Calculate x.
0
Suppose 0 = -2*u + 5*u. Suppose -5*p + 10 = 0, 3*k - 4*p + 2 = -u*k. Factor 1 - 3/2*g + 1/2*g**k.
(g - 2)*(g - 1)/2
Let l be ((-15)/(-27))/(-5) - -1. Factor 0 - 2/3*u**3 + 2/9*u**5 - l*u**2 + 4/9*u**4 + 8/9*u.
2*u*(u - 1)**2*(u + 2)**2/9
Let h(y) be the second derivative of 0 + 1/90*y**6 + 1/6*y**4 - 2/9*y**3 + 1/6*y**2 + 6*y - 1/15*y**5. What is v in h(v) = 0?
1
Let t(h) be the second derivative of h**7/42 - h**6/5 + 11*h**5/20 - h**4/6 - 2*h**3 + 4*h**2 + 45*h. Find b, given that t(b) = 0.
-1, 1, 2
Factor -12*l + 16 + 15*l + 21*l + 10*l**2 + l**3 - l**2.
(l + 1)*(l + 4)**2
Let -1/4*r**2 + 0*r + 0*r**3 + 1/4*r**4 + 0 = 0. Calculate r.
-1, 0, 1
Suppose 0*c + 5*c - 15 = 0. Let d(y) be the third derivative of 0*y - 1/120*y**4 - 1/300*y**5 + 0 - 2*y**2 + 0*y**c. Find p, given that d(p) = 0.
-1, 0
Suppose 5 = 5*y - 5*f, 0 = 8*y - 3*y + f - 17. Factor 1/4*v + 1/2*v**2 - 1/4*v**y - 1/2.
-(v - 2)*(v - 1)*(v + 1)/4
Let o(n) be the second derivative of 0 - 1/3*n**4 + 0*n**2 + 1/10*n**5 + 1/3*n**3 - 2*n. Factor o(x).
2*x*(x - 1)**2
Let l(u) = 2*u**2 + 4*u + 7. Let c be l(-3). Let q be ((-26)/12)/c*-3. Factor 1/2*j**5 + 0*j - 1/2*j**2 + 0 + q*j**4 - 1/2*j**3.
j**2*(j - 1)*(j + 1)**2/2
Factor 5*s**4 + 0*s**4 - 145*s**3 + 140*s**3.
5*s**3*(s - 1)
Let z(l) be the second derivative of l**7/42 + 2*l**6/25 - 11*l**5/100 - 13*l**4/30 + 2*l**3/5 + 4*l**2/5 - 10*l. Suppose z(o) = 0. Calculate o.
-2, -2/5, 1
Let r(y) be the second derivative of 0*y**3 + 0 - 1/90*y**6 - 1/30*y**5 + 0*y**4 + 0*y**2 - 8*y. Factor r(w).
-w**3*(w + 2)/3
Find h, given that -4 + 48*h + 48*h + 7*h**2 - 84*h = 0.
-2, 2/7
What is o in -8*o**2 + 0*o - o**4 + 0*o + 2*o**3 + 7*o**2 = 0?
0, 1
Let b(f) be the third derivative of -f**6/300 + f**5/150 + f**4/60 - f**3/15 + 14*f**2. Find g such that b(g) = 0.
-1, 1
Factor r + 0 + 11*r**3 + 19/3*r**2 + 3*r**4.
r*(r + 3)*(3*r + 1)**2/3
Let n = -1 - -4. Factor 3*m**3 + 0*m + 5*m**2 + m**n - 4*m + 5*m.
m*(m + 1)*(4*m + 1)
Let l(r) be the first derivative of -r**4/14 - 16*r**3/21 - 13*r**2/7 - 12*r/7 - 19. Factor l(k).
-2*(k + 1)**2*(k + 6)/7
What is z in -1/9*z**3 - 19/9*z**2 - 80/9*z + 100/9 = 0?
-10, 1
Let h(d) be the third derivative of -d**8/5040 + d**7/720 + d**6/360 - 7*d**5/60 + 2*d**2. Let v(x) be the third derivative of h(x). Factor v(m).
-(m - 2)*(4*m + 1)
Let h(u) = u - 4. Let i be h(0). Let x = i - -6. Solve 5*b**x + 4*b - 6 + 2 - 6*b**2 = 0.
2
Let m(j) be the third derivative of j**6/360 - j**4/24 - 2*j**3/3 + j**2. Let v(n) be the first derivative of m(n). Let v(b) = 0. Calculate b.
-1, 1
Let k = -8 + 12. Let u(s) be the second derivative of 1/3*s**k - 1/5*s**5 + 1/3*s**3 - s**2 + 0 + 1/21*s**7 - 1/15*s**6 - 2*s. Find r such that u(r) = 0.
-1, 1
Factor -3/2*w**2 - 3*w - 3/2.
-3*(w + 1)**2/2
Let j be 69/(-8)*(-28)/231. Let p = j + -6/11. Factor p*d**2 + 0*d + 0 + d**3 + 1/2*d**4.
d**2*(d + 1)**2/2
Let b(r) be the third derivative of -2*r**5/15 + r**4/4 + r**3/3 - 8*r**2. Factor b(q).
-2*(q - 1)*(4*q + 1)
Let t be 2 + (-1 - (-1)/(-3)). Let b(f) be the first derivative of -1 - t*f**3 - 2*f**2 + 0*f + 3*f**4. Factor b(m).
2*m*(2*m + 1)*(3*m - 2)
Factor -197*w**5 - 120*w**3 - 53*w**5 + 300*w**4 + 23*w**2 - 58*w**2 + 51*w**2.
-2*w**2*(5*w - 2)**3
Let t(x) be the second derivative of x**6/180 - x**5/60 + x**4/72 + 3*x. Factor t(w).
w**2*(w - 1)**2/6
Let v(h) be the first derivative of 0*h + 3 + 7/48*h**6 + 0*h**3 + 0*h**2 - 1/8*h**4 + 3/10*h**5. Factor v(q).
q**3*(q + 2)*(7*q - 2)/8
Suppose -5 - 4 = 3*l. Let c be (l - (-44)/16)*-1. Suppose 1/4*n + 1/4 - 1/4*n**3 - c*n**2 = 0. Calculate n.
-1, 1
Let t = 95/14 + -46/7. Let n(o) be the first derivative of 1/21*o**6 + 0*o + 0*o**2 - 6/35*o**5 - 2/21*o**3 - 2 + t*o**4. What is q in n(q) = 0?
0, 1
Find d, given that -1/2*d**2 - 2 - 5/2*d = 0.
-4, -1
Let q = -592 - -598. Suppose 2/3*i**3 + q + 14/3*i**2 + 10*i = 0. Calculate i.
-3, -1
Let c(f) be the first derivative of -f**3 - 6*f**2 - 12*f + 5. Suppose c(p) = 0. Calculate p.
-2
Find s, given that -2*s**3 + 75*s**2 - s**4 + 0*s**3 + 2*s - 79*s**2 + 3 + 2*s**4 = 0.
-1, 1, 3
Let y be -2 - (-7 - (2 + -5)). Solve 2/5 - 2/5*h**y + 0*h = 0.
-1, 1
Let v(l) be the third derivative of -l**8/8960 + l**7/1120 - l**5/40 - l**4/24 - l**2. Let y(h) be the second derivative of v(h). Factor y(w).
-3*(w - 2)**2*(w + 1)/4
Let s = -21 + 58. Suppose -5*m + s = 7. Factor -m + 2 - 7*o**2 - 15*o - o.
-(o + 2)*(7*o + 2)
Let v(r) = -5*r**5 - r**4 - 8*r**2 - 13*r. Let q(o) = o**5 + 2*o**2 + 3*o. Let m(u) = 9*q(u) + 2*v(u). Suppose m(z) = 0. What is z?
-1, 0, 1
Suppose -3*c = -3 - 3. What is k in -2*k**3 + 0*k**2 + 3*k**c - 2*k**4 + 3*k - k**2 - k = 0?
-1, 0, 1
Suppose -1/2*f + 0 + 25/8*f**3 - 21/8*f**5 + f**4 - f**2 = 0. Calculate f.
-1, -2/7, 0, 2/3, 1
Let i(o) = -11*o - 14. Let y be i(-6). Factor -y*j**3 - 21*j**2 - 8*j - 16*j**2 - 23*j**2.
-4*j*(j + 1)*(13*j + 2)
Let j = -52 + 56. Let p(t) be the third derivative of 0*t**3 - 1/300*t**6 + 0*t**j + 0 + 0*t**5 + 2*t**2 + 0*t - 1/525*t**7. What is g in p(g) = 0?
-1, 0
Factor 5*b**4 - 5*b**3 - 5*b**2 + 6*b**2 - 6*b**2 + 5*b**5.
5*b**2*(b - 1)*(b + 1)**2
Let m be -4 - 14*(-2)/6. Factor -2/9*z + 10/9*z**3 + m*z**4 + 2/9*z**2 + 0.
2*z*(z + 1)**2*(3*z - 1)/9
Let n(m) be the second derivative of 0 + m**2 + 1/4*m**4 - 5/6*m**3 - 3*m. Factor n(c).
(c - 1)*(3*c - 2)
Let b(m) = m**3 - m**2 + m + 2. Let f be 0 + -1 + -5 + 6. Let c be b(f). Find k such that 5*k**4 - 3*k**2 + c*k**5 - 2*k - k**2 - k**4 = 0.
-1, 0, 1
Let y be -2*(-2)/(-8)*-8. Let d = -2 + y. Factor 2/9*o**4 - 2/9*o + 2/9*o**3 - 2/9*o**d + 0.
2*o*(o - 1)*(o + 1)**2/9
Let k(m) be the third derivative of -m**5/30 - m**4/3 - 4*m**3/3 + 5*m**2. Suppose k(j) = 0. Calculate j.
-2
Let q be 2/(-7) - 30/42. Let i(n) = n**3 + 2*n**2 + 2*n + 1. Let d be i(q). Factor -2/5*v**4 + 2/5*v**2 + 2/5*v**3 + d*v - 2/5*v**5 + 0.
-2*v**2*(v - 1)*(v + 1)**2/5
Let t(z) be the first derivative of z**5/210 + z**4/28 - z**2 - 1. Let f(i) be the second derivative of t(i). Factor f(c).
2*c*(c + 3)/7
Let j be (-6)/10 - (-47)/45. Let l(q) be the first derivative of 0*q**2 + 1 - 1/2*q**4 + 0*q - 2/15*q**5 - j*q**3. Find x, given that l(x) = 0.
-2, -1, 0
Let t be (45/(-60))/(66/(-16)). Let t*a**2 + 0*a + 0 = 0. Calculate a.
0
Let m(j) be the first derivative of j**6/24 + j**5/5 + 5*j**4/16 + j**3/6 + 10. Determine b, given that m(b) = 0.
-2, -1, 0
Let j(p) be the first derivative of -5*p**3/6 + 3*p**2/2 - p/2 + 18. Let j(i) = 0. What is i?
1/5, 1
Let q = -12 + 16. Suppose -2*k = 2*j + q, 0 = -3*j - 2*j - 20. Find y, given that -k*y + 2/3 - 2/3*y**3 + 2*y**2 = 0.
1
Let m(w) be the second derivative of -w**7/1260 + w**6/540 - w**3/3 + 2*w. Let k(u) be the second derivative of m(u). Factor k(v).
-2*v**2*(v - 1)/3
Let n be 7/5 - 7/(-21)*-3. What is p in n*p - 6/5*p**2 + 4/5 + 2/5*p**4 - 2/5*p**3 = 0?
-1, 1, 2
Factor -6*h + 11/4*h**2 - 9 - 1/4*h**3.
-(h - 6)**2*(h + 1)/4
Let y(g) be the first derivative of g**5/10 - 3*g**4/8 + g**3/3 - 11. Factor y(k).
k**2*(k - 2)*(k - 1)/2
Factor 0 + 0*v + 3/7*v**3 + 1/7*v**4 + 2/7*v**2.
v**2*(v + 1)*(v + 2)/7
Let c(w) be the third derivative of 0 + 1/135*w**6 + 2*w**2 + 0*w**3 + 1/54*w**5 + 1/945*w**7 + 1/54*w**4 + 0*w. Find o such that c(o) = 0.
-2, -1, 0
Let r(i) be the second derivative of -3*i**5/140 - 9*i**4/4 - 189*i**3/2 - 3969*i**2/2 - 23*i - 1. Let r(w) = 0. What is w?
-21
Let t be ((-2)/(-4))/(31/124). Factor 0 + 1/2*q**3 + q + 3/2*q**t.
q*(q + 1)*(q + 2)/2
Let m be 18/10 - (-63)/315. Suppose 1/3*n**m + 2/3 + n = 0. Calculate n.
-2, -1
Factor 0*w + 2/7*w**2 + 0 + 1/7*w**3.
w**2*(w + 2)/7
Let d(h) = -h**3 - 6*h**2 + 2*h + 13. Let v be d(-6). Solve -2 + r - 5*r**2 + 2*r**2 + v + 3*r = 0 for r.
1/3, 1
Determine t, given that -8 + 18*t**4 + 3*t**5 + 35*t**3 + 24*t**2 + 8 - 80*t**3 = 0.
-8, 0, 1
Let r(p) be the third derivative of p**5/330 - p**4/66 + p**3/33 - 8*p**2. Factor r(o).
2*(o - 1)**2/11
Let z(b) be the second derivative of -1/15*b**6 - 1/2*b**4 + 0 + 3/10*b**5 + 1/3*b**3 + 0*b**2 + b. Suppose z(f) = 0. Calculate f.
0, 1
Let f(k) = -k**2 - 7*k + 10. Suppose 56 = -5*j - 4*b, -3*b - 20 = 4*j - 6*b. Let m be f(j). Find g such that 10*g + 8*g**2 - 6*g**4 - 10*g - m*g**5 = 0.
-2, 0, 1
Let p be (-20)/150*10/(-1). Factor -8/3 - 4*g + 0*g**2 + p*g**3