(m).
2*(m - 119)*(m - 2)/11
Let n = 98553 - 98551. Suppose 2*q + 1/2*q**n + 3/2 = 0. Calculate q.
-3, -1
Factor 1/2*x**3 + 23976*x - 69984 - 435/2*x**2.
(x - 216)**2*(x - 3)/2
Let m(z) = -20*z**4 + 33*z**3 - 2*z**2 - 16*z - 8. Let t(q) = 2*q**4 - 3*q**3 + 2*q + 1. Let a(n) = m(n) + 8*t(n). Factor a(g).
-g**2*(g - 2)*(4*g - 1)
Let b(v) be the first derivative of -2*v**3/27 - 64*v**2/9 - 2048*v/9 + 1018. Let b(c) = 0. What is c?
-32
Let j be 25 + (2*-1)/((-26)/65). Suppose 114*v + 10 - j*v**2 - 2*v**3 + 42*v**2 - 42*v + 70 = 0. Calculate v.
-2, 10
Let r(u) be the third derivative of -u**7/1155 + 31*u**6/44 - 463*u**5/330 - 155*u**4/44 + 464*u**3/33 + 31*u**2 - 41. Suppose r(d) = 0. What is d?
-1, 1, 464
Let s = 7561 - 7558. Let a(z) be the second derivative of 0 + 1/6*z**s + 1/6*z**4 + 0*z**2 - 1/15*z**6 - 1/20*z**5 - 36*z. Factor a(i).
-i*(i - 1)*(i + 1)*(2*i + 1)
Let u(b) be the third derivative of -b**5/160 + 2267*b**4/32 - 5139289*b**3/16 - 8*b**2 + 2*b + 158. What is k in u(k) = 0?
2267
Let i(o) be the first derivative of 12*o**5/25 + 29*o**4/10 - 16*o**3/5 - 116*o**2/5 + 4891. Find p such that i(p) = 0.
-29/6, -2, 0, 2
Let r(b) be the second derivative of b**7/252 - b**6/18 + 7*b**5/120 + b**4/4 - 5*b - 68. Solve r(w) = 0 for w.
-1, 0, 2, 9
Let o(g) be the first derivative of -2*g**6/3 + 696*g**5/5 + g**4 - 232*g**3 + 10097. Determine c so that o(c) = 0.
-1, 0, 1, 174
Let y(j) = -8*j**3 - 2*j**2 + 6*j - 5. Let p be y(1). Let w be (642/p + -2)*(-126)/35. Solve 5*f + 5*f**3 - w + 264 - 10*f**2 = 0.
0, 1
Let s(l) be the third derivative of -2*l**7/105 - 67*l**6/10 - 693*l**5 - 9801*l**4/2 + 2531*l**2. Factor s(j).
-4*j*(j + 3)*(j + 99)**2
Let k(y) be the second derivative of y**7/630 - 7*y**6/120 + y**5/6 + 22*y**4/3 + 13*y. Let q(m) be the third derivative of k(m). Factor q(i).
2*(i - 10)*(2*i - 1)
Suppose 64 + 2/3*n**2 + 194/3*n = 0. Calculate n.
-96, -1
Let h be (-2 + 14 + -5 - 4)*73. Let t = 219 - h. Factor -18/5*b + t - 3/5*b**2.
-3*b*(b + 6)/5
Suppose -169 - 951 = 10*v. Let p be (-308)/v - (-6)/(-8). Factor 2/5 - 2/15*b**p + 4/15*b.
-2*(b - 3)*(b + 1)/15
Factor -128*p**2 - 1813*p**3 + 33 - 166*p - 61 + 1823*p**3.
2*(p - 14)*(p + 1)*(5*p + 1)
Let w(y) be the second derivative of -7*y**5/20 + 1061*y**4/3 - 214625*y**3/2 + 91809*y**2 - 430*y + 2. Factor w(n).
-(n - 303)**2*(7*n - 2)
Suppose -71/7*l**2 - l**5 - 9*l**3 + 10*l + 24/7 + 47/7*l**4 = 0. Calculate l.
-1, -2/7, 1, 3, 4
Let w(s) be the second derivative of 5/42*s**7 + 5/12*s**4 + 0*s**3 + 0 + 0*s**2 - 1/4*s**5 - 1/6*s**6 - 38*s. Factor w(f).
5*f**2*(f - 1)**2*(f + 1)
Suppose 4*b + 12 = 0, 12*f + 24 = 14*f - 2*b. Let j(p) be the first derivative of 9/35*p**5 + 0*p**2 - f + 0*p + 11/28*p**4 + 2/21*p**3. Factor j(v).
v**2*(v + 1)*(9*v + 2)/7
Let k = 645 + -643. Find h such that -3160 + 136*h + 2092 - 1642 - h**k - 1914 = 0.
68
Let o be (-5)/((-30)/(-9)) + 3. Let r be 34/4 - 12/(-10)*(-300)/90. Suppose -3/2*s**5 + 0 + r*s**2 - o*s**3 - 9/2*s**4 + 3*s = 0. What is s?
-2, -1, 0, 1
Let m = 318 + -248. Suppose 18 = -26*w + m. Factor n**w + 1/4*n + 0 - 1/4*n**3 - n**4.
-n*(n - 1)*(n + 1)*(4*n + 1)/4
Let h(a) = 47*a**2 + 1080*a + 97189. Let u(s) = 17*s**2 + 360*s + 32396. Let k(z) = 4*h(z) - 11*u(z). Factor k(n).
(n + 180)**2
Suppose -7*o + 504 = 189. Factor -5*d**4 - 4*d + 15*d**3 - 32*d + o*d**2 + 0*d**4 - 99*d.
-5*d*(d - 3)**2*(d + 3)
Let t(w) = w**3 + 4*w**2 - 4*w - 5. Let q be t(-2). Suppose -q*f + 32 = -3*f. Suppose 2*l**3 + 2*l**f - 2*l**2 - 3*l**3 + l**3 = 0. What is l?
-1, 0, 1
Let s be (-35 - (-5312)/144) + 9. Factor -8 - 106/3*x + s*x**3 - 308/9*x**2.
2*(x - 4)*(7*x + 3)**2/9
Solve 323/3*q**3 - 108*q + 1/3*q**5 + 325/3*q**4 + 0 - 325/3*q**2 = 0 for q.
-324, -1, 0, 1
Let j(u) be the second derivative of 0 - 26/3*u**3 + 1/3*u**4 + 9*u + 0*u**2. Determine l, given that j(l) = 0.
0, 13
Let y(c) be the second derivative of 15/8*c**3 - c + 27 - 39/4*c**2 - 1/16*c**4. Find g such that y(g) = 0.
2, 13
Let j(m) be the third derivative of m**5/240 + 911*m**4/96 + 455*m**3/12 + 3*m**2 + 137. Factor j(z).
(z + 1)*(z + 910)/4
Let 392/3 + 2/9*o**4 + 58/3*o**2 + 16/3*o**3 - 1400/9*o = 0. Calculate o.
-14, 1, 3
Suppose -q + 34 = -4*y, -4*y + 1 = -q - 7*y. Suppose 6*u - 10 = q. What is x in x**4 + 3*x**4 - 5*x**2 + 2*x - 5*x**u - 37*x**3 + 41*x**3 = 0?
0, 1, 2
Let x(t) = -14*t**3 + 439*t**2 + 586*t + 119. Let y(p) = p**3 - p**2 - 3*p + 1. Let r(n) = x(n) + 7*y(n). Factor r(g).
-(g - 63)*(g + 1)*(7*g + 2)
Factor -104/3 - 10/3*g + 3*g**2.
(g - 4)*(9*g + 26)/3
Let k(f) be the first derivative of -f**6/2 - 9*f**5/5 + 3*f**4/4 + 11*f**3 + 18*f**2 + 12*f + 2130. Find w, given that k(w) = 0.
-2, -1, 2
Let g(d) = -d**2 - 2*d - 6. Let f(j) = 8*j**2 + 18*j + 51. Let p(u) = -6*f(u) - 51*g(u). Solve p(a) = 0.
0, 2
Let x(i) = 8*i**2 + 347*i + 354. Let u(r) = 44*r**2 + 2081*r + 2122. Let a(s) = 3*u(s) - 17*x(s). What is l in a(l) = 0?
-1, 87
Let s(n) be the second derivative of -3/20*n**5 + 15/2*n**3 + 0 + 3/2*n**4 + 12*n**2 + 102*n. Determine l so that s(l) = 0.
-1, 8
Let u(h) be the second derivative of h**8/2240 - h**7/280 - 3*h**6/80 + 27*h**5/40 + h**4/6 - 3*h + 26. Let x(q) be the third derivative of u(q). Factor x(y).
3*(y - 3)**2*(y + 3)
Let o = -672148/27 - -24898. Let x(k) be the first derivative of -56/9*k**5 + 0*k - 32/27*k**3 + o*k**6 - 15 + 0*k**2 - 52/9*k**4. Factor x(v).
4*v**2*(v - 2)*(7*v + 2)**2/9
Let y(w) be the first derivative of -w**3/12 + 89*w**2/16 - 105*w/4 + 1595. Let y(u) = 0. What is u?
5/2, 42
Let f(j) be the third derivative of j**10/151200 - j**8/2880 + j**7/840 - 13*j**5/20 - 4*j**2 - 10. Let d(v) be the third derivative of f(v). Factor d(z).
z*(z - 2)*(z - 1)*(z + 3)
Let g be (81/70)/((-2)/(-7)) - 4. Let l(x) be the second derivative of 0 - g*x**5 + 1/16*x**4 + 1/120*x**6 + 1/6*x**3 + 3*x - 1/2*x**2. Factor l(y).
(y - 2)**2*(y - 1)*(y + 1)/4
Let j = -238 + 242. Let w be ((-285)/70 + j)*-8. Let -2/7*o**2 + 6/7*o - w = 0. What is o?
1, 2
Let j(l) be the third derivative of 0 + 34*l + 25/12*l**3 - 1/72*l**5 + 2*l**2 - 5/72*l**4. Determine q, given that j(q) = 0.
-5, 3
Let b(n) be the second derivative of 1/84*n**7 - 10*n - 1/24*n**4 + 0*n**3 - 1/40*n**5 + 1/60*n**6 + 0 + 0*n**2. Factor b(r).
r**2*(r - 1)*(r + 1)**2/2
Let z be (-1*3)/(12/16*84/(-63)). Factor -4/5*v**z - 6/5*v**2 + 2/5*v**4 + 8/5 + 8/5*v.
2*(v - 2)**2*(v + 1)**2/5
Factor 2086/5*w + 1/5*w**2 + 1087849/5.
(w + 1043)**2/5
Let q be (-47)/((-1269)/45)*((-6)/75)/((-4)/40). Solve -16/3 + q*o**4 + 20/3*o**3 + 4*o**2 - 20/3*o = 0 for o.
-4, -1, 1
Let j(r) = 9*r**5 - 12*r**4 - 9*r**3 - 6*r - 12. Let o(d) = 8*d**5 - 10*d**4 - 9*d**3 + d**2 - 5*d - 10. Let f(b) = -5*j(b) + 6*o(b). Factor f(c).
3*c**2*(c - 1)**2*(c + 2)
Let r be (4/5)/(-2 + (-204)/(-105)). Let t = -11 - r. Suppose -2*y**t - 4*y + 149*y**2 + 6*y**3 - 173*y**2 + 24 = 0. What is y?
-1, 1, 6
Let z = -45 + 183/4. Let y = 107289 + -429153/4. Factor 3/2 - z*f - y*f**2.
-3*(f - 1)*(f + 2)/4
Let c = 144584 - 144582. What is w in 28/5*w**5 - 28/5*w**3 + 0 + 8/5*w**c - 8/5*w**4 + 0*w = 0?
-1, 0, 2/7, 1
Let q(b) be the second derivative of 3*b**5/20 + 1395*b**4/4 + 242904*b**3 - 730806*b**2 + 3662*b. Factor q(l).
3*(l - 1)*(l + 698)**2
Let h(i) be the second derivative of i**6/6 - 8*i**5 - 245*i**4/4 + 75*i**3 + 1620*i**2 + 2*i - 2167. Solve h(x) = 0.
-3, 2, 36
Factor 252*v + 496 + 1/4*v**3 + 33*v**2.
(v + 4)**2*(v + 124)/4
Let w(r) = -r**3 + 9*r**2 + 10*r + 7. Let x be w(9). Find a, given that -2*a**3 - x*a + 8*a**2 + 30*a + 32*a + 27*a = 0.
0, 2
Find o such that -56*o + 16/11 + 5609/11*o**2 + 6241/11*o**3 = 0.
-1, 4/79
Factor -61*o**2 + 18*o**4 - 32*o**5 + 60*o + 43*o**4 + 65*o**5 - 59*o**3 - 34*o**5.
-o*(o - 60)*(o - 1)**2*(o + 1)
Let d be (14/(-6)*(-39)/(-65))/(791/(-1356)). Find u such that d*u**2 + 2/5*u**3 - 4 + 6/5*u = 0.
-5, -2, 1
Let w(i) be the first derivative of 5*i**3/3 + 75*i**2/2 + 250*i + 1123. Factor w(u).
5*(u + 5)*(u + 10)
Let v(m) be the third derivative of m**7/1890 - 41*m**6/135 + 6886*m**5/135 - 492*m**4 + 1944*m**3 + 17*m**2 - 10*m + 15. Determine b so that v(b) = 0.
2, 162
Let o = 1915 + 113. Factor 10352 + g**3 + 7085 + 1056 + o*g + 78*g**2 - 917.
(g + 26)**3
Suppose -66*x + 436 + 80 = 63*x. Let v(g) be the first derivative of 2/3*g**6 - 3*g*