 2)**2*(6*u + 1)**2
Suppose 2*w + 13 = -25. Let z = -1 - w. Find n, given that 12 + 9 + 9 + z*n - 3 + 3*n**2 = 0.
-3
Let t(q) be the second derivative of q**7/105 + q**6/12 + q**5/10 - 3*q**4/4 - 18*q**2 + 30*q. Let i(c) be the first derivative of t(c). Factor i(j).
2*j*(j - 1)*(j + 3)**2
Let a(c) be the second derivative of -c**7/630 + c**6/90 + 23*c**4/12 - 77*c. Let f(m) be the third derivative of a(m). Factor f(d).
-4*d*(d - 2)
Let z = -88 + 91. Suppose 23 - z = 4*c. Determine q so that 10 + 5*q**4 - 14 + 20*q**3 - c*q**5 - 20*q**2 + 4 = 0.
-2, 0, 1, 2
Let j = -229495 - -1606477/7. Find t, given that 176/7*t**3 + j*t**4 - 260/7*t**2 + 128/7 - 8*t = 0.
-16, -2/3, 1
Let b(o) be the first derivative of -5*o**3/3 + 50*o**2 - 2743. Factor b(t).
-5*t*(t - 20)
Let c(u) = u**2 - 1031*u - 25977. Let s(m) = -4978 - 585*m + 379*m - 218. Let t(j) = 4*c(j) - 22*s(j). Factor t(n).
4*(n + 51)**2
Let u = 35299 - 458849/13. What is g in -u*g + 10/13*g**3 + 16/13*g**2 + 12/13 = 0?
-3, 2/5, 1
Suppose 0 = 35*a + 2034 + 9936. Let n = 344 + a. Factor 2/21*g**n - 4/7*g + 10/21.
2*(g - 5)*(g - 1)/21
Let m(b) = -9*b**4 + 171*b**3 + 603*b**2 + 735*b + 276. Let h(p) = -2*p**4 + 2*p**3 - p - 3. Let a(w) = -6*h(w) + m(w). Factor a(u).
3*(u + 1)**2*(u + 2)*(u + 49)
Let r(h) be the third derivative of h**7/70 + 599*h**6/40 - 30*h**5 - 8735*h**2. Solve r(v) = 0 for v.
-600, 0, 1
Let t(p) be the third derivative of p**5/330 + 695*p**4/132 + 42*p**3 - 4957*p**2. Factor t(h).
2*(h + 2)*(h + 693)/11
Factor -b**3 - 118*b + 59*b + 63*b + 179 - 4*b**2 - 163.
-(b - 2)*(b + 2)*(b + 4)
Let d = 539 - 74. Let j = -2785/6 + d. Solve -1/6*o**2 + j*o - 2/3 = 0 for o.
1, 4
Let b = 85 - 105. Let n be (b/5 - -64)/2. Solve 20*d**5 + 52*d**3 - 10*d**2 + 112*d**4 - n*d**2 - d + d = 0 for d.
-5, -1, 0, 2/5
Let p be ((-32)/84)/(1130/(-11865)). Suppose -4/3*y**5 - 32/3*y - 16 + 12*y**3 + 52/3*y**2 - 4/3*y**p = 0. Calculate y.
-2, -1, 1, 3
Let k be (-15)/(-45) - (3290/168)/(-47). Find u, given that -63/4*u + 3/4*u**2 - 27/2 + k*u**4 + 15/4*u**3 = 0.
-3, -1, 2
Let -b**4 - 943/3*b - 809/3*b**2 - 97/3*b**3 - 76 = 0. What is b?
-19, -12, -1, -1/3
Let t(j) be the second derivative of -j**4/24 + 6*j**3 - 307*j. Factor t(f).
-f*(f - 72)/2
Solve -64 + 4/5*i**2 - 44/5*i = 0.
-5, 16
Let z = -130874/15 + 8726. Let v(b) be the third derivative of 0 + 2/15*b**7 + 0*b - 4/15*b**6 - 1/84*b**8 - z*b**5 + 0*b**4 - 20*b**2 + 0*b**3. Solve v(m) = 0.
-1, 0, 4
Find d such that -20474*d**5 + 20486*d**5 + 124*d**2 + 438*d**3 + 386*d**4 + d - d = 0.
-31, -2/3, -1/2, 0
Let b be (-21312)/(-592) - 174/5. Determine v, given that 8/5*v**3 - 2/5*v**2 - 9/5*v - 4/5 + b*v**4 + 1/5*v**5 = 0.
-4, -1, 1
Let h be (1 - -2)/(3600/(-125) - -29). Factor -138/5*x**3 - 36/5*x**4 - 3/5*x**5 - h*x + 0 - 36*x**2.
-3*x*(x + 1)**2*(x + 5)**2/5
Let q(d) = 3 - d**2 - 2 - 2. Let m(u) = 8*u - 143. Let f be m(18). Let n(y) = -6*y**2 + 6*y - 4. Let g(j) = f*n(j) - 4*q(j). Factor g(l).
-2*l*(l - 3)
Let z be 136/506 - 840/9660. Factor -2/11 - z*a**3 + 2/11*a + 2/11*a**2.
-2*(a - 1)**2*(a + 1)/11
Let x(t) be the first derivative of t**6/3 - 22*t**5/5 - 36*t**4 - 248*t**3/3 - 64*t**2 - 3288. Let x(l) = 0. What is l?
-2, -1, 0, 16
Let m(u) be the third derivative of u**5/630 - 26*u**4/21 + 2704*u**3/7 + 1211*u**2. Solve m(q) = 0.
156
Find o, given that -2644*o**2 + 2640*o**2 - 3200*o - 361447 - 278553 = 0.
-400
Suppose -1914*b + 1934*b = 60. Let m(y) be the second derivative of 7*y + 1/2*y**5 - 8*y**2 + y**4 + 1/15*y**6 + 0 - 4/3*y**b. Factor m(k).
2*(k - 1)*(k + 2)**3
Suppose -1 = -s - 7. Let w be (1 - s)*(2 + -1). Factor -20*c + w*c**2 + 2*c**2 + 11*c**2 - 15*c**2.
5*c*(c - 4)
Suppose 3*a**3 + 200 + 152*a - 366*a - 378*a + 7*a**3 + 226*a**2 = 0. Calculate a.
-25, 2/5, 2
Let y(o) = 24*o + 3. Let h be y(-2). Let g = h + 47. Factor 4*u - 1 + u**2 + u**g + 4 - 1.
2*(u + 1)**2
Let s(l) be the second derivative of l**7/35 + 3*l**6/50 - 9*l**5/25 - 7*l**4/20 + 3*l**3/5 - 13*l - 32. Solve s(k) = 0.
-3, -1, 0, 1/2, 2
Factor -50 + 271*y**2 - 81*y**2 + 85*y**2 - 365*y - 40*y**3.
-5*(y - 5)*(y - 2)*(8*y + 1)
Let t(w) = w**3 + 8*w**2 - 88*w - 53. Let x be t(-14). Let b(o) be the first derivative of 21 + 4/5*o**2 - 2/15*o**x + 2*o. Factor b(d).
-2*(d - 5)*(d + 1)/5
Let x(j) = 3*j**2 + 336*j - 682. Let u be x(2). Determine p so that 94/25*p + 24/25 - 8/25*p**u = 0.
-1/4, 12
Let t(g) be the third derivative of g**6/540 + 451*g**5/270 + 12656*g**4/27 - 51076*g**3/27 - g**2 + 1466. Factor t(z).
2*(z - 1)*(z + 226)**2/9
Let u(n) be the third derivative of n**6/540 + 7*n**5/270 + 5*n**4/54 + 1512*n**2. Determine y, given that u(y) = 0.
-5, -2, 0
Let d(p) be the third derivative of -p + 1/420*p**8 + 3/10*p**4 + 0 + 7/75*p**6 + 4/15*p**3 + 16/75*p**5 + 4/175*p**7 + 24*p**2. Factor d(i).
4*(i + 1)**4*(i + 2)/5
Let c(b) be the second derivative of -b**7/28980 - b**6/4140 + 2*b**5/345 + 77*b**4/12 + 3*b + 8. Let d(z) be the third derivative of c(z). Factor d(n).
-2*(n - 2)*(n + 4)/23
Let v(n) be the second derivative of n**6/6 + 12*n**5 + 305*n**4 + 9200*n**3/3 + 12000*n**2 - 4596*n. Find t, given that v(t) = 0.
-20, -6, -2
Suppose -4*a - 80/9 + 14/3*a**2 - 2/9*a**3 = 0. Calculate a.
-1, 2, 20
Let a(x) be the first derivative of -3*x**5/5 - 9*x**4/2 + 60*x**3 - 204*x**2 + 288*x + 2058. Determine d, given that a(d) = 0.
-12, 2
Let d(s) = -s**2 - s - 1. Let n(t) = -12*t - t**5 - t - 14*t**3 - 21*t**2 - 6*t**4 - t - 7. Let m(w) = 15*d(w) - 3*n(w). Factor m(g).
3*(g + 1)**4*(g + 2)
Let y be ((-2320)/(-1450)*10/(-196))/((-4)/70). Find j such that 11/7*j**2 + 57/7*j + y = 0.
-5, -2/11
Suppose 0 = -11*j + 182 + 225. Factor -t + j*t - 5*t - 5*t**2 - 6*t.
-5*t*(t - 5)
Let y = 157 + -137. Let 30 - 3*z**2 + y*z - 53*z + 6 = 0. Calculate z.
-12, 1
Let r = -20414 - -20416. Determine w, given that 64 + 8*w + 1/4*w**r = 0.
-16
Let h = -8752854/7 + 1250410. Let 108/7*p**4 - h*p**2 + 0*p + 208/7*p**3 + 0 = 0. Calculate p.
-2, 0, 2/27
Let t be (((-1947)/45)/11)/((-334)/835). Suppose -t*v + 1/6*v**2 - 10 = 0. Calculate v.
-1, 60
Let r = -13 - -22. Suppose r*l - 13*l = 0. Factor 0*n + 1/3*n**5 + 1/3*n**3 + 0 - 2/3*n**4 + l*n**2.
n**3*(n - 1)**2/3
Suppose 3*f = 2*y - 202, f + 22*y + 72 = 25*y. Let z be -2*(7 + 473/f). Let -z*u**2 - 1/3 + 2/3*u = 0. Calculate u.
1
Let q(c) be the third derivative of -4*c**3 + 0 - 1/60*c**6 - 36*c**2 + 0*c + 23/12*c**4 - 1/3*c**5. Determine l, given that q(l) = 0.
-12, 1
Let x(u) = -u**3 + 72*u**2 - 1294*u + 80. Let v be x(38). Suppose 0 + 0*i + 12/5*i**v + 3/5*i**5 + 6/5*i**2 + 3*i**3 = 0. Calculate i.
-2, -1, 0
Suppose -6 = -2*f + 2*g - 14, 0 = 3*f - 5*g + 28. Let i(j) be the second derivative of 2*j + 2*j**2 + 1/3*j**3 + 0 - 1/6*j**f. Factor i(n).
-2*(n - 2)*(n + 1)
Let y be (-28 + 27)*(-9 - -3). Let j(z) be the third derivative of 0 - 1/1680*z**8 + 0*z**5 + 0*z**3 + 0*z**7 + 0*z + 0*z**4 - z**2 + 0*z**y. Solve j(c) = 0.
0
Suppose 69 = -133*l + 409 + 325. Let 0 + 0*v**2 - 2/9*v**l - 2*v**3 - 4/3*v**4 + 0*v = 0. What is v?
-3, 0
Let b(q) be the second derivative of -q**5/190 + q**4/6 + 13*q**3/57 - 1183*q**2/19 + 5*q + 177. Factor b(k).
-2*(k - 13)**2*(k + 7)/19
Suppose 14*s = -35*s + 12*s + 185. Let u(g) be the third derivative of -1/40*g**6 + 1/4*g**4 + 1/20*g**s + 0 + 0*g**3 + 0*g - 18*g**2. Solve u(p) = 0.
-1, 0, 2
Let b = 11/46 - 807/2990. Let z = b - -71/195. Suppose 2/9*t - z*t**2 + 1/9*t**3 + 0 = 0. What is t?
0, 1, 2
Let s = 3/54946 - -68681/27473. Factor -27/2 - s*i**2 + 21/2*i + 1/6*i**3.
(i - 9)*(i - 3)**2/6
Let v = 765845 - 765843. Factor 2 - v*a**2 - 2/3*a**3 + 2/3*a.
-2*(a - 1)*(a + 1)*(a + 3)/3
Let d be (8/(360/15))/(3/4). Suppose d*q**4 + 0 - 4/9*q**2 + 8/9*q**3 - 2/3*q - 2/9*q**5 = 0. Calculate q.
-1, 0, 1, 3
Let z(d) be the second derivative of -3/20*d**2 + 35*d - 1/100*d**5 - 2 + 1/30*d**3 - 1/300*d**6 + 1/30*d**4. Determine y so that z(y) = 0.
-3, -1, 1
Suppose -2*q = 5*k - k - 20, -2*k = -4*q + 10. Let w be ((-44)/(-12) - 4)*k*-3. Factor -9 + 2*i**w - i**2 + 2*i**2 + 9 + i**4.
i**2*(i + 1)**2
Suppose -20 = 8*s - 13*s. Suppose -17 = -2*l - 6*w + 3*w, 0 = -4*l + s*w + 24. Factor -80 + 4*h**3 - 40*h - 4*h**2 + l*h - 31*h.
4*(h - 5)*(h + 2)**2
Let y be ((792/385)/6)/((405/(-126))/(-15)). Factor 0 + 16/5*w**3 - y*w**2 - 2*w**4 + 0*w + 2/5*w