*2/11
Let z(m) = 3*m**3 + 21*m**2 - 84*m + 76. Let g(p) = -5*p**3 - 43*p**2 + 169*p - 154. Let w(l) = 4*g(l) + 7*z(l). Solve w(v) = 0 for v.
2, 21
Let i be -15*(2 - 35/25). Let f be i/2*(-120)/630. Determine a so that 4/7*a + 0 - 18/7*a**2 + 8/7*a**4 + f*a**3 = 0.
-2, 0, 1/4, 1
Let t be ((-2)/(-5))/(10/250). Suppose 4*v + 3*s - 6 = 0, v + 2*s + t = 3*v. Determine h so that 3*h**v + 8*h**3 + 7*h**5 - 4*h**4 - 12*h**4 - 2*h**2 = 0.
0, 2/7, 1
Let h = -1932 + 1934. Let y = 8 + -2. Find b, given that 8 - 16*b + 18 + h*b**2 + y = 0.
4
Let w(s) = -s**3 + 5. Let o be w(0). Factor 9*h**3 - 5*h**3 - 3*h**4 + 4*h**2 - h**4 - 4*h**o.
-4*h**2*(h - 1)*(h + 1)**2
Suppose 5*u = q + 10, -831*q - 2 = -u - 835*q. Factor 4*m - u*m**2 - m**3 + 1/2*m**4 + 0.
m*(m - 2)**2*(m + 2)/2
Solve -2*t**2 - 4/3*t**4 + 11/3*t**3 + 0*t + 0 - 1/3*t**5 = 0 for t.
-6, 0, 1
Find j, given that 0 + 16/9*j**2 - 80/9*j - 196/9*j**4 + 980/9*j**3 = 0.
-2/7, 0, 2/7, 5
Let r(k) be the first derivative of k**4/12 - k**2/6 + 13. Factor r(d).
d*(d - 1)*(d + 1)/3
Factor -16/5 + 28/5*v - 14/5*v**2 + 2/5*v**3.
2*(v - 4)*(v - 2)*(v - 1)/5
Let h(w) be the second derivative of -9*w**7/14 - 3*w**6 - 21*w**5/5 - 2*w**4 - 157*w. Factor h(c).
-3*c**2*(c + 2)*(3*c + 2)**2
Let g(w) be the third derivative of w**8/21 + 38*w**7/105 - 26*w**6/5 + 6*w**5/5 + 72*w**4 + 162*w**3 - 167*w**2 + 3*w. Find t such that g(t) = 0.
-9, -1, -3/4, 3
Let k = -3927/13 + 66941/221. Factor -32/17*h - 24/17 - 2/17*h**3 - k*h**2.
-2*(h + 2)**2*(h + 3)/17
Let m(s) be the second derivative of 1/42*s**4 + 6/7*s**2 + s - 5/21*s**3 + 0. What is u in m(u) = 0?
2, 3
Let y = 10361 - 10359. Factor -y*f**3 - 1/2*f + 5/2*f**2 + 0.
-f*(f - 1)*(4*f - 1)/2
Let w(x) be the third derivative of -x**6/120 + x**5/10 - x**4/8 - 5*x**3/3 - 112*x**2. Factor w(m).
-(m - 5)*(m - 2)*(m + 1)
Suppose -11*j = -17*j + 24. Factor -12*r + 2*r**5 - 4*r**j + 18 - 4*r**3 - 2*r - 3*r**2 + 19*r**2 - 14.
2*(r - 1)**4*(r + 2)
Let n be (3*(-8)/24)/((-15)/3707). Let h = -247 + n. Suppose -h*y + 2/15*y**3 + 2/15 - 2/15*y**2 = 0. What is y?
-1, 1
Let o(r) be the third derivative of 5*r**5/12 + 35*r**4/24 + 5*r**3/3 - 13*r**2. Let j(v) = -25*v**2 - 35*v - 10. Let a(y) = 7*j(y) + 6*o(y). Factor a(n).
-5*(n + 1)*(5*n + 2)
Let x(j) = -5*j**3 + 3*j**2 + 20*j - 3. Let s(c) = -5*c**3 + 2*c**2 + 20*c - 2. Suppose 112*l - 113*l + 2 = 0. Let b(v) = l*x(v) - 3*s(v). Factor b(k).
5*k*(k - 2)*(k + 2)
Let q(m) be the first derivative of -m**4/2 + 28*m**3/3 - 49*m**2 + 42. Suppose q(r) = 0. Calculate r.
0, 7
Factor 1/4*d + 1/4*d**3 - 1/2*d**2 + 0.
d*(d - 1)**2/4
Let r(g) be the first derivative of g**6/30 + 3*g**5/20 + g**4/4 + g**3/6 - 16*g - 5. Let n(l) be the first derivative of r(l). Factor n(a).
a*(a + 1)**3
Let f(l) be the second derivative of -1/110*l**5 + 0*l**3 - 2*l + 0 + 1/33*l**4 + 0*l**2. Solve f(q) = 0 for q.
0, 2
Let b be 18 + (16 - 18) - 8. Let 32/3*q**2 + 4/3*q**5 + 0 - 4*q + 0*q**4 - b*q**3 = 0. What is q?
-3, 0, 1
Let j(g) be the third derivative of 1/1050*g**7 + 0 + 0*g**6 + 0*g**4 - 6*g**2 + 0*g - 1/150*g**5 + 1/30*g**3. Factor j(a).
(a - 1)**2*(a + 1)**2/5
Let k(y) be the first derivative of -y**6/1980 - y**5/660 - 13*y**3/3 + 6. Let j(s) be the third derivative of k(s). Solve j(i) = 0.
-1, 0
Let f be 200/16*4/(-5). Let k = -7 - f. Factor -g + 3*g + 4*g**2 + 3*g**3 - 2*g**3 + g**k.
2*g*(g + 1)**2
Let n = 547 - 545. Let i(f) be the first derivative of -2/3*f**3 - 8 - 4*f**n - 6*f. Factor i(j).
-2*(j + 1)*(j + 3)
Let t(b) = 16*b**2 + 52*b - 368. Let u(g) = -g**2 + 2*g. Let f(p) = t(p) + 12*u(p). Factor f(h).
4*(h - 4)*(h + 23)
Let b(m) = m**3 + 8*m**2 - 13*m - 12. Let t be b(-9). Let w = t + -21. Determine z, given that 0 + 2/3*z**w - 2/3*z - 2/3*z**2 + 2/3*z**4 = 0.
-1, 0, 1
Factor 86*m**3 - 154*m**3 + 21*m + 6 + 47*m**3 - 6*m**2.
-3*(m - 1)*(m + 1)*(7*m + 2)
Suppose 4*u - 4 = -0. Let f be u/5 - (-132)/15. Factor -f*d**4 - d**4 + d**2 + 9*d**4.
-d**2*(d - 1)*(d + 1)
Let g(t) be the first derivative of t**5/5 - 11*t**3/3 - 9*t**2 - 8*t + 10. Find r, given that g(r) = 0.
-2, -1, 4
Let c(a) be the first derivative of -a**5/100 - a**4/10 - 3*a**3/10 - 5*a**2 + 15. Let n(g) be the second derivative of c(g). Suppose n(m) = 0. What is m?
-3, -1
Factor -21*r**2 - 409*r - 510*r + r**2 + 195 + 144*r.
-5*(r + 39)*(4*r - 1)
Let t be -4 - (2 + 4 + -8 + -29). Suppose t = 11*y + 5. Find a, given that -5/4*a**3 - a**4 + 0 + 0*a - 1/4*a**y = 0.
-1, -1/4, 0
Suppose 4*b - 5*t = -7*t + 30, -b - 5*t + 21 = 0. Let k(s) be the first derivative of -2*s**3 + 3*s + 4 + 6*s**4 - 21/5*s**5 - 3*s**2 + s**b. Factor k(r).
3*(r - 1)**4*(2*r + 1)
Let w = 2839 - 2837. Factor 2/15*d**w - 2/15*d**3 + 4/15*d + 0.
-2*d*(d - 2)*(d + 1)/15
Suppose 106*v = 103*v - 15. Let j(n) = -3*n**4 - 12*n**3 - 3*n**2 + 12*n. Let r(s) = -3*s**4 - 13*s**3 - 2*s**2 + 13*s. Let p(a) = v*j(a) + 6*r(a). Factor p(k).
-3*k*(k - 1)*(k + 1)*(k + 6)
Let q be (-44)/(-14)*(-112)/(-476) + (-8)/(-68). Factor -q*a - 6/7*a**3 + 3*a**2 - 9/7.
-3*(a - 3)*(a - 1)*(2*a + 1)/7
Let -2*y**5 + 5/4 + 31/2*y**2 + 37/4*y**4 - 17*y**3 - 7*y = 0. Calculate y.
5/8, 1
Let g(f) = -f**3 - 11*f**2 + 11*f - 20. Let h be g(-12). Let x be (7 + h)*2/(-9). Factor 2/9*j**2 + 0*j - x.
2*(j - 1)*(j + 1)/9
Factor -51*o - 10*o**2 + 1333 + 14*o - 29*o + 10*o - 1405.
-2*(o + 2)*(5*o + 18)
Let j be (-4)/(-6) - 819/(-189). Let s(i) be the third derivative of 0 + 0*i + 8/9*i**3 - 7/180*i**j - 8*i**2 - 1/9*i**4 - 1/360*i**6. Factor s(w).
-(w - 1)*(w + 4)**2/3
Let i = 595 + -589. Let m(q) be the third derivative of -1/70*q**7 - i*q**2 + 0 + 0*q + 3/20*q**5 - 2*q**3 - 1/2*q**4 + 1/20*q**6. Let m(w) = 0. What is w?
-1, 2
Let g(b) be the second derivative of 5/2*b**2 - 28*b + 0 - 5/48*b**4 + 0*b**3. Factor g(w).
-5*(w - 2)*(w + 2)/4
Suppose 0 = -36*r + 11*r. Let s(p) be the first derivative of p**3 + 9/5*p**5 - 3*p**4 - 4 + r*p**2 + 0*p. Factor s(f).
3*f**2*(f - 1)*(3*f - 1)
Let r(v) = -17*v - 74. Let d be r(-4). Let c be 1 - 6/(-4)*(-4)/d. Factor 0*l + 2/7 - 2/7*l**c.
-2*(l - 1)*(l + 1)/7
Let w be 2278/1407 - (1 + 1/3). Solve -10/21*r + w*r**2 + 4/21 = 0 for r.
2/3, 1
Let s = 68 - 50. Factor 25*g**2 - 8*g**3 + 20 + 22*g + 13*g**3 + s*g.
5*(g + 1)*(g + 2)**2
Suppose -31 = -63*n - 25 + 246. Factor 0 + 0*c**2 - n*c**4 - 4/3*c**5 - 8/3*c**3 + 0*c.
-4*c**3*(c + 1)*(c + 2)/3
Let j(l) be the third derivative of -l**6/420 - l**5/35 - 3*l**4/28 - 4*l**3/21 + 6*l**2 + 3. Factor j(z).
-2*(z + 1)**2*(z + 4)/7
Let v(y) be the first derivative of -5*y**8/112 + y**7/5 - 3*y**6/10 + y**5/10 + y**4/8 + 10*y**2 + 17. Let b(d) be the second derivative of v(d). Factor b(w).
-3*w*(w - 1)**3*(5*w + 1)
Let l(j) be the second derivative of -4*j**7/63 + 22*j**6/45 - 6*j**5/5 + 8*j**4/9 + 8*j**3/9 - 2*j**2 - 3*j - 33. Let l(y) = 0. Calculate y.
-1/2, 1, 3
Suppose -52*w + 108 = -48. Factor 2/9*d**4 - 2/9*d**2 + 0*d + 0*d**w + 0.
2*d**2*(d - 1)*(d + 1)/9
Let l(s) be the second derivative of -s**6/150 - 17*s**5/10 - 2351*s**4/20 + 1462*s**3/3 - 3698*s**2/5 - s - 120. Suppose l(q) = 0. Calculate q.
-86, 1
Let t(v) be the third derivative of v**5/60 - 11*v**4/12 + 269*v**2. Factor t(l).
l*(l - 22)
Let h(p) be the third derivative of -p**6/300 + 11*p**5/75 - 5*p**4/4 + 18*p**3/5 + 364*p**2. What is f in h(f) = 0?
1, 3, 18
Let x(u) be the third derivative of u**10/5600 - u**9/1344 - u**8/210 - u**7/140 + u**5/6 - 19*u**2. Let o(z) be the third derivative of x(z). Factor o(f).
3*f*(f - 3)*(3*f + 2)**2
Let x(o) be the second derivative of -1/14*o**4 + 3/14*o**2 + 3/70*o**5 + 2*o - 1/98*o**7 + 1/70*o**6 - 1/14*o**3 + 0. Suppose x(a) = 0. What is a?
-1, 1
Let q(d) be the third derivative of -d**6 + d**5/6 + 35*d**4/8 - 25*d**3/6 + 35*d**2. Factor q(u).
-5*(u + 1)*(4*u - 1)*(6*u - 5)
Let q(v) be the first derivative of 0*v**2 + 4 + 1/360*v**6 - 1/120*v**5 + 0*v + 0*v**4 - 5/3*v**3. Let i(n) be the third derivative of q(n). Factor i(c).
c*(c - 1)
Let s(a) be the second derivative of a**4/60 + 2*a**3/5 + 2*a**2 + 162*a. Factor s(r).
(r + 2)*(r + 10)/5
Suppose c + 14 = z, 3*c - 5*c + 91 = 5*z. Let h be 4 - ((-2)/16 + z/8). Factor -2/5 + 2/5*v**h - 3/5*v.
(v - 2)*(2*v + 1)/5
Suppose 18*v + 210 = 123*v. Suppose 0*s**v - 3/5*s**3 + 3/5*s + 0 = 0. Calculate s.
-1, 0, 1
Let x(g) be the second derivative of 