/3 + 5*s**2 - 12*s - 4252. What is u in o(u) = 0?
-6, -2, 1
Let g(u) be the first derivative of u**3/2 + 87*u**2/2 + 2475*u/2 + 122. Determine d, given that g(d) = 0.
-33, -25
Let b be (-28)/8*(0 - 3/(-10) - 55332/14840). Solve 4/3 - b*o + 49/3*o**4 - 42*o**3 + 109/3*o**2 = 0 for o.
2/7, 1
Suppose 119/3*h - 26 - 14*h**2 + 1/3*h**3 = 0. What is h?
1, 2, 39
Let o(q) be the second derivative of -q**6/20 + 45*q**5/8 + 19*q**4/2 + 1754*q. Factor o(w).
-3*w**2*(w - 76)*(w + 1)/2
Factor -170/3*p**3 - 2962408/3*p - 1/12*p**4 - 12882*p**2 - 5771588/3.
-(p + 2)*(p + 226)**3/12
Let f be (-3)/(-2)*(7 + (-1206)/(-297) + 231/(-21)). Factor 2/11 + f*i**2 + 3/11*i.
(i + 1)*(i + 2)/11
Let y(g) be the first derivative of -8/3*g**3 + 1/5*g**5 + 31*g - 4*g**2 - 1/2*g**4 + 16 + 1/15*g**6. Let d(n) be the first derivative of y(n). Solve d(l) = 0.
-2, -1, 2
Let j = 48 - 46. Let b(d) = 87*d - 23 + 20*d**j - 5*d**2 - 22. Let u(g) = -44*g**2 - 260*g + 136. Let c(f) = 16*b(f) + 5*u(f). Factor c(v).
4*(v + 5)*(5*v - 2)
Let o(f) be the first derivative of 42*f**2 - 1/3*f**3 - 25 - 1764*f. Factor o(i).
-(i - 42)**2
Let w(x) be the third derivative of -x**7/1260 - 7*x**6/60 + x**5/120 + 127*x**4/72 + 14*x**3/3 - 220*x**2. Solve w(z) = 0.
-84, -1, 2
What is a in 105*a + 24 - 176530*a**2 + 176569*a**2 - 15 - 9*a + 27 = 0?
-2, -6/13
Let v(j) be the second derivative of -j**6/135 - 64*j**5/9 - 50879*j**4/27 + 68480*j**3/9 - 11449*j**2 + j - 140. Factor v(u).
-2*(u - 1)**2*(u + 321)**2/9
Let t be 17 + -10 + 14786/(-2198). Let x = t - -2/157. Factor 36/7*c**2 - 216/7*c + 432/7 - x*c**3.
-2*(c - 6)**3/7
Let r(c) = 22*c**2 - 70*c + 70. Let g be r(1). Suppose 2*h = -g*h - 24*h. Suppose h*n - 3/2*n**2 + 0 - 9/2*n**4 - 3/2*n**5 - 9/2*n**3 = 0. What is n?
-1, 0
Factor -39/5*t + 0 - 1/5*t**2.
-t*(t + 39)/5
Let b(r) = r**2 + r - 2. Let f be 0/2 + (23 + 2)/5. Let q(z) = -z**2 - z + 2. Let a(d) = -d. Let y be a(-6). Let i(w) = f*q(w) + y*b(w). Factor i(x).
(x - 1)*(x + 2)
Factor -183*f + 18282*f**3 - 18286*f**3 - 132*f**2 - 297*f - 464.
-4*(f + 2)**2*(f + 29)
Factor 0 - 2/11*p**3 + 50/11*p**2 + 0*p.
-2*p**2*(p - 25)/11
Suppose 2/13*o**4 + 144/13*o - 16/13*o**3 - 126/13 - 4/13*o**2 = 0. Calculate o.
-3, 1, 3, 7
Let s be (-58)/64*-8 - ((2 - 10) + (-13 - -28)). What is u in 1/4*u**2 + 5 - 4*u + s*u**3 = 0?
-5, 2
Let b be ((-699)/(-2436) + 0)*(-20)/(-10). Let h = b - 1/406. Factor -12/7*w**2 - 20/7*w**3 + 0 - h*w**4 + 36/7*w.
-4*w*(w - 1)*(w + 3)**2/7
Let j(d) = 17*d**2 + 58*d - 24. Suppose -2*h - 45 + 47 = 0. Let w(s) = -s**2 + 2*s. Let n(k) = h*j(k) + 5*w(k). Factor n(a).
4*(a + 6)*(3*a - 1)
Suppose 2 = -9*u + 74. Let h be 2 - 18/u - (-585)/4. Factor -25*g**4 + h*g**2 - 10*g - 13*g**3 - 5*g**5 - 32*g**3 - 181*g**2.
-5*g*(g + 1)**3*(g + 2)
Suppose -132 + 394/3*f + 2/3*f**2 = 0. Calculate f.
-198, 1
Let z(p) be the first derivative of 57/14*p**2 - 18 - 1/14*p**6 - 18/7*p + 6/35*p**5 - 20/7*p**3 + 9/14*p**4. Determine j, given that z(j) = 0.
-3, 1, 2
Let f(p) = 24*p**2 - 23*p - 115. Let w(d) = -43*d**2 + 47*d + 239. Let b(m) = -9*f(m) - 5*w(m). Factor b(t).
-(t + 8)*(t + 20)
Let d(t) = -28*t**4 - 94*t**3 - 114*t**2 - 100*t - 38. Let v(c) = 9*c**4 + 31*c**3 + 39*c**2 + 33*c + 12. Let m(g) = 2*d(g) + 7*v(g). Factor m(q).
(q + 1)**3*(7*q + 8)
Suppose 0 = -410*x - 1270 + 2090. Factor 2/7*f**5 + 6/7 + 44/7*f**2 + x*f**4 + 26/7*f + 36/7*f**3.
2*(f + 1)**4*(f + 3)/7
Let u(q) be the second derivative of q**6/30 - 79*q**5/10 + 6241*q**4/12 + 1294*q. Let u(j) = 0. What is j?
0, 79
Let g(i) = -8*i**2 + 23*i - 25. Let z = 313 - 308. Let t(x) = -10*x**2 + 24*x - 26. Let m(v) = z*t(v) - 6*g(v). Factor m(q).
-2*(q - 1)*(q + 10)
Let t(c) be the first derivative of c**5 + 65*c**4/2 + 275*c**3 - 1072. What is l in t(l) = 0?
-15, -11, 0
Suppose -192*b + 253*b = 183. Let w = -7 - -11. Factor 20 + 42*r + 4*r - 2*r - w*r**b + 28*r**2 + 8*r**3.
4*(r + 1)**2*(r + 5)
Let z be (1 + -1)/(-8 + -11 + 7 + 10). Let t(s) be the first derivative of 16 + z*s**4 + 4/3*s**3 - 4/5*s**5 + 0*s**2 + 0*s. Solve t(u) = 0.
-1, 0, 1
Let h(r) be the first derivative of 2*r**3/3 + 186*r**2 + 736*r - 722. Factor h(l).
2*(l + 2)*(l + 184)
Let t(p) be the third derivative of -p**5/100 + 13*p**4/8 + 67*p**3/5 + 994*p**2. Factor t(z).
-3*(z - 67)*(z + 2)/5
Factor -1340*p**2 - 24712*p**3 + 2114*p + 24726*p**3 + 1116 + 1408*p.
2*(p - 93)*(p - 3)*(7*p + 2)
Suppose 13 = -p - 6707*a + 6711*a, 2*p - a = 2. Factor 0*r - 1/5*r**5 + 0 + 4/5*r**p - 2/5*r**4 + 8/5*r**2.
-r**2*(r - 2)*(r + 2)**2/5
Factor -135/8 - 6*p - 1/8*p**2.
-(p + 3)*(p + 45)/8
Let b(z) be the first derivative of 168*z**3 - 192*z**2 - 26*z**4 + 70 + 6/5*z**5 - 512*z. Factor b(t).
2*(t - 8)**2*(t - 2)*(3*t + 2)
What is b in 0 - 205/4*b**3 + 35/4*b**5 + 75/2*b**4 - 105*b**2 - 25*b = 0?
-5, -1, -2/7, 0, 2
What is q in -144*q + 266*q + 3*q**2 + 96*q - 2*q**2 = 0?
-218, 0
Let r be -2*9/(-72)*-16*2/(-24). Find t, given that 0 + r*t**2 + 2/3*t = 0.
-2, 0
Let c(x) = -x**3 - 4*x**2 - 14*x. Let k(g) = 60*g**3 + 4048*g**2 + 1964*g + 252. Let f(m) = -4*c(m) + k(m). Suppose f(p) = 0. Calculate p.
-63, -1/4
Let v(w) be the first derivative of 5*w**3/21 - 1664*w**2/7 - 1332*w/7 + 680. Determine n, given that v(n) = 0.
-2/5, 666
Let x(a) be the third derivative of a**6/1980 - 2*a**5/55 + 23*a**4/132 - 191*a**3/6 - 79*a**2. Let w(d) be the first derivative of x(d). Factor w(c).
2*(c - 23)*(c - 1)/11
Let m = 4435/2688 - -15/896. Factor 25/3*g + 70/3 - m*g**2.
-5*(g - 7)*(g + 2)/3
Suppose 4*l - 4*g = -348, 161 + 13 = -2*l + 4*g. Let z be (-10)/(-8) - 2 - l/84. Suppose -9/7*o**3 + o**2 + z*o + 0 = 0. Calculate o.
-2/9, 0, 1
Let z be ((-1036)/185)/(-11 - -5) + 8/(-10). Solve -8/3*y + 2/15*y**5 + z*y**3 + 16/15 - 8/15*y**4 + 28/15*y**2 = 0.
-2, 1, 2
Let q(s) = s**3 - 5*s**2 + 4*s + 3. Suppose -5*r = -5*d - 5, -3*d + 7*r = 5*r - 2. Let v be q(d). Factor j**3 + 16*j + 5*j + 6*j**2 - 5*j**v - 17*j.
-2*j*(j - 2)*(2*j + 1)
Let i(b) = -60*b**2 + 952*b - 3248. Let v(d) = -34*d**2 + 544*d - 1857. Let o(g) = -9*i(g) + 16*v(g). Factor o(n).
-4*(n - 30)*(n - 4)
Determine r, given that 970 - 134*r**2 - 21 + 8*r - 413 - 2*r**3 = 0.
-67, -2, 2
Let l(i) be the first derivative of -2*i**3/3 + 5807*i**2/4 + 726*i + 7289. Suppose l(q) = 0. What is q?
-1/4, 1452
Let y(p) be the second derivative of -p**6/15 - 27*p**5/10 + 50*p**4 - 848*p**3/3 + 576*p**2 + 47*p + 3. Factor y(d).
-2*(d - 4)**2*(d - 1)*(d + 36)
Let m(r) be the second derivative of -r**9/25704 - r**8/14280 - 97*r**3/3 + 24*r + 4. Let v(u) be the second derivative of m(u). Let v(z) = 0. What is z?
-1, 0
Let d(q) be the third derivative of -q**7/1890 - q**6/72 - 41*q**5/540 + 17*q**4/72 + 11*q**3/3 - 2811*q**2 + q + 1. Solve d(l) = 0.
-11, -3, 2
Let n be ((-184)/7176 - 461/273)*(7/(-2) - 0). Solve 86/3*w**3 - 4*w - 34/3*w**2 + 0 - 22/3*w**4 - n*w**5 = 0 for w.
-3, -2/9, 0, 1
Let v(z) = -z**2 - 1. Let r(j) be the second derivative of -6*j**3 + 3*j**2/2 + 19*j. Let k(f) = -r(f) - 3*v(f). Let k(u) = 0. What is u?
-12, 0
Suppose -20 = 248*h - 252*h. Let x(t) = 3*t**2 - 5*t + 4. Let s be x(1). Solve -2/5*c**s + 2/5*c**4 - 2/5*c**h - 16/5*c + 2*c**3 - 8/5 = 0 for c.
-1, 2
Let s(a) be the second derivative of 0 + 1/105*a**6 + 52*a + 0*a**2 - 2/35*a**5 + 1/14*a**4 + 0*a**3. What is w in s(w) = 0?
0, 1, 3
Let h = -1/537675 + 14517229/2150700. Find c such that -h*c - 1/4*c**3 - 15/4*c**2 - 13/4 = 0.
-13, -1
Let k(m) = -m - 12. Let j(v) = 9*v**3 - 177*v**2 - 63*v + 156. Let g(q) = -j(q) - 3*k(q). Solve g(c) = 0 for c.
-1, 2/3, 20
Let c be -2 - (-8 + (-20)/(-5)). Determine g, given that 13*g - 60 - 5*g + 23*g**2 - 19*g**c = 0.
-5, 3
Let s(q) be the second derivative of -q**4/24 + 127*q**3/12 - 63*q**2/2 - 803*q. What is t in s(t) = 0?
1, 126
Suppose -11*x - 34 + 67 = 0. Factor 4*p**4 - 23*p**3 - 20*p + 8*p**x - 13*p**3 + 44*p**2.
4*p*(p - 5)*(p - 1)**2
Let k = 129242 - 129242. Factor -1/4*a**2 - 1/2*a + k.
-a*(a + 2)/4
Suppose 0 = -14*y + 112, -1067*y = -4*n - 1064*y - 16. Factor 7/2*h**3 - 6*h - 1/2*h**4 - n*h**2 + 0.
-h*(h - 6)*(h - 2)*(h + 1)/2
Let w be ((-735)/98 - -8)/(22/4 + -2). Factor -3 - 22/7*z - w*z**2.
-(z + 1)*(z + 21)/7
Let d(n) be the first derivative of n**5/30 - 37*n**4/6 + 5621*n**3/18 - 5329*n**2/6 - 385. Factor d(k).
k*(k - 73)**2*(k - 2)/6
Let c = 5 -