 4 - 2/27*n**3 - v*n**2. Factor i(s).
-2*(s - 1)*(s + 2)/9
Let c(v) be the first derivative of -v**4/24 + 5*v**3/12 - 3*v**2/2 + 39*v + 3. Let n(q) be the first derivative of c(q). Factor n(t).
-(t - 3)*(t - 2)/2
Factor -33/2*i**2 + 39*i - 3/2*i**3 + 0.
-3*i*(i - 2)*(i + 13)/2
Let f(o) be the first derivative of -2/33*o**3 - 2/55*o**5 + 1/11*o**4 + 0*o + 0*o**2 + 1. Find i, given that f(i) = 0.
0, 1
Let s = 1/2500 - -999/2500. Suppose -s*g - 1/5*g**2 - 1/5 = 0. What is g?
-1
Let f be 693/189 - 1/1. Suppose -8/3*q - 2*q**2 + f = 0. What is q?
-2, 2/3
Let w(m) = 5*m - 21. Let h be w(6). Suppose h*f = -f. Factor 4/5*a + 2/5*a**2 + f.
2*a*(a + 2)/5
Let d = -27527 + 6110. Let w = 66523/3 + d. Factor -w*q**2 + 1120*q**3 - 588*q**4 + 640/3*q - 64/3.
-4*(3*q - 2)**2*(7*q - 2)**2/3
Suppose 4*n + 21 = 3*a, 5*a + n = 4*a. Suppose -6*k = -8*k + 3*c, 5*c - 1 = a*k. Solve 4/7*h - 4/7*h**k - 2/7*h**2 + 2/7*h**4 + 0 = 0 for h.
-1, 0, 1, 2
Let a = 116 + -116. Suppose -5 = -d + 2*l, -2*d = -l - a - 10. Solve 0*v + 0*v**2 + 8/3*v**4 + 0 + 7/6*v**d + 2/3*v**3 = 0 for v.
-2, -2/7, 0
Let t(i) be the first derivative of 30*i**2 + 24 + 5/4*i**4 + 40*i + 10*i**3. Factor t(s).
5*(s + 2)**3
Suppose m - 48 = 22. Determine i, given that 28*i**3 + 96*i**4 + 26*i - 4 - 64*i**5 - m*i**2 - 22*i**2 + 10*i = 0.
-1, 1/4, 1
Suppose -8 - 47*f + f**2 + 62*f - 26 = 0. Calculate f.
-17, 2
Suppose -32 - 30 = -31*k. Let j(g) be the first derivative of 0*g**5 - 1/33*g**6 + 2 + 1/22*g**4 + 0*g + 0*g**3 + 0*g**k. Determine r so that j(r) = 0.
-1, 0, 1
Suppose -3*l - 4 = -4*l. Factor 9*n**3 + 8*n**l - 6*n**3 - 9*n**4 - 4*n.
-n*(n - 2)**2*(n + 1)
What is a in -17/3*a - 5/3*a**2 + 4 = 0?
-4, 3/5
Suppose 0 = 4*k + z + 1, -13*z + 10*z = -9*k + 45. Factor 0 + 1/4*d**k + 0*d.
d**2/4
Let o(b) be the first derivative of -b**6/1440 - b**5/96 + b**4/16 - 8*b**3 - 11. Let x(n) be the third derivative of o(n). Factor x(l).
-(l - 1)*(l + 6)/4
Let o(x) = -3*x**3 - 7*x - 8. Let z be o(-1). Let n(v) be the first derivative of -1 - 1/2*v**4 - z*v**3 - 2*v - 3*v**2. Factor n(c).
-2*(c + 1)**3
Let g(o) be the third derivative of o**8/112 + 4*o**7/35 + 2*o**6/5 - 4*o**5/5 - 10*o**4 - 32*o**3 + 338*o**2. What is s in g(s) = 0?
-4, -2, 2
Let g be 1 + (-1 - (-5)/1). Suppose -f = 4*p - 3*p, 0 = g*p - f - 12. Factor -53*x - 3*x**2 + 57*x + 2*x**p - 4.
-(x - 2)**2
Let n = -12168/355 - -2604/71. Factor 1/5*s**3 + 48/5*s + n*s**2 + 64/5.
(s + 4)**3/5
Let i(z) be the second derivative of -4/105*z**7 + 9/5*z**2 + 3/10*z**5 + 21*z + 0 + 0*z**6 - z**3 - 1/6*z**4. Factor i(p).
-2*(p - 1)**3*(2*p + 3)**2/5
Let d(c) = 110*c - 2155. Let f be d(20). Factor 75/2*x**3 + 27/2*x + 0 - f*x**2.
3*x*(5*x - 3)**2/2
Suppose 0 = -x + 4*x. Find w, given that 7 - 2*w**2 - 15 + x + 8*w = 0.
2
Let y(v) be the third derivative of v**6/120 + v**5/40 - v**4/4 + v**3/3 - 12*v**2. Let f(q) be the first derivative of y(q). Factor f(g).
3*(g - 1)*(g + 2)
Let d(a) be the third derivative of 22*a**2 + 8/3*a**3 + a + 0 + 1/60*a**6 + 1/30*a**5 - 5/6*a**4. What is s in d(s) = 0?
-4, 1, 2
Let q(d) be the first derivative of 8 + 1/8*d**4 - 1/16*d**2 + 0*d + 1/8*d**3. Solve q(p) = 0.
-1, 0, 1/4
Let d(y) be the first derivative of -3/4*y**4 + 31 - 21*y - 45/2*y**2 - 9*y**3. Factor d(l).
-3*(l + 1)**2*(l + 7)
Let d(b) be the third derivative of -b**8/120960 - b**7/7560 - b**6/1080 - b**5/60 - 5*b**2. Let r(p) be the third derivative of d(p). Factor r(n).
-(n + 2)**2/6
Let y be 5/(-3) + 1372/420. Let -2/5*g**2 + 2 - y*g = 0. Calculate g.
-5, 1
Let u(w) = -10*w**2 + 19*w + 5. Let j(x) be the second derivative of -25*x**4/6 + 16*x**3 + 12*x**2 - 23*x. Let b(z) = 3*j(z) - 16*u(z). Factor b(c).
2*(c - 2)*(5*c + 2)
What is p in -24/7*p**2 + 0 + 0*p + 4/7*p**4 + 4/7*p**3 = 0?
-3, 0, 2
Let q(u) be the second derivative of -5*u - 10/3*u**3 - 10/3*u**4 + 0*u**2 + 0 - 1/6*u**6 - 5/4*u**5. Find z, given that q(z) = 0.
-2, -1, 0
Let a be 1/((-63)/(-18))*(2 - 1). Let g(v) = -v**2 - 3*v + 2. Let w be g(-3). Let a*f**w - 4/7 + 2/7*f = 0. What is f?
-2, 1
Let l = -174 - -872/5. Factor 0 - 2/5*t**3 - 4/5*t**2 - l*t.
-2*t*(t + 1)**2/5
Let p(x) = -2*x**3 + 16*x**2 + 173*x - 65. Let f be p(14). Find o, given that -2/9*o**2 + 1/9*o + 0 + 2/9*o**4 + 0*o**3 - 1/9*o**f = 0.
-1, 0, 1
Solve -2/11*g**4 - 64/11*g - 48/11*g**2 - 32/11 - 16/11*g**3 = 0 for g.
-2
Let d = -2268 + 2268. Factor d*u**2 - 4/9*u**3 + 0 + 0*u**4 + 2/9*u**5 + 2/9*u.
2*u*(u - 1)**2*(u + 1)**2/9
Let r = 202 - 502/3. Let y = r + -32. Find k, given that 2/3*k**2 + 8/3 + y*k = 0.
-2
Suppose 5*x - 8 + 28 = 0. Let l be (3 + x - 0)*0. What is k in l*k**5 - 5*k**5 + 4*k**5 + 3*k + 2*k**2 - 2*k**3 - 3*k**4 + 0 + 1 = 0?
-1, 1
Let g = -10 + 25. Suppose -2*l + g = l. Factor -4*h**2 - 5 - 12*h + l.
-4*h*(h + 3)
Let j(z) be the third derivative of 0*z**4 - 2/525*z**7 + 0*z**5 + 0 + 0*z - 1/120*z**8 + 0*z**6 + 0*z**3 - 13*z**2. Factor j(g).
-2*g**4*(7*g + 2)/5
Let s(n) be the first derivative of 19/7*n**2 + 22/21*n**3 + 18/7*n + 1/14*n**4 - 2. Factor s(t).
2*(t + 1)**2*(t + 9)/7
Let b(h) be the third derivative of h**8/8400 + h**7/1575 - h**6/300 - 4*h**4/3 + 8*h**2. Let g(m) be the second derivative of b(m). Solve g(s) = 0 for s.
-3, 0, 1
Let a(u) be the third derivative of u**6/720 - u**5/240 - 2*u**3/3 - 4*u**2. Let z(w) be the first derivative of a(w). Factor z(q).
q*(q - 1)/2
Let g(k) be the first derivative of -k**3/18 + k**2/6 + k/2 - 213. Factor g(r).
-(r - 3)*(r + 1)/6
Let z(j) be the first derivative of j**4/40 + 7*j**3/30 + 3*j**2/4 + 9*j/10 + 174. Factor z(v).
(v + 1)*(v + 3)**2/10
Let r = -4992 - -14980/3. Factor 0 - 4/3*l**4 + 5*l**3 - r*l - 4*l**2.
-l*(l - 2)**2*(4*l + 1)/3
Factor 216/7 + 2/7*i**3 - 106/7*i**2 - 16*i.
2*(i - 54)*(i - 1)*(i + 2)/7
Let f(j) be the first derivative of -2/35*j**5 + 18 + 8/7*j**3 + 10/7*j - 1/7*j**4 - 2*j**2. Suppose f(z) = 0. Calculate z.
-5, 1
Let k(l) be the first derivative of 2*l**6/27 + 184*l**5/45 + 571*l**4/9 + 3688*l**3/27 - 1144*l**2/9 - 3872*l/9 - 48. What is h in k(h) = 0?
-22, -2, -1, 1
Let r(c) be the third derivative of -c**7/20160 + c**6/1440 - c**5/240 + 5*c**4/8 - 10*c**2. Let w(o) be the second derivative of r(o). Factor w(f).
-(f - 2)**2/8
Let h = 54 + -49. Suppose -3*a - 2*a - 5 = 5*n, -h*a + 5 = -5*n. Suppose 0 + 0*b**4 + 3/2*b**3 + a*b**2 - 3/2*b**5 + 0*b = 0. What is b?
-1, 0, 1
Let r(y) = -7*y**3 - 3*y + 9*y + 0*y**4 + 4*y**4 - 7*y - 10*y**2. Let g(s) = s**4 - s**3 - s**2 - s. Let a(z) = -g(z) + r(z). Solve a(u) = 0.
-1, 0, 3
Let w(p) be the first derivative of 2*p**6/3 - 112*p**5/5 + 132*p**4 + 3584*p**3/3 + 2048*p**2 - 111. Let w(y) = 0. What is y?
-2, 0, 16
Let l(u) = -u**3 + 14*u**2 - 11*u - 17. Let o be l(13). Let r = o - 9. Solve 4/3*f**4 + 0*f**3 + 2/3*f - 2/3*f**5 + r - 4/3*f**2 = 0.
-1, 0, 1
Factor -353*h**2 + 10346 - 30975*h - 40*h**3 + 4183 + 39*h**3 + 5591 + 11209.
-(h - 1)*(h + 177)**2
Let u(w) be the first derivative of -w**5 + 115*w**4/4 - 590*w**3/3 - 480*w**2 + 1440*w - 492. Factor u(p).
-5*(p - 12)**2*(p - 1)*(p + 2)
Let m be ((-585)/468)/((-10)/16). Let w(h) be the third derivative of 0*h**4 + 0 + 1/270*h**6 + 0*h + 0*h**3 + 1/189*h**7 - h**m + 0*h**5. Factor w(r).
2*r**3*(5*r + 2)/9
Let x(n) = -6*n**4 - 28*n**3 + 77*n**2 - 85*n + 27. Let k(p) = 2*p**4 + 14*p**3 - 38*p**2 + 42*p - 14. Let t(b) = -5*k(b) - 2*x(b). Factor t(q).
2*(q - 2)**3*(q - 1)
Suppose 2*l = -2*g, 2*g - l - 6 = 3*l. Suppose 2*r - 3 = g. Factor 4*b + 6 + 3*b - 3*b**r - b - 3*b.
-3*(b - 2)*(b + 1)
Let w(l) = 2*l**2 + 16*l + 32. Let i(g) = -2*g**2 - 16*g - 32. Let b(a) = 2*a**3 - 43*a**2 + 21*a + 4. Let v be b(21). Let p(j) = v*w(j) + 3*i(j). Factor p(z).
2*(z + 4)**2
Let r(n) be the second derivative of -1/40*n**6 + 0 - 1/8*n**3 + 0*n**2 - 3/16*n**4 - 9/80*n**5 - 9*n. Determine d, given that r(d) = 0.
-1, 0
Let p(l) = 8*l - 13. Let x be p(2). Let g(v) be the first derivative of 1/4*v**4 + 0*v + v**2 - x + v**3. Factor g(r).
r*(r + 1)*(r + 2)
Let d be ((-81)/(-48))/(90/120)*(-2)/(-9). Determine o so that 0 - 3/4*o**2 + 0*o**3 + d*o + 1/4*o**4 = 0.
-2, 0, 1
Let s(w) = -4*w**4 - 4*w**3 + 8*w**2 - 6*w - 4. Let z(o) = o**4 - o**2 + 2*o. Let a(g) = s(g) + 5*z(g). What is k in a(k) = 0?
-1, 1, 2
Let a = -341 - -343. Let k(y) be the second derivative of 0 + 5*y + 1/36*y**4 + 3/