3.
(l + 57)**2/3
Let z(l) = -148*l**3 + 175*l**2 - 9*l - 10. Let k(n) = -150*n**3 + 174*n**2 - 9*n - 9. Let o(w) = 4*k(w) - 3*z(w). Let o(c) = 0. What is c?
-2/13, 1/4, 1
Let v = 1548 + -3095/2. Factor -v - 1/2*i**4 + i**3 - 1/2*i - 1/2*i**5 + i**2.
-(i - 1)**2*(i + 1)**3/2
Let y(p) be the third derivative of -p**5/240 - p**4/32 + 5*p**3/12 + p**2 - 8. Find l, given that y(l) = 0.
-5, 2
Let u(w) be the first derivative of 5*w**3/3 - 345*w**2/2 - 710*w - 15. Suppose u(s) = 0. What is s?
-2, 71
Factor -24/5*t**2 - 3/5*t**4 - 12/5*t + 0 - 3*t**3.
-3*t*(t + 1)*(t + 2)**2/5
Let a = -43/115 + 49737/460. Let y = -107 + a. Determine b so that 3/4*b**5 + 3/2*b**4 + 0 + 0*b**2 + 0*b + y*b**3 = 0.
-1, 0
Let c = 1180 - 1177. Suppose -4/7*b**4 - 4/7*b**c + 4/7*b + 0 + 4/7*b**2 = 0. Calculate b.
-1, 0, 1
Let o(c) be the third derivative of -c**5/140 + 11*c**4/28 - 121*c**3/14 - 18*c**2. Determine m, given that o(m) = 0.
11
Suppose -2*o = 4 - 40. Let a(g) = 7*g - 1. Let w be a(4). Suppose -1 + 12*s**3 + o*s - 9 + w*s**2 + 13 = 0. What is s?
-1, -1/4
Let c(k) = -7*k**2 + 772*k - 1549. Let x(a) = 3*a**2 - 258*a + 516. Let v(o) = 4*c(o) + 11*x(o). Solve v(l) = 0 for l.
-52, 2
Let t(h) be the first derivative of -84*h**5/5 + 669*h**4/4 - 326*h**3 - 42*h**2 + 72*h + 35. Determine u, given that t(u) = 0.
-2/7, 1/4, 2, 6
Let g(z) be the third derivative of -z**8/840 + z**7/420 + z**3 - 6*z**2. Let m(c) be the first derivative of g(c). Factor m(b).
-2*b**3*(b - 1)
Let i(b) = -b**3 - b**2 - 5*b + 1. Let a be i(-4). Factor 31*y + 9*y + 2*y**2 + 11 + a + 3*y**2.
5*(y + 4)**2
Suppose 4*r + r - q = -1, r - 4 = -4*q. Suppose d + 3*a - 6 = -19, -4*d + 5*a + 33 = r. Factor 1/4*w**5 - 1/2*w**3 + 1/4*w + 1/4*w**4 + 1/4 - 1/2*w**d.
(w - 1)**2*(w + 1)**3/4
Let t(r) = -r**2 + 6*r - 2. Let s be ((-6)/4)/((-10)/20). Let w be t(s). Suppose 2*q + 1 + 0 + 6*q**3 - w*q**2 - 1 = 0. What is q?
0, 1/2, 2/3
Let f(u) be the third derivative of -u**8/336 + u**7/42 - u**6/18 + 19*u**3/6 + 2*u**2. Let l(w) be the first derivative of f(w). Factor l(o).
-5*o**2*(o - 2)**2
Let h(t) be the first derivative of 48 - 1/12*t**3 + 0*t - 5/4*t**2. Factor h(z).
-z*(z + 10)/4
Suppose 13/7*a + 2 - 1/7*a**2 = 0. Calculate a.
-1, 14
Let n be (-2856)/(-264) + (-4)/(-66)*3. Let t be (33/n - -7)*(-2)/(-10). Factor -1/3*z**t + 1/3*z + 0.
-z*(z - 1)/3
Determine j, given that 14/13*j - 6/13*j**3 - 12/13 + 6/13*j**2 - 2/13*j**4 = 0.
-3, -2, 1
Let -3/2*o**4 - 3/2*o**2 + 3 + 9/2*o - 9/2*o**3 = 0. Calculate o.
-2, -1, 1
Let g(f) be the first derivative of 4*f - 5 - 4*f**2 - 5/3*f**3. Solve g(i) = 0 for i.
-2, 2/5
Let y(w) = -6*w**5 + 9*w**4 + 3*w**3 - 12*w**2 + 3*w. Suppose 5 - 20 = -5*s. Let j(a) = -a**5 + a**3 + a. Let k(z) = s*j(z) - y(z). Factor k(c).
3*c**2*(c - 2)**2*(c + 1)
Let u be 3/((-9)/(-15)) + -9 + 4. Let l(z) be the first derivative of u*z - z**3 - 2 - 3/2*z**2. Factor l(o).
-3*o*(o + 1)
Let a(m) be the first derivative of m**5/15 + 17*m**4/4 + 546. Find o, given that a(o) = 0.
-51, 0
Let w(x) = 12*x - 26*x + 15 + 11*x. Let n be w(5). Let -2/9*t**4 + n*t**2 - 4/9*t**3 + 4/9*t + 2/9 = 0. What is t?
-1, 1
Let s(t) be the first derivative of -24/5*t - 2*t**2 - 23 - 4/15*t**3. Find b, given that s(b) = 0.
-3, -2
Determine f, given that -1924*f**3 + 3818*f**3 + 80*f - 1839*f**3 + 320 - 5*f**4 - 180*f**2 = 0.
-1, 4
Let r = 884 + -1767/2. Let -3*s**4 + r*s + 4*s**2 - 1/2*s**3 - 1 = 0. Calculate s.
-1, -2/3, 1/2, 1
Let b(q) be the first derivative of 2/9*q**3 + 2/3*q + 2/3*q**2 - 7. Suppose b(v) = 0. Calculate v.
-1
Let r = 2879 - 2874. Find p such that 0 + 1/2*p**3 - 1/4*p + 0*p**2 - 1/4*p**r + 0*p**4 = 0.
-1, 0, 1
Determine a so that 4 + 1/4*a**2 - 17/4*a = 0.
1, 16
Let i(c) be the first derivative of 15*c**4/2 - 4*c**3/3 - 201. Factor i(y).
2*y**2*(15*y - 2)
Let r(u) be the first derivative of -u**5/120 + u**3/12 - u**2 - 15. Let b(k) be the second derivative of r(k). Determine x, given that b(x) = 0.
-1, 1
Factor 5/3*n**5 + 0 + 10*n**4 + 15*n**3 + 20/3*n**2 + 0*n.
5*n**2*(n + 1)**2*(n + 4)/3
Let b = 48670/3 + -16202. Find j, given that -16*j**2 - b*j + 16/3*j**3 + 32/3 + 10/3*j**4 = 0.
-2, 2/5, 2
Let p(s) be the third derivative of -s**5/300 + 29*s**4/40 - 430*s**2. Let p(z) = 0. Calculate z.
0, 87
Let n(p) be the second derivative of -p**5/220 - p**4/11 - 7*p**3/22 - 5*p**2/11 + 62*p. Let n(w) = 0. What is w?
-10, -1
Let m be 1240/85*(-3)/(-36) - (-26)/221. Let a(y) = -y**2 + 5*y + 5. Let g be a(5). Suppose -8/3*b**2 - 2/3*b**g + 0 - 8/3*b + m*b**4 + 2*b**3 = 0. Calculate b.
-1, 0, 2
Factor -f - 6/7 - 1/7*f**2.
-(f + 1)*(f + 6)/7
Let 5*d**3 + 26*d**2 + 382*d**4 - 267*d**4 - 96*d**2 - 45*d**2 + 30*d - 35*d**5 = 0. What is d?
-1, 0, 2/7, 1, 3
Find m such that m + 0*m - m + 2 + 5*m**4 + 5*m - 15*m**2 + m**3 + 2*m = 0.
-2, -1/5, 1
Let h(b) = -7*b**3 + 4*b**2 + b - 4. Let u(w) = -15*w**3 + 8*w**2 + w - 8. Let a(d) = 7*h(d) - 3*u(d). Factor a(v).
-4*(v - 1)**2*(v + 1)
Factor -2/3*l + 1/6*l**3 + 0*l**2 + 0.
l*(l - 2)*(l + 2)/6
Let h(b) be the second derivative of -b**6/75 + 17*b**5/50 + 37*b**4/30 + 19*b**3/15 - 183*b. Suppose h(v) = 0. What is v?
-1, 0, 19
Let n(b) = b + 1. Let y(m) = -3*m**2 - 15*m - 12. Suppose -2*k + 4*s = -6, 2*k - 5*s = -k + 8. Let a(z) = k*y(z) - 6*n(z). Let a(r) = 0. Calculate r.
-6, -1
Let -2334*w + 16*w**2 + 2352*w - 8*w**3 + 6*w**3 = 0. What is w?
-1, 0, 9
Let x(a) be the third derivative of 1/12*a**5 - 9*a**2 + 0*a + 0*a**4 + 0*a**3 + 0 + 1/72*a**6. Factor x(b).
5*b**2*(b + 3)/3
Suppose -16/5*v**4 + 0*v - 12/5*v**2 + 0 + 26/5*v**3 + 2/5*v**5 = 0. What is v?
0, 1, 6
Find c such that 3/4*c**3 + 1/2*c**2 + 0 + 1/4*c**4 + 0*c = 0.
-2, -1, 0
Let o(l) be the third derivative of -5*l**8/448 + 41*l**7/840 - 29*l**6/480 - 3*l**5/80 + l**4/6 - l**3/6 + 7*l**2. Let o(z) = 0. What is z?
-2/3, 2/5, 1
Let z be (-1*(-1)/(-99))/(1/(-14)). Let o = 2/9 + z. Factor -o + 0*h**2 - 2/11*h**3 + 6/11*h.
-2*(h - 1)**2*(h + 2)/11
Let h = 1340 - 1336. Let k(a) be the second derivative of 1/40*a**5 - 5*a - 16*a**2 + 4*a**3 - 1/2*a**h + 0. Factor k(t).
(t - 4)**3/2
Suppose 63*s = 68*s. Let u(h) be the second derivative of -7*h + 81/4*h**2 - 3/40*h**5 - 27/4*h**3 + 9/8*h**4 + s. Factor u(q).
-3*(q - 3)**3/2
Suppose -8/3*r - 2/3*r**2 + 8 = 0. Calculate r.
-6, 2
Suppose -4*d = 2*k - 152, 5*k - 119 = 4*d + 233. Let o = -70 + k. Let -1/3*y**o + 0 - 1/3*y = 0. Calculate y.
-1, 0
Let u(p) = -p**2 - 42*p + 53. Suppose 2*r - 2*a - 10 = 0, a = -r + 3*r - 12. Let q(s) = s**2 + 21*s - 26. Let k(d) = r*q(d) + 4*u(d). Factor k(f).
3*(f - 5)*(f - 2)
Let l be ((-40)/(-16))/(((-105)/(-36))/1). Determine o so that 2/7*o**2 - l*o + 0 = 0.
0, 3
Factor 116*k**3 + 338/3*k - 28 - 512/3*k**2 + 2/3*k**5 - 92/3*k**4.
2*(k - 42)*(k - 1)**4/3
Factor -138*h**3 - 67*h - 36*h**4 + 1904*h**2 - 8*h - 2084*h**2 - 3*h**5.
-3*h*(h + 1)**2*(h + 5)**2
Let n(c) be the second derivative of -c**6/15 + 13*c**5/5 - 47*c**4/2 - 364*c**3/3 - 196*c**2 - 9*c. Factor n(h).
-2*(h - 14)**2*(h + 1)**2
Factor 2028/5 + 3/5*y**2 - 156/5*y.
3*(y - 26)**2/5
Find u such that 16*u + 326*u**4 + 4 + 19*u**3 + u**5 + 17*u**2 + 8*u**2 - 319*u**4 = 0.
-2, -1
Let y(b) be the third derivative of -b**6/300 + b**5/25 - b**4/5 + 8*b**3/15 - 2*b**2 - 32*b. Find h, given that y(h) = 0.
2
Let 13/4*s - 19/2*s**4 - 21/2 + 5/4*s**5 + 3/2*s**3 + 26*s**2 = 0. What is s?
-1, 3/5, 2, 7
Let n(u) be the third derivative of 0*u - 1/30*u**4 + 0 + 4/15*u**3 + 26*u**2 - 1/75*u**5. Factor n(s).
-4*(s - 1)*(s + 2)/5
Let z(p) be the third derivative of p**6/280 - 3*p**5/70 + 5*p**4/56 + 6*p**3/7 + p**2 - 38*p. Solve z(f) = 0.
-1, 3, 4
Let s(a) = -a**3 - 18*a**2 - 16*a + 24. Let i be s(-17). What is c in 15*c**2 - c**3 + 3*c**3 - i*c**3 = 0?
0, 3
Let i(f) = f**2 - 4*f - 5. Let r(s) = -23*s + 11*s + 5*s + 8*s + 1. Let h = 4 - 0. Let q(b) = h*i(b) + 28*r(b). Solve q(l) = 0 for l.
-2, -1
Let w(o) be the first derivative of 1/6*o**3 + 0*o + 1/120*o**6 - 1/24*o**4 + 6 - 3*o**2 - 1/60*o**5. Let s(c) be the second derivative of w(c). Factor s(n).
(n - 1)**2*(n + 1)
Let l(p) be the third derivative of 0 + 19*p**2 + 11/15*p**5 - 3/10*p**6 + 0*p**3 - 1/3*p**4 + 0*p. Find i such that l(i) = 0.
0, 2/9, 1
Let i(u) be the third derivative of -5*u**8/672 - u**7/12 - u**6/16 + 59*u**5/24 + 65*u**4/6 + 20*u**3 