d(n).
n*(n - 21)*(n + 1)/12
Let o(t) = -3*t + 1. Let g(u) = u**3 - 33*u**2 + 273*u - 251. Let i(c) = 4*g(c) - 20*o(c). Factor i(j).
4*(j - 16)**2*(j - 1)
Suppose 0 = 3*t - q + 2*q - 14, 4*t + q - 18 = 0. Determine d so that -21*d**2 - 303 - 47*d**5 + 50*d**5 + 315 + 9*d**t - 3*d**3 = 0.
-2, -1, 1
Factor -3*j**4 + 8*j**4 + j**4 + 8*j**4 + 10*j**3 - 9*j**4 + 15 - 10*j - 20*j**2.
5*(j - 1)**2*(j + 1)*(j + 3)
Let j = 350/3 + -115. Let f be 598/138*(-16)/(-52). Factor f - j*d**2 + 1/3*d.
-(d - 1)*(5*d + 4)/3
Let f(w) be the third derivative of 16*w**7/525 - 24*w**6/25 + 324*w**5/25 - 486*w**4/5 + 2187*w**3/5 + 449*w**2. Solve f(j) = 0.
9/2
Let r be (-14)/12 + 915/366. Solve 4*t**2 - 4/3*t - 8/3 - r*t**4 + 4/3*t**3 = 0 for t.
-1, 1, 2
Let m(c) be the first derivative of c**4/34 - 42*c**3/17 + 122*c**2/17 - 1431. Factor m(q).
2*q*(q - 61)*(q - 2)/17
Let g(l) be the third derivative of -3*l**6/40 - 13*l**5/12 + 1549*l**4/6 + 230*l**3 - 13*l**2 - 56*l. Factor g(m).
-(m - 23)*(m + 30)*(9*m + 2)
Let p(c) = -2*c + 0 - 3*c + 7*c + 18. Let g be p(-8). Factor 3 + 0 + 4*v**g + 2*v - v**2 - 4*v**2.
-(v - 3)*(v + 1)
Let a(k) be the first derivative of k**6/3780 - k**5/126 + 4*k**4/63 + k**3 - 21*k - 15. Let p(z) be the third derivative of a(z). Solve p(b) = 0.
2, 8
Let f be (-2)/4*9/18*-76. Suppose -f*m = 50*m - 207. Solve 0 + d**m - 4/3*d + 4/3*d**2 = 0 for d.
-2, 0, 2/3
Suppose -49*m + 20 = 48*m - 92*m. Let h(s) be the first derivative of -21/10*s**5 + 0*s - 3/2*s**2 + 3/4*s**m + 7/2*s**3 - 11. Determine g, given that h(g) = 0.
-1, 0, 2/7, 1
Let y(c) = c**2 + 2*c + 3. Let k(a) = -3*a**2 + 17*a - 408. Let v(t) = -k(t) - 4*y(t). Determine g so that v(g) = 0.
-36, 11
Factor 5*m**3 + 2593*m**2 - 2593*m**2 + 4*m**4 - 29*m**3.
4*m**3*(m - 6)
Let m = 29868 + -29865. Let s(x) be the third derivative of -34*x**2 + 0*x + 1/18*x**4 + 1/90*x**5 + 0 - 1/3*x**m. Factor s(p).
2*(p - 1)*(p + 3)/3
Let v = -1158 - -8268/7. Let b = 697/28 - v. Determine h so that 7/4*h**3 + 3/2 - b*h - 1/4*h**4 - 5/4*h**2 = 0.
-1, 1, 6
Let r(f) be the third derivative of f**7/1470 - f**6/70 + 41*f**5/420 - f**4/4 + 700*f**2. Factor r(z).
z*(z - 7)*(z - 3)*(z - 2)/7
Suppose -4*r - 13163 = -13195, 3*m - 5*r + 40 = 0. Factor -6/11*h**3 + 4/11*h**2 + m*h + 2/11*h**5 + 0*h**4 + 0.
2*h**2*(h - 1)**2*(h + 2)/11
Solve -2/7*k**2 - 132/7 - 34/7*k = 0.
-11, -6
Let x(t) be the third derivative of 5/18*t**5 + 23*t**2 + 0*t**4 + 0*t**3 - 2*t - 11/108*t**6 + 0 - 1/1512*t**8 + 13/945*t**7. Let x(m) = 0. Calculate m.
0, 3, 5
Let u(c) be the second derivative of c**4/114 + 5*c**3/3 + 364*c**2/19 - 765*c + 3. Factor u(g).
2*(g + 4)*(g + 91)/19
Let g(f) be the second derivative of -f**7/8820 + f**6/360 - 3*f**4/4 + f**2 + 2*f + 2. Let t(c) be the third derivative of g(c). Solve t(y) = 0 for y.
0, 7
Let g = -138 - -140. Suppose 0 = -0*r - g*r + 4. Determine l, given that 24*l**2 - 9*l**2 + l**4 + 4*l**3 - 2*l**4 + 3 - 4*l - 17*l**r = 0.
-1, 1, 3
What is a in -93/2*a + 1/2*a**2 - 245 = 0?
-5, 98
Let n(z) = -5*z + 114. Let k be n(22). Suppose 0 = 2*g - g - 102. Factor -g*b**2 - b**3 - 2 + 102*b**2 - k*b + 7*b.
-(b - 1)**2*(b + 2)
Let w = 97/33 - 14/11. Let c(v) be the first derivative of -2/3*v**5 - 2/3*v - 5/3*v**2 - w*v**4 - 16 - 1/9*v**6 - 20/9*v**3. Suppose c(m) = 0. What is m?
-1
Suppose 58/7*y**2 + 34/7*y**3 - 6/7*y**4 - 4 - 10/7*y = 0. Calculate y.
-1, 2/3, 7
Let x(t) be the third derivative of -t**6/180 - 7*t**5/30 + 23*t**4/18 + 5*t**2 + 95. Suppose x(k) = 0. Calculate k.
-23, 0, 2
Let q(b) = -b**5 - 10*b**4 - 50*b**3 - 56*b**2 - 27*b - 3. Let f(u) = u**4 - u**3 + u**2 - u - 1. Let y(i) = 3*f(i) - q(i). Suppose y(d) = 0. What is d?
-8, -3, -1, 0
Let n = 81 - 79. Factor 9*w**2 + 0*w**n - 151*w + 147*w - 12 - w**4.
-(w - 2)**2*(w + 1)*(w + 3)
Let u(q) be the third derivative of -q**8/840 - 74*q**7/525 - 71*q**6/75 - 28*q**5/15 + 31*q**2 - 23. Factor u(f).
-2*f**2*(f + 2)**2*(f + 70)/5
Let q(y) = -3*y**3 - 71*y**2 + 24*y. Suppose -7*x - 36 + 113 = 0. Let d(h) = 24*h**2 - 8*h. Let u(s) = x*d(s) + 4*q(s). Suppose u(j) = 0. Calculate j.
-2, 0, 1/3
Let w = 16659 + -49969/3. Factor 12*x + w*x**2 + 16/3.
4*(x + 4)*(2*x + 1)/3
Let z(c) be the first derivative of -7*c**5/15 - 101*c**4/12 + 175*c**3/9 - 19*c**2/6 - 16*c + 670. Find g, given that z(g) = 0.
-16, -3/7, 1
Let d(l) = 2*l**2 - 5*l + 3. Let f(k) be the first derivative of k**3/3 - k**2/2 + 1. Let p = -13427 - -13424. Let i(q) = p*f(q) + d(q). Factor i(n).
-(n - 1)*(n + 3)
Let w(p) be the third derivative of p**7/840 - p**6/480 - 19*p**5/80 + 145*p**4/96 + 25*p**3/3 - 165*p**2. Factor w(t).
(t - 5)**2*(t + 1)*(t + 8)/4
Let j(f) = -65*f**2 + 1141*f + 2198. Let i(n) = 25*n**2 - 381*n - 733. Let r(c) = -8*i(c) - 3*j(c). Factor r(m).
-5*(m + 2)*(m + 73)
Let k = 123649 - 123646. Determine w so that 0 + 0*w - 4/15*w**4 + 0*w**2 + 2/15*w**k + 2/15*w**5 = 0.
0, 1
Let n(l) be the first derivative of 3/4*l**4 - 1/2*l**3 + 7 - 3/2*l**2 + 0*l + 3/10*l**5. Factor n(c).
3*c*(c - 1)*(c + 1)*(c + 2)/2
Let n be 0 + -1 + 5 - 0 - 5. Let l be (0 - 5/25)/(n*1). Factor 3/5*t**3 + 1/5*t**4 + l*t**2 - 3/5*t - 2/5.
(t - 1)*(t + 1)**2*(t + 2)/5
Let m(x) be the first derivative of -2*x**5/65 + 2*x**4/13 + 2*x**3/39 - 4*x**2/13 - 193. Suppose m(i) = 0. Calculate i.
-1, 0, 1, 4
Suppose 22*v + 10*v - 14*v - 54 = 0. Let d(p) be the first derivative of 1/3*p**3 - p - 1/2*p**2 + v + 1/4*p**4. Factor d(c).
(c - 1)*(c + 1)**2
Let z = 255 + -253. Determine m so that m**3 + z*m**4 - 7 - 2*m + 7 + m**4 - 3*m**3 - 7*m**2 = 0.
-1, -1/3, 0, 2
Let g = 133 - 130. Find a, given that -36*a**4 - 3*a**2 + 300*a**g + 49*a**2 + 56 + 7*a - 386*a**2 + 13*a = 0.
-1/3, 2/3, 1, 7
Let l(o) be the third derivative of -o**8/50400 - o**7/525 - 23*o**6/1800 + o**5/20 + o**4/8 + 103*o**2. Let b(n) be the third derivative of l(n). Factor b(s).
-2*(s + 1)*(s + 23)/5
Let k be 4 - 2 - ((-4917)/(-12) - 7). Let g = 401 + k. Factor -9/4 - g*y**2 - 3/2*y.
-(y + 3)**2/4
Let u(x) be the third derivative of -3*x**8/448 - 31*x**7/280 - 337*x**6/480 - 33*x**5/16 - 121*x**4/48 + 9*x**2 - 34. Solve u(h) = 0.
-11/3, -2, -1, 0
Let b = -83362 - -83364. Suppose -14/11*f**3 - 8*f**b - 24/11*f + 0 = 0. Calculate f.
-6, -2/7, 0
Suppose -5*v + 16 = 11. Suppose l = -v - 0, 5*l - 5 = -2*b. Factor 10 - 4*k**2 + k**2 - 3*k + k**2 - b*k.
-2*(k - 1)*(k + 5)
Let -33*t - 2*t**3 - 12796*t**2 + 12895*t**2 - 9*t + 5*t**3 + 12*t**3 = 0. What is t?
-7, 0, 2/5
Let x be (-66)/(-55)*35/14. Suppose 9*a**3 + 5*a**4 - 22*a**3 + 15*a**2 - 4*a**3 - 3*a**x = 0. What is a?
0, 1, 3
Let j be 3 - (15/(-45) + 3). Let q = 25 + -23. Factor -1/6*l**q - 1/6*l + j.
-(l - 1)*(l + 2)/6
Let -72 + 75*v + 15*v**2 + 3/4*v**4 - 75/4*v**3 = 0. What is v?
-2, 1, 2, 24
Suppose 35/2*p**2 + 9*p**3 + 8*p - 1/2 = 0. Calculate p.
-1, 1/18
Let o = -33/1319 - -56224/85735. Let t = o - -11/65. Factor 12/5*n + 0*n**2 - 8/5 - t*n**3.
-4*(n - 1)**2*(n + 2)/5
Let l(w) be the first derivative of 2*w**5/15 + 5*w**4/6 - 2*w**3 - 27*w**2 - 72*w + 811. Factor l(f).
2*(f - 4)*(f + 3)**3/3
Let t(q) = q**2 + 22*q - 48. Let y be t(-24). Suppose y = 31*s - 66*s + 34*s. Let -1/9*u**4 + 4/9*u**3 + s - 1/9*u**5 + 4/9*u**2 + 0*u = 0. Calculate u.
-2, -1, 0, 2
Let n = 52552 - 52549. Factor -14/5*s**2 + 28/5*s + 2/5*s**n - 16/5.
2*(s - 4)*(s - 2)*(s - 1)/5
Suppose 2*i + 2*a + 6 = 0, -4*a = -2*i - 3*a + 3. Let u be 5 + (i - -6) + -46 + 37. Suppose 16/3*k - 2/3*k**u - 2/3*k**3 + 8 = 0. Calculate k.
-2, 3
Let 40/3 + 70/3*s - 15*s**2 = 0. Calculate s.
-4/9, 2
Let p(u) be the first derivative of -2*u**6/3 + 32*u**5/5 - 24*u**4 + 128*u**3/3 - 32*u**2 + 4068. Solve p(s) = 0 for s.
0, 2
Suppose -2*t - 4*s = 8, 2*t - 16*s - 16 = -14*s. Factor 3 + 6*q**4 + 4*q**t - 11*q**4 - 3 - 11*q**3 - 10*q**2.
-q**2*(q + 1)*(q + 10)
Suppose 9*g + 4*l - 10 = 29*g - 21*g, -3*l + 6 = 0. Factor 0*o - 14/11*o**3 + 0*o**g + 2/11*o**4 + 0.
2*o**3*(o - 7)/11
Let d(t) = -512 - 2*t**2 + 117*t - 148 - 679. Let i(h) = -h**2 + 58*h - 670. Let v(j) = 6*d(j) - 13*i(j). Determine q so that v(q) = 0.
26
Suppose 4*j - 22 = 2*z + 22, -4*j + z + 40 = 0. Factor p**4 + 4*p**2 + 21*p**3 + 61*p**2 + 60*p + j*p**3 + 20 + 4*p**4.
5*(p + 1)**2*(p + 2)**2
Let w be (-35)/(9 + -4) - (-7 + (-5)/200). Let g(y) be the third derivative of -w*y**4 + 0*y + 0 + 5*y