 1/180*j**5 + 0*j**4 + 2*j**2 + 0*j + 0*j**3. Let d(a) = 0. What is a?
0
Let i(g) be the first derivative of -4 + g**3 + 13*g + 4*g**2 - 5*g - 3*g**3. Determine h so that i(h) = 0.
-2/3, 2
Let i = 3 - 3. Let h(t) = 2*t**2 - 9*t - 3. Let o be h(5). Factor -1/3*a**3 + i*a + 0*a**o + 0 + a**4.
a**3*(3*a - 1)/3
Let h be 2*((-33)/44 + 7/4). Factor -1/3*a**h + 0 + 0*a.
-a**2/3
Let o(q) be the third derivative of -q**7/1890 + q**6/270 - q**5/108 + q**4/108 - 3*q**2. Factor o(v).
-v*(v - 2)*(v - 1)**2/9
Let k be (-6)/12 - (-63)/6. Suppose n = -4*n + k. Let 3/2*r**n - r**4 - 1/2*r + 1/2*r**3 - 1/2 = 0. What is r?
-1, -1/2, 1
Let w(l) be the third derivative of 0*l + 0*l**4 - l**2 + 1/240*l**6 + 0 + 1/120*l**5 + 0*l**3. Factor w(s).
s**2*(s + 1)/2
Let t = -7/5 - -31/15. Let w be (-10)/(-100)*5/3*8. Suppose w - 2/3*o**2 + t*o = 0. What is o?
-1, 2
Let n be (4/(-8))/(3/(-138)). Let k = -21 + n. Factor 2/11*p + 4/11 - 2/11*p**k.
-2*(p - 2)*(p + 1)/11
Factor 4*m**2 - 3*m - m + 8 - 4*m - 20.
4*(m - 3)*(m + 1)
Let t(v) be the first derivative of -v**6/540 - v**5/270 + v**4/108 + v**3/27 + 3*v**2/2 - 2. Let c(m) be the second derivative of t(m). Factor c(w).
-2*(w - 1)*(w + 1)**2/9
Let j(a) be the first derivative of -a**4/4 - 5*a**3/3 + a**2/2 + 5*a + 8. Suppose j(z) = 0. What is z?
-5, -1, 1
Let a(q) be the third derivative of -q**5/60 - q**4/8 - q**3/3 + 27*q**2. Factor a(m).
-(m + 1)*(m + 2)
Let t(s) be the first derivative of -21*s**5/80 - s**4/8 + 7*s**3/8 + 3*s**2/4 - s + 2. Let k(p) be the first derivative of t(p). Suppose k(i) = 0. What is i?
-1, -2/7, 1
Let x be 8/30 - 12/48. Let f(m) be the third derivative of m**2 + 1/12*m**4 + x*m**5 + 0*m**3 + 0*m + 0. Factor f(l).
l*(l + 2)
Let p be (-4)/(-6)*(-9)/(-2). Factor x**p - 4*x**3 + 4*x**3 + 0*x - x.
x*(x - 1)*(x + 1)
Suppose 9*c - 5*u - 65 = 4*c, 5*c + 4*u - 20 = 0. Find w such that c*w**4 + 8/3 - 32/3*w - 14/3*w**2 + 50/3*w**3 = 0.
-2, -1, 1/4, 2/3
Factor 3/5*l + 0*l**2 - 1/5*l**3 - 2/5.
-(l - 1)**2*(l + 2)/5
Suppose 0 = 3*l + 4*a - 12, 0 = 2*a. Find z such that 0 - 3/7*z**l + 0*z + 0*z**3 + 3/7*z**2 = 0.
-1, 0, 1
Factor -2*j**2 + 21*j**4 - 3*j**5 + 4*j**5 - 25*j**4 + 5*j**3.
j**2*(j - 2)*(j - 1)**2
Let t(g) be the first derivative of g**4/22 - 4*g**3/33 + g**2/11 - 17. Find z such that t(z) = 0.
0, 1
Solve -1/6*y**3 + 0 + y - 1/6*y**2 = 0.
-3, 0, 2
Let i(s) be the second derivative of -2*s**7/21 + 2*s**6/15 + s**5/5 - s**4/3 - 10*s. Factor i(n).
-4*n**2*(n - 1)**2*(n + 1)
Determine m, given that 12*m**2 - 5 + 8*m**4 - 24*m**3 + 15*m**5 + 5 - 29*m**4 = 0.
-1, 0, 2/5, 2
Suppose 5*b - 2*z = 4, 4*z = -2*b - 3*b - 8. Factor -2/5*o**3 + 0 + 0*o + b*o**2.
-2*o**3/5
Let v(k) = 8*k**3 - 6*k**2 - 24*k - 16. Let m(b) = 23*b**3 - 18*b**2 - 71*b - 47. Let n(y) = -6*m(y) + 17*v(y). Factor n(c).
-2*(c - 5)*(c + 1)**2
Let y(b) = b**2 - 1. Let u(l) be the second derivative of -l**4/3 - l**3/6 + 3*l**2/2 - 2*l. Let o(d) = u(d) + 3*y(d). Factor o(v).
-v*(v + 1)
Let n(a) be the first derivative of a**3 + 9*a**2/2 + 6*a - 8. Let n(d) = 0. Calculate d.
-2, -1
Let b(h) = -5*h**2 - 34*h - 4. Let p(f) = 45*f**2 + 305*f + 35. Let i(z) = -35*b(z) - 4*p(z). Determine t so that i(t) = 0.
-6, 0
Suppose 4 = 4*j - 2*j. Let i(y) = 43*y**3 - 7*y**4 - 4*y + j*y**3 - 11 - 23*y**4. Let g(m) = -6*m**4 + 9*m**3 - m - 2. Let t(b) = 11*g(b) - 2*i(b). Factor t(l).
-3*l*(l - 1)**2*(2*l + 1)
Suppose 0 = 3*o + 3*k + 45, 2*o + 3*k + 10 = -20. Let y be (2/o)/(1/(-3)). Factor 0*h**3 + 4/5*h**2 - 2/5*h**5 + y*h - 4/5*h**4 + 0.
-2*h*(h - 1)*(h + 1)**3/5
Suppose 0 = -2*u + 4, -4*z = 5*u + 9 - 39. Suppose g = -4*a - 14, -z*g + a - 3*a = -2. Factor -4/3*p**3 + 0*p**g + p - 1/3.
-(p + 1)*(2*p - 1)**2/3
Let s be 51/136*(1 - 2/6). Let h be 0 + 0 - (-2)/8. Factor -h*x**4 - 1/4*x**3 + s*x**2 + 1/4*x + 0.
-x*(x - 1)*(x + 1)**2/4
Let k(h) be the second derivative of -h**7/14 - h**6/10 + 3*h**5/4 - 3*h**4/4 - 18*h. Solve k(m) = 0.
-3, 0, 1
Let j(c) be the third derivative of c**8/56 + c**7/28 - 3*c**6/80 - c**5/8 - c**4/16 - 47*c**2. Determine s so that j(s) = 0.
-1, -1/4, 0, 1
Let u(o) be the first derivative of -2*o + 0*o**2 + 4 - 1/6*o**4 + 2/3*o**3 - 1/10*o**5. Let x(g) be the first derivative of u(g). Factor x(h).
-2*h*(h - 1)*(h + 2)
Let m(j) be the third derivative of j**8/1848 + j**7/1155 - j**6/330 + 8*j**2. Let m(u) = 0. What is u?
-2, 0, 1
Let x(k) be the second derivative of 2*k - 5/28*k**4 + 1/7*k**3 + 0 + 0*k**2 - 1/70*k**6 + 3/35*k**5. Determine f so that x(f) = 0.
0, 1, 2
Let u(y) be the second derivative of -y**7/420 + y**5/20 - y**4/6 - y**3/2 - 3*y. Let n(t) be the second derivative of u(t). Factor n(i).
-2*(i - 1)**2*(i + 2)
Let t(d) be the first derivative of -2*d**6/15 + 4*d**5/25 + 2*d**4/5 + 12. Factor t(h).
-4*h**3*(h - 2)*(h + 1)/5
Let g = 1/248 + 1237/744. Let k = g - 4/3. Factor -4/3 + 8/3*v - 5/3*v**2 + k*v**3.
(v - 2)**2*(v - 1)/3
Suppose 3*x - 3 = -3*r + 18, -6 = -2*r. Let b(a) be the second derivative of 0 + 0*a**3 + 2*a + 0*a**2 + 1/30*a**x. Factor b(i).
2*i**2/5
Factor -8*f + 2 - f**3 + 10*f**2 - 6*f**2 + 3*f.
-(f - 2)*(f - 1)**2
Let g(u) = 8*u**2 + 5*u - 17. Let x(c) = 7*c**2 + 4*c - 16. Let f(b) = 4*g(b) - 5*x(b). Solve f(p) = 0.
-2, 2
Let i(y) be the second derivative of 5*y**4/48 - 5*y**3/12 + 5*y**2/8 + 17*y. Suppose i(b) = 0. Calculate b.
1
Let g be 4/2 + (-39)/9 + 3. Factor -2/3*v**4 + 0 + g*v**3 - 2/3*v + 2/3*v**2.
-2*v*(v - 1)**2*(v + 1)/3
Let p be (-10)/(-12) + (-10 - (-770)/84). Find h, given that 3/4*h**2 - 3/4*h**4 + 3/4*h**5 + p*h + 0 - 3/4*h**3 = 0.
-1, 0, 1
Let x = -165/2 + 84. Suppose -2*j = 4*s - j - 13, j = -3*s + 10. Factor 1/2*q**s + 1/2 + x*q + 3/2*q**2.
(q + 1)**3/2
Let i(q) be the second derivative of q**7/2520 - q**6/180 + q**5/40 - q**4/6 + 5*q. Let z(m) be the third derivative of i(m). Determine c, given that z(c) = 0.
1, 3
Let h(g) = -g**2 - 6*g + 3. Let k be h(-6). Suppose 24*v**k - v - 7*v**2 + v**2 - 3*v - 26*v**3 = 0. What is v?
-2, -1, 0
Let u(h) be the second derivative of -4*h + 1/4*h**4 + 6*h**2 - 2*h**3 + 0. What is i in u(i) = 0?
2
Let x(b) be the third derivative of 13*b**8/1680 + b**7/70 + b**6/300 - 8*b**2. Solve x(p) = 0.
-1, -2/13, 0
Factor -16*b + b**2 + 14*b + 25 - 8*b.
(b - 5)**2
Let z(c) be the second derivative of 0*c**4 + 0 - 2*c - 1/150*c**5 - 1/3*c**3 + 0*c**2 - 1/900*c**6. Let n(w) be the second derivative of z(w). Factor n(y).
-2*y*(y + 2)/5
Let x(n) be the third derivative of -n**6/30 - n**5/5 - n**4/2 - 2*n**3/3 - 13*n**2. Determine i, given that x(i) = 0.
-1
Let r(j) = -4*j**2 - 7*j + 8. Let i(h) be the second derivative of -h**4/12 - h**3/3 + h**2 - h. Let k(u) = 22*i(u) - 6*r(u). Factor k(t).
2*(t - 2)*(t + 1)
Let x = -4709/7 - -673. Factor 2/7*n**5 + 4/7*n**4 + x*n**3 + 0 + 0*n**2 + 0*n.
2*n**3*(n + 1)**2/7
Suppose 3*h + h = 0. What is j in j + 5*j - 3 + h*j - 3*j**2 = 0?
1
Let l(p) be the first derivative of -2*p**4 + 4*p**2 - 2*p + 1 + 2/3*p**3. Let l(g) = 0. What is g?
-1, 1/4, 1
Let n = 5061/20 + -253. Let z(j) be the third derivative of 0*j + 3*j**2 - n*j**5 - 1/24*j**4 + 1/32*j**6 + 0*j**3 - 1/210*j**7 + 0. Factor z(s).
-s*(s - 2)**2*(4*s + 1)/4
Let o(t) be the third derivative of -t**7/1785 + t**6/1020 + 5*t**2. Solve o(i) = 0 for i.
0, 1
Let j(u) = u**3 + 5*u**2. Let n be j(-5). Suppose -2*y - 2 + 12 = n. Factor -5*q**5 + q**y + 3*q**5.
-q**5
Suppose 3*u = -t + 27, 3*t + 0*u = -3*u + 75. Factor 24*o - t*o + 2*o**2 - 2*o**4.
-2*o**2*(o - 1)*(o + 1)
Let j(z) be the second derivative of 0*z**3 + 0 - 1/36*z**4 + 0*z**2 + 5*z. Find g such that j(g) = 0.
0
Let z(a) be the third derivative of 2*a**2 + 0*a + 0*a**3 + 0*a**5 + 1/420*a**6 + 0 - 1/84*a**4. Factor z(i).
2*i*(i - 1)*(i + 1)/7
Let o = -323/4 + 81. Determine u so that -u**3 + 0 - o*u + u**2 = 0.
0, 1/2
Factor -1/4*p**2 + p + 0.
-p*(p - 4)/4
Let z(t) be the second derivative of t**7/42 + t**6/30 - t**5/10 - t**4/6 + t**3/6 + t**2/2 + 7*t. Solve z(x) = 0 for x.
-1, 1
Let z be 2 + 0 + 2 + 1. Suppose 3*y - 6*y = -4*w - 9, w - 15 = -z*y. What is l in -3/2*l**y + 0 - 1/2*l + 3/2*l**2 + 1/2*l**4 = 0?
0, 1
Let h(t) be the second derivative of -5*t**8/672 + t**7/140 + t**6/120 - 5*t**2/2 - 4*t. Let s(a) be the first derivative of h(a). Suppose s(j) = 0. What is j?
-2/5, 0, 1
Let q(a) = -2*a**2 - 6*a - 5. Let h(v