*2. Factor w(a).
2*a**3*(a + 1)**2/7
Let c(k) be the third derivative of -k**8/56 + k**7/105 + 3*k**6/20 + k**5/10 - k**4/6 - 3*k**2. Solve c(z) = 0 for z.
-1, 0, 1/3, 2
Factor 9*f + 13*f + 11 + 2*f**2 + 21 - 6*f.
2*(f + 4)**2
Let u(i) = i. Let p be u(0). Suppose j + 2*j = 4*h - 3, p = 4*h - j - 9. Find n, given that 162/11*n**h + 0 - 72/11*n**2 + 8/11*n = 0.
0, 2/9
Let m = -73 - -115. Let r be (-14)/(-49) + 16/m. Factor -1/3 - r*z - 1/3*z**2.
-(z + 1)**2/3
Let w(q) be the second derivative of q**6/15 - 7*q**5/60 - q**4/3 + q**3/6 + q**2/3 + 13*q. Let w(o) = 0. What is o?
-1, -1/3, 1/2, 2
Let y(r) = -r**2 - 6*r - 3. Let g be y(-4). Factor 8*t - t**3 - 1 + 3 - 2*t**2 - 3*t + g*t**2 - t**4.
-(t - 2)*(t + 1)**3
Suppose 31*s = 32*s - 2. Factor 4/7*h - 6/7*h**s + 0 + 2/7*h**3.
2*h*(h - 2)*(h - 1)/7
Let h be 15/35 + (-125)/(-35). Let t(w) be the first derivative of -2 + 1/3*w**2 - 1/9*w**6 + 0*w**h + 4/9*w**3 + 0*w - 4/15*w**5. Find x, given that t(x) = 0.
-1, 0, 1
Let c(b) = -2*b**3 + 5*b**2 + 21*b + 15. Let p(j) = -3*j**3 + 4*j**2 + 21*j + 14. Let r(g) = 4*c(g) - 3*p(g). Find a, given that r(a) = 0.
-3, -2
Let d be -45*-2*4/24. Let x be (d/(-70))/((-3)/4). Factor 0 - 4/7*g**4 + 4/7*g**2 + x*g + 0*g**3 - 2/7*g**5.
-2*g*(g - 1)*(g + 1)**3/7
Let i be (-4)/(-18)*(-5 - -8). Factor -i + 1/3*p + 1/3*p**2.
(p - 1)*(p + 2)/3
Let s(b) be the second derivative of -b**4/3 + 3*b. Determine c so that s(c) = 0.
0
Let w = 243/5 - 48. Let g(u) be the first derivative of -w*u + 3/20*u**4 + 2 - 3/10*u**2 + 1/5*u**3. Determine b so that g(b) = 0.
-1, 1
Suppose -20*s + 18 = -62. What is t in -3/4*t**2 + 0 - 3/8*t**s + 0*t - 9/8*t**3 = 0?
-2, -1, 0
Suppose -3*l + 2*s = s - 8, l - 2*s - 6 = 0. Suppose -3 = 2*w - r, 5*r - 9 = -3*w + l*r. Factor w - 3/2*j**3 + 0*j + 1/2*j**2.
-j**2*(3*j - 1)/2
Factor -6/23*u + 8/23 - 2/23*u**2.
-2*(u - 1)*(u + 4)/23
Solve 0 - 3/5*a**3 + 0*a + 2/5*a**2 = 0 for a.
0, 2/3
Let g(j) be the second derivative of 1/30*j**4 + 0 + 3*j - 1/50*j**5 - 1/150*j**6 + 1/30*j**3 + 1/210*j**7 - 1/10*j**2. Let g(v) = 0. What is v?
-1, 1
Let u(m) = m**2 + 2*m - 4. Let w be u(-3). Let l = 4 + w. Factor 0 + 4*t**2 - 2*t**l + 0 - 2*t.
-2*t*(t - 1)**2
Let u be 1*(-2)/(-6)*-3. Let o = u + 4. Solve 2 - q - 2*q**2 + 0*q**2 + o*q**3 - 2*q**2 = 0 for q.
-2/3, 1
Let c be (-24)/16 - (-18)/4. Determine x so that 4*x**c - 6*x**3 + 5*x**3 - 4 - 4*x + 5*x**2 = 0.
-2, -2/3, 1
Let a be (0 + 1)/(5/3 - 1). Let i(k) be the first derivative of 18*k**2 - 27*k**3 + 2 + a*k**4 + 12*k + 27/5*k**5. Factor i(r).
3*(r - 1)**2*(r + 2)*(9*r + 2)
Suppose q = -3*m - 9, -4*m = 4*q - m. Factor 3 - 5 + 0 + h**5 + q*h + 5*h**2 - 4*h**3 - 3*h**2.
(h - 1)**3*(h + 1)*(h + 2)
Suppose k - 5 = v, 0*v - 15 = 3*k + 3*v. Suppose 0 + k*y + 2/3*y**2 = 0. Calculate y.
0
Suppose n - 4 = -0. Suppose 5*d + 2*c = -3 + 14, 0 = -n*c - 8. Factor -2*u**2 + 4*u**d + 0*u**4 - 3*u + 2*u**4 - u.
2*u*(u - 1)*(u + 1)*(u + 2)
Suppose -246*l - 2 + 2 - 2*l**2 + 238*l = 0. Calculate l.
-4, 0
Let t(l) = -16*l + 67. Let o be t(4). Suppose 0 - 2/3*p**o - 2*p**2 - 4/3*p = 0. What is p?
-2, -1, 0
Let h(s) be the first derivative of 0*s + 2/3*s**3 + 5 + 0*s**2 - 1/4*s**4. Factor h(f).
-f**2*(f - 2)
Let j(n) be the first derivative of 1/6*n**3 + 1/8*n**2 + 1/16*n**4 + 0*n + 1. Factor j(i).
i*(i + 1)**2/4
Let r = 344/105 - -2/35. Solve 16/3*j - r*j**2 + 8/3 = 0 for j.
-2/5, 2
Suppose -a + 6*a + 5 = 0. Let c = a + 1. What is k in c + 2/7*k + 2/7*k**2 = 0?
-1, 0
Let u = -77 + 77. Suppose -2/9 + 2/9*j**2 + u*j = 0. Calculate j.
-1, 1
Let q be 23/((-1127)/(-84)) + 2/7. Factor 0 - 1/4*l**5 + 0*l - 1/4*l**4 + 1/4*l**q + 1/4*l**3.
-l**2*(l - 1)*(l + 1)**2/4
Let s = -7 - -65/9. Factor -s*f**3 + 2/9*f - 2/9*f**2 + 2/9.
-2*(f - 1)*(f + 1)**2/9
Let x(l) = l**3 - 10*l**2 - 9*l - 14. Let t be x(11). What is p in -4*p**3 - 7*p + 2*p**3 + t + 10*p**2 - 9*p + 0 = 0?
1, 2
Factor 6/5*a**3 + 3/5*a**5 - 9/5*a**4 + 0*a**2 + 0 + 0*a.
3*a**3*(a - 2)*(a - 1)/5
Suppose 6*w = 2*w - 216. Let r be 2/(-9)*w/24. Solve 1/2*c**4 + 0*c - c**2 + 0 - r*c**3 = 0.
-1, 0, 2
Let b(s) be the third derivative of -5*s**8/168 - 11*s**7/70 - 26*s**6/75 - 5*s**5/12 - 3*s**4/10 - 2*s**3/15 - 7*s**2. Find i, given that b(i) = 0.
-1, -1/2, -2/5
Let g(n) be the second derivative of n**5/210 + n**4/42 + n**3/21 + n**2 + n. Let i(z) be the first derivative of g(z). Let i(c) = 0. What is c?
-1
Let u(c) = -c**3 + c**2 - c + 7. Let f be u(0). Let b = f + -5. Factor -3/4*y**b - 35/2*y**3 + 49/4*y**4 + 1 + 5*y.
(y - 1)**2*(7*y + 2)**2/4
Suppose 0 = -6*d - 4*d + 20. Let u(g) be the third derivative of 0*g**3 + g**d + 0*g**4 - 1/90*g**6 + 1/180*g**5 + 0*g + 0. Determine k, given that u(k) = 0.
0, 1/4
Let g(p) be the second derivative of -p**8/240 - p**7/70 - p**6/120 + p**5/60 - p**3/2 - 3*p. Let j(t) be the second derivative of g(t). Factor j(w).
-w*(w + 1)**2*(7*w - 2)
Let z(m) be the first derivative of -m**6/36 + m**5/30 + m**4/24 - m**3/18 + 7. Factor z(q).
-q**2*(q - 1)**2*(q + 1)/6
Let m be 10/4*(3 - 44/20). Solve 4/13*b**m - 2/13 - 2/13*b = 0.
-1/2, 1
Let p be -7*(4 + 30/(-7)). Let a(o) be the third derivative of 0*o**4 + 1/30*o**5 + 3*o**p + 0 + 0*o + 0*o**3. Factor a(m).
2*m**2
Let a(m) = -4*m**2 - 8*m + 8. Let t(f) = f**3 + 17*f**2 + 32*f - 32. Let i(n) = -18*a(n) - 4*t(n). Let i(g) = 0. What is g?
-2, 1, 2
Let i(w) be the first derivative of w**6/2 + 6*w**5/5 - 3*w**4/4 - 2*w**3 + 32. Let i(l) = 0. What is l?
-2, -1, 0, 1
Suppose k - 3*u = 14, k - 3*u - 2*u = 22. Let m(q) be the third derivative of q**k + 0 + 1/9*q**3 + 0*q + 0*q**4 - 1/90*q**5. Find f, given that m(f) = 0.
-1, 1
Factor -7*j + 568*j**2 - 3*j + 5 - 563*j**2.
5*(j - 1)**2
Let r be ((-7)/210)/((-14)/84). Factor -r*t - 3/5*t**2 + 0 - 1/5*t**4 - 3/5*t**3.
-t*(t + 1)**3/5
Factor -263 + 268 - 15*s**2 + 7*s + 3*s.
-5*(s - 1)*(3*s + 1)
Find f such that 25/4 + 1/4*f**2 + 5/2*f = 0.
-5
Let o(l) be the first derivative of 20*l**6/3 - 6*l**5/5 - 11*l**4 + 2*l**3 + 2*l**2 + 12. Let o(u) = 0. What is u?
-1, -1/4, 0, 2/5, 1
Let n(w) be the second derivative of -w**5/10 - 7*w**4/6 - 11*w**3/3 - 5*w**2 + 22*w. Factor n(k).
-2*(k + 1)**2*(k + 5)
Suppose 0 = -5*h + 3*g + 12, 0 = -3*h - 2*g - 4 - 4. Let y be (-6)/33 - (-6)/33. Suppose 0*p + y - 2/3*p**5 - 2/3*p**3 + h*p**2 - 4/3*p**4 = 0. Calculate p.
-1, 0
Let z(y) be the third derivative of 1/12*y**4 + 0 + 3*y**2 + 2/9*y**3 + 0*y + 1/90*y**5. Find u such that z(u) = 0.
-2, -1
Let v(x) = 6 + 5*x**2 + 2*x + x**3 - 3*x**2 - 3 - 2. Let w be v(-1). What is p in p**2 + 1/2*p**3 + 1/2*p + w = 0?
-1, 0
Factor -12/5*d**2 + 3/5*d**3 + 12/5*d + 0.
3*d*(d - 2)**2/5
Suppose -2*q = 4*i - 26, 3*i - 3*q + 1 - 43 = 0. Let 6*j**3 - j - 18*j**2 - 9*j - i*j**3 - 17*j = 0. What is j?
-3, 0
Let z(o) be the second derivative of o**6/50 + 7*o**5/100 + o**4/20 - o**3/10 - o**2/5 + 7*o. Factor z(u).
(u + 1)**3*(3*u - 2)/5
Find b, given that -3*b**2 + 3*b**3 - 172 + 70 - 30*b + 78 = 0.
-2, -1, 4
Let v(q) be the third derivative of q**7/840 - q**6/360 + q**3/2 + 5*q**2. Let k(o) be the first derivative of v(o). Let k(p) = 0. Calculate p.
0, 1
Let j(i) = -69*i**3 + i**3 + 7*i**2 + 16 + 17*i**2. Let q(y) = -23*y**3 + 8*y**2 + 5. Let r(t) = 5*j(t) - 16*q(t). Suppose r(d) = 0. What is d?
0, 2/7
Determine v so that -30*v**2 + 4*v - 4*v**3 - 8 + 24*v + 26*v**3 - 13*v**3 = 0.
2/3, 2
Let v(y) be the first derivative of -y**4/18 + 4*y**3/27 + 6. Suppose v(d) = 0. Calculate d.
0, 2
Let m(h) be the second derivative of 3*h**5/140 - h**4/14 - h**3/2 - 6*h**2/7 - 6*h. Let m(q) = 0. What is q?
-1, 4
Let g(a) = 10*a**5 + 8*a**4 - 20*a**3 + 2*a**2. Let t(o) = -50*o**5 - 40*o**4 + 99*o**3 - 9*o**2. Let r(f) = 22*g(f) + 4*t(f). Determine z so that r(z) = 0.
-2, 0, 1/5, 1
Let o be (0 + 6/(-16))*6/(-18). Let a(z) be the first derivative of -1/6*z**3 + o*z**2 + 1/16*z**4 + 0*z + 1. Factor a(y).
y*(y - 1)**2/4
Let r(g) be the first derivative of -g**6/15 - g**5/5 - g**4/6 + g - 1. Let x(a) be the first derivative of r(a). Factor x(v).
-2*v**2*(v + 1)**2
Let k = 91 + -87. Let y(x) be the second derivative of 0 + 4/3*x**2 - 4/9*x**3 + 1/18*x**4 + k*x. What is v in y(v) = 0?
2
Solve 32/3 + 2/3*r**4 + 64/3*r + 16*r**2 + 16/3*r**3 = 0.
-2
Let m be (-1)/(-2)*(-35)/91. Let b = 17/182 - m. What is a in -b*a**2 + 2/7*a + 4/7 = 0?
-