6 + 83*a**3/48 + 41*a**2/16 + 12*a - 4. Factor x(m).
(m + 1)**2*(m + 41)/8
Let g be (486/(-567))/(26/(-56) - 1/4). Find m, given that -2/5*m**5 - 4/5*m**4 + 8/5*m**3 + 4/5*m**2 - g*m + 0 = 0.
-3, -1, 0, 1
Let w = -571/63 + 65/7. Factor -2/9*p - 4/9*p**2 + w*p**3 + 4/9.
2*(p - 2)*(p - 1)*(p + 1)/9
Let i(v) be the first derivative of -12 + 1/3*v**4 - 10/3*v**2 - 4*v - 4/9*v**3. Factor i(o).
4*(o - 3)*(o + 1)**2/3
Let i(b) be the second derivative of b**6/165 + 19*b**5/110 + 40*b**4/33 - 100*b**3/33 - 53*b. Factor i(l).
2*l*(l - 1)*(l + 10)**2/11
Suppose -18*m = -370 + 298. Find x such that -2*x**2 - 1/3 - 1/3*x**m + 4/3*x + 4/3*x**3 = 0.
1
Let f = -1634/3 + 545. Let b(y) be the first derivative of -y**2 + f*y**3 + 0*y + 6. What is t in b(t) = 0?
0, 2
Let o(c) be the first derivative of -c**6/60 + 3*c**5/20 + 7*c**4/24 + 54*c - 10. Let a(u) be the first derivative of o(u). Factor a(z).
-z**2*(z - 7)*(z + 1)/2
Let k = 371 + -490. Let s be (-4)/14 - 1224/k. Factor -s*x**4 - 48*x**3 - 32/5 - 368/5*x**2 - 192/5*x.
-2*(x + 2)**2*(5*x + 2)**2/5
Let d(m) be the third derivative of -m**7/1365 - m**6/780 + m**5/78 - m**4/52 + 20*m**2. Factor d(w).
-2*w*(w - 1)**2*(w + 3)/13
Let d(u) = u**3 + 2 - u**2 - 2 - u. Suppose 5*y - 6*y + 1 = 0. Let z(j) = 7*j**4 - 5*j**3 - 9*j**2 + 5*j - 2. Let x(p) = y*z(p) - 4*d(p). Factor x(m).
(m - 1)**2*(m + 1)*(7*m - 2)
Let a(r) be the first derivative of -r**3/3 - r**2/2 + 5. Let m(l) = l**3 - 5*l**2 + 10*l + 16. Let p(q) = -6*a(q) - 3*m(q). Suppose p(c) = 0. What is c?
-1, 4
Suppose 4*p = 8*p - 12. Suppose 4*b = -b + y + 21, 2*b - 5 = -p*y. Solve 3 + b*o**5 + o**4 - 3*o**5 - 3 = 0 for o.
-1, 0
Let y(g) be the third derivative of 7*g**5/60 + g**4/12 + g**3/6 + 9*g**2. Let h be y(-1). Factor 3*v**4 + 5 - h*v**3 - 5 - 3 + 6*v.
3*(v - 1)**3*(v + 1)
Suppose -6*v - 8 + 20 = -0*v. Factor 3/4 + 3/2*s + 3/4*s**v.
3*(s + 1)**2/4
Let w = -255/23 + 1553/138. Let b(d) be the second derivative of -2*d**2 - 4*d + 0 + d**3 - w*d**4. Suppose b(r) = 0. Calculate r.
1, 2
Factor 76 + 49 + 34*p**2 + 2*p**3 + 62*p - 95.
2*(p + 1)**2*(p + 15)
Let m(d) be the first derivative of -3*d**2 - 4 + 1/42*d**3 + 1/42*d**4 + 0*d + 1/140*d**5. Let h(c) be the second derivative of m(c). Solve h(z) = 0 for z.
-1, -1/3
Factor 69*g**4 - 65*g**4 + 100*g - 36*g**3 + 34*g**2 + 26*g**2.
4*g*(g - 5)**2*(g + 1)
Let n(s) be the second derivative of 5*s**7/63 + 44*s**6/135 - s**5/18 - 11*s**4/9 + 4*s**3/27 + 8*s**2/9 - 31*s. Let n(u) = 0. What is u?
-2, -1/3, 2/5, 1
Let r = 1 + 27. Suppose -4*s = -r - 8. Suppose -6 + 3*a**2 - 3*a**2 - s*a - 3*a**2 = 0. Calculate a.
-2, -1
Let y(g) be the first derivative of -5/3*g**2 - 2/9*g**3 - 38 - 8/3*g. Factor y(p).
-2*(p + 1)*(p + 4)/3
Let m(k) be the second derivative of -k**6/6 + k**5/10 + 5*k**4/4 - 8*k**3/3 + 2*k**2 + 3*k - 18. Suppose m(y) = 0. What is y?
-2, 2/5, 1
Let v = 8689 - 95571/11. Find w, given that 8/11*w + 0 - 6/11*w**5 - 14/11*w**3 + v*w**2 - 20/11*w**4 = 0.
-2, -1, 0, 2/3
Determine t so that -10*t**2 - 9*t**3 + 10*t**3 + 12*t**2 = 0.
-2, 0
Suppose 5*d = -3*x + 21, 12*d - 5 = 13*d - 4*x. Determine b so that -48/7*b**d + 44/7*b**2 - 4*b**4 + 48/7*b - 16/7 = 0.
-2, -1, 2/7, 1
Solve 124*z**2 - 136*z**2 + z - 4*z**4 - 12*z**3 - 5*z = 0 for z.
-1, 0
Let h(n) be the first derivative of n**6/15 + 6*n**5/25 + 3*n**4/10 + 2*n**3/15 - 165. Solve h(b) = 0.
-1, 0
Let m = -80 - -85. Factor 9*u**2 - 10*u**4 - 4*u**m - 14*u**2 - u**5 - 15*u**3 - 5*u**4.
-5*u**2*(u + 1)**3
Factor 0 + 8/11*g**3 + 4/11*g - 18/11*g**2.
2*g*(g - 2)*(4*g - 1)/11
Let v(r) = r**2 + r. Let a(o) = 2*o**2 + 5*o. Suppose -2 - 1 = 2*i + 5*q, 4*q - 24 = 5*i. Let h be i + (4 - 3) - -4. Let f(n) = h*a(n) - 5*v(n). Factor f(w).
-3*w**2
Suppose 0 = -4*b - 3*a + 26, -b - 4*b + 2*a + 44 = 0. Let n = 15 - b. Factor 18 + 9*z**2 + 11*z + z - n*z**2.
2*(z + 3)**2
Factor -46*g - 30*g**4 - 50*g + 66 + 12*g + 84*g**3 - 76*g**2 + 14 + 26*g**4.
-4*(g - 20)*(g - 1)**2*(g + 1)
Suppose -4*q = 5*t + 21, -2*q + 3*t = 25 + 2. Let h be (-3 - -1)*((-108)/(-8))/q. Let 0*s**h + 1/4*s**5 + 0*s**2 + 0*s + 0 + 1/4*s**4 = 0. What is s?
-1, 0
Find x such that 49*x + 1050*x + 4*x**2 + 60516 - 115*x = 0.
-123
Let m = -19 - -21. Suppose m*w - 7*w + 15 = 0. Factor 2*y - 15*y - 8*y**2 + 5*y - 2*y**w.
-2*y*(y + 2)**2
Let t be -4*(-9)/36*(2 + 2). Let h(s) be the first derivative of 2/3*s**2 + 2/3*s**5 + 7/3*s**t - 2/3*s + 8/3*s**3 - 7. Let h(k) = 0. Calculate k.
-1, 1/5
Let s be (-1300)/(-3016) - 2/(-29). Let t(c) be the second derivative of 6*c - 1/2*c**3 - 1/20*c**5 - 1/4*c**4 - s*c**2 + 0. Determine z, given that t(z) = 0.
-1
Suppose -4*i + 11 + 1 = 4*u, u + 2*i - 4 = 0. Factor 1/6 + 1/6*r**u - 1/3*r.
(r - 1)**2/6
Let n = 816/5 + -163. Factor -1/5*h**5 + 4/5*h**2 + 4/5*h**4 - n*h - 6/5*h**3 + 0.
-h*(h - 1)**4/5
Let u be 5 - 1 - 99/27. Factor 0*a + 0 - u*a**3 + 0*a**2.
-a**3/3
Let m be (-20)/8*4*(48/40)/(-6). Determine p so that 0 - 1/2*p**3 - 1/4*p**m + 0*p - 1/4*p**4 = 0.
-1, 0
Let g be (-1530)/(-14) + (320/56 - 6). Let v = -325/3 + g. Factor v*c**3 - 2/3*c - 4/9*c**2 + 4/9.
2*(c - 1)*(c + 1)*(3*c - 2)/9
Let h(b) = -25*b + 9*b + 16*b + 4*b**2 - 1. Let z be h(-6). Determine k, given that 12 - z*k**3 - 9*k**2 + 140*k**3 + 0*k**2 = 0.
-2, 1
Let k be (-1)/((-15)/(-18)*24/40). Let g be (7/((-63)/k))/((-1)/(-9)). Suppose -1/5*t**g - 3/5*t - 2/5 = 0. Calculate t.
-2, -1
Let w(g) be the third derivative of 4*g**7/315 + g**6/4 + 19*g**5/10 + 58*g**4/9 + 16*g**3/3 + 134*g**2. Let w(k) = 0. What is k?
-4, -3, -1/4
Let r = -20 + 23. Factor 13*t + 8 - 3*t**r - 11*t**3 + 5*t + 6*t - 18*t**2.
-2*(t - 1)*(t + 2)*(7*t + 2)
Let x(y) be the first derivative of 1/48*y**4 - 9/2*y**2 - 1/120*y**5 + 0*y + 0*y**3 + 8. Let t(c) be the second derivative of x(c). Factor t(s).
-s*(s - 1)/2
Let g(r) = r**2 + 95*r + 161. Let a(l) = 2*l**2 + 142*l + 241. Let f(q) = 5*a(q) - 7*g(q). Find c, given that f(c) = 0.
-13, -2
Solve -24/5 - 4/5*f + 28/5*f**2 + 4/5*f**3 - 4/5*f**4 = 0.
-2, -1, 1, 3
Let g(q) be the second derivative of -q**4/6 + 40*q**3 - 3600*q**2 + q - 31. Factor g(k).
-2*(k - 60)**2
Let r(w) be the third derivative of -w**8/28 + 2*w**7/21 + w**6/6 - w**5/3 - w**4/3 - 4*w**2 + 9*w. Solve r(t) = 0 for t.
-1, -1/3, 0, 1, 2
Suppose -2*r + 2*z + 4 = 0, z - 14 = -3*r - 0*z. Suppose -19 = -2*p + 3*q, -3*p + 18 = -4*p - r*q. Factor -2*j**4 + 7*j**2 + 6*j**3 + 0*j**4 - 4*j**p + 5*j**4.
3*j**2*(j + 1)**2
Let n = 13 - 13. Suppose -5*x + 30 = -3*q, n = 3*x + q - 5 + 1. What is w in 5*w**2 + x + w + 8*w + w**2 = 0?
-1, -1/2
Let z(g) be the second derivative of -g**7/42 - g**6/30 + g**5/20 + g**4/12 - 70*g. Determine c, given that z(c) = 0.
-1, 0, 1
Suppose 4*q - 25 - 1 = -2*c, 4*c = -5*q + 58. Factor -2*p**4 + p - 12*p**2 + c*p**2 + p**3 + p**4 + 2*p.
-p*(p - 3)*(p + 1)**2
Let j(s) be the second derivative of s**5/45 + 43*s**4/108 - 11*s**3/54 + 15*s - 1. Determine l, given that j(l) = 0.
-11, 0, 1/4
Let t(y) be the first derivative of y**4/48 - y**3/12 + y**2/8 + 4*y - 11. Let b(z) be the first derivative of t(z). Factor b(g).
(g - 1)**2/4
Let l(k) be the third derivative of -7*k**8/16 - 8*k**7 - 697*k**6/40 + 2671*k**5/10 - 707*k**4/2 + 196*k**3 + 49*k**2. Determine s, given that l(s) = 0.
-7, 2/7, 2
Solve 8/3*o + 4/3*o**3 + 2/3 + 10/3*o**2 = 0 for o.
-1, -1/2
Suppose 0*z + 3*w = -3*z + 6, -4 = -4*w. Let r(u) = u**3. Let d(v) = -119*v**3 - 44*v**2 - 4*v. Let p(a) = z*d(a) - 2*r(a). Factor p(s).
-s*(11*s + 2)**2
Let g be (-6)/24*0/(-2). Let w(q) be the second derivative of 1/90*q**6 - 1/12*q**4 - 1/9*q**3 + 0*q**5 + g + 0*q**2 + 7*q. Determine u, given that w(u) = 0.
-1, 0, 2
Let f(k) be the first derivative of -k**4/12 - 17*k**3/9 + 96. Factor f(w).
-w**2*(w + 17)/3
Suppose 0*b - b + 5 = 0. Let r be 4 - (8/2 - 3). Factor -2*d**r + b*d**3 - 4*d - 6*d**2 - d**3 + 8*d.
2*d*(d - 2)*(d - 1)
Let w be 20*(-14)/3*18/16. Let v = w + 108. Suppose 6/5 - 12/5*s**2 + 3*s + 6/5*s**4 + 3*s**5 - 6*s**v = 0. Calculate s.
-1, -2/5, 1
Let u = 489 + -1451/3. Suppose -x = 2*d + 6, -2*x + 15*d = 17*d + 2. Let 2/3*t**4 - x*t**3 + 8*t**2 + 0 - u*t = 0. What is t?
0, 2
Find g, given that -5/4*g**5 + 1060*g**2 + 1960 - 55/2*g**4 - 50*g**3 - 2660*g = 0.
-14, 2
Factor 5*i - 108*i**2 - 24*i**3 + 53*i - 2*i**4 - 292*i + 18*i - 162.
-2*(i + 3)**4