rivative of -s**5/12 - 5*s**4/3 - 10*s**3 + 46*s**2. Factor l(v).
-5*(v + 2)*(v + 6)
Let t(d) = -45*d + 23*d - 2 + 20*d + d**2. Let b(x) = -x. Let c(h) = -b(h) + t(h). Factor c(z).
(z - 2)*(z + 1)
Let a(r) be the first derivative of -9*r**5/20 + 3*r**4/4 + r**3 - 52. Determine j, given that a(j) = 0.
-2/3, 0, 2
Let c(k) be the third derivative of 0*k + 1/300*k**6 + 19*k**2 - 1/150*k**5 + 0 - 1/5*k**3 - 1/12*k**4. Suppose c(f) = 0. What is f?
-1, 3
Solve -21/2*j - 3/8*j**2 - 147/2 = 0 for j.
-14
Suppose 0*h - 3*h = -87. Factor -30*v + 18 + 8*v**2 - 3*v - h*v**2.
-3*(v + 2)*(7*v - 3)
Let p(w) be the third derivative of 0*w + 0 + 0*w**3 - 3/80*w**5 + 1/280*w**7 + 8*w**2 - 1/16*w**4 + 0*w**6. Factor p(f).
3*f*(f - 2)*(f + 1)**2/4
Find h, given that -85/4*h**2 + 3/4*h**3 - 37*h - 15 = 0.
-1, -2/3, 30
Let t = 30029/315 - 862/9. Let g = t + 11/15. Factor 6/7*w**2 + 2/7 - g*w**3 - 6/7*w.
-2*(w - 1)**3/7
Suppose -x + c = 2*x - 13, -2*x - c = -7. Factor -4*u**x - 207 + 16*u + 0*u**4 - 36*u**2 - 24*u**3 + 255.
-4*(u - 1)*(u + 2)**2*(u + 3)
Determine h so that 1360/11*h**2 - 768/11*h - 288/11 + 126/11*h**4 - 8/11*h**5 - 672/11*h**3 = 0.
-1/4, 2, 6
Let a = -1691/6 + 565/2. Let -1/3*h - 8/3*h**4 + 10/3*h**2 - 4/3*h**3 - a + 5/3*h**5 = 0. Calculate h.
-1, -2/5, 1
Let w be 2 - (1 + -1) - 0/1. Suppose -75/4 - 3/4*x**w - 15/2*x = 0. What is x?
-5
Let q(i) = i**3 + 8*i**2 + 7*i - 7. Let g be q(-7). Let w = g - -10. Determine s so that 2 - 4 + 8 + 3*s - w*s**2 = 0.
-1, 2
Let k be (0*3/(-24))/(5 + -2). Let m(t) be the second derivative of 1/16*t**4 - 9*t + 3/8*t**2 + k - 1/4*t**3. Determine i so that m(i) = 0.
1
Let o(h) = h**3 + 20*h**2 - 2*h**3 + h - 19*h**2 + 1. Let t(y) = -2*y**4 - 12*y**3 + 12*y**2 + 12*y + 10. Let l(k) = -10*o(k) + t(k). Solve l(d) = 0.
-1, 0, 1
Factor 1/5*l**2 + 8/5*l - 9/5.
(l - 1)*(l + 9)/5
Suppose 65/4*i**4 + 10*i + 185/4*i**3 - 145/2*i**2 + 0 = 0. Calculate i.
-4, 0, 2/13, 1
Let y be 96/36 - 760/330. Find l such that 0*l + y*l**3 + 2/11*l**2 + 2/11*l**4 + 0 = 0.
-1, 0
Let j(z) be the first derivative of -z**4/7 - 68*z**3/21 + 74*z**2/7 - 76*z/7 - 125. Determine c so that j(c) = 0.
-19, 1
Let 0 - 6*b**3 - 3/2*b**4 + 0*b - 6*b**2 = 0. What is b?
-2, 0
Let d(k) be the second derivative of k**5/210 - k**4/21 + 4*k**3/21 + 6*k**2 - 6*k. Let u(v) be the first derivative of d(v). Factor u(g).
2*(g - 2)**2/7
Suppose -9*p = -12*p + 9. Let y(u) be the first derivative of 4/9*u - 2 - 1/3*u**2 + 2/27*u**p. What is f in y(f) = 0?
1, 2
Let x(i) be the second derivative of i**7/1820 + i**6/2340 + 23*i**3/6 + 14*i. Let p(f) be the second derivative of x(f). Factor p(n).
2*n**2*(3*n + 1)/13
Let n(o) be the second derivative of 5*o**4/12 - 130*o**3/3 + 1690*o**2 - 97*o. Suppose n(u) = 0. What is u?
26
Let l = 43/10 + -127/30. Let w(d) be the second derivative of 0 + 1/15*d**3 + 1/50*d**5 + 0*d**2 + 7*d + l*d**4. Factor w(c).
2*c*(c + 1)**2/5
Let a(m) be the second derivative of 0 + 1/6*m**3 + 0*m**2 + 0*m**4 - 3/80*m**5 + 21*m - 1/120*m**6. Solve a(k) = 0.
-2, 0, 1
Factor 0*q**2 + 2/9*q + 0 + 0*q**4 - 4/9*q**3 + 2/9*q**5.
2*q*(q - 1)**2*(q + 1)**2/9
Let k(a) be the first derivative of -5*a**3/3 + 225*a**2/2 - 10. Suppose k(r) = 0. Calculate r.
0, 45
Let x(o) = 5*o**3 - 8*o**2 - 3*o + 18. Let i(n) = -9*n**3 + 16*n**2 + 7*n - 36. Let r(f) = -6*i(f) - 11*x(f). Suppose r(a) = 0. Calculate a.
-6, -3, 1
Let h(x) be the second derivative of 0*x**2 + 1/110*x**5 + 0 - 1/33*x**3 + 1/165*x**6 - 1/66*x**4 - 19*x. Factor h(y).
2*y*(y - 1)*(y + 1)**2/11
Let h(f) = 5*f**3 - 144*f**2 + 250*f + 6. Let d(j) = 10*j**3 - 285*j**2 + 500*j + 10. Let t(p) = -3*d(p) + 5*h(p). Determine l so that t(l) = 0.
0, 2, 25
Let m(x) be the first derivative of -x**6/54 - x**5/15 - x**4/12 - x**3/27 + 52. Determine j so that m(j) = 0.
-1, 0
Let r be 2 - (-96)/(-52) - (-74)/26. Suppose 0 = -4*o + 3*y + 31, 4*y + 6 = o - 18. Determine u so that -2 - 2*u**r - 3*u - u**3 + o*u**3 = 0.
-1, 2
Let a be 2*3/(-36) - 5/6. Let r be (0/1)/(1/a). Determine f so that 0 + r*f**2 - 1/3*f + 1/3*f**3 = 0.
-1, 0, 1
Let p(o) = -16*o**2 - 24*o + 22. Let w(q) = -46*q**2 - 70*q + 65. Let m(b) = -17*p(b) + 6*w(b). Factor m(k).
-4*(k - 1)*(k + 4)
Let j = 599 - 597. Let k(q) be the third derivative of 1/8*q**4 + 0*q**3 - 2/35*q**7 + 5*q**j + 0*q - 1/10*q**5 - 7/40*q**6 + 0. Factor k(u).
-3*u*(u + 1)**2*(4*u - 1)
Let j(m) be the second derivative of m**5/20 - m**4/6 - 2*m**3/3 + 4*m**2 - 68*m. Factor j(g).
(g - 2)**2*(g + 2)
Let x(o) be the third derivative of 5*o**8/1344 + o**7/42 + o**6/24 - o**5/24 - 25*o**4/96 - 5*o**3/12 + 2*o**2 + 30*o. Determine d so that x(d) = 0.
-2, -1, 1
Let u(j) be the first derivative of -j**5/5 + 4*j**4/3 - 8*j**3/3 - j + 23. Let o(p) be the first derivative of u(p). Find q, given that o(q) = 0.
0, 2
Factor -106*k**2 - 25*k + 46 - 102*k**2 + 209*k**2.
(k - 23)*(k - 2)
Let j be (-20)/(-12) + (-28)/18. Let x(o) be the first derivative of j*o**3 + 1/3*o - 1 + 1/3*o**2. Solve x(p) = 0 for p.
-1
Let f be 8/48*(3 + -1). Let h(k) be the second derivative of 1/12*k**4 + f*k**3 + 6*k - 3/4*k**2 - 1/10*k**5 + 0 + 1/60*k**6. Factor h(c).
(c - 3)*(c - 1)**2*(c + 1)/2
Factor -48*f - 15 + 21/4*f**3 + 69/4*f**2.
3*(f - 2)*(f + 5)*(7*f + 2)/4
Let j(h) be the first derivative of 0*h - 1/5*h**3 + 0*h**2 + 11 + 3/5*h**4. Factor j(n).
3*n**2*(4*n - 1)/5
Let h(b) be the first derivative of b**4/8 + 17*b**3/2 + 156*b**2 - 338*b + 202. Suppose h(s) = 0. Calculate s.
-26, 1
Let a(u) be the second derivative of -1/20*u**4 + 3/100*u**5 + 0*u**2 + 0*u**3 + 2*u + 0. Factor a(n).
3*n**2*(n - 1)/5
Suppose 0 = -h - 0*h + 5*h. Suppose -10*v + 30*v - 280 = h. Determine j, given that -34/3*j - 98/3*j**2 - 110/3*j**3 - v*j**4 - 4/3 = 0.
-1, -1/3, -2/7
Let q be 5/3 + (6/(-5) - 1710/(-675)). Factor -q - 3/2*t**2 - 9/2*t.
-3*(t + 1)*(t + 2)/2
Find q such that -5*q + 28*q**2 - 9*q**3 - 4*q**3 + 12 - 34*q**2 + 12*q**3 = 0.
-4, -3, 1
Let g be (-1587)/2484 + (-12)/(-16). Factor -4/9 - 4/9*m - g*m**2.
-(m + 2)**2/9
Let u = 16784 + -16784. Solve u + 3/2*j - 3/4*j**2 = 0 for j.
0, 2
Let v be 2/(-240)*(5 + -7). Let m(p) be the third derivative of -1/12*p**3 - 3*p**2 + 3/32*p**4 - v*p**5 + 0*p + 0. Factor m(t).
-(t - 2)*(4*t - 1)/4
Let z be 2/(308/(-275)) - -2. Let y(h) be the first derivative of 4/21*h**3 + 0*h**2 + 3 - 3/35*h**5 - 2/7*h**4 + 0*h + z*h**6. Factor y(c).
c**2*(c + 1)*(3*c - 2)**2/7
Let m(i) be the first derivative of i**5/20 - 11*i**4/8 - 4*i**3 + 159. Factor m(j).
j**2*(j - 24)*(j + 2)/4
Find g such that -10*g**3 + 131*g**2 - 82*g**2 + g + 9*g + 47*g**2 + 30*g = 0.
-2/5, 0, 10
Let g(o) be the second derivative of 4*o**7/1365 + 7*o**6/780 - o**5/195 - 3*o**2/2 - 4*o. Let v(z) be the first derivative of g(z). Solve v(w) = 0.
-2, 0, 1/4
Let t(o) be the first derivative of 1/21*o**6 - 2/7*o**4 + 3/7*o**2 + 0*o**5 + 8 + 4/7*o - 4/21*o**3. Factor t(k).
2*(k - 2)*(k - 1)*(k + 1)**3/7
Let x(z) be the second derivative of z**7/210 + z**6/30 - 2*z**4/3 - 43*z**3/6 - 28*z. Let i(g) be the second derivative of x(g). Factor i(t).
4*(t - 1)*(t + 2)**2
Let c(n) = -22*n**2 + 34*n + 56. Suppose 0 = -y - 2*y + 18. Let b(i) = -2*i**2 + 3*i + 5. Let k(u) = y*c(u) - 68*b(u). Factor k(g).
4*(g - 1)*(g + 1)
Let v = 57802/3 - 19266. Factor v*o + 2 - 2/3*o**2.
-2*(o - 3)*(o + 1)/3
Let a be 69 + -70 - -3*1. Let v(c) be the second derivative of 0 + 1/40*c**5 + 5*c - 1/12*c**4 + 0*c**a + 1/12*c**3. Factor v(n).
n*(n - 1)**2/2
Let m(f) be the first derivative of -f**5/50 - f**4/6 - 8*f**3/15 - 4*f**2/5 - 9*f + 6. Let k(i) be the first derivative of m(i). Find s, given that k(s) = 0.
-2, -1
Let g(d) be the first derivative of -1 - 2/5*d**2 - 2/5*d - 2/15*d**3. Factor g(l).
-2*(l + 1)**2/5
Let k(c) be the first derivative of -5*c**4/4 + 30*c**2 - 80*c - 54. Factor k(a).
-5*(a - 2)**2*(a + 4)
Let g(i) be the first derivative of -1 - 1/2*i**2 - 1/60*i**5 + 0*i**3 - 1/24*i**4 + 0*i. Let r(z) be the second derivative of g(z). Factor r(p).
-p*(p + 1)
Let t = -7117/3 + 2374. Factor -4/3 - 1/3*m**3 - 8/3*m - t*m**2.
-(m + 1)*(m + 2)**2/3
Let q = 355 + -129. Solve 76*f**4 + 33*f + q*f**3 + 23*f**5 + 25*f**5 - 3 - 129*f**2 - 244*f**4 - 7*f**3 = 0 for f.
1/4, 1
Let r(q) be the second derivative of 11/100*q**5 + 3/20*q**4 + 0 + 4*q + 2/75*q**6 + 1/30*