e of q(n). Factor m(y).
4*y**2*(y - 1)**2*(y + 2)/3
Let c(v) be the third derivative of 1/210*v**5 + 0 + v**2 + 0*v + 0*v**4 + 0*v**6 + 0*v**3 - 1/735*v**7. Solve c(b) = 0.
-1, 0, 1
Let h be (2/7 + 51/238)*0*-1. Solve h - 22/7*p**2 - 4/7*p = 0.
-2/11, 0
Let k be -10 + 1488/150 - (-1)/(25/42). Factor 2*u**2 + 4/5*u + 2/5*u**4 + 0 + k*u**3.
2*u*(u + 1)**2*(u + 2)/5
Let j be (4/(-14))/(3312/(-9660)). Factor 2/3 + 1/6*x**2 + j*x.
(x + 1)*(x + 4)/6
What is f in -32/19 - 12/19*f + 2/19*f**2 = 0?
-2, 8
Let m(z) = 3*z**5 - z**4 - 4*z**3. Suppose 4*p + 5 = 5*p. Suppose -4*f = f + p. Let s(l) = -l**4 - l**3. Let i(j) = f*m(j) + s(j). Find h, given that i(h) = 0.
-1, 0, 1
Let i(k) be the third derivative of 0*k + 0 + k**3 - 1/80*k**6 - 1/2*k**4 + 1/8*k**5 - 14*k**2. Suppose i(n) = 0. What is n?
1, 2
Let b be (-1 - -3) + 36*-1. Let w be (-16)/(-14) - 1 - b/56. Suppose -w*k**2 + 3/4*k**4 + 3/4*k**3 + 0 - 3/4*k = 0. What is k?
-1, 0, 1
Let g(f) = f + 6. Let w be g(-3). Suppose -c = -w - 0. Let y(r) = 3*r**2 - 18*r + 24. Let m(n) = 1. Let a(q) = c*m(q) + y(q). Factor a(k).
3*(k - 3)**2
Let l(j) be the second derivative of -j**9/1008 + j**8/560 + 2*j**3/3 - 2*j. Let h(m) be the second derivative of l(m). Find f such that h(f) = 0.
0, 1
Let p(f) = -2*f**4 - 4*f**3 + 8*f**2 + 4*f - 5. Let l(r) = 6*r**3 - r**2 + 4 - 1 + r - 2 + r**4 - 7*r**3. Let v(d) = l(d) - p(d). Factor v(w).
3*(w - 1)**2*(w + 1)*(w + 2)
Factor 70*i**2 - 580*i + 215*i + 5*i**3 + 290*i.
5*i*(i - 1)*(i + 15)
Determine c so that 6*c - 88/15 - 2/15*c**2 = 0.
1, 44
Let a(t) be the second derivative of -t**6/10 - 21*t**5/20 - 15*t**4/4 - 13*t**3/2 - 6*t**2 - 223*t. Determine k so that a(k) = 0.
-4, -1
Let m be (28 + -30)*(-2)/8. Factor 0 - 3/2*i**2 + 0*i + m*i**3.
i**2*(i - 3)/2
Let y(x) be the second derivative of x**7/28 - 33*x**5/40 + 3*x**4/4 + 7*x**3 - 18*x**2 - 88*x. Solve y(s) = 0.
-3, -2, 1, 2
Let y(i) be the first derivative of i**4/14 - 2*i**3/7 + 3*i**2/7 - 2*i/7 + 44. Factor y(c).
2*(c - 1)**3/7
Let m = -3087 - -3090. Factor 0 + 1/2*o**m - 1/2*o**4 - 1/2*o + 1/2*o**2.
-o*(o - 1)**2*(o + 1)/2
Let j(l) be the second derivative of -l**6/165 - 7*l**5/55 - 61*l**4/66 - 28*l**3/11 - 36*l**2/11 + 47*l. Factor j(w).
-2*(w + 1)**2*(w + 6)**2/11
Let f(z) be the second derivative of -z**5/40 + 163*z**4/24 - 1640*z**3/3 - 1681*z**2 + 807*z. Let f(v) = 0. What is v?
-1, 82
Let c(s) = -5*s**2 + 16*s - 5. Let t(i) = -70*i**2 + 225*i - 70. Let n(j) = -85*c(j) + 6*t(j). Factor n(x).
5*(x - 1)**2
Let x = 15 - 11. Suppose -23 = -x*y + 45. Factor 78*a**2 + 6*a**5 + 1 + 74*a**3 + 7 - y*a**4 + 31*a**4 + 20*a**4 + 40*a.
2*(a + 1)**3*(a + 2)*(3*a + 2)
Suppose -3*k + 5*h + 1 = 0, -2*h - h - 12 = 2*k. Let n = 6 + k. Factor 0*v**3 - 3*v**3 - n*v**3 - 3*v**4 - v**2 + 3*v**3 - v**5.
-v**2*(v + 1)**3
Suppose -19 = -20*w + 21. Let o be (-5)/(-6) - (-10)/15. Factor -o*m**3 + m**w + 0*m + 0.
-m**2*(3*m - 2)/2
Let k(w) be the third derivative of 11*w**6/480 + 17*w**5/60 + 37*w**4/32 + 3*w**3/4 + 74*w**2 + 4. Let k(f) = 0. Calculate f.
-3, -2/11
Find k such that 124/7*k**3 + 92/7*k - 16/7*k**4 + 40/7 - 240/7*k**2 = 0.
-1/4, 1, 2, 5
Let m(o) = o**2 + o. Let z(x) = 4*x**3 - 6*x**2 - 42*x - 48. Let v(c) = 8*c - 39. Let k be v(5). Let t(w) = k*z(w) + 10*m(w). Let t(d) = 0. Calculate d.
-2, 3
Let p(a) be the second derivative of 3/20*a**5 - 108*a**2 - 7/2*a**4 + 0 + 30*a**3 - 19*a. Factor p(f).
3*(f - 6)**2*(f - 2)
Let x(a) = 3*a**4 + 3*a**2 + 6*a + 18. Let k(g) = 5*g**4 + 6*g**2 + 11*g + 33. Let h(q) = 6*k(q) - 11*x(q). Suppose h(l) = 0. Calculate l.
-1, 0, 1
What is y in -2*y**2 - 62 - 18307*y + 18237*y - 70 = 0?
-33, -2
Let x(n) = -3*n**3 - 64*n**2 + 19*n + 60. Let l(y) = y**3 + 19*y**2 - 6*y - 20. Let m(a) = -21*l(a) - 6*x(a). Factor m(h).
-3*(h - 2)*(h + 2)*(h + 5)
Let g(t) be the third derivative of t**7/105 - 13*t**6/15 + 338*t**5/15 - 147*t**2. Determine u so that g(u) = 0.
0, 26
Let b(z) be the second derivative of z**4/132 - z**3/66 - 16*z - 2. Factor b(k).
k*(k - 1)/11
Let b(s) be the second derivative of -s**7/84 + 19*s**6/60 - 18*s**5/5 + 68*s**4/3 - 256*s**3/3 + 192*s**2 + 14*s + 8. Factor b(y).
-(y - 4)**4*(y - 3)/2
Let l(m) = 31*m - 1576. Let t be l(51). Let 0 - 2/7*h**t + 0*h + 0*h**2 + 0*h**3 + 2/7*h**4 = 0. Calculate h.
0, 1
Let z(o) be the third derivative of 1/15*o**5 + 2/11*o**4 + 3/11*o**3 + 1/1155*o**7 + 0 + 0*o + 13*o**2 + 2/165*o**6. Suppose z(b) = 0. What is b?
-3, -1
Let s be -19*(-1 - 1 - -3). Let y = s + 21. Let y*d**2 - 12*d - 4*d**3 - 14*d**2 + 7 - 11 = 0. Calculate d.
-1
Let q(l) be the third derivative of l**6/360 - l**5/180 - 17*l**4/72 - 5*l**3/6 + 179*l**2. What is p in q(p) = 0?
-3, -1, 5
Let h = -431687/280 + 23116/15. Let j = -1/168 - h. Factor 1/3*r**4 - 1/3*r**5 - 5/3*r**2 + j*r + 0 + r**3.
-r*(r - 1)**3*(r + 2)/3
Let j(h) be the third derivative of 0 + 2/3*h**3 - 1/12*h**4 + 1/60*h**6 - 1/15*h**5 - 13*h**2 + 0*h. Find s, given that j(s) = 0.
-1, 1, 2
Let s = -22 + 25. Let i(m) be the third derivative of -1/480*m**6 + 1/96*m**4 - 7*m**2 + 0 + 0*m**s + 0*m**5 + 0*m. Factor i(l).
-l*(l - 1)*(l + 1)/4
Let x be (-3 + 628/(-220))/(-4). Let y = x - -2/55. Suppose y*b**2 + 1/2 - 1/2*b**3 - 3/2*b = 0. Calculate b.
1
Let j(i) = -76*i + 646. Let x(k) = k**2 + 78*k - 645. Let c(q) = 3*j(q) + 2*x(q). Determine w, given that c(w) = 0.
18
Suppose -3*i - 5*f = -8 - 4, 0 = 2*f - 6. Let k(u) = -u**3 - 1. Let s be k(i). Factor s*r**2 - 2/13*r**3 + 0*r + 0.
-2*r**3/13
Let d(n) = -2*n**4 + 5*n**3 - 17*n**2 + 5*n + 10. Let z(q) = q**4 - 2*q**3 + 9*q**2 - 3*q - 6. Let y(o) = 3*d(o) + 5*z(o). Factor y(l).
-l**2*(l - 3)*(l - 2)
Let r(f) be the third derivative of -f**7/735 + 23*f**6/420 + f**5/210 - 23*f**4/84 - 2*f**2 - 134. Solve r(m) = 0 for m.
-1, 0, 1, 23
Let f(p) be the second derivative of 0 - 1/84*p**4 + 9*p - 1/420*p**6 - 1/105*p**5 + 3/2*p**2 + 0*p**3. Let c(m) be the first derivative of f(m). Factor c(k).
-2*k*(k + 1)**2/7
Let p(a) = a**2 + a - 4. Let x = 17 - 1. Suppose n = -2*i, x = 4*i + 4. Let h(y) = -2*y**2 - 2*y + 9. Let q(j) = n*h(j) - 15*p(j). Factor q(r).
-3*(r - 1)*(r + 2)
Let p(j) = -68*j**2 - 1088*j - 996. Let r(l) = -14*l**2 - 218*l - 199. Let f(w) = 5*p(w) - 24*r(w). Factor f(a).
-4*(a + 1)*(a + 51)
Suppose 0 = 63*r + 17*r - 11*r. Solve r*d + 4/7*d**3 + 0*d**2 - 4/7*d**4 + 0 = 0 for d.
0, 1
Let b = -9 - -19. Determine u so that -2*u**5 + 5*u**3 - 5*u**5 - 3*u**5 + 10*u**4 - b*u**2 + 5*u**5 = 0.
-1, 0, 1, 2
Let m(t) be the second derivative of t**7/840 + t**6/240 - 2*t**4/3 - 8*t. Let z(d) be the third derivative of m(d). Solve z(c) = 0 for c.
-1, 0
Suppose 0 = g + o - 7, -g + 3*g + 6 = 3*o. Suppose s - j - 2*j = 2, 0 = -g*j. Find n, given that -s*n + 4*n - 30*n**3 - 12*n + 25*n**2 + 5*n = 0.
0, 1/3, 1/2
Factor -121/3 - 22/3*p - 1/3*p**2.
-(p + 11)**2/3
Let q(o) be the first derivative of o**3/2 + 99*o**2/2 + 3267*o/2 - 152. Let q(u) = 0. What is u?
-33
Factor 21*k - 16*k**2 + 4*k**3 + 15*k - 24*k.
4*k*(k - 3)*(k - 1)
Find a such that -12/5*a + 51/5*a**3 + 54/5*a**4 + 0 + 0*a**2 + 3*a**5 = 0.
-2, -1, 0, 2/5
Let w(u) = u**2 - 1. Let f(d) = 5*d**2 - 21*d**2 + 8 - 32*d - 30 - 2*d**3. Let p(q) = 2*f(q) + 4*w(q). Factor p(v).
-4*(v + 2)**2*(v + 3)
Let y(j) be the third derivative of 49*j**6/1500 - 14*j**5/75 - 52*j**4/75 - 64*j**3/75 + 126*j**2. Solve y(o) = 0.
-4/7, 4
Let g(o) be the third derivative of -o**6/720 - o**5/72 - o**4/18 - o**3/9 + o**2 + 11. Factor g(p).
-(p + 1)*(p + 2)**2/6
Find i such that -2/5*i**3 - 22/5*i + 12/5 + 12/5*i**2 = 0.
1, 2, 3
Suppose -2*t + 2*h = -4, 6*h = -5*t + 2*h + 28. Find b such that 0 + 2/3*b**t + 8/3*b**3 + 8/3*b**2 + 0*b = 0.
-2, 0
Let m = -12075 + 12077. Factor 6/5*c**4 + 12/5 - 18/5*c**m + 6/5*c**3 - 6/5*c.
6*(c - 1)**2*(c + 1)*(c + 2)/5
Let k(w) be the first derivative of 12 + 20*w + 5/4*w**4 - 5*w**3 + 0*w**2. Suppose k(g) = 0. What is g?
-1, 2
Factor -10*l - l**2 - 30*l**2 + 35*l**3 + l**2 + 23*l + 7 - 21*l**2 - 4*l**4.
-(l - 7)*(l - 1)**2*(4*l + 1)
Solve -24*a**5 + 0*a**4 + 24*a - 4*a**4 + 28*a**3 + 52*a**2 + 20*a**5 = 0.
-2, -1, 0, 3
Let a(m) be the first derivative of -m**5/15 - 23*m**4/12 + 79*m**3/9 + 23*m**2/6 - 26*m + 557. Suppose a(x) = 0. Calculate x.
-26, -1, 1, 3
Factor 5/3 - 5/2*m + 5/6*m**2.
5*(m - 2)*(m - 1)/6
Suppose 2/7*v**2