ive of a**7/280 + a**6/80 - 7*a**5/80 - 5*a**4/8 - 3*a**3/2 - 42*a**2. Factor t(s).
3*(s - 3)*(s + 1)*(s + 2)**2/4
Let q be 66*1/((-9)/(-3)). Suppose 4*o**3 - q*o**2 + 26*o**2 - 2*o**3 = 0. What is o?
-2, 0
Let d(w) be the first derivative of -2*w**5/15 - w**4/9 + 2*w**3/9 + 2*w**2/9 - 3. Let d(h) = 0. What is h?
-1, -2/3, 0, 1
Let b(m) = 33*m**2 - 49*m + 8. Let s(j) be the first derivative of 17*j**3/3 - 12*j**2 + 4*j + 5. Let x(u) = -4*b(u) + 9*s(u). Find r such that x(r) = 0.
2/7, 2/3
Suppose 4 + 2 + 3*n**2 - 7*n - 2*n = 0. What is n?
1, 2
Let n(p) be the third derivative of p**8/20160 - p**7/2520 + p**5/60 - p**2. Let z(a) be the third derivative of n(a). Solve z(q) = 0.
0, 2
Let n(a) = 8*a**2 + 20*a + 12. Suppose -3*o - 2*o = -4*i - 16, 3*i + 5*o + 12 = 0. Let z(g) = 9*g**2 + 21*g + 12. Let t(b) = i*z(b) + 5*n(b). Factor t(q).
4*(q + 1)*(q + 3)
Let c(w) = 2*w**2 + 2*w + 3. Let z(r) = r**2 + 1. Let v = -4 + 3. Let x be ((-12)/(-28))/((-5)/(-35)). Let u(s) = v*c(s) + x*z(s). Factor u(l).
l*(l - 2)
Let y(o) be the second derivative of o**7/14 - o**6/5 + 3*o**5/20 + 31*o. Let y(q) = 0. Calculate q.
0, 1
Let h(m) = -30*m**4 - 44*m**3 + 14*m + 6. Let y(d) = 30*d**4 + 43*d**3 - 13*d - 5. Let q(b) = -5*h(b) - 6*y(b). Solve q(c) = 0 for c.
-1, -2/3, 0, 2/5
Let d be (8 - 7)*-7 - -9. Suppose 2/9 + 2/9*q**d - 4/9*q = 0. Calculate q.
1
Let y = -93 - -1770/19. Let v = y + 10/57. Factor 0*z - v + 1/3*z**2.
(z - 1)*(z + 1)/3
Let y(n) = 3*n - 14. Let o be y(6). What is j in -j**5 - 4/3*j**o + 0*j**2 + 0 - 1/3*j**3 + 0*j = 0?
-1, -1/3, 0
Let w(u) be the first derivative of -u**6/15 + 3*u**5/10 - u**4/2 + u**3/3 + 7*u - 6. Let l(t) be the first derivative of w(t). Factor l(i).
-2*i*(i - 1)**3
Solve 13*o**4 - 2*o - 35*o**3 - 41*o**4 + 36*o**5 + 2*o - 2 + 30*o**2 - o = 0 for o.
-1, -2/9, 1/2, 1
Suppose 27 = 4*g + 19. What is d in -1/2 + 1/4*d**3 - 1/4*d + 1/2*d**g = 0?
-2, -1, 1
Let h(m) be the second derivative of 5*m**7/42 - m**6/3 + 5*m**4/6 - 5*m**3/6 - 3*m. Determine g so that h(g) = 0.
-1, 0, 1
Let c(l) be the first derivative of -l**6/3 + 4*l**5/5 + 3*l**4/2 - 8*l**3/3 - 4*l**2 + 4. Find b, given that c(b) = 0.
-1, 0, 2
Let l(p) be the third derivative of 1/12*p**3 + 0 + 0*p - 1/80*p**5 + 2*p**2 - 1/96*p**4. Factor l(a).
-(a + 1)*(3*a - 2)/4
Suppose 0 = 4*q, -2*l - 2*q + 13 = 1. Let u be -2 - (-22)/l - 1. Factor u - 2*k - 2/3*k**3 + 2*k**2.
-2*(k - 1)**3/3
Suppose -5*s - 2*j = -8, 3*j - 2 = 3*s + 10. Factor 1/2*d + s + 1/4*d**2.
d*(d + 2)/4
Let w(j) = j**3 - 14*j**2 + j - 12. Let c be w(14). Find d such that 3 + 1 + 2*d**c - 2*d**3 - 4 = 0.
0, 1
Let h(t) be the first derivative of t**3/24 - t**2/16 + 10. Factor h(n).
n*(n - 1)/8
Let m(a) be the third derivative of -a**6/120 + a**5/60 + a**4/24 - a**3/6 + 5*a**2. Factor m(w).
-(w - 1)**2*(w + 1)
Let 0 - 12/5*o**3 - 12/5*o - 2/5*o**4 - 22/5*o**2 = 0. Calculate o.
-3, -2, -1, 0
Let p = 839/36 - 93/4. Let v(u) be the second derivative of 2*u + 0 + 0*u**2 + 0*u**3 + 1/45*u**6 - 1/15*u**5 + p*u**4. Suppose v(a) = 0. What is a?
0, 1
Suppose 1 = 4*j - 7. Let n be (-54)/(-360) + (-3)/(-12). Factor 4/5 - n*h**j - 2/5*h.
-2*(h - 1)*(h + 2)/5
Let z(y) be the third derivative of y**6/12 + 5*y**5/12 + 5*y**4/6 + 5*y**3/6 - y**2. Factor z(u).
5*(u + 1)**2*(2*u + 1)
Let g(m) be the second derivative of m**4/78 + m**3/13 + 18*m. Find w such that g(w) = 0.
-3, 0
Let z(n) = -n**3 + 4*n**2. Let j be z(5). Let w be 0 + (j/(-20) - 1). Solve 1/4*b**2 - 1/4 + w*b**3 - 1/4*b = 0.
-1, 1
Let d = -224 + 897/4. Suppose -d*b**2 - 1/4*b + 0 = 0. Calculate b.
-1, 0
Suppose 5*p = -z - 20, 5*z + 19 = 2*p - 0. Let u be (2/p)/(10/(-30)). Factor -m + 0 + 1/2*m**u.
m*(m - 2)/2
Let p(q) be the third derivative of -q**8/1344 + q**7/840 + q**6/480 - q**5/240 + 3*q**2. Determine d, given that p(d) = 0.
-1, 0, 1
Let m(p) be the third derivative of p**6/360 - 7*p**5/540 + p**4/108 + 5*p**2. Let m(v) = 0. Calculate v.
0, 1/3, 2
Let g(k) be the second derivative of -1/9*k**2 + 1/90*k**5 + 0 + 3*k - 1/27*k**3 + 1/54*k**4. Factor g(w).
2*(w - 1)*(w + 1)**2/9
Let s = -170 + 172. Let -8/3*a + 8/3*a**s + 0 - 2/3*a**3 = 0. Calculate a.
0, 2
Let k(b) = 2*b**2 - 4*b + 2. Let r be k(2). Suppose r*i = h + 6 - 2, 4*h + i = 11. Solve 2 - 3*o**2 - 1 + h*o**2 = 0.
-1, 1
Let z(g) be the first derivative of g**5/5 - g**4 + 2*g**3 - 2*g**2 + g - 16. Let z(k) = 0. Calculate k.
1
Let k = -6 - -8. Factor 0*b**2 + 11*b**5 + 23*b**2 + 45*b**3 + 6*b - 2*b**5 + 33*b**4 + 4*b**k.
3*b*(b + 1)**3*(3*b + 2)
Suppose 0*k - k = -5. Let 3*x**3 + x**k + 10*x + x**2 - 10*x + 3*x**4 = 0. Calculate x.
-1, 0
Let y(z) = 2*z + 6 - 6*z**2 - z**2 - 2*z**2 + z**2. Let q(r) = -9*r**2 + 3*r + 6. Let i(h) = 5*q(h) - 6*y(h). Factor i(j).
3*(j - 1)*(j + 2)
Let d(x) be the second derivative of x**5/30 + x**4/12 + x**2 + x. Let b(s) be the first derivative of d(s). Factor b(c).
2*c*(c + 1)
Factor 2/5*c + 0 + 1/5*c**2.
c*(c + 2)/5
Let d(w) be the second derivative of 0*w**5 + 0 + 1/15*w**6 - 6*w + 0*w**2 + 0*w**4 + 0*w**3. Factor d(o).
2*o**4
Let r = -305 - -309. Factor 6 + r*y + 2/3*y**2.
2*(y + 3)**2/3
Let z be 2 + 5/(15/6). Suppose -z*g - 4 = 8. Let k(j) = -23*j**2 - j + 14. Let f(q) = 8*q**2 - 5. Let v(r) = g*k(r) - 8*f(r). Suppose v(y) = 0. What is y?
-1, 2/5
Let v be 27/84 + (-27)/(-63). Suppose f - 12 = -3*f. Let 0 + 0*z - 3/2*z**2 + v*z**f = 0. What is z?
0, 2
Let z(n) be the third derivative of n**5/20 + n**4/4 + n**3/2 + 7*n**2. Solve z(j) = 0.
-1
Let p(b) be the first derivative of 0*b**2 + 0*b + 1/18*b**6 - 1/12*b**4 + 0*b**5 + 0*b**3 - 1. Factor p(v).
v**3*(v - 1)*(v + 1)/3
Let c(m) = -2*m**5 - 11*m**4 - 27*m**3 - 7*m**2 - 11. Let v(j) = -9*j**3 + 3*j**4 + 4 - j**5 - 8 - 7*j**4 - 2*j**2. Let o(d) = 4*c(d) - 11*v(d). Factor o(g).
3*g**2*(g - 2)*(g + 1)**2
Suppose -g + 1 = -1. Let 1/3*a + 4/3*a**3 + 4/3*a**g + 0 = 0. Calculate a.
-1/2, 0
Suppose 3*o + 3 = -6. Let q be ((-1)/(-4))/(o/(-18)). Determine i so that i - 1/6*i**2 - q = 0.
3
Factor 2/3*r**2 - 2/3*r - 4/3.
2*(r - 2)*(r + 1)/3
Let r(p) be the first derivative of -2/9*p**3 + 8 + 1/6*p**4 - 1/3*p**2 + 2/15*p**5 + 0*p. Factor r(i).
2*i*(i - 1)*(i + 1)**2/3
Let t(p) be the second derivative of 7*p**7/8 + 14*p**6/15 - 51*p**5/80 - p**4/4 + p**3/6 + 19*p. Suppose t(h) = 0. What is h?
-1, -1/3, 0, 2/7
Let h(l) be the second derivative of l**5/20 - l**3/6 + 4*l. Find m such that h(m) = 0.
-1, 0, 1
Let h(w) be the second derivative of -w**7/14 - w**6/10 - w. Factor h(c).
-3*c**4*(c + 1)
Factor 50*s**3 - 10*s**2 - 48*s**3 + 10*s - 2*s**2.
2*s*(s - 5)*(s - 1)
Let t be (-10)/45 - -1*8/36. Factor 0*g + t + 2/3*g**2 - 8/3*g**3.
-2*g**2*(4*g - 1)/3
Let v(a) = -a**2 + 25*a - 14. Let s be v(13). Let i = s + -992/7. Factor -2/7*r + 0 - i*r**2.
-2*r*(r + 1)/7
Let s(l) = -2*l**3 - 7*l**2 + l + 4. Let k(g) = -g**3 + 1. Let c(d) = -3*k(d) + s(d). Let m be c(7). Determine o so that -2 + m*o - 8*o**2 + o**2 + o**2 = 0.
1/3, 1
Let n(y) be the second derivative of -y**8/3360 - y**7/840 - y**6/720 + y**3/2 - 2*y. Let b(f) be the second derivative of n(f). Factor b(h).
-h**2*(h + 1)**2/2
Let s(d) = d**2 + d + 7. Let l be s(0). Let y be (1/l)/(3/6). What is v in 0 + 2/7*v**4 - y*v**2 + 0*v - 2/7*v**3 + 2/7*v**5 = 0?
-1, 0, 1
Let c = -33/4 - -103/12. Let 0 - 1/3*o**2 - c*o**3 + 2/3*o = 0. Calculate o.
-2, 0, 1
Let q(w) be the first derivative of w**9/1512 - w**8/840 - w**7/420 + w**6/180 - w**3 + 2. Let x(v) be the third derivative of q(v). Factor x(o).
2*o**2*(o - 1)**2*(o + 1)
Let x(b) = -6*b**2 - 30*b - 27. Let t(z) = 5*z**2 + 30*z + 27. Let c(m) = 3*t(m) + 2*x(m). Factor c(y).
3*(y + 1)*(y + 9)
Suppose 0 = 3*g - 11 + 5. Let b(s) be the second derivative of -11/21*s**3 + 0 + 2/7*s**g + 8/21*s**4 - 1/10*s**5 + 2*s. Let b(c) = 0. Calculate c.
2/7, 1
Let b be 0/(((-12)/3)/2). Let k(i) be the second derivative of 3*i + 1/3*i**3 + b + 1/6*i**4 - 1/10*i**5 + 0*i**2 - 1/15*i**6. Let k(q) = 0. What is q?
-1, 0, 1
Let -19/3*b - 361/6 - 1/6*b**2 = 0. Calculate b.
-19
Let f(n) be the third derivative of n**5/360 - 5*n**4/72 + 25*n**3/36 - 18*n**2. Determine g so that f(g) = 0.
5
Let f(a) = a**2 - 7*a + 1. Let x(r) = -8*r**2 + 50*r - 8. Let q(o) = 44*f(o) + 6*x(o). Factor q(n).
-4*(n + 1)**2
Let t(f) = 2*f**2 + 39*f + 247. Let d(w) = w**2 + 20*w + 123. Let k(s) 