6 + 7.
(u - 2)*(u - 1)
Let q(z) be the second derivative of -5*z**4/4 + 9*z**3/2 + 3*z**2 + 6*z. Factor q(w).
-3*(w - 2)*(5*w + 1)
Let n(w) be the first derivative of -w**4/27 - w**3/27 + w**2/9 + 4*w - 4. Let o(f) be the first derivative of n(f). Factor o(i).
-2*(i + 1)*(2*i - 1)/9
Let d(j) = 2*j**2 - 6*j - 4. Let b(y) be the second derivative of -y**4/6 + 7*y**3/6 + 5*y**2/2 + 2*y. Let f(w) = 4*b(w) + 5*d(w). Let f(g) = 0. Calculate g.
0, 1
Let w = 37 + -35. Let q(i) be the third derivative of 1/39*i**4 - 4/39*i**3 - 1/390*i**5 + 0*i + 0 - w*i**2. Suppose q(u) = 0. What is u?
2
Let u(x) = -2 - 4 - x**3 + 6 + 3*x + 1 - x**2. Let w(h) = -h**2 + h + 1. Let y(o) = -u(o) + 2*w(o). Let y(r) = 0. What is r?
-1, 1
Suppose -21 + 6 = -3*d + 3*s, -4*d + s = -11. Suppose 3*q**2 - 4*q**d - 2*q**2 + 0*q**2 = 0. What is q?
0
Let l(x) be the first derivative of x**4/12 - 5*x**3/9 + 4*x**2/3 - 4*x/3 + 13. Factor l(d).
(d - 2)**2*(d - 1)/3
Let x(r) be the third derivative of r**6/720 + r**5/120 + r**4/48 + r**3/36 + 24*r**2 - 2. What is f in x(f) = 0?
-1
Let k(r) be the first derivative of r**6/18 + 2*r**5/15 - 17. Find g such that k(g) = 0.
-2, 0
Let f(o) = -3*o**3 + 20*o**2 - 15*o + 2. Let h(t) = t**3 + t**2 - t. Let a(g) = -f(g) + 4*h(g). Factor a(n).
(n - 1)**2*(7*n - 2)
Let n be (-8)/(-3) + 7 + -7. Suppose -3*i + 4*g + 40 = 2*i, 0 = 2*g + 10. Suppose 34*c**3 + 78*c**i - 13/3*c - 2/3 - n*c**2 + 45*c**5 = 0. Calculate c.
-1, -2/5, -1/3, 1/3
Let g(h) = -2*h**3 + 7*h**2 - 6*h - 2. Let t(a) be the first derivative of 2*a**4 - 28*a**3/3 + 25*a**2/2 + 7*a - 1. Let y(z) = -18*g(z) - 4*t(z). Factor y(q).
2*(q - 2)**2*(2*q + 1)
Let d(l) be the second derivative of -l**7/56 + 3*l**5/40 - l**3/8 + 2*l. Determine y so that d(y) = 0.
-1, 0, 1
Suppose -2/5*s**2 - 4 + 14/5*s = 0. Calculate s.
2, 5
Let c(w) be the first derivative of -2*w**6 - 34*w**5/5 - 7*w**4 + 4*w**2 + 2*w - 11. Suppose c(d) = 0. Calculate d.
-1, -1/3, 1/2
Let r(s) be the third derivative of s**8/2352 + s**7/490 + s**6/280 + s**5/420 - 7*s**2. Factor r(y).
y**2*(y + 1)**3/7
Find u such that 8*u - 4*u + 5*u**2 + u = 0.
-1, 0
Let o(b) be the first derivative of -b**5 - 5*b**4 - 5*b**3 + 9. Solve o(t) = 0.
-3, -1, 0
Let s be (32/12)/((-2)/(-15)). Let u(p) = 11*p**2 - 3*p**2 + 4*p + s*p + 11 + 13*p**2. Let n(c) = -20*c**2 - 24*c - 10. Let y(z) = 3*n(z) + 2*u(z). Factor y(f).
-2*(3*f + 2)**2
Suppose 3*w = 5*u + 47 - 4, u = -4*w + 19. Let i = w + -3. Determine v so that -32*v**2 + 1 + i + 0*v - 10*v - 18*v**3 = 0.
-1, 2/9
Let k(h) be the first derivative of h**6/300 - h**5/150 - h**4/30 - h**2 + 4. Let f(y) be the second derivative of k(y). Factor f(j).
2*j*(j - 2)*(j + 1)/5
Let s(n) be the first derivative of n**6/12 + 3*n**5/5 - 21. Factor s(y).
y**4*(y + 6)/2
Let s(y) be the third derivative of 1/24*y**4 - 2*y**2 + 0*y + 1/6*y**3 + 0 - 1/30*y**5. Factor s(o).
-(o - 1)*(2*o + 1)
Let j(l) be the third derivative of 5*l**6/204 - 7*l**5/102 + 11*l**4/204 - l**3/51 + 43*l**2. Factor j(o).
2*(o - 1)*(5*o - 1)**2/17
Let j(y) = 6*y**4 - 9*y**3 + 3*y + 5. Let k(o) = 5*o**4 - 8*o**3 + o**2 + 2*o + 4. Let f(u) = -4*j(u) + 5*k(u). Factor f(r).
r*(r - 2)*(r - 1)**2
Let u(z) be the third derivative of 0*z - 3*z**2 + 0 + 1/120*z**6 + 0*z**4 + 1/60*z**5 + 0*z**3. Factor u(a).
a**2*(a + 1)
Let k(m) = 2*m**3 - 4*m**2 + 4. Let p(s) = 4*s**3 - 8*s**2 + s + 8. Let q = -13 - -11. Let x(a) = q*p(a) + 5*k(a). Suppose x(n) = 0. What is n?
-1, 1, 2
Let o(t) = t**2 - 3*t - 4. Let q be o(4). Suppose 8*m**2 - 6*m**2 + 6*m + q*m**2 - 3*m**3 + m**2 = 0. What is m?
-1, 0, 2
Let l(h) be the first derivative of -h**3/12 - 7. Factor l(w).
-w**2/4
Let n(s) be the third derivative of -s**6/240 - s**5/60 + s**4/48 + s**3/6 + 2*s**2. Find o, given that n(o) = 0.
-2, -1, 1
Let u be ((-8)/10)/(14/(-35)). Find w, given that u*w - 2*w**2 + 11*w**2 - 7*w**2 = 0.
-1, 0
Suppose -8*f - 19 = -51. Let d(g) be the third derivative of 1/735*g**7 + 0*g**4 + f*g**2 + 0*g**3 + 1/210*g**5 - 1/210*g**6 + 0*g + 0. Let d(w) = 0. What is w?
0, 1
Solve 7*k**2 + 5*k**3 - 2*k**3 + 0*k**3 - 4 + 0*k**3 = 0 for k.
-2, -1, 2/3
Let s = 584/3 - 1877/12. Find y, given that -149/4*y**2 - 1 + 11*y - 81/2*y**5 + 59/2*y**3 + s*y**4 = 0.
-1, 2/9, 1/2, 1
Let m(p) be the first derivative of -2*p**6/21 + 12*p**5/35 - 2*p**4/7 - 8*p**3/21 + 6*p**2/7 - 4*p/7 + 32. Factor m(b).
-4*(b - 1)**4*(b + 1)/7
Let h(r) be the second derivative of -r**6/120 + r**5/60 - r**4/72 - r**3 - 7*r. Let p(l) be the second derivative of h(l). Find d such that p(d) = 0.
1/3
Let n(c) = -9*c**2 + 12*c - 3. Let q(j) = 53*j**2 - 72*j + 19. Let i(o) = -39*n(o) - 6*q(o). Factor i(k).
3*(k - 1)*(11*k - 1)
Factor 2806*l**3 - 615*l**3 + 288*l + 1716*l**2 + 16 + 1189*l**3.
4*(5*l + 1)*(13*l + 2)**2
Let z(u) be the first derivative of u**6/21 + 2*u**5/7 + 9*u**4/14 + 2*u**3/3 + 2*u**2/7 - 11. Factor z(v).
2*v*(v + 1)**3*(v + 2)/7
Let p(r) be the second derivative of 3*r**6/65 + 21*r**5/130 + 8*r**4/39 + 4*r**3/39 + 19*r. Let p(m) = 0. What is m?
-1, -2/3, 0
Let n be (2*3/(-2))/((-3)/2). Let s(d) be the third derivative of 0*d**3 + 0 + 0*d - 4*d**n + 0*d**5 - 1/210*d**7 + 0*d**4 - 1/120*d**6. Factor s(o).
-o**3*(o + 1)
Let w be (2 + (-1 - 2))*-5. Suppose -r + w*c - 20 = 0, 2*r - 5 = -0*c - 5*c. Let j(f) = -4*f**2. Let q(b) = -9*b**2. Let z(o) = r*j(o) + 2*q(o). Factor z(k).
2*k**2
Suppose 2*a + 3 = 7. Suppose 2*g - a - 5*g + 4*g**2 - 5*g**2 = 0. What is g?
-2, -1
Factor 8/5*d - 1/5*d**4 + 3/5 + 0*d**3 + 6/5*d**2.
-(d - 3)*(d + 1)**3/5
Let k = 3 - -1. Factor 3*u**3 - 3*u**4 - 6*u**3 + 6*u**k.
3*u**3*(u - 1)
Let w = -146 - -149. Factor 1/5*q**w + 0*q + 0 + 1/5*q**2.
q**2*(q + 1)/5
Suppose 0 = 3*y - 6, 84 - 66 = 4*q + 5*y. Factor 0*h - 1 + 1/4*h**q.
(h - 2)*(h + 2)/4
Let u(k) be the first derivative of 2*k**5/55 - 3*k**4/22 - 30. Find g such that u(g) = 0.
0, 3
Let t(a) = a**2 - 4*a + 1. Let m be t(5). Factor m*q**2 + 3 - 5*q - q - 1 - 2*q**3.
-2*(q - 1)**3
Let z = 13 - 11. Let 3*d**2 - z*d**3 + d**3 + 4*d**3 = 0. Calculate d.
-1, 0
Solve 8*t**3 - 129*t**2 + 22*t**3 - 30*t + 34*t**2 + 5*t**3 = 0 for t.
-2/7, 0, 3
Let c(i) be the second derivative of -i**9/13608 - i**8/7560 + i**7/11340 - i**4/12 - 5*i. Let k(h) be the third derivative of c(h). Find z such that k(z) = 0.
-1, 0, 1/5
Let b be 42/70*(-7)/(-3) - 1. Suppose b + 6/5*s + 6/5*s**2 + 2/5*s**3 = 0. Calculate s.
-1
Factor -35*x**4 + 23*x**4 + 16*x**4 - 4*x**2.
4*x**2*(x - 1)*(x + 1)
Let i(u) be the third derivative of 1/60*u**6 - 1/45*u**5 + 1/1008*u**8 + 0*u**3 + 0 - 2/315*u**7 + u**2 + 1/72*u**4 + 0*u. Factor i(d).
d*(d - 1)**4/3
Let n be 3*(-3)/(18/(-4)). Let c(f) = 2 - 1 - 2*f**2 - 3*f**2 + 8*f - 4*f**n. Let w(y) = 10*y**2 - 9*y - 1. Let l(o) = -7*c(o) - 6*w(o). Factor l(i).
(i - 1)*(3*i + 1)
Let d(a) be the first derivative of 2*a**5/5 - 2*a**4 + 10*a**3/3 - 2*a**2 - 26. Find c, given that d(c) = 0.
0, 1, 2
Let g be ((-1)/2)/(7/(-140)). Let p be ((-1)/21)/(g/(-60)). Factor p*r**3 - 4/7*r**2 + 2/7*r + 0.
2*r*(r - 1)**2/7
Suppose 0 = -8*r + 3*r + 10. Determine y, given that 0*y + 0*y**2 + 2*y + y**3 + 2*y**2 - 5*y**r = 0.
0, 1, 2
Let g = 17 + 3. Let b be -3 + 5 + g/(-18). Factor 2/3*j**2 + 2/9*j - b*j**3 + 0.
-2*j*(j - 1)*(4*j + 1)/9
Let c(d) = -5*d**5 - 4*d**4 + 4*d**3 - 4*d**2 - 5*d + 2. Let v(n) = n**5 + n**4 - n**3 + n. Let o(h) = -c(h) - 6*v(h). Factor o(z).
-(z - 1)**2*(z + 1)**2*(z + 2)
Let p(j) = 9*j - 2. Let u be p(2). Let 17*g**4 + 0*g**5 + 4*g**4 + 9*g**5 + u*g**3 + 4*g**2 = 0. What is g?
-1, -2/3, 0
Factor -2/11*g**2 - 6/11*g + 20/11.
-2*(g - 2)*(g + 5)/11
Let w(g) be the third derivative of g**8/84 - 2*g**7/105 - g**6/30 + g**5/15 - 22*g**2. Factor w(h).
4*h**2*(h - 1)**2*(h + 1)
Let s(r) be the second derivative of -5*r**7/252 - 7*r**6/180 + r**5/40 + 7*r**4/72 + r**3/18 + 18*r. Solve s(j) = 0.
-1, -2/5, 0, 1
Let y(o) be the first derivative of -1/4*o**4 + 5 + 4*o - 4*o**2 + 5/3*o**3. Factor y(t).
-(t - 2)**2*(t - 1)
Let x(y) be the second derivative of -1/15*y**5 + 5*y + 1/18*y**4 + 1/45*y**6 + 0 + 0*y**2 + 0*y**3. Factor x(c).
2*c**2*(c - 1)**2/3
Determine k, given that -6*k**3 - 2/5*k**4 + 0 - 96/5*k**2 + 128/5*k = 0.
-8, 0, 1
Let j(f) be the third derivative of -f**8/2352 + f**7/245 - 13*f**6/840 + f**5/35 - f**4/42 - 10*f**2. Let j(w) 