the third derivative of d**8/60480 - d**7/126 + 5*d**6/3 - 38*d**5/15 - 12*d**2 - 3. Let a(x) be the third derivative of l(x). Factor a(m).
(m - 60)**2/3
Let n be 1/(-5) - (-5598)/90. Suppose 56*p - n = 54*p. Determine x so that 5*x**2 + 11 - 30*x + p - 2 = 0.
2, 4
Let p(d) = -1975*d + 47403. Let q be p(24). Factor -26/3*s**q + 17/6*s**2 + 1/2*s**4 + 0 + 0*s.
s**2*(s - 17)*(3*s - 1)/6
Let y be 4*(-35)/14 + (31 - 27) + 11 + -1. Solve 35/2*p**2 + 1/2*p**y + 17/2*p + 0 + 19/2*p**3 = 0.
-17, -1, 0
Suppose 192/11*q**2 + 190/11*q**3 - 200/11*q - 96/11*q**4 - 96/11 + 10/11*q**5 = 0. What is q?
-1, -2/5, 1, 4, 6
Let u(z) = 9*z**2 + 504*z + 495. Let l(n) = 11*n**2 + 508*n + 497. Let f(o) = 4*l(o) - 5*u(o). Factor f(a).
-(a + 1)*(a + 487)
Let v(f) be the first derivative of f**3/5 - 21*f**2/10 + 6*f + 413. Let v(m) = 0. What is m?
2, 5
Let p(d) be the third derivative of d**11/332640 - d**9/20160 + d**8/10080 - d**5/4 - 3*d**2 + d. Let r(x) be the third derivative of p(x). Factor r(c).
c**2*(c - 1)**2*(c + 2)
Let c = 263/314 + 247/3454. Solve -128/11 + c*f**3 - 334/11*f**2 + 452/11*f = 0.
2/5, 1, 32
Suppose 3*x = x + 6. Let b(p) = -p**2 + 10*p. Let t be b(x). Suppose -3*z**3 + 9*z - 23*z + 36 - 34*z + t*z**2 = 0. What is z?
2, 3
Suppose -b + 4*b = -n + 17, 2*b + 5*n = 20. What is p in 7*p**4 - 6*p + 7*p**3 + 4*p**4 - p**2 - 10*p**4 - p**b = 0?
-2, -1, 0, 1, 3
Find a such that -156*a + 12168 + 1/2*a**2 = 0.
156
Factor 717*g - 5*g**3 - 68*g - 310*g + 174*g**2 + 8*g**3 + 168.
3*(g + 1)**2*(g + 56)
Suppose -437 - 850 = -11*n. Factor -5*x**3 - 117*x + n*x + 3*x**3 + 32*x**2.
-2*x**2*(x - 16)
Let m = 43 - 32. Suppose 412 = m*d - 281. Factor -d*h**5 - 57*h**5 + h**3 + 121*h**5 - 2*h**4.
h**3*(h - 1)**2
Let d = 2395834/3 - 798610. Factor 200/3 - 4/3*n + d*n**3 - 200/3*n**2.
4*(n - 50)*(n - 1)*(n + 1)/3
Determine a so that 22/15*a**3 - 2/15*a**4 - 4/3*a**2 + 0*a + 0 = 0.
0, 1, 10
Let m = 1047 + 311. Let f = m - 2701/2. Find i such that 5*i - f*i**2 + 0 + 5/2*i**3 = 0.
0, 1, 2
Let i(h) be the third derivative of -10*h**3 - 1/12*h**5 + 0*h + 35/24*h**4 - 1 - 66*h**2. Factor i(p).
-5*(p - 4)*(p - 3)
Let c(v) be the second derivative of -v**5/20 - 9*v**4/8 - 7*v**3 - 39*v**2/2 + 16*v. Let a(l) be the first derivative of c(l). Factor a(w).
-3*(w + 2)*(w + 7)
Let p be ((8/12)/1)/((-11)/(-33)). Suppose -p*g - 6 = 3*m, -5*m + 39 = 4*g + 51. Determine t so that 0*t**2 - 1/3*t**3 + 0 + 1/3*t**4 + m*t = 0.
0, 1
Let f(v) be the second derivative of -18*v**2 - 289/3*v**4 + 45*v + 68*v**3 + 0. Factor f(a).
-4*(17*a - 3)**2
Let r(v) be the first derivative of 32 + 2*v**2 + 2/3*v**3 + 0*v. Factor r(u).
2*u*(u + 2)
Suppose 2*t + 6 = 2*l + 172, 5*t + 2*l - 394 = 0. Let a = t + -78. Determine i, given that 0*i**4 + 15*i**3 - 5*i**2 + a*i**4 - 14*i**3 + 2*i = 0.
-2, 0, 1/2, 1
Let 348/7*z - 6/7*z**4 + 144/7 + 258/7*z**2 + 48/7*z**3 = 0. What is z?
-2, -1, 12
Factor 29559/4*u**2 - 128079*u + 3/4*u**4 + 477603 + 321/2*u**3.
3*(u - 7)**2*(u + 114)**2/4
Suppose 5*b + 5 = 35. Let t(l) = b*l**3 - 33*l - 5*l**2 + 8*l**2 + 9*l + 9. Let k(f) = 7*f**3 + 2*f**2 - 25*f + 8. Let g(n) = -3*k(n) + 4*t(n). Factor g(u).
3*(u - 1)**2*(u + 4)
Let u(x) be the third derivative of -x**6/200 + 67*x**5/50 - 53*x**4/8 + 66*x**3/5 + 2061*x**2. Factor u(k).
-3*(k - 132)*(k - 1)**2/5
Solve 34*v**2 - 276*v**2 + 248*v**2 - 15*v**3 + 648 + 1089*v = 0.
-8, -3/5, 9
Let r(d) = -4*d**2 + 39*d - 19. Let z(f) = -7*f**2 + 78*f - 40. Let b(s) = 5*r(s) - 2*z(s). Let i be b(6). Find h such that 0 - 1/8*h**i - 3/8*h**2 - 1/4*h = 0.
-2, -1, 0
Let o(s) = 3*s**2 + 21*s - 29. Let y(b) = -9*b + 2*b**2 - 15 - 9*b + 29*b. Let z(i) = -3*o(i) + 5*y(i). Let z(n) = 0. Calculate n.
2, 6
Let 2*q**4 + 7*q**3 - 6*q**2 - 15487*q + 15472*q + 5*q**2 - 9 = 0. Calculate q.
-3, -1, 3/2
Let u(b) = 108*b**2 - 2837*b - 700. Let t(w) = -40*w**2 + 946*w + 233. Let r(j) = -8*t(j) - 3*u(j). Factor r(d).
-(d - 236)*(4*d + 1)
Let w = -248 + 222. Let h(n) = n + 170. Let j be h(w). Factor -2128/3*i**2 - 32/3 + j*i - 686*i**4 - 2401/3*i**5 + 4312/3*i**3.
-(i + 2)*(7*i - 2)**4/3
Let x = 7544/3545 + 696610592/24815. Factor 340/7*g**4 + x*g**2 + 4/7*g**5 + 5679428/7 + 1670420/7*g + 11560/7*g**3.
4*(g + 17)**5/7
Factor -7*l**2 + 15*l**3 + 4*l**4 - 635*l**5 - 5*l**2 - 6*l**2 + 634*l**5.
-l**2*(l - 6)*(l - 1)*(l + 3)
Let l(f) be the third derivative of f**6/900 - 82*f**5/225 + f**2 - 152*f. Solve l(h) = 0 for h.
0, 164
Let d be (-11 - -13) + (-2)/(-1) + -2. Find w, given that 26 - 124*w**d + 42 + 120*w**2 - 64*w = 0.
-17, 1
Let s(v) be the third derivative of -1/180*v**5 - 1/36*v**4 + 2 - 7*v**2 - 1/18*v**3 + 0*v. Factor s(g).
-(g + 1)**2/3
Let m(q) = 6*q**2 - 17*q - 4. Let j(x) = -x**2 + x + 3. Suppose -137 + 135 = 2*s. Let f(b) = s*m(b) - 5*j(b). Find n, given that f(n) = 0.
1, 11
Let n(i) = -16*i**2 - 34*i + 26. Let w(a) = 14*a**2 + 35*a - 27. Let v(h) = 3*n(h) + 2*w(h). Let p(z) = -z**2 - 1. Let j(s) = -24*p(s) + v(s). Factor j(t).
4*(t - 6)*(t - 2)
Let v(t) be the second derivative of t**5/100 + 2*t**4 - 41*t**3/10 - 121*t**2/5 + 4318*t. Let v(k) = 0. What is k?
-121, -1, 2
Let q(f) be the first derivative of -f**3/9 + 27*f**2/2 - 78*f + 4579. Find g, given that q(g) = 0.
3, 78
Let h(s) be the second derivative of 0 - 5/2*s**3 - 3/20*s**5 - s**4 + 29*s - 3*s**2. Factor h(i).
-3*(i + 1)**2*(i + 2)
Let z be (-3 + 3)/(-81 + 84). Let l(y) be the second derivative of -3/20*y**5 + 0 + 2/3*y**3 + z*y**2 + 0*y**4 + 11*y + 1/30*y**6. What is v in l(v) = 0?
-1, 0, 2
Suppose 2*a - v - 30 = 48, a + v = 45. Factor -8*p + a*p - 356 - 2*p**2 + 43*p - 12 - 354.
-2*(p - 19)**2
Suppose -y - 2*v - 2 = 0, 7*y = -19*v + 15*v + 16. Factor 26/17*j + 46/17*j**3 - 14/17*j**y - 4/17 - 54/17*j**2.
-2*(j - 1)**3*(7*j - 2)/17
Let t(z) = 5*z**2 + 351*z - 9. Let d(g) = -g**2 + g + 3. Let w(h) = -3*d(h) - t(h). Find j such that w(j) = 0.
-177, 0
Let q = 5877 + -17107/3. Let h = 175 - q. Solve -2/3*t**2 + 2/3 + 4/3*t**3 - t - h*t**5 + 0*t**4 = 0.
-2, -1, 1
Let u = -292641 + 292644. Solve -u*z + 3*z**2 + 3/4 = 0 for z.
1/2
Let w(s) = -270*s**3 - 855*s**2 + 10*s + 15. Let a(o) = o**4 + 270*o**3 + 855*o**2 - 12*o - 18. Let d(z) = -5*a(z) - 6*w(z). Factor d(m).
-5*m**2*(m - 57)*(m + 3)
Let i(b) = -4*b - 20. Let h be i(-5). Suppose -4*w + 8 = -t + 84, h = 2*t - 4*w - 152. Factor 37*m + 45*m + 8*m**3 + m**4 + 13*m**2 - t*m.
m*(m + 1)**2*(m + 6)
Factor 2/13*l**3 - 36/13*l**2 - 84/13 - 122/13*l.
2*(l - 21)*(l + 1)*(l + 2)/13
Suppose 18225*q**3 + 414*q**4 + 268325*q**5 - 9*q**4 - 268322*q**5 + 273375*q**2 = 0. Calculate q.
-45, 0
Let q be (54*(-77)/4158)/((-62)/28 - (0 + -2)). Factor -14/3*a**2 + 10 + q*a + 2/3*a**3.
2*(a - 5)*(a - 3)*(a + 1)/3
Let b(f) = -f**3 + 15*f**2 + 20*f - 116. Let y(m) = 5*m**3 - 76*m**2 - 100*m + 596. Let p(r) = -11*b(r) - 2*y(r). Suppose p(l) = 0. Calculate l.
-3, 2, 14
Let u(j) be the first derivative of 1/3*j**6 + 7*j**4 - 39*j**2 + 75 + 40/3*j**3 - 16/5*j**5 - 72*j. Suppose u(n) = 0. Calculate n.
-1, 3, 4
Let k(m) be the first derivative of -1/8*m**4 - 208 - 7/4*m**2 - 9*m + 5/3*m**3. Factor k(b).
-(b - 9)*(b - 2)*(b + 1)/2
Let d(y) be the third derivative of y**5/20 + 15*y**4/8 + 28*y**3 + 56*y**2 + y. Let d(b) = 0. Calculate b.
-8, -7
Suppose 4*l + 433 = 4*r - r, 2*l = 3*r - 437. Let g be 46/35 - (-7)/r*6. Factor 0*k + 4/5*k**2 - g*k**3 + 0 + 4/5*k**4.
4*k**2*(k - 1)**2/5
Let v(g) = -7*g**2 - 86*g - 1157. Let p = 238 + -234. Let z(q) = 6*q**2 + 88*q + 1156. Let n(l) = p*v(l) + 5*z(l). Factor n(c).
2*(c + 24)**2
Let b(j) = -80*j + 73*j - 21*j**2 + 19*j**2 - j**3. Let i(r) = -r**2 - r. Suppose 4*g = -3*z - 5, -z + 5 = -3*g - 2. Let p(f) = z*b(f) - 5*i(f). Factor p(m).
-m*(m - 2)*(m - 1)
Let j(s) = -2*s**2 + 18904*s - 75581. Let i be j(4). Factor 1/6*l**4 + 23/3 + 139/6*l + 47/2*l**2 + 49/6*l**i.
(l + 1)**3*(l + 46)/6
Suppose -29 - 1 = -10*o. Solve -103*v**2 - 14*v**2 - 2320 - 1521*v - o*v**3 - 2254 - 2017 = 0.
-13
Let b(h) = -29*h - 7. Let d be b(-9). Factor d*g**2 - 130*g**2 - 32*g**3 - 20*g**4 - 4*g**5 - 140*g**2.
-4*g**2*(g + 1)*(g + 2)**2
Factor -12562854/5*j - 6059483246/5 - 2/5*j**3 - 8682/5*j**2.
-2*(j + 1447)**3/5
Let n(f) be the second derivative of f**4/32 - 279*f**3/16 + 417*f**2/8 + 2176*f. Factor n(v).
3*(v - 278)*(v - 1)/8
Solve 14704/3*h**2 - 52900/