= 0. What is a?
-2/7, 0, 1
Let c(l) = l**2 - 9*l. Let s(i) = -i**2 + 5*i + 2. Let x(q) = 4*q**2 - 19*q - 9. Let p(j) = 18*s(j) + 4*x(j). Let r(k) = -8*c(k) - 5*p(k). Factor r(d).
2*d*(d + 1)
Factor 5/3*i**2 - 10/3*i**3 + 0 + 0*i + 5/3*i**4.
5*i**2*(i - 1)**2/3
Let b(g) be the first derivative of 2*g**3/3 - 8*g - 2. Suppose b(j) = 0. Calculate j.
-2, 2
Let m be (-28)/40*-8 - (-2 - -2). Suppose m*o**3 + 12/5*o**2 + 6/5*o**5 + 22/5*o**4 - 2/5*o - 2/5 = 0. What is o?
-1, 1/3
Let n(r) = -11*r**4 + 3*r**3 + 12*r**2 + 4*r - 15. Let w(g) = 5*g**4 - g**3 - 6*g**2 - 2*g + 7. Let s(x) = 6*n(x) + 14*w(x). Suppose s(d) = 0. Calculate d.
-2, -1, 1
Solve -3/8*p**2 - 9/4 - 15/8*p = 0 for p.
-3, -2
Let b(z) be the third derivative of 2/3*z**3 + 5/12*z**4 + 1/60*z**6 + 2/15*z**5 + 0 + 3*z**2 + 0*z. Factor b(o).
2*(o + 1)**2*(o + 2)
Let j be (10 + -2)*2/4. Suppose k = -4*r + 22, 3*k + r = j*k + 3. Factor -o**2 + 1 + o + o + k*o**2.
(o + 1)**2
Let j(z) be the second derivative of -z**7/70 - z**6/50 + 3*z**5/50 + z**4/10 - z**3/10 - 3*z**2/10 - 51*z. Find l, given that j(l) = 0.
-1, 1
Let n = -14 + 8. Let a be ((-8)/6)/(4/n). Factor o + 2*o**4 + o**a - o**3 + 0*o**3 - 3*o**4.
-o*(o - 1)*(o + 1)**2
Suppose 4*t - 14 = 22. Determine q, given that -3*q**2 + 9*q + 1/3*q**3 - t = 0.
3
Let r(n) = -n**4 - 6*n**3 + 13*n**2 - 14*n + 6. Let f(m) = -m**4 - m + 1. Let a(p) = -2*f(p) + r(p). Find d such that a(d) = 0.
1, 2
Let p(y) be the third derivative of y**7/2520 - y**4/8 + 3*y**2. Let u(s) be the second derivative of p(s). Factor u(z).
z**2
Let f(v) = v**2 + v + 4*v**3 + 1 - 4*v**3 - v**3. Let j be 32/(-18) - 4/18. Let c(q) = 2*q**3 - 13*q - 11. Let g(x) = j*c(x) - 22*f(x). Factor g(s).
2*s*(s - 1)*(9*s - 2)
Let m(s) = 15*s**2 + 2*s - 5. Let v(a) = -15*a**2 - 3*a + 6. Let b(o) = 3*m(o) + 4*v(o). Factor b(q).
-3*(q + 1)*(5*q - 3)
Let f(n) be the third derivative of -n**10/302400 - n**9/120960 + n**5/60 - 3*n**2. Let h(b) be the third derivative of f(b). Factor h(p).
-p**3*(p + 1)/2
Find a, given that 0 - 3/2*a**2 + a + 1/2*a**3 = 0.
0, 1, 2
Suppose -3*j - 12 = -7*j. Suppose 7 = -3*u - 4*w, -5 = u + j*w - w. Factor 0 - 2*k**u - 2/3*k**5 - 2/3*k**2 + 0*k - 2*k**4.
-2*k**2*(k + 1)**3/3
Let x(o) = 6*o**2 + o - 1. Let k be x(1). Let t(j) be the second derivative of 1/75*j**k + 0*j**2 + 0*j**3 + 0 + 0*j**4 - j + 0*j**5. Factor t(i).
2*i**4/5
Let g = 25/12 + -17/12. Suppose g*d**3 + 0*d**2 + 0 + 0*d**4 + 0*d - 2/3*d**5 = 0. Calculate d.
-1, 0, 1
Let k(y) be the third derivative of 3*y**5/100 + y**4/20 - y**3/10 + y**2 + 4. Factor k(s).
3*(s + 1)*(3*s - 1)/5
Let g = 31 + -31. Let t(v) be the first derivative of 0*v + g*v**2 + 1/4*v**4 + 2 + 1/3*v**3. Factor t(h).
h**2*(h + 1)
Let 6/5*p**3 + 2/5*p**5 + 2/5*p**2 + 6/5*p**4 + 0*p + 0 = 0. Calculate p.
-1, 0
Suppose 131*x = 116*x + 15. Factor x + 0*c**2 + 1/2*c**3 - 3/2*c.
(c - 1)**2*(c + 2)/2
Factor 6/17*h**2 - 4/17*h + 0 - 2/17*h**4 + 0*h**3.
-2*h*(h - 1)**2*(h + 2)/17
Let l(y) be the third derivative of 0 - 1/45*y**7 + 2/9*y**3 - 1/20*y**6 + 1/4*y**4 + 1/18*y**5 + 0*y + 3*y**2. What is b in l(b) = 0?
-1, -2/7, 1
Let u(s) be the third derivative of -s**5/330 + 5*s**4/132 - 4*s**3/33 - 8*s**2. Solve u(b) = 0.
1, 4
Let b(c) be the third derivative of c**8/168 - c**7/35 + c**6/30 + c**5/15 - c**4/4 + c**3/3 - 3*c**2. Factor b(y).
2*(y - 1)**4*(y + 1)
Let x(c) = -44*c**3 + 24*c**2 + 20*c. Let m(g) be the third derivative of -3*g**6/40 + g**5/12 + g**4/6 + 4*g**2. Let i(u) = -14*m(u) + 3*x(u). Factor i(b).
-2*b*(b - 1)*(3*b + 2)
Let b = -26 + 39. Suppose -3*d - 1 = -b. Let -j**2 + 4*j**2 + d - 4 - 3 = 0. What is j?
-1, 1
Let o = -101 - -711/7. Factor 0*n - o*n**2 - 10/7*n**3 + 0.
-2*n**2*(5*n + 2)/7
Let i(f) = f**2 - 7*f + 5. Let t be i(7). Let o**3 + t*o**2 + 2 - 2 + 8*o + 4 = 0. Calculate o.
-2, -1
Let y be 1*0/(0 - 3). Suppose 4*k**2 + y*k**2 - 6*k + 0*k**2 - k**2 + 3 = 0. Calculate k.
1
Let r be (8/(-14))/((-204)/238). Let a(c) be the first derivative of -2 + 0*c**2 + 0*c - 1/4*c**4 - r*c**3. Factor a(b).
-b**2*(b + 2)
Suppose 4 = 2*r - 0*r. Factor -2*q**2 + 2*q**4 + 2 + 0 - r*q**2.
2*(q - 1)**2*(q + 1)**2
Let b(w) be the first derivative of 1/2*w**4 - 1/5*w**5 + 1/2*w**2 - 2/3*w**3 + 1/30*w**6 - 3 - 2*w. Let n(c) be the first derivative of b(c). Factor n(j).
(j - 1)**4
Let h = 32 + -95/3. Let p(l) be the second derivative of 5/36*l**4 + h*l**2 + l - 7/18*l**3 + 0. Find k such that p(k) = 0.
2/5, 1
Let l(d) be the third derivative of -d**7/280 + d**5/80 - 2*d**2. Let l(c) = 0. Calculate c.
-1, 0, 1
Solve 0*b - 3/4*b**2 + 3/4*b**3 + 0 = 0 for b.
0, 1
Factor 0 - 2/3*l**2 + 0*l.
-2*l**2/3
Factor 7/2*n**4 + 2 + 19/2*n**3 + 8*n + 25/2*n**2 + 1/2*n**5.
(n + 1)**3*(n + 2)**2/2
Let r(w) be the third derivative of -w**5/20 - 3*w**4/4 - 9*w**3/2 - 5*w**2. Determine m, given that r(m) = 0.
-3
Suppose -3*a = -2*a + 4*g - 27, -2*g = -4*a + 18. Solve a*c**2 - 3*c**2 - 4*c - 6*c**2 = 0 for c.
-2, 0
Let c(f) be the first derivative of -f**6/14 + 3*f**5/5 - 57*f**4/28 + 25*f**3/7 - 24*f**2/7 + 12*f/7 + 12. Factor c(k).
-3*(k - 2)**2*(k - 1)**3/7
Suppose 7*i + 8 = 3*k + 11*i, -2*k = i - 2. Solve -1/4*c**2 + 0 + k*c = 0.
0
Let q(z) = -9*z**2 + 18*z - 11. Let l(j) = 3*j**2 - 6*j + 4. Let d(f) = 11*l(f) + 4*q(f). Solve d(u) = 0.
0, 2
Let c(x) be the first derivative of -x**4/10 + 4*x**3/15 + 4*x**2/5 - 3*x + 3. Let z(f) be the first derivative of c(f). Factor z(d).
-2*(d - 2)*(3*d + 2)/5
Let q(t) = 27*t**5 + 25*t**4 - 2*t**2 - 2*t. Let d(p) = -p**5 - p**4 - p**3 + p**2 + p. Let f(a) = -4*d(a) - 2*q(a). Determine w, given that f(w) = 0.
-1, 0, 2/25
Let u = -27/7 + 61/14. Factor -f + 1/2*f**2 + u.
(f - 1)**2/2
Suppose 2*d = -n - n - 20, d + 28 = -3*n. Let f = n - -11. Factor 2*y**f + 6*y + y - 2*y + 3*y + 8.
2*(y + 2)**2
Let f = 47 - 187/4. Suppose 22*n = -15*n + 74. Factor -1/4*g**n + f*g + 0.
-g*(g - 1)/4
Let b(k) = -2*k**3 + k**2 + 2*k - 1. Let p(h) = -h**3 + h + h**2 - h**2 + 0*h. Let d(l) = -b(l) + 3*p(l). Suppose d(a) = 0. What is a?
-1, 1
Let j(n) be the second derivative of -n**4/54 - 2*n**3/27 - n**2/9 + 3*n. Solve j(w) = 0.
-1
Let t = 0 + 6. Factor t*b**3 + 3 - 3 + 2*b**2 - 2*b**3 + 2*b**4.
2*b**2*(b + 1)**2
Let t be ((-10)/45)/(2 + (-20)/6). Let u(i) be the second derivative of 0*i**3 - i**2 - i + t*i**4 + 0. Factor u(m).
2*(m - 1)*(m + 1)
Suppose 0 = 5*j - 3*j - 7*j. Let c(s) be the third derivative of 1/15*s**5 + 1/60*s**6 + 0*s + j*s**3 + 0 - s**2 + 1/12*s**4. Factor c(r).
2*r*(r + 1)**2
Let p(q) = 9*q + 15. Let j be (-615)/(-55) + (-2)/11. Let u be p(j). Let 144*g**4 + 2/3 + 26/3*g + 134/3*g**2 + u*g**3 + 72*g**5 = 0. What is g?
-1/2, -1/3
Let a(o) be the third derivative of 0*o + 1/60*o**5 + 0*o**3 + 6*o**2 + 0*o**4 + 0. Factor a(b).
b**2
Let f(i) = -i**3 - 2*i**2 + 4*i + 4. Let t be f(-3). Let z be (t/2)/(2/8). What is k in 0 + 0*k - 2/3*k**z - 2/3*k**3 = 0?
-1, 0
Suppose -25 = j - 48. Suppose 0 = 5*i - j - 2. Let 0*b**3 + 0*b + 0 - 2/5*b**i + 6/5*b**4 - 8/5*b**2 = 0. What is b?
-1, 0, 2
Factor -2/11*x**2 + 2/11*x**4 + 2/11*x**5 - 10/11*x**3 - 8/11 + 16/11*x.
2*(x - 1)**3*(x + 2)**2/11
Let t(z) be the first derivative of 8 - z**4 + 8*z + 16/3*z**3 - 10*z**2. Factor t(r).
-4*(r - 2)*(r - 1)**2
Let y(g) be the first derivative of 1 - 1/5*g**5 + 1/2*g**4 + 0*g**2 - 1/3*g**3 + 0*g. Solve y(s) = 0.
0, 1
Suppose 5*n = 4*g + 9, 0 = 5*g + 2*n - 26 - 4. Let j(p) be the first derivative of 3/2*p**g - 6/5*p**5 + 1/3*p**6 - 1 + 0*p**2 - 2/3*p**3 + 0*p. Factor j(f).
2*f**2*(f - 1)**3
Let p = 35/8 - -55/8. Let p*u**4 + 0 + 0*u - 5/4*u**5 - 135/4*u**3 + 135/4*u**2 = 0. Calculate u.
0, 3
Suppose -1/6*y**4 - 1/6 + 1/3*y**2 + 0*y**3 + 0*y = 0. Calculate y.
-1, 1
Let r be 1/3*(5 - -4). Let o be (-2)/6*-3 + r. Factor 4/3*n**3 - 2*n**o - 2*n + 4/3*n**2 + 2/3 + 2/3*n**5.
2*(n - 1)**4*(n + 1)/3
Determine r, given that -14*r**2 + 7*r**2 + 2*r**2 - r**4 - 1 + 7*r**2 = 0.
-1, 1
Suppose 3*o + v - 4 = 0, -5 - 5 = 2*v. Let d(p) be the first derivative of 2 - 1/2*p**2 + 1/6*p**o + 1/2*p. Factor d(t).
(t - 1)**2/2
Let g = 157 + -100. Let s = 403/7 - g. Find j, given that 0*j**3 + 0 + s*j**4 - 4/7*j**2 - 2/7*j**5 + 2/7*j = 0.
-1, 0, 1
Factor -3/4*a**3 - 5/4*a**2 + 1/2*a + 0.
-a*(a + 2)*(3*a - 1)/4
Suppose -b = 3*f + 4*b - 20, -4*f - 3*b = -12. Let g(h) be the second