66*d**4 + 45*d**3 - 27*d**2 - 15*d - 15. Let c(j) = -15*s(j) - y(j). Factor c(u).
-3*u**2*(u - 2)**2*(4*u - 1)
Let h(i) be the second derivative of i**6/120 + 3*i**2/2 - i. Let w(z) be the first derivative of h(z). Factor w(r).
r**3
Factor 0*h - 8/3*h**4 + 0*h**2 - 8/3*h**3 + 0 - 2/3*h**5.
-2*h**3*(h + 2)**2/3
Let m(b) be the second derivative of 1/30*b**6 + 5/12*b**4 - 5*b + 1/3*b**2 + 1/2*b**3 + 11/60*b**5 + 0. Determine n, given that m(n) = 0.
-1, -2/3
Suppose 0 = -f - 0*f. Let b be 2 + f + 3/3. Solve 0 + 2/3*d**2 + 2/3*d**5 - 2/3*d**4 + 0*d - 2/3*d**b = 0 for d.
-1, 0, 1
Let m(i) be the third derivative of -2*i**7/735 + i**6/140 - i**4/84 - 14*i**2. Let m(p) = 0. What is p?
-1/2, 0, 1
Let b(x) be the third derivative of -1/1512*x**8 + 0 + 0*x**7 + 0*x**5 + 1/270*x**6 - 1/108*x**4 + 0*x**3 - 4*x**2 + 0*x. Factor b(z).
-2*z*(z - 1)**2*(z + 1)**2/9
Let c(a) = a**3 + 10*a**2 + 11*a + 18. Let m be c(-9). What is q in m - 2/7*q - 2/7*q**2 = 0?
-1, 0
Let j(b) be the second derivative of b**5/5 - b**4/3 - 2*b**3/3 + 2*b**2 - 11*b. Suppose j(q) = 0. What is q?
-1, 1
Let q(d) be the first derivative of d**5/5 - 5*d**4/4 + 8*d**3/3 - 2*d**2 + 10. Suppose q(k) = 0. Calculate k.
0, 1, 2
Let r = -5501/5 + 1101. Factor -6/5*f**2 - r*f - 2/5*f**3 + 0.
-2*f*(f + 1)*(f + 2)/5
Let m(o) = -29*o**2 + 6*o + 23. Let p(r) = -44*r**2 + 9*r + 35. Let s(h) = 8*m(h) - 5*p(h). Determine y, given that s(y) = 0.
-3/4, 1
Let m be (4 + -72 + 4)*-1. Let v be (-1 - -3)*8/m. Factor -1/2 - v*f**2 + 3/4*f.
-(f - 2)*(f - 1)/4
Let h(y) be the first derivative of -2*y**3/39 - 2*y**2/13 - 9. Suppose h(k) = 0. Calculate k.
-2, 0
Let i(v) = v**3 - v**2 + 4*v - 2. Let z(x) = 2*x**3 - 2*x**2 + 5*x - 3. Let s(n) = 3*i(n) - 2*z(n). Determine b, given that s(b) = 0.
-1, 0, 2
Factor o**4 + 4*o**5 + o**4 - 8*o**4 + 2*o**4.
4*o**4*(o - 1)
Suppose 4*a - a - 120 = 0. Let r be (-4)/(-14) - a/(-105). Factor -2/3*o + 2/3*o**3 - 2/3*o**2 + r.
2*(o - 1)**2*(o + 1)/3
Let t be ((-3)/(-9))/((-10)/(-6)). Solve 9/5 - 6/5*g + t*g**2 = 0 for g.
3
Let k be (-196)/(-315) + (-2)/5. Factor 4/9 + k*y - 4/9*y**2 - 2/9*y**3.
-2*(y - 1)*(y + 1)*(y + 2)/9
Let w(k) = -5*k**4 - 21*k**3 - 21*k**2 - 5*k. Let l(b) = -55*b**4 - 230*b**3 - 230*b**2 - 55*b. Let s(d) = -6*l(d) + 65*w(d). Determine z so that s(z) = 0.
-1, 0
Let s(t) be the first derivative of 2*t**5/35 - 3*t**4/14 + 4*t**3/21 + 8. Factor s(x).
2*x**2*(x - 2)*(x - 1)/7
Let a(t) = -3*t**3 - 13*t**2 + 7*t + 13. Let n(b) = -14*b**3 - 64*b**2 + 36*b + 64. Let f(l) = 11*a(l) - 2*n(l). Let f(w) = 0. What is w?
-3, -1, 1
Let i(n) be the first derivative of 0*n - 1 + 0*n**4 - 1/240*n**5 + 1/2*n**2 + 0*n**3 + 1/480*n**6. Let q(l) be the second derivative of i(l). Factor q(r).
r**2*(r - 1)/4
Let t be ((-2)/(-10))/(15/175). What is x in -4/3 - 23/3*x**3 + 5/3*x**4 + 16/3*x - 1/3*x**2 + t*x**5 = 0?
-2, -1, 2/7, 1
Factor -12*v + 6*v**3 - 203 + 215 - 9*v**2 - 3*v**4 + 6*v**3.
-3*(v - 2)**2*(v - 1)*(v + 1)
Suppose o - 2*h = -4, 2*o + 4 = 5*h - 6. Suppose -l + 22 + 11 = o. Factor l*z**2 + 56*z - 5 + 4 + 9 + 65*z**2.
2*(7*z + 2)**2
Suppose -3*z - 69 = -3*g, -z - 107 = -0*g - 4*g. Solve -j**4 - 18*j**2 + 3*j + 0*j**2 + g*j**3 - j**3 - 11*j**4 = 0 for j.
0, 1/4, 1
Let m(r) be the first derivative of 8/15*r**3 + 6/25*r**5 + 0*r - 3/5*r**4 - 1/30*r**6 + 0*r**2 + 3. Factor m(i).
-i**2*(i - 2)**3/5
Let g(t) be the first derivative of 21*t**4/4 + 9*t**3 + 3*t**2 + 6. Factor g(f).
3*f*(f + 1)*(7*f + 2)
Let s(n) be the third derivative of n**7/315 + n**6/60 + n**5/30 + n**4/36 + 9*n**2. Factor s(t).
2*t*(t + 1)**3/3
Let z(h) = h**2 + h - 1. Let x(p) = -71*p**2 - 5*p + 10. Let u(r) = x(r) + 6*z(r). Let k(n) = 846*n**2 - 12*n - 51. Let l(q) = -2*k(q) - 27*u(q). Factor l(c).
3*(3*c - 1)*(7*c + 2)
Let f be ((-9)/27)/((-2)/3). Factor -1/2*x**2 + 0 + 0*x - f*x**3.
-x**2*(x + 1)/2
Suppose -5*w + 42 = -2*w. Let d = w + -14. Suppose d + 0*o + 0*o**2 - 1/3*o**4 + 0*o**3 = 0. Calculate o.
0
Let o be ((-2)/(-6))/(-1) - (-3)/9. Let d(v) be the third derivative of 0*v - 1/48*v**4 - 1/120*v**5 + o*v**3 - 2*v**2 + 0. Factor d(j).
-j*(j + 1)/2
Let n(v) be the first derivative of -v**5/90 + v**4/36 + 2*v**3/9 - v**2 - 1. Let j(o) be the second derivative of n(o). Factor j(g).
-2*(g - 2)*(g + 1)/3
Let m(s) be the third derivative of -s**7/455 - s**6/780 + s**5/195 - 2*s**2. Factor m(i).
-2*i**2*(i + 1)*(3*i - 2)/13
Let b(i) be the second derivative of i**2 + 0*i**3 - 1/6*i**4 + 0 - 4*i. Solve b(j) = 0.
-1, 1
Let t(j) be the second derivative of 2/3*j**4 + 0 - 1/2*j**2 + 3*j + 1/12*j**7 + 17/20*j**5 - 1/12*j**3 + 13/30*j**6. Factor t(m).
(m + 1)**4*(7*m - 2)/2
Let p(s) be the third derivative of s**5/20 - s**4/6 - 2*s**3/3 - 3*s**2. Let k(z) = 8*z**2 - 11*z - 11. Let m(j) = -4*k(j) + 11*p(j). Factor m(a).
a**2
Let s(t) = t + 8. Let y be s(-6). Let r be (32/(-40))/(2/(-5)). Factor -23*v + 0*v**2 + 19*v - r*v**y.
-2*v*(v + 2)
Let -2*t**2 + 11*t**4 + 0*t**2 - 6*t**3 - 17*t**4 - 2*t**5 = 0. What is t?
-1, 0
Let x(o) = 4*o**3 + 2*o**2 - 2*o + 2. Let f(g) = g**2 + g + 1. Let p(m) = -2*f(m) + x(m). Determine n, given that p(n) = 0.
-1, 0, 1
Let z(i) be the first derivative of -1/4*i**4 + 1/2*i**2 + 1/5*i**5 - 1/3*i**3 + 2 + 0*i. Determine g so that z(g) = 0.
-1, 0, 1
Let m(f) be the third derivative of f**5/150 + f**4/30 - 3*f**2. What is w in m(w) = 0?
-2, 0
Let s(n) = -6 + 3*n**2 + 4*n + 2*n + 1. Let x(q) = -4*q**2 - 7*q + 6. Suppose -4*a + 0*a = -5*g + 20, a + 5 = g. Let p(m) = a*s(m) - 4*x(m). Factor p(r).
(r - 1)**2
Factor 54*f**2 + 4*f + 1 - 3*f - 110*f**2 - f**3 + 55*f**2.
-(f - 1)*(f + 1)**2
Let m(o) be the second derivative of -o**5/80 + o**4/48 + o**3/4 - o + 25. Factor m(v).
-v*(v - 3)*(v + 2)/4
Let h = 5 - 2. Factor -y - 2*y**5 - y**h - y + 5*y**3.
-2*y*(y - 1)**2*(y + 1)**2
Let i(b) be the first derivative of -b**5/5 + 3*b**4/4 - b**3 + b**2/2 - 4*b + 3. Let j(h) be the first derivative of i(h). Let j(l) = 0. What is l?
1/4, 1
Factor 3*w + 507/4*w**4 + 0 + 663/4*w**3 + 42*w**2.
3*w*(w + 1)*(13*w + 2)**2/4
Solve 4/15*l + 2/15 + 2/15*l**2 = 0 for l.
-1
Let f be (70/(-360))/((-1)/(-3)). Let d = 21/4 + f. Factor 38/3*b**3 + 2/3*b + d*b**4 + 10*b**2 - 4/3.
2*(b + 1)**3*(7*b - 2)/3
Suppose -4*n - l + 0 = -1, 5*l + 13 = -2*n. Suppose n + 7 = 4*z. Solve 0 + 6*o**2 + 5*o - 3*o**5 - z - 2*o**3 - 7*o**4 + 3 = 0 for o.
-1, -1/3, 1
Let v(p) = 10*p + 1. Let j = -3 + 4. Let x be v(j). Factor -28*l**2 + 32*l**4 + 14*l**5 - 9*l + 8*l**3 - x*l - 4 - 2*l.
2*(l - 1)*(l + 1)**3*(7*l + 2)
Let d be (-2)/(-4)*4 - -6. Suppose p = -p + d. Let -70/3*n**3 + 20/3*n - 49/3*n**p + n**2 - 4/3 = 0. What is n?
-1, 2/7
Let b be 9 - 9/54*46. Factor -4/3*v**2 + 2/3 + 2/3*v - b*v**3 + 2/3*v**5 + 2/3*v**4.
2*(v - 1)**2*(v + 1)**3/3
Let f(u) be the third derivative of -u**8/336 - u**7/70 - u**6/40 - u**5/60 + 5*u**2. Find g such that f(g) = 0.
-1, 0
Let 4/3*k**4 + 0*k + 0 - 4/3*k**2 - 4/3*k**5 + 4/3*k**3 = 0. What is k?
-1, 0, 1
Let 1/2*f**4 + 0*f + 0 + 0*f**3 - 1/2*f**2 = 0. What is f?
-1, 0, 1
Let m be (2/(-15))/((-104)/100 + 1). Suppose -4/3 - m*z + 8*z**2 = 0. Calculate z.
-1/4, 2/3
Let b(j) be the first derivative of 0*j**2 + 0*j**4 - 7 + 0*j + 0*j**3 + 1/20*j**5. Determine r, given that b(r) = 0.
0
Let t(g) = -4*g**3 - 41*g**2 - 11*g + 209. Let c(h) = -2*h**3 - 20*h**2 - 6*h + 104. Let x(v) = -9*c(v) + 4*t(v). Factor x(f).
2*(f - 2)*(f + 5)**2
Let h(g) be the second derivative of 9/2*g**2 - 9*g - 1/2*g**3 + 0 + 3/20*g**5 - 3/4*g**4. Factor h(t).
3*(t - 3)*(t - 1)*(t + 1)
Let l(u) be the first derivative of u**4/2 - 2*u**3/3 - u**2 + 2*u - 2. Factor l(w).
2*(w - 1)**2*(w + 1)
Let a(o) be the first derivative of o**7/42 - o**5/5 - o**4/6 + o**3/2 + o**2 - o - 3. Let k(q) be the first derivative of a(q). Factor k(x).
(x - 2)*(x - 1)*(x + 1)**3
Let y be ((-10)/125)/(1/(-20)). Determine i so that -y*i + 0 - 2/5*i**3 + 8/5*i**2 = 0.
0, 2
Let y = -9 + 11. Factor -a - 3*a**2 - a + 0*a**3 + 2*a**3 + 4 - a**y.
2*(a - 2)*(a - 1)*(a + 1)
Let g(z) = -11*z**3 - 24*z**2 - 4*z + 19. Let k(f) = -16*f**3 - 36*f**2 - 5*f + 29. Let b(n) = -7*g(n) + 5*k(n). What is w in b(w) = 0?
-4, -1, 1
Let x(n) = 10*n**4 + 10*n**3 + 20*n**2 + 8*n + 6. Let f(v) = -11*v**4 - 9*v**3 - 20*v**2 - 8*v - 7. Let d(c) = -6*f(c) - 7*x(c). Factor d(z).
-4*z*(z + 1)**2*