, 1, 2
Let o(l) = -21*l**3 + 2644*l**2 - 5204*l - 46. Let m(u) = 9*u**3 - 1133*u**2 + 2230*u + 20. Let k(g) = -23*m(g) - 10*o(g). Suppose k(w) = 0. What is w?
0, 2, 125
Let o be 21 + -12 + -2 + -4. Let i(n) be the first derivative of 29 + n + 0*n**4 + 1/5*n**5 + 0*n**2 - 2/3*n**o. Factor i(u).
(u - 1)**2*(u + 1)**2
Let t(d) be the first derivative of 12*d**3 - 2/5*d**5 - 192*d - 32*d**2 + 3/2*d**4 - 109. Determine n, given that t(n) = 0.
-3, -2, 4
Let f(x) be the first derivative of 2*x**3/23 - 257*x**2/23 + 340*x/23 + 77. Factor f(l).
2*(l - 85)*(3*l - 2)/23
Suppose 0 = -2*w - 3*v + 104, 218 = 5*w - 3*v - 0*v. Let c = w - 44. Solve -2*m**c + 3*m**2 - 3*m**3 + 4*m**2 - 2*m**3 = 0 for m.
0, 1
Suppose 180 + 1/2*c**3 + 78*c + 11*c**2 = 0. Calculate c.
-10, -6
What is h in -10*h**4 - 818*h**2 + 710*h**2 + 168*h**3 + h - h + 3*h**5 - 53*h**4 = 0?
0, 1, 2, 18
Let y be (-5)/(5/4) - 4248/(-1060). Let m = y + 2377/1060. Find d, given that -m*d**2 + 3/4*d**4 + 0*d + 0 - 3/2*d**3 = 0.
-1, 0, 3
Determine v, given that -1206/5*v - 174/5*v**3 - 432/5 - 768/5*v**2 - 12/5*v**4 = 0.
-8, -3, -1/2
Suppose 0 = -0*i - i - 2*k + 12, 0 = 2*k. Suppose 6*r + i = 12*r. Factor 169 - 145 - 8*c - 28*c - 3*c**3 + 18*c**r.
-3*(c - 2)**3
Factor 1912/3*k + 456968 + 2/9*k**2.
2*(k + 1434)**2/9
Find h such that -1/3*h**2 + 26*h - 1352/3 = 0.
26, 52
Let g be ((-4 + 7)/3)/(-16 + 17). Factor 1/2*c**3 - 5/4*c - 7/4*c**2 + g.
(c - 4)*(c + 1)*(2*c - 1)/4
Let c(l) = -l**3 - 6*l**2 - 10*l - 3. Let p be c(-4). Factor 91*r**2 + 87*r**2 - 2*r**3 + p*r - 188*r**2 + 7*r**3.
5*r*(r - 1)**2
Let m(r) = -r**4 - 2*r**3 - 3*r**2. Let q = -73 - -76. Let b(n) = -31*n**3 + 0*n**2 - n**2 + 32*n**q. Let v(y) = 2*b(y) - 2*m(y). Find g such that v(g) = 0.
-2, -1, 0
Let z(d) be the first derivative of 2*d**3/45 - 683*d**2/15 + 1072. Find u, given that z(u) = 0.
0, 683
Let x(t) be the third derivative of -t**6/20 + 83*t**5/9 - 46*t**4/9 - 3*t**2 - 79*t. Factor x(u).
-2*u*(u - 92)*(9*u - 2)/3
Let p(v) be the second derivative of v**5/20 - 931*v**4/3 + 7445*v**3/6 - 1861*v**2 + 11235*v. Factor p(z).
(z - 3722)*(z - 1)**2
Let b(k) = -6*k**3 + k**2 + 290*k - 147. Let t(h) = 18*h**3 - 2*h**2 - 868*h + 441. Let j(u) = -7*b(u) - 2*t(u). Factor j(x).
3*(x - 7)*(x + 7)*(2*x - 1)
Let z be ((-31)/(6975/(-2376)))/(((-1860)/(-150))/31). Solve -z*m - 6534/5 - 2/15*m**2 = 0 for m.
-99
Let o be 528/240 + 4/5. Suppose 24*r**o - 4*r**5 + 50012 + 20*r**4 - 50012 = 0. Calculate r.
-1, 0, 6
Let s be (490/22)/7 + (320/(-110))/16. What is m in 20/3*m**2 + 2/3*m**s + 0 - 2/3*m**4 + 16/3*m = 0?
-2, -1, 0, 4
Let c(h) be the second derivative of h**7/10080 - 13*h**6/2880 - h**4/12 + 7*h**3/6 + h - 3. Let o(f) be the third derivative of c(f). Solve o(m) = 0.
0, 13
Suppose 37*g = 79 - 5. Suppose g*a + 2*q - 6 = 0, 3*a + 5*q - 10*q + 15 = 0. Factor 0 + a*l**2 - 4/3*l - 1/3*l**4 + l**3.
-l*(l - 2)**2*(l + 1)/3
Suppose -5*d + 3*p + 13 = 9, 0 = d + 2*p - 6. Factor -39 + 22 + 5*h**d + 17.
5*h**2
Suppose 2*d - 4 = r, 3*r - 4 = 2. Suppose 2*f - 1 = d*c - 5, -5*c = 3*f - 13. What is m in 0*m**2 - 4*m**c - 35 - 1 + 24*m = 0?
3
Let j(z) = -5 - 2 - 3*z**2 + 11*z**2 + 14 - 18*z. Let k(h) = 532*h + 11 - 567*h + 15*h**2 + 4. Let a(m) = -5*j(m) + 3*k(m). Factor a(b).
5*(b - 2)*(b - 1)
Find v such that 3436 - 40*v**2 + 120*v + 2*v**4 - 6259 - 10*v**3 + 3111 = 0.
-3, -2, 4, 6
Let d(h) be the first derivative of 76*h**3 + 33 + 1026*h**4 + 113 + 1021*h**4 - 144*h**2 + 80*h - 2052*h**4. Factor d(s).
-4*(s - 10)*(s - 1)*(5*s - 2)
Let d = 72746 - 509219/7. Factor d*h**4 + 3/7*h**5 - 18/7*h**3 - 9/7 - 33/7*h - 6*h**2.
3*(h - 3)*(h + 1)**4/7
Let t(x) be the third derivative of 2*x**7/945 - 61*x**6/135 + 8*x**5/3 - 179*x**4/27 + 238*x**3/27 - 6*x**2 + 8*x - 9. Factor t(d).
4*(d - 119)*(d - 1)**3/9
Factor -1383*g - 193*g**3 - 983*g**2 + 216*g**4 + 83*g**4 - 594 - 298*g**4.
(g - 198)*(g + 1)**2*(g + 3)
Let o(y) be the second derivative of -1/30*y**6 + 0 + 0*y**2 + 13*y - 1/5*y**5 - 1/3*y**4 + 0*y**3. Factor o(s).
-s**2*(s + 2)**2
Let k(s) = -s**3 - 130*s**2 - 209*s + 1270. Let w(j) = -j**3 - 65*j**2 - 104*j + 620. Let a(b) = -4*k(b) + 9*w(b). Let a(t) = 0. Calculate t.
-10, -5, 2
Let j(q) be the first derivative of q**7/735 - q**6/420 - 2*q**5/105 + q**4/21 - q**2 - 19*q - 26. Let l(d) be the second derivative of j(d). Factor l(t).
2*t*(t - 2)*(t - 1)*(t + 2)/7
Find s such that -260*s + 66*s**4 - 4*s**5 - 412*s + 1921*s**3 - 360 - 1747*s**3 + 6*s**5 - 202*s**2 = 0.
-30, -3, -1, 2
Let p(i) be the second derivative of i**5/5 + 268*i**4/3 - 1078*i**3/3 + 540*i**2 - 3*i - 78. Factor p(n).
4*(n - 1)**2*(n + 270)
Let v(a) = -144*a + 4. Let m(b) = 145*b - 3. Let l(g) = 5*m(g) + 4*v(g). Let z be l(2). Factor 33*d + 0*d**3 - 60*d**2 + 268*d + 2*d**3 + z*d - 2000.
2*(d - 10)**3
Let k be (-175)/(-154) + 32/88. Factor -9*m**2 + 48 + k*m**4 - 48*m + 15/2*m**3.
3*(m - 2)*(m - 1)*(m + 4)**2/2
Let p(z) = -17*z**2 + 96*z + 391. Let t(o) = 37*o**2 - 186*o - 781. Let g(c) = 22*p(c) + 10*t(c). Factor g(y).
-4*(y - 66)*(y + 3)
Let l be (165/(-10))/((-5841)/708). Factor -4/23*h**l + 0*h + 0 - 2/23*h**4 + 6/23*h**3.
-2*h**2*(h - 2)*(h - 1)/23
Let w(m) be the second derivative of -m**5/20 - 5*m**4/3 - 39*m**3/2 - 81*m**2 - 115*m + 7. Solve w(n) = 0 for n.
-9, -2
Let g(i) be the second derivative of 0 - 7/30*i**5 + 8/3*i**2 + 1/45*i**6 + i**4 - 20/9*i**3 - 51*i. Solve g(o) = 0.
1, 2
Let u be (-14784)/(-4284) - (-6)/(-51). Let y(c) be the first derivative of -5/4*c**4 + 10*c**2 - u*c**3 - 20 + 40*c. Let y(r) = 0. What is r?
-2, 2
Let u = -46 + 48. Factor -1260 + 19*k + 5*k**u + 16*k + 1110.
5*(k - 3)*(k + 10)
Let k = -173 + 175. What is y in -44*y**3 + 20 - 18*y**4 + 14*y**3 + 23*y**4 - 60*y + 65*y**k = 0?
1, 2
Let v(r) = 2*r**3 - 47*r**2 + 25*r - 43. Let g(m) = 30*m - 7. Let s be g(1). Let n be v(s). Factor 0 + 3/5*k**n + 3/5*k**2 - 6/5*k.
3*k*(k - 1)*(k + 2)/5
Let a(p) = -3*p**4 + 3*p**2 - 6*p. Let z be -4 - (-5 - 2) - -3. Let f(l) = -6*l**4 + l**3 + 7*l**2 - 13*l. Let t(g) = z*f(g) - 13*a(g). Factor t(o).
3*o**2*(o + 1)**2
Let i(x) = -253*x - 12903. Let l be i(-51). Solve 0 + 0*h + 6/25*h**5 + l*h**2 + 24/25*h**3 + 74/25*h**4 = 0.
-12, -1/3, 0
Let m(o) be the third derivative of o**5/120 + 371*o**4/48 - 31*o**3 + 61*o**2 + 2*o. Factor m(q).
(q - 1)*(q + 372)/2
Let g(r) = -8*r**2 - 12*r + 8. Let m(y) = -y**3 - y**2 - y + 1. Let d(b) = -16*b + 12. Let x be d(0). Let q(w) = x*m(w) - 2*g(w). Suppose q(t) = 0. Calculate t.
-1, 1/3, 1
Let d(u) be the third derivative of 1/6*u**3 - 1/45*u**6 + 1/672*u**8 - 26*u**2 + 13/144*u**4 + 0 - 1/180*u**5 + 0*u - 1/315*u**7. Find i, given that d(i) = 0.
-1, -2/3, 1, 3
Factor -35/3*h + 106/9 - 1/9*h**2.
-(h - 1)*(h + 106)/9
Let q(y) = 135*y**2 + 45*y. Let j be q(-4). Factor -3*v**2 - 2420 - 15*v**2 - 387*v**2 - j*v.
-5*(9*v + 22)**2
Let d = 239 + -231. Let a(t) = t**3 - 6*t**2 - 19*t + 27. Let j be a(d). Factor 18/5*z**2 + 4/5 - 2*z**j - 14/5*z + 2/5*z**4.
2*(z - 2)*(z - 1)**3/5
Let w = -724 - -728. Let v(h) = 5*h**2 - 40*h + 200. Let u(z) = 41 + 159 + 3*z**2 + 3*z**2 - 40*z. Let i(q) = w*v(q) - 3*u(q). Suppose i(x) = 0. What is x?
10
Suppose 0 = 6*g + g - 21. Suppose 45 = 4*i - 3*a, g*i + 4*a = 7*a + 30. Let -10*l + i*l + l**2 - 15*l + 25 = 0. What is l?
5
Let p(u) be the second derivative of u**5/4 - 65*u**4/6 + 625*u**3/6 - 250*u**2 - 2*u - 4571. Find s, given that p(s) = 0.
1, 5, 20
Let n(r) be the third derivative of -r**6/30 + 17*r**5/5 + 53*r**4/3 + 8*r**2 - 134. Factor n(b).
-4*b*(b - 53)*(b + 2)
Let i(o) be the first derivative of -4*o - 1/12*o**3 + 34 + 17/8*o**2. Factor i(h).
-(h - 16)*(h - 1)/4
Let q(c) = -3*c**2 + 102*c - 177. Let w(f) = 6*f**2 - 201*f + 351. Let v(y) = 9*q(y) + 5*w(y). Factor v(m).
3*(m - 27)*(m - 2)
Let c(s) = s**3 - 28*s**2 - 29*s + 4. Suppose 1838*b - 145 = 1833*b. Let q be c(b). Determine l so that 0 - 6*l**3 - l**4 + 8/5*l + 7/5*l**5 + q*l**2 = 0.
-2, -2/7, 0, 1, 2
Let y(q) be the first derivative of -42/5*q**3 + 2/25*q**5 - 3/5*q**4 - 108/5*q**2 + 177 + 0*q. Solve y(d) = 0 for d.
-3, 0, 12
Let w(d) be the second derivative of -2*d**5/15 - 31*d**4/9 + 106*d**3/9 + 68*d**2/3 + 4086*d. Find i, given that w(i) = 0.
-17, -1/2, 2
Let l be 2/4*6 + -1. Let f(t) = -t**2 - 2*t + 122. Let j be f(10). Factor 608*n**l - 61