32))/((-6)/24). Let i(c) be the second derivative of 0 + 9*c - 2/5*c**2 + 1/100*c**y + 4/15*c**3 - 1/12*c**4. Factor i(p).
(p - 2)**2*(p - 1)/5
Let z(f) = 15*f**3 + 14*f**2 - 22*f - 29. Let m(h) = 8*h**3 + 7*h**2 - 12*h - 15. Let s(w) = 11*m(w) - 6*z(w). Solve s(o) = 0 for o.
-3, -3/2, 1
Let h be (15/24*-1*4)/(23005/(-18404)). Factor 0*k**3 + 0 + 1/6*k**4 - 7/6*k**h - k.
k*(k - 3)*(k + 1)*(k + 2)/6
Let o = 893354/3 - 297784. Let 2560/3*f + o*f**5 + 2048/3 + 1280/3*f**2 + 40/3*f**4 + 320/3*f**3 = 0. Calculate f.
-4
Let t(k) = 36*k + 8. Let l be t(1). Let v be (-10)/(-24) + 11/l. Factor -4 - v*b**2 + 10/3*b.
-2*(b - 3)*(b - 2)/3
Let y be ((-8 + (-6)/(-12)*16)/(-4))/4. Let h(g) be the first derivative of 0*g**3 - 1/28*g**4 + y*g + 1/35*g**5 + 0*g**2 - 3. Factor h(r).
r**3*(r - 1)/7
Let v be (-14)/4 + 30849/4746. Find x, given that -82/9*x + 38/9*x**2 + 14/3 + 2/9*x**v = 0.
-21, 1
Let m = -116451 + 116453. Factor 0*y + 5/6*y**m + 0 - 1/2*y**3.
-y**2*(3*y - 5)/6
Let n be -23 + (-40 - (-17316)/252). Factor n + 12/7*y - 4/7*y**2.
-4*(y - 5)*(y + 2)/7
Solve 588*w**2 - 20*w**3 - 10363 + 2408*w - 11548 + 20855 = 0 for w.
-4, 2/5, 33
Let f = 1193448 + -9547543/8. Determine g so that 81/8*g**5 + 117/8*g**4 - f*g**3 - 5*g - 113/8*g**2 - 1/2 = 0.
-1, -2/9, 1
Let f(i) be the first derivative of -3*i**5/25 + 153*i**4/20 - 135*i**3 + 375*i**2/2 - 2076. Factor f(a).
-3*a*(a - 25)**2*(a - 1)/5
Let o(w) be the second derivative of 6*w - 1/4*w**4 + 3 - 1/24*w**3 - 1/16*w**5 + 3/4*w**2. Factor o(t).
-(t + 1)*(t + 2)*(5*t - 3)/4
Suppose -36 = -6*p - 24. Factor -2*v + 578 + 2*v**p - 298 - 292.
2*(v - 3)*(v + 2)
Let z(t) be the second derivative of t**5/10 + 6*t**4 + 356*t**3/3 + 576*t**2 + 182*t. Suppose z(l) = 0. Calculate l.
-18, -16, -2
Factor -2/7*w**4 - 24/7*w - 2*w**3 - 32/7*w**2 + 0.
-2*w*(w + 2)**2*(w + 3)/7
Let w be (-25)/125 - (-9 - 258/(-30)). Let q = -4 - -8. Factor -w*r**3 + 1/5*r**q + 0*r**2 + 0 + 0*r.
r**3*(r - 1)/5
Suppose 74*m + 410 = 84*m. Solve 14 + 22 - 38*n - m - 12*n - 45*n**2 = 0.
-1, -1/9
Suppose 7*l - 14 = -98. Let v be 4/l*(-105)/5. Factor -s + 18*s**2 - 1 + v - 19*s**2.
-(s - 2)*(s + 3)
Let d(w) = -43*w**2 - 44*w + 239. Let y(u) = -4*u**2 + 1. Let o(c) = -5*d(c) + 55*y(c). Determine s, given that o(s) = 0.
6, 38
Let k be ((-15)/5 - (-267)/117)/(15 - 423/27). Find s, given that -6/13*s + k*s**2 - 8/13*s**3 + 0 = 0.
0, 3/4, 1
Let w = -9482/7 - -9484/7. Suppose 0 + 0*f**2 - 4/7*f**3 + 0*f + 2/7*f**4 + w*f**5 = 0. What is f?
-2, 0, 1
Suppose 2*s - 4 = -0*s. Let f(m) = m**3 + 20*m**2 + 1673*m + 37777. Let n be f(-22). Let s + 1/2*q**n - 1/2*q - 2*q**2 = 0. Calculate q.
-1, 1, 4
Let 227/3*l - 1/3*l**2 - 224 = 0. Calculate l.
3, 224
Suppose -66 + 102 = 6*z. Let x(y) = -y**3 + y**2 - 2. Let w(f) = -38*f**3 - 102*f**2 - 60*f + 4. Let k(h) = z*x(h) + w(h). Factor k(v).
-4*(v + 1)**2*(11*v + 2)
Let z(i) = -10*i**4 + i**3 + 94*i**2 + 292*i + 230. Let m(n) = 7*n**4 - n**3 - 63*n**2 - 194*n - 154. Let x(f) = 7*m(f) + 5*z(f). Let x(c) = 0. Calculate c.
-4, -3, -1, 6
Let g = 493341/4 - 123334. Factor -1/4*k**4 - g*k**2 - k**3 - 1/2*k + 0.
-k*(k + 1)**2*(k + 2)/4
Let o(y) be the second derivative of -y**6/2160 + y**5/90 - y**4/12 - 8*y**3/3 - 187*y. Let i(t) be the second derivative of o(t). Factor i(w).
-(w - 6)*(w - 2)/6
Let f be 0 - 8/960 - 30/(-225). Let a(b) be the second derivative of 16*b + 3/4*b**2 - 2/3*b**3 - f*b**4 + 0. Suppose a(z) = 0. What is z?
-3, 1/3
Suppose -9*l = -2*l - 728. Let r(s) = 3*s**3 - 2*s**3 - 108*s + s**2 + l*s. Let x(a) = 3*a. Let f(d) = 3*r(d) + 2*x(d). Factor f(q).
3*q*(q - 1)*(q + 2)
Let z(i) = i**2 + i - 1. Let h(m) = 1250*m**3 - 2397*m**2 - 195*m - 7. Let c(u) = 2*h(u) - 6*z(u). Factor c(k).
4*(k - 2)*(25*k + 1)**2
Let y(d) = 24*d**2 - 8418*d - 23. Let k(i) = -4*i**2 + 1404*i + 4. Let s(a) = -23*k(a) - 4*y(a). Factor s(p).
-4*p*(p - 345)
Let i(x) = 835*x**2 - 3220*x + 3235. Let b(c) = 59*c**2 - 230*c + 231. Let u(q) = -85*b(q) + 6*i(q). Factor u(t).
-5*(t - 45)*(t - 1)
Suppose 18*u - 50 = 130. Factor -2*x**4 - 3261*x**2 + 3261*x**2 + u*x**3.
-2*x**3*(x - 5)
Let g(y) be the third derivative of -y**5/120 - y**4/24 + 24*y**3 - 43*y**2 - y. Find j, given that g(j) = 0.
-18, 16
Let l(y) = -y**3 + 4*y**2 + 12*y - 17. Suppose -4 = p - 9. Let s be l(p). Suppose 5*g**2 - 9*g + s*g + 10 - 24*g = 0. What is g?
1, 2
Suppose 6*z + 4*z = 0. Let d be (z - 2)*(-623)/14. Find v, given that -3*v**2 - 6*v + d - 168 + 88 = 0.
-3, 1
Let h(w) be the first derivative of 31 + 2/3*w**6 + 44/5*w**5 + 64*w + 292/3*w**3 + 112*w**2 + 43*w**4. Factor h(j).
4*(j + 1)**3*(j + 4)**2
Let n be 3 + 3 + -4 + 1. Let s be (-1 + n)*(16/8)/2. Solve 0*g + 1/6*g**4 - 1/3*g**s + 1/6 + 0*g**3 = 0 for g.
-1, 1
Let i be ((-273)/104)/(72/(-80)). Let n(x) be the second derivative of 5*x**2 + 0 - 1/2*x**5 - 35/6*x**3 + i*x**4 + 21*x. Factor n(o).
-5*(o - 2)*(o - 1)*(2*o - 1)
Let r(x) be the third derivative of x**8/1680 - 53*x**7/1050 - 37*x**6/100 - 169*x**5/150 - 227*x**4/120 - 19*x**3/10 + 3516*x**2. Solve r(s) = 0 for s.
-1, 57
Let n be (3960/(-275))/((-259)/555). Let p be 2/(4 - 2) + 2. Let 78/7*y**2 - 6/7*y**p - 288/7*y + n = 0. What is y?
1, 6
Factor 1026 - 87/2*b - 3/4*b**2.
-3*(b - 18)*(b + 76)/4
Suppose -12 = -8*a + 12. Factor 83*o**2 + o**4 - a*o**3 - 40*o**2 - 52*o**2 + 27*o.
o*(o - 3)**2*(o + 3)
Let z(s) = s**2 + 280*s + 19895. Let k(b) = 4*b**2 + 1119*b + 79587. Let v(l) = 2*k(l) - 9*z(l). Factor v(y).
-(y + 141)**2
Let k be (5 - 6)/(3/(-42)). Suppose -k*n - 16 = -18*n - p, 5*n - 4*p + 1 = 0. Factor 0 + 0*h + 3/2*h**3 - n*h**2.
3*h**2*(h - 2)/2
Let v(w) = -w**3 - 606*w**2 - 2424*w - 2468. Let p(x) = 10*x**3 + 5455*x**2 + 21810*x + 22210. Let i(d) = 6*p(d) + 55*v(d). Suppose i(f) = 0. What is f?
-2, 124
Let p = 467125/4 + -116780. What is d in 3/4 + 1/4*d**2 + p*d - 1/4*d**3 = 0?
-1, 3
Let w be -8 + 0 + 1 + (-2 - -12). Let g(n) be the first derivative of -4 - 50*n - 10*n**2 - 2/3*n**w. Factor g(f).
-2*(f + 5)**2
Let r be ((52/(-8))/(-20 - -7))/((231/72)/7). Factor -r + 6*c**3 - 90/11*c**2 + 54/11*c - 18/11*c**4.
-6*(c - 1)**3*(3*c - 2)/11
Let a = 1616/49 - 2693/98. Determine g so that -2*g**5 + a*g**4 + 0 + 5*g**2 + 0*g + 43/2*g**3 = 0.
-2, -1/4, 0, 5
Let d be (-406)/580*24/(-7). Factor -8/5*c + 0 - 26/5*c**3 - 2/5*c**5 + d*c**4 + 24/5*c**2.
-2*c*(c - 2)**2*(c - 1)**2/5
Let a(v) be the third derivative of -1/195*v**5 + 7*v + 1/780*v**6 + 0 + 0*v**4 - v**2 + 0*v**3. Let a(j) = 0. What is j?
0, 2
Let h(l) be the third derivative of -l**6/180 - 182*l**5/45 - 725*l**4/36 - 362*l**3/9 + 337*l**2 - 4. Find p such that h(p) = 0.
-362, -1
Let g = -2/130155 + 1561886/1692015. What is n in -2/13*n**3 - 12/13*n**2 - 22/13*n - g = 0?
-3, -2, -1
Factor -56/5*j**2 - 12/5*j**3 - 32/5 - 76/5*j.
-4*(j + 1)**2*(3*j + 8)/5
Let m(h) be the third derivative of h**6/180 - h**5/30 - 20*h**4/3 - 1216*h**3/9 + 30*h**2 + 2. Solve m(r) = 0 for r.
-8, 19
Let j(m) be the third derivative of 0 + 0*m**3 + 0*m - 1/105*m**7 + 32/21*m**4 - 16/7*m**5 + 19/70*m**6 + 26*m**2. Factor j(b).
-2*b*(b - 8)**2*(7*b - 2)/7
Factor 325*x**3 - 1364*x**2 + x**5 - 624 - 3*x**5 - 64*x**4 + 34*x**3 + 1544*x + 151*x**3.
-2*(x - 2)**3*(x - 1)*(x + 39)
Let b = -4902 + 4904. Let x(f) be the first derivative of 0*f - 1/6*f**3 + 15 - 1/4*f**b. What is g in x(g) = 0?
-1, 0
Let s(c) be the second derivative of c**7/105 + c**6/15 - 4*c**5/25 - 2*c**4/5 - 871*c. Solve s(p) = 0 for p.
-6, -1, 0, 2
Let c(g) be the first derivative of -162/7*g + 37 - 9/7*g**4 + 160/21*g**3 + 18/7*g**2 + 2/35*g**5. Factor c(m).
2*(m - 9)**2*(m - 1)*(m + 1)/7
Let h(s) = -8*s**3 - 1 + 8*s - 6*s**2 + 9*s**3 + 2*s. Let a be h(4). Find r, given that 2*r**4 - 3*r**5 + r**5 + 8*r**4 + 5*r**3 + a*r**5 = 0.
-1, 0
Let i(s) be the second derivative of -45*s**6 + 16*s**2 - 2*s + 250/21*s**7 + 32*s**5 - 12 - 32*s**3 + 52/3*s**4. Find y such that i(y) = 0.
-1/2, 2/5, 2
Let p(t) be the second derivative of 7*t**6/10 - 67*t**5/10 - 89*t**4/12 - 7*t**3/3 + 177*t. Factor p(c).
c*(c - 7)*(3*c + 1)*(7*c + 2)
Solve -85995*l + 10068/5*l**3 + 18858*l**2 + 306/5*l**4 - 102900 + 3/5*l**5 = 0 for l.
-35, -1, 4
Let n(u) be the third derivative of u**5/90 + 143*u**4/36 - 226*u**2 + 4*u. Let n(h) = 0. Calculate h.
-143, 0
Suppose -p = -3*u - 11, p - 7*u - 4*u = 