 2.
-(f - 1)**3*(f + 2)**2
Let o be (-116)/(-14) + (-8)/28. Suppose o - 2*w**3 - 8 = 0. Calculate w.
0
Let q(w) be the first derivative of -w**6/45 + w**5/30 + w**4/18 - w**3/9 + w + 1. Let c(s) be the first derivative of q(s). Let c(f) = 0. What is f?
-1, 0, 1
Let s(i) be the second derivative of -i**3 - 2*i**2 + 2*i - 1/6*i**4 + 0. Let s(z) = 0. Calculate z.
-2, -1
Let i(b) be the second derivative of 0*b**2 - 1/39*b**4 - 3*b + 0 - 1/39*b**3. Let i(p) = 0. What is p?
-1/2, 0
Let s be -2 + (-3 + 3 - -21). Let s*o**2 - 21*o**2 + 21*o**4 + 0*o**3 + o**3 = 0. What is o?
-1/3, 0, 2/7
Let u = -4 - -7. Determine a, given that -2*a**3 + 0*a**3 - u*a + 4*a + a**3 = 0.
-1, 0, 1
Suppose -k - k + 2*n = -10, -4*k = -3*n - 16. Let o be (3 - k)*(-4)/(-2). Factor -2*i**3 + 2*i**2 - 2*i + 0*i**3 - 2*i**4 + o*i**3.
-2*i*(i - 1)**2*(i + 1)
Let s(c) be the first derivative of -c**6/12 + c**5/5 - c**3/3 + c**2/4 + 7. Factor s(k).
-k*(k - 1)**3*(k + 1)/2
Let p(z) = 10*z**4 + 5*z**3 - 4*z**2. Let f(g) = 5*g**4 + 3*g**3 - 2*g**2. Let a(w) = 11*f(w) - 6*p(w). Factor a(m).
-m**2*(m - 1)*(5*m + 2)
Let j(k) = -k**2 - k. Let x(d) be the second derivative of -d**4/4 - d**2/2 - 3*d. Let t(f) = -2*j(f) + x(f). Determine w, given that t(w) = 0.
1
Let d = -41 + 41. Let j(o) be the third derivative of -1/6*o**3 + 2*o**2 + 0*o - 1/20*o**5 + d - 1/120*o**6 - 1/8*o**4. Factor j(n).
-(n + 1)**3
Let r(z) = -z**2 + 12*z - 8. Let q be r(11). Determine u, given that -1/4 - 1/4*u + 1/4*u**2 + 1/4*u**q = 0.
-1, 1
Let y(c) = -22*c**2 + 30*c - 32. Let p = 25 + -37. Let a(v) = -5 + 12*v - 3 - 3*v**2 - 6*v**2 - 5. Let m(h) = p*a(h) + 5*y(h). Solve m(q) = 0.
1, 2
Let z = -25 - -17. Let a be (3/6)/((-2)/z). Factor -3*q**a + 8*q - 6 + 4*q - 3*q.
-3*(q - 2)*(q - 1)
Let b be (2/3)/(1/(-6)*-10). Let 0 - 7/5*a**2 + a**5 - 3/5*a**3 + 7/5*a**4 - b*a = 0. Calculate a.
-1, -2/5, 0, 1
Let x(l) be the third derivative of -l**5/240 + l**4/32 + l**3/6 + 8*l**2. Factor x(q).
-(q - 4)*(q + 1)/4
Let c(v) be the second derivative of v**8/560 + v**7/140 - v**5/20 - v**4/8 - v**3/3 - 6*v. Let j(r) be the second derivative of c(r). Solve j(i) = 0 for i.
-1, 1
Let t(y) be the second derivative of 3*y**4/4 + y**3/6 - 5*y**2/2 + y. Let o(g) = 10*g**2 - 6. Let j(a) = -3*o(a) + 4*t(a). Solve j(b) = 0 for b.
-1, 1/3
Let v be ((-60)/2)/(1 + 12). Let k = v + 176/65. Factor -k*q + 2/5*q**2 + 0 + 2/5*q**3 - 2/5*q**4.
-2*q*(q - 1)**2*(q + 1)/5
Let k(f) be the second derivative of -f**7/7560 + f**5/90 + f**4/3 + 4*f. Let q(z) be the third derivative of k(z). Let q(y) = 0. What is y?
-2, 2
Suppose 0*d = -a + d - 1, -4*a - 2*d + 20 = 0. Factor -3*c**3 - 6*c**2 + c**a + 6*c**4 - c**3 + 3*c**5.
3*c**2*(c - 1)*(c + 1)*(c + 2)
Let h(x) be the second derivative of x**7/11340 - x**5/540 - x**4/12 + x. Let c(s) be the third derivative of h(s). Factor c(j).
2*(j - 1)*(j + 1)/9
Suppose 44/7*s - 40/7*s**2 - 8/7 - 32/7*s**3 = 0. Calculate s.
-2, 1/4, 1/2
Let j(s) be the third derivative of 0*s**4 + 1/45*s**5 + 1/90*s**6 + 0*s**3 + 0 + 2*s**2 + 0*s + 1/630*s**7. Suppose j(v) = 0. Calculate v.
-2, 0
Let s(j) = 2*j**2 - 2*j - 3. Let r(h) = 3. Let f(y) = -4. Let z(k) = 4*f(k) + 5*r(k). Let u(a) = -s(a) + 3*z(a). Factor u(t).
-2*t*(t - 1)
Let t(f) = -7*f**2 - 13*f - 9. Let i(w) = 13*w**2 + 27*w + 19. Let v(l) = -3*i(l) - 5*t(l). Find h such that v(h) = 0.
-3, -1
Factor 3/5 + 1/2*n - 7/10*n**2 - 1/2*n**3 + 1/10*n**4.
(n - 6)*(n - 1)*(n + 1)**2/10
Let h be 18/3*(-2)/(-4). Factor -46/3*v**4 + 0 + 18*v**h + 4/3*v - 26/3*v**2 + 14/3*v**5.
2*v*(v - 1)**3*(7*v - 2)/3
Let g(o) be the second derivative of -o**6/15 - o**5/15 + o**4/3 + 2*o**3/3 + 7*o**2/2 - 6*o. Let w(f) be the first derivative of g(f). Factor w(l).
-4*(l - 1)*(l + 1)*(2*l + 1)
Let v = 3 - 1. Let n be 3/(v - 5)*-2. Factor 3*p + 9*p**n + 0 - 4*p**2 - 2.
(p + 1)*(5*p - 2)
Suppose 2*y + 0*w - 18 = 3*w, 5*w + 32 = 4*y. Solve i + 5*i**2 - 4*i**2 + 0*i**2 - y*i = 0 for i.
0, 2
Let y(l) be the first derivative of 0*l - 3 - 1/18*l**6 + 1/9*l**3 + 0*l**2 + 1/12*l**4 - 1/15*l**5. Find j such that y(j) = 0.
-1, 0, 1
Let b be (9/(-6))/(6/(-8)). Solve 1 - 3*m**3 + 7*m - 5*m**2 - 4*m + 0*m**3 + 4*m**b = 0.
-1, -1/3, 1
Suppose 3*r + 3*h + 15 = -21, 3*h = 0. Let p = -12 - r. Suppose 0*l + p - 2/3*l**2 = 0. What is l?
0
Let x(l) = -34*l**2 + 44*l + 6. Let y(r) = 11*r**2 - 15*r - 2. Let u(v) = -3*x(v) - 8*y(v). Factor u(k).
2*(k - 1)*(7*k + 1)
Let u(t) be the third derivative of t**5/20 - t**4/2 + 2*t**3 + 3*t**2. Factor u(r).
3*(r - 2)**2
Let y(q) = 7*q**2 + 3*q - 9. Let x(p) = -p**2 + 7*p**2 + 2*p - 6 - 4. Let a(d) = 5*x(d) - 6*y(d). Suppose a(b) = 0. What is b?
-1, 1/3
Let d(m) be the third derivative of m**6/420 - m**5/210 + 23*m**2. Factor d(o).
2*o**2*(o - 1)/7
Let y be 27/6*(2 - (-10)/(-6)). Factor 1/2*x**3 + 3/2*x - 1/2 - y*x**2.
(x - 1)**3/2
Factor 2/5*z**5 + 4/5*z**2 + 0*z**3 + 0 - 4/5*z**4 - 2/5*z.
2*z*(z - 1)**3*(z + 1)/5
Let u(n) be the second derivative of n**8/5040 + n**7/2520 + 5*n**3/6 + 7*n. Let w(d) be the second derivative of u(d). What is j in w(j) = 0?
-1, 0
Suppose 11*a - 16 = 39. Suppose 0*f + 4/11*f**4 + 0 + 2/11*f**3 + 0*f**2 + 2/11*f**a = 0. Calculate f.
-1, 0
Let f = -558/7 + 80. Factor -2/7*c**4 + f*c**2 - 2/7*c**3 + 0 + 2/7*c.
-2*c*(c - 1)*(c + 1)**2/7
Factor 2/11 + 4/11*b + 2/11*b**2.
2*(b + 1)**2/11
Suppose -6*n = -11*n + 15. Factor -21*z**2 + 19*z**3 + 23*z**3 - 6*z - 15*z**n.
3*z*(z - 1)*(9*z + 2)
Let t(a) be the second derivative of 0 - 1/110*a**5 - 3*a + 1/66*a**4 - 1/11*a**2 + 1/33*a**3. Factor t(h).
-2*(h - 1)**2*(h + 1)/11
Let r be (33/(-6))/(4/(-72)). Suppose 2*o = -o + r. Determine a so that -86*a**2 - 3 + 9*a**2 + o*a**3 - 1 + 32*a + 16*a**3 = 0.
2/7, 1
Let q(l) = -3*l**4 - 15*l**3 - 8*l**2 + 12*l - 1. Let r(i) = i**3 + i**2 + 1. Let s(x) = q(x) + 5*r(x). Factor s(p).
-(p - 1)*(p + 2)**2*(3*p + 1)
Let g(y) be the third derivative of y**6/1020 + y**5/85 + 3*y**4/68 - 18*y**2. Factor g(m).
2*m*(m + 3)**2/17
Let n = -17 + 21. Suppose 2 = -j + 2*w - 0, -2*j + w - 1 = 0. Solve -l**3 + 1/2*l**5 + 0*l**n + 1/2*l + 0*l**2 + j = 0.
-1, 0, 1
Let h(i) = 4*i**4 - 2*i**3 - 2*i**2 - 6. Let o(y) = -y**2 - 19*y**3 - 4 + 3 + 20*y**3. Let v(n) = h(n) - 6*o(n). Solve v(b) = 0.
0, 1
Let y(z) = z**4 + z**3 + z**2 + z. Let v(x) = -3*x - 2. Let q be v(-2). Let h(t) = -5*t**4 - 11*t**3 + t**2 + 7*t. Let m(c) = q*y(c) - h(c). Factor m(f).
3*f*(f + 1)**2*(3*f - 1)
Let z(x) be the first derivative of 1/5*x**5 + 3/4*x**4 - 3 + 0*x + 0*x**2 + 2/3*x**3. Factor z(y).
y**2*(y + 1)*(y + 2)
Let m = -111/7 + 17. Find a such that -2/7*a**2 - 8/7 - m*a = 0.
-2
Let h(m) be the first derivative of -3/4*m**4 + 6*m**3 + 3 - 18*m**2 + 24*m. Suppose h(q) = 0. Calculate q.
2
Let c(l) = -l**3 + 8*l**2 + 10*l - 7. Let j be c(9). Suppose 6*p - 3*p = 4*o + j, 5*p - o - 9 = 0. Factor -4*a**p - 5 - a**3 + 5 - 4*a.
-a*(a + 2)**2
Let k be (-52)/(-16) - (-1)/(-4). Determine j, given that k*j - 4*j**2 - 1 - 1 - 1 + 4 = 0.
-1/4, 1
Suppose 5*z - 9 = 2*z. Suppose z*s = -4*t + 20, 3*t + 2*s - 18 = -4. Find o such that -2*o**3 - 2*o**4 + 4*o + t*o**2 - 2*o + 0*o = 0.
-1, 0, 1
Let y(m) = 12*m**2 + 10*m - 22. Let s(u) = 0 + 2*u - u**2 + 5 - 3*u - 3. Let c(a) = -68*s(a) - 6*y(a). Factor c(j).
-4*(j - 1)**2
Factor 14/3*j**4 + 8/3 + 38/3*j**3 + 2/3*j**5 + 50/3*j**2 + 32/3*j.
2*(j + 1)**3*(j + 2)**2/3
Let i(h) be the third derivative of 0*h**4 - 1/280*h**7 + 1/60*h**5 + 0*h + 1/240*h**6 + 0 - 1/24*h**3 + 2*h**2 - 1/672*h**8. Suppose i(d) = 0. What is d?
-1, 1/2, 1
Let s = -39/2 + 21. Factor 0 + 1/2*c**5 + s*c**3 - 3/2*c**4 + 0*c - 1/2*c**2.
c**2*(c - 1)**3/2
Let b(a) be the first derivative of a**4/48 - a**3/24 - 3*a + 3. Let z(l) be the first derivative of b(l). Suppose z(c) = 0. What is c?
0, 1
Let a(i) be the second derivative of 2*i + 4/3*i**3 + 1/2*i**2 + i**4 + 0 + 1/6*i**5. Let n(y) be the first derivative of a(y). Factor n(v).
2*(v + 2)*(5*v + 2)
Let j(o) be the second derivative of o**5/20 - 2*o**4/15 + o**3/30 + o**2/5 - 14*o. Suppose j(f) = 0. Calculate f.
-2/5, 1
Let i(v) be the second derivative of 3*v**5/40 - v**4/4 - 3*v**3/4 - 24*v. Factor i(o).
3*o*(o - 3)*(o + 1)/2
Let q(g) be the first derivative of -g**5/20 + g**4/16 + g**3/3 - g**2/2 - 5. Find b, given that q(b) = 0.
-2, 0, 1, 2
Let z(i) = -i**3 - 