e of z**7/63 + z**6/45 - z**5/15 + z + 3. Let l(r) be the first derivative of a(r). Find i, given that l(i) = 0.
-2, 0, 1
Let r = -7 + 12. Suppose -4*b - r*t = b - 30, 0 = b + 4*t - 18. Factor -2*v**2 + 0*v**b + 0*v**2 + 4*v.
-2*v*(v - 2)
Let g(s) be the first derivative of s**3/3 - 3*s**2/2 - 4*s + 7. Solve g(t) = 0 for t.
-1, 4
Let r(z) be the third derivative of 1/12*z**6 + 0*z**4 - 3*z**2 + 0*z - 4/105*z**7 + 0 + 0*z**3 - 1/30*z**5. Factor r(f).
-2*f**2*(f - 1)*(4*f - 1)
Let g = 86 - 80. Let m(n) be the second derivative of 4*n + g*n**2 + 9/4*n**4 + 0 + 6*n**3. Let m(v) = 0. What is v?
-2/3
Let u(g) = -6*g**5 + 24*g**4 - 45*g**3 - 75*g**2 - 3. Let v(f) = -5*f**5 + 25*f**4 - 45*f**3 - 75*f**2 - 2. Let x(r) = 2*u(r) - 3*v(r). Factor x(d).
3*d**2*(d - 5)**2*(d + 1)
Let f = 394/3 - 131. Let k = 4/19 - -7/57. Suppose f - 2/3*v + k*v**2 = 0. What is v?
1
Let s(k) = -2*k + 18. Let x be s(9). Let 0*p - 3*p**3 + 3/2*p**2 + x + 3/2*p**4 = 0. What is p?
0, 1
Suppose -2/9 - 16/9*j**5 - 2/9*j**2 + 4/9*j**4 - 10/9*j + 26/9*j**3 = 0. Calculate j.
-1, -1/2, -1/4, 1
Let b = -60 - -60. Solve 0 - 2/3*p + b*p**3 + 1/3*p**4 - p**2 = 0 for p.
-1, 0, 2
Let -21/4 - 3/4*h**2 + 6*h = 0. What is h?
1, 7
Let d be (-3)/(-6)*(-2 - 6). Let i be (-6)/63 + d/(-6). Suppose -2/7*l**2 + 0 + i*l = 0. What is l?
0, 2
Let x(s) be the second derivative of 0*s**4 - 1/30*s**6 + 1/10*s**5 - 1/3*s**3 + 3*s + 1/2*s**2 + 0. Factor x(p).
-(p - 1)**3*(p + 1)
Let h be (8/14)/(24/84). Factor f**5 + f**2 - 3*f**h + 3*f**4 - 2*f + f**3 - f**2.
f*(f - 1)*(f + 1)**2*(f + 2)
Let r be 16/(-696)*473/8. Let d = -3/116 - r. Let -d - 2*f - 2/3*f**2 = 0. Calculate f.
-2, -1
Let -8/7 - 10/7*o - 2/7*o**2 = 0. What is o?
-4, -1
Let u(v) be the third derivative of -1/390*v**5 - 1/78*v**4 + 1/13*v**3 + 8*v**2 + 0*v + 0. What is a in u(a) = 0?
-3, 1
Let s(u) be the third derivative of 2*u**8/105 + 8*u**7/175 - 7*u**6/300 - 23*u**5/150 - 3*u**4/20 - u**3/15 + 6*u**2. Find r such that s(r) = 0.
-1, -1/4, 1
Let q be (-25)/(-10)*(-1 + 244/240). Let b(w) be the second derivative of 1/12*w**3 + 0 + q*w**4 + 0*w**2 + 3*w. Let b(k) = 0. What is k?
-1, 0
Let n be (-1)/(1/(9/(-3))). Solve -13/3*z**2 - 1/3*z**4 - 2*z**n - 4*z - 4/3 = 0 for z.
-2, -1
Suppose -6 = -3*k + 3. Suppose 4*g - 3*d - 5 = -4*d, 3*d = -5*g + 1. Factor 4/3 - 2/3*z**k + 2*z**g + 10/3*z - 2/3*z**4.
-2*(z - 2)*(z + 1)**3/3
Suppose 0 = -t - 4*t + 10. Solve -2*h**t - 2 - h + 6*h - h = 0 for h.
1
Suppose 0 = -x + 3*j - 3, 2*x + j = -3*j + 4. Factor 0*h**2 + 0*h + 0 - 1/5*h**5 - 1/5*h**4 + x*h**3.
-h**4*(h + 1)/5
Let j(n) = -6*n**3 + 7*n**2 - n - 13. Let i(b) = b**3 - b**2 + b + 1. Let u(w) = -10*i(w) - 2*j(w). Factor u(q).
2*(q - 2)**2*(q + 2)
Let l(b) be the second derivative of -3*b**5/4 + 9*b**4/4 - 12*b**3/5 + 6*b**2/5 - 4*b. Factor l(y).
-3*(y - 1)*(5*y - 2)**2/5
Let s be ((-1 - 4) + 0)*384/(-1440). Let f(h) be the first derivative of -1/3*h**2 - 2/9*h**3 + s*h + 3. Factor f(z).
-2*(z - 1)*(z + 2)/3
Find y such that -56*y**3 - 95*y**4 - 2 + 2 - 8*y**5 + 36*y**2 - 8*y + 131*y**4 = 0.
0, 1/2, 1, 2
Let i be ((-1)/(-4))/(2/(-16)*-3). Factor 2/3 + i*a**2 - 4/3*a.
2*(a - 1)**2/3
Let x(o) be the third derivative of -o**5/210 + o**4/42 + o**3/7 + 7*o**2. Solve x(n) = 0 for n.
-1, 3
Factor -6*c**2 - 2 - 5*c - 4*c + c - 2*c**3 + 2*c.
-2*(c + 1)**3
Let f(r) be the first derivative of -r**4/14 + r**2/7 + 12. Factor f(u).
-2*u*(u - 1)*(u + 1)/7
Let h = 7 + -5. Solve -j**4 + 7*j**3 - h*j**2 + 4*j**2 + 7*j**4 - j**3 + 2*j**5 = 0 for j.
-1, 0
Let q(n) be the first derivative of 8/3*n + 2/3*n**2 + 8 + 1/18*n**3. Factor q(c).
(c + 4)**2/6
Suppose 0*q = q - 2. Factor -9*u - 6*u**2 + q*u**3 + 2*u**3 - u**3 + 0*u.
3*u*(u - 3)*(u + 1)
Let x(d) be the first derivative of d**4/48 - d**2/8 - 4*d + 6. Let f(i) be the first derivative of x(i). Let f(h) = 0. What is h?
-1, 1
Factor 2/13*m**4 - 10/13*m**3 - 8/13*m + 0 + 16/13*m**2.
2*m*(m - 2)**2*(m - 1)/13
Determine z, given that 0 + 0*z - 2/5*z**4 + 4/5*z**3 + 0*z**2 = 0.
0, 2
Suppose -5*b - 1 = 2*n + 7, 5*b = 2*n + 8. Suppose -8 = -4*u - b*u. Find q, given that -1/2*q - 1/2*q**u + 0 = 0.
-1, 0
Let t = 37 - 33. Suppose t*x - 29 + 5 = 0. Find g such that -1/2 - 3/4*g + 11/2*g**2 - 5*g**4 - 21/4*g**5 + x*g**3 = 0.
-1, -2/7, 1/3, 1
Let w(x) be the first derivative of -2*x**5/15 - x**4/3 + 2*x**2/3 + 2*x/3 - 7. Factor w(r).
-2*(r - 1)*(r + 1)**3/3
Let v(h) = 9*h**5 + 41*h**3 + 8*h**2 - 61*h - 19. Let y(p) = -4*p**5 - 20*p**3 - 4*p**2 + 30*p + 10. Let g(b) = -6*v(b) - 13*y(b). Determine t so that g(t) = 0.
-2, -1, 2
Suppose 3*y - 2*d = 2, 4*y - 4*d + 9 = d. Suppose -8*l - y + 7*l**2 + 5*l**3 - 2*l**3 - 8*l**2 = 0. Calculate l.
-1, -2/3, 2
Let z(b) be the second derivative of -1/18*b**4 + 2/3*b**2 + 1/9*b**3 + 0 + b. Let z(a) = 0. Calculate a.
-1, 2
Suppose 0*i + 9*i - 27 = 0. Factor -2/3*w**4 + 2/3*w**2 - 4/3*w + 0 + 4/3*w**i.
-2*w*(w - 2)*(w - 1)*(w + 1)/3
Let z(m) be the third derivative of m**5/180 - m**4/24 + m**3/9 - 19*m**2. Factor z(i).
(i - 2)*(i - 1)/3
Let s(o) = -o**3 - o - 1. Let f(p) = 8*p**3 + 11*p**2 + p + 4. Let i(d) = -f(d) - 4*s(d). Factor i(m).
-m*(m + 3)*(4*m - 1)
Suppose -q + 5*q - 16 = 0. What is i in -3 + 6*i**2 - 5*i - i + q*i**2 - 13*i**2 = 0?
-1
Factor -3/4*b**2 + 1 + 1/4*b**3 + 0*b.
(b - 2)**2*(b + 1)/4
Suppose 0 = 4*o - 6 - 2. Let -1/4 + 1/2*b - 1/4*b**o = 0. Calculate b.
1
Let z(j) be the second derivative of j**6/40 + 3*j**5/80 - 3*j**4/16 - 5*j**3/8 - 3*j**2/4 - 19*j. Suppose z(y) = 0. Calculate y.
-1, 2
Let j(s) = -4*s + 1. Let d be j(1). Let v be 1/3 - 8/d. Suppose v*m**3 - 2*m**2 - m**3 - 4*m**2 + 4*m = 0. Calculate m.
0, 1, 2
Let b(t) be the first derivative of -10*t**3/21 - 2*t**2/7 + 26. Factor b(l).
-2*l*(5*l + 2)/7
Determine f so that 3*f**2 + 24 + 0*f**3 + 16*f - 5*f**2 - f**3 - f**3 = 0.
-2, 3
Let x be (4/10)/((8/20)/2). Let d(w) be the second derivative of 21/20*w**5 + 1/2*w**3 - 3/10*w**6 + 0 - 2*w + 0*w**x - 5/4*w**4. Factor d(q).
-3*q*(q - 1)**2*(3*q - 1)
Let s(n) be the third derivative of n**7/56 + n**6/60 - n**5/8 - n**4/4 - 5*n**3/6 - 7*n**2. Let c(k) be the first derivative of s(k). Factor c(f).
3*(f - 1)*(f + 1)*(5*f + 2)
Solve 119*w - 238*w + 119*w - 3*w**4 + 3*w**2 = 0 for w.
-1, 0, 1
Factor -2/15*f**3 + 0*f + 0 + 0*f**2.
-2*f**3/15
What is x in -3/5*x**5 + 0*x**3 - 9/5*x**4 + 12/5*x**2 + 0 + 0*x = 0?
-2, 0, 1
Let s(t) be the first derivative of 2/3*t**3 - 4*t - 3 + t**2. Let s(n) = 0. What is n?
-2, 1
Let s(g) be the first derivative of 1/4*g**2 - 1/12*g**3 - 1/4*g - 2. Determine w, given that s(w) = 0.
1
Let l = 11 + -5. Suppose c + l = 4*c. Factor -1 + 6 + 2*z**c - 3 + 3*z - 7*z.
2*(z - 1)**2
Let q(w) = 15*w**2 + 5*w - 15. Let u(y) = -8*y**2 - 3*y + 8. Let j(v) = 3*q(v) + 5*u(v). Suppose j(m) = 0. What is m?
-1, 1
Factor 50/9*t**2 - 38/9*t**3 + 14/9*t**4 - 32/9*t + 8/9 - 2/9*t**5.
-2*(t - 2)**2*(t - 1)**3/9
Let j(a) = -a**3 + 10*a**2 - 8*a - 9. Let i be j(9). Factor 4*n**2 - 6*n + 5*n**2 + i + 1.
(3*n - 1)**2
Factor 18*o - 54 - 3/2*o**2.
-3*(o - 6)**2/2
Factor -5/6*r**3 + 5/6*r + 1/3*r**2 - 1/3.
-(r - 1)*(r + 1)*(5*r - 2)/6
Let b(u) be the third derivative of -u**7/525 + u**6/100 - u**5/75 + u**2. Let b(i) = 0. What is i?
0, 1, 2
Let g(x) be the third derivative of x**7/630 - x**6/90 + x**5/36 - x**4/36 + 5*x**2. Factor g(s).
s*(s - 2)*(s - 1)**2/3
Let z(j) be the second derivative of j**4/3 + 4*j**3 + 3*j. Find o such that z(o) = 0.
-6, 0
Let y(h) be the third derivative of h**7/1260 + h**6/240 - h**4/36 - 9*h**2. Factor y(w).
w*(w - 1)*(w + 2)**2/6
Let b(y) be the first derivative of 2 + 196/5*y**3 + 343/10*y**4 + 16/5*y + 84/5*y**2. Let b(o) = 0. Calculate o.
-2/7
Let l(f) = -f + 6. Let w be l(5). Let b be (8/5)/(w/10). Factor b*g - 10*g**2 - 9 + 1 + 0*g + 2*g**3.
2*(g - 2)**2*(g - 1)
Suppose -3*n + 0*n = -15. Let k be (0 + 0)*n/(-10). Determine b so that -2*b**3 + 0*b**4 + 0*b**4 + 2*b**5 + k*b**5 = 0.
-1, 0, 1
Let q = 8 + -29/4. Determine t so that -3/4*t**2 + 3/2*t - q = 0.
1
Let u(h) be the second derivative of -h**8/4480 - h**7/840 - h**6/480 + h**4/12 - 2*h. Let b(l) be the third derivative of u(l). Let b(g) = 0. Calculate g.
-1, 0
Let j(i) = -6*i**2 - i + 5. Let l(a) = a**2 + 3 - 2*a**2 - 2. Let d = -1 + -3. Let r(q) = d*j(q) + 22*l(q). Let r(x) = 0. What is