et u be j(-20). Factor -1/2*a - 3/4*a**u + 0 + 0*a**3 + 1/4*a**4.
a*(a - 2)*(a + 1)**2/4
Let l be 10/2 - 423/(-540)*-6. Let r(a) be the second derivative of -l*a**5 + 0*a**2 + 3*a - 1/15*a**6 - 1/3*a**3 - 1/2*a**4 + 0. Solve r(k) = 0 for k.
-1, 0
Factor 820*m + 968*m + 1038*m + 14 + 29*m**2 - 2621*m.
(m + 7)*(29*m + 2)
Let z = -581 + 2906/5. Factor -v**3 + 0 + 3/5*v**2 + z*v**5 + 0*v + 1/5*v**4.
v**2*(v - 1)**2*(v + 3)/5
Factor 163349*j**2 - 4*j**5 - 161869*j**2 - 3500 + 9*j**4 + 1900*j + 152*j**3 - 23*j**4 - 14*j**4.
-4*(j - 7)*(j - 1)*(j + 5)**3
Let o(t) be the first derivative of 2*t**3/39 - 2*t**2/13 - 240*t/13 - 614. What is d in o(d) = 0?
-10, 12
Suppose 7 + 18 = 5*k. Suppose -i - 15 = -3*p, 0*p - p = k*i + 11. Let -j + 5*j**2 + p*j**3 - j**3 - 2*j**2 + 2*j + j**4 = 0. Calculate j.
-1, 0
Let j(d) be the second derivative of 1/6*d**3 + 0*d**2 - 1/36*d**4 - 4*d + 0. Solve j(t) = 0.
0, 3
Let v(k) = 25*k**2 + 47*k - 96. Let m(u) = -11*u**2 - 23*u + 48. Let h(r) = 7*m(r) + 3*v(r). Let h(j) = 0. What is j?
-12, 2
Let d be 2/3 - (-64)/21. Let r = d - 31/14. Factor 3 - r*m**2 + 3/2*m.
-3*(m - 2)*(m + 1)/2
Let h be (1 + 2/(-8))*-48. Let r be (-24)/h + 7/3. Let -263 - r*c**3 + c**2 + 263 - c**5 + 3*c**4 = 0. Calculate c.
0, 1
Let y(x) = 8*x**4 - 5*x**3 - 45*x**2 - 55*x - 11. Let s(b) = -15*b**4 + 11*b**3 + 90*b**2 + 109*b + 23. Let m(c) = -6*s(c) - 11*y(c). Factor m(j).
(j + 1)**3*(2*j - 17)
Let g be -6 - -9 - 5/((-15)/(-6)). Let t be g/(14/18) + -1. Factor 0*u**2 + 2/7*u**4 + 0*u + t*u**3 + 0.
2*u**3*(u + 1)/7
Let o(k) = -k**3 + 13*k**2 - k + 17. Let v be o(13). Suppose -34 - 11*i - i + 18 - 4*i - v*i**2 = 0. What is i?
-2
Let u be 323/95 - 4/10. Suppose 0 = 2*n + u*n. Find o such that -2/3*o**4 + 0 + 0*o**2 + n*o - 2/3*o**3 = 0.
-1, 0
Let a(n) = -18*n**2 + 122*n - 256. Let c(m) = -10*m**2 + 60*m - 128. Let y(p) = -4*a(p) + 7*c(p). Suppose y(i) = 0. Calculate i.
2, 32
Let q(h) = 2*h**3 - 22*h**2 - 93*h + 285. Let b(r) = -3*r**3 + 44*r**2 + 187*r - 571. Let z(n) = -3*b(n) - 5*q(n). Let z(m) = 0. What is m?
-12, 2
Find b, given that 2/11*b - 2/11*b**3 + 4/11*b**2 + 0 - 4/11*b**4 = 0.
-1, -1/2, 0, 1
Suppose 3/4*h**3 + 3/8*h**4 + 0 - 9/4*h - 15/8*h**2 = 0. Calculate h.
-3, -1, 0, 2
Let m be (8*(-10)/(-320) + 14/40)*5. Factor -8/7*y**2 - 20/7*y + 8/7 + 20/7*y**m.
4*(y - 1)*(y + 1)*(5*y - 2)/7
Let p be (-585)/(-26)*(-2)/40*-2. Factor 3/4*y - p - 3/4*y**3 + 9/4*y**2.
-3*(y - 3)*(y - 1)*(y + 1)/4
Let y be ((-15)/(-30))/((-2)/(-156)). Suppose 17*i = 29 + y. Factor -2/5*f**i - 2/5*f**3 + 2/5*f**2 + 2/5*f**5 + 0*f + 0.
2*f**2*(f - 1)**2*(f + 1)/5
Let y(g) be the second derivative of -g**7/56 - g**6/24 - g**5/80 + g**4/48 - 12*g + 3. Factor y(l).
-l**2*(l + 1)**2*(3*l - 1)/4
Let r be (-1)/(-2) + 1/(-2). Let u = 461/176 - 39/16. Factor 2/11*t + r + u*t**2.
2*t*(t + 1)/11
Let y(c) be the second derivative of -1/126*c**4 - 7*c + 0*c**5 + 0*c**3 + 0 + 1/315*c**6 + 0*c**2. Factor y(f).
2*f**2*(f - 1)*(f + 1)/21
Let v(z) be the first derivative of -2*z**5/95 + 7*z**4/38 - 26*z**3/57 - 3*z**2/19 + 36*z/19 + 57. Suppose v(a) = 0. What is a?
-1, 2, 3
Let d(o) = o**3 + o**2 - o - 1. Let z(n) = 5*n**4 + 4*n**3 + n**2 - n - 1. Let h(c) = -4*d(c) + 4*z(c). Factor h(u).
4*u**3*(5*u + 3)
Let d(f) be the first derivative of 20*f + 75*f**3 - 15*f**4 + 5 + 29*f**4 - 70*f**2 + 21*f**4 - 49*f**5. Solve d(y) = 0.
-1, 2/7, 1
Let k(u) be the third derivative of 29*u**5/10 - 97*u**4/60 + 2*u**3/15 + 12*u**2 - 14. Determine h so that k(h) = 0.
2/87, 1/5
Let l be 4/(32/1642) + 24/32. Let d = l - 1439/7. Factor 3/7 + 9/7*x**2 + 9/7*x + d*x**3.
3*(x + 1)**3/7
Let f(r) be the third derivative of r**8/84 + 4*r**7/35 - r**6/5 - 44*r**5/15 - 17*r**4/2 - 12*r**3 + 2*r**2 - 3*r. Let f(k) = 0. What is k?
-6, -1, 3
Let d(i) be the first derivative of -i**5/90 + 5*i**4/54 - 8*i**3/27 + 4*i**2/9 - 14*i + 13. Let s(a) be the first derivative of d(a). Factor s(n).
-2*(n - 2)**2*(n - 1)/9
Let o be 34/(-4)*-4*(7 - 9). Let l = o + 478/7. What is h in -2/7*h**4 - l*h**2 + 0 + 0*h + 4/7*h**3 = 0?
0, 1
Let u(y) be the first derivative of -4*y**3/3 - 38*y**2 - 72*y - 391. Factor u(t).
-4*(t + 1)*(t + 18)
Let x(p) be the first derivative of -2*p**3/9 + 170*p**2/9 - 224*p/9 - 142. Factor x(c).
-2*(c - 56)*(3*c - 2)/9
Let z(r) be the first derivative of r**4/6 - 4*r**3/3 - r**2/3 + 4*r - 329. Factor z(l).
2*(l - 6)*(l - 1)*(l + 1)/3
Let x(i) be the third derivative of -i**6/540 - i**5/54 - i**4/36 + i**3/3 - 2*i**2 + 36. Factor x(b).
-2*(b - 1)*(b + 3)**2/9
Let x(y) be the second derivative of -y**7/210 - y**6/25 - y**5/25 + y**4/10 + y**3/6 - 358*y. Let x(h) = 0. Calculate h.
-5, -1, 0, 1
Suppose -5*y - 3*g + 19 = 0, g = -2*y + 8 - 1. Suppose -10*s**4 - 12*s**y + 4*s + 0*s**4 + 12*s**3 + 10*s**4 - 4*s**4 = 0. What is s?
0, 1
Let g(j) be the third derivative of -j**6/80 + 27*j**5/40 - 51*j**4/16 + 25*j**3/4 - 188*j**2. Factor g(p).
-3*(p - 25)*(p - 1)**2/2
Suppose 0 = -22*y + 27*y + 320. Let z = 64 + y. Solve 2/3*i - 8/3*i**2 + z = 0.
0, 1/4
Let j(y) be the third derivative of 13*y**2 + 0*y**4 + 0*y**3 + 0 + 0*y**5 - 1/280*y**7 + 0*y - 1/160*y**6. Factor j(d).
-3*d**3*(d + 1)/4
Suppose 3 = v + v - t, -2*v + 4*t = 0. Suppose -4*a + 4*a + 46*a**v - 51*a**2 + 5*a = 0. What is a?
0, 1
Suppose -194 = -4*x - 10. Let h = x + -44. What is n in 0*n - 4/3*n**3 + 0*n**h - 6*n**4 + 0 + 22/3*n**5 = 0?
-2/11, 0, 1
Determine k so that 4/5*k - 2/5*k**2 + 6/5 = 0.
-1, 3
What is v in v + 966*v**2 - 14*v - 108 - 5*v - 461*v**3 + 1831*v**3 + 519*v**4 - 169*v**4 = 0?
-3, -3/5, 2/7
Suppose 8*t - 15*t = -14. Factor -17*p - 6 - 34 - 20*p + 9*p - 4*p**t.
-4*(p + 2)*(p + 5)
Let b(y) be the second derivative of 8/3*y**3 - 26*y + 0*y**2 + 1/5*y**5 + 0 + 4/3*y**4. Find c such that b(c) = 0.
-2, 0
Let m(j) = 14*j**3 + 227*j**2 - 1560*j + 1330. Let o(k) = 10*k**3 + 170*k**2 - 1170*k + 998. Let n(x) = 8*m(x) - 11*o(x). Suppose n(s) = 0. Calculate s.
1, 13
Let x(a) be the third derivative of -a**8/4480 - a**7/420 - a**6/120 - a**4/6 + 6*a**2. Let i(l) be the second derivative of x(l). Find s, given that i(s) = 0.
-2, 0
Find d, given that 158*d**4 - 6*d**2 + 0*d**2 + 525*d**3 - 75*d - 408*d**4 - 8*d**2 + 4*d**2 - 10 = 0.
-1/5, 1/2, 2
Let d be 15/(-9) - (13 - (-819)/(-54)). Factor -1/2*z**4 + d + z + 0*z**2 - z**3.
-(z - 1)*(z + 1)**3/2
Let d(y) be the first derivative of -3*y**4/10 + 58*y**3/15 - 42*y**2/5 + 32*y/5 - 438. Find m, given that d(m) = 0.
2/3, 1, 8
Factor -3*f**2 + 3*f**2 - 28*f + 5*f**2 - 9*f**2.
-4*f*(f + 7)
Let j = 707 - 707. Let u(q) be the second derivative of -q + 1/6*q**4 + 0*q**3 - q**2 + j. Find i, given that u(i) = 0.
-1, 1
Factor 2/3 - 2/5*g**2 + 4/15*g.
-2*(g + 1)*(3*g - 5)/15
Let p be (1/(-13))/(26/(-19019)). Let d = p - 111/2. Determine q, given that d*q**2 + 14/13*q + 4/13 = 0.
-1, -2/5
Suppose 4*a - 38 = 2*g, -5*g - 50 = -7*a + 2*a. Suppose -a*h**2 + 24*h**2 - 25*h + 5 + 5*h**2 = 0. What is h?
1/4, 1
Factor -240*z**2 - 320*z**3 + 3883 + 75*z - 7772 + 3884.
-5*(z + 1)*(8*z - 1)**2
Suppose 5*s = -s + 18. Factor 44*h**2 + s*h + 6*h - h + 20*h**5 + 84*h**3 - 10*h**4 + 78*h**4.
4*h*(h + 1)**3*(5*h + 2)
Let l(f) be the first derivative of 0*f**2 - 32/3*f**3 + 0*f - 4*f**4 - 16 - 2/5*f**5. Determine a so that l(a) = 0.
-4, 0
Let g(j) = 3*j + j**2 - 2 - 2*j**3 + 3*j**2 + 2*j**2. Let m be 4/(8/(-6))*24/9. Let b(t) = 5*t**3 - 17*t**2 - 9*t + 5. Let d(l) = m*g(l) - 3*b(l). Factor d(p).
(p + 1)**3
Let x be (6/15)/(((-80)/25)/(-4)). Let n be (-3)/(-2)*(-32)/(-24). Factor -x*f**n - 1/4*f**5 + 3/4*f - 1/2*f**3 - 1/4 + 3/4*f**4.
-(f - 1)**4*(f + 1)/4
Let d(p) be the second derivative of -2/3*p**3 - 1/12*p**4 + 26*p + 0 - 3/2*p**2. Factor d(u).
-(u + 1)*(u + 3)
Let x(m) = m + 1 - 5*m + 4*m**2 + 7*m + m**3. Let v be x(-2). Find j, given that -15*j**v - 4*j**4 + j**4 + 13*j**3 = 0.
-2/3, 0
Let z be (3 - 7/2)*-150. Suppose 0 = 7*p - 2*p - z. Suppose 4*v**4 + 2*v**2 + v**2 + v**2 - 7*v**3 + p*v**3 = 0. Calculate v.
-1, 0
Solve 30/7 - 6/7*h**2 - 24/7*h = 0.
-5, 1
Suppose 0 = -26*b + 47 + 5. Suppose -25/3 - 1/3*x**b + 10/3*x = 0. Calculate x.
5
Suppose 46 = 18*z - 26. Let y(q) be the first derivative of 0*q + 13 - 1/2*q**z + 1/3*q**6 + 2/15*q**5 + 0*q**2 - 2/9*q**3. Suppose y(j) = 0. Calculate j.
-1, -1/3, 0, 1
Let c(p) = 31*p**3 