or b(t).
(t - 3)**2*(t + 1)*(t + 5)
Let a(u) be the first derivative of -23/6*u**2 + 22/3*u + 1/9*u**3 - 113. Factor a(y).
(y - 22)*(y - 1)/3
Let i(r) be the second derivative of r**6/360 + 3*r**5/20 - 19*r**4/24 - r**3/6 - 20*r**2 - 28*r. Let c(y) be the second derivative of i(y). Factor c(a).
(a - 1)*(a + 19)
Let i(g) = -g**3 + 16*g**2 - 27*g - 8. Let f be i(14). Suppose 0 = -8*p + f*p + 4. Factor -5/4*w**p + 0*w + 0 + 25/4*w**3.
5*w**2*(5*w - 1)/4
Let h(v) be the third derivative of -v**9/15120 + v**7/360 - v**6/120 - 55*v**4/24 - 199*v**2. Let j(b) be the second derivative of h(b). Factor j(g).
-g*(g - 2)*(g - 1)*(g + 3)
Suppose -2*a = -5*l + 34, -2*a = -3*l + 7*l - 38. Let z be ((-9)/6)/(l/(-16)). Find b such that -54 + 54 + z*b**2 = 0.
0
Let d(h) be the third derivative of 2*h**7/525 + 71*h**6/600 + 3*h**5/4 - 20*h**4/3 + 50*h**3/3 - 33*h**2 + 2*h + 4. Determine o so that d(o) = 0.
-10, 1, 5/4
Let x(c) = 68*c**2 - 398*c + 380. Let p(f) = -88*f**2 + 531*f - 508. Let g(j) = 10*p(j) + 13*x(j). Find v, given that g(v) = 0.
-35, 1
Suppose 0 = 3*d - 4*f + 19, 346*d - 3*f + 12 = 343*d. Let q(b) be the first derivative of -112/3*b**2 - 1/4*b**4 + 50/9*b**d + 128/3*b - 4. Factor q(k).
-(k - 8)**2*(3*k - 2)/3
Let l = -631 - -631. Suppose -t + 0*y + 3*y = -13, l = 5*t + 2*y - 14. Find r, given that -1/2*r**t + 0*r**2 - 1/2*r**3 + 0*r + 0 = 0.
-1, 0
Let o(x) = -4*x - 1. Let k be o(-3). Suppose 4*n + 3 = k. Factor -51*m + 7*m**2 - n*m**2 + 46*m.
5*m*(m - 1)
Let f(u) be the first derivative of -3*u**4/4 - 9*u**3 + 15*u**2 - 935. Factor f(o).
-3*o*(o - 1)*(o + 10)
Let h(t) be the second derivative of t**7/63 + 16*t**6/45 + 4*t**5/5 - 160*t**4/9 + 400*t**3/9 - 2634*t. Let h(m) = 0. What is m?
-10, 0, 2
Factor g**3 - 392744 + 392718 - 37*g - 7*g**2 - 3*g**2.
(g - 13)*(g + 1)*(g + 2)
Suppose -93 = -2*j - 0*j - a, 2*a = 5*j - 228. Let s = -121 + 136. Factor -1 - 3*d**2 - s - 12 - 3*d**2 + j*d.
-2*(d - 7)*(3*d - 2)
Let r(u) be the first derivative of -9*u + 6 + 1/8*u**3 - 1/8*u**4 - 3/80*u**5 + 3/4*u**2. Let c(t) be the first derivative of r(t). Let c(g) = 0. Calculate g.
-2, -1, 1
Let t be (3/(-1) - -4) + (12 - -1). Let s be ((-14)/t)/((-1)/605). Factor 23*c**2 - 597*c**3 + 13*c**2 - 36*c**4 + s*c**3 - 8*c.
-4*c*(c - 1)*(c + 1)*(9*c - 2)
Suppose -30*m - 359 - 1753 = -97*m - 461*m. Let 36 - 4/3*g**m + 72*g**2 + 2/3*g**5 - 90*g - 52/3*g**3 = 0. Calculate g.
-6, 1, 3
Factor -4905/4*a + 701/2 - 7/4*a**2.
-(a + 701)*(7*a - 2)/4
Let j(k) be the first derivative of k**5/25 + 3*k**4/2 - 13*k**3/3 - 3*k**2 + 64*k/5 + 1145. Solve j(v) = 0.
-32, -1, 1, 2
Let w(j) = 9*j**3 + 256*j**2 + 521*j + 258. Let p(l) = -2*l**3 + l**2 - l. Let k(n) = 4*p(n) + w(n). Factor k(g).
(g + 1)**2*(g + 258)
Let c(r) be the second derivative of r**6/70 + 519*r**5/140 - 75*r**4/4 + 527*r**3/14 - 264*r**2/7 - 3539*r. Factor c(q).
3*(q - 1)**3*(q + 176)/7
Suppose -11*r = -31 - 79. Suppose 25*z - 20*z = r. Factor 307*s**z + 4*s**3 + 2*s**4 - 305*s**2 + 0*s**4.
2*s**2*(s + 1)**2
Let -3122*o**2 - 4948*o**2 - 4*o**4 - 2446*o**2 + 61394*o + 72766*o - 608400 + 344*o**3 = 0. Calculate o.
13, 30
Let z(o) be the third derivative of -o**7/280 + o**6/24 - o**5/10 - 17*o**3 - 121*o**2. Let c(n) be the first derivative of z(n). Solve c(y) = 0.
0, 1, 4
Let n(w) be the second derivative of -3*w**5/100 - 4377*w**4/20 - 6386043*w**3/10 - 9317236737*w**2/10 + 1072*w - 3. Solve n(h) = 0 for h.
-1459
Let w(y) be the third derivative of 1/140*y**6 + 1/42*y**4 - 1/1470*y**7 - y**2 + 0*y**3 - 3/140*y**5 + 0*y + 4. Factor w(o).
-o*(o - 4)*(o - 1)**2/7
What is u in -163/2*u**4 + 1/8*u**5 + 705911761/8*u + 79707/4*u**3 - 4330747/2*u**2 + 0 = 0?
0, 163
Let m be (60/70)/((-4)/(-14)). Factor -72*g + 1953 - 1953 + 36*g**4 + 8*g**m - 324*g**2.
4*g*(g - 3)*(g + 3)*(9*g + 2)
Factor -4232/7 - 2178/7*d**2 + 6072/7*d.
-2*(33*d - 46)**2/7
Let z(l) = 83*l**3 + 1126*l**2 + 163610*l + 9. Let c(w) = -9*w**3 + 2*w**2 - 2*w - 1. Let p(j) = -18*c(j) - 2*z(j). What is x in p(x) = 0?
-286, 0
Let b be 1/2*6/9. Let a = -23054/3 + 7688. Factor 0 + a*k**2 - 25/3*k - b*k**3.
-k*(k - 5)**2/3
Let l be 141966/(-45171)*(-28)/99. Factor -2/9*j**2 - 2/3 + l*j.
-2*(j - 3)*(j - 1)/9
Factor 6/7*o**2 + 4/7 + 2*o.
2*(o + 2)*(3*o + 1)/7
Let 23/7*t + 36/7 + 1/7*t**3 - 12/7*t**2 = 0. Calculate t.
-1, 4, 9
Let p be ((-6)/(-32))/(1364/(-372) + 15/4). Let i(t) be the first derivative of 0*t + 3/5*t**5 + 3/2*t**2 + 3*t**3 - 26 + p*t**4. Let i(j) = 0. What is j?
-1, 0
Let l = 1232117 + -6160568/5. Suppose -l*u + 16/5 + 1/5*u**2 = 0. What is u?
1, 16
Let r(p) be the first derivative of -1/4*p**4 - 64*p + 107 - 4*p**3 - 24*p**2. Factor r(l).
-(l + 4)**3
Suppose 0 = p + 4*h - 23, 6 = -h + 8. Factor -3*u**2 + 11*u**3 - 70*u + 12 + p*u**3 + 7*u**2 - 60*u**2.
2*(u - 3)*(u + 1)*(13*u - 2)
Let i be 48720/21315*35/3. Factor 8/3 - 12*v**3 + i*v**2 - 52/3*v.
-4*(v - 1)**2*(9*v - 2)/3
Suppose 18 = 2*g - 4*o, -2*o + 10 = g + 9. Let 31*n**3 - 24*n**2 - 225*n**g - 251*n**3 - 30*n**2 - 390*n**4 + 14*n**2 = 0. Calculate n.
-2/3, -2/5, 0
Let k = 31 + -10. Suppose 13*a - 6*a = k. Factor 5*r**4 + 48 - 5*r - 5*r**2 - 48 + 5*r**a.
5*r*(r - 1)*(r + 1)**2
Suppose 608*s - 5776*s**5 + 4 - 17480*s**4 + 18177*s**2 - 8671*s**2 + 13595*s**2 - 105*s**3 - 352*s**3 = 0. What is s?
-2, -1/76, 1
Let u be 0 + 1 - (-128 - -219). Let y be (-6)/(-5) + (16 - (-1368)/u). Let 0 + 3/2*w**4 + 3*w + 3/2*w**5 - 9/2*w**3 - 3/2*w**y = 0. Calculate w.
-2, -1, 0, 1
Let k(q) be the second derivative of q**6/105 - 6*q**5/7 + 198*q**4/7 - 2880*q**3/7 + 20736*q**2/7 + 381*q. Factor k(a).
2*(a - 24)**2*(a - 6)**2/7
Let a(k) be the first derivative of -k**7/21 + 7*k**6/10 + 29*k**5/30 - 3*k**4/2 + 46*k**2 - 18. Let h(o) be the second derivative of a(o). Factor h(b).
-2*b*(b - 9)*(b + 1)*(5*b - 2)
Suppose -24*t + 56 = -16*t. Let f be (2 + -2)/(t/(56/(-16))). Factor f - 4/9*o**3 + 4/9*o**4 + 0*o + 0*o**2.
4*o**3*(o - 1)/9
Let c(t) = -2*t**3 + 11*t**2 + 2*t - 24. Let h be c(5). Let r be (10/(-8))/(h/(-66)*5). Factor -9/2*v**2 + 3/2*v**4 + r*v**3 + 3 - 3/2*v.
3*(v - 1)**2*(v + 1)*(v + 2)/2
Let b(n) be the second derivative of -3*n**5/40 - 29*n**4/24 + n**3 + 5*n**2 + 21*n + 14. Factor b(f).
-(f - 1)*(f + 10)*(3*f + 2)/2
Suppose 4*c + w - 812 = 0, -w - 570 = -5*c + 445. Let r = 205 - c. Determine j so that -4/3*j**r + 0*j + 1/3*j**3 + 0 = 0.
0, 4
Solve 5*g**3 - 5*g**2 - 23*g + 11*g - 38*g + 40*g**3 = 0.
-1, 0, 10/9
Let h(k) be the third derivative of k**5/150 + 13*k**4/60 - 2*k**3 + k**2 - 494*k. Solve h(b) = 0.
-15, 2
Let n = -340 + 344. Factor 524*y**2 - n*y - 4*y - 528*y**2 + 96.
-4*(y - 4)*(y + 6)
Determine t so that -14885 + 5*t**4 + 260*t**3 - 10961 + 4320*t**2 - 23315 - 9159 + 19440*t = 0.
-18, 2
Suppose 0 = 2*k - 2*a - 32, 0 = -26*k + 27*k + 4*a - 51. Let g(h) be the second derivative of 4/7*h**3 + 1/28*h**4 + 0 + 18/7*h**2 + k*h. Factor g(y).
3*(y + 2)*(y + 6)/7
Factor 261*r**3 - 99/2*r**4 + 3/2*r**5 + 0 + 324*r - 498*r**2.
3*r*(r - 27)*(r - 2)**3/2
Suppose 3*k + 2*k = -10. Let d(y) = -5*y**3 - 2*y**2 - 3*y - 3. Let v be d(k). Factor -43*f**3 - 2*f**4 + 88*f**3 + v*f**2 + 10*f + 27*f**4 + 5*f**5.
5*f*(f + 1)**3*(f + 2)
Suppose -4954 = -11*p + 95. What is m in -p*m - 473*m - 27 + 904*m - m**2 = 0?
-27, -1
Let q(i) be the third derivative of 2*i**7/525 - 11*i**6/150 + 26*i**5/75 - 8*i**4/15 + 2914*i**2. Determine l so that q(l) = 0.
0, 1, 2, 8
Suppose -51*l**4 + 780*l**2 - 3*l**5 + 1116*l - 48*l**3 - 27*l**4 - 4*l**4 - 14*l**4 - 21*l**3 = 0. Calculate l.
-31, -2, 0, 3
Let s = 27889/139495 - -2/27899. Let 9/5 + 19/5*d - 18/5*d**3 - 11/5*d**4 + 2/5*d**2 - s*d**5 = 0. Calculate d.
-9, -1, 1
Let n be (-335)/6*213/(-710). Let m = n + -595/36. Factor -2/3*a**2 + 2/3*a**3 + m*a + 0 - 2/9*a**4.
-2*a*(a - 1)**3/9
Let a = 5232 + -5230. Let q(h) be the third derivative of 0*h + 1/120*h**5 - 1/12*h**3 - 10*h**a + 1/240*h**6 + 0 - 1/48*h**4. Solve q(y) = 0 for y.
-1, 1
Let b(h) be the first derivative of 5*h**4/4 - 250*h**3/3 - 1375*h**2/2 + 352. What is r in b(r) = 0?
-5, 0, 55
Let h = 295 + -288. Let y be (h/(252/8))/((-132)/(-297)). Find v, given that -5/2*v**2 - 2*v - y*v**3 + 0 = 0.
-4, -1, 0
Let t(b) = 29*b**2 + 41*b**2 - 84*b**2 - 22 + 508*b. Let y(m) = 2*m**2 - 73*m + 3. Let a(i) = 6*t(i) + 44*y(i). Suppose a(o) 