/3 - b**3/2 - 7*b. Let u(d) be the third derivative of r(d). Factor u(g).
-3*g*(g - 7)/4
Let p(o) be the first derivative of -o**4/16 - 25*o**3/4 + 41*o**2/4 + 114*o + 7840. Suppose p(u) = 0. What is u?
-76, -2, 3
Let c(p) be the first derivative of p**6/15 + 66*p**5/25 + 283*p**4/10 + 66*p**3/5 - 1184*p**2/5 + 1536*p/5 - 4392. Determine t so that c(t) = 0.
-16, -3, 1
Let s(i) be the second derivative of -11*i**6/135 + i**5/15 + 11*i**4/54 - 2*i**3/9 + 2*i - 51. Let s(t) = 0. Calculate t.
-1, 0, 6/11, 1
Suppose -r = 5*j - 57, 48*r - 43*r - 5*j - 165 = 0. Suppose r*g = -32*g + 138. Suppose -1/3*w**g - 1 + 4/3*w = 0. Calculate w.
1, 3
Let b(j) = 2*j**2 + j - 3. Let y be b(-8). Suppose -99*l = -y*l + 648. Let 6*i**2 + 72 - 1/3*i**3 - l*i = 0. Calculate i.
6
Let o(j) be the second derivative of -21/20*j**5 + 0*j**2 - 1/2*j**6 - 1/14*j**7 - 3/4*j**4 - 4 + j + 0*j**3. Factor o(m).
-3*m**2*(m + 1)**2*(m + 3)
Let d(r) be the first derivative of -2*r**5/15 + 7*r**4/2 + 52*r**3/9 - 28*r**2 - 176*r/3 + 255. Determine x so that d(x) = 0.
-2, -1, 2, 22
Let p(v) be the first derivative of v**3/21 + 55*v**2/14 + 48*v + 1333. Solve p(b) = 0.
-48, -7
Let c = 11763/3437 + 3/491. Let t = 222685 - 222685. What is b in -c*b**2 + 4/7*b**5 + 40/7*b**3 + t*b + 0 - 22/7*b**4 = 0?
0, 3/2, 2
Let f(n) be the second derivative of -33*n**5/20 + 37*n**4/4 + 45*n**3 - 1382*n. Factor f(k).
-3*k*(k - 5)*(11*k + 18)
Factor 12*o**3 + 8*o**2 - 619837 + 2*o**5 + 619837 - 10*o**4 - 16*o.
2*o*(o - 2)**3*(o + 1)
Suppose -35*j - 33 + 103 = 0. Suppose -28/11*k**j + 0 + 2/11*k = 0. What is k?
0, 1/14
Let v(x) be the first derivative of 5*x**7/168 - x**6/6 + x**5/6 - x**3 - 2*x + 4. Let f(g) be the third derivative of v(g). Factor f(n).
5*n*(n - 2)*(5*n - 2)
Let m = -144362 + 721912/5. Solve 21/5*u**4 - 63/5 - m*u**2 + 18/5*u**3 - 159/5*u - 3/5*u**5 = 0 for u.
-1, 3, 7
Factor -20*v**3 - 28575*v**2 + 57180*v**2 - 28*v - 28559*v**2 + 2*v**4.
2*v*(v - 7)*(v - 2)*(v - 1)
Let i be 34/51*45/2. Let i*b - 1090*b**5 + 69*b**4 + 6*b**4 + 30*b**2 - 90*b**3 - 9 + 1069*b**5 = 0. Calculate b.
-3/7, 1
Let g(y) be the first derivative of 9*y**4/2 + 62*y**3/3 - 40*y**2 + 26*y - 87. Let q(t) = -2*t**3 - 7*t**2 + 9*t - 3. Let d(a) = 6*g(a) + 52*q(a). Factor d(v).
4*v*(v - 1)*(v + 3)
Let k = -15594/7 - -2230. Let c be (-24)/21*3/(-12). Factor 32/7 + c*j**2 - k*j.
2*(j - 4)**2/7
Let d be ((-39)/15 - -2) + (-20)/50. Let r(s) = s**2 + s - 1. Let y(f) = -10*f**2 + 115*f - 715. Let u(x) = d*y(x) - 5*r(x). Factor u(n).
5*(n - 12)**2
Let v(p) be the second derivative of p**7/168 - p**6/60 - p**5/16 + 5*p**4/24 + p**3/6 - p**2 - 13*p + 27. Find k, given that v(k) = 0.
-2, -1, 1, 2
Let h(s) be the third derivative of -7*s**8/80 + s**7/10 + 34*s**6/25 + 48*s**5/25 - 2151*s**2. Solve h(j) = 0.
-8/7, 0, 3
Let k(y) = y**5 + 2*y**3 - 3*y**2 - y - 1. Let n(z) = -3*z**5 - 17*z**3 + 16*z**2 + 16*z + 4. Let m(b) = -4*k(b) - n(b). Factor m(p).
-p*(p - 2)**2*(p + 1)*(p + 3)
Let g = -2121862/3 - -707298. Find p, given that -16/9*p**3 + 2/9*p**5 - 10/9*p**4 + 0 + 0*p + g*p**2 = 0.
-3, 0, 4
Let q(k) be the first derivative of -k**9/13608 + k**8/7560 + k**7/3780 - k**6/1620 - k**3/3 + 5*k - 39. Let w(s) be the third derivative of q(s). Factor w(x).
-2*x**2*(x - 1)**2*(x + 1)/9
Let z(t) be the first derivative of -2*t**5/45 + 233*t**4/18 - 926*t**3/27 + 77*t**2/3 + 722. Determine k, given that z(k) = 0.
0, 1, 231
Factor 99*j**3 + 1134 + 798*j**2 + 3*j**4 + 1141*j - 1731 + 335*j - 1779.
3*(j - 1)*(j + 6)**2*(j + 22)
Let u(z) be the second derivative of 23/6*z**2 - 1/90*z**6 - 9*z + 7 - 2/5*z**5 + 4/3*z**3 - 11/18*z**4. Factor u(k).
-(k - 1)*(k + 1)**2*(k + 23)/3
Let z = -136 - -139. Factor -39*a**3 + 16*a**3 - 3*a**2 - a**2 + 19*a**z.
-4*a**2*(a + 1)
Factor 29 - 26*w**3 + 2*w + 23*w**3 + 9*w**2 + 37*w - 74.
-3*(w - 5)*(w - 1)*(w + 3)
Let x(y) be the first derivative of -y**6/4 - 459*y**5/10 - 18669*y**4/8 - 28419*y**3/2 - 29082*y**2 - 24642*y + 2569. What is h in x(h) = 0?
-74, -3, -1
Let c(z) be the second derivative of -z**5/40 - 317*z**4/24 - 6320*z**3/3 - 6241*z**2 + 1319*z. Suppose c(j) = 0. Calculate j.
-158, -1
Let w be (-1105804)/2190 + ((-2)/(-15))/1. Let v = -504 - w. Solve -8/5*a**4 + 0*a + 4/5*a**5 + v*a**3 + 0*a**2 + 0 = 0 for a.
0, 1
Let f be 6/(-9)*(-27)/(-3). Let t = f + 15. Factor -2*p**4 + p - 2*p**3 - 10*p + t*p + 4*p**2.
-2*p**2*(p - 1)*(p + 2)
Let q = 319/20 + -623/40. Let x(y) be the first derivative of 9/8*y**2 + 9/20*y**5 - q*y**4 - 1/2*y**3 - 1/8*y**6 - 3/4*y - 13. What is z in x(z) = 0?
-1, 1
Let m(i) be the third derivative of 1/6*i**4 + 1/60*i**5 + 0*i + 34 + 1/2*i**3 + i**2. Factor m(p).
(p + 1)*(p + 3)
Let w be (360/(-1008))/(24/(-252)). What is a in w*a**3 - 3/2 + 27/4*a - 9*a**2 = 0?
2/5, 1
Let g = -1384 + 2359. Let h = -2915/3 + g. Factor 6 + h*f**2 + 12*f.
2*(f + 3)*(5*f + 3)/3
Let o(z) be the first derivative of -z**4/4 - 7*z**3/3 - 5*z**2/2 + 9*z + 32. Let d be o(-6). Factor 4*p**4 - 10*p**3 + 8*p + 2*p**2 - 6*p**2 + 2*p**d.
4*p*(p - 2)*(p - 1)*(p + 1)
Suppose 0 - 5/2*i**3 - 160*i**2 - 315/2*i = 0. What is i?
-63, -1, 0
Suppose 5*g - 6122 = -1237. Factor -g*l**4 - 4*l**3 - 4 + 12 + 4*l - 12*l**2 + 981*l**4.
4*(l - 2)*(l - 1)*(l + 1)**2
Let p(w) be the second derivative of w**4/84 + 11*w**3/14 - 117*w**2/7 + 1403*w. Factor p(k).
(k - 6)*(k + 39)/7
Let q(w) = 7*w**3 - 34*w**2 - 6*w + 7. Let m be q(5). Let c(i) be the first derivative of 1/5*i**3 - 10 - 3/10*i**m - 6/5*i. Suppose c(n) = 0. Calculate n.
-1, 2
Let w(u) = -u**2 - 168*u - 2432. Let d be w(-152). Let c(r) be the third derivative of 4*r**2 - 1/6*r**4 + d - 4*r**3 + 1/15*r**5 + 0*r. Factor c(p).
4*(p - 3)*(p + 2)
Let m(h) = -h**2 - 20*h + 69. Let q be m(-23). Let x be 3 + -3 + q + -5 + 5. Factor x - 1/5*d + 1/5*d**2.
d*(d - 1)/5
Suppose -15*u + 8*u + 322 = 0. Factor -u*d**2 + 60 + 301*d + 11*d**2 - 101*d.
-5*(d - 6)*(7*d + 2)
Let f be (60/(-40) + -2)*24/(-105). What is a in 13/5*a - f - 3/5*a**2 = 0?
1/3, 4
Let g(l) = -4*l**2 + 70*l + 19. Let w be g(17). Suppose -w*c = -54*c. Factor c - z - 54/5*z**3 + 29/5*z**2 + 8/5*z**5 + 28/5*z**4.
z*(z + 5)*(2*z - 1)**3/5
Let z(k) be the second derivative of k**5/20 + 7*k**4/2 - 139*k**3/6 - 90*k**2 - 3*k + 1687. Factor z(v).
(v - 4)*(v + 1)*(v + 45)
Let x(r) = 24*r**2 - 33734*r + 28425932. Let j(s) = 5*s**2 - 6747*s + 5685186. Let i(d) = 28*j(d) - 6*x(d). What is h in i(h) = 0?
1686
Suppose -4*s = -9*s. Suppose 5*h + 25 = 0, 5*o - 10*h + 12*h = s. Factor 7*c**2 - 9*c**3 + 8*c**o - 17*c + 17*c.
-3*c**2*(3*c - 5)
Determine u, given that 4632*u**2 + 768 - 569*u - 2791*u - 957*u**2 = 0.
16/35
Let c(s) be the third derivative of 0 + 84*s**2 + 11/135*s**5 + 0*s + 32/27*s**3 + 13/27*s**4 + 1/270*s**6. Factor c(l).
4*(l + 1)*(l + 2)*(l + 8)/9
Let i be (0 + 3)/(6/4). Let w = -4/2267 + 2279/6801. Factor h**i - w*h + 1/3*h**4 - h**3 + 0.
h*(h - 1)**3/3
Let b be (30/(-4))/(2/(-12))*-1. Let g be 18/(-24)*20/b. Find h such that 2/3*h + 1/3*h**2 + g = 0.
-1
Let v(p) be the first derivative of -p**4/4 - 6*p**3 + 39*p**2/2 - 20*p - 2092. Factor v(b).
-(b - 1)**2*(b + 20)
Factor -298/9*j - 20/9*j**2 + 10/3.
-2*(j + 15)*(10*j - 1)/9
Factor 116/5*i - 118/5 + 2/5*i**2.
2*(i - 1)*(i + 59)/5
Let n(i) = -2*i**4 + i**2 - 4*i + 1. Let k(r) = -15*r**4 - 74*r**3 + 5*r**2 + 188*r + 156. Let c(s) = -3*k(s) + 24*n(s). Factor c(z).
-3*(z - 74)*(z - 2)*(z + 1)**2
Let d be 4 - (6 + 162/(-2)). Factor d - 41 - 9*a + a**3 + 3*a**2 - 33.
(a - 1)**2*(a + 5)
Let j = -1 - 1. Let y be (j/(-4))/((6/(-3))/(-36)). Factor -8*o**2 - y*o**2 + 10*o + 22*o**2.
5*o*(o + 2)
Let j be 1316/190 - (-112)/70. Let u = j - 982/133. Factor -u*t + 12/7*t**2 - 4/7*t**3 + 0.
-4*t*(t - 2)*(t - 1)/7
Let a(k) = -24*k**2 - 541*k - 63. Let d(t) = 13*t**2 + 272*t + 36. Let u(j) = 4*a(j) + 7*d(j). Find y, given that u(y) = 0.
-52, 0
Let l(v) be the third derivative of 0*v + 1/40*v**5 + 0 - 67*v**2 + 256*v**3 - 4*v**4. Find o, given that l(o) = 0.
32
Let s be (2 + 20/(-12))*3735/(-6). Let j = 208 + s. Suppose 9/2*d + j*d**3 + 0 + 3*d**2 = 0. What is d?
-3, 0
Suppose -756 = -4*f - 10*f. Factor -6*n**4 + 5*n**4 + 62*n**2 - f*n**2 + 7*n**3.
-n**2*(n - 8)*(n + 1)
Suppose 123*a - 9273 + 8373 = -181*a + 4*a. Find c, given that -25/4*c**a + 25/4*c - 35/4*c**2 + 5/4*c**4 + 