Solve v(x) = 0.
-1, 78
Let u(p) = p**2 + 4*p + 13. Let r be u(6). Let k = r - 218/3. Let -k*y**2 + 1/3 - 1/3*y**3 + 1/3*y = 0. Calculate y.
-1, 1
Let p(w) = -18*w**4 - 10*w**3 + 14*w**2 + 10*w - 36. Let f(v) = 2*v**4 + v**3 + v**2 + v. Let t(n) = -8*f(n) - p(n). Let t(y) = 0. What is y?
-3, -2, 1, 3
Let q(l) be the second derivative of -7/12*l**4 - 1/10*l**5 + 1/3*l**3 + 0 + 7/30*l**6 + 0*l**2 - 9*l. Let q(g) = 0. What is g?
-1, 0, 2/7, 1
Let l(f) be the second derivative of -3*f**4/16 - 7*f**3/12 + f**2 - 57*f - 2. Find o such that l(o) = 0.
-2, 4/9
Let v(t) be the third derivative of t**8/1680 - t**6/180 + t**4/24 - 7*t**3/6 + 8*t**2. Let a(b) be the first derivative of v(b). Factor a(g).
(g - 1)**2*(g + 1)**2
Let i(x) be the third derivative of 0*x + 0 - 1/630*x**7 - 1/72*x**4 + 0*x**3 - 1/60*x**5 - 30*x**2 - 1/120*x**6. Determine f, given that i(f) = 0.
-1, 0
Let u = -79 - -89. Let v(t) be the third derivative of 0 - 1/510*t**5 - u*t**2 + 0*t + 1/204*t**4 + 0*t**3. Determine i, given that v(i) = 0.
0, 1
Suppose -20 = -4*d - 5*l, -4*l = 3*d + l - 15. Let a(h) be the second derivative of 0*h**2 - 1/10*h**d - 1/6*h**4 + 0*h**3 - h + 0. Factor a(g).
-2*g**2*(g + 1)
Let a(h) = -5*h**2 - 12*h + 40. Let s(l) = -l. Let k(q) = -a(q) + 2*s(q). Suppose k(o) = 0. Calculate o.
-4, 2
Let z(g) be the third derivative of -g**8/10080 - g**7/840 + g**5/10 + 6*g**2. Let o(j) be the third derivative of z(j). Factor o(h).
-2*h*(h + 3)
Suppose -27*t**5 + 16*t**4 + 24*t**5 - 4*t**2 - 10*t**2 - 7*t**2 - t**2 - 11*t**3 + 8*t = 0. What is t?
-1, 0, 1/3, 2, 4
Let f be 1 - (-10)/((-25)/(-5)). What is q in -4*q**2 + q + q**f + q**3 + q = 0?
0, 1
Let t be (-3 - (-50)/18) + (-4)/(-18). Let x(u) be the first derivative of -3*u**2 + 2 + t*u + 2/3*u**3. Find y, given that x(y) = 0.
0, 3
Suppose 9 = 3*g, 3*q - 2*q - 5*g - 60 = 0. Let u = -73 + q. Factor 18/7*w**3 + 2/7*w**5 + 4/7*w - 10/7*w**4 - u*w**2 + 0.
2*w*(w - 2)*(w - 1)**3/7
Let s(i) be the first derivative of -i**6/720 + i**5/360 + i**4/72 + 3*i**2 - 9. Let m(c) be the second derivative of s(c). Factor m(a).
-a*(a - 2)*(a + 1)/6
Let r(b) = b**3 + b**2 + b. Suppose -3*u + 3*x = 21 - 9, -3*x = -u - 14. Let j(k) = k**2 - 5*k - 8. Let q(w) = u*j(w) + r(w). Suppose q(d) = 0. What is d?
-2, 2
Let y(n) = -90*n**4 - 250*n**3 - 125*n**2 + 40*n. Let z(b) = 135*b**4 + 375*b**3 + 187*b**2 - 60*b. Let p(u) = 7*y(u) + 5*z(u). Find h, given that p(h) = 0.
-2, -1, 0, 2/9
Let q(n) be the second derivative of -n**7/84 + 2*n**6/15 - 11*n**5/20 + n**4 - 3*n**3/4 - n - 9. Find d such that q(d) = 0.
0, 1, 3
Suppose 0 = -d + 2*d - 5. Let b = 1967/2628 + 1/657. Factor -3/4*v**d + 3*v**2 + 3*v**4 - b*v - 9/2*v**3 + 0.
-3*v*(v - 1)**4/4
Let m(a) be the second derivative of -a**7/1890 + a**5/540 + 17*a**2/2 - 7*a. Let o(h) be the first derivative of m(h). Factor o(g).
-g**2*(g - 1)*(g + 1)/9
Suppose -37 = -4*q - i - 4*i, q - 18 = -3*i. Suppose -h - 12 = q*h - 5*z, 22 = 5*h + 3*z. Factor 0 - 1/2*k**3 + 1/2*k**h + k.
-k*(k - 2)*(k + 1)/2
Let l(r) = -10*r**4 + 80*r**3 - 125*r**2 - 25. Let k(q) = -5*q**4 + 40*q**3 - 62*q**2 - 10. Let a(n) = -5*k(n) + 2*l(n). Solve a(b) = 0.
0, 2, 6
Let r(v) be the first derivative of 2*v**5/105 - v**4/21 - 2*v**3/63 + 2*v**2/21 + 43. Suppose r(t) = 0. Calculate t.
-1, 0, 1, 2
Let k(f) = -f**4 - f**3 + f**2 - 1. Suppose 0 = -2*h + 4*h - 8. Let g(n) = 4*n**5 + 8*n**4 - 8*n**2 + 4. Let c(z) = h*k(z) + g(z). Find y such that c(y) = 0.
-1, 0, 1
Factor 75/4*f**2 + 1089/4 + 561/4*f + 3/4*f**3.
3*(f + 3)*(f + 11)**2/4
Let c be 1350/(-800)*(-4)/6. Solve -39/8*l**3 - 5*l**2 - 3/2*l + 0 - c*l**4 = 0 for l.
-3, -2/3, 0
Factor 24/5*t**2 + 1922/15 - 248/5*t.
2*(6*t - 31)**2/15
Let c be (2 + -1)/(1/6). Let h(g) = 3*g**2 + 6*g + 11. Let j(y) = -12 - 4*y**2 + 2*y**2 - 2*y**2 - 6*y. Let s(l) = c*h(l) + 4*j(l). Factor s(m).
2*(m + 3)**2
Let o(l) be the second derivative of l**8/1176 + l**7/735 - l**6/420 - l**5/210 - 3*l**2 - 3*l. Let v(f) be the first derivative of o(f). Factor v(h).
2*h**2*(h - 1)*(h + 1)**2/7
Let q = -189/118 - -1511/354. Suppose 8/9*a**3 + q + 10/3*a**2 - 104/9*a = 0. What is a?
-6, 1/4, 2
Suppose x - 3 = 4. Suppose -4*y + x*y = 63. Factor y - 3 + 9*l + 2*l**2 + 4*l - l.
2*(l + 3)**2
Suppose p + 2*r - 5 = 1, -3*p - 6 = -2*r. Let a be (-33)/(-9) + p + (-1 - 2). Factor a + 0*c - 2/3*c**2.
-2*(c - 1)*(c + 1)/3
Let o(f) = f**3 - 4*f**2 - 23*f - 9. Let h(z) = -4*z**2 - 24*z - 8. Let s(a) = -3*h(a) + 4*o(a). Determine x, given that s(x) = 0.
-1, 3
Let s(n) be the first derivative of -n**6/720 + n**5/30 - n**4/3 - 5*n**3/3 - 9. Let l(h) be the third derivative of s(h). Determine w, given that l(w) = 0.
4
Let k be 79/3*4/10 - 1. Let j = -28/3 + k. What is o in -1/5*o**3 + j*o**2 - 1/5 + 1/5*o = 0?
-1, 1
Factor m**2 - 132 - 21*m + 113*m - 7*m**2 + 102.
-2*(m - 15)*(3*m - 1)
Let j = 358 - 356. Let t = 51 - 203/4. What is i in 1/4 + 1/2*i + t*i**j = 0?
-1
Let s(u) be the first derivative of u**4 + 2 + 3*u**2 + 5/2*u**3 + 3/20*u**5 - 4*u. Let y(c) be the first derivative of s(c). Factor y(z).
3*(z + 1)**2*(z + 2)
Factor -2/5*p**2 + 4/5 + 2/5*p.
-2*(p - 2)*(p + 1)/5
Let l = 4/181 - -2152/905. Let b(z) = 110*z + 554. Let j be b(-5). What is v in 13/5*v**3 + 0 + 1/5*v**5 + 4/5*v - l*v**2 - 6/5*v**j = 0?
0, 1, 2
Let c(k) be the third derivative of -k**8/1176 + k**7/735 + k**6/210 + 116*k**2. What is b in c(b) = 0?
-1, 0, 2
Let s(u) = -787*u**3 - 299*u**2 + 516*u + 24. Let q(f) = -785*f**3 - 300*f**2 + 515*f + 25. Let v(h) = 4*q(h) - 5*s(h). Factor v(z).
5*(z + 1)*(3*z - 2)*(53*z + 2)
Factor q - 21*q**2 + 24*q**2 + 176 + 35*q - 5*q**2.
-2*(q - 22)*(q + 4)
Let w = 102 + -100. Factor -11*m - m - w*m**3 + 0*m + 59*m**2 - 45*m**2.
-2*m*(m - 6)*(m - 1)
Factor -4/11*h**2 + 2 - 42/11*h.
-2*(h + 11)*(2*h - 1)/11
Find q, given that -695*q + 2*q**2 - q**4 - 4*q**4 - 50*q**3 + 545*q - 157*q**2 = 0.
-5, -3, -2, 0
Let s(p) = 2*p - 11. Let c be s(5). Let k be (-4)/(-1)*c*(-11)/22. Let 0 + d**4 - 1/2*d**5 + 0*d**3 + 1/2*d - d**k = 0. What is d?
-1, 0, 1
Let b(m) be the second derivative of -1/9*m**4 + 3*m + 1/60*m**5 + 0 + 2/45*m**6 + 0*m**2 - 1/18*m**3. Factor b(u).
u*(u - 1)*(u + 1)*(4*u + 1)/3
Let p(b) be the first derivative of 0*b**3 + 0*b**2 + 2 + 0*b + 0*b**5 - 1/15*b**6 + 1/10*b**4. Find v such that p(v) = 0.
-1, 0, 1
Let s(o) = -o**3 - 2*o**2 + o + 1. Let j(b) = 6*b**3 + 60*b**2 - 616*b + 1757. Let l(y) = -5*j(y) - 35*s(y). Solve l(v) = 0 for v.
4, 21
Let a(k) be the second derivative of k**6/15 - 7*k**5/10 + 5*k**4/2 - 13*k**3/3 + 4*k**2 - k + 249. Factor a(u).
2*(u - 4)*(u - 1)**3
Let 5*s**2 + 18 + 4 - 22*s**2 + 30 - 3*s**2 - 32*s = 0. Calculate s.
-13/5, 1
Factor 84*c + 37/3*c**3 - 1/3*c**4 - 358/3*c**2 + 216.
-(c - 18)**2*(c - 2)*(c + 1)/3
Let k(r) be the second derivative of r**7/6 + 8*r**6/5 + 99*r**5/20 + 41*r**4/6 + 4*r**3 + 469*r. Factor k(h).
h*(h + 1)**2*(h + 4)*(7*h + 6)
Suppose 4*b - 3 = 2*s - s, -5*b = 2*s - 7. Let g be 4/(-2) + s + 5. Factor 6*p**2 + 3*p**2 + 3*p**g - 6*p**3 - 3*p - 3*p**3.
3*p*(p - 1)**3
Suppose -5*f = 2*b - 32, -3*f + 23 = f - b. Let y(l) be the first derivative of -2 + 9/2*l**2 - l**3 - f*l. Suppose y(x) = 0. What is x?
1, 2
Let x = 139897/16655 + 1/3331. Factor -18/5*m**3 + 3/5*m**5 + 9/5 - 33/5*m + x*m**2 - 3/5*m**4.
3*(m - 1)**4*(m + 3)/5
Let n(v) be the first derivative of -v**5/60 + v**4/12 - v**3/6 - v**2/2 + 5. Let a(b) be the second derivative of n(b). What is i in a(i) = 0?
1
Suppose 2*q - 3*l = 3, 7*l - 4*l = -5*q - 24. Let b be q/(-6) - (-3)/(-12). Suppose -1/4*u**3 - 1/2*u**4 + 0*u + 0 - b*u**5 + 0*u**2 = 0. What is u?
-1, 0
Let x(s) = 2*s**2 - 23*s + 11. Suppose 0 = -12*f + 23*f - 121. Let a be x(f). Factor 0*t + 3/8*t**3 + a + 1/8*t**2.
t**2*(3*t + 1)/8
Let u(s) be the third derivative of s**5/360 - 35*s**4/36 + 1225*s**3/9 + 12*s**2 - s. Solve u(p) = 0 for p.
70
Let f(r) be the second derivative of -25*r**7/21 + 19*r**6/3 - 57*r**5/5 + 26*r**4/3 - 8*r**3/3 - 2*r + 213. Determine s, given that f(s) = 0.
0, 2/5, 1, 2
Suppose 2*h = -32 - 24. Let x = -25 - h. Determine i so that -4/11*i**2 + 2/11*i**4 + 0*i**x + 0*i + 2/11 = 0.
-1, 1
Let n(m) be the first derivative of 21 - 10/13*m**2 - 50/13*m - 2/39*m**3. Find s such that n(s) = 0.
-5
Let l(b) be the second derivative of -b**6/6 + 