ive of l**6/9 - 68*l**5/3 + 7225*l**4/6 - 419. Factor p(r).
2*r**3*(r - 85)**2/3
Let o = -68 + 72. Let j = -53 + 57. Let -3*k + j*k - 4*k**o + 20*k**5 - k = 0. Calculate k.
0, 1/5
Let l(p) = -4*p**3 - 2*p**2 + 2*p - 5. Let h(a) = -a**3 + a - 1. Let k(t) = -2*t + 0 + 15 - 2. Let j be k(9). Let o(m) = j*h(m) + l(m). What is b in o(b) = 0?
-1, 0, 3
Let q(i) be the first derivative of i**4/2 + 4624*i**3/3 + 1336336*i**2 + 24. Solve q(o) = 0.
-1156, 0
Let q(i) be the second derivative of -i**4/18 - 12*i**3 + 109*i**2/3 - 1740*i. Determine h, given that q(h) = 0.
-109, 1
Let v(m) be the second derivative of 845/4*m**2 - 65/6*m**3 + 43*m - 3 + 5/24*m**4. Suppose v(n) = 0. Calculate n.
13
Let y(t) be the second derivative of t**4/42 - 11*t**3/21 + 24*t**2/7 - 68*t + 1. Factor y(r).
2*(r - 8)*(r - 3)/7
Let j = 301/124 - 73/62. Let h(k) be the first derivative of 25/2*k**2 + 0*k - 10*k**3 - 4 + j*k**4. Factor h(y).
5*y*(y - 5)*(y - 1)
Let l(t) be the third derivative of -t**8/15680 + t**7/980 - t**6/140 + t**5/35 - 35*t**4/24 + 22*t**2. Let m(z) be the second derivative of l(z). Factor m(j).
-3*(j - 2)**3/7
Let u be (-22)/55*-5*(-19 - -1). Let m be (((-320)/u)/4)/(3 - 1). Let 8/9*g**3 - 14/9*g - m*g**2 + 4/9 = 0. Calculate g.
-1, 1/4, 2
Let p(w) be the third derivative of 2*w**7/105 + w**6/30 - 2*w**5/3 + 4*w**4/3 + w**2 - 2*w - 200. Solve p(n) = 0 for n.
-4, 0, 1, 2
Let -61 + 6*g**2 - 56 + 3*g + 182 - 65 = 0. What is g?
-1/2, 0
Solve 45/2*z**2 + 39*z + 0 + 3/2*z**3 = 0.
-13, -2, 0
Let d be 10/(-4) + ((-1869)/(-19936))/(2/64). Find s, given that d*s**4 + 11/2*s**3 - 1/2*s**2 + 0 - 11/2*s = 0.
-11, -1, 0, 1
Factor 1344*p - 1328*p**2 + 335*p**3 - 15*p**3 - 595*p**4 + 599*p**4.
4*p*(p - 2)**2*(p + 84)
Let f be (-19)/(2128/10)*-16*(-14)/(-9). Solve 4/3*v**3 + f*v + 2/9*v**4 + 2/3 + 8/3*v**2 = 0 for v.
-3, -1
Let c(f) be the third derivative of 4*f - 7/360*f**6 + 0 + 1/60*f**5 + 1/9*f**3 - 2*f**2 + 7/72*f**4 - 1/126*f**7. Let c(p) = 0. What is p?
-1, -2/5, 1
Let t be 112/8*18/63. Let b(h) be the second derivative of 0 + 1/14*h**5 - 7*h + 0*h**6 - 4/21*h**3 - 1/147*h**7 + 0*h**t + 0*h**2. Suppose b(q) = 0. What is q?
-2, -1, 0, 1, 2
Let w(n) = 4*n**3 + 117*n**2 + 308*n + 100. Let l(a) = 10*a**3 + 292*a**2 + 770*a + 260. Let o(z) = -5*l(z) + 12*w(z). Factor o(b).
-2*(b + 1)*(b + 2)*(b + 25)
Let n = -2904 + 2904. Let b(i) be the first derivative of 31 - 2/7*i**2 - 2/7*i**3 - 1/14*i**4 + n*i. Find d, given that b(d) = 0.
-2, -1, 0
Let p(a) be the third derivative of -19*a**6/6 + 23*a**5/3 - 175*a**4/24 + 10*a**3/3 - 10*a**2 - 2*a - 133. Let p(g) = 0. What is g?
4/19, 1/2
Let x(p) be the second derivative of -6/5*p**5 - 1/14*p**7 - 25*p + 3/5*p**6 - 6*p**2 - 1/2*p**4 + 0 + 9/2*p**3. Factor x(b).
-3*(b - 4)*(b - 1)**3*(b + 1)
Let j = 247 - 224. Factor 49 - 3*v**2 - 18*v - 25 - j - 16.
-3*(v + 1)*(v + 5)
Let b(m) be the third derivative of -m**7/273 - 3*m**6/20 + 199*m**5/390 - 9*m**4/52 - 50*m**3/39 - 1735*m**2. Let b(c) = 0. Calculate c.
-25, -2/5, 1
Let y(w) be the second derivative of -3*w**6/10 - 57*w**5/20 - 15*w**4/2 - 4*w**3 + 409*w. Find q such that y(q) = 0.
-4, -2, -1/3, 0
Let f = -10 + 281. Let s = f + -269. Factor 2/3*d - 2/3*d**3 + 2/3*d**4 - s*d**2 + 4/3.
2*(d - 2)*(d - 1)*(d + 1)**2/3
Let l(o) be the second derivative of -o**4/12 + 3*o**3 + o**2 + 20*o. Let b be l(18). Find y, given that 2*y**b - 12*y**2 + 44*y - 4 - 12 = 0.
2/5, 4
Suppose 0 = -k + 3*w + 23, w = -k + 6*k - 185. Suppose -200 = -k*t + 30*t. Find v, given that -125/2 - 5/2*v**2 + t*v = 0.
5
Let m = -2/556961 + 2227850/1670883. What is c in 10/3*c**4 + 0 - 2*c**5 + m*c - 10/3*c**2 + 2/3*c**3 = 0?
-1, 0, 2/3, 1
Let f = 28 + -25. Suppose 0 = f*m + 3*g - 3, 0*m + 2*m - 4*g - 8 = 0. Factor -24*d + 2*d**m + 45 + 27 + 0*d + 0*d**2.
2*(d - 6)**2
Let g(o) = 1 + 16 + o - 13. Let c be g(-2). Determine y, given that -2*y**4 + c*y**3 - 20*y + 7*y + 5*y**3 - y**5 + 4*y**2 - y**3 + 6 = 0.
-3, -2, 1
Suppose -3*z = -5*p - 105, 6 = -z - 7*p + 15. Factor -54*d**2 - z*d**3 - 12 + 56*d + 25/4*d**4.
(d - 6)*(d + 2)*(5*d - 2)**2/4
Suppose 34*g - 32*g - 4 = 0. Let 7*x - x + 350*x**g + 3*x**3 - 165*x**2 - 176*x**2 = 0. Calculate x.
-2, -1, 0
Let r(u) be the first derivative of -11/8*u**2 - 3/2*u - 1/16*u**4 - 19 - 1/2*u**3. Factor r(j).
-(j + 1)*(j + 2)*(j + 3)/4
Let x(q) = q**2 + 13*q - 34. Let d be x(11). Suppose 7*i = 2*i + d. Factor -80*t + 7*t**3 + 50*t**2 - 14 - 27*t**3 + i + 16*t**2 + 2*t**4.
2*(t - 4)**2*(t - 1)**2
Let p = 58 - 59. Let c(w) be the second derivative of -w**3/6 - 11*w. Let s(a) = 8*a**2 + 10*a. Let i(v) = p*s(v) - 6*c(v). Suppose i(z) = 0. What is z?
-1/2, 0
Let -905*k**3 - 423 - 6510*k**2 + 945*k**3 + 4865*k - 387 = 0. What is k?
1/4, 1/2, 162
Let m be 70 - 79/(12482/(-28677)). Factor m*o**2 - 74/3*o + 2/3 - 1295/3*o**3 + 1225/6*o**4.
(o - 1)**2*(35*o - 2)**2/6
Let h = 1462/3 - 1460/3. Let s(t) be the first derivative of h*t - 1/6*t**2 - 18 + 1/12*t**4 - 2/9*t**3. Factor s(l).
(l - 2)*(l - 1)*(l + 1)/3
Let q = -683824 + 683826. Factor -3/2*c**3 + 22*c + 12 + 5*c**q.
-(c - 6)*(c + 2)*(3*c + 2)/2
Let l(u) be the first derivative of -7*u**4/18 + u**3/3 + 10*u**2/3 + 15*u + 212. Let a(n) be the first derivative of l(n). Determine d, given that a(d) = 0.
-1, 10/7
Let i(v) be the third derivative of v**6/1980 - v**5/330 - v**4/44 - 100*v**3/3 + 154*v**2. Let k(h) be the first derivative of i(h). Factor k(u).
2*(u - 3)*(u + 1)/11
Let z = -57 - -61. What is s in -16*s**z - 2*s**3 - 7*s**4 + 192*s**5 - 185*s**5 + 8*s**3 = 0?
0, 2/7, 3
Let x(m) be the first derivative of -1/30*m**5 - 1/120*m**6 + 0*m**3 - 1/24*m**4 - 1 + 0*m - 29/2*m**2. Let u(w) be the second derivative of x(w). Factor u(y).
-y*(y + 1)**2
Let t(b) be the first derivative of b**4/4 - 133*b**3/3 + 771*b**2/2 - 1143*b - 1614. Determine q, given that t(q) = 0.
3, 127
Let q(r) be the first derivative of 4*r**3/3 - 44*r**2 + 160*r + 178. Factor q(o).
4*(o - 20)*(o - 2)
Suppose 0 + 3*g**2 - 36*g - 1/2*g**4 + 7/2*g**3 = 0. Calculate g.
-3, 0, 4, 6
Let o be (-124)/93*12/32 + (-15)/(-6). Factor -9/2*n**o - 7/2 + 15/2*n + 1/2*n**3.
(n - 7)*(n - 1)**2/2
Let t = 624 + -569. Let -24 + 4*c**2 - 47 - t*c + 5*c**3 + 11 + 6*c**2 = 0. Calculate c.
-4, -1, 3
Let h(o) be the first derivative of -25/4*o**4 - 49*o - 7/4*o**5 - 1 - 15/2*o**3 - 1/6*o**6 + 0*o**2. Let u(z) be the first derivative of h(z). Factor u(v).
-5*v*(v + 1)*(v + 3)**2
Let t(w) be the first derivative of -5*w**6/8 + 24*w**5/5 + 219*w**4/16 - 106*w**3 + 327*w**2/2 - 84*w + 1136. Solve t(a) = 0.
-4, 2/5, 1, 2, 7
Let q(m) be the third derivative of 0*m - 2/15*m**3 - 1/24*m**4 - 1/300*m**5 + 0 - 230*m**2. Determine f, given that q(f) = 0.
-4, -1
Let i(y) = 66*y**3 - 38*y**2 + 160*y - 41. Let w(z) = 4*z**3 + 2*z**2 - 2*z + 1. Let q(l) = 2*i(l) - 30*w(l). Solve q(s) = 0.
1/3, 4, 7
Let i(n) be the second derivative of 2*n**5/5 - 29*n**4/150 + n**3/75 - 7*n - 88. Suppose i(v) = 0. What is v?
0, 1/25, 1/4
Let z(d) = 1621*d - 3240. Let v be z(2). Let o(f) be the second derivative of -1/2*f**4 - 16*f + 0 - 7/2*f**3 + 6*f**v. Suppose o(i) = 0. Calculate i.
-4, 1/2
Let b(x) = 3*x**2 + 81*x + 384. Let c be b(-6). Suppose 21*k - c - 45/2*k**2 + 27/4*k**3 = 0. What is k?
2/3, 2
Factor 3917184/5*n + 1055028224/5 + 2/5*n**3 + 4848/5*n**2.
2*(n + 808)**3/5
Determine r so that 0 - 51/2*r**2 + 3/4*r**3 - 114*r = 0.
-4, 0, 38
Factor 2/5*a**2 - 2736/5*a - 2738/5.
2*(a - 1369)*(a + 1)/5
Let q(j) be the first derivative of -j**3/3 - 17*j**2 - 189*j + 1102. Factor q(r).
-(r + 7)*(r + 27)
Factor -1/2*i**2 - 1763*i - 3108169/2.
-(i + 1763)**2/2
Determine o so that 2 + 1/6*o**3 + 10/3*o + 3/2*o**2 = 0.
-6, -2, -1
Let d(v) = 4*v**3 - 23*v**2 - 5*v + 2. Let j be d(6). Let a be (-164)/16 + j + 3. Solve 0 + a*c**2 + 1/4*c**3 + 0*c = 0 for c.
-3, 0
Let l = -171 + 177. Let g(j) = 2*j**2 - j + 2. Let o be g(1). Suppose w**4 - 8*w**2 + 2*w**o + l*w**4 - 2*w + w**4 = 0. What is w?
-1, -1/4, 0, 1
Let l(j) = 18*j - 35. Let g be l(-6). Let q be (-2)/(-2) + (g/17)/11. Factor -q*v + 2/17*v**2 + 0.
2*v*(v - 2)/17
Let b = -81 - -83. Let n(m) = m**2 + 5*m - 20. Let t be n(-8). Let 20*w**2 - 95*w**b - 21*w**5 + 18*w**5 - 105*w**3 - 33*w**t = 0. What is w?
-5, -1, 0
Let j = -243 + 290. Factor 17*f**2 + 39 + 0*f**3 - j - 4*f