derivative of l**3/2 - 57*l**2 - 480*l + 3111. Factor b(d).
3*(d - 80)*(d + 4)/2
Let u = 839 - 834. Suppose -u*x + 5*o = -5, -3*x - 1 + 20 = 5*o. Factor 0 - 2/3*g**2 - 7/3*g**x + 0*g.
-g**2*(7*g + 2)/3
Let b = 8485 - 8485. Let v(z) be the third derivative of -1/150*z**5 + 20*z**2 + b*z - 20/3*z**3 + 1/3*z**4 + 0. Factor v(p).
-2*(p - 10)**2/5
Suppose 3 = 3*i + s, -4*i - 1310*s - 4 = -1306*s. Find r, given that -16/13*r**i + 0 - 2/13*r**3 + 18/13*r = 0.
-9, 0, 1
Factor -46/3*r - 1/3*r**2 - 56.
-(r + 4)*(r + 42)/3
Suppose -4*z - 24 = -3*c, 9*c - 3*z - 18 = 8*c. Let m(i) be the third derivative of c + 0*i + 0*i**3 - 5/36*i**4 - 15*i**2 - 1/90*i**5. Factor m(j).
-2*j*(j + 5)/3
Suppose 17*m**3 - 73*m**2 - 112*m**3 - 1176696 - 112*m**2 + 1775*m + 1175196 + 5*m**4 = 0. What is m?
-5, 1, 3, 20
Let b(v) be the second derivative of -v**4/4 - 68*v**3 - 405*v**2/2 - 323*v - 3. Suppose b(d) = 0. What is d?
-135, -1
Factor 0 - 3/5*q**2 + 534/5*q.
-3*q*(q - 178)/5
Let x(o) = o**2 - 17*o - 20. Let v(d) = 8*d**2 - 152*d - 180. Let l(s) = 12*s + 6. Let q be l(0). Let n(c) = q*v(c) - 52*x(c). Find k such that n(k) = 0.
-5, -2
Let z(n) be the third derivative of -n**8/2016 + 239*n**7/1260 - 47*n**6/144 - 143*n**5/72 + 59*n**4/36 + 119*n**3/9 - 2*n**2 + 91*n. Find p such that z(p) = 0.
-1, 1, 2, 238
Let a(z) be the second derivative of z**4/18 - 256*z**3/9 + 508*z**2/3 + 2*z - 13. Factor a(x).
2*(x - 254)*(x - 2)/3
Suppose -5*l - 80 = 5*h - 10*h, -3*l = -h + 20. Suppose 0 = 3*x + 5*t - 1, 7*x - 4 = 6*x + 2*t. Factor -308*v - 36*v**2 + 15*v**3 - 10 - h*v**x + 353*v.
5*(v - 2)*(v - 1)*(3*v - 1)
Let g(j) be the first derivative of j**3/3 + 40*j**2 + 231*j - 2829. Find q such that g(q) = 0.
-77, -3
Let t(b) be the first derivative of -b**3 - 1/2*b**6 + 0*b - 159 + 9/4*b**4 - 3*b**2 + 3/5*b**5. Solve t(o) = 0 for o.
-1, 0, 1, 2
Let w = 21/2 - 49/10. Let s be ((-7)/2)/(5/(-10)) + 130/(-50). Suppose 0 + s*j**2 - 4/5*j - w*j**3 = 0. Calculate j.
0, 2/7, 1/2
Let a(g) be the first derivative of -100 + 3*g + 1/3*g**3 - 2*g**2. Factor a(j).
(j - 3)*(j - 1)
Let g(l) = 89*l - 14. Let u be g(10). Factor 2*h + u - 876 - 2*h**3.
-2*h*(h - 1)*(h + 1)
Let y(i) = -3*i**3 - 12*i**2 + 47*i + 132. Let b(n) = -n**3 - n**2 - n + 1. Let h(q) = -10*b(q) + 5*y(q). Let h(a) = 0. Calculate a.
-13, -2, 5
Factor -3/2*v**2 + 117/2*v + 0.
-3*v*(v - 39)/2
Suppose -3*z + 3 = 0, 89*z = -3*u + 88*z + 253. Let y be ((-16)/u)/(36/(-126)). Factor y*r**5 - 2/3*r**3 + 0 + 0*r**4 + 0*r + 0*r**2.
2*r**3*(r - 1)*(r + 1)/3
Let w(y) be the third derivative of -1/105*y**5 + 0*y - 3 + 2*y**2 + 1/14*y**4 + 0*y**3. Factor w(q).
-4*q*(q - 3)/7
What is f in 2/11*f**2 + 42/11*f + 208/11 = 0?
-13, -8
Suppose 7*g = 2*z + 10*g - 7, 0 = z + g - 5. Let y(h) = 4*h + 2. Let n be y(2). Determine p, given that -5*p + 60*p**2 - n - 18*p - 35*p**3 + z*p = 0.
-2/7, 1
Let k be (1 + 42/(-40))/(-2). Let g(y) be the second derivative of 10*y + 0*y**4 + k*y**5 + 0*y**3 + 0*y**2 + 0. What is u in g(u) = 0?
0
Let c(s) be the first derivative of s**7/1120 + s**6/480 - s**5/80 + 93*s**3 + 50. Let j(h) be the third derivative of c(h). Factor j(y).
3*y*(y - 1)*(y + 2)/4
Let c(b) = -b**3 + 612*b**2 - 1217*b + 628. Let u(v) = 9*v**3 - 6120*v**2 + 12171*v - 6291. Let x(y) = -21*c(y) - 2*u(y). Factor x(i).
3*(i - 202)*(i - 1)**2
Let r be 942/18 + (-2 - (-16)/6). Suppose 4 = j - r. Determine t, given that -73 + 79 + 38*t**2 - 146*t**2 - 45*t - j*t**3 = 0.
-1, 2/19
Find m such that -1/3*m**4 + 29/3*m**2 + 19/3*m**3 - 57*m - 60 = 0.
-3, -1, 3, 20
Let x = -2418 + 2419. Let o(l) be the first derivative of 0*l - x + l**4 - 2/5*l**5 + 0*l**2 - 2/3*l**3. Determine s so that o(s) = 0.
0, 1
Factor 23176 - 22872 + 58*j**2 + 4*j**3 + 82*j**2 - 448*j.
4*(j - 2)*(j - 1)*(j + 38)
Let i = 301 - 3611/12. Let p(w) be the first derivative of i*w**5 + 0*w**2 + 0*w + 11 - 1/6*w**4 + 1/12*w**3. Let p(t) = 0. What is t?
0, 3/5, 1
Let s = 22154 - 22154. Let l(q) be the third derivative of 0 - 1/16*q**3 + 31*q**2 + s*q + 1/160*q**5 + 0*q**4. Factor l(i).
3*(i - 1)*(i + 1)/8
Let v(d) = 5*d**4 + 3315*d**3 + 369635*d**2 + 13676335*d. Let y(l) = -7*l**4 - 4971*l**3 - 554453*l**2 - 20514505*l. Let p(f) = -8*v(f) - 5*y(f). Factor p(s).
-5*s*(s + 111)**3
Let q(u) be the third derivative of -u**6/420 + u**5/70 + 11*u**4/28 - 5*u**3/3 + u**2 - u - 1051. Find h, given that q(h) = 0.
-5, 1, 7
Let r(q) = q**3 - 32*q**2 + 30*q + 197. Let g be r(31). Suppose -g*s + 18 = -157*s. What is k in -s*k - 1/4*k**2 - 7/4 = 0?
-7, -1
Let c(o) = 3*o - 1 + o**2 - 2*o + 0*o - 2*o. Let t(h) = 2*h**2 + 12*h + 1. Let r(k) = -3*c(k) - t(k). Suppose r(i) = 0. What is i?
-2, 1/5
Suppose 98 = -5*u + 3*n + 413, 0 = -3*n. Let t = 31 + -29. Factor -7*z**t - 17 + 2 - 5*z**2 - u*z.
-3*(z + 5)*(4*z + 1)
Factor 127*m + 382*m**2 - 37 - 12 + 44 + 257*m**3 + 2*m**4 + 5.
m*(m + 1)*(m + 127)*(2*m + 1)
Let l(u) = 54*u**3 - 215*u**2 - 148*u + 17. Let b(d) = 26*d**3 - 106*d**2 - 74*d + 10. Let y(r) = -13*b(r) + 6*l(r). Factor y(w).
-2*(w - 7)*(w + 1)*(7*w - 2)
Suppose -i - 43 = -208*n + 206*n, -n + 5*i - 1 = 0. Let j(a) be the third derivative of 1/330*a**5 + 2/11*a**3 + 5/132*a**4 + n*a**2 + 0 + 0*a. Factor j(l).
2*(l + 2)*(l + 3)/11
Let z(g) be the second derivative of -g**6/150 + 19*g**5/100 + 41*g**4/60 + 7*g**3/10 - 185*g + 2. Factor z(r).
-r*(r - 21)*(r + 1)**2/5
Suppose 766*v - c - 16 = 763*v, -3*v = 5*c + 26. Let g = 1127/18 + -442/9. Factor -g*b**2 - 39/2*b**4 + 0 - 3*b + 36*b**v.
-3*b*(b - 1)**2*(13*b + 2)/2
Let w = 61988 + -185960/3. Factor -32/3*p + w*p**3 + 0 + 28/3*p**2.
4*p*(p - 1)*(p + 8)/3
Let a(b) = -2*b**3 + 4*b - 2. Let w(p) = -2*p**3 - 116*p**2 - 56*p + 12. Let s(z) = -6*a(z) - w(z). Suppose s(d) = 0. What is d?
-8, -2/7, 0
Let l(o) be the first derivative of -68 + 0*o + 8/3*o**2 + 4/9*o**3. Factor l(m).
4*m*(m + 4)/3
Let l(w) be the first derivative of -5*w**6/12 - 15*w**5/2 + 455*w**4/8 - 865*w**3/6 + 345*w**2/2 - 100*w - 4412. Determine z so that l(z) = 0.
-20, 1, 2
Let g = 120419/15 + -40113/5. Find m, given that -g*m + 4*m**3 + 4 - 2/3*m**5 - 23/3*m**2 + 5/3*m**4 = 0.
-2, -1, 1/2, 2, 3
Let q(z) be the third derivative of -z**8/47040 - z**7/2352 - z**6/280 + 11*z**5/30 + 46*z**2. Let l(p) be the third derivative of q(p). What is g in l(g) = 0?
-3, -2
Factor 39*p**2 - 540*p - 170*p**3 - 49*p**3 + 1581*p + 6*p**3 + 3*p**4 + 630 + 156*p**2.
3*(p - 70)*(p - 3)*(p + 1)**2
Let x = 776 + -405. Find c such that 106*c**2 - 11 + 0 - 343*c**5 - 98*c**4 - 28*c + 1 + x*c**3 + 2 = 0.
-1, -2/7, 2/7, 1
Let l(z) = -2*z**3 + 9*z**2 + 8*z - 11. Let f be l(5). Let y(d) be the first derivative of -3*d**f - 3*d - 6*d**3 + 12 - 6*d**2 - 3/5*d**5. Factor y(a).
-3*(a + 1)**4
Suppose -40*j + 990 = -34*j. Factor 0 - 166*t**3 + j*t**3 + 2*t**2 + 0.
-t**2*(t - 2)
Let h(a) be the first derivative of a**3/18 + 7*a**2/3 - 31*a/2 - 2522. Determine n, given that h(n) = 0.
-31, 3
Let p be (-166)/(-120) - -6*(-29)/1305. Find c such that 1 - p*c + 1/4*c**2 = 0.
1, 4
Suppose 0 = -5*b + 86 + 64. Suppose l + b = 35. Factor 5*i + 12*i**3 + 5*i**5 - 9*i**2 - 9*i**l + 4*i**4 - 11*i**2 + 3*i.
-4*i*(i - 1)**3*(i + 2)
Let i(s) be the third derivative of -154*s**2 + 0 + 0*s - 13/6*s**4 - 1/10*s**6 + 14/3*s**3 - 23/15*s**5. Find r, given that i(r) = 0.
-7, -1, 1/3
Suppose 623*d - 535*d - 176 = 0. Find o, given that 1/2*o**3 - d + 9/2*o - 3*o**2 = 0.
1, 4
Suppose 4*a - 4*f + 40 = 0, 1154*a - 22 = 1151*a - f. Find w such that -3/8*w**a + 3/2*w**2 + 0 - 3/2*w = 0.
0, 2
Determine y, given that 4*y**2 + 0 + 8*y + 1/2*y**3 = 0.
-4, 0
Let f(q) be the first derivative of -q**3 - 4956*q**2 - 8187312*q - 3052. Factor f(w).
-3*(w + 1652)**2
Let q = -1 + 7. Suppose 0 = 3*i - 2*y + q*y + 6, -3*i + 5*y + 21 = 0. Solve 5*p - 10*p**2 + 4*p**i + 5 + p**2 - 5*p**3 = 0.
-1, 1
Suppose 5*h - 4*a = a + 30, 0 = -3*h + 2*a + 14. Suppose -h = -2*c + 6, -f + 4*c + 112 = 0. Determine l so that -2 + 2*l**2 + 3*l + f*l**3 - 130*l**3 - l = 0.
-1, 1
Let l(n) = 20*n**4 + 190*n**3 + 675*n**2 + 475*n. Let c(o) = -29*o**4 - 286*o**3 - 1012*o**2 - 713*o. Let b(m) = -5*c(m) - 7*l(m). Factor b(j).
5*j*(j + 1)*(j + 3)*(j + 16)
Let r = 943 - 923. Let v be (-96)/(-18) + 7/((-28)/r). Factor 0*x**3 + v*x**5 - x**4 + 0*x + 4/3*x**2 + 0.
x**2*(x - 2)**2*(x + 1)/3
Factor 16608*m 