e the first derivative of d**4/72 - 4*d**3/9 + 66*d + 165. Let g(h) be the first derivative of y(h). Factor g(o).
o*(o - 16)/6
Let p = -381 + 391. Find j such that -64*j + 209*j - 4*j**2 - 100*j - 3*j**3 + p*j**2 = 0.
-3, 0, 5
Let q(o) be the second derivative of -62*o + 0*o**2 + 0 - 8/51*o**4 - 8/255*o**6 + 0*o**3 - 1/357*o**7 - 2/17*o**5. Factor q(u).
-2*u**2*(u + 2)**2*(u + 4)/17
Let a = -267/13 + 4031/195. Let c(w) be the third derivative of a*w**7 - 4/5*w**5 + 3/10*w**6 - 2/3*w**4 + 0*w**3 + 0 - 3*w**2 + 0*w. Factor c(z).
4*z*(z - 1)*(z + 2)*(7*z + 2)
Let f(g) be the third derivative of -g**8/168 + 2*g**7/35 - g**6/10 - 2*g**5/3 + 13*g**4/4 - 6*g**3 + 2*g**2 + 2*g - 2278. Let f(h) = 0. Calculate h.
-2, 1, 3
Let p(m) be the third derivative of 1/20*m**5 + 0*m + 98*m**3 - 26 + 7/2*m**4 + m**2. Solve p(z) = 0.
-14
Let m be 779 - (-3 - (1 + 12/(-3))). Determine q, given that -1564*q + 4*q**3 + 785*q - 12*q**2 + m*q = 0.
0, 3
Factor -16/7*k**2 - 900/7 + 740/7*k.
-4*(k - 45)*(4*k - 5)/7
Let i(q) be the first derivative of 96*q**5/5 - 105*q**4 + 100*q**3 + 375*q**2/2 - 4057. Determine v, given that i(v) = 0.
-5/8, 0, 5/2
Let t = 2/1061029 - -7427199/2122058. Factor 1 - 5/2*a**3 + 9/2*a**2 + 1/2*a**4 - t*a.
(a - 2)*(a - 1)**3/2
Let k(z) be the first derivative of -27*z**3 + 234*z**2 - 676*z - 1149. Factor k(q).
-(9*q - 26)**2
Suppose 3*v + 54 = t + 67, t = -2*v - 3. Factor -3/5*x**v + 18/5 - 3/5*x.
-3*(x - 2)*(x + 3)/5
Let l = 880 + -877. Let k(q) be the second derivative of 1/15*q**4 + 1/15*q**l + 0 + 0*q**2 + q + 1/50*q**5. Let k(g) = 0. What is g?
-1, 0
Find v such that 4/7*v**2 + 84 + 592/7*v = 0.
-147, -1
Let r(y) = -18*y - 86. Let u be r(-5). Factor -13*x**2 - 11*x + 17*x - 35*x**3 + 18*x**2 - 3*x**4 - 2*x**u + 29*x.
-5*x*(x - 1)*(x + 1)*(x + 7)
Determine h, given that -334*h + 355216 + 2753*h**2 - 176*h - 1132*h - 2749*h**2 - 742*h = 0.
298
Let s = -276 - -274. Let z be 14/(-28)*-1*(s - -10). Find g, given that -112/3*g**2 + 32/9*g + 88*g**3 + 484/9*g**z + 0 = 0.
-2, 0, 2/11
Let y(b) be the first derivative of b**6/90 - 7*b**5/120 + b**4/12 + b**3/36 - b**2/6 + 90*b - 3. Let p(s) be the first derivative of y(s). Factor p(l).
(l - 2)*(l - 1)**2*(2*l + 1)/6
Suppose -7*w + 9*w = 2, 0 = 2*l - 3*w + 5. Let d be 75808/6489 - l/(-9). Factor -1/7*j**2 + 18/7*j - d.
-(j - 9)**2/7
Suppose -309 = 3*g + 15*w, w - 91 = -10*g - 92. Solve 686 + 2/7*o**g + 28*o = 0 for o.
-49
Factor 465/7 - 3/7*w**2 + 78/7*w.
-3*(w - 31)*(w + 5)/7
Suppose -50*u - 352*u = 412*u - 1628. Factor -1/7 + 0*g + 1/7*g**u.
(g - 1)*(g + 1)/7
Let l(p) = -23*p. Let f(u) = u**2 - 765*u - 858. Let h(a) = f(a) + 4*l(a). Solve h(o) = 0 for o.
-1, 858
Let v(m) be the third derivative of -1/945*m**7 + 0 - 2/9*m**4 - 3*m**2 + 20/27*m**3 + 1/90*m**6 - 1/270*m**5 + 9*m. Solve v(r) = 0.
-2, 1, 2, 5
Let s = 383 - 1531/4. Let r(b) be the first derivative of -9 + 1/12*b**3 + s*b - 1/4*b**2. Let r(d) = 0. What is d?
1
Let c(g) be the first derivative of 0*g + 0*g**5 - 3*g**4 + 16/3*g**3 + 1/3*g**6 - 3*g**2 - 87. Factor c(h).
2*h*(h - 1)**3*(h + 3)
Let l(m) be the first derivative of m**7/21 + 2*m**6/15 - 3*m**5/10 - 167*m + 88. Let v(u) be the first derivative of l(u). Factor v(g).
2*g**3*(g - 1)*(g + 3)
Factor -3314*o - 217640*o**3 + 6272 + 216880*o**3 - 6062*o - 4*o**4 + 4656*o**2.
-4*(o - 2)**3*(o + 196)
Determine l so that 7/4*l**3 - 17*l - 28 + 3*l**2 - 1/4*l**4 = 0.
-2, 4, 7
Let b(s) be the first derivative of -19 + 2/45*s**3 + 0*s + 1/15*s**2. Factor b(i).
2*i*(i + 1)/15
Let x(q) = -q**2 + 3*q - 4. Let l be x(-4). Let i = 35 + l. Let -i*g**2 - 26 + 3*g + 6*g**2 + 26 = 0. What is g?
-1, 0
What is y in -139825*y**2 - 66*y**4 - 2*y**5 + 4*y**5 + 186*y**3 + 60*y + 139643*y**2 + 0*y**5 = 0?
0, 1, 30
Let m(q) = 2*q**4 + 66*q**3 + 309*q**2 + 382*q + 141. Let k(z) = -2*z**4 - 67*z**3 - 309*z**2 - 384*z - 140. Let c(y) = 9*k(y) + 8*m(y). Factor c(w).
-(w + 2)**2*(w + 33)*(2*w + 1)
Factor -675/7 + 102/7*h - 3/7*h**2.
-3*(h - 25)*(h - 9)/7
Suppose -3*f = -9, -3*l + 5*f = -7 + 16. Factor 2511*c - 2*c**l - 1243*c - 1248*c - 48.
-2*(c - 6)*(c - 4)
Let r(w) be the third derivative of 3*w**8/280 + 37*w**7/350 - 9*w**6/20 - 4*w**5/25 + 40*w**2 + 6. Determine q so that r(q) = 0.
-8, -1/6, 0, 2
Let t(w) be the first derivative of -w**4 + 68*w**3/3 - 62*w**2 + 60*w + 2119. Factor t(h).
-4*(h - 15)*(h - 1)**2
Let x(s) be the second derivative of s**6/60 - 17*s**5/10 - 35*s**4/4 - 53*s**3/3 - 71*s**2/4 + 6*s - 70. Determine p, given that x(p) = 0.
-1, 71
Suppose -124 - r**3 - 1874*r + 104*r**2 + 3*r**3 + 20*r**2 + 1870*r + 2*r**3 = 0. What is r?
-31, -1, 1
Suppose h - n = 0, -3*h + 27*n = 57*n - 28*n. Let w(t) be the first derivative of 2/3*t**3 - 1/2*t**4 - 30 + h*t + 6*t**2. Factor w(m).
-2*m*(m - 3)*(m + 2)
Suppose -15129/2 - 1/2*o**2 - 123*o = 0. What is o?
-123
Let v(b) be the third derivative of -5/24*b**6 + 0*b - 51*b**2 - 26/5*b**5 + 25/24*b**4 + 0 - 1/420*b**7 + 625/12*b**3. Factor v(m).
-(m - 1)*(m + 1)*(m + 25)**2/2
Let v(u) be the first derivative of 37*u + 0*u**2 + 1/50*u**6 + 0*u**3 + 1/15*u**4 - 2/25*u**5 + 34. Let w(b) be the first derivative of v(b). Solve w(o) = 0.
0, 2/3, 2
Let u = 6/17 - 1/51. Suppose -68 = -6*n - 5*z - 160, 5*n + 2*z = -21 - 8. Factor 1/3*t + 0 + u*t**4 - 5/6*t**n + 1/6*t**2.
t*(t - 2)*(t - 1)*(2*t + 1)/6
Let s be (-3)/(-8)*(-44052)/18. Let j = -917 - s. Factor 0*q - j*q**3 + 9/4*q**2 - 3.
-3*(q - 2)**2*(q + 1)/4
Let w = 4255/6 - 707. Let r = -58929 + 58929. Find i such that 0*i + 6*i**2 - 1/6*i**5 - 8*i**3 + w*i**4 + r = 0.
0, 1, 6
Let n(y) = -9*y**2 + 79*y - 152. Let f be n(3). Determine d so that d**3 - 4/3*d + 0*d**2 + 1/3*d**f + 0 = 0.
-2, 0, 1
Factor 1 + 9820*z**2 - 9823*z**2 - z**5 - 2*z + 5*z**5 + 16*z**3 - 1 - 15*z**4.
z*(z - 2)*(z - 1)**2*(4*z + 1)
Factor 384*p**2 - 1147*p**2 + 379*p**2 - 418 + 382*p**2 + 60*p.
-2*(p - 19)*(p - 11)
Factor -362 - 598 + 4336*n**2 + 124*n - 4340*n**2.
-4*(n - 16)*(n - 15)
Let a be (-8)/7*((-2744)/(-84) + -35). Let y(d) be the first derivative of -a*d**2 - 1/2*d**4 - 22/9*d**3 + 8/3*d - 17. Let y(x) = 0. What is x?
-2, 1/3
Let y = 27/521 - -116/7815. Let m(s) be the third derivative of 1/30*s**6 + 0*s**3 + 0*s - y*s**5 + 14*s**2 + 0 + 0*s**4. Factor m(c).
4*c**2*(c - 1)
Suppose 4*s = 3*d - 612, 3*d = -s + d - 153. Let z = -68 - s. Find v, given that v**4 - 73*v**3 + z*v**3 + 27*v**4 = 0.
-3/7, 0
Let x(g) be the second derivative of -g**7/14 - 19*g**6/10 + 93*g**5/20 + 1651*g**4/4 + 1521*g**3 + 84*g + 5. Find p such that x(p) = 0.
-13, -2, 0, 9
Let l(v) = -4*v**3 + 7*v**2 + v - 5. Let o(w) = -3*w**3 + 6*w**2 + w - 4. Let p = 13 + -18. Let y be (-2)/(-4)*5/(5/8). Let z(x) = p*o(x) + y*l(x). Factor z(n).
-n*(n + 1)**2
Let z(h) be the first derivative of -3*h**4/2 + 52*h**3/3 - 37*h**2 + 28*h + 1206. Factor z(g).
-2*(g - 7)*(g - 1)*(3*g - 2)
Let w be (0/4)/(16 + (-21 - -8)). Factor w*y - 2/7*y**2 + 4/7*y**3 + 0 - 2/7*y**4.
-2*y**2*(y - 1)**2/7
Let d(v) = 9*v**2 + 45*v - 34. Let o be d(-16). Let b be (-26)/(442/(-51)) + o/6. Factor -8/3 + 32*i - 140*i**2 - 343/2*i**4 + b*i**3.
-(3*i - 2)*(7*i - 2)**3/6
Let c(k) = -k**2. Let d be (-168)/(-77) + 6/(-33). Let f(o) = -8*o + 1 + 6*o**2 - 7 - o**d - 12*o**2. Let r(p) = -5*c(p) + f(p). Suppose r(h) = 0. What is h?
-3, -1
Let x(p) be the second derivative of p**4/24 + 36*p**3 - 217*p**2 - 980*p - 2. Solve x(j) = 0 for j.
-434, 2
Let k(j) = -69*j - 1648. Let x be k(-24). Let m(g) be the first derivative of 14 + 4*g**2 - 2/3*g**3 - x*g. Factor m(f).
-2*(f - 2)**2
Suppose 2*n = 6*q + 2, -128*n + 130*n - 2 = -4*q. Find y such that 2/7*y**2 - 10/7*y + q = 0.
0, 5
Let t(f) be the first derivative of 8/3*f**3 + 16/5*f**5 - 5*f**4 + 12 - 2/3*f**6 + 0*f**2 + 0*f. Factor t(b).
-4*b**2*(b - 2)*(b - 1)**2
Let x(u) be the first derivative of 2*u**5/5 - 105*u**4 + 416*u**3/3 + 210*u**2 - 418*u - 1085. What is n in x(n) = 0?
-1, 1, 209
Let b(r) be the second derivative of -r**6/15 + 1001*r**5/10 - 1996*r**4/3 + 3988*r**3/3 + 1745*r. What is n in b(n) = 0?
0, 2, 997
Let l(p) be the third derivative of -p**6/120 - 5*p**5/12 + 651*p**2 - 1. Factor l(w).
-w**2*(w + 25)
Let l(f) be the third derivative of -74*f**2 + 0*f + 0 - 25/6*f**3 + 11/210*f**7 + 1/336*f**8 + 17/60*f**6 - 35/24*f**4 + 7/30*f**5. What is c in