(3*t - 2)**2/5
Let s be (10/6)/(5/(-135)*9). Let n(b) = -2*b**3 - 32*b**2 + 5. Let i(t) = 3*t**3 + 47*t**2 - 7. Let j(o) = s*i(o) - 7*n(o). Solve j(p) = 0.
-11, 0
Suppose 4*s - 4 - 12 = 0, -3*s = -2*h - 24. Let n be 14/36 + h/(-54). Factor 3/4*a - 1/4*a**2 - n.
-(a - 2)*(a - 1)/4
Let a(j) be the second derivative of -9/10*j**5 - 33/10*j**3 + 2 + 9/50*j**6 - 28*j + 27/10*j**2 - 1/70*j**7 + 23/10*j**4. Let a(b) = 0. What is b?
1, 3
Let j be (-330)/40 + 237/27 + (-8)/(-36). Solve 15 - 27*h - j*h**4 + 51/4*h**2 + 0*h**3 = 0 for h.
-5, 1, 2
Solve 10 + 4*r**3 - 2/5*r**4 - 48/5*r**2 - 4*r = 0.
-1, 1, 5
Determine j so that -1342/9 - 2/9*j**2 - 448/3*j = 0.
-671, -1
Let d = 55 + -53. Factor -d*n**2 - 179 - n**2 + 203 - 6*n.
-3*(n - 2)*(n + 4)
Let s = -42 + 127/3. Let q = -35737 + 107212/3. Factor -q*m**3 + 2/3 - m**2 + s*m**4 + 1/3*m.
(m - 2)*(m - 1)*(m + 1)**2/3
Let p(k) be the second derivative of k**8/5880 - k**7/1470 + k**6/1260 + 5*k**3/3 + 5*k**2/2 + 34*k. Let i(o) be the second derivative of p(o). Factor i(m).
2*m**2*(m - 1)**2/7
What is f in -9/4*f**2 + 13/2*f + 1/4*f**3 - 6 = 0?
2, 3, 4
Let i(b) be the first derivative of 0*b + 77 - 20*b**2 - b**5 - 35/4*b**4 - 70/3*b**3. Find q, given that i(q) = 0.
-4, -2, -1, 0
Let g = 2020042/7 - 288550. Factor -18/7*x**2 - g*x - 512/7.
-2*(3*x + 16)**2/7
Let b(h) = 81*h**3 + 75*h**2 - 12*h - 18. Let o(a) = 1 + 14 - 14 - a**3. Let z be 2 + -2 - 2/(-2). Let w(g) = z*b(g) + 6*o(g). Factor w(c).
3*(c + 1)*(5*c - 2)*(5*c + 2)
Let n = -2480/7 - -74407/210. Let f(t) be the third derivative of -2/3*t**3 + 1/4*t**4 - n*t**5 + 0 + 0*t + 17*t**2. Factor f(z).
-2*(z - 2)*(z - 1)
Let j(f) be the first derivative of 0*f - 9/10*f**4 - 1/45*f**6 - 4/5*f**2 + 6/25*f**5 + 62/45*f**3 - 83. Solve j(b) = 0.
0, 1, 3, 4
Let t(f) = -17*f - 3. Let u be t(-2). Factor b**3 + 7*b + 28 - u*b - b**2 + 3*b**2 + b**2.
(b - 2)**2*(b + 7)
Let v(l) be the second derivative of 9*l**4/4 - 37*l**3/2 + 6*l**2 - 2*l - 150. What is b in v(b) = 0?
1/9, 4
Let i(a) be the third derivative of 1/10*a**5 + 0*a**4 - 3*a + 0 - 3*a**2 - 4/3*a**3 + 1/60*a**6. Suppose i(n) = 0. What is n?
-2, 1
Determine b so that 35*b**2 + 1098*b - 16 - 77 - 47 - 123*b = 0.
-28, 1/7
Let m(s) be the first derivative of s**5/170 - 4*s**4/51 + 7*s**3/17 - 18*s**2/17 + s + 31. Let y(z) be the first derivative of m(z). Factor y(l).
2*(l - 3)**2*(l - 2)/17
Let h(v) be the third derivative of 1/14*v**7 + 1/5*v**6 + 0 + 0*v**3 + 0*v - 24*v**2 + 1/20*v**5 - 1/4*v**4. Factor h(z).
3*z*(z + 1)**2*(5*z - 2)
Let u = 79 + -651/8. Let m = u + 73/24. Solve 2/3*o**2 - 4/3 - m*o = 0 for o.
-1, 2
Factor -15*w**3 + 148*w - 235*w + 190*w - w**4 - 60 - 27*w**2.
-(w - 1)**2*(w + 5)*(w + 12)
Factor 65*u**2 - 925*u + 16 + 874*u + 5*u**5 + 3*u**5 - 22*u**4 + 34*u**3 - 62*u**4 - 6.
(u - 10)*(u + 1)*(2*u - 1)**3
Let z = 11 + -9. Suppose 0*d + 82 = z*d. Factor 20*j**3 + 41*j - 5*j**4 - 20*j**2 - d*j.
-5*j**2*(j - 2)**2
Let x(a) be the first derivative of a**3/3 + 695*a**2/3 + 483025*a/9 - 665. What is p in x(p) = 0?
-695/3
Let d = -755479/5 - -151096. Factor 54/5*c - d*c**2 - 729/5.
-(c - 27)**2/5
Let w(u) be the first derivative of u + 3/10*u**5 - 5/18*u**6 - 35 + 23/24*u**4 - 5/6*u**3 - 13/12*u**2. Determine l, given that w(l) = 0.
-1, 2/5, 1, 3/2
Suppose -648 = -32*l + 24*l. Factor 140*n + 5*n**3 - 84*n + 4*n**2 + 15 + n**2 - l*n.
5*(n - 1)**2*(n + 3)
Factor -516/7 - 92/7*w - 1/7*w**2.
-(w + 6)*(w + 86)/7
Let q(y) be the third derivative of 3/10*y**5 - 4*y**3 + 0*y + 1/40*y**6 - 1/70*y**7 - 2*y**2 - 271 - 1/2*y**4. Factor q(r).
-3*(r - 2)**2*(r + 1)*(r + 2)
Let i = 214 - 212. Find c such that -65 + c**2 + 53*c - 2*c**2 + 24*c - 7*c - 4*c**i = 0.
1, 13
Let o(h) = 15*h**2 - 165*h + 14. Let n be (-5 + -9)*(-2)/(-4). Let f(c) = 10*c**2 - 110*c + 10. Let v(s) = n*f(s) + 5*o(s). Factor v(d).
5*d*(d - 11)
Let h(p) = p**3 + 129*p**2 + 643*p + 2861. Let y be h(-124). Factor -7/2*g**3 + 1/2*g**5 + y*g + 0 - 15/2*g**2 + 3/2*g**4.
g*(g - 2)*(g - 1)*(g + 3)**2/2
Let m be 10/28*(-3 - -3 - 2)*(-1680)/1050. Factor 0 + 0*x**3 + 2/7*x**5 + 6/7*x**4 + 0*x - m*x**2.
2*x**2*(x - 1)*(x + 2)**2/7
Let j(m) be the first derivative of -m**3 - 27*m**2/2 - 54*m + 573. Find a, given that j(a) = 0.
-6, -3
Let w(a) be the third derivative of 2*a**7/105 + 133*a**6/30 + 1539*a**5/5 + 12935*a**4/6 + 16900*a**3/3 - 1123*a**2. What is v in w(v) = 0?
-65, -2, -1
Let u(l) be the third derivative of -l**8/1512 - 17*l**7/945 - 5*l**6/36 - 11*l**5/30 + 272*l**2. Find p such that u(p) = 0.
-11, -3, 0
Let b = -543 - -545. Suppose 0*s**2 - 26*s - 4*s**b + 32*s - 174*s = 0. What is s?
-42, 0
Factor 46/3*f + 10/3*f**2 - 4 - 8/3*f**3.
-2*(f - 3)*(f + 2)*(4*f - 1)/3
Let u(y) = -y**3 - 4*y**2 + 227*y + 1292. Let o be u(-6). Let x(b) be the second derivative of 1/9*b**4 - 1/9*b**3 + 0 - 8*b + 0*b**o. Factor x(h).
2*h*(2*h - 1)/3
Let j = 67610 - 1149364/17. What is y in 2/17*y**3 + j*y**2 - 2/17*y - 4/17 - 2/17*y**4 = 0?
-1, 1, 2
Let v be (-1)/5*0*21/(-546). Let b(i) be the third derivative of 1/12*i**3 + 15*i**2 + 0*i - 5/96*i**6 + 19/96*i**4 + 1/6*i**5 + v. Let b(r) = 0. Calculate r.
-1/5, 2
Let w(d) = 8*d**4 + 42*d**3 - 22*d**2 - 232*d. Let m(p) = p**4 + 6*p**3 - 3*p**2 - 32*p. Let u(i) = -22*m(i) + 3*w(i). Factor u(r).
2*r*(r - 2)**2*(r + 1)
Suppose 3*q + 441 = 66*q + 84*q. Factor 24/7 + 26/21*t**2 - 32/7*t - 2/21*t**q.
-2*(t - 6)**2*(t - 1)/21
Let z = 53/1461 + 3181793/7305. Factor -132/5*m + 2/5*m**2 + z.
2*(m - 33)**2/5
Let x(n) = -8*n**2 + 36*n - 16. Let b(d) = 4*d**2 - 18*d + 8. Suppose 0 = -5*s - k - 4 + 9, s - 4*k - 22 = 0. Let g(t) = s*x(t) + 5*b(t). Factor g(m).
2*(m - 4)*(2*m - 1)
Let s(u) be the first derivative of -9*u**3 - 10 - 1/900*u**6 + 0*u - 1/150*u**5 - 1/60*u**4 + 0*u**2. Let t(w) be the third derivative of s(w). Solve t(q) = 0.
-1
Let g be 1055/(-96) + 16*(-308)/(-448). Let h(l) be the third derivative of -40*l**2 + 11/96*l**4 + 1/60*l**5 + 1/12*l**3 + 0*l - g*l**6 + 0. Solve h(s) = 0.
-1, -1/5, 2
Factor -1/8*t**4 + 0 + 19/4*t**3 - 9*t**2 + 0*t.
-t**2*(t - 36)*(t - 2)/8
Suppose -5*p - d + 2 = 0, -8 = 303*d - 302*d. Let q(c) be the first derivative of -c**3 - 7/4*c**p + 0*c - 41 + 1/8*c**4. Factor q(a).
a*(a - 7)*(a + 1)/2
Let c(i) = -1221132*i**2 + 114823*i - 1884. Let y(r) = -203522*r**2 + 19137*r - 306. Let m(o) = -6*c(o) + 34*y(o). Determine u so that m(u) = 0.
15/319
Suppose 2*p = -0*x - 2*x + 18, -40 = -4*x - 5*p. Suppose x*a**3 - 7 - 8 + 2878*a + 15*a**2 - 2883*a = 0. Calculate a.
-3, -1, 1
Let 0*v + 9/2*v**2 + 3/4*v**5 + 3/4*v**3 - 3*v**4 + 0 = 0. Calculate v.
-1, 0, 2, 3
Suppose 688 + 74 = 381*u. Factor -1/2*b**u + 4 - 7/2*b.
-(b - 1)*(b + 8)/2
Let z = 96 - 102. Let y be 9/(-6)*-16*(-2)/z. Factor y*f - 4*f**4 + f**2 - f**2 + 8*f**2 + 4*f**2.
-4*f*(f - 2)*(f + 1)**2
Let l(d) be the second derivative of -9*d**2 + 13*d + 0 - 1/24*d**6 - 5/2*d**3 + 5/24*d**4 + 1/4*d**5. Let z(n) be the first derivative of l(n). Solve z(p) = 0.
-1, 1, 3
Let u be 358/(-3401) + 232/38. Let c(d) = -3*d**3 + 16*d**2 + 7*d + 33. Let r be c(u). Find y, given that -5/3*y**r - 10/3 + 10/3*y**2 + 5/3*y = 0.
-1, 1, 2
Suppose -2*p - 3*p + 65 = -3*l, 2*p - 3*l = 17. Let d be p/136 + (-1 - (-823)/85). Factor -48/5*c**4 + 2/5*c + 0 + d*c**3 + 18/5*c**5 - 16/5*c**2.
2*c*(c - 1)**2*(3*c - 1)**2/5
Let l = 8 + -6. Suppose -2 = l*y - 22. Factor -y*j**3 + 25*j**2 + 8*j**3 + 22*j**3 - 15*j**4 - 10*j.
-5*j*(j - 2)*(j + 1)*(3*j - 1)
Let d(v) be the third derivative of -v**6/30 - 43*v**5/15 - 79*v**4/6 + 82*v**3 + 340*v**2 + 3*v. Factor d(q).
-4*(q - 1)*(q + 3)*(q + 41)
Suppose 44*u - 61*u = 0. Suppose -3*d + 5*t + 15 = u, -d + 0*d - 4*t - 12 = 0. Let -10/3*v**3 + d + 0*v - 8/3*v**2 - 2/3*v**4 = 0. What is v?
-4, -1, 0
What is h in 76*h**3 - 12/5*h**5 + 52*h**2 - 52*h**4 + 0 - 368/5*h = 0?
-23, -1, 0, 1, 4/3
Let a(r) = 2*r**2 + 54*r - 25*r - 26*r. Let f(p) = 4*p**2 - 7*p - 30. Let b(g) = 3*a(g) - f(g). Solve b(w) = 0.
-5, -3
Let o = -346976 + 346978. Factor 1/7*z**o + 122/7*z + 3721/7.
(z + 61)**2/7
Let k(a) be the first derivative of -a**5/20 - a**4/2 - 2*a**3 - 7*a**2/2 - 84. Let w(u) be the second derivative of k(u). Factor w(n).
-3*(n + 2)**2
Let y(f) = -f**2 - 2*f - 1. Let k(v) = -13*v + 17. Let x(g) = -g**2 - 26*g + 83. Let a be x(-29). Let z(r) = a