1/195*x**6 + 0 + 0*x**3 + 0*x. Factor f(g).
2*g*(g - 1)*(g + 1)*(g + 4)/13
Let t(h) be the second derivative of 1 - 49/15*h**3 - 7/15*h**4 - 5*h + 0*h**2 - 1/50*h**5. Factor t(f).
-2*f*(f + 7)**2/5
Let b(a) be the third derivative of -a**6/20 - a**4/24 - a**3/3 - 2*a**2. Let q be b(-1). Factor -3*d**2 + 4*d**4 - d**3 + 5*d**2 - d**q - 4*d**3 + 0*d**3.
-d**2*(d - 2)*(d - 1)**2
Suppose 3*t + 49*t - 291 = -45*t. Factor 0 + 4/3*w**2 - 2*w + 2/3*w**t.
2*w*(w - 1)*(w + 3)/3
Let r be ((-282)/(-8))/3 + (-5)/(-20). Let y be 2/r*2 - 50/(-210). Factor 0*q**4 + 0*q**2 + 2/7*q + 0 - y*q**3 + 2/7*q**5.
2*q*(q - 1)**2*(q + 1)**2/7
Let x(c) = 4*c - 7. Let m be x(3). Suppose 3*i = m*n + 4*i, 3*n = -3*i. Determine o, given that 0 + 2/5*o**2 - 2/5*o**4 + n*o**3 + 1/5*o**5 - 1/5*o = 0.
-1, 0, 1
Let y(v) = -10*v**3 + 35*v**2 - 35*v + 10. Let l = 31 + -25. Let d(o) = 10*o**3 - 35*o**2 + 35*o - 10. Let n(w) = l*d(w) + 5*y(w). Factor n(p).
5*(p - 2)*(p - 1)*(2*p - 1)
Let y(i) be the third derivative of -i**6/120 + i**5/12 + i**4/24 - 5*i**3/6 - 187*i**2. Suppose y(w) = 0. What is w?
-1, 1, 5
Let g be ((-4)/8)/((-14)/672). Let q(x) be the first derivative of 8*x + 14*x**3 - g*x**2 - 5 + 49/2*x**4. Determine d, given that q(d) = 0.
-1, 2/7
Let u(m) be the first derivative of m**6/2 - 12*m**5/5 + 9*m**4/4 + 4*m**3 - 6*m**2 - 108. Factor u(n).
3*n*(n - 2)**2*(n - 1)*(n + 1)
Let w(s) be the first derivative of -1/24*s**6 + 1/2*s**2 - 1/3*s**3 + 1/5*s**5 - 3/16*s**4 + 0*s + 16. Determine x, given that w(x) = 0.
-1, 0, 1, 2
Let x be ((-24)/20)/((-9)/15). Let s(r) be the third derivative of 0*r + 7/2*r**4 + 0 - 2*r**3 + 5*r**x - 49/20*r**5. Suppose s(i) = 0. Calculate i.
2/7
Let i(k) = k**4 - 2*k**3 + 13*k + 7. Let r(l) = -4*l**4 + 10*l**3 - 2*l**2 - 64*l - 34. Let z(t) = 14*i(t) + 3*r(t). Factor z(v).
2*(v - 2)*(v + 1)**3
Factor 12/5 - 6*q**2 + 86/5*q.
-2*(q - 3)*(15*q + 2)/5
Let r be 14/(-8) + 2 + 7/4. Factor 14*o + 2 - r*o**2 + 20*o - 36*o + 2*o**3 + 0*o**3.
2*(o - 1)**2*(o + 1)
Solve -15 + 69*b + 19*b**4 - 4*b + 55*b**3 - 29*b**4 - 95*b**2 = 0 for b.
1/2, 1, 3
Let f = 1/28610 - -801077/85830. Factor -2/3*a**3 - 40*a + f*a**2 + 48.
-2*(a - 6)**2*(a - 2)/3
Let c(j) = -j**3 - j**2 - j - 15. Let y be c(-6). Let w = 174 - y. Solve -2/7*z**4 - 4/7*z**2 + 6/7*z**w + 0*z + 0 = 0 for z.
0, 1, 2
Let a(i) = 72*i**3 - 447*i**2 - 3099*i - 3939. Let w(z) = -7*z**3 + 45*z**2 + 310*z + 394. Let y(c) = 2*a(c) + 21*w(c). Factor y(j).
-3*(j - 22)*(j + 2)*(j + 3)
Let t(i) be the third derivative of i**8/3360 - i**6/240 - i**5/120 + 7*i**3/6 + 12*i**2. Let f(y) be the first derivative of t(y). Factor f(x).
x*(x - 2)*(x + 1)**2/2
Let k(p) = -5*p**2 + 70*p - 62. Let w be k(13). Solve -4/13*c + 2/13*c**4 - 10/13*c**2 - 6/13*c**w + 0 + 2/13*c**5 = 0 for c.
-1, 0, 2
What is m in 13*m**2 - 8*m**2 - 23*m + 30 + 2*m**2 - 6*m**2 + 12 = 0?
2, 21
Suppose g**2 - 144 + 63 + 35 + 44 + 40 + 39*g = 0. Calculate g.
-38, -1
Suppose 36/5 + 1107/5*h**3 - 15*h**5 + 51*h**4 - 312/5*h + 429/5*h**2 = 0. Calculate h.
-2, -1, 1/5, 6
Let c = 3670 - 3668. Factor 27/4*a**c + 15/4*a**3 + 0 - 3/2*a.
3*a*(a + 2)*(5*a - 1)/4
Solve 0*i + 16/3*i**3 - 50/9*i**2 + 0 + 2/9*i**4 = 0 for i.
-25, 0, 1
Determine q, given that -8/9*q**5 - 2/9*q**2 + 0*q + 2/9*q**4 + 0 + 8/9*q**3 = 0.
-1, 0, 1/4, 1
Let g be 483/(-5) - (-12)/20. Let r = 385/4 + g. Determine i so that -1/2*i + 0*i**2 + 1/4*i**4 - r + 1/2*i**3 = 0.
-1, 1
Solve -24582 + d**3 - 24569 + 8*d**2 + 17*d + 49161 = 0.
-5, -2, -1
Let v(j) be the second derivative of j**7/5040 - j**6/480 - j**5/24 - j**4 - 42*j. Let z(q) be the third derivative of v(q). Factor z(m).
(m - 5)*(m + 2)/2
Let j = -57 - -51. Let x(w) = -w**2 - 8*w - 9. Let g be x(j). Factor -2/3 - 2/9*b**2 - 10/9*b + 2/9*b**g.
2*(b - 3)*(b + 1)**2/9
Let k = 98 - 96. Let y be (k/30*1)/(45/150). Let 2/9*r + 0 + y*r**3 - 4/9*r**2 = 0. Calculate r.
0, 1
Let 2248091/8 - 1/8*r**3 - 51483/8*r + 393/8*r**2 = 0. Calculate r.
131
Let -37/6*m + 17 + 1/6*m**2 = 0. What is m?
3, 34
Suppose -31 = -5*b - 3*i, -230*b + 38 = -225*b + 4*i. Solve 0 + 2*h - 2/3*h**b = 0.
0, 3
Let g(v) = v**2 - 3*v + 2. Let a be g(1). Let p(z) be the first derivative of a*z**2 + 6 - 2/5*z**5 + 0*z + 0*z**4 + 2/3*z**3. Factor p(o).
-2*o**2*(o - 1)*(o + 1)
Let w = -17/5 - -617/180. Let q(y) be the second derivative of 0*y**2 + y + 1/20*y**5 - 1/9*y**3 + w*y**4 + 0. Factor q(a).
a*(a + 1)*(3*a - 2)/3
Suppose 8 = -9*m + 35. Factor -3*b - 4*b**2 - b - 174*b**3 + 42*b**2 + 140*b**m.
-2*b*(b - 1)*(17*b - 2)
Suppose -3*y + 2*y = -4*k + 27, 3*k - 2*y - 14 = 0. Suppose i + k = 10. Suppose 1/7*n**i + 1/7*n**4 + 3/7*n - 2/7 - 3/7*n**3 = 0. What is n?
-1, 1, 2
Let z = -37 + 42. Factor 15 - 310*k - 5*k**z + 30*k**3 - 5*k**4 - 10*k**2 + 285*k + 0*k**5.
-5*(k - 1)**3*(k + 1)*(k + 3)
Suppose 5*w + 14 = 3*i, -2*i - 5*w = -0 - 26. Let a = i + -6. Solve -3*n**a - n**2 - 2 + 4*n + 2*n**2 = 0 for n.
1
Let z = 160 - 112. Suppose 0 = -21*h - 3*h + z. Let 0 - 1/2*g**4 - g - 5/2*g**2 - h*g**3 = 0. What is g?
-2, -1, 0
Let n = -5286 - -5289. Factor -9/2*p + 3 - 21/2*p**n - 18*p**2.
-3*(p + 1)**2*(7*p - 2)/2
Let o(a) = 24*a**2 + 37*a + 34. Let d(k) = -7*k**2 - 12*k - 11. Let w(q) = 14*d(q) + 4*o(q). Determine z, given that w(z) = 0.
-9, -1
Factor -4/3*n + 4/9*n**2 + 8/9.
4*(n - 2)*(n - 1)/9
Let w = 171 - 188. Let y(d) = d**2 + 15*d - 30. Let f be y(w). Let 2/13*x - 6/13*x**2 + 0 + 6/13*x**3 - 2/13*x**f = 0. What is x?
0, 1
Let m(g) be the second derivative of -g**6/10 + 9*g**5/20 + 3*g**4/4 - 7*g**3/2 - 9*g**2 + 46*g. Let m(h) = 0. What is h?
-1, 2, 3
Let r = 2/1917 - -1268/9585. Suppose -8/15*y + 0 - r*y**2 = 0. What is y?
-4, 0
Factor 8/3 - 760/9*j**2 + 1124/9*j.
-4*(2*j - 3)*(95*j + 2)/9
Suppose 0 = 4*j - 2*d - 17 - 7, 2*j + 3*d - 12 = 0. Let w be (-4)/(-8) - (j/(-4))/(-3). Let w + 2/13*l**3 + 0*l - 4/13*l**2 = 0. Calculate l.
0, 2
Let h be (-4)/(-14) - (-1720)/(-6216). Let c = h + 109/222. Determine k, given that -c*k**3 - 1/2*k**2 + 1/2*k**4 + 0*k + 0 + 1/2*k**5 = 0.
-1, 0, 1
Suppose 3406 = -2*p - 11*p. Let b = -259 - p. Factor -2/9*m**b + 2/9*m**2 - 2/9 + 2/9*m.
-2*(m - 1)**2*(m + 1)/9
Let j(f) be the third derivative of -f**6/60 - f**5/3 - 9*f**4/4 - 6*f**3 + 52*f**2. Factor j(n).
-2*(n + 1)*(n + 3)*(n + 6)
Let b(w) be the second derivative of -w**6/30 - 2*w**5/5 - 2*w**4 - 16*w**3/3 + 9*w**2/2 + 4*w. Let x(j) be the first derivative of b(j). What is a in x(a) = 0?
-2
Let p = -2/95 + 103/380. Let r(l) be the first derivative of 0*l - p*l**4 + 2/3*l**3 - 1/2*l**2 - 3. Suppose r(w) = 0. What is w?
0, 1
Let d = 8124/7 + -16227/14. Let d*t**2 - 6 + 9/2*t = 0. What is t?
-4, 1
Let d(a) = -9*a**2 + 116*a + 244. Let o(n) = -6*n**2 + 77*n + 163. Let f(y) = -5*d(y) + 8*o(y). Solve f(m) = 0 for m.
-2, 14
Suppose z - 28 = -4*u, 6*u = 2*u + 4. Factor -2 - 6*h + z*h**2 - 2 + 66*h**3 - 80*h**3.
-2*(h - 1)**2*(7*h + 2)
Let k(s) = -s**5 + s**3 - 2*s**2 + s - 1. Let t(c) = -5*c**5 + 8*c**4 - 30*c**2 + 9*c + 10. Let d(p) = 4*k(p) - t(p). What is f in d(f) = 0?
-1, 1, 2, 7
Suppose 0*m + 2*m = 0. Suppose -4 = -m*y - y. Let z(x) = 3*x**2 - 20*x + 6. Let l(h) = h**2 - 7*h + 2. Let w(i) = y*z(i) - 11*l(i). What is d in w(d) = 0?
1, 2
Let m(g) be the second derivative of 0 - 5/2*g**3 - 5/3*g**6 + 5*g**2 + 21/4*g**5 - 25/6*g**4 + 3*g. Find r, given that m(r) = 0.
-2/5, 1/2, 1
Let a(n) be the second derivative of -2*n**6/45 + 3*n**5/5 + n**4/9 - 2*n**3 - 692*n. Factor a(r).
-4*r*(r - 9)*(r - 1)*(r + 1)/3
Let q = 73 + 13. Let u = q + -86. Let 6/7*p**4 - 2*p**2 - 2/7*p**3 + 2/7*p**5 + u*p + 8/7 = 0. What is p?
-2, -1, 1
Let h = -25053/5 + 5011. Factor -4/5*l + 0 - h*l**2.
-2*l*(l + 2)/5
Let u be -2 + (3 + 43)*-4. Let c be u/(-66) + 2/11. Factor -3*w**c + 13*w - w + 0*w + 0*w**3.
-3*w*(w - 2)*(w + 2)
Let y(a) = -4*a - 1. Let g be y(-1). Let u(h) = 51*h**2 - 21*h**2 - 29*h**2. Let t(i) = 4*i**2 - 2*i + 1. Let k(c) = g*u(c) - t(c). Solve k(s) = 0.
1
Let w(o) = 23*o - 6*o - o - 13*o**2 - 25. Let r(p) be the first derivative of -p**3 + 2*p**2 - 6*p - 1. Let i(k) = -18*r(k) + 4*w(k). Factor i(n).
2*(n - 2)**2
Let u(d) be the third derivative of d**6/96 + 29*d**5/240 + 13*d**4/32 - 3*d**3/8 - 9*d**2 - 3*d. Find g such that u(g) = 0.
-3, 1/5
Let g(y) be the first derivative of -y**4/60 - y**3/30 + 8*y - 24. 