p**2. Let z be k(-6). Find v, given that -z*v - 3 - v**4 + 2 + 2*v**3 + 2*v**4 + 0*v = 0.
-1, 1
Let d(f) be the first derivative of f**8/840 - 2*f**7/525 + f**6/300 - 5*f**2/2 - 7. Let j(x) be the second derivative of d(x). Factor j(q).
2*q**3*(q - 1)**2/5
Let x be 1*4*(1 + 0). Suppose 2*q + 16 = 4*t, 5*t - x*q + 4 = 6*t. Factor t*b**2 + 2 - 3*b - b**3 - 1 - b**2.
-(b - 1)**3
Let l(y) = -y**2 + 2*y - 3. Let n be l(6). Let x be n/(-9) - (-5)/(-2). Factor -x*g + 0 - 1/2*g**3 - g**2.
-g*(g + 1)**2/2
Let u be (-16)/(-6) - (-3 - 25/(-5)). Factor -1/3*n**3 + 1/6*n**4 + 2/3*n - 1/2*n**2 + u.
(n - 2)**2*(n + 1)**2/6
Let q = -98/5 - -299/15. Let c(x) be the second derivative of 0 - 1/6*x**4 + q*x**3 + 1/40*x**5 + 0*x**2 - x. Let c(a) = 0. What is a?
0, 2
Let b(s) be the first derivative of 3/4*s**4 + 2 - 2*s + 0*s**2 + 1/3*s**3 + 7/20*s**5. Let j(v) be the first derivative of b(v). Factor j(r).
r*(r + 1)*(7*r + 2)
Let x = 4 + -2. Factor i + 2/3 + 7/3*i**3 - 4*i**x.
(i - 1)**2*(7*i + 2)/3
Let m(g) = -g**2 + 10*g - 20. Let r be m(4). Factor 0*i + 0*i**2 + 0 - 1/5*i**5 + 2/5*i**r - 1/5*i**3.
-i**3*(i - 1)**2/5
Let s(p) = 11*p - 1. Let f be s(1). Let b be (28/f - 4)/(-1). Determine r, given that 0 - 6/5*r**3 + 0*r - 2/5*r**5 - b*r**4 - 2/5*r**2 = 0.
-1, 0
Let z be -1 - (-2 + 0 - 2). Let m(v) be the second derivative of 0 - 1/15*v**4 - 1/15*v**z + 0*v**2 - 1/50*v**5 + v. Solve m(o) = 0.
-1, 0
Let u(s) be the second derivative of s**7/28 - 3*s**5/40 - 9*s. Let u(c) = 0. Calculate c.
-1, 0, 1
Let d(p) be the first derivative of p**6/6 - 5*p**5 + 125*p**4/2 - 1250*p**3/3 + 3125*p**2/2 - 3125*p + 10. Suppose d(a) = 0. Calculate a.
5
Suppose -40 = -0*o - 4*o. Suppose 0 = -3*q - 4*t - 5, o = q + 3*t - 4*t. Factor 2*m**q + 8*m**3 - 5*m**3 - 5*m**3.
2*m**3*(m - 1)*(m + 1)
Let f be (-7 - 3 - -1)/(-1). Factor 3 + 6*r - r**2 - f - 3.
-(r - 3)**2
Let s be (-20)/25*(1 - 6). Factor -4*p**3 - s*p**3 + 2*p + 4*p**3 + 2*p**3.
-2*p*(p - 1)*(p + 1)
Solve -2/11*l**5 - 2/11*l + 4/11*l**3 - 2/11 + 4/11*l**2 - 2/11*l**4 = 0.
-1, 1
Let g(l) be the third derivative of -l**7/280 + 7*l**6/360 - l**5/60 - 2*l**3/3 - l**2. Let z(w) be the first derivative of g(w). Let z(j) = 0. What is j?
0, 1/3, 2
Let x(w) be the second derivative of -w**5/150 - w**4/90 + w**3/45 + w**2/15 - 2*w. Factor x(h).
-2*(h - 1)*(h + 1)**2/15
Suppose -3*h = -3*t + 3, -4*h - 6 = -9*t + 4*t. Factor 3*m - m**t - m + 3*m**2.
2*m*(m + 1)
Suppose 2/7*l**3 + 0*l**2 - 2/7*l + 0 = 0. What is l?
-1, 0, 1
Suppose f = -3*f + 8. Let y(o) be the second derivative of -1/15*o**6 - 1/6*o**4 + 1/5*o**5 + 0 + 0*o**f - 2*o + 0*o**3. Factor y(h).
-2*h**2*(h - 1)**2
Factor -4/5 + 8/5*m + 1/5*m**3 - m**2.
(m - 2)**2*(m - 1)/5
Let 2/5*j**3 + 2/5*j - 4/5*j**2 + 0 = 0. What is j?
0, 1
Factor 2048/5*h - 1/5*h**4 - 4096/5 + 32/5*h**3 - 384/5*h**2.
-(h - 8)**4/5
Solve 6*m**4 + 3*m**4 + 2*m**5 - 3*m**5 - 7*m**4 = 0.
0, 2
Let m = 279 + -835/3. Factor 1/3*c**2 + m - c.
(c - 2)*(c - 1)/3
Let g(z) be the third derivative of z**8/1680 + z**7/420 - z**5/60 - z**4/24 + z**3/6 - 3*z**2. Let a(h) be the first derivative of g(h). Factor a(t).
(t - 1)*(t + 1)**3
Let q = 1/39 - -115/78. Factor 9/4 + 3/2*l - 1/4*l**4 - 2*l**2 - q*l**3.
-(l - 1)*(l + 1)*(l + 3)**2/4
Suppose -2*v - 152 = -4*v. Let c = -378/5 + v. Factor 0*j + 0 - c*j**3 - 2/5*j**2.
-2*j**2*(j + 1)/5
Let j(k) = -2*k**2 - 2*k + 9. Let c be j(6). Let a = c - -376/5. Factor 1/5*s**2 - a*s**3 - 1/5*s**4 + 1/5*s + 0.
-s*(s - 1)*(s + 1)**2/5
Let v(q) be the second derivative of -2/5*q**5 - 1/3*q**4 + 0 + 5*q + 4/3*q**3 + 2*q**2. Find o, given that v(o) = 0.
-1, -1/2, 1
Let n(u) = u**3 + u**2. Let s be n(1). Suppose a + s*a**4 - 2*a**3 - a**4 + 5*a**3 + 3*a**2 = 0. What is a?
-1, 0
Suppose 3*u + 5*s - 29 = 0, 10 = -2*u - 4*s + 8*s. Suppose -3 + 6*h + u*h**2 + 2 + 2 + 2 = 0. What is h?
-1
Let i(r) be the second derivative of -r**6/10 - 6*r**5/5 - 15*r**4/4 + 4*r**3 + 24*r**2 - 6*r + 5. Factor i(l).
-3*(l - 1)*(l + 1)*(l + 4)**2
Factor 0*a**2 - 2/9*a**3 + 0 + 0*a.
-2*a**3/9
Let a = 8 + -8. Let u(p) be the third derivative of 1/240*p**5 + a*p + 2*p**2 - 1/480*p**6 - 1/24*p**3 + 1/96*p**4 + 0. Factor u(j).
-(j - 1)**2*(j + 1)/4
Let j = 16/7 + -73/35. Let m(r) be the third derivative of 1/3*r**3 + j*r**5 + 2*r**2 + 0*r - 1/3*r**4 - 1/15*r**6 + 0 + 1/105*r**7. Factor m(g).
2*(g - 1)**4
Let j be 1/((2 - 1)/3). Let t = j + -3. Factor t*k - 1/3*k**2 + 0.
-k**2/3
Let o(w) = 65*w**3 + w**2 - w + 1. Let s be o(1). Let b = s - 44. Factor -3 + 18*k**2 + b*k + 0 + 2 + 5.
2*(k + 1)*(9*k + 2)
Suppose z + 3 = -4*q + 18, 0 = q - z - 10. Suppose -q*u + 7 + 3 = 0. Factor -2*f**u + 2*f**3 - 3*f + f - f**4 + 3*f**4.
2*f*(f - 1)*(f + 1)**2
Let p(i) be the first derivative of i**6/60 + 13*i**5/120 + i**4/4 - 4*i**3/3 + 8. Let h(n) be the third derivative of p(n). Factor h(y).
(2*y + 3)*(3*y + 2)
Let u(f) be the first derivative of 0*f**2 + 3 + 1/6*f**4 + 0*f + 0*f**3. Factor u(a).
2*a**3/3
Let o(a) be the first derivative of 5*a**4/4 - 5*a**2/2 - 12. Factor o(d).
5*d*(d - 1)*(d + 1)
Let 26*z**2 - 40*z - 4*z**3 + 4*z**2 + 14*z**2 = 0. What is z?
0, 1, 10
Let t = -30 - -15. Let b be (((-3)/t)/1)/1. Factor -1/5*u**3 - 1/5 + b*u + 1/5*u**2.
-(u - 1)**2*(u + 1)/5
Let r(y) = y**3 + 6*y**2 - 7*y + 2. Let l = -7 + 0. Let x be r(l). Factor 0 - 3/2*b**3 + 1/2*b**x + 0*b.
-b**2*(3*b - 1)/2
Let n(q) be the second derivative of 8*q**6/15 + 7*q**5/5 + 2*q**4/3 - 2*q**3/3 + 18*q. Find y, given that n(y) = 0.
-1, 0, 1/4
Let j be 0 + -2 + (-85)/(-42). Let u(i) be the second derivative of 0 + 2*i + 0*i**2 + 0*i**3 + j*i**4 - 3/70*i**5. Factor u(k).
-2*k**2*(3*k - 1)/7
Let i = 80 - 78. Find c such that 0 + 2/5*c**i - 2/5*c = 0.
0, 1
Let w(d) be the second derivative of d**7/5040 - d**6/480 + d**5/120 - d**4/6 + 2*d. Let l(j) be the third derivative of w(j). Solve l(x) = 0.
1, 2
Let u(p) be the second derivative of -6*p + 10/3*p**3 + 2/3*p**6 + 0 + 2*p**2 + 2/21*p**7 + 2*p**5 + 10/3*p**4. Factor u(f).
4*(f + 1)**5
Let p = -985/3 + 335. Factor 0 + 17/3*m**3 - 4/3*m**4 + 4/3*m - p*m**2.
-m*(m - 2)**2*(4*m - 1)/3
Factor 8*j**2 - 21*j**3 + 4*j + 6*j**3 + j**2 + 2*j.
-3*j*(j - 1)*(5*j + 2)
Let h(i) = i**3 - 34*i**2 - 71*i - 32. Let k be h(36). Determine l, given that -3/4*l**k + 0 - 3/2*l**3 + 0*l**2 + 0*l = 0.
-2, 0
Determine m, given that 31*m**2 + 2*m**3 - 23*m**2 - m**3 - 5*m**3 - 4*m = 0.
0, 1
Suppose a = 5*r - 8, 0*r + 3*a = -r + 8. Solve -u + 0 - 9/2*u**r - 2*u**3 = 0.
-2, -1/4, 0
Let g = -686 + 689. Solve 1/4*q**2 + 0 + 0*q + 1/4*q**g = 0.
-1, 0
Let f(w) = w - 1. Let u(k) = -k**2 - 5*k - 2. Let b(x) = f(x) + u(x). Find a, given that b(a) = 0.
-3, -1
Let b(m) = m - 1. Let x(p) be the first derivative of p**4/4 + p**3/3 - 7*p**2/2 + 5*p - 8. Let g(n) = -10*b(n) - 2*x(n). What is q in g(q) = 0?
-2, 0, 1
Let z(k) be the second derivative of -k**6/30 + 3*k**5/20 - k**4/6 - 7*k. Let z(f) = 0. Calculate f.
0, 1, 2
Let y be -1 + 1/7*(-245)/(-21). Suppose -4/3*a**2 + 4/3*a**3 + 2/3 + y*a**4 - 2/3*a - 2/3*a**5 = 0. What is a?
-1, 1
Let u(a) be the second derivative of 2*a**6/15 + a**5/5 - 2*a**4/3 + 2*a. Suppose u(c) = 0. What is c?
-2, 0, 1
Let z(s) = s + 13. Let a be z(-9). Factor -6*w - 5*w**a - 2 - 2*w - 3*w - 14*w**3 - 3*w**3 - 21*w**2.
-(w + 1)**3*(5*w + 2)
Let b(x) = 35*x**3 - 280*x**2 - 15*x + 300. Let z(c) = -5*c**3 + 40*c**2 + 2*c - 43. Let s(u) = 3*b(u) + 20*z(u). Find w, given that s(w) = 0.
-1, 1, 8
What is f in -13*f**4 + 6*f - 3*f**3 + 3 - 8*f**4 + 18*f**4 - 3*f**3 = 0?
-1, 1
Let g(b) = 2*b**2 - b - 7. Let q be g(-5). Find z, given that -10*z + 2*z - 14*z**3 - 40*z**4 - 58*z**4 + q*z**2 - 28*z**3 = 0.
-1, 0, 2/7
Let k(i) be the second derivative of 2/39*i**3 + 0 + 0*i**2 + i - 1/26*i**4. Solve k(n) = 0.
0, 2/3
Let q = -30 - -30. Let t(f) be the first derivative of -2/5*f**5 - 4 + 0*f + 0*f**2 + q*f**3 + 1/2*f**4 - 2/3*f**6. Solve t(x) = 0 for x.
-1, 0, 1/2
Let z(x) be the first derivative of 4/35*x**5 + 0*x + 1 + 1/21*x**6 + 0*x**3 + 0*x**2 + 1/14*x**4. Determine i, given that z(i) = 0.
-1, 0
Let x = 42691/19779 + 12/347. Let t = x - -8/57. Solve t*p**2 + 0 - 4*p**3 + 16/3*p**5 - 1/3*p - 4/3*p**4 = 0 for p.
-1, 0, 1/4, 1/2
Suppose -v = -2*v + 8. Suppose 2*w + v = 4*i - 8, i = 2*w + 1. Factor 4/3*k**4 + 2*k**3 + 1/3*k**5 + 0 + 