*2.
2*(i - 1)*(i + 1)**4/3
Let l(u) be the second derivative of -u**7/2520 + u**6/120 - u**5/24 - 7*u**4/12 - 59*u. Let m(v) be the third derivative of l(v). Factor m(j).
-(j - 5)*(j - 1)
Let v = -884 + 2977/4. Let t = v - -2819/20. Factor 3/5*p**3 + t - 6/5*p**2 - 3/5*p.
3*(p - 2)*(p - 1)*(p + 1)/5
Factor 5*a**2 + 21334630 - 30000*a + 19992496 + 333781 + 6198108 - 2859015.
5*(a - 3000)**2
Let n(a) be the second derivative of a**5/10 - 233*a**4/3 + 54752*a**3/3 - 107648*a**2 - 19*a - 244. Factor n(w).
2*(w - 232)**2*(w - 2)
Let i be ((-36)/168)/((-11544)/8288). Factor -42/13*n - i*n**2 + 44/13.
-2*(n - 1)*(n + 22)/13
Factor 7*g**2 - 324/5 - 288/5*g - 1/5*g**3.
-(g - 18)**2*(g + 1)/5
Let c(q) be the first derivative of 289*q**6/2 - 3264*q**5/5 - 1671*q**4/4 + 1072*q**3 + 402*q**2 + 48*q + 363. Suppose c(x) = 0. Calculate x.
-1, -2/17, 1, 4
Let z(v) be the third derivative of v**6/30 - 24*v**5/5 - 79*v**4/6 + 292*v**3 - 66*v**2 - 19*v. Find c such that z(c) = 0.
-3, 2, 73
Suppose 5*y = -a + 1, -5*y - 3 = 2*a - 5*a. Let i be (1/12)/(0 - a/(-15)). Let 41/4*d**3 - 5/2*d + 0 - 3/4*d**2 + i*d**5 - 33/4*d**4 = 0. Calculate d.
-2/5, 0, 1, 5
Let v(l) be the first derivative of -l**4/10 + 46*l**3/15 + 78*l**2/5 + 1166. Determine k, given that v(k) = 0.
-3, 0, 26
Suppose 6*j + 565 = 589. Let v(s) be the third derivative of 1/6*s**3 - 17*s**2 + 0*s**j + 0*s + 0 - 1/60*s**5. What is m in v(m) = 0?
-1, 1
Let p be ((-5508)/(-24))/9 - (-1)/(-4)*6. Let z(f) be the second derivative of 0 + p*f - 1/6*f**3 + 0*f**2 - 1/12*f**4. Factor z(d).
-d*(d + 1)
Let x(d) be the first derivative of -2/5*d**5 + 1/2*d**2 + 3/4*d**4 - 128 - 3*d + 3*d**3. Find n such that x(n) = 0.
-1, 1/2, 3
Let q be (1/2)/(2/12). Suppose -3*w = d - 96 + 17, q*w = 3. Solve -36 + d - 37 - 3*b**2 = 0 for b.
-1, 1
Let i(t) = t**2 - 10*t. Let w(a) = -a**2 + 9*a. Let o = -15 + -10. Let m = 19 + o. Let h(p) = m*w(p) - 5*i(p). Factor h(b).
b*(b - 4)
Let n = -22 - -1. Let o(x) = 8*x**2 + 108*x + 977. Let u(k) = 33*k**2 + 432*k + 3909. Let r(a) = n*o(a) + 5*u(a). Factor r(s).
-3*(s + 18)**2
Let m(a) be the second derivative of a**5/4 + 35*a**4/6 + 140*a**3/3 + 160*a**2 - 11*a + 133. Factor m(d).
5*(d + 2)*(d + 4)*(d + 8)
Let y(s) = -s**2 + 24*s - 20. Let h be y(23). Factor -23*m + 7*m + 32 + 5*m**h - 9*m**3 + 8*m**3 - 8*m**2.
4*(m - 2)**2*(m + 2)
Let v(k) be the first derivative of 0*k**2 + 60 + 1/6*k**3 - 2*k. Factor v(l).
(l - 2)*(l + 2)/2
Let k(s) be the second derivative of 0*s**3 + 0 - 1/8*s**4 + 4*s + 7*s**2 - 1/20*s**5. Let g(z) be the first derivative of k(z). Factor g(r).
-3*r*(r + 1)
Let x(f) be the third derivative of f**5/240 + 19*f**4/96 - 145*f**3/12 - 2517*f**2. Determine m, given that x(m) = 0.
-29, 10
Let a(z) = 2*z**2 + 11*z - 1. Let d be a(-6). Let p = -26 - -28. Factor 0*u**5 + 0*u**3 + 3*u**5 - u**d + 4*u**4 + p*u**3.
2*u**3*(u + 1)**2
Suppose -5*w = s + 3, 0 = -4*s - w - 0*w + 7. Let t be (-24)/30 + (-5828)/(-1410). Factor -t*x - 2/3*x**s + 0.
-2*x*(x + 5)/3
Let m(d) be the second derivative of 3/4*d**2 - 32*d + 0 + 5/16*d**3 - 3/32*d**4 - 3/32*d**5 - 1/80*d**6. Find t such that m(t) = 0.
-4, -1, 1
Solve 517/2*a**2 - 375*a + 11*a**3 - 5/2*a**4 + 108 = 0.
-9, 2/5, 1, 12
Let a(z) be the first derivative of -5*z**3/9 + 4360*z**2/3 - 3801920*z/3 - 673. Determine p, given that a(p) = 0.
872
Let h(v) = -2*v**2 + v. Let i(g) = -11*g**2 + 38*g - 32. Suppose 5*c - 22 = -17. Let z(f) = c*i(f) - 5*h(f). Find k, given that z(k) = 0.
1, 32
Let d(g) be the third derivative of -g**5/30 - 415*g**4/12 + 416*g**3/3 + 1165*g**2. Factor d(y).
-2*(y - 1)*(y + 416)
Let d(c) be the second derivative of -338*c**7/21 - 26*c**6/15 - c**5/20 + 1361*c. Factor d(u).
-u**3*(26*u + 1)**2
Let u be ((-561814)/(-55))/(32/20). Let s = -6353 + u. Solve -1/4*m**3 - 15/4*m**2 - s - 75/4*m = 0.
-5
Factor p**5 + 12977875*p**2 + 113*p**4 + 124*p**4 + 447*p**4 + 165675*p**3 + 21*p**4.
p**2*(p + 235)**3
Let j be 636/(-5088) + (-654)/(-112). Let d = -21/484 - -48547/3388. Factor j*t - 4/7 - d*t**2.
-4*(5*t - 1)**2/7
Let v(r) = -3*r**3 - 14 - r + 25 - 9*r**2 + 2*r**3 - 3*r**3 + 5*r**3. Let w be v(9). Factor 0 - 1/2*h**3 - 8*h + 4*h**w.
-h*(h - 4)**2/2
Let i(q) = -8*q**2 + 36*q + 23. Let x(c) = 19*c**2 - 76*c - 46. Let n(r) = -14*i(r) - 6*x(r). Determine y, given that n(y) = 0.
-23, -1
Let g(y) = -3*y - 16. Let u be g(-8). Suppose 4*d = -4*v - 16, -3*v - u = -d - v. Factor -2 - 5 + d + 5*w**2 + 2.
5*(w - 1)*(w + 1)
Let g(v) = -2*v**2 - 81*v - 34. Let i be g(-40). Let x(u) be the third derivative of 1/780*u**i - 1/390*u**5 + 0 - u**2 + 0*u**3 + 0*u - 1/78*u**4. Factor x(h).
2*h*(h - 2)*(h + 1)/13
Let x(v) be the first derivative of 18*v**5/95 + 669*v**4/19 + 4424*v**3/57 + 1030*v**2/19 + 294*v/19 - 6182. What is j in x(j) = 0?
-147, -1, -1/3
Let q(n) be the second derivative of -n**4/28 - 243*n**3/7 - 1455*n**2/14 - 40*n + 20. Factor q(c).
-3*(c + 1)*(c + 485)/7
Let k(x) = -x**2 + 15*x - 23. Let w be k(13). Factor 101*q - 58*q**3 - 32 - 52*q**2 + 10*q**w + 28*q**3 + 3*q.
-4*(q - 1)*(q + 4)*(5*q - 2)
Suppose 20/3 + 62/9*u**3 - 5/9*u**4 - 116/9*u - 109/9*u**2 = 0. Calculate u.
-1, 2/5, 3, 10
Let h be -16 + (13 - -22) - 17. Factor 0 - 2*f**4 + f**h - 7/2*f**3 + 0*f.
-f**2*(f + 2)*(4*f - 1)/2
Let q(g) be the third derivative of g**5/300 + 19*g**4/120 - 4*g**3 + g**2 - 388. Determine a so that q(a) = 0.
-24, 5
Suppose 754*a = 752*a + 8. Let q(p) be the first derivative of 4/5*p**5 + 0*p - 5*p**a + 32/3*p**3 - 8*p**2 - 19. Suppose q(k) = 0. Calculate k.
0, 1, 2
Let p(u) = u**2 + 1. Let y(n) = n**3 - 1. Let c be y(2). Let s(q) = -1 + q**2 - 3*q + c - 3*q + 8*q**2. Let m(d) = -6*p(d) + s(d). Factor m(f).
3*f*(f - 2)
Let k(c) be the second derivative of -209*c + 0*c**3 - 512/21*c**7 - 608/15*c**6 - 3/4*c**4 + 0 + 0*c**2 - 201/20*c**5. Factor k(n).
-n**2*(n + 1)*(32*n + 3)**2
Suppose -2*z + 6*z - 1468 = 2*a, -2*a + 3*z - 1466 = 0. Let d = a + 735. Suppose 15/4*t**3 + 9/4*t**4 + 27/4*t - 39/4*t**2 - 3/2*t**d - 3/2 = 0. Calculate t.
-2, 1/2, 1
Let r be ((-4)/3)/(576/81 + -7). Let c be (2 - 0) + ((-30)/3 - r). Find b, given that -1/5*b**2 - 3/5*b + 3/5*b**3 + 2/5 - 1/5*b**c = 0.
-1, 1, 2
Suppose 53*c - 256 = 168. Let j(a) be the third derivative of 0*a - c*a**2 + 1/120*a**5 + 0 + 0*a**4 + 0*a**3. Let j(l) = 0. What is l?
0
Let q = 2362/5 - 470. Let t(u) = -u**2 - 12*u - 25. Let n be t(-9). Let -q - 18/5*l**n + 3/5*l**3 + 27/5*l = 0. What is l?
1, 4
Let g = -803/6 - -134. Let f = 13/66 + g. Factor 0 + f*j + 2/11*j**2.
2*j*(j + 2)/11
Suppose 105/4 - 1/8*p**2 - 29/8*p = 0. What is p?
-35, 6
Let p(h) = 5*h**5 - 21*h**4 + 121*h**3 - 331*h**2 + 328*h. Let b(o) = -2*o**5 + o**4 + o**3 - o**2 - 2*o. Let s(z) = 2*b(z) + p(z). Factor s(w).
w*(w - 9)*(w - 4)*(w - 3)**2
Let y(u) be the third derivative of -u**8/336 - 101*u**7/105 - 3643*u**6/30 - 108686*u**5/15 - 568912*u**4/3 - 7626496*u**3/3 - 2222*u**2 - 2. Factor y(q).
-(q + 8)**2*(q + 62)**3
Determine c, given that -c**2 + 150 - 542 + 1002*c - 1196*c + 2*c**2 = 0.
-2, 196
Let c(w) be the first derivative of w**3/6 + 65*w**2/2 + 4225*w/2 - 513. What is d in c(d) = 0?
-65
Let y(p) = p**3 - 74*p**2 + 3*p. Let m(t) = -5*t**3 + 306*t**2 - 13*t. Let i(o) = -6*m(o) - 26*y(o). Factor i(c).
4*c**2*(c + 22)
Let k = 664324/516691 - 1/73813. Suppose 3/7*a**2 - 6/7*a - k = 0. What is a?
-1, 3
Let r = 402 + -372. Find c such that 136*c**2 - 30*c**3 + r - 3*c**4 - 16*c**2 - 130*c - 2*c**4 + 15 = 0.
-9, 1
Let n(m) be the second derivative of m**4/9 + 296*m**3/9 - 15*m + 16. What is y in n(y) = 0?
-148, 0
Let n(s) be the second derivative of -s**5/150 - 2*s**4/15 - 7*s**3/15 + 28*s**2 - 6*s - 14. Let w(r) be the first derivative of n(r). Solve w(b) = 0 for b.
-7, -1
Let w(h) be the third derivative of -h**6/840 + 4*h**5/21 + 41*h**4/42 + 1718*h**2. Factor w(d).
-d*(d - 82)*(d + 2)/7
Let k = 561 + -299. Determine t, given that 160*t**2 + 16*t + 62*t**4 + 321*t**3 + k*t**4 + 147*t**3 = 0.
-1, -2/9, 0
Let -3645*a - 12959 + 0*a**3 + 4*a**3 - 135*a**2 - 5266 + a**3 = 0. Calculate a.
-9, 45
Let a = 1762 - 1758. Let w(k) be the second derivative of -2/5*k**2 + 8/15*k**3 + 0 - 1/5*k**a + 33*k. Factor w(l).
-4*(l - 1)*(3*l - 1)/5
Suppose 0 = -2*t + 6*t - 16. Suppose -t*g + a = -12, g = -4*g + a + 14. Factor 2*h**4 - 4*