late b.
0, 2
Let 0 + 6/5*s + 3/5*s**3 - 9/5*s**2 = 0. What is s?
0, 1, 2
Let l = 7 - 5. Factor a**l + a**2 - 6*a**2.
-4*a**2
Let h(d) be the first derivative of 2*d**6/3 + 8*d**5/5 - 3*d**4 - 15. Factor h(q).
4*q**3*(q - 1)*(q + 3)
Let z(m) be the first derivative of m**6/6 - 2*m**5 + 6*m**4 + 10*m**3/3 - 25*m**2/2 + 20. Factor z(p).
p*(p - 5)**2*(p - 1)*(p + 1)
Let l(h) be the second derivative of h**4/21 - 2*h**3/7 - 7*h. Determine a, given that l(a) = 0.
0, 3
Let h = -23 - -71/3. Suppose p - 1/3*p**2 - h = 0. Calculate p.
1, 2
Suppose 5*t + j - 2*j = 30, 0 = -4*t - 3*j + 5. Suppose -t*y - 3 + 13 = -5*x, y + 5*x = 14. Factor 0 - 1/5*o**y + 1/5*o**2 - 1/5*o**3 + 1/5*o.
-o*(o - 1)*(o + 1)**2/5
Let l be (-6)/(-12) + 2/(-4). Let v(t) be the third derivative of 0*t**3 + 0 + 1/12*t**5 + t**2 - 1/12*t**4 + l*t. Let v(c) = 0. Calculate c.
0, 2/5
Let o(i) be the third derivative of -7*i**6/40 + 4*i**5/5 - 11*i**4/8 + i**3 - i**2. Factor o(m).
-3*(m - 1)**2*(7*m - 2)
Let u be 1/(1 + (-10)/9). Let n be (8/u)/(6/(-9)). Factor 14/3*p**2 + 8/3*p**3 + n*p - 2/3.
2*(p + 1)**2*(4*p - 1)/3
Let m(i) be the third derivative of -1/40*i**6 - 1/210*i**7 + 1/224*i**8 + 1/30*i**5 - 1/6*i**3 - 5*i**2 + 0*i + 0 + 1/16*i**4. Find u, given that m(u) = 0.
-1, 2/3, 1
Let v be (5 - 0)/(1 - 0). Suppose -h = -v*a - 3*h + 11, -5*a + 2*h - 1 = 0. Solve 1/4*o**2 + a + o = 0 for o.
-2
Suppose 0*t = -5*t. Suppose -3*y = 2*s + y - 20, t = -5*s - 2*y + 18. Let -2/9*k**s - 2/9 - 4/9*k = 0. What is k?
-1
Let o be 2 - 4/(-6)*-2. Solve 2*s + 0 + o*s**2 = 0 for s.
-3, 0
Let d(k) be the second derivative of -1/3*k**4 - 2*k**2 + 4/3*k**3 + 0 + 7*k. Solve d(f) = 0.
1
Suppose 6 = 3*b - 3*l, -5*b + l + 14 = -0*l. Let t(u) be the third derivative of 0*u**5 + 1/180*u**6 - 2/9*u**3 + 0 - 1/12*u**4 - b*u**2 + 0*u. Factor t(p).
2*(p - 2)*(p + 1)**2/3
Suppose x - 5 = o + 2*x, -3*x = o + 5. Let p = -4 - o. Factor -3*v + v**2 - 3 + 6 - p.
(v - 2)*(v - 1)
Suppose -6*o = -o. Suppose 4*j + 2 + 18 = o, -t + j + 8 = 0. Factor 6*k**t + 14*k**2 + 2*k**4 + k - 8*k**2 + k.
2*k*(k + 1)**3
Let v(y) = -4*y**4 - 10*y**3 + 14*y**2 + 2*y - 6. Let j(d) = -7*d**4 - 21*d**3 + 29*d**2 + 3*d - 13. Let s(x) = 4*j(x) - 9*v(x). Determine l so that s(l) = 0.
-1, 1/4, 1
Let o = -58 - -58. Let c(n) be the first derivative of 4 + o*n - 1/24*n**4 - 1/18*n**3 + 0*n**2. Determine f so that c(f) = 0.
-1, 0
Let q(f) be the second derivative of f**8/504 + f**7/315 - f**6/60 - f**5/90 + f**4/18 - 2*f**2 + f. Let i(d) be the first derivative of q(d). Solve i(a) = 0.
-2, -1, 0, 1
Let l(m) be the first derivative of -1/50*m**5 + 1/30*m**4 - 2 - 1/5*m**2 + m + 1/15*m**3. Let o(x) be the first derivative of l(x). Factor o(p).
-2*(p - 1)**2*(p + 1)/5
Let g(u) be the second derivative of -u**7/420 + u**6/60 - u**5/20 + u**4/12 + u**3/6 + u. Let t(o) be the second derivative of g(o). Factor t(x).
-2*(x - 1)**3
Let p(y) be the second derivative of 3*y**5/50 - 5*y**4/6 + 29*y**3/15 - 7*y**2/5 + 21*y. Let p(z) = 0. Calculate z.
1/3, 1, 7
Suppose -j + 5 = q, -2*q + 10 = 4*j - j. Let p = -2/83 - -172/249. Factor 0*l + j - 2/3*l**4 + 0*l**3 + p*l**2.
-2*l**2*(l - 1)*(l + 1)/3
Let y be 1*-2 + (-65)/(-13). Let u(z) be the second derivative of 1/12*z**4 + 1/30*z**6 + 1/10*z**5 - 2*z + 0*z**2 + 0 + 0*z**y. Suppose u(o) = 0. What is o?
-1, 0
Let p(m) be the third derivative of -1/60*m**6 - 6*m**2 - 1/189*m**7 + 0*m + 0*m**3 - 1/1512*m**8 - 1/54*m**4 - 7/270*m**5 + 0. Factor p(d).
-2*d*(d + 1)**3*(d + 2)/9
Let y(t) be the first derivative of 0*t**4 + 0*t**3 - 5 + 2/35*t**5 + 0*t**2 + 0*t - 1/21*t**6. Factor y(j).
-2*j**4*(j - 1)/7
Let w = -40/3 + 89/6. What is z in -3/2*z**5 + 0*z**3 + 3*z**2 + w*z + 0 - 3*z**4 = 0?
-1, 0, 1
Let q(n) = -2*n**2 + 8*n - 14. Let u(z) = 3*z**2 - 9*z + 13. Let d(l) = -2*q(l) - 3*u(l). Let t(w) = w**2 - 2*w + 2. Let f(g) = 2*d(g) + 11*t(g). Factor f(v).
v**2
Let j(v) be the second derivative of v**6/270 - 7*v**4/108 - v**3/9 + 58*v. Determine p so that j(p) = 0.
-2, -1, 0, 3
Suppose 2*y - 5*y + 0*y**3 + 3*y**3 - 3*y**2 + 0*y + 3*y**4 = 0. Calculate y.
-1, 0, 1
Let k = -2/5 - -9/10. Suppose 2*f = 1 + 3. Factor p - k - 1/2*p**f.
-(p - 1)**2/2
Let i = -6 - -6. Suppose i = -2*u - 3*p + 1, p = u - 3*p - 6. Let 0 + 0*z - 2/7*z**4 + 4/7*z**3 + 0*z**u = 0. What is z?
0, 2
Let l(x) = -x - 2. Let u be l(-7). Suppose 0 = -u*b + 3 + 7. Factor -1/5*a**3 + 0*a**b + 0 + 0*a.
-a**3/5
Suppose 0 - 1/3*j**2 + 0*j**3 + 1/6*j**5 - 1/6*j + 1/3*j**4 = 0. What is j?
-1, 0, 1
Let q(j) be the third derivative of j**5/450 + j**4/90 + 16*j**2 - j. Factor q(n).
2*n*(n + 2)/15
Suppose -3*j = -6*j. Factor -16*x + j*x**3 + x**3 - 9*x**2 - 27 + 43*x.
(x - 3)**3
Let s(t) be the first derivative of -t**4/5 + 4*t**3/15 + 2*t**2 + 12*t/5 - 20. Let s(h) = 0. Calculate h.
-1, 3
Let b be (56/126)/((-44)/(-36)). Find c, given that -b + 2/11*c**2 + 2/11*c = 0.
-2, 1
Suppose -2*i = -3*u - 9 - 7, -5*u - 30 = -5*i. Let s = 1 + i. Factor d**s + d**3 - 2*d**2 + 0*d**2.
2*d**2*(d - 1)
Let r(n) = 5*n**3 + 3*n**2 + 8. Let w(c) = -3*c**3 - 2*c**2 - 5. Let a(f) = 3*f - 5. Let g be a(-5). Let t = -12 - g. Let d(h) = t*w(h) + 5*r(h). Factor d(o).
o**2*(o - 1)
Let n be (7 - 2)*(-6)/(-5). Let o be ((-4)/14)/(n/(-14)). Factor -2/3*d**3 + 0*d**2 + 0 + o*d.
-2*d*(d - 1)*(d + 1)/3
Suppose s = -2*s + 12. Let -3/2 + 3*y**2 + 3*y**3 - 3/2*y**5 - 3/2*y**s - 3/2*y = 0. What is y?
-1, 1
Let g(u) be the third derivative of u**8/168 - u**6/20 - u**5/15 - u**2. Factor g(o).
2*o**2*(o - 2)*(o + 1)**2
Let q = 9 - 7. Let r(f) be the first derivative of -2/3*f**4 + 2/3*f + q*f**3 - 2 - 2*f**2. What is m in r(m) = 0?
1/4, 1
Let k(p) = p**2 - 3*p + 4. Let c be k(3). Factor -4*n**2 - 11*n - c*n**3 + 11*n.
-4*n**2*(n + 1)
Let f(l) be the second derivative of 0*l**2 + 1/10*l**5 + 0 - 1/15*l**6 + 3*l + 0*l**3 + 0*l**4. Determine b so that f(b) = 0.
0, 1
Determine v so that 0 + 1/5*v**3 + 3/5*v**2 + 2/5*v = 0.
-2, -1, 0
Let h = 8 + -6. Let c(v) be the second derivative of 1/6*v**3 + 1/20*v**5 - 2*v + 1/6*v**4 + 0 + 0*v**h. Factor c(j).
j*(j + 1)**2
Let z(v) be the second derivative of -3*v**5/40 - 3*v**4/8 - v**3/2 + 21*v. Determine l so that z(l) = 0.
-2, -1, 0
Let n(k) = k**3 + k**2 - 2*k. Let w(i) = -i**3 - 9*i**2 - 4*i. Let z(s) = 2*n(s) + w(s). Factor z(x).
x*(x - 8)*(x + 1)
Factor 14*w + 400*w**3 + 0*w**4 - 414*w**3 - 2*w**2 + 2*w**4.
2*w*(w - 7)*(w - 1)*(w + 1)
Let y(k) be the second derivative of k**6/45 - k**5/3 + 2*k**4 - 6*k**3 + 9*k**2 + 9*k. Find x, given that y(x) = 0.
1, 3
Let g(y) be the third derivative of y**5/30 - y**4/48 - 7*y**2. Factor g(x).
x*(4*x - 1)/2
Suppose 5*b + 2*k - 7 = 11, -30 = -5*b - 5*k. Let u = -1/8 + 3/8. Factor 1/4*z + 0 + u*z**b.
z*(z + 1)/4
Let d(j) = 7*j**2 - 7*j + 6. Let x(t) = t**2 - t + 1. Suppose 3*i + 3 = -0. Let k(m) = i*d(m) + 6*x(m). Factor k(l).
-l*(l - 1)
Let q(p) be the third derivative of p**8/6720 - p**6/240 - 3*p**5/20 + 2*p**2. Let x(r) be the third derivative of q(r). Factor x(i).
3*(i - 1)*(i + 1)
Let g(t) be the third derivative of -t**6/30 + 2*t**5/5 - 2*t**4 + 16*t**3/3 - 2*t**2. Solve g(r) = 0 for r.
2
Let p(o) be the first derivative of o**4/20 - o**3/15 - 2. Factor p(x).
x**2*(x - 1)/5
Let o(c) be the third derivative of -c**5/330 - 2*c**2 + 18. Factor o(h).
-2*h**2/11
Suppose 15 = 3*t + 2*t. Factor -8*w**2 - t + 6*w**4 + 3 + 10*w**3 + 4*w**2.
2*w**2*(w + 2)*(3*w - 1)
Let n(b) be the first derivative of -1/18*b**3 + 0*b - 1/6*b**2 + 3. Factor n(o).
-o*(o + 2)/6
Factor 0*y + 0 + 4/5*y**2 + 4/5*y**3 + 1/5*y**4.
y**2*(y + 2)**2/5
Let t be -2 - -7 - (3 - 3). Let u(n) be the first derivative of 2 - 1/7*n**4 + 2/7*n**2 - 2/35*n**t + 2/7*n + 0*n**3. What is s in u(s) = 0?
-1, 1
Let n(r) = -r**3 + 5*r**2 + 4*r + 4. Let q be n(5). Let g be 4/(-10) - q/(-10). What is f in 0*f - 2/9*f**g + 2/9 = 0?
-1, 1
Let t(w) be the second derivative of w**7/42 - 7*w**6/90 - w**5/60 + 7*w**4/36 - w**3/9 + 7*w. Solve t(v) = 0 for v.
-1, 0, 1/3, 1, 2
Let q(d) = -2*d**3 - 10*d**2 + 2*d + 8. Let p(c) = 9*c**3 + 51*c**2 - 9*c - 40. Let r(u) = -2*p(u) - 11*q(u). Factor r(w).
4*(w - 1)*(w + 1)*(w + 2)
Let v be 6/(-10) + (-18)/(-5). Let o(r) be the third derivative of 0*r + 2*r**2 - 1/30*r**5 + 0*r**v + 1/12*r**4 + 0. Suppose o(m) = 0. What is m?
0, 1
Let g(f) = -6*f