*k**2 - 8/9 = 0?
-1/3, 2/5, 2
Suppose 3*t = 2*t. Suppose -i + 2*i = t. Determine y, given that -2*y**2 + i + 2/3*y**3 + 4/3*y = 0.
0, 1, 2
Let f(t) be the second derivative of -1/80*t**5 - 4*t + 0 - 1/48*t**4 + 1/24*t**3 + 1/8*t**2. Let f(n) = 0. What is n?
-1, 1
Let a(u) be the second derivative of 5*u**7/252 + u**6/18 - u**5/8 - 5*u. Let a(m) = 0. What is m?
-3, 0, 1
Suppose 3*h + 3*b = -9, h = -0*h + 5*b + 3. Let y be -1*(h - (-3)/2). Find l such that 1/2*l**4 - 1/2*l**5 + 0 + 0*l + 1/2*l**3 - y*l**2 = 0.
-1, 0, 1
Suppose 6*p - 31 = -115. Let r = -14 - p. What is t in 3/4*t**3 + r - 3/4*t - 3/4*t**2 + 3/4*t**4 = 0?
-1, 0, 1
Let n(c) be the third derivative of -c**7/280 + c**6/96 + c**5/120 + 3*c**2. Let n(i) = 0. Calculate i.
-1/3, 0, 2
Let m(x) be the third derivative of 0*x - 1/504*x**8 + 0*x**3 + 0*x**7 + 0*x**5 + 1/90*x**6 - 1/36*x**4 + 0 + 3*x**2. Find p such that m(p) = 0.
-1, 0, 1
Let o(c) be the third derivative of -2*c**2 + 0*c + 0*c**3 + 0*c**4 + 0 - 1/30*c**5 - 1/120*c**6. Let o(y) = 0. What is y?
-2, 0
Let f(c) be the first derivative of -c**7/70 + c**6/150 + 3*c**5/100 - c**4/60 - 5*c - 1. Let r(h) be the first derivative of f(h). Find m, given that r(m) = 0.
-1, 0, 1/3, 1
Let s(d) be the first derivative of -35*d**3/3 + 45*d**2/2 - 10*d - 2. Suppose s(z) = 0. Calculate z.
2/7, 1
Let l(n) = -5*n. Let c be l(-4). Suppose 5*q + 0*q + 31*q + 15*q**2 + c - 8 = 0. Calculate q.
-2, -2/5
Let p(a) be the first derivative of 9*a**5 - 195*a**4/4 + 290*a**3/3 - 90*a**2 + 40*a + 6. What is x in p(x) = 0?
2/3, 1, 2
Let m(l) be the first derivative of -4/5*l + 7/5*l**2 + 4/15*l**3 + 2 - 7/10*l**4. Factor m(n).
-2*(n - 1)*(n + 1)*(7*n - 2)/5
Let x(b) be the second derivative of b**5/50 - b**4/30 - b**3/15 + b**2/5 + 4*b. Factor x(s).
2*(s - 1)**2*(s + 1)/5
Suppose -3*g + 3 = -6. Let d(l) be the third derivative of -1/3*l**g + 1/480*l**6 + 3*l**2 + 1/8*l**4 + 0 - 1/40*l**5 + 0*l. Factor d(b).
(b - 2)**3/4
Let u(i) be the first derivative of -i**4/2 - 22*i**3/3 + 12*i**2 - 11. Factor u(z).
-2*z*(z - 1)*(z + 12)
Suppose 34 = 3*f - 4*i + 1, -i + 32 = 5*f. Suppose -f*v = -2*v - 25. Factor -2/3*k**2 - 1/3 + k + k**4 - 1/3*k**v - 2/3*k**3.
-(k - 1)**4*(k + 1)/3
Suppose -5*c + 6 = -2*l, -5*l = 2*c - c - 12. Suppose 0 = -c*x + 5*x - 9. Find z, given that x*z**2 - 2 - 2*z + 2*z**3 - z**2 + z - z = 0.
-1, 1
Let l be ((-12)/70)/(2/((-14)/3)). Let -2/5 + 2*d**2 - 6/5*d**3 - l*d = 0. What is d?
-1/3, 1
Suppose -2*m = -5*c + 30, 2*m + 0*m = -2*c + 12. Let t = -1 - -3. What is g in g + 3*g**t + g - c + g = 0?
-2, 1
Let d(q) be the second derivative of -49*q**4/3 + 8*q**2 - 14*q. Determine p, given that d(p) = 0.
-2/7, 2/7
Let n(f) be the third derivative of f**5/90 + f**4/12 - 4*f**2. Factor n(d).
2*d*(d + 3)/3
Let d = -2 - -5. Let l be (15/(-6))/((-30)/160*12). Factor -l*i**2 + 8/9*i**d - 2/9*i**4 + 0 + 4/9*i.
-2*i*(i - 2)*(i - 1)**2/9
Solve -25*u**3 - 5*u**3 + 99*u**2 + 192 + 336*u - 12*u**3 + 3*u**4 = 0 for u.
-1, 8
Let p(a) = -a**3 + a + 1. Let b(r) = -15*r**4 - 84*r**3 - 105*r**2 + 44*r - 1. Let d(y) = -b(y) - p(y). Suppose d(k) = 0. What is k?
-3, 0, 1/3
Let i(s) be the third derivative of 0 - 7*s**2 + 0*s + 1/10*s**5 + 0*s**3 + 1/8*s**4 + 1/40*s**6. Factor i(v).
3*v*(v + 1)**2
Let o be (0 - -113)*7/(-294). Let k = 20/7 + o. Determine w so that -1/6*w**3 + 0 + 1/3*w**2 - k*w = 0.
0, 1
Let j be (3/(-2))/((-5)/10). Suppose 2*f**2 - 3*f**2 - f**3 + 5*f**j - 2*f**2 - f = 0. What is f?
-1/4, 0, 1
Factor -1/8*i**2 + 5/8 + 1/2*i.
-(i - 5)*(i + 1)/8
Factor -185*h**2 + 186*h**2 - 6*h + 0*h + 2*h.
h*(h - 4)
Suppose -4*r = r - 5. Let s be r/(-1) - 15/(-5). Let 4/9*m + 0 - 2/9*m**s = 0. What is m?
0, 2
Suppose -p + 6*o - 9 = o, 45 = 3*p + 3*o. Suppose 4*g - 3*t + 4*t - p = 0, 0 = 5*g - 2*t - 4. Solve -2/3*k**g + 2/3*k + 0 = 0.
0, 1
Let f = 9 - 9. Suppose f = -2*j + 6*j. Determine d so that -1/2*d**5 + 0*d - d**4 + 1/2*d**3 + d**2 + j = 0.
-2, -1, 0, 1
Let v(y) be the first derivative of -3*y**6/2 + 12*y**5/5 + 3*y**4/4 - 2*y**3 - 7. Factor v(q).
-3*q**2*(q - 1)**2*(3*q + 2)
Factor -4/9 + 2/9*a**3 - 2/3*a + 0*a**2.
2*(a - 2)*(a + 1)**2/9
Let n(d) = d + 7. Let p be n(-4). What is k in 8*k**2 - 12*k**p + 8*k**4 + 4*k - 14*k**2 + 6*k**2 = 0?
-1/2, 0, 1
Let d(n) be the third derivative of n**7/70 + n**6/10 + n**5/20 - 3*n**4/4 - 68*n**2. Factor d(j).
3*j*(j - 1)*(j + 2)*(j + 3)
Let r = 2 - 1. Factor -2 + 3 - r - 3*n**3 - n**4 - 2*n**2.
-n**2*(n + 1)*(n + 2)
Let i(n) be the first derivative of -n**5/10 - n**4/6 + n**3/3 + n**2 - 6*n + 4. Let s(j) be the first derivative of i(j). What is z in s(z) = 0?
-1, 1
Let l be ((-9)/63)/((-5)/7). Factor l*c**2 + 0 - 2/5*c.
c*(c - 2)/5
Let b = 423 - 419. Factor 4/3*i**2 + 2/3*i**5 - 2/3*i**b + 2/3*i - 4/3*i**3 - 2/3.
2*(i - 1)**3*(i + 1)**2/3
Let n(g) = g**4 - g**2 + 1. Let y(t) = 5*t**4 - 8*t**3 + 9*t**2 - 8*t + 5. Suppose 0 = -0*j - j - 1. Let x(q) = j*y(q) + 3*n(q). Factor x(v).
-2*(v - 1)**4
Suppose -35*v - 29*v = -53*v. Factor v + 2/7*g + 2/7*g**2.
2*g*(g + 1)/7
Suppose 0*w = -5*w + 20. Let z(d) be the first derivative of 0*d**2 - 1/9*d**3 + 0*d + 2 - 1/12*d**w. Let z(v) = 0. Calculate v.
-1, 0
Let z(r) be the third derivative of 1/40*r**6 + 1/4*r**4 + 0*r - 2*r**2 - 3/20*r**5 + 0 + 0*r**3. Factor z(a).
3*a*(a - 2)*(a - 1)
Determine m so that 4/7*m**3 + 0 + 0*m**2 - 2/7*m**4 + 0*m = 0.
0, 2
Let d(i) = 5*i**2 - 3*i - 8. Let j(n) = -66*n**2 + 39*n + 105. Let a(f) = 27*d(f) + 2*j(f). Find r such that a(r) = 0.
-1, 2
Let o(w) = -w**3 - w**2 - w. Let n(a) = 7*a**3 - a**2 + 2*a. Let y(l) = n(l) + 2*o(l). Find g such that y(g) = 0.
0, 3/5
Let a be 0/(-4 + (7 + -5 - -1)). Suppose 0 + a*d - d**2 - 1/3*d**3 = 0. Calculate d.
-3, 0
Let x(p) be the third derivative of -p**5/15 - p**4/3 - 2*p**3/3 + 15*p**2. Factor x(y).
-4*(y + 1)**2
Let w(k) = 9*k**3 - 7*k**2 + 37*k - 18. Let j(b) = -8*b**3 + 8*b**2 - 36*b + 18. Let o(l) = 7*j(l) + 6*w(l). Solve o(r) = 0.
1, 3
Let 0*b**2 - 1/3*b + 1/9*b**3 + 2/9 = 0. Calculate b.
-2, 1
Let y be (-12 - 192/(-16))*(-2)/8. Solve y*m + 2/5*m**3 - 2/5*m**2 + 0 = 0.
0, 1
Let r(j) be the first derivative of j**5/100 + j**4/40 + 3*j**2 - 4. Let g(y) be the second derivative of r(y). What is i in g(i) = 0?
-1, 0
Let o(t) be the third derivative of -5*t**8/1008 - 11*t**7/126 - 23*t**6/72 + 47*t**5/36 + 5*t**4/3 - 10*t**3 + 11*t**2. Suppose o(f) = 0. Calculate f.
-6, -1, 1
Let f(c) be the second derivative of -c**5/170 + c**4/51 + c**3/17 + 6*c. Determine w so that f(w) = 0.
-1, 0, 3
Determine h so that 18*h + 15*h**2 + 9*h**2 + 2 - 8*h**2 = 0.
-1, -1/8
Let r(v) be the second derivative of -1/3*v**4 - 2*v + 0 + 0*v**2 - 1/3*v**3 - 1/10*v**5. Solve r(g) = 0.
-1, 0
Let i(r) be the third derivative of r**7/140 - r**6/80 - 5*r**2. Factor i(w).
3*w**3*(w - 1)/2
Suppose 4*p + 4*n + 8 = 0, -p + 6*n = n - 22. Let b be (3 + -1)*(p - 1). Factor 0*z - 1/2*z**b + 1/4*z**3 + 0.
z**2*(z - 2)/4
Determine z so that 0 - 32 - 16*z**2 - 48*z - 4*z**3 - 8*z**2 = 0.
-2
Let c = -12 - -17. Let -7*x**4 - 2*x**3 + 3*x**2 + 0*x**2 + 5*x**3 - 2*x + 3*x**c = 0. What is x?
-2/3, 0, 1
Factor 7*p**2 - 3*p**2 - p**4 + p**3 - 3*p**2 - p.
-p*(p - 1)**2*(p + 1)
Let g be 0*(3 + (-15)/6). Let i = -6/11 - -23/22. Factor 1/2*c**2 - 1/2*c**3 + g*c - i*c**4 + 1/2*c**5 + 0.
c**2*(c - 1)**2*(c + 1)/2
Let x(n) be the second derivative of -n**7/294 + n**6/105 + 15*n. Solve x(l) = 0.
0, 2
Suppose -24 = 4*p - 10*p. Factor -4/7*h - 6/7*h**p + 0 + 8/7*h**3 + 2/7*h**2.
-2*h*(h - 1)**2*(3*h + 2)/7
Let x = 42 + -40. Let s(u) be the first derivative of 2/3*u**3 + 0*u + 2*u**2 - x. Suppose s(a) = 0. What is a?
-2, 0
Let h = 30 - 206/7. Solve 2/7 - h*y + 2/7*y**2 = 0 for y.
1
What is s in -48/7*s - 18/7*s**4 - 60/7*s**3 - 88/7*s**2 + 0 - 2/7*s**5 = 0?
-3, -2, 0
Suppose 2*c - 4*c + 4*y + 424 = 0, 0 = 5*c + 4*y - 1088. Factor z - c + 3*z**2 + 2*z**3 + 216.
z*(z + 1)*(2*z + 1)
Suppose 2 - 6 = 2*k, -3*h - 2*k - 4 = 0. Factor 1/4*y**4 - 1/4*y**2 - 1/4*y + 1/4*y**3 + h.
y*(y - 1)*(y + 1)**2/4
Suppose 0 = -c - 0*c + 7. Let n(d) = d**4 - 5*d**2 - 3*d - 2. Let t(x) = -2*x**4 + 11*x**2 + 7*x + 5. Let g(a) = c*n(a) + 3*t(a). Factor g(k).
(k - 1)**2*(k + 1)**2
Let x(c) = 2*c + 14. Let w be x(-7). Suppose w = -0*j - 2*j - 2, -4*j - 4 = -3*i. Solve -3/2*h**2 - h + i - 1/2*h**3 