g**j - 1/18*g**4 - 1/3*g**3 + 0 - 3*g. Factor t(o).
-2*(o + 1)*(o + 2)/3
Let i(u) be the third derivative of -u**6/200 + u**5/150 + 7*u**4/120 + u**3/15 + 12*u**2. Let i(z) = 0. Calculate z.
-1, -1/3, 2
Let r be 1 - 1 - (-1 - 0). Let g = r + 1. Factor 2*d**2 + 4*d - 4*d**2 + 0*d**g.
-2*d*(d - 2)
Let s(u) = -u + 3. Let f be s(3). Factor -5*q - 3*q + f + 2 + 6*q**2 + 2*q - 2*q**3.
-2*(q - 1)**3
Let l(s) be the first derivative of -15*s**3 + 15*s**2/2 + 10*s - 6. Factor l(b).
-5*(3*b - 2)*(3*b + 1)
Let m(y) = -2*y - 17. Let p be m(-10). Let v(f) be the third derivative of 2*f**2 + 1/90*f**5 + 0*f**4 + 0*f - 1/9*f**p + 0. Find j, given that v(j) = 0.
-1, 1
Let v(a) = -a**2 - a. Let h(k) = 4*k**3 + 10*k**2 - 2*k. Let w(x) = h(x) + 6*v(x). Factor w(c).
4*c*(c - 1)*(c + 2)
Let x(t) be the third derivative of 0 - 1/480*t**6 - 2*t**2 - 1/120*t**5 + 0*t + 0*t**4 + 0*t**3. Suppose x(g) = 0. Calculate g.
-2, 0
Let p be (-9)/15*(-4 - 1). Factor -1 - 2*w**2 - 5/2*w - 1/2*w**p.
-(w + 1)**2*(w + 2)/2
Let a = -1/10 + 1/6. Let o(b) be the first derivative of -1 + 0*b**2 - a*b**3 + 1/5*b. Factor o(y).
-(y - 1)*(y + 1)/5
Let d(g) = -g**2. Let z be d(0). Let m be 3/((-3)/(-2) - z). Factor 0 + 0*p**4 + 0*p - 1/3*p**5 + 0*p**m + 1/3*p**3.
-p**3*(p - 1)*(p + 1)/3
Let z(d) = 2*d + 8. Let r be z(-4). Let o(b) be the second derivative of -1/40*b**5 + 0*b**2 + 0 + 1/12*b**3 + b + r*b**4. Factor o(a).
-a*(a - 1)*(a + 1)/2
Let v(f) be the second derivative of f**6/300 + 7*f**5/200 + 13*f**4/120 - f**3/20 - 9*f**2/10 - 37*f. Factor v(x).
(x - 1)*(x + 2)*(x + 3)**2/10
Let t(d) = d**2 + d. Let g(n) = -9*n**2 - 11*n - 2. Let v(u) = -2*g(u) - 22*t(u). Suppose v(w) = 0. What is w?
-1, 1
Let i be 4/(-22) + (-184)/(-44). Factor -3*n**i + 27*n**3 - 27*n**3 - 2*n**2 + 5*n**4.
2*n**2*(n - 1)*(n + 1)
Let d(p) = 2*p**4 - 10*p**3 + 10*p**2 - 3*p. Let i(a) = a**4 + a**3 - a**2. Let r(f) = -d(f) - i(f). Factor r(k).
-3*k*(k - 1)**3
Suppose -5*l - 3*f - 32 = -2, 4*l + 2 = 2*f. Let p be (l - -4)*(2 + 1). Let 0 + 2/9*j + 0*j**p - 2/9*j**5 + 4/9*j**2 - 4/9*j**4 = 0. Calculate j.
-1, 0, 1
Suppose -75 = -3*t + 2*h - 7, -h + 26 = t. Let p be (t/14)/((-15)/(-21)). Factor 18/5*b**2 + 3/5 + 3/5*b**4 + 12/5*b**3 + p*b.
3*(b + 1)**4/5
Let m(x) be the first derivative of -x**4/14 - 2*x**3/21 + 5. What is t in m(t) = 0?
-1, 0
Factor 3*l**3 + 12*l**2 - l - 9*l - 5*l**3 + 0*l.
-2*l*(l - 5)*(l - 1)
Find p, given that 0 + 2/9*p - 2/9*p**2 = 0.
0, 1
Let m(f) = -f**3 + f**2 + f + 1. Let h(i) = 2*i**3 - 11*i**2 - 2*i + 1. Let d(c) = -h(c) - 5*m(c). Factor d(l).
3*(l - 1)*(l + 1)*(l + 2)
Let p be -3 - (340/(-6) - 1). Let u = p - 54. Find l, given that 2/3 + u*l**2 - 4/3*l = 0.
1
Let o be (1 + 1 - 3)*(7 - 10). Suppose -9/2*s**2 + 27/2*s + 1/2*s**o - 27/2 = 0. What is s?
3
Determine z, given that -4/9*z + 0 + 4/9*z**2 = 0.
0, 1
Let f(z) be the first derivative of 6*z**5/25 + 4*z**4/5 + 4*z**3/5 - 2*z/5 - 3. Factor f(o).
2*(o + 1)**3*(3*o - 1)/5
Let z = 17/48 - 1/48. Factor -2/3*j + z*j**2 + 0.
j*(j - 2)/3
Let f(r) be the second derivative of -r**6/120 + r**5/80 + 5*r**4/48 + r**3/8 + 7*r. Suppose f(j) = 0. Calculate j.
-1, 0, 3
Let f(a) be the second derivative of 3*a**5/140 - a**4/14 - a**3/14 + 3*a**2/7 + 24*a. Suppose f(c) = 0. What is c?
-1, 1, 2
Let f(y) be the first derivative of -y**4/4 + 4*y**3/3 - 2*y**2 + 17. Factor f(a).
-a*(a - 2)**2
What is u in 11*u + 9*u**3 - 10*u**2 - 4*u - 7*u**2 - 6*u**4 - 1 + 8*u**3 = 0?
1/3, 1/2, 1
Let q(y) be the third derivative of -y**7/6300 + y**6/1800 + y**4/8 + 7*y**2. Let p(n) be the second derivative of q(n). Factor p(u).
-2*u*(u - 1)/5
Let l(n) be the third derivative of -n**6/300 + n**5/75 + 31*n**2. Let l(x) = 0. Calculate x.
0, 2
Let v(t) = -t**5 - t**3 - t**2 - t + 1. Let a(p) = -3*p**5 + p**4 + 3*p**3 - 7*p**2 - 6*p + 6. Let o(k) = a(k) - 2*v(k). Solve o(h) = 0.
-2, -1, 1, 2
Let n(g) be the first derivative of -2*g**6/3 + 4*g**5/5 + 7*g**4 - 4*g**3/3 - 12*g**2 + 44. Determine k so that n(k) = 0.
-2, -1, 0, 1, 3
Let c = -10 + 12. Let s be 8/c + 4/4. Let -4*o + 2*o + 2*o**3 + s - 4 - o**4 = 0. Calculate o.
-1, 1
Let m(j) be the third derivative of j**9/1512 - j**8/210 + j**7/84 - j**6/90 + j**3/3 + 2*j**2. Let x(z) be the first derivative of m(z). Factor x(q).
2*q**2*(q - 2)*(q - 1)**2
Let q(s) be the second derivative of -1/9*s**3 + s + 0*s**2 + 1/30*s**5 + 0 + 0*s**4. Factor q(y).
2*y*(y - 1)*(y + 1)/3
Let t = -78 + 80. Factor 9/2 - 3*i + 1/2*i**t.
(i - 3)**2/2
Suppose 19 + 2 = 3*k. Let b(c) be the second derivative of -3*c + 0*c**2 + 1/5*c**5 + 0 + 0*c**4 + 0*c**3 - 1/3*c**k + 1/3*c**6. Suppose b(w) = 0. Calculate w.
-2/7, 0, 1
Let g(t) be the first derivative of -t**7/630 + t**6/180 - t**4/36 + t**3/18 - t**2 - 1. Let m(h) be the second derivative of g(h). What is k in m(k) = 0?
-1, 1
Let t(y) be the first derivative of -y**5/20 - 3*y**4/8 - 2*y**3/3 - 40. Factor t(g).
-g**2*(g + 2)*(g + 4)/4
Let z(b) = -b**2 - 7*b + 3. Let l be z(-7). Factor -1/4*o**l + 1/4*o**2 + 1/2*o + 0.
-o*(o - 2)*(o + 1)/4
Let z(n) be the second derivative of -1/18*n**3 + 0*n**2 + 1/36*n**4 - 2*n + 0. Factor z(q).
q*(q - 1)/3
Let l(x) be the second derivative of 0*x**3 + 0 + 3*x - 1/36*x**4 + 0*x**5 + 1/12*x**2 + 1/180*x**6. Solve l(m) = 0 for m.
-1, 1
Let r(j) = -j**2 + 12*j + 2. Let p be r(12). Let f(y) be the second derivative of 0*y**2 - p*y + 1/6*y**3 + 1/6*y**4 + 0 + 1/20*y**5. Factor f(d).
d*(d + 1)**2
Let z(l) = l**2 - 9*l + 10. Let u be z(8). Let q(t) be the first derivative of 2*t**u - 2/5*t**5 + 2 + 0*t**3 - t**4 + 2*t. Suppose q(d) = 0. Calculate d.
-1, 1
Let x(o) be the third derivative of 0 - 11/420*o**5 - 1/42*o**4 - 8*o**2 + 1/140*o**6 + 2/21*o**3 + 0*o. Determine h, given that x(h) = 0.
-2/3, 1/2, 2
Let o be 2/(-20) - ((-6)/5)/2. Factor -1/2*d**3 + 0*d - o*d**5 + d**4 + 0*d**2 + 0.
-d**3*(d - 1)**2/2
Let i(y) be the first derivative of -y**6/75 + y**5/25 - y**4/30 + 5*y - 2. Let o(z) be the first derivative of i(z). Factor o(u).
-2*u**2*(u - 1)**2/5
Let t(p) be the third derivative of -p**8/672 + p**7/630 + p**6/72 - p**5/30 + p**4/12 + 2*p**2. Let m(q) be the second derivative of t(q). Factor m(j).
-2*(j - 1)*(j + 1)*(5*j - 2)
Let b(l) = -3*l**3 - l - 2. Let s be b(-1). Factor -2/3*k + 1/3*k**s + 1/3.
(k - 1)**2/3
Let y(d) = -6*d**4 + 25*d**3 - 38*d**2 + 11*d + 11. Let x(z) = -z**3 + z + 1. Let k be ((-3)/2)/((-1)/2). Let q(f) = k*x(f) - y(f). Find b, given that q(b) = 0.
-1/3, 1, 2
Find u such that 8*u**2 - u + u**3 + 0*u + 2 - 10*u**2 + 0*u = 0.
-1, 1, 2
Let y be (-3 + 5 - -3)*1. Determine p so that -y*p**2 + 4*p + 3*p**2 + 0 + 0 = 0.
0, 2
Let m(t) be the third derivative of 0*t + 1/60*t**4 - 1/150*t**5 - 1/300*t**6 + 0 - 3*t**2 + 1/15*t**3. Factor m(f).
-2*(f - 1)*(f + 1)**2/5
Let f(l) be the second derivative of l**7/56 + 3*l**6/20 + 39*l**5/80 + 3*l**4/4 + l**3/2 + 12*l. Determine z, given that f(z) = 0.
-2, -1, 0
Let n(v) be the third derivative of 0*v - 7/480*v**6 - 1/20*v**5 + 3*v**2 + 0 + 1/12*v**3 - 1/32*v**4. What is i in n(i) = 0?
-1, 2/7
Let i(p) be the first derivative of -p**3/6 - 2*p**2 - 8*p - 4. Find o, given that i(o) = 0.
-4
Let b(j) be the second derivative of -j**7/168 + j**6/60 - j**4/24 + j**3/24 + 11*j. Solve b(s) = 0.
-1, 0, 1
Let a(q) be the first derivative of -q**6/900 + q**5/450 + q**4/90 - 9*q**2/2 + 9. Let t(h) be the second derivative of a(h). Factor t(l).
-2*l*(l - 2)*(l + 1)/15
Let g(f) be the second derivative of 2*f + 0*f**2 - 4/5*f**5 + 2/3*f**3 - 1/3*f**6 - 1/6*f**4 + 0. Factor g(m).
-2*m*(m + 1)**2*(5*m - 2)
Let r = -18/7 - -68/21. Factor 2*g**2 - r*g**3 + 2/3 - 2*g.
-2*(g - 1)**3/3
Let j(p) = -1. Let l(v) = -12*v**3 + 26*v**2 - 16*v - 2. Let x(h) = 4*j(h) - l(h). Suppose x(f) = 0. What is f?
1/6, 1
Let m(a) be the first derivative of 1/4*a**4 + 2 + 6*a**2 - 8*a - 2*a**3. Suppose m(x) = 0. Calculate x.
2
Suppose -3*i = i - 64. Suppose 0 = 5*s + 4*v + 6, 4*s + i = 2*s - 5*v. Solve 4 + 3*a**2 + 26*a + 4*a**2 + 4*a**s + 29*a**2 = 0.
-2/5, -1/4
Let a be 0 - (4 - 1565/390 - 0). Let o(u) be the third derivative of 1/780*u**6 + 0 + 0*u - u**2 - 1/390*u**5 - a*u**4 + 0*u**3. Solve o(j) = 0 for j.
-1, 0, 2
Let w be 87/29*(0 + 2/10). Factor -1/5*g**2 + w*g - 2/5.
-(g - 2)*(g - 1)/5
Let u(j) be the second derivative of -2*j**5/55 - j**