1)**3
Let l(u) = -u**3 - 18*u**2 - 9*u - 43. Let w be l(-15). Let o = -6359/11 - w. Determine c so that -54/11 + o*c + 2/11*c**3 - 18/11*c**2 = 0.
3
Let q(l) be the second derivative of l**5/20 - l**4/12 + l**3/2 - l**2/2 - 11*l. Let z(u) = u**3 + 3*u - 1. Let j(y) = 3*q(y) - 2*z(y). Factor j(o).
(o - 1)**3
Let v be 2/3 + (-56)/(-42). Determine g so that -144 + v*g**2 - 6*g**2 + 0 + 48*g = 0.
6
Let l(q) be the third derivative of -q**6/900 + 127*q**5/450 + 918*q**2. Solve l(p) = 0 for p.
0, 127
Let d(g) = -11*g - 166. Let c be d(-17). Solve 3*k + 121*k - 15*k + 82*k**3 + 201*k**2 + 32 + 11*k - 53*k**2 + 2*k**5 + c*k**4 = 0.
-4, -2, -1/2
Let z(m) be the second derivative of m**4/18 - 58*m**3/9 + 841*m**2/3 - 294*m. Factor z(n).
2*(n - 29)**2/3
Suppose 4*r - 175 = -r. Suppose -8*g + 14*g + 21*g - 135 = 0. Factor r*j**4 + 214*j**2 + 79*j**3 + 50*j + 56*j**3 - 2*j**5 - 3*j**g - 69*j**2.
-5*j*(j - 10)*(j + 1)**3
Let t(x) = 24*x + 94. Let v be t(-4). Let a be 38/18 - v/(-18). Factor -3/2*q - 1/2*q**a - 1.
-(q + 1)*(q + 2)/2
Factor 11535*j**3 - 89*j - 79*j + 1682*j**2 - 11467*j**3 - 262*j**2.
4*j*(j + 21)*(17*j - 2)
Let i(z) = -25*z + 377. Suppose 0 = x + 2, -4*k + 4*x = -5 - 63. Let o be i(k). Factor 2 + 7/3*f - f**o.
-(f - 3)*(3*f + 2)/3
Let t(j) be the second derivative of -j**6/10 - 3*j**5/2 + 9*j**4 - 19*j**3 + 39*j**2/2 - 360*j. Let t(q) = 0. Calculate q.
-13, 1
Let v(t) be the first derivative of 2*t**3/21 + 41*t**2/7 - 360*t/7 + 1041. Solve v(c) = 0 for c.
-45, 4
Let s(k) be the second derivative of 2*k**6/15 + 39*k**5/5 - 212*k**4 + 4088*k**3/3 - 3744*k**2 + 33*k - 10. Solve s(h) = 0.
-52, 2, 9
Let g(t) = t**3 - 112*t**2 + 310*t + 66. Let l be g(3). Determine o, given that l - 72/5*o - 3/5*o**2 = 0.
-25, 1
Suppose -174/7 + 61/7*h - 1/7*h**2 = 0. Calculate h.
3, 58
Let r(y) be the third derivative of y**7/2940 - 11*y**6/630 - 175*y**3/6 - 105*y**2. Let g(m) be the first derivative of r(m). Determine a so that g(a) = 0.
0, 22
Let s(t) be the third derivative of 5*t**2 + 1/21*t**4 + 1/70*t**5 + 0*t**3 + 3 - 1/420*t**6 + 0*t. Factor s(k).
-2*k*(k - 4)*(k + 1)/7
Let x(n) be the third derivative of n**8/784 - 11*n**7/490 - 3*n**6/70 - 24*n**2 - 15. Find v such that x(v) = 0.
-1, 0, 12
Let y be ((-18)/(-10)*1375/675)/(8/18). Factor -3 + y*u**2 + 27/4*u**3 - 12*u.
3*(u - 1)*(u + 2)*(9*u + 2)/4
Let i(s) be the first derivative of -s**7/1120 + s**6/480 + 55*s**3/3 + s**2 + 70. Let c(f) be the third derivative of i(f). Find a, given that c(a) = 0.
0, 1
Let d be 77/(-21)*(-1736)/341. Factor -d*g - 392/3 - 2/3*g**2.
-2*(g + 14)**2/3
Let f be 124/(-12) - (-1 - 1)/6. Let u be (4 - -2)*(-15)/f. Determine k so that -6*k**4 - 9*k**3 - 5*k**5 + u*k**3 + k**4 = 0.
-1, 0
Let o(z) be the third derivative of -z**5/12 + 3335*z**4/12 - 2224445*z**3/6 + 1457*z**2. Factor o(a).
-5*(a - 667)**2
Let h(c) = 20*c**5 - 29*c**4 - 20*c**3 - 5*c**2 - 51. Let b(m) = 7*m**5 - 10*m**4 - 7*m**3 - 2*m**2 - 18. Let l(u) = 17*b(u) - 6*h(u). Solve l(f) = 0.
-1, 0, 1, 4
Let f(g) be the second derivative of 1/120*g**5 + 0 + 6*g - 1/36*g**3 - 1/72*g**4 + 17/2*g**2. Let x(b) be the first derivative of f(b). Factor x(h).
(h - 1)*(3*h + 1)/6
Let a(k) be the first derivative of k**7/210 - 7*k**6/30 + 12*k**5/5 - 34*k**4/3 + 154*k**3/3 + 218. Let n(m) be the third derivative of a(m). Factor n(l).
4*(l - 17)*(l - 2)**2
Let q(p) = p**3 + p + 1. Let k(i) = -9*i**3 + 9*i**2 - 12*i - 24. Suppose 2*b - 2 = -5*w - 6, -4*w = -2*b - 40. Let f(m) = b*q(m) - k(m). Factor f(x).
-3*(x - 1)*(x + 2)**2
Determine l so that -1/2*l**5 - 30*l**2 + 0 - 61*l**3 + 396*l - 21/2*l**4 = 0.
-11, -6, 0, 2
Let u(m) = -m**3 + 418*m**2 - 4583*m + 11750. Let h(r) = 7*r**3 - 1671*r**2 + 18336*r - 47000. Let c(f) = 2*h(f) + 9*u(f). Factor c(p).
5*(p - 5)**2*(p + 94)
Let p(z) = -18*z - 50. Let q be p(-3). Suppose q*r = -4*j, 4*r = 3*j - r - 16. Determine l so that 1/8*l**4 + 0*l**3 + 1/2 - 5/8*l**j + 0*l = 0.
-2, -1, 1, 2
Let l(r) be the second derivative of -r**4/24 - 39*r**3/8 + 59*r**2/8 + 775*r + 3. Factor l(n).
-(n + 59)*(2*n - 1)/4
Let f(j) = 37*j**2 + 2*j + 1. Let o be f(-1). Let t be ((-8)/(-16))/(15/o). What is q in t*q + 4/5 + 2/5*q**2 = 0?
-2, -1
Let q(k) be the first derivative of -k**6/2 + 150*k**5 - 2223*k**4/4 - 10223. Let q(z) = 0. What is z?
0, 3, 247
Let b(y) be the first derivative of y**4/24 + 11*y**3/12 + 9*y**2/2 - 10*y + 45. Let a(m) be the first derivative of b(m). Factor a(p).
(p + 2)*(p + 9)/2
Let m be 38*(1 - -2)/18*-3. Let c be (-2)/m - (-2088)/1102. Solve -3*b + 3/2*b**c - 9/2 = 0.
-1, 3
Let z = -18523/7 - -2653. Determine n, given that -51/7*n + z + 3/7*n**2 = 0.
1, 16
Let o(u) be the first derivative of u**4/28 - 3079*u**3/21 + 6155*u**2/14 - 3077*u/7 + 2696. Factor o(b).
(b - 3077)*(b - 1)**2/7
Let u = -2/1150761 + 6904592/14959893. Suppose 0 - 2/13*p**4 + 10/13*p**2 - u*p - 2/13*p**3 = 0. What is p?
-3, 0, 1
Let q(h) be the third derivative of -2*h**2 + 0 - 1/1155*h**7 + 0*h**3 + 0*h**5 + 1/660*h**6 + 0*h**4 - 48*h. Factor q(p).
-2*p**3*(p - 1)/11
Let b(y) = -y**4 - y**3 - 3*y**2 - 2*y + 1. Let l(v) = -8*v**4 - 168*v**3 - 540*v**2 - 40*v + 684. Let o(w) = 12*b(w) - l(w). Factor o(i).
-4*(i - 42)*(i - 1)*(i + 2)**2
Suppose -7*y = 883 - 3116. Let i = 1597/5 - y. Find d such that -14*d - 22/5*d**2 - 10 - i*d**3 = 0.
-5, -1
Suppose -2*u**5 - 288*u**3 + 330*u**2 - 205*u**2 - u**5 + 398*u**2 + 54*u**4 - 43*u**2 = 0. What is u?
0, 4, 10
Suppose 0 - 13*m**3 - 1/9*m**5 - 18*m**2 + 0*m - 20/9*m**4 = 0. What is m?
-9, -2, 0
Let u(s) be the second derivative of s**7/945 + s**6/540 - 63*s**2 - 52*s. Let z(b) be the first derivative of u(b). Factor z(n).
2*n**3*(n + 1)/9
Let g(b) be the second derivative of 0 + 0*b**2 + 3/50*b**5 - 8*b + 23/5*b**4 + 0*b**3. Factor g(u).
6*u**2*(u + 46)/5
Let b = -83 + 42. Let w = 45 + b. Factor 59*f + w - 28*f**2 + 12*f + 12 - 23*f.
-4*(f - 2)*(7*f + 2)
Let p = -1236 + 1236. Let r(n) be the third derivative of 1/60*n**5 + 10*n**2 + 0*n**4 + 0*n + 0*n**3 + p. Factor r(t).
t**2
Let h(c) = -c**2 - 14*c + 3. Let q be h(-14). Let k = 388 - 384. Find p such that -p**3 + 9*p**q - 14*p**2 - 4 + 13*p - p**k - p**2 - p**3 = 0.
1, 4
Let g be (1/((80/(-3))/20))/(45/(-20)). Factor 2 + g*u**2 - 5/3*u.
(u - 3)*(u - 2)/3
Let c be 35 + 4*(-1 + 2). Suppose c = -27*r + 30*r. Find m such that -r*m**5 + 12*m**5 - 3*m**2 + m**2 + m + 2*m**4 = 0.
-1, 0, 1
Let i(t) be the second derivative of 3/22*t**4 - 28*t - 1/10*t**5 - 4 + 98/11*t**2 + 1/165*t**6 + 119/33*t**3. What is o in i(o) = 0?
-2, -1, 7
Suppose -2*b - 42 = -4*g, 5*g - 4*b - 9 - 39 = 0. Suppose -g*p - 18 = -30*p. Find w such that p - 25*w + 10*w - 7 + 21*w**2 = 0.
-2/7, 1
Let q(d) be the third derivative of d**5/80 + 261*d**4/16 + 68121*d**3/8 - 3784*d**2. Factor q(x).
3*(x + 261)**2/4
Let m be 1340142/2785*(-70)/(-18) - 8/(-6). Let 212/3*i + m + 2/3*i**2 = 0. What is i?
-53
Let l(m) = 5*m**2 - 10412*m + 5428822. Let t(d) = -35*d**2 + 72880*d - 38001755. Let b(q) = 15*l(q) + 2*t(q). Find s, given that b(s) = 0.
1042
Let n = -26547 + 26549. Let p(f) be the second derivative of 0*f**n + 0 + 0*f**3 + 1/6*f**5 + 1/14*f**4 - 4/315*f**6 - 3*f. Let p(s) = 0. Calculate s.
-1/4, 0, 9
Let b(s) = 511*s**3 + 1006*s**2 + 506*s - 7. Let d(z) = 2041*z**3 + 4023*z**2 + 2022*z - 26. Let a(x) = -22*b(x) + 6*d(x). Factor a(v).
2*(v + 1)**2*(502*v - 1)
Let t = -83 + 59. Let h be ((-38)/8 - -1) + 6/t. Let x(s) = 5*s**2 + 4*s - 1. Let m(p) = -p**2 - p. Let c(r) = h*x(r) - 18*m(r). Factor c(q).
-2*(q - 2)*(q + 1)
Factor -6 - 32/5*x - 2/5*x**2.
-2*(x + 1)*(x + 15)/5
Let d be ((-2)/(-20)*2)/(-1 + 1786/1710). Let x(h) be the first derivative of -6*h + d*h**2 - 27 - h**3. Factor x(y).
-3*(y - 2)*(y - 1)
Let c = -136 - -138. Let c*q - 16*q**2 - 2*q - 4*q**3 + 4*q + 16 + 0*q = 0. What is q?
-4, -1, 1
Let s(v) = 3*v**3 + 291*v**2 - 906*v + 570. Let w(a) = -6*a**3 - 583*a**2 + 1813*a - 1147. Let f(d) = -11*s(d) - 6*w(d). Factor f(y).
3*(y - 2)*(y - 1)*(y + 102)
Let h = -74 + 74. Suppose -3*u + 4*r + 240 = h, 234 = 3*u - 0*u - 2*r. Factor -4*j**2 + j**2 + 48*j - 116 + 0*j**2 - u.
-3*(j - 8)**2
Suppose -2*u = 37*r - 39*r + 22, -5*u - 15 = 5*r. Let m(y) be the second derivative of -1/4*y**r + 9/2*y**2 - y**3 + 0 + 28*y. Find n such that m(n) = 0.
-3, 1
Let x be ((-