erivative of 2/15*v**3 - 2/5*v**2 + h*v**6 - 1/25*v**5 + 1/20*v**4 - 13*v + 0. Factor a(p).
(p - 2)**2*(p - 1)*(p + 1)/5
Let l(i) be the second derivative of -3*i**4/20 + 1159*i**3/10 + 1161*i**2/5 + 3364*i. Find o, given that l(o) = 0.
-2/3, 387
Let r(q) be the second derivative of 5*q**4/12 + 50*q**3 - 82*q - 3. Factor r(v).
5*v*(v + 60)
Let h be (15/((-825)/(-10)))/((-5)/(-55)). Let z(t) be the second derivative of 25/8*t**h + 5/12*t**3 + 1/48*t**4 + 0 - 5*t. Determine w, given that z(w) = 0.
-5
Let g be ((-66)/(-165))/(3 + 974/(-330)) + (-182)/26. Solve 7/2 - 2*h**2 - g*h - 1/4*h**3 = 0.
-7, -2, 1
Let t(r) be the second derivative of 1 + 1/72*r**4 + 0*r**2 - 1/180*r**6 + 0*r**3 + 0*r**5 - 14*r. Factor t(k).
-k**2*(k - 1)*(k + 1)/6
Let n = 3060 + -3055. Let y(s) be the second derivative of 0*s**3 + 5*s + 1/66*s**4 + 1/110*s**n + 0 + 0*s**2. Find o, given that y(o) = 0.
-1, 0
Let o(f) be the first derivative of f**6/27 + 10*f**5/9 + 145*f**4/18 + 10*f**3 - 34*f**2 + 4346. Solve o(r) = 0.
-17, -6, -3, 0, 1
Let m(c) be the first derivative of -26*c - 22*c**2 - 10/3*c**3 + 2*c**4 + 55. Factor m(o).
2*(o + 1)**2*(4*o - 13)
Let z be (1168/3942)/(-8 + (-5291)/(-660)). Factor -52/9*p - z - 4/9*p**2.
-4*(p + 5)*(p + 8)/9
Let i(n) be the third derivative of -n**8/20160 + n**6/180 + n**5/5 - 2*n**2 + 16*n. Let o(g) be the third derivative of i(g). Solve o(x) = 0.
-2, 2
Let v(c) be the second derivative of c**5/35 - 23*c**4/21 - 292*c**3/21 + 48*c**2 + c + 2273. Factor v(d).
4*(d - 28)*(d - 1)*(d + 6)/7
What is o in -412*o**2 - 498*o**2 - 3020*o + 5*o**3 + 219*o**2 - 3040 - 229*o**2 + 180*o**2 = 0?
-2, 152
What is f in 2464*f**2 - 544*f**3 - 3620*f + 5120*f**2 + 448 + 195*f**4 - 132*f**2 - 259*f**4 = 0?
-16, 1/4, 7
Let o(h) = h**2 + 3*h - 7. Let m be 26/39*(-15)/2. Let u be o(m). Suppose 17*n**2 - 45*n**2 - 15*n - 5*n**u + 28*n**2 + 15*n**2 + 5 = 0. What is n?
1
Let t be (6/(-5))/(-18*5/(-300)). Let p be ((-20)/15)/(t/54*6). What is o in 0*o - 3/7*o**p + 0 - 3/7*o**2 = 0?
-1, 0
Factor -52437/4*g - 1/4*g**3 - 115*g**2 + 53361/2.
-(g - 2)*(g + 231)**2/4
Let u(w) be the second derivative of 5*w**4/12 - 1295*w**3/6 + 645*w**2 - 1475*w. Factor u(z).
5*(z - 258)*(z - 1)
Let w = -2558 - -12874/5. Let d = -914/55 + w. Factor d*m**2 + 50/11 + 20/11*m.
2*(m + 5)**2/11
Let -20*o + 1/4*o**2 - 609/4 = 0. What is o?
-7, 87
What is q in -450/7 - 2/7*q**2 - 100/7*q = 0?
-45, -5
Let i(f) be the first derivative of f**5/420 - 5*f**4/42 - 22*f**3/21 - 17*f**2/2 + 160. Let g(l) be the second derivative of i(l). Factor g(k).
(k - 22)*(k + 2)/7
Let c(w) be the third derivative of w**7/42 - 133*w**6/8 + 3366*w**5 - 49005*w**4/2 - 1913*w**2 - 4*w - 1. Let c(n) = 0. What is n?
0, 3, 198
Let p(k) be the third derivative of -k**5/720 + 25*k**4/72 - 91*k**3/8 - 8547*k**2. Let p(n) = 0. What is n?
9, 91
Factor 0 - 2/9*s**4 - 24*s**3 + 12100/9*s - 1870/3*s**2.
-2*s*(s - 2)*(s + 55)**2/9
Factor -1008/5 + 1518/5*r - 513/5*r**2 + 3/5*r**3.
3*(r - 168)*(r - 2)*(r - 1)/5
Let h(o) be the third derivative of o**7/42 + 23*o**6/12 - 49*o**5/3 + 125*o**4/3 + 32*o**2 + 15*o. Find r such that h(r) = 0.
-50, 0, 2
Let n(l) be the third derivative of 0 + 0*l**3 + 0*l - 2/105*l**7 - 1/84*l**8 - l**4 + 7/30*l**6 - 145*l**2 + 1/15*l**5. Determine u so that n(u) = 0.
-3, -1, 0, 1, 2
Let v(l) be the third derivative of 0 - 20/21*l**4 - 130*l**2 - 1/105*l**6 + 0*l - 50/21*l**3 - 17/105*l**5. Solve v(c) = 0.
-5, -5/2, -1
Let d = 1/42 - -17/168. Let x be (1/(16/12))/((-51)/(-17)). Factor x*l**4 + 0*l**3 + 0 - d*l + 1/8*l**5 - 1/4*l**2.
l*(l - 1)*(l + 1)**3/8
Factor 74 + c**2 + 7*c**2 - 10*c**2 + 69 + 142*c + c**2.
-(c - 143)*(c + 1)
Let p(c) = 5*c - 14. Let o be p(14). Let a = 63 - o. Determine u so that -4 - 74*u**3 - 4*u**4 + 24*u**2 - a + 70*u**3 - 21 + 16*u = 0.
-2, 1, 2
Let c(h) be the second derivative of -h**5/4 - 155*h**4/6 - 4805*h**3/6 - 5155*h. Find l, given that c(l) = 0.
-31, 0
Let d be 8*((-383)/(-32172))/((-4)/(-18)). Factor 192/7 - 48/7*x + d*x**2.
3*(x - 8)**2/7
Let r(t) be the second derivative of -t**5/70 + 19*t**4/42 + 68*t**3/7 + 324*t**2/7 + 58*t - 44. Suppose r(n) = 0. Calculate n.
-6, -2, 27
Suppose -5*z = -11*z + 24. Suppose 2*a - 119 = -l, z*a + 365 - 28 = 3*l. Determine d, given that 4*d**2 + 14*d**2 - d**3 - 108*d - l + 331 = 0.
6
Let w = 10941/2 - 5468. Let j(q) be the first derivative of w*q**4 + 6 + 5/3*q**3 - 5*q**2 + 0*q - q**5. Factor j(h).
-5*h*(h - 2)*(h - 1)*(h + 1)
Factor 108/11*t - 2/11*t**2 + 992/11.
-2*(t - 62)*(t + 8)/11
Let u(f) = -7*f**2 + 873*f - 8538. Let i be u(114). Suppose 81/2*o + 43*o**3 + i*o**4 + 10 + 62*o**2 + 1/2*o**5 = 0. What is o?
-20, -1
Let d(l) be the third derivative of 0*l**4 + 0 + 0*l + 0*l**3 - 5/336*l**8 + 7/24*l**6 - 5*l**2 - 1/21*l**7 - 1/3*l**5. Determine s so that d(s) = 0.
-4, 0, 1
Let g(j) be the second derivative of -j**5/5 + 74*j**4/3 + 302*j**3/3 + 152*j**2 + 4289*j - 1. Solve g(u) = 0 for u.
-1, 76
Let l = 154/9 - 148/9. Let h(q) be the first derivative of 0*q - l*q**2 + 2/9*q**3 - 12. Factor h(u).
2*u*(u - 2)/3
Solve 40*u + 12/7*u**5 + 92/7*u**4 - 64/7 - 68/7*u**3 - 36*u**2 = 0.
-8, -2, 1/3, 1
Let j(f) = -2*f**2 + 11*f - 1. Let h(q) = -3*q**2 + 16*q - 1. Let t(v) = -5*h(v) + 7*j(v). Let k be t(4). Factor -s**2 + 2*s**2 + 2*s**2 - s - k*s**2.
s*(s - 1)
Factor 4/7*j**2 + 4600/7*j + 1322500/7.
4*(j + 575)**2/7
Let w(i) be the second derivative of -i**4/6 - 142*i**3/3 + 143*i**2 - 1136*i. Factor w(x).
-2*(x - 1)*(x + 143)
Let k(h) = -h**3 - h**2 - 6. Let z(i) = -7*i**3 - 322*i**2 + 635*i - 354. Let x(o) = -6*k(o) + z(o). Suppose x(n) = 0. Calculate n.
-318, 1
Let j(w) = -15*w**2 - 195*w + 168. Let v(l) = -39*l**2 + 71*l**2 + 6*l - 34 - 29*l**2 + 33*l. Let k(t) = -4*j(t) - 21*v(t). Factor k(u).
-3*(u - 1)*(u + 14)
Let h(o) be the third derivative of -o**5/15 + 7*o**4/2 + 1640*o**3/3 - 1238*o**2. Factor h(j).
-4*(j - 41)*(j + 20)
Let 36*f - 170 + 11*f**4 - 74*f**2 - 173 - 9*f**3 + 7*f**4 - 164 + 515 = 0. What is f?
-2, -1/6, 2/3, 2
Let y(d) be the second derivative of -d**6/270 - d**5/60 + 59*d**4/108 - 35*d**3/18 + 25*d**2/9 - 26*d - 4. Factor y(h).
-(h - 5)*(h - 1)**2*(h + 10)/9
Determine y so that -4*y**4 - 1 - y**4 - 408*y - 3912*y - 150*y**3 + 1 - 1440*y**2 = 0.
-12, -6, 0
Let g(q) be the first derivative of -5/42*q**4 - 4/21*q - 8/21*q**3 - 3/7*q**2 + 78. Factor g(y).
-2*(y + 1)**2*(5*y + 2)/21
Factor -81/10 + 9/2*t - 3/10*t**2 - 1/10*t**3.
-(t - 3)**2*(t + 9)/10
Let c(k) be the first derivative of -90*k**2 + 18 + 28*k + 10*k**3 - 5/12*k**4. Let w(p) be the first derivative of c(p). Factor w(a).
-5*(a - 6)**2
Solve -32/3 + 50/9*k**3 - 80/3*k**2 + 2/3*k**4 + 280/9*k = 0.
-12, 2/3, 1, 2
Suppose 6*q - q = -2*f + 34, -4*f + 28 = 0. Let y(i) be the second derivative of 0*i**q - 1/9*i**3 + 1/90*i**5 + 0 + 2/9*i**2 - 20*i. Factor y(x).
2*(x - 1)**2*(x + 2)/9
Let q = -46183 - -92367/2. Factor -q*s**2 + 0 - 7/2*s.
-s*(s + 7)/2
Let u be (-9)/(-54)*-3 - 1/2. Let b be -1 + u*12/(-9). Determine m, given that -b*m + 0 + 1/6*m**4 - 1/6*m**2 + 1/3*m**3 = 0.
-2, -1, 0, 1
Factor -1815/4*q - 903/4*q**2 + 3/4*q**3 - 909/4.
3*(q - 303)*(q + 1)**2/4
Let h(j) be the second derivative of 1/3*j**3 - 2*j + 9/10*j**5 - 11 - j**4 + 0*j**2. Factor h(i).
2*i*(3*i - 1)**2
Suppose 475*n**2 - 240*n**2 - 954*n + 956 - 237*n**2 = 0. What is n?
-478, 1
Let x(k) = -55*k - 878. Let j be x(-16). Let n = 348/5 + -68. Suppose 2/5*d**3 + 16/5*d + n + 2*d**j = 0. Calculate d.
-2, -1
Let l(g) be the first derivative of 6*g**3/7 + 44*g**2 + 136*g/7 + 1194. Factor l(k).
2*(k + 34)*(9*k + 2)/7
Let c be (-39820)/(-3850) + (-88)/28. Find a such that 16/5 - 8*a - 14/5*a**3 + 2/5*a**4 + c*a**2 = 0.
1, 2
What is p in 600*p**2 - 2*p**4 + 5123 - 386*p + 121*p**4 - 5067 - 485*p**3 - 9*p**5 + 105*p**2 = 0?
2/9, 1, 4, 7
Suppose f - 12 = 4*f, -5*m + f - 66 = 0. Let r(s) = -11*s - 153. Let j be r(m). Factor -j - 3/4*g + 1/4*g**2.
(g - 4)*(g + 1)/4
Suppose u - 3*w = 4 - 2, 4*u - 4*w - 16 = 0. Find l, given that -207*l + 319*l + 45 + 70*l**2 - 108*l + u*l**3 + 35 - 159*l = 0.
-16, 1
Let o(q) be the second derivative of q**6/75 - 3*q**5/5 - 161*q**4/10 - 196*q**3/3 + 4116*q**2/5 - 4385*q. Find l such that o(l) = 0.
-7, 2, 42
Let r(k) be the third derivative of k**5/180 - 41*k**4/72 + 