+ 8)
Let d = -38 - -48. Find z such that -8*z - 68*z**2 + d*z**5 + 45*z**5 - 180*z**3 + 53*z**5 - 108*z**4 = 0.
-1/3, 0, 2
Let a(c) be the first derivative of 3*c**5/10 - 15*c**4/8 - 3*c**3/2 + 39*c**2/4 + 15*c - 120. Solve a(v) = 0 for v.
-1, 2, 5
Let z(d) be the third derivative of d**5/20 - 9*d**4 + 648*d**3 - 2*d**2 - 29. Let z(s) = 0. What is s?
36
Let r(n) be the second derivative of -n**6/90 + n**5/5 - 3*n**4/2 - 23*n**3/6 + 13*n. Let x(t) be the second derivative of r(t). Solve x(s) = 0 for s.
3
Let b(k) be the third derivative of -k**6/120 - k**5/60 + k**4/12 + 76*k**2. Solve b(a) = 0.
-2, 0, 1
Let f(o) be the second derivative of 289*o**4/96 - 17*o**3/6 + o**2 - 112*o. Determine t, given that f(t) = 0.
4/17
Determine s, given that -4/5*s**2 - 12/5*s + 352/5 = 0.
-11, 8
Suppose -4*s = -2*x + 26 - 2, 8 = -3*s + 4*x. Let y = -4 - s. Factor -l**2 + 1 - l - l**5 + 2*l**3 + l**y + 0*l**4 - l**2.
-(l - 1)**3*(l + 1)**2
Let s(f) be the third derivative of f**5/60 - 13*f**4/24 + 51*f**2. Determine m, given that s(m) = 0.
0, 13
Suppose 0*r**2 + 0*r + 0 - r**4 + 1/2*r**5 - 4*r**3 = 0. What is r?
-2, 0, 4
Suppose -18 = -9*k + 18. Let l(a) be the first derivative of -1/12*a**4 - 1/15*a**5 + 0*a + 0*a**3 + 0*a**2 + k. Factor l(j).
-j**3*(j + 1)/3
Factor 2/3*i**2 - 2/3 + 0*i**4 + 1/3*i**5 + i - 4/3*i**3.
(i - 1)**3*(i + 1)*(i + 2)/3
Suppose t = 83 - 81. Let -6/7*y**3 + 6/7*y**5 + 0*y**t + 0*y + 0 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Let k(n) be the third derivative of -n**6/720 - n**5/45 - n**4/144 + 7*n**3/6 - 2*n**2 + 3*n. Solve k(z) = 0 for z.
-7, -3, 2
Let z(u) be the third derivative of 0 + 0*u + 0*u**3 + 1/5*u**5 + 0*u**4 + 1/280*u**7 + 1/20*u**6 + 11*u**2. Suppose z(i) = 0. Calculate i.
-4, 0
Let v(a) = a - 4. Let g be v(8). Solve g*w - w**4 + 2*w**2 - 4*w**3 + 0*w - 2*w**4 + w**4 = 0.
-2, -1, 0, 1
Let y(t) be the first derivative of t**8/560 - t**7/200 + t**6/300 + 14*t**3/3 - 17. Let r(a) be the third derivative of y(a). Find m, given that r(m) = 0.
0, 2/5, 1
Let b(o) be the first derivative of -o**5 + 255*o**4/4 - 1265*o**3 + 13225*o**2/2 + 684. Determine q, given that b(q) = 0.
0, 5, 23
Let o be 0*(-3)/(-9)*1. Suppose o*x - x = x. Factor x - 2*g**4 - 1/2*g**5 - 2*g**2 - 1/2*g - 3*g**3.
-g*(g + 1)**4/2
Let q(t) = -4*t**3 - 556*t**2 + 17482*t - 32448. Let n(z) = -z**3 - 188*z**2 + 5827*z - 10816. Let r(v) = -10*n(v) + 3*q(v). Factor r(y).
-2*(y - 52)**2*(y - 2)
Let c(p) be the second derivative of 3/2*p**2 + 0 + 2/3*p**3 + 8/15*p**5 - p**4 + 3*p. Let s(d) be the first derivative of c(d). Factor s(z).
4*(2*z - 1)*(4*z - 1)
Factor -25*s - 27*s - 71*s**3 + 32*s**2 + 67*s**3 + 24.
-4*(s - 6)*(s - 1)**2
Let i = 36 + -36. Let p(h) be the first derivative of 0*h**2 + 0*h**3 - 5 - 1/5*h**5 + i*h + 1/12*h**6 + 1/8*h**4. Factor p(y).
y**3*(y - 1)**2/2
Suppose a = 4*a. Suppose -8 = -18*y + 64. Solve 0 - 1/4*s**3 + 0*s - 1/4*s**y + a*s**2 = 0 for s.
-1, 0
Let d(x) = -12*x**2 - 1 + 29*x + 4*x**2 - 62*x + 33*x**3. Let v(m) = 8*m**3 - 2*m**2 - 8*m. Let i(j) = -2*d(j) + 9*v(j). Factor i(t).
2*(t - 1)*(t + 1)*(3*t - 1)
Let k = -163228/15 - -10882. Factor -16/15*m - 2/3*m**2 - 8/15 - k*m**3.
-2*(m + 1)*(m + 2)**2/15
Suppose -119*j + 24 = -107*j. Let b(r) be the third derivative of 49/150*r**6 + 16/15*r**4 + 0*r - 8*r**j + 77/75*r**5 + 8/15*r**3 + 0. Factor b(m).
4*(m + 1)*(7*m + 2)**2/5
Let m(y) = 4*y**2 + 3*y + 2. Let n be -1*(-1 - (2 + -4)). Let g be m(n). Factor -14*v**g + 45*v**2 - 35*v - 11*v**3 + v**4 + 10 + 4*v**4.
5*(v - 2)*(v - 1)**3
Suppose 11 = 9*t + 4 - 11. Factor -1/7*d**t + 3/7*d + 0.
-d*(d - 3)/7
Let y = -3150 - -3153. Determine o, given that 3/7*o**4 + 0 + 15/7*o**2 - 12/7*o**y - 6/7*o = 0.
0, 1, 2
Factor -3*x**2 + 7*x**2 - 2*x**4 + 877*x**5 - 878*x**5 - x + 3*x**3 + 0*x**2 - 3*x.
-x*(x - 1)**2*(x + 2)**2
Let w(o) be the second derivative of 13*o + 2/15*o**3 + 0 + 1/60*o**4 + 2/5*o**2. Factor w(p).
(p + 2)**2/5
Let t(o) be the second derivative of 1/300*o**5 + 5*o**2 + 0*o**3 + 7*o + 0 + 1/120*o**4. Let x(k) be the first derivative of t(k). Factor x(z).
z*(z + 1)/5
Let v(f) be the third derivative of 1/9*f**3 + 0 + 0*f + 2*f**2 + 1/90*f**5 - 1/18*f**4. Factor v(s).
2*(s - 1)**2/3
Let l(p) be the second derivative of 3*p**5/130 - 7*p**4/39 - 7*p**3/39 + 10*p**2/13 - 18*p - 1. Find u such that l(u) = 0.
-1, 2/3, 5
Let c(j) be the first derivative of -4*j**5/5 - 7*j**4 - 8*j**3 + 64*j**2 + 128*j + 32. Factor c(z).
-4*(z - 2)*(z + 1)*(z + 4)**2
Let o(h) = 2*h**3 - 5*h**2 - h + 27. Let u(d) = -d**3 + 2*d**2 - 12. Let n(x) = 4*o(x) + 7*u(x). Let n(y) = 0. What is y?
-2, 2, 6
Let a(f) = -f**3 + 64*f**2 + 6*f - 381. Let y be a(64). Factor -4/3*q**2 + 1/3*q**y + 5/3*q - 2/3.
(q - 2)*(q - 1)**2/3
Let h(p) be the third derivative of -p**8/10080 - p**7/315 - 2*p**6/45 + 13*p**5/60 + 7*p**2. Let u(z) be the third derivative of h(z). Factor u(s).
-2*(s + 4)**2
Let r(p) be the second derivative of 0 - 1/8*p**4 + 3/20*p**5 + 0*p**2 + 4*p - 1/20*p**6 + 0*p**3. Factor r(c).
-3*c**2*(c - 1)**2/2
Let b(r) be the second derivative of -r**5/60 + r**4/8 - r**3/3 - 2*r**2 - 12*r. Let w(d) be the first derivative of b(d). Factor w(s).
-(s - 2)*(s - 1)
Let z(k) = -3*k + 38. Let v be z(12). Factor -20 + 20*y**3 + 2*y**2 + 12*y**v - 20*y + 5*y**4 - 3*y**2 + 4*y**2.
5*(y - 1)*(y + 1)*(y + 2)**2
Let x(f) = f**3 + f**2 - 5*f - 18. Let j be x(3). Factor -322102/3 - 146410/3*z - 110/3*z**4 - 2/3*z**5 - 26620/3*z**2 - 2420/3*z**j.
-2*(z + 11)**5/3
Let w(n) be the second derivative of 0 + 1/18*n**3 - 1/36*n**4 + 1/6*n**2 - 1/60*n**5 + 3*n. Suppose w(z) = 0. Calculate z.
-1, 1
Factor -19*y**3 - y + 0*y**4 - 5*y - 14*y**2 - 2*y**4 + 9*y**3.
-2*y*(y + 1)**2*(y + 3)
Factor 0 + 363/4*i**4 + 9*i + 60*i**2 + 517/4*i**3.
i*(3*i + 1)*(11*i + 6)**2/4
Let h(f) = 2*f**2 - 6. Let t(k) = k - 1. Suppose -3*o - o + 3*c - 1 = 0, -c = 2*o - 7. Let l = o + -4. Let y(z) = l*h(z) + 4*t(z). Factor y(m).
-4*(m - 2)*(m + 1)
Let o(y) be the first derivative of -y**8/3780 + y**6/405 - y**4/54 + 6*y**3 + 6. Let d(v) be the third derivative of o(v). Factor d(i).
-4*(i - 1)**2*(i + 1)**2/9
Suppose -67*a + 69*a - 8 = 0. Let k(m) be the first derivative of 2/65*m**5 - 2/13*m**3 + 1/26*m**a + 4/13*m - 1/13*m**2 + 4. Determine i so that k(i) = 0.
-2, -1, 1
Let w(z) be the second derivative of -z**7/315 + z**5/25 + 4*z**4/45 + z**3/15 - 3*z + 6. Factor w(s).
-2*s*(s - 3)*(s + 1)**3/15
Let r = -25 + 28. Let g be 3/(-18)*r*0. Determine o, given that -1/3*o**4 + g + 0*o + 0*o**2 - o**3 = 0.
-3, 0
Let a(n) be the second derivative of n**10/6048 + n**9/1512 + n**8/1344 + 11*n**4/6 - 19*n. Let c(s) be the third derivative of a(s). Factor c(z).
5*z**3*(z + 1)**2
Let v(t) be the third derivative of t**7/140 + 9*t**6/160 - 9*t**5/40 + t**4/32 + 3*t**3/4 + 8*t**2 + 1. Solve v(c) = 0 for c.
-6, -1/2, 1
Suppose a - 28 = -4*k, k - a = -2*k + 14. Let t(w) = -w**3 - 5*w**2 + 3*w - 4. Let s be t(-6). Factor k*f + 0*f + 15*f**2 - s*f**2 + 9.
(f + 3)**2
Suppose 50*a - 35 = 65. Suppose 0 - 1/2*t**a + t = 0. Calculate t.
0, 2
Let y(m) = 12*m**2 - 8*m + 2. Let i(a) = 24*a**2 - 16*a + 5. Let n(d) = 2*d + 32. Let w be n(-13). Let b(f) = w*i(f) - 13*y(f). Suppose b(k) = 0. Calculate k.
-1/3, 1
Let n = 2/15869 + 285632/79345. Suppose -22/5*c**2 + n + 4/5*c**3 + 24/5*c = 0. Calculate c.
-1/2, 3
Factor -3/5*b**4 - 3/5 - 18/5*b**2 - 12/5*b**3 - 12/5*b.
-3*(b + 1)**4/5
Factor -4/3*d**2 - 8*d + 28/3.
-4*(d - 1)*(d + 7)/3
Let b(f) be the first derivative of -f**6/15 + f**5/18 + f**4/18 - f**2 + 9. Let h(u) be the second derivative of b(u). Solve h(z) = 0 for z.
-1/4, 0, 2/3
Let s(k) be the first derivative of -2*k**5/5 - 85*k**4/4 - 124*k**3/3 - 41*k**2/2 - 106. Factor s(m).
-m*(m + 1)*(m + 41)*(2*m + 1)
Let s be -1*(-11)/(242/11). Factor -p**2 - s*p + 0.
-p*(2*p + 1)/2
Let v(x) be the third derivative of -x**5/160 + x**4/32 - 271*x**2. Find o, given that v(o) = 0.
0, 2
Let q(g) be the first derivative of 0*g - 4/5*g**2 - 4/5*g**3 - 3/10*g**4 - 1/25*g**5 + 3. Determine v, given that q(v) = 0.
-2, 0
Factor -58/15*g - 2/15*g**3 - 28/15 - 32/15*g**2.
-2*(g + 1)**2*(g + 14)/15
Factor 0 + 2/11*n**3 + 2/11*n**4 - 2/11*n - 2/11*n**2.
2*n*(n - 1)*(n + 1)**2/11
Let o = -628/7 - -5654/63. Let v(k) be the second derivative of 0*k**4 + 7*k + 0 + 1