1/2*q**o = 0.
0, 1, 2
Let a(r) be the third derivative of -r**5/100 - r**4/10 + 9*r**3/2 - 9*r**2 - 49. Solve a(d) = 0.
-9, 5
Let p(v) be the first derivative of 4*v**5/5 + 16*v**4 + 256*v**3/3 + 244. Factor p(d).
4*d**2*(d + 8)**2
Let p(a) be the second derivative of 2*a**7/21 + 16*a**6/15 + 22*a**5/5 + 28*a**4/3 + 34*a**3/3 + 8*a**2 - 81*a. Factor p(c).
4*(c + 1)**4*(c + 4)
Let r(x) be the second derivative of -x**4/6 + 17*x**3/3 - 16*x**2 + 42*x. Factor r(s).
-2*(s - 16)*(s - 1)
Factor -1/5*o**4 - 18/5*o + 18/5*o**3 + 81/5 - 16*o**2.
-(o - 9)**2*(o - 1)*(o + 1)/5
Let s be 1621/(-15) + (-56)/(-140). Let l = s - -108. Factor 1/6*o**3 - 1/3*o**2 - 1/6*o + l.
(o - 2)*(o - 1)*(o + 1)/6
Factor -51/5*w**4 + 48/5*w**3 + 0*w + 0 + 0*w**2 + 3/5*w**5.
3*w**3*(w - 16)*(w - 1)/5
Let q(l) be the second derivative of -3/20*l**5 - 2*l + 1/2*l**3 + 0 - 1/12*l**4 + 1/2*l**2. Factor q(b).
-(b - 1)*(b + 1)*(3*b + 1)
Let f = 1828 + -1825. Let t(j) be the third derivative of -7/48*j**4 - 1/420*j**7 - 1/6*j**f + 0 - 8*j**2 - 3/40*j**5 - 1/48*j**6 + 0*j. Factor t(y).
-(y + 1)**3*(y + 2)/2
Let n be 5/((-140)/(-8)) + 160/28. Let t(a) be the third derivative of -1/60*a**5 - 1/18*a**3 + 1/24*a**4 + 0*a + 0 + 1/360*a**n - 5*a**2. Factor t(k).
(k - 1)**3/3
Let u(i) be the second derivative of 1/4*i**4 + 9/2*i**2 + 0 - 10*i + 2*i**3. Factor u(f).
3*(f + 1)*(f + 3)
Let k = 15208 - 136856/9. Let k*m + 2/9*m**5 + 2/9*m**2 - 10/9*m**3 + 8/9 - 2/9*m**4 = 0. What is m?
-1, 2
Let o(w) = -5*w**2 - 3*w. Let r(s) = 14*s**2 + 8*s. Suppose -5*j + 85 = -3*n, 3*n + 2*n = 2*j - 34. Let t(k) = j*o(k) + 6*r(k). Factor t(v).
-v*(v + 3)
Let r(y) be the first derivative of y**5/20 + y**4/24 + 36*y - 47. Let k(o) be the first derivative of r(o). Solve k(v) = 0 for v.
-1/2, 0
Solve 0*l + 0*l**2 + 0 + 4/9*l**3 + 2/9*l**4 - 2/9*l**5 = 0.
-1, 0, 2
Suppose 9*r - 17 = 10. Factor 6*j**5 - 45*j**r - 12*j - 3*j**5 - 6*j**5 + 12*j**2 + 27*j**2 + 21*j**4.
-3*j*(j - 4)*(j - 1)**3
Suppose -2*v + 5*v = v. Suppose v = -5*u + 4 + 6. What is s in 6/7*s - 4/7 - 2/7*s**u = 0?
1, 2
Let u be 2/(-3)*6/(-4). Let k be (9 + -7)*(1 + u). Suppose k*i + i**3 - 8*i**2 + i**3 + 8 - 6*i**3 = 0. Calculate i.
-2, -1, 1
Suppose 49*w - 83*w = -68. Factor 1/6 - 2/3*u**w - 1/2*u.
-(u + 1)*(4*u - 1)/6
Let r = 852 - 849. Let u(t) be the second derivative of -1/48*t**4 + 1/80*t**5 + 0*t**2 + 0 + 1/120*t**6 - 1/24*t**r + 8*t. Factor u(m).
m*(m - 1)*(m + 1)**2/4
Let i(a) be the third derivative of -a**5/20 - 69*a**4/4 - 4761*a**3/2 - 187*a**2. Factor i(p).
-3*(p + 69)**2
Let d(s) be the second derivative of 0 - s - 1/21*s**4 + 2/147*s**7 + 0*s**2 + 0*s**3 - 1/35*s**5 + 2/105*s**6. Determine t so that d(t) = 0.
-1, 0, 1
Let l(c) be the second derivative of -16*c + 0*c**2 + 0*c**3 + 1/110*c**5 + 0*c**4 - 1/165*c**6 + 0. Factor l(a).
-2*a**3*(a - 1)/11
Let 0*x**4 + 13*x**3 + 4*x**5 + 4*x**4 - 31*x**3 + 10*x**3 = 0. What is x?
-2, 0, 1
Let x = 0 + 6/5. Suppose 0 = -a + 3*a - 3*q + 8, 2*q - 12 = -2*a. Factor -4/5 - x*j**a + 2/5*j**4 - 2*j + 2/5*j**3.
2*(j - 2)*(j + 1)**3/5
Let y(x) be the first derivative of -x**4/4 + 6*x**3 + 20*x**2 + 150. Factor y(l).
-l*(l - 20)*(l + 2)
Let x(m) = 24*m**2 - 8*m. Let h(o) = -23*o**2 + 8*o. Let g(w) = -3*h(w) - 2*x(w). Let j(i) = -5*i**2 + 2*i. Let b(f) = -4*g(f) - 18*j(f). Solve b(z) = 0 for z.
0, 2/3
Let w(z) be the third derivative of z**6/600 - z**5/30 + z**4/10 + 12*z**3/5 + 2*z**2 - 37. Factor w(l).
(l - 6)**2*(l + 2)/5
Let g(n) be the second derivative of -n**6/840 - n**5/70 + n**4/168 + n**3/7 + 16*n**2 - 7*n. Let v(h) be the first derivative of g(h). Factor v(c).
-(c - 1)*(c + 1)*(c + 6)/7
Let y(h) = h**2 + 10*h + 4. Let z be y(-10). Suppose n - 4 = -4*q + z, 0 = -2*q - 5*n - 14. Factor -2/5*w**q + 0*w + 0*w**2 + 0 + 2/5*w**5 + 0*w**4.
2*w**3*(w - 1)*(w + 1)/5
Determine f, given that -2*f**2 - 35015*f - f**2 + 35045*f + 33 = 0.
-1, 11
Factor -16*t**3 - 3384 + 3484 - 78*t**2 - 10*t**3 + 192*t**2 + 2*t**4 - 190*t.
2*(t - 5)**2*(t - 2)*(t - 1)
Suppose -106*y + 104*y + 6 = -5*h, -3*h - 3*y = -30. Factor i + 5/2*i**h + 0.
i*(5*i + 2)/2
Factor -9*m + 34*m**2 + 32*m**2 - 59*m**2 - 39 + 97*m.
(m + 13)*(7*m - 3)
Suppose 0 = 11*x + 3*x - 336. Suppose 0 = 6*l - 14*l + x. Let 1 - 8/3*v - 1/3*v**4 + 0*v**l + 2*v**2 = 0. Calculate v.
-3, 1
Let 1/8*m**2 + 55/8 - 7*m = 0. Calculate m.
1, 55
Let f = 6515/42432 + 1/3264. Suppose f*m**3 - 32/13 + 14/13*m**2 + 16/13*m = 0. Calculate m.
-4, 1
Let m(h) be the third derivative of -h**6/12 + 14*h**5/15 + 47*h**4/12 + 14*h**3/3 - 7*h**2 - 14. Determine k, given that m(k) = 0.
-1, -2/5, 7
Let f(q) be the third derivative of 1/70*q**7 + 0*q + 1/16*q**4 + 1/16*q**6 + 1/10*q**5 + 0 - 2*q**2 + 0*q**3. Factor f(u).
3*u*(u + 1)**2*(2*u + 1)/2
Let o(w) = -5*w**2 + 2*w - 2. Let b(z) = -z**2 - z - 1. Let a(c) = 6*b(c) - o(c). Let m be a(-7). Factor 4/9*p**2 - 2/9*p**m - 4/9 + 2/9*p.
-2*(p - 2)*(p - 1)*(p + 1)/9
Let d = 9593 + -47964/5. Suppose 3/5 + d*g**2 + 4/5*g = 0. Calculate g.
-3, -1
Factor -11*d**2 + 6*d - 13*d**3 - 51*d**4 + 48*d**4 - 8*d**3 + 6*d**3 - 5*d**3.
-d*(d + 1)*(d + 6)*(3*d - 1)
Let j(o) be the third derivative of 0 + 3*o**2 - 2/27*o**3 + 0*o + 7/270*o**5 + 5/108*o**4. Factor j(m).
2*(m + 1)*(7*m - 2)/9
Suppose -2*u + x = 3*u - 169, 4*x - 174 = -5*u. Let d = 37 - u. Suppose 6*v**2 + 9*v + 4*v**2 + v**3 - 19*v**2 - d + 2*v**3 = 0. Calculate v.
1
Let w = 2885 - 2882. Factor 0*q**2 - 2/15*q**w + 2/5*q - 4/15.
-2*(q - 1)**2*(q + 2)/15
Let f(p) = 2*p. Let q be f(1). Let a be (-5 - -5)/((3 + -4)*-2). Find h, given that -h**4 + 1/3 - q*h**2 + a*h - 8/3*h**3 = 0.
-1, 1/3
Let d(a) be the second derivative of -a**4/96 + 7*a**3/16 - 5*a**2/4 - a + 189. Factor d(w).
-(w - 20)*(w - 1)/8
Let z = 19 - -5. Let p be 15/(-25)*(z/9)/(-2). Factor p*k**3 - 4/5*k - 2/5*k**4 + 2/5 + 0*k**2.
-2*(k - 1)**3*(k + 1)/5
Let l(s) = -12*s**2 + 6*s - 7. Let j be l(3). Let u = j + 97. Solve -2/9*p**4 + 2/9*p + u + 2/9*p**2 - 2/9*p**3 = 0.
-1, 0, 1
Suppose 0 = -o - 11 + 5. Let j be (o/(-20))/(6/12). Factor 3/5*w**3 + 0*w - 3/5*w**4 + j*w**2 + 0 - 3/5*w**5.
-3*w**2*(w - 1)*(w + 1)**2/5
Let 3/5*h + 12/5*h**4 + 3/5*h**5 + 12/5*h**2 + 18/5*h**3 + 0 = 0. Calculate h.
-1, 0
Let i = 10 - 18. Let b be -19 + 32 - i/(-2). What is m in 10*m**3 - 6*m**2 + m - b*m**3 + 4*m**2 = 0?
0, 1
Suppose 22/3*s + 2/3*s**2 + 12 = 0. What is s?
-9, -2
Let q = 2851/6 + -475. Let n(u) be the first derivative of 0*u + 3/4*u**2 - q*u**3 + 4. Factor n(x).
-x*(x - 3)/2
Let a(r) be the second derivative of -r**7/70 + r**6/40 + 3*r**5/20 - r**4/8 - r**3 + 19*r**2 + 18*r - 2. Let j(b) be the first derivative of a(b). Factor j(m).
-3*(m - 2)*(m - 1)*(m + 1)**2
Find m such that -93*m - m**3 - 82*m - 2 + 16*m**2 + 2 + 160*m**2 = 0.
0, 1, 175
Factor 1016/5*a + 2/5*a**2 + 129032/5.
2*(a + 254)**2/5
Suppose -2*a - 4*t + 11 = -3, -5*t + 11 = -4*a. Factor 7*g**5 - 3*g + 12*g**4 - 125*g**3 + a - 14*g**2 + 1 + 121*g**3.
(g - 1)*(g + 1)**3*(7*g - 2)
Let l(p) be the third derivative of -p**5/150 - 37*p**4/30 - 1369*p**3/15 + 186*p**2. Factor l(g).
-2*(g + 37)**2/5
Let a be 1/7*(-58)/(-174). Let t(z) be the third derivative of -15*z**2 + 8/21*z**3 + 1/420*z**5 + 0*z + 0 - a*z**4. Find w, given that t(w) = 0.
4
Solve 2/3*l**5 + 0 + 4/9*l**2 + 2*l**3 + 20/9*l**4 + 0*l = 0 for l.
-2, -1, -1/3, 0
Let p(l) be the second derivative of -l**7/42 - 4*l**6/25 - l**5/10 + 4*l**4/5 - 3*l**3/10 + 192*l + 1. Determine o, given that p(o) = 0.
-3, 0, 1/5, 1
Let -72 + 3*a - 109*a**3 + 223*a**3 + 72*a**2 - 117*a**3 = 0. Calculate a.
-1, 1, 24
Let v(j) be the second derivative of -j**4/48 - j**3/4 + 9*j**2 - 320*j. Factor v(p).
-(p - 6)*(p + 12)/4
Suppose 0*s + 2*s - 2*j - 60 = 0, 3*j = 15. Let o = s + -32. Let 5/4*m**2 + 3/4*m**o + 0 - 1/4*m**5 - 1/4*m**4 + 1/2*m = 0. Calculate m.
-1, 0, 2
Let r(q) = 1136*q - 20446. Let o be r(18). Factor 18/11 - 2/11*v**o + 0*v.
-2*(v - 3)*(v + 3)/11
Let q = 64 - 73. Let k be (12/q)/(2/(-3)). Factor 0 + 0*v**k + 2/3*v - 2/3*v**3.
-2*v*(v - 1)*(v + 1)/3
Solve 75*l - 8 - 45*l - 7*l**2 - 44*l + l**3 - 2*l**3 = 0.
-4, -2, -1
Let r(i) = 9*i + 24. Let b be r(-2). Let s(f) be the first derivative of 1 + 4/3*f**b + 0*f**5 + 0*f - 2/3*f**3 - 3/2*f**4 + 0*f**2. What is d in s(d) = 0?
-1/2, 0, 1
Let t(y) = 8*y**2 - 7*y + 5*y**3 + 