 6/7*l.
-2*(l + 1)**3/7
Let u(c) = 3*c**2 - 8*c + 8. Let f(q) = -q**2 + 3*q - 3. Let h(j) = -8*f(j) - 3*u(j). Solve h(p) = 0 for p.
0
Let v(d) = -3*d - 33. Let j be v(-11). Suppose -2*i + 0*i + 38 = 4*b, i - 46 = -5*b. Factor 27/2*o**4 - 6*o**5 + 0 - b*o**3 + 3/2*o**2 + j*o.
-3*o**2*(o - 1)**2*(4*o - 1)/2
Let x(v) = 5*v**2 + 233*v + 1200. Let f(l) = -2*l**2 - 78*l - 400. Let n(b) = 7*f(b) + 2*x(b). Factor n(t).
-4*(t + 10)**2
Let c be 9/(-28) + 45/(-7) + 7. Determine b so that c - 1/4*b**2 + 1/4*b - 1/4*b**3 = 0.
-1, 1
Let x = 9 + -7. Suppose x*r = -r. Suppose 0 + 0*m + 2/5*m**4 + r*m**3 - 2/5*m**2 = 0. Calculate m.
-1, 0, 1
Let k(f) = f**3 - 6*f**2 + 6*f - 5. Let s be k(5). Suppose 0*y - 2*y = s. Factor y*n - 2/3*n**2 + 2/3.
-2*(n - 1)*(n + 1)/3
Let i(u) be the third derivative of 1/240*u**6 - 1/48*u**4 - 1/120*u**5 + 0*u + 0 + 3*u**2 + 1/12*u**3. Factor i(m).
(m - 1)**2*(m + 1)/2
Let d(s) be the second derivative of -s**8/504 + s**6/90 - s**4/36 + 5*s**2/2 + 4*s. Let m(g) be the first derivative of d(g). Factor m(v).
-2*v*(v - 1)**2*(v + 1)**2/3
Let s = 2971/5 - 593. Find y, given that 3/5*y**5 + 0*y**2 + s*y**3 - 1/5*y + 8/5*y**4 + 0 = 0.
-1, 0, 1/3
Let w(l) = -5*l**4 + 90*l**3 + 85*l**2 - 330*l - 500. Let q(z) = -2*z**3 - z**2 + z. Let o(b) = 30*q(b) + w(b). Factor o(i).
-5*(i - 5)**2*(i + 2)**2
Let z = -4 + 6. Factor -1/4*u**z - 1/4*u**5 + 0 + 1/4*u**4 + 0*u + 1/4*u**3.
-u**2*(u - 1)**2*(u + 1)/4
Let j(v) be the first derivative of 3/2*v**4 - 3/5*v**5 + 10 - 3/2*v**2 - 3*v - 1/2*v**6 + 2*v**3. Suppose j(h) = 0. What is h?
-1, 1
Factor 0 + 1/2*q**3 - 1/2*q**4 + 1/2*q**2 - 1/2*q.
-q*(q - 1)**2*(q + 1)/2
Suppose -5 = -5*j - 4*v, 0*j + 4*j + 3*v - 5 = 0. Let g be (-8)/(-2)*j/3. Factor 2*l**5 + 0 - g*l**4 + 8/9*l + 74/9*l**3 - 40/9*l**2.
2*l*(l - 1)**2*(3*l - 2)**2/9
Let f(j) be the second derivative of j**7/3360 - j**6/720 + j**5/480 + j**3/3 - 2*j. Let d(l) be the second derivative of f(l). Suppose d(m) = 0. What is m?
0, 1
Let h = 7 - 7. Determine s so that 8 - 5 - 3*s**2 + h*s + 0*s = 0.
-1, 1
Let l = -20 + 19. Let h = l - -5/2. Factor 1/2*q**2 + h*q + 1.
(q + 1)*(q + 2)/2
Let y(i) be the second derivative of -3*i**5/80 - i**4/16 + i**3/8 + 3*i**2/8 - 2*i. Solve y(h) = 0.
-1, 1
Let u(i) = 4*i**5 + 13*i**4 + 9*i**3 - 5*i**2 - 5*i + 5. Let d(g) = g**4 + g**3 - g**2 - g + 1. Let o(q) = 5*d(q) - u(q). Factor o(k).
-4*k**3*(k + 1)**2
Suppose 0 = 321*l - 304*l. Factor 1/3*c**3 + l + 0*c**2 - 4/3*c.
c*(c - 2)*(c + 2)/3
Let v = -4 - -6. Factor 4*j**3 + 2*j**v + 3*j**4 - 2*j**2 - j**4.
2*j**3*(j + 2)
Let m(t) be the first derivative of t**6/240 - t**5/120 - 5*t**4/48 - t**3/4 + t**2/2 - 2. Let z(y) be the second derivative of m(y). Factor z(j).
(j - 3)*(j + 1)**2/2
Let k(y) be the third derivative of y**6/180 + y**5/10 + 3*y**4/4 - y**3/6 - 2*y**2. Let d(p) be the first derivative of k(p). Factor d(v).
2*(v + 3)**2
Suppose -4*q + 2*q + 10 = 0. Suppose -3*h - 5*i = -2, -2*h + 4 = -i + 3*i. Find v, given that 0 + 2/3*v**q + 0*v**2 + 0*v**h - 4/3*v**3 + 2/3*v = 0.
-1, 0, 1
Let x(c) be the first derivative of -c**4/12 + c**3/6 + c**2 + 9*c - 2. Let i(v) be the first derivative of x(v). Factor i(a).
-(a - 2)*(a + 1)
Let m = -77 + 80. Let x(j) be the third derivative of 1/180*j**5 + 0*j - 5*j**2 - 1/24*j**4 + 1/9*j**m + 0. Factor x(y).
(y - 2)*(y - 1)/3
Let w be (-2 - 2)*1/35. Let z = 51/140 + w. Factor 1/4*j**2 - 1/4 + 1/4*j**3 - z*j.
(j - 1)*(j + 1)**2/4
Let z(o) = -o**2 + 17*o + 18. Let r(n) = 6*n + 6. Let q(w) = 7*r(w) - 2*z(w). Factor q(k).
2*(k + 1)*(k + 3)
Suppose -f + i + 3 = 0, 2*i - 15 = -5*f + 5*i. Determine p, given that 3*p - p**2 + 8*p**2 + 3*p**f - p**2 = 0.
-1, 0
Let f be (-16)/40 + 4/10. Suppose f = -6*x + 2*x. Factor 2/3*r**2 + x + 2/3*r.
2*r*(r + 1)/3
Suppose -8*b = 2*b - 3*b. Find c, given that b*c - 1/2*c**3 + 0 + 0*c**2 + 1/2*c**4 = 0.
0, 1
Suppose 2*j - 8*r + 4*r = 8, 0 = 3*r + 3. Let l = -11/3 + 4. Let -l*w**3 + 4/3*w**j - 4/3*w + 0 = 0. What is w?
0, 2
Let d(s) be the first derivative of s**5/60 - s**4/12 + s**3/9 - s - 6. Let f(v) be the first derivative of d(v). Find z, given that f(z) = 0.
0, 1, 2
Let o(h) be the third derivative of -h**6/200 + h**5/100 + h**4/10 - 2*h**3/5 + 2*h**2. Find c, given that o(c) = 0.
-2, 1, 2
Let j(y) be the first derivative of -y**3/3 + 5*y**2/2 - 4*y - 3. Factor j(f).
-(f - 4)*(f - 1)
Let n = 151/4 + -137/4. Suppose -5/4*x - n*x**2 + 3*x**4 + 1/2 + 5/4*x**3 = 0. What is x?
-1, -2/3, 1/4, 1
Let n be (-7)/(-35) + 18/10. Let n*z**3 - 5*z + 4*z - z = 0. What is z?
-1, 0, 1
Suppose -2/3*d**4 + 2/3*d**2 + 1/3*d**3 + 0*d + 0 - 1/3*d**5 = 0. Calculate d.
-2, -1, 0, 1
Suppose 0 = 6*n - n - 30. Let j be (-3)/6*(-3)/n. Determine z, given that 0 - j*z**3 + 0*z**2 + 1/4*z = 0.
-1, 0, 1
Factor 0 + 3/7*f**2 + 0*f.
3*f**2/7
Suppose 0*j - 36 = -4*j. Let 2*h**5 + j*h**3 + 7*h**4 - 16*h**4 + h**5 - 3*h**2 = 0. Calculate h.
0, 1
Let u be (2 + -1)*-2 + (8 - 4). Find m such that -2/5 + 0*m + 2/5*m**u = 0.
-1, 1
Let t(s) = 3*s**2 - 3. Let x(p) = 39*p**2 - 39. Let f(i) = 27*t(i) - 2*x(i). Factor f(r).
3*(r - 1)*(r + 1)
Suppose 20 = -5*b + 110. Suppose -9 = 2*h - 5*o - 0, -2*o = 4*h - b. Solve -3*j**2 - 2*j**h - j + 3*j + 3*j**2 = 0 for j.
-1, 0, 1
Let k(d) be the second derivative of -8*d**7/35 - 6*d**6/5 - 27*d**5/10 - 27*d**4/8 - d**3/3 - d. Let u(b) be the second derivative of k(b). Factor u(c).
-3*(4*c + 3)**3
Let z(p) be the second derivative of p**4/30 - 2*p**3/15 - 3*p**2/5 - 9*p. Factor z(r).
2*(r - 3)*(r + 1)/5
Let u(z) = -z**5 - z**4 - z**2 + z. Let j(k) = -10*k**5 - 10*k**4 + 25*k**3 - 35*k + 20. Let a(g) = -j(g) + 5*u(g). Solve a(h) = 0 for h.
-2, 1
Let v be (-6)/(-11)*(143/(-39))/(-11). Determine r, given that -2/11*r + v*r**2 + 0 = 0.
0, 1
Let i(p) = -p**3 + 8*p**2 + p - 4. Let b be i(8). Let n be (-7)/(-2) - b/8. Solve 3 + 12*x - 3*x - 5*x**2 + 14*x**2 + 3*x**n + 0 = 0 for x.
-1
Let r(w) = -10*w**4 - 73*w**3 - 101*w**2 - 7*w - 17. Let m(k) = -3*k**4 - 24*k**3 - 34*k**2 - 2*k - 6. Let p(b) = -17*m(b) + 6*r(b). Solve p(v) = 0 for v.
-2, -2/3, 0
Let r(t) be the second derivative of 0*t**2 + 0 + 5*t + 1/3*t**3 - 1/10*t**5 + 0*t**4. Solve r(b) = 0 for b.
-1, 0, 1
Let f(p) be the first derivative of p**6/180 + p**5/90 - p**4/36 - p**3/9 - p**2 - 4. Let q(s) be the second derivative of f(s). Solve q(h) = 0 for h.
-1, 1
Let l(h) = 32*h**2 - 63*h + 16. Let x(q) be the third derivative of 2*q**5/15 - 2*q**4/3 + 2*q**3/3 - 4*q**2. Let w(z) = 2*l(z) - 9*x(z). Factor w(t).
-2*(t - 2)*(4*t - 1)
Let a be 55 + (-3)/((-12)/8). Let u be (-2)/12 + a/18. Factor 4/7*o**2 + 2/7*o**u - 4/7 - 2/7*o.
2*(o - 1)*(o + 1)*(o + 2)/7
Let o(t) be the second derivative of -11*t**6/36 + t**5/5 + t**4/3 - 5*t**3/6 + 5*t. Let c(q) be the second derivative of o(q). Find l such that c(l) = 0.
-2/11, 2/5
Let y be 5*(-2)/6 + (-4)/(-2). Suppose -y*w**2 + 1/3*w + 0 = 0. What is w?
0, 1
Factor -3*u - 4 + 129*u**2 - 128*u**2 + u + 1.
(u - 3)*(u + 1)
Let u(p) be the second derivative of -3*p + 0 + 1/24*p**3 + 0*p**2 - 1/48*p**4. Factor u(o).
-o*(o - 1)/4
Let s(k) be the first derivative of 1/6*k**3 - 4 + 0*k**2 + 0*k + 1/8*k**4. Let s(a) = 0. What is a?
-1, 0
Let g(x) be the second derivative of x**5/130 + x**4/39 + 25*x. Determine k, given that g(k) = 0.
-2, 0
Let y(l) = l**3 + 1. Let z(t) = t**3 + 3*t**2 - 4*t + 1. Let f be z(-4). Let w(d) = d**3 + d + 2. Let o(c) = f*w(c) - 2*y(c). Factor o(r).
-r*(r - 1)*(r + 1)
Suppose 2*u = u + 3. Let u*z**3 + z - 2*z**2 - 5*z + 3*z**3 + 2*z**4 - 18*z**5 + 16*z**5 = 0. Calculate z.
-1, 0, 1, 2
Suppose 2*z = -z. Let m be (-2)/(-12)*4 - z. Factor 0 - 2/9*s - 2/9*s**4 - m*s**3 - 2/3*s**2.
-2*s*(s + 1)**3/9
Let b(j) be the second derivative of j**7/210 - 5*j**3/3 + j. Let a(t) be the second derivative of b(t). Factor a(z).
4*z**3
Let p = -21 - -21. Let t(u) be the third derivative of 1/150*u**5 + 0 + 2/75*u**6 + 1/105*u**7 + 0*u + p*u**3 - 1/30*u**4 - u**2. Factor t(q).
2*q*(q + 1)**2*(5*q - 2)/5
What is y in 78/5*y + 21/5*y**2 - 24/5 = 0?
-4, 2/7
Let l(j) = j**3 + 9*j**2 - 13*j - 6. Let m be l(-10). Let u be 2 - m/(-15)*-1. Factor u*n**3 + 2/5*n**2 - 2/5 - 2/5*n.
2*(n - 1)*(n + 1)**2/5
Let k be (4/3)/(3/6). Let t be ((-10)/30)/((-2)/8). Factor -t + k*q + 1/3*q**3 - 5/3*q**2.
(q - 2)**2*(q - 1)/3
Let r be 130