z + 1/6*z**3 + 0 - 1/36*z**v. Factor y(p).
-(p - 1)*(p + 1)*(3*p + 1)/3
Let r = 39 + -34. Let f(s) be the second derivative of 0*s**3 + 1/12*s**4 + 0*s**2 - 3*s + 0 - 1/20*s**r. Let f(v) = 0. Calculate v.
0, 1
Let c = 12 - 7. Let z be ((-6)/c)/((-10)/25). Suppose 9*p**4 - 2 + 0*p**4 - 6*p**2 - 3*p**z + 2 = 0. What is p?
-2/3, 0, 1
Let g(f) be the first derivative of -f**6/180 - f**5/60 + f**4/6 - 4*f**3/3 + 6. Let j(y) be the third derivative of g(y). Factor j(n).
-2*(n - 1)*(n + 2)
Let o(n) = -2*n**2 + 24*n + 32. Let t(d) = -d**2 + 16*d + 21. Let f(i) = -5*o(i) + 8*t(i). Factor f(z).
2*(z + 2)**2
Let a(x) = -x**5 - x**4 - x**2 - x - 2. Let y(n) = -8*n**5 - 10*n**4 - 2*n**3 - 5*n**2 - 4*n - 13. Let f(w) = -14*a(w) + 2*y(w). Find i such that f(i) = 0.
-1, 1
Let p = 2 + -2. Let n = 179/36 + -19/4. Suppose -n*r**4 + 2/9*r**2 + 0 + p*r + 2/9*r**5 - 2/9*r**3 = 0. What is r?
-1, 0, 1
Let y(f) be the first derivative of -2*f**5/25 - 3*f**4/10 + 4*f**2/5 - 3. Factor y(g).
-2*g*(g - 1)*(g + 2)**2/5
Let f(d) = -d**3 - d**2 - d. Let b(s) = -12*s**3 - 8*s**2 - 14*s + 1. Suppose 3*y + 110 = -2*y. Let o(v) = y*f(v) + 2*b(v). Factor o(q).
-2*(q - 1)**3
Let k(x) be the second derivative of -x**6/120 + 3*x**5/80 + x**4/12 - 9*x - 3. Suppose k(g) = 0. What is g?
-1, 0, 4
Suppose -31 + 6*c - 27*c**2 - 39*c**3 + 37 - 15*c**4 - 3*c = 0. What is c?
-1, 2/5
Let j = -931/3 + 311. Factor j - 2/3*v**2 - 2/3*v + 2/3*v**3.
2*(v - 1)**2*(v + 1)/3
Let m(g) = g + 10. Let w be m(-6). Let y(l) be the first derivative of 8/35*l**5 - 1 + l**2 + 2/7*l + 10/7*l**3 + 13/14*l**w. Let y(v) = 0. Calculate v.
-1, -1/4
Let d(m) = -9*m**2 - 12*m + 3. Let w(u) = 26*u**2 + 35*u - 10. Let a(i) = -17*d(i) - 6*w(i). Factor a(n).
-3*(n - 1)*(n + 3)
Suppose -7*i**4 + 6*i**3 + 7*i**4 + 9*i**5 + 10*i**4 + 5*i**4 = 0. Calculate i.
-1, -2/3, 0
Let u(w) = -w**3 + w**2. Let v be u(0). Let k(i) be the first derivative of -1/3*i**3 + 0*i + v*i**2 + 2. Factor k(r).
-r**2
Factor -2/5*q**3 - 4/5*q**2 + 0 - 2/5*q.
-2*q*(q + 1)**2/5
Let h(k) be the third derivative of -k**8/16800 + k**7/6300 + k**6/900 + k**4/3 + 10*k**2. Let i(z) be the second derivative of h(z). Factor i(m).
-2*m*(m - 2)*(m + 1)/5
Let p(r) be the second derivative of -r**9/10584 - r**8/2940 + r**6/630 + r**5/420 - 2*r**3/3 + 5*r. Let c(m) be the second derivative of p(m). Factor c(t).
-2*t*(t - 1)*(t + 1)**3/7
Suppose 2*x - 24 = -10*x. Factor 2/3*j + 0 + 1/3*j**x - 1/3*j**3.
-j*(j - 2)*(j + 1)/3
What is l in 12*l + 8*l**2 - 33*l**2 + 18*l**4 - 2 - 4*l**3 + 9*l**2 - 8*l**5 = 0?
-1, 1/4, 1
Suppose -11*w**3 - w + 4*w**5 + 5*w**3 + 4*w**2 - 2 + 8*w**3 - 2*w**4 - 5*w**5 = 0. What is w?
-2, -1, 1
Let s(y) be the second derivative of -5*y - 1/12*y**4 + 0 - 1/6*y**3 + 1/20*y**5 + 1/2*y**2. Factor s(p).
(p - 1)**2*(p + 1)
Let m(u) = 8*u**2 - 52*u + 20. Let p(a) = 3*a**2 - 21*a + 8. Let l(v) = -5*m(v) + 12*p(v). Solve l(i) = 0 for i.
1
Factor -2/7*k**2 + 12/7 - 2/7*k.
-2*(k - 2)*(k + 3)/7
Let r(h) be the second derivative of h**6/360 + h**5/120 - h**4/12 + h**3/2 + 3*h. Let a(i) be the second derivative of r(i). Let a(p) = 0. What is p?
-2, 1
Let d(z) be the second derivative of 7*z**7/3 + 14*z**6/45 - 31*z**5/10 + 2*z**4 - 4*z**3/9 - 6*z. Let d(k) = 0. Calculate k.
-1, 0, 2/7, 1/3
Let s(q) be the second derivative of 1/12*q**4 - 3*q + 0 - 1/6*q**3 - q**2. Factor s(h).
(h - 2)*(h + 1)
Let g(s) be the first derivative of 11/10*s**2 + 2/5*s + 14/15*s**3 - 18/25*s**5 - 5 - 9/20*s**4. Solve g(v) = 0 for v.
-2/3, -1/2, -1/3, 1
Let x(f) be the third derivative of -f**6/300 + f**5/50 + f**4/15 - 20*f**2. Factor x(k).
-2*k*(k - 4)*(k + 1)/5
Let a(l) be the first derivative of 1/6*l**4 - 1/30*l**5 - l**2 + 0*l - 1 + 0*l**3. Let m(u) be the second derivative of a(u). Find r, given that m(r) = 0.
0, 2
Let o be (6/(-14))/(2 - (-7)/(-2)). Factor -2/7*a**2 + 0 + 0*a + 4/7*a**3 - o*a**4.
-2*a**2*(a - 1)**2/7
Let w(a) = -2*a - 1. Let r be w(-2). Let o(k) be the first derivative of 3 - 3/2*k**2 + 1/6*k**r + 9/2*k. Factor o(q).
(q - 3)**2/2
Let r be (-19)/(-4) - 9/12. Suppose -r - 11 = -5*g. Factor -t**2 + 2*t**4 - t**4 + 3*t - t**g - 2*t.
t*(t - 1)**2*(t + 1)
Suppose 5*q - 3*q + c - 6 = 0, 3*q + 2 = 4*c. Let s = 3/73 - -61/292. Factor -s + 1/4*x**q + 0*x.
(x - 1)*(x + 1)/4
Let k(a) = -a**3 + a**2 - a - 695. Let m be k(0). Let h = m - -6263/9. Solve h + 2/9*u**2 + 8/9*u = 0.
-2
Let d be (2/8)/(38/76). Let -d*h**2 + 0*h + 1/2*h**3 + 0 = 0. Calculate h.
0, 1
Let p = -10 - -12. Factor 6*h**5 + 13*h**3 + 2 - p - 16*h**3 - 3*h**4.
3*h**3*(h - 1)*(2*h + 1)
Let o = -15 - -10. Let z(s) = -10*s - 6. Let t be z(o). Factor 10*a**5 + 31*a - 11*a**2 - 9*a**2 - 4 - 5*a - 44*a**4 - t*a**2 + 76*a**3.
2*(a - 1)**4*(5*a - 2)
Let u(y) = y**3 + 7*y**2 - y - 3. Let d be u(-7). What is s in 4/11*s + 0 - 4/11*s**3 + 2/11*s**2 - 2/11*s**d = 0?
-2, -1, 0, 1
Let s = 1/15 - -2/15. Let -2/5*p**3 + 1/5 + 1/5*p**5 + 1/5*p**4 - 2/5*p**2 + s*p = 0. Calculate p.
-1, 1
Let b(k) be the second derivative of -2*k**4/15 + 19*k**3/15 + k**2 + 3*k. Factor b(x).
-2*(x - 5)*(4*x + 1)/5
Let p(u) be the second derivative of -7*u + 0 - 1/14*u**5 + 0*u**2 + 2/21*u**3 + 1/14*u**4. Factor p(w).
-2*w*(w - 1)*(5*w + 2)/7
Let g = 4 - -2. Suppose -10 + g = -2*l. What is w in -2/5*w + 1/5*w**l + 1/5 = 0?
1
Let 0*y + 2/5*y**3 + 0 - 2/5*y**4 + 0*y**2 = 0. Calculate y.
0, 1
Factor -6/5 + 4/5*k - 2/15*k**2.
-2*(k - 3)**2/15
Let w(h) be the third derivative of h**8/6720 - h**7/1120 + h**6/480 - h**5/480 + 3*h**3/2 + 8*h**2. Let j(m) be the first derivative of w(m). Solve j(y) = 0.
0, 1
Let j(a) be the second derivative of a**7/14 - 7*a**6/30 - 9*a**5/20 + 7*a**4/12 + a**3 - 5*a. Find p, given that j(p) = 0.
-1, -2/3, 0, 1, 3
Suppose 6*f**3 - 8*f**2 + 6*f**3 - f**4 - 6*f**4 + 3*f**4 = 0. What is f?
0, 1, 2
Let x be 1 - (3 + 1 + -3). Suppose x + 0*o - 3/5*o**4 + 0*o**2 + 3/5*o**3 = 0. What is o?
0, 1
Determine l, given that -2/3*l**2 - 200/3 + 40/3*l = 0.
10
Let g be ((-5)/(-2) - -3)*2. Suppose g*b = 6*b. Determine p so that b + 2/7*p**2 + 0*p + 2/7*p**3 = 0.
-1, 0
Let m = 69/5 - 1651/120. Let f(h) be the second derivative of 1/3*h**4 + m*h**7 - 2/15*h**6 - 1/6*h**3 - 3/80*h**5 + 5*h + 0*h**2 + 0. Let f(w) = 0. What is w?
-1, 0, 2/7, 1, 2
Let t(i) = -48*i**3 + 132*i**2 - 48*i - 168. Let l(s) = 7*s**3 - 19*s**2 + 7*s + 24. Let u(a) = -20*l(a) - 3*t(a). Factor u(m).
4*(m - 3)*(m - 2)*(m + 1)
Factor -1/3 - 1/3*m**2 - 2/3*m.
-(m + 1)**2/3
Let t(n) be the first derivative of n**6/18 - n**5/5 + n**4/6 - 5. Factor t(g).
g**3*(g - 2)*(g - 1)/3
Let k(s) be the first derivative of -1/2*s**3 + 9 + 0*s + 0*s**2. Let k(b) = 0. What is b?
0
Let n(j) be the second derivative of -5*j**7/168 - 5*j**6/24 + 25*j**4/6 + 50*j**3/3 + 30*j**2 - 6*j. What is o in n(o) = 0?
-2, 3
Let d = -25 - -127/5. Find x, given that -4/5*x - d - 2/5*x**2 = 0.
-1
Let h be (1 + 0)/((-4)/(-8)). Let 0*g - 3*g**3 - 2*g**h + 2*g**5 - 3*g**3 + 2*g**4 + 4*g = 0. Calculate g.
-2, -1, 0, 1
Let j be 4*(-7)/266 - 40/(-19). Factor -s**3 + 0 + 1/3*s**5 - 5/3*s**j + 1/3*s**4 - 2/3*s.
s*(s - 2)*(s + 1)**3/3
Factor 0*h - 6/5*h**5 + 0*h**2 + 0 + 16/5*h**4 - 8/5*h**3.
-2*h**3*(h - 2)*(3*h - 2)/5
Let y = 0 - 0. Let -4/3*l**3 + 2/3*l**5 + y*l**2 + 0*l**4 + 2/3*l + 0 = 0. What is l?
-1, 0, 1
Factor -1 + 13*i**2 - 18*i**2 - 3*i - 7*i**2 - 7*i**3 + 3.
-(i + 1)**2*(7*i - 2)
Factor o + o**2 + 10 - 14*o + 9*o - 3*o.
(o - 5)*(o - 2)
Let k(p) be the second derivative of -p**4/12 + p**3/3 + 3*p**2/2 + 15*p. Factor k(g).
-(g - 3)*(g + 1)
Let t(d) = 7*d**5 + 3*d**4 - 3*d**3 + 5*d**2 + 6*d. Let v(g) = g**5 + g**4 - g**3 + g**2 + g. Let w(i) = -t(i) + 6*v(i). Determine a, given that w(a) = 0.
0, 1
Factor 27/2*p + 6 + 9*p**2 + 3/2*p**3.
3*(p + 1)**2*(p + 4)/2
Let v(t) be the first derivative of -t**6/12 + t**4/4 - t**2/4 - 1. Find w, given that v(w) = 0.
-1, 0, 1
Let q(k) be the second derivative of 0*k**2 - 3/20*k**5 - 6*k + k**3 + 0 + 1/4*k**4. Determine i, given that q(i) = 0.
-1, 0, 2
Let v = -2 + 4. Let j be (-32)/(-12) - v/(-6). Factor -2/9*u - 2/9*u**4 + 2/9*u**2 + 0 + 2/9*u**j.
-2*u*(u - 1)**2*(u + 1)/9
Let y be (1 + -1)/(17 + -15). Let s(r) be the third derivative of -1/600*r**6 - 4/15*r**3 + y*r - 1/10*r**4 - 1/50*r**5 + 0 + 3*r**2. Solve s(f) = 0 for f.
-2
Let n(d) be the third d