r**5/30 - 17*r**4/6 + 50*r. Let k(g) be the third derivative of p(g). Factor k(v).
-2*(v - 1)*(v + 1)*(15*v - 2)
Let j = -733831/10 + 73309. Let f = -147/2 - j. Determine u so that 9/5*u + 9/5*u**2 + 3/5*u**3 + f = 0.
-1
Factor 456 + 736 + 210*y + 693 + 5*y**2.
5*(y + 13)*(y + 29)
Let p(q) be the second derivative of -9*q**5/20 - 5*q**4 - 18*q**3 - 24*q**2 - 914*q. Determine t so that p(t) = 0.
-4, -2, -2/3
Let c(r) be the third derivative of -r**6/30 + 1021*r**5/15 - 260099*r**4/6 - 522242*r**3/3 + 7*r**2 - 448*r. Factor c(z).
-4*(z - 511)**2*(z + 1)
Let f(n) be the first derivative of 3*n**4/16 + 31*n**3/4 - 12*n**2 + 940. Suppose f(t) = 0. What is t?
-32, 0, 1
Let v(s) = -s**3 - 19*s**2 - 74*s - 35. Let x be v(-14). Solve -3*f**2 + 38 + f + 25 + 2*f - 24 + x = 0.
-4, 5
Let f(x) = -9263*x + 8*x**2 + 9251*x - 4 + 13. Let a(b) = -9*b**2 + 12*b - 9. Suppose -2*u + 12 = -0. Let i(k) = u*f(k) + 5*a(k). Suppose i(v) = 0. What is v?
1, 3
Let m = -14983 - -14985. Let p(j) be the first derivative of -1/22*j**4 - 17 + 4/11*j**3 + 8/11*j - 9/11*j**m. Factor p(i).
-2*(i - 4)*(i - 1)**2/11
Let u(c) be the third derivative of -c**8/8064 - 11*c**7/2016 - 43*c**5/20 + 4*c**2 - 11*c. Let p(f) be the third derivative of u(f). Let p(l) = 0. Calculate l.
-11, 0
Let k(x) = -2*x**3 - 4*x**2 - 3*x + 1. Let d be k(-1). Factor -13 + 29 + 105*s**2 - 109*s**d.
-4*(s - 2)*(s + 2)
Suppose -4*r - 1995 = -7*r. Let f = r + -665. Factor 2/7*q**5 + f + 2/7*q**2 + 0*q + 6/7*q**3 + 6/7*q**4.
2*q**2*(q + 1)**3/7
Let k(c) = -6*c + 245. Let d be k(41). Let j(i) = -i**3 - i + 1. Let z(p) = -3*p**4 + 18*p**3 - 63*p**2 + 60*p - 18. Let l(n) = d*z(n) + 6*j(n). Factor l(a).
3*(a - 4)*(a - 2)*(a - 1)**2
Suppose -2*g - 144 = -7*q + 6*q, 3*g - 149 = -q. Let t = 150 - q. Find b such that t*b**3 - 8/3 + 16/3*b**2 - 4/3*b = 0.
-1, 2/3
Let b(h) be the first derivative of 13 - 1/30*h**4 + 0*h**2 - 19*h + 2/15*h**3. Let x(m) be the first derivative of b(m). Factor x(r).
-2*r*(r - 2)/5
Find s such that -23/2*s**2 - 120*s + 1/2*s**4 + 288 + 5*s**3 = 0.
-8, 3
Let 1148 + 11*f**2 - 13*f**2 - 2*f**2 + 128*f + 8*f = 0. What is f?
-7, 41
Let q(g) be the second derivative of 61*g + 1/135*g**6 + 2/9*g**2 + 1 - 1/18*g**5 - 7/27*g**3 + 1/6*g**4. Factor q(z).
2*(z - 2)*(z - 1)**3/9
Let r(q) be the first derivative of 2*q**5/15 - 328*q**4/3 + 215168*q**3/9 - 5372. Find s, given that r(s) = 0.
0, 328
Let x be (120/80)/((-2)/(-4)). Let c(n) be the first derivative of -x*n**3 - 2*n + 11/2*n**2 + 19. Let c(w) = 0. Calculate w.
2/9, 1
Let o(l) be the second derivative of 0 - 8/15*l**6 - 45*l + 2/3*l**3 + 8/3*l**4 - 8*l**2 + 2/21*l**7 - 2/5*l**5. Solve o(v) = 0 for v.
-1, 1, 4
Factor -229/4*c - 19 - 3/4*c**2.
-(c + 76)*(3*c + 1)/4
Let u = 153488/5 - 30688. Factor 2/5*t**3 + 72 - 14/5*t**2 - u*t.
2*(t - 6)**2*(t + 5)/5
Suppose -y = -4*s - 41, -2*s - 30 - 43 = -3*y. Suppose 3*m + y*m + 20 - 11*m + 4*m - 2*m**2 + m = 0. Calculate m.
-1, 10
Let q(l) = 18*l. Let a be q(12). Solve -170*u + a*u**5 + 296*u**2 - 1769 + 1929 - 756*u**4 - 358*u + 612*u**3 = 0.
-5/6, 2/3, 1, 2
Let r = -176426/3 - -58812. Factor -r*y - 26/9*y**3 + 0 - 58/9*y**2 + 2/9*y**4.
2*y*(y - 15)*(y + 1)**2/9
Let g be (7 + (-40)/(-32))*(-828)/(-1518). What is y in -3/2*y**5 + 39/4*y**4 - 21*y**3 - g*y + 69/4*y**2 + 0 = 0?
0, 1/2, 1, 2, 3
Let r = -6133 + 165623/27. Let o(w) be the first derivative of w**2 + r*w**3 + 1/27*w**6 + 4/9*w + 7/9*w**4 + 4/15*w**5 - 11. Let o(i) = 0. What is i?
-2, -1
Let k(f) be the first derivative of 0*f**3 - 6 + 1/360*f**6 - 3/2*f**2 + 1/72*f**4 + 1/90*f**5 + 0*f. Let x(j) be the second derivative of k(j). Factor x(c).
c*(c + 1)**2/3
Let t(v) = -v**2 - 16*v + 39. Let z be t(-18). Suppose z*f - 6 = i, 4*i + 7 - 10 = 3*f. Suppose -3*u**2 - i*u**3 + 0 - 3/4*u = 0. Calculate u.
-1/2, 0
Let b(s) = 20*s**4 + 91*s**3 + 140*s**2 + 51*s. Let n(j) = -23*j**3 - 3258*j**4 - 13*j - 15*j**2 - 20*j**2 + 3253*j**4. Let k(c) = 2*b(c) + 9*n(c). Factor k(z).
-5*z*(z + 1)**2*(z + 3)
Let k(j) = -3*j**4 - 107*j**3 - 305*j**2 + 109*j. Let u(i) = 4*i**4 + 106*i**3 + 306*i**2 - 104*i. Let b(p) = -4*k(p) - 5*u(p). Factor b(d).
-2*d*(d + 6)*(d + 7)*(4*d - 1)
Let t(v) be the first derivative of 5*v**3/3 - 245*v**2/2 - 2950*v + 1379. Let t(p) = 0. Calculate p.
-10, 59
Let r(v) be the first derivative of 7/90*v**5 + 0*v - 1/18*v**4 + 14 + 0*v**3 + 1/20*v**6 - 14*v**2. Let y(j) be the second derivative of r(j). Factor y(c).
2*c*(c + 1)*(9*c - 2)/3
Let d(w) = -71*w**2 + 164*w - 978. Let l(g) = -25*g**2 + 55*g - 326. Let f(q) = 6*d(q) - 17*l(q). Let n be f(8). Determine p, given that 1/2*p**n + 2 + 2*p = 0.
-2
Let v(t) be the third derivative of -t**5/90 - 7*t**4/9 + 29*t**3/9 + 1579*t**2. Find u such that v(u) = 0.
-29, 1
Factor 1/3*m**3 + 5*m**2 - 16/3*m + 0.
m*(m - 1)*(m + 16)/3
Let z(o) be the first derivative of 1/3*o**3 + 3/4*o**2 - 78 + 2/3*o + 1/24*o**4. Factor z(b).
(b + 1)**2*(b + 4)/6
Let v = 2 - 2. Suppose -122 + 287 = 33*a - 0*a. Factor 0 - 1/3*u**2 + v*u + 5/6*u**3 + 1/6*u**a - 2/3*u**4.
u**2*(u - 2)*(u - 1)**2/6
Suppose 5*b + 190 = -3*o + 801, 2*b + 806 = 4*o. Let y = o + 54. Find i, given that -33*i - 30*i + 13*i + y - 14*i + 4*i**2 = 0.
8
Let w(u) be the third derivative of -177*u**2 + 0 + 1/112*u**8 + 0*u**4 - 1/35*u**7 + 0*u**3 - 1/5*u**6 + 0*u**5 + 0*u. Factor w(f).
3*f**3*(f - 4)*(f + 2)
Suppose -161*h + 157*h + 13 = -b, 9 = -3*h - 3*b. Let z(n) be the second derivative of -1/2*n**3 + 0*n**h + 1/4*n**4 + 0 + 12*n. What is l in z(l) = 0?
0, 1
Suppose 156 - 21 = 5*w. Suppose 5*b = 4*r - 2*r + w, -3*r = 4*b - 17. Factor 4*k**2 + b*k + k + 2*k**2 - 3*k**2.
3*k*(k + 2)
Let c(j) be the first derivative of -1/15*j**6 - 1/5*j**4 + 13 + 0*j - 8/25*j**5 + 8/15*j**3 + 3/5*j**2. Find w such that c(w) = 0.
-3, -1, 0, 1
Let h(b) = b**2 - 11*b + 2. Let d be h(-3). Suppose 20*k - 6*k**2 - k**4 + d*k**2 + 6*k**4 + 30*k**3 + 7*k**2 = 0. Calculate k.
-4, -1, 0
Suppose m = 2*m + 3*z - 259, -5*z + 769 = 3*m. Factor 11*s**4 - 243*s**3 - 106*s**2 - 49 + s**5 + m*s**3 + 170*s - 37*s.
(s - 1)**3*(s + 7)**2
Let -351/5*m**2 + 21/5*m**3 + 1284/5*m + 396/5 = 0. Calculate m.
-2/7, 6, 11
Let w be (-1763377)/(-500973) + 2/17 - 3. Let s = w - -14/141. Factor -s*q - 12/19 - 2/19*q**2.
-2*(q + 1)*(q + 6)/19
Let t(c) be the first derivative of c**8/2184 - 30*c**2 - 22. Let k(b) be the second derivative of t(b). Factor k(j).
2*j**5/13
Find z such that -4*z**3 - 536*z**4 - 218095*z**2 + 4*z**5 - 2*z + 2*z + 218631*z**2 = 0.
-1, 0, 1, 134
Let v = -27431 - -54865/2. Factor -2 + 1/4*z**4 + v*z**2 + z - 5/4*z**3.
(z - 2)**3*(z + 1)/4
Suppose -275/8 - 1/8*p**3 + 261/8*p + 15/8*p**2 = 0. What is p?
-11, 1, 25
Suppose 115*x**3 + 696 - 441*x**2 - 65*x - 3*x**4 + 31*x + 32*x + 152*x - 13*x**3 = 0. Calculate x.
-1, 2, 4, 29
Let s(h) be the third derivative of 31*h**2 + 0*h + 11/180*h**6 + 0 + 2/315*h**7 + 1/9*h**3 + 25/144*h**4 + 3/20*h**5. Factor s(r).
(r + 4)*(2*r + 1)**3/6
Let f be (65/(70200/96))/(10/2900). Determine s, given that -4/9*s**2 - 3364/9 - f*s = 0.
-29
Let i(w) be the second derivative of w**4/36 + 5*w**3 - 92*w**2/3 - 2882*w. Suppose i(r) = 0. Calculate r.
-92, 2
Let d = 1013107/132 - 7675. Let g(r) be the third derivative of 0*r + 0 - d*r**4 + 1/330*r**5 + 16*r**2 + 2/11*r**3. Factor g(m).
2*(m - 6)*(m - 1)/11
Let d(m) be the second derivative of -m**6/45 - 16*m**5/15 + 35*m**4/6 + 7*m - 97. Let d(w) = 0. Calculate w.
-35, 0, 3
Let b be (-5 - (-95)/20) + (-19551)/(-12). Factor -10 - b*o + 1614*o + 5*o**2 + 7*o**3 + 5*o**4 + 8*o**3.
5*(o - 1)*(o + 1)**2*(o + 2)
Let n = -9377856/5 + 1875600. Suppose -4/5*s**5 + 0*s**2 + 48/5*s**4 + 0*s + 0 - n*s**3 = 0. What is s?
0, 6
Let h(m) = -15*m**5 + 67*m**4 + 604*m**3 + 332*m**2 - 1393*m + 403. Let p(o) = o**4 - 3*o**3 + o**2 + o - 1. Let g(t) = -h(t) + 2*p(t). Solve g(b) = 0.
-3, 1/3, 1, 9
Suppose -40*n**2 - 230*n - 200 - 51*n**2 + 98*n**2 - 32*n**2 + 5*n**3 + 0*n**3 = 0. What is n?
-4, -1, 10
Let p be ((-89)/((-32396)/(-234)))/((-1)/(1 + 6)). Solve p*o**3 - 3/4*o**4 + 3*o + 0 - 27/4*o**2 = 0.
0, 1, 4
Let s(k) be the third derivative of 1141*k**5/150 - k**4/30 - 2*k**2 - 841*k. Factor s(u).
2*u*(1141*u - 2)/5
Let l(d) be the third derivative of d**6/400 - d**5/120 - d**4/60 + d**3/15 - 2594*d**2. Suppose l(i) = 0. Calcul