0*b**2 - 1/15*b**6. Let u(l) = 0. What is l?
-5, 0, 1
Factor -3/8*z**3 + 33/8*z**2 + 135/8 - 117/8*z.
-3*(z - 5)*(z - 3)**2/8
Let n(h) be the first derivative of 0*h + 1/780*h**6 + 0*h**3 + 1/195*h**5 - 15/2*h**2 + 10 - 1/52*h**4. Let q(m) be the second derivative of n(m). Factor q(y).
2*y*(y - 1)*(y + 3)/13
Let j(i) be the first derivative of 93 + 0*i**3 - 1/10*i**4 + 0*i + 0*i**2. Factor j(w).
-2*w**3/5
Suppose -3818 - 3665 = -3353*y - 1890 + 7819. Factor 2/13*a**5 + 6/13*a**y + 0*a**2 + 0 + 0*a + 0*a**3.
2*a**4*(a + 3)/13
Factor 35 - 16 - 53 + 186*x - 69 - 14 + 15*x**2.
3*(x + 13)*(5*x - 3)
Factor 3/4 - 17/8*h**2 + 49/8*h.
-(h - 3)*(17*h + 2)/8
Let w(i) be the first derivative of 0*i + 0*i**2 - 1/5*i**5 + 55 + 1/2*i**4 + 8/3*i**3. Factor w(x).
-x**2*(x - 4)*(x + 2)
Let j(y) be the third derivative of 0 - 107*y + 11/48*y**4 - 1/120*y**5 - 7/3*y**3 - 2*y**2. Factor j(k).
-(k - 7)*(k - 4)/2
Let y = 72299 - 72299. Suppose -2/7*o**2 + y + 26/7*o = 0. Calculate o.
0, 13
Let b(s) be the first derivative of -s**7/70 + 13*s**6/40 - 251*s**2/2 + 13. Let k(l) be the second derivative of b(l). Factor k(a).
-3*a**3*(a - 13)
Factor -12*p**3 + 0 - 1805/2*p - 1/4*p**4 - 741/4*p**2.
-p*(p + 10)*(p + 19)**2/4
Factor -80/3 + 4/9*a**2 + 68/9*a.
4*(a - 3)*(a + 20)/9
Let l(n) be the third derivative of n**6/540 - 23*n**5/18 + 13225*n**4/36 - 1520875*n**3/27 + n**2 - 3. Factor l(h).
2*(h - 115)**3/9
Let q(n) be the second derivative of 0*n**4 + 0*n**2 + 17*n - 3 + 15/2*n**3 - 1/4*n**5. What is b in q(b) = 0?
-3, 0, 3
Let k(z) be the third derivative of -z**5/270 + 539*z**4/108 - 538*z**3/27 - 428*z**2 - 9. Factor k(x).
-2*(x - 538)*(x - 1)/9
Suppose 46 = 3*d - 4*o, -18*o = -4*d - 16*o + 68. Suppose -d*i = -13*i. Factor -1 + 1/2*t**3 - 3/2*t + i*t**2.
(t - 2)*(t + 1)**2/2
What is w in 18*w**3 - 27*w**3 - 18*w**3 + 22*w**3 + 730*w**2 = 0?
0, 146
Let l(d) = -4*d**5 + 40*d**4 - 4*d**3 - 424*d**2 + 60. Let p(y) = 2*y**5 - 39*y**4 + 4*y**3 + 423*y**2 - 45. Let r(n) = -3*l(n) - 4*p(n). Factor r(v).
4*v**2*(v - 3)*(v + 5)*(v + 7)
Suppose -17*k + 3 = -16*k. Find y such that 76*y - 32*y**2 - 65 + 119 - 4*y**k - 94 = 0.
-10, 1
Let h(o) be the third derivative of 0 + 0*o + 0*o**5 - 1/2016*o**8 + 0*o**3 - 529/720*o**6 - 23/630*o**7 + 0*o**4 + 9*o**2. Factor h(b).
-b**3*(b + 23)**2/6
Let h(a) = -a**2 - a - 1. Let d(x) be the first derivative of -x**3/3 + 7*x**2/2 + 6*x - 8. Let l(q) = -d(q) + 2*h(q). Let l(f) = 0. What is f?
-8, -1
Let q(p) = 142*p + 73*p + 154 - 214 + 5*p**2. Let i(y) = 3*y**2 + 1. Let h(l) = -5*i(l) - q(l). Factor h(m).
-5*(m + 11)*(4*m - 1)
Suppose 0 = -5*o - 4*w - 20 + 5, 0 = 3*o + 5*w + 22. Let m be -2*o + (-13)/((-117)/36). Factor 6/5 + 1/5*j - 1/5*j**m.
-(j - 3)*(j + 2)/5
Let g(x) = 372*x**3 + 21129*x**2 - 41988*x + 20982. Let j(s) = -45*s**3 - 2641*s**2 + 5249*s - 2623. Let n(l) = 4*g(l) + 33*j(l). Find d such that n(d) = 0.
1, 877
Suppose -178/3*a + 5/6*a**3 + 32 + 19/2*a**2 = 0. Calculate a.
-16, 3/5, 4
Let m(d) be the first derivative of -68*d**5/5 - d**4 + 476*d**3/3 - 190*d**2 - 24*d + 1385. Solve m(q) = 0.
-3, -1/17, 1, 2
Let x be (36 - 39) + 23/4 + -2. Factor -3/4*v**2 + 3/4 - 3/4*v + x*v**3.
3*(v - 1)**2*(v + 1)/4
Let u(y) = -17 + 0*y - 4*y - 7*y - 15. Let c be u(-4). What is j in 9 - c*j - 2*j**2 - 9 = 0?
-6, 0
Let d(c) be the third derivative of -20 - 1/180*c**5 - 5/24*c**4 + 0*c - 2*c**2 - 2*c**3. Factor d(z).
-(z + 3)*(z + 12)/3
Let o(x) be the first derivative of -4*x**6/45 + 22*x**5/75 + 31*x**4/30 - 106*x**3/45 - 29*x**2/5 - 12*x/5 + 1339. Determine p so that o(p) = 0.
-2, -1, -1/4, 3
Suppose 702/7*j**2 - 2/7*j**4 + 0 + 568/7*j + 132/7*j**3 = 0. What is j?
-4, -1, 0, 71
Let h(y) be the second derivative of -y**4/24 - 697*y**3/12 + 349*y**2/2 - 3909*y. Factor h(w).
-(w - 1)*(w + 698)/2
Let b = -1103179 - -1103181. Find h, given that -12/5*h - 72/5 + 27*h**3 - 588/5*h**4 + 186*h**b + 147/5*h**5 = 0.
-1, -2/7, 2/7, 2, 3
Let n(q) = 96*q**2 - 10*q - 12. Let f be n(-2). Suppose -85*i**3 - 30*i - 5*i**5 - 328*i**2 - f*i**2 - 35*i**4 + 635*i**2 = 0. What is i?
-3, -2, -1, 0
Suppose 5*y - 30 = 4*a, 0 = -y - 3*y - 3*a - 7. Determine f so that -57*f**3 - 5 - 100*f**y + 15 + 35*f - 68*f**3 = 0.
-1, -1/5, 2/5
Let t(k) be the third derivative of k**5/60 - 7*k**4/12 - 47*k**3/6 - 16*k**2. Let x be t(17). Factor 48*w**3 + 3*w**5 + 48*w**3 - 93*w**3 - 3*w**4 - 3*w**x.
3*w**3*(w - 1)**2
Let i = 421/222 - 17/74. Let z(x) be the first derivative of 23 + i*x**3 + 0*x - 5/2*x**2. Factor z(g).
5*g*(g - 1)
Let g(u) be the first derivative of -1/39*u**6 - 14/65*u**5 + 9/26*u**4 + 0*u - 8/13*u**2 + 14/39*u**3 + 112. Suppose g(n) = 0. Calculate n.
-8, -1, 0, 1
Let c(n) = 5*n**3 + 22 - 9*n**2 - 7*n**2 + 8*n + 7. Let u(f) = 110 + 4*f**2 + 4*f + 3*f**3 - f**3 - 12*f**2 - 96. Let y(b) = 6*c(b) - 13*u(b). Factor y(t).
4*(t - 1)*(t + 1)*(t + 2)
Let m(c) = -6*c - 25. Let q be m(-6). Suppose 0 = 26*s + q*s - 74. Factor -1/5*k**s - 4/5 + 4/5*k.
-(k - 2)**2/5
Let f(g) be the first derivative of 0*g + 1/3*g**4 + 0*g**2 + 1/135*g**6 + 7/90*g**5 + 7 - 3*g**3. Let v(n) be the third derivative of f(n). Factor v(h).
4*(h + 2)*(2*h + 3)/3
Let c(a) be the first derivative of -a**3/4 + 63*a**2 - 249*a - 1770. Factor c(y).
-3*(y - 166)*(y - 2)/4
Let b(s) be the first derivative of 8*s**5/35 + 13*s**4/14 - 2*s**3/21 - 13*s**2/7 - 6*s/7 - 7866. What is n in b(n) = 0?
-3, -1, -1/4, 1
Suppose b + 2*r = -0*b + 1, -2*r + 21 = -3*b. Let z be (-22)/44*(1*-1 + b). Solve 2*y**3 - z*y - y + 0*y - y**5 + 3*y = 0.
-1, 0, 1
Let f(y) = -y**3 + y. Let p(n) = 27*n**2 - 27*n - 18. Suppose -h = 2*g, -4*g + 21 = 5*h + 27. Let v(b) = g*p(b) + 6*f(b). Factor v(m).
-3*(m - 3)*(m - 2)*(2*m + 1)
Suppose 0 = 314*s + 17408 - 18350. Determine d, given that 0*d**2 + 0*d**s + 2*d**4 + 2/7*d**5 + 0 + 0*d = 0.
-7, 0
Let m(j) = -j**2 + 118*j + 6125. Let b be m(-39). Solve 4/5*w**b - 4/5*w - 4/5 + 4/5*w**3 = 0 for w.
-1, 1
Let a(q) be the second derivative of q**4/54 - 281*q**3/27 - 566*q**2/9 - 4*q + 105. Let a(h) = 0. What is h?
-2, 283
Let 4624/7*b - 6/7*b**2 - 440 = 0. What is b?
2/3, 770
Let i(f) be the third derivative of -5*f**9/9072 + f**8/840 - f**7/2520 + 67*f**3/3 + 80*f**2. Let y(o) be the first derivative of i(o). Factor y(j).
-j**3*(j - 1)*(5*j - 1)/3
Let t(n) be the second derivative of 2/3*n**3 + 2/21*n**7 + 31*n - 4 - 2/5*n**5 - 2/3*n**4 + 2/15*n**6 + 2*n**2. Factor t(w).
4*(w - 1)**2*(w + 1)**3
Suppose -225*w + 28*w + 58 + 533 = 0. Factor -1/3*j**4 - 5*j**2 - 4/3 - 13/3*j - 7/3*j**w.
-(j + 1)**3*(j + 4)/3
Let j be ((-90)/(-70) + -1)*(-63)/(-54). Let v(l) be the second derivative of -2/5*l**5 + 2/15*l**6 + j*l**4 + 0*l**2 + 0*l**3 + 0 + 2*l. Factor v(x).
4*x**2*(x - 1)**2
Let y = 367 + -1826/5. Let v be -2*18/228 - (-300)/95. Factor 12/5 - y*g**2 + 0*g - 3/5*g**v.
-3*(g - 1)*(g + 2)**2/5
Let c = -558094 - -558096. Determine r, given that 0*r + 0*r**3 - 2/7*r**5 + 4/7*r**4 + 0*r**c + 0 = 0.
0, 2
Let z(t) = -69*t + 208. Let f be z(3). Let o(x) = -3*x**2 + 13*x - 42. Let g(d) = d**2. Let b(n) = f*o(n) + 2*g(n). Factor b(l).
-(l - 7)*(l - 6)
Suppose x - 2*t = 4331, -3*x + 16074 = -4*t + 3071. Factor 1493*d**2 - 2506*d**2 - 588*d**3 - x*d**2 - 1272 - 2960 - 18*d**4 - 9016*d.
-2*(d + 1)**2*(3*d + 46)**2
Let l(q) = q**3 - 3*q**2 + 1. Let o(f) = 35*f**3 + 171*f**2 + 12*f - 4. Let t(k) = 4*l(k) + o(k). Determine s so that t(s) = 0.
-4, -1/13, 0
Let s = 16 - 1. Suppose 2*w - k + 5 = s, 3*w - 1 = -2*k. Solve l**4 + 4*l**4 + 15*l**2 - 5*l - 13*l**w + 0*l**4 - 2*l**3 = 0.
0, 1
Suppose -10*q + 1 = -29. Let n(r) = -q*r - 6*r**2 - 2*r + 11*r**2 - r - 7. Let k(b) = -9*b**2 + 11*b + 13. Let f(m) = -4*k(m) - 7*n(m). Factor f(a).
(a - 3)*(a + 1)
Let u(q) be the second derivative of -7*q**5/50 - 71*q**4/30 - 2*q**3/3 + 840*q. Solve u(h) = 0 for h.
-10, -1/7, 0
Let s(h) = 2*h**4. Let b = 5 + -6. Let c(m) = -16*m**2. Let d(k) = b*c(k) - 2*s(k). Factor d(i).
-4*i**2*(i - 2)*(i + 2)
Factor -280*x**2 + 540*x**2 - 265*x**2 - 175*x - 480.
-5*(x + 3)*(x + 32)
Let j = 18110/11 - 72429/44. Factor j*d - 1/8*d**2 - 1/8*d**3 + 0.
-d*(d - 1)*(d + 2)/8
Let d(m) = -30*m**2 - 28*m + 67. Let i be d(-2). Let w(u) be the third derivative of -1/40*u**5 + 0 + 0*u + 1/8*u**4 + 13*u**2 + 3/4*u**i. Factor w(v).
-3*(v - 3)*(v + 1)/2
Suppose 