erivative of 0*m**5 - 1/6*m**6 + 49 + 4/3*m**3 + 36*m + 9/2*m**4 - 57/2*m**2. Find p, given that x(p) = 0.
-3, 1, 4
Determine t so that 94176/5*t - 93312/5 - 866/5*t**2 + 2/5*t**3 = 0.
1, 216
Let g(y) be the second derivative of -94*y + 3/10*y**4 + 0 + 0*y**2 - 42/25*y**6 + 0*y**3 + 21/100*y**5 + 27/70*y**7. Suppose g(v) = 0. What is v?
-2/9, 0, 1/3, 3
Let o(b) be the second derivative of -5*b**4/4 - 1369*b**3/2 + 411*b**2 - 10*b + 160. Factor o(m).
-3*(m + 274)*(5*m - 1)
Let h(g) = g**2 + 13*g + 14. Let r be h(-12). Suppose -r*d + 21 = 17. Factor -48*b + 0*b - 76 - 116 - 3*b**d.
-3*(b + 8)**2
Let b = -10157 + 71107/7. Let j(o) be the first derivative of 4/7*o**4 - 16/35*o**5 + 2/21*o**6 - 10/7*o**2 + b*o + 25 + 8/21*o**3. Find l such that j(l) = 0.
-1, 1, 2
Let k = -175821 + 879123/5. Factor -14/3*w**3 + 66/5*w**2 - 54/5*w + 8/15*w**4 - k.
2*(w - 3)**3*(4*w + 1)/15
Factor 72/5 - 2/5*n**2 - 14*n.
-2*(n - 1)*(n + 36)/5
Let y(c) be the first derivative of c**5 + 140*c**4 + 1105*c**3/3 + 275*c**2 - 984. Factor y(n).
5*n*(n + 1)**2*(n + 110)
Let o(w) = w**2 - 5*w - 1. Let v(n) = n. Let s be v(-7). Let j be o(s). Determine h, given that -j*h + 83*h - h**2 = 0.
0
Determine i, given that -3/5*i**3 + 51/5*i**2 + 12*i - 108/5 = 0.
-2, 1, 18
Let v(k) be the first derivative of -k**2/2 - 121. Let z(t) = -t**2 - 3*t. Let o = 7 - 4. Let p(j) = o*v(j) - z(j). Suppose p(s) = 0. Calculate s.
0
Let s(z) be the second derivative of -5*z + 0*z**2 + 7 + 13/18*z**3 - 1/36*z**4. Factor s(b).
-b*(b - 13)/3
Let r(p) be the second derivative of 5/24*p**3 + 5/4*p**2 - 2 - 4*p - 5/16*p**4 + 1/24*p**6 - 1/16*p**5. Suppose r(c) = 0. What is c?
-1, 1, 2
Let r(b) be the third derivative of 5/2016*b**8 - 1/144*b**6 + 0*b**3 + 0 - 1/24*b**5 + 0*b**4 - b + 1/84*b**7 + 69*b**2. Find t, given that r(t) = 0.
-3, -1, 0, 1
Let r = 14636 + -14631. Let v(p) be the second derivative of -1/6*p**3 + 1/80*p**r + 0 + 1/24*p**4 + 24*p - p**2. Determine h so that v(h) = 0.
-2, 2
Let m(w) be the second derivative of w**5/120 + 83*w**4/36 + 491*w**3/36 + 163*w**2/6 - 84*w. What is n in m(n) = 0?
-163, -2, -1
Let f(l) be the first derivative of -l**6/180 - l**5/18 + 13*l**4/36 - 7*l**3/9 - 21*l**2/2 + 31. Let x(v) be the second derivative of f(v). Factor x(b).
-2*(b - 1)**2*(b + 7)/3
Let o(u) = u**3 + 10*u**2 + u + 12. Let m be o(-10). Let t(j) be the first derivative of 8*j + 2/3*j**3 + 4*j**2 - m. Suppose t(c) = 0. What is c?
-2
Let m(k) be the first derivative of -k**4/12 - 481*k**3/9 - 956*k**2/3 - 636*k - 15. Suppose m(w) = 0. What is w?
-477, -2
Let r(o) be the second derivative of o**5/50 - 6*o**4/5 + 513*o + 3. Suppose r(j) = 0. Calculate j.
0, 36
Let i(x) be the second derivative of x**7/378 + 2*x**6/135 + x**5/45 - x**4/54 - 5*x**3/54 - x**2/9 + 33*x - 16. Factor i(n).
(n - 1)*(n + 1)**3*(n + 2)/9
Let d(l) be the third derivative of l**7/1470 - l**6/420 + l**5/420 + 2320*l**2. Factor d(y).
y**2*(y - 1)**2/7
Factor 83*s**2 + 68 + 39/5*s**3 + 717/5*s + 1/5*s**4.
(s + 1)**2*(s + 17)*(s + 20)/5
Let h(j) be the first derivative of j**6/450 + j**5/25 + j**4/6 + 11*j**3/3 + 157. Let d(l) be the third derivative of h(l). Factor d(g).
4*(g + 1)*(g + 5)/5
Let j(x) = 85*x**3 + 3532*x**2 - 1582*x + 168. Let h(r) = -427*r**3 - 17662*r**2 + 7911*r - 836. Let n(z) = 2*h(z) + 11*j(z). Suppose n(o) = 0. What is o?
-44, 2/9
Factor -1/5*j**3 + 73 - 731/5*j + 367/5*j**2.
-(j - 365)*(j - 1)**2/5
Let v be 350/1380 + (-162)/1863. Factor 37/6*i**2 + 242/3 + 66*i + v*i**4 - 3*i**3.
(i - 11)**2*(i + 2)**2/6
Let b(s) be the second derivative of -3*s**7/14 + 5*s**6/2 - 69*s**5/20 - 37*s**4/4 + 7*s**3 - 9303*s. Solve b(g) = 0 for g.
-1, 0, 1/3, 2, 7
Suppose -276*z - 459 = -1066 - 773. Let g(j) be the third derivative of 0*j**4 + 4*j**2 + 1/210*j**z + 1/210*j**6 + 0 + 0*j**3 + 1/735*j**7 + 0*j. Factor g(i).
2*i**2*(i + 1)**2/7
Let q be 15/(-8) + (23/8 - 3). Let z be ((-5)/2 - q)/(32/(-1312)). Determine u, given that 1/2*u**2 - 8*u + 2 - 5/2*u**4 + z*u**3 - 25/2*u**5 = 0.
-1, 2/5, 1
Let p(j) be the second derivative of -81/4*j**4 - 19*j + 0*j**2 - 2 + 27/20*j**5 + 0*j**3 - 1/40*j**6. Determine n, given that p(n) = 0.
0, 18
Suppose 0*l + 4*l + 44 = -d, -3*d - 52 = -4*l. Let b be 9/d - (-214)/16. Determine v, given that b + 7 + 0 - 10*v**3 + 20*v + 5*v**4 - 15*v**2 = 0.
-1, 2
Solve 189/4*g**2 + 11907/4*g + 1/4*g**3 + 250047/4 = 0 for g.
-63
Factor 1017324*p - 1017324*p - p**3 + 16 - 12*p**2 - 3*p**3.
-4*(p - 1)*(p + 2)**2
What is h in 204*h**2 - h**5 - 192 - 12*h**4 + 72970*h**3 - 2*h**5 - 48*h - 72919*h**3 = 0?
-4, -1, 1, 4
Solve 0 + 1/5*l**3 + 229/5*l**2 - 46*l = 0.
-230, 0, 1
Let h = 38704 - 193519/5. Determine s so that -2/5*s + h*s**2 + 1/5 = 0.
1
Factor 17576/7*d**2 + 5202/7*d**4 - 448*d + 128/7 + 2856*d**3.
2*(d + 2)**2*(51*d - 4)**2/7
Let y be 20/(-60) - 2/((-12)/602). Determine n so that -20*n**3 + 20*n + 4*n**4 - 55*n**2 + y*n**2 - 49*n**2 = 0.
-1, 0, 1, 5
Let y be (3/(-4))/(24/(-64)). Let w be 3/((-30)/2)*(-19 - -18). Suppose 0 - 1/5*m**y - w*m = 0. What is m?
-1, 0
Let x(c) be the second derivative of -c**4/72 - 22*c**3 - 13068*c**2 + 3*c - 25. Factor x(z).
-(z + 396)**2/6
Let r(b) = b**3 + 3*b**2 - 4*b - 7. Let c be r(-3). Let -3*n + 2 - 3*n - 2*n - n**3 + 2 + c*n**2 = 0. What is n?
1, 2
Let d = -469 + 474. Suppose 5 = -d*s - 5*m, 0*s - 5*s + 10 = 2*m. Factor -12/7*g**2 + 9/7*g**s + 0*g - 3/7*g**5 + 0 + 0*g**3.
-3*g**2*(g - 2)**2*(g + 1)/7
Find p such that 14/5*p**3 - 46/5*p**2 + 14/5*p**4 - 8 - 88/5*p + 2/5*p**5 = 0.
-5, -2, -1, 2
Let x(p) be the third derivative of -p**6/24 + 23*p**5/4 - 300*p**4 + 6750*p**3 - 1593*p**2 - 2*p. Factor x(h).
-5*(h - 30)**2*(h - 9)
Let k(h) be the third derivative of h**5/100 - 459*h**4/20 + 210681*h**3/10 + 2030*h**2. Find s such that k(s) = 0.
459
Let i be -21*(-83)/((-104580)/(-72)). Determine p so that i*p**2 - 12/5 - 21/5*p = 0.
-1/2, 4
Let u = -28 + 36. Suppose -u = -9*q + 28. What is o in -o**2 - o**2 - 16*o**q + 14*o**4 + 4*o**3 = 0?
0, 1
Let w be 2/((-141)/(-15) + -9). Suppose w*t = -3*a + 1, 5*a = t + 7 + 4. Factor 0*m + 8/11*m**4 - 2/11*m**5 - 8/11*m**3 + 0 + 0*m**a.
-2*m**3*(m - 2)**2/11
Let y(k) be the third derivative of 1/300*k**6 + 0*k**4 - k**2 - 10*k + 0 + 0*k**3 + 0*k**5. Factor y(i).
2*i**3/5
Let x(u) be the first derivative of 8/5*u**2 + 17/5*u - 1/15*u**3 - 149. Factor x(l).
-(l - 17)*(l + 1)/5
Let s(a) be the first derivative of a**6/300 - 17*a**5/150 + 4*a**4/3 - 64*a**3/15 - 37*a**2/2 + 53. Let c(x) be the second derivative of s(x). Factor c(z).
2*(z - 8)**2*(z - 1)/5
Let n(d) be the second derivative of d**6/3240 - d**5/540 + d**4/216 - d**3/3 - d**2/2 - 4*d - 5. Let m(v) be the second derivative of n(v). Factor m(w).
(w - 1)**2/9
Solve -4374 + 29/4*n**3 + 597/4*n**2 - 16929/4*n - 1/4*n**4 = 0.
-24, -1, 27
Let b = 78 + -70. Suppose 0 = t - 2*j - 8, 0*t - 4*j - b = 2*t. Solve 6*x**2 - x**t - 70 + 55 + 10*x = 0.
-3, 1
Let w(t) = -30*t**5 - 30*t**3 + 20*t**2 + 40*t + 25. Let m(o) = o**5 - o**4 - 1. Let f(b) = -25*m(b) - w(b). Factor f(a).
5*a*(a - 1)*(a + 2)**3
Suppose t = -2*a + 7, 4*t + 0 = -a + 7. Suppose -m**a - m - 1 - 9*m**2 + 6*m**3 + 10 - 4*m**3 = 0. Calculate m.
-1, 1, 9
Let r(u) = -u**2 + 8*u + 2. Let q be r(8). Let c = -709088/5 - -141920. Factor 0*w**4 - 32*w**q + 64*w**3 + 6*w - 2/5 - c*w**5.
-2*(w + 1)*(4*w - 1)**4/5
Suppose 0 = 2*k + 6*b - b + 122, 5*b + 173 = -3*k. Let d be (-17)/k*(1 - -11). Factor 0*a + 3*a**2 + d*a - 16*a + 12*a**3 - 3.
3*(a - 1)*(a + 1)*(4*a + 1)
Suppose -78300/13*j**2 - 1458/13 - 34940/13*j**3 - 4210/13*j**4 + 119070/13*j - 162/13*j**5 = 0. What is j?
-9, 1/81, 1
Let 25482304/7 - 20192/7*k + 4/7*k**2 = 0. What is k?
2524
Let f = -76/29 - -692/87. Factor -f*v**2 + 16/3 + 4/3*v**3 - 4/3*v.
4*(v - 4)*(v - 1)*(v + 1)/3
Let d(h) = -3*h**2 + 52*h - 43. Let t be 196/(-8) + (-5)/(8 - -2). Let y(c) = -35*c**2 + 625*c - 515. Let p(a) = t*d(a) + 2*y(a). Factor p(f).
5*(f - 9)*(f - 1)
Suppose 2*u - 933*z + 936*z = 33, -12 = 5*u - 3*z. Find w, given that 22/9*w - 20/9*w**2 - 2/9*w**u + 0 = 0.
-11, 0, 1
Let a(y) be the second derivative of y**4/30 + 92*y**3/15 + 1587*y**2/5 + 3203*y. Factor a(s).
2*(s + 23)*(s + 69)/5
Let n = 1017/5005 - 14130/17017. Let t = -1/85 - n. Suppose 2/13*c**2 - t*c + 0 = 0. Calculate c.
0, 4
