q + 0*q**3 + 0 - v*q**4 - 2/5*q**5 + 4/5*q**2.
-2*q*(q - 1)*(q + 1)**3/5
Let x(l) be the third derivative of 3*l**8/392 + 8*l**7/245 + 13*l**6/420 + l**5/105 + 24*l**2. Suppose x(b) = 0. What is b?
-2, -1/3, 0
Let l(v) be the first derivative of 5*v**6/14 + 48*v**5/35 + 27*v**4/14 + 8*v**3/7 + 3*v**2/14 - 5. Factor l(o).
3*o*(o + 1)**3*(5*o + 1)/7
Let g be 2 - ((-140)/(-25))/4. Determine z so that 3/5*z**5 + g*z**3 + 9/5*z**4 - 6/5*z + 0 - 9/5*z**2 = 0.
-2, -1, 0, 1
Let g(d) be the second derivative of d**5/20 - d**4/12 + d**3/6 + 3*d**2/2 - 2*d. Let i be g(0). Factor 2*z**2 - 5*z**2 + z**4 + 3 - z**i - 5 + 5*z.
(z - 1)**3*(z + 2)
Let j = 6 + -3. Suppose -4*r**4 + 4*r**3 - 5*r**2 + 2*r**4 + j*r**2 + 0*r**4 = 0. Calculate r.
0, 1
Let p(m) be the second derivative of m**6/180 - m**4/72 + 17*m. Let p(r) = 0. What is r?
-1, 0, 1
Let r(f) = 7*f**4 - f**3 - 7*f**2 + f. Let k(a) = 3*a**4 - 3*a**2. Let t(n) = -10*k(n) + 4*r(n). Factor t(p).
-2*p*(p - 1)*(p + 1)*(p + 2)
Let p be 0/(1 - 21/(-7)). Let 0*y**3 + p + 0*y**2 + 0*y + 2/13*y**5 + 2/13*y**4 = 0. Calculate y.
-1, 0
Let z = -43 - -44. Factor z - 1/2*s**2 - 1/2*s.
-(s - 1)*(s + 2)/2
Let k = 83 + -39. Suppose -k = -5*n + 81. Factor -21*g**2 - 4 - 2*g - g**3 + n*g**4 + 21*g**3 - 18*g.
(g - 1)*(g + 1)*(5*g + 2)**2
Suppose 2 = -4*h - 10, 3*x - 9 = 3*h. Let j(o) be the third derivative of 0*o + 2*o**2 + 0*o**4 - 1/90*o**5 + 0 + x*o**3. Factor j(u).
-2*u**2/3
Let w(s) be the first derivative of 0*s**5 - 4 - 1/9*s**4 + 0*s**3 + 1/27*s**6 + 1/9*s**2 + 0*s. Factor w(h).
2*h*(h - 1)**2*(h + 1)**2/9
Let p = -1914/5 - -384. Determine l so that 4/5 - p*l**2 + 2/5*l = 0.
-2/3, 1
Let u(v) be the second derivative of 0 + 0*v**3 + 0*v**5 - 1/3*v**4 - 2*v + 2/15*v**6 + 0*v**2. Find s such that u(s) = 0.
-1, 0, 1
Let x(k) be the third derivative of 1/27*k**3 + 1/270*k**5 + 1/54*k**4 - 2*k**2 + 0 + 0*k. Factor x(o).
2*(o + 1)**2/9
Let j(t) be the first derivative of t**6/15 + 4*t**5/25 - 4*t**3/15 - t**2/5 + 1. Let j(d) = 0. What is d?
-1, 0, 1
Let l(h) be the third derivative of -h**7/105 + 7*h**6/60 - h**5/2 + 3*h**4/4 + 8*h**2. Find j, given that l(j) = 0.
0, 1, 3
Factor 0 - 2/3*q**2 - 2*q.
-2*q*(q + 3)/3
Let i(a) be the third derivative of 3*a**2 + 0 + 0*a - 1/36*a**4 + 1/90*a**5 - 1/9*a**3 + 1/180*a**6. Factor i(m).
2*(m - 1)*(m + 1)**2/3
Let x(m) = -2*m**4 + 8*m**3 - 4*m - 2. Suppose -5*d - 116 = -d. Let a = d + 20. Let f(r) = -4*r**4 + 17*r**3 - 8*r - 5. Let j(u) = a*x(u) + 4*f(u). Factor j(i).
2*(i - 1)**3*(i + 1)
Let k(x) be the second derivative of 1/21*x**3 - 3*x + 0 + 0*x**4 - 1/70*x**5 + 0*x**2. Suppose k(t) = 0. What is t?
-1, 0, 1
Let l(j) = -12*j**2 + 2*j - 14. Let x(q) = -4*q**2 + q - 5. Let a(c) = -5*l(c) + 14*x(c). Determine b so that a(b) = 0.
-1, 0
Let s(q) be the first derivative of -8*q**3/5 + 2*q**2 + 4*q/5 + 24. What is g in s(g) = 0?
-1/6, 1
Let c be 4 - (-35 - -37)/(32/58). Find g, given that 0*g**3 - c*g**4 + 0 + 0*g + 3/8*g**2 = 0.
-1, 0, 1
Let i be -1*(-3 + -3 + 4). Let y(x) be the second derivative of 0*x**4 + 0*x**i + 1/189*x**7 + 1/90*x**5 + 0 + 2*x - 2/135*x**6 + 0*x**3. Solve y(o) = 0.
0, 1
Let s be (-6 - -5)*(-1 + 1). Let h = 6 - 4. What is j in s - 2/5*j**h - 2/5*j = 0?
-1, 0
Let n(s) be the second derivative of -7*s**6/15 + s**5/5 + 7*s**4/6 - 2*s**3/3 - 4*s. Factor n(o).
-2*o*(o - 1)*(o + 1)*(7*o - 2)
Let i(t) be the first derivative of -t**7/3360 - t**6/480 - t**5/160 - t**4/96 - 5*t**3/3 - 4. Let s(w) be the third derivative of i(w). Factor s(r).
-(r + 1)**3/4
Let z(c) be the third derivative of -c**6/1620 - c**5/90 - c**4/12 - c**3 - 4*c**2. Let f(p) be the first derivative of z(p). Factor f(k).
-2*(k + 3)**2/9
Let t(v) be the second derivative of v**5/10 - v**3/3 + 27*v. Factor t(o).
2*o*(o - 1)*(o + 1)
Let m = -20 + 20. Suppose m = -3*v + 6. Factor 2/3 + 8/3*p**v + 10/3*p.
2*(p + 1)*(4*p + 1)/3
Determine s, given that 4/7*s**4 - 2/7*s**5 + 4/7 + 4/7*s**3 - 8/7*s**2 - 2/7*s = 0.
-1, 1, 2
Let h(r) = r - 3. Let t be h(3). Find i such that -7*i + 6*i**2 + t*i**3 - 3*i**3 - 6 + 10*i = 0.
-1, 1, 2
Suppose 0 = 4*b + s - 28, 4*b = 5*s + 23 + 5. Let m = -7 + b. Suppose m + 2*d - 6*d**4 + 6*d**2 + 4*d - 4*d**3 - 2*d**5 - 2*d**2 + 2 = 0. Calculate d.
-1, 1
Let l(b) be the second derivative of -1/4*b**4 + 6*b - 9/20*b**5 + 0*b**2 - 1/14*b**7 - 3/10*b**6 + 0 + 0*b**3. Determine n so that l(n) = 0.
-1, 0
Let p(y) = 4*y**3 - y**2. Let q be p(1). Let f(v) = v**2 - v - 3. Let m be f(q). Factor 6/13*g**m - 6/13*g**4 + 2/13*g**5 + 0 - 2/13*g**2 + 0*g.
2*g**2*(g - 1)**3/13
Let y(p) = p**3 + 4*p**2 + 4*p + 4. Let f be y(-3). Factor 8 - 15*l + f - 3 - 9*l**2.
-3*(l + 2)*(3*l - 1)
Let b(z) be the third derivative of -z**6/24 + z**5/12 + 5*z**4/12 + 22*z**2. Determine q so that b(q) = 0.
-1, 0, 2
Let u(m) = 9*m**2 + 9*m - 7. Let w = -26 - -12. Let p be ((-6)/(-5))/(2/10). Let g(j) = 4*j**2 + 4*j - 3. Let h(s) = p*u(s) + w*g(s). Let h(d) = 0. Calculate d.
-1, 0
Let h be ((-22)/55)/((-1)/65). Let z = -23 + h. Solve -1/5*d**5 + 2/5*d**z + 0 + 0*d**4 + 0*d**2 - 1/5*d = 0 for d.
-1, 0, 1
Let c(u) be the first derivative of 2*u - 4 + 1/3*u**3 - 3/2*u**2. Factor c(b).
(b - 2)*(b - 1)
Let f = -5 - 1. Let h(c) = -c**3 - 5*c**2 + 6*c + 2. Let w be h(f). Factor 2/5*l - 2/5*l**3 + l**w + 0 - l**4.
-l*(l - 1)*(l + 1)*(5*l + 2)/5
Let l(p) be the third derivative of 0*p + 1/12*p**4 - 1/60*p**6 + 1/105*p**7 + 0*p**3 - 1/30*p**5 + 0 + 5*p**2. Let l(o) = 0. Calculate o.
-1, 0, 1
Let u(w) = -3*w + 14. Let c(v) = 16*v - 69. Let g(x) = 2*c(x) + 11*u(x). Let n be g(16). Factor -2 - 1/2*i**3 + n*i + 3/2*i**2.
-(i - 2)**2*(i + 1)/2
Let v(f) be the third derivative of f**5/12 - 5*f**4/6 + 10*f**3/3 - 9*f**2. Factor v(u).
5*(u - 2)**2
Let v(b) = -b**2 + 3*b - 2. Let q be v(3). Let y be q + (-2 - 22/(-5)). Find u such that -y*u + 0 - 2/5*u**2 = 0.
-1, 0
Let g be 8/12 - (-94)/(-144). Let d = g + 67/360. Determine y, given that d*y**3 + 0*y**2 - 1/5*y + 0 = 0.
-1, 0, 1
Solve -14/3*a**4 + 8/3*a - 16/3*a**2 - 38/3*a**3 + 0 = 0 for a.
-2, -1, 0, 2/7
Let y = -740/7 + 106. Factor y*q**3 - 2/7*q**2 + 2/7 - 2/7*q.
2*(q - 1)**2*(q + 1)/7
Suppose 87 = 5*d + 5*u + 32, -2*d + 2*u = -2. Let j(b) = -b**3 + 5*b**2 + 6*b + 3. Let r be j(d). Determine c, given that -c**r - c + 2*c**2 + 4*c - 4*c = 0.
0, 1
Let o = -6 + 11. Solve 4*d**5 - 4*d**2 - 2*d**o - 4 - 4*d**3 + 3 + 2*d + 3 + 2*d**4 = 0 for d.
-1, 1
Suppose 53/5*w - w**2 + 22/5 = 0. Calculate w.
-2/5, 11
Let n(h) = h - 8. Let d be n(5). Let f = 3 + d. Suppose 2/9 + f*z - 2/9*z**2 = 0. Calculate z.
-1, 1
Let c(j) = -17 - 13*j - 4*j - 15*j**2 - 5*j**2. Let k be (-2 - (0 - 0)) + 8. Let z(x) = 7*x**2 + 6*x + 6. Let g(h) = k*c(h) + 17*z(h). Factor g(a).
-a**2
Let l = -6 - -7. Suppose 0 = 4*a + l - 9. Determine r, given that -4*r + 1 - a*r + 1 - 4*r**2 - 2*r**3 + 10*r**2 = 0.
1
Let j = -11 + 14. Let v be 0*(0 - -2)/(-2). Let -5*a**j + 2*a + 3*a**3 + v*a**3 = 0. Calculate a.
-1, 0, 1
Let b(d) be the third derivative of -d**7/3360 - d**6/1440 + d**5/480 + d**4/96 + 5*d**3/6 + 7*d**2. Let a(h) be the first derivative of b(h). Factor a(l).
-(l - 1)*(l + 1)**2/4
Let k(i) be the third derivative of i**5/120 + i**4/48 + 47*i**2. Factor k(c).
c*(c + 1)/2
Let j be (-21)/(-6) + 6/(-4). Suppose 2 = -j*h - 2*y, y + 7 = h - 0*h. Factor -12/5*p**2 - 8/5*p**h - 2/5 - 2/5*p**4 - 8/5*p.
-2*(p + 1)**4/5
Let a(d) be the third derivative of -d**6/40 + d**5/20 + d**4/8 - d**3/2 - 6*d**2. Factor a(x).
-3*(x - 1)**2*(x + 1)
Let o be ((-3)/(-1) + -3)/1. Let y = o - 0. Find f, given that y - 2/3*f**2 + 2/3*f = 0.
0, 1
Let u(r) be the third derivative of r**7/1260 - r**6/240 + r**5/180 - 17*r**2. Factor u(n).
n**2*(n - 2)*(n - 1)/6
Suppose -g - 4*k + 0 = -10, -g - 2*k + 10 = 0. Let c be 2 - (1 - (-6)/g). Solve 4*f**2 - 4/5 + c*f = 0 for f.
-1/2, 2/5
Let f(m) = 6*m - 20. Let r be f(4). Let w(k) be the third derivative of 0*k**r + 0*k**3 + 0*k**5 + 3*k**2 + 0 + 0*k - 1/60*k**6. Determine g so that w(g) = 0.
0
Determine s so that 6 - 20*s**2 - 1 + 30*s - 15*s = 0.
-1/4, 1
Suppose 2/7*c + 0 + 2/7*c**2 = 0. Calculate c.
-1, 0
Let l(n) be the second derivative of -n**4 + 0*n**2 + 0 + 2/9*n**3 + n - 9/14*n**7 + 2/5*n**6 + 77/60*n**5. Solve l(t) = 0.
-1, 0, 2/9, 1
Let y(i) be the second derivative of i**5/8 + 5*i**4/24 -