Solve q(i) = 0.
0, 216
Let m(x) be the first derivative of x**7/2240 - 11*x**6/960 + 3*x**5/40 + 9*x**4/16 + 20*x**3/3 + 49. Let l(d) be the third derivative of m(d). Factor l(s).
3*(s - 6)**2*(s + 1)/8
Suppose 1373*q = 1367*q + 120. Suppose q*k + 562 = 602. Suppose 1/2*r**3 - 2 + 4*r - 5/2*r**k = 0. Calculate r.
1, 2
Let r(v) be the second derivative of 2*v - 3 + 42*v**2 - 1/3*v**4 - 8/3*v**3. Factor r(i).
-4*(i - 3)*(i + 7)
Factor -2/21*c**2 - 1584200/21 + 3560/21*c.
-2*(c - 890)**2/21
Let n(i) be the third derivative of i**6/210 + 261*i**5/35 - 56*i**4/3 + 1237*i**2 - i + 1. Find d such that n(d) = 0.
-784, 0, 1
Determine s, given that 1025*s**4 + 1020*s**4 - 2043*s**4 = 0.
0
Let h(l) = 6*l. Let z(v) = -v**2 + 12*v - 1. Suppose 0 = m + j - 6 + 3, 3*j + 40 = 4*m. Let d = -307 + 304. Let y(s) = d*z(s) + m*h(s). Solve y(n) = 0.
-1
Suppose -5*v - 20 = -2*d, -3*v - 21 = -3*d - 0*d. Determine s so that -662*s**3 + d*s**5 + 8*s**4 - 8*s**2 - 6*s - 3*s**5 + 666*s**3 = 0.
-3, -1, 0, 1
Let j(n) be the first derivative of n**5/15 + 31*n**4/6 - 64*n**3/3 + n**2 - 22. Let d(y) be the second derivative of j(y). Find m, given that d(m) = 0.
-32, 1
Let i = -128 - -75. Let q = 60 + i. Solve -q*v - 4*v**4 - v + 35*v**2 - 23*v**2 = 0 for v.
-2, 0, 1
Let y = -9049 - -9052. Let r(l) be the first derivative of -22 + 48/5*l - 12/5*l**2 + 1/5*l**y. Suppose r(i) = 0. What is i?
4
Factor -159/4*d**2 + 3/4*d**4 - 75/4*d**3 - 81/4*d + 0.
3*d*(d - 27)*(d + 1)**2/4
Let f(l) = -18897*l - 529112. Let r be f(-28). Solve -17*q**r + 20*q - 104*q**2 + 4/5*q**5 + 501/5*q**3 + 0 = 0 for q.
0, 1/4, 1, 10
Solve 45*w**2 - 16*w**5 - 41*w**3 - 10*w**4 + 11*w**5 + 142*w**3 - 6*w**3 + 55*w**2 = 0.
-5, -1, 0, 4
Let j(d) be the third derivative of d**7/280 - 47*d**6/480 - 3*d**5/40 + d**4/3 - 7*d**2 - 98*d - 2. Find y, given that j(y) = 0.
-1, 0, 2/3, 16
Let s(q) be the third derivative of q**7/210 - 59*q**6/120 + 57*q**5/20 - 169*q**4/24 + 28*q**3/3 + 1439*q**2. Factor s(x).
(x - 56)*(x - 1)**3
Factor 0 + 0*b - 3/4*b**3 - 297/4*b**2.
-3*b**2*(b + 99)/4
Determine y, given that 17*y**3 + 405*y**3 - 40 + 15*y**2 + 1493*y**3 - 23*y**5 - 290*y - 1975*y**4 + 398*y**5 = 0.
-1/5, 2/3, 1, 4
Let r be -3 + (-25)/(-9) - (-438)/27. Determine y, given that -49*y**5 - 105*y**3 - 56*y**4 + 236*y**3 + 70*y**2 - 64*y - r - 16 = 0.
-2, -4/7, 1
Let c = 134 - 128. Suppose r = -4*f + 9, 33*r - 29*r = 5*f - c. Solve 0 - 2/5*q**4 + 8/5*q - 2/5*q**3 + 8/5*q**f = 0 for q.
-2, -1, 0, 2
Let p(i) = -7*i**2 - i. Let b(y) = 58*y**2 + 102*y + 92. Let f(z) = -b(z) - 8*p(z). Determine u, given that f(u) = 0.
-46, -1
Let d = -36 - -38. Suppose 9 = -d*f + 3*z + 22, 3*f - 3 = -z. Determine a, given that 30*a + 2*a**2 - 4*a**2 - 45 - a**2 - f*a**2 = 0.
3
Suppose -2*r = w - 2, r + 51*w - 23 = 56*w. Suppose -6 = -k - 2*k. Factor -z**k + 3 - 2*z**2 - 3*z + r*z**3 + 3*z - 3*z.
3*(z - 1)**2*(z + 1)
Let o be (-56 + (-2236)/(-40))/((-2)/5). Determine j, given that 3 - o*j**2 - 11/4*j = 0.
-12, 1
Solve 90*h**3 - 18140*h + 36647*h - 5*h**5 - 15*h**4 - 18347*h + 70*h**3 - 300*h**2 = 0 for h.
-8, 0, 1, 2
Let p(z) be the first derivative of -z**6/1080 + 11*z**5/360 - 13*z**3/3 - 2*z + 42. Let x(i) be the third derivative of p(i). Factor x(y).
-y*(y - 11)/3
Let v(k) be the second derivative of 0 + 1/30*k**4 - 67*k - 3/5*k**2 + 2/15*k**3. Factor v(q).
2*(q - 1)*(q + 3)/5
Let m(k) = -13*k**4 + 2000*k**3 + 197990*k**2 - 401991*k + 202005. Let n(a) = -2*a**4 + a. Let w(i) = -m(i) + 9*n(i). Determine d so that w(d) = 0.
-201, 1
Let y be (2 - -2)*2/4. Suppose -306*t + 92 = 190*t + 92. Find l, given that -8/5*l**3 - 2/5*l**4 - 4/5*l + t - y*l**2 = 0.
-2, -1, 0
Determine x so that 45*x + 10*x**2 + 12*x**2 + 7*x**2 + 16*x**2 - x**3 - x**2 = 0.
-1, 0, 45
Let f(u) be the first derivative of u**5 - 45*u**4/4 + 25*u**3 + 125*u**2/2 - 6465. Suppose f(b) = 0. Calculate b.
-1, 0, 5
Let s(j) be the third derivative of j**7/30 + 3*j**6/40 - 17*j**5/15 + 3*j**4/2 + 8*j**3/3 + 128*j**2 - 5. Suppose s(p) = 0. Calculate p.
-4, -2/7, 1, 2
Let -17550 - 4373710*b**4 + 3178*b**2 + 765*b - 427*b**2 + 726*b**2 + 360*b**3 + 4373662*b**4 = 0. What is b?
-15/4, 2, 13
Let r(c) be the first derivative of 0*c**4 + 6*c**2 - 3/10*c**5 + 113 + 3*c**3 + 9/2*c. Find j, given that r(j) = 0.
-1, 3
Factor 0*i + 6/5*i**5 - 48*i**2 - 216/5*i**3 - 36/5*i**4 + 0.
6*i**2*(i - 10)*(i + 2)**2/5
Suppose 0 = -22*r + 7*r + 345. Factor -3*b**4 - 23 + 5*b**2 - r*b**2 + 12*b**3 + 12*b + 20.
-3*(b - 1)**4
Suppose 3*p + 568 = 3562. Factor -p*f**2 - f + 1008*f**2 + f - 5*f**4 + 5*f**3.
-5*f**2*(f - 2)*(f + 1)
Let d(o) = -11*o**2 - 154*o - 869. Let s(z) = 2*z + 61. Let q be s(-28). Let f(b) = 5*b**2 + 76*b + 434. Let y(k) = q*f(k) + 2*d(k). Factor y(l).
3*(l + 12)**2
Let y(o) be the second derivative of -o**4/48 + o**3/2 + 133*o**2/8 + o + 13. Factor y(i).
-(i - 19)*(i + 7)/4
Let a = 237407 + -237404. Determine f so that -55/3*f**2 + 20*f**a + 10/3*f + 0 + 5/3*f**4 - 20/3*f**5 = 0.
-2, 0, 1/4, 1
Let t(g) = 10*g**3 - 35*g**2 - 20*g + 85. Let l(v) = -13*v**3 + 35*v**2 + 17*v - 87. Let j(a) = 5*l(a) + 6*t(a). Factor j(m).
-5*(m - 1)*(m + 3)*(m + 5)
Let f(h) be the third derivative of -h**8/20160 + h**7/945 + h**4/24 - 55*h**3/2 - 221*h**2. Let r(z) be the second derivative of f(z). Solve r(x) = 0 for x.
0, 8
Let f(y) = 4*y**3 - 584*y**2 + 578*y - 10. Let w(u) = 8*u**3 - 1168*u**2 + 1155*u - 25. Let m(c) = -5*f(c) + 2*w(c). Factor m(g).
-4*g*(g - 145)*(g - 1)
Factor -5*p**2 + 3230 - 330*p + 191*p + 34*p.
-5*(p - 17)*(p + 38)
Let a(y) = -4*y**3 + 32*y**2 + 64*y - 4. Let h(p) = -10*p**3 + 96*p**2 + 192*p - 11. Let g(b) = 11*a(b) - 4*h(b). Factor g(u).
-4*u*(u + 4)**2
Suppose 0 = 46*w - 64*w + 36. Factor -746*l - 2*l**3 + 218*l + 13*l**2 - 576 + 34*l**w + l**3.
-(l - 24)**2*(l + 1)
Let u(r) = 2*r**2 + 966*r + 14. Let m(v) = -v**2 - 484*v - 8. Let f(p) = 7*m(p) + 4*u(p). Factor f(l).
l*(l + 476)
Let x(l) = l**2 - 5*l - 10. Let v be x(7). Suppose 602*w = 281*w + 352*w - 124. Factor -2*u**w + v*u**2 + 0*u + 0 + 14/3*u**3.
-2*u**2*(u - 3)*(3*u + 2)/3
Let k be 13052/(-251) + 64 + -6. Factor 10/3*n**3 - 4/3 + 14/3*n - k*n**2 - 2/3*n**4.
-2*(n - 2)*(n - 1)**3/3
Let k(y) be the third derivative of y**6/120 - 7*y**5/15 + 25*y**4/6 - 16*y**3 - 103*y**2 + 7*y. Determine o so that k(o) = 0.
2, 24
Suppose m - 25 = -4*m. Suppose 5*v**5 + 15*v**4 - 4*v**m + 34*v**3 - 35*v - 25 + 14*v**2 - 4*v**4 = 0. Calculate v.
-5, -1, 1
Let w(l) = -5 + 3*l**2 + 2 - 3*l + 3*l**2 + 8 - 6*l**4 - 11. Let y(o) = 17*o**4 - 17*o**2 + 8*o + 16. Let r(j) = 8*w(j) + 3*y(j). Factor r(h).
3*h**2*(h - 1)*(h + 1)
Let x(t) be the first derivative of -3*t**4/20 - 33*t**3/5 - 177*t**2/10 + 279*t/5 + 496. Factor x(g).
-3*(g - 1)*(g + 3)*(g + 31)/5
Factor 28420 + 285*l**2 - 2197*l - 1413*l - 5*l**3 - 1430*l.
-5*(l - 29)*(l - 14)**2
Let a(l) be the first derivative of l**4/26 - 140*l**3/39 + 136*l**2/13 + 10136. Factor a(d).
2*d*(d - 68)*(d - 2)/13
Let t(p) = -p**3 + 26*p**2 - 109*p - 426. Let j be t(19). Factor -15*r**2 - 20 - 5/2*r**3 - j*r.
-5*(r + 2)**3/2
Factor -36/5 + 18/5*j - 2/5*j**2.
-2*(j - 6)*(j - 3)/5
Factor -233*n**4 + 108*n**4 - 26 + 13*n**3 - 3*n**2 + 126*n**4 - 41*n.
(n - 2)*(n + 1)**2*(n + 13)
Let n(x) be the second derivative of -x**6/60 + 2*x**5/15 + 19*x**4/12 + 14*x**3/3 + 7*x**2/2 + x - 39. Let s(m) be the first derivative of n(m). Factor s(c).
-2*(c - 7)*(c + 1)*(c + 2)
Let v(u) be the first derivative of 117/2*u**2 + 4*u**3 + 96 - 30*u. Solve v(p) = 0 for p.
-10, 1/4
Factor -o**3 - 184/3*o**2 + 62/3 + 125/3*o.
-(o - 1)*(o + 62)*(3*o + 1)/3
Let j(m) = -2*m**3 - 8*m**2 + 18*m + 34. Let u(v) = 7*v**3 + 32*v**2 - 73*v - 137. Let b(r) = -9*j(r) - 2*u(r). Factor b(c).
4*(c - 2)*(c + 2)**2
Suppose -3*y + 2*z = y - 14, z = 3. Let s be ((-87)/(-58))/(21/28). Determine u so that y*u**s + 18 - 6*u - 3*u**2 - 9 - u**2 = 0.
3
Let d = -7092/7 - -28375/28. Factor -1/2 + 1/4*s + d*s**2.
(s - 1)*(s + 2)/4
Find j such that 0 + 5/3*j**4 + 70/3*j**3 + 0*j + 80*j**2 = 0.
-8, -6, 0
Let h = -1196 + 1195. Let w be (7/(1323/(-36)))/(h/12). Factor -w*f**3 + 6/7*f + 10/7*f**2 + 0.
-2*f*(f - 1)*(8*f + 3)/7
Let z(x) be the third derivative of x**8/1344 - 17*x**6/160 + x**5/24 + 25*x**4/4 - 101*x**2 + 3*x + 3. Factor z(n).
n*(n - 5)**2*(n + 4)*(n + 