e -70*y - 3213 = -77*y. Let -471*x**2 + 0*x**3 + 56 + 4 - 52*x + y*x**2 + 4*x**3 = 0. What is x?
-3, 1, 5
Let y(b) be the second derivative of -b**4/4 - 143*b**3/2 - 213*b**2 + 2*b + 2209. Let y(p) = 0. Calculate p.
-142, -1
Let b(a) be the second derivative of -a**5/180 - 17*a**4/72 + a**3 + 13*a**2/2 + 96*a. Let s(k) be the first derivative of b(k). Factor s(u).
-(u - 1)*(u + 18)/3
Let j be (4 + -13)/((-2)/50). Solve 405*o**4 + 66*o - 297*o**2 - 201*o**4 + 48 + 204*o**3 - j*o**4 = 0.
-2/7, 1, 8
Let b be (-5)/25 + 48/15. Let -5*z**2 - 2*z**b + 2*z + 2*z + 9*z**2 + 3*z**3 + 0*z**3 = 0. What is z?
-2, 0
Let d(k) = 11*k - 61. Let j be d(6). Factor 22*h**4 + 7*h**5 - 5*h**j - 6*h**4.
2*h**4*(h + 8)
Let l(r) = -16*r - 3*r**2 - 25 + 4*r**2 - 7*r**2 + 5*r**2. Let j be l(-14). Factor 16*m**2 - 6*m**3 - 12*m + 3*m**j - 4*m**2.
-3*m*(m - 2)**2
Let w(x) be the third derivative of x**8/1680 - 17*x**7/525 + 373*x**6/600 - 358*x**5/75 + 469*x**4/30 - 392*x**3/15 + 277*x**2. Solve w(l) = 0.
1, 4, 14
Let -3/4*g**4 + 0 + 81/2*g**2 + 54*g + 21/4*g**3 = 0. What is g?
-3, -2, 0, 12
Factor -4/3*k + 0 + 1/3*k**2.
k*(k - 4)/3
Let 128/9 + 8/3*d + 1/9*d**2 = 0. What is d?
-16, -8
Let c = 90 - 100. Let g = c - -12. Factor 3*s**2 - 5*s + 4*s - 2*s**g - 4 - 2*s.
(s - 4)*(s + 1)
Suppose 5*q - 127 - 373 = 0. Suppose 0 = q*u + 5*u - 160965. Factor -522*c**3 + u*c**4 + 516/7*c**2 + 0 - 24/7*c - 1617*c**5.
-3*c*(7*c - 2)**3*(11*c - 1)/7
Let d = -2747 - -5495/2. Let g(v) be the first derivative of 4/15*v**3 + 2/5*v - d*v**2 + 10 - 1/20*v**4. Factor g(a).
-(a - 2)*(a - 1)**2/5
Let b(c) be the third derivative of c**5/150 + 161*c**4/60 - 3904*c**2. Suppose b(x) = 0. What is x?
-161, 0
Let q be (-13200)/390 - (50/(-13) - -4). Let v be ((-85)/q)/(70/4). Solve -2/7 - 5/7*a - 4/7*a**2 - v*a**3 = 0.
-2, -1
Let q(j) = 3*j**2 - 198*j - 1809. Let p(x) = -2*x**2 + 2*x + 1. Suppose 11 = 2*v + 9. Let y(d) = v*q(d) + 4*p(d). Factor y(k).
-5*(k + 19)**2
Let x(r) be the first derivative of -2645*r + 115*r**2 - 152 - 5/3*r**3. Let x(n) = 0. Calculate n.
23
Let p(q) be the first derivative of -q**5/10 - 55*q**4/8 + 283*q**3/2 - 2429*q**2/4 - 1666*q - 8569. Find w such that p(w) = 0.
-68, -1, 7
Solve 82/9*w + 28/3 - 2/9*w**2 = 0 for w.
-1, 42
Suppose 0 = -5*a + 48 - 8. What is g in -78*g**2 + 165*g**2 - a*g - 24 - 107*g**2 + 2*g**3 - 38*g = 0?
-1, 12
Let p(r) be the second derivative of -2*r**6/15 - 164*r**5/5 - 6886*r**4/3 - 8856*r**3 - 13122*r**2 - 1137*r. Solve p(i) = 0.
-81, -1
Suppose k + 68 = 3*k - 5*x, 4*x = -k + 8. Let h be ((-60)/(-18))/(40/k). What is u in 162/5 + 36/5*u + 2/5*u**h = 0?
-9
Let z = -2779238/5 + 555854. Find w such that -z*w**4 + 24/5 + 48/5*w**3 + 8/5*w**2 - 52/5*w + 4/5*w**5 = 0.
-1, 1, 6
Let u(j) = 42*j**3 + 48*j**2 + 5*j - 5. Let b(n) = -834*n**3 - 1055*n**2 - 110*n + 31 - 91*n**3 + 79. Let l(i) = -2*b(i) - 45*u(i). Factor l(m).
-5*(m + 1)*(2*m + 1)*(4*m - 1)
What is i in -49/4*i**2 + 61/4*i**3 + 0 + i**4 - 4*i = 0?
-16, -1/4, 0, 1
Let x(g) be the first derivative of 5*g**3 - 10*g**2 + 5*g - 69. Let r(o) = -15*o**2 + 20*o - 5. Let w(y) = -3*r(y) - 4*x(y). Solve w(k) = 0 for k.
1/3, 1
Let z = 1839 - 1030. Factor -w**4 - 1610 + 4*w**2 + 801 + z.
-w**2*(w - 2)*(w + 2)
Let g(t) be the second derivative of -t**8/168 + t**6/60 + 43*t**2/2 + 38*t. Let l(s) be the first derivative of g(s). Factor l(h).
-2*h**3*(h - 1)*(h + 1)
Factor -8*b - 5*b**4 + b**5 + 6*b**3 + 102*b**2 + 106*b**2 - 308*b**2 + 104*b**2.
b*(b - 2)**3*(b + 1)
Let z(s) be the first derivative of 4*s**5/5 + s**4 - 152*s**3/3 - 72*s**2 + 288*s + 1381. Let z(t) = 0. Calculate t.
-6, -2, 1, 6
Let t(n) = 14*n - 198. Let r be t(9). Let u be r/9 + 20/2. Suppose 2/9 - 2/9*w**u + 2/9*w - 2/9*w**3 = 0. Calculate w.
-1, 1
Let r(z) be the first derivative of -z**4 - 16*z**3 - 42*z**2 - 40*z - 1039. Solve r(l) = 0.
-10, -1
Let x = -2906094/5 + 581219. Find k, given that 0 - 27/5*k**2 + x*k**5 + 18/5*k + 7/5*k**4 + 1/5*k**3 = 0.
-6, -3, 0, 1
Suppose 2/7*w**4 - 66/7*w + 0 - 62/7*w**3 - 130/7*w**2 = 0. Calculate w.
-1, 0, 33
Let l(x) be the second derivative of 3*x**5/160 + x**4/12 - 11*x**3/48 + 117*x. Suppose l(i) = 0. What is i?
-11/3, 0, 1
Let d(t) be the first derivative of 2*t**3/39 - t**2/13 - 144*t/13 - 714. Factor d(v).
2*(v - 9)*(v + 8)/13
Let t(b) = -2*b**3 + 7*b**2 - 2*b - 1. Suppose 16*a + 6 - 54 = 0. Let y be t(a). Factor -1/6*p**y + 1/3*p - 1/6.
-(p - 1)**2/6
Let r = 1028990 - 5144929/5. What is u in -102/5*u + r*u**4 + 441/5*u**2 - 288/5*u**3 - 72/5 = 0?
-2/7, 1, 12
Suppose -508 = -6*b - 3184. Let v = b - -446. Factor -5/3*r**2 - 1/3*r + v + 2*r**3.
r*(r - 1)*(6*r + 1)/3
Factor 1/7*a**3 - 24/7*a**2 - 51/7*a - 26/7.
(a - 26)*(a + 1)**2/7
Let f(v) be the second derivative of -11*v**6/10 - 1689*v**5/20 - 9639*v**4/4 - 55777*v**3/2 - 14739*v**2 - 3050*v. Factor f(p).
-3*(p + 17)**3*(11*p + 2)
Let l(w) be the second derivative of w**6/72 - 7*w**5/24 + 5*w**4/2 + 29*w**3/2 - 141*w. Let n(a) be the second derivative of l(a). What is c in n(c) = 0?
3, 4
Let w be ((-5)/(-3 + 13))/(-386). Let x = w + 3085/2316. Let 16/3*z**3 - 20/3*z**5 + 32/3*z**4 + 8/3 - 40/3*z**2 + x*z = 0. What is z?
-1, -2/5, 1
Suppose 0 = -4*u + 3*x + 48, -3*u - 4*x + 65 = x. Factor 446*m - 4900 - 9*m**2 - 166*m - u*m**2 + 20*m**2.
-4*(m - 35)**2
Let x(b) be the first derivative of 0*b + b**4 + 0*b**2 + 32/3*b**3 - 212. Factor x(j).
4*j**2*(j + 8)
Let a be ((-14)/(-6)*-3)/((-6)/30). Factor -a*b**4 - 48 - 33*b**4 + 102*b**4 - 22*b**3 - 76*b**2 - 36*b**4 - 104*b.
-2*(b + 1)*(b + 2)**2*(b + 6)
Factor 0*o + 2*o**2 + 1/5*o**4 + 0 + 7/5*o**3.
o**2*(o + 2)*(o + 5)/5
Let b(v) be the first derivative of v**6/8 - 3*v**5/20 - 15*v**4/16 + v**3/4 + 3*v**2 + 3*v - 816. Factor b(c).
3*(c - 2)**2*(c + 1)**3/4
Let h be 2*(-174)/(-56)*(-21)/(-6). Let m = h + -21. Determine x so that -m*x**2 - 3 - 3*x = 0.
-2
Let 19/2*r**2 - 69/10*r - 27/10*r**3 + 0 + 1/10*r**4 = 0. Calculate r.
0, 1, 3, 23
Let n be (-645)/2*(363/120 - 3) + 9. Let d(h) be the first derivative of 3/10*h**5 - 3/8*h**2 + 3/4*h**3 - 3/4*h + 33 + n*h**4. Factor d(p).
3*(p + 1)**3*(2*p - 1)/4
Let i(v) be the second derivative of v**5/20 + 5*v**4/4 + 21*v**3/2 - 144*v**2 + 194*v. Let g(j) be the first derivative of i(j). Find p, given that g(p) = 0.
-7, -3
Let h(v) = -v**2 + v. Let a(f) = f**3 + 14*f**2 - 131*f - 106. Let d(t) = a(t) - 4*h(t). Let s(m) be the first derivative of d(m). Let s(p) = 0. What is p?
-15, 3
Let b = 1734583/3 + -578193. Factor b - 22/3*s**2 - 6*s.
-2*(s + 1)*(11*s - 2)/3
Let i(f) be the second derivative of 3*f**6/85 - 13*f**5/85 - 2*f**4/51 + 40*f**3/51 - 2039*f. Find b such that i(b) = 0.
-10/9, 0, 2
Let z(v) = -v**3 - 34*v**2 + 88*v - 80. Let j = 744 + -741. Let q(p) = -2*p**3 - 36*p**2 + 88*p - 80. Let t(b) = j*q(b) - 4*z(b). Factor t(x).
-2*(x - 10)*(x - 2)**2
Let w(u) be the first derivative of -3/16*u**4 + 0*u**2 + 0*u + 86 - 11/4*u**3. Determine t so that w(t) = 0.
-11, 0
Let x = 175136 - 175136. Solve x + 5/3*y**2 - 1/3*y**3 - 4/3*y = 0 for y.
0, 1, 4
Suppose 274 = -7*p - 104. Let s = 58 + p. Factor s*u**3 + 19*u + 30*u**2 + 17*u - 5*u**2 - u**2.
4*u*(u + 3)**2
Let u be (1 - 1)/2 - 60/330*-11. Let f(h) be the first derivative of 39 + 0*h - 1/3*h**3 + 3/2*h**u. Solve f(m) = 0.
0, 3
Let f(x) be the second derivative of -x**6/10 + 3*x**5/2 + 67*x**4/4 + 58*x**3 + 90*x**2 + 3971*x + 1. Factor f(h).
-3*(h - 15)*(h + 1)*(h + 2)**2
Find i, given that 24336 - 456*i**2 - 2*i**4 - 4368*i + 6*i**4 + 56*i**3 + 28*i**2 = 0.
-13, 6
Let v(f) be the second derivative of -f**6/270 + 19*f**5/180 - 19*f**4/18 + 130*f**3/27 - 100*f**2/9 + f - 4240. Determine z, given that v(z) = 0.
2, 5, 10
Let o(f) be the second derivative of 10/3*f**2 + 1/3*f**3 + 2 - 34*f - 1/18*f**4. Factor o(d).
-2*(d - 5)*(d + 2)/3
Let n(a) be the first derivative of -6*a**2 - 7 + 0*a**3 + 0*a + 1/70*a**5 + 1/28*a**4. Let u(r) be the second derivative of n(r). Factor u(f).
6*f*(f + 1)/7
Let y be (-135)/(-126) + (-20)/35. Let h = -501 - -505. Factor -1/4*g + y*g**h - 1/2*g**2 + 0*g**3 + 1/4*g**5 + 0.
g*(g - 1)*(g + 1)**3/4
Suppose -22*k + 40*k + 4986 = 0. Let v = -553/2 - k. Let 3/2*o**4 - v*o**5 - 2*o**2 + 0*o + 0 + 0*o**3 = 0. Calculate o.
-1, 0, 2
Let w(k) be the second derivative of k**6/30 + k**3/6 - 11*k -