*4 - 508*t**3/3 + 506*t**2 + 3*t + 79. Solve p(k) = 0 for k.
-1, 1, 253
Suppose 63*q = 35*q + 41*q - 52. Let a(u) be the third derivative of 0*u**3 - 12*u**2 + 0*u + 1/12*u**5 - 1/15*u**6 + 1/8*u**q + 0. What is n in a(n) = 0?
-3/8, 0, 1
Let y(s) = -11*s + 125. Let q be y(11). Solve 0*f**3 - f**4 + 14*f - 4*f**3 + 3*f**q + 12*f**3 + 18*f**2 + 2*f**3 + 4 = 0 for f.
-2, -1
Let 23/6*x**2 + 15/2*x - 1/3 = 0. What is x?
-2, 1/23
Factor -2231/3*g**2 - 15987/2 - 5110*g - 1/6*g**4 + 70/3*g**3.
-(g - 73)**2*(g + 3)**2/6
Factor 116154/5*w - 192*w**2 - 228484/5 + 2/5*w**3.
2*(w - 239)**2*(w - 2)/5
Let u(k) = -3*k**3 - 10*k**2 - 17*k + 2. Let n(v) = -29*v - 7*v**3 - 22*v**2 - 6*v + v**2 + 5. Let y(x) = 2*n(x) - 5*u(x). Factor y(l).
l*(l + 3)*(l + 5)
Let l(f) = -f**2 + 16*f + 20. Let i be l(17). Suppose -x + 20 = i*x. Determine u so that 26*u**3 - 83*u**3 - 10*u + 32*u**3 + 30*u**3 - x*u**2 = 0.
-1, 0, 2
Let c = -29 + 25. Let l be (16/12)/(c/(-6)). Factor 70*r - 18 - l - 15*r**2 - 20.
-5*(r - 4)*(3*r - 2)
Let d(s) be the first derivative of s**4/48 + s**3/12 + 73*s - 21. Let i(a) be the first derivative of d(a). Factor i(z).
z*(z + 2)/4
Let j(n) = 2*n**3 - n**2 - n + 5. Let o(p) = 6*p**3 + 14*p**2 + 2*p - 15. Let b(l) = -3*j(l) - o(l). Factor b(x).
-x*(x + 1)*(12*x - 1)
Let x be (12/14)/((40/105)/4). Determine b, given that x*b**2 - 7*b**2 + 59*b - 45*b + 12 = 0.
-6, -1
Let o = -208986 - -11494556/55. Let z = 74/11 - o. Solve 2/5*i**5 + 4/5*i**4 + 4/5 - z*i**3 - 8/5*i**2 + 2/5*i = 0.
-2, -1, 1
Suppose 2*v + 204*b - 205*b = 15, 5*v + 4*b = -34. Factor -18/5*t**4 + 0 + 39/5*t**3 - 36/5*t**v + 12/5*t + 3/5*t**5.
3*t*(t - 2)**2*(t - 1)**2/5
Let k = -18547/5 - -3710. Let b(p) be the first derivative of p**3 + 0*p - 15 - 9/4*p**4 + 9/2*p**2 - k*p**5. Factor b(h).
-3*h*(h - 1)*(h + 1)*(h + 3)
Let c(o) be the third derivative of o**8/6720 - o**7/2520 - o**4/24 + o**3 - 2*o**2 - 11. Let i(p) be the second derivative of c(p). Factor i(a).
a**2*(a - 1)
Let t(g) be the second derivative of g**5/20 + 13*g**4 - 105*g**3/2 + 79*g**2 + 831*g + 1. Find h such that t(h) = 0.
-158, 1
Factor -1935*j + 77874 + 4*j**2 - 117*j + 736449 - 1074*j - j**2.
3*(j - 521)**2
Let b(s) = 87*s - 163*s - 46 + 57*s - s**2. Let i be b(-3). Factor -11/2*k + 1/2*k**i + 5.
(k - 10)*(k - 1)/2
Let h(l) be the third derivative of -l**7/630 + 2*l**6/45 - 23*l**5/60 + 3*l**4/4 - l**2 - 577*l. Factor h(c).
-c*(c - 9)*(c - 6)*(c - 1)/3
Let f be ((-6411)/(-351) - (-1704)/1917) + -19. Factor 8/13 - 8/13*t**2 - 2/13*t + f*t**3.
2*(t - 4)*(t - 1)*(t + 1)/13
Find a, given that -40/7 + 6*a**2 + 16/7*a**3 - 16/7*a - 2/7*a**4 = 0.
-2, -1, 1, 10
Let n(p) be the first derivative of -1/10*p**4 + 17 + 12/5*p**2 + 1/10*p**6 + 0*p - 19/25*p**5 + 44/15*p**3. Solve n(d) = 0.
-1, -2/3, 0, 2, 6
Find s such that 3/7*s**3 - 9*s**2 + 1296/7 - 534/7*s = 0.
-8, 2, 27
Factor -13252/9*m + 1768/3 - 20/9*m**2.
-4*(m + 663)*(5*m - 2)/9
Let r(i) be the first derivative of -i**6/2 - 159*i**5/5 + 298. Factor r(j).
-3*j**4*(j + 53)
Let m = 152 + -149. Suppose -14*z**m - 189*z**2 - 14*z**3 - 13*z**3 - 3*z**4 + 243*z - 10*z**3 = 0. Calculate z.
-9, 0, 1
Let d(n) be the second derivative of 5*n - 6 - 1/50*n**5 - 1/6*n**4 - 3/5*n**2 - 7/15*n**3. Suppose d(l) = 0. Calculate l.
-3, -1
Let h = -1186919/84 + 14130. Let j(t) be the second derivative of 0*t**3 + 0 + 0*t**2 - 6*t + h*t**4. Find f, given that j(f) = 0.
0
Suppose 0 = 87*h + 32 - 293 - 174. Let r(u) be the second derivative of -2/3*u**4 + 0 - 6*u**2 - 1/10*u**h + 36*u + 11/3*u**3. Suppose r(y) = 0. What is y?
-6, 1
Suppose 4424 = 4*k + 5*h, 3 = -4*h - 13. Determine d, given that -61*d**2 - d**3 + 1101*d + 11*d**3 - k*d + 85*d**4 - 24*d**2 = 0.
-1, -2/17, 0, 1
Factor -2*k**2 + 791806 + 3544*k - 1044062 - 1317736.
-2*(k - 886)**2
Solve 70/13*q + 2/13*q**3 + 50/13 + 22/13*q**2 = 0 for q.
-5, -1
Let h be -5 - (-20 - -4) - 6 - 12/6. Determine j, given that -j**2 + 1/2*j**4 + 0 + 0*j + 1/2*j**h = 0.
-2, 0, 1
Let z(y) be the second derivative of y**5/10 + 3*y**4/2 - 760*y**3/3 - 768*y**2 - 22*y - 88. Determine h so that z(h) = 0.
-32, -1, 24
Let b(f) be the second derivative of -f**4/3 - 4*f**3 + 54*f**2 - 3199*f. What is w in b(w) = 0?
-9, 3
Let a(u) = -66*u**2 + 28503*u - 5396949. Let k(o) = -5*o**2 + 2194*o - 415150. Let r(b) = -2*a(b) + 27*k(b). Factor r(l).
-3*(l - 372)**2
Let l(z) be the second derivative of -z**7/21 - 7*z**6/15 - 13*z**5/10 - z**4/6 + 14*z**3/3 + 8*z**2 + 144*z. Let l(x) = 0. Calculate x.
-4, -2, -1, 1
Let g(x) be the first derivative of -x**4/8 + 157*x**3/6 + 79*x**2/2 - 5985. Factor g(d).
-d*(d - 158)*(d + 1)/2
Suppose c = 2*d - 973, 5*c - 2273 = -3*d - 846. Let w = d + -482. Find l such that -14/11*l**w - 2/11*l**5 - 18/11*l**3 - 4/11*l - 10/11*l**4 + 0 = 0.
-2, -1, 0
Let f(w) = 7*w**3 - 22*w**2 - 265*w - 716. Let d(q) = 33*q**3 - 109*q**2 - 1325*q - 3583. Let t(v) = 3*d(v) - 14*f(v). Factor t(n).
(n - 29)*(n + 5)**2
Let v(d) = -6*d**3 - 714*d**2 + 4*d + 8. Let u(n) = 16*n**3 + 2141*n**2 - 11*n - 22. Let t(m) = -4*u(m) - 11*v(m). Determine q, given that t(q) = 0.
0, 355
Let a(z) = z. Suppose 22 = -2*u + 26. Let d be a(u). What is q in 8*q + 11 + 2*q**2 - d - 1 = 0?
-2
Suppose -5*g + 25 = 2*x - 33, x - 3*g = 40. Let -2*t + t**4 - 29*t**2 + 3*t**3 + x*t**2 - t**5 - 6*t**2 = 0. What is t?
-1, 0, 1, 2
Let m(j) be the third derivative of 2*j**7/105 + 31*j**6/5 + 2883*j**5/5 - 553*j**2. Determine q, given that m(q) = 0.
-93, 0
Suppose 32*b - 360 = -232. Let h(u) be the first derivative of 10 + 1/5*u**b - 2/15*u**3 - 2/25*u**5 + 0*u + 0*u**2. Factor h(w).
-2*w**2*(w - 1)**2/5
Let p(q) = -4*q - 82. Let j be p(-21). Factor -3*i**j + 2*i - 3 + 9*i**2 - 5*i**2 + 0*i.
(i - 1)*(i + 3)
Let a(p) be the first derivative of -p**6/27 + 80*p**5/9 - 5099*p**4/9 + 4400*p**3/3 - 1089*p**2 + 888. Determine w so that a(w) = 0.
0, 1, 99
Solve -53 - 267/2*b - 5/2*b**2 = 0.
-53, -2/5
Let t(b) be the third derivative of b**7/840 + b**6/18 - 7*b**5/40 + 40*b**3 - 66*b**2. Let h(p) be the first derivative of t(p). Let h(y) = 0. Calculate y.
-21, 0, 1
Let p(v) = 912*v**2 - v - 1. Let k be p(-1). Suppose k = -3*i + 921. Solve 0 - 8/3*n**5 + 14/3*n**2 - 2/3*n + 26/3*n**4 - 10*n**i = 0.
0, 1/4, 1
Determine r, given that 1212/7*r + 183618/7 + 2/7*r**2 = 0.
-303
Let t(k) be the third derivative of 3*k**6/20 - 314*k**5/15 - 35*k**4/3 + 19*k**2 - 2. Factor t(f).
2*f*(f - 70)*(9*f + 2)
Let y be (-34)/(-24) + ((-32)/112 - (-26)/(-56)). Let l(z) be the second derivative of 4/9*z**3 + 7*z + 0 - 5/36*z**4 + 1/60*z**5 - y*z**2. Factor l(k).
(k - 2)**2*(k - 1)/3
Let g(t) be the third derivative of t**5/20 + 213*t**4/8 - 107*t**3 - t**2 + 49*t + 14. Factor g(s).
3*(s - 1)*(s + 214)
Let c(l) be the second derivative of 121*l**7/21 - 44*l**6/3 - 21*l**5/10 + 110*l**4/3 - 100*l**3/3 + 1628*l + 1. Find q, given that c(q) = 0.
-1, 0, 10/11, 1
Let h(t) = -5*t - 157. Let m be h(-32). Suppose 12*q - 14*q = -5*x + 25, -q = m*x - 4. Suppose -44/7*y - 24/7 + 8/7*y**x + 12/7*y**2 = 0. What is y?
-3, -1/2, 2
Let v(b) = -952*b**2 - 12000*b + 3430. Let y(d) = -339*d**2 - 3999*d + 1143. Let h(z) = 5*v(z) - 14*y(z). Factor h(j).
-2*(j + 287)*(7*j - 2)
Let b = 105 + -99. Solve q - 25*q**2 + 5*q - b + 24*q**2 - q = 0 for q.
2, 3
Let k(f) be the first derivative of 5*f**6/6 + 5*f**5 + 15*f**4/2 - 10*f**3/3 - 35*f**2/2 - 15*f - 269. Factor k(q).
5*(q - 1)*(q + 1)**3*(q + 3)
Let x = 165 + -165. Factor x + 42*u - 14 + 14 - 3*u**2.
-3*u*(u - 14)
Let s(f) = 13*f**2 - 1. Let g(i) = -3*i**2 + i - 1. Let t(y) = 20*g(y) + 5*s(y). Factor t(l).
5*(l - 1)*(l + 5)
Let z(c) be the third derivative of 4*c**5/15 - 77*c**4/6 + 60*c**3 - 789*c**2. Factor z(w).
4*(w - 18)*(4*w - 5)
Let g be -64 + (-40 - -56) + 51. Factor -12996*x - 912*x**2 - 64/3*x**g - 61731.
-(4*x + 57)**3/3
Let h = -105124/11 + 9557. Let s(q) be the first derivative of -2/11*q**3 + 5 + 1/22*q**4 + h*q**2 - 2/11*q. Factor s(c).
2*(c - 1)**3/11
Solve -141/2 - 1/4*d**2 - 53/4*d = 0.
-47, -6
Let h be (-9)/(-4) + 1/8*(14 - 30 - -14). Factor -2/3 - j - 1/3*j**h.
-(j + 1)*(j + 2)/3
Suppose 8*j - 11*j + 6 = 0, -2*t - 4*j = 10. Let x be 669/(-9)*(51/(-5) - t). Find f such that 20*f**3 + 6/5*f**4 + 224/5*f + x*f**2 - 128/5 = 0.
-8, -1, 1/3
Let t be 238/272*-40 + 37. Factor 0 - 1