 y in g(y) = 0?
-1/8, 2
Let u(s) be the second derivative of 5*s**4/12 + 2945*s**3/6 + 622*s + 6. Let u(l) = 0. Calculate l.
-589, 0
Factor -2*x**2 - 32/7*x - 24/7 - 2/7*x**3.
-2*(x + 2)**2*(x + 3)/7
Factor -2 - 515*f + 1059*f**2 - 527*f**2 + 2 - 527*f**2.
5*f*(f - 103)
Suppose 2654/3*m - 1760929 - 1/9*m**2 = 0. What is m?
3981
Let p = 437014 + -2185052/5. Factor -p - 12/5*c**2 - 3/5*c**3 + 33/5*c.
-3*(c - 1)**2*(c + 6)/5
Let p(q) = 6*q**2 - 4926*q - 4852. Let w(n) = 5*n**2 - 4926*n - 4871. Let v(l) = -3*p(l) + 4*w(l). Suppose v(b) = 0. Calculate b.
-1, 2464
Let s be 48/8 - (1 - -5). Let m(y) be the second derivative of 14*y - 1/4*y**5 + 0*y**2 + s - 5/18*y**3 + 1/18*y**6 + 5/12*y**4. Factor m(k).
5*k*(k - 1)**3/3
Suppose 6*i = 5*b - 38 - 304, -148 = -3*b + i. Find l such that -39/2*l + b - 3/4*l**2 = 0.
-28, 2
Suppose 0 = -5*x + 3*m + 8 + 6, 4*m = -4*x + 24. Suppose 2 = -x*s + 14. Factor 0*w + 0 + 1/3*w**s + 1/3*w**2.
w**2*(w + 1)/3
Let f(u) be the first derivative of -80 + 0*u - 10*u**2 - 28/3*u**3. Factor f(j).
-4*j*(7*j + 5)
Suppose -3*h + 30 = -36. Let f = 29 - h. Determine g so that 27*g + 72 + 4*g - f*g + 2*g**2 = 0.
-6
Let b be 552/36 - (-2)/3. Find u such that 6*u**4 + 324 - 38*u**3 + 449*u - 27*u**2 + b*u**3 + 199*u - 29*u**3 = 0.
-3, -1/2, 6
Let x be -10 + 2400/56 + 0 - 2. Solve -1467/7*g**3 - 75/7*g**5 - 1842/7*g**2 - 540/7*g**4 - 1044/7*g - x = 0.
-2, -3/5
Suppose -7070*j = -7085*j + 195. Let k(q) be the first derivative of -6*q - j + 3/2*q**2 + q**3. Suppose k(r) = 0. What is r?
-2, 1
Suppose -17*x = 3*x. Let s(d) be the first derivative of -15/16*d**4 - 2 + x*d - 3/4*d**2 - 7/4*d**3. Factor s(c).
-3*c*(c + 1)*(5*c + 2)/4
Factor 72*y + 0*y**4 + 332*y**3 - y**4 + 68*y**2 - 318*y**3.
-y*(y - 18)*(y + 2)**2
Let g be (-3)/(2/(15 + -17)). Let l(z) be the second derivative of -18*z - 9/5*z**2 + 0 + 7/10*z**g + 1/100*z**5 - 2/15*z**4. Factor l(c).
(c - 3)**2*(c - 2)/5
Let l(x) be the second derivative of 25/72*x**4 + 0 - 1/4*x**5 + 0*x**3 + 0*x**2 + 47*x + 1/36*x**6. Solve l(k) = 0.
0, 1, 5
Suppose 1453 + 359 = 906*w. Factor 0 + 0*k**w - 2/7*k**4 + 0*k - 8/7*k**3.
-2*k**3*(k + 4)/7
Suppose 0 = 2*z - 5*f - 13, -4*z - 6*f + 11*f + 51 = 0. Solve -27*b - 13*b**2 - z*b - b**3 + 12 + 41*b**2 + 7*b**3 = 0 for b.
-6, 1/3, 1
Let z(a) = -13*a**3 - 137*a**2 - 164*a + 320. Let k(n) = 16*n**3 + 134*n**2 + 163*n - 320. Let u(v) = -6*k(v) - 7*z(v). Factor u(x).
-5*(x - 32)*(x - 1)*(x + 2)
Let z(s) be the first derivative of 103 - 22*s**3 - 97*s + 64 - s**4 - 42*s**3 - 186*s**2 - 87*s. Factor z(u).
-4*(u + 1)**2*(u + 46)
Let s = -35259 + 35259. Factor -3/4*k**3 + s - 3*k**2 + 0*k.
-3*k**2*(k + 4)/4
Let g(i) be the second derivative of i**4 - 6*i**2 - i + 2 - 1/5*i**5 + 2/3*i**3. Factor g(v).
-4*(v - 3)*(v - 1)*(v + 1)
Let f be (-7 + 9)*(-4 + (-325)/(-5)). Let k be -2 - 0 - f/(-22) - 3. Factor 2/11*o**3 + 0 + k*o**2 + 4/11*o.
2*o*(o + 1)*(o + 2)/11
Let r be (-196)/(-4) + -6 + 3. Let x be (-12)/((-14)/(-2) - (57 - r)). Factor 2/21*k**2 + 2/21*k**x + 0 + 0*k - 2/21*k**5 - 2/21*k**4.
-2*k**2*(k - 1)*(k + 1)**2/21
Let c(d) = -d**2 + d + 3. Let q(n) = -n**4 + 20*n**3 - 121*n**2 + 183*n - 72. Let g(m) = 6*c(m) - 2*q(m). Suppose g(v) = 0. What is v?
1, 9
Let i(q) be the third derivative of -q**6/80 + 171*q**5/40 - 1635*q**4/16 + 4025*q**3/4 - 2899*q**2. What is k in i(k) = 0?
5, 161
Let v(a) be the first derivative of -a**3/3 + 29*a**2/2 - 120*a - 3043. Factor v(c).
-(c - 24)*(c - 5)
Let g(b) be the first derivative of -b**6/45 + 3*b**5/5 - 11*b**4/6 + 16*b**3/9 - 145*b + 58. Let u(j) be the first derivative of g(j). Factor u(z).
-2*z*(z - 16)*(z - 1)**2/3
Let -8/13*b**2 - 2/13*b**5 + 0 + 512/13*b - 384/13*b**3 + 134/13*b**4 = 0. What is b?
-1, 0, 2, 64
Let q be 12/20 - (-804)/7200*-5. Let f(w) be the second derivative of q*w**3 - 10*w + 0*w**2 + 0 - 1/80*w**5 + 0*w**4. Find b such that f(b) = 0.
-1, 0, 1
Let h(k) = k**2 + 5*k - 262. Let t be h(-19). Suppose -64*p + 132 = t. Find g, given that 2/5*g**4 + 8/5 - 12/5*g**3 + 26/5*g**p - 24/5*g = 0.
1, 2
Let h(k) be the second derivative of 2*k**6/15 - 519*k**5/10 + 769*k**4/6 + 432*k**3 - 1548*k**2 + 11030*k. Determine d, given that h(d) = 0.
-3/2, 1, 2, 258
Let h(u) be the second derivative of u**4/3 - 1412*u**3/3 + 4218*u**2 + 2*u + 5485. Factor h(p).
4*(p - 703)*(p - 3)
Find k such that -70*k**3 + 65*k**4 - 585*k - 811*k**5 - 135 + 287*k**5 - 570*k**2 + 539*k**5 = 0.
-3, -1, -1/3, 3
Let n(u) = u**3 + 6*u**2 - 45*u - 68. Let z be n(-7). Let k be (-108)/z - (-42)/33. Factor -2/11*m**2 + k + 6/11*m.
-2*(m - 4)*(m + 1)/11
Let t(b) be the third derivative of -5/156*b**4 - 1/390*b**5 + 0*b + 43*b**2 + 0 + 0*b**3. Factor t(f).
-2*f*(f + 5)/13
Let w be (-46)/14 - 12/(-42). Let f be w*((3 - (5 - 2)) + -1). Determine b so that 9*b**2 + 5*b - f - 8*b**2 - 3*b = 0.
-3, 1
Let k(s) be the third derivative of -27*s**6/8 + 195*s**5 - 27965*s**4/6 + 176720*s**3/3 - 107*s**2 + 3*s + 1. Let k(f) = 0. What is f?
8, 94/9
Let u(y) = -81*y - 139. Let o be u(-6). Suppose 168*g**2 + o*g - 133*g - 116*g + 72*g**3 = 0. Calculate g.
-7/6, 0
Let c(x) be the second derivative of -6/7*x**3 - 8/35*x**6 + 156*x + 3/7*x**4 + 8/35*x**5 + 4/7*x**2 + 0. Solve c(z) = 0 for z.
-1, 1/2, 2/3
Let b be (2/4)/((-15)/(-60)). Let h(j) = 5*j + 2. Let y be h(0). Factor -2*t**3 + 8*t + t**2 + 0*t**2 - 2*t**b - 5*t**y.
-2*t*(t - 1)*(t + 4)
Factor -53997 - 831*l**2 + 57960*l + 2319*l**3 - 2316*l**3 - 3135.
3*(l - 138)**2*(l - 1)
Let p = 18231 - 218771/12. Let j(r) be the second derivative of 1/3*r**2 - 1/60*r**6 - 8*r - p*r**5 + 1/3*r**3 + 0 - 1/24*r**4. What is z in j(z) = 0?
-2, -1/3, 1
Let a be (-28)/(-13) + (-14)/91. Determine r so that 175*r**3 + 45*r**4 + 7*r - 2*r - 45*r**a - 180*r**3 = 0.
-1, 0, 1/9, 1
Let u(i) be the first derivative of i**6/720 - i**5/24 + 7*i**4/72 - 95*i**2/2 - 93. Let z(w) be the second derivative of u(w). Let z(m) = 0. What is m?
0, 1, 14
Let m be 18/81 + (-1290)/(-27). Let n = -30 + m. Determine k so that -n*k**3 + 32*k**3 + 30*k**2 + 5*k**4 - 39*k**3 = 0.
0, 2, 3
Let o(f) be the first derivative of -f**6/18 + 13*f**5/15 - 15*f**4/4 + 11*f**3/9 + 35*f**2/3 - 1781. Determine p, given that o(p) = 0.
-1, 0, 2, 5, 7
Suppose -c + o + 19 = c, -5*c = -3*o - 47. Let k = c + -6. Suppose -k - y**2 + 12 - 3*y**2 + 31*y - 27*y = 0. Calculate y.
-1, 2
Let v(b) = -15*b**2 - 3*b + 6. Let h be v(2). Let l be (2 + 0)*h/(-45). Factor -6*j - l - 2/3*j**3 - 4*j**2.
-2*(j + 1)**2*(j + 4)/3
Solve -2693174*o**2 - 4*o**4 - 993586176*o - 920*o**3 + 39620270365 - 5416*o**3 - 80673632805 - 1070410*o**2 - 57311668984 = 0.
-396
Let x(c) = -c**2 - 5*c + 4. Let w = 73 + -76. Let o be x(w). Factor o - 21 - 8*y + 8*y**3 + 7 + 4*y**4.
4*(y - 1)*(y + 1)**3
Let a be 0/(-2*(17/(-10200)*-30)/(2/20)). What is i in 0*i + a - 2/3*i**4 + 1/3*i**5 + 0*i**2 + 1/3*i**3 = 0?
0, 1
Let p(h) be the first derivative of h**5/5 + 39*h**4/4 + 319*h**3/3 - 759*h**2/2 + 400*h - 12026. Factor p(y).
(y - 1)**2*(y + 16)*(y + 25)
Let u(q) = -q**2 - 6*q - 3. Let c be u(-7). Let g = c - -75. Factor -2*b - 30*b**2 - 9 + g*b + 2*b - 1.
-5*(b - 2)*(6*b - 1)
Let t(x) be the second derivative of 5*x**4/12 + 1460*x**3/3 + 213160*x**2 - 3150*x. Factor t(k).
5*(k + 292)**2
Let f(q) = q**3 + 12*q**2 - 19*q - 14. Let s be f(-13). Determine v, given that -s*v + 26 - 16 - 33 - 37 - 4*v**2 = 0.
-15, -1
Let a(l) be the first derivative of -2*l**3/9 - 138*l**2 + 830*l/3 + 8790. Factor a(p).
-2*(p - 1)*(p + 415)/3
Factor 2/13*h**2 + 1401138/13 + 3348/13*h.
2*(h + 837)**2/13
Let x(q) be the third derivative of 0 + 1/12*q**4 + 0*q**3 - 1/210*q**7 + 129*q**2 + 1/60*q**5 + 0*q - 1/60*q**6. Determine o so that x(o) = 0.
-2, -1, 0, 1
Find n such that -13284 + 980*n + 2022*n - 200*n**2 + 2*n**3 - 328*n + 440*n = 0.
9, 82
Let f be 13/((-351)/(-6))*480/320*3/2. Suppose -529/2 + 23*m - f*m**2 = 0. What is m?
23
What is l in -1/3*l**2 - 1452*l - 1581228 = 0?
-2178
Find y such that -4*y**5 + 49/3*y**3 - 4*y + 40/3*y**2 + 0 - 65/3*y**4 = 0.
-6, -2/3, 0, 1/4, 1
Factor -4/7*f**3 + 240/7 + 128/7*f - 4/7*f**2.
-4*(f - 6)*(f + 2)*(f + 5)/7
Let -1680*a**2 - 27/4*a**5 - 1143/4*a**4 - 1032*a - 228 - 1155*a**3 = 0. Calculate a.
-38, -2, -1, -2/3
Let h(k) = -24*k - 350. Let f be h(-15). Let v(i) be the third derivative of