 + 8*q - 13*q**4 + 36*q**2.
-4*q*(q - 1)*(q + 1)*(9*q + 2)
Let b(z) = -3*z - 4. Let s(p) = -2*p - 3. Let k(x) = -3*b(x) + 4*s(x). Let a(w) = -2*w**2 - 2*w - 4. Let m(l) = a(l) - 4*k(l). Factor m(n).
-2*(n + 1)*(n + 2)
Determine o, given that 15*o**2 + 8*o**2 - 25*o**3 + 10*o**4 - 5*o - 3*o**2 = 0.
0, 1/2, 1
Suppose 3*c - 15 = -6. Let z(x) be the first derivative of 0*x + 1/4*x**4 - 1 + 0*x**c - 1/2*x**2. Factor z(y).
y*(y - 1)*(y + 1)
Suppose 0 = 4*g + 12, 5*h + 5*g + 11 = 1. Let t be 1/1 + 1/h. Solve 3*l**t + l**2 - 2*l**4 - 1 - 1 = 0 for l.
-1, 1
Let g(i) be the first derivative of i**7/70 + i**6/24 - i**5/60 - 5*i**4/24 - i**3/3 - i**2/2 + 3. Let h(f) be the second derivative of g(f). Factor h(d).
(d - 1)*(d + 1)**2*(3*d + 2)
Let m(g) be the first derivative of -g**4 + 4*g**3/3 + 6. Factor m(l).
-4*l**2*(l - 1)
Let m(i) be the second derivative of -i**4/4 - i**3 + 11*i. Factor m(c).
-3*c*(c + 2)
Suppose -57 = -q - g - 0*g, 0 = q + 5*g - 73. Factor -4*k + 2*k**4 + q*k**3 - 6*k**2 - 53*k**3.
2*k*(k - 2)*(k + 1)**2
Suppose -12 = 3*j - 2*j - 3*o, -2*o = 5*j - 8. Let 0*k**2 + j*k - 2/5*k**3 + 0 = 0. Calculate k.
0
Let x(g) = 10*g**3 - 14*g**2 - 6*g - 6. Let k(q) = -q**3 + q**2 + q + 1. Let j(l) = -6*k(l) - x(l). What is s in j(s) = 0?
0, 2
Let k(n) be the second derivative of 0 + 0*n**5 - 4*n + 2/195*n**6 - 1/273*n**7 + 0*n**2 + 1/39*n**3 - 1/39*n**4. Suppose k(q) = 0. What is q?
-1, 0, 1
Let l = -2143/11 - -195. Factor -4/11*w**3 + 2/11 + 4/11*w - l*w**4 + 0*w**2.
-2*(w - 1)*(w + 1)**3/11
Let m(q) = -3*q**4 - 6*q**3 + 5*q**2 - 8. Let n(t) = -2*t**4 - 4*t**3 + 3*t**2 - 5. Let d(w) = 5*m(w) - 8*n(w). Suppose d(i) = 0. What is i?
-1, 0
Let v(j) = -6*j**3 - 9*j**2 + 12*j + 9. Let m(b) = 12*b**3 + 18*b**2 - 23*b - 17. Let i(w) = 3*m(w) + 5*v(w). Find z such that i(z) = 0.
-2, -1/2, 1
Let b(s) be the second derivative of -s**4/3 - 2*s**3/3 - 9*s. What is h in b(h) = 0?
-1, 0
Let s(k) = -9*k + 45. Let x be s(5). Factor x + 1/2*q**3 + 1/2*q**4 + 0*q - 1/2*q**2 - 1/2*q**5.
-q**2*(q - 1)**2*(q + 1)/2
Let z(m) be the second derivative of m**7/336 - m**6/120 - 16*m. Factor z(q).
q**4*(q - 2)/8
Let k(h) be the first derivative of 0*h**2 - 1/3*h**6 - 4 - 1/2*h**4 - 1/9*h**3 + 0*h - 11/15*h**5. Find a, given that k(a) = 0.
-1, -1/2, -1/3, 0
Determine t, given that 13 - 50*t - 3*t**2 + t**2 + 3 + 64*t = 0.
-1, 8
Let r(g) be the third derivative of 2*g**5/105 + 5*g**4/84 + g**3/21 + 5*g**2. Factor r(i).
2*(i + 1)*(4*i + 1)/7
Determine t so that 0*t - 2/15 + 0*t**3 + 4/15*t**2 - 2/15*t**4 = 0.
-1, 1
Suppose o + 4*l + 6 = 0, -3*o - o - l + 6 = 0. Factor -2*i**4 - i**2 + 2*i**5 + i**o.
2*i**4*(i - 1)
Let y(w) be the third derivative of -1/3*w**3 + 0*w + 1/40*w**5 + 1/360*w**6 + 0 + w**2 + 1/12*w**4. Let l(d) be the first derivative of y(d). Factor l(x).
(x + 1)*(x + 2)
Let b = 234 - 231. Solve 1/3*p + 0*p**2 - 1/3*p**b + 0 = 0.
-1, 0, 1
Let i = -357 - -1791/5. Factor -6/5*w**3 + i*w + 0*w**2 + 3/5 - 3/5*w**4.
-3*(w - 1)*(w + 1)**3/5
Let i(y) be the third derivative of y**8/1344 + y**7/120 + 19*y**6/480 + 5*y**5/48 + y**4/6 + y**3/6 + 5*y**2. Let i(t) = 0. What is t?
-2, -1
Solve -196/5 - 28/5*k - 1/5*k**2 = 0 for k.
-14
Let y be (17 + -18)/((-2)/6). Let q be (-2)/(-10) + y/35. Determine l, given that -2/7*l**2 + q*l + 2/7 - 2/7*l**3 = 0.
-1, 1
Let d(w) be the second derivative of w**6/1080 + w**5/180 + w**4/72 - w**3/6 - 5*w. Let c(m) be the second derivative of d(m). Factor c(g).
(g + 1)**2/3
Let q = 0 + 2. Let x(v) be the first derivative of -3 + 1/14*v**4 - 1/7*v**q + 2/7*v - 2/21*v**3. What is d in x(d) = 0?
-1, 1
Let g = 42 + -41. Factor -114*o**2 - 328*o**3 - 35/2*o - g - 352*o**4.
-(4*o + 1)**3*(11*o + 2)/2
Let z(s) be the third derivative of -s**5/30 - s**4/12 + 2*s**3/3 - 9*s**2. Factor z(i).
-2*(i - 1)*(i + 2)
Let w(m) be the first derivative of -m**7/420 + m**6/90 - m**5/60 - m**3 + 2. Let x(y) be the third derivative of w(y). Determine h so that x(h) = 0.
0, 1
Let i(y) = -y**3 + 4*y**2 + y - 1. Let a be i(4). Let n be (a/(-5))/((-1)/5). What is s in -2 - 2*s**2 - 5*s + 4*s + n*s**2 = 0?
-1, 2
Let l be (60/(-300))/((4/10)/(-1)). Suppose l - 1/2*p**2 + 0*p = 0. What is p?
-1, 1
Let b = 44 - 87/2. What is t in -1/2*t**2 + 0 - b*t = 0?
-1, 0
Let m(z) be the second derivative of z**7/273 - z**6/195 - z**5/130 + z**4/78 + 18*z. Factor m(j).
2*j**2*(j - 1)**2*(j + 1)/13
Suppose 8*t**3 + 7*t**2 - 4*t - 14*t**5 + 6*t**3 + 3*t**2 - 10*t**4 + 4*t**3 = 0. Calculate t.
-1, 0, 2/7, 1
Find s, given that 8*s**3 - 8*s**2 - 5*s**3 - 12*s**3 + 4*s**5 + 4*s + 4 + s**3 + 4*s**4 = 0.
-1, 1
Let z(y) be the second derivative of -2*y**7/21 + 2*y**6/3 - 6*y**5/5 - 2*y**4/3 + 14*y**3/3 - 6*y**2 - 34*y. Solve z(t) = 0 for t.
-1, 1, 3
Let s(g) be the first derivative of 1/20*g**5 + 2 + g - 2*g**2 + 0*g**3 + 1/4*g**4. Let c(w) be the first derivative of s(w). Let c(o) = 0. What is o?
-2, 1
Factor 0 + 0*p - 10/9*p**3 + 2/9*p**4 + 0*p**2.
2*p**3*(p - 5)/9
Suppose z + 2 = 4. Let -5*c**5 - c**5 + 3*c**5 - 28*c**4 - 86*c**z - 73*c**3 - c**5 - 8 - 44*c = 0. What is c?
-2, -1/2
Let p(d) be the third derivative of -d**5/140 - d**4/4 - 7*d**3/2 + 21*d**2. Factor p(i).
-3*(i + 7)**2/7
Let l = -2321/5 + 467. Let -18/5*h**2 + 2*h**3 - 2*h + 4/5 + l*h**4 = 0. What is h?
-1, 2/7, 1
Let i(h) be the second derivative of -1/4*h**4 + 0 + 1/3*h**3 - 1/42*h**7 - 1/20*h**5 + 0*h**2 + 1/10*h**6 + 8*h. Solve i(p) = 0 for p.
-1, 0, 1, 2
Let r(s) be the second derivative of s**4/4 + s**3/2 - 3*s**2 - 5*s. Solve r(y) = 0 for y.
-2, 1
Let c be 2 + 0 + 1 + 9. Factor -24*j - 5 - 11 + 5*j**3 - c*j**2 - 7*j**3.
-2*(j + 2)**3
Let g(d) = d**2 - 1. Let s be g(2). Suppose 33 = 3*v - s*q, 10 = -3*q + q. Determine r so that v + 3/2*r**2 - 6*r = 0.
2
Suppose -147/2*s + 21/2*s**2 + 343/2 - 1/2*s**3 = 0. What is s?
7
Suppose -4*a - 2*d = 2*d - 52, 4*a - 44 = -2*d. Let g = a + -5. Factor -3*k**2 - 4*k - g*k - 1 - 3 + 0*k**2.
-(k + 2)*(3*k + 2)
Let o(l) be the first derivative of -1/14*l**4 - 5/7*l**2 - 4/7*l - 2 - 8/21*l**3. Let o(z) = 0. What is z?
-2, -1
Determine x so that 1/4*x**4 + 0 + 0*x - 1/4*x**2 + 0*x**3 = 0.
-1, 0, 1
Let d(l) = l**3 - 5*l**2. Let o(r) be the second derivative of 0*r**3 + 0 + 3/20*r**5 - 7/6*r**4 - 2*r + 0*r**2. Let c(m) = 11*d(m) - 4*o(m). Factor c(n).
-n**2*(n - 1)
Let w(t) = -36*t**4 - 21*t**3 - t**2 + 3*t - 3. Let u(s) = -s**3 - s**2 - s + 1. Let d(n) = -3*u(n) - w(n). Find c such that d(c) = 0.
-1/3, 0
Let f(i) be the first derivative of -7/6*i**3 - 4 - 1/2*i**4 - i**2 + 2*i. Let z(s) be the first derivative of f(s). Suppose z(q) = 0. What is q?
-2/3, -1/2
Let l = -8 + 4. Let p be 24/27*(-1)/l. What is w in p*w**2 + 0 + 4/9*w = 0?
-2, 0
Let u be (5/(-20))/(10/(-8)). Let s = -1 + 1. Factor -1/5*q**5 + s - 1/5*q**4 + 0*q + 1/5*q**2 + u*q**3.
-q**2*(q - 1)*(q + 1)**2/5
Let y = 15/28 - 31/84. Factor 0 - 1/6*n**3 - y*n + 1/3*n**2.
-n*(n - 1)**2/6
Let y(v) be the first derivative of 1/8*v**4 + 5/4*v**2 + 2/3*v**3 - 3 + v. Solve y(a) = 0.
-2, -1
Let a(d) = 10*d**2 + 11*d + 1. Let q(r) = -10*r**2 - 10*r. Let u(b) = 4*a(b) + 5*q(b). Factor u(t).
-2*(t + 1)*(5*t - 2)
Let q(s) = -2*s**2 - 13*s + 2. Let g(a) = -3*a**2 - 27*a + 3. Let y(n) = 4*g(n) - 9*q(n). Determine v, given that y(v) = 0.
-2, 1/2
Let y(t) be the first derivative of -t**5/30 + t**3/9 - 2*t - 2. Let u(h) be the first derivative of y(h). Factor u(b).
-2*b*(b - 1)*(b + 1)/3
Let j = 44 + -42. Let -2/5*m**4 - 8/5*m**3 + 8/5*m**5 + 0*m + 2/5*m**j + 0 = 0. Calculate m.
-1, 0, 1/4, 1
Let p be 0/(-3) + 0 - (-1 + 1). Let x(z) be the second derivative of 3*z + 0*z**2 + 0 - 1/27*z**4 + 1/90*z**5 + p*z**3. Factor x(u).
2*u**2*(u - 2)/9
Let s be (-4)/(-50)*(-5)/(-588). Let a(p) be the third derivative of -1/84*p**4 + 0*p**6 + 0*p**3 + 4*p**2 + s*p**7 + 0*p - 1/140*p**5 + 0. Factor a(v).
v*(v - 2)*(v + 1)**2/7
Let q(w) be the third derivative of 1/60*w**6 - 1/4*w**4 + 2/3*w**3 + 4*w**2 + 0*w**5 + 0 + 0*w. Factor q(c).
2*(c - 1)**2*(c + 2)
Suppose 0 = -2*v - 2 + 8. Suppose -x = v*x. Solve -2/11*g**2 + 2/11 + x*g = 0.
-1, 1
Factor -2/15*g**2 + 0*g + 0.
-2*g**2/15
Suppose -5*l = 4*w - 30, -2*l + 45*w - 46*w = -9. Let 0*t**l + 1/4*t - 1/4*t**3 + 0 = 0. Calculate t.
-1, 0, 1
Let k be (2/6)/((-1)/(-6)). Factor 3*h**3 - 2*h**2 + k*h**2 + h**5 - 2*h**3