+ 1/3*u**3.
u*(u - 128)*(u - 1)/3
Let q(x) = -x**3 + 10*x**2 - 7*x - 15. Let c be q(9). Suppose 0 = 5*o - n - 13, c*n - 4 = n. Determine s, given that -44*s + 77*s + 0*s**2 - o*s**2 - 36*s = 0.
-1, 0
Let l(h) = h**3 - 10*h**2 - 15*h + 7. Let p be l(12). Let r = p + -65. Solve -r - t**2 - 222*t + 202*t - t**2 = 0 for t.
-5
Let u(p) be the third derivative of 0*p**5 - 1/600*p**6 - 1/1680*p**8 + 0*p**3 + 0*p**4 + 0*p + 1/525*p**7 - 29*p**2 + 4. Solve u(s) = 0.
0, 1
Let l(i) = -124*i**2 + 17484*i + 4. Let z be l(141). Factor 0 - 3/8*p**z + 0*p - 3/8*p**3 + 3/8*p**5 + 3/8*p**2.
3*p**2*(p - 1)**2*(p + 1)/8
Let u(r) be the third derivative of -2/33*r**4 - r**2 + 0*r - 7/132*r**6 + 4/11*r**3 - 109/330*r**5 - 4. Find j, given that u(j) = 0.
-3, -2/5, 2/7
Suppose 0 = -29*q - 71721 - 1794. Let y be 56/30 + (-338)/q. Find h such that 2/5 + 4/5*h + 2/5*h**y = 0.
-1
Suppose 18*l - 9*l - 8*l = 5*l - 12. Find p such that -24*p + 12*p**2 + 24*p**l + 3/2*p**5 + 21/2*p**4 - 24 = 0.
-2, 1
Let g be 70 - ((2 - (11 + -4)) + 3). Let w be (-31)/(1674/g)*(-2)/8. Factor -4/3 - w*p**4 + 2*p**3 - 13/3*p**2 + 4*p.
-(p - 2)**2*(p - 1)**2/3
Let n be (24/6)/(5 - 3). Determine t so that -24*t**3 + 29*t**4 - 18*t - 32*t**4 - 33*t**2 - 6*t**n = 0.
-6, -1, 0
Let s(k) be the second derivative of k**6/450 + 4*k**5/75 - 5*k**3/6 - 2*k**2 + 3*k - 6. Let c(v) be the second derivative of s(v). Factor c(q).
4*q*(q + 8)/5
Let y(q) be the second derivative of -3*q**5/140 - q**4/2 + 20*q**3/7 + 192*q**2/7 - 410*q. Solve y(i) = 0 for i.
-16, -2, 4
Factor -1288*o**3 - 1194*o**3 - 2*o**5 - 108*o**2 + 10530*o + 1330*o**3 + 204*o**4 - 15552.
-2*(o - 96)*(o - 3)**3*(o + 3)
Let t(c) = -68*c**2 + 3*c + 2. Let b be t(-1). Let l = b + 75. Suppose 2*s**3 + 2*s**5 - 4*s**4 + 9 - s + l*s**4 - 4*s**2 - 3*s**5 - 7 = 0. Calculate s.
-1, 1, 2
Let w be 354/11 + (-226 - -194). Factor -6/11*q**2 - 10/11*q**4 + 0 - w*q**5 + 0*q - 14/11*q**3.
-2*q**2*(q + 1)**2*(q + 3)/11
Let c(f) be the second derivative of -3*f**5/20 - 287*f**4/2 - 82369*f**3/2 - f - 671. Factor c(r).
-3*r*(r + 287)**2
Factor 915 + i**2 - 286*i - 3*i**2 + 2*i**2 + 1202*i + i**2.
(i + 1)*(i + 915)
What is b in 2/5*b**5 + 0 + 0*b + 326*b**3 - 336/5*b**4 + 0*b**2 = 0?
0, 5, 163
Let g(n) = -n + 35. Let y be g(33). Suppose 1221 + 234*b + 1324 + 2018 + 3*b**y = 0. What is b?
-39
Let d = -73184 - -805032/11. Let -d*h**3 - 4/11*h + 10/11*h**2 + 2/11*h**4 + 0 = 0. What is h?
0, 1, 2
Factor -56*c**3 + 120*c**2 - 104 - 262*c + 3*c**2 - 433*c**2 + 97*c**2 - c**4.
-(c + 1)**2*(c + 2)*(c + 52)
Solve 1/2*p + 26*p**2 - 26 - 1/2*p**3 = 0 for p.
-1, 1, 52
Let z(t) be the second derivative of -4/5*t**3 - 18/5*t**2 + 0 - 138*t - 1/20*t**4. Factor z(v).
-3*(v + 2)*(v + 6)/5
Solve 44/3*c**4 + 224/3*c**2 - 1600/3 + 1120/3*c - 272/3*c**3 - 2/3*c**5 = 0 for c.
-2, 2, 10
Let p(i) = 5*i + 13. Let b be p(-3). Let o be (-222)/(-3) - (b/(-1) + 2). Let -22*z + z**4 + 71*z - 26*z**3 + 49*z + z**4 + o*z**2 = 0. Calculate z.
-1, 0, 7
Let y be 30*84/9800 + (-75)/(-35). Let -2/5*h**4 + 24/5*h + y*h**3 - 8/5 - 26/5*h**2 = 0. What is h?
1, 2
Let -91*g - 104*g + 326*g - 101*g + g**2 = 0. Calculate g.
-30, 0
Let l = 7808757/5 - 1561751. Solve -54/5*b**3 - l - 36*b**4 + 54/5*b + 182/5*b**2 = 0 for b.
-1, -1/3, 1/30, 1
Let w(r) = -5*r**3 - 43*r**2 + 237*r - 309. Let v(n) = 9*n**3 + 86*n**2 - 473*n + 622. Let s(f) = -6*v(f) - 11*w(f). Factor s(o).
(o - 37)*(o - 3)**2
Let q be (4 - (31 - 24))/(1 + 1)*-3. Suppose 1/2*b - 4*b**3 - q*b**5 + 9*b**4 - b**2 + 0 = 0. What is b?
-1/3, 0, 1/3, 1
Let s(r) = 5*r**2. Suppose 60*p - 54*p = 6. Let w be s(p). Suppose 5*b**3 + 7 + 3*b - w*b**2 + 3 - 5 - 8*b = 0. What is b?
-1, 1
Let 184/5*t - 354/5*t**2 + 312/5 + 104/5*t**3 - 6/5*t**4 = 0. What is t?
-2/3, 2, 3, 13
Let l(o) = -7*o**3 + 26*o**2 - 5*o - 18. Let r(y) be the first derivative of 3*y**4/2 - 8*y**3 + 3*y**2 + 18*y + 179. Let s(n) = 3*l(n) + 2*r(n). Factor s(g).
-3*(g - 3)*(g - 1)*(3*g + 2)
Let h be (-10)/32 + 13330/42656. Factor -1/5*j**3 + h*j**2 + 3/5*j + 2/5.
-(j - 2)*(j + 1)**2/5
Let m(s) be the second derivative of 3/20*s**5 + 2/3*s**4 - s - 6 + 1/2*s**3 + 0*s**2 - 1/15*s**6. What is l in m(l) = 0?
-1, -1/2, 0, 3
Suppose -3*n + q = 2*q - 628, 4*n + 2*q = 840. Solve -21 + 6*l**2 + 97*l**5 + n*l - 194*l**3 - 350*l**4 + l**5 - 512*l**3 - 19 - 16*l**2 = 0 for l.
-1, 2/7, 5
Let b(y) be the third derivative of -y**5/18 + 277*y**4/36 - 110*y**3/9 - 2840*y**2. Factor b(q).
-2*(q - 55)*(5*q - 2)/3
Let x(y) = -8*y**2 + 840*y - 826. Let n(c) = 13*c**2 - 1681*c + 1658. Let q(g) = -6*n(g) - 10*x(g). Let q(a) = 0. What is a?
-844, 1
Suppose 19*c = 3*c - 3776. Let g = c + 1182/5. Factor 8/5*d + 2 - g*d**2.
-2*(d - 5)*(d + 1)/5
Let o = 12338/13 - 12336/13. Suppose -o*p**5 + 4/13*p**3 + 12/13*p**4 + 12/13 - 24/13*p**2 - 2/13*p = 0. Calculate p.
-1, 1, 6
Suppose -357 = -16*a + 203. What is l in 5 - 12*l**3 - 31*l**4 - 5 + a*l**4 = 0?
0, 3
Suppose 2*i + 19*d - 26 = 16*d, 0 = -4*i - 5*d + 50. Let h(y) be the first derivative of i*y**2 + 12*y + 9 - 8/3*y**3. Factor h(s).
-4*(s - 3)*(2*s + 1)
Let s(i) be the first derivative of i**7/42 + i**6/6 + i**5/3 - 45*i**2/2 - 71. Let v(p) be the second derivative of s(p). Solve v(t) = 0.
-2, 0
Determine k, given that 6950*k**3 - 1992*k**2 - 6948*k**3 - 73188736 + 326280*k + 335064*k = 0.
332
Let a be (-100)/36 - ((-14)/(-63) - 0). Let g be 234/108 - (3 + 4/a). Determine n, given that 0 + 0*n + 1/8*n**2 + 5/8*n**3 + g*n**4 = 0.
-1, -1/4, 0
Suppose -2*a + 0*o = 2*o - 84, -3*a + 2*o = -121. Let g = 1091 - a. Let 172*x - 2*x**4 - 180*x**2 + 228*x + g*x**3 - 1018*x**3 - 250 = 0. Calculate x.
1, 5
Let k(u) be the third derivative of -u**5/40 - 15*u**4/2 + 61*u**3 + 112*u**2 - 2*u. Factor k(p).
-3*(p - 2)*(p + 122)/2
Let i(m) be the second derivative of -m**4/78 + 53*m**3/39 - 102*m**2/13 - 5028*m. Factor i(o).
-2*(o - 51)*(o - 2)/13
Let t = 614218/7 + -87745. Factor 5/7*m - 5/7*m**3 + 1/7*m**4 + t*m**2 - 4/7.
(m - 4)*(m - 1)**2*(m + 1)/7
Suppose -30*p - 15 = -33*p. Factor 11 + 8*t**2 + 40*t - 55 - 9*t**2 + p*t**2.
4*(t - 1)*(t + 11)
Find g such that 349*g**4 + 35571*g**3 + 6414*g**2 + 226*g**4 + 421*g**4 + 3668*g**2 + 7*g**5 = 0.
-71, -2/7, 0
Let g(b) be the first derivative of -b**5/240 + b**4/48 - b**3/24 + b**2 - 12*b + 34. Let i(l) be the second derivative of g(l). Let i(s) = 0. What is s?
1
Let g(u) = 9*u**2 + 16*u + 128. Let v(j) = 20*j**2 + 33*j + 279. Let x(b) = -9*g(b) + 4*v(b). Factor x(f).
-(f + 6)**2
Determine p, given that 0 - 1/6*p**2 + 37/6*p = 0.
0, 37
Let z = -145219 - -1597417/11. Find h, given that 38/11*h**4 - z*h**2 - 14/11*h**5 + 0*h - 16/11*h**3 + 0 = 0.
-2/7, 0, 1, 2
Let g be 7 - 1 - 2*186/63. Let k = -36 + 36. Determine f, given that 0*f**2 + 2/21*f**3 - g*f + k = 0.
-1, 0, 1
Let q(l) be the first derivative of 0*l**3 - 5/4*l**4 + 0*l - 7 - 7*l**5 + 0*l**2. Factor q(x).
-5*x**3*(7*x + 1)
Let w be (2/5)/((-20)/(-150)). Solve -32*q**3 - 26*q**3 - 32*q**w - 33*q**2 + 93*q**3 = 0 for q.
0, 11
Let u be ((0/(-6))/(-6))/1. Solve -6*k + 6*k**3 + u*k - 21*k**2 + 3*k**4 + 25*k**4 - 7*k**4 = 0.
-1, -2/7, 0, 1
Let i(l) = 5*l**3 + 7*l**2 - 7*l - 2. Let o(w) = -14*w**3 - 21*w**2 + 21*w + 5. Let z(n) = 17*i(n) + 6*o(n). Let v be z(6). Factor 8*g**v + 14*g**2 - 18*g**2.
4*g**2
Let r(d) be the first derivative of d**3/27 + 46*d**2/9 + 2116*d/9 + 2824. Solve r(h) = 0.
-46
Let x(y) = -4 + 2 + 18 - 63*y. Let w be x(-16). Factor 686*z + 469*z**2 + w - 85*z**2 + 338*z + 64*z**3 + 4*z**4.
4*(z + 4)**4
Factor 69/4*q + 3/8*q**2 - 117.
3*(q - 6)*(q + 52)/8
Let o = 44446 + -44442. Find y, given that 0*y**2 + 0*y - 1/5*y**5 + 2/5*y**o + 0 + 0*y**3 = 0.
0, 2
Let b be (-2)/(-11) + (-1656)/396. Let r be b/(-408)*-16*(-9)/12. Factor -r*s**3 + 18/17*s - 6/17*s**2 - 10/17.
-2*(s - 1)**2*(s + 5)/17
Let h(p) be the second derivative of -1/8*p**4 - 5/8*p**3 + 3/80*p**5 + 5 + 10*p + 9/4*p**2. Factor h(u).
3*(u - 3)*(u - 1)*(u + 2)/4
Let h(l) be the third derivative of -l**4/8 - 3*l**3/2 + 13*l**2. Let f be h(-4). Solve b - b**4 + 0*b**3 - 2*b**5 + 8*b**3 - f*b**4 - 7*b + 4*b**2 = 0.
-3, -1, 0, 1
Let r be ((78/(-198))/(-13))/(((-1)/(-15))/(10/25)). Determine i, given that 0 - r*i**4 + 2/11*i**2 + 8/11*i**3 - 8/11*i = 0.
-1, 0, 1, 4
Suppose -116*j**2 + 70*j**5 + 1010*j**2 + 568*j**3