et l = -507260/5721 - 2/5721. Let f = -1327/15 - l. Solve -f*m**5 + 2/5*m**3 - 1/5*m - 2/5*m**2 + 1/5*m**4 + 1/5 = 0.
-1, 1
Let r(c) be the first derivative of -3*c**4/4 + 21*c**3 - 165*c**2 - 1179. Factor r(u).
-3*u*(u - 11)*(u - 10)
Let u(k) be the second derivative of -k**6/20 - 21*k**5/40 - 7*k**4/4 - 2*k**3 - 926*k. Solve u(b) = 0.
-4, -2, -1, 0
Let w(q) = -11*q**3 - 163*q**2 + 23*q - 99. Let z be w(-15). What is d in z*d**3 + 27 + 6*d**4 - 9/2*d - 33*d**2 - 3/2*d**5 = 0?
-2, -1, 1, 3
Solve 9 + 5/4*s**4 - 7/2*s**3 + 9*s - 19/4*s**2 = 0.
-6/5, -1, 2, 3
Let w(n) be the second derivative of -n**5/5 - 44*n**4/3 - 1258*n**3/3 - 5780*n**2 + n + 28. Factor w(p).
-4*(p + 10)*(p + 17)**2
Factor 4/7*q**3 + 864/7 - 88/7*q**2 + 240/7*q.
4*(q - 18)*(q - 6)*(q + 2)/7
Let n(w) be the third derivative of -192*w**2 - 1/3*w**3 + 11/36*w**4 + 0*w + 2/45*w**5 + 0. Factor n(f).
2*(f + 3)*(4*f - 1)/3
Let i(v) = v**3 + 4*v**2 - 7. Let z be i(-3). Suppose -2*b = 3*y + 1, 3*y - 28 = z*y + 5*b. Find w such that -1361 + 1361 + 2*w**y + 2*w**5 + 4*w**4 = 0.
-1, 0
Let f(a) be the first derivative of -13/3*a**3 + 245 - 20*a - 16*a**2 - 1/4*a**4. Factor f(z).
-(z + 1)*(z + 2)*(z + 10)
Let d = 425 + -377. Let p be (4 - (-68)/(-18)) + d/27. Factor -8/3 + 0*u + 2/3*u**p.
2*(u - 2)*(u + 2)/3
What is p in -40*p**2 - 19*p**3 + 1/2*p**4 + 0*p + 0 = 0?
-2, 0, 40
Let l = -648 + 680. Let n be 5/(-9)*(l/10)/(-8). Determine f, given that 8/9*f**4 + 0 + 4/9*f**2 + n*f - 14/9*f**3 = 0.
-1/4, 0, 1
Suppose 854 = -99*u + 1799 + 1827. Let l(v) be the first derivative of u - 3/2*v**2 + 1/4*v**3 + 9/4*v. Let l(j) = 0. Calculate j.
1, 3
Let q(y) = -16*y**4 - 160*y**3 - 164*y**2 + 142*y + 180. Let p(l) = l**4 + l - 1. Let n(z) = -18*p(z) - q(z). Factor n(h).
-2*(h - 81)*(h - 1)*(h + 1)**2
Let v = -2031/20 - -1017/10. Let y(c) be the first derivative of v*c**5 + 1/4*c**3 + 0*c + 42 + 3/8*c**4 + 0*c**2. What is n in y(n) = 0?
-1, 0
Let y = -88731 - -354925/4. Factor -3/2*t + 1/4*t**4 - 7/4*t**3 - 13/4*t**2 + y*t**5 + 0.
t*(t - 3)*(t + 1)**2*(t + 2)/4
Let i = 166 - 113. Let a = -48 + i. Suppose 5 + 9*m**4 - a - 4*m**4 + 60*m**3 + 320*m + 240*m**2 = 0. Calculate m.
-4, 0
Suppose -6*j - j = -2730. Let y = j - 388. Factor -8/7*i - 8/7*i**y + 0 - 2/7*i**3.
-2*i*(i + 2)**2/7
Suppose 2*g - 3*g = -18. Let a = -461 - -467. Suppose 5*p + 48*p**3 + g*p**2 + 18*p**2 + 20*p**4 + a*p - 3*p = 0. Calculate p.
-1, -2/5, 0
Let o(l) = 5*l**3 + 7*l**2 - 35*l + 14. Let x(h) = h**3 - 2*h**2 - 4*h + 2. Let b(w) = -5*o(w) + 15*x(w). Determine a, given that b(a) = 0.
-8, 1/2, 1
Let h(z) be the first derivative of 2*z**5/45 - 142*z**4/9 - 572*z**3/27 + 284*z**2/9 + 190*z/3 + 3852. Let h(j) = 0. Calculate j.
-1, 1, 285
Let h(u) be the first derivative of 4*u**3/3 - 240*u**2 + 1404*u - 5573. Factor h(a).
4*(a - 117)*(a - 3)
Factor -5*m**3 + 134*m**2 - 151*m**2 - 555*m + 405 + 137*m**2 + 35*m**2.
-5*(m - 27)*(m - 3)*(m - 1)
Suppose 5*t + 3*s - 726 = 0, -17*s = -15*s - 4. Factor -37*h - t - h**2 + 99 + 83.
-(h - 1)*(h + 38)
Factor 42*s**2 + 142 + 64*s - 10 - 44*s**2 + 11 - 7.
-2*(s - 34)*(s + 2)
Let r(p) be the first derivative of -25/12*p**3 - 25/2*p + 135/8*p**2 - 109. Factor r(m).
-5*(m - 5)*(5*m - 2)/4
Let j(y) = 8*y**3 - 504*y**2 - 514*y + 1024. Let g(p) = -27*p**3 + 1509*p**2 + 1541*p - 3072. Let v(k) = -2*g(k) - 7*j(k). Let v(t) = 0. What is t?
-2, 1, 256
Let g(y) be the third derivative of -y**7/42 + y**6/2 - y**5/3 - 40*y**4 + 800*y**3/3 - 4394*y**2. Solve g(r) = 0.
-4, 2, 4, 10
Let n(b) be the second derivative of b**4/6 + 13*b**3/3 + 16*b**2 + 113*b. Let o(f) = f**2 + 28*f + 33. Let j(t) = -3*n(t) + 4*o(t). Factor j(y).
-2*(y - 18)*(y + 1)
Let l(a) be the third derivative of -16/15*a**3 - 27*a - 13/12*a**4 - 2/75*a**5 + 0 - 2*a**2. Factor l(q).
-2*(q + 16)*(4*q + 1)/5
Factor 70*v**3 + 5/3*v**4 - 465*v**2 + 720*v + 0.
5*v*(v - 3)**2*(v + 48)/3
Suppose -23*v - 926 = j - 25*v, -j = 4*v + 926. Let q = -920 - j. Factor q*b**2 + 3/2*b**5 + 9*b**3 + 3/2*b + 6*b**4 + 0.
3*b*(b + 1)**4/2
Suppose -3*v + 70 = -80. Let t = v - 43. Determine y so that 5*y**3 + y - 5 - y - 15*y**2 + 8*y + t*y = 0.
1
Suppose -4*z - 21 = -3*p, -13*p + 4 = -17*p. Let v(s) = -5*s**2 - 13*s - 2. Let q(n) = -n**2 - n + 2. Let w(j) = z*q(j) + 3*v(j). Solve w(r) = 0 for r.
-3, -2/3
Let t be -1 + 8 - 144/48. Find s such that -t*s + 69 - 32 - 4*s**2 - 29 = 0.
-2, 1
Let 1440/7*w + 124/7*w**3 - 782/7*w**2 - 6/7*w**4 - 648/7 = 0. Calculate w.
2/3, 2, 9
Let u(v) be the first derivative of 4*v**3/27 + 224*v**2/9 + 12544*v/9 - 6819. Factor u(m).
4*(m + 56)**2/9
Let c(v) = 12*v**2 + 44*v - 28. Let r(j) = 12*j**2 + 45*j - 27. Suppose -2*y + 13*y - 55 = 0. Let f(m) = y*c(m) - 4*r(m). Suppose f(q) = 0. What is q?
-4, 2/3
Let x be ((-4300)/(-105))/1 + (-8)/(-6). Let f = -3242/77 + x. Factor -f + 16/11*z + 18/11*z**2.
2*(z + 1)*(9*z - 1)/11
Let 8065*y - 51581*y**2 + 627*y**3 + 47817*y**2 - 2410*y - 18 = 0. Calculate y.
2/627, 3
Let k(q) = -q**3 - 10*q**2 - 8*q + 29. Let c be k(-9). Determine o, given that 14*o**2 - c*o**4 - 24 + 9*o**2 - 32*o + 16*o**4 + 2*o**3 + 11*o**2 = 0.
-3, -1/2, 2
Let r(h) be the first derivative of -h**6/120 + h**5/30 + h**4/3 + h**2 + 15*h - 49. Let k(b) be the second derivative of r(b). Factor k(z).
-z*(z - 4)*(z + 2)
Let x(n) be the second derivative of n**7/21 - 3*n**5/5 - 4*n**4/3 - n**3 - 21*n - 175. Factor x(w).
2*w*(w - 3)*(w + 1)**3
Let d be (-37 - 8772/(-238)) + 2/14. Factor d - 1/8*o**3 - 1/4*o**2 - 1/8*o.
-o*(o + 1)**2/8
Let m be (9 + -8)*2/(-7)*-7. Factor -125 - 28*s**2 + 26*s**m - 12*s + 107.
-2*(s + 3)**2
Let h(m) be the third derivative of 0*m**3 + 0*m + 3/4*m**4 + 1/30*m**5 + 0 + 58*m**2. Factor h(q).
2*q*(q + 9)
Let o = 3006301/5 - 601260. Factor w**3 + 43/5*w - 31/5*w**2 - 18/5 + o*w**4.
(w - 2)*(w - 1)**2*(w + 9)/5
Let v(n) be the third derivative of -n**6/280 + 229*n**5/70 + 459*n**4/56 + 14*n**2 - 12*n. Let v(f) = 0. Calculate f.
-1, 0, 459
Let z(r) be the first derivative of r**5/210 - 2*r**4/21 - 15*r**2/2 - 176. Let o(i) be the second derivative of z(i). Let o(h) = 0. Calculate h.
0, 8
Let k(o) = 8*o**3 - 5*o**2 - 10*o - 12. Let b(s) = 20*s + 22 - 50*s**3 - 33*s**3 + 9*s**2 + 69*s**3. Let j(u) = 6*b(u) + 10*k(u). Suppose j(c) = 0. Calculate c.
-1, 3
Let f(i) be the second derivative of -1/30*i**5 - 7/6*i**4 - 9/2*i**2 - 7*i - 7/2*i**3 + 1/18*i**6 + 1/126*i**7 + 5. Suppose f(k) = 0. Calculate k.
-3, -1, 3
Let u be (15 - -1 - 12)/(2 - 0). Let i(v) be the third derivative of -13/600*v**5 + 0*v + 0*v**3 + 10*v**u - 1/120*v**4 + 0. What is s in i(s) = 0?
-2/13, 0
Let t(u) be the third derivative of -u**8/1176 - u**7/147 + 2*u**5/21 + 4*u**4/21 + 116*u**2 - 1. Suppose t(y) = 0. What is y?
-4, -2, -1, 0, 2
Let j = 44 + -40. Factor 543 - 59 - 72*z + j*z**2 - 16*z.
4*(z - 11)**2
Let l = -3129 + 3148. Let o(p) be the first derivative of -245/4*p**4 - 10*p - 350/3*p**3 - 115/2*p**2 - l. Solve o(n) = 0.
-1, -2/7, -1/7
Let m(g) be the first derivative of -4*g**6/9 - 86*g**5/15 - 125*g**4/6 - 124*g**3/9 + 8*g**2 + 6889. Solve m(a) = 0 for a.
-6, -4, -1, 0, 1/4
Let d(s) be the first derivative of 8/5*s**5 + 61 - 149/2*s**4 + 648*s - 1656*s**2 + 2954/3*s**3. Solve d(p) = 0.
1/4, 1, 18
Let u be (4185/(-90) + 47)/((-14)/(-4) - 0). Let a(s) be the first derivative of 24/7*s**2 - 8/7*s**3 - 32/7*s - 23 + u*s**4. Factor a(x).
4*(x - 2)**3/7
Suppose 3*l = -4*m + 2, -5*m + 5*l + 17 = -3. Let 30 - 38*w + 18*w + 5*w**m - 5*w = 0. Calculate w.
2, 3
Let c(x) be the third derivative of 0*x + 0 + 54/5*x**5 + 3*x**4 + 25*x**2 + 1/3*x**3. Let c(m) = 0. Calculate m.
-1/18
Let p(m) = m**2 + 14*m + 12. Let g be p(-11). Let z = -17 - g. Suppose 5*h**2 + 49 - 5*h**z + 42 - 91 = 0. Calculate h.
-1, 0, 1
Let w(m) be the first derivative of -m**5 - 15*m**4/2 - 20*m**3 - 20*m**2 - 493. Factor w(r).
-5*r*(r + 2)**3
Factor -29/2*q**2 - 7/4*q**3 + 9/2 + 47/4*q.
-(q - 1)*(q + 9)*(7*q + 2)/4
Let h(k) be the third derivative of -k**8/1344 - 11*k**7/840 - k**6/30 + 11*k**5/60 - 32*k**2. Let m(p) be the third derivative of h(p). Solve m(b) = 0 for b.
-4, -2/5
Factor 154/3*k - 1/3*k**2 + 155/3.
-(k - 155)*(k + 1)/3
Suppose 91*u - 9 + 9 = 182. Let w(y) be the second derivative of -7*y + 0 + 1/27*y**3 + 1/45*y**5 + 0*y**u - 1/18*y**4. What is t in w(t) = 0?
0