Let r(u) = l(u) + 6*y(u). What is a in r(a) = 0?
-5, 0, 2/3, 3
Let w = -20029 + 20031. Factor -2/9*d**3 - 8/9*d**w - 4/9 - 10/9*d.
-2*(d + 1)**2*(d + 2)/9
Let i(b) be the second derivative of 16/35*b**5 - 18*b + 0 + 4/21*b**3 + 11/21*b**4 + 0*b**2 + 2/15*b**6. Determine u, given that i(u) = 0.
-1, -2/7, 0
Factor 23985*w - 23922*w - 5*w**3 - 10*w**3 - 3*w**2 - 3*w**4 + 54.
-3*(w - 2)*(w + 1)*(w + 3)**2
Let f(r) = -r**3 - 15*r**2 - 18*r - 16. Let m be f(-14). Suppose 0 = -m*l + 42*l. Factor -2/7*d**3 + l*d**2 + 0 + 2/7*d.
-2*d*(d - 1)*(d + 1)/7
Let k(y) be the first derivative of -y**6/24 - 9*y**5/20 - 3*y**4/16 + 73*y**3/12 - 12*y**2 + 9*y + 164. Solve k(o) = 0 for o.
-6, 1
Let d(x) be the first derivative of -45/16*x**4 - 16 + 0*x + 3/4*x**2 - 1/4*x**3. Suppose d(w) = 0. Calculate w.
-2/5, 0, 1/3
Let m(a) be the first derivative of 15*a**4/4 + 10*a**3/3 - 35*a**2/2 + 10*a + 13. Factor m(x).
5*(x - 1)*(x + 2)*(3*x - 1)
Let o = -100 - -106. Let a be 12/15*o*(-4)/(-32). Factor 1/10*z**2 - a*z + 9/10.
(z - 3)**2/10
Let r(m) = m - 12. Let v be r(11). Let y(a) = a**2 - 2*a - 1. Let o be y(v). Find g, given that -1/6*g**3 + 0*g + 1/6*g**5 + 1/6*g**4 - 1/6*g**o + 0 = 0.
-1, 0, 1
Let x(s) = -3*s**3 - 13*s**2 + 20*s - 20. Let v(o) = o**3 + o**2 + 2. Let a(l) = -4*v(l) - x(l). Find f such that a(f) = 0.
1, 2, 6
Suppose 2*i + 34 - 130 = -22*i. Factor 5/2*o**3 - 5/2*o + 5/2*o**2 - 5/2*o**i + 0.
-5*o*(o - 1)**2*(o + 1)/2
Let c(g) = -2*g**5 - 12*g**4 - g**3 + 36*g**2 + 42*g + 5. Let m(b) = -3*b**5 - 24*b**4 - 3*b**3 + 72*b**2 + 81*b + 9. Let i(w) = -9*c(w) + 5*m(w). Factor i(v).
3*v*(v - 3)**2*(v + 1)**2
Let k(m) be the first derivative of m**6/120 - m**5/20 - 5*m**4/12 - 41*m**2/2 + 23. Let o(s) be the second derivative of k(s). Factor o(g).
g*(g - 5)*(g + 2)
Let c(o) = 4*o**3 - o**2 - o. Let y be c(1). Find x such that -53*x**3 + x**2 - 4*x**4 + 48*x**3 - y*x**2 = 0.
-1, -1/4, 0
Suppose -13 + 6 = -n - 4*c, 13 = 5*n - 2*c. Let w(u) be the first derivative of 5/3*u**2 - 8 - 8/27*u**n + 8/9*u. Factor w(v).
-2*(v - 4)*(4*v + 1)/9
Let y(x) be the third derivative of -5*x**8/336 - x**7/14 - x**6/12 + x**5/6 + 5*x**4/8 + 5*x**3/6 - 45*x**2 + x. Let y(a) = 0. What is a?
-1, 1
Let k(a) be the third derivative of -61/300*a**6 + 0 - 4*a**2 + 0*a**3 - 1/15*a**4 + 6/35*a**7 + 0*a - 5/168*a**8 - 6/25*a**5. Factor k(l).
-2*l*(l - 2)**2*(5*l + 1)**2/5
Let x be 2/(96/18)*(-165)/(-90). Let p(c) be the first derivative of -11 + 0*c - 1/2*c**2 + 3/20*c**5 + 2/3*c**3 + x*c**4. Factor p(i).
i*(i + 2)**2*(3*i - 1)/4
Factor 16 + 27*a + 0*a**3 - 83*a**2 - 11*a + 23*a**2 + 20*a**4 + 8*a**3.
4*(a - 1)**2*(a + 2)*(5*a + 2)
Let n be ((-11)/9)/(9/((-54)/(-4))). Let p = n + 5/2. Determine x, given that 16/3*x**2 + 4*x + p - 4/3*x**3 - 6*x**4 - 8/3*x**5 = 0.
-1, -1/4, 1
Suppose 3*j + 5*p - 43 = 0, 0 = -4*j - 2*p + 50 - 16. Let x = 9 - j. Factor 0*i**3 - 3*i + 9*i**x - 6*i**3.
3*i*(i - 1)*(i + 1)
Suppose 0 = -5*x + 10 + 10. Suppose -2*z + z - x*i + 227 = 0, -5*z + 4*i + 1159 = 0. Solve -189/2*p**4 - 12 + 495/2*p**3 - z*p**2 + 90*p = 0 for p.
2/7, 2/3, 1
Suppose 0 = -f + 2*z + 16, 6*f + 4*z - 88 = 2*f. Suppose -3*p + 3*s + 5 = -7, 0 = -3*p - 5*s - f. Factor -2*i**3 + i**3 + p*i**2 - 6*i**2 - i**3.
-2*i**2*(i + 3)
Let u(w) be the third derivative of -1/1890*w**7 + 1/270*w**6 + 0*w**4 + 0*w - 1/135*w**5 + 0 - 25*w**2 + 0*w**3. Solve u(l) = 0 for l.
0, 2
Let l be (-2)/(-5 + (-330)/(-70)). Let p(g) be the second derivative of 0*g**3 + 0 + 0*g**2 - l*g + 0*g**5 - 2/75*g**6 + 1/15*g**4. Factor p(f).
-4*f**2*(f - 1)*(f + 1)/5
Suppose 84*o = 14*o + 140. Let 4/3*f + 0 - 4/3*f**3 + 4/3*f**o - 4/3*f**4 = 0. What is f?
-1, 0, 1
Suppose 5*t - c = 303, 3*t - 181 = c - 0*c. Let g = -61 + t. Factor 0 + 1/3*i**2 + g*i.
i**2/3
Let o(l) be the second derivative of 1/16*l**5 - 45/8*l**2 + 25/48*l**4 + 5/8*l**3 + 3*l + 0. Suppose o(s) = 0. Calculate s.
-3, 1
Let w = -43 + 45. Factor 8 - 100*o**w + 16*o + 112*o**2 - 2*o**4 - 2.
-2*(o - 3)*(o + 1)**3
Suppose -89*b = -93*b + 16. Suppose -5 = -j + 3. Let 2*m**b - 8*m + j*m + 2*m**3 = 0. Calculate m.
-1, 0
Let l(m) be the first derivative of -1/420*m**5 + m**2 + 0*m + 0*m**4 - 1 - 1/840*m**6 + 0*m**3. Let s(r) be the second derivative of l(r). Factor s(t).
-t**2*(t + 1)/7
Suppose 2*u - 2 = -f, -5*f - 2 = -u + 10. Let x be (-44)/(-16) + f/(-8). Suppose -8*p**2 + p + 7 - 5 + 6*p**4 - p**x + 3*p - 3*p**3 = 0. What is p?
-1, -1/3, 1
Factor 6*t**3 - 3*t**3 + 576*t + 2689 - 6480 + 2735 - 90*t**2.
3*(t - 22)*(t - 4)**2
Let s(p) be the first derivative of 5*p**4/4 - 13*p**3/3 - 3*p**2 + 17. Factor s(i).
i*(i - 3)*(5*i + 2)
Let q(t) be the first derivative of -t**5/25 - 9*t**4/10 - 112*t**3/15 - 27*t**2 - 35*t + 375. Factor q(y).
-(y + 1)*(y + 5)**2*(y + 7)/5
Let m = -8 - -11. Let a be -2 + 8 + -2 + 0. Factor -4*w**3 + 2*w**m - a*w**5 + 6*w**5.
2*w**3*(w - 1)*(w + 1)
Solve 133*z**2 + 39*z + 200 - 1058*z**2 + 725*z**4 + 451*z - 455*z**3 - 35*z**5 = 0.
-1, -2/7, 1, 20
Let i be (1/5)/(54/(-108))*-5. What is c in 27/4*c**i - 9/4*c**4 + 3/2*c**3 + 0*c - 3 = 0?
-1, 2/3, 2
Let f be ((-19)/((-190)/15))/((-3)/(-10)). Let k(s) be the first derivative of 1/24*s**4 + 1/30*s**f - 7 - 1/18*s**3 + 0*s - 1/12*s**2. Factor k(o).
o*(o - 1)*(o + 1)**2/6
Suppose 19/5*y**2 - 7/5*y**4 - 12/5 - 3/5*y**3 + 4/5*y - 1/5*y**5 = 0. What is y?
-6, -2, -1, 1
Find l such that -48*l**3 - 4*l**4 + 5*l - 5*l + 44*l**3 = 0.
-1, 0
Let x = 41/62 - 245/558. Let 0*v + 0*v**2 + 0 + x*v**3 = 0. What is v?
0
Let s be (3/(-12) - 1)/((-1)/4). Let w(x) be the first derivative of 2/65*x**s + 4/13*x**2 + 4/13*x**3 + 2 - 16/13*x - 5/26*x**4. Factor w(j).
2*(j - 2)**3*(j + 1)/13
Determine m, given that 8 - 2556*m**2 - 14*m**4 + 2520*m**2 + 88*m**3 - 18*m**4 - 28*m = 0.
-1/2, 1/4, 1, 2
Suppose -3 - 111 = 6*a. Let u = a - -21. Let -u*v + 10/7*v**2 - 2/7*v**3 + 6/7 = 0. What is v?
1, 3
Factor -1/10 - 1/10*n**5 - 1/10*n + 1/5*n**2 + 1/5*n**3 - 1/10*n**4.
-(n - 1)**2*(n + 1)**3/10
Suppose 0 = 94*p - 97*p + 15. Let j(a) be the first derivative of 5/24*a**3 + 7/40*a**p + 1/24*a**6 - 6 + 0*a + 1/16*a**2 + 9/32*a**4. Factor j(h).
h*(h + 1)**3*(2*h + 1)/8
Let n = -38944 + 194722/5. Suppose 9/5*m + 3*m**2 - 8/5 - n*m**3 = 0. Calculate m.
-1, 1/2, 8
Let p(n) be the third derivative of 1/120*n**5 - 14*n**2 + 7/48*n**4 + 1/2*n**3 + 2 + 0*n. Factor p(a).
(a + 1)*(a + 6)/2
Let t(v) be the third derivative of -5*v**8/42 + 118*v**7/105 - 47*v**6/30 + 2*v**5/3 - 305*v**2. Suppose t(p) = 0. What is p?
0, 2/5, 1/2, 5
Let l = -56 + 81. Solve 25*y**2 - l*y**2 - 5*y**4 = 0.
0
Let l = 50 - 44. Factor -4*u**5 + 2*u - 12*u**3 + l - 6*u**2 + 7*u + 7*u**5.
3*(u - 2)*(u - 1)*(u + 1)**3
Let c(o) be the third derivative of o**6/24 + o**5/6 - 5*o**4/8 - 130*o**2. Factor c(j).
5*j*(j - 1)*(j + 3)
Let h(q) = 1. Let x(u) = -2. Let j(n) = -3*h(n) - 2*x(n). Let d(f) = -f**2 + 6*f - 7. Let m(t) = -5*d(t) - 10*j(t). Suppose m(c) = 0. Calculate c.
1, 5
Factor -51*d + 3/5*d**2 + 0.
3*d*(d - 85)/5
Suppose -162 = 2*o - 166. Factor 27*t**2 - 13*t**o - 8*t**2 - 40 - 30*t - 11*t**2.
-5*(t + 2)*(t + 4)
Factor 0 - 2/21*n**2 + 16/7*n.
-2*n*(n - 24)/21
Let u(v) be the first derivative of -2*v**4/3 - 10*v**3/3 + 6*v**2 - 10*v + 7. Let c(k) be the first derivative of u(k). Factor c(p).
-4*(p + 3)*(2*p - 1)
Let i(p) be the first derivative of -25*p**5 + 25/4*p**4 + 0*p + 6 + 10*p**2 + 80/3*p**3. Factor i(a).
-5*a*(a - 1)*(5*a + 2)**2
Suppose -78 = -3*n - 9. Find t such that 8*t - 11*t**4 - 5*t**5 + 15*t**3 + 40*t**2 - 11*t + t**4 + n*t = 0.
-2, -1, 0, 2
Let b = 13733/36536 - 4/4567. Factor 9/4*s**3 + b*s**4 + 3/8*s**2 + 6 - 9*s.
3*(s - 1)**2*(s + 4)**2/8
Suppose y - 28 = -13*y. Suppose -y*r = -r - 4. Factor 3/5*o + 0 + 9/5*o**3 + 9/5*o**2 + 3/5*o**r.
3*o*(o + 1)**3/5
Let o be (4/(-10))/((-4)/(-40)). Let g be (-41)/(-5) - o/(-20). Factor 11*f**2 - f**2 - g*f**2.
2*f**2
Let y(w) be the second derivative of 5*w**4/12 - 185*w**3/3 + 6845*w**2/2 + 82*w. Factor y(j).
5*(j - 37)**2
Determine r so that 50 - 60*r - 1/2*r**3 + 21/2*r**2 = 0.
1, 10
Let n(h) = h**2 - 2. Let p(k) = 25*k**2 - 40*k - 95. Let w(j) = 30*n(j) - p(j). What is r in w(r) = 0?
-7, -1
Suppose a = -n + 6*a + 68, -4*a - 20 = 0. Factor 102*k - k**2 - n*k - 51*k.
-k*(k - 8)
Let o = -30 + -48. Let l be 4*(o/(-12) 