) be the first derivative of -2*k**5/15 + 128*k**4 - 32768*k**3 + 1009. Factor c(g).
-2*g**2*(g - 384)**2/3
Let a(u) be the second derivative of -58*u + 2 + 1/80*u**5 + 1/56*u**7 + 0*u**3 + 0*u**2 - 1/48*u**4 + 1/24*u**6. Factor a(f).
f**2*(f + 1)**2*(3*f - 1)/4
Let m(j) = -18*j**2 + 1459*j - 178603. Let o(r) = 87*r**2 - 7296*r + 893016. Let b(s) = -24*m(s) - 5*o(s). Factor b(w).
-3*(w - 244)**2
Suppose 51*g - 258 = 8*g. Let i(a) be the second derivative of 2/105*a**g - 1/70*a**5 + 0*a**3 + 0*a**2 + 4*a + 0*a**4 - 1/147*a**7 + 0. Factor i(q).
-2*q**3*(q - 1)**2/7
Let f(u) be the second derivative of -u**4/6 + 47*u**3/3 + 898*u. Find g such that f(g) = 0.
0, 47
Suppose 0 = -263*v + 253*v + 30. Solve -25*n**v + 9*n**2 + 3*n**2 + 3*n**5 - 2*n**3 + 36*n + 0*n = 0 for n.
-3, -1, 0, 2
Let t = -8/10509 - -189218/73563. Solve -4/7 - 2*q**2 - t*q = 0.
-1, -2/7
Let c(p) = -22*p**5 + 222*p**4 - 485*p**3 + 101*p**2 - 5*p - 5. Let t(w) = -w**5 + w**3 - w**2 + w + 1. Let k(i) = -c(i) - 5*t(i). Find b, given that k(b) = 0.
0, 2/9, 4
Let x(t) = 519*t + 116258. Let i be x(-224). Factor 2/9*g**i - 10/3*g + 52/9.
2*(g - 13)*(g - 2)/9
Let h(m) = -6*m - 12. Let u be h(-2). Suppose u = 5*j - 9 - 16. Determine w so that -1512*w + 5*w**2 - 3*w**3 - 7*w**3 - j*w**4 + 1522*w = 0.
-2, -1, 0, 1
Let m(x) = -4*x - 5. Let l be m(-2). Let r be -2 + (-20)/(-8 + l). Factor -40*i + 105 - 5 + r*i**2 + 2*i**2.
4*(i - 5)**2
Let c(m) = 5*m + 32. Let p be 0/((-1)/(1/(-1))). Let a be c(p). Find w, given that -6*w**2 + 18*w - 14*w**2 - 2*w**3 + a + 6*w**3 - 10*w = 0.
-1, 2, 4
Let l(w) be the third derivative of -7 + 19/18*w**4 + 0*w + 5*w**2 - 11/45*w**5 - 2*w**3 + 1/90*w**6. Factor l(o).
4*(o - 9)*(o - 1)**2/3
Let p(g) be the first derivative of 9*g**2 - 33 - 1/9*g**3 + 1/180*g**5 + 0*g - 1/72*g**4. Let r(v) be the second derivative of p(v). Factor r(l).
(l - 2)*(l + 1)/3
Factor -20*x**4 - 3*x**5 + 5*x**3 + 15*x**4 + 2*x**5 + 4*x**4 - 3*x**2.
-x**2*(x - 1)**2*(x + 3)
Let p = -601 - -1455. Let o = -852 + p. Suppose -o*m**2 + 2/5*m**3 + 8/5*m + 0 = 0. Calculate m.
0, 1, 4
Suppose -5*z - 3*x = 26, 2*z - 6*z = 4*x + 16. Let n be z*(-12)/14 + (-104)/18. Determine p so that -5/9*p**4 + 14/9*p**2 - 1/9*p**5 - 1 - n*p**3 + 1/3*p = 0.
-3, -1, 1
Let 890*r**2 + 906*r - 31*r**3 - 31 - 87 - 44*r**3 + 8 - 1611*r = 0. Calculate r.
-2/15, 1, 11
Let t = 6 - -6. Let i = t - 9. Factor 3*w - 4*w**3 + 5*w**i - 4*w**3.
-3*w*(w - 1)*(w + 1)
Suppose -4*n + n + 8 = w, 4*w - 18 = -5*n. Suppose -w*a - 4 = -3*a. Factor 3*l**5 + 33 - 33 - 3*l**2 - 5*l**3 - 2*l**5 - l**a.
l**2*(l - 3)*(l + 1)**2
Let v(n) = 13374*n + 93620. Let q be v(-7). Let k be 3 + (-6)/3 + -1. Factor 6/7*r**3 + k + 18/7*r - 24/7*r**q.
6*r*(r - 3)*(r - 1)/7
Let k be 1763/(-172) - 217/(-21). Factor -k*f**4 - 9/4*f + 0 + 1/4*f**3 + 3/4*f**2.
-f*(f - 3)**2*(f + 3)/12
Let x(t) be the third derivative of -1/30*t**5 + 0 - 2/3*t**4 - 16/3*t**3 + 107*t**2 + 0*t. Let x(u) = 0. What is u?
-4
Let n(u) = -4 - 4*u + 3 + u + u. Let z be n(-4). Factor -4*s**3 - z*s**2 + 9*s**3 + 17*s**2.
5*s**2*(s + 2)
Let o = 96582 - 288946/3. Determine k, given that 962/3*k**2 + 2/3*k**5 + 1520/3*k + o + 38/3*k**4 + 278/3*k**3 = 0.
-5, -4, -1
Suppose 5*s - 30 = -25. Let n = 5 + -5. Factor -m - m**2 - s - m + n*m**2.
-(m + 1)**2
Determine s, given that -1/10*s**3 - 442/5*s + 112/5*s**2 + 88 = 0.
2, 220
Factor -6/7*l**2 - 1332 - 3126/7*l.
-6*(l + 3)*(l + 518)/7
Let b(r) = 5*r**5 + 32*r**4 - 32*r**3 + 12. Let c(t) = -2*t**5 - 2*t**4 - t**3 - 3. Let k(v) = b(v) + 4*c(v). Determine f, given that k(f) = 0.
0, 2, 6
Let f(g) = -650*g**2 - 3*g + 15. Let b(d) = 4*d**2 - d + 1. Let w(l) = 15*b(l) - f(l). Factor w(m).
2*m*(355*m - 6)
Let w(q) be the second derivative of 0*q**3 - 135*q + 1/126*q**7 + 0*q**2 + 1/36*q**4 - 1/60*q**5 - 1/90*q**6 + 0. Solve w(p) = 0 for p.
-1, 0, 1
Let v(j) be the first derivative of 43*j - 37 + 1/15*j**4 + 2/5*j**2 - 1/3*j**3. Let k(q) be the first derivative of v(q). Suppose k(g) = 0. Calculate g.
1/2, 2
Let -482 - 2416/3*n - 10/3*n**2 = 0. Calculate n.
-241, -3/5
Let a(x) be the first derivative of x**5/20 - 5*x**4/8 - 23*x**3/12 - 3*x**2/2 - 640. What is g in a(g) = 0?
-1, 0, 12
Let t(v) be the third derivative of v**5/300 + 41*v**4/30 + 3362*v**3/15 + 682*v**2. Determine f so that t(f) = 0.
-82
Suppose 13 = l + 78*r - 79*r, -1 = 2*l + r. Let v = 1197/65 + -89/5. Determine x, given that v + 2/13*x**l - 10/13*x**2 + 0*x**3 + 0*x = 0.
-2, -1, 1, 2
Let q(s) = s**4 - s**3 + 2*s**2 + s. Let y(n) = n**5 + 5*n**4 - 4*n**3 - 8*n**2 - 6*n. Let v = -93 - -91. Let z(i) = v*q(i) + y(i). Factor z(l).
l*(l - 2)*(l + 1)*(l + 2)**2
Let s = -3634 - -3635. Let h(o) be the first derivative of 0*o + 0*o**5 + 5/2*o**4 - 5/2*o**2 + s - 5/6*o**6 + 0*o**3. Factor h(v).
-5*v*(v - 1)**2*(v + 1)**2
Factor -8*b**2 - 47*b + 3*b**2 - 125*b + 3*b**2 + 3*b**2.
b*(b - 172)
Let s(v) be the third derivative of -v**5/12 + 305*v**4/3 - 148840*v**3/3 + v**2 + 141*v. Factor s(f).
-5*(f - 244)**2
Let m be (-2)/7 - 780/(-35). Suppose -20*w - 4 = -m*w. Factor 106*g**w + 0*g**4 - 4 - 3*g**4 - g**4 - 98*g**2.
-4*(g - 1)**2*(g + 1)**2
Let j = 89531 - 89528. Find v, given that 0 - 2*v**4 + 0*v + 4/3*v**j - 2/9*v**2 = 0.
0, 1/3
Suppose 45 = 12*u - 15. Let q be (-192)/54*3*u/(-10). Factor -2*j**3 + 8*j + 1/3*j**2 + 1/3*j**4 + q.
(j - 4)**2*(j + 1)**2/3
Let u(w) be the third derivative of -1/2*w**5 + 0*w - 6*w**3 + 0 - 11/180*w**6 - 9/4*w**4 + 90*w**2 - 1/315*w**7. What is f in u(f) = 0?
-3, -2
Let k(j) be the second derivative of 7/90*j**6 - 31/18*j**3 + 0 + 104*j - 37/36*j**4 - j**2 - 1/12*j**5. Factor k(o).
(o - 3)*(o + 1)**2*(7*o + 2)/3
Let j be 4/(-12)*((-5618)/636 - 14/12 - 90). Factor -2/3*m**2 + 10/3*m + j.
-2*(m - 10)*(m + 5)/3
Suppose -2*c = -3*y - 2 - 3, 0 = -2*y + c - 2. Let b be (9 - 7)/(2/y). Determine n so that -48*n**4 + 45*n**4 - b - 5 - 27*n**2 + 15*n**3 + 21*n = 0.
1, 2
Let d(s) be the first derivative of -s**3 - 27/2*s**2 - 3 - 54*s. Factor d(k).
-3*(k + 3)*(k + 6)
Let o(k) = 15*k**2 - 23*k - 1. Let f be o(2). Suppose -f*x = -139 + 113. Factor 0 + 4/5*w**3 - 4/5*w + 0*w**x.
4*w*(w - 1)*(w + 1)/5
Let r be 70/15 - (-72)/(-27). Factor 9 - 159*o**2 - 12*o**3 - 6 + 156*o**r + 12*o.
-3*(o - 1)*(o + 1)*(4*o + 1)
Find s, given that 3*s**4 - 1358*s - 226*s - 57*s**2 + 50656 - 22111 + 18*s**3 - 5313 - 444*s**2 = 0.
-11, 8
Let b(j) be the first derivative of j**6/6 + 24*j**5/5 + 18*j**4 - 1120*j**3/3 - 1176*j**2 - 545. Suppose b(t) = 0. Calculate t.
-14, -2, 0, 6
Let d(o) be the second derivative of -3*o**5/110 + 135*o**4/22 - 1032*o**3/11 + 6096*o**2/11 - 8621*o. Find c such that d(c) = 0.
4, 127
Let d = 326423 + -326421. Factor 242/3*p**d + 2/3*p**4 + 0 + 0*p - 44/3*p**3.
2*p**2*(p - 11)**2/3
Let i(n) be the first derivative of n**4/4 - 2*n**3/3 - 7*n**2/2 - n + 42. Let h be i(4). Determine g so that -1/5*g**h + 1/10*g**2 + 0 - 1/10*g**4 + 1/5*g = 0.
-2, -1, 0, 1
Let j = 84439/5 - 16887. Factor j + 13/5*a**2 - 6/5*a**3 - 12/5*a + 1/5*a**4.
(a - 2)**2*(a - 1)**2/5
Let q = 47 - 33. Suppose -3*y + 20 = q. Find u such that 98*u**3 - 60*u - 38*u**3 - 20 - 26*u**4 - 9*u**4 + 55*u**y = 0.
-1, -2/7, 1, 2
Let h(t) = -t**3 + 56*t**2 + 2239*t + 230. Let n be h(83). Find a such that -n - 1/4*a**2 - 8*a = 0.
-16
Let t(i) be the second derivative of 22*i - 1/114*i**4 + 4/57*i**3 + 0 + 12/19*i**2. Find m such that t(m) = 0.
-2, 6
Let v = -263 - -282. Let f be v + -19 - (1/(-1))/3. Determine o, given that f + 1/2*o - 1/3*o**2 = 0.
-1/2, 2
Find u such that 1056784/5 + 4116/5*u**2 + 4/5*u**3 + 1060896/5*u = 0.
-514, -1
Let y(l) be the first derivative of 121*l**5/4 + 1199*l**4/8 + 795*l**3/4 + 161*l**2/2 + 13*l + 808. Find x such that y(x) = 0.
-13/5, -1, -2/11
Suppose -29*n = 54944 - 55002. Find r such that 243/2*r - 19683/4 - 3/4*r**n = 0.
81
Let k(q) be the first derivative of q**4/2 + 697*q**3/21 - 432*q**2/7 + 153*q/7 + 3291. Factor k(m).
(m - 1)*(m + 51)*(14*m - 3)/7
Suppose 5*q - 120*k = -119*k - 3, 12 = 4*q + 4*k. Let z be 7/5 - 6/(-10). Determine b, given that q*b**4 + 0 - 1/6*b**5 + 0*b**z + 1/6*b**3 + 0*b = 0.
-1, 0, 1
Let q(i) be the third derivative of -i**6/1260 + 8*i**5/35 - 192*i**4/7 + 133*i**3/3 - 238*i**2. Let j(n) be the first derivative of q(n). Factor j(m).
-2*(m - 48)**2/7
Factor