- 1)/9
Let m = -12 + -2. Let v = 20 + m. Determine u, given that 9*u - v*u**2 - 1 - u**2 - 1 = 0.
2/7, 1
Suppose 0 = 5*c + 4 - 14. Find z, given that -3 - z**3 + 3 - 19*z**2 + 20*z**c = 0.
0, 1
Let f(o) = 3*o**4 + 15*o**3 + 18*o**2 - 12*o - 24. Let z(b) = -b**4 - 5*b**3 - 6*b**2 + 4*b + 8. Let l(c) = -4*f(c) - 11*z(c). Factor l(n).
-(n - 1)*(n + 2)**3
Factor -p - 3*p + 2*p - 8*p**2 + 0*p.
-2*p*(4*p + 1)
Let u = 7 - 4. Suppose 1 = -s + u. Let 0 + s*m + 2*m**2 + 3 - 3 = 0. What is m?
-1, 0
Let j(u) be the second derivative of 0*u**4 + 0*u**2 + 1/100*u**5 - 1/210*u**7 + 0*u**3 + 0 + 7*u + 0*u**6. Determine p, given that j(p) = 0.
-1, 0, 1
Let t(q) be the second derivative of -q**8/1344 - q**7/210 - q**6/96 - q**5/120 + 5*q**2/2 + q. Let p(u) be the first derivative of t(u). Factor p(n).
-n**2*(n + 1)**2*(n + 2)/4
Suppose 0 = -5*o + 3*o. Determine b, given that -8/5*b**5 - 2/5*b**3 + 0*b**2 + 0*b + o + 2*b**4 = 0.
0, 1/4, 1
Suppose 0*l + 65 = 13*l. Factor 0*o - 2/3*o**3 + 0 + 0*o**2 + 0*o**4 + 2/3*o**l.
2*o**3*(o - 1)*(o + 1)/3
Let y(p) = p**2 + 5*p + 6. Let s be y(-4). Let k = 7 + -5. Factor k*u + 0*u**s + 4*u**2 - 3*u**3 + 5*u**3.
2*u*(u + 1)**2
Suppose 2/19*i**2 - 8/19 + 6/19*i**3 - 24/19*i = 0. What is i?
-2, -1/3, 2
Let k(h) = -h**4 - 10*h**3 - 15*h**2 + 6*h - 6. Let a(n) = 10*n**4 + 110*n**3 + 165*n**2 - 65*n + 65. Let i(c) = -6*a(c) - 65*k(c). Find j such that i(j) = 0.
-1, 0, 3
Let c(b) = b + 1. Let y be c(4). Let f(w) be the third derivative of -1/210*w**7 + 0*w**6 - 2*w**2 + 1/60*w**y + 0*w**3 + 0 + 0*w + 0*w**4. Factor f(v).
-v**2*(v - 1)*(v + 1)
Let a(m) be the first derivative of -2*m**3/21 + m**2/7 + 4*m/7 + 9. Determine l so that a(l) = 0.
-1, 2
Let i(h) = -8*h**5 + 56*h**4 + 48*h**3 - 16*h**2 + 20*h + 20. Let d(r) = -r**5 - r**4 - r - 1. Let k(l) = -20*d(l) - i(l). What is z in k(z) = 0?
-1, 0, 2/7, 2
Suppose 0 = -3*o - 2*c + 9, -o - 1 = -3*o - 3*c. Let b = 7 - o. Suppose -l**3 + 2*l**4 - 2*l**b + l**3 = 0. Calculate l.
-1, 0, 1
Let s(l) be the third derivative of -7*l**6/480 + l**5/15 - 11*l**4/96 + l**3/12 + 6*l**2. Find u, given that s(u) = 0.
2/7, 1
Let i(f) be the first derivative of 0*f**2 + 2/3*f - 4 - 2/9*f**3. Suppose i(k) = 0. Calculate k.
-1, 1
Let g(i) be the first derivative of 0*i + 1/4*i**4 - 7/6*i**3 + 7/10*i**5 - 1 - 1/2*i**2. Factor g(j).
j*(j - 1)*(j + 1)*(7*j + 2)/2
Solve 157*n**2 - 4 - 8 - 154*n**2 = 0 for n.
-2, 2
Factor -u**2 - u - 7*u**2 - u**3 + 6*u**2.
-u*(u + 1)**2
Let u(h) = 10*h**5 + 3*h**4 - 13*h**3 + h**2 - 4*h + 3. Let o(z) = -3*z**5 - z**4 + 4*z**3 + z - 1. Let i(s) = -7*o(s) - 2*u(s). Let i(j) = 0. Calculate j.
-1, 1
Suppose -10*v = -9*v - 3. Suppose 0 = -3*k + 12, -5*k + 26 = v*a - 0*a. Let -7/3*n**a + 5/3*n + 2/3 = 0. What is n?
-2/7, 1
Let o(w) = 20*w**4 + 71*w**3 + 89*w**2 - 9*w + 9. Let x(v) = 5*v**4 + 18*v**3 + 22*v**2 - 2*v + 2. Let j(a) = -2*o(a) + 9*x(a). Factor j(b).
5*b**2*(b + 2)**2
Factor 5/4*l**2 + 1/4*l**4 + 0 + 1/2*l + l**3.
l*(l + 1)**2*(l + 2)/4
Determine s, given that -4/5 + 6/5*s - 2/5*s**2 = 0.
1, 2
Let l(r) = r**3 - 6*r**2 - 7*r - 7. Let k(h) = h**2 + h + 1. Let w(o) = -21*k(o) - 3*l(o). Solve w(c) = 0 for c.
-1, 0
Let z(t) be the third derivative of 0*t**3 + 0*t - 1/360*t**6 - 1/60*t**5 + 0 + 3*t**2 - 1/36*t**4. Factor z(p).
-p*(p + 1)*(p + 2)/3
Let p(f) be the second derivative of 1/9*f**3 + 0 - f - 1/30*f**5 + 1/18*f**4 - 1/3*f**2. Solve p(x) = 0 for x.
-1, 1
Suppose 9 = 3*t, -2*t - 7 + 3 = 2*q. Let m(n) = n**2 + 5*n + 4. Let a be m(q). Suppose -1 + 4*h + h**2 + 5*h**2 + 5 - 3 + h**4 + a*h**3 = 0. What is h?
-1
Let f(a) be the first derivative of -a**4/28 - a**3/21 + a**2/14 + a/7 + 26. Factor f(z).
-(z - 1)*(z + 1)**2/7
Let g(j) be the first derivative of 9*j**4/26 - 14*j**3/39 - 2*j**2/13 + 15. Suppose g(m) = 0. What is m?
-2/9, 0, 1
Let q = 69/2 - 34. Factor 0*l**2 + 0*l - q*l**3 + 1/2*l**4 + 0.
l**3*(l - 1)/2
Let j = -2805/2 - -1430. Let v = j + -27. Find t, given that 0 - 1/2*t - v*t**2 = 0.
-1, 0
Factor 3/2*d**2 - 3/2*d**4 + 0*d**3 + 0 + 3/4*d**5 - 3/4*d.
3*d*(d - 1)**3*(d + 1)/4
Let i(a) be the third derivative of -a**7/1470 + a**6/210 - a**5/105 + 9*a**2. Factor i(v).
-v**2*(v - 2)**2/7
Let d = 54 + -360/7. Find g, given that -2*g - d*g**2 + 4/7 = 0.
-1, 2/9
Let w(c) be the first derivative of -c**5/5 + 5*c**4/4 - 3*c**3 + 7*c**2/2 - 2*c - 25. Factor w(o).
-(o - 2)*(o - 1)**3
Let m(t) be the third derivative of t**8/80640 + t**7/5040 + t**6/720 - t**5/20 - t**2. Let x(a) be the third derivative of m(a). What is n in x(n) = 0?
-2
Let t be (-6 - -12) + 6/(-2). Let v(u) be the first derivative of 2/3*u**t + 1/4*u**4 + 0*u + 1/2*u**2 + 2. Factor v(p).
p*(p + 1)**2
Let l(j) be the first derivative of -j**6/2 + 6*j**5/5 + 3*j**4/4 - 2*j**3 - 2. Let l(r) = 0. Calculate r.
-1, 0, 1, 2
Let z be (1/(32/(-24)))/(1/(-4)). Factor 0*o - 2/3*o**2 + 0*o**z + 2/3*o**4 + 0.
2*o**2*(o - 1)*(o + 1)/3
Let h(c) be the third derivative of 1/70*c**5 + 1/735*c**7 + 0*c + 1/140*c**6 + 0 + c**2 + 0*c**3 + 1/84*c**4. Solve h(t) = 0 for t.
-1, 0
Factor -2 + 4 + 3 + 8*y - 1 + 4*y**2.
4*(y + 1)**2
Let v be -2 + 4 - (1 - 3). Factor -5*a**4 - 1024 + 0*a**4 - 64*a**3 - 1024*a - 3*a**v - 384*a**2 + 4*a**4.
-4*(a + 4)**4
Let z be (-3)/15 - 786/(-3780). Let b(d) be the second derivative of 0*d**5 + 0 - z*d**7 + 1/18*d**4 - 1/45*d**6 + 0*d**2 + 1/18*d**3 - d. Factor b(g).
-g*(g - 1)*(g + 1)**3/3
Let a(d) be the second derivative of -49*d**5/10 + 91*d**4/6 - 17*d**3 + 9*d**2 - 13*d. Find i such that a(i) = 0.
3/7, 1
Let d(z) be the third derivative of -z**5/120 + z**4/12 - z**3/3 - 10*z**2. Find l such that d(l) = 0.
2
Let z(i) be the second derivative of i**7/70 + i**6/40 - i**5/10 - 3*i**2/2 - i. Let p(s) be the first derivative of z(s). Suppose p(q) = 0. Calculate q.
-2, 0, 1
Let b = 52/3 + -17. Factor 0*u + b*u**3 + u**4 + 0 - 2/3*u**2.
u**2*(u + 1)*(3*u - 2)/3
Let d(n) = 15*n**5 - 30*n**4 + 6*n**2 - 21*n. Let a(c) = -c**5 + c**4 - c**3 - c**2 + c. Let g(t) = -18*a(t) - d(t). Solve g(i) = 0.
-1, 0
Let i(f) = f - 2. Let c be i(10). Let d = c + -5. Find o such that -6*o - 4*o**d + 7 + 2*o**3 - 5 + 6*o**2 = 0.
1
Let v = -1/3 - -5/6. Factor 0*c + c**3 + 1/2*c**4 + v*c**2 + 0.
c**2*(c + 1)**2/2
Let t be (-12)/(-18) - 8/(-6). Suppose 0 = a - 0*c - 2*c + t, -4*a = 4*c - 16. What is u in -4*u**3 + 4*u**5 - 3*u**3 + 0*u**5 + 3*u**4 + 2*u**4 - a*u**2 = 0?
-2, -1/4, 0, 1
Let v(s) be the third derivative of s**6/180 + s**5/90 - s**4/36 - s**3/9 + s**2. Let v(o) = 0. What is o?
-1, 1
Let l(i) be the second derivative of -i**7/147 - 2*i**6/35 - i**5/5 - 8*i**4/21 - 3*i**3/7 - 2*i**2/7 - 3*i. Factor l(r).
-2*(r + 1)**4*(r + 2)/7
Suppose -2*h + 2*h - 2*h**4 + 12*h - 2*h**4 + 4*h**2 - 12*h**3 = 0. What is h?
-3, -1, 0, 1
Let m(h) be the first derivative of 15*h**4/28 - 8*h**3/7 + 3*h**2/14 + 6*h/7 - 5. Factor m(a).
3*(a - 1)**2*(5*a + 2)/7
Let r(d) be the first derivative of d**3/3 - 7*d**2/2 + 12*d + 22. Factor r(g).
(g - 4)*(g - 3)
Let z(j) be the third derivative of -j**6/420 - 5*j**5/42 - 2*j**4 - 48*j**3/7 + 2*j**2 - 8. Solve z(i) = 0.
-12, -1
Factor -2/9*n**2 - 2/3*n + 0.
-2*n*(n + 3)/9
Suppose 34 = 5*h + 9. Suppose 0 = -t + 3*n - h, -t = 2*n + n - 13. What is d in -4/5*d**3 - 2/5*d**t + 0*d + 0 - 2/5*d**2 = 0?
-1, 0
Let y(r) be the third derivative of -r**6/24 + r**5/3 + 23*r**2. Let y(x) = 0. What is x?
0, 4
Suppose -j - 4 + 6 = 0. Let c be (-57)/(-18) + (-1)/2. Suppose 2/3 + 8/3*o - j*o**4 + 4/3*o**2 - c*o**3 = 0. What is o?
-1, -1/3, 1
Let 0 + 9*i + 3/2*i**5 - 3/2*i**2 - 21/2*i**3 + 3/2*i**4 = 0. Calculate i.
-3, -1, 0, 1, 2
Suppose 0 = 3*w - w - 4. Factor w*m**3 + 5*m**2 + 0*m**3 - 3*m**2.
2*m**2*(m + 1)
Let b(i) be the third derivative of -i**6/540 - i**5/90 - i**4/36 - i**3/27 + 21*i**2. Solve b(v) = 0.
-1
Let l(p) be the third derivative of -p**8/4480 - p**7/336 - p**6/60 - p**5/20 + p**4/8 - 5*p**2. Let f(v) be the second derivative of l(v). Factor f(x).
-3*(x + 1)*(x + 2)**2/2
Let z(m) be the second derivative of m**8/23520 - m**7/8820 - m**6/630 + m**5/105 - m**4/4 + 7*m. Let p(h) be the third derivative of z(h). Factor p(l).
2*(l - 2)*(l - 1)*(l + 2)/7
Let c(h) = h**3 + h**2 + h + 1. Let l(f) = 6*f**3 - 10*f - 4. Let y(x) = 2*c(x) + l(x). Find b such that y(b) = 0.
-1, -1/4, 1
Let d(r) = -2*r**