 the third derivative of q(h). Factor m(s).
(s - 2)*(s - 1)**2*(s + 1)/2
Let v = -12 + 205. Let a = v - 189. Factor 3/7*h + 27/7*h**2 - 6/7 - 39/7*h**3 + 15/7*h**a.
3*(h - 1)**3*(5*h + 2)/7
Let p(d) = -d**2 + 5*d - 35. Let m be p(9). Let v = m - -74. Determine i, given that -10/11*i**v + 8/11*i**2 + 0 + 2/11*i = 0.
-1/5, 0, 1
Let b = 41 + -38. Factor 199*l**2 + 4*l**b - 3 + 3 - 183*l**2.
4*l**2*(l + 4)
What is y in 6*y**2 - 1/6*y**3 - 72*y + 288 = 0?
12
Suppose 7*t**5 + 139*t**3 + 2846*t**4 - 55*t**2 - 35*t**2 + 16*t - 2918*t**4 = 0. Calculate t.
0, 2/7, 1, 8
Let n = 975 - 3899/4. Factor 0*k + 0 + n*k**2.
k**2/4
Let s(g) be the third derivative of -1/12*g**3 - 1/360*g**5 + 0 - 5/144*g**4 - 9*g**2 + 1/720*g**6 + 0*g. Factor s(p).
(p - 3)*(p + 1)**2/6
Let y(i) = -2*i**3 + 5*i**2 - i - 2. Let b = -9 - -15. Suppose 0 = -s + b*s - 15. Let h(f) = f**3 - f**2. Let v(k) = s*h(k) + y(k). Let v(t) = 0. Calculate t.
-2, -1, 1
Let t(s) be the second derivative of s**8/11760 - 2*s**7/2205 - s**6/420 + 3*s**5/35 + s**4/6 + s. Let r(b) be the third derivative of t(b). Factor r(q).
4*(q - 3)**2*(q + 2)/7
Determine g, given that 17*g**4 + 4*g**3 - 41*g**4 + 19*g**4 + g**2 = 0.
-1/5, 0, 1
Factor 95*q + 84*q - 168 - 1249*q**2 + 1248*q**2 - 10.
-(q - 178)*(q - 1)
Suppose -20*i = -18*i - 6. Suppose -3*a - d - 3 = 0, -3*a = i*d + 12 - 3. Factor 0*u**3 + 0 - 2/3*u**2 + a*u + 2/3*u**4.
2*u**2*(u - 1)*(u + 1)/3
Let y(l) = -11*l**5 - 6*l**4 + 3*l**3 + 26*l**2 - 6*l + 6. Let z(f) = 2*f**5 - f**3 - f**2 - f - 1. Let j(c) = y(c) + 6*z(c). Find n, given that j(n) = 0.
-2, 0, 1, 6
Let f(o) be the first derivative of o**3/7 + 33*o**2/7 + 363*o/7 - 90. Let f(z) = 0. Calculate z.
-11
Let q = -34813/4 - -8704. Factor q + g + 1/4*g**2.
(g + 1)*(g + 3)/4
Suppose -4*m = -n - n + 542, -m = n + 131. Let d = m - -404/3. What is z in z + 1/3*z**2 + d = 0?
-2, -1
Let q(b) be the first derivative of -b**6/3 - 4*b**5 - 16*b**4 - 76*b**3/3 - 15*b**2 + 83. Determine l, given that q(l) = 0.
-5, -3, -1, 0
Let q be 248/88 + (4 - 84/22). Let n be ((-6)/28)/(6*q/(-24)). Factor -2/7*x + 0 + 0*x**2 + 0*x**4 - n*x**5 + 4/7*x**3.
-2*x*(x - 1)**2*(x + 1)**2/7
Let u be 666/1776 + (-58)/(-16). Let 1/5*k**u - 27/5 + 0*k + 18/5*k**2 - 8/5*k**3 = 0. Calculate k.
-1, 3
Let x(y) = y**2 + y - 9. Let j be x(0). Let m = j + 12. Factor 4 + 0 - 5*v**2 + m*v**2 + 2*v.
-2*(v - 2)*(v + 1)
Let j be 4/(-30) - (-1782)/1215. Let z(x) be the first derivative of -6 + 8/9*x**3 + 0*x**4 - j*x - 4/15*x**5 + 0*x**2. Let z(w) = 0. What is w?
-1, 1
Let l(q) be the first derivative of q**6/2 + 9*q**5 + 69*q**4/2 - 96*q**3 - 192*q**2 + 160. Find f, given that l(f) = 0.
-8, -1, 0, 2
Let x(w) = -6*w**5 + 4*w**3 + 20*w**2 - 15*w - 3. Let q(r) = r**5 - 2*r**3 + 1. Let i(h) = 35*q(h) + 5*x(h). Factor i(f).
5*(f - 1)**4*(f + 4)
Determine n, given that 4/7*n**2 - 4/7*n**3 + 8/7*n + 0 = 0.
-1, 0, 2
Factor -246*k + 120 + 18*k + 283*k**3 - 3*k**4 - 298*k**3 + 126*k**2.
-3*(k - 2)**2*(k - 1)*(k + 10)
Let b(m) = -m**2 + 8*m + 3. Let d be b(8). Suppose 4*y = d*y + 2. Factor r + y*r**2 + 3*r**3 + 4*r**2 - 5*r - 5*r**3.
-2*r*(r - 2)*(r - 1)
Suppose 2*p + 3*c = 17 - 5, 0 = 3*c. Suppose 3*v + 6 = p*v. Factor -5*l**v + 2*l**2 + l**2 - l**2 + 6*l.
-3*l*(l - 2)
Factor 25*m**2 - 230 + 3*m**4 - 202 - 37*m**2 - 27*m**3 + 468*m.
3*(m - 6)**2*(m - 1)*(m + 4)
Determine j, given that -8 - 28/5*j - 4/5*j**2 = 0.
-5, -2
Let x(q) be the third derivative of q**6/80 + q**5/5 - q**4/16 - 2*q**3 + 81*q**2. Factor x(i).
3*(i - 1)*(i + 1)*(i + 8)/2
Suppose -12/11*b - 6/11*b**2 + 6/11*b**3 + 0 = 0. What is b?
-1, 0, 2
Solve 66*i**2 + 56 - 47*i**2 + 25*i**3 - i - 199*i**2 + 186*i - 86 = 0.
1/5, 1, 6
Factor -154*z - 11*z**2 - 156*z + 24025 + 8*z**2 + 2*z**2 + 2*z**2.
(z - 155)**2
Let s(w) be the second derivative of w**4/126 + 4*w**3/63 + 4*w**2/21 + 26*w. Determine r so that s(r) = 0.
-2
Let v = 10527/42140 + 2/10535. Suppose 0*z + 0 - z**2 - 5/4*z**3 - v*z**4 = 0. What is z?
-4, -1, 0
Let 0 - 65/2*x**2 - 5/2*x**3 - 30*x = 0. What is x?
-12, -1, 0
Let c(z) = -10*z**4 - 6*z**3 + 7*z**2 + 6*z - 18. Let u(x) = -3*x**4 - 2*x**3 + 2*x**2 + 2*x - 5. Let i(d) = -2*c(d) + 7*u(d). Factor i(k).
-(k - 1)*(k + 1)**3
Let t(k) be the third derivative of k**5/240 + 5*k**4/96 + k**3/4 + 2*k**2 + 46. Factor t(l).
(l + 2)*(l + 3)/4
Let y(x) be the second derivative of -x**5/4 + 175*x**4/4 + 5*x**3/6 - 525*x**2/2 - 19*x - 14. Factor y(n).
-5*(n - 105)*(n - 1)*(n + 1)
Let u(x) be the first derivative of -x**6/51 + 8*x**5/85 - 32*x**3/51 + 16*x**2/17 + 134. Factor u(q).
-2*q*(q - 2)**3*(q + 2)/17
Let y = -69 + 67. Let n be 26*y/14 + 3 + 1. Factor 0 - 2/7*u**2 + n*u.
-2*u*(u - 1)/7
Suppose -10*r - 2*x = -5*r - 115, 4*r = 3*x + 69. Let c = r + -20. Determine b so that 1/2*b**2 - 1/2*b - c = 0.
-1, 2
Find i, given that -4/9*i**3 + 0 - 2/9*i**4 + 2/9*i**5 + 0*i + 0*i**2 = 0.
-1, 0, 2
Let i(x) = -x**3 - 38*x**2 + 127*x + 166. Let f be i(-41). Factor f*s - 16/7 + 2/7*s**2.
2*(s - 1)*(s + 8)/7
Let w(f) be the third derivative of f**6/540 - 2*f**5/135 - f**4/27 + 16*f**3/27 - f**2 - 14*f. Find m such that w(m) = 0.
-2, 2, 4
Suppose 4/5*h + 1/10*h**2 - 33/10 = 0. What is h?
-11, 3
Let r(u) be the second derivative of u**9/3780 - 3*u**8/2800 + u**7/700 - u**6/1800 + u**3/3 - 9*u. Let w(i) be the second derivative of r(i). Factor w(n).
n**2*(n - 1)**2*(4*n - 1)/5
Let i be (-10)/(-120)*-87 + 8 - -2. Let -i*m + m**2 - 3/4 = 0. What is m?
-1/4, 3
Let c = 3406 - 3402. Determine w, given that -3/4*w**c + 1/2 + 1/4*w**2 - 5/4*w + 5/4*w**3 = 0.
-1, 2/3, 1
Let l = 1 - -3. Solve 15*p**2 + 5*p**2 - 6*p**l + 11*p**4 + 20*p**3 + 0*p**2 = 0 for p.
-2, 0
Let k(u) = -46*u**3 - 124*u**2 - 86*u - 34. Let b(o) = 15*o**3 + 41*o**2 + 29*o + 11. Suppose -35 = -3*m - 53. Let t(d) = m*k(d) - 20*b(d). Factor t(z).
-4*(z + 2)*(2*z + 1)*(3*z + 2)
Let r(t) be the second derivative of 6*t**2 - 7/2*t**7 + 11*t - 12*t**3 + 219/20*t**5 + 0 + 17/4*t**4 - 21/10*t**6. Find x, given that r(x) = 0.
-1, 2/7, 1
Let j = 973/4380 + -15/73. Let g(h) be the third derivative of -1/240*h**6 + 0*h + 0*h**3 + 4*h**2 - 1/48*h**4 + 0 - j*h**5. Factor g(s).
-s*(s + 1)**2/2
Let t(o) be the first derivative of o**8/4200 - o**7/700 + o**6/450 - 17*o**3/3 + 5. Let a(x) be the third derivative of t(x). Suppose a(k) = 0. Calculate k.
0, 1, 2
Suppose -2*j = j - y - 2, -3*y + 18 = 3*j. Let d(b) be the first derivative of -2/25*b**5 + 0*b + 6 - 1/10*b**4 + 2/15*b**3 + 1/5*b**j. Factor d(c).
-2*c*(c - 1)*(c + 1)**2/5
Let s(j) be the second derivative of j**4/12 - 5*j**3/6 - 12*j**2 - 53*j - 4. Factor s(r).
(r - 8)*(r + 3)
Let l(u) be the first derivative of u**7/560 - u**6/720 + 2*u**3/3 + 13. Let s(a) be the third derivative of l(a). Find m such that s(m) = 0.
0, 1/3
Suppose q - 9 + 6 = 0. Let 4*z + 8*z**2 + 5*z**3 - 7*z**3 + 6*z**q = 0. Calculate z.
-1, 0
Let b(t) be the second derivative of t**10/75600 + t**9/18900 + t**8/16800 + 31*t**4/12 + 28*t. Let a(u) be the third derivative of b(u). Factor a(o).
2*o**3*(o + 1)**2/5
Suppose -5*t + j + 76 + 102 = 0, 0 = -4*t + j + 142. Let l be 8/t - 187/(-9). Factor -4*u**4 + 24 + 4*u + 3*u**4 - 2*u**2 - l - 4*u**3.
-(u - 1)*(u + 1)**2*(u + 3)
Let g(a) be the second derivative of a**7/42 + 14*a**6/15 + 73*a**5/5 + 344*a**4/3 + 1408*a**3/3 + 1024*a**2 - 36*a + 5. Factor g(w).
(w + 2)**2*(w + 8)**3
Factor 125/3*h**2 + 20 - 760/3*h.
5*(h - 6)*(25*h - 2)/3
Factor -86*t - 15*t**5 + 2*t**3 + 80*t**2 + 98 - 36*t**2 + 84*t**2 - 131*t - 10*t**4 + 14*t**5.
-(t - 2)*(t - 1)**2*(t + 7)**2
Let m(t) = t**3 - t**2 + 3*t. Let k(q) = 2*q**3 + 5*q**2 - 18. Let p(c) = -k(c) + 3*m(c). Factor p(g).
(g - 6)*(g - 3)*(g + 1)
Let u = -79 - -87. Suppose u*j**2 - 6*j**2 + j**2 + 6*j**4 + 6*j - 15*j**3 = 0. Calculate j.
-1/2, 0, 1, 2
Suppose 70*k - 3*k**2 + 121778 - 121685 + 20*k = 0. What is k?
-1, 31
Let i = -21 + 26. Suppose 7 - 1 = -r - 4*t, -i*t = 3*r + 4. Solve 9*o**r + 2*o**2 - o**3 - 3*o**3 - 3*o**2 = 0 for o.
0, 2
Let l(b) be the first derivative of b**5/6 + 11*b**4/12 - 3*b**3/2 - 16*b**2/3 - 10*b/3 - 207. Determine o so that l(o) = 0.
-5, -1, -2/5, 2
Let p be (75 + -72)/((-5)/((-10)/12)). Factor p - 5/4*m**3 - 9/4*m + 3*m**2.
-(m - 1)**2*(5*m - 2)/4
Let g = 196 - 136. Let a be (g/50)/((-6)/(-4)). Solve 2/5*o**2 - a*o + 0 = 