39 - 16*h**3/39 + 7*h**2 - 5. Solve j(m) = 0.
-4
Let b = 192 - 4031/21. Let d(h) be the third derivative of 0 + 0*h - 1/42*h**4 - b*h**3 - 1/210*h**5 - 2*h**2. Determine v, given that d(v) = 0.
-1
Let q(l) be the first derivative of -l**6/9 + 14*l**5/15 - 5*l**4/2 + 26*l**3/9 - 4*l**2/3 - 37. Suppose q(f) = 0. Calculate f.
0, 1, 4
Let d be -5 - (-63)/12 - (-22)/8. Suppose -2 = -m + a + 3, 5*m - 23 = d*a. Factor 1/2*x + 1/2*x**2 - 1/2*x**m + 0 - 1/2*x**3.
-x*(x - 1)*(x + 1)**2/2
Suppose -4*f + i + 76 = 23, -39 = -2*f + 3*i. Let x be 4/(-6) - f/(-18). Factor 4*n + 6*n**2 - 4*n**3 + x*n - 4*n**4 - 2*n**4.
-2*n*(n - 1)*(n + 1)*(3*n + 2)
Let p = -971/12 - -81. Let c(d) be the third derivative of 1/60*d**6 + 0 + 2*d**2 + 0*d - 1/420*d**7 - 1/12*d**3 + p*d**4 - 1/20*d**5. Factor c(a).
-(a - 1)**4/2
Let u(c) = -190*c**5 + 190*c**4 + 295*c**3 - 785*c**2 + 215*c. Let b(m) = 7*m**5 - 7*m**4 - 11*m**3 + 29*m**2 - 8*m. Let q(p) = -55*b(p) - 2*u(p). Factor q(r).
-5*r*(r - 1)**3*(r + 2)
Solve 2/11*u**5 - 126/11 + 354/11*u + 156/11*u**3 - 356/11*u**2 - 30/11*u**4 = 0 for u.
1, 3, 7
Let p(c) be the first derivative of -11*c**6/9 - 14*c**5/3 - 13*c**4/2 - 34*c**3/9 - 2*c**2/3 + 302. Find t such that p(t) = 0.
-1, -2/11, 0
Let a(w) be the second derivative of w**5/80 - 5*w**4/16 + 31*w**3/12 - 6*w**2 - 52*w. Let a(f) = 0. Calculate f.
1, 6, 8
Suppose 4 = 2*q + 4*p, -4*q + 0 - 4 = 4*p. Let m be (-5)/(-15)*q*6/(-4). Factor 0 + 0*n - 4/7*n**3 + 8/7*n**m.
-4*n**2*(n - 2)/7
Find q, given that -3817*q + 3927*q + 635 - 5*q**2 - 115 = 0.
-4, 26
Let m(g) be the first derivative of -2/5*g**5 + 7/2*g**2 + 1/2*g**4 + 8/3*g**3 - 1/6*g**6 + 2*g - 6. Factor m(b).
-(b - 2)*(b + 1)**4
Let r(i) be the second derivative of 4*i**7/7 - 7*i**6/5 - 39*i**5/20 + 4*i**4 + 5*i**3/2 - 3*i**2 - i - 103. Suppose r(t) = 0. Calculate t.
-1, -1/2, 1/4, 1, 2
Let h(c) be the first derivative of c**8/56 - 4*c**7/105 + c**6/60 - 3*c**2 - 9. Let k(b) be the second derivative of h(b). Suppose k(m) = 0. Calculate m.
0, 1/3, 1
Let t(k) = -110*k**3 - 3015*k**2 + 155*k + 2970. Let s(c) = -5*c**3 - 137*c**2 + 7*c + 135. Let h(u) = 45*s(u) - 2*t(u). Suppose h(o) = 0. Calculate o.
-27, -1, 1
Suppose -5 = 4*q - 2*p - 9, -5*p + 17 = -q. Determine x so that -8/7*x**2 - 10/7*x - 2/7*x**q - 4/7 = 0.
-2, -1
Let w be -82*(6/15)/(4/(-5)). Factor 24*x - 59*x**3 + w*x**3 - 3*x**4 - 4*x**5 + 12*x**2 - 12*x**4 + x**5.
-3*x*(x - 1)*(x + 2)**3
Let i(z) be the second derivative of z**4/60 - 259*z**3/15 + 67081*z**2/10 + 1017*z. Factor i(x).
(x - 259)**2/5
Let k(g) be the third derivative of g**5/114 - 2*g**4/57 + g**3/19 - g**2 + 22*g. Solve k(x) = 0.
3/5, 1
Let n(y) be the first derivative of y**8/168 - y**7/105 - y**6/60 + y**5/30 + 15*y**2/2 - 10. Let x(i) be the second derivative of n(i). Factor x(d).
2*d**2*(d - 1)**2*(d + 1)
Let u(s) be the first derivative of -1/21*s**4 + 0*s + 1/210*s**5 + 4/21*s**3 + 3 + 3/2*s**2. Let b(f) be the second derivative of u(f). Solve b(z) = 0.
2
Let j(x) be the third derivative of x**6/140 - 57*x**5/70 + 30*x**4 - 112*x**3 - 62*x**2. Find a, given that j(a) = 0.
1, 28
Factor -90*k**2 + 85 + 80*k**3 + 507*k + 3*k**4 - 2*k**4 + 4*k**4 - 587*k.
5*(k - 1)**2*(k + 1)*(k + 17)
Let h(b) = -6*b**2 + 8*b - 8. Let a(s) = -5*s**2 + 8*s - 8. Let p(k) = -4*a(k) + 3*h(k). Determine z so that p(z) = 0.
2
Suppose -2978*x = 5*r - 2981*x + 11, 0 = 5*x - 35. What is z in -10/3*z**3 + 0*z - 4/3*z**4 + 4/3*z**r + 10/3*z**5 + 0 = 0?
-1, 0, 2/5, 1
Factor -9*f**2 - 29/3*f + 1/3*f**4 - 10/3 - 7/3*f**3.
(f - 10)*(f + 1)**3/3
Let l = 21 + -23. Let d be (-36)/(-12) + 1 + l. What is x in 5*x + 15*x - 7*x**2 - 2 - d - 16*x**2 + 7*x**3 = 0?
2/7, 1, 2
Let d(g) = g**4 + 2*g. Let q(v) = -8*v**4 - v**3 - v**2 - 17*v. Let c(j) = -18*d(j) - 2*q(j). Factor c(o).
-2*o*(o - 1)**2*(o + 1)
Suppose -4*a + 2*y = 4, 14*a = 9*a - 2*y + 4. Factor -6/7*c**4 - 2/7*c**5 + 0*c**2 + 0*c + a - 4/7*c**3.
-2*c**3*(c + 1)*(c + 2)/7
Let b(n) = -n**3 + 9*n**2 + 18*n + 4. Let a(f) = -2*f**3 + 8*f**2 + 16*f + 3. Let c(i) = 4*a(i) - 3*b(i). Factor c(j).
-5*j*(j - 2)*(j + 1)
Let t be -3 + 14/(-8 + 9) + -9. Factor 0 - 2/9*z + 1/9*z**t.
z*(z - 2)/9
Let t(k) be the third derivative of k**6/3060 + 2*k**5/255 - 5*k**3 - 5*k**2. Let a(m) be the first derivative of t(m). Factor a(l).
2*l*(l + 8)/17
Let s = -6 - -29. Factor -21*w - 8*w**2 + s*w**2 - 3*w**3 + 9 + 0*w.
-3*(w - 3)*(w - 1)**2
Let t(s) be the third derivative of s**7/210 - 3*s**6/40 + 29*s**5/60 - 13*s**4/8 + 3*s**3 + 60*s**2. Factor t(l).
(l - 3)**2*(l - 2)*(l - 1)
Let j(z) be the second derivative of -z**4/4 - 9*z**3/2 - 21*z**2 - 71*z. Solve j(t) = 0.
-7, -2
Let z be 1073/1665 - (-2)/20*-6. Let b(u) be the first derivative of 1/18*u**4 + 2/27*u**3 - 1/27*u**6 - z*u**5 + 0*u**2 + 0*u - 6. Factor b(f).
-2*f**2*(f - 1)*(f + 1)**2/9
Suppose 2*x + 28 = 6*b, 233*b - 236*b + 4*x + 29 = 0. Let -4/15*l - 2/15*l**2 + 0 + 2/15*l**b = 0. What is l?
-1, 0, 2
Factor 2*a**2 + 6*a - 3*a**2 + 0*a**2 + 9 + 2*a**2.
(a + 3)**2
Let c be (-78)/(-16) + 16/128. What is v in 9/8*v**2 - 3/8*v**c + 0*v + 0 + 3/8*v**3 - 9/8*v**4 = 0?
-3, -1, 0, 1
Let z(j) = j**2 - 1. Let v(g) = -g - 5. Let l be v(-7). Let h(s) = 2 - s**l - 1 + 3*s + 2 - s. Let y(x) = h(x) + 2*z(x). Factor y(o).
(o + 1)**2
Suppose 0 = -2*q - 3*q + 2460. Let j = q + -1953/4. Solve 3*p**3 + 0 - 3/4*p**4 + 3/2*p - j*p**2 = 0 for p.
0, 1, 2
Let t(w) be the second derivative of w**6/30 - 3*w**5/20 - 2*w - 111. Find a such that t(a) = 0.
0, 3
Let d(q) be the third derivative of q**6/120 - 7*q**5/30 + 65*q**4/24 - 50*q**3/3 - 200*q**2. Determine i so that d(i) = 0.
4, 5
Let d(c) be the first derivative of -7*c**4/4 + 53*c**3 + 107*c**2 + 48*c + 3. Factor d(u).
-(u - 24)*(u + 1)*(7*u + 2)
Suppose -t + 3*g = -9, 0 = -t + 4*t + g + 23. Let y(s) = s**3 + 1. Let z(v) = 7*v**3 - 2*v**2 + v + 6. Let m(p) = t*y(p) + z(p). Factor m(u).
u*(u - 1)**2
Let m = -418/615 - -182/123. Solve 4/5*z - m*z**3 + 2/5*z**4 + 6/5 - 8/5*z**2 = 0.
-1, 1, 3
Determine p, given that 30*p + 6/7*p**3 - 66/7*p**2 - 150/7 = 0.
1, 5
Let r(f) be the first derivative of -3/2*f**4 + 1/2*f**6 + 3/2*f**2 + 0*f**3 + 0*f + 0*f**5 + 14. Factor r(b).
3*b*(b - 1)**2*(b + 1)**2
Factor -117/5 - 8*n**2 + 4/5*n**3 - 147/5*n.
(n - 13)*(2*n + 3)**2/5
Let z be -18 + 3260/180 + (-1)/((-90)/206). Suppose z*y**2 + 2/5 - 14/5*y = 0. Calculate y.
1/6, 1
Let a be (-62)/(-70) + 10/(-385)*11. Find m, given that -12*m - 24/5*m**2 - 48/5 - a*m**3 = 0.
-4, -2
Determine i so that 1/6*i - 1/6*i**4 + 0 - 1/6*i**3 + 1/6*i**2 = 0.
-1, 0, 1
What is l in -144/5*l**2 + 0 - 3/5*l**5 + 144/5*l**4 + 1728/5*l - 345*l**3 = 0?
-1, 0, 1, 24
Solve -11552/7 - 2280/7*q + 144/7*q**2 - 2/7*q**3 = 0 for q.
-4, 38
Suppose -379 = 12*l + 557. Let u be 4/(-6) + (-208)/l. Determine p, given that 0*p + u - 1/2*p**2 = 0.
-2, 2
Let u(f) be the first derivative of 7*f**6/480 - 3*f**5/80 - f**4/8 + f**3/6 + 15*f**2/2 - 8. Let l(w) be the second derivative of u(w). Factor l(z).
(z - 2)*(z + 1)*(7*z - 2)/4
Let t(q) be the third derivative of 4*q**7/105 + 13*q**6/20 + 3*q**5 - 25*q**4/12 + q**2 + 107. Factor t(x).
2*x*(x + 5)**2*(4*x - 1)
Find a, given that -16/5*a**3 + 348/5*a**2 + 0 + 88/5*a = 0.
-1/4, 0, 22
Let j(x) = 2*x**3 + 80*x**2 - 82*x - 5. Let y(o) = 4*o**3 + 120*o**2 - 124*o - 8. Let f(q) = 8*j(q) - 5*y(q). Factor f(i).
-4*i*(i - 9)*(i - 1)
Let c(s) be the second derivative of 0*s**2 + 17*s + 0 - 1/24*s**4 - 1/4*s**3. Factor c(k).
-k*(k + 3)/2
Let j = 269 - 266. Let c(t) be the first derivative of -1/4*t**j - 1/20*t**5 + 4 - 3/16*t**4 + 0*t - 1/8*t**2. What is h in c(h) = 0?
-1, 0
Let d be 4/(-18)*(66/(-8))/11. Let w(j) be the third derivative of 0*j - 4*j**2 + d*j**4 + j**3 - 1/30*j**5 + 0. Factor w(x).
-2*(x - 3)*(x + 1)
Let n(l) be the second derivative of l**9/52920 + l**8/23520 - l**7/8820 - l**6/2520 - 5*l**4/3 - 23*l. Let k(z) be the third derivative of n(z). Factor k(h).
2*h*(h - 1)*(h + 1)**2/7
Let m(t) = -5*t**2 + 55*t - 90. Let g be m(9). Factor -8/21*b**2 - 2/7*b**3 + g + 0*b + 2/21*b**4.
2*b**2*(b - 4)*(b + 1)/21
Find k, given that -12*k + 9*k**5 + 119*k**3 - 5*k**4 - 60*k**3 - 56*k**3 - 34*k**4 + 39*k**2 = 0.
-1, 0, 1/3, 1, 4
Let z(y) be the third derivative of y**5/270 + 2*y**4/27 + 7*y**3/27 - 117*y**2. Factor z(i).
2*(