b**2. Factor p(k).
-2*k**3*(k - 1)/7
Let s(a) be the second derivative of -a**7/1960 + a**6/280 - 3*a**5/280 + a**4/56 - 2*a**3/3 + 2*a. Let y(o) be the second derivative of s(o). Factor y(r).
-3*(r - 1)**3/7
Let f = 36 + -32. Let v(x) be the third derivative of -1/70*x**7 - 1/60*x**6 - 2*x**2 + 0*x**3 + 0*x + 0*x**f + 0 + 0*x**5. Find n, given that v(n) = 0.
-2/3, 0
Let o(j) be the third derivative of j**6/60 - 2*j**5/15 + j**4/3 - j**2. Factor o(u).
2*u*(u - 2)**2
Suppose -2*p + 50 + 54 = 0. Let r be (-1)/(-4) - (-13)/p. Find l such that 1/2*l + 0*l**2 + 0 - r*l**3 = 0.
-1, 0, 1
Let n be ((-108)/(-8))/3 + -4. Find v such that 1/2 - n*v**2 + 0*v = 0.
-1, 1
Let z(x) = 2*x**2 - 9*x - 3. Let d(t) = t**2 - 4*t - 1. Let y(i) = 5*d(i) - 2*z(i). Find u, given that y(u) = 0.
1
Let t(g) be the second derivative of -g**6/90 + g**5/20 - g**4/18 + 11*g. Factor t(f).
-f**2*(f - 2)*(f - 1)/3
Factor -5*v**3 - 3*v**5 - 2*v**4 - 15*v + 30*v**2 + 3 + 17*v**4 - 25*v**3.
-3*(v - 1)**5
Let f(u) be the second derivative of u**5/12 - 2*u**4/9 + u**3/18 + u**2/3 - u. Factor f(q).
(q - 1)**2*(5*q + 2)/3
Let y be (-5 + -1)*(-20)/8. Let l = y + -13. Suppose 2/3*o**l + 0*o + 0 + 5/3*o**3 = 0. Calculate o.
-2/5, 0
Let w(y) be the first derivative of y**7/2940 - y**6/1260 + 2*y**3/3 - 5. Let v(z) be the third derivative of w(z). Let v(d) = 0. Calculate d.
0, 1
Let b(u) = 6*u**2 - 15*u - 5. Let a(r) = 3*r**2 - 7*r - 2. Let g be 7 + -2 - (1 - 2). Let d(w) = g*b(w) - 14*a(w). Find k such that d(k) = 0.
1/3, 1
Factor -6*l**2 - l**5 - 2*l**3 + 4*l**4 - 3*l**5 + 2*l**2 + 6*l**3.
-4*l**2*(l - 1)**2*(l + 1)
Find w, given that 0*w - 1/3*w**2 + 4/3 = 0.
-2, 2
Let v(b) be the second derivative of -b**6/40 - 3*b**5/80 + b**4/16 + b**3/8 + 6*b. Solve v(r) = 0 for r.
-1, 0, 1
Let b be (-15)/(-12)*(-2)/(-25). Let h(v) be the first derivative of 0*v**3 + 4/25*v**5 - 1 - b*v**4 + 0*v**2 - 1/15*v**6 + 0*v. Suppose h(t) = 0. What is t?
0, 1
Let n(h) be the third derivative of -h**5/90 - h**4/18 + h**3/3 - 12*h**2. Factor n(k).
-2*(k - 1)*(k + 3)/3
Let u(s) be the second derivative of -s**4/4 - 7*s**3/10 - 3*s**2/5 - 5*s. Factor u(h).
-3*(h + 1)*(5*h + 2)/5
Let f(c) be the third derivative of -c**5/40 + 5*c**4/16 - 3*c**3/2 - 10*c**2. Factor f(p).
-3*(p - 3)*(p - 2)/2
Let g(y) = -y**3 + y**2 - y. Let a be g(0). Suppose 0*z + 6 = 3*z. Factor s**z - 1/2*s**4 - 1/2 + 0*s**3 + a*s.
-(s - 1)**2*(s + 1)**2/2
Let v = 167/110 - 1/55. Let k(s) be the third derivative of 0*s + 1/70*s**7 - v*s**4 + 0 - 3*s**2 - 3/20*s**6 + 2*s**3 + 13/20*s**5. Let k(o) = 0. What is o?
1, 2
Suppose 29 = 5*x + 14. Let p(f) be the first derivative of -1 + 0*f - 1/5*f**2 + 4/5*f**4 - 4/15*f**x. What is i in p(i) = 0?
-1/4, 0, 1/2
Factor 2/17*z**3 + 2/17*z**4 + 0*z**2 + 0*z + 0.
2*z**3*(z + 1)/17
Let n(i) be the first derivative of i**6/27 - 8*i**5/45 + 2*i**4/9 + 4*i**3/27 - 5*i**2/9 + 4*i/9 + 7. Let n(h) = 0. What is h?
-1, 1, 2
Factor 3/4*g**2 - 1/4*g - 3/4 + 1/4*g**3.
(g - 1)*(g + 1)*(g + 3)/4
Let r be (-3)/((-24)/(-32)) - (-6 - -2). Determine a, given that 0 + 1/6*a + r*a**2 - 1/6*a**3 = 0.
-1, 0, 1
Let h = 9 + -6. Solve q**2 + 0*q**4 - q**3 - q**4 + 0*q**h + 4*q**5 - 3*q**5 = 0.
-1, 0, 1
Let u(h) be the first derivative of h**5/300 + h**4/60 - h**3/10 + h**2 - 6. Let x(p) be the second derivative of u(p). Solve x(z) = 0.
-3, 1
Suppose 1/2*g + 0 + 1/2*g**4 - 1/2*g**3 - 1/2*g**2 = 0. What is g?
-1, 0, 1
Let j(a) be the second derivative of a**5/80 + a**4/48 - a**3/24 - a**2/8 - 13*a. Factor j(z).
(z - 1)*(z + 1)**2/4
Let v = -3176/3 + 19009/18. Let b = v - -28/9. Suppose b*w**2 - w + 1/2 = 0. What is w?
1
Let q = -21 + 27. Let z(r) be the third derivative of -3*r**2 - 1/840*r**7 + 1/240*r**q - 1/240*r**5 + 0*r**3 + 0 + 0*r**4 + 0*r. Factor z(d).
-d**2*(d - 1)**2/4
Let h be 0/(5/((-15)/6)). Find q, given that h*q + 4/3 - q**2 + 1/3*q**3 = 0.
-1, 2
Factor 1/3*o**2 + 0 + 2/3*o.
o*(o + 2)/3
Let z(y) be the first derivative of -y**6/3 + y**4/2 + 42. Determine m, given that z(m) = 0.
-1, 0, 1
Let r(a) be the second derivative of -a**7/630 + a**6/360 + a**5/180 - a**4/72 + 3*a**2/2 - 3*a. Let l(p) be the first derivative of r(p). Factor l(i).
-i*(i - 1)**2*(i + 1)/3
Let f = -40142/41755 - 12/1193. Let d = -2/5 - f. Factor -2*q**4 + d*q**3 + 0 + 8/7*q**5 + 0*q + 2/7*q**2.
2*q**2*(q - 1)**2*(4*q + 1)/7
Let t(x) be the second derivative of -x**4/3 - 10*x**3/3 - 12*x**2 + 4*x. Determine p so that t(p) = 0.
-3, -2
Let l(y) be the first derivative of y**8/840 + 3*y**3 - 6. Let i(t) be the third derivative of l(t). Factor i(u).
2*u**4
Let a(g) be the second derivative of 0 + 0*g**3 - 2*g + 1/3*g**2 - 1/18*g**4. Let a(q) = 0. Calculate q.
-1, 1
Let h(n) be the first derivative of -1 - 3/40*n**5 + 1/6*n**3 - 1/2*n**2 + 1/16*n**4 + 0*n. Let l(d) be the second derivative of h(d). Let l(k) = 0. What is k?
-1/3, 2/3
Let a(c) = -c**4 + 5*c**2 + 4. Let v be 9/15 + 2/5. Let m(q) = q**2 + 1. Let p(x) = v*a(x) - 4*m(x). Factor p(d).
-d**2*(d - 1)*(d + 1)
Let l(o) be the third derivative of -o**6/480 - o**5/240 - 15*o**2. Factor l(n).
-n**2*(n + 1)/4
Let g(l) be the first derivative of 3*l**4/28 + 2*l**3/7 - 8. Factor g(o).
3*o**2*(o + 2)/7
Let g be 5/1 + -5 + (-10)/(-15). Solve -4/3*f**3 - g*f**5 + 2*f**4 - 4/3*f**2 - 2/3 + 2*f = 0 for f.
-1, 1
Let l(c) be the second derivative of -c**6/2 - 81*c**5/20 - 15*c**4/2 - 4*c**3 - 18*c. Let l(i) = 0. What is i?
-4, -1, -2/5, 0
Suppose -4*k - 14 - 10 = 0. Let z be (-2)/k + (-4)/12. Find g such that 1/3*g**2 + g**5 + 0*g + 1/3*g**3 + z - 5/3*g**4 = 0.
-1/3, 0, 1
Let r(j) be the first derivative of -5*j**4/16 - 55*j**3/12 - 175*j**2/8 - 125*j/4 + 20. Determine l, given that r(l) = 0.
-5, -1
Let 0 + 4/3*k - 8/3*k**2 + 5/3*k**3 - 1/3*k**4 = 0. What is k?
0, 1, 2
Let i(w) = -w**5 - 30*w**4 + 29*w**2 + 11*w. Let f(c) = 6*c**4 - 6*c**2 - 2*c. Let s(m) = -11*f(m) - 2*i(m). Factor s(d).
2*d**2*(d - 2)**2*(d + 1)
Let g(u) be the first derivative of 2/3*u**3 - 2*u - 3 + 0*u**2. Factor g(d).
2*(d - 1)*(d + 1)
Let 17*f - 25*f**2 + 11*f**3 + 18*f + 0*f**3 - 6*f**3 - 15 = 0. Calculate f.
1, 3
Let j(v) be the third derivative of -1/20*v**6 - 1/15*v**5 - 1/24*v**4 - 1/336*v**8 + 0*v**3 + 0*v - v**2 - 2/105*v**7 + 0. Factor j(g).
-g*(g + 1)**4
Suppose 6 = 3*u - 0. Let x be 0/1*u/4. Factor -2*j + 2*j**5 - 4*j**4 + 0*j**5 + x*j**2 + 4*j**2.
2*j*(j - 1)**3*(j + 1)
Let j(s) be the first derivative of -2*s**3 - s**2/2 + 15. Factor j(l).
-l*(6*l + 1)
Let h be ((-20)/25)/((-4)/10). Let q(j) be the second derivative of 0 + 0*j**h - 2*j + 1/30*j**4 - 2/75*j**6 + 0*j**3 + 1/50*j**5. Factor q(g).
-2*g**2*(g - 1)*(2*g + 1)/5
Let w(j) = -j - 3. Let s be w(-7). Suppose -3*b = -p - p + 15, s*b = -4*p. Factor -12/5*o**2 - 2/5*o**p - 24/5*o - 16/5.
-2*(o + 2)**3/5
Factor 0 - p**5 - 5/2*p**4 - 1/2*p**2 + 0*p - 2*p**3.
-p**2*(p + 1)**2*(2*p + 1)/2
Let u be 50 + 2 + (-3 - 1). Let z be (-20)/u - (-2)/3. Solve 1/4*g**2 - 1/4 - z*g**3 + 1/4*g = 0.
-1, 1
Let k be 10/(-15) + 1 + (-1)/12. Determine q, given that 0 + k*q**2 - 1/4*q = 0.
0, 1
Let w(p) be the first derivative of -2*p**2 - p**5 + 7/6*p**6 - 4*p + 29/3*p**3 - 1 - 23/4*p**4. Find t such that w(t) = 0.
-2, -2/7, 1
Let q = 7/41 - -20/123. Suppose -1/3*k**3 - q*k**4 + 0*k**2 + 0 + 0*k = 0. Calculate k.
-1, 0
Suppose 22 = 5*k + 4*o, 3*k = o - 0*o + 3. Factor -5*v + 0 + 8*v + 0 + v**2 + k.
(v + 1)*(v + 2)
Let s(u) be the third derivative of u**5/100 - u**4/40 - u**3/5 - 14*u**2. Suppose s(h) = 0. Calculate h.
-1, 2
Factor -7*k**2 + 4*k + 0*k**3 - 14*k**3 - 3*k**2.
-2*k*(k + 1)*(7*k - 2)
Let p(r) be the third derivative of 0*r**3 + 0*r**6 + 0 + 0*r + 1/30*r**5 + 0*r**4 - 1/105*r**7 - r**2. Solve p(m) = 0 for m.
-1, 0, 1
Suppose -2*h + 9 = s, -8*s + 3*s = -h - 12. Let g(v) be the third derivative of -1/3*v**3 + 0*v - 1/15*v**5 + s*v**2 - 1/4*v**4 + 0. Factor g(u).
-2*(u + 1)*(2*u + 1)
Let i(u) be the first derivative of 1/8*u**4 - 2 + 1/6*u**3 + 0*u + 1/120*u**6 + 1/20*u**5 + 3/2*u**2. Let n(t) be the second derivative of i(t). Factor n(v).
(v + 1)**3
Let j(n) = -5*n**5 - 6*n**4 + 11*n**3 + 11*n**2 - 13*n + 2. Let o(i) = -3*i**5 - 3*i**4 + 6*i**3 + 6*i**2 - 7*i + 1. Let g(v) = -4*j(v) + 7*o(v). Factor g(r).
-(r - 1)**4*(r + 1)
Let d be (-4)/10 + (-224)/(-560). Suppose d - y + 1/2*y**2 =