 - 1)*(b + 1)**2
Factor 72*l**2 + 230*l**3 + 218*l - 226*l**3 + 138*l + 288.
4*(l + 1)*(l + 8)*(l + 9)
Let r(o) be the first derivative of o**5/20 + 11*o**4/8 + 9*o**3 - 21*o**2 - 80. Let p(q) be the second derivative of r(q). Find s, given that p(s) = 0.
-9, -2
Suppose -42 - 64 = q - 54*q. Let c = -4 - -4. Factor 2/7*s**q - 2/7*s**3 + c*s + 0.
-2*s**2*(s - 1)/7
Let w be ((-46176)/3848)/(36/(-22)). Solve 1/3*x**4 + 220*x + 181/3*x**2 + 300 + w*x**3 = 0.
-6, -5
Let g(b) be the third derivative of 0*b - 32*b**2 + 1/6*b**5 + 2/3*b**3 - 1/60*b**6 + 0 - 1/315*b**7 - 17/36*b**4. Determine t so that g(t) = 0.
-6, 1
Let f be (3 + -43)/(-5) - 226. Let l = f - -222. Factor 1/6*z**l + 0*z**3 + 0 + 0*z - 1/6*z**2.
z**2*(z - 1)*(z + 1)/6
Let u(r) = -r**3 - 14*r**2 - 19*r - 5. Let f(p) = p**3 + 20*p**2 + 29*p + 7. Let y(j) = 6*j - 103. Let h be y(16). Let z(n) = h*u(n) - 5*f(n). Solve z(s) = 0.
-2, 0, 3
Determine u, given that 561/8*u**2 + 21/8*u**3 + 2535/8 + 3939/8*u = 0.
-13, -5/7
Let y be (6/170)/((-67)/(-335)). Let u(o) be the first derivative of -2/51*o**3 - 4/17*o - y*o**2 - 8. Solve u(n) = 0.
-2, -1
Suppose -3/5*c**2 + 3693/5 + 738*c = 0. What is c?
-1, 1231
Factor 1350/7 - 446/7*t**2 - 906/7*t + 2/7*t**3.
2*(t - 225)*(t - 1)*(t + 3)/7
Let f(c) be the second derivative of -c**5/10 - 26*c**4/3 - 17*c**3 - 1002*c. Suppose f(q) = 0. Calculate q.
-51, -1, 0
Find w, given that -96 - 52/3*w**2 + 72*w + 4/3*w**3 = 0.
3, 4, 6
Let c(t) = t**3 - 5*t**2 + t + 1. Let f(o) = -7*o**3 - 13*o**2 - 165*o - 123. Let v(h) = -6*c(h) - f(h). Determine m, given that v(m) = 0.
-39, -3, -1
Let o = 251008/104595 + 4/20919. Factor -3*r**2 + 3/5*r**3 - o*r + 12.
3*(r - 5)*(r - 2)*(r + 2)/5
Let j be 22/28 + 148/(-518). Let v(z) be the first derivative of j*z**4 + 16*z + 12*z**2 + 4*z**3 - 10. Factor v(n).
2*(n + 2)**3
Let q = 1325858/3 + -441951. Factor q*c**2 - 25/3 + 20/3*c.
5*(c - 1)*(c + 5)/3
Factor 12*c - 1/2*c**4 + 0*c**3 - 45/2 + 11*c**2.
-(c - 5)*(c - 1)*(c + 3)**2/2
Let i(r) be the first derivative of -2*r**3/9 + 814*r**2/3 - 331298*r/3 + 1435. Suppose i(n) = 0. Calculate n.
407
Let n = 12 + -44. Let d be (-16)/6*24/n. Find c such that -12*c + 12*c**2 + 13 - 9 - 4*c**d = 0.
1/2, 1
Let t(a) = a**2 - 12*a + 29. Let x be t(3). What is z in -27*z**3 - 21*z**x + 24*z + 447 + 36*z - 459 = 0?
-2, 2/9, 1
Suppose 0 = n + 4*t - 2*t - 2, 0 = n - t - 2. Determine f, given that 5*f**2 - 26 + 6*f**2 - 10*f - 2 - 9*f**n = 0.
-2, 7
Let j be 767985/1510110 + 8/(-28). Let s = j - 1/1598. Factor 4/3*a - s*a**2 - 2.
-2*(a - 3)**2/9
Let f(s) = 48*s**2 + 13301*s + 1390. Let l be f(-277). Factor 2*z**3 + 7/5*z**4 - 1 + 1/5*z**l - 2/5*z**2 - 11/5*z.
(z - 1)*(z + 1)**3*(z + 5)/5
Let u(l) = -4*l**2 - l + 6. Suppose -3*w + h = 43, 3*h = w - h + 18. Let a(k) = 9*k**2 + 2*k - 14. Let s(d) = w*u(d) - 6*a(d). What is p in s(p) = 0?
-1, 0
Suppose -z - 3 = -3*z + v, -z + 5 = 3*v. Let 25*o - 4*o**3 + 603*o**z + 63*o - 32 - 4*o**5 + 20*o**4 - 671*o**2 = 0. Calculate o.
-2, 1, 4
Factor -11 - 7 - 5924*f + 6332*f + 4216*f**3 - 314*f**2 - 1922*f**4 - 2370*f**2.
-2*(f - 1)**2*(31*f - 3)**2
Let r = 279 + -276. Let y(q) be the third derivative of 0 + 0*q + 1/24*q**6 - 10/3*q**r - 5/24*q**4 + 14*q**2 + 1/3*q**5. Find c such that y(c) = 0.
-4, -1, 1
Factor 2/5*a**2 + 117/5*a - 242/5.
(a - 2)*(2*a + 121)/5
Let i(d) = -2398*d + 52758. Let z be i(22). Factor 12/7 - 26/7*u + 4/7*u**z.
2*(u - 6)*(2*u - 1)/7
Let 78*t + 92*t + 152 - 2*t**3 + 95*t + 28*t**2 - 83*t = 0. Calculate t.
-4, -1, 19
Suppose -3*h + 2*o + 3 = 0, 5 = 5*h + o - 13. Factor -45*i**4 + 477*i**h + 686 + 1316*i**2 - 3822*i + 8*i**5 + 686*i + 203*i**4 + 491*i**3.
2*(i - 1)*(i + 7)**3*(4*i - 1)
Let y = -859/5 - -173. Let l = 34031/5 - 6803. Determine q so that -2*q - 12/5 + y*q**3 + l*q**2 = 0.
-3, -2/3, 1
Suppose -4*k - 28 = 12, -4*g + g - 4*k - 40 = 0. What is b in -1/2*b**5 - 3/2*b**4 + g*b - 3/2*b**3 + 0 - 1/2*b**2 = 0?
-1, 0
Let f be ((-12)/24)/(2/(-8)). Let g(y) be the second derivative of 11*y - 1/80*y**5 - 5/24*y**3 - 1/4*y**f + 0 - 1/12*y**4. Factor g(a).
-(a + 1)**2*(a + 2)/4
Let b(a) be the first derivative of -a**7/420 - a**6/36 + a**5/60 + 5*a**4/12 - 220*a**3/3 + 127. Let w(c) be the third derivative of b(c). Factor w(f).
-2*(f - 1)*(f + 1)*(f + 5)
Suppose 0 = -16*t + 24*t. Suppose t = -17*w + 9*w + 14*w. Let 1/2*m**3 + 1/4*m**4 + w*m**2 - 1/4*m**5 + 0*m + 0 = 0. What is m?
-1, 0, 2
Factor -4/5*b**3 + 0 + 56/5*b**2 + 128/5*b.
-4*b*(b - 16)*(b + 2)/5
Let z(l) be the second derivative of 2*l + 14/5*l**2 + 37/15*l**4 - 79/15*l**3 + 69 - 9/50*l**5. Factor z(j).
-2*(j - 7)*(j - 1)*(9*j - 2)/5
Suppose 18 = j - 2*q - q, 0 = j + 2*q + 7. Let z(k) = 2*k**2 + k + 2. Let o(b) = -7*b**2 + 93*b - 2310. Let v(y) = j*z(y) + o(y). Factor v(p).
-(p - 48)**2
Let w = 3277 - 3277. Let s(n) be the third derivative of 0*n - 7*n**2 + 4/3*n**3 - 1/6*n**4 + w + 1/120*n**5. Suppose s(u) = 0. Calculate u.
4
Let c be 4*(1 - (-4)/(-5)). Let a be (7/112*8)/((-10)/(-32)). Determine l so that -4/5*l**2 - c + a*l = 0.
1
Let r(n) be the first derivative of 7/2*n**2 + 9 - 2/3*n**3 - 1/4*n**4 - 4*n. Factor r(a).
-(a - 1)**2*(a + 4)
Let r = -146617 - -439865/3. Determine j so that -5/3*j**2 - r*j + 1 = 0.
-3, 1/5
Let k(y) = 120*y + 5*y**3 - 288 - 4*y**3 + 11*y**2 + 144. Let r(n) = -2*n**2. Let i(x) = -k(x) + 6*r(x). Factor i(b).
-(b - 1)*(b + 12)**2
Let m = 24779/15 + -1651. Let o(l) be the first derivative of 3/10*l**4 - m*l**3 - 17 + 2/5*l**2 + 0*l. Factor o(c).
2*c*(c - 2)*(3*c - 1)/5
Let -625*j + 72*j**3 - 296*j - 456*j**2 - 161 - 144*j**3 - 301 + 75*j**3 = 0. What is j?
-1, 154
Let 1773*l + 1743*l + 904*l**2 - 12 + 857*l**2 = 0. What is l?
-2, 2/587
Let v(n) = 36985*n**3 - 73780*n**2 + 745*n + 250. Let x(s) = 1193*s**3 - 2380*s**2 + 24*s + 8. Let k(u) = 4*v(u) - 125*x(u). Suppose k(w) = 0. What is w?
0, 2/237, 2
Solve 11626*s**3 - 9483*s**3 - 124872*s + 3583975*s**2 + 2*s**4 + 3673320*s - 30199*s**2 + 3187*s**3 = 0.
-1332, -1, 0
Factor 79981/2*y**2 + 277*y**3 + 1/2*y**4 + 450402*y + 1321938.
(y + 6)**2*(y + 271)**2/2
Let j(v) be the first derivative of -v**3/3 + 53*v**2/6 - 50*v/3 + 3026. Factor j(b).
-(b - 1)*(3*b - 50)/3
Let s be ((38552/7686)/79)/(2/3). Find v such that 0 - 8/21*v - 8/21*v**4 + 2/7*v**3 + s*v**5 + 8/21*v**2 = 0.
-1, 0, 1, 2
Suppose 1241*k + 469 = 2951. Determine y so that -3/4*y**k + 1/4*y**3 + 6 - 11/2*y = 0.
-4, 1, 6
Let f(t) be the first derivative of 0*t - 8 - 35/3*t**3 - t**5 - 25/4*t**4 - 15/2*t**2. Find b such that f(b) = 0.
-3, -1, 0
Let m be ((-81)/8)/(-27) - 101/312. Let b = m + 926/195. Determine f so that -16/5 + 2/5*f**3 - 12/5*f**2 + b*f = 0.
2
Let 30*g + 96/7*g**2 + 108/7 - 6/7*g**3 = 0. Calculate g.
-1, 18
Let t(j) be the third derivative of -j**6/300 + j**5/30 + 4*j**4/5 - 36*j**3/5 - 129*j**2 + 6*j. Let t(h) = 0. What is h?
-6, 2, 9
Let i be -9 - (4 + 1240/(-80)). Let i*r**2 + 140*r + 1960 = 0. Calculate r.
-28
Let f(i) = 3*i**2 + 58*i - 8. Let o(q) = -q**2 + q + 4. Let h(x) = -3*f(x) - 6*o(x). Suppose h(v) = 0. Calculate v.
-60, 0
Let h be (4107/(-120) + 1)/((-9198)/56). Let t = h - 1/438. Determine q, given that -t*q**3 - 6/5*q**2 - 9/5*q + 0 = 0.
-3, 0
Let h(x) = x**2 - 3598*x + 14378. Let t be h(4). Factor -186/5*l + 192/5 - 6/5*l**t.
-6*(l - 1)*(l + 32)/5
Suppose -s**2 - 1/6*s + 1 + 1/6*s**3 = 0. What is s?
-1, 1, 6
Let o(l) be the third derivative of -l**6/120 - l**5/10 + 25*l**4/24 - 3*l**3 + 13*l**2 - l + 18. Suppose o(t) = 0. What is t?
-9, 1, 2
Let y(o) be the first derivative of -o**7/105 - o**6/15 + 3*o**5/25 - 112*o + 6. Let v(p) be the first derivative of y(p). Factor v(w).
-2*w**3*(w - 1)*(w + 6)/5
Let i be (-60)/(-18) - (2/32 - (-4988)/8256). Let 2/3*l**5 + 0 - 4/3*l**3 + 16/9*l + 14/9*l**4 - i*l**2 = 0. What is l?
-2, 0, 2/3, 1
Factor -64/7*p + 288/7 - 2/7*p**2.
-2*(p - 4)*(p + 36)/7
Let t = -56 + 58. Suppose -u = t*s + 1, -4*u + 2*u + 16 = -5*s. Find q such that -2*q + 5*q**3 + 6 - 2*q**u + 17*q + 12*q**2 = 0.
-2, -1
Suppose 10*v**2 - 320*v + 143*v - 280 - v**3 + 3*v**3 + 49*v = 0. What is v?
-10, -2, 7
What is l in -4*l**4 + 23*l**2 - 1/2*l**5 - 28 + 10*l - 1/2*l**3 = 0?
-7, -2, 1, 2
Let l be (2919/(-6))/7 - 3/2. Let j = l + 77. Solve -p**4 + 0*p**4 - 2*p**3 + 4*p**5 - j*p**5 + 5*p**4 = 0.
0, 1
Let k(m) be the