 = x. Factor -10*g**3 + 5*g**3 + w*g + 2*g**3.
-3*g*(g - 1)*(g + 1)
Let k(o) = -328*o**2 + 100*o + 15298. Let m(a) = -29*a**2 + 9*a + 1391. Let w(z) = 6*k(z) - 68*m(z). Factor w(c).
4*(c - 28)*(c + 25)
Determine c so that 66/7*c + 4 + 6/7*c**3 + 46/7*c**2 - 2/7*c**4 = 0.
-2, -1, 7
Let s(u) = -896*u - 15230. Let q be s(-17). Factor -10/7 + 4/7*y**q - 18/7*y.
2*(y - 5)*(2*y + 1)/7
Let t(z) be the second derivative of 3*z**5/20 + 6*z**4 + 42*z**3 - 1176*z**2 - 668*z + 3. Factor t(p).
3*(p - 4)*(p + 14)**2
Let 3116*u - 768*u**2 + 337*u**2 + 3120 + 427*u**2 = 0. What is u?
-1, 780
Let n(c) be the first derivative of -8/3*c + 2/9*c**2 + 0*c**4 + 40/27*c**3 + 115 - 16/45*c**5 - 2/27*c**6. Solve n(w) = 0.
-3, -2, -1, 1
Let r = 270 + -294. Let y be 3/r + (-78)/(-208). Suppose 0 - 1/4*i - y*i**2 = 0. What is i?
-1, 0
Let h(k) be the first derivative of 135*k**4/8 - 8*k**3 + k**2 + 7051. Factor h(r).
r*(9*r - 2)*(15*r - 2)/2
Factor 278/5*x**2 + 0 + 56*x - 2/5*x**3.
-2*x*(x - 140)*(x + 1)/5
Let y(f) = -7*f**4 - 22*f**3 - 25*f**2 + 192*f + 288. Let v(l) = -41*l**4 - 132*l**3 - 148*l**2 + 1150*l + 1722. Let r(i) = -6*v(i) + 35*y(i). Factor r(s).
(s - 3)*(s + 2)**2*(s + 21)
Let k(n) = 210*n - 2717. Let v be k(13). Let d(l) be the second derivative of 0 + 1/120*l**4 - 1/5*l**2 + 0*l**3 - v*l. Factor d(b).
(b - 2)*(b + 2)/10
Let v = 1771 - 1008. Let b = v + -5323/7. Factor 27/7*o + 0 + 3/7*o**3 + b*o**2.
3*o*(o + 3)**2/7
Let f = -940 - -3404. Let y be 4/14 + (-4)/(f/(-517)). Suppose 0*w - y*w**2 + 0 - 3/8*w**3 = 0. Calculate w.
-3, 0
Suppose 0*p - 5*w = p + 23, -3*w = 2*p + 32. Let b = 24 + p. Let -18*l**4 + b*l**4 - l**5 + l**3 + 8*l**4 - l**2 = 0. What is l?
-1, 0, 1
Factor -63*q + 171125 - 977*q**2 + 982*q**2 + 1913*q.
5*(q + 185)**2
Let g be (-345)/9 - (-17)/((-459)/(-36)). Let x be ((-42883)/494)/g + (-4)/(-26). What is n in -25/6 - 7/3*n**3 - 3/2*n**4 + x*n + 17/3*n**2 - 1/6*n**5 = 0?
-5, -1, 1
Let l be -3 + 5 + 132/4. Let c be (-2 + 0)*(-1)/(42/l). Factor 4/3*m + 1/3*m**3 + 0 + c*m**2.
m*(m + 1)*(m + 4)/3
Factor -4*a**2 - a**4 - 16*a + 2*a**4 + 0*a**3 + 0*a**3 + 2*a**3 + 8*a.
a*(a - 2)*(a + 2)**2
Let s(a) be the first derivative of a**4/2 + 2*a**3 - 4*a**2 + 446. Factor s(t).
2*t*(t - 1)*(t + 4)
Let g(a) be the first derivative of a**4/3 - 4*a**3 + 18*a**2 - 33*a - 94. Let w(u) be the first derivative of g(u). Factor w(f).
4*(f - 3)**2
Let i(r) = -7*r**2 + 1032*r - 437. Let k be i(147). Let 0 + 0*q**3 + q**2 + 2/3*q - 1/3*q**k = 0. What is q?
-1, 0, 2
Let d(y) = 9*y - 47. Let z be d(7). Suppose -43*g + 12 = -39*g - m, -5*m = 2*g + z. Solve -8/13*t**4 + 4/13 - 18/13*t + 18/13*t**3 + 4/13*t**g = 0 for t.
-1, 1/4, 1, 2
Suppose 2*s - 26 = -2*l + 66, -4*s = l - 37. Suppose -l = -5*y + 46. Factor -15*d**3 + 8*d**2 - 9*d - 7*d**2 + y*d - 26*d**2.
-5*d*(d + 2)*(3*d - 1)
Suppose 3*k - 43313 = 31864. Suppose -4 + k*v**2 + 14*v + 6*v - 25083*v**2 + 8*v = 0. What is v?
1/6, 1
Let g be 330/120 + (-3)/4. Let c be (0 - 1)*(2 + -2). Factor -1414*p**3 + c*p**g - 3*p + 2 + 0*p**2 + 1415*p**3.
(p - 1)**2*(p + 2)
Let j be -12*4/10*115/736*-8. Let q be 17/(-51)*(15/4)/(-5). Factor 36 + q*f**2 + j*f.
(f + 12)**2/4
Let n = 1447/29220 + -16/487. Let y(v) be the third derivative of 0 + 0*v**5 + 0*v**3 + 0*v + n*v**6 + 1/336*v**8 + 1/70*v**7 + 0*v**4 + 18*v**2. Factor y(i).
i**3*(i + 1)*(i + 2)
Let f(l) be the second derivative of l**9/7560 + l**8/336 + l**7/140 - l**4/4 + 11*l**2 + l + 39. Let g(t) be the third derivative of f(t). Factor g(h).
2*h**2*(h + 1)*(h + 9)
Suppose -21*k - 3 = -23*k - 3*n, 0 = 5*k - 2*n - 17. Solve 32*g**2 + 4*g**5 + 1253*g - 40*g**4 + 134*g**3 - 1765*g + 127 - 22*g**k + 385 = 0 for g.
-2, 2, 4
Let d(j) be the second derivative of j**5/90 + 31*j**4/18 + 961*j**3/9 + 81*j**2/2 + 170*j + 1. Let h(z) be the first derivative of d(z). Factor h(i).
2*(i + 31)**2/3
Let m(v) be the first derivative of -2*v**3/7 - 2581*v**2/21 + 164*v/3 + 4950. Solve m(h) = 0.
-287, 2/9
Let f(n) be the second derivative of n**5/510 - 35*n**4/102 + 1225*n**3/51 - 65*n**2 + 40*n. Let z(j) be the first derivative of f(j). Factor z(r).
2*(r - 35)**2/17
Suppose 2*g - 28 = -52*o + 48*o, 3*g - 4*o = -18. Let p(w) be the second derivative of 2/3*w**g + 42*w + 0 - 1/18*w**3 - 1/24*w**4. What is m in p(m) = 0?
-2, 4/3
Let b(c) be the first derivative of c**3/9 - 5*c**2/2 + 26*c/3 - 2067. Solve b(v) = 0 for v.
2, 13
Let w(s) be the second derivative of s**6/180 + s**5/20 - s**4/3 + 5*s**3/6 - 2*s - 16. Let j(u) be the second derivative of w(u). Let j(m) = 0. What is m?
-4, 1
Let d(o) = 48*o - 144. Let w be d(3). Let l be (411 - 411)*(w + (-2)/(-4)). Factor -2/3*i**2 + l - 2/9*i.
-2*i*(3*i + 1)/9
Let j(i) be the first derivative of -18*i**5/25 - 51*i**4/10 + 4*i**3/5 + 204*i**2/5 + 48*i + 6552. Solve j(u) = 0.
-5, -2, -2/3, 2
Let h(y) be the third derivative of y**5/12 + 575*y**4/12 + 1617*y**2. What is o in h(o) = 0?
-230, 0
Let q = 24187/18156 - -7/6052. Suppose -4/3 + 8*m + 7*m**3 - q*m**4 - 37/3*m**2 = 0. What is m?
1/4, 1, 2
Let f(i) be the first derivative of -10/7*i**2 + 55 + 62/21*i - 2/63*i**3. Determine m so that f(m) = 0.
-31, 1
Let h be (-2 - (0 + -3))/1. Let x be h/13 - (-6824)/520. Factor 2/5*l**5 - 18/5*l**4 - 18/5 + 12*l**3 - 92/5*l**2 + x*l.
2*(l - 3)**2*(l - 1)**3/5
Let k(l) be the second derivative of l**6/135 + 41*l**5/90 - 65*l**4/27 + 88*l**3/27 + 77*l. Solve k(t) = 0 for t.
-44, 0, 1, 2
Factor 4*g + 657*g**4 - 8*g**3 + 47*g**5 - 43*g**5 - 657*g**4.
4*g*(g - 1)**2*(g + 1)**2
Suppose 73*z - 116 = 53 - 23. Solve 12/7 - 2/7*p**z + 10/7*p = 0.
-1, 6
Suppose -5*v - 14 = -3*n + 59, 76 = 3*n - 2*v. Let b = n + -22. Factor b*p**4 + 27*p**5 - 35*p**4 + 39*p**3 - 6*p**2 - 29*p**4.
3*p**2*(p - 1)**2*(9*p - 2)
Let t(f) be the third derivative of 0 - 1/2*f**4 + 15/4*f**3 + 1/40*f**5 + 85*f**2 + 0*f. Determine r, given that t(r) = 0.
3, 5
Let i(j) be the second derivative of -20/3*j**3 - 13/12*j**4 + 5*j - 1/20*j**5 + 1 - 18*j**2. Suppose i(n) = 0. What is n?
-9, -2
Let k be (-3 + 6)/(6/4). Let g be (140/12 - 6 - -8) + -11. Factor 2/3 - g*f**2 - k*f.
-2*(f + 1)*(4*f - 1)/3
Let q(p) be the second derivative of p**5/100 - 13*p**4/30 - 12*p**3 + 5415*p. Determine d, given that q(d) = 0.
-10, 0, 36
Suppose -54*i - 32*i = -73*i + 25*i. Factor i*r + 0*r**2 + 0 + 2/15*r**5 + 0*r**3 - 4/15*r**4.
2*r**4*(r - 2)/15
Let s(h) be the third derivative of h**8/112 - 4*h**7/35 + 11*h**6/20 - 6*h**5/5 + 9*h**4/8 + 661*h**2. Let s(r) = 0. What is r?
0, 1, 3
Let o be ((-3)/18 + (-33)/(-36))/(999/444). Let w(h) be the second derivative of -o*h**3 + 1/80*h**5 - 1/48*h**4 - 37 + 2*h + 3/2*h**2. Factor w(k).
(k - 2)**2*(k + 3)/4
Let w be -24*((-370)/195 - -2) - 1. Let n = -147/65 - w. Find f such that 0 + n*f**3 + 0*f**2 - 3/5*f**4 + 0*f - 3/5*f**5 = 0.
-2, 0, 1
Suppose 3*c + 2*r - 12 = 0, c + 5*r - 23 + 6 = 0. Determine g, given that 67 - 3*g**2 - 12*g - 46 - 39 + g**c = 0.
-3
Determine t so that 159*t + 575*t + 234*t**2 - 243*t**2 - 306 + 109*t + 78*t = 0.
1/3, 102
Factor -117*u - 449*u + 2140*u**2 - 4250 + 62*u**4 - 884*u + 2*u**5 - 596*u**3 - 4*u**5.
-2*(u - 17)*(u - 5)**3*(u + 1)
Determine i, given that -142685/2*i**3 - 125/2*i**5 - 89779*i**2 - 4900 - 36470*i + 4300*i**4 = 0.
-2/5, 35
Suppose -5*g + 2*i + 104 = i, 0 = -4*g + 3*i + 92. Let d be 4/g + (-27)/(-15). Factor -49*q**2 - 2*q**3 + 57*q**2 - d*q**3.
-4*q**2*(q - 2)
Factor 9*v**3 - 3/4*v**4 - 117/4*v**2 + 0 + 21*v.
-3*v*(v - 7)*(v - 4)*(v - 1)/4
Let s(m) = 900*m + 114000. Let i(u) = u**2 + 122*u + 1. Let r(c) = -5*i(c) - s(c). Let r(t) = 0. Calculate t.
-151
Determine d, given that 352/7 + 4/7*d**3 + 68/7*d**2 + 296/7*d = 0.
-11, -4, -2
Let o be (-4)/7 + 312/(-91). Let t(w) = -w**2. Let x(n) = 15*n**3 - 23*n**2 + n + 3. Let b(y) = o*t(y) + x(y). Let b(u) = 0. Calculate u.
-1/3, 3/5, 1
Factor -10*l + 46*l - 59 + 128*l - l**2 + 391.
-(l - 166)*(l + 2)
Suppose -4*d = 4*d. Suppose 2*w - 3*w = -3*k + 1, 2*k - 3*w + 11 = d. Find q, given that -25*q - 11*q + 7*q - 6*q - 5*q**k = 0.
-7, 0
Let a be 3/((-150)/(-170)) + (-78)/(-130). Factor -2/17*m**2 + 2/17*m + 0 + 2/17*m**a - 2/17*m**3.
2*m*(m - 1)**2*(m + 1)/17
Let v be 0 + 90/23 - (160/230)/(-8). Let c(u) be the second derivative of 0*u**2 + 0 + 9*u - 2/15*u**6 + 2/3*u**3 + 1/3*u**v - 1/5*u**5.