3 + 1/180*p**4 + 0 - 3*p**2. Factor t(r).
2*r*(r + 1)**2/15
Factor 3*k**5 - 9*k**5 + k**5 + 5*k**3.
-5*k**3*(k - 1)*(k + 1)
Let j(z) = 2*z**2 + 4*z + 3. Let p be j(-3). Let h be (-3)/(-15) - p/(-5). Factor -2/7 - 4/7*n - 2/7*n**h.
-2*(n + 1)**2/7
Let h(j) = -2*j**3 + 2*j**2 + 6*j**4 - 3*j**4 - 2*j**4 - j**3. Let d(c) = -c**3 + c**2. Let s(n) = d(n) - h(n). Factor s(v).
-v**2*(v - 1)**2
Suppose 9*u**3 - 3*u - 6*u - 22*u**2 + 19*u**2 + 3 = 0. What is u?
-1, 1/3, 1
Let z = 16 - 13. Factor 2 - 3*i**2 + 4 - 5*i + z - i.
-3*(i - 1)*(i + 3)
Let m be (-1)/10 + 0 - 16/(-32). Factor 0 - 4/5*z**4 - m*z + 4/5*z**2 + 0*z**3 + 2/5*z**5.
2*z*(z - 1)**3*(z + 1)/5
Suppose w = 5*w - 12. Let g(m) = m**2 - 2*m + 2. Let q be g(w). Determine x, given that -2*x**2 - x + q - 4 - x**3 - 1 = 0.
-1, 0
Factor 5/2*n - 25/4*n**2 + 5*n**3 - 5/4*n**4 + 0.
-5*n*(n - 2)*(n - 1)**2/4
Suppose -2*h - 14 = -5*u + 19, -3*u = -4*h - 31. Let k be ((-1)/(-2))/((-2)/(-16)). Let -k*r**4 - 2*r**3 + 2*r - 2*r**u - 2*r = 0. What is r?
-1, 0
Let h = 5 - 2. Suppose a - 5*a = -h*y - 20, -2*a + 24 = -5*y. Factor 2*c**2 - 2*c - 3*c**a + 0*c.
-c*(c + 2)
Factor -j**3 - 48*j**2 - 11*j**3 - 63*j + 5 - 32.
-3*(j + 1)*(2*j + 3)**2
Factor 12/7*r**3 - 80/7*r**4 + 50/7*r**5 + 0 + 16/7*r**2 + 2/7*r.
2*r*(r - 1)**2*(5*r + 1)**2/7
Let m = 66 + -105. Let j = -36 - m. Factor -6/11*c - 4/11*c**2 + 6/11*c**j + 4/11.
2*(c - 1)*(c + 1)*(3*c - 2)/11
Let v(h) be the second derivative of 1/21*h**4 - 4*h - 1/7*h**2 - 3/35*h**5 + 1/7*h**3 + 1/49*h**7 + 0 - 1/105*h**6. Solve v(s) = 0.
-1, 1/3, 1
Let b be 114/(-60) + 2/1. Let v(o) be the third derivative of -b*o**5 + 0*o**6 + 0*o**3 + 1/6*o**4 + 0*o + 0 + 2*o**2 + 1/105*o**7. Factor v(k).
2*k*(k - 1)**2*(k + 2)
Let m(h) be the second derivative of h**10/30240 - h**9/3780 + h**8/1680 + h**4/3 - h. Let r(t) be the third derivative of m(t). Factor r(v).
v**3*(v - 2)**2
Suppose 2*f + 2*r + 8 = 3*f, -24 = -2*f - 4*r. Let j = f + -5. Solve -4*n + 6*n**4 + 0*n**2 - 2*n**2 - 2*n**2 + 11*n**3 - 9*n**j = 0 for n.
-2/3, 0, 1
Let p(c) be the first derivative of -2*c**5/35 - c**4/7 - 2*c**3/21 - 3. Factor p(j).
-2*j**2*(j + 1)**2/7
Let m = -30 - -30. Let c(g) be the first derivative of 0*g**2 - 1/20*g**4 + m*g**5 + 1/30*g**6 + 0*g + 0*g**3 + 3. Factor c(f).
f**3*(f - 1)*(f + 1)/5
Let j(q) = 19*q**2 + 6*q - 4. Let w(b) = 18*b**2 + 7*b - 3. Let s(v) = 3*j(v) - 4*w(v). Solve s(f) = 0 for f.
-2/3, 0
Suppose -159*f**3 + 161*f**3 - 16*f**2 - 14 - 22 + 42*f = 0. What is f?
2, 3
Let c(n) be the first derivative of 0*n**2 + 3 - 8/7*n + 2/7*n**3 + 1/14*n**4. Determine j, given that c(j) = 0.
-2, 1
Let u(z) = -z + 6. Let m be u(4). Determine n, given that 0 + 2*n**2 + 0*n**2 + 6 + 8*n + 0*n**m = 0.
-3, -1
Let j(c) be the second derivative of c**5/4 + c**4/6 - c**3/2 - 6*c. Let y(q) = 4*q**3 + q**2 - 3*q. Let b(l) = -5*j(l) + 6*y(l). Let b(v) = 0. What is v?
-3, -1, 0
Let h(r) be the first derivative of -1 - 8/3*r**3 + 2*r - 3*r**2. Determine p, given that h(p) = 0.
-1, 1/4
Let v(u) = u**3 + 9*u**2 + 17*u + 21. Let i be v(-7). Determine y, given that -1/4*y**2 + 0 + 1/4*y**3 + i*y = 0.
0, 1
Let g = -1/27 - -7/27. Factor -g*d**4 - 2/9*d**5 + 4/9*d**3 + 4/9*d**2 - 2/9 - 2/9*d.
-2*(d - 1)**2*(d + 1)**3/9
Let t(c) be the third derivative of -c**5/120 + c**4/24 + c**3/4 - 18*c**2. What is h in t(h) = 0?
-1, 3
Let j(g) = g**4 - 2*g**3 - 5*g**2 - 6*g. Let a(w) = -w**2 - w. Let o(n) = 6*a(n) - j(n). Factor o(v).
-v**2*(v - 1)**2
Find l such that 0 - 5/6*l**2 + 2/3*l + 1/6*l**3 = 0.
0, 1, 4
Suppose -o - o + 4 = 0. Determine k, given that 14*k**3 + 4 - 10*k - o*k**2 - 2*k**2 - 4*k = 0.
-1, 2/7, 1
Let a(y) = -y**4 - y**3 + 1. Let c(j) = -5*j**4 + 3*j**2 - 2*j + 2. Let h = 1 - 3. Let o(u) = h*a(u) + c(u). Let o(t) = 0. Calculate t.
-1, 0, 2/3, 1
Suppose 5*g - 3*g = 5*u - 14, -g = -4*u + 10. Let 12 - 12 + 3*c**u = 0. What is c?
0
Let n be (-11)/(-132)*4/2. Let p be (2/(-12))/((2 + 1)/(-3)). Suppose -1/6*a**3 + 0*a + 1/6*a**4 - n*a**2 + 0 + p*a**5 = 0. Calculate a.
-1, 0, 1
Let l(t) be the first derivative of -t**4/4 - t**3/3 + 7. Factor l(i).
-i**2*(i + 1)
Let l be (-44)/(-24) - (-5)/(-10). Solve 2/3 - l*w**4 + 10/3*w**3 - 2/3*w - 2*w**2 = 0 for w.
-1/2, 1
Let z(h) be the second derivative of 0*h**2 + 1/42*h**4 - 1/21*h**3 - 1/105*h**6 + 1/70*h**5 - h + 0. Factor z(g).
-2*g*(g - 1)**2*(g + 1)/7
Let u(i) be the third derivative of -i**5/660 - i**4/44 - 4*i**3/33 - 6*i**2. Factor u(c).
-(c + 2)*(c + 4)/11
Suppose -5*d - 13 = -4*o, 2*o - 3 = -2*d + d. Determine n, given that 1/2*n**o + 1/2 - n = 0.
1
Let p(w) be the first derivative of 2*w**5 + 35*w**4/4 + 10*w**3 - 5*w**2/2 - 10*w - 14. Factor p(c).
5*(c + 1)**2*(c + 2)*(2*c - 1)
Let k(n) = n + 4. Let f be k(-4). Let w = f + 3. Factor -2/7*p - 2/7*p**2 + 0 + 2/7*p**4 + 2/7*p**w.
2*p*(p - 1)*(p + 1)**2/7
Let s(d) be the third derivative of -d**6/40 + d**5/5 - 5*d**4/8 + d**3 - 9*d**2. Find y, given that s(y) = 0.
1, 2
Let p(g) be the second derivative of 1/36*g**4 + 0 + 0*g**3 - 7*g + 0*g**2 - 1/60*g**5. Factor p(r).
-r**2*(r - 1)/3
Factor 1/3*g**3 + 1/3*g + 0 + 2/3*g**2.
g*(g + 1)**2/3
Let h(n) be the first derivative of -2*n**3/27 - n**2/9 + 6. Factor h(b).
-2*b*(b + 1)/9
Let h(p) be the second derivative of 0*p**2 - 1/9*p**3 - 1/36*p**4 + 0 - 3*p. Find i, given that h(i) = 0.
-2, 0
Suppose -k + 0 - 5 = -c, 0 = 2*c - 3*k - 15. Let z(r) = 4*r**3 - r**2 + 1. Let t be z(1). Solve p**2 - p**4 + 4*p + c*p**2 + 2*p**2 - 2*p**3 - t = 0 for p.
-2, 1
Suppose -4*g = 4*h + 8, -2*g + 1 = 11. Solve -16*x**4 - 16*x**h + 18 - 4*x**2 - 18 = 0.
-1/2, 0
Determine m so that -32/3 + 625/3*m**5 + 1000/3*m**3 - 176/3*m + 1750/3*m**4 - 80/3*m**2 = 0.
-2, -2/5, 2/5
Suppose 11*h - 8*h = 0. Factor 2/5*o**3 + 0 + h*o**2 + 0*o.
2*o**3/5
Let r be (-3 - 0)/((-2)/(-30)). Let v be 4/(-10) - 36/r. Factor 0 - 2/5*w + v*w**2.
2*w*(w - 1)/5
Let g(p) = 3*p**2 - 2*p + 2. Let l(y) = 10*y**2 - 7*y + 7. Let j(u) = 21*g(u) - 6*l(u). Factor j(n).
3*n**2
Let d be (-2)/(-5) - 1/3. Let t(z) be the second derivative of -1/10*z**2 + 0 + d*z**3 + z - 1/60*z**4. What is i in t(i) = 0?
1
Let p be -6 + 9 - 0/1. Suppose 0 = p*m - m - 6. Factor 0 + 0*h - 2/7*h**2 + 0*h**m + 2/7*h**4.
2*h**2*(h - 1)*(h + 1)/7
Let v(j) be the first derivative of -1/120*j**6 + j**2 - 1/24*j**4 + 1/30*j**5 + 2 + 0*j + 0*j**3. Let n(y) be the second derivative of v(y). Factor n(b).
-b*(b - 1)**2
Let j(u) be the third derivative of u**8/168 - 4*u**7/105 + u**6/60 + u**5/3 - u**4/3 - 8*u**3/3 + 8*u**2. Find y such that j(y) = 0.
-1, 2
Let i = 0 + 2. Suppose -5*a = -0*a - 5*y - 15, i*y - 9 = -3*a. Factor 0*r**a + r + 4*r**2 + r**3 + r + r**3.
2*r*(r + 1)**2
Let b(g) be the first derivative of -14*g**4 - 44*g**3/3 + 10*g**2 + 8*g + 8. Suppose b(i) = 0. Calculate i.
-1, -2/7, 1/2
Let z be 18/12 - (-74)/(-60). Let t(u) be the third derivative of 0 - z*u**3 - 1/50*u**5 + 1/10*u**4 + 0*u + 1/600*u**6 - 2*u**2. Factor t(y).
(y - 2)**3/5
Let h(p) be the second derivative of -p**6/75 - 3*p**5/50 - p**4/10 - p**3/15 + 2*p. What is g in h(g) = 0?
-1, 0
Let a(r) be the first derivative of -18*r**6/5 + 216*r**5/25 - 36*r**4/5 + 8*r**3/3 - 2*r**2/5 - 7. Solve a(i) = 0.
0, 1/3, 1
Let b = 16 + -4. Let y = b - 12. Factor -2/7*s**3 + 2/7*s**4 + y - 2/7*s**2 + 2/7*s.
2*s*(s - 1)**2*(s + 1)/7
Suppose 2*f + f = -12. Let s be (-1)/(-5)*(1 - f). Determine q so that 2*q**3 - 1 - 3*q**3 - q**2 + s = 0.
-1, 0
Let i(a) be the third derivative of a**9/12096 - a**8/3360 + a**6/720 - a**5/480 - 5*a**3/6 - a**2. Let d(t) be the first derivative of i(t). Factor d(h).
h*(h - 1)**3*(h + 1)/4
Let y(d) = 3*d**5 - d**4 + d**3 + 5*d + 5. Let v(b) = -2*b**5 - b**3 - 3*b - 3. Let j(h) = -10*v(h) - 6*y(h). Solve j(w) = 0.
-2, -1, 0
Let l be (30/(-20))/((-5)/2). Determine a so that 0 + 0*a**3 - 3/5*a**5 + 0*a**2 + l*a**4 + 0*a = 0.
0, 1
Let j = 5/14 - -13/42. Let o be (-12)/(-4)*4/18. Determine g, given that -2/3*g**4 + 0 - j*g**3 + 2/3*g**2 + o*g = 0.
-1, 0, 1
Let c(u) = -u**3 + u. Let o(t) = 5*t**4 - 10*t**3 + 15*t**2 + 30*t. Let k(v) = 30*c(v) - o(v). Factor k(n).
-5*n**2*(n + 1)*(n + 3)
Let g be 186/75 + (-20)/250. Let 4*m**2 + 28/5*m + 4/5*m**3 + g = 0. Calculate m.
-3, -1
Let n(y) be the first derivative of y**6/600 - y**5/300 - y**4/60 - 3*y**2/2 + 1. Let d(k) be