e first derivative of -z**7/315 + z**6/45 - 2*z**5/45 - 11*z**2/2 - 15. Let i(l) be the second derivative of v(l). Factor i(p).
-2*p**2*(p - 2)**2/3
Let h = -3/556 - -47541/556. Factor 234*y + 18*y**4 + 3/2*y**5 + 201*y**2 + h*y**3 + 108.
3*(y + 2)**3*(y + 3)**2/2
Suppose q - 16 = -10. Let -19*x - q - 2*x**2 + 2*x + 9*x = 0. Calculate x.
-3, -1
Find n, given that 0 - 6*n - 56/9*n**2 - 2/9*n**3 = 0.
-27, -1, 0
Let d(k) be the third derivative of -k**8/1120 + k**6/120 - k**4/16 + 5*k**3/6 - 8*k**2. Let x(o) be the first derivative of d(o). What is j in x(j) = 0?
-1, 1
Suppose 7*m - 116 = -51*m. Let h(k) be the second derivative of 0*k**m + 0 + 0*k**4 + 2/3*k**3 + k - 1/5*k**5. What is c in h(c) = 0?
-1, 0, 1
Suppose -3*z - 4 = -13. Factor 12*b**2 + z*b**3 + 2*b**3 - 9*b**3 - 12*b + 1 + 3.
-4*(b - 1)**3
Let y(z) = -z**3 + 4*z**2 + 8*z + 3. Let i(p) = -p**3 + 3*p**2 + 8*p + 4. Let s(c) = 3*i(c) - 4*y(c). Determine d so that s(d) = 0.
-1, 0, 8
Let z(o) be the third derivative of o**8/168 + 4*o**7/105 + o**6/15 + o**2 + 7. Factor z(p).
2*p**3*(p + 2)**2
Let q be 540/(-216)*1/25*-1. Let w(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i - 7/40*i**6 - 8*i**2 - 1/14*i**7 - q*i**5 + 0. Solve w(s) = 0.
-1, -2/5, 0
Let p(d) be the first derivative of 1/2*d**6 + 9/4*d**4 - 9/5*d**5 + 0*d - 2 + 0*d**2 - d**3. Factor p(n).
3*n**2*(n - 1)**3
Let y = 134272441/68939836 + -1/801626. Let p = -30/43 + y. Suppose g**2 + 1/4*g**3 + 1/2 + p*g = 0. Calculate g.
-2, -1
Let a(r) be the second derivative of r**9/12096 + r**8/1680 + r**7/840 + 3*r**3/2 + 3*r. Let z(t) be the second derivative of a(t). Solve z(x) = 0.
-2, 0
Let p be ((-928)/(-350) - (-28)/(-350)) + (-6)/(-14). Factor 0 + 2/11*y + 0*y**2 - 2/11*y**p.
-2*y*(y - 1)*(y + 1)/11
Let v(d) = d**2 + d + 1. Let b(f) be the first derivative of 8*f**3/3 + f**2 - 14. Let p(i) = b(i) - 6*v(i). Let p(h) = 0. What is h?
-1, 3
Suppose -4*z - 3*f + 7 = 2*f, -4*z = -2*f - 14. Factor -11/2*n - 169/8*n**4 - 1/2 - 69/8*n**2 + 143/4*n**z.
-(n - 1)**2*(13*n + 2)**2/8
Let b(p) be the first derivative of -2/7*p**2 - 13 - 1/42*p**4 + 5*p - 1/7*p**3. Let a(f) be the first derivative of b(f). Factor a(n).
-2*(n + 1)*(n + 2)/7
Let u = -112 - -116. Factor 3*l**u - 85*l - 4*l**4 + 30 - 48*l**3 + 85*l**2 + 13*l**3 + 6*l**4.
5*(l - 3)*(l - 2)*(l - 1)**2
Find i, given that -32/13 + 2/13*i**2 + 30/13*i = 0.
-16, 1
Factor -3*f + 1/4*f**2 + 9.
(f - 6)**2/4
Let w(l) be the second derivative of -l**7/6300 + l**6/900 + l**5/100 + 23*l**4/12 - 25*l. Let q(j) be the third derivative of w(j). Find k such that q(k) = 0.
-1, 3
Suppose 0 = -8*z - 370 + 98. Let k = -32 - z. Let 70/9*a**4 + 4/9*a**k - 8*a + 16/9 + 18*a**3 = 0. What is a?
-2, -1, 2/7, 2/5
Let u(z) be the third derivative of z**4/24 - 7*z**3/3 - 7*z**2. Let r be u(15). Factor -3*d**4 - d**5 + 2*d + 114*d**2 + d - 2*d**3 - 112*d**2 + r.
-(d - 1)*(d + 1)**4
Let x be ((2 - 5) + 1)*-1. Suppose -x*a + 11 = 7. Factor 4*y - 3*y**2 - y**2 - 2*y + a*y**3.
2*y*(y - 1)**2
Suppose -3*w - 2*l = 3*l - 11, -2*w - 4*l + 8 = 0. Let i(d) be the first derivative of 6*d - 9/2*d**w - 5*d**3 + 8. Let i(o) = 0. Calculate o.
-1, 2/5
Let c(k) be the first derivative of 2*k**6/3 - 16*k**5/5 - 6*k**4 + 128*k**3/3 - 70*k**2 + 48*k + 446. Suppose c(h) = 0. What is h?
-3, 1, 4
Let i(r) be the second derivative of -r**7/140 + r**6/40 + 3*r**5/40 - 16*r**2 + 35*r. Let f(y) be the first derivative of i(y). Solve f(u) = 0.
-1, 0, 3
Suppose 0*c + 0 + 3/2*c**4 - 3/2*c**2 + 0*c**3 = 0. What is c?
-1, 0, 1
Factor 7/5*a - 12/5 - 1/5*a**2.
-(a - 4)*(a - 3)/5
Let a(m) be the second derivative of -m**6/180 - m**5/15 - 7*m**4/72 - 74*m. What is l in a(l) = 0?
-7, -1, 0
Suppose -5*p = -3*p - 28. Factor z + 2*z - 6*z**2 - 13*z**3 - p*z**3 + 30*z**3.
3*z*(z - 1)**2
Let c(k) be the second derivative of 0 + 3*k + 0*k**3 + 4/105*k**6 - 4/105*k**5 + 5/2*k**2 + 1/84*k**4. Let v(b) be the first derivative of c(b). Factor v(n).
2*n*(4*n - 1)**2/7
Let k be 72/48 + (-2 - (-9)/14). Let b(m) be the second derivative of -6*m + 2/21*m**3 + 0 + k*m**2 + 1/42*m**4. Determine r, given that b(r) = 0.
-1
Suppose 0*s - 4*s + 24 = 3*j, -2*j = 2*s - 16. Let v = 16 - j. Factor 3*r**5 + 5*r**3 - 3*r**2 + 3*r**4 - v*r**3 + 0*r**2.
3*r**2*(r - 1)*(r + 1)**2
Let x = 40 + 32. Solve -600*m**3 - 40 - 10*m**4 - x*m + 69*m**2 + 636*m**3 + 17*m**2 = 0 for m.
-2, -2/5, 1, 5
Let y(v) be the first derivative of 0*v + 1/8*v**4 + 1/2*v**3 + 5 + 1/2*v**2. Determine w, given that y(w) = 0.
-2, -1, 0
Factor 625/4*l**5 + 27*l**2 + 0 + l + 829/4*l**3 + 675/2*l**4.
l*(l + 1)**2*(25*l + 2)**2/4
Suppose -3*u + 37 - 5 = -5*x, 5*x = -20. Factor -6*f**2 + u*f**3 + 0*f + 0 - 2/3*f**4.
-2*f**2*(f - 3)**2/3
Suppose -75 = -3*v - 5*h - 9, -v + 4*h - 12 = 0. Suppose 0*a**3 - 16 - 4/3*a**4 + v*a**2 + 16/3*a = 0. Calculate a.
-2, 1, 3
Let m(h) = h**2 - 5*h - 7. Let v be m(-2). Suppose 3*y + 6*w = 9*w + 12, v = y - 4*w. Factor 8/7*r**2 + 2/7*r - 6/7*r**y - 4/7.
-2*(r - 1)**2*(3*r + 2)/7
Let o be 12/(-10)*(-25)/10. Solve 34*s**o + 32 - 6*s**3 + 5*s**4 + 80*s + 72*s**2 - s**4 = 0 for s.
-2, -1
Let r(w) be the third derivative of -13*w**6/30 + 44*w**5/5 - 115*w**4/2 + 100*w**3/3 - 2*w**2 - 118*w. Factor r(a).
-4*(a - 5)**2*(13*a - 2)
Let h be 78/21 + (-4)/(-14). Let q be 4 + (2 - (8 - h)). Factor q*f**2 - 1/2 + 3/2*f.
(f + 1)*(4*f - 1)/2
Let o(s) be the first derivative of -2*s**5/25 - s**4/10 + 2*s**3/3 - 3*s**2/5 - 6. Factor o(q).
-2*q*(q - 1)**2*(q + 3)/5
Let b(u) be the first derivative of -u**6/18 - 4*u**5/15 - u**4/3 + 2*u**3/9 + 5*u**2/6 + 2*u/3 - 15. Factor b(d).
-(d - 1)*(d + 1)**3*(d + 2)/3
Let g = 0 + -3. Let r = -1 - g. Let 11*k**2 - 2*k + 48*k**3 + 29*k + 61*k**r = 0. What is k?
-3/4, 0
Let i(g) = -g**3 + 5*g - 41. Let h be i(-4). Solve 16/7*o**2 + 0 + 4/7*o**5 - 8/7*o**4 - 12/7*o**h + 16/7*o = 0.
-1, 0, 2
Let a(q) be the third derivative of q**5/180 + 7*q**4/36 + 4*q**3/3 + 656*q**2. Factor a(j).
(j + 2)*(j + 12)/3
Let o be (12/9)/((-4)/(-6)). Let n(t) = -14*t + 100. Let b be n(7). Factor 6*s + 2*s**2 + 2*s**b + 4 - 3*s**o + s**2.
2*(s + 1)*(s + 2)
Suppose -9*h = -11*h - 2*o + 16, 8 = -4*o. Let p(r) be the first derivative of 1/5*r**3 + 3/5*r**2 - h + 3/5*r. Find m such that p(m) = 0.
-1
Let j(n) be the second derivative of -3/10*n**5 + 27*n + 0*n**2 - 1/10*n**6 + 0 + 1/4*n**4 + n**3. Factor j(h).
-3*h*(h - 1)*(h + 1)*(h + 2)
Let l(x) be the first derivative of -x**5 + 0*x**2 - 5/4*x**4 + 5/6*x**6 + 5/3*x**3 - 5 + 0*x. Suppose l(s) = 0. Calculate s.
-1, 0, 1
Let b(m) be the second derivative of m**8/168 - m**7/105 - m**6/60 + m**5/30 + 5*m**2/2 - 10*m. Let v(u) be the first derivative of b(u). Factor v(j).
2*j**2*(j - 1)**2*(j + 1)
Let w = -6354/25 + 6374/25. Factor -16/5*v + 7/5*v**2 + w.
(v - 2)*(7*v - 2)/5
Suppose 148*y = -48*y + 356 + 428. Factor -4/5*b**2 - 24/5 - y*b.
-4*(b + 2)*(b + 3)/5
Suppose -5*y - n = -0*y + 3, -4*n + 13 = -5*y. Let g be (29 - 32)*y/12. Factor g*l**2 + 1 - l.
(l - 2)**2/4
Factor 29/3*d - 1/6*d**2 - 19/2.
-(d - 57)*(d - 1)/6
Let l(n) be the first derivative of -1/2*n**3 - n**2 + 7*n - 1/12*n**4 + 4. Let w(a) be the first derivative of l(a). Factor w(m).
-(m + 1)*(m + 2)
Let q(t) be the third derivative of -19*t**8/112 - 149*t**7/105 - 53*t**6/15 + 4*t**5/5 + 38*t**4/3 - 16*t**3/3 + 90*t**2. Let q(c) = 0. Calculate c.
-2, 2/19, 2/3
Suppose 382/3*t**2 - 6016*t - 2/3*t**3 - 6144 = 0. What is t?
-1, 96
Let t(z) be the third derivative of z**6/780 + 8*z**5/65 + 48*z**4/13 + 127*z**2. Factor t(g).
2*g*(g + 24)**2/13
Let z = 26659 - 26654. What is h in h**3 - 1/3*h**z - 4/3*h + 0 - 2/3*h**4 + 4/3*h**2 = 0?
-2, 0, 1
Factor -4/7*x**2 + 16/7 + 12/7*x.
-4*(x - 4)*(x + 1)/7
Suppose -15 = -3*k, -3*k = -s - k - 6. Suppose 0 = -2*i - 5*a + 18, 0 = -s*i - a + 6*a + 6. Factor 4*b**2 - 7*b**4 + 5*b**4 - 2*b**3 + 0*b**i.
-2*b**2*(b - 1)*(b + 2)
Let o(k) be the second derivative of -k**4/36 + 224*k**3/9 - 25088*k**2/3 + 496*k. Find b such that o(b) = 0.
224
Let g be (4/(-32))/((-39)/(-8) - 5). Let q be (-3)/(-8) - (g - (-2)/(-2)). Factor 0*w - q*w**5 + 3/8*w**4 + 0 + 0*w**3 + 0*w**2.
-3*w**4*(w - 1)/8
Factor -1/5*f**4 + 272/5*f + 36/5*f**2 - f**3 + 448/5.
-(f - 7)*(f + 4)**3/5
Let p = 67 - 58. Suppose 15 = p*l - 12. Find f, given that 0 + 3/2*f**5 + 3/2*f**3 + 0*