 + 2*t = -2. Let b = 1 + -1. Factor 2*y**2 + 177 + y**2 + b*y**u - 30 + 42*y.
3*(y + 7)**2
Let r(t) = -3*t**2 - 7*t + 8. Let v(s) = -2*s - 32. Let c be v(-13). Let j be (2 + 16/c)*3/(-2). Let k(y) = -y + 1. Let a(n) = j*r(n) - 6*k(n). Factor a(z).
-(z + 1)*(3*z - 2)
Determine h, given that 6836*h + 1710*h**2 - 996*h - 2685*h**2 + 60 = 0.
-2/195, 6
Let l(s) = -s**2 - 17*s - 14. Let g be l(-1). Factor -29*c**2 + 9*c**4 + 30*c + 0*c**3 - 7*c**4 - 5*c**g + 4*c**3 - 2*c**3.
2*c*(c - 3)*(c - 1)*(c + 5)
What is v in 2/5*v**2 - 846/5*v - 856 = 0?
-5, 428
Factor -i**2 + 3*i**2 + 1227713 + 5496*i - 1868*i + 417585.
2*(i + 907)**2
Let t be (159/7049)/(45/35). Let n(r) be the second derivative of 0 - 19*r - t*r**3 - 2/19*r**5 + 8/57*r**4 - 1/19*r**2. Determine a, given that n(a) = 0.
-1/5, 1/2
Let b = -2216 - -6649/3. Let t(l) be the second derivative of 6*l**2 - 4/3*l**3 + 0 - b*l**4 + 15*l. Solve t(f) = 0.
-3, 1
Suppose 37*z - 71 = 40. Factor 9*s**4 - 135*s + 5 + z*s**5 + 156*s + 34*s**2 + 26*s**3 - 2*s**5.
(s + 1)**4*(s + 5)
Factor -60/7*u**3 + 0*u + 0 - 27/7*u**4 + 0*u**2 - 3/7*u**5.
-3*u**3*(u + 4)*(u + 5)/7
Let s(b) = -17*b**3 - 14*b**2 + 329*b - 562. Let i(w) = -185*w**3 - 155*w**2 + 3620*w - 6180. Let x(u) = 6*i(u) - 65*s(u). Factor x(o).
-5*(o - 5)*(o - 2)*(o + 11)
Let s = -161435/16 + 166835/16. Determine c so that 0 + 12*c + 94*c**2 - s*c**4 + 111*c**3 - 243/2*c**5 = 0.
-3, -2/9, 0, 2/3
Let o(p) be the second derivative of p**5/110 + 35*p**4/66 - 51*p**3/11 + 117*p**2/11 - 3367*p. What is b in o(b) = 0?
-39, 1, 3
Let b be -3 - (2 - (-11)/((-44)/320)). Let -386*k**4 + 256*k**4 + 45*k**3 - 10*k**2 + b*k**5 + 20*k**3 = 0. What is k?
0, 1/3, 2/5, 1
Let q be ((-20)/(-2000)*-516)/(6/(-60)). Find a such that 24*a**3 + 21/5*a**4 + q*a - 48/5 - 351/5*a**2 = 0.
-8, 2/7, 1
Let z be (-1 - 2/(-12) - 3135/(-3762))/3. Solve -14/5*p + z - 2/5*p**2 = 0.
-7, 0
Find x, given that 444*x + 4 + 127236*x**2 - 2*x + 23308*x**2 + 948*x + 162*x = 0.
-1/194
Let 178/7*f**2 + 2/7*f**4 - 38/7*f - 180/7 + 38/7*f**3 = 0. What is f?
-10, -9, -1, 1
Let v be (495 + -489)*((-4)/(-6) + 0). Let 8/5*j**v + 38/5*j**2 + 5*j**3 + 8/5 + 28/5*j + 1/5*j**5 = 0. What is j?
-2, -1
Let z = -1057031 - -1057031. Factor z + 0*l**2 + 4/11*l**3 + 0*l - 2/11*l**4.
-2*l**3*(l - 2)/11
Let n(o) be the third derivative of o**6/200 - 21*o**5/100 + 49*o**4/20 - 12*o**3 - 212*o**2. Let n(f) = 0. What is f?
2, 4, 15
Let o be 1/(27*(3 - 7/3)). Let a(n) be the second derivative of -12*n + 1/15*n**5 - o*n**4 + 0 + 0*n**2 - 2/9*n**3 + 1/45*n**6. Factor a(m).
2*m*(m - 1)*(m + 1)*(m + 2)/3
Let z(t) = 57*t**3 + 4389*t**2 + 8817*t + 4380. Let f(a) = 11*a**3 + 878*a**2 + 1763*a + 876. Let i(u) = -21*f(u) + 4*z(u). Determine b, given that i(b) = 0.
-292, -1
Determine y, given that 172*y**2 - 332*y**2 + 169*y**2 + 3*y**3 - 34 - 18*y + 10 = 0.
-4, -1, 2
Let x = -613675 - -613678. Factor 0 - 6/5*m + 26/5*m**2 - 8/5*m**x.
-2*m*(m - 3)*(4*m - 1)/5
Let i(b) = -3*b - 49. Let a be i(-17). Let c = -5/71 - -167/355. Factor c*z**a + 0 + 2/5*z**3 + 0*z.
2*z**2*(z + 1)/5
Let x be (-15)/((-270)/48) + (-8)/(-6). Determine i, given that -28*i + 48 + 5*i**2 - 4*i**2 + 7*i**2 - x*i**2 = 0.
3, 4
Let d = 1173 + -1144. Suppose 31*p - d - 33 = 0. Factor 2/21*h**3 + 2/21*h**4 + 0 - 2/21*h - 2/21*h**p.
2*h*(h - 1)*(h + 1)**2/21
Let s = -9 - 4. Let r(v) = -75 + 62 + 8 + 29*v**2 - 11*v. Let c(i) = 14*i**2 - 6*i - 2. Let k(m) = s*c(m) + 6*r(m). What is b in k(b) = 0?
1/2, 1
Let t(l) be the first derivative of -24*l - 2 - 4/3*l**3 - 14*l**2. Factor t(r).
-4*(r + 1)*(r + 6)
Suppose -2*p + 5*n = -33, 0 = -2*p + 2*n - 3*n + 3. Suppose p*z - 49 = 175. Factor -96*q**2 + 144 - z*q**3 - 24*q**3 - 36*q - 148.
-4*(2*q + 1)**2*(5*q + 1)
Factor -4 + 66*x**3 + 75*x**3 + 90*x - 71*x**2 - 9 - 147*x**3.
-(x - 1)*(x + 13)*(6*x - 1)
Let z be 44/(-8)*450/(-9). Suppose 0 = 281*s - z*s - 12. Determine r so that -3/5*r**s - 3/5*r + 0 + 3/5*r**4 + 3/5*r**3 = 0.
-1, 0, 1
Suppose -q - 2 = -8. Let -120 + 150*f**3 - 36*f + q*f - 110*f**2 - 155*f**3 + 265*f = 0. What is f?
-24, 1
Let b(v) be the second derivative of 19*v - 1/5*v**5 - 2/15*v**6 + 0*v**2 + 1 + 0*v**3 + 0*v**4. Factor b(a).
-4*a**3*(a + 1)
Suppose -5*f + 3 = -12. Find x such that 325*x**5 - 45*x**4 + 10*x**3 - 320*x**5 + 57*x**3 + 3*x**f = 0.
0, 2, 7
Let m(y) be the first derivative of y**7/30 - y**6/30 - y**5/50 + 174*y + 165. Let s(r) be the first derivative of m(r). Factor s(c).
c**3*(c - 1)*(7*c + 2)/5
Let i(l) be the third derivative of 0*l + 56/3*l**4 + 0 + 29/30*l**5 + 229*l**2 + 196/3*l**3 + 1/60*l**6. Factor i(f).
2*(f + 1)*(f + 14)**2
Let a = 222 + 83. Factor -724 - a + 144*y - 4*y**2 - 267.
-4*(y - 18)**2
Suppose 16*c - 65 = 191. Factor 8 - 7 + 19 + c - 92*k**2 - 16*k**3 - 120*k.
-4*(k + 3)**2*(4*k - 1)
Let n = 431/146 - 1651/584. Let 0 - 3/2*f + 5/2*f**2 - 7/8*f**3 - 1/4*f**4 + n*f**5 = 0. What is f?
-3, 0, 1, 2
What is w in -8 - 131*w**2 + 1555*w**2 + 52*w + 1012*w**2 = 0?
-2/29, 1/21
Let i = -27 + 42. Let h(l) = l**2 - l - 1. Let v be h(2). Find r, given that -14*r**3 + v + 2*r - r**2 - 3*r + i*r**3 = 0.
-1, 1
Let x be ((-28)/(-12))/(8680/4464). Factor -2/5*v - 6/5*v**3 + 2/5*v**4 + 0 + x*v**2.
2*v*(v - 1)**3/5
Let t(v) = 13*v**2 + 2*v - 1. Let x be t(-2). Let h = x - 43. Factor 0*w - 8*w - 16*w**2 - 2*w**h - 16*w**3 - 2*w**4 - 4*w**2.
-4*w*(w + 1)**2*(w + 2)
Factor 0 - 3/7*p**5 + 0*p**2 + 645/7*p**3 - 642/7*p**4 + 0*p.
-3*p**3*(p - 1)*(p + 215)/7
Let i(o) = o**2. Let x(h) = -9*h**2 - h. Let w be 1/((-9)/(-178)) + 24/108. Let v(k) = w*i(k) + 5*x(k). Solve v(z) = 0 for z.
-1/5, 0
Let x(d) be the third derivative of 10/9*d**3 + 0 + 1/9*d**4 - 11/180*d**5 + 0*d + 1/360*d**6 + 79*d**2. Suppose x(s) = 0. What is s?
-1, 2, 10
Let h(a) be the third derivative of a**8/336 + a**7/35 - a**6/40 - a**5/3 - a**4/2 - 2249*a**2. Factor h(r).
r*(r - 2)*(r + 1)**2*(r + 6)
Factor 53/8*h + h**2 - 15/2 - 1/8*h**3.
-(h - 12)*(h - 1)*(h + 5)/8
Let g(a) be the second derivative of a**6/30 - 3573*a**5/20 + 1418481*a**4/4 - 563136957*a**3/2 + 2260*a. Suppose g(u) = 0. Calculate u.
0, 1191
Let b be (-192096)/(-2304) - (-9 + 92). Let x = -12/19 + 537/38. Factor x + 9/2*n + b*n**2.
3*(n + 6)**2/8
Factor 72 + 44 + 43 + 92*f + 4*f**3 - 44*f**2 + 40 - 59.
4*(f - 7)*(f - 5)*(f + 1)
Let w be -2*4 + (-1846)/497. Let h = w - -185/14. Factor 3*b**2 + 0 + h*b + 3/2*b**3.
3*b*(b + 1)**2/2
Suppose -48 - 154*w**2 - 72 + 264*w + 8*w**3 + 330*w - 76*w = 0. What is w?
1/4, 4, 15
Suppose -146 = 18*p + 55*p. Let t be (-62)/(-93) + -4*p/4. Determine w so that t*w**3 + 1/3*w**4 + 0 + 4/3*w**2 + 0*w - w**5 = 0.
-1, -2/3, 0, 2
Let r(y) be the third derivative of y**9/20160 + y**8/1344 + y**7/280 + y**5/30 + y**4/24 + 64*y**2. Let h(z) be the third derivative of r(z). Solve h(d) = 0.
-3, -2, 0
Let b(d) be the third derivative of d**6/30 + 83*d**5/15 - 223*d**4/3 - 352*d**3 + d**2 - 542*d + 5. Find j such that b(j) = 0.
-88, -1, 6
Suppose 2/5*d**4 - 22/5*d**2 + 0 - 8/5*d**5 + 4/5*d + 24/5*d**3 = 0. What is d?
-2, 0, 1/4, 1
Suppose -4*s = -3*s - 12. Suppose 0 = 2*v + 4*z - 24, -3*v + 4*z - s = v. Factor 80*y - 12 - 5 - 148*y**v + 1 + 145*y**3 - 36*y**4 - 25*y**3.
-4*(y - 1)**2*(3*y - 2)**2
Let s be (-2)/(-17) + 5776/323. Suppose 0*w + s = 9*w. Suppose -1/4 + 1/2*g - 1/4*g**w = 0. Calculate g.
1
Factor 87/7*v**4 - 3/7*v**5 - 28917*v + 1590/7*v**3 + 1147041 - 7506*v**2.
-3*(v - 21)**3*(v + 17)**2/7
Let p(m) = -m**3 + 3*m**2 + 2*m - 4. Let c be p(3). Factor 20*j**4 + 16*j + 151*j**c + 152*j**3 - 15 + 45*j**2 - 33.
4*(j + 1)**2*(j + 6)*(5*j - 2)
Let f be 553792/10689 + 2/(-14). Let 68/3*n**2 - f*n - 50/3 - 7/3*n**3 = 0. What is n?
-2/7, 5
Suppose 21*l + 19 - 82 = 0. Solve 63*y**l + 35*y + 40*y**2 + 64*y**3 - 122*y**3 = 0 for y.
-7, -1, 0
Let x(s) be the third derivative of -s**8/1008 - 73*s**7/630 - 1483*s**6/360 - 4903*s**5/180 + 1819*s**4/9 - 4046*s**3/9 - s**2 - s - 391. Solve x(i) = 0 for i.
-34, -7, 1
Suppose 0*z + 4*z + 5*t = 2, 2*z = 5*t + 16. Let -19*j + 7 - 2*j - 15*j**3 + 27*j**2 - 1 + z*j**4 = 0. Calculate j.
1, 2
Let r = -1487575/4 - -371897. What is i in 1/4*i**5 + 5/4*i**4 - 3 - 9/4*i**3 + 7*i - r*i**2 = 0?
-6, -2, 1
Let w(y) be the second derivative of -y**7/210 + 7*y**5/60 + y**4/4 + 10*y**2 + 37*y. Let l(z) be the first deri