/11*n - 1944/11 - 78/11*n**2 + 2/11*n**h = 0. What is n?
3, 18
What is s in -241*s**4 - 23328*s**2 + 445*s**4 - 432*s**3 - 206*s**4 = 0?
-108, 0
Let v = 12841/9630 + -257/1926. Factor -7/5*w**2 + 1/5*w**4 + v*w + 0*w**3 + 0.
w*(w - 2)*(w - 1)*(w + 3)/5
Let i(w) = 8 + 69*w + 61*w - 138*w - 6*w**3 - 13*w**2 + 3*w**2. Let z(q) = -4 - 102*q**2 + 103*q**2 + q**3 + q + 3. Let p(a) = -i(a) - 8*z(a). Factor p(r).
-2*r**2*(r - 1)
Factor 1/2*s**4 + 108300*s**2 - 13718000*s - 380*s**3 + 651605000.
(s - 190)**4/2
Let l = -11552 - -11556. Let b(a) be the second derivative of -37*a - 1/24*a**l + 0 - 5/24*a**3 + 1/80*a**5 + 3/4*a**2. Determine k so that b(k) = 0.
-2, 1, 3
Determine u, given that -2*u**2 - 38*u**3 + 356/3*u**4 + 0 - 80*u**5 + 4/3*u = 0.
-1/6, 0, 1/4, 2/5, 1
Let i(b) be the first derivative of -b**5 - 53*b**4/44 + 19*b**3/11 + 53*b**2/22 - 2*b/11 + 12862. Determine p so that i(p) = 0.
-1, 2/55, 1
Let f(l) be the first derivative of -l**6/36 - l**5/5 + l**4/2 + 19*l**3/9 + 7*l**2/4 - 612. Suppose f(t) = 0. What is t?
-7, -1, 0, 3
Let t(j) be the first derivative of -j**8/336 + j**7/84 - j**6/72 + 134*j**3/3 + 38. Let x(z) be the third derivative of t(z). Factor x(w).
-5*w**2*(w - 1)**2
Let j(l) be the third derivative of 103*l**2 + 0*l + 0*l**3 + 3/8*l**4 - 1/120*l**6 + 0 + 2/15*l**5. Determine a, given that j(a) = 0.
-1, 0, 9
Let w = 409 + -407. Factor 0*v**w + 634 - 46 + 3*v**2 + 8*v - 92*v.
3*(v - 14)**2
Let i(g) = -g**2 - 2. Let w(x) = -x**2 - 36*x - 5. Let k be w(-36). Let z(c) = 18*c - 79. Let l(d) = k*i(d) - 5*z(d). Factor l(u).
5*(u - 9)**2
Let y(b) = 5*b**2 - 23*b + 221. Let p(s) = -44*s**2 + 214*s - 1990. Let h(x) = 6*p(x) + 52*y(x). What is r in h(r) = 0?
8, 14
Factor -570*z**2 - 2*z**3 + 14*z**2 - 40326*z - 39762 - 10*z**2.
-2*(z + 1)*(z + 141)**2
Let a(q) be the second derivative of -31*q + 1/39*q**3 + 0 + 1/78*q**4 + 0*q**2. Suppose a(x) = 0. Calculate x.
-1, 0
Suppose v = 3*v - 4. Suppose -2*t = -4*j + 16, v*j + t = -2*t + 8. Factor 2*l - 245 - 10*l + 243 - 8*l**3 - 12*l**2 - 2*l**j.
-2*(l + 1)**4
Let k(l) = 1. Let v(u) = u**3 - 22*u**2 + 99*u - 48. Let h(w) = 2*k(w) - v(w). Let i be h(16). Suppose -4/3*r**i + 1 - 11/3*r = 0. Calculate r.
-3, 1/4
Let i = -3775/132 + 321/11. Let t(n) be the third derivative of -1/60*n**6 + 0*n**5 + 0*n + i*n**4 + 9*n**2 - 2*n**3 + 0. Factor t(p).
-2*(p - 2)*(p - 1)*(p + 3)
Let l = 11017 - 11015. Let h be (-96)/(-234)*3/2. Determine b so that 0*b + 2/13*b**l + 0 + 6/13*b**4 - h*b**3 = 0.
0, 1/3, 1
Let w(o) be the first derivative of -o**5/180 - 7*o**4/72 - 17*o**2/2 - o - 12. Let r(i) be the second derivative of w(i). Solve r(s) = 0.
-7, 0
Let f(q) be the second derivative of q**4/16 + 139*q**3/4 - 837*q**2/8 + 3961*q. Factor f(k).
3*(k - 1)*(k + 279)/4
Factor -2/5*b**3 - 104/5*b + 24 + 26/5*b**2.
-2*(b - 6)*(b - 5)*(b - 2)/5
Let k(x) be the third derivative of -x**6/840 + 129*x**5/140 - 16641*x**4/56 + 715563*x**3/14 - 14*x**2 - 105. Determine b, given that k(b) = 0.
129
Let q(w) be the second derivative of w**6/150 - 59*w**5/100 - w**4/60 + 59*w**3/30 - 271*w + 3. Factor q(i).
i*(i - 59)*(i - 1)*(i + 1)/5
Let r(j) = 36*j**3 - 504*j**2 + 1350*j - 987. Let c(x) = 5*x**3 - 72*x**2 + 193*x - 140. Let i(f) = -15*c(f) + 2*r(f). Solve i(g) = 0 for g.
1, 2, 21
Let m(u) = -2*u**3 - u**2 - u + 1. Let c(p) = 42*p**2 - 2*p - 44*p**2 - 4*p - 13*p**3 + 6. Let g(l) = c(l) - 6*m(l). What is q in g(q) = 0?
0, 4
Let g(k) = 5*k**2 + 8*k - 12. Let c(x) = -2*x**2. Let f = 785 - 786. Let m(j) = f*g(j) - 3*c(j). Factor m(b).
(b - 6)*(b - 2)
Let p = -15270 + 15272. Let w(y) be the first derivative of -51/2*y**p - 19*y**3 + 21 + 6*y. What is t in w(t) = 0?
-1, 2/19
Let o(b) be the first derivative of 0*b + 1/22*b**2 + 1 - 1/33*b**3. Factor o(p).
-p*(p - 1)/11
Let h(l) = 176*l**2 - 4812*l + 2894412. Let t(w) = 29*w**2 - 1. Let c(x) = -h(x) + 6*t(x). Factor c(y).
-2*(y - 1203)**2
Let r(j) be the second derivative of j**6/90 - 77*j**5/60 - 493*j**4/36 - 415*j**3/18 - 9*j + 90. Factor r(a).
a*(a - 83)*(a + 1)*(a + 5)/3
Let v(a) be the first derivative of -177 - 3/8*a**2 + 1/2*a**3 - 9/4*a. Let v(d) = 0. What is d?
-1, 3/2
Let y(d) be the second derivative of 17*d - 11/3*d**3 + 19/9*d**4 + 10/3*d**2 + 0*d**6 + 1/63*d**7 - 10 - 8/15*d**5. Suppose y(o) = 0. What is o?
-5, 1, 2
Let n(l) be the first derivative of -2/15*l**5 + 37/30*l**4 + 4/3*l**2 - 128/45*l**3 - 158 + 0*l. What is q in n(q) = 0?
0, 2/5, 2, 5
Let x(h) be the first derivative of h**4 + 12*h**3 - 72*h**2 - 2742. Determine p so that x(p) = 0.
-12, 0, 3
Let t be (0/3)/(511 + -488). Factor t*q + 0*q**2 + 6/13*q**3 + 0 - 2/13*q**4.
-2*q**3*(q - 3)/13
Factor 11340/17*d**2 + 2/17*d**3 + 21432600/17*d + 13502538000/17.
2*(d + 1890)**3/17
Let s be 37989/11055 - (104/(-44) - -2). Determine h so that -3/5*h**4 + 7/5*h + 2 - 19/5*h**2 - s*h**3 = 0.
-5, -1, 2/3
Let z(b) be the third derivative of -1/30*b**5 + 0*b + 1/12*b**4 - 53*b**2 + 4*b**3 + 0. Factor z(a).
-2*(a - 4)*(a + 3)
Let g be (48/32)/(417/(-408) - -1). Let j be ((-4)/(-3))/(g/(-6)). Factor 0 + 6/17*f**3 + 6/17*f**2 + j*f**4 + 2/17*f.
2*f*(f + 1)**3/17
Let w be (-2)/(-3) - (-258)/18. Let b(k) = w - 29 - 8*k - 3*k**2 + 9. Let x(t) = -80*t**2 - 215*t - 135. Let s(z) = 55*b(z) - 2*x(z). Factor s(n).
-5*(n + 1)**2
Let m = 69 - 5. Let t(y) = -y**3 + 26*y**2 + 29*y - 47. Let n be t(27). Factor -66 - m - 33*b - n*b + 30 - 4*b**2.
-4*(b + 5)**2
Let a(x) = -3*x**4 + 17*x**3 + 158*x**2 + 276*x + 146. Let c(n) = 3*n**4 - 15*n**3 - 159*n**2 - 276*n - 147. Let l(q) = -3*a(q) - 2*c(q). Solve l(s) = 0.
-2, -1, 12
Let m(s) be the first derivative of -8/9*s**3 - 2*s + 13/6*s**2 - 55 + 1/12*s**4. Factor m(g).
(g - 6)*(g - 1)**2/3
Let g(k) be the first derivative of -k**6/18 - k**5/3 - k**4/2 + 2*k**3/9 + 7*k**2/6 + k - 3972. Let g(m) = 0. What is m?
-3, -1, 1
Let d(f) be the third derivative of -f**6/160 - 47*f**5/40 - 451*f**4/32 - 267*f**3/4 + 1570*f**2 - 3*f. Factor d(p).
-3*(p + 2)*(p + 3)*(p + 89)/4
Let v = -243/104 + 2395/936. Factor 0*c**2 + v*c**5 + 0 + 0*c + 2/9*c**4 + 0*c**3.
2*c**4*(c + 1)/9
Suppose 3*a - 3*q = 6, 3 = a + 5*q + 1. Find o such that -5 - 35*o**2 + 12*o**a - 15*o + 8*o**2 - 5*o**3 = 0.
-1
Let p(c) = -7*c**3 + 27*c**2 - 9*c - 27. Let n(u) = u**3 - u**2 + u + 1. Let j(w) = w**2 + 17*w - 40. Let i be j(-17). Let z(q) = i*n(q) - 5*p(q). Factor z(b).
-5*(b - 1)*(b + 1)*(b + 19)
Let x(z) be the second derivative of z**5/50 + z**4/5 - 19*z**3/15 - 24*z**2/5 + 768*z. Factor x(f).
2*(f - 3)*(f + 1)*(f + 8)/5
Let m be (1 - (-42)/(-9))/(27/405). Let r be m/(3 - -2) + 16. What is z in 40/13*z**4 + 22/13*z**r - 44/13*z**2 + 4/13 - 8/13*z**3 - 14/13*z = 0?
-1, 2/11, 1
Let q(d) = -4*d**2 + 170*d + 3368. Let r = 218 + -213. Let n(b) = -3*b**2 + 169*b + 3367. Let g(u) = r*q(u) - 6*n(u). Factor g(j).
-2*(j + 41)**2
Let s(f) be the second derivative of -f**8/8400 + f**7/450 + 17*f**6/900 + 3*f**5/50 + 25*f**4/6 + 102*f. Let k(h) be the third derivative of s(h). Factor k(a).
-4*(a - 9)*(a + 1)**2/5
Let j be (-3356)/6 - 4/6. Let t = 2801/5 + j. Factor 3/5 - t*o**2 - 2/5*o.
-(o - 1)*(o + 3)/5
Let o be (10/(-48))/(17 + 273/(-14)). Let p(c) be the third derivative of 0*c**5 - 12*c**2 + 0*c + o*c**4 - 1/240*c**6 + 0*c**3 + 0. Factor p(k).
-k*(k - 2)*(k + 2)/2
Suppose -2*r + 16 = -14. Let f be (-1)/((-33)/r - -2). Factor -6*o**5 + 2*o**4 + 7*o**5 - 5*o**3 + 4*o**f - 17*o**4 + 15*o**2.
5*o**2*(o - 3)*(o - 1)*(o + 1)
Let n(c) be the third derivative of c**6/24 - c**5/4 - 115*c**4/12 + 40*c**3 - 1834*c**2. Suppose n(p) = 0. Calculate p.
-6, 1, 8
Let h be 2/(60/82) + (-20)/((-10000)/(-700)). Let -20/9*p - 4/9*p**4 + 20/9*p**3 + 16/9 - h*p**2 = 0. Calculate p.
-1, 1, 4
Let w(r) be the third derivative of -8/5*r**5 + 3/2*r**4 + 1/112*r**8 + 0 + 0*r - 1/7*r**7 + 29/40*r**6 + 80*r**2 + 0*r**3. Factor w(x).
3*x*(x - 6)*(x - 2)*(x - 1)**2
Suppose -8*r - 28 + 44 = 0. Suppose 10*s = r*s - 31*s. Factor -8/7*i**3 - 6/7*i**2 + 2/7*i + s.
-2*i*(i + 1)*(4*i - 1)/7
Let d(n) = n**2 - 15 - 28*n + 20 + 22 + 2*n**2. Let q(r) = -65*r**2 + 615*r - 595. Let v(y) = -45*d(y) - 2*q(y). Factor v(a).
-5*(a - 5)*(a - 1)
Let d(y) be the third derivative of y**5/120 + 331*y**4/24 + 109561*y**3/12 - 13*y**2 - 7. Factor d(h).
(h + 331)**2/2
Find t, given that -6