e the first derivative of -3510*w**3 - 72*w**4 - w**5 - 32864*w - 20058*w**2 + 41 - 23682*w**2 - 28*w**4 + 131279*w. Find l, given that n(l) = 0.
-27, 1
Suppose -12*n = -7*n + 5*j - 15, j = -3*n + 11. Factor -p**2 + 3*p + n*p - p - p - 5*p**3 - 2 + 3*p**4.
(p - 1)**2*(p + 1)*(3*p - 2)
Suppose -4*g = -y + 16, 0 = -5*g - 176 + 166. Let i be 100/8 + -16 + y. Let -3 - 12*k**4 + 0*k**3 - 9/2*k + 15*k**2 + i*k**5 = 0. Calculate k.
-1, -1/3, 1, 2
Let g be -1 - (-6)/(-2 - 4)*-3. Suppose -g*j - 23*j + 75 = 0. Find u such that -4/5 + 4/5*u**2 + 2/5*u - 2/5*u**j = 0.
-1, 1, 2
Let k(w) = -4 + 61*w - 23*w + 3 + 3. Let i be k(2). Factor 0*g**3 + 5*g + i + 5*g**2 - 83 - 5*g**3.
-5*(g - 1)**2*(g + 1)
Let v(r) be the third derivative of r**7/18900 - r**6/2700 - 2*r**5/225 - 13*r**4/24 - r**2 + 6. Let a(k) be the second derivative of v(k). Factor a(f).
2*(f - 4)*(f + 2)/15
Let w = -165082 - -165082. Factor 0 + 7/4*k**3 + w*k**2 + 0*k + 1/4*k**4.
k**3*(k + 7)/4
Let x(w) = -9*w**3 - 8*w**2 - 31*w - 2. Let y(b) = 4*b**3 - 2*b**2 + 2*b + 1. Let o(z) = x(z) + 2*y(z). Factor o(p).
-p*(p + 3)*(p + 9)
Let g be (-425)/(-9)*1/1. Let r = -47 + g. Factor 8/3*c**4 + 268/9*c**2 - 104/3*c - r*c**5 + 16 - 38/3*c**3.
-2*(c - 3)**2*(c - 2)**3/9
Let y(i) be the third derivative of 7/180*i**6 + 0*i - 18*i**2 + 1/315*i**7 - 1/12*i**4 + 2 + 13/90*i**5 - 2*i**3. Factor y(j).
2*(j - 1)*(j + 2)*(j + 3)**2/3
Let l(t) be the third derivative of -t**6/660 + 4*t**5/165 + 61*t**4/132 + 52*t**3/33 + 665*t**2 - 1. What is a in l(a) = 0?
-4, -1, 13
Suppose r + 12 = 2*w, 3*w - 28 = 5*r - r. Suppose -6*i = -w*i - 22. Determine b so that i*b**4 - 15*b**3 + 15*b - 22*b**4 + 25*b**2 - 5 - 5*b**4 - 4*b**4 = 0.
-1, 1/4, 1
Let v(x) be the third derivative of 0*x + 0 - 123*x**2 + 4/3*x**4 + 32/3*x**3 + 1/15*x**5. Factor v(j).
4*(j + 4)**2
Let n(i) = i**5 - 2*i**4 + i**3 + i**2 - 2*i + 3. Let d(k) = -2*k**5 + 94*k**4 + 118*k**3 - 207*k**2 - 6*k + 9. Let j(a) = d(a) - 3*n(a). What is p in j(p) = 0?
-2, 0, 1, 21
Let f(y) be the first derivative of -y**6/9 + 68*y**5/15 - 107*y**4/3 - 2512*y**3/9 - 1729*y**2/3 - 1444*y/3 + 7620. Suppose f(v) = 0. What is v?
-2, -1, 19
Suppose 362*y - 341*y - 31 = 11. Factor 2/23*b + 2/23 - 2/23*b**y - 2/23*b**3.
-2*(b - 1)*(b + 1)**2/23
Suppose -4*m - 2*o = 118, 4*m - 3*o + 90 + 33 = 0. Let n = m - -33. Solve -21*q**2 - 9*q**2 - 15*q + 60*q + 12*q**n - 7*q**3 = 0 for q.
0, 3
Let z(f) = 4*f**2 + 59*f + 196. Let i(b) = 20*b**2 + 296*b + 980. Let t = 187 + -171. Let k(h) = t*z(h) - 3*i(h). Suppose k(l) = 0. Calculate l.
-7
Let z be (-10)/3*((-872)/96 + (11 - 2)). Let u(h) be the second derivative of -1/3*h**3 + 0*h**2 + z*h**4 - 1/30*h**5 + 0 + 27*h - 1/45*h**6. Factor u(k).
-2*k*(k - 1)**2*(k + 3)/3
Factor 5/2*r - 1/2*r**2 - 3.
-(r - 3)*(r - 2)/2
Let k = -5185 + 5187. Let h(b) be the first derivative of 5/6*b**3 + 1/8*b**4 + 2*b - 4 + 2*b**k. Factor h(l).
(l + 1)*(l + 2)**2/2
Factor 1/5*t**5 + 0*t**2 - 1126/5*t**4 + 0*t + 316969/5*t**3 + 0.
t**3*(t - 563)**2/5
Let y(g) = g**2 - 16*g - 106. Let l be y(21). Let s be 11/3 + (l - 2). Factor -4/3*k**2 + s*k**4 + 2/3 + 0*k**3 + 0*k.
2*(k - 1)**2*(k + 1)**2/3
Solve -6*x**4 - 422*x + 194583*x**3 - 684*x**2 - 1090*x - 432 - 194693*x**3 = 0.
-6, -1/3
Let m be (-1386)/(-441) - 2 - (-115)/28. Solve 57/4*k**2 + 15/4*k**4 - 18 - 279/4*k**3 + 129/2*k + m*k**5 = 0.
-4, -1, 2/7, 1, 3
Let a = 33 + -97/3. Let n be (4/18)/(57/((-1539)/(-36))). Factor 0 - 1/6*c**4 - a*c + 2/3*c**2 + n*c**3.
-c*(c - 2)*(c - 1)*(c + 2)/6
Let q(y) be the second derivative of 3/40*y**5 + 1/60*y**6 + 0 - 1/8*y**4 + 103*y - 3/2*y**2 - 11/12*y**3. Suppose q(h) = 0. Calculate h.
-3, -1, 2
Let r(j) be the first derivative of -j**4/14 + 2*j**3/7 + 286*j**2/7 - 576*j/7 - 1122. Factor r(f).
-2*(f - 18)*(f - 1)*(f + 16)/7
Let d(a) = -2*a**3 + 20*a**2 - 33*a + 139. Let v be d(9). Let l(c) be the second derivative of -15*c - 7/6*c**3 - 5/2*c**2 - 1/6*c**v + 0. Factor l(p).
-(p + 1)*(2*p + 5)
Let f(o) = -21*o**4 + 11*o**3 + 9*o**2 - 31*o - 20. Let x(y) = -26*y**4 + 12*y**3 + 12*y**2 - 31*y - 20. Let q(t) = 5*f(t) - 4*x(t). Factor q(z).
-(z - 5)*(z - 4)*(z + 1)**2
Let c(u) be the first derivative of u**5/40 - 17*u**4/32 - 39*u**3/4 - 247. Determine f so that c(f) = 0.
-9, 0, 26
Let k(f) be the second derivative of -5/7*f**4 - 4*f - 75/7*f**3 + 0*f**2 - 15 + 1/147*f**7 + 16/5*f**5 + 2/7*f**6. Let k(n) = 0. Calculate n.
-15, -1, 0, 1
Let v = 102 - -69. Suppose 3*p = -0*p - 4*a + v, -5*a - 76 = -p. Factor 21*i**3 - p*i**3 + 34*i**2 - 40 + 5*i**4 - 4*i**2 + 20*i + 15*i**3.
5*(i - 2)**3*(i + 1)
Suppose 5*n + 40 = 5*b, 12 - 6 = b + n. Let u be b + 2/28*-90. Factor u*y - 2/7 - 2/7*y**2.
-2*(y - 1)**2/7
Let s(n) be the third derivative of -1/3*n**4 + 6*n**2 - 1/15*n**6 + 0*n - 1/5*n**5 - 1/3*n**3 - 1/105*n**7 + 0. Factor s(q).
-2*(q + 1)**4
Let t(o) be the first derivative of o**3/6 - 99*o**2/2 - 199*o/2 + 6707. Let t(f) = 0. Calculate f.
-1, 199
Suppose h + 2*h - 3*a = -54, 0 = 2*a - 10. Let q be 8/6 - h*(-2)/24. Factor -1/2 - 5/4*b - q*b**2 + 1/2*b**3.
(b - 2)*(b + 1)*(2*b + 1)/4
Let q(i) be the third derivative of -5*i**5 - 26/105*i**7 + i - 11/6*i**6 - 1/84*i**8 + 0*i**4 + 0 + 0*i**3 + 29*i**2. Solve q(z) = 0 for z.
-5, -3, 0
Let q be (5 + -29)/(-24) + (-7)/8. Factor -1/4*d + q*d**2 - 3/8.
(d - 3)*(d + 1)/8
Let s be 13/6 + (-14)/((-252)/(-36)) + 565/66. What is h in -s*h + 2/11*h**2 - 98/11 = 0?
-1, 49
Let f(p) be the first derivative of -p**3/5 - 267*p**2/10 + 935. Suppose f(t) = 0. What is t?
-89, 0
Suppose 4*l - 4*j = -12, -l = 4*j - 1804 + 1777. Let 2*s**2 - 6/5*s**l - 14/15*s + 2/15 = 0. What is s?
1/3, 1
Let c be (195/(-208))/(4*30/(-288)). Factor 0 + 3/4*i**4 + c*i**2 + 15/4*i**3 - 27/4*i.
3*i*(i - 1)*(i + 3)**2/4
Suppose -142*h + 538 - 63 = 49. Let d(f) be the first derivative of -f**2 + 3*f - 15 + 1/9*f**h. Find m such that d(m) = 0.
3
Let m be 7/(63/6)*(-27)/(-6). Factor 10487*j**2 - 9*j + 0*j**4 + 9*j**3 - 10484*j**2 - m*j**4.
-3*j*(j - 3)*(j - 1)*(j + 1)
Let b(d) be the third derivative of -124*d**2 + 0*d**3 - 3/20*d**5 + 0 + 1/20*d**6 + 1/70*d**7 + 0*d**4 + 0*d. Factor b(n).
3*n**2*(n - 1)*(n + 3)
Suppose 66*c = -57*c + 246. Let n(q) be the third derivative of 0 + 5/6*q**4 + 0*q - 6*q**c + 0*q**3 - 1/15*q**5. Let n(k) = 0. What is k?
0, 5
Let d(f) be the second derivative of -f**5/50 + 18*f**4/5 - 419*f**3/15 + 312*f**2/5 + 2*f - 17. Determine t, given that d(t) = 0.
1, 3, 104
Let h be 14/77*(-110)/30*(-5 + -1). Let -11/6*b**2 - 1/2*b**3 + 5/3 + 1/6*b**h + 1/2*b = 0. What is b?
-2, -1, 1, 5
Suppose -z - 4*r = -5*z + 196, -3*z - 5*r = -171. Suppose 0*i + 15 = 3*i, 3*k + 2*i - z = 0. Factor -8*x**4 - k*x + 3 - 4*x**3 + 1 + 4*x**4 + 16*x**2 + 2*x**5.
2*(x - 1)**4*(x + 2)
Let x(l) be the third derivative of l**6/120 + 278*l**5/15 - 2227*l**4/24 + 557*l**3/3 - 3*l**2 - 838. Let x(c) = 0. What is c?
-1114, 1
Let r(k) be the second derivative of k**5/160 + 139*k**4/96 - 3421*k**3/48 + 19481*k**2/16 - 2*k - 3114. Suppose r(i) = 0. What is i?
-161, 11
Suppose -k + 12 = 3*p, 8 = -2*p + 5*k - 1. Let w be (7/p)/(6/18). Factor 4*z**2 - 7*z**3 + 6*z**3 + 4*z**4 - w*z**3.
4*z**2*(z - 1)**2
Suppose 0 = 7*u - 23 - 12. Suppose i = 4*i - g - 20, 4*i = -u*g - 5. Factor 5 + 14*t - t - 2*t + i*t**2 - t.
5*(t + 1)**2
Let n(t) = -t**3 + 50*t**2 + 336*t + 7. Let d be n(56). Let i(a) be the second derivative of -3/40*a**5 + 0*a**3 - 3/8*a**4 + 3*a**2 + d*a + 0. Factor i(o).
-3*(o - 1)*(o + 2)**2/2
Suppose -2*y - 2*y + 32 = -2*h, 34 = 5*y - h. Let q = 200 + -199. Factor -2*g**2 - g**3 - 5*g + 3 + y*g - 2 + q.
-(g - 1)*(g + 1)*(g + 2)
Suppose 4*g = 4*b - g - 1061, -3*b + g + 793 = 0. Let l be (-300)/b + (-12)/(-8). Let 0*y**2 + 6/11*y + l - 2/11*y**3 = 0. What is y?
-1, 2
Factor -1201/4*z - 75 - z**2.
-(z + 300)*(4*z + 1)/4
Let a(r) = 15*r**4 + 102*r**3 - 657*r**2 + 2580*r - 1959. Let j(x) = 7*x**4 + 46*x**3 - 328*x**2 + 1290*x - 979. Let m(o) = 4*a(o) - 9*j(o). Factor m(p).
-3*(p - 5)**2*(p - 1)*(p + 13)
Let v(f) be the first derivative of -f**5/20 + 7*f**3/6 - 3*f**2 - 38*f - 52. Let k(w) be the first derivative of v(w). Let k(q) = 0. What is q?
-3, 1, 2
Let z(j) be the second derivative of j**6/90 + 3*j**5/5 - 5*j**3/2 + j**2 + 13*j - 1. Let y(l) be the second derivative of z(l). Factor y(v