28*w**2.
4*w*(w + 2)*(w + 29)**2
Let s(c) = 3*c**2 - 3*c + 9. Let h be s(6). Suppose -p + 42 + 123 = 4*d, 2*d + 4*p = 100. What is f in 19 - 5*f**2 + 0*f**2 - d*f - h = 0?
-4
Let y(t) be the second derivative of t**4/30 + 26*t**3/15 + 48*t**2/5 + 727*t. Solve y(z) = 0 for z.
-24, -2
Let u(m) be the first derivative of -m**4/6 - 2*m**3/3 - m**2 + 10*m + 15. Let c(l) be the first derivative of u(l). Factor c(t).
-2*(t + 1)**2
Let l(s) be the second derivative of -s**8/3360 - s**7/1260 + s**6/360 + s**5/60 + 2*s**4/3 + 11*s. Let m(i) be the third derivative of l(i). Factor m(x).
-2*(x - 1)*(x + 1)**2
Let k(f) be the third derivative of -10*f**2 - 1/448*f**8 + 1/560*f**7 + 0*f - 1/160*f**5 + 0*f**3 + 1/160*f**6 + 0 + 0*f**4. What is x in k(x) = 0?
-1, 0, 1/2, 1
Suppose -2/7*d**2 - 2/21*d**3 - 2/21 - 2/7*d = 0. Calculate d.
-1
Let h(g) = -g**3 - 2*g**2 + g. Let c be h(-3). Suppose -12 = -3*s + 2*p + 3, 4*s + 2*p - c = 0. Factor i + s*i**2 + 6*i - 3*i - i.
3*i*(i + 1)
Let u(h) be the first derivative of -8 - 1/6*h**6 - 3/5*h**5 + 2/3*h**3 + 3/2*h**2 - 1/2*h**4 + h. Solve u(k) = 0 for k.
-1, 1
Let a(q) = q**3 - 5*q**2 - 8*q + 21. Let b(t) = -t**2 + t + 3. Let o(y) = a(y) - 3*b(y). Determine j so that o(j) = 0.
-3, 1, 4
Let y = 68 - 41. Factor y - 2*o**3 - 16 - 2*o**4 - 11.
-2*o**3*(o + 1)
Let n(g) = -30*g**3 + 190*g**2 - 215*g + 50. Let z(l) = -27*l**3 + 189*l**2 - 217*l + 51. Let y(o) = 4*n(o) - 5*z(o). Determine a so that y(a) = 0.
1/3, 1, 11
Let j(z) be the second derivative of -z**4/12 - 13*z**3/6 - 6*z**2 + 39*z. Let t be j(-12). Factor 2/9*g**2 + 0*g + t.
2*g**2/9
Let h be (-2)/(-72)*3 + (-120)/(-288). Let m(d) be the first derivative of 0*d**2 + 0*d + 7 + 3/8*d**4 + h*d**3. Factor m(q).
3*q**2*(q + 1)/2
Suppose -4*r = 2*d + 30, -3*d = -r + 3*r + 17. Let i = -4 - r. Find c, given that 4/11*c**i - 2/11*c**4 + 0*c - 2/11*c**2 + 0 = 0.
0, 1
Let s(a) be the first derivative of -a**7/1470 + a**6/210 + a**5/210 - a**4/14 + 6*a**3 - 13. Let i(o) be the third derivative of s(o). Factor i(y).
-4*(y - 3)*(y - 1)*(y + 1)/7
Let j(h) be the third derivative of 2*h**2 - 1/30*h**6 + 1/6*h**4 + 2/3*h**3 + 0 - 1/15*h**5 + 0*h. Factor j(z).
-4*(z - 1)*(z + 1)**2
Suppose -15*x + 18*x - 12 = 0. Factor -3*g**x + 8*g**4 - 7*g**4.
-2*g**4
Find l, given that -94*l**2 + 10082/3 + 2/3*l**3 + 3266*l = 0.
-1, 71
Let a = 2628 - 2625. Factor 6/5*t - 6/5*t**2 - 2/5 + 2/5*t**a.
2*(t - 1)**3/5
Let i(r) be the second derivative of -1/10*r**6 + 6*r + 0*r**3 + 1/14*r**7 + 0*r**4 + 0*r**2 + 0 + 0*r**5. Factor i(g).
3*g**4*(g - 1)
Let w(f) be the third derivative of -f**8/1680 + 19*f**7/350 - 261*f**6/200 - 841*f**5/300 + 7*f**2. Factor w(x).
-x**2*(x - 29)**2*(x + 1)/5
Let b be (-11)/22*(8*2)/(-2). Factor -b*h**3 + 12*h**2 + 8 - 69*h + 51*h + 2*h**3.
-2*(h - 4)*(h - 1)**2
Suppose 89 = 13*t + 24. Let z(d) be the second derivative of 5/48*d**4 - 1/12*d**3 + 0*d**2 + 1/40*d**5 + 0 - 1/24*d**6 - t*d. Find y such that z(y) = 0.
-1, 0, 2/5, 1
Let r(p) = p**3 + p**2 - 1. Let h(k) be the second derivative of -21*k**5/20 - 7*k**4/2 - 9*k**3/2 - 22*k. Let f(d) = h(d) + 6*r(d). Factor f(o).
-3*(o + 1)**2*(5*o + 2)
Let c(m) = -15*m**3 - 9*m**2 + 24*m - 18. Let k(d) = d - 1. Let q(g) = -g**3 + 7*g - 7. Let p(t) = -6*k(t) + q(t). Let u(j) = -c(j) + 18*p(j). Factor u(a).
-3*a*(a - 2)*(a - 1)
Let c(f) = -5*f**2 - 241*f - 6731. Let w(j) = 6*j**2 + 244*j + 6732. Let p(v) = -4*c(v) - 3*w(v). Suppose p(o) = 0. Calculate o.
-58
Suppose -2*i**3 + 0 + 44/9*i**2 + 0*i - 2/9*i**4 = 0. What is i?
-11, 0, 2
Let q(o) be the third derivative of -o**5/60 - 17*o**4/24 - 8*o**3/3 - 161*o**2. Determine t so that q(t) = 0.
-16, -1
Let w = 6509/1015 - 267/145. Determine t so that -w + 0*t**3 + 16/7*t**2 - 2/7*t**4 + 0*t = 0.
-2, 2
Let q(c) be the second derivative of -c**5/40 - c**4/4 - 2*c**3/3 + 81*c - 1. Determine r so that q(r) = 0.
-4, -2, 0
Let s(p) be the second derivative of p**9/25704 + p**8/7140 - p**6/1530 - p**5/1020 + 4*p**3/3 + 15*p. Let c(y) be the second derivative of s(y). Factor c(u).
2*u*(u - 1)*(u + 1)**3/17
Let d(g) be the first derivative of -21*g**6/4 + 243*g**5/5 - 159*g**4/4 + 26*g**3/9 + 79*g**2/12 - 7*g/3 + 306. Determine m so that d(m) = 0.
-2/7, 1/3, 7
Suppose -3/4*c**5 + 15*c**2 - 3/2*c**4 + 57/4*c + 9/2*c**3 + 9/2 = 0. Calculate c.
-2, -1, 3
Solve -3 + 0*f**3 + 17/2*f - 7*f**2 + 2*f**4 - 1/2*f**5 = 0.
-2, 1, 3
Let v(s) = 2*s**2 - 3*s - 1. Let u be v(2). Let h(p) be the first derivative of 2/3*p**3 - u + 0*p - 1/2*p**2 - 1/4*p**4. Factor h(l).
-l*(l - 1)**2
Let u(o) be the third derivative of -1/105*o**7 + 0 - 1/6*o**5 - 1/6*o**4 + 0*o + 0*o**3 - 55*o**2 - 1/15*o**6. Factor u(n).
-2*n*(n + 1)**2*(n + 2)
Factor 751 + 3*t**3 + 48*t - 24*t**2 - 751.
3*t*(t - 4)**2
Find j, given that 30*j - 6*j - 20 - 510*j**2 + 506*j**2 = 0.
1, 5
Let i = -32 - -50. Let j be i/24*4/24. Find x such that 0 - 1/8*x**2 - 1/8*x**5 + 1/8*x**4 + 0*x + j*x**3 = 0.
-1, 0, 1
Let v(y) be the first derivative of -y**6/12 + 8*y**5/3 - 475*y**4/24 - 45*y**3 + 35*y**2/3 + 196*y/3 + 66. Find g such that v(g) = 0.
-1, 2/3, 14
Let j(a) = -1. Let z(g) be the first derivative of -2*g**3/3 - 2*g**2 + 2*g + 18. Let t(x) = 2*j(x) + z(x). Factor t(n).
-2*n*(n + 2)
Suppose -4*u + 17 = 1. Suppose 0 = -2*t - u, 2*z + t = 2*t + 10. Determine y, given that -39*y**4 - z*y**5 - 3*y**3 - y**3 + 47*y**4 = 0.
0, 1
Let -2/3 + 2/3*m**2 - 2/9*m**3 + 2/9*m = 0. What is m?
-1, 1, 3
Suppose -4*i + 4*m = -40, -14 = -2*i - 201*m + 202*m. Determine d, given that -18/13*d**i + 192/13*d**3 - 44*d**2 + 320/13*d - 50/13 = 0.
1/3, 5
Let r(v) = -19*v + 401. Let l be r(21). Factor 0 - 8/9*h**4 - 4/9*h - 16/9*h**l - 20/9*h**3.
-4*h*(h + 1)**2*(2*h + 1)/9
Let s be 3/(2/(44/33)). Let q(x) be the first derivative of -11 + 0*x - 1/3*x**3 - 1/2*x**s. Determine h, given that q(h) = 0.
-1, 0
Let u(b) = b**3 - 8*b**2 - 19*b - 7. Let d be u(10). Factor -6*s - 4*s**d - 3*s + 2*s - s + 12*s**2.
-4*s*(s - 2)*(s - 1)
Let f(z) be the third derivative of z**5/60 - z**4/24 - 5*z**2. Let l be f(2). Factor -4*d**2 - d + 4*d + 6*d**l + d + 2.
2*(d + 1)**2
Let j(w) be the third derivative of 0*w + 85/24*w**4 + 1/42*w**7 + 0 + 5*w**3 + 17/12*w**5 + 15*w**2 + 7/24*w**6. Factor j(v).
5*(v + 1)**2*(v + 2)*(v + 3)
Let o(d) be the second derivative of -d**5/80 - 17*d**4/48 - 25*d**3/8 - 99*d**2/8 - 8*d - 4. Factor o(i).
-(i + 3)**2*(i + 11)/4
Let u = -207 - -207. Let z(b) be the first derivative of 0*b**3 + 2 + 0*b**5 + 1/36*b**6 + 0*b**2 + u*b - 1/24*b**4. Factor z(g).
g**3*(g - 1)*(g + 1)/6
Let o(d) = 3*d**2 - 1. Let m(a) = -21*a**2 + 312*a - 8106. Let y(l) = m(l) + 6*o(l). Determine q so that y(q) = 0.
52
Let h be 4/560*-734 + 6. Let n = h - 5/14. Solve -2/5*x**2 + 4/5*x**3 - n*x + 0 = 0.
-1/2, 0, 1
Determine q so that 18*q + 57*q**2 - 264/7 + 9/7*q**3 = 0.
-44, -1, 2/3
Let n(y) be the second derivative of 3/2*y**2 - 2*y**3 - 3/5*y**5 - 6*y + 3/2*y**4 + 0 + 1/10*y**6. Solve n(b) = 0.
1
Suppose 2*b - b = -2*v - 12, 2*v - 4*b - 8 = 0. Let o be ((-13)/v + -3)*12. Factor 3*q**4 + 6*q**3 + 0*q - o + 0*q - 6*q.
3*(q - 1)*(q + 1)**3
Let 27/4*j + 3/4*j**4 - 3/4*j**3 + 0 - 27/4*j**2 = 0. Calculate j.
-3, 0, 1, 3
Let k(q) be the first derivative of -q**3/7 - 132*q**2/7 - 5808*q/7 - 95. What is s in k(s) = 0?
-44
Suppose y + 2*l + 6 = 0, 4*y - 5*l - 25 - 16 = 0. Suppose -r - y = 0, 7*j - 4*j - 3*r - 12 = 0. Factor -3/5*h**2 + j - 6/5*h.
-3*h*(h + 2)/5
Let j(s) = -2*s - 20. Let o be j(11). Let f = o - -44. Factor 8/7*b - 2/7*b**f - 8/7.
-2*(b - 2)**2/7
Let n(g) be the second derivative of -13/9*g**4 + 1/3*g**5 - 44*g + 8/9*g**3 + 0 + 8/3*g**2. Suppose n(i) = 0. What is i?
-2/5, 1, 2
Suppose 5*u = 3*u + 102. Let m = 51 - u. Solve -1/6*h**3 + 0*h**2 + 0 + m*h**4 + 0*h + 1/6*h**5 = 0.
-1, 0, 1
Suppose -2998*s + 120 = -2958*s. Factor -9/5 - 6*o + 5*o**4 + 6*o**s - 16/5*o**2.
(o - 1)*(o + 1)*(5*o + 3)**2/5
Let m(n) be the second derivative of -n**4/18 + 236*n**3/9 - 13924*n**2/3 + 262*n + 1. Let m(t) = 0. What is t?
118
Suppose -4*a - c - 8 = -7*a, 5*a + 4*c - 2 = 0. Determine i so that 30 + 3*i**3 - 5*i - 20*i**2 + a*i**3 - 10*i**3 = 0.
-3, -2, 1
Solve 80/3*v**2 + 128/9*v + 2/9*v**4 - 14/3*v**3 - 1024/3 = 0 for v.
-3, 8
Solve 400/3*s + 112/3 + 3*s**4 + 52*s**3 + 448/3*s**2 = 0.
-14, -2, -2