ctor -549*t**5 + 547*t**5 - 16*t**s + 6*t**4 - 14*t**2 - 18*t**3 - 4*t.
-2*t*(t + 1)**3*(t + 2)
Let f = 9486 - 9481. Let b(x) be the third derivative of 1/20*x**f + 0*x**4 - 2/3*x**3 + 27*x**2 + 0 - 1/120*x**6 + 0*x. Let b(y) = 0. What is y?
-1, 2
Find m, given that 136/5*m + 8 - 42/5*m**4 + 512/5*m**3 - 934/5*m**2 = 0.
-1/7, 1/3, 2, 10
Let m = -31490 - -31492. Let p(a) be the second derivative of -1/3*a**3 - 1/6*a**4 - 15*a + 0 + 6*a**m. Let p(x) = 0. What is x?
-3, 2
Let p be (1/(-15))/(942/(-785)). Let i(x) be the third derivative of 0*x**3 + p*x**4 + 1/180*x**5 + 0 + 0*x + 12*x**2. Let i(k) = 0. Calculate k.
-4, 0
Let t(b) = -b**3 - b**2 + 3*b - 6. Let w(y) = -4*y**3 - 1380*y**2 + 314664*y - 24018014. Let o(l) = 6*t(l) - w(l). Factor o(x).
-2*(x - 229)**3
Let z be 0 - (32 - ((-6)/(-6) - 5)). Let t be 11*2/(-10)*60/z. Factor 43/3*l**2 + 56/3*l**4 + 1/3 + t*l + 16/3*l**5 + 73/3*l**3.
(l + 1)**3*(4*l + 1)**2/3
Suppose 0 = -19*y + 77820 - 77820. Let r(t) be the third derivative of y + 0*t**4 + 0*t**5 + 0*t**3 - 34*t**2 + 0*t - 1/1050*t**7 + 1/600*t**6. Factor r(i).
-i**3*(i - 1)/5
Suppose 2/9*q**3 - 536/3*q - 44*q**2 - 1616/9 = 0. What is q?
-2, 202
Let k(y) = -3*y**2 + 73*y + 20. Let q be k(25). Let a be (5 - (-156)/q)*-2. Solve -6/5*l - a*l**3 - 6/5*l**2 - 2/5 = 0.
-1
Suppose 3*p = -0*q + 5*q + 40, 3*p + 64 = -8*q. Let b(c) be the first derivative of -35/3*c**3 - 5 + p*c**2 + 0*c + 5/4*c**4. Factor b(z).
5*z**2*(z - 7)
Let y = 261341 - 261341. Factor 3/8*j**2 + 27/4*j + y.
3*j*(j + 18)/8
Let g(n) be the first derivative of -3*n**4/16 - 19*n**3/2 - 303*n**2/8 + 105*n - 734. Factor g(m).
-3*(m - 1)*(m + 4)*(m + 35)/4
Let t = -749 + 166. Let g = 586 + t. Factor 4*h**g - 28/3*h**2 + 8/3*h + 0.
4*h*(h - 2)*(3*h - 1)/3
Let d(k) be the second derivative of -k**7/8820 - k**6/140 - 17*k**5/420 - 9*k**4/4 + k**3/6 - k - 5. Let u(s) be the third derivative of d(s). Factor u(b).
-2*(b + 1)*(b + 17)/7
Let j(f) be the second derivative of 2*f**6/15 - 24*f**5/5 + 28*f**4 - 160*f**3/3 - 2*f - 414. Factor j(q).
4*q*(q - 20)*(q - 2)**2
Suppose 771*n + 1952*n = -561*n - 2912 + 12764. Let 0 + 22/17*u + 6/17*u**n - 4*u**2 = 0. Calculate u.
0, 1/3, 11
Let x = 1/132564 + 198845/132564. Determine m so that 9/4*m**3 + 3/4*m**2 - x*m - 3/4*m**5 - 3/4*m**4 + 0 = 0.
-2, -1, 0, 1
Let c(k) = -6*k - 3. Let v be c(-5). Suppose -37 = -4*b - 5*w, -5*b - 3*w + 3 = -v. Find h, given that 12*h**2 + 5*h**3 + h**2 - b*h**2 - 15*h = 0.
-3, 0, 1
Let a(u) be the third derivative of -u**6/180 - 7*u**5/30 + 8*u**4/3 + 115*u**3/6 - 53*u**2. Let x(d) be the first derivative of a(d). Factor x(p).
-2*(p - 2)*(p + 16)
Suppose 96*o - 276 = 87*o - 60*o. Let r(y) be the second derivative of 3 + 0*y**2 + 2/21*y**o + 3/70*y**5 - y + 1/21*y**3. Suppose r(p) = 0. What is p?
-1, -1/3, 0
Let f(w) be the second derivative of -3*w**5/40 + 3*w**4/8 + 34*w**3 + 189*w**2 - 3630*w. Find h, given that f(h) = 0.
-9, -2, 14
Let a(u) be the third derivative of 0 - 98*u**2 - 18/5*u**3 - 7/8*u**4 + 0*u + 1/100*u**5. Determine x, given that a(x) = 0.
-1, 36
Let k(h) be the first derivative of 15*h**4/8 - 41*h**3 + 321*h**2/4 - 45*h + 3335. Factor k(a).
3*(a - 15)*(a - 1)*(5*a - 2)/2
Let r(x) = 86*x**4 + 153*x**3 + 90*x**2 + 2*x + 3. Let p(c) = -343*c**4 - 617*c**3 - 359*c**2 - 8*c - 11. Let a(o) = 3*p(o) + 11*r(o). Factor a(y).
-y*(y + 1)**2*(83*y + 2)
Let a(w) be the second derivative of 3*w**4/4 + 191*w**3/6 + 91*w**2 + 2*w + 359. Factor a(t).
(t + 1)*(9*t + 182)
Let j(v) = -120*v**3 + 770*v**2 + 44830*v. Let w(h) = -7*h**3 + 46*h**2 + 2637*h. Let b(i) = -2*j(i) + 35*w(i). Factor b(x).
-5*x*(x - 31)*(x + 17)
Let q(b) be the third derivative of b**6/840 + 3*b**5/280 - 5*b**4/7 - 11*b**3/6 - 271*b**2. Let g(d) be the first derivative of q(d). Factor g(c).
3*(c - 5)*(c + 8)/7
Let b(v) = -26*v + 187. Let p be b(6). Determine a so that 0*a - 5*a - p - 2*a**2 + 41 - 3*a**2 = 0.
-2, 1
Suppose -49 = -4*b - 9. Factor 2*u**2 - 2*u**2 + 19 - b - 3*u**2 + 6*u.
-3*(u - 3)*(u + 1)
Factor -142/7*x**3 + 0 - 40/7*x + 1424/7*x**2.
-2*x*(x - 10)*(71*x - 2)/7
Let t(v) = v**3 - 3*v**2 - v + 7. Let l be t(3). Factor 5*a**2 - 8*a**2 + 6*a**4 + 0*a**4 - a - 3*a**3 - 7*a**l.
-a*(a + 1)**3
Find o, given that 35 + 173/6*o**2 + 359/6*o + 25/6*o**3 + 1/6*o**4 = 0.
-15, -7, -2, -1
Let q(t) be the first derivative of -t**5/5 + 5*t**4/4 - 8*t**3/3 + 2*t**2 - 2319. Factor q(k).
-k*(k - 2)**2*(k - 1)
Let z be 45/(-63) - 4/((-2128)/779). What is r in 15/2 + z*r**2 - 33/4*r = 0?
1, 10
Let n(f) be the third derivative of -f**6/540 - f**5/27 + 211*f**4/108 + 220*f**3/27 + 2*f**2 - 227*f + 2. Determine j, given that n(j) = 0.
-20, -1, 11
Let x = -283467 + 283467. Factor 1/3*t**3 + x*t**2 + 0 + 0*t.
t**3/3
Let s(o) = 9*o**3 - 15*o**2 + 20*o + 12. Let k(n) = 10*n**3 - 13*n**2 + 20*n + 12. Suppose 0 = 8*i + 49 - 9. Let g(u) = i*s(u) + 4*k(u). Solve g(w) = 0.
-2/5, 2, 3
Factor -9*a**2 + 1223*a - 107*a**4 + 59*a**4 + 57*a**4 - 92*a**3 - 1131*a.
a*(a - 1)*(a + 1)*(9*a - 92)
Factor -126/19*t**3 + 1978/19*t - 332/19 - 2904/19*t**2.
-2*(3*t - 1)**2*(7*t + 166)/19
Let c(g) be the second derivative of -g**9/3024 + g**8/1344 - g**4/12 + 3*g - 3. Let p(y) be the third derivative of c(y). Determine k so that p(k) = 0.
0, 1
Factor -842/13*p + 0 - 2/13*p**2.
-2*p*(p + 421)/13
Let o = -484 - -487. Let 45*k**5 - 40*k**5 - k**4 + 3*k**3 + 11*k**4 + 2*k**o = 0. What is k?
-1, 0
Let t(v) be the third derivative of -v**7/210 - v**6/30 + 13*v**5/6 - 125*v**4/6 + 125*v**3/2 + v**2 + 484*v. Factor t(d).
-(d - 5)**2*(d - 1)*(d + 15)
Let x(i) be the first derivative of -29 - 4*i**2 + 52/3*i**3 + 2/3*i**6 + i**4 - 32*i - 4*i**5. Let x(b) = 0. Calculate b.
-1, 1, 2, 4
Let z(h) be the second derivative of -2*h**6/15 + 380*h**5 - 451250*h**4 + 857375000*h**3/3 - 101813281250*h**2 - 3920*h. Let z(k) = 0. Calculate k.
475
Let 1/3*q**2 - 37/3*q + 12 = 0. What is q?
1, 36
Factor 20*m**2 + 9*m - m**4 + 6*m**2 - 162 + m**2 - 5*m**3 + 20*m**2 - 8*m**2.
-(m - 3)**2*(m + 2)*(m + 9)
Determine b so that 29/3*b**3 - 88 + 1/3*b**4 + 158/3*b**2 + 76/3*b = 0.
-22, -6, -2, 1
Factor -3/2 - 1/6*o**2 + 5/3*o.
-(o - 9)*(o - 1)/6
Let n be -6 + 11/3*(-130)/(-78). Let f(j) be the second derivative of 0*j**5 + 0 - n*j**4 + 9*j + 1/45*j**6 + 1/3*j**2 + 0*j**3. Factor f(o).
2*(o - 1)**2*(o + 1)**2/3
Suppose 4*w + z = 2*w + 2, 0 = -2*z + 8. Let m be (-6 - (-78)/12)/(w/(-8)). Factor -11 - 3 + 4 + 12*r - m + 2*r**2.
2*(r - 1)*(r + 7)
Suppose -k - 3*u - 4 = 0, 0*u = -5*k - 3*u + 4. Factor -5*q**k - 1 + 15448*q + 16 - 15458*q.
-5*(q - 1)*(q + 3)
Let -50/7*v**4 + 0 - 6/7*v - 130/7*v**3 + 58/7*v**2 = 0. Calculate v.
-3, 0, 1/5
Let d(o) = 4*o**2 + 16*o - 556. Let t be d(10). Let a(k) be the first derivative of -1/28*k**t - 16/7*k - 4/7*k**2 + 1/3*k**3 - 23. Solve a(b) = 0.
-1, 4
Let w be 2 + (-17481)/36 - 2/12. Let c = w + 485. Factor 5/4 + 0*f - c*f**2.
-5*(f - 1)*(f + 1)/4
Suppose 23093/3*t**3 - 16224 - 95786/3*t**2 + 40352*t + 308/3*t**4 + 1/3*t**5 = 0. Calculate t.
-156, 1, 2
Let o(t) be the first derivative of 3/4*t**4 - 397953*t + 55 - 153*t**3 + 23409/2*t**2. Factor o(b).
3*(b - 51)**3
Let p(m) = 29*m**2 + 7666*m + 2933780. Let k(z) = 4*z**2 + z. Let r(a) = -6*k(a) + p(a). Suppose r(h) = 0. Calculate h.
-766
Let r be 4*3/24*18*(-38)/(-228). Solve 0 + 0*c**2 + r*c**3 - 3/2*c = 0 for c.
-1, 0, 1
Determine f, given that -52*f + 4/3*f**2 - 816 = 0.
-12, 51
Let b(j) = 5*j**2 - 36*j - 62. Let s be b(-17). Let p = s - 1993. Factor 5/4*f**3 + 25/4 - 25/4*f**p - 5/4*f.
5*(f - 5)*(f - 1)*(f + 1)/4
Let h(q) = 7*q**2 + 294*q - 3. Let z(o) = -31*o**2 - 1176*o + 13. Let r(g) = -26*h(g) - 6*z(g). Solve r(p) = 0.
0, 147
Let b be 0/(6/2) + 3. Suppose -2*g - 5*w + 16 = 0, 2*w = 5*g - 3*w - 40. Suppose -9*k + 16*k**2 + k - g*k - 4*k**b = 0. Calculate k.
0, 2
Let h(v) be the first derivative of -v**5/5 - 13*v**4/2 - 232*v**3/3 - 432*v**2 - 1152*v - 6264. Factor h(s).
-(s + 4)**2*(s + 6)*(s + 12)
Let d = 354 - 350. Let m be (1 - (11/2 - d))*-6. Factor 9/8*o**4 + 9/8*o - 3/8*o**5 - 3/4*o**2 - 3/8 - 3/4*o**m.
-3*(o - 1)**4*(o + 1)/8
Determine q, given that 30/11*q**5 + 628/11*q**3 + 174/11*q - 236/11*q**4 + 36/11 - 632/11*q**2 = 0.
-2/15, 1, 3
Find m such that 23*m**2 - 153*m + m**2 + 153*m + 44768*m**5 - 44728*m**5 + 28*