7/420 - h**6/120 - 23*h**2. Factor f(s).
s**3*(s - 2)*(s + 1)/2
Let n = 20 + 0. Factor 4*o + 16 - 5*o**2 + 8*o**2 - n.
(o + 2)*(3*o - 2)
Let q(h) be the second derivative of 0 + 13*h + 0*h**2 - 1/900*h**6 + 1/6*h**3 + 1/100*h**5 - 1/30*h**4. Let d(x) be the second derivative of q(x). Factor d(n).
-2*(n - 2)*(n - 1)/5
Let z(x) be the second derivative of -1/9*x**3 - 1/6*x**4 + 0 + x**2 + 1/30*x**5 - 25*x. Factor z(f).
2*(f - 3)*(f - 1)*(f + 1)/3
Let h be (-5)/15*123/(-287). Factor -h*y + 2/7 - 1/7*y**2.
-(y - 1)*(y + 2)/7
Suppose -4*s - 8 = -4*a, 3*s + s - 27 = -3*a. Find u such that -3*u + 23*u**s + 12*u**2 - 6*u**2 - 14*u**3 - 12*u**5 - 12*u**4 = 0.
-1, 0, 1/2
Factor g + 5*g**5 - 9*g**3 + 60*g**2 - 34*g - 4*g**3 - 15*g**4 - 7*g + 3*g**3.
5*g*(g - 2)**2*(g - 1)*(g + 2)
Suppose -40*a = -66 - 134. Let v(c) be the second derivative of -1/4*c**3 + 3*c + 0 + 0*c**2 - 3/80*c**a - 3/16*c**4. Factor v(z).
-3*z*(z + 1)*(z + 2)/4
Let f(q) be the first derivative of -q**5/25 - 3*q**4/20 - q**3/15 + 3*q**2/10 + 2*q/5 - 93. Let f(h) = 0. Calculate h.
-2, -1, 1
Suppose 5*d - 10 = -2*f + 35, 5*d - 15 = f. Let h = 22 + -12. Factor -125*g**3 + f*g + 120*g**3 + 5*g - h.
-5*(g - 1)**2*(g + 2)
Let c(w) = -2*w**2 + 16*w - 12. Let f(m) = -2*m**2 + 2*m + 1. Let j(b) = -c(b) + 2*f(b). Factor j(y).
-2*(y - 1)*(y + 7)
Suppose -18 = -2*g + 5*q - 2, -3*g - 10 = q. Let t be (g - 0/4)/(-1). Factor 8*k - 8 - 5*k - t*k**2 + 5*k.
-2*(k - 2)**2
Let -58/3*a - 8/3*a**3 + 4 + 14*a**2 = 0. What is a?
1/4, 2, 3
Let s(m) be the third derivative of -m**6/10 + 28*m**5/75 + 2*m**4/15 - 279*m**2. Solve s(g) = 0.
-2/15, 0, 2
Let v(b) be the first derivative of -7*b**3 - 123*b**2 + 72*b - 54. Let v(d) = 0. Calculate d.
-12, 2/7
Let g(h) be the third derivative of -h**7/3780 - h**6/540 + h**4/27 - h**3/3 - 17*h**2. Let y(t) be the first derivative of g(t). Factor y(x).
-2*(x - 1)*(x + 2)**2/9
Let v(w) = w**3 - 19*w**2 + 2*w - 33. Let r be v(19). Factor -3*h**r + 3*h + 80*h**3 + 6*h**5 - 45*h**3 - 41*h**3.
3*h*(h - 1)**2*(h + 1)**2
Let m = 900 - 898. Let s(j) be the third derivative of 4*j**m + 5/6*j**5 + 0*j + 1/2*j**4 + 1/45*j**7 + 0 + 0*j**3 + 11/45*j**6. Solve s(t) = 0 for t.
-3, -2/7, 0
Let q = 1 - -2. Factor -18*u**4 + 0*u**q + 10*u**3 + 29*u**4 + 24*u**4 + 25*u**5.
5*u**3*(u + 1)*(5*u + 2)
Factor -18*x**3 - 33*x**2 + 871*x + 871*x - 1742*x.
-3*x**2*(6*x + 11)
Let -312/5 + 1558/5*f**2 - 6/5*f**4 - 314/5*f - 926/5*f**3 = 0. What is f?
-156, -1/3, 1
Factor -9 - 3/4*a**2 + 6*a.
-3*(a - 6)*(a - 2)/4
Let l = -334237/5 + 67243. Let r = l + -394. Factor r*b**2 + 6/5*b - 2/5.
2*(b + 1)*(4*b - 1)/5
Factor 10/3*h - 2/3*h**2 + 4.
-2*(h - 6)*(h + 1)/3
Let t(k) be the second derivative of k**4/9 - 4*k**3/3 - 14*k**2/3 + 9*k + 8. Factor t(v).
4*(v - 7)*(v + 1)/3
Let n = -16490/7 + 2356. Let c = 2 - 2. Factor 2/7*o - n*o**2 + c.
-2*o*(o - 1)/7
Let m(w) = -w**3 - 3*w**2 + 11*w + 5. Let f be m(0). Let o(q) be the first derivative of 3/35*q**f + 9 + 9/28*q**4 - 6/7*q**2 + 0*q + 0*q**3. Factor o(h).
3*h*(h - 1)*(h + 2)**2/7
Suppose -6*x = 4*p - x - 165, -3*p - 4*x = -124. Suppose 10*f - p = 2*f. Factor 0*h**2 + 16/5*h**4 + 32/5*h**3 + 0*h + 2/5*h**f + 0.
2*h**3*(h + 4)**2/5
Let 2/9*x**3 - 4/9*x**2 + 0 - 2/3*x = 0. Calculate x.
-1, 0, 3
Factor -2/15*k**2 + 8/5 - 16/15*k + 2/15*k**3.
2*(k - 2)**2*(k + 3)/15
Let d(g) be the first derivative of 0*g**2 - g**3 - 1/10*g**6 + g + 0*g**5 + 3/4*g**4 + 2. Let t(j) be the first derivative of d(j). Factor t(q).
-3*q*(q - 1)**2*(q + 2)
Let q(o) be the third derivative of -3*o**2 + 0*o + 0 - 1/15*o**3 + 1/40*o**4 + 1/1050*o**7 - 1/200*o**6 + 1/300*o**5. Factor q(u).
(u - 2)*(u - 1)**2*(u + 1)/5
Let y be 0 - 3*(-3 + -2). Factor 9 + 5 + 15*k**3 + 40*k**2 - 24 + y*k.
5*(k + 1)*(k + 2)*(3*k - 1)
Let x(g) be the first derivative of -5*g**6/6 + 15*g**5 - 275*g**4/4 - 125*g**3 + 1400*g**2 - 2940*g - 289. Find q, given that x(q) = 0.
-3, 2, 7
Let z(m) be the second derivative of m**4/28 - 13*m**3/14 + 18*m**2/7 - 29*m. Factor z(u).
3*(u - 12)*(u - 1)/7
Let -2/15*t**3 + 2/15*t**5 + 0*t - 2/5*t**4 + 2/5*t**2 + 0 = 0. What is t?
-1, 0, 1, 3
Factor -10*l + 33*l**2 - 1 - 2 - 60*l**2 + 32*l**2 + 8.
5*(l - 1)**2
Let d = -9735 + 19473/2. Find l, given that -1/2*l**2 + 0 - d*l = 0.
-3, 0
Let j(r) be the first derivative of -r**6/2 - 3*r**5/5 + 9*r**4 + 16*r**3 - 48*r**2 - 144*r + 668. Let j(d) = 0. What is d?
-2, 2, 3
Let x be (-1)/((-9)/(-12) + -1). Solve 14*w**2 - 16*w**2 + 0*w**4 - w**3 - 4*w**x + 5*w**4 = 0 for w.
-1, 0, 2
Factor 9/5*g + 3/5*g**2 - 6.
3*(g - 2)*(g + 5)/5
Suppose -99*v + 214*v**2 - 94*v**2 - 117*v**2 = 0. Calculate v.
0, 33
Suppose -d - r + 9 + 1 = 0, -2*d + 5*r = 1. Suppose 5*t - 16 = t + 4*y, -2*t = -y - d. Factor 4*o**3 + 9*o**2 + 4*o**3 - 5*o**t.
3*o**2*(o + 3)
Determine h, given that 24*h**2 + h**3 + h - 1 - 26*h**2 + 1 = 0.
0, 1
Factor -48/5 + 9/5*u**3 + 48/5*u**2 + 36/5*u.
3*(u + 2)*(u + 4)*(3*u - 2)/5
Let u(r) be the first derivative of -319*r**4 + 640*r**3 + 90*r - 381*r**4 - 13 - 118*r + 300*r**5 - 288*r**2 + 92*r. Let u(y) = 0. Calculate y.
2/5, 2/3
Let a(q) = q**2 + 11*q + 35. Let u be a(-6). Let d = -2 - -4. Solve -d*o**2 + 0 + u - 5 = 0.
0
Let v(h) be the second derivative of -1/190*h**5 + 1/114*h**4 - 24*h + 0 - 1/285*h**6 + 1/57*h**3 + 0*h**2. Determine w, given that v(w) = 0.
-1, 0, 1
Let j(s) = -s**4 + s**3 + s - 2. Let g(w) = -3*w**4 - w**3 + 2*w**2 + 12*w - 8. Let f(l) = -g(l) + 4*j(l). Find u such that f(u) = 0.
-1, 0, 2, 4
Let f(k) be the first derivative of -3 + 0*k + 1/4*k**4 - 1/20*k**5 - 9/2*k**2 + 0*k**3. Let i(w) be the second derivative of f(w). Let i(c) = 0. What is c?
0, 2
Let t(j) be the first derivative of 32/3*j**6 + 22*j**2 + 4*j + 10 + 172/3*j**3 + 73*j**4 + 224/5*j**5. Suppose t(r) = 0. Calculate r.
-1, -1/4
Suppose -1374 = 6*p + 144. Let o = -250 - p. Let -2/5*w**4 + 1/5*w - 9/5*w**o + 3/5 - 9/5*w**2 = 0. Calculate w.
-3, -1, 1/2
Let a be ((-2)/(-4))/((-2)/(-20)). Let p(i) = -3*i**2 - 8*i + 13. Let n(q) = -2*q**2 - 4*q + 7. Let g(s) = a*n(s) - 3*p(s). Factor g(f).
-(f - 2)**2
Factor 1/8*t**3 + 0 + 0*t + 3/4*t**2.
t**2*(t + 6)/8
Determine d, given that 40/17*d**2 - 2 - 100/17*d + 100/17*d**3 - 6/17*d**4 = 0.
-1, -1/3, 1, 17
Suppose q**5 - 34*q - 10*q**3 + 6*q**4 + q**5 + 42*q - 2*q**2 - 4*q**2 = 0. What is q?
-4, -1, 0, 1
Let a(z) be the third derivative of -z**9/3780 + z**7/630 + 5*z**4/8 + 17*z**2. Let r(j) be the second derivative of a(j). Factor r(w).
-4*w**2*(w - 1)*(w + 1)
Factor d**3 - 8448*d - 360*d**2 + 0*d**3 - 8364 + 2514 - 5*d**3 - 9638.
-4*(d + 2)*(d + 44)**2
Let i(w) be the third derivative of 0*w + 1/12*w**4 - 4*w**2 - 1/1260*w**7 + 0 - 13/360*w**5 - 1/9*w**3 + 1/120*w**6. Factor i(v).
-(v - 2)**2*(v - 1)**2/6
Let o(w) = -2*w**2 - 28*w + 3. Let u be o(-14). Let -2*k**2 - 4*k**u + 8*k**3 - 3*k**4 + k**4 = 0. Calculate k.
0, 1
Factor 4/7*t - 1/7*t**2 + 3.
-(t - 7)*(t + 3)/7
Let n = 5821/30 + -194. Let t(r) be the first derivative of 2/15*r**3 + n*r**6 - 3/10*r**2 - 3 - 3/25*r**5 + 1/5*r + 1/10*r**4. Solve t(v) = 0.
-1, 1
Let v(n) = n**4 + 5*n**3 + n**2 - 13*n + 8. Let f(o) = o**4 + o**3 - o**2 - o + 1. Let w(a) = -4*f(a) + 2*v(a). Factor w(p).
-2*(p - 3)*(p - 1)**2*(p + 2)
Suppose 3*g + 4*l = -71, g - l = 4 - 16. Let q = g - -21. Find b such that 3*b + q*b**3 - 2*b**2 + b - 6*b**3 = 0.
-2, 0, 1
Let y(g) be the third derivative of g**6/80 + 9*g**5/20 - 61*g**4/16 + 21*g**3/2 - 60*g**2. Find w, given that y(w) = 0.
-21, 1, 2
Determine d, given that -27*d**3 - 676*d**2 + d**4 - 2*d**4 - 77*d**3 - 3*d**4 = 0.
-13, 0
Let x be (-9)/(-12) - (-2)/16*26. Factor -x*h**3 + 36*h**2 - 47 - 60*h + 1 - 30 - 24.
-4*(h - 5)**2*(h + 1)
Factor 4*g**3 - 2*g + g**4 + 1109*g**2 + 3 - 1113*g**2 - 2*g**3.
(g - 1)**2*(g + 1)*(g + 3)
Let h = -35 - -38. Factor -2*a - 2*a**2 + 4 - 243*a**h - 2*a**2 + 245*a**3.
2*(a - 2)*(a - 1)*(a + 1)
Let o be 50/24 - 32/24. Let b(d) be the first derivative of 9/2*d**2 + o*d**4 - 5 - 3*d**3 - 3*d. Let b(p) = 0. Calculate p.
1
Suppose 2*i - 3*w = 7*i + 72, -32 = 2*i - 2*w. Let f = 31/2 + i. Solve f - 1/4*j**2 - 1/4*j**4 - 3/4*j + 3/4*j**3 = 0 for j.
-1, 1, 2
Let x be (-12)/(-28) + 3/(3402/(-444)). Let g(i) be the third derivative of 2*i**2 + 0 + 0*i + 0*i**4 + x*i**3 - 1/270*i**5. Factor g(u).
-2*(u - 1)*