2 + 6*r. Find w, given that z(w) = 0.
2
Let z(t) be the second derivative of t**7/147 - t**6/105 - t**5/35 + t**4/21 + t**3/21 - t**2/7 - 19*t - 1. Factor z(a).
2*(a - 1)**3*(a + 1)**2/7
Let d(z) = -2*z**2 + 11*z. Let g(p) = p**2 - 5*p. Let x(a) = 4*d(a) + 7*g(a). Let f be x(9). Factor 2/3*b**3 + f + 0*b + 0*b**2.
2*b**3/3
Let x = 50971/15 - 3400. Let m = 7/3 + x. Factor 2/5*o - 8/5*o**2 - 8/5*o**4 + 0 + 12/5*o**3 + m*o**5.
2*o*(o - 1)**4/5
Let w(s) = -4*s - 56. Let q be w(-14). Factor 1/3*z + q - 1/3*z**2.
-z*(z - 1)/3
Let w(a) be the first derivative of 2*a**3 - 4*a**2 + 2*a + 1. Find v, given that w(v) = 0.
1/3, 1
Let s = -9 + 12. Let r(g) = -2*g**2 + 11*g - 8. Let c(f) = 5 + 10*f + 0*f**2 - 13 - 2*f**2. Let y(i) = s*c(i) - 2*r(i). Factor y(a).
-2*(a - 2)**2
Let n be (0 - 0) + (-5)/(-1). Suppose 10 = n*b - 3*q, -2*q + 9 + 1 = 0. Suppose -w**b - 4*w**5 + 2 - 4*w**2 - 2*w**5 + 14*w**3 + 2*w**4 - 7*w = 0. What is w?
-1, 2/7, 1
Let j = 76 + -74. Factor -2/7*l**3 - 2/7*l + 0 + 4/7*l**j.
-2*l*(l - 1)**2/7
Let u(a) be the first derivative of 3*a**4/4 - 2*a**3 - 6*a**2 + 24*a - 7. Factor u(z).
3*(z - 2)**2*(z + 2)
Let u be ((-8)/14)/((-5)/35). Suppose i - 22 = -5*n, -n = -0 - u. What is a in -3*a + i*a**4 - 14/3*a**3 + 2/3 - 1/3*a**5 + 16/3*a**2 = 0?
1, 2
Suppose -v + 6*v - 60 = 0. Factor 16*i**2 - v*i**2 - 2*i**4 - 3 + 1 + 2*i + 2*i**5 - 4*i**3.
2*(i - 1)**3*(i + 1)**2
Let r(q) be the first derivative of -3*q**4/4 - 6*q**3 - 18*q**2 - 24*q + 7. Factor r(v).
-3*(v + 2)**3
Factor -2/5*h + 0 - 2*h**3 - 9/5*h**2 - 3/5*h**4.
-h*(h + 1)*(h + 2)*(3*h + 1)/5
Let y(f) be the third derivative of -4/35*f**7 + 0*f - 3/10*f**6 + 0*f**3 + 6*f**2 + 0*f**4 - 1/84*f**8 + 0 + 0*f**5. Factor y(o).
-4*o**3*(o + 3)**2
Let f be (88/3)/8 - (-3)/(-1). Factor 2/3*d**4 + 0*d**3 + 0*d - f*d**2 + 0.
2*d**2*(d - 1)*(d + 1)/3
Let q(x) be the second derivative of x**6/6 + x**5/10 - 5*x**4/12 - x**3/3 - x. Factor q(y).
y*(y - 1)*(y + 1)*(5*y + 2)
Let r be (-4)/18 + (-76)/(-18). Let g - g**2 - 2*g**2 + r*g**2 = 0. What is g?
-1, 0
Factor -2*q - 4*q**4 + 0*q**4 + 12*q**2 - 8*q**2 + 2*q**5.
2*q*(q - 1)**3*(q + 1)
Let j(q) be the first derivative of 0*q**2 - 1/80*q**5 + 1/180*q**6 - 1/48*q**4 + 0*q + 1/3*q**3 - 1. Let d(v) be the third derivative of j(v). Factor d(w).
(w - 1)*(4*w + 1)/2
Let w be (-4)/(-3)*(-18)/42. Let m = w - -12/7. Solve 16/7*f + 2/7*f**3 - m - 10/7*f**2 = 0.
1, 2
Factor 0*p**3 + 0 - 3/4*p**2 + 1/4*p**4 - 1/2*p.
p*(p - 2)*(p + 1)**2/4
Let w be 1/2*-2 - 0. Let a be (2 + (-10)/4)*w. Find y such that -a*y**3 - y**4 + 1/2*y + 0 + y**2 = 0.
-1, -1/2, 0, 1
Let k(m) be the second derivative of m**4/12 + 2*m**3/3 + 3*m**2/2 + 8*m. Factor k(y).
(y + 1)*(y + 3)
Suppose 0 = -4*n - 2 + 14. Determine o, given that -4*o**2 + 14*o - 1 + n*o**2 - 12*o = 0.
1
Suppose 0 = -2*k + 6 - 2. Let a(c) be the second derivative of -2*c - 1/2*c**k + 0 - 1/20*c**5 - 1/2*c**3 - 1/4*c**4. Find g such that a(g) = 0.
-1
Let r(g) be the third derivative of g**7/1365 + g**6/780 - g**5/130 - g**4/156 + 2*g**3/39 - 7*g**2. Suppose r(u) = 0. Calculate u.
-2, -1, 1
Suppose -768/7 + 96/7*l - 3/7*l**2 = 0. What is l?
16
Let r(s) be the third derivative of -s**6/360 - s**3/2 - s**2. Let f(v) be the first derivative of r(v). Suppose f(l) = 0. What is l?
0
Find r, given that -2/7 + 2/7*r**3 - 6/7*r**2 + 6/7*r = 0.
1
Solve 0*n**3 - 4/3*n**4 + 0*n + 0*n**2 + 0 = 0 for n.
0
Let s = -5 - -3. Let j = s + 6. Find m such that -6*m**3 - 15*m**2 + 17*m**2 - 2*m**5 + 7*m**4 - m**j = 0.
0, 1
Let t = 29 + -27. Factor -2 + z + 2*z + 44*z**t - 42*z**2.
(z + 2)*(2*z - 1)
Let y(r) be the first derivative of -2/3*r**3 - 2*r**2 - 3 - 2*r. Factor y(a).
-2*(a + 1)**2
Factor -6/5*m**2 + 63/5*m**4 + 0*m - 3/5*m**3 + 0.
3*m**2*(3*m - 1)*(7*m + 2)/5
Suppose 4*c - 5*a - 47 = 0, -6*a + 4 = -2*a. Suppose 4*s**2 + 6*s**2 - c*s**2 = 0. Calculate s.
0
Let f(c) be the first derivative of c**6/18 + c**5/3 + 2*c**4/3 + 4*c**3/9 - 1. Suppose f(w) = 0. What is w?
-2, -1, 0
Factor -n**3 - n**3 + 56*n**4 + n**5 + n - 56*n**4.
n*(n - 1)**2*(n + 1)**2
Suppose 0 = j - 0 + 1. Let a be (5/(-20))/(j/8). Factor h**a - h**2 + h**2.
h**2
Let m(w) = 4*w**2 + 2*w - 3. Let c(s) = 4*s**2 + s - 2. Let a(p) = -3*c(p) + 2*m(p). Factor a(x).
-x*(4*x - 1)
Let x(i) = -1 + 0 + 2*i - 1. Let z be x(1). Factor 0*l + 3/4*l**2 + z.
3*l**2/4
Find d, given that 4*d**2 + 5*d**5 + 0*d + 12*d**4 - d**5 + 12*d**3 + 0*d = 0.
-1, 0
Suppose -i - 30 = -7*i. Let b(l) be the first derivative of 2 + 0*l - 2/15*l**i + 1/12*l**4 + 1/18*l**6 + 0*l**3 + 0*l**2. Factor b(w).
w**3*(w - 1)**2/3
Let s(l) be the first derivative of l**7/4200 - l**3 - 2. Let b(q) be the third derivative of s(q). Determine m so that b(m) = 0.
0
Factor 31*u**2 + 34*u**2 + 115*u + 5*u**3 + 1606 - 1551.
5*(u + 1)**2*(u + 11)
Suppose 0 = -5*l + 11 + 9. Suppose 12 = 5*b + 2. Factor -2*t**b - t**2 + 0*t + l*t**2 + t.
t*(t + 1)
Let o(b) be the first derivative of b**6/24 + b**5/20 - 3*b**4/16 - 5*b**3/12 - b**2/4 - 4. Determine n so that o(n) = 0.
-1, 0, 2
Let f(s) = 27*s**5 - 36*s**4 - 3*s**3 + 36*s**2 - 24*s. Let i(u) = -7*u**5 + 9*u**4 + u**3 - 9*u**2 + 6*u. Let j(r) = 4*f(r) + 15*i(r). Factor j(x).
3*x*(x - 2)*(x - 1)**2*(x + 1)
Factor -25/4*p**3 - 1/4*p**5 - 19/2*p**2 - 2 - 7*p - 2*p**4.
-(p + 1)**2*(p + 2)**3/4
Suppose 28 = -22*w + 36*w. Solve 8/3*p - 1/3 - 16/3*p**w = 0 for p.
1/4
Let b(k) be the first derivative of -k**3/4 - k**2 - k + 8. Solve b(d) = 0 for d.
-2, -2/3
Determine h so that -2*h**4 - 2*h**5 + 7*h + 2 - 2*h**5 + 2*h**3 + 8*h**2 + 3*h**5 = 0.
-1, 2
Let i = 1228 - 18412/15. Suppose -8/15*y - 4/15*y**3 + 2/3*y**4 - 2*y**2 + i = 0. What is y?
-1, 2/5, 2
Let w(m) be the third derivative of -m**8/28 + 2*m**7/15 - 4*m**5/15 + 19*m**2. Suppose w(i) = 0. What is i?
-2/3, 0, 1, 2
Find h such that -3*h**2 - 6 + 15*h - 12*h - 12*h = 0.
-2, -1
Suppose j - 6*j = 15. Let s be (-4)/4*j/6. Suppose s + 0*h - 1/2*h**2 = 0. Calculate h.
-1, 1
Factor -8 + 0*j**2 + 4*j**2 + 2*j**3 + 2*j**2.
2*(j - 1)*(j + 2)**2
Let t(s) be the first derivative of s**4/16 - 7*s**3/12 + 15*s**2/8 - 9*s/4 + 22. Factor t(k).
(k - 3)**2*(k - 1)/4
Suppose -36/5 - 1/5*s**2 + 12/5*s = 0. Calculate s.
6
Let g = 76/23 + -7957/2415. Let f(w) be the third derivative of 0*w - 2*w**2 - g*w**7 + 0*w**6 + 1/10*w**5 + 0 + 0*w**3 + 1/6*w**4. Let f(u) = 0. What is u?
-1, 0, 2
Let w(a) be the second derivative of a**6/135 - a**4/27 + a**2/9 + 8*a. Factor w(s).
2*(s - 1)**2*(s + 1)**2/9
Let w(g) be the first derivative of g**6/45 - g**4/30 + 32. Factor w(v).
2*v**3*(v - 1)*(v + 1)/15
Let w be (-1)/(-2) - 18/(-4). Let x = w - 1. Factor -2 + x + u**2 - 2 - u**3.
-u**2*(u - 1)
Let n(g) be the third derivative of -4*g**7/105 - g**6/10 + 2*g**5/5 + 13*g**4/6 + 4*g**3 - 2*g**2 + 18*g. What is k in n(k) = 0?
-3/2, -1, 2
Let j(t) = -t**3 + 3*t**2 + 7*t - 12. Let k be j(4). Let 0 + 2/11*g**2 + k*g = 0. Calculate g.
0
Factor 27/4*b**2 - 18*b - 3/4*b**3 + 15.
-3*(b - 5)*(b - 2)**2/4
Let w be 40/(-7) - (8 + -4 - 10). Factor -w*t**4 + 0*t - 2/7*t**3 + 2/7*t**2 + 2/7*t**5 + 0.
2*t**2*(t - 1)**2*(t + 1)/7
Let c be ((-12)/(-8))/(9/12). Factor -i**c - 5*i**2 + 5*i**2 + 2*i**2.
i**2
Let q(p) be the first derivative of 2*p**2 + p**3 + 2*p**2 + 2*p + 3 - 6 + p**3. Factor q(c).
2*(c + 1)*(3*c + 1)
Factor -7/2*k**4 - 25/2*k**2 + 19/2*k**3 + 1/2*k**5 + 8*k - 2.
(k - 2)**2*(k - 1)**3/2
Find a such that 4 - 2*a**2 - 3*a**3 + 2 + 2*a**2 + 3*a - 6*a**2 = 0.
-2, -1, 1
Let i = -12/5 - -46/15. Factor -i*u - 4/9 + 2/3*u**3 + 2/9*u**4 + 2/9*u**2.
2*(u - 1)*(u + 1)**2*(u + 2)/9
Let p be (-5)/2*1905/50. Let d = p - -96. Suppose -3/2*v**2 - 3/4*v - d*v**3 + 0 = 0. Calculate v.
-1, 0
Let x(g) = g**3 - 3*g + 1. Let r be x(2). Suppose 4*l = -5*m + 15, r*m = -l - 2*m. Factor -4*o**5 + 4*o**l + 2*o**5 - 2*o**3.
2*o**3*(o - 1)*(o + 1)
Factor 0 - 5/2*q + 5/4*q**2.
5*q*(q - 2)/4
Let z(t) = -3*t**4 + 9*t**5 - 6 - t**3 + 7*t**4 + 4*t**4 - 5*t + 1. Let i(x) = 4*x**5 + 4*x**4 - 2*x - 2. Let q(m) = 5*i(m) - 2*z(m). Factor q(o).
2*o**3*(o + 1)**2
Suppose 7 = -y + 3*s - 2, -5*s = -25. Let w = y - 4. Solve -2*f - f**2 - f**2 + 2*f**3 + w + 0*f**3 = 0.
-1, 1
Suppose -4*w + 4*q = -100, -5*q = 5*w - 4*q - 95. Let 4*x**3 + 6*x + 12*x**4 + 6*x**4 - 10*x**5 - 4 - w*x**2 + 6 = 0. Calculate x.
-1, -1/5, 