182 = -2*b. Let g = 30 - b. Factor g + 2*m**3 - 2 + 31*m - 33*m - 2*m**2 + 0*m**2.
2*(m - 1)**2*(m + 1)
Let r(n) be the third derivative of n**8/3192 + 2*n**7/665 + 3*n**6/380 - 2*n**5/285 - n**4/19 + 2*n**2 - 234*n. Solve r(f) = 0 for f.
-3, -2, 0, 1
Let c(u) be the third derivative of u**6/1020 + 104*u**5/255 + 11021*u**4/204 + 21218*u**3/51 + 14*u**2 + 3*u. Determine i, given that c(i) = 0.
-103, -2
Let b(l) = -l**3 + 6*l + 9. Let h be b(3). Let y(u) be the first derivative of -6 + 0*u**4 - 1/3*u**3 + h*u + 0*u**2 + 1/20*u**5. Find g such that y(g) = 0.
-2, 0, 2
Let z be 1/((10/(-7))/((-8)/(-504)*-9)). Let t(f) be the first derivative of -1/5*f**2 + 2/15*f**3 - 2/5*f - 1 + z*f**4. Determine d so that t(d) = 0.
-1, 1
Let n(x) be the third derivative of -x**6/1200 - 3*x**5/100 + 13*x**4/80 - x**3/3 - 4*x**2 + x + 7. Factor n(d).
-(d - 1)**2*(d + 20)/10
Let k be -7*14/(-49)*((-4)/8 + 3). Factor -k*y**2 - 1/3*y**4 + 0 - 3*y - 7/3*y**3.
-y*(y + 1)*(y + 3)**2/3
Suppose 2*y - y = 0, -2*a - 376 = 5*y. Let k = 192 + a. Determine r, given that 7/2*r - k + 1/2*r**2 = 0.
-8, 1
Let k be -3*(-1312)/(-120)*(-140)/(-392) - -14. Find j, given that -60/7*j**2 - 10/7*j**4 - 8/7*j - 46/7*j**3 + k = 0.
-2, -1, 2/5
Factor 3781*s**3 - 3779*s**3 + 1162*s**2 + 104*s**2.
2*s**2*(s + 633)
Let u be 8*(35/(-10) + 3 - -1). Let g be (0 - u - -2) + -1 + 6. Let -16/7*i**2 - 36/7 + 2/7*i**g + 6*i = 0. What is i?
2, 3
Let k = -321550 - -1286211/4. Find v, given that k*v**3 + 6*v**2 + 1/4*v**4 + 0*v + 0 = 0.
-8, -3, 0
Let s(y) = y**4 - 8*y**3 + 19*y**2 - 3*y - 3. Let n = 201 - 202. Let j(a) = -a**2 + a + 1. Let c(w) = n*s(w) - 3*j(w). What is b in c(b) = 0?
0, 4
Let r(d) = 108*d**3 - 53*d**2 + 10*d. Let f(l) = -18*l**3 + 9*l**2 - l. Let g(x) = -39*f(x) - 6*r(x). Factor g(s).
3*s*(s - 1)*(18*s + 7)
Let y be (-3855)/(-1028) - 15/20. Factor 3 - 3/2*x**y + 13/2*x + 2*x**2.
-(x - 3)*(x + 1)*(3*x + 2)/2
Let t(x) = 2*x. Let j(w) = w**3 - 33*w**2 + 357*w - 1331. Suppose 0 = 15*m - 11*m - 60. Let c(z) = m*t(z) + 5*j(z). Let c(r) = 0. What is r?
11
Factor -5*h**4 + 50*h + 10*h**4 - 30*h**3 + 28374*h**2 - 28359*h**2.
5*h*(h - 5)*(h - 2)*(h + 1)
Let i(h) = -h**2 + 11*h + 111. Let y be i(-21). Let w = y + 565. Solve -46/11*k**2 - 26/11*k - 4/11 + 10/11*k**w - 2*k**3 + 8/11*k**5 = 0.
-1, -1/4, 2
Suppose 4*c + 3*l = 4*l + 44, -4*c + 4*l + 56 = 0. Let d(o) be the first derivative of 4/3*o**3 + 13 + 24*o + c*o**2. Factor d(g).
4*(g + 2)*(g + 3)
Let d(f) = -1. Let v(b) = -2*b**2 + 8*b - 4. Let c be -5 + (4*-3)/2. Let x = c - -9. Let l(o) = x*d(o) - v(o). What is j in l(j) = 0?
1, 3
Suppose -2*s = 4*b - 128, -3*s = -3*b + 14 + 73. Find q such that 7*q - 94 - 5*q**2 - 122*q - 154 - b + 69 = 0.
-21, -2
Suppose -220/7*d**3 + 2/7*d**4 + 27040/7 + 6666/7*d**2 - 4784*d = 0. What is d?
1, 5, 52
Let x(o) be the second derivative of 7*o**5/8 - 75*o**4/8 + 185*o**3/6 - 30*o**2 - 21*o + 3. Factor x(r).
5*(r - 4)*(r - 2)*(7*r - 3)/2
Let z(s) = s**2 - 85*s + 347. Let g be z(5). Let k be 68/(-12) - 477/g. Solve 65/3 + k*n**2 + 45*n = 0.
-13, -1/2
Let m(r) = 25*r**3 - 1275*r**2 - 6850*r + 8065. Let b(q) = -3*q**3 + 142*q**2 + 761*q - 896. Let t(u) = 35*b(u) + 4*m(u). Suppose t(v) = 0. What is v?
-15, -12, 1
Let o(v) = 49*v**2 + 117*v - 693. Let k(x) = 23*x**2 + 59*x - 346. Let i(l) = -13*k(l) + 6*o(l). Factor i(j).
-5*(j - 4)*(j + 17)
Let 0*g + 4/3*g**3 + 0 - 8*g**2 = 0. Calculate g.
0, 6
Let x(r) be the third derivative of 0*r + 0*r**4 + 2/735*r**7 + 0*r**3 + 1/105*r**6 + 0*r**5 + 127*r**2 + 0. Factor x(m).
4*m**3*(m + 2)/7
Let z(i) = 6*i**3 - 245*i**2 + 602*i - 303. Let l(v) = -v**3 - 11*v**2 - v + 1. Let b(d) = -5*l(d) - z(d). Let b(s) = 0. What is s?
1, 298
Let d be 5256/(-3066)*49/(-126). Determine g, given that 1 - 1/3*g**2 - d*g = 0.
-3, 1
Suppose 4*w - 158 = 7*w - c, 5*c - 25 = 0. Let g = 54 + w. Factor 0*x**2 + 0*x**2 + 3*x + 3*x - 3*x**2 - g.
-3*(x - 1)**2
Let y = 267 + -254. Let 4*i**2 - 9*i**2 - 6*i**2 + 18*i + y*i**2 = 0. What is i?
-9, 0
Let s(d) be the second derivative of -2*d**6/75 - 46*d**5/25 - 224*d**4/5 - 2112*d**3/5 - 680*d + 3. Find n such that s(n) = 0.
-22, -12, 0
Let g(z) be the third derivative of -z**6/480 + z**5/20 - 7*z**4/32 + 5*z**3/12 - 376*z**2 - 2*z. Factor g(m).
-(m - 10)*(m - 1)**2/4
Suppose -2*c = -9 + 5. Let -h**2 - h**2 - 5*h**c + 3*h**2 - 9*h + 7*h**2 = 0. Calculate h.
0, 3
Let h(o) be the third derivative of 0*o**3 + 1/735*o**7 + o - 5/42*o**4 + 1/70*o**6 - 36*o**2 + 1/70*o**5 + 0. Factor h(j).
2*j*(j - 1)*(j + 2)*(j + 5)/7
Let i(x) = -4*x**2 + 1. Let q(v) = -4*v**3 - 116*v**2 + 520*v - 724. Let c(u) = -12*i(u) + q(u). Factor c(b).
-4*(b - 4)*(b - 2)*(b + 23)
Let n(q) be the first derivative of 9/10*q**2 + 1/5*q**3 - 21/20*q**4 + 0*q - 272 + 2/5*q**6 - 3/25*q**5. Solve n(g) = 0 for g.
-1, -3/4, 0, 1
Let o be (-18)/114 + 756/456. Find x, given that 0 + o*x**4 + 0*x - 3*x**3 + 3/2*x**2 = 0.
0, 1
Let k(q) = 16*q + 44. Let b(r) = -34*r - 86. Let l(v) = 6*b(v) + 13*k(v). Let o be l(-13). Factor -70/3*h**3 + 0 - 2/3*h**5 - 50/3*h**2 - 22/3*h**o + 0*h.
-2*h**2*(h + 1)*(h + 5)**2/3
Let v(i) be the third derivative of -i**5/120 - 5*i**4/6 + 41*i**3/12 - 242*i**2. Factor v(r).
-(r - 1)*(r + 41)/2
Let h(j) be the second derivative of j**6/225 - 29*j**5/150 + 134*j**4/45 - 272*j**3/15 + 192*j**2/5 - 2432*j. Suppose h(b) = 0. What is b?
1, 4, 12
Factor 0*g**2 + 0 + 2/5*g**3 - 32/5*g.
2*g*(g - 4)*(g + 4)/5
Suppose -9 + 1 = -2*q. Suppose u - 12 = q*u, -2*u = 3*z - 7. Factor -2*v**5 - v**5 + 3*v**4 + 4*v + 5*v**4 - v**z - 8*v**2.
-4*v*(v - 1)**3*(v + 1)
Factor -1177/3*r + 11449/6 + 121/6*r**2.
(11*r - 107)**2/6
Let l(p) = -12*p**3 + 4*p**2 + 2*p - 22. Let f = -71 - -211. Suppose 4*y = -y + f. Let a(o) = -o**3 + o**2 - o - 1. Let q(j) = y*a(j) - 2*l(j). Solve q(r) = 0.
1, 2
Factor 0 + 160/7*t**4 - 500/7*t**3 - 25000/7*t**2 + 0*t - 4/7*t**5.
-4*t**2*(t - 25)**2*(t + 10)/7
Let g(p) be the first derivative of 26 - 7938/5*p - 2/15*p**3 + 126/5*p**2. Factor g(s).
-2*(s - 63)**2/5
Let g(u) be the third derivative of u**6/160 + 321*u**5/40 + 34347*u**4/8 + 1225043*u**3 + 159*u**2 + 2. Solve g(q) = 0.
-214
Let p be (-18)/(-12)*8/6. Suppose -2*f + 9 = 3*n, 16 = 5*f + 4*n + 4. Factor 5*s**2 - 148*s**4 + 12*s**3 + 5*s**p + 150*s**4 + f*s**2.
2*s**2*(s + 1)*(s + 5)
Factor -22202 - 22121 + 44485 + 159*l - 56*l**2 - 54*l + l**3.
(l - 54)*(l - 3)*(l + 1)
Let z(f) be the first derivative of -3/4*f**4 + 3/2*f**2 - 31 - 11*f**3 + 33*f. Find a, given that z(a) = 0.
-11, -1, 1
Find p, given that -112/5 - p**2 + 48/5*p = 0.
4, 28/5
Let a = -17/7 + 18/7. Let u = 42629/298599 + 4/42657. Determine c, given that 2/7*c**3 + u - 1/7*c - 2/7*c**2 + 1/7*c**4 - a*c**5 = 0.
-1, 1
Let p(q) = 6*q**2 - 4*q + 4. Let s = 10 + -6. Let m(f) be the first derivative of 11*f**3/3 - 7*f**2/2 + 7*f - 20. Let h(x) = s*m(x) - 7*p(x). Factor h(b).
2*b**2
Factor 3/4*k**4 + 0 - 15*k - 3/4*k**2 + 15*k**3.
3*k*(k - 1)*(k + 1)*(k + 20)/4
Let a be (-10 + 10)/(4 + -2 + 0). Suppose 5*o + 14 - 24 = a. Suppose 4*i - 3 - 4*i**2 + 3*i**o + 0*i = 0. What is i?
1, 3
Let y(q) be the first derivative of -q**4/5 + 52*q**3/5 - 144*q**2 - 320*q + 553. Find v such that y(v) = 0.
-1, 20
Let i be (9/2)/(3/(-18)). Let y = i - -30. Solve 4 - 3*z - 4*z**2 - 5*z - y - 5 = 0.
-1
Let d(m) = -6*m**2 + 91*m + 313. Suppose 5*n - x = 9*n + 13, -3*x = -4*n - 9. Let v(z) = 3*z**2 - 45*z - 156. Let g(t) = n*d(t) - 7*v(t). Factor g(a).
-3*(a - 17)*(a + 3)
Suppose -3*s - 105 = -8*s - 4*d, 2*s - 3*d = 42. Factor s*p**5 - 29*p**3 + 48*p**2 + 78*p**4 + 73*p**3 + 58*p**3 - 6 - 3*p.
3*(p + 1)**4*(7*p - 2)
Factor 13/6*g**2 - 68/3*g + 10.
(g - 10)*(13*g - 6)/6
Factor 2/15*x**2 + 2/5*x - 72/5.
2*(x - 9)*(x + 12)/15
Let g(i) be the third derivative of i**5/540 + i**4/108 - 7*i**3/6 - 128*i**2 + 6*i. Determine a so that g(a) = 0.
-9, 7
Let k(w) = 4*w**4 + 70*w**3 - 1826*w**2 + 6*w + 3. Let j(d) = 36*d**4 + 624*d**3 - 16436*d**2 + 56*d + 28. Let y(p) = 3*j(p) - 28*k(p). Solve y(g) = 0.
-35, 0, 13
Let h = 781200877/12119695 - -1/346277. Let u = h - 426/7. Factor -u + 3/5*s**2 + 3/5*s.
3*(s - 2)*(s + 3)/5
Let q(y) = y - 3. Let j be q(-2). Let i be 430/90 - (10/9)/j. Suppose 1/4*k**i - 1/2*k**2 + k**4 - 5/4*k + k**3 - 1/2 = 0. What is k?
-2, -1, 1
Let k(q) be the third deriv