 9 = 3*j, -5*k = 2*j - 18. Let h be 3/(-6)*(-6)/j. Find d, given that -2/3*d**3 + 0 - h*d**2 - 1/3*d**4 + 0*d = 0.
-1, 0
Let p be (-2)/(-6)*4/2. Suppose 2*a + 17 = 21. Solve 0*j + 4/9*j**3 + p*j**a - 2/9 = 0 for j.
-1, 1/2
Suppose 2*g = -2*g - 4*s + 8, 2*g = 4*s + 10. Let x be (g/(9/(-12)))/(-2). What is j in 8*j**x - 5/2*j**3 - 25/2*j**4 - 2*j + 0 = 0?
-1, 0, 2/5
Let s be (-1)/(((-1)/(-4))/(-1)). Suppose 2*y**5 + y**4 + y**3 - 5*y**s + 0*y**4 + y**3 = 0. What is y?
0, 1
Suppose -t + 5*r = -3, 49 = -5*t - 5*r - 26. Let m be (7/(-14))/(2/t). Factor 0 + 0*l**2 + 0*l**4 - m*l**3 + 3/2*l**5 + 3/2*l.
3*l*(l - 1)**2*(l + 1)**2/2
Let p(f) be the second derivative of 0 + 1/6*f**4 + 0*f**3 + 0*f**2 - f. Solve p(d) = 0 for d.
0
Let h(b) = b**3 - 3*b + 2. Let l be h(2). Suppose l*n - 2*n = 0. Let -1/2*g + 3/2*g**2 + n = 0. Calculate g.
0, 1/3
Let t(m) be the first derivative of -3*m**2 + 3/2*m**4 + m**3 + 0*m + 1 - 3/5*m**5. Factor t(z).
-3*z*(z - 2)*(z - 1)*(z + 1)
Determine b, given that -2/13*b**4 - 4/13*b + 2/13*b**2 + 4/13*b**3 + 0 = 0.
-1, 0, 1, 2
Let u = -18 - 1. Let n = u - -21. Find y, given that -3/4*y**n + 0*y - 1/4*y**3 + 1 = 0.
-2, 1
Suppose -6/7*v**2 - 216/7 + 72/7*v = 0. Calculate v.
6
Suppose -4*f - 10 = 2*o, -6*o + o - 5 = 5*f. Find i such that i**2 + 3*i**2 + 10*i + i**3 - 2*i - 13*i**o = 0.
-2/3, 0, 1
Let s(o) be the third derivative of 21*o**8/8 - 41*o**7/15 - 29*o**6/10 + 2*o**5/5 + 2*o**4/3 - 8*o**2. Solve s(q) = 0 for q.
-2/7, 0, 2/9, 1
Determine u, given that 2/3*u**2 + 14/9 + 44/9*u = 0.
-7, -1/3
Factor -1/5*g**2 + 2/5*g + 0.
-g*(g - 2)/5
Let u(d) be the third derivative of d**8/1176 + d**7/735 - d**6/140 - d**5/210 + d**4/42 + 13*d**2 + 2*d. Solve u(o) = 0.
-2, -1, 0, 1
Let y = 27 + -19. Let b(l) = l - 6. Let g be b(y). What is x in -g*x**2 + 6 + 0 + 2 = 0?
-2, 2
Let t = 67 + -334/5. Let x be (-12)/(-20) + 3/(-5). Determine w so that -t*w**2 - 3/5*w**3 - 1/5*w**5 - 3/5*w**4 + x + 0*w = 0.
-1, 0
Let p(d) be the third derivative of d**7/1155 - d**6/110 + d**5/330 + 2*d**4/11 + 16*d**3/33 + 45*d**2. Factor p(y).
2*(y - 4)**2*(y + 1)**2/11
Let f(v) be the first derivative of v**6/180 + v**5/120 - v**4/24 - 2*v**3/3 - 3. Let h(k) be the third derivative of f(k). Factor h(o).
(o + 1)*(2*o - 1)
Suppose 0 = -15*d + 20*d. Factor d*h**2 + 1/4*h**4 + 0 + 0*h + 1/4*h**3.
h**3*(h + 1)/4
Let f(w) be the first derivative of 3/2*w**4 - 3*w + 0*w**3 - 3*w**2 - 4 + 3/5*w**5. Find t, given that f(t) = 0.
-1, 1
Suppose 12*z**3 + 3*z - 11*z**3 + 6*z**2 - 2*z**2 = 0. What is z?
-3, -1, 0
Let g = -67/2450 - -5/147. Let t(c) be the third derivative of -c**2 + 0*c + 0*c**5 + 0*c**7 + g*c**6 + 0 - 1/840*c**8 + 0*c**3 - 1/60*c**4. Factor t(l).
-2*l*(l - 1)**2*(l + 1)**2/5
Suppose 3*s = -5*f + 16, -s - f + 10 = 2. Let n = 12 - s. Factor 1/3*j + 0*j**4 + 1/3*j**5 - 2/3*j**3 + 0*j**2 + n.
j*(j - 1)**2*(j + 1)**2/3
Let j = 806/3 - 342. Let t = j - -74. Factor 0*x + 2/3 - t*x**2.
-2*(x - 1)*(x + 1)/3
Let t(b) = 2*b**2 - 8*b + 5. Let z be t(5). Suppose -6*o + o + z = 0. Factor -3*d**3 - 8*d**4 + d**3 + 0*d**o + 4*d**2 + 6*d**5.
2*d**2*(d - 1)**2*(3*d + 2)
Let u(d) = 3*d**5 + 21*d**4 + 10*d**3 + 10*d**2. Let k(i) = i**5 + i**3 - i**2. Let s(l) = -6*k(l) - u(l). Let s(b) = 0. Calculate b.
-1, -2/3, 0
Let l(s) be the second derivative of s**8/3360 + s**7/840 + s**6/720 + s**3/3 - 4*s. Let t(c) be the second derivative of l(c). Factor t(w).
w**2*(w + 1)**2/2
Let x(r) = r**5 - 22*r**4 - 162*r**3 - 638*r**2 - 1280*r - 1026. Let w(n) = -n**5 + n**4 + n**3 - n**2 + 1. Let p(g) = 4*w(g) + 2*x(g). Factor p(u).
-2*(u + 4)**5
Let c = 20 - 16. Let z(v) be the second derivative of 0 + 2*v - 3/40*v**5 + 0*v**2 - 1/2*v**3 - 3/8*v**c. Determine k, given that z(k) = 0.
-2, -1, 0
Let h(f) = -5*f**3 - 3*f**2 + 3*f + 3. Let u(c) = c**3. Let p(x) = -3*x. Let b be p(1). Let a = b + 1. Let g(v) = a*u(v) - h(v). Suppose g(o) = 0. Calculate o.
-1, 1
Let u = 3 + 2. Factor -2*o + 4*o + o**2 + 4*o**3 - u*o**3 + 0*o.
-o*(o - 2)*(o + 1)
Solve -5*z**5 - 24*z**4 - 29*z**4 + z**5 + 45*z**4 = 0.
-2, 0
Determine o, given that 8/5 - 2/5*o**2 + 0*o = 0.
-2, 2
Solve 0*g + 0 + 2/5*g**3 + 2/5*g**2 = 0 for g.
-1, 0
Let x(c) = -3*c**3 + 7*c**2 + 6*c - 4. Let f(l) = -l**3 + l**2 + l - 1. Let q be (32/(-12))/(4/(-6)). Let k(i) = q*f(i) - x(i). Factor k(s).
-s*(s + 1)*(s + 2)
Let g(z) be the second derivative of 1/12*z**4 + z + 0*z**3 - 1/2*z**2 + 0. What is i in g(i) = 0?
-1, 1
Let z = 38/85 - -6/17. Solve 4/5 - 2/5*k**3 - z*k**2 + 2/5*k = 0.
-2, -1, 1
Factor 2*g**2 - 7*g + 3*g + 4*g**3 - 2*g**4 - 2 + 2.
-2*g*(g - 2)*(g - 1)*(g + 1)
Factor 0*h + 8/3 - 2/3*h**2.
-2*(h - 2)*(h + 2)/3
Suppose -6*k - k + 21 = 0. Let x(a) be the first derivative of -1/7*a**2 - 2/21*a**k - 4 + 0*a. Determine j, given that x(j) = 0.
-1, 0
Let c(x) be the third derivative of 0*x + 1/20*x**6 - 1/8*x**4 - 1/112*x**8 + 0*x**3 + 0*x**5 - 4*x**2 + 0*x**7 + 0. Factor c(a).
-3*a*(a - 1)**2*(a + 1)**2
Let r(m) be the third derivative of -m**5/60 - m**4/24 + m**3/3 - 4*m**2. Find w such that r(w) = 0.
-2, 1
Let w(g) be the third derivative of 0*g + 0 - 1/180*g**5 - 1/18*g**3 + 5*g**2 + 1/36*g**4. Factor w(q).
-(q - 1)**2/3
Let q(f) = -8*f**2 - 24*f - 25. Let p(a) = 4*a**2 + 12*a + 12. Let v(g) = 9*p(g) + 4*q(g). Find r such that v(r) = 0.
-2, -1
Let t(f) be the third derivative of 0 - 1/60*f**6 - 2/15*f**5 - 5/12*f**4 + 0*f - 2/3*f**3 + 2*f**2. Suppose t(z) = 0. Calculate z.
-2, -1
Let r = -4/15 + 8/15. Let w(a) be the first derivative of 0*a + 2 + 1/10*a**4 + 2/25*a**5 + 0*a**2 - r*a**3. Factor w(j).
2*j**2*(j - 1)*(j + 2)/5
Let m(y) be the third derivative of -y**9/8640 - y**8/2240 + y**7/420 + y**6/180 - 7*y**5/60 + y**2. Let a(d) be the third derivative of m(d). Factor a(f).
-(f - 1)*(f + 2)*(7*f + 2)
Factor 7*v**2 - 15*v + 12*v**3 + 9 - 4*v**2 + 5*v**3 - 14*v**3.
3*(v - 1)**2*(v + 3)
Let j(w) be the third derivative of w**5/180 - w**4/24 + w**3/9 - w**2. Factor j(p).
(p - 2)*(p - 1)/3
Factor 2 + 3/4*k**3 + 5*k + 7/2*k**2.
(k + 2)**2*(3*k + 2)/4
Let y(r) be the second derivative of -r**8/6720 - r**7/1260 - r**4/12 + 6*r. Let c(t) be the third derivative of y(t). Factor c(d).
-d**2*(d + 2)
Let k = 0 - -2. Factor -2/3 - 8/3*w - 2*w**k.
-2*(w + 1)*(3*w + 1)/3
Let m(l) be the first derivative of l**5/140 - l**3/42 + 4*l - 6. Let p(i) be the first derivative of m(i). Solve p(g) = 0 for g.
-1, 0, 1
Let g(i) be the first derivative of -i**5/120 - i**4/24 - i**3/12 + 3*i**2/2 + 6. Let t(n) be the second derivative of g(n). Factor t(h).
-(h + 1)**2/2
Let d(c) be the third derivative of -c**8/70560 + c**7/8820 - c**5/15 - 10*c**2. Let r(o) be the third derivative of d(o). Find s such that r(s) = 0.
0, 2
Let r be (66/4)/(12/(-24)). Let w be (-105)/r - 2/11. Factor -2/9*h**2 + 0*h - 2*h**4 + 4/3*h**w + 0.
-2*h**2*(3*h - 1)**2/9
Let o(w) be the second derivative of w**4/24 - w**3/2 + 2*w**2 + 23*w. Factor o(l).
(l - 4)*(l - 2)/2
Suppose 0 = -l - 2 + 3. Suppose 5 = 4*q - 3*s, -q + 4 - l = s. Factor -4*b**4 - 3*b**5 + 2*b**2 + 6*b**3 + b - 6*b**q + 4*b**5.
b*(b - 1)**4
Let y(u) be the first derivative of 0*u**2 + 1/3*u**3 + 2/5*u**5 + 2*u - 5/6*u**4 - 4. Let s(j) be the first derivative of y(j). Factor s(m).
2*m*(m - 1)*(4*m - 1)
Let g = -1342/9 + 150. Suppose g + 2/3*v**2 + 10/9*v**3 - 8/3*v = 0. Calculate v.
-2, 2/5, 1
Let h(u) be the third derivative of u**7/315 + u**6/180 - u**5/90 - u**4/36 + 54*u**2. Factor h(y).
2*y*(y - 1)*(y + 1)**2/3
Let x = -2 - -6. Suppose 2 + 2 = x*i. Let -21/4*a**2 - i - 5*a = 0. Calculate a.
-2/3, -2/7
Suppose 39*h - 113 = 4. What is q in -2/7*q**4 + 0 + 0*q + 4/7*q**h + 0*q**2 = 0?
0, 2
Let 7*f - 4*f**4 + 3*f + 4*f**5 - 2*f + 0*f + 4*f**2 - 12*f**3 = 0. Calculate f.
-1, 0, 1, 2
Let s(a) be the second derivative of 7*a**7/660 + 7*a**6/198 - 13*a**5/165 + 2*a**4/33 - a**3/6 + 4*a. Let b(f) be the second derivative of s(f). Factor b(g).
2*(g + 2)*(7*g - 2)**2/11
Let s(k) = 2*k - 4. Suppose 6 = 2*h - 0. Let m be s(h). Solve -2/3*y + 2/3*y**m + 0 = 0.
0, 1
Suppose -5*o = -10, -3*h = 2*o + 24 - 100. Suppose 3*v + 3*r + 11 = -2*r, -4*v = -3*r - h. Factor 3/2*t**5 - 1 - 7/2*t - 3*t**2 + 2*t**v + 4*t**4.
(t - 1)*(t + 1)**3*(3*t + 2)/2
Let k be (1/(-3))/((-2)/3). Let m = 5/9 - 1/18. Determine t so that -1 - m*t + k*t**2 =