f -6*c**7/7 - 181*c**6/2 - 4897*c**5/12 - 605*c**4/2 - 290*c**3/3 + 4203*c**2. Let j(u) = 0. What is u?
-58, -2, -1/6
Suppose -3*g - 3*w - 13 = -94, g - 23 = 3*w. Suppose 22 = 8*x - g. What is u in -14*u**3 - 9*u**5 + x*u - u**3 - 3*u**2 + 0*u**2 + 18*u**5 + 3*u**4 = 0?
-1, 0, 2/3, 1
Let y(v) be the first derivative of -15625*v**6/36 + 2750*v**5 - 25275*v**4/8 - 4737*v**3 - 1917*v**2 - 324*v + 9041. Factor y(n).
-(n - 3)**2*(25*n + 6)**3/6
Let a(b) be the first derivative of -b**7/1400 - b**6/100 - b**5/25 - 20*b**3/3 - 13. Let x(l) be the third derivative of a(l). Factor x(p).
-3*p*(p + 2)*(p + 4)/5
Solve 0 - 3/7*o**3 + 57/7*o - 54/7*o**2 = 0.
-19, 0, 1
Let l be 13454/35190 + 4/46. Let z = l + 1/765. Solve -6/17*g**4 + 0 - 2/17*g**2 + 0*g - z*g**3 = 0.
-1, -1/3, 0
Let r be (-5)/(-65) + (-46)/(-78). Let d(i) be the third derivative of 0 + 11/168*i**7 - r*i**6 + 5/2*i**5 + 0*i - 10/3*i**4 - 10/3*i**3 + 34*i**2. Factor d(j).
5*(j - 2)**3*(11*j + 2)/4
Let k be 1127/1029 + 0 + ((-17)/7 - -2). Factor 20/3*h + k*h**2 + 0.
2*h*(h + 10)/3
Factor 2*y + 0 - 11/6*y**2 + 1/6*y**4 - 1/3*y**3.
y*(y - 4)*(y - 1)*(y + 3)/6
Let d = -894 + 1824. Let g be (-341)/d - (0 + (-1)/2). Solve g*z**2 + 2/5*z + 4/15 = 0.
-2, -1
Suppose 65 = 41*x + 66*x - 149. Factor -3/2*i**x + 0 + 3*i.
-3*i*(i - 2)/2
Let q(v) = v**3 - 19*v**2 - 10*v - 84. Let s be q(20). Let h = s + -114. Factor 4/7*i**h + 4/7 + 8/7*i.
4*(i + 1)**2/7
Let a be (32/(-12))/((-20)/15). Factor 15*x + 5*x + 45 + 208*x + 4*x**a + 179.
4*(x + 1)*(x + 56)
Suppose b - 2*b + 312 = r, 0 = -2*b - 5*r + 636. Solve 80*t**3 + 13*t**4 + 397*t - 945*t - 17*t**4 - 420*t - b*t**2 = 0.
-2, 0, 11
Let a be (2366/84 - 28)*(-45)/(-2). Suppose 9/2 - 15/4*q - a*q**2 + 15/4*q**3 - 3/4*q**4 = 0. What is q?
-1, 1, 2, 3
Let d(g) be the third derivative of -g**4/12 + 3*g**3/2 - 91*g**2 - g. Let p be d(3). Factor 1/10*l**p - 3/10*l**2 + 0 + 1/5*l.
l*(l - 2)*(l - 1)/10
Factor 7/3*c**3 + 11/3*c**2 - 52*c + 60.
(c - 3)*(c + 6)*(7*c - 10)/3
Suppose 61*c - 455 = 1497. Let z(d) be the second derivative of 0 + 5/6*d**4 - 5/6*d**3 - 5*d**2 + 1/4*d**5 + c*d. Determine p so that z(p) = 0.
-2, -1, 1
Let t(l) be the second derivative of l**5/60 - l**3/6 + 18*l**2 + 3*l + 2. Let h(d) be the first derivative of t(d). Factor h(r).
(r - 1)*(r + 1)
Let w(n) be the third derivative of -n**5/60 + 121*n**3/6 - 107*n**2. Factor w(v).
-(v - 11)*(v + 11)
Let f = -146 - -190. Let 5*k**3 - 84*k + 6*k**2 + 124*k - 5*k**4 + f*k**2 = 0. What is k?
-2, -1, 0, 4
Let m(o) = -2*o**2 - 2*o + 12. Let g = 0 + 3. Let x(a) = -12 + a**2 + 52795*a + a**2 - 52793*a. Let n(q) = g*m(q) + 4*x(q). Factor n(k).
2*(k - 2)*(k + 3)
Let b = 917/814 - -105/74. Determine p, given that -2/11*p**3 - 10/11*p - 16/11*p**2 + b = 0.
-7, -2, 1
Let q(d) be the first derivative of 5*d**3/3 + 75*d**2/8 + 35*d/2 - 1374. Factor q(z).
5*(z + 2)*(4*z + 7)/4
Let k = 127461 + -637287/5. Factor -3/5*p**2 + k + 3/5*p.
-3*(p - 3)*(p + 2)/5
Let a = -742 - -2230/3. Suppose -3*m + 5*m = 6. Find z such that -5/3*z**m + 2/3*z**2 + a*z**4 - 1/3*z**5 + 0*z + 0 = 0.
0, 1, 2
Factor -162/11*m**3 + 4024/11*m - 9000/11*m**2 - 448/11.
-2*(m + 56)*(9*m - 2)**2/11
Let l(j) be the first derivative of 3/35*j**5 + 3/28*j**4 - 6/7*j**3 - 41 + 0*j + 0*j**2. Factor l(c).
3*c**2*(c - 2)*(c + 3)/7
Let f(t) be the second derivative of 45*t**2 - 1/5*t**6 - 9/5*t**5 - 3*t - 37*t**3 + 1/21*t**7 + 33 + 43/3*t**4. What is b in f(b) = 0?
-5, 1, 3
Suppose -1537*d**2 - d**3 + 1887*d**2 + 5*d - 263 - 4*d - 87 = 0. Calculate d.
-1, 1, 350
Let h(w) = -w**3 + 2*w**2 - 4*w + 6. Let s be h(2). Let d = 5 + s. Factor 8/5*v**d - 18/5*v**2 - 2/5 + 12/5*v.
2*(v - 1)**2*(4*v - 1)/5
Let n(b) be the second derivative of b**5/70 - 72*b**4/7 + 20736*b**3/7 - 2985984*b**2/7 - 3679*b. Let n(l) = 0. What is l?
144
Let w(s) be the second derivative of -s**7/210 - 19*s**6/75 + 21*s**5/50 + 28*s**4/15 - 193*s**3/30 + 39*s**2/5 + 1588*s. Factor w(j).
-(j - 1)**3*(j + 2)*(j + 39)/5
Let b(z) = -10*z**4 + 45*z**3 + 685*z**2 + 2130*z + 1935. Let a(v) = -5*v**4 + 22*v**3 + 342*v**2 + 1065*v + 969. Let h(j) = 15*a(j) - 7*b(j). Solve h(p) = 0.
-3, -2, 11
Solve -1016/5 - 8136/5*r - 11494/5*r**2 + 20484/5*r**3 + 162/5*r**4 = 0 for r.
-127, -2/9, 1
Let t(o) = o**2 + o + 1. Let i(p) = -14*p**2 - 234*p + 971. Let u(j) = -i(j) - 9*t(j). Factor u(x).
5*(x - 4)*(x + 49)
Let b(s) be the second derivative of -s**7/420 + s**6/240 + s**5/20 + 38*s**2 - 23*s + 2. Let u(z) be the first derivative of b(z). Factor u(g).
-g**2*(g - 3)*(g + 2)/2
Let r be -4 + (10 - 2) + -2. Let i(y) = -2*y**2 - 8*y + 16. Let j(f) = -f**2 - 8*f + 18. Let t(a) = r*j(a) - 3*i(a). Factor t(v).
4*(v - 1)*(v + 3)
Let x = -154737 + 154740. Factor -125/4*v - 325/4*v**2 + 0 - 15/4*v**4 + 145/4*v**x.
-5*v*(v - 5)**2*(3*v + 1)/4
Let f(x) be the second derivative of x**7/378 - 2*x**6/45 + 13*x**5/180 + 35*x**4/18 - 196*x**3/27 - 755*x + 1. Find n such that f(n) = 0.
-4, 0, 2, 7
Let f be (100654/(-177))/(4/(-3)). Let q = f + -426. Let y - q*y**2 - 1/2 = 0. Calculate y.
1
Let n be ((3 - -22) + -20)/(2 - 3/(-6)). Let -3/4 - 3/4*u**n - 2*u + 1/2*u**3 = 0. Calculate u.
-1, -1/2, 3
Suppose 4*z - 15*g = -12*g + 360, 3*g - 90 = -z. Let p be 2088/z + -22 + 8/10. Factor -4/5*l - 2/5*l**p + 2/15*l**3 + 16/15.
2*(l - 4)*(l - 1)*(l + 2)/15
Factor -12*p**2 - 15/2*p - 3/2*p**3 + 75.
-3*(p - 2)*(p + 5)**2/2
Let f(o) be the second derivative of o**5/210 - 9*o**4/28 - 49*o**2 - 20*o + 3. Let v(d) be the first derivative of f(d). Let v(t) = 0. Calculate t.
0, 27
Suppose f**3 - 1548 - 519*f + 1259*f - 105*f**2 + 912*f = 0. What is f?
1, 18, 86
Let p be (-5)/((-15)/2 - -5). Factor 3*q**2 - 8 + 3*q**2 + 64*q - p*q**2 + 68.
4*(q + 1)*(q + 15)
Let o(t) be the third derivative of t**5/90 + 13*t**4/12 + 12*t**3 + 770*t**2. What is n in o(n) = 0?
-36, -3
Suppose -105*d = -93*d + 24. Let f be (-120)/(-100)*d*10/(-8). Determine j, given that -12/7*j**2 + 12/7*j - 4/7 + 4/7*j**f = 0.
1
Let b be (3 - (-3 + 5))*0/(-7 + 17). Let c(a) be the third derivative of 11/28*a**4 + 2/7*a**3 + 0 + b*a - 3/35*a**5 - 17*a**2. Factor c(k).
-6*(k - 2)*(6*k + 1)/7
Suppose -3*v + 10 = g + 4*g, -6 = -3*g - 5*v. Let i = 21 - 18. What is j in 8/3*j**i - 2/3*j**4 - 6 - 8*j + 4/3*j**g = 0?
-1, 3
Determine k so that 2337/7*k**2 + 2339/7 + 1/7*k**3 - 4677/7*k = 0.
-2339, 1
Find d such that -2/5*d**3 + 22000590848/5 + 13344/5*d**2 - 29677056/5*d = 0.
2224
Let y(k) be the second derivative of -k**7/14 - k**6/10 + 33*k**5/10 - 11*k**4 + 12*k**3 + 175*k. What is m in y(m) = 0?
-6, 0, 1, 2
Let v(j) = -2*j**2 - 26*j + 24. Let y be v(-11). Factor 14*o + 10*o + 16*o - 12*o**2 + o**3 - y*o.
o*(o - 14)*(o + 2)
Let j(z) = -z**3 + z**2 - z + 1. Let q(s) = 5*s**2 + 7*s - 3. Let o(h) = 13*h**2 + 20*h - 9. Let x(r) = 3*o(r) - 8*q(r). Let k(f) = j(f) + x(f). Factor k(a).
-(a - 1)**2*(a + 2)
Let j = -816193/24 + 34003. Let g = -35/8 - j. Let 2/9*y**3 + g*y**2 + 2/3*y + 2/9 = 0. What is y?
-1
Factor -11513 - 11547 - 232*x - 81*x**3 + 23012 - 315*x**2.
-(x + 3)*(9*x + 4)**2
Let l = 47645/12 - 3970. Let d(k) be the third derivative of l*k**5 - 5/12*k**4 + 7/24*k**6 + 21*k**2 + 0 + 0*k + 0*k**3. Factor d(b).
5*b*(b + 1)*(7*b - 2)
Let c(v) be the second derivative of -1 + 15/2*v**2 - 10/3*v**3 - 1/6*v**6 - 5/6*v**4 + v**5 + 91*v. Factor c(b).
-5*(b - 3)*(b - 1)**2*(b + 1)
Let x(w) be the third derivative of -108*w + 1/10*w**5 - 2*w**2 + 0 + 0*w**3 + 1/120*w**6 - 7/24*w**4. Determine m so that x(m) = 0.
-7, 0, 1
Suppose 3*i = -5*b + 17 + 1, 13 = 3*b + 4*i. Let 44*s - 5*s**b - 7 - 9 + 4 - 8*s**2 - 4 = 0. Calculate s.
-4, 2/5, 2
Let q = 6237323/31681 - 80/2437. Let c = 197 - q. Solve 0 - c*m**2 + 6/13*m**3 + 2/13*m**5 + 0*m - 6/13*m**4 = 0 for m.
0, 1
Solve 738*x**2 + 125*x**4 + 3671*x**3 + 907*x**2 + 1710 - 4755*x - 1196*x**3 = 0 for x.
-19, -2, 3/5
Let q(y) be the third derivative of -y**7/70 - 93*y**6/10 - 111*y**5/2 - 277*y**4/2 - 369*y**3/2 - 2*y**2 + 8*y - 38. What is d in q(d) = 0?
-369, -1
Let t be -102*(-154)/(-588) + 27. Find q, given that 108/7*q + 1458/7 + t*q**2 = 0.
-27
Let r = -4407/44 + 2253/22. Let -1/4*u**3 + 1/4*u + 9/4 - r*u**2 = 0. What is u?
-9, -1, 1
Let a(m) be the second derivative of -m**4/3 + 474*m**3 - 1420*m**2 - m - 471. Factor a(w).
-4*(w - 710)*(w - 1)
L