se 3*u - w = 262, 2*w + 50 - 327 = -3*u. Find t, given that -54*t**2 - 15*t + 45 - 5*t**3 - 60*t**2 + u*t**2 = 0.
-3, 1
Determine g so that 56/3*g - 23/3*g**2 + 980/3 + 1/3*g**3 = 0.
-5, 14
Solve -12/19*n**3 + 70/19*n**2 - 96/19*n + 40/19 - 2/19*n**4 = 0.
-10, 1, 2
Suppose 22*g - 7414 = -7370. Let c = 613/5 - 122. Factor -c*l**g - 3/5 + 6/5*l.
-3*(l - 1)**2/5
Factor 146/7*v + 144/7 + 2/7*v**2.
2*(v + 1)*(v + 72)/7
Let r = -15 - -10. Let f = r - -7. Factor g + 4*g**3 - 3*g - f*g.
4*g*(g - 1)*(g + 1)
Let v(p) be the second derivative of 10*p - 1/200*p**5 + 0 + 1/20*p**3 + 0*p**2 - 1/60*p**4. Find g such that v(g) = 0.
-3, 0, 1
Let u(m) be the third derivative of -m**5/45 + 89*m**4/36 - 44*m**3/9 + m**2. Factor u(p).
-2*(p - 44)*(2*p - 1)/3
Let r(f) be the second derivative of -1/6*f**3 + 1/20*f**5 - 5/12*f**2 + 0 + 1/180*f**6 + 46*f + 1/18*f**4. Factor r(h).
(h - 1)*(h + 1)**2*(h + 5)/6
Let a(b) be the second derivative of b**8/84 - b**7/30 + b**6/45 - 5*b**3/2 - 9*b. Let g(v) be the second derivative of a(v). Suppose g(z) = 0. What is z?
0, 2/5, 1
Let o(u) be the first derivative of u**4/2 + 20*u**3/3 + 23*u**2 + 28*u - 177. Suppose o(x) = 0. Calculate x.
-7, -2, -1
Let k(n) = n**3 + 7*n**2 - 7*n + 7. Let s be k(-8). Let f be s - ((-3)/(-4))/((-6)/12). Factor f - 3/4*w + 0*w**2 + 1/4*w**3.
(w - 1)**2*(w + 2)/4
Find m, given that -2/3*m**4 - 92/3*m - 64/3 + 32/3*m**3 + 2*m**2 = 0.
-1, 2, 16
Let k be 3/(3/5 - 6/(-15)). Let -14*o**4 - 14*o**4 + 6*o**2 + o**5 - 4*o**5 + k*o**3 + 22*o**4 = 0. Calculate o.
-2, -1, 0, 1
Suppose -3*v + 72 = -9*v. Let g(p) = -p**3 - 11*p**2 + 10*p - 24. Let a be g(v). Factor 3/2*u + a - 1/2*u**2.
-u*(u - 3)/2
Let x(z) = -z**3 + 25*z**2 - 22*z - 46. Let c be x(24). Let -4/5 - 14/5*a - 2*a**c = 0. Calculate a.
-1, -2/5
Factor 20*i**2 + 138*i + 68*i - 321*i - 13 - 17.
5*(i - 6)*(4*i + 1)
Let p(w) be the first derivative of -w**6/90 - w**5/10 + 2*w**4/3 - 26*w**3/3 - 40. Let f(g) be the third derivative of p(g). Find s, given that f(s) = 0.
-4, 1
Let c(w) be the third derivative of -5*w**8/84 - 207*w**7/35 - 1073*w**6/96 + 49*w**5/60 + 265*w**4/32 + 61*w**3/12 - 9*w**2 + 50. Find x, given that c(x) = 0.
-61, -1, -1/4, 2/5
Let c(l) be the third derivative of l**7/630 + l**6/60 + l**5/45 - l**4/12 - 5*l**3/18 + l**2 - 1. Factor c(s).
(s - 1)*(s + 1)**2*(s + 5)/3
Let u(v) be the second derivative of 3*v**5/40 + 7*v**4/4 + 29*v**3/4 - 33*v**2 - 7*v + 56. Solve u(h) = 0.
-11, -4, 1
Let j = -6169 + 6169. Factor -3/2*n**2 + 3/2*n + j.
-3*n*(n - 1)/2
Let g be (15/(-35))/((-324)/168). Let y(k) be the first derivative of 5 + 1/3*k**2 - 1/6*k**4 - g*k**3 + 2/3*k. Factor y(j).
-2*(j - 1)*(j + 1)**2/3
Let w(d) be the first derivative of -3*d**3 + 39*d**2/2 - 36*d + 25. Factor w(m).
-3*(m - 3)*(3*m - 4)
Let z(i) = -1 - 11*i + 39*i**2 - 41*i**2 - 7. Let c be z(-4). Factor 4/5*h + 12*h**3 + 28/5*h**2 + 36/5*h**c + 0.
4*h*(h + 1)*(3*h + 1)**2/5
Let l(y) = -y**3 - 11*y**2 + 28*y + 15. Let d be l(-13). Let j(p) = 2*p**2 + 8*p + 11. Let c(o) = o**2 + 4*o + 6. Let u(s) = d*c(s) + 6*j(s). Factor u(t).
t*(t + 4)
Suppose 10*r = 8*r. Let t(b) be the second derivative of -2/21*b**3 - 3*b + 1/70*b**5 + r*b**2 + 0 + 1/42*b**4. Find c, given that t(c) = 0.
-2, 0, 1
Let p be (-10)/(-3 + 5) + 307. Let l = p - 299. Suppose 0 + 0*z + 3/2*z**l - 1/2*z**4 - z**2 = 0. What is z?
0, 1, 2
Suppose -2*a = 4*b - 6, 3*a + 24 = 4*b + 3. Let f = 1 - -2. Factor 35*d**4 - 22*d**b + 11*d**3 - 34*d**f + 10*d**2.
5*d**2*(d - 1)*(7*d - 2)
Suppose 59 = 10*a + 9. Suppose -5*s - v + 9 = -2*s, -5*s - a*v = -25. Factor 1/2*f**3 + 0*f**s + 0*f + 0.
f**3/2
Let q = 54 + -60. Let u(c) = -c**2 + 6. Let d(p) = p**2 - 11. Let v(t) = q*d(t) - 11*u(t). What is a in v(a) = 0?
0
Let l = -19 + 30. Determine g, given that 9 - l*g**3 - 5*g**3 + 313*g**2 - 14*g**3 - 382*g**2 - 30*g = 0.
-3/2, -1, 1/5
Let t(l) be the first derivative of -l**6/720 + l**5/60 + 8*l**3/3 + 13. Let j(x) be the third derivative of t(x). Solve j(w) = 0 for w.
0, 4
Let r(f) = 2*f + 29. Let w be r(-12). Factor 0*g**2 + w*g + 0*g**2 + 5 + 5*g**2 - 15.
5*(g - 1)*(g + 2)
Let l(m) be the second derivative of -1/42*m**4 + 0 + 5*m + 0*m**3 + 1/35*m**5 - 1/105*m**6 + 0*m**2. Find v, given that l(v) = 0.
0, 1
Let m(k) be the third derivative of 0*k**4 + 0 - 1/12*k**5 + 1/42*k**7 + 0*k**3 - 6*k**2 - 5/336*k**8 + 1/24*k**6 + 0*k. Suppose m(i) = 0. What is i?
-1, 0, 1
Let j(k) be the second derivative of -k**4/150 - 3*k**3/25 + 2*k**2/5 - 165*k - 2. Find m such that j(m) = 0.
-10, 1
Let x = -4792 - -91052/19. Suppose 2/19*h - 4/19*h**2 + x - 2/19*h**3 = 0. Calculate h.
-2, -1, 1
Let s = 236 - 3539/15. Let m(p) be the first derivative of s*p**3 + 1/10*p**2 - 1 + 0*p. Suppose m(t) = 0. Calculate t.
-1, 0
Let m(n) be the second derivative of 5*n**7/42 - n**6/2 + 4*n**5/5 - 2*n**4/3 + n**3/3 - 5*n. Let x(c) be the second derivative of m(c). Factor x(i).
4*(i - 1)*(5*i - 2)**2
Let t(q) be the second derivative of -2*q**6/15 + 11*q**5/5 - 8*q**4 - 24*q**3 + 57*q. Suppose t(r) = 0. What is r?
-1, 0, 6
Let s(y) be the first derivative of -y**5/10 + y**4/6 + 17*y + 6. Let l(b) be the first derivative of s(b). Determine n so that l(n) = 0.
0, 1
Let d(v) be the first derivative of -2/27*v**3 + 4/9*v**2 + 1 - 2/3*v. Factor d(r).
-2*(r - 3)*(r - 1)/9
Let f(s) be the second derivative of 20/9*s**3 + 0 + 17/72*s**4 + 1/120*s**5 + 16/3*s**2 - 23*s. Determine q, given that f(q) = 0.
-8, -1
Let i(x) be the first derivative of -x**3/4 - 75*x**2/8 + 39*x/2 - 113. Suppose i(r) = 0. What is r?
-26, 1
Let p(w) be the third derivative of w**6/60 + w**5/15 - w**4/12 - 2*w**3/3 - 3*w**2 + 39*w. Suppose p(y) = 0. What is y?
-2, -1, 1
Let f be 42/(-70) - (-17)/(-5). Let q(s) = 2*s**2 + 7*s - 2. Let o be q(f). What is a in 3/2*a**5 + 1/2*a - 2*a**3 - a**4 + 0 + a**o = 0?
-1, -1/3, 0, 1
Let l(f) = -7*f**3 + 35*f**2 + 113*f + 69. Let w(m) = m**3 - 6*m**2 - 19*m - 12. Let t(n) = 6*l(n) + 39*w(n). Factor t(d).
-3*(d + 2)*(d + 3)**2
Let j(o) = 18*o + 72. Let c be j(-4). Let u(v) be the second derivative of 7*v + c + 1/24*v**4 - 1/4*v**2 - 1/80*v**5 + 1/24*v**3. Factor u(i).
-(i - 2)*(i - 1)*(i + 1)/4
Let r(b) = 10*b**3 + 99*b**2 - 109*b - 11. Let d(j) = -5*j**3 - 49*j**2 + 54*j + 6. Let l(c) = 11*d(c) + 6*r(c). Solve l(q) = 0 for q.
-12, 0, 1
Let x(a) = -3*a**2 + 114*a + 279. Let y(g) = -7*g**2 + 230*g + 558. Let v(d) = 13*x(d) - 6*y(d). Determine u, given that v(u) = 0.
-31, -3
Solve -62 - 2/3*b**2 - 188/3*b = 0.
-93, -1
Solve 7/3*r**2 - 10/3*r + 0 - 1/3*r**3 = 0.
0, 2, 5
Let j(x) = -3*x**2 + 14*x + 5. Let m = -137 + 132. Let p(d) = d**2 - 7*d - 2. Let w(f) = m*p(f) - 2*j(f). Factor w(z).
z*(z + 7)
Let f(h) = -h**2 + 4*h - 2. Let j be f(2). Suppose -j*d = -5*v - 0*d + 4, 0 = -4*d - 8. Factor -4/7*k**2 + v + 2/7*k + 2/7*k**3.
2*k*(k - 1)**2/7
Suppose 756 - 684 = 24*a. Factor 1/10*i**4 - 3/10*i**2 - 1/10*i**a + 1/10*i + 1/5.
(i - 2)*(i - 1)*(i + 1)**2/10
Let o(z) = -16*z**2 + 224*z - 408. Let x(m) = -m**2 + 2*m - 2. Let q(w) = -o(w) + 12*x(w). Factor q(d).
4*(d - 48)*(d - 2)
Let g(l) be the first derivative of 9/17*l**2 + 0*l - 2/51*l**3 - 23. Factor g(v).
-2*v*(v - 9)/17
Let x(v) be the third derivative of v**6/1980 - 5*v**3/2 + 12*v**2. Let j(p) be the first derivative of x(p). Factor j(r).
2*r**2/11
Let q be 4/((-6 - -3)/(-12)). Let a = 19 - q. Solve -8*y**a + 5*y**5 - 2*y**2 + 2*y**4 + 7*y**5 - 4*y**5 = 0.
-1, -1/4, 0, 1
Let a(c) be the third derivative of -c**7/1260 + c**6/240 + c**5/24 + 17*c**4/144 + c**3/6 + c**2 + 44*c. Suppose a(l) = 0. Calculate l.
-1, 6
Solve -17292/5*a**2 - 3610 - 2/5*a**4 + 376/5*a**3 - 7144*a = 0.
-1, 95
Let -9/2 + 15/8*b + 9/4*b**2 + 3/8*b**3 = 0. Calculate b.
-4, -3, 1
Let x be (-9)/12*(-2)/(-9). Let m = x - -5/3. Factor 0*u + 0 - 3/4*u**5 - 3/4*u**3 - m*u**4 + 0*u**2.
-3*u**3*(u + 1)**2/4
Let b(a) = -61*a**2 + 188*a - 64. Let l(f) = -20*f**2 + 62*f - 20. Let n(g) = -2*b(g) + 7*l(g). Factor n(u).
-2*(u - 3)*(9*u - 2)
What is t in 46*t**3 - 196*t**2 - 30*t**3 - 2304 - 2496*t - 20*t**3 = 0?
-24, -1
Let q(h) be the third derivative of h**7/84 + 5*h**6/8 + 75*h**5/8 + 33*h**2 + 1. Determine b, given that q(b) = 0.
-15, 0
Factor -9/2*v - 6*v**2 + 3/2*v**3 + 27.
3*(v - 3)**2*(v + 2)/2
Let a(c) = 516*c**3 + 876*c**2 + 384*c - 56. Le