ve of -b**6/72 + b**5/4 - 25*b**4/24 - 20*b**3/3 - b**2/2 + 85. Let t(h) be the third derivative of s(h). Factor t(u).
-5*(u - 5)*(u - 1)
Let n(h) be the third derivative of -h**6/8 + 40*h**5/3 + 455*h**4/8 + 275*h**3/3 + 6335*h**2. Determine x so that n(x) = 0.
-1, -2/3, 55
Let x(d) be the third derivative of d**8/224 - 17*d**7/105 + 31*d**6/24 + 43*d**5/10 + 45*d**4/16 - 193*d**2 - 7*d. Determine c so that x(c) = 0.
-1, -1/3, 0, 9, 15
Let k(o) = -2*o**2 - 559*o + 11345. Let z be k(19). Factor -9/4*q + 25/4*q**3 + 1/4 + 15/4*q**z.
(q + 1)*(5*q - 1)**2/4
Let 2048/5 + 2032/5*q + 496/5*q**2 - 4/5*q**3 = 0. Calculate q.
-2, 128
Let b(h) = -76*h**3 - 14*h**2 + 260*h + 240. Let w(y) = 16*y**3 + 3*y**2 - 52*y - 48. Let g(a) = 3*b(a) + 14*w(a). Determine q so that g(q) = 0.
-3, -1, 4
Let s(i) = 3*i**4 + 19*i**3 + 83*i**2 + 123*i + 54. Let r(j) = 19*j**4 + 115*j**3 + 497*j**2 + 738*j + 324. Let z(c) = 6*r(c) - 39*s(c). Factor z(k).
-3*(k + 1)**2*(k + 6)*(k + 9)
Let a(o) = -o - 3. Let y be a(-12). Suppose -5*c = 3*r - 19, 3*c + r + y = 6*r. Factor -2*w - 4*w - 7*w**2 + 10*w**2 + 0*w**c.
3*w*(w - 2)
Suppose -264*z - 408 = -10*a - 266*z, 4*a - z = 156. Factor 70 - a*v + 5/2*v**2.
5*(v - 14)*(v - 2)/2
Let q = 84 - 83. Determine n, given that -q + 12*n**2 - 2*n**3 + 2*n**4 - 4*n**4 + 1 = 0.
-3, 0, 2
Determine a, given that -489/4*a**2 + 87*a - 21 + 63*a**3 - 27/4*a**4 = 0.
2/3, 1, 7
Let t = -1040 - -1043. Suppose -6*i + 3*i - 3 = -t*k, 7 = -k + 5*i. Let 12/7*n**2 - 2/7*n**k + 5/7 - 2*n - 1/7*n**4 = 0. What is n?
-5, 1
Suppose -229*d - 129*d + 85*d + 435 + 111 = 0. Find n, given that 407253125/6*n - 475/6*n**4 + 45125/3*n**3 - 4286875/3*n**d + 1/6*n**5 - 7737809375/6 = 0.
95
Let p = 61898/3 - 20632. Let b(z) be the first derivative of -p*z**2 - 1/9*z**4 + 0*z + 16/27*z**3 + 22. Find u, given that b(u) = 0.
0, 1, 3
Let r be 12 + (-3)/((-8)/((-128)/12)). Let l(v) be the first derivative of -6*v**2 + r*v + 9 - 2/3*v**3 + 7/4*v**4 - 1/6*v**6 + 0*v**5. Factor l(t).
-(t - 2)*(t - 1)**2*(t + 2)**2
Let h = -181 - -265. What is n in -30*n**5 + 8*n**2 - 1 - 147*n**4 + 2 - h*n - 264*n**3 - 227*n**2 - 13 = 0?
-2, -1, -1/2, -2/5
Let p be 153/45 + (-48)/(-30). Suppose 0*b**5 + 10*b**3 + 8*b**4 + 3*b**p + 4*b**2 - 8*b**5 + 7*b**5 = 0. Calculate b.
-2, -1, 0
Let z be (4 + 32)/3 - 140*16/384. Let -19/3*v - z - 1/6*v**2 = 0. What is v?
-37, -1
Let s(h) be the first derivative of 15 - 1/18*h**4 - 1/3*h**2 + 2/9*h**3 - 2*h. Let y(v) be the first derivative of s(v). Factor y(z).
-2*(z - 1)**2/3
Let t(q) be the third derivative of -q**7/525 - q**6/50 + 49*q**5/150 - 11*q**4/10 - 2845*q**2. Determine f, given that t(f) = 0.
-11, 0, 2, 3
Let o be 4 - (580/56 - 4). Let t = -25/14 - o. Factor -4/7 + 0*k + t*k**2.
4*(k - 1)*(k + 1)/7
Let 0 - 26*u**4 - 2/5*u**5 + 0*u - 2576/5*u**3 - 14112/5*u**2 = 0. Calculate u.
-28, -9, 0
Let a(v) = -3*v**3 + 2*v**2 - 1. Let y be a(-1). Let t(l) = -42*l - 1335. Let i be t(-32). Factor 7*m**2 - i*m**2 + 4 + y.
-2*(m - 2)*(m + 2)
Let n = -380 + 3884/9. Let u = n - 154/3. Factor -u + 1/9*t**2 + 1/9*t.
(t - 1)*(t + 2)/9
Let v(f) = -16*f**3 + 33*f**2 - 95*f + 71. Let t(c) = -7*c**3 + 16*c**2 - 47*c + 35. Let b(l) = -7*t(l) + 3*v(l). Determine d, given that b(d) = 0.
1, 4, 8
Let p = -482 - -520. Suppose -p*h = 6*h. Factor 0*k - 2/3*k**2 + h.
-2*k**2/3
Let r be (-2*(-99)/(-132))/((-2)/4). Let f(b) be the second derivative of 4*b**2 + 1/10*b**5 + 0 - 1/2*b**4 + 0*b**r + 11*b. Find p such that f(p) = 0.
-1, 2
Determine v so that 160/3 + 44/9*v - 2/9*v**2 = 0.
-8, 30
Let g(s) be the first derivative of -s**4/14 + 16*s**3/3 + 25*s**2 + 236*s/7 + 1621. Factor g(n).
-2*(n - 59)*(n + 1)*(n + 2)/7
Let k be (-614)/(-77) - 690/(-26565). Solve 6 + 4/3*r**3 - k*r + 2/3*r**2 = 0 for r.
-3, 1, 3/2
Let m be (-20)/25*(9 - (39 + -21)). Suppose 1/5*b**4 + m - 2*b**3 + 12*b + 13/5*b**2 = 0. What is b?
-1, 6
Suppose -2226*j = -2221*j - y + 5, -5*j = 2*y - 40. Factor 0 + 92/9*w + 4/9*w**j.
4*w*(w + 23)/9
Let c(g) = 1545*g**2 - 5*g + 5. Let o be c(1). What is u in -o*u + 794*u + 787*u - 108 - 3*u**2 = 0?
6
Let z(d) = 26*d**2 + 16710*d + 34877958. Let i(y) = 82*y**2 + 50131*y + 104633875. Let v(l) = 6*i(l) - 19*z(l). Find m, given that v(m) = 0.
-4176
Let z(p) = 159*p**3 - 54*p**2 + 3*p. Let t(x) = -x**3 + x**2. Suppose -b + 6*b = -60. Let a = -75 - -74. Let w(f) = a*z(f) + b*t(f). Factor w(o).
-3*o*(7*o - 1)**2
Let f(i) be the third derivative of -17*i**2 - 1/150*i**5 + 0 - 4*i - 11/10*i**4 - 363/5*i**3. Factor f(a).
-2*(a + 33)**2/5
Let a(c) = c**2 - 13*c + 38. Let u be a(9). Factor -15*g - 7*g**u + 13 - 12 - 11 + 2*g**2.
-5*(g + 1)*(g + 2)
Factor -1090936/9*x**2 - 472/9*x**4 - 4565330/9*x - 2/9*x**5 + 0 - 12628/3*x**3.
-2*x*(x + 5)*(x + 77)**3/9
Let v(r) be the second derivative of r**5/20 - 7*r**4/6 + 8*r**3/3 + 48*r**2 + 65*r - 6. Factor v(w).
(w - 12)*(w - 4)*(w + 2)
Let w(z) be the first derivative of 3/4*z**4 + 0*z - 52 + 8/3*z**3 - 2/5*z**5 + 2*z**2 - 1/6*z**6. Factor w(o).
-o*(o - 2)*(o + 1)**2*(o + 2)
Let m be (-9)/(-6) - 21/(-14). Let j be -7*1*(-50)/125*(-15)/(-8). Factor -15/4*d + 0 - j*d**m - 3/4*d**4 - 33/4*d**2.
-3*d*(d + 1)**2*(d + 5)/4
Let g(d) be the third derivative of d**5/12 + 35*d**4/12 + 55*d**3/2 + 115*d**2 + 1. Determine x so that g(x) = 0.
-11, -3
Let i(s) = -s**5 + 25*s**4 + 45*s**3 + 41*s**2 + 10*s + 6. Let t(v) = -v**5 + v**2 + 1. Suppose -7 + 91 = -14*c. Let x(z) = c*t(z) + i(z). Solve x(p) = 0.
-2, -1, 0
Let f be (2 + -1)*(5 - 4). Let z be f/(4/(-24)*2) - -5. Factor 7*c - 10*c + c**z - 4 + 6*c.
(c - 1)*(c + 4)
Let y(b) be the second derivative of -b**4/54 - 271*b**3/27 - 538*b**2/9 + 981*b. Determine x so that y(x) = 0.
-269, -2
Let l = 22586 - 22584. Factor -4/7 + 10/7*f + 2*f**l.
2*(f + 1)*(7*f - 2)/7
Factor 5/2 - 10*u**2 - 75/4*u.
-5*(u + 2)*(8*u - 1)/4
Let u(i) be the second derivative of -i**6/135 - i**5/10 - 7*i**4/27 + 8*i**3/9 + 18*i + 8. Factor u(n).
-2*n*(n - 1)*(n + 4)*(n + 6)/9
Suppose 0 + 4 = 2*r. Suppose 51*l - 17*l - 170 = 0. Solve r*n**3 + 2*n**4 - 6*n**4 - 12*n**2 - 5 + l*n**4 + 14*n = 0 for n.
-5, 1
Solve 3/4*p**3 + 1425*p + 123/2*p**2 + 6498 = 0 for p.
-38, -6
Solve -117*y + 13689/2 + 1/2*y**2 = 0.
117
Let x(o) = o**3 - o - 1. Let h(m) = -25*m**3 - 1170*m**2 - 91240*m - 2372740. Let q(d) = -h(d) - 20*x(d). Let q(s) = 0. Calculate s.
-78
Let l(v) be the third derivative of v**2 - 28 + 0*v**3 - 1/180*v**5 + 0*v + 1/18*v**4. Factor l(m).
-m*(m - 4)/3
Let c(v) be the first derivative of v**5/15 - 29*v**4/3 + 3124*v**3/9 + 2320*v**2 + 4800*v + 2251. Factor c(z).
(z - 60)**2*(z + 2)**2/3
Let g(j) = 2*j**2 + 2*j - 2. Let o be g(-2). Suppose 2*l + 19 = -6*u + u, -13 = -l + o*u. Factor c + 4*c**l - 7*c + 4*c**4 + 6*c.
4*c**3*(c + 1)
Let n(d) be the first derivative of d**6/72 + 5*d**5/8 + 35*d**4/12 - 13*d**3/3 + 2*d + 167. Let u(w) be the third derivative of n(w). Solve u(h) = 0.
-14, -1
Factor 0 + 0*s - 2/3*s**2.
-2*s**2/3
Let g be 7 + ((-6)/(-3) - 7). Factor -1206 + 148 + 114*r**2 - 116*r**g - 92*r.
-2*(r + 23)**2
Let v(l) = 3*l**4 - 120*l**3 - 666*l**2 - 997*l. Let o(z) = -10*z**4 + 360*z**3 + 1998*z**2 + 2996*z. Let c(i) = 5*o(i) + 16*v(i). Find y such that c(y) = 0.
-54, -3, 0
Let g(n) be the second derivative of n**4/36 - 7*n**3/6 + 49*n**2/3 - 68*n - 4. Let g(i) = 0. Calculate i.
7, 14
Let i(j) be the second derivative of j**7/189 + 133*j**6/135 + 2903*j**5/45 + 1465*j**4 - 6525*j**3 + 10125*j**2 - 20*j. Factor i(y).
2*(y - 1)**2*(y + 45)**3/9
Suppose -l - 4*f + 20 = 76, 0 = 4*f + 20. Let y be (72/l)/(22/(-6)). Factor -4/11*c**2 + 0 - 2/11*c**3 + y*c.
-2*c*(c - 1)*(c + 3)/11
Let a = -106486/51 + 2088. Let q(k) be the first derivative of 16 + a*k**3 + 0*k**2 - 2/17*k. Suppose q(n) = 0. Calculate n.
-1, 1
Let q(i) be the second derivative of 24*i**2 + 27/10*i**6 + 0 - 19*i + 99/5*i**5 + 124/3*i**4 - 9/14*i**7 + 128/3*i**3. Factor q(j).
-(j - 6)*(j + 1)*(3*j + 2)**3
Suppose -4*l - 10 - 30 = -4*m, -16 = -2*m + 4*l. Suppose -k + h + 12 = 5*h, -5*k - 4*h + m = 0. Factor -1/6*j**4 + 1/3*j**3 + 2/3*j**2 - 4/3*j + k.
-j*(j - 2)**2*(j + 2)/6
Let q(o) be the third derivative of 0*o - 1/48*o**4 - 1/2688*o**8 - 1/48*o**5 + 1/6*o**3 + 1/192*o**6 + 1/840*o**7 + 0 + 62*o**2. Suppose q(t) = 0. What is t?
-2, -1, 1, 2
Let l(a) be the third d