**3 - i*k**2 - 14*k = 0. Calculate k.
-17, -1
Let q be (1441/(-143) - -10) + (-35)/(-273)*271. Factor -4/3*p**3 + 0 - q*p + 20*p**2.
-4*p*(p - 13)*(p - 2)/3
Suppose 0*t = -2*t - 780. Let y = t - -1563/4. Determine f, given that -9/8*f**4 + 0*f - 3/2 + 27/8*f**2 - y*f**3 = 0.
-2, -2/3, 1
Let p(v) be the second derivative of -v**4/18 + 11*v**3/9 - 8*v**2 - 4596*v. What is r in p(r) = 0?
3, 8
Let c(w) be the first derivative of 32*w**5/5 + 132*w**4 + 2738*w**3/3 + 2310*w**2 + 2450*w + 3635. Find b, given that c(b) = 0.
-7, -5/4
Factor 4/5*n**3 - 83/5*n**2 + 59/5*n + 4.
(n - 20)*(n - 1)*(4*n + 1)/5
Let t = -1317 + 1236. Let m = t - -81. Determine p, given that 3*p**2 + m + 0*p + 3/2*p**3 = 0.
-2, 0
Suppose 3 = u + 2*b - 3*b, 8 = 5*u + 2*b. Let o(p) be the first derivative of 0*p + 0*p**u + 4/9*p**3 - 17 - 5/6*p**4. Factor o(a).
-2*a**2*(5*a - 2)/3
Let k(i) be the first derivative of 6/5*i**5 + 132 + 1/3*i**6 - 11*i**4 - 27*i**2 + 76/3*i**3 + 14*i. Factor k(z).
2*(z - 1)**4*(z + 7)
Let d(g) = -36*g**2 + 71*g + 8. Let i(t) be the third derivative of 37*t**5/60 - 3*t**4 - t**3 - 14*t**2. Let k(u) = 3*d(u) + 4*i(u). Factor k(y).
5*y*(8*y - 15)
Suppose 0 = 41*n - 44*n - 3675. Let z be (-12)/10*n/196. Factor -125/6 + z*k**2 - 5/6*k**3 - 25/2*k.
-5*(k - 5)**2*(k + 1)/6
Let a be (-2635 - -2624)*2/(-2). Determine h, given that 0 + a*h - 1/2*h**2 = 0.
0, 22
Let m(p) = 7*p**2 + 4*p + 5. Let z be m(-6). Let k = z + -151. Suppose -82 - 4*v**2 + k + 20*v = 0. What is v?
0, 5
Let q be 7*(15/(-10))/(63/(-12)). Factor -2*n**q + 10*n**2 - 11*n + 3*n - 6*n**2.
2*n*(n - 4)
Let v(w) be the third derivative of w**6/40 - 197*w**5/20 + 49*w**4/2 - w**2 + 82*w. Determine m so that v(m) = 0.
0, 1, 196
Let q = -277 + 279. Let r = 4 + -2. Factor c**5 - 5*c**4 - 10*c**3 + 8*c**q - 15*c + 12*c**r + 4 + 5*c**4.
(c - 1)**4*(c + 4)
Let v(l) = -57*l**2 + 3180*l + 9. Let z(y) = 13*y**2 - 795*y - 2. Let r(t) = -2*v(t) - 9*z(t). Find j such that r(j) = 0.
0, 265
Let y(h) be the second derivative of -3*h**5/40 + 249*h**4/8 + h**3/4 - 747*h**2/4 + 1771*h. Factor y(m).
-3*(m - 249)*(m - 1)*(m + 1)/2
Let y = 10031/104 - 1249/13. Let a(m) be the third derivative of -1/80*m**5 + y*m**3 + 0*m + 0 + 1/16*m**4 - 12*m**2. Factor a(c).
-3*(c - 3)*(c + 1)/4
Let t(m) = 2*m - 9. Let o be t(9). Let r be 4/6 - (-408)/o. Let 10*n**2 + 51*n**3 - r*n**3 - n + 6*n = 0. What is n?
-1, 0
Let r(a) be the first derivative of 2*a**3/21 - 582*a**2/7 - 1166*a/7 - 6660. Factor r(s).
2*(s - 583)*(s + 1)/7
Suppose 172 = 2*m + 184. Let y be ((-15)/m)/((-1 + -6)/(-28)). Let -5/2*b**4 - 5/2 + y*b**5 - 20*b**3 + 10*b + 5*b**2 = 0. Calculate b.
-1, 1/4, 1
Let r be (((-3)/(-12))/((-1)/5) - -1)*1159/(-2318). Suppose -13/4*o**2 - 23/2*o - 11 - r*o**3 = 0. What is o?
-22, -2
Let f(a) = 334*a - 4. Let j be f(2). Let v be 1 + -3 + (j - 1). Find w such that -630*w**2 - 8 + 218*w**3 + 52*w**3 + 132*w + v*w**3 = 0.
2/19, 2/7
Let x(v) be the second derivative of -v**4/10 + 157*v**3/10 - 1359*v**2/10 + 3290*v. Find t, given that x(t) = 0.
3, 151/2
Let f(l) be the first derivative of -4/3*l**3 + 36*l - 124 - 16*l**2. Factor f(w).
-4*(w - 1)*(w + 9)
Let o(m) = 50*m + 251. Let u be o(-5). Let r be (-936)/180 - (u - (5 + 2)). Suppose 2*t**3 + 0 + 0*t + 4/5*t**2 - r*t**5 + 2/5*t**4 = 0. Calculate t.
-1, -1/2, 0, 2
What is i in 0*i + 0 - 14/13*i**3 + 2/13*i**4 + 24/13*i**2 = 0?
0, 3, 4
Let s(b) be the second derivative of -b**7/21 - 7*b**6/5 - 58*b**5/5 - 8*b**4/3 + 160*b**3 + 400*b**2 + 2*b + 642. Solve s(c) = 0 for c.
-10, -2, -1, 2
Let p = 40496 - 283427/7. Let -3/7*h**3 - p*h - 3 - 27/7*h**2 = 0. What is h?
-7, -1
Let o be (314/4 + -1)/((-7)/(-14)). Factor -33*j**2 + 517*j - 768 + 92*j**2 + o*j + 34*j**2 + 0*j**3 + 3*j**3.
3*(j - 1)*(j + 16)**2
Let z(v) be the second derivative of -v**5/100 - v**4/12 + 11*v**3/10 - 27*v**2/10 - 1421*v. What is p in z(p) = 0?
-9, 1, 3
Let c be (138 - 138)*2/6. Let m(p) be the third derivative of 1/5*p**5 + 1/30*p**6 - 14*p**2 + 0*p + 0*p**3 + c + 1/3*p**4. Determine y so that m(y) = 0.
-2, -1, 0
Let s(r) = -5*r**3 - 205*r**2 + 5*r + 217. Let q(k) = 7*k**3 + 203*k**2 - 7*k - 219. Let u(l) = -3*q(l) - 4*s(l). Solve u(w) = 0 for w.
-1, 1, 211
Let v(x) = -9*x**2 + 1712*x + 13862. Let p be v(198). Factor 1720*w**3 + 25/4 + 405/4*w + 620*w**p + 320*w**5 + 1920*w**4.
5*(w + 5)*(4*w + 1)**4/4
Let n(c) be the first derivative of c**6/18 - 2*c**5/15 + c**4/12 - 1061. Factor n(o).
o**3*(o - 1)**2/3
Let l be 21/840*(-24)/(-42). Let f(r) be the third derivative of 0 + 1/40*r**6 + l*r**7 - 1/20*r**5 - 1/8*r**4 - 8*r**2 + 0*r**3 + 0*r. Factor f(q).
3*q*(q - 1)*(q + 1)**2
Let a = 1924414/15 + -128442. Let s = 148 + a. Solve -4/15*j + 2/15*j**4 + s*j**3 + 0 - 2/15*j**2 = 0.
-2, -1, 0, 1
Let v(s) be the first derivative of s**6/180 + s**5/90 - s**4/6 - 21*s**2/2 + 41. Let y(o) be the second derivative of v(o). Suppose y(w) = 0. What is w?
-3, 0, 2
Factor -2932/7*k - 2149156/7 - 1/7*k**2.
-(k + 1466)**2/7
Let n(v) be the third derivative of v**6/180 - 2*v**5/15 - 61*v**3/2 + 17*v**2 + 4*v. Let w(t) be the first derivative of n(t). Suppose w(c) = 0. What is c?
0, 8
Let q be ((-660)/(-72) + -9)*0. Let r(g) be the third derivative of 6*g**2 + 1/42*g**4 + 0*g + 0 + q*g**3 + 1/210*g**5. Solve r(u) = 0.
-2, 0
Let h(q) be the second derivative of q**5/60 - 95*q**4/36 + 839*q**3/18 + 935*q**2/6 + 10888*q. Determine m, given that h(m) = 0.
-1, 11, 85
Let u = 510 + -494. Let l = -4 - -8. Factor -4*v**4 + 12*v**2 - 10 - l + u*v - 9 - 8*v**3 + 7.
-4*(v - 1)**2*(v + 2)**2
Let x(k) be the second derivative of -5*k**4/12 + 2245*k**3/6 + 1125*k**2 + 6450*k. Factor x(i).
-5*(i - 450)*(i + 1)
Let h(q) be the third derivative of -q**7/315 - 49*q**6/360 - 33*q**5/20 + 3*q**4 + 120*q**3 - 97*q**2 + 6*q. Let h(t) = 0. Calculate t.
-12, -3, 5/2
Suppose -3*i - 3*v = -i - 19, -5*v = 2*i - 29. Find q such that -30*q - 80*q**2 + 49*q**3 + 5*q**4 - 45 - 19*q**3 + 120*q**i = 0.
-3, -1, 1
Let f(w) be the third derivative of w**9/4320 - w**8/1120 - w**7/63 + w**6/30 + 11*w**5/5 + 4*w**2 - 7. Let q(l) be the third derivative of f(l). Factor q(a).
2*(a - 3)*(a + 2)*(7*a - 2)
Suppose -433 + 435/2*v - 1/2*v**2 = 0. Calculate v.
2, 433
Let v(c) = -c**2 + 11*c + 14. Let s be v(11). Suppose -s*n = 4*n - 36. Factor 5/2*m**3 - 1 - 9/2*m**n - 1/2*m**4 + 7/2*m.
-(m - 2)*(m - 1)**3/2
Let b(p) be the second derivative of p**5/140 + 211*p**4/42 + 838*p**3/21 + 836*p**2/7 - 244*p - 2. Factor b(z).
(z + 2)**2*(z + 418)/7
Let l be -9 - ((-272)/408 + (-1)/(60/1652)). Factor 0*s**3 + l*s**2 + 192/5 - 4/5*s**4 + 256/5*s.
-4*(s - 6)*(s + 2)**3/5
Let f be (-7 + 9 - (-2)/(-4))*20. Solve 3*j**4 + 52 - 30*j - 36*j**2 + f*j**3 - 4 - 15 = 0.
-11, -1, 1
Let l = 284/1167 + 424/389. Solve 4/9*k**2 - 2/9*k**3 - l + 10/9*k = 0.
-2, 1, 3
Factor -52 - 254 - 4*j**2 - 11995*j + 12187*j - 62.
-4*(j - 46)*(j - 2)
Let f(b) be the first derivative of 120125*b**3/3 - 4650*b**2 + 180*b - 664. Determine s so that f(s) = 0.
6/155
Let y(s) be the third derivative of s**7/3780 - 17*s**6/1080 - s**5/10 + 21*s**4/4 + 50*s**2. Let c(w) be the second derivative of y(w). Factor c(i).
2*(i - 18)*(i + 1)/3
Let h(k) be the first derivative of -85 - 50/3*k**3 - 1152*k - 240*k**2. Factor h(t).
-2*(5*t + 24)**2
Let -234 + 794 - 4*x**3 - 3114*x**2 + 404*x + 3406*x**2 - 1252*x = 0. Calculate x.
1, 2, 70
Let z(g) be the third derivative of 4*g**7/1995 - 22*g**6/285 - 441*g**5/190 + 73*g**4/12 - 352*g**3/57 - 570*g**2. Suppose z(k) = 0. What is k?
-11, 1/2, 32
Factor -777/2*o**2 + 775/2*o + 1.
-(o - 1)*(777*o + 2)/2
Suppose -502*r = 853*r. Suppose 0*m - m**3 + m**4 - 1/4*m**5 + r + 0*m**2 = 0. Calculate m.
0, 2
Let a(s) be the first derivative of s**4/12 - 7*s**3 + 40*s**2 - 82*s + 22. Let v(k) be the first derivative of a(k). Factor v(b).
(b - 40)*(b - 2)
Let r(n) be the first derivative of 70 - 125/4*n**4 + 5*n**2 + 0*n + 25/3*n**3. Factor r(a).
-5*a*(5*a - 2)*(5*a + 1)
Let q(a) = -a**3 - 9*a - 4. Let x(i) be the first derivative of -2*i**3/3 - 85. Let b(d) = -2*q(d) - 6*x(d). Factor b(o).
2*(o + 1)**2*(o + 4)
Find p, given that 1324*p + 1050625 - 1023*p + 1749*p + p**2 = 0.
-1025
Let p(c) be the second derivative of c**7/3150 - c**6/300 - 5*c**4/12 + 5*c**2/2 + 2*c - 16. Let b(f) be the third deriva