z + 0*b**4 - 1/5*b**3.
b**3*(b - 1)*(b + 1)/5
Let x(q) be the second derivative of q**7/11340 + q**6/1620 + q**5/540 + q**4/6 + 2*q. Let s(r) be the third derivative of x(r). Let s(o) = 0. Calculate o.
-1
Suppose 0 = 5*q - 3*q. Suppose -2*d + 2 + 0 = q. Suppose -2*o**4 + 10*o**2 + d + 6*o**3 - 6*o - 3 - 6*o**4 = 0. What is o?
-1, -1/4, 1
Let s = 1 - -3. Let n(d) be the third derivative of 0 - 2*d**2 + 0*d**6 - 1/108*d**s - 1/135*d**5 + 0*d**3 + 2/945*d**7 + 1/1512*d**8 + 0*d. Factor n(k).
2*k*(k - 1)*(k + 1)**3/9
Suppose -2/5*d**2 + 1/5*d**3 + 2/5 - 1/5*d = 0. Calculate d.
-1, 1, 2
Let y(z) be the third derivative of -2*z**7/105 + z**6/15 + z**5/15 - z**4/3 - 27*z**2. Suppose y(w) = 0. What is w?
-1, 0, 1, 2
Let i(r) be the first derivative of r**4/4 - 4*r**3/3 - 5*r**2/2 + 2*r - 2. Let n be i(5). Factor -a**n + 0 - 2 - 2*a + 1.
-(a + 1)**2
Let y(i) = -i**3 + 3*i**2 - 3*i + 2. Let v be y(2). Suppose -w**2 - w + 5*w + v*w**2 + 3*w**2 = 0. Calculate w.
-2, 0
Let i(l) be the second derivative of -l**6/45 + l**5/6 - l**4/6 - l**3 - 2*l. Suppose i(v) = 0. What is v?
-1, 0, 3
Let p(j) be the first derivative of 1/18*j**4 + 1/9*j**3 + 0*j**2 - 2*j - 1. Let l(t) be the first derivative of p(t). Factor l(i).
2*i*(i + 1)/3
Suppose 5*q - 24 + 3 = 2*h, 3*h = -3*q + 21. Let y(o) be the second derivative of 0*o**3 + 0*o**2 - 1/36*o**4 + 0 + 1/15*o**q - 2*o. Find v such that y(v) = 0.
0, 1/4
Let l(h) = 8*h**3 - 4*h**2 + 3. Let r(m) = 7*m**3 - 3*m**2 + 2. Let x(y) = 6*l(y) - 7*r(y). Factor x(q).
-(q - 1)*(q + 2)**2
Let d(k) be the second derivative of -k**4/60 - k**3/10 - k**2/5 + 29*k. Factor d(t).
-(t + 1)*(t + 2)/5
Let d be -4 + ((-170)/(-21) - 4). Let p(z) be the first derivative of -3 - 1/14*z**4 + d*z**3 + 1/7*z**2 - 2/7*z. Factor p(k).
-2*(k - 1)**2*(k + 1)/7
Let j(i) be the first derivative of -2*i**3/33 + 4. Factor j(s).
-2*s**2/11
Suppose 0 = -3*y + 12, 541 + 212 = 5*c - 3*y. Let z = c + -607/4. Factor 0 + 5/4*i**4 - 1/2*i**3 + 1/2*i - z*i**2.
i*(i - 1)*(i + 1)*(5*i - 2)/4
Determine n so that -3*n**3 + n**4 - 16*n**4 - 3*n**3 - 3*n**5 - 6*n**5 = 0.
-1, -2/3, 0
Let f = 4 - -1. Suppose -3 = -2*v + 5*d + 3, -f*d = 0. Solve 0*h**4 + 0*h**2 + 1/2*h**5 + 1/2*h - h**v + 0 = 0.
-1, 0, 1
Solve 3*m**3 + 6*m - 6*m**3 - 9*m**2 + 0*m**3 - 3*m**5 + 9*m**4 = 0.
-1, 0, 1, 2
Let g be -1*(-3)/10*2/42. Let v(a) be the second derivative of 0*a**4 + 0*a**6 + 1/147*a**7 + 0*a**3 + 0 + 0*a**2 - 2*a - g*a**5. Find m, given that v(m) = 0.
-1, 0, 1
Let c(f) be the first derivative of -f**6/14 + 3*f**5/35 + 3*f**4/28 - f**3/7 - 2. Factor c(z).
-3*z**2*(z - 1)**2*(z + 1)/7
Let c(u) be the second derivative of 7*u**6/90 + 3*u**5/20 - 5*u**4/36 - u**3/2 - u**2/3 - 5*u. Factor c(y).
(y - 1)*(y + 1)**2*(7*y + 2)/3
Let u = -16415/36 - -456. Let d(q) be the second derivative of 0*q**2 - 1/90*q**6 + 0*q**3 - q + 1/30*q**5 + 0 - u*q**4. Determine n, given that d(n) = 0.
0, 1
Let r be (-45)/(-12)*(-16)/(-12). Let f(l) = -2*l**2 + 11*l - 3. Let w be f(r). Factor -2 + o + 1/4*o**4 - 5/4*o**3 + 3/2*o**w.
(o - 2)**3*(o + 1)/4
Let d(g) be the second derivative of -1/42*g**7 + 0 + 1/20*g**5 - 1/30*g**6 + 0*g**3 + 0*g**2 + 4*g + 1/12*g**4. Find f such that d(f) = 0.
-1, 0, 1
Let q(h) be the third derivative of -h**8/840 + h**6/90 - h**4/12 - h**3/2 + 2*h**2. Let j(y) be the first derivative of q(y). Factor j(r).
-2*(r - 1)**2*(r + 1)**2
Let u = -343/3 - -229/2. Factor u*n**3 - 1/6*n - 1/3 + 1/2*n**2 - 1/6*n**4.
-(n - 2)*(n - 1)*(n + 1)**2/6
Let v(c) be the third derivative of 0*c + 0 + 6*c**2 + 1/96*c**4 - 1/420*c**7 - 1/1344*c**8 + 0*c**3 + 1/120*c**5 + 0*c**6. Determine f, given that v(f) = 0.
-1, 0, 1
Factor -2*u**2 - 354*u**3 + 2*u**2 + 364*u**3 + 35*u**4.
5*u**3*(7*u + 2)
Let t = -112 + 116. Let p(q) be the second derivative of 0 - 1/6*q**4 + 0*q**2 - t*q - 1/20*q**5 - 1/6*q**3. Let p(j) = 0. Calculate j.
-1, 0
Suppose 6 = -3*m + m, 3*m + 9 = -5*z. Let -2/5*w**2 + z*w + 0 = 0. Calculate w.
0
Let d(v) = -4*v - 9 - 2*v + 3 - v**2. Let j be d(-4). Find z, given that 0*z**4 + j*z**2 - 2*z**3 + 2*z - z**4 - 3*z**4 + 2*z**2 = 0.
-1, -1/2, 0, 1
Let g(h) = -7*h - 2. Let p be g(-1). Suppose u - 5 = -2*v, -5*v = -u + 6*u - p. Suppose 1/2 + 7/4*s**3 - 3/2*s**v + s**2 - 7/4*s = 0. Calculate s.
-1, 1/2, 2/3, 1
Let 2/13*v**3 + 4/13*v**2 + 0 + 0*v = 0. What is v?
-2, 0
Determine n so that -n**3 + 2*n**4 - 4*n - 6*n**4 + n**4 + 8*n**3 = 0.
-2/3, 0, 1, 2
Suppose -5*q + 10 = 2*c, 5*c = -3*q - q + 8. Let y(r) be the first derivative of 1/2*r + 2 - 1/6*r**3 + c*r**2. Factor y(z).
-(z - 1)*(z + 1)/2
Let w be (2/2)/(3/16). Let m(l) be the first derivative of -2*l**2 + 1 - w*l**3 - 9/5*l**5 - 21/4*l**4 + 0*l. Solve m(o) = 0 for o.
-1, -2/3, 0
Let r(n) be the first derivative of 7/10*n**4 + 4/5*n - 4/15*n**3 - 7/5*n**2 + 4. What is b in r(b) = 0?
-1, 2/7, 1
Let v(n) be the second derivative of -n**7/189 + n**5/45 - n**3/27 - 7*n. Find d such that v(d) = 0.
-1, 0, 1
Let a(b) be the third derivative of b**8/1680 - b**7/360 + b**6/360 + b**5/120 - b**4/12 - b**2. Let g(t) be the second derivative of a(t). Factor g(d).
(d - 1)**2*(4*d + 1)
Suppose -16*m - 8 = -18*m. Suppose 0*l + 16/5*l**2 - 14*l**5 + 0 + 24/5*l**3 - 132/5*l**m = 0. What is l?
-2, -2/7, 0, 2/5
Factor 2/9*x**3 + 0 + 0*x + 0*x**2 - 2/9*x**4.
-2*x**3*(x - 1)/9
Determine m, given that 5*m + 6*m**3 - 2*m**4 + 0*m**4 - 8*m - 3*m + 2*m**2 = 0.
-1, 0, 1, 3
Let n(b) = 4*b**3 + 2*b**2 + b + 1. Let p be n(-2). Let m be 10/p - (-128)/70. Solve 16/7*k**4 - 4/7*k**2 + 0*k - 2/7*k**3 + 0 - m*k**5 = 0 for k.
-2/5, 0, 1
Let n(j) be the third derivative of -j**9/7560 + j**8/3360 + j**7/630 - j**4/8 - 6*j**2. Let t(o) be the second derivative of n(o). Let t(s) = 0. Calculate s.
-1, 0, 2
Let g(z) be the first derivative of 12*z**3 - 27*z**2 - 14/5*z**5 - 54*z - 4 + 1/3*z**6 + 5*z**4. Solve g(f) = 0 for f.
-1, 3
Let o = -1 + 5. Suppose -o*y - 15 + 23 = 0. What is w in 2/5*w**y + 0*w + 0 = 0?
0
Let v(o) = 4*o**2 + 4 - 2 + 5*o - 4 - o**2 - 4*o**4 - 2*o**3. Let d(f) = f**4 - f**2 - f + 1. Let w(n) = 3*d(n) + v(n). Factor w(l).
-(l - 1)*(l + 1)**3
Let k be (1 + -3)*(-120)/3. Let v = k + -153/2. Determine x, given that -7/4*x - x**2 - 7/4*x**5 + 1/2 + 1/2*x**4 + v*x**3 = 0.
-1, 2/7, 1
Let x(k) be the third derivative of 2*k**7/945 + k**6/216 + k**5/540 + 16*k**2. Suppose x(u) = 0. What is u?
-1, -1/4, 0
Let u(h) = -h - 1. Let r(q) = -q**2 + 4*q + 1. Let o(a) = -r(a) - 2*u(a). Factor o(m).
(m - 1)**2
Let s(j) = j**2 + j. Let y(g) = -8*g**2 - g. Let b(f) = 14*s(f) + 2*y(f). Factor b(p).
-2*p*(p - 6)
Let h(v) = -v**4 - v**3 - v**2 - v + 1. Let b(q) = 162*q**5 - 574*q**4 + 532*q**3 + 6*q**2 - 102*q - 18. Let j(m) = -2*b(m) - 4*h(m). Let j(d) = 0. Calculate d.
-2/9, 1, 2
Let a = 4 - 0. Suppose 9*u = a*u + 10. Factor 1/2*s**u + 0 + 0*s.
s**2/2
Let p(b) be the third derivative of b**7/70 - 3*b**6/40 + 3*b**5/20 - b**4/8 - 5*b**2. Suppose p(n) = 0. Calculate n.
0, 1
Factor 0 + 20/3*g**3 - 16*g**2 + 16/3*g.
4*g*(g - 2)*(5*g - 2)/3
Suppose -j - 5*o = -1 - 4, -4*o - 25 = -5*j. Suppose 10 = j*t - 0*t. Suppose -2/3*q**t + 0*q + 0 = 0. Calculate q.
0
Solve 0*r**4 - 15*r**3 - 12*r - 8*r**2 - 40*r**2 + 21*r**4 = 0 for r.
-1, -2/7, 0, 2
Let i(t) be the third derivative of -t**7/210 + t**6/30 - t**5/20 - t**4/6 + 2*t**3/3 + 23*t**2. Factor i(a).
-(a - 2)**2*(a - 1)*(a + 1)
Let d(o) be the second derivative of -o**6/165 - o**5/110 + o**4/66 + o**3/33 + 8*o. Factor d(q).
-2*q*(q - 1)*(q + 1)**2/11
Suppose 4*a - 10 - 6 = 0. Let v be 14/a - 1/2. Factor -4*z**3 + 6*z**v + z**2 + 3*z**3 + 4*z**4.
z**2*(z + 1)*(4*z + 1)
Suppose -8 = -3*j - j. Factor 16*l - 1 - 1 - j - 15*l**2.
-(3*l - 2)*(5*l - 2)
Let f(i) be the third derivative of i**7/1260 + i**6/360 + i**4/6 + i**2. Let p(z) be the second derivative of f(z). Factor p(a).
2*a*(a + 1)
Factor 4*y**2 + 5/4*y**4 + y + 0 + 17/4*y**3.
y*(y + 1)*(y + 2)*(5*y + 2)/4
Factor -29/2*c - 3 - 9/2*c**2.
-(c + 3)*(9*c + 2)/2
Factor -1/2*i**4 - 3/2 + 2*i**2 + i**3 - i.
-(i - 3)*(i - 1)*(i + 1)**2/2
Suppose 0 = j - 2*j + 1. Let k(q) be the first derivative of 0*q - 7/16*q**4 + 1/4*q**2 + 5/12*q**3 - j. Suppose k(b) = 0. What is b?
-2/7, 0, 1
Let i(r) be the second derivative of -r**6/900 - r**5/300 + r**3/3 - 4*r. Let w(c) be the second derivative of i(c). F