e o(1). Suppose 3*r + 2*m - 20 = 0, 13*r - 8*r + 5*m = 40. Factor 5*i**l - 3*i**r + i**4 + i**2 + 6*i**3 + 2*i**2.
3*i**2*(i + 1)**2
Let b = 22048 + -22045. Factor 32/3*c**b + 16/3*c**2 + 0 + 0*c + 20/3*c**4 + 4/3*c**5.
4*c**2*(c + 1)*(c + 2)**2/3
Let v = -2 - -6. Let w(m) = -m**3 - 6*m**2 - m - 3. Let a be w(-6). Factor v*s**2 - a*s**2 + s**2.
2*s**2
Let s = 264 - 257. Let v(j) be the third derivative of 0*j + j**2 - 1/80*j**6 + 0*j**4 + 1/420*j**s + 0 + 1/60*j**5 + 0*j**3. Solve v(n) = 0.
0, 1, 2
Factor 173*l**2 + 61*l + 158 - 176*l**2 + 167*l + 73.
-3*(l - 77)*(l + 1)
Factor 6 + 6*x - 189/2*x**2.
-3*(7*x - 2)*(9*x + 2)/2
Let i(c) be the first derivative of -3*c**4/28 + 8*c**3/7 + 3*c**2/14 - 24*c/7 + 125. Factor i(g).
-3*(g - 8)*(g - 1)*(g + 1)/7
Let h(v) be the first derivative of 1/7*v**2 - 4/21*v**3 - 30 + 0*v + 1/14*v**4. Find r, given that h(r) = 0.
0, 1
Let z(b) be the third derivative of b**8/8640 + 11*b**7/15120 + b**6/540 - 3*b**5/10 - 8*b**2. Let a(d) be the third derivative of z(d). Factor a(t).
(t + 1)*(7*t + 4)/3
Suppose -5 = -5*b, 5*y + 10*b - 14*b - 11 = 0. Let p(j) be the third derivative of 4/3*j**y + 0 + 1/6*j**4 + 0*j - 8/15*j**5 + 5*j**2 + 1/6*j**6. Factor p(o).
4*(o - 1)**2*(5*o + 2)
Factor 5*r**3 - 5*r**2 - 7 - 75*r - 168 - 110*r.
5*(r - 7)*(r + 1)*(r + 5)
Factor 2*i - 8/3 + i**2 - 1/3*i**3.
-(i - 4)*(i - 1)*(i + 2)/3
Let a be 2/(3/3*1). Suppose -a*q + 3*q = 2. Let -2*l**q + 4 + 3*l - 4*l - l = 0. Calculate l.
-2, 1
Let o(l) be the first derivative of 2*l**5/15 + 2*l**4/3 - 4*l**3/3 - 4*l**2/3 + 10*l/3 + 73. Factor o(w).
2*(w - 1)**2*(w + 1)*(w + 5)/3
Let i(r) be the first derivative of r**6/210 - r**5/105 + 19*r**2/2 - 22. Let c(x) be the second derivative of i(x). Solve c(y) = 0 for y.
0, 1
Let u = 31 + 11. Let n be (-2)/3*u/(-10). Factor 2*y - 2/5 + 6/5*y**3 - n*y**2.
2*(y - 1)**2*(3*y - 1)/5
Let r be 3 + 0 + -7 + -4. Let a be -1 + (-2)/(r/12). Factor 3*b**3 - 2*b**3 + b**3 - a*b**2 - 2*b + 2.
2*(b - 1)**2*(b + 1)
Let x = -114 - -65. Let c be (-280)/x - 4/(-14). Suppose -w**2 + w + 2*w - c*w - 2*w**2 = 0. Calculate w.
-1, 0
Factor -2/5*v**3 + 4/5*v - 2/5*v**2 + 0.
-2*v*(v - 1)*(v + 2)/5
Let p(a) be the first derivative of 12*a + 1 + 4/3*a**3 + 10*a**2 - a**4. Factor p(t).
-4*(t - 3)*(t + 1)**2
Let k(l) = 155*l**3 - 3865*l**2 - 5475*l - 1290. Let a(t) = 11*t**3 - 276*t**2 - 391*t - 92. Let d(o) = -55*a(o) + 4*k(o). Find g, given that d(g) = 0.
-1, -1/3, 20
Let j(i) be the second derivative of -i**6/72 + i**5/4 + 13*i**3/3 + 10*i. Let y(x) be the second derivative of j(x). Determine q so that y(q) = 0.
0, 6
Let t(r) be the third derivative of 1/36*r**4 - 4*r**2 + 0*r**3 + 0*r + 1/360*r**6 + 0 + 1/60*r**5. Factor t(w).
w*(w + 1)*(w + 2)/3
Let l(u) = u**3 + 5*u**2 + u - 4. Let d be l(-4). Solve -76 + 4*v**4 - v - 8*v**3 + 72 + v + d*v = 0.
-1, 1
Let g = -6212 - -6214. Factor -24/5*f**g - 16/5 - 36/5*f - 4/5*f**3.
-4*(f + 1)**2*(f + 4)/5
Suppose -9 - 6 = -5*g. Let l be 2/g - 3/((-45)/65). Suppose 0*s - 64/3*s**3 - 154/3*s**4 - 8/3*s**2 + 0 - 98/3*s**l = 0. What is s?
-1, -2/7, 0
Factor 9/4 - 1/4*y**2 + 0*y.
-(y - 3)*(y + 3)/4
Let b = 118291/13 - 9099. Factor 0*f**4 + 6/13*f**3 - 2/13*f**5 + b*f**2 + 0*f + 0.
-2*f**2*(f - 2)*(f + 1)**2/13
Let n(j) be the second derivative of -j**4/3 + 844*j**3/3 - 89042*j**2 - 17*j + 17. Factor n(b).
-4*(b - 211)**2
Let c = -3/295 - -313/1770. Let z(h) be the second derivative of 12*h + 0 - 1/15*h**5 - 1/12*h**4 - c*h**2 + 2/9*h**3 + 2/45*h**6. Factor z(x).
(x - 1)*(x + 1)*(2*x - 1)**2/3
Let p(j) = -j**3 + 5*j + 8. Let m be p(-2). Factor 6*x**2 + 5*x**4 + m*x**3 - 3*x**4 - 12*x**3 - 2*x**2.
2*x**2*(x - 2)*(x - 1)
Let t(r) = 2*r**2 + 3*r. Let i be t(-2). Suppose 0 = -4*x - 2*a + 8, -i*a + 3 = 5*x - 7. Solve 8*o + 18*o**3 + 5*o + 21*o**x - 7*o = 0 for o.
-2/3, -1/2, 0
Factor -48 + 44/3*y**2 - 32*y - 4/3*y**3.
-4*(y - 6)**2*(y + 1)/3
Suppose -45673 + 11*f**2 - 7*f**2 - 8*f**2 - 988*f - 2727 + 108*f = 0. What is f?
-110
Find z such that -42*z**4 + 6*z**4 + 7*z**4 + 5*z**4 - 40*z**2 - 12*z - 4*z**5 - 48*z**3 + 0*z**4 = 0.
-3, -1, 0
Determine v, given that 6 + 15/2*v**2 + 12*v + 3/2*v**3 = 0.
-2, -1
Let j = -12 - -29. Suppose 0 = 6*d + 5 - j. Determine z so that 7*z**d - 28*z**3 + 2*z - 10*z**5 - 1/2 + 59/2*z**4 = 0.
-1/4, 1/5, 1
Let n(g) be the third derivative of -g**7/210 - g**6/60 + g**5/15 + g**4/3 + 9*g**2 - 5*g. Factor n(y).
-y*(y - 2)*(y + 2)**2
Let r(p) = -5*p**3 + 230*p**2 + 280*p + 15. Let a(q) = -q**3 + 33*q**2 + 40*q + 2. Let s(l) = -15*a(l) + 2*r(l). Factor s(z).
5*z*(z - 8)*(z + 1)
Suppose 3*x - 6*o = -3*o + 147, 3*o = 2*x - 97. Factor x*p + 5*p**2 + p**4 - 18*p**3 - 11*p**3 + 21*p**3.
p*(p - 5)**2*(p + 2)
Let g(a) = -2*a**4 + 18*a**3 + 15*a**2 - 61*a + 30. Let i(u) = -5*u**4 + 35*u**3 + 30*u**2 - 120*u + 60. Let c(s) = 5*g(s) - 3*i(s). What is l in c(l) = 0?
-2, 1, 3
Let z(a) = -4*a**2 - 2*a + 8. Let t be (-6)/(-15)*(-13 + -2). Let m(f) = 8*f**2 + 3*f - 16. Let i(u) = t*m(u) - 11*z(u). Factor i(c).
-4*(c - 2)*(c + 1)
Let f(g) be the second derivative of g**9/52920 + g**8/11760 + g**4/12 + 12*g. Let p(y) be the third derivative of f(y). Factor p(t).
2*t**3*(t + 2)/7
Let s be (20/(-28) - -1)*(-11 + (-276)/(-24)). Find x such that 1/7*x**4 + s*x - 2/7*x**2 + 1/7*x**5 + 1/7 - 2/7*x**3 = 0.
-1, 1
Let t(l) = 10*l**2 - 8*l - 10. Let h(v) = -v**2 + 3*v - 1. Let q(f) = -8*h(f) - t(f). Factor q(s).
-2*(s - 1)*(s + 9)
Factor 23/3 - 15/2*d - 1/6*d**2.
-(d - 1)*(d + 46)/6
Factor -x**4 + 0*x**4 - 88*x**2 - 3*x**4 - 12891*x + 92 + 12795*x + 96*x**3.
-4*(x - 23)*(x - 1)**2*(x + 1)
Suppose 0 = 2*b - 11 - 31. Let k = b - 5. Factor 2/3*h + 4*h**2 + 2/3*h**3 + 32/3*h**5 - k*h**4 + 0.
2*h*(h - 1)**2*(4*h + 1)**2/3
Let g(n) = -n**3 + 6*n**2 + 7*n - 2. Let x be g(7). Let i be ((-2)/x)/13*(-4 + 6). Factor -8/13*f + i*f**2 + 8/13.
2*(f - 2)**2/13
Let j(c) = c**3 - 7*c**2 - 7*c - 5. Let m be j(8). Factor m*q**2 - 2 - 8*q - 4*q**2 - 2 - 3*q**2.
-4*(q + 1)**2
Let w(s) = -s**2 - 7*s - 4. Let a be w(-6). Suppose -4 = -2*n + a. Let 3*d**4 - 3*d**4 + 3*d**2 - n*d**3 + 0*d**4 + d**4 - d = 0. Calculate d.
0, 1
Let i(g) be the second derivative of -3*g**5/40 - g**4/8 + g**3 + 3*g**2 - 61*g. Factor i(d).
-3*(d - 2)*(d + 1)*(d + 2)/2
Factor -6/11*f**2 + 2/11*f**4 + 36/11*f + 0 - 8/11*f**3.
2*f*(f - 3)**2*(f + 2)/11
Suppose 9/4*m - 81/8 - 1/8*m**2 = 0. Calculate m.
9
Let g = 23 - 18. Let l(k) = 4*k**4 + 13*k**3 - 4*k**2 + k. Let t(v) = -3*v**4 - 9*v**3 + 3*v**2 - v. Let y(c) = g*l(c) + 7*t(c). Factor y(z).
-z*(z - 2)*(z - 1)*(z + 1)
Let k = -9 - -26. Suppose -11 = -7*s + k. Factor -2*h**2 + 2 + 15*h**2 - 8*h**3 + h**s - h**2 + h**4 - 8*h.
2*(h - 1)**4
Factor 4658*c**3 - 111*c**2 + 10*c - 5*c**4 + 26*c + 14*c**4 - 4652*c**3.
3*c*(c - 3)*(c + 4)*(3*c - 1)
Let u(l) be the first derivative of l**4/10 - 7*l**2/5 - 12*l/5 - 14. Solve u(o) = 0 for o.
-2, -1, 3
Let f(w) be the second derivative of -w**5/330 + 6*w**2 - 7*w. Let o(t) be the first derivative of f(t). Factor o(m).
-2*m**2/11
Let z = 129/5 - 127/5. Let f = -4/1901 - -11426/9505. Find u, given that -z*u**2 + f*u - 4/5 = 0.
1, 2
Let q(v) be the first derivative of -v**6/15 - 16*v**5/25 - 8*v**4/5 - 4*v**3/15 + 17*v**2/5 + 4*v + 73. What is d in q(d) = 0?
-5, -2, -1, 1
Let l(f) = 10*f**5 - 30*f**4 + 15*f**3 + 45*f**2 + 5. Let m(q) = 11*q**5 - 31*q**4 + 15*q**3 + 45*q**2 + 6. Let j(u) = 6*l(u) - 5*m(u). Factor j(n).
5*n**2*(n - 3)**2*(n + 1)
Factor -90/7*a**3 + 39/7*a**2 + 60/7*a + 12/7 + 27/7*a**4.
3*(a - 2)**2*(3*a + 1)**2/7
Let d be ((-4)/(-2) - 1)*(-6 - -36). Let t be (-20)/(-18)*18/d. Factor -t - 2*i - 4/3*i**2.
-2*(i + 1)*(2*i + 1)/3
Let t be ((-996)/30 - -5)*5. Let p = t - -143. Factor -2/3*h**4 + 0*h**p + 2/3*h**5 + 0 + 0*h - 4/3*h**3.
2*h**3*(h - 2)*(h + 1)/3
Let z(q) be the third derivative of 1/54*q**4 + 1/540*q**6 + 0*q**3 + 1/90*q**5 + 0 + 6*q**2 + 0*q. Determine g so that z(g) = 0.
-2, -1, 0
Let 2*z**3 - 2*z**2 + 13/5*z**4 - 3/5 + 3/5*z**5 - 13/5*z = 0. What is z?
-3, -1, -1/3, 1
Let u(l) = 47*l**5 + 60*l**4 - 125*l**3 - 47*l**2 + 75*l - 13. Let n(f) = f**5 + f**3 + f**2 - f - 1. Let t(z) = 3*n(z) + u(z). Solve t(x) = 0.
-2, -1, 2/5, 1
Let a = 11 - -5. Factor a - 10*k - k**3 - 4*k**2 + k**3 + 4*k**3 - 6*k.
4*(k - 2)*(k - 1)*(k + 2)
Let a(k) be the