i + 2)**2/5
Let t be 2 + ((-1883)/(-135))/(-7). Let w(o) be the third derivative of 0*o**4 - 1/189*o**7 + 0*o**3 - t*o**5 + 2*o**2 + 0 + 0*o + 7/540*o**6. Factor w(q).
-2*q**2*(q - 1)*(5*q - 2)/9
Let x(h) be the third derivative of 0*h + 0 + 0*h**4 + 0*h**3 - 1/60*h**5 - 2*h**2. Factor x(s).
-s**2
Let b(d) be the third derivative of -5*d**5/24 - 55*d**4/24 - 10*d**3/3 + 7*d**2. Let b(y) = 0. What is y?
-4, -2/5
Let o = 295/26 + 2/13. Let j = 12 - o. Factor j*s**2 + 1/2*s**3 + 0*s + 0.
s**2*(s + 1)/2
Find h, given that 4*h - 1/2*h**3 + 1/2*h**2 - 6 = 0.
-3, 2
Let t be 4/(-14)*305/220. Let v = t + 15/22. Factor -2/7 - v*r**2 - 4/7*r.
-2*(r + 1)**2/7
Let y(a) be the third derivative of -a**6/20 - 7*a**5/60 + a**4/6 + a**3/3 - a**2. Let d(q) be the first derivative of y(q). Suppose d(b) = 0. Calculate b.
-1, 2/9
Suppose 5*p + k = 332, -6*p + 2*p + 274 = 5*k. Let i be (-8)/12 + 56/p. Factor 2/11*q + 4/11 - i*q**2.
-2*(q - 2)*(q + 1)/11
Let h(k) be the first derivative of k**4/36 - k**3/9 + 3*k - 2. Let q(d) be the first derivative of h(d). Factor q(g).
g*(g - 2)/3
Let o(d) be the third derivative of d**6/120 - d**5/12 + d**4/4 - 15*d**2 - d. Factor o(j).
j*(j - 3)*(j - 2)
Let y(v) = -5 - 12*v**3 + 3*v + 22*v**2 + 9*v - 10*v**3 + 19*v**2 - 16*v**4. Let q(d) = -d**4 - d**3 - d**2 + 1. Let h(k) = -5*q(k) - y(k). Factor h(j).
3*j*(j - 1)*(j + 2)*(7*j + 2)
Factor 2/11 - 4/11*u - 6/11*u**2.
-2*(u + 1)*(3*u - 1)/11
Let y(i) be the third derivative of 7*i**2 + 1/24*i**4 + 1/60*i**5 + 0 + 0*i + 1/24*i**3. Find g, given that y(g) = 0.
-1/2
Let l(u) = -10*u**2 + 12*u + 7. Let f(q) = -3*q**2 + 4*q + 2. Let b(s) = 21*f(s) - 6*l(s). Solve b(n) = 0.
0, 4
Let i(j) = 16*j**5 + 5*j**4 - 4*j**3 - 11*j**2 + 6*j - 6. Let a(d) = -d**5 - d**3 + d**2 - d + 1. Let m(h) = -6*a(h) - i(h). Let m(n) = 0. Calculate n.
-1, -1/2, 0, 1
Let b(o) be the second derivative of -o**7/10080 - o**6/1440 - o**4/6 - 5*o. Let t(u) be the third derivative of b(u). Factor t(y).
-y*(y + 2)/4
Let n(j) = 5*j**5 - 20*j**4 - 15*j**3 + 25*j**2 - 5. Let k(x) = -2*x**5 + 10*x**4 + 8*x**3 - 13*x**2 + 3. Let d(b) = 5*k(b) + 3*n(b). Factor d(u).
5*u**2*(u - 2)*(u - 1)*(u + 1)
Let f(t) be the first derivative of -3/20*t**5 + 0*t**2 + 3 + 4*t + 1/2*t**3 - 1/4*t**4 + 1/10*t**6. Let q(z) be the first derivative of f(z). Factor q(r).
3*r*(r - 1)**2*(r + 1)
Suppose -2*d - 2 = 2. Let o be 1*1/(-2)*d. Solve -o + 6*k + 2*k**4 + 2*k**2 - 2 - 6*k**3 - 1 = 0 for k.
-1, 1, 2
Let y(k) be the third derivative of k**5/270 - k**3/27 + 4*k**2. Factor y(g).
2*(g - 1)*(g + 1)/9
Suppose -2*r + r + 5 = 0. Suppose 3 = -2*m - 7, -4*w = -r*m - 49. Factor 2*h**5 - 6*h**5 - h**2 + h**4 - w*h**3 - 10*h**4.
-h**2*(h + 1)**2*(4*h + 1)
Let q = 5 - 5. Suppose -m + 4*m = -4*r + 20, -2*m = q. Factor i**2 - i + 0*i**3 + i**3 - r + 4.
(i - 1)*(i + 1)**2
Let t be (-1*(0 + 0))/(-2). Solve 1 + 2*y**2 + t*y**2 + 3 - 6*y = 0.
1, 2
Find g, given that -6/11*g**3 + 16/11*g**2 - 6/11*g - 4/11 = 0.
-1/3, 1, 2
Let u(f) = -28*f**2 - 22*f - 1. Suppose 13 = -2*l - o, 0*l - 39 = 5*l - 4*o. Let g(p) = 27*p**2 + 21*p. Let a(b) = l*g(b) - 6*u(b). Find j such that a(j) = 0.
-1, 2/7
Let g = -7684/3 + 2530. Let c = -31 - g. Solve -1/3 - y**3 + c*y**2 + y = 0.
-1, 1/3, 1
Find x, given that -7 + 7 + x**2 + 2*x**4 - 3*x**2 = 0.
-1, 0, 1
Suppose -3/2*g + 0 - 19/2*g**2 - 33/2*g**3 - 9/2*g**4 = 0. Calculate g.
-3, -1/3, 0
Factor t**2 + 3*t**2 - 21*t**3 - 6*t**2 + 2*t**4 - 2*t + 23*t**3.
2*t*(t - 1)*(t + 1)**2
Let k(m) be the first derivative of -3 - 1/10*m**2 - 2/5*m + 1/15*m**3. Determine x, given that k(x) = 0.
-1, 2
Let b(r) be the third derivative of -r**8/336 - 11*r**7/210 - 23*r**6/60 - 3*r**5/2 - 27*r**4/8 - 9*r**3/2 - 7*r**2. Factor b(a).
-(a + 1)**2*(a + 3)**3
Factor -16/7*m**2 + 10/7*m**3 - 2/7*m**4 + 8/7*m + 0.
-2*m*(m - 2)**2*(m - 1)/7
Let k = 1835/5016 - 1/456. Let 10/11*p**2 - 14/11*p + k = 0. What is p?
2/5, 1
Find t, given that 1 - 1/2*t - 1/2*t**2 = 0.
-2, 1
Let w(a) be the second derivative of -5*a**7/168 - a**6/40 + 17*a**5/80 + 19*a**4/48 - a**2/2 - a. Determine k, given that w(k) = 0.
-1, 2/5, 2
Suppose 8*j - 8 - 16 = 0. What is x in -4/9 - 8/9*x**2 + 10/9*x + 2/9*x**j = 0?
1, 2
Let z(u) be the third derivative of -u**5/240 - 5*u**4/48 - 25*u**3/24 - 9*u**2. Factor z(d).
-(d + 5)**2/4
Let v(x) be the third derivative of 5*x**2 + 0*x**3 + 0 + 1/20*x**5 + 0*x**4 - 1/40*x**6 + 0*x. Factor v(q).
-3*q**2*(q - 1)
Suppose 0 = 4*q - 12, -6*i - 3*q = -i - 59. Factor 19*t**3 - 2*t**4 - 16*t**2 - 18*t**5 - i*t**4 + 21*t**3.
-2*t**2*(t + 2)*(3*t - 2)**2
Suppose 2 = 4*o - 2. Suppose 3*b = o + 14. Find z, given that 9 + z - z**4 - 10 + 2*z**2 + 3*z**5 - 2*z**3 - 2*z**b = 0.
-1, 1
Let c(d) = 10 - 4 + 2 - 2*d**2 + 6*d. Let r(s) = s**2 - 4*s - 5. Let l(p) = -5*c(p) - 8*r(p). Find i such that l(i) = 0.
-1, 0
Let p(u) = -3*u**2 + u - 4. Let h(q) = -10*q**2 + 2*q - 13. Let j(f) = 2*h(f) - 7*p(f). Determine s so that j(s) = 0.
1, 2
Suppose -k + 15 = 5*n, 3*k + 0*n - 4*n + 12 = 0. Let o(b) be the third derivative of 0*b**3 + 2*b**2 + 0*b + 1/240*b**5 - 1/96*b**4 + k. Factor o(h).
h*(h - 1)/4
Let i(u) be the first derivative of 4*u**3/21 - 13*u**2/7 - 2*u + 22. Factor i(r).
2*(r - 7)*(2*r + 1)/7
Let l be ((-1)/2)/((-10)/2320). Let 27*h**3 + l*h - 34*h**2 - 86*h**2 + h**3 - 24 = 0. What is h?
2/7, 1, 3
Let h be ((-204)/42 - -5) + (-3)/(-7). Solve h - 6/7*f + 6/7*f**3 - 4/7*f**2 = 0.
-1, 2/3, 1
Let p(v) be the third derivative of -v**7/210 + v**6/60 + v**5/60 - v**4/12 + 5*v**2. Factor p(q).
-q*(q - 2)*(q - 1)*(q + 1)
Let v(c) be the first derivative of -2*c**6/3 - 8*c**5/5 - c**4 - 5. What is w in v(w) = 0?
-1, 0
Solve 0*v**2 - 1/4*v**3 + 1/4*v + 0 = 0.
-1, 0, 1
Let g(k) be the third derivative of -256*k**6/45 - 32*k**5/5 - 3*k**4 - 3*k**3/4 + 15*k**2. Find t, given that g(t) = 0.
-3/16
Suppose 0 = -3*i + 2*i + 5*y - 12, -2*i = 5*y - 21. Factor 9*t**i + 17*t**2 + 3 + 0*t**2 + 16*t**2 - 12*t**2 + 15*t.
3*(t + 1)**2*(3*t + 1)
Let f(x) be the second derivative of 7*x**4/6 - 3*x**3 + 2*x**2 + 14*x. Factor f(c).
2*(c - 1)*(7*c - 2)
Let b(r) = -r**3 + 5*r**2 - 3*r - 4. Let a be b(4). Let w be 0/(-1 - (a + 2)). Suppose -3/2*s**2 + 3/2 + w*s = 0. Calculate s.
-1, 1
Let x(k) be the second derivative of k**7/630 - k**6/240 - k**5/120 + k**4/3 + 3*k. Let p(m) be the third derivative of x(m). Factor p(r).
(r - 1)*(4*r + 1)
Suppose 4*t - 10 = -2*z, -2*t + 5*z + 34 = 11. Solve g**2 + 3*g**2 + 7*g**5 + 2*g - 4*g**t - 6*g**5 - 3*g**5 = 0 for g.
-1, 0, 1
Determine n, given that n + 9*n**4 + 4*n**3 - n**3 - 11*n**2 + 6*n**2 = 0.
-1, 0, 1/3
Let u(c) be the third derivative of c**6/420 - c**5/105 + 4*c**2. Factor u(s).
2*s**2*(s - 2)/7
Let w(x) be the first derivative of x**3/4 - 5*x**2/8 + x/2 + 3. Let w(u) = 0. What is u?
2/3, 1
Let g(z) = 8 + 2*z**2 - 10*z - z**2 + 3*z. Let j be g(6). Solve 8*w**j - 8*w**2 - w**2 - w = 0.
-1, 0
Let p(i) = -6*i**3 - 21*i**2 - 21*i - 1. Let b(c) be the first derivative of -c + 6. Let s(a) = 5*b(a) + p(a). Determine d so that s(d) = 0.
-2, -1, -1/2
Find i such that -75*i**2 - 15*i + 25*i + 85*i**2 + 35*i + 20 = 0.
-4, -1/2
Let p(i) be the third derivative of 0 - 1/240*i**5 + 1/32*i**4 - 1/840*i**7 + 2*i**2 - 1/160*i**6 + 0*i + 1/12*i**3. Factor p(y).
-(y - 1)*(y + 1)**2*(y + 2)/4
Let g be (-894)/280 - (-5 - -2). Let z = 2/35 - g. Determine k so that 1/4*k**3 + 0 - 1/2*k**4 + 0*k**2 + 0*k + z*k**5 = 0.
0, 1
Let h(c) = -c**3 + 3*c**2 + 3*c - 3. Let p be h(3). Factor 3*y**4 + 0*y**3 + p*y**3 + y**2 + 2*y**2.
3*y**2*(y + 1)**2
Let q(m) be the second derivative of -m**7/840 + m**6/240 + m**4/12 - 6*m. Let x(z) be the third derivative of q(z). Factor x(h).
-3*h*(h - 1)
Let y(d) be the third derivative of d**8/80640 - d**7/10080 + d**6/2880 + d**5/20 - 2*d**2. Let q(r) be the third derivative of y(r). Let q(i) = 0. What is i?
1
Let p(i) = -69*i**4 - 114*i**3 - 56*i**2 - 11*i - 3. Let m(r) = 68*r**4 + 114*r**3 + 56*r**2 + 12*r + 4. Let l(j) = -3*m(j) - 4*p(j). Let l(x) = 0. What is x?
-2/3, -1/4, 0
Suppose 4*j + 4 = 8, -5*b - 2*j + 27 = 0. Let d(n) = -n + 11. Let f be d(9). What is x in 2*x**3 + 7*x**3 + 3*x**f - 9*x**5 - 3*x**4 + 6*x**b - 6*x = 0?
-2, -1, 0, 1
Let k(w) be the first derivative of 8*w**3/3 - 4*w**2 + 14*w - 1. Let f(y) = -y**2 + y - 1. Let j(