 - 5*j**5 + 2*j**w + 3*j**3 = 0.
-1, 0, 1
Let w(s) = -s**4 + s**2 + s - 1. Let b = -296 + 302. Let f(g) = 10*g**4 - 64*g**3 + 54*g**2 - 6*g + 6. Let a(o) = b*w(o) + f(o). Factor a(j).
4*j**2*(j - 15)*(j - 1)
Let p(d) be the second derivative of 100489*d**4/48 + 1268*d**3/3 + 32*d**2 - 7231*d + 2. Solve p(w) = 0.
-16/317
Let v = -10/2123 - -104077/10615. Find u such that v + 14/5*u + 1/5*u**2 = 0.
-7
Let k be ((-5)/((-5)/(-1)))/(1 - 0). Let t(p) = -172*p + 176. Let c(h) = -h**2 + 3*h. Let m(s) = k*t(s) + 2*c(s). Find u such that m(u) = 0.
1, 88
Let o(v) be the second derivative of v**7/630 + v**6/180 - v**5/15 - 49*v**4/12 - v**2/2 - 47*v. Let c(a) be the third derivative of o(a). Factor c(w).
4*(w - 1)*(w + 2)
Let q(i) be the first derivative of -4*i**3/3 + 90*i**2 - 176*i - 706. Factor q(h).
-4*(h - 44)*(h - 1)
Let v(k) be the first derivative of 4*k**5/5 - 4840*k**4 + 11712800*k**3 - 14172488000*k**2 + 8574355240000*k - 3900. Factor v(l).
4*(l - 1210)**4
Suppose -429245/2 - 5/2*p**2 - 1465*p = 0. What is p?
-293
Let f(d) = 66*d**3 - 2*d**2 - 4*d - 3. Let y be f(-1). Let s = y + 69. Find b, given that 4/5*b**4 + 0 - 2/5*b**3 + 0*b - 4/5*b**s + 2/5*b**5 = 0.
-2, -1, 0, 1
Let n(d) be the third derivative of -d**6/600 + 11*d**5/150 - 119*d**4/120 + 49*d**3/15 + 26*d**2 - 55*d. Factor n(v).
-(v - 14)*(v - 7)*(v - 1)/5
Suppose m - 50*x + 48*x + 14 = 0, -4*x = -3*m - 46. Let w be m/(-12)*(40/(-15) + 4). What is l in -1/7*l**4 - 3/7*l**3 + 0 - 1/7*l - 3/7*l**w = 0?
-1, 0
Suppose 2*o - 2*r = r - 8, -3*o + 26 = 5*r. What is p in -3*p**o - 6*p - 12*p**2 + 10*p**2 + 156*p = 0?
0, 30
Let i = -1987125 + 19887789/10. Let o = 1654 - i. Find p such that 1/10*p**5 - 1/10*p**4 + 0 + 0*p + o*p**2 - 1/10*p**3 = 0.
-1, 0, 1
Suppose -4*c - 2*l + 10 = -3*l, -5*c = -2*l - 14. Let h(j) = -21*j + 44. Let g be h(c). Determine k, given that 2/5*k - 2/5*k**g + 0 = 0.
0, 1
Suppose 5*c - g = 6*c - 4, 7*g - g = 24. Determine z so that -12/11*z - 10/11*z**2 + c - 2/11*z**3 = 0.
-3, -2, 0
Let j(i) be the second derivative of i**4/20 + 89*i**3/10 + 132*i**2/5 - 2478*i. Factor j(z).
3*(z + 1)*(z + 88)/5
Let y(j) be the third derivative of 27/4*j**3 + 0*j**5 - 9/8*j**4 + 1/40*j**6 + j**2 + 0*j - 1/420*j**7 + 11. Suppose y(p) = 0. What is p?
-3, 3
Factor 56041*w**2 - 660*w**4 + 28899*w**3 - 4691*w**3 + 90097*w**2 + 29576*w**3 + 2*w**5 - 35914*w**2.
2*w**2*(w - 166)**2*(w + 2)
Let l be 19/4560*16*0. Factor 0*m**2 + 0*m + l - 1/2*m**4 + m**3.
-m**3*(m - 2)/2
Let v(r) be the first derivative of -1/3*r**6 + 0*r - 12 + 12/5*r**5 - 9/2*r**4 + 0*r**2 + 0*r**3. Factor v(s).
-2*s**3*(s - 3)**2
Let m(x) = 3*x**3 + 7*x**2 - x - 5. Let l be m(1). Let g(b) be the third derivative of 0*b - 1/8*b**l + 1/80*b**5 + 0 + 1/2*b**3 - 2*b**2. Factor g(z).
3*(z - 2)**2/4
Solve -1508/9*p**3 + 0 - 5200/9*p - 20/9*p**4 - 13600/9*p**2 = 0 for p.
-65, -10, -2/5, 0
Let w = 12743 - 25483/2. Let -81/2*v + w*v**5 + 81 - 15*v**4 + 51*v**3 - 54*v**2 = 0. Calculate v.
-1, 2, 3
Solve 92/7*r + 2/7*r**2 + 90/7 = 0 for r.
-45, -1
Determine i, given that 8*i**4 + 0 + 400/3*i**2 - 60*i**3 + 0*i - 1/3*i**5 = 0.
0, 4, 10
Let a(h) = 7*h**5 - 13*h**4 + 4*h**3 + 13*h**2 - 6*h. Let v(u) = -3*u**5 + 6*u**4 - 2*u**3 - 6*u**2 + 3*u. Let k(n) = -2*a(n) - 5*v(n). Factor k(c).
c*(c - 3)*(c - 1)**2*(c + 1)
Let z(d) be the third derivative of 0*d**3 + 3*d**2 + 0 - 1/2*d**4 + 1/15*d**5 + 0*d. Solve z(s) = 0.
0, 3
Let h(q) = -29*q**2 - 103*q - 144. Let w(z) = -25*z**2 - 104*z - 139. Let y(f) = -6*h(f) + 7*w(f). Solve y(a) = 0.
-109, -1
Let a(k) be the third derivative of -k**5/15 + 11*k**4/6 - 56*k**3/3 - 1447*k**2. What is z in a(z) = 0?
4, 7
Solve 500*v + 1300*v**2 + 4 + 964536*v**4 - 4 - 964561*v**4 + 115*v**3 = 0 for v.
-5, -2/5, 0, 10
Let d be (16/12)/((-7)/((-7245)/6)). Factor 35*i**4 - 23*i**5 - 26*i**5 + 325*i - 27*i**5 - d*i**2 + 81*i**5 - 125 - 10*i**3.
5*(i - 1)**3*(i + 5)**2
Solve 16/9*y**4 - 8/9*y**3 - 116/9*y**2 - 2/9*y**5 + 100/9 + 10/9*y = 0 for y.
-2, -1, 1, 5
Let d(q) be the first derivative of -4/3*q**3 - 32*q + 12*q**2 - 41. Factor d(r).
-4*(r - 4)*(r - 2)
Let b be (-11)/(11/13) - 876/(-60). Find d such that -b*d**3 + 4/5*d + 4/5*d**5 + 44/5*d**4 + 44/5 - 88/5*d**2 = 0.
-11, -1, 1
Let b(f) be the second derivative of -f**4/12 - f**3/2 + 4*f**2 + 27*f. Let z be b(-4). Factor -4*t**3 + 8*t**2 + 4*t**4 + 5*t**3 - 13*t**3 + 0*t**z.
4*t**2*(t - 2)*(t - 1)
Let v(m) be the second derivative of 39*m + 1 - 18*m**2 + 1/4*m**4 - 2*m**3. Factor v(z).
3*(z - 6)*(z + 2)
Find a such that -10 + 12*a + 1/2*a**2 - 3*a**3 + 1/2*a**4 = 0.
-2, 1, 2, 5
Solve 644/3*y**2 - 19/3*y**3 - 62 - 1699/3*y = 0.
-2/19, 3, 31
Let y be -21 + 26 + (2 - 1209) - 1. Let w = y + 1205. Factor -20/3 + 1/3*c**3 - 1/3*c**w - 16/3*c.
(c - 5)*(c + 2)**2/3
Let s(l) be the first derivative of l**4/4 - 8*l**3/3 + 8*l**2 - 8775. What is q in s(q) = 0?
0, 4
Let d be ((-19 + 20)*(-1 + (87 - 2)))/(7 - 2). Factor 8*h + 2/5*h**4 + d*h**2 - 30 + 24/5*h**3.
2*(h - 1)*(h + 3)*(h + 5)**2/5
Let x(z) = -82*z**2 + 807*z + 804. Let h(o) = 16*o**2 + o + 2. Let t(j) = -10*h(j) - 2*x(j). Find c, given that t(c) = 0.
-1, 407
Suppose -3*r = 2*a, -5*r = 7 + 3. Factor 6 + 15*q - q**a - 2*q**2 + 7*q**2 + 4*q**3 + 7*q**2.
3*(q + 1)**2*(q + 2)
Let b(c) be the first derivative of 3*c**4/28 + 152*c**3/7 + 17775*c**2/14 + 33750*c/7 - 1038. Factor b(i).
3*(i + 2)*(i + 75)**2/7
Factor 65 - 230*d**2 + 323/2*d + 7/2*d**3.
(d - 65)*(d - 1)*(7*d + 2)/2
Let h be ((-74)/19 - -4) + (-192)/(-342). Let p(a) be the third derivative of h*a**3 - 16*a**2 - 11/30*a**5 + 0*a + 0 + 5/12*a**4 + 1/15*a**6. Factor p(z).
2*(z - 2)*(z - 1)*(4*z + 1)
Let g = -375 - -383. Let a be g/2 + -7 - (-48)/8. What is l in -4/15*l**2 - 2/15*l**a - 8/15 + 14/15*l = 0?
-4, 1
Let o(d) be the second derivative of -d**6/45 - 53*d**5/15 + d**4/18 + 106*d**3/9 - 521*d + 2. Let o(c) = 0. What is c?
-106, -1, 0, 1
Let k = 187 - 117. Determine p, given that 312*p**2 + 5*p**4 - 145*p**2 + k - 55*p**3 - 2*p**2 - 185*p = 0.
1, 2, 7
Let s(g) be the third derivative of g**6/24 - g**5/6 - 215*g**4/24 + 350*g**3/3 + 6*g**2 - 35. Suppose s(a) = 0. What is a?
-7, 4, 5
Let y = -118 - -121. Let f(p) be the first derivative of 2/27*p**y + 2*p + 2/3*p**2 - 1. Let f(g) = 0. Calculate g.
-3
Let p(w) be the second derivative of -1/120*w**6 + 9*w + w**2 + 0 - 1/8*w**4 + 1/15*w**5 + 0*w**3. Let o(r) be the first derivative of p(r). Factor o(m).
-m*(m - 3)*(m - 1)
Solve 26*l**3 - 1009*l**2 + 39*l**3 - 68*l**3 - 65*l**2 + 181*l - 1252*l = 0.
-357, -1, 0
Let v = -162 - -167. What is i in -3*i**3 + 4*i**5 - i**5 - 9*i**4 - 6*i**v + 3*i + 9*i**2 + 3*i = 0?
-2, -1, 0, 1
Let u(p) be the first derivative of 18 + 0*p**2 + 3*p + 0*p**3 + 1/10*p**5 + 1/3*p**4. Let f(y) be the first derivative of u(y). Factor f(z).
2*z**2*(z + 2)
Let d be (32192/(-112))/((-4)/14). What is f in -20 - 5*f**3 + 15*f**2 - 3*f**3 + d*f - 1002*f + f**4 = 0?
-1, 2, 5
Let m(r) be the second derivative of -r**7/21 - 134*r**6/15 - 5799*r**5/10 - 36179*r**4/3 + 370300*r**3/3 - 292008*r**2 + 14885*r. What is u in m(u) = 0?
-46, 1, 3
Let z(c) be the first derivative of -11*c**3/3 + 20*c**2 - 18*c + 77. Let k(h) = 3*h**2 - 10*h + 4. Let u(b) = -9*k(b) - 2*z(b). Solve u(a) = 0 for a.
0, 2
Factor 192 + 372*n + 380 - 203 + 15062*n**2 - 15059*n**2.
3*(n + 1)*(n + 123)
Let x be (-210)/(-49) + (-60)/14 + 4. Let m**2 - 3*m - 3*m - 5*m + x*m + 3*m = 0. Calculate m.
0, 4
Let d(w) = 15*w**3 - 65*w**2 + 55*w + 15. Suppose -2 + 22 = 4*k. Let p(o) = -7*o**3 + 32*o**2 - 27*o - 6. Let t(n) = k*p(n) + 2*d(n). Factor t(j).
-5*j*(j - 5)*(j - 1)
Let x(v) be the second derivative of -v**6/135 + v**5/6 - 34*v**4/27 + 32*v**3/9 + 5414*v. Factor x(u).
-2*u*(u - 8)*(u - 4)*(u - 3)/9
Suppose -15*u = -16*u + 4. Determine i, given that -712*i + 712*i + 4*i**u + 2*i**5 + 2*i**3 = 0.
-1, 0
Suppose -258*s + 861 = 87. Factor -4*b + 0 + 1/2*b**s + 7/2*b**2.
b*(b - 1)*(b + 8)/2
Factor -14/15*i**4 - 32/15 - 88/15*i**3 - 32/3*i - 64/5*i**2.
-2*(i + 2)**3*(7*i + 2)/15
Let h(i) = -2*i**2 + 14*i + 11. Let u be h(5). Let a = u + -29. Factor b - 7*b + 2*b + 4*b**a - 20 - 12*b.
4*(b - 5)*(b + 1)
Let w(t) be the second derivative of -t**7/420 + 7*t**6/180 - t**5/10 - 7*t**3 - 28*t. Let j(x) be the second derivative of w(x). Factor