4 - 5/4*y**4. Factor m(d).
-5*(d - 2)*(d - 1)**2
Let v(w) = 2*w**3 - 12*w**2 - 13*w + 7. Let x be v(10). Let z = 679 - x. Factor 2*l**3 + 2/3*l**4 - 4/3 - 2*l + 2/3*l**z.
2*(l - 1)*(l + 1)**2*(l + 2)/3
Let c(l) = 11*l**2 - 11357*l + 16131209. Let g(v) = 58*v**2 - 56784*v + 80656048. Let s(m) = -16*c(m) + 3*g(m). Factor s(d).
-2*(d - 2840)**2
Let n(i) be the third derivative of -i**4/24 + 13*i**3/6 + 4*i**2. Let g be n(10). Factor -6*s**3 - 12*s**2 + 32*s + 5*s**g + 32*s**2 + 5*s**3 + 16.
4*(s + 1)*(s + 2)**2
Find v, given that 26*v**4 - 1764*v - 26*v**2 - 22*v**3 + 1788*v + 70*v**5 - 72*v**5 = 0.
-1, 0, 1, 12
Factor 0*a**2 + 25*a + 25*a + 28*a + 3*a**2 - 2*a**2 + 152.
(a + 2)*(a + 76)
Let t(h) = -14455*h - 86728. Let m be t(-6). Determine i so that 2/3*i**m - 2/3*i**3 + 0 + 4/3*i = 0.
-1, 0, 2
Let g(h) be the first derivative of 55 - 845/2*h + 65/2*h**2 - 5/6*h**3. Factor g(k).
-5*(k - 13)**2/2
Let b = -461147/7 - -65879. Factor -b*f**4 + 2/7*f**5 + 0*f + 0 - 2/7*f**2 + 6/7*f**3.
2*f**2*(f - 1)**3/7
What is p in 3/5*p**2 - 18/5*p - 1173/5 = 0?
-17, 23
Let w(v) = -v**3 - 24*v**2 + 46*v - 129. Let l be w(-26). Let a be 0 + l/6*(-4)/(-6). Find y such that -a - 1/2*y**3 - 2*y**2 + 11/2*y = 0.
-6, 1
Determine g, given that -18050/9 - 2/9*g**3 - 382/9*g**2 - 18430/9*g = 0.
-95, -1
Factor -36963 - 1/3*z**2 - 222*z.
-(z + 333)**2/3
Let f(t) = -13*t**2 + 18*t - 25. Let a be 296/20 - 4 - 7/(-35). Let i(m) = -7*m**2 + 9*m - 12. Let l(b) = a*i(b) - 6*f(b). Determine q so that l(q) = 0.
3, 6
Let r be (66/(-180))/(110/(-50)). Determine j so that -r*j**2 - 3/2*j - 4/3 = 0.
-8, -1
Let y = 7 - 3. Factor -4*f**3 + 4*f**2 - 598 + y*f + 295 + 299.
-4*(f - 1)**2*(f + 1)
Let z(o) be the third derivative of 0 - o**3 + 0*o + 11/96*o**4 - 1/240*o**5 + 76*o**2. Solve z(u) = 0.
3, 8
Find s, given that -41078/3*s**3 - 2/3*s**5 + 360024*s**2 + 499/3*s**4 + 395136 + 973728*s = 0.
-2, -1/2, 84
Solve -56610*o**2 + 19855976 - 4734002*o - 1546/7*o**3 - 2/7*o**4 = 0.
-259, 4
Let z(b) = b**3 - 5*b**2. Let r be z(5). Suppose 87*u + 21 = 94*u. Find i such that r + 7 + u*i - 7 + 3*i**2 = 0.
-1, 0
Factor -5/7*l**3 - 255/7*l + 18*l**2 + 46/7.
-(l - 23)*(l - 2)*(5*l - 1)/7
Let b be (-92)/(-15) + -6 + 386/30. Suppose 4*z = b*z - 18. Determine u, given that 16/7*u - 12/7 + 3/7*u**z = 0.
-6, 2/3
Let g = -393 + 388. Let v be (-3)/(-10)*g/(-6). Find l, given that 2*l**2 - 1/2*l**3 - v - 1/2*l - 7/4*l**4 + l**5 = 0.
-1, -1/4, 1
Let r(s) be the third derivative of -s**8/840 - 16*s**7/525 + 4*s**6/15 - 8*s**5/75 - 76*s**4/15 + 64*s**3/3 + 462*s**2 + s. Solve r(g) = 0.
-20, -2, 2
Let x(v) = 18*v - 2 + 20*v + v**5 + v**4 - 38*v. Let b(y) = 80*y**5 - 135*y**4 + 55*y**3 + 10*y**2 - 10. Let w(p) = -b(p) + 5*x(p). Let w(u) = 0. What is u?
-2/15, 0, 1
Let a(m) be the third derivative of -m**7/210 + m**6/20 + 21*m**5/20 + 13*m**4/3 + 8*m**3 + 5*m**2 - 283. Find c such that a(c) = 0.
-4, -1, 12
Let h be (-9206)/(-1420) + 48 + -54. Let i = 6/355 + h. Factor i*j**2 - j + 0.
j*(j - 2)/2
Let b = -20 + 56. Suppose b*z**5 + 312*z**4 + 1498*z**2 - 1292*z**3 + 195*z**2 - 944*z + 3*z**2 + 192 = 0. Calculate z.
-12, 2/3, 1
Let l(z) = -246*z**2 + 19922*z + 324. Let u be l(81). Determine t so that -3/4*t**4 - 21/4*t**2 + u + 15/4*t**3 + 9/4*t = 0.
0, 1, 3
Let w(r) be the third derivative of r**6/780 + 7*r**5/78 + 67*r**4/156 + 11*r**3/13 + 1981*r**2. Factor w(f).
2*(f + 1)**2*(f + 33)/13
Let u(a) = -a**4 + 16*a**3 - 31*a**2 + 46*a. Let x(q) = q**3 + q**2 + 2*q. Let b(m) = -3*u(m) + 15*x(m). Factor b(y).
3*y*(y - 6)*(y - 3)*(y - 2)
Let n = -124 - -127. Factor 13*w**3 - 68*w + 32*w**2 - 7*w**3 + 31 + 9 - 10*w**n.
-4*(w - 5)*(w - 2)*(w - 1)
Let o(q) be the first derivative of 4*q**5/5 + 47*q**4 + 60*q**3 - 94*q**2 - 184*q + 1276. Factor o(c).
4*(c - 1)*(c + 1)**2*(c + 46)
Let s be (-23)/((-414)/24) - (-5)/210*52. Find z, given that -2/7*z**4 + 66/7*z**2 + 24/7 + s*z**3 + 10*z = 0.
-1, 12
Let n = 9 + -7. Let q(o) = -15*o**2 - 10*o - 9. Let z(v) = 2*v**2 - 1. Let s(p) = n*q(p) + 14*z(p). Factor s(f).
-2*(f + 2)*(f + 8)
Let n(t) = 13*t**4 + 110*t**3 + 1120*t**2 + 4870*t + 7495. Let k(o) = -2*o**4 - o**3 + o**2 + o + 1. Let r(z) = -5*k(z) - n(z). Factor r(l).
-3*(l + 5)**3*(l + 20)
Let b(f) = f**2 + 37*f - 80. Let i be b(-35). Let g be (-430)/i - -8 - (-2)/(-10). Determine r so that -100/9*r + 0 - 10/9*r**4 + g*r**3 - 70/3*r**2 = 0.
-2/5, 0, 5
Let t(l) be the first derivative of 3*l**4/4 + 32*l**3 - 210*l**2 + 432*l + 5519. Solve t(c) = 0 for c.
-36, 2
Let v = -237301/2 - -118652. Factor 3*c + 21/2*c**2 + 15/2*c**4 + v*c**5 + 27/2*c**3 + 0.
3*c*(c + 1)**3*(c + 2)/2
Let q = 791/3436 - -17/859. Let t(v) be the second derivative of 0 + 15/4*v**4 + 0*v**3 + 0*v**2 + q*v**5 + 46*v. Find y such that t(y) = 0.
-9, 0
Let p(d) be the second derivative of -d**5/120 - d**4/6 - 11*d**3/36 - 814*d. Factor p(j).
-j*(j + 1)*(j + 11)/6
Suppose -2324/9*t + 0 + 4/9*t**3 + 2320/9*t**2 = 0. Calculate t.
-581, 0, 1
Let f be (-3)/(3/(-1))*(-3 + 442/136). Let -1 + i**2 - f*i**3 + 1/4*i = 0. Calculate i.
-1, 1, 4
Let b(d) be the third derivative of -2/15*d**5 - 20*d**2 + 0*d**4 + 1/60*d**6 - 2*d + 0 + 0*d**3. Find s, given that b(s) = 0.
0, 4
Suppose 19*w - 28*w**2 - 158*w + 426 - 167*w - 2*w + w**3 + 294 = 0. Calculate w.
-10, 2, 36
Let r(o) be the third derivative of -o**6/60 + 157*o**5/15 - 25265*o**4/12 + 96100*o**3/3 - 2*o**2 - 11*o - 42. Factor r(j).
-2*(j - 155)**2*(j - 4)
Let a(q) = 4*q**2 - 642*q + 26256. Let b(f) = -16*f**2 + 2569*f - 105022. Let t(n) = -23*a(n) - 6*b(n). Factor t(x).
4*(x - 81)**2
Let d(m) = m + 4. Let r be d(-4). Suppose -254*q - 6629 + 7391 = 0. Factor 1/5*y**4 + 1/5*y**q + 0*y**2 + 0 + r*y.
y**3*(y + 1)/5
Let i(k) = -2*k - 6*k**2 + 0*k**2 + 65 + k**2 + 4*k**2 - 15. Let s be i(-8). Let -9/5*d + 3/5 + 9/5*d**s - 3/5*d**3 = 0. Calculate d.
1
Factor -6*r - 319/3 + 1/3*r**2.
(r - 29)*(r + 11)/3
Let z = 124191 + -124187. Determine n so that -2*n**3 + 0*n + 9/2*n**z + 5*n**5 + 0 - 3/2*n**2 = 0.
-1, -1/2, 0, 3/5
Suppose 3*n = 5*n - 10. Let j be 310/50 + (-1)/n. Let j*t**2 - 16*t**3 - 10*t - 6*t**4 - 8 + 7*t + 8*t + 19*t = 0. Calculate t.
-2, 1/3, 1
Suppose -5*y = -13*p + 18*p - 10, -2*y - 8 = -4*p. Let q be (-1)/(-2)*(y + 25) - 7. What is r in -3*r**4 + q*r**2 + 0 + r - 7/2*r**3 = 0?
-2, -1/6, 0, 1
Let j = -197/34 - 49865/102. Let q = j + 495. Factor 36*d + 6*d**2 + 72 + q*d**3.
(d + 6)**3/3
Let u(b) be the third derivative of b**5/60 - 1367*b**4/24 - 228*b**3 - 2*b**2 - 6*b - 338. Find y such that u(y) = 0.
-1, 1368
Let c(z) be the first derivative of z**3/12 - 27*z**2/2 - 2345. Factor c(w).
w*(w - 108)/4
Let z be ((-6)/9 + 0)/((-3)/(-9)). Let o be 105/7*((-5)/z + -2). Suppose o*t**5 + 3*t**2 + 0*t + 0 - 12*t**4 + 3/2*t**3 = 0. What is t?
-2/5, 0, 1
Suppose 17*o = 8*o + 1062. Suppose o*d - 111*d = 14. Solve -3/2 - 3/4*g**d + 9/4*g = 0.
1, 2
Let r be (3 + -2)*0/2. Let j = -1205812/5 + 241163. Factor r*l**2 + 0 + j*l**3 - 3/5*l.
3*l*(l - 1)*(l + 1)/5
Let j(o) = o**2 - 6*o - 3. Let m be j(7). Suppose -m*d - d - 2*a + 9 = 0, 0 = -5*a - 15. Factor -z**d - 5*z**3 - 4*z**4 + 0*z**3 - 2*z**3.
-4*z**3*(z + 2)
Let r(p) = -p**3 - 757*p**2 - 1455*p - 727. Let h(k) = -2*k**3 - 773*k**2 - 1456*k - 727. Let g(o) = -2*h(o) + 3*r(o). Factor g(u).
(u - 727)*(u + 1)**2
Factor 2/13*q**3 + 4998/13*q**2 + 1156019074/13 + 4163334/13*q.
2*(q + 833)**3/13
Let j be (-8160)/(-5508) + (-16)/108. Determine r, given that -2/3*r**4 - 96 + 16*r - j*r**3 + 46/3*r**2 = 0.
-4, 3
Solve 34/7*u**4 + 2/7*u**5 + 134/7*u**2 + 52/7*u + 0 + 114/7*u**3 = 0 for u.
-13, -2, -1, 0
Factor 5*t**3 - 1560 - 159*t**2 - 205*t + 1560 - 41*t**2.
5*t*(t - 41)*(t + 1)
Let g(r) be the first derivative of -r**3/18 - 11*r**2/6 + 8*r + 13073. Factor g(f).
-(f - 2)*(f + 24)/6
Determine s so that -25/4*s**5 + 420*s**2 - 120 + 15*s**4 + 905/4*s**3 + 95*s = 0.
-3, -2, -1, 2/5, 8
Let t(u) = 3*u - 1. Let n be t(5). Suppose 0 = -4*a + n - 2. Solve -5*f**3 - 5*f**3 - 5*f**3 + 17*f**a - 8*f = 0.
-2, 0, 2
Let p be ((-6)/7)/((-52)/91). Suppose -27*a + 78 = -2*a + 14*a. Solve -3/2*w - p*w**a + 0 = 0 for w.
-1, 0
Let o(j) be the third derivative of 6*j**2 - 72*j**3 + 0 + 10*j - 1/20*j**5 + 3*j**4. Factor o(g).
-3*(g - 12)**2
Let c(z) = z**2 + z - 16. Let h be c(4). Determine g, given tha