 - 5/42*a**7 + 0*a**2 - 5/6*a**4. Determine w, given that u(w) = 0.
-1, 0, 1
Let f be -2*(7 + (-12)/3 + -4). Suppose -7 = -6*w + 3*w - f*d, -5*w + 4*d + 19 = 0. Find t such that 0*t**2 - 1/2*t**w + 3/2*t - 1 = 0.
-2, 1
Let s = 19 - 11. Suppose -30 = -5*p - 5*q, -3*q + s*q + 15 = 4*p. Factor -c**3 - 6*c**3 - 2*c**2 + p*c**3.
-2*c**2*(c + 1)
Let g = -3303 - -3305. Find v such that -24/7*v - 12/7*v**g + 0 + 18/7*v**3 + 15/7*v**4 + 3/7*v**5 = 0.
-2, 0, 1
Let u(r) be the third derivative of r**7/6 - 43*r**6/120 - r**5/25 + 17*r**4/30 - 8*r**3/15 - 147*r**2. Determine g, given that u(g) = 0.
-4/7, 2/5, 1
Let -9 + 417*b**2 - 6*b - 833*b**2 + 415*b**2 = 0. Calculate b.
-3
Let f(r) be the third derivative of -r**8/13440 - r**7/1260 - r**6/360 + r**4/24 + 14*r**2. Let z(g) be the second derivative of f(g). Factor z(y).
-y*(y + 2)**2/2
Factor 1849/4 - 85/4*w**2 - 1763/4*w - 1/4*w**3.
-(w - 1)*(w + 43)**2/4
Let y be 3/(30/80) + -6. Factor -2/3 + u - 1/3*u**y.
-(u - 2)*(u - 1)/3
Let b(y) be the second derivative of 0 - y**2 + 1/6*y**3 + 6*y + 1/12*y**4. Factor b(s).
(s - 1)*(s + 2)
Let d(n) = 3*n**2 - 18*n - 15. Let k(f) = -3 + 1 - 32*f + 33*f + 3. Let b(h) = d(h) + 15*k(h). Factor b(s).
3*s*(s - 1)
Let v be (-2)/(-15) + -8*565/(-2100). Factor -8/7*w**2 - v*w**3 + 36/7 + 4/7*w**4 + 48/7*w.
4*(w - 3)**2*(w + 1)**2/7
Let s = -473 + 476. Let n(m) be the second derivative of -2/7*m**2 + 0 - 5/21*m**s + 1/35*m**5 + 5*m - 1/42*m**4. Factor n(u).
2*(u - 2)*(u + 1)*(2*u + 1)/7
Suppose 5*y - 11*y + 48 = 0. Let -4*u**2 + 3*u + y*u + 69 - 75 - u**3 = 0. Calculate u.
-6, 1
Let r(c) = c - 8. Let h be r(11). Let f = -87 - -90. Factor 0 - f*p**2 + 3/2*p**h + 3/2*p.
3*p*(p - 1)**2/2
Let y(v) = -145*v**3 - 1365*v**2 - 7840*v - 6460. Let d(n) = 11*n**3 + 105*n**2 + 603*n + 497. Let p(z) = -40*d(z) - 3*y(z). Factor p(f).
-5*(f + 1)*(f + 10)**2
Let o(q) be the third derivative of -8*q**2 + 0*q + 0*q**6 + 1/105*q**7 + 0*q**3 + 1/6*q**4 + 0 - 1/10*q**5. Find a such that o(a) = 0.
-2, 0, 1
Let d(v) be the first derivative of -14*v**5/5 + 5*v**4 + 26*v**3 - 18*v**2 - 748. Suppose d(a) = 0. Calculate a.
-2, 0, 3/7, 3
Let j(o) be the second derivative of -3/20*o**5 + 1/2*o**3 - 1/12*o**4 - 3 + o + o**2 - 1/30*o**6. Let j(q) = 0. Calculate q.
-2, -1, 1
Let z = 942 + -942. What is d in -4/3*d**2 - 7*d**4 + 0*d + 16/3*d**3 + 3*d**5 + z = 0?
0, 2/3, 1
Let y be (-24)/((-42)/7) - 1. Let i(v) be the third derivative of 0*v + 0 - 1/12*v**4 + 0*v**y - 4*v**2 + 1/90*v**5. Factor i(j).
2*j*(j - 3)/3
Let m(t) be the first derivative of 2/5*t + 1/20*t**4 - 3/10*t**2 + 0*t**3 + 33. Factor m(j).
(j - 1)**2*(j + 2)/5
Factor 239*b**2 + 56*b**4 + 101*b**2 + 210*b**3 + 5*b**5 - 19*b**4 + 200*b + 18*b**4.
5*b*(b + 2)**3*(b + 5)
Let d(p) be the second derivative of p**7/231 + p**6/165 - p**5/22 - p**4/66 + 8*p**3/33 - 4*p**2/11 + 59*p. Suppose d(j) = 0. What is j?
-2, 1
Let n(y) = -12*y**3 - 8*y**2 + 108*y + 80. Let c(f) = -2. Let z(j) = 4*c(j) + n(j). Solve z(u) = 0 for u.
-3, -2/3, 3
Let n(b) be the second derivative of 0 + 26*b + 0*b**3 - 1/16*b**4 + 3/8*b**2. Factor n(d).
-3*(d - 1)*(d + 1)/4
Let c(s) be the first derivative of -s**4/20 + 3*s**3 - 84*s**2/5 + 164*s/5 - 199. Factor c(m).
-(m - 41)*(m - 2)**2/5
Let o be ((-2)/(-10))/((-3)/(-15))*0/2. Solve o - 10/13*i - 2/13*i**2 = 0 for i.
-5, 0
Let u(m) = 4. Let x(b) = 5*b**2 - 240*b + 255. Let f(k) = -5*u(k) + x(k). Factor f(n).
5*(n - 47)*(n - 1)
Let l be 3/(-7) + (-54)/(-126). Let h be l/(-2 + 2 + 1). Suppose 0 + h*o - 1/5*o**3 + 1/5*o**2 = 0. What is o?
0, 1
Let f(c) be the first derivative of -c**6/360 - c**5/90 + c**4/72 + c**3/9 + 21*c**2/2 - 12. Let k(g) be the second derivative of f(g). Factor k(u).
-(u - 1)*(u + 1)*(u + 2)/3
Let o = 0 - -6. Suppose -4*j + j = -o. Solve -v**2 - 2 + j + v**4 = 0 for v.
-1, 0, 1
Let q(u) be the second derivative of 7*u**9/1080 - 3*u**8/80 + u**7/21 - u**6/45 + 11*u**4/12 - 27*u. Let f(m) be the third derivative of q(m). Factor f(o).
2*o*(o - 2)*(7*o - 2)**2
Let r(m) be the second derivative of -m**7/105 - 8*m**6/75 - 21*m**5/50 - 3*m**4/5 - 3*m + 32. Let r(u) = 0. What is u?
-3, -2, 0
Suppose d = -g - 2*d + 75, -135 = -2*g - 3*d. Let v be (-4)/14 - (-594)/21. Let -52*b**3 + 4 - 5*b + v*b**4 + g*b**2 - 12 + b - 24*b**3 = 0. Calculate b.
-2/7, 1
Let k be 1*4737/(-21) + 8/14. Let b = 2477/11 + k. Factor -b*u**4 + 0 + 0*u**2 + 0*u + 0*u**3 + 2/11*u**5.
2*u**4*(u - 1)/11
Suppose -5*a - 310 = 2*m - 4*m, -m - 5*a = -125. Let i = -143 + m. Determine s, given that 0 - 2/9*s**3 + 4/9*s**i - 2/9*s = 0.
0, 1
Let g = -4662 + 4668. Factor g*c**2 + 0 + 0*c - 21/2*c**4 + 18*c**3.
-3*c**2*(c - 2)*(7*c + 2)/2
Let p(g) be the first derivative of g**5/30 + g**4/4 + 2*g**3/3 + 8*g**2 + 5. Let x(l) be the second derivative of p(l). Factor x(z).
2*(z + 1)*(z + 2)
Let n(o) be the second derivative of o**7/90 - 2*o**6/45 + o**5/30 + o**4/9 - 13*o**3/6 - 16*o. Let x(v) be the second derivative of n(v). Factor x(a).
4*(a - 1)**2*(7*a + 2)/3
Let -3/4*p**4 - 15*p + 15*p**3 + 57/4 - 27/2*p**2 = 0. Calculate p.
-1, 1, 19
Let x(g) be the third derivative of g**6/280 + 3*g**5/140 + g**4/28 - 460*g**2. Factor x(j).
3*j*(j + 1)*(j + 2)/7
Let l be ((-2)/(-2) - 0) + -1. Let s = -24799 - -24803. Suppose 0*m**2 + 6/7*m**s + l*m**3 + 0*m + 0 - 3/7*m**5 = 0. Calculate m.
0, 2
Let c(y) be the second derivative of -10*y**7/21 - 2*y**6/15 + 5*y**5 + 5*y**4/3 - 40*y**3/3 - 8*y**2 + 206*y. Let c(o) = 0. Calculate o.
-2, -1, -1/5, 1, 2
Let -33/2*k**2 - 9*k + 6 + 15/4*k**4 + 9/4*k**3 = 0. What is k?
-2, -1, 2/5, 2
Suppose -31*x = -29*x - 64. Let r be x/10 + 4/(-20). Factor -5*k + 2*k**2 - r*k + 32 - 26.
2*(k - 3)*(k - 1)
Suppose 0 = 2*v + g - 3, -3*g = v - 3 + 4. Suppose q = -5*n - 25, 0*q + 2*n = v*q - 10. Let 1/2*c**3 - 1/2*c**5 + 0 + 0*c**2 + 0*c**4 + q*c = 0. Calculate c.
-1, 0, 1
Factor 0 - 10/3*k**2 - 2*k**3 - 14/9*k - 2/9*k**4.
-2*k*(k + 1)**2*(k + 7)/9
Let l(g) be the second derivative of 5*g**7/42 + 23*g**6/6 + 41*g**5/2 + 295*g**4/6 + 385*g**3/6 + 95*g**2/2 - g + 113. Let l(p) = 0. Calculate p.
-19, -1
Let w be 15/(-9 - -10 - 1/(-2)). Let l = w - 10. Factor -2/11*c**4 + 0*c + 0*c**2 + l - 4/11*c**3.
-2*c**3*(c + 2)/11
Factor -2/7*i**2 + 2/7 + 2/7*i - 2/7*i**3.
-2*(i - 1)*(i + 1)**2/7
Let j(n) be the third derivative of n**6/60 + n**5/15 - 5*n**4/12 - 2*n**3 - 3*n**2 - 33*n. Let j(c) = 0. What is c?
-3, -1, 2
What is t in -1369/5 - 72/5*t**3 - 1/5*t**4 - 1222/5*t**2 + 2664/5*t = 0?
-37, 1
Factor 0 + 1/3*l**4 - 11/3*l**3 - 40/3*l**2 - 28/3*l.
l*(l - 14)*(l + 1)*(l + 2)/3
Let y = 26 + -26. Let r be ((-4)/1 + -2)*(-17)/357. Suppose y*c**2 - r*c**3 + 0*c + 0 = 0. Calculate c.
0
Suppose 2*o = -2*b + 14, 0 = 4*o - b + 2*b - 31. Factor 4*y**4 - o*y**2 + 8 - 2 - 2.
4*(y - 1)**2*(y + 1)**2
Let c be 12/5 + (4/10)/(-1). Factor -7*h - 7*h + 2*h**2 - 12 - 4*h**c.
-2*(h + 1)*(h + 6)
Let g(d) be the first derivative of d**3/9 - 20*d**2/3 + 400*d/3 + 5. Factor g(n).
(n - 20)**2/3
Let x(f) be the third derivative of f**8/33600 + f**7/4200 - 3*f**5/10 - 8*f**2. Let j(u) be the third derivative of x(u). Factor j(r).
3*r*(r + 2)/5
Let x(v) = -v**3 + 25*v + 45. Let d be x(-2). Let p(b) be the first derivative of -9/20*b**4 + 0*b**2 - 4 - 12/25*b**5 + 0*b + 1/5*b**d. Factor p(w).
-3*w**2*(w + 1)*(4*w - 1)/5
Let i be ((-2)/6 + 1)/(1768/(-51) + 35). Factor 0 + 6*a - 3/2*a**4 + 15/2*a**3 - 12*a**i.
-3*a*(a - 2)**2*(a - 1)/2
Let r(a) be the second derivative of 1/6*a**4 + a**2 + 8*a + 0 - 2/3*a**3. Factor r(w).
2*(w - 1)**2
Let b = -1/63 - -271/63. Let l = -5427 - -37992/7. Find m such that 15/7*m**4 + 15/7*m + 3/7 + 30/7*m**2 + l*m**5 + b*m**3 = 0.
-1
Let w be (-9)/(-6) - ((-22)/20 + (-4 - -6)). Factor -48/5 - 27/5*y**4 - 168/5*y**2 - 144/5*y - w*y**5 - 96/5*y**3.
-3*(y + 1)*(y + 2)**4/5
Let o(a) = -2*a**2 - a - 3. Let p(d) = -7*d**2 + 3*d - 7. Let m(c) = -10*c**2 + 4*c - 10. Let q(t) = -5*m(t) + 7*p(t). Let g(s) = -o(s) - 3*q(s). Factor g(b).
-b*(b + 2)
Let f(v) be the second derivative of -v**6/6 - v**5/4 + 15*v**4/4 - 55*v**3/6 + 10*v**2 - 89*v. Solve f(p) = 0.
-4, 1
Let o(b) be the third derivative of b**6/200 + 79*b**5/100 + 38*b**4 - 160*b**3 - 7*b**2 + 13*b. Factor o(r).
3*(r - 1)*(r + 40)**2/5
Let q = 1603/15 - 287/3. Let w = q - 11. Factor 0 + 0*c**2 + 0*c 