 = 4507/5 - 901. Let q(f) be the first derivative of 2/5*f**2 + 2/15*f**3 + k*f - 2. Factor q(s).
2*(s + 1)**2/5
Let l(f) be the second derivative of -f**7/378 - f**6/135 + f**5/30 + f**4/27 - 13*f**3/54 + f**2/3 - 31*f. What is y in l(y) = 0?
-3, -2, 1
Let h(b) be the third derivative of -b**8/1008 + b**6/90 + b**5/90 - b**4/24 - b**3/9 + 37*b**2. Determine q, given that h(q) = 0.
-1, 1, 2
Let i(n) = 3*n**2 + 22*n - 34. Let a(t) = 4*t**2 + 25*t - 33. Let h(w) = -2*a(w) + 3*i(w). Factor h(l).
(l - 2)*(l + 18)
Let y be 1*(-10)/(-32) - 23/92. Let j = 59/80 + y. Solve -j*g**2 + 0*g + 0 = 0 for g.
0
Suppose -4*h = 4 - 12. Let p be 7/2 - 1/h. Factor 4*l - 17*l**3 + 8*l**p - 3*l**4 + 8*l.
-3*l*(l - 1)*(l + 2)**2
Suppose 0 = 193*q - 194*q + 4. Let f(a) be the first derivative of 2*a**2 - 8/3*a**3 + a**q + 0*a + 7. Factor f(j).
4*j*(j - 1)**2
Let h(p) be the first derivative of 2*p**6/3 + 52*p**5/5 + 64*p**4 + 592*p**3/3 + 320*p**2 + 256*p - 617. Find q, given that h(q) = 0.
-4, -2, -1
Let x = 117 - 113. Suppose -x*y = -5 - 7. What is r in 0 + 0*r**2 + 0*r + 2/9*r**y = 0?
0
Let u = 233 - 233. Let f(k) be the second derivative of -1/15*k**6 - k + 0*k**3 + u*k**4 - 1/10*k**5 + 0*k**2 + 0. Factor f(m).
-2*m**3*(m + 1)
Factor -1201924*b + 25*b**3 + 20*b**3 - 5*b**4 + 50*b**2 + 1201924*b.
-5*b**2*(b - 10)*(b + 1)
Let p = -642 + 642. Let c(z) be the second derivative of p - 2*z - 1/12*z**4 + 1/20*z**5 + 0*z**2 - 1/6*z**3 + 1/30*z**6. Determine q, given that c(q) = 0.
-1, 0, 1
Let g(t) be the third derivative of -t**6/40 + t**5/10 + 13*t**4/8 + 5*t**3 - 172*t**2. Factor g(l).
-3*(l - 5)*(l + 1)*(l + 2)
Let a(u) be the first derivative of u**6/9 + 2*u**5/3 - u**4 + 117. Factor a(q).
2*q**3*(q - 1)*(q + 6)/3
Let j = -1998 + 2000. Factor 1/4*z**j + 0*z - 1/4.
(z - 1)*(z + 1)/4
Let x(q) = q**3 + 10*q**2 + 22*q - 8. Let i be x(-6). Let m(n) = n**3 + 5*n**2 + 5*n + 7. Let t be m(-4). Factor 0 + 0*r**2 + 0*r + r**t + 1/2*r**i.
r**3*(r + 2)/2
Let q(v) be the first derivative of v**6/3600 - 13*v**5/600 + 169*v**4/240 - v**3/3 - 27. Let r(o) be the third derivative of q(o). Suppose r(k) = 0. What is k?
13
Let x(j) be the second derivative of -j**5/5 + j**4 + 6*j**3 + 10*j**2 - 6*j. Factor x(n).
-4*(n - 5)*(n + 1)**2
Let b be 1/10 + 144/480. Let c = 46 - 216/5. Factor b + 12/5*l - c*l**2.
-2*(l - 1)*(7*l + 1)/5
Suppose -25 = 5*i, g - 5 = i - 0*i. Let x(d) be the third derivative of 0*d + g - 1/24*d**3 + 1/80*d**5 - 8*d**2 + 1/48*d**4. Determine a so that x(a) = 0.
-1, 1/3
Let v = -8 + 11. Suppose v*a + 0*a = 9. Factor t**a - 4*t**3 + 0*t**3.
-3*t**3
Suppose 84*a + 241 = 409. Factor -6*t**a - 6*t**3 - 3 + 21/2*t.
-3*(t + 2)*(2*t - 1)**2/2
Factor -1/3*q**2 - 196/3 + 28/3*q.
-(q - 14)**2/3
Let z(h) be the first derivative of h**3/6 + 3*h**2/2 - 27*h/2 - 146. Factor z(b).
(b - 3)*(b + 9)/2
Let z(t) be the first derivative of -t**4 + 32*t**3/3 - 14*t**2 - 86. Factor z(x).
-4*x*(x - 7)*(x - 1)
Let p(s) be the first derivative of -s**5/25 + s**4/5 - s**3/15 - 3*s**2/5 + 349. Factor p(i).
-i*(i - 3)*(i - 2)*(i + 1)/5
Let c(f) be the first derivative of -f**5/10 - f**4/6 + 5*f**3/3 - 3*f**2 - 24*f + 22. Let n(j) be the first derivative of c(j). Let n(u) = 0. Calculate u.
-3, 1
Let h be (2/(-14))/((-4)/(-2612)). Let a = -93 - h. Determine v, given that 8/7*v**3 - 2*v**2 + 4/7*v + a = 0.
-1/4, 1
Determine r so that -1 + 11177*r**5 - 320*r**2 - 11127*r**5 + 535*r**3 - 295*r**4 + 60*r + 1 = 0.
0, 2/5, 1/2, 2, 3
Let s(i) = -i**2 - 24*i - 22. Let p be s(-14). Let q = -586/5 + p. Suppose 0 - 16/5*v**2 - 16/5*v - q*v**3 = 0. Calculate v.
-2, 0
Let x(c) = -4*c + 5*c + 4 + 0*c - 6. Let l be x(5). Find q such that -18*q**l - 2 - 5*q + 2*q**2 + 17*q**3 - 6*q**2 = 0.
-2, -1
Let t(z) be the second derivative of -z**7/273 - 2*z**6/65 + z**5/65 + 2*z**4/13 - z**3/39 - 6*z**2/13 + 178*z. Let t(u) = 0. What is u?
-6, -1, 1
Factor 310*h**4 - 621*h**4 - 16*h + 307*h**4 + 12*h**3.
-4*h*(h - 2)**2*(h + 1)
Suppose 44 = 26*t - 112. Let m(y) be the second derivative of 0 + 0*y**3 + 0*y**2 + 10*y + 5/6*y**4 - 1/6*y**t + 1/4*y**5. Factor m(n).
-5*n**2*(n - 2)*(n + 1)
Let c(k) = 2*k**5 + 3*k**4 + k**3 - 4*k**2 + 1. Let i(d) = -3*d**5 - 3*d**4 - d**3 + 3*d**2. Let b(n) = -4*c(n) - 3*i(n). Factor b(u).
(u - 2)**2*(u - 1)*(u + 1)**2
Factor -16*b**2 + 6 - 25/3*b - 5/3*b**3.
-(b + 1)*(b + 9)*(5*b - 2)/3
Let x = 591 - 588. Let d(n) be the first derivative of 10*n - 5/6*n**6 - 9 - 35/2*n**4 - 45/2*n**2 + 6*n**5 + 80/3*n**x. Factor d(j).
-5*(j - 2)*(j - 1)**4
Factor -y - 26*y - 54*y - 13*y**2 + 6336 - 6354.
-(y + 6)*(13*y + 3)
Let i(c) be the third derivative of -c**6/60 + 2*c**5/15 - c**4/4 - 3*c**2 - 11. Factor i(f).
-2*f*(f - 3)*(f - 1)
Let s = 52 - 49. Let u(r) be the third derivative of -1/180*r**5 - s*r**2 + 0 + 0*r + 0*r**3 + 1/36*r**4. Find x, given that u(x) = 0.
0, 2
Let i be 8/18 - 32/2088*29. Factor -5/7*l**2 + i*l + 1/7*l**4 + 0 - 4/7*l**3.
l**2*(l - 5)*(l + 1)/7
Let b(a) be the third derivative of a**5/20 + 29*a**4/4 + 56*a**3 - 122*a**2 + 2. Determine s so that b(s) = 0.
-56, -2
Let d be 4/(-6) - (-102)/99. Suppose 0 = -44*v + 41*v + w - 4, -8 = -4*v - 2*w. Suppose v*q**3 - d*q**2 + 0*q + 2/11 + 2/11*q**4 = 0. Calculate q.
-1, 1
Factor 991*u**2 + 980*u**2 - 1961*u**2 + 22*u**3 + 5*u**4 - 160*u + 105 + 18*u**3.
5*(u - 1)**2*(u + 3)*(u + 7)
Let q(o) be the second derivative of 0*o**2 + 1/55*o**6 + 0*o**4 + 16*o + 0*o**3 + 1/231*o**7 + 1/55*o**5 + 0. Factor q(s).
2*s**3*(s + 1)*(s + 2)/11
Let r(p) = -4*p**5 + 9*p**4 + 12*p**3 - 9*p**2 - 13*p - 5. Let m(x) = -x**5 + x**3 - x - 1. Let s(b) = 5*m(b) - r(b). Factor s(t).
-t*(t - 1)*(t + 1)**2*(t + 8)
Let k(a) be the second derivative of 17*a + 0*a**2 + 1/60*a**5 + 0*a**4 - 1/18*a**3 + 0. Factor k(z).
z*(z - 1)*(z + 1)/3
Let a(x) be the second derivative of x**5/35 + 80*x**4/7 + 12800*x**3/7 + 1024000*x**2/7 + 280*x. Determine f, given that a(f) = 0.
-80
Let d(b) be the third derivative of b**8/26880 + b**7/2240 + b**6/480 + 7*b**5/60 + 13*b**2. Let a(c) be the third derivative of d(c). Factor a(r).
3*(r + 1)*(r + 2)/4
Let t(m) be the first derivative of m**6/27 + 28*m**5/45 + 32*m**4/9 + 64*m**3/9 - 133. Solve t(y) = 0.
-6, -4, 0
Let p(t) be the first derivative of -2*t**3/3 - 31*t**2/2 - 63*t + 19. Let j be p(-13). Factor 0*g + 0 - 12/5*g**j - 4/5*g**3.
-4*g**2*(g + 3)/5
Let d(v) be the second derivative of 5*v**4/12 + 5*v**3 - 35*v**2/2 + v - 6. Factor d(r).
5*(r - 1)*(r + 7)
Let n(t) be the first derivative of t**6/18 - t**5/5 - t**4/12 + 11*t**3/9 - 2*t**2 + 4*t/3 - 641. Factor n(m).
(m - 2)*(m - 1)**3*(m + 2)/3
Let i(q) be the second derivative of -q**6/20 + q**5/10 + q**4/24 - q**3/6 + 2*q - 2. Find t such that i(t) = 0.
-2/3, 0, 1
Determine a so that -138/7*a - 2/7*a**2 + 20 = 0.
-70, 1
Let x(h) be the first derivative of -3*h**5/5 + 3*h**4/4 + h**3 - 3*h**2/2 + 121. Determine y, given that x(y) = 0.
-1, 0, 1
Let t be (-1 + -2)/(-3 + 12/8). Find z, given that 54*z + 6*z + 6*z**3 - z**3 - 30*z**t + 0*z**3 - 40 = 0.
2
Let f be 625/375*(-64)/(-20). Factor 0 + 2*w**3 - f*w**2 + 8/3*w.
2*w*(w - 2)*(3*w - 2)/3
Let f be (-26)/(-10) - (-2)/5. Suppose h + 4*h + 3*g = 5, 2*h - 3*g - 23 = 0. Solve 31*r**2 - 27*r**3 + 15*r**h + 3*r - 12*r**f - 6 - 4*r**2 = 0.
-2/5, 1
Let t(b) = -2*b**2 + 2*b - 8. Let p(z) = z**2. Let w(o) = 12*p(o) + 4*t(o). Let w(a) = 0. What is a?
-4, 2
Factor 0 + 1/7*w**2 + 17/7*w.
w*(w + 17)/7
Let h(o) be the third derivative of -o**6/40 - 69*o**5/5 - 3174*o**4 - 389344*o**3 + 13*o**2 - 4. What is k in h(k) = 0?
-92
Let k(y) be the third derivative of -y**6/40 - y**5/30 + y**4/8 + y**3/3 + 43*y**2 + 1. Find u such that k(u) = 0.
-1, -2/3, 1
Let w(k) be the second derivative of -k**5/10 + 31*k**4/24 + 2*k**3/3 - 42*k. Factor w(b).
-b*(b - 8)*(4*b + 1)/2
Let o(k) be the third derivative of k**5/360 - k**4/18 - k**2 - 9. Factor o(f).
f*(f - 8)/6
Let g(j) = 17*j**3 + 10*j**2 - 21*j + 6. Let h(w) = 2*w**2 - w + 2. Let p(i) = g(i) - 4*h(i). Suppose p(d) = 0. Calculate d.
-1, -2/17, 1
Let r be ((-15750)/(-1680))/(6/8). Factor 1/6*u**3 + 5/2*u**2 + 125/6 + r*u.
(u + 5)**3/6
Factor 1/4*f**2 - 17/2*f + 33/4.
(f - 33)*(f - 1)/4
Determine b so that -64/13*b - 96/13 + 2/13*b**4 + 16/13*b**3 + 16/13*b**2 = 0.
-6, -2, 2
Suppose x = -3*u + 16, -2*u -