15)*(-6)/16). Let m(v) be the first derivative of -1/2*v**2 + 36 - 13/3*v**3 + z*v + 1/4*v**4. Solve m(y) = 0.
-1, 1, 13
Let q(r) be the third derivative of -1 + 0*r - 28*r**2 + 0*r**4 - 1/40*r**5 - 7/480*r**6 + 0*r**3 - 1/840*r**7. Let q(l) = 0. What is l?
-6, -1, 0
Let k(w) be the third derivative of w**5/450 - w**4/20 - 44*w**3/9 + 1057*w**2. Factor k(b).
2*(b - 20)*(b + 11)/15
Let g(w) be the third derivative of 23*w**2 + 4/3*w**3 + 0 - 31/90*w**5 - 10/9*w**4 - 1/45*w**6 + w. Factor g(v).
-2*(v + 2)*(v + 6)*(4*v - 1)/3
Factor 0 + 2/9*m**2 + 200/9*m.
2*m*(m + 100)/9
Let f(d) = -d**2 - 215*d - 10415. Let s(b) = b**2 + 216*b + 10416. Let w(n) = -12*f(n) - 11*s(n). Solve w(g) = 0.
-102
Let m(t) be the third derivative of -t**7/105 + t**6/4 - 61*t**5/30 + 7*t**4/4 + 98*t**3/3 + 633*t**2. Factor m(c).
-2*(c - 7)**2*(c - 2)*(c + 1)
Let p(h) = -270*h + 81. Let i be p(-1). Let z = 354 - i. Suppose 2/19*y**z - 4/19 + 4/19*y**2 - 2/19*y = 0. Calculate y.
-2, -1, 1
Let s(l) be the first derivative of -l**5 - 35*l**4 - 265*l**3/3 - 65*l**2 - 13655. Solve s(a) = 0.
-26, -1, 0
Let n(l) be the second derivative of 0 - 3*l**4 - 12*l**3 - 25*l - 10/9*l**6 + 2/21*l**7 + 21/5*l**5 + 0*l**2. Factor n(f).
4*f*(f - 3)**3*(3*f + 2)/3
Determine l, given that -100*l**3 + 540 + 3*l**4 + 12*l**5 - 4*l**3 - 5*l**5 - 180*l**2 - 5*l**5 + 486*l + 21*l**4 = 0.
-15, -2, -1, 3
Let v(z) be the first derivative of 8/3*z + 2/3*z**2 - 1/12*z**4 - 2/9*z**3 - 16. Find h, given that v(h) = 0.
-2, 2
Let n(b) be the second derivative of 49*b**4/5 + 107*b**3/15 + 3*b**2/5 - 7*b + 2. Find x such that n(x) = 0.
-1/3, -3/98
Let y(t) be the first derivative of 16*t**4/3 + 80*t**3/9 - 21*t**2/2 - 27*t - 294. Solve y(a) = 0.
-9/8, 1
Let u(s) = 30*s**2 + 68*s - 50. Let y(i) = 150*i**2 + 349*i - 251. Let c(r) = 31*u(r) - 6*y(r). Let c(f) = 0. Calculate f.
-22/15, 1
Suppose -4*s + 71 = 207. Let x = 37 + s. Determine c so that -68*c - 45*c**x - 24*c**2 - 28*c**4 + 70*c + c**3 + 4 - 6*c**5 = 0.
-2, -1, 1/3
Let q be (5 - 9 - -11) + -1 + -3. Factor -309*f - 100 + 92*f**3 - 371*f - 1085*f**2 + 153*f**q.
5*(f - 5)*(7*f + 2)**2
Let g(z) = -8*z**3 - 72*z**2 - 160*z + 249. Let a(s) = s**3 - s**2 - 3. Let q(m) = 3*a(m) + g(m). What is y in q(y) = 0?
-12, -4, 1
Let i(b) be the second derivative of -2/9*b**4 + 1/63*b**7 + 4/9*b**3 + 0*b**2 + 2/45*b**6 - 106*b + 0 - 1/10*b**5. Factor i(f).
2*f*(f - 1)**2*(f + 2)**2/3
Let y = -550/9 - -2551/36. Let m = -2310755/4 - -1155379/2. Factor m*o**4 - 27*o + 36*o**2 + 0 - y*o**3.
3*o*(o - 6)**2*(o - 1)/4
Let u = 325340/13 - 25026. What is i in -282/13*i**2 - u*i**4 - 4*i**3 + 56*i - 392/13 = 0?
-14, 1
Suppose 72*v - 43*v = 116. Let h be (18/15)/(4*v/40). Solve 0 + 1/4*l**h + 1/4*l - 1/2*l**2 = 0 for l.
0, 1
Let b(l) be the first derivative of 75 + 5/14*l**4 - 8/7*l**2 + 0*l + 4/7*l**3. Factor b(s).
2*s*(s + 2)*(5*s - 4)/7
Let t be (8355/195 - 43) + (-4012)/(-390). Factor 2/15*q**2 + t*q + 2888/15.
2*(q + 38)**2/15
Let j(c) be the third derivative of -22*c**7/105 - 389*c**6/90 - 14*c**5/5 + 2110*c**2. What is z in j(z) = 0?
-126/11, -1/3, 0
Let d be (-48)/(-14) + 231/(-539). Factor -36*b - 70*b**2 + 10*b**2 - 9*b**d - 3*b**4 - 13*b**3 - 5*b**3.
-3*b*(b + 1)*(b + 2)*(b + 6)
Let a(g) = -g**3 + 27*g**2 - 19*g - 75. Let b be a(26). Suppose -53*f**2 - 52*f**2 + 14*f - 32 - 2*f + b*f**2 = 0. Calculate f.
-8, 2
Suppose -14*r + 9*r = -300. Let w be ((-15)/r)/((-3)/48). Let -3/4*o - 1/4 + 5*o**2 - 16*o**w + 12*o**3 = 0. What is o?
-1/4, 1/4, 1
Let a = -180571/9 + 20067. What is n in 8/9*n - 4/9*n**2 + a = 0?
-2, 4
Factor -10*u - 4*u**2 - 73583 + 526*u - 220181 - 328*u + 1980*u.
-4*(u - 271)**2
Suppose -136 = 2*y - d - 153, 28 = -2*y - 4*d. Factor 0*v**2 - 1/2*v**4 + 0 + 0*v + y*v**3.
-v**3*(v - 8)/2
Let q(b) = 4*b + 34. Let i be q(-8). Let r be (-10)/(-6) - (-156)/(-117). Factor 5/3*a**i + r*a**3 + 7/3*a + 1.
(a + 1)**2*(a + 3)/3
Let b = 1789/8970 + 1/1794. Factor -b*q**3 - 3/5 + q - 1/5*q**2.
-(q - 1)**2*(q + 3)/5
Let j(y) be the first derivative of y**5 + 5*y**4/2 - 25*y**3/3 - 15*y**2 + 1533. Find m such that j(m) = 0.
-3, -1, 0, 2
Factor 39*p**2 - p - 107*p + 37*p**2 - 1911 - 73*p**2.
3*(p - 49)*(p + 13)
Let q = -4 - -9. Let p = 453 + -448. Find l, given that 3*l - l**3 + 43*l**p - l**3 + 0*l**4 + 2*l**2 + 1 - 44*l**q - 3*l**4 = 0.
-1, 1
Let n be (18/(-60))/(18/(-40)). Let s(r) be the second derivative of 1/5*r**5 - 2/3*r**4 + 0*r**2 + 7*r + n*r**3 + 0. Determine o so that s(o) = 0.
0, 1
Suppose -4*i + 5*z + 105 = 0, 5*i + 7*z - 115 = 10*z. Let n = -2 + i. Solve 2*f**4 - 14*f**3 + 30*f**2 - 3841 - n*f + 3841 = 0.
0, 1, 3
Let h(i) be the first derivative of 270 + 12/11*i**3 - 4/11*i**4 - 4/55*i**5 - 9/11*i**2 + 0*i + 1/33*i**6. What is r in h(r) = 0?
-3, 0, 1, 3
Let h = -172 - -174. Find g, given that 2*g**2 + 72 + 4*g**2 - 6*g**2 - 44*g + g**2 + 3*g**h = 0.
2, 9
Let j(b) = 38*b**3 + 820*b**2 - 351*b + 24. Let y be j(-22). Factor 1/2*h**y + 0 + 5/2*h.
h*(h + 5)/2
Find v, given that -26/3*v**3 - 10*v**2 + 0*v + 2*v**4 + 2/3*v**5 + 0 = 0.
-5, -1, 0, 3
Let z(c) be the third derivative of -4 - 19/240*c**6 + 0*c + 8*c**2 - 3/16*c**4 + 13/40*c**5 - 2/3*c**3 - 1/140*c**7. Determine i, given that z(i) = 0.
-8, -1/3, 1
Suppose 4*y - y = 4*s + 53, 0 = y - s - 18. Suppose 0 = -2*t + 3*u + y, 5*u + 29 = -3*t + 5*t. Factor 2*n**5 + 2*n**3 + 58*n**4 + t*n**3 - 64*n**4.
2*n**3*(n - 2)*(n - 1)
Let u(w) be the second derivative of w**5/90 + 17*w**4/27 + 173*w**3/27 + 140*w**2/9 - 3471*w. Determine p, given that u(p) = 0.
-28, -5, -1
Let n(r) be the second derivative of 1/3*r**4 - 6*r - 1/3*r**3 + 0*r**2 + 0 - 1/10*r**5. Factor n(z).
-2*z*(z - 1)**2
Let i(r) be the first derivative of -r**2 + 34*r - 14. Let h be i(15). Factor -23*f**h - 8*f - 10*f**3 + 25*f**4 + 11*f**2 + 5*f**2.
2*f*(f - 2)**2*(f - 1)
Let v = 48409 + -532469/11. Find q such that -v*q + 4/11*q**2 + 14/11*q**4 + 28/11*q**3 - 18/11 + 2/11*q**5 = 0.
-3, -1, 1
Let m = -4310/79 + 22814/395. Factor -m*a**2 + 0*a + 2/5*a**4 + 32/5 + 0*a**3.
2*(a - 2)**2*(a + 2)**2/5
Let l(d) be the second derivative of 6/55*d**5 + 4/11*d**2 + 4/165*d**6 - 4/11*d**3 + d - 1 + 1/66*d**4. Factor l(p).
2*(p + 2)**2*(2*p - 1)**2/11
Let j(w) be the second derivative of -2*w**6/15 + 13*w**5/5 - 16*w**4 + 24*w**3 + 5710*w. Factor j(v).
-4*v*(v - 6)**2*(v - 1)
Let m(p) = 63*p**3 + 355*p**2 + 721*p + 374. Let s(i) = 13*i**3 - i**2 - i + 2. Let f(x) = m(x) - 5*s(x). Determine t so that f(t) = 0.
-1, 182
Suppose -2*g + 3*y = 11 - 30, -y - 15 = -5*g. Factor 3*f**3 - 4 + 6 - g - 26*f**2 + 89*f**2.
3*f**2*(f + 21)
Let x be -14 + (-8271)/(-459) + -4. Let j(l) be the second derivative of 0*l**2 + 1/51*l**3 + 7*l + 1/170*l**5 + x*l**4 + 0. Solve j(h) = 0.
-1, 0
Factor 37*j**3 + 73/2*j + 0 - 1/4*j**4 - 293/4*j**2.
-j*(j - 146)*(j - 1)**2/4
Let j(d) be the third derivative of d**6/660 - 83*d**5/330 + 1763*d**4/132 - 1681*d**3/33 - 5807*d**2. Factor j(f).
2*(f - 41)**2*(f - 1)/11
Let z(f) be the first derivative of f**6/10 - 3*f**5/10 - 23*f**4/4 + 12*f**3 + 216*f**2 + 6*f + 65. Let k(h) be the first derivative of z(h). Factor k(j).
3*(j - 4)**2*(j + 3)**2
Factor 28800*l**2 - 707*l**3 + 7*l**3 + 4*l**4 - 516331*l + 678331*l.
4*l*(l - 90)**2*(l + 5)
What is t in 2/3*t**3 + 12*t**2 - 96*t + 0 = 0?
-24, 0, 6
Suppose 4*c + 5 = -v, 0 = 4*v + 12*c - 9*c - 58. Let o(t) be the first derivative of -54/5*t - v + 1/10*t**4 + 27/5*t**2 - 6/5*t**3. Solve o(d) = 0.
3
Factor 1537*n**2 - 841/2*n**3 + 50 + 1135/2*n.
-(n - 4)*(29*n + 5)**2/2
Let g be (2/(-14) + 130/175)*(-7)/(-21). Let z(k) be the second derivative of 0 + g*k**5 + 0*k**4 + 1/5*k**6 + 0*k**3 + 0*k**2 + 9*k - 2/21*k**7. Factor z(t).
-2*t**3*(t - 2)*(2*t + 1)
Let t(k) = -40*k**2 + 154*k - 736. Let y(d) = d**2 + d. Let n(v) = 2*t(v) + 76*y(v). Determine w, given that n(w) = 0.
4, 92
Let r(a) be the third derivative of -a**8/4032 - a**7/504 + 5*a**6/48 + 61*a**5/30 - 77*a**2. Let p(t) be the third derivative of r(t). Factor p(x).
-5*(x - 3)*(x + 5)
Let w(l) be the first derivative of -l**4/6 - 332*l**3/9 + 676*l**2/3 - 1360*l/3 - 491. Solve w(a) = 0 for a.
-170, 2
Factor -17*t**2 - 69/4*t - 1/4.
-(t + 1)*(68*t + 1)/4
Let f(x) be the second derivative of -x**5/30 - 7*x**4/12 - 10*x**3/3 - 53*x**2/2 - 65*x. Let k(m) be 