 1/12*y**4 + 0*y**3 + 0*y - 1/35*y**7 + 2*y**2 - p*y**6. Solve d(i) = 0.
-1, -1/3, 0
Let j be 4/44*24/15. Let l(k) be the first derivative of 1/11*k**2 - 2 + 1/33*k**6 + 8/33*k**3 + j*k**5 + 0*k + 3/11*k**4. Factor l(v).
2*v*(v + 1)**4/11
Suppose c = -5*r + 17, -c = -4*r + r + 7. What is b in 6*b - 3 + r*b**2 + 6 + 0*b**2 = 0?
-1
Let f(t) be the second derivative of t**4/3 + 4*t**3 + 10*t**2 + 9*t. Factor f(b).
4*(b + 1)*(b + 5)
Let k = -3595/208 + 232/13. Let i = 95/112 - k. Find d such that 0*d + 2/7*d**2 - i = 0.
-1, 1
Let x(i) be the first derivative of 0*i - 4 + 4*i**2 - i**4 + 4/3*i**3. Let x(a) = 0. Calculate a.
-1, 0, 2
Let f(g) be the third derivative of 4*g**7/105 - 7*g**6/30 + g**5/5 - 5*g**2. Factor f(u).
4*u**2*(u - 3)*(2*u - 1)
Let q(g) be the first derivative of g**6/3 + 6*g**5/5 + 3*g**4/2 + 2*g**3/3 + 14. What is a in q(a) = 0?
-1, 0
Suppose -4*n - 3*j + 8 + 5 = 0, -2*n - 4*j + 4 = 0. Suppose 9 - 49 = -8*l. Determine t, given that 16*t**n - l*t**5 + 2*t + 0*t - 12*t**3 - t**5 = 0.
-1/3, 0, 1
Let c(i) = 2*i - 2. Let z be c(2). Suppose 8 + 122*p - 6*p**2 - 122*p + z*p**3 = 0. What is p?
-1, 2
Suppose 4*b - 30 + 22 = 0. Let c(o) be the first derivative of -1/8*o**b - 1/4*o**4 - 5/12*o**3 - 2 + 0*o. Factor c(r).
-r*(r + 1)*(4*r + 1)/4
Suppose -5*c - 5*z - 9 = 6, z + 5 = 0. Let b be ((-128)/(-28))/c + -2. Suppose 0 + 2/7*h**2 - b*h**3 + 0*h = 0. Calculate h.
0, 1
Suppose 0*c + 15 = 3*c. Suppose -c*z = -5*j + 5, -2*j - j = -5*z + 5. Factor -l**4 + 2*l**z - 3*l**2 + 3*l - 2*l + l.
l*(l - 1)**2*(l + 2)
Factor n**5 + 14*n**4 - 12*n**4 + n**5.
2*n**4*(n + 1)
Let s(j) be the first derivative of 3/2*j**2 + 2*j + 1 + 1/3*j**3. Solve s(h) = 0.
-2, -1
Let h = 58 - 56. Factor 4/3 + 2/3*k**h + 2*k.
2*(k + 1)*(k + 2)/3
Let r = 54 + -52. Let -6/7*w**5 - 16/7*w**4 - 8/7*w**3 + 12/7*w**2 + 4/7 + r*w = 0. Calculate w.
-1, -2/3, 1
Solve 27/4*l + 2*l**4 - 9/2*l**3 + 0*l**2 - 1/4*l**5 + 0 = 0 for l.
-1, 0, 3
Let x be (-6)/(-1)*(-10 - -9). Let t be (16/(-28))/(x/7). Solve -8/3*l**5 + 0*l + 0*l**4 - t*l**2 + 2*l**3 + 0 = 0 for l.
-1, 0, 1/2
Let l(m) = -m**2 + m - 2. Let h(b) = 2*b**2 - b + 4. Let p(t) = -2*h(t) - 5*l(t). Solve p(j) = 0.
1, 2
Let v(h) be the second derivative of 25*h**8/1344 - 3*h**7/56 + h**6/20 - h**5/60 - h**2/2 - 3*h. Let g(u) be the first derivative of v(u). Factor g(i).
i**2*(i - 1)*(5*i - 2)**2/4
Let n = 57 - 53. Let a(p) be the first derivative of -3 + 46/21*p**3 - 13/7*p**2 - 18/35*p**5 + 4/7*p - 3/14*p**n. Find y such that a(y) = 0.
-2, 1/3, 1
Suppose 0 = 4*y - t - 2*t - 17, 11 = 2*y - t. Let n be -3 - (-2 - y/5). Suppose -n*h - 1/5*h**3 + 3/5*h**2 + 1/5 = 0. Calculate h.
1
Suppose 2*g - 3 = -5*b - 2, -4*g = -4*b - 16. Factor -g - 2 + 4 + 2*y - y**2.
-(y - 1)**2
Let p(z) = -4*z**4 + 4*z**3 - 4. Suppose 2*q + 4*j = -3*q - 5, 2*q = 3*j - 25. Let o(d) = d**5 + 3*d**4 - 5*d**3 + 5. Let f(m) = q*p(m) - 4*o(m). Factor f(i).
-4*i**4*(i - 2)
Let g(y) be the third derivative of 2*y**7/35 - 4*y**6/15 + 7*y**5/15 - y**4/3 - 9*y**2. Find k, given that g(k) = 0.
0, 2/3, 1
Let j(h) be the third derivative of h**5/40 - h**4/8 - 29*h**2. Factor j(s).
3*s*(s - 2)/2
Let a(f) be the second derivative of f**5/30 + f**4/6 + 2*f**3/9 + 6*f. Factor a(r).
2*r*(r + 1)*(r + 2)/3
Let i(o) be the first derivative of 0*o**2 + 0*o**3 + 2*o**4 - 8/5*o**5 + 0*o + 4 + 1/3*o**6. Solve i(n) = 0.
0, 2
Let t(q) be the first derivative of 3*q**5/5 + 27*q**4/16 + q**3/2 + 6. Factor t(n).
3*n**2*(n + 2)*(4*n + 1)/4
Let m(y) be the second derivative of 0*y**3 + 0 + 0*y**2 - y + 1/5*y**5 + 2/9*y**4. Factor m(t).
4*t**2*(3*t + 2)/3
Let r(w) be the first derivative of w**6/1440 - w**4/96 + 4*w**3/3 + 3. Let y(p) be the third derivative of r(p). Factor y(d).
(d - 1)*(d + 1)/4
Let o(i) = -3*i**5 + 15*i**4 + 6*i**3 + 6*i - 6. Let t(a) = a**5 - a**4 - a**3 - a + 1. Let y(k) = o(k) + 6*t(k). Factor y(v).
3*v**4*(v + 3)
Let a = 215/663 + 2/221. Factor 2/3*q**2 - a*q**3 + q + 0.
-q*(q - 3)*(q + 1)/3
Let m = -17 - -20. Suppose 0 = 3*k - x - 4 - 4, 5*x = -m*k - 4. Find q such that 1/5*q**k - 1/5 + 0*q = 0.
-1, 1
Let l be 4 + 16/(-10) + -2. Determine y so that 2/5*y**4 + 0 - 1/5*y**5 - l*y**2 + 0*y**3 + 1/5*y = 0.
-1, 0, 1
Let w be (-2)/((-1)/(-2) - 1). Suppose 0 = 8*d - w*d - 8. Factor 0 + 2/7*c - 6/7*c**d.
-2*c*(3*c - 1)/7
Let t(w) be the third derivative of 1/112*w**8 + 0*w**3 + 1/4*w**5 + 0*w - 3/40*w**6 - 1/70*w**7 - 4*w**2 + 0 - 1/4*w**4. Factor t(a).
3*a*(a - 1)**3*(a + 2)
Let r(f) be the first derivative of -4*f**3/3 + 8*f**2 - 16*f + 9. Factor r(t).
-4*(t - 2)**2
Let d(w) = w**2 - 14*w + 15. Let z be d(13). Find o such that 0 - 1/4*o**z + 1/4*o**3 + 0*o = 0.
0, 1
Let k(u) = 4*u. Let g be k(1). Factor 5*d**g - 2*d**4 - 19*d**3 + 22*d**3.
3*d**3*(d + 1)
Let v(p) be the first derivative of 0*p + 0*p**2 + 3 - 2/21*p**3. Factor v(l).
-2*l**2/7
Factor 0*v + 0 + 1/3*v**2.
v**2/3
Let b = 112 + -112. Let k(j) be the first derivative of 1/3*j + 3 - 1/9*j**3 + b*j**2. Factor k(v).
-(v - 1)*(v + 1)/3
Suppose 30*a + b = 29*a - 3, a - 15 = 5*b. Factor -6/7*k - 3/7*k**4 + a + 0*k**3 + 9/7*k**2.
-3*k*(k - 1)**2*(k + 2)/7
Let f be (-2)/(-2) + -2 + -7. Let p be (6/15)/(f/(-5)). Factor p*t**3 - 1/2 + 0*t**2 - 3/4*t.
(t - 2)*(t + 1)**2/4
Let r(c) = 15*c**2 + 89*c + 6. Let v be r(-6). Let -375/2*y**3 - v - 90*y - 225*y**2 = 0. Calculate y.
-2/5
Let z be 0/(4*(75/(-20))/5). Suppose z*f**2 + 1/2*f**4 + 0*f - 1/2*f**3 + 0 = 0. What is f?
0, 1
Let j(b) = -3*b**3 + 10*b**2 - 15*b + 5. Let z(i) = i**3 + i + 1. Let n(c) = -j(c) - z(c). Factor n(a).
2*(a - 3)*(a - 1)**2
Let v(h) be the second derivative of -h**10/17640 - h**9/26460 - 5*h**4/12 + 4*h. Let l(o) be the third derivative of v(o). Factor l(k).
-4*k**4*(3*k + 1)/7
Let y(a) be the third derivative of a**7/420 - a**5/40 + a**4/24 - 34*a**2. Factor y(k).
k*(k - 1)**2*(k + 2)/2
Let p(r) be the third derivative of r**8/56 - 11*r**7/105 + 2*r**6/15 + 2*r**5/15 + 3*r**2. Factor p(j).
2*j**2*(j - 2)**2*(3*j + 1)
What is f in 2*f**3 - 15*f**2 - 24*f + 39*f - 5 + 6*f**3 - 3*f**3 = 0?
1
Find m such that 14/13*m**2 + 2/13*m**3 + 30/13*m + 18/13 = 0.
-3, -1
Suppose 3*o - j - 11 = 3*j, -2*o + 8 = -3*j. Let q = -1 + o. Find s such that -s + 0*s + s**3 + q*s**3 = 0.
-1, 0, 1
Factor 9*c**2 - 5 + 11 - 33*c + 0 + 12.
3*(c - 3)*(3*c - 2)
Let d(c) = 9*c**5 - 5*c**4 + 6*c**3 - 5*c**2 - 5*c + 5. Let i(k) = k**5 + k**3 - k**2 - k + 1. Let z(t) = -d(t) + 5*i(t). Let z(q) = 0. What is q?
0, 1/4, 1
Let k(j) = -9*j**2 - 5*j + 11. Let d(w) = 5*w**2 + 3*w - 5. Let g(p) = -5*d(p) - 3*k(p). Factor g(o).
2*(o - 2)*(o + 2)
Let f(n) = -n**2 - 4*n + 3. Let x be f(-4). Let q(l) be the first derivative of 2 - 2/3*l**x - 2/3*l**2 - 1/3*l - 1/15*l**5 - 1/3*l**4. Factor q(t).
-(t + 1)**4/3
Let k = 373/6090 + -3/58. Let w(a) be the third derivative of -2*a**2 + 0 + 0*a**3 + 1/48*a**4 + 1/40*a**6 + 0*a - 1/84*a**8 - k*a**7 + 1/24*a**5. Factor w(x).
-x*(x - 1)*(2*x + 1)**3/2
Let w(l) be the first derivative of l**3/9 + l**2/2 - 5. Factor w(x).
x*(x + 3)/3
Let m(r) = 2*r**3 - 3*r**2 + 3*r + 4. Let o(s) = 5*s + 0 + 0*s + 3 - 3*s + 2*s**3 - 2*s**2. Let b(l) = -3*m(l) + 4*o(l). Solve b(j) = 0.
-1, 0, 1/2
Let 0*p**2 + 0 + 3/7*p**3 + 0*p + 3/7*p**4 = 0. Calculate p.
-1, 0
Let v(k) = -2*k + 2*k + 11 - k. Let f be v(8). Suppose 6*b**3 + 4 - 24*b - 8*b**3 + 41*b**2 - 19*b**f = 0. What is b?
2/7, 2/3, 1
Let n(f) = -2*f**2 + 8*f - 12. Let s(x) = -5*x**2 + 24*x - 36. Let a(g) = -17*n(g) + 6*s(g). Suppose a(p) = 0. What is p?
-3, 1
Let q(d) be the first derivative of -d**6/33 + 2*d**5/55 + 3*d**4/22 - 10*d**3/33 + 2*d**2/11 + 5. Factor q(g).
-2*g*(g - 1)**3*(g + 2)/11
Let f(s) be the second derivative of -1/48*s**4 + 1/8*s**3 + 0 + 9*s + 1/2*s**2. Factor f(c).
-(c - 4)*(c + 1)/4
Let c(i) be the third derivative of -i**11/2661120 - i**10/1209600 + i**9/241920 + i**5/15 - 6*i**2. Let b(q) be the third derivative of c(q). Factor b(v).
-v**3*(v - 1)*(v + 2)/8
Let v(r) be the first derivative of r**8/840 + r**7/105 + r**6/45 - r**3 - 2. Let a(b) be the third derivative of v(b). Factor a(n).
2*n**2*(n + 2)**2
Let c(y) be the second derivative of 2*y**6/5 - y**5/5 - 5*y**4/3 + 2*y**3/3 + 4*y**2 - 7*y. Solve c(z) = 0.
-1, -2/3, 1
Let x(v) = v**2 + 2*v + 1. Let f be x(-3). Factor 3*q**5 - 43*q**f + 1