*u**2 + 6*u + 3. Let z be 105/(-33) - 4/(-22). Let m be o(z). Factor -3*r**4 - m*r**5 + 3*r - 2*r**4 - 3*r**4 + 6*r**2 + 2*r**4.
-3*r*(r - 1)*(r + 1)**3
Let p(d) be the first derivative of -d**4/4 - 62*d**3/3 - 1161*d**2/2 - 5832*d + 2117. Factor p(l).
-(l + 8)*(l + 27)**2
Let j(h) = 3*h**2. Let s be j(-3). Suppose -5*o = 4*a - 30, -o = 5*a - 0*a - s. Factor 0 - 1/3*x**o + 2/3*x.
-x*(x - 2)/3
Factor 30*l + 0 + 19/2*l**2 + 1/2*l**3.
l*(l + 4)*(l + 15)/2
Factor 5/6*k**2 + 163805/6 - 905/3*k.
5*(k - 181)**2/6
Let r(m) be the third derivative of -m**7/231 + 47*m**6/60 - 103*m**5/165 - 7124*m**2. Factor r(x).
-2*x**2*(x - 103)*(5*x - 2)/11
Let t(l) be the second derivative of l**6/360 - l**5/45 + l**4/18 - 69*l**2/2 - 179*l. Let z(m) be the first derivative of t(m). Let z(w) = 0. What is w?
0, 2
Let v(y) be the first derivative of 529/10*y**4 + 0*y + 92/5*y**3 + 19 + 9/5*y**2. Factor v(z).
2*z*(23*z + 3)**2/5
Let l(p) be the first derivative of -6*p**5/5 - 395*p**4/2 - 3914*p**3/9 - 911*p**2/3 - 260*p/3 - 1884. Determine b so that l(b) = 0.
-130, -1, -1/3
Let f = -191 - -193. Suppose 3*t + f*t + 5*d = 0, 0 = 3*d + 15. Solve -2/11*o + 2/11*o**t - 4/11*o**4 + 4/11*o**2 + 0 + 0*o**3 = 0 for o.
-1, 0, 1
Suppose -5*n - j - 23 = 0, 8*n + 14 = 4*n - 3*j. Let i be (6/n)/(22/(-55)). What is p in 0*p**2 + 6*p + i*p**2 - p**3 - 2*p**3 = 0?
-1, 0, 2
Let s(j) = 41*j - 126. Let o be s(3). Let f(w) = -117*w + 3370. Let c(h) = -h**2 - h + 6. Let y(k) = o*f(k) + 3*c(k). Let y(t) = 0. Calculate t.
58
Determine y so that -134*y**2 + 363/4*y + 127/4*y**3 + 27/2 - 2*y**4 = 0.
-1/8, 1, 6, 9
Let y(q) be the second derivative of -1 + 1/90*q**5 + 35/27*q**3 - q + 49/9*q**2 - 13/54*q**4. Solve y(m) = 0 for m.
-1, 7
Let v = 563/6090 + -12/203. Let l(z) be the third derivative of 1/144*z**6 + 0 + 1/18*z**3 + 0*z + 1/16*z**4 - 9*z**2 + v*z**5. Factor l(u).
(u + 1)**2*(5*u + 2)/6
Let s(b) be the second derivative of 0*b**3 + 29*b + 0 + 0*b**4 + 0*b**2 - 1/294*b**7 - 2/105*b**6 - 1/35*b**5. Factor s(o).
-o**3*(o + 2)**2/7
Let z(g) be the second derivative of g**5/120 + g**4/48 - 22*g**2 + 5*g + 7. Let c(k) be the first derivative of z(k). Find p, given that c(p) = 0.
-1, 0
Let b(m) be the third derivative of m**7/105 - 5*m**6/24 - 61*m**5/30 - 161*m**4/24 - 11*m**3 + m**2 + 1953*m. Factor b(j).
(j + 1)**2*(j + 2)*(2*j - 33)
Factor -92/5*i - 8/5*i**2 + 4/5*i**3 + 48.
4*(i - 4)*(i - 3)*(i + 5)/5
Suppose s - 4*b + 17 = 0, 0 = 4*s + 3*b - 5*b + 12. Let n be ((-20)/9)/s - 8/36. Factor -117*w**n + 0*w**3 + 123*w**2 + 0*w**3 - 3 - 3*w**4.
-3*(w - 1)**2*(w + 1)**2
Let g = 80 + -78. Determine i so that -28*i - 8*i**g + 40 + 5*i**2 + 7*i**2 - 16*i = 0.
1, 10
Let z be (-45 - 2262/(-52))/(-6). Factor -z*o**5 - 1/4*o + 1/4*o**4 + 1/2*o**3 - 1/2*o**2 + 1/4.
-(o - 1)**3*(o + 1)**2/4
Find y such that 2092*y + 2112 - 3*y**2 - 84*y - 4117*y = 0.
-704, 1
Let m = -6149 + 6149. Let u(l) be the second derivative of 3/140*l**5 - 1/28*l**4 + 1/70*l**6 - 1/98*l**7 + 0*l**2 + 4*l + 0*l**3 + m. Factor u(h).
-3*h**2*(h - 1)**2*(h + 1)/7
Determine t so that 218886 - 289556*t - 33823/2*t**3 - 1/2*t**5 + 249267/2*t**2 - 375/2*t**4 = 0.
-191, 2, 3
Let r(j) be the third derivative of 1/504*j**8 - 2*j**3 + 52*j**2 + 4/45*j**5 + 2/63*j**7 + 13/90*j**6 - 3/4*j**4 + j + 0. Determine d, given that r(d) = 0.
-6, -3, -1, 1
Let k(w) be the third derivative of 0 + 0*w**3 + 29*w**2 + 0*w**6 + 1/315*w**7 - 2*w - 1/30*w**5 - 1/18*w**4. Find u such that k(u) = 0.
-1, 0, 2
Let o(d) be the third derivative of d**7/168 + 47*d**6/96 - 97*d**5/48 + 245*d**4/96 + 8*d**2 + 24*d. Factor o(m).
5*m*(m - 1)**2*(m + 49)/4
Let t(u) be the first derivative of -3*u**4/20 - 1436*u**3/5 - 773286*u**2/5 - 3925. Let t(a) = 0. Calculate a.
-718, 0
Let p = -28 + 40. Suppose p = 15*u - 12*u. Find n, given that -4*n**4 + 91*n - 46*n + u*n**3 - 45*n = 0.
0, 1
Let t(a) be the second derivative of a**6/150 - 11*a**5/25 + 103*a**4/10 - 1258*a**3/15 - 3179*a**2/10 - 4127*a. Factor t(k).
(k - 17)**2*(k - 11)*(k + 1)/5
Suppose -312 = -134*k - 22*k. Let j(p) be the first derivative of 24 + 16*p - 4*p**3 + 8*p**k - 4/5*p**5 - 4*p**4. Factor j(l).
-4*(l - 1)*(l + 1)*(l + 2)**2
Let u(j) = 33*j**3 - 507*j**2 + 954*j + 1872. Let z(h) = -8*h**3 + 132*h**2 - 238*h - 468. Let n(c) = -5*u(c) - 21*z(c). Suppose n(y) = 0. What is y?
-1, 2, 78
Let o(f) be the second derivative of f - 13/4*f**3 - 13/24*f**4 - 1/40*f**5 + 62 - 27/4*f**2. Factor o(h).
-(h + 1)*(h + 3)*(h + 9)/2
Let l(t) be the second derivative of -23*t**4/8 - 127*t**3/2 - 33*t**2/4 + 10593*t. Factor l(x).
-3*(x + 11)*(23*x + 1)/2
Let i(r) be the third derivative of r**5/20 + 37*r**4/4 + 469*r**3/2 - 4*r**2 + 35*r - 1. Solve i(x) = 0 for x.
-67, -7
Let v(l) be the second derivative of l**6/45 - 229*l**5/30 + 4483*l**4/6 - 38759*l**3/9 + 25538*l**2/3 - 207*l. Let v(f) = 0. Calculate f.
1, 2, 113
Suppose -9*y - 10 = -10*y. Let w be y*(56/70)/(-1 + 3). What is v in 28*v**2 - 15*v**3 - 13*v**2 + 5*v**w + 85*v - 90*v = 0?
0, 1
Factor -19*h**4 + 12339271*h**5 - 148*h**3 - 22*h**3 - 5*h**4 - 12339269*h**5.
2*h**3*(h - 17)*(h + 5)
Let z(g) be the second derivative of -16*g - 1/120*g**4 + 1/2*g**2 + 0*g**5 + 0 + 1/600*g**6 + 0*g**3. Let m(i) be the first derivative of z(i). Factor m(s).
s*(s - 1)*(s + 1)/5
Let l(w) be the second derivative of w**5/60 - 5*w**4/36 - 29*w**3/18 + 35*w**2/2 + 1135*w. Factor l(u).
(u - 7)*(u - 3)*(u + 5)/3
Factor -396 - 3/2*p**2 + 51*p.
-3*(p - 22)*(p - 12)/2
Let j = 22741 + -272887/12. Let f(c) be the third derivative of 0*c - j*c**5 + 25/24*c**6 + 32*c**2 + 0 - 10/3*c**3 - 10/3*c**4. Suppose f(m) = 0. What is m?
-2/5, 1
Let a(s) = -78*s**3 + 522*s**2 - 90850*s + 5268013. Let c(l) = 7*l**3 + 2*l + 1. Let m(i) = 2*a(i) + 22*c(i). Find k such that m(k) = 0.
174
Solve -26*i**2 - 36*i + 2*i**3 + 4*i**4 - 13*i**3 - 10*i**2 + 15*i**3 = 0.
-3, -1, 0, 3
Let b(d) be the second derivative of -36481*d**6/10 - 107151*d**5/20 + 190*d**4 - 2*d**3 + 5985*d. Suppose b(q) = 0. Calculate q.
-1, 0, 2/191
Factor -725*x + 1/8*x**4 + 393/8*x**2 + 25/4*x**3 + 1682.
(x - 4)**2*(x + 29)**2/8
Let m be (-4)/(16/12)*-1. Let h(d) be the first derivative of 12*d + 0*d**2 + d**m + 2 - 4*d**2 + 1 - 2*d**2. Let h(i) = 0. Calculate i.
2
Solve -5726*u + 24059*u + 3*u**3 + 370*u**2 - 202419 - 799*u**2 = 0.
17, 63
Let o(a) be the second derivative of -a**5/4 + 1365*a**4/4 - 139400*a**3 - 420250*a**2 - 1130*a. Suppose o(d) = 0. Calculate d.
-1, 410
Let f(n) be the second derivative of n**5/100 + n**4/30 - 13*n**3/30 + n**2 + 219*n + 2. Find m, given that f(m) = 0.
-5, 1, 2
Factor 100/3*p**2 - 428/3*p - 4/3*p**3 - 532/3.
-4*(p - 19)*(p - 7)*(p + 1)/3
Suppose 0 = 109*k - 182*k - 91*k. Factor 0 + k*x**2 + 0*x - 6*x**4 - 8/3*x**5 - 4/3*x**3.
-2*x**3*(x + 2)*(4*x + 1)/3
Factor -2662/9 - 127072/3*l**2 - 877952/9*l**3 - 18392/3*l.
-2*(76*l + 11)**3/9
Let w(i) = 5*i**4 + 10*i**3 - 22*i**2 + i - 5. Let t(k) = 2*k**3 - k - 2. Let c(j) = 22*t(j) - 2*w(j). Solve c(b) = 0 for b.
-1, 1, 17/5
Let h be 12*4/80*-5 - (-9 - -2). Let x(c) be the third derivative of 3/40*c**h + 1/100*c**5 + 0 - c**3 + 0*c + 36*c**2. Factor x(s).
3*(s - 2)*(s + 5)/5
Let g(l) be the second derivative of -l**7/21 - 8*l**6/5 - 33*l**5/5 + 968*l**4/3 + 3993*l**3 + 2*l - 1405. Factor g(w).
-2*w*(w - 9)*(w + 11)**3
Suppose -5*f - 2*t = t - 10, t + 4 = 2*f. Find k such that 4*k**2 + 10*k - 30 + k**f - 15*k + 0*k**2 = 0.
-2, 3
Let b be -25*(-11)/(55/(-16)). Let y be (3/45*-2)/(2/b). Find w such that -2/9*w**4 - 16/9*w**3 - y*w**2 - 64/9*w - 32/9 = 0.
-2
Let k(l) be the third derivative of -l**6/540 - 31*l**5/270 - 11*l**4/6 - 3539*l**2. What is g in k(g) = 0?
-22, -9, 0
Let j(k) be the first derivative of k**3/3 + 485*k**2 + 235225*k - 1392. Let j(q) = 0. Calculate q.
-485
Let b(k) be the second derivative of 109/20*k**5 + 116*k + 0*k**2 + 3*k**4 + 7/6*k**7 + 21/5*k**6 + 0 + 2/3*k**3. Suppose b(t) = 0. Calculate t.
-1, -2/7, 0
Let v = -21528 - -21530. Factor 8/5*b + 2/5*b**v + 0.
2*b*(b + 4)/5
Let h(s) = 26*s**3 - 12*s**2 + 581*s + 3303. Let o(v) = -42*v**3 + 18*v**2 - 872*v - 4952. Let t(z) = 8*h(z) + 5*o(z). What is m in t(m) = 0?
-8, 13
Let r = -1061 - -1057. Let o(a) = -a**2 - 11*a - 25. Let x be o(r). Solve 5 - 185/4*i**2 - 10*i + 25*i**x = 0.
-2/5, 1/4, 