134/5 + 6/5*w**2 = 0. Calculate w.
-21, -9
Let l(t) be the second derivative of t**6/1620 - t**5/270 - t**4/36 - 13*t**3/2 + 4*t + 2. Let m(q) be the second derivative of l(q). Factor m(c).
2*(c - 3)*(c + 1)/9
Let r = 7/5 + 1/10. Suppose 0 = 3*k - d - 20, 17*k - 17*k = -2*d - 10. Factor 3*b**3 - r*b - 3/2*b**k + 0*b**4 + 0*b**2 + 0.
-3*b*(b - 1)**2*(b + 1)**2/2
Solve 1784/7*v**2 + 1788/7*v**3 - 1788/7*v - 1786/7 + 2/7*v**4 = 0.
-893, -1, 1
Let w(n) be the second derivative of -n**5/20 + 3*n**4/4 - 5*n**3/2 + 52*n**2 - 10*n. Let c(t) be the first derivative of w(t). Factor c(h).
-3*(h - 5)*(h - 1)
Let b(i) be the first derivative of 92*i**3 - 30*i**5 + 60*i**2 - 54 + 16*i + 65/2*i**4. Suppose b(o) = 0. Calculate o.
-2/5, -1/3, 2
Let i(b) be the first derivative of -b**6/18 - 6*b**5/5 - 25*b**4/12 + 12*b**3 - 32*b**2/3 + 3053. Suppose i(g) = 0. Calculate g.
-16, -4, 0, 1
Let b(s) = 152*s + 324. Let z(v) = 77*v + 162. Let d(x) = -2*b(x) + 5*z(x). Let j be d(-2). Factor 0*c**3 + j*c - 2/7*c**2 + 2/7*c**4 + 0.
2*c**2*(c - 1)*(c + 1)/7
Let p(u) be the second derivative of -u**7/42 - u**6/5 - u**5/5 + u**4/2 + 5*u**3/6 - 1259*u. Factor p(t).
-t*(t - 1)*(t + 1)**2*(t + 5)
Factor 55/2 - 1/4*x**2 + 53/4*x.
-(x - 55)*(x + 2)/4
Let l(w) be the third derivative of w**6/780 - 61*w**5/390 + 44*w**4/39 - 116*w**3/39 - 701*w**2. Suppose l(h) = 0. What is h?
1, 2, 58
Let q(f) be the third derivative of 1/220*f**6 - 10/11*f**3 - 7/44*f**4 + 0 - 31*f**2 + 2/55*f**5 - f. Factor q(s).
6*(s - 2)*(s + 1)*(s + 5)/11
Let k(a) be the second derivative of -a**5/30 - 11*a**4/12 - 15*a**3/2 - 19*a - 5. Factor k(d).
-d*(d + 9)*(2*d + 15)/3
Let q(u) be the first derivative of u**6/100 + 2*u**5/75 + u**4/60 - 49*u**2/2 - 28. Let b(x) be the second derivative of q(x). Factor b(t).
2*t*(t + 1)*(3*t + 1)/5
Let m(r) be the second derivative of 1/16*r**4 - 21/4*r**2 - 13/8*r**3 - 16 + 3*r. Factor m(g).
3*(g - 14)*(g + 1)/4
Let g(l) be the second derivative of -1/6*l**3 + 0 - 1/5*l**2 + 2/75*l**6 - 1/30*l**4 + 1/210*l**7 + 1/25*l**5 - 167*l. Factor g(z).
(z - 1)*(z + 1)**3*(z + 2)/5
Let d be (10 + (-2385)/240)*20/6. Let t(v) be the third derivative of 12*v**2 - 1/6*v**5 + 0 + 0*v - d*v**4 + 0*v**3 - 1/24*v**6. Find l, given that t(l) = 0.
-1, 0
Factor -890*k - 55177*k**2 + 27591*k**2 + 27591*k**2.
5*k*(k - 178)
Let o(h) = -45*h**2 - 624*h + 773. Let m(d) = -7*d**2 - 104*d + 127. Let v(z) = -39*m(z) + 6*o(z). Factor v(q).
3*(q - 1)*(q + 105)
Suppose 2*k - r - 16 = 0, -3*k + 4*r = -7 - 12. Determine z so that -40*z + z + 39*z**3 - 20*z**2 - 34*z**2 - k*z**2 - 28*z**4 + 66 + 25*z**4 = 0.
-1, 1, 2, 11
Suppose -3*n - 2*n + 10 = 0. Suppose -8*r + 12 + 4 = 0. Find j, given that -2*j + r*j + 0*j**3 - 8*j**n + 4*j**3 = 0.
0, 2
Let j = -302569/5 - -60515. Suppose j*d**3 + 1/5*d**5 + 0*d + 2/5*d**2 + 9/10*d**4 + 0 = 0. What is d?
-2, -1/2, 0
Factor 1004/3*n + 20667*n**4 + 4/3 + 41666*n**3 + 63997/3*n**2.
(n + 1)**2*(249*n + 2)**2/3
Let z(a) be the third derivative of a**6/120 + a**5/4 + 25*a**4/12 + 4*a**2 + 36*a. Determine j so that z(j) = 0.
-10, -5, 0
Suppose -5*j = -3*v - 91, -j - 2*j + 51 = -3*v. Determine d so that 4*d**2 - 10*d - 9*d**2 - j*d - 40 = 0.
-4, -2
Let k = 1 - -19. Find o such that -42*o + k - 22*o**3 - 13*o**3 - 95*o**2 + 2*o = 0.
-2, -1, 2/7
Let u(b) be the third derivative of 0*b + 1/784*b**8 + 1/490*b**7 + 0 + 0*b**3 + 0*b**4 - 1/140*b**6 + 0*b**5 - 58*b**2. Find d, given that u(d) = 0.
-2, 0, 1
Suppose 3*x - 4*r = 8, 5*x = -0*r - 2*r + 22. Suppose -30 = -x*h + 2*d, -65 = -5*h - 4*d + d. Factor -l**2 - 16 + 7*l**2 - 2*l**2 + 2*l + h*l.
4*(l - 1)*(l + 4)
Let g(j) = 16*j**4 - j**3 - j**2 - j. Let w(d) = 100*d**4 - 414*d**3 + 13434*d**2 - 182278*d + 884736. Let q(p) = -6*g(p) + w(p). Find u such that q(u) = 0.
16, 54
Determine b, given that 2227*b - 28264 - 5*b**2 - 29521 - 38958 - 3607*b + 1523 = 0.
-138
Let n(s) be the first derivative of -s**4 + 0*s**3 + 1/3*s**6 - 47 + 0*s**2 + 0*s - 2/5*s**5. Find p, given that n(p) = 0.
-1, 0, 2
Let o(f) = 57*f**4 - 438*f**3 + 3387*f**2 - 4974*f. Let b(h) = 12*h**4 - 88*h**3 + 678*h**2 - 995*h. Let v(p) = 24*b(p) - 5*o(p). Factor v(u).
3*u*(u - 5)*(u - 2)*(u + 33)
Let i(y) be the third derivative of 4*y**7/735 + 173*y**6/420 + 601*y**5/70 - 374*y**4/21 - 484*y**3/21 + 174*y**2 - 21. Find o, given that i(o) = 0.
-22, -1/4, 1
Suppose l - i + 1 = 0, -4*l + 0*i + 28 = 4*i. Determine k, given that 3*k**2 - k**3 + 5*k**3 - k**3 + 0*k**5 - l*k**5 - 3*k**4 = 0.
-1, 0, 1
Let z be (-204)/(-21) - 2/(-7). Let v be -3 + 1/2*z. Factor -18*i - 3*i**4 + 30*i**v + 2*i**4 - 10*i**3 - 4*i**3 + 3*i**4.
2*i*(i - 3)**2*(i - 1)
Let k(g) be the second derivative of g**6/30 - g**5/20 - 7*g**4/2 + 2*g + 12. Factor k(j).
j**2*(j - 7)*(j + 6)
Let x be ((-31844)/(-29330) - (-4)/(-14))/(-3 - 471/(-150)). Let -2/7*j**2 - x*j - 200/7 = 0. Calculate j.
-10
Let b = 95729/36 - 2660. Let r = b + 10/9. Factor -1/2*d**2 - 1/4*d**5 + 1/2*d**3 + 1/4*d**4 + r - 1/4*d.
-(d - 1)**3*(d + 1)**2/4
Let k be -3*20/6*(-5)/25. Factor 6*l**k - 9*l**3 + 3*l**5 - 2*l**2 - 10*l**2.
3*l**2*(l - 2)*(l + 1)**2
Let j(k) = k**3 + k**2 - 3*k - 4. Let w be j(-2). Let l be w - (185/(-35) + 2/7). Find q such that q - 7*q + 89*q**l - 87*q**3 + 4 = 0.
-2, 1
Let p = -3 - -6. Suppose -i + 2*i + w = 1, 0 = -4*w - 8. Factor -28*z - 3*z**i - p + 6*z + 13*z - 9*z**2.
-3*(z + 1)**3
Let k(g) = 2*g + 7. Let m be k(1). Suppose -4*v + m = -v. Find r such that 2*r**v + 12*r**2 + 19 - 69 - 14 = 0.
-4, 2
Let r = -358 - -361. Suppose 0 = 5*o + 2*p, r*o - 8*p - 21 = -5*p. Find j such that 0 + 1/5*j**3 - 3/5*j + 2/5*j**o = 0.
-3, 0, 1
Let j(g) be the second derivative of g**4/60 - 201*g**3/5 + 363609*g**2/10 - 122*g - 3. Suppose j(x) = 0. Calculate x.
603
Let c = 240 + -1919/8. Let n(o) be the second derivative of 0*o**2 - c*o**3 - 9*o + 0 - 3/16*o**4 - 9/80*o**5 - 1/40*o**6. Suppose n(r) = 0. Calculate r.
-1, 0
Let u(z) be the third derivative of z**6/40 - 97*z**5/20 + 12*z**4 - 2906*z**2. Find a, given that u(a) = 0.
0, 1, 96
Find o, given that -8/15*o**5 + 52/3*o**2 + 4246/15*o**3 - 212/3 - 344/15*o**4 - 3094/15*o = 0.
-53, -1/2, 1, 10
Let b(i) be the second derivative of i**5/5 + 197*i**4/3 - 796*i**3/3 + i + 295. Factor b(m).
4*m*(m - 2)*(m + 199)
Let x(f) be the first derivative of -f**5/20 - 57*f**4/16 + 29*f**3/6 + 2019. Determine j, given that x(j) = 0.
-58, 0, 1
Let o = -2011 - -2011. Let m(y) be the third derivative of 0 + 0*y - y**2 + o*y**3 + 1/36*y**4 + 1/90*y**5. Determine r, given that m(r) = 0.
-1, 0
Suppose 1/2*k**4 + 0 + 12*k**3 + 27*k - 79/2*k**2 = 0. What is k?
-27, 0, 1, 2
Let h(z) be the third derivative of -z**6/420 - z**5/14 - 9*z**4/28 - 13*z**3/21 - 905*z**2. Factor h(n).
-2*(n + 1)**2*(n + 13)/7
Let d(m) = m**3 - m**2 - 13*m + 132. Let i be d(0). Factor 16*s**3 + 16*s**3 - 82 - i*s + 130 - 84 - 61*s**2 - 3*s**4.
-(s - 6)**2*(s + 1)*(3*s + 1)
Let y(n) be the first derivative of 2*n**3/27 + 415*n**2/9 - 556*n/3 - 4231. Find z, given that y(z) = 0.
-417, 2
Let l(k) = -6*k - 40. Let x be l(-7). Factor 3*s**2 + 4*s + 0*s + 2*s**3 + 4*s + 5*s**x.
2*s*(s + 2)**2
Suppose -124*v + 69 = -101*v. Let t = -132 - -269/2. What is r in 5/2*r**2 - 10*r**v + 10*r - t = 0?
-1, 1/4, 1
Suppose 3*i = -6 - 6. Let w(h) = -17*h**4 - 139*h**3 + 67*h**2 + 79*h + 14. Let c(l) = -2*l**4. Let p(m) = i*c(m) - 2*w(m). Suppose p(g) = 0. Calculate g.
-7, -1/3, -2/7, 1
Find u, given that 1/3*u**4 - u**2 + 109/3*u + 74/3 - 37/3*u**3 = 0.
-1, 2, 37
Let n(k) be the second derivative of 5*k**4/12 - 685*k**3/6 + 587*k. Find w, given that n(w) = 0.
0, 137
Let m(y) be the first derivative of y**6/140 - y**5/420 - 2*y**2 + 2*y - 19. Let n(l) be the second derivative of m(l). Factor n(v).
v**2*(6*v - 1)/7
Determine v so that -282/5*v - 102/5*v**3 + 288/5*v**2 + 93/5 + 3/5*v**4 = 0.
1, 31
Suppose 0 = 5*m - 4*m + 9. Let a = 12 + m. Let 20*s**3 + 5*s**5 - 76*s**2 - 16*s**4 - 56*s - 3*s**5 - 4*s**5 - 70*s**a - 16 = 0. Calculate s.
-2, -1
Let a(w) = -13*w**2 - 63*w + 43. Let p(s) = -10*s**2 - 62*s + 45. Let i(d) = 4*a(d) - 5*p(d). Let n be i(28). Factor -20/11*r**2 - 2/11*r**n - 16/11 - 34/11*r.
-2*(r + 1)**2*(r + 8)/11
Let i(z) = -z + 18. Let a be i(-3). Suppose -14*f**2 + 5*f**3 + 24 + a*f**2 - 13*f**2 + 46*f - 27*f**2 = 0. What