**5/5 + 17*n**2/2 + 157. Let h(t) be the second derivative of q(t). Solve h(b) = 0 for b.
-1, 0, 24
Let c(w) be the second derivative of w**4/12 - 7*w**3/3 - 36*w**2 - 74*w - 4. Suppose c(g) = 0. What is g?
-4, 18
Let v(q) be the third derivative of 5*q + 0 + 2/21*q**4 + 1/420*q**6 + 0*q**3 - 1/35*q**5 - 4*q**2. Factor v(x).
2*x*(x - 4)*(x - 2)/7
Let r be (-540)/(38 - -7) - -12. Factor -22/3*t**4 + 0*t + 4/3*t**5 + 8*t**3 + 6*t**2 + r.
2*t**2*(t - 3)**2*(2*t + 1)/3
Suppose 449*t = 612*t - 978. Factor -3/4*m**2 - 12 - t*m.
-3*(m + 4)**2/4
Let w be 807012/5268768 + (-2)/71. Factor -w*u**3 - 33/8*u + 2 + 9/4*u**2.
-(u - 16)*(u - 1)**2/8
Let g(f) = 2*f + 7. Let j be g(-1). Suppose 0*a + 14 = 2*a + j*t, 0 = 2*a - t - 2. Factor -20*d - 11 + 51 - a*d**3 - 10*d**2 + 7*d**3.
5*(d - 2)**2*(d + 2)
Let c(u) = u**3 + 2*u**2 + 2*u - 2. Let a(s) = -17*s**3 - 428*s**2 + 1392*s - 404. Let m(p) = 2*a(p) + 22*c(p). Suppose m(v) = 0. What is v?
-71, 1/3, 3
Let b(w) be the first derivative of -2*w**5/5 - w**4 + 2*w**2 + 2*w + 294. Suppose b(l) = 0. What is l?
-1, 1
Let s be (-224)/(-16)*(-1 + 2)/7*2. Let w be (-176)/(-56) + 2/(-14). Determine m, given that 16/5*m**w + 0 - 4/5*m**s + 44/5*m**2 + 24/5*m = 0.
-1, 0, 6
Let l(w) = w**2 - 1. Let z be l(-2). Let o = 422315 + -422315. Solve 4/7*u**z - 6/7*u**2 + 2/7*u**4 + 0*u + o = 0 for u.
-3, 0, 1
Let z(w) be the third derivative of -w**6/40 - 21*w**5/20 - 9*w**4/4 + 20*w**3 - 8*w**2 + 46*w - 2. Let z(s) = 0. Calculate s.
-20, -2, 1
Let j(p) be the second derivative of p**5/140 - 565*p**4/21 + 638450*p**3/21 - 2582*p + 1. Let j(k) = 0. What is k?
0, 1130
Suppose -3*s - 6 = p + 3*p, 5 = s - p. Factor -u**5 - 12*u**3 - 14*u**4 + 12*u - 5*u + 6*u + 14*u**s + 0*u.
-u*(u - 1)*(u + 1)**2*(u + 13)
Let -119/2*a**5 + 13*a - 169/2*a**4 - 12 + 93/2*a**3 + 193/2*a**2 = 0. Calculate a.
-1, -12/17, 2/7, 1
Suppose 2/3*f**2 + 2/3*f + 2/9*f**3 + 2/9 = 0. What is f?
-1
Let k(m) be the first derivative of m**5/20 - 9*m**4/8 - 21*m**3/4 - m**2/2 + 21*m + 172. Factor k(o).
(o - 21)*(o - 1)*(o + 2)**2/4
Let n(f) be the first derivative of -3*f**4/4 - 145*f**3/3 - 92*f**2 + 188*f + 1085. Factor n(i).
-(i + 2)*(i + 47)*(3*i - 2)
Let s(i) be the second derivative of -2/49*i**7 + 4/21*i**3 + 0*i**2 + 1/7*i**4 - 3/35*i**5 - 2/15*i**6 + 0 + i. Factor s(g).
-4*g*(g + 1)**3*(3*g - 2)/7
Let q(l) be the third derivative of -43*l**2 + 0 + 1/30*l**6 + 0*l + 11/15*l**5 - 25/6*l**4 + 26/3*l**3. Factor q(t).
4*(t - 1)**2*(t + 13)
Let f be ((-3)/(-12))/(3/60). Suppose -3*b - f*j = 11 + 2, -4*j = b + 16. Factor -l**3 + 8 - l + b + 3*l**2 - 15 + 2*l.
-(l - 3)*(l - 1)*(l + 1)
Let j(u) be the second derivative of -u**4/12 - 6*u**3 - 64*u**2 - 2*u - 321. Suppose j(a) = 0. Calculate a.
-32, -4
Find i such that 140/3*i + 1/3*i**3 + 0 - 11*i**2 = 0.
0, 5, 28
Let h = 10443 - 10438. Let j(p) be the third derivative of 0*p - 22*p**2 + 0*p**3 + 0 + 1/240*p**h - 1/96*p**4. Factor j(n).
n*(n - 1)/4
Let r be (-1 - (-15)/(-2))*-2. Suppose 2*c - r = 3*l, l + 13 = 4*c + 2*l. Factor -5*i + 10 - 4*i**3 + 5*i**3 + c*i**3 - 10*i**2 + 0*i**2.
5*(i - 2)*(i - 1)*(i + 1)
Let j(p) be the third derivative of -p**7/1155 - 59*p**6/660 - 29*p**5/165 - 1988*p**2. Factor j(r).
-2*r**2*(r + 1)*(r + 58)/11
Let i(j) = -3*j**2 - 23*j - 24. Let m(y) = -4*y**2 - 24*y - 26. Let l be 0 + -6 - (3 - 7). Let h(c) = l*m(c) + 3*i(c). Factor h(f).
-(f + 1)*(f + 20)
Factor -4432/11*u - 153458/11 - 32/11*u**2.
-2*(4*u + 277)**2/11
Let z(g) be the first derivative of -g**4/5 - 452*g**3/15 + 8*g**2/5 + 1808*g/5 - 6119. Factor z(d).
-4*(d - 2)*(d + 2)*(d + 113)/5
Let d(p) be the first derivative of 85*p**4/4 - 1010*p**3/3 - 1225*p**2/2 - 130*p + 896. Factor d(y).
5*(y - 13)*(y + 1)*(17*y + 2)
Let r = -73920 + 591525/8. Suppose -9075/8*c - 166375/8 - r*c**2 - 1/8*c**3 = 0. Calculate c.
-55
Let j(o) be the second derivative of -81 - 7/24*o**4 - 2*o**2 - 1/80*o**5 - 2*o + 31/24*o**3. What is y in j(y) = 0?
-16, 1
Let q be (-27 + 24)/((-78)/4). Suppose 18*x + 412 = 145*x + 79*x. Factor 2/13 + 4/13*t + q*t**x.
2*(t + 1)**2/13
Let m be (1 + -21)/2 - (-111)/(4773/602). Factor 0 + 0*d - 9/4*d**2 + 3/8*d**m + 3/8*d**3.
3*d**2*(d - 2)*(d + 3)/8
Suppose -35*r + 45*r = -21 + 81. Let x(b) be the first derivative of 40*b**3 - 9 + 40*b**2 + 5/4*b**4 + 0*b - 6*b**5 + 5/6*b**r. Factor x(t).
5*t*(t - 4)**2*(t + 1)**2
Let w(t) be the second derivative of 575*t**4/36 + 5*t**3/9 - 3868*t. Solve w(s) = 0 for s.
-2/115, 0
Factor -1/3*z**2 - 8*z + 1/3*z**3 - 12.
(z - 6)*(z + 2)*(z + 3)/3
Suppose a + 3*n - 32 = -52, 16 = -19*a - 5*n. Factor -1/6*f**2 - a - 7/6*f.
-(f + 1)*(f + 6)/6
Suppose 175*d = 378*d - 812. Suppose -4/15*p**d + 0*p**3 + 0 + 2/15*p**5 + 4/15*p**2 - 2/15*p = 0. What is p?
-1, 0, 1
Determine f, given that -15/4*f**5 - 185220 - 19685*f**3 + 270900*f**2 + 105840*f + 1885/4*f**4 = 0.
-1, 2/3, 42
Let l(y) be the first derivative of 9*y**5/40 + 15*y**4/16 + y**3/24 - 7*y**2/4 - 3*y/2 + 2121. Factor l(t).
(t - 1)*(t + 3)*(3*t + 2)**2/8
Factor 2*y + 72*y + 48*y + 171 + 87*y - 3*y**3 + 45*y**2 + 10*y.
-3*(y - 19)*(y + 1)*(y + 3)
Factor -48/5*c + 4/5*c**2 + 144/5.
4*(c - 6)**2/5
Let g(w) = -10*w**4 - 48*w**3 + 173*w**2 - 188*w + 7. Let k(y) = 4*y**4 + 24*y**3 - 87*y**2 + 96*y - 3. Let o(x) = 3*g(x) + 7*k(x). Let o(h) = 0. Calculate h.
0, 3, 6
Let k(b) be the second derivative of b**7/77 + 2*b**6/55 - 21*b**5/110 - 4*b**4/11 + 12*b**3/11 - 4111*b. Find c such that k(c) = 0.
-3, -2, 0, 1, 2
Let g(c) be the first derivative of 44 + 4/3*c**3 + 10*c - 11*c**2. Factor g(w).
2*(w - 5)*(2*w - 1)
Let p(x) be the second derivative of -x**4/96 + 83*x**3/8 - 317*x. Factor p(r).
-r*(r - 498)/8
Let o be (1/3)/(127/1143). Let v(q) be the first derivative of -5*q**2 + 12*q + 2/3*q**o - 17. Factor v(i).
2*(i - 3)*(i - 2)
Suppose -n = 16 - 15. Let x(c) = -c**2 - 1. Let b(m) = -3*m**2 - 6*m + 9. Suppose 42*g - 12 = 44*g. Let z(q) = g*x(q) + n*b(q). Factor z(f).
3*(f + 1)*(3*f - 1)
Let h(l) be the first derivative of -52*l**5/25 + 29*l**4 + 536*l**3/15 - 48*l**2/5 - 2115. Find t such that h(t) = 0.
-1, 0, 2/13, 12
Let x = 2/15313 - -1041278/45939. Suppose 22*t + x - 2/3*t**2 = 0. Calculate t.
-1, 34
Let l be (12/34)/(-3) + (-52)/(26520/(-145)). Let k(y) be the second derivative of -27*y + 4/3*y**3 + 0 + 0*y**2 - l*y**4. Factor k(q).
-2*q*(q - 4)
Let x(g) be the third derivative of 2*g**7/105 + 14*g**6/15 - 6*g**5 + 46*g**4/3 - 62*g**3/3 + 1291*g**2. Factor x(k).
4*(k - 1)**3*(k + 31)
Let z be (-1652)/154*4/32. Let c = z + 23/11. Factor c*j**3 + 0*j + 0 - 1/4*j**2 - 1/2*j**4.
-j**2*(j - 1)*(2*j - 1)/4
Let c be 3445/1300 + 8/(-32). Solve 0 - 51/5*f**3 - 9/5*f**5 + 0*f - c*f**2 - 48/5*f**4 = 0.
-4, -1, -1/3, 0
Suppose 273*m = 271*m + 28. Factor 26*u + 29*u + 5*u**2 + 13 + m + 93.
5*(u + 3)*(u + 8)
Let o(m) be the first derivative of -36 + 5/9*m**3 + 5/2*m**2 - 20/3*m. Let o(j) = 0. Calculate j.
-4, 1
Factor 0*n - 2/5*n**5 - 914/5*n**3 - 92*n**4 - 456/5*n**2 + 0.
-2*n**2*(n + 1)**2*(n + 228)/5
Let r = -842739/10 - -84274. Factor -1/10 + 0*p + r*p**2.
(p - 1)*(p + 1)/10
Let w = -2/2163 - -6493/4326. Let d(o) be the first derivative of w*o**4 + 2/5*o**5 + 11 + o**2 + 0*o + 2*o**3. Determine v, given that d(v) = 0.
-1, 0
Let f(o) be the first derivative of -o**5/70 - o**4/6 - 11*o**3/21 - 5*o**2/7 - 78*o + 186. Let s(k) be the first derivative of f(k). Factor s(n).
-2*(n + 1)**2*(n + 5)/7
Let k be -1*(-10 + (-2 - -3)). Let b(d) = -d**3 + 8*d**2 + 8*d + 15. Let m be b(k). Factor 12*u**2 + 3 - 4*u**2 - u**3 + u - 5*u**2 - m*u**2.
-(u - 1)*(u + 1)*(u + 3)
Let z be (0 - (1 - 5)) + 15. Let d = 23 - z. Factor -25*b**3 - 42 + 30*b**2 + 2 + 20*b + 0 + 5*b**d.
5*(b - 2)**3*(b + 1)
Suppose 2*a + 5 = -7*m + 2*m, 0 = 5*a - 5*m - 5. Suppose -3*f + 3*p + 117 = 0, -f + 5*p - p + 24 = a. Factor -f + 92 + n**2 - 47 - 2*n.
(n - 1)**2
Let r(f) be the third derivative of -3/2*f**3 - 1/70*f**7 - f**2 + 35/32*f**4 + 9/80*f**6 + 1/1344*f**8 - 7/15*f**5 + 0*f - 27. Solve r(i) = 0 for i.
1, 3, 4
Factor -7616*n - 2/5*n**3 - 556/5*n**2 + 15680.
-2*(n - 2)*(n + 140)**2/5
Suppose -18 = 294*u - 300*u. Factor -55*l**3 - 2*l**5 - 4*l**2 + 10*l**4 + 18*l**2 + 2*l - 6*l - 51*l**3 + 88*l**u.
-2*l*(l - 2)*(l - 1)**3
Let y(v) be the first derivative of v**4/2 - 94*v**3/3 + 87*v**2 