be ((-2)/(-45))/(2*8/2000). Factor -q - 2/9*h**2 - 20/9*h.
-2*(h + 5)**2/9
Suppose j + 3*j = 80. Suppose -j = 25*z - 35*z. Factor 2/13*i**z + 6/13*i + 0.
2*i*(i + 3)/13
Let d(r) be the third derivative of -r**5/60 + 11*r**4/24 + 3*r**2 - 7*r. Factor d(c).
-c*(c - 11)
Suppose -3*n - 3*n = -18. Factor -6*d**3 + 24*d**5 - 12*d**5 + n*d - 3*d**5 - 6*d**5.
3*d*(d - 1)**2*(d + 1)**2
Let o(u) = u**2 + 14*u + 11. Let n be o(-13). Let a be (-4)/(-3)*(-3)/n. Factor -6*p + 2*p**2 + 2*p**a - p**2 + 0*p.
3*p*(p - 2)
Determine x, given that 2*x**3 + 34/3*x**2 - 10/3*x**4 + 0 + 20/3*x - 2/3*x**5 = 0.
-5, -1, 0, 2
Suppose 30 = 5*h + 20. Solve -2*v**2 + 10*v - 8 - v**h + v**2 = 0 for v.
1, 4
Solve 2*n**3 - 20*n**3 + 15*n**3 - 84*n + 48*n**2 = 0.
0, 2, 14
Solve -104/9 - 2/9*o**3 - 4*o**2 - 46/3*o = 0 for o.
-13, -4, -1
Let -1 - 5/4*p**2 - 9/4*p = 0. What is p?
-1, -4/5
Let n = -2575 - -2577. Determine o, given that 2/13 - 2/13*o**n + 0*o = 0.
-1, 1
Let x(l) be the first derivative of -3*l**5/5 - 3*l**4 + 3*l**3 + 15*l**2 - 24*l + 51. Factor x(u).
-3*(u - 1)**2*(u + 2)*(u + 4)
Let l(c) be the third derivative of 1/30*c**4 - 8/525*c**7 - 8/15*c**3 + 0 + 1/420*c**8 - 1/75*c**6 + 8/75*c**5 - 40*c**2 + 0*c. What is n in l(n) = 0?
-1, 1, 4
Let j(k) = 53*k - 53. Let u be j(1). Factor -3*c**4 - c**3 + 0 + 0*c**2 + u*c - 9/4*c**5.
-c**3*(3*c + 2)**2/4
Let v(k) be the first derivative of -12/11*k**2 + 19 - 72/11*k - 2/33*k**3. Factor v(y).
-2*(y + 6)**2/11
Let v(d) be the first derivative of -2*d**3/21 - 108*d**2/7 - 5832*d/7 + 5. Suppose v(o) = 0. Calculate o.
-54
Let i(q) be the first derivative of q**3/12 + q**2/2 + q + 59. Factor i(n).
(n + 2)**2/4
Let f = 8555 + -8555. Let 0 + 0*g**3 - 2/5*g**2 + 2/5*g**4 + f*g = 0. Calculate g.
-1, 0, 1
Let x(s) be the first derivative of 5*s**6/6 + 5*s**5 + 45*s**4/4 + 35*s**3/3 + 5*s**2 + 40. Factor x(k).
5*k*(k + 1)**3*(k + 2)
Suppose -2*t - 5*t = -3*o - 4*t, -t = -3*t. Find s such that 0*s + o*s**2 + 2/7*s**4 + 0 - 1/7*s**3 - 1/7*s**5 = 0.
0, 1
Let q(w) be the first derivative of 2*w**3/21 + w**2 + 24*w/7 - 164. Suppose q(m) = 0. Calculate m.
-4, -3
Let j = -369611/13 - -28433. Suppose 0 - 4/13*c + j*c**3 + 14/13*c**2 = 0. Calculate c.
-1, 0, 2/9
Let y(p) be the second derivative of -p**7/14 + p**6/2 - 6*p**5/5 + p**4 + 371*p. Suppose y(u) = 0. What is u?
0, 1, 2
Let q = -55882/5 + 11178. Find c such that q*c**2 + 4/5*c**3 + 0 - 4/5*c**4 + 0*c = 0.
-1, 0, 2
Let d be (-1 - -49)*(-2 + (-1 - -2)). Let y be 6/d + (-21)/(-40). Factor 2/5*n**4 - 4/5*n**2 - 4/5*n**3 + 2/5 + y*n**5 + 2/5*n.
2*(n - 1)**2*(n + 1)**3/5
Let v(h) = h**3 - 24*h**2 - 20*h - 123. Let j be v(25). Let a(g) be the first derivative of 9/10*g**j - 1/5*g**3 - 10 - 6/5*g. Factor a(w).
-3*(w - 2)*(w - 1)/5
Suppose 0 = 105*l + 101*l - 0 - 0. Factor 1/3*y + l + 5/6*y**2.
y*(5*y + 2)/6
Factor -111*t**2 - 4*t**4 - 2 - 89*t**4 - 78*t - 6 + 115*t**2 - 209*t**3 - 13*t**5 - 203*t**2.
-(t + 1)**3*(t + 4)*(13*t + 2)
Let b(c) be the second derivative of -32*c + 0*c**4 + 3/20*c**5 + 0*c**3 + 0*c**2 + 0. Factor b(x).
3*x**3
Let f = -72 + 72. Suppose f = -3*k - 5*j + 1 + 24, 17 = 3*k + j. Determine z so that 2/11 - 4/11*z + 8/11*z**k - 4/11*z**3 - 16/11*z**2 + 14/11*z**4 = 0.
-1, 1/4, 1
Let d(a) be the second derivative of -a**8/2184 + a**6/260 + a**5/195 - 9*a**2/2 - a. Let v(n) be the first derivative of d(n). Find g, given that v(g) = 0.
-1, 0, 2
Let p = -3907 + 3909. Find h such that 2/11*h**3 - 2/11*h - 2/11*h**p + 2/11 = 0.
-1, 1
Let n(q) = q**3 + q**2 + q + 6. Let j be n(0). Suppose j*m - 43 = -13. Factor m*b**2 + 34*b + 14 - 23*b + 1 + 9*b.
5*(b + 1)*(b + 3)
Let g(o) be the second derivative of -3*o**5/40 - 19*o**4/24 - 3*o**3 - 5*o**2 - 35*o. Factor g(i).
-(i + 1)*(i + 2)*(3*i + 10)/2
Let r be (-4)/((-6 - 1) + 0). Suppose 8/7*x - 4/7*x**2 - r = 0. Calculate x.
1
Factor -10 + 3*o + 60*o**2 - 8*o + 5*o**3 - 50*o**2.
5*(o - 1)*(o + 1)*(o + 2)
Let s(f) be the second derivative of -f**5/90 + 7*f**4/9 - 196*f**3/9 + 14*f**2 + 4*f + 6. Let k(g) be the first derivative of s(g). What is z in k(z) = 0?
14
Suppose 3*f + 9*f = 60. Suppose k = f*z - 7, -4*k - 2*z + 19 = k. Factor -2/5*a**k + 0 - 1/5*a**2 - 1/5*a**4 + 0*a.
-a**2*(a + 1)**2/5
Suppose q + 4*m - 236 = -0*q, 4*q + 3*m - 944 = 0. Let x = -236 + q. Solve -2/11*d**5 + 2/11*d**3 - 4/11*d**2 + x + 0*d + 4/11*d**4 = 0 for d.
-1, 0, 1, 2
Let x(j) = -7*j**2 - 10*j - 3. Let y(z) = 4*z**2 + 5*z + 1. Let g(p) = 6*x(p) + 10*y(p). Factor g(k).
-2*(k + 1)*(k + 4)
Let w = 102 + -246. Let y = 1010/7 + w. Factor -4/7 - y*d**4 - 18/7*d**2 - 2*d - 10/7*d**3.
-2*(d + 1)**3*(d + 2)/7
Let l(u) = u**2 - 7*u. Let q be l(7). Let y be (q/(0 - -1))/2. What is a in 5*a**3 - 4*a**3 + y*a**3 + 3*a**2 + 2*a = 0?
-2, -1, 0
Factor 25*j**3 - 25*j + 73*j**2 + 5*j**4 - 118*j**2 - 40*j**3.
5*j*(j - 5)*(j + 1)**2
Let k(z) be the second derivative of 11*z**5/30 + 3*z**4/4 - 2*z**3/3 - 4*z**2 - 18*z. Let i(n) be the first derivative of k(n). Factor i(h).
2*(h + 1)*(11*h - 2)
Suppose 4/5*f**5 + 972/5 - 72/5*f**3 - 216/5*f**2 + 324/5*f + 12/5*f**4 = 0. Calculate f.
-3, 3
Let a(b) = -b**2 + 12*b - 17. Let m be a(10). Factor 6*n**3 - 5*n**m + n - 3*n**3 + n**3.
-n*(n - 1)*(n + 1)
Let b(r) = 1. Suppose -57*j = -55*j + 2. Let i(p) = 2*p**3 - 2*p + 2. Let a(h) = j*i(h) + 2*b(h). Factor a(v).
-2*v*(v - 1)*(v + 1)
Let o(y) be the first derivative of -1/4*y**4 + 12 + 1/2*y + 1/2*y**2 - 1/6*y**3. Factor o(l).
-(l - 1)*(l + 1)*(2*l + 1)/2
Let h = -41 - -45. Solve -13*q**3 + 13*q**3 + 3*q**4 + q**h - 8*q**2 + 4 = 0.
-1, 1
Let c be -161*(-23)/4545 + (-4)/10. Let n = c - -3/101. Factor -2/9*q - 2/9*q**2 + n.
-2*(q - 1)*(q + 2)/9
Let r(c) be the third derivative of -c**8/672 + c**7/210 + c**6/120 - c**5/30 - c**4/48 + c**3/6 - 11*c**2. Solve r(f) = 0.
-1, 1, 2
Factor 16*c**2 + 2/3*c**4 - 22/3*c**3 + 0 + 24*c.
2*c*(c - 6)**2*(c + 1)/3
Let k = 65/2 - 121/4. Let j(x) be the first derivative of k*x**3 + 14 + 3/16*x**4 + 81/8*x**2 + 81/4*x. What is m in j(m) = 0?
-3
Let n(b) = 2*b**4 + 12*b**3 + 6*b**2 + 8*b + 4. Let p(t) = -681*t**3 - t + 682*t**3 + 1 - t**2 + 2*t. Let v(d) = n(d) - 4*p(d). Factor v(q).
2*q*(q + 1)**2*(q + 2)
Let c(h) = -h**3 - 15*h**2 + 46*h + 483. Let a be c(-16). Solve 2/13*x**2 + 0*x**a + 0 + 0*x - 2/13*x**4 = 0 for x.
-1, 0, 1
Let i(n) be the first derivative of n**4 + 0*n - 2*n**2 + 2/5*n**5 - 21 - 2/3*n**3. Factor i(d).
2*d*(d - 1)*(d + 1)*(d + 2)
Let n = -62/17 + 254/51. Factor 1/3*q**3 - 2/3 + 5/3*q - n*q**2.
(q - 2)*(q - 1)**2/3
Let r(y) = -17*y**2 - 29*y - 53. Let g(i) = 15*i**2 + 28*i + 52. Let v(u) = 9*g(u) + 8*r(u). Factor v(q).
-(q - 22)*(q + 2)
Let x(c) be the third derivative of c**8/26208 - c**7/32760 - c**5/30 - 2*c**2. Let u(r) be the third derivative of x(r). What is o in u(o) = 0?
0, 1/5
Let k = -101 + 105. Let g(t) be the third derivative of 0 + 2/15*t**3 - 1/30*t**k + t**2 + 0*t + 1/300*t**5. Suppose g(h) = 0. Calculate h.
2
Suppose 8*r - 9*r = 5*v - 18, 0 = -4*v + 2*r + 6. Let 428/5*j**2 + 72/5*j**4 + 152/5*j + 16/5 + 322/5*j**v = 0. Calculate j.
-2, -1/4, -2/9
Let n(r) = -r**2 - 28*r - 187. Let q be n(-11). Factor 0 + q*f**3 - 1/4*f**4 + 0*f + 1/4*f**2.
-f**2*(f - 1)*(f + 1)/4
Suppose 2*x - 346 = 102. Let j be 3/(-7) - (-432)/x. Factor -2*m - 1/2*m**2 - j.
-(m + 1)*(m + 3)/2
Let l be 16/12*(-6)/(-84). Let w(j) be the third derivative of -7*j**2 + 0 + 0*j - l*j**4 + 4/21*j**3 - 1/420*j**6 + 1/42*j**5. Factor w(o).
-2*(o - 2)**2*(o - 1)/7
Let u(h) = -2*h + 7*h + 4*h - 12. Let d(m) = -m**2 - 26*m + 35. Let q(f) = -3*d(f) - 8*u(f). Factor q(b).
3*(b - 1)*(b + 3)
Let x(a) be the second derivative of 0 + 1/49*a**7 - 2/21*a**6 + a + 0*a**4 - 5/21*a**3 + 1/7*a**5 + 2/7*a**2. Factor x(i).
2*(i - 1)**4*(3*i + 2)/7
Let p be ((-1)/6)/(11/(-27) - (-130)/1755). Find u, given that 0*u - 1/2*u**2 + p = 0.
-1, 1
Let i(r) be the first derivative of r**8/2520 - r**7/315 + r**6/135 - 4*r**3 + 4. Let q(g) be the third derivative of i(g). Factor q(m).
2*m**2*(m - 2)**2/3
Let d(f) be the second derivative of -f**6/240 + f**5/120 - f**4/192 - 5*f**2 + 11*f. Let l(c) be the first derivative of d(c). Factor l(j).
-j*(2*j - 1)**2/8
Let 3/2*h + 2 - 1/2*h**2 = 0. What is h?
-1, 4
Let a(x) = x**3 + 5*x**2 - 7. Let d be a(-7). Let w = -93 - d. Suppose 4 - w*f**2 + 4