2. Solve r(j) = 0.
-2, -1
Let w = -136687 - -136691. Determine m so that 3*m - 3 + 3/4*m**w - 3*m**3 + 9/4*m**2 = 0.
-1, 1, 2
Let v = -1783 + 29805/17. Let a = 30 + v. Factor 2/17*t - 2/17*t**3 + 4/17*t**2 - a.
-2*(t - 2)*(t - 1)*(t + 1)/17
Find j, given that 2/13*j**2 + 0 + 396/13*j = 0.
-198, 0
Let g(k) = -27*k + 4403. Let j be g(162). Let s(h) be the second derivative of -1/15*h**3 + j*h + 0 - 1/90*h**4 + 0*h**2. Factor s(x).
-2*x*(x + 3)/15
Let w be (139 - 2)/(10/(-15)). Let m = w - -213. Factor -3/2 - 12*z**2 - 6*z**3 - m*z.
-3*(z + 1)*(2*z + 1)**2/2
Let i(d) be the first derivative of -d**4/4 - 176*d**3/15 + 29*d**2/2 + 36*d/5 - 2636. What is w in i(w) = 0?
-36, -1/5, 1
Let x(j) be the second derivative of j**8/30240 - j**7/252 + 22*j**6/135 - 121*j**5/135 - j**4/4 + 66*j. Let v(t) be the third derivative of x(t). Factor v(w).
2*(w - 22)**2*(w - 1)/9
Factor -4*c**2 + 16*c**3 + 84*c**3 + 95*c**4 - 6*c**2 + 83*c**3 - 175*c + 5*c**5 - 13*c**3 - 85.
5*(c - 1)*(c + 1)**3*(c + 17)
Let r be 1/2 - (-14)/4. Suppose -i - 464*v + 468*v - 1 = 0, 3*i - v - 63 = 0. Suppose -i*f + r*f + 13*f - 2*f**2 = 0. What is f?
-3, 0
Let s = 12 + -12. Let h = 190385 + -190383. Factor -4*g + 1/2*g**h + s.
g*(g - 8)/2
Let x(b) be the first derivative of b**3/24 - 29*b**2/8 - 15*b + 2840. Factor x(p).
(p - 60)*(p + 2)/8
Let n be (4/(-60))/((-479)/579590). Factor n - 44/3*c + 2/3*c**2.
2*(c - 11)**2/3
Suppose 142 + 749 = -2*w + 5*r, -3*r = 2*w + 931. Let u = -458 - w. Factor 0*n + u + 1/7*n**2.
n**2/7
Find f, given that 362*f**4 - 8*f**2 - f**3 + 5*f**3 - 358*f**4 = 0.
-2, 0, 1
Let a = 7615 - 7610. Let w(v) be the third derivative of 4/3*v**3 - 1/10*v**a - 1/6*v**4 - 20*v**2 + 0*v + 1/24*v**6 - 1/210*v**7 + 0. Let w(k) = 0. What is k?
-1, 2
Suppose 95*f = 382 + 93. Let o(x) be the third derivative of -1/390*x**f + 0*x**3 + 0*x - 1/26*x**4 - 7*x**2 + 0. Determine t, given that o(t) = 0.
-6, 0
Factor -200 + 8*g**2 + 24*g**3 - 393*g + 116*g**2 + 387*g - 282*g - 892*g.
4*(g - 5)*(g + 10)*(6*g + 1)
Factor 1248198/5*p + 2/5*p**3 - 1251362/5 + 3162/5*p**2.
2*(p - 1)*(p + 791)**2/5
Factor 2/7*t**4 - 60/7*t + 16/7*t**3 - 144/7 + 26/7*t**2.
2*(t - 2)*(t + 3)**2*(t + 4)/7
Find q such that -10/13*q**4 + 304/13*q**3 - 128/13 + 510/13*q**2 + 68/13*q = 0.
-1, 2/5, 32
Let a = 1329602 - 5318281/4. Factor 25/2*x + 0 + 5/4*x**3 + a*x**2.
x*(x + 25)*(5*x + 2)/4
Suppose 34*o - 501 = -433. Let k(h) be the first derivative of -15 + 0*h - 2/3*h**3 - 1/2*h**4 + 0*h**o. Factor k(w).
-2*w**2*(w + 1)
Let l be (-97991)/116 - (7 + 1). Let d = 858 + l. Factor -d*f + 3/8*f**2 + 147/8.
3*(f - 7)**2/8
Let t be 552/207*3/4. Let c be (-9 + 6 + t)*(0 - 0). Factor 0*a - 10/3*a**2 + c + 2/3*a**4 + 8/3*a**3.
2*a**2*(a - 1)*(a + 5)/3
Suppose i + h + 3*h = 19, 28 = 4*i + 4*h. Factor -2*w**i + 11*w**3 - 4*w**3 - 30*w + w**2 + 4*w**2.
5*w*(w - 2)*(w + 3)
Suppose 0 = 936*v - 797*v - 174 - 243. Factor 0 - 4/3*n + 2*n**2 + 4/3*n**v.
2*n*(n + 2)*(2*n - 1)/3
Suppose 226*s + 318*s = -9745 + 29329. Suppose -13/2*h**2 + 10 + 36*h**3 - s*h - 7/2*h**4 = 0. What is h?
-1, 2/7, 1, 10
Suppose 4*d = -1409 - 8447. Let m be 2/(-14) - d/784. Let 3/5*l**5 - 12/5*l**m + 0*l**4 - 6/5 + 6/5*l**2 + 9/5*l = 0. Calculate l.
-2, -1, 1
Let y = 2706887/15 - 180459. Factor 2/5*s + 2/15 + 2/5*s**2 + y*s**3.
2*(s + 1)**3/15
Let q(k) = -k**2 - 1269*k - 170744. Let t be q(-153). Factor -9/5*g + 1/5*g**t + 0 + g**3 + 3/5*g**2.
g*(g - 1)*(g + 3)**2/5
Factor 260*z**3 + 5*z**4 + 1690*z**2 + 299*z**3 + 2720*z - 384*z**3.
5*z*(z + 2)*(z + 16)*(z + 17)
Let u be (10 + -9)*(2 - 0). Factor -379 - 18*t - 26*t + 5*t**u + 14*t + 404.
5*(t - 5)*(t - 1)
Let i(f) be the first derivative of 3*f**5/5 - 39*f**4/4 - 115*f**3 + 39*f**2/2 + 342*f + 1301. Find t such that i(t) = 0.
-6, -1, 1, 19
Let b be (-419312)/(-8616) - 34/(-1). Find a such that -b*a - 7688/3 - 2/3*a**2 = 0.
-62
Let o(r) be the first derivative of 7*r**6/300 + 3*r**5/50 - r**4/5 - 4*r**3/15 + 72*r**2 - 135. Let q(n) be the second derivative of o(n). Solve q(h) = 0.
-2, -2/7, 1
Let p(c) be the first derivative of 3*c**4/20 - 13*c**3/3 + 157*c**2/10 - 19*c + 199. Let p(g) = 0. Calculate g.
1, 5/3, 19
Let h(q) = 5*q**2 - 6*q + 4. Suppose w + 6 = -4. Let o(j) = 4*j + 36. Let p be o(w). Let r(k) = -6*k**2 + 7*k - 5. Let d(b) = p*r(b) - 5*h(b). Factor d(n).
-n*(n - 2)
Suppose -411/5*c**2 - 42024/5*c - 1/5*c**3 + 42436/5 = 0. Calculate c.
-206, 1
Suppose 14*n - 29 = 27. Factor 5*s - n*s + 6*s - 15*s**2 - s - 3*s + 12.
-3*(s - 1)*(5*s + 4)
Let 715*j**2 + 0*j**5 - 165*j**4 + 81*j**3 - 501*j**3 - 7*j**5 + 27*j**5 - 150*j = 0. What is j?
-3, 0, 1/4, 1, 10
Factor -147/5*h - 3/5*h**2 + 468/5.
-3*(h - 3)*(h + 52)/5
Suppose -4*u + 102 = 3*l + 18, -16 = -4*l. Let j be 9/u - 15/(-6). Factor 8/17*b + 2/17*b**2 - 2/17*b**j - 8/17.
-2*(b - 2)*(b - 1)*(b + 2)/17
Let p = -924 - -1149. Suppose -236*j = -p*j. Find z, given that 2/9*z + j + 10/9*z**3 + 4/9*z**4 + 8/9*z**2 = 0.
-1, -1/2, 0
Let f be 2/(-72)*-12*108/(-30)*-1. Factor 8/5*t - f - 7/10*t**2 + 1/10*t**3.
(t - 3)*(t - 2)**2/10
Suppose -42 + 15 = -9*b. Suppose -9*a**5 + 30*a**b - 8*a + 277*a**4 - 2*a - 282*a**4 - a**5 - 5*a**2 = 0. What is a?
-2, -1/2, 0, 1
Let o be 3/14*238/16830. Let h(z) be the third derivative of -o*z**5 - 2*z**2 - 1/132*z**4 + 0*z + 0 + 2/33*z**3. Factor h(k).
-2*(k - 1)*(k + 2)/11
Factor -672*b**3 - 147*b**2 - 1446*b**4 + 1438*b**4 - 269*b**2 - 164*b**3.
-4*b**2*(b + 104)*(2*b + 1)
Let j be 151488/19725 + (2 - 20/5 - 1*4). Let -44/25*w + j + 2/25*w**2 = 0. What is w?
1, 21
Let p(f) be the third derivative of f**8/168 - 68*f**7/63 + 1131*f**6/20 - 15341*f**5/45 + 935*f**4/3 + 24200*f**3/9 + 7*f**2 - 25. Find d, given that p(d) = 0.
-2/3, 2, 55
Let j(h) be the first derivative of -2*h**5/25 - 31*h**4/10 + 68*h**3/15 + 64*h**2/5 + 1963. Solve j(l) = 0 for l.
-32, -1, 0, 2
Suppose -9*n + 4*n = r - 47, 27 = 3*n + r. Suppose -7 - 33 = -n*g. Find h such that -13/3*h**2 + 2*h**3 - 4/3 + g*h - 1/3*h**4 = 0.
1, 2
Let g = 16/51 + 277/255. Let d(v) be the first derivative of -2/15*v**3 + 16/5*v + 29 - g*v**2. Find j such that d(j) = 0.
-8, 1
Let t(s) = -5*s**2 - 73*s + 1896. Let d(o) = -5*o**2 - 90*o + 1895. Let i(w) = -4*d(w) + 5*t(w). Solve i(z) = 0.
-20, 19
Let m(j) be the second derivative of -141*j - 1/20*j**5 + 32*j**2 - 8*j**3 + j**4 + 0. Factor m(t).
-(t - 4)**3
Let o(b) be the second derivative of -b**7/14 - 11*b**6/30 + 49*b**5/20 + 13*b**4/4 - 3*b**3 - 635*b. Find t, given that o(t) = 0.
-6, -1, 0, 1/3, 3
Let b = 29618 + -59215/2. Let p = -75/2 + 43. Find u, given that p*u - b*u**2 + 17/2*u**3 - 1 - 5/2*u**4 = 0.
2/5, 1
Suppose 2*y - 10 = -2*r, r + 4*y = 9 - 1. Factor -w**2 + 4*w**2 + 6*w**2 - 2*w**3 + 2*w**5 + 4*w**2 + 4*w**r - 17*w**2.
2*w**2*(w - 1)*(w + 1)*(w + 2)
Let r be (-56)/(8/1) - (4 + 0). Let b be 18/(-12)*(176/84)/r. Let b - 3/7*q**2 + 5/7*q = 0. Calculate q.
-1/3, 2
Factor -1/4*t**2 + 887*t - 786769.
-(t - 1774)**2/4
Let u(t) be the third derivative of -1/12*t**5 + 5/2*t**3 + 0*t - 5/12*t**4 - 14*t**2 + 2. Suppose u(h) = 0. Calculate h.
-3, 1
Suppose 5*o = -4*t - 9, -2 = -t - 4*o - 18. Let -22*c**2 - 3 + 3 + 38*c**2 - 4*c**t = 0. What is c?
-2, 0, 2
Let d(y) be the third derivative of 2/3*y**4 + 13/15*y**5 - 7/60*y**6 + 4*y**2 + 0 + 0*y**3 - 4*y. Find r, given that d(r) = 0.
-2/7, 0, 4
Let r(j) = -3*j**2 + 109*j + 76. Let m be r(37). Determine u so that -3399 - 23*u**2 - 48*u**3 + 191*u**m + 3483 - 208*u + 4*u**4 = 0.
1, 3, 7
Let f(a) be the first derivative of -2*a**3/9 + 116*a**2/3 - 230*a/3 - 572. Let f(p) = 0. Calculate p.
1, 115
Solve -110/9*p**3 + 232/9*p + 4/9*p**5 + 32/3 + 2/3*p**4 + 8/3*p**2 = 0.
-6, -1, -1/2, 2, 4
Let v(o) be the third derivative of -1/8*o**4 - 1/420*o**7 + 40*o**2 + 0*o + 0*o**6 + 0*o**3 + 2 + 7/120*o**5. Determine u so that v(u) = 0.
-3, 0, 1, 2
Let a(h) be the third derivative of h**7/315 + 11*h**6/90 + 59*h**5/90 + 19*h**4/18 + 3*h**2 - 220*h. Factor a(x).
2*x*(x + 1)*(x + 2)*(x + 19)/3
Let w = 155 + -283. Let o = w + 130. Factor 2*g**3 + 2 - 10 - 4*g**o + 7*g**2 + 3*g**2.
2*(g - 1)*(g + 2)**2
Let g(h) = 3035*h - 78910. Let v be g(26). Factor v - 10*s + 6*s**2 + 2/5*s**4 + 18/5*s**3.
2*s*(s - 1)*(s + 5)**2/5
Let x(o) be the second derivative of 13*o + 0 - 1/315*o**6 + 4096/21*o**2 - 3328/63*