ond derivative of 0 - 27/7*i**2 - 4/105*i**6 + 17/70*i**5 - 15/7*i**3 + 1/14*i**4 - 102*i. Find r such that q(r) = 0.
-1, -3/4, 3
Factor 617 + 253 + 584*w**2 + 270*w**2 - 226 + 2*w**4 + 588 + 186*w**3 - 2274*w.
2*(w - 1)**2*(w + 7)*(w + 88)
Let p(s) be the first derivative of 2*s**3/57 - 46*s**2/19 - 460. Factor p(l).
2*l*(l - 46)/19
Let n = -1630928 + 9785573/6. Factor 1 + 11/3*h**2 - n*h**3 - 23/6*h.
-(h - 3)*(h - 1)*(5*h - 2)/6
Let 81/5*f**3 + 28/5 + 1161/5*f**2 + 76*f = 0. What is f?
-14, -2/9, -1/9
Let i(o) be the third derivative of -o**3 - 2*o**2 - 1/120*o**6 + 5/24*o**4 + 13 + 0*o + 1/30*o**5. Factor i(m).
-(m - 3)*(m - 1)*(m + 2)
Let p be (3968/(-15872))/((-1)/116*5). Determine i so that 18/5 + 12/5*i**2 - p*i - 1/5*i**3 = 0.
1, 2, 9
Let 3329 - 2*u**5 - 1623 - 100*u**4 - 13*u**5 - 1656 + 36*u**2 + 14*u**2 + 135*u - 120*u**3 = 0. What is u?
-5, -1, -2/3, 1
Let k(y) = y - 1. Let t be k(3). Solve -10*d**2 + 36*d + 3*d**5 - 39*d**3 + 14*d**3 - 14*d**3 + 48 - 32*d**t - 6*d**2 = 0 for d.
-2, -1, 1, 4
Let i = -199 + 340. What is j in -24*j**4 - 5*j**5 - 21*j**2 + 34*j**2 - i*j**2 + 2*j**5 - 96*j**3 + j**5 = 0?
-4, 0
Suppose -15*t + 29 = 74. Let c(o) = -3*o**4 - 7*o**3 + 3*o + 3. Let n(d) = 8*d**4 + 22*d**3 - 10*d - 10. Let b(r) = t*n(r) - 10*c(r). Let b(j) = 0. Calculate j.
-2/3, 0
Suppose -68*f = 131 - 1491. Let o be (-6 + 472/80)*f/(-16). Factor 1/8*n**5 - 1/8*n**4 + o*n**2 + 1/2 - 5/8*n**3 + n.
(n - 2)**2*(n + 1)**3/8
Let p(v) be the first derivative of v**5/30 + 1829*v**4/24 + 61915*v**3 + 56466175*v**2/3 - 113490500*v/3 + 5222. Factor p(k).
(k - 1)*(k + 610)**3/6
Suppose -10*z + 8 = -6*z. Factor -b**5 - z*b**4 + 2247*b**2 + b - 2245*b**2 + 0*b**4.
-b*(b - 1)*(b + 1)**3
Let y(q) = -q**3 - 13*q**2 + 7*q - 78. Let z be y(-14). Suppose -14 = 3*s - z. Factor 5/3*i - 5/3*i**s + 0.
-5*i*(i - 1)/3
Suppose -37 = -5*u + 3*a, -11*a = -2*u - 16*a - 41. Determine d, given that -2/3*d**u + 2*d + 8/3 = 0.
-1, 4
Suppose 0 = 5*j + z + 25, 4*z - 55 = 4*j - 11. Let a be ((-8)/j)/(2*(-1)/(-3)). Factor -6*g**a + 2*g**2 - 5*g**2 + 8*g**2.
-g**2
Let f(a) be the second derivative of -a**5/60 + 65*a**4/36 - 359*a**3/18 + 295*a**2/6 + 11527*a. Suppose f(w) = 0. Calculate w.
1, 5, 59
Let z(q) be the third derivative of 0 - 31/12*q**4 + 260*q**2 + 961/6*q**3 + 1/60*q**5 + 0*q. Factor z(a).
(a - 31)**2
Let p(f) be the third derivative of f**6/180 - f**5/9 + 7*f**4/36 + 2*f**3 - 786*f**2. Factor p(g).
2*(g - 9)*(g - 2)*(g + 1)/3
Let d(h) be the third derivative of h**8/588 - 8*h**7/147 - h**6/42 + 20*h**5/21 + 2*h**4/21 - 160*h**3/21 - 5032*h**2. Find k, given that d(k) = 0.
-2, -1, 1, 2, 20
Let o(q) be the first derivative of 11*q**6/9 + 59*q**5/15 + 9*q**4/2 + 19*q**3/9 + q**2/3 - 5883. Suppose o(t) = 0. Calculate t.
-1, -1/2, -2/11, 0
Let r(a) be the first derivative of -a**6/8 - 33*a**5/20 - 123*a**4/16 - 49*a**3/4 + 45*a**2/4 + 54*a + 3317. Solve r(k) = 0 for k.
-4, -3, -2, 1
Let k(i) = i**2 + 2*i - 6. Let a be k(-4). Suppose -4 = 3*q + 3*j - 10, a*j - 16 = -4*q. Factor -o - 3*o**2 + q*o**2 + o + 3*o.
3*o*(o + 1)
Let i be ((-4)/(-50))/((-550)/125 + 14). Let x(u) be the third derivative of 1/300*u**5 + i*u**4 + 0 + 0*u + 0*u**3 + 2*u**2. Solve x(q) = 0.
-1, 0
Find h such that -9/2*h**2 - 1/2*h**4 - 67/2*h - 21 + 15/2*h**3 = 0.
-1, 3, 14
Let z(c) be the second derivative of c**5/20 - 761*c**4/6 + 290320*c**3/3 - 577600*c**2 - 12573*c. Factor z(o).
(o - 760)**2*(o - 2)
Suppose -682*y + 4410*y**4 - 160 - 31205*y**2 + 4426*y + 5076*y**2 + 465*y**2 + 41496*y**3 = 0. What is y?
-10, 2/21, 2/5
Let k(j) be the first derivative of j**6/150 + j**5/20 - 170*j + 228. Let l(w) be the first derivative of k(w). Factor l(s).
s**3*(s + 5)/5
Let o(u) be the first derivative of -u**4/38 - 134*u**3/57 - 188*u**2/19 + 512*u/19 + 11043. Factor o(v).
-2*(v - 1)*(v + 4)*(v + 64)/19
Let f = 1868881/659622 + 8/109937. Determine p so that 1/12*p**3 - 2 - 3/4*p**2 - f*p = 0.
-2, -1, 12
Let -30*f**4 + 6*f**4 + 24*f**2 + 345*f**5 + 24*f**3 - 331*f**5 + 8*f - 46*f**3 = 0. What is f?
-1, -2/7, 0, 1, 2
Let v be (-403)/(-208) - (-42)/(-140)*15/(-72). Factor 2/11*g**3 - 34/11*g**v + 126/11*g + 162/11.
2*(g - 9)**2*(g + 1)/11
Let x(y) be the second derivative of -y**7/105 + 43*y**6/75 - 199*y**5/50 + 349*y**4/30 - 268*y**3/15 + 76*y**2/5 - 3280*y + 1. Determine c so that x(c) = 0.
1, 2, 38
Let d(y) be the third derivative of y**5/90 - 175*y**4/18 + 30625*y**3/9 + 540*y**2. Factor d(c).
2*(c - 175)**2/3
Suppose -4*m**3 - 22 - 148/3*m + 2/3*m**4 - 32*m**2 = 0. Calculate m.
-3, -1, 11
Let b be 100/(-16)*(-11 + (-273)/(-39)). Suppose 55/4*a**2 - b + 5/4*a**3 + 10*a = 0. Calculate a.
-10, -2, 1
Solve -136 - 108*y**2 + 42*y**4 + 60*y**3 - 48*y**2 - 25*y**4 + 88 + 148*y - 21*y**4 = 0 for y.
1, 12
Let c(l) be the first derivative of 2*l**5/5 + 72*l**4 + 10076*l**3/3 - 10512*l**2 + 10658*l + 847. Find g, given that c(g) = 0.
-73, 1
Let r(l) be the second derivative of 1/27*l**4 + 19*l + 0 - 2/27*l**3 - 31/2*l**2 - 1/180*l**5. Let c(p) be the first derivative of r(p). Solve c(x) = 0 for x.
2/3, 2
Let r(t) be the third derivative of 4*t**3 + 2*t**2 - 85*t - 1/60*t**5 + 0 + 5/12*t**4. Factor r(w).
-(w - 12)*(w + 2)
Let v(h) be the third derivative of 0 + 1/3*h**3 - 5*h**2 + 1/8*h**4 - 1/140*h**7 - 1/1344*h**8 - 11/480*h**6 - 1/120*h**5 - 2*h. Factor v(u).
-(u - 1)*(u + 1)*(u + 2)**3/4
Let k(q) be the first derivative of -21/4*q**5 + 225/16*q**4 - 115/12*q**3 + 0*q**2 + 0*q - 5/24*q**6 - 37. Suppose k(m) = 0. What is m?
-23, 0, 1
Let f(m) be the first derivative of m**6/3 - 4*m**5 + 33*m**4/2 - 80*m**3/3 + 16*m**2 - 3899. Factor f(u).
2*u*(u - 4)**2*(u - 1)**2
Suppose 2*s + 4*t = 214, -s - 7*t + 128 = -12*t. What is g in 6*g**5 - 80*g**3 - s*g**3 + 27*g**4 + 223*g**3 + 9*g**2 = 0?
-3, -1, -1/2, 0
Let x(l) be the third derivative of -l**5/60 - 41*l**4/6 + 166*l**3/3 - 6*l**2 + 5. Factor x(g).
-(g - 2)*(g + 166)
Suppose 2*k + 3*k - 10 = 0. Let z be 2 + (970/(-300) - 24/(-16)). Factor z + 2/5*c + 2/15*c**k.
2*(c + 1)*(c + 2)/15
Let i(j) be the third derivative of -j**5/15 + 84*j**4 + 1010*j**3/3 + 3*j**2 + 2*j - 473. Factor i(s).
-4*(s - 505)*(s + 1)
Suppose -2/3*w**5 - 16/3 - 10/3*w**4 - 2/3*w**3 + 26/3*w**2 + 4/3*w = 0. What is w?
-4, -2, -1, 1
Let 3/7*d**5 - 69/7*d**4 + 519/7*d**3 - 1299/7*d**2 + 54/7*d + 1944/7 = 0. Calculate d.
-1, 2, 4, 9
Let k(l) be the first derivative of 2*l**5/25 - 253*l**4/10 + 10752*l**3/5 - 15876*l**2/5 - 1342. Factor k(u).
2*u*(u - 126)**2*(u - 1)/5
Let s(c) be the second derivative of c**6/45 - 35*c**5/3 + 30625*c**4/18 + 365*c. Find g such that s(g) = 0.
0, 175
Suppose 581 = 2*s - d, -2*s + s + 5*d + 277 = 0. Suppose -s + 87 = -41*l. What is f in -2/7*f**4 + 0*f + 2/7*f**2 - 2/7*f**3 + 2/7*f**l + 0 = 0?
-1, 0, 1
Let q = -50 - -52. Let 147*l**2 + 15 + 35*l**4 - 5*l - 69*l**3 - 21*l**3 - 5*l**5 - 60*l - 37*l**q = 0. Calculate l.
1, 3
What is o in -196*o**2 + 2/9*o**5 + 0 + 0*o - 88/9*o**4 + 350/3*o**3 = 0?
0, 2, 21
Suppose 0 = -2*n - 3*d + 729, -n = -91*d + 63*d - 748. Solve -3072 - 16*t**2 - 2/9*t**3 - n*t = 0.
-24
Let p(g) be the first derivative of g**4 - 96 - 4*g**2 + 12*g**3 + 25*g**2 - 11*g + 55*g - 63*g**2. Factor p(r).
4*(r - 1)**2*(r + 11)
Factor -46 + 136/3*q + 2/3*q**2.
2*(q - 1)*(q + 69)/3
Let -426*r**3 - 40*r**2 + 87*r**3 + 129*r**4 + 139*r**2 + 3380*r**5 - 3389*r**5 = 0. Calculate r.
0, 1/3, 3, 11
Let n(v) be the second derivative of v**4/20 - 59*v**3/5 + 10443*v**2/10 + 2271*v. Determine s so that n(s) = 0.
59
Factor 10*h - 32*h**2 + 2635*h**4 - 2633*h**4 + 8*h + 6*h + 6*h**3 + 0*h**3.
2*h*(h - 2)*(h - 1)*(h + 6)
Suppose 550/17 + 2/17*d**2 + 120/17*d = 0. What is d?
-55, -5
Let r(q) be the second derivative of 0*q**2 - 1 - 7/18*q**4 - 21*q - 1/60*q**5 - 49/18*q**3. Determine i, given that r(i) = 0.
-7, 0
Suppose -13*h - 22 = -24*h. Solve -24*n + 0*n**h + n**2 - 7 + 3*n**3 + 7 + 5*n**2 = 0 for n.
-4, 0, 2
Let l(v) = -29*v**2 + 712*v + 2717. Let o(f) = 17*f**2 - 427*f - 1630. Let h(i) = -10*l(i) - 17*o(i). Factor h(b).
(b + 4)*(b + 135)
Let j(y) be the first derivative of -8*y**6/3 + 76*y**5/5 + 29*y**4 - 488*y**3/3 - 320*y**2 - 128*y - 1242. Let j(v) = 0. Calculate v.
-2, -1, -1/4, 4
Let i(n) = 3*n**3 - 16*n**2 + 8*n - 8. Let c be i(5). Let r be -1 + (-174)/(-21) 