 - 83*m**4/24 + 41*m**3/3 + 113*m**2. Let k(z) = -2*i(z) - 22*r(z). Factor k(b).
-2*(b - 71)*(b - 1)
Let m be ((9 - -3) + -14)*(-2 - (-1)/2). Let a be (0 + (-3)/(-15))/1. Suppose 1/5*n**5 + a*n - 2/5*n**m + 1/5*n**4 + 1/5 - 2/5*n**2 = 0. What is n?
-1, 1
Let j(t) be the second derivative of -t**4/36 - t**3/6 + 119*t**2/3 - 3324*t + 1. Factor j(d).
-(d - 14)*(d + 17)/3
Let q = 209287 - 209283. Let 3/2*a**5 + 0 - 9/4*a**2 + 3/2*a**3 + 21/4*a**q + 0*a = 0. What is a?
-3, -1, 0, 1/2
Let q = -3 + 7. Let x be 4/2*(-81 + 83). Determine b, given that -4*b**x - b**q - 33*b**3 + 28*b**3 = 0.
-1, 0
Determine a so that 146*a**2 + 494*a**2 - 208*a + 3*a**5 - 176*a + 63*a + 320*a**2 + 312*a**4 - 954*a**3 = 0.
-107, 0, 1
Let n = -496/195 - -67/26. Let x(p) be the second derivative of 7*p - 1/200*p**5 + 0 + 1/10*p**2 - 1/12*p**3 + n*p**4. Factor x(t).
-(t - 2)*(t - 1)**2/10
Let j(o) be the second derivative of -2 - 5*o**3 + 25/12*o**4 + 0*o**2 + 1/4*o**5 + 4*o. Factor j(r).
5*r*(r - 1)*(r + 6)
Suppose 0 = 4*y - 17 - 7. Suppose 0 = 16*s - 19*s + y. Determine v so that 0 + v**3 - 3/2*v**s + 2/3*v - 1/6*v**4 = 0.
0, 1, 4
Suppose -3*i - u = -7*i + 10, -u + 2 = 0. Factor 27 + 3*y**3 - 14*y**2 + 35*y**2 - 2*y**i + 0*y**3 + 2*y**3 + 45*y.
3*(y + 1)*(y + 3)**2
Let l = 779756/6357 - -12/2119. Let i(h) be the first derivative of -378*h**4 - 16*h**2 + l*h**3 + 2548/5*h**5 + 0*h - 686/3*h**6 - 19. Factor i(s).
-4*s*(s - 1)*(7*s - 2)**3
What is n in 428 + 1/2*n**2 - 857/2*n = 0?
1, 856
What is h in -32*h - 1150/3*h**2 + 384 - 2/3*h**4 + 32*h**3 = 0?
-1, 1, 24
Let c(h) be the third derivative of -14*h**4 + 0 + 7/16*h**8 - 46/5*h**5 + 5/2*h**7 - 8*h**3 + 0*h + 11/5*h**6 + 127*h**2. Determine r so that c(r) = 0.
-2, -2/7, 1
Let n(l) be the second derivative of 2*l**6/15 - 8*l**5/5 - 9*l**4 + 148*l**3/3 - 80*l**2 - 1429*l. Factor n(g).
4*(g - 10)*(g - 1)**2*(g + 4)
Let k(v) = 6*v**4 + 13*v**3 - 5*v**2 + 5. Let q(z) = 7*z**4 + 12*z**3 - 6*z**2 + 6. Let u(m) = 6*k(m) - 5*q(m). Solve u(s) = 0 for s.
-18, 0
Let q = 4083/8 + -4073/8. Let r(o) be the first derivative of 25/8*o**2 + 25/8*o**4 + 5/24*o**6 + 16 - 5/4*o - q*o**5 - 25/6*o**3. Solve r(c) = 0 for c.
1
Let k(f) be the first derivative of f**4/6 - 8*f**3/3 + 35*f**2/3 - 16*f - 1812. Suppose k(u) = 0. Calculate u.
1, 3, 8
Let n(i) be the third derivative of -i**8/1512 + i**7/63 - 73*i**6/540 + 17*i**5/30 - 71*i**4/54 + 16*i**3/9 - 4*i**2 - 315. Solve n(l) = 0.
1, 2, 3, 8
Let y be (-22)/18 - -1 - (-365808)/54. Factor -3 + i**4 + 6764*i**2 - 3*i**3 - y*i**2 + 3.
i**2*(i - 5)*(i + 2)
Let n(o) be the second derivative of -1723683599*o**5/8 + 21564015*o**4/8 - 53955*o**3/4 + 135*o**2/4 + 4827*o. Factor n(d).
-5*(1199*d - 3)**3/2
Let y(k) = 49*k + 45*k - 1 - 95*k. Let t be y(-5). Solve 0 + 1/3*h + t*h**3 - 8/3*h**4 + 5/2*h**2 = 0.
-1/4, 0, 2
Let v(i) = i**4 + 25*i**3 + 209*i**2 + 675*i + 482. Let x(f) = f**2 + 1. Let s(z) = -v(z) - 4*x(z). Determine g, given that s(g) = 0.
-9, -6, -1
Let n = 397 + -601. Let m be n/(-272)*(-8)/(-7). Factor -2/7*w**3 - 6/7*w**2 - m*w - 2/7.
-2*(w + 1)**3/7
Let d = 104200 - 937799/9. Factor r**2 + 0 + 4/9*r + d*r**4 + 2/3*r**3.
r*(r + 1)**2*(r + 4)/9
Let v be ((-45)/(-12))/(25/40) + 3 + -9. Let z(q) be the first derivative of 0*q + v*q**4 + 41 - 1/2*q**3 - 1/2*q**2 + 1/10*q**5. Factor z(k).
k*(k - 2)*(k + 1)**2/2
Suppose -61 - 115 = 16*t. Let c be (-42)/(-120)*35 + t. Find l, given that c*l**3 + 1/4*l + 1/2 - 2*l**2 = 0.
-2/5, 1
Let t be (-8)/210*(2/4)/(6/(-42)). Find i, given that 0 - 2/15*i**3 + 0*i**2 + t*i = 0.
-1, 0, 1
Let r(v) = v**3 + 28*v**2 + 114*v + 1615. Let t be r(-26). Solve -228/5*p**2 - 16/5 - 38*p**t - 104/5*p - 10*p**4 = 0 for p.
-2, -1, -2/5
Let v = 1059 - 607. Let l = 454 - v. Factor -1/4*c**l + c - 3/4.
-(c - 3)*(c - 1)/4
Let i = -31 + 37. Suppose 4*z = i*z - 10. Let -15*r - z - r + 6 + 64*r**2 = 0. What is r?
1/8
Suppose -3*q + 939 = -4*l - 10716, -3*q = l + 2925. Let x be (l/28)/(-2 - (-6)/4). Factor -2/7 - 972/7*s**3 + x*s**4 - 432/7*s**2 - 52/7*s.
2*(s - 1)*(9*s + 1)**3/7
Suppose -109*n = -106*n - 9. Factor 5*g - g**2 - 1 + 10*g**n - 11*g**3 - 2.
-(g - 1)**2*(g + 3)
Suppose -1339 = 56*j + 174*j - 3179. Let m(w) be the first derivative of -32/3*w**3 + j - 42*w**2 - w**4 - 72*w. Solve m(t) = 0.
-3, -2
Find g such that -129*g + 70*g**5 - 1372*g**2 + 83*g - 856*g**3 + 180 - 128*g + 232*g**4 = 0.
-5, -1, -3/5, 2/7, 3
Suppose 12 = -3*o, o - 20 = -5*s + s. Let q be 100/165*(s - 3). Factor 2/11*x**2 + 50/11 - q*x.
2*(x - 5)**2/11
Let r = -422 + 425. Let z be (-3)/21 - 23/(-189)*r. Factor 1/9*s**2 + 0 - 2/9*s - 1/9*s**4 + z*s**3.
-s*(s - 2)*(s - 1)*(s + 1)/9
Let z(k) = -2*k**3 - 2*k**2 - k. Let x(d) = -1530*d**2 + d. Let u(p) = 2*x(p) + 2*z(p). Factor u(r).
-4*r**2*(r + 766)
Let s be 4/24 - ((-2215)/30)/1. Factor -2*q**2 - 3*q**2 - 2068 + 546*q - 17152 + s*q.
-5*(q - 62)**2
Let u(s) = -30*s**2 + 11709*s. Let q(y) = -7*y**2 + 2928*y. Let i(x) = -9*q(x) + 2*u(x). Factor i(n).
3*n*(n - 978)
Let y(k) be the first derivative of 0*k + 5/4*k**4 - 61 + 15/2*k**2 + 20/3*k**3. Determine s, given that y(s) = 0.
-3, -1, 0
Suppose -126*f + 119*f = -28. Factor 5*m - 17*m + 54*m**3 - 24*m**4 - 40*m**2 - f*m**5 - 102*m**3.
-4*m*(m + 1)**3*(m + 3)
Let x(j) be the first derivative of -20/3*j**3 + 0*j - j**4 - 46 - 12*j**2. Factor x(a).
-4*a*(a + 2)*(a + 3)
Let v(w) be the third derivative of w**5/30 - 5*w**4 - 124*w**3/3 - 34*w**2 + 5. Let v(m) = 0. What is m?
-2, 62
Let f be (156/18*93)/(-2). Let s = 405 + f. Let -1/2*x**3 + 1/2*x**s - 2 + 2*x = 0. Calculate x.
-2, 1, 2
Let c be (198/(-63) + 4)/((-1)/(-42)). Suppose -542*t + 7*t**2 - 51*t**2 + 16 + c*t**3 + 542*t - 8*t**4 = 0. Calculate t.
-1/2, 1, 2
Let o(g) = -g**2 - 43*g - 406. Let j(v) be the first derivative of -2*v**3/3 - 85*v**2/2 - 810*v - 46. Let b(l) = 3*j(l) - 5*o(l). Solve b(s) = 0.
-20
Let v = -35021/4 + 8756. Suppose -9/2*z + 0 + v*z**2 = 0. Calculate z.
0, 6
Let a(i) be the third derivative of -i**6/480 - 17*i**5/60 + i**4/96 + 17*i**3/6 + 6*i**2 + 415. Factor a(y).
-(y - 1)*(y + 1)*(y + 68)/4
Solve 1/5*j**3 - 136/5*j - 28 - 31/5*j**2 = 0 for j.
-2, 35
Let -100 - 16*y**2 + 120*y - 24/5*y**3 + 4/5*y**4 = 0. What is y?
-5, 1, 5
Let j(r) be the first derivative of -2*r**3/9 + 752*r**2/3 - 1000*r + 770. Factor j(i).
-2*(i - 750)*(i - 2)/3
Let v(o) be the second derivative of 2*o**6/75 - 7*o**5/25 - 13*o**4/5 - 106*o**3/15 - 44*o**2/5 - 2*o + 175. Suppose v(r) = 0. Calculate r.
-2, -1, 11
Let q be 100/150 + 102/9. Determine t so that -q - 3/4*t**3 - 27/4*t**2 - 18*t = 0.
-4, -1
Let j = 31 - 83. Let t = j + 68. Determine u, given that 3*u**3 + t*u**2 - 55*u**2 + 26*u**2 + 19*u**2 = 0.
-2, 0
Let o(q) = -7*q**4 + 20*q**3 + 52*q**2 - 2008*q + 5176. Let t(j) = j**4 + j**3 - j + 1. Let x(c) = 5*o(c) + 40*t(c). Factor x(w).
5*(w - 4)**2*(w + 18)**2
Let m be 7688/1240 + (-155)/25. Factor -1/4*g**4 - g**3 + m*g + 3*g**2 + 0.
-g**2*(g - 2)*(g + 6)/4
Determine v, given that 105*v - 588*v - 467*v - 40 - 366*v**2 + 131*v**2 = 0.
-4, -2/47
Let d(g) be the third derivative of -169*g**7/280 + 143*g**6/40 - 107*g**5/80 - 31*g**4/4 - 6*g**3 - 2*g**2 + 3480*g. Let d(b) = 0. What is b?
-4/13, 1, 3
Suppose 82*g = 199*g - 49*g - 272. Let 7/6*a**g - 11/6*a**3 + 1 + 11/6*a - 13/6*a**2 = 0. What is a?
-1, -3/7, 1, 2
Let s(l) be the third derivative of l**6/96 - l**5/48 - l**2 + 623*l. Factor s(b).
5*b**2*(b - 1)/4
Let o(r) = 26*r + 27. Let b be o(8). Let n(q) = -b*q + 140*q**2 + 80 + 25 - 240*q. Let w(d) = -35*d**2 + 119*d - 26. Let x(m) = -4*n(m) - 15*w(m). Factor x(a).
-5*(a - 3)*(7*a - 2)
Let t(d) be the second derivative of -d**6/120 + 19*d**5/80 - 9*d**4/4 + 15*d**3/2 - 1939*d. Factor t(z).
-z*(z - 10)*(z - 6)*(z - 3)/4
Let h = -114 - -116. Factor 2*w**2 - 3*w**h + 6*w - 45*w + w - 361.
-(w + 19)**2
Suppose 6*p - 5657 - 913 = 0. Determine u, given that 864*u**2 + 2048 - 106*u**3 - p*u - 2*u**3 - 1209*u = 0.
8/3
Let j(g) be the second derivative of -g**4/42 + 790*g**3/21 - 156025*g**2/7 + 1329*g. Determine t, given that j(t) = 0.
395
Determine d so that -1/2*d**4 + 47/2*d**3 - 47/2*d + 49/2*d**2 - 24 = 0.
-1, 1, 48
Let f = 43 + -37. Suppose 0 = -20*s + 17*s + f. Determine k so that 12/5 + 3/5*k**s + 24/5*k - 21/5*k**3 - 3/5*k**5 - 3*k**4 = 0.
-2, -1, 1
Let g