et t(a) = 0. What is a?
-1, 1, 48
Suppose 2 = -3*l - 0*l + 4*t, l + 4*t = 10. Let s(r) = -r**2 + 12*r - 11. Let k be s(10). Suppose -k*z + 9*z + 3*z**l = 0. Calculate z.
0
Let m(k) be the third derivative of -k**5/300 + k**4/12 + 4*k**3/5 - 22*k**2 + 3. Factor m(t).
-(t - 12)*(t + 2)/5
Let f(w) = w**2 - w - 2. Let s(o) = 3*o**2 - 2*o - 8. Let n(t) = 2*f(t) - s(t). Let n(x) = 0. What is x?
-2, 2
Let j = 12 - -1. Let q = j + -13. Determine m, given that 2*m + m**4 + q*m**4 + 6*m**3 - 3*m**4 - 6*m**2 + 0*m**4 = 0.
0, 1
Let -5*m - m - 29 + 2*m**2 + 43 - 10*m = 0. What is m?
1, 7
Let z(l) be the second derivative of 0 - 12*l + l**4 + 1/5*l**5 + 4/3*l**3 + 0*l**2. Factor z(v).
4*v*(v + 1)*(v + 2)
Determine y, given that 9/2*y - 7/4*y**3 + 0 + 1/8*y**4 + 21/8*y**2 = 0.
-1, 0, 3, 12
Let d(u) be the first derivative of -u**3/12 + 27*u**2/4 - 729*u/4 + 17. Factor d(y).
-(y - 27)**2/4
Suppose 15*n - 10 = 10*n. Let q(x) be the second derivative of 2*x + 0 - 3/40*x**5 + 0*x**3 - 1/12*x**4 - 1/60*x**6 + 0*x**n. Factor q(f).
-f**2*(f + 1)*(f + 2)/2
Suppose 3*k + 11 = -2*t, 4*t + 11 = -0*t + 5*k. Let w be (-6)/t*2 + (23 - 24). Let 0*v - 2/3*v**3 + 0*v**w + 0 = 0. Calculate v.
0
Let m = 1898 + -1894. Let j(g) be the second derivative of 0 - 1/30*g**6 - 1/3*g**3 - 13*g - 3/20*g**5 + 5/12*g**m + 1/42*g**7 + 0*g**2. Factor j(l).
l*(l - 1)**3*(l + 2)
Let p(c) = -c**3 - 7*c**2 - 5*c + 9. Let q be (-3)/3 - 1 - (-16)/(-4). Let m be p(q). Factor -y**2 - 1/2 - 1/2*y**5 - y**m + 3/2*y + 3/2*y**4.
-(y - 1)**4*(y + 1)/2
Find g, given that -3*g**4 + 1967*g**3 + 120*g - 5 - 34 - 126*g**2 - 1919*g**3 = 0.
1, 13
Suppose -f + 7 = 4*t, -3*t + 18 = -2*t - 3*f. Factor -8*x**3 + 14*x**3 - 5*x**3 - 3*x**2 + t*x - 1.
(x - 1)**3
Let g be ((-59)/9 + 6)/(2/(-6)). Let d(c) be the second derivative of 0 + g*c**3 - 5/12*c**4 + 0*c**2 + 5*c. Find u, given that d(u) = 0.
0, 2
Let d(b) be the second derivative of 0 - b**4 + 6*b + 3*b**3 + 1/10*b**5 + 0*b**2. Factor d(i).
2*i*(i - 3)**2
Let f be 92/10 + 2/(-10). Let l(u) = -2*u**3 - 2*u**2 + 8*u + 14. Let m(r) = -8*r**3 - 7*r**2 + 31*r + 57. Let a(c) = f*l(c) - 2*m(c). Factor a(t).
-2*(t - 2)*(t + 1)*(t + 3)
Determine i, given that -968/7 + 88/7*i - 2/7*i**2 = 0.
22
Suppose o = j - 1, -3*o - 16*j = -15*j - 9. Let q(b) be the third derivative of 0*b**3 - 1/20*b**5 - 7*b**o + 1/4*b**4 + 0 - 1/40*b**6 + 0*b. Factor q(u).
-3*u*(u - 1)*(u + 2)
Let k be ((-4 + 2 - -2)/(-2))/2. Let x(v) be the third derivative of 1/120*v**5 + 1/48*v**4 + 0 + 0*v + k*v**3 - 9*v**2. Let x(w) = 0. What is w?
-1, 0
Let v be -2 + (7444/44 - -1). Let k = -168 + v. Factor 4/11*l**2 + 0*l + k*l**3 + 0.
2*l**2*(l + 2)/11
Factor -6 + x + 3*x**2 + 20*x - 14*x - 4*x**2 - 2*x.
-(x - 3)*(x - 2)
Let o = -324 - -328. Let z be -2 + (4 + 1 - -2). Factor 5*j**o - 5*j**3 + 5*j**z - j**4 - 5*j**2 + j**4.
5*j**2*(j - 1)*(j + 1)**2
Suppose 0 = p, -35 = -5*h - 2*p + 10. Suppose -5*x**3 - 20*x + h*x + 11*x - 10*x**4 = 0. Calculate x.
-1/2, 0
Let v(p) be the first derivative of -3/5*p**5 + 7*p**2 - 5*p + 8/3*p**3 - 7/2*p**4 - 20. Determine a, given that v(a) = 0.
-5, -1, 1/3, 1
Factor 64/9 - 16/9*q + 1/9*q**2.
(q - 8)**2/9
Let s = -11245/8 + 1406. Factor 81/8 - s*w**3 + 27/8*w**2 - 81/8*w.
-3*(w - 3)**3/8
Let g(d) = d**4 - d**3 + 7*d**2 + 5*d - 2. Suppose -105 = -4*j + 99. Let n(m) = 9*m**4 - 9*m**3 + 57*m**2 + 41*m - 17. Let l(a) = j*g(a) - 6*n(a). Factor l(c).
-3*c*(c - 3)*(c + 1)**2
Suppose -2*b = -r + 12, -r = -b - 0*b - 8. Determine z, given that 7*z**3 - 9*z**3 + 5*z - 2 + z**3 + z**r - 3*z**2 = 0.
-2, 1
Let -109/7*w**3 + 29/7 - 201/7*w**2 - 59/7*w + 4/7*w**4 = 0. What is w?
-1, 1/4, 29
Suppose -1/3*n**2 + 1/3*n**3 + 1/3 - 1/3*n = 0. What is n?
-1, 1
Let r = -71 + 91. Let h = r + -39/2. Find t such that -2 - h*t**2 - 5/2*t = 0.
-4, -1
Factor -7*b**3 - b**3 - 257*b + 5*b**3 + 441 + 51*b**2 - 16*b.
-3*(b - 7)**2*(b - 3)
Let x(c) be the first derivative of -c**3 + 3*c**2/2 + 18*c - 5. Factor x(o).
-3*(o - 3)*(o + 2)
Let k(y) = -y - 2. Let u be 140/(-98) - 8/14. Let v be k(u). Factor 1/2*l**2 + 0 + v*l.
l**2/2
Suppose -1/6*h**3 + 1/6*h - 1/6*h**2 + 1/6 = 0. Calculate h.
-1, 1
Let n(p) = -p**3 + 6*p**2 + 12*p - 31. Let x be n(7). Let d(w) be the second derivative of 9/2*w**2 - 3*w - 3/2*w**3 + 0 + 1/4*w**x - 1/60*w**5. Factor d(h).
-(h - 3)**3/3
Factor -21/4*y**3 + 0 + 3*y**4 + 3/2*y**2 + 3/4*y.
3*y*(y - 1)**2*(4*y + 1)/4
Let q(b) be the third derivative of -b**8/1680 - b**7/420 - b**6/600 - 12*b**2 + 1. Find y such that q(y) = 0.
-2, -1/2, 0
Suppose 0 = 4*i + 7 - 107. Suppose 3*q + h = -3*h - 11, -5*q + 2*h = -i. Find w, given that w**q + 4*w - 4*w**3 + 3*w**2 + w**4 - 5*w = 0.
0, 1
Suppose 1 = 43*b - 85. Let c(h) be the second derivative of 0*h**3 - 6*h + h**4 - 8*h**b - 1/5*h**5 + 0. Find l such that c(l) = 0.
-1, 2
Suppose 7*u = 12*u - 65. Suppose -u*g = -g - 1728. Determine l so that -g*l**2 + 75/2*l**5 + 24*l + 0 - 180*l**4 + 276*l**3 = 0.
0, 2/5, 2
Find b, given that -46*b + 18*b**2 - 21*b**3 + 77*b**3 + 30 + 0 - 58*b**3 = 0.
1, 3, 5
Let w(i) be the first derivative of i**5 - 35*i**4/4 + 30*i**3 - 50*i**2 + 40*i - 35. Suppose w(s) = 0. What is s?
1, 2
Let u(z) be the first derivative of 1/3*z**3 - 7/10*z**2 + 3/5*z + 33 - 1/20*z**4. Factor u(r).
-(r - 3)*(r - 1)**2/5
Let b(i) be the second derivative of -i**7/6720 + 3*i**6/640 - i**5/40 - 37*i**4/12 + 37*i. Let y(x) be the third derivative of b(x). Factor y(u).
-3*(u - 8)*(u - 1)/8
Let q(t) be the first derivative of -5*t**4 + 4/5*t**5 + 32/3*t**3 + 0*t - 8*t**2 + 15. Factor q(i).
4*i*(i - 2)**2*(i - 1)
What is f in 0 - 5/4*f + 5/4*f**2 = 0?
0, 1
What is q in 77/9*q - 1/9*q**2 - 76/9 = 0?
1, 76
Determine h so that -29*h + 17*h**4 - 26*h**2 + 54 + 0*h**2 - 18*h**4 + 29*h**3 - 27*h**2 = 0.
-1, 1, 2, 27
Let s(g) be the first derivative of -2*g**3/39 + 2*g**2 - 50*g/13 - 44. Let s(z) = 0. What is z?
1, 25
Let v(j) be the second derivative of 0*j**3 + 1/70*j**5 + 0 + 0*j**2 - 15*j - 1/105*j**6 + 0*j**4. What is h in v(h) = 0?
0, 1
Let i = 8 - 4. Let o(d) be the third derivative of -d**2 + 0*d - 1/150*d**5 + 1/60*d**i + 0 + 0*d**3. Solve o(p) = 0 for p.
0, 1
Suppose 0 = -7*g + 8*g. Let u(n) be the third derivative of 0*n**3 + g*n + 0 - 6*n**2 + 1/30*n**5 + 0*n**4. Let u(x) = 0. What is x?
0
Let y(p) be the second derivative of 2*p**4/15 + 59*p**3/15 - 3*p**2 - 6*p - 1. Determine x so that y(x) = 0.
-15, 1/4
Suppose -2*z = -4*l - l + 21, 13 = 3*l - z. Suppose -4*p - o - 2*o + 2 = 0, l*p - 2*o = 14. What is x in 6 + 0 + 12*x**p + 3*x - 6 = 0?
-1/4, 0
Let b = 21873/5 + -242298/55. Let l = b + 31. Factor -l*p**3 + 8/11 + 0*p - 6/11*p**2.
-2*(p - 1)*(p + 2)**2/11
Let j = 17 - 28. Let f = j + 13. What is i in f*i**2 - 2*i**3 - 27*i**4 + 25*i**4 + 2*i**5 + 0*i**2 = 0?
-1, 0, 1
Let q = 13022 + -13020. What is l in -1/3 + 1/3*l**4 + 2/3*l**3 + 0*l**q - 2/3*l = 0?
-1, 1
Let w(f) be the first derivative of 3*f**5/10 - 7*f**4/4 + 4*f**3 - 9*f**2/2 - 5*f + 4. Let c(d) be the first derivative of w(d). Suppose c(v) = 0. What is v?
1, 3/2
Determine p, given that -2/3*p**2 - 4/9*p**3 + 0 + 4/9*p = 0.
-2, 0, 1/2
Let z = -2 + 3. Suppose -6 - 18 = -4*g. Factor 2*k**2 + g - 7 - z.
2*(k - 1)*(k + 1)
Solve 4*s + 8*s + 128*s**3 - 33*s**3 - 55*s**2 - 54*s**4 - 2*s + 4*s**4 = 0.
0, 2/5, 1/2, 1
Determine z, given that 32/5*z**2 + 0 + 4*z = 0.
-5/8, 0
Suppose f - 8 = -3*f. Find m such that -3*m**f + 2*m - 3*m**2 + 2*m**3 - m + 5*m - 2 = 0.
1
Let m = -4/121 + 3283/484. Let d(y) be the first derivative of 9/4*y**2 - 1/4*y**3 - 1 - m*y. Determine h so that d(h) = 0.
3
Let 2/3*v**3 + 0 + 4/5*v + 62/15*v**2 = 0. What is v?
-6, -1/5, 0
Let g(u) = -16*u**3 + 2*u + 1. Let c be g(-1). Factor 2*t - 3*t**5 - c*t**4 - 21*t**2 + 8*t - 16*t - 11*t**3 - 16*t**3.
-3*t*(t + 1)**3*(t + 2)
Factor 2/3 - 16/21*y + 2/21*y**2.
2*(y - 7)*(y - 1)/21
Let 398*g**2 + 27*g + 55*g - 224 + 34*g - 400*g**2 = 0. What is g?
2, 56
Let j(d) = d**3 + 10*d**2 + d + 12. Let b be j(-10). Suppose 22*s = -s - b*s. Solve s*c + 0 - 4/5*c**3 - 1/5*c**2 - 3/5*c**4 = 0 for c.
-1, -1/3, 0
Let j = 5 - -15. What is g in -17*g + 7*g**4 - 70*g**3 - 23*g + j*g**2 + 8*g**4 + 80*g**2 = 0?
0, 2/3, 2
Suppose -23/2*y - 1/2*y**5 + y**2 + 12*y**3 - 6 + 5*y**4 = 0. Calculate y.
-1, 1, 12
Let u = 635 - 59. Find j, given th