(b) = -7*k(b) + 3*y(b). Let f(i) = 0. What is i?
-99, 0
Let g(x) be the second derivative of 2/39*x**3 + 0*x**2 + 5/78*x**4 + 76*x + 0 - 1/39*x**6 - 1/65*x**5. Solve g(n) = 0.
-1, -2/5, 0, 1
Let h be 2/(-9) - 266/(-63). Let g be 50/(h/(2 - -2)). Determine n, given that -43 + g*n + 23 - 39 - 66 - 5*n**2 = 0.
5
Suppose 0 = 7*a - 9 - 5. Suppose a = -6*k + 14. Factor -k*z**3 - z**2 + 2*z**2 + 0*z**3 + 3*z**3.
z**2*(z + 1)
Factor -176/3 + 2/3*f**2 - 58*f.
2*(f - 88)*(f + 1)/3
Let j(w) be the second derivative of -w**5/35 - 92*w**4/21 - 642*w - 2. Factor j(v).
-4*v**2*(v + 92)/7
Let k(u) be the second derivative of -u**4/4 + 97*u**3/3 + 65*u**2/2 - 1199*u. Factor k(v).
-(v - 65)*(3*v + 1)
Let t(q) be the first derivative of -q**3/3 + q + 32. Let i(p) = 5*p**2 - 6*p - 6. Let k(c) = i(c) + 6*t(c). Factor k(j).
-j*(j + 6)
Let c = 9562/5 - 1696. Let f = c - 216. Factor 0*l**2 + 0*l + 1/5*l**5 - 1/5*l**4 + 0 - f*l**3.
l**3*(l - 2)*(l + 1)/5
Factor 127/5*n - 22 - 1/5*n**3 - 16/5*n**2.
-(n - 5)*(n - 1)*(n + 22)/5
Let j = -536 - -2683/5. Let x(s) be the first derivative of 0*s - 1/3*s**3 - j*s**5 + 3/2*s**6 - 5/4*s**4 + 13 + 0*s**2. Factor x(k).
k**2*(k - 1)*(3*k + 1)**2
Factor 255 + 2*x**3 - 3022*x - 106*x**2 + 393 + 5781*x - 2879*x.
2*(x - 54)*(x - 2)*(x + 3)
Let i = -1773 - -3459. Factor 1686 + 21*v**3 - i - 3*v**4.
-3*v**3*(v - 7)
Let x(w) be the third derivative of w**6/480 - w**5/120 - 7*w**4/3 + 984*w**2. Find v such that x(v) = 0.
-14, 0, 16
Factor -12*q**2 - 320*q + 3*q**3 - 48*q**2 + 400 - q**3 - 6*q**3 - 16*q**2.
-4*(q - 1)*(q + 10)**2
Let n = 3754/2283 + 17/761. Let y(j) be the first derivative of 31 + 0*j - n*j**3 - 15*j**2. Find f such that y(f) = 0.
-6, 0
Let z be 12/3 - (22 - 8456/462). Let x(p) be the first derivative of -z*p**3 + 0*p - 26 + 2/11*p**2. Factor x(b).
-2*b*(5*b - 2)/11
Let f(x) be the second derivative of x**6/60 + 7*x**5/20 + 2*x**4 - 7*x**3/6 - 49*x**2/4 + 1132*x. Factor f(j).
(j - 1)*(j + 1)*(j + 7)**2/2
Let w(p) be the first derivative of 5*p + 0*p**2 - 14 - 1/12*p**4 - 1/6*p**3. Let r(z) be the first derivative of w(z). Let r(y) = 0. Calculate y.
-1, 0
Let v = -608738/3 + 202918. Factor -2/9*x**5 - 32/9*x + 64/9*x**2 + 16/9*x**4 - v*x**3 + 0.
-2*x*(x - 2)**4/9
Let 0 + 9/4*t**3 - 19/8*t**2 + 0*t + 1/8*t**4 = 0. Calculate t.
-19, 0, 1
Let p be (-10515)/(-4907)*14/10. Let 3/4*t**p - 33/2*t**2 + 0 - 36*t = 0. What is t?
-2, 0, 24
Factor 430*w**2 - 239*w**3 + 69 - 31*w**3 - 295*w + 5*w**5 + 55*w**4 + 3 + 3.
5*(w - 1)**4*(w + 15)
Let o(x) = 7*x**2 - 3*x - 13 - 9*x**2 - 28*x. Let n be o(-15). Find f, given that -380*f**n + 380*f**2 + 6*f**5 + 4*f**3 - 14*f**4 = 0.
0, 1/3, 2
Let z(n) be the second derivative of 1/18*n**4 + 2/3*n**2 + 1/3*n**3 + 2 - 14*n. Factor z(c).
2*(c + 1)*(c + 2)/3
Let n(a) be the first derivative of -30*a - 26*a**2 + 10 - 26/3*a**3 - a**4. Let n(c) = 0. What is c?
-3, -5/2, -1
Suppose -144 = -n - 37. Factor -160 - 25*i**2 + 9*i**2 + 21*i + n*i - 34*i**2 + 32*i + 5*i**3.
5*(i - 4)**2*(i - 2)
Let c = 3256 - 3251. Let l(r) be the first derivative of -22 - 8/5*r**3 - 21/20*r**4 + 0*r - 3/25*r**c + 24/5*r**2. Factor l(t).
-3*t*(t - 1)*(t + 4)**2/5
Let w(k) be the second derivative of -k**4/78 + 578*k**3/13 - 751689*k**2/13 - 63*k. Factor w(b).
-2*(b - 867)**2/13
Suppose -y - 4*b - 14 = -42, 0 = 2*y + 4*b - 36. Suppose y*a - 3*a - 455 = 0. Factor 16*i - 88*i**2 - 2*i**4 + 191*i**2 - a*i**2 + 6.
-2*(i - 3)*(i + 1)**3
Let y(z) = 24*z**5 - 32*z**4 - 94*z**3 + 58*z**2 + 4*z - 70. Let g(w) = w**5 - w**4 - 4*w**3 - 1. Let c(u) = -22*g(u) + y(u). What is o in c(o) = 0?
-2, -1, 1, 3, 4
Factor -68*p - 7*p - 56*p - 14*p - 7*p + p**2.
p*(p - 152)
Let f be (-1526)/(-1328) - (-1680)/(-69720). Factor -21/4 - f*h**2 - 69/8*h.
-3*(h + 7)*(3*h + 2)/8
Let m(h) be the second derivative of -h**4/12 - 193*h**3/3 + 388*h**2 + 2*h - 1072. Factor m(z).
-(z - 2)*(z + 388)
Let t(i) = -i**3 + 34*i**2 - 3*i + 104. Let g be t(34). Find m such that 55/4*m - 5*m**g - 15/2 - 5/4*m**3 = 0.
-6, 1
Let x be (4 + 31192/(-7794))/(4/(-1290)). Let l = 2/433 + x. Factor l - 2/3*b + 1/6*b**2.
(b - 2)**2/6
Let t be ((-8)/(-440))/((-23)/(-1012)). Determine h so that -186/5*h**2 + 10*h + t = 0.
-2/31, 1/3
Let s = -4177697/5 + 835541. Factor 2/5*b**2 - 6/5*b - s.
2*(b - 4)*(b + 1)/5
Let t = -261106 - -261106. What is m in t + 0*m - 8/5*m**2 - 6/5*m**3 + 1/5*m**5 + 3/5*m**4 = 0?
-4, -1, 0, 2
Solve 729 + s**3 - 166*s - 120*s**2 - 16*s**3 - 1810*s**2 + 821*s + 561 = 0.
-129, -2/3, 1
Let i(c) = -c**3 + 23*c**2 - 40*c + 14. Let b(q) = 45*q**2 - 80*q + 25. Let u(x) = 2*b(x) - 5*i(x). Determine d so that u(d) = 0.
1, 2
Let q(o) be the third derivative of 0 + 5/24*o**4 - 11*o - 5*o**3 + 3*o**2 + 1/12*o**5. Solve q(w) = 0.
-3, 2
Let z(w) be the first derivative of 3*w**5/35 - 25*w**4/42 - 4*w**3/7 - 16*w**2 - 4. Let f(y) be the second derivative of z(y). Let f(d) = 0. Calculate d.
-2/9, 3
Let p(n) be the second derivative of -n**4/48 - 1067*n**3/24 + 1069*n**2/4 - 9*n + 123. Factor p(y).
-(y - 2)*(y + 1069)/4
Suppose -9*f = -f - 7056. Solve 3*d**2 - f + 5*d**2 + 84*d - 15*d**2 + 5*d**2 = 0.
21
Let o = 7 + -4. Suppose -4*l - i + 7 = 0, -16*l = -14*l - 2*i - 6. Factor 5*k**o - 6*k - 8*k**2 - l*k - 7*k**3.
-2*k*(k + 2)**2
Let g(o) = 47*o + 13*o + 620 + 129 + 7*o**2 + 334. Let x(j) = j**2 - j - 1. Let a(y) = -g(y) + 6*x(y). Determine q, given that a(q) = 0.
-33
Let c(a) = 13*a**3 - 94*a**2 + 97*a - 6. Let o be c(6). Determine x so that 0*x + o + x**2 + 6/5*x**3 + 1/5*x**4 = 0.
-5, -1, 0
Let l(s) = 87*s**2 + 77*s - 254. Let c(o) = -22*o**2 - 22*o + 64. Let f(d) = -9*c(d) - 2*l(d). Determine m so that f(m) = 0.
-17/6, 1
Let g be (-3 + 377/9)*-3. Let b = 117 + g. Factor 0 - b*t + 1/6*t**2.
t*(t - 2)/6
Let o = -905 - -907. Let j(q) be the third derivative of -5/6*q**4 - 1/30*q**5 + 0 + 11*q**o - 25/3*q**3 + 0*q. Factor j(b).
-2*(b + 5)**2
Let d(x) = -x**3 - 34*x**2 + 35*x - 1. Let q be d(-35). Let i = q + 85. Factor -218/3*n**3 + 0 + 24*n**2 + i*n**4 - 98/3*n**5 - 8/3*n.
-2*n*(n - 1)**2*(7*n - 2)**2/3
Let a(k) be the second derivative of 17/30*k**4 + k - 1/50*k**5 - 40 + 3*k**2 - 31/15*k**3. Let a(g) = 0. Calculate g.
1, 15
Let h(u) be the second derivative of u**4/3 + 2234*u**3/3 + 2*u + 700. Factor h(j).
4*j*(j + 1117)
Find b, given that 8/9*b**3 - 2/9*b**4 - 32/9*b + 8/9*b**2 + 0 = 0.
-2, 0, 2, 4
Let v(d) = d**2 + 12*d + 3. Let u be v(-12). Factor -43*w**3 - 37*w**u - 3719*w**4 - 962*w**2 + 162*w**2 + 3717*w**4.
-2*w**2*(w + 20)**2
Let q = -522 + 519. Let k be 75/80*(-20)/q. Solve -25/4*x**3 + x - k*x**2 + 1 = 0 for x.
-1, -2/5, 2/5
Let j be (4 - 3)/(-1) - -117. Suppose -5*f - h + j = 0, 2*f + f - 2*h = 67. Factor 7*o**3 + 3*o**2 - 23*o - f*o**2 + o**3 + 31*o.
4*o*(o - 2)*(2*o - 1)
Determine t so that 43/5*t - 6/5*t**2 - 23/5*t**3 - 4/5*t**4 - 2 = 0.
-5, -2, 1/4, 1
Determine b so that 0 - 126/5*b + 1194/5*b**3 - 51*b**2 + 108/5*b**5 - 921/5*b**4 = 0.
-2/9, 0, 3/4, 1, 7
Let p(c) be the second derivative of -c**5/220 + 7*c**4/44 + 15*c**3/22 + 23*c**2/22 + 818*c - 1. Factor p(i).
-(i - 23)*(i + 1)**2/11
Let c(k) be the second derivative of k**5/110 - 95*k**4/66 + 17*k**3/3 - 93*k**2/11 - k - 1171. Suppose c(m) = 0. Calculate m.
1, 93
Let m be (4/3)/(-1) - 36/(-27). Let a(t) be the first derivative of 2/9*t**3 - 1/18*t**4 + 0*t + m*t**2 + 16. Solve a(h) = 0.
0, 3
Let g(q) be the third derivative of q**7/315 - q**6/30 - 77*q**5/30 + 484*q**4/9 + 1446*q**2 - 2. Factor g(z).
2*z*(z - 11)**2*(z + 16)/3
Let k = -2745 - -2318. Let y = k + 429. Factor 2/5*p**y - 4/5*p - 6/5.
2*(p - 3)*(p + 1)/5
Let l(j) = 19*j**2 - 100*j + 637. Let q(i) = -3*i**2 + 17*i - 106. Let u(f) = 6*l(f) + 39*q(f). Suppose u(b) = 0. What is b?
8, 13
Find z such that 128*z + 0*z**3 + 90 - 2/3*z**4 + 116/3*z**2 = 0.
-5, -3, -1, 9
Let w = 6185/4 - 1762721/1140. Let r(h) be the second derivative of 0*h**3 + 5*h + 0*h**2 + 1/190*h**5 - 1/57*h**4 + 0 + w*h**6. Let r(l) = 0. Calculate l.
-2, 0, 1
Suppose 8*k - 19 = -35. Let z be (-56)/(-190) + (-14)/266*k. Find r, given that 2/15*r**3 - z*r**4 + 0*r + 0 + 0*r**2 = 0.
0, 1/3
Let u = -78412 - -235238/3. Let 0*r + 2/9*r**5 + 10/9*r**4 + u*r**2 + 14/9*r**3 + 0 = 0. Calculate r.
-3, -1, 0
Let m(n) = -8*n**2 - 317*n + 114. Let q(t) = -16*t**2 - 634*t + 225. Let v(j)