*t + 1)/5
Let j be 114/19 + 2*2/(-8)*6. Solve -1/3*u + 1/2*u**2 + 0 - 1/6*u**j = 0 for u.
0, 1, 2
Suppose 0 = -4*s - 6*r + 3*r + 10, -30 = -5*s + 5*r. Suppose -1 = -s*y + 11. What is z in -29*z**2 + 3*z + 32*z**2 + 0*z**3 - 3*z**y - 3 = 0?
-1, 1
Let n(h) be the first derivative of -2*h**3/9 - 8*h**2/3 - 14*h/3 + 94. Solve n(q) = 0.
-7, -1
Determine s so that -2/5 - 1/10*s**3 - 1/2*s**2 - 4/5*s = 0.
-2, -1
Let i be (3 - 2)*(1 - -2). What is r in r**2 - 42*r + i*r**5 + 5*r**2 + 39*r - 6*r**4 = 0?
-1, 0, 1
Let j be (-10)/(-65) + (-376)/3120. Let z(k) be the second derivative of -7*k + 1/10*k**3 - 1/10*k**2 + 0 - j*k**4. Find h, given that z(h) = 0.
1/2, 1
Let z be (-10)/8*(-912)/2850. Factor 0*a + 0 + 0*a**2 - z*a**4 + 2/5*a**3.
-2*a**3*(a - 1)/5
Suppose -99*h + 172 + 2060 = -2223. Find p, given that h*p**2 + 9 - 87/2*p - 21/2*p**3 = 0.
2/7, 1, 3
Let n = 484/217 - 16/31. Let m(u) be the first derivative of 1/14*u**4 + 16/7*u + n*u**2 + 6 + 4/7*u**3. Determine o so that m(o) = 0.
-2
Let o(q) be the third derivative of 10*q**2 + 1/1080*q**6 + 0*q + 0*q**4 + 1/180*q**5 + 0 + 2/3*q**3. Let t(h) be the first derivative of o(h). Factor t(l).
l*(l + 2)/3
Let d(v) be the first derivative of v**6/12 - 2*v**5/5 + v**4/4 + 2*v**3/3 - 3*v**2/4 + 49. Determine u so that d(u) = 0.
-1, 0, 1, 3
Let q be ((-13)/130)/((-216)/480). Determine b, given that 0 - q*b**3 - 8/9*b - 8/9*b**2 = 0.
-2, 0
Let n(v) = -v**3 + 4*v**2 - 5*v + 6. Let r be n(5). Let u be 1/4 - r/16. Factor -2/3*w**2 + 2/9*w - 8/9*w**u + 0.
-2*w*(w + 1)*(4*w - 1)/9
Let j(y) be the third derivative of -y**7/420 - y**6/48 - 3*y**5/40 - 7*y**4/48 - y**3/6 - 41*y**2. Find d, given that j(d) = 0.
-2, -1
Suppose 3*v - 14 + 11 = 0. Let b be (-3)/(-15) + 18/10. Let n(y) = 3*y**2 + y + 2. Let g(m) = m - 1. Let t(c) = b*g(c) + v*n(c). Let t(l) = 0. Calculate l.
-1, 0
Suppose 3*f - 3*k - 27 = -9, -4*f - k + 4 = 0. Let l(i) be the second derivative of 0 + 1/2*i**3 - 1/2*i**2 - 1/4*i**4 + f*i + 1/20*i**5. Factor l(n).
(n - 1)**3
Let a(y) be the second derivative of -y**6/30 + y**4/3 + 14*y - 4. Find x such that a(x) = 0.
-2, 0, 2
Let d(z) be the second derivative of -z**6/24 + z**5/4 - 5*z**4/12 + 15*z**2 + 7*z. Let m(g) be the first derivative of d(g). Factor m(j).
-5*j*(j - 2)*(j - 1)
Let j(r) be the first derivative of -r**6/540 - r**5/60 + r**4/9 - 10*r**3/3 - 5. Let u(o) be the third derivative of j(o). Factor u(v).
-2*(v - 1)*(v + 4)/3
Suppose -94 +