*l**3. Suppose m(o) = 0. What is o?
-2, 0, 1
Let m = 3089/5 - 617. Factor -2/5*k**3 + 4/5*k**2 - m + 2/5*k.
-2*(k - 2)*(k - 1)*(k + 1)/5
Let q = 68 + -196/3. Find y, given that 3*y**4 + 5/3*y**2 - q*y - 4/3 + 6*y**3 = 0.
-1, -2/3, 2/3
Let t(z) be the second derivative of z**9/1008 - z**8/280 + z**7/280 + z**3/6 - 4*z. Let m(v) be the second derivative of t(v). Factor m(p).
3*p**3*(p - 1)**2
Let g be -2*(-2 + 3)/(-2). Suppose 0 = 3*a - f - g, -a + 2*f = -4*a + 16. Solve a*t**2 - t**2 - 2*t**2 = 0 for t.
0
Suppose 0 = 3*p - 12, -5*p + 0 = -3*h - 17. Let w(v) = v**4 - v**3 + 6*v**2 + v - 7. Let o(n) = n**4 - n**3 + n - 1. Let k(z) = h*w(z) - 3*o(z). Factor k(u).
-2*(u - 2)*(u - 1)*(u + 1)**2
Let l(s) = -s + 3*s - 3*s + 1. Let j(c) be the second derivative of c**4/6 + c**3 - 4*c**2 - 3*c. Let r(d) = j(d) + 12*l(d). Factor r(z).
2*(z - 2)*(z - 1)
Let k = -5 + 9. Factor 2*f**5 - 2*f**4 - k*f - 2*f**4 + 2*f + 4*f**2.
2*f*(f - 1)**3*(f + 1)
Suppose -3 = -4*m + 5. Find s, given that -s**3 - m*s**3 - 1 + 2*s**2 + 1 + s**4 = 0.
0, 1, 2
Let q(t) be the second derivative of -t**9/52920 + t**7/8820 + t**4/3 - t. Let j(g) be the third derivative of q(g). Factor j(l).
-2*l**2*(l - 1)*(l + 1)/7
Let j = -370 + 373. Suppose -8/3*i**4 + 4/9*i - 2/3*i**2 - 34/9*i**j + 0 = 0. What is i?
-1, -2/3, 0, 1/4
Suppose 0 = b - 3, -5*b = 3*m - 6*m - 9. Find p such that -1/2*p + 1/2*p**m + 0 = 0.
0, 1
Let w(j) be the first derivative of 2*j**3/15 + 8*j**2/5 + 24*j/5 - 10. Solve w(h) = 0 for h.
-6, -2
Let o(q) = -q**2 + 5. Let i(c) = -1. Let r(m) = 4*i(m) + o(m). Determine g so that r(g) = 0.
-1, 1
Determine g so that -1/10*g**4 + 2/5 + 1/5*g**3 + 3/10*g**2 - 4/5*g = 0.
-2, 1, 2
Let d = -30 + 35. Let n(h) be the third derivative of 0*h**3 + h**2 + 0*h - 1/6*h**4 - 1/30*h**d + 0. Suppose n(u) = 0. Calculate u.
-2, 0
Let w(l) = 43*l**3 - 80*l**2 - 153*l - 28. Let y(f) = 171*f**3 - 320*f**2 - 611*f - 111. Let k(n) = -9*w(n) + 2*y(n). Factor k(h).
-5*(h - 3)*(h + 1)*(9*h + 2)
Let k(l) be the third derivative of l**8/112 - l**7/105 - l**6/40 + l**5/30 + l**2. Factor k(f).
f**2*(f - 1)*(f + 1)*(3*f - 2)
Let p be (-1 - -2)/(1/9). Let g(d) = 3*d - 10. Let b be g(4). Factor -2*m**b + 3*m**4 - p*m**3 + 2*m + 5*m**5 + 2*m**3 - m**2.
m*(m - 1)*(m + 1)**2*(5*m - 2)
Let o(w) = -9*w**4 - 24*w**3 - 54*w**2 + 24*w - 9. Let g(l) = -2*l**4 - 5*l**3 - 11*l**2 + 5*l - 2. Let r = 25 - 49. Let q(a) = r*g(a) + 5*o(a). Factor q(p).
3*(p - 1)**2*(p + 1)**2
Suppose -4*j - j + 5*o = -30, -5*o = -3*j + 24. Determine d, given that 0*d + 0*d**j - 2/3*d**4 - 2/3 + 4/3*d**2 = 0.
-1, 1
Let a = -55 - -58. Factor 2/3*g**2 + 2/9 + 2/3*g + 2/9*g**a.
2*(g + 1)**3/9
Let 0*w**2 - w**4 - 6*w**3 + 24*w + 0*w**4 + 71 - 87 - w**2 = 0. Calculate w.
-4, 1
Let q be (-42)/(-8) + 1/(-4). Suppose 4*v + 13 = 5*v + 3*f, -q*v - 3*f = -29. Find m, given that 1/3*m**5 + 1/3*m + 2*m**3 + 4/3*m**v + 4/3*m**2 + 0 = 0.
-1, 0
Let j(k) be the second derivative of -k**6/6 - 2*k**5 - 25*k**4/12 + 125*k**3/3 - 18*k. Let j(q) = 0. Calculate q.
-5, 0, 2
Let k(g) = 5*g**4 - g**3 - 21*g**2 - 15*g - 4. Let j(v) = 55*v**4 - 10*v**3 - 230*v**2 - 165*v - 45. Let u(r) = -4*j(r) + 45*k(r). Determine n so that u(n) = 0.
-1, 0, 3
Let w = 149/286 - 3/143. Solve w*l**2 + 3/2 - 2*l = 0.
1, 3
Let o = -8 - -9. Let b be 5 - o - 0/5. What is r in -37/3*r**2 - 3*r**b + 10*r**3 - 4/3 + 20/3*r = 0?
2/3, 1
Let t(c) = 2*c - 3. Let u be t(4). Suppose 3*z - 7 = s, 0 = 4*s + s - 5*z + u. Let -b**s + 4/3*b - 1/3 = 0. Calculate b.
1/3, 1
Let a(g) be the second derivative of -g**7/21 + g**6/3 - 9*g**5/10 + 7*g**4/6 - 2*g**3/3 - 23*g. Factor a(z).
-2*z*(z - 2)*(z - 1)**3
Let z be (14/84)/((-1)/(-10)). Solve -z*s**3 - 16/3*s**2 - 4/3*s + 25/3*s**4 + 0 = 0.
-2/5, 0, 1
Let h(n) be the first derivative of 2/5*n**2 + 14/15*n**3 + 0*n + 1 + 4/5*n**4 + 6/25*n**5. Factor h(i).
2*i*(i + 1)**2*(3*i + 2)/5
Suppose 0 = -2*q - 3*g - 13, 26 = q - g - 4*g. Suppose 3*f = -0*f - 5*x - q, 0 = -4*f - 3*x + 6. Factor 0*m**2 + m**2 + m**f + 0*m**2 - 2*m.
m*(m - 1)*(m + 2)
Let c(x) be the second derivative of -x**5/40 - x**4/24 + 3*x. Factor c(y).
-y**2*(y + 1)/2
Let s be (-46)/(-130) - 30/195. Suppose 1/5 - s*l**2 + 1/5*l - 1/5*l**3 = 0. What is l?
-1, 1
Let q(t) be the third derivative of -t**7/4620 - t**6/660 - t**5/330 - 5*t**3/3 + t**2. Let o(v) be the first derivative of q(v). Find b such that o(b) = 0.
-2, -1, 0
Let u(t) be the second derivative of -t**7/7 + 4*t**6/15 + 2*t**5/5 - t**4 - t**3/3 + 2*t**2 - 9*t. What is r in u(r) = 0?
-1, -2/3, 1
Factor 2*q**5 + 2*q**4 + 15*q**2 + 2*q - 19*q**2 + 0*q**4 - 4*q**3 + 2.
2*(q - 1)**2*(q + 1)**3
Suppose -4*x - 14 + 30 = 0. Let l(w) be the first derivative of 15/7*w**2 + 18/7*w**5 + 3 - 3/14*w**x - 4/7*w - 62/21*w**3. Find r, given that l(r) = 0.
-1, 1/3, 2/5
Let b(o) be the third derivative of o**8/112 + o**7/105 - o**6/30 - o**5/30 + o**4/24 + 11*o**2. Determine h so that b(h) = 0.
-1, 0, 1/3, 1
Let r(k) be the first derivative of 1/30*k**6 + 1/3*k**3 - 1 - 2*k + 0*k**4 - 1/2*k**2 - 1/10*k**5. Let x(q) be the first derivative of r(q). Factor x(h).
(h - 1)**3*(h + 1)
Let x(z) be the third derivative of 5*z**8/504 + z**7/45 - 2*z**6/45 - 2*z**5/45 + 2*z**2. Find t, given that x(t) = 0.
-2, -2/5, 0, 1
Let m(z) be the third derivative of -2/3*z**4 - 2/5*z**5 - 2*z**2 - 1/10*z**6 + 0 + 0*z**3 + 0*z - 1/105*z**7. Factor m(t).
-2*t*(t + 2)**3
Let m(q) = -q**3 - 4*q**2 + 3*q + 6. Let z be m(-5). Solve -4*b + 3*b**2 - z*b + 7*b**4 + 3*b**2 - 8 + 23*b**3 - 8*b = 0 for b.
-2, -2/7, 1
Let p be 4 + -2 + (3 - 3). Let b be ((-8)/(-18))/p*3. Let d + 1/3*d**2 - b + 1/3*d**4 - d**3 = 0. Calculate d.
-1, 1, 2
Let j(i) be the second derivative of 0*i**2 + 2/39*i**3 + 10*i + 0 + 1/78*i**4. Find p, given that j(p) = 0.
-2, 0
Solve 0 + 3/4*s**5 + 3/4*s**2 + 9/4*s**3 + 0*s + 9/4*s**4 = 0 for s.
-1, 0
Let k(b) be the second derivative of -b**7/21 + b**6/15 + b**5/10 - b**4/6 + 27*b. Factor k(a).
-2*a**2*(a - 1)**2*(a + 1)
Let b be (-30)/50 - 19/(-30). Let f(m) be the second derivative of b*m**5 - 4*m + 1/63*m**7 + 0*m**2 + 2/45*m**6 + 0*m**3 + 0*m**4 + 0. Factor f(i).
2*i**3*(i + 1)**2/3
Factor -8/5*m + 2 - 2/5*m**2.
-2*(m - 1)*(m + 5)/5
Let l be 124/(-2)*3/(-139). Let a = l + -2/417. Solve -a*c - 34/3*c**4 - 22/3*c**2 - 14*c**3 + 0 - 10/3*c**5 = 0 for c.
-1, -2/5, 0
Suppose -2*s - 3 = -3*y + 1, 0 = 5*s - 5*y. Let k(g) be the second derivative of 2*g - 3/4*g**s - 1/2*g**2 + 0 - g**3. Factor k(b).
-(3*b + 1)**2
Let w(f) be the third derivative of f**6/60 + f**5/5 - 11*f**2. Solve w(q) = 0 for q.
-6, 0
Let j(n) be the third derivative of -n**7/840 + n**6/480 + n**5/80 - 5*n**4/96 + n**3/12 + 36*n**2. Factor j(c).
-(c - 1)**3*(c + 2)/4
Let l = 4 - 0. Suppose -n**2 + 5*n**2 - 2*n**3 + 2*n**5 - 4*n**l + 0*n**2 = 0. Calculate n.
-1, 0, 1, 2
Let p(q) be the first derivative of -1/24*q**4 + 1/80*q**5 + q + 1 + 0*q**2 + 1/24*q**3. Let w(s) be the first derivative of p(s). Factor w(h).
h*(h - 1)**2/4
Let a be -1*(5 - -4)/3. Let v be a/15*(-30)/4. Let -3/2*o + 9/2*o**2 + v*o**3 - 3 - 3/2*o**4 = 0. Calculate o.
-1, 1, 2
Let h(w) = w**3 + w**2 - 2*w. Let u(d) = 3*d - 3*d**2 - 6*d + 2*d**3 + 4*d**2. Let t(z) = -10*h(z) + 6*u(z). Factor t(m).
2*m*(m - 1)**2
Let r(m) = m**4 - 10*m**3 + 7*m**2 + 6*m. Let d(b) = -9*b**4 + 81*b**3 - 57*b**2 - 48*b. Let i(s) = 4*d(s) + 33*r(s). Let i(c) = 0. Calculate c.
-2, -1, 0, 1
Let v be -4 - 2*9/(-6). Let h = v - -1. Suppose -2/9*n**3 + 0 + 2/9*n + h*n**2 = 0. Calculate n.
-1, 0, 1
Let k(j) = -4*j**4 - 2*j**3 - j + 1. Let d(h) = 7*h**4 + 4*h**3 + h - 2. Let g(n) = 3*d(n) + 5*k(n). Factor g(t).
(t - 1)*(t + 1)**3
Let n(p) be the first derivative of 0*p - 3 + 1/2*p**4 - 4/3*p**3 + p**2. Factor n(i).
2*i*(i - 1)**2
Let s(l) be the first derivative of l**4/12 + 2*l**3/3 + 2*l**2 - 4*l - 2. Let v(r) be the first derivative of s(r). Find u, given that v(u) = 0.
-2
Let f(n) be the first derivative of n**6/3 - 2*n**5 + 9*n**4/2 - 14*n**3/3 + 2*n**2 + 1. Factor f(k).
2*k*(k - 2)*(k - 1)**3
Suppose 3*b + 4*x = -2*b + 18, 4*b + x = 10. Let r be -2*((-5)/2 - -1). Factor -r + 1 + 2*u + u**2 - b*u**3 + u**2.
-2*(u - 1)**2*(u + 1)
Let y(r) = -r + 6. Let x be y(4). Find k such that -k**4 + 2*k**x + 0*k**4 + 2*k**4 - 3*k**2 = 0.
-1, 0, 1
Let q(r) be the thi