4 + 84*h = 0. Calculate h.
0, 2/7, 1
Let o(g) be the first derivative of 0*g + 0*g**2 + 1/120*g**5 + 1 + g**3 + 1/360*g**6 + 0*g**4. Let q(j) be the third derivative of o(j). Solve q(m) = 0 for m.
-1, 0
Factor 7/3*a**4 + 0 - 2/3*a**3 + 2/3*a - 7/3*a**2.
a*(a - 1)*(a + 1)*(7*a - 2)/3
Let h be 1/2*(-2)/(-4). Let -h + 1/2*w - 1/4*w**2 = 0. What is w?
1
Let a be (-6)/33*-13 - 1. Let l = 101/66 - a. Suppose -l + 0*h + 1/6*h**2 = 0. Calculate h.
-1, 1
Let w = 87 - 87. Factor w + 1/3*c - 1/3*c**2.
-c*(c - 1)/3
Let p(o) = 2*o**3 - 3*o**2. Suppose 4*g + 5*t - 8 = 0, -g - 5*t + 2*t = -2. Let v be p(g). Factor -2/7 - 2/7*b + 4/7*b**3 - 2/7*b**5 - 2/7*b**v + 4/7*b**2.
-2*(b - 1)**2*(b + 1)**3/7
Suppose h = -4*o + 7 + 11, 12 = 4*h + o. Factor -112/5*t**3 - 244/5*t**h - 36/5 - 16/5*t**4 - 168/5*t.
-4*(t + 3)**2*(2*t + 1)**2/5
Let l(m) be the second derivative of -1/21*m**3 + 0 - 4*m - 1/21*m**4 + 2/7*m**2 + 1/70*m**5. Factor l(j).
2*(j - 2)*(j - 1)*(j + 1)/7
Let -7*z**2 + z**2 - 11*z - 3*z**2 - 2 = 0. What is z?
-1, -2/9
Let i = -6 + 10. Suppose 5*y - i*t - 15 = 0, -4*t = -3*y + t + 9. Find n, given that -3 + 2 + n + n**2 + 3*n**y - 4*n**3 = 0.
-1, 1
Let c(i) be the third derivative of 1/54*i**4 - 4*i**2 + 0 - 1/180*i**5 - 2/3*i**3 + 0*i + 1/1620*i**6. Let s(g) be the first derivative of c(g). Factor s(m).
2*(m - 2)*(m - 1)/9
Let g(j) be the first derivative of -1/3*j**6 - 1 + 0*j + j**2 + 4/5*j**5 - 4/3*j**3 + 0*j**4. Determine c, given that g(c) = 0.
-1, 0, 1
Let g(y) be the first derivative of 2*y**5/15 + y**4/18 - 8. Determine f so that g(f) = 0.
-1/3, 0
Let g(x) = 2*x**3 + 14*x**2 - 8*x. Let i(w) = -w**3 - 9*w**2 + 5*w. Let m(l) = 5*g(l) + 8*i(l). What is j in m(j) = 0?
0, 1
Let n(w) = -2*w - 7. Let g be n(-6). Suppose 0 = -z - 2*z - 4*h + 15, -g*z - 2*h + 25 = 0. Find t such that -z*t + 5*t - t**2 = 0.
0
Let u be 1/(-3)*10/(-6 + 1). Let h(y) be the first derivative of -1/2*y**2 - u*y**3 - 1/4*y**4 + 1 + 0*y. Determine x so that h(x) = 0.
-1, 0
Let h(f) be the second derivative of 5*f**7/126 + 23*f**6/90 + f**5/2 + f**4/9 - 4*f**3/9 + 4*f. Suppose h(n) = 0. Calculate n.
-2, -1, 0, 2/5
Suppose -2*z + 5 = 1. Factor 6*c**4 + c**4 + 19*c**3 - 4*c + c**z + 7*c**2 + 0*c.
c*(c + 1)*(c + 2)*(7*c - 2)
Let i(d) be the first derivative of 0*d**3 - 1/16*d**4 + 0*d**2 + 0*d + 1/24*d**6 - 7 + 0*d**5. Solve i(j) = 0 for j.
-1, 0, 1
Let t(k) be the first derivative of -k**8/168 + k**6/60 + 3*k**2/2 - 3. Let w(c) be the second derivative of t(c). Find p such that w(p) = 0.
-1, 0, 1
Let p(z) be the third derivative of z**5/240 + 11*z**4/96 + 5*z**3/12 + 46*z**2. Factor p(f).
(f + 1)*(f + 10)/4
Let l(t) be the third derivative of -t**5/90 + t**3/9 + 2*t**2. Factor l(n).
-2*(n - 1)*(n + 1)/3
Let v(i) be the first derivative of -i**3/4 - 9*i**2/8 + 3*i - 10. Find h, given that v(h) = 0.
-4, 1
Let i(d) be the first derivative of -3*d**4 + 4*d**3/3 + 4*d**2 + 14. Determine z so that i(z) = 0.
-2/3, 0, 1
Suppose -33 + 6 = -3*w. Let a = 11 - w. What is s in 1/4*s - 1/4*s**a - 1/4*s**3 + 0 + 1/4*s**4 = 0?
-1, 0, 1
Solve -12 + 4*f + 21*f - 20*f**2 + 4*f**3 + 11*f - 8*f = 0 for f.
1, 3
Let 2*h**2 - 4*h + 5 - 11 + 0 + 0*h = 0. Calculate h.
-1, 3
Determine h, given that -8/3*h**2 - 2/3*h**3 - 10/3*h - 4/3 = 0.
-2, -1
Let a(t) be the third derivative of t**6/960 + t**5/160 - t**4/192 - t**3/16 - 8*t**2. Factor a(o).
(o - 1)*(o + 1)*(o + 3)/8
Let y be (-13 - -1)*(186/(-18) - -10). Solve 2/5*u + 0 + 0*u**y + 2/5*u**5 - 4/5*u**3 + 0*u**2 = 0.
-1, 0, 1
Find f, given that 0 - 28/5*f + 4/5*f**2 = 0.
0, 7
Let -6 - 2*k**2 - 3 + 5 + 4*k**2 - 2*k = 0. What is k?
-1, 2
Let g = -84/11 - -274/33. Factor -g*h**2 - 8/3 - 8/3*h.
-2*(h + 2)**2/3
Let n(m) = -10*m**5 - 40*m**4 - 51*m**3 - 10*m**2 + 8*m + 3. Let d(q) = -q**5 + 1. Let x(u) = 6*d(u) - 2*n(u). Let x(b) = 0. Calculate b.
-4, -1, 0, 2/7
Let j(a) be the third derivative of a**5/60 + 29*a**4/24 + 23*a**3/6 - 6*a**2. Let d(g) = g**2 + 44*g + 35. Let c(k) = -5*d(k) + 8*j(k). Factor c(l).
3*(l + 1)*(l + 3)
Let f(k) = -14*k**4 + 13*k**3 + 2*k**2 - k. Let t(x) = 29*x**4 - 26*x**3 - 5*x**2 + 2*x. Let y(w) = -9*f(w) - 4*t(w). Factor y(s).
s*(s - 1)*(2*s - 1)*(5*s + 1)
Let p be 11/33 + (-14)/(-3). Suppose -3*a = -p*a. Let 0*x**3 - 1/2*x**5 + 0*x**2 + a*x + 0 - 1/2*x**4 = 0. Calculate x.
-1, 0
Factor -6/7*u + 2/7*u**4 - 4/7 + 6/7*u**3 + 2/7*u**2.
2*(u - 1)*(u + 1)**2*(u + 2)/7
Let g(w) = -2*w**2 + w + 3. Let s be g(-4). Let p be s/(-9) + (-2)/(-6). Solve t - 3*t + 2 - 2*t**2 + p*t**3 - 2*t**3 = 0 for t.
-1, 1
Let w(y) be the third derivative of y**3 + 1/20*y**5 - 4*y**2 - 3/8*y**4 + 0 + 0*y. Factor w(z).
3*(z - 2)*(z - 1)
Let r(f) = -f + 3. Let a be r(3). Suppose -2*b - 12 - 2 = -3*o, -4*o + 5*b = -21. Factor 2/3*i**o + a + 2/9*i**2 + 2/9*i**5 + 0*i + 2/3*i**3.
2*i**2*(i + 1)**3/9
Let x(g) be the second derivative of -1/105*g**7 - 1/15*g**4 - 1/5*g**2 + 1/5*g**3 - 1/25*g**5 + 0 + 1/25*g**6 + 6*g. What is p in x(p) = 0?
-1, 1
Suppose 0 = 11*d + 2*d. Determine q so that -2/3*q**4 - 6*q**2 + 0*q + d - 4*q**3 = 0.
-3, 0
Let k(q) be the second derivative of q**7/56 - 3*q**6/40 + 9*q**5/80 - q**4/16 - 21*q. Suppose k(j) = 0. What is j?
0, 1
Determine p so that 98 + 14*p + 1/2*p**2 = 0.
-14
Let n be 6 - (-4 - 16/(-2)). Let f(l) be the third derivative of -1/35*l**5 - n*l**2 + 1/420*l**6 + 0 + 0*l - 8/21*l**3 + 1/7*l**4. Find q, given that f(q) = 0.
2
Suppose -4*u + 9 = 5. Let g(b) = b**2 - 5*b + 3. Let h be g(5). Factor u - x - x**2 - 2*x + 3*x**h + 0*x**2.
(x - 1)*(x + 1)*(3*x - 1)
Let w(v) = -v**2 + 2*v - 2. Let s be w(2). Let q be (-7)/(-22) + s/(-11). Let 0*m - 1/4*m**4 - 1/4*m**2 + 0 - q*m**3 = 0. Calculate m.
-1, 0
Let u(w) = -w + 6. Let y be u(6). Factor 4*o**4 - 4*o + 14*o + y*o + 20*o**2 + 2 + 2*o**5 + 6*o**4 + 20*o**3.
2*(o + 1)**5
Let u be -2*(-4)/(-24)*-33. Factor t**2 + 2*t**2 - 3*t**4 - 11*t + u*t.
-3*t**2*(t - 1)*(t + 1)
Let m be (52/(-24) + 2)*3/(-1). Factor 0 + 0*j + m*j**2.
j**2/2
Let a(l) be the first derivative of -2/3*l**3 + 0*l**4 + 0*l**2 - 1 - 1/1620*l**6 + 0*l - 1/270*l**5. Let v(z) be the third derivative of a(z). Factor v(o).
-2*o*(o + 2)/9
Let z = -19/5 + 4. Factor 0*l**2 + 0 + 1/5*l**3 - z*l.
l*(l - 1)*(l + 1)/5
Let w(q) be the third derivative of -q**5/270 + q**4/216 + 19*q**2. Solve w(j) = 0.
0, 1/2
Let g(v) be the second derivative of 0 + 1/3*v**4 + 0*v**5 - 1/15*v**6 + 0*v**3 + 5*v - v**2. Find t, given that g(t) = 0.
-1, 1
Let n(w) be the second derivative of -w**7/2940 + w**6/2520 + w**5/210 - w**4/6 - 3*w. Let d(v) be the third derivative of n(v). Factor d(z).
-2*(z - 1)*(3*z + 2)/7
Let s = 667773/50 - 13355. Let u(d) be the third derivative of s*d**5 + 4/15*d**3 + 1/21*d**7 + 0 + 0*d - 7/15*d**4 + d**2 - 7/30*d**6. Factor u(p).
2*(p - 1)**2*(5*p - 2)**2/5
Let l(d) be the first derivative of -5*d**4/4 - 8*d**3/3 - 5*d**2/2 - 6*d + 1. Let f(n) = -6*n**3 - 9*n**2 - 5*n - 7. Let a(z) = 4*f(z) - 5*l(z). Factor a(v).
(v + 1)**2*(v + 2)
Let l be 28/7*(0 + 2/4). Factor -2/9 - 56/9*n**3 - 44/9*n**l - 34/9*n**4 - 16/9*n - 8/9*n**5.
-2*(n + 1)**4*(4*n + 1)/9
Suppose -x = -0*x + 2. Let s be 1 + (-2 - x) + 1. Factor -14*t - 9 - 8*t**3 - 11*t - 24*t**s - 7*t - 7 - t**4.
-(t + 2)**4
Let s(y) be the second derivative of -y**6/240 - y**5/120 + y**2/2 - 2*y. Let l(q) be the first derivative of s(q). Find o, given that l(o) = 0.
-1, 0
Find p, given that 3/5*p**4 - 54/5*p + 63/5*p**2 + 0 - 24/5*p**3 = 0.
0, 2, 3
Let v = 4 + -4. Solve -2*y**2 - y**5 + v*y + 3*y**2 - y**4 + y**3 + 0*y = 0 for y.
-1, 0, 1
Let y = 70327/840 - 586/7. Let c(b) be the second derivative of 1/40*b**5 - 2*b - 1/8*b**2 - 1/12*b**3 + 0*b**4 + y*b**6 + 0. Factor c(o).
(o - 1)*(o + 1)**3/4
Let a be (-18)/(6/(-8)*-1). Let f be (9/a)/((-6)/8). What is v in -v + 0 - f*v**2 = 0?
-2, 0
Let u = -195/14 - -37/21. Let a = u - -377/30. Suppose 0 + 1/5*d + a*d**2 + 1/5*d**3 = 0. What is d?
-1, 0
Suppose -2*t - 56 = 2*t. Let j(v) = 7*v**3 - 16*v**2 + 19*v - 3. Let o(b) = -34*b**3 + 80*b**2 - 94*b + 14. Let m(d) = t*j(d) - 3*o(d). Solve m(g) = 0 for g.
0, 2
Factor -2*w**2 + 2 + 3*w - 4*w + 0*w**2 - 3*w**2 - 2*w**3.
-(w + 1)*(w + 2)*(2*w - 1)
Suppose -6 = 5*g - 7*g. Factor y**3 - 3*y**3 - y + g*y**3 + 0*y**3.
y*(y - 1)*(y + 1)
Factor -12 - 4/3*l**2 - 8*l.
-4*(l + 3)**2/3
Factor 5