 49*r = 0. Calculate r.
-17
Let r(o) be the second derivative of -5*o**4/12 - 40*o**3/3 - 160*o**2 + 8*o. Factor r(x).
-5*(x + 8)**2
Suppose -d = -2*o - 18, -2*o = -4*d + 78 + 12. Let g be 12*(-2)/d*-3. Determine a, given that 2/7*a**g + 0*a + 2/7*a**2 + 0 = 0.
-1, 0
Let u(j) be the first derivative of j**5/20 + j**4/16 - j**3/12 - j**2/8 + 8. Find k such that u(k) = 0.
-1, 0, 1
Let v(w) be the first derivative of 1/7*w**2 + 2/21*w**3 + 0*w - 1/14*w**4 - 1 - 2/35*w**5. Determine p so that v(p) = 0.
-1, 0, 1
Let -5/2*i + 0 - 5/2*i**2 = 0. What is i?
-1, 0
Let t be (-11)/(-3) - 6/9. Suppose 0*m = t*m - 9. What is s in 8/7*s - 8/7*s**m - 6/7*s**2 - 2/7*s**4 + 8/7 = 0?
-2, -1, 1
Let x(y) = -y**3 - 4*y**2 + 2*y - 3. Let l be x(-4). Let h be 0/1*l/(-22). Factor 1/2*c**2 - c + h.
c*(c - 2)/2
Let j(q) = 7*q**2 + 13*q + 6. Let t(l) = -8*l**2 - 14*l - 6. Let r(b) = -5*j(b) - 4*t(b). Factor r(v).
-3*(v + 1)*(v + 2)
Let u be 5 - (-2 + 4) - 2. Let z = u - -1. Determine b, given that 0 + 1/4*b**3 + 0*b + 1/4*b**z = 0.
-1, 0
Let t = 213 + -1063/5. Factor -4/5*x + 2*x**2 - t*x**4 + 0 + 2/5*x**5 - 6/5*x**3.
2*x*(x - 1)**3*(x + 2)/5
Let y(k) be the third derivative of k**5/20 + k**4/8 - 9*k**2. Suppose y(p) = 0. Calculate p.
-1, 0
Let j(o) = 5*o**3 + 29*o. Let g(v) = -v**3 - 5*v. Let w(a) = 34*g(a) + 6*j(a). Find z such that w(z) = 0.
-1, 0, 1
Let l be (-1 + 5/2)*(-592)/(-111). Factor -18/5*u**2 - l*u - 8/5.
-2*(u + 2)*(9*u + 2)/5
Let z(x) be the first derivative of 2/9*x**3 - 2/3*x + 1/6*x**4 - 1/3*x**2 + 3. Factor z(j).
2*(j - 1)*(j + 1)**2/3
Suppose 15*f + 5*f**5 + 20*f**3 - 15*f + 20*f**4 = 0. Calculate f.
-2, 0
Let p(b) = b**3 + 3*b**2 + 2*b + 3. Let j be p(-2). Suppose 0 = -3*m - 1 + 16, 0 = -4*t + j*m - 7. Suppose -t*l - 2*l + l**2 + l**2 = 0. What is l?
0, 2
Factor 1 - 7/4*i**2 + 3*i.
-(i - 2)*(7*i + 2)/4
Suppose -28*f - 4 = -30*f. Factor -2/3*v - v**f - 1/3*v**3 + 0.
-v*(v + 1)*(v + 2)/3
Let v(p) = -2*p**2 - 4*p + 2. Let g(q) = 2*q**2 + 5*q - 1. Let b(o) = -4*g(o) - 6*v(o). Factor b(f).
4*(f - 1)*(f + 2)
Let c(l) be the second derivative of -l**7/105 + l**5/10 - l**4/6 + 4*l**2 + 2*l. Let a(d) be the first derivative of c(d). Factor a(i).
-2*i*(i - 1)**2*(i + 2)
Suppose 164 = 5*b + 3*h, -2*b + 8 = -h - 62. Let i = -31 + b. Factor 0 - 3/5*w**4 - 1/5*w**2 + 3/5*w**i + 0*w + 1/5*w**5.
w**2*(w - 1)**3/5
Solve -16/7*w**2 + 16/7 - 4/7*w + 4/7*w**3 = 0.
-1, 1, 4
Let o(i) be the third derivative of i**5/180 + i**4/36 - i**3/6 + 2*i**2. Suppose o(d) = 0. What is d?
-3, 1
Factor 0*h**2 + 0*h + 0*h**3 + 0 - 1/7*h**4.
-h**4/7
Let t(j) be the first derivative of -5*j**3 + 25*j**2 - 15*j - 9. Factor t(l).
-5*(l - 3)*(3*l - 1)
Let i(a) = 4*a**2 - 6*a + 4. Let k(y) = -13*y**2 + 19*y - 13. Let f(x) = 7*i(x) + 2*k(x). Find s such that f(s) = 0.
1
Let t(r) be the third derivative of r**5/40 - 5*r**4/8 + 25*r**3/4 - 2*r**2. Suppose t(j) = 0. What is j?
5
Suppose 4*i - 1 = 2*s - 5, 0 = -5*s + 2*i + 10. Suppose -1/2*b**s - 1 + 3/2*b = 0. Calculate b.
1, 2
Let m = 1018/3 - 335. Determine b, given that -m*b**2 + 2/3*b + 13/3*b**3 + 0 + 28/3*b**4 = 0.
-1, 0, 1/4, 2/7
Let o = -7045 - -2219177/315. Let s(x) be the third derivative of 0*x**3 + 0*x**4 + 1/180*x**6 + 0 + 0*x**5 + 1/504*x**8 - o*x**7 + x**2 + 0*x. Factor s(l).
2*l**3*(l - 1)**2/3
Suppose 12 = q + 3*q. Let r = q - 1. Factor 3*h**3 - 9*h**3 - 1 + 12*h**2 - r*h - 1 - 2*h**2.
-2*(h - 1)**2*(3*h + 1)
Factor u**2 + 2*u**3 - 2 + 4 + 41*u - 3 - 43*u.
(u - 1)*(u + 1)*(2*u + 1)
Let d(q) be the third derivative of q**8/168 - q**7/35 + q**6/30 + q**5/15 - q**4/4 + q**3/3 + 3*q**2. Find p, given that d(p) = 0.
-1, 1
Suppose -5*j + 2*q + 35 = 0, -3*j - q + 10 = -0*q. Suppose -l + j*l + 2*n = 8, 0 = -2*n - 4. Suppose -4/5 - 2/5*o**l + 6/5*o + 0*o**2 = 0. Calculate o.
-2, 1
Let v be 4/6 + (-27)/162. What is b in 5/4*b**4 + 0 + 1/2*b - 5/4*b**2 - v*b**3 = 0?
-1, 0, 2/5, 1
Let a(z) be the first derivative of -4*z**5 + 15*z**4/4 + 5*z**3/3 - 11. Determine p, given that a(p) = 0.
-1/4, 0, 1
Let n(m) = -65*m**3 - 18*m**2 + 11*m. Let f(r) = 33*r**3 + 9*r**2 - 6*r. Let z(s) = 5*f(s) + 3*n(s). Let z(o) = 0. Calculate o.
-1/2, 0, 1/5
Determine o so that -15552/5 - 864*o**2 - 144*o**3 - 2592*o - 12*o**4 - 2/5*o**5 = 0.
-6
Let v(c) be the first derivative of 1/6*c**6 + 6/5*c**5 + 2/3*c**3 - 2 - 8*c - 6*c**2 + 11/4*c**4. Factor v(a).
(a - 1)*(a + 1)*(a + 2)**3
Let n(u) be the second derivative of 5*u**7/63 + 2*u**6/45 - u**5/2 - 8*u**4/9 - 4*u**3/9 + 29*u. What is f in n(f) = 0?
-1, -2/5, 0, 2
Suppose -3*c = -8*c + h + 48, -c - 6 = 5*h. Let p be c/(-18) + 2/4. Determine v, given that 6/5*v**2 + p + 0*v - 21/5*v**3 = 0.
0, 2/7
Let x = -69 - -69. Factor x + 2*p - 4*p**2 - 5/2*p**3.
-p*(p + 2)*(5*p - 2)/2
Let a(k) be the first derivative of -k**6/27 - 4*k**5/15 - 4*k**4/9 + 4*k**3/27 + k**2 + 8*k/9 + 11. Let a(d) = 0. Calculate d.
-4, -1, 1
Suppose 2*r + 36 = -3*u, -5*u - r = -2*r + 60. Let z be (-14)/(-24) - (-3)/u. Let 0 - z*n**2 + 1/3*n = 0. Calculate n.
0, 1
Let b(t) = t**2 - 2*t - 8. Let m(n) be the second derivative of -n**4/12 + n**3/3 + 7*n**2/2 - 6*n. Let i(o) = -4*b(o) - 5*m(o). Factor i(j).
(j - 3)*(j + 1)
Let x(y) be the third derivative of y**7/336 - 13*y**6/960 + y**5/120 + y**4/48 + 12*y**2. Suppose x(q) = 0. Calculate q.
-2/5, 0, 1, 2
Let q(c) be the third derivative of -c**7/630 + c**5/60 - c**4/36 + 6*c**2. Find n such that q(n) = 0.
-2, 0, 1
Let q be (-8)/10*(-6 - -1). Suppose 3*u = 4*w + 32, 0 = 5*w + 2 + 23. Factor -6*a**4 + q*a**2 - a**u - 2*a**2 - 5*a**3.
-a**2*(a + 1)*(7*a - 2)
Let y(o) be the second derivative of 3*o**4 + 0 + 32/15*o**6 - 24/5*o**5 - 6*o - 2/3*o**3 + 0*o**2. Solve y(a) = 0.
0, 1/4, 1
Find i such that 4*i**4 + 12*i**2 + 9*i**3 + 11*i**3 - 29*i - 7*i = 0.
-3, 0, 1
Let l(k) = 10*k**3 + 14*k**2 + 9*k - 1. Let b(y) = -51*y**3 - 70*y**2 - 46*y + 6. Let m = -4 + 6. Let w(u) = m*b(u) + 11*l(u). Suppose w(c) = 0. What is c?
-1, -1/2, -1/4
Let t(z) = -2*z - 6*z + 9*z - 2. Let d be t(6). What is y in 115*y**4 + 12*y**2 + 52*y**5 + 96*y**3 - 9*y**5 + 116*y**d + 104*y**5 = 0?
-1, -2/7, 0
Let q(y) be the first derivative of y**6/960 + y**5/96 + y**4/24 + y**3/12 + 4*y**2 - 6. Let l(n) be the second derivative of q(n). Factor l(s).
(s + 1)*(s + 2)**2/8
Let f(i) = 3*i**2 - 15*i. Let b(x) = x**2 - x + 1. Let k(s) = -6*b(s) + f(s). Let k(n) = 0. Calculate n.
-2, -1
Factor -4/11 - 6/11*r + 10/11*r**2.
2*(r - 1)*(5*r + 2)/11
Let c be 25 - ((-8)/(-2))/(-2). Suppose c = 4*t - t. Factor -t*u**2 + 4*u**4 + 3*u + 8 - 3*u**3 - 2 - u**4.
3*(u - 2)*(u - 1)*(u + 1)**2
Solve -1/2*c**4 - 13/2*c**2 - 6*c - 3*c**3 - 2 = 0.
-2, -1
Factor 28/3*x**3 - 4*x**4 - 4*x**2 - 4*x + 8/3.
-4*(x - 1)**3*(3*x + 2)/3
Let j(l) be the second derivative of 0 - l + 1/12*l**4 - 1/6*l**3 - 1/2*l**2 + 1/20*l**5. Factor j(d).
(d - 1)*(d + 1)**2
Let w be 18/(-63) - ((-64)/(-126))/(-1). Factor -2/9*k + w*k**2 + 0.
2*k*(k - 1)/9
Let x(a) be the first derivative of 3*a**5/5 - 18*a**3 + 243*a + 9. Let x(y) = 0. Calculate y.
-3, 3
Let g(z) be the second derivative of 3*z**5/20 - 7*z**4/4 + 4*z**3 + 24*z**2 + 8*z. Factor g(b).
3*(b - 4)**2*(b + 1)
Let q(x) = -16*x - 75. Let c be q(-5). Factor -1/5*m**2 + 0*m + 3/5*m**3 + 0 - 3/5*m**4 + 1/5*m**c.
m**2*(m - 1)**3/5
Let s(t) = t**2 + 7*t - 8. Let r be s(-8). Let h = r + 2. Factor -1/3 - l**3 + l + 1/3*l**h.
-(l - 1)*(l + 1)*(3*l - 1)/3
Let n be 2/(-10) + 21/5. Suppose -n = -2*p - 0. Let 4*c**5 - 3*c**5 + c**5 - 4*c**3 + p*c = 0. What is c?
-1, 0, 1
Let n(s) = 3*s**2 - 5 - 3 - 11*s**3 + 12*s**3 + 9*s - 12*s**2. Let m be n(8). Let m*c + 2/11*c**2 + 0 = 0. What is c?
0
Let n(g) be the third derivative of -g**6/1020 + g**5/170 + g**4/204 - g**3/17 + 9*g**2. Factor n(i).
-2*(i - 3)*(i - 1)*(i + 1)/17
Suppose -5*v + 15 - 5 = 0. Let o(z) be the first derivative of -1 - 1/4*z**4 - 1/2*z**v + 0*z + 2/3*z**3. Find q such that o(q) = 0.
0, 1
Let j = -4 + 6. Let o(d) = d**3 + 6*d**2 + 2*d - 4. Let n be o(-4). Solve n*s**2 - j*s - 17*s**2 - 7*s = 0 for s.
0, 3
Let r(u) be the second derivative of -u**4/4 + 2*u**3 - 9*u**2/2 - 31*u. Let r(l) = 0. Calculate l.
1, 3
Let j(g) = 5*g**3 - 2*g**2 - g. Let r(n) = 6*n**3 - 2*n**2 - n. Let i(c) = 7*j(c) - 6*r(c). Let i(h) = 0. What is h?
-1, 0
Let x(k) = 15*k**2 - 15*k. Let d(t) = t**2 -