. Factor v(f).
4*(f + 1)*(f + 6)/5
Let w = 132 + -130. Let a be 1*(w - 1) - (-27)/(-63). Factor -2/7*z - 2/7*z**4 + a*z**3 - 2/7*z**5 - 2/7 + 4/7*z**2.
-2*(z - 1)**2*(z + 1)**3/7
Let f(c) be the second derivative of 10/3*c**3 + 0 - 5/12*c**4 - 10*c**2 - 8*c. Factor f(i).
-5*(i - 2)**2
Let p(i) be the third derivative of 0*i + 0 - 2*i**3 - 28*i**2 - 1/180*i**5 - 1/6*i**4. Factor p(g).
-(g + 6)**2/3
Suppose 5 = -s - 4*p, -5*s + 0 = 2*p - 11. Let o be 0/(-2) + s/2. Factor 0*r + 3/2*r**5 + 0*r**2 + o*r**3 + 3*r**4 + 0.
3*r**3*(r + 1)**2/2
Suppose 4*o - 21 = 7*y - 6*y, 2*y + 6 = -o. Solve -21/8*p**3 + 3/2*p + 0 + 9/8*p**5 - 3/2*p**o + 3/2*p**2 = 0.
-1, -2/3, 0, 1, 2
Suppose -63/8*j + 3/8*j**2 + 15/2 = 0. Calculate j.
1, 20
Let x(d) = -5*d**2 + 1. Let b be x(1). Let a be (4 + -6)/2*(b + 1). Factor 0*w + 0*w**2 + 3*w**4 - 5/4*w**5 + 0 - w**a.
-w**3*(w - 2)*(5*w - 2)/4
Let c(i) = -i**2 + 2*i. Let x(v) = -5*v**3 + 30*v**2 - 30*v - 20. Let l(p) = -25*c(p) - x(p). Factor l(z).
5*(z - 2)*(z - 1)*(z + 2)
Let n(b) = 3*b + 1. Let l be n(1). Let j(z) = -z**3 - 10*z**2 + 11*z + 5. Let x be j(-11). Factor -h + 0*h**l - 23*h**2 + h**x + 2*h**4 + 21*h**2.
h*(h - 1)*(h + 1)**3
Let i(r) be the second derivative of -r**9/60480 - r**8/13440 - r**4/2 + 4*r. Let f(k) be the third derivative of i(k). Suppose f(h) = 0. Calculate h.
-2, 0
Let z = 169/1368 + 1/684. Let b = 6/11 - 37/88. Suppose 0*m - z*m**2 + b = 0. Calculate m.
-1, 1
Let q(f) be the first derivative of 6*f**5/55 - 29*f**4/22 + 52*f**3/11 - 76*f**2/11 + 48*f/11 - 731. Suppose q(u) = 0. What is u?
2/3, 1, 2, 6
Let k be 144/630*15/2. Factor -4/7*q**3 + 4/7*q + 12/7 - k*q**2.
-4*(q - 1)*(q + 1)*(q + 3)/7
Let j(h) be the third derivative of h**7/5 - 15*h**6/8 + 6*h**5/5 + 5*h**4/8 + 38*h**2 + 10. Let j(a) = 0. What is a?
-1/7, 0, 1/2, 5
Let l = 6 + -1. Let m(b) = -8*b - 1. Let r be m(-1). Factor -3*s**4 - 152*s**5 + r*s**4 + 4*s**3 + 153*s**l.
s**3*(s + 2)**2
Factor 3/2*t**2 + 45/2 - 12*t.
3*(t - 5)*(t - 3)/2
Let d(l) be the third derivative of -l**7/210 + l**6/24 + 7*l**5/60 - 41*l**4/24 + 5*l**3 + 228*l**2. Solve d(j) = 0.
-3, 1, 2, 5
Let g be (-3)/10*(-25)/15. Let r(p) = -2*p**3 - p**2 + 2. Let h be r(-1). Factor -3/2*i**2 + 0*i**h + 0 - i + g*i**4.
i*(i - 2)*(i + 1)**2/2
Let u(h) be the third derivative of h**5/30 - 3*h**4/4 - 22*h**3/3 - 182*h**2. Solve u(r) = 0 for r.
-2, 11
Let d = -5511 + 5514. What is i in 2/7*i**4 + 2/7*i**2 + 6/7*i**d - 6/7*i - 4/7 = 0?
-2, -1, 1
Let r be (-6)/9 + -2 + (-205)/(-75). Let n(o) be the first derivative of 1/20*o**4 - 1/5*o + 8 + r*o**3 - 1/10*o**2. Solve n(a) = 0 for a.
-1, 1
Factor -20/3*f**2 + 2/3*f**3 + 46/3*f - 28/3.
2*(f - 7)*(f - 2)*(f - 1)/3
Let n = -170 + 175. Let f(q) be the first derivative of 0*q**4 - 2/3*q**3 + 1 + 1/2*q**2 - 1/6*q**6 + 2/5*q**n + 0*q. What is z in f(z) = 0?
-1, 0, 1
Let t = 42 + -45. Let j be (200/45)/5*t/(-1). Suppose -1/3*o**5 - 4/3*o**4 + 10/3*o**2 - 1/3*o**3 + 4/3*o - j = 0. What is o?
-2, 1
Let q be 3/(-2) + (-54)/(-4). Factor -q*g - 4*g**2 + 0*g**2 + 17 - 17.
-4*g*(g + 3)
Let o be 16/30*(315/14)/15. Determine p, given that -o*p + 6/5*p**3 + 2/5*p**2 - 2/5*p**5 - 2/5*p**4 + 0 = 0.
-2, -1, 0, 1
Find c such that -18*c - 2/7*c**3 - 34/7*c**2 + 162/7 = 0.
-9, 1
Find t such that 128*t + 9*t**3 - 615*t**4 - 640*t**2 + 571*t**4 - 353*t**3 = 0.
-4, 0, 2/11
Suppose 35 + 19 = 2*f. Find i, given that 14 + 3*i**2 - 24*i - 20 + f = 0.
1, 7
Solve -4/7*t**5 - 244/7*t**3 + 0 - 400/7*t - 72/7*t**4 + 720/7*t**2 = 0 for t.
-10, 0, 1
Find x such that 0*x**4 + 30*x + 51/2*x**3 - 54*x**2 - 3/2*x**5 + 0 = 0.
-5, 0, 1, 2
Let d = 5575/2 + -2786. Determine g so that -2*g - d + g**2 + 2*g**3 + 1/2*g**4 = 0.
-3, -1, 1
Suppose 116950*y**2 - 117011*y**2 - y + 3*y = 0. What is y?
0, 2/61
Let a(l) = -l**2 - 6*l + 7. Let c be a(-5). Let o be (-10)/(-60) + 46/c. Factor -2 + 5*d**2 + 1 - d + 4*d - o*d - 3*d**3.
-(d - 1)**2*(3*d + 1)
Suppose -18*l + 19*l + 13*l - 4 - 14*l**3 + 4*l**2 = 0. Calculate l.
-1, 2/7, 1
Find i such that -1/6*i**3 - 23/6*i - 5/3*i**2 - 7/3 = 0.
-7, -2, -1
Let p be (-3)/((-10)/(30/3)). Factor -8/3*o**2 - 4/3*o + 8/3 + 4/3*o**p.
4*(o - 2)*(o - 1)*(o + 1)/3
Let m = 39729 - 39726. Solve -3*l**2 + 3/7*l**m - 27/7 - 51/7*l = 0 for l.
-1, 9
Suppose 9/2 + 4*m - 1/2*m**2 = 0. What is m?
-1, 9
Let t(f) be the second derivative of -f**7/315 - 8*f**6/45 - 4*f**5 - 400*f**4/9 - 2000*f**3/9 - 11*f - 5. Suppose t(u) = 0. Calculate u.
-10, 0
Let z(c) be the first derivative of -c**4/8 - 3*c**3/2 - 99. Let z(u) = 0. Calculate u.
-9, 0
Suppose -2*g - 5*o + 0*o = 14, 8 = 4*g + o. Suppose -4/7*r**g + 4/7*r - 2/7*r**4 + 0*r**2 + 2/7 = 0. What is r?
-1, 1
Let c = 382 - 380. Let h(p) be the third derivative of 0 + 0*p**3 - 1/60*p**5 - 5*p**c + 0*p + 1/30*p**6 + 0*p**4. Factor h(j).
j**2*(4*j - 1)
Let m be ((-1)/(-1))/((-64)/248 - -6). Let a = m + -2/267. Solve 0 + 0*v**4 - 1/6*v - a*v**5 + 0*v**2 + 1/3*v**3 = 0.
-1, 0, 1
Let g = -1006/9 + 112. Let x = -210 + 212. Factor 4/9*d**x + 2/9*d**3 + g*d + 0.
2*d*(d + 1)**2/9
Let i be (-650)/(10 - 5) + (-4)/2. Let x = 132 + i. Factor 0*m - 2/7*m**3 + 0*m**2 + 2/7*m**4 + x.
2*m**3*(m - 1)/7
Let o = -2444 - -21998/9. Suppose 16/9*y - 10/9*y**2 + o*y**3 - 8/9 = 0. What is y?
1, 2
Let o = -80/279 + 4228/3069. Factor 0 + 10/11*v + 2/11*v**3 - o*v**2.
2*v*(v - 5)*(v - 1)/11
Let i(a) be the first derivative of 1/3060*a**6 - a**3 + 0*a**5 + 0*a**2 - 1/204*a**4 + 4 + 0*a. Let z(l) be the third derivative of i(l). Factor z(o).
2*(o - 1)*(o + 1)/17
Let y = -24879/20 - -1244. Let a(q) be the third derivative of -y*q**5 + 0 + 0*q - 9/2*q**3 - 3/4*q**4 + 7*q**2. Factor a(l).
-3*(l + 3)**2
Solve 210*w**4 - 193*w**2 + 55*w**4 - 100*w**2 + 215*w + 38 - 235*w**3 + 32 + 20*w**5 - 42*w**2 = 0.
-14, -1, -1/4, 1
Let i = 17 + -13. Let g = i - 2. Factor 3*p**2 - 6*p + 0*p**g - 4 - 5*p**2.
-2*(p + 1)*(p + 2)
Let k(q) be the second derivative of -q**7/280 + q**5/40 - 7*q**3/6 + 3*q. Let i(g) be the second derivative of k(g). Factor i(d).
-3*d*(d - 1)*(d + 1)
Suppose -16*h**3 + 9*h**3 - 39*h**4 + 3*h + 30*h**2 - 7*h - 2*h**2 = 0. Calculate h.
-1, 0, 2/13, 2/3
Let x be (1 - -1) + 5 + 3. Suppose -3*s - x = -8*s. Factor 4 + o**s + 2*o**2 - 12*o + 8.
3*(o - 2)**2
Suppose 384/7*h - 256/7 + 4/7*h**5 + 12/7*h**4 - 80/7*h**2 - 64/7*h**3 = 0. Calculate h.
-4, 1, 2
Let v = 29008/5 + -5798. Factor -2/5*o**2 - v - 12/5*o.
-2*(o + 3)**2/5
Let l = 10066 + -10066. Factor l*n - 2 + 2/9*n**2.
2*(n - 3)*(n + 3)/9
Let c(n) be the second derivative of -n**6/27 - 2*n**5/15 - n**4/54 + 2*n**3/9 - 65*n. What is t in c(t) = 0?
-2, -1, 0, 3/5
Find j such that -7*j + 6 + 3/2*j**2 - 1/4*j**4 + 3/4*j**3 = 0.
-3, 2
Determine b, given that -4725 - 90*b - 3/7*b**2 = 0.
-105
Let g(l) be the second derivative of 14*l - 121/9*l**2 + 22/27*l**3 - 1/54*l**4 + 0. Determine w, given that g(w) = 0.
11
Let p be (20/(-6))/((-43)/(-1419)*-22). Factor -p + 1/2*f**2 - 3/2*f.
(f - 5)*(f + 2)/2
Factor 3872/15 + 2/15*g**2 - 176/15*g.
2*(g - 44)**2/15
Let s be (-116)/(-10) + 4/10. Let f = 16 - s. Find h such that -16*h**3 - h**2 - 13*h - 6*h**2 - f*h**4 + 5*h - 13*h**2 = 0.
-2, -1, 0
Let v = 9 - 28. Let t = 22 + v. Factor -t*b - 9/2 - 1/2*b**2.
-(b + 3)**2/2
Suppose 50*p - 6 = 47*p. What is h in 4*h - 2*h**4 + h**2 - 7*h**p + 14*h - 10*h**3 = 0?
-3, 0, 1
Let h = 1563 + -10939/7. Determine d, given that 6/7*d + 4/7*d**2 + 2/7 - h*d**5 - 4/7*d**3 - 6/7*d**4 = 0.
-1, 1
Let w(v) be the first derivative of v**5/90 + v**4/36 + v**2/2 + 7. Let u(j) be the second derivative of w(j). Factor u(t).
2*t*(t + 1)/3
Let u(w) be the first derivative of w**8/336 - w**7/70 - w**6/30 - 39*w**2/2 + 36. Let r(d) be the second derivative of u(d). Let r(m) = 0. Calculate m.
-1, 0, 4
Suppose 5*m - 18 = 4*p, p + 3 = 7*m - 6*m. Let f(v) be the second derivative of 3*v - 1/4*v**5 + 0 - 3/4*v**4 - 1/30*v**m - v**2 - 7/6*v**3. Factor f(b).
-(b + 1)**3*(b + 2)
Let u(l) be the second derivative of -1/15*l**5 - 2/9*l**3 + 0 - 1/6*l**4 - 1/90*l**6 + 6*l - 1/6*l**2. Let u(y) = 0. Calculate y.
-1
Let p(r) be the first derivative of -21 - 1/39*r**6 - 1/13*r**2 + 2/13*r - 4/39*r**3 + 2/65*r**5 + 1/13*r**4. Solve p(k) = 0.
-1, 1
Suppose 0 = -31*u + 26*u + 760. Let p be (u/70)/2 - (-112)/(-140). Factor -p + 4/7*y**2 - 2/7*y.
2*(y - 1)