 + 20*s + 24. Let f(o) = -o**3 - 1. Let l(p) = 8*f(p) + w(p). Factor l(g).
-4*(g + 1)**2*(3*g - 4)
Let j(f) = -10*f**4 + 4*f**3 - 4*f**2 - 2. Let v(m) = 13*m**4 - 4*m**3 + 5*m**2 - m + 2. Let n(d) = -5*j(d) - 4*v(d). Factor n(c).
-2*(c - 1)*(c + 1)**3
Let n = 25 + -23. Let f be n/(-11) - (184/22)/(-2). Factor -1/3*s**f + 0*s + 0 + 2/3*s**2 - 1/3*s**3.
-s**2*(s - 1)*(s + 2)/3
Suppose -s**3 - 5/2*s**2 + 1/6*s**4 + 0 - 4/3*s = 0. What is s?
-1, 0, 8
Let i(o) = -10*o**2 - 15*o + 15. Let z(y) be the third derivative of y**5/12 + 7*y**4/24 - 4*y**3/3 - 7*y**2. Let s(p) = 2*i(p) + 5*z(p). Factor s(j).
5*(j - 1)*(j + 2)
Determine s, given that 33*s + 3/2*s**2 + 171/2 = 0.
-19, -3
Let h(p) = -p + 1. Let b be 4/(-14) + 300/70. Let g(a) = 5*a**3 + 9*a**2 + 5*a - 3. Let w(y) = b*h(y) + 2*g(y). Factor w(d).
2*(d + 1)**2*(5*d - 1)
Let l(u) be the second derivative of -u**6/10 + 3*u**5/10 + u**4 - u**3 - 9*u**2/2 - u + 13. Let l(n) = 0. Calculate n.
-1, 1, 3
Let o(d) = -d**2 + 4*d - 1. Let s be o(3). Solve 6 + 7*t - 6*t**s - t**3 - 9*t + 3*t**3 = 0.
-1, 1, 3
Let b(q) be the first derivative of -q**6/8 - 9*q**5/10 - 15*q**4/16 + 130. Factor b(m).
-3*m**3*(m + 1)*(m + 5)/4
Let w = -171 - -180. Let a be (-3)/w*(-11 + 2). Factor 0 + 2/5*j**4 - 2/5*j**2 + 0*j**a + 0*j.
2*j**2*(j - 1)*(j + 1)/5
Let c(g) be the second derivative of -g**8/1344 - g**7/252 - g**6/144 - 17*g**4/12 - 18*g. Let a(j) be the third derivative of c(j). Factor a(v).
-5*v*(v + 1)**2
Let v(p) = -64*p**3 + 64*p - 4. Let d(j) = -65*j**3 + 2*j**2 + 65*j - 5. Let n(i) = 4*d(i) - 3*v(i). Let n(w) = 0. Calculate w.
-1, 2/17, 1
What is n in -2 + 0 + 1979*n**2 + 2 - 1983*n**2 + 32*n = 0?
0, 8
Let n(g) be the third derivative of -g**6/960 - g**5/480 + g**4/96 + g**2. Find a such that n(a) = 0.
-2, 0, 1
Let w be 130/(-78) - 23/12*-1. Let u(l) be the third derivative of 1/16*l**4 - 15*l**2 + 0*l - 1/20*l**5 + w*l**3 + 0. What is r in u(r) = 0?
-1/2, 1
Let g be 56/(-21)*(-9)/(-6). Let l = 0 - g. Find i such that 0*i**3 + 0*i**2 - l*i**3 - 6*i**2 + i**3 = 0.
-2, 0
Let m = 886 + -882. Let j(l) be the first derivative of -7 + 2/21*l**3 - 2/7*l - 1/14*l**m + 1/7*l**2. What is c in j(c) = 0?
-1, 1
Let g(r) be the third derivative of -r**5/2 + 19*r**4/12 - 4*r**3/3 - 24*r**2 + 18. Factor g(o).
-2*(o - 1)*(15*o - 4)
Let q be (-208)/(-624)*(2 + 22/4). Find g such that -q + 3*g - 1/2*g**2 = 0.
1, 5
Suppose 0 = -392*t + 430*t. What is i in t*i**3 + 4/5*i**4 + 0*i**2 + 0 + 4/5*i**5 + 0*i = 0?
-1, 0
Suppose 3 = 5*i + 3. Find o, given that 3*o**2 - 12*o**3 + 8*o + 4*o**5 + o**4 + o**2 + i*o**2 - 5*o**4 = 0.
-1, 0, 1, 2
Let 4*g**5 - 3*g**3 - 17 + 0*g**3 + 43 + 17*g**2 - 5*g**5 - 14 - 5*g**4 + 28*g = 0. Calculate g.
-3, -2, -1, 2
Let r be (-5)/(-15) - ((-152)/24)/1. Determine g so that -r*g**2 + 0 + 4*g**3 - 8/3*g = 0.
-1/3, 0, 2
Factor 1/5*r**3 - 19/5*r**2 + 0 - 4*r.
r*(r - 20)*(r + 1)/5
Let i be (4/(-1))/(8/4). Let h be ((-7)/i - 4)*0. Factor 1/3*j**3 + 0*j**2 + 0 + 1/3*j**4 + h*j.
j**3*(j + 1)/3
Factor 353*r + 3*r**2 + 1297 + 2*r**2 - 263*r + 728 - 4*r**2.
(r + 45)**2
Suppose -5*j = -2*j - 63. Let s = 27 - j. Solve 3*d - 3 + s*d**2 - 3*d**3 + 3*d**2 - 6*d**2 = 0.
-1, 1
Let x(j) = -j**2 + j. Let a(w) = w**2 - 7*w. Let f be -4 + (-4 - -2)/(-1). Let i(s) = f*x(s) + a(s). Factor i(l).
3*l*(l - 3)
Suppose -1/2*m**3 + 0*m + 0 + 0*m**2 = 0. Calculate m.
0
Factor 0*p + 1/7*p**3 + 0 - 1/7*p**2 + 1/7*p**4 - 1/7*p**5.
-p**2*(p - 1)**2*(p + 1)/7
Let p be (-18)/45 + (2 - 988/(-10)). Let j = -100 + p. Determine l so that 1/5*l**2 + 3/5*l + j = 0.
-2, -1
Suppose 24 = 3*q - 21. Suppose -3*u - 2*u + q = 0. Let 0*x**u - 2*x**2 - x**3 + 4*x - x**3 + 2*x**4 - 2*x = 0. What is x?
-1, 0, 1
Solve 47/7 - 27*y + 4/7*y**2 = 0 for y.
1/4, 47
Factor -2/9*c**5 - 4/3*c**3 - 2/9*c - 8/9*c**2 + 0 - 8/9*c**4.
-2*c*(c + 1)**4/9
Find j such that -15/2*j**3 - 63/2*j**2 - 1/2*j**4 - 49/2*j + 0 = 0.
-7, -1, 0
Determine h, given that 2/9*h**4 + 0*h + 0 - 28/9*h**3 - 10/3*h**2 = 0.
-1, 0, 15
Suppose -2*v + 5*k = -0*k + 207, v + 3*k = -87. Let g = 100 + v. Determine f so that 1/4*f**g + 1/2 - 1/4*f**3 - 3/4*f**2 + 1/4*f = 0.
-1, 1, 2
Let h(u) = u**2 - 10*u + 18. Let a(i) = -i**3 + 3*i**2 + 4*i - 4. Let o be a(3). Let t be h(o). Solve -3*x**3 + 2*x**3 + x**4 + t*x**4 = 0.
0, 1/3
Suppose -8/5 + 2*z**2 - 12/5*z + 3/5*z**3 - 2/5*z**4 = 0. What is z?
-2, -1/2, 2
Let h(v) be the second derivative of -7/54*v**4 + 1/45*v**5 - 2/9*v**2 + 4*v + 7/27*v**3 + 0. Factor h(m).
2*(m - 2)*(m - 1)*(2*m - 1)/9
Let q(c) be the third derivative of 8*c**7/105 - 3*c**6/5 - 9*c**5/4 - 53*c**4/24 - c**3 - 59*c**2. Find u such that q(u) = 0.
-1, -1/4, 6
Let z be 5/4*32/168*7. Let q(x) be the second derivative of 7/10*x**5 - 8/7*x**2 + 2*x + 0 - 52/21*x**3 - z*x**4. Solve q(h) = 0.
-2/7, 2
Let n(v) be the first derivative of v**4/2 - 58*v**3/3 + 247*v**2 - 1014*v + 850. Factor n(p).
2*(p - 13)**2*(p - 3)
Let b(k) be the third derivative of -k**7/350 - k**6/100 + k**5/25 + k**4/20 - 3*k**3/10 - 232*k**2. Determine z so that b(z) = 0.
-3, -1, 1
Let y(m) = -m + 2. Let g(h) = 60*h**5 - 277*h**4 - 473*h**3 - 148*h**2 - 19*h + 14. Let o(u) = 3*g(u) - 21*y(u). Let o(q) = 0. Calculate q.
-1, -1/4, -2/15, 0, 6
Factor 3*c**3 - 1134*c**2 - 6*c**3 - 2*c**3 + 5*c**3 - 142884*c - 6001128 - 3*c**3.
-3*(c + 126)**3
Let n(u) = u**3 - 7*u**2 + u - 5. Let r be n(7). Let o be ((-12)/21)/(253/77 + -4). Factor 0*b**r + 0 + 3/5*b**3 + 1/5*b**4 - o*b.
b*(b - 1)*(b + 2)**2/5
Let f = -38101/39 - -977. Let b(y) be the first derivative of f*y**3 - 2 + 0*y + 1/13*y**2. Factor b(x).
2*x*(x + 1)/13
Let h(r) = -r - 3. Let t be (-2 - 1) + (1 - 1). Let z be h(t). Find m, given that 0 + 3*m**3 + z*m - 3/2*m**4 + 9/2*m**2 = 0.
-1, 0, 3
Factor 11*m**3 + 160 + 14*m**3 + 181*m**2 + 23*m**2 - 64*m**2 - 460*m.
5*(m - 2)*(m + 8)*(5*m - 2)
Let g = -18 - -26. Let w be (-6 + 2)*(-4)/g. Find o, given that -3*o**4 + 2*o**2 - o**w + o**2 + o**2 = 0.
-1, 0, 1
Let u be 9/(-150)*(-1980)/594. What is k in 3/5*k**4 - 2/5*k + u*k**3 + 1/5*k**5 + 0 - 3/5*k**2 = 0?
-2, -1, 0, 1
Let l be (-1 - 5/(-2)) + (-2)/(-4). Let z(j) be the first derivative of 3 + 0*j**l + 0*j + 1/14*j**4 - 2/21*j**3. Let z(h) = 0. What is h?
0, 1
Let l(d) be the third derivative of -11*d**2 + 1/280*d**6 - 3/56*d**4 - 1/7*d**3 + 0*d**5 + 0*d + 0. Find n, given that l(n) = 0.
-1, 2
Let p(c) be the third derivative of c**7/70 + 3*c**6/40 - 3*c**5/4 + 17*c**4/8 - 3*c**3 + 3*c**2 + 53. Factor p(f).
3*(f - 1)**3*(f + 6)
Let g(b) be the first derivative of 3*b**5/20 - 51*b**4/16 - b**3/4 + 51*b**2/8 - 373. Factor g(h).
3*h*(h - 17)*(h - 1)*(h + 1)/4
Solve 216*n**2 + 23*n**4 - 2*n**4 - 54*n - 431*n**2 + 218*n**2 - 24 - 9*n**5 + 63*n**3 = 0.
-1, -2/3, 1, 4
Suppose 2*x + 23 = -q + 31, -4*q - 4 = -4*x. Let v(p) be the second derivative of 4*p + 3/2*p**3 + 0 - 1/2*p**4 + 3*p**q. Let v(k) = 0. What is k?
-1/2, 2
Let w(r) be the second derivative of 3*r**5/4 - 5*r**3/2 + 4*r. Let f(o) = 3*o**3 - 3*o. Let g = 7 + -2. Let l(j) = g*w(j) - 24*f(j). Factor l(y).
3*y*(y - 1)*(y + 1)
Let a(m) = m**3 - 87*m**2 + 177*m - 593. Let w be a(85). Suppose -28/3*b**w + 0 + 4/3*b**3 + 8*b = 0. Calculate b.
0, 1, 6
Let j(p) be the second derivative of 125*p**2 + 8*p + 5/2*p**4 + 1/10*p**5 + 25*p**3 + 0. Factor j(s).
2*(s + 5)**3
Let s = 68 + -68. Let a(y) be the second derivative of 1/63*y**7 - 1/15*y**6 + s + 0*y**5 + 0*y**3 + 0*y**2 + 2/9*y**4 - 5*y. Factor a(z).
2*z**2*(z - 2)**2*(z + 1)/3
Let r(a) = -7*a**2 - 6*a + 3. Let k(w) = -8*w**2 - 9*w + 4. Let q(s) = 3*k(s) - 4*r(s). Factor q(x).
x*(4*x - 3)
Let u(s) be the second derivative of s**4/4 + 48*s**3 + 3456*s**2 - 79*s. Factor u(p).
3*(p + 48)**2
Let p = -2/41 - -81/820. Let i(t) be the second derivative of -1/2*t**3 + 1/2*t**2 + 0 + 1/4*t**4 - p*t**5 - 5*t. Determine x, given that i(x) = 0.
1
Suppose -3*u = -3*v - 18, 152*v - 154*v - 3*u + 28 = 0. What is w in -15/2*w**3 + 0 - 6*w + 3/2*w**4 + 12*w**v = 0?
0, 1, 2
Let m(b) = b**4 + b + 1. Let f(g) = -15*g**4 + 26*g**3 - 13*g**2 - 14*g - 8. Let z(u) = 5*f(u) + 40*m(u). Factor z(k).
-5*k*(k - 3)*(k - 1)*(7*k + 2)
Let u be -6*(-4)/24*1. Suppose 0 = 4*q - 21 + u. Factor -3/4*c**3 + 0 + 0*c - 1/4*c**2 - 1/4*c**q - 3/4*c**4.
-c**2*(c + 1)**3/4
Suppose 0 = -p - 2*p + 4*j + 28, -4*p + j = -46. 