 is d?
-1, 0
Suppose 2*r = 5*r - 6. Let -1/3*w**r + 1/3 - 4/3*w + 4/3*w**3 = 0. Calculate w.
-1, 1/4, 1
Let i(q) be the third derivative of 0*q**3 + 0*q + 0 - 1/72*q**4 + 5*q**2 + 1/180*q**5. Solve i(p) = 0.
0, 1
Determine f, given that -20*f + 20*f**2 + 6*f**5 - 22*f**4 + 10*f**3 + 5 + 4*f**5 - 3*f**4 = 0.
-1, 1/2, 1
Suppose 6*i = -7 + 31. Determine j so that j**2 + 4 - i*j**2 - j**2 + 12 = 0.
-2, 2
Suppose -18 = 5*q + c + 7, 3*c = q - 11. Let o = 6 + q. Determine v so that -4*v**4 - 5 - o*v**2 + 6 + 0*v**2 + 5*v**4 = 0.
-1, 1
Let u be (3/(-6))/((-1)/6). Let p(g) = 3*g**3 - 9*g**2 - 6*g**3 + u*g + g**3. Let h(f) = -2*f**3 - 8*f**2 + 2*f. Let s(c) = -5*h(c) + 4*p(c). Factor s(t).
2*t*(t + 1)**2
Let x(b) be the first derivative of b**4 + 4*b**3/3 - 2*b**2 - 4*b + 9. Factor x(c).
4*(c - 1)*(c + 1)**2
Find x, given that -4/5*x**2 + 2/5*x**3 + 0 + 0*x = 0.
0, 2
Let w(q) = -q**2 + q. Let m be w(1). Let g be 4/22 + (-186)/(-66). Find t, given that 5/4*t**2 + 1/2*t**g + 1/2*t + m = 0.
-2, -1/2, 0
Let z be 3 + 25/10 - 20/8. Determine o, given that 3*o + 1 + 1/4*o**4 + 13/4*o**2 + 3/2*o**z = 0.
-2, -1
Let f = 55 - 55. Let j(u) be the second derivative of f + u - 11/42*u**4 - 4/7*u**3 - 3/70*u**5 - 4/7*u**2. Solve j(i) = 0.
-2, -1, -2/3
Factor 10*j**2 + 4*j**5 - 10*j**3 - 2*j**5 - 6*j**2 + 4*j**3.
2*j**2*(j - 1)**2*(j + 2)
Let q be (8*-1)/(3/((-9)/6)). Let l(k) be the first derivative of -10/7*k**2 - 20/7*k**q - 2/7*k - 32/35*k**5 - 1 - 22/7*k**3. Factor l(o).
-2*(o + 1)**2*(4*o + 1)**2/7
Let u(z) be the third derivative of -7/12*z**4 - 1/10*z**5 - 5*z**2 + 0*z - 2/3*z**3 + 0. Let u(c) = 0. What is c?
-2, -1/3
Determine g so that 7*g**3 - 3*g**3 + 3*g**2 - 6*g - g**3 = 0.
-2, 0, 1
Let r be 115/276 - 2/(1 + -9). Let 2/3*q**3 - r*q**2 + 0 + 0*q = 0. What is q?
0, 1
Factor -26*k + 6 - 62*k**2 - 55*k**2 + 125*k**2.
2*(k - 3)*(4*k - 1)
Let i be 1/((3/9)/(-1)). Let d be (-1 + 1)/(2 + i). Let 2/3*z**2 - 4/3*z + d = 0. What is z?
0, 2
Let q(b) be the second derivative of -b**7/126 + 2*b**6/45 - b**5/10 + b**4/9 - b**3/18 - 16*b. Factor q(o).
-o*(o - 1)**4/3
Factor -1/4*o**4 + 0 - o + 0*o**2 + 3/4*o**3.
-o*(o - 2)**2*(o + 1)/4
Determine m so that 1/2*m**5 - 1/2*m**4 + 1/2*m + m**2 - 1/2 - m**3 = 0.
-1, 1
Let a(i) = -i**2 + 5*i + 68. Let d be a(11). Factor -1/2*b + b**4 + 1/2*b**5 - b**d + 0 + 0*b**3.
b*(b - 1)*(b + 1)**3/2
Let y(i) be the third derivative of i**5/15 + 11*i**2. Let y(s) = 0. What is s?
0
Let h be 1/(-5)*22/(-11). Let l = 637/5 - 127. Determine f, given that -h*f + 0 - l*f**2 = 0.
-1, 0
Let g(h) = -2 + h**2 - 5*h - h - 2*h**2 + h. Let v be g(-4). Factor -4/9*q + 2/9 + 2/9*q**v.
2*(q - 1)**2/9
Let g(v) = -2*v - 2. Let d be g(-3). Let c(f) = -f**3 + 3*f**2 + 4*f + 2. Let i be c(d). Factor -i - 2*s**3 - 1 + 2 + 2*s + s**4.
(s - 1)**3*(s + 1)
Let x(j) = -j**2 + 7*j + 4. Let a be x(7). Suppose -8 = -z - 3*z. Let -9/2*k**3 + 7/2*k**a + k**z + 0*k + 0 = 0. What is k?
0, 2/7, 1
Let l(k) = 3*k**2 + 16*k. Let z be l(0). Factor m - 1/2*m**2 + z - 3/2*m**3 + 1/2*m**5 + 1/2*m**4.
m*(m - 1)**2*(m + 1)*(m + 2)/2
Let o(f) be the third derivative of -f**5/140 - f**4/56 - 17*f**2. Suppose o(g) = 0. What is g?
-1, 0
Let j = -6569953031/1015 + 6472861. Let u = j + -2/145. Factor -8/7*a + u*a**2 + 2/7.
2*(a - 1)*(3*a - 1)/7
Factor 8/9*q - 2/9*q**2 - 8/9.
-2*(q - 2)**2/9
Let l be 1/3 - 9/30. Let p(i) be the third derivative of l*i**5 - 1/56*i**8 - 1/60*i**6 + 0*i**4 + 0*i**3 - 1/21*i**7 + 0 + 0*i - i**2. Factor p(w).
-2*w**2*(w + 1)**2*(3*w - 1)
Let i(f) = 2*f**2 + 7*f + 72. Let p(r) = -r**2 - 2*r - 24. Let u(y) = 4*i(y) + 11*p(y). Determine t so that u(t) = 0.
-2, 4
Let j(r) be the second derivative of 4*r - 2/3*r**2 + 1/4*r**4 - 3/20*r**5 + 2/9*r**3 + 0. Let j(b) = 0. Calculate b.
-2/3, 2/3, 1
Let a(t) be the second derivative of t**4/78 - t**3/39 + 26*t. Determine n, given that a(n) = 0.
0, 1
Let b(x) be the first derivative of -x**5/210 - x**4/21 - 4*x**3/21 + x**2/2 + 6. Let j(u) be the second derivative of b(u). Let j(d) = 0. Calculate d.
-2
Factor 8/5*y - 4/5*y**2 - 4/5*y**3 + 0.
-4*y*(y - 1)*(y + 2)/5
Suppose -247 = -4*c + 229. Let b = 247/2 - c. Let 1/2 + 1/2*m + 11/2*m**3 - 2*m**4 - b*m**2 = 0. Calculate m.
-1/4, 1
Let x(a) be the third derivative of -a**9/20160 + a**8/26880 + a**7/3360 - a**6/2880 + a**4/8 - 3*a**2. Let s(t) be the second derivative of x(t). Factor s(k).
-k*(k - 1)*(k + 1)*(3*k - 1)/4
Suppose 2*m = -m. Suppose 18 = 2*a + 5*c, m*a - c + 22 = 5*a. Solve 3 + 14*l**4 + a*l - 16*l**2 - 8*l**5 + 2 + 0*l**3 + 4*l**3 - 3 = 0 for l.
-1, -1/4, 1
Let u(x) be the second derivative of -x**5/150 + x**4/90 + 6*x. Factor u(j).
-2*j**2*(j - 1)/15
Let a = -24 - -26. Let j(m) be the first derivative of -2/9*m**3 + 0*m + 1/3*m**a - 2. Factor j(i).
-2*i*(i - 1)/3
Let r(w) be the first derivative of w**6/15 + w**5/10 - w**4/6 - w**3/3 - w - 2. Let t(p) be the first derivative of r(p). Solve t(c) = 0 for c.
-1, 0, 1
Let u = -27 - -18. Let v be 6*(-3)/u*20. Let 25*l**3 - 28*l**2 - 34*l**3 - 4*l - v*l**3 = 0. Calculate l.
-2/7, 0
Let q(x) be the third derivative of x**11/332640 - x**5/60 + 3*x**2. Let t(u) be the third derivative of q(u). Factor t(p).
p**5
Factor 4*s**3 + 4*s**2 - 4*s - 5 + 8 - 7.
4*(s - 1)*(s + 1)**2
Let f(v) be the third derivative of -5*v**8/2352 + 17*v**7/1470 - v**6/40 + 11*v**5/420 - v**4/84 - 4*v**2. Let f(g) = 0. Calculate g.
0, 2/5, 1
What is o in -6 - 21*o - 5*o**2 - o**2 - 3*o**2 = 0?
-2, -1/3
Let w(k) be the third derivative of -k**6/24 - k**5/4 + 5*k**4/24 + 5*k**3/2 - 7*k**2. Factor w(j).
-5*(j - 1)*(j + 1)*(j + 3)
Let n(u) be the third derivative of -u**6/120 - u**5/20 - u**4/24 - u**3/6 + 3*u**2. Let l be n(-3). Factor -2*c**4 + 2*c**3 - 9*c**2 + 8*c**l + c**4.
-c**2*(c - 1)**2
Suppose 0*t + t = 6*t. Find v, given that t*v - 3/4*v**3 + 1/4*v**2 + 0 + 3/4*v**4 - 1/4*v**5 = 0.
0, 1
Let m(z) be the second derivative of -1/36*z**4 + 0 - 2/3*z**2 + 2/9*z**3 + z. Factor m(y).
-(y - 2)**2/3
Let p(c) be the first derivative of -2*c**6/15 + 8*c**5/25 - 8*c**3/15 + 2*c**2/5 + 24. Factor p(d).
-4*d*(d - 1)**3*(d + 1)/5
Suppose -3*d = -0*d - 6. Suppose 3*w - 4*k + 6 = -d*k, -w = 5*k - 15. Solve w*h + 1/2*h**2 - 1/2 = 0.
-1, 1
Let w(h) be the third derivative of 2*h**7/315 - 2*h**6/45 + h**5/9 - h**4/9 + 21*h**2. Let w(i) = 0. Calculate i.
0, 1, 2
Determine b so that -3*b**2 + 11*b**4 - 17*b**4 - 29*b**4 + 25*b - 10 + 48*b**2 - 25*b**3 = 0.
-1, 2/7, 1
Let i(h) be the second derivative of -7*h**5/120 - 5*h**4/72 + h**3/18 - 8*h. Find k such that i(k) = 0.
-1, 0, 2/7
Let g(x) be the third derivative of x**5/90 - x**4/18 + x**3/9 - x**2. Determine m, given that g(m) = 0.
1
Let j(u) = u**2 + 2*u + 1. Let n be -8*(20/(-16) - -2). Let o(w) = w + 1. Let m(q) = n*o(q) + 3*j(q). Suppose m(p) = 0. Calculate p.
-1, 1
Suppose 5*z = -0*z + 5. Find x such that -4*x + 5*x**2 + x + 3*x**3 - 23*x**4 + 19*x**4 - z = 0.
-1, -1/4, 1
Let m be ((-10)/20)/((-6)/(-32)*-2). Find i, given that -2/3*i**2 + 2*i - m = 0.
1, 2
Let d(v) = v + 1. Let j be 4/8 - (-9)/6. Let m be d(j). Factor 4/5*f**2 + 2/5*f**5 - 2/5*f + 0 - 4/5*f**4 + 0*f**m.
2*f*(f - 1)**3*(f + 1)/5
Let u(i) = -6*i**5 - 7*i**4 + 24*i**3 + 19*i**2 - 25*i - 19. Let l(d) = 3*d**5 + 3*d**4 - 12*d**3 - 9*d**2 + 12*d + 9. Let q(n) = -7*l(n) - 3*u(n). Factor q(j).
-3*(j - 2)*(j - 1)*(j + 1)**3
Let f be 1/(1 + (-3 - -3)). Let m(b) be the first derivative of 0*b**3 + 1/2*b**4 - 4/5*b**5 - f + 0*b + 0*b**2 + 1/3*b**6. Factor m(x).
2*x**3*(x - 1)**2
Let m(l) be the first derivative of l**5/300 + l**4/120 - l**3/15 + 2*l**2 - 5. Let c(d) be the second derivative of m(d). Factor c(z).
(z - 1)*(z + 2)/5
Let v(x) be the third derivative of 3*x**7/455 + 7*x**6/260 + 8*x**5/195 + x**4/39 + 22*x**2. Let v(r) = 0. Calculate r.
-1, -2/3, 0
Let b(f) be the first derivative of -2/21*f**3 + 1/7*f**2 + 0*f + 5. Suppose b(y) = 0. Calculate y.
0, 1
Let i(u) be the third derivative of -u**8/10080 + u**7/840 - u**6/180 + u**5/60 - u**2. Let s(c) be the third derivative of i(c). Factor s(d).
-2*(d - 2)*(d - 1)
Let f(a) = a**2 - 7*a - 2. Let u(i) = i**2 + 1. Let q(r) = -f(r) - 4*u(r). Factor q(x).
-(x - 1)*(5*x - 2)
Let d(k) be the first derivative of -k**5 + 5*k**4/4 + 5*k**3/3 - 5*k**2/2 + 27. Solve d(a) = 0.
-1, 0, 1
Let a(w) be th