a(j).
2*j*(j + 1)
Suppose -12 = 9*y - 48. Let s(f) be the first derivative of 3/10*f**5 - 1/12*f**6 - 1/3*f**3 + 3 + 3/4*f**2 - 1/2*f - 1/4*f**y. Let s(t) = 0. What is t?
-1, 1
Let o be (4/10)/((-2)/(-4)). Suppose -2/5*m**4 - 2/5 + o*m**2 + 0*m + 0*m**3 = 0. Calculate m.
-1, 1
Suppose -3*c + 16 = 4*t - 23, 0 = t - 3*c - 21. Suppose -t + 2*y**4 + 7 + 5 = 0. Calculate y.
0
Let i(v) = -24*v**5 + 4*v**4 - 32*v**3 + 12*v**2 + 36*v - 16. Let g(s) = -s**5 - s**4 + s**2. Let p(y) = -20*g(y) + i(y). Determine b, given that p(b) = 0.
-1, 1, 4
Let d(i) = i**2 - 2*i + 1. Let q(s) = s**2 - 3*s + 2. Let l(h) = -6*d(h) + 4*q(h). Factor l(r).
-2*(r - 1)*(r + 1)
Let b(u) be the third derivative of u**7/6 - 5*u**6/24 - 3*u**5/4 + 25*u**4/24 + 5*u**3/3 - u**2. Suppose b(n) = 0. What is n?
-1, -2/7, 1
Let a be 40/(-48) + 43/(-90)*-3. Factor 3/5 - a*m**3 + 3/5*m - 3/5*m**2.
-3*(m - 1)*(m + 1)**2/5
Factor -3/2 + 3/4*r**2 - 3/4*r.
3*(r - 2)*(r + 1)/4
Let a = -14 - -15. Let n be (-1)/(a/(-2)*1). Find x, given that 2/5*x + 1/5*x**n + 1/5 = 0.
-1
Let d(l) = -10*l**3 - 8*l**2 - 2*l. Let x(t) = -t**4 + t**3 + t. Let w(s) = d(s) + 2*x(s). Factor w(a).
-2*a**2*(a + 2)**2
Let j(z) be the second derivative of 1/14*z**7 + 0*z**5 + 0 - 1/2*z**4 + 0*z**2 + 8*z + 1/5*z**6 - 1/2*z**3. Let j(u) = 0. Calculate u.
-1, 0, 1
Let b(y) be the third derivative of y**5/150 - y**4/15 + 4*y**3/15 - 6*y**2. Let b(w) = 0. Calculate w.
2
Suppose o + o = -4*d + 22, -4*o - d = -23. Let p = 0 + 5. Factor s**o - s**5 - 2*s**3 + s**5 + s**p.
2*s**3*(s - 1)*(s + 1)
Let a(f) = -f**2 + 19*f - 18. Let p be a(18). Factor 1/5*d**2 + 0 + p*d**3 - 1/5*d**4 + 0*d.
-d**2*(d - 1)*(d + 1)/5
Let d(w) = -w**4 - w**3 + w**2 + w - 1. Let h(b) = -9*b**4 - 5*b**3 + 9*b**2 + 5*b - 7. Let a(o) = 14*d(o) - 2*h(o). Factor a(q).
4*q*(q - 1)**2*(q + 1)
Let s(v) be the first derivative of -5*v**3/6 + 5*v**2/2 + 15*v/2 - 10. Suppose s(z) = 0. Calculate z.
-1, 3
Suppose -2*a - 60 = 3*a. Let n = -8 - a. Factor -4/3*g**2 + 0*g + 5/3*g**n - 8/3*g**3 + 0.
g**2*(g - 2)*(5*g + 2)/3
Let f be ((-8)/(-14))/(1/6). Let l = f - 106/35. Factor 2/5*h + l*h**2 - 4/5.
2*(h - 1)*(h + 2)/5
Let g(v) be the third derivative of -v**6/540 + v**5/270 + v**4/54 - 9*v**2. Let g(j) = 0. Calculate j.
-1, 0, 2
Let y(f) be the first derivative of 4*f**3/3 + 7*f**2/2 + 3*f - 6. Let l(w) = -2*w**2 - 4*w - 2. Let u(k) = -11*l(k) - 6*y(k). Factor u(p).
-2*(p - 2)*(p + 1)
Let v(x) be the first derivative of -x**6/3 - 8*x**5/5 - 3*x**4 - 8*x**3/3 - x**2 - 3. Solve v(q) = 0.
-1, 0
Let o(q) = q**3 + 3*q**2 - 6*q - 5. Let p be o(-4). Solve -7*j**3 + 4*j**p + j + 2*j**3 = 0 for j.
-1, 0, 1
Let j(l) be the second derivative of -4*l - 1/12*l**4 + 1/20*l**5 + 0*l**3 + 0 - 1/42*l**7 + 1/30*l**6 + 0*l**2. Factor j(t).
-t**2*(t - 1)**2*(t + 1)
Let u be 3 + (4 + -3)*3. Let x = 6 - u. Factor -1/4*l**2 + x - 1/4*l.
-l*(l + 1)/4
Let u(b) be the second derivative of 0 + 1/30*b**5 + 0*b**3 + b + 0*b**4 + 0*b**2. Factor u(n).
2*n**3/3
Let d(g) = -g**2 - 6 - 8 + 15. Let u(w) = 4*w + 1. Let o(n) = 3*d(n) + u(n). What is s in o(s) = 0?
-2/3, 2
Let k(v) = v**4 + 2*v**3 - 5*v**2 + 4*v. Let x(a) = 5*a**4 + 7*a**3 - 20*a**2 + 17*a. Let y(t) = -18*k(t) + 4*x(t). Let y(m) = 0. Calculate m.
0, 1, 2
Let r(t) be the second derivative of 4*t + 0 - 1/54*t**4 + 0*t**2 + 1/27*t**3. Factor r(h).
-2*h*(h - 1)/9
Let m = -20/3 - -332/39. Solve 10/13*q**2 + 8/13 - m*q = 0.
2/5, 2
Let f(o) be the second derivative of o**7/49 - 2*o**6/105 - 2*o**5/35 + o**4/21 + o**3/21 + 3*o - 3. Find y such that f(y) = 0.
-1, -1/3, 0, 1
Suppose 3*d = 0, 0 = n - 3*d + 2*d - 3. Let 6*t**n + 0*t**4 - 4*t**5 - 4*t**3 - 2*t**4 = 0. Calculate t.
-1, 0, 1/2
Find n, given that -6*n**2 - 83 + 39*n + 6 - 3*n**3 + 47 = 0.
-5, 1, 2
Find y, given that -1/5*y**5 + 0*y + 0*y**2 + 0 - 1/5*y**3 + 2/5*y**4 = 0.
0, 1
Factor -8/5*j**3 + 2/5*j**2 + 0*j + 2*j**4 + 0 - 4/5*j**5.
-2*j**2*(j - 1)**2*(2*j - 1)/5
Let a be ((-74)/18 - -4)*6/(-4). Let n(t) be the first derivative of 2/3*t**3 - 1/5*t**5 - 1/2*t**2 + 1/2*t**4 + 1 - t - a*t**6. Suppose n(v) = 0. What is v?
-1, 1
Let a(z) be the second derivative of -z**8/3360 + z**7/560 - z**6/240 + z**5/240 + z**3/6 - 3*z. Let g(f) be the second derivative of a(f). Factor g(m).
-m*(m - 1)**3/2
Let v(d) be the third derivative of d**9/60480 - d**8/20160 - d**7/5040 + d**6/720 - d**5/15 - 3*d**2. Let a(u) be the third derivative of v(u). Factor a(i).
(i - 1)**2*(i + 1)
Factor 11*i**2 - 6*i**3 - 12 + 11*i**3 + 3*i**3 + 40*i - 47*i**2.
4*(i - 3)*(i - 1)*(2*i - 1)
Let t(a) be the second derivative of a**7/504 + a**6/90 - a**5/30 - a**4/6 + 3*a. Let l(m) be the third derivative of t(m). Determine r, given that l(r) = 0.
-2, 2/5
Let k(r) be the first derivative of -r**8/1512 + r**7/945 + r**6/1620 + 11*r**3/3 - 11. Let u(j) be the third derivative of k(j). Factor u(b).
-2*b**2*(b - 1)*(5*b + 1)/9
Let l be 1*(4/(-4) - -2). Let b(s) be the first derivative of 2/15*s**3 + 2/5*s - 2/5*s**2 - l. Factor b(z).
2*(z - 1)**2/5
Let y be (-6)/18 - (-38)/6. Factor -14*r**2 + 0*r**2 + 3*r**3 + 0*r**3 + 15*r - y + 2*r**2.
3*(r - 2)*(r - 1)**2
Let t(b) be the third derivative of b**9/52920 + b**8/23520 - b**7/4410 - b**4/24 + 2*b**2. Let k(q) be the second derivative of t(q). Factor k(d).
2*d**2*(d - 1)*(d + 2)/7
Let d be (1 - -1) + 1 - -2. Suppose 0 = -7*n + 4*n + 4*r + 25, -5 = d*n + 5*r. Factor 3 + 0*m - 4 - 4*m**2 - 2*m + n*m**2.
-(m + 1)**2
Suppose 0 = -h + 6*h, 0 = 3*r - h - 6. Factor 2/5*j**r - 2/5 + 0*j.
2*(j - 1)*(j + 1)/5
Let t = -35/2 - -263/15. Let k(p) be the second derivative of 1/15*p**4 - p + 0*p**2 + t*p**3 + 1/210*p**7 + 3/50*p**5 + 2/75*p**6 + 0. Factor k(x).
x*(x + 1)**4/5
Let n be 1/(-9) + (-43)/(-63). Determine q so that 2/7*q + 2/7*q**5 + 2/7*q**4 + 2/7 - n*q**2 - 4/7*q**3 = 0.
-1, 1
Let y(r) be the third derivative of -r**7/420 - r**6/60 + r**5/120 + r**4/12 - 27*r**2 + 2*r. Solve y(a) = 0 for a.
-4, -1, 0, 1
Let r(u) = -u - 3. Let f be r(0). Let l be 1/(f/6) + 4. Determine z, given that z - 2*z - 3*z**l - z = 0.
-2/3, 0
Let s = -4139/30 + 138. Let x(j) be the third derivative of -s*j**5 + 0 - 4/21*j**4 - 4/21*j**3 + 0*j + 2*j**2. Factor x(f).
-2*(f + 2)*(7*f + 2)/7
Suppose 4*k - 17 = -1. Let z be (-7)/(-2) - 2/k. Let w**3 + 0*w**z - 2*w**3 + w**2 - 3*w**2 = 0. What is w?
-2, 0
Let a(q) be the third derivative of -q**8/1680 - q**7/280 - q**6/180 + q**3/2 + 6*q**2. Let b(k) be the first derivative of a(k). Suppose b(j) = 0. Calculate j.
-2, -1, 0
Let v be 1 + 6 - 7 - (1 + -1). Suppose 0*r - 4*r = 5*u + 6, 4*u + 2*r = 0. Suppose 21*d + v*d**3 - 3*d**4 - u - 1 - 3 + 15*d**3 - 27*d**2 = 0. What is d?
1, 2
Suppose 4*c - 4*y - 26 + 2 = 0, 0 = 2*c - 4*y - 18. Factor -2/5*l**4 + 0*l - 2/5*l**c + 0*l**2 + 0.
-2*l**3*(l + 1)/5
Factor 100/19*y**3 + 14/19*y**5 + 4/19 + 80/19*y**2 + 60/19*y**4 + 30/19*y.
2*(y + 1)**4*(7*y + 2)/19
Let q = 30 + -27. Let f(j) be the second derivative of 1/70*j**5 - 1/21*j**3 + 0*j**2 + 0*j**4 - q*j + 0. Factor f(b).
2*b*(b - 1)*(b + 1)/7
Let -19*g**2 + 60 + 993*g**4 - 988*g**4 + 20*g - 26*g**2 = 0. What is g?
-3, -1, 2
Let x = 3298 + -6471/2. Solve -15/2*r + x*r**3 + 1 + 0*r**2 = 0.
-2/5, 1/5
Let o(f) be the third derivative of 1/20*f**5 - 1/40*f**6 + 0*f**3 + 0*f + 4*f**2 + 0 + 0*f**4. Suppose o(v) = 0. Calculate v.
0, 1
Let j(m) = 25*m**3 + 15*m**2 - 23*m - 13. Let n(b) = 75*b**3 + 45*b**2 - 68*b - 38. Let o(a) = 7*j(a) - 2*n(a). Solve o(w) = 0 for w.
-1, -3/5, 1
Factor 1/3*z**2 + 2/3*z + 0 - 1/3*z**3.
-z*(z - 2)*(z + 1)/3
Let k(t) be the second derivative of -1/7*t**2 - 1/105*t**6 - 1/147*t**7 + 1/35*t**5 + 1/21*t**4 - 2*t + 0 - 1/21*t**3. Let k(l) = 0. What is l?
-1, 1
Let c be (21/9)/(-3 + -10). Let p = c + 47/117. Determine m so that -p*m**3 - 4/9*m**2 - 2/9*m + 0 = 0.
-1, 0
Suppose 12/17*v**2 - 64/17 + 0*v + 2/17*v**3 = 0. Calculate v.
-4, 2
Let k(p) be the second derivative of -p**5/15 + 2*p**4/3 + 2*p**3/9 - 4*p**2 + 24*p. Factor k(x).
-4*(x - 6)*(x - 1)*(x + 1)/3
Let n(u) be the first derivative of 0*u - 16/15*u**5 + 9 - 20/9*u**3 + 8/3*u**4 + 2/3*u**2. Factor n(w).
-4*w*(w - 1)*(2*w - 1)**2/3
Let n be 570/207 - (-4)/(-46). Find j, given that n - 4/3*j**2 + 4/3*j = 0.
-1, 2
Let v = 27/59 + 9369/413. Solve -88/7*i + 16/7 - v*i**3 + 54/7*i**4 + 180/7*i**2 = 0 f