v(f). Determine w so that n(w) = 0.
-1, 0, 2
Let u(w) be the third derivative of 0*w + 0*w**4 - 13/40*w**5 - 4*w**2 - 7/48*w**6 + 1/3*w**3 + 0. Determine i, given that u(i) = 0.
-1, -2/5, 2/7
Let p(i) be the third derivative of -i**8/1680 + i**7/840 - i**3/3 - 2*i**2. Let v(k) be the first derivative of p(k). Factor v(h).
-h**3*(h - 1)
Let p(a) be the first derivative of a**5/120 + 3*a + 1. Let r(i) be the first derivative of p(i). Factor r(j).
j**3/6
Suppose 19*m - 64 = 12. Factor -2/11*b + 0*b**m + 0*b**2 + 4/11*b**3 - 2/11*b**5 + 0.
-2*b*(b - 1)**2*(b + 1)**2/11
Let o(u) = 20*u**3 + 14*u**2 + 8*u - 14. Let t(c) = 7*c**3 + 5*c**2 + 3*c - 5. Let a(w) = 5*o(w) - 14*t(w). Factor a(j).
2*j*(j - 1)*(j + 1)
Let b be (1/2)/(-5 + 93/18). Factor -6/5*k + 2/5*k**4 - 4/5 + 2/5*k**2 + 6/5*k**b.
2*(k - 1)*(k + 1)**2*(k + 2)/5
Suppose -5*w + 29 = -6*p + 2*p, -4*w = 4*p - 16. Solve -6*g**2 + 2*g + 3*g**4 + 3 - 5*g**w + g + 2*g**5 - 6*g**3 + 6*g**5 = 0 for g.
-1, 1
Factor 8/5 - 8/5*r + 2/5*r**2.
2*(r - 2)**2/5
Let o = 30 - 59/2. What is v in 1/4*v**2 + o - 3/4*v = 0?
1, 2
Let i = -3 - -5. Factor -1 + 2 + 1 - 3*o + o**i - 3 + 3*o**3.
(o - 1)*(o + 1)*(3*o + 1)
Let t(v) = 5*v**3 + v + 2. Suppose 3*f - 3 = 6*f. Suppose 0 = -4*z + 7*z + 12. Let q(n) = -n**3 - n. Let c(d) = f*t(d) + z*q(d). Let c(i) = 0. Calculate i.
-2, 1
Let j(f) be the second derivative of -f**4/12 - 2*f**3/3 - 3*f**2/2 + 6*f. Let s be j(-3). Factor 1/3*a**3 + s*a + 0 + 1/3*a**2.
a**2*(a + 1)/3
Let f = 134 - 535/4. Factor f*g**2 + 0*g - 1/4.
(g - 1)*(g + 1)/4
Suppose 5*d = 3*i + 3*d - 17, 5*d = 5*i - 30. Suppose 4*s - i*f - 18 = -0*s, s + 2*f + 2 = 0. Let 2/7 - 4/7*q + 2/7*q**s = 0. Calculate q.
1
Determine s, given that 112*s**3 - s**5 + 108*s**3 - 219*s**3 = 0.
-1, 0, 1
Suppose 0 - 9/2*v**2 + 9/2*v**4 + 15/2*v**3 - 6*v**5 - 3/2*v = 0. Calculate v.
-1, -1/4, 0, 1
Suppose 3*m - 1 - 8 = 0. Factor -9*u**5 + 0*u**4 - 4*u + 3*u + 4*u**2 + 2*u**m - 12*u**4.
-u*(u + 1)**2*(3*u - 1)**2
Factor -49*o + 342*o**4 + 152*o**3 - 927*o**3 - 56*o**3 - 1596*o**2 - 27*o**5 - 539*o.
-3*o*(o - 7)**2*(3*o + 2)**2
Suppose -7 + 32 = 5*m. Let q = -57/2 - -29. Determine g so that -7/4*g**m - 7/4*g - q - 1/2*g**4 + g**2 + 7/2*g**3 = 0.
-1, -2/7, 1
Let h be (-4)/6 - 126/(-27). Factor 4*d**4 - 12*d - 2 - 6 - 82*d**3 + 3*d**h + 46*d**2 + 49*d**3.
(d - 2)**2*(d - 1)*(7*d + 2)
Let r = 19 - 17. Let b(j) be the third derivative of 0*j**3 + 0*j - j**r + 1/36*j**4 + 0 + 1/90*j**5. Factor b(o).
2*o*(o + 1)/3
Let s(y) be the second derivative of y**4/30 + 2*y**3/15 - 4*y. Factor s(h).
2*h*(h + 2)/5
Let d(g) be the third derivative of -g**10/151200 - g**9/60480 + g**8/20160 + g**7/5040 - g**5/6 + g**2. Let q(s) be the third derivative of d(s). Factor q(j).
-j*(j - 1)*(j + 1)**2
Let b = 10 - 6. Suppose -g + 4*g**2 + 3*g - 2*g**b - 2*g**5 - 2*g**4 = 0. Calculate g.
-1, 0, 1
Let c(v) be the third derivative of -v**5/510 + 3*v**4/68 - 14*v**3/51 + v**2 + 8. Factor c(h).
-2*(h - 7)*(h - 2)/17
Let a(o) be the second derivative of o**4/30 - o**3/15 - 2*o. Find b, given that a(b) = 0.
0, 1
Suppose 3*l = 5*d - 30, 3*d - 5*l = -2*d + 30. Suppose 0 = -h - h + d. Factor -3/2*x**2 - 1/4 + x + x**h - 1/4*x**4.
-(x - 1)**4/4
Let a(k) = -4*k**3 - k**2 + k + 1. Let j be a(-1). Let 4*u + 8*u**5 - 8*u + 45*u**j - 13*u**3 - 6*u**2 - 30*u**4 = 0. Calculate u.
-1/4, 0, 1, 2
Let q be (-2)/4 + 2 + (-35)/30. Solve -m + m**2 + q - 1/3*m**3 = 0.
1
Solve 0 + 13/9*k**2 + 2/9*k = 0.
-2/13, 0
Let q = -129 + 1163/9. Suppose 8/9*l - q*l**2 - 8/9 = 0. What is l?
2
Suppose 15*z = 11*z + 8. Find d, given that -1/3*d**z + 1/3*d**4 + 1/3*d**3 - 1/3*d + 0 = 0.
-1, 0, 1
Factor 1/4*b - 1/4*b**3 - 1/4 + 1/4*b**2.
-(b - 1)**2*(b + 1)/4
Let c be (-6)/4 + 36/8 - 3. Let j(n) be the third derivative of 0*n - 4*n**2 + c + 0*n**5 + 1/360*n**6 + 0*n**3 + 0*n**4. Factor j(w).
w**3/3
Let p(t) be the third derivative of 4*t**2 + 0 + 0*t - 1/210*t**5 + 0*t**3 + 1/42*t**4. Determine q so that p(q) = 0.
0, 2
Let m(z) be the first derivative of -1/60*z**4 + 0*z**3 - 3*z + 1 + 1/150*z**6 + 0*z**5 + 0*z**2. Let k(c) be the first derivative of m(c). Factor k(x).
x**2*(x - 1)*(x + 1)/5
Let c(t) be the third derivative of -t**8/70560 + t**5/15 + 3*t**2. Let b(w) be the third derivative of c(w). Suppose b(j) = 0. What is j?
0
Suppose 0 = -3*l - 2*n + 11, -n + 7 + 9 = 5*l. Suppose 0*k = -5*x + 5*k, -l*x = 3*k. Solve x - 1/3*j**5 + 0*j + 0*j**2 + 2/3*j**3 - 1/3*j**4 = 0 for j.
-2, 0, 1
Let g(s) be the third derivative of -s**9/241920 - s**8/26880 - s**7/6720 - s**6/2880 + s**5/30 + 4*s**2. Let k(b) be the third derivative of g(b). Factor k(u).
-(u + 1)**3/4
Let i(j) be the first derivative of 3*j**5/10 - 3*j**4/8 - j**3 - 25. Find v such that i(v) = 0.
-1, 0, 2
Let k(b) be the first derivative of 0*b**2 - 2/21*b**3 - 5 + 0*b. Suppose k(g) = 0. Calculate g.
0
Suppose 5*o - 1 - 9 = 0. Factor 0*j + 2*j**3 - j**3 + j**o + 0*j.
j**2*(j + 1)
Let b = 15 - 13. Suppose -n**5 - 20*n**b - 20*n**3 - 10*n**4 - 10*n + 2*n**5 - 3*n**5 - 2 = 0. Calculate n.
-1
Let y(k) be the first derivative of k**7/42 + k**6/10 + 3*k**5/20 + k**4/12 + 3*k + 2. Let l(m) be the first derivative of y(m). Suppose l(g) = 0. Calculate g.
-1, 0
Let c(h) = -h**3 - h**2 - 16. Let p be c(-3). Determine x, given that 0 + 6/17*x**p - 4/17*x = 0.
0, 2/3
Suppose 4*j = 5*g + 64, -g - 16 = g - 4*j. Let s = -16 - g. Factor 0*i - 12/7*i**4 + 2/7*i**2 + s + 2/7*i**3.
-2*i**2*(2*i - 1)*(3*i + 1)/7
Suppose -3*f - 4 = -4*f. Factor -1/2*g - 9/2*g**3 + 0 + 2*g**f + 3*g**2.
g*(g - 1)**2*(4*g - 1)/2
Let a = 3/139 + 124/695. Factor 0*s**4 + 0*s**2 + a*s**3 + 0*s - 1/5*s**5 + 0.
-s**3*(s - 1)*(s + 1)/5
Let r be (15/6)/(4/16*2). Let l(z) be the first derivative of 2/3*z**3 + 1 - 2*z - z**4 + 0*z**r + 3/2*z**2 + 1/6*z**6. What is o in l(o) = 0?
-2, -1, 1
Let d(r) = r**2 + r - 1. Let c(s) = s - 9. Let k be c(6). Let h be d(k). Determine x so that 0*x**2 + 2/3*x**h + 2/3*x + 0 - 4/3*x**3 + 0*x**4 = 0.
-1, 0, 1
Let m = -149804/3505 + -42/701. Let w = m - -43. Suppose -2/5*l**2 - w*l**3 + 2/5 + 1/5*l = 0. Calculate l.
-2, -1, 1
Let w be 6/(-9)*150/(-4). Suppose z - 5 = 3*b, -2*b + 0 = -5*z + w. Factor 0*i - 2/5*i**2 + b.
-2*i**2/5
Let s(c) be the second derivative of -c**7/42 + c**5/20 - 2*c. Determine v, given that s(v) = 0.
-1, 0, 1
Let y = -119 - -122. Let x(h) be the second derivative of -6*h**2 - 18*h**y + 0 - 189/10*h**5 - 109/4*h**4 - 4*h - 49/10*h**6. Suppose x(z) = 0. Calculate z.
-1, -2/7
Let j(k) be the first derivative of 6*k**5/25 + k**4/5 - 6*k**3/5 + 8*k/5 + 7. Suppose j(x) = 0. Calculate x.
-2, -2/3, 1
Let s(a) be the third derivative of 5/48*a**4 - 1/6*a**3 + 0*a - 2*a**2 + 11/120*a**5 + 0 + 1/60*a**6. Determine u, given that s(u) = 0.
-2, -1, 1/4
Factor 10/3*q**3 - 2/3*q**2 - 8/3 - 16/3*q + 2/3*q**4 - 2/3*q**5.
-2*(q - 2)**2*(q + 1)**3/3
Let i(v) be the second derivative of 5*v**4/12 - 5*v**3 + 45*v**2/2 - 16*v. Determine g so that i(g) = 0.
3
Let g(i) be the first derivative of i**5/20 + 3*i**4/8 + i**3 - 3*i**2 + 3. Let z(k) be the second derivative of g(k). Factor z(x).
3*(x + 1)*(x + 2)
Let b(y) = -74*y**4 + 45*y**3 + 29*y**2 - 11*y - 11. Let f(c) = -25*c**4 + 15*c**3 + 10*c**2 - 4*c - 4. Let p(o) = 4*b(o) - 11*f(o). Factor p(v).
-3*v**2*(v - 1)*(7*v + 2)
Let d(h) = 4*h**2 + h - 3. Let p(n) = 16 - 21*n**2 + 2*n + 5*n - 13*n. Let m(g) = -11*d(g) - 2*p(g). Solve m(i) = 0.
-1/2, 1
Let m(f) be the first derivative of f**6/360 - f**5/180 - 3*f**2/2 + 3. Let c(z) be the second derivative of m(z). Let c(n) = 0. Calculate n.
0, 1
Let b(m) be the second derivative of 0*m**3 + 0 + 0*m**5 - 1/7*m**2 - 1/105*m**6 + m + 1/21*m**4. Solve b(p) = 0 for p.
-1, 1
Let d(a) be the second derivative of 7/40*a**5 - 4/21*a**7 - 3*a + 0 - 2/15*a**6 + 0*a**2 - 1/24*a**4 + 0*a**3. Factor d(v).
-v**2*(v + 1)*(4*v - 1)**2/2
Factor -1/4*r**2 - 5/4*r + 0.
-r*(r + 5)/4
Let t be 8/(-20) - 82/(-5). Suppose t = 3*u + 4. Factor 8/3*a**4 + 8/3*a**2 + u*a**3 + 0 + 2/3*a**5 + 2/3*a.
2*a*(a + 1)**4/3
Let y(x) = -x**3 - 12*x**2 + 12*x - 12. Let p be y(-13). Let d be (1 - 1)*(p + -2). What is j in d + 2/7*j**2 + 0*j = 0?
0
Let y = -5 - -10. Let p = y + -1. Suppose -2 + 0*b**2 + 0 + p*b - 2*b**2 = 0. Calculate b.
1
Let n(h) be the first derivative of -h**6/2 + 3*h**4/2 - 3