-2/3, 0
Determine m so that 1 - 11*m**5 + 6*m**4 + 16*m**2 + 9*m + 14*m**3 + 12*m**5 + 1 = 0.
-2, -1
Suppose -28 = 3*z + 5*l, 5*l + 3 = -2*z - 19. Let i(m) = -6*m**2 + 12*m. Let q(x) = -x**2 + 2*x. Let n(f) = z*i(f) + 39*q(f). Factor n(r).
-3*r*(r - 2)
Let n be (1/2)/((-7)/126). Let h be (-4)/(-6) + (-21)/n. Find m such that 3*m**3 + 3*m - 3*m - 5*m**h + 2*m = 0.
-1, 0, 1
Let c(t) = t**3 - t**2 - t + 1. Let o(p) = 8*p**3 - 7*p**2 - 9*p + 9. Let s(y) = 18*c(y) - 2*o(y). Factor s(i).
2*i**2*(i - 2)
Let o(y) be the second derivative of 3*y + 0*y**2 - 1/42*y**4 + 0 + 0*y**3. Let o(j) = 0. What is j?
0
Let g = 479/705 + -3/235. Suppose -g*t**2 - 8/3 + 8/3*t = 0. What is t?
2
Let f(r) be the third derivative of -2*r**7/735 + r**6/210 + r**5/105 - r**4/42 - 7*r**2. Factor f(m).
-4*m*(m - 1)**2*(m + 1)/7
Suppose -131 = -11*p - 109. Suppose s = 3*s - 6. Let 1/4*l**5 - 3/4*l**4 + 0*l - 1/4*l**p + 0 + 3/4*l**s = 0. What is l?
0, 1
Let v = -3 - -3. Suppose 0*z + v*z - 7*z**2 + z**3 + 3*z**5 - 5*z**4 + 8*z**2 = 0. Calculate z.
-1/3, 0, 1
Let r(y) be the first derivative of 3/5*y**2 - 7/15*y**6 + 28/15*y**3 + 2/5*y**4 - 4/5*y + 3 - 24/25*y**5. Determine n so that r(n) = 0.
-1, 2/7, 1
Let y(s) be the first derivative of -5*s**6/24 + 7*s**5/4 - 95*s**4/16 + 125*s**3/12 - 10*s**2 + 5*s + 11. Let y(m) = 0. Calculate m.
1, 2
Let k be (-6)/(-4) + (-33)/22. Let q(i) be the first derivative of 1/14*i**4 + 0*i**3 - 1/7*i**2 + k*i - 2. Factor q(h).
2*h*(h - 1)*(h + 1)/7
Let m = 1 - -3. Determine d so that 0*d**4 + 5*d**4 - 3*d**m - d**2 + 5*d**4 + 6*d**5 = 0.
-1, -1/2, 0, 1/3
Suppose -2*n + 26 = 3*w, -10 = -3*w - 0*n + 2*n. Factor -2/3*h**2 - 4*h - w.
-2*(h + 3)**2/3
Solve 9/7 + 0*i - 1/7*i**2 = 0.
-3, 3
Let j(x) be the first derivative of -x**6/36 - 2*x**5/15 - x**4/6 + x**3/9 + 5*x**2/12 + x/3 + 8. Factor j(z).
-(z - 1)*(z + 1)**3*(z + 2)/6
Let w(j) be the second derivative of -j**6/10 - 3*j**5/20 + 9*j**4/4 - 11*j**3/2 + 6*j**2 - 4*j - 1. Suppose w(x) = 0. Calculate x.
-4, 1
Let b be (-1)/(-2)*0/1. Determine x so that b - x**5 + 12/5*x**4 + 2/5*x**2 - 9/5*x**3 + 0*x = 0.
0, 2/5, 1
Suppose -6/7 - 3*u + 60/7*u**2 - 33/7*u**3 = 0. What is u?
-2/11, 1
Let t(n) be the first derivative of 2*n**6/9 + 8*n**5/15 - 8*n**3/9 - 2*n**2/3 + 10. Find v, given that t(v) = 0.
-1, 0, 1
Factor -2*z**2 + 3*z**2 + 3*z - z**2 + 3*z**2.
3*z*(z + 1)
Let z(i) be the first derivative of -i**7/14 - i**6/5 + i**4/2 + i**3/2 + 4*i - 3. Let j(k) be the first derivative of z(k). Factor j(y).
-3*y*(y - 1)*(y + 1)**3
Suppose 5*d - 2*d = 0. Factor 0 + 4/7*l**4 + 2/7*l**5 + 0*l**2 + 2/7*l**3 + d*l.
2*l**3*(l + 1)**2/7
Find y such that 6/5*y**2 - 6/5 + 2/5*y - 2/5*y**3 = 0.
-1, 1, 3
Let l(i) be the second derivative of i**4/4 + 3*i**3/2 + 3*i**2 + 4*i. Find g, given that l(g) = 0.
-2, -1
Let f be 0/(-3 + 1) + (-2)/(-7). Determine u, given that 4/7 + f*u - 2/7*u**2 = 0.
-1, 2
Let t(w) = -w**2 - w. Suppose 0*j - 3 = -j + u, -2*u = j. Let x be 6/(j - 5) - -7. Let d(v) = 6*v**2 + 4*v. Let h(o) = x*t(o) + d(o). Let h(b) = 0. Calculate b.
0, 1
Factor -2*c - 36*c**2 - 16*c**4 - 3*c + 2*c + 4 - c - 44*c**3.
-4*(c + 1)**3*(4*c - 1)
What is a in 9/5*a + 6/5 - 12/5*a**3 + 3/5*a**5 - 6/5*a**2 + 0*a**4 = 0?
-1, 1, 2
Let q = -43/4 - -133/12. Factor q*n + 1/6*n**2 + 1/6.
(n + 1)**2/6
Let z(p) = -2*p**3 - 2*p**2. Let m(q) = -q**3 - 3*q**3 - 2*q**2 + 2*q**3. Let h(n) = -3*m(n) + 2*z(n). Suppose h(w) = 0. Calculate w.
-1, 0
Let t(s) be the second derivative of -5*s**4/42 - 11*s**3/21 - 2*s**2/7 + 24*s. Factor t(k).
-2*(k + 2)*(5*k + 1)/7
Factor 16/3 - 4/3*f**2 + 0*f.
-4*(f - 2)*(f + 2)/3
Let u = -65 - -37. Let y be (8/u)/((-1)/7). Factor 1/4*b**3 + 0*b**y - 1/4*b + 0.
b*(b - 1)*(b + 1)/4
Let l be (-96)/(-297) - 2/(-9). Let 2/11*a**2 + 4/11*a**4 + 0*a + l*a**3 + 0 = 0. What is a?
-1, -1/2, 0
Let q(k) be the third derivative of k**5/135 - k**4/36 + k**3/27 + 18*k**2. Let q(n) = 0. What is n?
1/2, 1
Let n(h) = -h**2 + h - 1. Let v(r) = 4*r**4 + 8*r**3 - 20*r**2 - 24*r - 24. Let m(j) = -8*n(j) + v(j). Let m(g) = 0. What is g?
-2, -1, 2
Suppose -5*c = -35*c + 60. Suppose -27/7*x + 0 + 9/7*x**c + 15/7*x**3 + 3/7*x**4 = 0. What is x?
-3, 0, 1
Let z be (-8)/2 + (-222)/(-54). Let q(x) be the third derivative of 1/36*x**5 - 1/24*x**4 - z*x**3 + 2*x**2 + 0 + 0*x. Factor q(j).
(j - 1)*(5*j + 2)/3
Let b(m) be the first derivative of -5*m**6/6 + m**5 + 15*m**4/2 - 70*m**3/3 + 55*m**2/2 - 15*m - 2. Factor b(n).
-5*(n - 1)**4*(n + 3)
Suppose -45 - 69 = 2*b. Let i be b/(-21) + (-4)/(-14). Factor -2*g**i + g - g + g**2 + g**4.
g**2*(g - 1)**2
Let w(b) = -8*b**4 + 15*b**3 - 32*b**2 + 16*b - 11. Let z(t) = 9*t**4 - 15*t**3 + 33*t**2 - 15*t + 12. Let h(a) = -6*w(a) - 5*z(a). Factor h(m).
3*(m - 2)*(m - 1)**3
Let z be (-4 + 65/20)/((-1)/4). Factor 9/5*u**2 + 7/5*u + 2/5 + 1/5*u**4 + u**z.
(u + 1)**3*(u + 2)/5
Let b be ((-6)/18)/((-1)/18). Let y = -4 + b. Solve 6*z**2 - 4*z + 2*z + z + 2*z**3 - z - 4 - y*z**4 = 0.
-1, 1, 2
Let s(h) be the second derivative of 2/27*h**3 + 1/9*h**2 + 2*h + 1/54*h**4 + 0. Factor s(z).
2*(z + 1)**2/9
Suppose l - 6*l + 15 = 0. Solve -27*v**2 - 15*v**4 - v**3 + 22*v**3 + 6*v + 11*v**3 + 4*v**l = 0.
0, 2/5, 1
Let f = -56 - -227/4. Factor -3/4*c - f*c**5 + 3/2*c**3 + 0*c**4 + 0*c**2 + 0.
-3*c*(c - 1)**2*(c + 1)**2/4
Let x(t) be the second derivative of 0*t**2 + 0*t**4 - 3*t + 0 - 1/40*t**5 + 1/40*t**6 + 5/168*t**7 + 0*t**3. Factor x(k).
k**3*(k + 1)*(5*k - 2)/4
Let j = -452/3 + 1811/12. Factor 0*t**4 + 0*t**2 - j*t**5 + 0*t + 0 + 1/4*t**3.
-t**3*(t - 1)*(t + 1)/4
Let s be ((-20)/12 - -2)*6/4. Find p such that 1/2 + s*p**2 + p = 0.
-1
Let a be (-2 + (-39)/(-18))*1*3. Let -a*j**2 - 1/2 + j = 0. Calculate j.
1
Suppose 0*h - 5*h = -25. Find q such that q**4 - 4*q**3 + 3*q**5 + 0*q**3 + q**3 - 2*q**5 - 2*q - h*q**2 = 0.
-1, 0, 2
Let r(j) be the third derivative of j**5/360 + j**4/36 + j**3/12 - 6*j**2. Factor r(y).
(y + 1)*(y + 3)/6
Suppose 0 = -0*o - o + 4. Let l(d) be the first derivative of -1/8*d**o + 1/2*d**3 + 2 - 3/4*d**2 + 1/2*d. Solve l(a) = 0 for a.
1
Let m(b) = -5*b**2 - 6*b + 2. Let l(x) = -21*x**2 - 24*x + 9. Let k(i) = 2*l(i) - 9*m(i). Factor k(y).
3*y*(y + 2)
Let c(m) = 3*m**4 + 12*m**3 + 5*m**2 + 7*m - 7. Let n(a) = -a**4 - 4*a**3 - 2*a**2 - 2*a + 2. Let x(r) = -2*c(r) - 7*n(r). Determine f, given that x(f) = 0.
-2, 0
Let a(t) be the first derivative of -t**9/3024 + t**8/840 - t**7/840 - 2*t**3/3 - 4. Let z(l) be the third derivative of a(l). Determine s, given that z(s) = 0.
0, 1
Let p(h) be the second derivative of -h**5/120 - h**4/72 + 6*h. Let p(o) = 0. Calculate o.
-1, 0
Factor -2/13*s**3 + 0 + 4/13*s**2 - 2/13*s.
-2*s*(s - 1)**2/13
Factor 8/5*z + 1922/5*z**3 - 248/5*z**2 + 0.
2*z*(31*z - 2)**2/5
Let p = 95/406 + 3/58. Factor 0 - 2/7*y**4 - 6/7*y**2 + p*y + 6/7*y**3.
-2*y*(y - 1)**3/7
Let t be -2 - 3/((-6)/4). Suppose 3*f - 1 = -4*c - 9, t = 5*c + 10. Factor 1/2*r**5 + f + 0*r**2 - r**4 + 1/2*r**3 + 0*r.
r**3*(r - 1)**2/2
Let s(p) be the first derivative of -p**5/25 + p**4/20 + p**3/5 - p**2/10 - 2*p/5 + 2. Factor s(w).
-(w - 2)*(w - 1)*(w + 1)**2/5
Let r(u) = 11*u - 31. Let z be r(3). Suppose 0*c - 2*c**4 + 0 + 4/3*c**3 + 2/3*c**5 + 0*c**z = 0. What is c?
0, 1, 2
Let q(v) be the third derivative of -v**5/30 - 7*v**4/12 + 22*v**2. Factor q(f).
-2*f*(f + 7)
Let d(t) be the third derivative of t**5/15 + 7*t**4/3 + 98*t**3/3 + 8*t**2. Find u such that d(u) = 0.
-7
Factor -48*v**3 + 85*v**3 - 39*v**3 + 6*v**2.
-2*v**2*(v - 3)
Let k(o) be the first derivative of -o**4/6 + 26*o**3/3 - 169*o**2 + 4394*o/3 + 45. Factor k(x).
-2*(x - 13)**3/3
Let j(l) be the first derivative of l**5/70 + 2*l**4/21 + l**3/7 + 5*l - 1. Let i(o) be the first derivative of j(o). Factor i(r).
2*r*(r + 1)*(r + 3)/7
Let y(k) be the second derivative of 0*k**6 - 3*k - 1/60*k**5 + 0 + 0*k**4 + 0*k**3 + 1/126*k**7 + 0*k**2. Solve y(n) = 0 for n.
-1, 0, 1
Suppose 11*o - 150 = 6*o. Suppose -2*n = -3*n - 5*l + o, 0 = -3*n - 4*l + 35. Find p such that 1/3*p**4 + 0 + 0*p**2 - p**n + 2/3*p**3 + 0*p = 0.
-2/3, 0, 1
Suppose 2*h = -4*a - 12, a = 3*a + 5*h + 14. Let w = a - -5. Factor 2 - w - 4*p**3 + 1 + 6*p**2 - 2*p.
-2*p*(p - 1)*(2*p - 1)
Let h(j) be the first derivative of j**3/3 + 3*j**2/2 - j + 4. Let c be h(-4). Solve 0*q**2 - 2/9*