 m(t) = 0.
-1, -2/207
Let n(w) = 25*w**3 - 20330*w**2 - 41255*w + 55. Let j(u) = u**3 - 753*u**2 - 1528*u + 2. Let y(s) = 55*j(s) - 2*n(s). Suppose y(k) = 0. Calculate k.
-2, 0, 153
Let g(k) be the second derivative of -4*k - 2/9*k**4 + 0*k**2 + 4 + 0*k**3 + 1/30*k**5. Factor g(f).
2*f**2*(f - 4)/3
Let f = 2560 - 2538. Suppose -n - f = -12*n. Factor -2/21*y**3 - 2*y + 8/7*y**n - 28/3.
-2*(y - 7)**2*(y + 2)/21
Let b(u) be the third derivative of -u**7/210 - 3*u**6/40 + 47*u**5/60 - 21*u**4/8 + 13*u**3/3 - 1281*u**2. Factor b(s).
-(s - 2)*(s - 1)**2*(s + 13)
Suppose -40 + 2/7*c**2 + 136/7*c = 0. Calculate c.
-70, 2
Let t(w) = 29*w**2 - 9*w - 26. Let a(q) = 24*q**2 - 9*q - 25. Let n(m) = -6*a(m) + 5*t(m). Find p such that n(p) = 0.
-5, -4
Let l(c) be the third derivative of c**2 + 19 - 1/210*c**5 + 0*c - 25/21*c**3 + 5/42*c**4. Let l(h) = 0. Calculate h.
5
Suppose -10 = 2092*q - 2094*q + 2*l, -q - 3*l = 7. Factor 0 + 0*h + 3*h**q - 5/2*h**3 + 1/2*h**4.
h**2*(h - 3)*(h - 2)/2
Let -75/2*o**2 - 1/4*o**3 - 2738 - 1443*o = 0. What is o?
-74, -2
Suppose -5*r**4 + 5*r**5 - 25*r**2 + 480*r + 77*r**2 + 124*r**2 + 15*r**3 + 180 - 40*r**4 + 189*r**2 = 0. What is r?
-1, 6
Suppose 5*v + 5*s = 75, -s - 2*s - 83 = -5*v. Let q(j) = -27*j**3 - j**2 - 5*j - 4. Let p be q(-1). Suppose -v*r - 17*r + p*r + 9 + r**2 = 0. Calculate r.
3
Let s = 1879/78 + -557/26. Suppose -2/3*t**5 - 16/3 - 2/3*t**3 + 20/3*t**2 - s*t**4 + 8/3*t = 0. Calculate t.
-2, 1
Let w(d) be the first derivative of 1/24*d**4 - 1/12*d**2 + 7/18*d**3 - 7/6*d - 11. Solve w(u) = 0.
-7, -1, 1
Let l = -350 + 362. Factor -39*z**2 + 3*z + 11*z - 5*z + 6*z**3 + l*z**2 + 12.
3*(z - 4)*(z - 1)*(2*z + 1)
Let p = 45055/24 - 1877. Let j(s) be the third derivative of 16*s**2 + 1/60*s**5 + s**3 + p*s**4 + 0 + 0*s. Factor j(v).
(v + 1)*(v + 6)
Let x(p) be the second derivative of 0*p**3 + 0*p**2 + 4/25*p**5 - 3 - 7/75*p**6 - p + 1/105*p**7 + 8/15*p**4. Factor x(t).
2*t**2*(t - 4)**2*(t + 1)/5
Let f(x) be the third derivative of 2/105*x**7 + 4/3*x**3 + 1/30*x**6 + 0 - 1/6*x**4 + 48*x - 1/5*x**5 + 2*x**2. Let f(u) = 0. Calculate u.
-2, -1, 1
Let o(r) = -r**4 + 58*r**3 - 52*r**2 - 62*r + 63. Let j(z) = -57*z**3 + 51*z**2 + 63*z - 66. Let g(c) = 2*j(c) + 3*o(c). Suppose g(b) = 0. What is b?
-1, 1, 19
Suppose -4*x - 800 + 804 = 0, -u + 2*x - 2 = 0. Let o(v) be the first derivative of 11 + 0*v - v**5 + u*v**2 - 5/2*v**4 - 5/3*v**3. Let o(n) = 0. Calculate n.
-1, 0
Let u(z) be the second derivative of -z**4/8 - 25*z**3/4 - 231*z**2/2 - 2*z + 219. Determine o so that u(o) = 0.
-14, -11
Let w(h) be the first derivative of -49*h**4/4 - 91*h**3 + 465*h**2/2 - 175*h - 1253. Suppose w(f) = 0. What is f?
-7, 5/7
Suppose u + 8 = 5*u. Suppose 4*r - 18 = h, -h + u*r + 7 = 3*r. Factor -64*d**3 + 123*d**3 - 58*d**3 + 2*d - 3*d**h.
d*(d - 2)*(d - 1)
Let w(b) be the second derivative of b**6/6 + 7*b**5/4 - 25*b**4/4 - 875*b**3/6 - 625*b**2 - 6172*b. Factor w(c).
5*(c - 5)*(c + 2)*(c + 5)**2
Let n(s) = 236*s**2 - 1188*s + 1180. Let k(y) = 296*y**2 - 1189*y + 1178. Let o(t) = 4*k(t) - 5*n(t). Let o(i) = 0. Calculate i.
-297, 1
Let w(y) be the third derivative of 25/12*y**5 - 25/3*y**4 - 2 + 40/3*y**3 + 5*y**2 + 0*y. Factor w(o).
5*(5*o - 4)**2
Suppose 49 = -3*b + 46. Let l(m) = 35*m**3 - 25*m**2 - 40*m + 30. Let x(y) = 2*y**3 - 2*y**2 - y + 1. Let g(f) = b*l(f) + 15*x(f). Let g(d) = 0. Calculate d.
-3, 1
Suppose 0*h = -4*q - 3*h + 625, -2*h = 5*q - 776. Factor -3*l**2 + 180*l**3 - 5*l**5 + 11*l**4 + 6*l**5 - q*l**3 + 19*l**2.
l**2*(l + 1)*(l + 2)*(l + 8)
Suppose 195*l = -97*r + 197*l + 368, 0 = 4*r + 2*l - 36. Solve 0*t**r - 6*t + 7/2*t**3 - t**2 - 1/2*t**5 + 4 = 0.
-2, 1, 2
Solve 0 - 32/23*m - 2/23*m**3 + 16/23*m**2 = 0.
0, 4
Let q be (-8 + 13)*(-9)/(-15). Let i(k) be the first derivative of 42*k - k**q - 21*k**2 - 4*k - 113*k - 13 - 72*k. Factor i(y).
-3*(y + 7)**2
Let s be 2/((-8)/(-9))*(2 + 18). Let f = 47 - s. Factor 81*k**2 - 24*k**2 - 27*k**2 - 28*k**2 - f*k**4.
-2*k**2*(k - 1)*(k + 1)
Let z(g) = 7231*g + 216933. Let q be z(-30). Factor 25/3*n**4 + 70744/3*n**2 - 19296*n + 3888 + 2680/3*n**q.
(n + 54)**2*(5*n - 2)**2/3
Let a(b) = -5*b**2 - 11*b - 8. Let j(r) = 5*r**2 + 12*r + 6. Suppose 0 = -2*o + 2*h - 4, 5*o - 4 + 18 = 3*h. Let n(i) = o*j(i) - 3*a(i). Factor n(p).
-5*p*(p + 3)
Let r(w) be the first derivative of 2*w**2 + 2*w**2 - 5*w**2 + 38*w**3 - 6 - 13*w**2 + 13*w**2. Solve r(k) = 0 for k.
0, 1/57
Let g(x) = -10*x**2 - 31*x - 11. Let c(j) be the third derivative of j**5/30 + j**4/4 + j**3/3 - 9*j**2 - 4*j. Let r(f) = -11*c(f) - 2*g(f). Factor r(n).
-2*n*(n + 2)
Let b = -4618/257 - -2269639/129785. Let y = 12/101 - b. Suppose 24/5*r - 9/5*r**3 - y*r**2 - 12/5 = 0. What is r?
-2, 2/3, 1
Let f = 121165 - 605822/5. Determine u, given that f*u**3 + 0 + 0*u**4 - 1/5*u**5 + 2/5*u**2 + 0*u = 0.
-1, 0, 2
Suppose -21 = 8*u + 19. Let x(k) = -3*k**2 - 246*k + 8192. Let n(i) = -2*i**2 - 248*i + 8192. Let o(j) = u*n(j) + 4*x(j). Factor o(q).
-2*(q - 64)**2
Let v(m) be the first derivative of 0*m - 1025*m**3 + 27*m**5 - 339 + 685/4*m**4 + 5/6*m**6 + 1125*m**2. Determine s so that v(s) = 0.
-15, 0, 1, 2
Let t(n) be the first derivative of n**5/20 + 3*n**4/8 - 2*n**3 - 101*n**2/2 + 13. Let z(c) be the second derivative of t(c). Suppose z(l) = 0. What is l?
-4, 1
Factor 16/5*t**2 - 14/5*t**4 + 0 - 2/5*t**3 + 0*t.
-2*t**2*(t - 1)*(7*t + 8)/5
Let i(g) be the third derivative of -13*g**2 - 1 + 13/252*g**4 - 2/9*g**3 + 1/630*g**5 + 0*g. Solve i(s) = 0 for s.
-14, 1
Let a = 80011/60006 - 1/20002. Let y(r) be the first derivative of 2/9*r**3 - r**2 + 32 + 2/15*r**5 - a*r + 1/2*r**4. Factor y(u).
2*(u - 1)*(u + 1)**2*(u + 2)/3
Factor -2725*m + 38*m**2 - 58*m**2 - 2470 - 20*m**2 - 162*m**2 - 58*m**2 - 5*m**3.
-5*(m + 1)*(m + 13)*(m + 38)
Factor 746 + 508*j + 45 + 97 + 42*j + 622*j - 16*j**2.
-4*(j - 74)*(4*j + 3)
Let i(u) be the second derivative of -3*u**7/28 + 721*u**6/300 - 349*u**5/100 + u**4 - 265*u - 4. Find h, given that i(h) = 0.
0, 2/9, 4/5, 15
Let d be (-6 + 7)/(1*1/(-5)). Let s(n) = n**3 + 5*n**2 + n + 8. Let h be s(d). Solve -12*a**3 - a**h + 18*a + 10*a**3 + 15*a**2 = 0 for a.
-1, 0, 6
Let c(l) be the second derivative of l**7/21 + 29*l**6/15 + 52*l**5/5 + 50*l**4/3 - 7103*l. Find q, given that c(q) = 0.
-25, -2, 0
Let a be (-6)/(-45) + ((-1976)/195 - -10). Let z(n) be the second derivative of -4*n - 10/3*n**3 - 1/3*n**4 + 0*n**2 + a. Factor z(o).
-4*o*(o + 5)
Let t(k) be the first derivative of -180 + 6/5*k**2 + 4*k - 56/15*k**3. Suppose t(l) = 0. Calculate l.
-1/2, 5/7
Let c(a) be the second derivative of 0*a**2 + 35*a - a**3 + 1/20*a**5 + 5/12*a**4 - 3. Factor c(x).
x*(x - 1)*(x + 6)
Suppose 41*n = -v + 44*n + 54, -123 = -3*v - 4*n. Suppose 89*h - v = 74*h. Let 6/5 - 6/5*q**2 + 2/5*q - 2/5*q**h = 0. What is q?
-3, -1, 1
Suppose -2*q - 38 = -5*p + 12, 3*p - 29 = q. Let l be -1 - (-10)/p - (-91)/4. Determine i so that -6*i**2 - l - 2*i**2 + 31 - 30*i = 0.
-4, 1/4
Let y(x) = 2*x**3 + x**2 + 1. Let m(s) = -9*s**3 - 48*s**2 + 520*s - 1205. Let k(p) = -4*m(p) - 20*y(p). Find i such that k(i) = 0.
3, 20
Let p(m) be the first derivative of m**7/1050 - m**6/450 + 17*m**3/3 - m**2 - 49. Let z(j) be the third derivative of p(j). Factor z(s).
4*s**2*(s - 1)/5
Suppose a - 5*w + 12 = 0, -19*w + 18*w + 3 = 0. Solve -13*j**a + 3*j**4 + 8*j**3 - 108*j + 120*j**2 - 34*j**3 = 0.
0, 2, 9
Let i(u) be the second derivative of -2 - 7/24*u**3 - 2*u + 1/48*u**4 + 5/4*u**2. Factor i(v).
(v - 5)*(v - 2)/4
Let a(w) be the second derivative of -w**6/90 + w**5/6 - 104*w**3/3 - 108*w. Let c(g) be the second derivative of a(g). Solve c(b) = 0 for b.
0, 5
Let u(o) be the first derivative of 0*o - 24/35*o**5 - 1/14*o**6 - 37 + 0*o**2 + 0*o**3 - 3/4*o**4. Let u(r) = 0. Calculate r.
-7, -1, 0
Let m(s) = s**3 - 5*s**2 + 11*s - 11. Let x(u) = -2*u - 2. Let t(h) = 3*h + 6. Let a(i) = t(i) + 2*x(i). Let c(f) = -12*a(f) - 3*m(f). Factor c(v).
-3*(v - 3)*(v - 1)**2
Let a(o) be the first derivative of -o**5/5 - 81*o**4/4 - 157*o**3/3 + 81*o**2/2 + 158*o - 405. Let a(x) = 0. What is x?
-79, -2, -1, 1
Let x = 14484 + -28953/2. Let t(k) be the first derivative of 5 + 5/6*k**6 + x*k**4 + 5/2*k**2 - 4*k**5 - 20/3*k**3 + 0*k. Factor t(r).
5*r*(r - 1)**4
Let c be (-75)/(-20)*(-3)