et n be -2*(-3 + -1 + 1 + 2). Determine l, given that -5*l**2 + n + 0 - 2 = 0.
0
Let s = 75 - 68. Suppose s*g + 1 = 15. Factor 2/3*u - 2/3*u**g + 4/3.
-2*(u - 2)*(u + 1)/3
Let -19440*b + 11*b**4 - 7*b**4 - 4944 + 3672*b**2 - 18384 - 212*b**3 = 0. Calculate b.
-1, 18
Solve -120*h**3 - 132*h + 34*h**4 + 211*h**2 - 4*h**5 - 27*h**2 + 2*h**4 + 36 = 0 for h.
1, 3
Let o be 3906/486 - 6/(-81) - 8. Factor -5/9*i**4 + 0 - 2/9*i - 7/9*i**2 - i**3 - o*i**5.
-i*(i + 1)**3*(i + 2)/9
Suppose 4*c + 200 = g + 2*g, -3*c + g = 155. Let k = c - -53. Solve k*l + 3/7*l**2 - 3/7 = 0 for l.
-1, 1
Let g(o) = -3*o**2 + 329*o + 607. Let l(h) = -3*h**2 + 330*h + 618. Let p(r) = 6*g(r) - 7*l(r). Factor p(b).
3*(b - 114)*(b + 2)
Let h be (1 - (1 - -1)) + 4. What is l in -3*l**2 - 2*l**4 - l**h + 4*l**4 + 2 + l - l**4 = 0?
-1, 1, 2
Let y(s) be the first derivative of -14/25*s**5 + 0*s + 2/15*s**6 + 39 + 1/5*s**2 - 2/3*s**3 + 9/10*s**4. Let y(u) = 0. Calculate u.
0, 1/2, 1
Let g(n) = 11*n**4 + n**3 - 54*n**2 + 146*n - 80. Let t(i) = -10*i**4 + 55*i**2 - 145*i + 80. Let q(s) = -5*g(s) - 6*t(s). Factor q(c).
5*(c - 2)**2*(c - 1)*(c + 4)
Let s(b) = -21*b**2 + 33*b - 6. Suppose 0 = 2*d - i - 2, 4*i = -3*d + 5*d - 2. Let o(z) = z. Let y(u) = d*s(u) - 6*o(u). Factor y(r).
-3*(r - 1)*(7*r - 2)
Let c(v) = v**3 + 37*v**2 - 5*v - 183. Let f be c(-37). Factor 2/13*h**4 + 0*h**3 - 4/13*h - 6/13*h**f + 0.
2*h*(h - 2)*(h + 1)**2/13
Suppose 4*k + 1 = 5*k, 4*k = -4*q + 16. Let o = -193/5 - -39. Factor o*b**4 + 0*b**q + 0 + 0*b - 2/5*b**2.
2*b**2*(b - 1)*(b + 1)/5
Suppose -4*m + 8 = -0. Suppose 2*y + 0*d - 4*d = -10, 5*d = -2*y + 26. Solve 16*i - 4 - 4 + 0*i**3 - 10*i**m + 2*i**y = 0.
1, 2
Let g(z) = -23*z - 111. Let r be g(-5). Let a(f) be the second derivative of -1/20*f**5 - 1/2*f**2 + 0 - 6*f + 1/12*f**r + 1/6*f**3. Factor a(k).
-(k - 1)**2*(k + 1)
Let m(k) = 2*k**3 + k**2 - 2*k + 5. Let f be m(2). Factor -f*d**2 + 7*d**2 - 4*d**3 + 4*d + 14*d**2.
-4*d*(d - 1)*(d + 1)
Let t(o) be the first derivative of -o**4/30 - o**3/15 + 2*o**2/5 + 7*o + 12. Let j(r) be the first derivative of t(r). Factor j(b).
-2*(b - 1)*(b + 2)/5
Let u be 16/10 + (-6)/(-15). Let 5*r**2 + 32*r - r**u - 24*r = 0. What is r?
-2, 0
Let y(b) = -5*b**4 - 17*b**3 - 29*b**2 - 31*b - 14. Let a(i) = -4*i**4 - 15*i**3 - 28*i**2 - 30*i - 13. Let o(c) = 4*a(c) - 3*y(c). Solve o(k) = 0 for k.
-5, -2, -1
Let d be 15/60*(-8)/(-1). Factor 20*g - 54*g**d + 6*g**3 + 19*g**3 + 14*g**2 - 5*g**4.
-5*g*(g - 2)**2*(g - 1)
Suppose 2*m = -2*o + 4, 34 = 3*o - 2*m + 23. Let q(d) be the first derivative of -1/5*d - 1/10*d**2 + 1/20*d**4 + 1/15*d**o - 6. Factor q(u).
(u - 1)*(u + 1)**2/5
Let m(c) be the second derivative of -c**6/40 + 23*c**5/160 + c**4/24 - 87*c. Factor m(i).
-i**2*(i - 4)*(6*i + 1)/8
Let u(m) be the third derivative of -m**6/270 + 56*m**5/135 - 31*m**4/2 + 108*m**3 + 53*m**2 + 2*m. Find q such that u(q) = 0.
2, 27
Let n(j) = -4*j**2 + 6*j + 48. Let z be n(10). Let d = -868/3 - z. What is c in -1/3*c**2 - d*c**3 - c**4 + 8/3*c + 4/3 = 0?
-2, -1, -2/3, 1
Let r(a) = a**2 + 64*a - 144. Let h(i) = -65*i + 145. Let m(y) = -4*h(y) - 5*r(y). Let m(j) = 0. Calculate j.
-14, 2
Factor 224/5*v + 6*v**3 + 2/5*v**4 + 144/5*v**2 + 0.
2*v*(v + 4)**2*(v + 7)/5
Solve -3201 + 0*g**5 - 21*g**3 + 9*g**4 - 2*g**5 + 54*g + 2*g**5 + 3177 - 21*g**2 + 3*g**5 = 0.
-4, -2, 1
Let u(w) be the third derivative of 3/320*w**6 + 1/8*w**4 - 4*w**2 + 1/12*w**3 + 0*w + 29/480*w**5 + 0. Find n such that u(n) = 0.
-2, -1, -2/9
Let o(h) be the second derivative of h**5/10 - 35*h**4/6 + 128*h**3/3 - 124*h**2 - 228*h - 2. Factor o(z).
2*(z - 31)*(z - 2)**2
Let t be (-68)/(-18) - (-48)/216. Suppose 4/7*m**3 + 0*m + 0 + 2/7*m**2 + 2/7*m**t = 0. What is m?
-1, 0
Let d(r) be the third derivative of 0*r**3 + 0 - 4/3*r**7 - 28/15*r**5 - 2/3*r**4 + 0*r - 23/10*r**6 + 17*r**2 - 25/84*r**8. Factor d(b).
-4*b*(b + 1)**2*(5*b + 2)**2
Let j(a) = -8*a**2 + 11*a - 11. Suppose 4*u - 7 - 1 = 0. Let q(l) = l - l**u + 18 + 8 - 27 + 0*l. Let x(h) = 4*j(h) - 28*q(h). Factor x(f).
-4*(f - 2)**2
Let z(n) = 9*n - 43. Let g be z(5). Factor 502*a + 17*a**2 + 5*a**3 - 462*a + 8*a**g + 20.
5*(a + 1)*(a + 2)**2
Let r(c) be the first derivative of 2*c**3/9 + 5*c**2/7 + 4*c/21 - 189. Suppose r(f) = 0. Calculate f.
-2, -1/7
Factor 12*s**4 - 26*s**2 - 12*s**2 + 3*s - 21*s**3 + 44*s**2.
3*s*(s - 1)**2*(4*s + 1)
Let u(m) be the second derivative of 4/7*m**3 + 4/7*m**2 + 3/35*m**5 + 0 + 28*m + 1/105*m**6 + 13/42*m**4. Suppose u(b) = 0. Calculate b.
-2, -1
Let g(s) be the second derivative of 4*s**4 + 128/5*s**2 - 13/25*s**5 + 2/75*s**6 - 37*s + 0 - 224/15*s**3. Factor g(i).
4*(i - 4)**3*(i - 1)/5
Let w = -821/5 - -165. Let p(n) be the first derivative of 4*n - w*n**5 - 6 - 2*n**4 + 4*n**2 + 0*n**3. Find j, given that p(j) = 0.
-1, 1
Let n = -1319/7 - -189. Let j(y) be the first derivative of 1/7*y**6 - 11/7*y**2 - 12/7*y**3 - n*y + 4 - 4/7*y**4 + 8/35*y**5. Let j(k) = 0. Calculate k.
-1, -1/3, 2
Factor -2*r**3 + 68*r**2 - 4*r**2 - 796*r + 226*r - 83 + 983.
-2*(r - 15)**2*(r - 2)
Suppose -2*q + 5*q = 9. Let 12*c - q*c**3 + 8 - 2 + 2 - c**3 = 0. What is c?
-1, 2
Suppose -8/3 + 68/9*s - 68/9*s**2 + 28/9*s**3 - 4/9*s**4 = 0. What is s?
1, 2, 3
Let b(g) = g**2 - 4*g + 8. Let m be b(6). What is x in -18*x + 36*x**2 + 4*x**4 - 21*x - m*x**3 + 8 + 11*x = 0?
1, 2
Let g(b) = -b**3 + 11*b**2 - 34*b + 144. Let j be g(9). Find i such that 2/3*i**3 + j + 2/3*i + 4/3*i**2 = 0.
-1, 0
Let y(b) = -4*b - 3. Let i be y(-3). Let g = i - 7. Determine x so that -x**g - 14*x**2 + 6*x**4 + 0*x**4 + 6*x - 6*x**5 + 9*x**4 = 0.
-1, 0, 1/2, 1, 2
Let w(g) = g**3 - 5*g**2 - 11*g - 10. Let s be w(7). What is f in s*f**3 + 14*f**3 + 5*f**3 + 250*f - 150*f**2 - 2*f**4 = 0?
0, 5
Suppose 3*l - 6 = -18. Let n be (2/l)/((-20)/(-136)*-1). Factor n*u**2 + 16/5*u + 4/5 + u**3.
(u + 1)*(u + 2)*(5*u + 2)/5
Suppose 22 = 16*t - 5*t. Find r such that -4*r**3 + 21*r**2 + 4*r + 4*r**2 - 6*r**t - 16 - 3*r**2 = 0.
-1, 1, 4
Let o(m) = 2*m**3 + m**2 - 4. Let i(h) = 7*h**3 - 43*h**2 - 75*h + 106. Let w(k) = -i(k) + 5*o(k). Find n such that w(n) = 0.
-14, -3, 1
Suppose 3*k + 6*k = -315. Let o be 1/7 - 100/k. Factor -4/7*i**2 + 2/7 + 2/7*i**4 + 0*i**o + 0*i.
2*(i - 1)**2*(i + 1)**2/7
Let h(v) = 2*v**3 + 17*v**2 + 21*v + 104. Let c be h(-8). Factor 0 + 2*d**2 + 2/3*d**3 + c*d.
2*d**2*(d + 3)/3
Let g = 5 - 13. Let f(a) = -a. Let c be f(g). Suppose -12*y**2 - 2*y - 8*y**2 + c + 16*y**3 - 26*y = 0. Calculate y.
-1, 1/4, 2
Let x(v) = 3*v**2 - 48*v - 49. Let d be x(-1). Factor -4/5*s**d - 2/5*s**3 + 4/5 + 2/5*s.
-2*(s - 1)*(s + 1)*(s + 2)/5
Let d = 20 - 16. Suppose 4*l - 2 = 2*l + 2*p, 3*l + d*p = 17. Determine y so that -8*y**2 - y**3 + l*y**2 + 8*y**2 - 6*y + 4*y = 0.
0, 1, 2
Let z = 7247/3256 - 13/296. Factor -2/11*c**2 - z*c - 72/11.
-2*(c + 6)**2/11
Let u(f) = 2*f**3 - f**2 - 16*f + 22. Let x be u(2). Factor w**4 + 0*w - w**x + 0 - 1/2*w**3 + 1/2*w**5.
w**2*(w - 1)*(w + 1)*(w + 2)/2
Let p(n) = 12*n**3 + 12*n**2 - 27*n + 27. Let y(m) = m**3 + m**2 - 2*m + 2. Suppose 3*o = -15 - 66. Let u(a) = o*y(a) + 2*p(a). Factor u(z).
-3*z**2*(z + 1)
Let q(o) be the second derivative of o**7/2520 - o**6/720 + 5*o**4/12 + 16*o. Let m(k) be the third derivative of q(k). Let m(l) = 0. What is l?
0, 1
Suppose 0 = -3*v + l + 7, 236 = -3*l + 233. Factor -4/7*h + 0*h**v + 2/7 - 2/7*h**4 + 4/7*h**3.
-2*(h - 1)**3*(h + 1)/7
Let k be (6/14)/((-2067)/(-1484)). Solve k*w**2 - 6/13 + 10/13*w = 0.
-3, 1/2
Let q = -460 + 462. Let r(z) be the first derivative of -3 + 0*z - z**q + 8/3*z**3. What is t in r(t) = 0?
0, 1/4
Let j(y) be the second derivative of 3*y**5/100 - 17*y**4/10 + 23*y + 2. Solve j(z) = 0 for z.
0, 34
Let h(y) be the second derivative of -y**4/4 + 155*y**3/2 + 2*y - 127. Determine m so that h(m) = 0.
0, 155
Let a(i) = -5*i**2 - 35*i - 9. Let h be a(-6). Let l be (((-90)/16)/3)/(h/(-14)). Determine w, given that 1/4*w**2 - l - w = 0.
-1, 5
Let w(a) be the first derivative of a**5/180 + a**4/18 + 2*a**3/9 + 12*a**2 - 27. Let d(u) be the second derivative of w(u). Factor d(j).
(j + 2)**2/3
Let d(o) be the third derivative of o**6/100 + 2*o**5/75 - o**4/12 - 2*o**3/15 + o**2 + 135*o. Factor d(n).
2*(n - 1)*(n + 2)*(3*n + 1)/5
Let -6/13*z**2 - 2/13*z + 6/13 + 2/13*z**