58
Let p be (-14184)/(-10945) + -1 + 60/75. Let b = -1/199 + p. Factor -2/11 - 8/11*d - 8/11*d**3 - b*d**2 - 2/11*d**4.
-2*(d + 1)**4/11
Suppose 6*i + 2*s - 30 = 2*i, -2*s = 5*i - 38. Let a = i - 6. Find v, given that -5*v**2 + 0*v**a - 60*v + 55*v + 30 = 0.
-3, 2
Let p(y) = 144*y**2 + 7*y - 94*y**2 - 31 + 10. Let h be p(3). Solve 6*x**4 - 429*x**5 + h*x**5 - 21*x**3 + 0*x**2 - 6*x**2 = 0 for x.
-1, -2/7, 0, 1
Let c(a) be the first derivative of 5/2*a**4 + 15*a**2 + 0*a + 68 - 35/3*a**3. Find g such that c(g) = 0.
0, 3/2, 2
Let d be (-1654)/(-30) - (306/(-135))/(-17). Let o = 108 + -54. What is p in -o*p - 5*p**2 - 1 + 1 + d*p = 0?
0, 1/5
Let p(d) = -7*d**3 - 2*d**2 - d. Let n be p(-1). Let m(g) = 8*g - 20. Let a be m(n). Factor a + 10*t**2 - 14*t - 11 - 9 - 4.
2*(t - 1)*(5*t - 2)
Let r = -6812 + 6815. Let u(i) be the third derivative of -i**r + 1/40*i**6 - 19*i**2 + 5/8*i**4 + 0 - 1/5*i**5 + 0*i. Solve u(y) = 0 for y.
1, 2
Suppose -3*s**4 + 1/5*s**3 + 8/5 - 36/5*s + 42/5*s**2 = 0. What is s?
-2, 2/5, 2/3, 1
Let l(x) be the first derivative of -2*x**5/5 + 23*x**4/2 + 230*x**3/3 - 179*x**2 - 540*x - 7487. Solve l(d) = 0.
-5, -1, 2, 27
Let s = -31242 - -31245. Factor 3/2*g**2 + 3/2*g**s - 3/2 - 3/2*g.
3*(g - 1)*(g + 1)**2/2
Let n(f) be the third derivative of -f**5/20 - f**4/2 - 2*f**3 + 7*f**2. Factor n(q).
-3*(q + 2)**2
Factor 1 + i**2 - 2*i**3 - 2*i**4 - 1/2*i**5 + 5/2*i.
-(i - 1)*(i + 1)**3*(i + 2)/2
Suppose h - 840 = -4*h. Solve -99*p - 53*p - 43*p - 312*p + h + 9*p**2 = 0 for p.
1/3, 56
Let u(q) = -q**2 - 6*q + 19. Let r be u(2). Factor -159*l + 102 - 297*l**2 + 201*l**2 - r*l**3 + 156*l**2.
-3*(l - 17)*(l - 2)*(l - 1)
Let s = -756 - -761. Factor 20*y + 165 - 23*y**2 - 25*y**3 - 81 + 8*y**2 + s*y**5 + 15*y**4 - 84.
5*y*(y - 1)**2*(y + 1)*(y + 4)
Suppose 9408/5*o + 1/5*o**3 + 9216/5 + 193/5*o**2 = 0. Calculate o.
-96, -1
Let f(l) be the first derivative of 912673*l + 97*l**3 - 218 + 1/4*l**4 + 28227/2*l**2. Factor f(t).
(t + 97)**3
Suppose -9*l + 10*l = -5*x - 20, 3*l + x = -4. Let z(a) = a**3 - 2*a**2 - 21*a + 5. Let h be z(l). Factor -15/2*v**3 - 9/2*v**2 + 0 - 7/2*v**4 - 1/2*v**h + 0*v.
-v**2*(v + 1)*(v + 3)**2/2
Let s(g) be the first derivative of 0*g - 104/9*g**3 - 216/5*g**5 + 4/3*g**2 - 35 + 75/2*g**4. Suppose s(m) = 0. What is m?
0, 2/9, 1/4
What is b in -2/5*b**2 + 2716/5 + 2714/5*b = 0?
-1, 1358
Let o(t) be the first derivative of -t**5/5 - 217*t**4/4 - 215*t**3/3 + 217*t**2/2 + 216*t - 11477. Let o(p) = 0. Calculate p.
-216, -1, 1
Let l(a) be the second derivative of 142*a - 3/2*a**5 - 25/3*a**3 + 1/6*a**6 + 5*a**4 + 0 + 15/2*a**2. Determine z, given that l(z) = 0.
1, 3
Let i(w) = -4*w + 11. Let y be i(2). What is p in 7*p + 54696*p**3 + 11 - 5 - 54697*p**y = 0?
-2, -1, 3
Let o(i) be the third derivative of 654481*i**5/60 - 809*i**4/6 + 2*i**3/3 - 2*i**2 - 3*i - 6. Factor o(d).
(809*d - 2)**2
Let u be (567/245)/3 - 5/25. Suppose 665500/7 + u*a**3 + 36300/7*a + 660/7*a**2 = 0. Calculate a.
-55
Let b(m) be the third derivative of -m**8/1008 + 11*m**7/630 - m**6/10 + 4*m**5/45 + 8*m**4/9 - 4374*m**2. Determine c, given that b(c) = 0.
-1, 0, 4
Let h(q) be the first derivative of -60 + 12*q - 4*q**2 - 17/3*q**3 - 5/4*q**4. Factor h(x).
-(x + 2)**2*(5*x - 3)
Find s, given that 17*s - 1/2*s**2 - 289/2 = 0.
17
Suppose 153600/7*o + 2/7*o**3 + 960/7*o**2 + 8192000/7 = 0. What is o?
-160
Let r(n) = 56*n**2 - 2852*n + 31688. Let p(m) = 54*m**2 - 2853*m + 31689. Let f(k) = -4*p(k) + 5*r(k). Factor f(q).
4*(4*q - 89)**2
Let i(f) be the third derivative of 5*f**8/1512 + 13*f**7/945 - f**6/90 - 2*f**5/27 + 2*f**4/27 - 662*f**2 - 3*f. Let i(y) = 0. Calculate y.
-2, 0, 2/5, 1
Suppose 4*x - 7*x + 18 = 4*t, x = 4*t - 10. Let 451*n**x - 28492*n + 28328*n + 8 - 31*n**2 = 0. Calculate n.
2/35, 1/3
Suppose 3*y - 687 = -714. Let m be (2*y/36)/(1/(-4)). Factor 0 - 1/4*o**4 + 0*o - 1/4*o**3 + 1/2*o**m.
-o**2*(o - 1)*(o + 2)/4
Let l(s) be the third derivative of -s**6/600 - 9*s**5/20 - 1449*s**4/40 + 4761*s**3/10 + 503*s**2 + 4. Determine v, given that l(v) = 0.
-69, 3
Let a(m) be the third derivative of m**6/40 - 193*m**5/20 + 1202*m**2. Determine j so that a(j) = 0.
0, 193
Let c(j) be the third derivative of 5*j**8/168 + 164*j**7/105 + 139*j**6/20 - 11*j**5/3 - 149*j**4/3 + 40*j**3 + 24*j**2 + j. Find z, given that c(z) = 0.
-30, -2, 1/5, 1
Let x be -4*2 + (-1881)/2200*-5*(-16)/(-6). Suppose -2*r**2 - x*r + 6/5 = 0. Calculate r.
-2, 3/10
Suppose -3/5*y**3 + 381/5*y - 192/5 - 186/5*y**2 = 0. Calculate y.
-64, 1
Let t be 29/(754/(-52))*12/(-8). Factor 18/11*n**2 + 16/11*n**t + 0 - 2/11*n**4 + 0*n.
-2*n**2*(n - 9)*(n + 1)/11
Let s be (-3)/2 - ((5850/(-40))/45 + 1). Determine x, given that -s*x**2 - 3/2*x + 0 = 0.
-2, 0
Suppose -29 = -d - 4*n, 3*d - 3*n = 4*d - 24. Let t be d/12*(-1 + 78/54). Factor -2/3*z + 0 - t*z**2.
-z*(z + 2)/3
Suppose 3777*s + 1230 - 2207 = 6422 + 155. Let g = -5 + 11/2. Suppose 1/4*k**s - g*k + 0 = 0. Calculate k.
0, 2
Let j(p) be the third derivative of -9*p**2 + 0*p**3 - 53/90*p**5 - 2/315*p**7 - 89/360*p**6 + 0 - 7/24*p**4 - p. Solve j(o) = 0.
-21, -1, -1/4, 0
Let s(q) be the first derivative of q**4/2 - 934*q**3/3 - 1408*q**2 - 1880*q - 13575. Suppose s(i) = 0. What is i?
-2, -1, 470
Let l(j) be the second derivative of -j**6/1200 - j**5/60 - j**4/15 + 10*j**2 - 73*j. Let s(x) be the first derivative of l(x). Factor s(d).
-d*(d + 2)*(d + 8)/10
Let -3/8*q**5 + 9/4*q**3 + 45/8*q**4 - 123/4*q**2 - 351/8*q - 135/8 = 0. What is q?
-1, 3, 15
Let x(d) = 532*d - 142574. Let m be x(268). Factor 1/2*g**4 + 4*g - 1/4*g**3 + 3 - 17/4*g**m.
(g - 2)**2*(g + 3)*(2*g + 1)/4
Let v(o) be the second derivative of -o**7/42 - 7*o**6/30 - o**5/4 + 7*o**4/12 + o**3 + 5334*o. Factor v(r).
-r*(r - 1)*(r + 1)**2*(r + 6)
Suppose 0 = -4*v + 2*u + 2, v - 4*u - 23 = u. Let j(y) = 2*y**2 + 3*y + 3. Let i be j(v). Let -2*h**2 + i*h**2 - 6*h**2 - 5*h - h = 0. What is h?
-2, 0
Let t = 267 - 182. Suppose t = -4*y + 5*y. Determine a, given that -y*a**4 + 6*a**2 + 4*a**2 + 4*a + 79*a**4 - 8*a**3 = 0.
-2, -1/3, 0, 1
Let m(o) = 6*o**3 + 35*o**2 + 115*o + 8. Let n(f) = -3*f**3 - 18*f**2 - 57*f - 6. Let q = 207 - 194. Let h(b) = q*n(b) + 6*m(b). Suppose h(k) = 0. Calculate k.
-5, -2, -1
Let n be 11/22*7*(8 - (-400)/(-56)). Factor -1/2*h**2 + 1/6*h**4 - 11/6*h + 1/2*h**n - 1.
(h - 2)*(h + 1)**2*(h + 3)/6
Let u(o) be the second derivative of -o**4/6 + 298*o**3 - 199809*o**2 + 2491*o - 2. Factor u(f).
-2*(f - 447)**2
Let c(r) be the third derivative of -5*r**8/672 - r**7/42 + 7*r**6/24 - r**5/3 - 65*r**4/48 + 25*r**3/6 - 293*r**2 - 2*r. Find m such that c(m) = 0.
-5, -1, 1, 2
Let u(p) be the first derivative of 32*p**3/3 + 584*p**2 + 10658*p + 412. Determine s so that u(s) = 0.
-73/4
Suppose 11*t + 5 = 27. Factor 4*f + 11*f**2 + 4*f**t - 16*f**2 - 4.
-(f - 2)**2
Let k = -1443328/11 + 131488. Factor -722/11*s**4 - 32/11 - 3504/11*s**2 + 640/11*s + k*s**3.
-2*(s - 2)**2*(19*s - 2)**2/11
Determine m so that 94542*m**2 - 8 + 405*m + 210 + m**3 - 94338*m**2 = 0.
-202, -1
Let k(f) be the first derivative of -3*f**5/5 - 21*f**4 - 51*f**3 + 858*f**2 - 2100*f - 2777. Solve k(q) = 0.
-25, -7, 2
Let j = -25376 - -152257/6. Let m(b) be the third derivative of 0*b - b**2 - 3/5*b**3 + j*b**4 - 1/150*b**5 + 0. Solve m(u) = 0.
1, 9
Let x(z) be the first derivative of -3/8*z**4 - 99/4*z**2 + 24*z + 9*z**3 - 137. Find w, given that x(w) = 0.
1, 16
Let b be -6 + (-36 + -1)/(-1). What is q in -q**3 - 4*q**2 + 13*q**2 - b*q**2 - 121*q = 0?
-11, 0
Let h(y) = 6*y - y**2 + 10*y**3 + 3*y**2 + 3*y**2 + 3*y**2 + 8. Let b(t) = -28*t**3 - 24*t**2 - 19*t - 23. Let m(a) = 4*b(a) + 11*h(a). Factor m(v).
-2*(v + 1)**2*(v + 2)
Factor -276*n**2 - 277/4 - n**3 + 1107/4*n.
-(n + 277)*(2*n - 1)**2/4
Factor -37*p - 220 - 7*p**3 + 145*p**2 + 155*p - 846*p.
-(p - 11)*(p - 10)*(7*p + 2)
Let k be 11804/8853*-486*1/(-17). Factor 2/17*u**4 - 60/17*u**3 - 2916/17*u + k*u**2 + 4374/17.
2*(u - 9)**3*(u - 3)/17
Let f(h) be the first derivative of -h**7/420 + h**6/10 - 11*h**5/20 - 121*h**4/3 + 341*h**3/3 - 52. Let c(n) be the third derivative of f(n). Factor c(b).
-2*(b - 11)**2*(b + 4)
Let c be (23/((-7245)/18))/(7/(-140)). Factor -c - 26/7*t**2 - 2/7*t**4 + 12/7*t**3 + 24/7*t.
-2*(t - 2)**2*(t - 1)**2/7
Let s = -328