 - 3*u**2 = 0.
-3, -1
Let u(p) be the first derivative of -p**4/42 + 4*p**3/21 - 4*p**2/7 - p + 2. Let d(y) be the first derivative of u(y). Solve d(j) = 0.
2
Let r(n) be the second derivative of n**4/60 + 2*n**3/15 + 3*n**2/10 - 10*n. Solve r(m) = 0.
-3, -1
Suppose b = 5*f - 3*f + 6, -6 = 2*f + 5*b. Let o be 2/f - (-2)/3. Suppose o*m**3 - 2/7*m**4 + 0*m**2 + 2/7*m**5 + 0 + 0*m = 0. Calculate m.
0, 1
Determine j, given that 3/5 + 3*j**4 + 6*j**2 - 3/5*j**5 - 3*j - 6*j**3 = 0.
1
Let i(c) be the second derivative of 2*c - 1/42*c**4 - 2/21*c**3 + 0 - 1/7*c**2. Factor i(t).
-2*(t + 1)**2/7
Let z(q) be the first derivative of 2*q**5/5 - q**4/2 - 1. Factor z(g).
2*g**3*(g - 1)
Let y(t) be the second derivative of -t**6/10 - 9*t**5/20 + 5*t**4/4 + 3*t**3/2 - 6*t**2 + 24*t. Solve y(j) = 0 for j.
-4, -1, 1
Let q = 32 + -10. Suppose -f = -v - 6*f - q, 4*v - f - 17 = 0. Factor 0*j + 2/3*j**2 + 0 + 16/3*j**4 + 7/3*j**5 + 11/3*j**v.
j**2*(j + 1)**2*(7*j + 2)/3
Let y = 61 - 61. Let d(s) be the second derivative of y*s**2 + s + 0 + 1/12*s**4 - 1/30*s**5 - 1/18*s**3. Factor d(l).
-l*(l - 1)*(2*l - 1)/3
Let j(s) be the third derivative of 7/24*s**4 - 1/12*s**5 - 1/3*s**3 - s**2 + 0*s + 0. Find c such that j(c) = 0.
2/5, 1
Let m be (-3 + 10 - 4) + 0. Suppose 5*x + m*o = 4*x + 5, 5*x - 13 = -3*o. Suppose 0 - 1/3*g**x + 1/3*g**4 + 0*g + 1/3*g**3 - 1/3*g**5 = 0. Calculate g.
-1, 0, 1
Let v(u) = 2*u**2 - 8*u - 30. Let o(z) = -z + 1. Let k(j) = 10*o(j) + v(j). Factor k(d).
2*(d - 10)*(d + 1)
Let x = -3/35 + 79/105. Factor 0 - x*a**2 + 2/3*a.
-2*a*(a - 1)/3
Find f such that 1/7*f**3 - 1/7*f + 2/7*f**2 - 2/7 = 0.
-2, -1, 1
Suppose 3*i - 5 = -5. Suppose -6/5*k**4 + 0*k + 0 - 3/5*k**5 - 3/5*k**3 + i*k**2 = 0. Calculate k.
-1, 0
Let r be (1*-4)/(-8) - 14/(-4). Factor 2/3*i**2 - 2/3*i**3 + 0*i + 2/3*i**5 + 0 - 2/3*i**r.
2*i**2*(i - 1)**2*(i + 1)/3
Let c(d) be the third derivative of 0 + 1/210*d**7 + 0*d + 0*d**4 - 1/60*d**5 + 0*d**3 - 1/120*d**6 + 1/336*d**8 - 6*d**2. Factor c(q).
q**2*(q - 1)*(q + 1)**2
Let s = -20 - -23. Let -3/2*j**5 - 2*j**2 + 0 - 4/3*j + 7/3*j**s + 5/2*j**4 = 0. Calculate j.
-2/3, 0, 1, 2
Let r be 2 - (1 - -1 - 2). Suppose -8 = -r*c - 4. What is j in -c + 0 - j**2 + 0 - 3*j = 0?
-2, -1
Let u(h) be the third derivative of -3*h**7/35 - h**6/2 - 37*h**5/30 - 5*h**4/3 - 4*h**3/3 - 2*h**2. Factor u(i).
-2*(i + 1)**2*(3*i + 2)**2
Let m(l) be the second derivative of -l**4/16 + l**3/2 + 15*l**2/8 - 4*l + 1. Find g, given that m(g) = 0.
-1, 5
Suppose -z + 0 = -6. Factor 0*h**3 + 0*h - 5*h**3 + 2*h**3 - z*h**2 - 3*h.
-3*h*(h + 1)**2
Let m(a) = a**3 - 9*a**2 - 9*a - 5. Let o be m(10). Let u be (50/6)/o - -1. What is h in 2*h**3 - 16/3*h**2 + u*h + 0 = 0?
0, 2/3, 2
Let b(q) be the third derivative of -q**8/168 - 2*q**7/35 - q**6/5 - q**5/3 - q**4/4 + 26*q**2. Factor b(m).
-2*m*(m + 1)**3*(m + 3)
Let w be (2 - 2)/(1 + -3). Let a be ((-3)/9)/(4/(-24)). Factor 1/2*c**a + w + c.
c*(c + 2)/2
Let j(r) be the third derivative of r**7/105 + r**6/60 - r**5/30 - r**4/12 - 13*r**2. Factor j(i).
2*i*(i - 1)*(i + 1)**2
Let f(y) be the second derivative of -1/3*y**3 - 2/3*y**4 - 3/10*y**5 + 0 + 4/21*y**7 + 4/15*y**6 - 3*y + 0*y**2. Let f(x) = 0. Calculate x.
-1, -1/2, 0, 1
Let k(x) be the first derivative of 4*x - 1/4*x**4 + 2*x**3 - 2 - 9/2*x**2. Find g such that k(g) = 0.
1, 4
Let c(x) = 2*x**2 + x - 1. Let p be c(-2). Let t be 2/5 + 13/p. Factor 2 - j - 5*j - 2*j**2 + 3*j**3 + t*j.
(j - 1)*(j + 1)*(3*j - 2)
Let x(t) be the first derivative of -2*t**3 + t**2 + 3 - 2/5*t**5 + 0*t + 3/2*t**4. Factor x(k).
-2*k*(k - 1)**3
Let u(q) = -3*q**3 + 6*q**2 - 12*q. Let c(k) = -6*k**3 + 13*k**2 - 23*k + 1. Let t(p) = -3*c(p) + 5*u(p). Factor t(l).
3*(l - 1)**3
Factor 0 + 1/5*r - 1/5*r**2.
-r*(r - 1)/5
Determine b so that 0*b + 0 + b**3 - 1/2*b**4 - 1/2*b**2 = 0.
0, 1
Let v(h) be the second derivative of -h**7/2940 - h**3/3 + 3*h. Let x(t) be the second derivative of v(t). Solve x(d) = 0.
0
Let r(d) be the first derivative of -d**5/20 + d**4/4 - d**3/2 + d**2/2 - 3*d - 5. Let u(b) be the first derivative of r(b). Let u(g) = 0. What is g?
1
Let -2/7*g**4 + 1/7*g**5 + 2/7*g**2 - 1/7*g**3 + 0 + 0*g = 0. Calculate g.
-1, 0, 1, 2
Let j(m) be the first derivative of m**4/108 + m**3/18 + m**2/9 - 8*m + 4. Let t(v) be the first derivative of j(v). Factor t(d).
(d + 1)*(d + 2)/9
Let g(c) = -6*c**2 + 2*c + 1. Let o be g(-1). Let k = o + 22/3. Find a, given that 1/3 - 2/3*a + 0*a**2 + 2/3*a**3 - k*a**4 = 0.
-1, 1
Let d = -23 + 13. Let n = -7 - d. Factor 2*u**3 - 2*u**3 - 4*u**n + 2*u**5 + 2*u.
2*u*(u - 1)**2*(u + 1)**2
Suppose 3*g = 6*g - 6. Let b(a) be the second derivative of -2/135*a**6 + 0*a**g - 1/27*a**3 + a + 1/30*a**5 + 0 + 0*a**4. Factor b(j).
-2*j*(j - 1)**2*(2*j + 1)/9
Suppose -5/3*o**2 - 1/3*o + 2/3 + o**4 + 1/3*o**3 = 0. What is o?
-1, 2/3, 1
Let l(p) be the first derivative of -1 + 2/15*p**3 + 8/5*p - 4/5*p**2. What is g in l(g) = 0?
2
Suppose -r = 1 - 11. Factor -3*i**3 + i**3 + 4*i**4 - r*i**3 + 12*i**2 - 4*i.
4*i*(i - 1)**3
Suppose 5/6*t**4 + 1/6*t**5 - 7/6*t - 1/2 - 1/3*t**2 + t**3 = 0. What is t?
-3, -1, 1
Factor 1/5*g**2 + 0 - 3/10*g + 1/10*g**3.
g*(g - 1)*(g + 3)/10
Let t be (3 - 2)*4 + -79. Let j be (-160)/t - 4/(-20). Solve -5/3*y**5 - 2/3*y**3 + j*y**4 + 0 + 0*y**2 + 0*y = 0.
0, 2/5, 1
Let p(x) be the third derivative of 1/2*x**3 - 1/160*x**6 + 0*x**4 - 3/80*x**5 + 0*x + 0 + 3*x**2. Factor p(o).
-3*(o - 1)*(o + 2)**2/4
Find a, given that 1/6*a - 1/6*a**2 + 0 = 0.
0, 1
Let c be ((-34)/(-459))/((-2)/(-6)). Let -2/9*m**2 + 0 + c*m = 0. Calculate m.
0, 1
Let d(k) be the first derivative of k**4/10 - k**2/5 - 1. Let d(g) = 0. What is g?
-1, 0, 1
Let f(a) be the second derivative of 1/6*a**2 - 1/18*a**3 - 1/36*a**4 + a + 1/60*a**5 + 0. Factor f(h).
(h - 1)**2*(h + 1)/3
Let n(i) = -6*i**2 + 29*i - 23. Let v(l) = -2*l**2 + 10*l - 8. Let u(s) = 4*n(s) - 11*v(s). Let u(c) = 0. What is c?
1, 2
Let w(m) be the third derivative of m**6/40 + 3*m**5/10 + 9*m**4/8 + 2*m**2. What is k in w(k) = 0?
-3, 0
Let v(f) be the first derivative of -f**6/7 + 6*f**5/35 + 3*f**4/7 - 31. Factor v(x).
-6*x**3*(x - 2)*(x + 1)/7
Let j(z) = -2*z**4 + 6*z**3 - 4*z**2 - 2*z - 2. Let r(m) = -2*m**4 + 7*m**3 - 5*m**2 - 3*m - 3. Let h(p) = -3*j(p) + 2*r(p). Suppose h(u) = 0. Calculate u.
0, 1
Let c(n) be the first derivative of 35*n**3/3 - 40*n**2 + 20*n - 43. Factor c(y).
5*(y - 2)*(7*y - 2)
Suppose -2*q - 2 = -2*i, 0*i = -4*i - 3*q + 4. Determine g so that 0*g + 1 + g - g**3 - 2*g**2 + i = 0.
-2, -1, 1
Let l(c) be the first derivative of -c**6/72 - c**5/60 - c**3 - 2. Let a(f) be the third derivative of l(f). Factor a(r).
-r*(5*r + 2)
Let o(v) be the first derivative of 4*v**6/33 - 14*v**5/55 - v**4/11 + 16*v**3/33 - 2*v**2/11 - 2*v/11 + 7. Solve o(y) = 0 for y.
-1, -1/4, 1
Let l(c) be the first derivative of c**6/2 - 9*c**5/5 - 3*c**4/4 + 7*c**3 - 12*c + 9. Determine o so that l(o) = 0.
-1, 1, 2
Let a = -59 + 237/4. Let w = 4/15 + 7/30. Factor 1/4*s**2 - w*s + a.
(s - 1)**2/4
Let q(o) be the third derivative of -1/24*o**4 - 1/40*o**6 + 0 + 0*o + 6*o**2 - 1/15*o**5 + 0*o**3. Find j, given that q(j) = 0.
-1, -1/3, 0
Let s(r) = r**3 - r**2. Let v(t) = -4*t**3 + 5*t**2. Let u(l) = -15*s(l) - 3*v(l). Suppose u(n) = 0. Calculate n.
0
Suppose -2*t + l + 8 = 0, 9 - 19 = 5*t + 5*l. Suppose 1/2*f - 1/2*f**3 + 1/2*f**4 + 1 - 3/2*f**t = 0. Calculate f.
-1, 1, 2
Let v(r) = -r**2 + 10*r - 11. Let p be v(5). Let u = 16 - p. Factor u*g + 4/5 + 2/5*g**3 + 8/5*g**2.
2*(g + 1)**2*(g + 2)/5
Let j(i) be the first derivative of i**6/120 - i**3 + 2. Let u(t) be the third derivative of j(t). Solve u(h) = 0.
0
Factor 3/4*r + 5/4*r**2 - 9/4 + 1/4*r**3.
(r - 1)*(r + 3)**2/4
Let j(m) = m**4 + m**3 - m**2 - m. Let l(w) = 12*w**4 + 8*w**3 - 12*w**2 - 8*w. Let d be (-2)/9 + (-14)/18. Let n(f) = d*l(f) + 10*j(f). Factor n(g).
-2*g*(g - 1)**2*(g + 1)
Let q(h) = h**2 + 2*h - 12. Let y be q(-5). Let w(g) be the first derivative of 2/5*g**y - 3 + 3/5*g**2 + 2/5*g + 1/10*g**4. Factor w(o).
2*(o + 1)**3/5
Let r(p) be the first derivative of p**6/540 + p**5/180 + p**3/3 - 1. Let j(t) be the third derivative of r(t). Let j(n) = 0. What is n?
-1, 0
Let o(k) be the first derivative of -k**2/2 + k - 1. Let m be o(-1). What is y in -y**4 + 3*y**4