+ 1)*(b + 2)/2
Let x be (72/(-20))/((-4)/10). Determine w so that 2*w**2 + 9*w - x*w + 2*w**3 = 0.
-1, 0
Factor 2*z**2 - 3*z**2 + 0*z**2 - 9 + 6*z + 0*z.
-(z - 3)**2
Let g(d) = d**2 + 0*d**2 + 0*d - 11 - 3 + 3*d. Let c be g(-6). Factor 0*s + 2/3*s**c + 0*s**2 + 0 - 2/3*s**3.
2*s**3*(s - 1)/3
Let i(k) be the first derivative of -8*k**6/15 - 12*k**5/25 + k**4 + 4*k**3/5 - 2*k**2/5 - 7. Find n such that i(n) = 0.
-1, 0, 1/4, 1
Let r(v) be the second derivative of -56/3*v**3 - 8*v**2 + 10*v - 74/15*v**6 + 0 - 73/5*v**5 - 67/3*v**4 - 2/3*v**7. Suppose r(j) = 0. Calculate j.
-2, -1, -2/7
Let c(i) = -i - 1. Let u be c(-6). Let p = 9 - u. Factor 0*r + 2*r - 2*r**3 + p*r**3 - 4*r**2.
2*r*(r - 1)**2
Let r(m) be the first derivative of m**5/30 - m**4/27 - m**3/27 - 3*m - 7. Let w(y) be the first derivative of r(y). Suppose w(z) = 0. What is z?
-1/3, 0, 1
Let o(b) be the first derivative of 1/9*b**3 - 7 + b + 2/3*b**2. Determine x so that o(x) = 0.
-3, -1
Let u(v) be the third derivative of v**2 + 1/210*v**5 + 0*v**4 + 0*v - 1/735*v**7 + 0*v**6 + 0 + 0*v**3. Factor u(m).
-2*m**2*(m - 1)*(m + 1)/7
Let g(h) be the first derivative of 0*h**3 + 0*h**5 + 0*h**4 + 1/180*h**6 + 0*h - 1/2*h**2 - 3. Let c(t) be the second derivative of g(t). Factor c(w).
2*w**3/3
Let o = 214 - 1066/5. Let -o*u**4 - 1/5*u**5 - 2/5*u**2 - u**3 + 0 + 0*u = 0. Calculate u.
-2, -1, 0
Let c(n) = n**4 - n**3 + n**2 + n. Let s(i) = 8*i**4 + 2*i**3 + 12*i**2 - 2*i - 8. Let t(z) = 6*c(z) - s(z). Factor t(k).
-2*(k - 1)*(k + 1)*(k + 2)**2
Let h(p) = 11*p**2 - p + 2. Let k be h(1). Let o be (0 + 1)/(30/k). Factor -4/5 + 6/5*j - o*j**2.
-2*(j - 2)*(j - 1)/5
Let h(y) be the third derivative of 0*y - 1/40*y**6 - y**2 + 0 - 3/70*y**7 + 1/8*y**4 + 1/4*y**5 - y**3. Determine n so that h(n) = 0.
-1, 2/3, 1
Suppose 5 = -k + 10. Suppose 4*a - k = 7. Factor 0 + 0*f + 2/11*f**a - 2/11*f**2.
2*f**2*(f - 1)/11
Let w(m) be the third derivative of -m**6/300 + 10*m**2. Determine o, given that w(o) = 0.
0
Let z(p) = -p**2 - p + 4. Let n be z(-2). Factor 3/7*b + 1/7*b**3 + 1/7 + 3/7*b**n.
(b + 1)**3/7
Let y(a) be the third derivative of a**8/224 - a**7/70 - 3*a**6/80 + a**5/10 + a**4/4 + 20*a**2. Factor y(h).
3*h*(h - 2)**2*(h + 1)**2/2
Let v(z) = -z**2 + 12*z - 32. Let l be v(8). Solve -1/2*j**3 + l*j**2 + 0*j + 1/2*j**5 + 0*j**4 + 0 = 0.
-1, 0, 1
Let d(p) = -9*p**5 + 7*p**4 - 5*p**3 - 7*p. Let r(o) = 4*o**5 - 3*o**4 + 2*o**3 + 3*o. Let f(j) = 3*d(j) + 7*r(j). Factor f(b).
b**3*(b - 1)*(b + 1)
Suppose 0 = 15*p - 26*p + 44. Determine r so that 0 - 14/3*r**3 - 2/3*r - 10/3*r**2 - 2*r**p = 0.
-1, -1/3, 0
Solve 3/4*k + 3/4*k**2 - 3/2 = 0 for k.
-2, 1
Let u(o) be the second derivative of o**7/189 - 8*o**6/135 + o**5/15 + 20*o**4/27 + 25*o**3/27 - 10*o. Let u(h) = 0. Calculate h.
-1, 0, 5
Let p(l) be the third derivative of -2*l**7/105 + l**6/15 + l**5/5 - 4*l**4/3 + 8*l**3/3 + 7*l**2. Factor p(y).
-4*(y - 2)*(y - 1)**2*(y + 2)
Let x(d) = d**2 + 4*d + 3. Suppose -16 = 6*a - 2*a. Let j be x(a). Factor 6*r + 10*r**2 - 15*r**4 + 3*r**3 - 16*r**2 + 24*r**3 + j*r**5 - 15*r**2.
3*r*(r - 2)*(r - 1)**3
Let i(m) be the second derivative of 1/28*m**7 + 0*m**3 + 4*m - 1/80*m**5 + 1/24*m**4 - 7/120*m**6 + 0 + 0*m**2. Let i(g) = 0. What is g?
-1/2, 0, 2/3, 1
Let a = 7/4 + -37/24. Let p(o) be the third derivative of 0 - 3/40*o**6 - 1/6*o**3 + a*o**4 - 3*o**2 - 1/20*o**5 + 0*o. Factor p(u).
-(u + 1)*(3*u - 1)**2
Let f = -3 - -3. Suppose 0*a - 2*a = f. Find j, given that j - 3*j**4 + a*j**5 - j**5 + j**4 + 2*j**2 = 0.
-1, 0, 1
Find s such that -4/7*s**4 + 8/7*s**3 + 0 + 4/7*s**2 - 8/7*s = 0.
-1, 0, 1, 2
Solve -1/5 + 1/5*k**2 + 0*k = 0.
-1, 1
Factor 21/4*r**2 - 27/4*r + 3/2.
3*(r - 1)*(7*r - 2)/4
Let g(n) be the second derivative of 0*n**4 - 1/210*n**7 + 1/150*n**6 + 0*n**5 + 6*n + 0 + 0*n**3 + 0*n**2. Factor g(w).
-w**4*(w - 1)/5
Let r = -9 - -7. Let l be 1/r*(1 + -5). Determine u so that -5 + 3*u - 4*u**4 + 0 + u**4 - 2*u**3 + 2*u**l - u**5 + 6 = 0.
-1, 1
Suppose -10 = k - 2*z + 6*z, -3*k + 2*z + 40 = 0. Let i = -8 + k. Factor 4*f - 3 - 3*f - 3*f + 1 + 4*f**i.
2*(f - 1)*(2*f + 1)
Let n(j) = j**3 + 4*j**2 + 11*j - 4. Let z(q) = -5*q**3 - 25*q**2 - 65*q + 25. Let i(x) = 35*n(x) + 6*z(x). Find b, given that i(b) = 0.
-1, 1, 2
Factor -2*d**3 - 16/9 + 2*d + 14/9*d**2 + 2/9*d**4.
2*(d - 8)*(d - 1)**2*(d + 1)/9
Let y(z) = -6*z**3 - 34*z**2 - 20*z + 3. Let s(h) = -18*h**3 - 102*h**2 - 60*h + 8. Let b(l) = -3*s(l) + 8*y(l). Factor b(j).
2*j*(j + 5)*(3*j + 2)
Let d = 1 + 1. Let g = 4 - 2. Factor 2*h - 6*h + g*h**3 + 2*h**3 + d*h**4 - 2.
2*(h - 1)*(h + 1)**3
Let k = -2669/5 + 535. Solve -4/5*y + 2/5*y**2 - k = 0.
-1, 3
Let q(n) be the second derivative of -3*n**6/20 - 2*n**5/5 - 5*n**4/24 + n**3/6 - 17*n. Factor q(k).
-k*(k + 1)**2*(9*k - 2)/2
Let c = 302 - 298. Find p such that 4/3*p**3 + 0*p + 4/3*p**2 + 1/3*p**c + 0 = 0.
-2, 0
Let x(q) be the second derivative of 6*q**5/5 + 7*q**4/3 - 22*q**3/3 - 4*q**2 + q. Factor x(r).
4*(r - 1)*(r + 2)*(6*r + 1)
Let h(x) = x**2 - 7*x - 28. Let j be h(10). Let c(q) be the first derivative of -1/15*q**6 - q**4 - 4/3*q**3 - 2/5*q**5 - 2/5*q - q**j + 1. Factor c(g).
-2*(g + 1)**5/5
Let s = -202 - -98. Let j = 337/3 + s. Factor -3 + 10*i - j*i**2.
-(5*i - 3)**2/3
Determine u, given that -2/7*u**4 + 6/7*u - 2/7*u**2 - 6/7*u**3 + 4/7 = 0.
-2, -1, 1
Let f be (501/284 - 2)*-2. Let y = 2/71 + f. Find t such that -t**4 + 0*t**3 + y*t**5 + 0 + 0*t**2 + 0*t = 0.
0, 2
Let g(f) be the first derivative of 3*f**5/5 - 3*f**4/4 - 3*f**3 + 15*f**2/2 - 6*f - 8. Suppose g(k) = 0. What is k?
-2, 1
Let g(h) be the second derivative of -5/12*h**4 + 0 - 2/3*h**3 - 1/2*h**2 - 1/10*h**5 - 9*h. Factor g(o).
-(o + 1)**2*(2*o + 1)
Suppose 4*m**2 - 8 - 3*m**2 + 12 + m**2 + 6*m = 0. What is m?
-2, -1
Let h(m) = -6*m**4 - 9*m**3 + 30*m**2 - 33. Let t(o) = 3*o**4 + 4*o**3 - 15*o**2 + 16. Let p(q) = 4*h(q) + 9*t(q). Solve p(v) = 0.
-2, -1, 1, 2
Let w(p) = -32*p + 2. Let r be w(-3). Let a = -486/5 + r. Factor a - 14/5*q + 6/5*q**2.
2*(q - 2)*(3*q - 1)/5
Suppose a + 0 = 2. Suppose 0*d = 5*y + 4*d + 10, -33 = -4*y + 5*d. Determine j, given that 3*j**5 + y*j**a - 3*j**5 - 2*j**5 + 2*j**4 + 2*j**3 - 4*j**4 = 0.
-1, 0, 1
Factor 2/5*j**2 + 12/5*j + 0.
2*j*(j + 6)/5
Let x(l) be the first derivative of -4 + 3/4*l**4 - 1/2*l**6 - l**3 + 0*l + 3/5*l**5 + 0*l**2. Factor x(h).
-3*h**2*(h - 1)**2*(h + 1)
Factor -1/6*r**2 + 1/3 + 1/6*r.
-(r - 2)*(r + 1)/6
Let f(h) = h + 2. Let v be f(-6). Let w(k) = -k**3 - 2*k**2 + k - 2. Let b(a) = -2*a**3 - 5*a**2 + 2*a - 5. Let i(p) = v*b(p) + 10*w(p). Factor i(o).
-2*o*(o - 1)*(o + 1)
Factor -10 - 23*u**3 - 8*u + 10 + 19*u**3 + 12*u**2.
-4*u*(u - 2)*(u - 1)
Let s(g) = -2*g**2 + 48*g. Let v be s(24). Factor 0*d + v + 1/6*d**3 + 1/2*d**2.
d**2*(d + 3)/6
Suppose 3*g + 5*j = 5*g + 7, 2*j + 2 = 2*g. Factor 0 - 1/4*y**3 + 3/4*y**g - 3/4*y**2 + 1/4*y.
y*(y - 1)*(y + 1)*(3*y - 1)/4
Suppose -5*w + 6 - 21 = 0. Let y(h) = -h**3 - 3*h**2 + h. Let p(g) = 6*g**3 + 16*g**2 - 6*g. Let l(t) = w*p(t) - 16*y(t). Determine a so that l(a) = 0.
-1, 0, 1
Let o = -4 + 9. Suppose -5*h + 4 = 4*a, o*a - 2*a = 3. Let 2/3*b**3 + 1/3*b**4 + h*b**2 - 2/3*b - 1/3 = 0. What is b?
-1, 1
Let r(s) be the first derivative of 7*s**4/18 - 5*s**3/9 - 2*s**2/3 - 2*s - 3. Let j(l) be the first derivative of r(l). Let j(t) = 0. What is t?
-2/7, 1
Let g(a) be the second derivative of 0*a**2 - 2*a + 0*a**4 + 0*a**3 - 1/15*a**6 + 0 + 1/35*a**5. Factor g(d).
-2*d**3*(7*d - 2)/7
Suppose 12 = -1276*k + 1280*k. Factor 0*n**2 + 2/3*n**k + 4/3 - 2*n.
2*(n - 1)**2*(n + 2)/3
Let i(f) = 3*f + 18. Let l be i(-5). Let v(a) be the first derivative of -2/3*a**l + a**2 + 4*a - 1. Factor v(b).
-2*(b - 2)*(b + 1)
Solve s**2 + 0*s**2 - 6*s**2 + 3*s + 2*s**2 = 0 for s.
0, 1
Let z = 36 + -33. Find d, given that -2*d**z + 4/5*d**2 - 4/5 + 2*d = 0.
-1, 2/5, 1
Let a = 6 + -4. Suppose -b**a + 4 + 0 - 3 = 0. Calculate b.
-1, 1
Suppose 16*c - 8 = 8*c. Determine q, given that -1/2*q**3 - 5/2*q + c + 2*q**2 = 0.
1, 2
Let h = 9 - 5. Let z = 38 + -35. Determine x so that 3*x**h + 0*x**5 + 3*x**5 - 2*x**4 - 4*x**5 + x**z - x**2 = 0.
-1, 0, 1
Suppose 4*s - 4 = -y, -4*s - 12 = -3*y + s. Let h be (-20)/(-90) - y/18. Factor 2/5*j + h + 4/5*j**2.
2*j*(2*j + 1)/5
Let b(k) = k**2 - 2*k - 5