 + 18*s**2 - 2*s. Let b be r(12). Factor 1/3 + b*i - 1/3*i**2.
-(i - 1)*(i + 1)/3
Find z such that 1/2*z**4 - 3/2*z**2 - 1/2*z + 1/3 - 1/6*z**3 = 0.
-1, 1/3, 2
Let q(k) be the third derivative of -k**6/18 - 8*k**5/5 + 10*k**4/3 - 7*k**3/6 + 33*k**2. Let r(u) be the first derivative of q(u). Factor r(f).
-4*(f + 10)*(5*f - 2)
Let b be ((-196)/294)/(2/(-6)). Let 15*s - 75/2 - 3/2*s**b = 0. Calculate s.
5
Suppose g = -2*i - 8, 26 = -5*i + 1. Let c(j) be the third derivative of 0 + 0*j - 1/90*j**5 - 1/36*j**4 + 2/9*j**3 - j**g. Solve c(y) = 0 for y.
-2, 1
Factor -17/3*z - 1/6*z**3 - 35/6*z**2 + 0.
-z*(z + 1)*(z + 34)/6
Factor 0*m - 3*m + 5*m + 6*m + m**2.
m*(m + 8)
Let t = -5407 + 16223/3. Find z such that 2*z + 2/3 - 4/3*z**2 + t*z**4 + 2*z**5 - 4*z**3 = 0.
-1, -1/3, 1
Let i(f) be the first derivative of -f**4/21 + 2*f**2/7 - 3*f + 2. Let o(c) be the first derivative of i(c). Find k such that o(k) = 0.
-1, 1
Let y(x) be the second derivative of 3/8*x**3 + 3*x - 1/16*x**4 + 0 - 3/4*x**2. Factor y(j).
-3*(j - 2)*(j - 1)/4
Let w(x) be the first derivative of -27*x**5/50 - 13*x**4/10 - 8*x**3/9 - 4*x**2/15 - 28*x + 14. Let k(a) be the first derivative of w(a). Solve k(u) = 0.
-1, -2/9
Let v = -540 - -544. Let d(o) be the second derivative of -4/3*o**2 + 0 - 4/9*o**3 - 3*o - 1/18*o**v. Determine k, given that d(k) = 0.
-2
Let d be 3 + (-130)/42 + 21/49. Suppose -d*i - 1/6*i**2 + 4/3 = 0. What is i?
-4, 2
Let z be (-2654)/28 - 3*2/(-12). Let d = -94 - z. Let -4/7*t**4 + 0 - d*t**5 + 4/7*t**2 + 2/7*t + 0*t**3 = 0. What is t?
-1, 0, 1
Solve 85*l**2 + 36 - 42*l**2 - 40*l**2 - 21*l = 0 for l.
3, 4
Let n = 29 + -19. Solve -n*b**2 + 35*b**2 + 8*b - 21*b**2 + 4 = 0.
-1
Let s = 20 + -15. Suppose -s*o - 4*a - a = -20, -a + 4 = -3*o. Find z, given that 2/3*z**2 - 1/3*z + o - 1/3*z**3 = 0.
0, 1
Let r(z) be the first derivative of 0*z + 1/9*z**2 + 0*z**3 - 1/18*z**4 - 13. Factor r(a).
-2*a*(a - 1)*(a + 1)/9
Solve -8/7*v**3 - 106/7*v**2 - 24/7 - 122/7*v = 0 for v.
-12, -1, -1/4
Let w(h) be the second derivative of -h**5/90 + 25*h**4/18 - 625*h**3/9 + 15625*h**2/9 - 394*h. What is t in w(t) = 0?
25
Determine y, given that 600*y - 31*y**2 - 20 + 5*y**2 + 9*y**2 - 112 - 10*y**2 = 0.
2/9, 22
Let v(z) be the first derivative of 0*z + 5 + 0*z**2 - 9/20*z**5 + 1/2*z**3 + 3/16*z**4. Determine g so that v(g) = 0.
-2/3, 0, 1
Factor -25/2 + 1/4*g**2 + 5/4*g.
(g - 5)*(g + 10)/4
Let o = 15880 - 15878. Determine g, given that -4/7*g + 0 - 6/7*g**o = 0.
-2/3, 0
Suppose -3*f + 2*a = -2*f + 3, -2*f = -5*a + 11. Let w(r) be the first derivative of 0*r + f - 1/5*r**3 + 3/10*r**2. Factor w(u).
-3*u*(u - 1)/5
Suppose -22*a + 21*a = -x + 20, 3*x - 5*a = 64. Let l be -3 + x/4 - 3/(-6). Factor 2/3*c**3 + 8/3*c**l + 8/3*c + 0.
2*c*(c + 2)**2/3
Let h = 30 - 25. Let o be (0 + -2)*(-6 + h). Factor -6 - 40*x**2 + 40*x - 10*x**o + 1 - 3.
-2*(5*x - 2)**2
Factor -356*d**3 - 354*d**3 + 7*d - 6*d**2 + 709*d**3.
-d*(d - 1)*(d + 7)
Let s(w) = w**3 + 9*w**2 - 143*w - 117. Let i be s(-17). Factor 1/2*x**3 - x + 0 + 1/2*x**i.
x*(x - 1)*(x + 2)/2
Let x(m) be the third derivative of m**8/16800 - m**7/4200 - m**6/900 + m**5/150 + 11*m**3/3 + 32*m**2. Let b(k) be the first derivative of x(k). Factor b(a).
a*(a - 2)**2*(a + 2)/10
Let z = 51 - 59. Let u be 1/2*z/(-6). Find o, given that -4/3*o**2 + 2/3 - 2/3*o**5 + 2/3*o**4 + 4/3*o**3 - u*o = 0.
-1, 1
Suppose 5*p = 2*p + 18. Let d(v) = 3*v - 16. Let j be d(p). Suppose 3*w**2 + w**3 - w**5 + 2*w**2 - 6*w**j + 4*w**4 - 3*w**4 = 0. Calculate w.
-1, 0, 1
Suppose -50*z = -22*z - 336. Factor 0 - 8/3*u - z*u**2.
-4*u*(9*u + 2)/3
Let l(t) = t**2 + 16*t + 30. Let f be l(-14). Let c be (-2)/6 + (-57)/(-18)*f. What is u in 2/3*u**2 + 4*u + c = 0?
-3
Let l(o) = o**2 - 4*o + 4. Let n be l(0). Let v(s) be the third derivative of 0 + 1/30*s**5 + 1/12*s**4 + n*s**2 + 0*s**3 + 0*s. Find a such that v(a) = 0.
-1, 0
Let t(b) be the first derivative of -b**3/12 - 21*b**2/4 - 441*b/4 + 31. Find f such that t(f) = 0.
-21
Let c = -44 - -47. Factor 9*g**3 - g**2 - c*g**2 - 9*g + 6 + g**2 - 5*g**4 + 2*g**4.
-3*(g - 2)*(g - 1)**2*(g + 1)
Let h(l) = 232*l**4 + 2550*l**3 + 3756*l**2 + 1444*l - 12. Let v(n) = -n**5 - n**4 - n**2 - 2. Let b(f) = -h(f) + 6*v(f). Let b(g) = 0. Calculate g.
-19, -1, -2/3, 0
Let y(g) be the first derivative of 3*g**4/4 + 8*g**3 + 51*g**2/2 + 30*g + 53. Let y(p) = 0. Calculate p.
-5, -2, -1
Let r(n) be the second derivative of -n**4/6 - 9*n**3 + 102*n. Factor r(q).
-2*q*(q + 27)
Let z(v) be the third derivative of -1/2*v**4 + 0*v + 22*v**2 + 1/15*v**5 + 0 + 0*v**3. Let z(q) = 0. What is q?
0, 3
Let d be (-410)/450*3 + 0 + 3. Let f(v) be the first derivative of -d*v**5 + 0*v**2 + 0*v + 5 - 4/9*v**3 + 2/3*v**4. Factor f(z).
-4*z**2*(z - 1)**2/3
Let s(k) = -k**2 + 15*k - 33. Let d be s(3). Let j(x) be the third derivative of 1/60*x**5 + 3*x**2 - 1/18*x**d + 1/180*x**6 + 0 + 0*x**4 + 0*x. Factor j(n).
(n + 1)**2*(2*n - 1)/3
Suppose -14 = -l + 10. Factor -l*i**2 + 12*i - 3*i**3 + 52*i + 16*i + 2*i**4 - i**3 - 64.
2*(i - 2)**3*(i + 4)
Let v(m) be the first derivative of 4*m**5/25 - 8*m**3/15 + 4*m/5 + 5. Factor v(w).
4*(w - 1)**2*(w + 1)**2/5
Let q(u) be the third derivative of 0 + 0*u**6 + 21*u**2 - 3/80*u**5 + 0*u**3 + 1/280*u**7 + 0*u + 1/16*u**4. Factor q(k).
3*k*(k - 1)**2*(k + 2)/4
Let g be (3 - -3)/(((-10)/(-3))/5). Factor 15*c - g*c**2 - 5*c**4 + 3*c - 6*c + 12 + 8*c**4 - 6*c**3.
3*(c - 2)**2*(c + 1)**2
Factor -1/5*d**5 - 180*d - 109/5*d**3 + 0 - 156*d**2 + 26/5*d**4.
-d*(d - 15)**2*(d + 2)**2/5
Suppose 9*i + 7*i - 75 = -9*i. Solve -3/4*r**3 - 3/2 - i*r**2 - 15/4*r = 0.
-2, -1
Let t be 3/(-2)*(-3)/27*3. Find s, given that 0*s**2 - t*s**3 + 0 + 1/2*s = 0.
-1, 0, 1
Let j(b) be the third derivative of -b**5/100 + b**4/8 + 5*b**3 + 8*b**2 + 25*b. Let j(z) = 0. What is z?
-5, 10
Let r(o) = 152*o - 1213. Let n be r(8). Factor 2/3*s**2 + 0*s - 1/3*s**5 + 0 + 0*s**4 + s**n.
-s**2*(s - 2)*(s + 1)**2/3
Let m(l) be the third derivative of -l**7/420 - l**6/45 - l**5/12 - l**4/6 - 7*l**3/6 - 33*l**2. Let q(s) be the first derivative of m(s). Factor q(k).
-2*(k + 1)**2*(k + 2)
Let 82 + 7*y**2 - 79 - 18*y - 4*y**2 - 51 = 0. What is y?
-2, 8
Suppose 0 = -0*m + 2*m. Let l be (-10)/(-5)*(-5 - (-26)/4). Determine q, given that m*q**4 + 0*q + 0 + 9/7*q**l - 3/7*q**5 - 6/7*q**2 = 0.
-2, 0, 1
Solve -2 - 272/9*a**2 - 142/9*a + 32/9*a**3 = 0 for a.
-1/4, 9
Let n be (2/2)/((4/3)/4). Suppose 1/5*i**n - 2/5 + 1/5*i**4 - i - 3/5*i**2 = 0. Calculate i.
-1, 2
Let i be (-5 + 7)*(0 + 13). Let p be i/91 - 122/(-14). Find z, given that 4*z + 5*z - 4*z**5 + z**2 - p*z**2 - 5*z + 8*z**4 = 0.
-1, 0, 1
Let x(m) = m**5 - 6*m**4 + 18*m**3 + 3*m. Let t(d) = -4*d**5 + 28*d**4 - 90*d**3 - 14*d. Let h(f) = 3*t(f) + 14*x(f). Determine g, given that h(g) = 0.
-3, 0, 3
Let o(j) be the first derivative of -j**6/5 - 27*j**5/25 - 27*j**4/20 + j**3/5 + 9*j**2/10 + 181. What is l in o(l) = 0?
-3, -1, 0, 1/2
Suppose 5*i + 2*u - 531 = -u, -4*u = -4*i + 444. Determine b, given that 3*b**3 + i - 108 = 0.
0
Let f = -11 + 17. Let g(l) = -9*l**3 - 3*l**2 + 33*l + 5. Let v(r) = 4*r**3 + 2*r**2 - 16*r - 2. Let a(m) = f*g(m) + 13*v(m). Solve a(z) = 0 for z.
1, 2
Let d(u) be the first derivative of -3*u**5/5 + 21*u**4/2 - 61*u**3 + 126*u**2 - 108*u + 559. Factor d(l).
-3*(l - 6)**2*(l - 1)**2
Let f be (-1 - 898/(-900))*(-140)/56. Let n(d) be the third derivative of 0*d + 1/315*d**7 + 0*d**3 + f*d**6 + 5*d**2 + 0*d**5 + 0*d**4 + 0. Factor n(a).
2*a**3*(a + 1)/3
Let c = -138 + 144. Let k = c + -3. Suppose 0 + 5/3*h**2 + 1/3*h**5 - h**k - 2/3*h - 1/3*h**4 = 0. What is h?
-2, 0, 1
Let t(l) = 7*l**4 - 6*l**3 - 111*l**2 - 375*l - 405. Let j(v) = -30*v**4 + 24*v**3 + 445*v**2 + 1499*v + 1620. Let y(z) = -6*j(z) - 26*t(z). Factor y(i).
-2*(i - 15)*(i + 3)**3
Let t be 4/(-14) + (-30)/(-7). Suppose -2*y = -0*y, o - t*y = 60. Factor o*l**3 - 30*l**2 + 0 - 1 - 1 + 5 + 12*l**5 - 45*l**4.
3*(l - 1)**4*(4*l + 1)
Factor 507/4 - 39/2*a + 3/4*a**2.
3*(a - 13)**2/4
Factor -97*d**2 + 60 + 271*d**2 + 5*d + 44*d + 5*d**3 - 104*d**2 + 76*d.
5*(d + 1)**2*(d + 12)
Let o(k) = 2*k**3 - 5*k**2 + 10*k - 1. Let z be o(4). Let h = z - 85. Find i such that 0 + 1/2*i**4 + 2*i - 2*i**h - 1/2*i**3 = 0.
-2, 0, 1, 2
Let g = 44234 - 663508/15. Factor g