et w = 58/21 - 211/84. Let s(v) be the second derivative of 0 + 0*v**3 - 6*v - 1/10*v**5 + w*v**4 - 1/30*v**6 + 0*v**2. Factor s(g).
-g**2*(g - 1)*(g + 3)
Let t be 2*2*-3 + 0. Let u = t + 14. Factor 3*a + 2*a**2 + 0*a**u - 5*a**2.
-3*a*(a - 1)
Let h(a) be the first derivative of 40 - 1/2*a**6 + 0*a - 21/4*a**4 + 0*a**2 + 3*a**3 + 3*a**5. Factor h(l).
-3*l**2*(l - 3)*(l - 1)**2
Suppose -3*b - 19*p + 38 = -24*p, b - p = 10. Suppose -63 + 81 = b*x. Let -6/13*i - 6/13*i**2 - 2/13 - 2/13*i**x = 0. What is i?
-1
Let b(l) be the second derivative of -2*l**7/525 - l**6/30 - 2*l**5/25 - 12*l**2 - 39*l. Let g(q) be the first derivative of b(q). Factor g(f).
-4*f**2*(f + 2)*(f + 3)/5
Solve 8/7*i - 6/7*i**2 - 4/7*i**3 + 8/7 + 2/7*i**4 = 0 for i.
-1, 2
Suppose -48 = 22*h - 46*h. Suppose -8/11*d + 2/11*d**h + 8/11 = 0. Calculate d.
2
Suppose -66*a = -233*a + 334. Find c such that 2/3*c**3 + 2*c - a*c**2 - 2/3 = 0.
1
Let c be 2 - ((-8)/(-2) + -10). Suppose -41*f - c = -45*f. Factor -4/9*x**f + 0*x**3 - 2/9*x**5 + 4/9*x**4 + 0 + 2/9*x.
-2*x*(x - 1)**3*(x + 1)/9
Let z be 9/(-252)*-8 + 0/(-1). Let q(c) be the first derivative of z*c - 1/7*c**4 - 5 + 0*c**3 + 2/7*c**2 - 2/35*c**5. Factor q(a).
-2*(a - 1)*(a + 1)**3/7
Suppose j**3 + 8*j - 15*j**2 + 25*j**2 - 10*j**4 + 9*j**4 = 0. Calculate j.
-2, -1, 0, 4
Find q such that -1600/7*q + 4/7*q**4 - 164/7*q**3 + 1760/7*q**2 + 0 = 0.
0, 1, 20
Let r(a) be the first derivative of 2*a**5/5 + 4*a**4 + 4*a**3 - 40*a**2 + 50*a + 162. Factor r(v).
2*(v - 1)**2*(v + 5)**2
Determine k, given that -5/4*k**3 + 1/2*k**4 + 0*k + 1/2*k**2 + 0 = 0.
0, 1/2, 2
Let h = -4381/6090 + 21/29. Let q(n) be the third derivative of 0*n + h*n**6 - 6*n**2 + 0*n**4 - 1/245*n**7 + 0*n**3 + 1/210*n**5 + 0. Factor q(u).
-2*u**2*(u - 1)*(3*u + 1)/7
Let z(k) = -k**3 + 6*k**2 - 2*k. Let b be z(6). Let j be -32*(-2 - b/8). Factor -j*c - 6 - 5 + 3 + 2 + 6*c**2.
2*(c - 3)*(3*c + 1)
What is v in 3*v**5 - 20*v - 17*v**2 - 3*v**3 + 11*v - 7*v**2 - 15*v**3 = 0?
-1, 0, 3
Let n be (-1)/(-414)*-1*(453 + -1). Let u = -20/23 - n. Suppose 0*x - 2/9*x**2 + u = 0. What is x?
-1, 1
Let i(y) be the third derivative of -1/18*y**3 + 0*y + 1/1260*y**7 + 16*y**2 + 0 - 1/48*y**4 + 1/240*y**6 + 1/360*y**5. Factor i(h).
(h - 1)*(h + 1)**2*(h + 2)/6
Let o = -3137 - -28237/9. What is z in 4/9*z**2 - o + 2/9*z - 2/9*z**3 = 0?
-1, 1, 2
Let 3/5*t**3 - 129/5*t - 12*t**2 - 66/5 = 0. What is t?
-1, 22
Solve 18273 + 3828*u - 7935*u + 111*u**2 + 32380 - u**3 = 0 for u.
37
Let c(f) = -7*f**2 + 21*f - 98. Let b(g) = -2*g**2 - 6*g - 1. Let q(x) = -4*b(x) + c(x). Determine t so that q(t) = 0.
-47, 2
Factor -24565/4*q**3 - 10 - 4335/2*q**2 - 255*q.
-5*(17*q + 2)**3/4
Factor -84 - 6/7*m**3 - 96/7*m**2 - 66*m.
-6*(m + 2)*(m + 7)**2/7
Let j = 7843/12 + -654. Let b = j - -2/3. Find g such that 0*g + 0 + b*g**2 + 1/4*g**3 = 0.
-1, 0
Let a(r) be the first derivative of 90*r**5 - 555*r**4 + 2258*r**3/3 + 592*r**2 + 128*r + 8. Factor a(v).
2*(3*v - 8)**2*(5*v + 1)**2
Let m(r) be the first derivative of -1/4*r**4 - 31 - 4*r**2 + 4*r + 5/3*r**3. Factor m(t).
-(t - 2)**2*(t - 1)
Let u be (2/(-3))/(200/(-3390)). Let o = -54/5 + u. Factor 0*w - o*w**2 + 0 - 5/4*w**3 - w**4 - 1/4*w**5.
-w**2*(w + 1)**2*(w + 2)/4
Suppose y = 3*y + 12. Let w be 2 - y/(-20)*(-25)/(-5). What is b in -w*b**3 + 0 + 0*b + 1/2*b**5 + 1/4*b**4 - 1/4*b**2 = 0?
-1, -1/2, 0, 1
Let a be ((-40)/25)/((-8)/20). Suppose -4*o + 16 = 0, -2*x - a*o - o + 24 = 0. Solve x*j**2 + 8*j**3 - 12*j**2 + 7*j - 11*j - 4*j**2 = 0.
-1/4, 0, 2
Let q be (-18)/225*1*(-5)/2. Solve 3/5*k**2 + q - 1/5*k**3 - 3/5*k = 0 for k.
1
Let m(w) be the first derivative of w**6/42 - 6*w**4/7 + 64*w**3/21 - 24*w**2/7 + 164. Factor m(d).
d*(d - 2)**3*(d + 6)/7
Let y(t) be the third derivative of -t**9/12096 + t**8/1344 - t**7/504 - 7*t**5/60 - 11*t**2. Let x(b) be the third derivative of y(b). Factor x(r).
-5*r*(r - 2)*(r - 1)
Let f(g) = g**3 + g**2 - g + 1. Let n(o) = 8*o**3 + 32*o**2 - 28*o + 12. Suppose -11*u + 2*u = -108. Let t(p) = u*f(p) - n(p). Find z such that t(z) = 0.
0, 1, 4
Find c, given that -31/3*c**2 + 11/3*c**3 + 0 - 1/3*c**4 + 7*c = 0.
0, 1, 3, 7
Let h(f) be the first derivative of -f**5/5 - f**4/4 + 7*f**3/3 + f**2/2 - 6*f + 91. Determine s so that h(s) = 0.
-3, -1, 1, 2
Let h(j) = -16*j**4 + 8*j**3 + 14*j**2 + 5. Let f(z) = 19*z**4 - 9*z**3 - 15*z**2 + z - 6. Let d(i) = -5*f(i) - 6*h(i). Factor d(r).
r*(r - 5)*(r + 1)**2
Suppose -12/7*y**3 - 8/7*y**2 + 4/7*y**4 + 26/7*y - 12/7 + 2/7*y**5 = 0. Calculate y.
-3, -2, 1
Let p(h) = -13*h**3 + h**2 - 3*h - 1. Let o be p(-2). Let u = -449/4 + o. Solve -u*m + 3/4*m**3 + 0 + 3/4*m**4 - 3/4*m**2 = 0 for m.
-1, 0, 1
Let w(r) = r**5 + 15*r**4 - 16*r**2. Let x(j) = -15*j**4 + 15*j**2. Let i(o) = 5*w(o) + 4*x(o). Factor i(l).
5*l**2*(l - 1)*(l + 2)**2
Suppose -2*x - 3 = -5. Let v be (8 + x)/((-30)/(-200)). Factor 2*i**2 + 51*i - v*i + 6 + i**2.
3*(i - 2)*(i - 1)
Let r = -209/58 - -235/29. Let 3/2*u**2 - 6*u + r = 0. Calculate u.
1, 3
What is g in -9/4 + 5/2*g**3 - 6*g + 23/4*g**2 = 0?
-3, -3/10, 1
Let l(b) be the third derivative of -b**6/420 + b**5/210 + b**4/84 - b**3/21 + 5*b**2 + 8*b. Factor l(x).
-2*(x - 1)**2*(x + 1)/7
Let h = 17065 + -17063. Let -3/2*n**h - 12 - 9*n = 0. What is n?
-4, -2
Suppose -2*t + 2*g + 21 = 3*t, -3*t + 4*g + 7 = 0. Suppose 0 = -r - 0 + t, 2*r - 10 = n. Solve 0*w - 2/15*w**4 + 0 + n*w**2 + 0*w**3 = 0 for w.
0
Let q(k) be the second derivative of -k**4/24 + k**3/4 - k**2/2 + k - 2. Let q(x) = 0. Calculate x.
1, 2
Let l be 2124/(-8)*(130/(-35) + 4). Let z = l + 76. Factor -3/7*q**2 - 3/7*q - 1/7 - z*q**3.
-(q + 1)**3/7
Suppose 4*f + 26 = -2*q + 220, -5*f + 238 = 4*q. Let x be (-24)/f*(-45)/6. Factor 3/5*l**2 + x*l + 27/5.
3*(l + 3)**2/5
Let m(s) be the second derivative of s**5/90 + 25*s**4/54 + 8*s**3/9 + 264*s - 2. Find x such that m(x) = 0.
-24, -1, 0
Determine h, given that 0*h**2 - 19*h + 30*h**2 + 0*h**2 + 3*h**3 - 14*h = 0.
-11, 0, 1
Let w(h) = 10*h**2 - 5*h. Let v(m) = -3*m**2 + 2. Let d(l) = 6*v(l) + 2*w(l). Factor d(q).
2*(q - 3)*(q - 2)
Let f be 13 - 6/(0 + -2). Let q be f/(-28)*28/(-40). Factor -2/5*k**2 + 2/5*k + q - 2/5*k**3.
-2*(k - 1)*(k + 1)**2/5
Suppose 18*j**4 - 9*j**4 + 249*j - 5 + 141*j**3 + 47 - 10*j**4 - 11*j**4 + 360*j**2 = 0. Calculate j.
-1, -1/4, 14
Let n = -1510/3 + 3023/6. Let 0*c + 0*c**2 - 1/2*c**3 + 0 + n*c**4 = 0. Calculate c.
0, 1
Let b be -1*(-1 - (-6 - -3)). Let q(k) = 10*k**2 - 3*k - 7. Let d(j) = -3*j**2 + j + 2. Let c(g) = b*q(g) - 7*d(g). Suppose c(y) = 0. Calculate y.
0, 1
Let t(n) be the first derivative of -n**6/3 - 3*n**5/5 + n**3/3 + 45. Factor t(o).
-o**2*(o + 1)**2*(2*o - 1)
Let n(m) = m + 11. Let j be n(-8). Let v = j - 1. Let 3 - 3 - c - v*c**3 + 3*c = 0. Calculate c.
-1, 0, 1
Let q(x) be the third derivative of 1/840*x**6 + 0*x + 1/1470*x**7 + 0 + 1/21*x**3 - 1/168*x**4 - 1/140*x**5 - 13*x**2. What is j in q(j) = 0?
-2, -1, 1
Suppose -23*q + 44 = -2. Let w(a) be the first derivative of 1/12*a**4 - 9*a - 5 + 9/2*a**q - a**3. Factor w(v).
(v - 3)**3/3
Factor -16*u - 12*u**3 - 25*u**5 + 29*u**5 + 8*u**4 - 5*u**2 - 27*u**2.
4*u*(u - 2)*(u + 1)**2*(u + 2)
Let q be (-198)/1287 - 41/(-13). Let u(v) be the second derivative of 0*v**q + 0*v**4 - 7*v + 0*v**2 + 3/100*v**5 + 0. Factor u(s).
3*s**3/5
Let f(q) be the first derivative of q**7/2520 - q**6/216 + q**5/45 - q**4/18 - 13*q**3/3 - 1. Let n(m) be the third derivative of f(m). Factor n(b).
(b - 2)**2*(b - 1)/3
Let r = 8701/26067 + -4/8689. Find p such that r*p**3 - 1/3*p - 4/3 + 4/3*p**2 = 0.
-4, -1, 1
Find f such that -2/3*f**5 + 2*f**3 - 4/3*f - 2/3*f**2 + 2/3*f**4 + 0 = 0.
-1, 0, 1, 2
Let y(h) be the second derivative of 0*h**2 - 125/24*h**3 - 25/16*h**4 - 46*h - 1/24*h**6 + 9/16*h**5 + 1. Find n, given that y(n) = 0.
-1, 0, 5
Let f(n) = 2*n**2 - 5*n + 4. Let t be f(5). Let q = t + -29. Factor -6/5*p**4 - 2/5*p**2 + q*p + 2/5*p**5 + 0 + 6/5*p**3.
2*p**2*(p - 1)**3/5
Let y = -18 - -22. Factor -a**2 - 16*a**3 + y*a**2 + 13*a**3.
-3*a**2*(a - 1)
Let o(t) be the third derivative of -1/12*t**4 + 0*t**3 + 0 + 0*t + 1/30*t**5 + 35*t**2. Let o(s) = 0. What is s?
0, 1
Let d(u) = -10*u**2 - 179*u + 18. Let z be d(-18). Factor 2/9 - 2/9*r**2 + z*r.
-2*(r - 1)*(r + 1)/9
Suppose -2*a = 2*a - a. Let y 