 i(h) + 5*y(h). What is q in t(q) = 0?
-1/3, 0, 2
Let a(d) be the first derivative of 5*d**6/6 + d**5 - 10*d**4 - 20*d**3 + 138. Factor a(y).
5*y**2*(y - 3)*(y + 2)**2
Suppose -6 + 12*m + 82*m**2 - 80*m**2 + 22 = 0. What is m?
-4, -2
Let t(p) = -65*p - 45. Let x be t(-2). Let h be (x - 82) + (-1 - (-4)/(-26)). Let 12/13*i**4 + 2/13*i**5 + h*i**2 + 8/13*i + 2*i**3 + 0 = 0. What is i?
-2, -1, 0
Let w be 12*(51/12 - 3). Let h = -11 + w. Let -5*i - 3*i**2 - 2*i + h*i + i + i**4 = 0. What is i?
-1, 0, 2
Let d(g) be the first derivative of g**4/72 - g**3/9 + g**2/3 - 9*g - 1. Let c(i) be the first derivative of d(i). Let c(h) = 0. What is h?
2
Let q = -2010 + 2014. Determine j, given that 3/2*j + 3/2*j**5 - j**2 - 3*j**3 + 1/2 + 1/2*j**q = 0.
-1, -1/3, 1
Let w = 997/2100 + 29/300. Find j such that -4/7*j**2 + 0 - w*j = 0.
-1, 0
Let f(i) = -i**3 - i**2 - 2*i + 1. Let l(b) = 15*b**3 + 55*b**2 + 106*b + 31. Let s(p) = 18*f(p) + 2*l(p). What is k in s(k) = 0?
-5, -2, -2/3
Let f(u) be the first derivative of 4*u**3/9 - u**2/9 - 10*u/9 + 98. Factor f(a).
2*(a - 1)*(6*a + 5)/9
Let t(y) be the first derivative of -2/5*y**5 + 3/2*y**4 - 15*y**2 + 6 - 36*y + 14/3*y**3. Factor t(m).
-2*(m - 3)**2*(m + 1)*(m + 2)
Let q(y) be the first derivative of -1/6*y**4 + 1/40*y**5 - 5*y + 11 - 1/4*y**3 + 9/2*y**2. Let t(b) be the first derivative of q(b). Factor t(f).
(f - 3)**2*(f + 2)/2
Let b(q) be the third derivative of -q**8/2184 + q**6/260 + q**5/195 + 79*q**2 + 2*q. Solve b(k) = 0 for k.
-1, 0, 2
Factor 60*u**3 - 16*u**2 - 70 + 11*u**4 + 16*u + 27*u**2 + 85*u**2 + 22.
(u + 2)**3*(11*u - 6)
Let 44/3*r + 136/9 - 4/9*r**2 = 0. Calculate r.
-1, 34
Factor 0*x - 2/9*x**5 + 0*x**2 + 0*x**3 - 2/9*x**4 + 0.
-2*x**4*(x + 1)/9
Suppose -2*z = -4*c + 26, c + 0*z - 3 = 4*z. Suppose 4*q - 4*p = 20, -c*q - 5 = -11*q + p. Factor 0*a + q - 2/7*a**3 - 4/7*a**2.
-2*a**2*(a + 2)/7
Let 87*a - a**3 + 2 + 13*a**3 - 49*a - 48*a - 2*a**2 - 2*a**3 = 0. What is a?
-1, 1/5, 1
Let t = 57294/337757 + 22/2989. Let r = t - -1369/565. What is v in -r*v**4 + 4/5*v**3 + v**5 + 4/5*v**2 + 0 + 0*v = 0?
-2/5, 0, 1, 2
Let q be ((-8)/10)/((-1)/(-5)) - -5. Suppose 5*o = 3*f - q + 10, -3*f = -2*o. Factor -1/2*w**4 + 1/2*w**3 - 1/2*w + 3/2*w**f - 1.
-(w - 2)*(w - 1)*(w + 1)**2/2
Factor 25 - 5/4*t**2 - 5/4*t.
-5*(t - 4)*(t + 5)/4
Determine x so that -40 - 5*x**2 - 35*x - 6 - 6 - 8 = 0.
-4, -3
Let k(c) = -c + 2. Let v(g) = g**3 - 9*g**2 - 23*g - 46. Let m(p) = 22*k(p) + 2*v(p). Factor m(d).
2*(d - 12)*(d + 1)*(d + 2)
Let d be (-3144)/(-28)*(8/6)/1. Let z = 150 - d. Factor 2/7*p**2 + 0 + z*p.
2*p*(p + 1)/7
Let r(y) be the first derivative of 0*y**5 + 0*y**4 - 1/360*y**6 + 2 + 0*y**2 + 0*y + 1/3*y**3. Let u(q) be the third derivative of r(q). Factor u(o).
-o**2
Let z(j) = 48*j - 1920. Let g be z(40). Factor 0 - 1/2*r**2 + g*r**3 + 1/3*r + 1/6*r**4.
r*(r - 1)**2*(r + 2)/6
Let k(s) = -20*s**2 - 69*s - 43. Let j(b) = -30*b**2 - 104*b - 64. Let l(g) = 5*j(g) - 8*k(g). Factor l(o).
2*(o + 2)*(5*o + 6)
Let t(h) be the third derivative of -5/24*h**6 + 0*h + 0 + 0*h**3 + 7/12*h**5 + 1/42*h**7 - 5/8*h**4 + 2*h**2. What is o in t(o) = 0?
0, 1, 3
Factor 24/7*m + 2/7*m**3 - 15/7*m**2 - 11/7.
(m - 1)**2*(2*m - 11)/7
Determine h, given that -19/3 + 1/6*h**2 + 37/6*h = 0.
-38, 1
Suppose 5*k = 8 - 3. Let n = k - -1. Factor 2*o - o + 0*o - o**n + 2 - 2*o.
-(o - 1)*(o + 2)
Let y(d) = -25*d**2 - 23*d + 47 + 16 + 16 - 24 + 8*d**3. Let n(v) = 4*v**3 - 12*v**2 - 12*v + 28. Let c(i) = -9*n(i) + 4*y(i). Suppose c(w) = 0. Calculate w.
-2, 2
Let w(b) be the second derivative of -b**7/168 - b**6/6 - 29*b**5/16 - 235*b**4/24 - 175*b**3/6 - 49*b**2 + 79*b. Let w(g) = 0. Calculate g.
-7, -2
Let s(u) be the first derivative of -3*u**5/25 - 5*u**4/4 + 19*u**3/15 + 9*u**2/10 + 146. Factor s(a).
-a*(a - 1)*(a + 9)*(3*a + 1)/5
Suppose 0 = 3*y - 9, 2*n - y = 2*y - 1. Factor -9*q**3 - 4*q**2 + 6*q + 3*q**3 + q**4 + n*q**4 - 1.
(q - 1)**2*(q + 1)*(5*q - 1)
Let t(k) be the third derivative of -k**8/16800 - 11*k**7/6300 - k**6/75 + 3*k**5/25 - 3*k**4/4 - k**2. Let z(p) be the second derivative of t(p). Factor z(f).
-2*(f - 1)*(f + 6)**2/5
Let t(o) = -27*o**2 + 85*o - 13. Let n(b) = -14*b**2 + 42*b - 7. Let l(g) = 10*n(g) - 6*t(g). Suppose l(s) = 0. What is s?
1/11, 4
Let o(j) = -4*j + 12. Let z be o(-5). Factor -6*f**2 + z*f + 2*f**3 + 12*f**2 + 10*f**2.
2*f*(f + 4)**2
Let r(d) be the second derivative of -d**3/6 + 11*d**2/2 + 8*d. Let i be r(6). Factor -2 + 3*g**2 + 0*g**2 - i*g**4 + 2 + 7*g**3 - 7*g + 2.
-(g - 1)**2*(g + 1)*(5*g - 2)
Let u(f) = -f - 20. Let a be u(-24). Solve -19*d**3 - 12*d**a - 18188*d**5 + 54*d**2 - 4*d**3 + 18197*d**5 - 36*d + 8 = 0.
-2, 2/3, 1
Let q = 2 - -2. Factor 2*f**3 + 5*f**4 + 8*f**q + 4*f**3 + 2*f**4.
3*f**3*(5*f + 2)
Suppose 3 + 39 = 3*b. Let t(p) = -3 - 19*p**2 - 2*p + 21*p**2 - 3*p. Let s(v) = 10*v**2 - 24*v - 14. Let j(w) = b*t(w) - 3*s(w). Factor j(z).
-2*z*(z - 1)
Let o be 18/(-105)*(-20)/8. Let -6/7 + 3/7*d - 6/7*d**4 + 12/7*d**2 - 6/7*d**3 + o*d**5 = 0. Calculate d.
-1, 1, 2
Factor -39*q**4 - 50*q**4 + 12*q**3 - 33*q**4 + 100*q**4 + 6*q**5.
2*q**3*(q - 3)*(3*q - 2)
Let v(q) be the first derivative of -q + 6 + 4/9*q**3 - 1/18*q**4 - 4/3*q**2. Let f(o) be the first derivative of v(o). Find h, given that f(h) = 0.
2
Let c = 0 - -3. Factor 3*p**2 + 3*p - 9*p**2 + 14*p**c - 11*p**3.
3*p*(p - 1)**2
Let q(o) = -o**3 + 27*o**2 - 180*o + 2. Let y be q(15). Suppose 2*u - 1 = 3. Let 1 + u*m**3 + 1/2*m**5 - y*m**4 - 5/2*m + m**2 = 0. What is m?
-1, 1, 2
Let r(v) be the third derivative of -v**6/60 - v**5/5 - v**4 - 8*v**3/3 + 450*v**2. Let r(p) = 0. What is p?
-2
Suppose 17*x - 16*x + 35 = 0. Let v be (-4)/x - ((-18)/14 + 1). Factor 2/5 + v*y**2 - 4/5*y.
2*(y - 1)**2/5
Let p(o) be the second derivative of 7*o**6/15 - 13*o**5/2 + 41*o**4/2 + 145*o**3/3 - 50*o**2 + 10*o - 21. Determine m, given that p(m) = 0.
-1, 2/7, 5
Let l be (4 + (-45)/10)*-12. Determine r, given that l*r**2 - r**3 + 3*r**2 - 57*r + 49*r = 0.
0, 1, 8
Let b(m) be the second derivative of 1/160*m**5 + 15*m - 1/32*m**4 + 1/16*m**3 + 0 - 1/16*m**2. Find i, given that b(i) = 0.
1
Let t(b) = -6*b**4 + 24*b**3 + 28*b**2 + 20*b + 22. Let w(y) = -2*y**4 + 7*y**3 + 9*y**2 + 7*y + 7. Let l(r) = 3*t(r) - 10*w(r). Find p, given that l(p) = 0.
-1, 2
Suppose 4*a - 16 = 2*t, 0 = 4*t - a - 7 + 4. Let l(h) be the first derivative of 0*h - 1/15*h**3 + 1/20*h**4 - 1/10*h**t + 1/25*h**5 + 2. What is w in l(w) = 0?
-1, 0, 1
Let p(z) = -4*z**3 + 14*z**2 - 96*z + 180. Let s(u) = -11*u**3 + 43*u**2 - 288*u + 540. Let t(g) = 8*p(g) - 3*s(g). Factor t(m).
(m - 6)**2*(m - 5)
Let x(c) be the third derivative of 0 + 10/3*c**3 + 10/3*c**4 + 4*c + 7/12*c**5 - 3*c**2. Factor x(r).
5*(r + 2)*(7*r + 2)
Let c(p) = 10*p**4 - 10*p**3 - 8*p**2 + 54*p + 30. Let l(h) = 8 + 766*h**2 - 11*h**3 + 23 - 774*h**2 + 9*h**4 + 53*h. Let y(n) = 5*c(n) - 6*l(n). Factor y(j).
-4*(j - 3)**2*(j + 1)**2
Suppose 9/5 - 1/5*o**2 - 8/5*o = 0. Calculate o.
-9, 1
Let -196/5*v**3 + 196/5*v - 2*v**4 + 18*v**2 - 16 = 0. What is v?
-20, -1, 2/5, 1
Let t(y) be the second derivative of y**6/960 + y**5/320 - y**4/32 + y**3 - 13*y. Let c(q) be the second derivative of t(q). Suppose c(g) = 0. What is g?
-2, 1
Let h be (23 - 13)*(13/(-6))/(8/(-72)). Factor -280*r - 40*r**3 - 245/2 - h*r**2 - 5/2*r**4.
-5*(r + 1)**2*(r + 7)**2/2
Let c(t) be the second derivative of -t**4/12 + 7*t**3/2 + 23*t**2 - 21*t. Let p be c(23). Factor 0*z - 2/5*z**4 - 4/5*z**2 + p + 6/5*z**3.
-2*z**2*(z - 2)*(z - 1)/5
Let j(l) be the third derivative of 0*l - 1/120*l**6 + 1/15*l**5 + 0 - 5/24*l**4 - 27*l**2 + 1/3*l**3. Factor j(q).
-(q - 2)*(q - 1)**2
Let m(n) be the first derivative of 2*n**5/35 - n**4/7 + 2*n**2/7 - 2*n/7 + 60. Factor m(z).
2*(z - 1)**3*(z + 1)/7
Suppose -7*b + b = -12. Let o be b + (16/(-30))/((-2)/(-3)). Factor -o*r**3 + 0 - 2/5*r + 6/5*r**2 + 2/5*r**4.
2*r*(r - 1)**3/5
Let r(i) be the second derivative of i**7/70 + i**6/15 + i**5/15 + 5*i**2 + 4*i. Let u(p) be the first derivative of r(p). Factor u(j).
j**2*(j + 2)*(3*j + 2)
Suppose 2*t + 10 = 5*j, 0*j - 10 = -5*j - t. Let p(c) = -c**3 - 4*c**2 - 7*c - 25. Let l be p(-4). Factor -n**3 - 5*n**j - 8*n**3 - n**l + 5*n**4 + 10*n.
5*n*(n - 2)*(n - 1)*(n + 1)
Let d(j) = -6*j**4 - 65