14/84. Suppose 5*f + c*p - 3*p - 1 = 0, 0 = -2*f + 4*p - 8. Determine k, given that -f*k**3 + 0 - 2/3*k - 2/3*k**4 - 2*k**2 = 0.
-1, 0
Let g(z) = 91*z + 2. Let t be g(0). Let c = -7441/5 + 1497. Let 56/5*j**t + 2/5*j**5 + c*j**3 + 16/5*j**4 + 34/5*j + 8/5 = 0. Calculate j.
-4, -1
Let c = -196 + 1664. Let a = c + -7332/5. Let -2/5*d**2 + a - 11/5*d**3 + 12/5*d - 1/5*d**5 - 6/5*d**4 = 0. Calculate d.
-2, -1, 1
Let r(j) = -j**3 - 67*j**2 - 206*j - 192. Let c = 41 + -43. Let d(w) = -w**3 - 34*w**2 - 104*w - 96. Let l(y) = c*r(y) + 5*d(y). Solve l(p) = 0.
-8, -2
Suppose 0 = 4*n + 32 - 48, 4*c - 2*n = 3608. Determine j so that 338*j**2 - 1424*j + 87 + 113 + c*j = 0.
10/13
Let q(t) be the first derivative of -t**6/240 + t**4/48 - t**2/2 - 20*t + 99. Let w(r) be the second derivative of q(r). Find v, given that w(v) = 0.
-1, 0, 1
Let b(c) = -13*c**2 - 5*c + 36. Let z(i) = -i**2 - i + 1. Let k(g) = b(g) - 6*z(g). Let u(t) = 13*t**2 - 3*t - 58. Let s(o) = -5*k(o) - 3*u(o). Factor s(v).
-4*(v - 3)*(v + 2)
Let o be (99 + -237)*(0 + (-10)/(-4)). Let i = 697/2 + o. Factor -5*p**3 - 12*p**2 - 1/2*p**4 - 11*p - i.
-(p + 1)**3*(p + 7)/2
What is a in 46/3*a**3 + 44/3*a**2 - 94/3*a + 4/3 = 0?
-2, 1/23, 1
Let l = 340811/27 + -12622. Let o(x) be the first derivative of l*x**3 - 14/9*x**2 - 1/12*x**4 + 4/3*x - 8. Factor o(y).
-(y - 3)*(y - 2)*(3*y - 2)/9
Let o be 54/(-21)*32*102/1088*(-21)/27. Factor -4/5*d + 4*d**2 - 37/5*d**3 + 0 + o*d**4 - 9/5*d**5.
-d*(d - 1)**2*(3*d - 2)**2/5
Let o(y) be the third derivative of 3*y**8/112 - y**7 + 333*y**6/40 - 53*y**5/10 - 132*y**4 - 272*y**3 - 1424*y**2. Suppose o(w) = 0. Calculate w.
-1, -2/3, 4, 17
Let s be (2 + -2)/(7 - 8). Factor 3*u**2 - 5 - 1 - 9 + s*u - 9*u + 3.
3*(u - 4)*(u + 1)
Suppose -14*h = -5*q - 87 + 20, 0 = -3*h - 4*q - 11. What is c in 26/9*c**4 + 0 - 8/9*c**2 + 0*c - 8/9*c**h - 10/9*c**5 = 0?
-2/5, 0, 1, 2
Suppose -1249 + 1261 = -3*f. Let x(h) = -h**3 + 2*h**2 - 8*h + 11. Let o(a) = 7 - 3*a + a**2 - 3 + 0*a. Let b(v) = f*x(v) + 11*o(v). Factor b(j).
j*(j + 1)*(4*j - 1)
Let k(o) be the third derivative of -o**8/26880 - o**5/60 - 4*o**3/3 - 3*o**2 + 5. Let y(h) be the third derivative of k(h). Determine w so that y(w) = 0.
0
Let x(y) be the first derivative of -3*y**4 + 436*y**3/3 - 72*y**2 + 3708. Let x(k) = 0. Calculate k.
0, 1/3, 36
Suppose -6*a - 9 + 21 = -11 - 1. Let 4*s**2 - 2/3*s**3 + 0*s + 0 - 2/3*s**a = 0. What is s?
-3, 0, 2
Let p = -84212 + 84214. Factor 15/4*l**p + 1/4*l**4 + 0 + 9/4*l + 7/4*l**3.
l*(l + 1)*(l + 3)**2/4
Let z(m) be the first derivative of -2*m**3/15 - 502*m**2/5 - 126002*m/5 + 197. What is n in z(n) = 0?
-251
Factor 15/8*h**2 - 51/2 - 63*h.
3*(h - 34)*(5*h + 2)/8
Let z(p) be the second derivative of p**6/75 - 181*p**5/25 + 30901*p**4/30 + 22444*p**3 + 172980*p**2 - 80*p + 43. Factor z(h).
2*(h - 186)**2*(h + 5)**2/5
Let -1/2*u**4 - 588*u + 586*u**2 - 145*u**3 + 0 = 0. Calculate u.
-294, 0, 2
Let g(k) = 5*k + 317. Let n be g(-21). Let c = n + -187. Solve 1/2*t**4 + 5/2*t**2 - 4*t**3 + 0 + c*t = 0 for t.
-2, 0, 5
Suppose -540184*f**2 + 414*f**3 + 540626*f**2 + 2*f**5 - 2352*f + 2*f**4 + 52*f**4 + 1440 = 0. Calculate f.
-12, -5, 1
Let c be (16/(-6) - 3/(1 - 19))*456/(-380). Let d = -4 + 6. Determine f, given that 2*f - 14*f**c + 4/3 - 40/3*f**d = 0.
-1, -2/7, 1/3
Let y = 273 + -271. Let b be -8 + (-32)/10*(-20)/8. Solve 5/7*w - 1/7*w**y + b = 0.
0, 5
Let l = -708 - -678. Let v be l/9*3/(-7)*1. Solve 0 - 4/7*o + v*o**2 - 6/7*o**3 = 0 for o.
0, 2/3, 1
Let x = -4985 + 7114. Let c = x + -2129. Factor 3/8*t**3 + c + 3/8*t**4 + 9/8*t - 15/8*t**2.
3*t*(t - 1)**2*(t + 3)/8
Let b(l) = 27*l**2 + 105*l + 693. Let w(s) = 2*s**2 - 2*s + 7. Let x(j) = -b(j) + 15*w(j). Suppose x(o) = 0. What is o?
-4, 49
Suppose 0 = -s - 3, 3 = -2*w - 4*s + 1. Let -126*n**2 + 121*n**2 + 5 - w - 105*n = 0. Calculate n.
-21, 0
Let y = -414 + 416. Let -11 + u**2 + 44*u - 3*u**y + u**2 - 16 - 16 = 0. Calculate u.
1, 43
Let h be ((-9)/(-12)*3)/(((-2565)/24)/(-57)). Factor 2*q**2 - h - 28/5*q.
2*(q - 3)*(5*q + 1)/5
Suppose -5*m - 2*w + 4*w + 373 = 0, 5*w - 380 = -5*m. Solve 10 - m*o + 14 - 37 + 81*o**2 + 7 = 0 for o.
-2/27, 1
Suppose 0 = -4*t + 362 - 350. Factor 8 + 3*h**2 - 13 + 3*h - 7 + 4*h**2 - t*h**3 + 5*h**2.
-3*(h - 4)*(h - 1)*(h + 1)
Let r(g) be the first derivative of 14 + 1/20*g**5 + 2*g**3 + 5/8*g**4 + 4*g**2 + 0*g. Let y(u) be the second derivative of r(u). Solve y(j) = 0 for j.
-4, -1
Let r(a) be the second derivative of -a**7/252 + 959*a**6/180 + 641*a**5/20 + 2887*a**4/36 + 3851*a**3/36 + 321*a**2/4 - 302*a. Factor r(x).
-(x - 963)*(x + 1)**4/6
Let x(c) be the first derivative of c**6/14 + 294*c**5/5 + 350883*c**4/28 - 33712*c**3 + 177504*c**2/7 + 5345. Factor x(k).
3*k*(k - 1)**2*(k + 344)**2/7
Let b(r) be the third derivative of 3*r**8/112 + 142*r**7/5 + 219453*r**6/20 + 1611753*r**5 - 10793861*r**4/8 - 211*r**2 + r. Factor b(y).
3*y*(y + 221)**3*(3*y - 1)
Let b(t) be the first derivative of 2/21*t**3 + 15/2*t**2 - 270 - 53/7*t. What is n in b(n) = 0?
-53, 1/2
Let o(z) be the third derivative of 4/7*z**5 + 0*z + 0*z**3 - 5*z**2 - 29 + 25/21*z**4 + 1/20*z**6 + 1/735*z**7. Factor o(i).
2*i*(i + 1)*(i + 10)**2/7
Let f(u) be the first derivative of 0*u**2 + 0*u + 1/16*u**6 + 9/32*u**4 - 3/10*u**5 + 0*u**3 + 64. Determine h so that f(h) = 0.
0, 1, 3
Let u = 2852 - 2848. Let y(w) be the second derivative of 9*w + 0 - 1/6*w**u + 0*w**2 + 0*w**3. Let y(o) = 0. Calculate o.
0
Let n(v) = -28*v**2 - 36*v - 108. Let m(g) = g**2 - 4*g. Let i(l) = -12*m(l) - n(l). Factor i(b).
4*(b + 3)*(4*b + 9)
Let u = 1220561/56952 + -23/8136. Factor 10/7*r - u - 2/7*r**3 + 2*r**2.
-2*(r - 5)**2*(r + 3)/7
Let b(u) be the first derivative of u**4/22 + 178*u**3/33 - 368*u**2/11 + 744*u/11 - 1914. Let b(i) = 0. Calculate i.
-93, 2
Let t = -27 - -23. Let r be (-3)/(-12) + (-7)/t. Factor -2*p**3 + 27*p**2 - 9*p**2 - 16*p - 2*p**r - 4*p**2.
-2*p*(p - 4)*(p - 2)
Solve -18*u**4 + 6524*u + 8176*u + 3*u**5 + 2535*u**2 - 1275*u**2 - 393*u**3 = 0.
-7, 0, 10
Let o(q) be the first derivative of q**4/30 + 94*q**3/45 + 616*q**2/15 + 968*q/5 + 1064. Solve o(w) = 0 for w.
-22, -3
Suppose f = s - 116, s + 3*s - 236 = 2*f. Let k = f - -130. Factor -39*u**3 - 4*u - 100 + 501*u**2 + 124*u**2 - k*u + 164*u**3.
5*(u + 5)*(5*u - 2)*(5*u + 2)
Let x(b) be the third derivative of b**6/40 + 7*b**5/20 - 9*b**4/4 - 1157*b**2. Factor x(u).
3*u*(u - 2)*(u + 9)
Let y = 583974 + -583974. Factor y*v - 2/5*v**4 + 0 + 38/5*v**2 + 36/5*v**3.
-2*v**2*(v - 19)*(v + 1)/5
Let r(b) be the third derivative of 0*b**4 - b**2 + 2/135*b**6 + 0 + 1/945*b**7 + 0*b**3 - 1/30*b**5 + 59*b. What is u in r(u) = 0?
-9, 0, 1
Let g = -311012 + 933037/3. Factor 7/3*f**2 - 8*f + g*f**3 - 60.
(f - 5)*(f + 6)**2/3
Factor -16/3 + 19/9*g - 1/9*g**2.
-(g - 16)*(g - 3)/9
Let a(f) be the first derivative of -f**6/70 - 9*f**5/70 - 2*f**4/7 + 66*f + 38. Let t(h) be the first derivative of a(h). What is k in t(k) = 0?
-4, -2, 0
Let v be (-2 + 2/(-3))*15390/(-20520). Factor 8*f - 2/9*f**v + 74/9.
-2*(f - 37)*(f + 1)/9
Let h be ((-874)/161)/(-19) - 880/(-105). Solve 40/3*n**2 - 10/3*n**5 - 16/3*n + 0 + 4*n**3 - h*n**4 = 0 for n.
-2, 0, 2/5, 1
Determine h, given that 72*h**2 + 2/7*h**4 - 112*h + 0 - 60/7*h**3 = 0.
0, 2, 14
Let f = -8236/5 - -1650. Let k(b) be the first derivative of f*b**4 + 4/15*b**6 - 6 + 8/5*b**2 + 44/15*b**3 + 34/25*b**5 + 2/5*b. Find y such that k(y) = 0.
-1, -1/4
Let s = -215 - -395. Find y, given that 176*y**3 - s*y + 4*y**5 - 648 - 2*y**4 - 67*y**4 + 5*y**4 + 712*y**2 = 0.
-2, -1, 1, 9
Let t(a) be the second derivative of a**4/24 - 103*a**3/4 - 311*a**2/2 - 15*a + 69. Factor t(u).
(u - 311)*(u + 2)/2
Suppose -7*t - 483 = 266. Let f = 127 + t. Factor -f*g**3 - 441*g**2 - 3*g**4 + 421*g**2 - 2*g**4.
-5*g**2*(g + 2)**2
Let k(r) be the first derivative of -2/27*r**3 + 132 - 9800/9*r - 140/9*r**2. Suppose k(a) = 0. Calculate a.
-70
Let p = 753 - 734. Let -40 + 44*j - p*j**2 + 83*j**2 - 21*j**2 - 25*j**2 - 22*j**2 = 0. Calculate j.
1, 10
Factor 2/3*j**2 + 704/3 - 706/3*j.
2*(j - 352)*(j - 1)/3
Factor -5/3 - 245760*f**2 - 1280*f.
-5*(384*f + 1)**2/3
Let t be (((-39875)/220)/(-145))/(10/4). Find r such that 5/2 + 3/2*r**2 + 9/2*r - t*r**3 = 0.
-1, 5
Let t(z) be the first derivative o