Factor 5*o**4 + 2*o**5 + 2*o**5 + t*o**5 - 12*o**5.
-5*o**4*(o - 1)
Let a(w) be the second derivative of -2*w**7/483 - 7*w**6/345 + 43*w**5/230 - 43*w**4/138 - 5*w**3/69 + 14*w**2/23 + 2309*w. Solve a(j) = 0.
-7, -1/2, 1, 2
Let c(z) = -3*z**3 - 1437*z**2 - 5462*z - 4054. Let u(t) = -2*t**3 - 1078*t**2 - 4096*t - 3040. Let r(d) = -10*c(d) + 13*u(d). Suppose r(s) = 0. Calculate s.
-85, -3, -1
Let p(n) be the second derivative of -11/70*n**5 + 0 - 4/35*n**6 + 8/7*n**2 + 23/21*n**4 + 51*n + 5/147*n**7 - 12/7*n**3. Determine w so that p(w) = 0.
-2, 2/5, 1, 2
Let -2/3*n**4 + 176/3*n**3 + 344/3 - 114*n**2 - 176/3*n = 0. Calculate n.
-1, 1, 2, 86
Suppose 16*t - 14*t = 38. Suppose 2*w - 13 = -w - 2*r, 0 = -4*w - r + t. Factor 5*o**2 - w*o - 14 - 13 + 27.
5*o*(o - 1)
Find o such that 185/4 - 1/4*o**2 + 46*o = 0.
-1, 185
Let n be ((-11)/(121/(-11)))/((-546)/(-84)). Suppose 4/13*z + 0 + n*z**2 = 0. What is z?
-2, 0
Let z(c) be the second derivative of -c**5/40 - 91*c**4/24 + 40*c**3 + 535*c. Factor z(x).
-x*(x - 5)*(x + 96)/2
Suppose -107*x + 5660 - 86 = 224. Suppose -x*n**3 + 2200*n + 390*n**2 + 2420 + 5/4*n**4 = 0. What is n?
-2, 22
Let m(d) be the third derivative of d**8/896 - 17*d**6/160 - 23*d**5/40 - 87*d**4/64 - 7*d**3/4 - 2*d**2 + 131*d - 2. Factor m(p).
3*(p - 7)*(p + 1)**3*(p + 4)/8
Let t = 3644 + -29151/8. Let y(w) be the third derivative of 1/20*w**5 - 8*w**2 - 1/70*w**7 + 0*w**3 + 0 - 1/40*w**6 + t*w**4 + 0*w. Let y(p) = 0. Calculate p.
-1, 0, 1
Let i(m) be the second derivative of m**4/48 - 307*m**3/12 + 94249*m**2/8 - 5*m + 154. Suppose i(y) = 0. What is y?
307
Solve -99*g + 10643*g**3 + 92*g**4 - 848*g**2 - 605*g - 10691*g**3 - 8*g**5 + 4*g**5 = 0 for g.
-2, -1, 0, 4, 22
Suppose -10*t + 7 = -13. Let m = 60 + -54. Factor -1125 + 8*c**t - 7*c**2 + 150*c - m*c**2.
-5*(c - 15)**2
Let j(l) be the second derivative of -89*l + 0*l**3 + 5/4*l**4 - 10*l**2 + 1/4*l**5 + 0. Determine r so that j(r) = 0.
-2, 1
Determine q, given that -8*q + 31*q - 10 + 70 + 0*q**2 + q**2 = 0.
-20, -3
Let q(l) = -6*l**2 - 203*l - 714. Let g be q(-4). Factor -3/8*t**g - 9/4 + 21/8*t.
-3*(t - 6)*(t - 1)/8
Let g(q) be the second derivative of q**7/399 - 6*q**6/95 + 48*q**5/95 - 55*q**4/57 - 75*q**3/19 - 189*q. Let g(y) = 0. Calculate y.
-1, 0, 5, 9
Let y(k) be the third derivative of -1/40*k**5 + 1/8*k**4 - 7*k**2 + 5 + 0*k - 1/4*k**3. Factor y(l).
-3*(l - 1)**2/2
Let i(d) be the first derivative of -2*d**3/33 + 498*d**2/11 + 998*d/11 - 1222. Find u, given that i(u) = 0.
-1, 499
Let t(i) = i**2 - 3*i - 14. Let q be t(6). Suppose -3*g = 4*b - 39, b + b + q*g = 32. Factor 0*u + 30*u**2 + b*u + 6*u**4 - 4*u**3 - 18*u**3 - 20*u**2.
2*u*(u - 3)*(u - 1)*(3*u + 1)
Let z be -1936 + ((-132)/110)/(6/15). Let i = z - -1942. Factor 3/2*c + 3/2*c**2 - 3/2*c**i - 3/2.
-3*(c - 1)**2*(c + 1)/2
Let c = -305 - -308. Suppose 2*t + 0*t**5 - 3*t**4 - 5*t**c - 65*t**2 + 70*t**2 + t - 2 + 0*t + 2*t**5 = 0. What is t?
-1, 1/2, 1, 2
Let i(s) be the second derivative of -5*s**7/21 + 18*s**6/5 - 17*s**5/5 - 32*s**4/3 + 13*s**3 + 10*s**2 + 13855*s. Solve i(u) = 0.
-1, -1/5, 1, 10
Let f = 1/7409 + 7404/37045. Let i be (-3)/(-5)*((-16)/12)/(-1). Solve 2/5*b + 7/5*b**2 - f + i*b**3 = 0 for b.
-1, 1/4
Let d = 83 - -9. Find i such that 12*i**2 + 14*i - 94*i**3 - 6*i + 16*i**2 + d*i**3 - 7*i**4 = 0.
-2, -2/7, 0, 2
Let s(n) be the first derivative of n**6/270 - 69*n + 69. Let c(y) be the first derivative of s(y). Factor c(t).
t**4/9
Let f(j) = -37*j**4 + j**3 + 57*j**2 - 120*j + 85. Let v(u) = -21*u**4 + u**3 + 28*u**2 - 60*u + 44. Let k(c) = -4*f(c) + 7*v(c). Solve k(t) = 0.
-8, 1, 2
Let a be (-6 - 0) + 7*(-20)/(-21). Let i(d) be the first derivative of 15 - 3*d**2 + a*d**3 + 0*d. Factor i(s).
2*s*(s - 3)
Let v(p) be the third derivative of -p**7/210 + 3*p**6/40 - 23*p**5/60 + 5*p**4/8 + 1891*p**2. Factor v(w).
-w*(w - 5)*(w - 3)*(w - 1)
Let l(j) be the second derivative of 5*j**7/42 - 5*j**6/3 - 87*j**5/4 - 185*j**4/3 + 130*j**3/3 + 480*j**2 - 556*j + 2. What is u in l(u) = 0?
-3, -2, 1, 16
Let i(v) be the second derivative of -1/200*v**5 - 1/12*v**3 + 3*v - 4 - 1/10*v**2 - 1/30*v**4. What is n in i(n) = 0?
-2, -1
Suppose -13*k + 10*k = 2*l + 122, 0 = 2*k - l + 93. Let v be 9/5*k/(-66). Suppose 4/5*d**2 - 4/5*d**4 + 2/5*d**5 + v*d - 8/5*d**3 + 0 = 0. What is d?
-1, 0, 1, 3
Let b(i) be the first derivative of -5/3*i**4 - 16*i**2 - 28/3*i**3 + 11*i + 22. Let h(y) be the first derivative of b(y). Factor h(r).
-4*(r + 2)*(5*r + 4)
Find z, given that -27*z**2 + 38148 + 768*z + 456*z - 11*z**2 + 3*z**3 - 129*z**2 - 4*z**2 = 0.
-11, 34
Let q = 403/2277 + 1/207. Let d(m) = -9*m + 119. Let t be d(13). Factor 2/11*f**3 - q*f + 2/11*f**t - 2/11.
2*(f - 1)*(f + 1)**2/11
Suppose -46*o = -23*o - 63181. Suppose -65*b - 96 - o*b**2 + 2752*b**2 + 26 = 0. What is b?
-1, 14
Let v(d) be the second derivative of d**6/70 - 3*d**5/35 - 4*d**4/7 + 8*d**3/7 + 72*d**2/7 + 40*d + 19. Factor v(y).
3*(y - 6)*(y - 2)*(y + 2)**2/7
Find g such that -2*g**5 + g**5 - 326*g**2 + 133*g**4 - 4*g**3 + 336*g**2 - 139*g**4 + g**3 = 0.
-5, -2, 0, 1
Let l(v) = 2*v**2 + 49*v - 3. Let u(j) be the first derivative of j**3/3 + j**2 - j - 48. Let x(c) = -l(c) + 3*u(c). Determine q so that x(q) = 0.
0, 43
Suppose 5*m + 2*y + 0*y - 68 = 0, 4 = 2*m - 5*y. Solve 4*r**2 - m*r**2 - 360*r + 12*r**2 + 8100 = 0 for r.
45
Factor -3/2*n**2 + 51*n + 105/2.
-3*(n - 35)*(n + 1)/2
Let b(l) be the third derivative of -153*l**2 + 0*l + 1/100*l**5 + 0*l**3 + 0 - 3/40*l**4. Factor b(w).
3*w*(w - 3)/5
Let w be ((-762)/(-1778))/((-18)/(-84)). Find b such that -2/7*b**3 + 0 + 2/7*b**w + 2/7*b - 2/7*b**4 = 0.
-1, 0, 1
Let u = 127/3 + -42. Suppose 2*b - 14 = 300*t - 295*t, 2*t = 5*b - 35. What is i in t + u*i**2 - 5/3*i = 0?
0, 5
Let u(p) be the third derivative of -p**8/84 + 8*p**7/7 - 59*p**6/30 + 170*p**2 + 3. Solve u(y) = 0.
0, 1, 59
Let q be -1 - ((-6)/2 + 0). Let u = -179 - -211. Factor -u*o - 36*o - 10*o**q + 2*o**4 - 2*o**3 + 62*o.
2*o*(o - 3)*(o + 1)**2
Factor -1/5*g**3 + 0 + 6*g - 13/5*g**2.
-g*(g - 2)*(g + 15)/5
Suppose -j + 44 = 3*p, -4*j + p = -2*p - 191. Let x be (8/70)/(j/329). Factor x*a**3 + 0*a + 8/5*a**2 + 0.
4*a**2*(a + 2)/5
Let d(i) be the third derivative of i**6/24 + 31*i**5/2 - 625*i**4/8 + 470*i**3/3 + 11*i**2 - 31. Factor d(u).
5*(u - 1)**2*(u + 188)
Let x(f) = f**3 - 13*f**2 + 13*f - 9. Let j be x(12). Let z be (-36)/(-90) + ((-106)/(-10) - 1). Factor 2*d**2 + 4*d**2 + 4*d**j - 2*d**2 + 2*d - z*d.
4*d*(d - 1)*(d + 2)
Suppose -6*k = 3*n - 2133, -4*n + 192 = k - 167. Let t = -355 + k. Solve 3/8*i**4 + 1/8*i**2 + t + 0*i - 3/8*i**3 - 1/8*i**5 = 0 for i.
0, 1
Let w(t) = -2*t**4 + 6*t**3 + 9*t**2 - 5*t + 6. Let z(r) = 7*r**4 - 18*r**3 - 27*r**2 + 18*r - 20. Let h(o) = 10*w(o) + 3*z(o). Factor h(v).
v*(v + 1)**2*(v + 4)
Suppose -2*v - 12 = -5*a, 0 = a + 2*v - 21 + 9. Let n be 23/a + 18/(-24). Determine x, given that 6/5*x**4 + 0*x + 0 + 0*x**3 - 8/5*x**2 + 2/5*x**n = 0.
-2, 0, 1
Let z(m) = 8*m**2 + 9*m - 4. Let y(a) be the first derivative of -2*a**3/3 - a**2/2 + 2*a + 99. Let q(b) = 5*y(b) + z(b). Let q(c) = 0. What is c?
-1, 3
Let l(f) = -34*f**2 - 235*f - 117. Let k(r) = 35*r**2 + 235*r + 130. Let c(v) = -6*k(v) - 5*l(v). Let c(s) = 0. What is s?
-39/8, -1
Let g(b) be the third derivative of 121*b**7/140 + 9691*b**6/20 + 777921*b**5/10 + 70480*b**4 + 25600*b**3 - 5*b**2 - 55*b - 1. Factor g(r).
3*(r + 160)**2*(11*r + 2)**2/2
Let l(g) be the second derivative of -5*g - 9/35*g**5 + 0*g**3 + 0*g**2 + 5/7*g**4 - 14 + 1/70*g**6. Find a such that l(a) = 0.
0, 2, 10
Let s = 75397/25 - 3017. Let u = s + 81/50. Let -1/4*l**2 + 3/4 + u*l = 0. Calculate l.
-1, 3
Let z = -2/4641 - -13943/46410. Let i(f) be the first derivative of 3/4*f**2 + 0*f + 3/2*f**3 + 9/8*f**4 - 41 + z*f**5. Let i(x) = 0. What is x?
-1, 0
Let o(f) = f + 10. Let d be o(-7). Let g = -239 - -242. Find r such that -3*r**g - r**4 - r**5 + 3*r**d + 0*r**3 = 0.
-1, 0
Let u(s) be the third derivative of s**5/360 - 7*s**4/48 - 49*s**3/9 + 9898*s**2. Factor u(l).
(l - 28)*(l + 7)/6
Let b be (4/(-3))/((-1)/3). Let g be 6*1 + 25*(-6)/45. Find l such that 4*l - 16/3*l**3 - g*l**2 + 0*l**b + 8/3 + 4/3*l**5 = 0.
-1, 1, 2
Let o(c) be the third derivative of c**5/75 - 139*c**4/24 - 29*c**3/5 - 1754*c