*g**4 - 152*g**4 - x*g**4 = 0. Calculate g.
0, 1, 14
Let s(y) be the first derivative of y**7/336 + y**6/60 - y**5/32 + 62*y - 63. Let x(m) be the first derivative of s(m). Factor x(f).
f**3*(f - 1)*(f + 5)/8
Let j(n) = -8*n**3 + 6936*n**2 - 12*n + 96. Let g(t) = 5*t**3 - 4161*t**2 + 7*t - 56. Let k(b) = -12*g(b) - 7*j(b). Suppose k(w) = 0. Calculate w.
0, 345
Let h(j) be the second derivative of j**6/225 + 2*j**5/25 + 23*j**4/90 - 4*j**3/5 + 1194*j. Factor h(k).
2*k*(k - 1)*(k + 4)*(k + 9)/15
Factor -1/2*i**3 + 56*i**2 + 0 - 327/2*i.
-i*(i - 109)*(i - 3)/2
Suppose -2*k = 4*h - 18, k - 15 = 14*h - 18*h. Factor 282 - 15*w**2 + 26*w - 5*w**3 - 282 + 6*w**h.
w*(w - 13)*(w - 2)
Let y(b) be the third derivative of b**7/11340 - b**6/648 + b**5/135 + 21*b**4/8 - 2*b**2 + 44*b. Let o(r) be the second derivative of y(r). Factor o(d).
2*(d - 4)*(d - 1)/9
Let c(m) be the third derivative of 16*m**2 - 1/60*m**6 + 1/12*m**3 + 2*m - 1/120*m**5 + 0 + 1/12*m**4. Factor c(u).
-(u - 1)*(u + 1)*(4*u + 1)/2
Find h, given that 6/5*h**3 + 544/5*h**2 + 704/5 + 1416/5*h = 0.
-88, -2, -2/3
Let z(d) be the second derivative of d**6/285 + d**5/38 + 2*d**4/57 - 47*d + 13. Factor z(f).
2*f**2*(f + 1)*(f + 4)/19
Find q, given that -2/7*q**5 - 232/7*q**2 + 0 - 156/7*q**3 - 38/7*q**4 - 16*q = 0.
-14, -2, -1, 0
Suppose -j = 2*k + 3, 0 = 3*k - 3*j + 17 - 44. Let i(n) be the second derivative of 0 - 33*n - 36/7*n**k + 4/7*n**3 - 1/42*n**4. Factor i(b).
-2*(b - 6)**2/7
Let r(v) be the first derivative of -v**7/490 - 4*v**6/315 - v**5/30 - v**4/21 + 19*v**3/3 - v**2 - 5. Let h(d) be the third derivative of r(d). Factor h(f).
-4*(f + 1)**2*(3*f + 2)/7
Factor 1/3*s**2 - 78*s + 1145/3.
(s - 229)*(s - 5)/3
Let l(h) = 3237*h + 129485. Let i be l(-40). What is z in -1/3*z**i - 23/3*z**3 + 8*z + 3*z**4 + 7/3*z**2 - 16/3 = 0?
-1, 1, 4
Let z(k) be the third derivative of 0 + 0*k - 36*k**2 + 16/3*k**3 + 7/600*k**5 + 1/600*k**6 + 1/60*k**4. Let n(t) be the first derivative of z(t). Factor n(p).
(p + 2)*(3*p + 1)/5
Suppose -3*w = 4*w - 15036. Let q = w - -532. Factor -150*d**2 - 2320 - 259*d - 4*d**3 - q - 1241*d - d**3.
-5*(d + 10)**3
Let 131*k - 523/4*k**2 - 1/4*k**3 + 0 = 0. What is k?
-524, 0, 1
Let o(l) be the third derivative of l**6/120 - 57*l**5/20 - 43*l**4/6 + 6347*l**2. Find x such that o(x) = 0.
-1, 0, 172
Let o(n) be the second derivative of -1/3*n**3 + 107*n - 7/8*n**2 + 1 - 1/48*n**4. Find v such that o(v) = 0.
-7, -1
Let t(s) be the second derivative of -7/4*s**3 - 9/8*s**4 - 66*s + 0 - 3/2*s**2 - 3/8*s**5 - 1/20*s**6. Factor t(g).
-3*(g + 1)**3*(g + 2)/2
Let 104/3*j - 4*j**2 - 1/3*j**5 - 32 + 3*j**4 - 22/3*j**3 = 0. Calculate j.
-2, 2, 3, 4
Suppose -3*a + 39 = -3*c, 9*a - 11*a - 5*c = -12. Suppose -4*o + 9 + a = 4*p, -3*o + 9 = 0. Determine f so that -1/4*f**3 + 0 + 1/2*f**p - 1/4*f = 0.
0, 1
Let f(b) = 2*b**2 - b + 1. Let c(r) = r**2 + 46*r - 62. Let a(d) = -c(d) - 2*f(d). What is j in a(j) = 0?
-10, 6/5
Let j(y) be the third derivative of y**8/2352 - 31*y**7/735 - 1787*y**6/840 - 698*y**5/21 - 3464*y**4/21 + 21760*y**3/21 + y**2 + 37. Factor j(l).
(l - 85)*(l - 1)*(l + 8)**3/7
Suppose -2*y + 13 = -s + 73, -4*s + 225 = -5*y. Solve -s*w**3 + 26*w**3 - 132*w**2 + 5808*w - 85184 + 25*w**3 = 0.
44
Let h(c) be the third derivative of -8/3*c**4 - 16/5*c**6 - 16/3*c**5 + 0*c - 88/105*c**7 + 0 + 0*c**3 - 1/12*c**8 + 46*c**2. Suppose h(d) = 0. Calculate d.
-2, -2/7, 0
Let c(o) be the first derivative of o**3/9 - 123*o**2 + 45387*o - 1308. Let c(t) = 0. Calculate t.
369
Let c(b) = 5*b**2 + 2518*b - 1585063. Let g(s) = 12*s**2 + 5036*s - 3170120. Let o(f) = -7*c(f) + 3*g(f). Let o(n) = 0. Calculate n.
1259
Factor 0 + 80/7*g**3 + 0*g + 4/7*g**4 + 76/7*g**2.
4*g**2*(g + 1)*(g + 19)/7
Let i = 5348 - 5343. Let h(d) be the second derivative of 1/10*d**4 + 2/5*d**2 + 1/100*d**i + 0 + 3/10*d**3 + 11*d. Factor h(x).
(x + 1)**2*(x + 4)/5
Let i(w) be the third derivative of -w**6/90 - 3*w**5/5 - 15*w**4/2 - 92*w**3/3 - w**2 - 13*w. Let s(g) be the first derivative of i(g). Factor s(p).
-4*(p + 3)*(p + 15)
Let 588*y**3 - 114*y**5 + 24*y + 124*y**4 - 16*y**4 + 352*y**2 + 45*y**5 - 47*y**5 + 36*y**2 = 0. What is y?
-1, -2/29, 0, 3
Let j be -2 - (-4)/((-8)/(-46)). Suppose -j = 3*l - 10*l. Determine q, given that -8 - 314*q - q**l + 310*q + 2*q**3 + 2*q**2 = 0.
-2, 2
Let v(b) = -28*b**2 - 18*b + 39. Let z(i) = 13*i**2 + 9*i - 18. Let s(d) = 6*v(d) + 13*z(d). Let r be s(0). Solve -3/7*h**2 + 6/7*h + r - 3/7*h**3 = 0.
-2, 0, 1
Let r(y) be the second derivative of 242*y + 1/12*y**4 + 0 - 17/80*y**5 - 1/2*y**2 + 17/24*y**3. Determine z so that r(z) = 0.
-1, 4/17, 1
Let l(n) be the second derivative of 19*n**4/8 + 11*n**3/2 - 24*n**2 - 565*n + 1. Factor l(c).
3*(c + 2)*(19*c - 16)/2
Let m(h) be the third derivative of -h**7/1260 + h**6/90 + h**5/36 - h**4/18 - h**3/4 + 48*h**2 + 2*h - 8. Factor m(y).
-(y - 9)*(y - 1)*(y + 1)**2/6
Let n be 56*(28/8*1 + -3). Let h be 2 - (-8)/(-140)*n. Factor -11/10*l**2 - 1/2*l - h*l**3 + 1/5.
-(l + 1)*(l + 2)*(4*l - 1)/10
Let g(j) = 11*j**4 + 156*j**3 + 531*j**2 + 560*j - 98. Let y(r) = -r**4 + r**3 - 15*r**2 + 1. Let d(u) = 3*g(u) - 6*y(u). Solve d(t) = 0 for t.
-5, -2, 2/13
Factor 0 - 6*k**3 + 62/11*k**2 - 20/11*k + 26/11*k**4 - 2/11*k**5.
-2*k*(k - 10)*(k - 1)**3/11
Suppose 0 - 104/3*o**2 - 209/6*o + 1/6*o**3 = 0. What is o?
-1, 0, 209
Let g = 134 - 132. Determine p, given that -356*p + 704*p**g + 900*p + 128 + 49*p**4 + 69*p**4 + 400*p**3 - 14*p**4 + 10*p**5 = 0.
-4, -2, -2/5
Let n(s) = 3*s - 25. Let r(h) = 2*h - 17. Let p(d) = -5*n(d) + 7*r(d). Let x be p(4). Factor -v**4 - v**2 + 5*v**x - 4*v**2 + v**3.
-v**3*(v - 1)
Factor -32412 + 366*n**2 + 3*n**3 - 2*n**4 + 17*n**3 + 561*n - 931*n + 10780 - 1710*n.
-2*(n - 13)**2*(n + 8)**2
Let k(y) be the second derivative of 0 + 7/25*y**5 + 0*y**2 + 4/5*y**3 + 13/15*y**4 - 2/75*y**6 + 88*y - 2/105*y**7. Determine j, given that k(j) = 0.
-2, -1, 0, 3
Let z(g) = 3*g**2 - 91*g. Let q(y) = -2*y**2 + 61*y. Let u be ((-28)/21)/((-28)/147). Let n(a) = u*q(a) + 5*z(a). Suppose n(v) = 0. Calculate v.
0, 28
Let y be 15 - 6 - 24 - 10*(-135)/72. Factor y*f**3 + 39*f + 21 - 129/4*f**2.
3*(f - 7)*(f - 2)*(5*f + 2)/4
Let m(l) be the first derivative of l**8/336 - 4*l**7/105 + 7*l**6/120 + 8*l**2 - 62. Let t(f) be the second derivative of m(f). Factor t(z).
z**3*(z - 7)*(z - 1)
Let i(k) be the third derivative of 1/7*k**4 + 0*k + 0*k**3 + 0 - 139*k**2 + 1/210*k**6 + 1/15*k**5. Factor i(o).
4*o*(o + 1)*(o + 6)/7
Let j(n) be the third derivative of n**7/735 + 14*n**6/15 + 2587*n**5/14 + 12675*n**4/14 + 6*n**2 + 2*n + 18. Factor j(v).
2*v*(v + 2)*(v + 195)**2/7
Let f(s) be the third derivative of -169/40*s**4 + 0 - 1/600*s**6 + 52*s**2 + 0*s - 13/100*s**5 - 2197/30*s**3. Suppose f(n) = 0. Calculate n.
-13
Suppose -3*g + 620 = -520. What is m in -8*m + 382*m**2 - g*m**2 - 16 - 2*m - 4*m = 0?
-1, 8
Solve -1/2*d**4 + 12*d + 1/2*d**3 + 13*d**2 + 0 = 0.
-4, -1, 0, 6
Let w = -396552 - -396554. Factor 236/5*g - 24/5 - 20*g**3 - 112*g**w.
-4*(g + 6)*(5*g - 1)**2/5
Let v(m) = -4*m - 86. Let a be v(-22). Find j such that -11*j**a - 5*j**3 + 3*j + 11*j**3 - 2*j**2 - 2*j**2 + 6 = 0.
-1/2, 1, 2
Let f(h) be the second derivative of h**6/80 - 17*h**5/40 - h**4/144 + 17*h**3/36 + 19*h**2 - h + 49. Let s(v) be the first derivative of f(v). Solve s(r) = 0.
-1/3, 1/3, 17
Let c = -55 - -826/15. Let h(a) be the second derivative of 3/10*a**5 - 4*a - c*a**6 + 0 + 6*a**2 - 11/3*a**3 + 1/2*a**4. Determine p so that h(p) = 0.
-2, 1, 3
Let q be 46202/(-5331) + (11 - 2). Factor 0 - q*o**2 + 52/3*o.
-o*(o - 52)/3
Let n(v) be the third derivative of v**5/330 + 35*v**4/132 - 52*v**3/11 - 44*v**2 - 13*v. Find o such that n(o) = 0.
-39, 4
Let o(n) be the first derivative of 4/9*n**3 + 115 - 24*n + 34/3*n**2. Solve o(j) = 0 for j.
-18, 1
Let u(h) be the second derivative of -5*h**2 - 3/20*h**5 - 11/3*h**3 + 0 + 6*h - 13/12*h**4. Let l(a) = -a**2 - a - 1. Let s(i) = -2*l(i) - u(i). Factor s(r).
3*(r + 1)*(r + 2)**2
Let r(n) be the first derivative of 16*n + 16/3*n**2 + 75 - 52/9*n**3 - 7/3*n**4. Factor r(l).
-4*(l - 1)*(l + 2)*(7*l + 6)/3
Let t = -35 - -56. Let j(h) = -h**2 + 60*h + 352. Let o be j(65). Factor -60*k**3 - 20*k**4 - 16*k - 45*k**2 + o*k - t*k.
-5*k*(k + 2)*(