 5362*o. Factor w(y).
(y - 12)*(y + 1)*(y + 2)/5
Let g(l) = l**2 - 4*l + 6. Let s be g(3). Suppose 2*b + 14 = 3*o, 8 = -4*o - b - s*b. Factor -7*t**3 - 4 - t**4 - 17*t + 4 + 17*t**o + 6 + 2*t**4.
(t - 3)*(t - 2)*(t - 1)**2
Let g(l) be the second derivative of -l**7/168 - l**6/10 - 33*l**5/80 + 35*l**4/24 + 31*l**3/2 + 45*l**2 + 1813*l. Suppose g(p) = 0. What is p?
-6, -5, -2, 3
Factor 116984780*d + 5378*d**5 - 13940*d**4 + 5576103*d**3 + 4098182*d**3 + 78064360 + 58380670*d**2 - 5373*d**5.
5*(d - 1397)**2*(d + 2)**3
Let v = 75 - 23. Suppose 4 = 7*h - v. Factor -4*n**3 + 2 + 16*n - h - 4*n**2 + 22.
-4*(n - 2)*(n + 1)*(n + 2)
Let k(z) be the third derivative of -z**6/36 - 13*z**5/24 - 185*z**4/72 + 35*z**3/12 - 4178*z**2. Suppose k(m) = 0. Calculate m.
-7, -3, 1/4
Let l be (3*4/(-30))/(6*(-48)/144). Determine i so that i**3 + l - 1/5*i - 2/5*i**4 - 3/5*i**2 = 0.
-1/2, 1
Let k be (-2 + (-622)/(-312))*(-268 + 266) + 0. Let r(h) be the second derivative of 2/39*h**3 + 41*h + 0 + k*h**4 + 0*h**2. What is w in r(w) = 0?
-2, 0
Let b be 92/391*34/4. Suppose -4*v = -p - 1, -2*p = v + b*p + 4. Factor v*g - 2/7*g**3 + 2/7*g**2 + 0.
-2*g**2*(g - 1)/7
Let i(l) be the first derivative of -l**4/6 + 46*l**3/9 - 64*l**2/3 - 152*l + 4973. Determine p so that i(p) = 0.
-2, 6, 19
Let a = -10510 - -10534. Factor 32/11*j**4 + 338/11*j**2 - 16*j**3 - a*j + 72/11.
2*(j - 2)**2*(4*j - 3)**2/11
Suppose 3*j = 5*x - x, j + 2*x = 10. Suppose 0 = v - 5*y + 10, 0*y = j*v - 4*y + 8. Let -2/11*c**2 + 0*c + 2/11*c**3 + v = 0. Calculate c.
0, 1
Let n be -25*(-155)/(263500/9792). Factor 0 - 2/5*t**4 - 74/5*t**3 - n*t**2 - 648/5*t.
-2*t*(t + 1)*(t + 18)**2/5
Let u(b) = -35*b**2 + 5*b + 6. Let y be u(-1). Let w = 39 + y. Let 6*i**5 + 5*i**5 - 7*i**w + 8*i**2 - 4*i - 8*i**4 = 0. What is i?
-1, 0, 1
Let m = 286347 + -3149811/11. Factor -20/11*z**2 - 12/11*z**4 - m*z - 2/11*z**5 - 24/11*z**3 + 0.
-2*z*(z + 1)**3*(z + 3)/11
Let k = 2/359 - -3217/2513. Let c(m) = 5*m**2 - 9*m - 167. Let g be c(-5). Factor -3/7*b**4 - k*b**g - 6/7*b**2 + 0 + 0*b.
-3*b**2*(b + 1)*(b + 2)/7
Let k(t) = t**3 - 15*t**2 - 15*t - 13. Let j(l) = l**2 + 9*l + 6. Let x be j(-10). Let m be k(x). Factor 3*p**2 - 5*p**3 - 7*p**2 - m*p**2 - 8*p**2.
-5*p**2*(p + 3)
Suppose -5*t = -12 - 13. Suppose -25 = -t*v - 15. Let 27*f - 3*f + 5 + 2 + 9*f**v + f**3 + 9 = 0. What is f?
-4, -1
Let c(x) be the third derivative of 2/5*x**5 - 3 + 3/4*x**4 + 0*x + 1/60*x**6 - 22/3*x**3 - 20*x**2. Let c(k) = 0. What is k?
-11, -2, 1
Let s(d) be the first derivative of -d**5/50 - 11*d**4/10 - 32*d**3/15 + 9*d - 191. Let t(i) be the first derivative of s(i). Let t(f) = 0. What is f?
-32, -1, 0
Let j(p) = -p**4 + p**3 - 5*p**2 - 1. Let w(m) = -11*m**4 + 29*m**3 - 16*m**2 - 8. Let l(q) = 8*j(q) - w(q). Find v, given that l(v) = 0.
-1, 0, 8
Let s(j) = -10*j**2 - 10*j + 50. Let i(a) = -a**2 + a. Let r = 186 + -181. Let u(k) = r*i(k) - s(k). Factor u(c).
5*(c - 2)*(c + 5)
Let t(j) = 9*j**4 + 228*j**3 + 252*j**2 - 523*j + 17. Let q(u) = -3*u**4 - 75*u**3 - 84*u**2 + 174*u - 6. Let h(r) = 17*q(r) + 6*t(r). Let h(x) = 0. What is x?
-30, -2, 0, 1
Factor -8/3 - 14/9*w - 2/9*w**2.
-2*(w + 3)*(w + 4)/9
Suppose 1681000 + 2/5*f**4 - 4108/5*f**3 + 2117658/5*f**2 - 1684280*f = 0. What is f?
2, 1025
Let k be (-52)/39 - (-3)/((-164124)/(-72968)). Let o = k - -9112/13677. Factor 62/3*v - 2000/3*v**4 - o - 220*v**2 + 2600/3*v**3.
-2*(v - 1)*(10*v - 1)**3/3
Determine i, given that -964*i - i**3 + 752*i + 28*i**2 + 29*i**2 = 0.
0, 4, 53
Let a(p) = -p**2 - p + 3. Let f(x) = -7*x**2 + 53*x - 134. Let c(v) = -v**2 + 19*v + 44. Let h be c(21). Let r(u) = h*a(u) - f(u). What is z in r(z) = 0?
4, 7
Let n = 9 + -6. Suppose -129*d + 130*d = n. Factor -6 + d*j**3 - 3*j + 9*j**2 + 11*j**4 - 5*j**4 - 9*j**4.
-3*(j - 2)*(j - 1)*(j + 1)**2
Suppose 2/7*o**4 + 79202/7*o**2 + 0*o + 796/7*o**3 + 0 = 0. What is o?
-199, 0
Let m be 71/3 + (-105)/(-7) + -32. Solve -m*n**2 - 1/3*n**3 - 39*n - 54 = 0 for n.
-9, -2
Let m be -14*(7315/245 - 30). Factor 5/7*k**m + 8/7*k + 4/7 + 1/7*k**3.
(k + 1)*(k + 2)**2/7
Let p = -235069 + 940717/4. Factor -p - 21/2*k - 1/4*k**2.
-(k + 21)**2/4
Let t(k) be the second derivative of k**5/4 - 65*k**3/6 - 30*k**2 + 55*k + 1. Let t(g) = 0. What is g?
-3, -1, 4
Let s = 19564 - 19562. Suppose -5*k - 7 + 17 = 0. Let 14*u**5 + 35*u**3 + 19*u**s - 19*u**5 + u**k + 10*u**4 = 0. What is u?
-1, 0, 4
Let r(l) = 40*l**4 - 230*l**3 + 400*l**2 + 175*l - 5. Let d(b) = -59*b**4 + 345*b**3 - 600*b**2 - 261*b + 7. Let p(c) = -5*d(c) - 7*r(c). Factor p(t).
5*t*(t - 4)**2*(3*t + 1)
Let p(f) = 10*f**2 - 1. Let n(r) = -r**3 - 38*r**2 + 23*r + 33. Let u(d) = -2*n(d) - 6*p(d). Factor u(x).
2*(x - 3)*(x + 1)*(x + 10)
Let z(x) = -3*x**2 - 428*x + 2217. Let d be z(5). Factor 2*w - 1/4*w**d - 7/4.
-(w - 7)*(w - 1)/4
Let z(g) be the second derivative of -5/6*g**4 + 3/4*g**5 + 1/6*g**6 - g + 17 - 20*g**2 - 10*g**3. Factor z(c).
5*(c - 2)*(c + 1)*(c + 2)**2
Determine p so that -177*p**4 + 11860*p**2 + 1040 - 3435*p + 11775*p - 22803*p**3 - 228*p**4 + 1968*p**3 = 0.
-52, -2/9, 1
Let g(t) be the second derivative of 0 - 1/6*t**4 + 0*t**3 + 83*t - 1/42*t**7 - 1/60*t**5 + 0*t**2 + 1/9*t**6. Determine b, given that g(b) = 0.
-2/3, 0, 1, 3
Suppose -6 = -z - z. Factor -15*b**z + 10*b + 1887*b**4 - 1892*b**4 + 2*b**2 + 5*b**5 + 3*b**2.
5*b*(b - 2)*(b - 1)*(b + 1)**2
Let p(s) = s**2 - 2. Let c(z) = -6*z**2 - 7*z + 17 - 6*z + 4*z + 15*z. Let a(o) = c(o) + 5*p(o). Factor a(l).
-(l - 7)*(l + 1)
Suppose -202 + 202 = -u. Let n(y) be the second derivative of u*y**5 + 1/3*y**2 - 1/9*y**4 + 8*y + 1/45*y**6 + 0*y**3 + 0. Solve n(c) = 0 for c.
-1, 1
Let a = -10924826/1953 - -50375/9. Let w = a - -7/93. Let 0 - w*v + 4/7*v**2 = 0. Calculate v.
0, 6
Let w(t) = 3396*t - 10187. Let g be w(3). What is d in g + 7/8*d - 1/8*d**2 = 0?
-1, 8
Let d(r) be the second derivative of -46*r + 0 - 1/5*r**5 + 2/3*r**3 + 1/12*r**4 - 1/2*r**2. What is y in d(y) = 0?
-1, 1/4, 1
Factor 1/10*d**2 - 7/10*d - 429/5.
(d - 33)*(d + 26)/10
Suppose 3*s - 744 = -690. Let u = 8 - 6. Factor 3*y**3 - 2*y**u - s*y + 19*y - 4*y**3 + 2.
-(y - 1)*(y + 1)*(y + 2)
Let u(l) be the second derivative of -l**4/12 + 11*l**3/6 + 6*l**2 + 8*l. Let v be u(11). Factor -q**2 + 27*q - 10*q - v*q.
-q*(q - 5)
Let l = -20150 - -20153. Let v = 447 - 41. What is n in -153 - 34*n**2 - 37*n + v*n - 9 + 5*n**l + 122*n**2 = 0?
-9, 2/5
Let i = 28603 + -28601. Find g such that 125/3 - 5/3*g**3 - 25*g - 15*g**i = 0.
-5, 1
Factor -492*y**3 - 14*y**4 + 2*y**4 - 466*y**3 - 4*y**5 + 998*y**3.
-4*y**3*(y - 2)*(y + 5)
Let d be (-40)/(-4750)*2315 - 2/(-19). Let k be (420/6)/(5/2). Solve 10 + k*i + d*i**2 = 0 for i.
-5/7
Suppose -11*m + 6*m = -5*t - 25, -3*m - 3*t + 3 = 0. Let b(z) = z**2 - 15*z - 47. Let c be b(19). Suppose m*l**2 - c*l**2 + 41*l - 37*l = 0. Calculate l.
0, 2/13
Let f(z) be the first derivative of 19*z**4 + 11*z**3 - 9*z**2 - 3*z**3 - 52 + 18*z**5 - 10*z**5 + z**6. Suppose f(g) = 0. What is g?
-3, -1, 0, 1/3
Let u(v) = 6*v**2 + 42*v + 128. Let i be u(-4). Suppose 9*b + 47 = i. Determine m so that b - 3/2*m + 1/2*m**3 + 0*m**2 = 0.
-2, 1
Let q(h) be the first derivative of h**4/10 + 12*h**3/5 - 324*h**2/5 + 432*h - 1501. Determine m, given that q(m) = 0.
-30, 6
Factor 0 - 2*v**3 + 1/2*v**5 - 1/2*v**4 + 2*v**2 + 0*v.
v**2*(v - 2)*(v - 1)*(v + 2)/2
Determine j so that 6770*j**2 + 202248/7 + 626/7*j**3 - 250266/7*j + 2/7*j**4 = 0.
-159, 1, 4
Let f = 14852019881151/14972 - 991986366. Let g = f + 3/788. Factor -16/19 + 24/19*a + 2/19*a**3 - g*a**2.
2*(a - 2)**3/19
Let q = -497 + 509. Factor -4*v**2 + 16*v + 19*v**2 + 0*v**2 - 11*v**2 + q.
4*(v + 1)*(v + 3)
Let j(v) be the second derivative of -v**7/3360 - v**6/360 - v**5/120 + 17*v**3/6 + 23*v. Let h(g) be the second derivative of j(g). Solve h(u) = 0.
-2, 0
Let i be ((-1)/(3/(-303)))/(2 - 1). Let m = i + -94. What is t in 182*t**2 - 176*t**2 - t**3 - m*t - 2*t = 0?
0, 3
Solve -38 - 42 - 36*n + 2*n**2 + 80 = 0 for n.
0, 18
Let 47589 - 48345 + 4*i**3 + 260*i**2 + 309*i + 183*i = 0. Calculate i.
-63, -3, 1
Factor 2/7*r**2 + 5611250/7 + 6700/7*r.
2*(r + 1675)**2/7
Let n(i) be the first derivative of 1/16*i**3 + 3 + 22*i - 1/24*i**4 + 1/160*i**5 + 0*i**2. Let a(c) be the first derivative of n(c). Solve a(j) 