 1)*(x + 3)/13
Let y = 0 + -1. Let d = -11 + 19. Let q(j) = -2*j**3 + 2*j**2. Let a(h) = h**2 - 1. Let s(w) = d*a(w) + y*q(w). Suppose s(n) = 0. What is n?
-2, 1
Find c such that 0*c**2 + 0 + 1/7*c**5 + 0*c - 1/7*c**4 + 0*c**3 = 0.
0, 1
Let y(i) = i**2 - 8*i - 20. Let g be y(10). Suppose 1/2 + d - d**3 + g*d**2 - 1/2*d**4 = 0. What is d?
-1, 1
Let w(l) = -2*l**2 - 20*l + 3. Let z be w(-10). Factor -3*c**2 + 3 + 3/2*c**z - 3/2*c.
3*(c - 2)*(c - 1)*(c + 1)/2
Let n(f) be the second derivative of f**6/180 - f**5/30 + f**4/12 - f**3/9 + f**2/12 + 11*f. Solve n(x) = 0 for x.
1
Let v(m) = 2*m**2 - 4*m + 4. Let s be v(2). Suppose -6 = g - 2*y, s*g - y = -0*g + 4. Solve 0 + 0*i**g - 1/4*i + 1/4*i**3 = 0.
-1, 0, 1
Let w(j) be the first derivative of -3/7*j**2 - 4 + 2/7*j**3 + 2/7*j - 1/14*j**4. Solve w(l) = 0.
1
Let h = -62 - -65. Let a(t) be the first derivative of 3/5*t**5 + 3/2*t**2 + 0*t - 4 + 9/4*t**4 + h*t**3. Suppose a(u) = 0. Calculate u.
-1, 0
Determine g, given that 8*g**2 - 8*g**2 - g**2 = 0.
0
Let k(s) = -s**2 + s - 1. Let q(f) = -2*f**4 - 4*f**3 + 10*f**2 - 6*f + 12. Let b(v) = -10*k(v) - q(v). Factor b(w).
2*(w - 1)*(w + 1)**3
Let w(t) = -t**3 + 3*t**2 + t. Let c be w(3). Suppose -4*m + 24 = 4*k, -5*k - 2 = -5*m - 3*k. Solve 0 - 9/5*r**m + 6/5*r + 3/5*r**c = 0 for r.
0, 1, 2
Let 2/7*o**2 - 2/7*o**3 + 2/7*o + 0 - 2/7*o**4 = 0. What is o?
-1, 0, 1
Let d(h) = 8*h**4 - 76*h**3 + 12*h**2 + 44*h - 52. Let o(j) = 3*j**4 - 25*j**3 + 4*j**2 + 15*j - 17. Let s(r) = -5*d(r) + 16*o(r). Find z such that s(z) = 0.
-1, 1, 3/2
Suppose 0 = w + u - 1, 4*u - 18 = 2*w + w. Let o be -3 + 1 + 3 - w. Factor 0*r - r + o*r**2 - 2*r**2.
r*(r - 1)
Find d, given that 3/7*d - 4/7*d**3 + 0*d**2 - 1/7 = 0.
-1, 1/2
Factor -9/4 - 21/2*p - p**3 - 25/4*p**2.
-(p + 3)**2*(4*p + 1)/4
Let h be (-84)/60 + (-4)/(-10). Let c(b) = 2*b**2 + 6*b. Let f(s) = -s**2 - s. Let d(p) = h*c(p) - 4*f(p). Let d(r) = 0. What is r?
0, 1
Factor -12*i - 16 + 13*i - 25*i - 18*i**2 + 8.
-2*(3*i + 2)**2
Let j be (2 - -1)/1 - 1. Suppose j*r + 2*y + 3 - 5 = 0, -r - 4 = -4*y. Factor 2/3*q**2 + r*q - 2/3.
2*(q - 1)*(q + 1)/3
Factor 2*j**3 + 4/5*j**2 + 0 + 0*j + 4/5*j**4.
2*j**2*(j + 2)*(2*j + 1)/5
Let r(x) be the third derivative of 0*x**5 + 0*x - 1/42*x**7 - 25/1344*x**8 + 0 - 1/120*x**6 + 0*x**4 + 3*x**2 + 0*x**3. Find w, given that r(w) = 0.
-2/5, 0
Let k(h) be the second derivative of 5*h + 0 - 1/16*h**4 + 1/12*h**3 + 0*h**2 + 1/80*h**5. Factor k(o).
o*(o - 2)*(o - 1)/4
Let k(g) be the second derivative of 0*g**2 - 1/50*g**5 + 0 + 3*g + 1/15*g**3 + 0*g**4. Factor k(p).
-2*p*(p - 1)*(p + 1)/5
Let i(y) = -4*y**2 + 12*y - 12. Let s(h) = -12*h**2 + 35*h - 37. Let v(b) = -14*i(b) + 4*s(b). Suppose v(f) = 0. Calculate f.
1, 5/2
Let o(u) be the third derivative of -u**6/360 + u**5/120 + u**4/12 - u**3/2 - 2*u**2. Let k(m) be the first derivative of o(m). Find s, given that k(s) = 0.
-1, 2
Let q be 5/15*(-159)/(-1). Suppose 4*t = 809 - q. Find k such that 350*k**5 + 216*k**4 + t*k**3 - 16*k + 40*k**2 - 746*k**4 - 33*k**3 = 0.
-2/7, 0, 2/5, 1
Let b be (2 + -3)/(5/(-10)). Let m(j) be the second derivative of -1/60*j**6 + 0*j**b - 1/20*j**5 + 0*j**4 - j + 0*j**3 + 0. What is t in m(t) = 0?
-2, 0
Let n(j) = 3*j**4 + 2*j**3 + 3*j**2 + 2*j + 2. Let b(s) = -19*s**4 - 11*s**3 - 17*s**2 - 12*s - 13. Let a(m) = 6*b(m) + 39*n(m). Factor a(o).
3*o*(o + 1)**2*(o + 2)
Let v(z) be the second derivative of 0*z**2 + 0 + 8*z + 1/12*z**3 + 1/24*z**7 + 13/48*z**4 + 23/120*z**6 + 27/80*z**5. Solve v(p) = 0.
-1, -2/7, 0
Let h(g) be the first derivative of -g**5/10 + g**4 - 7*g**3/2 + 11*g**2/2 - 4*g + 15. Factor h(r).
-(r - 4)*(r - 2)*(r - 1)**2/2
Let p(a) be the second derivative of 1/8*a**4 + 3/8*a**2 + 1/3*a**3 + 0 + 3*a - 1/120*a**6 + 0*a**5. Let p(z) = 0. Calculate z.
-1, 3
Let p be (10/75)/((-8)/(-10)). Let m(u) be the first derivative of p*u**3 - 1/4*u - 2 + 0*u**2 - 1/20*u**5 + 0*u**4. Determine w so that m(w) = 0.
-1, 1
Let n = 545/2952 - 7/41. Let v(j) be the third derivative of 0*j - 1/45*j**5 + 1/90*j**6 + n*j**4 + j**2 + 0*j**3 + 0. Determine w, given that v(w) = 0.
0, 1/2
Let l(k) be the second derivative of 5*k**4/36 - 5*k**3/3 + 25*k**2/6 + 13*k. Determine a, given that l(a) = 0.
1, 5
Factor 24/7 - 3/7*r**2 - 3*r.
-3*(r - 1)*(r + 8)/7
Let x(i) = -i + 1. Let g be x(-1). Let p = g - 2. Factor 2*l + 2*l**4 - l - 3*l**4 + 3*l**3 + p*l**4 - 3*l**2.
-l*(l - 1)**3
Let s(c) be the second derivative of -1/105*c**7 + c - 1/20*c**6 + 0*c**5 + 0 + 0*c**3 + 1/3*c**4 - c**2. Let m(i) be the first derivative of s(i). Factor m(l).
-2*l*(l - 1)*(l + 2)**2
Let j be 8 + (-40)/(-30) - 6. Factor 4*l**2 + 2/3*l**4 - 8/3*l - 16/3 + j*l**3.
2*(l - 1)*(l + 2)**3/3
Factor 7*v**2 + 17*v**2 - 6*v**3 + 0*v**2 + 2*v**3.
-4*v**2*(v - 6)
Suppose 5*c = 9 + 1. Let z(u) be the second derivative of 2/21*u**3 + 0 + 0*u**4 - 1/35*u**5 + 1/7*u**2 - 1/105*u**6 - c*u. Suppose z(a) = 0. What is a?
-1, 1
Let c(o) = 2. Let y(z) = 3*z**2 - 48. Let h(n) = -18*c(n) - y(n). Factor h(k).
-3*(k - 2)*(k + 2)
Suppose -14*c + 17 = -11. Factor -2/7*n**c - 2/7 + 4/7*n.
-2*(n - 1)**2/7
Let m(n) = -n**5 - n**3 - n**2 - n. Let j(k) = -6*k**5 + 24*k**4 + 57*k**3 + 75*k**2 + 42*k + 12. Let p(x) = j(x) - 9*m(x). Suppose p(y) = 0. Calculate y.
-4, -1
Let z(c) be the second derivative of c**6/90 - c**5/45 - c**4/9 - 9*c**2/2 - 6*c. Let a(u) be the first derivative of z(u). Factor a(w).
4*w*(w - 2)*(w + 1)/3
Let a(q) = q**3. Let f(n) = -4*n**3 + 3*n**2 + 4*n. Let r(o) = 3*a(o) + f(o). Determine t, given that r(t) = 0.
-1, 0, 4
Let d(k) be the first derivative of k**3/21 - 3*k**2/14 + 2*k/7 + 1. Solve d(l) = 0 for l.
1, 2
Let l = 16 - -6. Let b(s) = s**2 - s - 1. Let q(n) = -16*n**2 + 9*n + 11. Let c(w) = l*b(w) + 2*q(w). Factor c(p).
-2*p*(5*p + 2)
Suppose 4*f - 20 = 4*l, -5*l + 2*l + 3 = 3*f. Let o(b) be the first derivative of -b**2 - 4/3*b - 2/9*b**3 + f. Suppose o(t) = 0. Calculate t.
-2, -1
Let c be 1/7*(-21)/(-18). Let s(x) be the second derivative of 1/3*x**3 - c*x**4 - 2*x + x**2 - 1/10*x**5 + 0. Determine z so that s(z) = 0.
-1, 1
Let k = 113 + -299/3. Let -20*t**2 - 10/3*t**3 + 14/3*t**4 + 16/3 + k*t = 0. Calculate t.
-2, -2/7, 1, 2
Let q(o) be the second derivative of 0*o**3 + 0 + 0*o**2 - o + 0*o**4 + 1/130*o**5 + 0*o**6 - 1/273*o**7. Suppose q(p) = 0. What is p?
-1, 0, 1
Let x = 20 + -18. Let i(o) be the third derivative of -1/6*o**4 - 1/30*o**5 - 1/3*o**3 + 3*o**x + 0*o + 0. Determine p so that i(p) = 0.
-1
Let p(f) be the second derivative of -f**4/6 + 3*f**3/7 - 2*f**2/7 - 5*f. Suppose p(r) = 0. What is r?
2/7, 1
Factor -5 - 5*i**3 + 25*i**4 - 5*i**2 - 15*i**5 + 1 + 4.
-5*i**2*(i - 1)**2*(3*i + 1)
Let q = 634 + -4429/7. Let n(z) be the first derivative of 2 + 4/7*z + 20/21*z**3 - q*z**2. Suppose n(s) = 0. What is s?
2/5, 1/2
Let i(v) be the third derivative of 1/18*v**4 - 1/30*v**5 - 1/18*v**3 + 0*v + 5*v**2 + 0 - 1/630*v**7 + 1/90*v**6. Let i(z) = 0. Calculate z.
1
Determine h so that 0*h**2 + 1/5*h**3 - 3/5*h + 2/5 = 0.
-2, 1
Let o(b) be the first derivative of -b**6/60 - b**5/10 + 4*b**3/3 - b**2 - 1. Let j(z) be the second derivative of o(z). What is t in j(t) = 0?
-2, 1
Let g(j) = -38*j + 155. Let w be g(4). Factor -2/7*i**w + 2/7*i**2 + 0 - 2/7*i**4 + 2/7*i.
-2*i*(i - 1)*(i + 1)**2/7
Let d(o) = 60*o**4 - 266*o**3 + 311*o**2 - 60*o - 11. Let p(z) = -12*z**4 + 53*z**3 - 62*z**2 + 12*z + 2. Let q(u) = -2*d(u) - 11*p(u). Factor q(w).
3*w*(w - 2)**2*(4*w - 1)
Determine o, given that 0 + 10/7*o**3 - 6/7*o**2 - 18/7*o - 2/7*o**4 = 0.
-1, 0, 3
Let a(w) be the third derivative of -w**7/1260 + w**6/180 - w**5/60 + w**4/36 + w**3/2 - 2*w**2. Let q(h) be the first derivative of a(h). Factor q(g).
-2*(g - 1)**3/3
Let f(c) be the first derivative of -c**9/12096 - c**8/6720 + c**7/3360 + c**6/1440 + 5*c**3/3 + 8. Let i(n) be the third derivative of f(n). Factor i(a).
-a**2*(a - 1)*(a + 1)**2/4
Let u = 436 - 434. Suppose -2/3*i**u + 2/3 + 0*i = 0. What is i?
-1, 1
Let p(j) be the second derivative of j**5/90 - j**4/18 + j**3/9 - j**2 + 5*j. Let l(v) be the first derivative of p(v). Solve l(y) = 0 for y.
1
Suppose -5*o + 16 = -3*w, w = -o - 0*o + 8. Let j = 5 - o. Factor 0*m + 0 - 1/2*m**5 + 1/2*m**3 + 0*m**4 + j*m**2.
-m**3*(m - 1)*(m + 1)/2
Find r, given that -6/5