9*s**4/7 + 2111*s**2. Suppose m(g) = 0. Calculate g.
-1, 0, 2, 6, 9
Let h(v) = v**3 - 5*v**2 + 6. Let o be h(0). Solve 6 + 22*n**5 - o + 20*n**4 + 23*n**5 = 0.
-4/9, 0
Let s(n) be the second derivative of 0 + 9/2*n**3 - 51/4*n**2 - 105*n - 1/8*n**4. Suppose s(r) = 0. What is r?
1, 17
Let s(l) be the third derivative of l**5/120 - l**4 + 23*l**3/3 - 5246*l**2. Solve s(h) = 0.
2, 46
Let m(z) = -21*z**2 + 453*z + 18. Let c(v) = 2*v**2 + v - 2. Let w(s) = -9*c(s) - m(s). Determine j, given that w(j) = 0.
0, 154
Suppose -3*r = -3*g + 12, 4 = -78*r + 83*r - g. Factor 2/13*p**3 + 0 - 2/13*p**r + 0*p.
2*p**2*(p - 1)/13
Let m(g) = g**3 - 8*g**2 + 16*g. Let q be m(2). Suppose q = 1219*r - 1215*r. Factor 1/6*c**3 + 2/3*c + 0 + 2/3*c**r.
c*(c + 2)**2/6
Let u(k) be the first derivative of 61 + 1/22*k**4 - 40/33*k**3 + 100/11*k**2 + 0*k. Factor u(j).
2*j*(j - 10)**2/11
Let y(a) be the first derivative of 224 + 1/2*a**2 - 1/18*a**3 + 1/36*a**6 - 7/24*a**4 + 0*a + 1/30*a**5. Solve y(u) = 0 for u.
-3, -1, 0, 1, 2
Factor 3/7*f**2 - 543/7 + 540/7*f.
3*(f - 1)*(f + 181)/7
Suppose -25*j - 242 + 942 = 0. Let p = -26 + j. Factor 0 + 8/3*d + 2/3*d**3 + 8/3*d**p.
2*d*(d + 2)**2/3
Let f(i) = -5*i**4 + 7*i**3 + 23*i**2 - 265*i + 2. Let x(k) = 22*k**4 - 26*k**3 - 91*k**2 + 1055*k - 9. Let g(v) = -18*f(v) - 4*x(v). Factor g(n).
2*n*(n - 11)*(n - 5)*(n + 5)
Let z = 47 - 45. Suppose -21 = 4*d - 7*d + l, z*d - 2*l = 14. Factor -166*i**5 + d*i**4 + 0*i**3 - 2*i**3 + 170*i**5.
i**3*(i + 2)*(4*i - 1)
Suppose -1/4*x**5 + 969/4*x**3 - 485/4*x**2 - 483/4*x**4 + 0*x + 0 = 0. What is x?
-485, 0, 1
Let n(t) = t**2 - 1100*t + 309136. Let k(q) = -q**2 + 1098*q - 309136. Let u(z) = 6*k(z) + 7*n(z). Suppose u(m) = 0. Calculate m.
556
Let n(p) = p**3 + 14*p**2 + 49*p + 4. Suppose 80 - 100 = -5*y. Let s(w) = -w**3 - 2*w**2 - w - 1. Let z(j) = y*s(j) + n(j). Factor z(k).
-3*k*(k - 5)*(k + 3)
Let h(m) be the second derivative of -3*m**5 + 46*m**4/3 + 38*m**3 - 8*m**2 + 1478*m. Solve h(c) = 0 for c.
-1, 1/15, 4
Factor 1/5*p**3 - 77/5*p - p**2 + 441/5.
(p - 7)**2*(p + 9)/5
Let b = -210283/3 - -70099. Solve -1/3*h**2 - 13/3 + b*h = 0 for h.
1, 13
Let w(x) be the third derivative of 241*x**5/12 + 5*x**4/6 + 1759*x**2. Solve w(u) = 0.
-4/241, 0
Let j(b) be the first derivative of b**5/30 + b**4/6 - 2*b**3/3 - 8*b**2/3 - 112*b - 214. Let a(f) be the first derivative of j(f). What is r in a(r) = 0?
-4, -1, 2
Factor -2/15 - 152/15*s - 10*s**2.
-2*(s + 1)*(75*s + 1)/15
Suppose -112 = -5*w - 1280*a + 1281*a, 0 = 2*a - 6. Let q(l) be the first derivative of -1/9*l**3 - 1/6*l**2 + 2/3*l + w. Factor q(o).
-(o - 1)*(o + 2)/3
Let w(h) be the second derivative of h**6/120 + h**5/30 - 7*h**4/8 + 3*h**3 + 211*h**2/2 + 157*h. Let j(b) be the first derivative of w(b). Factor j(q).
(q - 3)*(q - 1)*(q + 6)
Let g = -13818 - -13821. Let u(t) be the first derivative of 2/3*t**2 + 3/2*t + 17 - 1/18*t**g. Let u(f) = 0. Calculate f.
-1, 9
Let m be (6 - 7) + (3 + 0 - -2). Factor -15*s**2 + 3*s**3 + 10*s**2 + 2*s**3 - 2*s**3 - s**5 + 4*s**3 - 6*s + 5*s**m.
-s*(s - 6)*(s - 1)*(s + 1)**2
Let n(h) be the third derivative of -7/4*h**5 + 8/5*h**6 + 0*h + 139*h**2 + 1/4*h**4 - 31/70*h**7 + 0 + 0*h**3. Solve n(l) = 0 for l.
0, 2/31, 1
Let c(y) be the first derivative of -10*y**2 - 12*y + y**4 - 4/3*y**3 - 97. Find g, given that c(g) = 0.
-1, 3
Let y be 1/(-3)*-4*12/8. Suppose y*z - 7*z = -60. Solve 7*s + 6*s + 3*s**2 + 6*s - 7*s + z = 0 for s.
-2
Factor -18*c - 3/4*c**2 + 75/4.
-3*(c - 1)*(c + 25)/4
Let g be 36/24*(-1 + -1) - (-6 - -3). Let j(o) be the third derivative of -1/150*o**5 - 1/60*o**4 + 2/15*o**3 + g*o + 10*o**2 + 0. Factor j(q).
-2*(q - 1)*(q + 2)/5
Let w be ((-14)/3)/((-14)/42 + 3/(-9)). Let x(f) be the first derivative of -45*f - 15*f**2 - w - 5/3*f**3. What is g in x(g) = 0?
-3
Determine b, given that 0*b + 2/11*b**4 + 0 + 112/11*b**2 - 60/11*b**3 = 0.
0, 2, 28
Let u = 511 - 277. Find j such that -6*j**4 - 234 + u - 9*j - 27*j**3 - 30*j**2 = 0.
-3, -1, -1/2, 0
Let c be 4/10 - (-1496)/(-40). Let d = c + 47. Factor -5*y - d*y**3 - 12*y**3 - 15*y**2 + 7*y**3 - 5*y**4.
-5*y*(y + 1)**3
Let p = 54/41 + -1039/820. Let w(o) be the second derivative of 0*o**6 - 1/420*o**7 - p*o**3 - 8*o + 1/50*o**5 + 0 + 1/60*o**4 - 1/10*o**2. Factor w(k).
-(k - 2)*(k - 1)*(k + 1)**3/10
Factor 5/4*k**2 + 1468820 - 2710*k.
5*(k - 1084)**2/4
Factor -29232 + 18*k**3 + 324*k**3 - 3*k**4 + 29232 + 345*k**2.
-3*k**2*(k - 115)*(k + 1)
Suppose -3/7*x**3 + 528/7*x - 540/7 - 123/7*x**2 = 0. What is x?
-45, 2
Let i(h) be the first derivative of h**6/72 - h**5/6 - 11*h**3 + 46. Let r(l) be the third derivative of i(l). Determine n so that r(n) = 0.
0, 4
Let t(u) be the third derivative of 2*u**7/105 + 13*u**6/15 + 28*u**5/3 - 196*u**4/3 + 476*u**2. Suppose t(f) = 0. Calculate f.
-14, 0, 2
Let b be ((0/(-299))/(1*(-1)/1))/2. What is g in b + 6/7*g**2 + 0*g - 2/7*g**3 = 0?
0, 3
Let u be (-1)/2 - (-1863)/(-46). Let s = 44 + u. Suppose 6*a**2 - 2*a**2 - 2*a**5 + 3*a**5 + 12*a**s + 5*a**4 - 4*a**3 = 0. Calculate a.
-2, -1, 0
Let k(j) be the third derivative of -2*j**6/105 - 202*j**5/105 + 59*j**4/8 - 78*j**3/7 - 1077*j**2 - 5*j. Solve k(z) = 0 for z.
-52, 3/4
Solve 136/3*p**4 - 1112/3*p - 404/3*p**2 - 560/3 - 2/3*p**5 + 286/3*p**3 = 0.
-2, -1, 2, 70
Let b be 336/(-84) + 50/12. Let q(p) be the first derivative of -3/4*p**2 + b*p**3 - 14 + 0*p. Let q(t) = 0. Calculate t.
0, 3
Let m(a) be the third derivative of -1/2688*a**8 + 1/960*a**6 + 1/420*a**7 - 48*a**2 + 0*a**3 + 0*a + 0 + 0*a**4 - 1/120*a**5. Determine c, given that m(c) = 0.
-1, 0, 1, 4
Let r(s) be the first derivative of -s**5/5 + 579*s**4/4 + 387*s**3 + 581*s**2/2 - 1175. Suppose r(j) = 0. What is j?
-1, 0, 581
Let k(s) be the first derivative of -s**5/20 - 3*s**4/8 - 13*s**3/12 - 3*s**2/2 - s - 946. Factor k(u).
-(u + 1)**2*(u + 2)**2/4
Let p(m) = -22*m + 8. Let x be p(-1). Solve -x*g**2 - 7 - 126*g**2 + 148*g + 9 + 6 = 0 for g.
-2/39, 1
Let l be 20*21/6510 - (-364)/124. Determine n so that 0*n + 0 - 1/6*n**5 + 1/6*n**l + 2*n**2 - 2*n**4 = 0.
-12, -1, 0, 1
Let s = 14 - 10. Let d(b) = b**2 - 11*b - 10. Let m be d(12). Factor -3*c**2 + 7 + 2 - m*c - s*c.
-3*(c - 1)*(c + 3)
Let a(u) be the first derivative of -15 + 4/27*u**3 - 1/54*u**4 + 11*u - 1/3*u**2. Let q(l) be the first derivative of a(l). Suppose q(r) = 0. Calculate r.
1, 3
Suppose -5*b = 4*g + 26, -78*g + 21 = -3*b - 81*g. Factor 22/9 + 2/9*t**b - 8/3*t.
2*(t - 11)*(t - 1)/9
Let v = -3487 + 3507. Let c(n) be the first derivative of -10*n + 5/3*n**3 + v - 5/2*n**2. Find t such that c(t) = 0.
-1, 2
Let u(i) be the first derivative of 3*i**4/16 - 2*i**3 + 45*i**2/8 + 1857. Suppose u(m) = 0. Calculate m.
0, 3, 5
Let y(r) be the first derivative of -5/2*r**2 - 5*r + 5/4*r**3 - 1/4*r**5 + 5/8*r**4 - 102. What is f in y(f) = 0?
-1, 2
Let z = -3314 + 3319. Let v(p) be the first derivative of 29 + 0*p + 1/4*p**2 + 1/4*p**4 + 1/20*p**z + 5/12*p**3. Suppose v(c) = 0. What is c?
-2, -1, 0
Let u(z) be the third derivative of -z**6/60 - z**5/15 + 31*z**4/12 - 28*z**3/3 + 1370*z**2. Factor u(w).
-2*(w - 4)*(w - 1)*(w + 7)
Let n(f) be the first derivative of -f**6/180 - f**5/3 + 7*f**4/4 - 58*f**3 + 150. Let d(i) be the third derivative of n(i). Factor d(c).
-2*(c - 1)*(c + 21)
Let p(d) = -2*d**2 + 48*d - 157. Let b(g) = -g**2 + 36*g - 158. Let u(j) = 6*b(j) - 4*p(j). Find y such that u(y) = 0.
-20, 8
Let q(o) be the third derivative of 0*o - 2*o**2 - 10 - 7/60*o**5 + 3/8*o**4 - 1/3*o**3. Factor q(a).
-(a - 1)*(7*a - 2)
Solve 3/4*y**3 - 489/4*y**2 + 20169/4*y - 19683/4 = 0 for y.
1, 81
Factor -5*b - b**2 + 12 + 1/4*b**3.
(b - 6)*(b - 2)*(b + 4)/4
Let p = 13230101/45 - 1469999/5. Determine x, given that -2/9*x**2 - 4 + p*x = 0.
2, 9
Let d(a) be the first derivative of 5*a**6/27 + 8*a**5/5 - 16*a**4/3 - 236*a**3/27 + 19*a**2 + 36*a + 2945. Find r, given that d(r) = 0.
-9, -1, 9/5, 2
Let g(p) = -4*p**2 + 17*p + 12. Let f(l) be the third derivative of 3*l**5/20 - 3*l**4/2 - 4*l**3 + 128*l**2. Let c(y) = -6*f(y) - 14*g(y). Factor c(h).
2*(h - 12)*(h + 1)
Factor k**3 - 283*k - 2*k**2 + 40 + 127*k - 5*k**2 - 616 + 3*k**2.
(k - 16)*(k + 6)**2
Factor 20*s**2 + 82 - 14*s**2 + 3*s**3 + 3*s**2 - 165 + 71.
3*(s - 1)*(s + 2)**2
Factor 812/5*h**3 + 51972/5*h**2 + 4