 3. Let k be c(11). Factor -k*x + 155*x - 199*x**2 + 75*x**3 + 188*x - 161*x**2 - 48.
3*(x - 4)*(5*x - 2)**2
Let m = -32 - -32. Factor m*z**2 - 5*z**4 + 3*z**3 + z**5 - 4*z**2 + 5*z**3 + 0*z**2.
z**2*(z - 2)**2*(z - 1)
Let k = 138 - 139. Let f be (k - -1) + 0 - 4/(-18). Let -8/9*q**3 + 2/9 + f*q**4 + 4/3*q**2 - 8/9*q = 0. What is q?
1
Let u be (-36)/(7 - 3) - -14. Let f(o) be the third derivative of 1/360*o**6 - 3*o**2 + 0 + 0*o + 1/72*o**4 - 1/90*o**u + 0*o**3. Find s, given that f(s) = 0.
0, 1
Let t(v) be the third derivative of -v**6/24 - v**5/3 - 25*v**4/24 - 5*v**3/3 - 35*v**2. Suppose t(a) = 0. What is a?
-2, -1
Let a(g) be the third derivative of 5*g**8/336 + g**7 + 147*g**6/8 + 110*g**2. Solve a(k) = 0 for k.
-21, 0
Let s(k) = 10796*k**2 - 358*k + 7. Let d(u) = -53978*u**2 + 1789*u - 37. Let f(i) = 2*d(i) + 11*s(i). Suppose f(r) = 0. Calculate r.
1/60
Let n(s) be the second derivative of 0 - 7/20*s**5 - 36*s**2 + 41/6*s**4 - 38*s**3 + 17*s. Factor n(j).
-(j - 6)**2*(7*j + 2)
Let f = 188 + -268. Let b be (-22)/(-15) - f/(-600). Factor m**2 + 20/3*m - 70/3*m**3 - b - 49/3*m**4.
-(m + 1)**2*(7*m - 2)**2/3
Find c such that -3/4*c**4 - 3/2*c**3 - 3/4*c**2 + 0 + 0*c = 0.
-1, 0
Suppose -5*t = c - 24, 7*t - 10*t + 24 = 3*c. Let m(r) be the third derivative of 1/27*r**3 + 0 - t*r**2 + 0*r - 1/135*r**5 + 1/108*r**4. Factor m(f).
-2*(f - 1)*(2*f + 1)/9
Let a(p) be the third derivative of -p**7/42 + p**6/24 + p**5/12 - 5*p**4/24 + 31*p**2 - 1. What is t in a(t) = 0?
-1, 0, 1
Let k(l) = l**2 - 9*l - 26. Let u be k(12). Suppose 2*w + 0*w - 5*f = 10, -3*w = -5*f - u. Let w*g - 6/7*g**3 + 2/7*g**4 + 0 + 4/7*g**2 = 0. What is g?
0, 1, 2
Suppose 0 = 4*z + 21 - 29. Determine j, given that -5*j**z - 12*j**2 - 5*j**2 + 20 + j**4 + 7*j**2 + 4*j + 2*j**3 = 0.
-5, -1, 2
Let v(s) be the third derivative of 0 - 1/4*s**4 + 0*s - 5/3*s**3 - 1/300*s**6 + 25*s**2 + 3/50*s**5. Factor v(o).
-2*(o - 5)**2*(o + 1)/5
Let s(u) = -325*u**3 + 505*u**2 + 240*u - 50. Let t(n) = 27*n**3 - 42*n**2 - 20*n + 4. Let d(b) = 2*s(b) + 25*t(b). Suppose d(h) = 0. Calculate h.
-2/5, 0, 2
Factor -m - m**3 - 1/4 - 1/4*m**4 - 3/2*m**2.
-(m + 1)**4/4
Let l(z) be the second derivative of 0 - 1/4*z**4 - 1/60*z**6 - 4*z - 1/3*z**3 - 1/4*z**2 - 1/10*z**5. Solve l(k) = 0 for k.
-1
Let o(n) = -4*n**2 - 22*n + 5. Let d(f) = 3*f**2 + 21*f - 6. Suppose 0 = -q + 1 + 5. Let j(a) = q*o(a) + 7*d(a). Suppose j(c) = 0. What is c?
1, 4
Let f = 3282 - 3280. Factor 1/3*y**3 - 1/3*y**5 - 4/3 - 11/3*y**f + 4*y + y**4.
-(y - 2)*(y - 1)**3*(y + 2)/3
Factor 0*n**3 - 3/2*n**2 + 0 + 3/2*n**4 + 0*n.
3*n**2*(n - 1)*(n + 1)/2
Let n = -11303 + 11307. Factor 0 + 20/7*v**2 - 66/7*v**3 - 2*v**n + 0*v.
-2*v**2*(v + 5)*(7*v - 2)/7
Suppose 4*r - 5*b = 32, -r + 5*b + 14 = -3*r. Suppose 4 + 3*f**2 + 6 - 10 + r*f**3 = 0. Calculate f.
-1, 0
Let a = 227214/66283 + 6/9469. Suppose a*w + 8/7 + 26/7*w**2 + 2/7*w**4 + 12/7*w**3 = 0. Calculate w.
-2, -1
Suppose q - 56 = -14*q + q. Let m(l) = l**3 + 7*l**2 + 5*l - 6. Let p be m(-6). Factor 2/9*t + 2/9*t**2 - 2/9*t**q + p - 2/9*t**3.
-2*t*(t - 1)*(t + 1)**2/9
Let g = -790 + 792. Find m such that 13/2*m**g + 1/2*m**3 - 5/2*m - 11/2*m**4 - 1 + 2*m**5 = 0.
-1, -1/4, 1, 2
Let a(f) = -23*f + 112. Let l(j) = 7*j - 38. Let v(h) = 4*a(h) + 14*l(h). Let x be v(14). Solve 0 - 1/6*m**3 + x*m + 1/6*m**2 = 0.
0, 1
Solve 0*i + 12/7*i**4 - 22/7*i**3 - 2/7*i**5 + 12/7*i**2 + 0 = 0.
0, 1, 2, 3
Let o(y) be the second derivative of -7*y**6/30 + 9*y**5/20 + y**4 - 2*y**3/3 - 17*y + 3. Determine z so that o(z) = 0.
-1, 0, 2/7, 2
Let y(q) be the second derivative of -1 - 3/2*q**2 + 0*q**3 + 1/4*q**4 + 14*q. Suppose y(c) = 0. Calculate c.
-1, 1
Factor 69/2*z**2 + 50 + 1/2*z**4 + 70*z + 7*z**3.
(z + 2)**2*(z + 5)**2/2
Let m(s) be the second derivative of s**5/10 + 4*s**4/3 - 15*s**3 + 36*s**2 + 645*s. Find y, given that m(y) = 0.
-12, 1, 3
Suppose 14*o = 17*o + 44*o. Let o*p + 0 + 1/6*p**2 = 0. What is p?
0
Let l(x) be the first derivative of -x**4/12 + 5*x**3/3 + 17*x**2/3 + 208. Factor l(b).
-b*(b - 17)*(b + 2)/3
Let m = -30 - -20. Let c be 3/(27/m + 3). Find x such that -6 - c*x + 1 - 2*x - 3*x**2 - 4 = 0.
-3, -1
Let z(y) = -y**3 - y**2 + 7*y + 5. Let x = -91 + 86. Let n(b) = b**3 + b**2 - 10*b - 8. Let q(a) = x*n(a) - 8*z(a). What is g in q(g) = 0?
-2, 0, 1
Let b(w) = 9*w**2 + 245*w + 57. Let p be b(-27). Let 0*o + 0 + 0*o**p - 1/6*o**2 + 1/6*o**4 = 0. What is o?
-1, 0, 1
Suppose -3 - 68*l - 5*l**2 - 5*l**3 - 69*l + 142*l + 8 = 0. Calculate l.
-1, 1
Let g(c) be the third derivative of -c**6/540 - 2*c**5/135 - c**4/108 + 2*c**3/9 + 4*c**2 - 32. Factor g(p).
-2*(p - 1)*(p + 2)*(p + 3)/9
Let l(d) be the second derivative of d**5/20 - 15*d**4/4 + 161*d**3/2 + 529*d**2/2 - 11*d + 25. Find p such that l(p) = 0.
-1, 23
Let q = 67 - 65. Let n be -2 - 20/(-9) - q/90. Solve 0 + 0*c**4 - 2/5*c**3 + 1/5*c**5 + n*c + 0*c**2 = 0 for c.
-1, 0, 1
Suppose h - 26 = -25. Let t(g) = g**5 - g**4 + g**3 - g**2 + g. Let l(x) = 2*x**5 - x**4 + 5*x**3 - 7*x**2 + 2*x + 2. Let f(o) = h*l(o) - 3*t(o). Factor f(c).
-(c - 2)*(c - 1)**2*(c + 1)**2
Let j(w) = -7*w**2 - 38*w - 6. Let s(b) = 6*b**2 + 37*b + 8. Let d(g) = -4*j(g) - 5*s(g). Suppose d(r) = 0. Calculate r.
-16, -1/2
Let m(s) be the third derivative of -1/2*s**4 + 1/90*s**6 + 1/15*s**5 + 0 + 10/9*s**3 + 5*s**2 + 0*s. Find f such that m(f) = 0.
-5, 1
Let m(k) = 2*k**2 + 2*k - 12. Let a(f) = 13 - 2*f - 8 + f**2 - 3*f**2 + 7. Let g(v) = 4*a(v) + 6*m(v). Factor g(j).
4*(j - 2)*(j + 3)
Let q(z) be the second derivative of -3*z**7/560 - 7*z**6/240 - z**5/40 + z**3/6 - 3*z. Let c(w) be the second derivative of q(w). Factor c(o).
-3*o*(o + 2)*(3*o + 1)/2
Let n be (10/(-45))/(-1 + (-3)/9). Let w(j) be the second derivative of 0 + n*j**3 - 2*j + 1/6*j**4 + 1/20*j**5 + 0*j**2. Let w(h) = 0. Calculate h.
-1, 0
Determine z so that 65*z**2 + 10*z**2 + 26*z**3 + 27 - 2*z**3 - 9*z**2 + 3*z**4 + 72*z = 0.
-3, -1
Suppose -15 = -3*x - 2*x. Suppose -9*q + 38 - 20 = 0. Factor 1/7*c**4 - 3/7*c**q - 1/7*c**x + 1/7*c + 2/7.
(c - 2)*(c - 1)*(c + 1)**2/7
Let i = 899/3548 + -3/887. Let k(w) be the second derivative of 0*w**3 - 5/12*w**4 + 0*w**2 + 0 + i*w**5 - 12*w. Factor k(r).
5*r**2*(r - 1)
Let g be ((-3612)/(-8))/3*(-6)/45. Let z = -99/5 - g. Factor -2/15*y**4 - 6/5*y**2 - z + 2/3*y**3 + 14/15*y.
-2*(y - 2)*(y - 1)**3/15
Let z(m) = 8*m**2 + 305*m - 293. Let l(r) = 4*r**2 + 150*r - 146. Let j(n) = 5*l(n) - 2*z(n). Find s, given that j(s) = 0.
-36, 1
Let d be (5 - 6)*6/(-3). Factor -33 - 7*r + 31*r - 3*r**d + 12.
-3*(r - 7)*(r - 1)
Let a be 21/9 - 2/(-3). Factor -90*o**a + 14*o - 84*o**2 + 24*o**4 - 26*o**4 - 6*o**5 - 37*o**4 - 38*o.
-3*o*(o + 2)**3*(2*o + 1)
Let t(j) be the third derivative of 0*j**3 + 0 - 1/6*j**4 + 1/105*j**7 + 0*j + 8*j**2 - 1/30*j**5 + 1/30*j**6. Factor t(a).
2*a*(a - 1)*(a + 1)*(a + 2)
Let q(l) = -l - 3. Let h = -4 + -1. Let g be q(h). Solve 3 - g*b + b**4 - 1 + 2*b**3 - 3 = 0 for b.
-1, 1
Let m = -18 - -24. Suppose c - m = -2. Factor 0*x**3 + x**2 + 0*x - 1/2 - 1/2*x**c.
-(x - 1)**2*(x + 1)**2/2
Let l(q) = q**3 - q**2 - 5*q + 4. Let u be l(3). Suppose -5*n + u = -8. Factor i + i**n + 2*i**3 - 4*i.
3*i*(i - 1)*(i + 1)
Let u(i) be the third derivative of -3*i**6/160 + i**5/8 - i**4/32 - 3*i**3/4 + 49*i**2. Determine c so that u(c) = 0.
-2/3, 1, 3
Let g(y) be the third derivative of -y**7/42 + y**6/12 + y**5/12 - 5*y**4/12 - 29*y**2 + 1. Factor g(q).
-5*q*(q - 2)*(q - 1)*(q + 1)
Suppose -5*f + 0*f + 95 = 0. Let n = 19 - f. Determine z so that 1/2*z + 1/2*z**2 + n = 0.
-1, 0
Let k(h) = 6*h - 33. Let d be k(6). Let w(c) be the second derivative of 3*c - 1/10*c**5 + 0 + 0*c**d + 0*c**2 + 1/3*c**4. Factor w(b).
-2*b**2*(b - 2)
Let v(m) be the third derivative of 1/30*m**6 - 1/3*m**3 + 0 + 9*m**2 + 1/30*m**5 + 0*m - 1/336*m**8 - 1/8*m**4 + 0*m**7. Factor v(i).
-(i - 2)*(i - 1)*(i + 1)**3
Let l(p) be the third derivative of -160/3*p**3 + 0*p + 10/3*p**4 + p**2 - 1/12*p**5 + 0. Factor l(u).
-5*(u - 8)**2
Let p(y) be the first derivative of -3*y**5 - 20*y + 5/4*y**4 + 1 + 35/3*y**3 - 5/6*y**6 + 0*y**2. Determine d so that p(d) = 0.
-2, -1, 1
Solve -85*c + 12 - 83 - 5*c**2 - 9 + 0*c**2 = 0 for c.
-16, -1
Let h(z) = -5*z**2 - 63*z - 183. Let c(g) = 15*g**2 + 190*g + 550. Let x(f) = 3*c