*3 + 24 - 11*y**n + 5*y**3 + 64*y**2 - 122*y.
-4*(y - 3)*(y - 2)*(3*y - 1)
Let n(b) = -24*b - 4321*b**2 - 13*b + 4322*b**2 + 212. Let h be n(7). Let 1/2*d**h + 0*d + 0 - 1/4*d**3 - 1/4*d**4 = 0. Calculate d.
-2, 0, 1
Let r be (-12924)/(-108) - (2 - (-7)/(-3)). Determine x, given that -r*x - 1593 + 4*x**2 - 12*x + 1593 = 0.
0, 33
Factor 0*k - 64 - 1/4*k**5 + 15/4*k**4 - 20*k**3 + 40*k**2.
-(k - 4)**4*(k + 1)/4
Suppose 27*b - 1 - 53 = 0. Let l(n) be the first derivative of 7/20*n**4 - 1 + 2/15*n**3 - 2/5*n - 7/10*n**b. Factor l(o).
(o - 1)*(o + 1)*(7*o + 2)/5
Let m(j) = 5*j**3 - 43*j**2 + 84*j - 18. Let i(a) = 10*a**3 - 86*a**2 + 168*a - 39. Let k(q) = 6*i(q) - 11*m(q). Solve k(n) = 0.
3/5, 2, 6
Let d(a) = a. Let l(v) = 2*v**3 - 6*v**2 - 10*v. Suppose y + 4*y - 2*s = -1, 0 = 2*y + 5*s - 17. Let o(g) = y*l(g) + 10*d(g). Determine m, given that o(m) = 0.
0, 3
Find r such that -20*r - 282/7*r**2 - 4/7*r**3 + 0 = 0.
-70, -1/2, 0
Let z(y) be the third derivative of 0*y**3 + 3*y**2 - 23/180*y**5 + 0*y**4 + 6 + 0*y + 1/360*y**6. Suppose z(b) = 0. What is b?
0, 23
Let j(y) be the third derivative of y**7/420 + y**6/24 + 23*y**5/120 + 7*y**4/24 - 2072*y**2. Determine u so that j(u) = 0.
-7, -2, -1, 0
Let n(d) be the first derivative of -15/4*d**4 + 5*d**2 + 0*d - 5/3*d**3 - 67. Factor n(g).
-5*g*(g + 1)*(3*g - 2)
Let z = -1/380 - -383/1140. Let t(j) be the second derivative of -36*j + 0 + 4/3*j**3 - z*j**4 + 16*j**2. Solve t(n) = 0 for n.
-2, 4
Let u(x) = 12*x**3 + 102*x**2 - 46*x - 50. Let g(p) = 2*p**3 + p**2 + 5*p + 1. Let c(l) = 2*g(l) - u(l). Let c(q) = 0. Calculate q.
-13, -1/2, 1
Factor 264/13 + 190/13*t - 72/13*t**2 + 2/13*t**3.
2*(t - 33)*(t - 4)*(t + 1)/13
Factor -1/4*x**4 - 117/4*x**3 + 30*x**2 + 0 + 59*x.
-x*(x - 2)*(x + 1)*(x + 118)/4
Let d(k) = 3*k**2 + 7 - 3*k - 3*k - 3*k - 3 + k**3 - 19. Let n be d(-4). Factor -45/2*q**5 - 115*q**3 - 60*q**2 - 85*q**4 + n - 5/2*q.
-5*(q + 1)**4*(9*q - 2)/2
Let r(h) be the second derivative of 163*h**4/20 + 171*h**3/10 + 12*h**2/5 + 4271*h + 1. Factor r(q).
3*(q + 1)*(163*q + 8)/5
Let a(p) be the second derivative of p**4/8 - 187*p**3 + 2241*p**2/4 - 1502*p. Factor a(o).
3*(o - 747)*(o - 1)/2
Let p(x) = x**3 + 383*x**2 - 11507*x - 26. Let n be p(28). Factor 7/2 + 13/2*g + 3*g**n.
(g + 1)*(6*g + 7)/2
Find j, given that 23508*j**2 - 22280*j**2 - 1620 + 792*j - 412*j**3 + 192*j**4 - 580*j**3 = 0.
-1, 5/3, 9/4
Let h(q) be the first derivative of -58564*q**5/35 - 228932*q**4/7 - 1789832*q**3/7 - 6996616*q**2/7 - 13675204*q/7 - 439. Find u such that h(u) = 0.
-43/11
Let t(g) be the first derivative of -89 + 0*g - 8/25*g**5 + 4/5*g**3 + 1/5*g**6 - 17/10*g**4 + 0*g**2. Let t(l) = 0. Calculate l.
-2, 0, 1/3, 3
Let i(m) be the first derivative of -m**7/3780 + m**6/810 + m**5/135 - 2*m**4/27 + 98*m**3/3 + 54. Let y(w) be the third derivative of i(w). Factor y(b).
-2*(b - 2)**2*(b + 2)/9
Let v(u) = -144 + u - 5*u + 110. Let w be v(-9). Factor 2/13*o**w + 6/13 + 8/13*o.
2*(o + 1)*(o + 3)/13
Suppose -2*c + 2 = -5*m, -3*m + 3*c - 51 = -39. Solve g + 1/2*g**m + 1/2 = 0.
-1
Determine q, given that -36218*q**3 + 36202*q**3 - 22*q**4 - 7*q**4 + 4*q**5 - 541 + 5*q**4 + 224*q**2 + 29 = 0.
-2, 2, 4
Let s(q) be the first derivative of -71/12*q**2 + 1/36*q**3 + 5041/12*q + 160. What is z in s(z) = 0?
71
Let h(v) be the third derivative of 3*v**5/20 - 485*v**4/8 - 81*v**3 + 3211*v**2. Factor h(n).
3*(n - 162)*(3*n + 1)
Let j(x) be the second derivative of -5*x**6/3 + 48*x**5 - 279*x**4 - 7208*x**3/3 + 8427*x**2 - 628*x - 3. Let j(i) = 0. Calculate i.
-3, 1, 53/5
Suppose -4*z - q + 188 = 0, 0 = z - 4*q - 52 - 12. Let s be 2/z*6 - 102/(-8). Let 982*g**2 - 7 + 5*g - s*g - 983*g**2 = 0. Calculate g.
-7, -1
Let d(i) = -2*i**4 + 14*i**3 + 4*i**2. Let g(r) = -2*r**3 - r**2. Suppose 6*b - 3 + 27 = 0. Let f(q) = b*g(q) - d(q). Let f(o) = 0. Calculate o.
0, 3
Let l(w) = -27*w**3 + 216*w**2 + 267*w - 24. Let z(d) = -11*d**3 + 86*d**2 + 107*d - 10. Let r(v) = 5*l(v) - 12*z(v). Factor r(i).
-3*i*(i - 17)*(i + 1)
Let d(n) be the second derivative of 3*n**5/40 + 157*n**4/2 + 24649*n**3 + 2*n - 973. Factor d(g).
3*g*(g + 314)**2/2
Let c(v) = 59*v**2 - 130*v - 544. Let a(i) = 324*i**2 - 649*i - 2720. Let o(h) = -2*a(h) + 11*c(h). Factor o(b).
(b - 136)*(b + 4)
Factor -12/7*a**2 + 2/7*a**3 + 0*a + 64/7.
2*(a - 4)**2*(a + 2)/7
Factor -1496/9*n - 1502/3 + 2/9*n**2.
2*(n - 751)*(n + 3)/9
Let q be 346/1211 + (2*-1 + 5)/14. Let y = 71/2 - 35. Let -q + 0*r + y*r**2 = 0. Calculate r.
-1, 1
Let u(d) = 946 - 1891 + 3*d - 2*d**2 + 947. Let m be u(0). Suppose 4/11*l - 2*l**3 - 14/11*l**4 + 18/11*l**5 + 0 + 14/11*l**m = 0. Calculate l.
-1, -2/9, 0, 1
Let b = -489 + 490. Suppose 0 = -3*m - 4*j - b, -2*m - 5*j = 71 - 61. Let -306/5*t - 124/5*t**3 + 76/15*t**4 + 108/5 + 288/5*t**2 - 2/5*t**m = 0. Calculate t.
2/3, 3
Let i = -881808/7 - -125973. Find z, given that 9/7*z**3 - 12/7 - i*z**2 - 24/7*z = 0.
-1, -2/3, 2
Suppose 2*b = -0*p + 3*p - 11, -5*p + 18 = -3*b. Factor 3*h - 15*h + 191*h**3 - 187*h**p - 8*h**2.
4*h*(h - 3)*(h + 1)
Let l(t) be the third derivative of -2*t**5/105 + 31*t**4/84 + 188*t**3/21 - t**2 + 4046. Find p such that l(p) = 0.
-4, 47/4
Suppose -38*p - 3*t + 12 = -20*p, -3*t + 12 = 0. Let p - 3/5*b**2 - 27/5*b = 0. Calculate b.
-9, 0
Let j(s) be the second derivative of s**8/168 + 11*s**7/105 - s**6/5 + 21*s**2/2 - 9*s. Let t(y) be the first derivative of j(y). Factor t(g).
2*g**3*(g - 1)*(g + 12)
Let r(h) = h**2 - 5*h + 7. Let f be r(4). Suppose -z + 3*j = -2, -z - f*j - 2 = -4. What is k in 0*k + 0 + 2/13*k**z = 0?
0
Suppose 778/5*l + 156 - 2/5*l**2 = 0. Calculate l.
-1, 390
Let o(w) = -2*w**4 + 384*w**3 - 13724*w**2 - 451952*w - 2770656. Let q(f) = -8*f - 1. Let l(a) = o(a) + 2*q(a). What is d in l(d) = 0?
-11, 107
Let a(w) = -7*w**3 - 102*w**2 - 273*w - 131. Let j(p) = -50*p**3 - 715*p**2 - 1920*p - 915. Let r(s) = -20*a(s) + 3*j(s). Factor r(h).
-5*(h + 5)**2*(2*h + 1)
Solve -2/13*v**3 + 2202/13*v - 358/13*v**2 - 3330/13 = 0 for v.
-185, 3
Find k such that 12*k + 9*k + 44*k - 150 + 16*k**2 - 21*k**2 = 0.
3, 10
Suppose 0 = -21*k + 2*k - 1520. Let p be k/48 + 179/21. Factor -4/7*i**2 - p*i - 144/7.
-4*(i + 6)**2/7
Let d be (9 + -4 + -2)*8/16. Let u(y) be the first derivative of -6*y**2 + d*y**4 + 9*y - 17 - y**3. Factor u(q).
3*(q - 1)**2*(2*q + 3)
Suppose 14 = -4*i + 11*i. Factor -8*u**3 - 13*u**3 + 3*u**4 - 22*u**2 - 27*u + 67*u**i.
3*u*(u - 3)**2*(u - 1)
Let a(u) be the third derivative of -5*u**8/336 - u**7/21 + 5*u**6/8 - 363*u**2. Let a(d) = 0. Calculate d.
-5, 0, 3
Let k(j) be the first derivative of -j**7/42 - 7*j**6/12 - 11*j**5/12 + 65*j**4/12 - 181*j**2/2 - 110. Let l(y) be the second derivative of k(y). Factor l(m).
-5*m*(m - 1)*(m + 2)*(m + 13)
Let w(u) be the third derivative of u**6/900 - 77*u**5/90 + 37627*u**4/180 - 36481*u**3/15 + 100*u**2 + u + 2. Solve w(b) = 0.
3, 191
Let q = 89831 - 89829. Factor -3/5*w**q + 21/5 + 18/5*w.
-3*(w - 7)*(w + 1)/5
Let z(l) = l**3 - 5*l**2 - 7*l + 4. Let m be z(6). Let b be (0 - (1 - m))*8/(-12). Factor 2/9*v**b - 2/9 + 0*v.
2*(v - 1)*(v + 1)/9
Let t(x) be the second derivative of x**6/6 + 33*x**5/4 + 75*x**4/2 - 10*x**3/3 - 300*x**2 - 245*x. Factor t(r).
5*(r - 1)*(r + 2)**2*(r + 30)
Suppose -106*u + 180 + 288 = -62. Let q(f) be the third derivative of 28/3*f**3 - 1/10*f**u - 10/3*f**4 - 14*f**2 + 0 + 0*f. Factor q(h).
-2*(h + 14)*(3*h - 2)
Determine d so that -17284 + 5932*d - 144*d**4 - 8360*d**2 - 4480*d + 1808*d**3 + 4*d**5 + 70524 = 0.
-2, 5, 11
Let n(i) be the first derivative of -i**3/9 - 105*i**2 - 33075*i + 248. Let n(w) = 0. Calculate w.
-315
Factor 1129 - 568 - 115*m**2 - 561 - 45*m**4 - 175*m**3 + 15*m.
-5*m*(m + 1)*(m + 3)*(9*m - 1)
Let q(k) be the third derivative of 0*k + 19*k**2 + 2 + 1/1050*k**7 - 1/120*k**6 - 1/3*k**3 - 1/100*k**5 + 17/120*k**4. Factor q(u).
(u - 5)*(u - 1)**2*(u + 2)/5
Factor -217/2*o - 1/4*o**2 - 47089/4.
-(o + 217)**2/4
Let m(b) = -13*b**2 + 10560*b - 5575684. Let w(a) = -50*a**2 + 42240*a - 22302735. Let s(f) = -15*m(f) + 4*w(f). Find r, given that s(r) = 0.
1056
Suppose 253 = 149*v + 584 - 778. Factor -24/7*g - 2/7*g**5 - 78/7*g**v - 74/7*g**2 + 0 - 30/7*g**4.
-2*g*(g + 1)**3*(g + 12)/7
Let x = 19/5 + 527/10. Let k = 803/14 - x. Factor 2/7*a**2 + 6