2 - 7 - 1/4*n**5 - 5/6*n**3 + 1/24*n**6 - 1/4*n + 5/8*n**4. Let p(o) = 0. Calculate o.
1
Let r be (-5)/(-25) + (-44)/(-5). Solve -4*x**3 - r*x + 5*x + 8*x = 0 for x.
-1, 0, 1
Let r(x) = 38*x - 2. Let u be r(3). Solve 3*c**2 + u*c - 112*c - 3*c**3 = 0 for c.
0, 1
Factor 14/5*q**2 - 32/5*q**4 + 0 + 16/5*q**3 + 2/5*q.
-2*q*(q - 1)*(4*q + 1)**2/5
Factor 4*i**2 + 0*i**2 + 8*i**3 + 0*i**2 + 4*i**4.
4*i**2*(i + 1)**2
Suppose -4*l = 4*b - 80, 4*b - 80 = 3*l + l. Suppose -4*w - 3*i = -b, -4*w + 4*i - 9 + 1 = 0. Find k, given that -2/3*k**3 + 2*k**w - 2*k + 2/3 = 0.
1
Let j(i) be the third derivative of 16*i**7/735 + 2*i**6/105 - 13*i**5/70 + 17*i**4/84 - 2*i**3/21 - i**2. Solve j(n) = 0 for n.
-2, 1/4, 1
Let n(l) = 3*l**2 + 7*l - 4. Let d(b) = -6*b**2 - 15*b + 9. Let m(z) = -4*d(z) - 9*n(z). Suppose m(p) = 0. What is p?
-1, 0
Factor -144*k**2 - 4*k**4 - 17*k**3 - 28*k**3 - 3*k**3.
-4*k**2*(k + 6)**2
Let o = -6 + 9. Suppose -o*m + 11 = -1. Let 0*c**2 + 0*c**3 + 0*c + 2/5*c**m + 0 = 0. What is c?
0
Let p(c) be the second derivative of 2*c + 0*c**5 + 0*c**4 + 1/180*c**6 + 0*c**3 + 0 + c**2 - 1/315*c**7. Let z(f) be the first derivative of p(f). Factor z(v).
-2*v**3*(v - 1)/3
Let b(q) be the second derivative of 1/10*q**6 + 1/12*q**4 + 0 - 3/20*q**5 - 1/42*q**7 - q + 0*q**2 + 0*q**3. Factor b(v).
-v**2*(v - 1)**3
Find a, given that -10/3*a + 2/9*a**2 - 32/9 = 0.
-1, 16
Let k(c) be the second derivative of 7*c - 1/50*c**5 + 0 + 0*c**3 + 0*c**2 + 1/30*c**4. Solve k(n) = 0.
0, 1
Let a(r) = r**3 + 3*r**2 - 1. Let c = 1 - 3. Let u be a(c). Factor -2/3*t**u - 2*t**2 - 2/3 - 2*t.
-2*(t + 1)**3/3
Factor 16/3*f**2 + 4/3*f**3 + 0 + 16/3*f.
4*f*(f + 2)**2/3
Suppose 0 = -3*v + 5*h - 4 - 1, -2*v = -2*h + 2. Find d such that 0*d + v - 1/5*d**2 = 0.
0
Let k(m) be the second derivative of 3/5*m**4 + 1/10*m**2 + 27/50*m**5 - 2*m + 9/50*m**6 + 0 + 1/3*m**3. Suppose k(z) = 0. What is z?
-1, -1/3
Let k be 4/24 + 1/30. Let i(m) be the first derivative of 0*m + 0*m**2 - 2/15*m**3 - 2/25*m**5 + k*m**4 + 1. Suppose i(l) = 0. Calculate l.
0, 1
Let o be (-9)/2*2/(4 - 22). Factor o*d**3 + 1 + 3/2*d**2 - 1/2*d**4 - 5/2*d.
-(d - 1)**3*(d + 2)/2
Let x(t) be the third derivative of t**7/3780 - t**6/1080 + t**4/24 - t**2. Let s(c) be the second derivative of x(c). Factor s(q).
2*q*(q - 1)/3
Let m(d) be the third derivative of 0 + 1/840*d**8 + 0*d + 1/525*d**7 - 1/150*d**5 - 1/300*d**6 - d**2 + 0*d**3 + 0*d**4. Suppose m(y) = 0. What is y?
-1, 0, 1
Let z(v) = -16 + 5 + 4*v**2 - 3*v - v. Let a(d) = 2*d**2 - 2*d - 6. Let s(y) = 11*a(y) - 6*z(y). Let s(t) = 0. What is t?
0, 1
Suppose 2*y = 2*u + 2, -11 = -5*y + 4*y - 4*u. Determine o, given that 0*o + 1/5*o**y + 0 - 1/5*o**2 = 0.
0, 1
Let q(o) = o**3 + o**2 - 7*o - 5. Let x be q(-5). Let n = 214/3 + x. Find w such that -2/3*w**2 - 2/3 + n*w = 0.
1
Factor 2/3*l**2 - 2/3*l + 0.
2*l*(l - 1)/3
Factor 6/7*k + 2/7*k**2 + 4/7.
2*(k + 1)*(k + 2)/7
Let b(a) = 10*a**3 - 13*a**2 - 40*a + 73. Let m(u) = -5*u**3 + 6*u**2 + 20*u - 36. Let i(s) = -4*b(s) - 7*m(s). Solve i(l) = 0.
-2, 2
Factor 6*o**3 + 19/6*o + 1/3 + 53/6*o**2.
(o + 1)*(4*o + 1)*(9*o + 2)/6
Suppose k + 3*k = 0. Factor 0 + 3*w + w**3 + 1 + k + 3*w**2 + 0*w**3.
(w + 1)**3
Let j = 60 + 39. Suppose -2*w = 35 - j. Factor 25/3*k**5 + 184/3*k**3 + 16/3*k - 40*k**4 + 0 - w*k**2.
k*(k - 2)**2*(5*k - 2)**2/3
Let -8/5*w - 8/5 - 2/5*w**2 = 0. Calculate w.
-2
Let p(f) be the third derivative of f**5/120 + 3*f**4/8 + 27*f**3/4 - 2*f**2. Let p(a) = 0. Calculate a.
-9
Suppose 5*y - 9 = 6. Find u such that -y + u + 3 + u**2 = 0.
-1, 0
Factor -1/2*j - j**3 + 0 - 9/4*j**2.
-j*(j + 2)*(4*j + 1)/4
Let j(n) be the first derivative of n**5/20 - 3*n**4/16 + n**3/4 - n**2/8 + 7. Factor j(y).
y*(y - 1)**3/4
Let u(v) = -11*v**2 + 15*v + 9. Let x(c) = -6*c**2 + 8*c + 5. Let d(h) = 4*u(h) - 7*x(h). Let f(w) = -w**2 + 3*w. Let y(l) = 2*d(l) - 3*f(l). Solve y(q) = 0.
-2, 1
Let x be -1*1*(-5 - -3). Suppose -5*t - n + 10 = 0, x*t + 2*n = -0*t - 4. Let 0*p**2 + 0 - 2/3*p - 2/3*p**5 + 0*p**4 + 4/3*p**t = 0. What is p?
-1, 0, 1
Let o(g) = 4*g**3 + 4*g**2 - 4*g + 10. Let q(k) = 3*k**3 + 3*k**2 - 3*k + 9. Let t(b) = 6*o(b) - 7*q(b). Suppose t(c) = 0. Calculate c.
-1, 1
Let i be (-3 - 37/(-4))/((-9)/(-54)). Factor 36*b - 135/2*b**2 - 6 + i*b**3.
3*(b - 1)*(5*b - 2)**2/2
Suppose -o - 3*o + 4 = 0, 3*k - o = 23. Let d be 2/k - (-132)/48. Suppose 9/5*f**2 + 9/5*f**d + 3/5*f + 0 + 3/5*f**4 = 0. What is f?
-1, 0
Suppose -14 = -4*w - 2*n, -6*w + 2*w = 4*n - 20. Let f be (-1)/(-3)*(w + -1). Factor 1/3 - f*u**2 + 0*u.
-(u - 1)*(u + 1)/3
Let p be -7 + -3 + (-15)/(-3). Let v be (-2)/p - (-6)/30. Factor -6/5*k**3 + v*k + 0 - 3/5*k**2.
-3*k*(k + 1)*(2*k - 1)/5
Let q be ((-24)/98)/((-66)/693). Suppose -5*f + 3 = 3*g, -4 - 4 = 4*f + 5*g. Suppose -q*x**4 + 10/7*x**2 + 2/7*x + 6/7*x**f + 0 = 0. What is x?
-1/3, 0, 1
Let -4*r**5 + 4*r**3 - 25*r**2 - r**4 + 21*r**2 + 5*r**4 = 0. Calculate r.
-1, 0, 1
Let l(n) be the third derivative of -n**5/75 - n**4/10 - 2*n**2. What is c in l(c) = 0?
-3, 0
Let m(h) be the first derivative of h**6/36 - h**4/6 - h**3/9 + h**2/4 + h/3 + 3. Determine k so that m(k) = 0.
-1, 1, 2
Let i be 164/(-110) - -2 - (-2)/22. Solve 48/5 + 24/5*k + i*k**2 = 0 for k.
-4
Suppose j = -4*j + 4*j. Let f(y) be the second derivative of j*y**3 + 0*y**2 + 0 - 8/15*y**6 - 16/21*y**7 - y - 1/10*y**5 + 0*y**4. Solve f(p) = 0.
-1/4, 0
Let j(k) be the third derivative of k**5/90 + k**4/36 + 13*k**2. Factor j(u).
2*u*(u + 1)/3
Let r be ((-297)/(-495))/((-4)/(-5)). Find m such that -3/4*m - 1/4*m**3 - 1/4 - r*m**2 = 0.
-1
Let b(j) = -j - 5. Let g be b(-7). Suppose 4*d + t + 0 = -1, 0 = -5*d - 2*t - g. Factor 2/3*n**2 + 2/3*n + d.
2*n*(n + 1)/3
Let n(y) be the second derivative of -y**5/170 - 5*y**4/102 - 8*y**3/51 - 4*y**2/17 - 4*y. Factor n(d).
-2*(d + 1)*(d + 2)**2/17
What is j in 19*j**3 + j + j**4 - 20*j**3 - j = 0?
0, 1
Let b(s) be the second derivative of -3*s + 1/3*s**2 + 0 + 1/18*s**4 + 2/9*s**3. Determine j so that b(j) = 0.
-1
Factor 1/4*m**3 + 0 - 1/4*m**4 - 1/4*m + 1/4*m**2.
-m*(m - 1)**2*(m + 1)/4
Suppose 6*p = 2*p. Let o be (6/(-4) + p)*-9. Let 3*i**4 + 3/2 + 21/2*i**3 + 15/2*i + o*i**2 = 0. What is i?
-1, -1/2
Let l be (12/(-50))/(24/(-40)). Suppose 2*r + 3*r = 0. Let r*t + 2/5*t**2 - l = 0. What is t?
-1, 1
Let y be 1/(-3 - (-22)/4). Let l = -2/165 + 101/165. Determine q so that -l*q + 3/5*q**3 - 2/5*q**2 + y = 0.
-1, 2/3, 1
Suppose 4*n - 4 = 4*p, -5*p + 19 = 2*n - 4. Factor 0 - 32/7*q**n - 2*q**5 - 8/7*q**3 + 0*q**2 + 0*q.
-2*q**3*(q + 2)*(7*q + 2)/7
Factor 4/5*d**5 + 0*d + 0*d**2 + 0 + 0*d**4 - 4/5*d**3.
4*d**3*(d - 1)*(d + 1)/5
Suppose 0*w = 3*w. Suppose -4*v - 2*d = -2*v, -5*d - 15 = w. Find o such that -2 - o**v + 2*o**2 + 5*o - 3*o - o**3 = 0.
-1, 1
Let f(o) = o**4 - 9*o**3 - 7*o**2 + 9*o + 10. Let w(x) = -3*x**4 + 18*x**3 + 15*x**2 - 18*x - 21. Let u(c) = 9*f(c) + 4*w(c). Suppose u(h) = 0. Calculate h.
-2, -1, 1
Let h be -1*(-5)/(-2)*-2. Let o be h*(0 + 3/5). Let -4*m**2 - 3*m**3 + 2*m**2 + 6*m**3 - m**o = 0. Calculate m.
0, 1
Let g be 69/21 - (-6)/(-21). Determine p, given that -2*p + 8 - g*p - 3*p + 5*p**2 - 3*p**2 = 0.
2
Let -1 + 1/3*n + 5/9*n**2 + 1/9*n**3 = 0. What is n?
-3, 1
Let q be ((-90)/(5 - 0))/(-2). Suppose 31 = q*f - 14. Suppose r**2 - 1/2*r**f - r**3 - 3/2*r**4 + 1/2 + 3/2*r = 0. Calculate r.
-1, 1
Factor -5*i**3 - 3 + 4*i + 5*i**2 - 2 + 3*i - 2*i.
-5*(i - 1)**2*(i + 1)
Let l(c) be the first derivative of 7*c**6/6 + 12*c**5/5 + 3*c**4/4 - 2*c**3/3 + 3. Factor l(g).
g**2*(g + 1)**2*(7*g - 2)
Determine q so that 1/2*q + 1 - 1/2*q**2 = 0.
-1, 2
Let o(s) be the first derivative of 2/3*s**2 + 2/9*s**3 + 2/3*s + 2. Let o(q) = 0. What is q?
-1
Suppose 0*v - 19 = -z + v, -z = -2*v - 20. Suppose 4*x = -5*f + 36, -3*x + 2 = 2*f - z. Factor 6*w**3 - 4*w**2 - 3*w**f - 5*w**2 + 6*w**2 + 0*w**2.
-3*w**2*(w - 1)**2
Let y(d) be the third derivative of d**5/20 - 7*d**4/8 - 4*d**3 + 6*d**2 + 1. Factor y(a).
3*(a - 8)*(a + 1)
Let z(f) be the third derivative of -f**7/1680 - f**6/720 + f**5/240 + f**4/48 + 5*f**3/6 + f**2. Let u(s) be the first derivative of z(s). Factor u(a).
-(a - 1)*(a + 1)**2/2
Let u(g) = -5*g**3 + 3*g**2 + 15*g - 7. Let l(b) = -10*b**3 + 5*b**2 + 30*b - 15. Let w(f) = 3*l(f) - 5*u(f). Factor w(y).
-