se u(x) = 0. What is x?
1, 2
Let 47/3*d**2 - 1/3*d**5 + 52/3 - 5*d**4 + 36*d - 23/3*d**3 = 0. Calculate d.
-13, -2, -1, 2
Let r(g) be the third derivative of g**6/960 + 53*g**5/240 - 325*g**4/192 + 109*g**3/24 + 9704*g**2. Suppose r(s) = 0. Calculate s.
-109, 1, 2
Factor 58/13*m**2 + 20/13*m + 0 - 6/13*m**3.
-2*m*(m - 10)*(3*m + 1)/13
Let l be 232*(-1*1 + 11/(-22)). Let b = l - -1744/5. Determine v so that 128/5*v + b*v**2 + 1024/5 = 0.
-16
Let y(k) = k**3 + 24*k**2 - 61*k - 58. Let c be y(3). Solve 0 + 2/3*a**c + 2/3*a = 0 for a.
-1, 0
Let g(y) be the first derivative of y**4/10 - 4*y**3 - 67*y**2/5 + 192*y/5 + 551. Factor g(h).
2*(h - 32)*(h - 1)*(h + 3)/5
Let r be (-44)/24*630/(-3960). Let d(v) be the second derivative of 0 + 20*v - 3/4*v**2 - r*v**3 - 1/48*v**4. Factor d(n).
-(n + 1)*(n + 6)/4
Determine j so that -60*j**2 + 243 - j**3 - 344 + 145 - 78*j + 116 - 21*j**2 = 0.
-80, -2, 1
Let s(q) be the first derivative of -q**4/3 + 48*q**3 - 2592*q**2 + 132*q + 43. Let a(d) be the first derivative of s(d). Factor a(f).
-4*(f - 36)**2
Let u(h) be the second derivative of 0*h**2 - 5*h - 25/6*h**3 + 5/2*h**4 - h**6 + h**5 + 5/42*h**7 - 2. Factor u(p).
5*p*(p - 5)*(p - 1)**2*(p + 1)
Factor 0 - 1/9*p**3 + 0*p + 2/9*p**4 + 0*p**2 + 1/3*p**5.
p**3*(p + 1)*(3*p - 1)/9
Let w(z) be the first derivative of -z**7/210 - 3*z**6/40 + z**5/60 + 3*z**4/8 - 44*z**2 - 16. Let y(v) be the second derivative of w(v). What is j in y(j) = 0?
-9, -1, 0, 1
Let q(x) be the second derivative of -x**8/1344 + x**7/252 + 161*x**4/12 + 13*x. Let p(v) be the third derivative of q(v). Factor p(s).
-5*s**2*(s - 2)
Let s be (40/(-27))/((-8)/16*-4)*-6. Suppose 2/3*w**3 + 8/3*w + 0 + s*w**2 = 0. Calculate w.
-6, -2/3, 0
Determine c so that 9*c**2 + 67/2*c**4 - 45/4*c**5 - 65/2*c**3 + 7/4*c - 1/2 = 0.
-2/9, 1/5, 1
Factor -2/7*x**2 - 78/7*x + 164/7.
-2*(x - 2)*(x + 41)/7
Let p(r) = -3*r**3 + 60*r**2 - 71*r + 39. Let a(b) = 2*b**3 - 32*b**2 + 34*b - 19. Let f(v) = 5*a(v) + 3*p(v). Factor f(z).
(z - 1)**2*(z + 22)
Let k = 169791/8 - 169787/8. Let w be (-3)/(-2)*4/12. Determine t, given that 1/2 - t**2 + 1/4*t - w*t**3 + k*t**4 + 1/4*t**5 = 0.
-2, -1, 1
Let j(w) be the first derivative of -w**4 + 88*w**3/3 - 38*w**2 - 168*w - 7086. Factor j(c).
-4*(c - 21)*(c - 2)*(c + 1)
Suppose 0 = -38*c + 31*c + 147. Let b(g) be the second derivative of -2/27*g**4 + 0 - 1/180*g**5 - c*g - g**2 - 7/18*g**3. Determine o so that b(o) = 0.
-3, -2
Suppose 2*u - 4*u = -2*q - 4, q - 14 = -3*u. Determine i, given that 22*i**5 - 23*i**5 - 4*i**4 + 10*i**4 - 3*i**3 - 2*i**u = 0.
0, 1, 3
Let f be ((-20)/16)/((-40)/64). Solve -f*s - s**3 + 24*s**2 - 2*s**3 + 5*s - 24 + 0 = 0.
-1, 1, 8
Let u(v) be the first derivative of -10/3*v**3 + 72 - 5/4*v**4 + 0*v**2 + 5/6*v**6 + 0*v + 2*v**5. Suppose u(c) = 0. Calculate c.
-2, -1, 0, 1
Let v be 0/((-3)/(-9)*6). Suppose v = -5*u - 0 + 50. Factor -19*w**2 + u*w**2 + 4*w**2.
-5*w**2
Solve -698 + 2654 - 2999*z**2 + 2968*z + 2997*z**2 - 87 + 1101 = 0.
-1, 1485
Let j = -38765 - -38768. Factor -8/5*u + 1/5*u**2 + j.
(u - 5)*(u - 3)/5
Let m(c) be the first derivative of -4*c**5/5 - 19*c**4 + 452*c**3/3 - 330*c**2 + 288*c - 857. Find o, given that m(o) = 0.
-24, 1, 3
Let c = 3714 - 3714. Let y(i) be the first derivative of 4/5*i**2 + c*i**5 + 0*i**3 - 1/2*i**4 + 1/15*i**6 - 14 + 0*i. Solve y(o) = 0.
-2, -1, 0, 1, 2
Let j(p) be the third derivative of -p**8/1344 - p**7/840 + p**6/240 + p**2 - 21. Factor j(c).
-c**3*(c - 1)*(c + 2)/4
Determine y so that 137/7*y - 2/7*y**2 + 657/7 = 0.
-9/2, 73
Suppose r + 3*i = 258, 0 = -r - 5*i + 3*i + 259. Let -50*h + 5*h**3 + 134*h**2 - r*h**2 + 142*h**2 = 0. Calculate h.
-5, 0, 2
Let j = -485 + 541. Find y such that -52*y**3 + 8*y**2 - 4*y**4 - j*y**3 + 2*y**5 + 102*y**3 + 0*y + 8*y = 0.
-1, 0, 2
Let w(r) be the third derivative of -1/8*r**4 + 1/40*r**6 + 1/60*r**5 - 12*r + 0 - r**2 - 1/210*r**7 + 0*r**3. Factor w(l).
-l*(l - 3)*(l - 1)*(l + 1)
Suppose -22 = -8*d - 6. Factor 458*t - 236*t + 32*t**d + 37*t**2 - 231*t.
3*t*(23*t - 3)
Let a(n) be the third derivative of -n**8/1848 + 2*n**7/385 + n**6/11 + 68*n**5/165 + 8*n**4/11 + 12*n**2 - 6*n. Let a(h) = 0. Calculate h.
-2, 0, 12
Suppose 2*m + 15 = 2*k - 3*m, 0 = 3*k + 3*m - 12. Factor 2 - 17*s**3 - 11*s**4 + 8*s**k - 2*s**5 - 17*s + 4*s**4 + 33*s**2 + 0*s**4.
(s - 1)**3*(s + 2)*(6*s - 1)
Let r(p) = 2*p**3 + 6*p**2 - 10*p - 6. Let k be r(-3). Factor -4*v**3 + 2*v**2 - 37*v + 13*v - k + v**3 - 23*v**2 - 18*v.
-3*(v + 1)*(v + 2)*(v + 4)
Let v(o) be the third derivative of o**6/24 + 16*o**5/3 - 515*o**4/6 + 1400*o**3/3 - 2*o**2 - 2647*o. Let v(b) = 0. What is b?
-70, 2, 4
Let v(a) be the second derivative of -a**5/210 - 26*a**4/63 - 281*a**3/63 - 230*a**2/21 - 4594*a. Find w, given that v(w) = 0.
-46, -5, -1
Let w(x) be the second derivative of -1/15*x**5 + 0*x**2 - 1/30*x**6 + 2*x + 0*x**4 + 0*x**3 + 1/126*x**7 + 28. Factor w(i).
i**3*(i - 4)*(i + 1)/3
Find j, given that 123 + 618/5*j + 3/5*j**2 = 0.
-205, -1
Let d(b) be the second derivative of 0*b**2 - b - 32 + 7/220*b**5 - 1/330*b**6 - 4/33*b**4 + 2/11*b**3. Find m such that d(m) = 0.
0, 2, 3
Solve 198/5*l - 39/10*l**2 - 322/5 + 1/10*l**3 = 0.
2, 14, 23
Let i = -9082 - -9086. Let d(f) be the first derivative of 24/7*f**2 + 8/7*f + 25/14*f**i + 12 + 30/7*f**3. Factor d(a).
2*(a + 1)*(5*a + 2)**2/7
Solve 22/5*l**4 - 1604/5*l**2 + 13/5*l**3 - 3164/5*l + 1/5*l**5 - 1568/5 = 0 for l.
-14, -1, 8
Factor -2*k**2 - 1960 - 475*k + 1029*k - 273*k - 3*k**2 - 491*k.
-5*(k + 14)*(k + 28)
Let x = -29087/300 - -2426/25. Let l(y) be the second derivative of 5/24*y**4 + x*y**3 + 35*y + 0*y**2 + 0. Factor l(f).
f*(5*f + 1)/2
Suppose -r = -2*i + 1, -5*i + 82*r = 83*r - 20. Factor 8/5*j**2 - 2/5*j**4 - 2/5*j**i + 8/5*j + 0.
-2*j*(j - 2)*(j + 1)*(j + 2)/5
Let k(b) be the third derivative of 0*b + 1/2*b**5 + 53*b**2 + 0 - 23/60*b**4 + 2/15*b**3 - 9/50*b**6. Find c such that k(c) = 0.
1/6, 2/9, 1
Let k(j) be the second derivative of 14*j**6/165 - 1369*j**5/110 - 841*j**4/33 - 101*j**3/33 + 18*j**2 - 4001*j. Find y such that k(y) = 0.
-1, -1/2, 2/7, 99
Let h(n) = 1 - n - 2640*n**2 + 2640*n**2 + n**3. Let o(s) be the first derivative of -2*s**3/3 + 4*s - 1. Let a(b) = -2*h(b) + o(b). Factor a(z).
-2*(z - 1)*(z + 1)**2
Suppose -643272*o = -643203*o - 207. Solve -4/5*q**2 + 0 - 4/5*q**5 + 4/5*q**o + 4/5*q**4 + 0*q = 0 for q.
-1, 0, 1
Determine t so that 102*t - 5*t**3 - 6*t**4 + 360 + 58*t**2 - 11*t**3 - 41*t**3 - 187*t**2 = 0.
-5, -4, -2, 3/2
Let l(o) = -o**2 - o - 1. Suppose -15*y + 21*y = 6. Let s(r) = -7*r**2 + 101*r + 105. Let u(k) = y*s(k) - 3*l(k). Factor u(g).
-4*(g - 27)*(g + 1)
Let d(s) be the third derivative of s**7/5040 + s**6/2160 - s**5/360 - 9*s**3 - s**2 + 1. Let z(x) be the first derivative of d(x). Find p, given that z(p) = 0.
-2, 0, 1
Let z be (1 + -2 + 46/50)*(-1632 + 1622). What is a in 144/5 - 48/5*a + z*a**2 = 0?
6
Suppose 4*u - 11 = 5*y - 1, 17 = 5*u - 4*y. Let w(z) = 8*z**2 + 64*z + 2. Let c be w(-8). Solve u - 5 - 3*s**2 - c*s - s = 0 for s.
-1, 0
Suppose 6*a + 564 - 594 = 0. Factor 36*t - 35*t - 26*t - 10*t**2 - a*t**3 - 55*t + 60 + 45*t**2.
-5*(t - 3)*(t - 2)**2
Let h(x) = -2*x**3 - 6*x**2 - 3*x - 9. Let n be h(-3). Suppose 8*q - 76 + 36 = n. Factor -3/4*d**4 - 1/4*d**q + 0*d**2 - 1/2*d**3 + 0*d + 0.
-d**3*(d + 1)*(d + 2)/4
Let z(u) be the third derivative of -40*u**2 + 0*u + 0 - 11/60*u**4 + 1/300*u**5 + 121/30*u**3. Factor z(l).
(l - 11)**2/5
Let m be ((-935)/(-20) - 46)*(3 + -2 + 0). Determine b, given that -3/4*b**4 + 0*b**3 + 0 + m*b**2 + 0*b = 0.
-1, 0, 1
Let n(h) = -2*h**2 + 38*h - 22. Let i(z) = -22*z**2 + 389*z - 220. Let w(t) = 2*i(t) - 21*n(t). Factor w(k).
-2*(k - 1)*(k + 11)
Let b(s) be the first derivative of -s**4/2 + 14*s**3 + 256*s**2 + 840*s + 6319. Solve b(h) = 0 for h.
-7, -2, 30
Let u(g) be the second derivative of 0*g**2 + 1/36*g**4 - 2*g + 1 - 1/18*g**6 - 1/60*g**5 - 1/42*g**7 + 0*g**3. Factor u(i).
-i**2*(i + 1)**2*(3*i - 1)/3
Let p(m) be the first derivative of 2*m**5/35 - 29*m**4/14 + 536*m**3/21 - 816*m**2/7 + 1152*m/7 - 1462. Solve p(l) = 0.
1, 4, 12
Let l(v) = 11*v - 281. Let i be l(26). Let c be -1 + (1 - 1 - -8). Determine u, given that -c*u**2 - 33*u**3 + 22*u**2 + 23*u**3 - i*u**4 = 0.
-3, 0, 1
Let u(i) b