(m). What is k in t(k) = 0?
-1, 0, 1
Suppose -2 = -15*y + 28. Suppose -3/4*v**4 + 0*v**y + 3/2*v**3 + 3/4 - 3/2*v = 0. Calculate v.
-1, 1
Let t(l) be the second derivative of l**5/20 + l**4/6 + l**3/6 - 9*l. Find m such that t(m) = 0.
-1, 0
Let a(u) be the third derivative of u**6/90 - u**2. Factor a(y).
4*y**3/3
Let o be 0/3 + (-4 - 1). Let d be 2*(1 - o/(-6)). Determine x so that -d - 2/3*x - 1/3*x**2 = 0.
-1
Let f(d) be the third derivative of -d**8/3360 + d**6/600 - d**4/240 + 12*d**2. Factor f(n).
-n*(n - 1)**2*(n + 1)**2/10
Let x(c) = -2*c**3 - c**4 - 3 - c**3 + 0 - 3*c**2. Let j(l) = -2*l**3 - 2*l**2 - 2. Let m(r) = -3*j(r) + 2*x(r). Factor m(n).
-2*n**4
Find a such that 4/3*a**3 - 8/3 + 1/6*a**4 + 5/2*a**2 - 4/3*a = 0.
-4, -1, 1
Let y(h) be the second derivative of 0*h**2 + 0 + 1/80*h**5 - 1/24*h**4 + 0*h**3 + 2*h. Factor y(k).
k**2*(k - 2)/4
Let o(s) be the first derivative of 2*s**5/15 - s**4/2 + 2*s**3/3 - s**2/3 + 7. Suppose o(h) = 0. What is h?
0, 1
Let d be (-22)/(-6) - (-6)/18. Suppose g = d*s + 1 + 9, 3*g + 3*s = 0. What is k in 2/3*k - 8/3*k**4 + 4*k**3 + 0 - 8/3*k**g + 2/3*k**5 = 0?
0, 1
Let y(t) = t**3 - 5*t**2 + 8*t - 4. Let v be y(3). Suppose -u = -v*g - 0 + 7, 5*u = 4*g - 23. Find d such that -1/3*d**3 - 4/3*d**g - 5/3*d - 2/3 = 0.
-2, -1
Let m(g) = g**2 - g - 1. Let y(w) = 8*w - 4*w - 5*w - 3*w + w**2 - 3. Let v = -6 - -8. Let f(z) = v*m(z) - y(z). Factor f(p).
(p + 1)**2
Solve 30*o**4 + 16*o**3 - 26*o**2 + 66*o**4 - 117*o + 121*o = 0 for o.
-2/3, 0, 1/4
Let b(m) = -m**2 - 15*m + 18. Let a be b(-16). Let x(q) be the third derivative of 0 - 1/30*q**3 - 1/300*q**5 + 3*q**a + 0*q - 1/60*q**4. Factor x(r).
-(r + 1)**2/5
Let a = 66 - 64. Factor 2/5 - 4/5*o**a + 0*o + 2/5*o**4 + 0*o**3.
2*(o - 1)**2*(o + 1)**2/5
Let g(v) = -v**2 - 11*v - 10. Let u(m) = 2*m**2 + 23*m + 21. Let i(l) = -7*g(l) - 3*u(l). Let s(t) = t**2 + 7*t + 6. Let r(x) = -6*i(x) + 7*s(x). Factor r(p).
p*(p + 1)
Suppose -14*h**2 + 16*h**2 - 8*h + 3 + 3 = 0. What is h?
1, 3
Let m(x) = -13*x**2 - 8*x + 3. Let f(s) = s**2 - 11*s + 1. Let w be f(10). Let c(d) = 3*d**2 + 2*d - 1. Let g(o) = w*c(o) - 2*m(o). Solve g(k) = 0.
-3, 1
Let p(n) = -n**2 + 19*n - 88. Let a be p(11). Find r such that a*r**3 + 4/3*r**4 + 2/3*r + 0 - 4/3*r**2 - 2/3*r**5 = 0.
-1, 0, 1
Let b(t) = t**3 + 15*t**2 + 13*t - 14. Let n be b(-14). Determine s so that -7/2*s**2 - s + n = 0.
-2/7, 0
Let h(b) be the third derivative of 0 + 1/12*b**4 - 1/120*b**5 + 0*b - 1/3*b**3 + 2*b**2. Solve h(z) = 0.
2
Suppose -4*f + 3 = -9. Suppose -5*c - f*d = -4*d - 9, 2*c + 4*d = -14. Factor 3*t**3 + t**4 - 1 + c + 2*t**2 + t**2 + t.
t*(t + 1)**3
What is i in 0*i + 1/2*i**2 - 5/4*i**3 + i**4 + 0 - 1/4*i**5 = 0?
0, 1, 2
Let g(k) = 4*k**3 - 12*k**2 + 14*k - 4. Let u(n) = n**3 + n**2 + n - 1. Let m(f) = -4*g(f) + 4*u(f). Factor m(l).
-4*(l - 3)*(l - 1)*(3*l - 1)
Suppose 0 = h + g - 9, -5*h = -2*g - 5 - 12. Factor -2/5*j**2 + 3/5*j - 1/5*j**h - 1/5 - 2/5*j**3 + 3/5*j**4.
-(j - 1)**4*(j + 1)/5
Suppose -2*m - 4*b = -4, b + 3 - 4 = -2*m. Let d(n) be the second derivative of m - n**2 - n - 1/6*n**4 - 2/3*n**3. Factor d(c).
-2*(c + 1)**2
Let f(o) be the second derivative of o**8/560 - o**7/140 + o**6/120 - o**3/3 + o. Let d(r) be the second derivative of f(r). Determine p, given that d(p) = 0.
0, 1
Suppose 3*q + 3*q = 0. Suppose -3/2 + q*l + 3*l**2 - 3/2*l**4 + 0*l**3 = 0. Calculate l.
-1, 1
Let w(m) = -19*m**3 - 21*m**2 + m - 4. Let d(x) = -6*x**3 - 7*x**2 - 1. Let y(c) = -7*d(c) + 2*w(c). Suppose y(h) = 0. Calculate h.
-1, 1/4
Factor -12*w + 8*w - 24*w - 16*w + 4*w**2.
4*w*(w - 11)
Let g(o) be the second derivative of -o**3 + 3/2*o**2 + 0 - 3*o + 1/4*o**4. Suppose g(a) = 0. What is a?
1
Let n be 2/(-9)*(-15)/10. Let m(j) be the first derivative of n*j**3 - 2 + 0*j**2 - j. Solve m(c) = 0.
-1, 1
Find n, given that 0 + 1/7*n**3 - 3/7*n**2 + 0*n = 0.
0, 3
Let p be (8/(-28))/(6/(-14)). Factor 1/3*i**4 + 2/3*i + 0*i**2 - p*i**3 - 1/3.
(i - 1)**3*(i + 1)/3
Let t(z) = -25*z**2 + 15*z + 37. Let s(r) = 12*r**2 - 8*r - 18. Let w(v) = -13*s(v) - 6*t(v). What is b in w(b) = 0?
-2/3, 3
Let q(o) be the third derivative of -o**6/240 + o**4/48 + 3*o**2. Factor q(v).
-v*(v - 1)*(v + 1)/2
Solve -53*h**3 + 40*h**4 - 57*h**3 - 5*h**5 + 58*h**2 + 62*h**2 + 0*h**5 - 45*h = 0.
0, 1, 3
Let c = -26 - -26. Let t(q) be the second derivative of c*q**3 + 0*q**2 + 0*q**6 + 0 - 1/84*q**7 + 0*q**4 + 1/40*q**5 - q. Find s such that t(s) = 0.
-1, 0, 1
Let j = -6 + 9. Suppose 3*l + 2 - j = -y, 33 = 4*l - 5*y. Factor 2*w**3 - 3*w**2 - w + 4 - l*w - 5*w + 4*w + w**4.
(w - 1)**2*(w + 2)**2
Let s(m) = -m - 8. Let d be s(-11). Let w(t) be the first derivative of 3/8*t**4 + 2 - t**d + 0*t + 3/4*t**2. Suppose w(i) = 0. What is i?
0, 1
Let 0*s**2 - 3/4*s**3 - 1/4*s**4 + 0 + 0*s = 0. Calculate s.
-3, 0
Let d(i) = 8*i**2 - 24*i. Let f(w) = -w**2. Let u(r) = -d(r) - 4*f(r). Factor u(c).
-4*c*(c - 6)
Suppose -5*x = -0*p - 2*p - 406, p = -3*x + 248. Let j = -244/3 + x. What is w in -2/3*w**4 - 2/3*w**3 + 2/3*w**2 + 0 + j*w = 0?
-1, 0, 1
Find d such that -1/9*d**5 + 16/9*d**2 + 0*d**3 + 16/9*d + 0 - 4/9*d**4 = 0.
-2, 0, 2
Let b be 2/(-5) + (-34)/(-10). Suppose 3*s = b*t - 3, 0 = -3*t + 4*s + s + 1. Solve k**4 + 3*k - 2*k**t + 4*k**4 - 3*k**4 - 2*k - k**5 = 0 for k.
-1, 0, 1
Let j(i) be the first derivative of -6*i**5/35 - 5*i**4/7 - 8*i**3/21 + 8*i**2/7 + 44. What is t in j(t) = 0?
-2, 0, 2/3
Let y(h) = -h**2 - 2*h. Let c(s) = s. Let v(f) = -6*c(f) - 3*y(f). Let p be v(-1). Factor 0 + x - 1/2*x**p - 1/2*x**2.
-x*(x - 1)*(x + 2)/2
Let t be 14/588 - (1 - 1). Let f(m) be the second derivative of 0 + 1/7*m**2 + 0*m**3 - t*m**4 - m. Factor f(q).
-2*(q - 1)*(q + 1)/7
Let d(o) be the first derivative of -o**6/18 - o**5/5 - o**4/4 - o**3/9 + 7. What is f in d(f) = 0?
-1, 0
Let s(l) be the first derivative of -l**5/15 - l**4/2 - 4*l**3/3 - 2*l**2 + 7. Let r(w) be the second derivative of s(w). Solve r(z) = 0.
-2, -1
Let d = -6 - -8. Factor 0*j + 5*j + 0*j**2 - 3*j**2 - d + 0*j**2.
-(j - 1)*(3*j - 2)
Let z = -8 - -35. Let h be ((-9)/z)/(2/(-30)). Factor -125/2*m**4 + 76*m + 350*m**3 - 625/4*m**h - 260*m**2 - 8.
-(m + 2)*(5*m - 2)**4/4
Let n = 35 + -7. Let y be 22/n + (-1)/2. What is z in 6/7*z**3 + 0 + y*z**4 + 2/7*z + 6/7*z**2 = 0?
-1, 0
Let w(r) be the second derivative of 13*r**5/100 - 5*r**4/6 + 22*r**3/15 + 4*r**2/5 - 35*r. Factor w(f).
(f - 2)**2*(13*f + 2)/5
Let n(m) = -m**3 + 21*m**2 + 48*m + 32. Let s(f) = -f**3 + 41*f**2 + 96*f + 64. Let x(y) = 5*n(y) - 3*s(y). Solve x(d) = 0 for d.
-4, -1
Let w be (2/(-8))/((-36)/48). Factor 1/3*v**2 - w*v**4 + 0*v**3 + 0*v + 0.
-v**2*(v - 1)*(v + 1)/3
Let y(d) be the second derivative of -d**4/28 + d**3 - 21*d**2/2 - 14*d. Factor y(q).
-3*(q - 7)**2/7
Let o(g) be the second derivative of -g**7/105 + g**6/25 - 3*g**5/50 + g**4/30 + 19*g. Factor o(u).
-2*u**2*(u - 1)**3/5
Let y(u) = -3*u**4 - 3*u**3 - 9*u**2 - 5*u - 5. Let z(g) = 4*g**4 + 4*g**3 + 13*g**2 + 7*g + 7. Let j(i) = -7*y(i) - 5*z(i). Suppose j(f) = 0. Calculate f.
-2, 0, 1
Let a(l) be the first derivative of -1/2*l**3 + 8 - 1/3*l - 1/30*l**5 - 5/24*l**4 - 7/12*l**2. Factor a(p).
-(p + 1)**3*(p + 2)/6
Let j(r) be the first derivative of r**5/25 - 3*r**4/20 + r**3/15 + 3*r**2/10 - 2*r/5 + 13. Factor j(a).
(a - 2)*(a - 1)**2*(a + 1)/5
Suppose 3*n + 15 = -4*q, -5*n = -3*q + 7 + 18. Suppose -2/9*p**2 + q - 2/9*p = 0. What is p?
-1, 0
Let q(h) be the third derivative of h**5/240 - h**4/24 - 14*h**2. Factor q(n).
n*(n - 4)/4
Let o(i) be the third derivative of -1/120*i**5 - 1/420*i**7 + 0*i**3 + 0*i + 0 + 0*i**4 - 1/120*i**6 + 3*i**2. Factor o(f).
-f**2*(f + 1)**2/2
Let l be (7/3 + -1)/(140/30). Factor l*h**2 + 4/7 - 6/7*h.
2*(h - 2)*(h - 1)/7
Solve -3/2*b**2 - 1/2 - 3/2*b - 1/2*b**3 = 0.
-1
Suppose -f - 20 = -6*f + u, -5*f = -5*u - 40. Factor f - 3/2*l**2 + 3/2*l.
-3*(l - 2)*(l + 1)/2
Let k = 8/21 - -2/7. Factor k + 4/3*u**2 + 1/3*u**3 + 5/3*u.
(u + 1)**2*(u + 2)/3
Let r(v) be the first derivative of v**4/4 - v**3 + v**2 - 6. Factor r(h).
h*(h - 2)*(h - 1)
Factor 0*t**3 + t**4 + 0*t**3 + t**3.
t**3*(t + 1)
Let k(u) be the third derivative of -1/12*u**3 + 1/240*u**6 + 0*u + 0 - 1/40*u**5 + 1/16*u**4 - u**2. Factor k(h).
(h - 1)**3/2
Suppose 0 = 3*r - 0*r. Let z(i) be the third d