5/300 - 283*a**4/120 - 142*a**3/15 + 5119*a**2. Factor o(x).
(x - 284)*(x + 1)/5
Let q(k) be the second derivative of k**6/1080 + k**5/72 + k**4/18 - 44*k**3/3 - 89*k. Let a(u) be the second derivative of q(u). Find f, given that a(f) = 0.
-4, -1
Let i = -689115 + 689115. Factor i + 1/5*q**3 - 1/5*q**5 + 0*q + 0*q**2 + 0*q**4.
-q**3*(q - 1)*(q + 1)/5
Let d(g) be the third derivative of g**7/42 - 13*g**6/8 - 7*g**5/2 + 50*g**4/3 + 1143*g**2. Let d(o) = 0. Calculate o.
-2, 0, 1, 40
Factor 280/13 - 2/13*x**2 - 2*x.
-2*(x - 7)*(x + 20)/13
Let v(x) be the second derivative of x**6/15 + 13*x**5/10 - 8*x**4/3 - 28*x**3/3 - 900*x. Factor v(c).
2*c*(c - 2)*(c + 1)*(c + 14)
Let y(m) be the second derivative of -17*m**6/60 + 49*m**5/40 + 37*m**4/12 + 2*m**3/3 - 643*m. Determine o, given that y(o) = 0.
-1, -2/17, 0, 4
Suppose -2*a - 20 = 5*n + 78, 0 = 4*n + 4*a + 88. Let z be 29/87*n/(-14). Suppose -z*s**2 + 0*s + 3/7 = 0. Calculate s.
-1, 1
Suppose -262*q + 384 = -252 + 112. Suppose 4*r + r = 10. Solve 12/7 + 2/7*o**r - q*o = 0 for o.
1, 6
Suppose 21*s - 33*s**5 - 12 + 216*s**2 - 21*s - 38*s - 55*s - 474*s**3 + 168*s**2 + 228*s**4 = 0. Calculate s.
-1/11, 1, 4
Let m be ((-9)/(-33) + 2325/(-2475))*-3. Let 2/9*l**m - 14/9*l + 4/3 = 0. Calculate l.
1, 6
Let d(o) be the second derivative of 7*o**3/6 - 13*o**2 + 12*o. Let k be d(5). Factor -7*q**2 - q**2 - 6*q**2 + 10*q**3 + k*q**2 - 5*q**4.
-5*q**2*(q - 1)**2
Let d(q) = 2*q**3 - q**2 + 341*q - 1696. Let g be d(5). Suppose 12*s + g + 2/13*s**2 = 0. Calculate s.
-39
Factor -3/4*z**4 - 9*z**2 + 0*z - 21/4*z**3 + 0.
-3*z**2*(z + 3)*(z + 4)/4
Let f(y) = 52*y - 35. Let g be f(-1). Let o be (g/(-18) + -5)*4*-3. Let 16/7*t**o + 6*t**3 - 2*t**5 - 8/7*t + 4/7*t**4 + 0 = 0. Calculate t.
-1, 0, 2/7, 2
Let o(l) be the second derivative of -160*l + 4/3*l**3 + 0 + 0*l**2 + 1/84*l**7 + 3/5*l**5 - 2/15*l**6 - 4/3*l**4. Find j such that o(j) = 0.
0, 2
Let m(z) = -z**3 + z**2 + 3*z + 3. Let p be m(0). Solve -2550*x**4 - 15*x**p + 24*x + 2556*x**4 - x**3 - 6*x**2 + 8 = 0.
-1, -1/3, 2
Suppose -3*c - m + 14 = 0, 25*c + m - 24 = 20*c. Let 160*n**2 - c*n**3 - 43*n**2 - 216*n - 5*n**3 - 48 - 5*n**3 = 0. Calculate n.
-1/5, 4
Let u(l) be the first derivative of -5*l**3/12 + 1160*l**2 - 1076480*l - 1993. Factor u(s).
-5*(s - 928)**2/4
Let d be ((3 + 0)/3)/((-1)/(-7)). Suppose -d*m = 77 - 98. Factor -5/2*c + 5/2*c**m - 1/2*c**2 + 3/2*c**4 - 1.
(c - 1)*(c + 1)**2*(3*c + 2)/2
Let l(n) be the second derivative of 32/3*n**3 + 0*n**2 + 3/5*n**5 - 126*n + 4*n**4 + 1/30*n**6 + 0. Factor l(o).
o*(o + 4)**3
Let l(p) be the third derivative of 47*p**7/42 + 95*p**6/24 - 233*p**5/12 - 1435*p**4/24 - 5*p**3 + 12*p**2 - 44*p. Solve l(c) = 0.
-3, -1, -1/47, 2
Let l(r) be the second derivative of -3*r**5/20 - 543*r**4/4 - 3231*r**3/2 - 14499*r**2/2 + 1012*r - 1. Let l(t) = 0. Calculate t.
-537, -3
Let i(j) be the first derivative of -49*j**4/4 + 2968*j**3/3 - 842*j**2 + 240*j + 5186. Solve i(c) = 0 for c.
2/7, 60
Let k(s) be the third derivative of s**5/40 + 589*s**4/4 + 346921*s**3 + 2450*s**2. Factor k(m).
3*(m + 1178)**2/2
Suppose 1 = o - 2. Let a be (-25*(-4)/300)/1. Let a*w**o - 16/3*w**2 - 4/3*w + 0 + 4/3*w**4 = 0. What is w?
-2, -1/4, 0, 2
Let z(g) be the second derivative of -g**6/160 - g**5/8 - 9*g**4/32 + 129*g**2/2 + 2*g - 66. Let w(n) be the first derivative of z(n). Factor w(r).
-3*r*(r + 1)*(r + 9)/4
Let z(r) be the second derivative of r**4/66 + 56*r**3/33 + 108*r**2/11 - 201*r - 2. What is n in z(n) = 0?
-54, -2
Let t(w) = w**3 - 8*w**2 + 13*w + 10. Let o(r) = -r**3 + 8*r**2 - 15*r - 9. Suppose -147*y - 44 = -136*y. Let k(x) = y*o(x) - 5*t(x). Factor k(g).
-(g - 7)*(g - 2)*(g + 1)
Let -145/4*i**2 + 1/4*i**3 + 107*i - 71 = 0. What is i?
1, 2, 142
Let z(x) be the second derivative of 98*x + 3/70*x**5 - 1/105*x**6 + 0 + 1/42*x**4 - 1/21*x**3 - 2/147*x**7 + 0*x**2. Find m such that z(m) = 0.
-1, 0, 1/2, 1
Let d(j) = -j**4 + j**3 - 3*j**2 - 3*j. Let h(u) = 7*u**4 - 13*u**3 + 23*u**2 + 25*u - 6. Let i(x) = 6*d(x) + h(x). Let i(z) = 0. What is z?
-1, 1, 6
Let b(x) be the first derivative of x**5/25 - 5*x**4/4 - 26*x**3/15 + 490. Suppose b(q) = 0. What is q?
-1, 0, 26
Suppose 18*w + 90*w + 56*w = 0. Let j(d) be the first derivative of -11 + 0*d - 4/27*d**3 + w*d**2 + 1/18*d**4. Factor j(z).
2*z**2*(z - 2)/9
Let o(n) be the second derivative of n**5/30 - 11*n**4/12 + 6*n**3 + 64*n**2 + 215*n. Let k(y) be the first derivative of o(y). Factor k(v).
2*(v - 9)*(v - 2)
Let n(r) be the first derivative of r**6/16 - 99*r**5/20 + 657*r**4/8 + 865*r**3 + 2808*r**2 + 3888*r + 1349. Suppose n(w) = 0. What is w?
-2, 36
Let m(p) = 3*p**3 + 45*p**2 - 3*p + 6. Let v(w) = -w**3 - 15*w**2 + w - 3. Let i(q) = -6*m(q) - 17*v(q). Factor i(d).
-(d - 1)*(d + 1)*(d + 15)
Let q(y) be the third derivative of y**5/20 - 906*y**4 + 6566688*y**3 + 6*y**2 + 129*y. Suppose q(r) = 0. What is r?
3624
Let s(u) be the second derivative of u**4/15 + 1442*u**3/15 + 1619*u. Find d such that s(d) = 0.
-721, 0
Let o(f) = -3*f**2 + f - 13. Let z(r) = 3*r**3 + 144*r**2 + 83*r - 35270. Let n(u) = 4*o(u) + z(u). Factor n(y).
3*(y - 14)*(y + 29)**2
Let j(s) be the first derivative of 10/3*s - 75 + 1/6*s**4 - 1/3*s**2 - 10/9*s**3. Factor j(a).
2*(a - 5)*(a - 1)*(a + 1)/3
Let z(j) be the second derivative of -j**7/105 + 419*j**6/75 - 58797*j**5/50 + 560309*j**4/6 - 5371238*j**3/15 + 5*j + 122. Factor z(k).
-2*k*(k - 139)**3*(k - 2)/5
Let a(g) be the first derivative of 2*g**5/5 - 841*g**4/2 + 157914*g**3 - 22651731*g**2 + 173741112*g - 8343. Let a(f) = 0. Calculate f.
4, 279
Let p = -94/65 - -1163/130. Let s(j) be the first derivative of -4 - 3/8*j**4 - 3/2*j**3 + 27/4*j**2 - p*j. Factor s(u).
-3*(u - 1)**2*(u + 5)/2
Suppose -156/11 + 2/11*o**3 - 202/11*o - 4*o**2 = 0. Calculate o.
-3, -1, 26
Let -116/3*k**3 - 2*k**5 - 100/3*k**2 + 6 - 2*k - 46/3*k**4 = 0. What is k?
-3, -1, 1/3
Let w(t) be the third derivative of t**7/1260 - t**6/540 - t**5/45 + t**4/9 + 49*t**3/6 + 2*t**2 - 5. Let q(j) be the first derivative of w(j). Factor q(i).
2*(i - 2)*(i - 1)*(i + 2)/3
Suppose 3*h + 2 = 4*f, 4*f = -2*h + 8*f - 8. Suppose -30*a + 48 = -h*a. Factor -4/11 + 14/11*l - 6/11*l**a.
-2*(l - 2)*(3*l - 1)/11
Let h = 83 - 57. Let z be 6/(-9) - h/(-3). Find m, given that -11*m**2 + 3*m**4 + 0*m + z*m**2 - 2*m + 0*m**3 - 2*m**5 + 4*m**3 = 0.
-1, -1/2, 0, 1, 2
Factor 6*v**4 - 745*v**3 + 100*v**2 - 122*v**2 + 24*v**4 - 178*v - 883*v**2 + 48*v.
5*v*(v - 26)*(v + 1)*(6*v + 1)
Let p(h) be the first derivative of 3*h**4/16 - 125*h**3 + 46875*h**2/2 + 2834. Suppose p(q) = 0. What is q?
0, 250
Let t = -4289 + 17159/4. Let s(d) be the first derivative of -18 + 3/2*d**3 + 3*d**2 - 3/10*d**5 - t*d**4 - 6*d. Factor s(o).
-3*(o - 1)**2*(o + 2)**2/2
Factor -8*j - 10*j**2 - 4*j**3 + 0 - 1/2*j**4.
-j*(j + 2)**2*(j + 4)/2
Let x = -189479 + 189482. Suppose -1/2*p**3 - x*p**2 + 3 + 1/2*p = 0. Calculate p.
-6, -1, 1
Let i(g) be the first derivative of g**6/24 + 23*g**5/20 + 163*g**4/16 + 361*g**3/12 + 40*g**2 + 25*g - 155. Factor i(s).
(s + 1)**3*(s + 10)**2/4
Let k be (-13)/(12285/(-204)) + (-4)/(-10). Let a = k + -2/45. Factor -1/7*y**2 + a*y + 0.
-y*(y - 4)/7
Let h(a) be the second derivative of 7/150*a**6 + 17*a + 0*a**2 + 0 + 1/210*a**7 + 0*a**3 - 1/5*a**4 + 1/25*a**5. Factor h(n).
n**2*(n - 1)*(n + 2)*(n + 6)/5
Let f = 1637/1837 + 3/167. Let w be 1/(-6)*-26 - 6713/2877. Suppose -34/11*t**4 - 8/11*t**w + 0 - 32/11*t**3 + 0*t - f*t**5 = 0. What is t?
-2, -1, -2/5, 0
Let f(z) = -236*z + 52. Let q be f(4). Let c = q + 4476/5. What is d in -2/5*d**4 - 36/5*d**2 - 14/5*d**3 - c - 8*d = 0?
-2, -1
Let f(k) be the third derivative of -70*k**2 - 3/16*k**4 - 1/240*k**5 + 0*k - 17/24*k**3 + 0. Suppose f(y) = 0. Calculate y.
-17, -1
Let m = -996 - -993. Let d be 4/m + (-196)/(-147). What is k in d - k + 1/5*k**2 = 0?
0, 5
Suppose 712*m - 152*m - 1992 = 248. Let 9/7*t**m - 4/7*t**2 + 0 + 1/7*t**5 - 24/7*t + 18/7*t**3 = 0. Calculate t.
-6, -2, 0, 1
Let n(u) = -2*u**2 - u - 2. Let y(i) = -100*i**2 + 20*i + 32. Let m(l) = -16*n(l) - y(l). Factor m(c).
4*c*(33*c - 1)
Let z = 3494/13 + -17392/65. Factor 0 - 3/5*u**2 - z*u.
-3*u*(u + 2)/5
Let b(d) be the third derivative of 27*d**6/80 + 15*d**5/8 + 11*d**4/8 + 166*d**2 - 2*d. What is x in b(