ctor -2/9*v + 10/9*v**2 + 0 - 14/9*v**3 + b*v**4.
2*v*(v - 1)**2*(3*v - 1)/9
Let y be (-35)/(-14) + 3/6. Suppose 3 = k - u + 4, 5*k + 5*u = 5. Factor -3 - 3*x**y + 3 - 3*x**2 + k.
-3*x**2*(x + 1)
Let p(r) be the first derivative of r**6/39 - 4*r**5/65 + r**4/78 + 2*r**3/39 + 9*r + 6. Let v(o) be the first derivative of p(o). Factor v(n).
2*n*(n - 1)**2*(5*n + 2)/13
Suppose -17*a = -16*a. Let v(j) be the first derivative of 0*j - 9*j**4 + 8/3*j**3 - 6 + a*j**2. Find x, given that v(x) = 0.
0, 2/9
Let u(k) = k - 6. Let y be u(2). Let n be -3 + (-2)/y*12. Factor -4 - 2*h**n + 4*h + 3*h**2 - 2*h**3 - 140*h**4 + 141*h**4.
(h - 2)**2*(h - 1)*(h + 1)
Factor -30*x**2 + 29/2*x - 1.
-(5*x - 2)*(12*x - 1)/2
Let f = 8306 + -8304. Determine j so that 192/7 + 3/7*j**f - 48/7*j = 0.
8
Let h(i) be the second derivative of i**7/2240 - i**6/160 + 3*i**5/80 - i**4/8 + 5*i**3/3 + 40*i. Let q(j) be the second derivative of h(j). Factor q(v).
3*(v - 2)**3/8
Let v(t) be the first derivative of 1/6*t**2 - 1/12*t**4 + 0*t + 0*t**3 - 4. Suppose v(b) = 0. What is b?
-1, 0, 1
Let w(g) be the first derivative of g**3/9 - 7*g**2/3 + 49*g/3 + 32. Factor w(o).
(o - 7)**2/3
Let s be -1*(5 + 128/(-24)). Let c(f) be the second derivative of 0 - s*f**4 - 1/5*f**5 + 0*f**3 + 0*f**2 - 3*f. Factor c(x).
-4*x**2*(x + 1)
Let d(l) be the second derivative of -l**5/90 + 19*l**4/54 - 74*l**3/27 + 56*l**2/9 + 26*l - 3. Factor d(m).
-2*(m - 14)*(m - 4)*(m - 1)/9
Let a(z) be the first derivative of 1/21*z**6 + 9 - 2/35*z**5 + 10/21*z**3 - 3/14*z**4 + 0*z - 2/7*z**2. Suppose a(i) = 0. Calculate i.
-2, 0, 1
Let t be -1 + -6 - 377/(-29). Let k(c) be the third derivative of 0*c**4 + 1/90*c**5 + 1/90*c**t + 0 + 6*c**2 + 0*c + 0*c**3. Solve k(o) = 0 for o.
-1/2, 0
Let o(m) = -15*m**2 + 45*m - 5. Let w(p) = p**3 - 15*p**2 + 44*p - 6. Let h(z) = 6*o(z) - 5*w(z). Solve h(r) = 0.
-5, 0, 2
Suppose 5*r - 15 = -5*t, -8*r = -12*r - 5*t + 9. Let j(a) be the third derivative of -7*a**2 + 0*a**3 + 1/20*a**5 + 0 + 3/40*a**r - 1/4*a**4 + 0*a. Factor j(x).
3*x*(x + 1)*(3*x - 2)
Let w(b) be the first derivative of -b**8/420 + b**7/105 - b**6/90 + 20*b**3/3 + 13. Let a(k) be the third derivative of w(k). Let a(q) = 0. Calculate q.
0, 1
Suppose -3*n - 2*o + 106 = 0, -231*n = -226*n - o - 155. Factor -10*i**2 + 128/3 + 2/3*i**3 + n*i.
2*(i - 8)**2*(i + 1)/3
Let j = 4835 - 9595/2. Factor 30*z + 12*z**5 - 6 - j*z**2 + 30*z**4 - 15*z**3.
3*(z + 2)**2*(2*z - 1)**3/2
Let m = -4 + 6. Find q, given that -21 - 3*q**2 + 21 - 2*q**m - 5*q = 0.
-1, 0
Let k(t) be the second derivative of t**7/4200 + t**6/900 + t**5/600 - t**3/6 + 2*t. Let l(d) be the second derivative of k(d). Factor l(v).
v*(v + 1)**2/5
Suppose 12/7*r**2 + 0 + 8/7*r - 32/7*r**3 + 12/7*r**4 = 0. What is r?
-1/3, 0, 1, 2
Let w = 4616/5 - 919. Factor 54/5*f**2 + 24/5*f**4 + 3/5 + 12*f**3 + w*f.
3*(f + 1)*(2*f + 1)**3/5
Let i(q) be the first derivative of q**6/17 + 74*q**5/85 + 135*q**4/34 + 334*q**3/51 + 42*q**2/17 - 119. Determine y so that i(y) = 0.
-7, -3, -2, -1/3, 0
Let a = 41/301 + 2/301. Find h such that -3/7*h + 2/7 + a*h**2 = 0.
1, 2
Let y(a) be the third derivative of -a**7/840 - a**6/40 - a**5/5 - 2*a**4/3 - 13*a**2. Factor y(v).
-v*(v + 4)**3/4
Let o(m) be the first derivative of -3 + 1/6*m**3 - 1/4*m**4 + 1/2*m**2 + 0*m - 1/10*m**5. Factor o(p).
-p*(p - 1)*(p + 1)*(p + 2)/2
Let t = -1268 - -1271. Let m(g) be the second derivative of -8*g + 1/3*g**t + 4/3*g**2 - 1/18*g**4 + 0. Factor m(d).
-2*(d - 4)*(d + 1)/3
Let u(o) be the third derivative of o**6/10 + 9*o**5/10 - 39*o**4/32 + 5*o**3/8 + 34*o**2 + 1. Solve u(b) = 0.
-5, 1/4
Suppose p + k = 5*p - 8, 0 = 5*p - 4*k + 1. Factor 20*h**4 + 3*h**p - 14*h**2 - 5*h**4 - 3*h + 0*h**2 - h**2.
3*h*(h - 1)*(h + 1)*(5*h + 1)
Let j(m) be the second derivative of -m**7/126 + 7*m**6/90 + 3*m**5/10 + m**4/18 - 17*m**3/18 - 3*m**2/2 + 124*m. Factor j(w).
-(w - 9)*(w - 1)*(w + 1)**3/3
Suppose -2*w = -5*w + 12. Determine z so that 32 + 20*z**2 - 48*z + w*z**2 - z**3 - 2*z**3 - z**3 = 0.
2
Let o(l) be the second derivative of -l**8/33600 - l**7/1800 + 3*l**4/2 + l - 6. Let p(f) be the third derivative of o(f). Solve p(x) = 0 for x.
-7, 0
Let i = 1149/8 - 1145/8. Factor -i*s + 1/4*s**4 + 0 - 1/4*s**2 + 1/2*s**3.
s*(s - 1)*(s + 1)*(s + 2)/4
Let u be (-1 - 4)/(-7 - -6). Solve -3*s**4 + s - 3*s**3 + 3*s**2 - u*s**3 + 5*s + 3*s**5 - s**3 = 0 for s.
-1, 0, 1, 2
Let y(b) be the third derivative of -b**9/272160 + b**8/30240 + b**5/20 + 5*b**2. Let k(a) be the third derivative of y(a). Factor k(l).
-2*l**2*(l - 3)/9
Let j(t) be the first derivative of -t**6/13 + 8*t**5/65 + 7*t**4/13 + 8*t**3/39 - 3*t**2/13 - 74. Solve j(u) = 0.
-1, 0, 1/3, 3
Let -8/3 - 274*d**3 - 128/3*d + 598/3*d**2 + 120*d**4 = 0. What is d?
-1/20, 2/3, 1
Let n be ((-1628)/(-550) + -2)/(15/25). Factor -28/5*r**2 + n*r + 0 + 12/5*r**3.
4*r*(r - 2)*(3*r - 1)/5
Let x = -4 + 9. Suppose -7 - 4 = -f + x*p, 4*f + 5*p - 19 = 0. Let -2*t**2 + f*t + 133 - 133 = 0. What is t?
0, 3
Let r be (-3460)/40 + (-3)/8. Let x = 87 + r. Factor x*j**2 + 0 + 0*j**3 - 1/8*j**4 + 0*j.
-j**2*(j - 1)*(j + 1)/8
Let p(g) = 2*g - 10. Let i be 2/8 - (-81)/12. Let h be p(i). Suppose -y**2 - h + 1 + 4*y**2 = 0. Calculate y.
-1, 1
Suppose -2*r + 3*j - 4 = 0, -r + 2*j - 2 = -0. Let w be (-1)/5 - (r - 3/(-5)). Factor 0 + 0*x - w*x**3 + 4/5*x**2.
-2*x**2*(3*x - 2)/5
Let k(c) = -c**2 + 4*c + 46. Let l be k(8). Let 33 + 10*m**2 - 97 - 32*m - l*m**2 = 0. What is m?
-4
Let s(h) be the second derivative of -25*h**7/42 - 16*h**6/3 - 17*h**5/4 + 295*h**4/6 + 370*h**3/3 + 100*h**2 + 11*h + 2. Determine d so that s(d) = 0.
-5, -2, -1, -2/5, 2
Let w(s) be the first derivative of 4*s**5/35 + 16*s**4/7 - 4*s**3/21 - 32*s**2/7 + 361. Factor w(d).
4*d*(d - 1)*(d + 1)*(d + 16)/7
Let w(p) be the second derivative of -1/25*p**5 - 11*p + 0*p**4 + 1/10*p**2 + 0 + 1/10*p**3. Factor w(b).
-(b - 1)*(2*b + 1)**2/5
Suppose 5*w - i = 2*w + 23, -5*i + 5 = 0. Factor 25*d**2 - 5*d**4 + 10*d - w*d**5 + 15*d**3 + 7*d**5 - 7*d**5 + 3*d**5.
-5*d*(d - 2)*(d + 1)**3
Let v be (27/15)/(1/15). Factor v*g + 2*g**3 - 14*g**2 - 10 - 14*g + 9*g.
2*(g - 5)*(g - 1)**2
Let k be (5/(-1))/((57/(-19))/((-45)/(-25))). Factor -18/13*h**2 - 54/13*h - 54/13 - 2/13*h**k.
-2*(h + 3)**3/13
Let w(i) = -3*i**2 - 330*i - 10427. Let f(q) = -2*q**2 - 221*q - 6952. Let x(d) = -8*f(d) + 5*w(d). What is r in x(r) = 0?
-59
Let k be (-10)/(-3) - ((-39)/9)/(-13). Suppose -5*a = 0, -2 = -r - k*a - 0. Find u such that -1/3*u**r + 2/3*u + 1 = 0.
-1, 3
Solve -4/3*p**3 + 12*p**2 + 64*p + 208/3 = 0.
-2, 13
Let i be -3 + 69/18 - 35/(-1470). Find k such that -2/7*k**3 - 6/7*k - i*k**2 - 2/7 = 0.
-1
Factor -v - 5 - 7*v**2 + 9*v**4 - 47*v**3 + 38*v**2 + 2 + 11*v**4.
(v - 1)**2*(4*v + 1)*(5*v - 3)
What is j in 72/5*j - 78/5*j**2 - 72/5*j**3 + 3/5*j**4 + 15 = 0?
-1, 1, 25
Let g(z) be the third derivative of z**6/180 - z**4/12 + 2*z**3/9 + 21*z**2 - 1. Factor g(f).
2*(f - 1)**2*(f + 2)/3
Let d(o) be the second derivative of 2/39*o**3 - 1/78*o**4 + 0 + 25*o - 1/13*o**2. Factor d(c).
-2*(c - 1)**2/13
Let m(o) = o**5 - 2*o**3 + 1. Let h(q) = 85*q**5 - 245*q**4 + 205*q**3 - 20*q + 25. Let f(p) = h(p) - 25*m(p). Let f(i) = 0. Calculate i.
-1/4, 0, 1/3, 2
Let a(t) be the second derivative of t**7/147 + t**6/21 + t**5/35 - 10*t**4/21 - 8*t**3/7 + 34*t + 5. Determine z, given that a(z) = 0.
-3, -2, 0, 2
Let l(m) be the second derivative of -m**5/20 + 9*m**4/4 - 81*m**3/2 + 729*m**2/2 + 2*m + 17. Factor l(a).
-(a - 9)**3
Let u(s) be the first derivative of s**3/6 + 25*s**2/2 - 543. Factor u(h).
h*(h + 50)/2
Let o = 299/6 + -2069/42. Determine m, given that 2/7*m**2 + 2/7 - o*m = 0.
1
Let a(r) = r**2 + 16*r - 9. Let n be a(-17). Factor -25*v**2 + 2*v - n*v + 22*v**2.
-3*v*(v + 2)
Suppose -4*p = 5*w - 28, -3*p + 6 + 0 = 0. Suppose 2*y = -5*q - 25, w*y + 4*q + 3 = -17. Factor -1/4*u**4 - 1/4*u**5 + 0*u**2 + 0 + y*u + 1/2*u**3.
-u**3*(u - 1)*(u + 2)/4
Let b(t) = -28*t**2 + 56*t - 12. Let f be (-4*12/(-32))/((-3)/16). Let p(s) = 9*s**2 - 19*s + 4. Let l(j) = f*p(j) - 3*b(j). Suppose l(a) = 0. What is a?
1/3, 1
Let s(d) be the first derivative of d**5/70 - d**4/21 - d**3/21 + 2*d**2/7 + 8*d - 15. Let o(k) be the first derivative of s(k). Factor o(x).
2*(x - 2)*(x - 1)*(x + 1)/7
S