*3 + 0 + 1/2*m**2 + 19/48*m**4 + 1/30*m**6. What is l in f(l) = 0?
1, 2
Suppose -79*r + 80 + 78 = 0. Factor -2/3 + 0*d**4 - d - 1/3*d**5 + 4/3*d**3 + 2/3*d**r.
-(d - 2)*(d - 1)*(d + 1)**3/3
Let w(a) be the first derivative of 7*a**5/180 - a**4/54 + 9*a - 11. Let s(v) be the first derivative of w(v). Find t, given that s(t) = 0.
0, 2/7
Solve -1/3*l**2 + 88/3*l - 1936/3 = 0 for l.
44
Suppose -4*z = 16, -9*p = -8*p - 5*z - 22. Let x = -293/6 - -49. Factor -14/3*o**p + 1/3 + x*o.
-(4*o + 1)*(7*o - 2)/6
Let x(p) = 625*p + 3127. Let w be x(-5). Determine d so that 4/3 - 14/3*d**w - 10/3*d = 0.
-1, 2/7
Let i(z) = z - 1. Let f be i(5). Factor -r**2 + r**f + 0*r**2 - 2*r**4 + 2*r**4.
r**2*(r - 1)*(r + 1)
What is z in 81/7*z + 3/7*z**2 + 0 = 0?
-27, 0
Let v(w) be the third derivative of -13*w**5/90 + 32*w**4/9 + 20*w**3/9 - 42*w**2 - 2. Find f, given that v(f) = 0.
-2/13, 10
Let m(a) = -a - 2. Let r be m(2). Let x be 5/((-315)/(-6))*(r - -7). Solve x*o + 1/7 + 1/7*o**2 = 0.
-1
Let s be (-57)/456 + (-100)/(-32). Factor -15/8*z**s + 3*z + 0 - 3/8*z**4 - 3/4*z**2.
-3*z*(z - 1)*(z + 2)*(z + 4)/8
Let m be (509/15)/(10/25). Let z = m + -84. Factor 1/3 + z*s + 1/6*s**3 + 2/3*s**2.
(s + 1)**2*(s + 2)/6
Suppose -c = -f + 3, c - 4 = 5*c - 2*f. Let s(m) = 6*m - 1. Let i be s(c). Factor -12*o**2 + 14*o**2 + 2 + 4*o - 3*o - i*o.
2*(o - 1)**2
Suppose -329*y**3 + 132 - 219*y + 333*y**3 - 35*y**2 - 135*y + 159*y**2 + 94*y = 0. What is y?
-33, 1
Let i(h) be the second derivative of -h**4/4 - 5*h**3/4 - 3*h**2/2 + 119*h. Factor i(k).
-3*(k + 2)*(2*k + 1)/2
Let i(y) be the second derivative of -11*y**6/30 - 9*y**5/20 + 23*y**4/6 + 6*y**3 - 4*y**2 + 106*y. Find u such that i(u) = 0.
-2, -1, 2/11, 2
Let f = 33 - 30. Solve -4*p + 0 - 6*p + f*p - p**4 - 5*p**3 - 2 - 9*p**2 = 0.
-2, -1
Let w(h) = 53*h - 55*h + 2*h**3 + h**3 - h**2. Let o(t) = -4*t**3 + t**2 + 3*t. Let q(k) = 2*o(k) + 3*w(k). Let q(d) = 0. What is d?
0, 1
Let u be -36 - (0/1 + 1 + -1). Let q be (-50)/(-156) + 6/u. Suppose 4/13 - q*l**2 + 2/13*l = 0. What is l?
-1, 2
Factor 384*m**3 + 5*m**4 + 55*m + 10*m**2 - 30 - 399*m**3 - 25*m**2.
5*(m - 3)*(m - 1)**2*(m + 2)
Let o(b) be the first derivative of -2*b**5/15 + 19*b**4/8 - 7*b**3/9 + 75. Solve o(i) = 0 for i.
0, 1/4, 14
Let y(p) be the second derivative of 49/13*p**2 + 1/78*p**4 + 0 - 20*p - 14/39*p**3. Factor y(c).
2*(c - 7)**2/13
Let b = 9158 - 9156. Let 152/11*w + 240/11*w**3 + 50/11*w**4 + 318/11*w**b + 24/11 = 0. What is w?
-3, -1, -2/5
Let o(g) = g**2 + 12*g - 16. Let y(a) = -a**2 - 12*a + 16. Let m(t) = 5*o(t) + 6*y(t). Let n(f) = -4*f**2 - 36*f + 48. Let i(p) = 10*m(p) - 3*n(p). Factor i(v).
2*(v - 4)*(v - 2)
Determine c so that -6/11*c**2 + 0 + 12/11*c - 6/11*c**3 = 0.
-2, 0, 1
Let g(h) be the second derivative of 0*h**2 + 14*h + 1/2*h**3 - 1/2*h**4 + 0 + 3/20*h**5. What is v in g(v) = 0?
0, 1
Let l = 259206/19 + -13642. Solve l*n - 2/19*n**2 - 8/19 = 0.
2
Let v(z) = 24*z + 2. Let q be v(0). Factor 0*g - 8/11 + 2/11*g**q.
2*(g - 2)*(g + 2)/11
Let f = -4139/4 + 1035. Suppose 9 + 3*q + f*q**2 = 0. What is q?
-6
Suppose -8 - 2 = -5*n. Factor 75*u + 3*u**n - 35*u - 37*u.
3*u*(u + 1)
Solve -92/9 + 2/9*l**2 - 14/3*l = 0 for l.
-2, 23
Let k(q) be the first derivative of -3/7*q**2 + 27 + 0*q + 2/21*q**3. Suppose k(n) = 0. Calculate n.
0, 3
Let j(b) be the first derivative of b**4/14 - 9*b**3/7 + 6*b**2 + 7*b + 57. Find k such that j(k) = 0.
-1/2, 7
Let q be 3/(-6)*(5 + -11). Find u such that -3*u**4 - 2*u**3 - u**4 + 12*u**4 - u**3 + q*u**5 = 0.
-3, 0, 1/3
Let j(r) = -r**3 + r**2 + 7*r - 1. Let f be j(3). Factor -3*d + 19 - 5*d**f + 4*d**2 + d - 20.
-(d + 1)**2
Let v(r) = -15*r**3 + 45*r**2 - 110*r + 5. Let p(i) = -13*i**3 + 45*i**2 - 108*i + 4. Let m(o) = 5*p(o) - 4*v(o). Factor m(k).
-5*k*(k - 5)*(k - 4)
Let s(k) be the third derivative of -k**6/30 - k**5/15 + 5*k**4/3 - 16*k**3/3 + 2*k**2 - 19*k. Find l such that s(l) = 0.
-4, 1, 2
Let r be 2 + -3 + 2 + (-50 - -49). Let j(s) be the first derivative of -1/2*s**2 - 6 + r*s - 1/3*s**3. Solve j(i) = 0 for i.
-1, 0
Let h = 529/7 + -526/7. Factor -9/7*b - 6/7 - h*b**2.
-3*(b + 1)*(b + 2)/7
Factor -32/17*o - 18/17*o**3 + 42/17*o**2 + 8/17.
-2*(o - 1)*(3*o - 2)**2/17
Factor -6560*v**2 + 4661*v**3 + 2*v**5 - 1343*v**3 + 3200*v + 204*v**3 - 164*v**4.
2*v*(v - 40)**2*(v - 1)**2
Let t(p) be the third derivative of p**7/12600 + p**6/720 - 7*p**4/24 + 8*p**2. Let l(b) be the second derivative of t(b). Factor l(d).
d*(d + 5)/5
Factor -16/7 + 2/7*k**4 - 4/7*k**2 - 6/7*k**3 + 24/7*k.
2*(k - 2)**2*(k - 1)*(k + 2)/7
Let s be 1/(-2)*2 - 104/(-13). Let n be 4 - ((-4)/(-14) + 12/s). Let 5/3*v**3 - 20/3*v + 20/3*v**n + 0 - 5/3*v**4 = 0. What is v?
-2, 0, 1, 2
Let m be (-16)/(-2) - -6*(-8)/(-16). Let s be 22/88 + m/20. Suppose 14/5*l + 18/5*l**2 - s = 0. What is l?
-1, 2/9
Let q be 25/175*118/(-2) + 9. Let q + 12/7*f**2 - 12/7*f - 4/7*f**3 = 0. What is f?
1
Let n(r) be the second derivative of 3*r**2 + 2*r + 0 - 1/40*r**5 + 4/3*r**3 + 1/8*r**4. Factor n(x).
-(x - 6)*(x + 1)*(x + 2)/2
Let u(t) be the first derivative of 1/9*t**6 - 1/3*t**4 + 0*t**3 + 1/3*t**2 + 0*t + 0*t**5 - 13. Factor u(s).
2*s*(s - 1)**2*(s + 1)**2/3
Let g(l) be the third derivative of 1/294*l**8 + 6*l**2 + 0*l + 0 + 1/245*l**7 + 0*l**5 + 0*l**3 + 0*l**4 - 1/420*l**6. Factor g(w).
2*w**3*(w + 1)*(4*w - 1)/7
Let w be 1*(16/2)/192. Let j(q) be the second derivative of 1/48*q**4 + 0*q**2 + 0 - w*q**3 + q. Factor j(p).
p*(p - 1)/4
Let h be (-16)/6*(-150)/(-40) - -10. Factor 0*z + h + 6/7*z**2 + 9/7*z**3 + 3/7*z**4.
3*z**2*(z + 1)*(z + 2)/7
Let m(r) be the first derivative of r**3/6 - r**2/4 - 3*r - 246. Determine w, given that m(w) = 0.
-2, 3
Suppose 7*a**2 + 38*a**2 - 36 - 44*a**2 - 5*a = 0. What is a?
-4, 9
Let x(f) be the second derivative of -f**7/1260 - f**6/360 - f**4/3 - 7*f. Let p(i) be the third derivative of x(i). Solve p(n) = 0.
-1, 0
Let x(m) = -m**3 - 7*m**2 - 10*m - 21. Let p be x(-6). Let n be p + 9*3/15. Factor 14/5*z**3 + 4/5 - n*z**2 + 6/5*z.
2*(z - 1)**2*(7*z + 2)/5
Solve -5*k**2 + 73 + 2 + 50 = 0 for k.
-5, 5
Let w(r) = -6951*r**2 - 598*r - 29. Let s(v) = -3475*v**2 - 294*v - 15. Let q(o) = -11*s(o) + 6*w(o). Determine f so that q(f) = 0.
-3/59
Let l(v) be the second derivative of v**7/42 - v**6/10 + v**5/10 - 1007*v. Factor l(w).
w**3*(w - 2)*(w - 1)
Let b = 19784 - 19784. Find h, given that 80/3*h**4 + 4/3*h**2 - 32/3*h**5 + b - 34/3*h**3 + 0*h = 0.
0, 1/4, 2
Let b(p) be the second derivative of -p**5/150 - 19*p**4/90 - 34*p**3/45 + 2*p + 14. Factor b(m).
-2*m*(m + 2)*(m + 17)/15
Let l(z) be the third derivative of z**7/350 + 7*z**6/300 + 13*z**5/300 - z**4/20 - 581*z**2. Solve l(c) = 0.
-3, -2, 0, 1/3
Let i = 3503 + -3500. Factor 0*g**2 + 1/7*g**4 + 0*g + 0 + 1/7*g**i.
g**3*(g + 1)/7
Determine j so that -870*j - 420 + 5*j**2 + 2584*j - 935*j - 864*j = 0.
-4, 21
Let c(x) = -x**3 - 5*x**2 - x - 3. Let w be c(-5). Suppose 0 = -4*a + 3*a + w. Factor 6*d**2 + 0*d**4 + 2 + 2*d**4 + d**a + 8*d + 5*d**2 + 8*d**3.
2*(d + 1)**4
Let f be (-25)/(-4) - (-3)/4. Suppose -5*h - f + 22 = 0. Determine j, given that h*j**3 - 2*j**2 + 7*j - j**2 - 7*j = 0.
0, 1
Let q(p) be the first derivative of p**6/8 - 3*p**5/10 - 86. Factor q(c).
3*c**4*(c - 2)/4
Suppose 7*i - 136 + 53 = -48. Factor 0*z + 49/4*z**i - 2*z**2 - 35/2*z**4 - 13*z**3 + 0.
z**2*(z - 2)*(7*z + 2)**2/4
Factor 8/3 + 2/15*p**2 - 14/5*p.
2*(p - 20)*(p - 1)/15
Let w(f) be the second derivative of -21*f + 1/36*f**4 + 0 + 0*f**2 + 5/18*f**3. Factor w(o).
o*(o + 5)/3
Let d(z) be the second derivative of -z**6/105 + 13*z**5/35 - 71*z**4/14 + 572*z**3/21 - 484*z**2/7 + 2*z - 98. Determine a so that d(a) = 0.
2, 11
Let a(n) be the third derivative of n**7/1260 - n**6/240 - n**5/120 + 7*n**4/144 + n**3/6 - 124*n**2. Factor a(l).
(l - 3)*(l - 2)*(l + 1)**2/6
Let -26/5*j**2 + 24/5*j - 2/5*j**4 - 8/5 + 12/5*j**3 = 0. What is j?
1, 2
Suppose -20*g + 7 = -19*g. Solve -p + p**3 - 10*p**2 + 19*p + g*p = 0 for p.
0, 5
Factor 0 - 4*h**2 - 20/3*h**4 - 28/3*h**3 - 4/3*h**5 + 0*h.
-4*h**2*(h + 1)**2*(h + 3)/3
Let t be (-4)/(-3)*(3 + 3). Suppose -t + 16 = 4*k. Let 64*l**2 + 10*l**5 - 15*l**4 - 25*l**2 - 34*l**k = 0. Calculate l.
-1/2, 0, 1
Suppose s - 4 + 10 = 0. Let y be ((-2)/(-4))/(s/(-36)). Factor 0*x**4 - x**2 - x*