*w + 1280/7*w**3 + 279/7*w**2 = 0. What is w?
-1, 4/109, 2/7
Factor o + 803565*o**4 - 15*o**3 - 803566*o**4 - o.
-o**3*(o + 15)
Let c(h) be the first derivative of h**6/72 + 25*h**5/12 + 3125*h**4/24 - 2*h**3/3 - 83. Let m(k) be the third derivative of c(k). Factor m(r).
5*(r + 25)**2
Let x = -327752 - -2294266/7. Let 9/7*t**5 + 8/7*t + 27/7*t**4 + 0 + x*t**3 - 4*t**2 = 0. Calculate t.
-2, 0, 1/3, 2/3
Let v(f) be the second derivative of -f**6/3 + 17*f**5/4 - 155*f**4/12 - 85*f**3/6 + 165*f**2/2 - 52*f + 92. What is h in v(h) = 0?
-1, 1, 3, 11/2
Let j(x) be the third derivative of -x**7/840 - 23*x**6/480 + 11*x**5/20 - 55*x**4/24 + 14*x**3/3 - 9*x**2 - 33*x. Suppose j(g) = 0. Calculate g.
-28, 1, 2
Let 2/3*d**4 + 124/3*d**2 + 0 + 10*d**3 + 48*d = 0. What is d?
-9, -4, -2, 0
Let t(q) be the second derivative of -3*q**5/140 + 3715*q**4/28 - 3452163*q**3/14 + 10345347*q**2/14 + 4059*q. Factor t(z).
-3*(z - 1857)**2*(z - 1)/7
Let x = -12 - -117. Let v = x - 105. What is a in -48 - a**3 - 45*a + v*a**3 - 4*a**3 + 28 - 30*a**2 = 0?
-4, -1
Suppose 3*z + 12 = 2*w, -2*w + z + 8 = -0*z. Suppose w*n + 36 - 198 = 0. Factor -70 + n*p + 315 + 16*p + 5*p**2.
5*(p + 7)**2
Let s be (124/6)/(-6*(-3)/(-27)). Let p(c) = -c - 28. Let a be p(s). Determine g, given that a + 0*g - 3/4*g**2 = 0.
-2, 2
Factor -1/4*q**3 - 24179763/4*q + 8517/4*q**2 + 22882115719/4.
-(q - 2839)**3/4
Factor 81*d - 100*d - 408 - d**2 - 432 - d**2 + 3*d**2.
(d - 40)*(d + 21)
Let b(d) be the second derivative of 2*d**7/21 + 2*d**6/3 - 13*d**5/5 + 7*d**4/3 + 1019*d. Solve b(m) = 0 for m.
-7, 0, 1
Let u(s) = 9*s**3 - 15*s**2 + 23*s + 33. Let g(h) = -55*h**3 + 24*h - 8*h**2 + 34 + 30*h**3 + 32*h**3 - 7*h**2. Let d(y) = -7*g(y) + 6*u(y). Factor d(v).
5*(v - 2)*(v + 1)*(v + 4)
Let m(t) be the second derivative of t**6/420 + 3*t**5/70 - t**4/84 - 3*t**3/7 - 14*t**2 - 27*t. Let k(y) be the first derivative of m(y). Factor k(w).
2*(w - 1)*(w + 1)*(w + 9)/7
Let i(t) be the first derivative of -110*t**3/39 + 769*t**2/13 + 28*t/13 + 1911. Determine z so that i(z) = 0.
-1/55, 14
Let l(z) be the second derivative of z**10/7560 - z**9/3780 - z**8/420 + 2*z**7/315 + 11*z**4/2 + 63*z. Let s(c) be the third derivative of l(c). Factor s(u).
4*u**2*(u - 2)*(u - 1)*(u + 2)
Let c be (-6 + 618/(-57))*(6 - (-768)/(-20)). Let j be (-3 - -6)/((-57)/(-4)). Find s, given that 9504/19*s**3 - 1944/19*s**2 - j + 150/19*s - c*s**4 = 0.
1/12, 2/3
Suppose -3*k + 40 = -2340*p + 2342*p, -7*k = -p - 65. What is j in 0 + p*j - 1/2*j**3 - 9/2*j**2 = 0?
-10, 0, 1
Let v be (-12)/(-102) - (-2409)/187. Let x(w) be the second derivative of 5/6*w**3 - v*w + 0*w**2 + 1/4*w**5 - 5/6*w**4 + 0. Factor x(u).
5*u*(u - 1)**2
Let c be (-2006)/(-68) - 29 - ((-30)/80)/(9/68). Determine v so that -c*v - 1/3*v**2 - 16/3 = 0.
-8, -2
Let y(l) be the third derivative of -l**6/24 + 7*l**5/2 + 665*l**4/24 + 75*l**3 + 5573*l**2. Factor y(p).
-5*(p - 45)*(p + 1)*(p + 2)
Let u be ((-1)/2)/((-27)/(-666)). Let r = -35/3 - u. Find b such that 2/3 + 1/6*b**2 - r*b = 0.
2
Let o(v) be the second derivative of -5*v**8/336 - v**7/24 + 7*v**6/90 - v**5/30 - 53*v**3/6 - 61*v. Let n(j) be the second derivative of o(j). Factor n(d).
-d*(d + 2)*(5*d - 2)*(5*d - 1)
Let x(j) = -22*j + 484. Let y be x(23). Let z be (4/(-6))/(y/66). Find t, given that -2 + 0*t + 1/2*t**z = 0.
-2, 2
Let u be (-426)/12 - 5*(-1)/2. Let o be u*(-7)/(-735) - (-3)/5. Determine x, given that 0 - o*x - 2/7*x**2 = 0.
-1, 0
Suppose -4*d = 6*d - 5180. Factor 1444*t**4 - 281*t - 1243*t**2 - 391*t + 45*t**3 + 501*t**3 + d*t**3 + 576 - 385*t**2.
4*(t + 1)**2*(19*t - 12)**2
Suppose -3383 + 3380 = -t. Let c(j) = 7*j**2 + 102*j + 56. Let v be c(-14). Solve -3/8*u**2 + 1/4*u + 0 + v*u**t + 1/8*u**4 = 0.
-2, 0, 1
Let k(f) = 4*f**3 + 6*f**2 - 16*f + 15. Let n(t) = -t**3 - 2*t**2 + t - 1. Let r(z) = 2*k(z) + 6*n(z). Suppose r(h) = 0. What is h?
-4, 1, 3
Factor -2/11*w**3 + 2*w**2 - 30/11*w - 54/11.
-2*(w - 9)*(w - 3)*(w + 1)/11
Let m(s) be the third derivative of -s**7/42 + 1501*s**6/40 + 3609*s**5/20 + 8125*s**4/24 + 301*s**3 + 1272*s**2. Let m(p) = 0. What is p?
-1, -2/5, 903
Let f(d) be the second derivative of 3*d**5/80 + 15*d**4/16 - 29*d**3/4 - 27*d**2 - 641*d. Factor f(j).
3*(j - 4)*(j + 1)*(j + 18)/4
Let g(h) be the second derivative of h**6/60 + 3*h**5/20 - h**4/24 - h**3/2 + 1241*h. Determine s so that g(s) = 0.
-6, -1, 0, 1
Let y = -12042 + 12057. Factor 27/2 + y*i + 3/2*i**2.
3*(i + 1)*(i + 9)/2
Let b(u) = 36*u**3 - 536*u**2 + 500*u + 64. Let f(y) = -2*y**3 + y**2 + y - 4. Let v(p) = b(p) + 16*f(p). Factor v(z).
4*z*(z - 129)*(z - 1)
Let k(m) be the third derivative of -8*m + 23/132*m**4 + 0 - 16*m**2 - 8/11*m**3 + 1/330*m**5. Let k(s) = 0. Calculate s.
-24, 1
Let b(k) be the second derivative of k**7/105 - k**6/15 - 3*k**5/25 + 11*k**4/15 + 37*k**3/15 + 3*k**2 - 402*k - 1. Factor b(u).
2*(u - 5)*(u - 3)*(u + 1)**3/5
Let n(l) = 5*l**2 - 144*l - 23. Let u be n(29). Let g be ((-78)/(-273))/(0 - (-4)/u). Factor 2/7 + g*h + 1/7*h**2.
(h + 1)*(h + 2)/7
Let f(l) be the first derivative of l**6/80 - l**5/8 - l**4/16 + 5*l**3/4 - 39*l**2/2 + 33. Let y(s) be the second derivative of f(s). What is v in y(v) = 0?
-1, 1, 5
Let c = 12260 - 12257. Suppose -k = 4*k - 280. Determine g so that k*g + 30*g**2 + 1/2*g**4 + 32 + 13/2*g**c = 0.
-4, -1
Let o(y) be the third derivative of 3/100*y**5 + 0*y + 0*y**3 + 0 - 1/60*y**4 - 7/600*y**6 - 121*y**2. Factor o(x).
-x*(x - 1)*(7*x - 2)/5
Solve 1026/7 + 3/7*t**2 + 519/7*t = 0.
-171, -2
Let s = 18815 + -18815. Let i(h) be the second derivative of 43*h + 0 + 3/20*h**5 + s*h**2 + 1/2*h**3 + 1/2*h**4. Factor i(j).
3*j*(j + 1)**2
Let b(u) be the first derivative of -7 - 4/5*u**3 + 9/10*u**2 - 3/20*u**4 + 54/5*u. Factor b(x).
-3*(x - 2)*(x + 3)**2/5
Let a(i) = 43*i + 445. Let u be a(-11). Let t be u/35*-5 + -2. Factor -10/3 + 25/6*o - 5/6*o**t.
-5*(o - 4)*(o - 1)/6
Let l(r) be the first derivative of 45/2*r**2 - 5/4*r**4 - 40/3*r**3 + 0*r + 35. Find j, given that l(j) = 0.
-9, 0, 1
Let k be 44/10 + 5/(150/12). Let z = 74/15 - k. Factor -2/3 + z*v**2 + 8/15*v.
2*(v - 1)*(v + 5)/15
Let y = -101 - -108. Let g be -5 - (-5 + (y - 3)). Let h(b) = b**2 - 6*b + 1. Let x(p) = -6*p. Let u(c) = g*x(c) + 3*h(c). Solve u(l) = 0 for l.
-1
Let v(b) be the second derivative of 2/21*b**7 + 0*b**2 - 40/3*b**4 - 13/5*b**5 + 56*b - 2 + 32*b**3 + 8/15*b**6. Suppose v(y) = 0. Calculate y.
-4, 0, 1, 3
Let p be (-2195)/10*(-1)/(4/8). Suppose p - 1174 = -3*g. What is u in -85*u**2 + 237*u**3 - 120*u + 100 + 105*u**4 + 128*u**3 - g*u**5 - 120 = 0?
-1, -2/7, 1
Let q be 1/6 + (-267)/(-18). Solve -q*r - 18*r**2 - 24 + 9*r - 11*r**3 + 14*r**3 - 39*r = 0 for r.
-1, 8
Let r(l) be the third derivative of -l**7/42 + 5*l**6/24 + 5*l**5/4 - 25*l**4/24 - 35*l**3/3 - 1104*l**2. Determine a, given that r(a) = 0.
-2, -1, 1, 7
Let a(u) = 4*u + 31. Let r be a(-8). Let j be r + (-3)/(-6)*4/2. Suppose -82*d + 78*d - 4*d**2 + 0*d**2 + j + 8 = 0. What is d?
-2, 1
Let p(c) be the first derivative of 3*c**2 - 24/7*c + 39/7*c**3 - 183. What is w in p(w) = 0?
-2/3, 4/13
Let l be 130/(-208) + 390/400. Let c(f) be the third derivative of -19/160*f**6 - 1/70*f**7 + 0*f**3 + 0 - l*f**5 + 19*f**2 + 0*f - 3/8*f**4. Factor c(g).
-3*g*(g + 2)**2*(4*g + 3)/4
Let o be 0/(6/(-26)*-13). Let g(a) be the third derivative of 0*a + 24*a**2 + 1/180*a**5 - 1/9*a**3 + o - 1/72*a**4. Factor g(q).
(q - 2)*(q + 1)/3
Let m be (11 - 13)/(0 + 2). Let a be (-5 + 22/4)*(m + 1). Find d, given that -3/5*d**3 + 0 - 6/5*d**2 + a*d = 0.
-2, 0
Let k(q) be the second derivative of 0 - 1/70*q**5 + 0*q**2 - 1/84*q**4 - 252*q + 1/7*q**3. Factor k(j).
-j*(j + 2)*(2*j - 3)/7
Let u(g) = 10*g**2 - 156*g - 1534. Let j(w) = 12*w**2 - 158*w - 1534. Let h(m) = -6*j(m) + 7*u(m). Factor h(p).
-2*(p + 13)*(p + 59)
Let h = 1611 - 1295. Let y = 1583/5 - h. Determine x, given that 6/5 - y*x**3 + 12/5*x**2 - 3*x = 0.
1, 2
Let u(j) be the third derivative of 229*j**2 + 0*j + 79/240*j**5 - 7/480*j**6 + 0 - j**3 + 31/48*j**4. Factor u(w).
-(w - 12)*(w + 1)*(7*w - 2)/4
Let a = -8595 + 8597. Let l(u) be the first derivative of 0*u + u**5 + 0*u**4 + 0*u**a - 3 - 5/3*u**3. Let l(q) = 0. Calculate q.
-1, 0, 1
Suppose 52*g - 51 - 209 = 0. Let f(y) = y**3 - 6*y**2 + 27. Let x be 