t g(a) be the second derivative of -a**6/420 + a**4/12 + 2*a**3/7 - 65*a**2/2 + 213*a. Let d(u) be the first derivative of g(u). Factor d(x).
-2*(x - 3)*(x + 1)*(x + 2)/7
Let l(b) = -5*b**3 - 46*b**2 + 51*b + 113. Let d be l(-10). Factor -2/7*g**d + 1/7*g + 0 + 0*g**4 + 1/7*g**5 + 0*g**2.
g*(g - 1)**2*(g + 1)**2/7
Factor -3140/7*s + 3138/7 + 2/7*s**2.
2*(s - 1569)*(s - 1)/7
Let i be (0/(-3))/((7 - (-5 + 4)) + -11). What is a in -2/5*a**2 + 0 - 11/5*a**3 - 9/5*a**4 + i*a = 0?
-1, -2/9, 0
Let x(v) = -v**2 + 12*v - 26. Let c be x(4). Let -21*s**3 + 15 + c*s - 3*s**4 + 8*s**4 + 4*s + 29*s**3 - 18*s**3 - 20*s**2 = 0. What is s?
-1, 1, 3
Let 3*c**4 - 41683*c**2 + 51192*c**2 + 32662*c**2 + 63777*c**2 - 3885087 - 978*c**3 - 3778158*c = 0. What is c?
-1, 109
Factor -1/9*p**3 + 0 - 266/9*p**2 + 536/9*p.
-p*(p - 2)*(p + 268)/9
Let d be 2/(-2 - (-2)/2) - -2. Let b(q) be the third derivative of -1/1050*q**7 + d + 1/300*q**6 + 0*q**3 + 0*q**4 + 0*q**5 + 0*q - 11*q**2. Factor b(j).
-j**3*(j - 2)/5
Let i(o) = -9*o**5 - 888*o**4 - 1713*o**3 - 846*o**2 + 6*o + 6. Let h(g) = g**5 + 4*g**4 - g**3 - 2*g**2 - g - 1. Let f(m) = -6*h(m) - i(m). Factor f(d).
3*d**2*(d + 1)**2*(d + 286)
Suppose 0 = l - 0*l - 8. Suppose j + 189 = l*j. Suppose 7 + 31*f**2 - 11*f**2 - 4 + 52*f - j = 0. Calculate f.
-3, 2/5
Let s be 1/(-2) + ((-9425)/150 - -31) + 33. Solve -8/3*h - s*h**2 + 10/3 = 0.
-5, 1
Let a be (21/(-9))/(17/(1632/(-112))). Let h(d) be the second derivative of 0 + 1/6*d**4 + d**3 - 4*d**a + 15*d. Solve h(m) = 0.
-4, 1
Suppose 0 = -7*v + 5*t + 46, -v - v - 4*t - 14 = 0. Let -7/6*n**4 - 5/2*n + 3/2 + 7/3*n**v - 1/3*n**2 + 1/6*n**5 = 0. Calculate n.
-1, 1, 3
Factor 95*j**2 - 155*j**2 - 782*j - 800 + 75*j**2 - 408*j.
5*(j - 80)*(3*j + 2)
Suppose -37 + 1 = -337*o + 319*o. What is i in 3/7*i**o - 69/7*i - 150/7 = 0?
-2, 25
Let b(q) = q**2 + 514*q + 1024. Let s be b(-2). Let r(x) be the first derivative of 0*x**2 + x**4 + s*x + 34 + 1/3*x**3. Determine k, given that r(k) = 0.
-1/4, 0
Let h be (60/(-100))/((-1)/25). Let z be (3 + 0)/h + (-36)/(-20). Factor -46*r**4 + 36*r**z - 51*r**4 + 88*r**4 + 3*r**5 - 24*r - 6*r**3.
3*r*(r - 2)**2*(r - 1)*(r + 2)
Let s = 12079 - 12077. Let c(a) be the second derivative of 0*a**s + 0 + 1/4*a**3 - 7*a + 3/160*a**5 - 1/8*a**4. Solve c(f) = 0 for f.
0, 2
Let j(z) be the second derivative of -2 + 6/7*z**2 - 8/21*z**3 - 2/105*z**6 - 3*z - 2/21*z**4 + 4/35*z**5. What is h in j(h) = 0?
-1, 1, 3
Let a(z) = -3*z**2 + z. Let x(k) = k**2 - 9*k - 37. Let n be x(12). Let u(b) = -10*b**2 + b. Let p(d) = n*u(d) + 3*a(d). Find y, given that p(y) = 0.
-2, 0
Let i(q) be the second derivative of q**7/16380 + q**6/156 + 15*q**5/52 + 103*q**4/12 + 34*q. Let h(c) be the third derivative of i(c). Factor h(y).
2*(y + 15)**2/13
Suppose -1105*i + 1183 = -17*i - 993. Let -2*x - 1/4*x**i - 3 = 0. What is x?
-6, -2
Let a(o) = 11*o**4 - 7*o**3 + 261*o**2 + 917*o + 17. Let j(y) = 2*y**4 - y**3 + 44*y**2 + 153*y + 3. Let p(s) = 6*a(s) - 34*j(s). Determine c so that p(c) = 0.
-5, 0, 6
Let i(a) be the second derivative of 5/42*a**7 - 5*a**3 + 0*a**2 + 1/2*a**6 + 0 - 3/4*a**5 - 55/12*a**4 - 105*a. Factor i(g).
5*g*(g - 2)*(g + 1)**2*(g + 3)
Suppose -4*l - 8686*z = -8681*z - 215, -4*l + 2*z = -82. Factor -l*u + 375 + 3/5*u**2.
3*(u - 25)**2/5
Factor 2 - 27/2*i**3 + 29*i**2 - 35/2*i.
-(i - 1)**2*(27*i - 4)/2
Let i(k) = -2*k**3 - k**2 + 3*k + 2. Let q(h) = 9*h**3 + 117*h**2 - 251*h + 121. Let a(u) = 2*i(u) + q(u). Factor a(v).
5*(v - 1)**2*(v + 25)
Let u = 11920 + -11918. Let n(y) be the second derivative of 0 - u*y**2 - 18*y - 3/16*y**4 - y**3 - 1/80*y**5. Factor n(s).
-(s + 1)*(s + 4)**2/4
Factor 587*a - 5*a**2 - 22*a - 609 + 60 + 218 - 229.
-5*(a - 112)*(a - 1)
Let l = -1887 + 1895. Let x(o) be the first derivative of l + 0*o - 74/33*o**3 - 6/11*o**2 + 14/33*o**6 - 31/11*o**4 - 34/55*o**5. Suppose x(v) = 0. What is v?
-1, -1/2, -2/7, 0, 3
Let z = -37 + 97. Suppose 4*b = -2*m + z, 5*b - 78 + 0 = -m. Determine g so that -41*g + 4*g**3 + 19*g + 18*g + 16 - b*g**2 = 0.
-1, 1, 4
Let r = 53278 - 53275. Let -7 - 1/2*t**4 + 5/2*t**r - 5/2*t + 15/2*t**2 = 0. Calculate t.
-2, -1, 1, 7
Let u(b) be the third derivative of 137*b**6/360 - 6301*b**5/90 + 72427*b**4/18 + 2116*b**3/9 - 4782*b**2. Suppose u(z) = 0. Calculate z.
-2/137, 46
Let t = 5099/285 - 1668/95. Let -t*b**5 + 104/3*b**2 + 11/3*b**4 - 112/3*b - 16*b**3 + 16 = 0. What is b?
2, 3
Let k(c) be the first derivative of 88*c**3/3 - 134*c**2 + 12*c - 3743. Factor k(m).
4*(m - 3)*(22*m - 1)
Factor -100 - 7*j**2 + 21*j**2 + 189*j - 11*j**2 + 286.
3*(j + 1)*(j + 62)
Find s such that -1505/3 - 5/3*s**2 - 1510/3*s = 0.
-301, -1
Let s be 22/3 + 100/60. Let t(c) be the first derivative of 3*c**2 + s*c + 18 + 1/3*c**3. What is i in t(i) = 0?
-3
Let h(p) be the first derivative of p**6/6 - 3*p**4/4 - 2*p**3/3 + 2653. Find u such that h(u) = 0.
-1, 0, 2
Solve -2/7*c**3 - 400/7*c**2 + 40804/7 - 19594/7*c = 0 for c.
-101, 2
Let x(h) be the third derivative of -h**7/420 - h**6/45 + h**5/60 + h**4/3 + 43*h**3/6 + 2*h**2 - 74. Let y(s) be the first derivative of x(s). Factor y(n).
-2*(n - 1)*(n + 1)*(n + 4)
Suppose 29*c - 2*m = 34*c + 61, m = -c - 14. Let d(y) = y**3 + 10*y**2 - 10*y + 14. Let s be d(c). Solve 3 + 3/4*b**s + 15/4*b**2 + 6*b = 0.
-2, -1
Let r(b) be the second derivative of -3*b**5/100 - 22*b**4/5 - 2301*b**3/10 - 4563*b**2 + 178*b - 1. Solve r(z) = 0 for z.
-39, -10
Let k(f) = 34*f**3 - 202*f**2 + 21*f - 196. Let j be k(6). Factor 0 + 3/2*t**j + 9*t.
3*t*(t + 6)/2
Let q(b) be the first derivative of -2*b**3/15 - 47*b**2 - 468*b/5 - 1061. Determine o so that q(o) = 0.
-234, -1
Let m = 52550 + -262606/5. Factor m*y**4 + 0*y + 0 + 3/5*y**2 + 108/5*y**5 + 39/5*y**3.
3*y**2*(y + 1)*(6*y + 1)**2/5
Let p(m) be the second derivative of m**4/6 - 68*m**3/5 + 32*m**2 - 1300*m. What is k in p(k) = 0?
4/5, 40
Let z(h) = h**3 - 12*h**2 - 10*h - 32. Let j be z(13). Suppose -2*u - j*u + 27 = 0. Determine v so that 3137 + u*v**2 - 3137 = 0.
0
Suppose -138*t + 322*t = 368. What is r in 18/5*r + 2/5*r**t + 16/5 = 0?
-8, -1
Let j(m) = -m**5 + 4*m**4 - 41*m**3 + 146*m**2 - 166*m + 62. Let t(a) = -a**5 + 2*a**4 + a**3 + a - 1. Let v(w) = j(w) - 2*t(w). Solve v(r) = 0 for r.
-8, 1, 2, 4
Let m(y) = -y**3 - 74*y**2 + 200*y + 9441. Let a be m(-75). Factor 32 - 10*n**3 + a*n**2 - 432/5*n.
-2*(n - 5)*(5*n - 4)**2/5
Let v(p) be the third derivative of -13/20*p**5 + 0 - 86*p**2 - 169/2*p**4 - 1/480*p**6 - 17576/3*p**3 + 0*p. Factor v(a).
-(a + 52)**3/4
Suppose 0 = 31*f - 10186 + 9938. Let d(u) be the third derivative of 1/168*u**f + 0*u**3 - 5*u**2 + 0*u**6 + 0*u**5 + 0 + 0*u**4 - 2/35*u**7 + 0*u. Factor d(l).
2*l**4*(l - 6)
Let t(i) be the second derivative of 6395*i**4/12 + 2130*i**3 - 10*i**2 + 9385*i. Factor t(c).
5*(c + 2)*(1279*c - 2)
Let c(d) be the first derivative of -d**3/9 - 5*d**2/6 - 2*d + 4810. Determine g, given that c(g) = 0.
-3, -2
Let o(w) be the first derivative of -w**6/36 - 3*w**5/10 - 23*w**4/24 - 11*w**3/18 + 2*w**2 + 10*w/3 - 88. Let o(u) = 0. What is u?
-5, -2, -1, 1
Let 2/17*s**2 - 250/17 + 40/17*s = 0. What is s?
-25, 5
Let s be (4/(-30))/(222/(-1480)). Let k(z) = -2*z - 8. Let y be k(-6). Find t, given that -44/9*t**3 + s*t + 44/9*t**y + 4/9*t**2 - 4/3*t**5 + 0 = 0.
-1/3, 0, 1, 2
Let u be (-9)/(6/8*-2) + -1. Suppose -u*r = -4*d - 9*r - 4, r + 1 = 0. Factor -6/7*m**2 + d - 9/7*m + 3/7*m**3.
3*m*(m - 3)*(m + 1)/7
Let t(y) = -12*y**2 + 2 + 5*y + 6*y + 10 + y**3 - 7. Let d be t(11). Determine p, given that -14*p**2 - p**2 + 5*p**3 + d*p**4 + 0*p + 10 - 5*p = 0.
-2, -1, 1
Solve 3363/2*z**3 + 158189673/2*z + 3/2*z**4 + 1258875/2*z**2 + 155685351 = 0.
-373, -2
Suppose -337*m = -368*m + 496. Let 1/7*r**4 - 2*r**3 + 33/7*r**2 + 64/7 + m*r = 0. Calculate r.
-1, 8
Let t(x) be the second derivative of -1/40*x**6 + 3/4*x**2 - 5/8*x**3 + 3/16*x**4 + 3/80*x**5 - 71 - x. Let t(d) = 0. What is d?
-2, 1
Let n be (-18)/(-15)*(-490)/(-3234). Solve n*u + 8/11 - 8/11*u**2 - 2/11*u**3 = 0.
-4, -1, 1
Suppose -61*h = 164*h - 450. Suppose 32/9*l + 0 - 2/9*l**3 + 0*l**h = 0. Calculate l.
-4, 0, 4
Let k be -3 + (14 - 876/84 - (-14)/49). Find h, given that k*h**4 + 18/7*h - 4/7 - 4/7*h**5 - 26/7*h**2 + 10/7*h**3 = 0.
-2, 1/2, 1
Factor -452*n**3 - 18 + 16*