43)/129). Solve -19*j**2 + 2 + 20*j - 17*j**2 + g*j**2 - 26 = 0.
2, 3
Let h(c) be the third derivative of -c**7/840 - 133*c**6/240 - 11*c**5/10 + 133*c**4/48 + 265*c**3/24 + 1681*c**2. Suppose h(d) = 0. Calculate d.
-265, -1, 1
Factor 932085*l - 61 - 932223*l + 2*l**2 - 79.
2*(l - 70)*(l + 1)
Let c(g) be the first derivative of -2*g**3/3 - 2361*g**2 + 4724*g + 242. Factor c(n).
-2*(n - 1)*(n + 2362)
Let d be 14/(-98) - 58/(-14). Suppose 3 = -3*z, 0 = l + d*l - z - 126. Factor -33 - 51 + 104 - l*c**2 + 40*c.
-5*(c - 2)*(5*c + 2)
Factor 1/4*k**2 - 15/2 + 1/4*k.
(k - 5)*(k + 6)/4
Let t = -1380 + 1184. Let j be 2/(-7)*t/308. Find s such that 0 + 2/11*s**2 - j*s**3 + 0*s = 0.
0, 1
Factor 0 + 78/5*o**3 + 0*o + 4/5*o**2.
2*o**2*(39*o + 2)/5
Let y be 1/(624/210 + -3). Let w be 119/y - (-32)/8. Find u, given that 6/5*u**4 + 0 - w*u + 3/5*u**5 + 0*u**3 - 6/5*u**2 = 0.
-1, 0, 1
Let v(o) be the second derivative of o**5/20 + 11*o**4/12 + 2*o**3 + o**2 - 12*o + 9. Let x be v(-1). Factor x + 1/7*r + 2/7*r**2.
r*(2*r + 1)/7
Determine j so that -4*j**2 + 307*j + 935 + 70*j + 248 - 113*j + 861 = 0.
-7, 73
Factor -12/5*c - 3/5*c**2 + 96/5.
-3*(c - 4)*(c + 8)/5
Let a = -4222 - -8445/2. Let n(t) be the first derivative of -t**3 + 15 + 0*t + t**4 - a*t**2. Let n(w) = 0. Calculate w.
-1/4, 0, 1
Let j(w) be the second derivative of -5*w**7/14 + 959*w**6/6 - 319*w**5/2 - 1110*w + 1. Let j(s) = 0. What is s?
0, 2/3, 319
Let k(q) be the third derivative of q**7/105 + q**6/5 - 11*q**5/15 - 25*q**4 + 231*q**3 - 2*q**2 + 30*q + 5. Determine r, given that k(r) = 0.
-11, -7, 3
Let a(z) = 69*z**2 + 3096*z - 234. Let m(l) = 69*l**2 + 3095*l - 222. Let k(f) = -4*a(f) + 3*m(f). Factor k(p).
-3*(p + 45)*(23*p - 2)
Suppose -5*h + 20 = 0, 3*h - 6 = -19*y + 22*y. Factor -1/5*q**y - 6*q - 45.
-(q + 15)**2/5
Let t(v) be the first derivative of -v**5/5 + 29*v**4/4 - 65*v**3 - 225*v**2/2 + 5970. Factor t(c).
-c*(c - 15)**2*(c + 1)
Factor -x**2 + 884 - 149*x - 2294*x + 11*x**2 - 1979*x.
2*(x - 442)*(5*x - 1)
Let t(u) be the third derivative of -u**7/525 - 17*u**6/75 + 23*u**5/50 - 681*u**2. Find n, given that t(n) = 0.
-69, 0, 1
Let s be (-5*(-92)/(-1265))/(-3*1/22). Factor s - 10/3*c + 2/3*c**2.
2*(c - 4)*(c - 1)/3
Factor 217792/13*n - 2/13*n**4 - 56424/13*n**2 - 215168/13 + 664/13*n**3.
-2*(n - 164)**2*(n - 2)**2/13
Let w(v) = 12 - 9 - v**2 - 5*v - 4*v + 19. Let d be w(-11). Let 2/7*i**2 - 4/7*i**3 + d*i + 2/7*i**4 + 0 = 0. What is i?
0, 1
Let n = -459 + 461. Let y(m) be the first derivative of 4/3*m**4 - 2 - 8/5*m**5 + 32/27*m**3 + 0*m - n*m**6 + 0*m**2. Let y(k) = 0. What is k?
-2/3, 0, 2/3
Factor -3600*w + 79*w**5 + 83*w**5 - 166*w**5 - 266*w**4 + 34*w**4 + 6960*w**2 - 3124*w**3.
-4*w*(w - 1)**2*(w + 30)**2
Factor -8*m**2 - 470*m - 8*m**2 + 492 + 19*m**2 - 132*m - 92.
(m - 200)*(3*m - 2)
Let x be (((-875)/(-210))/(-5))/(15/(-9)). Let 0 - x*g**2 + 23/2*g = 0. What is g?
0, 23
Suppose -9*h + 130 + 122 = 0. What is x in -7*x**3 - 32*x - 2*x**3 + 5*x**3 + h*x**2 + 8*x**2 = 0?
0, 1, 8
Factor 0 + 32/7*y**3 - 174/7*y**2 - 2/21*y**4 - 16820/21*y.
-2*y*(y - 29)**2*(y + 10)/21
Let i(h) be the first derivative of 3*h**4/16 - 19*h**3/4 + 39*h**2 - 105*h + 1050. What is g in i(g) = 0?
2, 7, 10
Let z(o) be the third derivative of o**5/210 + 31*o**4/21 - 127*o**3/7 + o**2 + 390*o + 2. Find f such that z(f) = 0.
-127, 3
Let l be 12/30 - -12*6/45. Let o(c) be the first derivative of 2/15*c**5 - 8 + 0*c**l - 4/9*c**3 + 2/3*c + 0*c**4. Find n such that o(n) = 0.
-1, 1
Let m(k) be the first derivative of -3/4*k**2 + 0*k - 3/8*k**4 - 5/4*k**3 - 80. Factor m(b).
-3*b*(b + 2)*(2*b + 1)/4
Let q(y) be the second derivative of y**6/120 - 497*y**5/40 + 27473*y**4/4 - 18296687*y**3/12 + 36264691*y**2/8 + 145*y. Suppose q(p) = 0. Calculate p.
1, 331
Let x be -1*(-22)/4*(-498780)/(-60962). Factor 15*c**2 + 125/2*c + x - 5/2*c**3.
-5*(c - 9)*(c + 1)*(c + 2)/2
Let z = 106730 + -533648/5. Factor 16562/5 - 364/5*p + z*p**2.
2*(p - 91)**2/5
Suppose -60 = -3*k - t + 120, -3*k = 4*t - 189. Determine q so that -91*q**4 + 338*q**2 - k*q**4 + 178*q**4 + q**5 + 221*q**3 = 0.
-13, -2, 0
Factor 23048/5*m**4 - 187*m - 7396/5*m**5 - 24793/5*m**3 + 10051/5*m**2 + 5.
-(m - 1)**3*(86*m - 5)**2/5
Let 1/7*l**4 + 20/7*l**3 + 0 + 33/7*l**2 - 54/7*l = 0. Calculate l.
-18, -3, 0, 1
Let o(d) be the third derivative of 5/24*d**4 + 0 + 70*d**2 + 2*d + 0*d**5 - 1/32*d**6 + 0*d**3 - 1/168*d**7. Find c, given that o(c) = 0.
-2, 0, 1
Suppose 4 = 2*o + 6. Let g be (o - 4 - -9)/(0 - -1). What is n in 2*n**g - 5*n**5 + 3*n**2 - n**3 - 16*n + 4*n**5 - 27*n**2 + 4*n**4 = 0?
-1, 0, 4
Let g be ((-5)/15)/(5/(-30)). Suppose -a + 16 = a + g*w, 2*w - 22 = -4*a. Solve 7*h**2 + 20*h + 125*h**a - 4*h**4 - 24 - 145*h**3 + 21*h**2 = 0 for h.
-6, -1, 1
Determine b so that 740*b - 387*b**2 + 205*b**2 + 232*b**2 + 2738 = 0.
-37/5
Let w be (15 - 4123/420)/(6/(-5)). Let p = -31/8 - w. Factor 0*q - 8/9*q**2 + 0 - p*q**3.
-4*q**2*(q + 2)/9
Let k(q) be the second derivative of -q**4/60 + 7*q**3/6 + 57*q**2/5 + 113*q - 5. Let k(f) = 0. Calculate f.
-3, 38
Factor 2978710576/3 - 2/3*w**3 + 2284*w**2 - 2608328*w.
-2*(w - 1142)**3/3
Let t = 1200 + -8398/7. Let z(w) be the first derivative of 17 + 11/21*w**3 - t*w + 9/14*w**2. Factor z(h).
(h + 1)*(11*h - 2)/7
Suppose -21*x + 1322 = -358. Solve -5 + 20*h - 11 + 76*h**2 - x*h**2 = 0 for h.
1, 4
Let a(u) be the first derivative of 0*u + 1/36*u**5 - 1/3*u**3 + 13/72*u**4 - 13/2*u**2 + 28. Let m(w) be the second derivative of a(w). Factor m(b).
(b + 3)*(5*b - 2)/3
Let v(y) = 8*y**2 + 11*y + 5. Let d(x) = x**2 + x + 1. Let s be 0*(-4 - -3) + -11. Let m = s + 13. Let c(a) = m*d(a) - v(a). Factor c(p).
-3*(p + 1)*(2*p + 1)
Let l be (-3 + 10/4)*8/(-1). Suppose 2*j = -0*j + 4, 2*c + 3*j = 38. Determine v so that 36 + 3*v**2 + l*v + 19*v + c*v = 0.
-12, -1
Let x(f) be the second derivative of f**4/3 + 1478*f**3/3 + 838*f - 1. Factor x(l).
4*l*(l + 739)
Suppose -41 = 11*q + 25. Let i(g) = g**2 + 8*g + 15. Let o be i(q). Solve 3 + o - 14 + 3 - t**2 - 6*t = 0.
-5, -1
Let g(y) = -y + 15. Suppose -2*o = 3*r - 37, o + 64 = 5*o + 4*r. Let m be g(o). Factor -59*c**4 - 2 + m*c**2 - 4*c + 55*c**4 + 2 + 4*c**3.
-4*c*(c - 1)**2*(c + 1)
Factor 70*n**2 - 2/5*n**5 - 38*n**3 + 34/5*n**4 + 0*n + 0.
-2*n**2*(n - 7)*(n - 5)**2/5
Let m be 0 + 22/((-44)/4). Let b be 16/7 - m - (-276)/(-966). Factor 9/2*j**3 + 0*j**2 + 0 + 0*j - 3*j**5 - 69/4*j**b.
-3*j**3*(j + 6)*(4*j - 1)/4
Suppose 402/5*u + 408/5 - 6/5*u**2 = 0. What is u?
-1, 68
Let y(b) be the third derivative of b**7/70 + 11*b**6/4 - 171*b**5/5 + 173*b**4 - 464*b**3 + 979*b**2. Let y(d) = 0. Calculate d.
-116, 2
Let z = -1504 - -1515. Let q(j) be the third derivative of -1/120*j**4 + 0*j**3 + 0 + 1/600*j**6 + 1/1050*j**7 + 0*j - 1/300*j**5 - z*j**2. Factor q(x).
x*(x - 1)*(x + 1)**2/5
Let m be 21620/(-1449) + 16 + 8/(-36). Factor 3/7*r - m + 6/7*r**2 - 3/7*r**3.
-3*(r - 2)*(r - 1)*(r + 1)/7
Let u = 63 - 47. Suppose -u*s + 13*s = -9. Factor -3 - 16*a - 1 - 4*a**3 - s*a**2 + a**3 - 10*a**2.
-(a + 2)**2*(3*a + 1)
Let x be ((-6)/(-21) + 221/182)/((-6)/(-8)). Let i(b) be the first derivative of 1/5*b**3 + 2 - 3/5*b**x + 0*b. Find q such that i(q) = 0.
0, 2
Let x(g) be the third derivative of g**5/80 - 779*g**4/48 + 173*g**3/8 + 2823*g**2. Factor x(u).
(u - 519)*(3*u - 1)/4
Let n(t) be the third derivative of -4*t**2 + 9/16*t**4 + 0*t**3 - 1/448*t**8 + 3/80*t**5 + 0 - 1/40*t**7 - 13/160*t**6 + 10*t. Let n(g) = 0. Calculate g.
-3, -2, 0, 1
Let j(w) be the first derivative of -3*w**5/50 + 7*w**4/15 - 8*w**3/15 + 247*w - 147. Let v(i) be the first derivative of j(i). Suppose v(m) = 0. Calculate m.
0, 2/3, 4
Let i(w) = w + 24. Let o be i(-6). Find t such that 324 - 284*t**2 - 36*t**3 - o*t**4 - 65*t**5 + 205*t**3 + 67*t**5 + 63*t**3 - 234*t - 22*t**4 = 0.
-1, 1, 2, 9
Let k = -1270 + 1272. Let y = 853/5 + -170. Factor 9/5*p + 6/5 + y*p**k.
3*(p + 1)*(p + 2)/5
Let l(u) = -u**3 + 3*u. Suppose -3*p - p = m + 7, -p - m - 1 = 0. Let k be l(p). Solve -4/3*w + 0 - 2/3*w**k = 0.
-2, 0
Suppose 3756 - 3680 = 19*c. Let w(y) be the second derivative of 1/84*y**c + 0 + 24*y - 2/21*y**3 + 3/14*y**2. Factor w(t).
(t - 3)*(t - 1)/7
Let k(g) be the first derivative of -5/16*g**4 - 95 + 0*g + 0*g**3 + 5/8*g**2. Factor k