7*m(j) - 6*p(j). Let t(s) = -3*h(s) - l(s). Factor t(v).
3*v*(v - 1)
Let w be (-102)/270 - 6/(-10). Factor 4/9*a + 0 - 4/9*a**3 - 2/9*a**4 + w*a**2.
-2*a*(a - 1)*(a + 1)*(a + 2)/9
Let w(v) be the first derivative of v**8/4200 + v**7/1050 + v**6/900 - v**3 - 4. Let m(o) be the third derivative of w(o). Find g such that m(g) = 0.
-1, 0
Let k = 19 + -18. Let z(p) be the first derivative of -2/15*p**5 - k + 1/6*p**4 + 0*p - 1/3*p**2 + 2/9*p**3. Factor z(s).
-2*s*(s - 1)**2*(s + 1)/3
Let k(u) be the third derivative of -1/224*u**8 + 0*u**3 - 1/84*u**7 - u**2 + 0*u + 0 + 1/120*u**5 - 1/240*u**6 + 0*u**4. Let k(j) = 0. What is j?
-1, 0, 1/3
Let u(p) be the third derivative of p**6/40 + p**5/20 - 5*p**2. Factor u(x).
3*x**2*(x + 1)
Let r(q) be the second derivative of -1/4*q**4 - 3*q + 0 + 3/2*q**2 + 0*q**3. Factor r(s).
-3*(s - 1)*(s + 1)
Let k = 518/5 - 103. Let -3/5*j - 6/5 + k*j**2 = 0. What is j?
-1, 2
Let t(u) = -u + 8. Let c be t(8). Let d(m) be the first derivative of -2/45*m**5 + 0*m**3 - 3 + 0*m + c*m**2 - 1/18*m**4. What is l in d(l) = 0?
-1, 0
Suppose -4*u - 5*z + 24 = -1, 4*z - 20 = 4*u. Let s(w) be the second derivative of 0*w**3 - 1/8*w**2 + 1/48*w**4 + u + 2*w. Find i such that s(i) = 0.
-1, 1
Factor 0 + 0*z - 1/4*z**2.
-z**2/4
Suppose 2*h = h. Let j = 2 + h. Factor 0*b + 4*b**5 - 1/4*b**2 + 0 - 7/4*b**3 - j*b**4.
b**2*(b - 1)*(4*b + 1)**2/4
Let o be 3/((-15)/2) - 170/(-300). Let j(d) be the second derivative of 0 - 3*d + 0*d**4 + 0*d**2 + o*d**3 - 1/20*d**5. What is c in j(c) = 0?
-1, 0, 1
Let r(v) be the second derivative of v**5 - 22*v**4/3 + 56*v**3/3 - 16*v**2 - 5*v. Find z such that r(z) = 0.
2/5, 2
Factor -6*q**2 + 5*q**3 + 9*q**2 + 4*q**3.
3*q**2*(3*q + 1)
Let s = -6/67 + 97/335. Solve 1/5*p**3 - 1/5*p - 1/5*p**2 + s = 0.
-1, 1
Let s(m) be the third derivative of 2/3*m**4 + 16/3*m**3 + 0 + 0*m + m**2 + 1/30*m**5. Let s(t) = 0. Calculate t.
-4
Let u(x) be the second derivative of x + 0 + 1/12*x**4 + 1/3*x**3 + 0*x**2. Find t such that u(t) = 0.
-2, 0
Let d(m) be the third derivative of -m**6/30 + m**5/3 - 32*m**2. Factor d(u).
-4*u**2*(u - 5)
Let w(g) be the third derivative of 1/6*g**3 + 1/60*g**5 + 0 + 0*g + 1/12*g**4 - 4*g**2. What is x in w(x) = 0?
-1
Let h(o) be the third derivative of -o**5/45 + o**4/18 - 11*o**2. Let h(i) = 0. Calculate i.
0, 1
Let u be (6 - 6)*(-7)/21. Factor v**3 + 0*v + u + 1/2*v**2.
v**2*(2*v + 1)/2
Let 2/9*g**2 + 8/9 - 10/9*g**3 + 16/9*g - 2/9*g**4 + 2/9*g**5 = 0. Calculate g.
-1, 2
Let y = -15/7 + 37/14. Factor -1/2*u**3 + 3/2*u**2 - 3/2*u + y.
-(u - 1)**3/2
Let b be (6/(-5))/(8/(-20)). Factor 0 + s**2 + 2/5*s + 2/5*s**b.
s*(s + 2)*(2*s + 1)/5
Let x = -10 + 15. Factor 0*h**2 + h**2 + 3*h - x*h**2 + h**3 + 0*h**2.
h*(h - 3)*(h - 1)
Let x(f) be the second derivative of 2*f**6/15 + 3*f**5/5 - 2*f**4 - 56*f**3/3 - 48*f**2 - 24*f. Suppose x(j) = 0. What is j?
-2, 3
Factor -n**4 + 4/3*n**2 + 0 + 1/3*n**5 + 0*n**3 + 0*n.
n**2*(n - 2)**2*(n + 1)/3
Let r be (4 + (0 - 4))/4. Suppose 4*g = -r*g. Let 0*k + g - 1/3*k**5 - 1/3*k**3 - 2/3*k**4 + 0*k**2 = 0. What is k?
-1, 0
Let b be (-50)/(-16) - 2/16. Let 0 - 2/3*r**b - 1/6*r**4 - 1/3*r - 5/6*r**2 = 0. Calculate r.
-2, -1, 0
Let n(y) be the second derivative of 2*y**6/65 - y**5/130 - y**4/78 + 4*y. Let n(p) = 0. What is p?
-1/3, 0, 1/2
Let n(c) = -2*c**5 - 2*c**4 - 3*c**3 + 3*c**2 + 7*c + 6. Let k(x) = -x**4 - x**3 - x**2 - x - 1. Let z(w) = 10*k(w) + 2*n(w). Determine l so that z(l) = 0.
-1, 1/2
Let f(v) be the first derivative of -v**4/24 + v**3/12 - 3*v - 1. Let i(p) be the first derivative of f(p). Suppose i(m) = 0. What is m?
0, 1
Factor -1/4*j + 1/4*j**4 - 1/4*j**2 + 1/4*j**3 + 0.
j*(j - 1)*(j + 1)**2/4
Let a be ((-16)/(-60))/(52/39). Factor -a + l - 4/5*l**2.
-(l - 1)*(4*l - 1)/5
Let y be 2/(-4) - (-1)/2. Let m(h) be the second derivative of -1/3*h**2 - 1/18*h**6 + y - 7/12*h**4 + 2*h - 11/18*h**3 - 17/60*h**5. Factor m(b).
-(b + 1)**3*(5*b + 2)/3
Let k be (0 - 7)*8/(-28). Factor -7*l**k - 24*l + 5 + 3*l**2 - 41.
-4*(l + 3)**2
Let 8 - 2*p**2 - 1 + 10*p + 4 + 1 = 0. What is p?
-1, 6
Suppose 5*q + 3*c - 522 = 0, -2*c = c + 3. Let v be (-14)/q*(-3)/2. Factor 2/5*o**3 + 4/5 - 3/5*o**2 - 4/5*o + v*o**4.
(o - 1)**2*(o + 2)**2/5
Suppose 0 = -3*a + 4*a - 5. Suppose 0 = -4*s + a*s - 2. Factor 6/7*u**s + 2/7 - 2/7*u**3 - 6/7*u.
-2*(u - 1)**3/7
Let n(b) be the second derivative of b**4/2 - 2*b**3 + 6*b**2 + 8*b. Let c(l) = 7*l**2 - 12*l + 12. Let z(u) = 3*c(u) - 4*n(u). Factor z(h).
-3*(h - 2)**2
Factor -93*u**3 - 2 + 13*u**2 + 102*u**3 - 2*u - 7*u - 11*u**4.
-(u - 1)**2*(u + 1)*(11*u + 2)
Let l(z) be the second derivative of -z**7/2100 + z**6/900 + z**5/150 + 4*z**3/3 + 2*z. Let s(m) be the second derivative of l(m). Find c, given that s(c) = 0.
-1, 0, 2
Let s be (-3)/(9/(-6) + 0). Suppose 5*z - 13 = -2*r - 3, -2*r + s = z. Suppose -b**2 + r*b**2 + b**4 - b + b**3 + 0*b = 0. What is b?
-1, 0, 1
Let l(h) be the second derivative of 9*h**5/100 - h**4/20 + 7*h. Factor l(v).
3*v**2*(3*v - 1)/5
Let d(b) be the second derivative of -b**6/90 + b**5/30 + 3*b. Factor d(p).
-p**3*(p - 2)/3
Let o = 213 + -213. Factor -2*t**3 - 1/2*t**2 + 3/2*t**4 + o + t.
t*(t - 1)**2*(3*t + 2)/2
Let b = 552 - 549. Factor 4/7*u**5 + 0*u**2 - 8/7*u**b + 4/7*u + 0*u**4 + 0.
4*u*(u - 1)**2*(u + 1)**2/7
Suppose 1/3*j - 1/6*j**2 + 0 = 0. What is j?
0, 2
Let a be 9/3 - 1/(-1). Let h(u) be the first derivative of -1 + 1/4*u - 9/20*u**5 + 1/6*u**6 + 1/8*u**a + 2/3*u**3 - 3/4*u**2. Factor h(o).
(o - 1)**3*(o + 1)*(4*o - 1)/4
Let h(m) = -12*m**2 + 16*m + 28. Suppose 7 = -2*i - 1. Let y(q) = -q**3 - 11*q**2 + 16*q + 29. Let n(v) = i*y(v) + 3*h(v). Factor n(d).
4*(d - 2)*(d + 2)**2
Solve -2/3 - 3*h - 7/3*h**2 = 0.
-1, -2/7
Let d be -1 - ((-15)/1)/3. Let b be ((-12)/9)/(d/(-6)). Factor -b*m**2 - 3 + 3.
-2*m**2
Let a(w) be the third derivative of 9*w**2 - 1/24*w**3 + 1/240*w**5 + 0*w + 0*w**4 + 0. Determine h so that a(h) = 0.
-1, 1
Let s(z) be the second derivative of -z**4/54 + 4*z**3/27 - 4*z**2/9 + 13*z. Factor s(b).
-2*(b - 2)**2/9
Let n(u) be the second derivative of 9*u**5/5 + 31*u**4/3 + 224*u**3/27 + 8*u**2/3 + 13*u. Factor n(g).
4*(g + 3)*(9*g + 2)**2/9
Let z(y) be the third derivative of -y**6/540 - y**5/90 + 3*y**2. Factor z(w).
-2*w**2*(w + 3)/9
Let a = 17 - 17. Let g be (-3)/(-3)*(-1)/(-3). Factor 1/3*f**2 + a*f - g.
(f - 1)*(f + 1)/3
Let c(p) = -p**2 - 3*p - 2. Let r(m) = m + 8. Let g be r(-10). Let l be c(g). Factor 0*y**3 - 2/5*y**4 + l + 2/5*y**2 - 1/5*y**5 + 1/5*y.
-y*(y - 1)*(y + 1)**3/5
Let l(j) be the first derivative of j**6/63 - 2*j**5/105 - j**4/14 + 2*j**3/63 + 2*j**2/21 - 27. Suppose l(a) = 0. What is a?
-1, 0, 1, 2
Factor -6/5*o + 6/5*o**3 - 2/5*o**2 + 2/5.
2*(o - 1)*(o + 1)*(3*o - 1)/5
Let f(n) be the third derivative of -n**8/224 - n**7/140 + n**6/80 + n**5/40 + 2*n**2. Find r, given that f(r) = 0.
-1, 0, 1
Suppose 0 = z + 3*z - 4. Suppose -2*h - 6 = 3*u - 7*u, 0 = -5*h + 5. Factor -w - z - 2*w + w**u + 2*w + w**3.
(w - 1)*(w + 1)**2
Let k(s) be the third derivative of 0*s + 0 - 1/180*s**6 + 1/36*s**4 - 6*s**2 + 0*s**5 + 0*s**3. Factor k(l).
-2*l*(l - 1)*(l + 1)/3
Suppose -5*d = -7*d + 6. Let s(f) be the second derivative of 1/30*f**4 + d*f - 2/15*f**3 + 0*f**2 + 0. Find q, given that s(q) = 0.
0, 2
Let d be (0 + (1 - -1))/1. Suppose d*j**5 - j**4 - 8 + 8 = 0. What is j?
0, 1/2
Suppose 3/8*l**3 + 0 + 3/8*l - 3/4*l**2 = 0. Calculate l.
0, 1
Suppose d - 11 = 2*k, 0 = 3*d + 2*k + 1 + 6. Let x = 1 + d. Find z, given that 4/9*z**x + 0 + 8/9*z**4 + 2/9*z - 14/9*z**3 = 0.
-1/4, 0, 1
Let h(d) be the first derivative of -2*d**5/35 + 2*d**3/21 + 5. Find u such that h(u) = 0.
-1, 0, 1
Let b = -4777 - -14555/3. Let s = 76 - b. Suppose -2/3*j**3 - 2/3*j**5 + 0*j + 0 + 0*j**2 + s*j**4 = 0. What is j?
0, 1
Let z = 13 - 13. Let v(y) be the first derivative of -2/5*y**5 + 0*y**2 + z*y - 4/3*y**3 + 3/2*y**4 + 4. What is m in v(m) = 0?
0, 1, 2
Let z(s) be the first derivative of s**4/8 - 3*s**2/4 + 4*s - 1. Let q(x) be the first derivative of z(x). Solve q(r) = 0 for r.
-1, 1
Let x(r) = -67*r - 1. Let s be x(1). Let v = 344/5 + s. Factor v*i + 6/5*i**3 - 2*i**2 + 0.
2*i*(i - 1)*(3*i - 2)/5
Let u(v) = 9*v**2 + 9. Suppose p + 3*p + 12 = 2*y, 5*y - 30 = -4*p. Let f(g) = -8*g**2 + g - 8. Let n(l