he second derivative of w(c). Factor t(r).
2*(r + 1)**2/3
Let t(o) be the first derivative of 2*o**5/15 - o**4/6 - 10*o**3/3 - 23*o**2/3 - 20*o/3 + 123. What is y in t(y) = 0?
-2, -1, 5
Let b be 123*3/(-189) - -2. Let m(w) be the second derivative of 1/42*w**4 - b*w**3 + 6*w + 0*w**2 + 0. Suppose m(f) = 0. What is f?
0, 1
Factor 34*w - 11*w**2 + 55*w**2 + 18*w**3 - 11660 + 11668.
2*(w + 1)**2*(9*w + 4)
Let v(u) be the second derivative of u**8/26880 + u**7/840 + u**6/60 + 2*u**5/15 + u**4/4 - 29*u. Let l(j) be the third derivative of v(j). Solve l(t) = 0.
-4
Factor -362/7*o + 366/7*o**2 - 4/7.
2*(o - 1)*(183*o + 2)/7
Suppose -118*v + 149*v + 2403 = 832*v. Factor 0 + 1/2*p**4 - p - 3/2*p**2 + 0*p**v.
p*(p - 2)*(p + 1)**2/2
Factor -10 - 47 + i**2 - 29 + 6*i + 31.
(i - 5)*(i + 11)
Suppose -35*j = -39*j. Let m(i) be the third derivative of 1/5*i**5 + 4*i**2 + 1/10*i**6 + 0*i + 1/70*i**7 + j + 0*i**4 + 0*i**3. Determine a so that m(a) = 0.
-2, 0
Let -6/17*v**4 - 2/17*v**5 + 36/17*v**3 - 8/17*v**2 + 0 - 48/17*v = 0. Calculate v.
-6, -1, 0, 2
Factor -101*y**4 - 2523*y**2 - 76*y**4 - 2697*y**3 + 1493*y**5 - 1496*y**5.
-3*y**2*(y + 1)*(y + 29)**2
Factor -15/2*u - 5/2 - 15/2*u**2 - 5/2*u**3.
-5*(u + 1)**3/2
Suppose -q - 1209 + 1209 = 0. Factor q*d**2 - 1/3*d**3 + 2/3 + d.
-(d - 2)*(d + 1)**2/3
Let r(h) = 7*h**3 - 44*h**2 + 65*h - 53. Let g(i) = i**3 - 4*i**2 - i - 1. Let x(a) = -10*g(a) + 2*r(a). Solve x(z) = 0 for z.
1, 3, 8
Let y(o) be the third derivative of o**6/1620 + o**5/54 + 25*o**4/108 + 11*o**3/6 - 8*o**2. Let f(s) be the first derivative of y(s). Find x such that f(x) = 0.
-5
Let g be (6 - (-504)/(-88)) + (-174)/(-88). Determine s so that -3/4*s**2 - g*s**4 + 9/4*s**3 + 3/4*s**5 + 0 + 0*s = 0.
0, 1
Let u(j) = -92*j + 372. Let z be u(4). Let b(l) be the first derivative of 1/34*l**z + 0*l + 1/17*l**2 - 4/51*l**3 - 11. What is w in b(w) = 0?
0, 1
Suppose 3*g - 16*v = -12*v, -3*g + 4*g = -2*v. Determine w so that -5/4*w**2 + g + 5/2*w = 0.
0, 2
Let l(o) = -o**2 + 4*o + 5. Let c be l(4). Factor -k - 4*k**4 + 3*k**5 + k**2 + 3*k**2 + 9*k**5 - 9*k**c - 2*k**3.
k*(k - 1)**2*(k + 1)*(3*k - 1)
What is f in -70/13*f**3 - 16/13 + 148/13*f**2 - 8/13*f = 0?
-2/7, 2/5, 2
Let j = 1535 + -1532. Let p(g) be the first derivative of -4/5*g**5 - 2*g**2 - 8*g - 7 + g**4 + 4*g**j. Let p(v) = 0. What is v?
-1, 1, 2
Factor 28 - 4*v**3 + 7424*v**2 + 996 - 896*v - 7548*v**2.
-4*(v - 1)*(v + 16)**2
Suppose -4*a = -3*a - 4. Factor -24*v**4 - 4*v**5 + 4*v**3 + 4*v**2 + 9*v**a + 11*v**4.
-4*v**2*(v - 1)*(v + 1)**2
Suppose -1/4*m**2 + 0 - 41/4*m = 0. What is m?
-41, 0
Let f(s) = 2*s**4 - s**3 + s**2 - 2*s. Let d(v) = 13*v**4 + 11*v**3 - v**2 - 23*v. Let t(x) = d(x) - 4*f(x). Solve t(a) = 0 for a.
-3, -1, 0, 1
Let m(p) be the third derivative of p**6/240 - p**5/12 - 37*p**4/48 - 13*p**3/6 + 68*p**2. Let m(k) = 0. Calculate k.
-2, -1, 13
Let y(x) be the second derivative of -x**9/720 + 3*x**8/224 - 29*x**7/840 + x**6/40 - 2*x**4/3 - 12*x. Let s(m) be the third derivative of y(m). Factor s(p).
-3*p*(p - 3)*(p - 1)*(7*p - 2)
Factor -12/7*w**5 + 9/7*w**4 + 0 + 0*w**2 + 3/7*w**3 + 0*w.
-3*w**3*(w - 1)*(4*w + 1)/7
Suppose 4*y + 21 = 7*y. Factor -4 + 11*v - y*v - 12*v + 12*v**2.
4*(v - 1)*(3*v + 1)
Let s = -377 - -381. Let g(o) be the first derivative of s + 3/5*o**5 + o**2 - o**3 - 1/4*o**4 - 1/6*o**6 + 0*o. Solve g(n) = 0 for n.
-1, 0, 1, 2
Let m(c) be the first derivative of -5 + 1/3*c**3 - 1/8*c**4 + 3/4*c**2 + 0*c. Factor m(q).
-q*(q - 3)*(q + 1)/2
Let j be 3 + 7 + (16 - 26). Solve j - 2/5*g**2 + 1/5*g**3 + 1/5*g = 0 for g.
0, 1
Let s(m) be the second derivative of -m**6/6 + 35*m**5/4 - 375*m**4/2 + 6250*m**3/3 - 12500*m**2 - 13*m - 1. Find c, given that s(c) = 0.
5, 10
Let i(d) = 2*d**3 - 6*d**2 - 9*d - 17. Let x(g) = -3*g**3 + 6*g**2 + 8*g + 20. Let f(n) = 4*i(n) + 3*x(n). Let f(o) = 0. Calculate o.
-2
Suppose -5*a + 58 - 13 = 5*t, 5*t - 2*a = 31. Suppose 0 = t*x - 2*x - 110. Factor -20*i**3 + 35*i**2 - x*i + 15*i + 17*i.
-5*i*(i - 2)*(4*i + 1)
Let w = 3559/40 - 89. Let t = 207/280 + w. Determine m, given that 1/7 + t*m - 5/7*m**3 + 5/7*m**2 - 6/7*m**4 = 0.
-1, -1/2, -1/3, 1
Let k(y) be the first derivative of -2/15*y**5 - 1/12*y**4 - 1/18*y**6 + 0*y**3 + 0*y + 0*y**2 - 46. Factor k(b).
-b**3*(b + 1)**2/3
Let u be ((-4)/(480/9))/((-180)/3625). Let m = -1/96 + u. Factor 3/4 - 15/4*d**3 + 3/4*d - 9/4*d**2 - m*d**4.
-3*(d + 1)**3*(2*d - 1)/4
Let g = -198 - -207. Suppose 3*d = g*d. Factor d - 4/5*h**2 - 6/5*h + 2/5*h**3.
2*h*(h - 3)*(h + 1)/5
Suppose -2 = 6*r - 20. Factor -2*m**2 + 3*m + m**2 - 3*m**r + 1 + 0*m**2.
-(m - 1)*(m + 1)*(3*m + 1)
Factor 23*t + 0*t**2 - 31*t**2 + 4*t**3 - 14*t - t**2 + 19*t.
4*t*(t - 7)*(t - 1)
Let z(r) = -5*r**2 + 5*r. Let q(j) = 66*j**2 - 66*j. Suppose 59 = 2*t + 5. Let k(m) = t*z(m) + 2*q(m). Factor k(g).
-3*g*(g - 1)
Suppose -7/4*u**3 - 1/4*u**5 + 1 + 1/4*u**2 - 5/4*u**4 + 2*u = 0. What is u?
-2, -1, 1
Factor -19/2 - 39/4*b**2 - 1/8*b**3 - 153/8*b.
-(b + 1)**2*(b + 76)/8
Let c(u) = -u**3 + 19*u**2 - 28. Let o be c(19). Let w be 88/o - -3 - -1. Factor -2/7*y**2 + 4/7*y + w.
-2*(y - 3)*(y + 1)/7
Suppose u + 3 = 4*q - 4, 5*q = 7*u + 3. Factor -1/6*f**q + 0 - 1/3*f.
-f*(f + 2)/6
Suppose -2*g + 2*k - 6 = 0, 3*g - 3*k + 5 = -2*g. Let c be 2/(-8)*-4*g. Determine u, given that -2/7*u + 0 - 2/7*u**c = 0.
-1, 0
Let r be (-24)/(-14) + 2/7. Find j such that -5*j**3 + j**3 - 2*j**3 - 2*j + 6*j**r + j**4 + j**4 = 0.
0, 1
Let v be ((-40)/(-672)*(-77)/(-110))/(2/18). Factor -1/8*h**2 + 1/2*h - v.
-(h - 3)*(h - 1)/8
Solve 2/5*d**4 - 1452/5 + 186/5*d**2 - 42/5*d**3 + 506/5*d = 0 for d.
-3, 2, 11
Let k(l) be the third derivative of l**8/56 + 11*l**7/70 - 11*l**6/20 - l**5/5 + 5*l**4/2 - 7*l**3/2 + 22*l**2. Let k(u) = 0. Calculate u.
-7, -1, 1/2, 1
Let j be (-3)/(-12) - 3*(-1)/12. Let q(b) be the first derivative of 6/5*b**5 - j*b**6 + 3/2*b**2 - 2*b**3 + 0*b + 0*b**4 + 7. Determine w, given that q(w) = 0.
-1, 0, 1
Find x such that -21*x**5 + 92*x**3 + 56*x**3 - 80*x**4 - 208*x + 152*x**2 - x**5 - 22*x**5 + 5 + 27 = 0.
-2, 2/11, 1
Solve 12675/8 + 3/8*m**2 + 195/4*m = 0.
-65
Suppose -20*b + 22*b + 294 = 0. Let w = -437/3 - b. Factor 0 + w*o**3 - 2/9*o - 10/9*o**2.
2*o*(o - 1)*(6*o + 1)/9
Let g(w) be the third derivative of -w**7/1260 - 3*w**6/200 - w**5/30 + 3*w**4/8 - 13*w**2. Let h(t) be the second derivative of g(t). Let h(q) = 0. What is q?
-5, -2/5
Let t(v) be the second derivative of 0*v**3 + v - 3/10*v**5 - 1/5*v**6 - 1/6*v**4 - 11 + 0*v**2 - 1/21*v**7. Find b such that t(b) = 0.
-1, 0
Let g(t) be the third derivative of t**4/3 + 17*t**3/3 - 46*t**2. Let b be g(-4). Factor 0 + 2/3*l**b - 2/3*l**4 + 0*l + 2/3*l**5 - 2/3*l**3.
2*l**2*(l - 1)**2*(l + 1)/3
Let w(p) = 6*p**3 + 2*p - 1. Let h be w(1). Suppose j - 10 = -2*d, 4*j - h*j + 18 = 2*d. Factor -11*g**3 - g**5 + 5*g**3 + g**5 - 3*g**4 + d*g**5.
3*g**3*(g - 2)*(g + 1)
Suppose 31 = 4*z + 5*o, 12*o = 4*z + 8*o - 4. Factor 0 + 2/7*r - 2/7*r**2 + 2/7*r**z - 2/7*r**3.
2*r*(r - 1)**2*(r + 1)/7
Let f = 58270 - 231183/4. Let i = -20667/44 + f. Factor 8/11*v + i*v**5 + 0 - 60/11*v**4 - 2*v**3 + 24/11*v**2.
2*v*(v - 1)**2*(5*v + 2)**2/11
Let j be ((-28)/(-8) - 4)*-16. Factor 71*x**3 + j*x**5 + 30*x**4 + 2*x + 14*x**2 - 41*x**3 - 4*x**4.
2*x*(x + 1)**3*(4*x + 1)
Let q(x) be the third derivative of 0 - x**3 - 1/40*x**5 + 0*x + 5/16*x**4 + 19*x**2. Factor q(t).
-3*(t - 4)*(t - 1)/2
Suppose 5*p + 4 - 19 = 0. Suppose 13*x = 6*x + 35. Let -x*k**3 + 5*k**3 + 2*k**3 - k**p = 0. Calculate k.
0
Suppose 2*y = -i + 1, 5*i - 2*y + 7 - 24 = 0. Let -48/5*d**i + 12/5*d**5 - 8/5*d**4 + 0 + 32/5*d**2 + 0*d = 0. What is d?
-2, 0, 2/3, 2
Suppose 0 = 6*o - 11*o - 25. Let n(i) = 4*i**2 - 3*i + 9. Let c(a) = 2*a**2 - a + 5. Let v(q) = o*c(q) + 3*n(q). Solve v(h) = 0 for h.
1
Let h be -3 + 92/24 + 1141/978. Find q, given that 8/5 - 2*q + 2/5*q**h = 0.
1, 4
Let j(k) be the first derivative of 0*k - 1/9*k**3 + 9 + 0*k**2 + 1/12*k**4. Find i such that j(i) = 0.
0, 1
Let t = -23585/4 - -5897. Determine c, given that 9/4*c - t - 3/2*c**2 = 0.
1/2, 1
Let z(s) = 60 - 2*s**2 + s**2 - 50*s + 7*s**2 + 4*s**2. Let u(t) = 2*t**2 - 10*t + 12. Let x(j) = 16*u(j) - 3*z(j). Factor x(k).
2*(k - 3)*(k - 2)
Suppose 2*a - 4*d = -18, -3*a + 4*d = 3*d + 2. Le