*b**4/3 - 5*b**3/3 - 15*b + 2. Find k, given that g(k) = 0.
-5, -1, 0
Suppose 4*g - 10*g = 0. Factor 0 + 2/3*c**3 + 2/3*c**2 + g*c.
2*c**2*(c + 1)/3
Let l(m) = -m + 6. Let h be l(9). Let j = 4 + h. Factor j + 2*x**2 - 1.
2*x**2
Factor -5/4*y + 1/2 + y**2 - 1/4*y**3.
-(y - 2)*(y - 1)**2/4
Let s(y) = 5*y**3 - 8*y**2 + 7*y - 1. Let x(i) = i**3 - i + 1. Let o(z) = -s(z) + 3*x(z). Determine c so that o(c) = 0.
1, 2
Let v = -2 - -4. Suppose 3*t - 4*t = -v. Let -20*b**5 + 34*b**3 + 4 + b**t + 4*b**2 - 7*b**2 - 14*b - 2*b**4 = 0. What is b?
-1, 2/5, 1/2, 1
Let n(j) be the second derivative of -j**7/35 - j**6/60 + j**5/10 + j**4/12 + j**2 - 2*j. Let i(k) be the first derivative of n(k). Factor i(p).
-2*p*(p - 1)*(p + 1)*(3*p + 1)
Let m(q) = q**2 - 2*q - 4. Let x(w) = 2*w**2 - 5*w - 9. Let j(v) = -9*m(v) + 4*x(v). Let j(z) = 0. What is z?
-2, 0
Let v(j) be the third derivative of j**5/90 + j**4/6 + j**3 + 35*j**2. Factor v(f).
2*(f + 3)**2/3
Suppose -4*k + 3*z = -33, 2*k + z - 4 = 5. Solve 0 - k + 15*g + 14*g**2 - 5*g**2 = 0 for g.
-2, 1/3
Let k = 8 - 6. Suppose 3*w - 8 = -w - k*t, 3*w = 3*t + 15. Factor 4*y - 5*y**2 + 4*y**2 - w*y.
-y*(y - 1)
Suppose -u + 4*w = 10, 3*u = -u - 5*w + 23. Let a be -1*((-10)/(-6) - u). Let 0*s**2 + 0 + a*s**3 + 0*s = 0. What is s?
0
Let q be 14/49 - (-2)/(-7). Let -1/4*j**3 + q*j - 1/4*j**2 + 0 = 0. What is j?
-1, 0
Let r(x) be the second derivative of -1/240*x**6 + 0 + 3*x + 0*x**3 + 1/48*x**4 + x**2 + 0*x**5. Let v(l) be the first derivative of r(l). Factor v(q).
-q*(q - 1)*(q + 1)/2
Let b be (-10)/(-15)*(2 + 1). Let f(q) be the third derivative of -1/24*q**6 + 0*q + q**b + 0 + 1/12*q**4 + 0*q**3 + 1/20*q**5. What is w in f(w) = 0?
-2/5, 0, 1
Let h be ((-4)/(-6))/((-4)/(-30)). Let k(r) = r**2 + r - 2. Let u be k(-2). Factor 4*o + 2*o**4 - 9*o**3 + u - 2 + h*o**3.
2*(o - 1)**3*(o + 1)
Let l(u) be the third derivative of 0*u**4 + 0 + 1/240*u**5 + 4*u**2 - 1/24*u**3 + 0*u. Factor l(i).
(i - 1)*(i + 1)/4
Suppose 0 = -5*o + 4*c + 38, 3*o + 5*c - 3 = 5. Suppose 0 = -h + 5*x + 23, h - o*h - 5 = 5*x. Solve 27/4*r**5 - 39/4*r + 3/2 + 27/2*r**2 - 15*r**4 + h*r**3 = 0.
-1, 2/9, 1
Let y(m) = m**2 + 2*m. Let k be y(-3). Suppose 0 = -0*l - k*l. Let 1/2*j**3 - 1/4 + 1/4*j**4 + l*j**2 - 1/2*j = 0. Calculate j.
-1, 1
Let b be 12/(-30) + (-72)/(-30). Solve 2/5*a + 0 + 6/5*a**b = 0.
-1/3, 0
Let s = 2 - 0. Factor -3 + 4 - 4 - 5*i**s + 8*i**2.
3*(i - 1)*(i + 1)
Let i(q) = -3*q**2 + 90*q - 407. Let n(h) = -5*h**2 + 180*h - 815. Let x(t) = 5*i(t) - 2*n(t). Factor x(y).
-5*(y - 9)**2
Factor 1/2*l**2 + 0 + 1/2*l.
l*(l + 1)/2
Determine b, given that -5*b**4 + 16*b**3 - 48*b + 11 + 8*b**4 - 8*b**2 + 25 + b**4 = 0.
-3, 1
Let n be (4/2)/((-10)/(-15)). Let r be (-3)/(-7) - n/21. Determine t so that 4/7 - 2/7*t - r*t**2 = 0.
-2, 1
Let u(w) be the third derivative of w**8/20160 - w**7/2520 - w**5/30 - 2*w**2. Let b(q) be the third derivative of u(q). Factor b(c).
c*(c - 2)
Find q such that -1/2*q**3 + 1/2*q + 1/2 - 1/2*q**2 = 0.
-1, 1
Suppose 0 - 21/5*t - 3/5*t**2 = 0. What is t?
-7, 0
Let v(i) be the third derivative of i**2 + 0*i + 1/420*i**7 + 0*i**3 + 0 + 1/240*i**6 + 0*i**4 + 0*i**5. Factor v(u).
u**3*(u + 1)/2
Let d be (1/3)/(9/27). Suppose 5*q - q - 4 = 0, -3*x = -5*q - d. Let 0*m**x + 0 + 1/4*m**4 + 0*m - 1/2*m**3 = 0. What is m?
0, 2
Let b(l) be the third derivative of -l**8/60 + 2*l**7/525 + 7*l**6/75 - 2*l**5/75 - 7*l**4/30 + 2*l**3/15 + 17*l**2. Determine t, given that b(t) = 0.
-1, 1/7, 1
Find v, given that 4/13 - 2/13*v**2 + 2/13*v = 0.
-1, 2
What is y in -12*y + 3*y**2 - 11*y - 11*y + 46*y = 0?
-4, 0
Let i(n) = 15*n**2 + 15*n + 15. Let l(c) = 7*c**2 + 8*c + 8. Let p(m) = 4*i(m) - 9*l(m). Determine s so that p(s) = 0.
-2
Let d(b) be the first derivative of b**6/120 + b**5/60 + 5*b**2/2 + 4. Let h(l) be the second derivative of d(l). Factor h(z).
z**2*(z + 1)
Suppose -2*p = -21 + 11. Factor 3*d**4 + 7*d**4 - 9*d**4 + d**p.
d**4*(d + 1)
Let b(s) be the third derivative of -s**5/60 + 5*s**4/24 + 2*s**3/3 - 2*s**2. Let t be b(5). Solve z**4 - 4*z**3 - z**2 - t*z + 1 + 9*z**2 - 2*z**2 = 0.
1
Let o = 193/53 + -15/106. Factor 0 + 5/2*f**3 + o*f**2 + f.
f*(f + 1)*(5*f + 2)/2
Let r(t) be the first derivative of t**9/10584 + t**8/5880 - t**7/2940 - t**6/1260 + 2*t**3/3 - 1. Let g(y) be the third derivative of r(y). Solve g(p) = 0.
-1, 0, 1
Let k(s) = -7*s**3 + 6*s**2 - 7*s + 4. Let u(d) = 13*d**3 - 12*d**2 + 13*d - 7. Let v(x) = -7*k(x) - 4*u(x). Factor v(p).
-3*p*(p - 1)**2
Let c(a) be the second derivative of 0 + 1/3*a**2 - 1/60*a**5 + 1/18*a**3 - 5*a - 1/18*a**4. Factor c(g).
-(g - 1)*(g + 1)*(g + 2)/3
Let l(r) be the third derivative of -5*r**8/336 - 11*r**7/105 - 19*r**6/60 - 8*r**5/15 - 13*r**4/24 - r**3/3 + 12*r**2. Determine p so that l(p) = 0.
-1, -2/5
Let d(i) be the second derivative of -i**9/15120 - i**8/3360 + 5*i**4/12 + 2*i. Let v(f) be the third derivative of d(f). Factor v(s).
-s**3*(s + 2)
Let l(h) be the third derivative of 2*h**7/105 + h**6/20 - 4*h**5/15 + h**4/4 + 13*h**2. Factor l(z).
2*z*(z - 1)*(z + 3)*(2*z - 1)
Let w = -1 - -1. Let a(c) = c + 7. Let u be a(-4). Factor 2*x**2 - u + 1 + w.
2*(x - 1)*(x + 1)
Let w(q) be the first derivative of -7*q - 3 + 36*q**2 + 11*q + 8*q + 35*q**3. Find z, given that w(z) = 0.
-2/5, -2/7
Let u(q) be the second derivative of 0*q**5 + 2/75*q**6 + 0*q**3 + 0 + 7*q + 0*q**4 + 0*q**2. Find d such that u(d) = 0.
0
Let z(w) = -w**3 - 3*w**2 - w. Let t be z(-3). Factor -11 - 6*b**4 + 3*b**5 + 11 + t*b**3.
3*b**3*(b - 1)**2
Let f be 138/300 - 2/5. Let q(a) be the second derivative of -a + 1/10*a**2 + 1/50*a**5 + 0 - f*a**6 + 2/105*a**7 + 2/15*a**4 - 1/5*a**3. Factor q(m).
(m - 1)**3*(m + 1)*(4*m - 1)/5
Let k(l) = 5 + 5*l**2 + 9*l + 6*l**2 + 3*l**3 + 0. Let g(t) = 12*t**3 + 45*t**2 + 36*t + 21. Let o(y) = -2*g(y) + 9*k(y). Determine b so that o(b) = 0.
-1
Let c = 11 - 6. Let f(s) = -9*s**2 + 9*s + 3. Let n(k) = 4*k**2 - 4*k - 2. Let o(d) = c*n(d) + 2*f(d). Suppose o(v) = 0. Calculate v.
-1, 2
Let v be ((-90)/(-3))/((-7)/37). Let i = -158 - v. What is s in -2/7 - 2/7*s**2 + i*s = 0?
1
Suppose 4*q + 16 = 0, -3*l = -4*q - 0 - 7. Let c(s) = 22*s**2 + 16*s + 2. Let n(t) = 21*t**2 + 15*t + 2. Let r(d) = l*c(d) + 4*n(d). Factor r(k).
2*(3*k + 1)**2
Let n(z) = -3*z**2 - 30*z + 2. Let a be n(-10). What is t in -36/5*t**a + 6/5 + 9/5*t + 21/5*t**3 = 0?
-2/7, 1
Let w(b) = -4*b**3 - 16*b**2 - 16*b + 2. Let j(c) = -4*c**3 - 16*c**2 - 16*c + 3. Let a(y) = 2*j(y) - 3*w(y). Suppose a(u) = 0. Calculate u.
-2, 0
Let q(c) = c - 1. Let n = 0 - 1. Let d(t) be the third derivative of t**7/210 + t**4/24 - t**3/6 + 2*t**2. Let x(r) = n*q(r) + d(r). Factor x(b).
b**4
Solve -35/2*i**3 - 49/4*i**4 + 13*i**2 + 0 - 2*i = 0 for i.
-2, 0, 2/7
Let b(c) be the second derivative of 0*c**3 + 1/30*c**4 + 0*c**2 + 3*c - 1/50*c**5 - 1/75*c**6 + 0 + 1/105*c**7. Find g, given that b(g) = 0.
-1, 0, 1
Let u(b) = 2*b**4 - 10*b**3 + 8*b**2 - 2*b - 4. Let a(w) = -w**3 - w**2 + w - 2. Let x(n) = 2*a(n) - u(n). Factor x(s).
-2*s*(s - 2)*(s - 1)**2
Let l(d) be the third derivative of d**7/420 - d**6/80 + d**5/40 - d**4/48 - 18*d**2. Factor l(p).
p*(p - 1)**3/2
Suppose 2*r + 2*j + 11 - 5 = 0, -5*r = 2*j. Suppose 5*l + 20 = 0, 4 = -r*i - 2*l - 0. Determine f, given that 0 - 1/5*f - 1/5*f**i = 0.
-1, 0
Let p be (-21)/(-42)*(-2)/(-4). Factor p*h**3 + 0 - 3/2*h**2 + 9/4*h.
h*(h - 3)**2/4
Let v(z) be the third derivative of -z**7/6300 + z**6/1800 - z**4/8 - 3*z**2. Let g(w) be the second derivative of v(w). Find t such that g(t) = 0.
0, 1
Let j = 70 - 68. Let r(k) be the third derivative of 1/240*k**5 + j*k**2 - 1/96*k**4 + 0 + 0*k + 0*k**3. Determine y, given that r(y) = 0.
0, 1
Let t(q) be the third derivative of q**8/112 + q**7/105 - q**6/30 - q**5/30 + q**4/24 + 22*q**2. Factor t(g).
g*(g - 1)*(g + 1)**2*(3*g - 1)
Suppose 5 + 5/3*a**3 + 5/3*a**2 - 25/3*a = 0. What is a?
-3, 1
Let z(d) = -2*d**3 + 2*d - 3. Let c(h) = 2*h**3 - 2*h + 4. Let l = 1 - -2. Let i(x) = l*c(x) + 4*z(x). Factor i(m).
-2*m*(m - 1)*(m + 1)
Suppose -16 - 4*q**2 + 15*q - 4*q + 10*q - 5*q = 0. Calculate q.
2
Let j(z) = -z**2 + 5*z + 8. Let w be j(6). Let k be 5*(34/10 - 3). Determine v so that 1 - w*v - 2*v**2 - k*v - 3 = 0.
-1
Let c(n) = -9*n**4 - 33*n**3 + 9*n**2 + 33*n + 