(j - 1)**2*(j + 2)**2/7
Let i be (-164 + 164)/((1*3)/1). Suppose -2/3*f**3 + 0*f + 0*f**2 + i = 0. What is f?
0
Let z(r) be the third derivative of 1/100*r**6 + 1/150*r**5 + 0*r**4 + 1/840*r**8 + 0 + 1/175*r**7 + 0*r + 3*r**2 + 0*r**3. Determine t so that z(t) = 0.
-1, 0
Let b(v) be the third derivative of 0*v + 0 + 0*v**4 + 3*v**2 - 1/240*v**5 + 1/160*v**6 - 1/420*v**7 + 0*v**3. Suppose b(g) = 0. What is g?
0, 1/2, 1
Let z(g) be the first derivative of 4*g**3/3 + 16*g**2 + 64*g - 7. Let z(l) = 0. What is l?
-4
Let u(c) be the third derivative of -c**6/180 + c**5/90 - 29*c**2. Factor u(r).
-2*r**2*(r - 1)/3
Let c be ((-14)/8 + 1)/((-231)/56). Factor -2/11*w**2 + 0*w + 0 - c*w**3.
-2*w**2*(w + 1)/11
Let u(t) be the first derivative of 1/30*t**5 - 9 + 0*t**2 + 0*t**4 - 1/9*t**3 + 1/6*t. Find p, given that u(p) = 0.
-1, 1
Let p(u) be the third derivative of -3*u**2 - 1/54*u**4 + 0 - 1/270*u**5 + 0*u - 1/27*u**3. Find m, given that p(m) = 0.
-1
Let r(g) be the second derivative of g**6/10 - 3*g**5/10 + 5*g**4/16 - g**3/8 - 12*g. What is u in r(u) = 0?
0, 1/2, 1
Let p(t) = -3*t**4 - 4*t**3 + 3*t**2 - 3*t - 7. Let g(k) = -k**4 - k**3 + k**2 - k - 2. Let o(w) = 14*g(w) - 4*p(w). Suppose o(l) = 0. What is l?
-1, 0, 1
Let s be ((-1)/(-6))/((-2)/(-6)). Determine b, given that 0 + 1/2*b**2 + 1/4*b - 1/4*b**5 - s*b**4 + 0*b**3 = 0.
-1, 0, 1
Let w(d) = -2*d**2 - 3*d - 1. Let s(j) = 6*j**2 + 8*j + 2. Let t be (2*1)/(8/(-4)). Let v be (-6)/(-2)*-1*t. Let p(k) = v*s(k) + 10*w(k). Factor p(n).
-2*(n + 1)*(n + 2)
Let g(k) = -2*k**4 + 8*k**3 + 37*k**2 - 57*k - 3. Let b(u) = 5*u**4 - 15*u**3 - 75*u**2 + 115*u + 5. Let p(j) = 3*b(j) + 5*g(j). What is f in p(f) = 0?
-3, 0, 2
Suppose 4*p = 3*p. Let u(g) be the first derivative of -3 + 7/3*g**6 + 4/3*g**3 - 24/5*g**5 + 3/2*g**4 + p*g + 0*g**2. Suppose u(d) = 0. What is d?
-2/7, 0, 1
Let b = 377761/240 - 1574. Let i(x) be the third derivative of 0 + 0*x**4 + 0*x + 2*x**2 + 1/24*x**3 - b*x**5. Factor i(v).
-(v - 1)*(v + 1)/4
Let o(m) be the third derivative of -m**5/210 + m**3/21 + 4*m**2. Suppose o(j) = 0. Calculate j.
-1, 1
Suppose -3*h - 2*i - 3 = i, 5*i = h - 29. Suppose -3*m + 7 = -d - 0*d, -h*m + 2*d = -10. Solve -7*a**2 - m*a**4 + 9*a**2 + 0*a**4 = 0.
-1, 0, 1
Let 4*l**3 - 1 - 5*l**3 + 0*l**3 - 3*l - 4*l**2 + l**2 = 0. What is l?
-1
Let g = 143 + -713/5. Factor -g - 4/5*k - 2/5*k**2.
-2*(k + 1)**2/5
Let y(h) = 12*h**3 - 14*h**2 + 4*h + 4. Suppose -6 = n - l - 3, 4*l = 8. Let x(o) = o**2 - 2*o - o**3 + 4*o - 3*o. Let v(s) = n*y(s) - 6*x(s). Factor v(d).
-2*(d - 1)**2*(3*d + 2)
Suppose -6/7*b + 0*b**2 - 4/7 + 2/7*b**3 = 0. What is b?
-1, 2
Let s(j) be the second derivative of 7*j**5/10 - 5*j**4/6 - 2*j**3/3 + j. Factor s(t).
2*t*(t - 1)*(7*t + 2)
Let o = 909 + -218159/240. Let y(p) be the third derivative of 0 - 1/24*p**3 + o*p**5 + p**2 + 0*p**4 + 0*p. Let y(a) = 0. Calculate a.
-1, 1
Let f be (-81)/(-18) - (-2)/(-4). Determine j so that -7*j**3 + 7*j**3 - 3*j**f - 12*j - 18*j**2 - 8*j**3 - 4*j**3 - 3 = 0.
-1
Let k = -23 - -23. Factor 0 + k*i - 3/7*i**3 - 6/7*i**2.
-3*i**2*(i + 2)/7
Factor 0 + 0*j - 4/5*j**2 - 6/5*j**3 + 2/5*j**5 + 0*j**4.
2*j**2*(j - 2)*(j + 1)**2/5
Suppose 4*m = 12, -4*v + 0 + 14 = 2*m. Factor 1/3 - 2/3*s + 1/3*s**v.
(s - 1)**2/3
Factor -2/3*u + 2/3*u**2 - 4/3.
2*(u - 2)*(u + 1)/3
Let h(i) be the first derivative of -4 - 1/5*i**4 - 2/25*i**5 + 1/15*i**6 - 2/5*i + 4/15*i**3 + 1/5*i**2. Factor h(t).
2*(t - 1)**3*(t + 1)**2/5
Let d(m) be the third derivative of m**8/1440 + m**7/504 - m**6/180 - m**5/15 - 3*m**2. Let b(n) be the third derivative of d(n). Factor b(p).
2*(p + 1)*(7*p - 2)
Suppose -12 - 88 = -5*f. Let s = 23 - f. Find l, given that 8*l**4 + l**2 + 0*l + 0 + 11/2*l**s + 7/2*l**5 = 0.
-1, -2/7, 0
Suppose 4*f - 288 = -2*f. Let m be 88/f + (-2)/(-12). Factor 0*w - 3*w**m + 3/2*w**3 + 9/2*w**4 + 0.
3*w**2*(w + 1)*(3*w - 2)/2
Let f be 6*(2 - 16/6). Let n be 0 + (-7 - f - -3). Factor 0*s + 1/3*s**4 + 0*s**2 + 0 + n*s**3 - 1/3*s**5.
-s**4*(s - 1)/3
Suppose -g - 4*y = 0, -4*g + 0*y = -4*y - 80. Solve -4*f**3 - 4*f**2 - 4*f**3 + 6*f**4 + g*f**2 - 2 - 8*f**3 = 0 for f.
-1/3, 1
Let z(d) = -d**3 - 11*d**2 - 5*d - 53. Let w be z(-11). Determine t so that 6*t**3 - 3 - 39/2*t**w + 33/2*t = 0.
1/4, 1, 2
Let d(l) be the first derivative of -l**6/42 - l**5/35 + l**4/14 + 6. Find f, given that d(f) = 0.
-2, 0, 1
Let x(i) be the first derivative of 4*i**3/9 - 4*i**2/3 - 19. Factor x(m).
4*m*(m - 2)/3
Let s(d) be the first derivative of d**8/9240 + d**7/4620 - d**6/1980 - d**5/660 - 2*d**3/3 + 1. Let f(a) be the third derivative of s(a). Solve f(t) = 0.
-1, 0, 1
Let p(n) be the second derivative of n**6/660 - n**5/66 + 2*n**4/33 - 4*n**3/33 - n**2/2 + n. Let j(r) be the first derivative of p(r). Factor j(y).
2*(y - 2)**2*(y - 1)/11
Let w(f) be the second derivative of -27*f**6/20 - 63*f**5/20 + 37*f**4/8 + 7*f**3 + 3*f**2 - 13*f + 1. Find c, given that w(c) = 0.
-2, -1/3, -2/9, 1
Let k(w) be the third derivative of -3*w**8/28 - 4*w**7/105 + 3*w**6/10 + 2*w**5/15 + 4*w**2. Suppose k(i) = 0. Calculate i.
-1, -2/9, 0, 1
Let q = 2 + -2. Suppose q = o - 4 + 1. Factor 2*m**2 + 1/2*m**5 + 2*m**4 + 1/2*m + 3*m**o + 0.
m*(m + 1)**4/2
Factor -1/2*t**2 - 1/2 - 5/4*t.
-(t + 2)*(2*t + 1)/4
Let b = -285 - -571/2. Factor -1/2*u**4 - b*u**5 + 1/2*u**2 + 0*u + 0 + 1/2*u**3.
-u**2*(u - 1)*(u + 1)**2/2
Find d, given that 2*d**5 + 6*d**4 - 3*d**2 + 2 - 3*d**2 - 2 - 2*d**3 = 0.
-3, -1, 0, 1
Let f be (0/(-5))/(-2 - 0). Let i(c) be the second derivative of 0*c**2 + f*c**3 - c + 0*c**5 + 0 - 1/165*c**6 - 1/231*c**7 + 0*c**4. Factor i(x).
-2*x**4*(x + 1)/11
Let q(j) be the first derivative of 0*j**2 - 1/12*j**4 + 1 + 2/9*j**3 - 1/15*j**5 + 0*j. Factor q(m).
-m**2*(m - 1)*(m + 2)/3
Let l(c) be the second derivative of -c**8/10080 + c**6/360 - c**5/90 - c**4/4 + 3*c. Let i(n) be the third derivative of l(n). Find o, given that i(o) = 0.
-2, 1
Let q(a) be the first derivative of -2*a**3/21 + 8*a**2/7 - 32*a/7 - 3. Factor q(d).
-2*(d - 4)**2/7
Suppose 0 = -k - 1 - 2. Let i = k + 3. Factor i*n**4 - n**4 - n**3 + n**2 + n**5 + 0*n**2.
n**2*(n - 1)**2*(n + 1)
Let s(h) be the third derivative of h**6/600 - h**4/120 - h**2. Solve s(z) = 0.
-1, 0, 1
Suppose -5*f + 5*a + 15 = 5, -9 = -2*f - 3*a. Factor -3*d - 9*d**2 + 3*d**2 - d**f - 2*d**3.
-3*d*(d + 1)**2
Let n(t) be the second derivative of t**6/40 - 3*t**5/16 + t**4/2 - t**3/2 - 47*t. Factor n(w).
3*w*(w - 2)**2*(w - 1)/4
Let g(q) be the second derivative of -q**5/4 - 5*q**4/3 - 14*q. Solve g(u) = 0.
-4, 0
Let q(p) be the third derivative of 1/16*p**4 + p**2 + 1/6*p**3 + 1/120*p**5 + 0 + 0*p. Factor q(h).
(h + 1)*(h + 2)/2
Let c(o) be the first derivative of 1 - 1/50*o**5 + 0*o**3 + 0*o**2 + 1/30*o**4 - o. Let w(s) be the first derivative of c(s). Solve w(i) = 0 for i.
0, 1
Let f(o) be the first derivative of 2/45*o**3 + 1 + 0*o**2 + 1/30*o**4 + 0*o. Factor f(w).
2*w**2*(w + 1)/15
Let l(g) = -5*g**3 + 17*g**2 + 43*g + 23. Let n(i) = -20*i**3 + 69*i**2 + 171*i + 91. Let d(p) = -9*l(p) + 2*n(p). Determine b so that d(b) = 0.
-1, 5
Suppose -10*k + 5*k = -3*f + 5, 5*f + 3*k + 3 = 0. Factor 4/3*j - 2/3*j**3 + f - 2/3*j**2.
-2*j*(j - 1)*(j + 2)/3
Factor 0*h - 2*h**4 + 0 + 16/3*h**2 + 20/3*h**3.
-2*h**2*(h - 4)*(3*h + 2)/3
Suppose 14 = t - 14. Let -56*f**5 - 5 + 20*f**5 + 56*f**2 + 14*f**4 + 9 + t*f - 74*f**4 + 8*f**3 = 0. What is f?
-1, -1/3, 1
Let z be (-23)/(-4) + 3/12. Let u = 20 + -12. Find s such that -14*s**2 + 24*s**4 - u*s**3 - 6*s**2 - 4 - z*s**5 + 18*s - 4*s**5 = 0.
-1, 2/5, 1
Let s(q) be the first derivative of -2*q**3/15 - 2*q**2 - 10*q - 16. Factor s(w).
-2*(w + 5)**2/5
Factor -507/5 + 429/5*v + 3/5*v**3 + 15*v**2.
3*(v - 1)*(v + 13)**2/5
Let k(y) be the third derivative of -2*y**2 + 0*y**3 - 1/14*y**7 + 0 - 1/10*y**5 + 0*y - 7/40*y**6 + 0*y**4. Determine r so that k(r) = 0.
-1, -2/5, 0
Let o be ((-8)/(-14))/(24/(-84)). Let u(h) = h**3 + h**2 - h. Let r(v) = 10*v**2 - 12*v + 4. Let y(d) = o*r(d) + 4*u(d). Factor y(l).
4*(l - 2)*(l - 1)**2
Suppose -2*a + 8 = -0*a. Factor -1 - 1 - 6*v**2 + 6*v**2 - 4*v**3 + a*v + 2*v**4.
2*(v - 1)**3*(v + 1)
Let j(t) be the third derivative of 0*t - 1/60*t**6 + 0 - 2*t**2 - 1/4*t**4 + 1/3*t**3 + 1/10*t**5. Factor j(g).
-2*(g - 1)**3
Let v = 41/