 the second derivative of -1/10*u**5 + 13 - 1/2*u**4 - 3*u - 4/3*u**3 - 1/120*u**6 - 2*u**2. Determine v so that d(v) = 0.
-2
Suppose 9*q = -11 + 119. Suppose 0 = 5*o - q - 33. Let 6*w - 11*w + 3*w**4 - o*w**2 - 16*w + 18 + 10*w**3 - w**3 = 0. What is w?
-3, -2, 1
Let x(u) be the second derivative of -2*u**6/15 - 31*u**5/5 - 103*u**4/3 + 90*u**3 - 1489*u. Factor x(m).
-4*m*(m - 1)*(m + 5)*(m + 27)
Let f be (22/5 - 4)/(254/1270). Solve -1/4*t**f - 169 + 13*t = 0 for t.
26
Let s = -12456 + 12456. Determine n so that 2/3*n**2 + 0 + s*n - 2/3*n**3 = 0.
0, 1
Let x(u) be the third derivative of u**3 - 42*u**2 + 1/100*u**5 + 1/1800*u**6 + 3/40*u**4 + 0*u + 0. Let h(v) be the first derivative of x(v). Factor h(g).
(g + 3)**2/5
Let m be (-1)/(-3) + 141/9. Let u(n) = -n**2 + 15*n + 18. Let f be u(m). Find r such that -14*r - 25*r - 9*r**f + 27*r + 3*r**4 + 6*r**3 + 3 + 9 = 0.
-2, 1
Let b(l) be the first derivative of -5*l**6/6 + 18*l**5 - 405*l**4/4 - 560*l**3/3 + 2400*l**2 + 2947. Suppose b(t) = 0. What is t?
-3, 0, 5, 8
Let i(d) be the third derivative of -d**7/5040 - d**6/360 + d**5/80 + 7*d**4/72 - 245*d**3/6 + d**2 + 16. Let j(h) be the first derivative of i(h). Factor j(n).
-(n - 2)*(n + 1)*(n + 7)/6
What is v in -144/5*v**2 + 156/5*v**3 + 0*v - 48/5*v**4 + 0 + 3/5*v**5 = 0?
0, 2, 12
Let i(z) be the first derivative of z**4/2 - 12*z**3 - 208*z**2 + 3243. Let i(h) = 0. What is h?
-8, 0, 26
Suppose 163 = 12*d - 29. Find w such that -16*w**5 - 11*w**2 + 18*w - 5*w**2 - 20*w**3 + 41*w**5 + 16*w**4 - 7*w**5 - d*w**5 = 0.
-9, -1, 0, 1
Let j be 2*2*(-7)/((-364)/4). Let m(d) = -d - 6. Let b be m(-6). Factor -2/13*a**2 + b - j*a.
-2*a*(a + 2)/13
Suppose -8*d + 252 = -2*d. Let w be (-21)/(-6)*36/d. Determine s, given that 86 + 4*s**3 - 2*s**w - 78 - 6*s**2 = 0.
-1, 2
Find a such that 900/7 - 3/7*a**3 - 480/7*a + 69/7*a**2 = 0.
3, 10
Suppose -5*u - 183 = -3*h - 348, -u = -4*h - 16. Suppose 93/2*l + 7/2*l**5 - 7 - 101*l**2 - u*l**4 + 94*l**3 = 0. What is l?
2/7, 1, 7
Let q be -1*1*32/(-56). Let s = 20361 + -142523/7. Determine m, given that 0 + 0*m - s*m**2 - q*m**3 = 0.
-1, 0
Let n(s) be the third derivative of -s**8/11200 + s**6/48 + 97*s**4/12 + 9*s**2 - 2*s. Let o(g) be the second derivative of n(g). Solve o(i) = 0.
-5, 0, 5
Let k(l) = 2*l**2 + 382*l + 11398. Let i be k(-37). Let n = 114 + -338/3. Factor 0 + 4/3*s**4 - 16/3*s + n*s**3 - 16/3*s**i.
4*s*(s - 2)*(s + 1)*(s + 2)/3
Let a(y) = 22*y**2 - 544*y + 1168. Let l(t) = 8*t**2 - 181*t + 390. Let k(p) = -5*a(p) + 14*l(p). What is i in k(i) = 0?
-95, 2
Let z(g) be the first derivative of -2*g**3/21 - 346*g**2/7 + 694*g/7 - 327. Factor z(w).
-2*(w - 1)*(w + 347)/7
Let z = 147 - -333. Let y = z + -2384/5. Factor -12/5*a**2 - y + 2/5*a**3 + 24/5*a.
2*(a - 2)**3/5
Let c(b) be the third derivative of 1/15*b**5 + 0 + 10/3*b**3 + 0*b + b**4 + 42*b**2. Suppose c(a) = 0. What is a?
-5, -1
Let v = -52 - -28. Let x(i) = -7*i**3 - 2*i**2 - 11*i. Let m(g) = -121 - 6*g + 7*g + g**3 + 121. Let h(z) = v*m(z) - 3*x(z). Factor h(k).
-3*k*(k - 3)*(k + 1)
Let s = 262 - 259. Suppose -s*t - 20*t = -69. Factor 3/2*c**2 + 3/4*c - 3/2 - 3/4*c**t.
-3*(c - 2)*(c - 1)*(c + 1)/4
Let q(n) = -9*n**3 + 12*n**2 - 21*n + 11. Let p = 71 - 65. Let w(l) = -5*l**3 + 6*l**2 - 10*l + 6. Let i(a) = p*q(a) - 11*w(a). Factor i(r).
r*(r - 2)*(r + 8)
Suppose 0 = 5*u - 6*u - 3*p + 11, -3*p + 9 = 0. Factor -3*n**2 - 2*n + 8*n - 7*n**u + 38*n - 48.
-2*(n - 2)*(5*n - 12)
Solve 1/12*h**3 - 1169/12*h + 293/4 + 289/12*h**2 = 0.
-293, 1, 3
Let q(f) be the second derivative of f**6/30 - 3*f**5/5 + 4*f**4/3 - 199*f**2/2 + 92*f. Let a(v) be the first derivative of q(v). What is l in a(l) = 0?
0, 1, 8
Let o be 6*(-2)/(-4)*1 + 47. Let q = 55 - o. Find t such that q*t + 4*t - 4*t - 2*t - 9 + 12*t**2 = 0.
-1, 3/4
Let n be (774/(-344))/(2 - 81/40). Suppose -5*h = -4*s - 2, 0 = -85*h + n*h + 3*s - 16. Factor 0*k**h + 0*k + 1/2*k**4 + 1/4*k**5 + 1/4*k**3 + 0.
k**3*(k + 1)**2/4
Let c(p) be the first derivative of -1/7*p**3 + 90 - 12/7*p**2 + 27/7*p. Suppose c(u) = 0. Calculate u.
-9, 1
Let i(u) be the first derivative of -26*u**3/21 - 121*u**2/7 + 484*u/7 - 8773. What is r in i(r) = 0?
-11, 22/13
Find a such that 19/3*a**2 + 64/3*a + 1/3*a**3 + 20 = 0.
-15, -2
Let g(a) be the third derivative of 1/360*a**6 + 0*a - 2312/9*a**3 + 595/9*a**4 + 117 - 2*a**2 - 137/180*a**5. Determine z so that g(z) = 0.
1, 68
Let w(j) be the third derivative of 3*j**6/80 + 17*j**5/20 + 11*j**4/16 + 1370*j**2. Solve w(t) = 0 for t.
-11, -1/3, 0
Solve -1545*i**4 - 90*i + 2830*i**2 - 208 + 30*i**5 + 3060*i**3 + 2120*i**4 - 197 = 0 for i.
-9, -1, -1/2, 1/3
Let a(o) be the first derivative of -19/8*o**4 + 110 - 1/12*o**3 + 2*o + 1/6*o**6 - 7/20*o**5 + 17/4*o**2. Determine v so that a(v) = 0.
-2, -1, -1/4, 1, 4
Suppose -5*v + 0*v = -260. Suppose 210 = 4*h + 3*p, -4*h - 2*p + v = -160. Factor -c + 54 + c**2 - h.
c*(c - 1)
Suppose -7*a + 3*a + 5*l = 12, 18 = 5*a + 2*l. Factor 173*k + 11*k**a - 167*k - 13*k**2.
-2*k*(k - 3)
Let m(l) be the third derivative of l**5/90 - 19*l**4/36 - 20*l**3/9 + 476*l**2 + 3. Suppose m(w) = 0. What is w?
-1, 20
Suppose -30*i + 862 = 82. Factor 14*d - 48*d**3 - 10*d + 18*d**3 + i*d**2.
-2*d*(d - 1)*(15*d + 2)
Let r(z) be the second derivative of 3*z + 9/7*z**2 - 20 + 25/14*z**3 + 1/7*z**4. Find x such that r(x) = 0.
-6, -1/4
Let r(s) be the second derivative of -5/24*s**4 + 0 - 1/6*s**5 - 1/24*s**6 - 3*s**2 + 37*s + 0*s**3. Let n(f) be the first derivative of r(f). Factor n(z).
-5*z*(z + 1)**2
Let i = -7 + 10. Determine c so that c - i*c**3 + 248*c**2 - 246*c**2 + 0*c**3 = 0.
-1/3, 0, 1
Let h(c) = -50*c**2 + 95*c + 25. Let z(v) = 26*v**2 - 47*v - 15. Let j(p) = -2. Let q(x) = j(x) - z(x). Let t(s) = 4*h(s) - 7*q(s). Factor t(l).
-3*(l - 3)*(6*l + 1)
Find g such that 14*g**2 - 2/11*g**3 - 152/11*g + 0 = 0.
0, 1, 76
Let k be 1/(336/66 + -5). Suppose -18*n**3 - 4*n + 320*n**2 - n**4 - 2*n**5 + k*n**4 - 306*n**2 = 0. Calculate n.
0, 1, 2
Let p be 150/205*(6 + 603/(-104)). Let h = p + 1/164. Find m such that 4/13*m - h - 4/13*m**3 + 2/13*m**4 + 0*m**2 = 0.
-1, 1
Let h be -5 + (8/4 - 1). Let f be (h/(-6))/((-8)/(-48)). Factor i**5 + 4*i**3 + f*i**3 - i**2 - 9*i**3 + 0*i**4 + i**4.
i**2*(i - 1)*(i + 1)**2
Let u(a) be the third derivative of -a**6/24 - 47*a**5/3 + 475*a**4/6 + 118*a**2 - 8*a. Factor u(c).
-5*c*(c - 2)*(c + 190)
Let c(q) = -4*q**2 - 732*q + 668. Let g(n) = -4*n**2 - 733*n + 686. Let o(r) = -3*c(r) + 4*g(r). Find i such that o(i) = 0.
-185, 1
Let z(x) be the second derivative of x**5/120 + x**4/3 - 3*x**3/4 - 25*x**2/6 + 5461*x. Factor z(o).
(o - 2)*(o + 1)*(o + 25)/6
Let i(u) be the third derivative of -2/1155*u**7 + 79*u**2 + 0*u**5 + 0 + 0*u**4 - 1/220*u**6 + 0*u**3 + 0*u + 1/1848*u**8. Suppose i(v) = 0. What is v?
-1, 0, 3
Let h(d) be the first derivative of -3*d**4/20 - 19*d**3/3 + 587*d**2/10 - 37*d - 3525. Factor h(f).
-(f - 5)*(f + 37)*(3*f - 1)/5
Suppose -518 = 5*z - 19*z. Factor -4*s**2 - 113*s - 39 + 193*s - z.
-4*(s - 19)*(s - 1)
Let w(z) be the first derivative of -27*z**6/10 - 2961*z**5/25 + 5443*z**4/10 - 10876*z**3/15 + 1676*z**2/5 - 64*z - 7896. Solve w(j) = 0 for j.
-40, 2/9, 1, 2
Solve -6240/11*p + 338/11*p**2 + 28800/11 = 0 for p.
120/13
Suppose -4*d + 5*q - 25 = 0, 3*q + 9 = 2*q + 14. Suppose 0*g**2 + 2/17*g**5 + d*g + 0 + 24/17*g**3 - 16/17*g**4 = 0. Calculate g.
0, 2, 6
Let m(x) be the third derivative of x**5/10 - 53*x**4/24 + 35*x**3/2 + 27*x**2 - 9*x + 2. Factor m(p).
(p - 3)*(6*p - 35)
Let v(d) = d - 8. Let w = 19 - 9. Let p be v(w). What is f in -2/3*f**3 + 0 - 4/3*f + 2*f**p = 0?
0, 1, 2
Let c(a) = -a**3 - 18*a**2 + 1148*a + 23762. Let x be c(-23). Find v such that -6/5*v**x + 3/5*v**4 + 0*v + 3/5*v**2 + 0 = 0.
0, 1
Suppose 4*h = -o - 5, -4*o + 0*h = -h - 65. Suppose -t - 3*b - 11 = 2*b, -b - o = -3*t. Factor -l**5 - 2*l**5 + 9*l**3 + 2*l**5 + 4*l**5 + 10*l**t + 2*l**2.
l**2*(l + 1)*(l + 2)*(3*l + 1)
Let j be (1/6)/(5/60). Let w(z) be the third derivative of 8*z**j + 0*z + 20*z**6 + 0*z**3 + 1/84*z**8 + 5000/3*z**4 + 800/3*z**5 + 16/21*z**7 + 0. Factor w(y).
4*y*(y + 10)**4
Let n(l) be the third derivative of -l**6/780 - l**5/26 - l**4/4 + 55*l**3/39 + 1932*l**2. Factor n(t).
-2*(t - 1)*(t + 5)*(t + 11)/13
Let r(d) = -6*d**2 - 