tive of b**3/12 + b**2/2 - 5*b/4 - 969. Factor c(i).
(i - 1)*(i + 5)/4
Factor 415*a - 5/4*a**2 + 5025/4.
-5*(a - 335)*(a + 3)/4
Let m(q) be the first derivative of q**4/18 - 1012*q**3/27 + 64009*q**2/9 - 538. Factor m(n).
2*n*(n - 253)**2/9
Let x be (-6)/(-3) + 3/((-6)/82). Let d = 43 + x. Factor h**4 - h**4 + 10*h + 2*h - 12*h**3 - 4*h**4 + d*h**2.
-4*h*(h - 1)*(h + 1)*(h + 3)
Suppose -4*x + 8*x = 16. Factor 12*a**x - 3*a - 8 + 6*a**2 - 14*a**4 - 4*a**3 + 2*a + 9*a.
-2*(a - 1)**2*(a + 2)**2
Let t(z) be the second derivative of -2*z**6/15 - 63*z**5/5 - 377*z**4 - 8410*z**3/3 + 774*z. Factor t(c).
-4*c*(c + 5)*(c + 29)**2
Let d be (-40)/52 + (-6408)/(-2314). Solve 3/5*t**d + 1/5*t**3 - 4/5 + 0*t = 0 for t.
-2, 1
Let r(p) be the third derivative of p**5/180 + 529*p**4/36 + 279841*p**3/18 + 157*p**2 + 5*p. Let r(j) = 0. Calculate j.
-529
Let l(m) be the third derivative of m**7/21 - 9*m**6/8 + m**5/6 + 255*m**4/8 - 325*m**3/3 + 1209*m**2 + 2. Solve l(f) = 0.
-5/2, 1, 2, 13
Let s = 446 + -443. Suppose 26 + 5 - 6*h - 46 + 11 + 2*h**s = 0. What is h?
-1, 2
Factor -3*i**3 - 12 + 43 + 31*i - 18*i**2 + 41 + 0*i**3 + 26*i.
-3*(i - 3)*(i + 1)*(i + 8)
Suppose 4*u - 5*x - 3 = 0, 3*u - 4*x - x - 1 = 0. Let o be 6 + u + (-328)/44. What is f in 2/11*f**3 - 10/11*f**2 - o + 14/11*f = 0?
1, 3
Let v(m) be the second derivative of m**4/90 - 77*m**3/5 + 692*m**2/15 - 3*m - 64. Factor v(r).
2*(r - 692)*(r - 1)/15
Let n = 5332 - 5309. Let v(c) be the third derivative of 1/9*c**3 - 1/180*c**5 + 0 - 1/72*c**4 + n*c**2 + 0*c. Let v(o) = 0. Calculate o.
-2, 1
Suppose 3*j - f = 16, -4*j + 2*j + f = -10. Factor -17638*m**2 - 16 + j*m**3 + 4*m + 0*m**3 + 17664*m**2.
2*(m + 1)*(m + 4)*(3*m - 2)
Let f(n) = -9*n**2 + n**2 + 9*n**2 - 7*n. Let s be f(7). Solve u**2 - 24*u - 28 + s*u**2 + 2*u**2 + u**2 = 0 for u.
-1, 7
Suppose -843*t = 371 - 2057. Suppose 57/7*z**4 + 9/7*z**5 + 0*z**t + 0 + 18/7*z**3 + 0*z = 0. Calculate z.
-6, -1/3, 0
Let j(f) be the third derivative of 0 - 23/6*f**4 + 199/60*f**5 + 2*f**3 + 15*f**2 - 7/12*f**6 + 0*f - 7/30*f**7. Factor j(u).
-(u - 1)*(u + 3)*(7*u - 2)**2
Let n = 273517/5 - 54701. Let p = -1267 - -6359/5. Suppose 24/5 + n*t**3 + 6/5*t**4 - p*t - 18/5*t**2 = 0. What is t?
-2, 1
Suppose 0 = 4*o + 2*s - 8, 5*o + 7*s - 8 = 4*s. Solve 7174*l**o - 4*l + 16 - 7172*l**4 + 7*l**3 - 3*l**3 - 18*l**2 = 0 for l.
-4, -1, 1, 2
Factor 7*d**3 + 248 + 73*d**2 - 15*d**2 + 15*d**3 - 25*d**3 + 4*d**3 - 244*d.
(d - 2)**2*(d + 62)
Let 582/7 - 188/7*i - 2/7*i**2 = 0. Calculate i.
-97, 3
Factor -4*h**3 + 0*h**3 - 103*h**2 - 92*h**2 + 7*h**3 - 410*h + 2*h**3.
5*h*(h - 41)*(h + 2)
Let c be (-68)/(-8) + -7 + (-2265)/1518. Let s = c - -3283/759. Factor -2/3 + 11/3*f + 4/3*f**3 - s*f**2.
(f - 2)*(f - 1)*(4*f - 1)/3
Let u(v) be the first derivative of 10*v**6/3 + 128*v**5/5 + 52*v**4 + 64*v**3/3 + 629. Solve u(l) = 0.
-4, -2, -2/5, 0
Let o(i) be the third derivative of -2*i**3 - 2/3*i**4 + 2/15*i**5 + 2/105*i**7 + 0*i + 2/15*i**6 - 33*i**2 + 0. Suppose o(f) = 0. What is f?
-3, -1, 1
Let o(s) be the third derivative of -s**5/70 - 601*s**4/84 + 134*s**3/7 - 1039*s**2. Factor o(l).
-2*(l + 201)*(3*l - 2)/7
Let v(k) be the first derivative of 4*k**3/3 - 190*k**2 - 776*k - 580. Factor v(w).
4*(w - 97)*(w + 2)
Solve 8*k**3 + 944*k + 4*k**4 + 1115 + 432*k**2 - 411 + 82*k**3 - 14*k**3 = 0 for k.
-11, -4, -2
Let w(h) be the second derivative of 0 - 1/3*h**4 + 18*h - 6*h**3 - 28*h**2. Factor w(n).
-4*(n + 2)*(n + 7)
Let w(q) = -9*q**2 - 535*q - 1996. Let o be w(-4). Let 2/5*s**2 + o*s**4 - 7/5*s**3 + 1/5*s**5 + 12/5*s - 8/5 = 0. What is s?
-2, 1, 2
Let b(h) be the third derivative of 2*h**7/945 + 7*h**6/270 - h**5/45 - 55*h**4/54 + 100*h**3/27 + 22*h**2 + 73*h + 2. Factor b(y).
4*(y - 2)*(y - 1)*(y + 5)**2/9
Let y(g) be the third derivative of -8*g**3 - 1/32*g**6 + 0 - 3/2*g**4 - 2*g + 9/20*g**5 - 64*g**2. Find z, given that y(z) = 0.
-4/5, 4
Let z(q) be the third derivative of q**8/10920 - q**6/1170 + q**4/156 - 5*q**3/6 + 3*q**2 + 5*q. Let o(g) be the first derivative of z(g). Factor o(j).
2*(j - 1)**2*(j + 1)**2/13
Factor 210*g**2 + 294*g**3 + 6*g**4 + 131*g**3 + 124*g**4 + 5*g**5 + 129*g**4 - 39*g**4.
5*g**2*(g + 1)**2*(g + 42)
Suppose 4*d - 75 = 5*x, d - x = -2*x + 21. Let i be 300/(-120)*-2*1/d. Suppose 0 - 1/4*l**3 + 1/4*l**2 - 1/4*l**4 + i*l = 0. Calculate l.
-1, 0, 1
Let h be (426/12 + -36)/((-4)/16). Determine i, given that 128/15 + 2/15*i**h - 32/15*i = 0.
8
Factor -158/5*i**2 + 1/5*i**3 - 481/5*i - 322/5.
(i - 161)*(i + 1)*(i + 2)/5
Determine g, given that 128 - 16*g**2 + 11*g - 12*g**2 + 1655*g**3 - 3360*g**3 + 125*g + 1669*g**3 = 0.
-16/9, -1, 2
Let i(c) = 9*c**2 - 748*c + 757. Let x(a) = -38*a**2 + 2986*a - 3029. Let v(q) = 9*i(q) + 2*x(q). Factor v(h).
5*(h - 151)*(h - 1)
Factor -420*r + 83/4*r**2 - 1/4*r**3 - 441.
-(r - 42)**2*(r + 1)/4
Let k(l) be the second derivative of -l**6/360 - l**5/40 + l**4/6 - l**3/2 - 41*l**2/2 + 2*l - 74. Let j(v) be the second derivative of k(v). Factor j(z).
-(z - 1)*(z + 4)
Let h(k) be the first derivative of k**4/6 - 4*k**3/9 - 85*k**2/3 - 308*k/3 - 1278. Factor h(g).
2*(g - 11)*(g + 2)*(g + 7)/3
Let j(a) be the second derivative of 0*a**5 + 2*a + 0*a**3 + 0*a**2 + 3 + 1/40*a**6 - 1/16*a**4. Determine c so that j(c) = 0.
-1, 0, 1
Let d(p) = p. Let w be d(2). What is k in -25*k - 8*k**2 + 9*k**2 + 0*k**2 - 6*k**w = 0?
-5, 0
Suppose -180*b + 169*b = -33. Let y(r) be the second derivative of -11*r - 1/5*r**5 + 0*r**4 + 0*r**2 + 0 + 0*r**b. Let y(d) = 0. What is d?
0
Let h(u) be the second derivative of -u**7/70 - u**6/10 + 36*u**2 - 119*u. Let c(x) be the first derivative of h(x). Find f such that c(f) = 0.
-4, 0
Let v(z) be the third derivative of -z**6/15 + 13*z**5/15 - 24*z**3 - 131*z**2. Factor v(h).
-4*(h - 6)*(h - 2)*(2*h + 3)
Suppose -4*b - 17 = x + b, -2*x - 26 = 2*b. Let k = x + 15. Factor 7*m**2 - 23*m**2 + 12*m**2 - 5*m + 14*m**2 + 15*m**k.
5*m*(m + 1)*(3*m - 1)
Let o(d) be the first derivative of d**4/102 - 5*d**3/51 + 6*d**2/17 - 41*d - 97. Let c(h) be the first derivative of o(h). Suppose c(q) = 0. Calculate q.
2, 3
Let r(i) = -i**2 + i - 1. Let d(u) = -4*u**2 - 179*u + 205. Let k(m) = -m**2 - 45*m + 51. Let g(o) = 2*d(o) - 9*k(o). Let f(b) = g(b) - r(b). Factor f(p).
2*(p - 1)*(p + 24)
Let p be -15*(-24)/(-18)*18/(-54). Let z(s) be the second derivative of -36*s + 10/3*s**3 + 0 - p*s**2 + 1/12*s**5 - 5/6*s**4. Factor z(b).
5*(b - 2)**3/3
Let f(a) be the first derivative of 7/13*a**2 + 16/13*a - 2/39*a**3 + 55. Suppose f(n) = 0. Calculate n.
-1, 8
Let -540 + 54*z**3 - 1338*z - 4/3*z**5 + 14*z**4 - 1478/3*z**2 = 0. Calculate z.
-5, -2, -1/2, 9
Let 2*x - 1/3*x**4 + 0 + 8/3*x**3 - 13/3*x**2 = 0. Calculate x.
0, 1, 6
Factor -413*g**3 + 15*g**5 - 17*g**5 - 8*g**2 + 397*g**3 - 10*g**4.
-2*g**2*(g + 1)*(g + 2)**2
Let h(v) be the second derivative of -v**4/6 + 626*v**3/3 - 97969*v**2 + 4*v + 127. Factor h(z).
-2*(z - 313)**2
Let u(x) be the first derivative of 3*x**4/4 - 8*x**3 - 6*x**2 + 96*x + 261. Factor u(v).
3*(v - 8)*(v - 2)*(v + 2)
Let f(c) = c**3 + 4*c**2 - 6*c - 2. Let r be f(-5). Factor 18*n**3 + 2*n**2 + 12*n**3 + 12*n - 32*n**r.
-2*n*(n - 3)*(n + 2)
Let h(x) = 16*x + 28. Let y be h(-1). Let b be ((-220)/(-275))/(-2 - y/(-5)). Let 0 + 8/7*r - 72/7*r**b + 162/7*r**3 = 0. Calculate r.
0, 2/9
Let p be 145/14 + 2616/1744. Find l, given that -15/7*l**3 - 10/7 - 58/7*l**2 + p*l = 0.
-5, 2/15, 1
Suppose 21*p + 796 = 4324. Suppose 3*b + 5*n - 258 = n, -2*b + p = 4*n. Let 0 - b*a**5 + 15/2*a**2 + 5*a - 90*a**3 - 365/2*a**4 = 0. What is a?
-1, -1/4, 0, 2/9
Let i(o) = -4*o**4 - 23*o**3 - 41*o**2 - 12*o - 5. Let n(l) = -3*l**4 - 20*l**3 - 39*l**2 - 14*l - 4. Let h(d) = 4*i(d) - 5*n(d). Factor h(t).
-t*(t - 11)*(t + 1)*(t + 2)
Let s(k) be the second derivative of k**7/378 - k**5/36 + 2*k**3/27 + k + 471. Find w, given that s(w) = 0.
-2, -1, 0, 1, 2
Let z(u) be the first derivative of -5*u**7/42 + 3*u**6/2 - 15*u**5/4 + 35*u**4/12 + 30*u - 45. Let m(q) be the first derivative of z(q). Factor m(s).
-5*s**2*(s - 7)*(s - 1)**2
Let r be ((-69)/161)/(13662/(-30800) - 3/(-7)). Let 198/7*u**2 - 40/7*u**3 + 40/7*u - r + 2/7*u**4 = 0. Calculate u.
-1, 1, 10
Let t be (64/6)/(-4) - 30/(-10). Let o be ((-8 + 3)/(-5))/(1/3). Let 0 + 4/3*c**2 