vative of -n**7/945 + 7*n**6/10 - 882*n**5/5 + 18522*n**4 + 567*n**2. Find g, given that o(g) = 0.
0, 126
What is s in -1/2*s**2 - 160 - 18*s = 0?
-20, -16
Let j(c) be the first derivative of 6 + c**5 - 80/3*c**3 + 0*c**2 + 0*c + 0*c**4. Solve j(l) = 0 for l.
-4, 0, 4
Find n, given that 12*n - 25/2 + 1/2*n**2 = 0.
-25, 1
Let r(m) be the second derivative of 16/15*m**4 + 56/75*m**6 + 0 - 48/25*m**5 - 2/21*m**7 + 0*m**2 + 10*m + 32/15*m**3. Factor r(g).
-4*g*(g - 2)**3*(5*g + 2)/5
Let h(d) be the second derivative of -d**6/90 + 17*d**5/20 - 75*d**4/4 + 625*d**3/18 - 2*d + 48. Factor h(v).
-v*(v - 25)**2*(v - 1)/3
Solve -236/3 - 238/3*l - 2/3*l**2 = 0 for l.
-118, -1
Let j(r) be the third derivative of r**6/540 + r**5/15 + 133*r**3/6 + 2*r**2 + 3*r. Let x(d) be the first derivative of j(d). Determine c, given that x(c) = 0.
-12, 0
Factor -2/5*i**2 - 186/5*i - 364/5.
-2*(i + 2)*(i + 91)/5
Let d be (160/280)/((-6)/56) - -7. Let c(j) be the third derivative of 0*j - 5/24*j**4 + 0 + 1/12*j**5 - d*j**3 + 2*j**2. Factor c(p).
5*(p - 2)*(p + 1)
Let n(g) be the first derivative of -g**3/9 - 7*g**2/2 - 36*g - 2617. Find c such that n(c) = 0.
-12, -9
Factor 33*y**2 - 19218*y**3 - 14*y - 4*y**5 + 19195*y**3 + 3*y**4 + 5*y**5.
y*(y - 2)*(y - 1)**2*(y + 7)
Solve -2984901 - 2*z**3 - 466*z**2 + 3186501 - 195*z - 25245*z = 0.
-120, 7
Let s(r) be the third derivative of 0*r - 1/14*r**4 + 6*r**2 + 3 + 1/280*r**6 + 0*r**3 + 3/140*r**5. Factor s(g).
3*g*(g - 1)*(g + 4)/7
Let i(l) be the first derivative of l**6/54 + 7*l**5/45 + l**4/18 - 64*l**3/27 - 16*l**2/3 - 1791. Factor i(p).
p*(p - 3)*(p + 2)*(p + 4)**2/9
Let w(z) be the third derivative of -z**5/150 - 53*z**4/30 + 1078*z**2. Factor w(h).
-2*h*(h + 106)/5
Let c(i) be the third derivative of -1/210*i**5 + 0 + 76*i**2 + 13/21*i**4 + 0*i - 676/21*i**3. Factor c(a).
-2*(a - 26)**2/7
Let -36*m**2 - 390/11*m + 788/11 - 2/11*m**3 = 0. What is m?
-197, -2, 1
Let j(b) be the first derivative of -5/3*b**3 + 21 - 55/2*b**2 + 0*b. Solve j(p) = 0 for p.
-11, 0
Factor 2/5*u**4 - 22/5*u**3 + 0 + 16/5*u**2 + 8*u.
2*u*(u - 10)*(u - 2)*(u + 1)/5
Let p be 1564/(-7820) + 32/10. Factor 3/2*h**p - 3/2*h**2 + 1/2*h + 0 - 1/2*h**4.
-h*(h - 1)**3/2
Let n(y) be the first derivative of 5*y**3/3 + 40*y**2 + 75*y + 3189. Factor n(f).
5*(f + 1)*(f + 15)
Let q(c) = 144*c - 717. Let l(g) = g**2 - 5*g + 1. Let x(s) = 3*l(s) - q(s). Suppose x(m) = 0. Calculate m.
5, 48
Let x be 221/68*34/(-221)*(-2)/4. Determine h so that 3/2*h**2 + 15/4*h - x*h**3 + 2 = 0.
-1, 8
Solve 564/7*s**2 + 200/7*s - 144/7 + 6/7*s**5 + 88/7*s**4 + 366/7*s**3 = 0.
-9, -2, 1/3
Let o(q) be the third derivative of -q**6/72 - 19*q**5/24 + 87*q**3/2 - 3*q**2 - 39. Let s(f) be the first derivative of o(f). Factor s(c).
-5*c*(c + 19)
Let h(v) be the second derivative of -1/18*v**4 + 0*v**2 + 6*v + 0*v**6 + 1/126*v**7 + 5 + 0*v**3 - 1/20*v**5. Find a such that h(a) = 0.
-1, 0, 2
Factor -96229 - 327*k + 5*k**3 + 96359 + 120*k**2 + 72*k.
5*(k - 1)**2*(k + 26)
Let i(b) be the first derivative of -1/4*b**4 + 11/6*b**3 - 21/4*b + 62 - 1/20*b**5 + 1/2*b**2. What is n in i(n) = 0?
-7, -1, 1, 3
Let x(w) be the first derivative of 3/4*w**2 - 1/4*w**3 + 9/4*w - 29. Suppose x(y) = 0. Calculate y.
-1, 3
Factor -57*z - 2869*z**2 + 5748*z**2 - 2876*z**2.
3*z*(z - 19)
Let r = 605 - 208. Let j = -3171/8 + r. Determine b, given that b - j*b**2 + 1/8*b**3 - 1/2 = 0.
1, 2
Suppose -3 = -2*h - 5*g, -5*g + 6 + 6 = 3*h. Determine t so that 16*t**2 + t - t**4 - 7*t**2 + 10*t**2 + 8*t**3 + h*t = 0.
-1, 0, 10
Let f be (-1)/((-1)/52) - (-59)/((-295)/10). Let i(m) = m - 1. Let g be i(1). Find o, given that -f*o**4 - 5 + 51*o**4 - 2*o**3 - 14*o + g - o**2 - 11*o**2 = 0.
-1, 5
Factor -270*h + 300 - 3/4*h**3 - 117/4*h**2.
-3*(h - 1)*(h + 20)**2/4
Let s = -402236 + 402239. Let 0 + 7/4*p**s + 11/4*p**2 + 5/4*p + 1/4*p**4 = 0. What is p?
-5, -1, 0
Let w be (278/30 - 9)*(-5)/(-2). Let t(q) be the first derivative of -1/15*q**5 - 1/3*q**4 - 1/3*q - 4 - 2/3*q**2 - w*q**3. Solve t(m) = 0.
-1
Let y be (-3)/(-3) + 1 - -3. Suppose 0 = -2*n - 3*j - 2*j + 93, j + 246 = y*n. Factor -n*f**2 - 3*f**4 + 50*f**2 + 2*f**3 + 4*f**4.
f**2*(f + 1)**2
Let o(t) be the second derivative of 43*t + 2 + 1/126*t**4 - 20/63*t**3 + 100/21*t**2. Factor o(f).
2*(f - 10)**2/21
Let b = 35/3 - 11. Let m(z) = -z**2 + 72*z - 1243. Let d be m(29). Determine w, given that -2/3*w**5 + 2*w**3 - 2/3*w**d + b*w**2 + 0 - 4/3*w = 0.
-2, -1, 0, 1
Let f be (-7626)/1953 - 4/42. Let o be (-15 + 8 - f)/((-45)/160). Let -4/3*s**3 + 16/3 - o*s + 20/3*s**2 = 0. What is s?
1, 2
Let y(x) be the first derivative of -1/2*x**2 - 2/3*x**3 + 1/6*x**6 + 2/5*x**5 + 0*x**4 + 170 + 0*x. Determine z, given that y(z) = 0.
-1, 0, 1
Let l = 62/427 - -59/854. Let b(z) be the first derivative of 0*z**2 + 0*z + 0*z**3 - 30 - l*z**4 + 1/14*z**6 + 3/35*z**5. Suppose b(i) = 0. Calculate i.
-2, 0, 1
Let o = -357 + 386. Suppose -184 + o = -31*j. Determine z, given that 2/15*z**2 + 0 - 2/5*z**3 + 2/5*z**4 - 2/15*z**j + 0*z = 0.
0, 1
Let n = 30 - 8. Let u = -20 + n. Factor -139*o + 4 - 507*o**u - 17*o - 16.
-3*(13*o + 2)**2
Let a(q) be the third derivative of q**6/50 + 43*q**5/20 - 57*q**4/40 - 81*q**3/5 - q**2 - 3441*q. Factor a(j).
3*(j - 1)*(j + 54)*(4*j + 3)/5
Solve 10/3*g**2 + 5/3*g**3 - 16/3 - 1/6*g**5 - 1/2*g**4 - 4*g = 0 for g.
-4, -2, -1, 2
Let c(d) be the first derivative of d**6/120 - d**5/10 + 3*d**4/8 + 94*d**3/3 - 86. Let s(b) be the third derivative of c(b). Factor s(g).
3*(g - 3)*(g - 1)
Let r = -1184 + 1130. Let q be 6/18 - 63/r. Factor -q*v**2 - 2*v**3 + 0 + 1/2*v.
-v*(v + 1)*(4*v - 1)/2
Let z(m) = 5*m**4 + 305*m**3 - 10*m**2 - 4580*m + 6480. Let q(w) = -w**4 - 51*w**3 + 2*w**2 + 764*w - 1080. Let a(t) = 25*q(t) + 4*z(t). Factor a(x).
-5*(x - 2)**2*(x + 6)*(x + 9)
Let g(t) = t**3 + 15*t**2 + 3*t - 38. Let d be g(-16). Let p be (-154)/d - 60/(-570). Factor -1/3 - p*m - 1/3*m**3 + 11/9*m**2.
-(m - 3)*(m - 1)*(3*m + 1)/9
Let g(p) be the first derivative of p**3/2 - 543*p**2/4 - 828*p - 7004. Factor g(t).
3*(t - 184)*(t + 3)/2
Let c(o) = 20*o**2 + 6*o + 4. Let r be c(2). Factor -57*k - 44 + 30*k**2 - k**3 - 24 + r.
-(k - 28)*(k - 1)**2
Suppose 7*v = 14*v + 12026. Let t = v - -2777. Factor -1064*c**2 + 21*c + t*c**2 + 9*c.
-5*c*(c - 6)
Let n(m) = 91*m + 91. Let l(d) = -15*d - 15. Let h(i) = 13*l(i) + 2*n(i). Let w be h(-5). Let -4*c**4 + w*c**2 - c**4 - 20*c + 15*c**3 - 52*c**2 = 0. What is c?
-1, 0, 2
Factor -9635*r - 55*r**2 + 271*r**2 + 0*r**3 - 4*r**3 + 208 + 4400*r + 4815*r.
-4*(r - 52)*(r - 1)**2
Suppose 4*a + 85 = -2*f - 665, 4*a + 745 = -f. Let o be (a/10)/(-37)*(-2)/(-2). What is b in 108 - o*b**3 - 54*b + 9*b**2 = 0?
6
Let a(t) be the third derivative of -t**5/30 + 57*t**4/4 - 330*t**3 - 1696*t**2 + t - 1. Determine s so that a(s) = 0.
6, 165
Let o = 35 + -33. Let m = o - -2. Let g(c) = c**3 + 3*c**2 + 7*c + 1. Let w(u) = 3*u**3 + 6*u**2 + 15*u + 3. Let i(p) = m*w(p) - 9*g(p). Factor i(l).
3*(l - 1)**2*(l + 1)
Let n = 292051 + -292046. Suppose 0 - 8/3*g + 2/9*g**3 + 2/3*g**n + 22/9*g**4 - 38/9*g**2 = 0. Calculate g.
-3, -1, 0, 4/3
Factor 3072 + 268*w**2 + 1835*w - 77*w**3 + 508*w - 4*w**3 + 32*w**2 + 1113*w + 3*w**4.
3*(w - 16)**2*(w + 1)*(w + 4)
Let f = 1457231/990 + -13363/9. Let h = -140/11 - f. Find o, given that 1/5*o**3 - 1/10*o**4 + 0 - 1/5*o + h*o**2 = 0.
-1, 0, 1, 2
Let d be (-3162)/544 - (-8 + 2). Let u = d - -27/112. Factor 6/7*w + u*w**4 + 12/7*w**3 + 0 + 15/7*w**2.
3*w*(w + 1)**2*(w + 2)/7
Solve 228 + 582 - 1792 + 472*m + 22 + 4*m**2 = 0 for m.
-120, 2
Let p be (150 - -2) + 2/4*10. Suppose -p*j + 166*j = 18. Factor 0 - 14/3*k + 2/3*k**j.
2*k*(k - 7)/3
Let n(h) be the third derivative of h**6/100 - 498*h**5/25 + 248997*h**4/20 - 494018*h**3/5 + 7*h**2 + 2*h - 199. Factor n(q).
6*(q - 497)**2*(q - 2)/5
Let x(p) = -2*p**3 - 3*p**2 - 31*p - 62. Let a be x(-2). Factor -32*d**4 - 46*d**a + 14*d**3 + 36 - 6*d - 26*d**2 + 76*d**4.
-2*(d - 3)**2*(d - 2)*(d + 1)
Let i(p) be the second derivative of p**5/30 + 205*p**4/18 + 3536*p**3/3 + 3468*p**2 + p - 992. Factor i(x).
2*(x + 1)*(x + 102)**2/3
Solve -111/2 + 3999/8*p**2 + 1809/8*p**4 - 441/8*p - 3/2*p**5 - 4911/8*p**3 = 0 for p.
-1/4, 1, 148
Let v = 24411 + -24395. Let o = 7 + -5. Factor 8/3*m**5 + 0 - 1