m**2 - 71*m + 15267. Let w be d(215). Factor 68/7*o - w + 10/7*o**2.
2*(o + 7)*(5*o - 1)/7
Let t be 6*(-1 + 25/21 - 1009/(-7063)). Factor 48 - 12*l + 3/4*l**t.
3*(l - 8)**2/4
Suppose -5*n - 4 = 4*d, -2*d - 5 + 3 = -n. Let t = 14/5 + d. Determine m, given that 87/5*m**4 - 126/5*m**2 - 5 - 38*m**3 + 27*m - t*m**5 = 0.
-1, 1/3, 5
Let l(z) be the third derivative of z**6/1140 - 179*z**5/570 - 19*z**4/12 - 181*z**3/57 + 4*z**2 - 134*z. Solve l(p) = 0.
-1, 181
Let m(v) be the second derivative of -v**5/30 - 101*v**4/9 - 401*v**3/9 - 200*v**2/3 + 1704*v. What is l in m(l) = 0?
-200, -1
Let s(z) be the third derivative of 11/36*z**4 - 106*z - 1/9*z**5 - 1/180*z**6 + 0*z**3 + 0 + 2*z**2. Factor s(n).
-2*n*(n - 1)*(n + 11)/3
What is c in -217/8*c + 1035/4 + 1/8*c**2 = 0?
10, 207
Let n(l) = -2*l**2 - 53*l - 254. Let c(x) = -x**2 - 26*x - 126. Let i(u) = -14*c(u) + 6*n(u). Factor i(h).
2*(h + 8)*(h + 15)
Let u(y) be the third derivative of -y**6/80 + 211*y**5/60 + 47*y**4/16 - 1870*y**2. Find l such that u(l) = 0.
-1/3, 0, 141
Factor -5832 - 1620*t - 1/3*t**5 + 45*t**3 + 0*t**4 + 90*t**2.
-(t - 9)**2*(t + 6)**3/3
Let k(t) = -2*t**2 - 19*t - 1. Let c be k(-9). Let z be c*(-2)/((-16)/3). Suppose -3*g**4 + 15 + 0 - 15 + 3*g - z*g**3 + 3*g**2 = 0. Calculate g.
-1, 0, 1
Let k be 12/(-8340)*(6 + -4). Let x = k + 11823/2780. Suppose 11/2*p**2 + x*p**4 + 1/4 - p**5 - 2*p - 7*p**3 = 0. Calculate p.
1/4, 1
Let d = 1451396/9 - 161266. Let 2/9*l - d*l**2 + 4/9 = 0. Calculate l.
-1, 2
Find u, given that 10*u**4 + 21*u - 56*u - 9*u**4 - u**2 - u**3 + 36*u = 0.
-1, 0, 1
Suppose -4*l - 24*c = -26*c - 6308, 3*l - 4753 = -4*c. Let h = l - 7891/5. Factor 8/5*s - 4/5*s**2 - h.
-4*(s - 1)**2/5
Let -831*d**3 - 830*d**3 - 843*d**3 + 280 + 61*d**2 + 34*d**2 + 2509*d**3 + 370*d = 0. Calculate d.
-14, -4, -1
Let a(l) be the second derivative of -1/5*l**5 - 18*l - 8*l**2 - 1 - 16/3*l**3 - 5/3*l**4. Determine v so that a(v) = 0.
-2, -1
Let m(q) be the first derivative of 84 - 3*q**4 - 1/3*q**6 - 8/3*q**3 - q**2 + 0*q - 8/5*q**5. Find b, given that m(b) = 0.
-1, 0
Let p(n) be the third derivative of -n**10/52920 - n**9/52920 + n**8/23520 + 41*n**4/24 - 35*n**2. Let s(g) be the second derivative of p(g). Factor s(w).
-2*w**3*(w + 1)*(2*w - 1)/7
Let r(l) = 349*l - 75031. Let t be r(215). Solve -8/5*w - 8/5 + 6/5*w**2 + 8/5*w**3 + 2/5*w**t = 0.
-2, -1, 1
Find p, given that 0 + 1/3*p**2 + 293*p = 0.
-879, 0
Suppose -717 = -3*i - 591. Suppose 0 = -2*w - 34 + i. Factor -2/9*s**5 - 20/9*s**3 + 20/9*s**2 - 10/9*s + 10/9*s**w + 2/9.
-2*(s - 1)**5/9
Let p(l) be the second derivative of -l**4/42 + 1342*l**3/21 - 450241*l**2/7 + 2244*l. Solve p(a) = 0 for a.
671
Suppose 9*j - u - 4 = 6*j, 5 = 5*j - 2*u. Determine b so that 0*b**3 - 30*b - 3*b**2 - 9*b**j + b**3 - 24 + 11*b**3 = 0.
-2, -1, 4
Let v(s) = s**3 - s**2 + 1. Let h(d) = 20*d**3 - 2*d**2 + 40*d + 50. Let m(a) = h(a) - 18*v(a). Factor m(p).
2*(p + 2)**2*(p + 4)
Let 101/2*d**2 + 22*d**3 + 1/4*d**5 + 4*d**4 + 35/2 + 199/4*d = 0. Calculate d.
-7, -5, -2, -1
Let f be 27*2 - (-951027)/(-17721). Factor -47/3*s + 575/3*s**2 + f - 529/3*s**3.
-(s - 1)*(23*s - 1)**2/3
Factor 0 - 2*t**3 + 2/5*t**5 + 0*t**2 + 8/5*t**4 + 0*t.
2*t**3*(t - 1)*(t + 5)/5
Let x(u) = -u**3 + 3*u**2 + 3*u - 29. Let h be x(-5). Factor 17 - 147*j**2 - j**5 - 5*j**4 - 1 + 319*j**2 + 32*j - h*j**2 - 4*j**3.
-(j - 2)*(j + 1)*(j + 2)**3
Factor 13684*a**3 + 180*a**2 - 13696 - 13689*a**3 - 660*a - 5664.
-5*(a - 22)**2*(a + 8)
Suppose 3*o = 9, 0 = 5*v - 0*o + 2*o - 126. Let a be (-9 - -1)*v/(-360). Factor a - 2/5*c - 2/15*c**2.
-2*(c - 1)*(c + 4)/15
Let r(m) be the second derivative of -89*m**5/4 - 595*m**4/4 - 10*m**3/3 - 5505*m. Factor r(s).
-5*s*(s + 4)*(89*s + 1)
Factor 245/6*g**3 + 9205/3*g**2 + 2960/3 + 10400/3*g.
5*(g + 74)*(7*g + 4)**2/6
Factor -2180*j**2 + 182729*j + 118019*j + 4*j**3 - 4816*j + 298116.
4*(j - 273)**2*(j + 1)
Suppose -w = -2 - 0. Suppose 4*a - 24 = 0, -169*a - 24 = -2*i - 172*a. Let 11*b**i - 6*b**4 - 45/8*b**5 - w*b + 0*b**2 + 0 = 0. What is b?
-2, -2/5, 0, 2/3
Factor 56/5*d**2 - 343/5 - 294/5*d - 1/5*d**4 + 6/5*d**3.
-(d - 7)**2*(d + 1)*(d + 7)/5
Let s(c) be the third derivative of c**7/525 + 49*c**6/150 + 659*c**5/50 - 5194*c**4/15 + 44944*c**3/15 + 1394*c**2 - 2*c. Find x, given that s(x) = 0.
-53, 4
Factor -486/5 - 18/5*r**4 - 432/5*r**2 - 126/5*r**3 - 1/5*r**5 - 729/5*r.
-(r + 3)**4*(r + 6)/5
Let u(x) = x**3 + 8*x**2 + x - 14. Suppose 390*s = 401*s + 11. Let t(l) = l**2 + l + 1. Let i(m) = s*u(m) + 4*t(m). Factor i(p).
-(p - 2)*(p + 3)**2
Let m(t) be the first derivative of -t**5/15 - t**4/6 + t**3/3 + 99. Factor m(g).
-g**2*(g - 1)*(g + 3)/3
Let g = 436 + -433. Suppose g*r + r = 5*r. Factor -152/3*y**4 - 176/3*y**3 + 0 - 12*y**5 - 32/3*y**2 + r*y.
-4*y**2*(y + 2)**2*(9*y + 2)/3
Suppose -41 = -3*r + 2*p - 23, 0 = 4*r - 2*p - 22. Let f(h) be the third derivative of -1/300*h**5 + 7*h**2 + 0*h + 0 - 1/60*h**r - 1/30*h**3. Factor f(a).
-(a + 1)**2/5
Let p(i) be the second derivative of -i**5/4 - 115*i**4/12 - 340*i**3/3 - 600*i**2 - 1816*i. Factor p(x).
-5*(x + 4)**2*(x + 15)
Let p be (130/(-18) - -7) + 38/9. Find t, given that -p*t**4 - 1573*t**3 + 3*t + 44*t**2 + 1561*t**3 - 8*t**4 + 4*t**5 - 23*t - 4*t = 0.
-2, 0, 1, 3
Factor 531/8*p - 537/4 + 3/8*p**2.
3*(p - 2)*(p + 179)/8
Factor -1/2*b**3 - 51/2*b + 8*b**2 + 18.
-(b - 12)*(b - 3)*(b - 1)/2
Factor 200/9*c - 22/9*c**3 + 0 - 4/3*c**4 + 2/9*c**5 + 40/3*c**2.
2*c*(c - 5)**2*(c + 2)**2/9
Let z(u) be the third derivative of -392/3*u**3 + 0*u + 0 - 14/3*u**4 - 1/15*u**5 + 54*u**2. Factor z(o).
-4*(o + 14)**2
Suppose -4*r - 3 - 9 = -2*x, r + 27 = 2*x. Let s = x - -16. Factor 20*l**2 - 4*l**3 + 21 - s*l - 23 + 18.
-4*(l - 2)**2*(l - 1)
Find t, given that -128/3 - 8*t**2 - 320/9*t - 4/9*t**3 = 0.
-12, -4, -2
Let l(b) be the third derivative of b**7/560 - 13*b**6/320 - b**5/10 + 7*b**4/16 + b**2 + 845. Factor l(v).
3*v*(v - 14)*(v - 1)*(v + 2)/8
Let t = -5 - -3. Let o be (-2)/(t + -2)*0. Determine j so that 8*j**3 - 4 + 2*j + o*j + 12*j**2 - 2*j = 0.
-1, 1/2
Suppose -3*n = 3*x + 3, -8*x - 4 = -5*n - 10*x. Factor -14*f**2 - 9*f**n - 12*f - 3*f**3 + 11*f**2.
-3*f*(f + 2)**2
Solve 22140*z - 37*z**3 + z**4 - 22038*z + 25*z**3 - 91*z**2 = 0 for z.
-6, 0, 1, 17
Let -2/5*w**3 - 406*w + 134/5*w**2 - 1470 = 0. What is w?
-3, 35
Let p(k) = -4*k**2 + 252*k + 2. Let s be p(63). Let q(z) be the second derivative of 1/6*z**3 + s*z + 1/72*z**4 + 5/12*z**2 + 0. Solve q(o) = 0.
-5, -1
Let m be 24/14*(17 + 378/(-28)). Let p(u) be the first derivative of 18 + 4*u**3 - 4*u**2 + 0*u + u**4 - 12/5*u**5 + 2/3*u**m. Factor p(w).
4*w*(w - 2)*(w - 1)**2*(w + 1)
Determine w, given that -184/3*w**2 + 0 - 2/3*w**5 - 112/3*w**3 - 26/3*w**4 - 32*w = 0.
-6, -4, -2, -1, 0
Let l be 564/1034 - (-1222)/(-264). Let s = l + 19/4. Let s*h - 1/3*h**2 - 1/3 = 0. What is h?
1
Let j(y) = -16*y**3 - 1900*y**2 - 10*y. Let d(t) = 76*t**3 + 9504*t**2 + 48*t. Let k(o) = -5*d(o) - 24*j(o). Let k(s) = 0. Calculate s.
0, 480
Let m(y) = y**2 + 18*y + 6. Let l be m(-9). Let f = -59 - l. Factor -3*q**3 + 16*q - f*q**4 - 32 + 0*q**4 - 4*q**5 - q**3 + 40*q**2.
-4*(q - 1)**2*(q + 2)**3
Factor 109212 + 14093*o + 82988 + 18947*o**2 - 112673*o - 4*o**3 - 17699*o**2 + 0*o**3.
-4*(o - 155)**2*(o - 2)
Factor -90*h + 5376 + 113*h**2 + 1690*h + 35*h**2 - h**3 + 5*h**3.
4*(h + 8)**2*(h + 21)
Let w be -6*(2 - 3)*(-3)/(-4). Determine h so that -w*h - 1/2*h**2 - 9 = 0.
-6, -3
Let q(y) = 70*y**2 + 575*y + 670. Let c(l) be the first derivative of 5*l**3/3 + 41*l**2/2 + 48*l + 83. Let t(d) = -85*c(d) + 6*q(d). Factor t(f).
-5*(f + 3)*(f + 4)
Let w(g) = 112*g**3 - 79*g**2 + 10*g + 6. Let r(h) = -339*h**3 + 238*h**2 - 30*h - 17. Let s(i) = -6*r(i) - 17*w(i). Suppose s(m) = 0. Calculate m.
0, 2/13, 1/2
Let u = -170/233 + 3016/3495. Let m(z) be the second derivative of 29*z - 8/3*z**3 + 0 - 2*z**4 - u*z**6 - 4/5*z**5 - 2*z**2. Solve m(d) = 0 for d.
-1
Let v = 154 - 142. Factor -22*y**4 - 12*y**2 - 15*y**3 + 25*y**4 + v*y**2.
3*y**3*(y - 5)
Let b = -325/459 - -937/459. Determine l, given that -1/6*l**4 - b - 3*l**2 - 7/6*l**3 - 10/3*l = 0.
-2, -1
Let x be 13138/39414 + (-2 - -2 - (-8)/30). Find o, given that x*o**3 - 6/5*o**2 + 3/5*o + 0 = 0.
0, 1
Let a be 24/132 + 126/33. Suppose 