+ 0*l**3 + 3*l = 0. What is l?
-1, 1
Let q be -3 + 8 - 3/(-1). Let g**3 + q*g**2 + 2*g + 0*g**3 - 5*g**2 + 0*g = 0. Calculate g.
-2, -1, 0
Let y(v) be the third derivative of -v**5/15 + v**4/3 + 2*v**3 + 7*v**2. Factor y(b).
-4*(b - 3)*(b + 1)
Let a(k) be the third derivative of k**8/30240 - k**7/11340 - k**6/3240 + k**5/540 - k**4/12 + 3*k**2. Let s(c) be the second derivative of a(c). Factor s(h).
2*(h - 1)**2*(h + 1)/9
Let v = 7 - 4. Let l(a) be the first derivative of 1/12*a**v + 0*a**2 - 1/16*a**4 - 1 + 0*a. What is j in l(j) = 0?
0, 1
Suppose 3*f + 5*f - 16 = 0. Let z(y) be the third derivative of 0*y + 7/40*y**7 + 0 + 1/24*y**4 + 0*y**3 - f*y**2 - 7/96*y**6 - 1/15*y**5. Factor z(j).
j*(3*j + 1)*(7*j - 2)**2/4
Let j(f) be the third derivative of f**5/75 - f**4/10 - 21*f**2. Factor j(h).
4*h*(h - 3)/5
Let m = 0 + 1. Let h be 2 - -2 - (1 + m). Let -2*v**2 + 11*v - 11*v + h*v**3 = 0. What is v?
0, 1
Determine c, given that 3 - 18*c - 2 + 24*c**2 - 1 - 10*c**3 + 4 = 0.
2/5, 1
Let x(w) be the third derivative of w**9/423360 - w**8/47040 + w**7/11760 - w**6/5040 - w**5/30 + 6*w**2. Let a(s) be the third derivative of x(s). Factor a(c).
(c - 1)**3/7
Suppose z - 17 = -3*z - 3*l, -2*z + l = -1. Suppose 4 = -n + 4*q, -4 = -2*n + 3*q - z. Factor -x**3 - x + 1/4*x**n + 1/4 + 3/2*x**2.
(x - 1)**4/4
Suppose 4/3*s**4 + 0 - 4/3*s**2 - 2/3*s**5 + 0*s**3 + 2/3*s = 0. Calculate s.
-1, 0, 1
Let s(v) = -v**2 + v + 1. Let p(r) = -2*r - 6. Let x be p(-6). Let c(k) = -5*k**2 + 8*k + 6. Let l(z) = x*s(z) - c(z). Suppose l(a) = 0. Calculate a.
-2, 0
Let i(y) be the first derivative of -1/5*y**5 + 7 + 2*y**2 + y**4 - y - 2*y**3. Factor i(a).
-(a - 1)**4
Let d(x) be the second derivative of -5*x**7/42 + x**6/6 + x**5/2 - 5*x**4/6 - 5*x**3/6 + 5*x**2/2 + 17*x. Suppose d(g) = 0. What is g?
-1, 1
Let m be 3*(-2)/(-21) + 323/119. Let f be 2*((-8)/5 - -2). Solve 2/5*s + f*s**2 - 4/5*s**4 + 0 - 8/5*s**m + 6/5*s**5 = 0 for s.
-1, -1/3, 0, 1
Let g(s) be the third derivative of -s**7/70 - s**6/8 - 9*s**5/20 - 7*s**4/8 - s**3 - 2*s**2. Factor g(a).
-3*(a + 1)**3*(a + 2)
Determine u, given that -4/5 + 0*u + 4/5*u**2 = 0.
-1, 1
Let a be 3 + 3 + -6 + -2. Let k be (1 + a - 1) + 4. Let 2/5*l**3 - 6/5*l**k + 4/5*l + 0 = 0. Calculate l.
0, 1, 2
Suppose -4*f = 5*k + 12, -8*f + 11*f = -3*k - 6. Factor 1 - 1/2*y**f + 1/2*y.
-(y - 2)*(y + 1)/2
Let j = 171 - 171. Let z(y) be the third derivative of 1/120*y**6 + 0 + 1/12*y**5 + j*y + 1/8*y**4 - 3/2*y**3 + 4*y**2. Let z(v) = 0. What is v?
-3, 1
Let z(h) be the first derivative of h**5/15 - h**4/6 - h**3/3 + 2*h**2/3 + 4*h/3 + 11. Factor z(k).
(k - 2)**2*(k + 1)**2/3
Suppose -y = -4*d + 75, -5*y - 2*d - 321 = -4*d. Let n be (7/y)/((-1)/6). Suppose c - 1/3*c**2 - 1/3*c**4 - c**3 + n = 0. Calculate c.
-2, -1, 1
Suppose -z + 15 = 4*z. Let -j - j**2 + 4*j - z*j - j = 0. What is j?
-1, 0
Let o(s) be the first derivative of 2/27*s**3 + 0*s**2 + 1/54*s**4 - 2*s + 1. Let r(g) be the first derivative of o(g). What is y in r(y) = 0?
-2, 0
Let o be (9/(-15))/(-3) + 2/(-10). What is u in 0*u**2 + 0 + 1/2*u**3 - 1/2*u**4 + o*u = 0?
0, 1
Let v(x) be the second derivative of -3*x**5/20 + 7*x**4/4 - 8*x**3 + 18*x**2 - x. Factor v(c).
-3*(c - 3)*(c - 2)**2
Let -40*o**2 + 26/3*o**3 - 2/3*o**4 + 224/3*o - 128/3 = 0. What is o?
1, 4
Let a(q) be the first derivative of -q**7/84 + q**6/30 - q**4/12 + q**3/12 + 5*q - 3. Let b(o) be the first derivative of a(o). Factor b(l).
-l*(l - 1)**3*(l + 1)/2
Let n(o) be the second derivative of 0*o**4 + 0 - 1/27*o**3 + 0*o**2 - o + 8/45*o**5. Solve n(z) = 0.
-1/4, 0, 1/4
Let b be -6*(50/(-15))/10. Find k such that 13/2*k**b + 3*k**3 + 1/2*k**4 + 6*k + 2 = 0.
-2, -1
Suppose -25*m = -28*m + 12. Let t(q) be the third derivative of 0*q**5 + 0*q + 1/120*q**6 - q**2 + 0*q**3 + 0 - 1/24*q**m. Determine f, given that t(f) = 0.
-1, 0, 1
Let n(h) = -3*h**2 + 12*h - 6. Let b(c) = -3*c**2 + 11*c - 5. Let f = 5 - 11. Let i(z) = f*b(z) + 5*n(z). Factor i(k).
3*k*(k - 2)
Let l(m) be the first derivative of -2*m**5/5 - m**4/2 + 2*m**3 + 5*m**2 + 4*m + 9. Factor l(i).
-2*(i - 2)*(i + 1)**3
Let l(m) be the third derivative of -m**7/630 + m**6/180 + m**5/180 - m**4/36 - 11*m**2. Factor l(g).
-g*(g - 2)*(g - 1)*(g + 1)/3
Let x(m) be the second derivative of m**4/24 + m**3/6 + 43*m. Factor x(r).
r*(r + 2)/2
Suppose 6 = h + o + 1, -4*h + 5 = o. Let s = 3 + h. Solve 10/7*b**s + 6/7*b**2 + 0 - 4/7*b = 0 for b.
-1, 0, 2/5
Let o(d) be the third derivative of 0*d**3 + 1/240*d**5 + 0*d - 1/48*d**4 + 0 + d**2. Factor o(f).
f*(f - 2)/4
Let c = 42 - 40. Let u(t) be the first derivative of 0*t**2 - c + 0*t + 1/16*t**4 + 1/6*t**3. What is w in u(w) = 0?
-2, 0
Let g(f) = 5*f**5 - 2*f**4 - 3*f**3 + 4*f**2 + 4*f - 4. Let h(i) = i**5 - i**3 + i**2 + i - 1. Suppose 2*k + 0 = -8. Let v(r) = k*h(r) + g(r). Factor v(d).
d**3*(d - 1)**2
Let a(j) = -13*j**5 + 7*j**4 - 9*j**3 + 9. Let h(p) = 6*p**5 - 3*p**4 + 4*p**3 - 4. Let t(u) = -4*a(u) - 9*h(u). Factor t(r).
-r**4*(2*r + 1)
Factor -21/5*q**2 - 66/5 + 237/5*q.
-3*(q - 11)*(7*q - 2)/5
Determine s, given that -9/2 + 57/2*s + 9/2*s**5 - 57/2*s**4 + 63*s**3 - 63*s**2 = 0.
1/3, 1, 3
Let m(x) be the first derivative of 4/5*x**2 - 4 + 2/5*x**3 - 8/5*x. Factor m(s).
2*(s + 2)*(3*s - 2)/5
Let z(b) be the second derivative of -b**7/28 + b**6/20 + 3*b**5/40 - b**4/8 + 15*b. Factor z(l).
-3*l**2*(l - 1)**2*(l + 1)/2
Let f(o) = -12*o**3 + 15*o**2 + 21*o - 11. Let q = 11 + -6. Let l(d) = -60*d**3 + 75*d**2 + 105*d - 54. Let n(i) = q*l(i) - 24*f(i). Factor n(m).
-3*(m - 2)*(m + 1)*(4*m - 1)
Let t(q) be the first derivative of 14*q**6/9 - 12*q**5/5 - 5*q**4/3 + 4*q**3 - 4*q**2/3 - 22. Solve t(l) = 0 for l.
-1, 0, 2/7, 1
Let u(r) be the second derivative of r**7/3360 + r**6/960 - 7*r**4/12 + 4*r. Let m(x) be the third derivative of u(x). Factor m(s).
3*s*(s + 1)/4
Let y(h) be the second derivative of -h**5/100 + h**3/30 + 17*h. What is w in y(w) = 0?
-1, 0, 1
Let r(n) = 5*n - n - 1 - 3*n. Let v be r(5). Suppose -w - v - w**4 - 5*w**2 + 4 - 3*w**3 + 2*w**2 = 0. Calculate w.
-1, 0
Let p(o) be the third derivative of -o**8/1176 + o**7/1470 + 2*o**6/105 - 2*o**5/105 - 4*o**4/21 + 8*o**3/21 - 41*o**2. Suppose p(b) = 0. Calculate b.
-2, 1/2, 2
Let d be 2 - (-1 - 4/(-4)). Factor -j**3 + 0*j**2 + j**d + j - 2*j**2 + 1.
-(j - 1)*(j + 1)**2
Let q(r) be the second derivative of 2*r**6 + 33*r**5/20 - 6*r**4 - 11*r**3/2 + 6*r**2 + 2*r. Determine j so that q(j) = 0.
-1, -4/5, 1/4, 1
Let g(p) be the second derivative of -2*p**7/945 + p**6/180 - p**5/270 + 3*p**2/2 - 3*p. Let m(k) be the first derivative of g(k). What is f in m(f) = 0?
0, 1/2, 1
Factor 5*k**2 + 3*k**3 + 40*k**2 - 4*k**3 - 4*k**3.
-5*k**2*(k - 9)
Determine k, given that 33*k**2 - 1 + 9*k**3 - 7 + 3 - 21*k**4 - 7 - 9*k**5 = 0.
-2, -1, 2/3, 1
Let 10*y**2 + 689*y - 6 - 694*y + 1 = 0. What is y?
-1/2, 1
Suppose -5*j + 0*s + 6 = 2*s, 5*j + s - 8 = 0. Determine u so that 2*u - 2*u**3 + 0*u - 2*u**j - u**2 - 3*u**3 = 0.
-1, 0, 2/5
Let k be 2*(205/25 - 8). Factor -4/5*n**2 + 0 + k*n**3 + 2/5*n.
2*n*(n - 1)**2/5
Let h(o) be the second derivative of -2*o**7/105 + 4*o**6/75 - 2*o**4/15 + 2*o**3/15 + 3*o. Let h(k) = 0. What is k?
-1, 0, 1
Let h(y) be the first derivative of -y**3/3 - y**2/2 + 5. What is m in h(m) = 0?
-1, 0
Let s(r) = -10*r**2 + 14*r - 10. Let m(n) = -n**2 + n - 1. Let x(l) = -6*m(l) + s(l). Solve x(o) = 0 for o.
1
Let y(n) = -8*n**3 - 9*n**2 + 8*n + 20. Let z(a) = 3*a**3 + 3*a**2 - 3*a - 7. Let j(u) = 4*y(u) + 11*z(u). Determine c, given that j(c) = 0.
-1, 1, 3
Let m be 14/(-6) - -2 - 22/(-33). Let -m*s**2 + 0*s + 1/3 = 0. What is s?
-1, 1
Let r(l) be the first derivative of l**3 - 3*l**2/2 - 7. Factor r(j).
3*j*(j - 1)
Let v be ((-312)/92)/3 + 1. Let c = v - -32/69. Factor 1/3*o**2 - c*o**4 - 1/3*o + 1/3*o**3 + 0.
-o*(o - 1)**2*(o + 1)/3
Determine d so that 3/2*d + 1/2*d**2 + 1 = 0.
-2, -1
Let u(t) be the third derivative of t**6/600 + t**5/100 + t**4/60 - 18*t**2. Factor u(d).
d*(d + 1)*(d + 2)/5
Suppose -4*p - p + 45 = 0. Let n be p/18 - 13/(-6). Suppose 4/3*m**5 - n*m**4 - 5/3*m + 7/3*m**2 + 1/3 + 1/3*m**3 = 0. What is m?
-1, 1/2, 1
Let b(u) be the second derivative of 1/12*u**4 + 0 + 2*u + 0*u**2 + 1/6*u**3. Factor b(y).
y*(y + 1)
Find h, given that 4/7*h + 2/7*h*