 = 12, -4*a + 16 = 4*h - k*h. Suppose -14*l**a + 4*l + 9*l**2 + 15*l**2 - 3*l**3 - 10*l**2 - l**3 = 0. What is l?
-1, -2/7, 0, 1
Let o = 7 - 7. Suppose -4*f + 4*k = 0, o = 4*f + 2*k - 5 - 7. Factor 0 + 2/3*c - 1/3*c**f.
-c*(c - 2)/3
Suppose 10 = 3*m - 8*m - 4*b, b + 5 = 0. Factor 7*l**4 - 3*l + 0*l**5 - 3*l**5 + 3 + 6*l**3 - 6*l**m + 0*l**5 - 4*l**4.
-3*(l - 1)**3*(l + 1)**2
Let n = 72/11 - 64/11. Factor -4/11 + 10/11*f - n*f**2 + 2/11*f**3.
2*(f - 2)*(f - 1)**2/11
Suppose -6*l**3 + 9*l**4 + 5*l + 12*l**4 - 18*l**4 + l - 3*l**2 = 0. What is l?
-1, 0, 1, 2
Suppose 1/2*k**4 + 0*k**3 + 1/2 - k**2 + 0*k = 0. Calculate k.
-1, 1
Let h(k) be the third derivative of -k**6/480 - k**5/16 - 21*k**4/32 - 49*k**3/24 - 11*k**2. Factor h(d).
-(d + 1)*(d + 7)**2/4
Let t(n) = -3*n**2 - 4 + 3*n**2 + 4*n**2 - 6*n - 3*n**2. Let w be t(7). What is h in 12/7*h**w + 2*h**5 + 8*h**2 - 16/7*h - 46/7*h**4 + 0 = 0?
-1, 0, 2/7, 2
Suppose -20 = -15*m + 55. Suppose -5/2*i**3 - 7/2*i**4 - 3/2*i**m + 0 - 1/2*i**2 + 0*i = 0. Calculate i.
-1, -1/3, 0
Let b(n) be the third derivative of -n**6/210 + n**5/15 - 11*n**4/42 + 10*n**3/21 + 10*n**2. Factor b(j).
-4*(j - 5)*(j - 1)**2/7
Let u(k) = -8*k**3 + 2*k**2 + 3*k + 1. Let v be u(-1). Let m be 32/24 + v/(-6). Factor m - 2/7*d**2 - 2/7*d.
-2*d*(d + 1)/7
Let f be (-2)/((-8)/12) + -2. Let k be (-1 - f) + (-5)/(-2). Factor 1/4*r - 1/4*r**2 + k.
-(r - 2)*(r + 1)/4
Let j(h) be the second derivative of -h**8/3360 + h**7/840 - h**6/720 + h**3/3 - h. Let y(a) be the second derivative of j(a). Find g such that y(g) = 0.
0, 1
Let m(t) be the third derivative of -t**8/6720 - t**7/280 - 3*t**6/80 + t**5/30 - 3*t**2. Let y(u) be the third derivative of m(u). Factor y(n).
-3*(n + 3)**2
Let f(q) be the third derivative of -q**8/224 + 3*q**6/80 - q**5/20 - 21*q**2. Factor f(r).
-3*r**2*(r - 1)**2*(r + 2)/2
Let m(s) = 10*s**5 + 3*s**4 - 6*s**3 + s**2 + 10*s - 4. Let n(b) = -3*b**5 - b**4 + 2*b**3 - 3*b + 1. Let c(v) = -6*m(v) - 21*n(v). What is k in c(k) = 0?
-1, 1
Let m = 71 + -425/6. Let l(k) be the first derivative of -m*k**4 - 1 + 0*k + 0*k**3 + 1/3*k**2. Factor l(d).
-2*d*(d - 1)*(d + 1)/3
Solve 4/7*b + 2/7*b**2 + 0 = 0 for b.
-2, 0
Let l(r) be the third derivative of -r**6/60 + r**4/12 + 14*r**2. Factor l(y).
-2*y*(y - 1)*(y + 1)
Let q(k) be the third derivative of -k**8/560 + k**3/2 + 3*k**2. Let d(s) be the first derivative of q(s). Find o, given that d(o) = 0.
0
Suppose 14*x + 6*x + 0*x = 0. Factor -9/4*y + x + 3/4*y**2.
3*y*(y - 3)/4
Suppose -3*l + f = 3*f + 8, -4*f - 16 = l. Factor l*a + 1/2*a**4 + 0 - 1/4*a**3 - 1/4*a**2.
a**2*(a - 1)*(2*a + 1)/4
Suppose -v**4 - 4*v**5 + 5*v**5 + 3*v**4 + 0*v**4 = 0. What is v?
-2, 0
Let n(a) = a**4 + a**3 - a**2 - a. Let y(p) = -2*p**4 - 6*p**3 + 2*p**2 + 6*p. Let w(v) = 4*n(v) + y(v). Factor w(m).
2*m*(m - 1)**2*(m + 1)
Let f(h) = -h**2 - 3*h + 18. Let d be f(-6). Factor 1/4*i**4 - 1/4*i**5 + 0*i + d + 0*i**2 + 0*i**3.
-i**4*(i - 1)/4
Let 0*d - 3/5*d**3 - 9/5*d**2 + 12/5 = 0. What is d?
-2, 1
Let z(l) be the first derivative of -l**6/10 - 12*l**5/25 - 3*l**4/5 + 2*l**3/5 + 3*l**2/2 + 6*l/5 + 19. Find b, given that z(b) = 0.
-2, -1, 1
Let a(m) = 3*m**4 + 5*m**3 - 5*m + 5. Suppose -5*n + n = -q - 16, -5*n + 5*q = -5. Let s(c) = -c**4 - 2*c**3 + 2*c - 2. Let f(g) = n*s(g) + 2*a(g). Factor f(l).
l**4
Let f(h) be the third derivative of 3*h**2 + 1/168*h**8 - 1/25*h**6 + 1/175*h**7 + 0*h**4 + 2/75*h**5 + 0*h**3 + 0 + 0*h. Find q such that f(q) = 0.
-2, 0, 2/5, 1
Let c = -214/3 + 72. Let n(q) be the first derivative of -c*q**3 - 1/2*q**2 - 2 + q. Factor n(j).
-(j + 1)*(2*j - 1)
Let r(u) = -2*u**3 + 6*u**2 + 12*u - 10. Let y(i) = -i**2 - i + 1. Let s(f) = -r(f) - 6*y(f). Determine m so that s(m) = 0.
-2, 1
Let m be (-3)/(-9)*3 + 2. Suppose 2/3 + 2*b - 2*b**m + 2/3*b**2 - 4/3*b**4 = 0. Calculate b.
-1, -1/2, 1
Solve -69*f**2 + 108 + 269*f + 9*f**4 - 3*f**5 + 27*f**3 - 341*f + 0*f**5 = 0 for f.
-2, 1, 3
Let t(g) be the first derivative of g**3/6 + g**2 + 3*g/2 + 4. Factor t(f).
(f + 1)*(f + 3)/2
Factor -6*x - 7*x**2 + 4*x**2 + 5*x**2.
2*x*(x - 3)
Let u(a) be the second derivative of -3/20*a**5 - 1/4*a**4 + 3*a + 0 + 0*a**2 + 1/10*a**6 + 1/2*a**3. Factor u(x).
3*x*(x - 1)**2*(x + 1)
Suppose 2*a**3 - 3*a**5 + 0*a**4 + a**5 + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let n be (-6 + (-34)/(-6))*1*-12. Factor 110/3*o**n - 46/3*o**2 + 38/3*o**3 + 8/3 - 16/3*o + 50/3*o**5.
2*(o + 1)**3*(5*o - 2)**2/3
Factor 0 + 2/3*h**2 + 2/3*h - 2/3*h**4 - 2/3*h**3.
-2*h*(h - 1)*(h + 1)**2/3
Let j(s) be the third derivative of s**7/3780 + s**6/540 + s**5/180 + s**4/8 - 3*s**2. Let k(u) be the second derivative of j(u). Factor k(t).
2*(t + 1)**2/3
Let c(d) be the second derivative of -d**4/3 - 2*d**3 - 4*d**2 + d. Factor c(l).
-4*(l + 1)*(l + 2)
Let b(h) = -h**3 - 7*h**2 - 2*h - 9. Let d be b(-7). What is s in -7 + 2 - 48*s - 27*s**3 - d - 63*s**2 - 2 = 0?
-1, -2/3
Let n(x) be the first derivative of -x**4/8 - x**3 - 9*x**2/4 + 32. Factor n(t).
-t*(t + 3)**2/2
Let l(b) = -2*b**4 + 6*b**3 + 10*b**2 + 12*b + 1. Let v(w) = 3*w**4 - 12*w**3 - 21*w**2 - 24*w - 3. Let d(t) = 5*l(t) + 3*v(t). Suppose d(u) = 0. Calculate u.
-2, -1
Let u(n) be the second derivative of 1/30*n**5 + 0*n**2 + 1/45*n**6 + 0 - 1/9*n**3 - 1/18*n**4 - 2*n. Factor u(d).
2*d*(d - 1)*(d + 1)**2/3
Let s(y) be the third derivative of -y**7/1995 - y**6/570 + y**5/190 - 12*y**2. Let s(p) = 0. Calculate p.
-3, 0, 1
Let h(u) be the second derivative of 0*u**3 + 1/30*u**6 - 1/12*u**4 + 0 + 0*u**2 - 4*u + 0*u**5. Find i, given that h(i) = 0.
-1, 0, 1
Let c = 24 + -21. Find j such that 2*j**2 + 2*j + 4*j**2 - 4*j**2 - 1 - c*j**2 = 0.
1
Factor 1/2 - 3/2*d - 1/2*d**3 + 3/2*d**2.
-(d - 1)**3/2
Suppose -4*c + 32 = 4*s - 0*s, -4*c - 3*s = -27. Find y, given that -2*y**2 - 3*y**2 + y**2 + 1 + c*y**2 = 0.
-1, 1
Let c(p) be the second derivative of 0*p**3 + 1/180*p**5 - 1/36*p**4 + 0 - 2*p**2 + p. Let y(n) be the first derivative of c(n). Let y(b) = 0. What is b?
0, 2
Suppose -x + 4*j - 14 = 3, -3*j + 12 = -x. Let w(c) be the second derivative of 1/12*c**x + 2*c - 1/48*c**4 + 0 + 0*c**2. Factor w(h).
-h*(h - 2)/4
Let y = 9 + -9. Let g(u) be the second derivative of y*u**2 - 2*u + 1/42*u**4 + 0 + 1/21*u**3. Determine k, given that g(k) = 0.
-1, 0
Let z(f) be the first derivative of -f**3/5 + 6*f**2/5 - 9*f/5 + 2. Factor z(i).
-3*(i - 3)*(i - 1)/5
Let s(b) be the second derivative of -1/40*b**6 + 3/80*b**5 + 0*b**3 + 0*b**2 + 1/16*b**4 - 1/56*b**7 - 3*b + 0. Let s(d) = 0. What is d?
-1, 0, 1
Let b = 4 - 1. Factor z**4 - z**4 + z**2 - z**3 - b*z**5 - z**4 + 4*z**5.
z**2*(z - 1)**2*(z + 1)
Find l such that 258*l**3 + 10*l - 11*l**2 - 5*l**5 - 4*l**2 + 15*l**4 - 263*l**3 = 0.
-1, 0, 1, 2
Let t(l) be the first derivative of -l**7/14 + l**6/5 - 3*l**5/20 - 5*l + 4. Let w(a) be the first derivative of t(a). Factor w(z).
-3*z**3*(z - 1)**2
Let t = 5907/5 + -1181. Factor -2/5 + 0*y + t*y**2.
2*(y - 1)*(y + 1)/5
Let s(v) = -4*v**2 + 4*v - 13. Let b(c) = c**2 - c + 4. Let h(t) = 14*b(t) + 4*s(t). Factor h(p).
-2*(p - 2)*(p + 1)
Let a = -21 - -24. Suppose 6*b = a*b. Suppose -2/3*u + 5/3*u**3 - u**2 + b = 0. Calculate u.
-2/5, 0, 1
Let n = -6 + 9. Suppose 4 - 6*q - 15*q**2 - 4 + 21*q**n = 0. Calculate q.
-2/7, 0, 1
Suppose 0*z - 2*z - 3*b = 3, -3*b = -z + 12. Find g such that 0*g**5 + 0*g**5 - 3*g**3 + z*g**5 = 0.
-1, 0, 1
Let b(r) be the first derivative of r**4/8 - r**3/2 + r**2/2 - 41. Factor b(j).
j*(j - 2)*(j - 1)/2
Let d = 2 - -1. Let s(b) = -7*b**3 - 2*b - 1. Let z be s(-1). Factor a**5 + z*a**4 + a**5 - 4*a**3 + 12*a**d.
2*a**3*(a + 2)**2
Let n(i) = 1. Let c(v) = -3*v**2 - 6*v**3 + 3*v**3 - 6 + 6*v**3. Let g(z) = c(z) + 6*n(z). Factor g(q).
3*q**2*(q - 1)
Let g(a) be the third derivative of -7*a**6/40 + 13*a**5/10 - 13*a**4/8 - 3*a**3 - 47*a**2. Factor g(r).
-3*(r - 3)*(r - 1)*(7*r + 2)
Suppose 4*t = -0 + 12. Factor 9*j**3 - 10*j**t - j + 3*j - j**2.
-j*(j - 1)*(j + 2)
Find w such that 2/7*w**2 + 6/7 - 8/7*w = 0.
1, 3
Let l be ((4 + 2)/18)/(0 - -1). Factor l*i**3 - 2/3 - i + 0*i**2.
(i - 2)*(i + 1)**2/3
Let d(b) = -2*b**2 - 2. Let o(v) = v**2 + v - 1. Let w(a) = -d(a) - 4*o(a). Factor w(t).
-2*(t - 1)*(t + 3)
Let b be 9/(-3) + (-5)/(-1). Solve 2 - 2 + 15*o**3 - 6*o**3 + 3*o**b - 12*o**4 = 0.
-1/