3*f - 1)/2
Let n(w) be the first derivative of -85*w**4/14 - 172*w**3/7 - 9*w**2/7 + 982. Factor n(k).
-2*k*(k + 3)*(85*k + 3)/7
Suppose -10*o = -2*l - 13*o + 57, -91 = -7*l + 5*o. Let r(f) be the third derivative of -5/3*f**3 - l*f**2 + 1/12*f**5 + 0 - 5/24*f**4 + 0*f. Factor r(u).
5*(u - 2)*(u + 1)
Let m = -43441/2 - -22378. Let y = -657 + m. Solve -z**3 + 3/2*z - z**2 - y + 3/2*z**4 - 1/2*z**5 = 0.
-1, 1
Let w(a) be the first derivative of -2 + 1/12*a**6 - 1/3*a**3 + 0*a**2 - 3/8*a**4 + 0*a**5 + 0*a. Factor w(t).
t**2*(t - 2)*(t + 1)**2/2
Let c(l) = 45*l**4 - 1185*l**3 + 660*l**2 + 1695*l. Let u(s) = 2*s**4 - 54*s**3 + 30*s**2 + 77*s. Let d(k) = -3*c(k) + 65*u(k). Let d(i) = 0. Calculate i.
-1, 0, 2, 8
Let w(j) be the third derivative of j**9/1680 - j**8/224 + j**7/840 + j**6/40 - 5*j**4/2 - 18*j**2. Let g(a) be the second derivative of w(a). Factor g(m).
3*m*(m - 3)*(m - 1)*(3*m + 2)
Let j(p) be the third derivative of p**6/280 + 17*p**5/140 + 5*p**4/7 - 150*p**3/7 + 13*p**2. Suppose j(q) = 0. What is q?
-10, 3
Let j(i) be the second derivative of 14/13*i**2 - 7/39*i**4 - 1/130*i**5 + 0 + 73*i + 1/39*i**3. Solve j(q) = 0 for q.
-14, -1, 1
Let b(i) be the third derivative of 0 + 0*i + 13*i**2 - 1/10*i**5 + 0*i**4 + 1/60*i**6 + 0*i**3. Find g such that b(g) = 0.
0, 3
Let y(h) be the first derivative of -h**5/5 + 841*h**4/4 - 78399*h**3 + 21714275*h**2/2 + 44376082*h + 9495. Factor y(j).
-(j - 281)**3*(j + 2)
Let s be 70 - -2 - 505438/7144. Factor -1/8*w**2 - 2 + s*w.
-(w - 8)*(w - 2)/8
Suppose -4*t + a = 2*a - 55, -3*t = 2*a - 35. Factor -10*y - 51*y**2 - 4*y + 32*y + t*y**3.
3*y*(y - 3)*(5*y - 2)
Let 161/3 - 215/2*h + 54*h**2 - 1/6*h**3 = 0. Calculate h.
1, 322
Let h be (10/6)/((-508)/(-1270) + (-13)/(-30)). Suppose t - 1/3*t**h + 0 = 0. Calculate t.
0, 3
Solve -462 - 11*t**2 - 3*t**2 - 148*t**2 + 208*t + 2*t**3 - 154*t + 568*t = 0.
1, 3, 77
Let w(z) = -z**3 + 14*z**2 + 13*z + 32. Let l be w(15). Solve 35*t**3 - 5*t**2 + 35*t**l - 6*t**5 + t**5 = 0 for t.
-2, -1, 0, 3
Let 9829*w**3 - 17*w**4 + 396*w**2 - 9865*w**3 + 4*w**5 - 27*w**4 = 0. What is w?
-3, 0, 3, 11
Find g such that 242/7*g**3 - 64/7*g**2 - 236/7*g**4 + 0 - 8/7*g + 66/7*g**5 = 0.
-1/11, 0, 2/3, 1, 2
Let r(t) be the first derivative of 2*t**5/15 - 5*t**4/6 + 14*t**3/9 - t**2 + 1604. Suppose r(d) = 0. Calculate d.
0, 1, 3
Let r(m) be the third derivative of m**6/720 - 67*m**5/360 + 68*m**4/9 + 289*m**3/9 - 6*m**2 - 102*m. Solve r(k) = 0 for k.
-1, 34
Let f(o) be the third derivative of o**7/399 - 23*o**6/190 + 7*o**5/10 + 391*o**4/114 + 80*o**3/19 - 12*o**2 - 78*o. Let f(y) = 0. What is y?
-1, -2/5, 5, 24
Let x(u) be the second derivative of -u**5/20 - 2*u**4/3 - 7*u**3/6 + 3*u**2/2 + 17*u. Let c be x(-7). Factor -65*a + 3*a**3 + 140*a - 48*a**2 + 69*a + a**c.
4*a*(a - 6)**2
Let s = -85486 + 85486. What is l in -2/15*l**3 + 2/15*l**4 + 0*l**2 + 0 + s*l = 0?
0, 1
Let x(q) be the second derivative of 29/30*q**4 - 4 + 2/25*q**5 + 6/5*q**2 - q + 31/15*q**3. Factor x(o).
2*(o + 1)*(o + 6)*(4*o + 1)/5
Suppose 7*p - 15576 = 11024. Factor -190*x**3 - 1605*x**2 + p*x - 2*x**4 + 642 - 1005 - 3*x**4 - 1637.
-5*(x - 1)**2*(x + 20)**2
Factor -7466/3*p + 13935289/3 + 1/3*p**2.
(p - 3733)**2/3
Let k be 1 - ((-14)/(-77) + (-62)/(-22)). Let q be (174/(-116))/(1/k). Find s such that -6*s - 2 - 11/2*s**2 - 3/2*s**q = 0.
-2, -1, -2/3
Solve -8*n**2 + 296*n**4 + 4*n**5 + 274*n**4 - 64*n**3 - 562*n**4 + 60*n = 0 for n.
-5, -1, 0, 1, 3
Let l(m) be the third derivative of -1/72*m**4 + 1/1080*m**6 + 0*m + 0*m**5 + 0 - 55*m**2 - 1/27*m**3. Suppose l(q) = 0. Calculate q.
-1, 2
Let i(g) be the first derivative of 0*g - 48*g**2 + 3/4*g**4 - 45 - 31*g**3. Determine a so that i(a) = 0.
-1, 0, 32
Suppose 7 = -15*v + 22. Let s be (175/(-7)*v)/(-4). Factor s + 1/4*y**2 - 5/2*y.
(y - 5)**2/4
Suppose -16 = -4*f - 4*g, 0 = 2*f - g + 6*g + 4. Suppose 8 = 5*h + l, -2*h - 3*l + 9 - 11 = 0. Factor -f*q**h - q**2 + 4*q**2 - 4*q - q**3.
-q*(q + 1)*(q + 4)
Let o(u) be the third derivative of u**6/40 - 27*u**5/20 - 57*u**4/8 + 3971*u**3/2 - 1295*u**2. Find b such that o(b) = 0.
-11, 19
Let d(v) be the first derivative of v**6/6 + 19*v**5 + 1625*v**4/2 + 43750*v**3/3 + 78125*v**2/2 - 1953125*v - 769. Factor d(o).
(o - 5)*(o + 25)**4
Let w = 607 + -566. Suppose t - 2 = -c, w*c = 37*c + 2*t + 20. Solve 4/5*j**4 - 8/5 + c*j - 4/5*j**3 - 12/5*j**2 = 0 for j.
-2, 1
Let t(g) be the first derivative of 1/16*g**4 + 1/8*g**3 + 10*g - 9/4*g**2 - 21. Let p(a) be the first derivative of t(a). Solve p(c) = 0 for c.
-3, 2
Let r(j) be the second derivative of -1/20*j**5 + 4 - 9*j - 1/3*j**4 - 1/2*j**3 + 0*j**2. Find z, given that r(z) = 0.
-3, -1, 0
Let f(m) = 2*m**2 - m - 7. Let a(c) = c**2 + 1. Let v(g) = 4*a(g) + f(g). Let j be v(-3). Factor -30*i**5 + 25*i**4 + 66*i**5 + j*i**5 - 10*i**3.
5*i**3*(2*i + 1)*(9*i - 2)
Suppose -z + 2*z + 681 = -3*v + 682, 2*z = -16. Determine c so that 39/4 + 15/8*c**v - 51/2*c**2 + 111/8*c = 0.
-2/5, 1, 13
Let h(d) be the first derivative of -d**6/21 - 4*d**5/35 + 31*d**4/14 + 184*d**3/21 + 60*d**2/7 - 609. Suppose h(o) = 0. What is o?
-5, -2, -1, 0, 6
Let d be (1*420/(-9))/((-1)/3). Let n be d/44 - (3 + 0). Solve 0 + 0*r + n*r**2 = 0 for r.
0
Suppose 72*h - 384 = 48*h. Let -27*p**2 - 100 - 13*p + 17*p - 4*p**3 + 111*p**2 + h = 0. What is p?
-1, 1, 21
Let f = 317/9 + -35. Let c(i) = 374*i + 3368. Let v be c(-9). Determine x so that -50/9 + 20/9*x - f*x**v = 0.
5
Solve -7 + 62*z**3 + 3865*z**2 + 995*z**2 + 12225*z + 257 + 423*z**3 = 0 for z.
-5, -2/97
Suppose -5*q - 31 = -l + 25, -5*q = -3*l + 58. Let a be (-11)/(143/117) - q. Factor 2 + 0*h - 2/9*h**a.
-2*(h - 3)*(h + 3)/9
Let f(t) be the second derivative of -90*t - 7/375*t**6 - 59/150*t**4 + 169/75*t**3 + 0 - 61/250*t**5 - 42/25*t**2. Suppose f(y) = 0. Calculate y.
-7, -3, 2/7, 1
What is y in 26/5*y**2 - 2/5*y**3 + 0 - 12*y = 0?
0, 3, 10
Let j be 6/18 + 1585/951. Let m be (-44)/(-42) - (-4)/14. Determine a, given that 0 - m*a - 2/3*a**j = 0.
-2, 0
Let o(x) = 3*x**2 + 267*x + 504. Let m(b) = 6*b**2 + 537*b + 1011. Let k(u) = 6*m(u) - 13*o(u). Let k(v) = 0. What is v?
-81, -2
Let v = 307649 + -1538241/5. Find k, given that 0 + 12/5*k - 18/5*k**3 - v*k**5 + 21/5*k**4 - 11/5*k**2 = 0.
-3/4, 0, 1, 4
Let l(f) be the third derivative of f**8/672 + 67*f**7/140 + 5197*f**6/120 + 4867*f**5/20 - 3465*f**4/16 - 9801*f**3/4 + 1595*f**2. Solve l(b) = 0.
-99, -3, -1, 1
Let s be (2/8*10)/(2685/2148). Factor -9/5*o - 1/5*o**s - 14/5.
-(o + 2)*(o + 7)/5
Suppose 3*h + 9 = 3*b, -3*b + 19 = -6*h + 8*h. Factor 6*r + 17 + 2*r**5 - 21 - 3*r**h + 7*r**2 + 2*r**3 - 10*r**3.
2*(r - 1)**3*(r + 1)*(r + 2)
Let w(a) be the first derivative of 0*a + 104/33*a**3 + 8/11*a**5 + 27/11*a**4 - 56 + 17/11*a**2 + 1/33*a**6. Factor w(x).
2*x*(x + 1)**3*(x + 17)/11
Let i(w) be the second derivative of -w**5/20 - w**4/3 + 10*w**3/3 - 5*w**2/2 + w + 63. Let a be i(-7). Solve 1/9*r**a - 2/9*r + 0 = 0.
0, 2
Solve -32/3 + 4*y**3 - 2/3*y**4 - 2/3*y**2 - 16*y = 0 for y.
-1, 4
Let c = -5 + 8. Suppose 0 = 9*f - 13*f - 2*s + 6, -5*f + 5 = 5*s. Suppose -2*j**c + j + 3*j - 4*j + 2*j**f = 0. Calculate j.
0, 1
Let j(v) be the first derivative of -374*v**3/15 - 32*v**2 + 96*v/5 + 112. Factor j(s).
-2*(11*s + 12)*(17*s - 4)/5
Let y(m) = -m**3 - 4*m**2 - 33*m - 12. Let w be y(-8). Suppose 512*n = w*n + 20. Suppose 32/5*q**3 + 2/5*q**n + 0*q**2 + 0*q + 16/5*q**4 + 0 = 0. What is q?
-4, 0
Let a(n) = n - 35. Let u be a(45). Suppose 0 = -u*w + 61 - 61. Factor w + 2/5*t**5 - 4/5*t**4 + 0*t**2 + 2/5*t**3 + 0*t.
2*t**3*(t - 1)**2/5
Let x(l) be the third derivative of -17*l**6/1380 - 53*l**5/690 - l**4/46 - 1532*l**2. Suppose x(v) = 0. Calculate v.
-3, -2/17, 0
Let w be 20/(-16)*12/(-30)*(3 - -1). Let x(n) be the third derivative of 0*n**3 + 1/90*n**5 + 2/9*n**4 + 0*n + 0 - 33*n**w. Factor x(q).
2*q*(q + 8)/3
Let y(g) be the third derivative of g**7/490 + 143*g**6/280 + 5183*g**5/140 + 5041*g**4/56 - 521*g**2. Find l, given that y(l) = 0.
-71, -1, 0
Let h(i) = -35*i**2 - 5373*i + 10512. Let y(d) = 57*d**2 + 8955*d - 17526. Let c(z) = -18*h(z) - 11*y(z). Factor c(l).
3*(l - 595)*(l - 2)
Let z(s) be the first derivative of s**6/30 + 16*s**5/15 + 5*s**4/2 - 31*s**2 - 58. Let u(v) be the second derivative of z(v). What 