 Let 2/5*h**3 - 2/5*h - a + 2/5*h**2 = 0. Calculate h.
-1, 1
Let v = -27509/5 - -5503. Let 0*c - 2/5*c**3 - 8/5 + v*c**2 = 0. What is c?
-1, 2
Let f = -2 - -6. Let k(i) = -i**3 + 3*i**2 + 5*i - 2. Let v be k(f). Factor -3*x**3 + 2*x**3 - 3*x**5 - v*x**4 + 2*x**5.
-x**3*(x + 1)**2
Let o(v) = 2*v**3 + 6*v**2 - 8*v - 6. Let s be o(-4). Let l be (4/s)/(94/(-705)). Factor -8/3*n**4 + 0*n**2 + 8/3*n**3 + 2/3*n**l + 0 + 0*n.
2*n**3*(n - 2)**2/3
Let d be (4/2)/((-2)/(-3)). Let b(q) = -59*q + 22*q - q**2 + 0*q**2 + 20*q + 16*q. Let w(t) = -t**2 + 11*t + 12. Let y(p) = d*b(p) + w(p). Factor y(c).
-4*(c - 3)*(c + 1)
Let y(o) = 10*o**5 - 38*o**4 + 55*o**3 - 29*o**2 + 5*o. Let w(q) = q**5 - q**4 - 4*q**3 + q. Let s(b) = -2*w(b) - 2*y(b). Let s(k) = 0. Calculate k.
0, 6/11, 1
Factor 85/3*u - 50 + 1/3*u**3 - 16/3*u**2.
(u - 6)*(u - 5)**2/3
Suppose -68*v**2 + 3 - 5*v**3 + 11*v + 5 + 95*v**2 - 41*v = 0. What is v?
2/5, 1, 4
Let v(n) = n**5 + n**4 + n**3 + n**2 + 1. Let l(y) = 32*y**5 + 6*y**4 - 12*y**3 + 14*y**2 + 10. Let b(d) = 2*l(d) - 20*v(d). Suppose b(x) = 0. Calculate x.
-1, 0, 2/11, 1
Let n be (16/(-1496))/(9/(-99)). Factor 4/17*a - n - 2/17*a**2.
-2*(a - 1)**2/17
What is t in 44/3*t**3 + 8*t**2 - 32/9*t + 28/9*t**4 + 0 = 0?
-4, -1, 0, 2/7
Let s(n) be the second derivative of -n**8/3360 + n**7/630 + n**6/120 + 5*n**4/4 + 4*n. Let u(b) be the third derivative of s(b). Factor u(a).
-2*a*(a - 3)*(a + 1)
Let r(m) be the third derivative of 0 + 1/420*m**5 + 13*m**2 + 2/21*m**3 + 0*m - 5/168*m**4. Let r(q) = 0. What is q?
1, 4
Let h(c) be the second derivative of 3/4*c**4 + 0 + 24*c + 8/7*c**3 + 27/140*c**5 + 6/7*c**2. Factor h(f).
3*(f + 1)*(3*f + 2)**2/7
Let c(s) be the second derivative of -s**6/195 + s**5/26 - 7*s**4/78 + s**3/13 - 129*s. Factor c(d).
-2*d*(d - 3)*(d - 1)**2/13
Let o(m) be the first derivative of -3/5*m**5 + 0*m**2 - 2*m**3 - 8 + 9/4*m**4 + 0*m. Suppose o(g) = 0. What is g?
0, 1, 2
Let -18 - 8/3*p**2 - 218/3*p = 0. Calculate p.
-27, -1/4
Let b be 2 - 3 - ((-39)/36 - 0). Let h(o) be the third derivative of 1/3*o**3 - 1/60*o**6 + 0*o + b*o**4 + 0 + 3*o**2 - 1/30*o**5. Find g, given that h(g) = 0.
-1, 1
Let n(p) be the second derivative of 1/60*p**4 + 1/10*p**3 - 23*p + 0 + 1/5*p**2. Factor n(w).
(w + 1)*(w + 2)/5
Let g be 1/(-7 + 161/21). Factor 3/4 - g*z + 0*z**2 + 3/2*z**3 - 3/4*z**4.
-3*(z - 1)**3*(z + 1)/4
Factor 0*p**2 + 0 + 4/5*p**5 + 4/5*p**4 + 0*p - 24/5*p**3.
4*p**3*(p - 2)*(p + 3)/5
Let y be 15 + -15 - (-4)/(-14) - 64/(-224). Factor -2/19*t**5 + 0 - 2/19*t**3 + y*t**2 + 0*t + 4/19*t**4.
-2*t**3*(t - 1)**2/19
Let o(u) = 20*u**2 - 4*u - 1. Let r be o(2). Let b = 71 - r. Factor 0*a**2 - 1/4*a**3 + b + 0*a + 1/4*a**4.
a**3*(a - 1)/4
Let a = 272/63 + -86/21. Suppose a*o**3 - 2/3*o**2 - 8/9*o + 0 = 0. What is o?
-1, 0, 4
Let s(h) be the first derivative of 3/2*h**2 - 1/3*h - 10/3*h**3 + 5 + 23/6*h**4 + 1/2*h**6 - 11/5*h**5. Factor s(l).
(l - 1)**3*(3*l - 1)**2/3
Let g be 2750/2299 - 12/114. Find c, given that -g*c + 2/11*c**2 + 18/11 = 0.
3
Let w(y) = -6*y**4 - 10*y**3 - 2*y**2 + 32*y - 24. Let s(o) = 2*o**4 + 2*o**2 + o. Let m(f) = -4*s(f) - 2*w(f). Determine t, given that m(t) = 0.
-4, -3, 1
Let g = 8 - 14. Let h be ((-24)/9)/(g/9). Factor h*p - 7*p**2 - p**3 - 4*p**3 - 3*p**2 - p**3.
-2*p*(p + 2)*(3*p - 1)
Let v(x) = -2*x**3 + 8*x**2 - 4*x + 8. Let n be v(4). Let p be (2/n)/((-1)/(128/52)). Factor 0*l + 8/13*l**3 + 0 + 2/13*l**5 - p*l**4 + 0*l**2.
2*l**3*(l - 2)**2/13
Suppose -2*s + 2*s - 19*s = 0. Let b(n) be the third derivative of -4*n**2 + 1/300*n**5 + 0*n + 2/15*n**3 + s + 1/30*n**4. Factor b(l).
(l + 2)**2/5
Let p = 1884 - 5632/3. Factor -p + 5/3*v**2 + 0*v.
5*(v - 2)*(v + 2)/3
Let c(q) be the third derivative of q**8/2240 + q**7/280 + q**6/120 + 9*q**4/8 - 14*q**2. Let s(k) be the second derivative of c(k). Solve s(t) = 0 for t.
-2, -1, 0
Determine k, given that -8/9*k + 0 - 2/9*k**2 = 0.
-4, 0
Let b(w) be the third derivative of w**6/900 - 59*w**5/450 + 23*w**4/36 - 19*w**3/15 + 369*w**2. Factor b(q).
2*(q - 57)*(q - 1)**2/15
Suppose 0 = -50*w + 55*w - 5. Let h be (-120)/(-15) - 4/w. Solve 8/5*y**3 - 2/5 + 8/5*y - 2/5*y**h - 12/5*y**2 = 0.
1
Let k(z) = 3*z**3 + 9*z**2 - 12*z - 6. Suppose 0 = -13*d + 11*d + 10. Let q(a) = -3*a**3 - 8*a**2 + 11*a + 5. Let i(m) = d*k(m) + 6*q(m). Factor i(y).
-3*y*(y - 1)*(y + 2)
Let a(g) be the second derivative of -g**6/165 - 3*g**5/110 - g**4/66 + g**3/11 + 2*g**2/11 - 323*g. Solve a(x) = 0.
-2, -1, 1
Suppose -5*h + v + 19 = -2*h, 5*h + 3*v + 1 = 0. Solve 9 - 1/2*r**3 - 21/2*r + h*r**2 = 0.
2, 3
Find a such that 19*a - 8*a**3 - 5*a**4 + 9*a**4 - 11*a**2 - 35*a - 17*a**2 = 0.
-1, 0, 4
Let i(q) be the second derivative of q**6/75 + q**5/10 + 2*q**4/15 + 47*q. Factor i(p).
2*p**2*(p + 1)*(p + 4)/5
Let n(o) = o**4 - 2*o**3 + o**2 + 6*o + 2. Let q(x) = 7*x**4 - 12*x**3 + 5*x**2 + 35*x + 11. Suppose -m = 5 + 1. Let s(w) = m*q(w) + 39*n(w). Factor s(z).
-3*(z - 2)*(z + 1)**2*(z + 2)
Let t(s) be the first derivative of 0*s + 0*s**2 - 8/27*s**3 - 2/9*s**5 + 1/27*s**6 + 4/9*s**4 - 16. Determine x, given that t(x) = 0.
0, 1, 2
Let k(l) be the first derivative of 10*l**7/21 + 16*l**6/15 - 4*l**5/5 + 5*l - 6. Let i(b) be the first derivative of k(b). Factor i(r).
4*r**3*(r + 2)*(5*r - 2)
Let w(h) = -8*h**4 + 22*h**3 - 14*h + 2. Let q(o) = 9*o**4 - 23*o**3 - o**2 + 15*o - 3. Let a be 4 - 10/1 - -4. Let i(p) = a*q(p) - 3*w(p). Factor i(d).
2*d*(d - 3)*(d - 1)*(3*d + 2)
Let l(j) = -2*j**5 - 11*j**4 + 2*j**3 + 5*j**2 - 3. Let u(r) = 5*r**5 + 23*r**4 - 5*r**3 - 9*r**2 + 7. Let w(f) = 7*l(f) + 3*u(f). Factor w(m).
m**2*(m - 8)*(m - 1)*(m + 1)
Suppose -16*u = -74*u. Factor u*b**2 + 0 - 2/7*b**3 + 0*b**4 + 1/7*b + 1/7*b**5.
b*(b - 1)**2*(b + 1)**2/7
Let y(x) = 10*x**2 + 94*x - 80. Let v(l) = l**2 + l. Let a(r) = 12*v(r) - y(r). Suppose a(j) = 0. Calculate j.
1, 40
Let c(b) be the second derivative of b**5/5 + 37*b**4/3 + 560*b**3/3 - 2400*b**2 - 428*b. Factor c(j).
4*(j - 3)*(j + 20)**2
Let o(z) be the third derivative of -z**8/1680 - 2*z**7/525 - z**6/200 - 15*z**2 + 5*z. Find h such that o(h) = 0.
-3, -1, 0
Let y(v) be the third derivative of 11*v**6/24 - 2*v**5 + 5*v**4/6 - 94*v**2. What is h in y(h) = 0?
0, 2/11, 2
Let h be (8 + -20 - -11) + 10/2. Let l(f) = f**2 + 16*f + 3. Let a be l(-16). Suppose -8*o**2 - 1/3*o**h + 16/3*o + a*o**3 + 0 = 0. Calculate o.
0, 1, 4
Let a(u) be the second derivative of u**6/15 - 283*u**5/40 + 209*u**4/24 + 35*u**3/6 - 97*u - 3. Factor a(p).
p*(p - 70)*(p - 1)*(4*p + 1)/2
Let w(m) be the third derivative of 3/140*m**5 + 0*m - 1/7*m**4 - 1/840*m**6 + 8/21*m**3 - 23*m**2 + 0. Factor w(i).
-(i - 4)**2*(i - 1)/7
Let w = 1/49 - 1/735. Let j(y) be the third derivative of 0*y + 0*y**3 + 1/30*y**6 + 0*y**4 + w*y**7 - y**2 + 0 - 2/15*y**5. Determine m, given that j(m) = 0.
-2, 0, 1
Let s = 15293 - 107047/7. Factor -4/7*j**2 + 8/7 + s*j.
-4*(j - 2)*(j + 1)/7
Let o(p) be the first derivative of -11 - 64*p**2 + 32*p**3 - 6*p**4 + 0*p + 2/5*p**5. Factor o(v).
2*v*(v - 4)**3
Suppose 2*v - 3*t - 24 = 0, -4*v = -0*v + 3*t - 12. Let o be 10/15*9/v. Factor 6*q**2 + o - q + 5*q - 3 - 8*q**2.
-2*(q - 1)**2
Suppose 0 = -33*d - 36*d - 7*d. Factor d + 2/3*k**4 + 14/3*k**2 - 10/3*k**3 - 2*k.
2*k*(k - 3)*(k - 1)**2/3
Factor -16 - 30*x**2 - 375*x + 343*x - 4*x**3 - 7*x**3 + x**4 + 3*x**3 + 5.
(x - 11)*(x + 1)**3
Suppose -15053*k + 15065*k - 36 = 0. Factor 75/2 - 29/6*x**2 - 65/2*x - 1/6*x**k.
-(x - 1)*(x + 15)**2/6
Suppose 0 = -f - 4*v + 10, 0 = -2*f + 2*v - 0*v. Let r be (-3)/(1*(-7)/f). Solve -6/7*a + r*a**3 - 3/7*a**2 + 0 + 3/7*a**4 = 0.
-2, -1, 0, 1
Let g(c) be the second derivative of -c**6/15 + 9*c**5/10 - 2*c**4 - 80*c**3/3 + 192*c**2 - 38*c. Find u, given that g(u) = 0.
-3, 4
Find v such that 7/2*v**2 - 4*v + 0 = 0.
0, 8/7
Let q(l) be the first derivative of 5*l**4/12 - 35*l**3/3 + 100*l**2 - 500*l/3 + 23. Suppose q(o) = 0. What is o?
1, 10
Let f(k) = 255*k - 2037. Let g be f(8). Determine l so that -9/2*l**4 + 0 + 3*l - 12*l**g - 9/2*l**2 = 0.
-2, -1, 0, 1/3
Let n(j) be the second derivative of j**4/78 - 10*j**3/39 - 75*j. Determine y so that n(y) = 0.
0, 10
Let v(o) be the second derivative of 5*o - 1/20*o**5 + 1/48*o**6 - 1/336*o**7 + 0 + 1/24*o**4 + 0*o**2 + 0*o**3. Factor v(t).
-t**2*(