) be the first derivative of -o**4/4 - o**3/3 + o**2/2 + o - 9. Factor r(h).
-(h - 1)*(h + 1)**2
Let b(x) be the third derivative of x**2 - 1/240*x**5 + 0*x + 0 - 1/12*x**3 + 1/32*x**4. Factor b(l).
-(l - 2)*(l - 1)/4
Let l = -13527/5 + 2715. Solve 16/5*i**4 - 68/5*i**2 + 16/5 - 12/5*i**3 + l*i = 0 for i.
-2, -1/4, 1, 2
Let i(j) = 6*j + 0*j**2 + 4*j**3 + 0*j**2 - 2. Let t(o) = -o**3 + o**2 - o + 1. Let w = 10 - 7. Let l(k) = w*t(k) + i(k). Solve l(q) = 0.
-1
Let w(h) be the third derivative of h**6/780 + h**5/130 + 8*h**2. Let w(b) = 0. What is b?
-3, 0
Factor -4 + 2*f**2 + f**2 - 12*f - 7*f**2 - 4.
-4*(f + 1)*(f + 2)
Let n = 14 - 10. Factor -6*k**4 + 7*k**3 - 5*k**4 - k**3 + 2*k**5 - 2*k**2 + 5*k**n.
2*k**2*(k - 1)**3
Let b(g) = 11*g**3 - 20*g**2 - 6*g + 6. Let i(k) = -100*k**3 + 180*k**2 + 55*k - 55. Let z(x) = -55*b(x) - 6*i(x). Let z(r) = 0. What is r?
0, 4
Let r(b) be the second derivative of 4*b**7/399 - 3*b**6/95 - b**5/95 + 3*b**4/38 - 2*b**3/57 - 6*b. Let r(g) = 0. Calculate g.
-1, 0, 1/4, 1, 2
Let q be ((-2)/(-5))/((4/2)/20). Suppose 2/11*p**2 - 4/11*p**3 + 0 + 2/11*p**q + 0*p = 0. What is p?
0, 1
Let i(a) be the third derivative of 0*a**3 + 8*a**2 + 1/4*a**4 + 0*a + 1/40*a**6 + 0 + 3/20*a**5. Find f such that i(f) = 0.
-2, -1, 0
Let g = 123 + -121. Let u(o) be the second derivative of 0 + 4/7*o**g - o - 4/7*o**3 + 1/14*o**5 + 1/14*o**4. Solve u(v) = 0 for v.
-2, 2/5, 1
Let n(q) be the first derivative of 1/24*q**4 - q - 1/4*q**2 - 3 - 1/12*q**3 + 1/40*q**5. Let b(z) be the first derivative of n(z). Factor b(c).
(c - 1)*(c + 1)**2/2
Let v = 53/924 + 2/77. Let g(j) be the first derivative of -1/6*j**2 + 0*j + v*j**4 - 2 - 1/9*j**3 + 1/15*j**5. Factor g(q).
q*(q - 1)*(q + 1)**2/3
Let r(a) be the first derivative of -3 - 4/11*a - 16/11*a**3 + 15/11*a**2 - 8/11*a**4. Suppose r(q) = 0. Calculate q.
-2, 1/4
Let d(c) be the second derivative of c**8/560 - c**6/60 + c**4/8 - c**3/6 + 2*c. Let o(f) be the second derivative of d(f). Factor o(z).
3*(z - 1)**2*(z + 1)**2
Let r(m) be the first derivative of 2*m**5/25 - 8*m**4/5 + 128*m**3/15 - 25. Factor r(o).
2*o**2*(o - 8)**2/5
Let r(c) be the third derivative of -c**6/1080 + c**5/180 + c**3/3 + 6*c**2. Let o(h) be the first derivative of r(h). Factor o(v).
-v*(v - 2)/3
Let j = -23/28 + 1123/140. Solve -j*q - 8/5 - 16/5*q**2 = 0 for q.
-2, -1/4
Let x(y) be the second derivative of y**6/120 - y**5/80 - y**4/24 + 5*y. What is z in x(z) = 0?
-1, 0, 2
Suppose 5*w - 2 = 4*w. Let 2*b**2 + 2*b - b - w - b = 0. Calculate b.
-1, 1
Let d(b) be the third derivative of b**6/1080 + b**5/180 + b**3/2 + b**2. Let i(a) be the first derivative of d(a). Suppose i(m) = 0. Calculate m.
-2, 0
Let u be (-2 - -2)/(-5*4/(-20)). Let d(f) be the second derivative of u*f**3 + 1/48*f**4 - f + 0 - 1/8*f**2. Factor d(i).
(i - 1)*(i + 1)/4
Factor 2*f**5 + 15/2*f**4 - 1/2 + 0*f + 10*f**3 + 5*f**2.
(f + 1)**4*(4*f - 1)/2
Suppose -8*n = -9*n. Let t(m) be the second derivative of 2*m + n - 1/20*m**5 + 1/2*m**2 + 1/6*m**3 - 1/12*m**4. Factor t(h).
-(h - 1)*(h + 1)**2
Factor 0*s + s**2 + 5/2*s**4 - 7/2*s**3 + 0.
s**2*(s - 1)*(5*s - 2)/2
Suppose -8*w - 2 = -9*w. Find i such that 2*i - 2*i**w - i**5 - 3*i**4 - i + 5*i**4 = 0.
-1, 0, 1
Suppose -2*g - 105 = -7*g. Let b be ((-14)/g)/(5/(-3)). Factor b*s**5 + 0*s**2 + 0*s**4 + 0*s + 0 + 0*s**3.
2*s**5/5
Let s(h) = 15*h**4 - 47*h**3 + 17*h**2 + 72*h + 7. Let f(x) = -7*x**4 + 23*x**3 - 9*x**2 - 36*x - 3. Let z(j) = -7*f(j) - 3*s(j). Factor z(b).
4*b*(b - 3)**2*(b + 1)
Let o(z) be the third derivative of z**8/112 - z**7/14 + z**6/5 - z**5/5 + 9*z**2. Solve o(w) = 0 for w.
0, 1, 2
Suppose -3 = 10*n - 11*n. Let q(j) be the second derivative of 0 - 1/100*j**5 + 0*j**2 + 1/150*j**6 - 1/60*j**4 - 2*j + 1/30*j**n. Determine m so that q(m) = 0.
-1, 0, 1
Factor -8/3*v - 2/9*v**3 + 16/9 + 4/3*v**2.
-2*(v - 2)**3/9
Let h = 15 + -12. Let 6*k + 4*k**3 - 3*k - 6*k**3 - k**h = 0. What is k?
-1, 0, 1
Suppose 5*h - h = 3*m + 23, -2*m = 5*h. Suppose 2/3*g**3 - 2/3*g**5 + 0*g - 14/3*g**2 + h*g**4 + 8/3 = 0. Calculate g.
-1, 1, 2
Let u(h) be the second derivative of 8*h**7/21 - 16*h**6/15 + 3*h**5/4 + h**4/6 - h**3/6 - h. Solve u(s) = 0 for s.
-1/4, 0, 1/4, 1
Let w(b) = 5*b**2 + 7*b - 2. Let r(l) = 4*l**2 + 6*l - 1. Suppose 0 = 5*q - 4 - 11. Let g(k) = q*w(k) - 4*r(k). Factor g(o).
-(o + 1)*(o + 2)
Let h(a) be the first derivative of -1/14*a**4 - 4/21*a**3 + 1/21*a**6 - 10 + 4/35*a**5 + 0*a**2 + 0*a. Let h(w) = 0. What is w?
-2, -1, 0, 1
Let k(y) = 3*y - 56. Let c be k(20). Determine l so that 0*l + 2/15*l**2 + 2/15*l**c + 4/15*l**3 + 0 = 0.
-1, 0
Factor 5*w**5 - 13*w**4 - 6*w**3 + w**3 + 13*w**4.
5*w**3*(w - 1)*(w + 1)
Let k(i) be the second derivative of 1/10*i**5 - 5/6*i**4 - 3*i**2 + 4*i + 7/3*i**3 + 0. Suppose k(b) = 0. What is b?
1, 3
Let f = -8 - -8. Suppose f = -3*a - r + 8, -2*a + 5 = 3*r + 2. Solve -1/2*v - 2*v**2 - a*v**3 + 0 - 2*v**4 - 1/2*v**5 = 0.
-1, 0
Let m(n) be the third derivative of -1/54*n**4 + 0*n**3 + 0 - 1/270*n**5 + 4*n**2 + 0*n. Factor m(t).
-2*t*(t + 2)/9
Let b(p) be the third derivative of -p**6/420 + p**5/210 - 3*p**2. Factor b(w).
-2*w**2*(w - 1)/7
Factor 2/3*r**2 - 4/3*r + 0 + 1/3*r**3 - 1/6*r**4.
-r*(r - 2)**2*(r + 2)/6
Suppose 0 = -u + 3 - 0. Factor -6/7*z + 2/7 - 2/7*z**u + 6/7*z**2.
-2*(z - 1)**3/7
Let i(j) be the first derivative of -3*j**2 + 4*j + 2/3*j**3 + 3. Let i(o) = 0. Calculate o.
1, 2
Let w(u) = u**3 + u**2 - 1. Let m(p) = -4*p**3 - 3*p**2 + 5. Let x(c) = 3*m(c) + 15*w(c). Determine o, given that x(o) = 0.
-2, 0
Let g(x) = -24*x + 11 - 2*x**2 + 15*x - 5*x**3 - 2. Let o(b) = 3*b**3 + b**2 + 5*b - 5. Let q(p) = 4*g(p) + 7*o(p). Find w such that q(w) = 0.
-1, 1
Determine q so that -2/5*q + 1/5*q**2 - 3/5 = 0.
-1, 3
Let y = 103 - 74. Suppose -28 = -4*b - 7*t + 3*t, 3*t = -5*b + y. Factor -2*j**b - j - 2*j**2 - 4*j**2 - j - 6*j**3.
-2*j*(j + 1)**3
Suppose 5*w - 30 = -5*r, r = 4*w - 8 - 6. Let f = -16 + 114/7. Factor 2/7*s**r + f - 4/7*s.
2*(s - 1)**2/7
Let z(i) be the third derivative of 0*i**4 + 1/240*i**5 + 0*i + 1/1440*i**6 + 3*i**2 - 1/2*i**3 + 0. Let u(w) be the first derivative of z(w). Factor u(r).
r*(r + 2)/4
Let c(t) = -4*t**2 - 6*t + 2. Let f(h) = h - 1. Let s(d) = c(d) + 2*f(d). Determine v so that s(v) = 0.
-1, 0
Let k(y) be the third derivative of y**7/70 + y**6/10 + y**5/20 - 3*y**4/4 + 21*y**2. Factor k(p).
3*p*(p - 1)*(p + 2)*(p + 3)
Let v be ((-18)/21)/(1/(-7)). Let w be (5 - v) + 2/2. Factor 3/4 + 3/2*g + w*g**2 - 3/2*g**3 - 3/4*g**4.
-3*(g - 1)*(g + 1)**3/4
Let a be 2/(-6) - 187/51. Let n be -1*a*15/50. Factor n*o**2 + 0 + 6/5*o**3 + 2/5*o + 2/5*o**4.
2*o*(o + 1)**3/5
Let s(f) be the third derivative of -f**6/60 - f**5/6 - f**4/3 + 24*f**2. Suppose s(i) = 0. What is i?
-4, -1, 0
Let u be (-1773)/(-30) - 5/(-10). Let h = 60 - u. Let 0*i**3 + 2/5*i**4 + 0 - h*i**2 + 0*i = 0. Calculate i.
-1, 0, 1
Let z(m) be the second derivative of -m**5/30 - 5*m**4/18 - 7*m**3/9 - m**2 - 9*m. Factor z(h).
-2*(h + 1)**2*(h + 3)/3
Let q(m) be the first derivative of -m**4/20 + m**3/5 - 3*m**2/10 + m/5 - 14. Factor q(z).
-(z - 1)**3/5
Factor 1/6*v**2 + 4/3 - v.
(v - 4)*(v - 2)/6
Let v(x) be the second derivative of x**5/20 - x**4/12 - 5*x**3/6 - 3*x**2/2 + 7*x. Factor v(w).
(w - 3)*(w + 1)**2
Let o(k) be the first derivative of k**6/6 + 8*k**5/5 + 6*k**4 + 32*k**3/3 + 8*k**2 - 38. Factor o(a).
a*(a + 2)**4
Let d(t) be the third derivative of -t**10/302400 + t**8/20160 - t**6/1440 - t**5/20 + 2*t**2. Let g(u) be the third derivative of d(u). Factor g(p).
-(p - 1)**2*(p + 1)**2/2
Let h(z) = z**2 - 7*z + 2. Let c be h(7). Factor x**2 - x**4 - 7*x + 0*x**4 + 5*x + c*x**3.
-x*(x - 2)*(x - 1)*(x + 1)
Let z = -3 - -5. What is w in 3*w**2 - 5*w + 4*w - 4 + 0*w**z + 5*w = 0?
-2, 2/3
Let r = -1 - -2. Let v(g) be the first derivative of 0*g**3 - 4/3*g + r - 1/6*g**4 + g**2. Suppose v(u) = 0. Calculate u.
-2, 1
Suppose 0 + 0*j**3 - 2/9*j**2 + 2/9*j**4 + 0*j = 0. What is j?
-1, 0, 1
Let x(c) be the second derivative of c**6/150 - c**5/100 - c**4/20 + c**3/30 + c**2/5 - 8*c. Find l, given that x(l) = 0.
-1, 1, 2
Let k(z) be the first derivative of -z**3/15 + z**2/5 - z/5 + 5. Determine q, given that k(q) = 0.
1
Suppose -2 = -2*k + 8. Let c = 416 - 412. Let -1/2 + 7/2*a**2 + 72*a