(-15) + (-4134)/(-130). Suppose 5*j = -5*t, c*j + 20 = 37*j - t. Factor -1/9 + 2/9*w**3 - 1/9*w**j + 2/9*w**2 - 1/9*w - 1/9*w**5.
-(w - 1)**2*(w + 1)**3/9
Let c(d) be the first derivative of 2*d**5/25 + 3*d**4/5 - 22*d**3/15 - 12*d**2 + 40*d + 1212. Factor c(i).
2*(i - 2)**2*(i + 5)**2/5
Let v = 5570 + -5559. Let t(j) be the first derivative of 5/3*j**3 - 15/2*j**2 + v + 10*j. Solve t(s) = 0 for s.
1, 2
Let 12*q**3 + 524*q**2 - 527/3*q + 44/3 = 0. What is q?
-44, 1/6
Let c(l) be the third derivative of -l**6/360 + 8*l**5/45 - 35*l**4/18 - 208*l**3/9 - 677*l**2. Factor c(b).
-(b - 26)*(b - 8)*(b + 2)/3
Let g(j) = 4*j**5 + 60*j**4 + 76*j**3 - 108*j**2 - 92*j - 12. Let c(z) = -2*z**4 - 2*z**2 - z - 1. Let s(q) = 12*c(q) - g(q). Determine a so that s(a) = 0.
-20, -1, 0, 1
Factor -866/7 - 1/7*m**2 - 867/7*m.
-(m + 1)*(m + 866)/7
Let o(f) = -f**3 + 213*f**2 + 432*f + 212. Let a(p) = -p**3 + 213*p**2 + 431*p + 213. Let h(s) = 3*a(s) - 2*o(s). Solve h(g) = 0.
-1, 215
Let d(g) = g**2 + 2*g - 7. Let i(r) = r**2 + 2*r - 8. Let a = 12 + -3. Suppose -2*j - 1 = -a. Let f(z) = j*i(z) - 5*d(z). Factor f(u).
-(u - 1)*(u + 3)
Let i(n) = -n**2 - n + 1. Let m(o) = -o**3 - 261*o**2 + 6*o - 6. Let k(y) = -6*i(y) - m(y). Find q, given that k(q) = 0.
-267, 0
Factor 6861*f**2 - 31382214*f - 1/2*f**3 + 47847415612.
-(f - 4574)**3/2
Let m(t) be the second derivative of 5*t**4/12 + 825*t**3 + 1225125*t**2/2 - 614*t. Determine z so that m(z) = 0.
-495
Let -16*u**3 - 405*u - 72*u**2 - 48*u**3 - 162*u - 1470 + 69*u**3 - 8*u**3 = 0. What is u?
-10, -7
Let f(o) = -11*o**2 + 112*o - 407. Let b(k) = -47*k**2 + 450*k - 1633. Let y(h) = -6*b(h) + 26*f(h). Solve y(r) = 0 for r.
4, 49
Let w(s) be the second derivative of s**9/33264 + s**8/9240 + s**7/9240 - s**3/3 - 5*s**2/2 - s + 13. Let o(k) be the second derivative of w(k). Factor o(c).
c**3*(c + 1)**2/11
Let r(s) = -4*s**3 - 2*s**2 - s + 1. Let w be r(-1). Suppose -w*u - 2*f = -18 + 6, 0 = -f. Factor -3/2*t**3 + 0 - u*t**2 + 0*t.
-3*t**2*(t + 2)/2
Suppose -2*b + 6 = 0, -g - 8 = 4*b + 8. Let i = g + 42. Solve -i*l**3 - 4 + 10*l**3 + 12*l - 5 + 2*l**2 - l**4 = 0.
-3, 1
Let f(r) be the first derivative of 4*r**3/21 + 460*r**2/7 + 1824*r/7 - 2209. Factor f(s).
4*(s + 2)*(s + 228)/7
Determine p so that -128*p + 16384 + 1/4*p**2 = 0.
256
Let y be (4 - (3 - -5) - -3) + 2. Let j be y/(1 + -10) + (-1482)/(-216). Determine f, given that 3/4*f**2 + j + 9/2*f = 0.
-3
Let r(w) = -3*w**3 - 478*w**2 - 3278*w - 7200. Let i(d) = -d**3 - 96*d**2 - 656*d - 1440. Let p(s) = -11*i(s) + 2*r(s). Find y, given that p(y) = 0.
-8, -6
Let b(o) be the third derivative of -o**7/140 - 11*o**6/20 - 167*o**5/20 + 825*o**4/4 - 5625*o**3/4 + 155*o**2 - 15*o. Factor b(n).
-3*(n - 3)**2*(n + 25)**2/2
Let q(w) be the third derivative of -2*w**7/105 + 2*w**6/3 + 4*w**5/15 - 40*w**4/3 - 13656*w**2. Determine z so that q(z) = 0.
-2, 0, 2, 20
Let i be 144024/78013 + -1 + 2 + -1. Let 18/13*h**3 - 16/13*h - 2*h**2 - 2/13*h**5 + i + 2/13*h**4 = 0. What is h?
-3, -1, 1, 2
Let p(u) be the second derivative of -u**7/105 - 4*u**6/15 - 139*u**5/50 - 202*u**4/15 - 508*u**3/15 - 224*u**2/5 - 1000*u. Let p(y) = 0. Calculate y.
-8, -7, -2, -1
Let w(q) = 2*q**3 + 30*q**2 - 1640*q - 1646. Let v(b) = -14*b**3 - 211*b**2 + 11485*b + 11517. Let z(a) = 2*v(a) + 15*w(a). Factor z(j).
2*(j - 23)*(j + 1)*(j + 36)
Factor -58/3*w**2 + 96*w - 2/3*w**3 + 264.
-2*(w - 6)*(w + 2)*(w + 33)/3
Factor -113*m**2 + 4392648 + 6624*m + 40*m**2 - 696*m + 42*m**2 + 33*m**2.
2*(m + 1482)**2
Let v(w) be the first derivative of 1/2*w**3 + 15/4*w**2 + 9*w + 53. Factor v(j).
3*(j + 2)*(j + 3)/2
Suppose 3*y - 5*y = -40. Let -k**4 + 37*k**3 + 38*k**3 - 24*k**2 - 66*k**3 + y*k = 0. Calculate k.
0, 2, 5
Let i(x) = -2*x**2 - 94*x + 580. Let k(h) = -h**2 - 46*h + 291. Let u(p) = 3*i(p) - 5*k(p). Factor u(v).
-(v - 5)*(v + 57)
Let r(y) = 14*y**2 + 48*y + 78. Let d(n) = 2*n**2 + 7*n + 11. Suppose 3*t - 134 = z, 4*t - 228 = -t + 4*z. Let w(l) = t*d(l) - 6*r(l). Factor w(s).
4*(s + 1)*(s + 4)
Let n be (-5 - -11)/((-14)/(-21)). Let u(q) be the first derivative of n + 15/16*q**2 - 27/32*q**4 - 3/8*q - 3/8*q**3. Factor u(z).
-3*(z + 1)*(3*z - 1)**2/8
Let k = -24040/39 + 48197/78. Factor k*g**2 - 12 - 11*g + 1/2*g**3.
(g - 4)*(g + 1)*(g + 6)/2
Let f(c) = 8*c - 912. Let m(l) = -l**2 - 10*l + 905. Let k(x) = 3*f(x) + 4*m(x). Suppose k(u) = 0. Calculate u.
-17, 13
Let m = 551 + -190. Suppose -m = -4*b - 353. Factor -9/4*t**3 - 15/2*t**b - 9/4*t + 0.
-3*t*(t + 3)*(3*t + 1)/4
Let w be -11 + (-25190)/(-2200) + (-3)/(-12)*-1. Let p be 28/50*5/1. Let w*c**2 - p*c + 49/5 = 0. Calculate c.
7
Let a(n) be the third derivative of -n**8/1512 + 2*n**7/105 + 41*n**6/270 + 64*n**5/135 + 29*n**4/36 + 22*n**3/27 + 1070*n**2. Let a(t) = 0. What is t?
-1, 22
Let s be (-86)/258 + (-14)/(-6). Find w such that 5*w**4 - 24*w**4 + 7*w**4 + 3*w**3 + 12*w**s - 12*w + 9*w**4 = 0.
-2, 0, 1, 2
Let d(u) = -2*u**2 + u + 7. Let q be d(-3). Let x be q/(-5) - 4/(4 - 24). Factor -58*v + 42*v - 4*v**4 + 16*v**2 + 5*v**x - v**3.
-4*v*(v - 2)*(v - 1)*(v + 2)
Let w(j) be the second derivative of j**6/10 + 987*j**5/5 + 288423*j**4/2 + 42013178*j**3 - 253813557*j**2/2 + 11*j + 107. Factor w(c).
3*(c - 1)*(c + 439)**3
Let u(f) be the second derivative of 13*f**5/60 + 5*f**4/2 + 71*f**3/18 - f**2 - 3995*f. Solve u(n) = 0 for n.
-6, -1, 1/13
Suppose 5*f - 30 = -b, -2*f + 2*b = -0*b. Suppose -m - 1 = -0*m, f*m + 11 = 2*c. Find g such that 36*g**3 - 8*g**3 - 6*g - 20*g**c - 4*g**5 + 2*g = 0.
-1, 0, 1
Let d(c) be the first derivative of 2/3*c**3 + 5/2*c**2 - 1/4*c**4 - 6*c - 70. Determine u, given that d(u) = 0.
-2, 1, 3
Let r(a) be the second derivative of a**4/6 - 109*a**3/3 - 110*a**2 + 7839*a. Find j such that r(j) = 0.
-1, 110
Let h = 12011 - 12008. Let f(s) be the third derivative of -2*s**2 - 5/12*s**4 - 4/3*s**h - 1/30*s**5 + 0 + 0*s. Factor f(r).
-2*(r + 1)*(r + 4)
Let p(s) be the third derivative of -1/60*s**5 + 232*s**2 + 0 + 0*s - 361/6*s**3 - 19/12*s**4. Find z, given that p(z) = 0.
-19
Let i = 43423 + -43421. Factor 0 + 0*z + 3/7*z**3 - 3/7*z**i.
3*z**2*(z - 1)/7
Suppose 5*q - 5 = 4*q - 5*i, i = 2*q - 32. Let y be (-48)/(-392)*35/q. Suppose 6/7*s - 4/7*s**2 + 6/7*s**4 - 2/7 - 4/7*s**3 - y*s**5 = 0. Calculate s.
-1, 1
Find b, given that 104/5*b**2 + 110/3 + 164/3*b + 44/15*b**3 + 2/15*b**4 = 0.
-11, -5, -1
Let g(s) = 4*s - 37. Let v be g(22). Let u = v + -49. Find n, given that 2*n**2 + 2*n**5 + n**4 + 0*n**u + 5*n**3 + 3*n**4 - n**5 = 0.
-2, -1, 0
What is u in -4*u**3 + 1/4 - 7/2*u - 31/4*u**2 = 0?
-1, 1/16
Let b(k) be the first derivative of 254 - 1/4*k**4 + 0*k**2 + 0*k - 2/3*k**3. Factor b(a).
-a**2*(a + 2)
Let m(k) = k**3 + 3*k**2 + 5*k + 1. Let d(h) = -9*h**3 + 24*h**2 + 498*h - 6. Let s(u) = d(u) + 6*m(u). Factor s(f).
-3*f*(f - 22)*(f + 8)
Let f(p) be the first derivative of 25 - 2*p - 13/12*p**3 - 27/4*p**2. Solve f(u) = 0.
-4, -2/13
Let y(w) be the first derivative of -5*w**4/12 + 55*w**3/6 - 75*w**2 + 185*w - 17. Let k(x) be the first derivative of y(x). Factor k(a).
-5*(a - 6)*(a - 5)
Factor -181/2 + 92/3*t - 1/6*t**2.
-(t - 181)*(t - 3)/6
Let j be (391/85 - 7)*(-3)/27. Let h(r) be the first derivative of -j*r + 38 + 2/3*r**3 - 13/15*r**2. Suppose h(g) = 0. What is g?
-2/15, 1
Let m(w) be the first derivative of -1100*w**2 - 2000*w - 205/3*w**3 - 5/4*w**4 - 124. Let m(k) = 0. What is k?
-20, -1
Suppose -17*j - 2001 - 2589 = 0. Let h be (-2895)/j - (-1)/6. Determine o so that 32/9 + 112/9*o + h*o**2 = 0.
-4/7
Factor -23/4*i + 0 - i**2.
-i*(4*i + 23)/4
Let f = 3224042/15 - 214932. Let 4 - f*q + 2/15*q**2 = 0. What is q?
1, 30
Factor 1596/5*h + 2888/5 - 1366/5*h**2 - 15*h**3 - 1/5*h**4.
-(h - 2)*(h + 1)*(h + 38)**2/5
Let f(b) be the third derivative of -13/30*b**4 + 0 - 8/5*b**3 + 11/75*b**5 + 13/150*b**6 - 212*b**2 + 0*b + 2/525*b**7. Suppose f(a) = 0. Calculate a.
-12, -1, 1
Factor 17298/5*l**3 + 32/5*l + 0 + 1488/5*l**2.
2*l*(93*l + 4)**2/5
Let t(r) be the third derivative of -r**5/138 + 73*r**4/92 + 44*r**3/69 - 1416*r**2. Factor t(l).
-2*(l - 44)*(5*l + 1)/23
Suppose -q + 298 = -2*p, q = 6*q + p - 1446. Factor -147*o**3 - 16 - 147*o**3 + q*o**3 + 12*o**2.
-4*(o - 2)**2*(o + 1)
Let p(i) = 15*i**3 + 57*i**2 - 3*i - 81. Let c(j) = -28*j**3 - 