5.
-2*y**3*(y + 1)*(y + 3)/9
Let g(d) be the third derivative of -16*d**2 - 1/70*d**6 - 13/490*d**7 + 0*d**3 + 1/35*d**5 + 0 - 5/784*d**8 + 0*d**4 + 0*d. Determine q so that g(q) = 0.
-2, -1, 0, 2/5
Let r(w) = -2*w + 36. Let j be r(14). Suppose 12*v = j*v + 12. Factor 2/3*i**4 + 0*i - 2/3*i**v + 0 - 4/3*i**2.
2*i**2*(i - 2)*(i + 1)/3
Let i(k) be the second derivative of -7*k**5/80 + 19*k**4/48 - k**3/3 - k**2/2 + 73*k. Factor i(b).
-(b - 2)*(b - 1)*(7*b + 2)/4
Let l(y) = y**3 - 24*y**2 - 26*y + 28. Let f be l(25). Solve 15 + 221*w**3 + 275*w**2 - 140*w + 36*w**3 - 7*w**f = 0.
-3/2, 1/5
Determine l so that 2*l - l - 4*l + 18 - l**2 + 0*l = 0.
-6, 3
Let a(m) be the first derivative of -m**5/12 - 5*m**4/6 - 10*m**3/3 + 7*m**2/2 - 11. Let d(j) be the second derivative of a(j). Suppose d(b) = 0. What is b?
-2
Let 2/9*m**2 + 32/9*m + 0 = 0. Calculate m.
-16, 0
Find f such that 16/5*f**2 - 20 + 2/5*f**3 + 2*f = 0.
-5, 2
Suppose -5*i = 3*a - 529, -706 = -4*a - 4*i - 6. Suppose 0*z + z + 2*x - a = 0, -2*z + 366 = -x. Factor -z - 2*g**2 + 181 + 6*g.
-2*g*(g - 3)
Let a(m) be the first derivative of 3*m**5/5 - 9*m**4/4 + 3*m**3 - 3*m**2/2 - 59. Find y, given that a(y) = 0.
0, 1
Let s(j) be the second derivative of 0 - 29/3*j**3 + 6*j**2 + 14/3*j**4 + 16*j. Let s(r) = 0. Calculate r.
2/7, 3/4
Let q be (-6 - -16) + 0 + -4. Let n(z) be the third derivative of 0 - 1/15*z**3 + 1/150*z**5 - 7*z**2 + 0*z - 1/300*z**q + 1/60*z**4. Find r such that n(r) = 0.
-1, 1
Let j be ((-3)/(-7))/((-126)/(-588)). Let d(n) be the second derivative of -12*n + 1/24*n**4 + 0 + 0*n**j - 1/12*n**3. Let d(k) = 0. What is k?
0, 1
Let j be (42/(-8))/(27/576). Let m be ((j/(-40))/7)/(1/5). Suppose m + 0*z - 1/2*z**2 = 0. Calculate z.
-2, 2
Solve 28/3 - 50/3*k + 62/7*k**2 + 2/21*k**4 - 34/21*k**3 = 0 for k.
1, 2, 7
Let l(h) be the second derivative of 5*h**8/336 - h**6/8 - h**5/6 - 6*h**2 + 11*h. Let j(d) be the first derivative of l(d). Factor j(w).
5*w**2*(w - 2)*(w + 1)**2
Let m = 1808/7 + -258. Let w = m - 5/42. Factor w*f**2 - 1/3*f + 0.
f*(f - 2)/6
Let k(a) be the third derivative of a**6/140 - 17*a**5/140 - 29*a**4/56 - 5*a**3/7 + 4*a**2 - 3. Factor k(b).
3*(b - 10)*(b + 1)*(2*b + 1)/7
Let h(a) be the third derivative of 23*a**7/420 + a**6/5 - 19*a**5/120 - a**4 - a**3/3 - 82*a**2 - 2*a. Suppose h(m) = 0. What is m?
-2, -1, -2/23, 1
Suppose 0 = -11*d + 30 + 25. Factor -5 + 3 + d*s**2 + 0*s + 10*s - 13.
5*(s - 1)*(s + 3)
What is p in -40/3*p**4 + 4/3*p**5 - 232/3*p**3 + 64/3*p**2 + 236*p - 168 = 0?
-3, 1, 14
Let r be (3/9)/(1/66). What is j in 197 + r + 3*j**2 + 54*j + 24 = 0?
-9
Let d(h) = -h**3 + 7*h**2 + 9*h - 5. Let w be d(8). Suppose -9 - w = -2*j. Factor -j - 16*a - 5*a**2 - 26 + 3*a**2.
-2*(a + 4)**2
Let x(f) be the third derivative of f**5/330 - 25*f**4/66 + 625*f**3/33 - f**2 + 1. Factor x(b).
2*(b - 25)**2/11
Factor -6*m**4 - 10*m**2 + 37 + 17*m**3 + 8 - 45.
-m**2*(m - 2)*(6*m - 5)
Let d = -575/77 - -597/77. Factor 0 - 8/7*z**2 - 8/7*z + 2/7*z**4 + d*z**3.
2*z*(z - 2)*(z + 1)*(z + 2)/7
Let a(p) be the second derivative of -1/6*p**3 + 5/24*p**4 + 30*p + 0 - 3/4*p**2. Factor a(r).
(r - 1)*(5*r + 3)/2
Let v(x) = 3*x**3 + 127*x**2 + 2017*x + 10125. Let h(k) = 2*k**3 + 85*k**2 + 1345*k + 6750. Let l(a) = -8*h(a) + 5*v(a). Solve l(s) = 0.
-15
Let p(f) be the third derivative of 0*f - 1/280*f**6 + 1/56*f**4 + 5*f**2 + 1/7*f**3 + 1/490*f**7 - 3/140*f**5 + 0. Factor p(v).
3*(v - 2)*(v - 1)*(v + 1)**2/7
Let a(l) = -65*l + 1045. Let u be a(16). Let r(x) be the third derivative of 19/96*x**4 - 1/4*x**3 + 0*x + 7/240*x**u - 3*x**2 + 0. Factor r(v).
(v + 3)*(7*v - 2)/4
Let s(t) be the second derivative of 3*t**5/20 - 7*t**3/2 - 9*t**2 + 2*t - 174. Factor s(y).
3*(y - 3)*(y + 1)*(y + 2)
Let s(k) be the first derivative of -1/8*k**4 + 0*k**2 - 3 - 1/3*k**3 + 0*k. Find p such that s(p) = 0.
-2, 0
Let v be 5 - 4 - -1*87/(-90). Let x(y) be the second derivative of 2*y + 0 - v*y**5 + 1/45*y**6 + 1/63*y**7 - 1/18*y**4 + 0*y**2 + 0*y**3. Factor x(p).
2*p**2*(p - 1)*(p + 1)**2/3
Factor 0 + 200/7*h**3 + 0*h + 550/7*h**4 - 8/7*h**2.
2*h**2*(5*h + 2)*(55*h - 2)/7
Let v(l) be the third derivative of l**5/15 - 44*l**4/3 + 3872*l**3/3 - l**2 + 1. Determine w, given that v(w) = 0.
44
Let t(g) be the first derivative of -3*g**4/8 - 7*g**3 - 75*g**2/4 - 18*g + 2. Factor t(r).
-3*(r + 1)**2*(r + 12)/2
Let m(y) be the second derivative of -1/60*y**5 - 5/72*y**4 - 1/9*y**3 + 0 + 10*y - 1/12*y**2. Suppose m(l) = 0. What is l?
-1, -1/2
Let k(i) = i**3 + 14*i**2 + 22*i + 17. Let a be k(-10). Let d = a + -387/2. Factor -s + 0 - d*s**2.
-s*(7*s + 2)/2
Suppose -36*u**4 - 16 + 47*u**2 + 46*u + 5*u**2 - 70*u + 10*u**5 + 14*u**3 = 0. What is u?
-1, -2/5, 1, 2
Let z(o) = 385*o**5 + 205*o**4 - 180*o**3 + 60*o**2 + 20*o + 20. Let i(d) = -d**3 + 2*d**2 + d + 1. Let x(v) = 20*i(v) - z(v). Let x(q) = 0. Calculate q.
-1, 0, 2/11, 2/7
Let d(k) be the third derivative of k**6/30 - k**5/5 + k**4/3 - 33*k**2 - 3*k. Factor d(n).
4*n*(n - 2)*(n - 1)
Let n(f) be the first derivative of f**6/45 + 2*f**5/25 - f**4/30 - 2*f**3/15 - 83. Find y such that n(y) = 0.
-3, -1, 0, 1
Let y(w) be the first derivative of w**3/9 + 29*w**2/6 + 703. Determine c, given that y(c) = 0.
-29, 0
Let t be -2 + -3 - (-102)/16. Find r such that 1/4 + 11/8*r**3 + 7/8*r**2 - 9/8*r**4 - t*r = 0.
-1, 2/9, 1
Let h(g) be the third derivative of g**8/30240 - g**7/1890 + g**5/6 + 24*g**2. Let x(d) be the third derivative of h(d). What is n in x(n) = 0?
0, 4
Let g(m) = -10 - 3*m + 8 - m**2 - 34 - 10*m. Let v be g(-8). Let 3*t - 5*t**2 + 7/3*t**3 - 1/3*t**v + 0 = 0. What is t?
0, 1, 3
Let g be (-9)/6*40/(-15). Factor -64 - 63*w**4 + 64*w + 37*w**g + 30*w**4 - 16*w**3.
4*(w - 2)**3*(w + 2)
Let x(o) be the first derivative of o**9/4536 + o**8/2520 - o**7/1260 - o**6/540 + 13*o**3/3 - 2. Let y(w) be the third derivative of x(w). Factor y(r).
2*r**2*(r - 1)*(r + 1)**2/3
Suppose -7*y + 5*y + 6 = -3*x, 4*y - 12 = 0. Let a(j) be the first derivative of -5 - 1/10*j**4 + x*j + 0*j**2 + 0*j**3. Solve a(w) = 0 for w.
0
Let l(j) be the third derivative of 3*j**7/140 - 13*j**6/80 + j**5/30 + 3*j**4/4 - 4*j**3/3 - j**2 + 11*j. Let l(z) = 0. What is z?
-1, 2/3, 4
Let k = -8 - -9. Let n(l) = 4*l**2 - 6 - k + 2 - 8*l**2 - 4*l**3 - 5*l. Let j(u) = -12*u**3 - 12*u**2 - 16*u - 16. Let h(t) = 5*j(t) - 16*n(t). Factor h(b).
4*b**2*(b + 1)
Factor -624/5*d - 1/5*d**3 - 49/5*d**2 - 576/5.
-(d + 1)*(d + 24)**2/5
Factor -5/3 - 2/3*d**3 + 14/3*d - 7/3*d**2.
-(d - 1)*(d + 5)*(2*d - 1)/3
Suppose -77*r + 98 = -28*r. Let i(f) be the second derivative of 1/10*f**5 - 2*f - 1/6*f**3 - 7/24*f**4 + 0 + 0*f**r. Suppose i(d) = 0. Calculate d.
-1/4, 0, 2
Suppose -829*a = -857*a. Factor -4/7*j + a*j**3 + 6/7*j**2 - 2/7*j**4 + 0.
-2*j*(j - 1)**2*(j + 2)/7
Let z(k) = 2*k**3 + 13*k**2 + 7*k + 11. Let o(t) = t**3 + 7*t**2 + 4*t + 6. Suppose 3*v = 4*v + 11. Let r(h) = v*o(h) + 6*z(h). Solve r(a) = 0.
-2, 0, 1
Let j(o) be the third derivative of -7/2*o**3 - 1/140*o**5 + 0*o + 0 - 8*o**2 - 1/4*o**4. Let j(p) = 0. Calculate p.
-7
Let m = 32 + -14. Suppose -5*x + m = t + 3*t, 14 = 3*t + 4*x. Factor -1/8 + 1/8*l**4 - 1/4*l**3 + 1/4*l + 0*l**t.
(l - 1)**3*(l + 1)/8
Let b(g) = 5*g - 6. Let o be b(2). Factor -6*h + 2*h**2 + 2*h**4 + h**3 - o*h**2 + 0*h + 5*h**3.
2*h*(h - 1)*(h + 1)*(h + 3)
Let f = -236 - -121. Let m = f - -117. Factor -6/5*x**m - 3/5*x**3 + 0*x + 0.
-3*x**2*(x + 2)/5
Let f(r) be the first derivative of -5/16*r**4 + r - 17 - 13/12*r**3 - 1/2*r**2. Determine z, given that f(z) = 0.
-2, -1, 2/5
Factor -26*d**3 - 50*d**2 + 16*d**4 - 128 + 7*d**3 - 32*d**3 - 10*d**3 + 224*d - d**5.
-(d - 8)**2*(d - 1)**2*(d + 2)
Let o be (-2)/(-11) - (1071/(-99) + -5). Suppose 2 = 2*m, 12 = 5*s + 18*m - o*m. Factor -4/9 - 2/9*d**s - 2/3*d.
-2*(d + 1)*(d + 2)/9
Determine s, given that 160/3 + 374/5*s**2 - 242/15*s**3 - 112*s = 0.
1, 20/11
Let k(l) be the second derivative of -16/7*l**2 + 3/35*l**5 + 1 - 4/7*l**3 - 15*l + 11/21*l**4. Factor k(d).
4*(d - 1)*(d + 4)*(3*d + 2)/7
Let x(l) be the first derivative of -l**5/180 - l**4/72 + l**3/9 + 6*l**2 - 12. Let v(q) be the second derivative of x(q). Factor v(p).
-(p - 1)*(p + 2)/3
Factor 124/11*j - 2/11*j**2 + 126/11.
-2*(j - 63)*(j + 1)/11
Let -3*p**5 + 46322 + 16485*p*