a + 17)**2
Suppose -72900 - 262*s - 4*s**2 - 132*s + 237*s - 923*s = 0. Calculate s.
-135
Solve 692/11 + 2/11*d**2 - 350/11*d = 0.
2, 173
Let v(z) = 5*z**5 + 112*z**4 + 518*z**3 + 764*z**2 + 523*z + 128. Let g(c) = c**5 - 2*c**4 + 2*c**3 + 2*c. Let b(k) = 6*g(k) - v(k). Factor b(h).
(h - 128)*(h + 1)**4
Suppose 2 = -v - 3*d, -2*v - 3*v - 10 = -3*d. Let w be v - 17/(-5) - 24/(-40). Let -7*s**w + 66*s**3 + 14*s**4 + 16*s - 118*s**3 + 47*s**2 = 0. What is s?
-2/7, 0, 2
Let z(a) be the first derivative of 0*a**3 - 1/9*a**6 + 241 + 0*a + 0*a**2 - 5/3*a**4 + 14/15*a**5. Solve z(m) = 0 for m.
0, 2, 5
Let i(y) be the first derivative of -y**4/28 + 194*y**3/7 + 1167*y**2/14 + 584*y/7 - 1645. Determine w, given that i(w) = 0.
-1, 584
Let i(v) = -169*v - 1689. Let f be i(-10). Determine l so that 3/4*l - 1/4*l**2 + f = 0.
-1, 4
Let x be (2/(-9) - 10/(-45))*27/((-2214)/(-41)). Factor -2/5*y + x + 4/5*y**2 - 2/5*y**3.
-2*y*(y - 1)**2/5
Let t(l) be the first derivative of -1/15*l**6 + 2/5*l**2 + 0*l - 40 + 6/25*l**5 - 1/10*l**4 - 2/5*l**3. Find s such that t(s) = 0.
-1, 0, 1, 2
Suppose 9*y = 8*y + 79. Suppose -y + 2135 = 8*n. Determine p so that n*p - 7*p**2 - 5*p**3 - 262*p + 17*p**2 = 0.
0, 1
Suppose -5*f + 17 = z, -196 = -12*z + 4*f - 184. Determine v, given that -108/11*v - 240/11 + 6/11*v**z = 0.
-2, 20
Let w(h) = h**3 + h + 1. Let v(f) = 12*f - 10 - 23*f**3 + 8*f**2 + 0 + 7*f**3. Suppose 250 - 252 = -m. Let c(y) = m*w(y) + v(y). Factor c(g).
-2*(g - 1)*(g + 1)*(7*g - 4)
Suppose 0 - 32/13*m + 0*m**2 + 2/13*m**3 = 0. What is m?
-4, 0, 4
Let i(o) be the third derivative of 0 - 3*o**3 - 7/10*o**5 - 75*o**2 + 0*o + 7/3*o**4 + 1/30*o**6. Factor i(t).
2*(t - 9)*(t - 1)*(2*t - 1)
Let u be 14/7*52/40 - 198/330. Factor 3888/5 + 3/5*f**u + 216/5*f.
3*(f + 36)**2/5
Let k(c) be the third derivative of c**2 + 0*c**3 - 1/168*c**8 + 0*c**6 + 4/3*c**4 + 0 + 4/105*c**7 - 8/15*c**5 - 33*c. Solve k(d) = 0.
-2, 0, 2
Let z(n) be the first derivative of -n**7/168 - n**6/60 + n**4/24 + n**3/24 + 6*n + 127. Let f(g) be the first derivative of z(g). Factor f(b).
-b*(b - 1)*(b + 1)**3/4
Let t be ((-4)/6)/((-2)/12). Let q be (-40)/(-2) - (-5 + 3). Factor -6*k - 22*k**3 + t*k**3 + 2*k + q*k**2.
-2*k*(k - 1)*(9*k - 2)
Factor -2/7*t + 8/7*t**2 + 2/7*t**3 - 8/7.
2*(t - 1)*(t + 1)*(t + 4)/7
Let -23*d**4 - 147*d**3 + 0 + 1/3*d**5 + 0*d - 225*d**2 = 0. What is d?
-3, 0, 75
Let r(v) = -9*v - 7. Suppose 4*g + 24 = 5*q, -q + 5*q = -4*g + 12. Let d be r(g). Determine m, given that 35*m + 6*m**3 + 25*m**2 + d*m**3 - 3*m**3 + 15 = 0.
-3, -1
Solve 20*r**2 + 76*r**4 + 4*r - 12*r + 8*r + 18*r**5 + 84*r**3 - 6*r**5 = 0 for r.
-5, -1, -1/3, 0
Let x(d) be the third derivative of 240*d**2 + 0 + 0*d**3 + 4/3*d**4 + 0*d + 16/105*d**7 + 0*d**5 - 1/56*d**8 - 2/5*d**6. Let x(v) = 0. What is v?
-2/3, 0, 2
Let r(h) be the third derivative of h**7/210 - 67*h**6/120 - 17*h**5/15 + 1039*h**2. Factor r(n).
n**2*(n - 68)*(n + 1)
Let b = -15621770/19 + 822200. Factor 6/19*w**2 + 26/19*w - b - 2/19*w**3.
-2*(w - 5)*(w - 1)*(w + 3)/19
Let q(o) = 11*o - 78. Let n be q(25). Let l = 2173/11 - n. Factor -2/11*m + 0 + l*m**2 + 8/11*m**3.
2*m*(m + 1)*(4*m - 1)/11
Let f(n) be the first derivative of -n**6/16 - 417*n**5/8 - 185775*n**4/16 - 538695*n**3/4 - 9585135*n**2/16 - 9529569*n/8 + 11296. What is y in f(y) = 0?
-343, -3
Let r(z) be the second derivative of -1/60*z**4 - 1/300*z**6 - 1/75*z**5 + z + 14*z**2 + 0*z**3 + 0. Let w(l) be the first derivative of r(l). Factor w(o).
-2*o*(o + 1)**2/5
Let m(w) = w**2 - w + 3. Let k be m(0). Suppose 2*c = -2*a + 4, 14 = 2*a + k*a + 3*c. Factor 11*f**4 + 3*f**3 - 9*f**5 + f**4 - a + 4 - 6*f**2.
-3*f**2*(f - 1)**2*(3*f + 2)
Let g = 1346 + -1355. Let z be 2/g - 1120/630 - -8. Find v such that 3*v**5 + 36/7*v**4 + 6/7 - z*v**2 - 9/7*v - 12/7*v**3 = 0.
-1, 2/7, 1
Let s(t) be the second derivative of -t**8/4480 + t**6/120 + 9*t**4/2 + 38*t + 2. Let c(u) be the third derivative of s(u). Factor c(l).
-3*l*(l - 2)*(l + 2)/2
What is p in -14/13*p**5 - 46/13*p**4 + 12/13*p + 46/13*p**2 + 0 + 2/13*p**3 = 0?
-3, -1, -2/7, 0, 1
Let m be ((-138956)/540330)/((1 + -5)/40). Let h = m + -2/7719. Let 4/7 + 8/7*v**2 + h*v = 0. What is v?
-2, -1/4
Let r(w) = 7*w**2 - 204*w + 197. Let d(i) = 17*i**2 - 410*i + 393. Let u(v) = -6*d(v) + 14*r(v). Factor u(x).
-4*(x - 1)*(x + 100)
Let z(y) = -y**2 - 20*y - 89. Let m be z(-13). Let g(h) be the second derivative of -1/42*h**4 + 0*h**3 + 0 + 4/7*h**m + 8*h. What is w in g(w) = 0?
-2, 2
Let b be 4604/46 + (-36)/(-3726)*-9. Let n(w) = w**3 + 9*w**2 + 8*w + 2. Let o be n(-8). Factor -2*v**3 + 12*v**2 - b + o*v**2 + 110 - 22*v.
-2*(v - 5)*(v - 1)**2
Let j(c) = 5*c**4 + 11*c**3 - 8*c**2 - 20*c - 6. Let w(k) = k**4 + 3*k**2 - 6*k - 1. Let g(t) = -5*j(t) + 30*w(t). Factor g(d).
5*d*(d - 8)*(d - 2)*(d - 1)
Let u(f) = -8*f**4 + 25*f**3 + 30*f**2 + 23*f - 61. Let o(d) = -d**4 + d**3 - d**2 + 3*d - 1. Let p(x) = -36*o(x) + 4*u(x). Let p(i) = 0. What is i?
-13, -2, 1
Let o(m) = m**2 + m + 66. Let y(q) = 2*q - 72 + 2*q**2 + 231 - 92. Let w(t) = 7*o(t) - 6*y(t). Factor w(s).
-5*(s - 3)*(s + 4)
Factor 22 + 29*j + 18 + 22 + 4*j**2 + 0 - 5*j**2.
-(j - 31)*(j + 2)
Suppose -4*v + 4*k = 3*k + 207, 2*k = -3*v - 147. Let r be 4/(-10)*85/v. Suppose -8/3*j - 2/3*j**4 + r*j**3 + 0 + 8/3*j**2 = 0. What is j?
-2, 0, 1, 2
Let i(w) = 14*w**2 - 46*w - 158. Let d(g) = 17*g**2 - 46*g - 156. Let t(s) = 5*d(s) - 6*i(s). Let t(b) = 0. Calculate b.
-42, -4
Let a(l) = -2*l**2 - 95*l - 1210. Let f(k) = k**2 + 48*k + 609. Let u(v) = -2*a(v) - 5*f(v). Factor u(r).
-(r + 25)**2
Suppose 4*p - 271 = -3*l, -17*p + 285 = 3*l - 20*p. Find r, given that -72*r**2 + 12*r - 227*r**4 + l*r**3 - 217*r**4 + 429*r**4 - 30*r**3 = 0.
0, 1/5, 2
Let c(p) be the first derivative of 2*p**3/57 + 202*p**2/19 + 20402*p/19 + 888. Suppose c(g) = 0. What is g?
-101
Factor -2/5*h**3 + 2/5*h - 78/5 + 78/5*h**2.
-2*(h - 39)*(h - 1)*(h + 1)/5
Let l(q) be the first derivative of 17/13*q**2 + 37 + 6/13*q - 5/26*q**4 + 6/13*q**3. Solve l(t) = 0 for t.
-1, -1/5, 3
Let l(c) be the second derivative of -c**5/120 - 3*c**4/8 - 50*c**3/9 - 25*c**2 + 3540*c + 2. What is j in l(j) = 0?
-15, -10, -2
Let a(d) be the first derivative of 0*d - 5/8*d**4 + 0*d**2 + 2/5*d**5 - 1/12*d**6 + 1/3*d**3 - 40. Find q, given that a(q) = 0.
0, 1, 2
Suppose -156/5*q + 59/5*q**2 - q**3 + 0 = 0. What is q?
0, 4, 39/5
Suppose -5*k + 64 = 4*d, 0 = d - 0*d - 1. Let r = -37324 + 37329. What is z in 12*z**2 + 4*z**3 + 3*z**5 + 9*z**r - 8*z - 8*z**5 - k*z**4 = 0?
-1, 0, 1, 2
Suppose 33*o + 65 = 38*o - p, -39 = -3*o - 3*p. Suppose -30*d = -o*d - 68. Let 19*z**2 + 1/2*z**5 + d + 14*z + 4*z**4 + 25/2*z**3 = 0. What is z?
-2, -1
Suppose -1365*d**3 + 6*d**5 - 1860*d**2 - 4390*d**2 - 3465*d**3 - 1600*d**4 - d**5 + 1410*d**2 - 1615*d = 0. Calculate d.
-1, 0, 323
Let w(r) = -r + 17. Let f be w(5). Let s be ((-60)/f)/((-2)/4). Factor -4*h + s*h**2 + 3 + 2*h**2 + h**2 - 12*h**2.
(h - 3)*(h - 1)
Suppose -12*f + 11 = -15*f + 5*a, -4*f - 2*a + 20 = 0. Let c(u) be the first derivative of 3 + 16/3*u**f + 0*u + 4*u**2 + 5/2*u**4 + 2/5*u**5. Factor c(y).
2*y*(y + 1)*(y + 2)**2
Let h be (-31)/(-15) + (-19740)/14100. Solve -6*s**2 - h*s**3 - 10*s - 14/3 = 0.
-7, -1
Let n(y) = 2346*y**3 + 11*y**2 - 5*y - 5. Let a(w) = -1173*w**3 - 4*w**2 + 2*w + 2. Let f(p) = -15*a(p) - 6*n(p). Factor f(c).
3*c**2*(1173*c - 2)
Let x(i) = i + 14. Suppose 27*m - 48 = 31*m. Let h be x(m). Factor z - 1 - z**3 - 3*z**h + 0*z - 4*z.
-(z + 1)**3
Suppose 0 = 3*q + q - 12. Suppose q*p + 2*k - 14 = -p, 4*k - 2 = 5*p. Factor -3 - u + 7*u + 14*u + 5*u**p + 18.
5*(u + 1)*(u + 3)
What is d in 62/5*d**3 - 2/5*d**4 - 62/5*d - 204/5 + 206/5*d**2 = 0?
-3, -1, 1, 34
Suppose -4/7*h**2 - 4456/7*h - 1240996/7 = 0. Calculate h.
-557
Let g(u) be the first derivative of -u**6/36 - 4*u**5/15 + u**4/2 + 11*u**3/9 - 43*u**2/12 + 3*u - 563. Find o, given that g(o) = 0.
-9, -2, 1
Factor 757/3*h**2 + 1/3*h**4 + 50/3*h**3 + 1100*h + 1452.
(h + 3)**2*(h + 22)**2/3
Let n(b) = 3269*b + 16349. Let p be n(-5). Solve 3/4*k**2 - k**3 + k + 1/4*k**p - 1 = 0 for k.
-1, 1, 2
Let n(r) be the first derivative of 118 - 3*r**3 - 5/4*r**4 - 1/5*r**5 - 2*r - 7/2*r**2. Factor n(x).
-(x + 1)**3*(x + 2)
Let w(d) be the third derivative of d*