47*l**4/34 - 48*l**3/17 + l**2/17 - 5012. Factor n(s).
-2*s*(s + 1)**2*(74*s - 1)/17
Let p(w) be the second derivative of 16*w - 6/7*w**2 + 1/140*w**5 - 1/28*w**4 - 8/21*w**3 + 0. Determine l, given that p(l) = 0.
-2, -1, 6
Let p be 3/((-24)/232) - 27852/(-924). Let p - 254/7*v**2 - 110/7*v**3 - 64/7*v = 0. Calculate v.
-2, -2/5, 1/11
Let w be 26074/26 + (-68)/(-442). Let t = w + -1003. Let 3/5*d**2 + t - 3/5*d = 0. What is d?
0, 1
Let v be (-26)/(-5) - ((-430)/30 + 13)/((-2)/6). Solve 0 + 3/5*h**3 + 3/5*h**5 - v*h - 9/5*h**2 + 9/5*h**4 = 0 for h.
-2, -1, 0, 1
Solve 258/13*j**2 + 8928/13*j + 2/13*j**3 + 38440/13 = 0.
-62, -5
Let v(d) = 2*d**5 + 18*d**4 - 142*d**3 - 266*d**2 + 184*d + 292. Let t(j) = j**4 + 4*j**3 + j**2 + 2. Let x(l) = -22*t(l) - v(l). Determine n so that x(n) = 0.
-21, -2, -1, 2
Let q(v) = 3*v**3 + 6*v**2 - 9*v + 16. Let m(g) = 3*g**3 + 12*g**2 + 23*g**3 + 31 - 20*g**3 - 21*g. Let k(w) = 4*m(w) - 7*q(w). Determine x so that k(x) = 0.
-4, 1
Suppose -w + 3 = 6. Let b(h) = 2*h + 8. Let t be b(w). Suppose 0 - 2*a**2 + 0*a**t + 0 + 2*a**3 = 0. Calculate a.
0, 1
Let a(s) be the first derivative of -2*s**3/39 + 2602*s**2/13 - 3385202*s/13 - 5864. Factor a(w).
-2*(w - 1301)**2/13
Suppose -39 = -21*t + 24*t. Let i(l) = -2*l**2 - 29*l - 35. Let x be i(t). Factor -3*b**3 + 411*b**4 - b**5 - 414*b**x + 4*b**5 + 3*b**2.
3*b**2*(b - 1)**2*(b + 1)
Let y = 172087 + -1376681/8. Let 21/8*w**3 + 33/8*w**2 + y*w + 3/8*w**4 + 0 = 0. What is w?
-5, -1, 0
Let l = 157 - 155. Factor l*z**2 + 722 - 42*z - z - 42*z + 9*z.
2*(z - 19)**2
Let d(c) be the third derivative of -4*c - 13/12*c**4 - 1/60*c**5 + 0 - c**2 + 0*c**3. Suppose d(p) = 0. Calculate p.
-26, 0
Let o(r) be the first derivative of r**4/30 + 2*r**3/15 - 8*r**2/5 + 55*r - 24. Let b(v) be the first derivative of o(v). Suppose b(d) = 0. What is d?
-4, 2
Let w(j) be the third derivative of -j**7/630 + 7*j**6/360 - 11*j**5/180 - 7*j**4/72 + 2*j**3/3 + 1108*j**2. Determine m so that w(m) = 0.
-1, 1, 3, 4
Let f(y) be the first derivative of -y**6/15 - y**5/10 + y**4/3 + 36*y - 30. Let k(d) be the first derivative of f(d). Solve k(s) = 0.
-2, 0, 1
Let d(k) be the first derivative of -155*k**6/2 - 184*k**5 - 445*k**4/4 + 10*k**3/3 + 9229. Determine y so that d(y) = 0.
-1, 0, 2/93
Factor 77916*l**2 - 1808/7*l**3 - 7869344*l + 7791686 + 2/7*l**4.
2*(l - 301)**3*(l - 1)/7
Let t(j) be the third derivative of 243*j**6/100 - 129*j**5/20 + 53*j**4/10 + 2*j**3/15 - 4599*j**2 - 2. Suppose t(l) = 0. Calculate l.
-1/162, 2/3
Suppose -5*w + 82 + 41 = 4*m, 3*w = 5*m - 200. Let l = 42 - m. Factor f**l + 4*f**4 - 8*f**4 + 23 - 23.
f**4*(f - 4)
Let h(k) be the first derivative of 0*k - 18 + 5/3*k**6 - 5*k**5 + 25/3*k**3 + 0*k**4 - 5*k**2. What is f in h(f) = 0?
-1, 0, 1/2, 1, 2
Let a(s) = -2284*s + 2304. Let h(f) = f**2 - 4573*f + 4607. Let x(n) = 7*a(n) - 4*h(n). Factor x(t).
-4*(t - 575)*(t - 1)
Suppose 396*q + 1236 = 2028. Factor 0*k + 2/7*k**5 - 10/7*k**4 + 0 + 0*k**q + 12/7*k**3.
2*k**3*(k - 3)*(k - 2)/7
Let f(z) be the first derivative of -z**4 - 2740*z**3/3 - 5456*z**2 - 10896*z + 3920. Determine o, given that f(o) = 0.
-681, -2
Factor 1191/4*p + 96*p**2 - 393 - 3/4*p**3.
-3*(p - 131)*(p - 1)*(p + 4)/4
Let q(n) be the first derivative of n**3/3 + n**2 - 21*n - 43. Let c be q(-6). Suppose 23 + 39*w**c - 39*w + 6*w**2 + 28 - 57 = 0. What is w?
-1, -2/13, 1
Let s be 16/5 + (-3)/15. What is b in 358 - 12*b - 695 + 12*b**s + 4*b**4 + 353 - 20*b**2 = 0?
-4, -1, 1
Let b be -4*(-4)/7 + (219 - 221). Suppose 5*r + 2 = 3*q, -2 = q + 15*r - 18*r. Factor -22/7*t - 18/7*t**2 - b*t**3 - 8/7 + 2/7*t**q.
2*(t - 4)*(t + 1)**3/7
Let u = 26587/12 - 8861/4. Factor i**3 + 0 + 1/3*i**4 - u*i**2 - i.
i*(i - 1)*(i + 1)*(i + 3)/3
Let d(n) be the third derivative of 2*n**7/105 + 18*n**6/5 + 1007*n**5/5 + 2809*n**4/3 + 1457*n**2. Solve d(t) = 0 for t.
-53, -2, 0
Let f be (-18 - (-3 + -17))*(-8)/(-12). Let j(u) be the first derivative of 0*u + 1/2*u**4 - f*u**3 - 4 - 8*u**2. Factor j(a).
2*a*(a - 4)*(a + 2)
Let i be (-46)/184*(-106)/(-3) - -9. Let k(l) be the third derivative of -1/60*l**5 + 0*l + 1/60*l**6 - 1/12*l**4 + 0 + i*l**3 + 8*l**2. Factor k(r).
(r - 1)*(r + 1)*(2*r - 1)
Suppose -14*k = 9*k - 1288. Determine m so that 48 + 11*m**3 - k*m**3 - 306*m**2 + 63*m**5 - 239*m**2 - 18*m - 10*m**2 + 507*m**4 = 0.
-8, -1, -1/3, 2/7, 1
Let c(g) = -12*g**2 - 3240*g - 3332. Let d(y) = 13*y**2 + 3226*y + 3330. Let w(t) = -9*c(t) - 8*d(t). Determine j, given that w(j) = 0.
-837, -1
Suppose -8301 = -2059*d - 125 - 2496 + 4615. Factor d*n**3 + 5/3 + 5/3*n - 25/3*n**2.
5*(n - 1)**2*(3*n + 1)/3
Let c(i) be the second derivative of i**7/210 + i**6/30 + i**5/50 - i**4/3 - 4*i**3/5 + 1193*i. Determine z so that c(z) = 0.
-3, -2, 0, 2
Let g(v) = 975*v - 5820. Let k be g(6). Let z(q) be the first derivative of 9/2*q**2 - q**3 - 13 + k*q. Suppose z(o) = 0. Calculate o.
-2, 5
Suppose -3*f - 3909 = 2*t, 1017 = 4*f + t + 6229. Let b = -2605/2 - f. Suppose -b*s**2 + 3/2 - s = 0. Calculate s.
-3, 1
Let t(u) be the first derivative of -5*u**4/4 - 75*u**3 + 895*u**2 - 1560*u + 9778. Factor t(g).
-5*(g - 6)*(g - 1)*(g + 52)
Let p = -58 - -64. Let n be -1 + (-25)/(1 - p). Factor 2*b**4 + 4*b**2 - 6*b**n + 2*b**4 - b**3 - b**3.
-2*b**2*(b - 1)*(b + 2)
Let v(q) be the third derivative of q**8/1344 + 17*q**7/420 + 11*q**6/20 + 283*q**5/120 - 265*q**4/96 - 25*q**3 - 136*q**2 - 12*q. Solve v(r) = 0.
-24, -5, -1, 1
Let q(t) be the second derivative of 3*t**5/140 - 3*t**4/2 - 48*t**3/7 + 528*t**2/7 + 1336*t. Determine i so that q(i) = 0.
-4, 2, 44
Let g(b) be the third derivative of -b**6/60 - 11*b**5/30 + 3*b**4/2 + 24*b**3 + b**2 + 32. Factor g(n).
-2*(n - 3)*(n + 2)*(n + 12)
Let f(u) be the first derivative of 8/3*u**2 + 1/3*u**4 + 0*u + 16 + 68/9*u**3 - 16/5*u**5. Suppose f(t) = 0. Calculate t.
-1, -1/4, 0, 4/3
Determine n so that -2/11*n**2 + 2/11*n + 0 - 6/11*n**4 - 10/11*n**3 = 0.
-1, 0, 1/3
Let t(z) be the first derivative of 4*z**5/5 - 16*z**4 - 164*z**3/3 + 168*z**2 + 432*z + 1126. Find k, given that t(k) = 0.
-3, -1, 2, 18
Let l(f) be the first derivative of f**5/15 - 5*f**4/6 - 7*f**3/9 + 38*f**2/3 - 20*f + 980. Determine s, given that l(s) = 0.
-3, 1, 2, 10
Suppose -3*q + 4 = -2, 4*i + 2*q - 564 = 0. Find w, given that -12*w**4 + 44*w - 144 + 184 - i*w**3 - 204*w**2 - 80*w = 0.
-10, -1, 1/3
Let h(f) be the second derivative of -f**9/34020 - f**8/30240 - f**4/6 - f**2/2 + 40*f. Let p(j) be the third derivative of h(j). Factor p(w).
-2*w**3*(2*w + 1)/9
Let c(x) = -3*x**2 - 11*x + 44. Suppose -22*t - 108 = -4*t. Let p be c(t). Factor -2/7*y**p - 4/7*y + 6/7.
-2*(y - 1)*(y + 3)/7
Suppose 3*w = -73*b + 70*b + 18, w = b. Factor 0*n**2 + 2/5*n**w + 0*n + 0.
2*n**3/5
Let j = 87821 - 439084/5. Find r such that -4/5 - 2/5*r**5 - j*r - 3*r**4 - 41/5*r**2 - 37/5*r**3 = 0.
-4, -1, -1/2
Let p(j) = j**3 - 59*j**2 + 17*j - 1001. Let a be p(59). Factor 0 + y - 8/3*y**a.
-y*(8*y - 3)/3
Let s(v) be the first derivative of 3*v**6/40 - 11*v**5/20 + v**4 + 220*v**3/3 - 83. Let p(t) be the third derivative of s(t). What is n in p(n) = 0?
4/9, 2
Factor w**2 + 5825 + 5799 - 10288 - 670*w.
(w - 668)*(w - 2)
Factor 5*i**2 - 5*i**2 + 960 - 76*i + 5*i**2 - 84*i.
5*(i - 24)*(i - 8)
Let r = -736 + 772. Let z be r/15*25/14. Suppose -18/7 - 2/7*j**3 - 2*j**2 - z*j = 0. Calculate j.
-3, -1
Suppose 33 = -227*r + 238*r. Let l be (3/2)/((-1)/(-2)). Factor -3*t**2 - 3*t - 8*t**3 + 8*t - 5*t**r + 12*t**l + t**4 - 2.
(t - 1)**3*(t + 2)
Suppose -8*i - 79 = -5*g - 11*i, -12 = -4*i. Find t, given that -2*t**3 - g*t + 0*t**2 + 0 - 14*t**2 - 14*t - 27 + 11 = 0.
-4, -2, -1
Suppose 28292*h + 29128*h + 22*h**4 - 104163 + 13335 - 25*h**4 - 8031*h**2 - 330*h**3 = 0. What is h?
-58, 3
Let m = -258 - -382. Let w = 624/5 - m. Suppose 28/5*g**2 - 4/5*g - 28/5*g**4 + 0 + w*g**3 = 0. What is g?
-1, 0, 1/7, 1
Let x = 6633/7 - 155279/168. Let w = -165/8 + x. Solve 1/3*a**2 + w*a + 7/3 = 0 for a.
-7, -1
Let x(r) be the second derivative of r**5/40 + 17*r**4/12 + 149*r**3/12 + 29*r**2 + 2*r + 613. Factor x(h).
(h + 1)*(h + 4)*(h + 29)/2
Suppose -567*z - 5 = -568*z. Factor -z*x**3 + 4*x + 6 + 2385*x**2 - 5*x - 2397*x**2.
-(x + 1)*(x + 2)*(5*x - 3)
Let l = -65755 - -1380859/21. Let n be 13/4 - (-2)/(-8). Factor 