 - a - 14, 4*j = 4*a - 123 + 147. Suppose 0 = -t + p - 5*p - 2, 0 = 4*t - 3*p - 11. Factor 2*v**t - 9*v**2 + 8*v**j - 4*v.
v*(v - 4)
Let d = 11 + 36. Factor 8*y**2 - 22*y - d*y**2 - 3*y**3 - 44*y.
-3*y*(y + 2)*(y + 11)
Let t(c) = 14*c**2 - 4*c - 16. Let r(j) = 126*j**2 - 38*j - 140. Let s(d) = -3*r(d) + 26*t(d). Solve s(y) = 0.
-2/7, 1
Suppose 0 = -3*w + 5*d - 15, 75*d = -2*w + 69*d + 18. Let r(t) be the third derivative of -4/15*t**3 + w + 0*t + 3/50*t**5 + 12*t**2 - 4/15*t**4. Factor r(c).
2*(c - 2)*(9*c + 2)/5
Let a be ((-63280)/(-8624) - (-3)/33) + -6. Factor -4/7*b + 8/7 + 1/7*b**3 - a*b**2 + 4/7*b**4 + 1/7*b**5.
(b - 1)**2*(b + 2)**3/7
Let o(u) be the third derivative of u**7/280 + 7*u**6/120 + 3*u**5/10 + 209*u**3/6 - 270*u**2. Let z(k) be the first derivative of o(k). What is p in z(p) = 0?
-4, -3, 0
Let x(k) = -32*k**3 - 7128*k**2 + 7150*k - 30. Let g(f) = 10*f**3 + 2376*f**2 - 2383*f + 9. Let c(j) = 10*g(j) + 3*x(j). Factor c(d).
4*d*(d - 1)*(d + 595)
Let y(z) = -20*z**3 + 9*z**2 + 33*z - 151. Let x(g) = -11*g**3 + 4*g**2 + 17*g - 76. Let o(h) = 11*x(h) - 6*y(h). Factor o(q).
-(q - 2)*(q + 5)*(q + 7)
Let f(h) be the first derivative of -h**6/2160 + 7*h**5/90 - 49*h**4/9 + 2*h**3/3 + 29*h + 7. Let s(l) be the third derivative of f(l). Factor s(z).
-(z - 28)**2/6
Let b = -314 + 320. Let y(i) = -3*i**2 - 21*i - 16. Let n(t) = -3*t**2 - 19*t - 14. Let j(m) = b*y(m) - 7*n(m). Factor j(z).
(z + 2)*(3*z + 1)
Let l be (-4)/30 - 20726/(-645). Factor -8*u**2 + l*u**2 - 359 + 363 + 20*u.
4*(2*u + 1)*(3*u + 1)
Let u(x) be the first derivative of -x**6/180 - 23*x**5/180 - 11*x**4/72 - 12*x**2 + 18. Let o(h) be the second derivative of u(h). Factor o(m).
-m*(m + 11)*(2*m + 1)/3
Let i = -39 - -30. Let a(t) = -t**3 - 10*t**2 - 12*t + 20. Let h be a(i). What is u in -22*u**2 + 25*u - u**3 + 6*u**3 - 45*u**2 - 10 + h*u**2 = 0?
1, 2
Let w(s) be the third derivative of s**5/20 + 71*s**4/8 + 330*s**3 - 280*s**2. Suppose w(g) = 0. Calculate g.
-60, -11
Factor -584/7*o + 164/7*o**2 - 11/7*o**4 - 1/7*o**5 + 480/7 + 30/7*o**3.
-(o - 2)**3*(o + 5)*(o + 12)/7
Let m = -218 - -222. Factor r + 3*r + m*r**2 + 17 - 25.
4*(r - 1)*(r + 2)
Let r(c) be the first derivative of c**9/2016 - c**8/4480 - 89*c**3/3 + 106. Let v(p) be the third derivative of r(p). Let v(a) = 0. What is a?
0, 1/4
Let t(x) be the first derivative of 0*x - 2/5*x**5 - 191 + 0*x**2 + 1/3*x**6 + 2/3*x**3 - 1/2*x**4. Factor t(p).
2*p**2*(p - 1)**2*(p + 1)
Let s = -5654 - -5663. Let g(p) be the first derivative of -3/4*p**4 - s*p**3 + 75*p - 45/2*p**2 - 10. Factor g(o).
-3*(o - 1)*(o + 5)**2
Let w = 1110 + -1101. Let u be -5*(-517)/275 - w. What is d in 14/15*d + u + 8/15*d**2 = 0?
-1, -3/4
Let n(m) be the first derivative of -m**4/4 - 14*m**3/3 - 33*m**2/2 + 1454. What is c in n(c) = 0?
-11, -3, 0
Let w = -8869/225 + 986/25. Let g(n) be the second derivative of -1/150*n**5 + 0 + 31*n + 1/15*n**2 + w*n**3 - 1/90*n**4. Find b such that g(b) = 0.
-1, 1
Factor -8070*u**2 + 7488*u - 3240 - 8363*u**2 + 11455*u**2 + 722*u**3.
2*(u - 5)*(19*u - 18)**2
Factor -70*c + 21/2*c**2 + 23/2*c**3 + 6.
(c - 2)*(c + 3)*(23*c - 2)/2
Let l(c) be the second derivative of 27*c**5/20 - 37*c**4/4 - 3*c**3 + 60*c**2 - 35*c. Factor l(z).
3*(z - 4)*(z + 1)*(9*z - 10)
Let q(d) be the second derivative of -d**5/10 + 7*d**4/6 - 5*d**3 + 9*d**2 - 9*d + 10. Solve q(n) = 0.
1, 3
Let q(n) be the first derivative of n**5/48 + 25*n**4/48 + 125*n**3/24 + 8*n**2 - 66. Let c(f) be the second derivative of q(f). Factor c(u).
5*(u + 5)**2/4
Let s(m) = -m**2 - 10*m. Let x be s(-8). Let o = -13 + x. Find g such that -g + 7*g**3 + g**3 - 2*g**2 + 12*g**2 + o*g = 0.
-1, -1/4, 0
Let a be (-4)/(-6) + 2 - (-90)/(-12690)*-47. Factor -9*b + 66/5*b**2 - 2/5*b**4 + 1/5*b**5 + 0 - 4*b**a.
b*(b - 3)**2*(b - 1)*(b + 5)/5
Let m(l) be the third derivative of 65*l**8/336 + 25*l**7/21 + 61*l**6/24 + 2*l**5 + 3177*l**2. Solve m(y) = 0 for y.
-24/13, -1, 0
Let b be ((-44)/36 - -1)*-12. Let i = -11887 - -11889. Suppose b - 2*o**2 - 2/3*o**4 + 22/3*o**3 - i*o**5 - 16/3*o = 0. Calculate o.
-2, -1, 2/3, 1
Let q(x) be the first derivative of x**3/3 - 359*x**2 + 717*x - 6509. Suppose q(b) = 0. What is b?
1, 717
Let h(p) be the first derivative of -3/10*p**3 + 3/5*p**2 - 1/20*p**4 + 3/50*p**5 - 2/5*p - 111. Suppose h(a) = 0. What is a?
-2, 2/3, 1
Factor 35912/13 - 2680*a + 2/13*a**4 + 20*a**3 + 7914/13*a**2.
2*(a - 2)**2*(a + 67)**2/13
Factor -20/3 - 8*r**2 + 14*r + 2/3*r**3.
2*(r - 10)*(r - 1)**2/3
Let r(v) = 6*v**2 + 15*v - 52. Let i be r(7). Factor -343*d - 20*d**2 + 0*d**3 + i*d - 4*d**3 + 20.
-4*(d - 1)*(d + 1)*(d + 5)
Let z(b) be the third derivative of b**8/504 - b**7/315 - b**6/6 - 38*b**5/45 - 14*b**4/9 - 960*b**2. Find k such that z(k) = 0.
-2, 0, 7
Let w be (-1004)/(-168) - 2*3/4. Let h(f) be the second derivative of -26*f - 3/7*f**4 + 0 - w*f**3 - 20/7*f**2. Suppose h(a) = 0. What is a?
-5, -2/9
Let h be (5 + -4)*(-2 + 2). Let i(f) = 2 + 6*f**2 - 3 + h - 4*f - 7*f**2. Let y(k) = 3*k**2 + 11*k + 3. Let b(n) = -17*i(n) - 6*y(n). What is g in b(g) = 0?
1
Let y(u) be the first derivative of 49/9*u**3 - 16 + 1/90*u**5 - 22*u - 7/18*u**4 - 343/9*u**2. Let v(c) be the first derivative of y(c). Factor v(l).
2*(l - 7)**3/9
Suppose 67 = 2188*j - 2175*j + 3*f, 4*j = 3*f + 1. Determine u, given that -39*u**3 - 12/5*u - 63/5*u**5 + 84/5*u**2 + 0 + 186/5*u**j = 0.
0, 2/7, 2/3, 1
Suppose 132 - 126 = x. Let m**5 + 8 - 4*m**2 + 513*m**3 - 4*m + 4*m**4 - x*m**2 - 512*m**3 = 0. What is m?
-2, 1
Let u(p) = 3*p**2 - 3*p - 20. Let m be u(5). Suppose 0 = 4*d + m - 52. What is t in -2*t - 11*t**d - 6*t**4 - 7*t + 19*t**2 + 7*t**4 = 0?
0, 1, 9
Let w(v) = -9*v**2 + 16*v - 6. Let i(h) = 3*h**2 - 5*h + 2. Let c(f) = 7*i(f) + 2*w(f). Let d(u) = 5*u**2 - 4*u + 3. Let l(o) = -6*c(o) + 4*d(o). Factor l(n).
2*n*(n + 1)
Let y = -6618/7 - -946. Suppose -68*x = -74*x + 12. Factor -8/7*r + 2/7*r**4 - 6/7*r**x + 8/7 + y*r**3.
2*(r - 1)**2*(r + 2)**2/7
Let h(p) = -2*p**2 - 2*p + 8. Let b(f) = -3*f**2 + 102*f + 224. Let s(w) = -b(w) + 2*h(w). Suppose s(r) = 0. What is r?
-104, -2
Let p(t) = -2*t**2 + 484*t - 14141. Let n be p(34). Factor -10/9*r**n + 0 + 2/9*r**4 + 14/9*r**2 - 2/3*r.
2*r*(r - 3)*(r - 1)**2/9
Let t(n) be the third derivative of n**6/300 - 4*n**5/5 - n**4/60 + 8*n**3 - 3596*n**2 + n. Find k, given that t(k) = 0.
-1, 1, 120
Let s(l) be the third derivative of l**5/20 + 943*l**4/4 - 1887*l**3/2 - 14146*l**2. Factor s(b).
3*(b - 1)*(b + 1887)
Let h = 1/38 - -109/190. Let q = 1/37 - -32/185. Factor -q*d**3 - d**2 - h*d + 0 + 1/5*d**4.
d*(d - 3)*(d + 1)**2/5
Let c(f) be the third derivative of -f**7/315 + f**6/30 + 91*f**5/90 + 905*f**2. Solve c(y) = 0 for y.
-7, 0, 13
Factor 2/17*b**2 - 6/17*b**4 + 0*b + 0 + 4/17*b**3.
-2*b**2*(b - 1)*(3*b + 1)/17
Let x(g) be the third derivative of -g**7/1260 + g**6/120 + 3*g**5/10 - 19*g**4/24 - g**3/2 - 29*g**2. Let t(m) be the second derivative of x(m). Factor t(q).
-2*(q - 6)*(q + 3)
Let d be 40/17*(2 - -3). Let k(i) = -2*i**2 + 6323*i + 191492. Let o be k(-30). Determine g so that 40/17*g + d + 2/17*g**o = 0.
-10
Let y(s) be the second derivative of s**4/18 - 25*s**3/9 + 48*s**2 + 3*s - 118. Factor y(m).
2*(m - 16)*(m - 9)/3
Let x(r) = -r**2 - 18*r - 91. Let k be x(-10). Let n be (-13)/(-18) - k/((-99)/2). Solve -11/2*q - n*q**2 - 5 = 0 for q.
-10, -1
Let j be 96/72*3/2. Find b, given that 3*b**3 - 7 - 84 + 87*b**j + b**3 + 462*b + 10 - 40 = 0.
-11, 1/4
Let f(c) = -19*c**2 - 727*c - 186. Let m be f(-38). Factor 0 - 98/9*a**m - 8/9*a**2 + 56/9*a**3 + 0*a.
-2*a**2*(7*a - 2)**2/9
Let q(s) be the first derivative of 54 + 1/2*s**3 + 15/4*s**2 + 6*s. Determine o, given that q(o) = 0.
-4, -1
Let b be 11/((-308)/24) + (-198)/18 + 12. Factor 5/7*j**4 - b*j**5 + 22/7*j - 17/7*j**2 - 1/7*j**3 - 8/7.
-(j - 4)*(j - 1)**3*(j + 2)/7
Let m(t) = 12*t**3 - 4116*t**2 + 8316*t - 4172. Let s(f) = -7*f**3 + 2745*f**2 - 5544*f + 2781. Let j(q) = 5*m(q) + 8*s(q). Factor j(v).
4*(v - 1)**2*(v + 347)
Suppose 70507 = 33*z + 20314. Let o be 104/z + (-4)/(-26). Factor 0 - o*s - 2/9*s**2.
-2*s*(s + 1)/9
Let q(y) be the first derivative of -y**2 - 2/3*y**3 - 36*y - 25 + 59/24*y**4 + 63/40*y**5. Let o(v) be the first derivative of q(v). Factor o(f).
(f + 1)*(7*f - 2)*(9*