ve k(q) = 0 for q.
0, 1, 2
Let w(r) be the first derivative of r**5/35 - r**4/7 + 5*r**3/21 - r**2/7 + 13. Factor w(b).
b*(b - 2)*(b - 1)**2/7
Let z be ((-60)/(-135))/(10/12). Let a(m) be the first derivative of 1/30*m**6 - z*m**3 + 3/5*m**4 + 0*m**2 + 2 + 0*m - 6/25*m**5. What is f in a(f) = 0?
0, 2
Let h(u) be the first derivative of -1/5*u**5 + 0*u + 1/6*u**6 + 0*u**2 + 0*u**3 + 3 + 0*u**4. Factor h(y).
y**4*(y - 1)
Determine i so that -10*i**3 + 93*i**4 + 34*i**3 - 78*i**4 + 3*i**5 + 12*i**2 = 0.
-2, -1, 0
Let p(w) = 2*w**2 - 2*w + 17. Let c(i) = -9*i**2 + 7*i - 69. Let g(x) = -6*c(x) - 26*p(x). Determine y, given that g(y) = 0.
-7, 2
Let j(t) be the first derivative of -6*t**2 - 17 + 33 - 9*t - t**3 - 13. Find y such that j(y) = 0.
-3, -1
Let f(j) be the second derivative of 0*j**2 + 8*j - 1/20*j**5 + 1/21*j**3 + 0 - 5/84*j**4. Factor f(h).
-h*(h + 1)*(7*h - 2)/7
Let c(k) be the third derivative of 0 + 0*k**4 + 0*k**5 + 0*k**3 - 1/150*k**6 - 2/525*k**7 + 0*k - 11*k**2. Factor c(d).
-4*d**3*(d + 1)/5
Let p(h) be the first derivative of 2*h**6/3 - 4*h**4 + 8*h**3/3 + 6*h**2 - 8*h - 4. Determine o so that p(o) = 0.
-2, -1, 1
Let q(b) = -b**2 + b + 2. Let g(r) = r**2 - 1. Let n = 32 + -47. Let d = 11 + n. Let j(f) = d*q(f) - 6*g(f). Factor j(s).
-2*(s + 1)**2
Suppose -2 = 3*r + 2*x - 4, 3*r - 3*x = 12. Factor -4/3 + 2*m - 2/3*m**r.
-2*(m - 2)*(m - 1)/3
Let l(r) be the third derivative of 24*r**8/7 - 16*r**7/3 + 17*r**6/5 - 11*r**5/10 + r**4/6 + 34*r**2. Factor l(o).
2*o*(4*o - 1)**3*(9*o - 2)
Let a(t) be the first derivative of 27*t**6/5 + 18*t**5/5 + 2*t**4/3 - 6*t - 5. Let p(g) be the first derivative of a(g). Factor p(n).
2*n**2*(9*n + 2)**2
Suppose 5*u - 23 = 3*i + 9, 2*u - 12 = i. Solve -5/3*k**u + 0 + 7/3*k**3 + 0*k - 2/3*k**2 = 0 for k.
0, 2/5, 1
Suppose 3*t - 5 + 14 = 5*u, u = t + 1. Factor -2/5*a - 1/5*a**4 + 1/5 + 0*a**2 + 2/5*a**u.
-(a - 1)**3*(a + 1)/5
Suppose -17 - 1 = 3*d. Let q be (d/16)/(3/(-14)). Determine s, given that q*s**2 + 1/2*s + 0 = 0.
-2/7, 0
Let t(d) = 2*d**2 - 3*d + 1. Let l(b) = -2*b**2 + 2*b. Let u(n) = 5*l(n) + 4*t(n). Solve u(v) = 0 for v.
-2, 1
Let w(i) = 6*i**3 - 6*i**2. Let j(o) = -o**3 + o**2. Let d(b) = 10*j(b) + w(b). Suppose d(n) = 0. Calculate n.
0, 1
Let j(f) be the first derivative of f**6/120 + f**5/80 + 2*f - 5. Let w(d) be the first derivative of j(d). Solve w(h) = 0.
-1, 0
Suppose -4*y - 21 = -3*g, 3*g = 2*g + 5*y + 18. Factor -c**2 - g*c - c + 4*c.
-c**2
Suppose 3/7*p**5 - 6/7*p**2 + 0 - 3/7*p + 0*p**3 + 6/7*p**4 = 0. Calculate p.
-1, 0, 1
Let v = -978 - -4892/5. Find q such that v*q**2 + 2/5*q - 2/5*q**3 - 2/5*q**4 + 0 = 0.
-1, 0, 1
Let l = -19 - -28. Let f be 2*(27/2)/l. Factor 4/7*w**2 + 0*w + 2/7*w**4 - 6/7*w**f + 0.
2*w**2*(w - 2)*(w - 1)/7
Let k be 12/(-8)*(-2 + (-429)/(-216)). Let f(s) be the second derivative of -k*s**4 + 0 + 1/24*s**3 + 0*s**2 + 3*s. Factor f(g).
-g*(g - 1)/4
Suppose t + 18 = 3*t. Suppose n + 2*n - t = 0. Suppose -2*d - d**n - d**3 + 3*d + d**5 + 0*d**3 = 0. What is d?
-1, 0, 1
Let t be 3/((-6)/4)*2/(-14). Factor 4/7 + t*q**2 + 6/7*q.
2*(q + 1)*(q + 2)/7
Let b be (-8)/12*2/(-4). Suppose 2*k - 6*k = 0. Let -1/2*s**2 + 0 + 1/6*s**4 + k*s**3 + b*s = 0. Calculate s.
-2, 0, 1
Let t(u) be the second derivative of -u**5/110 + u**4/66 + u. Determine c, given that t(c) = 0.
0, 1
Suppose 5*v = v. Let m(c) be the second derivative of 2/15*c**6 - 1/21*c**7 - 1/3*c**4 + v*c**2 + 0*c**5 + 2*c + 1/3*c**3 + 0. Determine a, given that m(a) = 0.
-1, 0, 1
Suppose 0*v - 1/6*v**3 - 1/3*v**2 + 0 = 0. What is v?
-2, 0
Let w = -93 + 95. Suppose 5/3*h**3 - 2/3 - 5/3*h + 2/3*h**w = 0. Calculate h.
-1, -2/5, 1
Let p be 56/35*15/6. Factor 1/3*v**p + 0*v - 1/3*v**2 + 0 + 0*v**3.
v**2*(v - 1)*(v + 1)/3
Let 15/4*o**2 - 21/4*o + 3/2 = 0. Calculate o.
2/5, 1
Let j(y) be the second derivative of -1/24*y**3 - y + 0*y**2 - 1/80*y**5 + 1/24*y**4 + 0. Solve j(b) = 0 for b.
0, 1
Let v(m) be the first derivative of m**5/20 - m**4/4 + m**3/2 - m**2/2 + m/4 + 6. Factor v(s).
(s - 1)**4/4
Suppose -2*k - l = 2*k - 9, 2*k - 3*l - 15 = 0. Factor t + 7/2*t**2 + 2*t**k - 1/2.
(t + 1)**2*(4*t - 1)/2
Let v(q) be the third derivative of -q**10/756000 + q**8/50400 - q**6/3600 - 3*q**5/20 - 5*q**2. Let d(o) be the third derivative of v(o). Factor d(k).
-(k - 1)**2*(k + 1)**2/5
Let i(v) be the third derivative of 1/30*v**5 + 2*v**2 + 0*v + 0 + 4/3*v**3 + 1/3*v**4. Let i(m) = 0. Calculate m.
-2
Let x be 20/(-3)*5/255. Let h = 6/17 + x. Find y, given that 0 - h*y - 4/9*y**3 + 2/3*y**2 = 0.
0, 1/2, 1
Let v be (10/13)/(-5) - (-116)/78. Let m(k) be the second derivative of 1/6*k**4 - 2*k - v*k**3 + 0 + 4*k**2. Factor m(u).
2*(u - 2)**2
Let w be 1/6 + (-110)/780. Let b = 4/13 + w. Suppose 2/3*d**2 - d**4 + 1/3*d**5 + b + 2/3*d**3 - d = 0. Calculate d.
-1, 1
Let s be ((-12)/21)/(63/(-49)). Let u = 24809/9 - 2753. Factor -14/9*y**3 + s + u*y**2 - 22/9*y.
-2*(y - 1)**2*(7*y - 2)/9
Let d be (1/4)/(-2 - (-17)/8). Factor -1/4*r**4 + 0*r + 1/4*r**3 + 0 - 1/4*r**5 + 1/4*r**d.
-r**2*(r - 1)*(r + 1)**2/4
Let l = -34 + 37. Solve -6/7*o**4 + 0*o - 2/7*o**l + 0 + 4/7*o**2 = 0.
-1, 0, 2/3
Let j(m) be the second derivative of 3*m**7/14 - 8*m**6/5 + 81*m**5/20 - 5*m**4/2 - 6*m**3 + 12*m**2 + 16*m. Determine b so that j(b) = 0.
-2/3, 1, 2
Let d = -950/153 + 54551/7956. Let v = d - -1/52. Factor -v*n + 8/3*n**2 + 0.
2*n*(4*n - 1)/3
Let i(l) be the third derivative of -l**8/672 - l**7/420 + 2*l**2. Factor i(h).
-h**4*(h + 1)/2
Let v(g) = -13*g**4 + 57*g**3 - 26*g**2 - 196*g - 100. Let l(u) = -u**4 + u**2 - u - 1. Let a(f) = 4*l(f) - v(f). Find y, given that a(y) = 0.
-1, -2/3, 4
Let g(f) = 3*f - 3. Let a be g(3). Factor -a*y**5 + 12*y**4 + y**5 + 4*y**3 - 6 + 8*y**5 - 6*y**2 + 8*y**3 - 15*y.
3*(y - 1)*(y + 1)**3*(y + 2)
Let c(o) = -o**2 + 9*o + 14. Let h be c(10). Determine j so that 12*j**3 - 1 + 5 - 64*j**2 - 42*j**5 + 30*j - 8 + 68*j**h = 0.
-1, 2/7, 1/3, 1
Let 4/9*u**2 - 14/9*u - 4/9 + 14/9*u**3 = 0. What is u?
-1, -2/7, 1
Let z = 9 - 6. Factor 3*p + 0*p**3 + p**3 - z*p - p**4.
-p**3*(p - 1)
Suppose -4*l + 45 = -3. Let h(p) = p**2 + p - 4. Let k be h(-3). Suppose -l*f**k + 0*f - 7*f**3 - 2*f + 2 - f = 0. Calculate f.
-1, 2/7
Let i(r) be the second derivative of 0 - 8/15*r**3 + 16/5*r**2 + 1/30*r**4 + 2*r. Factor i(v).
2*(v - 4)**2/5
Suppose -5 = 5*u + 15. Let c be u/5*15/(-18). Find v, given that -c + 22/3*v - 112/3*v**4 + 32/3*v**5 + 146/3*v**3 - 86/3*v**2 = 0.
1/4, 1
Determine y so that -32 - 1/2*y**2 + 8*y = 0.
8
Let h(o) be the first derivative of 2*o**3/3 + o**2 - 26. Suppose h(d) = 0. Calculate d.
-1, 0
Let m = 2/85 - -81/170. Suppose 0*r + 0*r**4 - 1/2*r**5 + 0 + 0*r**2 + m*r**3 = 0. Calculate r.
-1, 0, 1
Solve 0 + 1/4*r**2 + 0*r + 3/4*r**4 - 7/8*r**3 = 0 for r.
0, 1/2, 2/3
Factor 3/2*z**3 + 3/2*z**4 + 0 + 1/2*z**2 + 1/2*z**5 + 0*z.
z**2*(z + 1)**3/2
Determine n so that 3*n**2 + 4*n - 3*n - 5*n + n = 0.
0, 1
Let i = 103 - 99. Factor 3/7*b**2 + 0*b + 0 - 9/7*b**i + 0*b**3 + 6/7*b**5.
3*b**2*(b - 1)**2*(2*b + 1)/7
Suppose 6*k - 4 = 2*k, 2*w - 3*k = 3. What is g in 3*g**2 - 3*g**4 - 3*g + 3*g**w - g**2 - 2*g**2 + 3*g**2 = 0?
-1, 0, 1
Let l(h) = 6*h**5 - h**4 - 4*h**3 + 5*h**2 - 5*h + 7. Let b(c) = c**5 - c**3 - c + 1. Let n(s) = 21*b(s) - 3*l(s). Determine r, given that n(r) = 0.
-1, 0, 2
Let h be ((-12)/9)/4*-6. Factor o**3 - 2*o - 2*o**2 - 8*o**3 + h + 9*o**3.
2*(o - 1)**2*(o + 1)
Factor 0 - 3/5*s**3 + 1/5*s**2 + 1/5*s**5 - 1/5*s**4 + 2/5*s.
s*(s - 2)*(s - 1)*(s + 1)**2/5
Let s(n) be the first derivative of 7/12*n**6 - 2 - n**2 - 3/8*n**4 - 8/3*n**3 + 8/5*n**5 + 0*n. Let s(k) = 0. What is k?
-2, -1, -2/7, 0, 1
Let u(g) = -4*g**2 - 3*g + 8. Let f(l) = -l. Let a(j) = f(j) + u(j). Let a(i) = 0. What is i?
-2, 1
Suppose -44*z + 43*z + 3 = 0. Find m, given that 8/7*m**2 + 0 - 2/7*m**z - 8/7*m = 0.
0, 2
Let r(j) be the first derivative of -j**4/22 - 4*j**3/11 - 12*j**2/11 - 16*j/11 - 9. Factor r(z).
-2*(z + 2)**3/11
Let a(h) be the first derivative of h**3/9 - 2*h**2/3 + h - 3. Factor a(n).
(n - 3)*(n - 1)/3
Suppose p = -3*p - 4. Let c = 19 + p. Let -62/3*t**4 + c*t**2 + 8/3 - 10/3*t**3 - 10*t**5 + 40/3*t = 0. What is t?
-1, -2/3, -2/5, 1
Let b(g) be the second derivative of -2/27*g**4 + 3*g + 0 - 4/27*g**3 - 1/9*g**2. Determine p so that 