ose 3*n = -t - 26, 4*n - 9 = 5*t - 50. Let p(j) = j**3 + 8*j**2 - 12*j - 11. Let i be p(n). Find g such that -12 + g**2 - 3*g**2 - 2*g**2 - i*g = 0.
-3, -1
Let v(k) be the second derivative of k**7/14 - 483*k**5/20 + 117*k**4 - 154*k**3 + 4059*k. Find m such that v(m) = 0.
-14, 0, 1, 2, 11
Let y(o) = 63*o**4 - 303*o**3 - 3*o**2 + 3. Let n(s) = s**5 + 63*s**4 - 302*s**3 - 2*s**2 + 2. Let j(q) = -3*n(q) + 2*y(q). Factor j(l).
-3*l**3*(l - 4)*(l + 25)
Let w(t) be the first derivative of -18*t**2 - 49 - 16/3*t**3 + t**4 - 18*t + 2/5*t**5. Factor w(j).
2*(j - 3)*(j + 1)**2*(j + 3)
Let v be ((-2921)/254)/((7 - 9) + (0 - 0)). Let k(s) be the first derivative of -v*s**4 - s**2 + 25 + 0*s + 8/3*s**6 - 24/5*s**5 + 5*s**3. Factor k(d).
d*(d - 2)*(d + 1)*(4*d - 1)**2
Let x be (495/126)/(1060/371). Let -5/4 - x*q - 3/8*q**2 = 0. What is q?
-2, -5/3
Suppose -1 - 7 = -2*l. Let u be ((-10)/6)/(-7 + 331/48). Find k such that -u*k**2 + l*k**3 + 4*k - 12*k**3 + 12 + 6 + 2*k = 0.
-3/2, 1
Let n(x) be the first derivative of -5*x**4 - 32/3*x**3 + 0*x - 4/5*x**5 - 8*x**2 + 16. Factor n(o).
-4*o*(o + 1)*(o + 2)**2
Let w(i) be the first derivative of 5*i**3/3 - 2065*i**2/2 + 4110*i - 1853. Factor w(a).
5*(a - 411)*(a - 2)
Let t = 561425/168432 - -5/56144. Solve -t*g**2 + 8/3 - 2/3*g = 0.
-1, 4/5
Let l(x) be the first derivative of -29/9*x**3 + 5*x**2 + 8/3*x - 3/4*x**4 + 57. Factor l(g).
-(g - 1)*(g + 4)*(9*g + 2)/3
Let l be (((-108)/24)/((-6)/4))/(9/6). Let i(f) be the third derivative of 0*f - 1/120*f**6 + 1/12*f**5 + 0 - 2*f**l - 1/3*f**4 + 2/3*f**3. Factor i(z).
-(z - 2)**2*(z - 1)
Let g = 3544/583 + -168/53. Let i(s) = -s**2 + 14725*s + 88388. Let d be i(-6). Suppose 2/11*m**d + 16/11*m + g = 0. Calculate m.
-4
Let j(i) be the first derivative of -2/9*i**3 - 28/3*i - 103 + 5*i**2. Factor j(d).
-2*(d - 14)*(d - 1)/3
Factor -3852*n**4 - 320*n + 177*n**2 + 7*n**2 + 3848*n**4 - 4*n**3.
-4*n*(n - 5)*(n - 2)*(n + 8)
Let o be -39 + 18282/165 + -71. Find c such that 31/10*c + o - 2/5*c**2 = 0.
-1/4, 8
Let j(k) be the first derivative of -9*k - 15/16*k**2 - 84 + 1/8*k**3. Let j(y) = 0. Calculate y.
-3, 8
Let q(k) be the third derivative of 0 - 1/84*k**6 - 2/21*k**3 + 14*k + 4*k**2 - 1/735*k**7 - 1/12*k**4 - 3/70*k**5. Factor q(w).
-2*(w + 1)**3*(w + 2)/7
Let u(p) be the third derivative of p**5/420 + 9*p**4/56 - 15*p**3/7 - 2470*p**2. Factor u(v).
(v - 3)*(v + 30)/7
Suppose -27 = -a - 3*a - 3*q, -4*q + 11 = -3*a. Suppose -154*t - 488*t = -1284. Factor 3*f**t + 24*f + a*f**2 + 57*f**3 - 60*f**3.
-3*f*(f - 4)*(f + 2)
Let o = -769956 - -1539913/2. Factor o - 5/2*p + 3/2*p**2 + 9/2*p**3.
(p + 1)*(3*p - 1)**2/2
Let c(m) be the first derivative of m**6/48 + 53*m**5/40 + 183*m**4/16 + 115*m**3/12 - 1775*m**2/16 + 1125*m/8 - 11441. Determine k so that c(k) = 0.
-45, -5, 1
Let c(o) = -o**3 + 6*o**2 + 17*o + 4. Let u be c(8). Let b be 105/(-40)*(-1)/(14/u). What is i in -b*i**2 - 1/4 - 3/2*i = 0?
-1/3
Let z = -2217 + 2231. Let y(r) be the second derivative of 0 - 1/21*r**4 + z*r + 4/21*r**3 - 2/7*r**2. Factor y(w).
-4*(w - 1)**2/7
Factor 89/3*q - 26/3*q**4 - 136/3*q**2 + 94/3*q**3 - 22/3 + 1/3*q**5.
(q - 22)*(q - 1)**4/3
Suppose -18*c + 20*c = 5*l - 21, -4*c - 4*l = -28. Let z(y) be the first derivative of 1/4*y + 3/16*y**c + 29 + 1/24*y**3. Find u, given that z(u) = 0.
-2, -1
Suppose -6*j = 2*d - 9*j - 13, 5*j + 15 = 0. Factor -4*i**4 - 12*i**3 + 4*i**2 + 10*i - i**5 + 6*i**5 - d*i - i**5.
4*i*(i - 2)*(i - 1)*(i + 1)**2
Let k(w) be the second derivative of -w**7/168 - 13*w**6/48 + 103*w**5/160 + 31*w**4/96 - 101*w**3/48 + 17*w**2/8 - 857*w. Find j such that k(j) = 0.
-34, -1, 1/2, 1
Suppose 4*p = 5*i - 35, i - 30 + 2 = 5*p. Let q(o) be the first derivative of -4/3*o - 9 - 5/9*o**2 - 2/27*o**i. Find j such that q(j) = 0.
-3, -2
Let x(i) be the third derivative of 3*i**6/40 + 73*i**5/20 + 3*i**4 + 3*i**2 + 150*i. Suppose x(k) = 0. Calculate k.
-24, -1/3, 0
Let x(r) be the second derivative of 0 + 42*r - 1/6*r**3 - 1/12*r**4 + 10*r**2. Suppose x(c) = 0. Calculate c.
-5, 4
Let r(g) be the first derivative of -9*g**2 + 3/20*g**5 - 1/2*g**3 + 3/2*g**4 + 26*g - 22. Let j(c) be the first derivative of r(c). Factor j(h).
3*(h - 1)*(h + 1)*(h + 6)
Factor -32/23*u**3 - 72/23 - 176/23*u**2 - 210/23*u.
-2*(u + 4)*(4*u + 3)**2/23
Let i be 341 + 21 - 3/((-6)/(-2)). Let t = 364 - i. Suppose -5/4*q + 0 - 10*q**t + 20*q**4 - 35/4*q**2 = 0. Calculate q.
-1/4, 0, 1
Let o(k) be the third derivative of -k**7/210 + 479*k**6/120 - 476*k**5/15 + 475*k**4/6 - 701*k**2 - 2. Solve o(r) = 0.
0, 2, 475
Let h(x) be the third derivative of -x**8/1176 + 4*x**7/735 + x**6/35 - 17*x**5/105 - 11*x**4/84 + 10*x**3/7 - 784*x**2. Solve h(u) = 0 for u.
-3, -1, 1, 2, 5
Factor 36*a**4 - 15*a**4 + 3475*a - 16*a**4 + 659 - 1155*a**3 - 15*a**2 - 2969.
5*(a - 231)*(a - 1)**2*(a + 2)
Let r be 332/(-6)*(15/(-6) - 2). Let n = r + -247. Factor 0 + 3/8*p**n - 3/4*p + 3/2*p**3 - 9/8*p**4.
-3*p*(p - 1)**2*(3*p + 2)/8
Let n(s) = -39*s + 10647. Let d be n(273). Factor d*c**4 + 9/7*c**3 + 0*c - 3/7*c**5 + 6/7*c**2 + 0.
-3*c**2*(c - 2)*(c + 1)**2/7
Let r(n) = -n**3 + 3*n**2 + 8. Let u(c) = 27*c**4 + 78*c**3 - 90*c**2 + 35*c + 20. Let x(i) = 3*r(i) - u(i). Factor x(j).
-(j + 4)*(3*j - 1)**3
Let f be ((-4)/(-2) + 0)/(17/51) - 6. Let n(r) be the second derivative of -3/8*r**3 + 3/80*r**5 + 0 + f*r**4 - 25*r - 3/4*r**2. Factor n(w).
3*(w - 2)*(w + 1)**2/4
Let s = -12318 + 184774/15. Let a(i) be the second derivative of 0*i**2 + 0 + 5*i + 2/75*i**6 + s*i**4 - 4/25*i**5 + 0*i**3. Factor a(x).
4*x**2*(x - 2)**2/5
Let y(r) be the first derivative of r**6 + 324*r**5/25 - 51*r**4/10 - 132*r**3/5 + 5535. Solve y(p) = 0 for p.
-11, -1, 0, 6/5
Suppose -4*n + 5*i - 1325 = -1295, 3*n + 18 = 3*i. Let m(c) be the second derivative of n - 14*c + 1/72*c**4 - 1/12*c**2 - 1/30*c**5 + 1/9*c**3. Factor m(k).
-(k - 1)*(k + 1)*(4*k - 1)/6
Let t be ((-3)/18)/(-146 - -145). Let x(d) be the first derivative of -1/12*d**4 + 4 + 0*d + 2/9*d**3 - t*d**2. Factor x(m).
-m*(m - 1)**2/3
Let f(c) be the third derivative of 0*c**3 + 4 - 2*c**2 - 1/525*c**7 + 0*c**4 + 1/50*c**6 + 0*c - 4/75*c**5. Factor f(k).
-2*k**2*(k - 4)*(k - 2)/5
Let c = 209/10 - 8149/390. Let f(l) be the third derivative of -1/780*l**6 - 1/156*l**4 + 0 - 2*l**2 + c*l**5 + 0*l**3 + 0*l. Solve f(n) = 0 for n.
0, 1
Let o(c) be the third derivative of c**5/102 + 13*c**4/51 + 20*c**3/51 + 2*c**2 - 2*c - 344. Let o(s) = 0. Calculate s.
-10, -2/5
Let l(i) be the first derivative of 2*i**5/15 + 31*i**4/6 - 142*i**3/3 + 329*i**2/3 - 296*i/3 + 448. Suppose l(u) = 0. Calculate u.
-37, 1, 4
Suppose 4*o - 21 - 107 = 0. Solve -o - 8*r**2 + 18 - 52*r**3 - 44*r**4 + 14 = 0.
-1, -2/11, 0
Let w = -105 - -115. Suppose -w*x = x - 1760. Find i such that 0 - 157*i + x*i + 2*i**2 - i**3 + 0 = 0.
-1, 0, 3
Let l(r) be the second derivative of 19*r**6/225 + 4*r**5/15 - 43*r**4/30 + 62*r**3/45 + 8*r**2/15 - 410*r. Let l(z) = 0. What is z?
-4, -2/19, 1
Let o(x) = -3*x - 106. Let i be o(-41). Solve -330*l**3 - 7*l**2 - i*l**2 + 334*l**3 = 0 for l.
0, 6
Let w be 185/35 - (-2 - (-48)/21). Suppose 4*m + w + 3 = 5*g, -18 = -2*m - 3*g. Suppose -4*c**2 + 3*c + 18 + c**m + 2*c - 20 = 0. What is c?
1, 2
Let g(v) be the third derivative of 175*v**8/216 - 23*v**7/27 - 769*v**6/540 + 913*v**5/270 - 26*v**4/9 + 4*v**3/3 - 36*v**2 + 51. Find i such that g(i) = 0.
-1, 2/5, 3/7
Let y = 1725 - 1035. Suppose -33*b + y - 1440*b**2 + 755 - 5*b**4 - 170*b**3 + 203*b = 0. What is b?
-17, -1, 1
Let n = 8/1081 + 1041/5405. Let z(s) be the first derivative of -4/25*s**5 + n*s**4 + 0*s**2 + 0*s - 2/15*s**6 + 11 + 4/15*s**3. Suppose z(p) = 0. Calculate p.
-1, 0, 1
Let q(z) be the second derivative of -6*z**2 + 119*z - 1/4*z**4 - 1 - 2*z**3. Factor q(i).
-3*(i + 2)**2
Let i = -300 - -309. Suppose -20*v + 23*v = i. Solve 2/9*g**4 + 0*g + 4/9*g**v + 0 - 2/9*g**5 + 0*g**2 = 0.
-1, 0, 2
Let -1002*r + 228 + 276*r + 408*r + 549*r + 3*r**2 = 0. Calculate r.
-76, -1
Let j be (-1 + 2)*(-5 + 2). Let v(s) = 2*s**2 + 12*s - 7. Suppose 43*d - 31*d - 84 = 0. Let i(k) = k**2 + 6*k - 4. Let r(y) = d*i(y) + j*v(y). Factor r(f).
(f - 1)*(f + 7)
Let n(c) be the first derivative of -c**5/90 + c**4/6 - 5*c**3/9 + c**2/2 + 69*c - 88. Let d(r) be the second derivative of n(