*g + 311*g**2 - 221*g**2 + 399*g**2 + 141*g**2 - 628 = 0.
-314, -1, 1
Factor -7*f**3 + 6*f + f + 5*f - 16 + 6*f**3.
-(f - 2)**2*(f + 4)
Determine a, given that -2400 + 724*a**2 - 181*a**2 - 292*a - 183*a**2 - 181*a**2 - 178*a**2 = 0.
-8, 300
Let y(g) be the first derivative of g**4/22 - 14*g**3/33 + 6*g**2/11 + 1136. Factor y(s).
2*s*(s - 6)*(s - 1)/11
Let h be ((-3058)/20)/(-11) + -20 + 11. Let n(b) be the third derivative of -1/100*b**5 - 7/20*b**4 - h*b**3 + 0*b + 0 - 25*b**2. Factor n(o).
-3*(o + 7)**2/5
Let q = -20 + 24. Suppose -q = -r - 0. Factor -3*u + 240*u**2 - 2 + 7*u**3 - 243*u**2 + 5*u**4 - r*u.
(u - 1)*(u + 1)**2*(5*u + 2)
Let y(f) be the first derivative of -f**4/22 - 1042*f**3/33 - 67599*f**2/11 + 136242*f/11 - 1326. Suppose y(c) = 0. Calculate c.
-261, 1
Let i be 312/10 - 6/5. Factor 250*o - 5*o**2 + 8*o**3 - 15*o**2 - 306*o + 2*o**4 - i + 0*o**4.
2*(o - 3)*(o + 1)**2*(o + 5)
Let l be (-8)/(-10) + (-1587)/1890. Let a = l + 577/252. Find h such that 3*h**3 - 21/4*h**2 - 3*h + 3 + a*h**4 = 0.
-2, -1, 2/3, 1
Let -3/7*n**2 + 360*n - 75600 = 0. What is n?
420
Let u = -16334 + 212350/13. Factor u - 6/13*n**3 - 16/13*n - 22/13*n**2.
-2*(n + 2)**2*(3*n - 1)/13
Let c(j) be the first derivative of -9/4*j - j**3 - 21/8*j**2 + 21. Factor c(s).
-3*(s + 1)*(4*s + 3)/4
Let i(j) be the second derivative of j**4/12 + 44*j**3/3 - 89*j**2/2 - 982*j. Factor i(a).
(a - 1)*(a + 89)
Suppose 222*n - 654 = 4*n. Let d(q) = q**3 + 3*q**2 - 4*q + 2. Let x be d(-4). Factor 0 + 9/2*t - 15/2*t**x - 1/2*t**4 + 7/2*t**n.
-t*(t - 3)**2*(t - 1)/2
Suppose 19*v + 17 - 53 = 40. Let z(x) be the second derivative of 0*x**2 - 3/2*x**3 + 0 + 20*x - 1/4*x**v. Factor z(j).
-3*j*(j + 3)
Let z(o) be the second derivative of -o**4/28 - 229*o**3 - 1101261*o**2/2 - 6396*o. Find a, given that z(a) = 0.
-1603
Let g be (0 + 30)*(-3 - (-35)/10). Suppose 3*d - 8*d + g = 0. Find l, given that 7*l**d + 2 - 2*l**5 + 2*l**4 - 4 + l**2 - 5*l - l**4 + 0 = 0.
-1, -1/2, 1, 2
Factor 340/9*l**3 + 0*l**2 - 88/9*l**4 + 0*l + 0 + 4/9*l**5.
4*l**3*(l - 17)*(l - 5)/9
Determine u, given that -8/3*u**3 + 3/2*u**4 - 8 + 40/3*u - 1/6*u**5 - 4*u**2 = 0.
-2, 1, 2, 6
Suppose -38*b = -4822 - 7490. Let q be (-29)/(1218/b) - -8. Factor -32/7*a + q*a**2 + 128/7.
2*(a - 8)**2/7
Let g(y) be the first derivative of 2*y**6/3 + 56*y**5/5 - 11*y**4 - 1696*y**3/3 + 1640*y**2 - 1600*y - 1048. Determine o, given that g(o) = 0.
-10, 1, 4
Let j(d) be the second derivative of 0*d**2 + 4/105*d**6 - 4*d - 5/21*d**4 + 11 + 1/35*d**5 + 4/21*d**3. Find v such that j(v) = 0.
-2, 0, 1/2, 1
Let w(d) be the third derivative of -2/21*d**3 + 2/35*d**6 + 0*d + 1 - 42*d**2 - 23/210*d**5 + 16/735*d**7 - 5/28*d**4. Determine m, given that w(m) = 0.
-2, -1/4, 1
Let k = -60544 + 60546. Find y, given that -1/2*y**k + 2*y - 2 = 0.
2
Suppose 15*r - 11*r - 408 = 0. Let b = 123 - r. Factor -428*y**2 + 526*y**2 + 2 + b*y + 7*y.
2*(7*y + 1)**2
Let i be -318 - (-2 + 0 + 4 + 1). Let h = 1287/4 + i. Factor 3/2*s**2 - 9/4*s + h*s**3 + 0.
3*s*(s - 1)*(s + 3)/4
Let 74/9*z**3 + 148/3*z**2 + 80*z + 2/9*z**4 + 0 = 0. Calculate z.
-30, -4, -3, 0
Let 3*d**3 + 7*d**2 - 6*d**3 + 814*d**2 - 15838*d + 17227*d + 565*d**2 = 0. What is d?
-1, 0, 463
Let r(n) = 129*n**3 - 254*n**2 - 404*n - 9. Let b(j) = -259*j**3 + 510*j**2 + 814*j + 17. Let w(t) = -3*b(t) - 7*r(t). Let w(o) = 0. What is o?
-1, -2/63, 3
Let v = 244 - 744. Let q = 5506/11 + v. Find n, given that 2/11*n**3 + 14/11*n + q + 10/11*n**2 = 0.
-3, -1
Let i(w) = -377*w**2 + 290*w + 3. Let x(r) = 126*r**2 - r - 1. Let n(f) = i(f) + 3*x(f). Solve n(m) = 0 for m.
-287, 0
Let i(w) = -4*w**5 + 6*w**4 - 4*w**3 + 2*w + 6. Let q = -2 + 2. Let o(j) = j**4 + q*j**4 + 8 - 2*j**4 + j**5 - 9. Let c(l) = -i(l) - 6*o(l). Factor c(y).
-2*y*(y - 1)**2*(y + 1)**2
Let t(c) be the third derivative of -c**8/224 - 17*c**7/140 - 7*c**6/40 + 53*c**5/4 - 561*c**4/16 - 1089*c**3/4 + 273*c**2. Let t(y) = 0. Calculate y.
-11, -1, 3
Suppose -735 = -40*l + 61 - 116. Let y(j) be the first derivative of 24/5*j + l + 4/5*j**2 + 2/45*j**3. Factor y(p).
2*(p + 6)**2/15
Let z(r) be the second derivative of r**6/45 + r**5/10 - 7*r**4/9 - 4*r**3/3 + 40*r**2/3 - 1027*r - 2. Solve z(c) = 0.
-5, -2, 2
Let g = -104 + 110. Suppose -10 = 5*u + 2*b, -3*b + g*b = u - 15. Let 4*j + 0*j - 6*j**3 + u*j**3 + 2*j**3 = 0. What is j?
-1, 0, 1
Let t(m) be the second derivative of 3*m**5/20 + 47*m**4/20 - 16*m**3/5 - 6*m**2 + 82*m. Determine k, given that t(k) = 0.
-10, -2/5, 1
Let a(s) be the first derivative of 24*s + 2/5*s**5 - 46/9*s**3 + 3/2*s**4 - 1/9*s**6 - 114 - 8*s**2. What is h in a(h) = 0?
-2, 1, 3
Suppose -5*g - 3*a + 3 = 0, 3*g = -9*a + 14*a + 29. Suppose -i**4 - 404*i**g - 144*i - 19*i**4 + 296*i**3 - 200*i**2 - 41 + 9 = 0. What is i?
-2, -1, -2/5
Let c(x) = -x**2 - 11*x - 15. Let b be c(-4). Find j, given that -54 + 84*j - b*j - 29*j - 15*j - 5*j**2 + 2*j**2 = 0.
3, 6
Let b(n) = 2*n**3 - n**2 - n. Let z(s) = -s**4 - 73*s**3 - 543*s**2 - 889*s + 4410. Let k(m) = -14*b(m) - z(m). Solve k(u) = 0 for u.
-21, -5, 2
Let k = -1943/6 - -5833/18. Find i such that 8/9*i**3 + k*i**4 - 20/9*i + 0 - 14/9*i**2 = 0.
-5, -1, 0, 2
Let a be (-115)/((-3)/6 - (-14)/(-70)). Factor 660/7*j**2 + 750/7*j**4 - a*j**3 - 24*j + 16/7.
2*(3*j - 1)*(5*j - 2)**3/7
Let h = -549 - -545. Let j be -5 - (h - 9 - -6). Factor -9/2*k**3 + 0 - 7/2*k**j + k.
-k*(k + 1)*(9*k - 2)/2
Suppose -37 = -2*r - 5*c, -3*r - 8*c + 43 = -3*c. Let m be 40/r - (-10)/(-15). Factor 4*z**4 - 9*z**2 - 7*z**2 - 8*z**2 + 16*z - m*z**3 + 32 + 2*z**3.
4*(z - 2)**2*(z + 1)*(z + 2)
Let v(l) be the second derivative of -27*l**5/10 + 153*l**4/2 + 216*l**3 + 220*l**2 - 3087*l. Determine b so that v(b) = 0.
-2/3, 55/3
Let s be ((-352)/384)/(22/(-4)). Let p(n) be the second derivative of 5*n + 2/3*n**3 + 0 + 0*n**2 + s*n**4. Factor p(o).
2*o*(o + 2)
Let x(b) = -b**3 - 18*b**2 + 138*b - 88. Let y be x(-24). Let j(f) be the first derivative of -2*f**4 + 62/3*f**3 - y*f**2 + 26 - 32*f. What is q in j(q) = 0?
-1/4, 4
Let i = 1767185 + -1767183. What is t in -1/5*t**i + 11/5*t + 0 = 0?
0, 11
Suppose 5*w = k - 5 + 4, 0 = 159*k - 154*k - 80. Factor 22/3 - 1/3*l**4 - 7/3*l**w + 13*l**2 - 53/3*l.
-(l - 2)*(l - 1)**2*(l + 11)/3
What is g in -1/9*g**2 + 572/9*g - 81796/9 = 0?
286
Suppose 4*f + 522*t - 444 = 526*t, 429 = 5*f - 14*t. Factor -1/5*d**2 - f - 10*d.
-(d + 25)**2/5
Let w be 270/99 + (-6)/(-22). Let m(a) be the third derivative of 0 - 2*a**2 + 0*a + 1/30*a**5 - w*a**3 + 0*a**4. Factor m(x).
2*(x - 3)*(x + 3)
Let d(m) = -5*m**4 - 55*m**3 + 290*m**2 - 545*m + 365. Let t(p) = 2*p**4 - 2*p**3 + p - 1. Let l(w) = d(w) + 5*t(w). Solve l(f) = 0 for f.
2, 3, 6
Suppose -f + u + 46 = 40, 10 = -f - 3*u. Let h(v) be the first derivative of 0*v + 18 - 117*v**4 - 324/5*v**5 - 8*v**f - 160/3*v**3. Factor h(m).
-4*m*(m + 1)*(9*m + 2)**2
Determine w, given that 3/5*w**3 - 582/5*w**2 + 0 + 28227/5*w = 0.
0, 97
Suppose -t - 3*b + 94 = 2*b, 0 = -3*t - 5*b + 232. Suppose 320 + 85*y + 5*y**2 - t*y + 64*y = 0. Calculate y.
-8
Let x**4 - 5064*x - 5*x**3 + 5064*x = 0. Calculate x.
0, 5
Let i(d) = 33*d**2 - 44*d + 82. Let n(c) = -28*c**2 + 44*c - 84. Let o(b) = -6*i(b) - 7*n(b). Solve o(a) = 0 for a.
-24, 2
Factor 4*p**2 + 127*p + 13866*p**3 - 130 + 13867*p**3 - 27734*p**3.
-(p - 13)*(p - 1)*(p + 10)
Let i be (37 - (62 + -27))/(2/4). Factor -t**2 - 3/4*t + 0 + t**i + 1/4*t**5 + 1/2*t**3.
t*(t - 1)*(t + 1)**2*(t + 3)/4
Let t(b) be the second derivative of -1/2*b**2 - 12*b + 0*b**3 - 1/32*b**4 + 0 + 1/240*b**5. Let z(f) be the first derivative of t(f). Factor z(u).
u*(u - 3)/4
Let d(y) be the second derivative of -y**6/1350 + y**5/900 + y**4/180 + 5*y**3/2 + 37*y. Let g(r) be the second derivative of d(r). Factor g(c).
-2*(c - 1)*(2*c + 1)/15
Factor 432/7*h + 2/7*h**2 + 856/7.
2*(h + 2)*(h + 214)/7
Determine n, given that 192/13 + 106/13*n**3 + 218/13*n**2 - 40*n + 4/13*n**4 = 0.
-24, -4, 1/2, 1
What is q in 524*q + 281 + 145 + 49 - 5*q**2 - 54*q = 0?
-1, 95
Suppose -130 = -72*a + 67*a. Suppose -20*m + 18*m = -a. Suppose -8*g**3 + m*g**3 - 6*g**3 + g = 0. Calculate g.
-1, 0, 1
Let h(r) be the first derivative of -r**5 + 5*r**3/3 - 294. Factor h(d).
-5*d**2*(d - 1)*(d + 1)
Let m(s) be the third derivative of 0*s - 15*s**2 + 3 + 1/120*