**5 + 14*o + 0*o**4 + 0*o**3 + 0*o**2 - 1/294*o**7. Factor l(c).
-c**3*(c - 1)**2/7
Let l(h) be the third derivative of -h**6/600 + h**5/50 + 7*h**4/120 + 11*h**2 - 5. Suppose l(x) = 0. What is x?
-1, 0, 7
Let i(q) be the second derivative of q**6/15 - q**5/10 - q**4 - 609*q. What is t in i(t) = 0?
-2, 0, 3
Let z = -65504 + 65519. Factor -z*r + 9/2*r**2 + 6 + 27/4*r**3.
3*(r + 2)*(3*r - 2)**2/4
Let a(l) be the first derivative of 2*l**3/15 + 11*l**2/5 - 952*l/5 + 2122. Let a(i) = 0. Calculate i.
-28, 17
Let p(k) = 2*k**3 - 24*k**2 - 28*k + 30. Let z be p(13). Suppose 0 = -3*x - 0*x - 4*r + 22, 0 = -5*x - r + 14. What is l in 12*l + z*l**x - 9 - 8*l - 39*l = 0?
-1/4, 9
Suppose 3*a - 127 - 14 = 0. Suppose f**5 - a*f**3 + 8*f**2 + 4*f**5 - 47*f**4 + 81*f**4 = 0. Calculate f.
-8, 0, 1/5, 1
Let m(z) = 42*z**3 - 166*z**2 + 88*z + 46. Let w(t) = 14*t**3 - 55*t**2 + 29*t + 15. Suppose -70 = -10*x + 17*x. Let h(q) = x*w(q) + 3*m(q). Factor h(f).
-2*(f - 3)*(f - 1)*(7*f + 2)
Let y(q) be the second derivative of -q**7/483 + 2*q**6/69 - 14*q**5/115 + 4*q**4/23 + 282*q. What is s in y(s) = 0?
0, 2, 6
Determine d, given that -152/5 - 2/5*d**2 - 46/5*d = 0.
-19, -4
Suppose 334*p + 372*p = -191*p + 9*p. Find k such that 128/7*k**4 + p*k + 0 - 96/7*k**3 + 18/7*k**2 = 0.
0, 3/8
Suppose 0 = -19*f + 68 + 27. Suppose -8*b = f*z - 3*b - 25, 2*b + 10 = 3*z. Determine v, given that 6 + 63/2*v**2 - 105/4*v**z - 177/4*v**3 + 33*v = 0.
-2, -2/5, -2/7, 1
Let b(g) = -15*g + 13*g**2 - 6 - 4 + 6 + 6*g. Let w(i) = 16*i**2 - 9*i - 5. Let v(p) = 5*b(p) - 4*w(p). Factor v(l).
l*(l - 9)
Let a = -599 - -601. Let u be (a + (-104)/48)*-52. Determine v so that 0 - u*v**3 - 8/3*v**4 - 2*v**2 + 0*v = 0.
-3, -1/4, 0
Let w(q) = -35*q**3 - 275*q**2 + 6215*q + 50. Let z(m) = -3*m**3 - 23*m**2 + 518*m + 4. Let x(r) = -2*w(r) + 25*z(r). Factor x(k).
-5*k*(k - 8)*(k + 13)
Let p(r) be the second derivative of r**5/20 - 3*r**4/4 - 41*r**3/3 - 60*r**2 + 965*r + 2. Solve p(c) = 0.
-4, -2, 15
Let f be (-30)/(-4)*(-208)/(-260). Suppose 6*v**4 - 4*v**5 - f*v**2 + 2*v**3 - 7*v**5 + 13*v**5 - 4*v - v**5 + v**5 = 0. Calculate v.
-2, -1, 0, 1
Suppose 22500 - 890*r**3 + 33498*r + 33546*r - 8922*r**2 - 32176*r**2 - 10194*r + 8852*r**2 - 6*r**4 = 0. Calculate r.
-75, -1/3, 2
Let g(m) be the third derivative of -7*m**6/180 - m**5/18 + 43*m**4/18 - 8*m**3/3 + 882*m**2. Determine r so that g(r) = 0.
-4, 2/7, 3
Let o(s) = 139*s**3 + 61*s**2 + 560*s + 570. Let w(y) = 49*y**3 + 20*y**2 + 187*y + 192. Let g(p) = -6*o(p) + 17*w(p). What is n in g(n) = 0?
-13, -12, -1
Let d(c) = -c**3 - 589*c**2 + 6*c + 336. Let i(s) = s**3 + 1179*s**2 - 11*s - 616. Let t(n) = 11*d(n) + 6*i(n). Factor t(v).
-5*v**2*(v - 119)
Let r(t) be the third derivative of -t**6/160 - 1109*t**5/80 - 2215*t**4/32 - 1107*t**3/8 + 2*t**2 + 922*t. Suppose r(k) = 0. Calculate k.
-1107, -1
Let u = -60978 + 60978. Solve 66/7*v**3 + 2*v + u - 72/7*v**2 - 8/7*v**4 = 0 for v.
0, 1/4, 1, 7
Factor 0 + 2739/5*c**2 - 3/5*c.
3*c*(913*c - 1)/5
Let l(n) be the second derivative of -n**4/78 + 295*n**3/39 - 294*n**2/13 + 93*n. Factor l(w).
-2*(w - 294)*(w - 1)/13
Let v(b) be the second derivative of 1 + 1/10*b**4 + 3/100*b**5 + 0*b**2 + 11*b + 1/10*b**3. Factor v(s).
3*s*(s + 1)**2/5
Let 6 - 62*t - 251*t**2 - 158*t**2 + 609*t**2 - 180*t**2 = 0. Calculate t.
1/10, 3
Let a be ((-35)/(-10))/(3948/752*14/6). Suppose 16/7*i + 0 - a*i**2 = 0. What is i?
0, 8
Let o(m) = -33 + 7 + 67*m - 57*m**2 + 1. Let x(p) = -13*p**2 - 9 - 3 + 33*p + 0*p - 15*p**2. Let c(z) = 6*o(z) - 14*x(z). Factor c(n).
2*(5*n - 3)**2
Solve -12*y**2 - 256/3 - 64*y - 2/3*y**3 = 0 for y.
-8, -2
Let w(r) be the first derivative of 3/4*r**3 - 3/4*r**4 + 2 - 3*r + 3/20*r**5 + 3/2*r**2. Factor w(f).
3*(f - 2)**2*(f - 1)*(f + 1)/4
Let o be (-9)/10 + -2*1/(-2). Let p(l) be the third derivative of 4/3*l**3 + 0*l - 10*l**2 - 11/12*l**4 - o*l**5 + 0. What is i in p(i) = 0?
-4, 1/3
Let y = -1050/19 + 4257/76. Let l(z) be the first derivative of y*z**2 - 13 + 1/2*z - 2/3*z**3. Determine x, given that l(x) = 0.
-1/4, 1
Let q be (290/(-36) + 3000/400)/(10/(-42)). Find z such that -1/3*z**4 - q*z**3 + 7/3*z + 2 - 5/3*z**2 = 0.
-6, -1, 1
Factor q**3 - 40*q**2 + 4 - 9*q + 86*q - 14 - 28.
(q - 38)*(q - 1)**2
Let p(q) be the first derivative of -q**5/10 - 39*q**4 - 24335*q**3/6 + 78*q**2 + 12168*q - 7177. Find o, given that p(o) = 0.
-156, -1, 1
Let t(i) be the first derivative of -26 - 6*i - 7/3*i**3 - 13/2*i**2. Factor t(g).
-(g + 1)*(7*g + 6)
Suppose 2*f - 32 = -0*f. Let q be 3/4 - ((-148)/f - -1). Factor 16*c**4 - q*c**3 + 5*c**3 - 16 + 20 + 12*c - 20*c**2 - 8*c**3.
4*(c - 1)**2*(c + 1)*(4*c + 1)
Factor -6*o**5 - 89*o**3 - 114*o**4 - 199*o**3 - 5*o**2 + 144 - o**2 - 24*o**4 + 285*o + 9*o**5.
3*(o - 48)*(o - 1)*(o + 1)**3
Let b(q) = -q**2 + q + 1. Let u(p) = -21*p**2 + 24*p - 294. Let i(a) = -6*a**2 + 7*a - 84. Let y(l) = -18*i(l) + 5*u(l). Let k(z) = -6*b(z) - y(z). Factor k(f).
3*(f - 4)*(f + 4)
Let l(k) = 1484*k - 209239. Let p be l(141). Find s such that 10/13*s**p + 12/13*s - 22/13*s**3 - 58/13*s**2 + 0 + 58/13*s**4 = 0.
-6, -1, 0, 1/5, 1
Suppose -o + 195 = 186. Factor o*x**3 + 13*x**2 - 12*x**4 + 9*x**2 + 3*x**5 - 12*x - 10*x**2.
3*x*(x - 2)**2*(x - 1)*(x + 1)
Let j(l) be the second derivative of -l**5/10 + 593*l**4/30 + 838*l**3/15 + 48*l**2 + 4532*l. Suppose j(t) = 0. Calculate t.
-1, -2/5, 120
Let t be ((-32)/24*-3)/((-270)/(-162) - 50/(-24)). Factor t*k**3 + 32/15 + 64/15*k + 16/5*k**2 + 2/15*k**4.
2*(k + 2)**4/15
Let h(o) be the first derivative of -o**5/70 + 4*o**4/21 - 5*o**3/7 - 206*o - 177. Let n(b) be the first derivative of h(b). Factor n(u).
-2*u*(u - 5)*(u - 3)/7
Let p(r) = 2*r**2 + 23*r - 8. Let a be p(-12). Factor -36*k**2 - a*k**3 - 144*k - 16*k**2 - 5*k**2 + 9*k**2.
-4*k*(k + 6)**2
Suppose -15*k + 37 = -113. Let i be 5/(k/(-60)*-45). Let 28/3*w**2 + i*w**5 - 2*w - 10/3*w**4 + 4/3*w**3 - 6 = 0. What is w?
-1, 1, 3
Suppose 15 + 0 = 3*k + 2*x, -4*x = -2*k - 6. What is y in -130*y + 75*y**2 - 5*y**k + 44 + 295*y + 16 + 25 = 0?
-1, 17
Let q(t) be the third derivative of 2*t**6/255 - 31*t**5/510 + 5*t**4/51 + t**3/17 + 3931*t**2. Find l such that q(l) = 0.
-1/8, 1, 3
Let n = 184122 + -184122. What is h in -4/3*h**3 + n + 1/6*h**5 + 2*h**2 + 0*h - 1/6*h**4 = 0?
-3, 0, 2
Let k(u) be the third derivative of 1/16*u**4 + 0*u + 0 - 110*u**2 + 1/4*u**3 + 1/160*u**5. Let k(f) = 0. Calculate f.
-2
Suppose 21*k - 283 = 452. Factor -204*t + 0*t**3 + 4*t**4 + 31*t**4 - k*t**2 + 10*t**3 + 194*t.
5*t*(t - 1)*(t + 1)*(7*t + 2)
Let q be 7/42 - (208/520 + (-26)/60). Let -3/5*z**4 - 3/5 + 6/5*z**2 - q*z**5 + 2/5*z**3 - 1/5*z = 0. What is z?
-3, -1, 1
Suppose -16/3 - 176/3*o**2 - 32*o - 140/3*o**3 - 17*o**4 - 7/3*o**5 = 0. Calculate o.
-2, -1, -2/7
Let t(m) = -5*m**2 - 16*m - 9. Let r be ((-76)/(-6) + 4/(-6))/(-2). Let o(q) = 4*q**2 + 15*q + 6. Let f(i) = r*o(i) - 5*t(i). Find v such that f(v) = 0.
1, 9
Let l be (6/5)/((-6)/(-15)). Suppose -7 + 8*z + 4*z**2 - 29 - 8*z**l + 36 - 4*z**4 = 0. What is z?
-2, -1, 0, 1
Let z = -38789 - -38800. Let q(m) be the second derivative of 21*m**2 - 1/4*m**4 + 0 + 13/2*m**3 + z*m. Factor q(n).
-3*(n - 14)*(n + 1)
Let d(k) be the second derivative of k**4/4 + 39*k**3 + 4563*k**2/2 - k - 66. Factor d(u).
3*(u + 39)**2
Let x = 96557 + -96557. Let -9/5*p - 21/5*p**2 - 3*p**3 - 3/5*p**4 + x = 0. Calculate p.
-3, -1, 0
Let q(t) = -t**2 + t + 2. Suppose -11*k + 22 = 33. Let m(d) = d**2 + d - 1. Let i(f) = k*q(f) - 2*m(f). Let i(l) = 0. What is l?
-3, 0
Let u(s) = -2*s**2 + 166*s + 2940. Let v be u(98). Let r(h) be the third derivative of 1/20*h**5 + 10*h**2 + 1/8*h**4 + 0*h - h**3 + v. Solve r(l) = 0.
-2, 1
Let x(z) = -992*z + 45636. Let q be x(46). Solve -24/13*s + 140/13*s**5 - 8/13 + 366/13*s**q + 62/13*s**2 + 304/13*s**3 = 0 for s.
-1, -1/2, -2/5, 2/7
Let o = 1444/159 + -22/53. Let i(v) be the first derivative of 22*v + o*v**3 + 45 + 1/2*v**4 + 23*v**2. Solve i(m) = 0 for m.
-11, -1
Let t = 1856 - 27838/15. Let h(m) be the second derivative of t*m**2 + 1/225*m**6 + 1/30*m**5 - 4*m + 0 + 1/10*m**4 + 7/45*m**3. Factor h(x).
2*(x + 1)**3*(x + 2)/15
Let f(x) be the second derivative of -x**4/6 - 5386*x**3/3 - 7252249*x**2 + 658*x - 4. Determine p, given that f(p) = 0.
-2693
Suppose -