) = 0. What is q?
-2, 0, 2
Let d be (10 + 1 - 3) + 0. Let i(q) be the first derivative of 8*q - 10/3*q**3 - d*q**2 - 2. Determine v, given that i(v) = 0.
-2, 2/5
Let o = 1 - -5. Suppose 0 = w - o. Factor -6*g**2 + g**2 - 2*g - w*g**3 - g**2 - 2*g**4.
-2*g*(g + 1)**3
Let o(n) be the first derivative of -3*n**3/4 + 33*n**2/4 - 21*n/4 + 4. Factor o(c).
-3*(c - 7)*(3*c - 1)/4
Let l(t) be the third derivative of t**5/60 - t**4/24 - t**3/3 - t**2. Determine g, given that l(g) = 0.
-1, 2
Let x(w) be the third derivative of 0 + 1/80*w**5 - 7*w**2 + 0*w**4 + 0*w**3 + 0*w. Determine b so that x(b) = 0.
0
Let a(z) = z**2 - z - 8. Let b be a(-3). Let x(c) be the second derivative of 1/20*c**5 - c + 0*c**2 + 1/18*c**3 + 1/90*c**6 + 1/12*c**b + 0. Factor x(d).
d*(d + 1)**3/3
Determine p, given that 0*p**2 - 3 + 0*p**2 + 3*p**2 = 0.
-1, 1
Let c(g) be the first derivative of -2/45*g**3 - 2/25*g**5 - 3 + 0*g**2 + 0*g + 1/45*g**6 + 1/10*g**4. Factor c(u).
2*u**2*(u - 1)**3/15
Let h(z) be the first derivative of z**4 - 4*z**3/3 - 4*z**2 - 9. Factor h(c).
4*c*(c - 2)*(c + 1)
Suppose 4*y + y - 10 = 0. Find u, given that -2*u - u**2 + u**3 + 0*u + 3*u**2 - y + u**3 = 0.
-1, 1
Let l(c) be the third derivative of c**6/120 - c**5/20 + c**4/8 - c**3/6 + 8*c**2. Find y, given that l(y) = 0.
1
Let p(l) = -l**3 - 10*l**2 - 9*l + 6. Let a be p(-9). Suppose 3*k = -0*k + a. Find i, given that 250/7*i**4 + 0 + 300/7*i**3 + 16/7*i + 120/7*i**k = 0.
-2/5, 0
Factor -t**5 + t**3 + 19*t + 3*t**4 + t**2 - 4*t**4 - 19*t.
-t**2*(t - 1)*(t + 1)**2
Let b(h) be the first derivative of -10*h**6/3 + 32*h**5/5 + 4*h**4 + 61. Factor b(a).
-4*a**3*(a - 2)*(5*a + 2)
Let a(x) = -x**3 - 8*x**2 - 7*x + 3. Let z(r) = -r**3 - 5*r**2 - 2*r + 1. Let c be z(-4). Let l be a(c). Factor d**4 + 0*d**2 + 3*d**2 + d**l + d + 2*d**3.
d*(d + 1)**3
Suppose -m + 5*f - 4 = 0, 1 = 5*m - 6*f + 2*f. Let z = 3 - m. Solve -6*t**3 - 4*t**z - t**4 - t**5 - t - 2*t**4 - t**4 = 0 for t.
-1, 0
Let f(j) = 5*j**4 + 8*j**3 + 13*j**2 + j. Let m(q) = 14*q**4 + 24*q**3 + 38*q**2 + 4*q. Let s(x) = 8*f(x) - 3*m(x). Solve s(v) = 0 for v.
-2, -1, 0
Let b(x) be the first derivative of -4*x**3/3 + 2*x**2 + 8*x - 4. Find p, given that b(p) = 0.
-1, 2
Solve -1/2*c**3 - 1/2 - 3/2*c**2 - 3/2*c = 0.
-1
Let c(n) = n**3 - 11*n**2 + 13*n - 25. Let s be c(10). Find j, given that -10/9*j**3 + 10/9*j**s + 0 - 4/9*j**2 + 0*j + 4/9*j**4 = 0.
-1, -2/5, 0, 1
Factor 5*p**2 + p**5 - 1 - p - 3*p**2 + 1 - 2*p**4.
p*(p - 1)**3*(p + 1)
Let g be 12/(-48) - ((-42)/8 + 2). Let z(x) be the third derivative of 0*x**g + 0 + 0*x + 3*x**2 - 1/72*x**4 + 1/180*x**5. Factor z(p).
p*(p - 1)/3
Let h = -3/25 - -37/100. Let r(c) be the first derivative of 0*c**3 + 1/2*c**2 + 0*c - h*c**4 - 1. Determine j, given that r(j) = 0.
-1, 0, 1
Let h(b) be the first derivative of -b**6/60 + b**5/45 + b**4/36 + 3*b**2/2 + 2. Let d(c) be the second derivative of h(c). Factor d(v).
-2*v*(v - 1)*(3*v + 1)/3
Suppose 22*d = 19*d. Let z(t) be the second derivative of d*t**3 - 1/12*t**4 + 0 - 2*t + 0*t**5 + 1/30*t**6 + 0*t**2. Let z(u) = 0. What is u?
-1, 0, 1
Let m(l) be the first derivative of -l**6/3 + 12*l**5/5 - 4*l**4 - 4*l**3 + 9*l**2 - 1. Determine a, given that m(a) = 0.
-1, 0, 1, 3
Let i(l) = -3*l**3 + 28*l**2 + 5*l - 32. Let o(r) = r**3 - r**2 - 1. Let v(g) = i(g) - 2*o(g). Factor v(n).
-5*(n - 6)*(n - 1)*(n + 1)
Let m(x) be the first derivative of -2*x**5/95 - 3*x**4/38 - 2*x**3/19 - x**2/19 + 3. Factor m(b).
-2*b*(b + 1)**3/19
Find u such that 5*u - 296 - 5*u**3 + 296 = 0.
-1, 0, 1
Suppose 22 = -3*h + 19. Let m be (-1 - h)/(-5 - -2). Suppose -2/5*y**5 + 1/5*y**3 + m + 1/5*y + 3/5*y**4 - 3/5*y**2 = 0. Calculate y.
-1, 0, 1/2, 1
Let d = -27 + 16. Let a be (0 - -2) + 0/d. Solve -9/4*f**4 + 0*f + 0 - 1/4*f**a - f**5 - 3/2*f**3 = 0.
-1, -1/4, 0
Solve -2/5*f**2 - 4/5 - 6/5*f = 0.
-2, -1
Let b = 5 + 5. Let m be b/(-6)*(-4)/5. What is t in 2/3 + 2/3*t**2 - m*t = 0?
1
Let p(b) be the first derivative of -2*b**5/5 + b**4/2 + 2*b**3 - b**2 - 4*b + 4. Factor p(d).
-2*(d - 2)*(d - 1)*(d + 1)**2
Suppose t + 3*x - 12 = 0, 0 = 3*t + 3*x - 19 + 1. Solve 2/5*v**2 - 2/5 - 2/5*v**t + 2/5*v = 0.
-1, 1
Let z(v) = 11*v**2 - 5*v + 11. Let b(u) = 7*u**2 - 2*u + 7. Let w(s) = s**2 + 1. Let y(t) = -b(t) + 2*w(t). Let d(f) = 9*y(f) + 4*z(f). Factor d(m).
-(m + 1)**2
Let x = 1609/5 - 321. Find q, given that -x*q**3 + 0 - 2/5*q**2 - 2/5*q**4 + 0*q = 0.
-1, 0
Let v(l) = l**2 + 2*l + 1. Let x be v(-3). Let y(d) be the third derivative of 1/6*d**3 + 1/48*d**x + d**2 + 0 - 1/240*d**6 - 1/60*d**5 + 0*d. Factor y(f).
-(f - 1)*(f + 1)*(f + 2)/2
Let n(h) be the first derivative of h**3 + 3*h**2 - 7. Solve n(a) = 0.
-2, 0
Let w(m) be the third derivative of 3*m**7/140 - 7*m**6/40 + 2*m**5/5 - m**4/8 - 3*m**3/4 - 13*m**2. What is p in w(p) = 0?
-1/3, 1, 3
Let x(a) = -a**3 - 7*a**2 + 6*a - 11. Let r be x(-8). Let w be r + (-1 + 0)*1. Factor 4*f**2 - 2*f**2 - w*f + 0*f**2.
2*f*(f - 2)
Let p(m) be the third derivative of m**6/360 - m**5/120 + 2*m**3/3 + 3*m**2. Let f(z) be the first derivative of p(z). Find k such that f(k) = 0.
0, 1
Let a(h) be the second derivative of 1/8*h**3 + 3*h + 1/10*h**6 + 0 + 9/40*h**5 + 1/4*h**4 + 0*h**2 + 1/56*h**7. Find d such that a(d) = 0.
-1, 0
Let i(u) = 5*u**4 + 6*u**3 - 5*u**2 - 4*u - 2. Let s(t) = 6*t**4 + 6*t**3 - 6*t**2 - 3*t - 3. Let f(v) = -3*i(v) + 2*s(v). Factor f(x).
-3*x*(x - 1)*(x + 1)*(x + 2)
Let b be (9 - 10)/((-1)/2). Suppose 29 - 4*y**b - 29 + 2*y**3 = 0. Calculate y.
0, 2
Let l(p) = 2*p**2 - p - 1. Let f be l(-1). Find x, given that -x**2 + 3*x**f + x**2 = 0.
0
Let h(c) be the second derivative of 0 - 1/147*c**7 + 1/105*c**6 - 1/42*c**4 + 0*c**2 + 1/70*c**5 + 0*c**3 + 3*c. Suppose h(t) = 0. Calculate t.
-1, 0, 1
Let k(x) = -x**2. Let s(j) = 2*j**2 + 2*j**2 - 5*j**2 - j**2. Let i(y) = -3*k(y) + 2*s(y). Solve i(r) = 0 for r.
0
Let f(m) be the third derivative of -m**8/30240 + m**7/5670 - m**6/3240 + m**4/12 + 2*m**2. Let x(d) be the second derivative of f(d). What is q in x(q) = 0?
0, 1
Factor -2/5*s**3 + 0 - 4/5*s**2 + 0*s.
-2*s**2*(s + 2)/5
Let d(t) be the second derivative of -t**8/42 + t**7/15 - t**6/30 - t**5/30 + t**2 + t. Let x(u) be the first derivative of d(u). Factor x(y).
-2*y**2*(y - 1)**2*(4*y + 1)
Let r = -9 - -10. Let u be (1 - r) + (-15)/(-30). Determine s, given that 3/2*s**3 + u*s**4 + 3/2*s**2 + 1/2*s + 0 = 0.
-1, 0
Let c(r) = r**3 + 5*r**2 - 7*r - 4. Let z be c(-6). Let j be (-32)/(-6)*3/2. Factor -2*x**2 + 5*x**3 + 2*x**4 + z*x**5 + x**3 - j*x**3.
2*x**2*(x - 1)*(x + 1)**2
Let g = 173/77 + -20/11. Factor 0*a + 3/7*a**2 - g.
3*(a - 1)*(a + 1)/7
Let j(q) = 3*q**3 + 3*q**2 + 3*q - 3. Let l(s) = s**5 + s**4 - 4*s**3 - 2*s**2 - 2*s + 2. Let w(v) = -2*j(v) - 3*l(v). Factor w(t).
-3*t**3*(t - 1)*(t + 2)
Let v(b) be the third derivative of 0*b**4 - 1/735*b**7 + 1/420*b**6 + 0*b**3 - 1/1176*b**8 + b**2 + 1/210*b**5 + 0*b + 0. Factor v(a).
-2*a**2*(a - 1)*(a + 1)**2/7
Suppose 3*r + 30 = 8*r. Let l be 6/15 - r/15. Find k such that l + 2/11*k**4 - 4/11*k**3 + 0*k + 2/11*k**2 = 0.
0, 1
Let r(c) be the second derivative of -c**5/180 - 3*c**2/2 - 3*c. Let g(t) be the first derivative of r(t). Suppose g(d) = 0. Calculate d.
0
Let p(n) be the third derivative of -n**8/40320 + n**5/30 + 3*n**2. Let k(u) be the third derivative of p(u). Suppose k(v) = 0. What is v?
0
Suppose -2 = -y, 4 = 2*i + 3*i - 3*y. Factor 0*s + 1/2 - 1/2*s**i.
-(s - 1)*(s + 1)/2
Let s(f) be the second derivative of -f**5/10 + f**4/6 + 2*f**3/3 + 6*f. Find n such that s(n) = 0.
-1, 0, 2
Let s(d) be the third derivative of -d**6/360 - d**5/120 - d**3/3 + 3*d**2. Let w(f) be the first derivative of s(f). Find p, given that w(p) = 0.
-1, 0
Let x = -8/23 - -86/115. Let 1/5 - x*f + 1/5*f**2 = 0. Calculate f.
1
Let f(r) = -2*r**2 - 9*r. Let s(y) = -6*y**2 - 26*y. Let i(u) = -8*f(u) + 3*s(u). Find t such that i(t) = 0.
-3, 0
Let f = 8 - 6. Let 3*w - w - w**2 - 3*w**2 + 1 + 5*w**f = 0. Calculate w.
-1
Let m(r) = -4*r**3 + r + 1. Let u be m(-1). Suppose -n + u = n. Determine a so that 2/5*a**n + 2/5*a**3 + 0*a + 0 = 0.
-1, 0
Find d such that 11 + 79*d + 8 + 13 + 40*d**2 - 11*d + 4*d**3 = 0.
-8, -1
Find r such that -4/3*r - 4*r**2 - 7/3*r**5 + 11/3*r**3 + 4*r**4 + 0 = 0.
-1, -2/7, 0, 1, 2
Let y be 