44*-94. Suppose -o*y - 3/5*y**2 - 3/5 = 0. Calculate y.
-3, -1/3
Let g(j) be the third derivative of j**7/735 + 83*j**6/105 + 6889*j**5/35 + 571787*j**4/21 + 47458321*j**3/21 + 1777*j**2. Factor g(u).
2*(u + 83)**4/7
Let y = 274 + -189. Suppose 5*f + 0*f - y = 0. Suppose -12*p**2 - f*p + 4*p**3 - 15*p + 32*p + 16 = 0. Calculate p.
-1, 2
Let y = 1087 - 1073. Suppose 5*d = 9*d - 36. Factor -11 - y - 20*w + d + w**2 - 5*w**2.
-4*(w + 1)*(w + 4)
Let a = 4/206851 + -63710928/42404455. Let b = 4/41 - a. Determine x so that b*x**3 - 4/5*x**4 + 0*x + 16/5*x**2 + 0 - 2/5*x**5 = 0.
-2, 0, 2
Let h = 7038 - 7035. Let t be 1/6 - 43/(-30). Let -12/5*x**2 + 4/5*x**4 + t + 4/5*x**h - 4/5*x = 0. What is x?
-2, -1, 1
Suppose -u = -3*z + 5, -14*u + 2*z = -13*u + 1. Suppose -u*d = -11 - 10. Factor 1/5*p**d - 8/5 - 4/5*p + 2/5*p**2.
(p - 2)*(p + 2)**2/5
Let b(g) = 4*g**2 - 76*g. Let v(k) = 12*k**2 - 246*k. Let q(d) = 11*b(d) - 4*v(d). Factor q(z).
-4*z*(z - 37)
Suppose -80/7*v + 702/7 + 2/7*v**2 = 0. Calculate v.
13, 27
Suppose 11*k = 438 - 405. Let y(w) be the first derivative of -8/5*w**5 + 0*w - 1/3*w**6 - w**2 - 8/3*w**k - 3*w**4 - 4. Factor y(n).
-2*n*(n + 1)**4
Let q(r) be the third derivative of -r**8/26880 + r**6/180 + r**4/12 - r**3/2 - 2*r**2 - 19. Let t(j) be the second derivative of q(j). Let t(f) = 0. What is f?
-4, 0, 4
Let c = -162 + 166. Determine p, given that -6*p**c - 3*p**5 + 8 + 0*p**5 + 6*p**3 - 4*p + p + 12*p**2 - 14 = 0.
-2, -1, 1
Let h(c) be the third derivative of c**7/840 - c**6/15 - 25*c**4/8 - c**2 + 17. Let u(q) be the second derivative of h(q). Factor u(i).
3*i*(i - 16)
Let m be -2 + -3 - -11 - 2. Let h be 0 + m/20 - (-2 - -2). Suppose 1/5*f + h*f**5 + 1/5 - 2/5*f**2 - 2/5*f**3 + 1/5*f**4 = 0. Calculate f.
-1, 1
Let h = -13263 + 66526/5. Let k = h - 1457/35. Determine p so that 4/7*p + 0*p**2 + k*p**5 + 0*p**4 + 0 - 8/7*p**3 = 0.
-1, 0, 1
Let q be 475/30 + 145/(-30) + 5. Factor -4*g**3 - 84*g + q*g**2 - 54 + 16*g**2 + 126.
-4*(g - 3)**2*(g - 2)
Let d be 1*(-2)/15 + (-368)/(-1035). Let -d*h**2 - 2 - 4/3*h = 0. What is h?
-3
Let k = 164 + -14032/85. Let q = k - -32/17. Solve q + 2/5*g - 2/5*g**2 = 0.
-1, 2
Let u = -181 - -172. Let r be 2/35 + ((-620)/70 - u). Factor r*z**2 + 6/5*z + 9/5.
(z + 3)**2/5
Let b(q) be the second derivative of 1 - 289/7*q**2 + 34/21*q**3 - 165*q - 1/42*q**4. Factor b(s).
-2*(s - 17)**2/7
Let d(z) be the second derivative of 9/2*z**2 - 1/30*z**6 + 2*z - 2/3*z**4 + 3/10*z**5 + 13 - z**3. Factor d(n).
-(n - 3)**2*(n - 1)*(n + 1)
Let i = 17509/114231 - -5/8787. Factor -882/13 - 84/13*c - i*c**2.
-2*(c + 21)**2/13
Let h(l) be the third derivative of l**7/1050 + 11*l**6/60 - 143*l**5/75 + 59*l**4/20 + 69*l**3/2 - 5117*l**2. Suppose h(k) = 0. Calculate k.
-115, -1, 3
Let f(z) be the second derivative of z**4/6 + 968*z**3/3 + 234256*z**2 + 2*z + 1112. Factor f(m).
2*(m + 484)**2
Factor -x + 181*x**2 - 2*x**4 + 467*x + 29*x**2 + 240 - 18*x**3.
-2*(x - 8)*(x + 1)**2*(x + 15)
Let h(l) be the second derivative of -2*l**6/75 + 11*l**5/25 - 2*l**4/3 - 623*l. Factor h(o).
-4*o**2*(o - 10)*(o - 1)/5
Suppose -2*k + 6 = -2*d, 23*k - 63*d - 69 = -67*d. Let -24/7*g**k + 0*g - 26/7*g**2 + 2/7*g**4 + 0 = 0. Calculate g.
-1, 0, 13
Let t be 1/(5/(-3))*-5. Let q = -2025 + 2027. Solve -m**q - 1475 + t*m + 1475 = 0.
0, 3
Let 30734/13*d**3 + 18738/13*d**4 + 11174/13*d**2 + 1458/13*d**5 - 2192/13*d + 88/13 = 0. What is d?
-11, -1, 2/27
Factor 1/4*k**2 - 263/4*k - 265/2.
(k - 265)*(k + 2)/4
Factor -4498*o + 48384 - 686*o - 31*o**5 - 1196*o**3 - 6768*o**2 + 17*o**5 - 65*o**4 + 12*o**5 - 17*o**4.
-2*(o - 2)*(o + 7)*(o + 12)**3
Let m = -1421/8 - -4295/24. Let 10/3*j + 4/3*j**2 - 2/3*j**5 - 8/3*j**3 - 8/3*j**4 + m = 0. Calculate j.
-2, -1, 1
Solve 9583/5 - 67/5*l**2 - 1/5*l**3 - 851/5*l = 0.
-37, 7
Factor 3/5*d**2 + 0 - 252*d.
3*d*(d - 420)/5
Suppose 51/2*o**4 + 5/4*o + 53*o**3 - 3/8 + 233/8*o**2 = 0. Calculate o.
-1, -1/6, 3/34
Let p(t) = -24*t - 68. Let j be p(-3). Let d(x) be the first derivative of 10 + 0*x - 6/5*x**5 + 3/8*x**j - 3/4*x**2 + 2*x**3. Solve d(m) = 0.
-1, 0, 1/4, 1
Let 712/9*o + 0 - 2/9*o**2 = 0. Calculate o.
0, 356
Suppose -8 = -4*t + r - 1, 4*t = -2*r + 22. Factor 18*b**2 + 33982*b**t - 33984*b**3 + 3 - 3.
-2*b**2*(b - 9)
Let g be (9/(-2))/(9/(-18)) + 945/(-135). Find y such that 2*y**g - 20/3*y + 0 + 2/3*y**3 = 0.
-5, 0, 2
Factor 440/3 - 440/3*g**2 - 2/3*g**3 + 2/3*g.
-2*(g - 1)*(g + 1)*(g + 220)/3
Let n be 2/(-5) - 17/(-5). Let v be 2/(-14) + (-5 - (-432)/84). Let j**2 - 1/2*j**n + 3/2*j + v = 0. Calculate j.
-1, 0, 3
Let s(w) = 3*w**2 + 127*w - 476. Let q(n) = -n**2 - 43*n + 158. Let h(p) = 8*q(p) + 3*s(p). Determine i so that h(i) = 0.
-41, 4
Let y(j) = 10*j - 215. Let t(v) = -v**2 - 33*v - 244. Let n be t(-14). Let s be y(n). What is f in 5/4*f**4 + 5/2*f + s*f**3 + 25/4*f**2 + 0 = 0?
-2, -1, 0
Let d be (-74)/(-26) - 3 - 123/(-39). Suppose -o - d*i + 5 = 3*o, 4*i - 2 = -3*o. Determine s, given that -1 - 5*s**2 + 2*s + 7*s**o + s**2 = 0.
-1, 1/3
Let a(i) be the second derivative of i**6/90 - 7*i**5/60 - 5*i**4/18 + 8*i**3/9 - 7056*i. Determine f so that a(f) = 0.
-2, 0, 1, 8
Let m be (-8712)/(-60) + -2 + (0 - 6). Factor -2/5*y**5 + m*y - 9604/5 - 476/5*y**3 + 1568/5*y**2 + 52/5*y**4.
-2*(y - 7)**4*(y + 2)/5
Let b = 69 + -18. Let y = b - 30. Factor -6524 + y*q + 6542 + q**3 - 4*q**3.
-3*(q - 3)*(q + 1)*(q + 2)
Let d(g) be the first derivative of -2*g**3/21 + 1052*g**2/7 - 553352*g/7 + 2203. Factor d(m).
-2*(m - 526)**2/7
Let j(v) be the second derivative of 1/14*v**3 + 27/140*v**5 + 2/35*v**6 + 3/14*v**4 - 2*v + 0*v**2 + 6. Solve j(m) = 0 for m.
-1, -1/4, 0
Determine h, given that -60*h**2 - 16*h**3 + 0 + 0*h + 4/3*h**4 = 0.
-3, 0, 15
Let -48 + 202/7*n - 36/7*n**2 + 2/7*n**3 = 0. Calculate n.
3, 7, 8
Let w(r) be the first derivative of -r**4/26 + 58*r**3/39 - 19*r**2 + 78*r - 200. What is q in w(q) = 0?
3, 13
Let y be (408/24480)/((2/2)/2). Let t(m) be the second derivative of -1/75*m**6 + 0*m**3 - y*m**4 + 0*m**2 - 14*m + 0 + 1/25*m**5. Factor t(g).
-2*g**2*(g - 1)**2/5
Let p(h) be the second derivative of 11*h - 1/2*h**7 + 0*h**2 + 0*h**3 + 23/30*h**6 + 0*h**4 - 8 - 1/10*h**5. Factor p(x).
-x**3*(x - 1)*(21*x - 2)
Factor 576/7 - 3/7*b**3 + 66*b + 81/7*b**2.
-3*(b - 32)*(b + 2)*(b + 3)/7
Suppose 3*l + 4 = -2, 5*a - 23 = 4*l. Factor 137 - 131 + 144*n + 4872*n**2 - 489*n + 2523*n**a.
3*(n + 2)*(29*n - 1)**2
Suppose -1090 = -8*z - 1090. Let x(m) be the first derivative of 2*m**4 + z*m**2 + 7 + 0*m**3 + 4/5*m**5 + 0*m. Determine d so that x(d) = 0.
-2, 0
Let b be 1122/2618 + 36/14. Solve 14/3*g + 8/3 + 1/3*g**b + 7/3*g**2 = 0 for g.
-4, -2, -1
Let a(v) = 3*v**3 + v**2 + v. Let o(b) = -2*b**3 + b**2 - b. Suppose -4 = -8*h + 28. Let g(k) = h*o(k) + 4*a(k). Suppose g(c) = 0. What is c?
-2, 0
Let w be ((-220)/308)/(((-4)/(-6))/((-266)/171)). Solve -1/3*f**2 - w + 2*f = 0.
1, 5
Let w(n) be the second derivative of -n**4/6 - 22*n**3/3 - 40*n**2 + n + 210. Factor w(u).
-2*(u + 2)*(u + 20)
Let k(f) be the third derivative of -f**6/144 - 29*f**5/12 - 865*f**4/144 + 2*f**2 + 1180*f + 1. What is c in k(c) = 0?
-173, -1, 0
Suppose 3*c - 19 - 22 = 4*d, 0 = -4*c - 4. Let j be (-7 - 309/(-45))*(-1 + d). Solve -4/5*h + 8/5*h**3 - 4/5*h**4 + j*h**2 - 4/5*h**5 - 4/5 = 0 for h.
-1, 1
Factor -1/4*h**3 - 637/4*h + 1521/2 + 11*h**2.
-(h - 18)*(h - 13)**2/4
Let d(s) be the first derivative of 3*s**4/4 - 21*s**3 + 333*s**2/2 - 273*s - 229. Factor d(w).
3*(w - 13)*(w - 7)*(w - 1)
Suppose 59 = 16*c - 85 + 48. Factor 9/5*n**3 + 24/5 + 12/5*n - c*n**2.
3*(n - 2)**2*(3*n + 2)/5
Let -2/3*n**3 + 40*n - 34/3*n**2 + 0 = 0. What is n?
-20, 0, 3
Factor -58*f**4 + 55*f**4 - 4537*f**2 + 4702*f**2 - 1548*f + 126*f**3.
-3*f*(f - 43)*(f - 3)*(f + 4)
Let q(j) be the first derivative of 2*j**3/15 - 324*j**2/5 - 1304*j/5 + 3948. Determine h, given that q(h) = 0.
-2, 326
Determine h, given that 203/3*h**2 + 100*h**4 + 16/3*h**5 - 17/3 + 488/3*h**3 - 6*h = 0.
-17, -1, -1/2, 1/4
Let d be (-16)/(-12)*(-6)/(-4). Let b(f) = f**2 - 10*f + 11. Let t be b(9). Factor 0*p**2 + 5*p**t - 3*p**d - p**3 - 3*p**2.
-p**2*(p + 1)
Let o(x) = 3*x**2 - 2*x - 3. Let a be o(-1). Suppose -2 = 8*g - a. Factor g - 3/5*i - 6/5*i**2 - 3/5*i**3.
-3*i*(i + 1)**2/5
Let s(d) be the first der