 + 2)*(3*g - 1)/2
Let g(v) = -v**3 + v**2 - v - 1. Let o(i) = -4*i**4 - 12*i**3 + 20*i**2 - 20*i - 16. Let n(z) = -16*g(z) + o(z). Factor n(f).
-4*f*(f - 1)**2*(f + 1)
Let d(y) = -y**2 - y + 1. Let z(k) = 3*k + 9. Let r(f) = 3*d(f) + z(f). Factor r(t).
-3*(t - 2)*(t + 2)
Let v(w) be the first derivative of -15*w - 7*w**3 + 19 - 33/2*w**2 - 3/4*w**4. Factor v(p).
-3*(p + 1)**2*(p + 5)
Let j(u) be the first derivative of 2*u**5/25 + 158*u**4/5 + 49292*u**3/15 - 50244*u**2/5 + 50562*u/5 - 353. Determine n so that j(n) = 0.
-159, 1
Let v = -832/7 + 7502/63. Factor 2/3 - 2/3*i**2 + v*i**3 - 2/9*i.
2*(i - 3)*(i - 1)*(i + 1)/9
Suppose 0 = 2*k - 10 + 2. Suppose -3*d - 4*l + 2 = -27, d = 4*l - 17. Determine x so that x**k + 5*x + x + 0*x**3 + d*x**3 - 5*x + 3*x**2 = 0.
-1, 0
Let c be ((-19)/((-855)/72))/4. Find n, given that 8/5 - 2/5*n**2 - 8/5*n + c*n**3 = 0.
-2, 1, 2
Let l be ((-856)/(-4066))/((-4)/(-38)). Suppose 2/7*h - 2/7*h**l + 0 = 0. What is h?
0, 1
Factor 0 - 1/2*t**3 - 1/6*t**4 + 5/6*t**2 - 1/3*t + 1/6*t**5.
t*(t - 1)**3*(t + 2)/6
Let x = 2/19093 + 57269/95465. Factor 3/5*d**4 + 2/5*d**3 - x*d - 1/5 - 2/5*d**2 + 1/5*d**5.
(d - 1)*(d + 1)**4/5
Find a such that -11774678882*a - 2/5*a**5 + 3261586050314/5 - 306916*a**3 + 85015732*a**2 + 554*a**4 = 0.
277
Factor -20 + 25/3*w**3 + 55*w**2 + 80/3*w.
5*(w + 1)*(w + 6)*(5*w - 2)/3
Let l(k) = k + 17. Let n be l(-11). Let m be (1*3)/(-1 + -4 + n). Factor -2/5*c + 2/5*c**m + 0*c**2 + 0.
2*c*(c - 1)*(c + 1)/5
Let s(m) be the third derivative of -m**7/2100 - m**6/225 - m**5/75 - 11*m**3/6 + 9*m**2. Let l(r) be the first derivative of s(r). What is y in l(y) = 0?
-2, 0
Let c(o) = 3*o**2 + 75*o + 185. Let z(w) = -2*w**2 - 38*w - 94. Let s(n) = 2*c(n) + 5*z(n). What is d in s(d) = 0?
-5
Let i(y) be the first derivative of 3*y**3 - 6*y - 3/5*y**5 - 3/2*y**2 + 3/4*y**4 + 4. Factor i(q).
-3*(q - 2)*(q - 1)*(q + 1)**2
Let y(g) be the first derivative of g**4/4 + 13*g**3/6 + 11*g**2/2 + 4*g + 66. Factor y(i).
(i + 2)*(i + 4)*(2*i + 1)/2
Suppose 23*l - 75 = 17. Let s(y) be the third derivative of 1/2*y**l + 0*y**3 + 4*y**2 + 1/15*y**5 + 0*y + 0. Suppose s(r) = 0. Calculate r.
-3, 0
Suppose -28*c + 5 = -23*c. Let z be (c/(-3))/(13/(-78)). Suppose 0*f + 1/2*f**3 + 1/4*f**z + 1/4*f**4 + 0 = 0. What is f?
-1, 0
Let m be (4/90)/(46/138). Let x(p) be the third derivative of 0*p + 1/1050*p**7 - 1/100*p**5 - 1/300*p**6 + m*p**3 + 1/30*p**4 + 0 + 8*p**2. Factor x(q).
(q - 2)**2*(q + 1)**2/5
Let a(o) be the third derivative of o**6/90 + 2*o**5/15 - 5*o**4/6 + 13*o**3/6 + 11*o**2. Let t(m) be the first derivative of a(m). Factor t(p).
4*(p - 1)*(p + 5)
Let h(g) be the third derivative of -2*g**7/315 - 2*g**6/45 - 4*g**5/45 - 220*g**2. Suppose h(k) = 0. What is k?
-2, 0
Let 8000 - 34*m**3 + 2820*m**2 - 8800*m + 30*m**3 + 13*m**4 - 216*m**3 - 8*m**4 = 0. Calculate m.
2, 20
Let t(l) be the first derivative of 13 - 6*l - 2/3*l**3 + 4*l**2. Determine b, given that t(b) = 0.
1, 3
Let j(g) be the third derivative of g**2 - 1/30*g**6 - 2/105*g**7 + 1/6*g**4 + 0*g + 12 + 1/15*g**5 + 0*g**3. Find v such that j(v) = 0.
-1, 0, 1
Factor 64/9*o + 2/9*o**2 - 136/9.
2*(o - 2)*(o + 34)/9
Let f(z) be the first derivative of 3/8*z**4 - 1/20*z**5 + 0*z + 0*z**3 - 2 - 2*z**2. Let d(m) be the second derivative of f(m). Solve d(u) = 0.
0, 3
Let n(z) = z**3 + 4*z**2 + 2*z + 2. Let i be n(-2). Let b be 4/i - 24/(-18). Factor 1/3*l**b - 1/3*l**3 + 0*l + 0.
-l**2*(l - 1)/3
Let g(d) be the second derivative of -d**6/45 + 13*d**5/150 + 43*d**4/45 + 92*d**3/45 + 8*d**2/5 - 244*d. Let g(k) = 0. Calculate k.
-2, -1, -2/5, 6
Let c(h) be the second derivative of h**5/50 - h**4/15 - 4*h**3/15 + 8*h**2/5 + h. Solve c(y) = 0 for y.
-2, 2
Suppose -9*d = -265 - 113. Let z be (7 + -13)*(-3)/(d/4). Factor 2/7*f**2 + 18/7 - z*f.
2*(f - 3)**2/7
Let w = -7 + 12. Factor -26 - 2*l**4 + 16*l**2 - 6 + w*l**4 - 5*l**4.
-2*(l - 2)**2*(l + 2)**2
Let f(r) be the second derivative of r**8/20160 + r**7/1512 + 7*r**6/2160 + r**5/120 - 5*r**4/4 + 12*r. Let q(d) be the third derivative of f(d). Factor q(z).
(z + 1)**2*(z + 3)/3
Let t(o) be the first derivative of 1/20*o**4 + 10 + 1/10*o**2 + 2/15*o**3 + 0*o. Factor t(c).
c*(c + 1)**2/5
Let c(j) = 35*j**5 - 110*j**4 + 675*j**3 - 1100*j**2 + 470*j + 30. Let o(y) = y**5 - y**3 - y + 1. Let r(w) = c(w) - 30*o(w). Factor r(s).
5*s*(s - 10)**2*(s - 1)**2
Factor 2/3*v - 28/9 + 10/9*v**2.
2*(v + 2)*(5*v - 7)/9
Let f be (18/(-12))/(-2 - 133). Let a(y) be the third derivative of 16/9*y**3 + 0 + 2/9*y**4 + f*y**5 + 8*y**2 + 0*y. Factor a(c).
2*(c + 4)**2/3
Let k(y) = 3*y - 2*y + 0 + 6 - 2*y. Let m be k(4). Solve -f + 17*f**m + 13*f + 2 + 7*f**2 + f**3 + 15*f**3 = 0 for f.
-1/2
Let n be 0/(-10)*2/4. Suppose 72 = -n*z + 6*z. Factor -z + 20*b - 3*b**4 - 22 + 15*b**2 + 14 - 20*b**3 + 8*b**4.
5*(b - 2)**2*(b - 1)*(b + 1)
Let s(u) be the first derivative of 21 - 3/20*u**5 + 0*u**2 + 3/2*u**4 + 3*u**3 + 0*u - 1/8*u**6. Solve s(j) = 0.
-2, 0, 3
Let n = -25 + 29. Suppose -5*z + 15 = -2*z - 3*k, n*z - 2*k = 14. Factor l**2 + 5*l**2 + 0*l**3 - 2*l**z + l**3 + 4*l.
l*(l + 2)**2
Let y be (-3)/(-15)*-3 - (-67)/20. Let u(j) be the second derivative of j**2 + y*j**4 + 3*j + 0 - 17/6*j**3. Factor u(z).
(3*z - 1)*(11*z - 2)
Let w(x) = 120*x + 242. Let s be w(-2). Determine f, given that 1/4*f**4 + 0*f + 5/4*f**3 - 3/2*f**s + 0 = 0.
-6, 0, 1
Let v(o) be the first derivative of o**3/3 - 21*o**2/2 - 46*o - 826. Factor v(g).
(g - 23)*(g + 2)
Let z(y) be the first derivative of -y**9/1512 - y**8/840 + y**7/420 + y**6/180 + 2*y**3 + 3. Let j(l) be the third derivative of z(l). Factor j(g).
-2*g**2*(g - 1)*(g + 1)**2
Suppose 12*h + 28 = 160. Factor -h*x + 2*x**2 - 14*x - 6*x**2 + 13*x.
-4*x*(x + 3)
Let x(s) be the third derivative of 7*s**6/160 - 23*s**5/80 + 3*s**4/16 + 478*s**2. Factor x(i).
3*i*(i - 3)*(7*i - 2)/4
Let o(a) = -a**3 + 3*a**2 - a + 1. Let m(u) = -4*u**3 + 32*u**2 - 12*u. Let l(n) = m(n) - 8*o(n). Factor l(w).
4*(w - 1)*(w + 1)*(w + 2)
Let z(c) = 12*c**2 - 7*c + 29. Let o be z(-11). Factor -l - o*l**4 - 6*l**2 + l + 1561*l**4 + 3.
3*(l - 1)**2*(l + 1)**2
Let g(d) = d**3 - 15*d**2 - 2*d + 18. Let j be g(15). Let k be 3/(-4) - 57/j. What is i in 6*i**3 + 10*i - 4*i - k*i**3 + 2*i**2 - 10*i = 0?
-2, 0, 1
Suppose -10*f + 25 = -35. Factor -3*x**2 + 2*x**3 + 16*x**2 - 3*x**2 + 0*x + f*x - 2*x**4.
-2*x*(x - 3)*(x + 1)**2
Let t be (-8)/(56/(-7))*(8 + -8). Find p such that 1/4*p**4 + 0 + p - 3/4*p**3 + t*p**2 = 0.
-1, 0, 2
Suppose -2*b + 7 = -1. Suppose -o - 4*g = 18, 4*g = 5*o + b - 34. Suppose -l**2 + 0*l**o - 9*l - 6 + 0 - 2*l**2 = 0. Calculate l.
-2, -1
Let c(r) be the third derivative of 0*r**3 + 18*r**2 + 0 + 0*r**4 - 1/180*r**6 - 1/630*r**7 - 1/180*r**5 + 0*r. Factor c(o).
-o**2*(o + 1)**2/3
Find l, given that -26/19*l**2 + 0 - 2/19*l**3 - 24/19*l = 0.
-12, -1, 0
Let l(w) be the second derivative of -w**5/10 - 7*w**4/6 - 11*w**3/3 - 5*w**2 - 87*w. Factor l(s).
-2*(s + 1)**2*(s + 5)
Let 17*p - p**2 - 17*p - 84 - 2*p**2 + 48*p = 0. What is p?
2, 14
Suppose 5*p - 2 = 2*q, -10*p + 3*q + 3 = -11*p. Let k(t) be the first derivative of -5 + p*t**2 + 0*t + 1/12*t**3. Determine a, given that k(a) = 0.
0
Factor -528/13*n**2 - 2/13*n**4 + 60/13*n**3 + 7986/13 + 484/13*n.
-2*(n - 11)**3*(n + 3)/13
Suppose 6*x = 3*x - 816. Let b be x/(-24) + 4/(-3). Factor 2*t - 3*t**2 - 3*t**2 + 5*t - 3*t**3 - b*t.
-3*t*(t + 1)**2
Let z be (1 - 2)/((-1)/(-8)*-2). Find g such that 7*g + 13*g + 2382 - z*g**2 - 2406 = 0.
2, 3
Let j(h) be the first derivative of -h**6/180 + h**5/60 - 10*h**3/3 - 30. Let i(g) be the third derivative of j(g). Factor i(f).
-2*f*(f - 1)
Let t(y) be the first derivative of 2*y**3 + 2*y - 3*y**2 - 1/2*y**4 + 27. What is i in t(i) = 0?
1
Let u = -99 + 90. Let a be 4 - ((-21)/u + 4/(-3)). Factor 1/6*m**2 + 0 + 0*m + 1/6*m**4 - 1/3*m**a.
m**2*(m - 1)**2/6
Let u = -92 - -130. Let p = u + -35. Factor -2/7*j**2 - 2/7*j**p + 0 + 0*j.
-2*j**2*(j + 1)/7
Let j(w) = 2*w**4 - w**3 - w**2 + 1. Let h(g) = -92*g**4 - 284*g**3 - 280*g**2 - 112*g - 12. Let c(o) = -h(o) + 4*j(o). Let c(a) = 0. Calculate a.
-1, -2/5
Let g be -1*1/(4 - 52/12). Suppose 4*l**3 + 19 + 40*l**2 + 71 - 11*l**3 - 105*l + 2*l**g = 0. Calculate l.
2, 3
Let c(v) be the third derivative of v**6/60 