0*y**3 - 6*y**3 + 3. Let o be t(7). Factor -4/3 + 4/3*a**2 + 2/3*a**o - 2/3*a.
2*(a - 1)*(a + 1)*(a + 2)/3
Let q = 13855/12 - 1156. Let a = -13/12 - q. Let a*u**2 + u + 2/3 = 0. What is u?
-2, -1
Let c = -72/7 + 73/7. Let p(m) be the first derivative of 0*m - 10/21*m**3 - c*m**2 + 5. Factor p(x).
-2*x*(5*x + 1)/7
Let v(d) be the first derivative of -d**6/16 - 99*d**5/20 - 3459*d**4/32 - 264*d**3 - 192*d**2 - 244. Factor v(h).
-3*h*(h + 1)**2*(h + 32)**2/8
Let n be (-24918)/(-112) - (51/(-136) + (0 - 0)). Find p such that n*p**3 + 676/7*p**4 + 240/7*p + 1108/7*p**2 + 16/7 = 0.
-1, -2/13
Factor 276*w**2 + 233*w**2 - 597*w**2 - 240*w - 4*w**4 + 60*w**3 + 416.
-4*(w - 13)*(w - 2)**2*(w + 2)
Let p(z) be the second derivative of -z**5/60 + z**4/24 + z**3/3 - 13*z**2/2 - 17*z. Let r(y) be the first derivative of p(y). Factor r(t).
-(t - 2)*(t + 1)
Suppose 4*o = -5 + 13. Let v(d) = -5*d**2 - 2*d + 2. Let c(s) = 20*s**2 + 9*s - 9. Let l(p) = o*c(p) + 9*v(p). Suppose l(q) = 0. Calculate q.
0
Let x(j) = j**2 - 21*j + 24. Let w be x(20). What is k in 2*k**2 + w*k**2 - 2*k**2 + 12*k = 0?
-3, 0
Let z = -1/6754 - 466019/47278. Let r = 283/28 + z. Factor 0*b**2 + 1/4*b**4 + 0 + 0*b - r*b**3.
b**3*(b - 1)/4
Let h be (-2)/4 - (-9)/2. Suppose -3*g + 22*g**3 - 14*g**4 + 5*g**4 + 8*g**2 + 17*g**h - 2 + 5*g**5 + 10*g**4 = 0. What is g?
-1, 2/5
Let q(i) = -414*i - 3307. Let v be q(-8). Suppose 11/2*c**4 + 0 + 7/2*c**3 - 11/2*c**2 - 9/2*c**v + c = 0. What is c?
-1, 0, 2/9, 1
Let d(x) = x**2 - 9*x + 4. Let c(h) = h**2 - 10*h + 4. Let p = 63 - 67. Let f(b) = p*c(b) + 5*d(b). Factor f(v).
(v - 4)*(v - 1)
Let z = 18/19 - 701/760. Let q(h) be the second derivative of 0 + z*h**5 + 2/3*h**3 - 5/24*h**4 + h - h**2. Suppose q(l) = 0. Calculate l.
1, 2
Let j = 2125 + -25499/12. Let d(w) be the first derivative of -3/4*w**4 + 7/4*w**2 - 3/2*w - j*w**6 + 1/2*w**5 - 1/3*w**3 - 3. Factor d(b).
-(b - 3)*(b - 1)**3*(b + 1)/2
Let r(t) be the third derivative of t**7/105 - 13*t**6/15 + 5*t**5 - 37*t**4/3 + 49*t**3/3 - t**2 + 74. Find k, given that r(k) = 0.
1, 49
Let a(p) be the first derivative of -p**4/8 - 7*p**3/6 - 2*p**2 + 8*p + 260. What is j in a(j) = 0?
-4, 1
Suppose -23*b**2 - 240 - 627 - 102*b + 20*b**2 = 0. What is b?
-17
Let k = 3994/795 - -82/265. Factor 14/3*y + 0 + k*y**2 + 2/3*y**3.
2*y*(y + 1)*(y + 7)/3
Let d be (-13)/(-52)*(-6)/(-15). Let m(t) be the second derivative of 1/10*t**3 + 0 - 3/100*t**5 + d*t**4 + 8*t - 3/5*t**2. Factor m(g).
-3*(g - 2)*(g - 1)*(g + 1)/5
Let m(f) be the first derivative of -f**7/5460 + f**6/1170 + 5*f**3 - 3. Let s(p) be the third derivative of m(p). Solve s(a) = 0 for a.
0, 2
Let f(y) be the second derivative of 5*y**5 + 395*y**4/3 + 608*y**3/3 + 120*y**2 + 112*y. Factor f(b).
4*(b + 15)*(5*b + 2)**2
Let o(b) = 3*b - 6. Let j be o(4). Let r = -4 + j. Factor 6 - r*z**3 + 5*z - 3*z**3 - 2*z**2 - 4 + 0.
-(z - 1)*(z + 1)*(5*z + 2)
Let r(t) = -t**3 + 5*t**2 - 50*t + 338. Let q be r(6). Factor -1/3*x**4 + 0 + 1/2*x - 1/2*x**3 + 1/3*x**q.
-x*(x - 1)*(x + 1)*(2*x + 3)/6
Let d(c) be the third derivative of 0 + 0*c - 1/105*c**7 + 1/3*c**3 + 1/6*c**4 + 0*c**5 + 25*c**2 - 1/30*c**6. Factor d(f).
-2*(f - 1)*(f + 1)**3
Let x(i) = i**3 + 2*i**2 - 4*i - 1. Let a be x(-3). Let q be (8/30)/((-210)/(-525)). Determine j so that -j**a - 1/6*j**4 - 1/6 + q*j**3 + 2/3*j = 0.
1
Let b be -1 + 148/(-8)*-2. Suppose -3 = -l + b. Factor 93*c**2 - 60*c + 13*c**5 + 11 - l*c**3 - 19*c**4 - 2*c**4 + 1 + 2*c**5.
3*(c - 1)**3*(c + 2)*(5*c - 2)
Suppose -16 = -104*v + 95 + 97. Find z such that 64/3 - 756*z**4 + 256*z + 960*z**3 + 2912/3*z**v = 0.
-2/7, -2/9, 2
Factor -4*d**3 + 22*d**2 + 71*d - 400 + 35*d - 46*d + 0*d**3 + 2*d**2.
-4*(d - 5)**2*(d + 4)
Suppose 4*u - 22 = -14. Let m(s) be the first derivative of 2*s**3 - 5 + 0*s - 3/5*s**5 + 0*s**u - 3/4*s**4. Determine b so that m(b) = 0.
-2, 0, 1
Suppose 0 = 6*q - 2*q. Suppose y + 13 = 5*m, q*m = 2*y - 5*m + 11. Factor y*t + 2*t + 10*t**3 + 8*t**2 - 6*t**3.
4*t*(t + 1)**2
Let h(o) = -3*o**2 - 1. Let q be h(-1). Let u(k) = k**3 + 2*k**2 - 9*k - 2. Let c be u(q). Suppose 1/2 - c*d - 2*d**4 + 2*d**3 + 3/2*d**2 = 0. Calculate d.
-1, 1/2, 1
Find s, given that 1/3*s**5 - s**2 - 5/3*s**3 + 0 + 0*s - 1/3*s**4 = 0.
-1, 0, 3
Let j be 3/(-1365)*-1981 - (-1)/(-5). Let m(a) be the first derivative of -j*a + 5 - 27/13*a**2 - 1/26*a**4 - 6/13*a**3. Solve m(r) = 0.
-3
Suppose -2579*i + 14 = -2572*i. Let q(g) be the first derivative of i*g + 1 + 1/6*g**3 - g**2. Factor q(j).
(j - 2)**2/2
Determine p so that -37*p**5 + 21*p**4 + 15*p**2 + 34*p**5 - 36 - p**3 - 44*p**3 + 48*p = 0.
-1, 1, 2, 3
Let f(w) = -w**2 + 10*w - 5. Let d be f(11). Let x be 4/10*(-10)/d. Factor -1/2*u + 1/4 + x*u**2.
(u - 1)**2/4
Determine k, given that 2/11*k**3 - 2/11 + 6/11*k - 6/11*k**2 = 0.
1
Let b be (-48)/(-64)*-12 + (-384)/(-10). Factor 42/5*n - b - 3/5*n**2.
-3*(n - 7)**2/5
Let r = -471 - -476. Let s(h) be the third derivative of 0 + 1/540*h**6 + 0*h**4 - 5*h**2 + 0*h**r + 0*h - 4/945*h**7 + 0*h**3. Factor s(t).
-2*t**3*(4*t - 1)/9
Let c = -42 - -47. Let r be (1 - c) + 308/70. Let -r*i**2 + 0*i - 2/5*i**4 - 4/5*i**3 + 0 = 0. What is i?
-1, 0
Let y(x) = 7*x**2 + 27*x + 41. Let k(s) = -11*s**2 - 41*s - 62. Let h(u) = 5*k(u) + 8*y(u). Find g such that h(g) = 0.
-9, -2
Let n(i) be the second derivative of 0*i**2 + 5/4*i**4 - 1/4*i**5 + 26 - i + 10/3*i**3. Solve n(t) = 0.
-1, 0, 4
Find f such that -4*f**4 - 98719 + 28*f**2 - 8*f**3 + 98719 - 16*f = 0.
-4, 0, 1
Let g(k) be the second derivative of -k**6/6 + 2*k**5 - 95*k**4/12 + 10*k**3 - 8*k + 6. Factor g(j).
-5*j*(j - 4)*(j - 3)*(j - 1)
Suppose -5*l + 14 = o - 4, -5*l + 26 = 2*o. Suppose 4*n - 4 = o. What is v in -v**3 - v**3 + 8*v**2 + 7*v**3 - 3*v**n + 8*v = 0?
-2, 0
Let m be ((-38)/3)/((-34)/51). Determine r so that m*r**2 - 23*r**2 - 21 + 32*r + 18 - 25 = 0.
1, 7
Let c(p) be the first derivative of p**3/12 + 9*p**2/4 - 202. What is k in c(k) = 0?
-18, 0
Let t(q) be the second derivative of 0 - 28*q - 5/24*q**4 + 5/6*q**3 - 5/4*q**2. Find z, given that t(z) = 0.
1
Let l(h) be the first derivative of h**6/540 + h**5/45 - 5*h**4/36 - 2*h**3/3 + 2*h - 34. Let d(a) be the third derivative of l(a). Factor d(o).
2*(o - 1)*(o + 5)/3
Let u = -31 - -33. Let p = -3 - -8. Factor 3*k**2 + 3*k**p - 3*k**u + 3*k**4.
3*k**4*(k + 1)
Let u = 45682 - 45676. Factor -u + 20/3*h - 2/3*h**2.
-2*(h - 9)*(h - 1)/3
Solve 12/5 - 98/5*j**2 + 58*j = 0 for j.
-2/49, 3
Let r(b) be the second derivative of 1/21*b**6 - 1/147*b**7 + 2/21*b**4 + 0 - 4/35*b**5 + 0*b**3 + 0*b**2 + 11*b. Factor r(q).
-2*q**2*(q - 2)**2*(q - 1)/7
Solve -4/3*c**2 - 1/3*c**3 + 5/3*c + 0 = 0.
-5, 0, 1
What is n in 136/11 - 72/11*n + 2/11*n**2 = 0?
2, 34
Factor 0 + 1/6*q**4 - 2/3*q**2 - 4/3*q + 1/3*q**3.
q*(q - 2)*(q + 2)**2/6
Let n be (3 + -3)/(4 - 3). Suppose 13*t + 4*t - 34 = n. Factor -1/7*y**3 - y**t + 16/7 - 8/7*y.
-(y - 1)*(y + 4)**2/7
Let g(w) be the first derivative of 2/9*w**6 - w**4 + 0*w**5 + 0*w + 42 + 8/9*w**3 + 0*w**2. Find h, given that g(h) = 0.
-2, 0, 1
Let h = -4/205 + 168/205. Suppose -3*r = -2*f + 2, -r + 5*f - 9 + 4 = 0. Factor 6/5*p**3 - h*p**2 - 2/5*p**5 + 0*p + 0 + r*p**4.
-2*p**2*(p - 1)**2*(p + 2)/5
Let n(r) be the third derivative of -r**9/7560 + r**7/210 + r**6/45 + r**5/20 - 13*r**4/24 - 23*r**2. Let g(v) be the second derivative of n(v). Factor g(f).
-2*(f - 3)*(f + 1)**3
Let y = -1/7525 - -97869/331100. Let r = 6/11 - y. Factor -r*t + 1/4*t**2 + 0.
t*(t - 1)/4
Let y(n) be the third derivative of n**7/8820 - n**6/840 + n**5/210 + 5*n**4/24 - 3*n**2. Let c(x) be the second derivative of y(x). Let c(l) = 0. Calculate l.
1, 2
Suppose 0 = -9*j + 3*j + 60. Factor j*y**2 - 37*y + 20*y + 29*y - 2*y**3.
-2*y*(y - 6)*(y + 1)
Let t(g) be the third derivative of -g**8/2016 - g**7/630 - g**6/720 - g**2 - 29*g. Factor t(p).
-p**3*(p + 1)**2/6
Suppose 0 = -0*d - 5*d - 3*d. Let p(f) be the third derivative of -1/30*f**5 + 0 + 1/6*f**3 + 0*f**4 + 1/210*f**7 - 6*f**2 + 0*f + d*f**6. Solve p(y) = 0.
-1, 1
Let b(y) be the third derivative of y**8/112 + 9*y**7/50 - 31*y**6/200 - 63*y**5/100 + 13*y**4/20 - 15*y**2. Determine w so that b(w) = 0.
-13, -1, 0, 2/5, 1
Let i(o) be the second derivative of o**4/4 - 98*o**3 + 14406*o**2 + 14*o + 7. Factor i(k).
3*(