s).
s**2*(s + 1)*(3*s + 1)/5
Let c be 3/2*2/9. Let j(x) be the third derivative of -1/30*x**5 - 1/6*x**4 + 0 + 0*x + x**2 - c*x**3. Let j(v) = 0. What is v?
-1
Factor 3/2 + 5/3*r + 1/6*r**2.
(r + 1)*(r + 9)/6
Let h(u) be the third derivative of -49*u**6/360 - 7*u**5/18 + 13*u**4/18 - 4*u**3/9 + 31*u**2. Let h(q) = 0. What is q?
-2, 2/7
Let a(l) = l**3 + 11*l**2 + 9*l - 6. Let f be a(-10). Suppose 0 = -4*i - 4, 3*y - y + 4*i = -f. Factor 0 - 3/5*z + y*z**2 + 3/5*z**3.
3*z*(z - 1)*(z + 1)/5
Let i(y) be the third derivative of -y**7/210 + y**6/30 - y**5/15 + 9*y**2. Let i(l) = 0. What is l?
0, 2
Let t(a) be the second derivative of -a**6/120 + a**5/20 + a**4/48 - a**3/6 - 25*a. Factor t(k).
-k*(k - 4)*(k - 1)*(k + 1)/4
Let 38 - 1 - 234*t**2 + 224*t**2 + 125*t + 28 = 0. Calculate t.
-1/2, 13
Let t(h) = -2*h**4 + 4*h**3 - 2*h**2 - 5. Let r(g) = -1. Let q(s) = 5*r(s) - t(s). Solve q(i) = 0 for i.
0, 1
Determine u so that 1/11 + 1/11*u**2 - 2/11*u = 0.
1
Let z(w) be the second derivative of w**5/20 + w**4/4 + w**3/3 - 10*w. Let z(g) = 0. What is g?
-2, -1, 0
Suppose -f = b - 3, -3*b + 0*f - f = -7. Find v, given that -v**2 + 0*v**5 - 2*v**2 - v**5 + v**3 + 2*v**b + v**4 = 0.
-1, 0, 1
Let y(t) = -8*t**2 + 8*t - 8. Let z(u) = -7*u**2 + 8*u - 8. Suppose -5*o = -48 + 18. Let c(m) = o*z(m) - 5*y(m). Determine j, given that c(j) = 0.
2
Suppose 0 = y + v + 2, 0*y = 4*y + v + 20. Let n be (-3)/5 - y/10. Factor 0*d + 3/4*d**3 + 3/4*d**2 + n.
3*d**2*(d + 1)/4
Let n = -5/4 + 31/12. Factor 4/3*q**2 + 0*q + 1/3*q**4 - n*q**3 + 0.
q**2*(q - 2)**2/3
Let p(r) be the first derivative of 3/16*r**4 + 0*r**2 + 3/10*r**5 + 0*r**3 + 3 - 3/8*r**6 + 0*r. Factor p(l).
-3*l**3*(l - 1)*(3*l + 1)/4
Let r(v) be the third derivative of v**9/60480 + v**8/20160 - v**5/15 + 3*v**2. Let g(m) be the third derivative of r(m). Let g(q) = 0. What is q?
-1, 0
Let p(c) be the first derivative of -1/4*c**3 - 1/20*c**5 + 2 - 1/8*c**2 + 0*c - 3/16*c**4. Factor p(w).
-w*(w + 1)**3/4
Let c(a) be the first derivative of -a**5/180 + a**4/72 + a**2/2 + 3. Let o(k) be the second derivative of c(k). Suppose o(x) = 0. Calculate x.
0, 1
Let x(c) be the third derivative of c**7/1365 - c**5/130 + c**4/78 - 25*c**2. Solve x(q) = 0.
-2, 0, 1
Let t(k) = -3*k**2 + 6*k. Let a(d) = d**2 - 2*d. Let u(x) = 17*a(x) + 6*t(x). Solve u(o) = 0.
0, 2
Let t be 0/(17 - 14 - (1 - -1)). Let s(c) be the third derivative of c**2 + 0 + 0*c + t*c**3 - 1/60*c**5 + 1/24*c**4. Solve s(w) = 0.
0, 1
Let m(v) = -10*v**4 - 16*v**3 - 4*v**2 + 2*v. Let l(j) = -40*j**4 - 64*j**3 - 17*j**2 + 7*j. Let s(o) = 2*l(o) - 9*m(o). Suppose s(f) = 0. What is f?
-1, 0, 2/5
Let p(v) be the second derivative of -3/10*v**2 - 9*v + 0 + 1/5*v**3 + 3/20*v**4. Suppose p(n) = 0. Calculate n.
-1, 1/3
Let w(b) be the first derivative of b**5/5 - 2*b**3/3 + b + 3. Factor w(v).
(v - 1)**2*(v + 1)**2
Suppose -6*r = 2*r - 3*r. Let l(k) be the third derivative of 1/120*k**6 + 0*k**3 - 1/24*k**4 + 0 - 2*k**2 + r*k + 0*k**5. Factor l(o).
o*(o - 1)*(o + 1)
Let y(g) be the first derivative of g**6/160 + g**5/80 - g**4/16 - 2*g**2 - 2. Let p(j) be the second derivative of y(j). Factor p(o).
3*o*(o - 1)*(o + 2)/4
Let k(v) = 6*v**2 + 15*v - 21. Let a = 1 - 10. Let c(w) = -3*w**2 - 7*w + 10. Let z(b) = a*c(b) - 4*k(b). Factor z(j).
3*(j - 1)*(j + 2)
Let f = 2165/1194 + 4/199. Factor -2*y - 1/2*y**3 - 2/3 - f*y**2.
-(y + 1)*(y + 2)*(3*y + 2)/6
Let v(i) = 6*i**2 + 9*i - 3. Let r(h) = -7*h**2 - 9*h + 4. Let g(k) = -3*r(k) - 4*v(k). Factor g(a).
-3*a*(a + 3)
Let m(g) = -g**3 - 6*g**2 - g - 3. Suppose -4*i - 34 = -5*r, i + 24 = -2*i + 3*r. Let y be m(i). Let -3/5*s**y + 3/5*s - 6/5 + 6/5*s**2 = 0. What is s?
-1, 1, 2
Let s(t) be the second derivative of -t**7/126 + t**6/30 - t**5/30 + 4*t. Find o such that s(o) = 0.
0, 1, 2
Let n = 3 - 3. Let d(g) be the first derivative of 0*g**2 - 2/3*g**3 - 2 - 1/4*g**4 + n*g. Suppose d(l) = 0. What is l?
-2, 0
Let x = 14 + -9. Let k(j) be the second derivative of 0*j**4 + 19/80*j**x - 1/6*j**3 + 0 - 2*j + 0*j**2 + 1/8*j**6. Suppose k(i) = 0. Calculate i.
-1, -2/3, 0, 2/5
Let w(o) be the third derivative of -o**8/336 + o**6/60 - o**4/24 + 2*o**2. What is k in w(k) = 0?
-1, 0, 1
Let t(r) be the third derivative of r**7/105 - 4*r**5/15 + 16*r**3/3 + 2*r**2 + 13*r. Factor t(q).
2*(q - 2)**2*(q + 2)**2
Suppose a = 3*m - 0*m - 14, -13 = 4*m + 5*a. Factor 2/11*w**2 + 0*w + 2/11*w**m + 0.
2*w**2*(w + 1)/11
Let f = 18 - 16. Let j(o) be the first derivative of -2 + f*o - 4/3*o**3 + o**2. Factor j(n).
-2*(n - 1)*(2*n + 1)
Let v(x) = -8*x**4 + 3*x**3 + 12*x**2 - 13*x + 3. Let d(r) = 15*r**4 - 5*r**3 - 25*r**2 + 25*r - 5. Let n(c) = -3*d(c) - 5*v(c). Factor n(s).
-5*s*(s - 1)**2*(s + 2)
Let w(n) = -n**2 + n + 1. Let a(s) = -2*s. Let x(c) = -a(c) - 2*w(c). Factor x(y).
2*(y - 1)*(y + 1)
Let w(g) = g + 2. Let l be w(3). Suppose -l*k + 20 = -k. Factor 1/2*p**k - 3/2*p**4 - 1/2*p**2 + 0*p + 3/2*p**3 + 0.
p**2*(p - 1)**3/2
Let c(i) be the first derivative of 1/5*i**5 - 1/3*i**3 + 0*i + 1/4*i**4 - 1/2*i**2 - 3. Factor c(t).
t*(t - 1)*(t + 1)**2
Solve 0*w - 1/6*w**2 + 0 = 0 for w.
0
Find h such that 0 + 2/5*h**2 + 0*h - 2*h**3 + 12/5*h**4 = 0.
0, 1/3, 1/2
Let l(i) be the first derivative of -1/8*i**4 + 1/4*i - 3 - 1/12*i**3 + 1/4*i**2. Factor l(p).
-(p - 1)*(p + 1)*(2*p + 1)/4
Let v be (2 + 1)/((-144)/(-32)). Factor -v*f**3 + 2/3 + 2/3*f - 2/3*f**2.
-2*(f - 1)*(f + 1)**2/3
Factor 2/3*u**3 + u**4 + 1/3*u**5 + 0*u**2 + 0*u + 0.
u**3*(u + 1)*(u + 2)/3
Determine q so that 0 - 8/3*q**2 + 2/3*q**3 + 8/3*q = 0.
0, 2
Let a be 6/2*(-25)/(-15). Determine f so that -2/5*f**a - 4/5*f**4 + 2/5*f + 4/5*f**2 + 0 + 0*f**3 = 0.
-1, 0, 1
Let c(i) be the second derivative of i**6/105 + 3*i**5/70 + i**4/14 + i**3/21 - 9*i. Factor c(a).
2*a*(a + 1)**3/7
Let o(m) = -3*m**4 + 3*m**3 + 4*m**2 + 2*m - 1. Let a(k) = 3*k**4 - 3*k**3 - 3*k**2 - 3*k. Let l(h) = -5*a(h) - 6*o(h). Factor l(x).
3*(x - 2)*(x - 1)*(x + 1)**2
Suppose -3*t + 4 = -t. Let z = 3 + 0. Solve -p**t + 2*p**z + p**2 = 0 for p.
0
Let -4 - 6*o + 6 - 2 + 15*o**2 = 0. Calculate o.
0, 2/5
Let b = 236/9 + -26. Factor -2/9*x**3 + 4/9*x + 0 - b*x**2.
-2*x*(x - 1)*(x + 2)/9
Let i(t) = -7*t + 51. Let m be i(7). Suppose -27/5 - 3/5*x**m + 18/5*x = 0. Calculate x.
3
Factor -2*t**4 - 4*t**4 - t**4 - 5*t**3 + 2*t**4.
-5*t**3*(t + 1)
Let r(d) = -d**3 - 2*d**2 + d + 3. Let t be r(0). Factor 3/4*s**t + 3/4*s**2 - 3/4 - 3/4*s.
3*(s - 1)*(s + 1)**2/4
Suppose 9*l + 135 = -5*f + 4*l, 4*f - l = -93. Let a be 2*2*(-4)/f. Factor 0 + a*p**2 - 2/3*p.
2*p*(p - 1)/3
Let y(d) = d**2 - 3*d + 1. Let m be y(3). Let i be 3/18*m*2. Let 0 + 4/3*p**4 - i*p**5 - 1/3*p - 2*p**3 + 4/3*p**2 = 0. Calculate p.
0, 1
Let q = -2/495 + 662/495. Suppose 2*u - 4 = 2. Factor 2*v**2 - 2/3*v**4 - 8/3*v - 8/3 + q*v**u.
-2*(v - 2)**2*(v + 1)**2/3
Find v, given that 3/4*v**3 + 60*v + 51/4*v**2 + 48 = 0.
-8, -1
Let v(j) = j + 1 - 10*j + 38*j**2 - j**3 - 19*j**2 - 12*j**2. Let z = 6 - 8. Let q(b) = b**3 - 13*b**2 + 18*b - 1. Let f(k) = z*q(k) - 5*v(k). Factor f(l).
3*(l - 1)**3
Let l(w) be the first derivative of -1/27*w**3 - 1/90*w**5 - 1/27*w**4 + 0*w**2 + 1 - 2*w. Let x(y) be the first derivative of l(y). What is s in x(s) = 0?
-1, 0
Let j = -7 + 11. Let k(r) be the first derivative of -1 + 0*r + 4/21*r**3 - 1/14*r**j - 1/7*r**2. Factor k(x).
-2*x*(x - 1)**2/7
Let k(p) be the third derivative of -p**9/15120 + p**7/420 + p**6/90 - p**5/30 - 7*p**2. Let y(w) be the third derivative of k(w). Factor y(v).
-4*(v - 2)*(v + 1)**2
Let v = 21 + -36. Let b = v - -17. Let -2*k**b - 2*k - 2/3 - 2/3*k**3 = 0. Calculate k.
-1
Suppose 7*z = 4*z. Determine j, given that z*j**2 + 2*j + 2*j**2 - 3 - 1 = 0.
-2, 1
Factor 0 - 2/5*h**2 - 2*h.
-2*h*(h + 5)/5
Let w(c) = 11*c**2 - 23*c + 29. Let s(t) = -t + 5 - t + 2*t**2 - 2*t. Let y(d) = -34*s(d) + 6*w(d). Factor y(u).
-2*(u - 1)*(u + 2)
Factor -4/7 + 2/7*k + 2/7*k**2.
2*(k - 1)*(k + 2)/7
Let i(k) = 6*k**4 + 30*k**3 + 65*k**2 + 59*k + 20. Let m(z) = -z**4 + z. Let p(s) = i(s) + m(s). Determine a, given that p(a) = 0.
-2, -1
Suppose 5*v = -4*p - 6 + 19, -p + 3 = v. Factor 12/7 - 3/7*z**p - 9/7*z.
-3*(z - 1)*(z + 4)/7
Let c be 4 + 50/45*-3. Let m(k) be the first derivative of 1/15*k**5 + 0*k + 0*k**3 - 1/4*k**4 + 1 + c*k**2. Factor m(s)