/7 + 5433. Solve r(d) = 0 for d.
-32, -24, 1
Let v(c) be the first derivative of 44/7*c - 2/21*c**3 - 3*c**2 + 103. Suppose v(b) = 0. Calculate b.
-22, 1
Let a(r) = r**4 - 2586*r**3 + 9*r**2 + 7904*r - 5154. Let n(m) = m**4 - 5171*m**3 + 19*m**2 + 15779*m - 10309. Let d(q) = 11*a(q) - 6*n(q). Factor d(z).
5*(z - 1)**2*(z + 2)*(z + 516)
Let j = -459353/15 - -153141/5. Factor j + 5/3*f**2 - 37/3*f.
(f - 7)*(5*f - 2)/3
Let 94/7 - 2/7*v - 94/7*v**2 + 2/7*v**3 = 0. Calculate v.
-1, 1, 47
Let y(g) be the second derivative of -11*g**7/63 - 16*g**6/15 + 3*g**5/10 + 103*g**4/9 + 20*g**3/3 - 72*g**2 + 2290*g. Determine z, given that y(z) = 0.
-3, -2, 1, 18/11
Let g(z) be the first derivative of 0*z - 21/4*z**4 + 73 - 3/5*z**5 - 6*z**3 + 0*z**2. Determine q, given that g(q) = 0.
-6, -1, 0
Let t(b) be the first derivative of 2*b**6/5 - 2*b**5/5 + 40*b + 96. Let p(v) be the first derivative of t(v). Factor p(x).
4*x**3*(3*x - 2)
Suppose -2*l - 1904 = k, 1912 = -2*l + 3*k - 6*k. Let t = -947 - l. Factor 10/11*j**5 - 14/11*j**4 + 0*j + 0 + 4/11*j**t + 0*j**2.
2*j**3*(j - 1)*(5*j - 2)/11
Let u(o) = -10*o**4 - 49*o**3 + 233*o**2 - 249*o + 39. Let w(p) = 9*p**4 + 48*p**3 - 234*p**2 + 247*p - 40. Let b(c) = 5*u(c) + 6*w(c). Let b(i) = 0. What is i?
-15, 1/4, 1, 3
Suppose -18935 + 19795 = 172*d. Factor 2/5*w**d - 6/5*w - 4/5*w**2 + 4/5*w**3 + 6/5*w**4 - 2/5.
2*(w - 1)*(w + 1)**4/5
Let s(o) be the first derivative of 3*o**4/20 + 18*o**3/5 + 177*o**2/10 - 234*o/5 - 1855. Suppose s(r) = 0. What is r?
-13, -6, 1
Let q be (30/3 - 3892/417)*3/11. Let -q*k**2 - 288/11 - 48/11*k = 0. What is k?
-12
Let p(b) = 3*b**2 + 4*b + 3. Let u be p(-1). Suppose 0 = -u*m + 3*m. Solve 0*z - 2*z**4 + 104*z**2 + m*z - 102*z**2 = 0.
-1, 0, 1
Solve 1635 - 138*q**2 + 250*q**2 - 415*q - 107*q**2 - 1225*q = 0 for q.
1, 327
Let z be 10 - ((-5 - 1346) + -11). Let i = z + -9594/7. Find v, given that i*v**4 - 6*v**2 - 32/7*v + 8/7*v**3 + 8/7 = 0.
-2, -1, 1/5, 2
Let l(k) be the second derivative of k**6/40 - 231*k**5/4 + 297219*k**4/8 - 296065*k**3/2 + 1774083*k**2/8 - 41*k + 4. Factor l(y).
3*(y - 769)**2*(y - 1)**2/4
Let s be (-20)/(-5) - (1 + -2). Let v(i) = i**3 - 4*i**2 - 3*i - 4. Let h be v(s). Suppose 10*f + 1 - f + 7 + h*f**2 + 7*f = 0. Calculate f.
-2, -2/3
Let z(h) be the first derivative of 0*h**3 + 0*h**2 + 1/16*h**4 + 49 + 0*h. Find b, given that z(b) = 0.
0
Let w(f) = 10*f**4 - 140*f**3 - 62*f**2 + 10*f - 26. Let y(m) = -m**4 + 16*m**3 + 7*m**2 - m + 3. Let k(n) = 3*w(n) + 26*y(n). Solve k(v) = 0 for v.
-1, 0, 1
Suppose -29*r + 3 - 3 = 0. Let z(n) be the third derivative of r + 0*n + 2*n**2 - 1/14*n**3 + 1/84*n**4 + 1/420*n**5. Factor z(f).
(f - 1)*(f + 3)/7
Let m(z) be the first derivative of -8/3*z**3 + 1/3*z**4 + 2/5*z**5 + 8/3*z**2 - 1/9*z**6 + 0*z + 149. Find h, given that m(h) = 0.
-2, 0, 1, 2
Suppose 208/3 + 4/9*j**2 + 2/9*j**3 - 238/9*j = 0. What is j?
-13, 3, 8
Suppose -5*u = -10 - 10. Suppose 26 - 201 = -35*n. Factor 0*z**2 - u*z**2 + 20 + 4*z - n - 7.
-4*(z - 2)*(z + 1)
Let m(b) be the third derivative of 1/60*b**5 + 19/1050*b**7 - 1/420*b**8 + 0 - 9*b**2 - 23/600*b**6 - 4*b + 0*b**3 + 1/40*b**4. Let m(v) = 0. Calculate v.
-1/4, 0, 1, 3
Let j(u) be the first derivative of u**6/630 - u**5/21 + 3*u**4/14 - 10*u**3/3 - 2*u - 63. Let h(n) be the third derivative of j(n). Solve h(v) = 0 for v.
1, 9
Let c be (74/(-30) + (-12)/(-18))*(-239)/717. Factor 0*l + 0 - c*l**3 + 0*l**2 + 9/5*l**5 - 6/5*l**4.
3*l**3*(l - 1)*(3*l + 1)/5
Let b(h) be the second derivative of h**7/42 - h**6/10 - h**5/2 + 5*h**4/2 + 3*h**3/2 - 27*h**2/2 + h + 169. Suppose b(m) = 0. Calculate m.
-3, -1, 1, 3
Let j(x) = -83*x**3 + 377*x**2 + 1037*x - 173. Let i(r) = 42*r**3 - 186*r**2 - 519*r + 87. Let y(z) = -5*i(z) - 3*j(z). Find n such that y(n) = 0.
-2, 2/13, 7
Suppose 4*t = u, -4*t - 25*u = -28*u. Let a(j) be the third derivative of 0 + 15*j**2 + 0*j**4 + 1/120*j**6 + 0*j**5 + 0*j + t*j**3. Factor a(k).
k**3
Suppose 0 = 53*k - 67*k - 14. Let g be (-6)/27*9/k. Factor -1/4*h**g - 1/2*h + 0.
-h*(h + 2)/4
Let r be (-1374)/(-840) + 446/(-12488). Find l such that 2/5 + r*l + 12/5*l**2 + 2/5*l**4 + 8/5*l**3 = 0.
-1
Let b(l) = -40*l - 37 - 32*l - 25 - 57 + 65*l. Let s be b(-17). Factor 2/3*r**3 + 0*r + s + 4/3*r**2.
2*r**2*(r + 2)/3
Let w(i) be the second derivative of i**4/54 + 133*i**3/27 + 44*i**2/3 + 176*i - 3. Suppose w(a) = 0. Calculate a.
-132, -1
Let h(a) be the third derivative of a**5/40 + 226*a**4 + 817216*a**3 - 44*a**2 - 6. Factor h(k).
3*(k + 1808)**2/2
Let v(s) be the third derivative of -23*s**5/140 - 113*s**4/56 + 5*s**3/7 + 2*s**2 + 101*s. Factor v(r).
-3*(r + 5)*(23*r - 2)/7
Let t = -6 - -22. Let z be 2/9 + t/(-72). Factor 1/4*x**2 - 1/4 + z*x.
(x - 1)*(x + 1)/4
Factor -949*z**3 + 388 + 772*z + 945*z**3 + 238*z**2 + 142*z**2.
-4*(z - 97)*(z + 1)**2
Let d = -277680 - -555801/2. Find h such that -1/2*h**3 - 399/2*h + 41/2*h**2 - d = 0.
-1, 21
Let h(b) be the third derivative of -b**5/15 - 159*b**4/8 - 119*b**3/6 - b**2 + 380*b. Suppose h(f) = 0. What is f?
-119, -1/4
Suppose 9*r = 17*r - 32. Let r*i**3 - 38*i**2 + 12*i**3 - 18*i**3 - 34 - 70*i = 0. Calculate i.
-17, -1
Find g such that -16/3*g**2 - 178/3*g + 2/3*g**3 + 208 = 0.
-8, 3, 13
Let b(c) = c**3 - 7*c**2 - 5*c + 38. Let z(w) = -7*w**3 + 4*w**2 + 6*w + 2. Let a be z(-1). Let x be b(a). Factor 0 + 0*i**2 - 2/9*i**x + 0*i.
-2*i**3/9
Let m(x) be the second derivative of x**5/30 + 25*x**4/18 + 88*x**3/9 + 28*x**2 + 8745*x. Let m(o) = 0. Calculate o.
-21, -2
Factor -33/2*i**2 - 87/2 + 119/2*i + 1/2*i**3.
(i - 29)*(i - 3)*(i - 1)/2
Let c = 607 + -601. Let t(j) be the third derivative of 5*j**2 - 2/35*j**7 + 1/8*j**c + 0*j + 0*j**3 + 0*j**4 + 0 + 1/112*j**8 - 1/10*j**5. Factor t(v).
3*v**2*(v - 2)*(v - 1)**2
Let p = -2 - -12. Suppose -18*r + p = -13*r. What is l in 204*l - 21*l**2 - 123*l + 3*l**3 - 6*l**r - 81 = 0?
3
Let t be 26/2 + (62 - (130 - 60)). Factor 0 + 1/4*x**4 + 1/4*x**t - 1/4*x**3 - 1/4*x**2 + 0*x.
x**2*(x - 1)*(x + 1)**2/4
Suppose 843*d - 100 = 841*d. Let v be 1 + 8 - 410/d. Factor 45*k**2 + v - 12*k.
(15*k - 2)**2/5
Let q(u) be the first derivative of 20*u + 2/3*u**3 + 47 + 11*u**2. Determine f so that q(f) = 0.
-10, -1
Let o be (14630/(-540))/19 + 6/4. Let t(x) be the first derivative of 2*x - 13 + o*x**3 + 2/3*x**2. Find p such that t(p) = 0.
-3
Let x be ((-58)/3)/(-7 + 549/81). Factor 0*k**2 + 16*k**4 - 116*k**3 + x*k**2 + 20 - 124*k + 117*k**2.
4*(k - 5)*(k - 1)**2*(4*k - 1)
Let k(p) = -6*p**3 + 31*p**2 + 241*p + 232. Let l(m) = -2*m + 11*m**3 - 20*m**3 + 8*m**3 + 1. Let c(y) = 4*k(y) - 28*l(y). Factor c(g).
4*(g + 1)*(g + 15)**2
Let v = 65 - 67. Let n be (40/(-90))/(v/18). Solve 0*o**3 + 1/8*o**n + 0*o**2 + 1/8*o**5 + 0*o + 0 = 0.
-1, 0
Let p(f) be the first derivative of 2*f**3/39 - 73*f**2/13 + 1152*f/13 + 6790. Factor p(y).
2*(y - 64)*(y - 9)/13
Let k(f) be the third derivative of -f**6/120 + 49*f**4/24 + 20*f**3 + 1029*f**2. Factor k(n).
-(n - 8)*(n + 3)*(n + 5)
Let y(u) be the third derivative of -u**7/1260 - u**6/48 + u**5/20 + 2*u**4/9 - 2450*u**2. What is w in y(w) = 0?
-16, -1, 0, 2
Suppose 165*d - 62 = 164*d. Let q be d/56 + 162/(-189). Determine b, given that -1/4*b - 1/4*b**4 + 1/4*b**3 + q*b**2 + 0 = 0.
-1, 0, 1
Solve 0 - 96*o + 152*o**2 - 131/2*o**3 + 10*o**4 - 1/2*o**5 = 0.
0, 1, 3, 8
Let i(y) be the third derivative of y**6/480 - y**5/30 + 17*y**4/96 - 5*y**3/12 - 5*y**2 - 25*y. Factor i(w).
(w - 5)*(w - 2)*(w - 1)/4
Let g(d) = -5*d**5 - 15*d**3 - 41*d**2 - 3*d + 9. Let h(x) = 3*x**5 + 7*x**3 + 21*x**2 + x - 5. Let t(s) = -5*g(s) - 9*h(s). Factor t(f).
-2*f*(f - 3)*(f + 1)**3
Suppose -44 = -x - x - 28, -8 = -4*n + x. Solve 27/2*h + 3/8*h**n + 15/4*h**3 + 99/8*h**2 + 0 = 0.
-4, -3, 0
Let u be 16/(-64) - (-519)/(-2). Let d = u + 262. Factor -33/4*m - 4*m**3 - 10*m**2 - d.
-(m + 1)*(4*m + 3)**2/4
Suppose 14/3*m**3 + 96*m + 128/3 - 4*m**4 + 184/3*m**2 - 2/3*m**5 = 0. What is m?
-4, -1, 4
Let f(t) be the third derivative of -t**6/300 - 13*t**5/75 - 83*t**4/60 + 22*t**3/3 + 1328*t**2. Factor f(v).
-2*(v - 1)*(v + 5)*(v + 22)/5
Let u be ((-36)/(-27))/(-2) - (8 - 10). Factor -u*o**2 - 56*o - 588.
-4*(o + 21)**2/3
Let l(o) be the second derivative of 5*o**4/84 - 199*o**3/14 - 180*o**2/7 + 150*o - 8. Factor l(j).
(j