 24*s**3 - 171*s**3 - j*s**3 + 57*s**2 + 255*s**2 - 3*s**5.
-3*s*(s - 8)*(s - 2)**3
Let l be (-165)/(-105)*((2 - -2) + 3). Solve l + 5 + 21*g - 5*g + 4*g**2 = 0.
-2
Let x(p) be the second derivative of -p**4/42 + 4*p**3/21 - 4*p**2/7 + 272*p + 9. Determine a so that x(a) = 0.
2
Suppose 4*f + 60 = 3*q, -4*q - 4*f = -2*f - 58. Suppose -q*i + 76 - 12 = 0. Solve 24/13*n**5 + 32/13*n**3 - 2/13 + 12/13*n**2 - 8/13*n - 58/13*n**i = 0.
-1/3, -1/4, 1
Determine i so that -544 - 81*i - 30*i**2 - 3*i**3 + 218 + 272 = 0.
-6, -3, -1
Let x(u) be the first derivative of -6*u**5/55 + 18*u**4/11 - 90*u**3/11 + 150*u**2/11 - 35. Suppose x(a) = 0. What is a?
0, 2, 5
Suppose -5*i = -7*i + 30. Let k = 1 + i. Let -5*q**2 + 4*q**4 - 16*q**3 - k*q + 2 + 12*q**2 + 17*q**2 + 2 = 0. Calculate q.
1
Let o(n) be the second derivative of 0 - 1/72*n**4 - 1/3*n**3 - 12*n**2 + 1/180*n**5 - 30*n. Let d(l) be the first derivative of o(l). Factor d(s).
(s - 3)*(s + 2)/3
Let j(r) be the first derivative of r**6/3240 + 5*r**5/216 + 37*r**3 + 265. Let q(l) be the third derivative of j(l). Determine c, given that q(c) = 0.
-25, 0
Let u(g) be the second derivative of -25/2*g**2 - 2 - 10*g**3 - 5/3*g**4 - 10*g. Factor u(k).
-5*(2*k + 1)*(2*k + 5)
Let a(g) be the third derivative of 1/8*g**4 + 0*g**7 + 1/3*g**3 + 0 - 106*g**2 - 1/30*g**6 + 0*g + 1/336*g**8 - 1/30*g**5. Find s, given that a(s) = 0.
-1, 1, 2
Let y be (3/4)/((-2470)/40 - -61) - (0 - 5). Determine r, given that 50*r + 5/4*r**y + 0 + 15/2*r**3 - 45*r**2 = 0.
-10, 0, 2
Let m(q) = 2*q**3 + 75*q**2 + 35*q - 64. Let g be m(-37). Let a be (3 + 11/11)/g. Factor -a*d**5 - 2*d**4 + 16/5*d - 12/5*d**3 + 0 + 8/5*d**2.
-2*d*(d - 1)*(d + 2)**3/5
Let i = 188 + -120. Let 50*l**4 + 64*l**5 + i*l**3 + 74*l**4 + 8*l**2 + 42*l**4 - 6*l**4 = 0. Calculate l.
-2, -1/4, 0
Let q(i) be the second derivative of 1/30*i**6 + 4/3*i**3 - 1/10*i**5 + 89*i + 0*i**2 - 1/3*i**4 - 2. Let q(j) = 0. Calculate j.
-2, 0, 2
Let t(a) = -144*a - 70. Let v be t(17). Let s = v + 32752/13. Factor s*h + 2/13*h**2 + 0.
2*h*(h + 9)/13
Let d be 3/(-2)*((-29575)/(-210))/(-169). Determine g so that -1/4*g**3 + d*g + 0 - g**2 = 0.
-5, 0, 1
Let u(g) be the second derivative of -g**7/84 - 3*g**6/8 - 63*g**5/80 + g**4/48 + 7*g**3/8 + 1043*g. Suppose u(o) = 0. Calculate o.
-21, -1, 0, 1/2
Suppose 27*w - 86*w + 588 = 88*w. Factor -1/4*r**2 + w - 3/2*r.
-(r - 2)*(r + 8)/4
Suppose 47/2*c**4 + 0 + 1/4*c**5 + 2301/4*c**3 + 529*c + 1081*c**2 = 0. What is c?
-46, -1, 0
Let q(v) = v**3 + 2*v**2 + 2*v + 2. Let s(j) = -2*j**3 + 53*j**2 + 206*j + 194. Let k(o) = -5*q(o) - s(o). Solve k(a) = 0 for a.
-17, -2
Let l = 85 + -91. Let r(j) = -j**3 - 5*j**2 + 7*j + 8. Let g be r(l). What is q in -5*q**2 + 2*q**g - 11*q + 12 + 2*q = 0?
-4, 1
Let z = -83 + 86. Let j be 11/3 + 1/z. Let 0*f**5 + 4*f**4 - 2*f**j - 4*f**5 - 2*f**2 + 2*f**3 + 4*f**3 - 2*f = 0. Calculate f.
-1, -1/2, 0, 1
Suppose -2*m - 56 = -4*s, -24 = -s + 40*m - 42*m. Suppose -20*p + 8 = -s*p. Let 0 + 3/4*l**p + 3/2*l = 0. Calculate l.
-2, 0
Let m(x) = -8*x + 92. Let y be m(15). Let u = y + 95/3. Find k such that 4/3*k**3 + u*k + 2/3 + 13/3*k**2 = 0.
-2, -1, -1/4
Let j = -5 + 17. Suppose j*s - 36 = 3*s. Factor 10*a**3 - 12 + 45*a**s + 7 + 5 + 35*a**5.
5*a**3*(a + 1)*(7*a + 2)
Let p be (-18)/72 - (-34)/8. Let -5*t**3 - 8*t**3 - t**4 + 7*t**3 - 7*t**p - 2*t**5 = 0. Calculate t.
-3, -1, 0
Factor 5/7*s**2 + 72 - 1262/7*s.
(s - 252)*(5*s - 2)/7
Let q(a) = -2*a**2 + 14*a + 16. Let j be q(7). Factor 108 + 29*c**3 + 144*c**2 + 27*c**3 + 8*c**4 + 7*c + 209*c - j*c**3 - 4*c**4.
4*(c + 1)*(c + 3)**3
Let o be 1026/(-24)*(112/(-6))/7. Suppose -15*b - o = -34*b. Factor 4/3 + b*u - 10/3*u**2.
-2*(u - 2)*(5*u + 1)/3
Let q(v) be the second derivative of -v**6/75 + 23*v**5/10 + 182*v**4/5 + 592*v**3/3 + 1984*v**2/5 - 1791*v. Suppose q(p) = 0. Calculate p.
-4, -1, 124
Factor 24570*p - 1089/4*p**2 + 24843 + 3/4*p**3.
3*(p - 182)**2*(p + 1)/4
Factor -3590*d + 2390*d**2 + 9002 - 1397 - 8890*d + 245*d**4 + 2240*d**3.
5*(d - 1)**2*(7*d + 39)**2
Let c(m) = -10*m**2 + 418*m + 404. Let q(v) = 23*v**2 - 838*v - 807. Let u(p) = -9*c(p) - 4*q(p). Factor u(g).
-2*(g + 1)*(g + 204)
Let p be 15/((-21546)/741 + 31). Determine c so that 1/5*c**3 - 11/5*c**2 + p*c - 9 = 0.
3, 5
Suppose 0 = -5*j + 7*j + 92. Let q = -42 - j. Factor 24*o**2 + 8*o - 9*o**2 - q*o**4 - 3*o**2.
-4*o*(o - 2)*(o + 1)**2
Let i = 7 - 4. Suppose 3*b - 4*c - 17 - 28 = 0, 6 = -2*c. Find f such that 5*f - f**3 + 15*f**2 - f - 7*f - b*f**i = 0.
0, 1/4, 1
Let q = -173866/5 + 34638. Let k = 136 + q. Factor -k*z - 2/5*z**2 + 0.
-2*z*(z + 2)/5
Let t(n) be the second derivative of -3*n**5/20 - 297*n**4/2 - 58806*n**3 - 11643588*n**2 - 91*n. Factor t(o).
-3*(o + 198)**3
Let k be (15/18)/(-5) - (-35358)/14940. Factor 4/5*g - 1/5*g**4 - k*g**2 + 0 + 9/5*g**3 - 1/5*g**5.
-g*(g - 1)**3*(g + 4)/5
Let t be 85/51 - 6/(-3 - -9). Factor -f**2 + 1/3*f + 1/3*f**4 + t - 1/3*f**3.
(f - 2)*(f - 1)*(f + 1)**2/3
Factor 0 + 18/13*v**2 + 0*v + 2/13*v**5 - 34/13*v**3 + 14/13*v**4.
2*v**2*(v - 1)**2*(v + 9)/13
Let n(i) be the first derivative of -4*i**5/5 + 48*i**4 - 1024*i**3 + 10240*i**2 - 49152*i - 7344. Solve n(d) = 0.
8, 24
Let u(y) be the third derivative of y**8/1260 - 2*y**7/105 - 13*y**6/270 + 24*y**3 + 3*y**2 + 13*y. Let t(f) be the first derivative of u(f). Factor t(s).
4*s**2*(s - 13)*(s + 1)/3
Let b(u) be the second derivative of -u**6/540 - 7*u**5/135 - 9*u**2 + 9*u. Let p(f) be the first derivative of b(f). Let p(n) = 0. Calculate n.
-14, 0
Let i(s) be the first derivative of -s**6/24 + 2*s**5 - 30*s**4 + 3*s**2/2 + 17*s + 28. Let j(z) be the second derivative of i(z). Solve j(c) = 0.
0, 12
Let o(j) be the second derivative of j**6/6 + 775*j**5/2 + 250260*j**4 - 3875*j**3/3 - 3003125*j**2/2 + 11132*j. Factor o(d).
5*(d - 1)*(d + 1)*(d + 775)**2
Let m be (-1)/(-4) - (210/(-56) + 3). Let g be (1/m - 3)/(8/(-2)). Solve -1/2*c**4 + g*c + 3/4*c**2 + 0 - 3/4*c**3 = 0.
-2, -1/2, 0, 1
Let s(m) = 37*m**2 + 274*m - 2418. Let d(w) = -13*w**2 - 91*w + 804. Let p(l) = 34*d(l) + 12*s(l). Factor p(y).
2*(y - 8)*(y + 105)
Suppose -6*s + 216 = -0*s. Suppose 7*q = -2*q + s. Factor -6777*g**2 + 20 + 6789*g**2 - g + q*g**3 - 35*g.
4*(g - 1)**2*(g + 5)
Let q(n) be the first derivative of n**4/4 - 97*n**3/3 + 48*n**2 - 1049. Find i, given that q(i) = 0.
0, 1, 96
Let w(k) = k**4 + k**3 + 3*k + 2. Let v(j) = -3*j**4 + 31*j**3 + j**2 - 39*j - 4. Let c(x) = 3*v(x) + 6*w(x). Suppose c(f) = 0. What is f?
-1, 0, 1, 33
Suppose -645*u - 270*u - 790*u = 79*u - 320*u. What is x in 0 + 5/4*x**3 - x - 1/4*x**5 + u*x**2 + 0*x**4 = 0?
-2, -1, 0, 1, 2
Let h be (5 + (-227853)/(-15))/(16888/4). Let x = h - -2/2111. Factor -x - 12/5*g - 2/5*g**2.
-2*(g + 3)**2/5
Let z(k) be the second derivative of k**6/6 - 22*k**5 - 1825*k**4/12 - 230*k**3 - 4*k - 157. Let z(l) = 0. What is l?
-3, -1, 0, 92
Let m(u) be the first derivative of -5*u**4/4 + 2765*u**3 - 1718100*u**2 - 3444500*u + 2898. Factor m(v).
-5*(v - 830)**2*(v + 1)
Let x be (-1)/6*1428/56 + 1*5. Let 0 + x*z**3 - 1/8*z**4 + z - 3/2*z**2 = 0. Calculate z.
0, 2
Suppose -1694 = 10*s - 444. Let v be 100/s + (-68)/(-10) + -3. Suppose -1/5*u**v - 1/5*u + 2/5*u**2 + 0 = 0. What is u?
0, 1
Let x = -96458/3 + 32153. Factor 0*m**2 - m + x*m**3 - 2/3.
(m - 2)*(m + 1)**2/3
Let u = 21827/2 - 11300. Let c = 389 + u. Find i, given that -25/4 - c*i - 1/4*i**2 = 0.
-5
Let i be -10 + 29/(-174) + (-291)/(-18). Determine l so that -2/5*l**2 + i - 4/5*l = 0.
-5, 3
Let u(l) be the first derivative of -2*l**5/25 - 11*l**4/5 - 238*l**3/15 - 218*l**2/5 - 48*l - 2818. Find t such that u(t) = 0.
-15, -4, -2, -1
Let r(q) = 9*q**2 - 486*q + 5073. Let k(g) = 10*g**2 - 485*g + 5145. Let u(d) = 4*k(d) - 5*r(d). Suppose u(y) = 0. Calculate y.
11, 87
Let i(z) be the first derivative of -z**6/90 - 41*z**5/15 - 1681*z**4/6 + 25*z**3 + 122. Let g(p) be the third derivative of i(p). Factor g(t).
-4*(t + 41)**2
Let v = 27191/180740 - 4/9037. Let m(f) be the second derivative of -2*f**4 + 13/2*f**3 - 9*f**2 + v*f**5 + 0 - 25*f. Let m(u) = 0. What is u?
1, 6
Let h be 1/(-4) + 6*8/192. Let l = 358/17 - 1381/68. What is t in h - l*t**3 + 0*t**2 + t + 1/4*t**4 = 0?
-1, 0, 2
Factor 20*p**3 - 64 - 101*p**2 - 37*p**2 - 2*p**4 - 437*p + 601*p 