b**7/6 + 23*b**6/15 - 293*b**5/60 + 15*b**4/2 - 6*b**3 + 177*b**2 - 2*b. Solve v(c) = 0.
2/5, 6/7, 1, 3
Let g(u) be the third derivative of u**8/112 + 29*u**7/105 + 19*u**6/120 - u**2 - 52*u. Factor g(j).
j**3*(j + 19)*(3*j + 1)
Let u = -20 + 28. Let r(f) = -6*f**5 - 2*f**4 - 4*f**3 - 8*f**2 + 8*f. Let n(h) = h**5 + h**2 - h. Let b(x) = u*n(x) + r(x). Factor b(v).
2*v**3*(v - 2)*(v + 1)
Let q = 10 - 14. Let s be 0 - (-3 - q)*-3. Determine t so that 16*t**3 + 9*t - t**3 - 82*t**2 + 61*t**2 - s*t**4 = 0.
0, 1, 3
Let q(z) be the third derivative of 1225043*z**6/30 - 11449*z**5/5 + 107*z**4/2 - 2*z**3/3 - 501*z**2. What is x in q(x) = 0?
1/107
Solve 22/3*x + 2/9*x**2 + 0 = 0 for x.
-33, 0
Let j(k) be the third derivative of -k**7/420 + k**6/240 + k**5/30 - k**4/12 + 91*k**2. Factor j(d).
-d*(d - 2)*(d - 1)*(d + 2)/2
Solve -10*u - 50/3 + 6*u**2 - 2/3*u**3 = 0.
-1, 5
Suppose 0 = 3*s + 21 - 6. Let q(p) = 3*p**2 + 13*p - 5. Let x be q(s). Factor 2/3*k**x + 2/3*k**2 + 0 - 2/3*k**4 + 0*k - 2/3*k**3.
2*k**2*(k - 1)**2*(k + 1)/3
Let o(z) be the second derivative of -1/5*z**5 + 2/3*z**3 - 2/15*z**6 + 4*z + 0 + 0*z**2 + 1/3*z**4. Factor o(q).
-4*q*(q - 1)*(q + 1)**2
Suppose 5*f + 8 + 12 = 5*z, 0 = 3*z - f - 4. Let t be 5 - 1 - z/3. Factor -3 + 0*i**2 - 5*i**4 - 12*i**2 + 6*i**3 + 3*i**t + i**4 + 10*i.
-(i - 3)*(i - 1)**3
Factor 2/7*t**3 - 8/7*t + 6/7*t**2 + 0.
2*t*(t - 1)*(t + 4)/7
Let d be ((-10)/9)/((-125)/75). Let y(b) be the first derivative of 2*b**2 - 2*b - d*b**3 + 7. Find k, given that y(k) = 0.
1
Solve -z**2 + 5*z**4 - 692*z**3 + z**2 + 752*z**3 = 0.
-12, 0
Let -19*l**2 - 19*l**2 + 59*l**2 + 5*l**2 + 4*l = 0. What is l?
-2/13, 0
Let n(j) be the first derivative of 1/3*j**4 - 2*j**2 + 0*j**3 - 7*j + 5. Let u(x) be the first derivative of n(x). Factor u(g).
4*(g - 1)*(g + 1)
Let l(f) be the second derivative of f**7/1260 - f**6/180 - f**5/20 + 3*f**4/4 - 4*f**3 - 2*f. Let i(g) be the second derivative of l(g). Solve i(h) = 0.
-3, 3
Let s(x) be the first derivative of x**4/6 + 4*x**3/3 + 4*x**2 - 9*x + 13. Let b(i) be the first derivative of s(i). Find l, given that b(l) = 0.
-2
Let i(p) be the first derivative of -5/2*p**2 - 11 + 5/3*p**3 + 0*p. Factor i(w).
5*w*(w - 1)
Let d = -967 - -5803/6. Let h(z) be the second derivative of 0 - d*z**3 - 1/8*z**4 + 1/4*z**2 + 11*z. What is n in h(n) = 0?
-1, 1/3
Let h(k) = -12*k**4 - 44*k**3 - 36*k**2 - 20*k + 32. Let i(o) = o**4 + 2*o**3 - 2. Let w(g) = h(g) + 16*i(g). Factor w(m).
4*m*(m - 5)*(m + 1)**2
Let i be (-18)/(-12)*(2 - 0). Let c be 36/(-105)*(-10)/i. Factor -c*h**2 + 0 + 12/7*h**3 + 2/7*h**5 + 2/7*h - 8/7*h**4.
2*h*(h - 1)**4/7
Let n be 4163/8145 + ((-14)/10 - -1). Factor 0 + 1/9*a**2 - n*a.
a*(a - 1)/9
Suppose -16/3 - 10/3*d - 1/3*d**2 = 0. What is d?
-8, -2
Let h(l) be the first derivative of 29 + 0*l**2 - 3/8*l**4 + 0*l**3 - 21/20*l**5 + 9/8*l**6 + 0*l. Solve h(f) = 0 for f.
-2/9, 0, 1
Let w be (-1)/((-325)/(-320) + -1). Let o = -62 - w. What is m in -2/9*m + 4/9 - 4/9*m**o + 2/9*m**3 = 0?
-1, 1, 2
Let q = 141 - 104. Suppose 35*u - q*u = 0. Factor u + 5/7*l**2 - 2/7*l.
l*(5*l - 2)/7
Let u(i) = 105*i**2 - 54*i - 51. Let s(n) = -21*n**2 + 11*n + 10. Let z(j) = -21*s(j) - 4*u(j). Solve z(p) = 0 for p.
-2/7, 1
Let l(r) be the third derivative of 1/96*r**6 + 35*r**2 - 19/96*r**4 + 0*r + 1/4*r**3 + 0 + 1/30*r**5. Determine o, given that l(o) = 0.
-3, 2/5, 1
Let n(q) = -1870*q + 11223. Let c be n(6). Solve -4/11*k**c + 2/11 - 8/11*k**2 + 6/11*k**4 + 4/11*k**5 + 0*k = 0 for k.
-1, 1/2, 1
Let q be (-44)/8*22/(-44). Factor -q*k**2 + k**3 + 1/2 + 5/4*k.
(k - 2)*(k - 1)*(4*k + 1)/4
Let t(r) be the second derivative of 5*r**7/126 - 2*r**6/3 + 5*r**5/6 + 5*r**4/3 - 55*r**3/18 + 15*r + 5. Determine b, given that t(b) = 0.
-1, 0, 1, 11
Let r = 255 + -18359/72. Let u(o) be the third derivative of -r*o**4 - 1/120*o**6 + 0 - 1/60*o**5 + 0*o + 0*o**3 - o**2 - 1/630*o**7. Factor u(z).
-z*(z + 1)**3/3
Let w(k) = k**4 + k**3 + k**2 - k - 1. Let t(b) = -16*b**5 + 2*b**4 + 22*b**3 + 10*b**2 - 6*b - 6. Let m(f) = -t(f) + 6*w(f). Solve m(a) = 0.
-1, -1/4, 0, 1
Let l = 164 - 50. Let a = l - 111. Solve 4/9*n**a + 0*n - 2/9*n**4 - 2/9*n**2 + 0 = 0 for n.
0, 1
Factor 54/5*n - 3/5*n**3 + 0 + 9/5*n**2.
-3*n*(n - 6)*(n + 3)/5
Let i be (12 - 13) + (-42)/(-24). Factor 3/8*x + 0 + 3/8*x**3 - i*x**2.
3*x*(x - 1)**2/8
Let i = 2 + 1. Solve -4*y**5 + 6*y**4 + 2*y**3 - 21*y**2 + 15*y**4 - 5*y**5 + y**i + 6*y = 0.
-1, 0, 1/3, 1, 2
Let n(w) = 49*w**4 + 17*w**3 - 122*w**2 + 60*w - 12. Let k(g) = g**3 + 1. Let v(y) = 4*k(y) + n(y). What is j in v(j) = 0?
-2, 2/7, 1
Let h(o) = -o**2 - 6*o + 55. Let m be h(-11). Factor m - 3*q - 3/4*q**3 - 3*q**2.
-3*q*(q + 2)**2/4
Let i(a) be the first derivative of 4*a - 8*a**2 + 4 - 21/5*a**5 + 13/3*a**4 + 8*a**3. Let t(q) be the first derivative of i(q). Suppose t(k) = 0. What is k?
-2/3, 2/7, 1
Find q such that -70*q - 31554 - 20*q + 31649 - 5*q**2 = 0.
-19, 1
Suppose 0 = -5*i - 4*s - 1, 5*s + 8 + 12 = 0. Suppose 2*o + 9 = i*w, 3*w = 2*w + 5*o + 3. Suppose 10/9*f**2 - 4/9*f + 0 - 4/9*f**w = 0. What is f?
0, 1/2, 2
Let s(x) be the third derivative of -17/20*x**5 + 31/24*x**4 - 5/6*x**3 + 0*x + 0 + 34*x**2 + 3/40*x**6. Solve s(w) = 0.
1/3, 5
Let l(o) be the second derivative of o**8/1680 - o**7/210 + o**6/90 - 13*o**4/12 + 2*o - 33. Let n(a) be the third derivative of l(a). Factor n(u).
4*u*(u - 2)*(u - 1)
Suppose 5*m - 5 = c - 0, m - 4*c + 18 = 0. Factor -2/3*n**4 + 8/3*n + 2*n**m - 4/3*n**3 - 8/3.
-2*(n - 1)**2*(n + 2)**2/3
Suppose 48*z = 41*z + 35. Let f(x) be the third derivative of -9/8*x**4 + 0*x + 3/20*x**5 - z*x**2 + 9/2*x**3 - 1/120*x**6 + 0. Factor f(h).
-(h - 3)**3
Let r(s) be the third derivative of s**7/70 - 9*s**6/40 + 3*s**5/5 + 10*s**4 - 96*s**3 + 139*s**2. Determine c so that r(c) = 0.
-3, 4
Let k(s) be the third derivative of s**8/336 + s**7/42 + 3*s**6/40 + 7*s**5/60 + s**4/12 + 55*s**2. Let k(h) = 0. Calculate h.
-2, -1, 0
Let j(k) be the first derivative of 10 - 135/4*k**4 + 5*k**5 + 30*k - 145/2*k**2 + 75*k**3. Factor j(z).
5*(z - 3)*(z - 1)**2*(5*z - 2)
Suppose 9*q - 11*q = 5*x - 28, 5*q + 2*x - 28 = 0. Factor -d**q + 13*d**4 - 7*d**5 - 1513*d**3 - 2*d**2 + 1510*d**3.
-d**2*(d - 1)**2*(7*d + 2)
Let k(n) be the second derivative of -n**5/420 - n**4/21 - 8*n**3/21 - n**2 + 11*n. Let b(o) be the first derivative of k(o). Factor b(z).
-(z + 4)**2/7
Suppose 261*d = -4*v + 265*d + 44, 0 = -2*v - 5*d - 20. Factor 4/3*t**3 - 2/3*t**v + 4/3*t**4 - 4/3 - 16/3*t**2 + 14/3*t.
-2*(t - 1)**4*(t + 2)/3
Let x(z) be the first derivative of 3*z**5 - 25*z**4/4 - 5*z**3/3 + 25*z**2/2 - 10*z + 92. Suppose x(j) = 0. Calculate j.
-1, 2/3, 1
Let g(b) be the first derivative of -1681*b**3/21 + 82*b**2/7 - 4*b/7 + 52. Determine c so that g(c) = 0.
2/41
Let z(r) = r**2 + 17*r - 35. Let f be z(-19). Let u(h) be the second derivative of 0 + 4*h + 0*h**2 + h**f + 3/4*h**4. Suppose u(i) = 0. What is i?
-2/3, 0
Let l(d) be the third derivative of -d**5/60 - 23*d**4/24 + 3*d**2 - 58*d. Factor l(t).
-t*(t + 23)
Let q = 17 + -13. Suppose -25 + 71 = 23*w. Factor -1/3*v**q + v**3 + 1/3*v + 0 - v**w.
-v*(v - 1)**3/3
Let r be 9/2 + (-17)/34. Let c(h) be the second derivative of -3*h - 1/50*h**5 + 4/5*h**2 - 8/15*h**3 + 0 + 1/6*h**r. Factor c(o).
-2*(o - 2)**2*(o - 1)/5
Suppose 31 = 3*r + 28. Let u be 64/12 - (r - -4). What is f in 1/3*f + u*f**2 + 0 = 0?
-1, 0
Let b be 2/(-4) - 114/(-4). Let l = b - 26. Suppose -5*j + j + 2*j**3 - 11*j - 7*j**3 - 20*j**l = 0. Calculate j.
-3, -1, 0
Determine k so that -12 + 12*k + 40/3*k**2 + 4/3*k**5 - 40/3*k**3 - 4/3*k**4 = 0.
-3, -1, 1, 3
Suppose 4279*t - 4284*t = 5*u, t = -2*u - 3. Find x, given that -x**2 - 7/3*x + 7/3*x**t - 2/3 + 5/3*x**4 = 0.
-1, -2/5, 1
Let y(z) be the second derivative of 1/5*z**5 - 5/3*z**4 + 10*z**2 + 0 - 2/3*z**3 + 17*z. Factor y(i).
4*(i - 5)*(i - 1)*(i + 1)
Let a be (-196)/(-10) + (-30)/(-75). Suppose -21*l + a*l = -3. Factor -12/7*u**2 + 0 - 12/7*u - 3/7*u**l.
-3*u*(u + 2)**2/7
Let j = -30 - -33. Factor 3*l**3 - l - 9*l**3 + 7*l**j.
l*(l - 1)*(l + 1)
Let d = 1812 + -5432/3. Factor 5/3*s - 2/3 + 1/3*s**3 - d*s**2.
(s - 2)*(s - 1)**2/3
Let x be (-69)/(-12) + ((-6)/8)/1. Let u be (3 - x)/(-2)*0/2. Let -4/9*k**2 + 0*k - 2/9*k**3 + u = 0. Calculate k.
-2, 0
