*l**3 - l**2 - 3*l**3 = 0.
0, 1
Let c(q) be the third derivative of 1/36*q**5 + 1/3*q**3 - q**2 - 6*q + 0 + 13/72*q**4. Factor c(t).
(t + 2)*(5*t + 3)/3
Factor -27*h - 3 + 54*h**2 - 17 + 1 - 1 - 7*h.
2*(h - 1)*(27*h + 10)
Let z be 86 - (5 - 5)/7. Factor -88 - 2*v**2 + 239 + 12*v - 81 - z.
-2*(v - 4)*(v - 2)
Let z = 17462 - 17459. Let x(p) be the first derivative of 1/4*p**2 + 16 + 1/4*p + 1/12*p**z. Factor x(t).
(t + 1)**2/4
Let f(w) be the first derivative of 1/34*w**4 - 40/17*w + 14 + 24/17*w**2 - 6/17*w**3. Factor f(u).
2*(u - 5)*(u - 2)**2/17
Factor 52*z**3 - 69*z**2 - 12 - 53*z**3 - 123 - 271*z - 68*z**2.
-(z + 1)**2*(z + 135)
Let h(r) = 14*r**2 + 115*r - 211. Let l(j) = 17*j**2 + 116*j - 210. Let c(x) = -6*h(x) + 5*l(x). Suppose c(f) = 0. What is f?
2, 108
Let c(f) be the second derivative of 0*f**2 - 13*f - 1/140*f**5 - 1 + 1/42*f**4 + 0*f**3. Factor c(q).
-q**2*(q - 2)/7
Let o(y) = -5*y**2 - 14*y - 10. Let a be o(-13). Let x = 3373/5 + a. Find g, given that g**2 + 4/5 - x*g - 1/5*g**3 = 0.
1, 2
Let j = -781/36 - 12547/180. Let c = -86 - j. Solve -18/5*a - 3/5*a**2 - c = 0 for a.
-3
Let d(u) be the third derivative of u**7/245 - 851*u**6/140 + 1696*u**5/35 - 121*u**4 + 6*u**2 + 170*u. Determine r so that d(r) = 0.
0, 2, 847
Suppose 9*r + 1/3*r**2 + 110/3 = 0. What is r?
-22, -5
Let i(y) be the second derivative of -8/3*y**4 + 32/3*y**3 - 7/5*y**5 + 0 - 2/15*y**6 + 4*y + 0*y**2. Suppose i(z) = 0. Calculate z.
-4, 0, 1
Let a = -1835 - -1830. Let g be 5 + (0*a/(-20))/(-5). Find v such that -8/13*v**4 + 2/13*v**g - 8/13*v + 2/13*v**3 - 16/13 + 20/13*v**2 = 0.
-1, 2
Suppose -29*c - 648 = -35*c. Factor 232*d**2 + 4 - c + 304*d - 56 + 20*d**3.
4*(d + 2)*(d + 10)*(5*d - 2)
Let w = 60651 + -181931/3. Suppose 1/3*v**2 + 121/3 - w*v = 0. Calculate v.
11
Find f such that 10/7*f**5 - 2/7*f + 0 - 8/7*f**3 - 12/7*f**4 + 12/7*f**2 = 0.
-1, 0, 1/5, 1
Let x(k) be the first derivative of -k**6/45 - 7*k**5/30 - k**4/3 + 61*k - 7. Let f(l) be the first derivative of x(l). Factor f(v).
-2*v**2*(v + 1)*(v + 6)/3
Let g be (18/((-324)/(-210)) + -8)*11. What is y in -g + 22/3*y - 1/3*y**2 = 0?
11
Let k be (-1 + (-26)/(-14))*(-84)/(-18). Let u(j) be the first derivative of -5 + 2*j**2 + 0*j + j**k - 8/3*j**3. Factor u(h).
4*h*(h - 1)**2
Let f(c) = -29*c**4 + 1388*c**3 - 136909*c**2 - 279777*c. Let z(u) = 7*u**4 - 348*u**3 + 34227*u**2 + 69944*u. Let g(x) = 6*f(x) + 25*z(x). Factor g(n).
n*(n - 187)**2*(n + 2)
Let o(z) be the third derivative of -5/36*z**4 + 209*z**2 + 0 + 0*z + 14/9*z**3 - 1/90*z**5. Suppose o(k) = 0. What is k?
-7, 2
Suppose -d = -5*j + 113 + 2, 3*j = 5*d + 91. Find y such that 4*y**2 - j*y**4 + 74 - 74 + 18*y**3 = 0.
-2/11, 0, 1
Let -1/3*a**5 + 88*a + 335/3*a**2 + 181/3*a**3 + 76/3 + 11*a**4 = 0. What is a?
-2, -1, 38
Let w = -1498382 - -17980591/12. Suppose -w - 5/12*k**2 + 3*k = 0. What is k?
1/5, 7
Let n = 1588229 - 1588227. Factor 3/5*s**3 - 9/5*s**n + 0*s + 12/5.
3*(s - 2)**2*(s + 1)/5
Let k(y) be the third derivative of -y**7/315 + 77*y**6/30 - 53821*y**5/90 + 8855*y**4/3 - 52900*y**3/9 - 158*y**2 - 2*y. Suppose k(q) = 0. Calculate q.
1, 230
Let j(q) be the second derivative of -69/50*q**5 - 77/25*q**6 + 0*q**3 - 1/6*q**4 + 9 + 7/15*q**7 + 0*q**2 - q. Factor j(r).
2*r**2*(r - 5)*(7*r + 1)**2/5
Let d(i) be the third derivative of -25*i**8/2688 + 3*i**7/112 + 19*i**6/240 - 11*i**5/30 + i**4/2 - i**3/3 + 248*i**2 + 7. What is u in d(u) = 0?
-2, 2/5, 1, 2
Let d be 46/(-69) - 14/(-3). Determine q so that -2*q**2 + 7 + 4*q**2 - d*q**2 + 10*q + 5 = 0.
-1, 6
Let h be (-15686396)/121 - 12/(-6). Let y = h + 129798. Determine i so that -y*i**2 - 432/11 - 1512/11*i - 686/11*i**3 = 0.
-6/7
Factor 33/2 + 15*z - 3/2*z**2.
-3*(z - 11)*(z + 1)/2
Let u = -187 + 208. Let o = u + -271/13. Suppose 96/13*r - 24/13*r**2 + o*r**3 - 128/13 = 0. What is r?
4
Let u(s) = 32*s - 332. Let g(q) = 11*q - 111. Let c(m) = 11*g(m) - 4*u(m). Let f be c(15). Factor 0*n + 1/2*n**4 + 0*n**f + 0 - n**3.
n**3*(n - 2)/2
Let b(h) be the first derivative of -h**7/6720 - h**6/576 + 36*h**3 - h - 68. Let y(v) be the third derivative of b(v). Find q, given that y(q) = 0.
-5, 0
Let r(k) = -17*k**2 - 85*k - 57. Let s(x) = 9*x**2 + 45*x + 30. Let t(p) = -6*r(p) - 11*s(p). Suppose t(z) = 0. What is z?
-4, -1
Let o(j) be the first derivative of -j**4/10 + 76*j**3/15 - 377*j**2/5 + 136*j + 8598. Let o(p) = 0. Calculate p.
1, 17, 20
Let x(r) = 3*r**2 - 30*r. Let s be x(10). Let j(i) be the first derivative of 1/15*i**3 + s*i + 6 - 3/10*i**2. Factor j(c).
c*(c - 3)/5
Let w(q) be the second derivative of q**5/15 - 5*q**4/3 + 6*q**3 + 87*q**2/2 + 100*q. Let j(i) be the first derivative of w(i). Factor j(b).
4*(b - 9)*(b - 1)
Let d(z) = -8*z**3 - 22*z**2 - 731*z - 3456. Let a(r) = -5*r**3 - 11*r**2 - 365*r - 1728. Let h(u) = 5*a(u) - 3*d(u). Find b, given that h(b) = 0.
-8, 27
Suppose 0 = 43*b - 6 - 102 - 21. Let j(i) be the first derivative of 23 + 1/2*i**b - 3/2*i - 1/12*i**2 + 1/24*i**4. Let j(u) = 0. Calculate u.
-9, -1, 1
Suppose 44*z - 181/2*z**2 - 273/2*z**3 - 2 = 0. Calculate z.
-1, 2/39, 2/7
Let l(x) be the first derivative of -x**4/6 + 20*x**3/9 - 32*x**2/3 + 64*x/3 - 933. Factor l(m).
-2*(m - 4)**2*(m - 2)/3
Let d = -64/35 - -512/35. Let m(n) be the first derivative of -64/15*n**3 - 12/5*n + 8*n**2 - d*n**4 - 20. Factor m(t).
-4*(4*t - 1)**2*(4*t + 3)/5
Let p(z) = -z**2 + 204*z - 203. Let b(f) = -199 - 5*f - 240*f - 4*f**2 + 1265*f - 493 - 324. Let q(v) = -5*b(v) + 24*p(v). Factor q(y).
-4*(y - 1)*(y + 52)
Let r be 10/75*(-114 + 135). Factor 0 - 2/5*d**3 + r*d + 12/5*d**2.
-2*d*(d - 7)*(d + 1)/5
Let n(c) be the second derivative of -c**4/48 - 41*c**3/12 + 90*c**2 - 4900*c. Factor n(o).
-(o - 8)*(o + 90)/4
Suppose -d + 12 = -2*w, 2*d + 1 = w - 2*w. Factor -12 - 2*v**d + 13*v - 41*v + 7*v + 11*v.
-2*(v + 2)*(v + 3)
Let b(j) = 133*j**2 + 113*j - 6. Let t(q) = -377*q**2 - 340*q + 17. Let a(m) = 17*b(m) + 6*t(m). Factor a(l).
-l*(l + 119)
Let c = -68 - -70. Let j be (36/6*c/(-3))/(-2). Suppose -10*b**2 + 2*b**j + 4*b**2 - 20 + 24*b = 0. Calculate b.
1, 5
Let z(p) = p**2 + 5*p + 3. Let y be z(-5). Suppose 3*f - j - 17 = j, -5*f = 3*j - y. Factor -8*c**3 + 3*c**f - 78*c**4 - 15*c + 45*c**4 - 25*c**2 + 38*c**4.
5*c*(c - 3)*(c + 1)**2
Let b(q) be the third derivative of q**8/60480 - q**7/3780 - q**6/432 + 49*q**5/60 + 8*q**2 + 3*q. Let f(n) be the third derivative of b(n). Factor f(o).
(o - 5)*(o + 1)/3
Suppose -239/3 + 1/6*l**3 + 319/2*l - 80*l**2 = 0. Calculate l.
1, 478
Let d(z) = -2*z**3 + 42*z**2 - 40*z + 1. Let p be d(20). Let q(v) = v**2 - 2*v + 1. Let t(l) = -3*l**2 - 60*l - 1. Let w(y) = p*t(y) + q(y). Factor w(r).
-2*r*(r + 31)
Suppose x = 4*i - 206, x = 5*i + 2*x - 262. Suppose -24 - 4*t**2 - 23*t - t + i*t = 0. Calculate t.
1, 6
Let i = 382 - 175. Let m be i/(-690) + 43/10. Factor -1/4*g**2 + 1/2*g**3 - 1/2*g + 0 + 1/4*g**m.
g*(g - 1)*(g + 1)*(g + 2)/4
Let m(g) be the second derivative of g**8/112 + g**7/14 + g**6/10 - g**2 - 110*g. Let c(u) be the first derivative of m(u). Solve c(x) = 0.
-4, -1, 0
Let r = -48689/4 + 730343/60. What is j in -58/15*j + r*j**2 + 56/15 = 0?
1, 28
Let a(h) be the third derivative of 1/140*h**7 - 9*h + 1/80*h**6 - 1/4*h**4 + 0 + 2*h**2 + 0*h**3 - 1/10*h**5. Find b, given that a(b) = 0.
-2, -1, 0, 2
Let u(h) be the first derivative of -h**4/38 - 766*h**3/57 - 36863*h**2/19 - 72962*h/19 + 2939. Factor u(i).
-2*(i + 1)*(i + 191)**2/19
Factor -1/2*i**4 + 28*i**3 + 0*i**2 + 0*i + 0 - 1/2*i**5.
-i**3*(i - 7)*(i + 8)/2
Let s(z) = 43 - z**2 + 23*z - z**3 - 71 - 4*z**3 + 13*z**2. Let b(v) = -20*v**3 + 49*v**2 + 91*v - 111. Let n = 7 - -2. Let a(x) = n*s(x) - 2*b(x). Factor a(k).
-5*(k - 3)*(k - 1)*(k + 2)
Solve 109*l + 5*l**3 - 100*l**2 - 188*l - 191*l - 76*l - 230 + 11*l = 0 for l.
-2, -1, 23
Let k = 3460145/8073639 + -2/1153377. Factor 9216/7*m**2 + 288/7*m + k + 98304/7*m**3.
3*(32*m + 1)**3/7
Factor -2*i - 96 - 45 - 63*i + 179*i + 29 - 2*i**2.
-2*(i - 56)*(i - 1)
Factor 14*m**3 + 0*m + 0 + 148/5*m**2 - 2/5*m**4.
-2*m**2*(m - 37)*(m + 2)/5
Let c(k) = -11*k**2 + 271*k - 980. Let q(j) = -j**3 - j**2 - 3*j - 2. Let w be q(0). Let i(a) = 3*a**2 - 68*a + 245. Let p(d) = w*c(d) - 9*i(d). Factor p(t).
-5*(t - 7)**2
Let t(h) be the third derivative of h**6/180 