 = v*u(z) - 2*s(z). Suppose q(d) = 0. What is d?
3
Determine w, given that 42*w**3 + 2/7*w**4 - 6/7*w**2 - 886/7*w - 84 = 0.
-147, -1, 2
Let l be (-15876)/(-120)*(-3552)/(-666). What is q in l + 2/5*q**2 - 168/5*q = 0?
42
Let c(b) be the second derivative of b**4/96 + 37*b**3/4 + 443*b**2/16 + 18*b - 95. Factor c(y).
(y + 1)*(y + 443)/8
What is g in 3750*g + 1020*g - 13*g**2 + 9*g**2 + 22*g - 1435204 = 0?
599
Suppose -41*b**2 - 36 - 4/3*b**5 - 156*b + 88/3*b**3 + 5*b**4 = 0. Calculate b.
-3, -2, -1/4, 3, 6
Let k(n) = -9*n**2 + 389*n - 84. Let x(z) = 45*z**2 - 1945*z + 419. Let w(h) = -11*k(h) - 2*x(h). What is v in w(v) = 0?
2/9, 43
Let k be (890/(-50))/(1764/135). Let u = -30/49 - k. What is r in -u + 1/2*r + 1/4*r**2 = 0?
-3, 1
Let i(b) = b**3 + 7*b**2 - 5*b - 33. Let k be i(-7). Factor -k*t**2 - 47*t - 38*t + 93*t.
-2*t*(t - 4)
Let a = -6751 + 6754. Let i(f) be the second derivative of 1/12*f**4 + 0 - 23*f - f**a + 9/2*f**2. What is z in i(z) = 0?
3
Let a(g) be the first derivative of g**5/40 + 7*g**4/16 + 25*g**3/24 + 3*g**2/4 + 91. Let a(z) = 0. What is z?
-12, -1, 0
Let d(r) be the third derivative of -r**4/24 - 6*r**3 - 20*r**2 - r. Let g be d(-38). Factor -3/7 - 6/7*v - 3/7*v**g.
-3*(v + 1)**2/7
Let b(o) = -2*o. Let m be 8/20*(-15)/6. Let z(l) = 5*l**2 + 67*l - 70. Let f(x) = m*z(x) - b(x). Factor f(s).
-5*(s - 1)*(s + 14)
Let w(u) be the second derivative of -u**8/1008 - 13*u**7/504 - u**6/18 + 41*u**3/2 + 94*u. Let m(t) be the second derivative of w(t). Factor m(j).
-5*j**2*(j + 1)*(j + 12)/3
Let x = 5 - 1. Suppose 3*k + 2*b - 12 = 0, x*k + 1 - 17 = -2*b. Factor 8*d**5 + 6*d**k + 4*d**4 + 2*d**4 + 13*d**3 - 9*d**3.
4*d**3*(d + 1)*(2*d + 1)
Let p(g) be the second derivative of 0*g**2 + 0 - 1/10*g**4 - 1/900*g**6 - 20*g - 1/2*g**3 + 7/300*g**5. Let z(m) be the second derivative of p(m). Factor z(w).
-2*(w - 6)*(w - 1)/5
Let q(m) be the second derivative of -11*m**5/4 + 2315*m**4/6 - 140*m**3 + 1831*m. Determine r, given that q(r) = 0.
0, 2/11, 84
Let n(o) be the first derivative of -85 - 11/6*o**3 + 0*o + 1/4*o**2. Factor n(f).
-f*(11*f - 1)/2
Let l(o) be the first derivative of -o**6/14 - 3*o**5/5 - 33*o**4/28 - 5*o**3/7 - 1502. Solve l(v) = 0.
-5, -1, 0
Find p, given that 0 + 27/2*p**3 - 27/2*p**2 - 3*p**4 + 0*p = 0.
0, 3/2, 3
Let i be (-8610)/(-2091) + 4/(-34). Let m(x) be the first derivative of 1/3*x**3 + 1/4*x**i - x**2 + 0*x + 7. Factor m(r).
r*(r - 1)*(r + 2)
Factor 0 + 10/17*f**2 - 12/17*f - 2/17*f**3.
-2*f*(f - 3)*(f - 2)/17
Factor 0 + 0*s**2 + 0*s + s**3 - s**4 - 3/4*s**5.
-s**3*(s + 2)*(3*s - 2)/4
Let r be (9/(-21))/((-75)/800). Find p such that r - 30/7*p - 2/7*p**2 = 0.
-16, 1
Let v(f) = -3*f**3 - 126*f**2 - 267*f - 3. Let z(q) = 5*q**3 + 127*q**2 + 270*q + 4. Let a(r) = 4*v(r) + 3*z(r). Let a(b) = 0. What is b?
-2, 0, 43
Let l = 909 - 3612. Let b be (1 - 6) + l/(-530). Suppose -1/10*s**3 - b + 1/10*s**2 + 1/10*s = 0. Calculate s.
-1, 1
Suppose 6*j + 29*j = -17*j + 208. What is s in -j + 4/3*s**2 - 8/3*s = 0?
-1, 3
Let k(c) be the first derivative of 2*c**5/85 - 53*c**4/34 - 76*c**3/17 + 212*c**2/17 + 880*c/17 + 970. Suppose k(w) = 0. What is w?
-2, 2, 55
Suppose 6*a = 61 - 43. Let p be a/2 + (-395)/316. Factor -9/4 + 3/2*s - p*s**2.
-(s - 3)**2/4
Let v(j) = 25*j**2 + 10*j + 80. Let b(l) be the third derivative of -l**5/60 + l**4/24 - l**3/3 + 2*l**2 - 24*l. Let q(t) = 20*b(t) + v(t). Factor q(k).
5*(k + 2)*(k + 4)
Let h be (-306)/(-36) + -8 + 5/2. Let q(c) be the second derivative of -7/6*c**3 + 24*c + h*c**2 + 1/6*c**4 + 0. Factor q(y).
(y - 2)*(2*y - 3)
Suppose 22 = 2*y - 6. Let n = y - 0. Let 3*s**2 + 1 - 8*s**3 + 11*s**2 + 8*s - n*s**4 - 1 = 0. Calculate s.
-1, -4/7, 0, 1
Let l(s) be the first derivative of 5*s**4/4 - 5975*s**3 + 21420375*s**2/2 - 8532449375*s - 3973. Let l(z) = 0. Calculate z.
1195
Let a(p) be the first derivative of -p**6/120 - p**5/5 - 4*p**4/3 + 7*p + 131. Let v(m) be the first derivative of a(m). Determine c so that v(c) = 0.
-8, 0
Factor 278*s - 904 + s**2 + 0*s**2 + 229 - 56*s.
(s - 3)*(s + 225)
Let n(v) be the second derivative of v**6/6 + 273*v**5/4 - 1375*v**4/12 - 455*v**3/2 + 685*v**2 - 2896*v + 2. Factor n(f).
5*(f - 1)**2*(f + 1)*(f + 274)
Let q(a) be the second derivative of -259*a - 18*a**3 - 3/2*a**4 + 0 + 0*a**2 - 3/80*a**5. Determine y so that q(y) = 0.
-12, 0
Let p(l) be the second derivative of 12*l**2 - 2/3*l**3 + 145*l - 56/3*l**4 - 49/5*l**5 + 0. What is r in p(r) = 0?
-1, -3/7, 2/7
Let g(p) be the first derivative of -3*p**4 + 640*p**3/3 - 418*p**2 + 208*p - 4270. Let g(n) = 0. What is n?
1/3, 1, 52
Suppose -14*h = -9*h - 140. Suppose 0 = h*k - k + 8*k. Suppose -15/7*w**3 + k - 3/7*w**4 + 0*w**2 + 0*w = 0. Calculate w.
-5, 0
Let q(d) be the first derivative of d**6/20 - 9*d**5/20 - 44*d + 115. Let u(h) be the first derivative of q(h). Find k, given that u(k) = 0.
0, 6
Let z be (-311300)/(-56034) + 182/(-36). Determine k so that -25*k - 49/2 - z*k**2 = 0.
-49, -1
Let b be ((-24)/10)/(-2) + 4/5. Suppose 0*s**2 + s**3 - 36 + 33*s - 9*s**b - s**2 = 0. What is s?
3, 4
Solve -1406 - 1413 + 215*q + 85*q**3 - 1423 - 225*q**2 + 4172 - 5*q**4 = 0.
1, 14
Let m = -534478 - -534480. Factor 0 - 1/5*c**3 + 11/5*c - 2*c**m.
-c*(c - 1)*(c + 11)/5
Let a be ((-10)/4)/((-13)/(-26)). Let x be (a - 0) + 1273/201. Solve -2/3*n**4 + x + 2/3*n**3 - 10/3*n + 2*n**2 = 0.
-2, 1
Let n(k) be the third derivative of -k**5/60 + k**4/2 - 16*k**3/3 + 12*k**2 - 10. Factor n(m).
-(m - 8)*(m - 4)
Suppose 22357*w - 20 = 22352*w. Factor 5/7*j**3 - 2/7*j**2 + 0*j + 0 - 3/7*j**w.
-j**2*(j - 1)*(3*j - 2)/7
Suppose -98*p + 79 = 65*p - 410. Let m(s) be the first derivative of 2/3*s**2 + 7 - 14/9*s**p + 0*s - 3/2*s**4. Factor m(v).
-2*v*(v + 1)*(9*v - 2)/3
Find f, given that 0 + 2/13*f**2 - 12/13*f + 2/13*f**3 = 0.
-3, 0, 2
Solve -2/11*r**5 + 160/11*r**2 - 512/11 + 128/11*r - 16/11*r**4 - 8/11*r**3 = 0 for r.
-4, 2
Let d be (-3)/2 - (-55)/(-22). Let x be 3604/1749 - d/(-66). Let 2/17*h**x + 2/17 + 4/17*h = 0. Calculate h.
-1
Let h(c) = -49*c**2 + 258*c - 32. Let n(k) = 7*k**2 - k + 2. Let q(w) = h(w) + 4*n(w). Let q(u) = 0. Calculate u.
2/21, 12
Let h be (-51680)/3705 + 16 + -2. Let w(i) be the first derivative of 1/26*i**4 - 15 - 1/13*i**2 - 2/65*i**5 + 0*i + h*i**3. Factor w(u).
-2*u*(u - 1)**2*(u + 1)/13
Let g(b) be the second derivative of b**6/180 - 2*b**5/15 - 97*b**4/72 - 41*b**3/9 - 7*b**2 - 159*b + 3. Determine p so that g(p) = 0.
-2, -1, 21
Let g = 36034 + -36032. Factor 6/11*r**4 + 0 - 2/11*r**5 + 0*r + 2/11*r**g - 6/11*r**3.
-2*r**2*(r - 1)**3/11
Let q = 6365/441 + -680/49. Let d(l) be the second derivative of 35*l - 16/9*l**3 - q*l**5 + 0 + 8/9*l**2 + 5/3*l**4. Factor d(v).
-4*(v - 1)*(5*v - 2)**2/9
What is c in -25/3*c - 1/3*c**2 - 48 = 0?
-16, -9
Solve -24*s + 597*s**2 - 32*s - 284*s**2 + 2*s**4 - 281*s**2 + 26*s**3 - 4*s**4 = 0.
-2, 0, 1, 14
Suppose 4*h = t + 5, 0 = 3*t + 5*h - 14 - 56. Let x be -8 - -33*5/t. Let 0*k**2 - 1/3*k + 0 + 1/3*k**x = 0. What is k?
-1, 0, 1
Let -24336 + 104*k - 1/9*k**2 = 0. What is k?
468
Let t = 8 - 5. Let i be 7*2/(-2) + (-1476)/(-123). Find u such that 5*u + 19/2*u**4 - 27/2*u**2 + 4 - 31/2*u**t + 21/2*u**i = 0.
-1, -4/7, 2/3, 1
Let p = 49/6 - 625/78. Let q(k) = 1370*k - 31508. Let r be q(23). Factor 8/13 + 50/13*h**r + 14/13*h**4 + 32/13*h + p*h**5 + 38/13*h**3.
2*(h + 1)**3*(h + 2)**2/13
Factor 177278 + 200*i**2 - 3550*i - 205*i**2 - 807403.
-5*(i + 355)**2
Let n(i) be the second derivative of i**6/40 - i**5/20 - 3*i**4/4 - 19*i**2 - 21*i - 3. Let m(y) be the first derivative of n(y). Factor m(w).
3*w*(w - 3)*(w + 2)
Let y be (-2 + 0)/(4/68)*-1. Find j such that -4*j**2 + 15*j - 11*j + 100 - y*j - 66*j = 0.
-25, 1
Suppose 2/17*z**2 + 116/17*z - 630/17 = 0. Calculate z.
-63, 5
Let t = 89 - 40. Let y = t + -45. Find m such that -162*m**y + 17*m**3 + 288*m - 89*m**3 + 4 + 640*m**2 + 28 = 0.
-2, -2/9, 2
Suppose -2*i - 2*r + 6 = 0, i - 3*r = -0*i - 1. Let v be (-45)/(-6) - (i - -1). Factor -3/4*f**2 - v*f - 27/4.
-3*(f + 3)**2/4
Suppose 423 - 3 = 10*b. Determine s so that 2*s - 18 - 4*s - 2*s**2 + b = 0.
-4, 3
Suppose -n - 4*q = -0 + 8, -46 = 4*n + 2*q. Let w be (79 + 1)/(n*(-70)/300). Factor w - 760/7*j + 152/7*j**3 + 642/7*j**2 + 8/7*j**4.
2*(j + 10)**2*(2*j - 1)**2/7
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