 z*i(r) - 6*y(r). Factor d(l).
-(l + 1)**2
Suppose -55 + 106 - 6*z - 35 + 4*z**2 + 22*z = 0. What is z?
-2
Let n(j) be the first derivative of 0*j - 2/3*j**3 - j**2 + 3. Factor n(m).
-2*m*(m + 1)
Suppose 22*k - 6*k = 0. Find o such that k*o + 2/17*o**2 + 0 = 0.
0
Let d(p) be the third derivative of -p**11/110880 + p**9/20160 + p**5/12 - 5*p**2. Let x(i) be the third derivative of d(i). Determine z so that x(z) = 0.
-1, 0, 1
Let d(c) = -c**2 - 2*c. Let q be d(-4). Let m be 2/q - (-63)/28. Let o**2 + 3*o**2 - 1 - 3*o**2 + 0*o**m = 0. Calculate o.
-1, 1
Solve 26/5*v - 2/5*v**2 + 0 = 0.
0, 13
Let w(u) be the third derivative of u**6/30 - 2*u**5/5 + 25*u**2. Solve w(c) = 0 for c.
0, 6
Let j(m) be the third derivative of 2*m**2 + 0*m**3 + 0 + 1/15*m**5 + 1/6*m**4 - 2/105*m**7 + 0*m - 1/30*m**6. Let j(d) = 0. What is d?
-1, 0, 1
Let w = 258 + -1804/7. Solve 4/7*z - w*z**2 - 2/7 = 0.
1
Suppose -15*r - 8 = -19*r. Solve 1/2*a - 1/2*a**r - 1/2*a**3 + 0 + 1/2*a**4 = 0 for a.
-1, 0, 1
Let q(a) be the second derivative of -a**5/60 + a**4/18 + a**3/18 - a**2/3 + 2*a. Let q(k) = 0. What is k?
-1, 1, 2
Let n(p) be the first derivative of -2*p**6/9 - 46*p**5/45 - 17*p**4/9 - 16*p**3/9 - 8*p**2/9 - 2*p/9 + 6. Suppose n(t) = 0. What is t?
-1, -1/2, -1/3
Let d(l) = 12*l**3 + 12*l**2. Let z(k) = -4*k**3 - 4*k**2. Let p be -3*(-2 + 4/12). Let q(s) = p*d(s) + 16*z(s). Let q(h) = 0. Calculate h.
-1, 0
Let z(v) be the third derivative of -v**8/168 - 2*v**7/105 + v**6/20 + 2*v**5/15 - v**4/3 - 4*v**2. Factor z(o).
-2*o*(o - 1)**2*(o + 2)**2
Solve 7*l**4 + 20*l**5 + 5*l**3 - 7*l + 0*l**4 - 5*l**2 - 18*l**5 - 2 = 0.
-2, -1, -1/2, 1
Let t(g) = -2*g**2 + 8*g - 6. Let o be 9 - (3 + 3/(-3)). Let x(p) = -2*p**2 + o + 3*p**2 + p**2 - 9*p. Let k(u) = 7*t(u) + 6*x(u). Factor k(f).
-2*f*(f - 1)
Let u(h) be the second derivative of 5*h**4/3 - 4*h**3/3 + 11*h. Determine g so that u(g) = 0.
0, 2/5
Let l be (21/(-7) + 4)*4/2. Solve i + 7/2*i**l - 1/2 + 2*i**3 = 0.
-1, 1/4
Let x = 7 + -5. Suppose 2*k = k + x. What is t in t**k - 6*t + 6*t = 0?
0
Let m(n) be the first derivative of -n**6/15 + 2*n**5/25 + 3*n**4/10 - 2*n**3/15 - 2*n**2/5 - 4. Find y, given that m(y) = 0.
-1, 0, 1, 2
Let m(l) be the third derivative of -l**5/60 + l**4/4 - 3*l**3/2 + 17*l**2. Factor m(g).
-(g - 3)**2
Let r(h) be the first derivative of -4/3*h**3 - 1/2*h**4 + 0*h - 1 - h**2. Let r(k) = 0. Calculate k.
-1, 0
Let x(a) be the third derivative of a**6/180 + a**5/90 - a**4/18 - 11*a**2. Factor x(n).
2*n*(n - 1)*(n + 2)/3
Let t = 10 - 7. Let v(x) = -x**3 + 0*x**2 + 3 - t*x**2 + 15*x - 11*x. Let a(n) = 2*n**3 + 5*n**2 - 7*n - 5. Let b(f) = 6*a(f) + 10*v(f). Factor b(l).
2*l*(l - 1)*(l + 1)
Let u = 6 - 1. Find x such that x**4 + 10*x**5 + 0*x**2 - x**3 - 9*x**u - x**2 = 0.
-1, 0, 1
Let p be (18/45)/(3 - 1). Let x(m) be the first derivative of -1 + 4/15*m**3 - p*m**2 + 0*m - 1/10*m**4. Let x(u) = 0. Calculate u.
0, 1
Let g(a) = -3*a**4 - 13*a**3 - 10*a**2 + 7. Let h(b) = -2*b**4 - 9*b**3 - 7*b**2 + 5. Let j(k) = 5*g(k) - 7*h(k). Determine p, given that j(p) = 0.
-1, 0
Let a(w) be the second derivative of -5*w**5 + 5*w**4/3 + 32*w**3/3 + 8*w**2 - 2*w. Factor a(x).
-4*(x - 1)*(5*x + 2)**2
Suppose 3*a - 210 = 5*a. Let x be (-3)/(-9)*a/(-28). Factor -1/2 - l**2 - 1/4*l**3 - x*l.
-(l + 1)**2*(l + 2)/4
Let v be (-1)/4 - 72/(-32). What is o in 1/2*o**3 - 1/2*o**4 - 5/2*o + 1 + 3/2*o**v = 0?
-2, 1
Let i(r) be the second derivative of 1/8*r**2 + 1/48*r**4 - 3*r + 1/12*r**3 + 0. Factor i(j).
(j + 1)**2/4
Suppose -4*r + 5*d - 11 = 0, 2*r - 6 = 5*r - 3*d. Let q(v) = 1 - 1 - v**3 - 5 - v + 6. Let s(j) = 2*j**3 - j**2. Let f(w) = r*q(w) + s(w). Factor f(x).
(x - 1)**2*(x + 1)
Let d(q) be the first derivative of 0*q + 1/48*q**5 + 1/2*q**2 + 0*q**3 - 1/48*q**4 + 3. Let w(l) be the second derivative of d(l). Solve w(y) = 0.
0, 2/5
Let m = -1288/3 - -430. Factor m*g**3 + 0*g + 4/3*g**2 + 0.
2*g**2*(g + 2)/3
Let l(y) be the second derivative of y**6/20 - 9*y**5/40 + 42*y. Find u such that l(u) = 0.
0, 3
Let z(c) be the first derivative of -c**6/120 - c**5/30 + c**2 - 2. Let a(o) be the second derivative of z(o). Solve a(h) = 0.
-2, 0
Let i(v) be the second derivative of v**4/4 + v**3/3 + 9*v**2/2 - 5*v. Let q(t) = 5*t**2 + 3*t + 14. Let a(n) = 8*i(n) - 5*q(n). Solve a(o) = 0 for o.
-1, 2
Let r(j) be the first derivative of -8*j**5/5 + 5*j**4 - 4*j**3 - 2*j**2 + 4*j - 1. Suppose r(t) = 0. What is t?
-1/2, 1
Suppose -4*j + 4 = k, j + 12 = -2*k + 5*k. Factor 2/5*f**3 + 6/5*f**2 - 8/5 + j*f.
2*(f - 1)*(f + 2)**2/5
Suppose -i = -1 - 7. Suppose 4*m = 2*m + i. Factor -16*j**5 - j**2 + j**4 + 0*j**m - 2*j + 3*j**3 + 15*j**5.
-j*(j - 2)*(j - 1)*(j + 1)**2
Let w(v) be the third derivative of 0*v**4 + 1/480*v**6 + 0 + 3*v**2 - 1/240*v**5 + 0*v + 0*v**3. Factor w(h).
h**2*(h - 1)/4
Let g(v) = -v**3 - 31*v**2 + 29*v - 9. Let b(a) = -2*a**3 - 92*a**2 + 88*a - 28. Let q(j) = -6*b(j) + 17*g(j). Factor q(r).
-5*(r - 3)*(r - 1)**2
Let s(v) be the first derivative of -v**7/630 + 2*v**5/45 - 8*v**3/9 - v**2 + 5. Let c(j) be the second derivative of s(j). Factor c(y).
-(y - 2)**2*(y + 2)**2/3
Let x = 13 + -12. Let k be 5/20 - x/(-4). Factor 1/4*s**4 + 1/2*s + 0*s**2 - 1/4 - k*s**3.
(s - 1)**3*(s + 1)/4
Let p(m) = -m**2 - m**3 + 0*m + 7*m + 10*m**2. Let u(g) = 2*g**3 - 26*g**2 - 20*g. Let h(i) = 8*p(i) + 3*u(i). Factor h(d).
-2*d*(d + 1)*(d + 2)
Let b = 60/23299 + -49139271/652372. Let x = b - -315/4. Let 12/7*q**4 + 26/7*q**3 + 0 + 8/7*q + x*q**2 + 2/7*q**5 = 0. What is q?
-2, -1, 0
Let m be (-54)/(-189)*(17 - -1). Let -4/7*t**3 + m - 60/7*t + 4*t**2 = 0. Calculate t.
1, 3
Suppose -30*w**2 - 216/5 - 504/5*w - 12/5*w**3 = 0. What is w?
-6, -1/2
Let z(t) be the first derivative of -t**6/6 - t**5/5 + 3*t**4/4 + 5*t**3/3 + t**2 + 4. Factor z(v).
-v*(v - 2)*(v + 1)**3
Let f = 12 + -9. Let n(p) be the first derivative of 1/2*p**2 - 1/10*p**5 + 1/2*p + 0*p**f - 2 - 1/4*p**4. What is k in n(k) = 0?
-1, 1
Let y(p) be the first derivative of 0*p - 1 - 2/15*p**5 - 2/3*p**2 + 2/9*p**3 + 1/3*p**4. Factor y(u).
-2*u*(u - 2)*(u - 1)*(u + 1)/3
Let r(l) be the third derivative of l**8/112 - l**7/70 + 14*l**2. Factor r(y).
3*y**4*(y - 1)
Suppose 5*h = 3*h + 11*h. Let p(b) be the third derivative of 0*b + 0*b**4 - 3*b**2 + 0 + 1/315*b**7 - 1/90*b**5 + 0*b**3 + h*b**6. Factor p(m).
2*m**2*(m - 1)*(m + 1)/3
Let r be (12/14)/((-4)/(-28)). Suppose r = j + 2*j. Factor -3*m**j + 0*m**4 + m**2 + 3*m**2 - m**4.
-m**2*(m - 1)*(m + 1)
Let q(w) be the third derivative of w**7/2520 - w**6/1080 - w**3/6 + 5*w**2. Let m(j) be the first derivative of q(j). Suppose m(r) = 0. Calculate r.
0, 1
Let z(r) be the first derivative of 0*r - 3/4*r**4 + 1 + 0*r**2 + 0*r**3 + 1/2*r**6 + 0*r**5. Factor z(k).
3*k**3*(k - 1)*(k + 1)
Let p(v) = 2*v**2 - 7*v + 1. Let k(j) = 2*j**2 - 2*j + 0*j - 5*j + j. Let x(d) = 5*k(d) - 4*p(d). Suppose x(h) = 0. Calculate h.
-1, 2
Let d(w) = -w - 1. Let b(h) = -6*h**3 - 10*h**2 - 8*h - 4. Let j(x) = b(x) - 4*d(x). Determine r so that j(r) = 0.
-1, -2/3, 0
Let j(t) = -14*t**2 - 10*t + 8. Let p(f) = 5*f**2 + 3*f - 3. Let r(o) = 3*j(o) + 8*p(o). Solve r(k) = 0.
-3, 0
Let r(s) be the third derivative of s**6/120 - s**5/60 - s**4/24 + s**3/6 - 35*s**2. Factor r(w).
(w - 1)**2*(w + 1)
Let d(r) be the second derivative of 1/70*r**6 - 3/70*r**5 - 3/14*r**2 + 0 + 0*r**4 - 5*r + 1/7*r**3. Suppose d(w) = 0. What is w?
-1, 1
Let s(f) be the first derivative of 1/4*f**5 - 1/10*f**6 - 2 - 1/6*f**3 - 1/12*f**4 + 3*f + 0*f**2. Let v(a) be the first derivative of s(a). Solve v(l) = 0.
-1/3, 0, 1
Let x be (-5)/(45/(-318)) - 3. Let k = x + -32. Factor -1/3*j**2 + 1/3*j**4 - k*j + 0 + 1/3*j**3.
j*(j - 1)*(j + 1)**2/3
Let p(a) be the third derivative of a**7/1785 - a**5/85 - 2*a**4/51 - a**3/17 + 20*a**2. Factor p(l).
2*(l - 3)*(l + 1)**3/17
Let b(j) = j**3 - 11*j**2 - 8*j + 6. Let h(y) = 13 - 23*y**2 + y**3 - 4*y - 13*y + 0*y**3. Let a(c) = 13*b(c) - 6*h(c). What is n in a(n) = 0?
-2/7, 0, 1
Let n(j) = 2*j**3 - 5*j**2 + 3*j - 2. Let q(p) = -p - 1. Suppose 0 = 3*r - 2*r + 2. Let s(c) = r*q(c) + 2*n(c). Let s(i) = 0. Calculate i.
1/2, 1
Suppose p - 24 = -3*p. Factor u**2 + p*u + 2*u**2 + 0*u + 3.
3*(u + 1)**2
Let a(y) be the second derivative of -y**10/60480 + y**8/13440 + y**4/3 + 3*