*w. Factor o(f).
(f + 6)**2
Let f be 2 + (-1 + 5)/(7 - 6). Let n(x) be the first derivative of 5/21*x**f + 0*x**3 + 6/35*x**5 + 0*x**2 + 0*x + 1 - 1/7*x**4. Let n(q) = 0. What is q?
-1, 0, 2/5
Let n(g) be the first derivative of -18*g**2 + 2/15*g**5 - 7 - 5/3*g**4 + 8*g**3 + 18*g. Solve n(x) = 0.
1, 3
Suppose -2*v + 0 = -4. Factor -8/3*w**v + 4/9 - 14/9*w**3 - 2/3*w.
-2*(w + 1)**2*(7*w - 2)/9
Let b(q) be the third derivative of -q**5/20 - q**4/4 - q**3/2 - 34*q**2. Find n, given that b(n) = 0.
-1
Let f(p) be the first derivative of 0*p**2 + 2/3*p**3 + 6 + 1/6*p**4 + 0*p. Factor f(m).
2*m**2*(m + 3)/3
Find v such that -2/3 + 26/9*v - 8/9*v**2 = 0.
1/4, 3
Let d(u) be the first derivative of 2*u**5/45 + u**4/18 - 10*u**3/27 + u**2/3 + 24. Determine c so that d(c) = 0.
-3, 0, 1
Let h(m) = -3*m - 1. Let z be h(-1). Let n be (4/12)/((-1)/(-6)). Factor -3*s - 4 - 3*s**2 + 2*s**n + z.
-(s + 1)*(s + 2)
Let i be 3/42*4/6. Let c(l) be the second derivative of 5/21*l**4 - 1/7*l**5 + i*l**6 - 5/21*l**3 - 3*l + 1/7*l**2 - 1/147*l**7 + 0. Factor c(m).
-2*(m - 1)**5/7
Let z be (0 - -1)*(-23)/(-115). Factor -1/5 - 2/5*k - z*k**2.
-(k + 1)**2/5
Let r = 9 + 2. Suppose -r = -5*y + 9. Let -8*t**2 - 8*t - 2*t**5 - 10 + 4*t**y + 10 + 6*t**3 = 0. What is t?
-1, 0, 2
Suppose 11 = 5*n - 9. Let k(b) be the second derivative of 0 + 0*b**2 + 1/20*b**5 + b + 0*b**n + 0*b**3 + 1/30*b**6. Suppose k(c) = 0. What is c?
-1, 0
Factor -28*a**4 + 5*a**3 + 14*a**3 - 18*a**2 + 82*a**2 + a**3 + 16*a.
-4*a*(a - 2)*(a + 1)*(7*a + 2)
Let c be (-2 - -1)/((-9)/27). Let m = 5/7 + -3/7. Factor -2/7*r**4 - m + 0*r + 0*r**c + 4/7*r**2.
-2*(r - 1)**2*(r + 1)**2/7
Let t(x) be the second derivative of 4*x + 3/20*x**5 + 0*x**2 - 1/4*x**4 + 0 - x**3. Find l, given that t(l) = 0.
-1, 0, 2
Let k(q) = -q**2 + 10*q + 11. Let a(f) = f + 1. Let j(i) = -6*a(i) + k(i). Let s be j(5). Factor 0*g - 1/4 - 1/4*g**4 + 1/2*g**2 + s*g**3.
-(g - 1)**2*(g + 1)**2/4
Let i(k) be the second derivative of -k**7/84 - k**6/10 - 3*k**5/10 - 5*k**4/12 - k**3/4 - 5*k. Determine t so that i(t) = 0.
-3, -1, 0
Let l(a) be the first derivative of 3 - 1/6*a**4 + 0*a + 2/9*a**3 + 0*a**2. Factor l(d).
-2*d**2*(d - 1)/3
Suppose -6*q + 16 = -4*q + 5*l, -2*q + 4*l = 2. Determine f so that 0*f**2 + 4/7 + 2/7*f**q - 6/7*f = 0.
-2, 1
Let z = -15 - -19. Factor 4*c**3 + 7 + 2 + 8*c**2 - z*c - 17.
4*(c - 1)*(c + 1)*(c + 2)
Let q(s) be the second derivative of -s**7/105 - s**6/25 - s**5/25 + 8*s. Factor q(u).
-2*u**3*(u + 1)*(u + 2)/5
Let k be 4 + -2 - (-25 - -1). Let s = k - 23. Factor 0 + 0*m**2 - 2/3*m + 2/3*m**s.
2*m*(m - 1)*(m + 1)/3
Factor 0*c + 0 + 2/11*c**4 - 2/11*c**2 + 0*c**3.
2*c**2*(c - 1)*(c + 1)/11
Factor 20*u**2 + 3*u - 5*u**3 - 9*u + u - 20*u + 10.
-5*(u - 2)*(u - 1)**2
Let f(q) be the first derivative of 4*q**3/3 - 2*q**2 - 36. Factor f(v).
4*v*(v - 1)
Let i(x) be the third derivative of -2/15*x**5 + 0 + 0*x**4 + 0*x**6 + 0*x + 2/3*x**3 + x**2 + 2/105*x**7. Solve i(w) = 0 for w.
-1, 1
Let l = -30 + 0. Let m be (1/2)/(l/(-216)). Let -2*f - m*f**3 + 4/5 - 32/5*f**2 = 0. Calculate f.
-1, 2/9
Let x be 2/(-20)*-18 + -1. Let l be ((-3)/(-20))/((-3)/(-24)). What is i in l*i + x - 2/5*i**3 + 0*i**2 = 0?
-1, 2
Let o(a) be the second derivative of a**6/90 - a**4/36 - 16*a. Factor o(w).
w**2*(w - 1)*(w + 1)/3
Factor 0*j**2 + 8/9*j - 2/9*j**3 + 0.
-2*j*(j - 2)*(j + 2)/9
Factor 25/7*a**3 - 8/7 + 1/7*a**5 - 38/7*a**2 - 8/7*a**4 + 4*a.
(a - 2)**3*(a - 1)**2/7
Find l such that -l**2 + 2*l + 2*l**2 - 4*l + l - l**4 + l**3 = 0.
-1, 0, 1
Factor -1/8*h + 0 - 1/8*h**2.
-h*(h + 1)/8
Suppose q + 1 + 0 = 3*d, 5*q - 3*d - 7 = 0. Factor 6/11*l**3 + 8/11*l**q - 2/11*l - 4/11.
2*(l + 1)**2*(3*l - 2)/11
Factor -2/3*a**3 + 8*a**2 + 128/3 - 32*a.
-2*(a - 4)**3/3
Let f(q) be the third derivative of -q**7/70 - q**6/20 + q**4/4 + q**3/2 + 8*q**2. Let f(o) = 0. What is o?
-1, 1
Suppose -2*c - 7 = -15. Let p(r) be the second derivative of 0*r**2 - 2*r - 2/21*r**3 + 1/35*r**5 - 1/105*r**6 + 1/42*r**c + 0. Factor p(k).
-2*k*(k - 2)*(k - 1)*(k + 1)/7
Let r(d) = 7*d - 5. Let t(z) = 3*z - 2. Let f(y) = 4*r(y) - 10*t(y). Let g be f(-1). Determine m so that 4 - 4 + 5*m**3 - g*m**2 - 5*m + 2 = 0.
-1, 2/5, 1
Factor 8 - 2 + 2*i**2 - 6*i - 2.
2*(i - 2)*(i - 1)
Let h = 1 - -2. Factor -48*o**2 + 2 + 28*o + h - 9.
-4*(3*o - 1)*(4*o - 1)
Let t(v) = 3*v - 2. Let p be t(2). Let r(b) be the third derivative of 3/20*b**5 + 0*b - 1/6*b**3 - 1/24*b**p + 0 + 3/40*b**6 + b**2. Factor r(j).
(j + 1)*(3*j - 1)*(3*j + 1)
Let a(y) be the first derivative of y**6/18 - 2*y**5/15 + 2*y**3/9 - y**2/6 - 8. Suppose a(d) = 0. What is d?
-1, 0, 1
Let m(i) be the third derivative of -i**6/40 + i**5/20 + 5*i**4/8 + 3*i**3/2 - 37*i**2. Factor m(f).
-3*(f - 3)*(f + 1)**2
Let j = 5 + -3. Suppose -2*c = -6, 2*c = -4*x + 3*c + 13. Find b, given that -5*b**2 + b + x + 3*b**j - 3*b = 0.
-2, 1
Let c = -48 - -51. Let 1/2*a**c + 0*a - 1/2*a**5 - 1/2*a**4 + 0 + 1/2*a**2 = 0. What is a?
-1, 0, 1
Let h(t) be the second derivative of t**5/100 - 7*t**3/30 - 3*t**2/5 + 45*t. Factor h(u).
(u - 3)*(u + 1)*(u + 2)/5
Let g be 5/(-6)*(-5)/25*2. Factor 0*v + 0 - g*v**2.
-v**2/3
Let w be (-4)/14 + (-32)/(-14). Let f(k) be the first derivative of 1/7*k**2 - 3/14*k**4 + 0*k + w - 4/21*k**3. Determine o, given that f(o) = 0.
-1, 0, 1/3
Solve 10*f - 4*f - 8*f**3 - f**2 - 4*f**2 + 3*f**4 = 0.
-1, 0, 2/3, 3
Let o(c) be the second derivative of c**7/210 - c**6/50 + 3*c**5/100 - c**4/60 - 17*c. Let o(g) = 0. Calculate g.
0, 1
Let m(y) be the first derivative of 3*y**5/10 + 3*y**4/8 - 3*y**3/2 - 3*y**2/4 + 3*y + 13. Factor m(r).
3*(r - 1)**2*(r + 1)*(r + 2)/2
Let s = -140 + 142. Let 2/5*d**s + 0*d + 0 = 0. What is d?
0
Let q(o) be the second derivative of -o**9/52920 + o**7/8820 - o**4/12 - 3*o. Let n(w) be the third derivative of q(w). Factor n(p).
-2*p**2*(p - 1)*(p + 1)/7
Let u = 12 + -9. Factor u + 0 + q**2 - q**2 + 5*q + 2*q**2.
(q + 1)*(2*q + 3)
Let r(a) be the second derivative of 0 + 2/3*a**4 - 2*a - 1/5*a**5 - 2/15*a**6 + 0*a**3 + 0*a**2. Factor r(x).
-4*x**2*(x - 1)*(x + 2)
Let z(m) be the first derivative of m**6/1260 + m**5/420 - m**4/42 + 2*m**3/3 - 1. Let j(w) be the third derivative of z(w). Factor j(t).
2*(t - 1)*(t + 2)/7
Let u(v) = 3*v + 0 - 6 - v. Let x be u(4). Suppose 2 - 4*w - w**x + 6*w**2 - 3*w**2 = 0. Calculate w.
1
Let o be (-4)/(-6)*(-9)/(-15). Let z = -646 - -3232/5. What is k in 8/5*k**2 - o*k**4 - 1/5*k**5 + 7/5*k + 2/5 + z*k**3 = 0?
-1, 2
Let o be 2/(-4)*0/1. Suppose 4*b - 14 = -2*s, o*b - 2*b = -2*s - 16. Factor 3*g**3 - 3*g**b + g**5 - 4*g**4 - 5*g**3.
-2*g**3*(g + 1)**2
Let o(z) be the third derivative of 5*z**8/2016 - z**7/420 - 17*z**6/720 + 19*z**5/360 - z**3/9 + 3*z**2. Factor o(i).
(i - 1)**3*(i + 2)*(5*i + 2)/6
Factor 0*p + 1/2*p**3 + 0 + 1/2*p**2.
p**2*(p + 1)/2
Let m be (1 - 2) + (-8)/(-56)*13. Suppose -8/7*p**2 + m*p**4 - 4/7*p + 4/7*p**3 + 2/7 = 0. What is p?
-1, 1/3, 1
Let m be 1*(-3 + 3/1). Let b = 1/3 - m. Let -b - 1/3*x**2 + 2/3*x = 0. What is x?
1
Let q(y) = -9*y**3 - 24*y**2 - 15*y - 4. Let l(t) = 125*t**3 + 335*t**2 + 210*t + 55. Let h(x) = 4*l(x) + 55*q(x). Let h(b) = 0. Calculate b.
-3, -1, 0
Suppose -3*t = -y - 6*t + 3, 2*y - t = 6. Let m be 1/(y/6 - 0). Factor 0*k - 1/3*k**m + 0.
-k**2/3
Let c(l) be the first derivative of 3/2*l**2 - 1/150*l**5 - 1 - 4/15*l**3 + 0*l + 1/15*l**4. Let v(h) be the second derivative of c(h). Factor v(s).
-2*(s - 2)**2/5
Let i(t) = t + 13. Let g be i(-9). Let z(x) be the third derivative of 0 + 1/105*x**7 - 1/15*x**6 + 1/5*x**5 + 1/3*x**3 - 1/3*x**g - x**2 + 0*x. Factor z(j).
2*(j - 1)**4
Let f be 8/(-12)*(2 + -5). Let c(t) be the second derivative of -7/48*t**4 - 1/12*t**3 - f*t + 0 + 7/120*t**6 + 1/40*t**5 + 0*t**2. Factor c(v).
v*(v - 1)*(v + 1)*(7*v + 2)/4
Let s(o) be the third derivative of o**8/504 + 2*o**7/315 - o**5/45 - o**4/36 + 3*o**2. Factor s(x).
2*x*(x - 1)*(x + 1)**3/3
Let i(k) be the third derivative of k**5/30 - k**4/3 + 4*k**3/3 + 8*k**2. Factor i(o).
2*(o - 2)**2
Let z(n) be the second derivative of -n**8/420 - 3*n**7/280 - n**6/60 - n**5/120 - 2*n**3/3 - 3*n. Let x(k) be the second derivative of z(k). Factor x(d).
-d*(d + 1)**2*(4*d + 1)
Solve 2*q**3 + 2*q**2 - 2*q**4 + 62*q - 62*q - 2*q**5 = 0.
-1, 0, 1
Let c be 1/(6/2