Let f be 930/(35 - 4) - 28. Factor 4/17*o**4 - 2/17*o**5 + 6/17*o**3 - 8/17*o + 0 - 8/17*o**f.
-2*o*(o - 2)**2*(o + 1)**2/17
Let l(k) be the first derivative of 3/4*k**4 + 9/2*k**3 + 1/2*k**2 + 1/20*k**5 + 0*k - 15. Let i(w) be the second derivative of l(w). Let i(x) = 0. What is x?
-3
Suppose 1 - 1 = 1077*a + 285*a. Factor 0*g**2 + a - 27/2*g**4 + 3*g**3 + 0*g.
-3*g**3*(9*g - 2)/2
Factor -46/3*l - 88/3 - 1/3*l**2.
-(l + 2)*(l + 44)/3
Let y be 1/45*6 - 0/14. Let t(m) be the third derivative of 0 + 1/12*m**4 + 1/525*m**7 - 1/300*m**6 - 11*m**2 - y*m**3 + 0*m - 1/50*m**5. Solve t(r) = 0.
-2, 1
Suppose m - 2 = 2*v, m - 2 = -v + 3. Factor -12 + 8*d**2 - 7*d**2 + 4*d**2 + 3*d**3 + 0*d**3 + m*d**2.
3*(d - 1)*(d + 2)**2
Suppose 2*k - 4*k = -38. Suppose -28*z = -90 - 134. Solve -z*c**4 + c**5 - k*c**3 + 13*c**3 + 3*c**4 = 0 for c.
-1, 0, 6
Let j(c) be the first derivative of 5*c**4/4 - 100*c**3 + 2365*c**2/2 - 3570*c - 7796. Find s, given that j(s) = 0.
2, 7, 51
Find y, given that -16 - 12/7*y**3 - 240/7*y - 116/7*y**2 = 0.
-7, -2, -2/3
Factor -15280 - 12*v**3 - 140*v - 24*v**3 + 4*v**4 - 132*v**2 + 15232.
4*(v - 12)*(v + 1)**3
Let k(a) be the second derivative of 73*a + 169/4*a**2 + 1/24*a**4 - 13/6*a**3 + 0. Let k(n) = 0. What is n?
13
Let g(t) be the first derivative of -3/4*t**4 + 1/60*t**5 + 1 + 0*t + 17/2*t**2 + 27/2*t**3. Let i(y) be the second derivative of g(y). Factor i(a).
(a - 9)**2
Let s be (3*45/27 - 5)/(4*(-6)/24). Determine b, given that s*b**2 + 3*b**4 + 2/3*b**3 + 0*b + 3*b**5 + 0 = 0.
-2/3, -1/3, 0
Let f = -399 + 436. Find h, given that 44 - 4*h**5 - f*h - 6*h + 36 + 52*h**3 - 49*h - 4*h - 44*h**2 + 12*h**4 = 0.
-2, 1, 5
Let m(y) be the third derivative of -y**6/90 + 2*y**5/15 - 4*y**4/9 + 1763*y**2. Determine b, given that m(b) = 0.
0, 2, 4
Let f(w) = 32*w**2 + 10*w. Let r(d) = 3*d**2 + d. Let l(o) = f(o) - 10*r(o). Let q(k) = 4*k**3 + 28*k**2 - 128. Let a(x) = 2*l(x) - q(x). Factor a(h).
-4*(h - 2)*(h + 4)**2
Let n(p) be the second derivative of p**6/90 - 3*p**5/10 + 8*p**4/3 - 64*p**3/9 - 2014*p. Factor n(g).
g*(g - 8)**2*(g - 2)/3
Determine n so that -4420/3 + 4/3*n**2 + 288*n = 0.
-221, 5
Solve -36/5*g**4 - 228/5*g - 3/5*g**5 - 54*g**2 - 147/5*g**3 - 72/5 = 0 for g.
-6, -2, -1
Factor 67/4*w**4 + 1/2 + 207/4*w**2 - 203/4*w**3 - 73/4*w.
(w - 1)**3*(67*w - 2)/4
Find m such that 2/5*m**2 + 108160 + 416*m = 0.
-520
Let s be (-90)/(-20) + -5 + 70/28. Find d such that -46/3*d**3 + 4 - 10/3*d**4 - 50/3*d**s - 2/3*d = 0.
-3, -1, 2/5
Let f = 339956/7 + -48564. Factor 2/7*y**2 - f*y + 0.
2*y*(y - 4)/7
Let s(o) be the second derivative of -7/66*o**4 + 1/11*o**2 - 2/55*o**5 - o + 0 - 2/33*o**3. Factor s(m).
-2*(m + 1)**2*(4*m - 1)/11
Suppose -2*b - 20 = -5*p, -2*p + 1 = -4*b - 7. Let z be 2 + (4 - b)/(-4)*-1. Factor -238 + 238 + z*u**2 + 3*u**3.
3*u**2*(u + 1)
Let h(n) be the third derivative of -2*n**2 - 1/9*n**4 + 1/540*n**6 - 20/27*n**3 + 1/30*n**5 - 5 + 0*n. Let h(i) = 0. What is i?
-10, -1, 2
Let t be (-48020)/(-22500) - 2/(-9). Let n = t + 11/125. Factor n*q - 2/9*q**2 - 20/9.
-2*(q - 10)*(q - 1)/9
Let a(u) be the third derivative of 1/6*u**4 + 1/14*u**7 + 0 - 7/60*u**6 + 0*u + 139*u**2 + 3/70*u**8 - 13/60*u**5 + 2/5*u**3. Let a(q) = 0. What is q?
-1, -3/8, 2/3
Let m(y) be the first derivative of 22*y + 22 - 1/27*y**4 + 0*y**3 + 7/90*y**5 + 0*y**2 - 1/27*y**6. Let q(r) be the first derivative of m(r). Factor q(s).
-2*s**2*(s - 1)*(5*s - 2)/9
Factor 84/5*u + 78/5*u**2 - 32 - 2/5*u**3.
-2*(u - 40)*(u - 1)*(u + 2)/5
Determine h so that 22/17*h**2 + 0 - 2/17*h**3 - 56/17*h = 0.
0, 4, 7
Let x be 410/130 + -3 + 142/91. Let w(h) be the first derivative of -x*h + 3/28*h**4 + 4/7*h**3 + 6 - 3/14*h**2. Factor w(g).
3*(g - 1)*(g + 1)*(g + 4)/7
Suppose 399*i - f - 5 = 395*i, 0 = -4*i + 5*f + 25. Let d(o) be the second derivative of i + 1/110*o**5 - 1/11*o**4 + 4/11*o**3 - 8/11*o**2 + 10*o. Factor d(b).
2*(b - 2)**3/11
Let z(y) be the third derivative of -1/735*y**7 - 1/210*y**6 + 2*y**2 + 0*y**4 + 0 + 0*y**3 + 4/105*y**5 - 98*y. Determine r so that z(r) = 0.
-4, 0, 2
Let m(n) be the third derivative of -n**6/20 - 307*n**5/30 - 304*n**4/9 - 404*n**3/9 - 84*n**2 - 1. Let m(v) = 0. What is v?
-101, -2/3
Let l(b) be the third derivative of 23*b**5/2 - 459*b**4/8 - b**3 - 331*b**2 - 3*b. Factor l(t).
3*(t - 2)*(230*t + 1)
Let z = -3221 + 3221. Let t(l) be the third derivative of 9*l**2 + z*l + 81/8*l**4 - 243/2*l**3 + 1/120*l**6 + 0 - 9/20*l**5. Factor t(y).
(y - 9)**3
Let g(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p - 1/15*p**7 + 0 - 11/60*p**6 + 111*p**2 - 1/168*p**8 - 1/6*p**5. Factor g(i).
-2*i**2*(i + 1)**2*(i + 5)
Suppose -10 = -2*h - p, -p - 11 = -4*h - 3. Factor -m**5 + 187*m**2 + 164*m**3 + 4*m**5 + 90*m**4 + 81*m + 88*m**h + 59*m**2.
3*m*(m + 1)**3*(m + 27)
Let q(n) be the third derivative of n**5/690 + 39*n**4/92 + 23*n**2. Let q(i) = 0. Calculate i.
-117, 0
Let b(d) be the first derivative of -9*d**5 + 213*d**4/4 - 106*d**3 + 78*d**2 - 24*d + 506. Let b(f) = 0. Calculate f.
1/3, 2/5, 2
Solve 2/15*c**3 - 106/3*c + 262/15*c**2 + 266/15 = 0.
-133, 1
Let r be (-3)/13*((-11739)/210)/43. Let k(v) be the second derivative of -3/2*v**5 + 0 - 21*v - r*v**6 + 23/12*v**4 + 0*v**2 - 2/3*v**3. Factor k(o).
-o*(o + 4)*(3*o - 1)**2
Let x(b) be the third derivative of b**5/330 - 577*b**4/132 - 11*b**2 - 149. Determine j so that x(j) = 0.
0, 577
Let j be (-18)/(-3)*1/3. Suppose 5*n = 2*h, h - 2 + 5 = 4*n. Factor 2*o**4 + 0*o**j + 32*o - o**n + 7*o**2 + 10*o**3 - 50*o.
2*o*(o - 1)*(o + 3)**2
Let h be (82/56 + (-38)/(-133))/(1449/6210). Factor -h + 1/2*a**2 + a.
(a - 3)*(a + 5)/2
Let m(s) be the second derivative of -27/40*s**5 - 14*s**4 - 4*s**2 - 16*s - 109/9*s**3 - 3. Suppose m(b) = 0. What is b?
-12, -2/9
Let c(x) be the third derivative of -11*x**8/168 - 8*x**7/35 + 32*x**6/15 - 13*x**5/3 + 9*x**4/4 + 10*x**3/3 - x**2 - 583. Suppose c(o) = 0. Calculate o.
-5, -2/11, 1
Let q(r) be the second derivative of r**6/105 - r**5/70 - 5*r**4/14 - 23*r**3/21 - 10*r**2/7 + 3919*r. Find a such that q(a) = 0.
-2, -1, 5
Let k(v) = v. Let l(y) = 68*y**2 - 883*y - 52. Let r(d) = 3*k(d) + l(d). Let r(t) = 0. Calculate t.
-1/17, 13
Suppose 2*s = -3*v + 32, 5*s - 9 = 4*s - 5*v. Suppose -14*k - 10 = -s*k. Suppose 0*n**3 + 3*n**3 + 7*n**3 + 8*n + 8*n**k - 8*n**3 = 0. What is n?
-2, 0
Let b(a) be the second derivative of 146*a**7/21 - 58*a**6/3 + 71*a**5/5 + a**4/3 - 3984*a + 1. Factor b(z).
4*z**2*(z - 1)**2*(73*z + 1)
Let 119*b**2 - 54*b**2 - 240*b - 576 - 40*b**2 - b**3 - 53*b**2 = 0. What is b?
-12, -4
Let l be ((-77)/12)/((-31108)/192304). Factor 0*f - 40/3*f**4 + 98/3*f**2 + 0 - l*f**3 - f**5.
-f**2*(f + 7)**2*(3*f - 2)/3
Let c(t) = t**3 + 1. Let k(o) = o**2 - 2. Let n(d) = -14*d**3 + 61*d**2 - 63*d + 14. Let s(q) = 2*k(q) + n(q). Let m(a) = 2*c(a) + s(a). Factor m(l).
-3*(l - 4)*(l - 1)*(4*l - 1)
Let n(w) be the second derivative of w**6/45 - w**5/5 - 5*w**4/6 - 8*w**3/9 - 2638*w. Factor n(v).
2*v*(v - 8)*(v + 1)**2/3
Let j(r) be the third derivative of -r**8/448 + 8*r**7/105 - 13*r**6/480 - 41*r**5/60 - 7*r**4/8 - 11792*r**2. Determine g so that j(g) = 0.
-1, -2/3, 0, 2, 21
Suppose -3*k + 4*t + 0*t = 738, -4*k = 2*t + 984. Let g = -417/2 - k. Factor -15/2*c**2 + g*c - 125/2 + 1/2*c**3.
(c - 5)**3/2
Let s(c) = -2*c**3 - 11*c**2 + 58*c + 146. Let l be s(-8). Factor 32/3 - 10/9*j**l + 16/9*j - 2/9*j**3.
-2*(j - 3)*(j + 4)**2/9
Let u be (128/180)/(25/((-7500)/(-240))). Let s be 0/(-2) + 14/21. Determine y, given that u*y - s*y**2 + 0 - 2/9*y**3 = 0.
-4, 0, 1
Suppose 2/11*d**2 + 1106/11 - 1108/11*d = 0. What is d?
1, 553
Suppose -28474*l - 32 = -2*h - 28478*l, 4*l - 34 = -3*h. Find o, given that -10*o**3 - h*o + 7/3*o**4 + 29/3*o**2 + 0 = 0.
0, 2/7, 1, 3
Let s(d) = -13*d**2 - 531*d - 3414. Let t be s(-8). Factor 0 - 2/19*q**t - 2/19*q**3 + 4/19*q.
-2*q*(q - 1)*(q + 2)/19
Let f be (-1254)/(-114) + (0 - -1 - 22)/(173 + -171). Solve -4*w**2 - f*w**5 + 3 + 3*w**3 - 5/2*w + w**4 = 0.
-2, -1, 1, 3
Solve -1/5*x**2 + 403/5*x + 404/5 = 0.
-1, 404
Factor 422*k - 316/3*k**2 - 8/3.
-2*(k - 4)*(158*k - 1)/3
Let x = 64114/3 - 21371. Let u(l) be the first derivative of -1 - 5/9*l**3 + 5/6*l**2 - 5/12*l**4 + 0*l + x*l**5. Find d such that u(d) = 0.
-1, 0, 1
Let l = 879 - 81.