*2 - 18*a. Let p(f) = -20*f**5 - 27*f**4 - 87*f**3 - 134*f**2 - 54*f. Let t(c) = -17*b(c) + 6*p(c). Factor t(k).
-k*(k + 1)*(k + 2)*(k + 3)**2
Let k(x) be the first derivative of 0*x + 3 - 1/12*x**4 + 1/120*x**5 + 0*x**2 + 1/360*x**6 + 4/3*x**3. Let h(z) be the third derivative of k(z). Factor h(p).
(p - 1)*(p + 2)
Let g(n) be the second derivative of -n**6/10 - 9*n**5/20 + 3*n**4/4 + 11*n**3/2 + 9*n**2 + 39*n. Factor g(j).
-3*(j - 2)*(j + 1)**2*(j + 3)
Let y(h) be the second derivative of h**5/70 - 3*h**4/14 + 20*h**3/21 - 12*h**2/7 - 28*h - 4. Factor y(w).
2*(w - 6)*(w - 2)*(w - 1)/7
Determine g, given that 14*g + 147 + 1/3*g**2 = 0.
-21
Suppose 0*k + 6*k = 0. Factor -35*u**2 - 4*u**3 - 4*u + 43*u**2 + k*u**3.
-4*u*(u - 1)**2
Suppose -5*p = 2*b - 0*p - 54, -108 = -4*b - 5*p. Let l = b - 21. Find k, given that 18 + 0*k + 24 - l*k**2 - 38 + 2*k = 0.
-2/3, 1
Let c(x) be the third derivative of 1/40*x**6 + 20*x**2 + 0*x + 3/20*x**5 - 1/2*x**4 + 0 + 0*x**3. Factor c(k).
3*k*(k - 1)*(k + 4)
Let c(m) be the third derivative of m**5/150 - m**4/6 + 3*m**3/5 - 124*m**2. Factor c(h).
2*(h - 9)*(h - 1)/5
Let n(x) = x + 3. Let b(g) = 4*g**2 - 7*g + 23. Let u(k) = b(k) - 5*n(k). Find c such that u(c) = 0.
1, 2
Let x(s) = -s**3 + 7*s**2 + 2*s + 50. Let t be x(8). Factor 1/2*i + 1/2*i**3 + i**t + 0.
i*(i + 1)**2/2
Let g(a) be the first derivative of 0*a**2 - 3/5*a**5 - 34 + 9/4*a**4 + 0*a**3 + 0*a. Suppose g(h) = 0. Calculate h.
0, 3
Let h(v) be the second derivative of 11*v - 1/7*v**2 + 0 - 1/14*v**3 - 1/84*v**4. Determine a, given that h(a) = 0.
-2, -1
Factor 3/7*u**2 - 24/7*u + 3.
3*(u - 7)*(u - 1)/7
Suppose 29*z**2 - 56*z**2 + 43*z**2 - 32 - 2*z**4 = 0. What is z?
-2, 2
Suppose -15 = -6*f + 15. Suppose -3 = m, 0 = -w + f*m - 14 + 31. Find u such that -12*u**w + 10*u**2 + 8*u - 2*u**2 = 0.
0, 2
Let t(z) be the first derivative of 3*z**4/4 + 3*z**3 - 9*z**2 - 24*z - 307. Find p such that t(p) = 0.
-4, -1, 2
Let z(x) be the second derivative of x**7/28 + x**6/10 - 44*x. Suppose z(s) = 0. Calculate s.
-2, 0
Let g(b) be the third derivative of 8*b + 7/240*b**5 + 0 - 1/6*b**4 - b**2 + 1/2*b**3 - 1/480*b**6. Determine u, given that g(u) = 0.
2, 3
Let i(s) be the second derivative of -s**4/6 - s**3/3 + 2*s**2 + 2*s. Let c(o) = -o. Let q = -30 - -34. Let y(k) = q*c(k) - i(k). Determine u so that y(u) = 0.
-1, 2
Suppose -12*c + 242 = 218. Factor -1/2*v**c + 1/2 + 0*v.
-(v - 1)*(v + 1)/2
Let n(x) = -3*x**3 - 16*x**2 + 52*x - 31. Let y(j) = j**3 - 2*j - 1. Let z(t) = -n(t) - 5*y(t). Factor z(v).
-2*(v - 3)**2*(v - 2)
Let d be 10/150 + -2 + (-33)/(-15). Let m(k) be the first derivative of d*k**3 - 6 - 1/15*k**6 - 2/25*k**5 - 2/5*k + 1/5*k**4 - 1/5*k**2. Factor m(i).
-2*(i - 1)**2*(i + 1)**3/5
Solve 0 + 0*j - 28/11*j**2 - 2/11*j**3 = 0.
-14, 0
Suppose 0 = -50*o + 3 + 197. Let k(q) be the first derivative of 0*q**2 + 12*q - 3/4*q**o - 6 - 3*q**3. Factor k(a).
-3*(a - 1)*(a + 2)**2
Let v(p) be the second derivative of p**7/105 - p**5/30 - p**2/2 - 12*p. Let k(f) be the first derivative of v(f). Determine o so that k(o) = 0.
-1, 0, 1
Let q = -21 - -26. Factor 0*z**2 - z**2 - 5*z**4 - q*z**3 + 10*z**2 + z**2.
-5*z**2*(z - 1)*(z + 2)
Let r(z) be the first derivative of -z**3 + 0*z**4 + 5 + 1/120*z**6 + 1/40*z**5 + 0*z + 0*z**2. Let o(l) be the third derivative of r(l). Factor o(d).
3*d*(d + 1)
Let u(q) be the first derivative of q**4/8 + 5*q**3/4 + 9*q**2/2 + 11*q - 26. Let v(i) be the first derivative of u(i). Let v(p) = 0. Calculate p.
-3, -2
Let w(l) be the third derivative of -l**10/151200 - l**9/37800 - l**8/33600 + 7*l**4/8 + 29*l**2. Let r(p) be the second derivative of w(p). Factor r(j).
-j**3*(j + 1)**2/5
Let u(p) be the second derivative of -1/7*p**3 - 1/28*p**4 + 9/14*p**2 + 0 + 2*p. Factor u(l).
-3*(l - 1)*(l + 3)/7
Let d(o) = -2*o + 3*o**3 - 2*o**3 + 31*o**2 + 48 - 55*o**2. Let l be d(24). Find i such that 3/8*i**4 + 0*i - 3/8*i**3 + l + 0*i**2 = 0.
0, 1
Let v(d) be the third derivative of -d**6/30 + 19*d**5/15 - 33*d**4/2 + 54*d**3 - 13*d**2 - 27. Factor v(u).
-4*(u - 9)**2*(u - 1)
Factor 8 + 47/5*h - 11/5*h**2.
-(h - 5)*(11*h + 8)/5
Let z(t) be the third derivative of t**8/336 - 2*t**7/105 + 7*t**5/30 - 17*t**4/24 + t**3 - 244*t**2. Suppose z(n) = 0. Calculate n.
-2, 1, 3
Suppose 0*n - 10 = 2*n, 5*k = -3*n + 15. Suppose -2*u + 14 = k*h - 2*h, -4*h + 21 = -5*u. Determine y so that -h*y - 41*y**2 + 39*y**2 + 2*y = 0.
-1, 0
What is g in 2/5*g**2 - 36/5 + 6/5*g = 0?
-6, 3
Let m be (7/(-21))/((-2)/3). Let n(k) be the second derivative of 0 + 1/36*k**4 - 6*k - 5/18*k**3 + m*k**2 + 1/60*k**5. Find o, given that n(o) = 0.
-3, 1
Let c = -1/140 + 9/35. Factor 1/4*b**2 + 1/2*b + c.
(b + 1)**2/4
Let s(w) be the third derivative of -w**6/240 + w**5/8 - 9*w**4/16 + 13*w**3/12 - 52*w**2. Suppose s(j) = 0. Calculate j.
1, 13
Solve 6*u**3 - 132/5*u - 86/5*u**2 - 16/5 = 0 for u.
-1, -2/15, 4
Let z be (-1968)/(-270) + (-6)/(-54) + -7. Solve -4/5*u + 2/5 + z*u**2 = 0.
1
Let b(h) = h**3 - 4*h**2 - 4. Let j be b(4). Let z be (-1)/1*(-11)/((-11)/j). Suppose 2/5 + 11/5*i**3 + 9/5*i + 3/5*i**z + 3*i**2 = 0. What is i?
-1, -2/3
Let m(a) = -a**2 + 3*a + 12. Let x be m(5). Suppose -x*w = -54 - 110. Factor -3*q - 36 - 40 + w - 3*q**2.
-3*(q - 1)*(q + 2)
Let i be 109/69 + 40/1150*(-10)/(-4). Let -i*a**3 + 3*a**2 + 2/3 + 1/3*a**4 - 7/3*a = 0. Calculate a.
1, 2
Let g(l) be the second derivative of 0*l**2 - 1/32*l**4 + 20*l + 0 - 1/4*l**3. Factor g(z).
-3*z*(z + 4)/8
Determine o so that -4/5*o**3 - 23/5*o**2 + 0 + 6/5*o = 0.
-6, 0, 1/4
Suppose -95 = -74*r + 90 - 37. Factor -r*w**2 - 16/5*w - 6/5.
-2*(w + 1)*(5*w + 3)/5
Factor -1/4*w**2 - 9/4 - 5/2*w.
-(w + 1)*(w + 9)/4
Let m = -3 - -7. Suppose 2*j + m*k - k - 32 = 0, j - k - 16 = 0. Suppose 17 + 36*t - 43 - j*t**2 + 18 = 0. What is t?
1/4, 2
Determine y so that 17*y**2 + 6050 + 8*y**2 - 21*y**2 - 220*y - 2*y**2 = 0.
55
Let h(a) be the third derivative of -a**6/720 - a**5/36 - a**4/6 + 99*a**2 - a. Let h(t) = 0. Calculate t.
-6, -4, 0
Let z(x) be the second derivative of -x**6/10 - 6*x**5/5 + 15*x**4/2 - 16*x**3 + 33*x**2/2 + 48*x - 2. Factor z(k).
-3*(k - 1)**3*(k + 11)
Suppose -d + 1 = -9. Suppose 2*p = 3*y - d - 1, 4*y - 5*p - 10 = 0. Factor 2*t**3 - 3*t**y + 3*t**4 - 4*t**3 + 2*t**3.
-3*t**4*(t - 1)
Let d = 131 - 119. Find g, given that -12*g**4 + d*g**2 + 6*g + 13*g**5 - 14*g + 10*g**5 + 4*g**3 - 19*g**5 = 0.
-1, 0, 1, 2
Let s = -2874 + 2876. Let p be 2/(0 + 11/1). Factor 0 - p*x**s + 4/11*x.
-2*x*(x - 2)/11
Let l(b) be the second derivative of -2*b**6/15 - 3*b**5/10 + b**4/3 + b**3 + b - 169. What is j in l(j) = 0?
-3/2, -1, 0, 1
Let c be ((-9)/(-2) - 1) + 33152/(-12544). Factor -4/7*z + 2*z**4 + 6/7*z**3 + 0 + c*z**5 - 6/7*z**2.
2*z*(z + 1)**3*(3*z - 2)/7
Let p(z) be the first derivative of -z**5/120 - z**4/8 - 2*z**3/3 - 4*z**2/3 - 13*z + 3. Let b(v) be the first derivative of p(v). Find m such that b(m) = 0.
-4, -1
Let k(u) be the second derivative of 0 + 3/20*u**5 - 5*u + 3/2*u**3 - u**4 + 0*u**2. Factor k(j).
3*j*(j - 3)*(j - 1)
Factor 2657 - x**2 + 2*x + x - 2659.
-(x - 2)*(x - 1)
Determine k, given that 1306*k**4 + 59*k - 604*k**3 - 22 - 15 + 1 - 479*k + 1024*k**5 - 1372*k**2 + 102*k**4 = 0.
-1, -3/16, 1
Let a(c) be the second derivative of -5*c**4/12 + 15*c**3 - 405*c**2/2 - 47*c - 1. Determine i so that a(i) = 0.
9
Solve -12/5*y**2 - 8/5*y**3 + 4/5*y**4 + 16/5 + 16/5*y = 0 for y.
-1, 2
Suppose -3*s + 20*p - 24*p = 0, -s = -p. Let m(z) be the third derivative of 0 + 3*z**2 + s*z + 1/6*z**4 + 1/15*z**5 + 0*z**3. Factor m(r).
4*r*(r + 1)
Let m = -1006 + 17104/17. Let 14/17*c**3 + 0*c + m*c**5 + 10/17*c**4 + 0 + 6/17*c**2 = 0. Calculate c.
-3, -1, 0
Factor -2*b**2 - 18*b - 24 - 37*b + 41*b.
-2*(b + 3)*(b + 4)
Factor 21 - 41 - 3*r + r**2 + 16.
(r - 4)*(r + 1)
Factor -10*f**3 + 60*f**4 + 82*f**3 - 50*f**5 + 5*f**2 - 3*f**2 + 14*f**2.
-2*f**2*(f - 2)*(5*f + 2)**2
Determine z so that 25*z + 268*z + 6 - 69*z + 12*z**2 + 138 = 0.
-18, -2/3
Let o(c) be the second derivative of -c**4/84 - 11*c**3/42 - 15*c**2/7 + 200*c. Factor o(j).
-(j + 5)*(j + 6)/7
Let s(f) be the third derivative of f**6/24 + 4*f**5/3 - 5*f**4/24 - 40*f**3/3 + 2*f**2 - 17*f. Suppose s(t) = 0. What is t?
-16, -1, 1
Suppose -o = 3*q + 15, -5*q - o - 20 = 3. Let r 