5/240 - 3*k**4/32 + 40*k**2 - 2*k - 1. Let u(t) be the first derivative of b(t). Factor u(f).
-f*(f - 9)*(f - 1)*(f + 1)/4
Let o(l) be the second derivative of -l**6/6 - 3*l**5/4 + 25*l**4/12 + 5*l**3/2 - 10*l**2 + 1278*l. Let o(t) = 0. Calculate t.
-4, -1, 1
Let w(p) be the first derivative of -3/2*p**2 + 3/4*p**4 - 5/3*p**3 - 44 + 1/5*p**5 + 4*p. Factor w(t).
(t - 1)**2*(t + 1)*(t + 4)
Let t(c) = -c**2 + c. Let h(i) be the third derivative of -1/3*i**5 - 21*i**2 + 5/24*i**4 + 0 + 10/3*i**3 + 0*i. Let r(f) = h(f) - 25*t(f). Factor r(d).
5*(d - 2)**2
Let t be (8 - (-84)/(-9))*(-66)/4. Let x = t - 20. Let -x*c**2 + 6*c**2 - 63 + 8*c + 26 + 25 = 0. What is c?
-3, 1
Suppose -3*w + 84 = -27. Suppose -9*r**5 - 18*r**3 - 26*r**5 + w*r**5 = 0. Calculate r.
-3, 0, 3
Find y such that 684841 + 2238*y - 294*y + 2*y**2 - 212449 = 0.
-486
Let k(z) be the third derivative of -3*z**7/56 - 25*z**6/24 + 53*z**5/24 - 15*z**4/8 + 9*z**3 - 16*z**2. Let m(b) be the first derivative of k(b). Factor m(f).
-5*(f + 9)*(3*f - 1)**2
Let x(s) be the second derivative of -s**5/100 - 49*s**4/30 + 33*s**3/10 + 2*s + 500. Factor x(d).
-d*(d - 1)*(d + 99)/5
Suppose -23 = -5*w + 2, -3*m = w - 17. Let v be (m/1)/((-126)/(-90)). Solve 0 - 6/7*p**5 - 4/7*p**2 - 18/7*p**3 + 0*p - v*p**4 = 0.
-2, -1, -1/3, 0
Let k(n) be the third derivative of -n**6/40 + 27*n**5/10 + 175*n**4/8 - 114*n**3 + n**2 - 5439*n + 1. Factor k(l).
-3*(l - 57)*(l - 1)*(l + 4)
Let t(x) be the third derivative of 0*x + 1/2*x**4 + 1/150*x**6 + 2 + 64*x**2 + 6/5*x**3 + 7/75*x**5. Find d, given that t(d) = 0.
-3, -1
Find x, given that 1/4*x**3 + 882 - 41/2*x**2 + 399*x = 0.
-2, 42
Let x be (8 - (-21)/(-2))*(-492)/(-1435) - (-27)/7. Suppose -41/2*n + 35/2*n**2 + x = 0. What is n?
6/35, 1
Let f be 20/(-5 + 3)*6/12. Let l(o) = -o**2 + 2*o + 1. Let b(n) = -4*n**2 + 3*n + 17. Let m(h) = f*l(h) + b(h). Suppose m(a) = 0. Calculate a.
3, 4
Let s = 244 + -228. Let a(o) = o - 12. Let j be a(s). Factor 8/3*c**3 + 0*c**2 - 8/3*c - 4/3*c**j + 4/3.
-4*(c - 1)**3*(c + 1)/3
Let b(p) be the first derivative of 9*p**5/25 + 103*p**4/4 + 983*p**3/5 + 4761*p**2/10 + 918*p/5 + 1142. Determine m, given that b(m) = 0.
-51, -3, -2/9
Let l(r) = -3*r**3 - r**2 + 2. Let g be l(-1). Let -25*c**2 + 1520*c + 1 + 3 - 1515*c - g = 0. Calculate c.
0, 1/5
Solve -354 - 60*h + 475*h + 262 - 5*h**2 - 765 - 343 = 0 for h.
3, 80
Let a(t) be the second derivative of -13*t**4/42 + 1532*t**3/21 + 236*t**2/7 + 4761*t. What is s in a(s) = 0?
-2/13, 118
Suppose 6*m - 52 = 2*m. Suppose 52*y - 292 = 48*y. Factor 54*f**2 - y*f + 6 + m*f - 13*f**3 + 2.
-(f - 2)**2*(13*f - 2)
Suppose 13 = 3*d - 130*v + 126*v, d = -3*v. Let j(z) be the second derivative of -12*z + 1/30*z**d + 0 + 4/5*z**2 - 7/60*z**4. Factor j(b).
-(b + 1)*(7*b - 8)/5
Let c(n) be the second derivative of -n**5/20 + 9*n**3/2 + 27*n**2/2 - 9*n. Let j(p) be the first derivative of c(p). Determine i, given that j(i) = 0.
-3, 3
Let j = 5 - 3. Let k(h) = 9*h**2 - 69*h - 21. Let i be k(10). Factor -3*m + 0*m**4 - 9*m**3 - i*m**j + 3*m**4 + 198*m**2.
3*m*(m - 1)**3
Let u = -881 - -1751. Solve -t - u*t**4 + t + 867*t**4 = 0 for t.
0
Let v(l) = 5*l + 12. Let i be v(6). Suppose 3*p = 2*b + 2*p - i, -3*b - 3*p = -72. Factor b*d**2 - 5*d**5 + 3*d**2 - 5*d**4 + 15*d**3 + 29*d - 19*d.
-5*d*(d - 2)*(d + 1)**3
Let w(j) be the second derivative of -j**7/70 - j**6/20 + 7*j**5/20 - j**4/2 - 71*j**2 + 34*j. Let f(c) be the first derivative of w(c). Factor f(i).
-3*i*(i - 1)**2*(i + 4)
Suppose 3*h - 54*g = -53*g + 70, 0 = 4*h + 3*g - 102. Let f be -6 - -16*12/h. Solve 2*o + 1/5*o**f + 8/5 - 1/5*o**3 = 0 for o.
-2, -1, 4
Let n(d) be the second derivative of d**7/2520 - d**6/90 + 2*d**5/15 + 3*d**4/4 - 2*d. Let o(i) be the third derivative of n(i). Find f, given that o(f) = 0.
4
Let x(v) be the second derivative of -7*v**2 - 2*v - 1/12*v**4 - 5/2*v**3 + 68. Suppose x(n) = 0. What is n?
-14, -1
Let f(z) be the third derivative of -z**7/630 - z**6/24 + 6*z**5/5 + z**2 - 773*z + 2. Find p, given that f(p) = 0.
-24, 0, 9
Let n be (130/78)/(-5) - 3/(-9). Factor 16/15*w - 2/3*w**3 + 12/5*w**2 + n.
-2*w*(w - 4)*(5*w + 2)/15
Let k = 679272 + -7471674/11. Factor 0 + 0*u + k*u**3 + 12/11*u**2.
6*u**2*(53*u + 2)/11
Let y(u) be the first derivative of 1/2*u**4 - 2/5*u**3 + 0*u**2 + 0*u + 24 - 2/25*u**5 - 1/15*u**6. Solve y(f) = 0 for f.
-3, 0, 1
Suppose 311 = 19*k - 23*k - 5*o, o = 5. Let f be (0 + 2)*(1743/k - -21). Factor 1/6 - f*q + 1/3*q**2.
(q - 1)*(2*q - 1)/6
Let r(o) = 126*o**3 + 394*o**2 + 20*o - 526. Let s(f) = -2*f**4 - 129*f**3 - 393*f**2 - 22*f + 525. Let w(k) = 3*r(k) + 2*s(k). Suppose w(q) = 0. What is q?
-2, 1, 33
Let o be ((-12)/(-60) - 71/(-20))/3. Let f be (-7 - (-3)/3)/((-8)/10). Solve -o*s**2 - 45/4 + f*s = 0 for s.
3
What is v in 1401 - 1689 - 59*v**3 + 53*v**3 + 1150*v - 856*v**2 = 0?
-144, 1/3, 1
Suppose -222*g + 233*g = 44. Factor 1078 + g*i**4 + 100*i**2 - 108*i - 492 - 546 - 36*i**3.
4*(i - 5)*(i - 2)*(i - 1)**2
Suppose -4*h - 3*l = -19, 5*h - 13 - 9 = -2*l. Let q = h - -3. Solve 0*r + q*r**3 + 3*r - 11*r**3 + r = 0 for r.
-1, 0, 1
Let k(x) be the first derivative of x**6/480 + 17*x**5/40 + 289*x**4/8 + 4913*x**3/3 + 137*x**2/2 - 10. Let z(i) be the second derivative of k(i). Factor z(u).
(u + 34)**3/4
Find u such that 918803*u**2 - 918843*u**2 + 96 - 18*u - 4*u**3 - 34*u = 0.
-8, -3, 1
What is n in 915*n - 1389 + 3*n**3 + 357 + 576 - 462*n**2 = 0?
1, 152
Let m(u) be the first derivative of -17*u**2 + 478*u - 716. Let y be m(14). Find v, given that -94/3*v**y + 14/3*v**3 + 8 + 56/3*v = 0.
-2/7, 1, 6
Let t = -2899 - -8705/3. Let y(k) be the first derivative of 7/2*k**4 - 17 + 8/5*k**3 + 0*k + t*k**5 + 4/15*k**2. Factor y(g).
2*g*(4*g + 1)*(5*g + 2)**2/15
Let t be ((-57)/27 - -2)/(1253/(-48) + 26). Factor -6/5 - t*p + 2/15*p**2.
2*(p - 9)*(p + 1)/15
Let l(q) be the first derivative of -q**4/7 + 48*q**3/7 + 230*q**2/7 + 312*q/7 - 10731. Factor l(i).
-4*(i - 39)*(i + 1)*(i + 2)/7
Let w(u) = 11*u**3 - 268*u**2 + 5431*u + 43206. Let f(b) = 9*b**3 - 270*b**2 + 5433*b + 43209. Let h(k) = -4*f(k) + 3*w(k). Factor h(m).
-3*(m - 49)**2*(m + 6)
Factor 200/7*s - 208/7 - 44/7*s**2 - 2/7*s**3.
-2*(s - 2)**2*(s + 26)/7
Let h(g) be the third derivative of -g**5/12 + 55*g**4/4 - 2065*g**3/6 - 64*g**2 + 4*g. Solve h(p) = 0 for p.
7, 59
Let -918*q - 2*q**2 + 4013315 - 12942853 - 97*q - 4346*q - 3091*q = 0. Calculate q.
-2113
Let o(j) be the first derivative of -j**4/12 + 98*j**3/9 - 32*j**2 + 4049. Find i, given that o(i) = 0.
0, 2, 96
Let k(c) be the third derivative of -3/100*c**5 + 1/75*c**6 + 4*c + 0 + c**2 - 1/1050*c**7 - 3/20*c**4 + 0*c**3. Determine v, given that k(v) = 0.
-1, 0, 3, 6
Suppose 43*o - 28 = 144. Let s(t) be the first derivative of -10/13*t - 2/13*t**3 + 27 + 1/26*t**o - 9/13*t**2. Suppose s(u) = 0. What is u?
-1, 5
Let i(h) be the third derivative of -h**6/540 - 97*h**5/30 - 15914*h**4/9 - 190096*h**3/27 + h**2 - 670*h. Factor i(x).
-2*(x + 1)*(x + 436)**2/9
Let g(j) = 120*j**5 - 15*j**4 + 10*j**3 - 5*j - 5. Let h(b) = -180*b**5 + 23*b**4 - 16*b**3 + 8*b + 8. Let r(z) = -8*g(z) - 5*h(z). Suppose r(q) = 0. What is q?
0, 1/12
Factor 0 - 845/2*v**2 - 5/2*v**4 + 215*v**3 + 210*v.
-5*v*(v - 84)*(v - 1)**2/2
Suppose -1042086*g = -1042132*g + 138. Find p, given that -2/3*p**4 + 2/3*p - 2/3*p**g + 0 + 2/3*p**2 = 0.
-1, 0, 1
Suppose -5*j + 10*j = 4*z + 2, 4*j + z = 10. Let -8*y**3 + 3*y**3 + 438*y**j + 20*y - 358*y**2 - 20*y**4 = 0. Calculate y.
-2, -1/4, 0, 2
Let i be 475/(-20)*(-36)/342. Find b, given that 20 - 45/2*b + i*b**2 = 0.
1, 8
Let o(d) = 204*d - 7342. Let b be o(36). Find c, given that 2/11*c**4 + 0 - 6/11*c**3 + 4/11*c**b + 0*c = 0.
0, 1, 2
Let m = -2/377873 - 104670299/98624853. Let i = -5/29 - m. Factor 2/3 + 2/9*f**2 - i*f.
2*(f - 3)*(f - 1)/9
Suppose -14*l - 128 = -16*l. Suppose -l*x - 66 = -86*x. Factor -4*a**2 + 2/3 - 28/3*a**x - 2*a**5 + 2/3*a - 22/3*a**4.
-2*(a + 1)**4*(3*a - 1)/3
Let z(q) be the third derivative of 199*q**2 + 1/3*q**4 + 0 + 0*q**3 - 11/30*q**6 + 0*q + 1/3*q**5 + 8/105*q**7. Factor z(t).
4*t*(t - 2)*(t - 1)*(4*t + 1)
Suppose -2*l + 28 = 3772*t - 3773*t, 68 = 4*t + 4*l. Solve 4500 + 1/6*q**3 + 450*q + 15*q**t = 0.
-30
Factor 23/4*a**3 - a - 20 + 15*a**2 + 1/4*a**4.
(a - 1)*