 Let m(w) = -165*w**3 - 380*w**2 + 5*w. Let l(t) = -5*a(t) - 6*m(t). What is r in l(r) = 0?
-2, 0, 1/34
Let v be 15 - (2080/150 - -1). Let h(b) be the second derivative of -v*b**6 + 9*b - 1/5*b**5 + 2/3*b**3 + 0 + b**4 - 4*b**2. Factor h(x).
-4*(x - 1)**2*(x + 1)*(x + 2)
Suppose -3*f = -w - 6, -2 = -537*w + 534*w - f. Suppose 0 = 3*j - 1 - 8. Factor -1/3*c + 1/3*c**j + w*c**2 - 1/6 + 1/6*c**4.
(c - 1)*(c + 1)**3/6
Solve 29894*z**2 - 6*z**3 + 190*z + 30021*z**2 - 59779*z**2 + 48 = 0.
-1, -1/3, 24
Suppose -82*w + 5*w + 462 = 0. Let l(c) be the second derivative of 0*c**2 + 4/5*c**w + 11/5*c**5 + 0 + 2*c**4 + 0*c**3 + 13*c + 2/21*c**7. Factor l(g).
4*g**2*(g + 1)*(g + 2)*(g + 3)
Let r(b) be the first derivative of 7*b**6/27 - 116*b**5/45 - 229*b**4/18 + 2240*b**3/27 - 100*b**2/3 - 4216. Solve r(p) = 0 for p.
-5, 0, 2/7, 3, 10
Let b(y) = -y**3 - 10*y**2 - 27*y - 2. Let d be b(-6). Factor -33 + 25 + 8 + 2*z**3 - d*z**2.
2*z**2*(z - 8)
Let j = -19231/4 + 4819. Factor 285/2*a**3 + 1365/4*a - 441/4 - j*a**4 - 725/2*a**2 + 1/4*a**5.
(a - 21)**2*(a - 1)**3/4
Let m(l) = 12*l**2 - 15675*l - 10249575. Let o(h) = 7*h**2 - 7837*h - 5124792. Let g(u) = 5*m(u) - 9*o(u). Solve g(t) = 0.
-1307
Let q = -167 - -162. Let u(x) = 15*x**3 + 5*x**2 + 5*x + 5. Let m(z) = z**5 + 8*z**3 + 3*z**2 + 3*z + 3. Let g(b) = q*m(b) + 3*u(b). Factor g(f).
-5*f**3*(f - 1)*(f + 1)
Find w such that 13*w**3 + 134*w**3 - 300*w**2 - 616*w - 4*w**4 + 165*w**3 = 0.
-1, 0, 2, 77
Let i(r) be the first derivative of -6*r - 1/2*r**3 - 3*r**2 - 12. Factor i(h).
-3*(h + 2)**2/2
Let i(j) be the first derivative of 2*j**3/3 + 171*j**2 + 1008*j - 3972. Suppose i(g) = 0. Calculate g.
-168, -3
Let s be (-18)/(-171) + 1152/(-114). Let t be 225/10*2/(-175)*s. Solve -t*o**5 - 90/7*o**4 - 142/7*o**3 + 8/7 - 62/7*o**2 + 16/7*o = 0.
-2, -1, -1/3, 1/3
Let u(b) = b**3 + 10*b**2 + 6*b - 24. Let h be u(-7). Factor 29*x**3 + h*x**2 - 23*x - 2*x**4 + 31*x + 17 + 59*x.
-(x - 17)*(x + 1)**2*(2*x + 1)
Let d(v) = -v**3 - 40*v**2 - 86*v + 2088. Let i be d(-36). Solve i + 3/5*z**2 + 12/5*z = 0 for z.
-4, 0
Let u(o) be the first derivative of o**3 - o**2 - 314 - 12*o + 1/8*o**4. Factor u(q).
(q - 2)*(q + 2)*(q + 6)/2
Let k(h) be the third derivative of -h**5/240 - 31*h**4/96 - 55*h**3/6 - h**2 + 57*h - 5. Factor k(y).
-(y + 11)*(y + 20)/4
Let g = 241745/3 - 80567. Solve -g*c - 46/3 + 2/3*c**2 = 0.
-1, 23
Let x(k) be the second derivative of k**4/26 - k**3/3 + 14*k**2/13 + 851*k. Factor x(w).
2*(w - 2)*(3*w - 7)/13
Let d = -122 + 126. Let p be (-2)/(-10) - (-27)/15. Factor -7*h + 40*h - 17*h - d*h**p.
-4*h*(h - 4)
Let c = 10447/634 - -7/317. Factor 9/2 + 9/4*b**3 + 75/4*b + c*b**2.
3*(b + 1)*(b + 6)*(3*b + 1)/4
Let q(l) be the first derivative of -16/9*l + 178 + 5/3*l**2 - 14/27*l**3. Factor q(s).
-2*(s - 1)*(7*s - 8)/9
Let j = 4246 - 4240. Let p(y) be the second derivative of 4/105*y**j - 4/7*y**2 + 2/147*y**7 - 2/3*y**3 - 8/21*y**4 - 13*y + 0 - 2/35*y**5. Factor p(w).
4*(w - 2)*(w + 1)**4/7
Suppose -3*w + 4*a - 1 = -3, 0 = 5*w + 3*a + 16. Let d be 4 + 1*(0 + w). Let -109 + j + 85 + 4*j**d - 5*j = 0. Calculate j.
-2, 3
Let j(u) be the second derivative of -u**4/24 + 158*u**3/3 + 317*u**2 + 2*u + 635. Factor j(d).
-(d - 634)*(d + 2)/2
Suppose 100 = 49*y + 2*p, -143*p = -3*y - 144*p + 7. Let 0 + 55/3*c + 1/3*c**y = 0. Calculate c.
-55, 0
Factor -11520 - 25*g**2 - 32*g**2 + 88*g**2 + 480*g - 36*g**2.
-5*(g - 48)**2
Let k(b) be the first derivative of -2*b**3/21 - 103*b**2/7 - 404*b/7 + 1104. Let k(f) = 0. What is f?
-101, -2
Let p(k) = -3*k**2 - 9. Let a(u) = u - 2*u + 0*u + 2*u + 9 - 10. Let y be 4/5 + (-7)/(-35). Let j(t) = y*p(t) - 6*a(t). Let j(x) = 0. Calculate x.
-1
Let o(m) = -127*m - 376. Let r be o(-3). Suppose 26 - 6 = r*c. Solve 0*g**2 + 2/7*g**c + 0*g + 2/7*g**5 - 4/7*g**3 + 0 = 0.
-2, 0, 1
Let v(i) be the first derivative of -i**5/70 + 5*i**4/42 - 8*i**3/21 + 4*i**2/7 + 25*i - 97. Let r(m) be the first derivative of v(m). Let r(w) = 0. What is w?
1, 2
Let k(f) be the first derivative of f**2 - 8*f + 18. Let a be k(5). Factor -7*y**a + 6*y**4 + 5*y**5 - 20*y**3 + 15*y**4 - 33*y**2 - 11*y**4.
5*y**2*(y - 2)*(y + 2)**2
Let k(b) be the third derivative of 5*b**9/12096 - b**8/2240 - b**7/1680 - 37*b**3/6 + 20*b**2 + 2. Let d(x) be the first derivative of k(x). Factor d(o).
o**3*(o - 1)*(5*o + 2)/4
Suppose 38 = 17*n - 30. Suppose -n*f + 4*k + 21 = 9*k, -4*f + 3*k = -13. Suppose 78/5*r + 36/5 + 58/5*r**2 + 2/5*r**f + 18/5*r**3 = 0. Calculate r.
-3, -2, -1
Let m(h) be the first derivative of -169*h**4/4 - 4472*h**3/3 - 2037*h**2/2 - 234*h - 11175. Solve m(c) = 0 for c.
-26, -3/13
Solve 72/11 - 100/11*p**2 + 2/11*p**5 - 42/11*p + 28/11*p**4 + 40/11*p**3 = 0 for p.
-12, -3, -1, 1
Let u be 0*(-1)/(6/(3 - 0)) + 2. Let n(v) be the third derivative of 0 - 2/3*v**3 + 1/12*v**4 + 0*v + 3*v**u + 1/30*v**5. Factor n(m).
2*(m - 1)*(m + 2)
Factor 6387399*c - 510*c**4 - 62744708 + 12242601*c - 1580336*c**2 + 3*c**5 + 34200*c**3 - 26598418 - 32156874 + 446336*c**2.
3*(c - 50)*(c - 30)**4
Let f = -35268 + 35270. Solve 3/5*m - 1/5*m**f + 0 = 0 for m.
0, 3
Let f(c) = 12*c**3 + 3330*c**2 + 11*c - 11. Let g(s) = 2*s**3 + 666*s**2 + 2*s - 2. Let q(d) = 4*f(d) - 22*g(d). Let q(j) = 0. Calculate j.
0, 333
What is v in -36/13*v - 2/13*v**2 - 90/13 = 0?
-15, -3
Suppose 0*j + 5*j - 5*n = 25, 4*j + 15 = -3*n. Suppose 3*q + 18 - 24 = j. Factor -1/2*c + 1/4 + 1/4*c**q.
(c - 1)**2/4
Let v be (15/6 + -3)*-28. Factor -v*h - 78*h**2 + 73*h**2 - 25 - 16*h.
-5*(h + 1)*(h + 5)
What is s in -4*s**3 + 318*s + 541995*s**2 - 542007*s**2 - 102*s + 448 = 0?
-8, -2, 7
Let s(l) be the first derivative of 4*l**5/5 - 5*l**4 - 20*l**3 + 10*l**2 + 56*l + 6318. Find w, given that s(w) = 0.
-2, -1, 1, 7
Factor 0*m + 1/3*m**3 - 254/3*m**2 + 0.
m**2*(m - 254)/3
Let z(p) be the first derivative of p**5/160 + p**4/24 - 265*p + 157. Let o(n) be the first derivative of z(n). Solve o(w) = 0 for w.
-4, 0
Let d(q) be the third derivative of q**6/60 + 13*q**5/30 + 23*q**4/12 + 11*q**3/3 - 3266*q**2. What is h in d(h) = 0?
-11, -1
Let r = -92/11 - -3323/396. Let m(q) be the third derivative of -r*q**4 + 1/6*q**3 + 0*q - 5*q**2 - 1/180*q**5 + 0. Factor m(w).
-(w - 1)*(w + 3)/3
Let j(c) be the second derivative of c**5/4 + 15*c**4/2 + 80*c**3/3 + 8*c - 33. Factor j(w).
5*w*(w + 2)*(w + 16)
Let g be ((-373)/(-20))/(498/(-415)). Let p = -119/8 - g. Factor 4/3*z**4 + p*z**5 + 0*z**3 + 0 - 2/3*z - 4/3*z**2.
2*z*(z - 1)*(z + 1)**3/3
Let v(g) be the second derivative of -2*g**7/21 + 388*g**6/15 + 39*g**5 + 826*g. Factor v(i).
-4*i**3*(i - 195)*(i + 1)
Let z(s) = -s**4 - s**3 + s**2 + s. Let f(c) = -3*c**4 - 23*c**3 - 37*c**2 - 17*c. Let x(m) = f(m) + 2*z(m). Factor x(b).
-5*b*(b + 1)**2*(b + 3)
Let f(z) be the third derivative of 1/8*z**4 + 28 + 0*z + 6*z**3 - z**2 - 1/20*z**5. Let f(s) = 0. What is s?
-3, 4
Let w = -1589989/3 - -529997. Factor 17/3*j**2 + 0 + w*j**4 + 11/3*j**3 + 2*j.
j*(j + 2)*(j + 3)*(2*j + 1)/3
Let -16/3*d + 1/6*d**2 - 24 = 0. What is d?
-4, 36
Let p(f) be the first derivative of -5/3*f**3 - 3 - 5*f**2 + f**5 + 5/2*f**4 + 0*f. Find w, given that p(w) = 0.
-2, -1, 0, 1
Let x(a) = -a**2 - 7*a + 7. Let q be x(-7). Let b be (-33)/9*444/(-814). Factor 11*v**2 - 8*v**4 - q*v**4 - 21*v**3 - b*v**5 - 20*v**2 - v**5.
-3*v**2*(v + 1)**2*(v + 3)
Let m be ((-12)/(-66))/((-10)/4940). Let t = m - -90. Factor -10/11*f + 16/11*f**2 - 8/11*f**3 + t.
-2*(f - 1)*(2*f - 1)**2/11
Let w(k) be the second derivative of -k**8/784 + k**7/245 - k**5/70 + k**4/56 - 57*k**2/2 + 44*k. Let j(l) be the first derivative of w(l). Factor j(i).
-3*i*(i - 1)**3*(i + 1)/7
Let y(c) be the third derivative of -3*c**8/896 - c**7/80 + 77*c**6/160 - 23*c**5/16 + 41*c**4/64 + 45*c**3/16 + 9*c**2 - 5*c - 2. Determine j so that y(j) = 0.
-9, -1/3, 1, 5
Suppose -3*l + 10 = 19, 5*h + 2*l - 9 = 0. Factor -1 - 324984*o**3 + 1 + 324983*o**h + o**2 + 6*o.
-o*(o - 3)*(o + 2)
Let i(v) be the second derivative of -5*v**7/168 + 25*v**6/24 - 83*v**5/16 - 125*v**4/48 + 35*v**3/2 - 4550*v. Find b such that i(b) = 0.
-1, 0, 1, 4, 21
Factor -6/5 - 241/5*w + 122/5*w**2.
(w - 2)*(122*w + 3)/5
Let u = 92/149985 - -2/2727. Let i = 493/1485 + u. Let -1/3*o + 0 + o**2 - o**3 + i*o**4 = 0. Calculate o.
0, 1
Let j(b) = 21*b*