 y be z(-30). Let 3/2*w + j + 3/2*w**y = 0. What is w?
-1, 0
Let j = -280 + 280. Let p(x) be the first derivative of 0*x**4 - 4 + 3/5*x**5 - x**3 + j*x + 0*x**2. Determine b, given that p(b) = 0.
-1, 0, 1
Let k be 2/(-4)*4 - 22/(-10). Let q be 52/(-140) - 116/(-203). Let 1/5*z**4 + q*z**3 - k*z - 1/5*z**2 + 0 = 0. What is z?
-1, 0, 1
Factor 7/5*p**2 - 12/5*p - 4/5.
(p - 2)*(7*p + 2)/5
Suppose -36/13*r + 2/13*r**3 - 80/13 + 6/13*r**2 = 0. What is r?
-5, -2, 4
Suppose -5*i + 35 = 20. Find u, given that -1/2*u**i - 5/2*u**2 + 3/2*u**4 + 1 + 1/2*u = 0.
-1, -2/3, 1
Let q(z) be the third derivative of 1/108*z**5 - 5*z**2 + 0 + 1/1080*z**6 + 0*z**4 + 0*z**3 + 0*z. Factor q(y).
y**2*(y + 5)/9
Suppose -d = 3, 0 = -b + 3*b - 2*d - 186. Let i be (-3)/(-2)*15/b. Factor 13/8*x - 5/2*x**2 - i.
-(4*x - 1)*(5*x - 2)/8
Factor 61*y - 3 + 5 + 8*y**2 - 53*y - 2*y**2.
2*(y + 1)*(3*y + 1)
Let a(w) = -1 + 4 - w + w**2 - 2*w + 5*w. Let l be a(0). Find g such that 2*g - 2*g**2 - 3*g**3 + 0*g**3 + 2 + g**l = 0.
-1, 1
Let o(v) = -4*v**3 - 5*v + 9. Let u(z) = z**3 + z + 1. Let w(x) = o(x) - 2*u(x). Let c(j) = j**3 + j - 1. Let n(b) = -28*c(b) - 4*w(b). Factor n(y).
-4*y**3
Suppose -11*f + 30 = 4*f. Let k(m) be the first derivative of -f*m - 5/2*m**2 - m**3 - 2. Let k(g) = 0. Calculate g.
-1, -2/3
Let r(n) be the third derivative of -32*n**3 + 3/4*n**5 + 26*n**2 + 6*n**4 + 1/40*n**6 + 0*n + 0. Factor r(c).
3*(c - 1)*(c + 8)**2
Let s(a) be the third derivative of 17/9*a**4 + 0 - 2*a**2 + 578/9*a**3 + 1/45*a**5 + 2*a. Find g such that s(g) = 0.
-17
Let g(f) be the third derivative of 0*f**3 + 0 + 1/12*f**5 + 4*f**2 - 5/6*f**4 + 0*f. Suppose g(d) = 0. What is d?
0, 4
Let z be -7 + ((-454)/(-60) - 10/60*1). Determine g, given that 18/5 - 12/5*g + z*g**2 = 0.
3
Let o(i) be the third derivative of -i**7/10080 - i**6/1440 + i**5/160 - 11*i**4/24 + 9*i**2. Let q(s) be the second derivative of o(s). Factor q(b).
-(b - 1)*(b + 3)/4
Solve 2/11*z**4 + 16/11*z + 64/11 - 4/11*z**3 - 24/11*z**2 = 0 for z.
-2, 2, 4
Let q be (-1)/(-3) + 240/9. Solve -q*x**4 + 13*x**4 + 2*x**5 + x**5 + 5*x**4 + 6*x**3 = 0 for x.
0, 1, 2
Let b be ((-4)/10)/(8/(-60)). Let w(f) = f**2 + 9*f - 10. Let i be w(-10). Suppose -b*g**2 - 3*g**4 + i + 12*g - 15*g**2 - 4 + 12*g**3 + 1 = 0. What is g?
1
Solve -3*y**2 + 0 + 3/4*y**3 - 15/4*y = 0 for y.
-1, 0, 5
Factor 17/2*h + 1/2*h**2 + 0.
h*(h + 17)/2
Factor -1/3*j**2 - 37/3*j - 70/3.
-(j + 2)*(j + 35)/3
Let j = 22572 - 22570. Factor 3/4*q**j + 3/2*q - 9/4.
3*(q - 1)*(q + 3)/4
Let t be (-2)/(-4) + (-483)/(-714). Let k = t - 83/85. Determine i so that 1/5*i + k*i**2 - 2/5 = 0.
-2, 1
Suppose 2*w + 5 = 15. Suppose -15 = -0*p - w*p. Factor -12*k**3 + 3*k**2 + 4*k - 3*k**2 + 2*k**2 + 10*k**p.
-2*k*(k - 2)*(k + 1)
Let z be (-5 + 244/52)*1/(-2). Factor 4/13*w**3 - z + 0*w**2 - 4/13*w + 2/13*w**4.
2*(w - 1)*(w + 1)**3/13
Let q(z) be the first derivative of -5*z**4/4 + 125*z**3/3 - 222. Determine u so that q(u) = 0.
0, 25
Suppose 0 = -0*m - 5*m + 15. Factor -2/15*g + 2/15*g**m - 2/15 + 2/15*g**2.
2*(g - 1)*(g + 1)**2/15
Let w = 180 + -169. Suppose 18 = 5*i + 4*c - 4, -5*c + w = -2*i. Factor -r + 2/3 + 1/3*r**i.
(r - 2)*(r - 1)/3
Let j(u) = 7*u - 7. Let l be j(1). Let a(g) be the second derivative of -1/42*g**4 + l*g**3 - g + 0 + 1/7*g**2. Let a(t) = 0. What is t?
-1, 1
Let d be 9/(-4)*(-7)/((-126)/(-24)). Suppose -82 = d*q - 88. Solve 0 - 2/11*v - 2/11*v**q = 0.
-1, 0
Let a = -22830/7 + 3262. What is c in 4*c + 24/7 + 0*c**2 - a*c**3 = 0?
-2, -1, 3
Let s(i) be the first derivative of -2/21*i**3 - 1/7*i**2 + 17 + 4/7*i. What is l in s(l) = 0?
-2, 1
Let j be 60/(-25) + (-3564)/(-1260). Let 0 + 9/7*n**4 + j*n**5 + 0*n - 3/7*n**3 - 9/7*n**2 = 0. Calculate n.
-3, -1, 0, 1
Suppose -2/7*n**4 - 20/7*n**2 + 22/7*n**3 + 0 + 0*n = 0. Calculate n.
0, 1, 10
Factor 240 + 1715*f**5 - 1396*f**4 + 8360*f**2 - 932*f - 1631*f**4 - 158*f**4 - 8400*f**3 - 1548*f.
5*(f - 3)*(f + 2)*(7*f - 2)**3
Let f = 19267 + -19265. Factor -1/5*z + 1/5*z**3 + 3/5*z**f - 3/5.
(z - 1)*(z + 1)*(z + 3)/5
Let z be (70/(-525))/((-8)/120). Let g = -1 - -4. Solve 3/2*b + 3/2*b**z - g = 0 for b.
-2, 1
Let q(b) = 25*b**4 - 42*b**3 + 44*b**2 - 6*b + 14. Let p(m) = 25*m**4 - 44*m**3 + 43*m**2 - 6*m + 12. Let h(s) = -7*p(s) + 6*q(s). Factor h(k).
-k*(k - 1)**2*(25*k - 6)
Let z(i) = -2*i**4 + i**2 - 2*i. Let u(b) = -30*b**4 - 28*b**3 + 46*b**2 - 30. Let f(o) = -2*u(o) + 28*z(o). Factor f(r).
4*(r - 1)**2*(r + 1)*(r + 15)
Let z(m) be the first derivative of 0*m**2 + 0*m**3 + 1/9*m**6 - 1/2*m**4 - 12 + 0*m + 4/15*m**5. Factor z(l).
2*l**3*(l - 1)*(l + 3)/3
Suppose -71 = -l - 2*r, -4*r = -3*l + r + 235. Suppose 77*a - l*a - 4 = 0. Factor 1/4*b + 1/4*b**a + 0.
b*(b + 1)/4
Let o(s) be the third derivative of -1/180*s**6 + 1/630*s**7 - 20*s**2 - 1/180*s**5 + 1/36*s**4 + 0 + 0*s**3 + 0*s. Suppose o(n) = 0. Calculate n.
-1, 0, 1, 2
Let v(p) be the first derivative of 1 + 0*p**2 + 0*p + 1/2*p**6 - 4/3*p**3 + p**5 - p**4. Factor v(l).
l**2*(l - 1)*(l + 2)*(3*l + 2)
Factor -8*i - 14/5*i**3 + 36/5*i**2 + 16/5 + 2/5*i**4.
2*(i - 2)**3*(i - 1)/5
Suppose 69*k + 669 = 130*k + 162*k. Determine x so that 0 + 16/3*x**2 + 2/3*x**4 - 14/3*x**k + 32/3*x = 0.
-1, 0, 4
Let r be (2/12)/((-1962)/(-162) - 12). Suppose 0*u + 3/4*u**5 + 0 + 0*u**4 - 9/4*u**3 + r*u**2 = 0. Calculate u.
-2, 0, 1
Let h(v) be the first derivative of 2*v**3/3 - 2*v**2 - 16*v - 49. Determine j, given that h(j) = 0.
-2, 4
Let m = 6 - 11/2. Let p be (-15)/45 + (-14)/(-24). Factor -7/8*u**2 + 0 + 5/8*u**3 + m*u**4 - p*u.
u*(u - 1)*(u + 2)*(4*u + 1)/8
Let q = -18 - -20. Suppose -2*d = q*g + 6, -2*d = -4*d + 2*g + 6. Factor 1/7*j**2 + d*j + 0.
j**2/7
Suppose 0 = -2*m - 10, 10*m - 15*m = 3*x + 13. Let r(j) be the third derivative of -1/20*j**5 + 1/8*j**x + 0*j**3 - j**2 + 0 + 0*j. Let r(g) = 0. Calculate g.
0, 1
Let w(g) = -4*g**4 + 10*g**3 + 23*g**2 + 19*g + 5. Let b(p) = 4*p**4 - 12*p**3 - 22*p**2 - 18*p - 6. Let t(r) = 5*b(r) + 6*w(r). Factor t(j).
-4*j*(j - 3)*(j + 1)*(j + 2)
Let v(g) be the third derivative of -g**8/20160 + 3*g**5/20 - 2*g**2. Let f(q) be the third derivative of v(q). Factor f(s).
-s**2
Let r(c) be the first derivative of 0*c**2 - 1/2*c**3 + 11 - 3/10*c**5 + 0*c - 3/4*c**4. Find i, given that r(i) = 0.
-1, 0
Let y(p) = -38*p**2 + 3*p - 16. Let b(d) = -39*d**2 + 3*d - 20. Let u(g) = -4*b(g) + 5*y(g). Suppose u(t) = 0. What is t?
0, 3/34
Let s(c) be the third derivative of c**8/20160 + c**7/630 + c**6/45 + 7*c**5/30 - 9*c**2. Let p(i) be the third derivative of s(i). Let p(x) = 0. What is x?
-4
Let x(h) = -21*h**2 - 24*h + 111. Let g(t) = 3*t**2 + 3*t - 16. Let l(s) = 15*g(s) + 2*x(s). Factor l(i).
3*(i - 3)*(i + 2)
Let i(s) be the third derivative of -s**9/1680 - s**8/320 - s**7/420 + s**4/8 + 10*s**2. Let z(g) be the second derivative of i(g). Let z(q) = 0. Calculate q.
-2, -1/3, 0
Factor -212*s + 42*s - 13*s**2 - 14*s**2 + 32*s**2.
5*s*(s - 34)
Let l be 192/(-120)*(-10)/4. Let j be (-2)/(-18) - 34/(-18). Solve 1/2*i**j + 0*i + 1/2*i**l + 0 + i**3 = 0 for i.
-1, 0
Let g(o) = -15 + 17*o**2 - 4*o - 20*o**2 + 4*o. Let t(m) = -m + 1. Let z(v) = -g(v) - 9*t(v). What is r in z(r) = 0?
-2, -1
Let k = 11454 - 11452. Solve 16/7 + 8/7*y**3 + 32/7*y + 1/7*y**4 + 24/7*y**k = 0 for y.
-2
Let h(c) = 2*c**4 - 2*c**3 - c. Let f(j) = 13*j**4 - 17*j**3 + 9*j**2 - 13*j + 2. Let o(w) = -f(w) + 6*h(w). Solve o(t) = 0 for t.
1, 2
Let x(u) = 4*u**3 - 25*u**2 + 40*u - 3. Let p(v) = 36*v**3 - 224*v**2 + 360*v - 28. Let m(g) = 3*p(g) - 28*x(g). Factor m(b).
-4*b*(b - 5)*(b - 2)
Let -118*i**2 - 244*i + 120 + 45*i**2 + 177*i**2 - 11*i**3 - i**3 = 0. What is i?
2/3, 3, 5
Let g = 47128/18333 + 2/2619. Factor -g*n + 8/7*n**2 + 4/7.
2*(n - 2)*(4*n - 1)/7
Let v(s) be the first derivative of -3*s**4/28 + 13*s**3/7 - 69*s**2/14 + 33*s/7 + 31. Factor v(q).
-3*(q - 11)*(q - 1)**2/7
Let u be (-1 - (-9)/8)/((-22)/(-220)). Factor -1/4*r**3 + 9/4*r - u - 3/4*r**2.
-(r - 1)**2*(r + 5)/4
Let u be (1/(-3))/((-110)/(-1065)). Let a = -30/11 - u. Factor 0 + 1/2*i + 0*i**3 - i**2 + i**4 - a*i**5.
-i*(i - 1)**3*(i + 1)/2
Let y(u) = -u**3 + 6*u**2 - 5*u + 10. Let o be y(5). Let v be (4 - 45/12)/(o/96). Factor 24/5*n**3 + 2/5 + 8/5*n**4 + 26/5*n**2 + v*n.
2*(n + 1)**2*(2*n + 1)**2/5
Let q(p) be the third de