erivative of -3 + 0*h**4 + 0*h + 0*h**3 + 2/65*h**5 + j*h**6 + 0*h**2. Factor p(o).
2*o**4*(o + 1)/13
Let n(a) be the third derivative of -6*a**2 + 0 - 1/108*a**4 + 1/270*a**6 - 4/315*a**7 + 0*a + 0*a**3 - 1/168*a**8 + 2/135*a**5. Factor n(k).
-2*k*(k + 1)**2*(3*k - 1)**2/9
Let n(t) be the third derivative of -t**6/10 + 38*t**5/15 - 23*t**4/6 - 8*t**3 + t**2 + 1. Let n(d) = 0. What is d?
-1/3, 1, 12
Let z be ((-6)/60)/((-2)/(-16))*-5. Factor -522*q + 20*q**2 - z*q**3 + 1 + 11 + 494*q + 0*q**3.
-4*(q - 3)*(q - 1)**2
Let k(r) be the second derivative of -r**7/1680 - r**6/480 - r**4/12 + 7*r. Let w(b) be the third derivative of k(b). Factor w(t).
-3*t*(t + 1)/2
Let 5/4*j**2 - 5/2*j + 0 = 0. Calculate j.
0, 2
Let j = 4574 + -4572. Suppose 6/5*c**5 + 24/25*c**j - 82/5*c + 812/25*c**3 + 308/25*c**4 + 4 = 0. What is c?
-5, -1, 1/3, 2/5
Let q = -3587/12 + 299. Let u(r) be the first derivative of -1/2*r**3 - 1/2*r**2 + 3/10*r**5 + q*r**6 + 0*r + 3 + 1/8*r**4. Determine s, given that u(s) = 0.
-2, -1, 0, 1
Let o(g) = 23*g**3 - 97*g**2 - 247*g. Let d(t) = -11*t**3 + 49*t**2 + 124*t. Let n(z) = 13*d(z) + 6*o(z). Factor n(p).
-5*p*(p - 13)*(p + 2)
Let j(y) be the third derivative of -1/90*y**6 + 0*y**4 + 0 + 0*y + 0*y**3 + 1/180*y**5 + 1/126*y**7 - 1/504*y**8 - 14*y**2. Factor j(h).
-h**2*(h - 1)**2*(2*h - 1)/3
Let f(t) be the second derivative of 1/5*t**2 - 14*t - 1/75*t**5 + 1/225*t**6 - 2/45*t**4 + 2/45*t**3 + 0. Suppose f(w) = 0. What is w?
-1, 1, 3
Let g(i) = -20*i**4 - 155*i**3 - 250*i**2 - 170*i - 50. Let t(h) = -h**5 - 19*h**4 - 156*h**3 - 250*h**2 - 169*h - 51. Let m(u) = 6*g(u) - 5*t(u). Factor m(n).
5*(n - 9)*(n + 1)**4
Let 36/5 - 96/5*g + 3/5*g**5 - 9/5*g**4 + 81/5*g**2 - 3*g**3 = 0. What is g?
-3, 1, 2
Let u(b) = -b**2 + 4*b + 2. Suppose -4*t - 8 - 8 = 0, -3*t = -3*s + 24. Let d be u(s). Factor 3/2*w**4 + 0 + 3/2*w**3 + 0*w**d + 0*w.
3*w**3*(w + 1)/2
Let o(n) be the second derivative of -n**5/130 + 17*n**4/78 - 44*n**3/39 + 28*n**2/13 - 197*n. Factor o(k).
-2*(k - 14)*(k - 2)*(k - 1)/13
Let q(c) be the first derivative of 3*c**7/140 - c**6/15 + c**5/15 + 2*c**3/3 - 4. Let n(o) be the third derivative of q(o). Find p, given that n(p) = 0.
0, 2/3
Let -52/3*t - 8/3*t**2 + 32/3*t**3 - 4 = 0. Calculate t.
-1, -1/4, 3/2
Let g be 190/(-455) + 6/(-39). Let f = g + 5/7. Factor -4/7 + 4/7*r**3 + 3/7*r**2 - 4/7*r + f*r**4.
(r - 1)*(r + 1)*(r + 2)**2/7
Let p(b) be the third derivative of b**5/105 + 17*b**4/42 - 76*b**3/21 - 30*b**2 + 2*b. Factor p(m).
4*(m - 2)*(m + 19)/7
Let v = -104/3 - -737/21. Factor 0 + 1/7*f**4 - 1/7*f - 3/7*f**3 + v*f**2.
f*(f - 1)**3/7
Let p(v) be the third derivative of -v**6/120 - 11*v**5/60 + 11*v**4/24 - 2*v**3 - 2*v**2 + 54. Let g be p(-12). Solve g*j**2 + 0*j + 9/2*j**4 - j**3 + 0 = 0.
0, 2/9
Let q(l) = 5*l**3 - 11*l**2 - 16*l. Let t(g) = g**2 - 2*g + 2*g + 0*g**2 + g. Let p(n) = -q(n) - 6*t(n). Solve p(d) = 0 for d.
-1, 0, 2
Factor 25/4*n**2 + 5/4*n**4 + 5*n**3 + 0 + 5/2*n.
5*n*(n + 1)**2*(n + 2)/4
Let i(c) = -8*c**2 + 59. Let j(u) = 2*u**2 - 15. Let l(q) = 6*i(q) + 26*j(q). Factor l(o).
4*(o - 3)*(o + 3)
Let s = -63 + 72. Suppose p - 30 = -s*p. Factor 1/4*y + 0 - 1/2*y**2 + 1/4*y**p.
y*(y - 1)**2/4
Let i(a) be the first derivative of 3*a**5/20 - 39*a**4/16 + 33*a**3/4 - 93*a**2/8 + 15*a/2 - 147. Factor i(m).
3*(m - 10)*(m - 1)**3/4
Factor 48/5*y + 0 + 2/5*y**2.
2*y*(y + 24)/5
Solve -10*h**3 - 5*h**5 - 7038*h**4 + 6 + 11*h + 7032*h**4 + 4*h**5 = 0 for h.
-3, -2, -1, 1
Let b(a) be the third derivative of a**7/315 + 2*a**6/45 + 17*a**5/90 + 5*a**4/18 - 83*a**2. Factor b(z).
2*z*(z + 1)*(z + 2)*(z + 5)/3
Let v(f) = -f. Let r(l) = -4*l**2 - 30*l + 88. Let j(u) = -r(u) - 6*v(u). Factor j(a).
4*(a - 2)*(a + 11)
Suppose 112*h**2 + 2*h + 108*h**2 + h**3 - 217*h**2 = 0. What is h?
-2, -1, 0
Let g be ((-9)/1 - 2) + 3. Let i(x) = -x - 3. Let u be i(g). Factor 28*k - 13*k + 7*k**2 + 10 + 3*k**3 - 4 + u*k**2.
3*(k + 1)**2*(k + 2)
Let o(g) = 14*g**4 + 28*g**3 - 66*g**2 + 27*g + 7. Let k(q) = 21*q**4 + 41*q**3 - 99*q**2 + 40*q + 11. Let d(b) = 5*k(b) - 7*o(b). Suppose d(x) = 0. What is x?
-3, -2/7, 1
Let p = 11 - 8. Let g be (-2)/6 + 104/24 + -1. Solve -3*d + 3*d**4 - 6*d**p + g*d**2 + 3*d + 0*d**2 = 0.
0, 1
Let d = 1735 + -1735. Let u(r) be the first derivative of 5/2*r**2 + 5/3*r**3 + 1 + d*r. Suppose u(b) = 0. Calculate b.
-1, 0
Let u(w) be the second derivative of -2*w**5/35 + 4*w**4/21 + 11*w**3/21 + 3*w**2/7 - 13*w + 17. Factor u(b).
-2*(b - 3)*(2*b + 1)**2/7
Let p = 129 - 126. Find b such that 30*b**3 + p*b**4 - b**4 - 6*b**4 - b**5 - 25*b**3 = 0.
-5, 0, 1
Factor -53138/7 + 652/7*g - 2/7*g**2.
-2*(g - 163)**2/7
What is a in 0 + 10/3*a - 2/3*a**3 + 8/3*a**2 = 0?
-1, 0, 5
Let d(m) be the first derivative of m**6/75 - m**5/25 + m**4/30 - 21*m - 21. Let s(a) be the first derivative of d(a). What is j in s(j) = 0?
0, 1
Let m(p) = -23*p**2 - 23*p + 11. Let a(s) = -8*s**2 - 8*s + 4. Let l = -63 - -74. Let w(x) = l*a(x) - 4*m(x). Solve w(q) = 0.
-1, 0
Let f be (-15)/(-2)*(-3)/18*-4. Factor 264*x - 264*x - x**f + 4*x**5 + 3*x**4.
3*x**4*(x + 1)
Let o(w) = 5 - 11 - 12*w**2 - 29*w - 7 - 2*w**3 + w**3. Let p be o(-9). Solve -1/2*b**p + 0 + 0*b**4 - 1/2*b + b**3 + 0*b**2 = 0.
-1, 0, 1
Let p(i) be the third derivative of 0*i - 1/108*i**4 + 11*i**2 + 2/27*i**3 + 0 + 1/945*i**7 + 1/540*i**6 - 1/90*i**5. Factor p(t).
2*(t - 1)**2*(t + 1)*(t + 2)/9
Let g(r) = 25*r**2 - 1914*r - 1264. Let a(n) = 12*n**2 - 956*n - 632. Let t(j) = 13*a(j) - 6*g(j). Find u such that t(u) = 0.
-2/3, 158
Factor 0 + 14/9*q + 2/9*q**2.
2*q*(q + 7)/9
Let w(k) = 11*k**4 + 27*k**3 + 6*k**2. Let x(u) = -34*u**4 - 80*u**3 - 18*u**2. Let q(d) = -21*w(d) - 6*x(d). Let q(r) = 0. What is r?
-3, -2/9, 0
Let a(t) be the first derivative of 2*t**5/15 - 3*t**4 + 38*t**3/3 + 260*t**2/3 - 200*t - 386. Determine n, given that a(n) = 0.
-3, 1, 10
Factor -57*m - 8*m**2 + 15*m - 12014*m**3 + 12016*m**3.
2*m*(m - 7)*(m + 3)
Suppose -7*n - n = -4*n. Let n*g**2 + 1/3*g**4 + 2/3*g**3 - 2/3*g - 1/3 = 0. Calculate g.
-1, 1
Factor -3/2*c**3 + 30*c**2 - 150*c + 0.
-3*c*(c - 10)**2/2
Factor -17*y**3 - 753*y**4 + 376*y**4 + 16*y**2 + 378*y**4.
y**2*(y - 16)*(y - 1)
Let r = -474/11 - -981/22. Find y such that 0*y + r*y**4 - 9/2*y**2 + 0 - 3*y**3 = 0.
-1, 0, 3
Let q(p) be the second derivative of -p**7/1470 + p**6/420 + 3*p**2/2 + 10*p. Let t(h) be the first derivative of q(h). Factor t(r).
-r**3*(r - 2)/7
Let p(s) be the third derivative of s**5/35 + s**4/42 - 8*s**3/21 - 196*s**2 + 2. Factor p(n).
4*(n - 1)*(3*n + 4)/7
Let n(r) = r**2 - r - 1. Let v(w) = 3*w**2 - 4*w - 5. Let c(j) = 4*n(j) - v(j). Let m(l) = 30*l**2 - 10*l - 5. Let p(x) = -5*c(x) - m(x). Factor p(g).
-5*g*(7*g - 2)
Let z(h) be the first derivative of 4*h**3/3 - 18*h**2 + 72*h - 180. What is p in z(p) = 0?
3, 6
Let w be ((-369)/(-615))/(6/5 - 1). Let p(r) be the first derivative of 2*r**2 + 8/3*r**w + 4 - 2*r**4 + 2/3*r**6 - 4*r - 4/5*r**5. Solve p(g) = 0.
-1, 1
Let a = 292 + -2049/7. Let k = 22/21 + a. What is d in 0 - k*d - 1/3*d**2 = 0?
-1, 0
Let v(i) be the first derivative of -i**4/3 + 148*i**3/9 - 240*i**2 + 432*i + 161. Factor v(u).
-4*(u - 18)**2*(u - 1)/3
Let l(r) be the second derivative of r**7/4200 + r**6/60 + r**5/2 + 25*r**4/3 + 4*r**3/3 - 32*r. Let w(v) be the second derivative of l(v). Factor w(f).
(f + 10)**3/5
Let g(a) be the second derivative of -3*a - 1/60*a**4 + 1/3*a**3 - 5/2*a**2 + 0. Factor g(f).
-(f - 5)**2/5
Let u(h) be the second derivative of h**4/132 + 19*h**3/66 - 10*h**2/11 - 159*h - 1. Find z, given that u(z) = 0.
-20, 1
Factor 1/7*q**2 - 51/7 + 2*q.
(q - 3)*(q + 17)/7
Let h(v) = -14*v**4 + 250*v**3 - 2636*v**2 - 3432*v + 5800. Let t(w) = 9*w**4 - 167*w**3 + 1757*w**2 + 2288*w - 3867. Let g(p) = 5*h(p) + 8*t(p). Factor g(m).
2*(m - 22)**2*(m - 1)*(m + 2)
Let d(i) be the first derivative of -3*i**4/4 + 269*i**3 - 53865*i**2/2 - 54675*i - 1053. Solve d(h) = 0.
-1, 135
Let m(y) be the third derivative of -y**8/672 + y**7/35 - 19*y**6/120 + 13*y**5/30 - 11*y**4/16 + 2*y**3/3 + 234*y**2 - 2*y. What is k in m(k) = 0?
1, 8
Let g(c) be the third derivative of c**6/1380 - c**5/30 + 31*c**4/138 - 40*c**3/69 + 2*c**2 + 702*c. Find m such that g(m) = 0.
1, 2, 20
Let y = 1405/7 - 200. Let r(f) be the first deriva