7 = d + 8. Suppose d*k = -r + 106, -167 + 19 = -4*k + 2*r. Find m, given that 39*m + k*m - m**2 - 2 - 78*m = 0.
-2, -1
Let v = 15418/24345 - 6/541. Let u = -2/9 + v. Factor 2/5 + 2/5*l**4 - 4/5*l**3 + u*l**5 + 2/5*l - 4/5*l**2.
2*(l - 1)**2*(l + 1)**3/5
Let m be (-8)/18 - (1648405/1548)/(-205). Determine j, given that 1 - m*j**3 - 1/4*j**5 + 25/4*j**2 + 7/4*j**4 - 4*j = 0.
1, 2
Let x(f) = 228*f**2 + 324*f - 792. Let j(b) = -7*b**2 + b + 2. Let y(w) = -32*j(w) - x(w). Factor y(h).
-4*(h - 2)*(h + 91)
Suppose -429*a**3 + 278780*a**2 + 979*a**3 - 553352*a + a**4 - 1604*a**3 = 0. What is a?
0, 2, 526
Solve 3*h + 9 - 6 - h**3 - 18 + 303*h**2 - 288*h**2 - 2*h**3 = 0.
-1, 1, 5
Let x = -262600/7 - -525235/14. Factor x + 9/2*y + 3/2*y**2 - 1/2*y**3.
-(y - 5)*(y + 1)**2/2
Let j be ((-6)/(-4)*(-57)/342*4)/((-2)/4). Determine t, given that 12/5*t + 0 - 2/5*t**3 + 2/5*t**j = 0.
-2, 0, 3
Let y(a) be the third derivative of -a**6/840 - 11*a**5/420 + 25*a**4/168 - 13*a**3/42 + 35*a**2 + 1. Solve y(l) = 0.
-13, 1
Let a = 10089 - 10084. Let k(d) be the second derivative of 1/27*d**3 + 8*d + 0*d**2 + 0*d**6 - 1/45*d**a + 0 + 0*d**4 + 1/189*d**7. Factor k(x).
2*x*(x - 1)**2*(x + 1)**2/9
Suppose 2451*u = 2483*u - 96. Let m(i) be the second derivative of 16*i - 2*i**2 - 8/3*i**u - i**4 + 0. Factor m(n).
-4*(n + 1)*(3*n + 1)
Let y(t) be the third derivative of t**5/105 + 233*t**4/42 - 156*t**3/7 + 137*t**2. Suppose y(v) = 0. Calculate v.
-234, 1
Let o(r) be the second derivative of -r**5/20 - 2*r**4/3 + 64*r**3/3 + 186*r - 5. Find y, given that o(y) = 0.
-16, 0, 8
Let i be 1 + 1 + -4 + 15. Suppose -i = b - 20. Determine s so that -b*s**2 + 4*s - 6 + 6*s + s**3 + 5*s - 3 = 0.
1, 3
What is q in 102/13*q**2 + 56/13 - 2*q**3 - 134/13*q + 2/13*q**4 = 0?
1, 4, 7
Suppose -159/5*u**4 + 0 + 479/5*u**3 + 0*u - 6/5*u**2 = 0. What is u?
0, 2/159, 3
Let i(k) be the first derivative of 0*k**2 - 1/48*k**6 + 1/10*k**5 + 0*k - 5/32*k**4 + 1/12*k**3 - 98. Factor i(v).
-v**2*(v - 2)*(v - 1)**2/8
Let h be 0 + -1 - -2 - (23 - 33). Determine l, given that -84 - 54*l - 18*l + h*l + 13*l - 5*l**2 + 2*l**2 = 0.
-14, -2
Let -2159*o**4 + 4205*o**4 + 228 + 574*o + 122*o**3 - 2044*o**4 + 466*o**2 = 0. What is o?
-57, -2, -1
Let m(o) be the second derivative of o**7/21 + 2*o**6/3 - 53*o**5/10 + 7*o**4 + o - 1493. Suppose m(s) = 0. What is s?
-14, 0, 1, 3
Let s(n) be the second derivative of 2/3*n**3 + 0 - 60*n + 0*n**2 + 1/3*n**4. Determine a, given that s(a) = 0.
-1, 0
Let h(k) be the third derivative of 0*k + 9/4*k**4 - 1/2*k**5 + 81*k**3 - 224*k**2 + 0 + 1/60*k**6. Factor h(r).
2*(r - 9)**2*(r + 3)
Let t(v) = 35*v**3 - 1562*v**2 + 14719*v + 734. Let s(w) = -36*w**3 + 1561*w**2 - 14720*w - 732. Let q(r) = -6*s(r) - 5*t(r). Let q(k) = 0. Calculate k.
-2/41, 19
Let z be (-145)/(-58)*4/5. Factor -27 - 21 + 3*l**z + 59 - 47 - 3*l.
3*(l - 4)*(l + 3)
Let a(l) be the second derivative of 0*l**3 + 38 - 1/6*l**6 - 1/4*l**5 + 0*l**4 + 0*l**2 + 2*l. What is s in a(s) = 0?
-1, 0
Let v(i) = -i**3 - 16*i**2 - 8*i + 73. Let k be v(-15). Let d(y) = -52*y**2 - 376*y. Let c(h) = -8*h**2 - 58*h. Let z(l) = k*c(l) + 5*d(l). Solve z(w) = 0.
-6, 0
Suppose 35*l - 38*l = -t - 11, l - 4*t - 11 = 0. Find b, given that -8/9*b**2 + 0 - 2/9*b**l - 8/9*b = 0.
-2, 0
Let k be (-20)/(-50) + (-35)/100. Let s = 11/20 - k. Suppose 0 + s*o**3 + 0*o**2 + 1/2*o**4 + 0*o = 0. What is o?
-1, 0
Let r(f) = -13 + 86 + 31*f - 32*f + 271 - 56*f. Let y be r(6). Factor 0 + 5/4*s + s**y - 1/4*s**3.
-s*(s - 5)*(s + 1)/4
Let b(d) be the second derivative of -d**7/56 - d**6/15 + 7*d**5/16 - d**4/12 - 5*d**3/6 - 4*d - 38. Solve b(y) = 0.
-5, -2/3, 0, 1, 2
Suppose 0 = -196*h + 244*h - 144. Let d(r) = -2*r**2 + 6*r - 2 + 1 - 5*r**2 + 2*r**3. Let z(a) = a - 1. Let b(m) = h*d(m) - 12*z(m). Let b(w) = 0. What is w?
-1/2, 1, 3
Let j(z) be the first derivative of -z**4/4 + 13*z**3 - 507*z**2/2 + 6*z + 176. Let v(m) be the first derivative of j(m). Determine h, given that v(h) = 0.
13
Let j be -2*1 - -4*1. Let s be (-12)/10 + (176/(-10) - -18)/((-46)/(-161)). Factor 11/5 - j*x - s*x**2.
-(x - 1)*(x + 11)/5
Let l(r) = -r**4 + r**2 - 1. Let b(p) = -3*p**4 + 9*p**3 - 3*p**2 - 33*p - 24. Let i = -160 + 161. Let k(j) = i*b(j) - 6*l(j). Find x, given that k(x) = 0.
-3, -1, 2
Let b(a) be the first derivative of 4*a**3/9 - 22*a**2/3 + 40*a/3 + 1630. Factor b(u).
4*(u - 10)*(u - 1)/3
Let i(s) be the first derivative of -20*s - 25/2*s**2 - 64 - 5/3*s**3. Find b such that i(b) = 0.
-4, -1
Suppose 44*q - 43*q - 2 = 0. Suppose 4*w = -w - q*o + 30, 4*w = o + 11. Factor -5/7*n**3 + 1/7*n**w + 0 + 4/7*n**2 + 0*n.
n**2*(n - 4)*(n - 1)/7
Let p(m) be the first derivative of -40*m - 2/3*m**2 - 1/36*m**4 + 33 + 5/18*m**3. Let y(r) be the first derivative of p(r). Factor y(j).
-(j - 4)*(j - 1)/3
Let d = 10 - -34. Let t = -16 + d. Factor -t*m**4 + 3*m**3 + 44*m**4 - 21*m**4 + 2*m**3.
-5*m**3*(m - 1)
Let t = 86345 + -86343. Factor 2*x + 13/2*x**3 - 6*x**t + 0 - 3*x**4 + 1/2*x**5.
x*(x - 2)**2*(x - 1)**2/2
Let s(k) be the third derivative of -k**5/20 - 5*k**4/4 + 39*k**3/2 - 4788*k**2. Suppose s(f) = 0. Calculate f.
-13, 3
Let r(d) be the third derivative of 0 + 1/150*d**5 + 0*d**3 + 0*d + 26*d**2 + 17/30*d**4. Factor r(n).
2*n*(n + 34)/5
Let z = 930085/1240124 - -2/310031. Factor 9/2*a - 3/4*a**2 + 0 - z*a**3.
-3*a*(a - 2)*(a + 3)/4
Let d(r) be the third derivative of -2*r**7/105 + r**6/3 + 37*r**5/5 - 124*r**4/3 + 256*r**3/3 + 229*r**2 - 3. Factor d(h).
-4*(h - 16)*(h - 1)**2*(h + 8)
Let a = -15731/21 - -2249/3. Let d(h) be the first derivative of -1/14*h**4 + 0*h + 8/21*h**3 + a*h**2 - 14 - 2/35*h**5. Solve d(z) = 0 for z.
-2, -1, 0, 2
Suppose 0 = 5*l + 2*s, -5*s - 6 = 4*l + 11. Factor 64*q**2 - 32 + 61*q**2 - 179*q**l + 58*q**2 - 28*q.
4*(q - 8)*(q + 1)
Let k(v) be the first derivative of 2*v**3/9 - 800*v**2/3 + 320000*v/3 + 87. Find y such that k(y) = 0.
400
Suppose 788*z + 28 = 795*z. Let n be 378/210 + (z/(-5))/(-4). Let -24/5*f - 6/5*f**n - 24/5 = 0. Calculate f.
-2
Let t be 0/17 + 570/1. Let x be (1 + -10)*(t/(-9))/19. Suppose x*j + 6*j**2 + 2/5*j**3 + 50 = 0. Calculate j.
-5
Let q(z) be the first derivative of -z**4/6 + 8*z**3/9 + 29*z**2/3 + 16*z + 1068. Factor q(l).
-2*(l - 8)*(l + 1)*(l + 3)/3
Let d(z) be the third derivative of -z**6/90 + 14*z**5/15 - 98*z**4/3 - 23*z**3/2 - z**2 + 11*z. Let n(x) be the first derivative of d(x). Factor n(o).
-4*(o - 14)**2
Let x be (-6)/8*(-10 - (-88)/9). Let q(m) be the first derivative of 3*m**2 - x*m**3 - 18*m + 11. Factor q(u).
-(u - 6)**2/2
Let f be -5*44/935*-4. Let s = f - 63/85. Suppose -8/5*j - 4/5 - s*j**3 - j**2 = 0. What is j?
-2, -1
Suppose 228*b = 474*b - 216*b - 90. Let w(j) be the first derivative of -80*j**2 + 4/5*j**5 + 64*j + 44*j**b + 13 - 10*j**4. Factor w(c).
4*(c - 4)**2*(c - 1)**2
Let d be 6/(-4) - (-11)/2. Suppose -23*o + 25*o = d. Factor -o*p**3 - 24/5*p**2 + 12/5 + 22/5*p.
-2*(p - 1)*(p + 3)*(5*p + 2)/5
Let q be -7 - 41/((-3075)/1400). Factor 10 + q*j + 5/3*j**2.
5*(j + 1)*(j + 6)/3
Let u = 52482 - 52480. Factor 16/15*g - 2/15*g**4 + 4/5*g**u + 2/5 + 0*g**3.
-2*(g - 3)*(g + 1)**3/15
Let k(l) = -22*l + 380. Let h be k(17). Let r(c) be the third derivative of 0 + 0*c - 5/3*c**4 - 10/3*c**3 - 1/24*c**h + 8*c**2 - 5/12*c**5. Factor r(b).
-5*(b + 1)*(b + 2)**2
Let d(u) be the first derivative of -u**6/540 - 7*u**5/180 + 2*u**4/9 + u**3/3 + 32*u**2 + 150. Let l(p) be the third derivative of d(p). Factor l(j).
-2*(j - 1)*(j + 8)/3
Determine l, given that 668/3*l - 1616/3*l**2 + 845/3*l**3 + 211/3*l**4 - 28/3*l**5 - 80/3 = 0.
-4, 1/4, 2/7, 1, 10
Factor 25/4*r**2 - 25/2*r - 1/4*r**4 + 0 + 1/2*r**3.
-r*(r - 5)*(r - 2)*(r + 5)/4
Factor -8*u - 88/3 - 1/6*u**2.
-(u + 4)*(u + 44)/6
Let m(b) = -b**3 - b**2 + b - 1. Let l(u) = 7*u**3 - 33*u**2 - 7*u + 37. Suppose -4*q + 14 = 2*r, -5*q + q - 6 = -2*r. Let s(c) = q*l(c) + 2*m(c). Factor s(p).
5*(p - 7)*(p - 1)*(p + 1)
Factor 0 - 54*o + 1/2*o**4 - 16*o**3 + 139/2*o**2.
o*(o - 27)*(o - 4)*(o - 1)/2
Let p be (-6)/14 - 600/4480*116/(-10). Solve -27/8 - 1/8*o**3 + p*o + 3/8*o**2 = 0.
-3, 3
Let n(t) be the second derivative of -t**5/20 + 5*t**4/2 - 18*t**3 - 972*t**2 + 40*t + 3. Factor n(r).
-(r - 18)**2*(r + 6)
Suppose -56 = 4*u, 5*z - 2*u = -1141 - 1152 + 2321. Factor 12