r + 6/11*g**4 = 0. Calculate g.
0, 12
Let f(x) = -19*x**2 - 111*x - 360. Let g(v) = 9*v**2 + 56*v + 180. Let w(y) = -4*f(y) - 9*g(y). Factor w(u).
-5*(u + 6)**2
Let a(s) be the third derivative of 1/60*s**5 + 0 + 1/200*s**6 - 1/1050*s**7 - 1/1680*s**8 - 28*s**2 + 1/60*s**4 + 0*s**3 + 0*s. Determine t so that a(t) = 0.
-1, 0, 2
Let h(y) be the first derivative of 2*y**3/51 + 31*y**2/17 + 60*y/17 + 138. Find j, given that h(j) = 0.
-30, -1
Determine b so that -18/5*b**4 - b**5 + 13/5*b**3 - 8/5*b + 0 + 18/5*b**2 = 0.
-4, -1, 0, 2/5, 1
Let y(t) be the first derivative of -3*t**4/4 - 8*t**3 + 3*t**2/2 + 24*t - 10. Determine b so that y(b) = 0.
-8, -1, 1
Solve 8/13 - 10/13*q + 2/13*q**2 = 0.
1, 4
Let v(p) be the second derivative of -1/24*p**3 + 3/80*p**5 + 14*p - 1/24*p**4 + 0*p**2 + 0. Determine k, given that v(k) = 0.
-1/3, 0, 1
Let j(p) be the second derivative of -1/50*p**5 - 1/15*p**3 - 2/15*p**4 + 0 - 4*p + 6/5*p**2. Let j(w) = 0. Calculate w.
-3, -2, 1
Let t(r) be the third derivative of 0*r**5 + 1/18*r**4 + 0*r**3 + 0*r + 1/630*r**7 + 16*r**2 - 1/120*r**6 + 0. Let t(g) = 0. What is g?
-1, 0, 2
Let b(h) be the second derivative of -h**6/6 - 2*h**5 - 10*h**4 - 80*h**3/3 - 40*h**2 + 2*h - 72. What is o in b(o) = 0?
-2
Let v(y) be the third derivative of -9/2*y**4 + 10*y**2 + 4*y**3 + 9/70*y**7 - 39/40*y**6 + 0 + 29/10*y**5 + 0*y. Factor v(k).
3*(k - 2)*(k - 1)*(3*k - 2)**2
Let f(q) be the first derivative of -2*q**7/315 - q**6/45 - 9*q**2 + 25. Let v(n) be the second derivative of f(n). Factor v(i).
-4*i**3*(i + 2)/3
Let c(f) be the first derivative of 3/13*f**2 - 4/13*f - 3/13*f**4 + 15 + 8/39*f**3 - 4/65*f**5 + 1/13*f**6. Find a, given that c(a) = 0.
-1, 2/3, 1
Suppose -o - 35 = -8*o. Solve 5*r**2 - o*r**2 - r**2 - 2 + 3*r**2 = 0.
-1, 1
Let v(n) be the first derivative of n**5/20 - 5*n**4/8 + 17*n**3/12 - n**2 + 51. Find w, given that v(w) = 0.
0, 1, 8
Let b(z) be the third derivative of 20*z**2 + 0*z + 6*z**3 + 23/8*z**4 - 1/10*z**5 + 0. Find j such that b(j) = 0.
-1/2, 12
Let k be ((-12)/20)/(13/390*6) - -3. Find w, given that 0*w**2 + 0 + k*w - 5/3*w**4 + 2*w**3 - 1/3*w**5 = 0.
-6, 0, 1
Let h(l) = 8*l**3 + 57*l**2 - 8*l - 39. Let a(f) = 2*f**3 + 14*f**2 - 2*f - 10. Let r(q) = -9*a(q) + 2*h(q). What is j in r(j) = 0?
-6, -1, 1
Suppose 3*l - 6 = -l + 2*r, -3*r + 23 = 2*l. What is i in -96*i - l*i**3 + 19*i**2 - 64 - 21*i**2 - 34*i**2 + 0*i**3 = 0?
-4, -1
Let n = 779/522 + 2/261. Factor -3*a - 3/2 - n*a**2.
-3*(a + 1)**2/2
Factor 206/3*u**2 - 1/3*u**3 - 10609/3*u + 0.
-u*(u - 103)**2/3
Factor 2*h**3 + 0 + 0*h**2 + 0*h + 1/2*h**4.
h**3*(h + 4)/2
Let f be ((-108)/24)/(2/28). Let o be (6/f)/(22/(-33)). Find u, given that 1/7 + 2/7*u**3 - 2/7*u - o*u**4 + 0*u**2 = 0.
-1, 1
Let r be (-24)/(-16)*(-30)/(-9). Suppose r*a + 15 = 3*k, -6*k - 6 = -2*k + 2*a. Solve -v**2 + 0 + 3/2*v**4 + k*v - 1/2*v**3 = 0 for v.
-2/3, 0, 1
Suppose 0 = 2*q - 9*i + 5*i + 16, -4*i + 20 = -q. Find b, given that 2/19*b**q + 10/19*b**2 - 8/19*b**3 - 4/19*b + 0 = 0.
0, 1, 2
Determine q, given that 0*q + 1/5*q**4 + 7/5*q**3 + 12/5*q**2 + 0 = 0.
-4, -3, 0
Let j(l) be the third derivative of -l**2 - 1/105*l**7 + 1/24*l**4 + 0*l**3 + 1/30*l**5 + 0 + 5/1344*l**8 - 3/160*l**6 + 0*l. Determine a so that j(a) = 0.
-1, -2/5, 0, 1, 2
Let f(m) be the first derivative of m**7/168 + 5*m**6/72 + 7*m**5/24 + 5*m**4/8 + 16*m**3/3 - 5. Let t(h) be the third derivative of f(h). Factor t(r).
5*(r + 1)**2*(r + 3)
Let k(h) be the second derivative of 2/5*h**6 - h**4 + 1/14*h**7 + 0 + 9/20*h**5 - 2*h**3 + 0*h**2 - 26*h. Factor k(w).
3*w*(w - 1)*(w + 1)*(w + 2)**2
Let c be 266/60 - (-1300)/(-1560). Find m such that 3/5*m**3 + c*m + 0 + 3*m**2 = 0.
-3, -2, 0
Let i(u) = 3*u**2 - 2*u - 2. Let d be i(4). Solve -52*j**3 - 160 + 732*j**3 - 172*j**4 - d*j**4 + 25*j**5 + 720*j - 1040*j**2 = 0.
2/5, 2
Suppose 512 = -4*t + 108. Let r = t + 286. What is f in 1 - 1 - r*f**4 + 3*f**3 + 188*f**4 = 0?
-1, 0
Suppose 5 = 2*l + 1. Suppose -7 - 5 = -4*y. Suppose 0*f + 11*f**2 + f**l - 3*f - y*f**3 - 6*f**2 = 0. What is f?
0, 1
Let w(f) = -f + 4. Let o(c) = c**2 + 36*c + 12. Let j(b) = -o(b) + 3*w(b). Find i such that j(i) = 0.
-39, 0
Let r(o) = o**3. Let p(b) = -b**5 + 4*b**4 + b**3 - 2*b**2 + 5*b - 2. Let a(t) = -3*p(t) + 15*r(t). Factor a(k).
3*(k - 2)*(k - 1)**3*(k + 1)
Suppose 1 = -4*i + 3*t, i + 16*t = 14*t + 8. Factor -10/7 + 12/7*y - 2/7*y**i.
-2*(y - 5)*(y - 1)/7
Let j(b) = b**3 - 6*b**2 + b - 3. Let n be j(6). Suppose -7*s = -s - 24. Factor -u**3 + 3*u**3 + 2 + 2*u**3 + u**4 - n*u**4 - s*u.
-2*(u - 1)**3*(u + 1)
Let t(j) = -j + 6. Let l be t(4). Let b = -28 - -30. Solve -g**3 - b*g**3 + 5*g**2 - l*g**2 = 0.
0, 1
Let p = 5/8 - 1/2. Let y(u) be the third derivative of u**3 - p*u**4 + 0 + 3*u**2 - 1/20*u**5 + 0*u. Let y(b) = 0. What is b?
-2, 1
Factor 2/7*f + f**2 + 5/7*f**4 + 1/7*f**5 + 0 + 9/7*f**3.
f*(f + 1)**3*(f + 2)/7
Let y(p) be the second derivative of 7*p**6/75 - 4*p**5/5 + 23*p**4/30 + 2*p**3/3 - 67*p + 2. What is b in y(b) = 0?
-2/7, 0, 1, 5
Let m(i) = i + 2. Suppose -18*k + 1 = -17*k. Let h be m(k). Factor -5*g**3 + 3*g**3 - 6*g - h*g**3 + 2*g - 4 + 13*g**2.
-(g - 2)*(g - 1)*(5*g + 2)
Let n(g) be the first derivative of -5*g**6/6 - 4*g**5 - 5*g**4 + 10*g**3/3 + 25*g**2/2 + 10*g + 146. Let n(r) = 0. What is r?
-2, -1, 1
Let g = 52229/7 - 7460. Factor -15/7*s**2 - g - 33/7*s + 9/7*s**3.
3*(s - 3)*(s + 1)*(3*s + 1)/7
Let y(n) be the first derivative of 2*n**3/9 - n**2 - 8*n/3 - 87. Factor y(g).
2*(g - 4)*(g + 1)/3
Solve -41*i**2 + 32*i**4 - 36*i**2 + 0*i**5 + 32 + 4*i + 4*i**5 - 8*i**3 + 13*i**2 = 0.
-8, -1, 1
Let y(h) = 7*h - 2. Let a be y(2). Let d = -5 + a. Factor d*f**5 + f**3 - 7*f**3 + 12*f**5 + 2*f**5 - 15*f**4.
3*f**3*(f - 1)*(7*f + 2)
Let b(g) be the third derivative of g**8/336 - g**7/105 - 47*g**6/120 + 29*g**5/15 + 70*g**4/3 - 800*g**3/3 + 4*g**2 - 13. Find c, given that b(c) = 0.
-5, 4
Let b(p) = p - 3. Let c be b(5). Let m be (2 - 2) + (-40)/(-30). What is n in 8/3 - 8/3*n**c - m*n + 4/3*n**3 = 0?
-1, 1, 2
Let h(z) be the second derivative of -42025*z**4/4 - 410*z**3 - 6*z**2 - 118*z. Determine o, given that h(o) = 0.
-2/205
Let t(x) = -263*x**2 + x + x + 269*x**2. Let i(w) = 11*w**2 + 5*w. Let z(k) = 4*i(k) - 9*t(k). Factor z(r).
-2*r*(5*r - 1)
Let o(c) = 8*c**5 + 2*c**4 + 2*c**3 + 6*c**2. Let i(u) = -u**5 - u**3 - u**2. Let h(l) = 6*i(l) + o(l). Factor h(m).
2*m**3*(m - 1)*(m + 2)
Let y(x) be the second derivative of x**6/30 + 3*x**5/10 - 7*x**4/12 + 44*x + 5. Determine q so that y(q) = 0.
-7, 0, 1
Solve -51 - 196*a + 8*a**2 - 2 + 6 - 53 = 0.
-1/2, 25
Let h(x) = 1213*x - 3635. Let r be h(3). What is v in 0*v + 0 - 46/3*v**3 - 4*v**2 - 44/3*v**r - 10/3*v**5 = 0?
-3, -1, -2/5, 0
Let n be (3/(-27))/(8/(-144)). Factor -1/3*v**n + 1/3*v**4 + 0 + 1/3*v**5 - 1/3*v**3 + 0*v.
v**2*(v - 1)*(v + 1)**2/3
Factor -1/3*w**2 + 3 - 35/6*w.
-(w + 18)*(2*w - 1)/6
Let j(h) = -2*h - 6. Let t(y) = -y**2 + y + 1. Let f(z) = -j(z) - 8*t(z). What is m in f(m) = 0?
-1/4, 1
Let a be 35/84 + (-4)/24. Factor a*o**2 + 0*o + 1/2*o**3 + 1/4*o**4 + 0.
o**2*(o + 1)**2/4
Let i be 10/(-2)*2*1/(-2). Let s(w) be the first derivative of 0*w + 0*w**3 + 1/6*w**6 + 0*w**i + 1/2*w**2 + 3 - 1/2*w**4. Factor s(f).
f*(f - 1)**2*(f + 1)**2
Let v(y) be the third derivative of -y**5/20 + y**4/12 - 106*y**2. Solve v(w) = 0.
0, 2/3
Let i(r) be the second derivative of 2*r**7/105 + 4*r**6/75 + r**5/25 + 231*r. Factor i(v).
4*v**3*(v + 1)**2/5
Suppose v - 5 = 3. Let k be 128/40*4/v. Factor 36/5*h**2 - 4*h**3 + k + 4/5*h**4 - 28/5*h.
4*(h - 2)*(h - 1)**3/5
Let h be ((-60)/(-145)*13 - 2) + -4. Let o = h + 1910/87. Factor o*z**2 - 20/3*z - 8/3 - 12*z**3.
-4*(z - 1)**2*(9*z + 2)/3
Let a(k) be the first derivative of k**7/420 - k**5/60 - 5*k**3/3 + 6. Let l(o) be the third derivative of a(o). Factor l(n).
2*n*(n - 1)*(n + 1)
Let s be ((-651)/210 + 3)/(6/(-5)). Let p(o) be the third derivative of s*o**5 + 15/2*o**3 + 0 - 5/4*o**4 + 0*o + 7*o**2. Factor p(g).
5*(g - 3)**2
Let x = -20837/2 - -217115/22. Let g = x - -550. Factor 2/11*u**2 + 2/11 + g*u.
2*(u + 1)**2/11
Let i(u) be the second derivative of -u**10/40320 - u**9/7560 - u**8/3840 - u**7/5040 + 19*u**4/6 - 11*u. Let j(t) be the third derivative of i(t). Factor j(z).
-z**2*(z + 1)**