h) be the second derivative of -2*h**6/15 + 6*h**5/5 - 3*h**4 - 8*h**3/3 + 24*h**2 + 1873*h. Determine w, given that o(w) = 0.
-1, 2, 3
Suppose -51*p + 48*p + 957 = 0. Find m, given that -314*m**2 - 86*m + 407*m + 179*m + p*m**2 + 12500 = 0.
-50
Let i(p) = -p**2 + 6*p + 121. Let l be i(-8). Suppose 5*d - 24 + l = 0. Solve 0 - 3/7*m**d + 4/7*m + 4/7*m**2 = 0 for m.
-2/3, 0, 2
Let t(m) be the first derivative of 15 - 7/4*m**4 + 7/2*m**2 - 2*m + 2/3*m**3. Factor t(u).
-(u - 1)*(u + 1)*(7*u - 2)
Factor -1014/5 + 2/5*q**2 + 332/5*q.
2*(q - 3)*(q + 169)/5
Let u = 1139270 - 1139270. Suppose u + 2/5*s**3 - 8/5*s + 26/5*s**4 - 104/5*s**2 = 0. Calculate s.
-2, -1/13, 0, 2
Let k(n) be the first derivative of 4*n**6/15 + 652*n**5/25 + 78*n**4/5 - 976*n**3/15 - 32*n**2 + 324*n/5 - 4625. Find p, given that k(p) = 0.
-81, -1, 1/2, 1
Let f(t) = -t + 58. Let o(x) = x - 39. Let v(d) = 5*f(d) + 7*o(d). Let l be v(-6). Factor 6 + 11*i + l*i**2 - 6*i - 4*i**2.
(i + 2)*(i + 3)
Let w(m) be the first derivative of m**4/4 + 23. Let j(r) = 10*r**3 - 40*r**2 + 48*r + 288. Let f(a) = -j(a) + 6*w(a). Suppose f(h) = 0. What is h?
-2, 6
Let o be 1 - 1*(12/(-4) + 1). Let 55 - 192*m**2 - 103 + 48 + 288*m + 16*m**4 + 2*m**5 - 16*m**o = 0. Calculate m.
-6, 0, 2
Let n = 16/25 - -43/50. Let f(r) be the second derivative of n*r**2 + 5*r - 1/60*r**5 + 0 - 5/6*r**3 + 7/36*r**4. Factor f(b).
-(b - 3)**2*(b - 1)/3
Let a be 170380/252 + 1/(-9). Determine k, given that -a + 229*k + 4*k**3 - 108*k + 659*k - 108*k**2 = 0.
1, 13
Let c(z) be the first derivative of 5*z**6/6 - 42*z**5 - 120*z**4 + 1670*z**3/3 + 3915*z**2/2 + 1980*z + 1970. Find x such that c(x) = 0.
-3, -1, 3, 44
Solve 185*a + 34225/2 + 1/2*a**2 = 0 for a.
-185
Let w(s) be the second derivative of -7921*s**2 + 178/3*s**3 - 1/6*s**4 + 201*s + 0. Determine g, given that w(g) = 0.
89
Let w(a) be the first derivative of 6*a**6/7 + 44*a**5/35 - a**4 - 44*a**3/21 - 4*a**2/7 + 845. Solve w(m) = 0.
-1, -2/9, 0, 1
Factor 10/7*t**3 + 1044/7 + 2762/7*t + 384/7*t**2.
2*(t + 9)*(t + 29)*(5*t + 2)/7
Let c be 9/(252/(-70)) - (9/54 + 92/(-3)). Factor -86/3 + 2/3*f**2 + c*f.
2*(f - 1)*(f + 43)/3
Let c(y) be the second derivative of -3*y + 4 + 20*y**2 + 5/12*y**4 - 15/2*y**3. Factor c(k).
5*(k - 8)*(k - 1)
Let k(n) be the first derivative of 0*n**2 - 1/18*n**6 + 1/3*n**4 + 0*n - 30 + 0*n**5 + 0*n**3. Factor k(p).
-p**3*(p - 2)*(p + 2)/3
Let l(d) be the second derivative of -d**7/21 + 397*d**6/15 - 791*d**5/10 + 395*d**4/6 - 13370*d. Factor l(a).
-2*a**2*(a - 395)*(a - 1)**2
Let y = 640/63 + -3074/315. Factor 48/5*o - y*o**2 + 10.
-2*(o - 25)*(o + 1)/5
Factor -2294667*s - 2568 + 4588558*s - 2*s**2 - 2294753*s.
-2*(s + 3)*(s + 428)
Let u(l) be the third derivative of -29/40*l**6 + 29/8*l**4 + 2 + 0*l - 3*l**3 - 29*l**2 - 3/20*l**5 + 9/70*l**7. Solve u(g) = 0 for g.
-1, 2/9, 1, 3
Let d(q) be the second derivative of -121*q**5/5 - 7667*q**4/3 - 5552*q**3/3 - 504*q**2 - 6167*q. Find g such that d(g) = 0.
-63, -2/11
Suppose -86*o = 51*o + 21*o - 948. Factor -2/3 + 14*x**2 + 22/3*x**3 + o*x.
2*(x + 1)**2*(11*x - 1)/3
Determine g, given that -332*g**3 - 1244*g + 43*g**5 - 1801*g + 733*g - 124*g**4 + 3196*g**2 - 424*g**3 - 47*g**5 = 0.
-17, 0, 1, 2
Let t(p) be the third derivative of p**7/42 + 3*p**6/4 - 19*p**5/12 + 3*p**2 + 2491*p. Factor t(w).
5*w**2*(w - 1)*(w + 19)
Let b(z) = 2*z**2 + 40*z + 64. Let d(k) = k**2 + 14*k + 21. Let w(h) = 3*b(h) - 8*d(h). Factor w(m).
-2*(m - 6)*(m + 2)
Let a be (-17)/(-16) - 285/760*(-8)/(-3). Let v(i) be the first derivative of 22 + 0*i**2 - a*i**4 + 0*i - 1/6*i**3. Factor v(b).
-b**2*(b + 2)/4
Let l(j) = -j**3 - 11*j**2 - 11*j + 26. Let i be l(-10). Suppose 3*k + 5*r = i, 0*k - 4*k + r = -48. Factor -k + 2*c + 6*c + 3*c**2 + c.
3*(c - 1)*(c + 4)
Let n(j) = 3*j**2 + 301 - 31*j**2 - 28*j - 36*j + 19. Let l(o) = -4*o**2 - 9*o + 46. Let b be -2 + (3 - ((-36)/6)/3). Let m(s) = b*n(s) - 20*l(s). Factor m(x).
-4*(x - 2)*(x + 5)
Let u(n) be the second derivative of -n**4/12 - n**3/6 + 7*n**2 + n - 218. Let a be u(-4). Factor -1/5*l**3 - l + 4/5*l**a + 2/5.
-(l - 2)*(l - 1)**2/5
Let q be 10 + 176/192 - 10/(-30). Find r such that -q + 25/2*r - 5/4*r**2 = 0.
1, 9
Suppose 5*y = 0, 2*b - 3*b + y = 0. Suppose b - 4 = -2*d. Solve 0 - 5*k + 3*k**2 - 7 - 3 + 2*k**d = 0 for k.
-1, 2
Let a(z) be the second derivative of -z**5/20 - 15*z**4 - 1350*z**3 + 237*z. Factor a(l).
-l*(l + 90)**2
Let x(m) = -m**3 - 6*m**2 - 4*m - 32. Let k be x(-6). Let t be (6/30)/(0 - 4/k). Factor -t*w**2 - 6/5*w + 8/5.
-2*(w - 1)*(w + 4)/5
Let c(i) be the first derivative of i**6/30 - 9*i**5/25 + i**4/5 + 12*i**3/5 - 16*i**2/5 + 932. Let c(j) = 0. Calculate j.
-2, 0, 1, 2, 8
Factor 796 + 811*n**2 - 17*n**2 - 7196*n + 5605*n + n**3.
(n - 1)**2*(n + 796)
Let o be (12/60*21)/(616/440). Let -v**2 + 3/2*v - 2*v**o + 1/2*v**5 + 1 + 0*v**4 = 0. Calculate v.
-1, 1, 2
Suppose -27 = -5*a + 2*a. Let h = 1586 - 1584. Factor -a*l**h - 24 - 49*l + 5*l - 4*l**3 - 15*l**2.
-4*(l + 1)*(l + 2)*(l + 3)
Let d(m) be the first derivative of -m**6/30 + 3*m**5/20 - m**4/12 - m**3/2 + m**2 + 14*m - 28. Let o(x) be the first derivative of d(x). Solve o(g) = 0.
-1, 1, 2
Let -41*t**3 - 4082*t**3 - 226*t**4 - 5*t**5 + 558*t**3 - 8692*t**2 - 28*t**4 - 7680*t - 2304 = 0. What is t?
-24, -1, -4/5
Let n(a) be the second derivative of -1/252*a**7 + 1/30*a**6 - 1/12*a**4 + 5/36*a**3 + 0*a**2 + 6*a - 1/30*a**5 + 1. Determine t so that n(t) = 0.
-1, 0, 1, 5
Let d(w) = w + 17. Let h be d(-14). Factor 4*r**h - 71*r**2 + 272*r + 5498 - 173*r**2 + 2803*r + 521*r - 1654.
4*(r - 31)**2*(r + 1)
Let m be -32 + ((-382284)/185)/(-63). Factor -4/5*s**2 - m*s**3 + 4/5 + 4/5*s.
-4*(s - 1)*(s + 1)**2/5
Let i(n) = -7*n**2 + 2*n - 5. Let b = -27 - -30. Suppose -m = 5 - b. Let o(g) = -3*g**2 + g - 2. Let p(s) = m*i(s) + 5*o(s). Factor p(f).
-f*(f - 1)
Suppose 283 = 5*d + o + 280, -15 = -5*o. Let f(t) be the third derivative of 0 + t**2 - 1/60*t**4 - 2/45*t**3 - 1/450*t**5 + d*t. Factor f(y).
-2*(y + 1)*(y + 2)/15
Find k, given that 102 - 3*k**3 - 56*k**2 + 6 - 50*k + 3*k**3 - 2*k**3 = 0.
-27, -2, 1
Let c be 2/(4/30 - 36/(-135)). Let 22*z**3 - 78*z**4 + 81*z**4 - 12*z**2 - 8*z - 5*z**5 + 0*z**c = 0. Calculate z.
-2, -2/5, 0, 1, 2
Let g(l) be the first derivative of -16*l**5/25 + 2*l**4 + 53*l**3/5 - 279*l**2/10 + 108*l/5 + 118. Determine b, given that g(b) = 0.
-3, 3/4, 4
Solve 0 + 48/19*c - 14/19*c**4 - 2/19*c**5 + 86/19*c**2 + 26/19*c**3 = 0 for c.
-8, -1, 0, 3
Let x(q) be the second derivative of 11*q**4/16 - 63*q**3/8 - 243*q**2/2 - 269*q - 8. Factor x(m).
3*(m - 9)*(11*m + 36)/4
Let r(o) be the second derivative of -o**7/63 - o**6/5 - o**5/2 - 7*o**4/18 + 58*o - 2. Let r(d) = 0. What is d?
-7, -1, 0
Factor -4 - 148*a**2 - 3*a**4 + 2*a**3 + 130*a**2 + 1 + 15*a**3 - 5*a**3 + 12*a.
-3*(a - 1)**4
Let b be 4/(-12)*79/(9480/(-288)). Solve 0*v - b*v**2 + 4/5 = 0.
-1, 1
Suppose 3*p = 2*d - 4, 5*d - 18 = -3*p + 13. Suppose 0 = -t + 2*a - d + 8, 0 = 2*t - a - 6. Factor 4/5*i**2 + 4/5*i**t + 0 + 0*i.
4*i**2*(i + 1)/5
Let p(w) be the second derivative of -8*w**6/3 - 31*w**5 - 1495*w**4/16 + 155*w**3/3 - 10*w**2 - 861*w - 4. Factor p(k).
-5*(k + 4)**2*(8*k - 1)**2/4
Let s(i) be the second derivative of -i**6/30 + 287*i**5/2 - 2062093*i**4/12 + 685930*i**3 - 1028178*i**2 - 1995*i. What is k in s(k) = 0?
1, 1434
Let s = 538747/70 - 76781/10. Determine m, given that 4/7*m**3 - s + 128/7*m - 40/7*m**2 = 0.
2, 4
Let c(a) be the first derivative of 15 + 21/4*a**2 - 27/2*a + 1/24*a**4 + 17/18*a**3. Determine b so that c(b) = 0.
-9, 1
Let r(y) be the first derivative of 5/8*y**4 - 40*y - 164 + 35/6*y**3 + 10*y**2. Factor r(f).
5*(f - 1)*(f + 4)**2/2
Let s(i) be the third derivative of -i**6/24 - 85*i**5/6 + 8875*i**4/24 - 3750*i**3 + 1254*i**2 - 2*i + 3. Let s(f) = 0. Calculate f.
-180, 5
Let j(q) = -8*q**3 + 16*q**2 - 47*q - 387. Let g(r) = 3*r**3 - 2*r**2 + 5*r + 1. Let p(k) = -3*g(k) - j(k). Factor p(a).
-(a - 6)*(a + 8)**2
Solve -2800*k**4 + 15*k + 0*k + 2791*k**4 + 9*k**2 + 3*k - 17*k**3 - k**5 = 0.
-6, -3, -1, 0, 1
What is d in 6*d**2 - 1720*d + 120983 + 167280 + 132389 - 4*d**2 - 50852 = 0?
430
Let g(p) be the third derivative of p**5/40 + 31*p**4/8 - 63*p**3/4 + 3578*p**2. Factor g(v).
3*(v - 1)*(v + 63)/2
Let j(