42)/(-16). Factor -8*r**u + 15*r**3 - 14*r - 5*r**3 + 3*r**2 - 8*r**2 + 8.
(r - 4)*(r + 2)*(2*r - 1)
Let s be 2400/(-450)*(-12)/10. Factor 408*t**2 - 180*t**3 - 496/5*t + s.
-4*(t - 2)*(15*t - 2)**2/5
Suppose 2 = -95*u + 97*u. Let c be 5/u - 903/189. Find l, given that 2/9*l**2 + c*l**3 - 2/9 - 2/9*l = 0.
-1, 1
Let k(n) be the second derivative of n**5/20 - n**4/12 - 5*n**3/6 - 3*n**2/2 + 10*n + 2. Determine x, given that k(x) = 0.
-1, 3
Let r be 2/(-4) + 12/8 - -4. Factor 12*j**5 - 27*j**r - 4*j**2 + 4 + 13*j**5 - 6*j + 8*j**3.
-2*(j - 1)**3*(j + 1)*(j + 2)
Let i(w) = -w. Let m(o) = -4*o**4 - 8*o**3 + 4*o**2 + 20*o. Let x(q) = 12*i(q) + m(q). Factor x(b).
-4*b*(b - 1)*(b + 1)*(b + 2)
Let x(h) = -8*h**2 + 160*h - 580. Let u(n) = -52*n**2 + 1040*n - 3772. Let i(o) = 5*u(o) - 32*x(o). Factor i(k).
-4*(k - 15)*(k - 5)
Suppose 4*s + 7 = j, -2*j - 2*j + 5*s = -17. Let f be 24/9*j/5. Let -f*k**2 - 2*k - 2/5 = 0. Calculate k.
-1, -1/4
Let q(i) be the third derivative of 1/50*i**6 - 4 - 1/350*i**7 - 7/20*i**4 + 4/5*i**3 + 2*i**2 + 0*i + 3/100*i**5. Determine j, given that q(j) = 0.
-2, 1, 4
Let n(q) be the first derivative of q**6/900 + q**5/100 + q**4/30 + 13*q**3/3 - 11. Let z(o) be the third derivative of n(o). Let z(y) = 0. What is y?
-2, -1
Let -5*q + 3*q + 18*q**3 - 16*q**3 = 0. What is q?
-1, 0, 1
Let r(g) = 8 - 55*g + 65*g + 18 - 3. Let m be r(-2). Factor -4/7*d + 6/7*d**2 - 2/7*d**m + 0.
-2*d*(d - 2)*(d - 1)/7
Factor 2/3*k**2 + 14/3 - 16/3*k.
2*(k - 7)*(k - 1)/3
Let p = -37 + 39. Factor -3 - p*k + k**3 + 9 - 6 - k**2.
k*(k - 2)*(k + 1)
Let y(h) be the first derivative of 0*h**3 + 0*h**2 - 4/5*h**5 + 0*h + 13 - h**4. Solve y(v) = 0 for v.
-1, 0
Let h(c) be the second derivative of c**8/17920 + c**7/3360 - c**4/2 + 11*c. Let p(w) be the third derivative of h(w). Factor p(i).
3*i**2*(i + 2)/8
Let z(b) be the second derivative of b**6/40 - 3*b**5/20 + 2*b**3 + 11*b**2/2 + 12*b. Let a(u) be the first derivative of z(u). Factor a(w).
3*(w - 2)**2*(w + 1)
Let x(g) = -g - 13. Let i be x(-17). Let b be (-2)/i*(126/(-15) - -8). Factor -2/5 - b*m + 1/5*m**2.
(m - 2)*(m + 1)/5
Let n(d) be the first derivative of -d**6/60 + d**4/4 - 2*d**3/3 + 13*d**2/2 - 46. Let p(w) be the second derivative of n(w). Determine j, given that p(j) = 0.
-2, 1
Let a = -66 - -69. What is k in -2*k**4 + 52*k**2 + 56*k**a + 6*k**4 + 16 - 48*k - 80*k**3 = 0?
1, 2
Let g(x) be the third derivative of x**5/210 - 11*x**4/14 + 65*x**3/21 + 366*x**2. Factor g(v).
2*(v - 65)*(v - 1)/7
Let i(v) be the second derivative of 0 - 4/5*v**2 - 11/15*v**3 - 27*v - 1/50*v**5 - 3/10*v**4 + 1/75*v**6. Determine u so that i(u) = 0.
-1, 4
Let v(p) = 12*p + 7. Let w(x) = 7*x + 3. Let g(a) = 4*v(a) - 7*w(a). Let k be g(5). Find r such that -24/13*r + 2/13*r**4 + k*r**2 + 8/13 - 12/13*r**3 = 0.
1, 2
Let l(f) be the third derivative of -f**8/60480 - 7*f**5/12 - 34*f**2. Let n(t) be the third derivative of l(t). Factor n(c).
-c**2/3
Let k(s) be the third derivative of 0*s**3 + 1/12*s**4 + 1/20*s**6 + 1/10*s**5 + 10*s**2 + 0*s + 1/105*s**7 + 0. Factor k(x).
2*x*(x + 1)**3
Let h(j) be the second derivative of 2*j**7/21 + 14*j**6/15 + 12*j**5/5 + 31*j + 1. Factor h(x).
4*x**3*(x + 3)*(x + 4)
Factor -33*y + 3/2*y**4 - 15*y**3 + 21/2 + 36*y**2.
3*(y - 7)*(y - 1)**3/2
Let x(w) be the third derivative of -w**5/12 + 5*w**4/6 + 75*w**3/2 - w**2 + 868. Factor x(h).
-5*(h - 9)*(h + 5)
Let g(d) = 5*d**3 - 12*d**2 - 42*d - 58. Let z(y) = y**3 + y + 1. Suppose -6 = 3*q - 3. Let c(l) = q*g(l) + 6*z(l). Factor c(m).
(m + 4)**3
Let g(r) = 3*r**3 - 3 - 2*r**2 - r + 6*r - 4*r**3. Let f be g(-4). Determine z so that 3*z**3 - f*z - 4*z**3 - 2*z**2 + 8*z = 0.
-1, 0
Solve 0 + 0*q**2 - 14*q**3 + 0*q - 44/3*q**4 - 2/3*q**5 = 0 for q.
-21, -1, 0
Let c = 183/92 - 40/23. Let n be (3/(-14))/(2/(-7)). Factor 1/2 + 1/4*l**4 + 1/4*l**3 - c*l - n*l**2.
(l - 1)**2*(l + 1)*(l + 2)/4
Let l(t) be the first derivative of 3*t**4/16 + 3*t**3/2 - 24*t + 23. Let l(s) = 0. What is s?
-4, 2
Let g(o) = 7*o**3 - 6*o**2 + 12*o - 1. Let p(k) = -2*k**3 - k - 1. Let j(x) = -g(x) - 3*p(x). Factor j(s).
-(s - 4)*(s - 1)**2
Let j(w) be the second derivative of -7*w**4/12 + w**3/3 - w**2/2 - 14*w. Let k(l) = 8*l**2 - 2*l + 2. Let c(b) = 6*j(b) + 5*k(b). Factor c(p).
-2*(p - 2)*(p + 1)
Let r(q) be the third derivative of 0 + 0*q**3 + 1/105*q**5 + 0*q**4 + 1/392*q**8 + 2*q**2 - 3*q + 1/60*q**6 + 8/735*q**7. Solve r(i) = 0.
-1, -2/3, 0
Let v(g) be the first derivative of g**6/1620 + g**5/540 + 5*g**3 - 9. Let k(w) be the third derivative of v(w). Suppose k(j) = 0. What is j?
-1, 0
Find q, given that 176602*q + 2*q**3 + q**2 - 3*q**2 - 176662*q = 0.
-5, 0, 6
Let b(n) = 6*n**4 + 7*n**3 + 5*n**2 - 5*n. Let j be 2/(-5 + 3) + 0. Let a(d) = -d**4 - d**3 - d**2 + d. Let f(m) = j*b(m) - 5*a(m). Let f(v) = 0. Calculate v.
-2, 0
Let w(h) be the third derivative of h**6/660 + 13*h**5/330 + 10*h**4/33 + 12*h**3/11 - 138*h**2. Factor w(a).
2*(a + 2)**2*(a + 9)/11
Let w(k) be the first derivative of -98*k**6/3 - 56*k**5 + 3*k**4 + 80*k**3/3 - 8*k**2 + 1. Factor w(r).
-4*r*(r + 1)**2*(7*r - 2)**2
Let c be ((-2)/(-18))/((-11)/(-22) - 0). Determine o so that 1/9*o**5 + 1/9*o**4 - 2/9*o**3 - c*o**2 + 1/9 + 1/9*o = 0.
-1, 1
Factor -1/7*t**3 - 5/7*t**2 + 5/7 + 1/7*t.
-(t - 1)*(t + 1)*(t + 5)/7
Let t = 269 + -129. Let p be (-9)/6 - (-250)/t. What is n in 30/7*n**2 + 8/7 - 2*n**3 + p*n**4 - 26/7*n = 0?
1, 4
Find i such that 8/5*i**2 + 6/5*i**3 - 24/5*i + 0 - 2/5*i**4 = 0.
-2, 0, 2, 3
Let z be ((-45)/(-10))/(-9)*-4. Let b be (-1 + 12/16)*(-8)/11. Suppose 0*d - 2/11 + b*d**z = 0. Calculate d.
-1, 1
Let s(l) be the second derivative of l**7/525 - l**6/300 - l**5/50 + l**4/12 - 2*l**3/15 - 5*l**2 + 6*l. Let g(w) be the first derivative of s(w). Factor g(o).
2*(o - 1)**3*(o + 2)/5
Let s(r) be the first derivative of -3*r**4/8 - 26*r**3/3 + 93*r**2/4 - 19*r + 125. Factor s(b).
-(b - 1)*(b + 19)*(3*b - 2)/2
Let w be (-126)/(-26) - 4/(-26). Let h be 1/(3 + w/(-2)). Factor 30*v - h*v**4 + 2*v**5 - 30*v.
2*v**4*(v - 1)
Suppose -9 = -3*v - 3*s, -5*v + 11 = -2*s + 3*s. Factor -43*p - 24*p - 243 + 13*p - 6*p**2 + 3*p**v.
-3*(p + 9)**2
Let m = -20 + 33. Factor m*r + 3 - 3 + 5*r**2 - 18*r.
5*r*(r - 1)
Suppose 4*r - 90 = r. Suppose -2 = -2*p + 3*z, -p - 2*p = -z - 10. Find d such that 2*d**3 - 30*d**4 - 2*d**5 + r*d**p = 0.
-1, 0, 1
Let k(v) be the first derivative of -v**5/25 + v**4/2 - 8*v**3/5 + 11*v**2/5 - 7*v/5 - 29. Determine s so that k(s) = 0.
1, 7
Suppose -2*o - 28/3*o**3 + 0 + 23/3*o**2 + 11/3*o**4 = 0. What is o?
0, 6/11, 1
Let r(i) be the first derivative of -i**6/40 + 3*i**5/80 + i**4/8 - 16*i - 28. Let d(c) be the first derivative of r(c). Solve d(g) = 0.
-1, 0, 2
Let d(u) be the first derivative of u**7/70 + u**6/25 - u**4/10 - u**3/10 - 30*u - 11. Let j(n) be the first derivative of d(n). Factor j(y).
3*y*(y - 1)*(y + 1)**3/5
Suppose -1/3*a**2 - 80*a - 4800 = 0. What is a?
-120
Let u(b) be the third derivative of 0 - 2*b**3 - 1/70*b**7 + 0*b + 3/20*b**6 - 12*b**2 + 3/2*b**4 - 13/20*b**5. Find h such that u(h) = 0.
1, 2
Let -6481 + 12*n - 12*n**2 + 3*n**3 + 6481 = 0. Calculate n.
0, 2
Let v(f) = -13*f**2 - 1346*f - 73912. Let y(t) = 7*t**2 + 674*t + 36955. Let m(r) = 4*v(r) + 7*y(r). Factor m(p).
-3*(p + 111)**2
Let f(d) be the first derivative of 25*d**6/63 - 32*d**5/21 - d**4/42 + 88*d**3/63 + 4*d**2/7 + 12. Suppose f(o) = 0. Calculate o.
-2/5, 0, 1, 3
Let d(j) be the second derivative of -1/24*j**4 - 1/2*j**2 - 52*j - 1/4*j**3 + 0. Factor d(l).
-(l + 1)*(l + 2)/2
Let m(w) = -3*w - 43. Let i be m(-15). Factor 0*a - 3/4*a**i - 3/4*a**4 - 3/2*a**3 + 0.
-3*a**2*(a + 1)**2/4
Let x = 262 - 6287/24. Let k(h) be the second derivative of -1/3*h**3 - h**2 - 3*h + 0 - x*h**4. Factor k(c).
-(c + 2)**2/2
Let s(l) be the first derivative of -l**4/30 + 8*l**3/15 - 16*l**2/5 - l - 21. Let u(o) be the first derivative of s(o). Factor u(c).
-2*(c - 4)**2/5
Suppose 56*v**2 + 28*v**3 + 32*v - 2 + 7 - 5 + 2*v**4 + 2*v**4 = 0. Calculate v.
-4, -2, -1, 0
Suppose -s - 4*s = 5. Let y(r) = -17*r**3 - 3*r - 2. Let k be y(s). Factor 2*z**2 - 2*z + k - 8 - 10.
2*z*(z - 1)
Let d(i) be the third derivative of i**5/270 - 5*i**4/9 + 100*i**3/3 - 150*i**2 + 1. Solve d(h) = 0 for h.
30
Let c(w) be the third d