3*x**n - 4/3 - 8/3*x.
-4*(x + 1)**2/3
Let i(a) be the third derivative of -a**9/272160 + a**8/45360 + 2*a**5/15 - 48*a**2. Let l(j) be the third derivative of i(j). Factor l(m).
-2*m**2*(m - 2)/9
Let f(n) be the first derivative of 1/12*n**3 - 42 - 3/2*n**2 + 9*n. What is o in f(o) = 0?
6
Determine h so that -4608/19 + 192/19*h - 2/19*h**2 = 0.
48
Find w such that 7/2*w**2 - 1/2*w - 3 = 0.
-6/7, 1
Let y = 4838/1071 + -26/357. Determine k so that 0 - 14/9*k**4 - y*k**2 - 46/9*k**3 - 8/9*k = 0.
-2, -1, -2/7, 0
Let k(q) be the first derivative of -q**6/120 + q**5/60 - 17*q**2/2 - 4. Let x(l) be the second derivative of k(l). Factor x(g).
-g**2*(g - 1)
Let n = -19/9 - -22/9. Factor -4/3*f - n*f**2 - 1.
-(f + 1)*(f + 3)/3
Let b(m) be the third derivative of 0 + 1/960*m**6 + 0*m**4 - m**2 + 1/1680*m**7 + 0*m - 1/240*m**5 + 0*m**3. Find t, given that b(t) = 0.
-2, 0, 1
Factor -2631*y**2 - 7*y + 2726*y**2 - 95 + 3*y - y + 5*y**3.
5*(y - 1)*(y + 1)*(y + 19)
Let i(d) be the first derivative of -3/40*d**5 - 2*d**3 - d + 5 + 3*d**2 + 5/8*d**4. Let y(n) be the first derivative of i(n). Determine h, given that y(h) = 0.
1, 2
Let q(w) be the second derivative of w**7/280 - w**6/120 - w**5/20 - 13*w**3/6 - w. Let d(k) be the second derivative of q(k). Suppose d(x) = 0. Calculate x.
-1, 0, 2
Let w = 87 + -122. Let n be 8/(-10) + (-28)/w. Factor 0*a**2 + 0 - 1/4*a**4 + 0*a**3 + n*a.
-a**4/4
Suppose 0 = -2*s + 3*g - 87, -3*g - 54 = s - g. Let t be 2 + (2/(-8))/((-10)/s). Factor -2/5*v**3 - t + 0*v**2 + 6/5*v.
-2*(v - 1)**2*(v + 2)/5
Let z(w) be the first derivative of 2*w**3/15 - 14*w**2/5 + 552. Solve z(p) = 0 for p.
0, 14
Determine g, given that 31/2*g**3 + 34/5*g - 34/5*g**4 - 79/5*g**2 + 11/10*g**5 - 4/5 = 0.
2/11, 1, 2
Let x(f) be the second derivative of 5*f**4/3 + 2*f**3/3 + 21*f - 3. Let x(z) = 0. Calculate z.
-1/5, 0
Let t = 2961/76 + -155/4. Find g such that 2/19*g + t*g**2 - 6/19 = 0.
-3/2, 1
Suppose n - 2 - 1 = 0. Let i be 1 + (n - -3) + -4. Solve -2*q**4 - 8*q**2 - 7*q**2 + 3*q + 9*q**2 + 6*q**i - q = 0 for q.
0, 1
Let y(r) = -53*r**3 + 160*r**2 - 68*r + 8. Let g(v) = -13*v**3 + 40*v**2 - 17*v + 2. Let t be (-216)/10 - (-6)/(-15). Let n(u) = t*g(u) + 6*y(u). Factor n(a).
-2*(a - 2)*(4*a - 1)**2
Let s = 2/54923 - 22024129/164769. Let n = 136 + s. Determine u so that -n*u**3 - 3/2*u - u**4 - 1/3 - 1/6*u**5 - 8/3*u**2 = 0.
-2, -1
Factor -5/2*h**4 + 0 + 0*h**2 + 0*h - 5/2*h**3.
-5*h**3*(h + 1)/2
Let v = 31 + -49. Let x = -18 - v. Solve x - 75/2*r**3 + 6*r**2 + 6*r - 75/2*r**4 = 0.
-1, -2/5, 0, 2/5
Let z(y) be the second derivative of y**4/15 + 34*y**3/15 + 132*y**2/5 + 223*y. Suppose z(n) = 0. Calculate n.
-11, -6
Let f(i) be the third derivative of -5*i**2 + 0*i + 0 + 1/90*i**6 + 2/105*i**7 + 0*i**4 - 1/144*i**8 + 0*i**3 + 0*i**5. Factor f(j).
-j**3*(j - 2)*(7*j + 2)/3
Suppose 20*o + 19*o = 117. Let z(w) be the second derivative of -o*w**2 + 0 - 1/10*w**6 - 8*w - 3/4*w**5 - 9/4*w**4 - 7/2*w**3. Factor z(s).
-3*(s + 1)**3*(s + 2)
Let f(v) be the first derivative of -4/11*v - 3/11*v**2 - 27 + 10/33*v**3. Factor f(p).
2*(p - 1)*(5*p + 2)/11
Let t(m) be the third derivative of 1/36*m**5 + 5/12*m**4 + 0*m - 11*m**2 + 0 + 20/9*m**3. Factor t(x).
5*(x + 2)*(x + 4)/3
Let v(s) be the first derivative of 4*s**3/3 + 4*s**2 - 96*s + 721. Factor v(f).
4*(f - 4)*(f + 6)
Let i(u) be the third derivative of -u**6/120 - u**5/60 + u**4/12 + 78*u**2. Find q such that i(q) = 0.
-2, 0, 1
Let p(f) = -f**2 - 6*f. Let b be p(-5). What is m in -110*m**2 - 80*m + 28*m**4 + 28*m**3 - 80*m**3 - 16 - 14*m**2 + 20*m**b + 0*m**4 = 0?
-1, -2/5, 2
Let h = 60 + -49. Determine r so that 19*r**3 - r - 5*r**2 + 5*r**4 - 29*r**3 + h*r = 0.
-1, 0, 1, 2
Let v be 46*((-4 - -3) + 0 - -3). Suppose -1 - 8*a**4 - 5 - 10 + 39*a**2 - 58*a**3 - v*a - 165*a**2 = 0. Calculate a.
-4, -2, -1, -1/4
Let u(g) be the third derivative of g**6/70 - g**5/105 + 43*g**3/6 - 16*g**2. Let a(q) be the first derivative of u(q). Factor a(d).
4*d*(9*d - 2)/7
Let s(d) be the first derivative of 1/16*d**4 + 8 - 2*d - 9/8*d**2 + 1/4*d**3. Let o(l) be the first derivative of s(l). Factor o(v).
3*(v - 1)*(v + 3)/4
Let h be (1 - -5) + (-1 + 2)*-2. Factor -46*n - 2*n**3 + 6*n**3 + 42*n - 4*n**h + 4*n**2.
-4*n*(n - 1)**2*(n + 1)
Suppose -17*w - 3 - 1 + 55 = 0. Factor 2/3*r - 2/3*r**2 - 2/9 + 2/9*r**w.
2*(r - 1)**3/9
Let k(v) be the first derivative of 5*v**3/3 + 345*v**2/2 + 340*v - 490. Determine y so that k(y) = 0.
-68, -1
Let h = -493/48 - -31/3. Let j(w) be the third derivative of h*w**4 + 0 + 0*w - w**2 + 1/4*w**3 - 1/80*w**6 - 1/40*w**5. Factor j(d).
-3*(d - 1)*(d + 1)**2/2
Let j be 0 + ((-34)/(-17) - (-3)/1). Suppose 0 = 5*i + i + j*i. Find s, given that -6/5*s + i + 27/5*s**2 = 0.
0, 2/9
Let n be 4005/(-55) - 2 - 4/22. Let r be (-110)/n - ((-6)/45)/1. Factor -r*f + f**2 - 4/5.
(f - 2)*(5*f + 2)/5
Let b(a) = 2*a**3 + 3*a**2 - a + 1. Let l be b(3). Let f = l + -393/5. Factor -2/5*z + 0*z**2 + f*z**3 + 0.
2*z*(z - 1)*(z + 1)/5
Let x = 12 - 10. Factor 8 + 6*f**2 + 12*f + 3*f**x + f**3 - 3*f**2.
(f + 2)**3
Let t(k) be the third derivative of k**5/240 - 121*k**4/24 + 14641*k**3/6 + 661*k**2. Factor t(w).
(w - 242)**2/4
Factor 8*r**2 + 4/3*r**3 - 36*r + 0.
4*r*(r - 3)*(r + 9)/3
Factor 1/4*h**4 - 62*h - 123/2*h**2 - 20*h**3 - 83/4.
(h - 83)*(h + 1)**3/4
Let r(q) be the first derivative of q**6/33 - 4*q**5/11 - 29*q**4/11 + 32*q**3/33 + 177*q**2/11 - 252*q/11 - 783. Solve r(d) = 0 for d.
-3, 1, 14
Let r = -179/960 + 13/64. Let h(u) be the second derivative of 1/30*u**3 + 11*u + r*u**4 + 0 - 1/5*u**2. Find m, given that h(m) = 0.
-2, 1
Let a = -21364 + 21366. Determine h, given that 4/9 - 2/9*h**3 + 10/9*h - 2/9*h**4 + 2/3*h**a = 0.
-1, 2
Let x(y) = y**3 + 15*y**2 + 13*y + 10. Let w be x(-14). Let a = w - 21. Determine l, given that 6*l**4 - 2*l**3 + 2*l**2 - a*l**4 + 3*l - l**3 - 5*l**2 = 0.
-1, 0, 1
Suppose 0*d + 4*d = 48. Let i be (0 + 1)/(3/d). Factor 1/2*u**i + 0*u**2 + 0 + 1/2*u**3 + 0*u.
u**3*(u + 1)/2
Let x = 935/696 - 7/696. Factor x*a - 4/9*a**2 + 0.
-4*a*(a - 3)/9
Let f(q) = q**2. Let y(i) = -i**4 + 5*i**3 - 16*i**2 + 7*i - 2. Let a(u) = 14*f(u) + 2*y(u). Factor a(v).
-2*(v - 2)*(v - 1)**3
Factor 2*i**2 + 25 + 32*i + 17*i + 17*i + 11 + 8*i**2.
2*(i + 6)*(5*i + 3)
Let a(f) be the third derivative of f**8/84 + 2*f**7/21 + 7*f**6/30 - f**5/15 - 4*f**4/3 - 8*f**3/3 + 2*f**2. Solve a(l) = 0.
-2, -1, 1
Let u(z) be the first derivative of 10 + 8/3*z**3 + 2*z**2 - 4*z - 2*z**4 + 2/3*z**6 - 4/5*z**5. Solve u(o) = 0.
-1, 1
Suppose 10 = -2*p, 2*w - w + 3 = p. Let r be 4/(w/2)*-27. Let -l + 18*l + r*l**2 - 20*l**4 + 53*l**3 - 2 - 75*l**2 = 0. Calculate l.
1/4, 2/5, 1
Let r(c) be the third derivative of c**5/12 + 35*c**4/24 + 5*c**3 - 100*c**2. Factor r(n).
5*(n + 1)*(n + 6)
Let -36247*z + 36202*z + 21*z**3 + 33*z**2 - 4*z**4 - 5*z**4 = 0. What is z?
-5/3, 0, 1, 3
Let h(y) be the first derivative of 0*y + 0*y**3 - 10 - 3/28*y**4 + 3/14*y**2. Factor h(n).
-3*n*(n - 1)*(n + 1)/7
Let l(x) = -2*x**2 - 7*x - 42. Let f(i) = 3*i**2 + 6*i + 43. Let s(w) = -3*f(w) - 4*l(w). Let a be s(13). Let 2/5*o**3 + 0*o + 4/5*o**2 + a = 0. Calculate o.
-2, 0
Let p(x) be the first derivative of 14*x**5/15 - 5*x**4/6 - 74*x**3/9 - 31*x**2/3 - 4*x + 27. Determine m so that p(m) = 0.
-1, -2/7, 3
Suppose -9*q + 28 = 3*l - 7*q, 5*l - 5*q = 5. Let -33/5 + l*b + 3/5*b**2 = 0. Calculate b.
-11, 1
Let y(g) be the second derivative of -1/3*g**4 + 6*g + 0*g**3 + 0 + 0*g**2. Factor y(q).
-4*q**2
Let g(d) be the first derivative of 4*d**2 - 12 + 1/3*d**6 + 8*d**3 + 12/5*d**5 + 13/2*d**4 + 0*d. Factor g(j).
2*j*(j + 1)**2*(j + 2)**2
Find g such that -32 - 842*g - g**3 + 874*g + 2*g**3 - 10*g**2 = 0.
2, 4
Factor -84*w - 12*w**2 + 588 + 9*w**2 + 6*w**2.
3*(w - 14)**2
Let m(q) = -6*q**4 - 26*q**3 + 24*q**2 - 4*q + 8. Let y(w) = -7*w**4 - 26*w**3 + 23*w**2 - 5*w + 10. Let f(c) = -5*m(c) + 4*y(c). Factor f(h).
2*h**2*(h - 1)*(h + 14)
Let l(j) = -3*j + 16. Let a be l(4). Factor -2/5*g**a + 2/5*g**2 + 0*g + 0 - 2/5*g**5 + 2/5*g**3.
-2*g**2*(g - 1)*(g + 1)**2/5
Let a be (-20)/(-2) - (19 - 15). Let r be 20/a*(-30)/(-25). Solve 7*u**2 - 4*u - 4*u**2 + r - 5*u + 2 = 0 for u.
1, 2
Suppose 72*f - 211 - 5 = 0. Find v such that 0*v**f + 2/5*v - 2/5*v**5 - 4/5*v**2 + 4/5*v**4