hat o(w) = 0.
0, 1
Suppose 4*l + 0 = -2*c - 2, 20 = 5*l - 2*c. Suppose 0 = -2*z + 5*k - 10, 2*k + l = -2*z + 6. Let 0*t**3 + 3*t + t**3 - 6*t + z + 2 = 0. Calculate t.
-2, 1
Let w be (-1 - -2)*4/14. Factor -2/7*k**2 + 2/7*k**3 + 2/7 - w*k.
2*(k - 1)**2*(k + 1)/7
Let q(l) be the second derivative of -6*l + 1/147*l**7 + 1/21*l**4 + 0 - 2/7*l**2 + 0*l**6 + 1/7*l**3 - 2/35*l**5. Find j, given that q(j) = 0.
-2, -1, 1
Let m(i) = 14*i**2 - i - 1. Let v be m(-1). Let b be 2/(-30)*(2 - v). Solve b + 2/5*t**2 - 6/5*t = 0 for t.
1, 2
Let c(t) be the first derivative of t**4/2 - 4*t**3/3 - t**2 + 4*t - 3. Factor c(o).
2*(o - 2)*(o - 1)*(o + 1)
Let q(w) be the third derivative of w**9/6048 - w**8/3360 + w**3/2 - 3*w**2. Let a(p) be the first derivative of q(p). Factor a(j).
j**4*(j - 1)/2
Let l(x) be the third derivative of x**8/1512 - x**6/540 - 21*x**2. Let l(y) = 0. What is y?
-1, 0, 1
Let i be 2*(4 - 1) + -4. Determine z, given that 12 - 2*z - 3 - 7*z**3 - 9 + 9*z**i = 0.
0, 2/7, 1
Let i(a) be the second derivative of a**5/40 - a**4/24 - a**3/6 + 21*a. Determine v, given that i(v) = 0.
-1, 0, 2
Let h(x) = -6*x**2 - 19*x + 11. Let f(q) = 2*q**2 + 6*q - 4. Let o(y) = -7*f(y) - 2*h(y). Suppose o(j) = 0. What is j?
-3, 1
Factor -6/5*j - 6*j**3 + 27/5*j**2 + 0.
-3*j*(2*j - 1)*(5*j - 2)/5
Solve -1/5*s**4 + 1/5*s**2 + 2/5*s + 0 + 1/5*s**5 - 3/5*s**3 = 0 for s.
-1, 0, 1, 2
Let 2*x**3 - 2*x**3 + 2*x**3 + x - 2 - x**4 + 3*x**2 - 3*x**3 = 0. Calculate x.
-2, -1, 1
Let s(h) = h**3 + 2*h**2 + 2*h. Let l(i) = i**2. Let t be 2 + 2 + 2 + -1. Let k = 2 + -3. Let n(m) = k*s(m) + t*l(m). Suppose n(a) = 0. What is a?
0, 1, 2
Let l(c) be the third derivative of -5*c**8/336 - c**7/42 + c**6/24 + c**5/12 + 2*c**2. Factor l(w).
-5*w**2*(w - 1)*(w + 1)**2
Let c = 150 + -445/3. Factor -2/3*f + 0 - 7/3*f**2 - c*f**3.
-f*(f + 1)*(5*f + 2)/3
Let k = 8 - -5. Factor -9*p - k + 3*p + p**2 + 22.
(p - 3)**2
Let h be 18/4*(2 - 0). Let z be (-21)/h - 12/(-4). What is d in 0 + z*d + 2/3*d**2 = 0?
-1, 0
Let d = -2/75 - -7/75. Let b(g) be the second derivative of 1/3*g**4 + 0 - 1/5*g**5 - d*g**6 + 1/21*g**7 - g**2 - 2*g + 1/3*g**3. Factor b(w).
2*(w - 1)**3*(w + 1)**2
Let c = 325 - 323. Suppose 2/5*m**3 + 16/5*m + 2*m**c + 8/5 = 0. Calculate m.
-2, -1
Suppose -4*p - 3 = 1. Let f be (-10)/(-5) + (0 - p). Factor j**4 + f*j**2 - 2*j**4 - 2*j**2 - j**3 + j.
-j*(j - 1)*(j + 1)**2
Factor 0 - 4/3*m**4 + 0*m**2 + 4/3*m**3 + 0*m + 1/3*m**5.
m**3*(m - 2)**2/3
Let n(d) be the third derivative of -1/168*d**8 + 3*d**2 + 0*d - 1/3*d**5 + 0 - 1/6*d**6 - 1/21*d**7 - 5/12*d**4 - 1/3*d**3. What is u in n(u) = 0?
-1
Let k(x) be the first derivative of -4*x**5/5 + x**4 + 4*x**3/3 - 2*x**2 + 2. Find z such that k(z) = 0.
-1, 0, 1
Let l be 10/30*(-1 + 2). Factor i + 2/3 + l*i**2.
(i + 1)*(i + 2)/3
Let r(f) be the third derivative of f**5/30 - f**4/4 + f**3/3 - f**2. Let d(j) = -3*j**2 + 12*j - 3. Let b(n) = 5*d(n) + 9*r(n). Solve b(w) = 0.
-1
Let 0 + 2/13*u**2 - 2/13*u**3 + 4/13*u = 0. Calculate u.
-1, 0, 2
Let -3*u + 2*u**3 + u**2 + 0*u - u**4 + u = 0. What is u?
-1, 0, 1, 2
Let i(w) be the second derivative of w**7/240 - w**6/45 + w**5/60 + 2*w**3/3 + 2*w. Let j(t) be the second derivative of i(t). Find q such that j(q) = 0.
0, 2/7, 2
What is a in 2/5*a + 1/5*a**2 - 3/5 = 0?
-3, 1
Let 0*n**3 + 2/17*n + 0 + 4/17*n**2 - 4/17*n**4 - 2/17*n**5 = 0. Calculate n.
-1, 0, 1
Let n = -11 - -13. Determine x, given that 1/7*x**4 - 3/7*x**n + 4/7 - 4/7*x + 2/7*x**3 = 0.
-2, 1
Let l(u) be the first derivative of u**4 - 8*u**3/3 + 2. Factor l(z).
4*z**2*(z - 2)
Let u be (11/(-33))/(1/(-6)). Factor 9*j**2 + j**u + 6*j**2 + 9*j - 3 - 4*j**2.
3*(j + 1)*(4*j - 1)
Let g(w) = -w**2 - 7*w - 12. Let r be g(-4). Let k(d) be the second derivative of r + 1/4*d**2 - 1/6*d**3 + 1/24*d**4 - 2*d. Solve k(o) = 0 for o.
1
Let y(t) = -t**3 - 8*t**2 + 5. Let j be y(-8). Factor -g**4 + 1/4*g**j + 1/4*g - g**2 + 0 + 3/2*g**3.
g*(g - 1)**4/4
Let d(x) be the second derivative of 2/75*x**6 + 0 - 1/105*x**7 + 1/15*x**3 + 0*x**5 + 3*x + 0*x**2 - 1/15*x**4. Factor d(r).
-2*r*(r - 1)**3*(r + 1)/5
Let r(j) be the third derivative of 1/36*j**4 + 0*j + 1/60*j**5 - 10*j**2 + 0*j**3 + 0 + 1/360*j**6. Let r(q) = 0. What is q?
-2, -1, 0
Let y(z) = z**3 + 7*z**2 + 5*z. Let r be y(-6). Suppose 0 = -4*q - 3*l + 6, 5*q - 1 = -2*l + 10. Let -10*u**2 + 2*u - u - 5*u + 8*u**q + r*u = 0. What is u?
0, 1/4, 1
Let n = 2/1669 + 6666/8345. Determine b so that -2/5*b**4 + 0*b**2 - n*b + 2/5 + 4/5*b**3 = 0.
-1, 1
Let m be (-2)/1*(-9)/6. Suppose -165*z - z**m + 2*z**2 + 165*z = 0. Calculate z.
0, 2
Let q(u) be the third derivative of u**8/33600 + u**7/8400 + u**5/30 - u**2. Let i(z) be the third derivative of q(z). What is o in i(o) = 0?
-1, 0
Let m(r) be the third derivative of r**6/2700 + r**5/450 + r**4/180 + r**3 - 3*r**2. Let t(l) be the first derivative of m(l). Factor t(z).
2*(z + 1)**2/15
Find g such that 0*g + 3/4*g**4 + 0*g**2 + 0 - 1/2*g**3 - 1/4*g**5 = 0.
0, 1, 2
Let t be (-8)/16 - 1/(-2). Let m(w) be the third derivative of 0 + 2*w**2 + t*w + 0*w**3 + 0*w**4 + 1/150*w**5. Let m(k) = 0. What is k?
0
Let u be -2 + 1 + 1 - -4. Let w = -368 + 1479/4. Factor 0 + 0*y**2 + 0*y + 1/2*y**3 + 5/4*y**u - w*y**5.
-y**3*(y - 1)*(7*y + 2)/4
Suppose -r - 5*g = -20, 4*r + 3*g - 12 = -0*r. Find f such that r*f - 2/5*f**3 + 0 + 0*f**2 = 0.
0
Let m(r) be the second derivative of -1/30*r**6 + 1/30*r**5 + 0*r**2 + 0*r**4 + 0 + 2*r + 0*r**3. Factor m(j).
-j**3*(3*j - 2)/3
Determine i, given that -20*i**2 + 354*i - 346*i - 20*i**4 + 48*i**3 - 16*i**2 = 0.
0, 2/5, 1
Let o(c) be the second derivative of -c**4/24 + 3*c**3/4 - 2*c**2 + c - 14. Factor o(p).
-(p - 8)*(p - 1)/2
Let l(s) = -8*s**2 + 5*s - 20. Let o(m) = -3*m**2 + 2*m - 7. Let f(w) = 4*l(w) - 11*o(w). Factor f(n).
(n - 3)*(n + 1)
Let b(j) = j**3 - 2*j**2 + 3*j - 3. Let a(h) = -h - 5. Let y be a(-7). Let u be b(y). Factor 5*g**3 + 24*g - 3*g**u - 7 - 12*g**2 - 9.
2*(g - 2)**3
Let j = -2 - -7. Suppose j*y + 4 = 14. What is c in -y*c**4 - c**4 + 6*c**3 - c**4 - 4*c**3 = 0?
0, 1/2
Let h(o) = -o**2 - 8*o - 5. Let c be h(-7). Factor 3*w**c - 7*w**2 + 2*w**2 + 2*w.
-2*w*(w - 1)
Let r(g) be the third derivative of -g**8/112 + 3*g**6/40 + g**5/10 + 2*g**2. What is y in r(y) = 0?
-1, 0, 2
Suppose 0 = -5*h + 3*t + 108, -t + 76 = 4*h - h. Suppose -7*l + l + h = 0. Factor 0*c + c**2 + 49/4*c**l + 7*c**3 + 0.
c**2*(7*c + 2)**2/4
Let w(p) be the first derivative of -10/3*p**6 + 10 + 0*p - 12/5*p**5 + 2*p**4 + 0*p**3 + 0*p**2. Determine i so that w(i) = 0.
-1, 0, 2/5
Let -i + 1/5*i**2 + 0 = 0. What is i?
0, 5
Let q(d) be the third derivative of d**5/210 + d**4/84 - 7*d**2. Factor q(v).
2*v*(v + 1)/7
Determine j so that -11*j**3 + 32*j**3 - 2*j**2 - 19*j**3 = 0.
0, 1
Let x(l) be the second derivative of 3*l**5/20 + l**4/2 + l**3/2 + 2*l + 8. Factor x(k).
3*k*(k + 1)**2
Let k(d) be the first derivative of -d**5/5 + 5*d**4/4 - 2*d**3 + 11. Factor k(g).
-g**2*(g - 3)*(g - 2)
Let l(h) be the first derivative of h**6/6 + 2*h**5/5 + h**4/4 + 3. Determine z so that l(z) = 0.
-1, 0
Let h(a) be the third derivative of a**7/630 + a**6/90 + a**5/30 + a**4/18 + a**3/18 - 4*a**2. Factor h(q).
(q + 1)**4/3
Let o(t) = -t + 1. Let m be o(-3). Suppose -1 = -m*n + 3. Suppose -z**2 + n - 1 + 2*z = 0. What is z?
0, 2
Suppose -23*h + 22*h + 10 = -d, -5*h + 45 = -4*d. Suppose 0*o + 0*o**2 + 0 + 0*o**3 - 2/7*o**4 + 2/7*o**h = 0. What is o?
0, 1
Let b(l) = 3*l**4 - 20*l + 0*l - 16*l**3 - 5*l**4 - 12 - 30*l**2. Let j(m) = m**3 + m**2 - m + 1. Let y(c) = b(c) + 4*j(c). Factor y(s).
-2*(s + 1)**2*(s + 2)**2
Let m(y) be the first derivative of -y**7/1680 + y**6/720 + y**5/120 - 2*y**3/3 - 2. Let r(o) be the third derivative of m(o). Solve r(g) = 0.
-1, 0, 2
Let a(l) be the third derivative of -l**9/3780 + l**7/630 + l**4/8 + 3*l**2. Let r(b) be the second derivative of a(b). Solve r(v) = 0 for v.
-1, 0, 1
Let p be ((0/1)/(-1))/2. Suppose p = f - 0 - 3. Factor 3*b**4 - 2*b**2 - 2*b**f - b**4 + 2*b + 0*b**4.
2*b*(b - 1)**2*(b + 1)
Factor 69 - d**2 - 69.
-d**2
Find q, given that 0*q**3 + 60*q**4 + 5*q**3 - 3*q**2 - 2*q**2 = 0.
-1/3, 0, 1/4
Suppose 3*q = -2*q - 7*q. Suppose 7/5*u**5 + 0*u + 0*u**2 - 9/5*u**4 + 2/5*u**3 + q = 0. Calculate u.
0, 2/7, 1
Let h(o) be the s