*x**2 + 0 + 16*x**4 + 18432/5*x = 0.
-24, 0, 4
Let a be (2 - 0/2) + -1 - 1. Let y be -2 + 4 - a/(-6 + 4). Determine o, given that -4 + 2*o**y - 466*o**3 - 2*o**5 + 474*o**3 - 6*o - o**2 + 3*o**2 = 0.
-1, 1, 2
Let b(g) be the second derivative of -g**7/28 + 2*g**6/5 - 21*g**5/40 - 20*g + 10. Let b(w) = 0. What is w?
0, 1, 7
Let x(m) be the first derivative of 4*m**3/3 - 28*m**2 + 52*m - 632. Let x(n) = 0. What is n?
1, 13
Let d = -2801596/11 + 254692. Suppose 30/11 - d*b + 2/11*b**2 = 0. What is b?
3, 5
Let s(n) = n**2 + 3*n + 4. Let p be s(-3). Let b be -9*p/12*-1. Determine x, given that x**b + 30 - 6*x**3 - 109*x**2 + 25*x + 99*x**2 = 0.
-3, -1, 2
Determine y, given that 1559*y + 10*y**5 - 2936*y**2 - 1656*y - 186*y**4 - 731*y**3 + 699*y**3 + 3361*y + 1664 - 1784*y**3 = 0.
-4, -2/5, 1, 26
Factor -362*q**2 - 131044*q + 0 - 1/4*q**3.
-q*(q + 724)**2/4
Let p be (-1 - 45) + (-6811220)/(-2613). Factor -4880/3*i + 6*i**4 - 244*i**3 + 800/3 + p*i**2.
2*(i - 20)**2*(3*i - 1)**2/3
Let g(d) be the third derivative of -d**5/30 + 49*d**4/2 + 297*d**3 + 4*d**2 - 1118. Let g(p) = 0. Calculate p.
-3, 297
Let w = 8/54883 - -219492/274415. Find n such that -2/5*n**2 + 2/5*n**4 + w*n - 4/5*n**3 + 0 = 0.
-1, 0, 1, 2
Let k(o) be the second derivative of 5*o**4/12 - 175*o**3/6 - 3534*o. What is s in k(s) = 0?
0, 35
Let q(w) be the second derivative of -1/5*w**5 + 1/15*w**6 - 18 - 4*w**2 - w - 1/2*w**4 + 8/3*w**3. Let q(k) = 0. Calculate k.
-2, 1, 2
Let g(k) be the first derivative of -k**4/2 + 14*k**3 + 126*k**2 + 208*k + 8651. Solve g(c) = 0.
-4, -1, 26
Find k such that 2073/2*k**4 - 36927*k**3 + 0 - 15/2*k**5 - 13872*k + 76704*k**2 = 0.
0, 1/5, 2, 68
Let i = 18/59 + -3521/12508. Let p = 369/2332 + i. Determine h, given that 0*h + p*h**2 - 2/11 = 0.
-1, 1
Let w(f) be the second derivative of f**4/24 + 7*f**3/4 - 65*f**2/2 - 1274*f. Factor w(r).
(r - 5)*(r + 26)/2
Let t = -4422/745 + 944/149. Factor t*h**3 + 0*h + 0 + 8/5*h**2.
2*h**2*(h + 4)/5
Let u(m) be the first derivative of 13/2*m**4 + 4*m**2 - 3/2*m**6 + 0*m - 28/3*m**3 + 3/5*m**5 - 76. Solve u(i) = 0 for i.
-2, 0, 2/3, 1
Determine m so that -1/2*m**4 + 7/2*m - 7/2*m**3 + 9/2*m**2 - 4 = 0.
-8, -1, 1
Let r(z) be the second derivative of -1/240*z**6 - 7/96*z**4 + 2*z + 1/20*z**5 + 0*z**3 + 0*z**2 + 2. Factor r(m).
-m**2*(m - 7)*(m - 1)/8
Suppose -474 = -20*l + 186. Let w be 10/15*(174/l - 5). What is p in -w*p + 24/11*p**5 + 0 - 2*p**3 - 14/11*p**2 + 14/11*p**4 = 0?
-1, -1/3, -1/4, 0, 1
Let v be (132 - 128) + (-11)/3. Let x(j) be the first derivative of -v*j**3 - 4*j - 25 + 5/2*j**2. Factor x(n).
-(n - 4)*(n - 1)
Let q(c) be the third derivative of -c**7/840 + c**6/480 + 31*c**5/60 - 91*c**4/24 + 10*c**3 - 1024*c**2. Solve q(s) = 0.
-12, 1, 2, 10
Let n(d) be the second derivative of 5*d**4/12 - 2065*d**3/3 + 852845*d**2/2 - 239*d. Factor n(c).
5*(c - 413)**2
Suppose i = 4*z - 30, -9 = -z + 7*i - 6*i. Suppose -3*x + k + 4 = 0, -3*x + z*k - 2 = 3*k. Solve 8/9 + 2/9*g**4 + 8/9*g - 2/3*g**x - 4/9*g**3 = 0 for g.
-1, 2
Suppose -36*h + 577531 = 577459. Factor 1/2*a**3 - h*a**2 + 0 + 2*a.
a*(a - 2)**2/2
Let z(m) be the third derivative of m**8/112 + m**7/105 - 91*m**6/120 + 43*m**5/10 - 61*m**4/6 + 28*m**3/3 - 19*m**2 - 33*m. Find v, given that z(v) = 0.
-7, 1/3, 2
Let u(q) be the first derivative of -q**3/9 - 275*q**2/6 + 456. Factor u(a).
-a*(a + 275)/3
Let h(l) be the first derivative of -8*l - 2*l**2 - 131 + 32/3*l**3 - 5*l**4. Solve h(m) = 0 for m.
-2/5, 1
Suppose z - 2*z + 9 = -1, -5 = 5*t - 2*z. Find d, given that 100/9 + 16*d**2 - 14/9*d**t - 130/3*d = 0.
2/7, 5
Suppose 0 = r + l - 9652, -48295 = -5*r - 0*r + 2*l. Factor 24*j**3 - 12*j**2 + r*j + 4*j**5 + 20*j**4 - 4*j**2 - 9689*j.
4*j*(j - 1)*(j + 2)**3
Let k(r) = r**3 + 6*r**2 + 7*r - 4. Let c be k(-4). Factor 27*z**3 + 0*z**2 + 4*z**4 + 273*z**3 - 64*z**4 + 3*z**5 + c*z**2.
3*z**3*(z - 10)**2
Let r(s) be the second derivative of -s**5/5 + 8*s**4/3 - 32*s**3/3 - 2623*s. Factor r(k).
-4*k*(k - 4)**2
Let a = 211/45060 + 9/751. Let n(v) be the third derivative of 6*v + 1/300*v**5 - 1/200*v**6 + a*v**4 + 0 - 2*v**2 + 0*v**3. Factor n(o).
-o*(o - 1)*(3*o + 2)/5
Let o(i) = i**2 + 95*i - 658. Let d(f) = 3*f**2 + 190*f - 1337. Let w(t) = -2*d(t) + 5*o(t). Factor w(g).
-(g - 88)*(g - 7)
Let b = 193 + -165. Let -32*o**3 + b*o**4 - 55*o**4 + 31*o**4 = 0. Calculate o.
0, 8
Suppose 3979*k - 4008*k = -58. Let g(h) be the first derivative of 0*h**3 + 0*h + 1/6*h**6 + 0*h**k - 9 + 0*h**5 - 1/4*h**4. Factor g(y).
y**3*(y - 1)*(y + 1)
Let x(k) be the third derivative of -51*k**2 + 0*k - 8*k**3 + 7/6*k**4 + 0 - 1/15*k**5. Solve x(b) = 0 for b.
3, 4
Let t(o) be the third derivative of -o**5/150 + 7*o**4/20 - 38*o**3/15 + 13*o**2 - 57. Suppose t(d) = 0. What is d?
2, 19
Let l(t) be the second derivative of t**7/252 - t**6/180 - t**5/3 + 14*t**4/9 - 1772*t. Factor l(y).
y**2*(y - 4)**2*(y + 7)/6
Let z be (-1 - 13/(-11))*31493/4908. Let c(d) be the first derivative of -z*d**3 + 1/8*d**4 - 22 - 9/2*d + 15/4*d**2. Factor c(q).
(q - 3)**2*(q - 1)/2
Let j(u) be the second derivative of -u**7/42 + 71*u**6/30 + 74*u**5/5 + 25*u**4 + 5351*u. Factor j(c).
-c**2*(c - 75)*(c + 2)**2
Factor 4/5*z**2 + 3334276/5 - 7304/5*z.
4*(z - 913)**2/5
Find q such that -21470/7*q - 398/7*q**2 - 162450/7 - 2/7*q**3 = 0.
-95, -9
What is s in -619*s - 25*s**2 - 576*s + 1298*s - 78 = 0?
1, 78/25
Suppose -3*p = -n + 8, -n - 4*p + 4 = -5*p. Factor 8*t - 24*t**2 + 4 + 26*t**n - 28.
2*(t - 2)*(t + 6)
Factor 5*o**4 + 4805*o**2 + 187*o**3 + 33*o**3 - 110*o**3 + 200*o**3.
5*o**2*(o + 31)**2
Factor 797*i - 130*i + 119*i - i**2 + 554*i + 3*i**2.
2*i*(i + 670)
Let q = 1354/11 - 659376/5357. Let m = q - -1457/974. Factor -9/2*x**3 + 9/2*x**2 - m*x + 3/2*x**4 + 0.
3*x*(x - 1)**3/2
Let j(p) = p**3 + 55*p**2 - 3536*p - 184. Let n be j(-93). Factor -22/9 + 2/9*o**n + 20/9*o.
2*(o - 1)*(o + 11)/9
Let -3600 - 75076/9*l**2 - 10960*l = 0. Calculate l.
-90/137
Let h(g) = 3*g**2 - 5*g - 4. Let r be h(-1). Let q be 39/(-143)*r/(-3). Factor 0*s - q*s**2 + 0 + 1/11*s**3.
s**2*(s - 4)/11
Let a(j) = 2*j**2 + 80*j + 222. Let q be a(-37). Solve 0 + 1/4*o**3 - o + q*o**2 = 0 for o.
-2, 0, 2
Let x = -2/3745 - -306/535. Let u be -7*1 - 1885/(-203). Factor -12/7*q**2 + x*q**3 + 0 - u*q.
4*q*(q - 4)*(q + 1)/7
Let s(f) be the third derivative of 1 + 2/7*f**4 - 1/20*f**5 - 37*f**2 + 0*f + 1/280*f**6 - 6/7*f**3. Factor s(g).
3*(g - 3)*(g - 2)**2/7
Let s(r) = 2*r + 172. Let f be s(-30). Let u be (-7 - f/133) + 9. Factor -10/19*l**3 - u*l + 26/19*l**2 + 6/19.
-2*(l - 1)**2*(5*l - 3)/19
Factor -59*v**3 + 40*v**2 - 10*v**4 + 592*v - 1156*v + 588*v + 5*v**3.
-2*v*(v - 1)*(v + 6)*(5*v + 2)
Let j(u) be the second derivative of -37/12*u**3 + 1/2*u**4 + 72*u + 1/28*u**7 + 5/2*u**2 - 11/30*u**6 + 0 + 17/20*u**5. Determine p so that j(p) = 0.
-1, 1/3, 1, 2, 5
Let i(d) = d**3 - 15*d + 5. Let x be i(5). Let 34*y - x*y**2 - 21*y + 37*y + 5*y**3 = 0. What is y?
0, 1, 10
Let 0 + 2/7*q + 2/7*q**3 - 4/7*q**2 = 0. What is q?
0, 1
Let t(k) be the second derivative of k**4/12 + 11*k**3/2 + 115*k**2 - 2*k - 102. Let t(w) = 0. Calculate w.
-23, -10
Let z(o) be the third derivative of o**7/70 + o**6/40 - o**5/2 - o**4/2 + 12*o**3 - 825*o**2. Find v, given that z(v) = 0.
-3, -2, 2
Let o be -4*((-40)/16 - -2). Factor -5*v**o + 25*v + 9*v**2 - 70*v**2 - 4*v**4 + 41*v**3 - 44*v**2.
-v*(v - 5)**2*(4*v - 1)
Let p = 26/1749 - -48634/22737. Factor -2/13*c**2 + 30/13 + p*c.
-2*(c - 15)*(c + 1)/13
Let b(y) be the third derivative of -2/15*y**5 + 8*y**3 - 4/21*y**7 - 1/84*y**8 + 0 + 109*y**2 - 23/6*y**4 + 0*y + 4/5*y**6. Factor b(c).
-4*(c - 1)**3*(c + 1)*(c + 12)
Suppose 0 = 158*m - 142*m - 48. Let u be (108/39 - m)/((-21)/28). Suppose -2/13*j**5 - u*j + 6/13*j**3 - 2/13*j**4 + 2/13*j**2 + 0 = 0. What is j?
-2, -1, 0, 1
Suppose -77*o + 80*o - 43 = -5*g, -34*o = 3*g - 219. Solve -30/7*x**2 - 3/7*x**g + 45/7*x**3 + 0*x**4 + 216/7 - 180/7*x = 0 for x.
-3, 2
Suppose 0 = -s + 9 - 4. Suppose s*d + 0*m = 3*m, -4*d + 5*m - 13 = 0. Factor -z + 4*z**3 - 12*z**2 - d*z + 7 + 5.
4*(z - 3)*(z - 1)*(z + 1)
Let j(h) be the first derivative of 0*h**2 + 3/16*h**4 - 1/20*h**5 + 30 - 1/8*h**6 + 1/12*h**3 + 0*h. Find w, given that j(w) = 0.
-1, -1/3, 0, 1
Suppose -75 = -12*y + 273. Solve 