w) - 2*l(w). Find a such that k(a) = 0.
-2, -1, 2
Let d = 31279/171 - 3467/19. Factor -52/9 + 56/9*n - d*n**2.
-4*(n - 13)*(n - 1)/9
Let p(o) = 3*o**3 - 459*o**2 - 1454*o - 972. Let i(w) = 12*w**3 - 1827*w**2 - 5817*w - 3888. Let g(a) = -2*i(a) + 9*p(a). Suppose g(c) = 0. What is c?
-2, -1, 162
Let m(a) = -25*a**5 - 227*a**4 - 599*a**3 - 592*a**2 - 189*a + 3. Let d(f) = 4*f**4 + f**3 - f - 1. Let v(z) = -6*d(z) - 2*m(z). Let v(r) = 0. What is r?
-4, -3, -4/5, 0
Let f be 11/((-77)/(-987)) - 0/1. Let p = 143 - f. Factor 0 - 2/5*i**p - 2/5*i.
-2*i*(i + 1)/5
Suppose 5*t = 2*g + 4*t + 158, -3*g - 211 = 5*t. Let u = -75 - g. Solve -4/5*b**u + 24/5*b**3 + 0 + 0*b = 0.
0, 1/6
Let s = 74230 + -74227. Determine a so that -1/2*a**s + 3/2 + 1/2*a - 3/2*a**2 = 0.
-3, -1, 1
Suppose -4*h + 5*u = -95 + 137, -h + 12 = u. Factor 0 + 6/11*q**3 - 156/11*q**h + 1014/11*q.
6*q*(q - 13)**2/11
Let d = -1005024 - -7035204/7. Factor d*w + 27/7*w**3 + 5/7*w**4 + 8/7 + 50/7*w**2.
(w + 1)*(w + 2)**2*(5*w + 2)/7
Suppose -5*h = -2*b + 5*b - 407, -4*h = -4*b + 564. Let g be b/45 - (-14)/126. Factor -32/5*p + g - 4/5*p**3 + 4*p**2.
-4*(p - 2)**2*(p - 1)/5
Let x(k) be the third derivative of -k**5/330 + 107*k**4/132 - 70*k**3/11 - 348*k**2. Find c, given that x(c) = 0.
2, 105
Suppose 2*p + 2 - 8 = 0. Let x be 10/(-4)*-6*5/15. Factor -x*q + 10*q**p + 5*q - 9*q**3.
q**3
Let 2/5*v**2 + 414/5 - 144/5*v = 0. Calculate v.
3, 69
What is t in 609/4*t - 3/4*t**2 + 615/2 = 0?
-2, 205
Let s = -832 + 916. Suppose -5*m + s = 16*m. What is d in -9/7*d**m + 3/7*d**5 + 0 + 0*d + 9/7*d**3 - 3/7*d**2 = 0?
0, 1
Let p(d) be the second derivative of -d**3/6 + 2*d**2 - 25*d. Let i be p(0). Factor 0*u**4 + 3*u + 3*u - 6*u**3 - 3*u**2 - 2*u**4 + 5*u**i.
3*u*(u - 2)*(u - 1)*(u + 1)
Let x(r) = -14*r**3 + 16*r**2 + 74*r + 32. Let c(l) = 29*l**3 - 33*l**2 - 148*l - 60. Let b(n) = 6*c(n) + 13*x(n). Let b(j) = 0. Calculate j.
-7/4, -1, 4
Let t(b) be the first derivative of -b**4/4 - 3*b**3 - 27*b + 9. Let s(a) be the first derivative of t(a). Factor s(h).
-3*h*(h + 6)
Let w be (-186)/(-465) + 32/70. Factor 2/7*s**3 + 12/7*s**2 + w*s - 20/7.
2*(s - 1)*(s + 2)*(s + 5)/7
Let k(i) be the first derivative of -45*i**4/4 + 1445*i**3/3 - 5840*i**2 + 1280*i - 3391. Factor k(c).
-5*(c - 16)**2*(9*c - 1)
Let u(a) = 25*a**2 - 3275*a - 2225. Let s(r) = -13*r**2 + 1638*r + 1110. Let b(x) = 5*s(x) + 2*u(x). Factor b(k).
-5*(k - 110)*(3*k + 2)
Let r(h) = h + 1. Let u(t) = 337 + t**3 - 163 - 169 + 5*t - 2*t**2. Let b be 0 - -7 - (-2 + -1). Let k(c) = b*r(c) - 2*u(c). Find f, given that k(f) = 0.
0, 2
Let f(g) be the first derivative of -4*g**3/3 + 1320*g**2 - 435600*g + 3743. Factor f(p).
-4*(p - 330)**2
Let v(q) be the third derivative of 0*q**3 + 0*q - 1/120*q**4 - 1/150*q**6 + 0 - 35*q**2 - 1/60*q**5. Let v(f) = 0. What is f?
-1, -1/4, 0
Let h = -49477 + 49480. Solve 0*y + 0 + 9/5*y**h - 6/5*y**2 - 3/5*y**4 = 0.
0, 1, 2
Let f(w) be the third derivative of -1/945*w**7 + 0*w + 0*w**3 + 1/180*w**6 - 1/90*w**5 - 12 - 2*w**2 + 1/108*w**4. Factor f(u).
-2*u*(u - 1)**3/9
Suppose 3*m - 5*z + 216 = -z, 5*z - 289 = 4*m. Let s = 81 + m. Determine o, given that 598 - 598 - s*o**4 = 0.
0
Let w(v) be the third derivative of v**8/60 + 73*v**7/525 - 27*v**6/50 + 89*v**5/150 - 7*v**4/30 + 343*v**2 + v. Solve w(j) = 0.
-7, 0, 2/7, 1/2, 1
Let 5/2*q**2 + 4/3*q + q**3 + 0 - 1/6*q**4 = 0. What is q?
-1, 0, 8
Let t(q) = -164*q**2 + 174*q**2 + 5*q + 19*q. Let h(j) = -12*j**2 - 24*j. Let u(d) = -4*h(d) - 5*t(d). Determine g so that u(g) = 0.
-12, 0
Suppose -5*h + 4*m + 79 = -4*h, 3*m = -h + 65. Suppose 9*s**3 + h*s**4 - 41*s**4 - 9*s**3 - 55*s**5 = 0. What is s?
0, 6/11
Let d(b) be the third derivative of b**6/210 - 2*b**5/35 - 26*b**4/21 + 80*b**3/7 + 920*b**2. Factor d(t).
4*(t - 10)*(t - 2)*(t + 6)/7
Suppose 4*l + 10 = -40 + 50. Let w(o) be the first derivative of -12 + 1/2*o**4 - 2/5*o**5 - 1/3*o**6 + l*o + 0*o**2 + 2/3*o**3. Find y such that w(y) = 0.
-1, 0, 1
Suppose -2*l - 6 = l. Let q be (-1)/l*-6 - -5. Factor d**5 - 645*d**3 - 2*d + q*d - 4*d**2 + d**4 + 641*d**3.
d**2*(d - 2)*(d + 1)*(d + 2)
Let b(u) = u**2 - 7*u + 3. Let n(o) = -4*o - 37. Let w be n(-11). Let y be b(w). Find t, given that 0*t**2 - 2*t**3 + 10*t**y + 12*t**2 - 5*t**3 + 12*t = 0.
-2, 0
Let q(g) = 26*g**3 - 3312*g**2 + 228528*g - 7. Let u(l) = -18*l**3 + 2208*l**2 - 152352*l + 5. Let w(t) = 5*q(t) + 7*u(t). Factor w(h).
4*h*(h - 138)**2
Let g(d) be the third derivative of 0*d + 1/15*d**7 + 152*d**2 + 8/3*d**3 + 1/12*d**4 - 1/2*d**5 + 0 - 1/60*d**6. Factor g(y).
2*(y - 1)*(y + 1)**2*(7*y - 8)
Let v = -10401/161 - -1591/23. Factor -32/7*o - 2/7*o**4 + 0*o**2 + 8/7*o**3 + v.
-2*(o - 2)**3*(o + 2)/7
Suppose 0 = -3*d - 5*r + 3 + 4, 16 = 5*d + 4*r. Find k such that 21*k**4 - 69*k**3 - 125*k + 129*k**2 - 9*k**d + 27 + 26*k = 0.
3/4, 1, 3
Determine t, given that 0*t**2 - 2/15*t**5 + 0*t**3 + 16/5*t**4 + 0*t + 0 = 0.
0, 24
Factor -263/2*d + 1/4*d**2 + 262.
(d - 524)*(d - 2)/4
Suppose 10 = 15*u - 10*u. Suppose 0 = 4*i + 4*n, 2*n - u = -4*i + i. Suppose -3*v**3 - i*v**2 - 23*v**2 + 7*v**2 = 0. What is v?
-6, 0
Let n = 440 - 442. Let s(u) = 6*u**2 - 5*u. Let q(a) = 3*a**2 + 0*a + 0*a - a - a. Let c(l) = n*s(l) + 5*q(l). Factor c(w).
3*w**2
Let l(u) be the first derivative of 3*u**5/35 - 93*u**4/28 + 150*u**3/7 + 1506*u**2/7 + 3432*u/7 + 12688. Solve l(a) = 0.
-2, 13, 22
Let v(u) be the first derivative of 1/2*u**3 + 21 + 0*u - 5/8*u**2 - 1/16*u**4. Determine p so that v(p) = 0.
0, 1, 5
Let f(n) = 7*n**3 - 1400*n**2 + 7*n - 1396. Let m be f(200). Suppose -2/5*w**3 + 4/5*w + 6/5*w**m + 0 - 6/5*w**2 - 2/5*w**5 = 0. What is w?
-1, 0, 1, 2
Find c, given that -4/5*c**4 + 456/5*c - 256/5*c**2 - 252/5 + 56/5*c**3 = 0.
1, 3, 7
Let f(s) be the third derivative of -s**6/360 - s**5/6 - 19*s**4/8 - 115*s**3/9 - 56*s**2. Solve f(b) = 0 for b.
-23, -5, -2
Suppose -5467*o**2 + 105*o - 32 + 5509*o**2 - 25 - 102*o**3 - 18 + 22*o**4 - 3*o**5 + 11*o**4 = 0. Calculate o.
-1, 1, 5
Let s(m) = -1690*m**2 - 8471*m - 103. Let p be s(-5). Factor 2/3*r**p - 538/9*r - 20.
2*(r - 90)*(3*r + 1)/9
Factor -174*h - 2/7*h**2 - 1216/7.
-2*(h + 1)*(h + 608)/7
Let d = -55571 + 55575. Suppose 1015/3*m**2 + 25/3*m**d + 235/3*m**3 + 1/3*m**5 + 1372/3 + 1960/3*m = 0. Calculate m.
-7, -2
Let a be -5 - (18/(-9) + 1522/(-568)). Let f = -5/71 - a. Factor f*d**2 + 0*d + 3/4*d**4 - 1/4*d**5 + 0 - 3/4*d**3.
-d**2*(d - 1)**3/4
Let c(h) be the second derivative of -h**4/12 + 358*h**3/3 - 384*h - 3. Suppose c(y) = 0. Calculate y.
0, 716
Suppose 0*p + 4*c = p + 57, 0 = 4*p - 5*c + 239. Let x = 65 + p. Factor -12*n**4 - 16*n**2 - 36*n + 2*n**x - 13*n**3 + 76*n**2 - n**5.
-n*(n - 1)**2*(n + 6)**2
Let s be (56742/(-441) - -128)*(-6)/16. Suppose 9/2*q**2 - 17/2 + 15/4*q + s*q**3 = 0. Calculate q.
-17, -2, 1
Let v = 6/59875 + 59851/239500. Factor 0 - v*f**2 - 5/4*f.
-f*(f + 5)/4
Suppose -2*f - 2*c + 0 = 2, -4*f + 4*c = -28. Factor f*z**2 - 7*z**2 + 2*z + 5*z**2.
z*(z + 2)
Let w(i) be the third derivative of -21*i**6/50 + 19*i**5/100 + 3*i**4/40 - i**2 + 426*i. Factor w(v).
-3*v*(3*v - 1)*(28*v + 3)/5
Let f = -3828 + 3832. Let r be (-4)/(64/(-20)) + 12/16. Solve 49/3*x - 21*x**r + 0 - 1/3*x**f + 5*x**3 = 0 for x.
0, 1, 7
Factor -669*b + 747 - 747 + 25*b**2 + 5*b**3 - 831*b.
5*b*(b - 15)*(b + 20)
Let u(s) be the second derivative of 19 + 1/3*s**4 - 12*s**2 + 2/3*s**3 + 2*s. Determine x so that u(x) = 0.
-3, 2
Let p(v) be the third derivative of v**10/10080 - v**9/1680 + v**7/210 + 13*v**4/6 + v**2 - 10*v. Let d(t) be the second derivative of p(t). Factor d(q).
3*q**2*(q - 2)**2*(q + 1)
Suppose -66 - 19 = -5*x + 5*c, 0 = -0*c + 4*c - 28. Solve -891/2*a**4 - x*a + 108*a**2 + 363*a**5 - 3/2*a**3 + 0 = 0 for a.
-1/2, 0, 4/11, 1
Suppose 4*v - 37*r = -38*r + 10, -12*r + 30 = 3*v. Factor 8/7*h**v + 20/7*h - 4/7*h**3 - 24/7.
-4*(h - 3)*(h - 1)*(h + 2)/7
Let c = 450 - 447. Factor -j**3 + j + 22*j**2 - 9*j**2 - 5*j**2 - c - 5*j**2.
-(j - 3)*(j - 1)*(j + 1)
Let k = 150/637 + -4/49. Let m be -12*(-11)/165 - (-2)/(-65). Let m - 12/13*z + k*z**2 = 0. What is z?
1, 5
Let k be -7*(-24)/(-2268)*6/514. Let b = 76325/4626 - k. Find d such that -18*d**2 + 3/2 - b*d = 0.
-1, 1/12
Let f be 9/10*((-3 - 2675/(-75)) + (-110)/5). Factor -1/5*i**3 + f - 23/5*i**