m.
-1, 0
Let h(m) be the second derivative of 2/15*m**3 + 0*m**2 + 0 - 1/30*m**4 + m. Factor h(j).
-2*j*(j - 2)/5
Let l be 4*(36/54 - 1/(-12)). Suppose -1/2*a**l - 1/2*a + 0 - a**2 = 0. Calculate a.
-1, 0
Let a = -1811/12 - -151. Let m(d) be the first derivative of -a*d**6 + 2 + 0*d - 1/10*d**5 + 0*d**2 + 1/6*d**3 + 1/8*d**4. Factor m(p).
-p**2*(p - 1)*(p + 1)**2/2
Let r(i) be the second derivative of 0*i**2 + 4*i - 1/42*i**4 + 0 - 1/21*i**3. Factor r(t).
-2*t*(t + 1)/7
Let m(i) = -26*i**2 - 14*i - 6. Let l(h) = h**2 + h + 1. Let n(a) = -6*l(a) - m(a). Determine k, given that n(k) = 0.
-2/5, 0
Let o = 16 - 12. Let g(y) be the second derivative of -4*y + 0 - 1/3*y**2 + 7/36*y**o + 5/18*y**3. Suppose g(t) = 0. What is t?
-1, 2/7
Suppose 13 = 4*t + 5. Factor -v - 3*v**2 + t*v**2 - v.
-v*(v + 2)
Let j = 15257/168 + -741/8. Let v = j - -22/7. Factor -v + 2*o**3 - 16/3*o**2 + 14/3*o.
2*(o - 1)**2*(3*o - 2)/3
Let h be ((-4)/9)/(580/(-30)). Let a = h + 253/348. Solve a*g**3 + 0 + 3/4*g - 3/2*g**2 = 0 for g.
0, 1
Suppose m = -2*m + 9. Suppose 3*j + 3 = -4*n, -j + 15 = -m*n - n. Factor -4*x**2 - 2*x**4 - 2*x**2 + 6*x**j + 2*x + 0*x.
-2*x*(x - 1)**3
Let u(d) = 12*d**3. Let j be u(1). Suppose 5*y = 6*v - 2*v + j, 3*v + 9 = -y. Factor 0*x - 2/3*x**2 + y.
-2*x**2/3
Factor -1/8*j + 0 - 1/8*j**2.
-j*(j + 1)/8
Suppose 0 = -2*z + 2 + 2. Determine s, given that 0*s**2 - s + s**2 - s**z + s**3 = 0.
-1, 0, 1
Let w = 9529/4 + -2360. Let h = -22 + w. Suppose 0 - h*g**2 - 1/4*g = 0. What is g?
-1, 0
Suppose -4 + 10*k**2 + 8*k**2 - 14*k**2 = 0. Calculate k.
-1, 1
Suppose f - i - 4 = -2*i, f = i + 2. Determine g, given that -2*g**4 - 16*g**f + 16*g**2 + 4*g**4 + 2*g**4 = 0.
0, 2
Let l be 8/(-168) - (-2)/6. Let a = 135 - 941/7. Factor -a*p - 2/7 - l*p**2.
-2*(p + 1)**2/7
Suppose -3*v + 5 = -2*z - 5, -z = 5. Suppose 4*c + c + 5*u - 10 = v, -5*c + 20 = -5*u. What is h in -2*h - 3 - 2*h**2 + 0*h**2 + c = 0?
-1, 0
Let s(i) be the second derivative of -1/48*i**4 + 0*i**3 - i + 1/2*i**2 + 1/48*i**5 + 0. Let y(l) be the first derivative of s(l). Factor y(r).
r*(5*r - 2)/4
Suppose -4*m = 5*j + 4, 2*j - 5*m = -2*j + 5. Solve j - 2/3*v**3 - 10/9*v**2 + 4/9*v = 0.
-2, 0, 1/3
Factor 14 - 12 + 2*d**2 + 6*d - 10*d**2.
-2*(d - 1)*(4*d + 1)
Solve -2*p**4 + 6*p**2 - 3*p - 2 - 4*p**3 - 3*p - 6 + 14*p = 0.
-2, 1
Let v be (-247)/(-728) + 6/16. Determine d, given that -d**2 - 3/7*d**3 - v*d - 1/7 = 0.
-1, -1/3
Suppose 5 = 3*s - 1. Let n be 5/s - (-4)/(-8). Factor -1 + 0 + 4*i - i - i - i**n.
-(i - 1)**2
Factor 289*y**2 + 47*y**2 - 24*y - 3*y**4 - 45*y**4 - 88*y**3 - 4*y**5 - 172*y.
-4*y*(y - 1)**2*(y + 7)**2
Let p(w) be the third derivative of -w**6/1440 + w**5/480 + w**4/48 + 2*w**3/3 - 5*w**2. Let n(m) be the first derivative of p(m). Factor n(o).
-(o - 2)*(o + 1)/4
Let i(v) be the third derivative of v**6/3420 - v**4/228 + 2*v**3/3 - 6*v**2. Let w(r) be the first derivative of i(r). Factor w(b).
2*(b - 1)*(b + 1)/19
Suppose l + 3*l = -3*d + 22, 0 = d + l - 6. Suppose -2 = -2*z + 2. Factor -4*w**5 - w**d - w**z + 2*w**3 + 2*w**4 + 2*w**5.
-2*w**2*(w - 1)**2*(w + 1)
Let k be (-21)/18*2/14*-2. Let z(x) be the first derivative of -2 + k*x**3 + x**2 + x. Solve z(l) = 0.
-1
Let o(i) be the first derivative of -i**5/5 + i**4/16 + 4*i**3/3 - i**2/2 + 46. Let o(g) = 0. What is g?
-2, 0, 1/4, 2
Let k = 96 - 94. Factor 1/3*y**3 + 0 - 2/3*y**k + 1/3*y.
y*(y - 1)**2/3
Let t(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v**5 + 1/90*v**6 + 0 - 1/504*v**8 + 1/315*v**7 + 0*v - 4*v**2. Factor t(g).
-2*g**3*(g - 2)*(g + 1)/3
Let n(l) be the second derivative of -1/30*l**6 + 1/6*l**3 - 1/30*l**5 + 1/18*l**4 - 1/126*l**7 + 1/6*l**2 + 0 + 2*l. Factor n(r).
-(r - 1)*(r + 1)**4/3
Let f(x) = -x**3 + 3*x**2 - 1. Let w be f(2). Suppose 24 = 3*t - w*l, 35 - 7 = t - 5*l. Factor -1/5*c**4 + 4/5*c - 6/5*c**2 - 1/5 + 4/5*c**t.
-(c - 1)**4/5
Suppose 3*r - 1 = q, 0 = -2*r + 4 - 2. Factor -2/3*b**3 + 0*b**q + 2/3*b**4 + 0 + 0*b.
2*b**3*(b - 1)/3
Let d = 188 + -1308/7. Factor 132/7*f**2 + d*f - 16/7 + 18*f**3.
2*(3*f + 2)**2*(7*f - 2)/7
Suppose 2/9*o**2 - 14/9*o + 4/3 = 0. What is o?
1, 6
Let i(r) be the first derivative of r**3 + 0*r + 3/2*r**2 + 2 - 3/5*r**5 - 3/4*r**4. Suppose i(d) = 0. Calculate d.
-1, 0, 1
Let x(s) be the third derivative of s**6/900 - 7*s**5/450 + 11*s**4/180 - s**3/9 - 28*s**2. Suppose x(a) = 0. What is a?
1, 5
Let h(v) be the first derivative of -v**6/120 + v**4/8 + v**3/3 + 3*v**2 - 4. Let a(i) be the second derivative of h(i). Factor a(l).
-(l - 2)*(l + 1)**2
Let l(m) be the second derivative of m**7/98 + m**6/35 - m**4/14 - m**3/14 + 39*m. Factor l(j).
3*j*(j - 1)*(j + 1)**3/7
Factor 0*g - g**2 - 1/4*g**4 + 0 + g**3.
-g**2*(g - 2)**2/4
Let c(y) = 3*y**4 + 6*y**3 + 4*y**2 - 2*y + 2. Let m(o) = 4*o**4 + 7*o**3 + 4*o**2 - 3*o + 3. Let g(w) = -6*c(w) + 4*m(w). Factor g(a).
-2*a**2*(a + 2)**2
Let k be 4 + (0 - (4 - 5)). Let p(g) = 2*g**3 + 3*g**2 - 5*g. Let d(i) = -2*i**3 - 2*i**2 + 4*i. Let b(z) = k*d(z) + 4*p(z). Find q, given that b(q) = 0.
0, 1
Let o(u) = -4*u**3 - 12*u**2 + 3*u. Let j = 15 - 9. Let n(p) = 2*p**3 + 6*p**2 - 2*p. Let i(w) = j*o(w) + 11*n(w). Let i(h) = 0. What is h?
-2, -1, 0
Suppose 1/5*n**3 + 0 - 1/5*n**2 + 0*n = 0. Calculate n.
0, 1
Let x(d) = 2*d**2 - 5*d - 5. Let q be x(5). Suppose -9*j + q = -4*j. Factor -1/2 - 6*p**2 - 3*p - 3/2*p**j - 5*p**3.
-(p + 1)**3*(3*p + 1)/2
Suppose 3*m + 47 - 5 = 0. Let s be (4/10)/(m/(-10)). Suppose -2/7*d**3 + 2/7*d**5 + 0*d + 2/7*d**4 + 0 - s*d**2 = 0. What is d?
-1, 0, 1
Let u = 1148/3 + -1144/3. Factor -1/3*q**4 + q**3 + 0*q**2 - u*q + 0.
-q*(q - 2)**2*(q + 1)/3
Let t(r) = 3*r**2 - 9*r - 6. Let c(g) = -g**2 + g + 1. Let d(q) = -6*c(q) - t(q). Let x(u) = u. Let j(s) = -d(s) - 6*x(s). Factor j(v).
-3*v*(v + 3)
Let q(x) be the third derivative of x**8/1008 - x**7/210 + x**6/180 + x**5/90 - x**4/24 + x**3/18 + 2*x**2. Factor q(n).
(n - 1)**4*(n + 1)/3
Let c(p) be the first derivative of -p**6/600 + 2*p**2 + 1. Let i(s) be the second derivative of c(s). Suppose i(l) = 0. What is l?
0
Let h(p) be the first derivative of -p**6/300 + p**4/60 - p**2/2 - 3. Let o(u) be the second derivative of h(u). Factor o(w).
-2*w*(w - 1)*(w + 1)/5
Let k(s) be the first derivative of s**3/3 - 7*s**2 + 49*s - 24. Determine i so that k(i) = 0.
7
Let w(b) = -2*b**4 + 4*b**3 - 6*b**2 - 2*b + 10. Let j(p) = -p**3 - 1. Let k(y) = -10*j(y) - w(y). Solve k(v) = 0.
-1, 0
Let a(i) be the second derivative of 0 + 1/36*i**4 - 3*i - 1/18*i**3 + 0*i**2. Find y, given that a(y) = 0.
0, 1
Let w be 174/27 - 6 - 4/9. Suppose 0*g**2 - 1/6*g**5 + 0*g**3 + 0*g - 1/6*g**4 + w = 0. What is g?
-1, 0
Let d(z) be the second derivative of -z**5/420 - z**4/84 - z**3/42 + 2*z**2 + z. Let n(k) be the first derivative of d(k). Find b, given that n(b) = 0.
-1
Let q be (5 + -1)/(-2) - (4 + -9). Suppose -2/3*j**q + 2/3*j**2 + 2/3*j**5 + 0*j + 0 - 2/3*j**4 = 0. What is j?
-1, 0, 1
Let l be 10/(-50) + 10/50. Suppose 2/3*j**2 - 2/3 + l*j = 0. What is j?
-1, 1
Let q(m) be the third derivative of 3*m**2 + 0*m**3 + 0*m**5 + 1/300*m**6 + 0*m + 0 - 1/60*m**4. Suppose q(f) = 0. Calculate f.
-1, 0, 1
Let m be (6/15)/((-1)/(-5)). Let o(c) be the first derivative of -1/12*c**4 + m - 4/3*c**2 - 5/9*c**3 - 4/3*c. Let o(i) = 0. What is i?
-2, -1
Let l(d) = d + 1. Let j(y) = y**3 - 10*y**2 + 8*y + 10. Let m be j(9). Let f(q) = -2*q**3 - 2*q**2 + 3*q + 3. Let h(b) = m*f(b) - l(b). Factor h(r).
-2*(r - 1)*(r + 1)**2
Suppose q - 6 = -q. Factor -5*z**5 + 3*z**3 + 2*z**3 - z**q + z**5.
-4*z**3*(z - 1)*(z + 1)
Let l(s) = -s**5 - s**4 - s**3 + 5*s**2 + 2*s. Let o(b) = -b**3 + b**2 + b. Let w(z) = -5*l(z) + 20*o(z). Solve w(j) = 0.
-2, -1, 0, 1
Let h(c) be the first derivative of -c**5/60 + c**4/12 - c**3/6 - 2*c**2 + 4. Let g(d) be the second derivative of h(d). Factor g(b).
-(b - 1)**2
Factor -2/3*y**2 + 20/3*y - 50/3.
-2*(y - 5)**2/3
Let r be (-3 - (-204)/9) + -1. What is y in 1/3 - 2*y - y**2 - 16*y**4 + r*y**3 = 0?
-1/3, 1/4, 1
Let m(v) be the first derivative of v**3/3 + v - 5. Let z(r) = 3*r**3 - 9*r**2 + 5*r - 3. Let o(a) = 6*m(a) + 3*z(a). Factor o(j).
3*(j - 1)**2*(3*j - 1)
Let q(b) = -3*b**4 + 18*b**2 - 32*b + 1. Let f(u) = u**4 - 6*u**2 + 11*u. Let a(x) = 8*f(x) + 3*q(x). Factor a(r).
-(r - 1)**3*(r + 