z - 2)
Factor -41*g**2 - 4*g**2 + 45*g + 10*g - 4 - 6.
-5*(g - 1)*(9*g - 2)
Let p(b) = -b**2 + 1. Let f(k) = 21*k**4 - 15*k**3 - 2*k**2 - 4. Let u(o) = o + 2. Let s be u(2). Let i(v) = s*p(v) + f(v). Factor i(j).
3*j**2*(j - 1)*(7*j + 2)
Let 1/3*f**3 - 4/3 - 4/3*f + 1/3*f**2 = 0. What is f?
-2, -1, 2
Let n be 2/(-4) - 213/(-6). Let z = 141/4 - n. Let -z - 1/4*b**4 - 1/4*b + 1/2*b**2 - 1/4*b**5 + 1/2*b**3 = 0. Calculate b.
-1, 1
Let h(i) be the third derivative of -2*i**2 + 0*i**4 - 1/42*i**7 + 13/480*i**6 + 0*i**3 - 1/120*i**5 + 0*i + 0. Determine r, given that h(r) = 0.
0, 1/4, 2/5
Let i(b) = -b**3 + 0*b**3 - 1 + 2 - 5*b + 6*b - b**2. Let w(k) = 4*k**3 + 5*k**2 - 4*k - 5. Let r(y) = 5*i(y) + w(y). What is o in r(o) = 0?
-1, 0, 1
Let l be 45/100 - (-1)/(-5) - 0. Let s(i) be the second derivative of 0 - 1/48*i**4 - 9/8*i**2 - 4*i + l*i**3. Find r, given that s(r) = 0.
3
Let d(n) be the first derivative of n**4/18 - 10*n**3/27 + 7*n**2/9 - 2*n/3 - 3. Solve d(s) = 0.
1, 3
Let h be ((-2)/12)/((-2)/8). Factor -h*d + 0*d**3 + 0 - 4/3*d**2 + 4/3*d**4 + 2/3*d**5.
2*d*(d - 1)*(d + 1)**3/3
Let b(w) be the third derivative of 11*w**5/15 + 7*w**4/6 - w**3/6 + w**2. Let h(x) = -4*x**2 - 6*x**2 + 9*x**2 - 1. Let y(r) = -b(r) + 5*h(r). Factor y(l).
-(7*l + 2)**2
Let v(n) be the first derivative of -n**4/24 - 4*n**3/3 - 12*n**2 - 52. Determine k, given that v(k) = 0.
-12, 0
Let l(s) be the second derivative of -s**7/2520 + s**5/120 - s**4/12 + 2*s. Let g(y) be the third derivative of l(y). Let g(w) = 0. Calculate w.
-1, 1
Let h be -3 + -10*2/(-4). Determine z, given that -3 - 30*z**h - 15*z**4 + 7*z + 30*z**3 - z**5 + 4*z**5 + 8*z = 0.
1
Suppose -14 = 4*n - 5*t - 43, n - 3*t - 9 = 0. Suppose -m + n = 2*m. Suppose m*x**5 + 4*x + 5 + 2*x**2 - 2*x**4 - 13 - 6*x**3 + 8 = 0. Calculate x.
-1, 0, 1, 2
Let v = -122 - -125. Factor 3/5*t**4 + 0 + 3/5*t + 9/5*t**2 + 9/5*t**v.
3*t*(t + 1)**3/5
Solve 15 + 10 + 3*a - 3*a**2 - 7 + 18 = 0.
-3, 4
Let l = 8 - 5. Suppose 0 = c - 0*f + 5*f + 4, -l*c - 2*f + 27 = 0. Factor 6*p**2 - 4*p + 3*p**4 - p**3 + c*p**4 + 25*p**3.
2*p*(p + 1)**2*(7*p - 2)
What is v in 88*v**2 - 28*v**2 - 96*v - 24*v**2 - 4*v**3 + 64 = 0?
1, 4
Suppose 46 = -5*o + 151. Suppose -6*d = 3*t - 2*d - o, 3*t - 2*d = 3. Factor -h**5 + h**2 + 3 - 3*h**t + 3*h**4 - 3.
-h**2*(h - 1)**3
Let v = 10 + -7. Let v*x**2 + x**4 + x**4 - x**2 - 4*x**4 = 0. What is x?
-1, 0, 1
Let l = 0 - -2. Factor -3*m**l - m + 0*m**3 + 3*m + m**3.
m*(m - 2)*(m - 1)
Let t(l) be the third derivative of l**5/180 - l**4/72 + 3*l**2. Determine f so that t(f) = 0.
0, 1
Let z = 1 - -1. Let q be 0/(-2*z/(-4)). Let -2/9*r**2 - 4/9*r**3 - 2/9*r**4 + q*r + 0 = 0. What is r?
-1, 0
Let w(m) be the third derivative of -m**8/26880 + m**7/3360 - m**5/15 - 4*m**2. Let q(y) be the third derivative of w(y). Find k, given that q(k) = 0.
0, 2
Let b(w) = w - 8. Let i be b(13). Factor 3*s**2 - 1 + 4*s**4 - s**3 + 1 - 5*s**2 + 3*s**i.
s**2*(s + 1)**2*(3*s - 2)
Suppose n = -4*g + 5*n + 28, -5*g + 31 = -4*n. Let w be (2/g)/((-4)/(-18)). Factor 11*j**4 - 2*j**w + 3*j - 10*j**4 - j - j**2.
j*(j - 2)*(j - 1)*(j + 1)
Solve -4/9*s**2 + 2/9*s - 2/9*s**3 + 4/9 = 0 for s.
-2, -1, 1
Let o(c) be the first derivative of -c**4/24 + c**3/6 - c**2/4 - 3*c + 2. Let g(f) be the first derivative of o(f). Factor g(x).
-(x - 1)**2/2
Let f(d) be the second derivative of d**7/3780 - d**4/3 - 5*d. Let w(t) be the third derivative of f(t). Let w(y) = 0. Calculate y.
0
Solve 10/11*w**2 + 2/11*w**4 - 4/11*w + 0 - 8/11*w**3 = 0 for w.
0, 1, 2
Let u(y) be the first derivative of y**7/3360 + y**6/720 + y**5/480 + 4*y**3/3 - 1. Let j(b) be the third derivative of u(b). Factor j(v).
v*(v + 1)**2/4
Suppose -7 = -2*d - 4*f - f, 5*d - 3*f = -60. Let g be d/(-4) - (-9)/(-36). Factor -3/2*z - z**g + 3/2*z**3 + 1.
(z - 1)*(z + 1)*(3*z - 2)/2
Suppose -2*h - 3 + 11 = 0. Suppose 3*a = 3, h*k - 3*a + 4*a = 17. Find j, given that -j**k - 6 - 5*j**2 - 2*j - 4*j**3 + 6 = 0.
-2, -1, 0
Let r(d) be the second derivative of 4*d**4/3 - 2*d**3 - 27*d. Factor r(k).
4*k*(4*k - 3)
Let d(w) be the first derivative of 9/8*w**2 - 1/4*w**3 - 3/2*w + 3. Suppose d(r) = 0. Calculate r.
1, 2
Let b(c) = -21*c**5 + 39*c**4 - 101*c**3 + 59*c**2 - 9*c. Let w(q) = -4*q**5 + 8*q**4 - 20*q**3 + 12*q**2 - 2*q. Let z(h) = -2*b(h) + 11*w(h). Factor z(f).
-2*f*(f - 2)*(f - 1)**3
Let w(f) be the third derivative of f**7/210 + f**6/60 - f**5/15 - f**4/12 + f**3/2 + 44*f**2. Solve w(m) = 0 for m.
-3, -1, 1
Let d(x) be the first derivative of x**5/20 - x**4/8 + x**3/12 + 21. Determine i, given that d(i) = 0.
0, 1
Let f(b) be the second derivative of b**5/30 - b**4/12 - 3*b**2/2 - 3*b. Let t(w) be the first derivative of f(w). Factor t(p).
2*p*(p - 1)
Suppose 0 = -c + 3*c - 256. Let s be c/(-36) + 4 - 0. Let -2/9*h**5 - s*h**4 + 0*h**3 + 0 + 2/9*h + 4/9*h**2 = 0. What is h?
-1, 0, 1
Let f be (-1 - 1 - -5)*-1. Let y be (0*1/f)/(-3). Let 0*t + y*t**2 + 0 + 2/3*t**4 + 4/3*t**3 = 0. What is t?
-2, 0
Let x(g) be the third derivative of -1/70*g**5 + 0 - 1/42*g**4 - 1/420*g**6 + 0*g**3 + 0*g - 3*g**2. Factor x(o).
-2*o*(o + 1)*(o + 2)/7
Suppose 0 = -0*a + 2*a - 4. Factor 26*w**a + 0 + 3*w**3 - 11*w**4 + 2*w**4 - 2 - 28*w + 10.
-(w - 1)*(w + 2)*(3*w - 2)**2
Let h(f) be the first derivative of -f**6/480 + f**5/80 - f**4/32 + f**3/24 - f**2/2 + 2. Let d(i) be the second derivative of h(i). Factor d(y).
-(y - 1)**3/4
Suppose -2*z - 6 = 10. Let b be (-15)/(-12) - 6/z. Factor -4*l**5 + 5*l - 6*l**2 + 7*l**4 + 0*l**5 - 1 - b*l**3 + l**5.
-(l - 1)**3*(l + 1)*(3*l - 1)
Let y(t) be the first derivative of -2*t**3/9 + t**2/3 + 4*t/3 + 1. Solve y(j) = 0 for j.
-1, 2
Let a(g) be the first derivative of 2*g**5/5 + g**4/2 - 2*g**3/3 - g**2 - 6. Find q, given that a(q) = 0.
-1, 0, 1
Factor 6/5*c**2 + 8/5 - 16/5*c.
2*(c - 2)*(3*c - 2)/5
Let v(o) = 2*o**3 + o**2 - 3*o + 5. Let g(u) = u**3 - u + 2. Let q(r) = 10*g(r) - 4*v(r). Solve q(l) = 0 for l.
0, 1
Suppose 0 = 5*k + 2*k - 84. Suppose -15 = -17*d + k*d. Factor 0*l**2 + 0 + 0*l - 2/5*l**d.
-2*l**3/5
Let i be 26/(-8) - 3/(-12). Let o be (9/(-6))/(i/4). Factor n**o + 0*n + 0*n - 2*n.
n*(n - 2)
Let r(w) be the third derivative of -1/9*w**3 + 1/360*w**6 + 0 + 0*w + 1/630*w**7 - 1/60*w**5 - 5/72*w**4 + 2*w**2. Solve r(b) = 0 for b.
-1, 2
Let a(y) be the third derivative of -y**8/1344 + y**7/840 + y**6/80 + y**5/120 - 5*y**4/96 - y**3/8 + 3*y**2. Let a(i) = 0. What is i?
-1, 1, 3
Suppose -7*s - 9*s = -2*s. Let n(m) be the second derivative of 0*m**3 + 0*m**4 + s*m**2 + 1/189*m**7 + 1/90*m**5 + 2/135*m**6 - 2*m + 0. Factor n(f).
2*f**3*(f + 1)**2/9
Let n(q) = q**2 - q - 8. Let r be n(8). Let x = 99/2 - r. Let 0 + v**3 + 0*v + x*v**4 - 1/2*v**2 = 0. What is v?
-1, 0, 1/3
Let h = 2 + 2. Determine l so that -8*l - 5*l - h*l - 27 - 3*l**2 - l = 0.
-3
Let a(h) = -h**3 + h**2 + h + 3. Let g(d) = 2*d**2 - 11 + 4 - 2*d**3 + 10 + 2*d. Let o = -2 - -7. Let x(v) = o*a(v) - 4*g(v). Suppose x(m) = 0. What is m?
-1, 1
Let z(j) = -j**3 + 4*j**2 + 12*j + 2. Let w be z(6). Let -2/7 - 4/7*n - 2/7*n**w = 0. Calculate n.
-1
Let o(x) = 2*x**2 - 4*x + 15. Let t = -12 + 6. Let v = -23 + 10. Let l(i) = -i**2 + 2*i - 7. Let p(d) = t*o(d) + v*l(d). Solve p(f) = 0 for f.
1
Let x(o) be the first derivative of o**5/5 + 2*o**4/3 - 2*o**3/3 - 4*o**2 + 3*o + 6. Let t(f) be the first derivative of x(f). Find s such that t(s) = 0.
-2, -1, 1
Suppose 0 = 4*h + 4*b - 2 - 6, -2*h = 5*b + 2. Let v(p) be the second derivative of 5/18*p**h + 0 + 2*p - 2/3*p**2 - 1/3*p**3. Let v(f) = 0. Calculate f.
-2/5, 1
Suppose 0*d = 5*b + 2*d, 3*d = 0. Let g(t) be the second derivative of -1/4*t**2 + 2*t + b + 5/24*t**3 + 1/16*t**4. Let g(s) = 0. What is s?
-2, 1/3
Let o be (-40)/3 + 9/27. Let s(h) = -h - 10. Let z be s(o). Find d such that -3/4*d + 3/4*d**z + 3/2*d**2 - 3/2 = 0.
-2, -1, 1
Let c(w) = -3*w - 1. Let l be c(-1). Solve -f + 0 + 4 - f - 2*f**2 + 0*f**l = 0.
-2, 1
Factor 2/3*r + 0 - 2/3*r**5 + 0*r**3 - 4/3*r**4 + 4/3*r**2.
-2*r*(r - 1)*(r + 1)**3/3
Solve -5*p - p**2 + 2*p + 4 - 3*p + 3*p = 0.
-4, 1
Let o be (-16)/18 - (8 - (-162)/(-18)). Find y, given that 1/9*y + o*y**2 - 2/9 = 0.
-2, 1
Let a(v) = 5*v - 1. Let i be a(1). Suppose i*n - 10 = 2. Factor -2*d**3 + 2*d**2 - d**n + d**3.
-2*d**2*(d - 1)
Suppose 0*