4 + 1119*l = 0. Calculate l.
-75, -2, 1
Let s(c) be the second derivative of -c**8/252 + 2*c**7/105 + c**6/10 + c**5/9 + 107*c**2/2 - 50*c. Let w(n) be the first derivative of s(n). Factor w(j).
-4*j**2*(j - 5)*(j + 1)**2/3
Let z = 1846/7 - 229. Factor -z - 162/7*r**2 - 36/7*r**3 - 3/7*r**4 - 324/7*r.
-3*(r + 3)**4/7
Let m(h) be the third derivative of -h**7/17640 + h**6/560 - h**5/60 + 3*h**4/8 - h**3/6 - 22*h**2. Let q(u) be the second derivative of m(u). Factor q(z).
-(z - 7)*(z - 2)/7
Let b(i) be the third derivative of i**8/63 + 41*i**7/105 + 307*i**6/360 - 7*i**5/60 - 49*i**4/36 - 2*i**2 + 6945. Suppose b(d) = 0. Calculate d.
-14, -1, -7/8, 0, 1/2
Let j(s) be the first derivative of -75*s**6/2 - 2856*s**5 - 34341*s**4/4 - 9942*s**3 - 5502*s**2 - 1464*s - 6354. Find p such that j(p) = 0.
-61, -1, -2/3, -2/5
Let y(t) = 11*t**2 + 30*t + 84. Let h(i) = -2*i**2 - 5*i - 14. Let u = -43 - -77. Let r(m) = u*h(m) + 6*y(m). Let r(b) = 0. What is b?
-2, 7
Let d be -10*8/(-4) - (-4)/4. Suppose -3 = -4*s + 3*t, -d = -6*s + 3*s - 4*t. Suppose 6 - 2*g**2 + 3*g + 11*g**3 - 12*g**s + 2*g = 0. Calculate g.
-3, -1, 2
Suppose 12 = -4*a - 2*i + 46, -3*i = 3*a - 30. Let n be (a/14)/((-26)/(-8) - 2). Let -n*l**2 + 4/5 + 2/5*l = 0. Calculate l.
-1, 2
Let s(l) = l**3 + 89*l**2 + 32*l + 4. Let q(y) = 13*y**2 - y + 1. Let o(p) = 4*q(p) - s(p). What is m in o(m) = 0?
-36, -1, 0
Solve 0 + 482/3*n**3 + 19520/3*n**2 + n**4 + 12800/3*n = 0 for n.
-80, -2/3, 0
Solve -585 + 3036*f**2 + 169*f - 24*f + 443*f - 3039*f**2 = 0.
1, 195
Let w(u) be the third derivative of 0 + 1/16*u**4 + 0*u - 12*u**2 - 1/280*u**7 - 1/80*u**6 + 0*u**3 + 1/80*u**5. Find l such that w(l) = 0.
-2, -1, 0, 1
Suppose 124*i - 188 = -94*i + 466. Factor -5*h**4 + 0*h - 5/3*h**5 + 20/3*h**2 + 0 + 0*h**i.
-5*h**2*(h - 1)*(h + 2)**2/3
Let g(w) be the third derivative of w**6/1140 - 37*w**5/114 - 373*w**4/228 - 187*w**3/57 + 286*w**2 - 1. Determine u, given that g(u) = 0.
-1, 187
Let z be 18/81 + (-3)/(54/(-158)). Suppose -4*h = -20, 3*t - 43 = -5*h - z. Factor 0 + 2/3*v**2 - 2/3*v**4 - 2/3*v**t + 2/3*v.
-2*v*(v - 1)*(v + 1)**2/3
Suppose 0 = -5*l - 472 + 557. Factor -2146*q**2 + l*q**3 + 2254*q**2 + 43*q**3 + 3*q**4.
3*q**2*(q + 2)*(q + 18)
What is c in 0*c + 22/7*c**4 + 76/7*c**3 + 2/7*c**5 + 80/7*c**2 + 0 = 0?
-5, -4, -2, 0
Let q(w) = -w**3 - 17*w**2 + 4*w + 7. Let v be q(-17). Let j = -59 - v. Find t, given that 5*t + t**j - 13*t + 7 - t + t = 0.
1, 7
Let i = -124129/12 - -10330. Let f = i - -59/4. Determine r, given that 0 + 2/3*r**4 + 2*r**3 - 2*r - f*r**2 = 0.
-3, -1, 0, 1
What is y in -113*y**2 + 211*y**4 + 342*y**3 - 98*y**2 - 164*y**3 - 391*y**3 + y**5 + 212*y = 0?
-212, -1, 0, 1
Solve -2/17*d**2 + 500/17 + 30/17*d = 0.
-10, 25
Factor 32/5*r**2 - 18/5 + 18*r.
2*(r + 3)*(16*r - 3)/5
Let m(z) = -80*z**2 - 11*z + 24. Let b(l) = -134*l**2 - 19*l + 48. Let k(i) = 3*b(i) - 5*m(i). Factor k(y).
-2*(y - 3)*(y + 4)
Let g(y) be the second derivative of 1/3*y**3 + 1/2*y**2 + 1/12*y**4 + 0 + 14*y. Find i, given that g(i) = 0.
-1
Let l(q) be the third derivative of 103*q**2 - 2*q**4 + 0 - 1/240*q**5 - q - 384*q**3. Factor l(m).
-(m + 96)**2/4
Let m(t) = t**3 - t**2 - t. Let n(x) = -32*x**3 + 40*x**2 + 252*x - 160. Let i(y) = -20*m(y) - n(y). Factor i(k).
4*(k - 5)*(k + 4)*(3*k - 2)
Let r(i) = 8*i**3 + 305*i**2 - 269*i - 13. Let v(q) = 4*q**3 + 142*q**2 - 134*q - 6. Let s(c) = 6*r(c) - 13*v(c). Let s(a) = 0. Calculate a.
-8, 0, 4
Factor s**3 + 951*s**2 + 540*s**2 - 487*s**2 - 147 - 778 - 79*s**2 - s.
(s - 1)*(s + 1)*(s + 925)
Let l = 510 - 189. Factor z**2 - 49*z - 5*z**2 - l*z + 98*z.
-4*z*(z + 68)
Determine x so that 2*x**4 - 62/3*x**3 + 112/3*x**2 + 8/3*x - 64/3 = 0.
-2/3, 1, 2, 8
Suppose 0 - p**2 + 1/3*p**4 - 2/3*p**3 + 0*p = 0. What is p?
-1, 0, 3
Let u = 23 + -14. Suppose 0 = u*h + h - 50. Solve 8*j**2 + 0*j**2 - h*j - 13*j**2 = 0 for j.
-1, 0
Suppose 1350723 + 99*q**2 - 3285*q - 741*q - 158*q**2 + 62*q**2 = 0. What is q?
671
Let i be 5 + -5 + 6*(-20)/(-56). Let h = i + -12/35. Factor -6/5*t - 1/5*t**2 - h.
-(t + 3)**2/5
Let r = 1919 - 1924. Let w(i) = 4*i**2 + 40*i - 36. Let l(o) = 36 - 4*o**2 - 15*o - 3*o - 24*o. Let c(a) = r*w(a) - 4*l(a). Factor c(k).
-4*(k - 1)*(k + 9)
Let k = -123767/36 - -3438. Let u(o) be the third derivative of 1/630*o**7 - k*o**4 + 0*o**5 + 0 + 4*o**2 - 1/18*o**3 + 0*o + 1/180*o**6. Factor u(j).
(j - 1)*(j + 1)**3/3
Let a(r) be the third derivative of r**5/12 - 1115*r**4/12 + 2225*r**3/6 - 2*r**2 - 2865*r. Find c, given that a(c) = 0.
1, 445
Determine j, given that -2590088/11 - 4552/11*j - 2/11*j**2 = 0.
-1138
Let o(a) be the first derivative of -a**6/30 + 56*a**5/25 + 74*a**4/5 + 542*a**3/15 + 85*a**2/2 + 122*a/5 - 6483. Factor o(h).
-(h - 61)*(h + 1)**3*(h + 2)/5
Factor 15/2*j - 1235/4 + 5/4*j**2.
5*(j - 13)*(j + 19)/4
Let w(z) be the first derivative of z**6/16 + 3*z**5/8 - 9*z**4/16 + 464. Solve w(g) = 0 for g.
-6, 0, 1
Let u(h) be the third derivative of 0*h**3 + 0*h**4 + 0*h - 9*h**2 - 1/20*h**5 + 1/160*h**6 + 0. What is t in u(t) = 0?
0, 4
Let -4/11 + 26/11*d - 26/11*d**3 + 4/11*d**2 = 0. Calculate d.
-1, 2/13, 1
Let d(t) be the first derivative of t**7/4620 + t**6/396 + 2*t**5/165 + t**4/33 + 47*t**3/3 - 64. Let l(a) be the third derivative of d(a). Factor l(b).
2*(b + 1)*(b + 2)**2/11
Determine d, given that d**5 + 326/7*d**3 - 562/7*d**2 + 435/7*d - 81/7*d**4 - 125/7 = 0.
1, 25/7, 5
Let l(g) = 47*g**2 - 5618*g + 2245. Let i(c) = 23*c**2 - 2806*c + 1121. Let t(m) = -7*i(m) + 3*l(m). Factor t(o).
-4*(o - 139)*(5*o - 2)
Let f = 15382 + -107670/7. Factor 10/7*a + 2/7*a**3 + f + 8/7*a**2.
2*(a + 1)**2*(a + 2)/7
Suppose 0 = -1029*t - 1431*t. Let -9/5*h - 6/5*h**2 + t + 3/5*h**3 = 0. Calculate h.
-1, 0, 3
Let w(l) be the first derivative of 11*l**3/9 - 311*l**2/3 + 112*l - 4006. Solve w(m) = 0 for m.
6/11, 56
Let u = 926469/67130 + -15/13426. What is m in 0*m + 0 + 1156/5*m**2 + 1/5*m**5 + u*m**4 + 1224/5*m**3 = 0?
-34, -1, 0
Let i be -30*(10/(-14))/((-6)/(-21)). Suppose -12*o = -27*o + i. Find b, given that 5*b + 0 + o*b**2 + 5/4*b**3 = 0.
-2, 0
Suppose -61*f = -56*f - 2*m - 10, 2*m = 3*f - 6. Let y = 55/87 + 1/29. Determine k so that f - 8/3*k + y*k**2 = 0.
1, 3
Let u be ((-246)/(-410))/(((-2)/(-20))/1). Suppose -5 = -u*v + 7*v - i, 5 = v + i. Solve -2/3*c**2 + 0*c + v = 0.
0
Let k(w) = -31*w**3 + 18*w**2 + 33*w + 1. Suppose -9*m = 18*m + 459. Let r(p) = -11*p**3 + 6*p**2 + 11*p. Let f(b) = m*r(b) + 6*k(b). Factor f(l).
(l + 1)*(l + 2)*(l + 3)
Let q(d) be the first derivative of -8/15*d**3 + d**2 - 60 - 1/10*d**4 + 0*d. Factor q(k).
-2*k*(k - 1)*(k + 5)/5
Let 45/8 + 1/2*s - 1/8*s**2 = 0. What is s?
-5, 9
Let x(r) be the third derivative of -r**8/84 - 4*r**7/105 + 37*r**6/10 + 112*r**5/15 - 110*r**4/3 + 195*r**2 + 3. Suppose x(i) = 0. Calculate i.
-11, -2, 0, 1, 10
Let i be ((-4)/12)/(1746/(-216) - -8). Determine f so that -48/7*f - 404/7*f**3 - 60/7*f**i + 0 - 272/7*f**2 = 0.
-6, -2/5, -1/3, 0
Let u = -30 - -31. Let a be 2/(-2) - (-3 - 2/u). Factor -a*r**3 - 809*r**2 - 4*r**4 + 809*r**2.
-4*r**3*(r + 1)
Let h = -349191/11 + 31745. Let o(s) be the second derivative of 1/66*s**4 + 4/33*s**3 + h*s**2 - 39*s + 0. Let o(r) = 0. What is r?
-2
Let x(a) = -a**2 - 9*a + 25. Let h be x(-11). Suppose h*g = -4 + 10. Factor 153*n**2 - g*n - 158*n**2 - 13*n - 10.
-5*(n + 1)*(n + 2)
Let p(i) = i**2 + 3*i - 6. Let w be p(-5). Let z be (-15)/30*(-2 + 0 + -6). Find d such that -d**w + 6*d**5 + 7*d**z - 9*d**4 = 0.
0, 1/2
Let y(s) = -104*s**3 - 338*s**2 - 561*s - 279. Let m(t) = -49*t**3 - 168*t**2 - 280*t - 140. Let i(w) = -18*m(w) + 8*y(w). Factor i(f).
2*(f + 4)*(5*f + 6)**2
Let p = -8 - -154. Let r = p + -1312/9. Find w, given that 2/3*w - r*w**2 + 0 = 0.
0, 3
Let y(w) be the first derivative of -3*w**5/35 - 159*w**4/14 - 103*w**3/7 + 45*w**2 - 504. Let y(b) = 0. Calculate b.
-105, -2, 0, 1
Let p be (-418)/(-16) - (-24)/(-192). Suppose 12*w - p = -26. Solve -2/3*d**2 - 2/3*d**3 + 4/3*d + w = 0.
-2, 0, 1
Let t be ((-200)/15)/((-1)/(-3)). Let y be ((-96)/t)/((-3)/(-20)). Let 12*b**2 + b - 13*b - 4*b + 8*b**3 - 4*b**4 - y = 0. What is b?
-1, 2
Let y be (-6)/(-69)*(-40434)/(-1172). Let 38/15*r**y + 6/5*r + 2/15 + 14/5*r**2 + 4/5*r**4 = 0. Calculate r.
-1, -1/6
Let v(h) = -h**3 - 9*h**2 -