he third derivative of -b**6/720 + 7*b**3/3 + 20*b**2. Let q(l) be the first derivative of f(l). Suppose q(o) = 0. Calculate o.
0
Let 11/2*h - 1/8*h**2 - 121/2 = 0. What is h?
22
Let h(c) be the third derivative of c**6/180 + c**5/18 + c**4/9 + 4*c**2 + 14. Find r, given that h(r) = 0.
-4, -1, 0
Suppose 35*l - 98 = 42. Suppose 9 = 3*p - 0*p. Suppose -2/3*a + 2/3*a**p - 1/3*a**l + 4/3*a**2 - 1 = 0. Calculate a.
-1, 1, 3
Let r = 363 + -18149/50. Let z(v) be the third derivative of 0*v + r*v**5 + 0*v**3 + 0 + 1/100*v**6 - 7*v**2 + 1/525*v**7 + 1/60*v**4. Let z(m) = 0. What is m?
-1, 0
Let o(r) = 70*r**4 - 34*r**3 - 294*r**2 + 52*r. Let q(t) = -14*t**4 + 7*t**3 + 59*t**2 - 10*t. Let m(h) = 3*o(h) + 14*q(h). Solve m(w) = 0 for w.
-2, 0, 2/7, 2
Suppose -23*z**3 - 51*z**2 - 29*z + 26*z**3 - 37*z + 66*z = 0. Calculate z.
0, 17
Let w(b) be the third derivative of -7*b**6/300 + b**5/2 - 26*b**4/15 - 12*b**3/5 + 428*b**2. Factor w(u).
-2*(u - 9)*(u - 2)*(7*u + 2)/5
Let l(t) be the first derivative of -t**3/3 + 6*t**2 - 36*t - 18. Factor l(j).
-(j - 6)**2
Let b = 62 - 50. Let d be 7/2 + (-11)/(66/b). Factor 3/2*h - 3/4*h**2 + 0 - d*h**3 + 3/4*h**4.
3*h*(h - 2)*(h - 1)*(h + 1)/4
Let q(c) = -5*c**5 + 7*c**4 - 7*c**3 - 7*c**2 + 6. Let j(y) = y**5 - y**4 + y**3 + y**2 - 1. Let w(x) = 6*j(x) + q(x). Factor w(o).
o**2*(o - 1)*(o + 1)**2
Let u be ((-13)/65)/(6/(-135)). Let d(j) be the first derivative of -13/4*j**3 - 9/8*j**4 - u*j**2 - 3*j - 3/20*j**5 + 5. Solve d(t) = 0.
-2, -1
Suppose -t - t = -180. Factor 17*m + 2*m**4 + 120*m**2 - 10 + t + 3*m**4 - 40*m**3 - 177*m.
5*(m - 2)**4
Let n(j) be the first derivative of -j**3/6 + 5*j**2/2 + 12*j - 111. Determine s, given that n(s) = 0.
-2, 12
Let y be (-2 + 3/1)/((-2)/(-8)). What is k in -46/9*k**3 + 14/9*k**y + 4/3*k**2 + 0*k + 0 = 0?
0, 2/7, 3
Let -71*i**3 + 11*i**3 + i**4 - 116*i - 48 - 32*i - 156*i**2 - 5*i**4 = 0. Calculate i.
-12, -1
Factor 3*q**2 - 142*q - 294*q - 84*q + 194*q + 72 + 6*q**2.
(q - 36)*(9*q - 2)
Let j(x) = x**2 + 158*x + 1894. Let g be j(-13). Find y, given that 75 + g*y**2 - 45*y - 3/5*y**3 = 0.
5
Let o(n) = 1. Let v(u) = -u**3 - u**2 + u. Let g(b) = 2*b**2 + 4*b - 6. Let l(q) = -g(q) - 2*v(q). Let w(a) = -l(a) + 10*o(a). Factor w(i).
-2*(i - 2)*(i + 1)**2
Let f(z) = -z**4 - z**2 + 1. Let y(b) = -4*b**4 - 8*b**3 + 6*b**2 - 8*b + 8. Let n(u) = -12*f(u) + 2*y(u). Solve n(a) = 0.
1
Suppose -n + 2*n + 3*h = -30, -3*n - 3*h = 60. Let l = n + 16. Find s such that -41*s**2 - l - 1 + 43*s**2 = 0.
-1, 1
Suppose -11 = -4*l - 4*j - 7, 3*l = -j + 5. Factor l*v**3 - 2*v - 1004*v**2 + 2*v + 1002*v**2.
2*v**2*(v - 1)
Factor 0*j**4 + 10*j**3 + 2*j**4 - 38*j**3 + 13*j**3 - 6*j**2 + 19*j**3.
2*j**2*(j - 1)*(j + 3)
Let p(h) be the second derivative of h**2 + 20*h - 7/6*h**3 + 1/4*h**4 + 0. Let p(k) = 0. What is k?
1/3, 2
Let t(f) be the third derivative of 1/30*f**5 + 0*f - 1/4*f**4 + f**3 - 1/540*f**6 + 0 - 7*f**2. Find b such that t(b) = 0.
3
Let z(u) be the first derivative of -u**6/240 + u**5/80 - u**4/96 + 3*u + 4. Let d(x) be the first derivative of z(x). Factor d(b).
-b**2*(b - 1)**2/8
Let d be (99/18)/(252/216). Factor -3/7*y**2 - d*y + 0.
-3*y*(y + 11)/7
Let l be ((-378)/390 + 1)*(26 - 21). What is u in 8/13*u**2 + 2/13*u - 4/13*u**3 - 4/13 + l*u**5 - 4/13*u**4 = 0?
-1, 1, 2
Solve 0 - 82/3*p**3 + 2/3*p**4 + 0*p**2 + 0*p = 0 for p.
0, 41
Let t be -6*22/(-33)*(-3)/(-15). What is y in 0*y + t - 1/5*y**2 = 0?
-2, 2
Factor 3844/3*j + 4/9*j**3 - 119164/9 - 124/3*j**2.
4*(j - 31)**3/9
Suppose 6*t - 18 = -6. Factor 0*k - t*k - 2*k**2 - 7*k + k.
-2*k*(k + 4)
Let m(o) = -o + 5. Let r be m(8). Let y be r + 7 - 4 - -9. Factor -z**2 - y*z**2 - 23*z**3 - 5*z + 18*z**3.
-5*z*(z + 1)**2
Let u(s) be the third derivative of s**9/60480 - s**8/6720 - s**7/840 + s**6/90 - 3*s**5/20 + 25*s**2. Let h(l) be the third derivative of u(l). Factor h(f).
(f - 4)*(f - 1)*(f + 2)
Factor 0*i**2 + 0 - 3/4*i**3 + 3/4*i.
-3*i*(i - 1)*(i + 1)/4
Let h(v) be the second derivative of 11*v + 5/2*v**2 - 5/12*v**4 + 0 + 0*v**3. Factor h(i).
-5*(i - 1)*(i + 1)
Suppose 60 = -n + 21*n. Let s(r) be the third derivative of -5*r**2 + 0*r - 1/360*r**5 + 1/72*r**4 + 0*r**n + 0. Let s(u) = 0. Calculate u.
0, 2
Let g = -600 + 4803/8. Let x(h) be the first derivative of 3/4*h**2 + 1/5*h**5 - 7 - 1/2*h - g*h**4 - 1/6*h**3. Solve x(t) = 0 for t.
-1, 1/2, 1
Let p(o) = -10*o**2 + 36*o + 162. Let q(h) = -2*h**2. Let z(g) = -p(g) + 6*q(g). Let z(r) = 0. Calculate r.
-9
Let f be ((-18)/(-22))/((-340)/(-1870)). Determine s so that -25/2*s**2 + 15*s - f = 0.
3/5
Factor 2/9*f**5 - 2/3*f**3 + 4/9*f**2 + 0 + 0*f**4 + 0*f.
2*f**2*(f - 1)**2*(f + 2)/9
What is u in 0 - 3/7*u**3 + 0*u + 3/7*u**2 - 3/7*u**4 + 3/7*u**5 = 0?
-1, 0, 1
Let x(v) be the third derivative of v**7/350 + v**6/100 - v**4/20 - v**3/10 + 29*v**2. Suppose x(k) = 0. What is k?
-1, 1
Let j(o) be the first derivative of 7/4*o**4 + 0*o**3 + 26 + 0*o + 1/5*o**5 + 0*o**2. Factor j(p).
p**3*(p + 7)
Let k(s) be the first derivative of s**6/90 - s**5/15 - s**4/2 + s**3/3 + 6. Let t(r) be the third derivative of k(r). Let t(c) = 0. Calculate c.
-1, 3
Determine d so that 228*d**3 - 212*d**2 + 1559*d**3 + 1129*d**3 - 220*d**2 + 16*d = 0.
0, 2/27
Let b(o) be the third derivative of o**8/20160 - o**6/540 - 17*o**4/24 - 7*o**2. Let x(t) be the second derivative of b(t). Factor x(p).
p*(p - 2)*(p + 2)/3
Let q(h) = 6*h**5 - 29*h**4 + 80*h**3 + 95*h**2 + 5*h. Let g(c) = -c**5 + 2*c**4 + c**2 - c. Let f(p) = 5*g(p) + q(p). Factor f(m).
m**2*(m - 10)**2*(m + 1)
Let w = -24 - -29. Determine p, given that 12*p - 4*p**4 + 4 - p**5 - 2*p**5 + p**3 + 2*p**w + p**4 + 11*p**2 = 0.
-2, -1, 2
Let d(m) = 2*m**2 + 6*m. Suppose 3*u - 8*u - 40 = 0. Let q(z) = z**2 + 4*z. Let r(x) = u*q(x) + 5*d(x). Factor r(w).
2*w*(w - 1)
Factor 35*z - 18 + 17 + 0*z - 5*z**2 - 15*z**3 + 26.
-5*(z + 1)**2*(3*z - 5)
Let j(z) be the second derivative of -z**7/12 - 37*z**6/60 - 59*z**5/40 - 35*z**4/24 - z**3/2 - 2*z + 32. Find h such that j(h) = 0.
-3, -1, -2/7, 0
Let g(u) be the third derivative of u**6/24 + u**5/4 - 15*u**4/8 - 45*u**3/2 + 137*u**2. Factor g(f).
5*(f - 3)*(f + 3)**2
Let j(m) = -77*m**4 + 6*m**3 + 44*m**2 + 16*m - 22. Let p(g) = 15*g**4 - g**3 - 9*g**2 - 3*g + 4. Let o(h) = -6*j(h) - 33*p(h). What is w in o(w) = 0?
-1, -1/11, 0, 1
Suppose -3*r - 16 = d, -2*r - 8 = -36*d + 38*d. Let -d*u**3 + 0 - 4/5*u - 14/5*u**2 = 0. What is u?
-1, -2/5, 0
Let b(u) be the third derivative of u**10/4320 + u**9/1680 - u**8/560 - u**7/630 + u**4/4 + 19*u**2. Let n(w) be the second derivative of b(w). Factor n(f).
f**2*(f - 1)*(f + 2)*(7*f + 2)
Let h(r) be the third derivative of -1/12*r**5 - 11/24*r**4 - r**2 + 0 + 2/3*r**3 + 0*r. Let z(c) = c. Let g(o) = -h(o) - 3*z(o). Factor g(l).
(l + 2)*(5*l - 2)
Let c = 4616 - 60006/13. Let 0*u - c*u**4 - 2/13*u**3 + 2/13*u**2 + 2/13*u**5 + 0 = 0. Calculate u.
-1, 0, 1
Let f(j) be the second derivative of -2*j**6/15 + 12*j**5/5 - 35*j**4/3 + 16*j**3 + 48*j. Solve f(p) = 0 for p.
0, 1, 3, 8
Suppose 15 = 5*w - 15. Find g, given that 17 - 14 + 7*g**2 - 15*g - g**3 + w = 0.
1, 3
Let c be 2*(-13)/(-12) - (100 + -98). Let p(g) be the first derivative of 1 + 1/4*g**2 - 1/8*g**4 - 1/2*g + c*g**3. Determine h so that p(h) = 0.
-1, 1
Suppose -2*h - 444 = -448. Factor 1 - b**h + 15/4*b.
-(b - 4)*(4*b + 1)/4
Let b(u) be the first derivative of -u**3/12 - 9*u**2/8 - 177. What is y in b(y) = 0?
-9, 0
Let r = -65 - -94. Suppose 0 = -5*b - 14 + r. Solve 3/2 - 15/4*q - 3/4*q**3 + b*q**2 = 0 for q.
1, 2
Solve -143*y - 20449/2 - 1/2*y**2 = 0 for y.
-143
Let u be (-1 + -2*(-2 + 1))*-1. Let h be 0 + u + 0 + 1. Factor -2/9*z - 4/9*z**4 + 4/9*z**2 + 2/9*z**5 + 0*z**3 + h.
2*z*(z - 1)**3*(z + 1)/9
Let h(f) be the first derivative of 0*f**2 + 1/3*f**3 - 4*f + 2 - 1/6*f**4. Let x(t) be the first derivative of h(t). Determine n, given that x(n) = 0.
0, 1
Factor -27*v - 43 + 3*v**3 - 6*v**2 - 5 + 6 + 8*v**2 + 16*v**2.
3*(v - 2)*(v + 1)*(v + 7)
Suppose -12*u**2 + 13*u**3 - 26*u - 10*u**3 + 35*u = 0. Calculate u.
0, 1, 3
Let c = 5232 - 5229. What is j in 144/7*j**2 + 28*j**5 + 16/7*j + 436/7*j**c + 0 + 72*j**4 = 0?
-1, -2/7, 0
Let n(r) = -82*r - 5084. Let x be n(-62). Factor -12/5*o + 0*o**2 - 3/5*o**4 + 9/5*o**3 + x.
-3*o*(o - 2)**2*(o +