**2 - 137*d**2 + 295*d**x - 16*d + d**5 = 0.
-2, 0, 2
Let h(l) = 45*l**2 - 14*l + 197. Let b be h(9). Factor 67786 + 3233*t - b*t + 7200*t**2 + 35043*t - 12490 + 500*t**3.
4*(5*t + 24)**3
Let v(j) be the second derivative of j**4/20 - 19*j**3/10 - 87*j**2 - 3393*j. Solve v(m) = 0.
-10, 29
Let q(h) be the second derivative of -h**4/4 + 7*h**3/6 + 5*h**2/2 - 65*h. Let f(m) = -m**2 + 4*m + 2. Let t(k) = 5*f(k) - 2*q(k). Factor t(i).
i*(i + 6)
Let p be ((-1)/2)/((-279499)/18634 - -15). Let b = -844 - p. Factor 0 - 2/9*z**2 - 2/9*z**4 + 0*z + 4/9*z**b.
-2*z**2*(z - 1)**2/9
Let z = -523 + 576. Suppose -15*x = -z*x. Factor x - 2/11*h**2 + 0*h + 6/11*h**3 - 4/11*h**4.
-2*h**2*(h - 1)*(2*h - 1)/11
Let b(a) = -11*a - 10*a + 26*a - 16 - 10*a. Let j be b(-11). Factor 35 + 2*d**3 - 18*d**2 + 30*d + j - 88.
2*(d - 7)*(d - 1)**2
Let k(t) be the first derivative of 4*t**5/5 + t**4 - 23*t**3/3 + 3*t**2 + 9*t - 1269. Let k(g) = 0. What is g?
-3, -1/2, 1, 3/2
Determine k so that -192/5*k - 603/5 + 3/5*k**2 = 0.
-3, 67
Let b(u) be the second derivative of -u**4/66 - 5506*u**3/33 - 7579009*u**2/11 + 30*u + 31. Factor b(n).
-2*(n + 2753)**2/11
Let w(k) = 2*k**2 + 34*k - 31. Let v be w(-18). Suppose 2*r + 13 = v*n, -4*n - 7*r = -6*r - 13. Find d such that 3/2*d**4 + 6 - 9*d**n - 18*d + 39/2*d**2 = 0.
1, 2
Let m(f) = 2*f + 7. Let u be m(-4). Let n be ((-13)/3 - u)*(-42)/35. Suppose 2 + 4*y**2 - 6*y**4 - y + 2*y**5 + 5*y - 4*y**5 - n*y**3 + 2*y = 0. What is y?
-1, 1
Let b be 9 - (-2)/1 - 7. Suppose 2*s - 2*f + 6 - 16 = 0, -b*s + 14 = -2*f. Factor 24 + 2/3*z**s - 8*z.
2*(z - 6)**2/3
Factor -204/5*h**2 - 2/5*h**3 - 158*h - 588/5.
-2*(h + 1)*(h + 3)*(h + 98)/5
Let d(g) be the third derivative of 1/560*g**8 + 0*g**5 - 2*g + 5*g**2 + 3/5*g**3 - 3/175*g**7 - 11/40*g**4 + 0 + 1/20*g**6. What is f in d(f) = 0?
-1, 1, 2, 3
Let g(r) be the second derivative of -r**4/24 + 125*r**3/12 + 63*r**2/2 - 505*r. Factor g(i).
-(i - 126)*(i + 1)/2
Let g be (10 - -38)/8 - -6. Let p be 3/((-15)/20)*g/(-9). Factor -p - 54*c**3 + 60*c**2 - 8*c.
-2*(3*c - 2)**2*(9*c + 2)/3
Let k(a) be the first derivative of 8*a - 1/120*a**6 - 1/20*a**5 - 1 - 1/8*a**2 - 1/8*a**4 - 1/6*a**3. Let v(d) be the first derivative of k(d). Factor v(t).
-(t + 1)**4/4
Let f = -3375 + 3377. Let l(a) be the third derivative of 0 + 2/5*a**5 + 0*a**4 - 7/30*a**6 + 29*a**f + 0*a**3 + 0*a + 2/105*a**7. Factor l(m).
4*m**2*(m - 6)*(m - 1)
Let t(f) = f**3 + 9*f**2 + 8*f + 9. Let c be t(-6). Let s = c - 55. Find i, given that -s*i - 5*i**2 + 4*i + 10 - 10 = 0.
-2, 0
Suppose 3052 = -59*j - 5*i + 2972, -4*i - 64 = -j. Factor 1/4*s**2 + j + 17/4*s.
s*(s + 17)/4
Factor -3/2*h**3 + 0*h + 0 + 48*h**2.
-3*h**2*(h - 32)/2
Suppose 4*z = q - 18, 0 = -q + 62*z - 66*z - 14. Let l(h) be the first derivative of 2/15*h**3 + 32/5*h + 8/5*h**q - 21. Factor l(n).
2*(n + 4)**2/5
Suppose -i + 12 = -2*r, r - 3*r = -5*i + 36. Factor -84*d**2 + 30 + 89*d**2 - 17*d - 2*d - i*d.
5*(d - 3)*(d - 2)
What is o in 24/5 + 19/5*o - 1/5*o**3 - 6/5*o**2 = 0?
-8, -1, 3
Let h be -14*2/(-12)*(11 + (-1672)/154). Factor -2*w**2 + 0 + h*w**3 + 0*w.
w**2*(w - 6)/3
Factor -16*s**2 - 115/2*s - 42 - 1/2*s**3.
-(s + 1)*(s + 3)*(s + 28)/2
Let n(b) be the first derivative of b**3/3 + 37*b**2/2 + 286*b - 2101. Factor n(q).
(q + 11)*(q + 26)
Suppose -3235*j - 2656 = -3239*j. Let z = -662 + j. Factor 18/7 + 15/7*k**z - 51/7*k.
3*(k - 3)*(5*k - 2)/7
Factor 0 + 0*c**2 + 3/4*c**5 + 0*c + 63/4*c**3 - 33/2*c**4.
3*c**3*(c - 21)*(c - 1)/4
Suppose 3*n - 670 = 8*n. Let r = -132 - n. Factor 3*a**3 + 164 + 297*a + 56*a**2 + 79 + a**r.
3*(a + 1)*(a + 9)**2
Suppose -37*f + 14364 = -94*f. Let v be f/(-396)*11/3. Factor 0*m**3 + 0 + 1/3*m**4 - v*m**2 + 2*m.
m*(m - 2)*(m - 1)*(m + 3)/3
Let w(h) = h**3 + 67*h**2 + 572*h - 7016. Let t be w(-54). Suppose 0*q - 8/7*q**t + 0 - 4/7*q**5 + 0*q**2 + 0*q**3 = 0. Calculate q.
-2, 0
Let i(v) be the third derivative of -1/2*v**4 + 0*v**3 - 1/10*v**7 - 3/8*v**6 + 5*v**2 + 2*v - 13/20*v**5 + 0 - 1/112*v**8. Factor i(n).
-3*n*(n + 1)**3*(n + 4)
Let p = 3 - 2. Let a(j) = 4*j**2 - 18*j + 81. Let n(y) be the first derivative of -y**3/3 + 848. Let c(k) = p*a(k) + 3*n(k). Factor c(o).
(o - 9)**2
Let r = -38 + 58. Suppose 2*a = 4*a - r. Find p, given that 40 - 8 + 48*p + a*p**2 - p**3 + 5*p**3 + 14*p**2 = 0.
-2
Let s = 41276/63 - 41234/63. What is o in 0 - 1/3*o**2 + s*o = 0?
0, 2
Determine m, given that 207/7*m**2 + 657/7 - 867/7*m + 3/7*m**3 = 0.
-73, 1, 3
Factor 49*r**2 - 20*r - 16*r**3 - 40*r**2 + 15*r**3.
-r*(r - 5)*(r - 4)
Let c(k) be the first derivative of 2/15*k**5 + 0*k + 0*k**2 + 1/3*k**4 + 8/27*k**3 + 1/54*k**6 - 84. Let c(l) = 0. What is l?
-2, 0
Let l = 27162 + -27134. Let b(t) be the second derivative of -5/6*t**2 + 7/36*t**3 + l*t + 0 - 1/72*t**4. What is k in b(k) = 0?
2, 5
Let d be -7 + 3*8 + -105 + 100 + -10. Let -243/2 - 3/2*m**d + 27*m = 0. What is m?
9
Let t = -7827 - -62623/8. Let u(a) be the third derivative of 20*a**2 - 3*a**3 + 0 + 0*a - 2/15*a**5 - 1/120*a**6 - t*a**4. Determine m, given that u(m) = 0.
-3, -2
Let -69/2*p**2 - 128 + 162*p + 1/2*p**3 = 0. What is p?
1, 4, 64
Let g be (2/(-42)*3)/(((-144)/14)/6). Let m(i) be the third derivative of 1/24*i**6 + 5/6*i**3 - 12*i**2 + 0*i - g*i**5 + 0 - 5/24*i**4. Factor m(h).
5*(h - 1)**2*(h + 1)
Let c(s) be the third derivative of s**7/315 - 7*s**6/36 + 17*s**5/45 + 521*s**2 - 1. Let c(z) = 0. Calculate z.
0, 1, 34
Let l(i) = 4*i**3 + 245*i**2 - 490*i + 244. Let b(a) = 6*a**3 + 244*a**2 - 490*a + 244. Let v(n) = 3*b(n) - 4*l(n). Factor v(f).
2*(f - 122)*(f - 1)**2
Suppose 0 = 765*p + 1287 - 1287. Factor 3/2*m - 3/4*m**3 - 3/4*m**2 + p.
-3*m*(m - 1)*(m + 2)/4
Suppose 0 = 21*s - 20*s - 6. Suppose b = 2, 0 = s*j - 3*j + 5*b - 28. Find f, given that 9*f**3 + 4*f**2 + j*f**3 - 4 - 17*f**3 + 2*f = 0.
-1, 1, 2
Let o be (-7)/(7/(-4)) + 0. Suppose 41*j - 129*j**o + 127*j**4 - 13*j - 10*j**2 - 16*j**3 = 0. What is j?
-7, -2, 0, 1
Let p(h) = -h**2 + 3*h + 1. Let l(n) = 378*n + 314. Let f(s) = -76*s - 63. Let z(g) = -11*f(g) - 2*l(g). Let i(t) = 5*p(t) - z(t). Suppose i(b) = 0. What is b?
-12, -1
Let a be (8 + -12 - -2)/(-1). Let z be (16/6)/((-30)/(-9)). What is o in o - z - 1/5*o**a = 0?
1, 4
Let w(v) be the first derivative of 3*v**5/100 + v**4/20 - 98*v - 70. Let r(k) be the first derivative of w(k). Solve r(o) = 0 for o.
-1, 0
Let k = 6254 - 6254. Let b(h) be the second derivative of k*h**3 - 1/30*h**4 + 0 + 1/5*h**2 + 13*h. Let b(y) = 0. Calculate y.
-1, 1
Suppose 0 = r - 4. Let g(d) = 3*d**2 + 4*d - 11*d**2 - 3 + r*d. Let w(v) = -15*v**2 + 15*v - 5. Let y(h) = 5*g(h) - 3*w(h). Find i, given that y(i) = 0.
0, 1
Suppose -2*v - 33*r + 14 = -35*r, -4*r = -5*v + 33. Let c(l) = -l**2 + 58*l - 829. Let q(d) = -2. Let n(t) = v*c(t) + 30*q(t). Let n(x) = 0. What is x?
29
Suppose 0 = d + n + 7, n - 43 = 2*d - 17. Let x be d + (-7 - 232/(-12)). Let 2/3*f**2 + x*f - 2 = 0. What is f?
-3, 1
Let x = -732216 - -3661083/5. Suppose x*k**2 + 33/5*k + 54/5 = 0. Calculate k.
-9, -2
Let w(i) = i**4 - 50*i**3 - 246*i**2 - 316*i + 4. Let x(k) = 2*k**4 - 52*k**3 - 245*k**2 - 314*k + 6. Let y(t) = 3*w(t) - 2*x(t). Factor y(v).
-v*(v + 2)*(v + 4)*(v + 40)
Find o such that -186/11*o**2 - 36/11*o**3 - 376/11*o - 24 - 2/11*o**4 = 0.
-11, -3, -2
Let y(w) = -15*w**3 - 30*w**2 + 35*w - 10. Suppose 3*g + 13 = 6*q - 4*q, 0 = -q + 5*g + 24. Let t(k) = -k**3 - k + 1. Let d(p) = q*y(p) + 20*t(p). Factor d(h).
-5*(h - 3)*(h - 2)*(h - 1)
Let k(f) be the second derivative of -f**6/6 - 117*f**5/2 - 67265*f**4/12 + 23010*f**3 - 34810*f**2 + 1173*f. Factor k(o).
-5*(o - 1)**2*(o + 118)**2
Suppose 2950 = -2*x - 4*r, x = -5*r - 1267 - 196. Let t = 7433/5 + x. Solve -40 + 24*s - t*s**2 = 0 for s.
10/3
Suppose 4*i = q - 2318 + 2329, 0 = 10*i + 5*q - 35. Factor 0*f - 2/19*f**2 + 0 - 2/19*f**i.
-2*f**2*(f + 1)/19
Let a(p) = -p**2 + p + 15. Let u(z) = 2*z**3 + 3443*z**2 + 1969969*z + 376264959. Let i(c) = -5*a(c) - u(c). Factor i(y).
-2*(y + 573)**3
Suppose -1033*j = -1775 - 1210 + 998 - 1112. Factor -22/19*w**j + 2/19*w**4 + 0 + 20/19*w**2 + 0*w.
2*w**2*(w - 10)*(w - 1)/19
Suppose -23/8*w - 1/8*w**2 - 11/4 = 0. Calculate w.
-22, -1
Let h(y) be the first derivative of y**7/168 - 7*y**6/60 - 38*y - 105. Let f(p) be the first derivative of h(