/(3/2)). Factor 4/3*a**2 - 2*a**o + 2/3*a**4 + 0 + 0*a.
2*a**2*(a - 2)*(a - 1)/3
Let h(u) be the third derivative of 0*u**3 + 1/90*u**5 + 0*u**4 + 0*u + 0 + 5*u**2 - 1/360*u**6. Factor h(q).
-q**2*(q - 2)/3
Determine q, given that -4*q**4 + 5*q**4 - 9*q**2 - 59*q**3 + 60*q**3 + 0*q**2 - 25*q - 16*q**2 = 0.
-5, -1, 0, 5
Let p(n) be the first derivative of 9 + 0*n**2 - 5*n + 5/3*n**3. Solve p(z) = 0.
-1, 1
Let z(c) be the second derivative of -4/5*c**4 + 0 - 1/25*c**6 - 10*c + 0*c**2 + 3/10*c**5 + 4/5*c**3. Find a such that z(a) = 0.
0, 1, 2
Let x(v) be the second derivative of -v**7/462 + 2*v**6/165 - v**5/55 - 9*v - 12. Factor x(q).
-q**3*(q - 2)**2/11
Let a(k) be the second derivative of k**6/10 + 27*k**5/20 + 15*k**4/4 - 25*k**3/2 - k - 27. Factor a(s).
3*s*(s - 1)*(s + 5)**2
Let b = 1435 - 5731/4. Factor 9/4*a**2 - 3/4*a**3 - b*a + 3/4.
-3*(a - 1)**3/4
Suppose 0 = 2*t + 2*t + 4. Let w(d) = 10*d. Let x(h) be the third derivative of h**5/60 + h**3/6 - 3*h**2. Let p(v) = t*w(v) - 4*x(v). Factor p(g).
-2*(g + 2)*(2*g + 1)
Let b(a) be the third derivative of a**6/960 - a**5/80 + 3*a**4/64 + 23*a**3/6 - 18*a**2. Let k(h) be the first derivative of b(h). Factor k(s).
3*(s - 3)*(s - 1)/8
Factor 36/7*s**2 + 2/7*s**3 + 60/7 + 94/7*s.
2*(s + 1)*(s + 2)*(s + 15)/7
Determine l, given that -l**3 - 14*l + 5*l**2 - l - 10 + 5*l**4 + 6*l**3 + 10*l**3 = 0.
-2, -1, 1
Let t(q) be the second derivative of 3*q + q**4 + 2*q**3 + 0 + 0*q**2 - 9/20*q**5. Factor t(c).
-3*c*(c - 2)*(3*c + 2)
Suppose 71 - 1 = 7*h. Let c(s) = 3*s**2 + 8*s + 24. Let o(p) = -p**2 - 4*p - 12. Let r(x) = h*o(x) + 4*c(x). Determine d so that r(d) = 0.
-2, 6
Let q(b) be the first derivative of 0*b**2 + 1/16*b**4 + 0*b - 12 + 0*b**3. Suppose q(r) = 0. What is r?
0
Let m = -4733 + 4733. Factor 0*b**3 + 0 + m*b + 3/5*b**4 - 3/5*b**2.
3*b**2*(b - 1)*(b + 1)/5
Let k be (-1905)/(-1032) - (1 - (0 + -1)). Let v = k - -12/43. Suppose -3/4*o**2 + 0 - v*o**3 - 9/8*o = 0. What is o?
-3, 0
Suppose 0 = -3*a - 30 + 33. Find z, given that -16 + 8*z + 5 - a + 4*z**2 = 0.
-3, 1
Let b(f) be the second derivative of 3/20*f**5 - 3/10*f**6 + 3/4*f**4 + 0 - f**3 + 1/14*f**7 + 20*f + 0*f**2. What is k in b(k) = 0?
-1, 0, 1, 2
Let u = 59/291 - -45/97. Determine d, given that -4/3*d - 2/3*d**4 - 2/3*d**5 + 2*d**3 + u*d**2 + 0 = 0.
-2, -1, 0, 1
Let z = -212 + 1499/7. Let s = 97/42 - z. Factor 0*u**2 - s - 1/3*u + 1/6*u**4 + 1/3*u**3.
(u - 1)*(u + 1)**3/6
Let o = 22 + -13. Let n = 21 - o. Let j(v) = v**2 - 1. Let r(k) = -10*k**2 - 4*k + 12. Let f(x) = n*j(x) + r(x). What is i in f(i) = 0?
0, 2
Suppose 2*v = -9*h + 13*h + 4, 2*v - 5*h = 5. Let n(z) be the second derivative of v*z**3 + 9*z + 0 + 3/10*z**5 + 0*z**2 + 1/3*z**4. Let n(u) = 0. Calculate u.
-2/3, 0
Suppose 2*w = 2 + 4. Suppose -5*z + 3 = -4*h, -2*z = -6*h + w*h + 3. Solve 6*n**h + 7*n + 2*n**3 - 7*n**2 - 2 - 6*n**3 = 0.
1/2, 1, 2
Let b(u) be the first derivative of -16*u**3/15 - 18*u**2/5 - 8*u/5 + 68. Find w such that b(w) = 0.
-2, -1/4
Suppose 0 = 2*w - 4*h - 24 - 20, -2*w + 59 = h. Factor -56 + w - 7*t**2 + 34 - 19*t.
-(t + 3)*(7*t - 2)
Factor -4*o**4 - 3*o**4 - 16*o + 4*o**3 + 5*o**4 - 2*o**4 + 16*o**2.
-4*o*(o - 2)*(o - 1)*(o + 2)
Let l(u) be the first derivative of u**6/144 - u**5/8 + 15*u**4/16 + 10*u**3/3 - 12. Let n(b) be the third derivative of l(b). Factor n(z).
5*(z - 3)**2/2
Determine i so that 3/4*i**3 - 3/2*i**2 + 0*i + 0 = 0.
0, 2
Let z(m) = m**4 - 2*m. Let n(h) = h**4 - 11*h**3 + 3*h**2 - 10*h. Let j(o) = -n(o) + 5*z(o). Let j(q) = 0. What is q?
-3, 0, 1/4
Let m(w) = -16*w**2 + 76*w - 224. Let r(h) = -19*h**2 + 73*h - 223. Let x(c) = 5*m(c) - 4*r(c). Find p, given that x(p) = 0.
3, 19
Let q(i) be the third derivative of -i**7/945 + i**6/540 + i**5/135 + 75*i**2. Suppose q(b) = 0. Calculate b.
-1, 0, 2
Let t(h) be the first derivative of 2*h**3/21 + 8*h**2/7 + 24*h/7 - 5. Suppose t(y) = 0. What is y?
-6, -2
Let s = -48 - -50. Let 8*b**3 + 4*b**3 + 69*b**s - 6*b**4 - 3*b**5 - 45*b**2 = 0. What is b?
-2, 0, 2
Let g be (((-60)/(-231))/2)/(((-2769)/546)/(-71)). Find k such that 6/11*k**5 + 4/11 - g*k**3 + 4/11*k**4 - 2/11*k - 24/11*k**2 = 0.
-1, 1/3, 2
Let b = 1978 - 7911/4. Solve b - 2*w**2 + 7/4*w**4 + 3/8*w - 3/8*w**3 = 0.
-1, -2/7, 1/2, 1
Let g(l) be the third derivative of 35*l**8/96 - l**7 - 185*l**6/24 - 37*l**5/3 - 105*l**4/16 - 5*l**3/3 - 225*l**2. Find q, given that g(q) = 0.
-1, -1/7, 4
Let w(p) be the second derivative of -4*p**6/15 + 9*p**5/5 + 34*p**4/3 + 6*p**3 - 28*p**2 + 314*p. Determine t so that w(t) = 0.
-2, -1, 1/2, 7
Let i(f) be the third derivative of f**6/480 + 3*f**5/10 + 47*f**4/32 + 35*f**3/12 - 6*f**2 + 20*f. Factor i(x).
(x + 1)**2*(x + 70)/4
Let b be (1 - 8)*(-52)/91. Suppose -3*a**5 + 8*a**2 - 30*a**b + 7*a**5 - 4*a**3 + 22*a**4 = 0. What is a?
-1, 0, 1, 2
Let g be 116/8 + (-196)/84*6. Factor 2*o**3 - 2*o - 1/2 + g*o**2.
(o - 1)*(o + 1)*(4*o + 1)/2
Solve 36/5*k + 0 + 3/5*k**2 = 0.
-12, 0
Let h(r) be the first derivative of -r**6/450 - r**5/75 + r**4/10 - 22*r**3/3 + 34. Let c(g) be the third derivative of h(g). Factor c(m).
-4*(m - 1)*(m + 3)/5
Factor -1473*n**3 - 11*n**4 - 3 + 1501*n**3 + 3 - 98*n**2 + 68*n + 13*n**4.
2*n*(n - 2)*(n - 1)*(n + 17)
Let d = -1097 - -1102. Let o(x) be the third derivative of 0*x**3 + 0*x**6 + 0 - 1/210*x**7 + 1/12*x**4 + 1/20*x**5 + 0*x - d*x**2. Let o(r) = 0. What is r?
-1, 0, 2
Factor -137*b + 2*b**4 - 283*b - 60*b**3 - 250*b**2 - 225 - 7*b**4.
-5*(b + 1)*(b + 3)**2*(b + 5)
Let m(g) be the second derivative of g**6/70 + g**5/140 - 3*g**4/28 + g**3/14 + g**2/7 + 110*g. Let m(y) = 0. What is y?
-2, -1/3, 1
Let j = -6277/15 + 1256/3. Factor 1/5*w**2 - j*w - 2/5.
(w - 2)*(w + 1)/5
Let d(z) be the third derivative of z**8/840 + 8*z**7/525 - z**6/25 - 11*z**5/75 + 43*z**4/60 - 6*z**3/5 + 854*z**2. Factor d(s).
2*(s - 1)**3*(s + 2)*(s + 9)/5
Let g(r) be the second derivative of -r**7/98 + 3*r**5/70 - r**3/14 + r + 6. Let g(d) = 0. What is d?
-1, 0, 1
Factor -2*g**3 + 52*g - 12*g + 2*g**2 + 2*g**2 + 34*g**2.
-2*g*(g - 20)*(g + 1)
Let x(f) be the first derivative of -6*f**5/5 - 13*f**4/2 + 22*f**3/3 + 5*f**2 + 158. Factor x(s).
-2*s*(s - 1)*(s + 5)*(3*s + 1)
Let o be ((-136)/(-612) - 26/90)*-2. Suppose 2/3*k**4 + 0*k - 4/5*k**3 - o*k**5 + 0 + 0*k**2 = 0. What is k?
0, 2, 3
Let o(r) be the third derivative of -9*r**5/20 - 31*r**4/4 + 40*r**3 - 7*r**2 + 10. Suppose o(l) = 0. Calculate l.
-8, 10/9
Let d(h) be the first derivative of 3*h**5/40 + 9*h**4/16 + 3*h**3/2 + 3*h**2/2 + 279. Find f such that d(f) = 0.
-2, 0
Let a = -736 + 2945/4. Let k(v) be the second derivative of a*v**2 + 9*v - 1/40*v**5 + 1/8*v**4 - 1/4*v**3 + 0. Factor k(w).
-(w - 1)**3/2
Let v(m) be the second derivative of m**5/10 - m**4 + 3*m**3 + 3*m + 38. Solve v(s) = 0 for s.
0, 3
Let c(t) be the second derivative of t**5/40 + 7*t**4/16 - 17*t**3/6 - 39*t**2/8 + t - 681. Factor c(b).
(b - 3)*(b + 13)*(2*b + 1)/4
Let t(j) = j**3 - 7*j - 2*j + 1 + 0*j + j**4 + 8*j. Let n(p) = -8*p**4 - 41*p**3 - 45*p**2 + 5*p + 13. Let l(s) = n(s) + 2*t(s). What is w in l(w) = 0?
-5, -1, 1/2
Let q(r) be the second derivative of -r**6/30 - r**5/4 + 7*r**4/12 + 5*r**3/6 - 3*r**2 + r - 13. What is z in q(z) = 0?
-6, -1, 1
Let v(i) be the third derivative of i**7/1260 - 7*i**6/360 + i**5/10 - 17*i**4/72 + 11*i**3/36 - 35*i**2 - 3*i. Solve v(j) = 0 for j.
1, 11
Let p be 1/((1 - 2) + (-24)/(-20)). Find c such that -16 + 24*c**4 - 46*c**3 - 9*c**2 - 58*c**2 + 18*c**p - 41*c**2 - 72*c = 0.
-1, -2/3, 2
Let m = 409/15 - 27. Let z(d) be the third derivative of -1/3*d**3 - 7/12*d**4 - 4/15*d**5 + 0 + 0*d + m*d**6 - 6*d**2. Factor z(y).
2*(y - 1)*(4*y + 1)**2
Let m(v) be the second derivative of 2*v**6/45 - 11*v**5/12 + 43*v**4/18 - 23*v**3/18 - 2*v**2 + 270*v. Determine b, given that m(b) = 0.
-1/4, 1, 12
Let y(i) be the first derivative of -i**4/48 + i**3/24 + 12*i - 7. Let s(d) be the first derivative of y(d). Factor s(k).
-k*(k - 1)/4
Let h(u) = -7*u**3 - 29*u**2 - 90*u - 85. Let d(m) = 3*m**3 + 14*m**2 + 45*m + 44. Let p(i) = 5*d(i) + 2*h(i). Solve p(q) = 0.
-5, -2
Let -27/2*k**2 - 1/2*k**4 + 25/2*k - 4 + 11/2*k**3 = 0. Calculate k.
1, 8
Suppose 4*b = -6*a + a - 11, 4*a = -b. Let n be (a/(-4)*1)/(5/(-4)). Let 49/5*j**2 + 14/5*j + n = 0. Calculate j.