ulate l.
-1, 0, 1/2, 1
Let z(g) be the third derivative of -1/448*g**8 + 3/160*g**6 + 0 + 7*g**2 + 0*g + 1/140*g**7 - 1/8*g**4 + 0*g**3 - 1/20*g**5. Suppose z(y) = 0. Calculate y.
-1, 0, 2
Let x(t) be the first derivative of 1/9*t**3 + 3 + 1/12*t**2 - 1/24*t**4 - 1/3*t. Suppose x(l) = 0. What is l?
-1, 1, 2
Let j(x) be the first derivative of 0*x - 1/15*x**6 - 4/25*x**5 + 4 + 0*x**2 + 0*x**3 - 1/10*x**4. Find n such that j(n) = 0.
-1, 0
Let n(c) be the first derivative of -11/15*c**3 + 4/5*c**4 + 5 - 7/25*c**5 + 0*c + 1/5*c**2. Suppose n(t) = 0. What is t?
0, 2/7, 1
Factor 1 - 7/2*a**2 + 5/2*a.
-(a - 1)*(7*a + 2)/2
Let j(z) be the second derivative of 1/15*z**5 - 1/3*z**2 + 0 + 1/9*z**4 - 1/9*z**3 - 1/45*z**6 - 4*z - 1/63*z**7. Suppose j(x) = 0. Calculate x.
-1, 1
Let i(b) = 4*b**2 + 6*b + 6*b - 11*b. Let k be i(-1). Factor 1/5*w**4 - 2/5 + 1/5*w**2 - 3/5*w + 3/5*w**k.
(w - 1)*(w + 1)**2*(w + 2)/5
Let z(o) = 5*o**3 + o**2 + 4. Let n(x) = 4*x**3 + x**2 + 3. Let p(s) = 4*n(s) - 3*z(s). Factor p(a).
a**2*(a + 1)
Let i(v) = -7*v**5 - 3*v**4 + 3*v**2 - 33 + 33 + 7*v**3. Let h(t) = 6*t**5 + 2*t**4 - 6*t**3 - 2*t**2. Let o(p) = 5*h(p) + 4*i(p). What is j in o(j) = 0?
-1, 0, 1
Let l = -14/3 + 5. Let h(w) be the second derivative of 1/16*w**4 + 0 - 1/2*w**2 + 9/80*w**5 - l*w**3 + w. Determine b so that h(b) = 0.
-2/3, 1
Let u(i) be the second derivative of i**5/100 - 2*i**3/5 - 8*i**2/5 - 52*i. Factor u(y).
(y - 4)*(y + 2)**2/5
Let b(c) be the first derivative of c**5/180 - c**4/108 - c**3/27 - 4*c - 6. Let u(l) be the first derivative of b(l). Factor u(w).
w*(w - 2)*(w + 1)/9
What is w in -2*w + 38*w**4 + 16*w**2 - 21/2*w**5 + 0 - 83/2*w**3 = 0?
0, 2/7, 1/3, 1, 2
Let v be 10 - 9 - (-1)/((-9)/6). Factor -v*j**5 + 1/3*j**4 - 1/3*j + 1/3 - 2/3*j**2 + 2/3*j**3.
-(j - 1)**3*(j + 1)**2/3
Let y = -203/18 + 112/9. Factor 0 - 1/3*h + y*h**3 + 5/6*h**2.
h*(h + 1)*(7*h - 2)/6
Let m = 317/28 + -51/4. Let l = 58/21 + m. Factor -1/3 + 7/3*b**2 + l*b**3 + 2/3*b.
(b + 1)**2*(4*b - 1)/3
Let n(j) be the first derivative of j**8/448 + j**7/280 - j**6/160 - j**5/80 + j**2/2 + 1. Let h(w) be the second derivative of n(w). Solve h(y) = 0.
-1, 0, 1
Suppose -19 + 3 = -4*u + 2*t, -4*u + 16 = t. Let p(x) be the second derivative of x - 1/60*x**6 + 0*x**2 + 0 + 0*x**5 + 0*x**3 + 1/24*x**u. Factor p(w).
-w**2*(w - 1)*(w + 1)/2
Let u(f) = -f**3 + 2*f**2 + 3*f + 2. Let p be u(3). Solve 0 - 1/2*b - 1/2*b**p = 0.
-1, 0
Let z(n) be the second derivative of n**2 + 1/210*n**5 + 1/21*n**3 - n + 0 + 1/42*n**4. Let l(r) be the first derivative of z(r). Factor l(u).
2*(u + 1)**2/7
Solve -31 + l**3 + 0*l**3 - l + l**2 + 30 = 0 for l.
-1, 1
Suppose 5*d - 1 = 24. Let v(r) be the second derivative of -4/15*r**6 + 0*r**2 - 3/5*r**d + 2*r + 0 - 1/21*r**7 - 1/3*r**3 - 2/3*r**4. Factor v(i).
-2*i*(i + 1)**4
Let g be (-1 - 1) + (-13)/(-7). Let f = 5/14 - g. Let -5/4*p**2 + f - 3/4*p = 0. What is p?
-1, 2/5
Let r(z) = -z**2 - 2*z + 5. Let i be r(-3). Let b(f) be the first derivative of f**i - 2/5*f**3 + 2 - 4/5*f. Factor b(j).
-2*(j - 1)*(3*j - 2)/5
Let z = 3761/20 + -188. Let a(m) be the first derivative of 1/12*m**3 - z*m**5 + 0*m + 0*m**4 + 0*m**2 - 2. Let a(v) = 0. Calculate v.
-1, 0, 1
Let w(s) be the first derivative of 2*s**3/27 - s**2/3 + 4*s/9 - 13. Factor w(c).
2*(c - 2)*(c - 1)/9
Let g(f) be the first derivative of 3*f**4/16 + f**3/6 - f**2/8 - 13. Factor g(w).
w*(w + 1)*(3*w - 1)/4
Let g(p) be the third derivative of p**5/210 + p**4/42 + p**3/21 + p**2. Factor g(j).
2*(j + 1)**2/7
Let s(l) be the first derivative of -2*l**6/3 - 8*l**5/5 + 7*l**4 - 16*l**3/3 - 16. Factor s(m).
-4*m**2*(m - 1)**2*(m + 4)
Let d(k) = -3*k**2 + 5*k - 5. Suppose 0*r - 25 = 5*r. Let u(i) = -2*i**2 + 3*i - 3. Let l(q) = r*u(q) + 3*d(q). Solve l(w) = 0.
0
Let b(a) be the first derivative of a**8/6720 + a**7/1680 + a**6/1440 - 5*a**3/3 + 2. Let o(f) be the third derivative of b(f). Solve o(h) = 0 for h.
-1, 0
Let o(s) be the second derivative of -s**4/42 + 2*s**3/21 - 8*s. Factor o(t).
-2*t*(t - 2)/7
Let m(w) = -3*w**2 - 4*w + 4. Let l(d) = 0 + 11*d - 8 + 9*d**2 - 1 - 2. Let r(o) = 4*l(o) + 11*m(o). Find j, given that r(j) = 0.
0
Suppose g + g + j - 5 = 0, -2*g + 5*j - 1 = 0. Factor 1/3*x + 0 - 1/6*x**g.
-x*(x - 2)/6
Let 0 + 0*a - 9/8*a**4 - 3/8*a**2 + 3/8*a**5 + 9/8*a**3 = 0. What is a?
0, 1
Let v be (15 - 18) + 3*1. Factor v + 2/7*u + 2/7*u**2 - 2/7*u**3 - 2/7*u**4.
-2*u*(u - 1)*(u + 1)**2/7
Let t = 17 + -28. Let z = -9 - t. Determine w so that -1/2*w + 0 + 1/2*w**z = 0.
0, 1
Let j(u) = 14*u**2 - 8*u - 6. Let a(n) = 15*n**2 - 9*n - 7. Let w = 19 + -12. Let r(c) = w*j(c) - 6*a(c). Solve r(b) = 0 for b.
0, 1/4
Let r be -1 - (1436/(-18) + 3). Let d = 76 - r. Factor -8/9 - d*s**2 + 8/9*s.
-2*(s - 2)**2/9
Let t(j) = 8*j**2 - 5*j. Let n(z) be the third derivative of -7*z**5/60 + z**4/6 + z**2. Let v(p) = 3*n(p) + 2*t(p). Factor v(u).
-u*(5*u - 2)
Let v(a) be the second derivative of a**7/21 + a**6/6 + a**5/10 - a**4/3 - 2*a**3/3 - a**2/2 - 11*a. Factor v(s).
(s - 1)*(s + 1)**3*(2*s + 1)
Factor -4/7*u**2 - 4/7*u + 0.
-4*u*(u + 1)/7
Let u(i) be the first derivative of i**6/3 - i**5/5 - i**4 + 2*i**3/3 + i**2 - i + 13. What is k in u(k) = 0?
-1, 1/2, 1
What is p in 0 - 20*p - 32/3*p**2 - 4/3*p**3 = 0?
-5, -3, 0
Let t(y) be the second derivative of y**7/11340 + y**4/4 - 3*y. Let a(g) be the third derivative of t(g). Suppose a(l) = 0. What is l?
0
Let u = 9 + -9. Factor u*x + 2/9*x**4 - 4/9*x**3 + 0*x**2 + 0.
2*x**3*(x - 2)/9
Let r(a) = 5*a + 12. Let t be r(-2). Let q(o) be the first derivative of 1/12*o**4 - 1/9*o**3 - 1/6*o**t + 1/3*o + 1. What is k in q(k) = 0?
-1, 1
Let v be 2/(-2) - 207/(-189). Let s(m) be the first derivative of 0*m + v*m**3 - 2 + 1/7*m**2. Find j such that s(j) = 0.
-1, 0
Let y = 117/280 + -1/56. Factor 2/5*h**3 - 4/5*h + 0 - y*h**2.
2*h*(h - 2)*(h + 1)/5
Let v(w) be the second derivative of 0 + 1/24*w**4 + 0*w**2 + 1/24*w**3 + 1/80*w**5 + 5*w. Factor v(l).
l*(l + 1)**2/4
Let g be (-2)/(-4) + 9/6. Suppose -4 = 3*p + 4*t, -t - 12 = g*t. Factor y - 2*y**3 - y**p + 2*y**3 + y**2 - y**3.
-y*(y - 1)*(y + 1)**2
Let w(k) be the first derivative of 28*k**3/15 + 2*k**2 - 8*k/5 + 5. What is m in w(m) = 0?
-1, 2/7
Let r be (-3 - (-4 + 1))/1. Suppose -5*f + 14 = -f - 3*o, o - 2 = -2*f. Suppose 2 + 2*h**f + r - 4 = 0. Calculate h.
-1, 1
Suppose -26 = -v - 5*q, 2*q = -3*v - q + 30. Let x be (-38)/(-9) - v/27. Find j, given that 1/3*j**x + 1/3*j**5 + 1/3 - 2/3*j**3 + 1/3*j - 2/3*j**2 = 0.
-1, 1
Let x(u) = 10*u**2 - 7*u - 6. Let y(q) = -10*q**2 + 6*q + 4. Let d(g) = 2*x(g) + 3*y(g). Factor d(p).
-2*p*(5*p - 2)
Let l be ((-96)/560)/((-3)/7). Determine i so that 2/5*i**3 + 2/15*i**4 - 4/15 - l*i + 2/15*i**2 = 0.
-2, -1, 1
Let p(b) be the first derivative of -1 - b + 0*b**2 - 1/3*b**3 + 1/6*b**4. Let w(y) be the first derivative of p(y). Find u, given that w(u) = 0.
0, 1
Let i be (2 + 33/(-18))*12/42. Let s(u) be the second derivative of i*u**3 - 1/42*u**4 + 1/105*u**6 + 0 - 1/70*u**5 - u + 0*u**2. Factor s(p).
2*p*(p - 1)**2*(p + 1)/7
Let x be 0 + 15*(-1 - 0). Let r be (-6)/(-4)*(-4)/x. Solve 0 - 2/5*v**4 + 0*v + 0*v**2 - r*v**3 = 0 for v.
-1, 0
Let z(b) be the second derivative of 1/6*b**3 + 0*b**2 + 1/12*b**4 + 0 + 3*b. Suppose z(m) = 0. What is m?
-1, 0
Let o(q) be the third derivative of 0*q**4 - 4*q**2 + 0*q**3 + 0*q + 1/120*q**6 + 0 - 1/240*q**5 - 1/280*q**7. Factor o(t).
-t**2*(t - 1)*(3*t - 1)/4
Let h(c) = 5*c**4 + 2*c**3 - 18*c**2 + 24*c - 11. Let a(n) = -66*n**4 - 27*n**3 + 234*n**2 - 312*n + 144. Let f(l) = -2*a(l) - 27*h(l). Factor f(k).
-3*(k - 1)**3*(k + 3)
What is n in -9*n**2 + 4*n**2 - 18*n - 22*n - 80 = 0?
-4
Let o(l) be the first derivative of -3*l**5/35 - 3*l**4/14 - l**3/7 + 2. Factor o(c).
-3*c**2*(c + 1)**2/7
Let u(w) = 2*w**2 - 8*w + 9. Let k(c) = c**2 - 7*c + 8. Let v(h) = 3*k(h) - 2*u(h). Solve v(i) = 0.
-6, 1
Factor 2/5 + 1/10*q**2 - 2/5*q.
(q - 2)**2/10
Let i(r) = 2*r**2 - 2*r. Let d be i(2). Suppose 0*a - 3*a - d*o = -6, 0 = 2*o. Factor -2*v**2 - 1 + 7 - 2 + 0*v - a*v.
-2*(v - 1)*(v + 2)
Determine j so that 3/2 - 3*j**2 - 9*j**3 + 3/2*j**4 + 9/2*j + 9/2*j**5 = 0.
-1, -1/3, 1
Let z = 429/2 - 214. Factor 1/2 + z*i - 1/2*i**3 - 1/2*i**2.
-(i - 1)*(i + 1)**2/2
Let u(f) be the first deriv