at is h?
-1, 0, 1
Let g(c) be the first derivative of -c**3/4 - 3*c**2/8 + 3*c/2 + 2. Suppose g(v) = 0. Calculate v.
-2, 1
Let a be -3 - (10/35 - (-313)/(-91)). Suppose -2/13*c**2 + a + 0*c = 0. Calculate c.
-1, 1
Let s(q) = -3*q**4 + 10*q**3 - 7*q**2 - 2. Let g(b) = 3*b**4 - 11*b**3 + 7*b**2 + b + 3. Let o be 10/(-3) - 10/15. Let w(p) = o*g(p) - 6*s(p). Solve w(u) = 0.
0, 2/3, 1
Let v be 6/4*(0 + (-6)/(-81)). Let r(n) be the first derivative of 2/5*n**5 + v*n**6 - n**2 + 1/3*n**4 - 4/9*n**3 - 1 - 2/3*n. Let r(k) = 0. What is k?
-1, 1
Let i(g) be the first derivative of 2*g**5/5 - g**4/2 - 2*g**3/3 + g**2 - 6. Factor i(b).
2*b*(b - 1)**2*(b + 1)
Let g(o) = -6*o**2 + 4*o - 2. Let s(l) be the first derivative of -2*l**2 + 7/3*l**3 - 1 + 2*l. Let m(p) = 5*g(p) + 4*s(p). Find h such that m(h) = 0.
1
Let j be ((-2)/5)/((-1)/30). Factor 2*p**3 + j*p**4 + 8*p**3 + 3*p**2 + 5*p**3.
3*p**2*(p + 1)*(4*p + 1)
Suppose 0 = 5*x - 4 - 6. Let v = -6 - -9. Factor m + 2*m**x - 3 + 5 - 3 - 1 - m**v.
-(m - 2)*(m - 1)*(m + 1)
Let r be (6/9)/((-1)/(-3)). Factor -2*j**3 + 2*j - r*j**2 + 0*j**2 + 2*j.
-2*j*(j - 1)*(j + 2)
Let v be ((-14)/6 + 2)/(-4 + 2). Factor 1/6*y**2 + 0*y - v.
(y - 1)*(y + 1)/6
Let b be ((-99)/(-330))/(-3*(-2)/4). Let l(x) = x**3 - x**2 - x + 4. Let p be l(0). Solve b - 1/5*m**p + 0*m**2 - 2/5*m + 2/5*m**3 = 0.
-1, 1
Let g(j) be the third derivative of -j**5/120 - j**4/24 - 8*j**2. Factor g(t).
-t*(t + 2)/2
Let n(z) be the third derivative of -z**7/2520 - z**6/288 - z**5/120 - z**4/4 - 3*z**2. Let k(p) be the second derivative of n(p). Let k(g) = 0. Calculate g.
-2, -1/2
Let o(q) = -q - 4. Let f(w) = -5*w - 19. Let j(g) = 2*f(g) - 11*o(g). Let m be j(-5). What is u in -1 + u**2 - 1 + m = 0?
-1, 1
Factor -18*p**2 + 15*p**2 + 8 + 4.
-3*(p - 2)*(p + 2)
Let t(a) = 3*a**2 - 2*a - 2. Let h be t(-1). Determine i so that -3*i**h - 5*i**2 + 6*i + 0 + 4*i**3 + 2*i - 4 = 0.
1, 2
Let l be 0 + 1 - -2 - 1. Suppose -4*q = 3*d - 11, 2*d - 5 = -3*d. Suppose q*y**l + 2*y**2 - y**3 - 5*y**2 = 0. Calculate y.
-1, 0
Let c(y) be the first derivative of 20*y**5 - 80*y**4 + 32*y**3 + 128*y**2 + 64*y + 12. Suppose c(i) = 0. Calculate i.
-2/5, 2
Let y(o) be the second derivative of o**6/90 - o**5/20 + o**4/12 - o**3/18 + 28*o. Suppose y(j) = 0. What is j?
0, 1
Determine h so that -4/3*h + 0 + 1/3*h**2 = 0.
0, 4
Let h(x) be the second derivative of -x**4/66 + x**3/11 + 14*x. Find a, given that h(a) = 0.
0, 3
Determine t so that 0 + 0*t + 1/3*t**2 = 0.
0
Let a be 3*(-1 - (-1 - (-5)/(-3))). Let l(i) be the first derivative of -1/15*i**6 + 0*i - 2 + 4/25*i**a + 0*i**4 - 4/15*i**3 + 1/5*i**2. Factor l(d).
-2*d*(d - 1)**3*(d + 1)/5
Let r be 3 + (2 + -1)*0/3. Factor u**2 + 3/4*u**r - u + 0.
u*(u + 2)*(3*u - 2)/4
Let l be 2/2*(-6)/(-3). Let g be ((-33)/14 + l)*-4. Let g*d - 10/7*d**3 + 4/7 + 2/7*d**2 - 6/7*d**4 = 0. Calculate d.
-1, -2/3, 1
Factor 125/2*z**4 + 110*z**2 + 0 + 175*z**3 + 20*z.
5*z*(z + 2)*(5*z + 2)**2/2
Suppose 0 = -2*j + 6. Let v(u) be the second derivative of 0*u**2 + 0 + 1/3*u**3 + 1/12*u**4 + j*u. Determine x, given that v(x) = 0.
-2, 0
Let f(q) be the third derivative of -q**5/120 + q**4/12 - q**3/3 - q**2. Determine j, given that f(j) = 0.
2
Let v = 97/75 - -1/25. Find a, given that 2/3 - 2/3*a + v*a**3 - 4/3*a**2 - 2/3*a**5 + 2/3*a**4 = 0.
-1, 1
Suppose w - 4*f = 24, -3*f = -2*w + 2*f + 42. Find n such that -38*n**3 + 52*n**2 + w*n**4 - 25*n**3 + 15*n**3 + 4 - 24*n = 0.
1/2, 1
Factor -33*j**2 + 5*j + 43*j**2 - 2*j**3 + 7*j**3.
5*j*(j + 1)**2
Suppose 3 = 6*s - 9. Determine x so that 0*x**2 + s*x**2 + 3*x + x**2 = 0.
-1, 0
Let g(c) be the second derivative of -4*c**7/105 - c**6/6 - 11*c**5/40 - 5*c**4/24 - c**3/12 + c**2 - c. Let l(v) be the first derivative of g(v). Factor l(m).
-(m + 1)**2*(4*m + 1)**2/2
Let i(h) be the third derivative of 0 + 0*h - 4*h**2 - 2/15*h**5 - 1/6*h**4 - 1/12*h**3. Factor i(x).
-(4*x + 1)**2/2
Let a(q) be the first derivative of -2*q**6/9 + 14*q**5/15 - q**4 - 2*q**3/9 + 2*q**2/3 + 6. Determine h, given that a(h) = 0.
-1/2, 0, 1, 2
Suppose -5*b = 4*o - 28, -b + 5*b - 24 = -4*o. Factor 0*p**2 + 0*p**b - 4/5*p**3 + 0 + 2/5*p + 2/5*p**5.
2*p*(p - 1)**2*(p + 1)**2/5
Factor -135/8*m**2 - 10125/8 - 2025/8*m - 3/8*m**3.
-3*(m + 15)**3/8
Let t be (-4)/34 - 140/(-34). Let u(q) be the second derivative of -1/3*q**t - 2/5*q**5 - 1/12*q**3 + 0 + 0*q**2 - 2*q. Factor u(s).
-s*(4*s + 1)**2/2
Let r be 1*(-1)/4 + (-109)/(-436). Factor l**3 + 0*l + r - 1/2*l**2.
l**2*(2*l - 1)/2
Let v(r) be the second derivative of -2*r**6/15 + r**5/5 + 3*r. Factor v(m).
-4*m**3*(m - 1)
Let q = -158 + 160. Let x = 119 + -350/3. Factor 1/3 + 4/3*a**3 + 2/3*a - x*a**q.
(a - 1)**2*(4*a + 1)/3
Suppose -4/15 + 2/15*k**4 + 2/5*k - 2/5*k**3 + 2/15*k**2 = 0. Calculate k.
-1, 1, 2
Let y(f) = -5*f**5 - 7*f**4 - 16*f**3 + 39*f - 7. Let o(s) = 2*s**5 + 3*s**4 + 8*s**3 - 19*s + 3. Let t(p) = 7*o(p) + 3*y(p). Solve t(l) = 0 for l.
-2, 0, 2
Let f(s) be the first derivative of s**8/1680 - s**7/280 + s**6/120 - s**5/120 + 2*s**3 + 5. Let w(k) be the third derivative of f(k). Factor w(n).
n*(n - 1)**3
Factor 4*y**2 - 1581*y - 3*y**2 + 1580*y.
y*(y - 1)
Let d(i) be the second derivative of -1/60*i**6 + 0 - 1/40*i**5 + 7*i + 1/12*i**3 + 1/24*i**4 + 0*i**2. Let d(o) = 0. What is o?
-1, 0, 1
Let f(l) = -5*l - 17. Let a be f(-4). Let y(o) be the first derivative of 1 + 0*o**a + 0*o**2 + 0*o**4 - 1/15*o**5 + 0*o. Factor y(p).
-p**4/3
Let t(d) be the third derivative of -d**6/60 - d**5/15 + d**4/4 + 23*d**2. Factor t(r).
-2*r*(r - 1)*(r + 3)
Let j(c) be the first derivative of -1/5*c**6 - 4 + 0*c**3 + 4/25*c**5 + 0*c + 0*c**2 + 1/10*c**4. Suppose j(f) = 0. Calculate f.
-1/3, 0, 1
Let s = 283/468 + -15/26. Let f(m) be the second derivative of 3*m + 1/18*m**3 - 1/60*m**5 + 0 + 0*m**2 + s*m**4 - 1/90*m**6. Factor f(k).
-k*(k - 1)*(k + 1)**2/3
Let d(s) be the second derivative of -s**5/60 + 7*s**4/18 - 49*s**3/18 - 39*s. Factor d(q).
-q*(q - 7)**2/3
Let j(p) be the second derivative of -p**4/12 + p**3/2 + 4*p. Factor j(h).
-h*(h - 3)
Find p such that 2/9 - 2/3*p + 2/3*p**2 - 2/9*p**3 = 0.
1
Let y = -11324/5 - -158619/70. Let p = -9/10 + y. Determine x so that 8/7*x - 6/7*x**2 - p = 0.
1/3, 1
Factor 6*b**2 - 11*b**2 + b**2 + 0*b**2 + 4*b**3.
4*b**2*(b - 1)
Let i = -2 + 2. Factor 0*l - 2*l**3 - l**4 + 18*l**2 + i*l - 19*l**2.
-l**2*(l + 1)**2
Let s(r) be the third derivative of r**7/60 + r**6/8 + 3*r**5/10 + r**4/6 + 6*r**2. Factor s(j).
j*(j + 2)**2*(7*j + 2)/2
Suppose 0 = -5*a + 5*i + 20 + 15, -2*i = -a + 6. Determine z, given that 10*z - 9*z**4 - 2*z - 8 - a*z**3 + 11*z**4 + 6*z**2 = 0.
-1, 1, 2
Let z(m) = 10*m**3 + 32*m**2 + 26*m + 4. Let x(o) = 15*o**3 + 48*o**2 + 39*o + 6. Let s(a) = 5*x(a) - 8*z(a). Find b such that s(b) = 0.
-2, -1, -1/5
Let c be (-3)/(-6) - (-25)/10. Let s be 2/(-18)*2*-1. Factor -2/9*j**c + 0*j + 0 + s*j**2.
-2*j**2*(j - 1)/9
Suppose 0 = -2*a - 2*c, 2*c + 0*c = a - 9. Suppose -10 = 3*z + 3*m + 5, -3*z + a*m = -15. Find b, given that 2/7*b + z - 2/7*b**2 = 0.
0, 1
Suppose -4*q - 1 = -4*b - 17, 8 = -2*b. Let c(w) be the second derivative of 1/10*w**5 - 2/3*w**2 + q - 2*w + 1/45*w**6 - 1/3*w**3 + 1/18*w**4. Solve c(f) = 0.
-2, -1, 1
Suppose 44*j + 0*j**2 - 90 + 130 + 4*j**2 = 0. What is j?
-10, -1
Suppose 0*b + 6 = b. Let g = b - 5. Factor -79*v + g + 258*v**2 + 7 + 3*v - 365*v**3 - 35*v**4 + 210*v**4.
(v - 1)*(5*v - 2)**2*(7*v - 2)
Factor u - 3*u - 2*u**2 + u + 5*u.
-2*u*(u - 2)
Let y be ((-1)/(-8))/((-108)/(-288)). Let p(l) be the first derivative of -1/6*l**4 + 2/3*l - 2/9*l**3 + y*l**2 - 2. Find z such that p(z) = 0.
-1, 1
Let d(l) be the third derivative of 2*l**7/35 + l**6/12 - l**5/10 - l**4/6 - 14*l**2. Solve d(x) = 0 for x.
-1, -1/2, 0, 2/3
Let l be (-364)/(-18) + (-6)/27. Let r = -18 + l. Solve 2/3*o**4 + 0*o + 0*o**3 + 2/3 - 4/3*o**r = 0.
-1, 1
Suppose 25 = 4*i + i. Solve 3/4*k**3 - 3/4*k**i + 0*k + 0*k**2 + 0 + 0*k**4 = 0.
-1, 0, 1
Let m be ((-905)/(-90))/((-2)/28). Let o = m + 141. Find r, given that o*r**2 + 4/9*r + 2/9 = 0.
-1
Factor -8/3*d + 1/3*d**2 + 16/3.
(d - 4)**2/3
Suppose -6 = -0*b + 3*b, -2*b - 4 = -3*h. Determine c so that h + 2/9*c**5 + 2/9*c**3 - 4/9*c**4 + 0*c + 0*c**2 = 0.
0, 1
Let d = 4 + 0. Factor -2*i**3 + i**d + i**3 + 5*i**3 - 3*i**3