 56*y**3/39 - 2*y**2 + 195*y. Find c such that o(c) = 0.
-56, -1, 1
Let c be 6*(1 - 14/(-4)). Suppose 0 = -28*q + c*q + 3. Factor 8*r**q - 4*r**5 - 4*r**4 + 1571 - 1571.
-4*r**3*(r - 1)*(r + 2)
Factor -13972644/5 + 14952/5*u - 4/5*u**2.
-4*(u - 1869)**2/5
Let q(c) be the third derivative of c**5/300 + 19*c**4/60 + 23*c**3/2 + 3629*c**2. Let q(t) = 0. What is t?
-23, -15
Let u(q) be the first derivative of -2/13*q**5 + 0*q + 27 + 4/39*q**3 + 0*q**2 + 3/26*q**4. Factor u(o).
-2*o**2*(o - 1)*(5*o + 2)/13
Let k(y) be the third derivative of 2*y**7/175 + 484*y**6/75 + 78406*y**5/75 + 5152*y**4/3 - 51842*y**3/15 - 107*y**2 - 2*y. Find d, given that k(d) = 0.
-161, -1, 1/3
Let -69/2*j**2 - 3/4*j**3 + 9450 - 45*j = 0. What is j?
-30, 14
Let a be (-2161 + 2164)*(-13)/(-15). Solve 4/5*h + 0 - a*h**2 - 1/5*h**3 - 3/5*h**5 + 13/5*h**4 = 0 for h.
-1, 0, 1/3, 1, 4
Suppose 6*w = 8*w + 2. Let f be (w/2)/((-26)/12 - -2). Factor -171 - 8*o**2 - 27*o**2 - 75*o + 2*o**f + 126 - 7*o**3.
-5*(o + 1)*(o + 3)**2
Let m be 1417 - ((-38)/14 - (-14)/(-49)). Find r, given that -m*r**2 + 706*r**2 - 5*r**3 + 659*r**2 = 0.
-11, 0
Let t(s) be the first derivative of -12/5*s**5 + 200 + s**4 + 0*s**2 + 28/3*s**3 - 2/3*s**6 - 16*s. Find k such that t(k) = 0.
-2, -1, 1
Suppose -2*t + 6 = -5*t, u = -4*t - 6. Suppose 20 = 2*c - 3*z, -u*c - 4*z = -0*z - 6. Suppose 4 + c*k - k - 3*k**2 - 2*k = 0. What is k?
-2/3, 2
Let i(q) be the first derivative of -35/12*q**4 + 19 + 11*q + 65/6*q**3 - 15*q**2. Let o(s) be the first derivative of i(s). Let o(t) = 0. What is t?
6/7, 1
Let b = -385317 + 385329. Solve -34/3 - 2/3*q**2 - b*q = 0.
-17, -1
Let z(s) be the first derivative of s**6/135 - s**5/45 - s**4/54 + 2*s**3/27 - 171*s + 99. Let k(f) be the first derivative of z(f). Factor k(g).
2*g*(g - 2)*(g - 1)*(g + 1)/9
Let r be 2 + 6/(-8) + 133/76. Suppose -5*i + 2*a - 5 = -r*a, 0 = 3*a - 9. Factor -2 + 5 + z - 2 + 7*z + 16*z**i.
(4*z + 1)**2
Suppose 0 = -32*o + 89 + 39. Factor 13*g**2 + 205*g**3 + 3*g**2 - 209*g**3 - 8*g - o*g**2.
-4*g*(g - 2)*(g - 1)
Determine j so that 6109 - 105*j - 104*j**2 - 5659 + 107*j**2 = 0.
5, 30
Let k = 112333/62285 - 44/12457. Suppose k - 1/10*r**2 + 7/10*r = 0. Calculate r.
-2, 9
Let o be (-762)/(-30) - (-2 + 24/10). Factor -o*g**2 - 22*g + 46*g**2 - 22*g**2.
-g*(g + 22)
Let c(z) = -z - 1. Let t be c(-5). Factor t*y**3 - 30*y + 4 + 26*y + 0*y**2 - 4*y**2.
4*(y - 1)**2*(y + 1)
Suppose 0 = -5*j + 10*j + 5*x - 1275, 0 = -4*j - 2*x + 1018. Let -3921*n - 86*n**2 - 783*n - 2*n**3 + 43904 + j*n**2 = 0. What is n?
28
Factor 228/11 + 224/11*c**2 - 454/11*c + 2/11*c**3.
2*(c - 1)**2*(c + 114)/11
Let h(b) be the third derivative of 0*b**3 - 297*b**2 - 1/126*b**7 + 0*b + 5/18*b**5 - 2 + 1/72*b**6 + 5/9*b**4. Suppose h(x) = 0. Calculate x.
-2, -1, 0, 4
Suppose 8*o = 29 - 261. Let b = 45 + o. Solve -71*d - b*d**2 + 39*d + 16 - 11*d - 17*d = 0 for d.
-4, 1/4
Let u(x) be the first derivative of 2*x**3/39 - 151*x**2/13 + 888*x/13 + 7305. Factor u(m).
2*(m - 148)*(m - 3)/13
Suppose 0 = 2*k - p - 11, -14855 + 14802 = -2*k + 7*p. Factor -1/4*w**3 + 7*w**k + 13/2 - 53/4*w.
-(w - 26)*(w - 1)**2/4
Let c(r) be the third derivative of 3*r**6/10 + 1078*r**5/15 - 443*r**4/2 + 484*r**3/3 - 20*r**2 - 181. Factor c(f).
4*(f - 1)*(f + 121)*(9*f - 2)
Factor -5*l**2 + 27*l**3 + 50 + 5*l**3 - 3*l**2 + 5*l - 31*l**3.
(l - 5)**2*(l + 2)
Let d(v) be the second derivative of -3*v**5/80 - 3*v**4/4 + 45*v**3/8 - 848*v + 2. Factor d(l).
-3*l*(l - 3)*(l + 15)/4
Suppose -366*u + 767*u + 120*u = -1428*u + 9745. Determine n so that 0 - 4/13*n**u + 0*n + 0*n**2 + 10/13*n**4 - 4/13*n**3 = 0.
0, 1/2, 2
Let d(g) be the first derivative of 21*g**5/5 + 219*g**4/4 + 114*g**3 - 702*g**2 - 648*g + 1150. Factor d(z).
3*(z - 2)*(z + 6)**2*(7*z + 3)
Let t = 66 + -87. Let q be ((-6)/24)/(t/48). Let 0*c**2 + 2/7*c**3 - q - 6/7*c = 0. What is c?
-1, 2
Factor -7016/7*u + 6153032/7 + 2/7*u**2.
2*(u - 1754)**2/7
Let i be 12/(-3)*-5 + 6. Solve 71*n + 10 + 30*n - 5*n + i + 30*n**3 + 87*n**2 + 6*n**4 - 3*n**4 = 0 for n.
-6, -2, -1
Let h = -352963/5 - -70598. Factor 0 + 33/5*w**2 + 6/5*w + h*w**3.
3*w*(w + 1)*(9*w + 2)/5
Let u(g) be the second derivative of g**6/10 - 9*g**5/10 - 2*g**4 + 3*g**3 + 21*g**2/2 + 6*g - 15. Let u(v) = 0. What is v?
-1, 1, 7
Find l such that 10*l**3 - 551*l**2 - 53397*l + 644 - 15*l**3 + 53977*l + 3*l**4 + 49*l**3 = 0.
-23, -2/3, 2, 7
Let p(i) be the second derivative of -i**6/660 - 4*i**5/165 + i**4/12 + 6*i**3/11 + 27*i**2/2 - 90*i. Let y(a) be the first derivative of p(a). Factor y(n).
-2*(n - 2)*(n + 1)*(n + 9)/11
Let k = -1875 + 1230. Let b = -2579/4 - k. Determine p so that -3*p - b*p**2 - 9 = 0.
-6
Let g(r) be the third derivative of -r**7/273 - r**6/60 - 3*r**5/130 + r**4/156 + 2*r**3/39 + 1221*r**2. Factor g(w).
-2*(w + 1)**3*(5*w - 2)/13
Let x(p) be the first derivative of -5*p**4/12 + 25*p**3/6 - 10*p**2 - 221*p + 101. Let t(o) be the first derivative of x(o). Factor t(a).
-5*(a - 4)*(a - 1)
Suppose 140*h - 1902 - 2239 = -3721. Suppose 3/2 - 1/4*z**h + 11/4*z + z**2 = 0. What is z?
-1, 6
Factor -949*b - 2365*b**2 + 13 - 69472*b**3 - 108 + 69497*b**3.
(b - 95)*(5*b + 1)**2
Determine c, given that 10*c**3 - 95*c**2 + 625*c - 2420 + 1460 - 65*c - 5*c**3 = 0.
3, 8
Let h(w) be the third derivative of w**5/150 + 188*w**4/5 + 424128*w**3/5 + 2*w**2 - 156*w - 2. Factor h(q).
2*(q + 1128)**2/5
Let f(o) be the third derivative of o**5/180 + 50*o**4 + 180000*o**3 - 2*o**2 + 386*o. Factor f(b).
(b + 1800)**2/3
Let g be ((-4)/(-6))/((-1)/15). Let c(b) = 36*b + 27*b - 10 - 73*b - 12*b**2. Let h(u) = u**2 + u + 1. Let v(p) = g*h(p) - c(p). Factor v(d).
2*d**2
Let s = -189 + 105. Let i = s + 88. Find d, given that -d**2 + 3 + 2*d + 0 + 0*d - i = 0.
1
Suppose -5*t + 295 = -2*k, 5*t - 2*k - k = 300. Suppose -5*g - 42 + t = 0. Factor -p**4 - 2*p + 0*p**3 - 4*p**3 + 7*p**g - p**5 + p**2.
-p*(p - 1)**2*(p + 1)*(p + 2)
Let t(g) be the second derivative of g**4/54 + 2014*g**3/27 + 1014049*g**2/9 - 2*g - 61. Factor t(u).
2*(u + 1007)**2/9
Let i(l) be the third derivative of -l**6/24 + 41*l**5/3 - 4400*l**4/3 + 64000*l**3/3 - 5199*l**2. Factor i(z).
-5*(z - 80)**2*(z - 4)
Let v(h) = -2*h**3 - 20*h**2 + 21*h - 11. Let b be v(-11). Let w(d) be the third derivative of d**2 + 0 + b*d + 2/21*d**4 + 1/210*d**5 + 1/3*d**3. Factor w(o).
2*(o + 1)*(o + 7)/7
Let t = -315647/4 - -78913. What is o in -t*o**5 + 0 + 10*o**2 + 5/4*o**4 + 0*o + 25/2*o**3 = 0?
-2, -1, 0, 4
Suppose -227 = 5*p - 8*s + 10*s, 4*p - s = -179. Let y be (-5)/(-1)*(4/p)/(-2). Find v such that -y*v**3 + 2/3*v**2 - 4/9*v + 0 = 0.
0, 1, 2
Let k be ((-6280)/173328 - (-6)/(-46))*10/(-1). Factor -10 + 5/3*s**2 - k*s.
5*(s - 3)*(s + 2)/3
Let g(u) be the third derivative of -4/15*u**5 + 1/2*u**4 - 107*u - 2*u**2 + 0 + 1/30*u**6 + 0*u**3. Solve g(i) = 0 for i.
0, 1, 3
Let z(s) be the first derivative of 14*s**3/3 - 839*s**2 + 1428*s + 3428. Factor z(j).
2*(j - 119)*(7*j - 6)
Let y be (12/10)/(6/15). Let w be (-28)/8*(366310/(-4410) + 83). What is c in -w*c**y + 0*c + 0 + 0*c**2 = 0?
0
Let v = 3073/21715 - 1/505. Let s = v + 1862/215. Let 0 + 4/5*l - 198/5*l**4 + 157/5*l**3 - s*l**2 + 81/5*l**5 = 0. Calculate l.
0, 2/9, 1
Let q(y) be the first derivative of y**4/3 - 8*y**3/3 + 10*y**2/3 + 16*y + 39. Solve q(l) = 0.
-1, 3, 4
Let l(a) = 7*a**2 + 132*a + 4225. Let p = 109 + -103. Let b(h) = 59*h**2 + 1057*h + 33800. Let v(j) = p*b(j) - 51*l(j). Factor v(y).
-3*(y + 65)**2
Let x(a) be the second derivative of a**5/20 + 5*a**4 + 319*a**3/2 + 841*a**2 + 2767*a. Factor x(y).
(y + 2)*(y + 29)**2
Let c(g) be the third derivative of -g**6/180 - 2*g**5/15 - g**4 - 32*g**3/9 - 35*g**2 - 3*g + 9. Suppose c(j) = 0. What is j?
-8, -2
Factor 2/9*j**3 + 116/3 + 46/9*j - 20/3*j**2.
2*(j - 29)*(j - 3)*(j + 2)/9
Suppose -2*t - 31*t + 462 = 0. Suppose 4*n + t*j = 11*j + 20, -j = 3*n - 10. Find l such that -3/4*l**n - 27/4 + 9/2*l = 0.
3
Let q(h) = -5*h**2 - 145*h - 115. Let z(s) be the second derivative of -19/2*s**2 - 1/12*s**4 + 17*s - 4*s**3 + 0. Let w(l) = 4*q(l) - 25*z(l). Factor w(v).
5*(v + 1)*(v + 3)
Let j(n) be the first derivative of 2/5*n**5 + 0*n + 5/4*n**4 + 0*n**2 - 2*n**3 - 10 - 1/6*n**6. Solve j(r) = 0.
-2, 0, 1, 3
Let x(o) = 55*o + 24*o**2 - 25*o**2 - o. Let f be x(54