 be the second derivative of 1/12*c**4 + 1/2*c**2 + 0 + 4*c - 1/3*c**s. Solve i(p) = 0.
1
Let q(o) be the first derivative of -o**5/15 - 3*o**4/8 - o**3/3 + 3*o**2/2 - 2. Let r(j) be the second derivative of q(j). What is a in r(a) = 0?
-2, -1/4
Let p(o) be the third derivative of -o**8/336 - o**7/42 - o**6/30 + 14*o**2. Find u such that p(u) = 0.
-4, -1, 0
Let u(y) be the third derivative of y**2 + 1/420*y**7 + 0*y + 0 - 1/120*y**5 + 0*y**3 - 1/240*y**6 + 1/48*y**4. Factor u(m).
m*(m - 1)**2*(m + 1)/2
Let n(y) be the first derivative of 0*y - 1/4*y**4 - 1/3*y**2 + 1 - 7/9*y**3. Suppose n(r) = 0. Calculate r.
-2, -1/3, 0
Let k(w) be the second derivative of -7/90*w**5 + 1/18*w**4 - w**2 - w + 0*w**3 + 0. Let y(s) be the first derivative of k(s). Factor y(i).
-2*i*(7*i - 2)/3
Suppose 0 = -0*o - 2*o + 130. Suppose -1 = 2*j - 7. Let -8*q - 50*q**4 + 17*q**2 - o*q**2 + 14*q**3 - 104*q**j = 0. What is q?
-1, -2/5, 0
Suppose 0 = -52*c - 33*c + 340. Suppose -49/2*p**5 - 21/2*p**c + 2 - 12*p + 17/2*p**2 + 73/2*p**3 = 0. What is p?
-1, 2/7, 1
Let h(d) be the first derivative of d**9/252 + d**8/42 + 2*d**7/35 + d**6/15 + d**5/30 + 2*d**3 + 1. Let v(u) be the third derivative of h(u). Factor v(c).
4*c*(c + 1)**3*(3*c + 1)
Factor 0 - 6/11*x**4 - 2/11*x**2 - 8/11*x**3 + 0*x.
-2*x**2*(x + 1)*(3*x + 1)/11
Let l = -3 - -6. Let w = 6 - 0. Factor -8 - l*m**2 + m**2 + 2*m + w*m.
-2*(m - 2)**2
Factor 1/2*u**2 + 3/2*u + 1.
(u + 1)*(u + 2)/2
Let b be -3 + -4 + 8 + 14/6. Suppose 4/3 - 8/3*g**2 + 2*g**3 - b*g = 0. Calculate g.
-1, 1/3, 2
Let a be (-4)/8*24/34. Let b = 52/51 + a. Let b*s + 4/3 - 2/3*s**2 = 0. Calculate s.
-1, 2
Suppose -2 = c + 2*w, -4*w = -7*c + 11*c. Let 14/5*u**c - 12/5*u**4 - 2/5 + 4/5*u**3 - 7/5*u**5 + 3/5*u = 0. What is u?
-1, 2/7, 1
Let x(y) be the second derivative of 2/15*y**3 + 4*y + 0 + 1/6*y**4 - 1/105*y**7 + 0*y**2 + 3/50*y**5 - 1/75*y**6. Let x(c) = 0. What is c?
-1, 0, 2
Suppose 2*x + 3*x + 33 = 4*s, -4*x = -12. Suppose 4*z = -3*i - s, -3*i - 3*z + 5*z = -6. Let -b - 5/2*b**2 + i = 0. What is b?
-2/5, 0
Let l(m) = -m**2 - 5*m - 4. Suppose -2*y - 6 = -3*u, -4*u + 4 = 3*y + 13. Let f be l(y). Factor -2*a**2 - 4*a + f + 4*a.
-2*(a - 1)*(a + 1)
Let x(t) = t + 5. Let c be x(-2). Factor 10*s**2 + 1 + 2*s**2 + 9*s**c - 7 - 15*s + 0*s**2.
3*(s - 1)*(s + 2)*(3*s + 1)
Suppose 45*x - 43*x = 4. Suppose 16/5*s + 2/5*s**3 - 8/5 - 2*s**x = 0. Calculate s.
1, 2
Find p, given that -7/11*p**2 - 8/11 - 1/11*p**3 - 14/11*p = 0.
-4, -2, -1
Let j(n) = -4*n - 4 - 2*n**2 + 2*n + 3*n + 0*n**3 - n**3. Let o be j(-3). What is i in 0 + 0*i + 4/7*i**o - 2/7*i**3 = 0?
0, 2
Let h(p) = p**2. Let y(v) = -2*v**2 + 10*v - 25. Let w(j) = h(j) + y(j). Find c such that w(c) = 0.
5
Let k be ((-3)/2)/((-2)/4). Factor -4*l**3 + 2*l**3 + 4*l**k.
2*l**3
Let g be 544/102 + (-1 - -6)/(-1). Let 0 + 1/3*t**3 + g*t - 2/3*t**2 = 0. What is t?
0, 1
Let -4*r - 9*r**4 + 7*r - 15*r**2 - r + 21*r**3 + r = 0. Calculate r.
0, 1/3, 1
Let j(n) be the third derivative of n**6/200 + n**5/100 - 5*n**2. Factor j(z).
3*z**2*(z + 1)/5
Let n(s) be the third derivative of -s**5/60 + 5*s**4/24 - 2*s**3/3 - 2*s**2. Let i be n(3). Solve 13*f**4 - 6*f**5 + 0*f + i*f**5 - f - 15*f**3 + 7*f**2 = 0.
0, 1/4, 1
Suppose -14 = -6*c - 2. Factor 4/7*v**c + 2/7 + 2/7*v**5 + 4/7*v**3 - 6/7*v - 6/7*v**4.
2*(v - 1)**4*(v + 1)/7
Let x(n) be the first derivative of -3*n**4/4 - 5*n**3 - 9*n**2/2 + 27*n + 1. Let x(z) = 0. What is z?
-3, 1
Let j(i) be the first derivative of -6*i**5/25 + i**4/5 + 8*i**3/15 - 2*i**2/5 - 2*i/5 - 6. Determine u, given that j(u) = 0.
-1, -1/3, 1
Let s = 44 + -30. Let h = -6 + 20. Solve h - s + w**3 - w**5 = 0.
-1, 0, 1
Suppose 72 - 8*f + 2/9*f**2 = 0. Calculate f.
18
Let s = -952 + 954. Let 10/3*w**3 + 2/3*w**4 + 4/3 + 14/3*w + 6*w**s = 0. What is w?
-2, -1
Factor -15*r**2 + 6*r - 7*r**4 + r**5 + 0*r + 17*r**3 + 7*r**2 - 9*r**2.
r*(r - 3)*(r - 2)*(r - 1)**2
Suppose g = 2*x, -2*g + 40 = g + 4*x. Suppose 0 = s - 3*s + g. Factor 0 - 2*c**2 + s*c - 2 + 0.
-2*(c - 1)**2
Let k = 1 - 0. Let b be k/4 + (-1)/4. Factor -3*c**2 + c**2 - 2*c**4 + 4*c**3 + b*c**2.
-2*c**2*(c - 1)**2
Let u = -5/52 - -127/780. Let k(r) be the second derivative of u*r**4 - 1/6*r**3 + r - 1/100*r**5 + 0 + 1/5*r**2. Factor k(i).
-(i - 2)*(i - 1)**2/5
Let g = 2 - -2. Suppose g*k - 2*k = 8. Find y such that 4 - 2*y**k - 1 - 1 + 4*y**3 - 4*y = 0.
-1, 1
Let j = -12 + 13. Suppose -5*o + 3 = -s - 4*o, -o = -3*s - j. Determine q, given that -1/2*q**3 + s + 0*q**2 + 3/2*q = 0.
-1, 2
Let f(h) be the first derivative of 3 - 8/3*h**3 - 5/2*h**2 - h - h**4. Factor f(c).
-(c + 1)*(2*c + 1)**2
Let n(p) be the second derivative of -p**6/105 + p**5/70 + p**4/21 - 8*p. Suppose n(h) = 0. Calculate h.
-1, 0, 2
Let c(m) be the second derivative of m**7/8820 - m**6/2520 + m**4/12 - 6*m. Let x(h) be the third derivative of c(h). Factor x(i).
2*i*(i - 1)/7
Let g(r) be the first derivative of r**6/240 + r**5/60 + r**4/48 + r**2 - 3. Let b(n) be the second derivative of g(n). Factor b(m).
m*(m + 1)**2/2
Let z be 2/(-10) - (-32)/10. Let d be (-8)/30*z/(-2). Find k, given that -d*k**2 + 0*k + 2/5 = 0.
-1, 1
Let w be 744/155*(-10)/(-21). Factor 36/7*x - 10/7*x**2 + w.
-2*(x - 4)*(5*x + 2)/7
Let s(o) be the first derivative of -1/5*o**2 + 4/5*o - 4/15*o**3 - 2 + 1/10*o**4. Factor s(q).
2*(q - 2)*(q - 1)*(q + 1)/5
Let l(t) be the third derivative of t**8/616 - t**7/385 - t**6/220 + t**5/110 - 17*t**2. Suppose l(c) = 0. What is c?
-1, 0, 1
Let d(z) be the second derivative of 1/40*z**5 + 0*z**4 - 1/12*z**3 + 0 + 0*z**2 + 5*z. Factor d(h).
h*(h - 1)*(h + 1)/2
Let k(q) be the second derivative of 2*q**7/21 - 2*q**6/15 - q**5/5 + q**4/3 - 39*q. Factor k(c).
4*c**2*(c - 1)**2*(c + 1)
Let g(w) = -w**2 + w + 4. Let q be g(0). Factor q + a**2 + 0*a**2 - 10 - 9*a - 4*a**2.
-3*(a + 1)*(a + 2)
Find u such that u**2 - 7*u**2 + 2*u + 1 + 7*u**2 = 0.
-1
Find q, given that 0*q**3 - 4*q**4 + 8 - 20*q + 3*q**3 + 3*q**2 + 9*q**2 + q**3 = 0.
-2, 1
Suppose 2*h - 15 = -h. Suppose 0*s + h*g = -2*s + 24, 4*s = -3*g + 20. Factor 2*d - s*d**4 - 6*d**2 + 6*d**3 + 4*d**4 - 4*d**4.
-2*d*(d - 1)**3
Let a(l) = 4*l**5 + 15*l**4 + 5*l**3 - 8*l**2 - 12*l - 4. Let b(r) = -8*r**5 - 29*r**4 - 11*r**3 + 16*r**2 + 24*r + 8. Let g(v) = 5*a(v) + 3*b(v). Factor g(z).
-4*(z - 1)*(z + 1)**4
Let w(x) be the first derivative of -4*x - 4 - 5/12*x**3 - 1/2*x**2 - 1/8*x**4 + 1/60*x**6 + 1/40*x**5. Let m(k) be the first derivative of w(k). Factor m(l).
(l - 2)*(l + 1)**3/2
Let x(g) = -13*g**4 - 3*g**3 - 4*g**2 + 21*g - 1. Let p(v) = 3*v**4 + v**3 + v**2 - 5*v. Let q(s) = -9*p(s) - 2*x(s). Find y, given that q(y) = 0.
-2, -1, 1
Let g(x) be the third derivative of 1/60*x**5 - 1/3*x**3 + 1/8*x**4 - 1/40*x**6 + 1/210*x**7 - 3*x**2 + 0 + 0*x. Let g(b) = 0. What is b?
-1, 1, 2
Let k(w) be the second derivative of -w**6/40 + w**5/20 - 4*w**2 - 2*w. Let n(q) be the first derivative of k(q). Solve n(o) = 0.
0, 1
Factor o - 5*o**2 + o + 0*o + 3*o**2 + 2 - 2*o**3.
-2*(o - 1)*(o + 1)**2
Factor 7/6*n**4 - 4*n + 2/3 + 43/6*n**2 - 5*n**3.
(n - 2)*(n - 1)**2*(7*n - 2)/6
Let m(w) be the second derivative of -2*w**7/21 + 4*w**5/5 + 2*w**4/3 - 2*w**3 - 4*w**2 + 9*w. Factor m(d).
-4*(d - 2)*(d - 1)*(d + 1)**3
Factor 5*s**2 + 19 + 52 - 40*s - 32 + 21.
5*(s - 6)*(s - 2)
Factor 1/6*l**3 - 1/6*l**4 - 1/6*l + 0 + 1/6*l**2.
-l*(l - 1)**2*(l + 1)/6
Let w(q) be the first derivative of -2*q**7/189 + q**6/135 + q**5/45 - q**4/54 - q - 1. Let n(u) be the first derivative of w(u). Suppose n(m) = 0. Calculate m.
-1, 0, 1/2, 1
What is b in 0 + 8/7*b - 2/7*b**3 - 6/7*b**2 = 0?
-4, 0, 1
Suppose 0*c + 10 = 5*c. Suppose -3*l - 19 = 4*r - 3, -r = c*l + 4. What is i in l*i + 2/5*i**3 - 4/5*i**2 + 0 = 0?
0, 2
Let w(z) = -5*z - 1. Let v be w(-1). Factor 4*h + 3*h**2 - 3*h**2 - 30*h**3 - 57*h**v - 2*h**2 - 14*h**5 + 19*h**4.
-2*h*(h + 1)**3*(7*h - 2)
Solve 18/5*y**2 + 8/5*y**3 + 4/5*y + 0 = 0 for y.
-2, -1/4, 0
Let x = 173/15 - 34/3. Let v(t) be the second derivative of -x*t**3 + 0*t**4 + 0 - 2*t + 1/50*t**5 + 2/5*t**2. Factor v(h).
2*(h - 1)**2*(h + 2)/5
Let f(b) be the first derivative of -b**4 - 4*b**3 + 16*b - 14. Factor f(u).
-4*(u - 1)*(u + 2)**2
Factor 3/4*q**2 - 27/4*q**3 - 15/4*q**5 + 3/2*q + 0 - 39/4*q**4.
-3*q*(q + 1)**3*(5*q - 2)/