/3*k**g - 10/3*k + 0.
-2*k*(k + 5)/3
Suppose 15 + 269*r - 2*r**4 - 69 + 3*r**3 + 55*r**2 - 133*r - 139*r + r**4 = 0. What is r?
-6, -1, 1, 9
Let b(p) = -p**3 + 6*p**2 + 12*p - 1. Let w be b(8). Let a be w/22*4/(-39). Suppose 0 + 0*c + a*c**2 = 0. Calculate c.
0
Let d = 964 + -953. Let y(g) be the second derivative of -1/2*g**3 + 0 + d*g - 3/20*g**4 + 3/5*g**2. Find l, given that y(l) = 0.
-2, 1/3
Let z(i) be the third derivative of -i**7/105 - i**6/15 + i**5/30 + i**4/3 + 7*i**2 + 1. Factor z(w).
-2*w*(w - 1)*(w + 1)*(w + 4)
What is s in 6 + 20*s**3 - 26 + 5*s**4 + 15*s**2 + 0*s**4 - 20*s = 0?
-2, -1, 1
Let s(u) be the first derivative of -1/5*u**5 + 1/3*u**3 + 0*u**4 + 0*u**2 + 16 + 0*u. Let s(x) = 0. Calculate x.
-1, 0, 1
Let z(y) be the first derivative of 10*y**3/33 + 6*y**2/11 + 2*y/11 + 220. Factor z(x).
2*(x + 1)*(5*x + 1)/11
What is n in -36 - 25 + 5 - 31*n - 4*n**2 - 5*n = 0?
-7, -2
Suppose -5*a - k = -27, -5*k = -8*a + 3*a + 45. Let z(m) = -2*m + 14. Let y be z(a). Suppose 23*d**2 + 7*d**3 + y - 3 - 1 + 20*d + 6 = 0. What is d?
-2, -1, -2/7
Let d(s) be the first derivative of s**6/4 + 3*s**5/4 - 3*s**4/4 - 19*s**3/4 - 6*s**2 - 3*s + 34. Suppose d(l) = 0. Calculate l.
-2, -1, -1/2, 2
Let b(i) be the third derivative of 0 + 0*i**5 + 0*i - 1/315*i**7 + 17*i**2 + 0*i**4 + 0*i**3 - 1/180*i**6. Factor b(d).
-2*d**3*(d + 1)/3
Let a(z) be the first derivative of -z**4/24 + 4*z**3/9 + 11*z**2/3 + 8*z + 167. Factor a(j).
-(j - 12)*(j + 2)**2/6
Let x = 30 - 26. Factor 6*r**4 + 0 - 15*r + 5*r**5 - 10*r**2 + 10*r**3 - 6 + 1 + 9*r**x.
5*(r - 1)*(r + 1)**4
Suppose -30*o - 5041 = -5101. Factor 16/15 + 14/15*u**3 + 2/15*u**4 + 12/5*u**o + 8/3*u.
2*(u + 1)*(u + 2)**3/15
Factor -1/3*c**2 - 12*c + 37/3.
-(c - 1)*(c + 37)/3
Factor 3*v**2 + 2*v**4 - 3*v**2 + 8 + 14*v**2 + 24*v + 12*v**2 + 12*v**3.
2*(v + 1)**2*(v + 2)**2
Factor -1/2*c**2 - c - 1/2.
-(c + 1)**2/2
Determine d, given that -1/2*d**2 + 19 + 17/2*d = 0.
-2, 19
Let o(k) be the second derivative of k**4/4 - 3*k**3 + 15*k**2/2 - 455*k. Factor o(x).
3*(x - 5)*(x - 1)
Factor -267/4*s + 3/4*s**2 + 261/2.
3*(s - 87)*(s - 2)/4
Find d such that -478 + 1232 + 5584*d + 24840*d**2 - 338 + 1112*d**4 + 35964*d**3 - 4028*d**4 = 0.
-2/9, 13
Solve -9*l**2 + 5*l**2 - 13*l + 11*l + 6*l = 0 for l.
0, 1
Let z(w) = 4*w**2 + 26*w - 122. Let o(k) be the first derivative of -k**3/3 + k**2/2 - k + 18. Let u(j) = -6*o(j) - z(j). Let u(s) = 0. What is s?
8
Let u = -1482 - -1491. Let k(o) be the second derivative of 1/4*o**4 + 0 + 27/100*o**5 - 7/50*o**6 + 3/5*o**2 + u*o - 9/10*o**3. Suppose k(h) = 0. Calculate h.
-1, 2/7, 1
Let h be 662*-5*(-3)/45. Let n = -218 + h. Let -4/3*f + 0*f**3 - 8/3*f**4 + n*f**2 + 4/3*f**5 + 0 = 0. Calculate f.
-1, 0, 1
Let b = -20633/6 - -3442. Let -3/2*r**4 + 7/6*r**5 + 13/6*r**2 - 2/3 + 2*r - b*r**3 = 0. Calculate r.
-1, 2/7, 1, 2
Suppose -26*l**3 + 59426 - 58821 - 600*l**2 - 110*l + 136*l**3 - 5*l**4 = 0. Calculate l.
-1, 1, 11
Let b = -44089/234 - -2323/13. Let m = -19/2 - b. Factor 2/9*d**4 + 0 - m*d**3 + 2/9*d - 2/9*d**2.
2*d*(d - 1)**2*(d + 1)/9
Let z = 24208/16139 + 1/32278. Factor 9/2*k + 3/2 - z*k**2 - 9/2*k**3.
-3*(k - 1)*(k + 1)*(3*k + 1)/2
Let k = -1917/2 + 2876/3. Let b(h) be the third derivative of 0 + 0*h**4 + 0*h + 0*h**3 + 11*h**2 - k*h**5 + 5/24*h**6. Find n such that b(n) = 0.
0, 2/5
Determine h, given that 0 - 8/3*h**2 - 5/3*h**5 + 0*h - 22/3*h**4 - 28/3*h**3 = 0.
-2, -2/5, 0
Factor 2/3*v**2 - 60 - 178/3*v.
2*(v - 90)*(v + 1)/3
Let b(y) be the third derivative of -y**6/720 + 19*y**5/360 - 4*y**2 + 13. Find v such that b(v) = 0.
0, 19
Let f be (-2)/(24/30)*2. Let m be f + (-204)/(-30) + 3. What is w in -12/5 + 3/5*w**5 + m*w - 3*w**3 - 3/5*w**2 + 3/5*w**4 = 0?
-2, 1
Let t(g) be the third derivative of -g**5/30 + 21*g**4/8 + 21*g**2. Let q(w) = 15*w**2 - 505*w. Let k(c) = 3*q(c) + 25*t(c). Let k(y) = 0. What is y?
0, 12
Let x = -134 - -154. Factor 32*o + 20*o**2 + x*o**3 - 15*o**3 - 7*o - 3 + 13.
5*(o + 1)**2*(o + 2)
Let i(n) be the second derivative of -3/5*n**5 - 5/4*n**4 + n - 1/2*n**3 + 0*n**2 + 0. Factor i(v).
-3*v*(v + 1)*(4*v + 1)
Let i(t) be the second derivative of t**6/80 + t**5/24 + t**4/48 - t**3/12 + 9*t**2 - 19*t. Let o(s) be the first derivative of i(s). Let o(k) = 0. Calculate k.
-1, 1/3
Let l(w) be the first derivative of -w**4/48 + w**3/2 - 9*w**2/2 - 9*w - 5. Let q(n) be the first derivative of l(n). Factor q(d).
-(d - 6)**2/4
Let x(y) = -2*y**3 + 10*y - 6. Let a be (-3087)/(-135) + (-2)/(-15). Let f = a - 24. Let l(d) = d**2 - d - 1. Let s(q) = f*x(q) - 2*l(q). Factor s(r).
2*(r - 2)*(r - 1)*(r + 2)
Let s(y) be the second derivative of -2/7*y**2 - 25/21*y**3 + 22*y + 0 - 2/7*y**4. Factor s(f).
-2*(f + 2)*(12*f + 1)/7
Suppose n - 12 = 4*n, 3*n + 3 = -3*o. Let h(u) be the first derivative of 0*u**2 + 0*u**o + 0*u - 8 - 3/20*u**5 + 1/8*u**4. Factor h(s).
-s**3*(3*s - 2)/4
Let q(i) be the third derivative of 1/40*i**6 + 0*i - 1/8*i**4 + 0 + 1/120*i**5 + 0*i**3 - 1/420*i**7 + 37*i**2. Find x, given that q(x) = 0.
-1, 0, 1, 6
Let m(y) = 3*y**2 - 8*y**2 + 5*y**2 + y**3 + y**2 + 1. Let u(p) = 3*p**3 + 15*p**2 + 3*p - 3. Let k(h) = -6*m(h) + u(h). Factor k(d).
-3*(d - 3)*(d - 1)*(d + 1)
Let x = 42 + -9. Let v = x + -33. Factor 2/3*s**2 + v*s - 7/3*s**3 + 0.
-s**2*(7*s - 2)/3
Let f = -17 + 22. Find p, given that -7*p**3 + 5*p**4 - f*p**3 + 7*p**3 = 0.
0, 1
Solve 153/5*p**3 - 15*p**5 + 72/5 - 48*p**4 - 372/5*p + 462/5*p**2 = 0.
-3, -2, 2/5, 1
Let o(p) be the third derivative of -1/54*p**4 + 0*p**6 - 1/945*p**7 + 1/90*p**5 + 0*p**3 + 0*p + 7*p**2 + 0. What is s in o(s) = 0?
-2, 0, 1
Let l(r) be the third derivative of -r**7/210 + r**6/36 - r**5/15 - r**4 - 15*r**2. Let q(b) be the second derivative of l(b). Find p, given that q(p) = 0.
2/3, 1
Let s(p) be the second derivative of -p**4/21 + 60*p**3/7 + 26*p**2 - 9*p + 62. Factor s(u).
-4*(u - 91)*(u + 1)/7
Let j = -45 + 177. Let q = j - 128. Determine x, given that -1/2 + 7/2*x - 5/2*x**5 - x**3 + 53/8*x**q - 49/8*x**2 = 0.
-1, 1/4, 2/5, 1, 2
Let r(o) be the third derivative of 1/15*o**5 - 1/360*o**6 + 0*o - 2/3*o**4 + 32/9*o**3 + 0 - 2*o**2. What is k in r(k) = 0?
4
Suppose -119*n + 2718 = -138. Let -3/2*k**2 - n - 12*k = 0. Calculate k.
-4
Let a = -4109 - -45361/11. Let r = a - 160/11. Suppose -2/11*o**2 - r - 4/11*o = 0. What is o?
-1
Suppose x = 2*s + 7, 5*s - 4*s + 11 = 3*x. Factor -24*n**2 + 0 - x*n - 189/4*n**3.
-3*n*(7*n + 2)*(9*n + 2)/4
Let q(y) = y**3 - 9*y**2 + 6. Let h be q(9). Suppose -5*d = -2*d. Determine p so that 6 + d*p - 3*p**3 + 2*p + 0*p - h*p**2 + p = 0.
-2, -1, 1
Let m(v) be the third derivative of -v**7/168 + v**6/72 - v**4/2 + 11*v**2. Let b(k) be the second derivative of m(k). Factor b(a).
-5*a*(3*a - 2)
Let i(a) be the third derivative of -1/6*a**4 + 1/6*a**3 + 7/240*a**5 + 11*a**2 + 0 + 0*a. Let i(u) = 0. Calculate u.
2/7, 2
Let u(w) = 25*w**5 + 413*w**4 + 1757*w**3 + 646*w**2. Let q(d) = 25*d**5 + 412*d**4 + 1758*d**3 + 644*d**2. Let h(g) = -3*q(g) + 2*u(g). Solve h(b) = 0.
-8, -2/5, 0
Suppose f + 5*f = -90. Let b be (-3)/(-5) - f/((-900)/(-84)). Factor 2/3*g**b + 2/3 - 4/3*g.
2*(g - 1)**2/3
Let f = -11/54 + 10/27. Let i(k) be the second derivative of 3*k + 0 + k**2 - 1/3*k**3 - f*k**4 + 1/10*k**5. Suppose i(p) = 0. What is p?
-1, 1
Let z(l) be the first derivative of -l**6/20 - 9*l**5/40 - l**4/4 + 50*l + 15. Let h(q) be the first derivative of z(q). What is c in h(c) = 0?
-2, -1, 0
Let q(x) be the first derivative of 4*x**5/5 + 12*x**4 - 52*x**3/3 + 115. Let q(l) = 0. What is l?
-13, 0, 1
Suppose 66/5*g**2 - 54/5*g**3 + 9/5 - 3/5*g**5 - 39/5*g + 21/5*g**4 = 0. What is g?
1, 3
Factor -189*y**2 + 184771 - 4005 - 309*y + 2119*y - 16961 + 194*y**2.
5*(y + 181)**2
Factor -11 + 30*n**2 - 138*n + 41 - 5*n**3 + 83*n.
-5*(n - 3)*(n - 2)*(n - 1)
Suppose -4*i = 27 + 61. Let l be 6 + -2 + (i/6)/1. Factor 0 + 0*k + 2/3*k**2 - l*k**3.
-k**2*(k - 2)/3
Let n(p) be the second derivative of p**5/40 + 4*p**4/3 + 64*p**3/3 - 663*p. Suppose n(a) = 0. Calculate a.
-16, 0
Determine s so that 7213*s + 24964 + 5809*s - 1172*s + 2*s**3 - 312*s**2 = 0.
-2, 79
Let h = -23 - -24. Let c be (h/(3/(-8)))/(10/(-6)). Factor -c*s**2 + 0*s + 0 - 10*s**4 - 8*s**3.
-2*s**2*(5*s + 2)**2/5
Let x(t) be the first derivative 