 + 0 = 0. What is z?
-1, 0, 2/3, 1
Let u = -4428/17 - -262. Factor 24/17*m + 12/17*m**3 + 8/17 + u*m**2 + 2/17*m**4.
2*(m + 1)**2*(m + 2)**2/17
Let s = -1 + 3. Let k = 5 - 1. Suppose -k - s - 2 + 3*n**2 - 2*n**3 - 13*n**2 - 16*n = 0. Calculate n.
-2, -1
Let u(n) be the second derivative of n**10/10080 - n**9/840 + n**8/448 + n**4/6 - 35*n**3/6 - 3*n - 8. Let j(v) be the third derivative of u(v). Factor j(d).
3*d**3*(d - 5)*(d - 1)
Factor 12/5*h**2 + 2/5*h**3 + 24/5*h + 16/5.
2*(h + 2)**3/5
Let n(i) = i + 1. Let r be n(7). Let p = 0 + -5. Let v(l) = 7*l**2 - 9*l - 5. Let t(w) = 11*w**2 - 14*w - 8. Let u(h) = p*t(h) + r*v(h). Factor u(m).
m*(m - 2)
Let r(o) be the first derivative of -15*o**6/4 + 47*o**5/2 - 365*o**4/8 + 205*o**3/6 - 15*o**2/2 + 36. What is n in r(n) = 0?
0, 2/9, 1, 3
Let x = -2 - -12. Let d be 1*(x + 0 + 2). Determine h so that 12*h**2 + h**5 + d*h**4 - 8*h + 12*h**2 - 26*h**3 - 3*h**5 = 0.
0, 1, 2
Let q(o) be the second derivative of 1/30*o**5 + 0 - 2/9*o**4 + 2/45*o**6 + 2/3*o**2 - 1/126*o**7 - 1/18*o**3 - 29*o. Let q(a) = 0. Calculate a.
-1, 1, 4
Let h(z) be the first derivative of z**4/96 + 3*z**3/8 + 81*z**2/16 + 8*z - 15. Let n(u) be the first derivative of h(u). Factor n(j).
(j + 9)**2/8
Let v(q) be the third derivative of 1/1680*q**7 - 20*q**2 - 1/120*q**5 + 0*q**3 + 0 + 1/2688*q**8 - 1/160*q**6 + 0*q + 1/24*q**4. Factor v(z).
z*(z - 2)*(z - 1)*(z + 2)**2/8
Let c be -1 + (-2)/(288/(-184)) + (-4)/(-18). Let i = 3833/1700 + -2/425. Factor i*n**2 + 7/4*n - c.
(n + 1)*(9*n - 2)/4
Let r(n) be the third derivative of 3/40*n**4 + 0*n - 1/200*n**6 + 0*n**3 - 1/50*n**5 + 0 + 14*n**2. Factor r(d).
-3*d*(d - 1)*(d + 3)/5
Suppose -5*w + 10 = 5*z, -7*w + 4*w - 2*z + 9 = 0. Let m(b) be the first derivative of w + 0*b**4 - 1/3*b**3 + 1/2*b + 0*b**2 + 1/10*b**5. Factor m(i).
(i - 1)**2*(i + 1)**2/2
Let n be (-2 - 1)*14/(-56). Let d be 1/(-3) - 117/(-108). Factor -3/4*y**4 - d*y**5 + 3/2*y**3 - 3/4*y - n + 3/2*y**2.
-3*(y - 1)**2*(y + 1)**3/4
Let j(d) be the third derivative of -d**9/7560 - d**8/1680 - d**7/1260 + 11*d**4/24 + 12*d**2. Let z(u) be the second derivative of j(u). Factor z(x).
-2*x**2*(x + 1)**2
Suppose 5*c - 23 + 19 = 3*w, -2*w - 3*c = -10. Factor 4*g + 10 + 2/5*g**w.
2*(g + 5)**2/5
Factor -1 - 10*g**3 - 1 + 3*g**4 + 54*g - g**4 - 6 - 2*g**2 + 2*g**5 - 38*g.
2*(g - 1)**3*(g + 2)**2
Suppose -7*w + 8 = -3*w. Factor 2*t**3 + 6*t - 1 - t**w - 1 - 7*t**2 + 2*t**2.
2*(t - 1)**3
What is y in 180 + 5/2*y**2 - 365/2*y = 0?
1, 72
Let b(k) be the first derivative of 3/20*k**4 + 0*k**2 - 16 + 3/25*k**5 - 1/5*k**3 - 1/10*k**6 + 0*k. Factor b(n).
-3*n**2*(n - 1)**2*(n + 1)/5
Let r be (-6)/(42/(-25)) - (1 - -2). Suppose -8/7*h**2 - 2/7*h**5 - 8/7*h + 0 + 6/7*h**3 + r*h**4 = 0. Calculate h.
-1, 0, 2
Suppose 2*x + 3*m + 15 = 0, 2*x + 0 = 3*m + 15. Let g(f) be the third derivative of 0 + 2*f**2 + x*f - 1/150*f**5 + 0*f**4 + 4/15*f**3. What is j in g(j) = 0?
-2, 2
What is i in 0 + 24/5*i**3 - 4/5*i**4 + 32/5*i + 12*i**2 = 0?
-1, 0, 8
Let r(b) be the first derivative of -b**3/7 + 3*b**2/7 - 60. Factor r(v).
-3*v*(v - 2)/7
Let y = 1634/5380339 - -956939016832/62029928331. Let w = y - -2/1647. What is k in -3/7*k**2 + 0 + w*k**5 - 6/7*k**3 + 45/7*k**4 + 0*k = 0?
-1/3, 0, 1/4
Determine p so that -6*p - 80*p**2 + 58*p + 9*p**4 - 16*p**4 - 4*p + 3*p**4 + 36*p**3 = 0.
0, 1, 2, 6
Let u be ((-15)/12 + 2)*(6 - 2). Suppose 0 = 2*b - 1 - 5. Find s, given that -s**b + s**3 + 24*s**2 - u*s**3 - 30*s**2 = 0.
-2, 0
Let h(p) be the first derivative of -1 - p**3 + 0*p + 3/4*p**4 - 3/2*p**2 + 3/5*p**5. Determine y, given that h(y) = 0.
-1, 0, 1
Factor 8 - 12*t**3 - 2*t**2 - 4*t**3 - 4*t**5 + 10*t**2 - 16*t**4 - 85*t + 105*t.
-4*(t - 1)*(t + 1)**3*(t + 2)
Solve a**3 - 20*a**2 + 5*a**3 - 10 - a**3 + 25*a = 0.
1, 2
Factor 18*q**2 + 8*q**4 - 270*q**5 + 6*q**4 - 30*q**3 + 268*q**5.
-2*q**2*(q - 3)**2*(q - 1)
Factor -111 + 39*m + 331*m + 5*m**2 + 31 - 50*m**2.
-5*(m - 8)*(9*m - 2)
Let z = 158 - 154. Let k(x) be the third derivative of -6*x**2 + 0 + 0*x**z + 0*x + 1/360*x**5 + 0*x**3. What is s in k(s) = 0?
0
Suppose -3*h + 5*q = -104, -5*q = -2*h + 105 - 29. Suppose -h = -10*s - 8. What is i in -2/3*i**s - 2/3*i + 0 = 0?
-1, 0
Let a(v) be the third derivative of v**7/5040 + v**6/1440 - v**5/120 + 7*v**4/12 - 11*v**2. Let r(m) be the second derivative of a(m). Factor r(p).
(p - 1)*(p + 2)/2
Let i(u) = u**2 + 19*u + 38. Let f be i(-2). Suppose 3*k = -3*o, -f*o - 6 = -2*o. Let 1/2*s**2 + 0 + 0*s - 1/2*s**k = 0. What is s?
0, 1
Let g be (33/(-3))/(-33) + 3/45. Solve -g*w**2 + 4/5 + 2/5*w = 0.
-1, 2
Factor 0*s**2 + 0*s + 2/11*s**5 - 32/11*s**3 + 12/11*s**4 + 0.
2*s**3*(s - 2)*(s + 8)/11
Let r be (-3 - 3) + -2 + 5*2. Let z(k) be the third derivative of 13*k**r + 0*k**3 + 0*k**4 - 1/120*k**6 - 1/60*k**5 + 0 + 0*k. Factor z(h).
-h**2*(h + 1)
Let n(g) be the third derivative of 0*g**3 + 0 + 8/15*g**5 + 2/3*g**4 + 0*g - 7*g**2 - 7/30*g**6 - 2/21*g**7. What is p in n(p) = 0?
-2, -2/5, 0, 1
Let 841/3 + 58/3*z + 1/3*z**2 = 0. Calculate z.
-29
Let f be 2 - (12 + 143/(-11)). Determine y, given that 3/5*y**2 + 18/5 - f*y = 0.
2, 3
What is w in -180*w - 33*w**3 - 60*w**3 - 58*w**3 + 36*w**3 + 228*w**2 + 48 + 21*w**4 - 2*w**3 = 0?
4/7, 1, 2
Let l(g) be the second derivative of 7*g**4/24 - 167*g**3/6 - 24*g**2 + 62*g. Determine r so that l(r) = 0.
-2/7, 48
Let 8773 - 148*f**3 - 17547 + 8774 + 4*f**4 = 0. What is f?
0, 37
Factor -204*v - 39*v - 3021 + 2697 - 3*v**3 - 54*v**2.
-3*(v + 3)**2*(v + 12)
Let v(z) = 6*z**2 - 54*z + 90. Let g(w) = -5*w**2 + 53*w - 90. Let s(b) = -3*g(b) - 2*v(b). Factor s(r).
3*(r - 15)*(r - 2)
Let x(o) be the first derivative of 24/5*o**2 + 12 - 7/5*o**3 - 12/5*o. Factor x(k).
-3*(k - 2)*(7*k - 2)/5
Let i be (27/(-10) - -3)*-2*-5. Determine z, given that -z**3 - 4*z**4 + 52*z - i*z**3 - 2*z**3 + 2*z**3 + 24 + 28*z**2 = 0.
-2, -1, 3
Let q(u) be the second derivative of u**4/42 - 6*u**3/7 + 17*u**2/7 + 818*u. Factor q(j).
2*(j - 17)*(j - 1)/7
Let x(k) be the second derivative of -1/4*k**4 + 6/5*k**5 + 0 + 0*k**2 - k**3 - 1/2*k**6 + 15*k. Factor x(u).
-3*u*(u - 1)**2*(5*u + 2)
Suppose -2*h = 13 - 97. What is q in 10*q**3 - 7*q**2 + h*q**4 - 6*q + 4 - 15*q**2 + 0*q + 20*q**5 = 0?
-1, 2/5, 1/2
Suppose -132*m = -140*m + 64. Let p(u) be the first derivative of -2/9*u**3 - m + 4/9*u - 5/9*u**2. Solve p(g) = 0 for g.
-2, 1/3
Let q(w) = w**2 + 4*w + 2. Let c be q(-4). Suppose 3*u - r + c*r = 1, 4*u + r - 3 = 0. Factor -2*x**2 - 5*x**2 + 3*x**u.
-4*x**2
Let y(l) = -4*l**3 - 3*l**2 - 6*l + 2. Suppose 2*v + 3 = v. Let p(b) = -b**3 - b + 1. Let w(f) = f - 5. Let s be w(6). Let h(d) = s*y(d) + v*p(d). Factor h(o).
-(o + 1)**3
Suppose -3*d + 2 + 13 = 0. Find n, given that -15*n**2 + 20 - d*n - 11*n + 11*n**2 = 0.
-5, 1
Let w(l) be the first derivative of 3*l**5/5 + 3*l**4/2 - 3*l**3 - 12*l**2 - 12*l - 148. Factor w(j).
3*(j - 2)*(j + 1)**2*(j + 2)
Let q(o) = 3*o - 9. Let c be q(4). Let r(f) be the first derivative of -9 - 3/2*f**2 + 4/5*f**c - 3/20*f**4 + 6/5*f. Factor r(v).
-3*(v - 2)*(v - 1)**2/5
Let d = 6 - 4. Let s be (-2 - -8) + (-8 - -4). Factor 8*z + 4*z**s + 2*z - d*z.
4*z*(z + 2)
Let s(f) = f**2 - 1. Suppose 3*g = 2*m + 9, -4*g - 8 = -2*m + 6*m. Let j be s(g). Factor j*c**3 - 2*c**4 - 3*c**5 - 3*c**3 - 4*c**4.
-3*c**3*(c + 1)**2
Let a(s) be the third derivative of -1/12*s**6 + 1/3*s**4 - 1/105*s**7 + 8/3*s**3 + 0*s + s**2 + 0 - 1/5*s**5. Determine q so that a(q) = 0.
-2, 1
Let n(w) be the first derivative of -2/27*w**3 - 17 + 8/9*w + 0*w**2. Factor n(l).
-2*(l - 2)*(l + 2)/9
Factor 4*p**4 + 2477 + 272*p - 9*p**3 - 264*p**2 + 89*p**3 - 2569.
4*(p - 1)**3*(p + 23)
Let d = 6182 + -6175. Solve d*k + 49/2 + 1/2*k**2 = 0.
-7
Suppose 2*z = -4*v + 5*v - 21, 3*v - z = 43. Suppose -a + 3 - 1 = 0. Suppose 2 - l**2 + 4*l**4 + 7*l + a*l**4 - v*l**3 - l**2 + 0 = 0. Calculate l.
-1/2, -1/3, 1, 2
Let m = -1/951 - -22831/6657. Let u(d) = 9*d**2 + 98*d - 8. Let y be u(-11). Determine q, given that 16*q - 110/7*q**2 - 50/7*q**y - m = 0.
-3, 2/5
Let g be (-1 - -4 - 3)/(-7). Let m(z) be the third derivative of 1/144*z**4 + 0*z**3 + 1/360*z**5 + z**2 + 0 + g*z. Let m(a) = 0. What is a?
-1, 0
Let y be 3*3/((-45)/(-10)). Factor 3 + o**y + o - 3.
o*(o + 1)
Let g(h) be the third deriva