/2 + 1/2*o**x - 5/2*o = 0 for o.
-3, 1
Let d(o) be the first derivative of 2*o**5/15 - o**4/3 - 2*o**3/9 + 2*o**2/3 - 85. Factor d(x).
2*x*(x - 2)*(x - 1)*(x + 1)/3
Let m = 511/30 + -17. Let f(h) be the second derivative of -1/3*h**2 - 6*h + 0 - m*h**5 + 1/9*h**3 + 1/18*h**4. Factor f(x).
-2*(x - 1)**2*(x + 1)/3
Let u(o) be the second derivative of -8*o + 7/15*o**6 - 2/3*o**4 + 5/14*o**7 + 2/3*o**3 + 0 - 13/20*o**5 + 0*o**2. Find m, given that u(m) = 0.
-1, 0, 2/5, 2/3
Let w = -1/51 + 3473/255. Let f = w + -13. Factor 3/5*y**2 + 0 + f*y.
3*y*(y + 1)/5
Factor m**2 - 9836 - 6*m + 9836 + 3*m**2 + 3*m - m**3.
-m*(m - 3)*(m - 1)
Let f = 4/601 - -2993/1803. Solve -20/3*a + 25/3*a**3 + 10*a**2 + f*a**4 - 40/3 = 0.
-2, 1
Let w = -32 + 705/22. Let j(s) be the first derivative of 0*s - 6 + 0*s**3 + w*s**4 - 2/55*s**5 + 0*s**2. Find g such that j(g) = 0.
0, 1
Let l be 9/6*(-6)/(-4). Let t = 29/12 - l. Factor 0 - t*a**3 - 1/6*a**2 + 0*a.
-a**2*(a + 1)/6
Let s = -5572 - -5575. Factor -5*v**2 + 7/4*v + 1/2 + 11/4*v**s.
(v - 1)**2*(11*v + 2)/4
Suppose 0*a = 2*a - 6. Suppose 4 = a*g - g. Let v(d) = -d**4 + d**3 - 3*d**2 + d - 2. Let l(j) = -j**4 + j**3 - j**2 - 1. Let r(n) = g*l(n) - v(n). Factor r(h).
-h*(h - 1)**2*(h + 1)
Let r(i) be the first derivative of -5*i**3/3 + 30*i**2 - 55*i - 125. What is k in r(k) = 0?
1, 11
Let z be (-20)/15 - 4/(-3). Let t(u) be the first derivative of 2*u**3 - 3 + z*u**2 - 6/5*u**5 + 1/2*u**6 - 3/4*u**4 + 0*u. Factor t(v).
3*v**2*(v - 2)*(v - 1)*(v + 1)
Let x be 21/49 - (0 + 1506/(-14)). Let q be -3 + 1 + -1 - x/(-20). Determine z, given that -q*z**3 + 18/5*z**2 - 12/5*z + 3/5 + 3/5*z**4 = 0.
1
Let f(j) be the second derivative of j**7/1470 - j**6/840 - 6*j**2 + 4*j. Let c(u) be the first derivative of f(u). Factor c(h).
h**3*(h - 1)/7
Let y be 119/(-21) - -1 - (-4 - 1). Let r(o) be the second derivative of y*o**2 + 1/18*o**3 - 4*o - 1/36*o**4 + 0. What is i in r(i) = 0?
-1, 2
Let m(y) be the third derivative of y**5/60 - y**4/2 + 16*y**3/3 + 72*y**2. Factor m(f).
(f - 8)*(f - 4)
Let u = 8056/8789 - 6/799. Solve 16/11*s - 2/11*s**5 + 8/11 - u*s**4 + 2/11*s**2 - 14/11*s**3 = 0.
-2, -1, 1
Let d(l) be the third derivative of l**6/60 + 13*l**5/15 + 81*l**2. Determine y so that d(y) = 0.
-26, 0
Let s(f) = 6*f**2 - 13*f**2 + 7*f**2 - 39*f**4 + 129*f**5. Let m(g) = 10*g**5 - 3*g**4. Let u(b) = -27*m(b) + 2*s(b). Determine x so that u(x) = 0.
0, 1/4
Let d be ((-6)/6)/(2*(-3)/66). Suppose 4*k - d = -3. Factor -1/3*j**2 - 3 - k*j.
-(j + 3)**2/3
Suppose f + 6 - 1 = 3*z, 19 = f + 5*z. Solve 0 - 2/3*j**f + 0*j**3 + 1/3*j + 2/3*j**2 - 1/3*j**5 = 0.
-1, 0, 1
Let f = -4/9841 + 147623/19682. Let 0 - 6*q**2 + f*q = 0. What is q?
0, 5/4
Factor 6 + 13/5*o - 1/5*o**2.
-(o - 15)*(o + 2)/5
Factor 13/4*t + 11/2 + 1/4*t**2.
(t + 2)*(t + 11)/4
Let 2/3*a**5 + 152/3*a**3 - 34/3*a**4 - 704/3*a - 56/3*a**2 + 640/3 = 0. Calculate a.
-2, 1, 4, 10
Suppose -16*t + 13*t = -9. Factor 5 - 19*h**2 - 24*h - 4*h**t - 5 + 39*h**2.
-4*h*(h - 3)*(h - 2)
Determine h, given that -16 + 18*h + 8*h**2 + 0*h + 0*h**2 - 10*h**2 = 0.
1, 8
Let i(o) be the second derivative of -2/15*o**4 + 0 - 20*o - 1/50*o**5 + 0*o**2 - 1/5*o**3. What is u in i(u) = 0?
-3, -1, 0
Let f be 3*(-3 - (-10)/3). Let u(v) = -v**4 + 4*v**3 + v**2 + 6*v + 5. Let w(j) = j**3 + j + 1. Let p(r) = f*u(r) - 5*w(r). Factor p(g).
-g*(g - 1)*(g + 1)**2
Let t = -2541 - -2549. Let w(c) be the third derivative of -2/105*c**7 + 1/15*c**5 + 0*c**3 + t*c**2 + 0 + 1/30*c**6 + 0*c - 1/6*c**4. What is d in w(d) = 0?
-1, 0, 1
Let k(g) be the third derivative of 1/57*g**4 + 2/57*g**5 - 11/1140*g**6 + 0*g**3 + 0*g + 2*g**2 + 0. Let k(h) = 0. Calculate h.
-2/11, 0, 2
Let m(w) be the second derivative of -32/7*w**7 + 488/5*w**6 - 2881/4*w**4 + 4 - 96*w**2 - 501*w**5 - 376*w**3 + 2*w. Factor m(h).
-3*(h - 8)**2*(4*h + 1)**3
Let l = 609 + -606. Solve 4/7 + 8/7*o**2 + 10/7*o + 2/7*o**l = 0 for o.
-2, -1
Let y be 5 + 2 + 0/(-3). Suppose -8*m - y = -23. Suppose -2/5*t**3 + 6/5*t**m + 2/5*t - 2/5*t**4 - 4/5 = 0. Calculate t.
-2, -1, 1
Let k = -73 + 84. Determine c so that -k*c + 4 - 10*c + 5*c - 3*c**2 - c**2 + 16*c**3 = 0.
-1, 1/4, 1
Let f(m) be the third derivative of m**7/210 - m**6/90 - 11*m**3/6 - 17*m**2. Let p(v) be the first derivative of f(v). Let p(i) = 0. What is i?
0, 1
Let s(z) be the third derivative of -z**7/1680 + 53*z**6/960 + 109*z**5/480 + 55*z**4/192 - z**2 - 532*z. Factor s(p).
-p*(p - 55)*(p + 1)**2/8
Let n(p) = -4*p**2 + 4*p. Let c = -4 + 4. Suppose c = 3*j + 9. Let u(z) = z**2 - z. Let b(k) = j*n(k) - 14*u(k). What is l in b(l) = 0?
0, 1
Let r(b) = -15*b**2 - 65*b - 55. Let d(m) = 8*m**2 + 33*m + 28. Let z(s) = 5*d(s) + 3*r(s). Suppose z(q) = 0. What is q?
-5, -1
Let h = 6531 + -45709/7. Determine l, given that 184/7*l - 1058/7*l**2 - h = 0.
2/23
Let o(f) be the second derivative of f**4/6 - 23*f**3/3 - 50*f**2 - 6*f - 15. Factor o(k).
2*(k - 25)*(k + 2)
Let d(i) = -15*i**2 + 7*i. Let g = -114 - -112. Let b(u) = -75*u**2 + 36*u. Let n(p) = g*b(p) + 11*d(p). Factor n(s).
-5*s*(3*s - 1)
Suppose -7*h + 3 = -11. Factor -20*i**h - 44*i**3 - 4*i**3 + 48*i + 36*i**4 - 12 - 4.
4*(i - 1)*(i + 1)*(3*i - 2)**2
Let p be (2/(-7))/((-247)/26 - -9). Factor 8/7*g + p*g**3 + 10/7*g**2 + 2/7.
2*(g + 1)**2*(2*g + 1)/7
Let j = 185 + -194. Let h be j/2*(-12)/108. Solve 0*y + h*y**4 + 0 - 1/2*y**2 - 1/2*y**3 + 1/2*y**5 = 0 for y.
-1, 0, 1
Let q(n) be the third derivative of n**5/10 - n**4/3 - 4*n**3/3 - 4*n**2 - 5. Factor q(k).
2*(k - 2)*(3*k + 2)
Let f = -76 + 79. Let v(d) be the third derivative of 0*d + 1/2*d**f - 1/12*d**4 + 2*d**2 + 1/180*d**5 + 0. Factor v(x).
(x - 3)**2/3
Let o be 25/33 - (777/(-231))/(-37). Factor 4/3*p**3 - o*p**2 - 2/3*p**4 + 0 + 0*p.
-2*p**2*(p - 1)**2/3
Solve 392/3*c**2 - 128*c - 104/3*c**3 + 0 + 2/3*c**4 = 0.
0, 2, 48
Let u = -34 - -36. Factor 6 - z**2 + 2*z**2 - 9*z + 3*z**3 + 6*z - 7*z**u.
3*(z - 2)*(z - 1)*(z + 1)
Let i(a) be the second derivative of -a**10/18900 - a**9/4200 - a**8/2800 - a**7/6300 + 7*a**4/12 - 10*a. Let j(t) be the third derivative of i(t). Factor j(p).
-2*p**2*(p + 1)**2*(4*p + 1)/5
Suppose -4*c = -25 + 1. Factor 16*d**4 + 0*d**2 - c*d**3 - 31*d**4 + 12*d**4 + 24*d + 12*d**2.
-3*d*(d - 2)*(d + 2)**2
Let p(i) be the second derivative of -i**7/168 + 2*i**6/15 - 77*i**5/80 + 49*i**4/24 - 16*i. What is s in p(s) = 0?
0, 2, 7
Let r = -3447 + 3461. Solve 28/5 - r*n**2 - 78/5*n = 0 for n.
-7/5, 2/7
Let l(t) be the second derivative of 5*t**4 + 0*t**2 - 15/4*t**5 - 2*t**3 + 26*t + 0. Factor l(k).
-3*k*(5*k - 2)**2
Suppose -3*y - 40 + 52 = 0. Suppose 9 = y*q + 9. What is f in q + 0*f**2 + 0*f - 2/7*f**3 = 0?
0
Let i be 328/(-82)*(2/24)/((-21)/27). Factor 12/7 - 12/7*o**2 + 3/7*o**3 - i*o.
3*(o - 4)*(o - 1)*(o + 1)/7
Let n(g) = -8*g**3 + 23*g**2 + 40*g - 55. Let t(b) = 4*b**3 - 11*b**2 - 20*b + 27. Let f be (-2)/12*-4 - 207/27. Let i(r) = f*t(r) - 3*n(r). Solve i(a) = 0.
-2, 1, 3
Factor -g**2 + 1/5*g**3 + 0 - 14/5*g.
g*(g - 7)*(g + 2)/5
Factor 21/2*q - 17/2*q**2 - 5/2*q**3 + 1/2*q**4 + 0.
q*(q - 7)*(q - 1)*(q + 3)/2
Suppose 2*o - 2*o**4 - 2*o**3 + 458*o**2 - 464*o**2 + 4*o**4 + 4 = 0. Calculate o.
-1, 1, 2
Let y = 227 - 225. What is v in 0 - 1/5*v**y + 0*v = 0?
0
Suppose 2 = 775*d - 773*d, 2*m + 3*d = 7. Suppose 2/5*u**3 - 2/5 + 6/5*u - 6/5*u**m = 0. What is u?
1
Let t(z) be the second derivative of 7/6*z**4 + 38*z - 3/10*z**5 - 16/9*z**3 + 0 + 4/3*z**2. What is n in t(n) = 0?
2/3, 1
Let j(v) be the first derivative of 2*v - 1/100*v**5 + 1/30*v**3 + 0*v**2 + 0*v**4 + 10. Let z(n) be the first derivative of j(n). Factor z(d).
-d*(d - 1)*(d + 1)/5
Let j be 21/210 - 2/4*-1. Factor 6/5*l + j*l**2 - 9/5.
3*(l - 1)*(l + 3)/5
Let f(a) be the second derivative of a**4/32 + a**3 - 40*a. Find y, given that f(y) = 0.
-16, 0
Suppose 2*h - 4*h = 22. Let p = h - -78/7. Let p*n**2 - 1/7*n - 2/7 = 0. What is n?
-1, 2
Let c(b) be the second derivative of -b**7/2100 - b**6/450 + b**5/300 + b**4/30 + 37*b**3/6 - 16*b. Let p(g) be the second derivative of c(g). Factor p(z).
-2*(z - 1)*(z + 1)*(z + 2)/5
Let i be (3/2)/(525/1715)*1. What is b in i*b**3 + 7*b**2 - 26/5*b + 4/5 = 0?
-2, 2/7
Let v(d) be the second derivative of 7/120*d**6 + d**2 + 0 + 11/8*d**4 - 28*d + 11/6*d**3 + 37/80*d**5. Solve v(p) = 