f*(f - 1)**3*(9*f + 2)
Let k(s) be the third derivative of 0 + 4*s**2 + 0*s**4 + 0*s + 0*s**5 - 1/30*s**6 + 2/105*s**7 + 0*s**3. Let k(w) = 0. What is w?
0, 1
Let j be 150/35 - 4/14. Factor 5*o**3 - j*o**3 + 2*o**4 - 2*o + 2 + 3*o**3 - 2*o**5 + 0*o**4 - 4*o**2.
-2*(o - 1)**3*(o + 1)**2
Let m(g) be the third derivative of -g**6/150 - 16*g**5/75 - 32*g**4/15 - g**2. Solve m(b) = 0 for b.
-8, 0
Let r(a) be the second derivative of -a**4/4 + a**3 - 4*a. Factor r(x).
-3*x*(x - 2)
Let p(r) be the second derivative of 3*r**5/8 - r**4/4 - r. Factor p(v).
3*v**2*(5*v - 2)/2
Solve -10/3*g**4 - 2/3 - 20/3*g**2 + 20/3*g**3 + 10/3*g + 2/3*g**5 = 0.
1
Let d(i) = -i**2 + 2*i + 3. Let r be d(4). Let k(x) = x + 7. Let z be k(r). Let 0*s + 0 + 2/5*s**3 - 2/5*s**z = 0. What is s?
0, 1
Let p = 49 - 28. Let w = 24 - p. Determine n so that 4/3*n + 2*n**4 + 0 - 2*n**2 - 4/3*n**w = 0.
-1, 0, 2/3, 1
Let t = 2830/4557 - 3/1519. Let y = -2/7 + t. Let -2/3*q**2 + y + 7/6*q = 0. What is q?
-1/4, 2
Suppose -3*g + 6*g = 54. Suppose -g*y**2 + y**2 - 6*y + 15*y**4 + 9*y**5 + 0*y**4 + 2*y**2 - 3*y**3 = 0. What is y?
-1, -2/3, 0, 1
Let l(k) be the second derivative of k**4/42 + 2*k**3/21 - 12*k. Determine r, given that l(r) = 0.
-2, 0
Let o = -243 - -1217/5. Let -2/5*r**2 + 2/5*r**4 - o*r**3 + 2/5*r + 0 = 0. Calculate r.
-1, 0, 1
Let i(v) be the second derivative of 3*v**5/80 + v**4/8 + 35*v - 2. Factor i(w).
3*w**2*(w + 2)/4
Let k(b) = 39*b**2 + 4*b - 3. Let l be k(4). Factor -22*q - 70*q**4 - 273*q**4 - 8 - 70*q - 378*q**2 - l*q**3.
-(q + 1)*(7*q + 2)**3
Let w(g) be the second derivative of -g**7/63 + g**5/15 - g**3/9 + 15*g. Factor w(i).
-2*i*(i - 1)**2*(i + 1)**2/3
Solve -4*d**3 - 3*d**3 + 2*d**3 - 5*d - 10*d**2 = 0.
-1, 0
Let l(o) = o**2 - 2*o + 2. Let n be l(-4). Suppose 3*c = 4*f + n, -c + 6*c - 30 = 4*f. Factor -3*i - 2 - c*i**2 + i - 2*i.
-2*(i + 1)**2
Let u(d) be the first derivative of -d**6/2 - 9*d**5/5 - 3*d**4/2 + 2*d**3 + 9*d**2/2 + 3*d + 1. Find l such that u(l) = 0.
-1, 1
Let w(g) = -6*g**3 - g**2 + 9*g. Let z(y) = y**3 + y**2. Let o(a) = 5*w(a) + 35*z(a). Find h, given that o(h) = 0.
-3, 0
Suppose -k = -3*z + 2*z + 3, -4*k = -5*z + 18. Let 6*u**2 + 9 - 5*u**2 - z*u + 0*u = 0. What is u?
3
Suppose -6*j + 54 = 12*j. Factor 7/4*x**j + 1/2*x**2 + 5/4*x**4 + 0 + 0*x.
x**2*(x + 1)*(5*x + 2)/4
Let p(h) = -h + 5. Let n be p(7). Let g be -3 + (2 + 1 - n). Solve 8*d - 5 - 2*d**g + 0 - 3 = 0 for d.
2
Solve 2*s + 3*s**4 - s**3 - s**5 + 0*s**5 - 3*s**2 + 0*s**4 = 0 for s.
-1, 0, 1, 2
Let c(w) = 6*w**3 + 6*w**2 + 10*w + 2. Let u(y) = 11*y**3 + 12*y**2 + 19*y + 4. Let i = 2 - -2. Let l(q) = i*u(q) - 7*c(q). Determine s, given that l(s) = 0.
-1
Let z(y) be the first derivative of -y**3/3 - y**2 - y - 19. Suppose z(c) = 0. Calculate c.
-1
Let c(w) be the first derivative of 2*w**5/35 - 2*w**3/21 - 6. Solve c(t) = 0.
-1, 0, 1
Let r(c) = 8*c**3 - 8*c**2 - 6*c - 6. Suppose 0*a + 3*a + 15 = 0. Let p(v) = -1 + 5*v - 7*v**3 + 3 + 3 + 7*v**2. Let i(y) = a*r(y) - 6*p(y). Factor i(o).
2*o**2*(o - 1)
Let t be 3/(9/2)*3. Let v be t/20*(5 - 1). Factor 0*z**2 - v*z + 0 + 2/5*z**3.
2*z*(z - 1)*(z + 1)/5
Let x(j) = -j**2 - 25*j + 3. Let a be x(0). Determine n, given that -1/2*n**2 + 1/4*n + 1/4*n**a + 0 = 0.
0, 1
Let c(u) be the first derivative of 1 + 0*u - 1/4*u**2 - 1/12*u**3 + 1/16*u**4. Let c(n) = 0. Calculate n.
-1, 0, 2
Suppose 0 = 5*x + 3*y - 3, 8 = -4*x + 153*y - 158*y. Factor -3 - 15/4*b**2 - 3/4*b**x - 6*b.
-3*(b + 1)*(b + 2)**2/4
Let q(r) = 7*r**3 + 6*r**2 - 11*r - 4. Let a(g) = -15*g**3 - 12*g**2 + 23*g + 9. Let l(w) = 6*a(w) + 15*q(w). Solve l(p) = 0.
-2, -1/5, 1
Let z(v) be the third derivative of -v**5/330 + v**4/44 - 9*v**2. Determine l so that z(l) = 0.
0, 3
Let m = -20 - -14. Let x be m/18 + (-13)/(-3). Factor 4*r**4 + 2*r**3 + 0*r**4 + r**5 - 7*r**x + 1 + 2*r**2 - 3*r.
(r - 1)**4*(r + 1)
Let k(r) be the first derivative of r**4/24 + r**3/2 + 2*r**2 + 8*r/3 - 11. Suppose k(o) = 0. Calculate o.
-4, -1
Let p = 157/330 + 4/165. Factor -2*b**3 - 3/4*b**4 + 0 - 3/4*b**2 + p*b.
-b*(b + 1)*(b + 2)*(3*b - 1)/4
Suppose 26 = -5*o - 14. Let p be (o/6)/((-6)/9). What is s in -5*s**4 + 4*s**4 - 2*s**2 + 3*s**p = 0?
-1, 0, 1
Let h(x) be the second derivative of -12*x**5/5 + 7*x**4/3 - 2*x**3/3 + 4*x. Factor h(j).
-4*j*(3*j - 1)*(4*j - 1)
Let l(n) = 2*n - 8. Let u be l(7). Factor -k**4 - 3*k**5 + 2*k + 7*k**4 - k + 2*k - u*k**2.
-3*k*(k - 1)**3*(k + 1)
Let d(r) be the second derivative of 2*r**6/5 + r**5 + r**4/3 - 2*r**3/3 - 4*r. Suppose d(i) = 0. What is i?
-1, 0, 1/3
Let q be 3 + (-12)/(-6 + 2). Let v(b) be the third derivative of 0 - 1/24*b**4 - 2*b**2 + 0*b**3 + 0*b**5 + 0*b + 1/120*b**q. Determine w so that v(w) = 0.
-1, 0, 1
Let 14/5*x**2 + 24/5*x - 22/5*x**4 - 6/5*x**5 - 18/5*x**3 + 8/5 = 0. What is x?
-2, -1, -2/3, 1
Factor 0*c + 0 - 1/5*c**2.
-c**2/5
Let g be (-6)/4 + 21/6. Let k be ((-1 - -1) + 0)/g. Factor 2*u**4 - 2*u**2 + k*u**5 - 2*u**5 - u + 3*u**5.
u*(u - 1)*(u + 1)**3
Let y(g) = g - 1. Let a(c) = 9*c**2 - 18*c + 9. Let w(j) = -4*a(j) - 28*y(j). Factor w(l).
-4*(l - 1)*(9*l - 2)
Let f = -5 + 9. Let u = -4 - -7. Factor -j**5 - 3*j**f + 5*j**4 - u*j**4.
-j**4*(j + 1)
Let s = -1695/88 - -216/11. Factor 9/8*b + 9/8*b**2 + s*b**3 + 3/8.
3*(b + 1)**3/8
Factor 25*g**2 + 5*g**3 + 18*g - 2*g + 6 + 9 + 19*g.
5*(g + 1)**2*(g + 3)
Let t(q) be the second derivative of -q**6/270 + q**5/90 - q**3/27 + q**2/18 + 9*q. Determine d so that t(d) = 0.
-1, 1
Let u(h) be the first derivative of 0*h + 2/27*h**3 + 0*h**2 + 1/6*h**4 + 3. Factor u(x).
2*x**2*(3*x + 1)/9
Let y = 18 + -17. Let n(i) = -i**2 - i. Let h(u) = -4*u**2 - 2*u**2 - 3*u + 4*u**2 - 1. Let q(r) = y*h(r) - n(r). Factor q(w).
-(w + 1)**2
Let -g**4 - 4*g + 3*g**4 - 13*g**3 - g**5 - 12*g**2 - 4*g**4 - 4*g**4 = 0. Calculate g.
-2, -1, 0
Let o(r) be the second derivative of -r**8/26880 - r**7/5040 - r**6/2880 - r**4/12 - 4*r. Let u(p) be the third derivative of o(p). Solve u(h) = 0.
-1, 0
Find l, given that -3*l - 6*l - 48*l**2 - 7*l - 36*l**3 - 8*l**4 = 0.
-2, -1/2, 0
Let q = 51 - 55. Let x(j) = j**2 - j. Let m(f) = -f + 3. Let i be m(2). Let b(a) = 2*a**2 - 4*a + 2. Let t(o) = i*b(o) + q*x(o). Solve t(w) = 0.
-1, 1
Let p be (-5)/(-25) - (-14)/5. Let s be (-6 + -3)/(6/(-4)). Solve -6*j**p - 2*j**4 - 2*j + 0*j**4 + 4*j**4 + s*j**2 = 0 for j.
0, 1
Let f(m) be the second derivative of -2*m - 1/50*m**5 - 1/10*m**2 + 1/15*m**3 + 0 + 1/150*m**6 + 0*m**4. Factor f(k).
(k - 1)**3*(k + 1)/5
Suppose 73*c = 66*c + 28. Let b = -87/5 - -18. Factor -4/5*n**3 + 2/5 + 0*n**c - 2/5*n**2 + b*n + 1/5*n**5.
(n - 2)*(n - 1)*(n + 1)**3/5
Solve 15/4*k**2 - 5/4*k + 0 = 0.
0, 1/3
Let q(t) be the second derivative of 3/20*t**5 + 1/2*t**3 - t - 3/8*t**4 - 3/8*t**2 - 1/40*t**6 + 0. Factor q(p).
-3*(p - 1)**4/4
Let o(h) be the second derivative of -h**6/1620 + h**5/135 - h**4/27 - h**3/6 - h. Let y(a) be the second derivative of o(a). Find n, given that y(n) = 0.
2
Let m(a) be the third derivative of a**5/390 + a**4/13 + 12*a**3/13 + 43*a**2. Find c such that m(c) = 0.
-6
Let x be 1 + (36/(-3))/(-3). Factor 3*m**2 + 0*m - 7*m - 2 + 0 - 6*m**2 + x*m**4 + 7*m**3.
(m - 1)*(m + 1)**2*(5*m + 2)
Factor f - 2*f - 2*f**2 + 3*f**2 + 2*f.
f*(f + 1)
Let w(d) be the third derivative of -d**9/1080 + d**8/210 - 11*d**7/1260 + d**6/180 + d**4/12 + 2*d**2. Let b(p) be the second derivative of w(p). Factor b(y).
-2*y*(y - 1)**2*(7*y - 2)
Let r(v) = -v**3 - 4*v**2 + 3*v + 6. Let m be r(-5). Find h such that 36*h - 4*h + m*h**4 - 5*h**3 + 8 + 50*h**2 + 43*h**3 + 2*h**5 - 2*h**4 = 0.
-2, -1
Let h(x) be the third derivative of x**5/12 - 5*x**4/24 + 4*x**2. Factor h(i).
5*i*(i - 1)
Let s(i) = i**3 - i**2 + i - 1. Let x = -9 + 10. Let y(z) = -z**3 + 13*z**2 + 5*z + 7. Let n(q) = x*y(q) + 4*s(q). Factor n(v).
3*(v + 1)**3
Let u = 129/265 + 6/53. Suppose -u*h**2 + 0 - 6/5*h**3 - 3/5*h**4 + 0*h = 0. Calculate h.
-1, 0
Suppose -4*c - 2 = -3*c - f, 0 = -c - f + 6. Factor -4*o**3 - 2*o**4 + 0*o**3 - 2*o**3 + 3 + 1 + 6*o - c*o**2.
-2*(o - 1)*(o + 1)**2*(o + 2)
Factor 2*a**2 + 2 - 7*a + 3*a + 8*a.
2*(a + 1)**2
Suppose -3*k + 4 = -2. Suppose -15 = -3*o - d, o + k*d - 6 = -o. Factor -2*t**4 - t**5 + t**4 - 4*t**2 - 3*t**4 - o*t**3 - t.
-t*(t + 1)**4
Let p(d) be the first derivative of -4