 -140). Let r be (2737/z)/23 - (-2)/(-14). Suppose 0 - r*x**4 - 2*x**2 - 2/3*x - 2*x**3 = 0. What is x?
-1, 0
Let c(r) be the third derivative of 0*r + 189*r**2 + 0 - 21/2*r**5 - 205/6*r**3 + 155/6*r**4 + 11/6*r**6 - 1/42*r**7. Solve c(t) = 0.
1, 41
Let a(r) be the first derivative of -56 + 2/19*r**2 + 0*r + 1/57*r**6 - 2/19*r**5 + 9/38*r**4 - 14/57*r**3. What is b in a(b) = 0?
0, 1, 2
Let z = 207 - 148. What is v in -z*v + 27*v**2 + 29*v + 2 + 0*v + 1 = 0?
1/9, 1
Let m(b) be the first derivative of b**5/5 - 43*b**4/4 + 206*b**3 - 1584*b**2 + 2592*b - 352. Solve m(k) = 0 for k.
1, 12, 18
Let d be (20 - -5 - 3)*(-140)/(-770). Factor -20/3 - 1/3*c**2 + d*c.
-(c - 10)*(c - 2)/3
Let b(s) be the first derivative of -3/25*s**5 + 0*s + 4/5*s**3 - 12/5*s**2 - 1/10*s**6 + 9/10*s**4 + 124. Solve b(t) = 0 for t.
-2, 0, 1, 2
Factor -67081/4 - 1/4*i**2 + 259/2*i.
-(i - 259)**2/4
Let t be (-1)/12*(-8910)/297 - (-1 + 82/28). Factor -g**3 + 1/7*g**5 + 0*g - t*g**2 + 0 - 2/7*g**4.
g**2*(g - 4)*(g + 1)**2/7
Let i(z) be the second derivative of 0 + 47*z - 1/30*z**4 + 1/5*z**3 + 2*z**2. What is h in i(h) = 0?
-2, 5
Let k(m) be the first derivative of m**3 + 51*m**2 + 192*m - 3381. Factor k(i).
3*(i + 2)*(i + 32)
Let c(g) = 5*g**4 + 140*g**3 - 445*g**2 - 5*g - 5. Let n(o) = -5*o**4 - 141*o**3 + 444*o**2 + 6*o + 6. Let m(d) = 6*c(d) + 5*n(d). Let m(j) = 0. What is j?
-30, 0, 3
Find t such that 6962 - 706/9*t**2 + 20650/3*t + 2/9*t**3 = 0.
-1, 177
Suppose 33*o - 54*o + 843381 = 0. What is w in 2*w**5 - o - 2*w**4 + 40161 = 0?
0, 1
Let b(g) = -2*g**4 + 15*g**3 + 66*g**2 + 94*g + 33. Let c(w) = 7*w**4 - 45*w**3 - 201*w**2 - 279*w - 98. Let n(x) = -8*b(x) - 3*c(x). Factor n(p).
-5*(p - 6)*(p + 1)**3
Let d = 125/651 - -4583/3255. Factor -d*g**2 + 1/5*g**3 + 0 + 0*g.
g**2*(g - 8)/5
Suppose -5*t + 190 = -210. Factor 25*s + t - 58*s + 153*s + 45*s**2 + 5*s**3.
5*(s + 1)*(s + 4)**2
Suppose 25*j**3 - 26*j - 6*j**4 + j**5 + 46 - 30 - 5*j**4 - 1145*j**2 + 1140*j**2 = 0. What is j?
-1, 1, 2, 8
Let k be 20/(-36)*(60/(-125))/((-3)/60*-16). Factor -5/3 - 16/3*h - 8/3*h**3 - k*h**4 - 6*h**2.
-(h + 1)**3*(h + 5)/3
Let w(t) be the first derivative of -t**6/6 - 36*t**5/5 - 143*t**4/2 + 228*t**3 - 361*t**2/2 + 1153. Factor w(j).
-j*(j - 1)**2*(j + 19)**2
Let u(x) be the third derivative of -1/132*x**4 + 0*x**7 + 1/330*x**6 + 0 + 0*x**3 - 1/1848*x**8 + 0*x + 0*x**5 - 160*x**2. Solve u(i) = 0 for i.
-1, 0, 1
Suppose 0 = -325*m + 2120*m. Factor 4/9*f**2 + 2/3*f**4 + m*f + 10/9*f**3 + 0.
2*f**2*(f + 1)*(3*f + 2)/9
Let u(c) = 12*c**3 - 3257*c**2 - 21*c. Let y(b) = 26*b**3 - 6519*b**2 - 45*b. Let x(l) = 15*u(l) - 7*y(l). Suppose x(w) = 0. What is w?
-1611, 0
Let b be 1737/117 - 4/(-26)*1. Suppose -62*c = -65*c + b. Factor t**c - t**2 - 4*t**2 + 7*t**2 - 2*t**4 - t**3.
t**2*(t - 2)*(t - 1)*(t + 1)
Let j(w) be the first derivative of -w**9/7560 + 2*w**7/525 - 4*w**5/75 + 5*w**3/3 + 6*w + 66. Let g(x) be the third derivative of j(x). Solve g(f) = 0 for f.
-2, 0, 2
Factor 0*s + 54/5*s**4 + 0 - 96/5*s**2 - 858/5*s**3.
6*s**2*(s - 16)*(9*s + 1)/5
Let -350*i**2 + 7688 - 2187720*i**3 + 110*i**2 + 3348*i + 2187724*i**3 = 0. What is i?
-2, 31
Let a(h) be the first derivative of -32*h**3 + 11*h**4 - 72*h**2 + 0*h - 4/5*h**5 - 86. Find m such that a(m) = 0.
-1, 0, 6
Let n(r) = 2*r**2 - 5*r - 1. Let f(d) = -13*d**2 + 262*d - 13450. Let j(i) = -f(i) - 6*n(i). Factor j(o).
(o - 116)**2
Factor -338 + 1/9*i**4 + 1597/9*i**2 - 79/9*i**3 - 455/3*i.
(i - 39)**2*(i - 2)*(i + 1)/9
Suppose 0 = -3*j + 2*l + 531, 5*j + 2*l - 186 = 699. Factor 6728 - 1187*c**2 - 55*c + 1189*c**2 - j*c.
2*(c - 58)**2
Let l(b) be the second derivative of b**7/1365 + 3*b**6/260 + 4*b**5/195 - 121*b**2/2 + 29*b. Let m(f) be the first derivative of l(f). Factor m(v).
2*v**2*(v + 1)*(v + 8)/13
Factor 266*k + 382*k + 77*k**3 - 1986 - 74*k**3 - 930 + 99*k**2.
3*(k - 3)*(k + 18)**2
Suppose -2785*i = -3004*i + 438. Factor -32/3*k + 2/3*k**5 - 14/3*k**4 + 32/3 + 32/3*k**3 - 16/3*k**i.
2*(k - 2)**4*(k + 1)/3
Let p(d) be the first derivative of 34 + 1/4*d**4 - d**3 - 1/2*d**2 + 3*d. Factor p(n).
(n - 3)*(n - 1)*(n + 1)
Let o(f) be the first derivative of f**3/9 + 7*f**2/3 + 8*f + 557. Determine p so that o(p) = 0.
-12, -2
Let c(p) be the third derivative of p**7/1050 - 7*p**6/24 + 1261*p**5/50 + 1012*p**4/15 - 7744*p**3/15 + 115*p**2 - 2. Find k such that c(k) = 0.
-2, 1, 88
Let f be ((-95580)/41300)/((-2)/(-9)*-1 + (-20)/(-100)). Factor 54/7*n - 1/7*n**2 - f.
-(n - 27)**2/7
Let k(v) = -62 - 44*v + 7*v - 151 - 267. Let i be k(-13). Factor -1/2*w**2 + i + 1/2*w.
-(w - 2)*(w + 1)/2
Suppose 4*u - 2*z + 2 = 0, -34 = z - 43. Factor 0*h + 0*h**2 - 2*h**u + 0 + 1/2*h**3.
-h**3*(4*h - 1)/2
Determine a, given that -135 + 3/4*a**2 - 537/4*a = 0.
-1, 180
Let o(s) be the second derivative of s**7/49 - 26*s**6/105 + 6*s**5/7 + s**4/3 - 37*s**3/7 - 36*s**2/7 + 165*s + 5. Let o(c) = 0. What is c?
-1, -1/3, 3, 4
Suppose -414 = -78*j + 9*j. Let t(h) be the second derivative of 1/6*h**j + 0 + h**5 + 5/6*h**4 - 15/2*h**2 - 4*h - 10/3*h**3. Solve t(r) = 0 for r.
-3, -1, 1
Let p = 1739 - 3998. Let o = p - -2261. What is r in -36/7*r - 2/7*r**o - 162/7 = 0?
-9
Let v(z) be the third derivative of -z**7/210 - z**6/5 - 11*z**5/4 - 131*z**4/12 - 20*z**3 + 36*z**2 + 9. Factor v(p).
-(p + 1)**2*(p + 10)*(p + 12)
Let y be 244/61 + 6 + 0. Let f(d) = -2*d**3 + 22*d**2 - 21*d + 14. Let h be f(y). Factor 2/9*l**2 + 0 + 4/9*l - 4/9*l**3 - 2/9*l**h.
-2*l*(l - 1)*(l + 1)*(l + 2)/9
Let x be (-14 + 2)*5/(5/6). Let z = x + 74. Solve 28*l - 147 - 9*l - 3*l**z + 23*l = 0.
7
Let m be (-6)/8*(-32)/12. Solve 756*h - 261 - 665 - 133*h**m + 70 + 43*h**2 - 320 + 3*h**3 = 0.
2, 14
Let q(g) be the second derivative of g**5/80 + 31*g**4/48 + 103*g**3/12 + 22*g**2 + 3278*g. Suppose q(s) = 0. What is s?
-22, -8, -1
Let i be (278/(-4309))/(1/(-31)). Let x = 15 + -12. Solve -15*z**i + 10/3*z + 0 + 20/3*z**x = 0.
0, 1/4, 2
Let p = -2/639 + 1493/639. Find x, given that p*x**4 + x**5 + 0*x + 0 - 2*x**3 + 0*x**2 = 0.
-3, 0, 2/3
Let y(n) = -1375*n**3 + 3*n**2 - n - 3. Let q be y(1). Let h = q + 1380. Solve -10/9*w**5 + 0 + 14/9*w**3 - 4/9*w - 2/3*w**h + 2/3*w**2 = 0.
-1, 0, 2/5, 1
Let w(m) be the first derivative of -m**5/35 + 12*m**4/7 - 832*m**3/21 + 3072*m**2/7 - 16384*m/7 - 1512. Find y, given that w(y) = 0.
8, 16
Let r be -4 + -2 - (-78663)/9373. Let l = -11/103 + r. Find a, given that 0*a**4 + 80/7*a**2 - 60/7*a + l - 40/7*a**3 + 4/7*a**5 = 0.
-4, 1
Suppose -2/13*h**2 - 12/13 - 10/13*h = 0. What is h?
-3, -2
Factor 10/17*k**4 + 0*k**2 + 0 + 0*k - 2/17*k**3 - 8/17*k**5.
-2*k**3*(k - 1)*(4*k - 1)/17
Let l(z) be the first derivative of -5/24*z**6 + 0*z + 28 - 5/2*z**5 - 10*z**4 + 0*z**2 - 40/3*z**3. Let l(q) = 0. What is q?
-4, -2, 0
Suppose 5*p = 3*p + 22. Let v be -12 + 22*4/2. Factor -8 + 12*c - v*c**3 + p*c**3 + 17*c**3.
-4*(c - 1)**2*(c + 2)
Let w(n) be the second derivative of n**5/70 + 167*n**4/28 - n**3/21 - 501*n**2/14 - 130*n + 6. Find j such that w(j) = 0.
-501/2, -1, 1
Suppose -3*g + 5*j = 7, -20 = -7*j + 3*j. Factor -g*t**2 - 3*t**2 + 412*t + 45 - 3*t**3 - 205*t - 168*t.
-3*(t - 3)*(t + 1)*(t + 5)
Suppose 2*z - 2 = 4*a, a + 274*z - 273*z = 1. Let m(r) be the third derivative of 0*r + 0*r**4 - 1/180*r**6 + a + 4/9*r**3 - 14*r**2 - 1/30*r**5. Factor m(u).
-2*(u - 1)*(u + 2)**2/3
Let w(b) = b**3 + 3*b**2 - 11*b. Let z be w(-5). Suppose -4*t - 3*a = -7*t + 6, 3*t - 14 = -z*a. Solve 2*x - 3*x**t + 742*x**4 + 2*x**5 - x**3 - 742*x**4 = 0.
-1, 0, 1
Let x(v) be the second derivative of -v**4/66 + v**3/3 + 432*v**2/11 - 23*v - 130. Factor x(o).
-2*(o - 27)*(o + 16)/11
Let w = 65 + -56. Suppose -5*s - 3*a = -59, w = -0*a + 3*a. Factor 3*u**2 - 7*u**3 - 4 + 6*u**2 + 15*u + s - 3*u**4 + 4*u**3.
-3*(u - 2)*(u + 1)**3
Let p(l) be the second derivative of -1/16*l**4 + 1 - 5*l**3 + 3/2*l**5 + 44*l + 0*l**2 + 1/40*l**6. Factor p(c).
3*c*(c - 1)*(c + 1)*(c + 40)/4
Suppose 4*m - 2 = -o + m, 11 = 3*o + 4*m. Find h such that o*h**2 - h**3 + 4*h - 16*h + 8*h**2 + 0*h = 0.
0, 1, 12
Suppose 3*x - x + 35 = d, 2*d - 35 = -3*x. Suppose -26*s + 3 = -d*s. Factor 17 + 0*g - 5*g**3 - 8*g**2 - 17 - s*g.
-g*(g + 1)*(5*g + 3)
Let a(g) = -g**2 + 5*g + 11. Let x be a(6). Suppose 6 = 3*d, -3*d + 152 = x*o - 2*d. Find l,