/5 - 1917*o**2. Let a(s) = 0. What is s?
-3/2, -2/3, 164
Let x(y) be the first derivative of y**4/28 + 13*y**3/21 - 15*y**2/2 + 171*y/7 - 395. Factor x(v).
(v - 3)**2*(v + 19)/7
Let u = -1640 + 3300. Let s = -6605/4 + u. Find f, given that -1 + 23/2*f**3 + f + s*f**2 + 23/4*f**4 + f**5 = 0.
-2, -1, 1/4
Let s(c) be the third derivative of 32/9*c**4 + 0*c - 128/9*c**3 - 8/15*c**5 + 2/45*c**6 + 82*c**2 - 1/630*c**7 + 0. Factor s(z).
-(z - 4)**4/3
Factor -11149*l**2 - 3*l**4 - 210*l**3 + 3949*l**2 + 8*l**4 + 5*l**4 - 47520*l - 5*l**4.
5*l*(l - 66)*(l + 12)**2
Solve 596*w**4 + 252*w**2 - 3*w**5 + 9718*w - 64*w**2 - 9*w**5 - 9526*w - 964*w**3 = 0.
-1/3, 0, 1, 48
Suppose 4*b = 3*x - 1, 10*x = b + 131 - 103. Factor -7/2*h + 49/4 + 1/4*h**b.
(h - 7)**2/4
What is h in 59 + 191 + 70*h**4 + 93*h**3 - 725*h - 6*h**5 + 760*h**2 - 301*h**3 + h**5 - 142*h**3 = 0?
1, 2, 5
Let k = 1/225741 + 75245/451482. Let 0 - 1/6*q**3 - k*q - 1/3*q**2 = 0. Calculate q.
-1, 0
Solve -356*p**4 - 1/4*p**5 - 190104*p**3 - 4015503424*p + 0 - 45118016*p**2 = 0.
-356, 0
Let t(f) be the second derivative of 10*f + 1/20*f**5 + 0 + 0*f**3 + 0*f**2 + 3/2*f**4. Factor t(c).
c**2*(c + 18)
Let j = 5938169/145 - 40954. Let v = -9/29 - j. Factor 0*d + v*d**3 + 16/5*d**2 + 0.
4*d**2*(d + 4)/5
Solve 35/3*a - 1/3*a**2 - 100 = 0 for a.
15, 20
Factor 0*s + 0 - 2/9*s**3 - 80/9*s**2.
-2*s**2*(s + 40)/9
Let k be ((-153)/(-544))/(1*(-11)/(-44)). Find r such that -k*r**2 - 6 - 3*r**3 + 3/8*r**4 + 39/4*r = 0.
-2, 1, 8
Suppose 1157*r - 1154*r - 3*q + 24 = 0, 32 = r + 4*q. Let t(c) be the second derivative of -9/14*c**5 - 7*c - 4/21*c**3 + r + 0*c**2 - 2/3*c**4. Factor t(k).
-2*k*(5*k + 2)*(9*k + 2)/7
Let g(x) = -4*x**3 + 61*x**2 + 626*x + 534. Let z(m) = -m**3 + 15*m**2 + 157*m + 135. Let c(s) = 4*g(s) - 18*z(s). Factor c(f).
2*(f - 21)*(f + 1)*(f + 7)
Let d = 500 + -46. Let p = d + -451. Factor 0 - 2/11*l**p - 2/11*l**4 + 0*l**2 + 0*l.
-2*l**3*(l + 1)/11
Determine c, given that 1374/5*c + 693/5*c**2 - 24/5 = 0.
-2, 4/231
Suppose 2*m + 2*z + 4 = 3*m, -5*m - 5*z = 10. Suppose 23*k + k = m. Let k + 0*p + 2/5*p**3 + 0*p**2 = 0. What is p?
0
Let p(z) be the third derivative of z**5/90 - 581*z**4/6 + 337561*z**3 + 4101*z**2. Suppose p(u) = 0. Calculate u.
1743
Let p = 1/449479 - -898941/7641143. Solve 60/17 - 2/17*j**2 + p*j = 0 for j.
-5, 6
Let h(a) = -a**2 - a + 3. Let l be h(0). Suppose -25*x + 104*x**2 + 5*x**l - 39*x + 0*x**4 + 7*x**4 - 49*x**3 - 3*x**4 = 0. Calculate x.
0, 1, 2, 8
Let z = -600311 + 600313. Let s be (6/18)/((-4)/(-15)). Find u, given that 0 + 1/4*u**5 - 1/4*u**4 + s*u**z - 3/4*u**3 - 1/2*u = 0.
-2, 0, 1
Let g be -2*1/5*((-2379)/(-429) + -6). Factor 2/11*y**3 - g*y**4 + 2/11*y**2 + 0 - 2/11*y.
-2*y*(y - 1)**2*(y + 1)/11
Let m be -2*3 + 480/78 - (-126)/26. Let q(z) be the second derivative of 0 - 1/2*z**3 + 0*z**2 + 3/20*z**m - 17*z + 0*z**4. Determine n so that q(n) = 0.
-1, 0, 1
Let z(x) = x**2 + 3*x - 126. Let d(u) = -u**2 - u + 126. Let q(k) = -6*d(k) - 7*z(k). Factor q(h).
-(h - 6)*(h + 21)
Let l be 1/((-3)/(-90)*3). Let d be 4/l + 161/35. Determine z, given that -2 - 6*z**2 + 12*z**2 + 6 - 4*z - d*z**2 = 0.
2
Factor 154*s - 1/4*s**3 + 316 + 71/4*s**2.
-(s - 79)*(s + 4)**2/4
Let 1384 + 776 + 2430*u**2 - 4867*u**2 + 96*u - 326*u + 2432*u**2 = 0. Calculate u.
-54, 8
Let f(m) be the third derivative of m**8/840 + 34*m**7/525 + 3*m**6/10 - 2*m**5/3 - 211*m**4/60 + 62*m**3/5 + 2*m**2 + 6748. Find s such that f(s) = 0.
-31, -3, -2, 1
Suppose -12 = 3*m + 21. Let d = m - -35. What is h in h**3 + d*h**5 + 5*h**3 - 13*h**4 - 2*h**3 - 9*h**4 = 0?
0, 1/4, 2/3
Suppose 6*b - 68 = -50. Suppose -3 + 10*c**3 - 17 - 369*c**2 + 8*c**3 - 176*c + 63*c**b = 0. What is c?
-2/9, 5
Let x(l) = 14*l**2 + 6*l + 1. Let t be x(7). Let d = 732 - t. Factor d + 2*i + 1/3*i**2.
(i + 3)**2/3
Let i = 89378 - 89375. Factor -2/5*z**i - 14/5*z**2 - 18/5 - 6*z.
-2*(z + 1)*(z + 3)**2/5
Factor 45144294/17*l + 2/17*l**3 + 16458/17*l**2 + 41276932814/17.
2*(l + 2743)**3/17
Factor 9*y**2 + 64*y + y**2 - 6*y**2 - 211*y - 317*y.
4*y*(y - 116)
Let b(y) = 16 - y**3 - 65*y + 4*y**2 + 78*y + 5*y**2. Let q be b(10). Solve 20*r**2 + 19*r + 12 - 3*r**3 + 0*r**2 - 2*r**2 - q*r = 0 for r.
1, 4
Let u(q) be the first derivative of q**7/14 - 33*q**6/10 - 108*q + 95. Let p(c) be the first derivative of u(c). Let p(l) = 0. What is l?
0, 33
Let c(u) be the first derivative of -5*u**3/3 - 320*u**2 - 635*u - 1884. Find b such that c(b) = 0.
-127, -1
Let g(v) be the third derivative of v**5/210 - 29*v**4/42 + 19*v**3/7 - 2289*v**2. Factor g(x).
2*(x - 57)*(x - 1)/7
Let n(s) be the first derivative of s**4/2 - 49*s**3/2 - 10*s**2 + 111*s/2 + 38. Factor n(j).
(j - 37)*(j + 1)*(4*j - 3)/2
Solve -32/3*t - 4/3*t**4 + 2/3*t**3 + 64/3*t**2 + 0 = 0.
-4, 0, 1/2, 4
Suppose 16*l + 4320 = -4*l. Let n = l - -218. Let 4/9*h + 8/9 - 4/9*h**n = 0. What is h?
-1, 2
Let o be (1 - 6)*5/(25/(-14)). Let b(g) = 6*g**4 + 3*g**3 - 5*g**2 + 5*g + 7. Let n(t) = t**4 + t**3 + t + 1. Let l(w) = o*n(w) - 2*b(w). Factor l(d).
2*d*(d + 1)**2*(d + 2)
Let x(u) be the third derivative of -u**6/840 + u**5/20 - 45*u**4/56 + 81*u**3/14 - 2*u**2 - 623*u. Determine s so that x(s) = 0.
3, 9
Suppose 8*x + 91 = 123. Suppose x*k - 3*m - 18 = 7, -5*m + 5 = 5*k. Factor -2/7*p**2 + 0 - 4/7*p**3 + 4/7*p + 2/7*p**k.
2*p*(p - 2)*(p - 1)*(p + 1)/7
Suppose 12*b + 1332 = 4356. Let k be 70/8*b/588. Find n such that -3*n - 6*n**2 - k*n**3 - 3/4*n**4 + 0 = 0.
-2, -1, 0
Let j be (-1)/(-4)*(26 + -9 + -13). Factor -3/2*y**2 - 3/2*y + y**3 + j.
(y - 2)*(y + 1)*(2*y - 1)/2
Let a(o) be the third derivative of -o**8/84 + 26*o**7/105 - 19*o**6/10 + 19*o**5/3 - 25*o**4/3 - 2*o**2 - 44. Find m, given that a(m) = 0.
0, 1, 2, 5
Let a(u) be the first derivative of u**4/24 + 182*u**3/3 + 24843*u**2 - 3376. Determine i so that a(i) = 0.
-546, 0
Let u(k) be the third derivative of -1/24*k**6 + 0*k**3 + 1/4*k**5 - 2*k - 5*k**2 + 0*k**4 + 0. Factor u(t).
-5*t**2*(t - 3)
Let z(f) be the second derivative of 1/21*f**7 - 8*f + 0*f**3 + 16/3*f**4 + 0*f**2 + 16/5*f**5 - 6 + 2/3*f**6. Factor z(a).
2*a**2*(a + 2)*(a + 4)**2
Let p(u) be the first derivative of -1/45*u**4 - 24 - 7*u - 1/9*u**3 - 2/15*u**2. Let h(s) be the first derivative of p(s). Factor h(k).
-2*(k + 2)*(2*k + 1)/15
Factor -85/2*g + 423 - 1/2*g**2.
-(g - 9)*(g + 94)/2
Let -6538*a + 13084*a + 4*a**2 - 6522*a - 4*a**3 = 0. What is a?
-2, 0, 3
Let i(w) be the first derivative of w**7/840 + 3*w**6/80 + 11*w**5/80 + w**4/6 - 39*w**2 + 9. Let p(g) be the second derivative of i(g). Factor p(y).
y*(y + 1)**2*(y + 16)/4
Let o(k) be the second derivative of -k**6/15 + 23*k**5/5 - 62*k**4 - 3640*k**3/3 - 5408*k**2 + 3200*k. Find j, given that o(j) = 0.
-4, -2, 26
Suppose -7*d = 16 + 40. Let h be (0*d/80)/3. Solve -1/3*n**4 + 8/3*n + 1/3*n**3 + 10/3*n**2 + h = 0 for n.
-2, -1, 0, 4
Let v(w) = -129*w**3 - 302*w**2 - 313*w - 100. Let z(n) = -132*n**3 - 301*n**2 - 314*n - 100. Let q(c) = 9*v(c) - 8*z(c). Factor q(t).
-5*(t + 1)**2*(21*t + 20)
Let g = -442 + 454. Let u be (-6)/g - (-2)/4. Factor -2/3*d - 2/3*d**2 + u + 2/3*d**4 + 2/3*d**3.
2*d*(d - 1)*(d + 1)**2/3
Factor 806/5*q + 807/5 - 1/5*q**2.
-(q - 807)*(q + 1)/5
Let v = 237 + -222. Find r such that -20*r - 5 - 6 + v - 19 + 35*r**2 = 0.
-3/7, 1
Let p = -744 + 754. Let n(f) = -f**3 + 10*f**2 + 3*f - 28. Let i be n(p). Factor 0 - 3/8*m**i - 9/8*m.
-3*m*(m + 3)/8
Let w = 58 - 56. Find l such that -28615*l + l**w + 28370*l + 4*l**2 = 0.
0, 49
Solve 4*v**2 + 1062106 - 404292 - 2004*v + 338190 - 1988*v = 0.
499
Suppose 0 = -5*a + 13 + 12. Find x such that 2*x**3 - x - x**a + 244*x**4 - 245*x**4 + 0*x**2 - 1 + 2*x**2 = 0.
-1, 1
Let g(u) be the first derivative of u**5/25 + 5*u**4/2 + 877*u**3/15 + 630*u**2 + 15876*u/5 - 764. Let g(f) = 0. Calculate f.
-18, -7
Let x(r) = 535*r**2 - 1355*r + 1390. Let c(w) = -36*w**2 - w - 1. Let s(v) = -15*c(v) - x(v). Let s(y) = 0. Calculate y.
-275, 1
Let j = -10705/329 - -1583/47. Solve -2/7*x**4 - j*x**3 + 10/7*x**2 + 0*x + 0 = 0.
-5, 0, 1
Let q(b) be the second derivative of -b**5/10 + b**3 + 2*b**2 - 1893*b. Solve q(s) = 0.
-1, 2
Suppose -d = 4*s - 5*s - 35, -4*s = -d + 41. Suppose -268*t**2 - 9*t**3 - 197*t**2 - d*t**2 - 165*t - 831 + 831 = 0. Calculate t.
-55, -1/3, 0
Suppose -815