/7. Let y = o - 4294. Solve -6*t**4 + 0 - y*t**3 - 8/7*t**2 + 14*t**5 + 0*t = 0 for t.
-2/7, 0, 1
Let w be 1*-4 + (-600)/(-125). Determine q, given that 2/5*q**2 + 0 - w*q = 0.
0, 2
Solve -2*t + 3*t - 6 + 3*t**2 + 0*t**2 + 2*t = 0.
-2, 1
Let n(a) be the third derivative of a**5/20 - a**3/2 + 4*a**2. Factor n(u).
3*(u - 1)*(u + 1)
Let w(p) be the third derivative of 1/3*p**3 + 0*p - 1/30*p**5 + 1/60*p**6 - 1/12*p**4 + 3*p**2 + 0. Factor w(i).
2*(i - 1)**2*(i + 1)
Let x = -53/2 + 481/18. Let o(v) be the first derivative of 1/3*v**2 + 1 + 0*v + x*v**3. Factor o(g).
2*g*(g + 1)/3
Let u(s) be the first derivative of s**3/3 - s**2/2 - 3*s + 2. Let d be u(3). Find t such that 0*t**2 - 4/3*t + 0 + t**d - 1/3*t**4 = 0.
-1, 0, 2
Let f = 19 + -56/3. Let q(j) = -j. Let w be q(-4). Solve 0*i + 1/3*i**2 - 1/3*i**5 + 1/3*i**3 + 0 - f*i**w = 0.
-1, 0, 1
Find o, given that -3/4*o**2 + 3/4*o**3 - 1/4*o**4 + 0 + 1/4*o = 0.
0, 1
Let b(f) = -f**2 + 6*f - 5. Let g(h) = 3*h + 7. Let a(t) = 4*t + 10. Let v(r) = -5*a(r) + 7*g(r). Let x(w) = b(w) - 4*v(w). Find s such that x(s) = 0.
1
Suppose -5*w = p + 2*p + 5, 3*p + 15 = 0. Let r(j) be the third derivative of -4*j**w + 1/150*j**5 + 0*j**3 + 1/120*j**4 + 0*j + 0. Solve r(g) = 0.
-1/2, 0
Let k(t) = 7*t**3 - 12*t**2 - 3*t + 12. Let r(f) = -15*f**3 + 25*f**2 + 5*f - 25. Let p(l) = -5*k(l) - 2*r(l). Determine h so that p(h) = 0.
-1, 1, 2
Let m(z) = -4*z**2 + 4*z + 3. Let n(r) be the first derivative of -11/2*r**2 - 4 + 11/3*r**3 - 8*r. Let j(d) = 8*m(d) + 3*n(d). Factor j(b).
b*(b - 1)
Suppose -k + 1 = -2*n + n, 4*k - 36 = -4*n. Factor -21*i**n - i**3 + 7*i**2 - i**2 + 16*i**3.
-3*i**2*(i - 1)*(7*i + 2)
Let p(u) be the third derivative of 1/120*u**6 + 0*u**3 + 0 + u**2 + 1/40*u**5 + 1/48*u**4 + 0*u. Factor p(n).
n*(n + 1)*(2*n + 1)/2
Let p = 8 + -4. Determine g, given that 0*g**2 + p*g**2 + 6*g + 9 - 3*g**2 = 0.
-3
Suppose 2*r = -0*r. Suppose 0 = l + l - 6. Factor 2/9*w**l - 2/9*w**2 + r*w + 0.
2*w**2*(w - 1)/9
Let s(f) = -18*f**2 + 27*f + 15. Let x(y) = 19*y**2 - 26*y - 16. Let l(h) = 7*s(h) + 6*x(h). Determine d, given that l(d) = 0.
-1/4, 3
What is o in 3*o**4 + 2*o**4 + 50*o**3 - 10*o**3 + 22*o**2 + 58*o**2 = 0?
-4, 0
Let h(d) be the second derivative of 7*d + 0 + 2/9*d**2 - 1/27*d**4 - 1/27*d**3 + 1/90*d**5. Let h(n) = 0. What is n?
-1, 1, 2
Let w be (-489)/(-12) - (-1)/4. Suppose -5*i + 4*a = -w, -6*a + a + 50 = 5*i. Factor 24*p**2 + 6 + p**3 - 6*p**4 + 12*p - 3*p**5 + 5*p**3 + i*p.
-3*(p - 2)*(p + 1)**4
Suppose -3*w - 3 - 6 = 0. Let j(z) = -6*z**3 - 15*z**2 - 18*z - 9. Let n(y) = 11*y**3 + 30*y**2 + 37*y + 18. Let q(t) = w*n(t) - 5*j(t). Factor q(s).
-3*(s + 1)**2*(s + 3)
Let a(u) be the first derivative of -8*u**4/5 + 112*u**3/15 - 5*u**2 + 6*u/5 - 13. Factor a(z).
-2*(z - 3)*(4*z - 1)**2/5
Suppose 3*p + 0 - 6 = 0. Determine t so that -4/3*t**p - 2/3*t - 2/3*t**3 + 0 = 0.
-1, 0
Factor -2/3 - 5/3*d**3 - 4*d**2 - 3*d.
-(d + 1)**2*(5*d + 2)/3
Let j(y) be the second derivative of -8*y**5/55 + 4*y**4/33 - y**3/33 + y. Factor j(h).
-2*h*(4*h - 1)**2/11
Let w(h) = 5*h**3 + 7*h**2 + 11 + 6*h**3 - 2. Let r(i) = 5*i**3 + 3*i**2 + 4. Let q(t) = 9*r(t) - 4*w(t). Let q(m) = 0. What is m?
0, 1
Let d(h) be the third derivative of h**8/84 - h**6/10 - 2*h**5/15 + 22*h**2. Factor d(w).
4*w**2*(w - 2)*(w + 1)**2
Let q = -25/16 + 289/144. Find t such that -2/9*t**2 - q*t + 2/3 = 0.
-3, 1
Let t(d) = d**3 + 6*d + 11. Let g(j) = -j - 1. Let y(u) = 36*g(u) + 4*t(u). Find n, given that y(n) = 0.
-2, 1
Let z(f) be the second derivative of -f**6/15 + f**5/10 + f**4/2 - f**3/3 - 2*f**2 - 5*f. Factor z(q).
-2*(q - 2)*(q - 1)*(q + 1)**2
Determine a so that 52*a**2 + 7*a - 2*a**4 + 16 + 41*a + 24*a**3 + 5*a**4 + a**4 = 0.
-2, -1
Let u(r) = -r**2 - 1. Let w(c) be the third derivative of c**6/60 - c**5/10 - c**4/3 + 7*c**3/3 - 7*c**2. Let x(s) = 2*u(s) - w(s). Factor x(m).
-2*(m - 2)**2*(m + 2)
Let x(b) = -b + 11. Let t be x(9). Solve -2*w**2 + 6*w**2 - w**3 - w**3 + 0*w**t = 0.
0, 2
Let p = -363 - -366. Suppose -1/3*c**3 + 2*c**2 - p*c + 0 = 0. What is c?
0, 3
Let f(o) = o**3 + 3*o**2 - o + 1. Suppose -4 - 5 = -3*d. Let y(g) = 9*g**2 + 2*g**3 - 2*g**2 - 2*g + g**3 - g**3 + d. Let l(j) = 10*f(j) - 4*y(j). Factor l(t).
2*(t - 1)*(t + 1)**2
Let m be (-52)/(-30) + -2 + 8/12. What is g in -2/5*g**2 - m + 4/5*g = 0?
1
Let q(s) be the third derivative of s**7/105 + s**6/20 + s**5/10 + s**4/12 - 15*s**2. What is p in q(p) = 0?
-1, 0
Suppose -3*x - 10 = 5. Let a(q) = -q - 2. Let i be a(x). Solve 1/2*u**2 + 1/2*u - 1/2*u**i - 1/2 = 0.
-1, 1
Let g(l) be the first derivative of -2*l**3/3 + 6*l**2 - 18*l - 4. Factor g(j).
-2*(j - 3)**2
Suppose -k + 0*k = 0. Let t(u) = 5*u**2 - u**2 + k - u + 0. Let w(r) = -5*r**2 + r. Let x(n) = 6*t(n) + 5*w(n). Factor x(c).
-c*(c + 1)
Let x be ((-2)/8)/(5/(-40)). Factor -4*s**2 - 1/4 + x*s.
-(4*s - 1)**2/4
Let j(v) be the second derivative of v**7/63 - 2*v**6/135 - v**5/9 + 2*v**4/9 - v**3/27 - 2*v**2/9 - 22*v. Let j(w) = 0. Calculate w.
-2, -1/3, 1
Let x(g) be the third derivative of g**8/2184 + g**7/1365 - 3*g**2. Factor x(n).
2*n**4*(n + 1)/13
Let z(o) = 3*o**2 - 8*o - 7. Let u be z(-1). Factor 0*c - 2/9*c**u + 0 + 2/9*c**2 + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/9
Let y = 372 + -372. Suppose 0*i - 4/11*i**4 + y + 2/11*i**5 + 0*i**2 + 2/11*i**3 = 0. What is i?
0, 1
Let l(t) = -3*t**2 + 28*t - 4. Let v be l(9). Let k(i) be the first derivative of i**2 - 1 + 3/2*i**4 + 0*i - 2*i**3 - 2/5*i**v. Suppose k(w) = 0. What is w?
0, 1
Factor -2*h - h - 14*h**2 + 11*h**2.
-3*h*(h + 1)
Let d = 12 - 10. Find z such that -6*z**d + 6*z - 10*z**3 + 13*z**3 - 3*z**2 = 0.
0, 1, 2
Let n(c) be the first derivative of c**4/2 + 2*c**3 + 3*c**2 + 2*c - 15. Factor n(d).
2*(d + 1)**3
Let x(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + 1/240*p**5 + 0*p + 6*p**2. Factor x(c).
c**2/4
Let g(r) = -5*r**3 + 5*r**2 - 2*r - 2. Let n(k) = 35*k**3 - 35*k**2 + 15*k + 15. Let t(l) = 15*g(l) + 2*n(l). Let t(u) = 0. What is u?
0, 1
Suppose 2 = h - 0. Factor 2*r**2 - 3 + 3 + h*r**3 + 2 + 6*r + 4*r**2.
2*(r + 1)**3
Factor 11*b - 13*b - 2*b**2 + 2*b**3 + 2*b**2.
2*b*(b - 1)*(b + 1)
Let g(u) be the first derivative of -u**7/147 - 2*u**6/105 - u**5/210 + u**4/42 - 2*u**2 - 1. Let x(k) be the second derivative of g(k). Factor x(p).
-2*p*(p + 1)**2*(5*p - 2)/7
Let f(r) = -9*r**3 - r**2 - 4*r + 4. Let c(b) = -b**3 - b. Let u(p) = 40*c(p) - 5*f(p). Find o, given that u(o) = 0.
-2, -1, 2
Let s be (-30)/(-9)*(-6)/(-5). Suppose 6*j - 10 = s*j. Factor 2*t**5 + 6*t**j + 4*t**3 + 14*t**4 - t**2 - t**2.
2*t**2*(t + 1)**2*(4*t - 1)
Let k(t) = -2*t**3 + 3*t**2 - 4*t - 3. Let b(p) = p**3 - p**2 + 1. Let j(y) = 3*b(y) + k(y). Factor j(m).
m*(m - 2)*(m + 2)
Let f(z) = -z**5 - 12*z**4 + 21*z**2. Let u(c) be the first derivative of -c**6/6 - 6*c**5/5 + 11*c**3/3 + 2. Let k(j) = -3*f(j) + 5*u(j). Factor k(v).
-2*v**2*(v - 2)**2*(v + 1)
Let j(b) be the first derivative of -b**6/3 - 4*b**5/5 + b**4 + 8*b**3/3 - b**2 - 4*b - 4. Determine q, given that j(q) = 0.
-2, -1, 1
Suppose 14*a = -3*a + 34. Determine y, given that -4/5 - 2/5*y + 2/5*y**3 + 4/5*y**a = 0.
-2, -1, 1
Let c(m) be the second derivative of m**6/60 - m**5/20 - m**4/6 + 2*m**3/3 + 24*m. Factor c(b).
b*(b - 2)**2*(b + 2)/2
Factor 0*t**2 - 4/11*t**3 + 1/11*t**4 + 0 + 0*t.
t**3*(t - 4)/11
Let c(i) be the third derivative of i**8/504 - 2*i**6/45 + i**5/15 + 7*i**4/36 - 2*i**3/3 + i**2. Determine g, given that c(g) = 0.
-3, -1, 1, 2
Let a(f) = 3*f**4 - 4*f**3 + 2*f**2 + 6*f - 5. Let k = -10 + 11. Let r(g) = g**4 + g - 1. Let i(t) = k*a(t) - 2*r(t). Find c, given that i(c) = 0.
-1, 1, 3
Let r(d) = -3*d**2 + 15*d - 6. Let a be r(13). Let m = a - -962/3. Factor -m - 98/3*x**2 + 56/3*x.
-2*(7*x - 2)**2/3
Let b(i) be the third derivative of -i**6/40 + i**5/20 + i**4/8 - i**3/2 + 6*i**2. Factor b(t).
-3*(t - 1)**2*(t + 1)
Let n = 1157 - 8095/7. Factor -4/7*p**5 + 0*p**3 + n*p**4 + 0*p + 0 + 0*p**2.
-4*p**4*(p - 1)/7
Let m(r) be the third derivative of r**7/315 + 6*r**2. Suppose m(p) = 0. What is p?
0
Let c(t) be the first derivative of 3*t**4/10 + 8*t**3/15 + 4*t**2/15 - 8. Find f, given that c(f) = 0.
-2/3, 0
Suppose -4*j + 5*u + 37 = 0, -u = -0*j - 3*j + 14. Factor 6/5*o**j + 6/5*o**2 + 3/5*o**5 - 9/5*o**4 - 9/5*o + 3/5.
3*(o