 - 206*w**3/9 - 30*w**2 - 2*w + 4693. Factor z(s).
-(s - 10)*(s - 9)*(5*s + 2)/3
Let u be (1 - 3)*6/4 + 28. Factor -39 - 6 - u*q - 3*q**2 - q + 2*q.
-3*(q + 3)*(q + 5)
Let r(d) be the first derivative of -d**6/60 + 3*d**5/40 - d**4/12 - 61*d + 40. Let p(y) be the first derivative of r(y). Factor p(g).
-g**2*(g - 2)*(g - 1)/2
Let r(i) be the second derivative of i**5/40 - 5*i**4/16 + i**3 + 43*i**2/2 - 2*i. Let k(a) be the first derivative of r(a). Factor k(z).
3*(z - 4)*(z - 1)/2
Let s(a) = 3*a - 10. Let h be s(5). Let k(f) be the first derivative of -2 + 174*f**5 - 175*f**5 + h*f**3 + 2*f**2 - 7*f**2. Factor k(u).
-5*u*(u - 1)**2*(u + 2)
Let q(p) = 8*p**2 - 601*p + 1244. Let c be q(73). Factor -949104/11 + 2/11*a**c + 36504/11*a - 468/11*a**2.
2*(a - 78)**3/11
Let c(k) be the first derivative of 2*k**6/3 - 1488*k**5/5 - 3784*k**4 - 18264*k**3 - 41202*k**2 - 41256*k - 7288. Factor c(q).
4*(q - 382)*(q + 1)*(q + 3)**3
Let z be 1072/64 + (200/16 - 12). Factor 0 - z*q + 3/4*q**2.
3*q*(q - 23)/4
Suppose -u - 144 - 85 = 3*i, 317 = -4*i + u. Let o be i/(-24) - 1/4. Suppose 14 - 2*n - o*n + 15*n**2 - 14 = 0. What is n?
0, 1/3
Let a be ((-10)/3)/((-6)/(-36)). Let z be 1/a*6 - (-552)/240. Let 0 + 3/4*o + 1/4*o**4 - 5/4*o**z + 1/4*o**3 = 0. What is o?
-3, 0, 1
Let m(u) be the first derivative of -u**5/120 + u**4/16 - u**3/6 - 6*u**2 + u + 2. Let r(v) be the second derivative of m(v). Factor r(o).
-(o - 2)*(o - 1)/2
Let z(q) be the second derivative of -3*q**5/100 + 17*q**4/5 - 26*q**3 + 384*q**2/5 + 2*q + 526. Factor z(d).
-3*(d - 64)*(d - 2)**2/5
Find s, given that 54*s + 33/2*s**2 + 0 + 3/4*s**3 = 0.
-18, -4, 0
Let w be 412/412*(-3 + 3). Factor 0*i + 6/5*i**5 + 12*i**4 + 192/5*i**3 + 192/5*i**2 + w.
6*i**2*(i + 2)*(i + 4)**2/5
Determine r so that 750*r**3 + 7020*r**2 - 51*r**4 + 124*r**4 + 21330*r + 21465 - 44*r**4 - 34*r**4 = 0.
-3, 159
Let v(n) be the third derivative of -n**5/270 - 511*n**4/36 - 11*n**2 + 189. Factor v(m).
-2*m*(m + 1533)/9
Let v(s) = s**3 + 14*s**2 + 27*s - 5. Let l be v(-11). Suppose -2*y + 3 = -l. What is r in 15*r + 0*r**5 + 24*r**3 - r - y*r**2 - 4*r**5 - 2*r = 0?
-3, 0, 1
Let g(y) = y**2 + 29*y + 82. Let d be g(-3). Let x(s) be the second derivative of 0 + 1/78*s**4 - d*s + 36/13*s**2 - 4/13*s**3. Factor x(w).
2*(w - 6)**2/13
Let b be 6/(-2)*2/(-1). Let v(t) = -12*t**3 - 50*t**2 + 16*t + 6. Let u(m) = -m**2 + 1. Suppose -35*r = -48*r - 13. Let f(o) = b*u(o) + r*v(o). Factor f(w).
4*w*(w + 4)*(3*w - 1)
Let m be (4/4 - 2) + 3. Let t(j) = 15*j**3 - 3*j**2 + j - 2. Let p be t(m). Suppose 29*v**2 + 144*v + 10*v**2 + 4*v**3 - v**3 + p = 0. What is v?
-6, -1
Suppose 150 = 994*y - 964*y. Let d(z) be the third derivative of z**3 - 1/10*z**y + 1/8*z**4 + 0 + 0*z - 13*z**2 - 1/40*z**6. Factor d(x).
-3*(x - 1)*(x + 1)*(x + 2)
Suppose 3*q + 3*q - 18 = 0. Suppose 3*o**q + 6*o**3 - 9*o**2 - 294*o + 297*o - 3*o**4 = 0. What is o?
0, 1
Let o(m) = 8*m**2 + 39*m + 4. Let j be o(-6). Suppose 39 = -45*n + j*n. Find s such that 55/4*s + 3/4*s**2 - 25/2 - 1/4*s**4 - 7/4*s**n = 0.
-5, 1, 2
Let a(g) be the second derivative of 13*g**4/4 - 16*g**3 + 18*g**2 + 1112*g. What is q in a(q) = 0?
6/13, 2
Let i(n) be the second derivative of 44*n + 1/4*n**4 + 0*n**2 - n**3 + 0. Factor i(j).
3*j*(j - 2)
Suppose -41*b = -4*b. Factor b*i**2 + i**2 + 1917*i - 2*i**2 - 1919*i.
-i*(i + 2)
Let w(n) be the first derivative of n**4/10 + 214*n**3/15 - 678*n**2/5 + 10302. Factor w(r).
2*r*(r - 6)*(r + 113)/5
Let n(g) be the first derivative of -g**6/9 + 148*g**5/15 - 1369*g**4/6 + 1052. Determine x so that n(x) = 0.
0, 37
Let v = 3379 - 3375. Let q(y) be the first derivative of 0*y**2 - 1 - 9/4*y**v + 0*y - 2*y**3 - 3/5*y**5. Factor q(m).
-3*m**2*(m + 1)*(m + 2)
Find f such that -1014/11 - 2548/11*f + 6/11*f**4 - 172/11*f**3 + 1424/11*f**2 = 0.
-1/3, 3, 13
Suppose -15080*l + 14979*l = 0. Let o be -4*(-6)/28 + 0. Factor l - o*t**2 + 8/7*t - 2/7*t**3.
-2*t*(t - 1)*(t + 4)/7
Suppose -149*u = -250 + 44 - 241. Find b such that 10/3*b**2 + 0 - 14/9*b**u - 2*b + 2/9*b**4 = 0.
0, 1, 3
Let b be -6 - 6/4*(-8 + 46/69). Determine l so that 2/7*l**b - 8/7*l**3 + 0*l - 8/7*l**2 + 2/7*l**4 + 0 = 0.
-2, -1, 0, 2
Let l(d) = 6*d - 1. Let s = -93 - -95. Let p be l(s). Suppose -p*h - 8*h + 60*h**3 - 5*h**2 + 20*h**4 - 8*h + 12*h = 0. Calculate h.
-3, -1/2, 0, 1/2
Let v(s) be the second derivative of -s**4/4 + 52*s**3 - 4056*s**2 + s - 516. Let v(f) = 0. Calculate f.
52
Let -150*y - 5*y**2 + 50*y + 196891 - 195586 = 0. What is y?
-29, 9
Let k(p) be the second derivative of -p**6/3 + 47*p**5/20 - 29*p**4/6 + 7*p**3/2 + 279*p. Suppose k(s) = 0. What is s?
0, 7/10, 1, 3
Let d be -3*(-1 - (-4 - (-28)/6 - 0)). Let z(o) be the second derivative of -10*o + 0 - 1/60*o**d + 1/18*o**3 + 1/36*o**4 - 1/6*o**2. Solve z(p) = 0 for p.
-1, 1
Solve -106*m**4 - 25*m - 26*m**3 - 9*m**3 - 55*m**2 + 101*m**4 = 0 for m.
-5, -1, 0
Determine u so that -25*u + 99/4 + 1/4*u**2 = 0.
1, 99
Factor -49*l - 43*l - 74*l + 5*l**2 + 136*l.
5*l*(l - 6)
What is w in -243*w**2 - 81*w**3 - 85*w**3 - 5985*w - 78*w**3 - 40425 - 78*w**3 + 319*w**3 = 0?
-35, -11
Let l(r) = 3*r**3 + 11*r**2 - 4*r + 2. Let k be l(-4). Suppose -3*s + 20 + 1 = 0. Factor 3*o**2 + 15*o**k - 2*o**4 - 3*o**2 - 15*o**3 - 5*o + s*o**4.
5*o*(o - 1)**3
Let c(y) = -y**3 + 92*y**2 + 3818*y - 615. Let h be c(123). Suppose -1/5*d**3 - 2/5*d**2 + 0*d + h + 1/5*d**4 = 0. Calculate d.
-1, 0, 2
Let h(x) be the first derivative of -3/8*x**4 - 1/10*x**5 + x**3 + 0*x - 258 + 2*x**2. Factor h(m).
-m*(m - 2)*(m + 1)*(m + 4)/2
Suppose 2*t + 8 = -12. Let i(r) = 25*r**3 - 5*r**2 - 25*r + 5. Let k(p) = -8*p**3 + 8*p - 111*p**2 + 113*p**2 - 2 + 0. Let y(x) = t*k(x) - 3*i(x). Factor y(u).
5*(u - 1)**2*(u + 1)
Suppose 20*f - 1013 = -3*w, 3*w - 234 = -5*f + 4*w. Solve -63*s**2 - 27/7 + f*s**3 + 27*s = 0.
3/7
Let y(f) = 2*f**3 + f - 1. Let b(p) = 3*p**3 + 2169*p**2 - 522726*p + 41992560. Let u(o) = -b(o) + 3*y(o). Factor u(i).
3*(i - 241)**3
Let f(x) be the first derivative of -140*x**3/3 - 76*x**2 - 12*x + 822. Let f(w) = 0. What is w?
-1, -3/35
Let q(p) = 6 + p**4 + 94*p - 2 + 49*p - 33*p**3 - 35*p - 68*p**2. Let o(l) = 3*l**4 - 66*l**3 - 135*l**2 + 216*l + 9. Let t(x) = 4*o(x) - 9*q(x). Factor t(m).
3*m*(m - 1)*(m + 6)**2
Let z(i) = 3*i - 225. Let p be z(73). Let w(r) = 2*r**2 - 3*r - 88. Let d be w(p). Suppose 20*n + 5/2*n**d + 0 = 0. Calculate n.
-8, 0
Let q(h) be the second derivative of h**6/180 - 3*h**5/10 - 11*h**4/4 - 71*h**3/9 - 41*h**2/4 - h + 244. Factor q(a).
(a - 41)*(a + 1)**2*(a + 3)/6
Let t(c) be the second derivative of -5/48*c**4 + 3*c - 1/12*c**3 - 1/20*c**5 + 6 + 0*c**2 - 1/120*c**6. Factor t(i).
-i*(i + 1)**2*(i + 2)/4
Let v(z) = 3*z**2 + 9*z - 7. Let d be v(-5). Suppose 10 = d*w - 18*w. Determine l so that 262*l - 2*l**4 + w*l**3 - 262*l - 2*l**5 + 2*l**2 = 0.
-1, 0, 1
Let w(m) be the third derivative of m**5/10 - 103*m**4/8 - 26*m**3 - 135*m**2 - 3*m. Solve w(u) = 0.
-1/2, 52
Let u(m) = m**2 + 5*m + 19. Let f be u(0). Suppose -10*n - 18 = -f*n. Solve -3 - t - n*t + 7*t - 6*t**3 + 3*t**2 + 2*t = 0.
-1, 1/2, 1
Let a(n) be the second derivative of -n**4/60 - 489*n**3/10 - 113*n + 8. Factor a(o).
-o*(o + 1467)/5
Let z(b) be the first derivative of 1/30*b**5 - 13/12*b**2 - 1/6*b**3 + 5/24*b**4 - 126 + 5/3*b. Determine s, given that z(s) = 0.
-5, -2, 1
Suppose 4*s + 13*f - 10*f - 9 = 0, s - 15 = -5*f. Solve -1/4*k**2 + 0*k + 1/2*k**3 + s + 3/4*k**4 = 0 for k.
-1, 0, 1/3
Let x be 2/(-2)*((-45)/5 + 4). Let g(u) be the first derivative of 4/45*u**x - 4/9*u + 9 + 0*u**3 - 5/9*u**2 + 5/18*u**4. Find i such that g(i) = 0.
-2, -1, -1/2, 1
Let q(j) = -43*j**4 - 2336*j**3 + 2475*j**2 + 13950*j. Let r(f) = 17*f**4 + 934*f**3 - 990*f**2 - 5580*f. Let k(n) = -7*q(n) - 18*r(n). Factor k(c).
-5*c*(c - 3)*(c + 2)*(c + 93)
Let s be 5*-1 + (11 - (-1 + -26)). Let g(y) = -y**2 + 5*y + 8. Let t = -14 - -16. Let k(f) = 15*f**2 - 81*f - 129. Let v(r) = s*g(r) + t*k(r). Factor v(d).
-3*(d - 2)*(d + 1)
Let f(l) = -3*l - 23. Let w be f(-9). Find t, given that 23*t**4 - 9*t**4 - 11*t**w - 3*t**3 = 0.
0, 1
Let r = 378 - 370. Let o(f) = 20*f**2 + 500*f + 6250. Let z(a) = -31*a**2 - 750*a - 9375. Let t(n) = r*o(n) + 5*z(n). Factor t(k).
5*(k + 25)**2
Suppose 43*s - 48 = 55*s. Let d be s