ulate o.
0
Find x such that -14/9*x**4 - 10/3*x**3 - 8/9*x - 2/9*x**5 + 0 - 26/9*x**2 = 0.
-4, -1, 0
Let y = 1722 + -1717. Determine n so that -n**2 + 0 + 1/2*n + 0*n**3 + n**4 - 1/2*n**y = 0.
-1, 0, 1
Suppose -3*b - 39 = -4*n + 8, -3*b + 51 = 3*n. Factor n*g - 8 + 2*g**2 - 6*g**2 - 2*g.
-4*(g - 2)*(g - 1)
Determine j, given that 27378*j**2 + 468*j**3 + 5471611 + 3*j**4 - 439589 + 711828*j + 1908301 = 0.
-39
Let w(v) be the first derivative of -2*v**3/33 - 17*v**2/11 - 60*v/11 - 113. Factor w(u).
-2*(u + 2)*(u + 15)/11
Let p(c) be the third derivative of c**6/30 + 19*c**5/5 + 140*c**4 + 1568*c**3/3 - c**2 - 140*c. Determine l, given that p(l) = 0.
-28, -1
Suppose -7*p = -12*p + 20. Factor -5*d**5 + 11*d**3 + 2*d - 2*d + 10*d**p - 16*d**3.
-5*d**3*(d - 1)**2
Let f be ((-1)/(-3))/(10/60). Let r = 295 - 1179/4. Suppose -1/2*j**3 + 1/4*j**5 - 1/2*j**f + 1/4*j**4 + 1/4*j + r = 0. What is j?
-1, 1
Let l be (-9 - 1) + 2 - 4. Let h(d) = d**2 + 14*d + 27. Let b be h(l). Factor 2*y**2 - 2*y**b - 2/3*y + 0 + 2/3*y**4.
2*y*(y - 1)**3/3
Suppose -3*k - 18 + 0 = 0. Let c be (-11)/(-3) + (-2)/k. Solve -3*z**3 - 6*z**c - 3*z**2 + 9*z**5 + z**2 + 2*z**2 = 0 for z.
-1/3, 0, 1
Let v be 0*-4*(3/(-8))/3. Let -2/7*n**4 + v*n + 0*n**3 + 2/7*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Find i such that 5*i**2 + 3*i**3 + 3*i**2 + i**2 + 36*i + 3 - 27*i = 0.
-1
Let t(p) be the second derivative of 1/42*p**4 + 0 + 0*p**2 + 8*p + 0*p**3 - 1/105*p**6 + 0*p**5. What is f in t(f) = 0?
-1, 0, 1
Let a(q) be the third derivative of -22*q**2 + 0*q - 1/100*q**5 + 0 + 9/20*q**4 - 81/10*q**3. Let a(j) = 0. What is j?
9
Let a(s) be the second derivative of -s**4/54 - 14*s**3/9 - 49*s**2 + 105*s + 2. Factor a(b).
-2*(b + 21)**2/9
Let u(f) be the third derivative of 6*f**2 + 0 + 1/4*f**4 + 1/210*f**7 + 1/18*f**6 + 13/60*f**5 + 0*f + 0*f**3. Factor u(q).
q*(q + 3)**2*(3*q + 2)/3
Factor 0 + 0*g + 0*g**2 + 2/5*g**5 + 0*g**4 - 2/5*g**3.
2*g**3*(g - 1)*(g + 1)/5
What is m in 5/2*m**2 - 105/2 + 50*m = 0?
-21, 1
Let r(p) = 8*p**4 + 15*p**3 + 15*p**2 - 15*p - 13. Let q(t) = 7*t**4 + 15*t**3 + 15*t**2 - 15*t - 14. Let z(c) = -5*q(c) + 4*r(c). Determine v so that z(v) = 0.
-3, -2, -1, 1
Let o(s) be the first derivative of s**6/90 - s**5/30 + s**4/24 - 17*s**3/3 + 17. Let m(y) be the third derivative of o(y). Determine c so that m(c) = 0.
1/2
Let l = 3 - 1. Suppose 4*h = 4, -2*h - 1 = 3*m - 15. Factor -x**m - 3*x**3 + 3*x + 3*x**l + 4*x**4 - 6*x**4.
-3*x*(x - 1)*(x + 1)**2
Suppose -3/7*i**3 - 9/7*i - 15/7*i**2 + 0 + 3/7*i**4 = 0. Calculate i.
-1, 0, 3
Factor -2/13*w**3 + 0 + 0*w**2 - 4/13*w**4 + 0*w - 2/13*w**5.
-2*w**3*(w + 1)**2/13
Let v(q) = q**2 - 8*q - 18. Let t be v(10). Suppose -1/3*s**3 - 5/3*s - 4/3*s**t - 2/3 = 0. What is s?
-2, -1
Let h(r) be the third derivative of -r**8/2016 + r**7/630 + r**6/60 - r**5/9 + 2*r**4/9 - 15*r**2 - 3. Factor h(g).
-g*(g - 2)**3*(g + 4)/6
Let h(k) be the second derivative of -k**6/60 - k**5/10 + k**4/4 + k**3/3 - 5*k**2/4 + 4*k + 2. Factor h(i).
-(i - 1)**2*(i + 1)*(i + 5)/2
Factor 16/5*b**3 + b**2 - 19/5*b + 4/5*b**4 + 6/5.
(b + 2)*(b + 3)*(2*b - 1)**2/5
Suppose -208*t - 18 = -209*t. Let a be (-3 + t/10)*5/(-3). What is l in 8/5*l + 4/5*l**3 + 0 - 12/5*l**a = 0?
0, 1, 2
Suppose l - 5 = -0*l. Let -25*z**2 - 5*z**4 + l*z + 9*z - 4*z + 9*z**3 + 11*z**3 = 0. What is z?
0, 1, 2
Let n(h) be the first derivative of 5*h**3 - 492*h**2 - 396*h + 244. Suppose n(m) = 0. Calculate m.
-2/5, 66
Determine t so that 80 + 546*t - 297*t - 309*t - 9*t**2 + 15*t**3 - 11*t**2 = 0.
-2, 4/3, 2
Let o(f) = -10*f**2 + 33*f + 6. Let l(j) = 2*j - 1. Let a(n) = -6*l(n) - o(n). Factor a(i).
5*i*(2*i - 9)
Factor -10/9*c**2 - 4 - 1/9*c**3 - 11/3*c.
-(c + 3)**2*(c + 4)/9
Suppose 0 = z + 2*z - 2*h - 40, 28 = z + 3*h. Factor 1 + i**4 + 6 + 12*i**2 + 6*i - 6*i**3 - z*i - 4.
(i - 3)*(i - 1)**3
Find x, given that 25*x + 255 + 25*x**2 - 184 - x**3 - 228*x + 468 = 0.
7, 11
Suppose 9*f = 4*f - c - 55, 0 = 2*f - 2*c + 34. Let o be ((-2)/f)/(-5 + (-42)/(-8)). Suppose -b**2 - o + 1/6*b**3 + 3/2*b = 0. Calculate b.
1, 4
Let r = -8 - -20. Let g(m) = m**3 - 29*m**2 + 52*m + 56. Let k be g(27). Factor -6 - 3/2*y**3 - 15/2*y**k - r*y.
-3*(y + 1)*(y + 2)**2/2
Let l = -13456/77 - -1938/11. Suppose -2/7*d**4 - l*d**3 - 16/7*d**2 + 0 - 8/7*d = 0. What is d?
-2, -1, 0
Let a(b) be the third derivative of -15*b**2 + 0 + 29/24*b**6 + 11/6*b**5 + 20/3*b**3 - 5/7*b**7 + 5/48*b**8 + 0*b - 15/2*b**4. Suppose a(w) = 0. What is w?
-1, 2/7, 1, 2
Suppose 10 = 2*v - 5*o, 4*v - 6*o - 12 = -v. Let p(m) be the first derivative of -10 - 2/7*m + 2/35*m**5 + 2/7*m**2 - 1/7*m**4 + v*m**3. Factor p(u).
2*(u - 1)**3*(u + 1)/7
Let r(d) be the third derivative of d**5/330 + 5*d**4/44 - 26*d**2 + 4*d. Factor r(v).
2*v*(v + 15)/11
Let m(u) = -6*u + 170. Let n be m(28). Find t such that 1/4*t**n - 1/2*t + 1/4 = 0.
1
Let a(p) = p**3 - 10*p**2 + p - 5. Let n be a(10). Suppose 374 = 4*x + f + f, -3*f = n*x - 470. Suppose 91 - 3*w**2 - x - 3*w**4 + 6*w**3 = 0. What is w?
0, 1
Let p = 6453 - 122605/19. Factor 2/19*k**4 - 2/19*k**2 + 0 + 2/19*k**3 - p*k.
2*k*(k - 1)*(k + 1)**2/19
Let g(m) be the second derivative of -2/3*m**2 - 11*m + 1/9*m**4 + 0 + 1/9*m**3 - 1/30*m**5. Factor g(s).
-2*(s - 2)*(s - 1)*(s + 1)/3
Factor -646*u - 8*u**3 + 3076*u - 92*u**2 + 431*u**2 + 3645 + 201*u**2 + 48*u**3.
5*(2*u + 9)**3
Let x(q) = -2*q**2 - 2*q. Let a(t) = -7*t**2 - 14*t - 7. Let k(r) = a(r) - 4*x(r). Let k(f) = 0. Calculate f.
-1, 7
Let q be ((-12)/(-15))/(24/60). Let v(k) be the first derivative of 0*k - 1/14*k**4 + 0*k**q + 2/21*k**3 - 4. Factor v(z).
-2*z**2*(z - 1)/7
Let o(n) = -n**2 - 66*n - 65. Let h be o(-65). Solve 0 + 1/5*y**2 + 1/5*y**3 + h*y = 0.
-1, 0
Let y(r) be the second derivative of 2*r**6/45 - r**5/6 + r**4/6 + r**3/9 - r**2/3 - 64*r. Determine p, given that y(p) = 0.
-1/2, 1
Let a = -1327 + 1329. Suppose -1/4*f**4 + 3/4*f**a - 1/4*f + 1/4*f**3 - 1/2 = 0. What is f?
-1, 1, 2
Suppose 4*o = 1239 + 1517. Suppose 1349*v**5 - 323*v**5 + o*v**5 + 880*v**2 + 80*v + 4900*v**4 + 3360*v**3 = 0. Calculate v.
-2, -2/7, 0
Let c be ((-8)/(-12))/(9*3/81). Factor -8/9*s - 2/9*s**5 - 8/9*s**c + 2/3*s**3 + 4/9*s**4 + 0.
-2*s*(s - 2)**2*(s + 1)**2/9
Determine j so that -2/11*j + 24/11 - 2/11*j**2 = 0.
-4, 3
Let u be 7 - (4 + -6 + 3). Let i(g) be the second derivative of -1/5*g**2 + 0 - 37/30*g**4 - 12/25*g**u - 6/5*g**5 - 7*g - 2/3*g**3. Factor i(s).
-2*(2*s + 1)**2*(3*s + 1)**2/5
Let x be ((-9)/14)/((-4773)/301 + (-30)/(-2)). Determine j so that 1/8*j**2 - 7/8 - x*j = 0.
-1, 7
Let k = -20 + 17. Let s be 1 - k*(-3)/(-9). Factor -3*a - 2*a**4 + 5*a + 2*a - 4*a**2 + 10*a**s.
-2*a*(a - 2)*(a + 1)**2
Let s(t) be the second derivative of -250*t**2 + 30*t + 0 + 50/3*t**3 - 5/12*t**4. Suppose s(n) = 0. Calculate n.
10
Let g(i) be the second derivative of i**7/42 - i**6/12 - i**5/12 + 5*i**4/12 + 4*i**2 + 9*i. Let j(c) be the first derivative of g(c). Factor j(z).
5*z*(z - 2)*(z - 1)*(z + 1)
Let y be 2/(-3) - (-33)/9. Suppose -5*s + 5 = -y*m - 17, 0 = -2*m - 8. Factor -s*r**3 - r**2 + r**4 + 4*r**3 - 2*r**4.
-r**2*(r - 1)**2
Suppose -4*f + 4 = -4. Suppose 2*a + g - 11 = -4*g, -3*a + f*g = -7. What is o in -8*o + o**3 + 12*o**2 + 26*o**3 + 12*o**4 - 4*o**a + 9*o**3 = 0?
-2, -1, 0, 1/3
Factor 0 + 1/6*b**3 - 1/3*b**2 + 1/6*b.
b*(b - 1)**2/6
Let u(w) be the second derivative of -w**6/360 + w**5/90 + w**4/24 - w**2/2 - 5*w. Let b(l) be the first derivative of u(l). Find n, given that b(n) = 0.
-1, 0, 3
Let c(a) = -22*a**4 + 5*a**3 + 9*a. Let f(h) = -10*h**4 + 2*h**3 + 4*h. Let y(z) = 4*c(z) - 9*f(z). Factor y(o).
2*o**3*(o + 1)
Let j(g) be the first derivative of -g**4/36 - g**3/9 + g**2/2 - 7*g - 10. Let z(n) be the first derivative of j(n). Factor z(a).
-(a - 1)*(a + 3)/3
Let d be 12*(-12)/(-48) + 2. Factor 81/8*p**d + 0*p - 1/2*p**2 - 117/8*p**4 + 0 + 5*p**3.
p**2*(p - 1)*(9*p - 2)**2/8
Suppose -135*y = -133*y - 4. Let i(a) be the third derivative of 0 + 5*a**y - 3/2*a**4 + 0*a - 4*a**3 - 3/10*a**5 - 1/40*a**6. Solve i(x) = 0 for x.
-2
Solve -243*g**3 + 491*g**3 - 245*g**3 - 3*g + 3*g**2 - 3 = 0.
-1, 1
Factor 1/3*s**2 + 50/3*s + 49/3.
(s + 1)*(s + 49)/3
Let y be 11 - (5 + -3 + -2). Factor y + 2*d - 9*d**2 - 11.
-d*(9*d - 2)
Let o(t) be the first derivative of -5*t**