*(m - 1)**2
Let l(b) = b**3 - 17*b**2 + 16*b - 17. Let k be l(16). Let v = 17 + k. Factor v*i**2 + 0*i + 0 - 2/5*i**3.
-2*i**3/5
Let z = 23 - 205/9. Suppose 0 = d - x + 2, -3 + 5 = x. Suppose d*i + z*i**2 + 0 = 0. Calculate i.
0
Let u = 8 + -5. Factor 4 - 4 + w**u.
w**3
Let b(s) = s**2 - 4*s - 3. Let o be b(4). Let c be ((-7)/(-2) + o)*1. Factor c + 3/4*j + 1/4*j**2.
(j + 1)*(j + 2)/4
Solve 4*t**2 - 2*t**2 - t**5 + t**3 - 2*t**4 + 0*t**3 + 0*t**3 = 0.
-2, -1, 0, 1
Suppose -5*o + 9*o = 0. Let z(r) be the second derivative of o*r**2 + 0 + 1/3*r**4 - 1/3*r**3 - r - 1/10*r**5. Factor z(l).
-2*l*(l - 1)**2
Let k be 6/(-15) + (-52)/(-5). Let g = k - 5. Solve -15*u**2 - 6*u**g - 3*u**5 + 3*u**3 - 6*u**4 + 21*u**4 + 4 + 2*u**3 = 0.
-2/3, 1
Determine w, given that -14/5*w**5 + 12*w**4 - 6*w - 20*w**3 + 16*w**2 + 4/5 = 0.
2/7, 1
What is p in -2/7*p**3 - 2/7 - 6/7*p**2 - 6/7*p = 0?
-1
Let j(u) = -u + 18. Let i be j(17). Suppose 9 + i = 5*f. Factor 0 + 2/11*m**3 + 4/11*m**f + 2/11*m.
2*m*(m + 1)**2/11
Let z(a) = 7*a**3 - 7*a**2 - 2*a - 4. Let c(y) = -15*y**3 + 15*y**2 + 3*y + 9. Let k(n) = -4*c(n) - 9*z(n). Suppose k(t) = 0. Calculate t.
-1, 0, 2
Suppose -5*j**3 - 5 - 23*j - 30*j**2 - 25 - 32*j = 0. What is j?
-3, -2, -1
Let v = -3615/11 + 329. What is g in 2/11*g**3 - v*g**2 + 0 + 2/11*g = 0?
0, 1
Find d such that 3 - 1/2*d**2 - 1/2*d = 0.
-3, 2
Let l(t) = -t**2 + 5*t - 6. Let f be l(3). Let p(k) be the second derivative of -1/6*k**3 + 0*k**4 + 2*k + 0*k**2 + 1/20*k**5 + f. Factor p(c).
c*(c - 1)*(c + 1)
Let h be (-2)/((30/9)/(-5)). Let s(w) be the first derivative of 5/12*w**h - 3/2*w**2 - 3 + w. Factor s(c).
(c - 2)*(5*c - 2)/4
Let c(g) = g**2 - 4*g - 1. Let n = 10 - 5. Let q be c(n). Determine v so that 1/2*v**3 + 2*v**q - 9/4*v**2 + 1/4 - 1/2*v = 0.
-1, -1/2, 1/4, 1
Let k(q) be the third derivative of q**8/1512 - q**6/270 + q**4/108 - 8*q**2. Factor k(t).
2*t*(t - 1)**2*(t + 1)**2/9
Let s(t) be the first derivative of 0*t + 1/3*t**3 - 1/2*t**2 + 3. Let w(i) = 3*i**2 - i. Let l(m) = 2*s(m) - w(m). Suppose l(u) = 0. What is u?
-1, 0
Let y(i) be the second derivative of -5*i**7/42 - i**6/3 + 5*i**4/6 + 5*i**3/6 + 31*i. Solve y(k) = 0 for k.
-1, 0, 1
Let l(b) be the second derivative of -16*b**5 - 100*b**4 - 250*b**3 - 625*b**2/2 - 31*b. Find c, given that l(c) = 0.
-5/4
Let z(d) = -d + 1. Let u be z(-1). Let n be u/2 - (-1 + 1). Solve y - y**2 - n - 3*y + 4*y = 0 for y.
1
Let j = -4/19 + 27/38. Factor 1/2*b**4 + b**3 - 1/2*b - 1/2*b**5 - b**2 + j.
-(b - 1)**3*(b + 1)**2/2
Let j(i) be the second derivative of 0 - 1/80*i**5 + 1/16*i**4 - 1/2*i**2 - 4*i + 0*i**3. Factor j(d).
-(d - 2)**2*(d + 1)/4
What is i in -8/3*i**2 + 0 - 4/3*i**3 + 0*i = 0?
-2, 0
Let k(m) be the second derivative of m**7/6300 + m**6/450 + m**5/75 - 5*m**4/12 - 8*m. Let i(x) be the third derivative of k(x). What is s in i(s) = 0?
-2
Let g(m) be the first derivative of 0*m**3 + 0*m**2 + 2/55*m**5 + 0*m + 0*m**4 + 4. Let g(f) = 0. Calculate f.
0
Solve 1/7*o + 1/7*o**2 + 0 = 0.
-1, 0
Let f(m) be the first derivative of m**8/560 - m**7/525 - m**6/200 + m**5/150 - m**2 - 9. Let w(a) be the second derivative of f(a). Let w(z) = 0. What is z?
-1, 0, 2/3, 1
Suppose -6*a + 2*a + 5*w + 9 = 0, w + 3 = a. Factor -3*m**3 + a*m**3 - 4*m**2 + 2*m**2 - 2*m**3.
m**2*(m - 2)
Let g(u) = -u + 6. Let q be g(10). Let f(i) = 2*i**2 + 9*i + 4. Let r be f(q). Factor 1/5*y**2 + r - 1/5*y**4 - 1/5*y + 1/5*y**3.
-y*(y - 1)**2*(y + 1)/5
Let n be (-25)/15*6/(-5). Determine l so that 2*l + 2/3*l**n + 4/3 = 0.
-2, -1
Let f(o) = -6*o - 9. Let i(c) = c**2 + 5*c + 10. Let s(w) = -w + 1. Let v(q) = -i(q) + 2*s(q). Let x(h) = -2*f(h) + 3*v(h). Factor x(k).
-3*(k + 1)*(k + 2)
Let t(f) be the first derivative of -f**6/1080 + f**4/72 - 2*f**3/3 + 5. Let r(m) be the third derivative of t(m). Factor r(l).
-(l - 1)*(l + 1)/3
Let m(r) be the third derivative of r**7/350 + r**6/200 - 9*r**2. Factor m(x).
3*x**3*(x + 1)/5
Let n(f) = 5*f**2 - 17*f - 6. Let d(s) = 2*s**2 - 6*s - 2. Let o be (-92)/(-12) + (-4)/6. Let y = o + -4. Let h(t) = y*n(t) - 8*d(t). Factor h(k).
-(k + 1)*(k + 2)
Suppose 0 = -2*v + 8, -28 = -3*n - 3*v + 20. Let u(p) = -1 + 6*p**2 + 2 - 3 + n*p. Let g(c) = -2*c**2 - 4*c + 1. Let s(d) = -8*g(d) - 3*u(d). Factor s(f).
-2*(f + 1)**2
Let n(f) = -f**3 - 8*f**2 - 9*f - 5. Let c be n(-8). Let h = -199/3 + c. Factor -1/3*p**2 - h*p**5 + 0*p + 0 - 5/3*p**4 - 4/3*p**3.
-p**2*(p + 1)**2*(2*p + 1)/3
Let k(b) be the third derivative of -b**5/15 + b**4/6 + 8*b**2. Factor k(r).
-4*r*(r - 1)
Let x(n) be the third derivative of n**6/80 - 3*n**5/5 + 12*n**4 - 128*n**3 - 8*n**2. Let x(y) = 0. Calculate y.
8
Suppose -2*z + 4 = 2*g, -11 = 5*g - 21. Factor z + 2/5*v**2 - 2/5*v.
2*v*(v - 1)/5
Let l(p) be the second derivative of 0*p**5 + 2/21*p**4 - 2/105*p**6 + 0*p**3 + 3*p - 2/7*p**2 + 0. Suppose l(z) = 0. Calculate z.
-1, 1
Let u be (-6)/8 + 23/4. Let x(m) = 7*m**3 + 3*m**2 - 4*m + 4. Let f(c) = 8*c**3 + 4*c**2 - 5*c + 5. Let z(b) = u*x(b) - 4*f(b). Factor z(s).
s**2*(3*s - 1)
Factor -8/7 - 50/7*i**2 + 2/7*i**5 - 2*i**4 + 38/7*i**3 + 32/7*i.
2*(i - 2)**2*(i - 1)**3/7
Let v = 4 + -1. Suppose y - 6 = v*y, 0 = 3*b + y - 21. Factor 10*l**2 + 0 + 0 - b*l**2 + 2*l.
2*l*(l + 1)
Let h(m) be the first derivative of -m**6/18 + m**5/15 + m**4/6 + 40. Factor h(t).
-t**3*(t - 2)*(t + 1)/3
Let y(z) be the second derivative of -1/6*z**4 - 6*z - 4/3*z**3 - 4*z**2 + 0. Solve y(m) = 0 for m.
-2
Suppose 5*k - 6 - 4 = 0. Solve -9*d + 4 - 3*d**k - 3 - 7 = 0 for d.
-2, -1
Let q(i) = -2*i**2 + 4*i - 7. Let t(c) = 2*c**2 - 4*c + 6. Let u(g) = -6*q(g) - 7*t(g). Suppose u(v) = 0. Calculate v.
0, 2
Let y = -142 + 144. What is f in -1/3*f**y - 1/3*f + 2/3 = 0?
-2, 1
Let p(y) be the second derivative of 0*y**2 + 2*y + 1/30*y**4 + 0*y**3 + 0. Factor p(z).
2*z**2/5
Let g(l) = 5*l**5 + 5*l**4 - 15*l**3 + 3*l + 3. Let b(n) = -6*n**5 - 6*n**4 + 16*n**3 - 4*n - 4. Let v(q) = -3*b(q) - 4*g(q). Factor v(s).
-2*s**3*(s - 2)*(s + 3)
Let a(h) be the second derivative of 2/147*h**7 - 1/7*h**2 + 0 - 3/35*h**6 + 2/7*h**3 + 8/35*h**5 - 1/3*h**4 + 2*h. Find j, given that a(j) = 0.
1/2, 1
Let w(c) be the second derivative of -c**7/14 + 2*c**6/5 - 9*c**5/10 + c**4 - c**3/2 - c. Solve w(i) = 0.
0, 1
Suppose 8 = -4*z + 6*z. Suppose 0 = -0*p + z*p - 2*m - 32, -5*m - 44 = -4*p. Solve -6*j + 4*j - 6*j**3 + p*j**2 + 2*j**4 + 0*j**2 = 0.
0, 1
Let m be (15/(-32))/(15/(-20)). Let h(u) be the first derivative of -1/2*u - m*u**2 - 1/4*u**3 - 1. What is r in h(r) = 0?
-1, -2/3
Let n(t) be the third derivative of -1/180*t**6 + 0*t + 1/36*t**4 + 1/90*t**5 - 2*t**2 - 1/9*t**3 + 0. Factor n(c).
-2*(c - 1)**2*(c + 1)/3
Let b**2 - 371*b**3 + 366*b**3 - 20 + 20*b + 4*b**2 = 0. What is b?
-2, 1, 2
Let y = 1/50 - 503/150. Let n = -11/6 - y. What is q in -1/2*q**4 - 3/2*q**3 + n*q + 1 - 1/2*q**2 = 0?
-2, -1, 1
Suppose -13 + 1 = -4*i. Suppose 0*f = -i*f + 6. Factor 5*k**2 + 0*k**2 - 2*k - 3*k**f.
2*k*(k - 1)
Let a(v) be the second derivative of -v**7/21 + 4*v**6/15 - 3*v**5/5 + 2*v**4/3 - v**3/3 + v. Factor a(k).
-2*k*(k - 1)**4
Suppose 125*o = 119*o. Factor 2/7*m**5 + o*m + 0 + 2/7*m**4 + 0*m**3 + 0*m**2.
2*m**4*(m + 1)/7
Let a(y) = 39*y**3 + 297*y**2 + 1341*y + 1047. Let q(h) = -11*h**3 - 85*h**2 - 383*h - 299. Let s(l) = 5*a(l) + 18*q(l). Factor s(o).
-3*(o + 1)*(o + 7)**2
Let n = 85/31 + 8705/217. Let t = 1475/14 - n. Suppose -75*x**2 + t*x**3 + 30*x - 4 = 0. Calculate x.
2/5
Factor -17*a**3 - 6*a**2 - a - 3*a + 19*a**3 - 6*a**4 + 14*a**3.
-2*a*(a - 2)*(a - 1)*(3*a + 1)
Suppose -4*c - 15 = -5*s, 4*s - 3 - 9 = 5*c. Determine b so that 2*b + 2*b**s - 5*b - 4*b + 5*b = 0.
-1, 0, 1
Let s(n) be the third derivative of n**8/140 - 2*n**7/525 - n**6/75 + 6*n**2. Factor s(v).
4*v**3*(v - 1)*(3*v + 2)/5
Let s(i) be the first derivative of -i**3 + 3*i**2 + 6*i - 1. Let x(y) = -8*y**2 + 17*y + 17. Let h(w) = 17*s(w) - 6*x(w). Factor h(o).
-3*o**2
Let b(d) be the third derivative of 0*d**4 - 1/15*d**5 - 2/105*d**7 + 0*d**3 + 1/15*d**6 + 0 + 7*d**2 + 0*d. Factor b(n).
-4*n**2*(n - 1)**2
Let n(s) be the third derivative of -s**7/2100 - s**6/400 - s**5/600 + s**4/80 + s**3/30 - s**2. Let n(x) = 0. Calculate x.
-2, -1, 1
Let c(i) be the first derivative of -2*i + 2 - 1/2*i**4 - 2*i**3 - 3*i**2. Factor c(o).
