 - 2*b**2/7 + 4. Find q, given that w(q) = 0.
-2, 0
Let h be 2/(-4)*(11 + -1). Let o = 8 + h. Factor -10*l**4 - 14*l**4 - 3*l - 8*l**o - l**5 + 28*l**2 + 15*l**5 - 4 - 3*l.
2*(l - 1)**3*(l + 1)*(7*l + 2)
Let f(t) be the third derivative of -5*t**8/336 + t**6/12 - 5*t**4/24 + 6*t**2. Let f(b) = 0. Calculate b.
-1, 0, 1
Let o = -416/101 - -44803/505. Let p = 85 - o. Determine y, given that 0*y**2 - 4/5*y**4 + 0 + p*y**3 + 2/5*y**5 + 0*y = 0.
0, 1
Let v(c) = -3*c**3 + 14*c**2 + 3*c - 4. Let m(i) = -i**2 - 1. Let l(r) = -5*m(r) - v(r). Solve l(o) = 0 for o.
-1, 1, 3
Let r(c) be the second derivative of 0 - 1/3*c**2 - 2*c + 1/24*c**4 - 1/180*c**6 + 1/9*c**3 - 1/60*c**5. Factor r(o).
-(o - 1)**2*(o + 2)**2/6
Let 9/2*j + 3/4*j**2 + 15/4 = 0. Calculate j.
-5, -1
Let p = -49 - -49. Let h(c) be the second derivative of 1/42*c**4 + 0 + 0*c**3 + 3*c + p*c**2. Factor h(s).
2*s**2/7
Factor 8*l**4 + l**5 - 10*l**3 + 37*l**3 + 25*l**2 + 8*l + 3*l**4.
l*(l + 1)**3*(l + 8)
Let n(i) be the third derivative of 3*i**2 - 1/480*i**6 + 0 + 0*i**3 + 0*i**4 + 0*i + 1/240*i**5. Factor n(z).
-z**2*(z - 1)/4
Let n(k) = k**2 + 5*k + 4. Let i be n(-5). Suppose -1 + 7 = -r - i*g, -8 = 4*g. Determine x so that 2/5 + 4*x**2 + 2/5*x**5 + r*x + 4*x**3 + 2*x**4 = 0.
-1
Let j(v) = 2*v**2 - 2*v - 1. Let a(u) = 1 - 3*u + u + 0*u**2 + 2*u**2 - 3. Let t(y) = -3*a(y) + 2*j(y). Factor t(l).
-2*(l - 2)*(l + 1)
Let a(k) be the third derivative of -k**7/840 - k**6/240 + k**4/48 + k**3/24 - 7*k**2. Factor a(q).
-(q - 1)*(q + 1)**3/4
Let m(z) be the third derivative of -z**6/40 + z**5/5 - 5*z**4/8 + z**3 + 5*z**2. Find v such that m(v) = 0.
1, 2
Let l be 4 + (-3 - (0 + -3)). Suppose l*t - 4 = -z, z = 4*z + 2*t - 2. Find w, given that 2/7*w**2 + 0 + 2/7*w**3 + z*w = 0.
-1, 0
Let f(z) be the first derivative of -z**9/4536 + z**8/1680 - z**7/2520 - z**3/3 + 4. Let c(s) be the third derivative of f(s). Factor c(l).
-l**3*(l - 1)*(2*l - 1)/3
Solve 15/8*f**2 - 9/2*f + 3/2 = 0 for f.
2/5, 2
Let d(c) be the second derivative of c**5/210 + c**4/42 - c**3/7 + c**2 - 4*c. Let l(n) be the first derivative of d(n). Suppose l(s) = 0. What is s?
-3, 1
Let a(b) = 45*b**3 + 84*b**2 + 43*b + 6. Let d(u) = -45*u**3 - 84*u**2 - 42*u - 6. Let k(n) = -3*a(n) - 2*d(n). Factor k(c).
-3*(c + 1)*(3*c + 2)*(5*c + 1)
Let c be (-32)/36*(-3)/4. Let f(j) be the first derivative of 0*j + 0*j**2 - 1 + 2/5*j**5 + 1/3*j**6 - 1/2*j**4 - c*j**3. Suppose f(b) = 0. Calculate b.
-1, 0, 1
Let t(w) be the third derivative of w**7/70 + w**6/20 + w**2. Factor t(d).
3*d**3*(d + 2)
Let x(s) = -4*s**2 - 4*s - 7. Let u(t) = t**2 + t + 2. Let l(g) = 21*u(g) + 6*x(g). Determine w so that l(w) = 0.
-1, 0
Let c(b) be the second derivative of -3*b**5/50 + 2*b**4/5 - 3*b**3/5 - b - 10. Determine f, given that c(f) = 0.
0, 1, 3
Suppose -20 = 32*b - 37*b. Factor 6*v**2 + 2/3 - b*v - 8/3*v**3.
-2*(v - 1)**2*(4*v - 1)/3
Let v(i) = i**2 - i + 2. Let d be v(2). Let z = d - 4. Suppose z + 0*r + 0*r**2 + 2/5*r**3 = 0. What is r?
0
Find d such that 1/9*d**4 - 2/9*d - 1/9*d**2 + 2/9*d**3 + 0 = 0.
-2, -1, 0, 1
Let t = -9 + 13. Let q(x) be the third derivative of 1/360*x**6 + 1/180*x**5 + 0 + 0*x**3 + 0*x**t - x**2 + 0*x. Factor q(j).
j**2*(j + 1)/3
Let h be 36/(-120)*(-2)/18. Let x(s) be the second derivative of -2*s - 1/75*s**6 - 1/50*s**5 + 0*s**2 + h*s**4 + 0 + 1/15*s**3. Suppose x(j) = 0. Calculate j.
-1, 0, 1
Let r(q) be the third derivative of 1/168*q**8 + 0*q**7 + 1/12*q**4 + 0*q + 0 + 3*q**2 - 1/30*q**6 + 0*q**5 + 0*q**3. Factor r(u).
2*u*(u - 1)**2*(u + 1)**2
Let r(j) be the third derivative of j**7/10080 + j**6/1440 - j**4/6 - 3*j**2. Let h(g) be the second derivative of r(g). Factor h(b).
b*(b + 2)/4
Let o(n) = -6*n**3 + 36*n**2 - 51*n. Let b(r) = -r**3 + 7*r**2 - 10*r. Let l(x) = 21*b(x) - 4*o(x). Solve l(i) = 0 for i.
-2, 0, 1
Let j(l) = l**2 + 6*l + 5. Let f be j(-7). Suppose -3*a + 2*a - 2*v + f = 0, 4*v = 20. Factor -2/3*m + 1/3*m**a + 1/3.
(m - 1)**2/3
Let o(q) be the first derivative of 5*q**3/3 - 3*q**2/2 + 4*q + 3. Let h(n) = 3*n - 6*n**2 - 2 - 4 + 1. Let u(v) = 3*h(v) + 4*o(v). Let u(m) = 0. Calculate m.
1/2, 1
Suppose 0 = 5*s - 3 - 2. Suppose 2*w - s - 3 = 0. Factor 5*m**2 - m**2 + w*m - 2*m**2.
2*m*(m + 1)
Factor -3*k**2 + 3 + 10 - 8 - 2.
-3*(k - 1)*(k + 1)
Let w be 4/18 + (-1)/45. Find d such that 1/5*d**2 + 0 + w*d = 0.
-1, 0
Let j(u) be the second derivative of -u**3/3 - 2*u**2 - 2*u. Let r be j(-3). What is o in -1 + 1 + 2*o**2 - r*o**3 = 0?
0, 1
Let w(s) be the third derivative of -s**6/30 - s**5/5 + 8*s**3/3 + 27*s**2. Solve w(g) = 0 for g.
-2, 1
Factor 128/3 + 2/3*q**2 - 32/3*q.
2*(q - 8)**2/3
Let f(i) = 6*i**3 - 3*i**2 - 5*i - 1. Let w be f(-3). Let p be (-4)/14 + (-155)/w. Solve -p*n**4 + 0*n**2 + 0 + 0*n - 6/5*n**3 = 0.
-2, 0
Let b(q) = -q**4 - q**3 + q + 1. Let y(k) = -k**5 - 7*k**4 - 5*k**3 + 2*k**2 + 6*k + 5. Let v = -7 - -6. Let t(c) = v*y(c) + 5*b(c). Factor t(m).
m*(m - 1)*(m + 1)**3
Let a be (4 - (-21)/(-6))/3. Let t(g) be the first derivative of 1 + 1/16*g**4 + 0*g + a*g**3 + 0*g**2. Suppose t(h) = 0. What is h?
-2, 0
Suppose b - 4*z - 8 - 14 = 0, -3*b + 11 = -z. Find p, given that 4*p**3 - p - b*p**3 - p = 0.
-1, 0, 1
Let p(o) be the second derivative of o**7/5040 - o**6/1440 + o**4/3 - 4*o. Let b(c) be the third derivative of p(c). Determine j so that b(j) = 0.
0, 1
Let i(p) be the second derivative of 1/135*p**6 + 0*p**2 + 0 - 1/54*p**4 + 1/189*p**7 + 0*p**3 - 4*p - 1/90*p**5. Factor i(o).
2*o**2*(o - 1)*(o + 1)**2/9
Find x such that -1/2 - 6*x**2 - x**4 + 17/4*x**3 + 13/4*x = 0.
1/4, 1, 2
Suppose 0 = 5*l - 3*l. Suppose 6*c - 2*c - 20 = l. Let -2*t**3 + 0*t + 1/2*t**4 - 1/2*t**2 + 2*t**c + 0 = 0. What is t?
-1, -1/4, 0, 1
Let x be (-3 + (-10)/(-5))*-5. Suppose -x*m = -m. What is j in -4/5*j**3 + 0*j**2 + 2/5*j**5 + m*j + 2/5*j**4 + 0 = 0?
-2, 0, 1
Let q = 185 - 182. Solve 0 + 2/9*n**q - 2/9*n + 0*n**2 = 0.
-1, 0, 1
Let m(o) = -5*o**4 + 12*o**3 - 12*o**2 - 4*o. Let w(a) = -5*a**4 + 12*a**3 - 11*a**2 - 2*a. Let x(q) = 2*m(q) - 3*w(q). Factor x(f).
f*(f - 1)**2*(5*f - 2)
Factor 8 - 4/3*h**2 - 4/3*h.
-4*(h - 2)*(h + 3)/3
Let g = 86 + -84. Factor 4/9 - 2/9*p**g - 2/9*p.
-2*(p - 1)*(p + 2)/9
Let q = 2/73 + 65/292. Factor 1/4*j**4 + 0 + 0*j - q*j**3 + 0*j**2.
j**3*(j - 1)/4
Let h(g) be the first derivative of g**7/2520 - g**6/540 + g**5/360 + 2*g**3/3 + 3. Let i(m) be the third derivative of h(m). Solve i(t) = 0 for t.
0, 1
Suppose 875/2*q**4 + 10 + 1175/2*q**3 + 245/2*q**5 + 100*q + 725/2*q**2 = 0. Calculate q.
-1, -2/7
Let v = -397/324 + -2/81. Let b = v - -3/2. Factor b*u**2 + 3/4*u + 1/2.
(u + 1)*(u + 2)/4
Factor 6*p + 3/4*p**2 + 12.
3*(p + 4)**2/4
Let n be (-5)/1 - (-32 + -3)/5. Let 1/2*l**n + 0*l**3 + 0 + 0*l - 1/2*l**4 = 0. Calculate l.
-1, 0, 1
Determine p so that 8*p**3 - 8*p + 9*p - 4*p**4 - 9*p + 4 = 0.
-1, 1
Let l = 6627/5 - 1331. Let a = l - -29/5. Find w such that 1/5*w**3 - 2/5*w**2 + 0 + a*w = 0.
0, 1
Suppose -6*q + 11 - 5 = 0. Let z(n) = 6 + n**2 - 5 + 4. Let l(p) = 1. Let v(x) = q*z(x) - 5*l(x). Factor v(y).
y**2
Suppose 4*f = 20, -5*f + 18 = -u - 5. What is c in 0*c - 2*c + 9 + c**u - 4*c = 0?
3
Let g(r) be the third derivative of r**5/20 + r**4/8 + 3*r**2. Factor g(i).
3*i*(i + 1)
Let j = -121 + 1453/12. Let s(o) be the third derivative of -3*o**2 + 1/60*o**5 + 1/6*o**3 + 0*o + 0 + j*o**4. Factor s(z).
(z + 1)**2
Let a = 24 - 20. Let j(i) be the second derivative of 1/105*i**6 + 1/21*i**3 - 1/70*i**5 + 2/7*i**2 + i - 1/14*i**a + 0. Factor j(v).
2*(v - 2)*(v - 1)*(v + 1)**2/7
Let c(d) be the first derivative of 1 - 2*d**3 - 3/2*d + 15/4*d**2. Solve c(s) = 0 for s.
1/4, 1
Let c(j) be the third derivative of j**5/210 - 20*j**2. Determine x so that c(x) = 0.
0
Let b(f) = -10*f + 6. Let t(v) = 0*v - 10 - v + 10 - v**2. Let z(g) = -b(g) + 2*t(g). Let z(n) = 0. What is n?
1, 3
Let b(t) = -t**3 + 5*t**2 + t - 7. Let r be b(5). Let w = r - -2. Suppose w*x**2 - 7*x**5 + 0*x**5 - 2*x**2 + 2*x**4 + 7*x**3 = 0. Calculate x.
-1, 0, 2/7, 1
Let t(l) be the second derivative of -l**4/48 + l**3/12 - l**2/8 + 9*l. Solve t(k) = 0.
1
Let y be (-43)/(-10) - (3 + 1). Let b(c) be the first derivative of -2/15*c**3 - 3 + y*c**4 + 0*c + 0*c**2. Factor b(f).
2*f**2*(3*f - 1)/5
Let i(s) be the second derivative of s**5/5 