*b**2*(b - 2)*(b - 1)/3
Let v = 2191/11 + -199. Let d = 43243/11 + -3931. Solve v*z - d*z**2 + 0 = 0 for z.
0, 1
Suppose 0 - 335/4*s**3 - 315*s + 320*s**2 + 5/4*s**4 = 0. What is s?
0, 2, 63
Suppose -16*x - 5*x = -13503. What is i in 707 + x + 4*i**3 - 204*i**2 + 2496*i + 345 + 1009 = 0?
-1, 26
Let s(l) be the third derivative of 0 + 0*l**3 + 29*l**2 - 5/1008*l**8 + 0*l**4 + 0*l + 1/36*l**5 - 1/24*l**6 + 1/42*l**7. Factor s(o).
-5*o**2*(o - 1)**3/3
Let o be 169 + (16/12)/(2/(-6)). Factor o*s**2 + 4*s**4 - 205*s**2 + 47*s**3 - 64*s - 19*s**3.
4*s*(s - 2)*(s + 1)*(s + 8)
Let f(v) = 9*v**2 + 135*v + 312. Let s(k) = -k**2 - 12*k - 31. Let m(i) = 2*f(i) + 21*s(i). Find c, given that m(c) = 0.
3
Let c(d) be the third derivative of 0*d**4 - d + 0 + 3/10*d**5 - 51*d**2 + 0*d**3 - 1/40*d**6. What is j in c(j) = 0?
0, 6
Let a(i) be the first derivative of -3*i**2 + 113*i + 201. Let p be a(18). Find r, given that 5/6 + p*r**2 + 10/3*r + 10/3*r**3 + 5/6*r**4 = 0.
-1
Let a be 9/12 + (-25572)/20592. Let v = -5/39 - a. Determine d, given that v*d**3 - 2/11 - 10/11*d**4 - 6/11*d**5 + 2/11*d + 12/11*d**2 = 0.
-1, 1/3, 1
Let z = 2472 + -2470. Let f(s) be the second derivative of 1/12*s**3 - 9*s + 0 + 1/12*s**z + 1/36*s**4. Find g, given that f(g) = 0.
-1, -1/2
Factor -53/5*p - 21/5 + 7/5*p**4 - 1/5*p**5 + 6/5*p**3 - 34/5*p**2.
-(p - 7)*(p - 3)*(p + 1)**3/5
Let p = 25546 - 25546. Let s(g) be the second derivative of 1/50*g**5 + 3/5*g**3 - 4/5*g**2 - 17*g - 1/5*g**4 + p. Factor s(f).
2*(f - 4)*(f - 1)**2/5
Suppose 35*j - j - 795 = -125*j. Let a(k) be the second derivative of 0*k**2 - 3/20*k**j + 0*k**3 - 18*k - 1/4*k**4 + 0. Find q such that a(q) = 0.
-1, 0
Determine l, given that -542/3*l + 1/3*l**2 + 73441/3 = 0.
271
Let c = 27156 - 27149. Let f(i) be the third derivative of -1/165*i**6 - 36*i**2 - 3/110*i**5 - 1/66*i**4 + 1/77*i**c + 0*i + 0*i**3 + 0. Solve f(a) = 0.
-2/5, -1/3, 0, 1
Let u(s) = 2*s**5 - s**4 + 5*s**3 + 3*s**2 + 5. Let x = 60 - 70. Let i(t) = t**5 + 3*t**3 + t**2 + 3. Let f(n) = x*i(n) + 6*u(n). Factor f(m).
2*m**2*(m - 2)**2*(m + 1)
Suppose 16*c - 66 = 30. Let k be (72/50)/c*10/3. Suppose -8/5*q - k*q**2 + 32/5 = 0. What is q?
-4, 2
Let z(c) = -37*c - 38. Let m be z(-1). Let j(p) = 4*p**3 + p**2 + 1. Let f(v) = 27*v**3 + 66*v**2 - 3*v - 54. Let l(y) = m*f(y) + 6*j(y). Factor l(w).
-3*(w - 1)*(w + 1)*(w + 20)
Let c(j) = j**3 + j**2 - 1. Let i be (-2)/1 + 47 - 4. Let h = 42 - i. Let s(x) = -26*x**3 - 74*x**2 - 24*x + 6. Let k(r) = h*s(r) + 6*c(r). Factor k(l).
-4*l*(l + 3)*(5*l + 2)
Let h be (2 + 7282/10)*(-4315)/(-10356) + 2. Solve 35/2*m - h - 1/4*m**2 = 0.
35
Let x(y) be the first derivative of 3*y**5/5 - 3*y**4 - 3*y**3 + 15*y**2 + 24*y + 1256. Factor x(d).
3*(d - 4)*(d - 2)*(d + 1)**2
Suppose -60*k - 41*k - 66 = -134*k. Factor 87/8*r**3 - 2187/4 - 891/8*r**k + 3645/8*r - 3/8*r**4.
-3*(r - 9)**3*(r - 2)/8
Let f(p) be the second derivative of 0*p**2 + 0*p**3 + 5/24*p**4 + 10 - 49/24*p**6 + 8*p + 47/16*p**5. Suppose f(r) = 0. What is r?
-2/49, 0, 1
Let d be (2 + -293)/((2/(-1))/(-2)). Let k = d + 445. Determine g so that k + g - 154 - g**2 = 0.
0, 1
What is u in 21397*u + 46*u**3 + 236*u**3 + 18*u**3 + 4000*u**2 - 3897*u - 25*u**3 + 5*u**4 = 0?
-35, -10, 0
Let p = 191/90 - 1/90. Let z = 7/3 - p. Let z*t**3 + 8/9*t - 16/9*t**2 + 2/3*t**4 + 0 = 0. What is t?
-2, 0, 2/3, 1
Let m(w) be the third derivative of -w**5/180 + 397*w**4/36 - 157609*w**3/18 - 687*w**2 + 1. Determine y, given that m(y) = 0.
397
Determine v, given that 0 + 106/3*v**3 + 6*v + 23/3*v**4 + 97/3*v**2 - 4/3*v**5 = 0.
-2, -1, -1/4, 0, 9
Let n(f) be the second derivative of -f**4/8 - 97*f**3/4 - 534*f**2 - 143*f - 9. Factor n(p).
-3*(p + 8)*(p + 89)/2
Suppose 0 = 4*j - 2*z + 16, -2*j + 2*z - 899 + 879 = 0. Factor 16/5*r**j - 20 - 2*r - 2/5*r**3.
-2*(r - 5)**2*(r + 2)/5
Let s(y) = -3*y**3 - 52*y**2 - 22*y - 85. Let o be s(-17). Let n(w) be the second derivative of o + 0*w**2 - 14*w - 1/12*w**4 + 1/2*w**3. Solve n(d) = 0 for d.
0, 3
Let u(q) = 6*q - 1223 - 44*q + 16*q**2 - 30*q - 17*q**2. Let k(s) = -2*s**2 - 135*s - 2445. Let h(n) = 2*k(n) - 5*u(n). Factor h(f).
(f + 35)**2
Let a(n) be the third derivative of -1/245*n**7 - 13/42*n**5 + 25/84*n**4 + 0 - 29/420*n**6 + 0*n - 13*n**2 + 0*n**3. Factor a(s).
-2*s*(s + 5)**2*(3*s - 1)/7
Suppose -2*b + 16 = 2*f, -3*b - 3*f + 24 = 2*f. Let z = 1033 - 1031. Solve 10/3*c**4 + b - 50/3*c**3 + 290/9*c**z - 80/3*c - 2/9*c**5 = 0.
1, 6
Suppose -20*d + p = -23*d + 121, -5*d - 5*p = -205. Factor 22 - 15*a**3 - d*a**2 - 94 - 17*a**3 + 108*a - 15*a**3 + 51*a**3.
4*(a - 6)*(a - 3)*(a - 1)
Let v = 30940 + -30940. Let b(a) be the third derivative of 0 + 1/112*a**8 + 1/5*a**5 + v*a + 0*a**4 + 0*a**3 + 1/14*a**7 + 46*a**2 + 1/5*a**6. Factor b(p).
3*p**2*(p + 1)*(p + 2)**2
Factor 177*s**4 - 54*s**4 - 58*s**4 - 60*s**4 - 420*s - 130*s**3 + 545*s**2.
5*s*(s - 21)*(s - 4)*(s - 1)
Let g(o) = 2*o**4 + 4*o**3 - o**2 - o + 1. Let v(c) = -7*c**4 - c**3 + 29*c**2 + 3*c - 3. Let s(h) = 15*g(h) + 5*v(h). Let s(a) = 0. What is a?
-2, 0, 13
Let q(m) be the first derivative of -11/18*m**4 + 4/9*m**6 + 14/45*m**5 - 121 - 1/9*m**2 + 0*m - 14/27*m**3. Determine f, given that q(f) = 0.
-1, -1/3, -1/4, 0, 1
Let y = 167456/419165 + 42/83833. Solve 44/5*w**3 + 0 + y*w**2 - 2/5*w**4 - 44/5*w = 0 for w.
-1, 0, 1, 22
Let k(b) be the third derivative of -b**6/180 + 227*b**5/90 - 337*b**4/18 + 448*b**3/9 - 4273*b**2 - 2*b + 1. Factor k(a).
-2*(a - 224)*(a - 2)*(a - 1)/3
Let a(t) be the first derivative of 3*t**5/20 + 9*t**4/16 + t**3/4 - 9*t**2/8 - 3*t/2 - 685. Factor a(x).
3*(x - 1)*(x + 1)**2*(x + 2)/4
Let y(x) be the first derivative of 5*x**6/6 + 70*x**5 - 1465*x**4/4 + 1130*x**3/3 + 730*x**2 - 1480*x + 2503. Determine h so that y(h) = 0.
-74, -1, 1, 2
Let i(c) be the first derivative of -c**7/105 + 2*c**6/15 - 13*c**5/30 + c**4/2 + 10*c**2 + c - 26. Let h(z) be the second derivative of i(z). Factor h(v).
-2*v*(v - 6)*(v - 1)**2
Suppose 0 = -22553*r + 22507*r + 138. Solve 0*x + 0 - 4/15*x**2 + 2/15*x**4 - 2/15*x**r = 0.
-1, 0, 2
Determine i, given that -1/2*i**4 - 51/2*i**2 + 27/2*i**3 + 25/2*i + 0 = 0.
0, 1, 25
Suppose -13 = -437*f + 424*f. Suppose 3*d = 3*l - 21, -l - 2*l + 4*d + 25 = 0. Suppose n + f + n**2 + 0*n**2 + l*n + 3 = 0. What is n?
-2
Let i(v) = -430*v**2 - 38545*v - 38215. Let h(k) = 13*k**2 + 1168*k + 1158. Let b(c) = -100*h(c) - 3*i(c). What is u in b(u) = 0?
-231/2, -1
Let x(d) be the first derivative of 1/2*d**4 + 28/3*d**3 - 15*d**2 - 107 + 0*d. Determine w, given that x(w) = 0.
-15, 0, 1
Suppose 312*r + 12 = 315*r. Suppose 5*d = -q - 2, d - r + 8 = q. Find n such that -2/5 + 14/5*n**2 + n**q + 7/5*n = 0.
-2, -1, 1/5
Let l(z) be the first derivative of -5*z**6/6 - 9*z**5 + 15*z**4/4 + 145*z**3/3 + 45*z**2 + 2228. Solve l(q) = 0.
-9, -1, 0, 2
Let w(c) be the second derivative of -c**4/24 - 385*c**3/6 + 386*c**2 - 2144*c. Find p, given that w(p) = 0.
-772, 2
Let p(b) = -13*b**4 - 4451*b**3 - 830291*b**2 - 825853*b. Let m(z) = 4*z**4 + 1484*z**3 + 276764*z**2 + 275284*z. Let g(i) = 14*m(i) + 4*p(i). Factor g(n).
4*n*(n + 1)*(n + 371)**2
Let s(g) be the second derivative of g**5/180 - 17*g**4/36 + 289*g**3/18 + 26*g**2 + g + 5. Let x(o) be the first derivative of s(o). Factor x(a).
(a - 17)**2/3
Let c = -61139 + 61147. Determine s so that c - 24/5*s + 2/5*s**2 = 0.
2, 10
Let x(b) = 15*b**3 + 65*b**2 + 145*b - 480. Let s(y) = 35*y**3 + 163*y**2 + 362*y - 1200. Let c(v) = 5*s(v) - 12*x(v). What is r in c(r) = 0?
-3, 2, 8
Let t(b) be the first derivative of -320*b - 5/4*b**4 - 20*b**3 - 120*b**2 + 7. Factor t(u).
-5*(u + 4)**3
Let m(n) be the first derivative of -n**6/30 + 12*n**5/25 - 21*n**4/20 + 2*n**3/3 + 3165. Factor m(g).
-g**2*(g - 10)*(g - 1)**2/5
Let s(v) be the third derivative of -v**5/75 - 8*v**4/15 - 22*v**3/3 + 1052*v**2. Factor s(z).
-4*(z + 5)*(z + 11)/5
Let c(r) be the third derivative of -r**5/40 - 29*r**4/16 - 42*r**3 - 179*r**2. Factor c(p).
-3*(p + 8)*(p + 21)/2
Let r be 0/(-5 - (0 - 3)). Let v(g) = 2*g**3 - g**2 - g + 3. Let x be v(r). Factor h**3 + 3*h + 3*h**3 - 5*h**x - 2*h**3.
-3*h*(h - 1)*(h + 1)
Let m(q) be the second derivative of -69*q**6/65 - 623*q**5/130 - 209*q**4/26 - 71*q**3/13 - 2*q**2/13 + 34*q + 108. Determine t, given that