 -70/13*i - 12/13 - 22/13*i**2.
-2*(i + 3)*(11*i + 2)/13
Solve 2/5*f**3 + 64896/5*f - 2249728/5 - 624/5*f**2 = 0 for f.
104
Let o(y) be the second derivative of -1/165*y**6 + 2/11*y**5 - 36*y + 0 + 0*y**3 - 50/33*y**4 + 0*y**2. Determine u so that o(u) = 0.
0, 10
Let d(q) be the first derivative of 2*q**5/15 - 4*q**4/3 + 14*q**3/3 - 22*q**2/3 + 16*q/3 - 23. Factor d(l).
2*(l - 4)*(l - 2)*(l - 1)**2/3
Let w be ((-308)/1617)/(5/((-135)/12)). Factor 3/7*d**3 + w*d**2 - 3/7*d - 3/7.
3*(d - 1)*(d + 1)**2/7
Factor 0 - 2/7*l**2 + 48/7*l.
-2*l*(l - 24)/7
Let x be 14 + ((-1536)/56 - -14). Suppose -2/7*y**4 - x*y**3 + 2/7 + 4/7*y + 0*y**2 = 0. What is y?
-1, 1
Let v be 35/28 - 838/(-8). Let c = v - 526/5. Factor 0 - 2/5*h**5 + 2/5*h - 4/5*h**4 + c*h**2 + 0*h**3.
-2*h*(h - 1)*(h + 1)**3/5
Let a be ((-7)/2 - -3)*-2. Let h(k) = -36 + 0*k**2 + k**2 + k + 16 + 19. Let q(w) = w**3 + 3*w**2 + 4*w + 3. Let i(b) = a*h(b) + q(b). Factor i(j).
(j + 1)**2*(j + 2)
Let k(v) = -80*v - 1438. Let y be k(-18). Factor -1/6*m**3 - 1/3*m**y + 0 + 0*m.
-m**2*(m + 2)/6
Let h = -2869/3960 + 8/11. Let z(b) be the third derivative of 0 - 1/630*b**7 + 0*b**4 + h*b**6 + 0*b**3 + 1/90*b**5 + 0*b - 3*b**2. Factor z(m).
-m**2*(m - 2)*(m + 1)/3
Let g(u) be the third derivative of -u**5/480 + 5*u**4/32 - 29*u**3/48 - u**2 + 167*u. Factor g(q).
-(q - 29)*(q - 1)/8
Let x be 3 + 3149*5/(-5250). Let g(r) be the third derivative of -4*r**2 + 0*r**3 + 0*r**5 + 0*r**4 + x*r**7 + 0*r**6 + 0*r + 0 - 1/1680*r**8. Factor g(k).
-k**4*(k - 1)/5
Factor -13*u - 34*u + 4*u**2 - 4*u - u**2.
3*u*(u - 17)
Let b be (-2 - (-4)/3)*(-6)/14. Factor -b*m**3 - 4/7 + 0*m**2 + 6/7*m.
-2*(m - 1)**2*(m + 2)/7
Factor -10/9*t**3 - 44/9*t**2 + 0 + 10/3*t.
-2*t*(t + 5)*(5*t - 3)/9
Let t(f) be the first derivative of -5*f**4/4 - 5*f**3/3 + 10*f**2 + 20*f + 33. Find s, given that t(s) = 0.
-2, -1, 2
Let a(o) be the third derivative of 0*o + 2/3*o**3 - 1/15*o**5 + 1/6*o**4 - 1/30*o**6 + 10*o**2 + 0. Let a(m) = 0. What is m?
-1, 1
Let w(z) = -2*z - 30. Let v be w(-22). Let x be (4/v)/(1/3). Factor -x*q - 9/7 - 1/7*q**2.
-(q + 3)**2/7
Let t = 573 - 341. Let y = -228 + t. Determine o so that -1/5*o**y - 3/5*o**2 - o + 4/5 + o**3 = 0.
-1, 1, 4
Factor 2/13*i**2 + 12/13*i + 0.
2*i*(i + 6)/13
Factor -137*v + 41*v**2 + 1303*v**2 + 251*v**2 + 29*v + 2 - 137*v**2.
2*(27*v - 1)**2
Let l be 5/(8/4 + -1). Let d be 23/l + 2/5. Factor -6 + 2*v**3 - 3 + 0*v**2 - v**3 + d*v**2 + 3*v.
(v - 1)*(v + 3)**2
Let a(u) be the first derivative of -9/4*u**2 + 1/2*u**3 + 9 + 0*u. Find m, given that a(m) = 0.
0, 3
Let k = -22 + 87. Let c = -62 + k. What is l in 4/5*l - 4/5*l**c - 2/5*l**4 + 0*l**2 + 2/5 = 0?
-1, 1
Let y(n) = -11*n**2 - 978*n - 48999. Let d(m) = 65*m**2 + 5870*m + 293995. Let f(v) = 6*d(v) + 35*y(v). Solve f(b) = 0 for b.
-99
Let g(s) be the first derivative of s**2 + 2/3*s**3 - 10 + 0*s. Let g(h) = 0. What is h?
-1, 0
Let m(n) = -10*n**2 - 23*n + 2. Let x(w) = w + 1. Let j(h) = -m(h) + 3*x(h). Let g = 4 + -9. Let v(l) = l**2 - l + 1. Let p(b) = g*v(b) - j(b). Factor p(i).
-3*(i + 1)*(5*i + 2)
Let x be 4/(-6) + (-17)/(-3). Let y be (-32)/x*(-15)/6. Factor 33*i - y + 5 - 36*i**2 + 5.
-3*(3*i - 2)*(4*i - 1)
Let o(a) be the third derivative of 0*a + 0 + 1/360*a**5 + 1/18*a**3 + 27*a**2 + 1/48*a**4. Solve o(x) = 0.
-2, -1
Let f be ((-13)/(-13))/((-4)/(-6)). Let -f + 0*h + 9/2*h**4 + 9*h**2 + 12*h**3 = 0. Calculate h.
-1, 1/3
Suppose -5*x = -4*x. Suppose x*q = -2*p + q + 3, 3*p - 2 = 2*q. Find h, given that -h**2 - 2*h**3 + 5*h**p + 3*h**3 + h**3 - 6*h**4 = 0.
0, 1
Let k be 6/(-8) + 60/48 - 0. Let h(a) be the first derivative of 0*a + 0*a**2 + 0*a**5 - k*a**4 + 1/3*a**6 + 0*a**3 + 11. Factor h(i).
2*i**3*(i - 1)*(i + 1)
Let g(l) be the second derivative of 1/18*l**6 + 0*l**3 + 0*l**2 + 0 - 17/60*l**5 + 1/6*l**4 - 8*l. Factor g(z).
z**2*(z - 3)*(5*z - 2)/3
Let w(l) = -2*l**3 + 6*l**2 + 2*l - 2. Let b = 16 - 15. Let u(o) = -o**2 - o + 1. Let s(g) = b*w(g) + 2*u(g). Factor s(d).
-2*d**2*(d - 2)
Let k(l) be the third derivative of l**8/3360 + l**7/560 + l**6/240 + l**5/240 - 17*l**3/6 - 4*l**2. Let o(a) be the first derivative of k(a). Factor o(w).
w*(w + 1)**3/2
Let w(k) be the first derivative of -9*k + 1/6*k**3 + 6 + 1/20*k**5 + 0*k**2 + 1/6*k**4. Let x(r) be the first derivative of w(r). Solve x(i) = 0.
-1, 0
What is o in 0*o + 8/9*o**2 - 2/9*o**4 + 0 + 2/3*o**3 = 0?
-1, 0, 4
Let m(q) be the first derivative of 52 - 1/3*q**3 - 1/2*q**2 + 0*q. Factor m(s).
-s*(s + 1)
Determine k so that -60*k**2 - 100*k**3 + 152*k**5 - 71*k**5 - 86*k**5 - 45*k**4 = 0.
-6, -2, -1, 0
Let w(m) be the second derivative of -m**8/3360 - m**7/1260 + m**6/360 + m**5/60 + 23*m**4/12 + 30*m. Let v(l) be the third derivative of w(l). Factor v(f).
-2*(f - 1)*(f + 1)**2
Let y(t) be the third derivative of t**9/6048 - t**8/2688 - t**7/1008 + t**6/288 - 7*t**4/4 + 29*t**2. Let h(q) be the second derivative of y(q). Factor h(g).
5*g*(g - 1)**2*(g + 1)/2
Let m be (-20)/35*7/(-28). Let d be 1 + -1 - 4/(-28). Factor -d*p**3 + m*p - 1/7 + 1/7*p**2.
-(p - 1)**2*(p + 1)/7
Suppose 0 = b + 5*b - 126. Factor -4*y - y**2 + 5*y**2 + b - 21.
4*y*(y - 1)
Let a(o) = -7*o**3 - 2*o**2 + 13*o - 4. Let v(b) = 20*b**3 + 5*b**2 - 38*b + 13. Let h(g) = 17*a(g) + 6*v(g). Let h(y) = 0. What is y?
-2, 1, 5
Let m(u) be the third derivative of u**5/300 + u**4/30 - 32*u**2 + 2. Solve m(x) = 0 for x.
-4, 0
Let d = 48 + -44. Find b, given that 6*b**4 + 12*b**3 - 6*b**d + 0*b - 16*b - 4*b**4 = 0.
-1, 0, 2
Find t, given that 126 - 249*t + 9*t**3 - 5*t**3 + 111*t**2 + 9*t**2 - t**3 = 0.
-42, 1
Let q(z) be the second derivative of z**6/15 - z**5/2 + 4*z**4/3 - 4*z**3/3 + 131*z. Suppose q(f) = 0. What is f?
0, 1, 2
Let v(b) be the second derivative of 16*b + 1/110*b**5 + 1/165*b**6 + 0 - 2/11*b**2 - 5/33*b**3 - 1/22*b**4. Find o such that v(o) = 0.
-1, 2
Let w(t) be the third derivative of t**8/16800 - t**7/525 + 2*t**6/75 - 16*t**5/75 - t**4/6 - 34*t**2. Let x(n) be the second derivative of w(n). Factor x(u).
2*(u - 4)**3/5
Let q(b) be the first derivative of 0*b**2 + 7 + 1/5*b**5 + 2/3*b**3 + 0*b + 3/4*b**4. Factor q(k).
k**2*(k + 1)*(k + 2)
Let n(q) be the third derivative of q**5/20 - q**4 + 176*q**2. Factor n(r).
3*r*(r - 8)
Suppose -2*m = 3*p + 5, -5*m = 2*p - 5*p + 23. Let i be ((0 - -2) + 0)/(6 - p). Factor 2/5*k**5 + 0*k + 2/5*k**2 - i*k**3 - 2/5*k**4 + 0.
2*k**2*(k - 1)**2*(k + 1)/5
Let d be 639/(-6) + 3/2. Let p = d + 529/5. Solve -p*a - 2/5 + 14/5*a**2 - 8/5*a**3 = 0 for a.
-1/4, 1
Let z(a) = 3*a**3 + 4*a**2 + 9*a. Let g(w) = 13*w**3 + 16*w**2 + 39*w. Let x(v) = 4*g(v) - 18*z(v). Suppose x(r) = 0. What is r?
-3, -1, 0
Let q = 2 + 0. Let i = 3/65 + 2/13. Solve 0 - 3/5*s - i*s**q = 0.
-3, 0
Let d be (-8)/(-14) + 140/98. Let p(c) be the second derivative of 0*c**d + 1/210*c**6 - 1/70*c**5 + 4*c - 1/84*c**4 + 0 + 1/21*c**3. Factor p(s).
s*(s - 2)*(s - 1)*(s + 1)/7
Let w = -93 + 99. Suppose -6*u = -4*u - 2, 0 = -4*k + 2*u + w. Factor z + 0 - 1/4*z**k.
-z*(z - 4)/4
Factor 32/9 + 74/9*g**2 + 2/9*g**4 + 8/3*g**3 + 28/3*g.
2*(g + 1)**2*(g + 2)*(g + 8)/9
Let y = -810 - -815. Let g(t) be the third derivative of 1/60*t**y + 0*t + 2/3*t**3 + 0 + 5/24*t**4 + t**2. Solve g(q) = 0.
-4, -1
Let t(q) = -17*q**3 - 144*q**2 - 273*q + 3863. Let w(y) = 8*y**3 + 72*y**2 + 136*y - 1932. Let a(f) = -4*t(f) - 9*w(f). Factor a(j).
-4*(j - 4)*(j + 11)**2
Let -5/3*p**2 - 2/3*p - 1/3*p**3 + 8/3 = 0. What is p?
-4, -2, 1
Let d(l) = 5*l**2 - 35*l - 43. Let r(f) = -1. Let o = 96 - 99. Let v(w) = o*r(w) + d(w). Factor v(a).
5*(a - 8)*(a + 1)
Suppose 0*t - 2 = 3*t + 2*w, 0 = 5*t - 5*w - 5. Find q, given that 3*q + 3*q**2 + 3*q**5 + 25*q**4 - 37*q**4 + 18*q**3 + t*q**5 - 15*q**2 = 0.
0, 1
Let k(b) = b**2 + 5*b + 3. Let a be k(-5). Factor -4*z**a + 4*z**4 + z**3 + 11*z**3.
4*z**3*(z + 2)
Let g(w) be the second derivative of 7*w - 1/20*w**3 + 0 + 0*w**2 - 1/60*w**4 + 1/40*w**5. Factor g(t).
t*(t - 1)*(5*t + 3)/10
Let f(i) be the third derivative of -2*i**7/63 - 119*i**6/45 - 139*i**5/45 + 47*i**4/9 - 171*i**2. Let f(s) = 0. Calculate s.
-47, -1, 0, 2/5
Let v be (5 - -4) + 2*2. Let y = v - 7. Factor 0*z**3 - z**3 - 4*z**2 - 3*z**3 + y*z**3.
2*z**2*(z - 2)
Let x(p) be the first derivative of 22 + 6*p - 1/2*p**6 + 6/5*p**5 + 3/2*p