 q(u) be the third derivative of u**5/270 + 13*u**4/108 - 14*u**3/27 - 214*u**2 + 2. Factor q(l).
2*(l - 1)*(l + 14)/9
Let t = 895 - 889. Let g(p) be the second derivative of 0*p**3 - 4/25*p**5 + 0*p**2 - 2/15*p**4 - 1/15*p**t + 0 - 1/105*p**7 + 29*p. Find u such that g(u) = 0.
-2, -1, 0
Let o be -2 + 5/(-4)*-4. Suppose 8*q - 11*q + o*t = -18, -2*q + 15 = -3*t. Factor -f + f - 12*f**3 + 2078*f**4 - q*f**2 - 2090*f**4.
-3*f**2*(2*f + 1)**2
Let v(o) be the second derivative of o**7/3 + 47*o**6/15 + 28*o**5/5 - 10*o**4/3 + 2*o - 149. Suppose v(m) = 0. Calculate m.
-5, -2, 0, 2/7
Let j(z) be the third derivative of -z**5/20 + 25*z**4/4 + 232*z**3 - 4073*z**2. Determine p, given that j(p) = 0.
-8, 58
What is a in -5184/5 + 12/5*a**4 + 198/5*a**3 - 712/5*a**2 - 936*a - 2/5*a**5 = 0?
-8, -2, 9
Let a be (8 - 0/2)/(16/32). Determine v so that 3*v**3 + 8 - 6*v**2 - 26*v + a + 14*v = 0.
-2, 2
Let b(m) be the first derivative of -m**5/30 - 4*m**4/3 + m**2 + 9*m - 97. Let h(y) be the second derivative of b(y). Factor h(f).
-2*f*(f + 16)
Factor 382*n**2 + 20*n**3 - 304*n**2 - 78*n**2 + 35*n**4 + 15*n**5.
5*n**3*(n + 1)*(3*n + 4)
Factor -846*j**4 + 1079*j + 421*j**4 + 424*j**4 - 278*j - 117*j**3 - 223*j**2 - 460.
-(j - 1)**2*(j + 4)*(j + 115)
Let v = 3281 + -3281. Let o(f) be the third derivative of 0*f**3 - 6*f**2 - 1/360*f**6 + 1/180*f**5 + 0*f**4 + v + 0*f. Factor o(b).
-b**2*(b - 1)/3
Let d(s) be the first derivative of 3/14*s**4 - 2/7*s**2 + 2/35*s**5 - 2/21*s**3 + 0*s - 1/21*s**6 + 40. Determine i, given that d(i) = 0.
-1, 0, 1, 2
Let f(o) be the first derivative of o**4/24 + 37*o**3/9 - 665*o**2/3 + 3332*o + 4899. Factor f(q).
(q - 14)**2*(q + 102)/6
Let g = 1057 + -1057. Let n(r) be the first derivative of 4/9*r**3 - 1/6*r**4 + g*r - 1/3*r**2 + 1. What is m in n(m) = 0?
0, 1
Let s = 85794/7 - 85786/7. Determine i so that s*i**4 + 134/7*i**2 - 58/7*i**3 + 18/7 - 102/7*i = 0.
1/4, 1, 3
Let c(m) be the first derivative of m**2 + 62 - 3/8*m**4 - 1/10*m**5 + 0*m + 0*m**3. Determine d, given that c(d) = 0.
-2, 0, 1
Let k(c) be the third derivative of c**7/735 - 7*c**6/15 + 97*c**5/35 - 145*c**4/21 + 193*c**3/21 + 305*c**2 - c. Find x such that k(x) = 0.
1, 193
Let z(x) be the second derivative of -x**4/3 + 304*x**3 - 103968*x**2 - x + 125. Suppose z(n) = 0. Calculate n.
228
Let p(d) be the first derivative of -2*d**3/3 - 22*d**2 - 242*d - 2869. Factor p(w).
-2*(w + 11)**2
Let n(l) be the second derivative of 5*l**7/42 + 3*l**6 + 11*l**5 - 15*l**4/2 - 75*l**3/2 + 20*l - 108. Solve n(d) = 0 for d.
-15, -3, -1, 0, 1
Let h(r) be the second derivative of r**6/150 - 433*r**5/100 + 1044*r**4 - 508032*r**3/5 + 1492992*r**2/5 - 50*r + 14. Solve h(q) = 0.
1, 144
Let p(z) be the first derivative of z**5/40 + 19*z**4/48 + 3*z**3/8 - 14*z + 53. Let x(s) be the first derivative of p(s). Factor x(y).
y*(y + 9)*(2*y + 1)/4
Let f(m) = -9*m**3 + 2451*m**2 - 76822*m + 143978. Let t(d) = 2*d**3 - 490*d**2 + 15364*d - 28796. Let k(c) = 2*f(c) + 11*t(c). Find g, given that k(g) = 0.
2, 60
Let r be 1 - (31/3 + 10/(-30)). Let u(p) = -21*p**3 - 6*p**2 - 3*p. Let x(q) = -2*q**3 - q**2 - q. Let w(z) = r*x(z) + u(z). Suppose w(b) = 0. What is b?
-1, 0, 2
Let t(f) be the first derivative of -1/14*f**4 + 52/7*f**3 - 2028/7*f**2 + 35152/7*f - 272. Factor t(q).
-2*(q - 26)**3/7
Let f(n) be the second derivative of 1/192*n**4 + 5/2*n**2 - 7*n + 1/120*n**5 + 0*n**3 + 0. Let y(j) be the first derivative of f(j). Factor y(r).
r*(4*r + 1)/8
Factor -1/8*b**2 + 117/8*b - 29/2.
-(b - 116)*(b - 1)/8
Let f(y) be the second derivative of y**7/14 - y**6/10 - 81*y**5/20 + 77*y**4/4 - 37*y**3 + 36*y**2 + 9270*y. Solve f(a) = 0.
-6, 1, 4
Factor 142/5 + 2/5*r**3 - 282/5*r + 138/5*r**2.
2*(r - 1)**2*(r + 71)/5
Let u(j) be the first derivative of -j**6/18 - 8*j**5/15 - 5*j**4/4 + 800. Factor u(t).
-t**3*(t + 3)*(t + 5)/3
Let b(v) be the third derivative of v**6/60 - 7*v**5/6 + 61*v**4/4 - 87*v**3 - 5*v**2 - 2*v + 241. Determine z, given that b(z) = 0.
3, 29
Let h(m) be the first derivative of -5*m**6/2 + 381*m**5/5 + 60*m**4 - 52*m**3 - 1236. Let h(b) = 0. What is b?
-1, 0, 2/5, 26
Factor -5*o**5 - 573*o**3 + 46*o**4 - 484*o + 421*o**2 + 4*o**5 + 591*o**2.
-o*(o - 22)**2*(o - 1)**2
Let z(f) be the second derivative of -4/13*f**2 + 24 - 5/78*f**4 - 1/130*f**5 - 2*f - 8/39*f**3. Factor z(v).
-2*(v + 1)*(v + 2)**2/13
Let f(d) be the third derivative of -d**6/40 - 13*d**5/10 - 83*d**4/8 + 55*d**3 + d**2 + 523. Factor f(t).
-3*(t - 1)*(t + 5)*(t + 22)
Suppose -3*n**3 - 338*n**2 - 622*n**2 + 506 - 2408 - 2859*n = 0. Calculate n.
-317, -2, -1
Let l(o) be the second derivative of -o**5/50 - 119*o**4/30 + 488*o**3/15 - 492*o**2/5 - 2042*o. Determine k, given that l(k) = 0.
-123, 2
Let f(d) be the second derivative of 18*d**7/7 + 971*d**6/10 - 13479*d**5/20 + 35*d**4/2 + 124*d**3 + 15673*d. Find w such that f(w) = 0.
-31, -2/9, 0, 1/4, 4
Let c(u) be the third derivative of 2*u**2 - 1/15*u**5 - 1922/3*u**3 + 31/3*u**4 - 85*u + 0. Solve c(z) = 0.
31
Factor 2638/15*s**2 - 58080 + 2/15*s**3 + 57904*s.
2*(s - 1)*(s + 660)**2/15
Let g = 1 + 122. Let u = 127 - g. Factor 9 - 6*t**3 - 20*t**2 + 10*t + 5*t**u + 6 - 4*t**3 + 0*t**3.
5*(t - 3)*(t - 1)*(t + 1)**2
Let g = -437 - -456. Factor 7*i**4 - 3*i**4 + 0*i**2 - 4*i**2 - 19*i**3 + g*i**3.
4*i**2*(i - 1)*(i + 1)
Let d = 111512/5 - 22302. Let k(l) be the first derivative of 0*l**2 + 15 - 2/15*l**3 + d*l. Factor k(f).
-2*(f - 1)*(f + 1)/5
Factor 84*z + 137 - 101 + 352 + 289 + 2*z**2 + 43.
2*(z + 12)*(z + 30)
Let y(h) be the third derivative of h**8/16800 - h**7/6300 - h**6/1800 - 23*h**5/30 - 20*h**2. Let u(a) be the third derivative of y(a). Solve u(q) = 0 for q.
-1/3, 1
Let u be 30/(-4)*2376/(-30). Let a be ((-99)/u)/((-106)/(-112) + -1). Factor -98/9*q**2 - 2/9 - a*q.
-2*(7*q + 1)**2/9
Suppose 5*m - 25 = 5*f, -23 = -3*m - m + f. Suppose 0 = -m*h - 3 + 27. Determine d so that -h*d**2 + 5*d**3 + 4*d**3 - 7*d**3 = 0.
0, 2
Let w(o) be the first derivative of 17 + 4/3*o**3 + 28*o**2 - 128*o. Determine v, given that w(v) = 0.
-16, 2
Suppose -9*m - 44 = -4*a, -12 = 5*a - 4*m - 38. Suppose 5*y + 5*o + 15 = 2*y, 2*o + 6 = 3*y. Suppose 4/7*p**a + 4/7*p**3 + y*p + 0 = 0. What is p?
-1, 0
Let h = -210 - -214. Suppose -x - 15 = -5*r, -3*r = -0*r + h*x + 14. Determine d so that -33/4*d + 3/2 - 9/2*d**r = 0.
-2, 1/6
Let l(w) be the second derivative of -w**4/28 + w**3/14 + 3*w**2/7 + 5935*w. Factor l(j).
-3*(j - 2)*(j + 1)/7
Suppose 4*k = -s + 19, -3*s - 2*k = -3*k - 5. Suppose -3*q + y + 4 = -2*q, 3*y + s = 0. What is h in -1/5*h**2 + 18/5 - 1/5*h**4 - 21/5*h + h**q = 0?
-2, 1, 3
Let c(z) = 54*z - 49. Let o be c(5). Factor 264*v + 123*v**2 - 104 + 77*v - 28*v**3 - 73*v + o*v**2.
-4*(v - 13)*(v + 1)*(7*v - 2)
Suppose 1300*k + 3*a = 1305*k - 47, 5*k = 5*a + 65. Determine b so that 20/3*b**3 + 16*b**2 + 2/3*b**k + 14/3 + 44/3*b = 0.
-7, -1
Let y(n) be the first derivative of n**5/25 + 81*n**4/2 - 471. Find w, given that y(w) = 0.
-810, 0
Let l(h) be the first derivative of 3/2*h**4 + 2*h**2 + 3*h**3 + 0*h + 1/5*h**5 - 158. Solve l(w) = 0 for w.
-4, -1, 0
Let v(j) be the second derivative of -2*j**7/105 - 62*j**6/75 + 21*j**5/5 + 19*j**4/3 - 488*j**3/15 - 408*j**2/5 + 310*j. Let v(y) = 0. What is y?
-34, -1, 2, 3
Let c(r) be the third derivative of -r**6/30 + 129*r**5/5 + 4*r**2 - 230*r - 3. Factor c(s).
-4*s**2*(s - 387)
Let s(c) be the first derivative of -c**5/80 + c**4/16 + c**3/4 - c**2 + 227*c + 138. Let v(p) be the first derivative of s(p). Factor v(f).
-(f - 4)*(f - 1)*(f + 2)/4
Let l(c) = -6*c**2 - 5*c + c**2 - 2*c**2 + 6*c**2 + 19. Let o be l(-7). Solve o*d**3 - d**3 + 2*d**5 + 3*d - 4*d**5 - 5*d = 0 for d.
-1, 0, 1
Let y(r) be the third derivative of -2/15*r**3 + 1 + 1/150*r**5 + 0*r + 1/525*r**7 - 24*r**2 + 1/100*r**6 - 1/20*r**4. Factor y(t).
2*(t - 1)*(t + 1)**2*(t + 2)/5
Let k(n) be the first derivative of 5*n**4/13 - 862*n**3/39 + 863*n**2/13 - 164*n/13 - 5525. Determine o, given that k(o) = 0.
1/10, 2, 41
Let k(t) be the second derivative of 3*t + 9/40*t**5 + 3/8*t**4 + 1/4*t**3 + 1/20*t**6 + 0*t**2 + 2. Find l, given that k(l) = 0.
-1, 0
Let 1860*v - 140703 + 10*v**2 - 16*v**2 + 573153 - 2*v**2 + 10*v**2 = 0. What is v?
-465
Find u, given that -u**4 + 1/4*u**5 + 0*u -