 v, given that a(v) = 0.
-1, 1, 2
Let q(y) be the first derivative of -y**3/24 + y**2/8 - y/8 - 11. Suppose q(f) = 0. What is f?
1
Let x(s) = 2*s**2 + s - 1. Let w be 1*(2 + 3 - 3). Let i(h) = h**2 + 2*h - 2. Let l(u) = w*x(u) - 3*i(u). Factor l(b).
(b - 2)**2
Suppose -4*t + 17 = -23. Solve -48*x**4 - 15*x**2 - 5*x**5 - t*x**5 - 54*x**3 - 9*x**2 - 3*x = 0 for x.
-1, -1/5, 0
Let t be (-1 - (-22)/16) + (-45)/(-264). Suppose -16/11*u**2 + 0 - t*u - 4/11*u**4 - 14/11*u**3 = 0. What is u?
-3/2, -1, 0
Factor 6/5*h**3 - 18/5*h**2 + 2/5*h**4 + 2*h + 0.
2*h*(h - 1)**2*(h + 5)/5
Factor -2/9*s - 2/9*s**2 + 0.
-2*s*(s + 1)/9
Let b = -8 - -10. Let 7*f + 4*f**5 - f**4 + 9*f**5 + 2*f**2 - 17*f**3 + b - 3*f**2 - 3*f**5 = 0. Calculate f.
-1, -1/2, -2/5, 1
Solve 2/9*w**3 + 150*w + 750 + 10*w**2 = 0 for w.
-15
Let j(v) = 6*v**2 - 15*v + 24. Let a(l) = l**2 + l - 1. Let g(n) = -3*a(n) + j(n). Factor g(q).
3*(q - 3)**2
Let c(i) be the third derivative of 0*i - i**2 - 1/24*i**4 - 1/60*i**5 + 0 + 0*i**3. Factor c(j).
-j*(j + 1)
Let x = 29 - 19. Let d(h) = 3*h**3 - h**2 + 2*h. Let k(v) = -7*v**3 + v**2 - 4*v. Let j(c) = x*d(c) + 4*k(c). Factor j(r).
2*r*(r - 2)*(r - 1)
Let l(f) = -f**4 - f**3 - f**2 - f - 1. Let v(p) = -p**5 + 4*p**4 + p**3 - 3*p**2 + p + 1. Let k(m) = 3*l(m) + 3*v(m). Factor k(w).
-3*w**2*(w - 2)**2*(w + 1)
Let h be 75/(-594) - 4/(-22). Let n(l) be the first derivative of -h*l**6 + 0*l**3 + 1 - 1/6*l**2 + 1/6*l**4 + 0*l**5 + 0*l. Find z such that n(z) = 0.
-1, 0, 1
Let o(s) be the third derivative of -s**6/180 + s**5/45 - 34*s**2. Factor o(b).
-2*b**2*(b - 2)/3
Factor 1/4*t**2 + 0 + 1/4*t**3 - 1/4*t - 1/4*t**4.
-t*(t - 1)**2*(t + 1)/4
Let c be (0 + 1)/(-4 - (-32 - 2)). Let a(v) be the second derivative of 3*v - c*v**5 + 0*v**6 + 1/63*v**7 + 0*v**4 + 0 + 0*v**2 + 0*v**3. Factor a(q).
2*q**3*(q - 1)*(q + 1)/3
Factor 16/5 + 2/5*c**2 + 12/5*c.
2*(c + 2)*(c + 4)/5
Find r, given that -8/13*r**4 + 40/13*r**3 - 8/13 + 40/13*r - 66/13*r**2 = 0.
1/2, 2
Let o = -70 + 70. Let -3/4*c**2 + 1/4*c + o = 0. What is c?
0, 1/3
Suppose 5*m - 31 = -6. Let o(b) be the first derivative of -1/6*b**6 - 1/2*b**2 + 1 - 4/5*b**m + 0*b - 4/3*b**3 - 3/2*b**4. Factor o(p).
-p*(p + 1)**4
Let j = 1/4 - -1/28. Let m(d) be the first derivative of 2 + 2/21*d**3 + 2/7*d + j*d**2. Determine z so that m(z) = 0.
-1
Let q(p) be the third derivative of p**7/2520 - p**6/240 + p**5/60 + p**4/12 + 3*p**2. Let v(k) be the second derivative of q(k). Factor v(m).
(m - 2)*(m - 1)
Suppose -27*d = -26*d - 3. Let 1/5*m - 1/5*m**d + 0 + 0*m**2 = 0. What is m?
-1, 0, 1
Let c(j) = -j**2 + 20*j + 11. Let p be c(18). Let r = 427/9 - p. Let 0*n**2 + 0*n + 0 - 2/9*n**5 - 2/9*n**3 + r*n**4 = 0. What is n?
0, 1
Let v = -3 + 4. Let r(d) = -d**2 - d. Let a(w) = 4*w**2 + 2*w - 2. Let f(b) = 5*b + 1. Let u be f(1). Let x(q) = u*r(q) + v*a(q). Factor x(i).
-2*(i + 1)**2
Let s(u) be the second derivative of u**7/1155 - u**5/165 + u**3/33 + 3*u**2/2 + 3*u. Let z(k) be the first derivative of s(k). Factor z(b).
2*(b - 1)**2*(b + 1)**2/11
Determine l, given that -11*l**3 + 5*l**5 + 40*l**2 - 25*l + 10*l - 19*l**3 = 0.
-3, 0, 1
Suppose 0*c**3 - 2/5*c**2 + 0*c + 0 + 2/5*c**4 = 0. What is c?
-1, 0, 1
Factor x - 4*x - 18*x**3 + 0*x**2 + 30*x**3 + 9*x**2.
3*x*(x + 1)*(4*x - 1)
Suppose -y - 2*x - 12 = 0, 2*y + x + 7 = y. Let q be ((-7)/56)/(y/4). Factor -q*b + 1/4*b**3 + 1/4*b**2 + 0 - 1/4*b**4.
-b*(b - 1)**2*(b + 1)/4
Let v(r) be the first derivative of -r**4/8 + r**3/2 - 3*r**2/4 + r/2 + 13. Factor v(c).
-(c - 1)**3/2
Suppose 0 = 2*d + 3*d - 10. Factor -22/3*u + 4/3 + 28/3*u**d.
2*(2*u - 1)*(7*u - 2)/3
Let -22 - 9*w**2 + 7*w**2 + 22 = 0. What is w?
0
Let l(u) be the second derivative of 1/36*u**4 - 3*u - 1/3*u**2 + 1/18*u**3 + 0. Factor l(n).
(n - 1)*(n + 2)/3
Suppose i + 31 = 5*w, -3*w + 4*w = -i - 55. Let s(y) = 8*y**3 - 8*y**2 - 25*y - 9. Let h(a) = -a**3 + a**2 + 3*a + 1. Let r(j) = i*h(j) - 6*s(j). Factor r(z).
3*(z - 1)**2*(z + 1)
Let f(m) be the third derivative of -m**7/42 + m**5/4 + 5*m**4/12 - 8*m**2. Factor f(u).
-5*u*(u - 2)*(u + 1)**2
Let b(w) be the second derivative of -4*w + 0*w**2 - 1/60*w**6 + 1/24*w**4 + 1/40*w**5 + 0 - 1/12*w**3. Solve b(l) = 0 for l.
-1, 0, 1
Factor 4*j**3 - 16*j**2 - 499 + 499.
4*j**2*(j - 4)
Suppose -19*m = -14*m. Let v(h) be the second derivative of -h - 1/4*h**2 - 1/60*h**6 + 0*h**3 + 0*h**5 + m + 1/12*h**4. Factor v(s).
-(s - 1)**2*(s + 1)**2/2
Let c(p) be the first derivative of p**6/420 + p**5/105 + p**4/84 - 5*p**2/2 - 5. Let z(u) be the second derivative of c(u). Suppose z(m) = 0. What is m?
-1, 0
Factor -2/7*g**5 + 12/7*g**4 + 0*g**2 + 0*g - 18/7*g**3 + 0.
-2*g**3*(g - 3)**2/7
Factor 3/8*m**2 + 3/4*m + 3/8.
3*(m + 1)**2/8
Let t = 926/5 - 185. Factor 0 - 1/5*r + t*r**3 + 0*r**2.
r*(r - 1)*(r + 1)/5
Let t be (3 - 16/2)*-1. Suppose 0*s - q - 5 = -2*s, 0 = 5*s - q - 17. Suppose s*n**2 - n - 3*n**5 + 3*n + n**t - 4*n**4 = 0. Calculate n.
-1, 0, 1
Factor 3/2 + 1/2*x**2 + 2*x.
(x + 1)*(x + 3)/2
Let l be (-7 + 10)/(6/8). Factor -31*o**2 - 19*o**4 + 8*o**5 + 28*o**2 + 18*o**3 + 4*o**5 - 8*o**l.
3*o**2*(o - 1)**2*(4*o - 1)
Let 0*h - 19*h**3 + 3*h**5 + 3*h + 13*h**3 = 0. Calculate h.
-1, 0, 1
Let t(f) = -3*f**2 - 12*f - 3. Let v(b) = -b**3 + b**2 - b - 1. Let y(a) = -t(a) + 3*v(a). Suppose y(n) = 0. Calculate n.
-1, 0, 3
Suppose 5*f + 4*p = 29, -3*f + 3*p + 0*p = -12. Factor -j + j + 9*j**4 - 9*j**2 + 3*j**3 - 6*j + 3*j**f.
3*j*(j - 1)*(j + 1)**2*(j + 2)
Let r be (-8)/(-14) + (-18)/7 + 2. Find y, given that r - 10/3*y**2 - 2/3*y = 0.
-1/5, 0
Let o = 153/20 + -29/4. Let x(q) = q + 2. Let c be x(0). Factor 8/5 - 8/5*s + o*s**c.
2*(s - 2)**2/5
Let h(y) be the third derivative of 0*y**5 + 1/420*y**7 - 3*y**2 + 0*y + 0 - 1/480*y**6 - 1/1344*y**8 + 0*y**4 + 0*y**3. Suppose h(j) = 0. What is j?
0, 1
Let u be 4 + (0/4)/(-1). Let d be -2*(-28)/(-16) + u. Let d*i**2 + 0 + 0*i + 2*i**3 + 3/2*i**4 = 0. What is i?
-1, -1/3, 0
Let i(j) be the first derivative of 3/4*j**4 + 1/2*j**2 + 1 - 1/5*j**5 + 0*j - j**3. What is b in i(b) = 0?
0, 1
Let z = 1666/5 - 333. Factor 1/5*g**5 + 0*g - 1/5*g**4 + 0 - z*g**3 + 1/5*g**2.
g**2*(g - 1)**2*(g + 1)/5
Let d(c) be the second derivative of c**7/14 - 2*c**6/15 - 7*c**5/10 - c**4/3 + c**3/2 + 16*c. Solve d(s) = 0.
-1, 0, 1/3, 3
Determine m so that -6/5*m**2 + 0*m + 8/5 - 2/5*m**3 = 0.
-2, 1
Suppose -4*x + 5*y + 8 = 0, x - 2*y + 2 - 7 = 0. Let n be (4 + -3)*(-6)/x. Factor 4/9*t + 2/9*t**n + 0.
2*t*(t + 2)/9
Suppose 4*x - 3*x = -3*l + 2259, -x = 3. Let y = 6796/9 - l. Determine h so that -4/9 + 14/9*h**2 + y*h = 0.
-1, 2/7
Suppose 6*z - 2 - 16 = 0. Let w(l) be the third derivative of 1/12*l**4 + 0 + 1/30*l**5 + 0*l**z + l**2 + 0*l. Factor w(c).
2*c*(c + 1)
Let u be (-6)/(120/(-68)) + (-2)/5. Determine c so that 7/4*c**u + 0 - 5/4*c**5 - 1/2*c - 3/4*c**4 + 3/4*c**2 = 0.
-1, 0, 2/5, 1
Factor 2/5*i**3 - 4/5*i**2 + 0*i + 0.
2*i**2*(i - 2)/5
Let y(n) be the second derivative of -1/21*n**7 - 1/15*n**6 + 0*n**2 + 6*n + 0*n**3 + 1/6*n**4 + 0 + 1/10*n**5. Solve y(g) = 0.
-1, 0, 1
Suppose 4/7*i**4 + 0 + 0*i + 0*i**3 - 4/7*i**2 = 0. Calculate i.
-1, 0, 1
Let r(b) be the first derivative of -5*b**3/3 - 5*b**2 - 5*b - 9. Factor r(o).
-5*(o + 1)**2
Let u = 46 - -34. Let b be 4/3*24/u. Factor 0*z**3 + b*z**2 - 1/5*z**4 - 1/5 + 0*z.
-(z - 1)**2*(z + 1)**2/5
Let m(y) = y**3 + 6*y**2 + 4*y - 2. Let n be m(-5). Let f = -837 + 837. Find a such that 0*a**2 + 0 - 3/2*a**n + f*a - 3/2*a**4 = 0.
-1, 0
Suppose 4*o + 4 = 24. Suppose 3*j = -4*m + 27, -5*m - o*j + 10*j = 10. Determine w, given that w**2 - 2*w**5 + 0*w**2 + 2*w**4 - 3*w**2 + 2*w**m = 0.
-1, 0, 1
Let x(m) = -7*m**2 + 16*m - 13. Let q(u) = 8*u**2 - 16*u + 12. Let z(b) = -3*q(b) - 4*x(b). Find l such that z(l) = 0.
2
Let s(m) be the third derivative of m**8/784 + 2*m**7/245 + 3*m**6/140 + m**5/35 + m**4/56 - 3*m**2. What is i in s(i) = 0?
-1, 0
Let s(x) = -2*x**2 - 10*x - 3*x**2 + 9 - 4*x**3 - 3*x**2 + 5*x**3. Let a be s(9). Factor a - 2/9*o**2 + 2/9*o.
-2*o*(o - 1)/9
Let z = 13 + -14. Let p be (-3)/(1 - (z + 3)). Factor 8/9 - 2/3*s**2 + 0*s + 2/9*s**p.
2*(s - 2)**2*(s + 1)/9
Let h be (-6)/8 + 31/20. Let g(n) = n**3 + 10*n**2 - 2*n - 20. Let s be g(-10). What is f in -h*f**2 + 2/5*f + s + 2/5*f**3 = 0?
0, 1
Let z(l) = 2*l**3