r j*d - 4/7 + 4/7*d**2 - o*d**3.
-2*(d - 2)*(d - 1)*(d + 1)/7
Factor 3*c**4 + 73*c - 35*c - 38*c.
3*c**4
Let x(h) = h**3 - 1. Let p(g) = -8*g**3 + 9*g**2 + 12*g - 3. Let j(z) = p(z) + x(z). Factor j(k).
-(k - 2)*(k + 1)*(7*k - 2)
Let i = -11/19 + -205/171. Let f = i - -28/9. Suppose -1/3*x**3 + f - x**2 + 0*x = 0. What is x?
-2, 1
Let i(w) be the second derivative of w**5/80 + w**4/32 + w**2 + w. Let s(y) be the first derivative of i(y). Solve s(l) = 0.
-1, 0
Suppose -1 = -u - 0*u + 5*h, -3*h + 15 = 0. Let d be 4/u - 192/(-104). Factor -1/4 - 1/2*s - 1/4*s**d.
-(s + 1)**2/4
Let s(q) be the second derivative of 3/14*q**7 + 0*q**2 + q**4 - 2*q + 0 - 2/3*q**3 - 1/4*q**5 - 2/5*q**6. Factor s(t).
t*(t - 1)*(t + 1)*(3*t - 2)**2
Let u(t) = -2*t**2 - 34*t - 29. Let x be u(-16). Let v(i) be the first derivative of 1 + 6/5*i**2 - 2/5*i**x - 8/5*i + 1/20*i**4. Suppose v(j) = 0. What is j?
2
Let v = 4 - 2. Let f(b) be the first derivative of -1/4*b**4 - 2/3*b**3 + 0*b + 3 - 1/2*b**v. Factor f(x).
-x*(x + 1)**2
Suppose y - 3 = -1. Let o(n) = n**2 + 4*n. Let d be o(-4). Suppose d*b - 2*b**y + 4*b - 2*b = 0. What is b?
0, 1
Suppose -2 = -5*x + 8. Let y(q) be the first derivative of 1/6*q**3 - 3/20*q**5 - 2 + 1/24*q**6 + 1/4*q - 3/8*q**x + 1/8*q**4. Find u, given that y(u) = 0.
-1, 1
Let z(y) be the second derivative of y**4/12 + 20*y**3/3 + 200*y**2 - 34*y. Suppose z(q) = 0. What is q?
-20
Let k = 35 - 33. Let -4/3*i**k + 0 - 1/3*i**4 + 0*i - 4/3*i**3 = 0. Calculate i.
-2, 0
Let j(i) = 39*i**2 + 246*i - 312. Let f(h) = -3*h**2 - 19*h + 24. Let v(l) = -27*f(l) - 2*j(l). Factor v(y).
3*(y - 1)*(y + 8)
Let j(w) = -4*w**2 + 2*w - 4. Let u(h) = 3*h**2 - h + 3. Let p(b) = 2*j(b) + 3*u(b). Let o be p(-2). Factor -3*a**o + 2 + 4*a**3 - a - 1 - a**2.
(a - 1)**2*(a + 1)
Let d(i) = -8*i**4 + 9*i**3 - i**2 - 9*i + 5. Let g = 2 + 2. Let m(u) = 23*u**4 - 26*u**3 + 2*u**2 + 26*u - 14. Let p(r) = g*m(r) + 11*d(r). Factor p(l).
(l - 1)**2*(l + 1)*(4*l - 1)
Let k(w) be the third derivative of -1/12*w**4 - 1/60*w**5 - 2*w**2 + 0 - 1/6*w**3 + 0*w. Factor k(b).
-(b + 1)**2
Let f(m) be the first derivative of 0*m - 8 - 8/5*m**5 + 0*m**3 - 2*m**2 + 3*m**4. Let f(g) = 0. Calculate g.
-1/2, 0, 1
Let u be (8/10)/((-6)/(-15)). Let c(m) be the first derivative of 0*m + 0*m**u + 3 - 2/15*m**3. Factor c(i).
-2*i**2/5
Let g = 16 - 12. Suppose 0 = -g*k + k + 6. Suppose 4/3*j**4 + 0*j**3 - 4/3*j**k + 0 - 2/3*j + 2/3*j**5 = 0. Calculate j.
-1, 0, 1
Let n(p) be the first derivative of p**6/2 - 3*p**5/5 - 3*p**4/4 + p**3 - 34. Factor n(d).
3*d**2*(d - 1)**2*(d + 1)
Let g(o) be the first derivative of -o**5/5 - o**4/2 + o**2 + o - 17. Factor g(n).
-(n - 1)*(n + 1)**3
Factor -1/5*r + 0*r**3 + 2/5*r**4 + 1/5*r**5 + 0 - 2/5*r**2.
r*(r - 1)*(r + 1)**3/5
Suppose -5*o + 0*o + 5 = 0. Let g be 5/(o - (2 - 2)). Suppose 0 - 2*c**2 + 2*c**4 - 39/2*c**3 + 2*c + 35/2*c**g = 0. What is c?
-1, -2/5, 0, 2/7, 1
Let i(c) be the second derivative of -c**9/75600 + c**8/16800 - c**7/12600 + c**4/3 - 4*c. Let v(q) be the third derivative of i(q). Factor v(j).
-j**2*(j - 1)**2/5
Let f be 1/((-34)/(-12) + -3). Let x be -3 + (-1)/(-1) - f. What is a in -1/5*a**5 + 2/5*a**2 + 3/5*a - 2/5*a**3 + 1/5 - 3/5*a**x = 0?
-1, 1
Suppose 0*d + 6 = 3*d. Factor s**3 - 2*s**d - 4*s + s + 0*s + 0*s**3.
s*(s - 3)*(s + 1)
Let t(l) = -l**2 - 6*l + 1. Let u be t(-5). Let k be 21/14*20/u. Determine n so that 0*n**5 - n**k + 4*n**5 + 6*n**4 = 0.
-2, 0
Let y(i) be the third derivative of 0 - 1/140*i**7 + 5*i**2 - 3/16*i**4 - 1/6*i**3 - 1/8*i**5 + 0*i - 11/240*i**6. Factor y(u).
-(u + 1)**3*(3*u + 2)/2
Find o, given that -19 - 2*o**2 + 19 - o**3 = 0.
-2, 0
Suppose -x + 5 = 3. Let 3/2*m - 1 - 1/2*m**x = 0. What is m?
1, 2
Let i be 1 + -2 + 5/1. Suppose 0 = i*f - 8. Factor -2/7*u**f - 4/7 + 6/7*u.
-2*(u - 2)*(u - 1)/7
Let b(a) = 3*a**2 - 3*a + 4. Let c(v) = 2*v**2 - 2*v + 4. Let u = 0 + -5. Let w(p) = u*c(p) + 4*b(p). Solve w(h) = 0 for h.
-1, 2
Let r be 57/(-190)*(-25)/108. Let d = 541/504 + r. Factor -2/7*h**2 - d*h - 8/7.
-2*(h + 2)**2/7
Let t(l) be the third derivative of l**8/504 + 8*l**7/315 + 7*l**6/60 + l**5/5 - l**2 - 3*l. What is i in t(i) = 0?
-3, -2, 0
Let z(m) be the third derivative of m**7/210 - m**6/120 - m**5/60 + m**4/24 - 3*m**2 - 5. Determine w, given that z(w) = 0.
-1, 0, 1
Let k(t) = -t**5 - t**4 + t**3 + t**2 + t. Let y(r) = -14*r**5 - 9*r**4 + 34*r**3 + 39*r**2 + 14*r. Let s(n) = -4*k(n) + y(n). Solve s(b) = 0 for b.
-1, -1/2, 0, 2
Let a(f) be the second derivative of 0 - 2/3*f**3 + 5/9*f**4 + 3*f - 4/3*f**2. Factor a(k).
4*(k - 1)*(5*k + 2)/3
Determine j so that 0 + 4/7*j**4 + 0*j + 16/7*j**2 + 16/7*j**3 = 0.
-2, 0
Let k(j) be the first derivative of j**6/42 + 2*j**5/35 - j**4/14 - 4*j**3/21 + j**2/14 + 2*j/7 - 6. Solve k(g) = 0 for g.
-2, -1, 1
Let r be (-1 - -1) + (-15 + 8)/(-14). Let -3/4*z**3 - r*z**2 + 0 - 1/4*z**4 + 0*z = 0. Calculate z.
-2, -1, 0
Let q(s) be the first derivative of s**6/2 + 3*s**5/5 - 15*s**4/4 + 3*s**3 - 23. Determine d, given that q(d) = 0.
-3, 0, 1
Let v(n) be the second derivative of 0 + 7/18*n**4 + 1/9*n**3 + 25/252*n**7 + 0*n**2 + 23/40*n**5 + 7/18*n**6 - 5*n. Factor v(o).
o*(o + 1)**2*(5*o + 2)**2/6
Let x(l) be the second derivative of -l**6/40 + l**5/5 - l**4/2 + 7*l**2/2 - 4*l. Let m(a) be the first derivative of x(a). Solve m(u) = 0.
0, 2
Let h(m) = -8*m**2 - 2*m. Let g(w) = -95*w**2 - 25*w. Let d(l) = 3*g(l) - 35*h(l). Factor d(x).
-5*x*(x + 1)
Let c(u) be the third derivative of 0 + u**2 + 0*u**5 + 0*u + 2/9*u**3 + 1/12*u**4 - 1/180*u**6. Factor c(j).
-2*(j - 2)*(j + 1)**2/3
Factor 1/10*y**2 + 0*y - 2/5.
(y - 2)*(y + 2)/10
Let y(k) be the first derivative of 0*k**3 + 4*k**2 + 1 - k + 1/10*k**5 - 1/2*k**4. Let u(v) be the first derivative of y(v). Factor u(w).
2*(w - 2)**2*(w + 1)
Let v(x) = 4*x**3 + 10*x**2 - 24*x + 8. Let f(i) = i**3 - i**2. Let p(o) = 8*f(o) - v(o). Find t, given that p(t) = 0.
1/2, 2
Let c(o) be the third derivative of -o**8/210 - 2*o**7/75 - 19*o**6/300 - o**5/12 - o**4/15 - o**3/30 - 8*o**2. Factor c(z).
-(z + 1)**2*(2*z + 1)**3/5
Let m(l) be the second derivative of l**7/273 - 2*l**6/195 - 3*l**5/130 + 13*l. Factor m(p).
2*p**3*(p - 3)*(p + 1)/13
Let o(x) be the first derivative of -2*x**2 - 5 + 0*x - 1/2*x**4 - 2*x**3. Factor o(u).
-2*u*(u + 1)*(u + 2)
Let n(f) be the first derivative of 80*f**3/3 + 6*f**2 - 8*f - 13. Factor n(u).
4*(4*u - 1)*(5*u + 2)
Let i(f) be the second derivative of f**4/66 - 4*f**3/33 + 4*f**2/11 - 40*f. Factor i(b).
2*(b - 2)**2/11
Let d(a) be the first derivative of a**4/5 - 17*a**3/15 + 2*a**2/5 + 14. Factor d(v).
v*(v - 4)*(4*v - 1)/5
Let l be 1/(-3) + (-80)/(-24). Let c be 1*(0 + 2 + 2). Factor -4/5*s + 4/5*s**l + 0*s**2 - 2/5*s**c + 2/5.
-2*(s - 1)**3*(s + 1)/5
Let j(d) be the first derivative of -2 + 1/2*d**2 - 1/8*d**4 + 1/40*d**6 + 1/20*d**5 - 1/2*d**3 + 0*d. Let x(s) be the second derivative of j(s). Factor x(l).
3*(l - 1)*(l + 1)**2
Factor -14*r**4 - 6*r**3 - 28*r**2 + 4 - 2*r - 32*r**3 - 2*r**2.
-2*(r + 1)**3*(7*r - 2)
Let r(w) = w**2 - 3*w + 2. Let h(k) = k - 1. Suppose 5*y = -1 - 4. Let o(s) = y*r(s) - 3*h(s). What is c in o(c) = 0?
-1, 1
Let j(c) be the first derivative of c**7/525 - c**5/50 + c**4/30 + 2*c**2 - 4. Let d(b) be the second derivative of j(b). Factor d(y).
2*y*(y - 1)**2*(y + 2)/5
Let x(r) = -r**2 - 4*r + 7. Let f be x(-5). Suppose 3*t + f - 8 = 0. Factor 2*m**4 - 1/2 - 5/2*m**3 + 5/2*m - 3/2*m**t.
(m - 1)**2*(m + 1)*(4*m - 1)/2
Let b(i) = -2*i + 6. Let k be b(-10). Let m = k + -76/3. Factor -8/3*l - m*l**3 + 0 - 8/3*l**2.
-2*l*(l + 2)**2/3
Let u(v) be the second derivative of -v**4/18 + 10*v**3/9 - 3*v + 12. Find j such that u(j) = 0.
0, 10
Suppose 10*v**3 - v**3 - 10*v**2 - 4*v**3 = 0. Calculate v.
0, 2
Let m = 4 - 2. Factor 2*z**3 + 0*z - 2*z**2 + 0*z - 2*z**4 + m*z**3.
-2*z**2*(z - 1)**2
Let u(h) be the second derivative of h**4/60 - h**3/15 + h**2/10 - 2*h. Suppose u(b) = 0. Calculate b.
1
Let k(q) be the first derivative of 2/5*q + 2/5*q**2 + 2 - 1/5*q**4 + 0*q**3 - 2/25*q**5. Factor k(x).
-2*(x - 1)*(x + 1)**3/5
Factor -4*l + 12*l + 5*l**2 - 2*l + 9*l.
5*l*(l + 3)
Factor -7/4*s + 7/2*s**2 - 5/2 + 3/4*s**3.
(s - 1)*(s + 5)*(3*s + 2)/4
Suppose 3*s - k - 8 = 0, 4*s - k + 5*k = 32. Let m be (-52)/(-1