e c so that -1/6*c**2 - 3750 - 50*c = 0.
-150
Let k(f) = -4*f**2 + 4*f - 24. Let o(w) = 11*w**2 - 11*w + 72. Let a(g) = -17*k(g) - 6*o(g). Suppose a(j) = 0. What is j?
-3, 4
Let l be (80/(-12) - -6)/((-20)/3). Let m(n) be the second derivative of n + 0*n**4 + 0 - 1/5*n**2 - 1/100*n**5 + l*n**3. Solve m(r) = 0 for r.
-2, 1
Let q(x) = -x**5 - 26*x**4 + 46*x**3 - 28*x**2 + 3*x + 6. Let a(p) = -p**5 - 52*p**4 + 91*p**3 - 55*p**2 + 6*p + 11. Let j(w) = 6*a(w) - 11*q(w). Factor j(i).
i*(i - 3)*(i - 1)**2*(5*i - 1)
Let i(o) be the third derivative of -o**7/2520 - 11*o**6/1440 + 7*o**5/360 + o**4/12 - 5*o**2 - 11*o. Factor i(h).
-h*(h - 2)*(h + 1)*(h + 12)/12
Let r(k) = -2*k**2 - 2*k + 220. Let j be r(-11). Let l(q) be the first derivative of -48/5*q**5 + j*q - 17*q**4 + 3 - 4*q**3 + 4*q**2. Solve l(h) = 0 for h.
-1, -2/3, 0, 1/4
Let o(m) = m**4 - m**3 - m - 2. Let q(t) = 5*t**4 - 5*t**3 - 3*t**2 + t - 4. Let r(s) = -2*o(s) + q(s). Find c, given that r(c) = 0.
-1, 0, 1
Let v(p) be the first derivative of p**3/15 + p**2/5 - 24*p/5 - 26. Factor v(x).
(x - 4)*(x + 6)/5
Let w = -3 + 5. Suppose 0 = -w*k + 6*k - 8. Let 3*g**4 + 39 + 3*g**3 - 3*g - 3*g**k - 39 = 0. What is g?
-1, 0, 1
Factor -525*c**2 + 525*c**2 + 0*c**5 - c**5 + c**3.
-c**3*(c - 1)*(c + 1)
Let r = -15 - -18. What is c in 0*c**3 + 10*c**r - c**2 - 9*c**3 = 0?
0, 1
Factor -12 - 10 + 7*b**2 + 6 + 54*b.
(b + 8)*(7*b - 2)
Let k(m) be the second derivative of -m**6/45 - 2*m**5/15 + 3*m + 24. Determine b so that k(b) = 0.
-4, 0
Let r = -48 - -13. Let p = -103/3 - r. Solve -p - 2/3*m**3 + 2/3*m**2 + 2/3*m = 0.
-1, 1
Let f(h) be the second derivative of -h**7/280 + h**6/18 - 13*h**5/40 + 3*h**4/4 - 8*h**3/3 + 22*h. Let a(x) be the second derivative of f(x). Factor a(p).
-(p - 3)**2*(3*p - 2)
Suppose -i = -3*i + 16. Factor -5*b + b + 4*b + 12*b**4 + 4*b**3 - i*b**2.
4*b**2*(b + 1)*(3*b - 2)
Let a(r) be the second derivative of 1/75*r**6 + 0*r**2 + 0*r**3 + 0 + 1/30*r**4 + 1/25*r**5 + 2*r. Suppose a(q) = 0. Calculate q.
-1, 0
Determine c so that 6/7*c**5 + 0 + 22/7*c**4 + 16/7*c**3 + 0*c - 8/7*c**2 = 0.
-2, 0, 1/3
Solve 5*a - 17669 - 6*a**3 + 17639 + 30*a**2 + a**3 = 0.
-1, 1, 6
Let t(d) be the second derivative of d**7/42 + d**6/10 - 3*d**5/10 - 5*d**4/6 + 7*d**3/2 - 9*d**2/2 - 2*d - 29. Let t(o) = 0. What is o?
-3, 1
Let b(s) be the second derivative of -1/30*s**4 - 2/5*s**2 - 1/5*s**3 + 5*s + 0. Let b(k) = 0. What is k?
-2, -1
Let -8*b**3 + 0 + 2/3*b**5 + 64/3*b + 4/3*b**4 - 16/3*b**2 = 0. What is b?
-4, -2, 0, 2
Let f(g) = -5*g + 22. Let m be f(4). Let v be 0/(-2)*-1 - -5. Factor i + 2*i**3 + i**3 + v*i**m - i**2 + i**4 - i**2.
i*(i + 1)**3
Suppose 3*b = -3*z, 5*z - 2*z - 2*b = 15. Let l = 348 + -324. Factor 81*p**2 - 42*p - 8 + 14*p - 68*p**z - l*p + 47*p**2.
-4*(p - 1)**2*(17*p + 2)
Suppose 17*q = 18*q + 7. Let w(d) = 47*d**5 - 37*d**4 - 10*d**3. Let r(o) = 23*o**5 - 18*o**4 - 5*o**3. Let c(p) = q*r(p) + 3*w(p). Factor c(b).
-5*b**3*(b - 1)*(4*b + 1)
Suppose -10*v + 8 = -6*v - q, 3*q = -v + 15. Let a(h) be the first derivative of -4 - 1/3*h**4 + 8/9*h**v - 2/3*h**2 + 0*h. Factor a(f).
-4*f*(f - 1)**2/3
Suppose 5*y + 77 = 4*g - 34, 0 = 2*g + 4*y - 36. Let h(r) be the first derivative of 48*r**2 + 6*r**4 - 48*r - 3/5*r**5 - 6 - g*r**3. Factor h(d).
-3*(d - 2)**4
Let s be (2 + 56/(-12))*171/(-114). Find i such that -21/2*i**s + 12*i + 69/2*i**2 - 3/2*i**5 - 21/2*i**3 - 24 = 0.
-4, -1, 1
Let b(u) be the second derivative of u**5/50 + 13*u**4/30 - 29*u**3/15 + 3*u**2 + 95*u. Factor b(j).
2*(j - 1)**2*(j + 15)/5
Suppose g = 8*g - 21. Factor 24*j**g + 1 - 18*j + 12*j**2 - 5 + 0 - 14*j**2.
2*(j - 1)*(3*j + 2)*(4*j + 1)
Let x(k) be the second derivative of k**4/108 + 4*k**3/27 + 2*k**2/3 - 24*k + 2. Factor x(l).
(l + 2)*(l + 6)/9
Let d(x) be the first derivative of x**4/16 - x**3/2 - 2*x**2 - 233. Factor d(a).
a*(a - 8)*(a + 2)/4
Let y(b) be the second derivative of b**4/24 + 125*b**3/6 + 15625*b**2/4 + 509*b. Factor y(c).
(c + 125)**2/2
Let h(q) be the second derivative of -q**7/28 + 73*q**6/20 - 2589*q**5/20 + 5975*q**4/4 + 29375*q**3/4 + 46875*q**2/4 - 27*q. Factor h(t).
-3*(t - 25)**3*(t + 1)**2/2
Suppose -l + 10 + 10 = -4*k, 2*l + 3*k = -4. What is z in 2*z**2 + 4*z - l*z = 0?
0
Let i(k) = -10*k**4 - 10*k**3 + 80*k**2 - 96*k + 42. Let r(v) = -2*v**4 + 2*v**3 + v**2 - v + 1. Let f(n) = -i(n) + 6*r(n). Suppose f(q) = 0. Calculate q.
1, 3, 6
Suppose 5 = -8*r + 29. Factor 4 - 100*j**2 + r*j + 49*j**2 + 50*j**2.
-(j - 4)*(j + 1)
Suppose 0 = 3*l - 5*b + 14, -4*l + 2 + 14 = 2*b. Suppose w + 0*w = -l*w. Factor w + 2/5*v**5 - 14/5*v**2 + 4/5*v - 2*v**4 + 18/5*v**3.
2*v*(v - 2)*(v - 1)**3/5
Suppose -i = -2*i + 27. Let w(y) = -y**2 + 6*y + 9. Let s be w(7). Determine v so that 2*v + 42*v**3 - 108*v**4 + 1 - 5 + 30*v**2 + i*v**s + 11*v**2 = 0.
-1/2, -1/3, 2/9, 1
Let w(i) = -4*i**4 - 16*i**3 + 12*i**2 + 32*i + 8. Let g(j) = -j**4 + j**3 - j + 1. Let q(l) = 8*g(l) - w(l). Factor q(o).
-4*o*(o - 5)*(o - 2)*(o + 1)
Let h be (-290)/(-8) + 3/(-12). Let -10*t**4 + 40*t**2 - 36 + 20*t - 35*t**3 - 15*t**4 + h = 0. What is t?
-2, -2/5, 0, 1
Let v(r) be the first derivative of 2*r**3/63 - r**2/7 - 12*r/7 - 79. Solve v(i) = 0.
-3, 6
Let m(v) be the second derivative of -2*v**3 + 6*v**2 + 0 + 3/5*v**5 - 3/4*v**4 - 1/10*v**6 - 10*v. Suppose m(t) = 0. Calculate t.
-1, 1, 2
Let h = 43 - 13. Suppose 4*m + m = -5*y + h, m + 4*y = 18. Factor 0*c**4 - 1/2*c**5 + 1/2*c**3 + 0*c + 0 + 0*c**m.
-c**3*(c - 1)*(c + 1)/2
Let h(w) be the second derivative of -w**5/35 - w**4/3 + 16*w**3/21 + 211*w. Find r such that h(r) = 0.
-8, 0, 1
Factor -7396/9*d**3 - 116/3*d - 860*d**2 - 4/9.
-4*(d + 1)*(43*d + 1)**2/9
Factor 39*w**3 - 372*w + 392 - 154*w + 50*w + 4*w**4 - 12*w**2 + 48*w**2 + 5*w**3.
4*(w - 2)*(w - 1)*(w + 7)**2
Let a(g) = -2*g**3 + 48*g**2 - 194*g + 256. Let n(j) = -j**3 + j. Let q(d) = -a(d) - 2*n(d). Factor q(t).
4*(t - 4)**3
Suppose -s = -0*s - 3, 3 = -4*j + s. Let k(i) = 2*i + 8. Let c be k(j). Factor 3*g**2 - c*g + 4*g - 3*g + g.
3*g*(g - 2)
Suppose 3*c + 17*c + 60 = 0. Let p be (9/10)/c*-2*2. Factor 0*h**4 + 0 + 0*h - p*h**3 + 4/5*h**2 + 2/5*h**5.
2*h**2*(h - 1)**2*(h + 2)/5
Let p = -9495 + 9499. Let s be (-19)/(-14) + 2/(-4). Factor 6/7*q**2 - s*q**3 - 2/7*q + 2/7*q**p + 0.
2*q*(q - 1)**3/7
Find r, given that -19*r - 18*r + 129*r - 4*r**2 - 32*r = 0.
0, 15
Let g be (1/((-3)/(-15)))/1. Determine d so that 4 - 7*d**2 + 3*d**4 + 4 + d**2 - g = 0.
-1, 1
Let t(g) be the third derivative of g**8/20160 + g**7/630 + g**6/60 + 19*g**4/12 - 49*g**2. Let f(i) be the second derivative of t(i). Factor f(a).
a*(a + 6)**2/3
Let o(t) = -t**3 - 9*t**2 + t + 11. Let j be ((-18)/(-8))/((-4)/16). Let l be o(j). Find a, given that -4/3 - 1/3*a**l - 4/3*a = 0.
-2
Let y(w) = -w**2 + 16*w - 25. Let p(a) = -7*a + 6*a + 2*a. Suppose 4 = 2*l, 0 = -2*b - 4*l + 20. Let u(i) = b*p(i) - y(i). Factor u(h).
(h - 5)**2
Let h(y) be the third derivative of y**6/120 - y**5/3 + 47*y**4/24 + 34*y**3/3 + y**2 + 25. Factor h(u).
(u - 17)*(u - 4)*(u + 1)
Find k, given that 6 + 17*k**2 - 2*k**3 - 16 - 3*k + k - 7*k**2 + 4*k**3 = 0.
-5, -1, 1
Let o(h) be the second derivative of -h**4/24 + 11*h**3/12 - 15*h**2/2 - 111*h. Determine u, given that o(u) = 0.
5, 6
Let t(p) = -3*p + 3. Let x(v) = 16*v - 15. Let b(k) = 11*t(k) + 2*x(k). Let g be b(0). What is w in -w**2 - 2*w**2 + 6*w - 4 + 6*w**g + 19*w**2 = 0?
-2, -1, 1/3
Let v(d) be the first derivative of d**4/18 - 8*d**3/9 + 16*d**2/3 + d + 5. Let n(g) be the first derivative of v(g). Factor n(o).
2*(o - 4)**2/3
Let u(x) be the third derivative of -x**6/84 - 2*x**5/35 + 11*x**4/84 + 2*x**3/7 - 408*x**2. Solve u(p) = 0 for p.
-3, -2/5, 1
Suppose 0 = -43*q - 9*q + 144 + 12. Factor 6/7*c**2 + 1/7*c**q + 5/7*c + 0.
c*(c + 1)*(c + 5)/7
Factor 40/7 - 18/7*u + 2/7*u**2.
2*(u - 5)*(u - 4)/7
Let g(o) = -22*o**3 - 127*o**2 + 279*o. Let u(q) = -5*q**3 - 32*q**2 + 70*q. Let r(w) = -4*g(w) + 18*u(w). Determine s so that r(s) = 0.
-36, 0, 2
Let w = 42 - 38. Suppose -8 = -5*g - 3*v + 10, -8 = -w*g + 4*v. Solve 0 + 3/2*n**4 + 7/2*n**g - n - 5/2*n**5 - 3/2*n**2 = 0 for n.
-1, -2/5, 0, 1
Let o = 9 + -9. Determine c so that o*c**2 - 6*c**2 + 6*c + 3*c**2 = 0.
0, 2
Let l(j) be the third derivative of j**5/300 + 13*j**4/120 + 2*j**3/5 - 