 - 2 + 0*m + 1/4*m**4 + 0*m**3. Determine o so that s(o) = 0.
0
Let l(u) be the third derivative of -u**5/100 + u**4/4 + 11*u**3/10 + 90*u**2. Factor l(n).
-3*(n - 11)*(n + 1)/5
Let x(u) be the second derivative of -u**9/2160 + u**8/3360 + u**7/90 - u**6/90 - 19*u**4/12 + 17*u. Let i(d) be the third derivative of x(d). Factor i(h).
-h*(h - 2)*(h + 2)*(7*h - 2)
Let s = 2593/2960 - 45/592. Factor -11/5*t + 6/5 + 1/5*t**3 + s*t**2.
(t - 1)**2*(t + 6)/5
Suppose 9 = -0*o + o. Find r such that 3*r**2 + 9*r + o*r - 24*r = 0.
0, 2
Suppose -44*o = 5 - 5. Let n(u) be the second derivative of u + 1/2*u**4 - 1/15*u**6 - 1/10*u**5 - 2*u**2 + o + 1/3*u**3. Factor n(k).
-2*(k - 1)**2*(k + 1)*(k + 2)
Suppose 4*w = 8, -5*q = -5*w - 24 - 11. Let n be q + -2*25/10. Factor 1/6*g**n + 1/3 - 1/6*g + 1/6*g**3 - 1/2*g**2.
(g - 1)**2*(g + 1)*(g + 2)/6
Let p be (3 - ((-14)/(-3) - -1)) + 3. Let y(h) be the first derivative of 7 - p*h + 1/3*h**2 - 1/9*h**3. Factor y(u).
-(u - 1)**2/3
Determine k, given that -458*k**3 + k**2 - 4*k - 2 - 2 + 459*k**3 = 0.
-2, -1, 2
Let s(c) be the second derivative of 52*c**4 + 3*c**2 + 0 + 10*c - 128/7*c**7 - 456/5*c**5 + 384/5*c**6 - 33/2*c**3. Let s(r) = 0. What is r?
1/4, 2
Factor 10/3*y**2 - y - y**3 + 0.
-y*(y - 3)*(3*y - 1)/3
Determine x so that 20/7*x**2 - 48/7*x**3 + 0 - 2/7*x**5 + 50/7*x - 20/7*x**4 = 0.
-5, -1, 0, 1
Let n(o) be the third derivative of o**8/896 + o**7/560 - o**6/40 + o**5/20 - 3*o**4/8 + 16*o**2. Let p(v) be the second derivative of n(v). Factor p(i).
3*(i - 1)*(i + 2)*(5*i - 2)/2
Let a = -39 - -64. Solve l**2 + a*l**3 + 559*l**5 - 554*l**5 - 20*l**4 - 11*l**2 = 0.
0, 1, 2
Let w be (-60)/(-9)*(-6)/(-5). Suppose 4*s + b = 12, -3*s + 5*b = -w*s + 30. Find l, given that 3 + l + 3*l**2 - 5 - 2*l**s = 0.
-2, 1
Factor 240 + 115*k - 5/2*k**2.
-5*(k - 48)*(k + 2)/2
Let n(r) be the third derivative of -15/32*r**4 - 7/80*r**5 + 0*r - 16*r**2 - 9/8*r**3 + 0 - 1/160*r**6. Factor n(k).
-3*(k + 1)*(k + 3)**2/4
Let u = 355 - 352. Suppose 2*r**u + 4/5 - 2*r**2 + 6/5*r**4 - 2*r = 0. What is r?
-2, -1, 1/3, 1
Let 1144*b**3 + 253321*b**2 + 18895167*b + 15162*b**2 + 845791199 - 23095*b**2 + 4498489*b - 9467997 + 2*b**4 = 0. What is b?
-143
Factor -137*y - y**3 - 66*y + 22*y**2 + 122*y - 4*y**2.
-y*(y - 9)**2
Let c(t) be the first derivative of -t**5/5 + 5*t**4/2 - 8*t**3 - 16*t**2 + 128*t - 287. Let c(j) = 0. What is j?
-2, 4
Factor 6 + 4*r**2 + 121 - 121*r - 23 + 13*r.
4*(r - 26)*(r - 1)
Suppose -6*p + 259 = 925. Let g be p/(-66) + (-4)/22. Solve -5/2*i**5 - g*i**4 - 4 + 47/2*i**3 + 21*i - 73/2*i**2 = 0.
-4, 2/5, 1
Let r(d) = 7*d + 83. Let b be r(-11). Let s(a) be the first derivative of -b + 0*a + 0*a**4 - 3/5*a**2 + 3/5*a**3 - 3/25*a**5. Suppose s(u) = 0. What is u?
-2, 0, 1
Let r(t) be the third derivative of -t**5/15 + t**4/3 + 16*t**3/3 + 5*t**2 + t. Factor r(o).
-4*(o - 4)*(o + 2)
Let v(b) be the second derivative of 1/45*b**4 + 0*b**2 - 1/150*b**5 - 1/45*b**3 - 21*b + 0. Factor v(p).
-2*p*(p - 1)**2/15
Let m be -2 + -16 + (-168)/(-9). Solve 5*l**3 - m + 4*l - 47/6*l**2 = 0 for l.
2/5, 1/2, 2/3
Suppose -53 = 17*k - 53. Let p(a) be the second derivative of k - 10*a + 0*a**2 + 0*a**3 - 1/4*a**4 + 21/20*a**5. Solve p(j) = 0 for j.
0, 1/7
Let o = -82 + 122. Factor o*q**2 - 32 + 10*q + 30*q**3 - 4*q - 36*q - 13 + 5*q**4.
5*(q - 1)*(q + 1)*(q + 3)**2
Let i(s) be the second derivative of -s**5/5 - s**4 + 32*s**3/3 - 24*s**2 + 676*s. Find l, given that i(l) = 0.
-6, 1, 2
Let i(v) be the first derivative of -v**4/6 - 2*v**3/9 + 2*v**2/3 - 28. Factor i(y).
-2*y*(y - 1)*(y + 2)/3
Let m(v) be the first derivative of v**5/5 + 5*v**4/8 - 3*v**3/2 - 9*v**2/2 + 336. Let m(s) = 0. Calculate s.
-3, -3/2, 0, 2
Suppose 8 - 154/3*c**2 - 160/3*c + 10*c**3 = 0. What is c?
-1, 2/15, 6
Let v(g) be the third derivative of 1/15*g**5 + 0 - g**4 + 0*g + 1/20*g**6 - 17*g**2 - 1/105*g**7 + 8/3*g**3. Let v(f) = 0. What is f?
-2, 1, 2
Let v be 70/21*6/4. Factor -64*p + v*p**3 + 36*p**2 + 6*p**4 + 39*p**3 + 28*p**2.
2*p*(p + 4)**2*(3*p - 2)
Let f be (-6156)/627 + 10/1. Let y(w) be the first derivative of -f*w + 2 + 1/22*w**4 + 2/33*w**3 - 1/11*w**2. Factor y(x).
2*(x - 1)*(x + 1)**2/11
Let m(q) be the third derivative of 0*q**3 + 0 + 1/80*q**6 + 4*q**2 + 0*q + 0*q**4 + 1/70*q**7 - 1/20*q**5 - 1/224*q**8. Find i, given that m(i) = 0.
-1, 0, 1, 2
Solve -106 - 192*h - 150 - 32*h**2 - 2*h**3 + 24*h**2 - 28*h**2 = 0 for h.
-8, -2
Let m be 7 - -1*(3 - 7). Determine h, given that 4*h**2 + 286 - 286 - 3*h**3 - 5*h**m = 0.
0, 1/2
Let v(l) be the first derivative of -l**3/9 - 3*l**2/2 - 6*l - 714. What is u in v(u) = 0?
-6, -3
Let -2*o + 102*o - 4*o**3 - 112*o - 4 - 12*o**2 = 0. Calculate o.
-1
Let k(z) be the first derivative of -z**4/20 + 2*z**3/15 - z**2/10 + 404. Factor k(l).
-l*(l - 1)**2/5
Let i(y) = -2*y**5 + y**4 + y**3 - y. Let r(m) = -2*m**5 - 14*m**4 + 26*m**3 + 64*m**2 - 130*m. Let j(p) = -2*i(p) + r(p). Factor j(c).
2*c*(c - 4)**2*(c - 2)*(c + 2)
Suppose 8 = 222*w - 218*w. Let k(v) be the first derivative of -2/3*v**3 + 8 - w*v**2 - 2*v. Let k(d) = 0. What is d?
-1
Factor -3/2*w**3 + 33/2*w**2 + 0*w + 0.
-3*w**2*(w - 11)/2
Let j(h) = 2*h**2 - 2*h + 1. Let i(s) = -6*s**2 - 14*s - 30. Let x(v) = -i(v) - 2*j(v). Factor x(d).
2*(d + 2)*(d + 7)
Let i(q) = 2*q - 13. Let c be i(8). Suppose 4*g - 9 = -c*f + g, 13 = f - 4*g. Factor f*m**2 + 15 + 0*m - 13*m + 4*m - 11*m.
5*(m - 3)*(m - 1)
Let h(b) be the third derivative of b**5/105 + b**4/28 + b**3/21 - 54*b**2. Determine c, given that h(c) = 0.
-1, -1/2
Let f(d) be the second derivative of 4*d**2 - 1 - 1/3*d**4 - d - 2/3*d**3. Factor f(q).
-4*(q - 1)*(q + 2)
Let j(l) be the second derivative of -l**8/84 - 8*l**7/105 - l**6/5 - 4*l**5/15 - l**4/6 + 8*l**2 - 17*l. Let k(v) be the first derivative of j(v). Factor k(d).
-4*d*(d + 1)**4
Let w(d) be the third derivative of -d**7/70 - 31*d**6/40 - 3*d**5/2 - 27*d**2 - 5. Find h, given that w(h) = 0.
-30, -1, 0
Let d(u) = -5*u**3 - 7*u**2 - 7*u + 10. Let q(a) = 44*a**3 + 64*a**2 + 62*a - 92. Let s(c) = -52*d(c) - 6*q(c). Find h, given that s(h) = 0.
-4, -2, 1
Let t be ((75/20)/(-3))/(((-2850)/(-1008))/(-19)). Factor -t*y**2 - 12/5 + 18/5*y**3 + 38/5*y - 2/5*y**4.
-2*(y - 6)*(y - 1)**3/5
Let n(d) = 9*d**4 + 27*d**3 + 21*d**2 - 51*d - 54. Let l(i) = -i**4 - i**2 - 2*i. Let f(a) = 12*l(a) + n(a). Factor f(v).
-3*(v - 9)*(v - 2)*(v + 1)**2
Let 8/3*h + 2/3*h**4 - 8 - 4*h**3 + 6*h**2 = 0. What is h?
-1, 2, 3
Factor 46*o**2 + 215*o**2 + 150 - 183*o**3 - 5648*o + 21*o**4 + 6263*o.
3*(o - 5)**2*(o + 1)*(7*o + 2)
Let n(a) be the first derivative of -2*a**3/21 + 52*a**2/7 - 1352*a/7 - 73. Factor n(d).
-2*(d - 26)**2/7
Suppose -g + 10 - 4 = 0. Let a be ((-6)/(-7))/(g/28). Suppose -9*d**3 + 0*d**5 - 4*d**2 - 12*d**a - 4*d**5 - 3*d**3 = 0. Calculate d.
-1, 0
Suppose 11*i - 139 = -29. Suppose 33*h**2 + 4*h**4 + 4 - 13*h**2 - i*h - 28 - 10*h + 20*h**3 = 0. Calculate h.
-3, -2, -1, 1
Let d(o) be the third derivative of o**8/504 - o**7/105 - o**6/36 + o**5/6 + o**4/9 - 4*o**3/3 - 75*o**2. What is z in d(z) = 0?
-2, -1, 1, 2, 3
Let r(z) be the second derivative of 13*z**4/12 - z**3 + z**2/2 - 27*z. Let o(p) = -12*p**2 + 6*p. Let u(k) = -4*o(k) - 3*r(k). Factor u(d).
3*(d - 1)*(3*d + 1)
Let k be 29/290 + (-2)/20. Let h(f) be the second derivative of k - 1/150*f**5 + 0*f**2 + 0*f**4 + 0*f**3 - 4*f. Factor h(l).
-2*l**3/15
Let z = 23 + -19. Solve 0*t**2 + t**2 + t**3 - 376*t**z + 375*t**4 - t**5 = 0.
-1, 0, 1
Let r = 74 - 220/3. Let h(b) be the second derivative of 0 + 2*b + 0*b**2 + r*b**3 + 0*b**4 + 1/30*b**6 - 3/20*b**5. Suppose h(p) = 0. What is p?
-1, 0, 2
Factor 0*b**3 + 4/3*b + 2*b**2 + 0 - 2/3*b**4.
-2*b*(b - 2)*(b + 1)**2/3
Let z(w) be the third derivative of -w**5/12 + 25*w**4/24 + 5*w**3 - 2*w**2 - 18. Solve z(x) = 0.
-1, 6
Factor 6/7 + 10/7*g**2 + 32/7*g.
2*(g + 3)*(5*g + 1)/7
Let b(t) be the third derivative of 0 - 1/72*t**6 - 125/24*t**4 + 6*t**2 + 7/6*t**3 + 0*t - 5/12*t**5. Let x(j) be the first derivative of b(j). Factor x(f).
-5*(f + 5)**2
Let n = -6/1813 + 30833/3626. Suppose -n*z**4 - 13/2*z**2 - 12*z**3 + 0 - z - 2*z**5 = 0. What is z?
-2, -1, -1/4, 0
Let l(r) be the third derivative of 1/6*r**3 - 1/24*r**4 + 1/120*r**6 + 18*r**2 - 1/840*r**7 - 1/80*r**5 + 0*r + 0. Le