 the first derivative of 2 + 0*b**2 - 2/3*b + 2/9*b**3. Factor h(u).
2*(u - 1)*(u + 1)/3
Let v = -42 - -44. Find c, given that 0 + 1/2*c + 1/2*c**v = 0.
-1, 0
Let f(j) be the third derivative of -j**7/105 - j**6/10 - 13*j**5/30 - j**4 - 4*j**3/3 + 68*j**2. What is b in f(b) = 0?
-2, -1
Let g(q) be the second derivative of q**6/30 - q**4/6 + q**2/2 - 16*q. Suppose g(n) = 0. What is n?
-1, 1
Let l(x) = -x**4 - x**3 + x**2 - x + 1. Let g(m) = -10*m**4 - 14*m**3 + 6*m**2 - 6*m + 6. Let i(v) = g(v) - 6*l(v). Factor i(n).
-4*n**3*(n + 2)
Let i be ((-24)/48)/((-10)/12). Factor i*z - 6/5*z**2 + 0 + 3/5*z**3.
3*z*(z - 1)**2/5
Suppose 0 = 5*c - 1 - 14. Let r = 5/6 - 1/2. Factor 2*j**2 + r + 4/3*j**c + 1/3*j**4 + 4/3*j.
(j + 1)**4/3
Let x(f) be the third derivative of -f**7/140 + f**6/80 + 3*f**5/40 - 5*f**4/16 + f**3/2 - 6*f**2. Find j such that x(j) = 0.
-2, 1
Let j(a) be the third derivative of a**6/210 - a**5/15 + 4*a**4/21 + 32*a**3/21 + 27*a**2. Factor j(g).
4*(g - 4)**2*(g + 1)/7
Let h(f) be the third derivative of -3*f**2 + 1/15*f**3 + 0*f + 1/150*f**6 - 1/840*f**8 - 1/75*f**5 + 0 + 1/525*f**7 - 1/60*f**4. Suppose h(j) = 0. What is j?
-1, 1
Let b(s) = -s - 11. Let v be b(-17). Suppose -v*r = -r. Solve -2/5*y**3 - 4/5*y**2 + r - 2/5*y = 0 for y.
-1, 0
Let v(t) = 26*t**3 - 9*t**2 - 45*t - 4. Let u(o) = -27*o**3 + 8*o**2 + 45*o + 3. Let p(l) = 6*u(l) + 7*v(l). Let p(f) = 0. What is f?
-1, -1/4, 2
Let i(w) be the third derivative of -w**6/240 + w**5/240 + 5*w**4/96 + w**3/12 + 2*w**2. Factor i(r).
-(r - 2)*(r + 1)*(2*r + 1)/4
Factor 0*k**2 - 4*k**2 - k**3 - 2 + 0 - 5*k.
-(k + 1)**2*(k + 2)
Let l(o) = -4*o**2 - o + 10*o**2 - o**2 - 6*o**2. Let x be l(-1). Determine y, given that 12/5*y**3 + 2/5*y**5 - 8/5*y**4 + 2/5*y - 8/5*y**2 + x = 0.
0, 1
Let d be 135/225*(-10)/(-9). Find q such that 4/3 + 35/6*q**3 - 37/3*q**2 + d*q = 0.
-2/7, 2/5, 2
Suppose 0*o - 6 = -3*o. Factor -h**2 + 3*h**2 + 2*h**o - 2*h**2.
2*h**2
Let c(a) be the second derivative of a**5/150 - a**4/60 - 5*a**2/2 + a. Let q(g) be the first derivative of c(g). Factor q(j).
2*j*(j - 1)/5
Suppose f - 5*f - r = -12, 0 = -2*f - 5*r - 12. Let a(w) be the first derivative of 0*w**2 + 0*w - 1/2*w**f + 0*w**3 - 3. Solve a(n) = 0.
0
Let z = 107/5 - 21. Factor -2/5*a**4 - 2/5*a + 2/5*a**3 + z*a**2 + 0.
-2*a*(a - 1)**2*(a + 1)/5
Suppose i + 42 - 44 = 0. Factor -1/2*f**i + 0*f + 0.
-f**2/2
Factor -1/5*k**5 + 0*k - 3*k**3 + 9/5*k**2 + 7/5*k**4 + 0.
-k**2*(k - 3)**2*(k - 1)/5
Let y(f) be the first derivative of -f**5/15 + f**3/9 - 9. Factor y(j).
-j**2*(j - 1)*(j + 1)/3
Let h(y) be the second derivative of 1/18*y**3 + 1/15*y**5 + 4*y + 0*y**2 + 0 + 5/36*y**4. Find d such that h(d) = 0.
-1, -1/4, 0
Let p = -13799/40 - -345. Let h(l) be the second derivative of p*l**5 + 1/120*l**6 + 1/48*l**4 + 0*l**3 + 0*l**2 + l + 0. Solve h(g) = 0.
-1, 0
Let y(z) = -2*z + 6. Let b be y(4). Let k = b - -6. Factor -1 - 15*v - v**k + 2*v**2 + 15*v.
-(v - 1)**2*(v + 1)**2
Let z be 1 + 1 + 399/(-28). Let y = -12 - z. Factor -1/4*t**2 + 0 - y*t.
-t*(t + 1)/4
Let l(c) be the first derivative of c**5/14 - c**4/6 + 2*c**3/21 + 4*c + 3. Let z(v) be the first derivative of l(v). Find g, given that z(g) = 0.
0, 2/5, 1
Let h(n) be the third derivative of -n**7/630 + n**6/90 - n**5/60 - n**4/18 + 2*n**3/9 - 19*n**2. Factor h(z).
-(z - 2)**2*(z - 1)*(z + 1)/3
Let b(v) be the first derivative of -2 + 0*v + 0*v**4 + 2/5*v**5 + 2*v**2 - 2*v**3. Let b(a) = 0. Calculate a.
-2, 0, 1
Let d(a) = -6*a**2 + 16*a - 11. Let n(b) = b**2 - 3*b + 2. Let r(l) = -2*d(l) - 11*n(l). Determine q, given that r(q) = 0.
-1, 0
Determine s so that 67 - s + 72 - 3*s - 147 + 4*s**2 = 0.
-1, 2
Let z = -11 - -9. Let t be z/10 + 3/5. Factor -t*i**4 - 2/5 - 12/5*i**2 - 8/5*i**3 - 8/5*i.
-2*(i + 1)**4/5
Let o(t) be the first derivative of -t**3/12 - t**2/4 + 39. Factor o(n).
-n*(n + 2)/4
Let b(g) be the first derivative of g**4 - g**2/2 - 4. Let r be b(1). Solve 0*k + 4/5*k**4 - 14/5*k**5 - 4/5*k**2 + 0 + 14/5*k**r = 0 for k.
-1, 0, 2/7, 1
Factor 4 - 8*c**2 + 0*c**2 + 4*c**2.
-4*(c - 1)*(c + 1)
Let -2/9*f**5 + 2/9*f**3 - 2/9*f**2 + 0*f + 0 + 2/9*f**4 = 0. What is f?
-1, 0, 1
Let v(w) be the third derivative of w**5/10 - 31*w**4/24 + 49*w**3/6 + w**2. Let s(h) = 3*h**2 - 16*h + 25. Let c(i) = -5*s(i) + 2*v(i). Factor c(f).
-3*(f - 3)**2
Let n(i) be the second derivative of -i**5/60 - i**4/6 - 2*i**3/3 + 7*i**2/2 - 7*i. Let d(m) be the first derivative of n(m). Find z such that d(z) = 0.
-2
Let x be -2*36/8 + -1. Let s = x + 12. Find u such that -4/5 - 1/5*u**s + 4/5*u = 0.
2
Let a(b) be the second derivative of -b**6/180 - b**5/30 - b**4/12 - b**3/9 + 3*b**2/2 + b. Let s(g) be the first derivative of a(g). Let s(c) = 0. Calculate c.
-1
Let s(f) be the second derivative of f**4/4 + 4*f**3 + 24*f**2 - 2*f. Let s(p) = 0. Calculate p.
-4
Let l(a) be the first derivative of -a - 1/18*a**3 + 2 + 0*a**2 + 1/36*a**4. Let x(o) be the first derivative of l(o). Suppose x(w) = 0. What is w?
0, 1
Factor 32/5*t - 128/5 - 2/5*t**2.
-2*(t - 8)**2/5
Let q(f) be the third derivative of -8*f**7/105 + f**6/6 - f**5/15 + 11*f**2. Factor q(m).
-4*m**2*(m - 1)*(4*m - 1)
Let t(o) be the second derivative of o**7/525 + 17*o**6/900 + o**5/15 + o**4/15 + 5*o**3/6 - 3*o. Let j(a) be the second derivative of t(a). Factor j(x).
2*(x + 2)**2*(4*x + 1)/5
Let z(c) be the second derivative of c**6/135 + c**5/45 + 9*c. Let z(v) = 0. What is v?
-2, 0
Let b(q) be the second derivative of q**5/110 - 5*q**4/22 + 25*q**3/11 - 125*q**2/11 + 12*q. Factor b(p).
2*(p - 5)**3/11
Let s(x) be the third derivative of x**5/210 - x**4/21 + x**3/7 - 7*x**2. Factor s(i).
2*(i - 3)*(i - 1)/7
Let a be (-2 + 2 - (-4 + 1)) + -1. Let v(m) be the first derivative of -1/16*m**4 + 1/6*m**3 + 0*m - 1 - 1/8*m**a. Factor v(z).
-z*(z - 1)**2/4
Let z = -16 + 69/4. Solve 1 + z*t**2 - 2*t - 1/4*t**3 = 0 for t.
1, 2
Let w(a) be the first derivative of -2*a**3/33 - 2*a**2/11 - 6. Factor w(g).
-2*g*(g + 2)/11
Let d(q) be the first derivative of -q**8/168 + q**7/105 + q**6/60 - q**5/30 + 3*q**2/2 - 1. Let l(p) be the second derivative of d(p). Factor l(m).
-2*m**2*(m - 1)**2*(m + 1)
Let r(u) = 2*u + 2. Let b(z) = z**3 - z**2 + z + 1. Let o(j) = 2*b(j) - r(j). Let o(n) = 0. What is n?
0, 1
Factor -2/9*l**3 + 0 + 0*l**2 + 2/9*l.
-2*l*(l - 1)*(l + 1)/9
Factor -3/4*b**4 - 1/2*b**3 + 0 + 0*b**2 + 0*b - 1/4*b**5.
-b**3*(b + 1)*(b + 2)/4
Let y(p) be the third derivative of -5/48*p**4 + 4*p**2 + 0 + 1/6*p**3 - 7/120*p**5 + 0*p. Suppose y(v) = 0. Calculate v.
-1, 2/7
Let j = 509 - 25449/50. Let m(i) be the second derivative of -j*i**5 + 3*i + 1/30*i**4 + 0*i**3 + 0 + 0*i**2 - 1/75*i**6 + 1/105*i**7. Factor m(y).
2*y**2*(y - 1)**2*(y + 1)/5
Let h(z) = -z**5 - z**4 - z**2. Let r(q) = 20*q**5 + 36*q**4 - 18*q**3 - 32*q**2 + 108*q. Let i(y) = -44*h(y) - 2*r(y). Factor i(b).
4*b*(b - 3)**3*(b + 2)
Let b(a) = 4*a**3 - 27*a**2 - 248*a - 724. Let g(u) = 3*u**3 - 27*u**2 - 247*u - 725. Let j(y) = -4*b(y) + 5*g(y). Factor j(f).
-(f + 9)**3
Let h(u) be the second derivative of 1/5*u**6 + 0 + 0*u**2 + 0*u**3 + 1/6*u**4 - 3/10*u**5 + u - 1/21*u**7. Factor h(g).
-2*g**2*(g - 1)**3
Suppose 0 = v + 2*t + 4, 5*v = v + 4*t + 20. Let c(m) be the first derivative of 4/3*m**v - 2/9*m**3 - 2/3*m**4 + 2/3*m + 4. Factor c(w).
-2*(w - 1)*(w + 1)*(4*w + 1)/3
Let o be 27*(-2 + 62/30). Let h(f) be the first derivative of -7/5*f**4 + 32/15*f**3 + 4/5*f + 1 - o*f**2 - 1/15*f**6 + 12/25*f**5. Factor h(i).
-2*(i - 2)*(i - 1)**4/5
Let f = 3855 + -404779/105. Let n = f - -284/105. Suppose n*z + 4/3*z**3 + 26/9*z**2 + 2/9*z**4 + 8/9 = 0. Calculate z.
-2, -1
Let l(g) be the first derivative of g**6/60 + g**5/6 + 2*g**4/3 + 4*g**3/3 + g**2 - 2. Let r(y) be the second derivative of l(y). Let r(m) = 0. Calculate m.
-2, -1
Let j = -34 + 49. Let o be (-16)/(-18)*j/20. Factor -o*p**2 + 0 + 1/3*p**3 + 2/3*p**4 - 1/3*p.
p*(p - 1)*(p + 1)*(2*p + 1)/3
Factor 5*x**3 - 14*x + 7 - 5 - 6*x - 5*x**2 + 18.
5*(x - 2)*(x - 1)*(x + 2)
Suppose 0 = -2*m + 10 - 6. Factor -3*c**2 + 7*c**2 - 9*c + m + 0*c**2.
(c - 2)*(4*c - 1)
Let l(t) be the second derivative of -1/140*t**5 + 1/42*t**4 + 0*t**2 + 0 + 8*t + 0*t**3. Let l(y) = 0. What is y?
0, 2
Let h(n) = -3*n + 3. Let c be h(-4). Factor 9*k**3 + 96