-1 - -2). Let -x*i + 2*i**3 + 3*i**2 - 166 + 59 + 51 - i**3 + 61 = 0. What is i?
-5, 1
Let j(l) = -l**3 - 23*l**2 + 24*l + 8. Let y be j(-24). Let c be (y/(-7))/((-20)/70). Factor -16*u**c - 18*u**3 - 2*u**3 - 2*u**2 - 3*u**2 - 4*u**5 - 3*u**2.
-4*u**2*(u + 1)**2*(u + 2)
Let y = -113 + -1263. Let s = y + 1378. Solve -s + 12/7*q + 2/7*q**2 = 0.
-7, 1
Let g be (340/136)/((-1)/2). Let n(f) = -7*f**2 - 41*f - 117. Let h(m) = 4*m**2 + 21*m + 59. Let r(s) = g*h(s) - 3*n(s). Solve r(x) = 0 for x.
-14, -4
Let o(y) = 3*y**4 - 90*y**3 + 603*y**2 + 2607*y - 31119. Let s(a) = -3*a**2 + a - 1. Let t(f) = o(f) - 15*s(f). Find q such that t(q) = 0.
-6, 12
Let c = -98 + 94. Let a be c*(-2)/4 + 0/(-23). Let -48*m + 16 - 17*m**2 - 20*m**2 - 2*m**2 + 11*m**a = 0. Calculate m.
-2, 2/7
Let u(f) be the second derivative of -5*f**4/8 - 47*f**3/36 - f**2/6 - 54*f + 14. Factor u(m).
-(m + 1)*(45*m + 2)/6
Let l(d) be the second derivative of -d**6/540 + 5*d**5/9 - 625*d**4/9 - d**3/6 + 24*d**2 + 175*d. Let p(g) be the second derivative of l(g). Factor p(x).
-2*(x - 50)**2/3
Let f = 1111 - 1109. Let y(g) be the second derivative of 0 + 0*g**f - 8/27*g**4 - 17*g + 7/90*g**5 + 4/27*g**3. Factor y(j).
2*j*(j - 2)*(7*j - 2)/9
Factor 8*c - 75*c**2 - 315*c - 8*c - 141 - 151 - 5*c**3 - 113.
-5*(c + 3)**2*(c + 9)
Suppose 17*g + 27 - 639 = 0. Suppose 31*m + g = 37*m. Let m*i + 75/2*i**5 + 207/2*i**3 - 42*i**2 - 105*i**4 + 0 = 0. Calculate i.
0, 2/5, 1
Let w(s) be the third derivative of -s**7/280 - s**6/120 + s**5/10 + s**4/2 - 9*s**3 - s**2 - 29. Let h(z) be the first derivative of w(z). Factor h(m).
-3*(m - 2)*(m + 1)*(m + 2)
Suppose 3*x = 3*g - 57, 0 = 8*g - 4*g + 20. Let j be (x/10)/(462/(-165)). Find v such that 4/7*v - j + 2/7*v**2 = 0.
-3, 1
Let t be ((-27)/6)/(10/4) + 2. Let y = 490 + -2447/5. Determine q so that 1/5*q**4 + 0 + t*q + 3/5*q**2 + y*q**3 = 0.
-1, 0
Let g(d) = -d**2 - 40*d + 119. Let a be g(-45). Let t = a + 108. Factor 1/6*x**3 + 0 - 1/3*x + 1/6*x**t.
x*(x - 1)*(x + 2)/6
Let x = -1793/12 + 449/3. Let v(k) be the second derivative of 0 + 11/24*k**3 + 1/24*k**6 + x*k**2 + 11*k + 7/16*k**4 + 17/80*k**5. Factor v(g).
(g + 1)**3*(5*g + 2)/4
Let w(c) be the third derivative of c**5/60 - 835*c**4/24 + 106*c**2 - 9. What is b in w(b) = 0?
0, 835
Let i(k) be the second derivative of 2*k**3 - 1/5*k**6 + 7/4*k**4 - 1/28*k**7 + 1 - 45*k + 9/40*k**5 + 0*k**2. Let i(r) = 0. Calculate r.
-4, -1, 0, 2
Suppose 0 = -2*p - 2*d + 12, -113*p + 4*d = -115*p + 24. What is y in -10/13*y**3 + 0*y**2 + 0 - 2/13*y**4 + p*y = 0?
-5, 0
Let p(u) be the second derivative of -u**4/14 + 10*u**3/7 + 117*u**2/7 - 983*u. Suppose p(t) = 0. Calculate t.
-3, 13
Let z(h) = -10*h**3 - 48*h**2 + 456*h - 1204. Let p(i) = 12*i**3 + 47*i**2 - 455*i + 1203. Let u(x) = -6*p(x) - 7*z(x). Factor u(b).
-2*(b - 11)**2*(b - 5)
Factor -1/3*j**3 + 164/3*j + 56 + 38/3*j**2.
-(j - 42)*(j + 2)**2/3
Suppose -3*s + 319 = 5*x, -x + 5*s + 295 = 4*x. Let w = x - 59. What is j in 1/3*j**w - 4/3*j + 4/3 - 1/3*j**2 = 0?
-2, 1, 2
Let s = 707312 - 707312. Determine d, given that 24/5*d**2 - 2*d**3 + s + 18/5*d**5 - 8/5*d - 24/5*d**4 = 0.
-1, 0, 2/3, 1
Suppose 5*w - 74 = n, 2*w = -3*w - n + 76. Suppose -5*i = -w, 0*f - 8 = -f - i. What is r in -2/3*r**3 + 2/3*r**4 - 7/3*r - 2/3 - 8/3*r**2 + 1/3*r**f = 0?
-1, 2
Let a(t) be the second derivative of 16/3*t**4 + 6*t + 131072/3*t**2 - 4 - 1/60*t**5 - 2048/3*t**3. Factor a(f).
-(f - 64)**3/3
Let u = -34 + 39. Let z(a) = a**2 - 3*a - 3. Let p be z(u). What is r in p*r**4 - r**3 - 3*r**3 - 6*r**3 + 5*r**2 - 2*r**4 = 0?
0, 1
Let u(m) be the first derivative of m**6/30 + 107*m**5/90 + 13*m**4 - 9*m**3 - 2*m**2 + 3*m + 15. Let a(v) be the second derivative of u(v). Factor a(s).
2*(s + 9)**2*(6*s - 1)/3
Suppose -40 = 3*q - 8*q + 5*r, 5*q = 4*r + 35. Suppose 0 = -270*b + 277*b. Let 0*d + 1/3*d**4 - 2/3*d**q + b - d**2 = 0. Calculate d.
-1, 0, 3
Let o(u) be the second derivative of -u**6/120 - u**5/12 - u**4/12 + 4*u**3/3 - 15*u**2 - 119*u + 1. Let w(d) be the first derivative of o(d). Factor w(k).
-(k - 1)*(k + 2)*(k + 4)
Let i(a) = -4*a - 12. Let w be i(-4). Suppose 4*s - 16 = -w*c, c = -4*s + 2*c + 36. Find f, given that -6*f - 6 + 2*f - 4*f**2 - 2 - s*f = 0.
-2, -1
Let m(k) be the first derivative of 2*k**3/3 - 4*k**2 + 6*k - 9. Let p = 54 - 55. Let o(l) = l**2 - 1. Let s(w) = p*m(w) - 2*o(w). Factor s(z).
-4*(z - 1)**2
Let v(b) = -b**2 + 9*b - 2. Let m(d) = -768809*d**2 - 7359*d - 36. Let w(o) = -2*m(o) + 18*v(o). Find i such that w(i) = 0.
-3/620
Let t(a) be the first derivative of -a**6/40 + 11*a**5/20 - 9*a**2/2 - a + 12. Let f(n) be the second derivative of t(n). Factor f(y).
-3*y**2*(y - 11)
Let z = -30 + 33. Suppose 0 - 1/2*x**4 + 1/2*x**2 - 1/2*x + 1/2*x**z = 0. Calculate x.
-1, 0, 1
Let g(l) be the first derivative of -2*l**7/147 + 146*l**6/105 - 116*l**5/105 - 57*l**2 + 233. Let j(n) be the second derivative of g(n). Factor j(p).
-4*p**2*(p - 58)*(5*p - 2)/7
Let t be (-182)/91 + 10 + -6 + 1. Factor 21/4 - 21/4*n**2 - 3/4*n + 3/4*n**t.
3*(n - 7)*(n - 1)*(n + 1)/4
Solve -246769*w + 5*w**3 + 21*w**5 - 2*w**3 - 12 + 69*w**2 + 246745*w - 57*w**4 = 0.
-1, -2/7, 1, 2
Suppose 16*s = -5*l + 13*s + 573, -2*s = -2. Determine q so that -l*q + 8*q**2 + 289 - 76*q**3 + 26*q + 75*q**3 - 41*q**2 - 167*q = 0.
-17, 1
Let h(f) = -6*f**3 + 12*f**2 + 258*f + 356. Let v(q) = -20*q**3 + 35*q**2 + 795*q + 1066. Let y(w) = 7*h(w) - 2*v(w). Factor y(u).
-2*(u - 15)*(u + 2)*(u + 6)
Let l(u) = -3*u**3 - 243*u**2 + 751*u - 416. Let v be l(-84). Factor -3/2*w**v + 0 - 54*w**2 + 0*w - 18*w**3.
-3*w**2*(w + 6)**2/2
Suppose 0 = 21*u + 9*u - 120. Suppose 3*r - 38 - 8 = 2*i, 2*i = -3*r + 26. What is g in 3*g**3 + r*g + 5*g**3 + g**u - 3*g**4 + 24*g**2 - 2*g**2 = 0?
-1, 0, 6
Suppose -75/4*a**2 - 11 + 85/4*a**3 - 50*a + a**4 = 0. Calculate a.
-22, -1, -1/4, 2
Suppose -1449*h = -1443*h - 12. Let r = 4 - 5/2. Factor r + 1/2*a**2 + h*a.
(a + 1)*(a + 3)/2
Suppose -43*v + 46186 = 778. Let a = v + -3167/3. Factor -8/3 + a*m**2 + 2/3*m.
(m - 2)*(m + 4)/3
Factor 75 + 90 - 3*b**3 + b**5 - 165 + 2*b**4.
b**3*(b - 1)*(b + 3)
Let h(s) be the first derivative of -1/18*s**6 + 0*s**3 + 0*s**4 - 71 + 0*s + 0*s**2 - 1/3*s**5. Let h(u) = 0. Calculate u.
-5, 0
Let d(b) be the second derivative of -b**6/120 + 1769*b**5/80 - 260485*b**4/16 - 261075*b**3/8 + 628*b. Find r such that d(r) = 0.
-1, 0, 885
Let o(b) be the third derivative of b**7/70 - 17*b**6/20 + 31*b**5/20 + 33*b**4/4 - b**2 - 2100. Factor o(m).
3*m*(m - 33)*(m - 2)*(m + 1)
Let l(r) = 6*r**2 + 29*r - 15. Let n(d) = -2*d**2 - d - 1. Let h = 84 + -89. Let s(u) = h*n(u) - l(u). Solve s(o) = 0 for o.
1, 5
Let i(w) be the third derivative of w**7/420 + 31*w**6/60 + 529*w**5/20 - 10385*w**4/12 + 112225*w**3/12 - 2*w**2 + 163*w. Suppose i(a) = 0. Calculate a.
-67, 5
Determine f, given that 1/6*f**5 + 176/3*f + 42*f**2 + 5/2*f**4 + 32 + 44/3*f**3 = 0.
-4, -3, -2
Let r(t) be the first derivative of -t**6/360 + t**4/24 + 16*t**3/3 + t**2 - 34. Let c(l) be the third derivative of r(l). Factor c(h).
-(h - 1)*(h + 1)
Let j(b) = b**2 - 1287*b + 2574. Let s be j(2). Factor 2496/7*u - 66/7*u**s - 3/7*u**5 - 1536/7 - 456/7*u**2 - 435/7*u**3.
-3*(u - 1)**2*(u + 8)**3/7
Let a = -14908/33 + 14914/33. Factor -a*v**2 - 2 - 24/11*v.
-2*(v + 1)*(v + 11)/11
Suppose 8*h + 14*h - 5*h = 3*h. Let p(u) be the third derivative of 1/60*u**5 - 5*u**2 + 0 + 1/8*u**4 + 0*u**3 + h*u. Factor p(z).
z*(z + 3)
Let x(s) be the third derivative of s**7/105 + 101*s**6/30 + 9997*s**5/30 - 1717*s**4 + 3468*s**3 + 1328*s**2. Factor x(c).
2*(c - 1)**2*(c + 102)**2
Determine j, given that -111/4*j - 21/2 - 15/4*j**2 = 0.
-7, -2/5
Let m(x) be the first derivative of -4*x**3/21 + 52*x**2 - 4732*x + 2485. Let m(u) = 0. Calculate u.
91
Let m = -9643 + 183167/19. Let i = 407/133 + m. Factor -18/7*l**3 - 75/7*l + 24/7*l**4 - 120/7*l**2 + 0 - i*l**5.
-3*l*(l - 5)**2*(l + 1)**2/7
Let r(u) be the second derivative of -u**8/112 + u**7/70 + u**6/20 - 9*u**2/2 + u - 7. Let v(x) be the first derivative of r(x). What is q in v(q) = 0?
-1, 0, 2
Let j(p) = -11*p**2 + 1120*p + 313608. Let v(r) = -17*r**2 + 1120*r + 313612. Let u(t) = -3*j(t) + 2*v(t). Factor u(d).
-(d + 560)**2
Let g = 5509 + -5506. Let h(r) = r**2 - 4*r - 24