 15 = 0. Let s be (-90)/(-27)*-3 + m. Suppose 6/11*d**2 - 8/11*d + s = 0. Calculate d.
0, 4/3
Let z(b) be the first derivative of -1/6*b**3 + 131 - 1/4*b**2 + 0*b. Factor z(k).
-k*(k + 1)/2
Let c(r) be the second derivative of r**6/70 - 21*r**5/20 + 855*r**4/28 - 6075*r**3/14 + 20250*r**2/7 + 2*r + 63. Factor c(q).
3*(q - 15)**3*(q - 4)/7
Solve -1597*n**3 + 170*n - 80*n**5 + 10787*n**2 - 12222*n**2 - 1160*n**4 + 4912*n**3 = 0 for n.
-17, 0, 1/4, 2
Let w(o) = o - 11. Let a be w(13). Suppose 1 = 5*p - 5*r + 11, 5*r = -a*p + 31. Let -3*y**2 - 4*y + 68 + 4*y**p - 64 - y**2 = 0. What is y?
-1, 1
Let h(w) be the first derivative of 2*w**5/35 + 9*w**4/14 - 2*w**3 + 11*w**2/7 + 5925. Let h(m) = 0. Calculate m.
-11, 0, 1
Let u(x) = -x**2 - x + 1. Let r(h) = 8 + 6*h**2 - 2*h**2 + 5*h**2 - 7*h**2 + 13*h. Let k(y) = r(y) + 3*u(y). Factor k(j).
-(j - 11)*(j + 1)
Let j be -4 + 35 + -20 + (-1 - 0) - 10. Factor j - f + 1/3*f**2.
f*(f - 3)/3
Let k = 1781309/4 + -445327. Let k*c**3 - 19/4*c**2 + 19/4 - 1/4*c = 0. What is c?
-1, 1, 19
Let s(q) be the second derivative of 2*q**6/135 - 362*q**5/45 + 33829*q**4/27 - 128872*q**3/9 + 63368*q**2 - 2656*q. Factor s(g).
4*(g - 178)**2*(g - 3)**2/9
Let f = -7894/69 - -2662/23. What is b in -14*b**2 - f*b + 0 = 0?
-2/21, 0
Solve 0 - 20/3*w**2 + 1/6*w**5 + 2/3*w**4 - 13/6*w**3 + 8*w = 0 for w.
-4, 0, 1, 3
Find a such that 39 - 104 - 239 + 10*a - 84*a + 14*a + 4*a**2 = 0.
-4, 19
Let d be 1353/(-164) - 1/(-4). Let w be (d/(-14))/((-527)/(-434)). Solve -8/17*s - w + 26/17*s**2 - 10/17*s**3 = 0.
-2/5, 1, 2
Suppose -7*r = -0*r - 427. Let u = r - 57. Solve 7*b**4 + b**5 - 20*b**3 + u*b**5 + 16*b**4 - 40*b**2 - 13*b**4 = 0 for b.
-2, 0, 2
Let z(w) = 125*w**2 + 2223*w - 1227. Let v(i) = -78*i**2 - 1334*i + 736. Let h(o) = 13*v(o) + 8*z(o). Factor h(q).
-2*(q - 31)*(7*q - 4)
Let q(s) be the first derivative of 2*s**3/3 + 43*s**2 - 480*s - 841. Factor q(v).
2*(v - 5)*(v + 48)
Find i such that -27 + 1/2*i**3 - i**2 - 57/2*i = 0.
-6, -1, 9
Let d = -7809 - -7813. Let o(p) be the second derivative of 0 + 1/3*p**2 - 2/9*p**3 - 15*p + 1/18*p**d. Determine m, given that o(m) = 0.
1
Let i(f) be the second derivative of -f**4/3 - 208*f**3/3 - 4177*f - 2. Determine v so that i(v) = 0.
-104, 0
Let i(g) be the third derivative of 5*g**8/224 - 5*g**7/12 + 199*g**6/100 + 26*g**5/15 - 8*g**4/5 - 12*g**3/5 - 2295*g**2. Solve i(b) = 0.
-2/5, -1/3, 2/5, 6
Let h(m) = -126*m**2 + 5*m + 8. Let f be h(2). Let d = 2917/6 + f. Find a such that -1/6*a**2 + 1/12 + 1/12*a**4 - d*a**3 + 1/12*a**5 + 1/12*a = 0.
-1, 1
Let b(n) be the third derivative of n**7/1365 - n**6/195 - 14*n**5/39 - 5*n**2 - 207*n. Solve b(p) = 0 for p.
-10, 0, 14
Let d(r) be the first derivative of r**6/90 + r**5/15 + 5*r**4/36 + r**3/9 + 132*r + 97. Let u(n) be the first derivative of d(n). Factor u(z).
z*(z + 1)**2*(z + 2)/3
Let q be (-4 - -21)/(297/(-54) - -14). What is f in -1/6*f**q - 5*f - 75/2 = 0?
-15
What is k in -1/2*k**2 - 25/2*k - 33 = 0?
-22, -3
Let v(g) be the first derivative of -4*g**6 + 60 + 12/5*g**5 - g**3 + 0*g + 3/2*g**4 + 0*g**2. What is t in v(t) = 0?
-1/2, 0, 1/2
Let o = -34/179 - 196585/716. Let a = o - -275. Suppose -a*x**3 - 1/4 - 3/4*x**2 - 3/4*x = 0. What is x?
-1
Let g(z) be the second derivative of z**6/90 + z**5/15 - z**4/9 - 8*z**3/9 - 626*z + 5. Factor g(k).
k*(k - 2)*(k + 2)*(k + 4)/3
Let t be 1587/(-5290) - 879/(-10)*2. Factor -t*c - 3/2*c**3 + 507 - 36*c**2.
-3*(c - 2)*(c + 13)**2/2
Let g be -1*((-3 - 1) + 1). Factor 8 - 30*r**2 + 34 - 15*r + 20 - 5*r**g - 12.
-5*(r - 1)*(r + 2)*(r + 5)
Suppose -3*v + 135 = 5*u, -v + 5*u + 18 = -7. Let p be 16/(-128) - (-53)/v. Factor p*b**3 + 0 + 4/5*b**2 - 9*b**4 + 0*b + 81/10*b**5.
b**2*(3*b - 2)**2*(9*b + 2)/10
Suppose -621*i + 579*i + 126 = 0. Factor -45/7*d**i - 27/7*d**2 + 0 - 3*d**4 - 3/7*d.
-3*d*(d + 1)**2*(7*d + 1)/7
Let t = 11676/5 - 70051/30. Factor 3*d**2 + t*d**5 + 0*d**4 - 11/6*d**3 + 0 - 4/3*d.
d*(d - 2)*(d - 1)**2*(d + 4)/6
Suppose 30*u - 18 = 21*u. Find c, given that -u*c**3 + 95*c - 204*c**2 + 18*c**4 + c**3 - 2*c**3 + 167*c + 86*c - 144 = 0.
-4, 2/3, 3/2, 2
Let a(x) = -26*x**2 - 8*x + 3*x**2 - 8*x**3 + 5*x**2 + 4 + 6*x**2. Let q(g) = g**4 + 17*g**3 + 24*g**2 + 15*g - 7. Let j(r) = -7*a(r) - 4*q(r). Factor j(z).
-4*z*(z + 1)**3
Let s = 676 + -729. Let u be 30/(-14) - (s - -50). Solve -12/7*q**2 + 3/7*q**3 + 15/7*q - u = 0.
1, 2
Let o(y) = -29*y**2 - 2612*y + 5340. Let w(g) = -19*g**2 - 1742*g + 3560. Let q(z) = -9*o(z) + 14*w(z). Factor q(d).
-5*(d - 2)*(d + 178)
Let a be (-13)/(-8)*4/26. Let t(k) be the second derivative of -a*k**3 + 1/40*k**5 + 0 + 1/2*k**2 + 4*k + 0*k**4. Solve t(n) = 0 for n.
-2, 1
Factor 92*o**2 - 42*o**2 - 48*o**2 - 24*o - 576.
2*(o - 24)*(o + 12)
Find z, given that -4*z**5 - 192*z**4 - 729*z**3 + 393 + z**5 - 90*z + 697*z + 327 - 528*z**2 + 125*z = 0.
-60, -2, -1, 1
Suppose 77/2*b - 1/2*b**2 + 162 = 0. Calculate b.
-4, 81
Let -111*j**2 - 435 + 1107 - 118*j + 2*j**3 + 4*j**3 - 5*j**3 = 0. Calculate j.
-3, 2, 112
Let c(y) = 2*y**2 + y - 5. Let p(o) = 2*o**3 - 3144*o**2 + 1622388*o - 281215940. Let z(l) = 12*c(l) + p(l). Factor z(n).
2*(n - 520)**3
Let h(i) be the third derivative of 7/15*i**3 - 1/8*i**4 - 86*i**2 + 0 + 1/300*i**5 + 0*i. Let h(l) = 0. What is l?
1, 14
Let u(p) = 2*p**2 + p + 3. Let v(n) = -15*n**2 + 45*n - 121. Let a(i) = -28*u(i) - 4*v(i). Factor a(w).
4*(w - 50)*(w - 2)
Factor 2*g**2 + 366 - 566*g - 174*g + 238*g + 134.
2*(g - 250)*(g - 1)
Suppose 12 = -9*t + 15*t. Suppose -t*i = 3*g - 6 - 39, -3*i - 3*g + 60 = 0. Solve -4*b + 35*b - 4*b**3 - i*b = 0 for b.
-2, 0, 2
Factor 5*m**5 + 15*m - 118*m**4 - 28*m**3 - 64*m**2 + 14*m**2 + 88*m**4 + 88*m**3.
5*m*(m - 3)*(m - 1)**3
Suppose -10*i + 19 = -1. Let x be 2/21 - ((-32)/(-168))/i. Factor x + 9/2*d - 3/2*d**2.
-3*d*(d - 3)/2
Let r(v) be the second derivative of -9*v**7/14 + 93*v**6/10 - 42*v**5 + 49*v**4 + 29*v - 24. Determine n, given that r(n) = 0.
0, 1, 14/3
Suppose 22*g + 18*g = 160. Factor -204*k**3 - 10*k + 84*k - 5*k**g - 24*k**2 + 159*k**3 + 51*k - 51*k**2.
-5*k*(k - 1)*(k + 5)**2
Let z(d) = -3*d**4 + 440*d**3 + 896*d**2 + 460*d. Let h(s) = s**4 - 147*s**3 - 299*s**2 - 153*s. Let r(k) = 21*h(k) + 6*z(k). Factor r(j).
3*j*(j - 151)*(j + 1)**2
Let c(i) be the third derivative of -i**7/42 + 31*i**6/24 + 67*i**5/12 - 155*i**4/24 - 55*i**3 + 24*i**2 + 6. Suppose c(p) = 0. What is p?
-2, -1, 1, 33
Solve -4253 + 3304*k + 4*k**2 - 3132 + 2564 + 11413 = 0.
-824, -2
Let k = 402659 - 2824295/7. Let t = 822 + k. Suppose -33/7*z**2 + 108/7 - 3/7*z**3 - t*z = 0. Calculate z.
-6, 1
Let c(y) be the first derivative of -y**4/6 + 130*y**3/3 + 131*y**2 + 394*y/3 - 87. Factor c(v).
-2*(v - 197)*(v + 1)**2/3
Let m(s) be the second derivative of -s**5/60 - 5*s**4/12 - 8*s**3/3 + 59*s**2/2 - 28*s + 1. Let f(i) be the first derivative of m(i). Solve f(b) = 0 for b.
-8, -2
Let 176*n**2 - n**5 - 79*n**2 - 671*n**4 + 298*n**2 + 1064*n**4 + 789*n**3 + 0*n**5 = 0. What is n?
-1, 0, 395
Let j(a) = 124 + 64*a - 22*a - 47*a. Let u be j(24). Factor -5/2*s**u + 15/2*s**3 + 0*s - 5*s**2 + 0.
-5*s**2*(s - 2)*(s - 1)/2
Let u be -1*(10/(-3))/((-2)/(-3)). Suppose -18 + 38 = u*o. Factor 2*z**o - 7*z**3 + 12*z**3 + 2*z**4 + 4*z**5 - 4*z**3.
z**3*(2*z + 1)**2
Let h(a) be the second derivative of -a**6/105 - 27*a**5/10 - 567*a**4/2 - 11907*a**3 + 532*a. Factor h(g).
-2*g*(g + 63)**3/7
Let s be 98/245 - 8/60. Let r(m) be the first derivative of -1/10*m**4 + 1/5*m**2 - 30 + 4/5*m - s*m**3. Find i such that r(i) = 0.
-2, -1, 1
Let b(y) = 3*y**2 - 68*y + 67. Let q be b(42). Let x = q + -22463/9. Determine t so that 1/9*t**2 + 16/9*t + x = 0.
-8
Let h(d) be the third derivative of d**5/15 + 938*d**4/3 + 1759688*d**3/3 + 328*d**2 - d. Factor h(q).
4*(q + 938)**2
Let t be (0/(-220))/(((-8)/4)/(-2)). Let k = -22/119 + 8/17. Determine n, given that -k*n**3 + 0*n**2 + t - 2/7*n**5 - 5/7*n**4 + 0*n = 0.
-2, -1/2, 0
Suppose -63 + 1/4*c**2 - 19/4*c = 0. Calculate c.
-9, 28
Let p(h) be the second derivative of -1/6*h**4 + 32/3*h**3 - 256*h**2 + 47*h + 0. Determine f so that p(f) = 0.
16
Factor -2/5*g**2 + 78*g + 0.
-2*g*(g - 195)/5
Suppose 57*i - 1/3*i**4 + 5/3*i**3 + 23*i**2 + 36 = 0. Calculate i.
-3, -1, 12
Let d(q) be the second derivative of -3*q**5/20 +