x be (1/(-1))/(2/(-10)). Factor b + 2 + x*b + 8*b**2 + 2*b**3 - 2*b**2.
2*(b + 1)**3
Let n(v) = -v**5 + 8*v**3 + 3*v**2 - 7*v. Let s(i) = 3*i**5 - 16*i**3 - 5*i**2 + 13*i. Let p(g) = 5*n(g) + 3*s(g). Factor p(f).
4*f*(f - 1)**2*(f + 1)**2
Let v(d) = d + 8. Let y be v(-7). Let l = 1 + y. Factor -l*w**2 + 2*w**4 + 10*w - 10*w.
2*w**2*(w - 1)*(w + 1)
Let d be (-703)/(-185) - (-1 - 0). Factor -d*j - 26/5*j**2 - 2/5*j**4 - 12/5*j**3 - 8/5.
-2*(j + 1)**2*(j + 2)**2/5
Let u(x) be the second derivative of 0 + 1/60*x**6 + 0*x**3 - 3*x + 1/40*x**5 + 0*x**4 + 0*x**2. Suppose u(t) = 0. What is t?
-1, 0
Suppose -n = -0*n - 2. Suppose -n*y + y**2 - 2*y + 6*y + y**3 + 2*y**2 = 0. What is y?
-2, -1, 0
Let c(g) = 2*g**3 - 9*g**2 - 126*g. Let s be c(-6). Factor -2/3*h - 3*h**3 - 7/3*h**2 - 5/3*h**4 + s - 1/3*h**5.
-h*(h + 1)**3*(h + 2)/3
Let b(v) be the second derivative of -v**7/98 - v**6/7 - 27*v**5/35 - 27*v**4/14 - 27*v**3/14 + 13*v - 2. Factor b(m).
-3*m*(m + 1)*(m + 3)**3/7
Let f(m) = m. Let a(g) = 2*g**2 - 6*g. Let q(p) = -a(p) - 4*f(p). Solve q(d) = 0.
0, 1
Let f = 5 + -3. Let u(a) be the second derivative of -2/9*a**3 + 0 + 1/6*a**4 + 1/6*a**f + 1/90*a**6 - 1/15*a**5 - a. Factor u(v).
(v - 1)**4/3
Let z(y) be the third derivative of y**7/700 - 7*y**6/1200 + y**5/300 - 8*y**2 - 3. Factor z(r).
r**2*(r - 2)*(3*r - 1)/10
Factor -6/7*o - 4/7 - 2/7*o**2.
-2*(o + 1)*(o + 2)/7
Let m(q) be the third derivative of q**5/20 - q**4/4 + q**3/2 + 3*q**2. Suppose m(n) = 0. What is n?
1
Let n(p) be the third derivative of 0 + 0*p + 0*p**3 - 1/6*p**4 - 1/10*p**5 - 1/60*p**6 + 2*p**2. Factor n(t).
-2*t*(t + 1)*(t + 2)
Suppose -4*u + 3*u = -16. Suppose -u*j**3 - 54*j**3 - 28*j**3 - 8*j - 23*j**2 - 33*j**2 = 0. What is j?
-2/7, 0
Let k(m) be the second derivative of m**6/30 + m**5/10 - m**4/4 - 2*m**3/3 + 2*m**2 + 15*m. Let k(b) = 0. What is b?
-2, 1
Factor -71*s + 73*s + 0 - s**2 - 1.
-(s - 1)**2
Let j = 49/12 + -23/6. Factor 1/4*n + 0*n**2 + 0 + j*n**5 - 1/2*n**3 + 0*n**4.
n*(n - 1)**2*(n + 1)**2/4
Let q be 6/3*4/240. Let s(j) be the second derivative of 0*j**2 - q*j**5 - 1/9*j**3 - 1/9*j**4 + 0 + 2*j. What is d in s(d) = 0?
-1, 0
Let m(n) = n**2 + n - 2. Let c be m(-2). Suppose c*v + 1 - 3/4*v**2 - 1/4*v**3 = 0. Calculate v.
-2, 1
Let k(b) be the second derivative of -b**7/168 + b**5/40 - b**3/24 - 18*b. Suppose k(l) = 0. What is l?
-1, 0, 1
Let q(v) be the first derivative of 1 + 1/6*v**4 - 1/10*v**5 + 2*v + 0*v**3 + 0*v**2. Let g(f) be the first derivative of q(f). Factor g(w).
-2*w**2*(w - 1)
Let j(n) be the first derivative of -5*n**6/12 + 6*n**5/5 - 9*n**4/8 + n**3/3 - 4. Let j(f) = 0. What is f?
0, 2/5, 1
Suppose -5*l = 5*d - 25 - 0, -5*d - 3*l = -29. Suppose -5*q = -5*z - 20, 0 = 4*z + 1 + d. Suppose -1/2*u**3 + 0*u**q + 0 - 1/4*u**4 + 0*u = 0. Calculate u.
-2, 0
Let a(z) be the first derivative of 1 + 0*z**2 + 0*z - 2/3*z**3. Factor a(d).
-2*d**2
Let y(j) be the second derivative of j**4/12 - j**3/2 + j**2 + 3*j. Factor y(b).
(b - 2)*(b - 1)
Suppose 3*i - 1 = j, -5 = -0*j - 5*j + 5*i. Factor 2/5*d**j - 4/5*d + 2/5.
2*(d - 1)**2/5
Let k(z) = z**5 + z**2 - z + 1. Let d(g) = 7*g**5 - 9*g**3 - 2*g**2 - 4*g + 4. Let o = -14 - -15. Let x(y) = o*d(y) - 4*k(y). Find i, given that x(i) = 0.
-1, 0, 2
Suppose 2*i - 3*n + 2*n + 9 = 0, 5*n - 20 = 5*i. Let h(r) = r**2 + 5*r + 2. Let m be h(i). Solve 2/9*d**m + 0*d - 2/9*d**3 + 0 = 0 for d.
0, 1
Suppose -18*i + 11*i = 14*i. Factor i*w - 1/5*w**3 + 0 + 1/5*w**2 + 1/5*w**5 - 1/5*w**4.
w**2*(w - 1)**2*(w + 1)/5
Factor 4*d**5 - 6*d**3 - 14*d**3 + 6*d**4 - 2*d**2 + 20*d**3.
2*d**2*(d + 1)**2*(2*d - 1)
Let q(c) be the first derivative of -c**4/7 + 4*c**3/3 - 16*c**2/7 - 64*c/7 + 4. Determine u so that q(u) = 0.
-1, 4
Let j(o) be the second derivative of -o**5/5 + o**4/3 + 2*o. Factor j(g).
-4*g**2*(g - 1)
Let o(f) be the first derivative of f**3/9 - f/3 - 1. Let o(l) = 0. What is l?
-1, 1
Let u(v) = -9*v**4 - 12*v**3 - 6*v**2 + 12*v + 15. Let d(s) = -26*s**4 - 36*s**3 - 18*s**2 + 36*s + 44. Let z(k) = -6*d(k) + 17*u(k). Factor z(r).
3*(r - 1)*(r + 1)**2*(r + 3)
Let a(v) be the third derivative of -1/7*v**3 - 6*v**2 + 1/70*v**5 + 1/420*v**6 + 0*v + 0 - 1/84*v**4. Factor a(c).
2*(c - 1)*(c + 1)*(c + 3)/7
Let r be 0 + 0/(-3) + 45. Suppose 2*p + 5*t - 13 = 0, -r = -2*p - p + t. Solve -s**2 + 6*s**3 - 2*s**2 - p*s**4 + 23*s**4 = 0 for s.
-1, 0, 1/3
Suppose 2*l + 0*l - 7 = -3*j, 2 = -j - 5*l. Let b(n) be the second derivative of -1/18*n**4 + 0*n**5 + 0*n**2 + 2*n + 0 + 0*n**j + 1/45*n**6. Factor b(r).
2*r**2*(r - 1)*(r + 1)/3
Let q be 2*(-5)/(-4)*16/140. Determine a so that q*a**3 + 0*a**2 - 6/7*a - 4/7 = 0.
-1, 2
Factor 8/5*x - 6/5 - 2/5*x**2.
-2*(x - 3)*(x - 1)/5
Let w(v) be the first derivative of -v**7/70 - v**6/60 + v**5/60 - 2*v**2 + 2. Let z(f) be the second derivative of w(f). Factor z(i).
-i**2*(i + 1)*(3*i - 1)
Let 22*t**2 + 7*t**3 - t**3 + 0*t**3 + 4*t**2 + 6 + 26*t = 0. Calculate t.
-3, -1, -1/3
Suppose -5*y = f - 22, 2*f - 3*y = -0*y - 8. Suppose f*b + 32 = 4*o + 7*b, 2*b = 2*o + 2. Factor 7*r**3 + 3*r - o + 0*r**3 + 12*r**2 + 1.
(r + 1)**2*(7*r - 2)
Let q(r) be the second derivative of -r**4/38 - 8*r**3/57 - 4*r**2/19 + 21*r. Factor q(h).
-2*(h + 2)*(3*h + 2)/19
Let n = -10 - -15. Factor 0*c - 27/4*c**2 - 9/4*c**4 - 1/4*c**n + 0 - 27/4*c**3.
-c**2*(c + 3)**3/4
Factor 0 - 2/13*y**4 - 4/13*y**2 + 6/13*y**3 + 0*y.
-2*y**2*(y - 2)*(y - 1)/13
Factor 12/7*u**2 - 2/7*u**3 - 18/7*u + 0.
-2*u*(u - 3)**2/7
Let k(a) = 2*a - 5. Let c be k(4). Suppose 4*z - 3*y = 9, -4*z + 0*z = -y - c. Determine l, given that -1/2*l**5 + 3/2*l**4 + z + l - 3/2*l**2 - 1/2*l**3 = 0.
-1, 0, 1, 2
Factor -4*k**2 - 41*k - 14*k**3 + 0*k**3 + 41*k.
-2*k**2*(7*k + 2)
Suppose -5*w + 0 + 10 = 0. Let c be (w/(-4))/(6/(-78)). What is z in 2 + 1/2*z**4 + c*z**2 + 3*z**3 + 6*z = 0?
-2, -1
Suppose -5*m = -3*m - 10. Let 18*r**2 - r + m*r + 0*r**2 + 14*r**3 = 0. What is r?
-1, -2/7, 0
Let q = -1023 + 5118/5. Factor 0 - q*z + 6/5*z**2 - 3/5*z**3.
-3*z*(z - 1)**2/5
Let h(u) = 15*u + 3. Let j be h(2). Let x(y) = -y**3 - 3*y**2 - 4*y - 2. Let g(f) = 5*f**3 + 15*f**2 + 21*f + 11. Let w(z) = j*x(z) + 6*g(z). Factor w(s).
-3*s*(s + 1)*(s + 2)
Let v = -6/25 + 68/75. Determine a, given that 4/3*a**3 - 2/3*a**2 + 0 + 0*a - v*a**4 = 0.
0, 1
Let n(q) = -3*q**5 + q**4 - 5*q**3 - q**2. Let w(t) = -t**5 - t**3. Let x(j) = n(j) - 4*w(j). Factor x(s).
s**2*(s - 1)*(s + 1)**2
Suppose -18 = -2*f + 4*f. Let m be (3/f)/(2/(-18)). Factor -8*g**2 + g**5 - 8*g**4 - 2*g - 3*g**5 - 12*g**m + 0*g**3.
-2*g*(g + 1)**4
Let c(f) be the first derivative of 3*f**5/5 + 15*f**4/4 + 6*f**3 - 6*f**2 - 24*f - 8. What is v in c(v) = 0?
-2, 1
Factor 0 - 1/3*r - 1/3*r**2.
-r*(r + 1)/3
Determine i, given that 2/7*i**2 - 4/7*i + 2/7 = 0.
1
Let h(f) be the first derivative of -f**5/5 + f**4/2 - f**3/3 + 8. Solve h(x) = 0.
0, 1
Let o(t) be the second derivative of t**6/50 - 3*t**5/25 + 3*t**4/10 - 2*t**3/5 + 3*t**2/10 + 14*t. Solve o(a) = 0 for a.
1
Let g(a) be the second derivative of a**6/360 + a**5/120 + a**3/2 - 4*a. Let b(p) be the second derivative of g(p). Factor b(n).
n*(n + 1)
Let o be 24/10 - (-12)/(-30). Suppose 4*j + a = 14, -o*j - 4*a + 4 = -5*a. Let 0*p**3 - 2*p**j + p**3 = 0. Calculate p.
0
Let s(u) be the first derivative of u**4/36 - 3*u - 2. Let x(p) be the first derivative of s(p). Factor x(b).
b**2/3
Let k(y) = y - 12. Let d be k(14). Factor -1/2*r**d + 3/2*r + 0.
-r*(r - 3)/2
Let c = -1 + 5. Let 10*l**2 + 0*l**4 - 9*l**3 + 3*l**c - 4*l**2 = 0. What is l?
0, 1, 2
Let o be (4/(-14))/((-3)/7). Let x = -1 - -6. Find p, given that -2/3*p**2 + 0*p - 2/3*p**x + 0 + o*p**4 + 2/3*p**3 = 0.
-1, 0, 1
Let z(a) = 2*a**4 - a**5 - 3*a**3 + 8*a**3 + 2 - a - 3*a + 5*a**2. Let k(v) = v**4 + v**3 + v**2 - v + 1. Let w(y) = -3*k(y) + z(y). Factor w(n).
-(n - 1)**2*(n + 1)**3
Factor 1/4*z**3 + 0 + 0*z**2 - 1/4*z.
z*(z - 1)*(z + 1)/4
Suppose 0*c + 4*c = 8. Determine f so that c*f**2 - 293*f + 2*f**2 + 305*f = 0.
-3, 0
Suppose 0 = 6*s - 3*s, 6 = 3*k - 2*s. Suppose -f - 4*x + 16 = -6, 0 = k*f + 4*x - 24. Factor 5 + g**2 + 4*g + f - 3.
(g + 2)**2
Suppose -1/2*q**4 + q**2 + 3/4*q + 3/4*q**5 - 3/2*q**3 - 1/2 = 0. What is q?
-1, 2/3, 1
Solve 4/11*k + 0*k**2 - 2/11*k**4 + 2/11 - 4/11*k**3 = 0 for k.
-1, 1
Suppose -5*