- 8/9*o**5 - 10/9*o**f = 0. Calculate o.
-1, -1/4, 0
Let w = 19517/52088 - -2/6511. Determine f, given that 1/2*f**3 - w*f**5 + 5/8*f**4 + 0 - 1/2*f**2 + 0*f = 0.
-1, 0, 2/3, 2
Let b(s) be the second derivative of -s**6/900 - s**5/100 + 19*s**3/6 - 31*s. Let m(y) be the second derivative of b(y). Factor m(h).
-2*h*(h + 3)/5
Factor -18/5*p**2 + 33/5*p - 18/5 + 3/5*p**3.
3*(p - 3)*(p - 2)*(p - 1)/5
Let u = -840 - -7562/9. Factor 2/9*l**2 - 2/9*l - 2/9 + u*l**3.
2*(l - 1)*(l + 1)**2/9
Suppose -4*j + 49 = -4*s - 51, -5*s = 25. Suppose 2*b = -5*n - 6 + 44, 0 = 5*n - j. Suppose -6*q**2 - 6*q**4 + 0*q**4 + 3*q**4 - b*q**3 = 0. Calculate q.
-2, -1, 0
Let c = -168 - -178. Suppose -a + c = -5*q, -3*a + 0*q - 5*q + 30 = 0. Factor -a*w**2 + 22/3*w**3 - 4/3 + 6*w - 2*w**4.
-2*(w - 1)**3*(3*w - 2)/3
Let k be ((-118)/15)/(17/(-51)). Let w = k - 1198/55. Determine l, given that 50/11 - w*l + 2/11*l**2 = 0.
5
Suppose -111/7*h + 108/7 + 3/7*h**2 = 0. What is h?
1, 36
Suppose 38*z - 35*z - 12 = 0. Solve -9*b + 0*b - 28*b**2 + z*b - 3*b = 0.
-2/7, 0
Suppose 0 = -9*m + 7*m + 8. Let n be m/1 - (-10)/10. Factor -z - 3 + 6*z**3 - 8*z - 6*z**2 + 0*z**3 + 6*z**5 + 9*z**4 - 3*z**n.
3*(z - 1)*(z + 1)**4
Let b(p) be the second derivative of -p**2 - 7/72*p**4 + 0 + 4*p + 4/9*p**3 + 1/120*p**5. Factor b(g).
(g - 3)*(g - 2)**2/6
Factor -8/7*a**2 - 2/7*a**3 + 2/7*a + 8/7.
-2*(a - 1)*(a + 1)*(a + 4)/7
Let v(g) be the second derivative of 0*g**2 + 5/189*g**7 - 19*g + 0 - 1/18*g**5 + 0*g**3 + 1/27*g**4 - 2/135*g**6. Determine o, given that v(o) = 0.
-1, 0, 2/5, 1
Determine i, given that -84 - 52/3*i**2 + 4/3*i**3 + 68*i = 0.
3, 7
Let p be (6/4)/((30/(-4))/(-15)). What is n in 40*n**2 + 47*n + 0*n**5 + 32*n**4 + 6*n**5 - 39*n + 58*n**p = 0?
-2, -1, -1/3, 0
Let t(q) = -5*q**4 + 24*q**3 - 25*q**2 + 6*q - 6. Let o(c) = 5*c**4 - 25*c**3 + 25*c**2 - 5*c + 5. Let v(b) = -6*o(b) - 5*t(b). Factor v(k).
-5*k**2*(k - 5)*(k - 1)
Let i = 9379 + -9374. Suppose 1/2*j**i + j**4 + 0*j**3 - 1/2*j + 0 - j**2 = 0. What is j?
-1, 0, 1
Factor 0 - 26/3*r - 1/6*r**2.
-r*(r + 52)/6
Let f = 58 + -53. Find d such that -5*d - f*d + 1 + 3*d**2 - d**3 + 13*d - 6*d = 0.
1
Factor -44*y - y**2 - 3*y**2 + 11*y**2 + 0*y**2 + 112 - 3*y**2.
4*(y - 7)*(y - 4)
Factor 15/7*k**3 - 4/7*k**4 - 3*k**2 + 13/7*k - 3/7.
-(k - 1)**3*(4*k - 3)/7
Let c(y) = -15*y - 88. Let m be c(-6). Let w(u) be the third derivative of 0 - 1/360*u**6 + 0*u + 1/72*u**4 + 0*u**3 - 2*u**m + 0*u**5. Factor w(z).
-z*(z - 1)*(z + 1)/3
Suppose -9 = 39*u - 42*u. Factor -1/5*i**5 - 1/5 + 2/5*i**u + 2/5*i**2 - 1/5*i - 1/5*i**4.
-(i - 1)**2*(i + 1)**3/5
Let u(g) = 5812*g**2 - 260*g + 3. Let k(m) = -23247*m**2 + 1041*m - 12. Let v(f) = 4*k(f) + 15*u(f). Factor v(p).
-3*(44*p - 1)**2
Let w(t) be the third derivative of t**7/490 + 3*t**6/140 - 3*t**5/140 - 5*t**4/14 - 6*t**3/7 + 248*t**2 - 2*t. Factor w(r).
3*(r - 2)*(r + 1)**2*(r + 6)/7
Let o be (320/15)/8 - (0 - -2). Suppose -2/3*g + 2/9*g**5 - 4/9*g**2 - 2/9 + o*g**4 + 4/9*g**3 = 0. Calculate g.
-1, 1
Let n(f) = -f**4 - 15*f**3 - 18*f**2 - 2*f + 2. Suppose 6*c = 4*c - 6. Let k(m) = 16*m**3 + 19*m**2 + m - 3. Let a(i) = c*n(i) - 2*k(i). Factor a(b).
b*(b + 2)**2*(3*b + 1)
Let f(n) be the first derivative of n**4/4 + n**3 - 2*n**2 - 122. Factor f(o).
o*(o - 1)*(o + 4)
Let c(k) be the first derivative of k**6/60 + 3*k**5/20 + 3*k**4/8 - k**3/3 - 3*k**2 + 47*k + 45. Let z(v) be the first derivative of c(v). Factor z(t).
(t - 1)*(t + 2)**2*(t + 3)/2
Suppose 16*t - 3*t - 312 = 0. Factor 16*g**2 - t*g - 40/9*g**3 + 12 + 4/9*g**4.
4*(g - 3)**3*(g - 1)/9
Let p(i) be the third derivative of i**9/393120 + i**8/65520 - i**5/6 + 4*i**2. Let f(n) be the third derivative of p(n). Determine d so that f(d) = 0.
-2, 0
Let q be (1/15)/(((-9)/252*-14)/6). Factor 14/5*f**2 + 0 - 2/5*f**5 - q*f - 18/5*f**3 + 2*f**4.
-2*f*(f - 2)*(f - 1)**3/5
Let y = -48/7 + 7. Suppose f = 4*j - 1, 5 = 3*j - 6*f + f. Solve 2/7*t**4 + y*t**5 + 0 - 1/7*t**3 + j*t - 2/7*t**2 = 0 for t.
-2, -1, 0, 1
Let f(g) be the third derivative of g**8/504 - 11*g**6/180 + g**5/5 - 2*g**4/9 + 29*g**2 - 2*g. Determine q, given that f(q) = 0.
-4, 0, 1, 2
Factor 605*h + 89*h**3 - 295*h**2 - 305 - 33*h**3 - 61*h**3.
-5*(h - 1)**2*(h + 61)
Solve 15/2*t**3 - 3/8*t**4 + 30 - 6*t**2 - 3/8*t**5 - 24*t = 0.
-5, -2, 2
Let q(d) be the third derivative of 2*d**7/735 - 8*d**6/105 - d**5/105 + 8*d**4/21 - 68*d**2. Factor q(a).
4*a*(a - 16)*(a - 1)*(a + 1)/7
Let n be 4/(-9)*(715/(-26) - -25). Factor -n*l**2 - 2/3*l + 2 - 2/9*l**3.
-2*(l - 1)*(l + 3)**2/9
Suppose p = -3*p. Suppose -6*i + 4*i + 8 = p. Solve -3*c**i - 15 - 12 - 24*c**3 - 25*c - 66*c**2 - 47*c = 0.
-3, -1
Let i(g) be the third derivative of -g**10/352800 + g**9/70560 - g**5/20 + 6*g**2. Let s(v) be the third derivative of i(v). Factor s(q).
-3*q**3*(q - 2)/7
Let f(g) be the first derivative of 4*g**7/525 + g**6/100 - g**5/150 - 3*g**2 + 16. Let m(h) be the second derivative of f(h). Find s such that m(s) = 0.
-1, 0, 1/4
Solve -1/7*i**2 - 3*i + 22/7 = 0.
-22, 1
Let b be ((-110)/20)/((-1)/2). Let h(p) = -p + 26. Let a be h(b). Factor 5 + 15*l**2 - a*l - 2*l**3 - 3*l**3 + 0.
-5*(l - 1)**3
Let o(u) be the third derivative of u**6/60 + 2*u**5/5 + 4*u**4 + 64*u**3/3 - 2*u**2. Factor o(w).
2*(w + 4)**3
Let c(y) be the first derivative of 0*y**2 + 0*y**4 - 1/70*y**5 + 1/21*y**3 - 3 - 8*y. Let l(m) be the first derivative of c(m). Factor l(v).
-2*v*(v - 1)*(v + 1)/7
Let k(p) = p + 18. Let l be k(-13). Suppose a = -a - 3*u - l, 3*u + 9 = 0. Factor -7/5*f**4 - 4/5*f - f**3 + 16/5*f**a + 0.
-f*(f - 1)*(f + 2)*(7*f - 2)/5
Let x(w) be the second derivative of 3*w**5/20 + 9*w**4/4 - 21*w**3/2 + 33*w**2/2 + w - 8. Let x(p) = 0. Calculate p.
-11, 1
Let b = -14 + 44. Let x = b - 28. Solve 0*h + 2/5*h**x - 2/5*h**4 + 0*h**3 + 0 = 0.
-1, 0, 1
Let t(d) = 2*d**3 + 184*d**2 + 2*d + 186. Let h be t(-92). Find i, given that 0 + 3/4*i - 3/4*i**4 + 9/4*i**3 - 9/4*i**h = 0.
0, 1
Factor -29*u**2 + 50*u**4 + 140*u**3 + 8*u - 8*u + 149*u**2 + 5*u**5.
5*u**2*(u + 2)**2*(u + 6)
Suppose -9*g - 916 = 659. Let c = -515/3 - g. Factor 1/3 + c*n + 25/3*n**2.
(5*n + 1)**2/3
Let h(l) be the first derivative of -l**7/126 + l**6/90 + 9*l + 5. Let t(n) be the first derivative of h(n). Suppose t(x) = 0. Calculate x.
0, 1
Let u be (-1 - 13/(-7))/(2236/(-156) + 15). Factor -12/7*d - u - 3/7*d**2.
-3*(d + 1)*(d + 3)/7
Let c be (1 - 25/10)/((-6)/220). Factor -13*d**2 - 39*d**3 - 3*d**2 + c*d**3 - 4*d**4.
-4*d**2*(d - 2)**2
Let 19*g**2 + 285*g + 101*g**2 - 1036*g - 449*g - 3*g**3 = 0. What is g?
0, 20
Let f(j) be the first derivative of 2*j**5/45 + j**4/9 - 2*j**3/3 - 2*j**2 + 167. Suppose f(y) = 0. Calculate y.
-3, -2, 0, 3
Let m(g) = -g**5 + g**4 - g**3 + g**2 - g - 2. Let d(r) = 9*r**5 + 4*r**4 - 5*r**3 - 8*r**2 + 8*r + 16. Let z(u) = 5*d(u) + 40*m(u). Factor z(t).
5*t**3*(t - 1)*(t + 13)
Let d be (-1*(-12)/(-20))/((-45)/250 + 0). Factor -d*a**2 + 2/3*a**4 - 2*a + 0 - 2/3*a**3.
2*a*(a - 3)*(a + 1)**2/3
Let j(p) be the second derivative of p**7/147 - 4*p**6/35 + 26*p**5/35 - 16*p**4/7 + 64*p**3/21 - 42*p. Factor j(c).
2*c*(c - 4)**2*(c - 2)**2/7
Let k be (-2 - 24/(-16))*-1. What is j in 1/2*j - 1/8*j**2 - k = 0?
2
Let w(y) be the first derivative of 3*y**5/25 - 3*y**4/20 - 22*y**3/5 - 66*y**2/5 - 72*y/5 + 401. Suppose w(z) = 0. Calculate z.
-2, -1, 6
Let d(j) be the first derivative of -19*j**2/2 + 98*j + 83. Let r be d(5). Factor -5/7*z + 8/7*z**r - 3/7*z**2 + 4/7*z**4 + 2/7.
(z + 1)*(z + 2)*(2*z - 1)**2/7
Find p, given that 2/5*p**3 + 546/5*p - 1352/5 - 12*p**2 = 0.
4, 13
Determine i so that 16/5*i - 8/5 - 2*i**2 + 2/5*i**3 = 0.
1, 2
Let r be 16/28 + (-260)/(-35). Let s = -4 + r. Factor -2*u**s - 3*u - 18*u**3 + 7*u**4 + 12*u**2 - 3*u**5 + 3*u**4 + 4*u**4.
-3*u*(u - 1)**4
Let x(t) = t**2 + t - 1. Let g(v) be the first derivative of -2*v**5/5 - 2*v**4 - 17*v**3/3 - 3*v**2/2 + 19*v - 20. Let u(h) = 2*g(h) + 22*x(h). Factor u(c).
-4*(c - 1)*(c + 1)*(c + 2)**2
Let g(s) = -12*s**4 - 30*s**3 + 72*s**2 - 45*s. Let o(a) = 3*a**4 + 7*a**3 - 18*a**2 + 12*a. Let n(q) = -4*g(q) - 15*o(q). Factor n(i).
3*i**2*(i - 1)*(i + 6)
Let s(f) = -f**3 + 25*f**2 - 6*f - 18. Let x(p) = -8*p**2 + 2*p + 6. Let n(k) = -2*s(k) - 7*x(k). Factor n(b).
2*(b - 1)*(b + 1)*(b + 3)
Let t(x