2*u + 6*a = 7*a - 9. Factor 3/4*t**u - 9/2 + 3/4*t.
3*(t - 2)*(t + 3)/4
Suppose 4/7*a**3 + 5808/7*a + 42592/7 + 264/7*a**2 = 0. What is a?
-22
Let l(a) be the third derivative of 2*a**7/525 - a**6/8 + 143*a**5/100 - 82*a**4/15 - 32*a**3/5 + 321*a**2. Factor l(n).
(n - 8)**2*(n - 3)*(4*n + 1)/5
Suppose 3*p + 0*u - u - 2 = 0, 3*p + 5*u - 26 = 0. Factor 18*n**2 - 13*n**2 + p - 2 - 10*n.
5*n*(n - 2)
Suppose -5*b + 0*b = -10. Factor 0*y**2 + 3*y**2 + 2*y + b*y - y**2.
2*y*(y + 2)
Let y(a) be the first derivative of -2*a**5/5 - 23*a**4/2 - 86*a**3/3 - 21*a**2 - 58. Let y(p) = 0. Calculate p.
-21, -1, 0
Let b be -87 - -84 - (-6)/5*(-2 + 7). Solve 21/4*k**b - 3/2 - 21/4*k + 3/2*k**2 = 0 for k.
-1, -2/7, 1
Let p = 787/1566 - 2/783. Find c, given that -p + 0*c**4 + 1/2*c**2 + 3/4*c - c**3 + 1/4*c**5 = 0.
-2, -1, 1
Factor -32*d**2 - 70*d**4 - 242*d**4 + 76*d**5 - 994*d**3 + 1330*d**3.
4*d**2*(d - 2)**2*(19*d - 2)
Let y(v) = -v + 13. Let r be y(13). Suppose r*w + w - 2 = 0. Factor -2*s**4 - s**w + 4*s**4 - s**4.
s**2*(s - 1)*(s + 1)
Factor -90*c**2 + 4736*c + 5*c**3 - 2272*c - 2379*c.
5*c*(c - 17)*(c - 1)
Let j = -2231/9 - -248. Let s(z) be the second derivative of -j*z**3 + 0*z**2 + 0 + 0*z**4 + 1/30*z**5 - z. Find t such that s(t) = 0.
-1, 0, 1
Let k(x) be the second derivative of 0*x**2 - 9*x + 1/32*x**4 + 0 - 1/48*x**3. Factor k(n).
n*(3*n - 1)/8
Let f(l) be the second derivative of l**6/135 + l**5/9 + 11*l**4/18 + 40*l**3/27 + 16*l**2/9 + 5*l - 10. Let f(g) = 0. What is g?
-4, -1
Factor -6/7*g**3 - 34/7*g + 12/7 + 30/7*g**2 - 2/7*g**4.
-2*(g - 1)**3*(g + 6)/7
Let j = 570 + -556. Let h(u) be the first derivative of u**5 + j - 5/3*u**3 + 0*u + 0*u**4 + 0*u**2. Factor h(r).
5*r**2*(r - 1)*(r + 1)
Let m(z) = 7*z**2 + 18*z + 23. Let j(i) = -5*i**2 - 20*i - 24. Let o(u) = -4*j(u) - 3*m(u). Factor o(w).
-(w - 27)*(w + 1)
Let z(w) be the third derivative of 0 + 2*w + 1/210*w**6 - 13/42*w**4 - 24*w**2 - 1/21*w**5 - 2/3*w**3. Factor z(v).
4*(v - 7)*(v + 1)**2/7
Suppose -4*i + 5*g + 20 = -i, 5*i - 16 = 4*g. Let s = -14 - -71/5. Find u, given that -s*u**4 + 0*u + 0 + i*u**3 + 1/5*u**2 = 0.
-1, 0, 1
Let t be (9/6)/(-3)*(-104)/156. Let l(o) be the third derivative of t*o**3 + 11/24*o**4 + 0 + 0*o + 1/12*o**5 - 7*o**2. Find n, given that l(n) = 0.
-2, -1/5
Let j(i) = -i**2 - 11*i + 12. Let q = -25 - -29. Suppose q*l - 3 = l. Let a(k) = k**2 - k. Let t(n) = l*j(n) - 3*a(n). Factor t(x).
-4*(x - 1)*(x + 3)
Let m be -3 - (-3 + 35/14) - (-6)/2. Find v, given that -7/4*v**4 + 2*v**2 - 1/2*v**3 - 1/4 + v**5 - m*v = 0.
-1, -1/4, 1
Let l = 34 + -32. Suppose -n + 0*n + 3*o = -l, 0 = -2*o. Find x such that 2*x**n + 2*x + 1/2 = 0.
-1/2
Let g(d) be the first derivative of d**8/560 - d**6/40 + d**5/20 - 10*d**3 - 22. Let r(j) be the third derivative of g(j). Solve r(i) = 0.
-2, 0, 1
Let y be 5*1 + 10 + -10. Suppose -y*j - 3*q = -11 - 10, q = 2. Factor 0*z**2 - 3/2*z**j + 0 + 0*z.
-3*z**3/2
Let c(g) = -7*g**2 - 17*g + 5. Let o(t) = -t**2 - t. Let v(y) = c(y) - 6*o(y). Let f be v(-10). Factor f*n - 3*n**2 - 5*n**2 - 13*n + 8*n**3.
2*n*(2*n - 1)**2
Suppose -4*a + 0*a = -5*l + 8, -5*l + 26 = 2*a. Factor 6/5*h**a + 6/5*h**4 + 2/5*h**2 + 2/5*h**5 + 0*h + 0.
2*h**2*(h + 1)**3/5
Suppose 4*n - 6*b = -4*b - 172, 5*n - 3*b + 215 = 0. Let x = n - -48. Factor 0*c**2 - 3/4*c**x - 3/2*c**3 + 9/4*c**4 + 0*c + 0.
-3*c**3*(c - 2)*(c - 1)/4
Suppose 8 + 0 = 4*l. Suppose 8*j - 18*j = -4*j. Find i such that -4/5 + j*i + 1/5*i**3 + 3/5*i**l = 0.
-2, 1
Let p(q) be the second derivative of -1/7*q**2 + 0*q**4 + 1/7*q**3 + 16*q + 0 - 2/35*q**5. Factor p(g).
-2*(g + 1)*(2*g - 1)**2/7
Factor -221*y**2 - 64 - 87*y - y**4 + 231*y + 18*y**3 + 124*y**2.
-(y - 8)**2*(y - 1)**2
Solve -18*m**2 + 6*m**2 + 3*m + 45*m + 52 + 8*m**2 = 0 for m.
-1, 13
Let p(h) be the first derivative of -h**4/24 - 38*h**3/3 - 1083*h**2 - 700. Find s such that p(s) = 0.
-114, 0
Let t(n) be the first derivative of 3*n**4/5 - 74*n**3/15 + 56*n**2/5 - 10*n + 580. Suppose t(x) = 0. Calculate x.
1, 25/6
Let t(i) be the first derivative of -7*i**3 + 87*i**2 - 48*i - 388. Let t(u) = 0. Calculate u.
2/7, 8
Suppose -91*u + 20 = -87*u. Let s be ((-4)/(-30))/(u/50). Factor s + 59/3*r**2 - 35/3*r**3 - 28/3*r.
-(r - 1)*(5*r - 2)*(7*r - 2)/3
Let m(g) be the second derivative of -335*g**4/12 + 5*g**3 - 226*g. Suppose m(t) = 0. Calculate t.
0, 6/67
Let i be 394/30 - 1 - ((-255)/45 + 5). Factor 24/5*c**4 + 8/5 + 56/5*c**3 + i*c**2 + 4/5*c**5 + 36/5*c.
4*(c + 1)**4*(c + 2)/5
Let m = 11966 + -23931/2. Determine g, given that -g**2 - 7/2*g - 3/2 + 5/2*g**4 + 3*g**3 + m*g**5 = 0.
-3, -1, 1
Let b(s) be the first derivative of -s**4/7 + 8*s**3/3 + 40*s**2/7 - 2400*s/7 - 514. Solve b(l) = 0.
-6, 10
Suppose -5*r - 14 + 239 = 0. Factor 20 + h**3 + 15*h + 8*h**3 + h**3 - r*h**2.
5*(h - 4)*(h - 1)*(2*h + 1)
Let a(h) = -250*h + 2880. Let u(j) = j**2 - 248*j + 2880. Let c(o) = -4*a(o) + 5*u(o). Factor c(f).
5*(f - 24)**2
Let v = 1893/56 - 234/7. Let -v*x**3 - 3 - 21/4*x - 21/8*x**2 = 0. Calculate x.
-4, -2, -1
Suppose 11/5*d**2 + 8/5*d + 1/5*d**4 - 12/5 - 8/5*d**3 = 0. What is d?
-1, 1, 2, 6
Let d(n) = 3*n**3 - n**2 + n + 5. Let s(t) = -3*t**3 - t**2 - t - 3. Let w(r) = -2*d(r) - 3*s(r). What is m in w(m) = 0?
-1, 1/3
Let m be (-16)/6 - 3640/(-1050). Factor -4*y - m*y**2 - 16/5.
-4*(y + 1)*(y + 4)/5
Factor -3/7*h**3 + 45/7*h**2 + 3/7*h - 45/7.
-3*(h - 15)*(h - 1)*(h + 1)/7
Let n be -1 + (-6)/15 + 148/20. Let o be (2/n)/(9 - 8). Suppose 1/6*c**2 + 0 - o*c = 0. Calculate c.
0, 2
Let u(h) be the second derivative of -h**7/3780 + h**6/120 + h**5/18 - 3*h**4/2 - 2*h. Let b(t) be the third derivative of u(t). Factor b(k).
-2*(k - 10)*(k + 1)/3
Let t(u) be the third derivative of 0 + 0*u + 1/21*u**4 + 0*u**6 + 1/35*u**5 + 0*u**3 - 14*u**2 - 2/735*u**7. Factor t(c).
-4*c*(c - 2)*(c + 1)**2/7
Suppose -7 = -0*b + b - 3*m, 3*b = 5*m - 5. Find r, given that -r**2 - b + 0*r + 3*r + 2*r - 11*r = 0.
-5, -1
Let p = -21 - -11. Let t be -6*((-2)/(-14))/(p/35). Factor 3/2*z**3 + 0 - t*z**2 + 3/2*z.
3*z*(z - 1)**2/2
Let s = -162130 - -18482539/114. Let c = 2/57 - s. Solve 1/2*l + 2*l**5 - c*l**3 - 3/2*l**4 + 0 + 3/2*l**2 = 0.
-1, -1/4, 0, 1
Solve -17/3*y - 1/9*y**3 - 3*y**2 - 25/9 = 0.
-25, -1
Suppose 11*u = -66, 3*j - 8*u = -5*u + 18. Let i(d) = -d**3 + 5*d**2 - 4*d + 2. Let f be i(4). Factor 2/13*l**3 + 0 + j*l + 2/13*l**f.
2*l**2*(l + 1)/13
Let k(z) = 12*z**3 - 24*z**2 + 15*z. Let a be 2 - (2/2 + 1). Let u be 8/(a + 4) + -1. Let h(n) = -n**3 + n**2 - n. Let l(d) = u*k(d) + 15*h(d). Factor l(w).
-3*w**2*(w + 3)
Let p(m) be the third derivative of 0*m**3 - 1/150*m**5 - 2*m**2 + 0 - 1/30*m**4 + 0*m. What is t in p(t) = 0?
-2, 0
Let s(x) be the second derivative of -x**7/2520 + x**6/1080 - 4*x**3/3 + 2*x. Let f(g) be the second derivative of s(g). Factor f(y).
-y**2*(y - 1)/3
Let o(f) = -f + 5. Let i be o(5). Let n be 55/(-110)*(-4 + 4). What is m in n*m + 1/2*m**2 + i = 0?
0
Let w = -38372/5 - -7675. Factor 9/5*g + 6/5 + w*g**2.
3*(g + 1)*(g + 2)/5
Let k(g) = 23*g**3 - 41*g**2 + 30*g - 29. Let l = -9 - -5. Let v = 13 - l. Let i(j) = -8*j**3 + 14*j**2 - 10*j + 10. Let n(x) = v*i(x) + 6*k(x). Factor n(o).
2*(o - 2)*(o - 1)**2
Let n = 16 - 17. Let w be (-4)/n + (-8)/(7 + -3). Factor 0 + 2/3*s - 2*s**w - 8/3*s**3.
-2*s*(s + 1)*(4*s - 1)/3
Suppose -l - 100 = -r, 5*l + 109 = r + l. Factor -83*n**2 + 16*n**3 + r - 33 - 41*n**2 + 162*n + 62*n.
4*(n - 4)**2*(4*n + 1)
Suppose 3*c + 65 = -5*i + 56, -2*c = 3*i + 6. Let z(j) be the first derivative of -j**3 + i*j + 8 + 0*j**2 - 1/8*j**6 - 3/4*j**5 - 3/2*j**4. Factor z(s).
-3*s**2*(s + 1)*(s + 2)**2/4
Suppose 78*l + 6*l**2 - 22*l - 2*l - 3*l**3 + 3*l**2 = 0. Calculate l.
-3, 0, 6
Suppose 1 = 6*r - 23. Let s(h) be the second derivative of 0*h**2 + 1/20*h**5 - 1/3*h**3 + 1/12*h**r - 4*h + 0. Solve s(x) = 0 for x.
-2, 0, 1
Let l = 8/571 + 555/1142. Factor -l*z**5 - 3/2*z**4 - 1/2*z**2 + 0 - 3/2*z**3 + 0*z.
-z**2*(z + 1)**3/2
Let w be (-15)/(-75) + 19/5. Let a(o) be the third derivative of 1/350*o**7 + 1/150*o**5 + 0*o**3 + o**2 - 1/120*o**6 + 0*o**w + 0*o + 0. Solve a(b) = 0 for b.
0, 2/3, 1
Let q = -18145 - -126720/7. Let s = -42 - q. Let 0 + 1/7*u + 1/7*u**4 - 1/7*u**2 - s*u**3 = 0. What is u?
-1, 0, 1
Let t be 3/6 - 21/(-144)*-2. Let h(c) be t