2 - t + 4*w**2 = 0.
-2/3
Let v(k) = -k**4 + k**3 - k**2 - 1. Let h(l) = -8*l**2 + 10*l - 6. Let i(r) = h(r) - 2*v(r). Factor i(g).
2*(g - 1)**3*(g + 2)
Let m(f) = 7*f**3 - f - 4. Let h(w) = 8*w**3 - 4. Let j(d) = -3*d - 1. Let p be j(-2). Let q(o) = p*h(o) - 6*m(o). Factor q(c).
-2*(c - 2)*(c + 1)**2
Let a(c) be the first derivative of -3*c**5/20 + 3*c**4/16 + c**3/4 - 3*c**2/8 + 27. Determine p so that a(p) = 0.
-1, 0, 1
Factor -3/2*w**5 - 3*w**4 + 0*w**3 + 3/2*w + 3*w**2 + 0.
-3*w*(w - 1)*(w + 1)**3/2
Let a = -2 - -6. Suppose b + 0*b = a. Solve 1/4*p**5 - 5/2*p**2 - 1/4 - 5/4*p**b + 5/4*p + 5/2*p**3 = 0.
1
Let p(w) be the second derivative of w**5/50 - w**4/30 - 10*w. Determine c so that p(c) = 0.
0, 1
What is a in -3/4 - 15/4*a**3 - 33/4*a**2 - 21/4*a = 0?
-1, -1/5
Let p(q) = -55*q**5 + 20*q**4 - 5*q**3 + 5*q**2 - 5*q. Let w(t) = -27*t**5 + 10*t**4 - 2*t**3 + 2*t**2 - 2*t. Let f(s) = -2*p(s) + 5*w(s). Factor f(h).
-5*h**4*(5*h - 2)
Let u(g) = -4*g**4 + 8*g - 24*g**3 + 11*g + 15*g**2 + 16*g**3. Let z(m) = -2*m**4 - 4*m**3 + 8*m**2 + 10*m. Let d(s) = -6*u(s) + 11*z(s). Factor d(v).
2*v*(v - 1)*(v + 1)*(v + 2)
Let r(s) be the first derivative of 4/3*s**2 + 2 + 49/18*s**4 + 28/9*s**3 + s. Let n(l) be the first derivative of r(l). Factor n(i).
2*(7*i + 2)**2/3
Let d(p) = 3*p**5 + 21*p**4 + 5*p**3 - 11*p**2 - 13*p. Let z(h) = -4*h**5 - 32*h**4 - 8*h**3 + 16*h**2 + 20*h. Let t(k) = -8*d(k) - 5*z(k). Factor t(u).
-4*u*(u - 1)*(u + 1)**3
Let w(q) be the first derivative of 1/4*q**4 - 2*q + 5/2*q**2 - 4 - 4/3*q**3. Factor w(s).
(s - 2)*(s - 1)**2
Let c(u) = -u**2 + 1. Let n(o) = 7*o**3 + 15*o**2 + 4*o + 1. Let x(r) = c(r) - n(r). Factor x(k).
-k*(k + 2)*(7*k + 2)
Let g(o) be the third derivative of o**6/1260 - o**5/210 + o**4/84 - o**3/6 - o**2. Let q(l) be the first derivative of g(l). Factor q(p).
2*(p - 1)**2/7
Let d be -2 + 1 - 0 - -3. Solve -1 - 4*a - d*a**2 - 1 + 2 = 0.
-2, 0
Let n(l) be the third derivative of -l**5/45 + 2*l**4/9 + 10*l**3/9 + l**2 - 15. Determine q, given that n(q) = 0.
-1, 5
Let n(y) be the second derivative of -y**6/105 + 2*y**5/35 - 2*y**4/21 + 5*y. Let n(g) = 0. What is g?
0, 2
Find o such that -15/2*o**2 + 24 + 57*o = 0.
-2/5, 8
Suppose -5*c = c + c. Let -j**3 + 0*j + c + 1/2*j**4 + 1/2*j**2 = 0. What is j?
0, 1
Let k(o) be the second derivative of 1/5*o**6 - 2/3*o**3 + 1/21*o**7 - 1/2*o**4 + 1/10*o**5 + 0 - 2*o + 0*o**2. Suppose k(j) = 0. Calculate j.
-2, -1, 0, 1
Let c(g) be the first derivative of -2*g**3/21 - 6*g**2/7 - 10*g/7 + 35. Factor c(w).
-2*(w + 1)*(w + 5)/7
Let s(d) = -1. Let j(w) = -3*w**3 - 12*w**2 - 12*w + 3. Let h(a) = j(a) + 3*s(a). Factor h(k).
-3*k*(k + 2)**2
Let u(o) = -10*o**2 - 10*o. Suppose 5*f - 30 = i, f + 3*i - 27 = -i. Let h(l) = 3*l**2 + 3*l. Let j(q) = f*h(q) + 2*u(q). Determine b, given that j(b) = 0.
-1, 0
Find m, given that 2*m - 9/4 + 1/4*m**2 = 0.
-9, 1
Let f(b) be the third derivative of -1/525*b**7 - 4/15*b**3 + 1/50*b**5 + 3*b**2 + 0*b - 1/150*b**6 + 1/15*b**4 + 0. What is k in f(k) = 0?
-2, 1
Let a(c) = -c**3 + 15*c**2 - 2*c + 30. Let r be a(15). Suppose r + 1/3*p**3 + p**4 + 0*p + 0*p**2 - 4/3*p**5 = 0. What is p?
-1/4, 0, 1
Let a = -6 - -10. Let h**2 + h**3 + 20*h**4 - h**5 - a*h**3 - 17*h**4 = 0. Calculate h.
0, 1
Let a be (7/21 + (-2)/4)*-4. Find y such that -32/3*y**5 + 80/3*y**4 - 10/3*y**2 + a - 50/3*y**3 + 10/3*y = 0.
-1/4, 1
Let u(n) be the second derivative of -6*n + 0*n**2 - 1/10*n**3 + 0 - 1/20*n**4. Find x, given that u(x) = 0.
-1, 0
Let a(i) be the second derivative of i**7/147 - i**6/105 - 3*i**5/35 - i**4/21 + 5*i**3/21 + 3*i**2/7 - i. Factor a(n).
2*(n - 3)*(n - 1)*(n + 1)**3/7
Solve -20/3*f**5 + 4/3 - 22/3*f**2 + 26/3*f**3 + 6*f**4 - 2*f = 0 for f.
-1, -1/2, 2/5, 1
Let z(o) be the second derivative of -3*o**4/20 - o**3/2 - 3*o**2/5 - 3*o. Factor z(f).
-3*(f + 1)*(3*f + 2)/5
Let f be 18/54 + 5/3. Let u be ((-20)/(-25))/(f/10). Let 572/5*o**2 + 16/5 + 518/5*o**3 + 168/5*o - 588/5*o**u - 686/5*o**5 = 0. What is o?
-1, -2/7, 1
Let j(g) = g**2 + g + 1. Let v(l) = 4*l - 1. Suppose 0 = -3*i - 0*i - 6. Let w(z) = i*v(z) + 2*j(z). Determine h so that w(h) = 0.
1, 2
Let t be 12/(-9)*6/(-4). Factor m + 5*m**2 - 2*m**t + 2*m + 0*m**2.
3*m*(m + 1)
Suppose 3*s = -2*s + 10. Suppose 5*g + 3*a = 12, 4*g - s*a + 1 = -7. Factor g*v + 6/5*v**3 + 2/5*v**2 + 6/5*v**4 + 2/5*v**5 + 0.
2*v**2*(v + 1)**3/5
Let o be (-1 - 409/(-207)) + (-284)/3266. Factor 2/9*t**2 - 8/9*t - o + 2/9*t**3.
2*(t - 2)*(t + 1)*(t + 2)/9
Let s(c) = -c**2 - 3*c. Let o(f) = -f**2 - 2*f. Let h(p) = -4*o(p) + 3*s(p). Factor h(n).
n*(n - 1)
Let j = -98 + 44. Let x = -215/4 - j. Factor x*t + 0 - 1/4*t**3 + 0*t**2.
-t*(t - 1)*(t + 1)/4
Let n = -11942/585 - -184/9. Let y = 59/195 + n. Solve 0 + y*o + 1/3*o**2 = 0 for o.
-1, 0
Suppose 8*k + 30 = 13*k. Let c be (-2)/k + (-3)/(-9). Solve 0 - 1/4*s**2 + 0*s**3 + c*s + 1/4*s**4 = 0 for s.
-1, 0, 1
Let o(d) be the second derivative of -d**4/20 + 3*d**2/10 - 2*d. Determine f, given that o(f) = 0.
-1, 1
Let v(q) be the first derivative of q**8/3640 - q**7/1365 + q**6/2340 - 4*q**3/3 - 6. Let p(j) be the third derivative of v(j). Find r such that p(r) = 0.
0, 1/3, 1
Let l(t) be the first derivative of t**6/3 - 4*t**5/5 + 4*t**3/3 - t**2 - 52. Determine y, given that l(y) = 0.
-1, 0, 1
Let o(c) = 2*c**4 - 7. Let r(a) be the third derivative of -a**7/210 + a**3/2 - a**2. Let f(h) = 3*o(h) + 7*r(h). Suppose f(b) = 0. Calculate b.
0
Find c such that 23*c**2 + 2 - 10*c**2 + 4*c + 13*c - 2*c = 0.
-1, -2/13
Let u = 2699/8 - 8457/20. Let v = 735/8 + u. Solve -v*q + 8/5 + 2*q**2 + 10*q**3 = 0 for q.
-1, 2/5
Factor 0*i**3 + 0*i**2 + 2/5*i**4 + 0 + 0*i.
2*i**4/5
Suppose -4 = o - 5, -4*o = 3*z - 19. Let g be (-4)/(-6)*1 + 0. What is h in 0 + 2/9*h**z + g*h**3 + 0*h - 2/9*h**2 - 2/3*h**4 = 0?
0, 1
Let f(n) be the second derivative of n**5/80 - n**4/24 + 8*n. Factor f(c).
c**2*(c - 2)/4
Let o be ((-1)/3)/(1/(-41)). Let k = o - 13. Let 0 - k*c**2 + 0*c + 0*c**3 + 2/3*c**4 = 0. What is c?
-1, 0, 1
Find s, given that -100/7*s**2 + 324/7*s**4 - 48/7*s + 20*s**5 + 16/7 + 148/7*s**3 = 0.
-1, 2/7, 2/5
Let -12/11*d**4 + 6/11 - 18/11*d**3 + 6/11*d**2 + 18/11*d = 0. What is d?
-1, -1/2, 1
Let s(l) be the first derivative of -1/12*l**6 - 1 + 0*l + 3/8*l**4 + 1/2*l**2 - 1/10*l**5 + 5/6*l**3. Let s(y) = 0. Calculate y.
-1, 0, 2
Let f = 11 + -9. Let u(z) = -z**2 + 1. Let v(a) = 2*a**2 + 3*a - 5. Let o(s) = f*v(s) + 6*u(s). Find n such that o(n) = 0.
1, 2
Let x(b) be the first derivative of 2*b**7/175 + b**6/40 + b**5/100 - b**2 + 1. Let i(m) be the second derivative of x(m). Suppose i(f) = 0. Calculate f.
-1, -1/4, 0
Let q(t) be the first derivative of t**6/18 - 7*t**5/15 + 4*t**4/3 - 8*t**3/9 - 8*t**2/3 + 16*t/3 - 6. Factor q(m).
(m - 2)**4*(m + 1)/3
Let d = 14 - 22. Let y be (20/6)/(d/(-12)). Factor -5*z**4 + z + 2*z**2 - 2*z**4 - z**y + 5*z**4.
-z*(z - 1)*(z + 1)**3
Factor -3*t**4 + 27*t**3 + 66*t**2 + 15*t**4 - 60*t**2.
3*t**2*(t + 2)*(4*t + 1)
Let x(s) be the first derivative of -4/21*s**6 - 16/21*s**3 - 3 + 1/7*s**4 + 2/7*s**2 + 2/7*s + 2/5*s**5. What is v in x(v) = 0?
-1, -1/4, 1
Let g be 32/24 + (-6)/9. Factor 2/3*w**2 - g*w + 0.
2*w*(w - 1)/3
Let p(l) be the third derivative of -l**8/448 + l**7/140 + l**6/160 - l**5/40 - 10*l**2. What is c in p(c) = 0?
-1, 0, 1, 2
Suppose 0 = -6*l + 5 + 31. Let f(u) be the second derivative of -1/42*u**4 - 1/147*u**7 + 0*u**3 + 1/105*u**l + u + 0*u**2 + 1/70*u**5 + 0. Factor f(a).
-2*a**2*(a - 1)**2*(a + 1)/7
Let p = 291 + -1155/4. Let p*u - 3/4*u**4 - 3/4*u**2 - 9/4*u**3 + 3/2 = 0. Calculate u.
-2, -1, 1
Suppose t = 3*t - 3*o - 7, t - 2*o - 4 = 0. What is l in 4*l**2 - 3*l**t - 3*l**4 + 2*l**2 = 0?
-1, 0, 1
Let g(v) be the first derivative of -v**7/105 - v**6/48 - v**5/120 - 3*v**2/2 + 3. Let f(d) be the second derivative of g(d). Determine n, given that f(n) = 0.
-1, -1/4, 0
Let a be (-52285)/(-28) - (-7)/28. Let t = 1871 - a. Factor -t*s - 2/7*s**3 + 12/7*s**2 + 16/7.
-2*(s - 2)**3/7
Let x(g) = 4*g**2 + 0 + 2*g - 5*g**2 - g**2 - 2 + g**3. Let t be x(2). Factor 2/5 - 4/5*a**t + 1/5*a - 3/5*a**3.
-(a + 1)**2*(3*a - 2)/5
Determine z so that -6*z - 3/2*z**2 - 9/2 = 0.
-3, -1
Suppose 4*c = -p + 13, p + 4*c = -p + 10. Let m(j) = -j - 1. Let y be m(p). Factor 4*v**