 + 1)**2/3
Factor -q - q**3 + 106*q**2 - 54*q**2 - 54*q**2.
-q*(q + 1)**2
Let s = -7 - -15. Suppose -s = -5*o + 3*o. Let -t**5 - t**5 - t**o + t**5 = 0. Calculate t.
-1, 0
Suppose 7*a + 20 = 2*a. Let w(l) = -5*l**5 + 5*l**3 - 11*l**2. Let f(o) = -o**5 + o**3 - 2*o**2. Let t(h) = a*w(h) + 22*f(h). Factor t(c).
-2*c**3*(c - 1)*(c + 1)
Let g = -96 - -673/7. Let v(c) be the second derivative of 0 - 2/7*c**2 - 1/42*c**4 - g*c**3 + 2*c. Factor v(i).
-2*(i + 1)*(i + 2)/7
Let r(c) = 15*c - 2. Let a be r(2). Suppose 3*j - a = -4*j. Factor 1/7*i + 3/7*i**3 - 3/7*i**2 + 0 - 1/7*i**j.
-i*(i - 1)**3/7
Let v be ((-216)/45 - -5) + (-2)/10. Let p(w) be the third derivative of 1/15*w**5 + 0*w**6 + 0 + w**2 + 0*w**4 - 1/3*w**3 - 1/105*w**7 + v*w. Factor p(x).
-2*(x - 1)**2*(x + 1)**2
Let w = 2267/74 - 5/37. Let f = w + -30. Let 1/2*o**3 + f*o + 0 + o**2 = 0. Calculate o.
-1, 0
Let g(j) be the first derivative of -49*j**4/4 - 77*j**3/3 - 16*j**2 - 4*j - 6. Factor g(q).
-(q + 1)*(7*q + 2)**2
Factor -4*c - 9 + c - 30*c**2 + 42*c**2.
3*(c - 1)*(4*c + 3)
Let j be 27320/5642 - (-4 + 6). Let o = j - -6/403. Factor -2/7*v**5 - 2/7 - 20/7*v**2 - 10/7*v**4 - o*v**3 - 10/7*v.
-2*(v + 1)**5/7
Suppose -2*c + 1/2*c**2 + 0 = 0. What is c?
0, 4
Suppose -5*v + 18 = 4*f, -4*f = -7*f + 6. Find n, given that -5*n**2 - n**2 - 4 - 7*n**v + 12*n + n**2 + 4*n**3 = 0.
1
Let m(k) = k**3 - k**2 - 3*k + 4. Let w be m(0). Let f(q) be the first derivative of -2 + 1/4*q**2 - 1/8*q**w + 1/20*q**5 - 1/4*q + 0*q**3. Solve f(j) = 0.
-1, 1
Let v(n) be the second derivative of -25*n**7/14 - 19*n**6/2 - 417*n**5/20 - 97*n**4/4 - 16*n**3 - 6*n**2 + 13*n. Suppose v(r) = 0. What is r?
-1, -2/5
Factor 168*f**3 - 9*f**2 - 6*f + 15*f - 165*f**3 - 3.
3*(f - 1)**3
Let k(o) be the first derivative of -1/8*o**2 + 1/2*o + 1 - 1/12*o**3. Factor k(b).
-(b - 1)*(b + 2)/4
Let v(o) be the second derivative of -5*o**7/126 + o**6/6 - o**5/4 + 5*o**4/36 + 9*o. Factor v(c).
-5*c**2*(c - 1)**3/3
Suppose -4*r - 2*f + 7*f = -3, 4*r + 5*f - 13 = 0. Let z = 349 - 345. Suppose 1 + 15/2*k - 10*k**5 + 5/2*k**3 - 33/2*k**z + 31/2*k**r = 0. Calculate k.
-1, -2/5, -1/4, 1
Determine o, given that 1/3*o**2 + 2/3 - o = 0.
1, 2
Factor 3*k**3 - 2 + 0*k - k**3 - 2 - 2*k + 4*k**2.
2*(k - 1)*(k + 1)*(k + 2)
Let w be -4*(3 + (-115)/10). Let k = w + -31. Factor 4*f**2 + 2*f**5 - 2/3 + 22/3*f**4 + 28/3*f**k - 2/3*f.
2*(f + 1)**4*(3*f - 1)/3
Factor -10*k**3 - 5/2*k**2 + 0 + 15/2*k**4 + 5*k.
5*k*(k - 1)**2*(3*k + 2)/2
Let m(o) be the third derivative of 0*o**3 - 1/15*o**5 + 0 + 0*o + 2*o**2 + 0*o**4 + 1/30*o**6. Suppose m(n) = 0. What is n?
0, 1
Let v(s) = -5*s**4 - 9*s**3 - 6*s**2 + 2*s - 2. Let y(j) = j**4 - j + 1. Let d(w) = v(w) + 2*y(w). Factor d(n).
-3*n**2*(n + 1)*(n + 2)
Let k(l) = l**3 - 6*l**2 + 5*l + 4. Suppose -5*j = 5*w - 15, 17 = 5*j + 2*w + 2*w. Let r be k(j). Determine v so that v - r*v + 2*v**3 + 2*v - v**5 = 0.
-1, 0, 1
Suppose 3*i + i - 12 = 0. Factor 4*s**3 + 4*s**2 + 4*s**4 + 2*s**i + 0*s + s**5 + s.
s*(s + 1)**4
What is i in 2/7*i**2 + 22/7*i - 24/7 = 0?
-12, 1
Let v(m) = -17*m**3 - 18*m**2 - 13*m - 12. Let s(x) = 16*x**3 + 19*x**2 + 14*x + 11. Let u(r) = -7*s(r) - 6*v(r). Factor u(f).
-5*(f + 1)**2*(2*f + 1)
Let m(t) = t**3 + t**2 - t + 2. Suppose 0 = -2*u - 5 + 1. Let v be m(u). Solve 0*k**2 + 1/4*k**3 + 0 - 1/4*k**4 + v*k = 0 for k.
0, 1
Let g(x) be the second derivative of x**5/80 - 11*x**4/48 + 19*x**3/24 - 9*x**2/8 + 3*x. Factor g(p).
(p - 9)*(p - 1)**2/4
Determine h so that 1/2*h + 1/2*h**3 + 0 + h**2 = 0.
-1, 0
Let v(q) = q**2 + q - 4. Let b(f) = f - 3. Let n(s) = -4*b(s) + 3*v(s). Let w be n(-1). Solve 2/5*i**w + 4/5*i - 4/5*i**3 + 0 - 2/5*i**2 = 0.
-1, 0, 1, 2
Suppose q + 3*i - i = 11, 3*q - 5*i - 11 = 0. Suppose q*l = 2*l + 15. Let 2/7*k**5 + 0*k**2 + 2/7*k**l + 0 + 0*k - 4/7*k**4 = 0. What is k?
0, 1
Let g(h) = -3*h**2 - 15*h - 6. Let u(s) = -2*s**2 - 15*s - 5. Let x(y) = 5*g(y) - 6*u(y). Factor x(p).
-3*p*(p - 5)
Let q(f) = f**3 + 6*f**2 + 3*f + 2. Let z be q(-5). Factor -64 - 4*s**3 + 52*s**2 + 63*s**3 - 48*s + s**5 - z*s**3 + 12*s**4.
(s - 1)*(s + 1)*(s + 4)**3
Let j be 4/10 + 39/15. What is p in 6*p**4 + 2*p**j - 7*p**4 - 3*p**3 = 0?
-1, 0
Let f(h) be the third derivative of h**7/420 + h**6/90 + h**5/60 + h**3/2 + 3*h**2. Let u(y) be the first derivative of f(y). Suppose u(p) = 0. What is p?
-1, 0
Solve -4/3*f**4 + 0 - f**2 + 0*f + 7/3*f**3 = 0.
0, 3/4, 1
Let v(c) be the second derivative of c**7/3780 + c**3/6 + 3*c. Let a(o) be the second derivative of v(o). Solve a(t) = 0 for t.
0
Suppose 6 = 5*a - 4. Let s(p) be the third derivative of -p**a + 0 + 0*p + 1/10*p**5 + 1/3*p**3 - 1/3*p**4. Factor s(h).
2*(h - 1)*(3*h - 1)
Let u(n) be the third derivative of -2*n**7/105 - n**6/30 + 8*n**2. Determine l so that u(l) = 0.
-1, 0
Let i(m) be the first derivative of -m**9/6048 + m**7/560 + m**6/360 + 4*m**3/3 - 2. Let k(s) be the third derivative of i(s). Find j such that k(j) = 0.
-1, 0, 2
Let p(j) be the second derivative of -j**8/840 + j**6/90 - j**4/12 + j**3/6 - 10*j. Let g(a) be the second derivative of p(a). Determine d so that g(d) = 0.
-1, 1
Let z(v) = 12*v**2 + 9*v - 6. Let b(k) = -23*k**2 - 19*k + 13. Let n(x) = -6*b(x) - 13*z(x). Factor n(o).
-3*o*(6*o + 1)
Let p(k) be the second derivative of -k**6/120 + k**5/40 - 3*k**3/2 + 6*k. Let v(u) be the second derivative of p(u). Determine h, given that v(h) = 0.
0, 1
Solve 21 - 9/2*h**2 + 57/2*h = 0 for h.
-2/3, 7
Let y(q) = -q**4 + 8*q**3 + 36*q**2 + 42*q + 17. Let b(u) = 9*u**3 + 36*u**2 + 42*u + 18. Let j(m) = 2*b(m) - 3*y(m). Let j(w) = 0. What is w?
-1, 5
Let o(t) = 9*t**3 - 6*t**2 - 3*t + 3. Let g(d) = d**4 - d + 1. Let v(z) = -3*g(z) + o(z). Find s, given that v(s) = 0.
0, 1, 2
Solve 0 - 3/7*v**5 + 0*v**2 + 0*v - 3/7*v**4 + 6/7*v**3 = 0.
-2, 0, 1
Let p(o) = -o**5 - o**4 - o**3 + o - 1. Let x(t) = 7*t**5 - 3*t**4 + t**3 + 6*t**2 - 5*t + 3. Let g(m) = -3*p(m) - x(m). Let g(j) = 0. Calculate j.
-1, 0, 1/2, 1
Let c(v) be the third derivative of v**7/840 - v**5/120 + v**3/24 + 10*v**2. Factor c(j).
(j - 1)**2*(j + 1)**2/4
Let x = 1856/5 - 370. Let i = -98 - -102. Factor -2/5*k + x*k**3 + 0 - 4/5*k**i + 0*k**2.
-2*k*(k - 1)**2*(2*k + 1)/5
Let f(v) be the second derivative of v**5/25 - 2*v**3/5 - 4*v**2/5 + 7*v. Factor f(j).
4*(j - 2)*(j + 1)**2/5
Let i(f) = -f + 2*f**2 + 0*f**2 - 2*f. Let h(g) = 17*g**2 - 7*g**2 - g - 15*g. Let s(v) = 3*h(v) - 16*i(v). Determine m, given that s(m) = 0.
0
Let r = 2 + 2. Let t(l) = l**3 - 5*l**2 - 6*l + 2. Let i be t(6). Factor -o - r*o**2 + 2*o**i + o**2.
-o*(o + 1)
Let g(w) be the first derivative of w**7/945 + w**6/270 + w**5/270 + 3*w**2/2 + 5. Let b(y) be the second derivative of g(y). Factor b(m).
2*m**2*(m + 1)**2/9
Factor 3/5*r - 3/5*r**2 + 3/5 - 3/5*r**3.
-3*(r - 1)*(r + 1)**2/5
Let w(k) = k**3 - 5*k**2 - 3*k + 4. Let t be w(6). Let u = 24 - t. Factor 4/3 + 5/3*o**u - 1/3*o**3 - 8/3*o.
-(o - 2)**2*(o - 1)/3
Let c(k) = 4*k**2 + 2. Let d be c(1). Determine j, given that 4*j - 2/3*j**2 - d = 0.
3
Let j(i) be the third derivative of 0*i - 4*i**2 - 1/40*i**6 + 0*i**3 - 1/8*i**4 + 0 - 1/10*i**5. Find f, given that j(f) = 0.
-1, 0
Find w, given that 5*w**4 - 10*w**4 - 4*w + w**4 + 4*w**3 + 4*w**2 = 0.
-1, 0, 1
Let f(i) be the third derivative of -i**7/630 - i**6/360 - 12*i**2. Factor f(o).
-o**3*(o + 1)/3
Let r be 4/(-28) - 1/(-7). Let a(o) be the first derivative of 1/6*o**3 - 1 + 1/10*o**5 + 0*o**2 - 1/4*o**4 + r*o. Factor a(f).
f**2*(f - 1)**2/2
Factor 1/4*s**2 + 0 + 1/4*s**3 - 1/2*s.
s*(s - 1)*(s + 2)/4
Let y = 62 - 147/2. Let o = 12 + y. Find c such that 0*c**2 + o*c**3 + 0*c**4 - 1/4*c - 1/4*c**5 + 0 = 0.
-1, 0, 1
Let m be (3 + -4)/(1/(-7)). Let c(b) = -9*b**5 - b**3 - 5*b - 5. Let d(g) = 13*g**5 + g**3 + 7*g + 7. Let y(x) = m*c(x) + 5*d(x). Factor y(t).
2*t**3*(t - 1)*(t + 1)
Let c(t) = -36*t**2 + 15*t + 9. Let b = 12 + -17. Let y(f) = 18*f**2 - 8*f - 5. Let d(m) = b*y(m) - 3*c(m). Suppose d(l) = 0. Calculate l.
-2/9, 1/2
Let o be (2 - 2) + ((-57)/9)/(-19). Factor 2/3*c**2 + o + 1/6*c**3 + 5/6*c.
(c + 1)**2*(c + 2)/6
Let i(c) be the second derivative of 7*c**5/20 - 25*c**4/18 + 2*c**3/3 + 4*c**2/3 + 8*c. What is b in i(b) = 0?
-2/7, 2/3, 2
Suppose -a**4 + 0*a**3 + 1 - 3*a**3 + 5*a**3 - 2*a = 0. What is a?
-1, 