 + 85*o**2 + 84*o. Let m(w) = 5*k(w) - 4*x(w). Factor m(t).
-5*(t - 6)**2
Let b(i) = -15*i**2 - 307*i - 138. Let g be b(-20). Let -98/3*l**5 - 14/3*l**4 + 164/3*l**3 + 6 - 22*l - 4/3*l**g = 0. What is l?
-1, 3/7, 1
Suppose -73*s - 56*s = 0. Let x = 523/2695 + -3/245. Factor 4/11*m - 6/11*m**2 + x*m**3 + s.
2*m*(m - 2)*(m - 1)/11
Let u = -108278 - -108280. Factor 0 + 1/6*q**3 + 2/3*q + 5/6*q**u.
q*(q + 1)*(q + 4)/6
Let z = -37 - -60. Factor -22 + 61*k - z - 101*k + 5*k**2.
5*(k - 9)*(k + 1)
Let l(m) be the first derivative of 3*m**6/2 - 51*m**5/5 - 63*m**4/4 + 121*m**3 + 243*m**2 + 120*m + 384. Find k such that l(k) = 0.
-2, -1, -1/3, 4, 5
Let y be (-7002)/(-60)*(0 - (-6)/(-9)). Let m = y - -79. Factor 1/5*l**5 - 4/5*l**2 + 1/5*l + m*l**3 - 4/5*l**4 + 0.
l*(l - 1)**4/5
Suppose -13*x = -41*x + 168. Let f(s) = -4*s**2 + 26*s - 12. Let y be f(x). Factor 12/13*h**3 + 2/13*h + 8/13*h**2 + y + 2/13*h**5 + 8/13*h**4.
2*h*(h + 1)**4/13
Let f = 45113 + -45113. Solve 3/4*m - 1/2*m**2 + f - 1/4*m**3 = 0 for m.
-3, 0, 1
Suppose 289*x - 224 = -717*x - 367 + 2155. Factor 1/4*u**x + 9/2 + 9/4*u.
(u + 3)*(u + 6)/4
Let 57 - 3/4*j**2 - 45/4*j = 0. What is j?
-19, 4
Factor 187*p**3 - 192*p**3 - 94*p**2 - 24010 - 8386*p - 381*p**2 + 1281*p - 85*p**2.
-5*(p + 7)**2*(p + 98)
Factor l**3 - 2*l**3 + 199 + 75*l**2 - 165*l + 6*l**3 - 114.
5*(l - 1)**2*(l + 17)
Let n(i) be the second derivative of -3/40*i**5 + 2 - 1/72*i**4 + 1/6*i**3 + 1/45*i**6 + 0*i**2 - 29*i. Factor n(z).
z*(z - 2)*(z - 1)*(4*z + 3)/6
Let n = 469/2470 - 89/2470. Factor 48/13*l + 1536/13*l**3 + n + 2048/13*l**4 + 32*l**2.
2*(4*l + 1)**2*(8*l + 1)**2/13
Let m(y) be the third derivative of -5/56*y**4 - 1/7*y**3 + 1/490*y**7 + 0*y + 2 + 1/280*y**6 - 3/140*y**5 - y**2. Let m(a) = 0. Calculate a.
-1, 2
Let u(t) = t**2 + t - 4. Let x be u(-3). Let f be (12 - (-12)/(-2268)*2261)/(1/114). Determine y, given that 20/9 - f*y + 2/9*y**3 + 16/9*y**x = 0.
-10, 1
Let o = 2190 - 2171. Let z(b) be the second derivative of -o*b + 5/12*b**4 + 0 + 0*b**2 - 1/4*b**5 - 1/6*b**6 + 5/6*b**3. Factor z(u).
-5*u*(u - 1)*(u + 1)**2
Let d(b) be the first derivative of 0*b + 6*b**2 + b**4 - 20/3*b**3 + 4/5*b**5 + 21. Let d(u) = 0. What is u?
-3, 0, 1
Let f(k) be the third derivative of 0*k**3 - 13/210*k**5 + 1/14*k**4 + 18 - 1/735*k**7 + 0*k + 2/105*k**6 + 5*k**2. Factor f(l).
-2*l*(l - 6)*(l - 1)**2/7
Let g = -31/2617 - -24202233/18319. Let r = g - 1320. Factor -20/7*i + 16/7*i**2 + r - 4/7*i**3.
-4*(i - 2)*(i - 1)**2/7
Let g = -14 + 45. Let h = g + -27. Factor -67*i**2 - 5*i + 4*i**3 + i + 4*i**h + 63*i**2 + 0*i**3.
4*i*(i - 1)*(i + 1)**2
Let z = -88 + 90. Let 25*o**z - 102*o - 16*o**3 + 72*o + 21*o**3 = 0. What is o?
-6, 0, 1
Suppose -3*h + 1 = -11. Let y = 250 + -248. Factor -3*a**4 + y*a**h - 2*a + 1 - 2*a**3 + 4*a.
-(a - 1)*(a + 1)**3
Let x(h) be the third derivative of 1/945*h**7 - 47/270*h**5 + 1/90*h**6 - 44/27*h**3 + 0*h + 7/9*h**4 + 0 + 154*h**2. What is j in x(j) = 0?
-11, 1, 2
Let l(r) = -11*r**2 - 19*r + 3. Let i be l(-2). Let x be -8 - (-130)/15 - (-2)/i. Let -1/9*z + x + 1/9*z**3 + 0*z**2 = 0. What is z?
-1, 0, 1
Factor -20*z + 4/5*z**2 + 96/5.
4*(z - 24)*(z - 1)/5
Let r(z) be the first derivative of -z**6/1800 + z**5/100 - z**4/24 - 70*z**3/3 - 53. Let o(u) be the third derivative of r(u). Factor o(c).
-(c - 5)*(c - 1)/5
Let u(q) be the first derivative of -q**4/6 - 16*q**3/3 - 15*q**2 + 10*q - 203. Let o(m) be the first derivative of u(m). Factor o(t).
-2*(t + 1)*(t + 15)
Suppose 6*z - 2*z - 8 = 0. Suppose z*g + 5*l = -11, 0 = 5*g - 4*g - l - 5. Factor -8*o**2 + g - 110 - o**2 - 36*o + 6*o**2.
-3*(o + 6)**2
Factor 2*v**3 - 1/2*v**4 + 3*v**2 - 18*v + 27/2.
-(v - 3)**2*(v - 1)*(v + 3)/2
Let z(c) be the second derivative of -2*c**3 - 4*c + 0*c**2 + 1/8*c**5 + 9 - 29/12*c**4. Determine t so that z(t) = 0.
-2/5, 0, 12
Let r(h) = -h**2 - 98*h - 1868. Let f be r(-72). Let p(y) be the first derivative of 1/2*y**f + 16 + 0*y - y**2 + 0*y**3. Factor p(v).
2*v*(v - 1)*(v + 1)
Let a(g) be the third derivative of g**8/336 + g**7/56 + g**6/36 - 14*g**3/3 + 2*g**2 - 2*g. Let b(j) be the first derivative of a(j). Factor b(n).
5*n**2*(n + 1)*(n + 2)
Let y = 209 + -81. Factor -127*b**2 + 20 + y*b**2 - b + 13*b.
(b + 2)*(b + 10)
Let c(o) be the first derivative of o**8/168 - o**7/105 - o**6/60 + o**5/30 + 3*o**2 - 2*o + 5. Let y(p) be the second derivative of c(p). Solve y(l) = 0 for l.
-1, 0, 1
Let c = 600 + -7195/12. Let m(g) be the third derivative of 0*g - 1/12*g**5 + 1/3*g**6 + 0 - c*g**4 - 5/42*g**7 - 14*g**2 + 0*g**3. Let m(l) = 0. What is l?
-2/5, 0, 1
Let m(v) be the first derivative of -3/2*v + 1/8*v**4 - 5/4*v**2 - 1/6*v**3 + 79. Determine o so that m(o) = 0.
-1, 3
Suppose -9*f - 43517 + 43553 = 0. Let l be (-5)/15*-6 - (-10)/(-16). Find t such that 15/4*t**f - 1/2*t - 3/2*t**2 + l*t**3 + 0 - 25/8*t**5 = 0.
-2/5, 0, 1
Let a be 2 + 2 + (-7)/7 + (11 - 12). Let l(x) be the first derivative of -a - 1/16*x**4 + 1/4*x**2 + 0*x + 1/12*x**3. Factor l(v).
-v*(v - 2)*(v + 1)/4
Let g = 1728 + -1718. Let t be 95/95 + (-4)/g. Solve -36/5*a - t*a**3 - 18/5*a**2 - 24/5 = 0 for a.
-2
Let u(p) = -p**2 - 15*p - 30. Let v = -27 + 15. Let g be u(v). Factor 11*a**4 - g*a**2 - 2*a**3 - 19*a**3 + 19*a**4 + 3*a - 42*a**4.
-3*a*(a + 1)**2*(4*a - 1)
Let f(y) = 4*y**2 - y. Let v(x) = -11*x**2 - 130*x - 270. Let o(m) = -3*f(m) - v(m). Factor o(s).
-(s - 135)*(s + 2)
Factor 0*t + 0*t**2 + 0 + 36/5*t**4 + 2/5*t**5 + 162/5*t**3.
2*t**3*(t + 9)**2/5
Let o = 7258 - 7258. Let b(m) = m**2 + 5*m + 3. Let q be b(-5). Let -4/3*t**2 + o - 1/3*t**q - 4/3*t = 0. Calculate t.
-2, 0
Suppose 2*a**2 + 102/5*a + 108/5 = 0. Calculate a.
-9, -6/5
Suppose 2*a + 4*s - 28 = 0, -4*s + 0*s = -3*a - 18. Let h(r) be the first derivative of 0*r**a + 2*r**3 - 8*r + 2 + 1/2*r**4. Factor h(d).
2*(d - 1)*(d + 2)**2
Let h(c) be the second derivative of c**4/12 + c**3/3 - 11*c**2/2 + 97*c. Let o be h(3). Find s, given that 1/6*s - 1/6*s**o + 1/2*s**3 - 1/2*s**2 + 0 = 0.
0, 1
Let t(x) be the second derivative of 142/45*x**3 + 5041/15*x**2 + x - 69 + 1/90*x**4. Factor t(f).
2*(f + 71)**2/15
Suppose 5*o + 12 = 3*o. Let p(r) = -r**3 - 8*r**2 - 12*r + 2. Let b be p(o). Factor 3*z + 2*z - 2*z**4 - 6*z**3 - 4*z**b - 5*z.
-2*z**2*(z + 1)*(z + 2)
Let c(p) be the first derivative of -27*p**4 - 240*p**3 - 408*p**2 - 256*p + 4651. Solve c(j) = 0 for j.
-16/3, -2/3
Factor -415*a**2 + 702*a + 223*a + 420*a**2 - 1680 - 95*a.
5*(a - 2)*(a + 168)
Let -16/13*a**3 + 2/13*a**4 - 6/13*a**2 + 32/13 + 44/13*a = 0. What is a?
-1, 2, 8
Let l(c) = -9*c**3 + 21*c**2 - 42*c + 21. Let m(p) = -7*p**3 + 21*p**2 - 42*p + 22. Let r = 657 + -660. Let d(g) = r*m(g) + 2*l(g). Factor d(v).
3*(v - 4)*(v - 2)*(v - 1)
Let f be (-4)/((-16)/102)*(55 + 61438/(-1122)). Determine v so that -f*v - 578/11 - 2/11*v**2 = 0.
-17
Let l = 1371/17 - 6821/85. Solve 4*a - l*a**2 - 32/5 = 0 for a.
2, 8
Let f be 24/28 - (1113/98 - 12). Let h = 303/200 + 9/25. Find p, given that h*p - f*p**2 - 3/4 + 3/8*p**3 = 0.
1, 2
Let p = 57 - 59. Let k be (-3 - (-10)/6)/(p/303). Find b such that -208 + k + b - 10*b - 3*b**2 = 0.
-2, -1
Let d(q) be the third derivative of q**6/120 - q**5/15 - 25*q**4/24 + 50*q**3/3 + 4375*q**2. Solve d(h) = 0 for h.
-5, 4, 5
Let t be (-5)/20 - ((-36)/(-624)*-183 - -10). Let t*d**4 + 0 + 0*d**2 + 6/13*d**3 - 2/13*d**5 + 0*d = 0. What is d?
-1, 0, 3
Let 29*b + 80 - 2*b**2 - 21*b - 19*b - b = 0. What is b?
-10, 4
Suppose -38 + 266 = 32*x + 132. Let i = 2/455 - -1802/4095. Determine o so that -i + 4/3*o**x + 4/9*o + 20/9*o**2 = 0.
-1, 1/3
Let l(q) = -q**2 - q. Let p(u) = u**2 - 24*u - 25. Let m(d) = d + 3. Let b be m(6). Suppose -b = 4*f - 5. Let x(o) = f*p(o) + 4*l(o). Factor x(j).
-5*(j - 5)*(j + 1)
Let y(x) be the second derivative of -x**6/40 - 273*x**5/80 + x**4/16 + 91*x**3/8 - 5161*x. Determine g so that y(g) = 0.
-91, -1, 0, 1
Let j(n) = -13961*n - 27922. Let x be j(-2). Factor 2/9*i**4 + 4/9*i**3 + x + 0*i**2 + 0*i.
2*i**3*(i + 2)/9
Let f(g) be the first derivative of 1/6*g**5 - 4*g**2 + 0*g**3 - 11 - 1/6*g**4 + 0*g. Let v(m) be the second derivative of f(m). Find c, given that v(c) = 0.
0, 2/5
Let d(u) = -25*u**3 + 5*u**2 + 5*u. Let h = -46 + 41. Let a(z) = -z**5 - 26*z**3 + 6*z**2 + 6*z. Let i(y) = h*a(y)