+ 1. Determine b, given that y(b) = 0.
-1, -1/2, 1
Let d(l) = 3*l**2 - 3*l - 8. Let b(h) = 3*h**2 - 3*h - 9. Let u(v) = 2*b(v) - 3*d(v). Factor u(z).
-3*(z - 2)*(z + 1)
Let w(c) be the third derivative of c**5/20 + 5*c**4/8 + c**2. What is n in w(n) = 0?
-5, 0
Determine c, given that -1/11*c**4 + 0*c**3 + 0 + 1/11*c**2 + 0*c = 0.
-1, 0, 1
Let h(u) be the first derivative of -6*u**5/5 - 5*u**4 - 6*u**3 - 2*u**2 + 4. Solve h(j) = 0.
-2, -1, -1/3, 0
Solve 0*y + 1/2*y**4 + 0 + 3/4*y**5 - 1/4*y**3 + 0*y**2 = 0.
-1, 0, 1/3
Let j = 16 + -13. Suppose -1/2*o + 9/4*o**2 - 7/4*o**j + 0 = 0. What is o?
0, 2/7, 1
Let v(y) be the first derivative of -y**4/6 - 8*y**3/9 - y**2 + 13. Determine a so that v(a) = 0.
-3, -1, 0
Let v = -83 - -86. What is u in -1/5 - 4*u**v - 4/5*u**5 + 2*u**2 + 0*u + 3*u**4 = 0?
-1/4, 1
Let c(n) be the third derivative of n**8/168 - 2*n**7/105 - n**6/60 + n**5/15 - 13*n**2. Let c(g) = 0. Calculate g.
-1, 0, 1, 2
Factor 4 + 4*i**4 - 5 + 1 - 4*i**3.
4*i**3*(i - 1)
Let i = 1 + 0. Let b be 12*-1*i/(-3). Factor 2*u**3 + 4*u - 2*u**5 - b*u.
-2*u**3*(u - 1)*(u + 1)
Let z(j) = 5*j**2 - 13*j + 3. Let h = 10 + -4. Let k(o) = -4*o**2 + 12*o - 2. Let d(x) = h*z(x) + 7*k(x). Factor d(r).
2*(r + 1)*(r + 2)
Let u(l) be the second derivative of 1/50*l**5 + 0*l**6 - 3*l - 1/30*l**3 + 0*l**4 - 1/210*l**7 + 0 + 0*l**2. Solve u(g) = 0 for g.
-1, 0, 1
Suppose -4*x - 4*m = -16, -x + 18 = -2*m - 1. Factor 4 + 5*n - 10 + 2*n - 22*n + x*n**2.
3*(n - 2)*(3*n + 1)
Let c(n) be the third derivative of -3*n**8/280 + 4*n**7/105 - 13*n**6/300 + n**5/75 - 12*n**2. Factor c(h).
-2*h**2*(h - 1)**2*(9*h - 2)/5
Suppose -v = -3*w + 15, 0 = 4*v - 2*w + 7 + 3. Suppose 0 = a + 4, v = t - a + 2*a + 1. Find q such that 2*q + 4*q**t + q**2 - 4*q**2 + q**4 - 4*q**3 = 0.
-2, 0, 1
Let p(j) = 5*j**2 + j**2 - 28*j + 7 + 6 + 6*j**2. Let b(o) = 25*o**2 - 55*o + 25. Let g(v) = -4*b(v) + 7*p(v). Factor g(m).
-(4*m - 3)**2
Let j(i) be the third derivative of i**6/180 - i**5/90 - i**4/36 + i**3/9 - 7*i**2. Factor j(n).
2*(n - 1)**2*(n + 1)/3
Let i(c) = -c**2 + 1. Let f(j) = -12*j**2 - 12*j + 10. Let p(n) = f(n) - 10*i(n). Find q such that p(q) = 0.
-6, 0
Let b(l) be the third derivative of -1/120*l**5 + 8*l**2 + 0*l - 1/24*l**4 + 0*l**3 + 0. Factor b(r).
-r*(r + 2)/2
Let w(y) be the first derivative of 0*y**2 - 3*y + 1/24*y**3 + 1/48*y**4 + 3. Let d(x) be the first derivative of w(x). Determine t so that d(t) = 0.
-1, 0
Let r(t) = -11*t**2 - 2*t - 3. Let o = 7 + -12. Let v(w) = -7*w**2 - w - 2. Let j(a) = o*r(a) + 8*v(a). Factor j(k).
-(k - 1)**2
Suppose 10 = 7*h - 2*h. Determine j so that 16*j**3 + 3*j**4 + 24*j**2 + 5*j**4 + h + 2 + 16*j - 4*j**4 = 0.
-1
Factor 3*p**2 + 24*p - 6*p**2 - 41 + 5.
-3*(p - 6)*(p - 2)
Let x(q) be the third derivative of -q**7/105 + q**6/10 - 13*q**5/30 + q**4 - 4*q**3/3 - 7*q**2. Solve x(i) = 0 for i.
1, 2
Factor 0 - 6/5*h - 2/5*h**2.
-2*h*(h + 3)/5
Suppose a = -0 + 3. Factor -92*r**3 + 3*r**4 + 3 - 6*r**2 + 92*r**a.
3*(r - 1)**2*(r + 1)**2
Let f(p) be the third derivative of 0 + 0*p + 1/6*p**3 + 0*p**6 - 1/30*p**5 + 1/210*p**7 - 6*p**2 + 0*p**4. Determine b so that f(b) = 0.
-1, 1
Let z be 2*3/6 + 3. Suppose -19*m**4 + 4*m**3 + 6 + 2*m**2 - 33*m + 29*m**3 + 19*m**2 - 8*m**z = 0. What is m?
-1, 2/9, 1
Let w = 49 + -46. Let s(l) be the third derivative of 7/180*l**6 + 4*l**2 - 1/36*l**4 + 0*l + 4/315*l**7 + 0 + 1/45*l**5 + 0*l**w. Solve s(c) = 0.
-1, 0, 1/4
Let t = 734/3 - 242. Let k(s) be the first derivative of -1/24*s**6 - 3/2*s**4 - 1 + 2/5*s**5 - 2*s**2 + t*s**3 + 0*s. Let k(m) = 0. What is m?
0, 2
Let h = -17 - -83/3. Factor -8/3 + 6*b**3 - 14*b**2 + h*b.
2*(b - 1)*(3*b - 2)**2/3
Suppose -3*q = -8*q - c + 6, -2*c = 8. Suppose -6/7*w + 2/7*w**5 - 6/7*w**4 + 4/7*w**q + 2/7 + 4/7*w**3 = 0. Calculate w.
-1, 1
Let v(h) = h**2 + 2*h - 5. Let r(n) = -n**2 + 7*n + 4. Let d be r(8). Let t be v(d). Suppose -2/3 - 2*x**2 + 2*x + 2/3*x**t = 0. What is x?
1
Let h be 174/70 - ((-116)/20 + 6). What is i in h - 24/7*i - 52/7*i**2 + 30/7*i**3 = 0?
-2/3, 2/5, 2
Let u(m) = -13*m**2 - 7*m - 1. Let g be (14/4)/((-1)/(-2)). Let o(p) = 6*p**2 + 3*p. Let h(i) = g*o(i) + 3*u(i). Let h(f) = 0. Calculate f.
-1, 1
Let l be (-10)/(-50) + 4/30. Solve l*o**2 + 1/3*o**3 - 1/3 - 1/3*o = 0.
-1, 1
Let s(x) be the second derivative of -21*x**5/20 + x**4/2 + 7*x**3/2 - 3*x**2 - 9*x. Factor s(f).
-3*(f - 1)*(f + 1)*(7*f - 2)
Let b be (12/16)/(9/8). Solve -1/3*h**4 + 1/3*h**5 + 2/3*h**2 - b*h**3 - 1/3 + 1/3*h = 0 for h.
-1, 1
What is w in 27*w**2 - 24*w**2 - 3*w**4 + 5*w**3 - 3*w**5 - 2*w**3 = 0?
-1, 0, 1
Let l(v) be the second derivative of 4*v**7/231 - 3*v**6/55 + 3*v**5/55 - v**4/66 - 9*v. What is i in l(i) = 0?
0, 1/4, 1
Let j(x) be the first derivative of -x**3 - 3*x**2/2 - 2. Factor j(u).
-3*u*(u + 1)
Let m(y) = -4*y**2 + 14*y - 6. Let b(j) = 4*j**2 - 13*j + 5. Let t(g) = 6*b(g) + 5*m(g). Factor t(c).
4*c*(c - 2)
Let -25*k**3 - 32 + 14*k**3 - 80*k - 2*k**4 - 9*k**3 - 66*k**2 = 0. What is k?
-4, -1
Factor -3*k**3 + 9*k**2 + 3*k + 6 - 10*k**2 - 5*k**2.
-3*(k - 1)*(k + 1)*(k + 2)
Let q(j) be the second derivative of -j**4/3 + 12*j**3 - 162*j**2 + 5*j + 8. Let q(w) = 0. Calculate w.
9
Find m such that -2 + 5*m - m**3 + m**4 + m**2 - 6*m**2 + 6*m**2 - 4*m**2 = 0.
-2, 1
Suppose -z - 2 = -2*z. Factor 4*a**3 + 2 + 6*a - a - 3*a**3 + 4*a**z.
(a + 1)**2*(a + 2)
Suppose -3*d + 6 = -d. Factor 4*v**3 - 7*v**d + 5*v**2 + v**5 - 7*v**2.
v**2*(v - 2)*(v + 1)**2
Factor -2/17*c**3 + 2/17*c + 2/17*c**2 - 2/17.
-2*(c - 1)**2*(c + 1)/17
Let g(d) = 15*d. Let r be g(-1). Let v be (r/9 - -2)*3. Let -8*i + 45/4*i**2 + v + 81/4*i**3 = 0. What is i?
-1, 2/9
Let s be -1 + ((-3)/(-12) - 25/(-12)). Suppose 49/3*h**2 - 28/3*h + s = 0. Calculate h.
2/7
Suppose -2*t + 0*t + 8 = 0. Let f be t/(-2 + 3 + 1). Determine b so that -2 + 2*b**f + 2*b - 8*b + 2*b**3 + 4*b = 0.
-1, 1
Suppose -5*j + 55 = -5*p, -2*p = 3*p - 2*j + 52. Let t be 0/(p/(3 + 2)). Factor 0 - 2/5*d**2 + t*d.
-2*d**2/5
Let a(b) = -2*b**3 - b**2 - b - 1. Let d be a(-2). Let p = d + -10. Factor -2/7*f**p - 2/7*f**4 + 0 + 0*f + 0*f**2.
-2*f**3*(f + 1)/7
Factor 0*p**2 + p**3 + 1/2 - 1/2*p**4 - p.
-(p - 1)**3*(p + 1)/2
Let g = 131/18 + -29/4. Let s(p) be the third derivative of 1/180*p**6 + 0 + 0*p + 1/630*p**7 + 0*p**5 - g*p**4 - 2*p**2 - 1/18*p**3. Factor s(b).
(b - 1)*(b + 1)**3/3
Let h(o) = -o**3 - o**2 + 11*o + 11. Let v be h(-1). Find c such that 3/5*c**2 - 2/5*c - 1/5*c**3 + v = 0.
0, 1, 2
Let p(n) = 10*n**3 - 10*n**2 + 14. Let k(w) = -2*w**3 + 2*w**2 - 3. Let s(r) = 14*k(r) + 3*p(r). Factor s(u).
2*u**2*(u - 1)
Factor -o + 0*o**4 + 28*o**3 + 4*o**4 + 37*o + 0*o**4 + 60*o**2.
4*o*(o + 1)*(o + 3)**2
Let -14/5*z + 12/5*z**3 + 4/5*z**2 - 2*z**4 + 2/5*z**5 + 6/5 = 0. Calculate z.
-1, 1, 3
Let j be 3/(-1) + 1*10. Let v(l) be the third derivative of 1/525*l**j - 1/300*l**6 + 0 + 0*l**4 - 2*l**2 + 0*l**5 + 0*l + 0*l**3. Factor v(n).
2*n**3*(n - 1)/5
Let z(p) be the first derivative of -p**4/16 - 7*p**3/12 - 2*p**2 - 3*p - 13. Suppose z(m) = 0. Calculate m.
-3, -2
Let i(g) be the third derivative of -g**8/672 + g**6/120 - g**4/48 + 11*g**2. Suppose i(x) = 0. What is x?
-1, 0, 1
Let g be 260/104 - 11/10. Factor 4/5*d**3 - 1/5 + 2/5*d + g*d**2.
(d + 1)**2*(4*d - 1)/5
What is h in -2/7*h**2 + 0*h + 0 = 0?
0
Let d(h) = -h**3 + 5*h**2 + 2. Let r be (0 + -4)*25/(-20). Let i be d(r). Factor -2*y**5 + 2*y + 0*y**i + 0*y + 4*y**2 - 4*y**4.
-2*y*(y - 1)*(y + 1)**3
Let k be (-22)/(-55)*(-10)/(-2). Let a = -1 + 3. Solve 2*n**a + 1 - 2*n**k - n**2 = 0 for n.
-1, 1
Let i(y) be the third derivative of y**7/210 - y**6/180 - y**5/60 + y**4/36 + 26*y**2. Determine l, given that i(l) = 0.
-1, 0, 2/3, 1
Let q**4 + 2*q**4 - 3*q + 4*q**2 + 0*q**4 - 7*q**2 + 3*q**3 = 0. Calculate q.
-1, 0, 1
Let y be 4/10 - (-18)/5. Suppose 0*l = 2*l - y. Factor 3*r**4 - 2*r**4 - 3*r + r**3 - r**2 + l*r.
r*(r - 1)*(r + 1)**2
Let l = -16 - -13. Let y(u) = -12*u**3 + 144*u**2 - 568*u + 776. Let k(h) = -4*h**3 + 48*h**2 - 189*h + 259. Let f(i) = l*y(i) + 8*k(i). Factor f(a).
4*(a - 4)**3
Let h = 66847272/305 - 219171. Let q = h - -1/61. Find g such that -q - 4/5*g - 2/5*g**2 = 0.
-1
Let x(v) = v**2 + 3*v. Let l be ((-6)/(-4))/(6/(-16)). Let n be x(l). Let -15*h**2 - n*h**3 - 6*h + 3*h**3 - 8*h**3