 - 7*w**6/300 - 101*w**3/6 - 19*w. Let g(c) be the second derivative of l(c). Factor g(o).
3*o**2*(o - 14)/5
Factor -5324/3*p**2 - 4/3*p**3 - 21248/3*p - 21232/3.
-4*(p + 2)**2*(p + 1327)/3
Suppose -3252*p + 3232*p + 60 = 0. Let u(g) be the second derivative of 0 + 1/100*g**5 + 44*g + 1/30*g**4 + 0*g**2 - 1/150*g**6 + 0*g**p. Factor u(v).
-v**2*(v - 2)*(v + 1)/5
Factor -1/3*l**3 + 40/3*l**2 - 172/3 + 133/3*l.
-(l - 43)*(l - 1)*(l + 4)/3
Let u be (-34)/(-10) + 2/(-5). Suppose 12*j + 291 = 394 + 689. Factor -8*h + 2*h**u + 50*h**2 - j*h**2 + 40*h.
2*h*(h - 4)**2
Suppose 6 = -5*g - 4*h, g + 10 = -h - 2*h. Let m = -2246 + 15725/7. Find i such that m*i**g + 3/7*i + 0 = 0.
-1, 0
Let d(q) = q**3 + 4*q**2 - 8*q - 10. Let z be d(-5). Let m be z/35*-3 + 72/21. Determine l so that 15*l**2 + 9*l - 3*l**2 + 2*l**m + 6*l**3 - 5*l**3 = 0.
-3, -1, 0
Let u(m) be the first derivative of -34*m**3/33 - 28*m**2/11 + 3417. Factor u(r).
-2*r*(17*r + 28)/11
Let q(g) = -10*g**2 + 302*g - 212. Let a(z) = -46*z**2 + 1510*z - 1058. Let i(y) = 4*a(y) - 19*q(y). Suppose i(l) = 0. Calculate l.
-51, 2/3
Let u(p) be the second derivative of p**5/12 - 50*p**4/9 + 1535*p**3/18 + 290*p**2 - 6088*p. Factor u(m).
5*(m - 29)*(m - 12)*(m + 1)/3
Let i(j) be the second derivative of j**2 + 1/6*j**3 - 1/80*j**5 - 1/24*j**4 + 0 + 64*j. Let i(a) = 0. Calculate a.
-2, 2
Solve 0 - 4/3*d**4 + 4/3*d**2 + 128/3*d - 128/3*d**3 = 0.
-32, -1, 0, 1
Let f be 107 - 99/27*3. Let s be (-8)/20*(-60)/f. Factor -s*a**3 + 0 + a + 0*a**2.
-a*(a - 2)*(a + 2)/4
Factor 1936/5 + 88/5*i + 1/5*i**2.
(i + 44)**2/5
Let m(l) be the first derivative of -2*l**3/33 - 50*l**2/11 - 368*l/11 + 617. Determine n so that m(n) = 0.
-46, -4
Let r = 418 - 424. Let d(y) = -y**4 - 3*y**3 - 5*y**2 + 13*y + 1. Let b(k) = -2*k**4 - 2*k**3 - 6*k**2 + 14*k + 2. Let x(p) = r*d(p) + 5*b(p). Factor x(i).
-4*(i - 1)**3*(i + 1)
Let l be 1*12/2 - (-2 + -1). Factor -856*k + 27*k**4 + 856*k - 6*k**2 + l*k**3.
3*k**2*(3*k - 1)*(3*k + 2)
Let z(t) be the first derivative of t**4/4 - 27*t**2/2 + 68*t + 37. Let q(a) be the first derivative of z(a). Factor q(b).
3*(b - 3)*(b + 3)
Let y(w) = -2*w**3 - 3*w**2 - 2*w - 4. Let x be y(-3). Suppose 5*z - x = -3*g, 3 = z - 5*g - 14. Find p such that 5*p**3 + 12*p + 3*p - 13*p**2 - z*p**2 = 0.
0, 1, 3
Let m(c) be the second derivative of c**6/195 - 29*c**5/65 + 56*c**4/39 + 40*c - 12. What is t in m(t) = 0?
0, 2, 56
Factor 116/15*t + 1682/15*t**2 + 2/15.
2*(29*t + 1)**2/15
Let q(f) be the first derivative of 190 - 17/7*f**3 - 36*f - 3/28*f**4 + 120/7*f**2. Factor q(t).
-3*(t - 2)**2*(t + 21)/7
Let u = -42 + 70. Let i = u + -23. Factor 2*m - i*m**3 + 15*m**2 + 11*m**4 + 2*m + m - 26*m**4.
-5*m*(m - 1)*(m + 1)*(3*m + 1)
Suppose 3*b + g - 19 = 0, 3*g - 5*g = -4*b + 12. Factor -24*q - b*q**2 + 4*q**2 + 4*q**2 - 6*q**2 - 48.
-3*(q + 4)**2
Let s(w) be the third derivative of -1/735*w**7 - 3*w**2 + 0*w - 6 + 0*w**3 + 17/84*w**4 + 11/70*w**5 + 1/28*w**6. Factor s(d).
-2*d*(d - 17)*(d + 1)**2/7
Let r(y) = 2*y**2 + 302*y - 6458. Let n be r(19). Factor -18/5*h + 0 - 2/5*h**3 + 12/5*h**n.
-2*h*(h - 3)**2/5
What is r in 92/3 + 2/3*r**2 - 94/3*r = 0?
1, 46
Factor 78/5*i**2 + 296/5*i - 64/5.
2*(i + 4)*(39*i - 8)/5
Let c(a) = -5*a**3 - 24*a**2 - 19*a - 6. Let r(s) = 9*s**3 + 46*s**2 + 37*s + 10. Let p(y) = -5*c(y) - 3*r(y). Factor p(l).
-2*l*(l + 1)*(l + 8)
Let 32*y**4 - 177 - 229 - 244*y + 48*y**3 - 104*y**2 + 286 + 4*y**5 = 0. What is y?
-5, -3, -1, 2
Let z be ((-23)/(-2))/((-4)/(-8)). Suppose 73 - z = 5*d. Let d*t**2 - t + 9*t - 4 - 2*t = 0. Calculate t.
-1, 2/5
Let c = 77060 - 77058. Find h, given that -1/5*h**3 - 5 + 9/5*h**c - 3*h = 0.
-1, 5
What is o in 3*o**2 - 21*o - 54*o + 8*o - 23*o + 528 = 0?
8, 22
Let q(r) be the second derivative of -r**6/45 + 7*r**5/30 + 2*r**4/9 - 28*r**3/9 + 53*r. Let q(c) = 0. Calculate c.
-2, 0, 2, 7
Let q(s) = -s**3 - 33*s**2 - 63*s - 29. Let a be q(-31). Let z(y) be the first derivative of -a + 4*y - 2/3*y**3 + y**2. Factor z(o).
-2*(o - 2)*(o + 1)
Let g(n) be the third derivative of -1/100*n**5 + n + 2/5*n**4 + 0 + 20*n**2 + 17/10*n**3. Solve g(d) = 0.
-1, 17
Find q, given that -q - 5/11 - 7/11*q**2 - 1/11*q**3 = 0.
-5, -1
Let h(l) be the first derivative of l**4/8 + 5*l**3/6 + 3*l**2/2 + 281. Factor h(o).
o*(o + 2)*(o + 3)/2
Let p(i) = i**2 - 9*i + 10. Let o be p(8). Let v be -1*(3 + -3)/1. Factor o*a**2 + 1 + 4*a - a**2 + v*a**2 - 6*a.
(a - 1)**2
Suppose 45 - 39 = 2*t. Factor -2*l**3 + 2*l**t - 2*l**4 + 2 - 4*l**2 + 4*l**4.
2*(l - 1)**2*(l + 1)**2
Let v(y) = -y**2 - 31*y + 240. Let l(q) = 3*q**2 + 62*q - 481. Let t(x) = -2*l(x) - 5*v(x). Let d be t(16). Let -2/5*o**d + 2/5*o + 0 = 0. What is o?
0, 1
Let x(i) be the first derivative of -2*i**4/5 + 2*i**3/3 + 47*i**2/5 - 24*i/5 - 823. Determine k so that x(k) = 0.
-3, 1/4, 4
Let f(t) be the first derivative of 24 - 25/24*t**4 - 106/3*t**2 + 545/18*t**3 + 14*t. Factor f(y).
-(y - 21)*(5*y - 2)**2/6
Suppose -4*a = o - 6, -5*o = 29 - 59. Let f(t) be the second derivative of 0*t**2 + a*t**4 + 0 + 0*t**3 + 36*t + 9/140*t**5 - 1/70*t**6. Solve f(h) = 0.
0, 3
Let n(t) be the first derivative of -t**4/60 - 2*t**3/5 - 27*t**2/10 - 57*t + 92. Let d(i) be the first derivative of n(i). Factor d(a).
-(a + 3)*(a + 9)/5
Let -23/2*c**2 - 1/2*c**3 - 48 - 59*c = 0. What is c?
-16, -6, -1
Factor 0*d + 80/3*d**3 - 2/3*d**5 + 0 + 0*d**2 - 12*d**4.
-2*d**3*(d - 2)*(d + 20)/3
Suppose 32 = 26*o - 72. What is v in -20 + 95*v**3 - 35*v**o + 98*v + 0*v**3 - 125*v**2 + 97*v**5 - 92*v**5 - 18*v = 0?
1, 2
Suppose -846*p + 1450 = -115*p - 6*p. Factor 2 + 22/5*w + 14/5*w**p + 2/5*w**3.
2*(w + 1)**2*(w + 5)/5
Suppose 6*a = 3*a - c + 13, -4*c = -3*a + 8. Suppose 5*g + 2 = -a*d, -4*g + 0*d + 20 = -4*d. Solve 8*h + 16*h + h**g - 20*h + 3 = 0 for h.
-3, -1
Find l, given that -185*l**3 + l**4 - 32*l**3 - 20*l**3 + 465 + 1058*l**2 + 340*l**2 - 1396*l - 231*l**3 = 0.
1, 465
Factor -7801741 + 45*r**4 + 1320*r**3 + 1700*r**2 + 7801741 + 560*r.
5*r*(r + 28)*(3*r + 2)**2
Let x(m) be the second derivative of 0*m**3 - 1/18*m**7 - 36*m + 0*m**5 + 0 + 0*m**4 + 1/30*m**6 + 0*m**2. Solve x(w) = 0.
0, 3/7
Let c(t) be the first derivative of 13/7*t**3 - 3/28*t**4 - 165/14*t**2 - 15 + 225/7*t. Suppose c(y) = 0. What is y?
3, 5
Factor 1689000/7*d**4 + 1503/7*d + 1692001/7*d**3 + 1/7 + 562500/7*d**5 + 567003/7*d**2.
(d + 1)**3*(750*d + 1)**2/7
Suppose -5 = -5*b, -41*b + 42*b = -4*y + 13. Let c = 12 - 7. Determine i so that 51*i**5 - 55*i**c + 40*i**2 + 20*i**4 - 20*i + 4 - 37*i**3 - 3*i**y = 0.
1
Suppose 36 = 2959*u - 2947*u. Let n(l) be the first derivative of -1/3*l**2 - 1/9*l**u + 0*l + 2. Factor n(d).
-d*(d + 2)/3
Let j = -212 - 45. Let u = j + 257. Solve -4/3*d - 2/3*d**3 - 2*d**2 + u = 0 for d.
-2, -1, 0
Let g = 3649213 - 21895277/6. Suppose 2*u - 5 - 5 = 0. Factor -1/2*f**4 - g*f**2 + 0*f - 1/6*f**u - 1/2*f**3 + 0.
-f**2*(f + 1)**3/6
Let p(b) be the second derivative of -2*b**4/9 - 71*b**3/3 + 54*b**2 + 2*b - 49. Let p(s) = 0. What is s?
-54, 3/4
Suppose 140*j + 93 = 181*j + 11. Let k(x) be the second derivative of 0*x**j - 1/40*x**6 + 3/40*x**5 - 3*x + 0 + 0*x**3 - 1/16*x**4. Factor k(l).
-3*l**2*(l - 1)**2/4
Let j be 3752/52 - (-12)/(-78). Let k be (-16)/(-4)*(j/(-15) + 5). Factor 1/5*h**5 - 3/5*h**3 - 4/5*h**2 + 2/5*h**4 + k*h + 0.
h*(h - 1)**2*(h + 2)**2/5
Let f = -818083 - -818083. Factor f + 5/2*o**3 + 7/2*o**2 + 3/2*o + 1/2*o**4.
o*(o + 1)**2*(o + 3)/2
Let r = 7/11 + 56/33. Let g = r - 19/12. Suppose -3/2 + 3/4*p + 9/4*p**2 - 3/4*p**3 - g*p**4 = 0. What is p?
-2, -1, 1
Let -2972/21*p + 2/21*p**4 + 1984/21 - 2/7*p**2 + 992/21*p**3 = 0. Calculate p.
-496, -2, 1
What is a in 0*a - 184/5*a**2 + 1/5*a**4 + 3*a**3 + 0 = 0?
-23, 0, 8
Let v = -137437 + 687193/5. Determine m, given that -22/15 - 2/15*m**2 - v*m = 0.
-11, -1
Let n be 5 - 2 - ((-5)/1 + -2). Suppose o - 6*o + k = -n, -o = -k - 2. Factor 70*r**3 - 5*r - 50*r**3 - 43*r - 12*r**o - 16.
4*(r - 2)*(r + 1)*(5*r + 2)
Let s be ((-15366)/6786 - 21/(-9)) + 108/957. Determine g, given that s*g**2 - 6/11*g**3 + 6/11*g - 2/11*g**4 + 0 = 0.
-3, -1, 0, 1
Let v(w) be the third derivative of w**7/210 + 7*w**6/30 + 9*w**5/20 - 42*w**2 - w - 1. Suppose v(l) = 0. Calculate l.
-27, -1, 0
Find n, given that -1209 - 3*n**2 + 261 + 4946