6/39 - 6*v**5/65 - 5*v**4/13 + 8*v**3/3 - 72*v**2/13 + 64*v/13 + 263. Solve m(b) = 0.
-4, 1, 2
Suppose 660*k - 675*k = -60. Find d, given that -56/11*d**2 + k*d**3 + 34/11*d - 16/11*d**4 - 8/11 + 2/11*d**5 = 0.
1, 4
Let v(m) = -480*m**4 - 8616*m**3 - 386*m**2 + 594*m + 68. Let o(y) = 2*y**4 - 2*y**3 - y**2 + y. Let n(t) = 12*o(t) - v(t). Find i, given that n(i) = 0.
-17, -1/6, 2/7
Let 184/7 - 12*m - 4/7*m**2 = 0. What is m?
-23, 2
Let k(p) be the first derivative of p**5/12 - 23*p**4/24 - 5*p**3/3 - 5*p**2/2 - 6*p - 4. Let h(c) be the second derivative of k(c). Factor h(r).
(r - 5)*(5*r + 2)
Let k(h) be the first derivative of -h**4/2 + 2*h**3/3 - 5. What is r in k(r) = 0?
0, 1
Suppose -c = 47 + 23. Let w be 2/3*-6 - c/15. Find i, given that -2*i**3 - 8/3*i**2 + 4/3 + w*i = 0.
-1, 2/3
Let a(x) be the first derivative of -x**6/540 - x**5/270 + x**4/54 + 8*x**2 + 17. Let z(m) be the second derivative of a(m). Factor z(c).
-2*c*(c - 1)*(c + 2)/9
Let u(q) = 11*q**4 - 281*q**3 - 874*q**2 - 876*q - 294. Let w(j) = 16*j**4 - 421*j**3 - 1310*j**2 - 1314*j - 441. Let k(i) = -7*u(i) + 5*w(i). Factor k(h).
3*(h - 49)*(h + 1)**3
Let c = -7349 - -36534/5. Let f = -41 - c. Factor 4/5 + 2/5*l**2 - f*l.
2*(l - 2)*(l - 1)/5
Factor f**3 - 4*f**2 - 1/2*f**5 - 1 + 7/2*f + f**4.
-(f - 1)**4*(f + 2)/2
Let r(g) be the first derivative of -2*g**3/3 + 25*g**2 + 153. Suppose r(d) = 0. Calculate d.
0, 25
Let g(h) be the third derivative of -h**6/210 + 2*h**5/105 + 8*h**4/21 - 64*h**3/21 - 429*h**2. Factor g(m).
-4*(m - 4)*(m - 2)*(m + 4)/7
Factor -10/3 + 2*v**2 - 4/3*v.
2*(v + 1)*(3*v - 5)/3
Suppose 0 = -4*m - 1 + 5. Let h be m/(-4) + 49/(-28) - -13. Determine a so that -h*a**3 - 2/3*a + 5*a**2 + 20/3*a**4 + 0 = 0.
0, 1/4, 2/5, 1
Let g be 81/30 - (-15)/50. Let r(o) be the second derivative of -3*o - 10/9*o**g + 25/36*o**4 + 2/3*o**2 + 0. Solve r(y) = 0.
2/5
Suppose 581 = 4*g + 193. Let k = g - 94. Suppose 1/3 - 1/3*l**k - l + l**2 = 0. Calculate l.
1
Suppose 27/4*b**5 + 15*b + 0 + 111/2*b**4 + 39*b**2 - 465/4*b**3 = 0. Calculate b.
-10, -2/9, 0, 1
Let w(j) be the first derivative of -5*j**4/4 + 55*j**3 + 360*j**2 + 740*j + 502. Factor w(q).
-5*(q - 37)*(q + 2)**2
Let k(y) = 3*y**5 + y**3 + y**2 + y + 1. Let l(d) = -11*d**5 - 40*d**4 - 122*d**3 - 162*d**2 - 82*d - 2. Let i(f) = 2*k(f) + l(f). Factor i(n).
-5*n*(n + 2)**4
Suppose 4*m - 161*u + 156*u = -17, 0 = 5*m + 5*u - 35. Solve 0*o + 0*o**m - 3/2*o**4 - 3/2*o**5 + 0*o**3 + 0 = 0.
-1, 0
Let x(u) be the second derivative of -u**5/5 - 2*u**4 - 8*u**3 - 16*u**2 + 43*u. Factor x(v).
-4*(v + 2)**3
Let v = 439/2 + -5487/25. Let r(p) be the third derivative of 0*p**3 + 4*p**2 + 0*p**4 + 1/175*p**7 + 0*p + 2/75*p**5 - v*p**6 + 0 - 1/1680*p**8. Factor r(d).
-d**2*(d - 2)**3/5
Let a = 107 + -99. Let p be (-1)/a + (-150)/(-48). Suppose 0*o**2 - 6/5*o + 4/5 + 2/5*o**p = 0. What is o?
-2, 1
Let o = 454 + -450. Let n(m) be the third derivative of 0*m + 1/5*m**5 + 5*m**2 - 9/8*m**o + 0 + m**3. Factor n(i).
3*(i - 2)*(4*i - 1)
Let w(j) = -j**3 + 9*j**2 - 13*j + 13. Let t be w(7). Let k = -20 + t. Solve k + 2/3*d**3 - 4/3*d - 2/3*d**2 = 0.
-1, 0, 2
Let l = -2609 + 18269/7. Let l*s**4 + 6/7 - 12/7*s**2 + 2/7*s + 2/7*s**5 - 4/7*s**3 = 0. What is s?
-3, -1, 1
Factor 0 - 2/19*t**3 + 2/19*t + 0*t**2.
-2*t*(t - 1)*(t + 1)/19
Let d be (-36)/(-40)*(1 - (-11)/(-33)). Let d*u + 6/5*u**2 + 0 + 3/5*u**3 = 0. Calculate u.
-1, 0
Let v(x) be the second derivative of -x**8/3360 + x**7/252 + x**6/60 - 7*x**4/12 - 24*x. Let a(j) be the third derivative of v(j). Factor a(s).
-2*s*(s - 6)*(s + 1)
Let l(w) be the first derivative of w**7/210 + w**6/120 + 8*w**2 - 23. Let r(a) be the second derivative of l(a). Solve r(d) = 0.
-1, 0
Let c(a) be the third derivative of a**5/12 - 10*a**4/3 - 85*a**3/6 - 7*a**2. Solve c(f) = 0.
-1, 17
Factor -m**2 + 1 - 8 - 3 + 39*m + 1 - 29*m.
-(m - 9)*(m - 1)
Let l(y) = 3*y**2 + 5*y - 10. Let u be l(-3). Suppose 24*s - 94 = u. Let 2/13*a**s + 0*a + 2/13 - 4/13*a**2 + 0*a**3 = 0. Calculate a.
-1, 1
Let l(t) be the first derivative of t**7/63 + t**6/45 - t**5/30 - t**4/18 + 3*t + 4. Let n(a) be the first derivative of l(a). Suppose n(f) = 0. Calculate f.
-1, 0, 1
Let i(h) = -h. Let c = -18 + 16. Let l(x) = 2*x**2 - 14*x - 6. Let w(t) = c*l(t) + 36*i(t). Let w(o) = 0. What is o?
-3, 1
Let y = 6 - 0. Suppose 0 = 3*h - y*h + 60. Determine v, given that -2*v**3 - 2*v - 8*v**2 + h*v**2 - 8*v**2 = 0.
0, 1
Let q = 5453/6 - 5443/6. Find y, given that -5/3*y - 5*y**3 - q*y**4 - 5*y**2 + 0 = 0.
-1, 0
Let j = 733 - 283. Factor -49*t**2 - 375*t**4 - 16*t - 96*t**2 + 40*t + j*t**3 - 35*t**2.
-3*t*(5*t - 2)**3
Let w(i) = -3*i**3 - i**2 - i - 1. Let l(j) = 22*j**3 + 8*j**2 + 5*j + 7. Let g(t) = 2*l(t) + 14*w(t). Factor g(f).
2*f*(f - 1)*(f + 2)
Suppose -5*w + 4*d - 104 = 0, w = 3*w - 2*d + 42. Let f be (24/w)/(-2)*55. What is i in -6*i + f*i**3 - 75/4*i**2 + 3 - 45/4*i**4 = 0?
-2/5, 1/3, 1, 2
Let i(o) be the third derivative of 0*o + 1/300*o**6 - 32*o**2 + 0*o**3 - 1/840*o**8 + 1/525*o**7 + 0*o**4 - 1/150*o**5 + 0. Factor i(d).
-2*d**2*(d - 1)**2*(d + 1)/5
Let t(y) be the first derivative of -4*y**3/3 + 88*y**2 - 1936*y + 32. Factor t(c).
-4*(c - 22)**2
What is s in 3/7*s + 0*s**4 - 6/7*s**3 + 0*s**2 + 3/7*s**5 + 0 = 0?
-1, 0, 1
Let r(d) be the first derivative of -d**5 + 5*d**4/4 + 5*d**3/3 - 5*d**2/2 + 72. Solve r(v) = 0 for v.
-1, 0, 1
Let w(o) = o**3 - 9*o**2 - 9*o - 7. Let n be w(10). Let g(a) = 3*a + 18. Let b be g(9). Factor -3*u + 4*u**n + 3*u + b*u**4 - 47*u**4.
-2*u**3*(u - 2)
Suppose 9 + 5 = 2*x + 5*s, -2*s = 4*x - 12. Solve -3/5*u**5 + 0 - 3/5*u + 0*u**4 + 0*u**x + 6/5*u**3 = 0.
-1, 0, 1
Let p = -63 + 70. Let v(w) be the second derivative of 0 + 0*w**2 + 1/33*w**3 + p*w - 1/66*w**4. Factor v(h).
-2*h*(h - 1)/11
Let 4/9 - 4*s + 17/9*s**2 = 0. What is s?
2/17, 2
Let a(w) be the third derivative of w**6/180 + w**5/90 - w**4/4 - w**3 - 6*w**2 - 4*w. What is c in a(c) = 0?
-3, -1, 3
Let d = -34 - -43. Let m = d - 9. Let m + 2/3*y**3 + 0*y + 2/9*y**5 + 2/3*y**4 + 2/9*y**2 = 0. Calculate y.
-1, 0
Let n be (-30)/(-44) - 2/4. Suppose -3*u + 19 = 5*d, -3*u - 447 = -456. Factor n*k**d + 0 + 0*k.
2*k**2/11
Factor -p**4 - 48*p**2 + 699*p - 104976 - 1896*p**2 - 24027*p - 72*p**3.
-(p + 18)**4
Factor -39*j + 0*j**2 + 16*j**2 + 19 + 19*j**2 - 14*j**2 - j**3.
-(j - 19)*(j - 1)**2
Suppose 8*g = 15*g - 14. Suppose 5*i - 1 = 3*r, -2*r - g*r - 4*i + 20 = 0. Determine m, given that 1/2*m**r - 2*m**2 - 1 + 5/2*m = 0.
1, 2
Suppose 3*d - 50 = -2*n, -78 = -6*d + d - 2*n. Let g(w) = -w**3 + 14*w**2 - 2*w + 31. Let k be g(d). Factor -3*p**2 - 3/2 - 3/4*p**k - 15/4*p.
-3*(p + 1)**2*(p + 2)/4
Let s(r) be the first derivative of -3*r**5/5 - 3*r**4/2 + 4*r**3 + 12*r**2 - 54. Determine g, given that s(g) = 0.
-2, 0, 2
Let l be -27 + 15 - (2 - 6). Let v be (80/25)/l*-5. Factor -2/15*p**3 + 4/15*p + 2/15*p**v + 0.
-2*p*(p - 2)*(p + 1)/15
Let l(o) be the first derivative of -4/5*o**5 - 8/3*o**3 - 3*o**4 + 0*o + 0*o**2 + 16. Let l(s) = 0. What is s?
-2, -1, 0
Let a(h) be the third derivative of -h**5/60 - 5*h**4/12 - 7*h**3/2 - 141*h**2. Determine m, given that a(m) = 0.
-7, -3
Suppose 2 = -5*f - 103. Let z be (-3)/12 - -3*f/(-156). Factor 6/13*h**5 - 12/13*h**2 - 2/13*h - 22/13*h**4 + 28/13*h**3 + z.
2*(h - 1)**4*(3*h + 1)/13
Let n be 3/(-6)*(9 - (-174)/(-18)). Let y(z) be the third derivative of -6*z**2 - n*z**4 + 0*z**3 - 1/15*z**5 + 0*z + 0. Factor y(k).
-4*k*(k + 2)
Let d(b) be the first derivative of -b**4/2 - 62*b**3/3 - 64. Find q such that d(q) = 0.
-31, 0
Let d(z) = 3*z**2 - 34*z - 169. Let u(v) = 3*v**2 - 38*v - 170. Let j(c) = 5*d(c) - 4*u(c). Suppose j(b) = 0. Calculate b.
-5, 11
Let y(b) = 4*b**3 - 10*b**2 + 2*b + 22. Let w be ((-8)/(-2) + -5)/(1/(-7)). Let o(s) = 4*s**3 - 9*s**2 + 3*s + 23. Let q(u) = w*y(u) - 6*o(u). Solve q(p) = 0.
-1, 1, 4
Let o(z) = z**2 + z - 9. Let s be o(-4). Suppose s*x = -10 + 10. Find m, given that -1/2*m**4 + 0 + x*m + 0*m**2 + 1/4*m**5 + 1/4*m**3 = 0.
0, 1
Let j be (-2)/70*173 + 5. Let v(f) be the first derivative of j*f**5 + 0*f + 0*f**2 - 2 + 1/14*f**4 + 0*f**3. Find c, given that v(c) = 0.
-1, 0
Suppose 3*x + 2 = 14. Suppose -i = -12*z + 10*z, 5*z = 4*i - 6. Solve 3*f**x - f**4 + 4*f**i - 6*f**2 + 3*f**5 - 3*f = 0 f