tive of -f**6/150 - f**5/25 - f**4/15 - 16*f**2 - 9*f. Let l(w) be the first derivative of c(w). Factor l(j).
-4*j*(j + 1)*(j + 2)/5
Let s be (7 - (-1957)/(-285)) + 6/(-45). Determine b, given that -2/3*b**3 - 2/3*b**4 + 0*b**2 + 0*b + s = 0.
-1, 0
Let a(h) be the second derivative of h**5/75 - 8*h**3/15 - 50*h**2 - 5*h + 5. Let z(w) be the first derivative of a(w). Solve z(b) = 0 for b.
-2, 2
Let d(p) be the first derivative of -71 - 28/3*p**3 + 1/2*p**4 + 0*p**2 + 0*p. Let d(t) = 0. What is t?
0, 14
Let u = -726688 + 3633442/5. Factor 26/5*r**2 - u*r**3 + 0 - 24/5*r.
-2*r*(r - 12)*(r - 1)/5
Let h(u) be the third derivative of -u**6/240 + 7*u**5/120 + 7*u**4/24 - 4*u**3 + 2*u**2 + 14. Determine w, given that h(w) = 0.
-3, 2, 8
Let t be (-39)/104*(-80)/36. Let x(q) be the third derivative of 0 - t*q**4 + 8*q**2 - 1/12*q**5 + 0*q - 10/3*q**3. Factor x(u).
-5*(u + 2)**2
Let u(r) be the third derivative of -1/480*r**6 - 5/24*r**4 + 0*r**3 + 0*r - 8 - 2*r**2 + 3/80*r**5. What is o in u(o) = 0?
0, 4, 5
Find u such that -1/6*u**5 + 12*u**2 + 0 + 0*u - u**3 - 13/6*u**4 = 0.
-12, -3, 0, 2
Suppose -87*s + 80*s + 378 = 0. Suppose -11*k = -1 - s. Determine q, given that 4/5 - 2/5*q**2 + 4/5*q**k - 14/5*q**3 - 2/5*q**4 + 2*q = 0.
-1, -1/2, 1, 2
Let m = 399 - 607. Let x = -1454/7 - m. Suppose x*l**2 - 8/7 - 6/7*l = 0. Calculate l.
-1, 4
Let r(w) be the first derivative of -3/2*w**4 - 13/3*w**3 - 1/5*w**5 - 4*w - 6*w**2 + 46. Factor r(u).
-(u + 1)**2*(u + 2)**2
Suppose -598/7 - 2/7*q**2 + 600/7*q = 0. What is q?
1, 299
Let q(p) be the second derivative of 5/6*p**4 + 9 + 65/6*p**3 - 3*p + 25*p**2 - 1/4*p**5. Factor q(h).
-5*(h - 5)*(h + 1)*(h + 2)
Let z(i) be the first derivative of -2*i**5/35 - 2*i**4/7 + 4*i**3/7 + 36*i**2/7 + 54*i/7 + 1613. Find s, given that z(s) = 0.
-3, -1, 3
Suppose -12 = -3*h + 3*w + 12, -5*w = -3*h + 20. Let m be (-2065)/472*h/(-7). Find o, given that -5/4*o**2 + 0 - 115/4*o**4 + 15/2*o - m*o**5 - 125/4*o**3 = 0.
-3, -1, 0, 2/5
Let g(d) be the first derivative of 3*d**3 + 1 - 27/8*d**4 - d**2 + 6*d. Let c(j) be the first derivative of g(j). Factor c(f).
-(9*f - 2)**2/2
Let y = -219764 + 219767. Factor l - l**y - 1/2*l**4 + 0 + 1/2*l**2.
-l*(l - 1)*(l + 1)*(l + 2)/2
Let m(v) be the first derivative of v**7/280 - v**6/12 - 11*v**5/40 + v**3 + 4*v + 165. Let k(j) be the third derivative of m(j). Let k(t) = 0. What is t?
-1, 0, 11
Solve 71/3*m + 7/6*m**2 + 35/6 - 2/3*m**3 = 0.
-5, -1/4, 7
Let c(y) be the first derivative of 2*y**6/3 - 112*y**5/5 - 64*y**4 + 472*y**3/3 + 126*y**2 - 360*y - 207. Let c(l) = 0. Calculate l.
-3, -1, 1, 30
Let a = 4423 + -2706. Let r be (-3)/(42/(-4)) + a/238. Factor -3/2*p**3 + 3/2*p**2 + 9/2 + r*p.
-3*(p - 3)*(p + 1)**2/2
Let x be 52 - -104*37/(-74). Suppose -1/4*v**2 + 0 + x*v = 0. What is v?
0
Let r(p) = -55*p**3 - 1749*p**2 + 205341*p - 8008071. Let v(c) = -10*c**3 + c**2 + c - 1. Let n(s) = r(s) - 6*v(s). Determine x so that n(x) = 0.
117
Suppose 33*t = 58*t. Let u(f) be the second derivative of -1/5*f**5 + t - 2*f**2 + 2/3*f**3 + 1/3*f**4 + 8*f. Factor u(y).
-4*(y - 1)**2*(y + 1)
Let u(j) = j**4 - 62*j**3 - 900*j**2 - 2*j - 2. Let h(m) = -6*m**4 + 311*m**3 + 4500*m**2 + 11*m + 11. Let a(o) = 2*h(o) + 11*u(o). Factor a(q).
-q**2*(q + 30)**2
Let k(m) be the third derivative of -63*m**8/16 + 7467*m**7/25 + 15577*m**6/50 + 2254*m**5/25 + 48*m**4/5 + 2*m**2 + 2*m - 80. Let k(g) = 0. What is g?
-2/5, -2/21, 0, 48
Let a(g) = g**3 - 132*g**2 - 24*g + 3171. Let i be a(132). Factor -44/7*j**i + 2 + 76/7*j**2 + 2/7*j**5 + 6/7*j**4 - 54/7*j.
2*(j - 1)**4*(j + 7)/7
Let r(g) = g**3 - 11*g**2 - 13*g + 14. Let o be r(12). Factor -8*a**3 - a**2 - a**4 - 9*a**o - a**4 - 5*a + a.
-2*a*(a + 1)**2*(a + 2)
Let v = 25871 - 25871. Let d(m) be the first derivative of 2*m**2 + v*m - m**4 + 16 - 4/3*m**3 + 4/5*m**5. Factor d(c).
4*c*(c - 1)**2*(c + 1)
Let u be (10152/(-1278) + 8)*(-2)/84. Let b = u - -3016/25347. Find l such that -b*l**4 + 0*l + 2/17*l**3 + 4/17*l**2 + 0 = 0.
-1, 0, 2
Suppose 115 = -4*g + 103. Let d be 1/(7 + g - (-188)/(-48)). Determine l, given that 7 + 20 - 6*l**2 + 20*l - 3 - d*l**3 - 26*l**2 = 0.
-3, -2/3, 1
Let y be (4/(-20))/((-12)/60). Let n be y/(12/(-60)) - (-34)/6. Factor -n*b**3 + 4/3*b**2 + 0*b + 0 - 2/3*b**4.
-2*b**2*(b - 1)*(b + 2)/3
Let m(u) = -u**2 + u + 1. Let r(c) = -604*c**2 + 1293*c**2 - 619*c**2 + 15*c - 30 - 5*c**3. Let y(t) = -30*m(t) - r(t). Factor y(x).
5*x*(x - 9)*(x + 1)
Suppose 410 = 2*k + 6*t - 2*t, -5*k - 4*t = -1043. Let g = k - 211. Factor 0*w + 4/7*w**2 + g - 1/7*w**3.
-w**2*(w - 4)/7
Let 27*w**3 + 39/7*w**2 + 0 + 109/7*w**4 - 3/7*w**5 - 38/7*w = 0. Calculate w.
-1, 0, 1/3, 38
Let f(o) be the second derivative of -o**4/6 + 37*o**3/12 - 10*o**2 + 1238*o. Factor f(p).
-(p - 8)*(4*p - 5)/2
Let d(s) be the first derivative of -4 - 1/90*s**5 + 1/9*s**4 + 0*s + 0*s**3 + 17/2*s**2. Let j(q) be the second derivative of d(q). Factor j(g).
-2*g*(g - 4)/3
Let z(i) be the third derivative of i**5/15 + 4*i**4 + 190*i**3/3 + 20*i**2 + 165. Solve z(t) = 0 for t.
-19, -5
Let q(f) = f**2 + 466*f + 1030. Let y(v) = v**2 + 466*v + 1047. Let d(b) = 7*q(b) - 6*y(b). Factor d(h).
(h + 2)*(h + 464)
Let v(n) be the first derivative of -n**6/6 - 58*n**5/25 - 81*n**4/20 - 8*n**3/15 + 2*n**2 + 1003. Find a, given that v(a) = 0.
-10, -1, 0, 2/5
Let -4/5*j**2 - 26/5*j - 4 + 2/5*j**3 = 0. Calculate j.
-2, -1, 5
Let b(m) be the second derivative of m**6/50 - 27*m**5/10 - 471*m**4/20 - 38*m**3 - 5498*m. Factor b(i).
3*i*(i - 95)*(i + 1)*(i + 4)/5
Let g(i) = -i**2 - i + 1. Let r(l) = 2*l**2 - 98*l + 578. Let t be 1974/630 + (-4)/(-30)*-1. Suppose -t*o + 11 = 8. Let z(b) = o*r(b) - 2*g(b). Factor z(j).
4*(j - 12)**2
Let z(d) be the third derivative of -7/6*d**4 + 13*d**2 + 0 + 93/10*d**5 - 49/3*d**3 - 27/5*d**6 + 36/35*d**7 + 3*d. Solve z(a) = 0 for a.
-1/3, 1, 7/6
Let b(o) = -4*o**3 + 8*o**2 + 4*o - 24. Suppose 16*c - 18 + 2 = 0. Let m(v) = -v**2 + v. Let t(z) = c*b(z) - 8*m(z). Factor t(d).
-4*(d - 3)*(d - 2)*(d + 1)
Let m(v) = -4*v**3 + 5*v**2 + 30*v + 36. Let z(p) = 7*p**3 - 10*p**2 - 61*p - 69. Let a(q) = -10*m(q) - 6*z(q). Solve a(s) = 0 for s.
-3, -1, 9
Let z(p) = -5*p + 90. Let k be z(17). Solve -5*l**5 + 3 - 97*l**3 + k*l**4 - 3 + 107*l**3 = 0 for l.
-1, 0, 2
Suppose 3*u = -i + 77, -2*i - 4*u = 69 - 215. Suppose -4*r**5 + 56*r**2 - 8*r**4 + i*r**2 + 55*r**2 + 20*r**3 - 152*r**2 = 0. What is r?
-3, -1, 0, 2
Let d(b) be the first derivative of 5*b**6/2 + 72*b**5/5 + 69*b**4/2 + 44*b**3 + 63*b**2/2 + 12*b + 441. Determine j, given that d(j) = 0.
-1, -4/5
Let w = 4/268929 + 167811676/1344645. Factor 49/5*k**2 - w*k + 576/5 - 1/5*k**3.
-(k - 24)**2*(k - 1)/5
Let y(f) be the third derivative of f**6/160 - 767*f**5/80 + 147455*f**4/32 - 146689*f**3/8 - f**2 - 1787*f. Factor y(s).
3*(s - 383)**2*(s - 1)/4
Let r(v) be the first derivative of v**3/4 + 405*v**2/2 + 807*v - 1362. Determine a so that r(a) = 0.
-538, -2
Suppose -12 = -31*q + 35*q, 3*q + 9 = -4*h. Let l(r) be the second derivative of 0*r**3 + h*r**2 + 9*r + 0 + 5/12*r**4. Factor l(y).
5*y**2
Let o(s) = 5*s**3 + 3*s**2 - 5*s + 6. Suppose 0*p = -p + 3, 0 = -4*q + 3*p - 1. Let h(n) = -n**3 - n**2 + n - 1. Let b(k) = q*o(k) + 9*h(k). Factor b(m).
(m - 3)*(m - 1)*(m + 1)
Let o(l) = 245*l**2 - 390*l + 240. Suppose 4 = -2*h - 2*h. Let x(q) = q + 2. Let c(g) = h*o(g) + 30*x(g). Factor c(d).
-5*(7*d - 6)**2
Let r(z) be the second derivative of z**4/2 + 94*z**3/3 + 31*z**2 + 2172*z. Factor r(u).
2*(u + 31)*(3*u + 1)
Let v(k) = 2*k + 1. Let j be ((-1)/2 + (-10 - -11))*-8. Let r(o) = -o**2 - 26*o - 16. Let m(w) = j*r(w) - 36*v(w). Find z such that m(z) = 0.
-7, -1
Let l = 4951 + -29521/6. Let p(d) be the first derivative of l*d**2 - 50/3*d + 2 - 35/9*d**3. Factor p(i).
-5*(i - 5)*(7*i - 2)/3
Solve 2/5*b**5 - 32/5*b**2 - 64/5*b + 8/5*b**3 + 2*b**4 - 32/5 = 0 for b.
-2, -1, 2
Let s be 441/490*(38*(-5)/90 - -3). Factor s*x - 1/5*x**2 - 3/5.
-(x - 3)*(x - 1)/5
Let i(p) be the third derivative of p**5/140 - 1229*p**4/56 - 615*p**3/7 + 410*p**2 - 4*p. Factor i(r).
3*(r - 1230)*(r + 1)/7
Let -1180*c**2 - 2*c**3 - 52721*c + 12940*c - 28644*c + 141610 - 3*c**3 = 0. Calculate c.
-119, 2
Let s = -667 - -678. Let h be (s/(-33))/(35/(-252)). Factor h*p - 2/5*p**2 + 0.
-2