ven that r(x) = 0.
-2, 0, 1, 2, 6
Find w, given that 165*w - 125*w + 16*w**3 - 18*w**3 - 16*w**2 = 0.
-10, 0, 2
Let c be -4 + 2 + 28/7. Suppose 5*i = 3*d + 20, 5*i + c*d = i + 16. Factor 3*f**5 + 5*f**3 + 6*f**3 - 2*f**3 - 7*f**i - 5*f**4.
3*f**3*(f - 3)*(f - 1)
Let s(c) be the third derivative of -c**5/540 - 7*c**4/72 + 23*c**3/27 - 24*c**2. Find v such that s(v) = 0.
-23, 2
Let r(q) be the third derivative of q**9/12096 - q**8/2016 - q**7/144 - q**6/36 + q**5/15 + 25*q**2. Let j(u) be the third derivative of r(u). Factor j(y).
5*(y - 4)*(y + 1)**2
Let t(n) = -n**4 + 25*n**2 - 7*n. Suppose 2*b + 3*b = -20. Let y(m) = -12*m**2 + 4*m. Let a(k) = b*t(k) - 7*y(k). Let a(z) = 0. What is z?
-2, 0, 2
Suppose -4*y + 3 + 13 = 0. Factor 31*x + y*x**2 - 22*x - x**2.
3*x*(x + 3)
Let m be (-1)/(-18)*(26 + 12) - 2/18. Factor 24/11 + 2/11*d**m - 16/11*d.
2*(d - 6)*(d - 2)/11
Let d(c) be the third derivative of 0*c**7 + 0*c + 1/336*c**8 - 1/60*c**6 + 0*c**3 + 0 + 0*c**5 + 1/24*c**4 - 11*c**2. Factor d(p).
p*(p - 1)**2*(p + 1)**2
Let b(q) be the first derivative of -q**3/2 + 9*q**2/2 - 15*q/2 - 13. Solve b(t) = 0 for t.
1, 5
Let o(m) be the first derivative of m**4/6 + 2*m**3 + 2*m**2 - 32*m/3 + 178. Let o(p) = 0. What is p?
-8, -2, 1
Let f be -20 - 2/((-12)/150). Factor -3/7*n**4 + 0 + 3/7*n**f - 6/7*n**3 + 0*n + 0*n**2.
3*n**3*(n - 2)*(n + 1)/7
Let x(r) = r**3 - 13*r**2 - 13*r - 15. Let i be x(14). Let c(h) = -2*h**3 - h**2 - h. Let f be c(i). Suppose -2/3*y**f - 4/3*y - 2/3 = 0. Calculate y.
-1
Let t(w) be the third derivative of -1/330*w**5 + 10*w**2 + 0*w + 0*w**4 + 1/385*w**7 + 0*w**3 + 1/330*w**6 + 0. Factor t(u).
2*u**2*(u + 1)*(3*u - 1)/11
Let h = 19 + -17. What is g in -24 - 251*g**h + 129*g**2 + 126*g**2 + 4*g = 0?
-3, 2
Let k(a) = 4*a**2 - a + 1. Let v(m) = -28*m**2 + 10*m + 10. Let g(l) = 2*k(l) + v(l). Factor g(t).
-4*(t - 1)*(5*t + 3)
Let z(d) be the second derivative of d**6/120 + 7*d**5/80 + d**4/4 - d**3/6 - 2*d**2 - 12*d + 21. Factor z(u).
(u - 1)*(u + 2)**2*(u + 4)/4
Let o(z) be the first derivative of z**6/42 - 6*z**5/35 - 23*z**4/14 - 92*z**3/21 - 75*z**2/14 - 22*z/7 - 181. Factor o(v).
(v - 11)*(v + 1)**3*(v + 2)/7
Let z = 104 + -66. Suppose 39*u = z*u. Factor 0*j + 3/4*j**4 + u*j**2 + 3/4*j**3 + 0.
3*j**3*(j + 1)/4
Let -1/6*g**2 - g + 0 = 0. Calculate g.
-6, 0
Determine a so that -6/17*a**3 + 2/17*a**5 - 18/17*a**4 + 58/17*a**2 - 36/17*a + 0 = 0.
-2, 0, 1, 9
Let z(p) be the second derivative of 0*p**6 + 0*p**2 + 14*p + 0*p**3 + 0*p**4 + 1/20*p**5 + 0 - 1/42*p**7. Factor z(a).
-a**3*(a - 1)*(a + 1)
Let h = 1075/2 + -2149/4. Find r, given that 3/4*r**2 + 1/4*r**4 + h*r**5 + 0 + 0*r - 5/4*r**3 = 0.
-3, 0, 1
Let j(m) = 5*m**2 - 25*m. Let b(x) = 2*x**2 - 12*x. Let t(p) = -7*b(p) + 3*j(p). Let t(i) = 0. Calculate i.
-9, 0
Let f(p) be the second derivative of 5*p**3/3 - 77*p**2/2 + p - 19. Let n be f(8). Factor -1/5*c**2 + 1/5 + 1/5*c**n - 1/5*c.
(c - 1)**2*(c + 1)/5
Let a(r) be the third derivative of 2*r**7/315 + r**2 - 10*r. Factor a(w).
4*w**4/3
Let m(v) be the third derivative of -v**3 + 26*v**2 + 0 - 1/60*v**5 + 0*v - 7/24*v**4. Factor m(t).
-(t + 1)*(t + 6)
What is f in 3/2*f**2 - 21*f - 45/2 = 0?
-1, 15
Let x(o) = 28*o - 26. Let s be x(1). Let f(y) be the first derivative of 1 + 0*y**s - 1/12*y**4 + 0*y - 1/9*y**3. Factor f(q).
-q**2*(q + 1)/3
Let z = 124/15 + -33/5. Factor 3*o**3 + 1/3*o**5 + 2/3*o + 7/3*o**2 + 0 + z*o**4.
o*(o + 1)**3*(o + 2)/3
Let x(z) = -z**4 - 2*z**2 - z - 1. Let w(b) = 4*b**4 + 3*b**3 + 10*b**2 + 5*b + 5. Let t(l) = -2*w(l) - 10*x(l). Factor t(s).
2*s**3*(s - 3)
Suppose -13*b = -2*b + 5*b. Let l(h) be the third derivative of b*h**3 + 2*h**2 + 0*h**4 + 0*h + 0 + 0*h**5 - 1/480*h**6. Factor l(r).
-r**3/4
Factor 2*u**3 - 588/5 + 658/5*u - 152/5*u**2.
2*(u - 7)**2*(5*u - 6)/5
Let x be -6 - (-1 - -2 - -2). Let i = x + 11. Factor -3*u + u + u**2 - 4*u**i.
-u*(3*u + 2)
Let k(v) be the third derivative of -v**7/1155 - v**6/60 - 3*v**5/55 - 3*v**2 - 62. Determine s so that k(s) = 0.
-9, -2, 0
Factor -5/4*w + 7/6 + 1/12*w**2.
(w - 14)*(w - 1)/12
Let q(a) be the second derivative of 2*a**6/45 + 2*a**5/15 - a**4/9 - 4*a**3/9 - 48*a. Factor q(t).
4*t*(t - 1)*(t + 1)*(t + 2)/3
Solve -14*o + 32*o + 5*o**2 + 6*o**2 + 17 - 10*o**2 = 0 for o.
-17, -1
Suppose -4*c - b + 4*b = -129, 0 = -2*c + 5*b + 61. Let x be (-6)/9*(-1 - (-24)/c). Let 0*k + x*k**2 + 0 - 2/11*k**3 = 0. Calculate k.
0, 1
Let p(n) be the first derivative of n**7/105 + n**6/20 - n**5/15 - n**4 - 8*n**3/3 - 4*n**2 + 19. Let o(w) be the second derivative of p(w). Factor o(q).
2*(q - 2)*(q + 1)*(q + 2)**2
Let o(c) = -c + 2 + 3*c + c**2 + 4 - 7. Let v be o(-3). Determine i, given that 0*i + 2/15 - 2/15*i**v = 0.
-1, 1
Let t(s) = -2*s**4 - 6*s**3 + 4*s**2 - 10*s + 14. Let z(x) = -x**3 + x**2 - x + 1. Let i(m) = 2*t(m) - 28*z(m). Determine h so that i(h) = 0.
0, 1, 2
Let n(c) be the first derivative of c**3/18 + 19*c**2/3 + 722*c/3 - 94. What is j in n(j) = 0?
-38
Let r(k) = k**3 + 8*k**2 + 12*k + 2. Let y be r(-6). Let b(i) be the first derivative of 4*i**2 - 1/6*i**6 + 1/3*i**3 - 7/4*i**4 - i**5 + 4*i - y. Factor b(d).
-(d - 1)*(d + 1)**2*(d + 2)**2
Let h(x) be the third derivative of x**6/540 + 2*x**5/135 - x**4/36 - 2*x**3/3 - 123*x**2. Factor h(w).
2*(w - 2)*(w + 3)**2/9
Let v(f) be the third derivative of -f**6/720 + f**5/72 + f**4/36 - 5*f**3/9 + 36*f**2. Factor v(i).
-(i - 5)*(i - 2)*(i + 2)/6
Let o(y) be the first derivative of -4 - 7/2*y**2 + y**3 - 6*y + 3/4*y**4 - 1/5*y**5. What is k in o(k) = 0?
-1, 2, 3
Let c(y) be the third derivative of y**6/1440 + y**5/120 + y**4/24 + y**3/2 + 8*y**2. Let k(i) be the first derivative of c(i). Factor k(n).
(n + 2)**2/4
Let n be -2 - (46 + -3 + -1). Let q = n - -44. Factor q + 2/3*v**3 - 8/3*v**2 + 2*v.
2*v*(v - 3)*(v - 1)/3
Factor -104/7*o - 10/7*o**3 + 64/7 + 8*o**2.
-2*(o - 2)**2*(5*o - 8)/7
Suppose -9*n - 31 = -49. Let x(m) = -m**2. Let s(k) be the second derivative of k**3/3 + k. Let p(v) = n*s(v) - 2*x(v). Solve p(o) = 0.
-2, 0
Let 3*b**3 - 8 - 9 + 32 - 15 + 192*b**2 = 0. What is b?
-64, 0
Let t(r) be the first derivative of -r**3/9 + 17*r**2/6 - 16*r/3 + 108. Factor t(i).
-(i - 16)*(i - 1)/3
Let k be 4/16 - 300/(-16). What is g in 25*g**3 - 2*g**3 + 8*g + 8 - 67*g**2 + 9*g**2 + k*g**3 = 0?
-2/7, 2/3, 1
Suppose -r - 1 = -2. Suppose 0 = 3*m + 3*w + 6, -5*m - 2*w - r = -6. Determine j, given that -j - 4*j - 3*j**2 - m*j - 8 + j**2 = 0.
-2
Let m(n) = n**2 + 0*n**2 + 0 + 3 - 9*n. Let k be m(9). Let 14*d**4 + 2*d + 25*d**3 - 6*d - 3 - k*d + 6*d**2 + 1 = 0. What is d?
-1, -2/7, 1/2
Let -28/5*s**2 + 2/15*s**5 + 62/15*s - 64/15*s**3 + 24/5 + 4/5*s**4 = 0. What is s?
-9, -1, 1, 4
Let r = 20224 + -101118/5. Let v = 0 - 0. Factor 1/5*w**5 + r*w**4 + 1/5*w**3 + v + 0*w + 0*w**2.
w**3*(w + 1)**2/5
Let n(z) = 1724*z + 10347. Let o be n(-6). Suppose 0 - 2/5*l**o + 4/5*l + 2/5*l**2 = 0. What is l?
-1, 0, 2
Let h(t) be the first derivative of -648/11*t**2 - 6/55*t**5 + 19 - 27/11*t**4 + 0*t - 216/11*t**3. Factor h(x).
-6*x*(x + 6)**3/11
Find k, given that 1172/7*k**2 - 500/7*k**3 + 58/7*k**4 - 1066/7*k - 2/7*k**5 + 338/7 = 0.
1, 13
Let y(k) be the third derivative of -k**6/840 + 9*k**5/140 - 10*k**4/7 + 50*k**3/3 - 329*k**2. Determine a, given that y(a) = 0.
7, 10
Let d be (-43)/(-15) + 4/(-30)*-1. Let c(v) be the third derivative of 1/60*v**5 + 1/60*v**6 - 5*v**2 - 1/24*v**4 + 0*v**d + 0 + 0*v. Factor c(q).
q*(q + 1)*(2*q - 1)
Let m be (-2)/8*(-1 - (-3 + (-476)/(-182))). Suppose -18/13*y**2 + 6/13*y**4 - m*y**3 + 18/13*y - 4/13 = 0. Calculate y.
-2, 1/3, 1
Let v(z) = 4*z**2 - 90*z - 105. Let x(g) = -g**2 + 30*g + 35. Let d(u) = 4*v(u) + 11*x(u). What is p in d(p) = 0?
-1, 7
Let 160*z**3 + 276*z - 160 + 206*z - 2*z**4 + 6*z**3 - 486*z**2 = 0. Calculate z.
1, 80
Suppose -21 = -3*q - 4*u, -2*q + 3 = -u - 0. Let p(r) be the first derivative of 0*r - 5/24*r**6 - 1/6*r**q - 7 + 0*r**2 - 9/16*r**4 - 3/5*r**5. Factor p(g).
-g**2*(g + 1)**2*(5*g + 2)/4
Let x = -54 - -60. Factor x*r + 2*r**2 - 6*r**2 + 2*r**2.
-2*r*(r - 3)
Let h(r) = -2*r**2 - 25*r - 20. Let k(t) = -3*t**2 - 25*t - 20. Let f(w) = -2*h(w) + 3*k(w). Suppose f(m) = 0. Calculate m.
-4, -1
Let l(o) be the second derivative of -o**7/1400 + o**6/600 + o**5/200 + 3*o**4/2 - 2*o.