 -15 = 3*z - 0*i - 3*i, 5*i = -z + 25. Determine q, given that q**3 + z*q**3 + q**5 - q**5 - q**5 = 0.
-1, 0, 1
Let t(y) be the second derivative of y**6/150 - y**5/100 - y. Determine o so that t(o) = 0.
0, 1
Let j be (-36)/63 + (-46)/(-56). Factor j*b**2 - 1/2*b + 1/4.
(b - 1)**2/4
Let c = -7/167 + 188/501. Let -c*g + 0 - 1/3*g**2 = 0. What is g?
-1, 0
Let r be (-18)/(-24)*2/(-93). Let y = 127/186 + r. Let 4/3*j**4 - 2*j**2 - y*j**3 + 2/3 + 2/3*j = 0. Calculate j.
-1, -1/2, 1
Determine b, given that 1/7*b + 1/7*b**2 - 1/7*b**3 + 0 - 1/7*b**4 = 0.
-1, 0, 1
Let b(h) = -6*h**4 - 2*h**2 + 2. Let r(j) = j**5 - j**4 + j**3 - j**2 + 1. Let v be -6*3/6 - -5. Let m(d) = v*r(d) - b(d). Factor m(z).
2*z**3*(z + 1)**2
Let s(g) be the third derivative of 0 - g**2 - 1/3*g**3 - 1/30*g**5 + 1/6*g**4 + 0*g. Factor s(u).
-2*(u - 1)**2
Suppose -3*d = d - 8. Factor -u**3 - d - 4*u**2 - 12*u - 10*u + 17*u.
-(u + 1)**2*(u + 2)
Let z(f) be the second derivative of 1/6*f**3 - 1/20*f**5 + 5*f + 0 + 0*f**4 + 0*f**2. Factor z(p).
-p*(p - 1)*(p + 1)
What is s in 3/4*s**3 + 0 + 1/4*s**4 - 5/4*s**2 - 1/4*s**5 + 1/2*s = 0?
-2, 0, 1
Let o(w) be the third derivative of 3*w**2 + 1/3*w**3 - 1/30*w**5 - 1/120*w**6 + 1/24*w**4 + 0*w + 0. Let o(t) = 0. Calculate t.
-2, -1, 1
Suppose -30/17*j + 16/17 + 2/17*j**3 + 12/17*j**2 = 0. Calculate j.
-8, 1
Let g = -4 - 3. Let u = g + 11. Let -1/4*j**u + 3/4*j**5 + 0 + 1/2*j - 5/4*j**3 + 1/4*j**2 = 0. Calculate j.
-1, -2/3, 0, 1
Let b(n) be the third derivative of n**9/2880 - n**8/3360 - n**7/240 + n**6/120 - n**5/20 + 5*n**2. Let w(h) be the third derivative of b(h). Factor w(j).
3*(j - 1)*(j + 1)*(7*j - 2)
Let l(b) be the third derivative of -b**7/315 - 2*b**6/45 - b**5/5 + 3*b**3 + 9*b**2. What is n in l(n) = 0?
-3, 1
Let k be (-22)/(-5) + 28/(-70). Let s be (10 - 0)*4/8. Let 2*g**3 - 2*g**5 - g**5 - 4*g**k + 5*g**s = 0. What is g?
0, 1
Let m = 1 + 1. Factor -2*t + 5*t**3 - 5*t**2 + 5*t**3 - 22*t**4 + 8*t**3 + 8*t**5 + 3*t**m.
2*t*(t - 1)**3*(4*t + 1)
Let t(r) = r**2 - 2*r + 5. Let q(a) = a - 1. Let v(u) = 12*q(u) + 3*t(u). Factor v(l).
3*(l + 1)**2
Suppose 3*x - 29 = -5*y, 0 = -4*x - y - 0*y + 16. Let o be x + 5/10*2. Factor 4/5 + 18/5*l + 6/5*l**3 + o*l**2.
2*(l + 1)*(l + 2)*(3*l + 1)/5
Let b = 1526 + -1524. Factor -2*r + 2*r**b + 1/2.
(2*r - 1)**2/2
Let r(i) = i**2 - 10*i + 2. Let h be r(10). Suppose -x = -1 - h. Find m, given that -m**2 + 4 + m + 0 - 2*m**3 + m**3 - x = 0.
-1, 1
Factor 13*f**3 + 16*f**3 + 8*f - f**3 - 32*f**2 - 2*f**3 - 6*f**4.
-2*f*(f - 2)**2*(3*f - 1)
Let n(z) = -z**5 + z**2 - z. Let s(q) = -q**5 - q**4 - 5*q**3 + 3*q**2 + 6*q + 4. Let r(y) = -6*n(y) + 3*s(y). Factor r(u).
3*(u - 2)**2*(u + 1)**3
Let s = -2/61 + 79/549. Let l(d) be the second derivative of 0*d**2 - 1/30*d**5 + s*d**3 - 1/18*d**4 + 1/45*d**6 + 2*d + 0. Factor l(o).
2*o*(o - 1)**2*(o + 1)/3
Let j(m) be the third derivative of m**5/15 + 7*m**4/3 + 98*m**3/3 + 5*m**2. Factor j(d).
4*(d + 7)**2
Suppose -3 = -5*q + 2. Let g be -1*q - (-1 + -4). What is x in 4/9*x**2 + 4/9*x**3 - 2/3*x**g + 2/9 + 2/9*x**5 - 2/3*x = 0?
-1, 1
Let r(f) be the third derivative of 0*f + 2/525*f**7 + 0 + 1/150*f**6 + 2*f**2 - 2/75*f**5 - 1/60*f**4 - 1/840*f**8 + 2/15*f**3. Determine q so that r(q) = 0.
-1, 1, 2
Suppose -35 = -11*l - 13. Factor -9/5 - 1/5*r**l - 6/5*r.
-(r + 3)**2/5
Let x(b) = -b**4 - b**3 - b**2 + b - 1. Let t(p) = -25*p**5 + 34*p**4 + 15*p**3 - 8*p**2 - 8*p + 4. Let n(g) = t(g) + 4*x(g). Factor n(h).
-h*(h - 1)**2*(5*h + 2)**2
Suppose 7 = 5*i - 8. Let u(k) be the first derivative of 1/3*k**i - 2 + 0*k - 1/2*k**2. Find v, given that u(v) = 0.
0, 1
Let o(f) be the second derivative of f**4/15 - 2*f**3/15 - 12*f**2/5 + 21*f. What is a in o(a) = 0?
-2, 3
Let c(h) = 6*h**2 - 2*h - 4. Let b(p) = p**2 + p. Let x(g) = 5*g**2 - 10*g - 8. Let v(k) = -6*b(k) - x(k). Let d(z) = 7*c(z) + 4*v(z). Factor d(n).
-2*(n - 2)*(n + 1)
Let f(h) be the first derivative of -2*h**3/21 - 2*h**2/7 + 49. Determine q, given that f(q) = 0.
-2, 0
Let y = -8 + 11. Suppose -y*h + 6 = 4*j, 0*j - h = 4*j - 2. Factor 0 + j*g - 2/3*g**2.
-2*g**2/3
Let t(w) = -w**3 + 4*w**2 - 3*w. Let j be t(2). Let y be 2 + -1 + (-4)/8. Find n, given that 0 - y*n - 1/2*n**j = 0.
-1, 0
Solve 4/3 - 4/3*f**2 + 0*f = 0.
-1, 1
Let w(b) be the third derivative of 8*b**2 - 1/2*b**3 - 3/10*b**5 - 1/70*b**7 + 0*b + 0 - 1/2*b**4 - 1/10*b**6. Determine r, given that w(r) = 0.
-1
Let z be 700/42 - (-4)/(-6). Suppose -7*u - z = -11*u. Solve 7/5*r + 2/5 - 4/5*r**2 + 7/5*r**5 - 14/5*r**3 + 2/5*r**u = 0 for r.
-1, -2/7, 1
Let l = -1459/10 - -146. Let q(b) be the second derivative of b**4 + 8*b**2 + 0 - l*b**5 + b - 4*b**3. Suppose q(x) = 0. What is x?
2
Let t(c) be the third derivative of 0 - 1/6*c**3 - 4*c**2 + 1/60*c**5 + 1/16*c**4 + 0*c. Factor t(x).
(x + 2)*(2*x - 1)/2
Let b = 3/19 - -10/57. Factor 0 + 2/3*x - b*x**2 - 1/3*x**3.
-x*(x - 1)*(x + 2)/3
Factor 0*b + 0 + 2/7*b**3 - 4/7*b**2.
2*b**2*(b - 2)/7
Suppose -1/7*c - 1/7*c**3 + 0 + 2/7*c**2 = 0. Calculate c.
0, 1
Let d = 1 - -1. Factor -f**2 + f**2 + 4*f**d - 2*f**3 - 2*f.
-2*f*(f - 1)**2
Factor m**3 + 10*m + 3 + 3*m**3 + 2*m**3 + m**4 + 12*m**2 + 0*m**3.
(m + 1)**3*(m + 3)
Let i(t) be the third derivative of 0*t**3 + 1/40*t**6 + 0*t**4 + 0 + 0*t**5 + 0*t + 4*t**2. Factor i(l).
3*l**3
Let n(i) be the third derivative of i**5/150 - i**4/120 - 11*i**2. What is f in n(f) = 0?
0, 1/2
Suppose -1 - 7*a + 4 - 5*a**3 - a**4 - 4 - 9*a**2 - 1 = 0. Calculate a.
-2, -1
Factor 43*t**2 - 43*t**2 - 5*t**3.
-5*t**3
Let r(o) be the second derivative of o**7/273 - 3*o**5/130 - o**4/39 + 3*o. Factor r(n).
2*n**2*(n - 2)*(n + 1)**2/13
Let m(h) = 3*h**2 + 5. Let g(o) = -19*o**2 - 30. Let w(z) = 6*g(z) + 39*m(z). Let n(i) = -4*i**2 + i - 16. Let y(v) = -6*n(v) - 7*w(v). Factor y(r).
3*(r - 3)*(r + 1)
Let y(i) be the first derivative of 0*i**2 - 4 - 8/7*i + 2/7*i**3 + 1/14*i**4. Factor y(t).
2*(t - 1)*(t + 2)**2/7
Suppose p - 2 - 2 = 0, 5*p = 3*q + 23. Let c be 2/6 - (q + 0). Factor -c - 8/3*h - h**2.
-(h + 2)*(3*h + 2)/3
Let v = 485 - 969/2. Factor 3/2*k**3 - v*k**4 + 1/2*k - 3/2*k**2 + 0.
-k*(k - 1)**3/2
Factor 7*t + 53/4*t**2 + 5*t**3 + 1.
(t + 2)*(4*t + 1)*(5*t + 2)/4
Suppose -5*w - 7 = 4*l, 2*l - 3*w + w = 10. Let -6*i - 7*i**l + 0*i - 2*i**2 - 2*i**3 - i**3 = 0. What is i?
-2, -1, 0
Let j(k) = -5*k**4 - 12*k**3 - 15*k**2 - 8*k. Let h(z) = 35*z**4 + 85*z**3 + 105*z**2 + 55*z. Let g(y) = 3*h(y) + 20*j(y). Find p, given that g(p) = 0.
-1, 0
Let r(m) be the second derivative of -1/12*m**2 + 0 - 1/36*m**4 + 1/60*m**6 - 1/12*m**3 + 1/60*m**5 + 1/252*m**7 + 7*m. Let r(s) = 0. What is s?
-1, 1
Suppose -d + 8 - 6 = 0. Suppose -d*h - 4*n - 8 = 0, 5*h - h + 4 = -4*n. Determine l so that 0 - 2/9*l**h - 2/9*l = 0.
-1, 0
Suppose 0*o + 4 = 2*o. What is y in -8*y + 5*y**o + 7*y**3 + 1 + 9*y + 3*y**4 - 1 = 0?
-1, -1/3, 0
Let v(g) be the third derivative of -g**5/10 - g**4/8 + g**3/2 + 6*g**2. Factor v(l).
-3*(l + 1)*(2*l - 1)
Factor -54 - 384*h**2 + 180*h**2 + 2*h**3 + 54*h + 186*h**2.
2*(h - 3)**3
Let m(k) be the third derivative of 1/21*k**3 + 0*k - 1/42*k**4 + 1/210*k**5 - k**2 + 0. Solve m(j) = 0.
1
Let z be ((-1)/(-9))/(1/6). Suppose 0 + 2/3*g**4 + 0*g**3 + 1/3*g**5 - z*g**2 - 1/3*g = 0. What is g?
-1, 0, 1
Let a(w) be the first derivative of 5/12*w**3 - w**2 + 2 - 1/16*w**4 + w. Find k such that a(k) = 0.
1, 2
Let m(c) = -2*c + 8. Let r be m(-5). Factor -r*a**2 - 2*a**2 - a**2 + 6 + 15*a + 0.
-3*(a - 1)*(7*a + 2)
Let f = -1/15 - -7/15. Factor 0*b**3 + 2/5*b**5 + 0*b**2 + 0 + 0*b + f*b**4.
2*b**4*(b + 1)/5
What is i in -35/3*i**2 + 80/3 - 5/3*i**3 - 40/3*i = 0?
-4, 1
Let n(o) = 20*o**4 - 4*o**3 - 4*o**2. Let m(d) be the first derivative of 21*d**5/5 - 3*d**4/4 - 4*d**3/3 + 4. Let i(c) = -6*m(c) + 7*n(c). Factor i(z).
2*z**2*(z - 1)*(7*z + 2)
Let x(b) = -9*b**3 + 41*b**2 - 65*b + 18. Let g(o) = -5*o**3 + 21*o**2 - 33*o + 8. Let a(d) = -5*g(d) + 3*x(d). Find u, given that a(u) = 0.
1, 7
Let o(h) be the second derivative of -h**6/180 - h**5/60 - h**4/72 - 8*h. Find b, given that o(b) = 0.
-1, 0
Let r = 3 - 3. Let f = 5 - r. Factor -f*n**2 + 6*n**2 - n**3 + n**5 + n - n - n**4.
n**2*(n - 1)**2*(n + 1)
Suppose 5*m - 3 = 2. Let b be (5*2)/(m + 1). Let -2*l**3 - 10/9*l**b + 4/9*l + 2/9*l**2 + 0 - 26/9