3 = 0 for x.
-1
Let y(t) = -10*t**2 + 9*t - 13. Let f(l) = 3*l**2 - 3*l + 4. Let b(o) = 7*f(o) + 2*y(o). Factor b(z).
(z - 2)*(z - 1)
Let c(k) be the second derivative of 1/75*k**6 + 0 + 0*k**3 + 0*k**2 - 1/30*k**4 + k + 0*k**5. Determine t so that c(t) = 0.
-1, 0, 1
Let l(s) be the first derivative of -7*s**3/9 + 11*s**2/3 - s - 12. Factor l(j).
-(j - 3)*(7*j - 1)/3
Let x = 7 + -5. Let z(g) = -39*g**3 - 51*g**2 - 66*g. Let b(i) = 3*i**3 + 4*i**2 + 5*i. Let j(y) = x*z(y) + 27*b(y). Let j(w) = 0. What is w?
-1, 0
Factor -16*r + 51*r + 17*r + 8*r - 40 - 30*r**2 + 5*r**3.
5*(r - 2)**3
Determine h so that 1 - 33/4*h**2 + 4*h = 0.
-2/11, 2/3
Let q be 16/12*(-3)/(-6)*1. Find d such that 2/3 + 4/3*d + q*d**2 = 0.
-1
Let o(s) be the second derivative of s**5/180 + s**4/54 - s**3/54 - s**2/9 - 36*s. Factor o(u).
(u - 1)*(u + 1)*(u + 2)/9
Let i(k) = 36*k**3 + 63*k**2 - 84. Let a(w) = 5*w**3 + 9*w**2 - 12. Let v be (-4)/30*-5*-3. Let u(y) = v*i(y) + 15*a(y). Factor u(q).
3*(q - 1)*(q + 2)**2
Let 4*w**2 + 9*w**3 + 3*w**3 + 6*w**3 - 20*w**3 = 0. What is w?
0, 2
Suppose 0 = 5*r + 6 + 34. Let l = -8 - r. Factor 3/5*v**4 + 0*v**2 + 6/5*v**5 + 0 + 0*v + l*v**3.
3*v**4*(2*v + 1)/5
Let w(v) be the first derivative of -5*v**3/7 + 12*v**2/7 + 12*v/7 - 6. Let w(d) = 0. Calculate d.
-2/5, 2
Solve -4/3 + 1/3*z**3 + 3*z - 2*z**2 = 0.
1, 4
Suppose -13*x**2 + 8*x + x**3 - x**2 + 6*x**2 - 3*x**3 + 2*x**4 = 0. Calculate x.
-2, 0, 1, 2
Let 103*d**5 - 12*d - 3*d**4 - 60*d**2 + 63*d**4 - 28*d**5 - 63*d**3 = 0. What is d?
-1, -2/5, 0, 1
Let q = 13 + 57. Let h(b) = -7*b**3 - 4*b**2 - 10. Let j be h(-5). Determine t so that j*t**4 - 16 - 242*t**5 + q*t - 304*t**2 + 12*t**3 + 58*t - 433*t**5 = 0.
-2/3, 1/3, 2/5, 2/3
Let i be 10/9*16/(768/108). Solve i*q**2 - q**3 - q + 0 = 0 for q.
0, 1/2, 2
Let u(g) = -g**2 + 3*g + 3. Let y(f) = -f - 2. Let r be y(-2). Let k be u(r). Factor 2*p**2 - 1/2 + 5/4*p**k + 1/4*p.
(p + 1)**2*(5*p - 2)/4
Let o(q) be the third derivative of q**9/20160 - q**8/1344 + q**7/210 - q**6/60 + q**5/15 - 4*q**2. Let m(r) be the third derivative of o(r). Factor m(x).
3*(x - 2)**2*(x - 1)
Let r be 428/(-18) + 2/(-9). Let x be (-2)/r*(-8)/(-3). What is l in 16/9*l - x - 32/9*l**2 = 0?
1/4
Let w(m) = 6*m - 49. Let y be w(9). Let j(s) be the first derivative of 0*s**3 + 0*s + 0*s**y - 1/9*s**2 + 1/9*s**4 - 1/27*s**6 + 4. Factor j(t).
-2*t*(t - 1)**2*(t + 1)**2/9
Let i(c) = c**2 + 4*c + 2. Let r = -11 + 7. Let t be i(r). Factor 2/5*v + 0 - 2/5*v**3 - 2/5*v**4 + 2/5*v**t.
-2*v*(v - 1)*(v + 1)**2/5
Let t(l) be the second derivative of -l**8/336 - l**7/105 + l**5/30 + l**4/24 - 2*l**2 - 2*l. Let d(y) be the first derivative of t(y). Factor d(a).
-a*(a - 1)*(a + 1)**3
Suppose -k - 2*d - 2 = -5*d, 5*k = -d + 22. Let j(s) be the second derivative of 0 - 1/12*s**k + 1/6*s**3 + 0*s**2 + s. Suppose j(n) = 0. Calculate n.
0, 1
Let m = 1/1074 - 6457/13962. Let w = m - -37/52. Factor 0 - 3/4*x**3 - w*x**5 + 3/4*x**4 + 1/4*x**2 + 0*x.
-x**2*(x - 1)**3/4
Let h(i) be the first derivative of 10/3*i**3 - 18/5*i**5 + 8*i + 12*i**2 - 2 - 6*i**4. Suppose h(y) = 0. What is y?
-1, -2/3, 1
Let v be (-2)/7 + (-328)/28. Let x be (-14)/(-20) - 6/v. Let -2/5*d**3 - 6/5*d + 2/5 + x*d**2 = 0. Calculate d.
1
Let a be -2 + 4 - (-57)/72. Let u = a + -17/8. What is o in -u*o - 1/3*o**2 - 1/3 = 0?
-1
Let p(y) = -3*y + 1. Let r be p(-1). Suppose 2*a + 2 = 2*v, 2*a - 5*a = -2*v + 2. Find x, given that -2/9*x**5 + 0*x + 2/9*x**3 - 2/9*x**r + a + 2/9*x**2 = 0.
-1, 0, 1
Let v(q) = -10*q**3 - 210*q**2 - 1470*q - 3441. Let g(k) = 2*k**3 + 42*k**2 + 294*k + 688. Let t(u) = -11*g(u) - 2*v(u). Factor t(n).
-2*(n + 7)**3
Let q(l) be the second derivative of l**6/45 - l**5/10 - l**4/18 + l**3/3 + 22*l. Find x, given that q(x) = 0.
-1, 0, 1, 3
Let p(u) be the first derivative of -4*u**5/5 + 6*u**4 - 12*u**3 + 1. Find j such that p(j) = 0.
0, 3
Let h(b) = b**2 - 4*b + 5. Let l be h(3). Determine d so that -2/7*d**l + 2/7 + 0*d = 0.
-1, 1
Let y(g) be the second derivative of g**4/32 + 7*g**3/16 - 3*g**2/2 - 19*g. Solve y(f) = 0 for f.
-8, 1
Let y(u) be the third derivative of -u**5/15 - u**4/6 + 4*u**3/3 - 10*u**2. Let y(p) = 0. Calculate p.
-2, 1
Let w(k) be the first derivative of k**6/6 - 2*k**5/5 - k**4/4 + 2*k**3/3 - 13. What is j in w(j) = 0?
-1, 0, 1, 2
Factor -1/6*f**4 - f**3 - 2*f**2 - 1/2 - 5/3*f.
-(f + 1)**3*(f + 3)/6
Factor -12*z**2 - 5*z**2 + z**2 + 12*z + 12*z**2.
-4*z*(z - 3)
Let h(j) be the third derivative of -5*j**2 + 0*j + 1/18*j**3 + 1/36*j**4 + 1/180*j**5 + 0. Determine x, given that h(x) = 0.
-1
Let w = -2519/21 + 120. Let z(c) be the first derivative of 0*c**2 + 0*c - w*c**6 + 0*c**3 + 0*c**5 + 1/14*c**4 + 1. Factor z(d).
-2*d**3*(d - 1)*(d + 1)/7
Let d be 1/(-6)*2 - 52/(-144). Let m(c) be the second derivative of 0*c**2 + 1/18*c**3 + 0 - d*c**4 - c. Factor m(o).
-o*(o - 1)/3
Let s(h) be the third derivative of -h**6/120 - 3*h**5/80 - h**4/16 - h**3/24 + 10*h**2. Factor s(c).
-(c + 1)**2*(4*c + 1)/4
Let 0 - 9/4*g**2 - 3/4*g**3 + 0*g = 0. What is g?
-3, 0
Suppose 0 = -5*y + 6*j - 3*j - 2, j - 6 = -y. Suppose 0*q - y*q = 0. Find a, given that q*a**2 - 2/3*a**5 + 0 + 4/3*a**3 + 0*a**4 - 2/3*a = 0.
-1, 0, 1
Let x(o) be the first derivative of 2/21*o**3 + 0*o**2 + 1 + 0*o + 1/14*o**4. Factor x(l).
2*l**2*(l + 1)/7
Suppose -2*q - 4 = -8. Suppose 11 - 2 = 3*s - 3*g, -q*s + g + 7 = 0. Factor 2*b**4 + b**s - 5*b**4.
-2*b**4
Let r(j) = j**3 - j**2 - j. Let h(n) = 7*n**3 - 16*n**2 + 19*n. Let d(b) = -h(b) + 6*r(b). Factor d(c).
-c*(c - 5)**2
Let c(d) be the third derivative of -d**10/105840 + d**8/23520 - 3*d**4/8 + 5*d**2. Let h(y) be the second derivative of c(y). Find k, given that h(k) = 0.
-1, 0, 1
Suppose 5*l = -h + 1, 3*h - 6*h + 3 = 3*l. Find f, given that -2*f**3 - f + 0 - 5*f**3 + 10*f**2 - h - f**3 = 0.
-1/4, 1/2, 1
Suppose -2*k - 1 + 9 = 0. Factor -1 + k*v + v - 2*v + v**2 - 3*v**3.
-(v - 1)*(v + 1)*(3*v - 1)
Let r(d) be the first derivative of 0*d + 1/4*d**4 - 1 + 0*d**2 - 2/3*d**3. Find v, given that r(v) = 0.
0, 2
Factor 1/6*m**3 - 1/6*m**4 + 0 + 0*m + 0*m**2.
-m**3*(m - 1)/6
Let n(x) be the first derivative of 5*x**3/3 - 40*x**2 + 320*x + 26. Factor n(j).
5*(j - 8)**2
Factor v**4 - 40*v**2 - 47*v**2 + 2*v**3 + 88*v**2.
v**2*(v + 1)**2
Find m, given that -2/5*m**2 - 8/5 + 2*m = 0.
1, 4
Let q be (-6)/15 + 13/20. Let h = 137/4 - 34. Factor q*o**2 - 1/2 + h*o.
(o - 1)*(o + 2)/4
Suppose -4*h + 5*p = -2870, -7*p + 6*p = 2*h - 1442. Let t be ((-4)/50)/((-8)/h). Factor 2/5*x**4 + 16/5 + 8*x + 14/5*x**3 + t*x**2.
2*(x + 1)*(x + 2)**3/5
Let x = 4 + -4. Let d(w) be the first derivative of 3/4*w**4 + w**3 - 1 + 1/2*w**2 + 1/5*w**5 + x*w. Factor d(a).
a*(a + 1)**3
Suppose 2*v**2 + 8*v - 2*v**2 + 0*v**2 + 12 - 4*v**2 = 0. What is v?
-1, 3
Let r(s) be the first derivative of 2*s**5/25 - s**4/10 - 2*s**3/3 - 3*s**2/5 - 45. Factor r(g).
2*g*(g - 3)*(g + 1)**2/5
Let w be 0 - (-3 + 3 + 0). Suppose w = -2*y - 0 + 8. Factor 2*l + 2*l + 2*l**2 - y*l.
2*l**2
Let g = 117 + -115. Factor 11/3*x - 2/3 + 4/3*x**3 - 13/3*x**g.
(x - 2)*(x - 1)*(4*x - 1)/3
Let q = -290/3 - -102. Suppose -4*j + 6 = -j. Factor 2/3*k**4 - 10/3*k**3 + q*k**j + 0 - 8/3*k.
2*k*(k - 2)**2*(k - 1)/3
Let k be 2/(-8) + (-9)/(-4). What is c in 4*c + 0*c**2 - 4*c + 2*c**k = 0?
0
Factor 8*r - 22/3*r**2 + 6 + 4/3*r**3.
2*(r - 3)**2*(2*r + 1)/3
Let 0*n**2 + 0*n**2 - 48 - 39*n + 15*n - 3*n**2 = 0. Calculate n.
-4
Let h(q) = 3*q + 20. Let a be h(-6). Let g(n) be the first derivative of 1/2*n + 1/12*n**3 + 3/8*n**2 + a. Solve g(c) = 0.
-2, -1
Let s(t) be the first derivative of 10*t**3/21 + 2*t**2/7 + 2. What is y in s(y) = 0?
-2/5, 0
Suppose 12 = 5*v - 2*h, -v = 2*h + 3*h + 3. Solve 0*t - t**3 - 2*t + t - 2*t**v = 0 for t.
-1, 0
Suppose 3*i - 90 = -2*i. Let f be (i/(-8))/((-3)/72). Factor -19*v - 14*v**3 - 35*v + 18*v**2 + 12*v**3 + f.
-2*(v - 3)**3
Let i(r) be the first derivative of 3*r**4/4 - 4*r**3 + 3. Suppose i(t) = 0. Calculate t.
0, 4
Let d be (3 - 2)/(1*(-2)/(-6)). Determine f so that 1/2*f**2 - 1/4*f**d - 1/2 + 1/4*f = 0.
-1, 1, 2
Factor 0*j + 1/5*j**4 - 1/5*j**2 - 1/5*j**5 + 1/5*j**3 + 0.
-j**2*(j - 1)**2*(j + 1)/5
Factor 37*y**2 - 39*y**2 - y**3 + 3*y**3.
2*y**2*(y - 1)
Let c be ((-1)/2)/(1/(-4)). Find f such that 5*f**2 - 5*f**c - 4*f*