-5) - (-16)/10. Let d(n) be the second derivative of -x*n + 0*n**3 - 1/15*n**6 + 0*n**2 + 0 + 1/28*n**7 + 1/40*n**5 + 0*n**4. Factor d(v).
v**3*(v - 1)*(3*v - 1)/2
Factor -2/3*i**5 + 0*i + 2*i**3 + 0*i**4 + 0 + 4/3*i**2.
-2*i**2*(i - 2)*(i + 1)**2/3
Let s(o) = -o**2 - 6*o - 2. Let m(y) = y**2 + 6*y + 3. Let t(w) = 7*m(w) + 6*s(w). Determine b so that t(b) = 0.
-3
Let g(f) = f**2 + 3*f + 2. Let o be g(-3). Factor 2*j**4 - j**o - j**2 - 2*j**2 - 1 + 3.
2*(j - 1)**2*(j + 1)**2
Let n(t) = t**2 + 6*t - 6. Let i be n(-5). Let c = i - -13. Suppose 2/11*v - 2/11 + 6/11*v**c - 4/11*v**4 - 2/11*v**3 = 0. Calculate v.
-1, 1/2, 1
Suppose -12 = -5*x - 2*m + 8, -4*m = x - 22. Solve -1/8*f**x + 0*f + 0 + 1/8*f**3 = 0.
0, 1
Suppose 19 = 10*v - 1. Determine w so that 18*w**v + 3/2 - 45/4*w + 12*w**3 = 0.
-2, 1/4
Let u(v) be the third derivative of v**7/1680 - v**6/480 - v**5/40 - 5*v**4/12 + v**2. Let w(k) be the second derivative of u(k). Let w(f) = 0. What is f?
-1, 2
Suppose 17*u = 14*u + 6. Find l such that 0*l**u - 2/7*l**3 + 0*l + 0 + 2/7*l**4 = 0.
0, 1
Let j(r) be the first derivative of -r**6/57 + 2*r**5/95 + r**4/19 - 4*r**3/57 - r**2/19 + 2*r/19 - 7. Let j(v) = 0. What is v?
-1, 1
Let h(o) = 2*o**3 - 4*o**2 - 4*o. Let z(p) = 6*p**3 - 13*p**2 - 13*p - 1. Let k(c) = 7*h(c) - 2*z(c). Let k(i) = 0. What is i?
-1, 1
Let p(a) = 2*a**2 + 8*a + 2. Suppose 4*n - 8 = 4, 0 = 2*k - 2*n + 2. Let w(g) = -g**3 - 11*g**2 - 41*g - 9. Let o(x) = k*w(x) + 11*p(x). Factor o(d).
-2*(d - 2)*(d + 1)**2
Find y such that -3 + 5/2*y + 1/2*y**2 = 0.
-6, 1
Let b(z) = -z**3 + 12*z**2. Let v = 17 - 5. Let d be b(v). Factor 3/5 - 3/5*u**2 + d*u.
-3*(u - 1)*(u + 1)/5
Let a be (-1)/15*18/(-36). Let w(c) be the second derivative of 0 - a*c**6 + 0*c**2 + 0*c**5 + 1/12*c**4 + 0*c**3 - 3*c. Factor w(b).
-b**2*(b - 1)*(b + 1)
Let -5/2*b**2 + 3/2*b**3 - 2*b**5 + 5/2*b**4 + 1/2*b + 0 = 0. Calculate b.
-1, 0, 1/4, 1
Determine l so that 0*l - 8/3 + 2/3*l**2 = 0.
-2, 2
Let q(b) be the first derivative of -5/2*b**2 + b - 2 + 25/12*b**3. Let q(k) = 0. Calculate k.
2/5
Let h(a) be the second derivative of -2*a**6/15 - a**5/5 + a**4/3 + 2*a**3/3 + 36*a. Factor h(k).
-4*k*(k - 1)*(k + 1)**2
Let w be (1 + -4)*25/(-15). Let j = 29/5 - w. Find s, given that 0 + 2/5*s**3 + j*s**2 + 2/5*s = 0.
-1, 0
Let r(w) be the third derivative of w**6/900 - w**4/60 - w**3/3 - 3*w**2. Let k(m) be the first derivative of r(m). Solve k(j) = 0 for j.
-1, 1
Let c be (-1)/((-2)/(-3)) + (4 - 2). Find z such that 1/2 - z + c*z**2 = 0.
1
Let m(z) be the third derivative of -z**5/90 - z**4/36 + 2*z**3/9 + 15*z**2. Factor m(j).
-2*(j - 1)*(j + 2)/3
Let s(y) = 10*y**4 + 12*y**3 + 8*y**2. Let o(c) = 19*c**4 + 24*c**3 + 16*c**2. Let f(x) = 6*o(x) - 11*s(x). Factor f(r).
4*r**2*(r + 1)*(r + 2)
Suppose -5*b + 40 = 4*a + 10, -3*a - 4*b + 23 = 0. Let w be -7 + 7 + 2/a. Factor -w + 8/5*t**2 - 6/5*t.
2*(t - 1)*(4*t + 1)/5
Let v(f) = 2*f**2 + 5*f + 2. Let t be v(-3). Suppose -s + t*d + 1 = -10, 5*d = -3*s - 7. Factor s - c**2 - 2*c**3 + 0 - 2*c**2.
-(c + 1)**2*(2*c - 1)
Let r(j) be the first derivative of 0*j**5 + 0*j + 0*j**3 - 1 - 1/12*j**6 + 0*j**2 + 0*j**4. Factor r(w).
-w**5/2
Let j be (-3)/(6*2/(-8)). Let -2*a**3 - 2*a**3 - 6*a + 2*a**3 + j + 0 + 6*a**2 = 0. What is a?
1
Suppose 10/7*p**3 + 2*p**2 + 0 + 4/7*p = 0. Calculate p.
-1, -2/5, 0
Let d(p) = -1. Let w(t) be the second derivative of 3*t**5/20 - t**4/2 + t**3/2 - 3*t**2 - 4*t. Let z(o) = -6*d(o) + w(o). Let z(r) = 0. What is r?
0, 1
Let d = -752 - -755. Find a such that 34/13*a**2 + 10/13*a**d + 32/13*a + 8/13 = 0.
-2, -1, -2/5
Let c = 9 + -5. Solve -i**3 - c*i**2 - 6*i**4 + 9*i**3 + 10*i**3 - 8*i**5 = 0.
-2, 0, 1/4, 1
Let c(j) be the first derivative of -j**9/12096 - j**8/6720 + 5*j**3/3 - 1. Let a(m) be the third derivative of c(m). Find r, given that a(r) = 0.
-1, 0
Suppose -12 + 4 = -2*o. Let n be 32/100*10/o. Let -24/5*v**4 + 8/5*v**3 + n + 2*v**5 + 4*v**2 - 18/5*v = 0. What is v?
-1, 2/5, 1
Let y(v) be the third derivative of -v**8/420 + 2*v**7/525 + v**6/75 - 2*v**5/75 - v**4/30 + 2*v**3/15 - 19*v**2. Factor y(p).
-4*(p - 1)**3*(p + 1)**2/5
Let v(t) = -24*t**2 - 97*t + 31. Let n(w) = 12*w**2 + 48*w - 15. Let l(j) = 7*n(j) + 3*v(j). Factor l(x).
3*(x + 4)*(4*x - 1)
Let s be 16/6*51/34. Factor 0*c + 0*c**2 + 0 + 14/5*c**5 - 18/5*c**s + 4/5*c**3.
2*c**3*(c - 1)*(7*c - 2)/5
Let u(o) be the third derivative of 3*o**8/448 + o**7/40 + 7*o**6/480 - 17*o**5/240 - o**4/6 - o**3/6 + 2*o**2. Solve u(w) = 0.
-1, -2/3, 1
Let q = -2 - -5. Factor -3*k**2 + k**q - 5*k**4 + 2*k**2 - k**2 - 8*k**3.
-k**2*(k + 1)*(5*k + 2)
Let s be ((-100)/(-8))/5 - 2. Suppose -5*n = 2*n. Find p, given that s*p + 1/2*p**2 + n = 0.
-1, 0
Let q = 1765/1512 - -1/56. Let l(g) be the second derivative of 49/90*g**5 + q*g**3 + 0 + 4/9*g**2 + 77/54*g**4 - g. Factor l(t).
2*(t + 1)*(7*t + 2)**2/9
Let n(s) = -2*s**2 + 2*s. Let o be (-7 + 3)*1*-1. Let p(u) = -u**2 + u. Let a(j) = o*n(j) - 7*p(j). Factor a(z).
-z*(z - 1)
Let m(k) = 4*k**2 + 5*k + 1. Suppose -2*d + 2*v - 19 = -3*v, 4*d + 2*v - 22 = 0. Let u(y) = -y**2 - y. Let f(g) = d*u(g) + m(g). Find b such that f(b) = 0.
-1
Factor 85*b - 81*b - 6 - 5*b**2 + 9*b**2 - 2*b**2.
2*(b - 1)*(b + 3)
Let k(v) be the third derivative of 0*v**3 + 0 + 1/20*v**5 + 0*v + 1/4*v**4 + 5*v**2. Factor k(c).
3*c*(c + 2)
Let y = -5/3 - -7/4. Let m(u) be the second derivative of y*u**3 + 0*u**2 + u + 0 + 1/24*u**4. Solve m(c) = 0.
-1, 0
Let s(b) be the third derivative of 0*b**3 + 0*b**5 - 1/90*b**7 - 1/180*b**6 + 0 + 0*b**4 - 3*b**2 + 0*b. Find h, given that s(h) = 0.
-2/7, 0
Factor -4*n**3 - 2 + 1 + 1 - 4*n**4 + 16*n**2 + 16*n.
-4*n*(n - 2)*(n + 1)*(n + 2)
Let y = 9 + -9. Suppose 3*o - 9 = -y*o. Factor 6/11*g - 4/11*g**2 - 2/11 - 4/11*g**o + 6/11*g**4 - 2/11*g**5.
-2*(g - 1)**4*(g + 1)/11
Let q(n) be the third derivative of -14*n**5/195 - 29*n**4/156 - 2*n**3/13 - 2*n**2. Let q(y) = 0. Calculate y.
-3/4, -2/7
Suppose 22/7*z**4 - 32/7*z**2 - 8/7*z**5 - 8/7*z + 0 + 6/7*z**3 = 0. What is z?
-1, -1/4, 0, 2
Let l = -6546160/9 + 724786. Let o = l - -2576. Factor -8/9 - o*c**2 - 56/9*c.
-2*(7*c + 2)**2/9
Let h(y) be the third derivative of -y**7/70 - y**6/10 - 3*y**5/10 - y**4/2 - y**3/2 + 49*y**2. Let h(s) = 0. Calculate s.
-1
Let m = 59 - 59. Let u be (-8)/(-6)*(-6)/(-4). What is d in -2/9*d**u + 4/9*d + m = 0?
0, 2
Let z(b) = b - 5*b + 2*b - 6. Let p be z(-4). Factor -h**2 + h + 3*h**p + h**3 + 0*h**2.
h*(h + 1)**2
Let i(a) = -10*a**3 + 10*a - 7. Let h(f) be the first derivative of 3*f**4/4 - 3*f**2/2 + 2*f + 2. Let u(c) = -7*h(c) - 2*i(c). Solve u(y) = 0.
-1, 0, 1
Suppose 4*t + q = 4*q + 18, -4*q = -t + 11. Suppose t*r - 4 = 2. Factor 0 + 4/7*w - 18/7*w**2 + r*w**3.
2*w*(w - 1)*(7*w - 2)/7
Factor 8/13*w - 2/13*w**2 - 8/13.
-2*(w - 2)**2/13
Determine l so that -4/15*l**3 + 2/3*l + 0 + 6/5*l**2 = 0.
-1/2, 0, 5
Solve -4/3*x + 0 - 8/3*x**2 - 4/3*x**3 = 0.
-1, 0
Let c be (-4)/(-10) - (-15)/(900/56). Determine b so that -c + 20/3*b**2 + 2/3*b = 0.
-1/2, 2/5
Let z = 4552 + -8729/2. Factor z*u**4 - 225*u**3 - 12*u + 0 + 90*u**2.
3*u*(5*u - 2)**3/2
Let b(l) be the first derivative of 0*l**3 + 0*l - 1/5*l**5 - 6 + 0*l**2 - 1/2*l**4. Let b(r) = 0. What is r?
-2, 0
Let m(n) be the second derivative of -n**7/21 - 4*n**6/15 - 3*n**5/5 - 2*n**4/3 - n**3/3 + 3*n. Let m(h) = 0. What is h?
-1, 0
Let m(n) be the first derivative of n**5/20 - n**4/8 - n**2 + 2. Let k(f) be the second derivative of m(f). Solve k(j) = 0.
0, 1
Suppose -5*d - 5*y + 4*y = -7, -3*y - 15 = -3*d. Let o = 14 - 62/5. Factor -o*c - 2/5 - 8/5*c**d.
-2*(2*c + 1)**2/5
Let f = -613/65 - -146/13. Let q be (12/16)/((-10)/(-16)). Factor -f*p**2 + 3/5*p**3 + q*p + 0.
3*p*(p - 2)*(p - 1)/5
Find h, given that 33/5*h - 18/5 - 18/5*h**2 + 3/5*h**3 = 0.
1, 2, 3
Let n be ((-32)/(-28))/(27/42). Factor 2/9*c**2 + 0 - n*c**3 + 10/9*c**4 + 4/9*c.
2*c*(c - 1)**2*(5*c + 2)/9
Suppose -1/2*f**4 + 0 - f - 2*f**3 - 5/2*f**2 = 0. What is f?
-2, -1, 0
Let f(g) be the first derivative of -1/18*g**6 - 1 + 2/15*g**5 + 0*g**4 + 0*g - 2/9*g**3 + 1/6*g**2. Factor f(h).
-h*(h - 1)**3*(h + 1)/3
Suppose 0 = 4*c - 9 - 15. Let x(i) be the third derivative of 1/40*i**c - 2/15*i**5 + 0 + i**2 + 7/24*i**4 + 0*i - 1/3*i**3. Let x(y) = 0. Calculate y.
2/3, 1
Let b(u