- 5*r. Let s(q) = -2*q**4 + 3*q**3 + 2*q**2 + 3*q. Let l(p) = 3*j(p) + 5*s(p). Factor l(o).
-o**2*(o - 1)*(o + 1)
Suppose 2*i - 2*w - 6 = 0, -5*i - 7*w + 3*w = -15. Suppose 11/4*l**2 - 1 + 3*l**3 - 7/4*l**4 - i*l = 0. What is l?
-1, -2/7, 1, 2
Let j be (-15)/(-5) + 6/(-2). Factor 0*l + 1/2*l**4 + j - 1/4*l**5 - 1/4*l**3 + 0*l**2.
-l**3*(l - 1)**2/4
Let q(m) be the second derivative of -m**7/28 + 3*m**5/20 - m**3/4 + 3*m. Factor q(l).
-3*l*(l - 1)**2*(l + 1)**2/2
Suppose 11 = 3*m + y, -2*m - 1 = m + 4*y. Suppose 18 = 3*h + 4*r, 2*r - 1 = 5*h - m. Find b, given that 1/2*b**h + 0*b + 0 = 0.
0
Suppose 5*u - 10 - 10 = 0. Factor 2*w**3 - 3 + 3 + u*w**2.
2*w**2*(w + 2)
Let i(c) be the third derivative of -c**8/672 + c**7/420 + c**6/240 - c**5/120 + 22*c**2. What is n in i(n) = 0?
-1, 0, 1
Let r(q) be the first derivative of 2*q**6/21 - 4*q**5/35 - 5*q**4/7 + 20*q**3/21 + 8*q**2/7 - 16*q/7 - 6. Find f such that r(f) = 0.
-2, -1, 1, 2
Let k(s) be the second derivative of s**7/56 - s**6/10 + 9*s**5/40 - s**4/4 + s**3/8 + s. Factor k(a).
3*a*(a - 1)**4/4
Let g(w) = 5*w**3 + 10*w**2 - 5*w + 2. Let l(v) = -9*v**3 - 19*v**2 + 10*v - 4. Let z(n) = 11*g(n) + 6*l(n). What is q in z(q) = 0?
1, 2
Let f(t) = t**3 + 7*t**2 - 9*t - 11. Let i be f(-8). Let h be (-2 + i)*(-3)/3. Determine q, given that 0*q**3 - 1/2*q**h + q**2 + 0 - q**4 + 1/2*q = 0.
-1, 0, 1
Let v be 6/96 + (1 - 1). Let t(z) be the second derivative of v*z**4 + 3*z + 0 - 1/4*z**2 - 5/24*z**3. Factor t(j).
(j - 2)*(3*j + 1)/4
Let z = 89 + -57. Let b be 72/z - (-2)/(-8). Let 2/7*g**3 - 4/7 + 0*g**b - 6/7*g = 0. Calculate g.
-1, 2
Let p = 56 + -34. Factor -8*l**2 + 14*l**4 + 19*l**5 - 118*l**4 + 30*l**5 + 60*l**3 - p*l**4.
l**2*(l - 2)*(7*l - 2)**2
Let d(u) = 2*u**4 - 2*u**3 - 11*u**2 + 5*u. Let r(n) = 2*n**4 - 2*n**3 - 12*n**2 + 4*n. Let k(a) = -4*d(a) + 3*r(a). Factor k(v).
-2*v*(v - 2)*(v - 1)*(v + 2)
Let a(w) be the third derivative of w**10/10080 + w**9/5040 - 7*w**4/24 - 3*w**2. Let o(k) be the second derivative of a(k). Let o(z) = 0. Calculate z.
-1, 0
Let q(o) = o**3 - 3*o**2 - 4*o - 5. Let k be q(4). Let u be (-24)/15*k/2. Factor 2/3*w**2 + 0*w - 1/3 - 1/3*w**u + 0*w**3.
-(w - 1)**2*(w + 1)**2/3
Let j be ((-1692)/270 + 6)/(4/(-10)). Suppose j*s + 1/3*s**2 + 1/3 = 0. What is s?
-1
Let v(p) = 8*p**3 + 24*p**2 + 39*p + 17. Let q(f) = -26*f**3 - 72*f**2 - 116*f - 50. Let i(w) = -6*q(w) - 20*v(w). Factor i(l).
-4*(l + 1)**2*(l + 10)
Suppose -4*n + 6 = -2*o, -6 = 4*n - n + 2*o. Find x such that -8/5*x**3 - 4/5*x - 2*x**2 + n - 2/5*x**4 = 0.
-2, -1, 0
Let f(p) be the first derivative of -8/13*p**2 - 4 + 2/39*p**3 + 32/13*p. Factor f(u).
2*(u - 4)**2/13
Suppose 0*j - 15 = -5*j. Factor -40*s**j + 8*s + 20*s**3 - 4*s + 16*s**2.
-4*s*(s - 1)*(5*s + 1)
Let i(x) = 3*x**2 - 48*x + 77. Let r(d) = 4*d**2 - 72*d + 116. Let n be (-9)/21 + 32/(-7). Let k(w) = n*r(w) + 8*i(w). Factor k(y).
4*(y - 3)**2
Suppose -5*n + 4 = -3*n. Let a(r) = -r**3 + 11*r**2 - 11*r + 14. Let t be a(10). Determine f so that t*f + f**2 + f**n + 4*f**2 + 2*f**3 + 0*f = 0.
-2, -1, 0
Let j = 279 - 836/3. Factor 0*w + 1/3*w**4 + 0 + 0*w**3 - j*w**2.
w**2*(w - 1)*(w + 1)/3
Let o = -717 - -717. Find q such that 3/4*q**2 - 9/4*q + o = 0.
0, 3
Let i be (-3)/(-4) + 40/32. Suppose 3*h - 2 = 4*t, 5*h = i*h + 2*t + 4. Suppose 1/2*x**h + 2 + 2*x = 0. What is x?
-2
Factor 8*z - 2*z**3 + 4 + 1 - 1 - 2*z.
-2*(z - 2)*(z + 1)**2
Let d(z) be the first derivative of 0*z - z**2 - 1/12*z**3 + 1/30*z**5 + 2 - 1/16*z**4. Let i(h) be the second derivative of d(h). Solve i(a) = 0.
-1/4, 1
Let o be ((-2)/(-48))/(1/10). Let h = o - 1/12. Factor 1/3 + h*b**2 - 2/3*b.
(b - 1)**2/3
Let f = 2 - -3. Suppose -l + 3*y - 6 = 3, y = f*l - 11. Factor -4/3 + 8/3*s - 5/3*s**2 + 1/3*s**l.
(s - 2)**2*(s - 1)/3
Factor 2*m**2 + 78*m**3 - 2*m**4 - 162*m**3 + m**5 + 83*m**3.
m**2*(m - 2)*(m - 1)*(m + 1)
Let o(n) be the third derivative of -n**9/30240 - n**8/5040 + n**7/2520 + n**6/180 - n**5/60 - n**2. Let z(h) be the third derivative of o(h). Factor z(r).
-2*(r - 1)*(r + 1)*(r + 2)
Let t be (5/3)/((-6)/(-18)). Suppose t*v + 4 = 14. Factor 0*b + 2/5*b**v - 2/5*b**4 + 0 + 0*b**3.
-2*b**2*(b - 1)*(b + 1)/5
Let z(i) be the second derivative of -i**4/12 - i**3/2 - 7*i. Factor z(r).
-r*(r + 3)
Let r(c) be the first derivative of -c**6/1440 + c**5/160 - c**4/48 + 2*c**3/3 - 1. Let i(m) be the third derivative of r(m). Factor i(n).
-(n - 2)*(n - 1)/4
Let p(q) = q**3 + 5*q**2 + q + 6. Let k be p(-5). Suppose -d = -3 + k. Factor -d*g + 5*g + 2 - g**2 - 4.
-(g - 2)*(g - 1)
Suppose 32*v - 21*v = 44. Determine y, given that 8/11*y**5 + 0 - 8/11*y**3 + 2/11*y**2 + 0*y - 2/11*y**v = 0.
-1, 0, 1/4, 1
Suppose 0*g**2 + 4/7*g - 4/7*g**3 - 2/7*g**4 + 2/7 = 0. Calculate g.
-1, 1
Let w(j) = j**3 + 6*j**2. Let y(u) = -u - 3. Let z be y(3). Let m be w(z). Let -2/5*s + 4/5*s**2 - 2/5*s**3 + m = 0. Calculate s.
0, 1
Let z be 24 - 19 - ((-266)/8)/(-7). Find f, given that -z*f**2 + 3/4*f**4 - 7/4*f**3 - 1/2 + 7/4*f = 0.
-1, 1/3, 1, 2
Let r(f) be the first derivative of f**6/40 + f**5/20 - f**4/8 - f**3/2 - 3*f**2/2 + 2. Let z(d) be the second derivative of r(d). Let z(a) = 0. Calculate a.
-1, 1
Let t(g) = -g - 11. Let q be t(-11). Let d(o) be the second derivative of -3/40*o**5 + 1/6*o**3 + 0*o**2 + q - 2*o - 1/24*o**4. Factor d(h).
-h*(h + 1)*(3*h - 2)/2
Let z(j) be the second derivative of -j**6/18 - j**5/20 + 7*j**4/36 + j**3/6 - j**2/3 + 40*j. Find d such that z(d) = 0.
-1, 2/5, 1
Let z(t) be the second derivative of 0*t**3 - t + 0 + 0*t**2 + 0*t**5 + 1/120*t**6 - 1/48*t**4. Factor z(k).
k**2*(k - 1)*(k + 1)/4
Factor -503*r - 184*r + 76*r - 3*r**3 - 2187 - 118*r - 81*r**2.
-3*(r + 9)**3
Factor 0*u - 2/3*u**2 + 8/3.
-2*(u - 2)*(u + 2)/3
Let w(s) be the first derivative of s**6/1620 - s**3/3 - 3. Let q(k) be the third derivative of w(k). Solve q(l) = 0.
0
Suppose 0 = 4*s - 5*c + 17, -3*c + 10 = -5. Factor -22 + 0*u**s - 18*u - 10 + 2*u - 2*u**2.
-2*(u + 4)**2
Let k be ((-4)/(-18))/(((-9)/(-3))/27). Let l(z) be the first derivative of -1/3*z**3 - 3/2*z**k + 1/3*z**4 - 2/3*z + 2. Factor l(f).
(f - 2)*(f + 1)*(4*f + 1)/3
Let y = -10 - -9. Let f be (0 + y)*1 - -4. Solve f*t**4 + 6*t - 3*t**2 - t**3 + 13*t**3 + 8*t**2 + 10*t**2 = 0 for t.
-2, -1, 0
Let t(f) be the second derivative of -f**5/10 + 2*f**4/3 - 5*f**3/3 + 2*f**2 - 11*f. Determine o, given that t(o) = 0.
1, 2
Let g be 7 + -5 + (-46)/24. Let f(m) be the third derivative of 0 + g*m**3 - 1/120*m**5 + 0*m - 2*m**2 + 0*m**4. Factor f(n).
-(n - 1)*(n + 1)/2
Let -8*i + 0*i - 15 + 5 - i**2 - 6 = 0. Calculate i.
-4
Factor -1/8*i**4 - 1/4*i**3 + 3/8*i**2 + 1/2*i - 1/2.
-(i - 1)**2*(i + 2)**2/8
Factor -18*q - 5*q**2 + 10*q + q**2.
-4*q*(q + 2)
Let u(j) be the third derivative of 3*j**6/20 + 4*j**5/5 + 13*j**4/12 + 2*j**3/3 + 4*j**2. Factor u(y).
2*(y + 2)*(3*y + 1)**2
Let p = -56 - -56. Let -2/5*w**4 + p - 2/5*w**3 + 2/5*w**2 + 2/5*w = 0. Calculate w.
-1, 0, 1
Let b(t) be the third derivative of -t**8/84 + 2*t**7/21 - t**6/5 - 2*t**5/15 + 7*t**4/6 - 2*t**3 - 10*t**2. Factor b(l).
-4*(l - 3)*(l - 1)**3*(l + 1)
Let b(m) be the first derivative of 0*m + m**6 - 3 + 1/6*m**4 - 4/5*m**5 + 0*m**2 + 0*m**3. Determine v, given that b(v) = 0.
0, 1/3
Let h = 75852/97 + -782. Let m = 208/679 + h. Factor 0 + m*q - 6/7*q**2 - 8/7*q**3.
-2*q*(q + 1)*(4*q - 1)/7
Let y(t) be the second derivative of 0 + t + 1/2*t**4 - 3/2*t**3 - 3*t**2. Suppose y(h) = 0. What is h?
-1/2, 2
Find j such that 0 - 1/9*j**5 + 0*j - 2/9*j**2 - 4/9*j**4 - 5/9*j**3 = 0.
-2, -1, 0
Let z = -7 + 7. Factor -2/3*b - 2/3*b**3 + z + 4/3*b**2.
-2*b*(b - 1)**2/3
Let w(m) = -m**3 - 6*m**2 - 7*m - 8. Suppose -l = 5*x + 10, 10 - 26 = 4*l - 4*x. Let z be w(l). Factor -8*j + 4 + 9/4*j**4 + 6*j**3 - 2*j**z.
(j + 2)**2*(3*j - 2)**2/4
Let q(k) be the second derivative of k**9/3780 - k**7/630 + 5*k**4/12 - 9*k. Let b(o) be the third derivative of q(o). Solve b(h) = 0.
-1, 0, 1
Let a(f) be the first derivative of -3*f**4/8 + f**3 + 3*f**2/4 - 3*f - 2. Let a(m) = 0. What is m?
-1, 1, 2
Let d = -5 - -9. Let q be d/6*(-3 + 6). What is u in -28*u**q + 5*u**3 - 686*u**5 + 196*u**4 + 12*u**2 + 51*u**3 = 0?
-2/7, 0, 2/7
Suppose -5*s + 3*s = 42. Let u(v) = 4*v**2 + v - 3. Let k(y) = y**2 - 1. Let c be (-10)/4*-2 - -1. Let b