q) be the second derivative of q**6/70 - 3*q**5/28 + 3*q**4/14 - 4*q - 3. Let o(u) = 0. Calculate u.
0, 2, 3
Let -2/9*t**5 + 2/9*t**4 + 2/9*t**3 + 0*t - 2/9*t**2 + 0 = 0. Calculate t.
-1, 0, 1
Let l be (-2 + 3)/(5/(-15)). Let a be l*5/(-75)*6. Factor 27/5*b + 9/5*b**3 - a - 6*b**2.
3*(b - 2)*(b - 1)*(3*b - 1)/5
Let h be (-1 + 2/6)*(-27)/36. Factor -h*g**2 + 1/4*g**3 + 0 + 1/4*g.
g*(g - 1)**2/4
Let p = -4/15 + 31/60. Let w be 14/84 - 2/(-6). Find d such that -1/4*d**2 - w*d - p = 0.
-1
Let x(q) be the second derivative of 0*q**2 + 0*q**6 + 0*q**4 + 0*q**3 + 0 - 1/63*q**7 - 3*q + 1/30*q**5. What is g in x(g) = 0?
-1, 0, 1
Let t(f) be the second derivative of f**5/40 - 3*f**4/32 + f**3/24 + 9*f. Factor t(h).
h*(h - 2)*(4*h - 1)/8
Let l(t) be the first derivative of -t**6/8 - 11*t**5/20 - t**4/8 + 7*t**3/6 + 5*t**2/8 - 3*t/4 - 47. Suppose l(d) = 0. What is d?
-3, -1, 1/3, 1
Factor -2*o**2 - 3*o**2 + 3*o**2 + o**2.
-o**2
Let b(n) be the second derivative of -n**4/3 - 4*n**3/3 - 2*n**2 + 4*n. Factor b(j).
-4*(j + 1)**2
Let q(w) be the third derivative of 0*w - 7*w**2 + 1/15*w**5 + 2*w**3 + 0 - 1/30*w**6 + 5/6*w**4. Suppose q(i) = 0. What is i?
-1, 3
Suppose -5*n = 6 - 16. Let r(a) be the third derivative of 1/60*a**5 - 3*a**n + 0 + 1/24*a**4 - 1/3*a**3 + 0*a. What is i in r(i) = 0?
-2, 1
Factor -15*j - 20*j**4 + 10*j**2 - 10*j + 10 + 5*j**5 + 25*j**3 - 5*j**3.
5*(j - 2)*(j - 1)**3*(j + 1)
Let p = -532 - -2663/5. Factor -18/5*r - 27/5 - p*r**2.
-3*(r + 3)**2/5
Let y(a) be the first derivative of 4*a**3/3 - 20*a**2 + 100*a + 14. Factor y(b).
4*(b - 5)**2
Factor 2/19 + 0*m - 2/19*m**2.
-2*(m - 1)*(m + 1)/19
Let b(n) = -n - 19. Let o be b(-19). Determine l, given that -1/5*l**3 + o*l + 0 - 1/5*l**2 = 0.
-1, 0
Let h be (-5 + 4)/(1 - 0). Let c be (10/(-25))/(h/5). Factor 4 + 2*q**3 - 2 - q + 7*q + 6*q**c.
2*(q + 1)**3
Let w(i) be the second derivative of -i**7/840 + i**6/240 - i**4/4 + 3*i. Let a(j) be the third derivative of w(j). Suppose a(t) = 0. What is t?
0, 1
Let a = 12 + -2. Suppose -5*w = -3*x + a + 3, 5*w + 10 = 0. Let 0*q**2 + 5*q + x - q**3 - 4*q - q**2 = 0. What is q?
-1, 1
Suppose -2*l - 2 = -3*h, 0*l = 2*l + 2*h - 8. Suppose -2 = -l*o + 2. Factor -3 + o + 2*p**2 - p**2.
(p - 1)*(p + 1)
Suppose 15 - 21*j + 12*j**2 + 5*j**3 - 7*j**2 - 4*j = 0. What is j?
-3, 1
Factor 2*n**2 - 2*n**2 - 15*n**2 - 5*n**3 - 10*n.
-5*n*(n + 1)*(n + 2)
Let f(u) = u**3 + 7*u**2 + 5*u - 4. Let n be f(-6). Let z be 24/14 + n/7. Let -2*w**z + 2*w**4 + 0 + 0 + 0*w**2 = 0. Calculate w.
-1, 0, 1
Factor 6*x**3 + 32*x**4 + 10*x**3 + x**2 - x**2 + 12*x**5.
4*x**3*(x + 2)*(3*x + 2)
Suppose -9 = -5*q + u, 0 = -5*u + 3 + 2. Factor -2*s**2 + q*s**3 + 2*s**2 - 3*s + 3*s**2 - 3*s**4 + s**3.
-3*s*(s - 1)**2*(s + 1)
Let l(n) be the first derivative of -3 - 1/3*n**3 + 0*n - 3/2*n**2. Let l(j) = 0. What is j?
-3, 0
Let i(h) = h**3 - 4*h**2 - h + 4. Let l be i(4). Suppose -4*u - q + 5 = -6, l = 5*q - 15. Determine a so that -1/2 - 3/2*a - 3/2*a**u - 1/2*a**3 = 0.
-1
Let i(j) be the second derivative of -j**6/60 + j**5/20 - j**4/24 - 13*j. Factor i(o).
-o**2*(o - 1)**2/2
Let w be 3 + 58*(-1)/20. Let i(s) be the first derivative of -1/8*s**4 + 1/4*s**2 - s - w*s**5 + 1/2*s**3 + 2. Solve i(v) = 0 for v.
-2, -1, 1
Let t(n) be the third derivative of -4*n**7/315 - n**6/36 - n**5/90 + 6*n**2. Solve t(k) = 0 for k.
-1, -1/4, 0
Suppose 2*o + 0*o = 4. Factor -5 + 2*m + 3 - 8*m - 6*m**2 - o*m**3.
-2*(m + 1)**3
What is v in 3/4*v**4 - 15/4*v**3 + 3/4*v**2 + 63/4*v - 27/2 = 0?
-2, 1, 3
Suppose -5*n + 3*t = -1, 0 = 3*t - 4 - 5. Let f be n - -1*(-4)/3. Factor 8/3*z**3 - 6*z**2 + 4*z - f.
2*(z - 1)**2*(4*z - 1)/3
Factor -9 - 27 + 5*f**3 + 31*f + 17*f + 21*f - 34*f**2.
(f - 3)**2*(5*f - 4)
Let t(w) be the second derivative of 0 + 0*w**3 - 4*w + 1/5*w**5 + 0*w**2 + 1/14*w**7 - 31/150*w**6 - 1/15*w**4. Suppose t(p) = 0. What is p?
0, 2/5, 2/3, 1
Let a(j) = -j**3 - 3*j**2 + 8*j - 5. Let g be a(-5). Factor 2*f**2 - 9/2*f**g + 21/2*f**4 - 8*f**3 + 0 + 0*f.
-f**2*(f - 1)*(3*f - 2)**2/2
Let v(p) = 11*p**3 + 60*p**2 - 9*p + 9. Let f(a) = -3*a**3 - 15*a**2 + 2*a - 2. Let r(c) = 9*f(c) + 2*v(c). Determine j, given that r(j) = 0.
-3, 0
Solve 0*b + 2/3*b**2 + 1/3*b**3 + 0 - 2/3*b**4 - 1/3*b**5 = 0 for b.
-2, -1, 0, 1
Let j(r) be the first derivative of r**4/10 + 2*r**3/5 + 3*r**2/5 + 2*r/5 - 16. Determine v so that j(v) = 0.
-1
Suppose 0 = -3*c + 6. Factor -2 + 2*l**c + 2*l**2 - 6*l**2 + 4*l.
-2*(l - 1)**2
Let q = -3 + 5. Factor -2*c**3 + c**3 + 3*c**2 - 2*c**2 - 4*c**q - 2*c.
-c*(c + 1)*(c + 2)
Let c be (-1 - 45)*9/(-135) + -3. Let v(o) be the second derivative of 0*o**5 + 0*o**3 + 3*o - c*o**6 - o**2 + 1/3*o**4 + 0. Factor v(g).
-2*(g - 1)**2*(g + 1)**2
Let i be (1/2)/((-2)/24). Let m be -1*-6*i/(-9). Factor -12*j**2 + 4*j**3 + m + 12*j - 6*j**2 + 3*j**2.
(j - 2)**2*(4*j + 1)
Let f be (-6)/(3/6*-3). Let x be ((-3)/(-15))/(2/f). Find t such that 2/5*t**2 + 0 + 0*t - x*t**3 = 0.
0, 1
Let s(c) be the first derivative of 1/14*c**4 + 0*c - 1/7*c**2 + 0*c**3 - 3. Find j such that s(j) = 0.
-1, 0, 1
Let o = -110/113 + -25211/452. Let x = 57 + o. Find y such that 0*y**3 - x*y**4 + 0*y**2 + 0*y + 0 = 0.
0
Let a(i) be the second derivative of i**7/126 - i**6/45 - i**5/20 + 45*i. Factor a(v).
v**3*(v - 3)*(v + 1)/3
Suppose 2*h = -2*z, z + 3*h + 3 = h. Factor -3/2*t**2 - 9/4*t + 3/2*t**z + 9/4*t**4 + 3/4*t**5 - 3/4.
3*(t - 1)*(t + 1)**4/4
Let x(d) be the second derivative of -d + 0 - 1/48*d**4 + 1/4*d**3 - 9/8*d**2. Solve x(f) = 0 for f.
3
Let w(u) = u**3 + 7*u**2 - 7*u - 1. Let i(d) = -d**3 - 6*d**2 + 6*d + 1. Let h = -12 + 6. Let f(j) = h*i(j) - 5*w(j). Factor f(v).
(v - 1)*(v + 1)**2
Factor 5*r**3 - 10*r**2 + 16*r**4 - 11*r**4 + 0*r**3.
5*r**2*(r - 1)*(r + 2)
Find o, given that 2/15*o - 2/15*o**2 + 0 = 0.
0, 1
Let b(j) be the third derivative of 125*j**8/224 - 5*j**7/2 + 9*j**6/2 - 81*j**5/20 + 27*j**4/16 - 3*j**2. Suppose b(k) = 0. What is k?
0, 3/5, 1
Let t = -2/4491 + 209582/4491. Let z = -46 + t. Let z*f**2 + 0 + 2/9*f**3 + 4/9*f = 0. What is f?
-2, -1, 0
Suppose -t = 2*w + 1, -6*t - 5*w - 5 = -t. Let z be 1/1*-1 - t. Suppose z - 2/7*b**4 + 0*b**3 + 0*b + 2/7*b**2 = 0. Calculate b.
-1, 0, 1
Let u be (-10)/35 - (-44)/7. Suppose 3*p + u = -s - 4, 12 = -2*s - 4*p. Factor 3*h**2 - h**2 + h**5 - 3*h**4 + s*h**3 - 5*h + 1 + 2*h.
(h - 1)**4*(h + 1)
Suppose -4 - 4*w - 6*w**2 - 12*w + 3 - 7 = 0. Calculate w.
-2, -2/3
Let s be (3 + -2)/(36/(-136)). Let o = 206/45 + s. Find n such that o*n**2 - 4/5 - 2*n + 2*n**3 = 0.
-1, -2/5, 1
Let s(a) = 6*a**3 - 47*a**2 + 85*a - 49. Let n(z) = -3*z**3 + 23*z**2 - 43*z + 25. Let y(d) = 5*n(d) + 2*s(d). Find t, given that y(t) = 0.
1, 3
Let v = -247/3 + 83. Determine h so that -v*h + 2*h**2 + 2/3*h**4 - 2*h**3 + 0 = 0.
0, 1
Let o = 5035/6 - 837. Find s, given that -2/3 + s**3 - o*s**2 - 1/6*s**4 + 2*s = 0.
1, 2
Suppose -3*g + 0*g = -5*g. Let y(c) be the third derivative of g*c**6 + c**2 + 0*c**4 - 1/105*c**7 + 1/30*c**5 + 0*c + 0*c**3 + 0. Factor y(n).
-2*n**2*(n - 1)*(n + 1)
Let g(r) = -r**3 - 2*r**2 - 3*r - 4. Let s be g(-2). Suppose 0 = 2*v - v - s. Factor -5/4*q + q**v + 1/4.
(q - 1)*(4*q - 1)/4
Suppose -8*q**2 - 3*q**4 + 1/2*q**5 + 9/2*q + 7*q**3 - 1 = 0. What is q?
1, 2
Let v(x) = x**2 - 50*x + 190. Let g(t) = t**2 - 101*t + 379. Let u(l) = -2*g(l) + 5*v(l). Factor u(p).
3*(p - 8)**2
Let b = 4931/5 + -986. Solve -2/5*i**2 + 1/5*i**4 - 1/5*i - b*i**5 + 1/5 + 2/5*i**3 = 0.
-1, 1
Let p(x) be the first derivative of -2*x**3/3 - 3*x**2 - 4*x + 15. Determine l so that p(l) = 0.
-2, -1
Let k(h) be the third derivative of h**5/270 - h**4/54 + h**2. Factor k(c).
2*c*(c - 2)/9
Let x(c) be the first derivative of 0*c**3 - 1/24*c**4 + 2 + 1/60*c**5 + 0*c + c**2. Let h(r) be the second derivative of x(r). Factor h(o).
o*(o - 1)
Let 50*x**5 + x - 15*x**4 + 48*x**3 - 71*x**5 - x - 12*x**2 = 0. Calculate x.
-2, 0, 2/7, 1
Let d be (-6)/6*-7 - 5. Solve 0 + 0*s - 1/2*s**4 - d*s**2 + 2*s**3 = 0 for s.
0, 2
Suppose 0 = -5*x + 10, -2*n - 4*x + 8 = 2*n. Suppose 2*o = o - 5, n = 5*a - o - 25. Factor -11*r - r**a + r**2 + 11*r.
-r**2*(r - 1)*(r + 1)
Let j be 35/10 + -4 - -1. Let g(y) be the first derivative of j*y**2 - y + 4 - 1/12*y**3. Factor g(u).
-(u - 2)**2/4
Factor -128*c**2 + 199*c**2 - 4*c**3 - 64 