s - 5)*(s - 1)**2/9
Suppose -6*c - 33 + 51 = 0. Suppose 29*b**4 - 28*b**4 + b**2 - 119 + c*b + 117 - 3*b**3 = 0. Calculate b.
-1, 1, 2
Suppose 3*d - 15 = -3. Let g be (1*3)/(21/14). Let d + 3*q + q**2 + 127*q**3 - 5 + 0*q**g - 130*q**3 = 0. What is q?
-1, 1/3, 1
Let h(t) be the second derivative of t**4/90 - 2728*t**3/45 + 1860496*t**2/15 + 223*t + 15. Factor h(r).
2*(r - 1364)**2/15
Let t = -212 - -302. Suppose 120*p + 43*p**2 + 5*p**3 + t + 90 - 98*p**2 = 0. Calculate p.
-1, 6
Let u(j) be the third derivative of -25*j**8/336 - 143*j**7/14 - 15969*j**6/40 - 136089*j**5/100 - 10017*j**4/5 - 7938*j**3/5 - j**2 - 190*j. Factor u(r).
-(r + 42)**2*(5*r + 3)**3/5
Let -4/7*b**5 + 592*b**2 + 1092*b + 520/7*b**3 + 0 - 16/7*b**4 = 0. What is b?
-7, -3, 0, 13
Let c(s) be the first derivative of -1/24*s**4 + 0*s**2 - 68 - 1/18*s**3 + 0*s. Factor c(i).
-i**2*(i + 1)/6
Let c be (-3)/(0 - (-6)/(-8)). Factor -38*x**4 + 14*x**c + 64*x**3 - 1 + 1 + 0 - 4*x**5.
-4*x**3*(x - 2)*(x + 8)
Let r(c) be the second derivative of -13/6*c**4 - 56/9*c**3 - 1/90*c**6 - 4/15*c**5 + 0 - 49/6*c**2 - 51*c. Find h, given that r(h) = 0.
-7, -1
Let s(t) be the first derivative of -t**4/2 + 92*t**3/3 + 416*t**2 + 1728*t + 282. Factor s(y).
-2*(y - 54)*(y + 4)**2
Let g be 50/(-132) + (60/12 - (-294)/(-66)). Factor 1/3 + g*c + 5/6*c**3 - 4/3*c**2.
(c - 1)**2*(5*c + 2)/6
Factor 75/8 - 1/8*h**3 + 53/8*h - 23/8*h**2.
-(h - 3)*(h + 1)*(h + 25)/8
Determine r, given that -r**3 - 12512*r + 226*r**2 + 57*r**2 + 110976 - r**3 + 91*r**2 - 78*r**2 = 0.
12, 68
Factor 68*t - 66 - 91*t**2 + 31*t**2 + 18*t**2 + 19*t**2 + 21*t**2.
-2*(t - 33)*(t - 1)
Let f = -3092/173 + 2027191/110374. Let n = f - -2/319. Factor -n*o**5 + 0*o + 0*o**2 + 0 + 0*o**3 + o**4.
-o**4*(o - 2)/2
Let z(q) be the first derivative of -5*q**4/4 - 1235*q**3/3 + 1245*q**2 - 4415. Find u such that z(u) = 0.
-249, 0, 2
Let s = 10579 - 31705/3. What is h in -4*h**4 + s*h + 16*h**2 + 2/3*h**5 + 0 + 2/3*h**3 = 0?
-1, 0, 4
Let c(h) be the first derivative of -h**6/6 + 2*h**5/5 + 45*h**4/4 + 142*h**3/3 + 86*h**2 + 72*h + 282. Find l such that c(l) = 0.
-2, -1, 9
Let p = -28 + 29. Find c such that -p - 8 + 2*c - c**2 + 8 = 0.
1
Determine h, given that 54*h**3 - 15/2*h**4 + 21/2 - 3*h**2 - 54*h = 0.
-1, 1/5, 1, 7
Suppose 5*c - 2 + 7 = 3*t, 3*c - 5*t + 19 = 0. Factor 0 + 48*y**c + 18*y - 13*y - 44*y - 9.
3*(y - 1)*(16*y + 3)
Factor -29597*o**3 - 10*o**2 - 6*o**2 - 24*o + 29595*o**3.
-2*o*(o + 2)*(o + 6)
Let t(u) be the second derivative of 14*u**5/5 + 53*u**4/6 - 7*u**3/3 - 2*u**2 - 2779*u. Factor t(j).
2*(j + 2)*(4*j - 1)*(7*j + 1)
Factor -64980*q - 16*q**3 + 65563*q + 73 + 661*q**2 + 499*q**2.
-(q - 73)*(4*q + 1)**2
Let b(u) be the first derivative of 5/2*u**4 + 0*u - 2*u**3 - 131 - 2/5*u**5 - 9*u**2. Factor b(g).
-2*g*(g - 3)**2*(g + 1)
Let l(q) be the first derivative of 3*q**5/5 + 9*q**4 - 13*q**3 + 3201. Factor l(j).
3*j**2*(j - 1)*(j + 13)
Let w(g) be the first derivative of -2*g**3/15 - 894*g**2/5 + 1145. Factor w(f).
-2*f*(f + 894)/5
Suppose -3*g = z - 14, 39 = 2*z - 0*z - 5*g. Factor -8*t - 36*t**2 - 17 + z - 16*t**3.
-4*t*(t + 2)*(4*t + 1)
Let y(u) = -2*u**2 + 25*u - 21. Let f be y(12). Let v be f/(702/91)*(-4)/14. Factor v*w**2 + w + 2/3.
(w + 1)*(w + 2)/3
Let f(j) be the first derivative of -j**6 + 27*j**5/10 + 51*j**4/8 - 9*j**3/2 - 39*j**2/4 - 485. Suppose f(s) = 0. What is s?
-1, 0, 1, 13/4
Let i(r) be the second derivative of -9*r**5/20 - 329*r**4/2 + 886*r**3 - 1332*r**2 + 16*r + 7. Factor i(l).
-3*(l - 2)*(l + 222)*(3*l - 2)
Suppose 0 = 152*k - 153*k. Let h(b) be the third derivative of 0*b - 1/24*b**4 + 1/3*b**3 + 28*b**2 - 1/60*b**5 + k. Determine m, given that h(m) = 0.
-2, 1
Let t(i) be the first derivative of -4*i**4 + 7*i**3/3 + 23*i**2/2 - 2738. Find y, given that t(y) = 0.
-1, 0, 23/16
Factor 589824 - 567/4*f**3 - 3/4*f**4 - 8784*f**2 - 168960*f.
-3*(f - 3)*(f + 64)**3/4
Let y be -3 + (-312)/(-702)*(-111)/(-4). Let j(w) be the first derivative of -11 + 8*w + y*w**3 + 18*w**2. Factor j(v).
4*(v + 1)*(7*v + 2)
Let z(n) be the third derivative of n**5/80 - 43*n**4/16 - 22*n**3 + 2*n**2 - 252*n. Solve z(r) = 0 for r.
-2, 88
Let b be 4/(-10)*(2512 - 2522). Suppose -6/5*y**3 + 12/5 + 12/5*y + 3/5*y**b - 9/5*y**2 = 0. What is y?
-1, 2
Let q(s) be the second derivative of 0 + 0*s**2 - 1/15*s**6 - 1/12*s**4 + 0*s**3 - 285*s - 1/84*s**7 - 1/8*s**5. Suppose q(a) = 0. Calculate a.
-2, -1, 0
Determine q, given that -174*q**3 + 397*q - 27*q**5 + 603*q**4 - 4 - 272*q + 4 - 540*q**2 + 139*q = 0.
-1, 0, 2/3, 22
Let y = 358 - 301. Let p be 970/190 - 6/y. Suppose 4/3*o**4 + 4/9*o**p - 8/9*o + 0 + 4/9*o**3 - 4/3*o**2 = 0. What is o?
-2, -1, 0, 1
Let m(u) be the second derivative of u**4/4 + 61*u**3 + 363*u**2/2 - 131*u + 1. Factor m(r).
3*(r + 1)*(r + 121)
Let s(h) = -h**3 - 4*h**2 - 5*h - 4. Let j be s(-3). Determine i, given that -26*i + 65 + 3*i**3 + 2*i - 65 + 21*i**j = 0.
-8, 0, 1
What is v in 0*v**2 + 0 + 0*v + 3/5*v**5 + 198/5*v**4 + 336*v**3 = 0?
-56, -10, 0
Let m(o) be the third derivative of -o**5/420 + 3*o**4/7 - 216*o**3/7 + 1554*o**2. What is f in m(f) = 0?
36
Suppose -p = -5*f - 4*p + 477, 0 = 2*f + 2*p - 190. Let n be 2/(-5) + f/15. Factor -3 + 5 + 3*x**2 - 12*x + 4 + n.
3*(x - 2)**2
Let a(v) be the first derivative of -2/21*v**3 - 38 - v**2 + 0*v. Find s such that a(s) = 0.
-7, 0
Let b be 87*(84/(-21))/32 - (-12 + 1). Factor 0 + b*x**2 + 27/8*x.
x*(x + 27)/8
Let t(i) = i**2 - 16*i + 30. Let d = -23 + 37. Let k be t(d). Factor 16/7 + 36/7*z**k - 40/7*z + 2/7*z**4 - 2*z**3.
2*(z - 2)**3*(z - 1)/7
Factor 57/8*c**2 + 33/8*c**3 + 0 + 27/8*c + 3/8*c**4.
3*c*(c + 1)**2*(c + 9)/8
Let v(g) be the first derivative of 104 - 1/5*g**3 - 45*g**2 - 3375*g. Factor v(c).
-3*(c + 75)**2/5
Let j(i) be the second derivative of i**7/210 - 2*i**6/75 - i**5/50 + i**4/5 + 3*i**3/10 - 119*i + 20. Determine t, given that j(t) = 0.
-1, 0, 3
Let x(c) = -9*c**2 - 73*c - 115. Let w be x(-4). Let b(z) be the first derivative of -1/5*z**3 + 1/5*z + 1/5*z**2 - w. Solve b(d) = 0 for d.
-1/3, 1
Solve 192 - 5551*v + 2762*v - 2*v**2 + 2725*v - 56 = 0 for v.
-34, 2
Let a be ((-6)/4)/(6/152). Let d = 40 + a. Solve 2*n**d + 6*n - n**3 - 1 - 1 - 5*n = 0.
-1, 1, 2
Let x(h) = -2*h**3 - 51*h**2 + 17*h + 57. Let m be x(-26). Suppose 290*y = m*y. Determine n so that -2/5*n**2 + 0 + y*n = 0.
0
Let x(p) be the second derivative of -p**6/10 - 213*p**5/20 + 55*p**4 - 74*p**3 - 14925*p. Suppose x(z) = 0. Calculate z.
-74, 0, 1, 2
Suppose 38 = -5*w + 3. Let g(c) = 4*c**2 + 91*c + 14. Let l(b) = -3*b**2 - 61*b - 10. Let h(j) = w*l(j) - 5*g(j). Suppose h(o) = 0. Calculate o.
0, 28
Let h(i) be the first derivative of -i**4/8 + 25*i**3/6 - 17*i**2 + 22*i - 195. Factor h(x).
-(x - 22)*(x - 2)*(x - 1)/2
Let q(i) be the second derivative of -16*i**3 + 192*i**2 - 7/2*i**4 + 0 + i - 3/20*i**5. Factor q(k).
-3*(k - 2)*(k + 8)**2
Find k such that 360*k**3 - 1143*k**4 - 130*k**3 + 150*k - 30*k + 1131*k**4 - 758*k**2 = 0.
0, 1/6, 4, 15
Factor 2896/5*t + 1048352/5 + 2/5*t**2.
2*(t + 724)**2/5
Let r(o) be the first derivative of -o**3/9 - 58*o**2/3 - 416*o + 5103. Find n, given that r(n) = 0.
-104, -12
Let k(r) = -42*r + 18*r**2 + 2 + 24*r**2 - 38*r**2. Let s(d) = 2*d**2 - 43*d + 1. Let z(c) = -7*k(c) + 6*s(c). Find n, given that z(n) = 0.
1/4, 2
Let a(r) be the second derivative of 2*r**6/15 + 3227*r**5/5 + 1156700*r**4 + 2484587296*r**3/3 - 2491533952*r**2 + 3875*r. Find n such that a(n) = 0.
-1076, 1
Let w(m) be the first derivative of m**6/6 + 16*m**5 - 84*m**4 + 16*m**3/3 + 664*m**2 - 1344*m + 5465. Factor w(b).
(b - 2)**3*(b + 2)*(b + 84)
Let h = 1/6696 + -2013265/6696. Let t = h + 301. Suppose -1/3*s + t*s**2 + 0 = 0. Calculate s.
0, 1
Let l(h) = -14*h + 78. Let m be l(5). Solve 7*o - m*o - 24 + 6*o**2 + 3*o**3 - 4*o - 7*o = 0 for o.
-2, 2
Let q = 25366 - 25361. Let k(d) be the second derivative of 4/15*d**6 + 2 + 0*d**2 + 5*d - 4/63*d**7 - 3/10*d**q + 0*d**4 + 0*d**3. Factor k(x).
-2*x**3*(2*x - 3)**2/3
Let n(p) be the third derivative of p**7/420 + 43*p**6/240 - 673*p**5/120 - 715*p**4/48 + 2*p**2 + 208*p - 5. Suppose n(i) = 0. Calculate i.
-55, -1, 0, 13
Let b be 220/(-33)*-2*(-9)/(-3). Let -h**2 + 16*h + 81 - b + 0*h**2 - 2*h**2 - 54 = 0. What is h?
1, 13/3
Let s = 