ivative of 0*w + 43/20*w**5 + 11*w**2 + 18*w**3 - 1 + 69/8*w**4 + 1/70*w**7 + 11/40*w**6. Factor l(p).
3*(p + 1)*(p + 3)**2*(p + 4)
Let c(q) = 57*q - 191. Let k be c(7). Let g be (-32)/k + (-32)/(-26). Determine a, given that g*a + 46/13*a**3 - 60/13*a**2 + 8/13 - 8/13*a**4 = 0.
-1/4, 1, 4
Let h = 34073 + -204433/6. Factor 1/3*q**2 - h*q + 1/6*q**3 - 1.
(q - 2)*(q + 1)*(q + 3)/6
Let u be (-1)/(2/(-6)) - 1. Let q be 28/(-20)*(-210)/(-735) - (-128)/70. Suppose -u*i**3 - q*i**2 + 0 + 4/7*i = 0. Calculate i.
-1, 0, 2/7
Let a be -19 + (411048/(-243))/(-88). Suppose -u + 3*g + 6 - 1 = 0, -3*g - 13 = -5*u. Factor a*s**u - 8/9*s + 2/3.
2*(s - 3)*(s - 1)/9
Suppose 22*p = 27*p - 115. Suppose -11 + p = n - 3*m, 3*n + 16 = -4*m. Factor 13/6*o**3 - 7/6*o**4 + n - 3*o + 1/2*o**2 + 1/6*o**5.
o*(o - 3)**2*(o - 2)*(o + 1)/6
Let g be ((-5)/2)/(6981/312 - 23). Let w(u) be the second derivative of 41*u + 0 - 4/3*u**3 - 6*u**2 + 1/3*u**g. Factor w(d).
4*(d - 3)*(d + 1)
Let j be 2 + 0 + 7 - (2 + 2). Find x, given that -1971*x**2 - 19 + 1917*x**2 - 21*x**3 - 3*x**4 - 60*x - j = 0.
-2, -1
Let i(z) = -2*z**3 + 37*z**2 - 49*z + 1295. Let o be i(19). Factor 12/5 + 9*a + 24/5*a**2 - 9/5*a**o.
-3*(a - 4)*(a + 1)*(3*a + 1)/5
Suppose -10*k = -186 - 34. What is p in -10*p**4 + 314*p**2 + 8*p**5 + 324*p**2 - 624*p**2 - k*p**3 + 14*p - 4 = 0?
-1, 1/4, 1, 2
Suppose -105*p + 9632 - 9422 = 0. Let s = -38/7 - -6. Find l such that 36/7*l + 12/7*l**p - s*l**3 + 20/7 = 0.
-1, 5
Let x = -108 - -111. Let 160 - 96 - 60*h**2 + x*h**4 - 7*h**4 + 40*h**3 - 40*h = 0. Calculate h.
-1, 1, 2, 8
Let j(b) be the third derivative of b**6/480 - 203*b**5/16 + 1030225*b**4/32 - 1045678375*b**3/24 - b**2 - 1221. Solve j(q) = 0 for q.
1015
Let s = -39 - -37. Let j be 1 - ((1 - s) + -4). Factor 2*r**2 + 263 - 263 - 4*r + 4*r**2 - j*r**4.
-2*r*(r - 1)**2*(r + 2)
Let l(s) = -s**2 - 75*s - 1373. Let h be l(-43). What is k in 1/3*k**2 + 0 - h*k = 0?
0, 9
Let v be (-3990)/630 - 42/(-4)*30/45. Solve v*o + 2*o**4 - 4/3*o**3 + 2 - 4*o**2 + 2/3*o**5 = 0 for o.
-3, -1, 1
Let y(v) = 2085*v + 2093. Let m be y(-1). Let -6*h**2 + m*h**3 + 0*h + 0 + 3/2*h**4 = 0. What is h?
-6, 0, 2/3
Let r(w) = -w**4 + w**2 + w. Let c = 232 + -236. Let h(n) = 24*n**3 - 48*n**2 + 20*n. Let b(y) = c*r(y) - h(y). Determine a, given that b(a) = 0.
0, 1, 2, 3
Let p be ((-31970)/100)/23 + 294/21. Factor -p*g**3 + 11/10*g**2 + 0 - g.
-g*(g - 10)*(g - 1)/10
Suppose 6*g = 42*g - 252. Let s(m) be the third derivative of 1/20*m**6 + 19*m**2 + 0 + 2*m**3 - 1/10*m**5 - 7/12*m**4 + 0*m + 1/105*m**g. Factor s(u).
2*(u - 1)**2*(u + 2)*(u + 3)
Let m(n) = -2*n**2 - 112*n + 324. Let u(g) = -3*g**2 - 224*g + 649. Let a(w) = -5*m(w) + 3*u(w). Let a(i) = 0. Calculate i.
3, 109
Let j be 4/(32/(-12))*168/9. Let t be (-420)/j - (-6)/(-2). Determine k, given that -t*k**2 - 1 - 2*k**4 - 13/2*k - 17/2*k**3 = 0.
-2, -1, -1/4
Let r(d) be the second derivative of -7*d**4/18 + d**3/3 + d + 95. Solve r(u) = 0.
0, 3/7
Let y be 0/((315/(-14))/15*(-12)/(-9)). Let q(t) be the second derivative of 13*t + 1/3*t**3 + y*t**2 + 1/4*t**4 - 3/5*t**5 + 7/30*t**6 + 0. Factor q(n).
n*(n - 1)**2*(7*n + 2)
Factor -34/5*x**3 + 2/5*x - 13*x**2 + 0 + 33/5*x**4.
x*(x - 2)*(x + 1)*(33*x - 1)/5
Let q be (-15)/(79/(237/(-63))). Find z such that -q*z - 1/7*z**5 + 3/7 - 1/7*z**4 + 6/7*z**3 - 2/7*z**2 = 0.
-3, -1, 1
Let d(i) be the third derivative of 10/27*i**3 - 7/270*i**5 + 0*i + 0 + 1/36*i**4 + 107*i**2. Determine t, given that d(t) = 0.
-1, 10/7
Let p = 44 - 14. Let u be 4/p - (-9832)/60. Determine m so that -68*m - 275*m**3 + 8 + 206*m**2 + 7*m**5 + u*m**4 - 24*m**5 - 18*m**5 = 0.
2/7, 2/5, 1, 2
Let b(i) be the first derivative of -7*i**5/30 - i**4/6 + i**2/2 + 2*i - 28. Let f(o) be the second derivative of b(o). Factor f(j).
-2*j*(7*j + 2)
Let c be 50/21*(-8232)/(-1260) - (-2 - -14). Solve 40/9*h**2 + 4/9*h**3 + c + 68/9*h = 0 for h.
-8, -1
Suppose 2*y**2 + 14/9 - 2/9*y**3 - 10/3*y = 0. Calculate y.
1, 7
Let j = -224205 + 224207. Suppose 0 + 21/8*m - 3/8*m**j = 0. What is m?
0, 7
Let -2*l**4 + 87*l - 204*l**2 + 231*l + 62*l**3 - 66*l - 10*l**3 - 2*l**4 = 0. Calculate l.
0, 3, 7
Let r(c) be the first derivative of c**6/45 + c**5/6 + 5*c**4/18 - 5*c**3/9 - 2*c**2 - 126*c - 37. Let d(v) be the first derivative of r(v). Solve d(x) = 0.
-3, -2, -1, 1
Let r(g) be the second derivative of g**7/105 + 4*g**6/75 + 2*g**5/25 - g**4/15 - g**3/3 - 2*g**2/5 + g + 324. Factor r(h).
2*(h - 1)*(h + 1)**3*(h + 2)/5
Let g(a) be the first derivative of -4*a**5/15 - 27*a**4/4 - 232*a**3/9 - 63*a**2/2 - 34*a/3 + 601. Find p such that g(p) = 0.
-17, -2, -1, -1/4
Let n(u) be the second derivative of 699*u**4/8 - 350*u**3 + 3*u**2 + 4049*u. Let n(k) = 0. Calculate k.
2/699, 2
Let j = 71370 + -570951/8. Find p, given that -3/2*p + 0*p**2 + 0 + j*p**3 - 3/8*p**4 = 0.
-1, 0, 2
Let l be ((-32)/(-20))/(137/274). Let -1/5*u**4 + l*u**2 + 0 - 12/5*u - 3/5*u**3 = 0. What is u?
-6, 0, 1, 2
Suppose -61*c + 4440 = 4196. Factor -2/9*x**5 + 0*x - 32/9*x**3 + 16/9*x**c + 0 + 0*x**2.
-2*x**3*(x - 4)**2/9
Suppose 2/7*n**4 - 6/7*n**2 + 6/7*n**3 - 22/7*n - 12/7 = 0. What is n?
-3, -1, 2
Let x(h) be the first derivative of 0*h - 3/8*h**4 - 8*h**3 - 130 + 0*h**2. Find d such that x(d) = 0.
-16, 0
Let f be (6/20)/(294/(-6125)). Let n = f - -83/12. Factor 0*x + n - 2/3*x**2.
-2*(x - 1)*(x + 1)/3
Let p(g) be the third derivative of 0*g + 1/65*g**5 - 39*g**2 - 1/780*g**6 + 0 + 8/39*g**3 - 1/13*g**4. Factor p(k).
-2*(k - 2)**3/13
Let r = -3707 + 155695/42. Let o(v) be the second derivative of -7*v**2 - 2/3*v**3 - r*v**4 + 2*v + 0. Solve o(y) = 0.
-7
Let i be ((-12)/105*7 + 17/15)*0. Suppose 6 = 5*y - 14. Find r such that i*r + 396*r**2 + y*r - 380*r**2 = 0.
-1/4, 0
Determine n so that 10*n**2 + 10*n - 5*n**2 + 353 - 128 - 6*n**2 + 6*n = 0.
-9, 25
Let m(d) = 1588*d + 165158. Let q be m(-104). Let -3/4*h**2 - q + 15/2*h - 3/4*h**3 = 0. What is h?
-4, 1, 2
Let k(r) be the second derivative of -r**8/50400 + r**6/1350 + 235*r**4/12 + 3*r - 5. Let p(n) be the third derivative of k(n). What is h in p(h) = 0?
-2, 0, 2
Let s(j) be the first derivative of j**4 - 24*j**3 + 190*j**2 - 504*j - 1787. Factor s(i).
4*(i - 9)*(i - 7)*(i - 2)
Let z = 125 + -96. Determine v, given that v**3 - 5*v**3 - 59*v**2 + 41*v**2 + z*v**4 - 11*v**4 + 8*v**5 - 4*v = 0.
-2, -1, -1/4, 0, 1
Let n(s) = 7*s**3 + 12*s**2 - 76*s + 99. Let f(w) = -9*w**3 - 13*w**2 + 66*w - 100. Let l(o) = 3*f(o) + 4*n(o). Suppose l(a) = 0. Calculate a.
-16, 1, 6
Let d(p) be the first derivative of 27*p**5/5 - 28*p**4 - 11*p**3/3 + 56*p**2 - 16*p + 6616. Suppose d(l) = 0. What is l?
-1, 4/27, 1, 4
Let w(n) be the third derivative of -n**6/300 + 14*n**5/75 - 4*n**4 + 192*n**3/5 - 912*n**2 + n. Factor w(g).
-2*(g - 12)**2*(g - 4)/5
Suppose 60 = 12*v - 7*v. Suppose -32 = -4*o + v*o. Let f(a) = -2*a**4 - 5*a**2 - 2. Let l(m) = 3*m**4 + 6*m**2 + 3. Let i(s) = o*f(s) - 3*l(s). Factor i(b).
-(b - 1)**2*(b + 1)**2
Let s(x) be the second derivative of -x**7/21 + 2*x**6/15 + 13*x**5/5 + 28*x**4/3 + 47*x**3/3 + 14*x**2 + 28*x + 9. Factor s(l).
-2*(l - 7)*(l + 1)**3*(l + 2)
Let g(u) be the second derivative of u**7/210 + u**6/15 - 383*u**5/100 - 34*u**4 + 6936*u**3/5 + 2*u + 2520. Factor g(h).
h*(h - 12)**2*(h + 17)**2/5
Let z(y) = -1484*y**2 - 164*y + 2376. Let c(x) = -309*x**2 - 33*x + 475. Let o(l) = 24*c(l) - 5*z(l). Determine q so that o(q) = 0.
-15, 8
Let y(q) = 3*q**3 - q**2 + q + 1. Let g(u) = 34*u**3 - 40*u**2 + 149*u + 11. Let a(d) = -2*g(d) + 22*y(d). Factor a(t).
-2*t*(t - 23)*(t - 6)
Let d(k) be the second derivative of k**7/420 + 199*k**6/300 + 1239*k**5/100 + 1409*k**4/15 + 5224*k**3/15 + 2976*k**2/5 + 100*k - 36. Solve d(r) = 0 for r.
-186, -4, -1
Let o be 0/((-4)/1 + 6) - -30. Let t(g) be the first derivative of -o*g**2 + 111*g + 200*g**3 - 500*g**4 - 21 - 109*g - 11. Solve t(v) = 0 for v.
1/10
Let f(x) be the second derivative of x**6/420 + 2*x**5/15 + 7*x**4/3 + 91*x**2 + 190*x. Let p(c) be the first derivative of f(c). Factor p(r).
2*r*(r + 14)**2/7
Let l be 25/(-2) + 114/19 - -8. Let q(c) be the first derivative of -22 + l*c**3 + 3/4*c**4 + 0*c + 0*c**2. Factor q(o).
3*o**2*(2*o + 3)/2
Suppose -17*i = 24*i - 3772. Factor -95 + i - o - o**2 + 9.
-(o - 2)*(o + 3)
Let t(a) be t