 Suppose y(m) = 0. Calculate m.
-2, -1, 7
Let p be 1*(3/(-1) - -4) + 47. Let i be p/32 + 1/2 + -1. Determine g so that -1/2*g - 31/2*g**3 - 2*g**5 + 19/2*g**4 - i + 19/2*g**2 = 0.
-1/4, 1, 2
Solve 5/3*g**3 + 0 - 80/3*g**2 - 85/3*g = 0 for g.
-1, 0, 17
Let l = -26 + 86/3. Let i(p) be the first derivative of 2*p + 5/4*p**4 + 4 + 1/2*p**2 - l*p**3. Find k such that i(k) = 0.
-2/5, 1
Suppose -3*d - 18 = -3*z, 2*z - 5*d - 22 + 1 = 0. Let h**2 + 2*h**z + 2*h**4 - 5*h**2 - 4*h**3 = 0. Calculate h.
-1, 0, 2
Let l(v) = 13*v**2 + v - 1. Let w(n) = n**2 - n - 1. Suppose 7*b + 8 = -s + 2*b, 3*b = 4*s - 14. Let a(j) = s*l(j) - 22*w(j). Suppose a(f) = 0. Calculate f.
-5, -1
Let w(t) be the third derivative of -t**8/840 + t**6/60 + t**5/30 + 19*t**3/6 + 27*t**2. Let f(j) be the first derivative of w(j). Let f(b) = 0. What is b?
-1, 0, 2
Let v be 68/(-11) + 155/(-55) + 3. Let a be (-3)/1 + 7 - (-16)/v. Factor -16/3*q - a*q**2 - 16/3.
-4*(q + 2)**2/3
Let t(u) be the third derivative of 0*u**4 + 0*u**5 + 1/28*u**8 + 2/15*u**7 - 1/5*u**6 + 0 + 0*u + 0*u**3 + 22*u**2. Find y, given that t(y) = 0.
-3, 0, 2/3
Solve 0*k + 4/5*k**2 + 4/5*k**3 + 0 = 0.
-1, 0
Let f(w) = 7*w**3 - 13*w**2 - 31*w - 13. Let y(m) = m**3 - m**2 - m + 2. Let b(s) = -f(s) - 2*y(s). Factor b(q).
-3*(q - 3)*(q + 1)*(3*q + 1)
Let p be ((-5)/(-2))/(2/(-4)). Let d = p + 7. Factor 5*k**2 - 4*k**d - 5*k**2 - 3*k**3 + 5*k**3.
2*k**2*(k - 2)
Let w = 2845/12 - 237. Let l(o) be the first derivative of w*o**3 - 2 + 0*o - 1/4*o**2. Factor l(s).
s*(s - 2)/4
Let w = -4 - -6. Suppose -3*m - 30 = 5*j - 10*j, -4*j + 24 = -3*m. Factor -2/3*k**3 + m*k**4 + 1/3*k + 0 + 1/3*k**5 + 0*k**w.
k*(k - 1)**2*(k + 1)**2/3
Find q, given that 39/4 - 15/2*q**3 - 57/2*q - 3/4*q**4 + 27*q**2 = 0.
-13, 1
Let s = -50 - -81. Solve 10*n**3 + 18*n**5 - 8*n**2 + 42*n**3 - 6*n + s*n**4 + 41*n**4 = 0.
-3, -1, -1/3, 0, 1/3
Let f(d) be the third derivative of -d**8/1680 - d**7/525 + d**6/75 - d**5/150 - 7*d**4/120 + 2*d**3/15 - 315*d**2. What is r in f(r) = 0?
-4, -1, 1
Let h(u) be the first derivative of u**3 + 5*u**2/4 - u/2 + 342. Solve h(d) = 0 for d.
-1, 1/6
Suppose 8*f + 7 - 39 = 0. Let m(v) be the second derivative of 0*v**2 - 1/110*v**5 + 0 + 1/33*v**3 + 2*v - 1/66*v**f + 1/165*v**6. Factor m(l).
2*l*(l - 1)**2*(l + 1)/11
Let k(x) be the first derivative of 0*x + 0*x**3 - 18/85*x**5 + 5 - 1/17*x**4 - 7/51*x**6 + 0*x**2. Let k(b) = 0. What is b?
-1, -2/7, 0
Let r(z) be the first derivative of -z**3/4 + 6*z**2 - 189*z/4 + 341. Factor r(c).
-3*(c - 9)*(c - 7)/4
Suppose z + 4*r = 19, 4*z - r + 9 + 0 = 0. Let b be 57 - 1/(2 + z). Factor 95*l - 125*l**2 + b*l - 20 - 51*l.
-5*(5*l - 2)**2
Let g = -4/199 - -1409/796. Let u be -1 - ((-24)/(-36))/((-4)/18). Factor 3/4 - g*c + c**u.
(c - 1)*(4*c - 3)/4
Let p(q) be the second derivative of -q**4/4 + 13*q**3/2 - 2*q + 54. Let p(y) = 0. Calculate y.
0, 13
Let w(m) be the second derivative of 0*m**3 - 3/100*m**5 + 1/30*m**4 + 0 + 0*m**2 + 17*m. Find t, given that w(t) = 0.
0, 2/3
Let a(n) be the second derivative of -n**6/40 - 23*n**5/80 - 19*n**4/24 + 4*n**3/3 + 4*n**2 + 125*n. Find h, given that a(h) = 0.
-4, -2/3, 1
Factor -75 - 3010*t + 2890*t - 145 - 5*t**2.
-5*(t + 2)*(t + 22)
Let x(i) be the second derivative of -i**7/504 - 5*i**6/72 - 2*i**5/3 - i**4 - 12*i. Let o(b) be the third derivative of x(b). Suppose o(g) = 0. What is g?
-8, -2
Let q(z) = -15*z**4 - 9*z**3 - 21*z**2 - 9*z + 18. Let f(l) = -7*l**4 - 5*l**3 - 10*l**2 - 4*l + 8. Let t(s) = -9*f(s) + 4*q(s). What is k in t(k) = 0?
-2, -1, 0
Let q(c) be the third derivative of 0*c**3 + 1/360*c**5 + 0*c + c**2 + 1/48*c**4 + 0. Factor q(k).
k*(k + 3)/6
Let s = 1 + 4. Factor 5*y - 5*y**2 + s*y**2 - y**3 - 4*y.
-y*(y - 1)*(y + 1)
Let u(j) be the second derivative of -j**3/6 - 23*j**2/2 - 23*j. Let s be u(-23). Solve s*h - h**4 - 1/2*h**3 + 1/2*h**5 + h**2 + 0 = 0 for h.
-1, 0, 1, 2
Let m be 309/135*-23*6. Let x = m + 316. Factor 4/15*z**2 - 2/15 - 4/15*z**3 + x*z**5 + 2/15*z - 2/15*z**4.
2*(z - 1)**3*(z + 1)**2/15
Let u(y) = 2*y + 30. Let f be u(-7). Let o be f/40 - (-16)/60. Find c such that -o*c**5 - 50/3*c**2 - 8/3 - 32/3*c - 38/3*c**3 - 14/3*c**4 = 0.
-2, -1
Let c(m) be the first derivative of -m**6/12 + 5*m**4/8 - m**2 + 496. Solve c(b) = 0.
-2, -1, 0, 1, 2
Suppose -33*m = -37*m. Let q(g) be the first derivative of 0*g**4 + m*g + g**3 - 3/5*g**5 + 0*g**2 - 2. Factor q(o).
-3*o**2*(o - 1)*(o + 1)
Let w(f) be the first derivative of -f**5/30 + 7*f**4/18 - 5*f**3/3 + 3*f**2 + 18*f + 6. Let k(z) be the first derivative of w(z). Let k(l) = 0. What is l?
1, 3
Solve 6*c + 16/7*c**2 + 2/7*c**3 + 36/7 = 0.
-3, -2
Let h(k) = k**2 + 7*k - 4. Let y be h(-8). Let w(i) = -i**2 + 26*i - 46. Let j be w(24). Factor -p + y*p - 6*p**j - 3*p - 2*p**3 - 4*p.
-2*p*(p + 1)*(p + 2)
Let d be -5*2/4*102/(-180). Let q(h) be the second derivative of -1/6*h**6 + 2*h**2 + 0 - 6*h - d*h**4 - 9/10*h**5 + 0*h**3. Factor q(i).
-(i + 1)**2*(i + 2)*(5*i - 2)
Let i(j) be the third derivative of j**5/20 + 11*j**4/4 + 20*j**3 + 29*j**2 + 2. Find g such that i(g) = 0.
-20, -2
Find j such that 19 + 96*j**3 - 204*j**3 + 107*j**3 + 17*j**2 - 11*j + 48*j = 0.
-1, 19
Let v(f) be the third derivative of f**7/70 + 113*f**6/120 + 71*f**5/60 - 113*f**4/24 - 37*f**3/3 + 247*f**2. Suppose v(z) = 0. Calculate z.
-37, -1, -2/3, 1
Let k(q) be the first derivative of -5*q**4/22 + 12*q**3/11 + 8*q**2/11 + 138. Find c, given that k(c) = 0.
-2/5, 0, 4
Factor 223*u**2 + 450*u - 46*u**2 + 46*u**3 + 3*u**4 + 63*u**2 + 125.
(u + 5)**3*(3*u + 1)
What is j in -55*j**2 - 83 + 4*j**3 - 14*j**3 - 95*j + 38 + 5*j**3 = 0?
-9, -1
Let u(m) = 2*m**2 - 14*m - 10. Let j(d) = -1. Let p(y) = 10*j(y) - u(y). Factor p(b).
-2*b*(b - 7)
Let r = 2238 + -2235. Let h = -18/19 + 207/38. Determine z, given that r*z + 1/2*z**2 + h = 0.
-3
Let s(l) = -8*l**4 + 8*l**3 + 4*l + 4. Let w(x) = -x**4 + x**2 + x + 1. Suppose p - 10 = -6. Let z(q) = p*w(q) - s(q). Factor z(y).
4*y**2*(y - 1)**2
Suppose -147*u + 4 - 4 = 0. Factor 8/5*x - 2/5*x**2 + u.
-2*x*(x - 4)/5
Solve 22/5*z**2 - 14 + 46/5*z + 2/5*z**3 = 0 for z.
-7, -5, 1
Let k(c) = c**2 + 18*c + 18. Let u be k(-17). Let i be 132/33 + u*-4. Determine g so that 0*g**4 - 2/3*g**5 + i - 2/3*g + 0*g**2 + 4/3*g**3 = 0.
-1, 0, 1
Let u be 10/(1/(-6)*-4). Suppose -o = 5, s - 3*o - u = -4*s. Let 4/11*z**2 + s + 2/11*z**3 + 0*z = 0. Calculate z.
-2, 0
Let c(t) = -t**3 + 4*t**2 + 7*t - 1. Let a(s) be the first derivative of 0*s**3 + 3 + 1/4*s**4 + 1/2*s**2 + s. Let f(r) = 3*a(r) - c(r). Factor f(j).
4*(j - 1)**2*(j + 1)
Let v(y) be the third derivative of -y**7/42 - y**6/12 + y**5/3 + 5*y**4/3 + 4*y**2 + 25*y. Factor v(q).
-5*q*(q - 2)*(q + 2)**2
Let u = 48 - 40. Find j such that -12*j**2 + j**4 + 33*j**2 + u*j**3 + 9*j + 9*j = 0.
-3, -2, 0
Let c(s) be the first derivative of s**9/3024 - s**8/560 + s**7/280 - s**6/360 + s**3 + 5. Let g(x) be the third derivative of c(x). Factor g(r).
r**2*(r - 1)**3
Suppose 5*q + 4*c + 157 = 687, -4*q + 4*c + 460 = 0. Solve 2 - 2*s**2 - q*s**3 + 111*s**3 - 4*s + 6 = 0.
-2, 2
Suppose -3*z = -5*k + 22, -5*k - 3*z - 2*z - 10 = 0. Factor 632*p**2 - 632*p**k + 5*p**3 - 5*p.
5*p*(p - 1)*(p + 1)
Let f(d) be the first derivative of 2*d**3/3 + 6*d**2 + 16*d - 5. Factor f(l).
2*(l + 2)*(l + 4)
Determine h, given that 8*h**4 - 5*h**4 - 3*h + 12 - 6*h**3 + 17*h - 2*h - 9*h**2 = 0.
-1, 2
Let l(g) = g**2 - g - 1. Suppose -4*b + r = -6, 4*r = 5*b - 5 - 8. Let i(c) = -2*c**2 - 8*c + 14. Let v(u) = b*i(u) + 4*l(u). Find a such that v(a) = 0.
1, 5
Factor -412*k**2 + 5*k**4 - 8*k**3 + 416*k**2 - 4*k**4 + 4*k**4 - k**5.
-k**2*(k - 2)**2*(k - 1)
Let r = 673 + -33649/50. Let i(s) be the second derivative of 0*s**2 + 3/100*s**5 - 1/20*s**4 + 4*s + 0 - 1/10*s**3 + r*s**6. Find f, given that i(f) = 0.
-1, 0, 1
Let n(f) = 12*f**4 + 27*f**3 + 11*f**2 + 5*f. Let i(z) = -z**3 - z**2 + z. Let l(v) = -5*i(v) + n(v). Factor l(h).
4*h**2*(h + 2)*(3*h + 2)
Factor 2350 + 3682*t**4 - 63*t**3 - 3685*t**4 - 189*t - 375*t**2 + 80.
-3*(t - 2)*(t + 5)*(t + 9)**2
Let h = 18401/11037 - 2/3679. Let l(i) be the second derivative of 1/5*i**5 + 9*i + 8*i**2 + 16/3*i**3 + 0 + h*i**4. Factor l(y).
4*(y + 1)*(y + 2)**2
Let h = 5711/2286 - -2/1143. Factor -15/2*g**3 - h*g**2 + 0 + 0*g + 10*g**4.