6*n**3 - 3/8*n**2 + 17*n - 1/48*n**4. Factor o(t).
-(t - 3)*(t - 1)/4
Let y(h) be the third derivative of 0*h - h**3 + 7/24*h**4 + 2*h**2 + 1/24*h**6 - 1 + 3/10*h**5. Factor y(z).
(z + 1)*(z + 3)*(5*z - 2)
Suppose 14*k - 325 = k. Factor 4*t**2 - k*t + 3*t**2 + 5*t**3 + 3*t**2 - 30.
5*(t - 2)*(t + 1)*(t + 3)
Let w = -91225 + 7754461/85. Let l = -40/17 + w. Factor -8/5 - 4/5*a**3 + 4/5*a + l*a**2.
-4*(a - 2)*(a - 1)*(a + 1)/5
Let g be (30/5)/60*80/24. Let w(b) be the second derivative of 0 + 8/3*b**3 + g*b**4 - 9*b + 6*b**2. Determine n so that w(n) = 0.
-3, -1
Let o(l) be the second derivative of 31/2*l**2 + 21/2*l**3 + 3 + 1/20*l**5 - 23*l + 11/4*l**4. Find z such that o(z) = 0.
-31, -1
Let s be (-82060)/11724 + 9 + 3 + -5. Let b = 5872/14655 - s. Factor 16/5 + 14/5*j - b*j**2.
-2*(j - 8)*(j + 1)/5
Let s(a) be the third derivative of a**7/1890 + 29*a**6/540 + 14*a**5/45 - 23*a**4/3 - 13*a**2. Let p(w) be the second derivative of s(w). Factor p(m).
4*(m + 1)*(m + 28)/3
Factor 573*v - 2*v**2 + 7*v**2 - 1688*v - 1655*v + 383645.
5*(v - 277)**2
Let i(w) = -10*w**3 - 2*w**2 + 25*w**2 - 15*w**2 - 10 + 6*w. Let b be i(-7). Let 3770*p**2 - 2*p**4 + 10*p**3 - b*p**2 = 0. What is p?
0, 5
Let -5*l**4 - 17*l**3 + 19*l**2 - 13*l**4 + 12*l**2 + 7*l**4 + 12*l**4 - 15*l = 0. What is l?
0, 1, 15
Let w = 29466 - 29463. Let m(d) be the second derivative of 9/4*d**5 + 5*d**2 - w*d - 20/3*d**4 + 25/6*d**3 + 0. Find t such that m(t) = 0.
-2/9, 1
Let z(x) be the third derivative of x**8/840 + 2*x**7/75 - x**6/20 - 2504*x**2. Solve z(d) = 0.
-15, 0, 1
Let a(n) be the second derivative of n**4/30 - 22*n**3/5 + 153*n**2 - 708*n + 2. Factor a(h).
2*(h - 51)*(h - 15)/5
Suppose -2*b = -5*z - 515, 5*z = 3*b - 533 + 13. Let j = 1113/11 + z. Factor 2/11*i**3 + 0*i + j*i**2 - 2/11*i**4 + 0 - 2/11*i**5.
-2*i**2*(i - 1)*(i + 1)**2/11
Suppose 0 = v - 0*v + 2. Let o be (-3 - (-69)/9) + v/3. Factor -9*q**2 + 6 + 3 - 1 + q**2 + 4*q**3 - o*q.
4*(q - 2)*(q - 1)*(q + 1)
Let t(w) be the second derivative of 3*w**5/20 - 67*w**4/2 + 2310*w**3 - 13068*w**2 - 2*w - 4. Solve t(h) = 0.
2, 66
Let q(p) = -196*p + 394. Let b be q(2). Let m(h) be the third derivative of -1/27*h**4 - 1/270*h**5 + 0 - 1/9*h**3 - 4*h**b + 0*h. Factor m(s).
-2*(s + 1)*(s + 3)/9
Let j = 68743/14 - 4910. Let o(n) be the second derivative of -1/7*n**2 + 0 - j*n**4 - 2/7*n**3 - 17*n. Factor o(l).
-2*(3*l + 1)**2/7
Let i(n) = -17*n**4 - 256*n**3 - 2301*n**2 - 7274*n - 6899. Let q(d) = 4*d**4 + 64*d**3 + 575*d**2 + 1814*d + 1725. Let u(l) = 6*i(l) + 26*q(l). Factor u(b).
2*(b + 2)*(b + 4)**2*(b + 54)
Let v(p) be the second derivative of 131*p - 25/27*p**3 - 4/45*p**5 + 2/3*p**2 + 1/2*p**4 - 2. Factor v(q).
-2*(q - 2)*(q - 1)*(8*q - 3)/9
Let u(h) be the second derivative of h**5/60 + 161*h**4/36 + 6715*h**3/18 + 6241*h**2/2 + 443*h. Factor u(j).
(j + 3)*(j + 79)**2/3
Let w be 156/(-273)*(18 - 300/16). Suppose w*f**4 - 18/7*f**3 + 0*f + 0 + 0*f**2 = 0. What is f?
0, 6
Determine f so that 5 - 6*f**3 + 48 - 56 + 3*f**4 - 2*f + 8*f = 0.
-1, 1
Let v be (51/6 + -1)*(-4)/(-3). Let z = -9 + v. Factor -2*h - 13*h + z - 2 - 5*h**2 - 9.
-5*(h + 1)*(h + 2)
Let 3/4*r**2 - 9/4 - 3/2*r = 0. Calculate r.
-1, 3
Let p(r) be the third derivative of -1/210*r**7 - 1/20*r**5 + 0*r**4 - 1/30*r**6 - 50 + 0*r + 2*r**2 + 0*r**3. Find q such that p(q) = 0.
-3, -1, 0
Let s(p) = -3*p**2 - 328*p + 8. Let k(b) = 20*b**2 + 2295*b - 60. Let g(o) = -2*k(o) - 15*s(o). Factor g(z).
5*z*(z + 66)
Let s(z) = -15*z**2 + z + 1. Let d be s(-2). Let j = 65 + d. Find t such that -30*t - 439 + 2*t + 463 + j*t**2 = 0.
1, 6
Let u(j) = 9380*j - 187600. Let g be u(20). Factor 8/9*f**3 - 2*f**2 + 3 + g*f - 1/9*f**4.
-(f - 3)**3*(f + 1)/9
Let w(u) = 111*u**3 - 1115*u**2 - 1096*u. Let b(t) = -51*t**3 + 558*t**2 + 549*t. Let p(q) = 13*b(q) + 6*w(q). Find k such that p(k) = 0.
-187, -1, 0
Let k(o) = 1326*o**2 - 29172*o + 2. Let i be k(22). Determine x, given that -2/7*x**3 + 0 - 722/7*x + 76/7*x**i = 0.
0, 19
Suppose 6*i - 75 + 21 = 0. Let c be 3*2/(-12)*i/(-3). Suppose -3/2*k**2 + 3/2*k + 3/2 - c*k**3 = 0. What is k?
-1, 1
Determine k, given that -2*k**2 + 10*k**3 - 14178*k + k**4 + 13982*k - 5*k**2 = 0.
-7, 0, 4
Let q(a) = 2*a**2 - a. Let d be (30/12 + -3)*(1 - -11). Let z(t) = 4*t**2 + 26*t + 4. Let v(n) = d*q(n) - z(n). Determine o so that v(o) = 0.
-1, -1/4
Find i, given that 0 + 0*i + 2/11*i**4 + 0*i**2 + 2*i**3 = 0.
-11, 0
Let j(g) = -8*g**2 - 55*g + 57. Let m(p) = -165*p - 32*p**2 + 7*p**2 + 4 + 166. Let v(u) = 10*j(u) - 3*m(u). Factor v(a).
-5*(a - 1)*(a + 12)
Let g(x) = -6*x**2 - 813*x + 2418. Let n(f) = 21*f**2 + 2439*f - 7256. Let j(v) = -10*g(v) - 3*n(v). Determine y, given that j(y) = 0.
3, 268
Solve -3*k**4 + 180 + 24*k**3 + 307*k**2 - 96*k - 205*k**2 - 135*k**2 = 0 for k.
-2, 2, 3, 5
Factor 127*n**2 + 161*n**2 - 267*n**2 - 32 - 76*n.
(n - 4)*(21*n + 8)
Let w = -6318 + 6318. Let u(i) be the second derivative of w + 4*i - 5/36*i**4 + 35/9*i**3 - 245/6*i**2. Find r, given that u(r) = 0.
7
Let r(o) = 2*o + 5. Let h(s) = -s + 1. Let q(z) = -6*h(z) - 2*r(z). Let i be q(12). Factor 40 + 15*v**2 + i*v**3 + 0*v**2 + 37*v**3 + 15*v**2 - 100*v.
5*(v + 2)*(3*v - 2)**2
Let a(l) be the first derivative of -l**5/15 - 17*l**4/6 + 25*l**3/3 + 18*l**2 + 479. Factor a(d).
-d*(d - 3)*(d + 1)*(d + 36)/3
Let y = 2053 + -2053. Let p(x) be the third derivative of -13/15*x**5 - x**4 + 0*x**3 + 1/6*x**6 + 3*x**2 + y + 0*x. Factor p(j).
4*j*(j - 3)*(5*j + 2)
Suppose 114 = h + 76. Let v = h + -34. Determine q so that -12*q**2 - 4 + 2*q**v - q + 6 + 17*q - 8 = 0.
-3, 1
Let l(i) be the first derivative of i**5/240 + 5*i**4/12 - 109*i**2 - 63. Let n(y) be the second derivative of l(y). Suppose n(a) = 0. What is a?
-40, 0
Let o(b) be the second derivative of 11*b**5/80 + 19*b**4/48 + 5*b**3/24 - 3*b**2/8 + 393*b. Factor o(m).
(m + 1)**2*(11*m - 3)/4
Suppose -7*l + 216 = 160. Let y be l - (-13)/(52/(-24)). Find o, given that o**3 - 17/4*o**y + 0 + o = 0.
0, 1/4, 4
Let u(i) = -i**3 + 2*i**2 + 5*i - 1. Let b be u(3). Suppose -8*l**2 + 9*l**4 - 5*l**4 + 3*l**4 + 2*l**b - l**4 = 0. Calculate l.
-2, 0, 1
What is b in 51030/11*b + 6/11*b**5 + 26244/11 + 19440/11*b**2 + 3060/11*b**3 + 20*b**4 = 0?
-9, -2/3
Let i(h) be the first derivative of -59 + 1/11*h**2 - 1/33*h**6 + 0*h**4 - 4/55*h**5 + 4/33*h**3 + 0*h. Factor i(x).
-2*x*(x - 1)*(x + 1)**3/11
Find h, given that 37527876*h - 3401184901 - 18378*h**2 + 1256*h**3 + 1258*h**3 + 1257*h**3 - 22142789363 - 3768*h**3 = 0.
2042
Suppose -5*z + h = 7 - 28, 3*h = 4*z - 8. Let q(x) be the first derivative of 0*x + 0*x**2 - 7 + 1/6*x**6 + 0*x**4 + 0*x**3 - 1/5*x**z. Let q(r) = 0. What is r?
0, 1
Let j(i) = -20*i**2 - 3330*i + 2840. Let d(z) = -z**2 - 34*z + 1. Let c(m) = 15*d(m) - j(m). Factor c(q).
5*(q - 1)*(q + 565)
Let r be 1/((-104)/(-45824)) - 1. Let x = r + -439. Let -2/13*z**5 + 14/13*z**4 - 32/13*z + x + 50/13*z**2 - 38/13*z**3 = 0. Calculate z.
1, 2
Let y(s) be the first derivative of -s**7/2310 + s**6/440 + 5*s**5/132 + 7*s**4/88 - 64*s**2 + 171. Let c(b) be the second derivative of y(b). Solve c(h) = 0.
-3, -1, 0, 7
Let o be (-5848)/(-408) + (0 + (4 - 3) - 11). Factor -o*t - 2 - 8/3*t**2 - 1/3*t**3.
-(t + 1)**2*(t + 6)/3
Let r(p) be the first derivative of p**3/3 - 537*p**2/2 - 538*p - 7261. Solve r(m) = 0 for m.
-1, 538
Let h = 2451/3976 - 120/497. Determine z, given that -h*z**3 + 93/8*z + 21/4*z**2 + 6 = 0.
-1, 16
Factor -368/7*u**2 + 2/7*u**4 + 34/7*u**3 + 0 + 800/7*u.
2*u*(u - 4)**2*(u + 25)/7
Suppose 0 + 11/4*t**2 + 5/2*t + 1/4*t**3 = 0. Calculate t.
-10, -1, 0
Let z(v) be the first derivative of v**5/22 + 9*v**4/44 - 2*v**3/11 - 15*v**2/2 - 64. Let q(j) be the second derivative of z(j). Factor q(r).
6*(r + 2)*(5*r - 1)/11
Determine h, given that -18325043200*h - 13010780672000 - 9678720*h**2 - 2272*h**3 - 1/5*h**4 = 0.
-2840
Let b(m) = m**2 + m. Let d be b(-2). Factor 4744*w - 664 - w**5 + 34*w**4 - 361*w**3 + 2392 + 900*w**d - 1720*w.
-(w - 12)**3*(w + 1)**2
Let u(r) be the second derivative of 9/2*r**5 + 138 + 15/2*r**2 - r - 19/3*r**3 - 17/4*r**4. Solve u(g) = 0 for g.
-3/5, 1/3, 5/6
Let l(q) be the third derivative of -3*q**8/56 - 26*q**7/105 + q**6/20 + 6*q**5/5 - q**4/3 + 1097*q**2. Solve l(h) = 0 for h.
-2, 0, 1/9, 1
Let l = 298