
-17, 0, 1
Factor -34/5*f - 144/5 - 2/5*f**2.
-2*(f + 8)*(f + 9)/5
Let k(s) be the second derivative of s**4/6 + 33*s**3/5 - 126*s**2/5 - 772*s. Factor k(x).
2*(x + 21)*(5*x - 6)/5
Let u be ((-38213)/49 - -2) + 6. Let b = u + 773. Factor -4/7*m**2 - b*m - 4/7.
-4*(m + 1)**2/7
Let o(y) be the second derivative of y**5/25 - 8*y**4/3 + 296*y**3/15 - 288*y**2/5 + 1912*y. Factor o(l).
4*(l - 36)*(l - 2)**2/5
Suppose -512/3*j + 80/3*j**3 + 8/3*j**4 - 512/3 - 4/3*j**5 - 32/3*j**2 = 0. Calculate j.
-2, 4
Let o = -1 - -24. Suppose 2*q + 19 = o. Factor 2 - 5*a**3 - 2*a**2 + 7*a**4 - 7*a**q + 2*a + 3*a.
(a - 1)**2*(a + 1)*(7*a + 2)
Let y(i) be the first derivative of 5*i**6/27 + 8*i**5/15 - 8*i**4/9 - 32*i**3/9 - 16*i**2/9 + 3442. Find n such that y(n) = 0.
-2, -2/5, 0, 2
Let w(l) be the third derivative of -l**6/540 + 13*l**5/45 - 40*l**4/3 - 3200*l**3/27 - 3*l**2 + 4*l. Factor w(q).
-2*(q - 40)**2*(q + 2)/9
Suppose -253*w - 4 = 4*n - 255*w, 4*n + 22 = 5*w. Let b(a) be the first derivative of -2/39*a**3 - 21 + 4/13*a + 1/13*a**n. Solve b(m) = 0 for m.
-1, 2
Let f(n) be the third derivative of 19/84*n**4 - 11/210*n**5 - n + 0 - 3/7*n**3 + 1/420*n**6 + 12*n**2. Factor f(w).
2*(w - 9)*(w - 1)**2/7
Let v(g) be the second derivative of -2*g**6/15 + 24*g**5 - 1239*g**4 + 13924*g**3/3 + 8*g + 159. Factor v(s).
-4*s*(s - 59)**2*(s - 2)
Solve 2/3*u**4 - 16/3*u - 40 + 26*u**2 - 8*u**3 = 0.
-1, 2, 5, 6
Let p(a) be the third derivative of -1/630*a**5 + 35*a**2 + 0*a - 1/42*a**4 + 0 - 1/7*a**3. Let p(u) = 0. Calculate u.
-3
Determine y so that -142/13*y**2 + 0 - 132/13*y - 8/13*y**3 + 2/13*y**4 = 0.
-6, -1, 0, 11
Let d(w) = 313*w - 15650. Let l be d(50). Let s(y) = -y + 7. Let c be s(5). Factor -4/5*x**c + 4/5 + l*x.
-4*(x - 1)*(x + 1)/5
What is v in 160/11 + 2/11*v**5 + 22*v**3 - 86/11*v**4 - 74/11*v**2 - 244/11*v = 0?
-1, 1, 2, 40
Let l(g) be the third derivative of g**7/70 + 33*g**6/2 + 987*g**5/10 + 493*g**4/2 + 657*g**3/2 + 48*g**2 - 10. Factor l(k).
3*(k + 1)**3*(k + 657)
Let i(q) be the second derivative of 112*q**2 + 279*q + 0 + 64/3*q**3 + 1/140*q**5 + 29/42*q**4. Determine c, given that i(c) = 0.
-28, -2
Let y(i) be the second derivative of -i**4/12 - i**3/2 - i**2 - 11*i. Let q be y(-2). Factor -12 - 4*c**2 + q*c - 10*c - 6*c.
-4*(c + 1)*(c + 3)
Let d = 68 + -60. Suppose -d - 2 = -5*w. Suppose 2*i**4 + w*i + 2*i**2 + 5*i**2 - 2*i**3 + 3*i**2 - 12*i**2 = 0. Calculate i.
-1, 0, 1
Let s(u) be the third derivative of u**6/1980 - u**5/165 - 5*u**4/132 + 27*u**3/2 - 82*u**2. Let t(z) be the first derivative of s(z). Solve t(l) = 0.
-1, 5
Let j(z) be the first derivative of z**3/15 + 221*z**2/10 + 1498*z/5 - 8831. Factor j(q).
(q + 7)*(q + 214)/5
Let s(h) be the third derivative of 8*h**2 + 0*h**3 - 1/30*h**5 + 1/210*h**7 - 1 + 0*h + 1/12*h**4 - 1/80*h**6 + 1/672*h**8. Find l, given that s(l) = 0.
-2, 0, 1
Let -2*h**2 - 3328 + 288*h - 6307 - 3*h**2 + 252*h - 4945 = 0. What is h?
54
Suppose 1 - 1/2*w**5 - w**2 + 2*w**3 + 0*w**4 - 3/2*w = 0. Calculate w.
-2, -1, 1
Let p(m) = 100*m**2 - 5808*m + 2102500. Let r(a) = 188*a**2 - 11615*a + 4205000. Let n(o) = -15*p(o) + 8*r(o). Let n(g) = 0. What is g?
725
Let b = 1005 - 1001. Let w(a) be the third derivative of 0*a + a**3 - 1/40*a**6 - 31/24*a**b + 14/45*a**5 + 0 + 12*a**2. Solve w(g) = 0 for g.
2/9, 3
Let w(s) be the second derivative of s**5/12 - 20*s**4/9 + 205*s**3/18 - 65*s**2/3 - 975*s. Factor w(q).
5*(q - 13)*(q - 2)*(q - 1)/3
Factor 432260*q**3 + q**4 + 1188882*q**2 + 2*q**4 - 203695116*q - 435344*q**3 + 13087411203.
3*(q - 257)**4
Suppose 2094 = 52*z - 46*z. Let b = 351 - z. Find t, given that 8/13*t - 8/13 + 10/13*t**3 + 2*t**b = 0.
-2, -1, 2/5
Let f(s) = s**3 - 3*s**2 + s + 124. Let y be f(0). Let r be 340/(-425) - y/(-130). Suppose 10/13*b + 8/13 + r*b**2 = 0. What is b?
-4, -1
Let n(v) be the second derivative of 0 - 1/36*v**4 + 1/2*v**2 + 31*v + 1/120*v**5 - 5/36*v**3. Suppose n(m) = 0. What is m?
-2, 1, 3
Let y(v) be the third derivative of -25*v**8/168 - 3*v**7/28 + 139*v**6/48 - 19*v**5/8 - 235*v**4/48 - 5*v**3/2 + 489*v**2. Find j such that y(j) = 0.
-3, -1/4, -1/5, 1, 2
Let a(g) = 7*g**2 - 7*g - 2. Let y(l) = -l**2 + l + 1. Let i = 30 + -31. Suppose 6 = -6*f - 6. Let u(n) = f*y(n) + i*a(n). Factor u(q).
-5*q*(q - 1)
Let d(g) be the first derivative of -g**6/8 + 21*g**5/10 + 51*g**4/16 - 137*g**3/2 + 393*g**2/2 - 210*g + 6352. Suppose d(u) = 0. Calculate u.
-5, 1, 2, 14
Factor 4/3*r**3 + 20/3*r**2 - 112*r + 0.
4*r*(r - 7)*(r + 12)/3
Suppose 1762*t - 1786*t + 120 = 0. Let k(u) be the second derivative of 1/9*u**4 - 3*u + 4/9*u**3 - 8/3*u**2 - 1/30*u**t + 0. Factor k(z).
-2*(z - 2)**2*(z + 2)/3
Let b(o) be the third derivative of -o**5/180 - 643*o**4/18 - 826898*o**3/9 - 4388*o**2. Factor b(u).
-(u + 1286)**2/3
Let m(a) be the second derivative of -8/3*a**4 + 34/15*a**3 + 16/25*a**5 + 3*a - 4/5*a**2 + 10. Let m(n) = 0. What is n?
1/4, 2
Factor 1/6*o**2 + 841/3*o + 707281/6.
(o + 841)**2/6
Let t be (-220904)/(-96672) + (-18)/8. Let z(h) be the first derivative of 6/19*h**2 - 18/19*h + 14 - t*h**3. Factor z(j).
-2*(j - 3)**2/19
Factor -10524387/10*r - 5619/10*r**2 - 1/10*r**3 - 6570725617/10.
-(r + 1873)**3/10
Let h be ((-767)/(-65) - 11)*5/2. Let n(b) be the second derivative of -h*b**2 + 2*b + 2/3*b**3 - 1/20*b**5 + 31 + 1/12*b**4. Let n(l) = 0. What is l?
-2, 1, 2
Let n(j) be the third derivative of j**8/112 + 5*j**7/14 + 21*j**6/4 + 81*j**5/2 + 1485*j**4/8 + 1053*j**3/2 + 6*j**2 + 751*j. Factor n(o).
3*(o + 3)**4*(o + 13)
Let u(v) be the third derivative of -2*v**7/735 + v**6/105 + 4*v**5/105 - v**4/21 - 2*v**3/7 - 2*v**2 + 53. Let u(x) = 0. Calculate x.
-1, 1, 3
Let m(p) be the second derivative of -7*p + 0 + 1/480*p**6 + 3/160*p**5 + 0*p**2 + 1/16*p**4 + 1/3*p**3. Let r(h) be the second derivative of m(h). Factor r(z).
3*(z + 1)*(z + 2)/4
Let l(v) be the second derivative of -v**6/20 - 75*v**5/8 + 253*v**4/8 - 127*v**3/4 + 1383*v. Factor l(w).
-3*w*(w - 1)**2*(w + 127)/2
Solve -4101/2*w**2 + 3/2*w**5 - 1836*w + 3669/2*w**3 + 1944 + 213/2*w**4 = 0.
-36, -1, 1
Let y(m) be the first derivative of 4*m**5/5 + 676*m**4 + 155888*m**3 + 1806272*m**2 + 7139584*m - 7588. Factor y(v).
4*(v + 4)**2*(v + 334)**2
Let d = -374 + 379. Factor -3*b**3 + 3*b**4 - 59*b**2 - b**d + 29*b**2 + 31*b**2.
-b**2*(b - 1)**3
Let t = 40612/182781 - -2/60927. Determine o, given that 10/9*o - t*o**2 + 4/3 = 0.
-1, 6
Let u(t) = -8*t**3 - 34*t**2 - 100*t + 147. Let m(h) = 39*h**3 + 171*h**2 + 501*h - 735. Let c = -37 + 32. Let o(i) = c*m(i) - 24*u(i). Let o(d) = 0. What is d?
-7, 1
Let h(q) = -q**3 + 8*q**2 - 46. Let v be h(7). Let s(m) be the first derivative of 3/4*m**4 - 4 + 12*m + 0*m**2 - v*m**3. Factor s(p).
3*(p - 2)**2*(p + 1)
Factor 156/5*k - 2/5*k**2 + 486/5.
-2*(k - 81)*(k + 3)/5
Let a(q) be the second derivative of -q**4/16 - 49*q**3/8 - 333*q**2/2 - 494*q. Factor a(j).
-3*(j + 12)*(j + 37)/4
Let d(x) = -6*x**2 + 613*x + 3896. Let f be d(-6). Solve 2/5*o**f + 0 + 0*o - 2/5*o**3 = 0.
0, 1
Let q(a) be the third derivative of a**2 + 0*a + 1/1680*a**7 - 1/320*a**6 - 1/96*a**5 + 1/64*a**4 + 18 + 1/12*a**3. Factor q(u).
(u - 4)*(u - 1)*(u + 1)**2/8
Let y(f) be the first derivative of f**4/28 - 11*f**3/7 - 92*f**2/7 - 228*f/7 - 2166. Suppose y(a) = 0. What is a?
-3, -2, 38
Factor 281/9*j**2 + 94/9*j**3 - 2/9 + 185/9*j.
(j + 1)*(j + 2)*(94*j - 1)/9
Let w(y) = 7*y + 89. Let g be w(-12). Suppose 0 = 6*b - 17 + g. Solve -8/19 + 40/19*z - 18/19*z**b = 0 for z.
2/9, 2
Suppose 12*j + 144 = 48. Let p be (2 + (-35)/20)/((-5)/j). Factor -p*v - 4/15 - 2/15*v**2.
-2*(v + 1)*(v + 2)/15
Let t(f) be the first derivative of -f**6/6 + 16*f**5/5 - 21*f**4 + 176*f**3/3 - 64*f**2 + 1163. Factor t(r).
-r*(r - 8)*(r - 4)*(r - 2)**2
Solve -20/7*b + b**4 + 65/7*b**2 - 40/7*b**3 - 12/7 = 0 for b.
-2/7, 1, 2, 3
Let a(d) be the first derivative of 0*d - 8/15*d**3 + 8/25*d**5 + 3/2*d**4 + 14 + 0*d**2. Suppose a(f) = 0. What is f?
-4, 0, 1/4
Let u = 172868 + -172866. Let z = 17/36 - 1/4. Factor z + 0*s - u*s**2.
-2*(3*s - 1)*(3*s + 1)/9
Let f(h) be the second derivative of -h**7/35 + h**6/40 + h**5/40 - h**4/32 - 9*h**2/2 - 52*h. Let q(b) be the first derivative of f(b). Factor q(m).
-3*m*(2*m - 1)**2*(2*m + 1)/4
Let -140 + 1133*m - 5*m**2 - 2154*m +