erivative of l**4/8 - 7*l**2/4 + 3*l + 48. Solve r(k) = 0 for k.
-3, 1, 2
Let n(f) be the second derivative of -f**5/70 + 19*f**4/21 - 256*f**3/21 + 480*f**2/7 - 3585*f. Factor n(z).
-2*(z - 30)*(z - 4)**2/7
Suppose 6*n - 14*n = -64. Let u be -2*n/((-4)/1). Let 2*o**5 + 3*o**4 - 4*o**2 - 2*o**3 + 0*o**4 + 5*o**4 - u*o**4 = 0. Calculate o.
-2, -1, 0, 1
Let q = -415 - -415. Find l such that q*l + 14*l - 6*l + 7*l**2 + 60 - 5*l**2 + 14*l = 0.
-6, -5
Let t(l) be the third derivative of l**5/40 + 199*l**4/16 - 50*l**3 + 295*l**2 + 2. What is i in t(i) = 0?
-200, 1
Let n(w) = w + 20. Let u be n(-6). Suppose -3*g = -4*b - 6, -u*b = 3*g - 13*b - 21. Factor -71*t**4 - 4*t**2 + g*t**3 + 146*t**4 - 51*t**4 + 14*t**5.
2*t**2*(t + 1)**2*(7*t - 2)
Let k be (8/((-288)/(-27)))/((-5)/(-4) + -1). Let h(b) be the first derivative of -2/9*b - 12 + 1/18*b**2 + 1/27*b**k. Determine i, given that h(i) = 0.
-2, 1
Let m(b) be the second derivative of b**5/20 - 5*b**4/4 - 11*b**3/2 - 38*b**2 + 78*b. Let u(r) be the first derivative of m(r). Solve u(n) = 0 for n.
-1, 11
Suppose 5*o + 0*o = 900. Suppose -21*a + 17*a - 4*n + 16 = 0, -3*a + 13 = 4*n. Determine f so that -11*f**2 + 14*f**2 + o*f + 57*f**2 + 5*f**a = 0.
-6, 0
Let r(t) be the second derivative of -t**5/40 + 193*t**4/24 - 2254*t**3/3 - 7203*t**2 - 1340*t. Factor r(o).
-(o - 98)**2*(o + 3)/2
Find k such that 1/3*k**5 + 0 + 0*k**2 + 2/3*k**3 + k**4 + 0*k = 0.
-2, -1, 0
Let f(a) = a**3 - 7*a**2 - 14*a - 10. Let i be f(9). Let d be (-32)/(-15) - i/195. What is x in 29*x - 14 - 9*x + 4*x**d + 14 = 0?
-5, 0
Let y be (-5)/(15/(-2))*6930/60. Factor -y*x + 5*x - 135*x**2 + 8 - 19 - 1 - 75*x**3.
-3*(x + 1)*(5*x + 2)**2
Let 62/11*i**2 - 5576/11*i - 360/11 = 0. Calculate i.
-2/31, 90
Let b(z) = -39*z**2 - 93*z - 14. Let h(t) = 4*t**3 - 16 - 167*t + 25*t + 48*t - 3*t**3 - 38*t**2. Let l(d) = -3*b(d) + 4*h(d). What is w in l(w) = 0?
-2, -1/4, 11
Let u(s) = -s**4 - 111*s**3 + 3474*s**2 + 11532*s + 4. Let g(q) = q**4 - 5*q**3 - q**2 - 2. Let l(t) = 4*g(t) + 2*u(t). Solve l(c) = 0.
-3, 0, 62
Determine d, given that 2/7*d**4 - 58/7*d + 60/7 + 10/7*d**3 - 2*d**2 = 0.
-5, -3, 1, 2
Suppose -1478*r + 3144 = 361*r - 944 - 1429. Factor 495/4*q**2 + 57/4 - 339/4*q + 27/4*q**r.
3*(q + 19)*(3*q - 1)**2/4
Let j = -584395/11 + 53131. Let 2/11*x**4 + 24/11 - 56/11*x - 16/11*x**3 + j*x**2 = 0. Calculate x.
1, 2, 3
Let p(b) = 2*b**3 - 11*b**2 - 21*b + 25. Let t be p(7). Let u be 6/(-15) + ((-220)/t)/(-11). Factor 98/5 + 28/5*s + u*s**2.
2*(s + 7)**2/5
Let b = -27574/5 - -5515. Let g(h) be the second derivative of 0*h**2 + 0 + 8*h - b*h**5 + 1/3*h**4 + 4/3*h**3. Factor g(w).
-4*w*(w - 2)*(w + 1)
Let r(m) be the third derivative of m**5/270 - 587*m**4/108 - 196*m**3/9 + 9*m**2 - 4*m - 19. Factor r(a).
2*(a - 588)*(a + 1)/9
Suppose -t + 9 - 230 = 14*x, 0 = -2*t + 5*x + 86. Determine h so that -7/3*h**2 + 5/3*h**4 + 0 + 2*h - 8/3*h**t = 0.
-1, 0, 3/5, 2
Let i(b) = -3*b + 7. Let j be i(3). Let d be ((-128)/2)/(-1) + j. Factor -3 - d*x + 114*x - 58*x - 3*x**2.
-3*(x + 1)**2
Factor -5/3*x**3 + 39015 - 39525*x + 1535/3*x**2.
-5*(x - 153)**2*(x - 1)/3
Let c(k) be the third derivative of k**7/1155 - 43*k**6/330 - 1351*k**5/330 - 1225*k**4/33 + 4*k**2 + 1. Suppose c(v) = 0. Calculate v.
-7, 0, 100
Factor -524*j - 1257*j - 1530*j + 1563 + 291*j - 51 + 4*j**3 + 1504*j**2.
4*(j - 1)**2*(j + 378)
Let c(f) be the first derivative of -f**6/2 + 21*f**5 + 333*f**4/4 + 113*f**3 + 57*f**2 + 1170. Suppose c(t) = 0. What is t?
-1, 0, 38
Let r = 6345 + -6341. Let k(a) be the second derivative of -16*a - 2/35*a**5 + 4/21*a**3 + 0*a**2 + 2/105*a**6 - 1/21*a**r + 0. Find x, given that k(x) = 0.
-1, 0, 1, 2
Let h(b) be the first derivative of -9*b**6/40 + 2*b**5 - 13*b**4/2 + 8*b**3 - 50*b**2 - 80. Let o(v) be the second derivative of h(v). Factor o(s).
-3*(s - 2)**2*(9*s - 4)
Let d(l) = -15*l + 78. Let b be d(4). Let a be b/(-21)*(0 + 3/(-2)). Determine p so that -p**3 + 0 - a*p + 15/7*p**2 + 1/7*p**4 = 0.
0, 1, 3
Solve 98/5*a - 204 - 2/5*a**2 = 0.
15, 34
Let h(f) be the third derivative of f**7/280 + 29*f**6/80 + 219*f**5/80 + 81*f**4/16 + 97*f**2 - 10. Let h(y) = 0. Calculate y.
-54, -3, -1, 0
Let p(g) = 1723*g - 18948. Let j be p(11). Let c(q) be the third derivative of -3 + 1/90*q**j - 13*q**2 - 1/144*q**4 + 0*q + 0*q**3. Factor c(z).
z*(4*z - 1)/6
Let p(r) be the third derivative of 1/36*r**4 + 0 - 1/54*r**5 + 0*r + 1/3*r**3 + 1/540*r**6 - 200*r**2. Factor p(d).
2*(d - 3)**2*(d + 1)/9
Let n(h) = -4*h - 5. Let g be n(1). Let w be 2/(-2 - 0) + 12 + g. Suppose 3*q**4 + 0*q**4 - 16*q + 6 - w*q**2 - 5*q**4 + 14*q**2 = 0. Calculate q.
-3, 1
Factor 2/5*g**4 - 16/5*g**3 + 0 + 0*g - 24/5*g**2 + 2/5*g**5.
2*g**2*(g - 3)*(g + 2)**2/5
Let j(n) be the third derivative of -n**5/30 + 25*n**4/8 + 39*n**3/2 + 2256*n**2. Suppose j(k) = 0. Calculate k.
-3/2, 39
Let l = -267922 + 2411320/9. Factor 1/9*t**3 - 38/9 - l*t**2 + 59/9*t.
(t - 19)*(t - 2)*(t - 1)/9
Let d(j) = -j - 1. Let f be d(-4). Let k be ((-8)/6 - -2)/(15*(-24)/(-3240)). Factor -k*p**f + 3*p**4 + 390*p**2 + 6*p - 390*p**2 - 3.
3*(p - 1)**3*(p + 1)
Let t(w) be the second derivative of -w**5/10 + 17*w**4/3 + 4*w**3/3 - 136*w**2 + 2849*w. Factor t(k).
-2*(k - 34)*(k - 2)*(k + 2)
Let o(u) be the third derivative of -1/15*u**5 + 0*u - 2/3*u**4 - 8/3*u**3 + 0 - 27*u**2. Factor o(v).
-4*(v + 2)**2
Let c(q) be the first derivative of -q**3/3 + 59*q**2/2 + 690*q - 640. Let u be c(69). Factor u + 1/6*a**3 - 2/3*a + 0*a**2.
a*(a - 2)*(a + 2)/6
Let o = 91814/22976623 + -20/5717. Let q = o + 4011/16076. Factor -5/4*w - q*w**2 - 1.
-(w + 1)*(w + 4)/4
Suppose -5*c - 2*t = -15, 10*t + 10 = 8*t. Factor 9 - 50*s**2 + 2 - 5*s**c - 5*s**3 - s**4 + 20*s + 28 + 21*s**4 + 1.
-5*(s - 2)**3*(s + 1)**2
Suppose k = -3*f + 43, 4*f + 136 + 98 = 5*k. Find c such that -12*c + 62*c + 111*c**2 + c**3 + 5*c**4 + k*c**3 - 6*c**2 + 13*c**3 = 0.
-10, -1, 0
Factor 4*x**4 - 24 - 6*x**4 + 0*x**4 - 12*x + 18*x**2 + 0 - x**4 + 3*x**3.
-3*(x - 2)**2*(x + 1)*(x + 2)
Let 108 - 3154*o + 15*o**4 + 50*o**3 + 3014*o - 405*o**2 - 108 = 0. Calculate o.
-7, -1/3, 0, 4
Let c be (495/(-25))/(6/(-20)). Suppose 5*m = -56 + c. Determine z so that -3/4 + 1/2*z + 1/4*z**m = 0.
-3, 1
Let h(w) = 4*w**3 + 216*w**2 + 2344*w - 2639. Let m(a) = -4*a**3 - 216*a**2 - 2348*a + 2628. Let b(i) = 4*h(i) + 5*m(i). Factor b(z).
-4*(z - 1)*(z + 17)*(z + 38)
Factor 0 + 8/3*p**3 + 68*p**2 - 560/3*p.
4*p*(p + 28)*(2*p - 5)/3
Let o(b) be the first derivative of -2*b**6 + 2*b**5 + 31*b**4 + 38*b**3 - 2*b**2 - 16*b - 1158. What is q in o(q) = 0?
-2, -1, -1/2, 1/3, 4
Let w be (-2 + -5 - 35/(-7)) + 9. Suppose w*i + 488 = 502. Factor 20/3*f**3 + 50/3 + 220/3*f**i + 205/3*f.
5*(f + 10)*(2*f + 1)**2/3
Let l = 128/869 + 485/2607. Factor -20/3*f + 8/3*f**2 - l*f**3 + 16/3.
-(f - 4)*(f - 2)**2/3
Let g be (784/(-50))/(26334/945 - 28). Factor 84/5*l + 3/5*l**2 + g.
3*(l + 14)**2/5
Let i = 385291 - 1541161/4. Solve -123/4 - i*s**2 + 63/2*s = 0.
1, 41
Let m(q) = -21*q**3 + 78*q**2 + 114*q - 252. Let s(x) = -3*x**3 + 11*x**2 + 16*x - 36. Let r(l) = 4*m(l) - 27*s(l). Suppose r(g) = 0. What is g?
-2, 1, 6
Let m(s) be the third derivative of 0*s**4 + 0*s**5 + 0 + 1/480*s**6 + 0*s**3 + 93*s**2 + 5/1344*s**8 - 1/140*s**7 + 0*s. Suppose m(h) = 0. What is h?
0, 1/5, 1
Let g be 37036/126 + 16/(-72). Let z = 294 - g. Determine x so that x**3 - 3/7*x**4 - z*x + 0 + 3/7*x**2 - 5/7*x**5 = 0.
-1, 0, 2/5, 1
Let v(m) be the second derivative of m**6/40 - 87*m**5/16 + 9*m**4 + 354*m. Determine b so that v(b) = 0.
0, 1, 144
Let j(o) be the second derivative of o**7/147 + 4*o**6/105 - 3*o**5/70 - o**4/3 - 8*o**3/21 + o + 219. Solve j(c) = 0 for c.
-4, -1, 0, 2
Let q(k) be the first derivative of -2*k**3/45 + 233*k**2/15 + 156*k/5 + 130. Factor q(d).
-2*(d - 234)*(d + 1)/15
Let n(g) be the first derivative of 3645/2*g + 129 - 135/2*g**2 + 5/6*g**3. Factor n(p).
5*(p - 27)**2/2
Let x = 3538 + -24763/7. Let s(t) be the second derivative of -1/70*t**5 + x*t**2 + 22*t + 5/42*t**4 - 1/3*t**3 + 0. Solve s(d) = 0 for d.
1, 3
Let h be (-1424)/(-195) + (-2856)/27846. Let 0*x**2 + 4/5*x**3 + 0 - h*x = 0. Calculate x.
-3, 0, 3
Let k(h) be the first derivative of 289*h**4/22 - 3536*h**3/33 + 205*h**2/11 - 12*h/11 + 1541. Factor k(s).
2