37 - -18. Let u = i - -23. What is z in z + u - 2*z**3 - 6 + z**3 - 3*z**2 + 5 = 0?
-3, -1, 1
Let v be (424 - -8)/4 - -5. Find m, given that -114*m**2 - 4*m + v*m**2 + 8*m = 0.
0, 4
Let b be -35 + 36 - 158/(-2). Suppose -47*k + 14 = -b. Factor 18/5 + 44/5*a**k - 16/5*a**3 + 2/5*a**4 - 48/5*a.
2*(a - 3)**2*(a - 1)**2/5
What is y in -2/3*y**4 - 2*y**2 - 40/3 + 14/3*y**3 - 62/3*y = 0?
-1, 4, 5
Let y(x) = -36*x**3 + 574*x**2 + 1573*x + 287. Let d(q) = -18*q**3 + 284*q**2 + 786*q + 142. Let h(f) = 11*d(f) - 6*y(f). Factor h(m).
2*(m - 20)*(m + 2)*(9*m + 2)
Factor 123/2 - 61/2*r - 1/8*r**2.
-(r - 2)*(r + 246)/8
Let p(j) be the first derivative of -j**6/4 + 3*j**5/2 + 309*j**4/8 + 319*j**3/2 + 117*j**2/2 - 756*j - 319. Solve p(k) = 0.
-4, -3, 1, 14
Suppose -207 + 79 - 29 - 158 - b**2 - 2*b**2 - 66*b = 0. What is b?
-15, -7
Let s(a) be the second derivative of -a**6/135 - 122*a**5/15 - 67343*a**4/27 - 89060*a**3/9 - 133225*a**2/9 + 5788*a. Factor s(z).
-2*(z + 1)**2*(z + 365)**2/9
Let w(v) be the second derivative of -v**4/20 + 3*v**3/5 + 21*v**2/10 - 4*v + 77. Factor w(h).
-3*(h - 7)*(h + 1)/5
Let -200*v + 248832*v**2 + 1728*v**3 + 559*v - 359*v + 3*v**4 = 0. What is v?
-288, 0
Let 3716/5*u**2 - 372*u - 4/5*u**4 + 0 - 1852/5*u**3 = 0. Calculate u.
-465, 0, 1
Let b(m) = -2*m**2 + 52*m + 6. Suppose -2*i - 114 = -136. Let q(j) = 3*j**2 - 104*j - 11. Let n(s) = i*b(s) + 6*q(s). Find c, given that n(c) = 0.
-13, 0
Let x(q) be the third derivative of q**8/1680 + 4*q**7/75 + 133*q**6/120 - 1651*q**5/150 + 73*q**4/2 - 60*q**3 + 418*q**2. Suppose x(h) = 0. What is h?
-30, 1, 2
Let h be (-5831)/245 + 49 - 25. Let -h*a**2 + 6/5 + 1/5*a = 0. What is a?
-2, 3
Let h be 80/12*(-27)/2. Let q be 124/30 - (-12)/h. Solve -3*f**4 + 3*f**4 + 1 - 4*f + q*f**4 - 4*f**5 + 8*f**3 - 2*f**2 - 3*f**4 = 0.
-1, 1/4, 1
Let 2*j**5 + 0 - 202/7*j**2 - 62/7*j**4 - 222/7*j**3 - 8*j = 0. What is j?
-1, -4/7, 0, 7
Let c = 131 - 90. Let t = c - 38. Factor 2*f**t + 2*f**2 + 291 - 291 - f**3.
f**2*(f + 2)
Let j(r) be the third derivative of r**5/15 - 89*r**4/3 + 15842*r**3/3 - 1318*r**2. Find c, given that j(c) = 0.
89
Let o(b) be the first derivative of b**4/6 - 38*b**3/9 - b**2/3 + 38*b/3 + 607. Factor o(g).
2*(g - 19)*(g - 1)*(g + 1)/3
Let -140*h - 110*h + 9*h**4 - 104*h + 30*h + h**4 + 1138*h**2 - 824*h**3 = 0. Calculate h.
0, 2/5, 1, 81
Let t(n) be the second derivative of 1/20*n**4 + 37*n + 1 - 1/5*n**3 - 9/10*n**2. Factor t(d).
3*(d - 3)*(d + 1)/5
Let f(k) = -12*k**2 + 326*k - 236. Suppose 122*l - 115*l - 42 = 0. Let b(y) = 27*y**2 - 651*y + 474. Let r(j) = l*b(j) + 13*f(j). Determine z so that r(z) = 0.
-56, 2/3
Let x(c) be the first derivative of -116 - 12*c**2 - 23*c - 1/3*c**3. Suppose x(i) = 0. What is i?
-23, -1
Let b(o) be the third derivative of o**5/60 - 221*o**4/12 + 48841*o**3/6 + 894*o**2. Solve b(v) = 0 for v.
221
Let m(j) be the first derivative of 26/3*j**3 + 10*j**4 + 2*j**2 + 38 + 0*j + 18/5*j**5. Determine z, given that m(z) = 0.
-1, -2/9, 0
Let y be ((-416)/(-65))/16*(-60)/(-12). Let -114*m**3 + 75/2*m**5 + 24 - 144*m - 135/2*m**4 + 264*m**y = 0. Calculate m.
-2, 2/5, 1, 2
Let a(y) be the first derivative of y**8/1344 - y**6/480 - 3*y**2/2 - 13*y + 93. Let p(l) be the second derivative of a(l). Suppose p(b) = 0. Calculate b.
-1, 0, 1
Let o(l) = 6*l**5 + l**4 - 42*l**3 - 15*l**2 + 43*l - 7. Let y(h) = 3*h**5 - 21*h**3 - 6*h**2 + 21*h - 3. Let s(w) = 3*o(w) - 7*y(w). Solve s(d) = 0.
-2, -1, 0, 1, 3
Find q, given that 0 - 40/3*q**2 - 1/3*q**3 + 41/3*q = 0.
-41, 0, 1
Let r(s) be the second derivative of -1 - 53*s - 3/16*s**2 - 3/40*s**5 + 1/4*s**3 + 1/32*s**4. Let r(t) = 0. What is t?
-1, 1/4, 1
Suppose -d + 4*d - 4*d = 0. Suppose d = 16*o - 13*o - 2*c, -2*o + 3*c = 0. Suppose 0*l - 1/3*l**4 + 0 + 1/3*l**2 + o*l**3 = 0. Calculate l.
-1, 0, 1
Let -14881/3*s**2 - 242/3*s**3 - 9680*s - 4800 - 1/3*s**4 = 0. Calculate s.
-120, -1
Let b = -333718 + 333720. Find k such that 126 - 2/7*k**3 - 82/7*k**b - 114*k = 0.
-21, 1
Let a be 204/3 + -6*(-4)/(-8). Factor 9*s**2 + 104*s - a + 6*s**2 + 22*s + 64*s.
5*(s + 13)*(3*s - 1)
Let n(o) = -13*o**3 - 15*o**2 + 4*o**3 - 7 - 5 + 11*o**3 - 44*o - 12*o**2. Let c be n(15). Factor 0 + 24/11*b + 6/11*b**c - 40/11*b**2.
2*b*(b - 6)*(3*b - 2)/11
Factor -1024/3*k - 2/3*k**4 - 68/3*k**3 + 0 - 640/3*k**2.
-2*k*(k + 2)*(k + 16)**2/3
Let r(d) be the third derivative of -d**5/450 + 76*d**4/45 - 47*d**2 + 12. Determine s so that r(s) = 0.
0, 304
Suppose -99*v**3 + 177*v**2 + 45/2*v**4 - 3/2*v**5 + 81/2 - 279/2*v = 0. What is v?
1, 3, 9
Let i be 3 - (-6628)/(-828) - -5. Let p = i - -139/207. Solve -16/21*n + 10/21*n**3 + 8/21 - p*n**2 = 0.
-1, 2/5, 2
Let p be (-1015)/(-49) + -4 - 2529/281. Find m such that 3*m**3 - p*m**2 + 3/7*m**5 + 30/7*m**4 + 0 + 0*m = 0.
-9, -2, 0, 1
Let t(z) be the third derivative of 1/180*z**6 - z**2 - 1/48*z**4 + 1/18*z**3 - 1/2016*z**8 + 0*z**7 + 0*z + 6 - 1/180*z**5. Factor t(n).
-(n - 1)**3*(n + 1)*(n + 2)/6
Let j be 60/(-50)*(-8 + 6)/(-24)*-15. Suppose -j*p - 1/4*p**2 - 9/4 = 0. Calculate p.
-3
Let m(h) be the second derivative of -2*h**7/21 - 2*h**6/5 + 34*h**5/5 - 52*h**4/3 - 16*h**3 + 128*h**2 - 989*h. Factor m(s).
-4*(s - 2)**3*(s + 1)*(s + 8)
Let i be (-4 - (4 - 7))/4*408/(-85). Let d(c) be the first derivative of -17/20*c**4 + 3/25*c**5 + 2*c**3 + 33 - i*c**2 - 8/5*c. Let d(m) = 0. Calculate m.
-1/3, 2
Suppose 5*c + 191 = 7*x - 4*x, -4*x - c + 224 = 0. Let s = x - -45. Factor 15*j**2 - 10 - s*j - 111*j + 188*j.
5*(j - 2)*(3*j + 1)
Let t = -242 + 245. Factor 2*r**2 + 4*r**t + 3*r**2 - 9*r**2.
4*r**2*(r - 1)
Let f(u) be the third derivative of -u**7/1050 - 31*u**6/120 + 313*u**5/300 - 157*u**4/120 - 2*u**2 - 419*u. What is h in f(h) = 0?
-157, 0, 1
Suppose 44 = -3016*j + 3012*j, -50 = h + 5*j. Determine u, given that 20 - 5/2*u**2 + h*u = 0.
-2, 4
Let h(g) = g**2 - 2*g + 2. Let r(a) = a**2 - a + 1. Let i(f) = -3*h(f) + 7*r(f). Let y be i(1). Find d, given that 2*d**5 + y*d - 89 + 89 - 8*d**3 + 2*d**5 = 0.
-1, 0, 1
Let n be 2/1 + -2 - (-9 - -7). Suppose 0 = 2*z + n*t - 22, 8*z - 3*t = 3*z + 63. Suppose -15*f**4 - 19*f**2 + f**3 - 29*f**3 - z*f**3 - f**2 = 0. Calculate f.
-2, -2/3, 0
Let r(w) be the second derivative of 328*w**5/5 + 98*w**4/3 - 238*w**3/3 - 12*w**2 + 2853*w. Determine v so that r(v) = 0.
-3/4, -2/41, 1/2
Find h such that 22*h + 2700 - 71160341*h**2 + 53*h + 71160338*h**2 = 0.
-20, 45
Let c(f) be the third derivative of -3*f**6/100 - 301*f**5/10 - 3007*f**4/60 - 167*f**3/5 - 2767*f**2. Factor c(w).
-2*(w + 501)*(3*w + 1)**2/5
Let o = -3787/45 + 421/5. Let u(h) be the second derivative of -2/9*h**4 + 0*h**2 - o*h**6 - 26*h + 0*h**3 + 0 + 1/5*h**5. Determine b, given that u(b) = 0.
0, 1, 2
Let d(z) = -8*z**2 - 2563*z - 1299. Let m(y) = -27*y**2 - 7682*y - 3896. Let p(s) = 19*d(s) - 6*m(s). Factor p(l).
5*(l - 261)*(2*l + 1)
Let r = -103 - -61. Let f = 52 + r. Suppose 37*u**3 + 12 + 19*u - f*u**3 - 75*u**2 + 17*u = 0. What is u?
-2/9, 1, 2
Let m be 22/14 + (-12)/(-28). Let j be 3 + -6 + (32/6 - m). Solve 4/3 - g**2 + 0*g - j*g**3 = 0 for g.
-2, 1
Let y be 83/(-830)*((-380)/(-30) - 13)*(-1 + 16). Solve y*a**2 + 2*a**3 - 8*a - 1/2*a**4 + 6 = 0.
-2, 1, 2, 3
Let w = 57 - 40. Factor 503*i - 523*i - 4*i**2 - 7 + 14 + w.
-4*(i - 1)*(i + 6)
Let i(n) be the second derivative of n**4/36 + 19*n**3/2 - 1345*n. Let i(u) = 0. Calculate u.
-171, 0
Factor -1703*m**3 + 3247*m**3 + 210*m + 159 + 5*m**4 - 1754*m**3 + 56 - 220*m**2.
5*(m - 43)*(m - 1)*(m + 1)**2
Factor -670810 - 1036*h - 2/5*h**2.
-2*(h + 1295)**2/5
Let f(u) = 5*u - 98. Let t be f(25). Solve -t - 112*r**3 + 247*r**3 - 579*r**2 + 177*r**3 + 234*r - 48*r**4 = 0 for r.
1/4, 3
Let y(v) = v**3 - 8*v**2 - v + 11. Let b be y(8). Suppose -b*z + 564 = z. Factor z*s**3 - 139*s**3 - s**2 + 3*s**2.
2*s**2*(s + 1)
Suppose 18 = 6*k - 6. Solve k*r**4 - 17*r**2 - 16*r**4 - 23*r**2 + 92*r**3 + 32*r**4 = 0.
-5, 0, 2/5
Let z be (-3)/8 - 3914/1648 - 626/(-24). Suppose 8*s**3 + 2/3*s**4 + z*s**2 - 8*s - 24 = 0. What is s?
-6, -1, 1
Factor 0 + 64/17*w**2 + 0*w + 2/17*w**3.
2*w**2*(w + 32)/17
Let u(d) be the first derivative of -19 + 0*d - 2/3*d**3 - 3*d**2. Factor u(h).
-2*h*(h + 3)
Let a(z) be the second derivative of z**4/120 + 27*z**3/20 + 4*z**2 + 1285*z. Let a(r) = 0. Cal