uppose -3*n + 3 = -6*n, 3*u = n + 1. Suppose 0 = -a - u*a + 3. Factor 0*i**5 + 3*i**3 - a*i**5 + 3*i**3 - 3*i**4.
-3*i**3*(i - 1)*(i + 2)
Let n(d) = d - 2. Let c be n(-3). Let p be (2/10)/((-4)/c). What is g in -1/4*g**2 - p*g + 1/4*g**3 + 1/4 = 0?
-1, 1
Let v(u) be the second derivative of -u**4/24 - 13*u**3/6 - 25*u**2/4 + 164*u. Factor v(j).
-(j + 1)*(j + 25)/2
Let f be (-9 + 16)*(2 - 82/42). Factor 1/3*g + f*g**2 - 2/3.
(g - 1)*(g + 2)/3
Let h = 197/534 + -18/89. Let g(x) be the second derivative of 0*x**4 - 1/20*x**5 + h*x**3 + 0 - 2*x + 0*x**2. Factor g(w).
-w*(w - 1)*(w + 1)
Let z(n) = 4*n**4 - 16*n**3 - 177*n**2 - 162*n + 342. Let u(o) = -2*o**4 + 8*o**3 + 88*o**2 + 80*o - 170. Let s(t) = -9*u(t) - 4*z(t). Solve s(r) = 0 for r.
-3, 1, 9
Let u = 62 + -57. Let i be (-1)/(-7) - (111/(-21) + u). Factor -i*p - 3/7*p**4 + 0 + 3/7*p**2 + 3/7*p**3.
-3*p*(p - 1)**2*(p + 1)/7
Suppose -114*s = -109*s + 3*a - 36, 0 = -3*s + 2*a - 5. Find j such that 0 + 4/7*j**s + 20/7*j + 24/7*j**2 = 0.
-5, -1, 0
Let g = -80 + 83. Suppose t - 7 = -u - 2, -2*u + 5 = -g*t. Factor -1/2*i**5 - 17/10*i**u - 1/5*i - 21/10*i**3 - 11/10*i**2 + 0.
-i*(i + 1)**3*(5*i + 2)/10
Let m(r) be the first derivative of 12 + 23/7*r**2 - 9/14*r**4 - 40/21*r**3 + 12/7*r. Factor m(a).
-2*(a - 1)*(a + 3)*(9*a + 2)/7
Let h(w) be the third derivative of -w**6/3 + 5*w**5/12 + 95*w**4/24 + 5*w**3 - 4*w**2. Factor h(z).
-5*(z - 2)*(z + 1)*(8*z + 3)
Let n(d) = 5*d**5 - 5*d**3 - 5*d**2 + 5. Let x(m) = 5*m**5 - 5*m**3 - 6*m**2 + 6. Let s(b) = -6*n(b) + 5*x(b). Factor s(a).
-5*a**3*(a - 1)*(a + 1)
Factor -9 + 6*k - 87*k**3 + k**4 + 81*k**3 + 2*k**4 + 6.
3*(k - 1)**3*(k + 1)
Let b be ((-8)/(-96) + (-5)/20)/(-1). Factor 1/6*w**2 - 1/6*w - 1/6 + b*w**3.
(w - 1)*(w + 1)**2/6
Let s(x) be the second derivative of -2/17*x**2 - 1/357*x**7 + 7/51*x**3 - 11*x - 4/51*x**4 + 2/255*x**6 + 0 + 1/85*x**5. Factor s(a).
-2*(a - 1)**4*(a + 2)/17
Let v(w) be the second derivative of w**7/42 - w**6/15 - 3*w**5/20 + 2*w**4/3 - 2*w**3/3 - 111*w. Let v(r) = 0. Calculate r.
-2, 0, 1, 2
Let s be 672/945 + (-20)/45. Solve 0*p + 0 + 2/15*p**2 - s*p**3 + 2/15*p**4 = 0.
0, 1
Find t such that -3/2*t**2 + 0 - t - 1/2*t**3 = 0.
-2, -1, 0
Let o be ((-1)/((-12)/(-33068)))/(33/(-9)). Let g = -751 + o. Let -8/11*t - g - 2/11*t**2 = 0. Calculate t.
-3, -1
Let s(p) = p**3 - 16*p**2 - 5*p + 83. Let o be s(16). Determine u, given that -u**2 + 9*u**4 + o*u**5 - 4*u + 23/3*u**3 - 4/3 = 0.
-1, -2/3, 2/3
Suppose -f + 4*b = 4, -75*b + 6 = 2*f - 76*b. Let q(g) be the first derivative of 5/2*g**f + 4*g**2 - 2/5*g**5 + 6 + 0*g - 16/3*g**3. Solve q(x) = 0 for x.
0, 1, 2
Factor -9*k - 488 - 16*k**2 - 7*k + 488 - 4*k**3.
-4*k*(k + 2)**2
Factor 668/17*d + 2/17*d**2 + 55778/17.
2*(d + 167)**2/17
Let g = 467/2980 + -1/149. Let q(p) be the second derivative of -7/36*p**4 - 1/9*p**3 + g*p**5 + 0*p**2 - 3*p + 0. Find s, given that q(s) = 0.
-2/9, 0, 1
Let f = 1450 - 152249/105. Let h(p) be the third derivative of 0*p - 2/21*p**4 + 0 + f*p**5 + 2/7*p**3 - 4*p**2. Factor h(b).
4*(b - 3)*(b - 1)/7
Suppose 0 = 24*m - 9*m - 180. Factor 16*x**3 - 3*x - 38*x - m*x**2 + 4*x**4 - 15*x - 32.
4*(x - 2)*(x + 1)**2*(x + 4)
Let q(p) = p**5 + p**3 - p**2 + 1. Let z(x) = 2*x**5 + 5*x**3 - 3*x**2 - x + 3. Let s(r) = -3*q(r) + z(r). Factor s(j).
-j*(j - 1)**2*(j + 1)**2
Let k(d) = d**3 - 7*d**2 - 20*d + 16. Let m be k(9). Let t be ((-26)/(-39))/(m/(-12)). Solve 0*s - 2/11*s**t + 0*s**2 + 0 + 2/11*s**3 = 0 for s.
0, 1
Suppose -2*w = w - i - 41, 2*w - 5*i - 49 = 0. Suppose 14*c + w = 18*c. Factor 4*v**c + 3*v**3 + 2*v**4 - 5*v**3 - v**4.
v**3*(v + 2)
Let n(c) be the first derivative of c**7/105 + c**6/60 + 7*c**2 - 14. Let w(y) be the second derivative of n(y). What is g in w(g) = 0?
-1, 0
Let w(k) be the second derivative of k**7/105 - k**6/15 + k**5/10 + k**4/3 - 4*k**3/3 + 3*k**2/2 + k. Let y(p) be the first derivative of w(p). Factor y(q).
2*(q - 2)**2*(q - 1)*(q + 1)
Let y(s) be the third derivative of -1/12*s**6 - 1/42*s**7 + 0*s**3 + 5/12*s**4 + 0*s + 1/12*s**5 - s**2 + 0. Suppose y(a) = 0. Calculate a.
-2, -1, 0, 1
Suppose 3*u - 21 + 9 = 0, -4*x - 3*u + 24 = 0. Let c(n) be the third derivative of 0*n**5 + 0 + 1/840*n**6 + 4*n**2 + 0*n**4 + 0*n**x + 0*n. Factor c(h).
h**3/7
Suppose -g - 19 = -n - 6*g, -2*g + 6 = 0. Solve 8*m - m**3 - 10*m**2 + 9*m**3 - 9*m - 13*m + n = 0.
-1, 1/4, 2
Factor -2*m**4 - 264*m + 6907 + 80*m**2 - 6727 - 2*m**4 + 8*m**3.
-4*(m - 3)**2*(m - 1)*(m + 5)
Factor -532/3*h**3 - 2/3*h**5 - 174*h + 46*h**4 + 130/3 + 788/3*h**2.
-2*(h - 65)*(h - 1)**4/3
Let a = 238 - 238. Let v(x) be the third derivative of -4*x**2 - 1/96*x**4 + a - 1/160*x**6 + 0*x**3 - 1/80*x**5 + 0*x - 1/840*x**7. What is k in v(k) = 0?
-1, 0
Suppose -12*i = -0 - 12. Let y be i/(5/30) - 2. Factor -6/7*w**y + 9/7*w + 1/7*w**5 - 16/7*w**2 - 2/7 + 2*w**3.
(w - 2)*(w - 1)**4/7
Let m(y) = -7*y**3 - 2*y**2 + 45*y + 200. Let t(q) = 6*q**3 + 4*q**2 - 42*q - 200. Let o(r) = -4*m(r) - 5*t(r). Find u, given that o(u) = 0.
-5, 4
Let q(o) be the second derivative of -21*o**5/80 - 23*o**4/16 + 11*o**3/4 + 3*o**2 - 3*o + 10. Factor q(c).
-3*(c - 1)*(c + 4)*(7*c + 2)/4
Let g be (0*(-4 - -3))/1. Factor 4*v - 8*v**3 + v**3 + 4 - 9*v**2 + g*v + 8*v.
-(v - 1)*(v + 2)*(7*v + 2)
Let n(b) be the third derivative of -b**5/150 - 13*b**4/60 - 2*b**3 - 426*b**2. Suppose n(o) = 0. What is o?
-10, -3
Let f(i) be the third derivative of -i**7/42 - 5*i**6/24 - 7*i**5/12 - 5*i**4/8 - 145*i**2. Factor f(r).
-5*r*(r + 1)**2*(r + 3)
Let k(j) be the second derivative of j**4/12 - 5*j**3/6 - 3*j**2 + 12*j. Let n(y) = -5*y**2 + 30*y + 35. Let d(c) = -35*k(c) - 6*n(c). Factor d(p).
-5*p*(p + 1)
Let p(v) be the third derivative of -v**7/35 + 7*v**6/60 + 3*v**5/5 + 2*v**4/3 - 34*v**2. Factor p(n).
-2*n*(n - 4)*(n + 1)*(3*n + 2)
Suppose -5 = -0*b + b - 2*c, 5*c = 3*b + 10. Factor 2*j + b - j - 1 - 2 - j**2.
-(j - 2)*(j + 1)
Let f(n) = 0*n**2 - 4*n**3 + 6*n**2 - 2 - 2*n**2 + 5*n**3 + 2*n. Let k be f(-2). Determine s so that -3*s**k + s + 6*s**2 - 4*s = 0.
0, 1
Let y = 2004631/179 - 11199. Let w = 5618/1969 + y. Factor -w + 16/11*h - 2/11*h**2.
-2*(h - 4)**2/11
Factor 28/9*g - 64/9 + 2/9*g**2.
2*(g - 2)*(g + 16)/9
Let w(b) be the second derivative of b**6/135 - 19*b**5/90 + 17*b**4/27 - 2*b - 78. Find v such that w(v) = 0.
0, 2, 17
Let i(t) = -3*t**2 - 2*t. Let n(x) = -28*x**2 - 80*x. Let w(r) = -8*i(r) + n(r). Suppose w(c) = 0. What is c?
-16, 0
Suppose -5*i - 41 + 1 = 0. Let o be (-32)/6*12/i. Factor -q**3 + 4*q + 2 + q**2 + 3*q**2 - o*q - q.
-(q - 2)*(q - 1)**2
Suppose 9*i = 14*i - 10. Suppose 6 + 12*w**4 + 60*w**i - 75*w**3 + 36*w + 119*w**3 + 2 = 0. What is w?
-1, -2/3
Let r(z) be the first derivative of -4*z**3/3 + 156*z**2 - 6084*z - 400. Determine q so that r(q) = 0.
39
Let a(n) be the second derivative of -n**4/18 + n**3/3 + 4*n**2/3 + 121*n. Let a(s) = 0. Calculate s.
-1, 4
Let i(w) = -6*w**5 - 12*w**4 + 60*w**2 + 57*w. Let m(d) = 5*d**5 + 13*d**4 + d**3 - 61*d**2 - 56*d. Let s(v) = 2*i(v) + 3*m(v). Factor s(q).
3*q*(q - 2)*(q + 1)*(q + 3)**2
Suppose 0 = -y + 2*b - 6, -3*y - 6 = -4*b + 4. Let a be (3/8*y)/(195/40). Factor -8/13 - a*s**2 + 10/13*s.
-2*(s - 4)*(s - 1)/13
Find q, given that 4/15*q**3 - 2/15*q**4 + 2/15 + 0*q**2 - 4/15*q = 0.
-1, 1
Let r = -1737 + 1740. Let 0 + 2/5*b**r + 2/5*b**2 - 2/5*b**4 - 2/5*b = 0. Calculate b.
-1, 0, 1
Factor 366/5*x**2 - 3/5*x**3 - 723/5*x + 72.
-3*(x - 120)*(x - 1)**2/5
Let q be (-21 + 30)*(-4)/(-18). Factor 1/4*b**q + 1/4 - 1/2*b.
(b - 1)**2/4
Let d(l) be the first derivative of -l**5 - 40*l**4 - 600*l**3 - 4000*l**2 - 10000*l - 69. Find b, given that d(b) = 0.
-10, -2
Let c = 2539/66 + -423/11. Let n(x) be the second derivative of c*x**4 - 1/33*x**3 - 1/11*x**2 + 0 + 1/110*x**5 - 10*x. Find k such that n(k) = 0.
-1, 1
Let n(g) = -g**2 - 104*g + 1788. Let s be n(-119). Find b such that -4/11*b**s + 2/11*b**2 + 1/11*b + 3/11*b**5 + 0 - 2/11*b**4 = 0.
-1, -1/3, 0, 1
Let k(l) be the third derivative of -1/40*l**6 + 0 + 5/16*l**4 - 1/40*l**5 - 1/2*l**3 + 0*l - 12*l**2. Solve k(x) = 0.
-2, 1/2, 1
Let p(b) be the first derivative of 0*b**3 - 1/140*b**5 + 0*b - 1/56*b**4 - 3*b**2 + 3. Let q(m) be the second derivative of p(m). Factor q(g).
-3*g*(g + 1)/7
Let b be (-2)/(-4)*