
-2*(i + 1)*(3*i + 17)**2/15
Solve 3313*i - 1216 - 20*i**3 - 1222*i - 492 - 1124 + 7068*i**2 + 2165*i = 0 for i.
-1, 2/5, 354
Factor 4886467 - 8*s**2 - 2*s**2 - 18136067 + 14560*s + 6*s**2.
-4*(s - 1820)**2
Let s(k) be the third derivative of 0*k**3 + 1/330*k**6 - 1/1848*k**8 + 4*k**2 + 2/55*k**5 - 3/44*k**4 + 0 - 4/1155*k**7 - k. Factor s(f).
-2*f*(f - 1)**2*(f + 3)**2/11
Factor -24*n + 410/17 - 2/17*n**2.
-2*(n - 1)*(n + 205)/17
Let 4/3*k**2 - 172/3*k + 328/3 = 0. Calculate k.
2, 41
Let d be (12/(432/846) - 16)/((-114)/(-8)). Factor 2/19*q**4 + 0*q - d*q**3 - 12/19*q**2 + 0.
2*q**2*(q - 6)*(q + 1)/19
Let q(p) be the second derivative of -p**5/90 - 11*p**4/6 - 248*p**3/9 - 1456*p**2/9 + 2744*p. Suppose q(g) = 0. What is g?
-91, -4
Let c(l) = -12*l + 60. Suppose -f - 4*i + 7*i + 2 = 0, 5*i - 10 = -f. Let u be c(f). Factor 0*g + 2/7*g**2 + u*g**3 - 2/7*g**4 + 0.
-2*g**2*(g - 1)*(g + 1)/7
Determine r so that 6/7*r**2 + 2/21*r**3 - 2/21*r**4 - 6/7*r + 0 = 0.
-3, 0, 1, 3
Let g be (-18 - (-5 - -8 - -1 - 4))/(-4). Solve 16 + 37*n**2 - g*n**3 - 80*n = 0 for n.
2/9, 4
Factor 322580/3 + 171*s**2 + 1/3*s**3 + 22352*s.
(s + 5)*(s + 254)**2/3
Let t(v) be the first derivative of 5*v**6/6 + 2*v**5 - 25*v**4/4 - 10*v**3 - 1460. Solve t(f) = 0.
-3, -1, 0, 2
Let q(y) be the third derivative of -y**6/144 - 5*y**5/36 - 10*y**4/9 - 40*y**3/9 + 2*y**2 - 1501*y. Let q(b) = 0. What is b?
-4, -2
Factor 1/7*i**3 + 10/7 - 13/7*i + 2/7*i**2.
(i - 2)*(i - 1)*(i + 5)/7
Let a be 1/3*(-6)/4*(-244)/183. Factor -a*o**2 - 2/3*o**3 + 2/3*o**4 + 2/3*o**5 + 0*o + 0.
2*o**2*(o - 1)*(o + 1)**2/3
Let q(d) be the second derivative of -d**4/12 + 118*d**3/3 - 464*d**2 - 1654*d. Factor q(p).
-(p - 232)*(p - 4)
Let c(u) be the first derivative of 5*u**2 + 76 + 5*u**4 + u**5 + 25/3*u**3 + 0*u. Let c(o) = 0. What is o?
-2, -1, 0
Let k = 4824601/660 + -7310. Let d(h) be the third derivative of -1/66*h**5 - 30*h**2 + 0*h - 1/11*h**3 - k*h**6 + 0 - 7/132*h**4. Let d(c) = 0. What is c?
-3, -1
Suppose 7 = -2*n + n - 4*d, 0 = -2*n + d + 13. Let -93*v**3 - 12*v**n - 5*v**4 - 372*v**2 - 75*v**4 + 332*v**2 - 15*v**3 = 0. Calculate v.
-5, -1, -2/3, 0
Suppose -2*s = 3*m - 19, -3*m + s + 3*s = 11. Suppose m*g + 4*g - 21 = 0. Factor 16*b**2 - 4*b**3 - 9*b + 0*b**g - 3*b.
-4*b*(b - 3)*(b - 1)
Let y(n) be the third derivative of -n**7/420 - n**6/36 + n**5/10 - 41*n**3/6 - 5*n**2 - 2*n. Let x(t) be the first derivative of y(t). Factor x(a).
-2*a*(a - 1)*(a + 6)
Let x(d) be the first derivative of -4*d**3/3 - 58*d**2 + 248*d + 416. Factor x(a).
-4*(a - 2)*(a + 31)
Let m(g) be the second derivative of g**5/40 - 133*g**4/12 - 535*g**3/12 - 67*g**2 - 2*g - 2924. Suppose m(l) = 0. What is l?
-1, 268
Let j(r) = -r**2 + 6*r + 2. Let p be j(0). Factor 5*q**2 - q**3 - 4*q + 0*q**2 - q**p + 2 - q.
-(q - 2)*(q - 1)**2
Let x = 71 + -69. Factor -5*m**4 - 8*m**3 + 8*m - 15*m**4 + 20*m**x + 0*m**4.
-4*m*(m - 1)*(m + 1)*(5*m + 2)
Suppose -2*c + 58 = u + 50, -38 = -5*c - u. Factor 0*g + 0 - 2/3*g**5 - c*g**3 + 6*g**2 + 14/3*g**4.
-2*g**2*(g - 3)**2*(g - 1)/3
Find g, given that 534 + 3*g**2 - 320 + 216*g - 3*g**2 + 2*g**2 = 0.
-107, -1
Let f be -16 + 26400/1625 + 1 + (-11)/13. Let o(j) be the first derivative of -1/5*j**4 + 7 + f*j**3 - 2/25*j**5 + 4/5*j**2 - 8/5*j. Factor o(t).
-2*(t - 1)**2*(t + 2)**2/5
Let n(b) be the third derivative of b**7/105 + 71*b**6/30 + 168*b**5 - 71*b**4/6 - 5041*b**3/3 - b**2 - 452*b. Let n(h) = 0. Calculate h.
-71, -1, 1
Suppose -29*r = -28*r - 3. Factor 22*s**2 - 120*s**4 + 14*s + 99*s**r - 52*s**2 + 48*s**5 - 11*s.
3*s*(s - 1)**2*(4*s - 1)**2
Let t be 44/8*-10*6/(-495). Let f(h) be the first derivative of 15 - 4*h + 3*h**2 - t*h**3. Factor f(b).
-2*(b - 2)*(b - 1)
Suppose 5*o + 190 = 200. Factor -1600 + 2*s**o + 34*s - 3*s**2 + 43*s + 3*s.
-(s - 40)**2
Let 3 - 2112*a**4 - 373815*a**3 - 3*a**5 - 562813*a**2 - 176393*a**2 - 3 = 0. What is a?
-351, -2, 0
Let w(a) be the first derivative of -2*a**3/15 - 16*a**2/5 - 24*a + 212. Determine t, given that w(t) = 0.
-10, -6
Let w(m) be the third derivative of 31*m**2 + 9/80*m**6 + 0 + 0*m**4 + 0*m**3 + 1/224*m**8 + 0*m - 1/10*m**5 - 3/70*m**7. Solve w(z) = 0.
0, 1, 4
Let u(l) be the third derivative of 1/840*l**7 - 11*l**2 + 0*l**6 + 0*l - 1/240*l**5 + 1/192*l**4 + 0 - 1/2688*l**8 + 0*l**3. Factor u(g).
-g*(g - 1)**3*(g + 1)/8
Let k(v) be the second derivative of -1/4*v**3 + 2*v - 24 + v**2 - 1/24*v**4. Factor k(n).
-(n - 1)*(n + 4)/2
Let h(c) be the second derivative of 2*c**5/5 - 19*c**4/3 + 6*c**3 - 2*c - 123. Let h(g) = 0. Calculate g.
0, 1/2, 9
Let z(d) be the first derivative of d**3/2 - 339*d**2 + 76614*d - 1890. What is w in z(w) = 0?
226
Let p(j) be the third derivative of j**5/150 - 941*j**4/60 + 626*j**3/5 - 5*j**2 + 140*j - 2. Factor p(b).
2*(b - 939)*(b - 2)/5
Let l(b) be the first derivative of -b**8/2160 + 31*b**7/1890 + b**6/90 + 2*b**3/3 - 6*b**2 + 87. Let p(y) be the third derivative of l(y). Solve p(a) = 0.
-2/7, 0, 18
Let h(c) = -c + 16. Let k be (-35)/(-10)*(2 - (1 + -3)). Let r be h(k). Factor -4/13 + 2/13*b + 2/13*b**r.
2*(b - 1)*(b + 2)/13
Let w(m) be the third derivative of m**7/1995 - 1789*m**6/1140 + 1787*m**5/190 - 5359*m**4/228 + 94*m**3/3 + 1662*m**2 - 2*m. Factor w(o).
2*(o - 1786)*(o - 1)**3/19
Let 6048*p**2 + 6048*p**2 - 3948 - 104*p - 12092*p**2 = 0. Calculate p.
-21, 47
Let p = -208 + 232. Suppose 0 = 4*n - 4*a - p, -2*n + a = -8 - 1. Let 3/7*c - 78/7*c**2 + 33/7*c**n + 36/7*c**4 + 6/7 = 0. Calculate c.
-2, -1/4, 1/3, 1
Suppose -6*h**4 - 4*h**5 + 16*h**2 + 2 + 2 - 19*h**2 + 29*h**2 + 18*h + 10*h**3 = 0. Calculate h.
-1, -1/2, 2
Let 538/5*x**3 + 12584/5*x + 5408/5 + 2*x**4 + 7704/5*x**2 = 0. Calculate x.
-26, -1, -4/5
Let p(t) be the first derivative of -5*t**6/6 + 242*t**5/5 - 24*t**4 + 6322. Factor p(b).
-b**3*(b - 48)*(5*b - 2)
Let g = -1735 + 1212. Let j = g + 4711/9. Let j + 2/3*d**2 + 2/9*d**3 - 2/9*d**4 - 10/9*d = 0. What is d?
-2, 1
Let o(f) = -f + 19. Let l(c) = -c**2 - 112*c - 697. Let u(m) = l(m) - 5*o(m). Factor u(a).
-(a + 8)*(a + 99)
Let s = -1266268 + 8864020/7. Factor 2/7*b**4 + s - 18/7*b**3 + 4/7*b**2 + 24*b.
2*(b - 6)**2*(b + 1)*(b + 2)/7
Suppose -18 = f - 10*f. Factor 43*t - 3*t**2 + 14*t**f - 3*t - 7*t**2.
4*t*(t + 10)
Let p(z) = -z**3 + 2*z**2 + 22*z - 6. Let l be p(8). Let s = 217 + l. Solve -14/11*y**4 - 10/11*y**5 + 0*y + 0 + 0*y**2 - 4/11*y**s = 0 for y.
-1, -2/5, 0
Let y(b) be the third derivative of 1/540*b**6 - 43*b**2 - 7/108*b**4 - 1/135*b**5 - 4/27*b**3 + 0*b + 0. Factor y(m).
2*(m - 4)*(m + 1)**2/9
Let k(m) be the first derivative of -m**4/18 - 2*m**3/9 + 16*m**2/9 - 8*m/3 + 648. Factor k(t).
-2*(t - 2)*(t - 1)*(t + 6)/9
Let l = 367387/1836885 + -2/367377. Factor l*d**3 + 0 + 1/5*d + 2/5*d**2.
d*(d + 1)**2/5
Suppose 8*c**4 + 5077*c**2 + 38*c**3 + 237*c**3 - 1184*c + 588 - 4233*c**2 - 63*c**3 - 468*c = 0. Calculate c.
-21, -7, 1/2, 1
Let m be (-30)/4 + (-6)/(-4) - (-6496)/784. Factor -m*l**2 + 76/7*l + 20/7.
-4*(l - 5)*(4*l + 1)/7
Let k(r) be the second derivative of -2/15*r**6 + 2/5*r**5 + 1 + 0*r**2 + 25*r + 1/3*r**4 - 4/3*r**3. Suppose k(g) = 0. What is g?
-1, 0, 1, 2
Factor -2/7*k**2 - 904/7 + 456/7*k.
-2*(k - 226)*(k - 2)/7
Let m = -67855 - -135713/2. Let 3*g**2 + 3 - 6*g**4 - m*g**5 + 15/2*g - 6*g**3 = 0. What is g?
-2, -1, 1
Let m(a) be the first derivative of -2*a**3/3 + 41*a**2 + 1540*a - 6988. What is t in m(t) = 0?
-14, 55
Let m(p) be the first derivative of 13*p**4/2 - 958*p**3/3 - 1088*p**2 - 312*p - 7204. Determine z, given that m(z) = 0.
-2, -2/13, 39
Let t(j) be the third derivative of -j**8/252 - 17*j**7/945 - j**6/36 - j**5/90 + j**4/108 - 5*j**2 - 67*j. Factor t(x).
-2*x*(x + 1)**3*(6*x - 1)/9
Suppose -6397*g + 3*s - 39 = -6394*g, 4*g = 5*s - 68. Determine y so that -3/7*y**g + 75/7*y**2 - 72*y + 432/7 = 0.
1, 12
Solve 1216/13*j**2 + 367236/13 + 2/13*j**3 + 186042/13*j = 0 for j.
-303, -2
Let d(t) be the third derivative of 20/51*t**3 + 0*t + 1/17*t**4 + 0 + 1/510*t**5 + 283*t**2. Factor d(a).
2*(a + 2)*(a + 10)/17
Let g be -43*(-1)/(-15) + (-4 - -1) + 6. Let p be -6 - 18/(-3) - -4. Determine a so that 32/15 - 4/3*a**3 + 22/5*a**2 + g*a**p - 16/3*a = 0.
1, 4
Let j(w) be the second derivative of 6*w**2 - 9/2*w**3 + 0 + 203*w + 3/2*w**4 - 3/20*w**5. Factor j(k).
-