4*d**2 - 1 + m*d**2 + 0*d**u + 2*d = 0.
1
Let t(q) be the second derivative of q**6/1800 - q**5/150 + q**4/30 - 5*q**3/3 + 6*q. Let n(c) be the second derivative of t(c). Factor n(g).
(g - 2)**2/5
Factor 3*g**3 + 38*g - 8*g**2 + 2*g**2 - 35*g.
3*g*(g - 1)**2
Let x(n) = n**3 + 3*n**2 - n - 1. Let t(d) = d**2 - 7*d - 3. Let i be t(7). Let w be x(i). Determine f so that 1/5 + 1/5*f**w + 2/5*f = 0.
-1
Let d = 33 + -30. Suppose 1/5*l**d + 0 - 3/5*l**4 + 3/5*l**2 - 1/5*l = 0. What is l?
-1, 0, 1/3, 1
Factor -2/7*j**3 + 2/7*j + 2/7*j**2 - 2/7.
-2*(j - 1)**2*(j + 1)/7
Suppose -12*p = -7*p. Let 0*l + 2/5*l**2 + p = 0. Calculate l.
0
Let c = 15 + -11. Let r be c/2 + (-1)/2. Factor -1/4 - 1/4*h**4 - r*h**2 - h**3 - h.
-(h + 1)**4/4
Let p be (350/(-85) + 4)/(-1). Suppose 0 + 2/17*s**2 + p*s = 0. What is s?
-1, 0
Determine b so that 0 + 0*b + 5/4*b**2 + 1/4*b**3 = 0.
-5, 0
Let a = 77 + -75. Determine g so that 0 - 3/2*g**4 - 1/2*g**5 + 0*g - 1/2*g**a - 3/2*g**3 = 0.
-1, 0
Let v(r) be the second derivative of -r**5/40 + 5*r**4/8 - 21*r**3/4 + 49*r**2/4 + 24*r. Determine u so that v(u) = 0.
1, 7
Let a(p) be the first derivative of -p**6/27 + 4*p**5/45 + p**4/9 - 8*p**3/27 - p**2/9 + 4*p/9 + 5. Determine b so that a(b) = 0.
-1, 1, 2
Let i(z) = 3*z**3 - 3*z**2 - 2*z. Let c(r) = -10*r**3 + 9*r**2 + 7*r. Let y(l) = 2*c(l) + 7*i(l). Factor y(h).
h**2*(h - 3)
Let u(s) = s**3 + 5*s**2 - 8*s - 7. Let t be (-20)/3 + 2/3. Let k be u(t). Find p such that -1/2*p**5 - 5/2*p + 5/2*p**4 + 5*p**2 + 1/2 - k*p**3 = 0.
1
Factor 7*h**5 + 5*h**5 + 2*h + 2*h**2 + 2*h - 2*h**4 - 10*h**5 - 6*h**3.
2*h*(h - 2)*(h - 1)*(h + 1)**2
Let s = 4 + -2. Solve 2*m**2 - s*m + m**3 + 2*m + m = 0 for m.
-1, 0
Let x(t) = 3*t. Let d be x(-3). Let z = -4 - d. Determine g, given that 2/3*g**2 + 0*g - 2/3*g**z + 2/3*g**3 + 0 - 2/3*g**4 = 0.
-1, 0, 1
Let a = 19 - 15. Let 2 + 2*z + 15*z**a - 4*z**2 - 18*z**4 + 5*z**4 - 4*z**3 + 2*z**5 = 0. What is z?
-1, 1
Suppose 7*y + 10*y + 6*y**3 - 5*y - 2*y**2 - 8*y**3 = 0. What is y?
-3, 0, 2
Let s(h) be the second derivative of -h**5/140 + h**4/21 - 2*h**3/21 - 13*h. Determine o, given that s(o) = 0.
0, 2
Let m = 6 + -8. Let d(n) = -n**2 - 4*n - 3. Let k be d(m). Solve x**2 - 2*x - 2*x**2 - k + 0*x + 0*x = 0 for x.
-1
Factor 4/7*w + 0 + 8/7*w**3 + 10/7*w**2 + 2/7*w**4.
2*w*(w + 1)**2*(w + 2)/7
Find l, given that -2/5*l**4 + 8/5*l**3 + 0 + 4/5*l - 2*l**2 = 0.
0, 1, 2
Let t(h) be the first derivative of h**6/30 + h**5/25 - 7. Factor t(v).
v**4*(v + 1)/5
Let m = 22 + -20. Suppose 7*h - 3 = p + m*h, 0 = -5*p + 5*h + 5. Determine z so that 1/4*z**3 - 1/4*z**4 + 1/2 + 3/4*z**p - 5/4*z = 0.
-2, 1
Let r be -18*(16/6 - 3). Let l(a) be the first derivative of 18/35*a**5 + 0*a + 2/7*a**4 + 1 - 3/7*a**r - 8/21*a**3 + 0*a**2. Determine y so that l(y) = 0.
-2/3, 0, 2/3, 1
Suppose 0*o - 2*o = 0. Let x(z) be the first derivative of o*z**2 + 2 - 2/5*z + 0*z**4 + 4/15*z**3 - 2/25*z**5. Factor x(w).
-2*(w - 1)**2*(w + 1)**2/5
Let d(b) be the first derivative of -3/20*b**4 - 3/25*b**5 + 5 + 3/10*b**2 + 1/5*b**3 + 0*b. Let d(g) = 0. What is g?
-1, 0, 1
Let g(y) be the third derivative of -y**8/56 - 16*y**7/105 - 9*y**6/20 - y**5/3 + y**4 + 8*y**3/3 + 14*y**2. Solve g(o) = 0.
-2, -1, 2/3
Let x(s) = -s**3 + 11*s**2 + 13*s - 10. Let m be x(12). Factor -2/3*z**m - 2/3 + 4/3*z.
-2*(z - 1)**2/3
Let p(k) be the third derivative of -8*k**6/15 - 56*k**5/15 + 31*k**4/6 - 8*k**3/3 + 5*k**2. Factor p(x).
-4*(x + 4)*(4*x - 1)**2
Let s = 8/147 + 30/49. Factor 0*y - s + 2/3*y**2.
2*(y - 1)*(y + 1)/3
Let y(r) = -12*r**3 + 27*r**2 - 20*r + 5. Let s(o) be the first derivative of -3*o**4 + 9*o**3 - 21*o**2/2 + 6*o - 2. Let n(v) = 2*s(v) - 3*y(v). Factor n(p).
3*(p - 1)**2*(4*p - 1)
Suppose 3/4*k + 1/4*k**3 - 1/4 - 3/4*k**2 = 0. Calculate k.
1
Suppose -8 = -4*t + 24. Suppose -3*z + t + 1 = 0. Factor 0 - 2/5*b**4 + 8/5*b - 16/5*b**2 + 2*b**z.
-2*b*(b - 2)**2*(b - 1)/5
Determine n so that -4/5*n - 12/5*n**4 - 1/5*n**3 + 0 + n**5 + 12/5*n**2 = 0.
-1, 0, 2/5, 1, 2
Suppose -30*h = -23*h. Suppose 1/8*b + 1/8*b**2 - 1/8*b**4 + h - 1/8*b**3 = 0. What is b?
-1, 0, 1
Suppose 6 - 2 = 2*j. Let c(z) be the second derivative of -2*z + 0 + 1/4*z**4 - 1/20*z**5 + 0*z**j - 1/3*z**3. Factor c(h).
-h*(h - 2)*(h - 1)
Let j(s) be the third derivative of s**7/140 - 3*s**6/40 + 9*s**5/40 - s**4/4 + 6*s**2. Factor j(z).
3*z*(z - 4)*(z - 1)**2/2
Let z = 199 + -197. Find r such that 0*r + 2/9*r**z - 2/9*r**3 + 0 = 0.
0, 1
Let z(w) be the second derivative of w**5/225 - w**4/180 - 5*w**2/2 - 3*w. Let c(x) be the first derivative of z(x). Solve c(q) = 0.
0, 1/2
Let v(o) be the second derivative of -o**4/12 + o**3 - 9*o**2/2 + 3*o. Solve v(b) = 0.
3
Let j be 7/4 - (-20)/80. Let 1/5*u**3 + 0*u + 0 - 1/5*u**j = 0. Calculate u.
0, 1
What is y in 72/5 + 24/5*y + 2/5*y**2 = 0?
-6
Let n(l) be the second derivative of l**5/210 + l**4/28 + 3*l**2 - 6*l. Let r(m) be the first derivative of n(m). Factor r(v).
2*v*(v + 3)/7
Suppose -5*r + 0 = -15. Let -2*p - 3*p - 6*p**2 + 2*p + 3 - 3*p**5 + r*p**4 + 6*p**3 = 0. Calculate p.
-1, 1
Let m(b) be the second derivative of b**6/10 - b**4/4 + 10*b. Factor m(f).
3*f**2*(f - 1)*(f + 1)
Let o(k) be the third derivative of k**7/1260 - k**6/180 + k**5/60 - k**4/8 + 3*k**2. Let a(s) be the second derivative of o(s). Factor a(p).
2*(p - 1)**2
Find v, given that -4*v**3 + 4*v**2 + 72 - 4*v**4 - 72 + 4*v**5 = 0.
-1, 0, 1
Let p(w) be the first derivative of 3 - 3*w**2 - 1/2*w**4 - 2*w**3 - 2*w. Suppose p(t) = 0. What is t?
-1
Let z(d) be the first derivative of -d**4/5 + 4*d**3/5 - 6*d**2/5 + 4*d/5 + 19. Suppose z(h) = 0. What is h?
1
Let l(i) be the first derivative of 0*i - 5 + 1/22*i**4 + 2/55*i**5 + 0*i**3 + 0*i**2. Find c such that l(c) = 0.
-1, 0
Let d be ((-12)/8)/(3/(-8)). Suppose d = b + b. Suppose -4 + 2*y - 2*y - y**4 + b*y**2 + 3 = 0. Calculate y.
-1, 1
Let l(x) = -x**3 - 4*x**2 + 4*x - 12. Let w be l(-5). Let u be w*(-7)/(98/4). Factor -4/3*k + 2/3 + 2/3*k**u.
2*(k - 1)**2/3
Suppose -3*t = 15, a + 2*t + 26 = -2*t. Let l be 1 + (a/(-2) - 2). Factor -1/2*q + 1/2*q**l + 0.
q*(q - 1)/2
What is j in 27/4*j**3 - 1/2 - 9*j**2 + 15/4*j = 0?
1/3, 2/3
Let 57/4*c - 9/2 - 6*c**2 - 15/4*c**3 = 0. Calculate c.
-3, 2/5, 1
Suppose -6 = -4*s + s. Suppose -w + 27 = -5*z, 3*w - 14 = w + s*z. Factor 2*j**w - j**3 + 3*j**3 - 4*j**3.
-2*j**2*(j - 1)
Let o(j) be the third derivative of 0*j + 0*j**3 - 1/60*j**5 - j**2 + 1/24*j**4 + 0. Determine z so that o(z) = 0.
0, 1
Suppose -2*k = 3*k. Let o(w) be the second derivative of 0 + 0*w**2 + 1/100*w**5 - 1/60*w**4 + w - 1/210*w**7 + 1/150*w**6 + k*w**3. Let o(q) = 0. Calculate q.
-1, 0, 1
Let x = -202/3 + 68. Factor -2/9*s**2 + x*s + 2/9 - 2/3*s**3.
-2*(s - 1)*(s + 1)*(3*s + 1)/9
Suppose 5*m + 2*v = 8, -2*m + 9*v = 6*v + 12. Let j(t) be the first derivative of 9/2*t**2 + 2 - 3*t**4 - 6*t + m*t**5 + 1/2*t**6 + 2*t**3. Solve j(d) = 0.
-2, -1, 1
Factor -8/3*r - 8/7 + 2/3*r**2 + 10/21*r**3.
2*(r - 2)*(r + 3)*(5*r + 2)/21
Let f(s) = 3*s**3 - s**2 - 11*s + 7. Let o = 2 - -2. Let d(i) = 2*i**3 - 6*i + 4. Let v(a) = o*f(a) - 7*d(a). Factor v(n).
-2*n*(n + 1)**2
Factor 0*b + 0 + 0*b**2 + 0*b**3 + 1/6*b**4.
b**4/6
Determine k, given that -2/3*k**2 + 2*k - 4/3 = 0.
1, 2
Find m, given that 3/4*m**3 - 9/2*m**2 + 9/4*m + 15/2 = 0.
-1, 2, 5
Suppose -2*d - z - 19 = 0, d - 2*z = -2*d - 11. Let r = d - -7. Factor -j - 1/4*j**3 + j**2 + r.
-j*(j - 2)**2/4
Let g be (-3)/((-4)/(-18) - (-154)/(-99)). Solve g + 15/2*w + 27/4*w**2 + 3/2*w**3 = 0 for w.
-3, -1, -1/2
Suppose -5*m = -m - 8. Let q = -3 - -6. Factor -4*b**3 + m*b**3 + b**q + b.
-b*(b - 1)*(b + 1)
Let l(r) be the second derivative of 2*r**7/21 - 2*r**6/5 + 3*r**5/5 - r**4/3 - 8*r. Factor l(k).
4*k**2*(k - 1)**3
Factor -23*l**3 + 30*l + 40*l**3 + 9*l**2 - 20*l**3.
-3*l*(l - 5)*(l + 2)
Suppose -4*a + a = -6. Let o be 2/1*3/a. Find g such that -3*g + o*g - g**4 + 0*g**3 + g**3 = 0.
0, 1
Factor -a + 3*a**4 - 3*a**2 + 3*a + 115*a**5 - a**3 - 116*a**5.
-a*(a - 2)*(a - 1)**2*(a + 1)
Let k(w) be the first derivative of -w**6/105 + w**5/14 - 4*w**4/21 + 4*w**3/21 - 3*w + 1. Let a(u) be the first derivative of k(u). Solve a(s) = 0.
0, 1, 2
Suppose -15*o + 12 = -3*o. Let -d - o - 1/4*d**2 = 0. Calculate d.
-2
Let t(l) be the second derivativ