 be (1059/1765*(-5)/3)/((-3)/6). Factor -10*y + 0 + 2/3*y**s.
2*y*(y - 15)/3
Let h(o) be the second derivative of -o**7/840 - o**6/20 - 3*o**5/5 + 125*o**2/2 - 8*o + 6. Let a(c) be the first derivative of h(c). Factor a(p).
-p**2*(p + 12)**2/4
Factor 170*w**2 - 75*w**2 + 770 + 1545*w - 85*w**2.
5*(w + 154)*(2*w + 1)
Let m(l) = -2*l**2 + l**3 - 11*l**2 + 491 - 285*l + 31*l**2 + 3*l**2. Let w(y) = 15*y**3 + 295*y**2 - 3990*y + 6875. Let o(f) = 55*m(f) - 4*w(f). Factor o(b).
-5*(b - 3)**2*(b + 11)
Suppose 120 = 134*d - 131*d. Let g = -2 + 5. Factor d*o**2 + 14*o**g + 35*o**2 - 71*o**2.
2*o**2*(7*o + 2)
Factor -2*y**3 - 36*y**4 - 213*y + 549*y + 1504*y**2 - 42*y**3.
-4*y*(y - 6)*(y + 7)*(9*y + 2)
Let l(j) be the first derivative of -j**3/2 + 3387*j**2 - 7647846*j + 2056. Determine r, given that l(r) = 0.
2258
Let m(z) be the third derivative of 1/660*z**6 + 0*z**3 + 2*z - 1/330*z**5 + 1/1155*z**7 - 1/132*z**4 + 0 + 27*z**2. Find v, given that m(v) = 0.
-1, 0, 1
Let u(n) be the third derivative of n**5/150 - 41*n**4/60 - 12*n**3 + 5845*n**2. Determine x so that u(x) = 0.
-4, 45
Let h(f) = 7*f**3 - 199*f**2 - 863*f - 840. Let x(q) = -2*q**3 + 57*q**2 + 247*q + 240. Let y(r) = 10*h(r) + 34*x(r). Determine w so that y(w) = 0.
-2, 30
Factor 825/4*t + 413/2 - 1/4*t**2.
-(t - 826)*(t + 1)/4
Suppose 0*t - 38*t**3 + 64/3*t**4 + 0 - 10/3*t**5 + 12*t**2 = 0. What is t?
0, 2/5, 3
Let b(d) be the third derivative of 17*d**9/6048 + 11*d**8/3360 - d**7/280 + 40*d**3/3 - 100*d**2 + 2*d. Let k(n) be the first derivative of b(n). Factor k(o).
o**3*(o + 1)*(17*o - 6)/2
Let x(g) be the second derivative of 2*g**6/15 + 84*g**5/5 + 1846*g**4/3 + 2296*g**3 + 3362*g**2 + 1252*g. Solve x(z) = 0 for z.
-41, -1
Let m(k) be the third derivative of -2/51*k**3 + 5*k + 0 - 5/102*k**5 + 7*k**2 - 1/4*k**4. Factor m(c).
-2*(c + 2)*(25*c + 1)/17
Let k be (72/(-30))/((-472)/590). Let g(y) be the first derivative of 0*y - 23/15*y**k - y**2 + 33 + 1/4*y**4. What is b in g(b) = 0?
-2/5, 0, 5
Let v(i) be the second derivative of -242*i**7/21 + 2882*i**6/15 + 94*i**5 - 1252*i**4 - 2352*i**3 - 1728*i**2 - 1796*i. What is t in v(t) = 0?
-1, -6/11, 2, 12
Suppose 131*h**2 + 3559 - 1529*h + 666 - 2826*h - h**3 = 0. Calculate h.
1, 65
Let h(n) = 5*n**4 - n**3 + n**2. Let l(o) = 11*o**4 + 12*o**3 - 13*o**2. Let c(k) = -2*h(k) + l(k). Solve c(s) = 0 for s.
-15, 0, 1
Let y(j) be the second derivative of j**5/20 - 2*j**4/3 + 2*j**3 + 1014*j - 1. Let y(h) = 0. Calculate h.
0, 2, 6
What is w in -18993881*w**3 + 673*w**2 - 5580*w - 605*w**4 - 62073*w**2 + 18824866*w**3 = 0?
-279, -2/11, 0
Let p(u) = -2*u + 1. Let j(o) = -2*o**2 - 212*o + 192. Let t(k) = -2*j(k) + 44*p(k). Let t(s) = 0. What is s?
-85, 1
Solve 63/2 + 1/4*a**2 + 45/4*a = 0.
-42, -3
Suppose 39*b + 72 = 47*b. Let s be -6 + 7 + 3/b. Let -8*c**4 + 0*c - 10/3*c**5 - s*c**2 + 0 - 6*c**3 = 0. Calculate c.
-1, -2/5, 0
Let a = -6 + -15. Let k be -1 - 2 - (-10 - a/3). Factor y**2 - 30*y**4 + k*y**3 + 23*y**4 + 6*y**3 - 2*y + 2*y**5.
y*(y - 2)*(y - 1)**2*(2*y + 1)
Let o = 64 + 39. Suppose -o*x + 116*x = 39. Suppose 0 - 5/3*s**3 + x*s**2 + 2/3*s = 0. Calculate s.
-1/5, 0, 2
Let v(f) be the second derivative of -11*f**6/40 - 13*f**5/10 - 19*f**4/8 - 2*f**3 - 63*f**2 - 16*f - 8. Let i(p) be the first derivative of v(p). Factor i(d).
-3*(d + 1)**2*(11*d + 4)
Let c(z) be the third derivative of 2/135*z**5 - 1/180*z**6 + 0 - 2*z**2 - 4/27*z**3 - 233*z + 1/36*z**4. What is i in c(i) = 0?
-1, 1, 4/3
Let x(j) = 8*j**2 + 185*j + 290. Let g(i) = -15*i**2 - 369*i - 579. Let p(t) = 4*g(t) + 9*x(t). Determine l, given that p(l) = 0.
-14, -7/4
Suppose -3*w + 10 = 2*s, -3*w + 13 = -3*s + 2*s. Factor 7*v**w + 12*v**5 + 8 - 8 - 16*v**4 - 3*v**3.
3*v**3*(v - 1)*(4*v + 1)
Let h(t) be the third derivative of -t**6/160 - 59*t**5/40 - 899*t**4/8 - 841*t**3 + 211*t**2. Factor h(i).
-3*(i + 2)*(i + 58)**2/4
Factor -495*j**2 - 234*j + 80*j**4 - 1161*j**2 + 981*j**2 - 29 + 619*j - 280*j**3 - 21.
5*(j - 5)*(j + 2)*(4*j - 1)**2
Let f(i) be the third derivative of -i**6/120 - i**5/12 + 5*i**4/24 + 13*i**2. Let h be f(-6). Factor -d**5 - 2*d**4 - 8*d**4 + h*d**5 - 5*d**4 + 10*d**3.
5*d**3*(d - 2)*(d - 1)
Let a(p) be the first derivative of -p**4/2 + 43*p**3/9 - 67*p**2/6 + 10*p/3 + 1254. Factor a(d).
-(d - 5)*(d - 2)*(6*d - 1)/3
Let v = -22996 + 22997. Let w(c) be the first derivative of 0*c - 1/10*c**4 + v + 4/15*c**3 + 0*c**2. Determine a so that w(a) = 0.
0, 2
Let a = -535/98 + 827/147. Solve 3*n**2 - 180 + a*n**4 + 54*n - 13/6*n**3 = 0 for n.
-5, 6
Suppose -h - 2*h = -3*y - 21, 5*y + 31 = 4*h. Suppose -4*m - 13 - 27 = -5*a, -4*a - h = 4*m. Factor -118*j**4 + 0*j + 117*j**a + 3*j**3 - 3*j**2 + j.
-j*(j - 1)**3
Factor 1/3*i**2 + 2028 + 52*i.
(i + 78)**2/3
Let m be ((-45)/225)/(108/(-45)). Let i(d) be the first derivative of 1/6*d**3 - 1/30*d**5 + 6 - 2/3*d - m*d**4 + 1/3*d**2. Determine l, given that i(l) = 0.
-2, 1
Let y(l) be the second derivative of l**4/24 + 55*l**3/12 + 189*l**2 + 3637*l. Factor y(g).
(g + 27)*(g + 28)/2
Let c(o) = -207*o**2 + 223*o**2 + 9 - o**3 + 5*o - o. Let t be c(16). Find l such that -1793 - 1123 - 972*l - 4*l**3 - t*l**2 + 11*l**2 - 46*l**2 = 0.
-9
Let n(l) be the first derivative of -l**4/20 - 98*l**3/15 - 97*l**2/10 + 1263. Solve n(m) = 0 for m.
-97, -1, 0
Suppose 0 = -m - q + 656 - 644, 0 = 3*m + 4*q - 46. Factor -3/4*j**3 + 18*j + 9/4*j**m - 60.
-3*(j - 4)**2*(j + 5)/4
Let h be (12/30)/((-12)/(-690)). Factor -49*s**2 - 13*s + 36 + 23*s**2 + s + h*s**2 + 0*s.
-3*(s - 2)*(s + 6)
Let y = -128 + 133. What is n in 6*n + 4*n + 161*n**4 - 15*n**3 + y*n**2 + 5*n**5 - 166*n**4 = 0?
-1, 0, 1, 2
Let z(r) = 6*r + 2. Suppose 14*d = 27*d. Let y be z(d). Factor 3*o**2 - 12 + 5*o**2 - 4*o**2 + y*o + 8 - 2*o**3.
-2*(o - 2)*(o - 1)*(o + 1)
Let h(b) = 2*b**2 + 45*b - 312. Let p be h(6). Suppose 15*j**2 - 2*j**3 + 18*j**2 - p*j**2 + 2*j**3 + 3*j**3 = 0. Calculate j.
-1, 0
What is i in 21504*i**2 - 1876 + 1876 + 102*i**5 - 98*i**5 - 10688*i**3 - 35*i**4 + 1347*i**4 = 0?
-336, 0, 4
Suppose -689638*q**2 - 9320*q - 5165916*q**2 - 4 + 426654*q**2 = 0. Calculate q.
-1/1165
Let c(o) = 22*o**2 + 315*o - 578. Let i(s) = -31*s**2 - 471*s + 866. Let b(j) = -10*c(j) - 7*i(j). Factor b(v).
-3*(v - 47)*(v - 2)
Let g(i) be the first derivative of i**3/4 + 21*i**2/8 + 9*i + 881. Factor g(y).
3*(y + 3)*(y + 4)/4
Let o(m) be the second derivative of m**7/280 - m**6/15 - 9*m**5/40 + 65*m**3/6 + 8*m. Let x(f) be the second derivative of o(f). Factor x(n).
3*n*(n - 9)*(n + 1)
Determine z so that 62*z**2 - 78128*z**4 + 12*z**3 + 16 - 8*z**3 + 78122*z**4 + 68*z = 0.
-2, -1, -1/3, 4
Let u(n) be the first derivative of 0*n - 89 + 3*n**2 - n**3 - 3/4*n**4. Find v, given that u(v) = 0.
-2, 0, 1
Let d(x) be the first derivative of -20/9*x**3 - 41/6*x**2 + 1/36*x**4 + 121 - 62/9*x. Factor d(z).
(z - 62)*(z + 1)**2/9
Let y(m) be the second derivative of m**5/5 - 308*m**4/3 + 47432*m**3/3 - m - 786. Solve y(n) = 0.
0, 154
Let d(p) be the first derivative of 2/9*p**3 - 13 - 10/3*p - 19/6*p**2. Suppose d(i) = 0. Calculate i.
-1/2, 10
Factor -22*y + 2/15*y**3 + 56/15*y**2 + 0.
2*y*(y - 5)*(y + 33)/15
Let a(k) = -k**3 - 10*k**2 - 3*k - 8. Let p(r) = r**3 + 9*r**2 + 3*r + 7. Let i = 108 + -101. Let s(n) = i*p(n) + 6*a(n). Let s(f) = 0. Calculate f.
-1
Let f(a) = -171*a**2 + 566*a - 16. Let g(y) = -43*y**2 + 136*y - 4. Let v(m) = 4*f(m) - 18*g(m). Solve v(i) = 0.
2/45, 2
Let q(r) = 1121*r + 50. Let s be q(-1). Let z = s - -9641/9. Suppose -4/9 + 2/9*o + z*o**2 = 0. Calculate o.
-2, 1
Let s(c) be the first derivative of c**4/16 + 8*c**3/3 + 325*c**2/8 + 507*c/2 + 2659. Determine h, given that s(h) = 0.
-13, -6
Let d(i) be the first derivative of -1/2*i**6 + 0*i**2 + 57 + 15/4*i**4 + 3/5*i**5 + 0*i + 3*i**3. Let d(q) = 0. What is q?
-1, 0, 3
Suppose 938/5 + 1/5*x**2 + 81/5*x = 0. What is x?
-67, -14
Suppose -3*x + 10 = 1. Suppose -2*r + 7 + x = 0. Factor -r*h**4 - 6*h**5 + 2*h**3 - 12*h**3 - 3*h**5 + 14*h**5.
5*h**3*(h - 2)*(h + 1)
Suppose p = 2*u - 4*u - 6, -4*p + u - 15 = 0. Let m be (p*1/(-6))/((-4)/(-6)). Factor 37*i**2 + 7 + 9*i**2 + m + 14*i**3 + 40*i.
2*(i + 1)*(i + 2)*(7*i + 2)
Let k(w) = -7*w**2 - 58*w - 182. Let a(j) = -15*j**2 - 115*j - 191 - 258 + 84. Suppose n + 0*n - 5 = 0. Let x(z