 3 + 0*o - g*o**2.
-3*(o - 2)*(o + 2)/4
Find d, given that 44*d**4 + 4608*d**2 + 79*d + 4*d**5 + 156*d**4 + 2688*d**3 - 79*d = 0.
-24, -2, 0
Let d(n) = 3*n + 69. Let y be d(0). Let 69 - 2*b - b**2 - b**2 - y = 0. Calculate b.
-1, 0
Let w be ((-14)/(-6) - 2)*(-14)/(-84). Let g(t) be the first derivative of 0*t + 0*t**3 + 1/9*t**2 - w*t**4 - 5. Factor g(y).
-2*y*(y - 1)*(y + 1)/9
Let x(r) be the second derivative of 1/2*r**5 + 5/4*r**4 - 4*r - 1/6*r**6 + 0 - 10/3*r**3 - 10*r**2. Factor x(n).
-5*(n - 2)**2*(n + 1)**2
Factor 440/9*n - 24200/9 - 2/9*n**2.
-2*(n - 110)**2/9
Factor 5/3*i + 1/2 + i**3 + 1/6*i**4 + 2*i**2.
(i + 1)**3*(i + 3)/6
Let m(w) = w - 17. Suppose -6*z + 4*z = -38. Let v be m(z). Factor 2 - v*s + 1/2*s**2.
(s - 2)**2/2
Let o(b) be the second derivative of 2*b**7/21 + 4*b**6/15 - 3*b**5/5 - 59*b. Find d such that o(d) = 0.
-3, 0, 1
Let n = -40708 + 40710. Factor 9/5 + n*f + 1/5*f**2.
(f + 1)*(f + 9)/5
Let b = 4 + -2. Factor a**3 + 1 - a - 18*a**2 + 34*a**2 - 17*a**b.
(a - 1)**2*(a + 1)
What is h in 51*h**4 + 363*h**3 + 92*h**4 - 276*h + 217*h**4 - 459*h**2 + 48*h**5 - 36 = 0?
-6, -2, -1/4, 1
Let y(w) be the third derivative of -w**7/105 - 11*w**6/15 - 121*w**5/5 - 1331*w**4/3 - 14641*w**3/3 + 66*w**2. Let y(f) = 0. Calculate f.
-11
Let u(h) be the second derivative of 1/30*h**5 + 0 + 8/3*h**3 + 17*h - 16/3*h**2 - 1/2*h**4. Factor u(y).
2*(y - 4)**2*(y - 1)/3
Let r = 86 + -84. Factor m**2 + 3*m**2 + 8 + 3*m**2 - 9*m**r.
-2*(m - 2)*(m + 2)
Let l(g) be the first derivative of -g**3/18 - g**2/3 + 16*g/3 + 210. Factor l(c).
-(c - 4)*(c + 8)/6
Let h(d) be the first derivative of 6/5*d**5 - 5 + 0*d**2 + 0*d**4 - 1/2*d**6 + 0*d**3 + 0*d. Let h(s) = 0. What is s?
0, 2
Suppose 0 = -4*l + 9 + 19. Factor -3*x**3 - 12 + 24*x - 10*x**3 + l*x**3 + 3*x**2.
-3*(x - 2)*(x + 2)*(2*x - 1)
Factor -1152/5 - 2/5*x**4 + 192/5*x + 88/5*x**2 - 8/5*x**3.
-2*(x - 4)**2*(x + 6)**2/5
Let s be (-1482)/247 - 138/(-10). Factor 6/5*c**2 + 0 + 0*c + s*c**3 + 33/5*c**4.
3*c**2*(c + 1)*(11*c + 2)/5
Suppose -r + 1 = -2*r. Let w be 2 - (-3 + r + 3). Factor -2*s**2 + 3*s**4 + 9*s + 2*s**2 - 3 - 9*s**w - 3 + 3*s**2.
3*(s - 2)*(s - 1)**2*(s + 1)
Let t(s) be the second derivative of s**5/80 + 9*s**4/16 + 4*s**3 + 23*s**2/2 - 72*s + 1. Suppose t(k) = 0. What is k?
-23, -2
Let x(i) be the second derivative of i**5/4 - 35*i**4/4 + 245*i**3/2 - 1715*i**2/2 - 8*i + 4. Determine t, given that x(t) = 0.
7
Let w(a) be the second derivative of -1/2*a**5 + 7/6*a**4 + 1/15*a**6 + 2 - 16*a + 0*a**2 - a**3. Factor w(m).
2*m*(m - 3)*(m - 1)**2
Let a = 178 + 110. Let y = a - 286. Factor -1/5 + 1/5*m**y + 1/5*m**3 - 1/5*m.
(m - 1)*(m + 1)**2/5
Let f be (-180)/(-27)*7*6/385. Factor 0*z + 0*z**3 + 0 - f*z**2 + 2/11*z**4.
2*z**2*(z - 2)*(z + 2)/11
Factor -79*c - 7*c**3 - 5*c**2 + 119*c - 33*c**3 + 5*c**4.
5*c*(c - 8)*(c - 1)*(c + 1)
Find p, given that 72*p**3 + 305*p**5 + 32*p - 15*p**2 + 95*p**2 + 28*p**4 - 301*p**5 = 0.
-2, -1, 0
Let b = -13 - -17. What is v in -v**2 + 0*v**2 + 14*v - 8 - b*v - v**2 = 0?
1, 4
Let c(n) be the second derivative of 12*n**2 - 4*n + 10/3*n**3 + 0 + 1/3*n**4. Determine k, given that c(k) = 0.
-3, -2
Let h(w) = w**3 + 4*w**2 + w + 6. Let b be h(-4). Suppose 7*v - 17*v + 12*v - v**b = 0. What is v?
0, 2
Let v(q) = -q**2 + 10*q + 11. Let p be v(11). Factor p*o**2 - 2*o**2 - 2*o**2 + 2*o**3 - 2 - 2*o**2 + 6*o.
2*(o - 1)**3
Let g(a) be the third derivative of -5*a**8/336 + 2*a**7/7 - 3*a**6/2 - 7*a**2. Factor g(k).
-5*k**3*(k - 6)**2
Let 0*k - 52/21*k**2 - 2/21*k**4 + 0 + 10/7*k**3 = 0. What is k?
0, 2, 13
Let f(i) be the second derivative of i**7/21 + i**6/15 - i**5/10 - i**4/6 - 74*i. Factor f(p).
2*p**2*(p - 1)*(p + 1)**2
Let n(m) be the first derivative of -2*m**3/9 + 2*m**2 + 32*m/3 - 117. Factor n(a).
-2*(a - 8)*(a + 2)/3
Let u(j) be the first derivative of -j**5/5 - 3*j**4/2 - 11*j**3/3 - 3*j**2 - 343. Find g, given that u(g) = 0.
-3, -2, -1, 0
Factor 2/3*l**3 + 0 + 8*l + 14/3*l**2.
2*l*(l + 3)*(l + 4)/3
Let d(x) be the first derivative of 1/210*x**6 + 0*x**3 + 2/105*x**5 - 3*x**2 + 0*x - 1 + 0*x**4. Let o(z) be the second derivative of d(z). Factor o(b).
4*b**2*(b + 2)/7
Let f(l) = -16*l**4 - 15*l**3 - 5*l**2 + 3*l. Let u(n) = n**4 + n**2 - n. Let d(y) = f(y) + 3*u(y). Find b, given that d(b) = 0.
-1, -2/13, 0
Factor 38 - 4*c**2 + 26 - 79*c + 79*c.
-4*(c - 4)*(c + 4)
Let d(k) be the third derivative of 1/24*k**6 + 0*k**3 - 1/30*k**5 + 0*k**4 + 1/336*k**8 + 0 - 2/105*k**7 + 22*k**2 + 0*k. Find m, given that d(m) = 0.
0, 1, 2
Let m(q) be the third derivative of 0 + 1/60*q**4 + 0*q - 1/300*q**6 + 0*q**3 + 1/525*q**7 - 13*q**2 - 1/150*q**5. Find n, given that m(n) = 0.
-1, 0, 1
Let c be 4/6 - (676/312 + 35/(-10)). What is h in 8/3*h + 4/3 + 4/3*h**c = 0?
-1
Let h(i) be the second derivative of 225*i**5/8 + 75*i**4/4 + 5*i**3 + 2*i**2/3 - 342*i. Factor h(n).
(15*n + 2)**3/6
Let t be (2 - 3)/(6/(-18)). What is p in -4*p**4 + 8*p**t - 2*p**2 - 2*p**2 + 0*p**4 = 0?
0, 1
Factor -4/15*i**4 - 8/15*i + 2/5*i**3 + 0 - 2/15*i**5 + 8/15*i**2.
-2*i*(i - 1)**2*(i + 2)**2/15
Let o(q) = 2. Let v(w) = -w**2 - 60*w - 910. Let y(t) = -5*o(t) - v(t). What is a in y(a) = 0?
-30
Let l(q) = -3*q**2 + 44*q + 11. Let x be l(14). Suppose -x*z = -44*z. Factor -3/5*f + z + 3/5*f**2.
3*f*(f - 1)/5
Let p(o) = o**3 + o**2 + 2. Let h(d) = 3*d**3 + 4*d**2 + 3*d + 6. Let f(i) = h(i) - 4*p(i). Suppose f(s) = 0. Calculate s.
-2, 1
Let w(a) be the third derivative of -a**8/84 + 2*a**7/15 + a**6/15 - 14*a**5/15 - a**4/6 + 14*a**3/3 - 3*a**2 - 27*a. Let w(k) = 0. Calculate k.
-1, 1, 7
Let y = -2044/5 - -410. Let u(g) be the first derivative of 1/2*g**6 + 0*g**4 + 0*g - y*g**5 + 8 + 2*g**3 - 3/2*g**2. Solve u(n) = 0.
-1, 0, 1
Let s(i) be the second derivative of 0 + 8*i + 0*i**2 + 1/15*i**5 + 2/9*i**3 - 2/9*i**4. Factor s(w).
4*w*(w - 1)**2/3
Let j be 3/12 + 2/(-8). Let k(f) be the third derivative of 0*f**3 - 1/240*f**5 + f**2 + 0 + j*f - 1/96*f**4. Factor k(d).
-d*(d + 1)/4
Let c(p) be the second derivative of 11*p + 1/2*p**5 + 1/2*p**4 - 3*p**3 + 0*p**2 + 0 + 1/15*p**6. Determine u, given that c(u) = 0.
-3, 0, 1
Let f(n) be the third derivative of -n**7/3780 + n**6/1080 + n**5/30 - 13*n**4/8 + n**2 - 1. Let h(k) be the second derivative of f(k). Factor h(m).
-2*(m - 3)*(m + 2)/3
Let x(s) be the third derivative of s**6/240 - 3*s**5/40 + 5*s**4/16 - 7*s**3/12 - 3*s**2 + 3*s. Suppose x(c) = 0. Calculate c.
1, 7
Let q(x) be the third derivative of -x**6/180 + 13*x**5/30 + 10*x**4/9 - 74*x**2 + 2. Factor q(f).
-2*f*(f - 40)*(f + 1)/3
Find r, given that 2*r**2 - 3*r**2 - 37797*r + 37845*r = 0.
0, 48
Let w(f) be the second derivative of 7*f**4/4 + 34*f**3/3 + 18*f**2 + 260*f. Factor w(t).
(3*t + 2)*(7*t + 18)
Let q = 8 - 5. Let p = q - 0. Determine m so that m**5 - m - 2*m**5 - m + m + 2*m**p = 0.
-1, 0, 1
Let z = 6 - -14. Suppose -2*p - 3*p = -z. Solve 12*h**4 + 9*h**3 + h**2 - 28*h**p + 19*h**4 + 5*h**2 = 0.
-2, -1, 0
Let l(r) be the second derivative of 1/54*r**4 + 16/27*r**3 + 64/9*r**2 - 40*r + 0. Factor l(q).
2*(q + 8)**2/9
Let w(n) be the first derivative of n**4/4 - 34*n**3 + 1350*n**2 - 5000*n + 46. Factor w(f).
(f - 50)**2*(f - 2)
Suppose 0 = -5*g - 4*k + 111 - 121, 2*g + 2*k + 6 = 0. Suppose 1/2*m**5 + m**4 - 1/2*m + 0 - m**g + 0*m**3 = 0. Calculate m.
-1, 0, 1
Let t(h) be the first derivative of h**7/42 - h**6/10 + h**5/10 + 12*h + 18. Let v(x) be the first derivative of t(x). Factor v(d).
d**3*(d - 2)*(d - 1)
Suppose -2*j = 15 - 9, 4*p - 18 = 2*j. Let 809*l + 5*l**4 + 25*l**2 - 4*l**3 + 24*l**p - 799*l = 0. Calculate l.
-2, -1, 0
Let h(z) be the second derivative of -z**6/10 - 9*z**5/4 - 61*z**4/4 - 21*z**3/2 + 147*z**2 + 59*z. Factor h(n).
-3*(n - 1)*(n + 2)*(n + 7)**2
Let p be 6/(-18) + (-7)/(-3). Suppose -p*q = -7*q + 15. What is t in -10*t + 19*t**q + t**3 - 10*t**5 - 4*t**4 - 4 + 6*t**2 + 0*t**4 + 2*t**2 = 0?
-1, -2/5, 1
Let p = -66863/5 + 13455. Let y = -82 + p. Factor -8/5*f - 2/5*f**4 - 12/5*f**2 - y - 8/5*f**3.
-2*(f + 1)**4/5
Suppose -4*c + 15*n + 18 = 9*n, 4*c = -4*n - 12. Factor -3/5*b**5 + 0*b**2 + 0*b + c + 24/5*b**4 - 48/5*b**3.
-3*b**3*(b - 4)**2/5
Factor 3/8*j**2 - 51/4*j + 867/8.
3*(j - 17)**2/8
Let n(y) be the first derivative of 6/11*y**2 - 28 - 2/33*y**3 - 18/11*y. 