l**2 - 147*l**2 + 0 - 4.
(l - 2)*(l + 2)
Let y(l) = 3*l**3 + l**2 - 7*l + 3. Let f(w) = -w**3 - w**2 + w - 1. Let b(s) = 4*f(s) + y(s). Determine g so that b(g) = 0.
-1
Suppose 3*f + 6 = 3*u, -4*u - 4*f = -f - 22. Suppose c - 3*n - 3 = 0, -5*c + 4*n = -4*c - u. Find a, given that c*a + 0 + 2/9*a**2 = 0.
0
Let p(u) be the third derivative of -u**5/15 - u**4/3 + 24*u**2. Factor p(r).
-4*r*(r + 2)
Let i = -131/5 - -1451/55. Factor 0 - 2/11*s**2 + i*s.
-2*s*(s - 1)/11
Let d = -20 + 23. Suppose -n**2 + 7*n**2 + n + 2*n - 6*n**3 - 3*n**4 - 3 + d*n**5 = 0. What is n?
-1, 1
Let p(u) be the second derivative of 0*u**2 - 1/3*u**4 + 2/3*u**3 - 2*u + 0. Suppose p(n) = 0. What is n?
0, 1
What is b in 12/7*b + 0 + 0*b**2 + 9/7*b**4 - 3*b**3 = 0?
-2/3, 0, 1, 2
Suppose -16 = -5*r - 2*i + 5, -4*r = -4*i. Factor -33/4*c**r + 0 - 5/2*c**2 - 10*c**4 - 4*c**5 - 1/4*c.
-c*(c + 1)**2*(4*c + 1)**2/4
Suppose 2*g = -4*g + 36. Let h(a) be the third derivative of 2*a**2 + 0*a + 1/150*a**5 - 1/525*a**7 + 0 + 0*a**3 - 1/300*a**g + 1/60*a**4. Solve h(c) = 0.
-1, 0, 1
Let c(r) be the second derivative of 0 - 1/3*r**3 + 0*r**5 - 3*r + r**2 - 1/8*r**4 + 1/120*r**6. Let z(s) be the first derivative of c(s). Factor z(l).
(l - 2)*(l + 1)**2
Let w(f) be the second derivative of 2/21*f**3 + 1/42*f**4 + 1/7*f**2 + 3*f + 0. Suppose w(v) = 0. Calculate v.
-1
Let r(f) be the first derivative of 3*f**5/5 + 3*f**4/2 - 1. Find c such that r(c) = 0.
-2, 0
Suppose -3*c + 25 = 2*c, 50 = 5*z + 5*c. Suppose -2*f = -z*f + 5*h + 19, -2 = 2*f + 4*h. Factor -3/4*q + 1/4 - 3/4*q**4 + 1/2*q**2 + 1/4*q**5 + 1/2*q**f.
(q - 1)**4*(q + 1)/4
Let a(d) be the first derivative of d**4/12 - 2*d**3/3 + 2*d**2 + d + 1. Let n(v) be the first derivative of a(v). Factor n(i).
(i - 2)**2
What is a in -12*a**2 + 7*a**2 + 2*a**2 - 2*a + 2*a**2 = 0?
-2, 0
Solve 9 + 22*s**2 - 14*s**4 - 23*s**3 + 24*s - s**3 - 17 = 0.
-2, -1, 2/7, 1
Let n(u) = u**2 + 4*u - 3. Let c be n(-5). Factor 4*b + 2*b + 21*b**c + 6*b + 3*b - 6.
3*(b + 1)*(7*b - 2)
Suppose 2*s - 20 + 22 = c, 3*s + 3 = -3*c. Factor c*p + 0*p**3 - 1/4*p**4 + 0 + 1/4*p**2.
-p**2*(p - 1)*(p + 1)/4
Determine m, given that 2*m**2 - 7456 - 2*m**4 + 12*m + 7456 - 12*m**3 = 0.
-6, -1, 0, 1
Let y = -23 - -37. Let 0*j**5 - 2*j**3 - 2*j**5 + 2*j - 4*j**2 - 12*j - 2*j**4 + 6 + y*j**3 = 0. What is j?
-3, -1, 1
Suppose -6 = -4*h + h - l, -3*h - 2*l + 6 = 0. Factor 6*d + d**3 - 5*d**h - d**3 - 3*d**4 + 14*d**2.
-3*d*(d - 2)*(d + 1)**2
Suppose -2/7*w**3 + 0*w**2 - 32/7 + 24/7*w = 0. What is w?
-4, 2
Let p(x) = -x**3 + x**2 + x - 2. Let c(i) = -3*i**4 + 9*i**3 + 27*i**2 - 9*i - 30. Let r(k) = -c(k) + 6*p(k). Factor r(s).
3*(s - 6)*(s - 1)*(s + 1)**2
Let p be (-30)/(-3) - (-9 + 15). Let 2*q**3 + 1/2 - q**2 - q**5 + 1/2*q**p - q = 0. Calculate q.
-1, 1/2, 1
Let p(n) be the third derivative of n**10/15120 + n**9/7560 - n**4/3 - 6*n**2. Let b(r) be the second derivative of p(r). Factor b(d).
2*d**4*(d + 1)
Let z(o) be the second derivative of -o**4/66 - 2*o**3/33 + 3*o. Factor z(g).
-2*g*(g + 2)/11
Let h = -1/99 + 4/33. Let x(j) be the third derivative of 0*j**4 + 0*j + 1/21*j**7 - 1/9*j**6 - 1/126*j**8 + 0 + h*j**5 - 2*j**2 - 1/9*j**3. Factor x(f).
-2*(f - 1)**4*(4*f + 1)/3
Let g(y) be the third derivative of y**5/210 - y**4/14 + 3*y**3/7 + 3*y**2. Factor g(z).
2*(z - 3)**2/7
Let w(a) be the first derivative of 0*a - 3 + 0*a**3 - 1/3*a**6 + 0*a**5 + 0*a**2 + 1/2*a**4. Determine c, given that w(c) = 0.
-1, 0, 1
Let h(r) = -3*r**3 + 10*r**2 - 7*r. Let w(p) = 6*p**3 - 21*p**2 + 15*p. Let n(b) = -9*h(b) - 5*w(b). Factor n(o).
-3*o*(o - 4)*(o - 1)
Let n(a) be the second derivative of -a**6/10 + 3*a**5/5 - 9*a. Solve n(r) = 0 for r.
0, 4
Let q(y) be the first derivative of -2*y**3/3 - 12. Factor q(w).
-2*w**2
Let b(s) = s**2 + 1. Let p(k) = -k**3 - 4*k**2 - 4. Suppose g - 2*g = -1. Let z(l) = g*p(l) + 4*b(l). Suppose z(v) = 0. What is v?
0
Suppose 5*k + 2*d - 8 = 0, 5*k + 4*d = 5*d - 4. Let s be (-2)/(-18)*-25 + 3. What is r in 0*r**2 + 0 + k*r - 2/9*r**3 + s*r**4 = 0?
0, 1
Let c(s) be the second derivative of 0 + 1/30*s**4 + 2/15*s**3 + 3*s + 1/5*s**2. Factor c(p).
2*(p + 1)**2/5
Let k(r) be the second derivative of -11/6*r**4 - 8/5*r**5 - 2/3*r**3 - 2*r + 0*r**2 + 0 - 7/15*r**6. Factor k(x).
-2*x*(x + 1)**2*(7*x + 2)
Let s be -1 + 3 + (-39)/(-30). Let q = s - 257/90. Factor -10/9*j**2 + 2/9*j**4 + 0 - q*j + 2/9*j**5 - 2/3*j**3.
2*j*(j - 2)*(j + 1)**3/9
Suppose -v + 9 = b, -v + 3*v - 3*b = -2. Let l(w) be the third derivative of w**2 + 0*w + 0 - 1/30*w**v + 0*w**3 - 1/12*w**4. Factor l(u).
-2*u*(u + 1)
Let l(s) be the second derivative of 5*s**7/42 - s**6/3 + 5*s**4/6 - 5*s**3/6 + 24*s. Suppose l(i) = 0. What is i?
-1, 0, 1
Let o(a) be the first derivative of 3*a**5/5 + 33*a**4/4 + 45*a**3 + 243*a**2/2 + 162*a + 23. What is t in o(t) = 0?
-3, -2
Let -144/11 - 24/11*l - 1/11*l**2 = 0. Calculate l.
-12
Let g(y) be the first derivative of 0*y + 1/10*y**2 + 1/30*y**6 + 0*y**3 + 0*y**5 - 1/10*y**4 + 3. Suppose g(j) = 0. What is j?
-1, 0, 1
Let t = -71/36 - -20/9. Factor 0*k + 0 + 0*k**2 + 1/4*k**3 - t*k**4 - 1/2*k**5.
-k**3*(k + 1)*(2*k - 1)/4
Let o = -27 - -28. Determine k, given that -o + k**2 - 638*k + 4 + 642*k = 0.
-3, -1
Let z(t) = t**2 + 6. Let q be z(0). Factor -q*l**2 - 1 + 8*l**2 - l**3 - 7 + 4*l.
-(l - 2)**2*(l + 2)
Let q(i) be the second derivative of -5*i**4/12 - 55*i**3/3 - 605*i**2/2 - 29*i. Factor q(u).
-5*(u + 11)**2
Let t be ((-6)/4)/(15/(-115)). Let h = -11 + t. Find o such that h*o**5 + 3/2*o**3 + 0 + 0*o + 3/2*o**4 + 1/2*o**2 = 0.
-1, 0
Let z(u) = 1. Let g(a) = -a - 4. Let q(c) = g(c) + 3*z(c). Let s be q(-3). Suppose -1/3*f**s + 2/3*f**3 + 0 - 1/3*f**4 + 0*f = 0. Calculate f.
0, 1
Let z(w) be the first derivative of -w**6/9 + w**5/5 - w**3/9 + 53. Solve z(k) = 0.
-1/2, 0, 1
Let l(t) = -9*t**2. Suppose -2*j + c - 6 = -c, j - 3*c - 1 = 0. Let o(n) = -5*n**2. Let w(u) = j*o(u) + 3*l(u). Factor w(i).
-2*i**2
Let i(n) = 2*n**2 + 4*n + 2. Let b be i(-2). Determine d so that -7*d**3 + 63*d - 55*d + 0*d**2 - 5*d**4 - d**5 + d**b + 4 = 0.
-2, -1, 1
Let g(p) be the third derivative of -p**8/1680 - p**7/150 - 19*p**6/600 - p**5/12 - 2*p**4/15 - 2*p**3/15 + 3*p**2. Determine k so that g(k) = 0.
-2, -1
Let p(o) = -o**4 + o. Let c(d) = 21*d**4 + 3*d**3 - 3*d**2 - 21*d. Let y(q) = c(q) + 18*p(q). Solve y(r) = 0.
-1, 0, 1
Let b = 24 + -21. Let w(h) be the second derivative of -h**2 - 1/6*h**4 + 0 + 2*h + 2/3*h**b. Let w(z) = 0. Calculate z.
1
Let h(o) be the third derivative of -o**7/210 - o**6/120 + o**5/60 + o**4/24 - 11*o**2. Factor h(w).
-w*(w - 1)*(w + 1)**2
Let s(y) be the first derivative of 2*y - 5/6*y**3 + y**2 + 4 - y**4. Let j(x) be the first derivative of s(x). Factor j(g).
-(3*g + 2)*(4*g - 1)
Suppose 0 = -2*c - 10, -6*c = 5*n - c + 10. Suppose -q - 6 = -n*q. Factor 3*f**2 - 3/2 - 3/2*f**4 - 3/2*f + 3*f**q - 3/2*f**5.
-3*(f - 1)**2*(f + 1)**3/2
Solve 0*r**2 + 0 - 1/2*r**3 + 0*r = 0.
0
Let o(c) = 88*c**4 - 85*c**3 - 3*c**2 - 13*c + 13. Let a(z) = 22*z**4 - 21*z**3 - z**2 - 3*z + 3. Let v(i) = 26*a(i) - 6*o(i). Let v(g) = 0. What is g?
-2/11, 0, 1
Solve 2/7*t + 4/7 - 6/7*t**2 = 0 for t.
-2/3, 1
Suppose 12*o**4 + 3*o**4 + 10*o + 5*o**2 - 10*o**3 - 20*o**2 = 0. Calculate o.
-1, 0, 2/3, 1
Let p(n) be the second derivative of -n**6/105 + 2*n**5/35 - 2*n**4/21 + 9*n. Let p(q) = 0. Calculate q.
0, 2
Let b = -40 + 44. Let m(y) be the third derivative of 0*y + 1/300*y**6 - 1/60*y**5 - 1/30*y**3 + 0 + 1/30*y**b + 2*y**2. Let m(l) = 0. What is l?
1/2, 1
Let x be (-32)/(-12) - (-1)/3. Factor -f**2 - f**2 + 4*f**3 + 5*f**x.
f**2*(9*f - 2)
Let w(i) = 5*i**4 - 5*i**2. Let a(z) = z**5 - z**4 + z**3 - z**2. Let o(n) = 5*a(n) - w(n). Factor o(v).
5*v**3*(v - 1)**2
Solve -o**2 - 5*o**2 + 8*o - 9*o + 5*o**2 = 0 for o.
-1, 0
Suppose -2/5*j**2 + 0*j + 18/5 = 0. What is j?
-3, 3
Let s(i) be the second derivative of -2*i**7/273 - i**6/195 + i**5/130 - 47*i. Factor s(b).
-2*b**3*(b + 1)*(2*b - 1)/13
Let s = -5 - -8. Solve 10*h**4 - 72*h**s + 147*h**5 + 47*h**4 + 6*h**4 + 12*h**2 = 0 for h.
-1, 0, 2/7
Let d(o) be the first derivative of -o**3/3 - 11*o**2/4 + 3*o - 31. Factor d(t).
-(t + 6)*(2*t - 1)/2
Let f be 6/((-2)/2)*-1. Find z, given that 10*z**3 - 4*z + 5*z**4 + 2*z**3 + f*z - 4*z**2 + 13*z