be the second derivative of z**6/120 - z**5/40 - z**4/48 + z**3/12 + 96*z + 2. Factor n(i).
i*(i - 2)*(i - 1)*(i + 1)/4
Let s(p) be the third derivative of p**6/24 - p**5/4 + 5*p**4/12 - 81*p**2. Factor s(l).
5*l*(l - 2)*(l - 1)
Let k be (-4)/(-6)*1*3. Let x(l) be the first derivative of -4 - 12/5*l**k - 1/5*l**3 - 48/5*l. Suppose x(o) = 0. Calculate o.
-4
Factor 0*l + 2/9*l**2 + 0.
2*l**2/9
Let v(t) be the second derivative of t**7/399 + 7*t**6/285 + 3*t**5/38 + 13*t**4/114 + 4*t**3/57 - t + 10. Solve v(z) = 0 for z.
-4, -1, 0
Let b be -5 - (-13 - -18 - (-62)/(-6)). Let o(n) be the third derivative of 0 - 4/3*n**3 + 0*n + 8*n**2 + b*n**4 - 1/30*n**5. Factor o(t).
-2*(t - 2)**2
Let j = 18463 - 18459. Factor 704/7*n + 388/7*n**2 + 256/7 - 132/7*n**3 + 9/7*n**j.
(n - 8)**2*(3*n + 2)**2/7
Let 0 + z - 5/6*z**2 - 2/3*z**3 = 0. Calculate z.
-2, 0, 3/4
Let n = -1070/7 + 154. Let s(x) be the first derivative of 2/21*x**3 + 8 - n*x**2 + 32/7*x. Factor s(o).
2*(o - 4)**2/7
Suppose -4*z + 540 = -2*f, 0 = 5*f - 7*f. Let m = 135 - z. Let -2/3*v**2 + 2/3 + m*v = 0. Calculate v.
-1, 1
Let i(p) be the third derivative of -p**9/241920 + p**8/40320 - p**7/20160 - 31*p**5/60 + 11*p**2. Let s(n) be the third derivative of i(n). Factor s(k).
-k*(k - 1)**2/4
Determine j, given that -393266 - 9*j**3 + 27*j**2 + 132*j - 105*j**2 + 393386 = 0.
-10, -2/3, 2
Let y(g) be the first derivative of -1/16*g**4 - 1/6*g**3 + 0*g - 12 + 0*g**2 + 1/20*g**5. Factor y(l).
l**2*(l - 2)*(l + 1)/4
Let x be -6*(15/(-9))/5. Let v = 17/4 - 43/12. Factor 4/9 + 2/9*j**x - v*j.
2*(j - 2)*(j - 1)/9
Let a(o) be the second derivative of -o**5/20 + o**4/12 + o**3/6 - o**2/2 + 2*o + 20. Determine h so that a(h) = 0.
-1, 1
Suppose 4*k - 496 = 648. Determine z so that 311 + 196*z**2 - 197 + k - 560*z = 0.
10/7
Let j(g) = -4*g**4 - 138*g**3 - 144*g**2 + 10. Let d(v) = -v**4 - 46*v**3 - 48*v**2 + 3. Let l(c) = 10*d(c) - 3*j(c). Determine f so that l(f) = 0.
-1, 0, 24
Suppose 2*r = 4*k - 5*k, -k - 4*r - 2 = 0. Determine x so that -19*x**3 + 4*x**3 - 4*x**4 - x**4 - 6*x**k - 4*x**2 = 0.
-2, -1, 0
Determine x, given that 277*x - 55*x**2 + 110 + 65*x**2 - 52*x = 0.
-22, -1/2
Let b(p) be the third derivative of -p**8/420 - 2*p**7/105 + p**6/75 + 2*p**5/15 - p**4/30 - 2*p**3/3 + 27*p**2 - 2*p. Find t such that b(t) = 0.
-5, -1, 1
Factor -330 + 1537 - 3*d**2 + 4*d**2 - 25*d - 63*d + 729.
(d - 44)**2
Let q(i) be the first derivative of i**9/16632 + i**8/4620 + i**7/4620 - 7*i**3 + 11. Let j(y) be the third derivative of q(y). Find t such that j(t) = 0.
-1, 0
Suppose u + 1 = f, 2*u = 3 + 7. Let k be 5*(f - (-12)/(-4)). Find t such that -23*t**3 + k*t**3 + 6*t - 2 + 10*t**3 - 6*t**2 + 0*t = 0.
1
Let g = -13695/71 - -745919/4473. Let l = g + 186/7. Factor 0*x + 0 - 1/9*x**4 - l*x**2 + 4/9*x**3.
-x**2*(x - 2)**2/9
Let i = 77 - 72. Suppose 3*b - 12 = i*m, 4*m - m = -4*b + 16. Factor -2/3*n**2 + n**3 + m*n + 0.
n**2*(3*n - 2)/3
Suppose -1/8*t**2 + 1/8*t + 3/4 = 0. Calculate t.
-2, 3
Find b, given that -384/7*b + 48/7*b**4 - 192/7 + 6/7*b**5 - 156/7*b**2 + 78/7*b**3 = 0.
-4, -1, 2
Let w = 1904 - 5704/3. Find q such that 0 + w*q + 16/3*q**3 + 4/3*q**4 + 20/3*q**2 = 0.
-2, -1, 0
Suppose 0*h**2 - 1/2*h + 1/2*h**3 + 0 = 0. What is h?
-1, 0, 1
Let r = -21 - -25. Solve -2*y**3 - r*y**2 + 8 - 8 + 2*y**4 = 0 for y.
-1, 0, 2
Let y(o) be the first derivative of 16*o**3/27 - 17*o**2/9 + 4*o/9 - 276. Factor y(r).
2*(r - 2)*(8*r - 1)/9
Solve -1/4*k**4 + 5/4*k - 3/4*k**2 + 1 - 5/4*k**3 = 0 for k.
-4, -1, 1
Let x be 16/10 - (-4)/10. Suppose -x*t = 3*y, 3*y - 13*t = -11*t. Solve y*z - 8/3*z**3 + 4/3*z**4 - 4/3*z**2 + 8/3*z**5 + 0 = 0 for z.
-1, -1/2, 0, 1
Let r(v) be the second derivative of -v**6/6 + 5*v**4/4 - 5*v**3/3 - 76*v. Factor r(j).
-5*j*(j - 1)**2*(j + 2)
Let u(h) = 56*h**2 - 63*h + 25. Let d(w) = -12*w - 20*w + 12 - 30*w**2 + 58*w**2. Let p(b) = -9*d(b) + 4*u(b). Factor p(o).
-4*(o - 1)*(7*o - 2)
Let u(s) = -8*s**2 - 4*s + 6. Let a(k) be the second derivative of 0 + 5*k - 5/2*k**2 + 1/2*k**3 + 7/12*k**4. Let l(c) = -6*a(c) - 5*u(c). Factor l(h).
-2*h*(h - 1)
Let o = -8120687/8998 - 4/4499. Let j = -856 - o. Solve 39/2*g**3 + j*g**2 - 21/2*g**4 + 6 - 15/2*g**5 + 30*g = 0.
-1, -2/5, 2
Find v such that 6/7*v - 16/21 - 2/21*v**2 = 0.
1, 8
Let w = -3743/30 - -125. Let c(z) be the second derivative of w*z**3 - 7*z - 1/150*z**6 - 3/20*z**4 - 1/5*z**2 + 0 + 1/20*z**5. What is h in c(h) = 0?
1, 2
Solve 0 - 15*o**4 + 15*o**2 + 45*o - 5/4*o**5 - 175/4*o**3 = 0 for o.
-6, -1, 0, 1
Let b(m) be the first derivative of -m**4/30 - m**3/15 - 8*m - 6. Let a(w) be the first derivative of b(w). Find o, given that a(o) = 0.
-1, 0
Let y = -290 + 6671/23. Let f = y - -18/115. Let 0*a - f*a**2 + 0 + 1/5*a**3 = 0. What is a?
0, 1
Factor 0 - 16/9*z**2 + 2/9*z**3 + 10/3*z.
2*z*(z - 5)*(z - 3)/9
Let n be (-2240)/(-1200)*20/7. Factor 0 + 0*q + 2/3*q**4 + n*q**3 + 32/3*q**2.
2*q**2*(q + 4)**2/3
Let v(i) be the third derivative of -1/42*i**6 + 2/735*i**7 + 0*i + 0 - 1/6*i**4 - 9*i**2 + 3/35*i**5 + 4/21*i**3. Let v(r) = 0. What is r?
1, 2
Let r(l) be the first derivative of 28*l**3/3 + 38*l**2 - 104*l - 54. Determine d so that r(d) = 0.
-26/7, 1
Let d(o) = -8*o**4 + 2*o**3 + 4*o**2 + 2*o. Let l(s) = -s**4 + s**3 + s**2 - s. Let q(x) = 3*d(x) - 21*l(x). Determine a, given that q(a) = 0.
-3, 0, 1
Let q(f) be the second derivative of -f**7/4620 + f**6/396 - f**5/165 + 17*f**3/6 + 11*f. Let w(c) be the second derivative of q(c). Factor w(d).
-2*d*(d - 4)*(d - 1)/11
Let j(o) be the second derivative of 2/15*o**6 + 11*o - 2/21*o**7 + 0*o**5 + 0*o**4 + 0*o**2 + 0*o**3 + 0. Determine f so that j(f) = 0.
0, 1
Find k such that 5/3*k**3 + 5/3*k**2 - 660 - 160*k = 0.
-6, 11
Let r(i) = -i**4 + i**3 - i**2 + 1. Let g(j) = -8*j**4 + 36*j**3 - 72*j**2 + 40*j + 4. Let x(u) = -g(u) + 4*r(u). Factor x(b).
4*b*(b - 5)*(b - 2)*(b - 1)
Let u = 1494 + -1492. Let a(w) be the third derivative of 0*w + 0 + 7*w**u + 0*w**4 + 0*w**3 - 1/450*w**5 - 1/900*w**6. Factor a(r).
-2*r**2*(r + 1)/15
Let j be (1 - (-10)/(-40)*8)*-2. Factor 18/7 - 39/7*o - 15/7*o**j.
-3*(o + 3)*(5*o - 2)/7
Let z(w) be the first derivative of -w**6/6 + 7*w**5/25 + 2*w**4 - 56*w**3/15 - 8*w**2 + 112*w/5 - 20. Determine y so that z(y) = 0.
-2, 7/5, 2
Let j(i) be the second derivative of -1/63*i**4 + 1/63*i**3 - 1/441*i**7 + 0 + 2/315*i**6 + 0*i**5 + 0*i**2 - 13*i. Suppose j(o) = 0. What is o?
-1, 0, 1
Let h = -282 + 282. Let q = -28 - -30. Let h - 1/3*c**q + 1/3*c = 0. Calculate c.
0, 1
Let o(w) = -28*w**3 + 85*w**2 - 77*w + 17. Let d(k) = -365*k**3 + 1105*k**2 - 1000*k + 220. Let p(c) = -3*d(c) + 40*o(c). Factor p(q).
-5*(q - 2)*(q - 1)*(5*q - 2)
Suppose -q - 3*x - 10 = -6*x, -3*q = -5*x + 14. Factor -2*t**4 + 3*t**3 + 6*t + 0*t**3 + q*t**3 - 2*t**2 + 4 - 11*t**3.
-2*(t - 1)*(t + 1)**2*(t + 2)
Let h(i) be the third derivative of -169*i**7/70 - 91*i**6/24 + 38*i**5/45 - i**4/18 + 53*i**2. Factor h(f).
-f*(f + 1)*(39*f - 2)**2/3
Find a such that -1/5*a**2 + 14/5 + a = 0.
-2, 7
Let p(q) be the third derivative of 0*q + 1/5*q**5 + 1/105*q**7 - 1/15*q**6 + 6*q**2 - 1/3*q**4 + 1/3*q**3 + 0. Find t, given that p(t) = 0.
1
Let o(s) = 52*s - 8. Let a be o(-1). Let u be ((-8)/3)/(a/40). Factor -2/9*t**2 + 0 - 4/9*t + u*t**3 - 10/9*t**4.
-2*t*(t - 1)**2*(5*t + 2)/9
Let l(b) be the second derivative of -b**4/3 + 10*b**3/3 + 132*b**2 - 436*b. Let l(k) = 0. What is k?
-6, 11
Let u(v) be the first derivative of -2*v**5/15 + 5*v**4/6 + 2*v**3/3 - 17*v**2/3 + 20*v/3 - 106. Solve u(z) = 0 for z.
-2, 1, 5
Determine u so that 164/7*u**2 - 4/7*u**4 + 288/7 + 444/7*u + 4/7*u**3 = 0.
-3, -1, 8
Let k be 2/(-6) + 1/(-3)*-7. Let f be 0/(-6)*1/k. Let 4/7*m**2 + 2/7*m**3 + f*m + 0 = 0. What is m?
-2, 0
Let c(b) be the first derivative of b**6/14 - 3*b**4/28 + 128. Factor c(a).
3*a**3*(a - 1)*(a + 1)/7
Let l = 60 - 58. Let u be (-15)/(-315) + l/7*1. Suppose 0*t + 0*t**2 + u*t**3 + 1/3*t**4 + 0 = 0. Calculate t.
-1, 0
Let b(c) be the second derivative of -c**5/90 + 4*c**3/27 + 30*c - 3. Suppose b(a) = 0. Calculate a.
-2, 0, 2
Let o(p) = -3*p**2 - 6*p - 7. Let c(a) = -1. Let d(u) = u - 25. Let k be d(26). Let v(r) = k*o(r) - 4*c(r). Let v(j) = 0. Calculate j.
-1
Suppose -4*r + 4 + 4 = 0. Suppose -33*n**3 - 23*n + 42*n**2 - 15*n**r +