= 0. What is d?
-1, 0, 1
Let k(p) be the second derivative of -4*p - 4/39*p**4 + 4/39*p**3 - 1/195*p**6 + 0*p**2 + 0 + 1/26*p**5. Solve k(a) = 0.
0, 1, 2
Let k = -1326 - -1326. Factor 6/17*z - 6/17*z**3 + 2/17*z**4 - 2/17*z**2 + k.
2*z*(z - 3)*(z - 1)*(z + 1)/17
Let j(k) be the third derivative of -k**9/1008 - k**8/560 + k**7/140 + 2*k**3/3 - 7*k**2. Let b(q) be the first derivative of j(q). Factor b(f).
-3*f**3*(f - 1)*(f + 2)
Suppose 0*u + 9*u = 99. Suppose u*r = 13*r. Determine h so that -2/3*h**5 + 0 - 4/3*h**4 + 4/3*h**2 + 2/3*h + r*h**3 = 0.
-1, 0, 1
Let n(s) = -7*s**2 - 33*s + 2. Let d = 33 + -31. Let v be (-2 - -5)*(-3 + d). Let l(x) = 2*x**2 + 11*x - 1. Let g(f) = v*n(f) - 8*l(f). Factor g(b).
(b + 2)*(5*b + 1)
Let v(a) be the third derivative of -7*a**6/200 - a**5/10 - 3*a**4/40 + a**2 + 6. Suppose v(u) = 0. Calculate u.
-1, -3/7, 0
Let k(q) be the first derivative of 5*q**7/84 + q**6/3 + 3*q**5/4 + 5*q**4/6 + 5*q**3/12 + 3*q + 15. Let s(x) be the first derivative of k(x). Factor s(r).
5*r*(r + 1)**4/2
Suppose 0 - 1 = -u. Let c(w) be the first derivative of 5/2*w**4 - 3*w**2 + u + 4*w - 2/3*w**6 - 10/3*w**3 + 6/5*w**5. Find l, given that c(l) = 0.
-1, 1/2, 1, 2
Let s be (-2)/21 + (-27742)/(-34629). Solve -2/17 - s*m - 10/17*m**2 = 0.
-1, -1/5
Let f(m) = 55*m**3 + 5*m**2 - 1980*m + 140. Let p(j) = 14*j**3 + j**2 - 495*j + 36. Let n(g) = -9*f(g) + 35*p(g). Factor n(b).
-5*b*(b - 9)*(b + 11)
Let p = 11443/20062 + 3/2866. Factor -4/7*l**4 - p - 4/7*l**5 + 8/7*l**2 + 8/7*l**3 - 4/7*l.
-4*(l - 1)**2*(l + 1)**3/7
Let w(n) be the third derivative of -1/24*n**4 + 0 + 0*n + 1/30*n**5 + 1/120*n**6 - 1/3*n**3 - 4*n**2. What is f in w(f) = 0?
-2, -1, 1
Determine a so that 59*a + 3*a**4 - 67*a - 89*a**3 + 33*a**2 + 27*a**3 + 34*a**3 = 0.
0, 1/3, 1, 8
Suppose -940 = 2*c - 7*c. Factor 208*l**4 + 20*l**2 - 30*l**3 + l - 6*l - 5*l**5 + 0*l - c*l**4.
-5*l*(l - 1)**4
Find f, given that 1/2*f**2 - 9*f + 0 = 0.
0, 18
Let y(l) = -2*l + 9. Let i be y(6). Let n be (i/6 - -3) + -1. Factor 7/2*q - n + 1/2*q**3 - 5/2*q**2.
(q - 3)*(q - 1)**2/2
Let z(h) be the third derivative of 3*h**8/560 + h**7/14 - 31*h**6/300 - 11*h**5/50 + 53*h**4/120 - 3*h**3/10 - 15*h**2. What is l in z(l) = 0?
-9, -1, 1/3, 1
Let g(m) = 2*m**2 - 20*m + 5. Let q be g(-25). Let o be 315/q - 3/((-78)/4). Factor -o + k + 1/3*k**3 - k**2.
(k - 1)**3/3
Let l(o) be the second derivative of o**9/3780 + o**8/560 + o**7/210 + o**6/180 - 4*o**4/3 - 12*o. Let y(t) be the third derivative of l(t). Factor y(z).
4*z*(z + 1)**3
Let y(b) be the second derivative of -b**4/90 - 106*b**3/45 - 2809*b**2/15 - 153*b. Determine f, given that y(f) = 0.
-53
Let u = 7/195 + -101/3900. Let v(b) be the third derivative of -u*b**5 + b**2 - 1/5*b**3 + 0 - 3/40*b**4 + 0*b. Factor v(o).
-3*(o + 1)*(o + 2)/5
Let d(n) = 2*n**3 - 6*n**2 + 15*n + 11. Let g(a) = -1 + 10*a - 1 + 1 - 11*a. Let s(w) = -2*d(w) - 22*g(w). Determine u so that s(u) = 0.
0, 1, 2
Let o(z) be the second derivative of z**6/5 - z**5/5 - z**4/2 + 2*z**3/3 - 18*z. Factor o(t).
2*t*(t - 1)*(t + 1)*(3*t - 2)
Let d(u) be the third derivative of -u**11/498960 + u**9/90720 + 4*u**5/15 - 12*u**2. Let n(q) be the third derivative of d(q). Determine j so that n(j) = 0.
-1, 0, 1
Let 18/7*b**3 + 0 + 2/7*b**4 + 16/7*b**2 + 0*b = 0. Calculate b.
-8, -1, 0
Let m = 5 + -3. Let o be (11 + -5)/1 + -6. Factor -1/3*g**m + 1/3 + o*g.
-(g - 1)*(g + 1)/3
Let j(u) be the third derivative of 13/210*u**5 + 0 + 2*u + 4/21*u**3 + 1/735*u**7 - 1/70*u**6 - 1/7*u**4 - 15*u**2. Factor j(r).
2*(r - 2)**2*(r - 1)**2/7
Let g(k) be the second derivative of k**6/80 - 3*k**5/32 - k**4/16 - 17*k**2/2 - 8*k. Let y(z) be the first derivative of g(z). Factor y(w).
3*w*(w - 4)*(4*w + 1)/8
Suppose -14 = -3*a - 2. Suppose d + d = a. Suppose -5*j + 2*j**2 + 8*j - 12*j**3 + 32 + d*j**4 + 45*j = 0. Calculate j.
-1, 4
Let x(u) = u + 2. Let z(o) = -o - 8. Let f be z(-8). Let i be x(f). Factor -32*c**3 + 14*c**4 - 29 + 32*c + 3 - 6 + 16*c**2 - i*c**5.
-2*(c - 2)**4*(c + 1)
Factor 94/17*a + 10/17*a**2 - 60/17.
2*(a + 10)*(5*a - 3)/17
Let h(r) be the first derivative of -1/36*r**4 - 1/60*r**5 + 0*r**3 + 6 - 2*r**2 - 1/360*r**6 + 0*r. Let z(k) be the second derivative of h(k). Factor z(m).
-m*(m + 1)*(m + 2)/3
Let x(i) be the first derivative of 0*i**2 + 7/8*i**4 - 14 - i**3 - 1/10*i**5 + 0*i. Find m such that x(m) = 0.
0, 1, 6
Let p(z) be the second derivative of 0*z**2 - 14*z + 1 - 1/2*z**3 - 1/12*z**4. Factor p(m).
-m*(m + 3)
Let p(a) be the first derivative of -a**6/720 + a**5/240 + a**4/8 + 10*a**3/3 + 19. Let x(l) be the third derivative of p(l). Solve x(u) = 0 for u.
-2, 3
Let d = 6296 - 69254/11. Suppose 6/11*u**3 + 0 + 2/11*u**4 + 6/11*u**2 + d*u = 0. Calculate u.
-1, 0
Let x(t) be the first derivative of -2*t**5/55 + 14*t**4/11 - 18*t**3/11 + 233. Factor x(v).
-2*v**2*(v - 27)*(v - 1)/11
Determine x, given that 2/13*x**3 + 0*x + 2*x**2 + 0 = 0.
-13, 0
Factor -43*k + 12*k**3 - 292*k**4 + 180*k**4 + 4*k**2 + 43*k.
-4*k**2*(4*k - 1)*(7*k + 1)
Let v = 329/5835 + 4/389. Let i(f) be the third derivative of 0*f - 1/3*f**4 + 0 + 0*f**3 + 11*f**2 - v*f**5. Suppose i(r) = 0. What is r?
-2, 0
Let d = -328 + 324. Let y be 2/(-7)*(129/(-27) - d). What is l in 8/9 - y*l**2 + 0*l = 0?
-2, 2
Let f(p) be the third derivative of 1/42*p**7 + 0*p**4 + 0*p**3 + 0 + 0*p - 1/8*p**6 + 1/6*p**5 + 15*p**2. Suppose f(g) = 0. What is g?
0, 1, 2
Suppose 15*f + 75 + 30 = 0. Let w be 1/f - 165/(-77). Let 6/5*g + 3/5 - 6/5*g**3 - 3/5*g**4 + 0*g**w = 0. What is g?
-1, 1
Let o(x) = x**3 + 1. Let c be o(1). Let f be (-8)/6*420/(-224). Factor -f*n**2 + 4*n + 1/2*n**3 - c.
(n - 2)**2*(n - 1)/2
Let l = 49 - 45. Suppose -57*j = -51*j - 12. Find f, given that l*f**j + 1/4 + 2*f = 0.
-1/4
Let f be 4 - (3/(-1))/3. Let k = -1 + f. Determine z so that 3*z**5 - 12*z + 9*z**3 - 6*z**4 + 0*z - 6*z**k + 12*z**2 = 0.
-1, 0, 1, 2
Let j(q) = 85*q**2 - 25*q - 5. Let h(r) = -43*r**2 + 12*r + 2. Let p = -3 - -8. Let k(v) = p*h(v) + 2*j(v). Let k(z) = 0. What is z?
0, 2/9
Let y(j) = -13*j**3 - 52*j**2 + 782*j + 2890. Let m(h) = -2*h**3 + h**2 + h + 1. Let o(v) = -28*m(v) + 4*y(v). Find i, given that o(i) = 0.
-3, 31
Let x(v) = 2*v**5 + 14*v**4 - 18*v**3 - 10*v**2 + 22*v + 2. Let p(s) = -2*s**5 - s**4 + s**2 + s - 1. Let w(u) = -2*p(u) - x(u). What is j in w(j) = 0?
-1, 0, 2, 3
Solve -27/7*t**2 + 24/7 + 3/7*t**4 - 3*t**3 + 3*t = 0 for t.
-1, 1, 8
Factor -b**2 + 558/5*b + 224/5.
-(b - 112)*(5*b + 2)/5
Let n(o) be the first derivative of -4/13*o**2 + 4 - 2/39*o**3 + 0*o. Suppose n(m) = 0. What is m?
-4, 0
Let x(w) be the first derivative of -w**7/168 + w**6/36 - w**5/24 - 5*w**3/3 + 4. Let z(b) be the third derivative of x(b). Determine q so that z(q) = 0.
0, 1
Let j(o) be the first derivative of -1/14*o**4 + 0*o**2 - 9/35*o**5 + 0*o + 0*o**3 - 9. Factor j(r).
-r**3*(9*r + 2)/7
Let o(j) be the second derivative of j**5/120 - 13*j**4/72 + 23*j**3/36 - 11*j**2/12 + 750*j. Factor o(k).
(k - 11)*(k - 1)**2/6
Suppose -18 = -16*q + 10*q. Let w(n) be the third derivative of 0*n - 1/3*n**q - 1/24*n**4 + 0 + n**2 + 1/60*n**5. Determine m, given that w(m) = 0.
-1, 2
Let f(z) be the first derivative of 0*z**2 + 0*z - 12 - 1/21*z**6 - 1/14*z**4 - 4/35*z**5 + 0*z**3. Let f(m) = 0. What is m?
-1, 0
Let a = 30627604264/28526697 - -4/1678041. Factor -162/17 + 2808/17*i - a*i**2 + 52728/17*i**3 - 57122/17*i**4.
-2*(13*i - 3)**4/17
Let c(u) = -u**4 + u**3 - 2*u**2 + u - 1. Let q(s) = 4*s**4 - 3*s**3 + 2*s**2 - 3*s + 3. Let i(n) = 12*c(n) + 4*q(n). Solve i(m) = 0.
-2, 0, 2
Factor -5/6*f**3 - 1/12*f**5 + 1/12 - 5/12*f + 5/12*f**4 + 5/6*f**2.
-(f - 1)**5/12
Let u be (120/(-280))/(12/(-56)). Factor -6/5*p**3 - 2*p**u + 0 + 2/5*p**5 - 4/5*p + 2/5*p**4.
2*p*(p - 2)*(p + 1)**3/5
Factor -6/5*i**3 + 0 - 2/5*i**5 + 2/5*i**2 + 6/5*i**4 + 0*i.
-2*i**2*(i - 1)**3/5
Let q be (-112)/(-49) + 36/(-126). Determine x so that 2/5*x**4 + 0 - 4/5*x**3 + 4/5*x - 2/5*x**q = 0.
-1, 0, 1, 2
Let f(d) be the first derivative of d**6/1080 - d**5/180 + d**4/72 + d**3/3 + 12. Let l(x) be the third derivative of f(x). Suppose l(k) = 0. Calculate k.
1
Let l = 0 + 2. Suppose 5*h = -5*r, -2*h - l*h = 20. What is b in -4*b**4 - 3*b**5 - 2*b**3 + 0*b**3 + b**r = 0?
-1, 0
Let x(b) = -3*b + 34. Let q be 