/d)/(4525/(-1120) + 4). Determine c, given that 16/3 - 4/3*c**2 - 16/3*c**3 + a*c = 0.
-2, -1/4, 2
Let l(d) = 6*d**2 - 3*d + 2. Let w be l(4). Let h be 4/18 + w/18. Suppose -5*x**4 + 5*x**4 - 10*x**2 - 1030*x**3 - h*x**5 + 1045*x**3 = 0. What is x?
-2, 0, 1
Let v(q) = 2*q**3 - 27*q**2 - 32*q - 23. Let m(j) = -3*j + 2. Let f(o) = 4*m(o) + v(o). Let f(p) = 0. Calculate p.
-1, -1/2, 15
Let r(l) = -l**3 + l - 2. Let x = -223 - -217. Let n(k) = 10*k**3 - 68*k**2 - 6*k + 12. Let g(q) = x*r(q) - n(q). Solve g(i) = 0.
0, 17
Let x(w) be the second derivative of 0 + 11/12*w**4 + 0*w**5 + 3*w**3 - 1/30*w**6 - 173*w + 4*w**2. Factor x(p).
-(p - 4)*(p + 1)**2*(p + 2)
Let s be ((-14)/(-18))/((-3402)/273 + 12). Let i = s - -50/27. Factor 1/6 - i*y**2 + 1/6*y**3 - 1/6*y.
(y - 1)**2*(y + 1)/6
Let p be 11*(-8343)/(-22660) + (1/(-20))/1. Solve 0 + 56/9*w**2 - 2/3*w + 16*w**p - 32/9*w**5 - 18*w**3 = 0.
0, 1/4, 1, 3
Let h(t) = 4*t**4 + 42*t**3 - 58*t**2 - 94*t + 4. Let j(n) = -32*n**4 - 335*n**3 + 465*n**2 + 751*n - 34. Let c(b) = 17*h(b) + 2*j(b). Factor c(m).
4*m*(m - 2)*(m + 1)*(m + 12)
Let s be (-9 + (-244)/(-28))/((-5)/35). Let q(b) be the first derivative of -1/2*b**4 - 4/3*b**3 + 19 + 16*b + 4*b**s. Factor q(d).
-2*(d - 2)*(d + 2)**2
Let g be 4/(-5 + (-12)/(-2)). Suppose g*c + 2 = -3*n, 5*c = 4*n + 2*c - 14. Solve -26/9*j**3 + 8/9*j**4 + 2/9 + 10/3*j**n - 14/9*j = 0.
1/4, 1
Let -71/3*m - 1/3*m**2 - 46 = 0. What is m?
-69, -2
Suppose 3*r - 4*r = z + 202, 3*r - 843 = 4*z. Let c = z + 209. Factor -1/3*o**4 + 36*o + 4*o**3 - 27 - 18*o**c.
-(o - 3)**4/3
Suppose r - 3*t + 7*t - 32 = 0, 0 = r + 2*t - 40. Let o = -40 + r. Factor -5*a - 5*a**2 - 8*a - 3*a**3 - 3 - o*a**2.
-(a + 1)*(a + 3)*(3*a + 1)
Let n = 622249/5 - 124448. Solve -9/5*c**2 + n*c**4 + 3/5*c**5 + 0 + 0*c - 3/5*c**3 = 0 for c.
-3, -1, 0, 1
Let x(h) be the second derivative of -h**6/10 - 3*h**5/4 + 6*h**4 + 3032*h. Suppose x(r) = 0. Calculate r.
-8, 0, 3
Let i(x) be the second derivative of 49*x**6/24 + 1183*x**5/4 + 144485*x**4/12 + 13520*x**3 + 5760*x**2 + 3901*x. Factor i(d).
5*(d + 48)**2*(7*d + 2)**2/4
Suppose 1936*x**2 - 125248/7*x + 34656/7 + 976/7*x**3 + 2*x**4 = 0. Calculate x.
-38, 2/7, 6
Let x(c) be the second derivative of 0 + 5*c**3 - 1/6*c**4 + 109*c - 14*c**2. Let x(o) = 0. What is o?
1, 14
Let g(h) be the third derivative of h**5/360 - 7*h**4/48 - 1010*h**2 + 4. Solve g(s) = 0.
0, 21
Let z(c) = 107*c**2 - 11*c + 18. Let s be z(2). Let g = s + -422. Factor 0 - 2/9*h + 4/9*h**g - 4/9*h**4 + 2/9*h**5 + 0*h**3.
2*h*(h - 1)**3*(h + 1)/9
Let d be -1*4/(-16)*-10*-4. Suppose 8*w - d = 6. Factor 0*q**2 + 13*q + q**w - 8*q + 6.
(q + 2)*(q + 3)
Let y = 487 - 489. Let c be ((-666)/(-148))/(y/(4/(-3))). What is w in 0*w**2 - 1/2 - 3/4*w + 1/4*w**c = 0?
-1, 2
Let o(l) be the second derivative of -77/150*l**6 - 17/60*l**4 - 43/50*l**5 + 2/5*l**2 + 8/15*l**3 + 131*l - 2/21*l**7 + 0. Determine b, given that o(b) = 0.
-2, -1, -1/4, 2/5
Let i = -455 - -459. Suppose -4*j + 31*h = 29*h - 8, i*h = 5*j - 16. Determine c, given that -1/2*c + 3/4*c**2 + 5/4*c**3 + j = 0.
-1, 0, 2/5
Let u(y) = y**2 + 5*y + 16. Let t be u(-8). Suppose 24*z = 8 + t. Factor 2/7*r**z - 4/7*r + 0 + 2/7*r**3.
2*r*(r - 1)*(r + 2)/7
Suppose -44*t - 59/4 + 1/4*t**4 - 14*t**3 - 87/2*t**2 = 0. Calculate t.
-1, 59
Suppose 76*m - 348 = -11*m. Let z(q) be the second derivative of 13*q + 2/13*q**2 + 1/13*q**3 + 1/78*q**m + 0. Factor z(n).
2*(n + 1)*(n + 2)/13
Let k(i) be the second derivative of i**4/18 - 4*i**3/9 - 20*i**2 + 1329*i. Factor k(y).
2*(y - 10)*(y + 6)/3
Let h(k) be the second derivative of -k**4/12 - 163*k**3/3 + 328*k**2 + 8699*k. Find p such that h(p) = 0.
-328, 2
Let t be 4076/(-728) + -12 + 8. Let j = t - -143/14. Solve 14/13*y**3 + 10/13*y**4 - 16/13*y - 2/13*y**2 + 2/13*y**5 - j = 0.
-2, -1, 1
Let d(w) = w**3 - 261*w**2 - 1191*w + 1462. Let l(o) = 52*o**2 + 238*o - 292. Let y(a) = -4*d(a) - 22*l(a). Find t, given that y(t) = 0.
-18, -8, 1
Let d = -4193 + 4196. Suppose -n + 16 = 2*h + h, 3*n + 12 = h. Solve 6*z**2 + 7*z**d + h*z**2 + 8*z**3 - 19*z**3 - 8*z = 0.
0, 1, 2
Factor v**2 + 2134*v**3 - 4225*v**3 + v**4 + 37*v**2 - 40*v + 2080*v**3.
v*(v - 5)*(v - 4)*(v - 2)
Let x = -18931379/8372 - -126639/56. Let r = 3/184 + x. Let -14/13*v**4 + r*v**2 + 8/13*v**5 + 0*v + 0 + 4/13*v**3 = 0. What is v?
-1/4, 0, 1
Let b = 433818 + -433818. What is u in -5/2*u**2 + b + 4*u + 1/4*u**3 = 0?
0, 2, 8
Let r(f) = 6*f + 276. Let i be r(-42). Let w be 344/42 + (i/(-56))/(-3). Solve 20/3*k - w + 5/3*k**2 = 0.
-5, 1
Let a(z) be the third derivative of -1/30*z**7 + 5/3*z**3 + 23/20*z**5 - 19/120*z**6 + 0 - 53/24*z**4 + 82*z**2 + 0*z. Solve a(l) = 0.
-5, 2/7, 1
Let n(f) be the third derivative of -1/3360*f**8 - 1/60*f**3 + 1/300*f**5 - 1/240*f**4 + 0*f - 69*f**2 + 0 + 1/600*f**6 - 1/2100*f**7. Factor n(w).
-(w - 1)**2*(w + 1)**3/10
Let q(k) be the third derivative of -k**8/1344 + k**7/56 - 19*k**6/480 - 29*k**5/80 - 13*k**4/24 + 1637*k**2. Solve q(v) = 0.
-1, 0, 4, 13
Let i(d) be the first derivative of d**6/1380 - 13*d**5/690 + d**4/12 - 11*d**3/69 - d**2 - 8*d - 37. Let w(l) be the second derivative of i(l). Factor w(o).
2*(o - 11)*(o - 1)**2/23
Let q be (-2)/4*432/(-648). Let n(w) be the first derivative of 0*w**2 - q*w**3 - 1/12*w**4 + 0*w - 15. Determine v, given that n(v) = 0.
-3, 0
Find d, given that -4/3*d**4 - 29952 + 352/3*d**3 - 3380*d**2 + 33216*d = 0.
1, 24, 39
Let l be 1098/4392*((-21)/(-9) + -1). Factor 0*q + 0 + 0*q**2 - l*q**5 - 2/3*q**4 + 0*q**3.
-q**4*(q + 2)/3
Suppose 3*r - 5*f = 11, 0 = -4*r + 4*f - 1 + 13. Factor -r - 9*i**4 - 4*i + 4*i**3 + 5*i**4 + 6*i**4.
2*(i - 1)*(i + 1)**3
Let w = 137957/96 - 1437. Let i(k) be the second derivative of -w*k**4 + 0 - 1/16*k**3 + 1/8*k**2 - 7*k. Factor i(m).
-(m + 1)*(5*m - 2)/8
Let w(x) = -2*x**3 + 2*x**2 + 7. Suppose -24 = 6*s + 2*s. Let h be w(s). Suppose -h*g + 5*g**4 + 5*g**3 + 79*g = 0. Calculate g.
-1, 0
Let f = 84/23 + -5521/1518. Let r(t) be the second derivative of -1/33*t**3 + 4*t + 0 - f*t**4 + 6/11*t**2. Solve r(p) = 0.
-3, 2
Let s(c) = c**3 - 42*c**2 - 150*c + 677. Let j be s(45). Factor 2/13*o**j + 12/13 - 10/13*o.
2*(o - 3)*(o - 2)/13
Factor r**3 + 76*r + 9 - 2*r**3 - r**4 - 71*r - 13 + 3*r**2 + 6.
-(r - 2)*(r + 1)**3
Suppose 30*x + 3275 = 161*x. Let u(y) be the second derivative of -x*y + 1/48*y**4 + 1/4*y**3 + 0 + 0*y**2. Factor u(b).
b*(b + 6)/4
Let u be (20/(-375))/(31/(-465)). Let z = 5 - 2. Let 0*v + 0 + u*v**2 + 6/5*v**4 + 2*v**z = 0. Calculate v.
-1, -2/3, 0
Factor -159*y**3 + 167*y**3 - 139*y**2 + 125*y**2 - 40*y + 72.
2*(y - 2)**2*(4*y + 9)
Let v(j) be the first derivative of -7*j**6/3 + 116*j**5/5 + 145*j**4/2 - 512*j**3/3 + 60*j**2 + 326. Solve v(m) = 0 for m.
-3, 0, 2/7, 1, 10
Suppose 2*f**2 + 20/3*f - 4*f**3 + 0 + 2/3*f**4 = 0. Calculate f.
-1, 0, 2, 5
Let g = 4452/71 + -17453/284. Solve -14*r - g*r**2 - 9/4*r**5 - 7/4*r**4 + 3 + 65/4*r**3 = 0 for r.
-3, -1, 2/9, 1, 2
Let h = 3104874/266827 + 2/24257. Let z = h - 1130/99. Factor x**2 + 2/9*x**3 + 0 - z*x - x**4.
-x*(x - 1)*(x + 1)*(9*x - 2)/9
Suppose -17755 = 108*t - 18079. Factor 0*b - 3/7*b**4 - 18/7*b**2 - 3*b**t + 0.
-3*b**2*(b + 1)*(b + 6)/7
Let b = 3 - -14. Let s = 19 - b. What is p in p + 7*p + 2*p**s - 9*p**2 + 3*p**2 = 0?
0, 2
Find b, given that -20*b**2 - 3*b**2 + 14*b**2 + 12416*b + 7*b**2 + 19269632 + 4*b**2 = 0.
-3104
Let v(h) be the third derivative of h**6/24 - 49*h**5/6 - 125*h**4/3 - 9*h**2 - 76*h - 1. Factor v(c).
5*c*(c - 100)*(c + 2)
Factor 2 - 4*g + 1/2*g**2 - 1/2*g**5 + 5/2*g**3 - 1/2*g**4.
-(g - 1)**3*(g + 2)**2/2
Let q(u) be the third derivative of -u**7/840 + 11*u**6/240 + 3*u**5/4 - 189*u**4/4 - 3870*u**2. Determine w, given that q(w) = 0.
-14, 0, 18
Let k(w) = 4*w**2 - 194*w + 402. Let r(m) = 28*m**2 - 1356*m + 2816. Let s(h) = -36*k(h) + 5*r(h). Factor s(q).
-4*(q - 49)*(q - 2)
Let j(n) = -2*n**2 + 478*n + 7625. Let q be j(254). Factor -2/3*k**3 + 0 + 2/3*k**q - 2/3*k**4 + 0*k + 2/3*k**2.
2*k**2*(k - 1)**2*(k + 1)/3
Let d(f) be the second derivative of f**4/21 - 8*f**3/3 + 150*f**2/7 + 102*f - 6. Factor d(t).
4*(t - 25)*(t - 3)/7
Let n = 368639 + -737275/2. Let s(h) = -h**2 + 8*h + 2. Let q be s(8). Let -3/2*z**3 - n*z + 0 + 1/4*z**4 + 11/4*z**q = 0. Calculate z.
0, 1, 2, 3
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