ve of -1/8*t**4 + 0 - 1/10*t**u + 0*t - 2*t**2 + 1/40*t**6 + t**3. Factor h(p).
3*(p - 2)*(p - 1)*(p + 1)
Suppose -38502 = -10*t - 15892. Factor -24*l + 4*l**2 - 2261 + 16*l**3 + 4*l**4 + t.
4*l*(l - 1)*(l + 2)*(l + 3)
Let h(t) be the third derivative of -t**7/14 + 5*t**6/12 - 25*t**4/12 + 5*t**3/2 + t**2 - 736. Solve h(n) = 0 for n.
-1, 1/3, 1, 3
Solve 1/6*s**5 - 6*s**3 + 3 + 2/3*s**4 + 37/3*s**2 - 61/6*s = 0.
-9, 1, 2
Suppose 0 = -5*w - 13 + 53. Determine i so that -w*i + 1483 - 20*i**3 - 1483 - 28*i**2 = 0.
-1, -2/5, 0
Let l(q) be the third derivative of q**7/210 - 7*q**6/120 - 17*q**5/30 + 7*q**4/6 + 20*q**3 - 148*q**2 + 13. What is f in l(f) = 0?
-3, -2, 2, 10
Suppose -4*w = 5*s - 15, w = s + 1 - 4. Suppose 2*l + 380*o - 16 = 382*o, -l - 28 = 5*o. Factor -11/3*h**s - 27*h + 1/3*h**4 + 18 + 15*h**l.
(h - 3)**3*(h - 2)/3
Find h, given that -8/5*h**2 + 6 + 2/5*h**4 + 1/5*h**5 + 41/5*h - 18/5*h**3 = 0.
-5, -1, 2, 3
Let z = 185 - 181. Factor z*d**4 + 46*d - 50*d + 7*d**3 + 16 - 5*d**4 - 12*d**2.
-(d - 4)*(d - 2)**2*(d + 1)
Let t(k) = 110*k**2 - 394325*k + 353633210. Let z(a) = -5*a**2 + 17924*a - 16074237. Let j(g) = 2*t(g) + 45*z(g). Find u such that j(u) = 0.
1793
Let q(j) be the third derivative of j**5/45 + 23*j**4/9 - j**2 - 86. Factor q(a).
4*a*(a + 46)/3
Let t be ((-72)/2 + 2)/(6/(-9)). Let 94*r**2 + t*r**2 + 236*r**4 - 16*r**5 + 31*r**2 - 24*r - 386*r**3 - 26*r**5 = 0. Calculate r.
0, 2/7, 1/3, 2, 3
Suppose 2/15*l**3 + 158/15*l**2 + 896/5*l - 1176 = 0. What is l?
-42, 5
Let d(j) be the second derivative of j**5/40 - 223*j**4/24 - j**3/12 + 223*j**2/4 + j + 464. Factor d(t).
(t - 223)*(t - 1)*(t + 1)/2
Solve -2/7*n**2 + 1048/7 + 520/7*n = 0 for n.
-2, 262
Let r(d) = 7*d + 16. Let j be r(-2). Factor -1 + j*x**2 + 769*x**3 + 1 - 770*x**3 - x.
-x*(x - 1)**2
Let u be (-8)/(-6) - (-437858)/(-328539). Let l = 6760/23709 + u. Let l - 2/7*c**3 - 6/7*c + 6/7*c**2 = 0. Calculate c.
1
Let a(o) be the second derivative of o**4/114 - o**3/19 - 10*o**2/19 - 4*o - 1274. Suppose a(s) = 0. Calculate s.
-2, 5
Let o(u) be the third derivative of 0*u - 36*u**2 - 13/36*u**3 + 3/16*u**4 + 0 + 1/720*u**6 - 1/24*u**5. Solve o(s) = 0.
1, 13
Let m(h) be the third derivative of h**8/1008 + 4*h**7/315 - 5*h**6/72 - 11*h**5/45 + 5*h**4/6 + 1312*h**2. Determine g, given that m(g) = 0.
-10, -2, 0, 1, 3
Factor 0 - 2/3*h**3 - 56/3*h - 58/3*h**2.
-2*h*(h + 1)*(h + 28)/3
Let m = -13330/1393 + 2416/199. Factor 32/7*c**2 + 8/7*c**3 + m + 6*c.
2*(c + 1)*(2*c + 3)**2/7
Suppose -2*g - 20 + 0 = 0. Let h be 17/3 - g/(-15). Find k such that 51*k - 55*k**2 - 33*k**5 - 10*k**5 + 90*k**3 - 41*k + 3*k**h - 20*k**4 = 0.
-2, 0, 1/2
Let p(y) be the third derivative of y**7/60 + 3*y**6/80 - 7*y**5/40 - 13*y**4/48 + 3*y**3/2 + 1506*y**2 - 2. Factor p(j).
(j - 1)**2*(j + 2)*(7*j + 9)/2
Let m(p) = -16*p**3 - 50*p**2 - 160*p - 149. Suppose -51*k = -56*k + 30. Let i(d) = -3*d**3 - 10*d**2 - 32*d - 30. Let j(q) = k*m(q) - 33*i(q). Factor j(a).
3*(a + 2)*(a + 4)**2
Let n be (-198)/405*-45 - 119/8. What is u in 27/4 + n*u + 3/8*u**2 = 0?
-18, -1
Let i(m) be the first derivative of -2*m**3/9 + 25*m**2/3 - 92*m/3 + 2524. Factor i(p).
-2*(p - 23)*(p - 2)/3
Let x(q) be the first derivative of 1/4*q**4 + 14*q - 7 + 0*q**2 - q**3. Let b(u) be the first derivative of x(u). Factor b(g).
3*g*(g - 2)
Suppose -32*r + 165 - 5 = 0. Let z(f) = f**2 + 2*f - 32. Let l be z(r). Factor 0*n**4 - n + 2/3*n**2 - 2/3 + 4/3*n**l - 1/3*n**5.
-(n - 2)*(n - 1)*(n + 1)**3/3
Let m(g) be the first derivative of 2*g**3/39 + 171*g**2/13 + 314. Suppose m(t) = 0. Calculate t.
-171, 0
Let i(b) be the second derivative of 5*b**4/12 + 3190*b**3/3 + 1017610*b**2 - 135*b + 2. Find h, given that i(h) = 0.
-638
Suppose 3*m + 15 + 12 = 3*i, i - 19 = 2*m. Let x be (1/(-9))/(m/(120/2)). Factor 2/3*q**2 - 1/3 + x*q**3 - 1/3*q**5 - 1/3*q - 1/3*q**4.
-(q - 1)**2*(q + 1)**3/3
Let n(j) be the first derivative of -7*j**4/4 - 4*j**3/3 + 10*j**2 + 2*j - 88. Let u(d) = -4*d**3 - 2*d**2 + 11*d. Let l(q) = -3*n(q) + 5*u(q). Factor l(a).
(a - 2)*(a + 1)*(a + 3)
Let y(v) = 7*v**3 - 10*v**2 - 4*v - 2. Let s(d) = 9*d**3 - 10*d**2 - 3*d - 2. Let t(h) = 4*h + 86. Let b be t(-23). Let c(r) = b*y(r) + 5*s(r). Factor c(o).
(o + 1)*(o + 2)*(3*o + 1)
Let n(z) be the first derivative of -z**5/55 - 9*z**4/11 - 186. Solve n(b) = 0.
-36, 0
Let q(m) = 6*m - 22. Let k be q(4). Factor 41 + 2*s**2 + 2*s**k - 121 + s**2.
5*(s - 4)*(s + 4)
Suppose 4*h + 3*x - 22 = 0, 4*h + 10 - 24 = x. Let p be h/12 + 29/3. Factor -p*k**2 - 3*k**3 + 6*k**2 - 7*k**3 + 6*k**3.
-4*k**2*(k + 1)
Solve -279/2*a**4 - 1/4 + 93/8*a - 115*a**3 - 57/4*a**2 - 405/8*a**5 = 0 for a.
-1, 1/45, 2/9
Let 3/2*a**3 + 393/2*a + 705 - 75*a**2 = 0. Calculate a.
-2, 5, 47
Let p(q) = 5*q**2 - 22*q. Let l(t) be the first derivative of t**3/3 - 2*t**2 + 29. Let a(b) = -11*l(b) + 2*p(b). Factor a(m).
-m**2
Find r such that 5/8*r**2 - 16*r - 13/2 = 0.
-2/5, 26
Let b(n) = n**3 + 20*n**2 + 29*n + 79. Let c be b(-20). Let t = c - -1508/3. Let -t*h**2 + 1/9*h**3 + 25/3*h - 125/9 = 0. Calculate h.
5
Let g be 10/(-3) + 10/30 - 21/(-4). Find a such that -6*a + g + 4*a**2 = 0.
3/4
Let d be (-12)/16 - (-801*2/(-360) - 8). Suppose 2/5*r**3 + 12/5*r + 0 - d*r**2 = 0. Calculate r.
0, 1, 6
Let u(b) = b**4 - 2*b**3 - b**2 - b - 2. Let x(a) = 10*a**4 + 890*a**3 - 42335*a**2 - 15*a - 30. Let y(p) = -15*u(p) + x(p). Determine j so that y(j) = 0.
0, 92
Suppose 20/9 + 14/9*z**3 - 86/9*z + 52/9*z**2 = 0. Calculate z.
-5, 2/7, 1
Let s(j) be the third derivative of -j**7/1050 + 13*j**6/200 - 118*j**5/75 + 64*j**4/5 + 1024*j**3/15 - 218*j**2. Factor s(a).
-(a - 16)**2*(a - 8)*(a + 1)/5
Let g(n) = -22446*n**2 - n**4 + 22446*n**2 + n**5 + n. Let r(w) = 4*w**5 - 2*w**4 - w**3 - w**2 + 3*w. Let t(f) = 3*g(f) - r(f). Suppose t(u) = 0. What is u?
-1, 0, 1
Let z = -204 + 244. Let q(u) be the second derivative of 0 + z*u - 4/7*u**3 + 9/14*u**2 + 0*u**5 - 1/70*u**6 + 3/14*u**4. Factor q(s).
-3*(s - 1)**3*(s + 3)/7
Let z be (-980)/(-3528)*1/((-25)/(-20)). Factor z*i**3 + 2/3*i**2 + 0*i + 0.
2*i**2*(i + 3)/9
Let a(m) = 5*m**2 + 2*m + 1. Let u be a(-1). Let c = -245708/165 + 81976/55. Find i, given that 0*i - c*i**3 + 2/3*i**2 + 2/3*i**u + 0 = 0.
0, 1
Determine g so that -3*g**4 - 207977 + 30*g**3 - 15*g**2 - 57*g**2 + 207956 + 66*g = 0.
1, 7
Let k(u) be the third derivative of 0*u**3 + 0*u + 1/2310*u**7 + 5 - 1/66*u**4 - 2*u**2 + 3/220*u**5 - 1/220*u**6. Determine v so that k(v) = 0.
0, 1, 4
Let -1/3*j**4 + 7*j**3 - 96 - 128*j - 74/3*j**2 = 0. What is j?
-2, -1, 12
Let d(o) be the second derivative of -3*o**5/20 + 39*o**4/4 + 81*o**3/2 + 123*o**2/2 - 4*o + 36. Factor d(x).
-3*(x - 41)*(x + 1)**2
Solve -5*k**5 + 125*k**4 - 7560*k - 47*k**3 - 440*k**3 - 242 + 5102 - 628*k**3 + 4335*k**2 = 0.
2, 3, 9
Let u(h) = 7*h + 3*h**3 - 4*h + 32 - 20 - 4*h**3. Let d be u(0). Solve 15 - 2*n**2 + d*n + 7*n**2 + 8*n + 5 = 0 for n.
-2
Let y(g) be the first derivative of -9/2*g**2 - 5/18*g**3 - 6 + 1/18*g**4 + 0*g + 1/180*g**5. Let p(m) be the second derivative of y(m). Factor p(f).
(f - 1)*(f + 5)/3
Factor 12/5 - 57/5*h**2 - 68*h.
-(h + 6)*(57*h - 2)/5
Let j(c) be the second derivative of -c**7/84 + 2*c**6/5 + 69*c**5/20 + 25*c**4/3 + 29*c**3/4 + 5535*c. Solve j(k) = 0 for k.
-3, -1, 0, 29
Let x be -4*33346/(-80) - (-36)/(-120). Let s = -1665 + x. Suppose 1/4*g**s + 1/2*g - 2 = 0. Calculate g.
-4, 2
Let b = 65040 - 65037. Determine u so that -5488/17 + 2/17*u**b - 84/17*u**2 + 1176/17*u = 0.
14
Determine m, given that 178*m + 34*m**2 + 118 + 71 - 7*m**2 + 51 - 4*m = 0.
-40/9, -2
Suppose -4*y = -2*v + 20, -v - 11 + 1 = 3*y. Suppose -13*z**v + 23*z**2 + 3*z**3 - 4*z**3 + 3*z**3 = 0. What is z?
-5, 0
Factor 282 + 435 - 235288*b**2 + 282286*b**2 - 55419*b**3 + 555 - 13380*b + 1029*b**4.
3*(b - 53)*(7*b - 2)**3
Let l(h) be the third derivative of -h**6/480 + h**5/30 - 19*h**4/96 + h**3/2 + 1382*h**2. Factor l(o).
-(o - 4)*(o - 3)*(o - 1)/4
Suppose 1 = -6*q + 7*q - g, -4*q = 4*g - 12. Let t be q/(16/18) + (-12)/(-16). Solve -10/3*z**2 + 25/3*z - 40/3*z**t - 5/3 = 0 for z.
-1, 1/4, 1/2
Factor -8/3*p**2 + 4/9*p**3 + 32/9*p + 0.
4*p*(p - 4)*(p - 2)/9
Let j be ((-36)/30*67/(-268))/3. Factor k**2 + j*k**3 + 0 + 5/2*k.
k*(k + 5)**2/10
Determine j so that 233928/5 + 2/5*j