*f**2/2 + 36*f - 5846. Solve g(n) = 0 for n.
-9, -4, 2/15, 1
Let d(s) = 3*s**2 - 2*s + 1. Let t = 335 - 336. Let y be d(t). Suppose -3*b - y - 3/8*b**2 = 0. Calculate b.
-4
Let s(g) = -6*g**2 - 21*g + 61. Let c be s(3). Let o be (c/5)/(-4)*(-28)/(-98). Factor -o*y**4 - 48/5*y - 64/5*y**2 - 28/5*y**3 + 0.
-4*y*(y + 2)**2*(y + 3)/5
Let l(x) = x**3 - x + 1. Let f = 2 - -3. Suppose -29 + 34 = f*p. Let b(z) = 7*z**3 - 14*z**2 - 5*z + 5. Let g(i) = p*b(i) - 5*l(i). Factor g(k).
2*k**2*(k - 7)
Factor -127/5*d**2 - 126/5*d + 0 - 1/5*d**3.
-d*(d + 1)*(d + 126)/5
Let c(m) be the second derivative of -m**5/35 + 11*m**4/42 + m**3/3 - 6*m**2/7 + 10454*m. Factor c(w).
-2*(w - 6)*(w + 1)*(2*w - 1)/7
Let x(l) be the second derivative of -l**4/78 + 6724*l**3/39 - 11303044*l**2/13 - 5*l + 305. Factor x(s).
-2*(s - 3362)**2/13
Suppose -5*s + 6 = -4*m, -2*s - 4*m + 96 = 88. Suppose -504 - 2/7*v**s - 24*v = 0. Calculate v.
-42
Suppose 1207 = -7*h + 164. Let c = h + 154. Factor 0 + 4/9*w**2 + 2/9*w - 4/9*w**4 - 2/9*w**c + 0*w**3.
-2*w*(w - 1)*(w + 1)**3/9
Let w(y) = 11*y - 128. Let n be w(21). Factor n + u**2 - 79 + 44*u + 3*u**2 - 16*u.
4*(u + 1)*(u + 6)
Factor 6936/13*r + 2/13*r**3 - 78608/13 - 204/13*r**2.
2*(r - 34)**3/13
Let r be 1/6*(2291/58 - 32). Let r*t + 15/4 - 15/4*t**2 - 5/4*t**3 = 0. What is t?
-3, -1, 1
Let y = -46 - -70. What is j in -36*j**3 - y*j - 15*j**3 + 9*j**4 - 24*j**2 + 60*j = 0?
-1, 0, 2/3, 6
Let g(u) = -27*u**3 + 25*u**2 + 99*u + 51. Let z(x) = -300*x**3 + 275*x**2 + 1090*x + 560. Let p(t) = -45*g(t) + 4*z(t). Solve p(r) = 0.
-1, 11/3
Let v(w) be the third derivative of 1/84*w**4 + 0 + 1/2520*w**6 + 0*w + 1/280*w**5 - 10*w**2 - 4/3*w**3. Let l(c) be the first derivative of v(c). Factor l(f).
(f + 1)*(f + 2)/7
Let p(i) = 4*i**4 + 5*i**3 + 32*i**2 + 40*i + 57. Let y(c) = 2*c**4 + 4*c**3 + 32*c**2 + 40*c + 38. Let d(h) = -2*p(h) + 3*y(h). Suppose d(z) = 0. What is z?
-2, 0, 5
Let t(l) = 196*l - 585. Let x be t(3). Let h(u) be the first derivative of 5*u**2 + 0*u + 12 - 5/3*u**x - 5/4*u**4. Factor h(j).
-5*j*(j - 1)*(j + 2)
Solve -2/7*x**2 - 1704/7*x - 362952/7 = 0.
-426
Let o(g) be the third derivative of g**5/15 + 10*g**4 + 1222*g**3/3 - 3*g**2 + 49*g - 4. Suppose o(i) = 0. What is i?
-47, -13
Solve -3276*f - 132*f**3 - 1260*f**3 - 676 - 1108*f**3 + 1104*f**2 - 6204*f**2 = 0 for f.
-1, -13/25
Factor 4*v**2 - 1344 - 733 - 707 - 184*v.
4*(v - 58)*(v + 12)
Let u(g) be the third derivative of -g**5/60 + g**3/3 + 3*g**2 + 10*g. Let o(w) = 7*w**2 - 364*w + 16552. Let p(t) = o(t) + 5*u(t). Solve p(h) = 0.
91
Let b(p) be the second derivative of 1/3*p**6 + 0 - 5/42*p**7 - 5/3*p**4 + 3/4*p**5 - 10/3*p**3 + 0*p**2 + 58*p. Determine a, given that b(a) = 0.
-1, 0, 2
Let c(t) = -1. Let w(j) = j - 15. Let a be w(19). Let z be a + -4 + (-5)/(-5). Let i(p) = -3*p**2 - 6*p + 24. Let g(k) = z*i(k) + 15*c(k). Solve g(o) = 0 for o.
-3, 1
Let a(o) be the third derivative of o**7/126 + 19*o**6/180 + 7*o**5/60 - 5*o**4/2 - 6*o**3 + 2*o**2 - 6*o - 156. Let a(k) = 0. What is k?
-6, -3, -3/5, 2
Let p = 1991 - 1998. Let k be (-170)/70 - p*(-1)/(-1). Factor 0*s - 4/7*s**4 - k*s**3 + 0 - 64/7*s**2.
-4*s**2*(s + 4)**2/7
Factor 12 - 10*p - 3*p**4 - 22*p**3 - 37*p**2 + 5 - 32 + 15.
-p*(p + 2)*(p + 5)*(3*p + 1)
Let x(j) = j**2 + 4*j - 5. Let d(u) = 25*u**2 - 195*u + 3130. Let b(i) = -d(i) + 20*x(i). Factor b(w).
-5*(w - 38)*(w - 17)
Let x = -731 - -836. Solve -61*j**3 - 4*j**4 + x*j**3 - 19*j**2 - 13*j**2 - 16*j - 64*j**3 = 0.
-2, -1, 0
Let u be -1 + ((-51)/15 - (-10)/25)*-1. Let d(x) be the first derivative of 17 + 2/9*x - 1/6*x**u + 1/27*x**3. Find t such that d(t) = 0.
1, 2
Let s = 157 - 128. Factor 129 - 11*i**3 + 24*i - 133 + 20*i**3 - s*i**2.
(i - 2)*(i - 1)*(9*i - 2)
Suppose -3*l + 5*n + 3 = 0, -l = -5*n - 4 + 3. Let q be 86*l*(0 + 1). Factor -111*t**2 + t**3 - 20 + 40*t + q*t**2 + 4*t**3.
5*(t - 2)**2*(t - 1)
Let g(f) be the first derivative of -81 - 4/3*f**3 + 4*f + 1/5*f**2 - 1/10*f**4. Solve g(u) = 0.
-10, -1, 1
Let c(g) be the first derivative of 2*g**3/21 - 50*g**2/7 + 282*g/7 + 700. Solve c(o) = 0 for o.
3, 47
Let s(w) = 11*w**3 - 50*w**2 + 37*w + 38. Let m(a) = -9*a**3 + 43*a**2 - 37*a - 39. Let t(c) = 6*m(c) + 5*s(c). Find z, given that t(z) = 0.
-11, -1, 4
Let s(u) be the second derivative of -2*u**6/15 - 2453*u**5/5 - 668306*u**4 - 1090672120*u**3/3 + 1094686864*u**2 - 451*u. Factor s(h).
-4*(h - 1)*(h + 818)**3
Let w be 260/(-718575)*-420 + (-4)/(-134). Factor 1058/11 + w*u**2 + 92/11*u.
2*(u + 23)**2/11
Let m(z) be the first derivative of -5*z**4 - 385*z**3/3 + 305*z**2/2 + 100*z - 1543. Factor m(w).
-5*(w - 1)*(w + 20)*(4*w + 1)
Let k(r) be the first derivative of -r**5/5 + 19*r**4 - 583*r**3 + 5445*r**2 + 788. Factor k(h).
-h*(h - 33)**2*(h - 10)
Let n be -14*((-744)/(-252))/(-31). Let y = -43/3 + 15. Find p, given that -n*p**3 + 4/3*p + 0*p**2 + 2/3*p**4 - y = 0.
-1, 1
Let y(c) be the third derivative of -25*c**8/336 + c**7/6 + c**6/3 - c**5/3 - 10*c**2 + c - 12. Find i, given that y(i) = 0.
-1, 0, 2/5, 2
Let j(m) be the first derivative of m**3/12 - 26*m**2 + 103*m - 214. Solve j(q) = 0.
2, 206
Let g(u) be the third derivative of -u**5/120 + 299*u**4/24 - 199*u**3/4 - u**2 + 2433*u. Solve g(d) = 0.
1, 597
Let r(l) = -17*l**2 + 134 + 44 - 176*l - 73 + 4*l**2. Let b(v) = 14*v**2 + 172*v - 106. Let n(p) = 5*b(p) + 6*r(p). Solve n(z) = 0.
-25, 1/2
Let z(v) = 5*v**3 + 288*v**2 + 298*v - 18. Let k(h) = -7*h**3 - 576*h**2 - 594*h + 30. Let u(p) = -3*k(p) - 5*z(p). Factor u(o).
-4*o*(o - 73)*(o + 1)
Let p be ((-265)/(-20) - 14/56) + -8. Let v(b) be the first derivative of p*b**3 + 0*b + 1 + 5*b**4 - 5/2*b**2. Suppose v(g) = 0. Calculate g.
-1, 0, 1/4
Let q(z) be the second derivative of -4 + z + 20/27*z**3 + 0*z**2 + 1/27*z**4. Let q(i) = 0. What is i?
-10, 0
Let t = 253874/55 + -50766/11. Suppose -t*p + 14/15 - 2/15*p**2 = 0. Calculate p.
-7, 1
Let j(k) be the third derivative of 11*k**7/70 - 71*k**6/10 - 13*k**5/5 - 2*k**2 + 746*k. Find q, given that j(q) = 0.
-2/11, 0, 26
Let g(y) be the second derivative of -y**4/102 - 668*y**3/51 - 111556*y**2/17 + 968*y. Suppose g(h) = 0. Calculate h.
-334
Let k(z) be the third derivative of 0 + 0*z - 11/105*z**5 + 65*z**2 + 1/840*z**6 - 80/21*z**3 + 41/42*z**4. Determine d so that k(d) = 0.
2, 40
Let x(q) be the second derivative of -q**5/70 + 13*q**4/7 - 1599*q. Solve x(u) = 0.
0, 78
Suppose 205 = -18*x + 241. Suppose 4*b + 2*h = 10, -3*b + h + 6 = -9. Suppose -2*v**4 + v**x + 6*v**4 - 5*v**4 + b*v - 4*v**3 = 0. What is v?
-4, -1, 0, 1
Let f(h) = 35*h**4 - 429*h**3 - 883*h**2 - 443*h. Let s(r) = 13*r**4 - 143*r**3 - 295*r**2 - 148*r. Let z(c) = 3*f(c) - 8*s(c). Solve z(d) = 0.
-1, 0, 145
Solve -32/5 - 454/15*c**2 + 532/15*c + 6/5*c**3 = 0.
2/9, 1, 24
Let l(u) = -106*u**3 + 668*u**2 - 19488*u + 18826. Let g(h) = -32*h**3 + 223*h**2 - 6496*h + 6275. Let w(s) = -10*g(s) + 3*l(s). Determine q so that w(q) = 0.
1, 56
Let j(o) be the first derivative of -5*o**3/3 + 7935*o**2/2 + 7940*o + 3409. Solve j(p) = 0.
-1, 1588
Factor -2107*y**3 - 686 - 69*y**4 - 29202*y - 18417*y**2 - 13967*y - 520*y**3 - 26*y**4 - 30*y**4.
-(y + 7)**3*(125*y + 2)
Suppose -6433 = -u - 6407. Suppose -30 = -2*b - u. Let 1/11*m**4 + 2/11*m**3 + 0*m - 3/11*m**b + 0 = 0. What is m?
-3, 0, 1
Let v(j) be the first derivative of 6*j**6 + 2252*j**5 + 218371*j**4 - 368212*j**3 - 786256*j**2 + 394384*j + 3503. Let v(o) = 0. Calculate o.
-157, -1, 2/9, 2
Let v(q) be the third derivative of 0 - 7/2*q**4 + 1/280*q**7 + 33/80*q**5 + 7/80*q**6 + 4*q + 19*q**2 + 8*q**3. Find r such that v(r) = 0.
-8, 1
Let t be (-23)/1449*21*-6. Find r such that -115/4 - 5/4*r**t - 30*r = 0.
-23, -1
Let k(f) be the second derivative of 7*f**4/6 + 821*f**3/3 + 234*f**2 + f - 226. Factor k(d).
2*(d + 117)*(7*d + 2)
Let r be ((-45684)/76 - -2) + -23 + 19. Let s = -603 - r. Factor 10/19*c + s*c**3 - 8/19*c**2 - 4/19.
2*(c - 2)*(c - 1)**2/19
Let x(y) = -y**2 + 174*y + 220. Let a(g) = -9*g**2 + 1482*g + 1869. Let n(d) = -5*a(d) + 42*x(d). Factor n(m).
3*(m - 35)*(m + 1)
Let i(w) be the first derivative of -5*w**4/4 + 50*w**3 - 405*w**2/2 + 4893. Solve i(b) = 0 for b.
0, 3, 27
Let s(z) be the third derivative of -9*z**8/112 - 17*z**7/35 + 53*z**6/40 - z**5/2 - 555*z**2. Let s(u) = 0.