. Factor 96/7*y**2 + 6/7*y**5 + 48/7*y**n - 36/7*y**4 + 192/7 - 288/7*y.
6*(y - 2)**4*(y + 2)/7
Find m, given that -29*m**4 - 229*m - 193*m - 72 - 125*m - 738*m**2 - 315*m**3 + 127*m + 104*m**4 = 0.
-1, -2/5, 6
Let i be ((-36)/(-21))/(-3) - 192/(-42). Factor -6*f**4 + 13*f**4 + 14*f**2 - 3*f - 21*f**4 - i*f**3 + 7*f.
-2*f*(f - 1)*(f + 1)*(7*f + 2)
Let i be -6 - (-32)/7 - -2. Determine p so that -1/7*p**3 + p - i - 2/7*p**2 = 0.
-4, 1
Let v = -48 - -48. Let h = 52 - 50. Factor 1/2*k**4 + v*k**h + k - k**3 - 1/2.
(k - 1)**3*(k + 1)/2
Let w(s) be the third derivative of s**7/105 + s**6/30 - s**5/6 - s**4/2 + 51*s**2. Factor w(r).
2*r*(r - 2)*(r + 1)*(r + 3)
What is v in 8/3*v**4 + v + 0 - 29/6*v**2 + 8/3*v**3 = 0?
-2, 0, 1/4, 3/4
Let v(f) = 50*f**2 + 7*f - 3. Let l(y) = -452*y**2 - 60*y + 28. Let i(h) = -3*l(h) - 28*v(h). Factor i(n).
-4*n*(11*n + 4)
Let p(l) = -5*l**2 - 9*l - 7. Let y(d) = -3*d**2 - 5*d - 4. Let c(v) = 4*p(v) - 7*y(v). Let w be c(-1). Determine t so that -1/4*t**w + 0 + 1/4*t = 0.
0, 1
Let j(o) be the second derivative of 3*o**5/140 + 9*o**4/28 + 4*o**3/7 + 254*o. Determine k, given that j(k) = 0.
-8, -1, 0
Let g(i) be the third derivative of -i**6/1080 + i**5/90 - i**4/18 + 5*i**3/3 - 11*i**2. Let r(f) be the first derivative of g(f). Suppose r(y) = 0. What is y?
2
Suppose 5*l - 24 - 1 = 0. Determine q so that 6 - q**3 + 10 - 5*q**2 - 7*q**2 + l*q**3 = 0.
-1, 2
Suppose 3*v**2 + 3/4*v**4 + 0 + 0*v - 3*v**3 = 0. What is v?
0, 2
Find w such that -50*w + 5*w**2 + 204 - 79 + 0*w**2 = 0.
5
Let s = -14 + 10. Let j be (-6)/4*(s/9 - 0). Factor -j*u + 1/3 + 1/3*u**2.
(u - 1)**2/3
Find l such that 19891*l**3 - 4*l**2 - 2*l**4 - 28*l**4 - 19927*l**3 - 7*l**5 - 4*l**2 = 0.
-2, -2/7, 0
Suppose -5*w + 13 - 3 = 0. Suppose 5*v - 21 = w*d, 3*v - 6*v = -5*d - 5. Find b, given that 81*b**d + 3 - 32*b**2 - 108*b**3 - 39*b + 95*b**2 = 0.
1/6, 1
Let j(f) be the second derivative of 0 + 0*f**2 + 0*f**3 + 9*f - 1/30*f**4. Suppose j(p) = 0. What is p?
0
Let o(d) be the second derivative of d**7/147 - d**6/105 - d**5/7 - 4*d**4/21 + 82*d. Solve o(x) = 0.
-2, -1, 0, 4
Let n be (-240)/(-600) + ((-6)/6)/(5/2). Factor -2/5*z**3 + 6/5*z**2 - 4/5*z + n.
-2*z*(z - 2)*(z - 1)/5
Let g(s) be the first derivative of 9/5*s**2 + 0*s**3 - 3/10*s**4 + 17 - 12/5*s. Determine z so that g(z) = 0.
-2, 1
Let p(o) be the first derivative of 0*o**3 + 0*o + 1/4*o**4 + 0*o**2 - 25. Determine d, given that p(d) = 0.
0
Let d(s) be the first derivative of s**7/84 + s**6/30 + s**5/40 + 8*s + 9. Let q(o) be the first derivative of d(o). What is j in q(j) = 0?
-1, 0
Suppose -j - 10 = -15. Let 4*i**5 - 13*i**4 - j*i**2 - 16*i - 4*i**4 + 12*i**3 + 21*i**2 + i**4 = 0. What is i?
-1, 0, 1, 2
Suppose 0 = a + 3*d + 37, 5*d + 217 = -5*a + 2. Let i = a + 48. Determine f, given that f - 1 - 1/4*f**i = 0.
2
Let h(v) be the third derivative of -v**5/100 - 17*v**4/40 - 13*v**2. Find u, given that h(u) = 0.
-17, 0
Let h(k) = k**3 + 18*k**2 + 75*k + 21. Let a be h(-6). Factor 0 - 13/4*j**2 + 3/4*j - 3/4*j**4 + 13/4*j**a.
-j*(j - 3)*(j - 1)*(3*j - 1)/4
Factor -2/9*j**2 - 4/3 + 10/9*j.
-2*(j - 3)*(j - 2)/9
Let l(p) = 2*p - 2. Let k be 2/(-3)*6/(-2). Let y be l(k). Determine g, given that 2/7*g**3 - 4/7 - 2/7*g + 4/7*g**y = 0.
-2, -1, 1
Let z be 3/5 - ((-148)/(-5) + -1). Let y = -25 - z. Suppose 0 - 1/4*i**4 + 1/4*i**2 - 1/4*i**5 + 1/4*i**y + 0*i = 0. What is i?
-1, 0, 1
Let x be ((-3)/(-2))/(3/(-32)). Let r = x - -32. Let o**3 - 5*o - 9*o - 2*o - 5*o**3 + r*o**2 = 0. What is o?
0, 2
Let f(b) be the third derivative of b**5/6 + 343*b**4/12 - 46*b**3 + 64*b**2. Factor f(g).
2*(g + 69)*(5*g - 2)
Let p(l) be the first derivative of 19/14*l**2 - 2/35*l**5 - 1/42*l**6 + 6/7*l + 3/14*l**4 - 17 + 20/21*l**3. Find g, given that p(g) = 0.
-2, -1, 3
Let w(d) = 13*d**2 - 7*d - 1. Let r(t) = 2*t + 9. Let n be r(-4). Let i be w(n). Factor 4/15*m**4 + 0 - 4/15*m**2 + 0*m**3 - 2/15*m + 2/15*m**i.
2*m*(m - 1)*(m + 1)**3/15
Let x(y) = 20*y - 1075. Let g be x(54). Suppose 4/23*s + 0 - 10/23*s**2 + 6/23*s**3 - 2/23*s**g + 2/23*s**4 = 0. What is s?
-2, 0, 1
Suppose -4*v - p = -0 - 8, 0 = -4*v + 3*p - 8. Let f be 7 + 20/(-4) + 2. Solve 12*r - 4 + v - 5 - f*r**2 = 0 for r.
1, 2
Let g be (-12)/(-21)*135/180. Let -g*f**4 + 0 + 3*f**2 - 6/7*f**3 - 12/7*f = 0. What is f?
-4, 0, 1
Determine g so that 14*g**2 - 16 - 1/2*g**5 + 2*g**4 - 14*g + 29/2*g**3 = 0.
-2, -1, 1, 8
Let w = 149096/1293 - -10/431. Let i = 116 - w. Find l, given that -1/3 - 1/3*l**2 + i*l = 0.
1
Let h(q) be the first derivative of 7*q**5/6 + 15*q**4/8 - 40*q**3/9 - 234. Factor h(u).
5*u**2*(u - 1)*(7*u + 16)/6
Suppose -z + 21*z = -3120. Let b = z + 158. Factor 1/2*a**5 + 0*a**b + a**3 + 0 + 3/2*a**4 + 0*a.
a**3*(a + 1)*(a + 2)/2
Let b = 3912 + -3909. Factor 0 + 2/3*a**b - 2/3*a**2 - 4*a.
2*a*(a - 3)*(a + 2)/3
Suppose -367 = -5*n - 2*z, 0*z - 8 = 2*z. Determine a so that 35*a**3 + 45*a - 6*a**4 + 2*a**4 - a**4 - n*a**2 = 0.
0, 1, 3
Let w(k) = 4*k**2 + 128*k + 508. Let r(v) = -2*v**2 - 85*v - 337. Let x(o) = -8*r(o) - 5*w(o). Determine u so that x(u) = 0.
-3, 13
Let t(j) be the first derivative of -j**3 + 3/4*j**4 + 0*j**2 + 5 + 0*j. Solve t(p) = 0.
0, 1
Let r(n) be the third derivative of n**7/420 - n**6/48 + n**5/40 + 5*n**4/48 - n**3/3 + 19*n**2. Factor r(l).
(l - 4)*(l - 1)**2*(l + 1)/2
Let v(h) be the first derivative of h**6/900 - h**5/60 + h**4/10 - 10*h**3/3 + 33. Let g(d) be the third derivative of v(d). Factor g(t).
2*(t - 3)*(t - 2)/5
Let c(g) be the third derivative of -g**5/150 + g**4/30 - g**3/15 - 2*g**2 - 5. Solve c(m) = 0.
1
Let 1005 - 663*a**3 - 4*a**5 + 384*a - 108*a**4 - 512*a**2 - 301 + 199*a**3 = 0. Calculate a.
-22, -2, 1
Let t(s) be the first derivative of s**6/3 + s**5/2 + s**4/8 + 168. Factor t(y).
y**3*(y + 1)*(4*y + 1)/2
Let j be 9 + -7 - (915/(-108))/(-5). Let a = j - 1/18. Factor -1/2*o**2 - 3/4*o**3 + a*o**4 + 3*o - 2.
(o - 2)**2*(o - 1)*(o + 2)/4
Let b(d) = d**3 + 4*d**2 + d + 1. Let x be b(-2). Let h be 26/x - 2/(-7). Suppose -9*z**h - 2*z**2 + 5*z**3 - z**3 + 7*z**4 = 0. Calculate z.
0, 1
Let o be -1 - (63/(-35))/(5 - -1 - 5). Factor 0*y + o*y**2 + 0 - 1/5*y**4 + 0*y**3.
-y**2*(y - 2)*(y + 2)/5
Find y, given that 112*y**2 + 6*y + y - 7*y**2 - y = 0.
-2/35, 0
Let v(d) = 39*d**2 + 324*d + 4374. Let i(r) = -14*r**2 - 108*r - 1458. Let z(a) = 11*i(a) + 4*v(a). Factor z(g).
2*(g + 27)**2
Let k = 171/326 - 4/163. Let v(s) be the first derivative of -1/6*s**3 + 1/8*s**2 + k*s - 1/16*s**4 + 5. Factor v(c).
-(c - 1)*(c + 1)*(c + 2)/4
Suppose 15 = -0*t + t + 3*l, l - 33 = -5*t. Suppose -p - 4*n = -t, -n = -p - 3 + 4. Find j, given that 4*j**p + j + 2*j - 5*j - 5*j**2 = 0.
-2, 0
Let q(z) = 75*z**3 + 131*z**2 - 239*z + 81. Let h(l) = 375*l**3 + 654*l**2 - 1194*l + 405. Let r(a) = 4*h(a) - 21*q(a). Factor r(m).
-3*(m + 3)*(5*m - 3)**2
Let n(w) be the third derivative of w**8/168 - 169*w**7/105 + 3527*w**6/30 + 3697*w**5/15 - 7055*w**4/12 - 7225*w**3/3 - 442*w**2. Solve n(m) = 0.
-1, 1, 85
Let o(i) be the first derivative of -i**5/15 - 5*i**4/12 + 8*i**3/9 + 2*i**2 + 7. Factor o(t).
-t*(t - 2)*(t + 1)*(t + 6)/3
Solve 12*l - 47 - 36 - 3*l + 89 + 3*l**2 = 0 for l.
-2, -1
Let p be (-8)/(-1) - 3 - -2. Let -p*a**2 - 7*a**2 + 11*a**2 + 3*a**3 = 0. What is a?
0, 1
Let b(i) = 22*i**3 - 58*i**2 - 34*i + 62. Let q(t) = -81*t**3 + 231*t**2 + 137*t - 247. Let a(p) = -9*b(p) - 2*q(p). Factor a(r).
-4*(r + 1)*(3*r - 4)**2
Let s(a) = -2*a - 11 - 2*a - 9*a + 180. Let c be s(13). Factor c*g**2 + 0 - 3/4*g**4 + 1/2*g**3 + 0*g + 1/4*g**5.
g**3*(g - 2)*(g - 1)/4
Let a(l) be the first derivative of l**8/224 - l**7/70 + l**6/80 + 7*l**2/2 - 6. Let t(u) be the second derivative of a(u). Find d, given that t(d) = 0.
0, 1
Let g(m) = -2*m**5 - 2*m**4 + 6*m + 6. Let r(l) = -2*l**4 + l**3 + l**2 + 2. Let c(b) = -g(b) + 4*r(b). Factor c(y).
2*(y - 1)**4*(y + 1)
Let j = -659 + 659. Factor j + 0*k**2 + 2/3*k - 2/3*k**3.
-2*k*(k - 1)*(k + 1)/3
Let i = 37127/11610 - -5/2322. Find p, given that i*p**3 - 9/10*p**5 + 3/2*p**4 + 0*p + 0 + 6/5*p**2 = 0.
-2/3, 0, 3
Let t(q) = -113*q**3 - 112*q**2 + 8*q. Let x(h) be the first derivative of 19*h**4/2 + 37*h**3/3 - 3*h**2/2 - 26. Let z(k) = -2*t(k) - 7*x(k). Factor z(w).
-5*w*(w + 1)*(8*w - 1)
Let q be ((-22)/99)/(2/6)*102. Let