**3 + 0*n - 2 + 1/4*n**4. Solve m(l) = 0.
-1, 0
Let 17*l**2 - 19*l**2 + 3*l - 3*l = 0. What is l?
0
Determine u so that -2*u + 9/2*u**2 + 1/2*u**4 - 3*u**3 + 0 = 0.
0, 1, 4
Let s(v) be the second derivative of v**5/100 + 7*v**4/60 + 7*v**3/15 + 4*v**2/5 - 40*v. Determine o so that s(o) = 0.
-4, -2, -1
Let d(p) = -25*p**3 + 60*p**2 - 44*p + 14. Let k(u) = u**3 - 5*u**2 - 3*u. Let r be k(5). Let w(b) = b**2 - b + 1. Let c(g) = r*w(g) + 3*d(g). Factor c(q).
-3*(q - 1)*(5*q - 3)**2
Let z = -19 - -33. Factor 20*j**2 + z*j**3 + 21*j**3 - 14*j**3 - 3*j - 2.
(j + 1)*(3*j - 1)*(7*j + 2)
Let 9*o**2 - 2*o**3 + o**5 + o + 2 - 2*o**4 - o**2 - o - 7*o = 0. Calculate o.
-2, 1
Find j, given that -25/6*j + 5/6*j**2 + 5/6*j**3 + 5/2 = 0.
-3, 1
Let o(r) be the second derivative of 0*r**4 + 0*r**2 - 1/60*r**6 + 1/40*r**5 + 0*r**3 + 2*r + 0. What is k in o(k) = 0?
0, 1
Let k(h) be the second derivative of 0*h**4 + 0 + 0*h**3 + 1/180*h**6 + 0*h**2 - 5*h + 0*h**5. Factor k(i).
i**4/6
Let h(i) be the second derivative of i**6/45 - i**5/45 - i**4/6 + 4*i**2/9 - 19*i. Let h(o) = 0. Calculate o.
-1, 2/3, 2
Let y be -2 - 2 - (-120)/25. Factor -1/5*w**2 + y*w - 4/5.
-(w - 2)**2/5
Let o be (-18)/33 - 23/(-22). Factor -o*b**3 + 0 + 0*b - 1/2*b**2.
-b**2*(b + 1)/2
Let m(k) = -2*k**4 - 24*k**3 + 58*k**2 - 42*k + 16. Let s(b) = 3*b**4 + 48*b**3 - 115*b**2 + 85*b - 32. Let g(d) = -11*m(d) - 6*s(d). Factor g(w).
4*(w - 2)**2*(w - 1)**2
Let t(h) = 5*h**2 + 7. Let o(g) = 14*g**2 + 20. Let k(p) = -6*o(p) + 17*t(p). Solve k(a) = 0 for a.
-1, 1
Let l(y) be the first derivative of y**6/3 - y**4 + y**2 - 10. Solve l(d) = 0.
-1, 0, 1
Let q(f) be the second derivative of -f**7/14 + 3*f**5/20 - 7*f. Factor q(h).
-3*h**3*(h - 1)*(h + 1)
Let v be (20/48)/((-10)/(-40)). Factor -v*p + 1 + 1/3*p**3 + 1/3*p**2.
(p - 1)**2*(p + 3)/3
Determine q so that -1/5 + 2/5*q - 1/5*q**2 = 0.
1
Let f = 198 - 988/5. Let a be (-3)/5*-1 + 1. Factor a*n - 8/5 - f*n**2.
-2*(n - 2)**2/5
Let w = -3 + 3. Factor 2*r - 3 + 2 - r**2 + w.
-(r - 1)**2
Let h(l) = l**3 + 5*l**2 - 6*l + 3. Let w(o) = 3*o + 3. Let x be w(-3). Let c be h(x). Factor -4*p**2 - 6*p**3 - 2 + 4*p**c - 5*p + p**3.
-(p + 1)**2*(p + 2)
Let c(k) be the first derivative of k**6/9 - 2*k**4/3 - 4*k**3/9 + k**2 + 4*k/3 + 40. Factor c(d).
2*(d - 2)*(d - 1)*(d + 1)**3/3
Let b(t) = -3*t**2 + 3*t + 6. Let y(f) = -f**3 - 6*f**2 + 6*f + 11. Let z(p) = -5*b(p) + 3*y(p). Factor z(q).
-3*(q - 1)*(q + 1)**2
Let y(h) be the second derivative of h**5/10 - h**4 + 4*h**3 - 8*h**2 - 30*h. Factor y(k).
2*(k - 2)**3
Let h = 956572/1225 + -19508/25. Let p = 12/49 + h. Factor -3/5*x - 1/5 + p*x**2.
(x - 1)*(4*x + 1)/5
Let c(d) be the second derivative of d**6/50 + 3*d**5/100 - 3*d**4/20 - d**3/2 - 3*d**2/5 - 26*d. What is q in c(q) = 0?
-1, 2
Let k(g) be the first derivative of -g**4/8 + 5*g**3/6 - 7*g**2/4 + 3*g/2 + 13. Factor k(y).
-(y - 3)*(y - 1)**2/2
Let t(i) be the second derivative of 2*i**7/21 - 16*i**6/15 + 4*i**5 - 16*i**4/3 + 31*i. Find o, given that t(o) = 0.
0, 2, 4
Let n(p) be the first derivative of -1 - 1/3*p**3 + 0*p + 0*p**2. Factor n(s).
-s**2
Let d be ((-8)/12)/(2/(-12)). Let n(s) be the first derivative of -10/9*s**3 - 7/6*s**d - 1/3*s**2 - 2 + 0*s - 2/5*s**5. Factor n(v).
-2*v*(v + 1)**2*(3*v + 1)/3
Let x(u) be the first derivative of -6 - 1/9*u**3 - 1/3*u**2 + u. Determine j, given that x(j) = 0.
-3, 1
Let u(p) be the first derivative of p**6/39 - 2*p**5/65 - 10. Find z such that u(z) = 0.
0, 1
Let v(s) = -s**3 + 7*s**2 - 5*s + 2. Let h be v(6). Factor 8*k**2 + 5*k + 2*k**4 + 5 - 13*k + 4*k**2 - 3 - h*k**3.
2*(k - 1)**4
Let w(r) be the first derivative of -r**4/16 + r**3/6 + 3*r**2/8 - 40. Determine p, given that w(p) = 0.
-1, 0, 3
Let k(h) be the first derivative of -h**5/4 - h**4 - 3*h**3/2 - h**2 - 2*h - 2. Let q(u) be the first derivative of k(u). Determine y, given that q(y) = 0.
-1, -2/5
Let d(s) = -s**2 + s. Let y(w) = w**4 - 2*w**3 + w. Let o = 7 - 10. Let t(v) = o*d(v) + 3*y(v). Suppose t(x) = 0. Calculate x.
0, 1
Factor 4/9*k - 2/9*k**2 + 0.
-2*k*(k - 2)/9
Let q(y) be the first derivative of 2*y**5/5 - 2*y**3 - 2*y**2 - 23. Solve q(v) = 0.
-1, 0, 2
Suppose 0 = -5*n + 11 + 4. Let -3*v - 3*v**2 + v**n + 3 + 2*v**3 - 4*v**3 - 4 = 0. Calculate v.
-1
Let u = -6 - -3. Let w be u/5*(-6 - -1). What is n in 4*n + 2 + n**w + 6*n**2 - 2*n**3 - n**3 - 10*n = 0?
1
Suppose -8*r - 12 = -14*r. Factor 0 + 0*d + 14/3*d**3 - 4/3*d**r.
2*d**2*(7*d - 2)/3
Suppose 3*g = -3, 2*g - 2 + 4 = 3*a. Factor a - 1/2*t**2 + 1/2*t.
-t*(t - 1)/2
Let n(o) be the first derivative of -o**8/1120 + o**6/120 - o**4/16 + 5*o**3/3 + 3. Let l(b) be the third derivative of n(b). Find p such that l(p) = 0.
-1, 1
Let n be (-224)/24*10/(-8). Let w = n - 11. Find d, given that -8/3*d**2 - 8/3*d**3 + 0*d + 0 - w*d**4 = 0.
-2, 0
Let v(l) be the first derivative of -2*l**3/27 + l**2/9 - 2. Factor v(g).
-2*g*(g - 1)/9
Let u be (2/3)/((-2)/3). Let o(t) = -2*t**2 - 1. Let h(x) = x**2 - x + 1. Let v(p) = u*o(p) - h(p). Let v(j) = 0. What is j?
-1, 0
Let t = 10 - 40. Let a be (-4)/t + 86/30. Factor 0 - 1/2*v - 1/2*v**5 + 2*v**2 + 2*v**4 - a*v**3.
-v*(v - 1)**4/2
Suppose 3*p - 2*m - 10 = 0, 3*m + 3 = -4*p - 12. Factor f**4 + p*f**2 - 9*f**2 + 2*f**3 + 2 - f**5 - 1 - f + 7*f**2.
-(f - 1)**3*(f + 1)**2
Let c(x) = 4*x**4 - 68*x**3 + 100*x**2 - 84*x + 24. Let n(u) = -u**4 + 23*u**3 - 33*u**2 + 28*u - 8. Let z(q) = -3*c(q) - 8*n(q). Factor z(w).
-4*(w - 2)*(w - 1)**3
Determine s, given that 18 - 50 + 0*s**3 - 24*s**2 - 48*s - 4*s**3 = 0.
-2
Factor 95*g**3 - 93*g**3 + 7*g**2 - g**2 + 4*g.
2*g*(g + 1)*(g + 2)
Let y(f) be the first derivative of -f**6/120 - f**5/80 - 5*f + 4. Let l(q) be the first derivative of y(q). Determine x so that l(x) = 0.
-1, 0
Let r(k) = -15*k**4 + 20*k**3 - 21*k**2 + 16*k + 11. Let g(a) = -8*a**4 + 10*a**3 - 10*a**2 + 8*a + 6. Let l = 26 - 37. Let o(b) = l*g(b) + 6*r(b). Factor o(h).
-2*h*(h - 2)**2*(h - 1)
Let u(l) be the second derivative of -l**10/105840 + l**8/11760 - l**6/2520 - l**4/6 - l. Let x(h) be the third derivative of u(h). What is f in x(f) = 0?
-1, 0, 1
Suppose 6*w**4 + 6 + 41*w**3 - 21*w**5 - 12*w**2 - 21*w + w**3 + w**2 - w**2 = 0. Calculate w.
-1, 2/7, 1
Let g(y) be the second derivative of -y**6/45 - y**5/90 + y**2/2 + 3*y. Let f(d) be the first derivative of g(d). Factor f(a).
-2*a**2*(4*a + 1)/3
Let j(g) = 2*g**2 + 12*g + 10. Let k(b) = b**2 + 6*b + 5. Let i(c) = -2*j(c) + 5*k(c). Factor i(w).
(w + 1)*(w + 5)
Let r = 2 + -2. Suppose k - 4*k = r. Find m such that m**2 - 1/3*m**4 + 0 + k*m**3 + 2/3*m = 0.
-1, 0, 2
Factor v**2 - 3*v**2 + 5*v**2 - 3*v + 0*v**2 - 6.
3*(v - 2)*(v + 1)
Let l = 341 + -338. Determine o, given that -3/2*o**5 - 3*o + 9/2*o**l - 3/2*o**2 + 0 + 3/2*o**4 = 0.
-1, 0, 1, 2
Let p be (-1)/(-2)*(-8 + 18). Let z = -5 + p. Factor 1/4*a**2 + z + 1/4*a.
a*(a + 1)/4
Let v be ((-105)/189)/(5/(-6)). Find b such that v - 5/3*b**2 + b = 0.
-2/5, 1
Solve -2/7*v + 0*v**2 + 2/7*v**3 + 0 = 0 for v.
-1, 0, 1
Let r(h) be the first derivative of -3*h**4/8 + 2*h**3 - 9*h**2/4 - 44. Solve r(k) = 0.
0, 1, 3
Let h(n) be the third derivative of n**6/96 + n**5/48 - 5*n**4/96 - 5*n**3/24 - 52*n**2. Find k such that h(k) = 0.
-1, 1
Let f = -31/3 - -11. Factor -f*j + 0 + 4/3*j**2 - 2/3*j**3.
-2*j*(j - 1)**2/3
Let g(a) be the first derivative of 3*a**5/100 + a**4/20 + 4*a - 2. Let x(c) be the first derivative of g(c). Find q, given that x(q) = 0.
-1, 0
Let w(h) = -24*h**4 + 393*h**3 - 1512*h**2 + 1143*h + 33. Let j(g) = 3*g**4 - 49*g**3 + 189*g**2 - 143*g - 4. Let u(z) = -33*j(z) - 4*w(z). Solve u(c) = 0.
0, 1, 7
Determine p, given that -1/3*p**2 - 4/3 - 4/3*p = 0.
-2
Let p(q) = -2*q**2 + 31*q - 101. Let t(k) = 4*k**2 - 63*k + 203. Let o(v) = -7*p(v) - 3*t(v). Factor o(r).
2*(r - 7)**2
Let c(k) be the second derivative of k**10/6615 - k**9/6615 - k**8/3360 - k**7/8820 - k**4/6 - k. Let x(m) be the third derivative of c(m). Solve x(r) = 0.
-1/4, 0, 1
Let x(n) be the first derivative of 0*n + 1/6*n**3 + 0*n**2 + 3. Determine z so that x(z) = 0.
0
Let l(n) = -48*n**2 - 63*n + 57. Let z(f) = -7*f**2 - 9*f + 8. Let s(q) = 4*l(q) - 27*z(q). Suppose s(i) = 0. What is i?
-4, 1
Let b(r) be the second derivative of -1/2*r**2 + 1/120*r**5 + 1/480*r**6 + 1/96*r**4 + 0*r**3 +