
Let c = 4702648/5 + -940527. Factor -8/5*g**2 - c*g - 1/5*g**3 - 6/5.
-(g + 1)**2*(g + 6)/5
Let k be -8*39/(-1352)*13. Let f(s) be the second derivative of 1/8*s**k + 0*s**2 + 7*s - 5/48*s**4 + 0. Factor f(i).
-i*(5*i - 3)/4
Factor -296/7 - 300/7*j**2 - 594/7*j - 2/7*j**3.
-2*(j + 1)**2*(j + 148)/7
Let d(u) be the first derivative of 1/24*u**4 + 174 + 2133/4*u**2 - 2187/2*u + 161/18*u**3. Factor d(r).
(r - 1)*(r + 81)**2/6
Let m(x) be the third derivative of 1/39*x**3 - 44*x**2 + 0 + 0*x - 7/156*x**4 + 2/65*x**5. Factor m(y).
2*(3*y - 1)*(4*y - 1)/13
Let d(k) be the second derivative of -k**7/42 + 56*k**6/15 - 726*k**5/5 - 3248*k**4/3 - 6728*k**3/3 + 179*k - 3. Factor d(g).
-g*(g - 58)**2*(g + 2)**2
Suppose 6*d = 42 - 0. Let j be 260/28 - (-4)/(-14). Factor 10 - 4*r**2 - 1 + d*r**2 - 3 - j*r.
3*(r - 2)*(r - 1)
Let m = -581/6 - -5326/55. Let d(r) be the third derivative of -4/33*r**3 - 5/132*r**4 + 10*r**2 + 0 - m*r**5 + 0*r. Factor d(n).
-2*(n + 1)*(n + 4)/11
Let c(i) be the second derivative of i**6/195 + 16*i**5/13 + 53*i**4/26 + i + 1478. Factor c(h).
2*h**2*(h + 1)*(h + 159)/13
Find n such that -122/7*n - 2/7*n**2 + 136 = 0.
-68, 7
What is d in -684 + 5*d**2 + 21*d - 47*d**2 + 45*d**2 = 0?
-19, 12
Let c be -805*(-35)/980 + -28. Suppose -9/4 + c*u + 1/4*u**3 + 5/4*u**2 = 0. What is u?
-3, 1
Find p such that 212/3*p - 7/3*p**5 - 40 + 335/3*p**3 + 210*p**2 + 10*p**4 = 0.
-3, -2, -1, 2/7, 10
Let i(k) be the second derivative of 8 + 1/80*k**5 - 13/8*k**2 - 11/48*k**4 - 25/24*k**3 - 3*k. Find b such that i(b) = 0.
-1, 13
Let y(x) be the third derivative of 1/5*x**5 - 1/8*x**4 - 7 + 0*x - 1/35*x**7 - x**3 - 1/112*x**8 + 1/20*x**6 - 3*x**2. Suppose y(s) = 0. What is s?
-2, -1, 1
Let c(t) = -t**3 + 14*t**2 - 11*t + 29. Let x be c(13). Let k be x/132*4/10. Factor 0 + k*u**2 + 1/2*u.
u*(u + 3)/6
Let w be (-92)/(-18) - (-47)/(1739/(-185)). Factor 0 - w*n**2 - 1/9*n**4 - 2/9*n**3 + 0*n.
-n**2*(n + 1)**2/9
Let z(r) be the first derivative of r**5/15 + 43*r**4/2 + 16381*r**3/9 - 5590*r**2 + 16900*r/3 + 525. Determine x so that z(x) = 0.
-130, 1
Let n be (-3)/(-33)*35 - (-14)/(-77). Factor 2*o**2 - 10*o + n*o**2 - 2*o**2 - 28 - o**2.
2*(o - 7)*(o + 2)
Let f = -2/36127 - -36131/72254. Find m such that 0 - f*m - 1/8*m**2 = 0.
-4, 0
Let o(s) be the second derivative of 0*s**5 + 0*s**3 - 1/19*s**2 + 1/57*s**4 - 1/285*s**6 - 7 - 3*s. Determine j so that o(j) = 0.
-1, 1
Let 48*t**3 + 15*t**2 - 22*t**4 + 3*t - 3*t - 34*t**3 + 21*t**4 = 0. What is t?
-1, 0, 15
Suppose 0 = 5*c - 2*d - 71 - 13, 0 = -3*c + d + 50. Let u be 3*1*c/24 - -4. Factor 3/2*z**3 + 27/2*z - 9*z**2 - u.
3*(z - 4)*(z - 1)**2/2
Suppose 234*k + 577*k - 84588 = -381*k - 822*k. Factor k*p - 18 - 9/2*p**3 - 39/2*p**2.
-3*(p - 1)*(p + 6)*(3*p - 2)/2
Let r(g) = -5*g**4 + g**3 - g**2. Let o(t) = -t**5 + 39*t**4 - 51*t**3 + 69*t**2 - 41*t + 10. Let m(q) = -3*o(q) - 15*r(q). Determine i, given that m(i) = 0.
1, 10
Suppose -4*b = -3*q + 2320, 1691 = -5*q + 5*b + 5566. Let x be 8/(-28) + q/210. Find a such that 3*a**2 - 48/7 - x*a - 3/7*a**3 = 0.
-1, 4
Let z(o) be the first derivative of o**6/45 + 26*o**5/25 - o**4/10 - 238*o**3/45 - 26*o**2/5 - 9605. Suppose z(t) = 0. What is t?
-39, -1, 0, 2
Factor 1332/7*r + 3/7*r**2 - 1335/7.
3*(r - 1)*(r + 445)/7
Factor 1647/8*k**3 - 3/8*k**4 - 819/4 + 4917/8*k - 4923/8*k**2.
-3*(k - 546)*(k - 1)**3/8
Let d(r) be the third derivative of r**6/44 + 457*r**5/330 - 247*r**4/132 + 31*r**3/33 + 352*r**2 - 2*r + 3. Suppose d(o) = 0. Calculate o.
-31, 1/5, 1/3
Let c(v) be the first derivative of v**4/6 + 82*v**3/9 + 368*v**2/3 + 1160*v/3 - 7052. Let c(q) = 0. What is q?
-29, -10, -2
Suppose -17*g - 27*g + 88 = 0. Let j = -714 - -714. Factor 0*f + j + 16/7*f**g + 4/7*f**4 + 16/7*f**3.
4*f**2*(f + 2)**2/7
Let p be (-3)/(-18) - (-7 + 21633/(-18)). Let r = p + -7253/6. Let 1/6*k - r*k**2 + 1/3 = 0. Calculate k.
-1, 2
Let q(r) be the third derivative of r**5/12 + 3725*r**4/6 + 5550250*r**3/3 - 92*r**2 - 16*r - 2. Factor q(f).
5*(f + 1490)**2
Suppose -6*w + 7*w = q + 8, -4 = -4*w - 3*q. Let h(i) be the second derivative of 0 + 1/2*i**2 + 3/4*i**w + 11*i - i**3. Solve h(a) = 0 for a.
1/3
Let i = -78802 - -78804. Factor -57/4*g**i - 6859/4 + 1/4*g**3 + 1083/4*g.
(g - 19)**3/4
Let z(c) be the second derivative of -3 + 0*c**2 + 9/4*c**4 - 4*c + 1/2*c**3. Let z(b) = 0. What is b?
-1/9, 0
Suppose 3*r = -2*r - m + 3620, -3*r + 5*m = -2200. Let 4 - 3 + r*x - 723*x - 16*x**2 - 2*x**3 + 15 = 0. Calculate x.
-8, -1, 1
Factor -176*o - 11*o**3 - 30*o**3 - 128 - o**4 - 125*o**2 + 36*o**3 - 11*o**3 + 41*o**2.
-(o + 2)**2*(o + 4)*(o + 8)
Let x = -606999/13 + 46693. Find c such that x*c + 2/13 - 10/13*c**3 - 2/13*c**2 = 0.
-1, -1/5, 1
Let w(t) be the second derivative of 2/3*t**6 + 0 - 2/21*t**7 + 0*t**3 - 3*t**4 + 180*t - 3/5*t**5 + 0*t**2. Let w(u) = 0. What is u?
-1, 0, 3
Let f = 356 - 1289. Let r = f - -935. Factor 2/3*t**3 + 12 - 2*t - 8/3*t**r.
2*(t - 3)**2*(t + 2)/3
Suppose -173*h = -46334 + 45642. Suppose 6*m - 5*m**2 - 6*m**3 + 11/2 - 1/2*m**h = 0. Calculate m.
-11, -1, 1
Let l(f) be the second derivative of 18*f - 1/3060*f**6 + 0*f**2 + 0 - 1/1020*f**5 + 0*f**4 + 5*f**3. Let c(x) be the second derivative of l(x). Factor c(d).
-2*d*(d + 1)/17
Let w(a) be the first derivative of 1/2*a**2 - 5/6*a**3 - 43/40*a**5 - 31/16*a**4 - 3/16*a**6 + 0*a + 39. Solve w(c) = 0 for c.
-2, -1, 0, 2/9
Let p(x) be the first derivative of -x**3/12 + 11*x**2/8 + 63*x/2 - 1241. Factor p(n).
-(n - 18)*(n + 7)/4
Find w, given that 566*w + 346*w**3 - 350*w**3 + 220*w**2 - 342*w = 0.
-1, 0, 56
Let s(u) = -u - 6. Let o be s(-4). Let b be (-80)/(-44) - ((-40)/(-22) + o). Let 35*p + 30*p + 20*p - 36*p**4 - 48*p**3 + 16 + 20*p**b - 37*p = 0. Calculate p.
-1, -2/3, 1
Let r(u) = -u**2 - u + 1. Let j(z) = -z**2 - 14*z - 1. Let o(i) = -16*i - 2. Let f(c) = -4*j(c) + 3*o(c). Let q(m) = 2*f(m) + 12*r(m). Factor q(n).
-4*(n - 2)*(n + 1)
Let k(y) be the second derivative of 4*y**7/7 - 691*y**6/75 + 52*y**5/25 + 871*y**4/30 - 164*y**3/15 - 36*y**2 + 3461*y - 2. Solve k(m) = 0 for m.
-1, -2/5, 2/3, 1, 45/4
Factor -2/3*d**3 + 0*d + 0 - 4348/3*d**2.
-2*d**2*(d + 2174)/3
Let f(h) be the first derivative of -h**6/1440 - h**5/120 + 2*h**3/3 + 17*h**2/2 - 100. Let l(o) be the third derivative of f(o). Suppose l(v) = 0. Calculate v.
-4, 0
Let o(h) = -4*h**4 + 2*h**3 + 99*h**2 + 24*h + 6. Let l(y) = -3*y**4 + 2*y**3 + 99*y**2 + 16*y + 4. Let m(t) = 3*l(t) - 2*o(t). Factor m(j).
-j**2*(j - 11)*(j + 9)
Let r(h) be the second derivative of -h**5/30 - 73*h**4/9 - 568*h**3/9 - 1939*h. Factor r(n).
-2*n*(n + 4)*(n + 142)/3
Let r be 3 + (6 + -13)/((3 - 1) + 2). Let y be 1 - 4/((-80)/(-15)). Determine l so that -y*l**2 + r + l = 0.
-1, 5
Let v(t) be the third derivative of t**8/1008 + 8*t**7/315 + 59*t**6/360 + 11*t**5/45 - 1340*t**2. Let v(o) = 0. Calculate o.
-11, -4, -1, 0
Let n be (1/((-2)/(-5)))/((-206855)/67698*(-3)/11). Factor 1/10*m**5 + 1/5*m**2 - 3/10*m + 1/5*m**n - 3/10*m**4 + 1/10.
(m - 1)**4*(m + 1)/10
Let y be (-1)/(-54)*(-63 + 69)*3. What is j in 2/3*j**3 + 2*j**4 + y*j**5 - 10/3 - 9*j - 20/3*j**2 = 0?
-5, -1, 2
Let i(x) be the second derivative of x**6/30 + 9*x**5 + 928*x**4 + 127832*x**3/3 + 585336*x**2 - 4545*x. Let i(s) = 0. Calculate s.
-58, -6
Suppose -s = -2*s. Let l = -1320 + 1322. Factor s*w + w**2 - 2 + w - l*w.
(w - 2)*(w + 1)
Let a(g) be the third derivative of -g**5/15 + 53*g**4/3 + 144*g**3 - 10*g**2 - 243. Factor a(s).
-4*(s - 108)*(s + 2)
Let g(u) be the second derivative of -3/160*u**5 - 75/16*u**3 + 15/32*u**4 + 2*u + 375/16*u**2 + 40. Factor g(i).
-3*(i - 5)**3/8
Let d be (-5)/(-60)*(-9 - (-9 - 8)). Let x(k) be the first derivative of -8/5*k - d*k**3 + 16 + 12/5*k**2. Factor x(j).
-2*(j - 2)*(5*j - 2)/5
Suppose -4*m - 26 = 3*d, 936*d - 2 = 931*d - m. Factor 3456 + 2/3*c**d - 96*c.
2*(c - 72)**2/3
Factor -174/5*k - 2/5*k**3 - 234/5 - 38/5*k**2.
-2*(k + 3)**2*(k + 13)/5
Let t(o) = 5*o**4 + 15*o**3 + o**2 - 419*o - 806. Let s(y) = -6*y**4 - 15*y**3 + 3*y**2 + 418*y + 805. Let q(i) = -4*s(i) - 5*t(i). Factor q(a).
-(a - 5)*(a + 2)*(a + 9)**2
Find o such that -64*o**2 + 100 - 92*o**2 - 63*o**2 + 220*o**2 - 29*o = 0.
4, 25
Determine p so that 36/5 + 24/5*p**2 + 58/5*p + 2/5*p**3 = 0.
-9, -2, -1
Let j(r) be the s