+ 2. Suppose h(o) = 0. Calculate o.
-21, 2
Let b be 5/(30/12) - -1. Let d = 6 + -4. Factor -1/4 - 3/4*t - 1/4*t**b - 3/4*t**d.
-(t + 1)**3/4
Suppose 23*v = 21*v + 24. Suppose -4*u + u - 5*b + 29 = 0, -3*b + v = 0. Factor 3*n + n**3 - 5*n**3 + n**u.
-3*n*(n - 1)*(n + 1)
Suppose -2*y - 195 = -7*y - 5*d, -156 = -4*y - d. Let w = -11 + 15. Factor 2*b**2 + 2*b**w - 4*b**2 + y*b**3 - 39*b**3.
2*b**2*(b - 1)*(b + 1)
Let l(a) = a**3 + 6*a**2 + 11*a. Let b(p) = -2*p**3 - 17*p**2 - 32*p. Let j = 15 - 32. Let o(q) = j*l(q) - 6*b(q). Find h such that o(h) = 0.
-1, 0, 1
Let m(b) be the third derivative of -b**3 + 3/8*b**4 + 1/70*b**7 + 23*b**2 + 0 + 0*b - 3/40*b**6 + 1/20*b**5. Suppose m(c) = 0. Calculate c.
-1, 1, 2
Factor -3/2*y**2 - 51 + 57/2*y.
-3*(y - 17)*(y - 2)/2
Suppose 160 = -3*o - 53. Let x = -67 - o. What is c in -c**2 + 1/2*c**5 - 1/2*c**3 + c**x + 0 + 0*c = 0?
-2, -1, 0, 1
Let l(d) be the second derivative of -d**7/63 - d**6/9 - d**5/10 + d**4/2 - 792*d. Factor l(m).
-2*m**2*(m - 1)*(m + 3)**2/3
Let i = 8437 - 59053/7. Factor 2/7*f**2 + 4/7 + i*f.
2*(f + 1)*(f + 2)/7
Let h = -72142/45 - -1603. Let l = h + 3/5. Factor -4/9*q**3 + 2/9*q**4 - 2/9*q**2 + 0 + l*q.
2*q*(q - 2)*(q - 1)*(q + 1)/9
Let i(m) be the first derivative of -1/4*m**2 - 9 + 0*m + 1/12*m**3. Find j such that i(j) = 0.
0, 2
Let q be 2*(-108)/(-8)*2/(-6). Let h be ((-14)/(-63))/(17/q - -2). Factor 1/5*c**h + 1/5*c + 0 - 1/5*c**4 - 1/5*c**3.
-c*(c - 1)*(c + 1)**2/5
Let a = 330 + -4948/15. Let p(n) be the first derivative of a*n**3 + 32/5*n + 8/5*n**2 + 4. Factor p(c).
2*(c + 4)**2/5
Let y(s) = 53*s - 210. Let n be y(4). Let h(u) be the second derivative of 2/15*u**3 + 0*u**n + 6*u + 3/10*u**4 + 7/50*u**5 + 0. Determine i so that h(i) = 0.
-1, -2/7, 0
Let k(i) be the first derivative of -5*i**6/6 + 25*i**4/2 - 100*i**3/3 + 75*i**2/2 - 20*i - 76. Find v, given that k(v) = 0.
-4, 1
Let c(j) = j**3 - 2*j**2 + 2*j. Let v(i) = 7*i**4 + 24*i**3 - 24*i**2 - 6*i. Let u(q) = 3*c(q) - 3*v(q). Factor u(m).
-3*m*(m - 1)*(m + 4)*(7*m + 2)
Let b be (-4 - (-17740)/2415) + (0 - 3). Let q = b - 2/161. Factor -q*f - 1/2*f**2 + 1/6.
-(f + 1)*(3*f - 1)/6
Let w be 1635/(-109)*6/(-75). Let -w*x**3 + 3/5*x**2 + 24/5*x - 12/5 = 0. What is x?
-2, 1/2, 2
Factor 2/9*b**2 - 50/9 + 0*b.
2*(b - 5)*(b + 5)/9
Find k, given that -219*k + 60*k**2 + 60*k**3 + 79*k - 25*k**3 - 30*k**3 = 0.
-14, 0, 2
Let w(i) be the third derivative of -14*i**2 + 1/4*i**4 + 0*i + 0 - 1/4*i**5 - 1/70*i**7 + 0*i**3 + 1/10*i**6. Factor w(q).
-3*q*(q - 2)*(q - 1)**2
Let h = -2116 + 2120. What is f in -f + 1/4*f**3 - f**h - 2 + 5/2*f**2 + 1/4*f**5 = 0?
-1, 2
Let k(j) = 2*j**2 + 55*j + 225. Let c be k(-5). Let h(z) be the third derivative of 0 + 1/90*z**5 + c*z + 1/360*z**6 + 7*z**2 + 1/72*z**4 + 0*z**3. Factor h(v).
v*(v + 1)**2/3
Let f(g) be the first derivative of g**3/30 + 13*g**2/20 - 7*g/5 + 27. Factor f(m).
(m - 1)*(m + 14)/10
Let d = 157400/354231 + 4/39359. Let 4/9*a**2 + d*a**3 + 0 + 0*a = 0. Calculate a.
-1, 0
Let y(o) be the first derivative of -o**4/12 + 8*o**3/3 + 63. Determine k so that y(k) = 0.
0, 24
Let i(h) be the first derivative of h**6/12 + 4*h**5/5 + 5*h**4/8 - 7*h**3/3 - 42. Factor i(m).
m**2*(m - 1)*(m + 2)*(m + 7)/2
Factor -2/7*r**3 + 4/7*r**2 + 8 + 62/7*r.
-2*(r - 7)*(r + 1)*(r + 4)/7
Let u = -4248/685 + 28/411. Let g = -24/5 - u. Suppose -1/3*r + 0 - g*r**2 - r**3 = 0. Calculate r.
-1, -1/3, 0
Let q(w) be the first derivative of w**4/32 - 3*w**3/16 - 3*w**2/4 - 3*w - 11. Let l(n) be the first derivative of q(n). Let l(h) = 0. Calculate h.
-1, 4
Let d = 131 - 127. Factor 4 - 262*w + d*w**4 + 262*w - 8*w**2.
4*(w - 1)**2*(w + 1)**2
Suppose -111/2*s**2 - 55*s + 5/4*s**4 - 14 - 53/4*s**3 = 0. What is s?
-2, -1, -2/5, 14
Let n(f) = -33*f - 12*f**2 - 18*f**2 - 5 - 2*f. Let y(d) = -d + 1. Suppose 3*u = 5*u + 4. Let j(h) = u*n(h) + 6*y(h). Determine k so that j(k) = 0.
-2/3, -2/5
Let i(p) be the first derivative of -25*p**4/4 - 215*p**3/3 + 45*p**2 + 77. Factor i(j).
-5*j*(j + 9)*(5*j - 2)
Let v(u) be the second derivative of -u**7/168 + 7*u**6/120 - 3*u**5/16 + 13*u**4/48 - u**3/6 - 38*u + 3. Let v(z) = 0. Calculate z.
0, 1, 4
Solve -64/3*j - 100/3*j**2 - 4/3*j**5 - 16/3 - 76/3*j**3 - 28/3*j**4 = 0.
-2, -1
Let y = -2625 + 2628. Factor -6 - y*m**2 - 21/2*m + 3/2*m**3.
3*(m - 4)*(m + 1)**2/2
Determine a, given that -80*a**2 + 9*a**3 - 3*a**3 + 15*a**4 + 80 + 5*a**5 - 24*a**3 - 2*a**3 = 0.
-2, 1, 2
Let z(q) = -q**3 + 10*q**2 + 3*q - 6. Suppose 5*t - 13*t + 56 = 0. Let a(k) = k**3 - 11*k**2 - 4*k + 7. Let r(i) = t*z(i) + 6*a(i). Solve r(p) = 0 for p.
0, 1, 3
Let b(x) be the first derivative of 4/5*x**5 + 0*x**3 - 3*x**4 + 0*x + 8*x**2 + 6. Factor b(z).
4*z*(z - 2)**2*(z + 1)
Let z(g) be the second derivative of 1/126*g**7 + 1/18*g**3 - 2/45*g**6 - 1/9*g**4 + 0 + 1/10*g**5 - 12*g + 0*g**2. Factor z(d).
d*(d - 1)**4/3
Let o(p) be the first derivative of 0*p - 1/39*p**3 + 1/78*p**4 - 1/390*p**5 + 3*p**2 + 7. Let c(t) be the second derivative of o(t). Factor c(m).
-2*(m - 1)**2/13
Let n(h) be the first derivative of -16 + 8/3*h**3 - h - 1/2*h**4 + 2/3*h**6 - 7/5*h**5 - h**2. Factor n(d).
(d - 1)**3*(d + 1)*(4*d + 1)
Let w(x) be the first derivative of 16384*x**4/21 + 2048*x**3/21 + 32*x**2/7 + 2*x/21 + 590. What is d in w(d) = 0?
-1/32
Let c(u) be the third derivative of u**7/210 - u**6/30 + 2*u**4/3 - 2*u**3/3 - 12*u**2. Let m(b) be the first derivative of c(b). Factor m(d).
4*(d - 2)**2*(d + 1)
Let h(f) = -f**2 - 19*f + 66. Let x be h(-22). Suppose 3*q - 14 + 5 = 0. Let 2*m**2 + x*m - 1 + 0*m - 4*m + q = 0. Calculate m.
1
Let m(t) be the third derivative of -11*t**6/300 - 166*t**5/75 - 169*t**4/4 - 30*t**3 - 14*t**2. Find v such that m(v) = 0.
-15, -2/11
Let i(v) be the third derivative of -v**6/240 + 19*v**5/60 - 37*v**4/48 + 31*v**2. Let i(y) = 0. Calculate y.
0, 1, 37
Let a(d) = 2*d**2 + 109*d + 119. Let c(b) = -4*b**2 - 108*b - 120. Let y(w) = -4*a(w) - 3*c(w). Factor y(u).
4*(u - 29)*(u + 1)
Let u(d) be the second derivative of -d**4/90 + 29*d**3/45 + 62*d**2/15 - 5*d - 47. Factor u(t).
-2*(t - 31)*(t + 2)/15
Let c be (-17 + (-383)/(-22))/(-2 - (-27)/12). Solve -6/11*q**2 - 12/11*q + c = 0.
-3, 1
Let r(n) be the first derivative of -17 - 1/20*n**5 - 5/12*n**3 - 1/4*n**2 + 0*n - 1/4*n**4. Determine j, given that r(j) = 0.
-2, -1, 0
Let u(j) be the second derivative of 0 + 1/30*j**5 - 2/9*j**4 - 18*j - 2/3*j**2 + 5/9*j**3. Factor u(v).
2*(v - 2)*(v - 1)**2/3
Let w(i) be the third derivative of -i**10/30240 + i**8/3360 - i**6/720 - i**4/4 - 11*i**2. Let j(g) be the second derivative of w(g). Solve j(f) = 0 for f.
-1, 0, 1
Let h(g) be the second derivative of 3/10*g**5 - 4/15*g**3 + 0 - 1/21*g**7 + 0*g**2 - 31*g - 2/75*g**6 - 2/15*g**4. Find d such that h(d) = 0.
-2, -2/5, 0, 1
Let j = -6609/5 + 1322. Let w(n) be the first derivative of 2*n - 5/4*n**4 - 7/2*n**2 - 4 + 3*n**3 + j*n**5. Solve w(p) = 0.
1, 2
Factor 31 + 17 - 30*u**2 - 3*u**3 - 111*u + 45*u**2 + 177*u.
-3*(u - 8)*(u + 1)*(u + 2)
Find r, given that -12*r**2 + 9*r**5 - 5*r - 3*r**5 - 3 + 6 + 5*r + 9*r**4 - 6*r**3 = 0.
-1, 1/2, 1
Let h(g) be the first derivative of g**7/210 - g**6/40 + g**5/30 + 17*g**2/2 - 4. Let c(q) be the second derivative of h(q). Suppose c(w) = 0. Calculate w.
0, 1, 2
Find s, given that -117*s + 114*s**2 + 417*s + 11*s**3 + 177*s**2 + 33*s**3 + 28*s**3 + 12 = 0.
-2, -1/24
Let s be ((-5)/35)/((-10)/40). Find w, given that 16/7*w - s*w**2 - 4/7*w**3 + 16/7 = 0.
-2, -1, 2
Suppose 12 = -462*t + 465*t - 2*l, 0 = 3*t - 4*l - 18. Suppose 16/7*f**t + 0 + 10/7*f**3 + 2/7*f**4 + 8/7*f = 0. Calculate f.
-2, -1, 0
Let b(x) = -2*x - 106. Let i be b(-53). Let i + 5/3*a**3 - 5*a**2 + 10/3*a = 0. What is a?
0, 1, 2
Let 0*i - 80/13*i**3 - 4/13*i**5 - 30/13*i**4 + 32/13 - 80/13*i**2 = 0. Calculate i.
-2, 1/2
Find z, given that -4*z**4 - 12*z**3 + 36 - 24*z + 4*z**4 + 26*z**2 - 28 + 2*z**4 = 0.
1, 2
Suppose 16/5*o**3 + 7/5*o**4 + 1/5*o**5 - 16/5 + 8/5*o**2 - 16/5*o = 0. Calculate o.
-2, 1
Let k(j) = -j + 7. Let u be k(4). Factor 0*t**2 + 2*t**2 + 21*t + 12 - 22*t**u + 19*t**3 + 4*t**2.
-3*(t - 4)*(t + 1)**2
Factor 6/5 - 1/5*q**4 + 3*q**2 + 17/5*q + 3/5*q**3.
-(q - 6)*(q + 1)**3/5
Let f be ((-855)/60 - -13)*(-6 - -2). Solve 0*c + 27/2*c**f + 0 - 3*c**2 + 3*c