u = 8, -2*u = -5*i + 2*i + 5. Determine g, given that -5/4*g**4 + 0 - 1/2*g - 1/4*g**h - 9/4*g**i - 7/4*g**2 = 0.
-2, -1, 0
What is n in -114 - 1/3*n**2 - 37/3*n = 0?
-19, -18
Let x(a) = 6956450*a**3 - 7334*a**2 - 12*a + 14. Let z(i) = -9*i**2 + i - 1. Let d(q) = -2*x(q) - 28*z(q). Factor d(n).
-4*n*(1865*n - 1)**2
Suppose -31*x = 2*x - 66. Find m such that 184*m + 39 - 57*m**3 + 9*m**3 + 126*m**x - 304*m + 3*m**4 = 0.
1, 13
Let t = -293 + 303. Let r be t/(111/(-74)*4/(-3)). Solve -5/9*w**r + 7/9*w**4 + 0 - 7/9*w**2 + 1/3*w**3 + 2/9*w = 0 for w.
-1, 0, 2/5, 1
Let c(q) be the third derivative of -q**7/35 + 17*q**6/60 + 7*q**5/45 - 115*q**4/9 + 200*q**3/3 - 16*q**2 + 22. Solve c(l) = 0 for l.
-3, 2, 10/3
Let c(n) be the second derivative of n**4/84 - 71*n**3/7 - 1287*n**2/14 - 2*n + 35. Factor c(t).
(t - 429)*(t + 3)/7
Let p(a) be the second derivative of 1/10*a**5 + 5/6*a**4 + 5/42*a**7 + 0 - 7/6*a**3 - 22*a + 1/2*a**2 - 11/30*a**6. Factor p(h).
(h - 1)**3*(h + 1)*(5*h - 1)
Suppose -366 + 72 = -98*o. Let f(g) be the first derivative of 9/8*g**4 - 4 + 24*g**2 + 48*g - 11*g**o. Factor f(l).
3*(l - 4)**2*(3*l + 2)/2
Let q be 2 - (-76)/(-8) - (-1)/2. Let b(o) = o**3 + 4*o**2 - 24*o - 13. Let h be b(q). Factor -7*k**2 - h*k + 9*k**2 + 11 + 21 - 6*k**2.
-4*(k - 2)*(k + 4)
Let b(j) be the first derivative of -27/2*j**2 - 27*j + 69 - 1/4*j**4 - 3*j**3. Find g such that b(g) = 0.
-3
Let i be (12/(-9))/((-14)/21). Factor -h**i - 9*h + 15*h - 6*h**2 + 4*h**2.
-3*h*(h - 2)
Suppose 19*f - 322 = -4*f - 230. Let t(v) be the first derivative of -23 + f*v + v**2 - 2/3*v**3. Determine u, given that t(u) = 0.
-1, 2
Let p be (-4)/(0/(-4) + -2). Determine y so that -6*y**p + 150*y**4 + 33*y**3 - y**2 + 119*y**5 + 10*y**2 - y**2 = 0.
-1, -1/7, -2/17, 0
Let u be 2/(-1) - (7 - 14). Suppose -2*l - 122 = -u*v + 164, -l + 2 = 0. Solve -9*s**2 - 2*s**3 - s**2 - 64 - 14*s + v = 0 for s.
-3, -1
Let l = 7370 + -7370. Let w(g) be the third derivative of 22*g**2 - 2/3*g**4 + 0*g + l*g**3 + 0 + 1/15*g**5. Factor w(s).
4*s*(s - 4)
Let a = 1074585/470134 + 1/67162. Factor 12/7*q**2 - a - 4/7*q**4 - 16/7*q + 8/7*q**3.
-4*(q - 2)**2*(q + 1)**2/7
Let d(c) be the third derivative of c**6/300 + 293*c**5/150 + 284*c**4/5 + 3372*c**3/5 - 12981*c**2. Factor d(k).
2*(k + 6)**2*(k + 281)/5
Factor 1839/2*b**2 + 1833/2 - 3669/2*b - 3/2*b**3.
-3*(b - 611)*(b - 1)**2/2
Let k be (3/(-15))/((-2)/(14 - -6)). Let a be 3*k - (-870)/(-232). Determine r, given that 1 - 7/4*r**3 + 3*r - a*r**2 = 0.
-2, -2/7, 1
Let w = -11/84 - -1403/1092. Let q = 161/117 - w. Factor 0*s - q*s**2 + 0.
-2*s**2/9
Suppose 39999*c**3 - 45*c**5 - 10560 - 13213*c - 10175*c - 9145*c**4 + 7780*c**2 + 10*c**5 - 14889*c**3 - 13612*c = 0. What is c?
-264, -1, -2/7, 2
Let h = -162 + 169. Find n such that h + 19*n + 20*n + n**2 - 31*n = 0.
-7, -1
Let i = 10 - 7. Suppose 4 = i*s + 3*n + 7, -4 = -5*s - 2*n. What is b in 4*b**2 + 2*b**4 + 10*b**5 - 9*b**5 - 3*b**2 - 3*b**3 - 5*b**s + 4*b = 0?
-2, 0, 1
Let g be 6/7 + (-176)/(-56). What is x in -1/3*x**5 - 4/3*x + x**3 + 0 + 2/3*x**g - 4/3*x**2 = 0?
-1, 0, 2
Let 4*h**4 + 56*h**3 + 24*h**2 - 76*h**3 + 48*h**3 + 229*h - 229*h = 0. Calculate h.
-6, -1, 0
Let k(o) be the third derivative of o**7/280 - 5*o**6/8 + 389*o**5/80 - 241*o**4/16 + 24*o**3 + 1275*o**2. Solve k(a) = 0.
1, 2, 96
Suppose 3/2*l**3 - 114*l**2 + 0 + 630*l = 0. What is l?
0, 6, 70
Let h be ((-2)/4)/(1/(-10)) + (-1)/1. Let v(s) be the third derivative of 17*s**2 - 1/180*s**5 + 1/18*s**3 + 0*s + 0*s**h + 0. Factor v(p).
-(p - 1)*(p + 1)/3
Let m(z) be the first derivative of -3*z**5/10 + 99*z**4/8 - 175*z**3/2 - 4959*z**2/4 - 2166*z - 5233. Find p such that m(p) = 0.
-4, -1, 19
Let f(w) = w**3 - 16*w**2 - 17*w + 52. Let h be f(17). Let 24*s**2 - h*s + 0*s**2 - 4*s**3 - 34*s**2 - 46*s**2 = 0. Calculate s.
-13, -1, 0
Let g be (-3 - -2) + (-2)/(36/(-22)). Let p(x) = -62*x**2 + 2358*x - 73. Let c be p(38). Factor 8/9*l + 2/3 - 4/9*l**c - g*l**2.
-2*(l + 1)**2*(2*l - 3)/9
Let r = -12291/5 - -2459. Let b(a) be the first derivative of 0*a**2 + 9 - r*a - 3/20*a**4 + 7/15*a**3. Factor b(k).
-(k - 2)*(k - 1)*(3*k + 2)/5
Suppose -138*x - 150*x = -259*x. Let a(h) be the third derivative of 121/10*h**3 - 35*h**2 + 0*h + x + 1/100*h**5 + 11/20*h**4. Factor a(b).
3*(b + 11)**2/5
Let j(z) be the first derivative of z**5/15 - 45*z**4/8 - 34*z**3/9 + 219. Let j(h) = 0. Calculate h.
-1/2, 0, 68
Let t(k) be the first derivative of 2*k**3 - 47*k**2/4 - 2*k - 4683. Factor t(u).
(u - 4)*(12*u + 1)/2
Let t be ((-3696)/(-110))/(-12)*20/(-16). Find x such that -2 + t*x - x**2 - 1/2*x**3 = 0.
-4, 1
Let d be 1 + 2 + -40 + 40. Suppose 242 + r**3 + 0*r**3 - 198*r - 42*r**2 - 9*r**3 + 6*r**d = 0. Calculate r.
-11, 1
Let s(q) be the second derivative of -q**4/42 - 262*q**3/21 - 17161*q**2/7 - q - 508. Factor s(k).
-2*(k + 131)**2/7
Let s(w) = -38*w**2 + 35*w + 3. Let j be (-2 - -6)*3/4. Let z(o) = 2 + j + 9*o - 4 + 9*o - 19*o**2. Let i(a) = -3*s(a) + 7*z(a). Factor i(c).
-(c - 1)*(19*c - 2)
Let r(v) = 2*v**3 - 2044*v**2 + 1031*v + 1020. Let t(q) = -24*q**3 + 26570*q**2 - 13400*q - 13260. Let x(k) = 76*r(k) + 6*t(k). Find j, given that x(j) = 0.
-510, -1/2, 1
Solve 0*r - 8*r**3 + 0 + 2/3*r**4 - 56/3*r**2 = 0 for r.
-2, 0, 14
Let f = 532715/9106 + -7/4553. Factor 33/2*g + 123/2*g**3 - f*g**2 + 3/2 - 21*g**4.
-3*(g - 1)**3*(14*g + 1)/2
Let y(f) be the first derivative of -155/9*f**3 + 85/12*f**4 - 175/12*f**2 + 12 + 245/6*f + 5/36*f**6 + 13/6*f**5. Let y(o) = 0. Calculate o.
-7, -1, 1
Let h = 714/13 - 1415/26. Determine z so that -1/6*z**2 - h*z + 2/3 = 0.
-4, 1
Let i(r) be the second derivative of -r**6/10 + 3*r**5/5 + 12*r**4 + 56*r**3 + 120*r**2 - 1746*r. Solve i(o) = 0 for o.
-2, 10
Let w be (-2 + 1)/((12/(-9))/4). Solve 2/3*a**2 - 2/3*a**4 - 2/3*a + 2/3*a**w + 0 = 0 for a.
-1, 0, 1
What is w in -1/9*w**2 - 88804/9 - 596/9*w = 0?
-298
Suppose -3*l - 12 = -5*x + 10, 2*l + 6 = -x. Factor -6*h**3 + 2*h**3 - 112*h + 60 - 184*h**x + 224*h**2 + 36.
-4*(h - 6)*(h - 2)**2
Suppose 5*p + 4*i + 0*i = 10, 5*p - 3*i = 45. Suppose -13*l = -p*l - 14. Determine b so that 0 + 0*b - 1/2*b**3 + b**l = 0.
0, 2
Let a be 371/(-1470) - (-8)/(-168) - 6/(-20). Let h(s) be the third derivative of a + 0*s - 96*s**3 - 4*s**2 - 1/15*s**5 + 4*s**4. Factor h(z).
-4*(z - 12)**2
Let d(p) = -24*p**3 - 504*p**2 - 51*p - 1049. Let y be d(-21). Suppose y*m**2 + 32/3*m**4 + 8/3*m + 0 + 48*m**3 = 0. What is m?
-4, -1/4, 0
Let f be (((1 - -9) + -10)/(-1 + 0))/2. Let c(t) be the second derivative of 10*t - 1/30*t**5 + f*t**2 - 5/72*t**4 + 0 - 1/18*t**3 - 1/180*t**6. Factor c(l).
-l*(l + 1)**2*(l + 2)/6
Let v = 2074/885 - 3/295. Let i(t) be the second derivative of -2/5*t**5 + 0 + 4/3*t**3 + v*t**4 + 0*t**2 - 14/15*t**6 - 25*t. Solve i(j) = 0 for j.
-1, -2/7, 0, 1
Let p = 101196 + -303587/3. Factor -1/3*w**3 + 0*w**4 + p*w**5 + 0*w + 0*w**2 + 0.
w**3*(w - 1)*(w + 1)/3
Let r(k) be the first derivative of -2*k**6/27 - 94*k**5/9 - 13*k**4/2 - 28. Factor r(n).
-2*n**3*(n + 117)*(2*n + 1)/9
Let l = 9719/116532 + -2/29133. Let a(s) be the third derivative of 0*s + l*s**5 - 26*s**2 + 0 + 1/24*s**6 + 0*s**3 - 5/4*s**4. Factor a(h).
5*h*(h - 2)*(h + 3)
Factor -263/3*y - 262/3 - 1/3*y**2.
-(y + 1)*(y + 262)/3
Let s = -2138 + 2175. Suppose 99*l - s*l - 124 = 0. What is w in -1/5*w**4 - 2/5*w**3 + 0*w**l + 0 + 0*w + 1/5*w**5 = 0?
-1, 0, 2
Let w(y) = y**4 - 145*y**3 - 641*y**2 - 491*y - 8. Let r(t) = 6*t**4 - 725*t**3 - 3206*t**2 - 2456*t - 38. Let o(z) = -4*r(z) + 19*w(z). Factor o(l).
-5*l*(l - 33)*(l + 1)*(l + 3)
Let u(i) be the third derivative of -i**8/241920 - i**7/1728 + i**6/240 - 13*i**5/30 - 22*i**2 - 2. Let o(a) be the third derivative of u(a). Factor o(n).
-(n - 1)*(n + 36)/12
Let w be (-63)/(-7) - (-3 - (-112)/(-24)). Let i(j) be the third derivative of 0*j - w*j**3 - 5/6*j**4 - 25*j**2 + 0 - 1/60*j**5. Factor i(s).
-(s + 10)**2
Let l(d) be the second derivative of 3*d**5/20 + 269*d**4/4 - 135*d**3 - 531*d. Determine u so that l(u) = 0.
-270, 0, 1
Let j(l) be the third derivative of -l**6/180 + l**5/30 - l**4/12 + l**3/9 - 5*l**2 - 2*l - 15. Factor j(n).
-2*(n - 1)**3/3
Let r(f) be the second derivative of f**6/165 + 3*f**5/11 + 74*f**4/33 - 442*f**3/11 - 1445*f**2/11 - 871*f. Suppose r(h) = 