7*c**4/64 - 7*c**3/8 + 74*c**2. Let n(s) = 0. Calculate s.
-1, 2/7, 7
Let y(i) be the third derivative of -5*i**8/1344 - i**7/42 - i**6/36 + i**4/6 + 10*i**2. Let h(r) be the second derivative of y(r). Find v, given that h(v) = 0.
-2, -2/5, 0
Let v(n) be the first derivative of 2 + 8*n**3 - 6/5*n**5 + 1/2*n**6 - 3/2*n**4 - 21/2*n**2 + 6*n. Let v(x) = 0. Calculate x.
-2, 1
Let -60*b - 42*b**2 + 16*b**3 + 6*b**3 - 24 - 31*b**3 = 0. What is b?
-2, -2/3
Let g(w) be the third derivative of w**6/600 + 3*w**5/100 + w**4/5 + 2*w**3/3 - 353*w**2. Factor g(y).
(y + 2)**2*(y + 5)/5
Let u(k) = -9*k**3 + 216*k**2 - 3888*k + 23333. Let r(a) = a**3 - 1. Let q(d) = -5*r(d) - u(d). Factor q(z).
4*(z - 18)**3
Let a(y) be the third derivative of -y**9/181440 + y**8/60480 + y**7/7560 + 7*y**5/60 - 14*y**2. Let c(o) be the third derivative of a(o). Factor c(m).
-m*(m - 2)*(m + 1)/3
Let a(i) be the second derivative of i**4/132 - 29*i**3/66 - 323*i. Suppose a(f) = 0. What is f?
0, 29
Let d(r) be the first derivative of -15 + r**4 + 0*r**2 + 0*r - 8/3*r**3. Let d(g) = 0. What is g?
0, 2
Let t = -68185/7 - -9741. Solve -4/7*g + t*g**2 + 2/7*g**3 + 0 = 0.
-2, 0, 1
Suppose -22*p**2 + 2*p**3 + 378*p - 160*p - 170*p = 0. Calculate p.
0, 3, 8
Let g(s) be the second derivative of 12*s**5/5 - 29*s**4 + 1025*s**3/8 - 1875*s**2/8 + 731*s. Factor g(c).
3*(c - 1)*(8*c - 25)**2/4
Let p(o) = -2*o**2 + 43*o - 17. Let h be p(21). Find m, given that -2*m**5 + 0*m**3 + 2*m**3 - 4*m**2 + 62*m**4 - 58*m**h = 0.
-1, 0, 1, 2
Let r(h) be the second derivative of 82*h**6/45 + 124*h**5/15 + h**4/3 - 380*h. Factor r(w).
4*w**2*(w + 3)*(41*w + 1)/3
Suppose 0 = 60*s - 112*s + 104. Factor 1/2*c**4 + 27/2*c**s + 9/2*c**3 + 27/2*c + 0.
c*(c + 3)**3/2
Let g(v) be the first derivative of 2*v**7/105 - v**6/6 + v**5/5 + 5*v**4/6 - 8*v**3/3 - 21*v**2/2 + 1. Let q(t) be the second derivative of g(t). Factor q(i).
4*(i - 4)*(i - 1)**2*(i + 1)
Let d(k) be the second derivative of -k**5 + k**4/3 - 16*k**3/3 + 10*k**2 + k. Let r(o) = 7*o**3 - o**2 + 11*o - 7. Let w(m) = 5*d(m) + 14*r(m). Factor w(y).
-2*(y - 1)**3
Let a(i) be the third derivative of i**8/1344 + i**7/280 + i**6/480 - i**5/80 - i**4/48 - 8*i**2 - 3*i. Factor a(u).
u*(u - 1)*(u + 1)**2*(u + 2)/4
Let w be 7/(-1) + (-36 - -46). Let h(b) be the second derivative of 0*b**4 + 1/105*b**7 + 0*b**2 - 4/75*b**6 + 0*b**w + 6*b + 2/25*b**5 + 0. Factor h(y).
2*y**3*(y - 2)**2/5
Let g(d) be the second derivative of d**7/630 + d**6/45 + d**5/10 + 13*d**4/12 + 5*d. Let s(c) be the third derivative of g(c). Factor s(m).
4*(m + 1)*(m + 3)
Let g(p) be the second derivative of -1/27*p**4 - 2/3*p**3 + 1 - 12*p + 20/9*p**2. Determine x, given that g(x) = 0.
-10, 1
Let u(k) be the third derivative of 1/90*k**4 + 1/45*k**3 + 3*k**2 + 0*k + 1/450*k**5 + 0. Find s such that u(s) = 0.
-1
Let s = 18 + -16. Factor s*x - 11*x**5 - 3*x**5 + 16*x**5 - 4*x**3.
2*x*(x - 1)**2*(x + 1)**2
Let h(g) be the first derivative of -1/8*g**2 - 5 - 1/12*g**3 + 0*g. Determine s so that h(s) = 0.
-1, 0
Let a(q) be the first derivative of 0*q + 1/30*q**5 + 2*q**2 + 1/12*q**4 + 1/180*q**6 - 11 + 1/9*q**3. Let v(n) be the second derivative of a(n). Factor v(w).
2*(w + 1)**3/3
Let y(d) be the first derivative of 35*d**3/3 + 305*d**2/2 - 90*d + 146. Factor y(v).
5*(v + 9)*(7*v - 2)
Let q(v) be the first derivative of v**7/672 - v**6/288 + 20*v**3/3 - 12. Let a(o) be the third derivative of q(o). Factor a(i).
5*i**2*(i - 1)/4
Let z(q) = q**2 + q. Let t be z(-7). Determine j, given that -6 - 30*j**2 - 22*j**3 + 33*j - 38*j**3 + t*j**4 - 6*j**4 + 27*j**5 = 0.
-2, -1, 1/3, 1
Let o(i) = -i**3 + 2*i**2 + 2*i - 2. Let p(f) = -6*f**3 + 9*f**2 + 9*f - 11. Let y(k) = -8*k - 23. Let u be y(-7). Let j(z) = u*o(z) - 6*p(z). Factor j(t).
3*t*(t + 2)**2
Let d(r) be the first derivative of 28/5*r**2 - 12/5*r - 5 + 8/5*r**4 - 76/15*r**3. Determine s so that d(s) = 0.
3/8, 1
Let l(g) be the third derivative of 0*g - 1/160*g**6 + 1/560*g**7 + 0 + 1/16*g**3 - 1/80*g**5 + 1/64*g**4 + 22*g**2 + 1/896*g**8. Factor l(y).
3*(y - 1)**2*(y + 1)**3/8
Suppose 2*p = 2 + 8. Let r(v) be the first derivative of 0*v**3 + 4/5*v**p + 1/2*v**4 + 0*v**2 + 1/3*v**6 - 2 + 0*v. Let r(j) = 0. Calculate j.
-1, 0
Let o = 10071/23 - 438. Let q = 101/69 + o. Determine k so that 0*k + 0 + 2/3*k**2 + q*k**3 + 1/2*k**4 = 0.
-2, -2/3, 0
Let i = 4360 + -4358. Factor -3/8 + 3/8*b**i - 5/8*b + 5/8*b**3.
(b - 1)*(b + 1)*(5*b + 3)/8
Let m(i) = 2*i + 2*i**2 + 1 - 2*i + 7*i. Let h(q) be the third derivative of -q**5/60 - q**4/8 - q**2 + 23. Let g(u) = -5*h(u) - 2*m(u). Factor g(w).
(w - 1)*(w + 2)
Let r(n) be the first derivative of 8*n**3 - 14*n**2 - 20*n + 194. Factor r(c).
4*(2*c + 1)*(3*c - 5)
Let b be (-2158)/(-91) + 4/14. Let -2*h - 9*h**3 - 5*h**2 + 5*h**4 + b*h**3 - 5*h**5 - 8*h = 0. Calculate h.
-1, 0, 1, 2
Find d, given that -2 + 149*d**3 + 71*d**2 - 4*d - 145*d**3 + 2*d**4 - 71*d**2 = 0.
-1, 1
Let o(d) = -d**3 - 14*d**2 - 15*d - 21. Let h be o(-13). Factor 7 + 5*c - 2*c**2 + 7*c**2 - 2 + h*c.
5*(c + 1)**2
Let x(a) = 2*a**4 + 12*a**3 - 36*a**2 - 6*a - 6. Let t(p) = -3*p**2 + p + 1. Let y(m) = 6*t(m) + x(m). Factor y(v).
2*v**2*(v - 3)*(v + 9)
Let m(s) be the first derivative of 1/6*s**3 + 0*s + 11 - 1/24*s**4 + 0*s**2. Solve m(t) = 0.
0, 3
Let n(p) = 7*p**4 - 5*p**3 + 7*p**2 - 11*p + 2. Let v(l) = -l**4 + l**3 - l**2 + l. Let i(s) = -3*n(s) - 24*v(s). Determine d, given that i(d) = 0.
-1, 1, 2
Let s(c) = -c**4 - c**3 - 2*c**2 + c. Let h(k) = -81*k**3 - 228*k**2 - 231*k - 75. Let f(l) = h(l) + 3*s(l). Suppose f(q) = 0. Calculate q.
-25, -1
Let n(f) be the first derivative of -2*f**5/55 + 8*f**4/11 - 10*f**3/11 + 43. What is k in n(k) = 0?
0, 1, 15
Let b be (-55)/(-154)*3/10. Let l(i) be the first derivative of -3 + 0*i + b*i**4 - 9/35*i**5 + 0*i**3 + 1/7*i**6 + 0*i**2. Factor l(x).
3*x**3*(x - 1)*(2*x - 1)/7
Let m be (267/135 + -2)*20/(-8). Let t(y) be the third derivative of 0*y + 1/360*y**6 + 2*y**2 + m*y**4 + 0 + 0*y**3 + 1/45*y**5. Solve t(l) = 0 for l.
-2, 0
Let w = 123/565 - 2/113. Suppose 0 = -b - f - 2, b - f - 10 = -2. What is v in 0 - 1/5*v**2 + 0*v - w*v**b = 0?
-1, 0
Let v(b) be the second derivative of -7*b**5/50 - 3*b**4/5 - b**3/3 + 6*b**2/5 + 5*b - 1. Suppose v(h) = 0. What is h?
-2, -1, 3/7
Suppose 4*q - 9*z + 4*z = 11, -4*z + 4 = 0. Suppose w - 2 = -q*d + 17, -13 = w - 4*d. Let -t + 0*t**2 + 0 + 1/4*t**w = 0. What is t?
-2, 0, 2
Let v(c) be the third derivative of -c**6/100 - 8*c**5/225 - c**4/36 + 2*c**3/45 - 47*c**2. Factor v(i).
-2*(i + 1)**2*(9*i - 2)/15
Let j(w) be the first derivative of -3*w**4/2 + 872*w**3/15 - 452*w**2/5 + 224*w/5 - 7. Find r, given that j(r) = 0.
2/5, 2/3, 28
Suppose -17*k + 2*t = -12*k - 8, 0 = -k - t - 4. Let m(q) be the second derivative of 1/60*q**4 + 1/15*q**3 + k - 3*q + 1/10*q**2. Suppose m(w) = 0. What is w?
-1
Let k(h) be the second derivative of 8*h**6/45 - 2*h**5 - 23*h**4/4 - 40*h**3/9 - 3*h**2/2 - 317*h. Factor k(q).
(q - 9)*(q + 1)*(4*q + 1)**2/3
Let l(t) = t**2 + t. Let v(c) = -9*c**2 + 15*c - 36. Let f(j) = -6*l(j) - v(j). Factor f(x).
3*(x - 4)*(x - 3)
Let k(p) be the first derivative of -p**6/3 + 12*p**5/5 - 64*p**3/3 + 224. Let k(y) = 0. Calculate y.
-2, 0, 4
Let m(p) be the third derivative of -3*p**5/100 + 11*p**4/40 - 3*p**3/5 + 78*p**2. Suppose m(v) = 0. Calculate v.
2/3, 3
Let f(w) = 16*w**3 + 1469*w**2 + 60502*w - 28. Let b(r) = 11*r**3 + 979*r**2 + 40334*r - 20. Let l(y) = -7*b(y) + 5*f(y). Determine i so that l(i) = 0.
-82, 0
Let v be ((-10)/15)/(4*(-3)/(-108)). Let x be 536/44 + v + -6. Factor 2/11*o**2 - x*o - 4/11.
2*(o - 2)*(o + 1)/11
Suppose 0 = -2*j - 5*o + 5, 2*j + 4*o - 3 = 1. Let v(f) be the second derivative of -1/10*f**6 - 4*f + 3/20*f**5 + 0*f**3 + 0*f**4 + j + 0*f**2. Factor v(m).
-3*m**3*(m - 1)
Let j = 136 + -6527/48. Let k(q) be the second derivative of 6*q + 1/96*q**4 + 0 + 0*q**2 - 1/160*q**5 - 1/240*q**6 + j*q**3. Let k(c) = 0. Calculate c.
-1, 0, 1
Let q(g) be the second derivative of 32*g + 0*g**3 + 0*g**2 + 1/48*g**4 + 0. Factor q(d).
d**2/4
Suppose 0 = -4*g - 3*m + 15 - 24, -3*m - 9 = -2*g. Solve -i**3 + 1/4*i**4 + 3/4*i**2 + 0*i + g = 0 for i.
0, 1, 3
Suppose -4*k - 5*z + 8*z + 18 = 0, -z + 7 = 3*k. Suppose 2*g + 4*g**2 - 4*g**k + g**3 + 5*