erivative of m**9/100800 - m**8/11200 + m**7/2800 - m**6/1200 + 2*m**5/15 - m**2. Let s(f) be the third derivative of w(f). Factor s(o).
3*(o - 1)**3/5
Let q(n) be the second derivative of -n**5/10 + 2*n**4/3 - 4*n**3/3 - 7*n. Solve q(l) = 0.
0, 2
Let u(j) = 4*j**3 - 24*j**2 - 4*j + 24. Let g(c) = c**2 - 1. Let i(s) = -24*g(s) - u(s). What is n in i(n) = 0?
-1, 0, 1
Let w be -13 + 9 - (-48)/11. Factor -2/11*p**3 - 4/11*p**2 + w + 2/11*p.
-2*(p - 1)*(p + 1)*(p + 2)/11
Let a(t) be the first derivative of -t**3 + 9*t**2 - 27*t + 12. Factor a(w).
-3*(w - 3)**2
Let z(x) be the second derivative of -7*x**4/30 + 2*x**3/15 + 8*x. Factor z(b).
-2*b*(7*b - 2)/5
Factor 1/8*s**4 - 3/8*s**3 - 1/8*s**2 + 1/8*s**5 + 1/4*s + 0.
s*(s - 1)**2*(s + 1)*(s + 2)/8
Suppose -2*f + 13 = -p, 0 = -5*f - 3*p + 1 + 4. Factor y**2 + f - 4 - 19*y + 18*y.
y*(y - 1)
Suppose 4*a - 2*a + 9 = 3*j, -4*j = 2*a - 26. Let l(x) be the second derivative of 1/2*x**2 + 1/3*x**a + 0 - x + 1/12*x**4. Factor l(b).
(b + 1)**2
Let v(f) = -5*f**3 + 4*f**3 + 2*f + f + 3. Let r(z) = -3 - z + 10*z**3 - 2*z**3 + 2 - 7*z**3. Let s(h) = 3*r(h) + v(h). Factor s(d).
2*d**3
Let q be (-3 - -1 - -2)/(-2). Let i(r) be the second derivative of q - 1/42*r**4 - r - 1/21*r**3 + 0*r**2. Suppose i(o) = 0. What is o?
-1, 0
Let r(c) = -c**3 - 7*c**2 - 5*c + 2. Let f be r(-6). Let g(t) = t**3 + 5*t**2 + 2*t - 3. Let o be g(f). Factor -o*y**3 + y - y**3 + 3*y**3 + 2*y**4.
y*(y - 1)**2*(2*y + 1)
Let w = 0 - -2. Factor -n**w + 0*n**2 + 4*n - n + 2 - 4*n.
-(n - 1)*(n + 2)
Let l(w) be the first derivative of -7*w**5/5 - w**4/2 + 7*w**3 - 4*w**2 - 4*w - 19. Factor l(x).
-(x - 1)**2*(x + 2)*(7*x + 2)
Let c(t) be the third derivative of t**8/21 + 2*t**7/21 + t**6/30 + 4*t**2. Factor c(y).
4*y**3*(y + 1)*(4*y + 1)
Let f(o) = 4*o**3 - 3*o - 1. Let s(v) = -7*v**3 - v**2 + 5*v + 3. Let y(i) = 5*f(i) + 3*s(i). Factor y(a).
-(a - 1)*(a + 2)**2
Let f = -38/13 - -394/117. Factor 0*u**2 + 0 + 0*u + 2/9*u**3 - 2/9*u**4 - f*u**5.
-2*u**3*(u + 1)*(2*u - 1)/9
Let n(d) = d + 6. Let k be n(-5). Let i be (k - 6)/(5/(-2)). Let -2*b - 6/7*b**i - 4/7 = 0. Calculate b.
-2, -1/3
Let q(r) be the second derivative of 2/39*r**3 + 1/26*r**4 + 0*r**2 + 1/130*r**5 + 3*r + 0. Suppose q(v) = 0. What is v?
-2, -1, 0
Let l(m) be the first derivative of -2*m**5 + 3*m**4/2 + 8*m**3 + 4*m**2 + 5. Solve l(k) = 0 for k.
-1, -2/5, 0, 2
Let q = -7/2 + 57/14. Find o such that 2/7*o - 2/7 + q*o**2 = 0.
-1, 1/2
Suppose -30 = -5*n - 4*j, -n + 23 + 4 = 5*j. Factor 5*l**4 + l**2 + 2*l**4 + l**5 - 5*l**4 - 3*l**n - l.
l*(l - 1)*(l + 1)**3
Let o = 58/65 + -9/13. Factor 1/5*m**3 + 0*m + o*m**4 + 0 + 0*m**2.
m**3*(m + 1)/5
Suppose 67 = 7*o + 32. Let k(f) be the second derivative of 3/2*f**3 + 0 + 3/20*f**o - 3/2*f**2 - 3/4*f**4 + 2*f. Factor k(r).
3*(r - 1)**3
Let v(m) = -21*m**3 - 27*m**2 - 12*m. Let x(c) = -c**5 - 43*c**3 - 55*c**2 - 25*c. Let s(p) = -7*v(p) + 3*x(p). Factor s(r).
-3*r*(r - 3)*(r + 1)**3
Let g = -19 + 19. Suppose g = 5*i, -3*a = 2*a + 3*i. Factor 2/5*p**2 - 2/5*p + a.
2*p*(p - 1)/5
Let h(o) = 5*o + o - 4 - 3*o**2 + 4*o**3 - 3*o. Let x(q) = -117 + q + 116 + 0*q. Let t(l) = h(l) - 4*x(l). Solve t(c) = 0 for c.
-1/4, 0, 1
Let b(h) be the first derivative of 4*h**7/21 - h**6/5 - h**5/10 + 3*h + 1. Let z(u) be the first derivative of b(u). Solve z(k) = 0 for k.
-1/4, 0, 1
Suppose -5*d + 4*q = -3*d - 8, -2*d - 5*q = -35. What is k in -2*k**2 - d + 10 - k**3 - k = 0?
-1, 0
Let d = 11 + -7. Factor d*c + 1 - 3*c - c**4 + 2*c**3 - 3*c.
-(c - 1)**3*(c + 1)
Factor -6*v**2 - 10/3*v**3 - 2/3*v**4 - 14/3*v - 4/3.
-2*(v + 1)**3*(v + 2)/3
Suppose 17*n**2 + 2*n - 15*n**2 + 2 - 6 = 0. What is n?
-2, 1
Let b(o) be the first derivative of -28*o**3 + 23*o**2/2 + 12*o + 3. Let r(p) = 42*p**2 - 12*p - 6. Let t(k) = -3*b(k) - 5*r(k). Determine j so that t(j) = 0.
-2/7, 1/2
Let o(h) be the second derivative of 2*h + 0*h**3 - 1/168*h**7 - 1/30*h**6 + 0 + 0*h**2 - 1/20*h**5 + 0*h**4. Suppose o(v) = 0. What is v?
-2, 0
Let x(q) be the third derivative of 0 + 0*q - 8/3*q**3 - 1/60*q**5 + 5*q**2 - 1/3*q**4. Factor x(m).
-(m + 4)**2
Let b(a) be the first derivative of a**5/180 - a**4/24 + a**3/9 - 5*a**2/2 - 7. Let k(h) be the second derivative of b(h). Factor k(l).
(l - 2)*(l - 1)/3
Let k = 556/15 + -37. Let a(h) be the third derivative of 0*h + 0 + k*h**5 - 2/3*h**3 - 1/60*h**6 + 1/12*h**4 + h**2. Determine d so that a(d) = 0.
-1, 1, 2
Let d(w) be the third derivative of 3*w**8/16 - 4*w**7/35 - 47*w**6/120 + w**5/15 + w**4/6 + 48*w**2. Find p such that d(p) = 0.
-2/3, -2/7, 0, 1/3, 1
Let 3/2*l**4 - 15*l**3 + 0*l + 0 + 75/2*l**2 = 0. What is l?
0, 5
Let o = -376 - -2634/7. Find f, given that -2/7*f**2 + 4/7*f - o = 0.
1
Find c such that -24/11*c + 72/11 + 2/11*c**2 = 0.
6
Suppose -2*o = -10, 0*b + 3*b = 5*o - 19. Suppose -2*w**4 - 2*w**2 + w**b - 3*w**2 - 6*w**3 + 0*w**2 = 0. What is w?
-2, -1, 0
Let o(p) = -p**3 + 6*p**2 - 3*p - 5. Let c = 8 + -3. Let a be o(c). Suppose 2 - 2 - 2*z**a + 6*z**3 - 4*z**3 = 0. Calculate z.
-1, 0, 1
Let x = 363 + -1079/3. Factor x*w**4 + 8/3*w**2 + 0 + 8*w**3 + 0*w.
2*w**2*(w + 2)*(5*w + 2)/3
Let t(i) be the first derivative of -3*i**5/5 - 9*i**4 - 36*i**3 - 51. Solve t(k) = 0 for k.
-6, 0
Let m(h) be the first derivative of h**7/105 - 3*h**5/50 + h**4/15 - 6*h - 6. Let v(t) be the first derivative of m(t). What is r in v(r) = 0?
-2, 0, 1
Let v = -59 - -63. Let q(r) be the second derivative of 0 + 0*r**2 - 3*r + 1/36*r**v - 1/9*r**3. Suppose q(a) = 0. What is a?
0, 2
Let d(z) be the third derivative of 0*z**4 + 0 + 0*z**3 + 0*z + 0*z**5 - z**2 + 1/840*z**7 + 0*z**6. Factor d(m).
m**4/4
Let v(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s**4 + 0*s - 1/210*s**7 + 0*s**6 + 0*s**5 + 0. What is q in v(q) = 0?
0
Let i(a) = a**4 + a**3 - a**2. Let j(b) = -b**4 - 7*b**3 + 11*b**2 - 7*b + 2. Let g = 0 - 2. Let x(n) = g*i(n) - j(n). Suppose x(o) = 0. What is o?
1, 2
Let k(t) be the third derivative of t**5/100 + t**4/40 - 3*t**3/5 + 44*t**2. Solve k(a) = 0.
-3, 2
Let h = -12 - -7. Let y be h/5*2*-1. Factor -3 - 4 + 37*l**y - 42*l**3 + 3.
-(2*l - 1)*(3*l - 2)*(7*l + 2)
Let a(y) be the first derivative of -1 + 5/8*y**2 - 9/16*y**4 + 1/4*y**3 + 1/4*y. What is k in a(k) = 0?
-1/3, 1
Let h(d) = 4*d**2 + 2*d + 1. Let j be h(-1). Determine v so that 4/3 - 2*v - 40/3*v**2 + 14*v**j = 0.
-1/3, 2/7, 1
Let k be ((-2)/(-16))/((-21)/(-56)). Let y = k - 1/12. Suppose 0*v + y*v**3 + 0 + 1/4*v**2 = 0. Calculate v.
-1, 0
Let n(t) be the first derivative of t**2 + 1/4*t**4 - 1 - 2/3*t**3 - 1/30*t**5 + 0*t. Let o(h) be the second derivative of n(h). Factor o(s).
-2*(s - 2)*(s - 1)
Let w(r) be the third derivative of -r**8/112 - 3*r**7/70 - r**6/20 + r**5/10 + 3*r**4/8 + r**3/2 + 3*r**2. Determine n so that w(n) = 0.
-1, 1
Let n(x) be the second derivative of -x**4/36 - 2*x**3/9 - x**2/2 - 11*x. Factor n(p).
-(p + 1)*(p + 3)/3
Suppose 2/7*f**2 + 4*f + 14 = 0. Calculate f.
-7
Let p(k) be the third derivative of 0*k**5 + 0*k - 1/16*k**4 + 0 + 1/80*k**6 - 5*k**2 + 0*k**3. Find b, given that p(b) = 0.
-1, 0, 1
Let q(u) be the second derivative of 5*u**7/42 - 5*u**6/2 + 63*u**5/4 - 245*u**4/12 - u. Solve q(y) = 0.
0, 1, 7
Let c(y) = y**2 - y. Let p(v) = 7*v**2 + 28*v + 45. Let f(i) = -2*c(i) + p(i). Let f(m) = 0. What is m?
-3
Let o(n) be the second derivative of n**4/40 - n**3/6 + 3*n**2/20 - 5*n. Factor o(u).
(u - 3)*(3*u - 1)/10
Suppose -5*f + 8 = -2. Factor 0*r**3 + r**3 - r**4 + 2*r**f - 2*r**2.
-r**3*(r - 1)
Suppose l = 3*b + 2, 5*l - b - 10 = 2*b. Let d = 24 + -47/2. Factor 0 + d*s - 1/2*s**l.
-s*(s - 1)/2
Let r(p) = p**3 - p**2 + p - 39. Let a be r(0). Let g be 2/(-21)*91/a. Solve g*s**3 - 2/9*s + 2/9 - 2/9*s**2 = 0.
-1, 1
Let i(p) be the first derivative of p**3/3 + 3*p**2/2 - 12. Factor i(w).
w*(w + 3)
Suppose x + 29 = -d + 6*d, 5 = -3*d - 5*x. Let l be (-4 - (3 - d)) + 2. Suppose 4/7*m**2 + l*m - 2/7 - 2/7*m**4 + 0*m**3 = 0. Calculate m.
-1, 1
Let a(s) be the third derivative of 2*s**2 + 0*s + 1/70*s**7 + 0 + 1/10*s**5 + 3/40*s**6 + 0*s**3 + 0*s**4. Determine o, given that a(o) = 0.
-2, -1, 0
Let x(q) be the third derivative of q**7/2100 + q**6/450 + q**5/300 - q**3/3 + q**2. Let d(m) be the first derivative of x(m). Factor d(w).
2*w*(w + 1)**2/5
Let k(y) = 5*y**