nd derivative of 5*c**4/24 + 29*c**3/18 - 2*c**2/3 + c. Factor h(r).
(r + 4)*(15*r - 2)/6
Let m(v) be the first derivative of v**8/336 + v**7/210 - v**6/40 - v**5/60 + v**4/12 - v**2 - 8. Let r(x) be the second derivative of m(x). Factor r(t).
t*(t - 1)**2*(t + 1)*(t + 2)
What is r in 32*r + 2/5*r**2 + 640 = 0?
-40
Solve 24*o - 2/3*o**4 + 26/3*o**3 + 0 - 32*o**2 = 0 for o.
0, 1, 6
Let j(g) be the third derivative of 3/16*g**4 - 9/4*g**3 + 1/80*g**6 + 32*g**2 + 1/8*g**5 + 0*g + 0. Let j(r) = 0. Calculate r.
-3, 1
Let t(n) be the second derivative of n**7/210 + n**6/40 + n**5/30 + 15*n**2/2 + 33*n. Let u(f) be the first derivative of t(f). Factor u(l).
l**2*(l + 1)*(l + 2)
Let b(x) be the first derivative of -1/18*x**3 - 2/3*x**2 - 8/3*x + 7. What is q in b(q) = 0?
-4
Let w be 2/(-20)*(-5)/2. Let k = -427 + 857/2. Factor 9/4 + k*m + w*m**2.
(m + 3)**2/4
Let c = 284 + -281. Let r(l) be the second derivative of 8/5*l**2 + 7/50*l**5 + 3/5*l**4 + 1/75*l**6 + 4/3*l**c + 7*l + 0. Factor r(g).
2*(g + 1)*(g + 2)**3/5
Let p(g) be the second derivative of -g**5/8 - 5*g**4/12 - 5*g**3/12 + 156*g. Let p(d) = 0. Calculate d.
-1, 0
Determine y, given that -312/5*y + 72/5 - 54/5*y**2 = 0.
-6, 2/9
Let l(n) be the third derivative of 9/10*n**3 + 7/100*n**5 + 23*n**2 + 0*n + 3/8*n**4 + 0 + 1/200*n**6. Factor l(i).
3*(i + 1)*(i + 3)**2/5
Let g(l) be the first derivative of -1/3*l**2 - 1/18*l**4 + 4 + 2/9*l**3 + 2/9*l. Factor g(h).
-2*(h - 1)**3/9
Let 36*s**4 - 99*s**3 + 216 - 13*s**2 - 36*s**2 - 3*s**5 - 34*s**2 + 252*s - 19*s**2 = 0. What is s?
-1, 2, 6
Let t = -22287/31 - -719. Let u = 130/93 - t. Suppose 0 + u*k**2 - 2/3*k - 2/3*k**3 = 0. What is k?
0, 1
Let r = -294/83 + 1712/249. Factor -2/3*h**2 - 8/3 - r*h.
-2*(h + 1)*(h + 4)/3
Let w(d) be the second derivative of -3*d**5/20 - 13*d**4/4 - 35*d**3/2 + 147*d**2/2 + 139*d. Determine c, given that w(c) = 0.
-7, 1
Let f(z) be the third derivative of z**7/210 - z**6/60 - z**5/60 + z**4/12 + 296*z**2. Factor f(n).
n*(n - 2)*(n - 1)*(n + 1)
Let o(u) = 22*u**2 + 28*u + 18. Let f(l) = 9*l**2 + 11*l + 7. Let i be (-20)/5*5/(-4). Let b(p) = i*o(p) - 12*f(p). Solve b(s) = 0.
-3, -1
Let c(r) = -3*r**3 + 4*r**2 + 9*r + 4. Let y(f) = -7*f**3 + 10*f**2 + 19*f + 7. Let b(j) = -5*c(j) + 2*y(j). Factor b(o).
(o - 3)*(o + 1)*(o + 2)
Let r(h) be the second derivative of h**4/54 - h**3/3 - 9*h + 9. Factor r(v).
2*v*(v - 9)/9
Factor -8/7*t**4 - 1/7*t**5 - 8/7 - 25/7*t**3 - 4*t - 38/7*t**2.
-(t + 1)**2*(t + 2)**3/7
Factor 2/15*h**2 + 16*h + 0.
2*h*(h + 120)/15
Let o be (-1 - (1 - 1)) + (-4956)/(-2891). Suppose -4/7*b**4 + o*b**3 + 1/7*b**5 + 0 + 0*b - 2/7*b**2 = 0. Calculate b.
0, 1, 2
Let i(t) be the third derivative of 0*t + 1/108*t**4 + 0 - t**2 + 1/270*t**5 - 2/27*t**3. Determine h so that i(h) = 0.
-2, 1
Let a = -2726/11 + 248. Let v = 5/2 - 51/22. Suppose -4/11*u - a*u**2 - v = 0. Calculate u.
-1
Suppose 0 = 5*l - 6 - 4. Suppose -8*c**2 + 8 + 10*c**2 - 3*c**l - 7*c = 0. Calculate c.
-8, 1
Let m be (-9)/4 - ((9 - 12) + 0). Find p, given that m*p**3 + 0 + p**2 + 1/4*p = 0.
-1, -1/3, 0
Suppose -11*a**2 - 22*a + 15*a**2 - 29*a**2 + 82*a = 0. What is a?
0, 12/5
Factor -318 + h**3 - 12*h**2 + 246 + 60*h - 2*h**2.
(h - 6)**2*(h - 2)
Let j be (-2)/(-7) + (-24)/(-14). Factor -109*m**2 + m**5 - 115*m**j + 6*m**4 - 3*m**5 - 6*m**3 + 226*m**2.
-2*m**2*(m - 1)**3
Let s be (3 + -4)*(-6)/687. Let i = 444/1603 + s. Solve -6/7*d**2 + i*d + 0 = 0.
0, 1/3
Suppose 0 = 2*m - c + 3*c - 4, -2*m = -5*c - 4. Suppose 0 = -2*l + 3*s + 12, -3 - 7 = -m*l + 2*s. Factor 1/3*o**2 + 1/3*o**l - 1/3*o - 1/3.
(o - 1)*(o + 1)**2/3
Let c be (63/54)/((-560)/(-60)). Find f, given that -1/4*f + 1/8 + c*f**2 = 0.
1
Let b(c) be the second derivative of -c**6/144 + 5*c**4/48 + c**3/3 - 16*c. Let j(w) be the second derivative of b(w). Solve j(a) = 0.
-1, 1
Let d(y) = -y**3 - 4*y**2 + 3*y - 7. Let g be d(-5). Suppose -30 + 48 = 9*j. Factor 2/7*t**j + 2/7*t**g + 0 - 4/7*t.
2*t*(t - 1)*(t + 2)/7
Let n(v) = -5*v**2 - 6*v - 8. Let b(f) = -6*f**2 - 7*f - 8. Let m(d) = 2*b(d) - 3*n(d). Let h(k) = -1. Let o(u) = 35*h(u) + 5*m(u). Find i, given that o(i) = 0.
-1, -1/3
Let c(a) be the second derivative of -a**7/2520 + a**6/360 + a**5/40 + a**4/12 + 13*a. Let v(n) be the third derivative of c(n). Factor v(t).
-(t - 3)*(t + 1)
Let f be 4081/795 - 72/15. Find q such that -f*q**2 - q - 2/3 = 0.
-2, -1
Let j(o) = o**2 + 2*o - 1023. Let p be j(-33). Let 4/3*b**3 + p + 2/3*b**5 + 0*b**2 + 0*b - 2*b**4 = 0. What is b?
0, 1, 2
Determine s, given that -99*s**3 - 105/2*s**4 + 6 - 69/2*s**2 + 18*s = 0.
-1, -2/7, 2/5
Let t = -196037/38790 + 277/431. Let v = 4/45 - t. Let 3*p - 1/2*p**2 - v = 0. What is p?
3
Let f be (2 - 3/1)/((-1)/(-15)). Let k be (-1)/(-1) + f/30. What is b in -1/2*b**2 + 0*b + k = 0?
-1, 1
Suppose 2*h = -g + 5, 223*h + g = 228*h - 16. Factor -3/2*q**2 - h + 9/2*q.
-3*(q - 2)*(q - 1)/2
Let o(r) be the third derivative of r**6/24 + r**5/12 - 5*r**4/4 + 2*r**2 - 468*r. Factor o(u).
5*u*(u - 2)*(u + 3)
Factor -1/3*h**2 + 4*h - 12.
-(h - 6)**2/3
Let y(w) be the third derivative of -1/945*w**7 + 0*w**3 - 34*w**2 + 0*w**5 + 0*w**4 + 0*w + 0 - 1/540*w**6. Suppose y(o) = 0. What is o?
-1, 0
Let f(p) be the second derivative of -9*p**7/98 - p**6/2 - 24*p**5/35 + p**4/7 - 181*p. What is o in f(o) = 0?
-2, 0, 1/9
Let d(n) be the third derivative of -n**6/1080 + n**5/180 - n**4/72 - 5*n**3/2 + 9*n**2. Let o(g) be the first derivative of d(g). Factor o(s).
-(s - 1)**2/3
Let v = 69 - 122. Let p = v - -56. Find w, given that -1/2*w**4 + 0*w**2 + 1/2 + w**p - w = 0.
-1, 1
Let m(x) be the third derivative of -x**6/360 - 11*x**5/9 + 221*x**4/72 - 7*x**2 - 4*x. Determine t so that m(t) = 0.
-221, 0, 1
Let l(g) = 9*g**2 - 4*g**2 + 5 - 5*g - 5*g. Let z = -294 - -297. Let q(r) = 40*r**2 - 80*r + 40. Let m(k) = z*q(k) - 25*l(k). Determine t so that m(t) = 0.
1
Let n(v) = v**2 - 15*v + 16. Let l be n(14). Factor -3 + 13*s + 14*s + 3*s**l - 27*s.
3*(s - 1)*(s + 1)
Let n(k) = 6*k**2 + 408*k + 39576. Let s(l) = l**2 + 2*l - 5. Let z(g) = -3*n(g) + 15*s(g). Determine u, given that z(u) = 0.
-199
Factor 63/2*m**2 - 81/2 + 27*m + 6*m**3.
3*(m + 3)**2*(4*m - 3)/2
Let o = 54 - 51. Let g(i) be the second derivative of 5*i - 2/39*i**o + 0*i**2 + 0 - 5/78*i**4 - 3/130*i**5. Factor g(y).
-2*y*(y + 1)*(3*y + 2)/13
Find p such that -31*p**2 + 19*p**2 + 18 + 15*p + 9*p**2 = 0.
-1, 6
Let s = 147 - 102. Let b be (8/s - -2) + 8/(-20). Determine x so that b*x + 10/9*x**2 + 2/9*x**3 + 8/9 = 0.
-2, -1
Let w(z) be the third derivative of -z**6/300 - 2*z**5/75 + 7*z**4/60 + 2*z**3/3 + 4*z**2 - 23. Find s such that w(s) = 0.
-5, -1, 2
Let f(q) = q**2 + 3. Let a be f(3). Suppose 5*z - 2*z - a = 0. Factor -4*u**4 - z*u - u**2 + 4*u**3 + 4*u**2 + u**2.
-4*u*(u - 1)**2*(u + 1)
Let a(q) = q**3 + 5*q**2 + 4*q + 2. Let d be a(-4). Find f, given that 3*f**5 - 158*f + 152*f - 9*f**3 + 4*f**4 - f**4 - 15*f**d = 0.
-1, 0, 2
Let f(c) = 96*c**4 - 48*c**3 - 79*c**2 + 54*c. Let j(z) = -32*z**4 + 16*z**3 + 26*z**2 - 18*z. Let a(s) = -4*f(s) - 11*j(s). Factor a(x).
-2*x*(x + 1)*(4*x - 3)**2
Let 6*w**2 + 28*w + 4*w**2 + 6*w**2 + 4*w**2 + 30 - 22*w**2 = 0. Calculate w.
-1, 15
Suppose 26*t + 239 - 83 = 0. Let u be (3 - 2)*2/(-20)*t. Factor 24/5*y + 48/5 + u*y**2.
3*(y + 4)**2/5
Let h(o) = 16*o - 16. Let v be h(-23). Let s be (1/4)/((-9)/v - 0). Factor -20/3*d**2 - 4/3*d**3 - s*d - 16/3.
-4*(d + 1)*(d + 2)**2/3
Suppose 4*h + 7 = l, -2*l = 3*l - 4*h + 13. Let m be (-8)/(-30) - (27/l + 5). Let z**2 + z**4 - z - m + 7/3*z**3 = 0. Calculate z.
-1, 2/3
Let p(r) be the third derivative of -r**6/120 - r**5/15 - r**4/12 - r**3 + r**2. Let v be p(-4). Determine i so that v*i**2 - 541 - 2*i + 541 = 0.
0, 1
Let j(h) = -24*h**3 - 40*h**2 - 200*h - 44. Let v(u) = -u**3 - 2. Let m(y) = -2*j(y) + 44*v(y). Factor m(p).
4*p*(p + 10)**2
Let q be 342/210 + 2/(-10). Let k = -1464 - -1466. Determine z so that q*z**k + 16/7*z + 8/7 + 2/7*z**3 = 0.
-2, -1
Let n(k) be the second derivative of 0 + 9*k + 1/3*k**2 - 1/18*k**4 + 1/18*k**3 - 1/60*k**5. Let n(g) = 0. What is g?
-2, -1, 1
Suppose 0 = -3*d + 39*d. Let q(t) be the second derivative of d - t**3 + 0*t**2 + 1/6*t**4 + 3*t. Factor q(s).
2*s*(s - 3)
Let m(a) = 148*a + 2815. Let f be m(-19). Factor -10/3*o**