1944/7*y - 3888/7 + 81/7*y**3 + 3/7*y**5 + 1917/7*y**2 - 57/7*y**4 = 0. Calculate y.
-3, 1, 12
Let l(w) = 22*w**3 - 16*w**4 + 2*w**5 + 4*w**3 - 32*w**2 + 12*w**3 + 2*w**2. Let h(u) = -u**3 + u**2. Let o(g) = 2*h(g) - l(g). Factor o(r).
-2*r**2*(r - 4)*(r - 2)**2
Factor -2009/4*q - 1/4*q**3 + 1681 + 43/2*q**2.
-(q - 41)**2*(q - 4)/4
Suppose 2/3*u**3 + 4/9*u**2 + 0 + 1/9*u**5 + 4/9*u**4 + 1/9*u = 0. Calculate u.
-1, 0
Factor -10228*q**2 - 520*q**3 - 810 - 1963 - 7*q**4 - 2411 - 21024*q.
-(q + 2)*(q + 36)**2*(7*q + 2)
Suppose 2*w + 222 = -4*m, -3*w = -3*m + 4 - 157. Let u = m - -56. What is o in 2*o + 8*o - 5*o**u + 22 - 7 = 0?
-1, 3
Let m(i) be the first derivative of i**5/15 - 40*i**4/3 + 3200*i**3/3 - 11*i**2 + 2*i - 62. Let w(k) be the second derivative of m(k). Factor w(f).
4*(f - 40)**2
Let r(v) = -7*v**4 - 29*v**3 + 18*v**2 - 12. Let d(t) = 13*t**4 + 59*t**3 - 39*t**2 + 22. Let z(u) = -6*d(u) - 11*r(u). Factor z(g).
-g**2*(g - 1)*(g + 36)
Let u(w) = w**3 + 23*w**2 - 28*w - 100. Let x be u(-24). Let p be 4 + x - (-15)/20. Find o such that 0 + 3*o**3 + 9/4*o**2 + 0*o + p*o**4 = 0.
-3, -1, 0
Let v = -938 - -941. Solve -12 + 193*f**2 + 147*f - 268*f**2 + f**v - 61 = 0 for f.
1, 73
Let b(p) = -15*p**2 + 7235*p + 14025. Let x(i) = -7*i**2 + 3593*i + 7012. Let w(o) = 2*b(o) - 5*x(o). Solve w(u) = 0.
-2, 701
Let v(u) be the first derivative of -u**6/420 + u**5/70 - u**4/28 + u**3/21 + 12*u**2 + u - 16. Let g(z) be the second derivative of v(z). Factor g(w).
-2*(w - 1)**3/7
Let h(c) = -7*c**3 - 160*c**2 + 7*c + 157. Let u(s) = -6*s**2 - 158 + 31*s**2 - 6*s + 48*s**2 + 87*s**2 + 6*s**3. Let m(r) = 2*h(r) + 3*u(r). Factor m(p).
4*(p - 1)*(p + 1)*(p + 40)
Let n = 17937/7 - 2562. Factor 0 - 6/7*p - n*p**3 - 9/7*p**2.
-3*p*(p + 1)*(p + 2)/7
Let z(r) be the third derivative of -r**7/840 + 11*r**5/240 - 3*r**4/16 + r**3/3 + 579*r**2 - 1. Factor z(k).
-(k - 2)*(k - 1)**2*(k + 4)/4
Let g be ((-1)/(-23))/(208/1196). Factor 255/4*x - 289/4 + 33/4*x**2 + g*x**3.
(x - 1)*(x + 17)**2/4
Let h(b) be the second derivative of 0*b**2 + 49*b + 1 + 5/3*b**3 + 25/12*b**4. Factor h(q).
5*q*(5*q + 2)
Let d(s) be the first derivative of -1318*s**3/3 + s**2 - 62. Find m, given that d(m) = 0.
0, 1/659
Let d(f) be the first derivative of -5*f**3/3 - 505*f**2 - 1046. Let d(k) = 0. Calculate k.
-202, 0
Find g such that 1008*g**3 + 5*g**5 - 4881*g**2 - 4*g**5 + 561*g**2 + 6912*g + 3*g**5 - 92*g**4 - 12*g**4 = 0.
0, 6, 8
Let m(k) = 35*k**3 - 95*k**2 + 40*k - 40. Let o(s) = -9*s**3 + 24*s**2 - 9*s + 10. Let q(d) = -4*m(d) - 15*o(d). Factor q(r).
-5*(r - 2)*(r - 1)**2
Let a be (-96)/(-88) - (-4 + 141/99). Determine x, given that 0 + 1/3*x**3 + 10/3*x - a*x**2 = 0.
0, 1, 10
Let i(o) be the third derivative of -o**6/60 + o**5/5 + 5*o**4/4 + 8*o**3/3 + 231*o**2. Find g such that i(g) = 0.
-1, 8
What is g in -3/5*g**2 + 1062/5 - 1059/5*g = 0?
-354, 1
Factor 4/9*g - 5*g**2 + 0 + 5*g**4 - 4/9*g**3.
g*(g - 1)*(g + 1)*(45*g - 4)/9
Suppose -281 = -d - 272. Determine u, given that 5*u**2 + d - 26 - 1 - 3*u**2 = 0.
-3, 3
Let s(b) = -b**3 - 29*b**2 + 210*b + 4. Let x(o) = o**3 - 6*o**2 + 1. Let u(k) = -s(k) + 4*x(k). Find m, given that u(m) = 0.
-7, 0, 6
Let h(p) = 2*p**3 - 476*p**2 - 16083*p + 808. Let q be h(268). Let v = 8 - 5. Solve 0 + 15/2*r**q - 15/2*r**2 - 3*r + v*r**3 = 0.
-1, -2/5, 0, 1
Suppose 41*v - 24 = 45*v, 3 = 3*t + v. Factor 4/5*w**t - 4/5*w**4 + 0*w + 0 + 48/5*w**2.
-4*w**2*(w - 4)*(w + 3)/5
Let i(p) be the second derivative of -56/3*p**3 + 32/15*p**6 + 23/5*p**5 + 2/7*p**7 - 2*p**4 + 0 + 94*p - 16*p**2. Factor i(f).
4*(f - 1)*(f + 2)**3*(3*f + 1)
Factor -177*a + 4172 - 379*a - 112*a**2 + 108*a**2 - 12*a.
-4*(a - 7)*(a + 149)
Suppose -3*a - 4*r = -85, 0 = 4*a - r + 3*r - 100. Let h be (a/9 - 2)/((-95)/(-798)). What is g in -h*g - 2/3*g**2 - 4 = 0?
-6, -1
Let z(s) be the third derivative of 6*s**2 + 0 + 0*s + 7/3*s**3 + 1/180*s**6 + 1/60*s**5 + 0*s**4. Let i(c) be the first derivative of z(c). Factor i(f).
2*f*(f + 1)
Let c(i) = -15*i - 582. Suppose 0 = 32*r - 20*r + 468. Let k be c(r). Factor 0*z - 104/9*z**k - 140/9*z**4 - 16/9*z**2 + 0 + 98/9*z**5.
2*z**2*(z - 2)*(7*z + 2)**2/9
Find h such that 585 - h**3 + h - 257 - 11*h**2 - 317 = 0.
-11, -1, 1
Factor -307*b**3 + 4*b**5 - 236*b - 85 - 31 + 225*b**3 + 314*b**3 - 8*b**2 + 124*b**4.
4*(b - 1)*(b + 1)**3*(b + 29)
Let b(g) = -8*g + 228. Let l be b(28). Solve 37*a**2 + 7*a - 15 - 31*a**2 - 7*a**3 + 13*a**2 - 3 - a**l = 0 for a.
-9, -1, 1, 2
Let k = 156450 + -156448. Factor v + 3/4*v**k - 1.
(v + 2)*(3*v - 2)/4
Let h be (-3 + 1)*15/(-6). Let p be ((-196)/35)/((-2)/h). Find c such that 10 - 36 + 25*c**2 - 30*c + p + 17 = 0.
1/5, 1
Let p(c) be the third derivative of c**7/245 + 67*c**6/420 + 19*c**5/30 - 143*c**4/84 - 20*c**3/7 - c**2 + 21*c - 6. Solve p(u) = 0 for u.
-20, -3, -1/3, 1
Let x be ((-21)/49)/(891/(-154)). Let h(t) be the first derivative of 0*t**2 - x*t**3 + 15 + 2/9*t. Determine v, given that h(v) = 0.
-1, 1
Suppose -3303/2*q**3 + 0 - 7689/2*q**2 + 1815*q - 15/2*q**5 - 399/2*q**4 = 0. Calculate q.
-11, -5, 0, 2/5
Let r = 3 - -37. Let k = r + -38. Determine t so that 3 + 3*t - 2*t + t**k - 7 + 2*t = 0.
-4, 1
Factor 72/11*d + 146/11*d**2 + 0 + 4/11*d**3.
2*d*(d + 36)*(2*d + 1)/11
Suppose -68*p + 708 = 50*p. Suppose 2*s - 4 = 2*r - 4*r, -4 = -3*r - 5*s. Find z, given that -8*z**3 + 2 + 10*z**2 + r*z - 21*z + p*z**2 + 8*z = 0.
1/2, 1
Suppose 4*s = -32260 + 32284. Factor -1/4*n**4 - 9/4 - 11/2*n**2 + s*n + 2*n**3.
-(n - 3)**2*(n - 1)**2/4
Find z such that -660*z**2 + 410*z**3 + 200*z - 114*z**5 - 15*z**4 - 140*z**5 + 360*z**5 - 131*z**5 = 0.
-5, 0, 2/5, 2
Let h = 52827 + -52824. Factor 32*r**2 + 56/3 + 20/3*r**h + 44*r.
4*(r + 1)**2*(5*r + 14)/3
Let u(j) = -11*j + 12. Let l be u(0). Suppose -48*c + 44*c + l = 0. Let -6/7*g**2 - 3/7*g**c + 3*g - 12/7 = 0. Calculate g.
-4, 1
Factor 177/4*u - 215/4 - 1/4*u**3 + 39/4*u**2.
-(u - 43)*(u - 1)*(u + 5)/4
Let k be 4/(-108)*(-22)/88*108. Factor k - 1/3*c**2 + 2/3*c.
-(c - 3)*(c + 1)/3
Let k = 550 - 547. Suppose -137*i**3 + 540*i**2 - 64*i**4 + 249*i + 141*i - 82*i + 40 - 87*i**k = 0. What is i?
-5, -1/4, 2
Let y(f) be the third derivative of 0*f + 2/39*f**3 + 0 + 1/390*f**5 - 104*f**2 + 1/52*f**4. Factor y(m).
2*(m + 1)*(m + 2)/13
Let v = -461603 + 1384813/3. Solve -v*b + 10/9 + 2/9*b**2 = 0 for b.
1, 5
Let i(v) be the first derivative of 1/6*v**4 + 0*v**3 - 4*v - v**2 + 8. Let s(h) be the first derivative of i(h). Let s(q) = 0. What is q?
-1, 1
Let c(m) = -9*m**3 + 10*m**2 + 9*m - 8. Let v be (-19 + 24)*(-6)/(-10). Let j(s) = 11*s**3 - 10*s**2 - 11*s + 7. Let p(l) = v*c(l) + 2*j(l). Factor p(q).
-5*(q - 2)*(q - 1)*(q + 1)
Let o be 0 + (-2)/(-8) + 159/(-588). Let x = 779/245 - o. Suppose -12/5*i + x + 2/5*i**2 = 0. What is i?
2, 4
Let i(p) be the first derivative of p**7/35 - p**6/8 + p**5/20 + p**4/4 + 19*p**2/2 - 123. Let y(v) be the second derivative of i(v). Factor y(a).
3*a*(a - 2)*(a - 1)*(2*a + 1)
Let w be ((-188331)/(-1573) - 121)/((-12)/11). Factor 1/3*i**4 + 0 + i - w*i**2 - 11/6*i**3.
i*(i - 6)*(i + 1)*(2*i - 1)/6
Let b(c) = 281*c - 6182. Let g be b(22). Factor g + 1/7*i**2 - 4/7*i.
i*(i - 4)/7
Suppose 0 = -5*z + 2*v - 8, -4*v + 22 - 6 = z. Let k be 16/40 + (0 - z). Factor -2/5*x**2 + 8/5*x**3 - 8/5*x + k.
2*(x - 1)*(x + 1)*(4*x - 1)/5
Suppose -2*m**4 - 63*m - 5*m**3 + 3*m**5 - 81*m + 23*m**4 - 4*m**3 - 69*m**2 + 102*m = 0. Calculate m.
-7, -1, 0, 2
Suppose 107*j + 4 = 108*j. Let 26*q**4 + 3*q + q**3 - 27*q**4 - j*q + q**2 = 0. What is q?
-1, 0, 1
Let j(a) be the second derivative of 5*a**4/12 + 19315*a**3/3 + 74613845*a**2/2 + 21*a + 114. Suppose j(w) = 0. Calculate w.
-3863
Factor 16/5*r - 7/5*r**3 - 1/5*r**4 + 0 - 8/5*r**2.
-r*(r - 1)*(r + 4)**2/5
Let c = -365221 - -365222. What is s in -2/3*s - 1/3*s**2 + c = 0?
-3, 1
Let g(n) be the first derivative of -n**7/189 + n**5/9 - 10*n**4/27 + 5*n**3/9 - 4*n**2/9 - 63*n + 44. Let j(t) be the first derivative of g(t). Factor j(l).
-2*(l - 1)**4*(l + 4)/9
Suppose 269*g = 93 + 983. Let u(m) be the third derivative of 0*m + 0*m**3 - 1/270*m**5 + 0 - 1/18*m**g + 2*m**2. Factor u(f).
-2*f*(f + 6)/9
Let k(y) be the second derivative of -y**7/126 + 7*y**6/10 + y**5/60 - 7*y**4/4 + 3997*y. Solve k(t) = 0.
-1, 0, 1, 63
Let h be 