2*(3*n - 2)
Let m be (-14950)/(-7150) - (-2)/(-22). Find c, given that -3/2 - 1/2*c**m - 5/2*c + 1/2*c**3 = 0.
-1, 3
Suppose 5*j - 236 - 206 = 2*f, 3*f + 78 = j. Find m such that j*m**2 + 100*m - 9*m**3 - 14*m**3 - 25*m**4 + m**3 - 30*m**3 - 120 + 7*m**3 = 0.
-2, 1, 6/5
Let m(n) be the first derivative of n**3/3 + 76*n**2 + 910. What is o in m(o) = 0?
-152, 0
Suppose 329204*w**4 - 40205 - 12072*w**2 - 116595 - 82880*w - 329206*w**4 - 296*w**3 = 0. What is w?
-70, -4
Suppose 8*y = 26*y - 11052. Suppose y - 606 = 4*v. Factor 4/7*h - 4/7*h**4 + 0 + 4/7*h**v - 4/7*h**3.
-4*h*(h - 1)*(h + 1)**2/7
Let s(k) be the third derivative of -64*k**3 + 1/40*k**6 + 12*k**4 + 0 - 9/10*k**5 + 0*k + 19*k**2. Suppose s(p) = 0. What is p?
2, 8
Determine k so that -2/5*k**4 + 348*k**3 - 151728*k - 376706/5*k**2 - 380192/5 = 0.
-1, 436
Let v(o) be the second derivative of 0 + 0*o**2 + 24*o - 1/30*o**6 - 7/12*o**4 - 1/4*o**5 - 1/2*o**3. Solve v(m) = 0 for m.
-3, -1, 0
Suppose -3*b = -10*b + 11*b + 3*b. Solve 15/7*y + 3/7*y**2 + b = 0.
-5, 0
Factor c**2 - 40 - 168*c - 71 - 3*c**2 - 55.
-2*(c + 1)*(c + 83)
Let x(q) be the second derivative of q**6/50 - 3*q**5/100 - q**4/2 - 4*q**3/5 + 479*q + 2. Determine w so that x(w) = 0.
-2, -1, 0, 4
Let o(j) be the first derivative of 2*j**3/9 - 275*j**2/3 - 184*j + 5011. Find m, given that o(m) = 0.
-1, 276
Determine r, given that 2/9*r**4 - 220/9*r**2 - 224*r + 16/9*r**3 - 198 = 0.
-9, -1, 11
Suppose -v = 4*a - 6*a, -5*a + 6 = -v. Factor -4596*k**v - 4604*k**4 - 40*k**3 + 9205*k**4.
5*k**3*(k - 8)
Let w(l) = 16*l**3 + 236*l**2 - 1476*l + 696. Let p(r) = -34*r**3 - 472*r**2 + 2941*r - 1391. Let q(n) = 4*p(n) + 9*w(n). What is y in q(y) = 0?
-35, 1/2, 5
Let j(r) be the first derivative of r**5/5 - 5*r**4/4 - r**3/3 + 5*r**2/2 - 49. Factor j(g).
g*(g - 5)*(g - 1)*(g + 1)
Suppose -2*d + 6 = l, 39*l = 4*d + 44*l + 6. Let a(u) be the third derivative of 5*u**2 + 1/30*u**d + 0*u + 0*u**3 + 2/3*u**4 + 0 + 4/15*u**5. Factor a(t).
4*t*(t + 2)**2
Let 20/13*p**2 - 2/13*p**5 - 2/13*p - 10/13 - 10/13*p**4 + 4/13*p**3 = 0. Calculate p.
-5, -1, 1
Factor -134314*q - 3786*q**2 - 14*q**3 - 264477*q - 806813*q - 147083688 + 11*q**3 + 492*q**2.
-3*(q + 366)**3
Solve -130*o**2 + 2866*o**4 - 1528*o - 16*o + 616 + 6*o**5 + 1538*o**3 + 448*o**2 - 3800*o**4 = 0.
-1, 2/3, 1, 154
Let t(b) be the second derivative of b**5/60 - 5*b**4/12 - 7*b**3 - 33*b + 38. Factor t(q).
q*(q - 21)*(q + 6)/3
Let u(c) be the second derivative of -c**7/147 - c**6/5 - 69*c**5/35 - 149*c**4/21 - 87*c**3/7 - 81*c**2/7 - 1490*c. Solve u(k) = 0.
-9, -1
Let y(b) be the third derivative of -b**6/60 - 17*b**5/15 + 41*b**4/12 + 70*b**3 - 5772*b**2. Factor y(u).
-2*(u - 3)*(u + 2)*(u + 35)
Let f = 675 - 687. Let r be -3 + (-33)/f - (-689)/68. Factor -r*b + 16/17 + 396/17*b**2 + 242/17*b**3.
2*(b + 2)*(11*b - 2)**2/17
Find n, given that -468*n + 301158 + 2/11*n**2 = 0.
1287
Let m be -6 + ((-1736)/(-98) - 10) + (-12)/(-42). Factor 0 - 30/7*p + 2/7*p**m.
2*p*(p - 15)/7
Let i = 647/670 + -58/67. Let o(w) be the first derivative of 1/4*w**4 - 1/6*w**3 + 0*w**2 + 0*w - i*w**5 + 21. Suppose o(h) = 0. Calculate h.
0, 1
Suppose 3*j - 76 = 2*k, 5*j = -3*k - 65 - 11. Let z be (2/(-11) - -2) + k/(-176). Factor v**4 + v + 0*v - 3*v**z + v**3 - 2*v + 2*v**2.
v*(v - 1)*(v + 1)**2
Let f(t) be the first derivative of -10*t**2 - 240*t + 44. Let s be f(-12). Factor 0*y - y**4 - 2/3*y**5 + 1/3*y**2 + 0 + s*y**3.
-y**2*(y + 1)**2*(2*y - 1)/3
Let r(s) be the first derivative of s**6/960 + s**5/80 + s**4/16 + s**3/6 - 17*s**2 - 68. Let k(t) be the second derivative of r(t). Factor k(d).
(d + 2)**3/8
Let h = 801 - 798. Factor -1593 - h*g**3 + 1593 - 42*g**2.
-3*g**2*(g + 14)
Suppose -3*q + 4 = s, 10 = s + 5*q + 6. Let y(a) be the third derivative of 0*a + 3*a**2 - 1/40*a**6 + 0*a**3 + 1/8*a**s + 0*a**5 + 0. Factor y(u).
-3*u*(u - 1)*(u + 1)
Let v = 1387464 - 1019785873/735. Let n = v - 4/147. Solve -g**3 + 0 + 6/5*g**2 + 0*g + n*g**4 = 0 for g.
0, 2, 3
Suppose 0*y = 3*y + 12, -5*l + 124 = 4*y. Factor 18*i**2 + 12*i**2 - l*i**2 + 50 - 20*i.
2*(i - 5)**2
Let p = 653921 - 653917. Factor -16/9 - p*f**2 + 25/9*f**4 + 95/9*f**3 - 68/9*f.
(f - 1)*(f + 4)*(5*f + 2)**2/9
Determine q, given that 2/7*q**2 - 3168/7 - 380/7*q = 0.
-8, 198
Let d(a) be the second derivative of 16*a**7/63 - 56*a**6/45 + 5*a**5/6 - a**4/6 + 2927*a. Solve d(x) = 0 for x.
0, 1/4, 3
Let j be (-8928)/(-891) - (6 + -1) - 5. Let k = j - -161/198. Factor -k*n**2 + 1/6*n**3 + 3/2 + 1/2*n.
(n - 3)**2*(n + 1)/6
Let t(q) be the first derivative of q**5 + 950*q**4 + 240665*q**3 - 1900*q**2 - 722000*q + 2818. Let t(a) = 0. Calculate a.
-380, -1, 1
Let q = 3027 + -3027. Let a(b) be the third derivative of 0*b**3 + 1/420*b**5 + q + 6*b**2 + 0*b + 1/168*b**4. Suppose a(w) = 0. What is w?
-1, 0
Let q(s) be the third derivative of -s**5/240 + 7*s**4/96 + 14*s**2 - 2*s. Factor q(z).
-z*(z - 7)/4
Let t(u) = u**2 + 239*u - 927. Let a(j) = 6*j**2 + 1464*j - 5561. Let l(v) = 6*a(v) - 38*t(v). Suppose l(i) = 0. Calculate i.
-155, 6
Let q(d) be the second derivative of -d**7/14 + 4*d**6/5 - 3*d**5/4 - 25*d**4/2 + 913*d. Find z such that q(z) = 0.
-2, 0, 5
Let l(s) be the third derivative of s**6/210 + 16*s**5/105 + 61*s**4/42 + 44*s**3/7 + 4592*s**2. Solve l(x) = 0 for x.
-11, -3, -2
Let t(d) = 7*d**3 - 15*d**2 + 69*d - 7. Let c(h) = -6*h**3 + 13*h**2 - 58*h + 6. Let r(v) = 6*c(v) + 5*t(v). Factor r(q).
-(q - 1)**3
Let l(u) be the second derivative of u**7/336 - u**6/48 - u**5/160 + 5*u**4/96 - 124*u + 3. Solve l(r) = 0 for r.
-1, 0, 1, 5
Let f(b) = b**3 + 17*b**2 - 217*b - 3677. Let p be f(-17). Factor 0 + 3/2*g**3 - p*g**2 + 18*g.
3*g*(g - 6)*(g - 2)/2
Determine u, given that 114*u**2 - 1035*u**3 - u**4 - 14*u - u**4 + 12*u**4 + 4*u**4 + 921*u**3 = 0.
0, 1/7, 1, 7
Let v be (4 + 200/(-44))/(338/(-1859)). Factor 3/2*d**2 + 0*d + d**v + 0 - 1/2*d**4.
-d**2*(d - 3)*(d + 1)/2
Let q(v) = -10*v - 11. Let r be q(7). Let b be ((-18)/r)/((-2)/(-18)). Solve b + 0*y**2 - 5*y**2 - y**3 - 3*y + 7 = 0.
-3, 1
Let k be ((-12)/(-4) + -4)*-3 - -9. Suppose -6*o - k*o**2 + 8 - 4*o**3 - 4*o + 14*o + 4*o**4 = 0. Calculate o.
-1, 1, 2
Let c(i) be the third derivative of -37/55*i**5 - 4*i**2 + 29/660*i**6 - 13 + 35/33*i**4 + 0*i - 1/1155*i**7 + 392/33*i**3. Suppose c(x) = 0. Calculate x.
-1, 2, 14
Find r such that -5344/9 - 2/9*r**4 - 1018/3*r**2 + 352/9*r**3 + 8048/9*r = 0.
1, 4, 167
Factor -648000/7 - 3/7*j**3 - 540/7*j**2 - 32400/7*j.
-3*(j + 60)**3/7
Let w be 37 + 1/(-3 - 32/(-12)). Suppose w*j**2 - 125*j + 288*j**3 - 164*j + 0*j**5 + j**5 - 34*j**4 = 0. Calculate j.
-1, 0, 1, 17
Let t(x) = 14*x**2 + 13*x + 48. Let m be t(-6). Let w be 3*1*(m/36 + -13). Solve -5/2*i**2 + w + 3/2*i - 3/2*i**3 + 2*i**4 = 0.
-1, -1/4, 1
Let p be 18/36 + (44/418 - 53/(-38)). Solve -24/13 - 2/13*c + 2/13*c**p = 0 for c.
-3, 4
Let y = 8293/10 - 830. Let p = y + 11/10. Factor 0 + 4/5*o**3 + 0*o - 2/5*o**4 - p*o**2.
-2*o**2*(o - 1)**2/5
Suppose 6*t = 2062 - 520. Factor 35 + 512*s**2 - t*s**2 - 256*s**2 + 34*s.
-(s - 35)*(s + 1)
Let o(v) = -v**3 - 14*v**2 - 34*v - 6. Let z be o(-11). Solve -4*k**z - 3208*k**3 - 3*k + 3214*k**3 + k**5 = 0.
-1, 0, 1
Let l(n) = n**2 - n + 1. Let j(y) = -3*y**2 + 28*y - 50. Let k(h) = -j(h) - 2*l(h). Solve k(f) = 0 for f.
2, 24
Let c be (21 - 7 - 8)/(-3 + 5). Suppose -3*r + c*r = 2*r. Let r + 4/19*v + 2/19*v**4 + 8/19*v**3 + 10/19*v**2 = 0. What is v?
-2, -1, 0
Let k(t) be the first derivative of -16 + 5/4*t**4 - 15/2*t**2 - 10/3*t**3 + 0*t. Solve k(r) = 0 for r.
-1, 0, 3
Let l(y) be the second derivative of y**5/5 + 41*y**4/8 - 755*y**3/12 - 75*y**2 + 5*y - 1402. Factor l(x).
(x - 5)*(x + 20)*(8*x + 3)/2
Let q be (-84)/(-3)*(-63)/42. Let f be 15/q*16 - -6. Factor -2/7*b**3 + 2/7*b - 2/7*b**2 + 0 + f*b**4.
2*b*(b - 1)**2*(b + 1)/7
Let w(j) be the second derivative of 3*j**5/130 - 23*j**4/26 + 529*j**3/39 - 41*j**2 - j - 10. Let u(x) be the first derivative of w(x). Factor u(g).
2*(3*g - 23)**2/13
Let y(a) be the first derivative of 5*a**4/4 - 145*a**3/3 + 1115*a**2/2 - 975*a - 7320. Factor y(f).
5*(f - 15)*(f - 13)*(f - 1)
Let c(l) be the first derivative of l**4/40 - 169*l**3/30 + 166*l**2/5 - 66*l + 1208. Factor c(v).
(v - 165)*(v - 2)**2/10
Let o(n) be the first derivative 