. Let u(t) = -2*c(t) + j(t). Let u(h) = 0. Calculate h.
-2, 1, 34
Let l = 77 - 75. Factor 20*h + 10*h**3 + 5*h**3 - h**2 - h**4 - 8 - 5*h**l - 12*h**2 - 8*h**3.
-(h - 2)**3*(h - 1)
Let x(r) be the second derivative of -1/4*r**3 - 1/160*r**5 + 2*r + 0 - 1/16*r**4 + 17/2*r**2. Let h(k) be the first derivative of x(k). Factor h(c).
-3*(c + 2)**2/8
Let l(x) = 3*x**2 + 1. Let f be l(-1). Let d(w) = -3*w**2 - 112*w + 79. Let c be d(-38). Factor f*g - 9*g**2 - 10*g - 4*g**3 + 0*g**3 + g**c.
-3*g*(g + 1)*(g + 2)
Suppose -2026*o - 56 = -2034*o. Let p(a) be the second derivative of 3/5*a**5 - 4*a - 3/4*a**4 - 1/7*a**o + 1/10*a**6 + 0 + 0*a**2 + 0*a**3. Factor p(h).
-3*h**2*(h - 1)**2*(2*h + 3)
Suppose 109 - 19 = 6*u. Factor -4 + 40*j**3 - 18*j + 2*j + 7*j**2 - u*j**3 - 12*j**2.
(j - 1)*(5*j + 2)**2
Let l(r) = -r - 10. Let w be l(-12). Factor -5*d**2 + 2*d**2 + 3*d**2 - d**w + 4*d.
-d*(d - 4)
Let s be -4 + -3 - -5 - -5. Suppose s*f - 16 = 5. Factor 1 + 1 - f*z + 5*z + 10*z**2 - 10*z.
2*(z - 1)*(5*z - 1)
Let n = -41 - -41. Suppose 7 = -c - 2*g, 3*c + 11 = -n*c - 4*g. Factor 61*w**2 - 58*w**2 + w**3 - w - c*w**3.
-w*(w - 1)*(2*w - 1)
Let j(b) = 2*b**2 + 3*b + 4. Let s(l) = -3*l + 5. Let d be s(2). Let t be j(d). Factor 4*u**3 - 5*u - 5*u**t - 5*u**3 - 10*u**2 + u**3.
-5*u*(u + 1)**2
Let c(g) be the first derivative of g**4/6 + 58*g**3/9 - 166*g**2/3 + 272*g/3 - 158. Factor c(l).
2*(l - 4)*(l - 1)*(l + 34)/3
Let h(r) be the third derivative of -3*r**6/40 + 61*r**5/20 - 89*r**4/4 + 68*r**3 - 7278*r**2. Factor h(k).
-3*(k - 17)*(k - 2)*(3*k - 4)
Let w(o) = o**3 + 19*o**2 + 61*o + 16. Let k be w(-15). Suppose -j - 4*b - 2 = 0, -3*b - 2 = k. Factor -2/5*l**j + 16/5*l - 14/5.
-2*(l - 7)*(l - 1)/5
Let c(h) be the third derivative of h**7/105 - 94*h**6/15 + 2331*h**5/2 + 11907*h**4/2 - 3*h**2 - 42. Factor c(j).
2*j*(j - 189)**2*(j + 2)
Suppose 7*y + 23 = 3*i + 5*y, -65 = -5*i - 2*y. Factor -555*t - 19*t**2 + 3*t**4 - t**4 + 4*t**3 + i*t**3 + 450 + 112*t**2 - 5*t**4.
-3*(t - 5)**2*(t - 1)*(t + 6)
Let i(h) be the third derivative of -17*h**6/24 - 7*h**5/4 + 25*h**4/4 + 20*h**3/3 + 317*h**2. Factor i(a).
-5*(a - 1)*(a + 2)*(17*a + 4)
Let b(m) be the second derivative of -m**4/3 - 68*m**3/3 - 578*m**2 + 217*m - 1. Factor b(t).
-4*(t + 17)**2
Let s be (-936)/(-156)*(5/2 - 2). Suppose s*z + 12 = 5*n + 11, 6 = 2*z. Factor -1/2*t**3 + 2 - 4*t + 5/2*t**n.
-(t - 2)**2*(t - 1)/2
Let n(x) = 43*x**2 + 56*x + 96. Let f(l) = -72*l**2 - 111*l - 194. Let h(p) = 6*f(p) + 10*n(p). Factor h(c).
-2*(c + 2)*(c + 51)
Let y(o) be the second derivative of -o**5/220 + 5*o**4/33 - 6*o**3/11 - 1034*o. Find a, given that y(a) = 0.
0, 2, 18
Let r(y) be the second derivative of -y**9/25200 - y**8/33600 - 97*y**4/12 + y + 27. Let j(p) be the third derivative of r(p). Find z such that j(z) = 0.
-1/3, 0
Let t(p) be the first derivative of -2*p**5/35 + 4*p**4/7 - 2*p**3 + 18*p**2/7 + 1421. Let t(d) = 0. Calculate d.
0, 2, 3
Suppose -15 = -x - 12. Suppose 32 - 5*a**3 + 3*a**x + 2*a + 6*a**3 - 10*a - 2*a**3 - 8*a**2 = 0. Calculate a.
-2, 2, 4
Let q(j) = j**2 - j + 5. Let v be q(0). Suppose 3*w - 2*w - 4 = 2*a, -5*w = -v*a - 35. Factor -w*z - 6*z**2 + 7*z - 8*z**2 - z**2.
-3*z*(5*z + 1)
Let q = 25244 + -25241. Factor 6*u**2 + 1/3*u**4 - 7/3*u**q + 8/3 - 20/3*u.
(u - 2)**3*(u - 1)/3
Let g(p) = 3*p**2 - 58*p + 247. Let k(l) = 8 - 2 - 8 - l + 3. Let o(i) = g(i) - 4*k(i). Solve o(q) = 0.
9
Let c be (-9 - (-10)/1)/(-8 + (-11)/(-1)). Factor 0*q - c*q**4 + 0 - 4/3*q**3 + 5/3*q**2.
-q**2*(q - 1)*(q + 5)/3
Let t(v) be the third derivative of -v**6/30 - 23*v**5/15 + 305*v**4/6 - 550*v**3 + 2*v**2 - 22. Factor t(a).
-4*(a - 5)**2*(a + 33)
Let q(w) = -w**2 - 18*w + 65. Let f be -31 + (-5 + 13 - -2). Let h be q(f). Find s such that -8/9*s - 2/9*s**h - 8/9 = 0.
-2
Let l = -103 + 105. Solve 15*s + 5*s**3 + 3963*s**2 + 2 - 3943*s**l - 2 = 0.
-3, -1, 0
Find h such that 2/5*h**4 + 0*h - 5728/5*h**3 + 4101248/5*h**2 + 0 = 0.
0, 1432
Let 945*h**2 - 45120*h - 642*h**3 - 646*h**3 + 34104 + 1283*h**3 + 10076 = 0. Calculate h.
1, 94
Find o, given that 380 + 538 + 760*o + 172 - 154 + 2*o**4 + 0*o**4 + 66*o**2 - 36*o**3 = 0.
-2, 9, 13
Suppose -9*r + 200 = 4*d - 11*r, 2*r + 56 = d. Factor -60*z - 84*z - 378*z**2 - d*z + 760*z**2 + 3072 - 379*z**2.
3*(z - 32)**2
Let t(o) = 48*o**2 + 854*o - 304. Let l(i) = 69*i**2 + 1282*i - 455. Let g(v) = 7*l(v) - 10*t(v). What is u in g(u) = 0?
-145, 1/3
Let r = -18485 + 18489. Factor -10/3*w**3 - 16/3 + 2/3*w**4 + r*w**2 + 8/3*w.
2*(w - 2)**3*(w + 1)/3
Let j be 5/((-247572)/(-30864) - (-8 - -16)). Find s, given that 3384/11*s**3 - 22 + 24/11*s**5 + 50*s**4 + j*s**2 - 48*s = 0.
-11, -1, -1/4, 1/3
Suppose -401*y + 397*y = -56. Let q = y - 47/4. Determine l, given that -8*l**3 + 15/4*l**4 + 0 + 0*l + q*l**5 + 3*l**2 = 0.
-3, 0, 2/3
Let x(w) be the third derivative of 53*w**5/20 + 263*w**4/8 - 5*w**3 + 673*w**2 - 2. What is r in x(r) = 0?
-5, 2/53
Suppose 2*z - 298 = -2*r - 2*z, -3*r - z + 472 = 0. Let u be r/(-117) - 90/(-54). Factor 0 + u*v**2 + 0*v - 6/13*v**4 - 2/13*v**3.
-2*v**2*(v + 1)*(3*v - 2)/13
Suppose -5*t + 2*f = -35, -3*t + 23 = -f + 2. Factor -12*z**5 + 33*z**5 - 9*z**5 - t*z**5 - 65*z**4.
5*z**4*(z - 13)
Let d(h) be the second derivative of -h**6/10 + 3*h**5/5 + 3*h**4/2 - 2*h**3 - 15*h**2/2 - 1629*h. Factor d(r).
-3*(r - 5)*(r - 1)*(r + 1)**2
Let x(b) = -b**3 - 105*b**2 + 313*b - 1080. Let p be x(-108). Let u(k) be the first derivative of -9*k**2 + p*k + 1/4*k**3 + 47. Suppose u(a) = 0. What is a?
12
Suppose w = 16*f - 13*f + 2120, 0 = -w - f + 2104. Factor 4*u**2 + 12*u**2 + 30*u**3 - 4207*u + 4*u**2 + 5*u**5 + w*u + 2104*u + 20*u**4.
5*u*(u + 1)**4
Suppose 7 = 5*z - z - d, 0 = -2*d + 10. Factor -6*f**z + 45*f**5 - 55*f**4 + 32*f + 16*f**3 - 32*f.
5*f**3*(f - 1)*(9*f - 2)
Let b(a) = 3*a**2 + 284*a + 1108. Let k(m) = -39*m**2 - 3690*m - 14406. Let u(d) = -27*b(d) - 2*k(d). Factor u(p).
-3*(p + 4)*(p + 92)
Let y(j) be the first derivative of 1/3*j**3 - j**2 - 8*j - 40. Find v such that y(v) = 0.
-2, 4
Let v(g) be the first derivative of -g**4/32 + 49*g**3/16 - 9*g**2 + 6*g + 215. Let o(f) be the first derivative of v(f). Let o(p) = 0. What is p?
1, 48
Let t be (136/12 + 5 + -14)/(1/6). Let g(c) be the second derivative of -t*c + 7/20*c**5 + 1/6*c**6 + 0*c**3 + 1/4*c**4 + 1/42*c**7 + 0 + 0*c**2. Factor g(i).
i**2*(i + 1)**2*(i + 3)
Let x(r) be the third derivative of r**8/168 - 41*r**7/35 + 743*r**6/12 + 1489*r**5/10 - 4898*r**4/3 + 3844*r**3 - 1022*r**2. Solve x(o) = 0.
-3, 1, 62
Suppose 65 = 15*a + 35. Factor -182*t**2 - 18*t**3 + 15*t**4 + 98*t**a + 87*t**2.
3*t**2*(t - 1)*(5*t - 1)
Suppose -3*o = 2*x - 56, 5*o + 2*x - 57 = 43. Factor 25*t - 11*t - 4*t**3 + o*t.
-4*t*(t - 3)*(t + 3)
Determine w so that -3953672/7 - 5624/7*w - 2/7*w**2 = 0.
-1406
Let m = -7121 - -7121. Let y(d) be the third derivative of 1/70*d**7 - 8*d**2 + 1/25*d**5 + 0*d**4 + 0*d - 3/50*d**6 + m*d**3 + 0. Factor y(b).
3*b**2*(b - 2)*(5*b - 2)/5
Let k(v) = 5*v**4 - 69*v**3 + 132*v**2 + 384*v - 357. Let a(t) = -2*t**2 + 1. Let u(y) = 5*a(y) + k(y). Solve u(x) = 0 for x.
-2, 4/5, 4, 11
Suppose 24*b - 65 = 79. Suppose -2*u = -2*n - 14, 3*n + 20 = 4*u + n. Factor b*c**2 + u*c**3 - 3*c**2 - 7*c + c.
3*c*(c - 1)*(c + 2)
Let t be (4 - 7)/(-2 - -3). Let k(r) = -r**2 - 5*r - 3. Let c be k(t). Find d such that -15*d**4 + d**2 - 5*d**2 - 21*d**c + 7*d**3 + 5*d**4 = 0.
-1, -2/5, 0
Let i = -179 + 184. Let a(d) = 12*d**2 + 49*d - 16. Let j(c) = 12*c**2 + 50*c - 16. Let t(o) = i*j(o) - 6*a(o). Let t(q) = 0. Calculate q.
-4, 1/3
Factor 16508/9*o**2 + 14450 + 2/9*o**4 + 352/9*o**3 + 29920/3*o.
2*(o + 3)**2*(o + 85)**2/9
Suppose -30 = -5*w + 3*s, 125*w + 22 = 129*w - 2*s. Let z(l) be the first derivative of -1/3*l + 1/9*l**w + 0*l**2 - 22. Factor z(u).
(u - 1)*(u + 1)/3
Let w = -13198499821/1878 + 7027956. Let s = w + 3/313. Factor -s*p + 1/3 - 7/6*p**2.
-(p + 1)*(7*p - 2)/6
Let h = 2101 - 2101. Let r = 92 + -92. Let 3/4*u**5 - 9/4*u**2 + r - 3/4*u**3 + h*u + 9/4*u**4 = 0. Calculate u.
-3, -1, 0, 1
Let k(z) be the third derivative of 9/20*z**5 - 5/2*z**3 + 13*z**2 + 1 + 0*z - 1/20*z**6 + 3/4*z**4. Factor k(h).
-3*(h - 5)*(h + 1)*(2*h - 1)
Let w be ((-8479)/305)/(2/(-10)). Let -111*n - 7*n**2 + w*n + 6*n**2 = 0. What is n?
0