or z(n).
-(n - 16)*(n + 1)/6
Factor -4 + 2/3*z**2 - 2/3*z.
2*(z - 3)*(z + 2)/3
Let z be (2/(-4))/(6/(-12)) - 1. Let h = -309 + 309. Factor z - 5/6*i**3 + h*i**2 + 5/6*i.
-5*i*(i - 1)*(i + 1)/6
Suppose -8*x + 56*x - 654 = -51*x - 10*x. Factor -x + 46/5*v + 2/5*v**3 - 18/5*v**2.
2*(v - 5)*(v - 3)*(v - 1)/5
Determine v, given that 1/5*v + 0 - 28/5*v**2 = 0.
0, 1/28
Suppose -5*z = 3*l - 44, -5*z + 38 = 554*l - 553*l. Suppose -6*m**l + 13/4*m**2 - 1/2*m + 0 + 17/4*m**4 - m**5 = 0. Calculate m.
0, 1/4, 1, 2
Let o = 116847 + -116844. Factor -2/19*f**o + 0 - 6/19*f**2 - 4/19*f.
-2*f*(f + 1)*(f + 2)/19
Let c(l) be the second derivative of 63*l - 17/5*l**3 + 0 + 41/20*l**4 - 33/10*l**2 + 3/25*l**5. Determine k, given that c(k) = 0.
-11, -1/4, 1
Let q(h) be the third derivative of -h**7/490 + 11*h**6/280 - 11*h**5/70 - 15*h**4/14 + 36*h**3/7 - 4884*h**2. Solve q(a) = 0.
-2, 1, 6
Let k(o) be the first derivative of -o**4/4 + 4*o**3/3 + 3*o**2/2 - 26. Let p(g) = g**2. Let c(l) = 2*k(l) - 4*p(l). Factor c(s).
-2*s*(s - 3)*(s + 1)
Let n(i) be the third derivative of 0 + 1/20*i**5 + 3/2*i**4 - 48*i**2 + 0*i + 11/2*i**3. Factor n(k).
3*(k + 1)*(k + 11)
Let a(b) be the second derivative of 1/40*b**5 - 1/6*b**4 + 0 - 11/12*b**3 - 3/2*b**2 + 63*b. Factor a(z).
(z - 6)*(z + 1)**2/2
Let i(u) be the third derivative of u**6/280 + 557*u**5/70 - 2231*u**4/56 + 558*u**3/7 - 8686*u**2. Factor i(w).
3*(w - 1)**2*(w + 1116)/7
Let r(l) = -l**4 - l**3 - 4*l**2 + l + 1. Let m(f) = 4*f**4 - 3*f**3 + 16*f**2 + 3*f - 8. Let c(w) = 2*m(w) + 6*r(w). Factor c(j).
2*(j - 5)*(j - 1)**2*(j + 1)
Let o(q) be the third derivative of -q**5/120 + 319*q**4/8 - 305283*q**3/4 + 5*q**2 + 21*q - 3. Find m such that o(m) = 0.
957
Let a = 5319 - 5312. Let v(s) be the third derivative of -15*s**2 + 0 + 0*s + 1/12*s**6 + 1/3*s**3 - 2/105*s**a - 1/12*s**4 - 1/10*s**5. Solve v(p) = 0 for p.
-1/2, 1
Solve -1004268*t**4 + 1004264*t**4 + 87*t**3 - 17 - 305*t**3 - 528*t**2 - 87 - 418*t = 0.
-52, -1, -1/2
Let n(d) be the second derivative of -338*d**2 - 27/10*d**6 + 115*d - 207/2*d**5 + 0 - 12757/12*d**4 + 2990/3*d**3. Factor n(j).
-(j + 13)**2*(9*j - 2)**2
Suppose -2*d = 2*a - 82, 23*d + 233 = 28*d - 2*a. Factor 4*m + 393*m**3 - 358*m**3 - d*m**2 + 6*m.
5*m*(m - 1)*(7*m - 2)
Let p(c) be the third derivative of -1/75*c**6 - 5 + 2*c**2 - 2/15*c**3 + 1/15*c**4 + 1/300*c**5 + 1/350*c**7 + 0*c. Determine w so that p(w) = 0.
-1, 2/3, 1, 2
Let j(u) be the first derivative of -4 - 29/4*u**2 - 5/3*u**3 - 10*u - 1/8*u**4. Suppose j(o) = 0. What is o?
-5, -4, -1
Let s(i) be the first derivative of 4*i**3/21 - 62*i**2/7 + 120*i/7 + 10733. Factor s(j).
4*(j - 30)*(j - 1)/7
Suppose 2*n + 0*n = 12. Suppose 3*r + 0 = n. Factor -5*z**3 + 5*z**4 - 15*z**r + 10 + 5*z**3 - 5*z + z**3 + 4*z**3.
5*(z - 1)**2*(z + 1)*(z + 2)
Let a be -501 + 507 - (-256)/(-44). Determine x so that 10/11*x**3 + 16/11 + 4/11*x**4 - 8/11*x - a*x**5 - 20/11*x**2 = 0.
-2, -1, 1, 2
Let i(g) be the third derivative of -33*g**2 + 0*g**3 + 0 - 2/3*g**4 - 3*g - 1/30*g**6 - 4/15*g**5. Factor i(v).
-4*v*(v + 2)**2
Let j be (363/44)/((-6)/(-40)). Factor -10 + 33*g**4 - 41*g**2 - 13*g**4 + 21*g**2 + j*g - 5*g**3 - 40*g**2.
5*(g - 1)**2*(g + 2)*(4*g - 1)
Let a(g) be the second derivative of -245/6*g**3 - 30*g**2 + 21*g - 5/3*g**4 + 0. Factor a(n).
-5*(n + 12)*(4*n + 1)
Factor -11*i**3 + 461*i**4 + i**5 + 64*i - 5 - 237*i**4 - 220*i**4 - 26*i**2 - 27.
(i - 2)*(i - 1)**2*(i + 4)**2
Let m(u) be the third derivative of -u**7/525 + 13*u**6/30 - 25*u**5/6 + 8659*u**2. Factor m(c).
-2*c**2*(c - 125)*(c - 5)/5
Suppose -59 + 29 = -10*a. Find k, given that 12*k**3 - k**5 + 5*k**4 - 8*k**4 - 14*k**a = 0.
-2, -1, 0
Let k be (-143)/39*480/(-440). Let f(s) be the second derivative of 27*s**2 - 1/15*s**6 - 3*s**k + 4/5*s**5 + 19*s + 0 + 0*s**3. Factor f(b).
-2*(b - 3)**3*(b + 1)
Let o be -9 - (0 - (-21006)/(-2277)). Let u = 38969/2277 - o. Solve 18*p**3 + 16/9 + u*p + 44*p**2 = 0.
-2, -2/9
Suppose 0 + 7/4*a**2 + 3/2*a + 1/4*a**3 = 0. Calculate a.
-6, -1, 0
Let c(s) be the third derivative of s**7/1050 - s**6/40 + 11*s**5/50 - 2*s**4/3 + 8925*s**2. Determine k so that c(k) = 0.
0, 2, 5, 8
Let n = -101 + 215. Suppose -2*y = 2*h - 120, 2*y = -h + 2*h + n. Factor -3*z**2 + 68*z**3 - y*z**3 - 2*z**2 - 5*z**4.
-5*z**2*(z - 1)**2
What is a in 25*a**4 - 6301*a - 3*a**5 + 6181*a - 2*a**5 + 38*a**3 + 12*a**3 - 100*a**2 = 0?
-2, -1, 0, 2, 6
Let j(p) be the first derivative of 6/13*p**2 + 0*p + 98 - 3/13*p**4 - 2/39*p**3 + 2/65*p**5. Factor j(f).
2*f*(f - 6)*(f - 1)*(f + 1)/13
Factor 511 - 1319*v + 606*v**2 + 8*v**3 - 19*v**3 + 14*v**3 + 101 + 98*v.
3*(v - 1)**2*(v + 204)
Suppose m - 56*i + 60*i = -1, -2*m + 1 = 5*i. Let w(l) be the first derivative of -5/2*l**2 - 19 + 0*l + 2*l**5 + 0*l**4 + 5/6*l**6 - 10/3*l**m. Solve w(f) = 0.
-1, 0, 1
Suppose -3*m - y = -14, 0 = -y - y - 2. Let k be m + (-3 - 80/45). Find o such that 2/9*o**3 - k*o**5 + 0*o + 0 - 2/3*o**2 + 2/3*o**4 = 0.
-1, 0, 1, 3
Let g(p) be the third derivative of p**6/360 + 13*p**5/36 + 136*p**4/9 + 512*p**3/9 - 1076*p**2. Factor g(l).
(l + 1)*(l + 32)**2/3
Factor 187 - 62471*x - 31 + 62909*x + 4*x**2 + 23*x**2 + 684.
3*(x + 14)*(9*x + 20)
Let 536/3*i**3 + 4/3*i**5 - 88/3*i**4 - 168 - 1328/3*i**2 + 460*i = 0. Calculate i.
1, 3, 14
Suppose 67 + 71 = 6*t. Let l = 40 - t. Suppose -3*r**3 - 8 + l*r**2 - 36*r + 65*r - 47*r = 0. What is r?
-1/3, 2, 4
Let b(f) = -14*f**2 + 1302*f - 304. Let j(m) = 43*m**2 - 3910*m + 909. Let d(i) = -22*b(i) - 8*j(i). Find u, given that d(u) = 0.
2/9, 73
Suppose 2*n - 113 = 5*u + 41, -u + 286 = 4*n. Solve n*l + 271*l**3 + 84 - 553*l**3 + 9*l**2 + 279*l**3 = 0 for l.
-2, 7
Suppose -3/5*j**2 - 30*j + 312/5 = 0. What is j?
-52, 2
Let a be 2*(-22)/(-2970)*27. Suppose 0*h + 12 = 3*h. Factor -22/5 + h*l + a*l**2.
2*(l - 1)*(l + 11)/5
Let s = 449937/4 + -112484. What is h in s*h**2 - 35/4*h - 9 = 0?
-1, 36
Factor 15265 + 16414 - 42480*u - 3*u**3 + 10093 + 711*u**2.
-3*(u - 118)**2*(u - 1)
Let z = -35 - -38. Suppose -13*c**2 + 2*c**3 - 3*c**z - 13*c**2 - 36*c + 38*c**2 = 0. What is c?
0, 6
Let o(d) = 17*d**2 - 53*d - 27. Let t(w) = -w**2 + w + 1. Let x(p) = -4*p + 18. Let s be x(3). Let u(y) = s*t(y) + 2*o(y). Let u(b) = 0. Calculate b.
-3/7, 4
Solve 37/6*i - 31/6*i**2 - 1 = 0.
6/31, 1
Let n(i) = -i + 9. Let a be n(12). Let b(u) = -u**3 - u**2 - u - 1. Let s(g) = -7*g**3 - 31*g**2 + g + 25. Let p(v) = a*b(v) + s(v). Let p(h) = 0. Calculate h.
-7, -1, 1
Find p such that -668*p**2 + 135*p**2 + p**4 - 252*p**3 + 102487*p - 251*p**2 + 3*p**4 - 103015*p = 0.
-2, -1, 0, 66
Let x be ((-186)/105)/((-156)/520) + (-12)/21. Find r such that -12*r + 8*r**2 + x - 4/3*r**3 = 0.
1, 4
Let v = 5321 + -5305. Let o(u) be the first derivative of -3/20*u**5 + 0*u**2 + v - 3/16*u**4 + 1/2*u**3 + 0*u. Factor o(r).
-3*r**2*(r - 1)*(r + 2)/4
Let f(o) = o**2 + 15*o - 124. Let l be f(6). Let t be (-38)/6 - (l - 9). Factor -16/3*p + t*p**2 + 32/3.
2*(p - 4)**2/3
Factor 18997 - 135*x**2 - 20172 - 70*x**2 + 1385*x - 5*x**3.
-5*(x - 5)*(x - 1)*(x + 47)
Let 59*m**2 - 12*m**3 + 14*m**3 + 5*m**2 - 10*m**3 - 4*m**4 - 16*m**3 = 0. What is m?
-8, 0, 2
Let w(t) = t**2 - 6*t - 8. Let j be w(7). Let a(q) = -q. Let u be a(j). Factor -3 + u + 0*m - 2*m**2 - m + 5*m.
-2*(m - 1)**2
Let z be (27/24)/(14/112). Factor -19*q - 14*q - 15*q**2 - 9*q**2 - 6*q + z - 27 - 3*q**3.
-3*(q + 1)**2*(q + 6)
Suppose 110 - 4*q - 2 + 12 - 4*q**2 = 0. Calculate q.
-6, 5
Let n = 199481 - 199481. Factor -r**4 - 3/2*r**3 + 0*r + 1/2*r**5 + 0 + n*r**2.
r**3*(r - 3)*(r + 1)/2
Let g(u) be the third derivative of u**8/1008 - u**7/105 + 11*u**6/360 - u**5/30 - 374*u**2. Find y, given that g(y) = 0.
0, 1, 2, 3
Let w(q) = -56*q**2 - 9*q - 80. Let u(d) = 13*d**2 + 3*d + 20. Let z(v) = -26*u(v) - 6*w(v). Determine s, given that z(s) = 0.
-10, -2
Let g(w) = -871*w**4 - 1780*w**3 - 131*w**2 + 22. Let q(a) = 174*a**4 + 356*a**3 + 26*a**2 - 4. Let u(n) = -2*g(n) - 11*q(n). What is t in u(t) = 0?
-2, -3/43, 0
Let n be (-169)/(-60) - -8 - (-153)/(-1020). What is c in 2/3*c**4 - 36*c**2 - n*c**3 - 112/3*c - 38/3 = 0?
-1, 19
Let m = 24/46517 + -119130541/976857. Let p = -365/3 - m. Factor -p*n**3 - 4/7*n**2 + 2/7*n + 4/7.
-2*(n - 1)*(n + 1)*(n + 2)/7
Let o(i) be the third derivative o