Determine i so that a(i) = 0.
-1, 2
Let i(n) be the first derivative of 1/9*n**2 - 4/9*n + 2/27*n**3 - 2. Let i(l) = 0. What is l?
-2, 1
Factor 34/9*c + 4/3 + 10/9*c**2.
2*(c + 3)*(5*c + 2)/9
Let c(b) be the third derivative of -b**8/20160 + b**6/720 + b**5/20 - 2*b**2. Let u(m) be the third derivative of c(m). Factor u(j).
-(j - 1)*(j + 1)
Let y(n) be the first derivative of 4 + 8/3*n + 6*n**3 + 4/15*n**5 + 22/3*n**2 + 25/12*n**4. Find v such that y(v) = 0.
-2, -1/4
Let o(l) be the second derivative of l**5/50 + 2*l**4/15 + l**3/3 + 2*l**2/5 + 11*l. Factor o(u).
2*(u + 1)**2*(u + 2)/5
Let w be (6/(-10))/((-1)/5). Factor 9*s**4 - 6*s**4 - 3*s**5 - 3*s**2 - 2*s**4 + w*s**3 + 2*s**4.
-3*s**2*(s - 1)**2*(s + 1)
Suppose 5*z + 19 - 259 = 0. Factor 6*l**2 + 0 - z*l**3 - 147/2*l**5 + 231/2*l**4 + 0*l.
-3*l**2*(l - 1)*(7*l - 2)**2/2
Solve 0 + 1/6*q**2 - 5/6*q = 0 for q.
0, 5
Let s(y) be the third derivative of -y**5/60 - y**4/12 + y**3/2 + 6*y**2. Factor s(w).
-(w - 1)*(w + 3)
Let o be 0/(-1) + 7 + -5. Factor -2 + 4*q**2 - q**o - q**2.
2*(q - 1)*(q + 1)
Let v be 2/52*(12/(-4) + 19). Factor -v + 8/13*z - 2/13*z**2.
-2*(z - 2)**2/13
Let y be (-10)/20 - 26/(-36). Factor 2/9*a - y*a**2 + 0.
-2*a*(a - 1)/9
Let p = 93 + -91. Factor 0 + 1/5*t**p - 2/5*t.
t*(t - 2)/5
Let t be ((-9)/21)/(2*1/(-7)). Factor -1/2*m**3 - 1/2 - t*m**2 - 3/2*m.
-(m + 1)**3/2
Let -4/3*x + 0 + 4/3*x**3 + 0*x**2 = 0. Calculate x.
-1, 0, 1
Let i(f) = f + 13. Let k be i(-9). Find o, given that 0 - 2/7*o**3 + 2/7*o**2 + 2/7*o - 2/7*o**k = 0.
-1, 0, 1
Let g(b) be the third derivative of -1/210*b**6 + 0*b + 1/735*b**7 + 0*b**3 + 0*b**4 + 0*b**5 + 0 - 7*b**2. Determine p, given that g(p) = 0.
0, 2
Let a(z) = 23*z**5 - 12*z**3 + 17*z**2 + 23*z + 17. Let l(c) = 8*c**5 - 4*c**3 + 6*c**2 + 8*c + 6. Let p(y) = -6*a(y) + 17*l(y). Suppose p(m) = 0. What is m?
-1, 0, 1
Suppose 0 + 1/2*v**2 + 5/2*v**4 + 2*v**3 + 0*v + v**5 = 0. What is v?
-1, -1/2, 0
Suppose 3 = -4*m + 39. Factor 2 + 14*g + 4*g**2 - 1 - m*g.
(g + 1)*(4*g + 1)
Let s(h) = -2*h + 6. Let v be s(5). Let o be 1/(v/((-8)/5)). Determine p so that -8/5*p - o*p**2 - 8/5 = 0.
-2
Let q(c) = 4*c**3 + 14*c**2 + 26*c + 18. Suppose -i - 7 = -2, 11 = y - 4*i. Let h(v) = 17*v**3 + 57*v**2 + 105*v + 73. Let l(m) = y*q(m) + 2*h(m). Factor l(r).
-2*(r + 2)**3
Let c(y) be the first derivative of -y**3/4 - 9*y**2/8 + 40. Factor c(l).
-3*l*(l + 3)/4
Let c(n) = -n + 5. Let f be c(2). Let 12*s - 6*s**f + 4*s**4 - 2*s**2 - 8*s - 2*s**4 + 2*s**5 = 0. What is s?
-2, -1, 0, 1
Let z = -37/21 - -52/21. Find g such that 2/7*g**4 + 0*g + 0 - 2/7*g**2 - z*g**3 + 5/7*g**5 = 0.
-1, -2/5, 0, 1
Let k(g) be the first derivative of 2/5*g**2 - 6/5*g - 7 + 2/15*g**3. Solve k(c) = 0 for c.
-3, 1
Solve -8/5*z - 2/15*z**2 - 24/5 = 0.
-6
Let a(h) be the first derivative of -3*h - 11/2*h**2 + 6 + 3/4*h**4 - 5/3*h**3. Find v such that a(v) = 0.
-1, -1/3, 3
Let r(q) be the third derivative of -7/24*q**4 + 0*q - 1/42*q**7 + q**2 + 1/3*q**3 + 0 + 1/20*q**5 + 7/120*q**6. What is m in r(m) = 0?
-1, 2/5, 1
Factor -2*b**2 + 25*b - 32 - 43*b + 34*b.
-2*(b - 4)**2
Suppose 3*d = 16 - 13. Let f(v) be the first derivative of -1/6*v**2 - 1/3*v + 2/3*v**3 + d. Factor f(u).
(2*u - 1)*(3*u + 1)/3
Let -3/4*g**3 + 3/4*g - 3/4*g**2 + 3/4 = 0. What is g?
-1, 1
Let j(w) be the first derivative of -10 - 17*w**4 - 22*w**2 - 9*w**5 - 8*w + 3*w**5 - 28*w**3 + 2*w**5. Factor j(b).
-4*(b + 1)**3*(5*b + 2)
Let l(a) be the third derivative of -a**5/54 + 2*a**4/27 - a**3/9 + 3*a**2. Factor l(z).
-2*(z - 1)*(5*z - 3)/9
Let g = 19824 - 1684996/85. Let b = g - 2/17. Factor 12/5*q**3 - b*q**2 + 16/5*q**5 + 0 - 24/5*q**4 + 0*q.
2*q**2*(2*q - 1)**3/5
Suppose 3*k - 3*y = 9, 4*k + 0*y + 3*y = 5. Solve -2/3*o**k + 0 + 0*o = 0 for o.
0
Let v be (1/2 - 1)*0. Let b(a) be the first derivative of -1/10*a**4 + 0*a**2 + 2/25*a**5 + v*a - 2 + 0*a**3. Factor b(p).
2*p**3*(p - 1)/5
Let h = 7 - 4. Let r(a) be the second derivative of a - 17/15*a**6 + 0 - 11/3*a**4 - 8/3*a**h - a**2 - 14/5*a**5 - 4/21*a**7. Let r(p) = 0. What is p?
-1, -1/4
Suppose a - 16 = -3*a, 2*w + 5*a + 64 = 0. Let i be (-264)/w + (-4)/14. Factor 6*d**4 - 2*d**5 - 2 + 6*d + 2*d**3 - 4*d**2 - i*d**3 + 0*d**4.
-2*(d - 1)**4*(d + 1)
Suppose -3/8*h**2 + 3/8 + 0*h = 0. Calculate h.
-1, 1
Let a(v) be the third derivative of 0*v**6 + 0 + 5*v**2 - 1/105*v**7 + 1/10*v**5 + 0*v**3 + 0*v - 1/6*v**4. Factor a(w).
-2*w*(w - 1)**2*(w + 2)
Let -8/5*j**4 + 0*j - 2/5*j**5 - 4/5*j**2 - 2*j**3 + 0 = 0. What is j?
-2, -1, 0
Solve 4*y - 3 - 6 + 9 + 24 - 4*y**2 = 0 for y.
-2, 3
Let d be (-12)/(-2) + 1 + -3. Factor d*s**3 + s**2 + 0*s - 5*s + s - 1.
(s - 1)*(s + 1)*(4*s + 1)
Suppose -4*s = 5*c - 6, -c = 3*c + 8. Factor 0 + s - 32*u + 12*u**3 + 69*u**3 + 45*u**2.
(u + 1)*(9*u - 2)**2
Let q(i) be the second derivative of 1/60*i**4 + 0 + 0*i**2 + 4*i - 1/100*i**5 + 0*i**3. Let q(w) = 0. What is w?
0, 1
Find x such that 2*x**4 + 7*x**2 - 2 + 2 - 5*x**2 - 4*x**3 = 0.
0, 1
Solve -1/2*s**2 - 1/6*s**4 - 1/2*s**3 + 0 - 1/6*s = 0 for s.
-1, 0
Let r(b) be the third derivative of b**6/200 - 3*b**4/40 - b**3/5 - 17*b**2. Factor r(o).
3*(o - 2)*(o + 1)**2/5
Let i(w) be the first derivative of -2/5*w**5 - 2 + 0*w + 2*w**2 + 2*w**4 - 10/3*w**3. What is o in i(o) = 0?
0, 1, 2
Let g(k) be the third derivative of k**6/40 - k**5/10 + 12*k**2. Solve g(c) = 0 for c.
0, 2
Let 3/4*n - 69/4*n**2 + 3/2 + 15*n**3 = 0. What is n?
-1/4, 2/5, 1
Let y(k) be the second derivative of -k**5/100 - k**4/12 - k**3/15 + 4*k**2/5 + 7*k + 3. Factor y(v).
-(v - 1)*(v + 2)*(v + 4)/5
Let r(u) be the first derivative of -u**2 - 1/120*u**5 + 0*u + 2 + 0*u**4 + 1/12*u**3. Let x(z) be the second derivative of r(z). Factor x(f).
-(f - 1)*(f + 1)/2
Let r(m) be the second derivative of -1/24*m**3 + 0*m**5 + 0*m**2 + 1/168*m**7 - 1/60*m**6 + 0 + 1/24*m**4 - 5*m. Factor r(w).
w*(w - 1)**3*(w + 1)/4
Let m(l) = 2*l - 8. Let f be m(10). Suppose -2*w**4 - 17*w**2 - f*w**3 - w**2 + 0*w**2 = 0. What is w?
-3, 0
Factor -1/2*i**3 + 0*i**2 + 6*i - 8.
-(i - 2)**2*(i + 4)/2
Let n(a) = 8*a**4 - 9*a**3 + 7*a**2 - 3*a + 3. Let h(d) = -9*d**4 + 8*d**3 - 8*d**2 + 4*d - 4. Let z(s) = -3*h(s) - 4*n(s). Find g such that z(g) = 0.
0, 2/5, 2
Let p(v) be the first derivative of -v**4/10 + 16*v**3/45 - 7*v**2/15 + 4*v/15 + 9. Factor p(y).
-2*(y - 1)**2*(3*y - 2)/15
Let s(j) be the second derivative of 1/30*j**6 - 2*j + 0*j**3 + 1/3*j**4 + 1/5*j**5 + 0 + 0*j**2. Factor s(w).
w**2*(w + 2)**2
Let h(y) be the first derivative of 16/3*y**3 + 10*y**2 + y**4 + 8*y + 3. Determine c, given that h(c) = 0.
-2, -1
Let k(u) be the first derivative of -3*u**4/4 - 19*u**3 - 120*u**2 + 300*u + 47. Factor k(t).
-3*(t - 1)*(t + 10)**2
Let u(s) = -4*s**3 - 2*s + 6*s**2 + 3*s**3 - 8 + 2*s**3. Let g be u(-6). Factor -1/4*b**3 + 0 + 0*b**2 + 0*b + 1/4*b**g.
b**3*(b - 1)/4
Let h(s) be the first derivative of -s**4/10 + 4*s**3/15 - s**2/5 - 6. What is a in h(a) = 0?
0, 1
Let c(v) be the first derivative of 2*v**3/33 + 2*v**2/11 - 6*v/11 - 5. Let c(u) = 0. What is u?
-3, 1
Let y(p) = -p**3 - 3*p**2 + 4*p + 3. Suppose 0 = 5*w - 10 + 25. Let z(n) = -n**2 + n + 1. Let s(i) = w*z(i) + y(i). What is u in s(u) = 0?
-1, 0, 1
Let o be 2/(-18)*(1 - 4). Determine r so that -o*r**2 + 0*r + 1/3 = 0.
-1, 1
Let h be 1 + (6 - 20/4). Let f(n) be the second derivative of 0 - 5/12*n**4 - 2*n**3 + n - h*n**2. Solve f(v) = 0.
-2, -2/5
Factor -2*q**3 - q**3 - 3*q + 3*q - 9*q**2.
-3*q**2*(q + 3)
Let k = 247/56 + -33/8. What is j in -4/7 - 10/7*j - 8/7*j**2 - k*j**3 = 0?
-2, -1
Suppose 2*r + 9 = 5*w, 5*r + 4*w - 7 = 20. Factor 3*l**3 + 4 - l**3 - 4*l**r + 6*l.
-2*(l - 2)*(l + 1)**2
Let k(l) be the first derivative of 8*l**2 - 5*l**6 + 9 - 62/5*l**5 + 56/3*l**3 + 0*l + 5*l**4. Let k(r) = 0. What is r?
-2, -2/3, -2/5, 0, 1
Find b such that -4/3*b + 2/3*b**3 + 0 - 2/3*b**2 = 0.
-1, 0, 2
Factor 9/4*n**2 - 11/4*n**3 - 1/4*n + n**4 - 1/4.
(n - 1)**3*(4*n + 1)/4
Let b(v) be the first derivative of 5*v**4/4 - v**3/3 - v**2/2 - 3*v - 1. Let y(a) = -6*a**3 + a**2 + a + 4. Let m(i) = -5*b(i) - 4*y(i). Solve m(f) = 0.
-1, 1
Let q = -48 + 50. Factor 4/5*j - 2/5*j**q - 2/5.
-2*(j - 1)**2/5
Let w(q) be the second derivative of 1/9*q**3 + 0*q**2 - 1/3*q**4 - 5*q + 0 + 3/10*q**5. Determine j, given that w(j) = 0.
0