tor 2/3*f**2 + y*f + 6.
2*(f + 3)**2/3
Let j(r) = r + 4. Let g be j(0). Suppose -3*c = -g*c + 2. Find o such that 0*o**c - 2/9 - 8/9*o**3 + 2/3*o = 0.
-1, 1/2
Let q(p) be the second derivative of -p**6/10 + 3*p**5/10 + 11*p**4/4 - 6*p**3 - 54*p**2 - 12*p. Factor q(b).
-3*(b - 3)**2*(b + 2)**2
Let 0*a**4 + 2/5*a**5 + 0*a - 2/5*a**3 + 0*a**2 + 0 = 0. Calculate a.
-1, 0, 1
Let f(o) be the second derivative of o**7/6300 + o**6/900 + o**5/300 - 5*o**4/12 - 2*o. Let t(x) be the third derivative of f(x). Factor t(h).
2*(h + 1)**2/5
Let s be (-3)/(-1)*21/(-405). Let w = 5/9 + s. Determine h, given that 2/5*h**2 + 0*h - w = 0.
-1, 1
Let r(j) be the third derivative of -1/24*j**3 + 1/480*j**6 - 1/80*j**5 + 0 + 1/32*j**4 + 0*j - 2*j**2. Solve r(c) = 0 for c.
1
Factor -1 + 3*p**2 + 4*p - 4*p - 2*p**2.
(p - 1)*(p + 1)
Find j, given that 8/3*j**2 - 32/3 - 16/3*j + 4/3*j**3 = 0.
-2, 2
Suppose 3*g - 5*g = -18. Suppose -8*i = -g*i. Factor -1/2*l**2 + i - 1/4*l - 1/4*l**3.
-l*(l + 1)**2/4
Let x(y) be the second derivative of y**8/2240 + y**7/280 - y**5/10 - y**4/12 - 6*y. Let c(d) be the third derivative of x(d). Factor c(a).
3*(a - 1)*(a + 2)**2
Let q(o) be the third derivative of o**6/420 + o**5/105 + o**4/84 + 12*o**2. What is c in q(c) = 0?
-1, 0
Suppose -4*x - 3*v - 6 = -x, -5*x = -v - 14. Suppose -5*l + x + 13 = 0. Find h such that 3*h**3 + 0*h**3 - 2*h - h**l = 0.
-1, 0, 1
Suppose 0 + 2 = m. Find n such that 3 + 2*n**2 - 2*n**4 - n - m*n**3 - 3 + 3*n = 0.
-1, 0, 1
Solve 16/13*c + 32/13 + 2/13*c**2 = 0.
-4
Suppose 3*d - m = d, 3*m = -2*d. Let a(w) be the third derivative of 1/60*w**5 + 1/120*w**6 - 3*w**2 + d*w + 1/12*w**3 + 0 - 7/96*w**4. Factor a(p).
(p + 2)*(2*p - 1)**2/4
Let k(t) be the first derivative of -2*t**3/3 + 4*t**2 - 8*t + 25. Suppose k(n) = 0. What is n?
2
Let h(k) be the second derivative of -k**9/52920 + k**8/23520 + k**4/4 + 5*k. Let v(r) be the third derivative of h(r). Find w, given that v(w) = 0.
0, 1
Let r(z) be the third derivative of 3*z**2 + 0*z + 0 - 1/12*z**4 + 1/30*z**5 + 0*z**3. Suppose r(t) = 0. Calculate t.
0, 1
Let n(b) be the first derivative of b**2/2 + 8*b - 2. Let i be n(-5). Suppose 0 - 4/9*p**4 + 2/9*p**5 + 2/9*p**i + 0*p**2 + 0*p = 0. What is p?
0, 1
Let h(v) be the second derivative of -1/12*v**3 - 1/8*v**2 - 1/48*v**4 + 3*v + 0. Factor h(g).
-(g + 1)**2/4
Let z(v) = v**2 + 0 - 2 + 3. Let j be z(1). Let 2*a**3 + 2*a**2 - j*a**2 = 0. Calculate a.
0
Let q(k) = -54*k**3 + 6*k**2 + 3*k + 6. Let w(r) = 53*r**3 - 5*r**2 - 3*r - 5. Let m(d) = -5*q(d) - 6*w(d). Solve m(p) = 0.
-1/4, 0, 1/4
Suppose 0 = -0*h + 3*h - 12. Find n such that -2*n**4 - 4*n**3 + 4*n**h - 1 + 4*n + 1 - 2*n**2 = 0.
-1, 0, 1, 2
Let f be (-58)/(-140) - 4*9/90. Let h(d) be the second derivative of 1/42*d**4 - d + 0 + f*d**5 - 1/7*d**2 - 1/21*d**3. Solve h(p) = 0 for p.
-1, 1
Let x be 1/2*-2 + 4. Let r(l) be the second derivative of 0*l**4 - 1/12*l**x + 0*l**2 - l + 1/40*l**5 + 0. Find b such that r(b) = 0.
-1, 0, 1
Find m, given that 1/7*m**2 + 3/7 - 4/7*m = 0.
1, 3
Let w(d) be the first derivative of d**8/8400 - d**6/900 + d**4/120 - 2*d**3/3 + 1. Let n(x) be the third derivative of w(x). Determine l, given that n(l) = 0.
-1, 1
Let g be (-4 + 3)/(2 - 5 - -1). Factor 0*d**4 + 0 + 1/2*d + g*d**5 + 0*d**2 - d**3.
d*(d - 1)**2*(d + 1)**2/2
Let p(n) = n + 6. Let y be p(-6). Find u, given that u**3 + 5*u**5 - 3*u**5 + y*u**3 - 3*u**3 = 0.
-1, 0, 1
Let f(y) be the first derivative of -1 + 0*y**4 + 0*y**5 + 0*y**2 + 1/3*y**3 + 1/120*y**6 + 0*y. Let a(n) be the third derivative of f(n). Solve a(o) = 0.
0
Let n(a) be the third derivative of 0 + 1/30*a**5 - 1/12*a**4 + 2*a**2 - 2/3*a**3 + 0*a. Factor n(u).
2*(u - 2)*(u + 1)
Let u(b) be the third derivative of b**6/60 - b**5/5 + 3*b**4/4 - 4*b**3/3 + 14*b**2. Factor u(y).
2*(y - 4)*(y - 1)**2
Let -7/2*m**2 - 1 + 9/2*m = 0. Calculate m.
2/7, 1
Let q = -32 - -34. Suppose -2*t + 5*w = -10, -2*t + t + 5*w + 10 = 0. Solve 4/5*g**3 + t*g**2 + 0 + 0*g - 6/5*g**5 - q*g**4 = 0.
-2, 0, 1/3
Let q(f) be the third derivative of -f**6/60 + f**5/6 - 2*f**4/3 + 4*f**3/3 + 2*f**2. Find w, given that q(w) = 0.
1, 2
Suppose -4*y - 3*o - 6 = -0, y + o + 2 = 0. Let j = y + 3. Factor -2/7 - 2/7*s + 2/7*s**2 + 2/7*s**j.
2*(s - 1)*(s + 1)**2/7
Let o(h) be the second derivative of 7*h**6/360 - 3*h**5/40 + h**4/12 + 7*h**3/6 - 3*h. Let j(i) be the second derivative of o(i). Factor j(m).
(m - 1)*(7*m - 2)
Let s(y) be the third derivative of -1/40*y**6 + 0*y + 0*y**5 + 3*y**2 + 3/8*y**4 + 0 + y**3. Factor s(l).
-3*(l - 2)*(l + 1)**2
Let u(h) = h**2 + h. Let b(i) = -3*i + 2*i**2 - 4*i**2 - 2*i**2 + 1. Let y(p) = 4*b(p) + 18*u(p). Factor y(x).
2*(x + 1)*(x + 2)
Let b be (-33)/(-11) + -1*1. Factor -14/11*j - 10/11*j**3 - 2*j**b - 2/11.
-2*(j + 1)**2*(5*j + 1)/11
Let r be 1 + (-1 - 2) + -2. Let a be (3 + r)/((-2)/4). Find l, given that l**2 - 3 + 3 - a*l + 2 - l = 0.
1, 2
Let a(x) be the second derivative of x**7/21 - 3*x**6/20 + 3*x**5/20 - x**4/24 + 9*x. Find t such that a(t) = 0.
0, 1/4, 1
Let f be (395/(-75) + 5)/((-2)/55). Find g such that -14/3*g**2 - 4/3 + 16*g**4 + f*g - 52/3*g**3 = 0.
-2/3, 1/4, 1/2, 1
Let s(r) be the third derivative of r**6/120 + r**2 + r. Factor s(y).
y**3
Let a(v) be the second derivative of -v**4/3 + 5*v**3/3 - 2*v**2 + 3*v. Suppose a(f) = 0. Calculate f.
1/2, 2
Let k = 594/5 + -118. Suppose -u + 1 = u + g, -4*g - 4 = 4*u. Factor -2/5 - k*m - 2/5*m**u.
-2*(m + 1)**2/5
Let a(k) be the third derivative of -k**7/280 - k**6/120 - 2*k**3/3 - 5*k**2. Let s(l) be the first derivative of a(l). Solve s(z) = 0 for z.
-1, 0
Let 0*o + 4/3*o**3 + 0 + 2/3*o**4 + 2/3*o**2 = 0. Calculate o.
-1, 0
Let c(f) be the third derivative of -f**5/20 - 13*f**4/32 - 3*f**3/8 - 16*f**2. Factor c(h).
-3*(h + 3)*(4*h + 1)/4
Let v be 3/(-3)*2 - -2. Let q(s) = s**3 + s**2 - s + 4. Let r be q(v). Factor -k**r + 0*k**4 - k**4.
-2*k**4
Let h(s) be the first derivative of s - 1/2*s**3 + 1/12*s**4 + s**2 + 2. Let u(i) be the first derivative of h(i). Factor u(j).
(j - 2)*(j - 1)
Factor 0*x**2 + 0 + 1/3*x**3 - 2/3*x**4 + 0*x.
-x**3*(2*x - 1)/3
Factor 0*u**2 + 0 + 4/5*u + 0*u**4 + 4/5*u**5 - 8/5*u**3.
4*u*(u - 1)**2*(u + 1)**2/5
Let x(h) = -h**2 + 3*h + 3. Let j be x(3). Let b(t) = -2*t**2 + 2. Let g(l) = -5*l**2 + l + 6. Let k(o) = j*g(o) - 8*b(o). Suppose k(y) = 0. Calculate y.
-2, -1
Let j = -19 + 23. Solve -1/3*s**j - 5/3*s**3 - 7/3*s - 2/3 - 3*s**2 = 0 for s.
-2, -1
Determine q so that 2*q**4 - 6/5*q**3 + 0 - 4/5*q**2 + 0*q = 0.
-2/5, 0, 1
Factor -3*a**2 - 9*a**4 - 40*a - 12*a**3 + 40*a.
-3*a**2*(a + 1)*(3*a + 1)
Let n(j) = -j**2 + j + 1. Let d be -3 + 0/((-6)/2). Let s(q) = 18*q**2 + 60*q - 15. Let i(w) = d*n(w) + s(w). Factor i(g).
3*(g + 3)*(7*g - 2)
Let d be (-3)/(1*1/(-3)). Suppose -d = -5*s - f + 15, 2*f = -s + 3. Factor 15*z**4 + 8*z**2 - 33*z**3 - 23*z**5 + 33*z**4 - 2*z**2 + 2*z**s.
-3*z**2*(z - 1)**2*(7*z - 2)
Suppose -7/4*l**2 + 3/4*l**4 - 1/4*l**3 + 1 + 1/4*l**5 + 0*l = 0. What is l?
-2, -1, 1
Let z(h) be the second derivative of h**4/42 + h**3/21 - 2*h**2/7 - 9*h. Factor z(q).
2*(q - 1)*(q + 2)/7
Let m(n) be the second derivative of 2*n + 0 + 0*n**2 - 1/36*n**4 + 1/18*n**3. Factor m(o).
-o*(o - 1)/3
Suppose u = u + 2*u. Find q, given that 1/2 - 1/2*q**2 + u*q = 0.
-1, 1
Factor 12*h**2 + 215*h + 90 - 28*h**2 - 9*h**2.
-5*(h - 9)*(5*h + 2)
Let p be (2 - 4/8) + 1/2. Find n, given that -6*n**4 - 2/9 - 20/9*n - 8*n**p - 12*n**3 = 0.
-1, -1/3
What is y in -1/2*y + 0*y**2 + 1/4 - 1/4*y**4 + 1/2*y**3 = 0?
-1, 1
Factor 0*x**2 + 2/9*x**3 + 32/9 - 8/3*x.
2*(x - 2)**2*(x + 4)/9
Let v be (-2 - (-5)/5) + 5. Factor 0 + 14/3*i**v + 32/3*i**3 + 22/3*i**2 + 4/3*i.
2*i*(i + 1)**2*(7*i + 2)/3
Let z(p) be the third derivative of p**7/315 + p**6/45 - p**5/90 - p**4/9 - 14*p**2. Let z(r) = 0. Calculate r.
-4, -1, 0, 1
Let q(t) = -t**3 + 13*t**2 + 13*t + 14. Let f be q(14). Let d(g) be the second derivative of 3/20*g**5 - g**4 + 2*g + 5/2*g**3 + f - 3*g**2. Factor d(y).
3*(y - 2)*(y - 1)**2
Factor -10*y**3 + 26 - 26 + 0*y**3 - 5*y**4 - 5*y**2.
-5*y**2*(y + 1)**2
Let g(u) be the second derivative of u**4/3 - 4*u**3/3 + 2*u**2 - 3*u. Find a, given that g(a) = 0.
1
Let t(i) be the first derivative of -4*i**6 - 12*i**5 - 51*i**4/8 - i**3 - 11. Determine l so 