(f).
-5*f**2*(f + 1363)
Let l(z) = z**5 + z**3 - z**2 + 1. Let g(a) = 4*a**5 - 12*a**4 - 18*a**3 - 22*a**2 + 6. Let h = 453 + -452. Let x(d) = h*g(d) - 6*l(d). Factor x(f).
-2*f**2*(f + 2)**3
Let l(q) be the third derivative of q**8/6 - 90*q**7/7 - 1951*q**6/30 - 641*q**5/5 - 763*q**4/6 - 68*q**3 + 403*q**2. Determine k, given that l(k) = 0.
-1, -1/2, -2/7, 51
Let r(h) be the second derivative of 0*h**2 - 1/189*h**7 + 0*h**3 + 1/90*h**5 + 0 - 1/135*h**6 + 29*h + 1/54*h**4. Factor r(y).
-2*y**2*(y - 1)*(y + 1)**2/9
Let i(y) = -y**2 + y + 1. Let m(v) = -2*v**4 + 24*v**3 - 41*v**2 + 19*v - 1. Let n(t) = -i(t) - m(t). Suppose n(p) = 0. What is p?
0, 1, 10
Let l(v) be the second derivative of -2 + 22/3*v**3 + 4/3*v**4 - 1/5*v**5 + 12*v**2 - 55*v. Factor l(b).
-4*(b - 6)*(b + 1)**2
Let o(b) = b**2 - 28*b + 501. Let p be o(19). Find g, given that 785/2*g**2 - p*g + 45/2*g**4 - 165*g**3 + 90 = 0.
2/3, 3
Let y = 135 - 248. Let h = -221/2 - y. Factor -15/2*a**2 - 15/2*a - h*a**3 - 5/2.
-5*(a + 1)**3/2
Suppose -4*z + 10 = -18. Factor -161*w**2 - z*w + 49 + 162*w**2 - 8*w + w.
(w - 7)**2
Let i(m) be the first derivative of -m**5/20 - m**4/2 + 37*m**3/12 + 11*m**2/2 + 381. What is c in i(c) = 0?
-11, -1, 0, 4
Let q(n) = 5*n**3 + 90*n**2 + 145*n. Let i(m) = 14*m**3 + 266*m**2 + 436*m. Let p(h) = -3*i(h) + 8*q(h). Suppose p(o) = 0. What is o?
-37, -2, 0
Factor -648/5 + 2/5*z**3 - 414/5*z - 12*z**2.
2*(z - 36)*(z + 3)**2/5
Let p(m) = -67*m - 675. Let g be p(-15). Let u = g - 328. Find d such that 24/11*d**3 - 24/11*d**u + 18/11*d**4 + 0*d + 0 = 0.
-2, 0, 2/3
Let x(k) be the second derivative of k**4/6 + 28*k**3/3 + 195*k**2 + 196*k. Solve x(a) = 0 for a.
-15, -13
Let v(w) be the second derivative of 18*w**2 + 0 + 33*w - 1/3*w**4 - 16/3*w**3. Factor v(x).
-4*(x - 1)*(x + 9)
Let w(m) be the first derivative of -m**5/10 + m**4 - 3*m**3 + 4*m**2 - 327*m + 127. Let j(f) be the first derivative of w(f). Factor j(z).
-2*(z - 4)*(z - 1)**2
Suppose 796*p - 801*p = -4*z - 8, -2*p + 2*z = -4. Factor -3/4*s**3 + 1/4*s**4 - s**2 + p + 0*s.
s**2*(s - 4)*(s + 1)/4
Suppose 41 - 297 = -4*x. Suppose x*p + 60*p - 18*p**2 - 104*p - 2*p**3 = 0. Calculate p.
-10, 0, 1
Let p(o) = 3*o**4 - 2*o**3 + 215*o**2 + 880*o - 2586. Let q(a) = 17*a**4 - 11*a**3 + 1077*a**2 + 4399*a - 12927. Let n(k) = -11*p(k) + 2*q(k). Factor n(s).
(s - 16)*(s - 2)*(s + 9)**2
Find b such that 17767/2*b**3 + 114513/4*b + 985/2*b**4 - 15129/2 + 25/4*b**5 - 32210*b**2 = 0.
-41, 3/5, 2
Suppose -54 = -y - 5*y. Let a be (-1 + 7)*60/y. Suppose -41 - 5*l**2 + l**2 + 5 - a*l = 0. What is l?
-9, -1
Suppose 341*h**2 + 13 - 1006*h**2 - 120*h**3 - 41 + 144*h + 336*h**2 + 333*h**2 = 0. What is h?
-7/6, 1/5, 1
Let w = -396 + 404. Let q be (-2)/w - (-517)/132. Factor q*u**2 - 1/3*u**3 + 1/3*u - 11/3.
-(u - 11)*(u - 1)*(u + 1)/3
Suppose 3 = -5*k + l + 24, 0 = 4*k - 4*l - 4. Let m(b) = 2*b + 14. Let z be m(-6). What is c in 7*c + c**z - k*c - c**2 - 7*c**3 + 5*c**2 = 0?
-2/7, 0, 1
Factor 93542*i**2 + 28*i**4 - 24*i**4 - 1152*i**3 + 336384*i - 8551*i**2 - 4383*i**2 + 341056.
4*(i - 146)**2*(i + 2)**2
Factor 44*c - 19*c - 89*c + 130 + 14 - 4*c**2.
-4*(c - 2)*(c + 18)
Let q(b) be the first derivative of -5*b**2 - 5/3*b**3 - 8 - 5*b. Let q(u) = 0. Calculate u.
-1
Let c(h) = 8*h**4 - 84*h**3 - 626*h**2 + 712*h - 20. Let l(k) = k**4 - k**3 + 2*k**2 - k - 2. Let x(g) = -c(g) + 10*l(g). Determine y so that x(y) = 0.
-19, 0, 1
Let c(d) be the second derivative of -d**5/4 - 145*d**4/2 - 12615*d**3/2 + 1904*d. Suppose c(g) = 0. Calculate g.
-87, 0
Let i be 34/(-4)*3/(6/(-8)). Let -9*r + 7*r + 0*r**2 + 7*r - 2*r**2 + 31*r - i = 0. Calculate r.
1, 17
Let n(g) be the second derivative of -16/13*g**2 - 54 - 4/39*g**4 + g - 20/39*g**3 - 1/130*g**5. Factor n(h).
-2*(h + 2)**2*(h + 4)/13
Let k(z) be the second derivative of -z**6/70 - 123*z**5/70 - 1761*z**4/28 - 1640*z**3/7 - 2400*z**2/7 - 633*z. Factor k(o).
-3*(o + 1)**2*(o + 40)**2/7
Let v(y) be the first derivative of y**6/60 - 3*y**5/4 + 28*y**4/3 + 5*y**3/2 - 225*y**2/4 - 100*y - 90. Let x(l) be the first derivative of v(l). Factor x(k).
(k - 15)**2*(k - 1)*(k + 1)/2
Let s(i) be the third derivative of -i**6/320 + 279*i**5/160 + 35*i**4/8 + 2*i**2 + 7518*i. Factor s(t).
-3*t*(t - 280)*(t + 1)/8
Let o(k) = -4*k + 2*k + 1 + k. Let z be o(-1). Factor 5*h**3 + 0*h**2 + 11 - 4*h**3 - 5*h + h**4 - 3*h**z - 13.
(h - 2)*(h + 1)**3
Let b be 160/(-672)*-28*(-423)/(-75). Suppose 4/5*d**4 - 64/5 - 36*d**2 + b*d + 52/5*d**3 = 0. Calculate d.
-16, 1
Let h(t) be the second derivative of 150*t**7/7 - 151*t**6/2 + 1041*t**5/10 - 291*t**4/4 + 28*t**3 - 6*t**2 + 169*t - 1. Find n such that h(n) = 0.
1/5, 1/4, 2/5, 2/3, 1
Suppose -h + 488 - 485 = 0. Let r(a) be the first derivative of -4/3*a + 6 - a**h - 2*a**2. Factor r(q).
-(3*q + 2)**2/3
Let o(b) be the third derivative of b**5/15 - 112*b**4/3 + 329*b**2. Factor o(x).
4*x*(x - 224)
Factor 13107200 + 2/5*v**3 + 122880*v + 384*v**2.
2*(v + 320)**3/5
Let p be (-10)/220 - 1215/(-594). Solve 24/7*m - 2/7*m**p - 22/7 = 0 for m.
1, 11
Let z(p) be the third derivative of -1/5*p**3 - 68*p**2 + 0 - 1/25*p**5 + 0*p + 0*p**6 - 2/15*p**4 + 1/525*p**7. Factor z(h).
2*(h - 3)*(h + 1)**3/5
Let z(t) be the second derivative of 9/4*t**4 + 33/20*t**5 + 2*t - 119/2*t**3 + 147*t**2 - 61 + 1/10*t**6. Suppose z(k) = 0. Calculate k.
-7, 1, 2
Let x(g) be the second derivative of 7*g**6/195 + g**5/130 - 4*g**4/39 - 19*g - 10. Factor x(k).
2*k**2*(k - 1)*(7*k + 8)/13
Let t(a) be the second derivative of 1/12*a**4 + 2 + 1/3*a**3 - 14*a + 0*a**2. Solve t(h) = 0.
-2, 0
Suppose -3*z + 29 = 2. Let y(p) = -5*p**2 + 5*p - 17. Let h(r) = r**2 - r + 4. Let s(i) = z*h(i) + 2*y(i). Factor s(u).
-(u - 2)*(u + 1)
Let n(w) be the first derivative of w**6/9 + 16*w**5/15 + 11*w**4/6 - 16*w**3/9 - 4*w**2 + 574. Let n(h) = 0. What is h?
-6, -2, -1, 0, 1
Factor -2/7*f**2 + 14388/7*f - 25876818/7.
-2*(f - 3597)**2/7
What is b in 468*b**3 - 156816 + 84*b**3 + 17744*b - 25502*b**2 + 91552*b + 4874*b**2 - 4*b**4 = 0?
3, 66
Let m(b) be the first derivative of 0*b + 34/3*b**3 + 0*b**4 + 1/30*b**6 - 1/30*b**5 + 4 + 0*b**2. Let x(h) be the third derivative of m(h). Factor x(k).
4*k*(3*k - 1)
Factor -11 - 193*o + 779/4*o**2 + 37/4*o**3.
(o - 1)*(o + 22)*(37*o + 2)/4
Let h(u) be the first derivative of -u**4/8 + 129*u**3/2 + 550. Find y, given that h(y) = 0.
0, 387
Let n(m) be the first derivative of -m**4/9 + 40*m**3/9 - 200*m**2/3 + 57*m + 166. Let g(a) be the first derivative of n(a). Factor g(i).
-4*(i - 10)**2/3
Factor -39/5*x**2 + 0 - 1/5*x**4 - 21/5*x**3 - 19/5*x.
-x*(x + 1)**2*(x + 19)/5
Suppose 45 = 34*y - 29*y. Let 27 - 5*i**3 - 51*i - y*i**3 + 21*i**2 + 17*i**3 = 0. What is i?
-9, 1
Let r be (((-91)/(-4))/(-7) - -6) + 22*10/(-80). Factor 2/11*d**4 + r*d + 0*d**2 + 0 - 40/11*d**3.
2*d**3*(d - 20)/11
Let q(h) = -15665*h. Let v be q(0). Factor v + 3/2*m + 19/2*m**3 - 11*m**2.
m*(m - 1)*(19*m - 3)/2
Factor -45*l**2 - l**4 + 159643*l**3 + 6*l**4 - 159613*l**3 - 70*l.
5*l*(l - 2)*(l + 1)*(l + 7)
Let f = -143 + 217. Suppose 2*m**2 - 40*m + 54 + 8*m + f = 0. What is m?
8
Let q(z) be the second derivative of 529*z**4/30 - 5704*z**3/15 + 15376*z**2/5 + 17*z - 99. Let q(g) = 0. What is g?
124/23
Solve -134*i**2 - 30*i + 24*i**2 - 17*i - 68*i - 5 = 0.
-1, -1/22
Let a(t) be the first derivative of t**3/3 - 140*t**2 - 281*t - 8226. Factor a(f).
(f - 281)*(f + 1)
Solve 1366/7*y**2 + 680/7*y**3 + 684/7*y + 0 - 2/7*y**4 = 0.
-1, 0, 342
Let g(h) be the third derivative of h**6/96 + 83*h**5/48 + 175*h**4/2 - 735*h**3/2 + 53*h**2 + 4*h. Factor g(j).
5*(j - 1)*(j + 42)**2/4
Let c(y) be the second derivative of -139 + 2*y + 5/8*y**3 + 0*y**2 - 3/160*y**5 - 3/32*y**4. Solve c(r) = 0.
-5, 0, 2
Let z(r) be the first derivative of -9 - 8/15*r**3 + 1/15*r**4 + 13/2*r**2 + 0*r - 1/300*r**5. Let v(h) be the second derivative of z(h). Factor v(x).
-(x - 4)**2/5
Let f = 10/50569 + 50549/101138. Factor 0 + 0*n - f*n**3 - 19*n**2.
-n**2*(n + 38)/2
Suppose 20*b = 263 + 3097. Let f be ((-7)/(-4))/(b/144). Determine k so that -1029/4*k**3 - 105/4*k + 147*k**2 + f = 0.
1/7, 2/7
Let p = 9009 + -9009. Let n(f) be the third derivative of p + 0*f + 1/40*f**4 - 1/100*f**5 + 1/5*f**3 + 5*f**2. What is i in n(i) = 0?
-1, 2
Let y(m) be 