 t(h).
-2*(h - 16)*(h + 1)/9
Find u, given that 1/9*u**4 + 0 - 28/9*u - 4/9*u**2 + 7/9*u**3 = 0.
-7, -2, 0, 2
Suppose 0 = -9*b + 21*b - 72. Let b*h**2 - 10*h**2 + 5*h**2 + 10*h + 25 = 0. What is h?
-5
Let v be (-85)/(-25) - (0 - -2). Let p be (-14)/(-5) - (-112)/(-140). Suppose v*y + 2/5 - 9/5*y**p = 0. Calculate y.
-2/9, 1
Let p(z) = 11*z**2 - 15*z - 5. Let o(m) = -9*m**2 + 15*m + 4. Let y(d) = -5*o(d) - 4*p(d). Factor y(n).
n*(n - 15)
Let a = 34 + -31. Factor -523 - g**2 - 7*g + 498 - a*g.
-(g + 5)**2
Factor -4*s**3 + 125*s + 27*s**2 - 36 + 7*s + 33*s**2 + 38 + 66.
-4*(s - 17)*(s + 1)**2
Let u(v) be the third derivative of -v**6/15 + v**4/4 + v**3/3 + 45*v**2. Let u(z) = 0. Calculate z.
-1/2, 1
Let f be (-22)/(-14) + 1 + 64/(-112). Let l be (6/12 - 2)/((-5)/f). Find a such that 3/5*a**4 + 3/5*a**5 + 0*a - l*a**2 + 0 - 3/5*a**3 = 0.
-1, 0, 1
Suppose a - 25 = -5*h, 4*h - 8*h = 3*a - 31. Factor 0*m**3 + 0 + 2/9*m**5 - 4/9*m**2 + 4/9*m**h - 2/9*m.
2*m*(m - 1)*(m + 1)**3/9
Solve 11/2*k**2 + 0 - 3*k - 3*k**3 + 1/2*k**4 = 0.
0, 1, 2, 3
Let x(k) be the third derivative of -k**7/315 + 13*k**6/45 - 94*k**5/15 - 728*k**4/9 - 3136*k**3/9 + k**2 + 163*k. Factor x(v).
-2*(v - 28)**2*(v + 2)**2/3
Let u(w) = w**3 + 5*w**2 + 3*w - 1. Let q be u(-4). Let k(f) = 7*f**3 - f**2 + 9*f + 1. Let i(m) = -m**3 - m. Let a(b) = q*k(b) + 24*i(b). Factor a(h).
-3*(h - 1)*(h + 1)**2
Determine a, given that -20*a**2 + 0*a**3 + 5*a**3 - 4*a**4 - 20*a + 8*a**4 + a**4 = 0.
-2, -1, 0, 2
Let l(m) be the third derivative of -5/48*m**4 + 0 - 3*m**2 + 0*m - 1/12*m**3 + 1/20*m**5. Suppose l(p) = 0. What is p?
-1/6, 1
Let w(o) = -2*o - 27. Let x(q) = -2*q - 26. Let b(a) = -3*w(a) + 2*x(a). Let k be b(-13). Factor 14 - d**3 - 2*d**2 - 6 + d**3 - 8*d + 2*d**k.
2*(d - 2)*(d - 1)*(d + 2)
Let -20*d + 250 + 2/5*d**2 = 0. Calculate d.
25
Let g(q) = 5*q + 15. Let p be g(13). Determine y, given that -5*y - 788*y**2 - 3 + 818*y**2 - p*y**4 + 3 + 15*y**3 - 60*y**5 = 0.
-1, 0, 1/6, 1/2
Let n be (0/14 - 6) + 8. Factor -2/5*c**3 - 2/5*c**n + 0*c + 0.
-2*c**2*(c + 1)/5
Let q(p) be the first derivative of -6*p + 4 + 0*p**2 - p**3 + 1/4*p**4. Let h(f) be the first derivative of q(f). Suppose h(b) = 0. What is b?
0, 2
Let t(w) be the first derivative of -2*w**2 + w**4 + 13 + 2/5*w**5 + 0*w**3 - 2*w. Suppose t(k) = 0. What is k?
-1, 1
Let k(u) be the second derivative of -7*u**4/4 + 5*u**3 - 9*u**2/2 - 4*u + 3. Factor k(j).
-3*(j - 1)*(7*j - 3)
Let p be -17*1 - (-8906)/488. Factor 3/4*m**2 - p*m - 1 + 5/4*m**3 + 1/4*m**4.
(m - 1)*(m + 1)**2*(m + 4)/4
Let c be (((-224)/136)/(-7))/(10/85). Solve 0 + 3/4*s + 1/4*s**c = 0.
-3, 0
Let p(a) = 560*a - 1960. Let f(d) = -14*d + 49. Let b(s) = -238*f(s) - 6*p(s). Let y(w) = -w**2 - 140*w + 490. Let o(x) = 11*b(x) - 2*y(x). Factor o(v).
2*(v - 7)**2
Let q(f) be the third derivative of 35*f**8/8 + 73*f**7/6 + 53*f**6/4 + 7*f**5 + 5*f**4/3 + 3*f**2 + 7*f. Determine o, given that q(o) = 0.
-2/3, -1/2, -2/7, 0
Let m(q) be the third derivative of 0 + 0*q + 7/24*q**4 - 57*q**2 + q**3 + 1/60*q**5. Factor m(o).
(o + 1)*(o + 6)
Factor 2/3*s**2 + 112/15*s + 22/15.
2*(s + 11)*(5*s + 1)/15
Let k(o) = -3*o**2 + 21*o + 14. Let l(z) = z**2 - z + 4. Let i(t) = -k(t) - 4*l(t). Factor i(w).
-(w + 2)*(w + 15)
Let g(f) = f**3 - 3*f + 2. Let l(h) = 6*h**3 + 14*h**2 - 38*h - 14. Let r(s) = -8*g(s) + l(s). Factor r(y).
-2*(y - 5)*(y - 3)*(y + 1)
Let w be (-1 + 1)*2/(-8). Let d be ((-33)/(-33))/((-3)/(-2) - w). Find l, given that 0*l + 0*l**2 + d*l**4 + 0 - l**5 + 1/3*l**3 = 0.
-1/3, 0, 1
Let p(o) be the second derivative of -o**7/21 + o**6/3 - 3*o**5/10 - 3*o**4/2 + 139*o. Determine y, given that p(y) = 0.
-1, 0, 3
Suppose -5*b + 4*b + 21 = -4*x, 14 = 2*b - x. Let a(z) be the third derivative of b*z**2 + 1/30*z**5 + 0*z + 0*z**4 + 0*z**3 + 0. Factor a(l).
2*l**2
Let w(l) be the first derivative of -3/4*l**2 - 9/4*l + 1/4*l**3 + 3. Factor w(a).
3*(a - 3)*(a + 1)/4
Let n(m) be the first derivative of 2*m**3/39 + 18*m**2/13 + 90*m/13 + 14. Factor n(x).
2*(x + 3)*(x + 15)/13
Suppose 4/9*u**2 + 8/9*u - 2/9*u**3 - 16/9 = 0. Calculate u.
-2, 2
Let z(r) = 4*r**2 + 2*r + 1. Let l be z(-1). Let t(j) be the first derivative of 8 - 17 - j**l + 5. Determine o, given that t(o) = 0.
0
Let w = -2/115 - -121/345. Let p(d) be the second derivative of 0 + w*d**3 + 0*d**4 + 1/2*d**2 - 1/30*d**6 + 3*d - 1/10*d**5. Factor p(o).
-(o - 1)*(o + 1)**3
Let h(q) be the third derivative of 2/175*q**7 + 0 + 0*q + 2/25*q**5 - 6*q**2 + 13/300*q**6 + 0*q**3 + 1/15*q**4 + 1/840*q**8. Suppose h(k) = 0. What is k?
-2, -1, 0
Let v be (-4)/(5/10 - (-10)/(-4)). Factor 334 - 334 + z**3 - v*z + z**2.
z*(z - 1)*(z + 2)
Solve 2*u + 24/11 - 2/11*u**2 = 0 for u.
-1, 12
Let -29*w + 32*w - 19*w - w**2 - 15 = 0. What is w?
-15, -1
Suppose 61*l - 66*l = -15. Factor -6*k**3 + 3*k + 0*k**3 + 5*k - 4*k**2 + 2*k**l.
-4*k*(k - 1)*(k + 2)
Let d(y) = y + 14. Let j be d(-7). Find s, given that j*s**2 + 2*s + 6*s - 2*s**4 - 27*s**2 - 2*s**4 + 16*s**3 = 0.
0, 1, 2
Let u(y) be the second derivative of 11*y**6/240 + 31*y**5/120 + y**4/3 - y**3/3 + 16*y**2 - 10*y. Let b(g) be the first derivative of u(g). Factor b(q).
(q + 1)*(q + 2)*(11*q - 2)/2
Factor -229*k**3 + 109*k**3 + 55*k + 115*k**3 - 50*k**2.
-5*k*(k - 1)*(k + 11)
Let q(b) be the third derivative of -b**8/672 + b**6/60 - b**5/60 - b**4/16 + b**3/6 + 218*b**2. Suppose q(c) = 0. Calculate c.
-2, -1, 1
Factor 52/7 + 22/7*a - 2/7*a**2.
-2*(a - 13)*(a + 2)/7
Let i = 6/3553 + 600433/14212. Find v, given that i + 1/4*v**2 + 13/2*v = 0.
-13
Let p = -17 + 21. Solve -2*z + 2*z**3 + 2*z**3 + 4*z**3 - 7*z**4 - 6*z**5 - 4*z**2 + 11*z**p = 0 for z.
-1, -1/3, 0, 1
Let j = -133 - -137. Let q(r) be the first derivative of -2 - 3/22*r**j - 6/55*r**5 + 0*r**2 - 2/33*r**3 - 1/33*r**6 + 0*r. Determine m so that q(m) = 0.
-1, 0
Let p = -15633/7 + 2227. Let z = -169/28 - p. Factor 1/2*s**2 - z*s + 0 - 1/4*s**3.
-s*(s - 1)**2/4
Let i(p) be the second derivative of -6*p**4 + 0 + 29*p - 2*p**2 - 22/3*p**3. Factor i(j).
-4*(2*j + 1)*(9*j + 1)
Let u(q) be the first derivative of 1/12*q**3 - 1/4*q**2 + 1/4*q - 6. Factor u(y).
(y - 1)**2/4
Let s(g) be the third derivative of g**8/280 + 4*g**7/75 + 11*g**6/450 - 22*g**5/225 + g**4/20 + 126*g**2. Find i such that s(i) = 0.
-9, -1, 0, 1/3
Let a(h) = -5*h**3 - 35*h**2 - 20*h + 5. Let b(x) = 21*x - 33*x + 2*x**3 - 1 + 22*x + 18*x**2 - 2. Let i(y) = -3*a(y) - 5*b(y). Let i(f) = 0. Calculate f.
-2, -1, 0
Determine f, given that -81/2*f**2 + 45/2*f**3 + 27*f + 1/2*f**5 - 11/2*f**4 + 0 = 0.
0, 2, 3
Let s be 22/6 - 6/(-18). Suppose -13 - 3 = -s*v. Factor 111 + f**2 - 2*f**5 - 111 - 3*f**v.
-f**2*(f + 1)**2*(2*f - 1)
Let o be (-1323)/(-245) + -9 + 28/7. Factor 12/5*b**2 + 18/5*b**3 + 8/5*b**4 + o*b + 0.
2*b*(b + 1)**2*(4*b + 1)/5
Let h(i) = -5*i**2 - 3*i - 1. Let v(f) = 11*f**2 + 5*f + 1. Let t = -6 + 17. Let q(j) = -j + 4. Let o be q(t). Let s(w) = o*h(w) - 3*v(w). Factor s(x).
2*(x + 1)*(x + 2)
Factor -2*c**4 + 0*c**4 + 5*c**4.
3*c**4
Solve 2 - 12968*q**2 + 12893*q**2 + 1 = 0 for q.
-1/5, 1/5
Let n(r) = 8*r**2 - 19. Let d(f) = 0*f**2 + 4*f**2 + 1 - 4 - 7. Let q(m) = -13*d(m) + 6*n(m). Factor q(t).
-4*(t - 2)*(t + 2)
Let x(b) = 10*b**3 + 136*b**2 + 266*b + 134. Let y(m) = -11*m**3 - 136*m**2 - 267*m - 135. Let f(n) = 7*x(n) + 6*y(n). Solve f(i) = 0.
-32, -1
Let n(z) be the first derivative of -z**3/21 - 23*z**2/14 - 54. Factor n(b).
-b*(b + 23)/7
Suppose -4*u = -4 - 8. Let f(k) = -15*k**2 - 145*k + 160. Let d(x) = 2*x**2 + 18*x - 20. Let n(g) = u*f(g) + 25*d(g). Factor n(q).
5*(q - 1)*(q + 4)
Let m be 7/2*32/224. Let u(d) be the first derivative of 13/24*d**3 + 3/16*d**4 + m*d + 1/40*d**5 + 3/4*d**2 - 1. Factor u(g).
(g + 1)**2*(g + 2)**2/8
Let v(i) = -i**4 - i**2 + 1. Suppose 7*j = 4*j + 30. Let c(w) = -6*w**4 - 18*w**3 - 86*w**2 + 5. Let n(p) = j*v(p) - 2*c(p). Factor n(y).
2*y**2*(y + 9)**2
Suppose 5*w = 2*x + 123, 14 = -x - w - 30. Let d be (-14)/x - 4/(-14). Factor 2/7*i**2 - 10/7*i**4 + 0 - 6/7*i**3 + 2/7*i - d*i**5.
-2*i*(i + 1)**3*(2*i - 1)/7
Let h be 126/(-72)*(-4)/98. Let d(m) be the second derivative of 8*m - 1/10*m**6 + h*m**7 + 0 + 0*m**3 + 0*m**2 + 0*m**4 + 0*m**5. Factor d(g).
3*g**4*(g - 1)
Let m(a) be the second derivative of a**7/147 - 2*a**6/105 - a**5