alculate f.
-2, 0, 1
Let n be 18920/28896 - (-1)/(-12). Factor -n - 10/7*u - 8/7*u**2 - 2/7*u**3.
-2*(u + 1)**2*(u + 2)/7
Let v = -1074 + 1074. Let q = 3 - 1. Determine p, given that 12/7*p**4 + 0*p + 8/7*p**3 + 0 + v*p**q + 4/7*p**5 = 0.
-2, -1, 0
Let a(i) be the first derivative of 38 - 32/5*i - 2/15*i**3 - 8/5*i**2. Let a(y) = 0. What is y?
-4
Suppose 0 = g + c + 3, -25 = -55*c + 60*c. Suppose 144/5 + 192/5*z + 4/5*z**3 + 52/5*z**g = 0. What is z?
-6, -1
Let l(k) be the second derivative of -k**7/126 - k**6/60 + 11*k**5/120 + k**4/12 - 181*k. Determine j, given that l(j) = 0.
-3, -1/2, 0, 2
Let j(n) be the third derivative of n**5/450 - n**4/18 + 5*n**3/9 - 579*n**2. Factor j(g).
2*(g - 5)**2/15
Let x(u) be the third derivative of -11*u**7/630 + u**6/36 + 2*u**5/15 - 5*u**2. Factor x(b).
-b**2*(b - 2)*(11*b + 12)/3
Let b = -1808 - -9076/5. Factor -27/5*g - b*g**2 - 6/5 - 12/5*g**3.
-3*(g + 2)*(2*g + 1)**2/5
Let w = 89 + -83. Let y(s) = -s**3 + 5*s**2 - 10*s + 3. Let j(m) = 2*m**3 - 9*m**2 + 21*m - 7. Let z(t) = w*j(t) + 14*y(t). Solve z(n) = 0 for n.
0, 1, 7
Let i(p) = p**2 - 27*p - 36. Let g be i(29). Factor -g - 16 + 96*f - 26 + 4*f**3 - 36*f**2.
4*(f - 4)**2*(f - 1)
Let d(w) be the second derivative of -w**6/135 + 7*w**5/45 - 61*w**4/54 + 28*w**3/9 - 4*w**2 + 60*w. Solve d(t) = 0 for t.
1, 6
Factor 8/3*d - 2/3*d**3 - 4/3*d**2 + 0 + 1/3*d**4.
d*(d - 2)**2*(d + 2)/3
Let p(s) be the first derivative of 7/8*s**2 - 3/4*s + 1/16*s**4 - 5/12*s**3 + 20. Suppose p(f) = 0. What is f?
1, 3
Let h be -4 - 4/((-8)/(-10)). Let i(k) = 3*k + 27. Let y be i(h). What is x in -7/2*x**2 + y + 3*x - 3/2*x**3 = 0?
-3, 0, 2/3
Let r(s) = -s**2 + 374. Let j be r(-19). Suppose -27/2*i**2 + 2*i + j*i**3 + 2 - 7/2*i**4 = 0. What is i?
-2/7, 1, 2
Let a(m) = -33*m**2 + 88*m + 32. Let v(u) be the first derivative of -8*u**3/3 + 11*u**2 + 8*u - 34. Let g(b) = 2*a(b) - 9*v(b). Factor g(r).
2*(r - 4)*(3*r + 1)
Factor 11*p**2 - 5*p + 38 + 6*p - 46*p - 6*p**2 - 598.
5*(p - 16)*(p + 7)
Let r be 282/(-10) + 6/30. Let n = 115/4 + r. Determine o so that 1/4*o**3 + n*o**2 - 1 + 0*o = 0.
-2, 1
Factor -24/7*p**3 + 15/7 + 3/7*p**4 - 48/7*p + 54/7*p**2.
3*(p - 5)*(p - 1)**3/7
Let u = 54 + -54. Let k(w) be the first derivative of 0*w**5 + 0*w**3 + 2/3*w**6 + u*w + 5 + 0*w**4 + 0*w**2. Factor k(z).
4*z**5
Let 4 - 8/7*j - 20/7*j**2 = 0. Calculate j.
-7/5, 1
Suppose 0 = 3*r + 4*b + 3, 0 = 5*r - 147*b + 145*b - 21. Factor 2/15*q**4 - 2/5*q**2 + 0 + 0*q**r + 4/15*q.
2*q*(q - 1)**2*(q + 2)/15
Let a = 773 - 769. Let z(q) be the second derivative of 3/5*q**5 + 0*q**2 + 0 + 0*q**3 - 2/9*q**a - 14/45*q**6 + 8*q. Determine j so that z(j) = 0.
0, 2/7, 1
Let d be 1*(-4 - (-3 + -1)). Suppose -k + b - 2*b = -9, -5*b + 25 = d. Factor -k + 2 + 2*n**2 - 16*n + 16*n.
2*(n - 1)*(n + 1)
Suppose 7 = 5*y + 27. Let g be (3/6)/(-1)*y/4. Suppose 5/4*r + 1/4*r**3 - g - r**2 = 0. What is r?
1, 2
Let f(w) = w**2 - 12*w + 7. Let t = 9 - 5. Let y(o) = 4*o - 2. Let d(x) = t*f(x) + 14*y(x). Factor d(b).
4*b*(b + 2)
Let d(c) be the third derivative of c**6/360 - c**5/180 - c**4/9 + 2*c**3/3 - 176*c**2. Factor d(q).
(q - 2)**2*(q + 3)/3
Let n(u) be the first derivative of 1/9*u**6 - 2/15*u**5 + 0*u**3 + 0*u**2 - 1/3*u**4 + 4 + 0*u. Factor n(f).
2*f**3*(f - 2)*(f + 1)/3
Let z(k) be the third derivative of 0*k**3 + 0*k + 0*k**4 + 1/50*k**5 + 0 + 7/200*k**6 - 9*k**2. Factor z(g).
3*g**2*(7*g + 2)/5
Let m(n) be the first derivative of -14 - 5/4*n**4 + 5/6*n**6 + 0*n**2 + 2*n**5 + 0*n - 10/3*n**3. What is k in m(k) = 0?
-2, -1, 0, 1
Let o(m) be the second derivative of 9/20*m**5 + 0*m**2 + 2/3*m**3 + 11*m + 0 - m**4. Determine d, given that o(d) = 0.
0, 2/3
Let k(d) be the second derivative of d**5/4 - d**4/12 - d**3/6 + 13*d. Let s be k(1). Factor -3/5*m + 6/5*m**2 - 3/5*m**5 - 3/5*m**4 - 3/5 + 6/5*m**s.
-3*(m - 1)**2*(m + 1)**3/5
Suppose -t + 20 = 3*t - 4*n, -4*n = 5*t - 25. Let m = t - -2. Factor -2*u**3 + u**3 - m*u**4 + 6*u**4.
-u**3*(u + 1)
Solve -87*l**2 - 6*l + 96 + 90*l**2 - 48*l = 0 for l.
2, 16
Let z(h) = -h**4 + h**3 + h**2 + 1. Let p(w) = -15*w**5 - 180*w**4 - 618*w**3 - 222*w**2 - 6. Let t(n) = -p(n) - 6*z(n). Factor t(l).
3*l**2*(l + 6)**2*(5*l + 2)
Let l(y) be the third derivative of -y**7/840 - y**6/60 - y**5/12 - y**4/6 - 36*y**2. Factor l(z).
-z*(z + 2)**2*(z + 4)/4
Let n = 100/369 - 2/41. Let a = 78 - 78. Factor a*d + 0*d**2 + 0*d**3 + 0 - n*d**4.
-2*d**4/9
Let i(r) = 5*r**2 - 7*r + 12. Let x(l) = 26*l**2 - 34*l + 60. Let y(g) = -16*i(g) + 3*x(g). Determine z so that y(z) = 0.
2, 3
Let q(o) = -o**2 + 3*o - 4. Let l be q(0). Let u be (l/25)/(((-18)/(-10))/(-9)). Factor -1/5*p**3 - 2/5 - u*p**2 - p.
-(p + 1)**2*(p + 2)/5
Let m(s) be the third derivative of 19*s**2 - 3/80*s**6 + 5/12*s**3 + 13/40*s**5 + 0 + 0*s + 29/48*s**4. Find n such that m(n) = 0.
-1/3, 5
Let v(g) be the first derivative of 12*g**2 + 4*g**3 - 14 - 6*g + 0*g**2 - 8*g**2 + 2*g. Determine x, given that v(x) = 0.
-1, 1/3
Let r(v) be the third derivative of -v**8/336 + v**6/120 + 3*v**2 - 8. Factor r(y).
-y**3*(y - 1)*(y + 1)
Factor -9*d**2 + 45/2*d - 12 - 3/2*d**3.
-3*(d - 1)**2*(d + 8)/2
Let a(n) = 48*n + 66*n + 12*n**2 - 97*n. Let w(k) = 11*k**2 + 16*k. Let u(f) = -6*a(f) + 7*w(f). Factor u(j).
5*j*(j + 2)
Let d(y) = -4*y**4 + 24*y**3 - 15*y**2 + 5*y - 10. Let r(p) = 2*p**4 - 12*p**3 + 8*p**2 - 2*p + 4. Let u(i) = 2*d(i) + 5*r(i). Suppose u(g) = 0. Calculate g.
0, 1, 5
Let f = 2/2775 + -94364/19425. Let m = f - -184/35. Let -m*x**3 - 2/5*x**2 + 0*x + 0 + 2/5*x**5 + 2/5*x**4 = 0. Calculate x.
-1, 0, 1
Let k be (690/(-135))/(-23)*(7/2 - 2). Suppose -4*g + 10 = g. Factor k*r**g + r + 2/3.
(r + 1)*(r + 2)/3
Let p be (5 - 32/8)*2. Let w(g) be the second derivative of 0 + 2/11*g**p - 3/22*g**4 - 7*g - 1/11*g**5 + 1/11*g**3. Solve w(b) = 0.
-1, -2/5, 1/2
Let v(y) be the first derivative of 0*y**2 + 12 - 20/3*y**3 + 6*y**4 - 36/25*y**5 + 16/5*y. Determine o so that v(o) = 0.
-1/3, 2/3, 1, 2
Let t(q) be the second derivative of 5*q**7/42 - q**6/3 + q + 37. Factor t(w).
5*w**4*(w - 2)
Let k(g) be the second derivative of -3*g**5/100 - g**4/20 + g**3/2 - 9*g**2/10 + 2*g - 6. Factor k(c).
-3*(c - 1)**2*(c + 3)/5
Let k(g) = -g**3 - 2*g**2 - 5*g - 6. Let u be k(-2). Suppose 4*w = -1 + 5, -2*o = u*w - 8. Factor 2/9 + 2/9*p - 2/9*p**3 - 2/9*p**o.
-2*(p - 1)*(p + 1)**2/9
Find g, given that 0 - 3/4*g**3 - 87/4*g**2 + 45/2*g = 0.
-30, 0, 1
Let g be (-3)/(-15) - (-716)/420. Let h = g + -31/21. Factor 4/7*r + 1/7*r**4 - h*r**2 - 2/7*r**3 + 4/7.
(r - 2)**2*(r + 1)**2/7
Let l(q) be the second derivative of -7/120*q**4 + 0 - 1/15*q**3 + 17*q - 1/100*q**5 + 1/300*q**6 + 0*q**2. Factor l(i).
i*(i - 4)*(i + 1)**2/10
Let q(c) be the third derivative of -2*c**7/105 - 19*c**6/30 - 19*c**5/5 + 319*c**4/6 - 484*c**3/3 + 149*c**2. Find u such that q(u) = 0.
-11, 1, 2
Let f be 84/(-216)*(-9)/294. Let i(s) be the third derivative of f*s**4 + 0*s**3 - 1/420*s**6 + 2*s**2 + 0 + 0*s + 0*s**5. Factor i(d).
-2*d*(d - 1)*(d + 1)/7
Let o(s) be the first derivative of s**5/5 - 3*s**4/4 - 2*s**3 + 4*s**2 - 24. Solve o(y) = 0.
-2, 0, 1, 4
Let y(w) be the second derivative of w**6/75 - 3*w**5/50 - w**4/6 + w**3/5 + 4*w**2/5 - 23*w + 2. Solve y(m) = 0 for m.
-1, 1, 4
Let z(n) = 12*n**2 - 4*n**2 + 1 - 6*n**2 - 3*n. Let s(i) = 9*i**2 - 14*i + 5. Let q(y) = -2*s(y) + 11*z(y). Factor q(o).
(o - 1)*(4*o - 1)
Let h(f) be the first derivative of 5*f**3 + 159*f**2/2 - 66*f - 59. Suppose h(j) = 0. What is j?
-11, 2/5
Let m(b) = -3*b**2 - 3*b + 6. Let k(z) = 15*z**2 - 2*z - 28*z**2 + 3 + 12*z**2. Let s(u) = 5*k(u) - 2*m(u). Factor s(t).
(t - 3)*(t - 1)
Let r = 631 - 626. Let u(b) be the second derivative of 0 + 6*b + 1/70*b**r + 0*b**4 + 0*b**2 - 1/21*b**3. Suppose u(x) = 0. Calculate x.
-1, 0, 1
Let w(t) = t**3 + 4*t**2 - t + 1. Let f be w(-4). Suppose -10*y**3 + 184 - 21*y - f*y**3 - 178 + 3*y**4 + 27*y**2 = 0. What is y?
1, 2
Let w = 2/201 - -9224/2211. Let c = w + -116/33. Suppose -1/2*u**2 + c + 2/3*u = 0. What is u?
-2/3, 2
Let i(y) be the third derivative of y**6/420 - y**5/70 + y**2 - 44*y. Find q, given that i(q) = 0.
0, 3
Let z = 18 - 12. Let o be (-6 - -7) + z/(-8). Suppose -1/4*r**3 + o*r + 1/4*r**4 - 1/4*r**2 + 0 = 0. Calculate r.
-1, 0, 1
Let x(r) be the second derivative of