ond derivative of -m**7/21 - 7*m**6/6 - 58*m**5/5 - 359*m**4/6 - 169*m**3 - 495*m**2/2 + 13*m - 43. Determine a so that l(a) = 0.
-11/2, -5, -3, -1
Factor 8/5*a - 2/5*a**3 + 43/5*a**2 - 336/5 - 1/5*a**4.
-(a - 4)**2*(a + 3)*(a + 7)/5
Let u(x) = 13*x**2 - 2488*x + 307516. Let t(l) = 37*l**2 - 7462*l + 922549. Let d(q) = -4*t(q) + 11*u(q). Let d(y) = 0. What is y?
248
Solve 1/5*h**3 + 0 + 16/5*h**2 + 48/5*h = 0.
-12, -4, 0
Let o(w) = -10*w - 68. Let f be o(-7). Factor 4*j**4 + 24*j - 60*j + 44*j**2 - 19*j**3 + 16*j**2 - 9*j**3 + 0*j**f.
4*j*(j - 3)**2*(j - 1)
Suppose 0 = 5*r - 9*r + 5*t - 33, -32 = -3*t - 5. Solve 198/5 - r*n**2 + 489/5*n = 0.
-2/5, 33
Solve -118/5*m**2 - 248/5*m + 122/5*m**3 - 8/5 = 0.
-1, -2/61, 2
Let z(p) be the second derivative of 27/56*p**7 + 1/24*p**3 - 9/10*p**6 - 1/4*p**4 + 257*p + 0 + 27/40*p**5 + 0*p**2. Suppose z(j) = 0. Calculate j.
0, 1/3
Suppose 0 - 129/4*m + 1/4*m**2 = 0. What is m?
0, 129
Let b(y) be the second derivative of -3*y**5/140 - 13*y**4/14 - 59*y**3/14 + 345*y**2/7 + 115*y + 1. Solve b(d) = 0.
-23, -5, 2
Let o = -52923 + 52926. Factor 49 - 6*q**2 + 1/2*q**o + 21/2*q.
(q - 7)**2*(q + 2)/2
Let b(a) = -28*a - 176. Let l be b(-8). Suppose 0 = -7*u - 48 + l. Factor 0 + 6/11*r**2 + u*r.
6*r**2/11
Factor -2/3*j**3 + 0 + 208/3*j + 10/3*j**2.
-2*j*(j - 13)*(j + 8)/3
Let -3188646/7*u - 774840978/7 - 4374/7*u**2 - 2/7*u**3 = 0. What is u?
-729
Suppose 7079*u - 3390*u - 4721*u - 508*u**2 - 4*u**4 + 520*u**3 = 0. Calculate u.
-1, 0, 2, 129
Let c be (-6824)/5971*(185/(-6) - (3 - 3 - -3)). Determine z so that 16*z**3 + 0 - 4/3*z**4 + 24*z - c*z**2 = 0.
0, 1, 2, 9
Let h(q) be the first derivative of 13*q**7/2520 - q**6/540 - 13*q**5/90 + q**4/9 + 149*q**3/3 - 177. Let z(k) be the third derivative of h(k). Factor z(d).
(d - 2)*(d + 2)*(13*d - 2)/3
Let f(b) be the third derivative of -b**8/5040 - b**7/420 + b**6/18 - 29*b**5/15 - b**4/12 + 128*b**2. Let d(n) be the third derivative of f(n). Factor d(v).
-4*(v - 2)*(v + 5)
Let j = 103287/35 - 20642/7. What is u in 56/5*u**4 - 4/5*u**2 - 16/5*u**5 + j*u - 49/5*u**3 + 2/5 = 0?
-1/4, 1, 2
Suppose 4*q - 3396 = 4*l, 2*l + 4*q - 3*q + 1692 = 0. Let u be (-231)/l*(-4)/(-6). Find m, given that 8/11 - 8/11*m - 6/11*m**2 + 8/11*m**3 - u*m**4 = 0.
-1, 1, 2
Find d, given that -1/6*d**4 + 14/3*d**3 - 133/3*d - 59/2*d**2 + 208/3 = 0.
-2, 1, 13, 16
Let z(d) be the third derivative of -d**7/525 - d**6/60 + 7*d**5/150 + d**4/12 - 2*d**3/5 + 294*d**2 - 3*d - 1. Suppose z(y) = 0. Calculate y.
-6, -1, 1
Suppose -57*z + 650 - 479 = 0. Let t(w) be the third derivative of -1/30*w**5 - 1/240*w**6 + 0*w + 0*w**z - 27*w**2 + 0 + 5/48*w**4. Let t(k) = 0. Calculate k.
-5, 0, 1
Factor 19/3*o**2 - 16/3*o - 1/3*o**3 - 12.
-(o - 18)*(o - 2)*(o + 1)/3
Let n(h) be the first derivative of 2*h**5/5 + 49*h**4/2 + 416*h**3 + 576*h**2 + 402. Determine i so that n(i) = 0.
-24, -1, 0
Let v = 13 + -5. Let y be 1/2*v + 1. Let 6*g**5 - 14*g**3 + 4*g**y + 6*g**2 + 19*g - 6*g**4 - 15*g = 0. Calculate g.
-1, -2/5, 0, 1
Let u(b) be the first derivative of -b**7/280 + 59*b**6/120 - 21*b**5 - 225*b**4/2 + 7*b**3/3 + b - 73. Let o(l) be the third derivative of u(l). Factor o(n).
-3*(n - 30)**2*(n + 1)
Suppose 4*u - 3*z = -u + 27, -3*z + 3 = 5*u. Factor t**2 - t**2 - 689*t + u*t**3 + 81 - 9*t**2 + 662*t.
3*(t - 3)**2*(t + 3)
Let m(r) be the second derivative of r**6/105 + 9*r**5/70 + 19*r**4/42 - 3*r**3/7 - 20*r**2/7 + 2409*r. Let m(d) = 0. What is d?
-5, -4, -1, 1
Let n(o) = -3*o + 4*o + 6*o + 5*o - 2*o + 52. Let g be n(-5). Factor -3/5*p + 3/5*p**g - 6/5.
3*(p - 2)*(p + 1)/5
Let u(n) be the second derivative of -n**7/189 + n**6/27 - n**5/90 - 13*n**4/54 + 2*n**3/27 + 8*n**2/9 + 187*n. Suppose u(v) = 0. Calculate v.
-1, 1, 2, 4
Let l = 198 + -216. Let o(x) = -x**2 - 13*x + 90. Let t be o(l). Suppose 2/5*a**2 + 4/5*a**3 + t + 2/5*a**4 + 0*a = 0. What is a?
-1, 0
Solve 22/5*o**4 + 114/5*o**3 + 2/5*o**2 + 0 - 18*o = 0 for o.
-5, -1, 0, 9/11
Let t(h) be the second derivative of h**7/42 + 559*h**6/15 + 313597*h**5/20 + 51987*h**4 + 51894*h**3 + 237*h + 2. Factor t(n).
n*(n + 1)**2*(n + 558)**2
Let y(f) be the third derivative of 25*f**8/1176 - 187*f**7/147 + 3043*f**6/210 + 4982*f**5/21 + 5618*f**4/7 - 1148*f**2. Find i, given that y(i) = 0.
-3, -2, 0, 106/5
Let z be (2/6*-2)/((-262)/1179). Let i(m) be the second derivative of 7/12*m**z - 49/8*m**2 + 3*m - 1/48*m**4 + 0. Factor i(q).
-(q - 7)**2/4
Let r(o) be the first derivative of o**6/12 + 7*o**5/10 - 13*o**4/8 - 43*o**3/6 - 6*o**2 + 232. Factor r(k).
k*(k - 3)*(k + 1)**2*(k + 8)/2
Factor -12507 - 285*q + 268*q - q**2 - 257893 - 244*q - 779*q.
-(q + 520)**2
Let d(r) be the second derivative of -5*r**4/4 + 3*r**3 - 3*r**2/2 + 23*r + 14. Factor d(h).
-3*(h - 1)*(5*h - 1)
Let v = -327601 - -327604. Factor -6/11*i**v - 18/11*i**4 + 10/11*i**2 + 0 - 2/11*i.
-2*i*(i + 1)*(3*i - 1)**2/11
Let t = -32187709/76 - -423514. Let f = -90/19 - t. Factor -1/2 - f*b**3 - 37/8*b**2 - 9/8*b**4 - 5/2*b.
-(b + 1)**2*(3*b + 2)**2/8
Find o, given that 36*o**3 + 0*o**5 - 60*o - 12*o**3 + 4*o**4 - 34*o**2 - o**5 + 72 - 5*o**3 = 0.
-3, -2, 1, 2, 6
Factor h**4 + 1376*h**2 - 3*h**4 + 75824*h**3 - 75878*h**3.
-2*h**2*(h - 16)*(h + 43)
Let v(l) be the third derivative of 0*l**4 + 0*l + 1/630*l**7 + 1/60*l**5 + 0*l**3 + 1/72*l**6 - 40*l**2 + 0 - 1/1008*l**8. What is x in v(x) = 0?
-1, 0, 3
Let w = 115268 + -2420626/21. Solve -68/21*x + 578/21 + w*x**2 = 0 for x.
17
Suppose w + 3*w + 4400 = -5*f, -3*w = 0. Let j = f - -885. Factor -14/3*g**3 + 0*g + 22/3*g**4 - 10/3*g**j + 2/3*g**2 + 0.
-2*g**2*(g - 1)**2*(5*g - 1)/3
Factor -2*f - 4*f**2 - 8*f - 9*f + f + 24 - 4*f + 2*f**3.
2*(f - 4)*(f - 1)*(f + 3)
Let n(y) = y**2 - 3*y + 16. Let x be n(7). Let w = x - 41. Factor w*g - 2*g**4 + 4*g + 11*g**3 - 19*g**2 + 2*g + g**4.
-g*(g - 9)*(g - 1)**2
Let j = 6563 + -39377/6. Let l(t) be the third derivative of -1/20*t**5 - 1/8*t**4 - j*t**3 - 1/120*t**6 + 0 - t**2 + 0*t. Factor l(p).
-(p + 1)**3
Let k be ((-5830)/140 - -42)/(20/14). Let o(m) be the first derivative of -10 + 3/4*m**5 + 3/2*m**4 + 0*m + k*m**3 - 3/4*m**2. Solve o(q) = 0.
-1, 0, 2/5
Let y(d) be the first derivative of -3*d**4/28 + 8982*d**3/7 - 40338162*d**2/7 + 80514971352*d/7 + 9551. Factor y(i).
-3*(i - 2994)**3/7
Let z(n) = -n**2 - n + 1. Let d = -119 - -123. Suppose 0 = b + 5*j + 21, 5*b + 5 = d*b - j. Let p(s) = -20*s - 2. Let u(l) = b*p(l) - 2*z(l). Factor u(i).
2*i*(i + 11)
Let d be (16/(-24))/2 - 2751/90. Let x = d - -63/2. Find f, given that 3/5 + x*f**2 + 2*f = 0.
-3, -1/3
Let c(g) = 6*g + 18. Let v be c(-5). Let i be (-46)/v + 3/18. Factor -10*f + 7*f**3 - 7*f**4 - 4*f**i + 6*f**4 + 3*f**3 + 5.
-5*(f - 1)**3*(f + 1)
Let q(a) be the third derivative of a**5/600 + 89*a**4/4 + 118815*a**3 - 10571*a**2. Suppose q(g) = 0. What is g?
-2670
Let f(a) = -a - 2. Let z be f(-11). Let k = z + -6. Factor 5*r**2 + 4*r - 3*r**2 - 5*r + k*r.
2*r*(r + 1)
Let n(p) be the first derivative of -p**6/540 + 2*p**5/135 - 3*p**2/2 - 6*p - 55. Let q(o) be the second derivative of n(o). Factor q(l).
-2*l**2*(l - 4)/9
Factor 300/13*a - 2/13*a**2 + 1232/13.
-2*(a - 154)*(a + 4)/13
Solve 1192/3*l**2 - 2/3*l**3 - 240000 - 58400*l = 0.
-4, 300
Let w be 14101/150 + 23/(-46). Let a = 281/3 - w. Factor -2/5*b**2 + 2/25*b**4 + 0 - 2/25*b**5 + 6/25*b**3 + a*b.
-2*b*(b - 1)**3*(b + 2)/25
Determine b so that 317*b - 110*b**2 + 2*b**3 + 113*b - 22*b = 0.
0, 4, 51
Let g(z) be the first derivative of 13 + 0*z**3 + 6*z - 1/4*z**4 + 0*z**2 - 3/20*z**5. Let u(x) be the first derivative of g(x). Find c, given that u(c) = 0.
-1, 0
Let c(w) be the third derivative of -w**7/945 + 13*w**6/270 + 319*w**2. What is p in c(p) = 0?
0, 26
Suppose 9*l - 2141 = -107. Let v = l - 226. Suppose -2/9*j**2 + 2/3*j + v = 0. Calculate j.
0, 3
Suppose 0 = 38*v + 21 - 99 - 112. Find i such that 9/8*i**4 + 0*i - 3/8*i**v + 3/2 + 3/8*i**3 - 21/8*i**2 = 0.
-1, 1, 2
Suppose -105*t - 845 = -1055. Factor 0 + 3/7*v**3 - 30/7*v**t - 72/7*v.
3*v*(v - 12)*(v + 2)/7
Let s(w) be the third derivative of -26*w**2 - 1/900*w**6 + 0*w - 13/3*w**3 + 0 + 7/75*w**5 - 49/15*w**4. Let k(q) be the first derivative of s(q). Factor k(u).
-2*(u - 14)**2/5
Let o(s) = 2*s**3 - 6*s**2 - 60*s. Suppose 0 = -t - 3, 3*g + 4*t + 8 = g.