+ 625*n**2/18 + 337*n. Factor m(y).
(y + 1)**2*(y + 25)**2/9
Let h(g) be the first derivative of 0*g**2 + 0*g - 8 + 3/10*g**6 - 8/15*g**3 + 7/5*g**4 + 34/25*g**5. Find b, given that h(b) = 0.
-2, 0, 2/9
Let j(t) be the second derivative of -t**5/90 - 31*t**4/18 - 961*t**3/9 - 29791*t**2/9 - 85*t. Determine w so that j(w) = 0.
-31
Let x(f) be the third derivative of -f**8/336 - f**7/105 + f**6/120 + f**5/30 - 20*f**2 - 2*f. Factor x(k).
-k**2*(k - 1)*(k + 1)*(k + 2)
Suppose 2*h - 3*y + 5*y - 6 = 0, h - 5*y = 15. Factor 25*v**5 + 27*v**h - 2*v**3 - 50*v**5.
2*v**3*(v - 1)*(v + 1)
Let d = -3 - -11. Let k = d + -6. Factor -c**4 + 3*c - k*c**4 + 7*c**3 + 0*c**4 + 2*c**3 - 9*c**2.
-3*c*(c - 1)**3
Let b be -1 + (-20 - -4) - 5. Let r = 22 + b. Factor 4/7*j**3 + r + 2/7*j**4 + 0*j**2 + 0*j.
2*j**3*(j + 2)/7
Factor -28*f + 2311*f**2 - 2308*f**2 + 70*f + 39.
3*(f + 1)*(f + 13)
Let d(h) be the third derivative of h**6/320 - h**5/40 + h**4/16 - 5*h**2 + 4. Factor d(p).
3*p*(p - 2)**2/8
Suppose 0*h - h + 3 = 0, 4*c + 6 = 2*h. Let 125/2*i**5 + 0 + c*i + 25/2*i**4 + 10*i**2 - 40*i**3 = 0. What is i?
-1, 0, 2/5
Let u = -1673 - -1679. Solve -8*v**2 - 10/3*v**3 - u*v - 4/3 = 0 for v.
-1, -2/5
Let p(f) be the second derivative of 1/18*f**3 + 0 + 4*f + 1/9*f**2 - 1/180*f**5 + 0*f**4. Determine k so that p(k) = 0.
-1, 2
Let j(s) be the third derivative of s**8/13440 - s**6/1440 + 5*s**4/6 + 3*s**2. Let y(d) be the second derivative of j(d). Determine q, given that y(q) = 0.
-1, 0, 1
Let a(k) be the second derivative of 1/2*k**2 + 1/4*k**3 + 1/24*k**4 + 0 + 4*k. Factor a(f).
(f + 1)*(f + 2)/2
Factor -10/11*r**2 - 14/11 + 26/11*r - 2/11*r**3.
-2*(r - 1)**2*(r + 7)/11
Let x be 1 - 1/((2 - 1)/(-2)). Factor 5*g**4 + 5*g**3 - x*g**4 + g**3.
2*g**3*(g + 3)
Let x(r) be the second derivative of -r**6/60 + 13*r**5/40 - 2*r**4 + 3*r**3 + 18*r - 10. Let x(l) = 0. What is l?
0, 1, 6
Let c(z) be the second derivative of -1/30*z**5 - 1/3*z**3 + 5/2*z**2 + 0 - z - 1/6*z**4. Let r(o) be the first derivative of c(o). Factor r(a).
-2*(a + 1)**2
Let j(s) be the first derivative of -3*s**6/2 - 9*s**5/5 + s**4 + 4*s**3/3 + 46. Solve j(b) = 0 for b.
-1, -2/3, 0, 2/3
Suppose -80 - 2655*t**5 - 64*t + 76*t**2 - 2653*t**5 + 68*t**3 + 5304*t**5 + 4*t**4 = 0. Calculate t.
-2, -1, 1, 5
Let w = -34558/5 + 6825. Let u = 87 + w. Factor 1/5*i + 3/5*i**2 - u - 1/5*i**3 - 1/5*i**4.
-(i - 1)**2*(i + 1)*(i + 2)/5
Let p = -1198/13 + 9623/104. Solve -75/8 + 15/4*s + 9*s**2 + p*s**4 - 15/4*s**3 = 0 for s.
-1, 1, 5
Let w = 21559 + -21557. Factor 6/11 + 8/11*z + 2/11*z**w.
2*(z + 1)*(z + 3)/11
Let c(r) = -1. Suppose 22 = 4*a + 2*d, -d = -3*d - 10. Let g(u) = 31 + 53*u + a*u + 37*u + 22*u + 100*u**2. Let y(v) = 5*c(v) - g(v). Factor y(n).
-4*(5*n + 3)**2
Let w = 2629 - 2626. Let 11/2*n - 8*n**2 - 1 + 7/2*n**w = 0. Calculate n.
2/7, 1
Let g(i) be the third derivative of -i**9/12096 - i**8/2240 - i**7/1120 - i**6/1440 + i**3 + 8*i**2. Let w(h) be the first derivative of g(h). Factor w(s).
-s**2*(s + 1)**3/4
Let g(b) be the first derivative of -b**4 - 28*b**3/3 - 12*b**2 + 270. Find j, given that g(j) = 0.
-6, -1, 0
Let t = 49 + -21. Let b be -4*(-4 + t/8). Let 3*h**2 + 2*h - 4*h**2 + 2*h**3 + 3*h**2 - 6*h**b = 0. Calculate h.
0, 1
Let s(t) be the first derivative of t**6/7 - 44*t**5/35 - 37*t**4/7 - 40*t**3/7 - t**2/7 + 20*t/7 + 247. What is x in s(x) = 0?
-1, 1/3, 10
Solve 28*u**2 - 2*u**5 + 16*u**3 - 30*u**3 + 19*u**2 - 10*u**4 - 53*u**2 = 0.
-3, -1, 0
Let h = -558/7 + 1515/14. Let y = h - 25. Factor 9/2 + y*p**2 - 1/2*p**3 - 15/2*p.
-(p - 3)**2*(p - 1)/2
Let i = -2353 - -2356. Factor 0 + 5/6*n - 10/3*n**2 + 10/3*n**i.
5*n*(2*n - 1)**2/6
Suppose 1058/5 - 437/5*k - 44/5*k**2 - 1/5*k**3 = 0. What is k?
-23, 2
Factor 2*q**2 - 613*q**4 + 20*q + 614*q**4 - 24*q**3 + 4*q**3 - 3*q**2.
q*(q - 20)*(q - 1)*(q + 1)
Factor 9/2 - 1/2*d**3 + 11/2*d**2 - 19/2*d.
-(d - 9)*(d - 1)**2/2
Let l be (-1)/(-7) - (-54)/14. Let s(c) = 2*c + 2. Let t be s(l). Find d, given that -t*d**2 - 2*d**4 - 8*d**3 + 11*d**4 + 4*d - d**4 + 8 + 4*d**5 - 6*d**2 = 0.
-2, -1, 1
Let v(c) be the second derivative of c**6/150 - 9*c**5/50 + 9*c**4/5 - 36*c**3/5 + 6*c - 4. What is o in v(o) = 0?
0, 6
Let j = -328 + 331. Let v(t) be the second derivative of 2*t + 0*t**j + 7/4*t**4 + 3/20*t**5 + 0 - 6*t**2 - 1/14*t**7 - 3/10*t**6. Let v(w) = 0. What is w?
-2, -1, 1
Factor 7*k**2 - 4775*k**4 + 4774*k**4 - 3*k**3 - 6*k**2 + 8*k**2 + 27*k.
-k*(k - 3)*(k + 3)**2
Determine t so that -7/6*t + 1/2 + 1/3*t**2 = 0.
1/2, 3
Let t(z) be the second derivative of -1/30*z**4 + 18*z + 1/100*z**5 - 2/15*z**3 + 0 + 4/5*z**2. Factor t(d).
(d - 2)**2*(d + 2)/5
Let z(q) = 3*q**2 + 68*q + 108. Let o be z(-21). Factor -2/9*j**o + 4/9*j**2 + 2/9*j - 4/9.
-2*(j - 2)*(j - 1)*(j + 1)/9
Let d(s) = -s**2 + 2. Let q(b) = 2*b**3 + 18*b**2 + 30*b - 32. Let n(z) = 36*d(z) - 2*q(z). Factor n(f).
-4*(f - 1)*(f + 2)*(f + 17)
Let i(d) = d**2 + 15*d + 18. Let g be i(-14). Suppose 2*m - 34 = 2*f + 3*f, -2*f + 20 = g*m. Factor 6*n - m*n**3 - 4*n + 4*n + 3*n**2 + 4*n**3.
-3*n*(n - 2)*(n + 1)
Let 12/5*t - 3/5*t**3 + 0 + 0*t**2 = 0. What is t?
-2, 0, 2
Suppose 3*d - 4*h = 19 + 7, 0 = -4*d - h + 3. Let 0*r + 0 + 2/11*r**d = 0. What is r?
0
Let o(n) be the third derivative of -2*n**7/105 + n**6/30 + n**5/15 - n**4/6 - 14*n**2 + n. Let o(p) = 0. Calculate p.
-1, 0, 1
Factor 18*g**3 - 10*g**3 - g**4 - 2*g**4 - g**4 - 4*g**5.
-4*g**3*(g - 1)*(g + 2)
Let n(t) = t**3 - t**2 - t - 7. Let c(j) = -22*j**3 + 2*j**2 + 6*j + 42. Let d(u) = -c(u) - 6*n(u). Find k such that d(k) = 0.
-1/4, 0
Let j = 34/45 - 4/45. Let i = 760/1131 + -2/377. Factor 0*t + 0 + 0*t**2 + j*t**4 - i*t**3.
2*t**3*(t - 1)/3
Suppose 2*r + 5*r + 21 = 0. Let q be (r + 2)*(-1)/7. Factor 3/7*c**3 + q*c**2 + 0*c + 3/7*c**4 + 1/7*c**5 + 0.
c**2*(c + 1)**3/7
Let d(u) be the third derivative of -u**6/900 - u**5/75 - u**4/15 + u**3/2 - 5*u**2. Let m(s) be the first derivative of d(s). Let m(w) = 0. What is w?
-2
Suppose -27169*l - 304 = -27188*l. Determine h so that 80/3*h - 4/3*h**4 + 28/3*h**2 - 8/3*h**3 + l = 0.
-2, -1, 3
Let z(v) be the first derivative of v**6/36 - v**5/15 - v**4/12 - 10*v**3/3 + 25. Let p(l) be the third derivative of z(l). Factor p(q).
2*(q - 1)*(5*q + 1)
Let a(x) be the first derivative of x**8/2016 - x**6/108 - 19*x**3/3 - 48. Let m(k) be the third derivative of a(k). Find y, given that m(y) = 0.
-2, 0, 2
Let w(o) = -12*o**2 + 2*o - 1. Let c be w(-1). Let f be (-48)/c - (-3 - -6). Factor -2/5 + 1/5*k**2 + f*k.
(k - 1)*(k + 2)/5
Let y(k) be the first derivative of k**6/360 - k**5/60 + k**4/24 - 8*k**3/3 - 19. Let v(w) be the third derivative of y(w). Determine q so that v(q) = 0.
1
Let x = 621 - 45332/73. Let s = 151/365 - x. Factor -4*j**2 + s - 3/5*j.
-(4*j - 1)*(5*j + 2)/5
Let r(m) = 2*m**2 - 32*m - 29. Let s be r(17). Find f, given that f**4 + 0*f**2 + 3/4*f**3 + 0 + 1/4*f**s + 0*f = 0.
-3, -1, 0
Suppose 16 - 76 = -5*j. Let c(v) be the first derivative of -9/2*v**4 - 3 + j*v - 18*v**2 + 3/5*v**5 + 13*v**3. Factor c(q).
3*(q - 2)**2*(q - 1)**2
Let y = 1503/5 + -300. Let q(i) be the first derivative of -6 - 1/2*i**6 + 0*i + y*i**5 + 3/4*i**4 + 0*i**2 - i**3. What is w in q(w) = 0?
-1, 0, 1
Factor 8/7*p + 10/7*p**3 + 0 - 2/7*p**4 - 16/7*p**2.
-2*p*(p - 2)**2*(p - 1)/7
Let a(y) be the first derivative of 2*y**3 + y**4 - 2*y**4 + 2*y**3 + 0*y**3 - 2 - 16*y. Suppose a(v) = 0. What is v?
-1, 2
Let g be 2*5/((-40)/(-28)). Let m = -3 + g. Factor -9*u**3 - 8*u**5 + 3*u**3 + 21*u**m - 7*u**5.
-3*u**3*(u - 1)*(5*u - 2)
Let s(i) = 10*i**3 - 39*i**2 + 12*i. Let a(q) = -q**2. Suppose -247 = c - 245. Let o(f) = c*s(f) + 10*a(f). What is p in o(p) = 0?
0, 2/5, 3
Suppose -2/13*o**2 - 2/13*o**3 + 10/13*o - 6/13 = 0. What is o?
-3, 1
Let d(r) be the first derivative of r**5 + 125*r**4/4 + 715*r**3/3 - 845*r**2/2 + 130. Factor d(z).
5*z*(z - 1)*(z + 13)**2
Let o(r) = r**3 - 1. Let g(x) = -10*x**3 + 40*x**2 + 525*x + 5. Let y(d) = -g(d) - 5*o(d). Determine u, given that y(u) = 0.
-7, 0, 15
Let s = -19864 - -139050/7. Factor s*o**2 - 2/7 + 0*o.
2*(o - 1)*(o + 1)/7
Let x(c) be the first derivative of 2*c**5/85 + 3*c**4/17 + 8*c**3/51 - 24*c**2/17 - 64*c/17 + 22. Find p, given that x(p) = 0.
-4, -2, 2
Let d(o) = -5*o**3 + 16*o**2 + 89*o - 