94. Let a(f) = -5*c(f) - 6*l(f). Let a(s) = 0. What is s?
-5/7, 1
Let o = 317 + -22823/72. Let s(v) be the third derivative of 0 + 2*v**2 - 1/180*v**6 - o*v**4 + 0*v + 0*v**3 + 1/60*v**5. Determine k, given that s(k) = 0.
0, 1/2, 1
Let t be 5 + ((-63)/14)/((-63)/(-18)). Factor -12/7*j**3 + t*j**2 + 8/7 - 24/7*j + 2/7*j**4.
2*(j - 2)**2*(j - 1)**2/7
Let j be 15/(-2)*2/(-3). Suppose j*b - 196 = -186. Solve -1/2*q**b + 0 + 0*q = 0.
0
Suppose -12*r = -11*r - 12. Let v be (2 - 2)/(r + -10). Factor -3/2*t**2 + v + 1/2*t.
-t*(3*t - 1)/2
Let d(k) be the first derivative of 8*k + 10/3*k**3 - 35/2*k**4 + 11/3*k**6 + 24*k**2 + 26 - 18/5*k**5. Solve d(t) = 0.
-1, -2/11, 1, 2
Let p = -1108/15 + 74. Let c(h) be the first derivative of -p*h**3 + 0*h + 0*h**2 - 6. Determine f so that c(f) = 0.
0
Factor -4486*v - 230*v**3 + 2420 + 7*v**4 - 2*v**4 + 2865*v**2 - 574*v.
5*(v - 22)**2*(v - 1)**2
Factor -3*o - 3*o**2 + 4*o**2 + 8*o**2 + 11*o**2 - 121*o + 120.
4*(o - 5)*(5*o - 6)
Suppose 0*u = -4*k + 2*u + 600, 3*u = 12. Let v be (-2)/(-1) + k/(-171). Solve 0 + v*h**4 + 2*h**3 + 2/9*h**5 + 14/9*h**2 + 4/9*h = 0 for h.
-2, -1, 0
Suppose -3*l - 2*q = q - 30, l - 11 = -2*q. Suppose l = -5*i + 24. Factor 7*u**3 - 5*u**i + 2*u**3.
4*u**3
Let i be 43/78 + (2 - 20/8). Let b(j) be the second derivative of i*j**3 + 1/195*j**6 + 0 + 4*j + 0*j**5 + 0*j**2 - 1/26*j**4. What is v in b(v) = 0?
-2, 0, 1
Solve -90*h**2 - 96*h**2 - 92*h**2 - 11*h**3 - 9*h + h**4 + 297*h**2 = 0 for h.
0, 1, 9
Let r(v) be the third derivative of -v**6/30 - 6*v**5/5 - 17*v**4/6 + 436*v**2. Factor r(i).
-4*i*(i + 1)*(i + 17)
Suppose z + t = -1, 2*z - t = -6*t - 14. Let s(h) be the third derivative of 0 - 1/12*h**4 + 0*h - 1/30*h**5 + 0*h**z - h**2. Factor s(q).
-2*q*(q + 1)
Let m(n) be the first derivative of -n**5/60 + n**4/16 + n**3/36 - n**2/8 + 82. Let m(f) = 0. Calculate f.
-1, 0, 1, 3
Factor -20*u**2 + 9*u**3 - 12*u**3 + 6*u**3 + 5*u**5 - 15*u + 7*u**3 + 20*u**4.
5*u*(u - 1)*(u + 1)**2*(u + 3)
Factor 14641/6 + 1/6*x**2 - 121/3*x.
(x - 121)**2/6
Factor -355/4*p**2 + 695/4*p - 345/4 + 5/4*p**3.
5*(p - 69)*(p - 1)**2/4
Let n(i) be the second derivative of i**4/12 - 11*i**3/6 + 93*i + 2. Factor n(m).
m*(m - 11)
Let k(p) be the third derivative of -p**6/600 + 3*p**5/200 - 7*p**3/6 - 11*p**2. Let s(i) be the first derivative of k(i). Let s(g) = 0. Calculate g.
0, 3
Let x(r) be the first derivative of 12 + 3/20*r**4 - 1/50*r**6 + 0*r**5 - 7*r + 1/5*r**3 + 0*r**2. Let j(o) be the first derivative of x(o). Factor j(w).
-3*w*(w - 2)*(w + 1)**2/5
Let r = -112 + 67. Let d = r - -48. Solve 1/5*x - 2/5*x**4 + 2/5*x**2 + 0 - 1/5*x**5 + 0*x**d = 0.
-1, 0, 1
Let d(q) = 10*q**2 + 8*q. Let m(b) = b**3 + 41*b**2 + 31*b. Let f be ((-16)/12)/(8/12 + -1). Let l(t) = f*m(t) - 18*d(t). Factor l(u).
4*u*(u - 5)*(u + 1)
Let r(l) be the second derivative of l**6/120 - l**5/60 - l**4/24 + l**3/6 - 4*l**2 - 8*l. Let m(i) be the first derivative of r(i). Factor m(a).
(a - 1)**2*(a + 1)
Let d(g) be the third derivative of 1/60*g**5 + 0*g + 5/6*g**3 + 0 - 1/360*g**6 - 1/24*g**4 - 4*g**2. Let z(c) be the first derivative of d(c). Factor z(y).
-(y - 1)**2
Factor -95*t**3 - 2*t**4 - 12482*t**2 - 130*t**3 - 91*t**3.
-2*t**2*(t + 79)**2
Let o(t) be the first derivative of 2*t**3/7 - 124*t**2/7 - 24*t - 198. Factor o(n).
2*(n - 42)*(3*n + 2)/7
Factor 88/3 - 92/3*t + 4/3*t**2.
4*(t - 22)*(t - 1)/3
Let m = 5725 - 28618/5. Factor 1/5*z**2 + 6/5 + m*z.
(z + 1)*(z + 6)/5
Let z(s) be the first derivative of -2*s**3/9 - 10*s**2/3 + 16*s - 88. Factor z(i).
-2*(i - 2)*(i + 12)/3
Factor 1/3*z**2 + 0 - 22/3*z.
z*(z - 22)/3
Let v = 739/72 - 92/9. Let w(a) be the second derivative of -1/24*a**5 - v*a**4 - 1/3*a**2 + 1/3*a**3 + 4*a + 0. Factor w(f).
-(f - 1)*(f + 2)*(5*f - 2)/6
Let x(n) be the first derivative of -n**7/1400 + n**6/150 - n**5/40 + n**4/20 + 7*n**3/3 - 40. Let o(q) be the third derivative of x(q). Factor o(h).
-3*(h - 2)*(h - 1)**2/5
Let a(n) = -46*n**3 - 259*n**2 - 5*n + 242. Let q(b) = 16*b**3 + 86*b**2 + 2*b - 80. Let i(o) = -6*a(o) - 17*q(o). Find c, given that i(c) = 0.
-23, -1, 1
Let y be -1 + 5 + (6 - 7). Find x, given that -110*x**2 - 13*x - 35*x**2 + 45*x**4 + 195*x**y + 30*x + 8*x = 0.
-5, 0, 1/3
Let g(n) be the second derivative of -15*n + 5*n**2 - 1/4*n**5 + 0 - 5/6*n**4 + 5/6*n**3. Let g(q) = 0. Calculate q.
-2, -1, 1
Factor -5*r**3 + 0*r**3 - 30*r - 162*r + 2*r**3 - 956*r**2 + 1004*r**2.
-3*r*(r - 8)**2
Suppose -2*s = 2*t + 4, 3*t + t = 4*s + 32. Suppose -m - 5*r = -13 - 14, 0 = t*m + 4*r - 26. Factor 3*f - 6*f**3 - f - 2*f**m + f - f**2.
-3*f*(f + 1)*(2*f - 1)
Suppose 0 - 8/19*v**2 + 2/19*v**3 - 8/19*v + 2/19*v**4 = 0. Calculate v.
-2, -1, 0, 2
Solve 9*w**3 + 144*w - w**3 + 2*w**3 + 64 + 2*w**3 + 80*w**2 = 0 for w.
-4, -2, -2/3
Let i(p) be the first derivative of -18 + 1/10*p**4 + 0*p**2 + 16/15*p**3 + 0*p. Find w, given that i(w) = 0.
-8, 0
Suppose 0 = -2*n + 51 + 29. Let d(h) = -2*h**2 + 37*h - 77. Let j(w) = -25*w**2 + 480*w - 1000. Let g(y) = n*d(y) - 3*j(y). Solve g(p) = 0 for p.
4
Determine c so that -105*c + 26 - 152 + c**3 - 66 + 21 - 13*c**2 = 0.
-3, 19
Solve 0 + 6*m**2 + 21*m + 3/7*m**3 = 0.
-7, 0
Let c = 783 + -2335/3. Let p be (1/(-4))/((-6)/32). Factor 10/3*d + 2/3 + p*d**4 + 6*d**2 + c*d**3.
2*(d + 1)**3*(2*d + 1)/3
Let t(b) be the third derivative of -b**5/120 + 5*b**4/12 - 25*b**3/3 - 23*b**2 + b. Factor t(d).
-(d - 10)**2/2
Let y(i) be the third derivative of -i**8/336 + 3*i**7/35 - 97*i**6/120 + 12*i**5/5 - 8*i**4/3 - 104*i**2. Solve y(b) = 0 for b.
0, 1, 8
Let o(a) be the second derivative of a**8/43680 - a**7/16380 + 25*a**4/12 - 22*a. Let f(t) be the third derivative of o(t). Factor f(n).
2*n**2*(n - 1)/13
Let n(s) be the third derivative of s**8/168 - s**7/105 - s**6/20 + s**5/30 + s**4/6 - 303*s**2. Suppose n(a) = 0. Calculate a.
-1, 0, 1, 2
Let g(q) be the third derivative of 1/40*q**6 + 0 - 1/2*q**3 + 2*q**2 + 0*q - 3/20*q**5 + 3/8*q**4. Factor g(i).
3*(i - 1)**3
Let a = -101 + 103. Factor 6*u**5 + 0*u**2 - 9*u**3 + 6*u**4 - 9*u**a - 3*u**2 + 12*u - 3*u**5.
3*u*(u - 1)**2*(u + 2)**2
Let r be (-7)/(-2) + 17 + 4 + -24. Find n, given that -n + 0 - r*n**2 = 0.
-2, 0
Let x be (-32)/(-14) + 2/(-7). Let z = 38 - 35. Find v, given that x*v**3 - 6*v**2 - z*v - 3*v**3 + 10*v**2 = 0.
0, 1, 3
Let q(w) be the second derivative of -9 + 1/3*w**3 + 4/3*w**2 + 1/36*w**4 - 2*w. Factor q(z).
(z + 2)*(z + 4)/3
Let c be 1445/170*4/17. Determine t so that 2/5 + 6/5*t + 2/5*t**3 + 6/5*t**c = 0.
-1
Suppose -1385*p + 1388*p - 3*r + 9 = 0, -3*r + 17 = -p. Suppose -34/15*f**2 + 8/15 - 12/5*f**3 - 2/3*f**p + 0*f = 0. Calculate f.
-2, -1, 2/5
Let d(p) = -2*p**2 - 234*p - 355. Let k(y) = y**2 + 113*y + 177. Let x(m) = 3*d(m) + 7*k(m). Factor x(s).
(s + 2)*(s + 87)
Let j be 30*18/45 - (7 + 2). Suppose -4*w**2 - 64/5*w - 64/5 - 2/5*w**j = 0. What is w?
-4, -2
Let q(w) be the third derivative of -3*w**2 + 0*w - 1/60*w**5 + 0 + 0*w**3 - 1/24*w**4 + 1/210*w**7 + 1/120*w**6. Factor q(j).
j*(j - 1)*(j + 1)**2
Let x(n) be the first derivative of -8*n**3/3 + 29*n**2 - 14*n + 30. What is c in x(c) = 0?
1/4, 7
Let m = -30524/7 + 4364. Factor -30/7*h**2 + m - 12/7*h + 12/7*h**4 + 3/7*h**3 + 3/7*h**5.
3*(h - 1)**2*(h + 2)**3/7
Let f = 2/7337 + 7329/29348. Factor 5/4*g**3 + 0 + 3/8*g**4 + 9/8*g**2 + f*g.
g*(g + 1)*(g + 2)*(3*g + 1)/8
Let d(z) be the second derivative of 48*z**6/55 + 12*z**5/11 - 23*z**4/66 - 20*z**3/33 + 4*z**2/11 + 184*z. Find v, given that d(v) = 0.
-2/3, 1/4
Find z such that -8/7*z**2 + 36/7*z**5 + 40/7*z**3 + 0*z - 66/7*z**4 + 0 = 0.
0, 1/2, 2/3
Let k be (-340)/136*2/10*0. Let t(d) be the first derivative of 2/3*d**4 + k*d**2 + 4/9*d**3 + 4/15*d**5 - 4 + 0*d. Determine b so that t(b) = 0.
-1, 0
Factor 44/13*j**2 - 82/13*j + 40/13 - 2/13*j**3.
-2*(j - 20)*(j - 1)**2/13
Let a(p) be the second derivative of p**6/30 + 7*p**5/20 + 4*p**4/3 + 2*p**3 + p + 90. Factor a(v).
v*(v + 2)**2*(v + 3)
Let f be (3 - 0) + 12 + -12. Suppose 4*t + 5*u = 154, 80 = f*t + u - 30. Factor 24*c**2 - 9*c**3 - t*c + 18*c + 4 - c**3.
-2*(c - 1)**2*(5*c - 2)
Let n = -1/6 - -1/4. Let z(j) be the second derivative of n*j**3 - 1/120*j**5 - 1/6*j**2 + 4*j + 0 + 0*j**4. Determine t, given that z(t) = 0.
-2, 1
Let n be 2/3 + -4*(-1)/(-8). Factor n