- 2/3 = 0. What is b?
-2/5, -1/4, 1
Let q(r) be the second derivative of 1/2*r**2 - 2/3*r**3 + 1/30*r**5 + 0 - 2*r + 1/12*r**4. Let m(w) be the first derivative of q(w). Factor m(g).
2*(g - 1)*(g + 2)
Let u(y) be the second derivative of -y**5 + 25*y**4/12 - 5*y**3/6 + 2*y. Suppose u(k) = 0. What is k?
0, 1/4, 1
Let f(i) = -i**5 + i**4 - i**3 + i**2 + i + 1. Let h(s) = 7*s**5 + 4*s**4 - 2*s**3 + 2*s**2 + 2*s + 2. Let z(c) = 4*f(c) - 2*h(c). What is b in z(b) = 0?
-2/9, 0
Factor 3/4 + 3/4*c**3 - 3/4*c**2 - 3/4*c.
3*(c - 1)**2*(c + 1)/4
Let r(h) be the second derivative of 1/5*h**3 - 3/10*h**2 - 3/50*h**5 + 1/50*h**6 + 4*h + 0 + 0*h**4. Let r(n) = 0. What is n?
-1, 1
Let o = 16 - 10. Suppose -5*i + 5*g + 25 = 0, -2*i + 4*g + o = -5*i. Suppose s**3 + 0*s + 4*s**3 + 7*s**i + 2*s = 0. Calculate s.
-1, -2/5, 0
Let f = -16 + 16. Let g(i) = i**3 - 4*i**2 - 5*i + 2. Let u be g(5). Find q, given that -q + f*q**2 - 2*q**2 + q**u = 0.
-1, 0
Let v(a) be the third derivative of a**6/120 - a**5/30 - a**4/24 + a**3/3 - 10*a**2. Factor v(m).
(m - 2)*(m - 1)*(m + 1)
Factor 2*v - 1/6*v**2 - 6.
-(v - 6)**2/6
Let s = -12 - -14. Let m(f) = 6*f**2 - 2*f. Let p(k) = -k. Let v(j) = s*p(j) + m(j). Let v(o) = 0. What is o?
0, 2/3
Let x(j) be the third derivative of 0 - 1/9*j**3 + 7/180*j**5 + 5/72*j**4 + 0*j - 4*j**2. Factor x(i).
(i + 1)*(7*i - 2)/3
Suppose 5*y + m - 3*m - 10 = 0, 0 = -4*y - 3*m + 8. Factor 2*j**3 + 16*j + 2 + 6*j**y - 2*j - 8*j.
2*(j + 1)**3
Let a(v) be the second derivative of 2*v**2 - 1/2*v**4 - 2*v + 1/3*v**3 + 0. Let a(y) = 0. Calculate y.
-2/3, 1
Let a be (2/(-75))/((-64)/20 + 3). Let m(j) be the first derivative of a*j**3 - 6/5*j**2 + 1 + 18/5*j. Factor m(s).
2*(s - 3)**2/5
Factor 12*f**3 + f**2 - 13*f**3 + 2*f**2 - 4.
-(f - 2)**2*(f + 1)
Suppose 7*i - 2*i - 15 = 0, 4*i = -3*g + 21. Factor 0*a**g + 2/3*a**4 + 2/3 - 4/3*a**2 + 0*a.
2*(a - 1)**2*(a + 1)**2/3
Let j(d) = 2*d + 16. Let q be j(-8). Let a(n) be the second derivative of -1/6*n**4 + 2*n + q*n**3 + 0 + 0*n**2. Let a(s) = 0. What is s?
0
Let o = 55/2 - 26. Determine u, given that 9/2 + 1/2*u**3 + o*u - 5/2*u**2 = 0.
-1, 3
Factor 0*i + 0 - 9/2*i**3 + 3/2*i**2.
-3*i**2*(3*i - 1)/2
Suppose -40 + 16 = 4*p. Let v be ((-14)/105)/(4/p). Factor v*l**2 + 0 - 1/5*l.
l*(l - 1)/5
Let p = 82088444/55 - 1492597. Let n = p + 401/5. Factor 0 - n*r - 2/11*r**4 - 10/11*r**2 - 8/11*r**3.
-2*r*(r + 1)**2*(r + 2)/11
Let p(d) be the third derivative of -d**6/24 + 5*d**4/24 - 4*d**2. Factor p(l).
-5*l*(l - 1)*(l + 1)
Find h such that 0*h + 0 + 3/2*h**4 - 1/2*h**5 - 2*h**2 + 0*h**3 = 0.
-1, 0, 2
Factor -9/8 + 1/8*g**2 - g.
(g - 9)*(g + 1)/8
Let c(t) be the third derivative of -t**7/490 - t**6/140 + t**4/28 + t**3/14 - 2*t**2 + 24*t. Find j such that c(j) = 0.
-1, 1
Suppose -4*c = -6*c + 6. Let d(o) be the first derivative of 2/5*o**c + o**2 + 2 + 4/5*o. Factor d(g).
2*(g + 1)*(3*g + 2)/5
Let t(a) = 2*a**3 - 5*a**2 - 5. Let v(g) = g**3 - 2*g**2 - 2. Let w(h) = -4*t(h) + 9*v(h). Let n be w(-2). Factor -p**n - 3*p + 3*p + 4 - 5 + 2*p.
-(p - 1)**2
Let d(g) = -g**5 + 3*g**4 - 10*g**2 - 6. Let k(b) = b**2 + 1. Let m(h) = -d(h) - 6*k(h). Factor m(f).
f**2*(f - 2)**2*(f + 1)
Let v(x) = 3*x**2 - 4*x + 11. Let k(l) = -3*l**2 + 3*l - 12. Let o(q) = -5*k(q) - 6*v(q). Find u, given that o(u) = 0.
1, 2
Suppose 3*c = c + 6. Find g such that g**5 - c + 3 - g**4 = 0.
0, 1
Let x(q) be the second derivative of -q**9/30240 + q**8/6720 - q**6/720 + q**5/240 - q**4/4 - q. Let w(k) be the third derivative of x(k). Factor w(s).
-(s - 1)**3*(s + 1)/2
Let r(n) be the first derivative of 1/4*n**4 + 4/3*n**3 + 2*n + 5/2*n**2 + 2. Factor r(z).
(z + 1)**2*(z + 2)
Let f = 16389/55 + -1449/5. Let p = 652/77 - f. Determine i, given that -2/7*i - p + 2/7*i**2 + 2/7*i**3 = 0.
-1, 1
Let l = 829 - 5799/7. Let 8/7*g**2 - l*g**3 + 0*g + 0 = 0. What is g?
0, 2
Suppose -2*c - 1 + 5 = 0. Let o be (c/7)/(81/63). Factor -2/9 - 2/9*g**3 + o*g**2 + 2/9*g.
-2*(g - 1)**2*(g + 1)/9
Let d(c) be the second derivative of 1/36*c**3 + 5*c + 0*c**4 - 1/120*c**5 + 0*c**2 + 0. Factor d(g).
-g*(g - 1)*(g + 1)/6
Let f = -460 - -1381/3. Find m such that f*m**2 + 0 + 0*m = 0.
0
Let m(f) be the second derivative of -f**8/5040 + f**7/1260 - f**6/1080 - f**3/2 - 2*f. Let k(d) be the second derivative of m(d). Factor k(b).
-b**2*(b - 1)**2/3
Let c(o) be the third derivative of o**5/120 - o**4/24 + o**3/12 + 12*o**2. Determine q so that c(q) = 0.
1
Let l(k) be the third derivative of k**8/504 + 2*k**7/105 - k**6/12 + 4*k**5/45 - 15*k**2. Let l(w) = 0. Calculate w.
-8, 0, 1
Let -2*y + 4/3 + 2/3*y**2 = 0. What is y?
1, 2
Let b = -6 - -10. Suppose 0 = -5*v + 4*z - 2*z - 6, b*z - 12 = 3*v. Let 2/9*m**2 + 0 + v*m = 0. Calculate m.
0
Factor 1/2*y + 1/4*y**3 + 0 - 3/4*y**2.
y*(y - 2)*(y - 1)/4
Suppose 4*a + 0*a - 12 = 0. Let p(o) be the first derivative of -9/2*o**2 + 1/4*o**4 - 4 + 3/5*o**5 - 2*o - 3*o**a. Factor p(d).
(d - 2)*(d + 1)**2*(3*d + 1)
Let l = 6 + -5. Suppose -8 = f - 3, 15 = -5*h - 5*f. Factor -s - 1 + h*s**2 - 3*s + l.
2*s*(s - 2)
Let x(j) = j**2 + 5*j + 4. Let w be x(-6). Let i = -7 + w. Factor 16*h**3 + 2*h**2 - i*h**2 - 32*h**4 - h**2.
-2*h**2*(4*h - 1)**2
Let d be 455/(-117) - (-5 - -1). Let h(f) be the second derivative of -d*f**4 + 2*f + 0*f**2 + 0 + 1/9*f**3 + 1/30*f**5. Factor h(s).
2*s*(s - 1)**2/3
Let f(v) be the first derivative of v**5/5 + v**4/4 - 5*v**3/3 + 3*v**2/2 - 14. Factor f(x).
x*(x - 1)**2*(x + 3)
Let t = 13/12 + -5/12. Let v(d) be the second derivative of -2*d**2 + 0 + t*d**3 - 1/12*d**4 + 2*d. Find c such that v(c) = 0.
2
Suppose 3*k + 90 = 8*k. Solve j**3 + 17*j - 2 + j**2 - k*j + j**2 = 0.
-2, -1, 1
Let d(l) be the third derivative of 7*l**2 + 0*l**4 + 0*l + 0*l**3 - 1/35*l**7 + 0 - 1/40*l**6 + 1/20*l**5. Solve d(c) = 0 for c.
-1, 0, 1/2
Suppose -2*u = -4*u + 10. Let v(y) be the second derivative of 1/4*y**2 + 1/24*y**3 - 2*y - 1/24*y**4 - 1/80*y**u + 0. Solve v(t) = 0.
-2, -1, 1
Suppose 0 - 10/3*y**5 - 14/3*y**4 + 0*y + 16/3*y**3 + 8/3*y**2 = 0. What is y?
-2, -2/5, 0, 1
Let v(m) be the first derivative of -2*m**3/39 + 3*m**2/13 - 4*m/13 + 7. Solve v(n) = 0 for n.
1, 2
Let t(z) = 3*z**3 + z**2. Suppose 22 + 8 = 5*o + 5*q, -4*o + q = 1. Let d be t(o). Factor -d*a**3 + a**3 - 2*a**3 - 3*a**2 + 2*a**3.
-3*a**2*(a + 1)
Let g(o) be the first derivative of -2*o**6/21 + 4*o**5/7 - 10*o**4/7 + 40*o**3/21 - 10*o**2/7 + 4*o/7 + 26. Factor g(p).
-4*(p - 1)**5/7
Factor 6*z**4 + 4*z**4 - 6*z**4 + z**4.
5*z**4
Let o(d) be the first derivative of d**4/30 - 2*d**3/15 + d - 2. Let p(g) be the first derivative of o(g). Find n, given that p(n) = 0.
0, 2
Let n(h) be the second derivative of -1/9*h**3 - 6*h + 0 + 1/54*h**4 + 0*h**2. What is o in n(o) = 0?
0, 3
Let y = -6 - -9. Let b(x) be the third derivative of 0 - 1/84*x**4 + 1/735*x**7 + 0*x - x**2 - 1/140*x**6 + 0*x**y + 1/70*x**5. Determine w so that b(w) = 0.
0, 1
Let d(v) be the second derivative of 3*v + 1/18*v**4 + 0 - 2/9*v**3 - v**2. Solve d(n) = 0 for n.
-1, 3
Let p(u) be the third derivative of 1/12*u**5 - 7/24*u**4 + u**2 + 0*u + 0 + 1/3*u**3. Factor p(s).
(s - 1)*(5*s - 2)
Let x(b) = b**3 + b**2 + b + 1. Let z(w) = 3*w**3 - 2*w**2 - 7*w - 2. Let j(o) = -2*x(o) - z(o). Factor j(q).
-5*q*(q - 1)*(q + 1)
Let f(z) be the second derivative of -3*z**5/20 - z**4/4 - 4*z. Factor f(g).
-3*g**2*(g + 1)
Let n(r) be the first derivative of -r**7/252 + r**6/90 - r**4/36 + r**3/36 + 4*r - 3. Let p(f) be the first derivative of n(f). Factor p(k).
-k*(k - 1)**3*(k + 1)/6
Suppose 3*w - 7*w + 16 = 0. Let n(a) be the second derivative of 1/50*a**5 + 0*a**3 - 1/30*a**w + 0*a**2 - 2*a + 0. Factor n(u).
2*u**2*(u - 1)/5
Suppose 3*j - 18 = -3*u, 3*j + 2*u - 22 = -3*u. Let l be (-8)/(-1) + j + -2. Factor -7*r**2 - r**3 + 11*r**2 - l*r**4 + 7*r**3.
-2*r**2*(r - 1)*(5*r + 2)
Factor -4*r**2 + 3 - 5 + 2.
-4*r**2
Let u(k) = k + 3. Let p be u(-3). Suppose 0 = -q - 0*q + 1, -w - 3*q + 5 = p. Determine y, given that -w*y**2 + 4*y**2 - 2*y**2 + 3*y**3 = 0.
0
Suppose -4*v**3 + 8*v**3 + 8 - 5*v**2 - 12*v + 5*v**2 = 0. What is v?
-2, 1
Find x such that -1/4*x**2 - 1/4*x + 0 = 0.
-1, 0
Let u(z) = z**2 - 2*z - 1. Suppose 3 = -r + 5*a + 2, 0 = -a. Let o(k) = 1. Let x(f) = r*u(f) - 2*o(f). Factor x(b).
-(b - 1)**2
What is m in -4/7 -