g**2*(g - 1)*(g + 1)**2/5
Let x(q) be the second derivative of q**4/12 - 17*q**3/6 - 19*q**2 + 107*q. Factor x(n).
(n - 19)*(n + 2)
Let m = 498 - 1490/3. Let b(g) be the second derivative of -5*g + 26/3*g**3 + 0 - 6*g**2 - m*g**4. Factor b(h).
-4*(h - 3)*(4*h - 1)
Factor -1/4*j**4 + 0*j - 3/4*j**2 + 0 + j**3.
-j**2*(j - 3)*(j - 1)/4
Let a be (-8)/10 - 1595/(-275). Let l(s) be the second derivative of a*s + 1/42*s**4 + 0 - 4/7*s**2 + 4/21*s**3 - 1/70*s**5. Factor l(o).
-2*(o - 2)*(o - 1)*(o + 2)/7
Let c(d) = 2*d**3 + 8*d**2 + 6*d + 2. Let w(n) = 5*n + 17. Let t be w(-4). Let o be c(t). Let 4/3*q + 2/3 + 2/3*q**o = 0. Calculate q.
-1
What is v in -4*v + 4*v**3 + 2*v**2 - v**3 - 2*v**4 + v**3 = 0?
-1, 0, 1, 2
Suppose -z = -3*k + 14, 2*k - 7*z = -12*z - 19. Let i be 14/(2 + (-6)/(-3)). Factor -3/2*c**2 - i*c**4 - 6*c**k + 0 + c.
-c*(c + 1)**2*(7*c - 2)/2
Let b(n) be the first derivative of -3*n**5/5 - 45*n**4 - 1200*n**3 - 12000*n**2 + 29. Factor b(o).
-3*o*(o + 20)**3
Let d(l) be the third derivative of -2*l**7/105 + l**6/3 - 8*l**5/15 - 5*l**4/3 + 6*l**3 - 277*l**2 + 2*l. Find s, given that d(s) = 0.
-1, 1, 9
Let u(c) be the second derivative of c**5/30 + c**4/12 - 2*c**3/3 - 5*c**2 - 9*c. Let q(y) be the first derivative of u(y). Let q(i) = 0. What is i?
-2, 1
Let l(v) be the second derivative of -v**5/4 + 5*v**4/2 + 25*v**3/2 + 20*v**2 - 101*v + 2. Factor l(f).
-5*(f - 8)*(f + 1)**2
Let o(h) = h**3 + 9*h**2 + 45*h + 407. Let f be o(-9). Factor 1/2*n**f + 0 - 1/2*n**3 + 1/2*n - 1/2*n**4.
-n*(n - 1)*(n + 1)**2/2
Let o(y) be the third derivative of -2*y**7/21 - 17*y**6/60 + 7*y**5/25 + y**4/3 - 8*y**3/15 - 362*y**2. Solve o(t) = 0 for t.
-2, -1/2, 2/5
Suppose -5*j = 2*r - 14, -4*j - 10 + 14 = -2*r. Factor -16/3*v + 28/3*v**j - 2*v**3 + 0.
-2*v*(v - 4)*(3*v - 2)/3
Let g(b) be the first derivative of 27*b**7/280 - 3*b**6/8 + 3*b**5/5 - b**4/2 - 7*b**3/3 + 12. Let p(i) be the third derivative of g(i). Factor p(a).
3*(3*a - 2)**2*(3*a - 1)
Let j = 3887/12 - 1285/4. Factor 2*k - j - 1/3*k**2.
-(k - 4)*(k - 2)/3
Let j = -671 - -674. Let y(a) be the third derivative of 0*a + 0*a**j + 4*a**2 + 1/780*a**6 + 0 + 0*a**4 - 1/1365*a**7 + 0*a**5. Factor y(b).
-2*b**3*(b - 1)/13
Let d(f) be the first derivative of 0*f - 3 + 0*f**3 + 0*f**2 + 1/2*f**4 + 2/5*f**5. Let d(z) = 0. Calculate z.
-1, 0
Let v(g) be the first derivative of g**4 + 8*g - 6*g**3 + 6/5*g**5 - 23 + 0*g**2. Factor v(p).
2*(p - 1)**2*(p + 2)*(3*p + 2)
Let y(a) be the third derivative of a**8/1176 - a**7/147 - a**6/30 + 104*a**2. Determine d, given that y(d) = 0.
-2, 0, 7
Factor -34 + 12 - r**2 + 6 - 24*r + 10*r**3 - 4*r**3 - r**4.
-(r - 4)**2*(r + 1)**2
Find c such that 1890*c**2 - 143*c - 1865*c**2 - 214 + 45 - c**3 = 0.
-1, 13
Let l(h) be the second derivative of -h**5/30 + h**4/9 + 7*h**3/9 + 4*h**2/3 + 4*h - 3. Solve l(w) = 0 for w.
-1, 4
Let w be (140/15)/(-14)*(-2 + 3/2). Factor 1/3 - w*v**2 - 1/6*v + 1/6*v**3.
(v - 2)*(v - 1)*(v + 1)/6
Let g(w) be the first derivative of -w**4/6 - 10*w**3/27 + 4*w**2/9 + 8*w/9 - 51. Factor g(n).
-2*(n - 1)*(n + 2)*(3*n + 2)/9
Factor -2/11*q**5 + 0*q**3 + 18/11*q**4 + 0 + 0*q - 216/11*q**2.
-2*q**2*(q - 6)**2*(q + 3)/11
Let p(t) be the first derivative of 4*t**3/3 - 524*t**2 + 68644*t - 277. Factor p(s).
4*(s - 131)**2
Suppose 11 = c - 1. Suppose 7*t = t + c. Solve 9*a + 4*a**2 - 15*a**3 + t*a**2 + 0*a**3 = 0.
-3/5, 0, 1
Let r(k) be the third derivative of -k**8/784 - 6*k**7/245 - 23*k**6/140 - 3*k**5/7 - 25*k**4/56 + 2*k**2 + 29*k. Factor r(x).
-3*x*(x + 1)**2*(x + 5)**2/7
Suppose -12*d + 9*d + 23 = 4*r, 20 = 4*d. Let u(n) be the second derivative of 9*n + 0*n**3 + 0*n**r + 0 - 1/10*n**5 + 1/45*n**6 + 1/9*n**4. Factor u(w).
2*w**2*(w - 2)*(w - 1)/3
Let f(o) = 25*o**2 + 1053*o + 126. Let u be f(-42). Suppose u - 1/2*j**2 + 1/2*j**4 + 1/2*j**3 - 1/2*j = 0. What is j?
-1, 0, 1
Let u(l) = -2*l**4 + 6*l**3 - 3*l**2 + 3*l. Let j(c) = c**4 - 4*c**3 + c**2 - 2*c. Let f(z) = 7*j(z) + 4*u(z). Factor f(d).
-d*(d + 1)**2*(d + 2)
Let d(b) be the third derivative of b**8/112 + 23*b**7/70 + 11*b**6/20 + 83*b**2. Suppose d(t) = 0. Calculate t.
-22, -1, 0
Let d be (0 - 0)/(-8 + 6). Suppose 5*n + d*n = -3*s + 30, -s - 2*n + 11 = 0. Let -4/3*g**2 + 0 + 1/3*g - 4/3*g**4 + 1/3*g**s + 2*g**3 = 0. Calculate g.
0, 1
Let n(v) be the third derivative of -v**6/220 + 2*v**5/55 - v**4/11 - 17*v**2. Find t such that n(t) = 0.
0, 2
Solve 4/5*b + 2/5 + 2/5*b**2 = 0.
-1
Suppose 4/5*h**3 + 8/5*h**2 - 4/5*h - 2/5*h**4 - 6/5 = 0. Calculate h.
-1, 1, 3
Let h(o) be the third derivative of o**9/120960 + o**8/20160 + 3*o**5/20 + 12*o**2. Let b(c) be the third derivative of h(c). Factor b(w).
w**2*(w + 2)/2
Let b be (-21 + 1)/((-8)/4). Suppose -2*z + z = -b. Let -48*s - 16 - 10*s**2 - 36*s**2 + z*s**2 = 0. Calculate s.
-2/3
Let s(a) be the third derivative of a**9/120960 - a**8/80640 - a**7/2520 + a**6/720 - a**5/12 + 5*a**2. Let t(v) be the third derivative of s(v). Factor t(h).
(h - 2)*(h + 2)*(2*h - 1)/4
Let x be 30/4*3/((-45)/(-10)). Factor 36*y**x + 77*y**4 + 52*y**3 - 13*y**4 + 8*y**2 + 32*y**4.
4*y**2*(y + 2)*(3*y + 1)**2
Factor 20172/5*w + 0 + 99*w**3 + 20664/5*w**2 + 3/5*w**4.
3*w*(w + 1)*(w + 82)**2/5
Let u(m) be the third derivative of m**5/12 + 45*m**4/4 + 1215*m**3/2 - 109*m**2. Factor u(t).
5*(t + 27)**2
Let p(c) be the first derivative of 4*c**5/5 + 18*c**4 + 436*c**3/3 + 504*c**2 + 784*c + 55. Let p(b) = 0. What is b?
-7, -2
Let i be 4/(5/(-3) + 3). Suppose 8*y - 5 = i*y - 3*l, 0 = -3*y - 3*l - 3. Solve 2/3*u**2 + 0 + 0*u - 2/3*u**y + 2/3*u**3 - 2/3*u**5 = 0.
-1, 0, 1
Factor 24/5*g**2 + 3/5*g**3 + 0 + 48/5*g.
3*g*(g + 4)**2/5
Suppose -4*u - 4*r = -16, -2*u + 3*r = -4*u + 4. Determine f, given that -276*f + 266*f + 2 + u*f**2 + 2 - 2*f**3 = 0.
1, 2
Suppose 205/4*f**2 - 9/4*f**3 + 0 + 23/2*f = 0. Calculate f.
-2/9, 0, 23
Suppose 0*q - 430 = 5*q - 3*c, -q = -5*c + 86. Let w be (q/18 + 5)/(1/9). Factor -1/3*y**5 + 0*y + 0 + 0*y**3 + 0*y**w + 1/3*y**4.
-y**4*(y - 1)/3
Let r(x) be the second derivative of 2*x**7/105 - 4*x**6/75 - 7*x**5/25 + 8*x**4/15 + 8*x**3/5 - 405*x. Find t such that r(t) = 0.
-2, -1, 0, 2, 3
Let s be (-48)/36*(-15)/50. Factor s*v - 1/5*v**2 - 1/5.
-(v - 1)**2/5
Let j(d) be the first derivative of 0*d + 1/12*d**4 + 1/9*d**3 - 14 - 1/3*d**2. Factor j(r).
r*(r - 1)*(r + 2)/3
Let p(t) be the second derivative of -t**6/240 + t**4/16 - t**3/6 + 3*t**2/2 + t. Let m(y) be the first derivative of p(y). Determine d, given that m(d) = 0.
-2, 1
Let u(t) be the second derivative of -2*t**6/165 - t**5/22 + t**4/22 - 315*t. Determine d, given that u(d) = 0.
-3, 0, 1/2
Suppose 46*p - 40 = 51*p. Let k be p/18 - 236/(-531). Suppose 0*j + k + 3/7*j**2 + 3/7*j**3 = 0. What is j?
-1, 0
Let -109398 - 124*y + 344*y + 109173 + 5*y**2 = 0. What is y?
-45, 1
Let y(m) = 58*m**2 - 60*m + 2. Let z(i) = -111*i**2 - 4 - 4*i**2 + 120*i - 3 + 2. Let r(s) = -11*y(s) - 6*z(s). Factor r(a).
4*(a - 1)*(13*a - 2)
Let p be 195/(-3900) + (-1)/(-20). Let s(l) = -l**3 + 11*l**2 - l + 14. Let f be s(11). Factor -2*t**f + 2/3*t**2 - 2/3*t**5 + 2*t**4 + 0*t + p.
-2*t**2*(t - 1)**3/3
Let j be (173/1903)/(4/11). Factor 0 + j*r**2 - 3/4*r.
r*(r - 3)/4
Let n(g) be the first derivative of 3*g**6/8 + 129*g**5/20 + 28*g**4 + 154*g**3/3 + 46*g**2 + 20*g + 740. Determine v, given that n(v) = 0.
-10, -2, -1, -2/3
Let v(p) be the third derivative of p**6/600 - 9*p**4/40 + 9*p**3/5 + 2*p**2 + 141*p. Let v(a) = 0. What is a?
-6, 3
Suppose -23/5*w - 14/5 - 2*w**2 - 1/5*w**3 = 0. What is w?
-7, -2, -1
Let l be 15/(-6)*(6 - 204/30). Let k = 13/17 - 14/85. What is b in 0 + 3/5*b**4 + k*b + 9/5*b**l + 9/5*b**3 = 0?
-1, 0
Let j be 16/((-8)/(-2)) - -2. Suppose 4*g - 2 - j = 0. Find x, given that -x**2 + 26*x - 2*x**3 + x**5 - 25*x + x**g = 0.
-1, 0, 1
Find s, given that -1/3*s**4 + 5/3*s**3 - 4/3*s + 5/3*s**2 - 4/3 - 1/3*s**5 = 0.
-2, -1, 1, 2
Let l be 226/(-21) + -3 + 2. Let v = l + 37/3. Solve 2/7*i + v - 2/7*i**3 - 4/7*i**2 = 0.
-2, -1, 1
Let i(c) = 6*c - 3. Let a be i(2). Let -10*l**2 + 10*l**2 + 7*l**2 + 3*l - l**2 - a*l**3 = 0. What is l?
-1/3, 0, 1
Let g(d) be the first derivative of -d**8/4480 + d**7/2240 - 9*d**3 + 28. Let j(t) be the third derivative of g(t). Find i, given that j(i) = 0.
0, 1
Factor 0 + 2/7*l**3