rivative of u**3 - 3*u**2 - u**2 - 3*u**3 + 12 + 4*u + 3*u**2. Suppose c(h) = 0. Calculate h.
-1, 2/3
Let l(q) be the second derivative of -q**7/1890 - q**6/1080 + q**5/270 - 37*q**2/2 - 27*q. Let w(a) be the first derivative of l(a). Factor w(m).
-m**2*(m - 1)*(m + 2)/9
Let a(k) = 48*k**5 - 96*k**3 + 33*k**2 + 81*k. Let r(g) = 3*g**5 - 6*g**3 + 2*g**2 + 5*g. Let v(m) = 2*a(m) - 33*r(m). Factor v(l).
-3*l*(l - 1)**2*(l + 1)**2
Suppose -3*b + 21 = -3*q, 3*b - 3*q = q + 26. Factor 3*p + p + 6*p + 0*p**3 - 5*p**3 + 5*p**b.
-5*p*(p - 2)*(p + 1)
Let g(w) be the second derivative of -w**7/280 + w**5/80 + 15*w**2/2 + 10*w. Let z(d) be the first derivative of g(d). Factor z(b).
-3*b**2*(b - 1)*(b + 1)/4
Let w(q) be the first derivative of 2*q**5/5 + 4*q**4 - 2*q**3/3 - 8*q**2 + 462. Let w(u) = 0. Calculate u.
-8, -1, 0, 1
Let d(x) be the first derivative of 2*x**3/21 + 54*x**2/7 + 106*x/7 + 368. Factor d(f).
2*(f + 1)*(f + 53)/7
Let f(h) = 7*h**3 - 286*h**2 + 10095*h + 10363. Let p(y) = 4*y**3 - 143*y**2 + 5049*y + 5181. Let j(l) = -3*f(l) + 5*p(l). Find a, given that j(a) = 0.
-1, 72
Suppose -29*s = -33*s. Suppose -3*m + 6 = -y + 4*y, s = 4*y - m - 8. Let 1/3*g + 1/3*g**y - 1/3*g**4 - 1/3*g**3 + 0 = 0. Calculate g.
-1, 0, 1
Suppose 734 - 785 = -17*z. Factor -1/5*h**4 + 0*h - 2/5*h**z - 1/5*h**2 + 0.
-h**2*(h + 1)**2/5
Let q(n) be the second derivative of 7/32*n**4 + 15*n + 0 - 1/8*n**3 + 0*n**2 - 3/32*n**5. Factor q(b).
-3*b*(b - 1)*(5*b - 2)/8
Let f(h) = h + h + 2669 - 2659. Let b be f(-5). Factor 0 + 0*l + b*l**3 + 1/5*l**4 - 1/5*l**5 + 0*l**2.
-l**4*(l - 1)/5
Suppose -4*l + 36 = -5*o, 39*o - 34*o = -3*l - 8. Let y(m) be the second derivative of 0 + 0*m**2 - 1/2*m**3 - 1/4*m**l + 5*m. Solve y(b) = 0.
-1, 0
Let c(j) be the first derivative of 3*j**5/5 - 21*j**4/2 + 33*j**3 + 168*j**2 + 192*j - 4. Factor c(m).
3*(m - 8)**2*(m + 1)**2
Let z(c) be the first derivative of -4*c**5/15 - c**4/3 + c**3/3 + 2*c**2/3 + c/3 + 681. Let z(m) = 0. What is m?
-1, -1/2, 1
Let s(q) be the third derivative of -q**7/1365 - 2*q**6/195 - 11*q**5/195 - 2*q**4/13 - 3*q**3/13 + 5*q**2 - 23. Factor s(m).
-2*(m + 1)**2*(m + 3)**2/13
Solve -9 - 93*u - 961/4*u**2 = 0 for u.
-6/31
Suppose y - 4*y = 0. Suppose 0 = m + 3*h, y*m + 6 = m - 3*h. Factor -6*i**3 + i**2 - 5*i**2 + 5*i**3 + 5*i**m.
4*i**2*(i - 1)
Suppose 10*c + 3 = 23. Let g(s) be the first derivative of -1/18*s**3 - 3 + 0*s + 1/6*s**c. Factor g(q).
-q*(q - 2)/6
Let a(c) be the first derivative of -c**3/2 - 177*c**2/4 - 87*c - 121. Factor a(n).
-3*(n + 1)*(n + 58)/2
Suppose -33*i = -32*i + 66. Let z be 18/i*6/(-9)*1. Factor z*q**2 + 4/11*q + 0.
2*q*(q + 2)/11
Let a = 569/9 + -63. Let h(i) be the third derivative of -1/36*i**4 + 3*i**2 + a*i**3 + 0*i - 1/45*i**5 + 1/180*i**6 + 0. Factor h(z).
2*(z - 2)*(z - 1)*(z + 1)/3
Let f(l) = l**2 - l + 1. Let w(v) = v**3 - 6*v**2 + 14*v - 8. Let k(n) = 3*n + 1. Let p be k(0). Let t(o) = p*w(o) - f(o). Factor t(q).
(q - 3)**2*(q - 1)
Let t(j) be the first derivative of -4*j**7/315 - 7*j**6/180 + j**5/45 + 3*j**2 + 3. Let y(n) be the second derivative of t(n). Factor y(g).
-2*g**2*(g + 2)*(4*g - 1)/3
Let s be 2/(-14) + 66/21*1. Let p(t) be the first derivative of -3/2*t**2 - 1 - 1/4*t**4 - t**s - t. Suppose p(f) = 0. What is f?
-1
Let a(r) be the second derivative of r**5/4 + 325*r**4/4 + 21125*r**3/2 + 1373125*r**2/2 + 214*r. Factor a(k).
5*(k + 65)**3
Let g(w) be the second derivative of -w**6/72 + w**5/3 - 10*w**4/3 - 5*w**3/6 + 7*w. Let x(j) be the second derivative of g(j). Factor x(s).
-5*(s - 4)**2
Let n(w) be the third derivative of -w**5/450 + 5*w**4/36 + 26*w**3/45 + 24*w**2. Factor n(f).
-2*(f - 26)*(f + 1)/15
Let m = 6131/5 + -1225. Determine k so that 4/5*k - 24/5*k**3 - m*k**2 - 14/5*k**4 + 0 = 0.
-1, 0, 2/7
Let x(i) be the first derivative of 3 + 1/2*i**4 - 2/5*i**3 + 0*i - 2/5*i**2. Factor x(j).
2*j*(j - 1)*(5*j + 2)/5
Let q(b) be the third derivative of b**6/180 - 2*b**3/3 - 11*b**2. Let t(j) be the first derivative of q(j). Find p such that t(p) = 0.
0
Suppose 0 = -7*b - 4*b + 4*b. Suppose b = -l - 3*l + c + 8, 2*c = -5*l + 10. Solve 2/9*h**l + 2/3*h + 4/9 = 0 for h.
-2, -1
Let g(n) = 92*n + 1200. Let y be g(-13). Factor 9/7*s**2 + 0 + 0*s**3 - 6/7*s - 3/7*s**y.
-3*s*(s - 1)**2*(s + 2)/7
Let i = 16 + -14. Solve 9*f**i - 3*f**2 - f**2 - 5*f = 0.
0, 1
Suppose -y + 7 = -2*o, 0 = y + 2*o - 3 + 4. Let s(m) = -m**3 + m**2 + 1. Let f(d) = -9*d**3 - 11*d**2 + 11. Let k(l) = y*s(l) - f(l). Factor k(w).
2*(w + 1)*(w + 2)*(3*w - 2)
Suppose 23*s + 14*s = 74. Factor 2 + 4/3*z + 2/9*z**s.
2*(z + 3)**2/9
Let w be (-370)/777*(-2)/10. Factor -8/21*v - 2/7 - w*v**2.
-2*(v + 1)*(v + 3)/21
Let u = 1908 - 1904. Let a(t) be the third derivative of u*t**2 + 0 + 0*t - 1/40*t**5 - 1/160*t**6 + 0*t**3 + 3/32*t**4. Find o, given that a(o) = 0.
-3, 0, 1
Let x(h) be the first derivative of 2*h**5/5 - 5*h**4/2 - 28*h**3/3 + 439. Factor x(v).
2*v**2*(v - 7)*(v + 2)
Let i(u) be the first derivative of 8*u**6/3 - 76*u**5/5 + 24*u**4 + 28*u**3/3 - 56*u**2 + 48*u + 34. Suppose i(x) = 0. Calculate x.
-1, 3/4, 1, 2
Let t = 130 - 126. Let j(y) be the second derivative of 0*y**2 - 2*y + 1/21*y**t - 1/21*y**3 - 1/70*y**5 + 0. Factor j(q).
-2*q*(q - 1)**2/7
Let j(w) be the third derivative of -w**8/120960 + w**6/1080 - 7*w**5/20 + 5*w**2 + 2. Let p(r) be the third derivative of j(r). Factor p(q).
-(q - 2)*(q + 2)/6
Let l = -14 - -12. Let c be 5 + (l - 3/(-3)). Let d(b) = -6*b**3 + 6*b**2 + 8*b. Let p(u) = -u**3 + u**2 + u. Let x(i) = c*p(i) - d(i). Solve x(k) = 0.
-1, 0, 2
Factor -2/3*q**2 + 10/3*q + 0.
-2*q*(q - 5)/3
Let k = -37015/28 + 1322. Let h(f) be the third derivative of -1/70*f**5 + 0 + 0*f - 9*f**2 - 1/21*f**3 - 1/420*f**6 - k*f**4. Factor h(c).
-2*(c + 1)**3/7
Let d = -17/5 + 119/10. Let b = 10 - d. Solve 1/2*i**3 - 2 + b*i**2 + 0*i = 0.
-2, 1
Let x(o) be the third derivative of o**7/280 + o**6/60 - 23*o**3/6 + 16*o**2. Let b(r) be the first derivative of x(r). Factor b(y).
3*y**2*(y + 2)
Let i(v) be the second derivative of 7*v - 1/126*v**7 + 0*v**4 + 0 + 0*v**2 + 0*v**5 - 1/90*v**6 + 0*v**3. Let i(m) = 0. What is m?
-1, 0
Let s be (6 + -10 - -4)/(-1 - -2). Suppose -4*h - h + 5*q = 25, s = h + 3*q - 15. Factor h - 2/3*y**2 + 2/3*y.
-2*y*(y - 1)/3
Let l(s) be the second derivative of s**6/30 + s**5/10 - 11*s**4/12 - 2*s**3 + s + 139. Factor l(b).
b*(b - 3)*(b + 1)*(b + 4)
Let a = 5441 - 38085/7. Let 0*m**2 + 0 + 8/7*m - 6/7*m**3 + a*m**4 = 0. Calculate m.
-1, 0, 2
Let i be (-6)/(-35) + (656/40 - 16). Factor 40/7*b - 100/7 - i*b**2.
-4*(b - 5)**2/7
Factor 1/5*q**4 + 59/5*q**2 + 29/5*q + 31/5*q**3 + 0.
q*(q + 1)**2*(q + 29)/5
Let c(o) be the third derivative of -o**6/420 + 4*o**5/105 - 5*o**4/21 + 16*o**3/21 + 8*o**2. Factor c(i).
-2*(i - 4)*(i - 2)**2/7
Let m(o) be the third derivative of -1/30*o**6 + 0 + 0*o - 2/35*o**7 + 1/42*o**8 - 1/6*o**4 + 0*o**3 + 1/5*o**5 - 18*o**2. Solve m(p) = 0 for p.
-1, 0, 1/2, 1
Suppose o = -o. Let f be (-62)/(-10) - (1640/40 - 36). Factor -f*x - 4/5 + o*x**2 + 2/5*x**3.
2*(x - 2)*(x + 1)**2/5
Let n = -47 - -46. Let u be (-55)/(-33)*n/(-5). Factor 0*z**2 + u*z**4 + 2/3*z**3 - 1/3 - 2/3*z.
(z - 1)*(z + 1)**3/3
Let z(m) be the first derivative of -9*m**3 + 15*m**2 - 3*m - 288. What is n in z(n) = 0?
1/9, 1
Factor -1/7*w**3 - 85184/7 - 5808/7*w - 132/7*w**2.
-(w + 44)**3/7
Suppose o - 5*s - 18 = 0, s - 38 = 10*o - 15*o. Suppose -k + 3*h + 2 = -o, 4*h = -8. What is z in 0 + 0*z**2 - 2/3*z**3 + 0*z + 4/3*z**k = 0?
0, 1/2
Let u(q) be the second derivative of q**7/63 - 7*q**6/60 - 43*q**5/120 + 83*q**4/18 - 28*q**3/3 + 16*q**2/3 + 277*q. Determine t so that u(t) = 0.
-4, 1/4, 1, 4
Let u be (1 + -22)*(-34)/(-3). Let f be (6/(-7))/(374/u). Factor -f - 2/11*a**3 - 10/11*a**2 - 14/11*a.
-2*(a + 1)**2*(a + 3)/11
Let y(k) be the third derivative of -3*k**3 - 37/120*k**5 + 6*k**2 + 0 - 5/4*k**4 - 1/420*k**7 - 1/24*k**6 + 0*k. Suppose y(i) = 0. What is i?
-3, -2
Let k be ((2 + -3 - 7)*-1)/(-27 - -37). Factor -8/5*q**4 + k*q**5 + 4/5*q**3 + 0*q**2 + 0 + 0*q.
4*q**3*(q - 1)**2/5
Suppose d + 5 = 0, 2*y + 2*d = 336 - 340. Factor 0 - 2/5*k - 2/5*k**y - 4/5*k**2.
-2*k*(k + 1)**2/5
Let r(g) be the third derivative of -3*g**7/350 - 59*g**6/200 - 19*g**5/50 - 267*g**2. Factor r(t).
-3