ative of n**6/280 + 3*n**5/20 + 17*n**4/14 + 65*n**2 - 11*n. Factor t(m).
3*m*(m + 4)*(m + 17)/7
Suppose -1/4*p**3 - 288 + 87*p - 5*p**2 = 0. What is p?
-32, 6
Let y be (108/(-2079)*-33)/(6/28). Let a be (1/2)/(2/92). Suppose -y*k**2 - a*k + 13*k**2 + 33*k = 0. What is k?
-2, 0
Suppose -15 = w, 370*s - 364*s = -5*w - 63. Factor 83/2*r - 21/2 + 5/2*r**3 + 109/2*r**s.
(r + 1)*(r + 21)*(5*r - 1)/2
Let o be ((-3618)/108 + 23)*(-12)/70. Determine n so that -12/5*n + 3/5 + o*n**2 = 0.
1/3, 1
Let f(t) be the first derivative of 77 - 40/11*t**2 + 72/11*t - 1/22*t**4 + 26/33*t**3. Factor f(i).
-2*(i - 9)*(i - 2)**2/11
Let a = 1732 - 2528. Let i = 8768/11 + a. Factor -i*m + 10/11 + 2/11*m**2.
2*(m - 5)*(m - 1)/11
Suppose 2/5*s**2 + 136242/5 - 1044/5*s = 0. Calculate s.
261
Let x be 2 - (-10*3/12 + 15/6). Let f(a) be the first derivative of a**3 + 33/5*a**5 - 3/2*a**x + 16 + 27/4*a**4 + 2*a**6 + 0*a. Factor f(w).
3*w*(w + 1)**3*(4*w - 1)
Let 1/5*i**5 + 7452/5 + 1151/5*i**3 - 1152/5*i - 59/5*i**4 - 7393/5*i**2 = 0. What is i?
-1, 1, 18, 23
Let m(b) be the second derivative of -b**6/36 - 11*b**5/60 - b**4/9 - 160*b - 4. Find f such that m(f) = 0.
-4, -2/5, 0
Let z(p) = -3*p**2 - 3*p. Let y(b) = -2*b**2 - 4*b. Let h(t) = -7*t - 19. Let q be h(-2). Let u(a) = q*z(a) + 6*y(a). Factor u(l).
3*l*(l - 3)
Suppose -h = 5*t - 5010, 2*t - 809 = -4*h + 1195. Suppose -1003*g = -t*g - 2. Determine q so that 10/9*q + 2/9*q**g + 8/9 = 0.
-4, -1
Let q(u) = 2*u + 384. Let b be q(-191). Factor -10/9*i**4 + 0*i + 2/9*i**5 - 14/9*i**b - 26/9*i**3 + 0.
2*i**2*(i - 7)*(i + 1)**2/9
Let q(m) be the second derivative of -5/42*m**4 + 1/70*m**5 + 0*m**2 - 2/7*m**3 + 5*m + 0. Factor q(j).
2*j*(j - 6)*(j + 1)/7
Let m(s) be the first derivative of -s**3/3 + 103*s**2/2 - 1596*s + 142. Solve m(l) = 0 for l.
19, 84
Let j = -12060 - -12072. Let a(p) be the first derivative of -27*p**2 + 15*p**3 + 21 - 21/8*p**4 + j*p. Solve a(w) = 0.
2/7, 2
Suppose -5*k - 2876*l + 2872*l + 340 = 0, 2*k - 134 = -2*l. Let i be (1 - 3) + 4*(-13)/(-6). Factor -150*t**2 - i*t**4 - 1/3*t**5 - k - 145/3*t**3 - 180*t.
-(t + 1)**2*(t + 6)**3/3
Suppose -96*f - 1060 + 500 + 1965*f**2 - 1969*f**2 = 0. Calculate f.
-14, -10
Let a be (1734/56)/(147/196). Let g = 43 - a. Let 0 + g*x**2 - 8/7*x = 0. What is x?
0, 2/3
Let y(l) be the first derivative of l**6/12 + 9*l**5/5 + 119*l**4/8 + 59*l**3 + 117*l**2 + 108*l + 312. Let y(v) = 0. Calculate v.
-6, -3, -2, -1
Let v = 348873 + -1744339/5. Factor -v*u + 2/5*u**3 - 44/5 + 4*u**2.
2*(u - 2)*(u + 1)*(u + 11)/5
Let g be -5*8/9100*395. Let u = 30/13 + g. Factor 0*c - 3/7*c**2 + u + 1/7*c**3.
(c - 2)**2*(c + 1)/7
Let c(q) be the second derivative of -5*q**6/36 + 169*q**5/8 - 505*q**4/36 + 1148*q. Factor c(i).
-5*i**2*(i - 101)*(5*i - 2)/6
Let c(o) be the first derivative of 1/6*o**3 + 3/2*o - 26 + 5/4*o**2 - 1/8*o**4. Solve c(v) = 0.
-1, 3
Let l(s) = 115*s**2 + 521*s - 534. Let z(v) = -134*v**2 - 520*v + 535. Let i(p) = -7*l(p) - 6*z(p). Determine n, given that i(n) = 0.
-528, 1
Let c(k) = -912*k**2 + 6*k + 918. Let b(w) = -w**3 - w**2 - w - 1. Let d(y) = -3*b(y) - c(y). Let d(m) = 0. What is m?
-305, -1, 1
Let x(s) = -26*s**3 + 284*s**2 + 20*s + 24. Let d be x(11). Let a(t) be the first derivative of 36 - 4/33*t**3 + 12/11*t - 5/11*t**d + 1/22*t**4. Factor a(b).
2*(b - 3)*(b - 1)*(b + 2)/11
Let y(f) be the second derivative of -2*f + 1/4*f**3 - 3 + 0*f**2 - 1/24*f**4. Suppose y(d) = 0. What is d?
0, 3
Let i(f) be the second derivative of -2*f + 3 + 0*f**2 - 3/10*f**6 + 0*f**5 + f**4 + 1/14*f**7 + 0*f**3. Factor i(t).
3*t**2*(t - 2)**2*(t + 1)
Determine x so that 12*x + 54/11*x**3 - 2/11*x**5 + 42/11*x**4 - 226/11*x**2 + 0 = 0.
-3, 0, 1, 22
Let m = 636/3139 - -198988/9417. Let -m + 8/3*z + 2/3*z**2 = 0. Calculate z.
-8, 4
Let u(k) be the third derivative of 0 - 16/9*k**3 - 20*k**2 - 8*k - 1/3*k**4 - 1/720*k**6 + 1/24*k**5. Solve u(r) = 0 for r.
-1, 8
Let m = 59965877/205911 - 2/22879. Let k = -291 + m. What is b in -4/9*b**2 - k*b**3 + 8/9*b + 16/9 = 0?
-2, 2
Let g(y) = -9*y**2 - 19*y + 17. Let i(q) = -4*q**2 - 9*q + 8. Let o(m) = -6*g(m) + 13*i(m). Let c be o(2). Factor 17*n - 5*n - c*n - 12*n**2.
-4*n*(3*n - 2)
Let l(b) be the first derivative of -b**6/10 - 1344*b**5/25 + 2034*b**4/5 - 1088*b**3 + 5448*b**2/5 + 5246. Let l(x) = 0. What is x?
-454, 0, 2
Let z(m) be the first derivative of -60*m**2 - 2/35*m**5 + 191 - 56*m - 506/21*m**3 - 15/7*m**4. Suppose z(c) = 0. What is c?
-14, -1
Factor -25*o**2 + 3*o**4 + 204170*o + 2*o**4 - 204155*o + 20 - 15*o**3.
5*(o - 4)*(o - 1)*(o + 1)**2
Let n(f) be the second derivative of -11*f**4/48 + 17*f**3/12 - 3*f**2 + 125*f + 10. Factor n(d).
-(d - 2)*(11*d - 12)/4
Let s = -476599/50 + 9532. Let n(m) be the second derivative of 0*m**2 + s*m**6 + 0 - 4*m + 7/100*m**5 + 0*m**4 - 2/15*m**3. Let n(v) = 0. What is v?
-2, -1, 0, 2/3
Let -1/3*h**5 + 100*h - 137/3*h**3 + 0 + 22/3*h**4 + 140/3*h**2 = 0. What is h?
-1, 0, 3, 10
Let f be (-1)/(5 - 3 - 20/8). Solve -2*c**5 + 12*c**4 + 0*c - 22*c**4 - 14*c**f - 4*c + 0*c - 18*c**3 = 0 for c.
-2, -1, 0
Let o = -1332 - -1338. Let t(n) be the second derivative of -3/10*n**o - 11*n - 4*n**4 + 0 - n**3 + 9/2*n**2 - 21/10*n**5. Find i such that t(i) = 0.
-3, -1, 1/3
Let s(a) be the second derivative of a**4/3 - 2144*a**3/3 + 574592*a**2 + 755*a + 2. Solve s(n) = 0.
536
Let d(i) = -4*i**2 + 1021*i - 1963. Let n(a) = 4*a**2 - 1014*a + 1970. Let b(s) = 2*d(s) + 3*n(s). Suppose b(k) = 0. What is k?
2, 248
Let a(c) be the second derivative of c**4/24 + 52*c**3/3 - 209*c**2/4 - 551*c. Solve a(j) = 0.
-209, 1
Let q(f) be the second derivative of -48*f - 4/33*f**3 - 1 + 4/11*f**2 + 1/66*f**4. Suppose q(n) = 0. What is n?
2
Suppose 17034 = 3*a + 3*l, -l = 4*a - a - 17034. Determine z, given that -36 + 4*z**3 - 2*z**2 + 5738*z - a*z - 26*z**2 = 0.
1, 3
Let x(v) be the second derivative of 0*v**3 + 0*v**2 + v**4 + 9/20*v**5 + 0 - 1/10*v**6 - 57*v. Suppose x(j) = 0. What is j?
-1, 0, 4
Suppose 200061 = -27*c + 200115. Suppose 62/19*y + 28/19*y**4 - 64/19*y**3 - 32/19 + 2/19*y**5 + 4/19*y**c = 0. Calculate y.
-16, -1, 1
Let d(a) = a**4 - a**3 + a**2 - 3*a - 19. Let r(l) = -12*l**4 - 668*l**3 - 4*l**2 + 700*l + 152. Let f(p) = 8*d(p) + r(p). Find b such that f(b) = 0.
-169, -1, 0, 1
Let k(b) be the first derivative of b**3 + 41 + 0*b**2 - 1/3*b**4 + 41*b + 1/60*b**6 - 1/40*b**5. Let w(m) be the first derivative of k(m). Factor w(y).
y*(y - 2)**2*(y + 3)/2
Let t(r) be the second derivative of -52*r - 8*r**4 + 10*r**3 - 16/5*r**5 + 0 - 4*r**2. Factor t(k).
-4*(k + 2)*(4*k - 1)**2
Let y(u) be the third derivative of u**5/540 + 131*u**4/108 + 29*u**3/6 + 4032*u**2. Factor y(s).
(s + 1)*(s + 261)/9
Let i = 6803 - 34012/5. Let k(p) be the first derivative of -6*p**2 - 12*p + 1 + 3*p**3 + i*p**5 + 3*p**4. Solve k(g) = 0.
-2, -1, 1
Suppose 16276 = 84*z - 32*z. Let q = -311 + z. Factor -q + 1/2*b**2 + 1/2*b**3 - 2*b.
(b - 2)*(b + 1)*(b + 2)/2
Let k(i) = -62*i**3 - 730*i**2 - 1514*i - 774. Let l(o) = 26*o**3 + 292*o**2 + 606*o + 310. Let a(r) = 5*k(r) + 12*l(r). Let a(j) = 0. What is j?
-1, 75
Let p be 52480/(-136) - (-4)/(-34). Let c = p + 711. Factor -325 + f**3 + c - f.
f*(f - 1)*(f + 1)
Suppose 50*v = 32*v + 72. What is u in -125*u**v - 99*u**4 - 16*u**5 + 228*u**3 + 102*u**4 + 2*u**5 + 44*u + 102*u**3 - 238*u**2 = 0?
-11, 0, 2/7, 1
Suppose 0 = -i - 537*f + 534*f + 36, 9*f = i + 96. Suppose -66/5*j**4 + 66/5*j**2 - 14/5*j**5 + 0 - 4*j + 34/5*j**i = 0. Calculate j.
-5, -1, 0, 2/7, 1
Find r, given that -r**2 + 80/3 - 56/3*r = 0.
-20, 4/3
Let v be (11298/(-525) + 22)*25. Factor v*r + 1/3*r**3 + 0 - 37/3*r**2.
r*(r - 36)*(r - 1)/3
Let f(b) = 1285*b**2 + 345530*b - 331430435. Let q(i) = -70*i**2 - 19196*i + 18412802. Let k(v) = 3*f(v) + 55*q(v). Determine u, given that k(u) = 0.
1919
Let y be -4 - 0 - (-14 - -6). Factor 45*q**3 - 19*q**4 - 19*q**4 + 71*q**4 - 100*q**2 + 60*q - 18*q**y - 20*q**4.
-5*q*(q - 6)*(q - 2)*(q - 1)
Let v(x) = -61*x + 378. Let b be v(6). Suppose -b*i**4 - 3*i**2 + 15*i**3 - 29 + 3*i**5 - 3*i**2 - 24 + 53 = 0. What is i?
0, 1, 2
Solve -310 - k**2 + 0*k**2 + 1915*k - 1750*k - 4*k**2 = 0.
2, 31
Let t(m) be the second derivative of m**4/90 + 13*m**3/45 - 276*m**2/5 - 334*m - 10. Find k such that t(k) = 0.
-3