((-6)/2114)*(-40)/(-8850). Let d = j - -4/177. Factor 4/5 + k**3 + 21/5*k**2 + d*k.
(k + 2)**2*(5*k + 1)/5
Let r(x) be the first derivative of 0*x - 52 - 1/21*x**3 + 3/2*x**2. Determine t so that r(t) = 0.
0, 21
Find s, given that -31*s**2 + 8*s**2 - 2*s**2 - 40*s**2 - 67*s**2 + 130*s + 2*s**3 = 0.
0, 1, 65
Suppose 0*u - 2*u = -4. Let s be 10 + (-428)/48 + 9/(-27). Solve -s - 39/8*m - 27/8*m**3 - 15/2*m**u = 0 for m.
-1, -2/9
Let y(j) = 2*j**2 + 10*j - 43. Let m be y(3). Let -48*g**3 + 12*g**m - 16*g + 48*g**2 - 58*g**4 + 19*g + 38*g**4 + 61*g = 0. Calculate g.
-4/3, -1, 0, 2
Let y = 30492 - 30489. Let o(r) be the first derivative of 17 - 1/3*r + 1/3*r**y - 1/3*r**2. Factor o(a).
(a - 1)*(3*a + 1)/3
Let m be ((-802)/38 - (-450 - -429)) + 40/19. Let y = 161 - 476/3. Factor 1/3*j**m + y*j - 8/3.
(j - 1)*(j + 8)/3
Let o(x) be the second derivative of -x**9/128520 - x**8/9520 - x**7/2380 + 61*x**4/6 - 133*x. Let l(h) be the third derivative of o(h). Solve l(q) = 0.
-3, 0
Let 2/3*w**5 + 1056*w + 1240/3*w**3 + 0 + 1432*w**2 + 38*w**4 = 0. Calculate w.
-44, -6, -1, 0
Let j(n) = 24*n**2 + 64*n - 154. Let x = -267 - -261. Let o(c) = -5*c**2 - 13*c + 31. Let t(v) = x*j(v) - 28*o(v). Factor t(y).
-4*(y - 2)*(y + 7)
Let t = 413 + -411. Find b, given that -4*b**4 - t*b**5 + 5*b**3 + 7*b**3 + 3*b**3 - 8*b - 16 - 5*b**3 + 20*b**2 = 0.
-2, -1, 1, 2
Let w be (1 - 4)*(-51)/((-2754)/(-72)). Solve -7/11*r**3 + 6/11*r**2 + 0*r + 1/11*r**w + 0 = 0.
0, 1, 6
Let a(s) be the first derivative of -s**6/1620 + 11*s**5/270 + 23*s**4/108 - s**3 - s**2/2 - 112. Let n(u) be the third derivative of a(u). Factor n(b).
-2*(b - 23)*(b + 1)/9
Let f(a) be the third derivative of a**9/90720 + a**8/1260 - 5*a**7/1512 + 17*a**5/6 - 75*a**2. Let s(m) be the third derivative of f(m). Factor s(y).
2*y*(y - 1)*(y + 25)/3
Let j = 233/99 - 1567/792. Determine d, given that 15*d + 150 + j*d**2 = 0.
-20
Let s(v) = -16*v - 171. Let x be s(-11). Factor 361*t**2 - 349*t**2 - x*t + 11*t - 20 + 2*t**3.
2*(t - 1)*(t + 2)*(t + 5)
Let m = -209542 - -628676/3. Find s, given that -15*s - 5/3*s**5 - 5*s**4 - 10/3*s**2 + m*s**3 + 25/3 = 0.
-5, -1, 1
Let c(r) be the third derivative of -1/80*r**6 + 0 + 0*r - 1/18*r**4 + 19/180*r**5 + 18*r**2 + 0*r**3. Determine i, given that c(i) = 0.
0, 2/9, 4
Let m(l) be the first derivative of 2*l**5/35 - 19*l**4/7 - 418*l**3/21 - 258*l**2/7 - 9510. Determine s so that m(s) = 0.
-3, -2, 0, 43
Let n(h) = 127*h**2 - 856*h + 843. Let j(k) = 233*k**2 - 1711*k + 1687. Let v(w) = -6*j(w) + 11*n(w). Suppose v(r) = 0. Calculate r.
1, 849
Let p be 1882/240 - (-68)/510. Let l = -38/5 + p. Factor 0 + l*y**2 + 0*y + 15/8*y**3 + 3/2*y**4.
3*y**2*(y + 1)*(4*y + 1)/8
Let d(u) = u**2 + 6*u + 7. Suppose 9*p = 7 - 52. Let f be d(p). Factor -56*c - 8*c**2 + 3*c**2 - 5*c**f - 2*c**2 + 6*c**3 + 2*c**4 - 48.
2*(c - 3)*(c + 2)**3
Let u(k) be the first derivative of -3*k**4/16 - k**3/3 + 5*k**2/8 + k/2 + 760. Let u(x) = 0. What is x?
-2, -1/3, 1
Suppose 72*y - 66*y = 18. Factor -25*r**3 + 70*r**2 + 108 - 780*r + 10*r**4 + 252 + 54*r**y + 66*r**3.
5*(r - 2)*(r + 6)**2*(2*r - 1)
Suppose 0 = 17*f - 15*f + 8, -d - 5*f = 17. What is l in -1/2*l + 1/2*l**d - 1 + l**2 = 0?
-2, -1, 1
Factor o**3 + 272*o + 321*o + 477*o - 5832 + 91*o - 62*o**2.
(o - 27)**2*(o - 8)
Let f(x) be the second derivative of 137/30*x**5 - 14*x + 7/18*x**4 + 1/5*x**6 - 9/7*x**7 - 3 - 56/9*x**3 - 16/3*x**2. Determine c, given that f(c) = 0.
-1, -4/9, 1
Determine h so that 0 - 45/2*h**2 - 3/2*h**3 - 54*h = 0.
-12, -3, 0
Let n(t) be the second derivative of -t**5/50 - 41*t**4/3 + 824*t**3/15 + 8480*t. Let n(y) = 0. Calculate y.
-412, 0, 2
Let m(q) be the first derivative of -2/5*q**5 + 0*q - 20 - 3/4*q**4 - 1/12*q**6 - 1/4*q**2 - 2/3*q**3. Find j such that m(j) = 0.
-1, 0
Let y(d) be the third derivative of 7*d**5/300 - 103*d**4/20 + 88*d**3/15 - 4284*d**2. Solve y(h) = 0.
2/7, 88
Let r(j) = -2*j - 22. Let z be r(-12). Factor -u**3 - 9*u**z + 25*u**2 + 68 - 68.
-u**2*(u - 16)
Find s, given that 104361 - 164439 - 467109 - 3144*s - 390201 + 93660 - 3*s**2 = 0.
-524
Solve 0 + 2/3*x**4 - 122/3*x**3 + 118*x + 230/3*x**2 = 0.
-1, 0, 3, 59
Let l(o) be the second derivative of o**6/195 - 21*o**5/130 + 71*o**4/78 - 17*o**3/13 + 4*o + 42. Let l(s) = 0. What is s?
0, 1, 3, 17
Suppose 5*m + 3*p = 1903, -10*p = -4*m - 14*p + 1516. Let o = m - 383. Factor -2/3*j - 2/9*j**2 + o.
-2*j*(j + 3)/9
Let d(h) be the first derivative of 2*h**5/5 + h**4/4 - h**3/3 - 1862. Factor d(b).
b**2*(b + 1)*(2*b - 1)
Let k be -24 + (-11)/(4950/(-10860)). Let m(p) = -2*p + 8. Let j be m(3). Determine r, given that -k*r**4 + 2/15*r**3 + 0*r + 0 - 2/15*r**5 + 2/15*r**j = 0.
-1, 0, 1
Let x(g) be the first derivative of g**3/2 - 57*g**2/2 - 252*g + 203. What is r in x(r) = 0?
-4, 42
Suppose -33*m + 32*m = -3*q - 13, -4*q - 16 = -m. Let y(r) be the third derivative of 0*r**m + 1/15*r**5 - 2/3*r**3 + 0*r - 20*r**2 + 0. Factor y(z).
4*(z - 1)*(z + 1)
Let o(q) = 5*q + 211. Let v be o(-31). Let g be (2/7)/(8/v*1). Solve -2/5*h**3 - 6/5*h + 0 - 8/5*h**g = 0 for h.
-3, -1, 0
Let n = -172 - -174. Factor -40*a - 10*a**n + 12*a**2 - 37*a**2 + 5*a**3.
5*a*(a - 8)*(a + 1)
Let f be ((-4)/(-10))/((-19)/5) + 185600/88160. Factor 10/7*c**f - 10/7 - 3*c.
(2*c - 5)*(5*c + 2)/7
Let y(q) be the first derivative of q**3/12 - 57*q**2/8 - 45*q - 352. Factor y(t).
(t - 60)*(t + 3)/4
Suppose -y + j = 5*j + 4, 2*j = 4*y - 20. Let k = -84/169 - -928/507. Let -4*p + y*p**2 + 4/3 - k*p**3 = 0. What is p?
1
Suppose 4*v = 4*s - 40, -2*s - v + 1 = -13. Find f such that -2*f**4 + 8*f - 14752*f**2 + 14754*f**2 + 0*f - s*f**3 = 0.
-4, -1, 0, 1
Suppose 0 = -j + 131 - 103. Factor -2*i**2 + 13*i**3 - 6*i**5 - 26*i**2 - j*i + 10*i**4 + 32 + 7*i**5.
(i - 1)**2*(i + 2)**2*(i + 8)
Factor -3 - 232*d - 692*d**2 + 585*d**2 - 5*d**3 - 73.
-(d + 2)*(d + 19)*(5*d + 2)
Let l(a) be the first derivative of -3*a**5/5 - 21*a**4/8 + 3*a**3 + 21*a**2/4 - 6*a - 201. Find h such that l(h) = 0.
-4, -1, 1/2, 1
Let o(d) be the third derivative of d**8/448 + d**7/70 - 7*d**6/160 - 17*d**5/40 - 3*d**4/4 - 735*d**2 - 1. What is m in o(m) = 0?
-4, -2, -1, 0, 3
Let x(p) be the first derivative of -2*p**3/3 + p**2/2 + p - 18. Let w(n) = -8*n**2 - 18*n + 6. Let l(i) = -w(i) + 6*x(i). Factor l(m).
-4*m*(m - 6)
Suppose -448/15 - 30*w - 2/15*w**2 = 0. Calculate w.
-224, -1
Factor 61/2*z + 125/4*z**2 - 62 + 1/4*z**3.
(z - 1)*(z + 2)*(z + 124)/4
Let j(w) = w**3 + 13*w**2 - 116*w - 36. Suppose -19 - 38 = 3*m. Let z be j(m). Factor -2/9 + 4/9*s - 2/9*s**z.
-2*(s - 1)**2/9
Let x(c) be the second derivative of 23 - 1/12*c**4 - 3*c - 22*c**3 - 2178*c**2. Suppose x(u) = 0. Calculate u.
-66
Let s(v) be the second derivative of v**4/21 + 32*v**3/21 - 160*v**2/7 - 1382*v. Let s(c) = 0. What is c?
-20, 4
Let d(u) be the first derivative of -28/5*u**2 - 148/15*u**3 + 249 - u**4 + 0*u. Factor d(m).
-4*m*(m + 7)*(5*m + 2)/5
Let o be (-36)/(-4) + (-9488)/1056. Let l(g) be the second derivative of 4/33*g**3 + 2*g - 3/11*g**2 + 0 - o*g**4. Factor l(d).
-2*(d - 3)*(d - 1)/11
Determine v so that -156*v + 6*v**3 - 2*v**3 + 6624*v**2 - 12902*v**2 + 6430*v**2 + 0*v**3 = 0.
-39, 0, 1
Factor -2/3*u**2 + 2/3*u + 60.
-2*(u - 10)*(u + 9)/3
Let q(u) be the second derivative of u**7/70 - 6*u**6/25 + 3*u**5/20 + 7*u**4/2 - 18*u**3/5 - 132*u**2/5 - 14*u - 25. Determine f, given that q(f) = 0.
-2, -1, 2, 11
Let v(b) = -b**2 + 11*b - 19. Let j be v(3). Let a(o) = -4 + 12*o - 1 + 3*o. Let k(d) = d**2 - 16*d + 4. Let h(y) = j*k(y) + 4*a(y). Find m such that h(m) = 0.
0, 4
Let r(t) be the third derivative of t**5/30 + 41*t**4/3 + 108*t**3 + 2115*t**2. Determine h, given that r(h) = 0.
-162, -2
Let p(b) = 17*b + 75. Let f be p(-4). Suppose f*i = 14*i - 14. Suppose -1/3*z**i - 5/3*z**3 + 0 + 0*z - 4/3*z**4 = 0. What is z?
-1, -1/4, 0
Let s = 24935/394 - -55/1182. Suppose 430/3*m**2 + 25/3*m**4 - 385/3*m + 121/3 - s*m**3 - 1/3*m**5 = 0. Calculate m.
1, 11
Let c(b) be the third derivative of -b**8/448 - 23*b**7/280 + 39*b**6/80 + 116*b**2. Suppose c(t) = 0. Calculate t.
-26, 0, 3
Let c = 38 - 11. Suppose 0 = -6*a + 93 + c. Suppose 30*d + 2*d**3 + 6*d**2 - 434 - a*d**2 + 416 = 0. What is d?
1, 3
Let x(t) be the first derivative of t**3 + 675*t - 41*t**2 + 8*t**2 + 74 - 12