 = 0. Calculate p.
-24, 0, 1/4, 2
Let w = -400 - -402. Let a(z) be the second derivative of 2/9*z**3 + 1/18*z**4 + 0 + 3*z + 1/3*z**w. Factor a(o).
2*(o + 1)**2/3
Suppose -27 = -4*q + 33. Let k = q - 12. Factor k*r - 9/2 - 1/2*r**2.
-(r - 3)**2/2
Factor -8/5*a**2 + 2/5*a**3 + 12/5 + 2/5*a.
2*(a - 3)*(a - 2)*(a + 1)/5
Let m(v) be the first derivative of v**4/2 - 26*v**3/3 - v**2 + 26*v + 294. Suppose m(c) = 0. Calculate c.
-1, 1, 13
Let r(a) be the third derivative of 0 + 0*a**4 + 12*a**2 - 2/105*a**7 + 0*a + 0*a**3 + 0*a**5 - 1/30*a**6. What is w in r(w) = 0?
-1, 0
Suppose -8*s - 191 = -207. Let n(w) be the second derivative of 6*w - 1/2*w**3 - 1/12*w**4 + 0 - w**s. Factor n(q).
-(q + 1)*(q + 2)
Let v(h) = -4*h - 1. Let c be v(-1). Factor 45*x - 49*x - 2*x**2 + 2*x**c + 0*x**2.
2*x*(x - 2)*(x + 1)
Suppose 2*z - 7*a - 1 = -2*a, -3 = -3*a. Let c(v) be the third derivative of 0*v**3 + 1/36*v**4 + 0 - 1/180*v**5 - z*v**2 + 0*v. Let c(n) = 0. Calculate n.
0, 2
Let o(t) = -23*t**3 - 15*t**2 + 8*t - 8. Let f(n) = 8*n**3 - 7 + 0 + 10 - 3*n + 5*n**2. Let a(p) = 8*f(p) + 3*o(p). Factor a(w).
-5*w**2*(w + 1)
Let v(z) = -25*z**2 + 143*z - 51. Let l(i) = -88*i**2 + 500*i - 178. Let o(s) = -5*l(s) + 18*v(s). Find g such that o(g) = 0.
2/5, 7
Suppose 7/2*r**2 + 2 - 8*r = 0. What is r?
2/7, 2
Let a(q) be the first derivative of -q**4/5 + 68*q**3/15 - 32*q**2/5 + 224. Factor a(o).
-4*o*(o - 16)*(o - 1)/5
Let b(c) be the second derivative of -c**5/5 - 35*c**4/3 - 646*c**3/3 - 578*c**2 + 363*c. Solve b(x) = 0 for x.
-17, -1
Let d be (-10)/(-3)*(-405)/(-675). Solve -2/5*c**d + 24/5*c - 72/5 = 0.
6
Let -12*g**3 + 35*g + 21 + 22 - 9*g**2 + 13*g - 7 = 0. Calculate g.
-2, -3/4, 2
Let r = 113 - 335/3. Let a(v) be the first derivative of -9/2*v**4 - r*v**3 - 14/5*v**5 + 0*v**2 + 0*v + 1. Factor a(p).
-2*p**2*(p + 1)*(7*p + 2)
Suppose -w - 3*w = 3*a + 41, -3*w + a - 21 = 0. Let u = w + 20. What is n in -3*n**5 + 12*n**4 - u*n**3 - 2 + 0*n**5 - 6*n**2 - 4 + 15*n + 0*n**5 = 0?
-1, 1, 2
Suppose 476 = 7*u + 448. Factor 1/5*k**u - 3/5*k**2 + 2/5 + 1/5*k**3 - 1/5*k.
(k - 1)**2*(k + 1)*(k + 2)/5
Let w(f) be the second derivative of f**6/105 + f**5/14 + 4*f**4/21 + 4*f**3/21 - 134*f. Solve w(i) = 0 for i.
-2, -1, 0
Let a(z) be the second derivative of z**5/10 - 5*z**4/34 - 2*z**3/51 + 139*z - 2. Factor a(w).
2*w*(w - 1)*(17*w + 2)/17
Let q(a) be the first derivative of 3*a + 2*a**3 + 30 + 9/2*a**2. Let q(l) = 0. Calculate l.
-1, -1/2
Let f(p) be the first derivative of p**6/40 + 3*p**5/20 - 9*p**4/8 + 5*p**3/2 + 10*p**2 - 6. Let o(u) be the second derivative of f(u). Factor o(m).
3*(m - 1)**2*(m + 5)
Let p = 27 + -25. Factor r**3 - 2*r**4 - 23*r - 8*r**p - 2*r**4 + 7*r**4 + 27*r.
r*(r - 1)*(r + 2)*(3*r - 2)
Let v(l) be the second derivative of l**7/735 - l**5/70 - l**4/42 + 47*l**2/2 + 3*l - 1. Let a(r) be the first derivative of v(r). Suppose a(f) = 0. What is f?
-1, 0, 2
Factor -1684*a - 4*a**5 - 366*a - 1406*a - 84*a**4 - 222*a**3 - 2304*a**2 - 1728 - 434*a**3.
-4*(a + 1)*(a + 2)*(a + 6)**3
Let v(k) be the first derivative of k**4/40 - k**3/30 - k**2/10 + 17. Determine d so that v(d) = 0.
-1, 0, 2
Let c(u) be the first derivative of u**6/27 - 2*u**5/5 + 13*u**4/9 - 68*u**3/27 + 7*u**2/3 - 10*u/9 - 73. Let c(f) = 0. Calculate f.
1, 5
Find o, given that -15*o + 289*o**3 + 18 - 577*o**3 + 287*o**3 + 20*o**2 - 22*o = 0.
1, 18
Suppose -3*t + 4*j = 2*j - 20, 4*t + 4 = -5*j. Let -4*m**t - 4*m**3 - 11009 + 11009 = 0. Calculate m.
-1, 0
Let l = 98 - 98. Suppose l = -5*c - 101 + 126. Solve -8*s**2 - 69/7*s + 18/7*s**4 - 18/7 + 18/7*s**3 - 5/7*s**c = 0 for s.
-1, -2/5, 3
Solve -222/7*a + 0 - 339/7*a**2 - 3/7*a**4 - 120/7*a**3 = 0 for a.
-37, -2, -1, 0
Suppose 3*u - 7 = 11. Suppose -q + u = q. Suppose -4*b**5 + 48*b**3 - 21*b**3 - 23*b**q - 4*b**4 + 4*b**2 = 0. Calculate b.
-1, 0, 1
Factor -4/3*f**2 - 37636/3 + 776/3*f.
-4*(f - 97)**2/3
Let j(q) be the third derivative of 16*q**8/21 + 736*q**7/105 + 481*q**6/30 + 118*q**5/15 - 55*q**4/6 + 8*q**3/3 + 136*q**2. Determine s so that j(s) = 0.
-4, -1, 1/8
Suppose -2*f + 0*f = 140. Let g = f - -70. Determine w, given that g - 11/5*w**2 + 16/5*w**3 - 7/5*w**4 + 2/5*w = 0.
0, 2/7, 1
Let p be 4*(-25 - -6)/(-228). Factor p*b - 1/3*b**4 - b**2 + 0 + b**3.
-b*(b - 1)**3/3
Solve -181516/9*i**2 - 1936/9 - 32296/9*i - 60016/9*i**4 - 2662/9*i**5 - 354310/9*i**3 = 0.
-11, -2/11
Let f = 8 + -7. Let u(c) = 3*c**2 + 2*c - 1. Let n be u(f). Factor -139*i**3 - 95*i**4 - 97*i**2 - 28*i - n*i - 26*i**5 + i**5 - 4.
-(i + 1)**3*(5*i + 2)**2
Let d(r) be the second derivative of -1/140*r**5 - 5/14*r**2 - 1/28*r**4 + 0 + 3/14*r**3 - 8*r. Find i, given that d(i) = 0.
-5, 1
Let o be (-1)/(-4) - (-313)/828. Let z = -5/69 + o. Factor 0 - 2/9*h - z*h**3 + 7/9*h**2.
-h*(h - 1)*(5*h - 2)/9
Suppose n - 4*z = 0, 2*z = 5*n - 11 - 7. Factor n*u**2 - 10 - 4*u**3 + 30 - 20.
-4*u**2*(u - 1)
Suppose -6*j + 11*j = 35. Let p be j/2 - (0/(-2) - -2). Factor 9/4*h**3 - p*h**2 + 0 + 1/4*h.
h*(3*h - 1)**2/4
Let d(q) be the second derivative of -14*q**6/15 - 37*q**5/20 + 7*q**4/12 + 13*q**3/6 - 3*q**2/2 - 17*q. Determine h so that d(h) = 0.
-1, 1/4, 3/7
Let h(r) = -10*r - 27. Let v = -76 + 73. Let m be h(v). Factor -9/4*p**2 + 3 - 3*p + 3/4*p**4 + 3/2*p**m.
3*(p - 1)**2*(p + 2)**2/4
Suppose -v + 5 = -w + 1, -v + 4 = 3*w. Let b(j) be the second derivative of -1/3*j**3 + w*j**4 + 0 - 4*j + 1/30*j**5 + 2/3*j**2. Let b(l) = 0. Calculate l.
-2, 1
Let g(b) = 80*b - 798. Let o be g(10). Let d(w) be the first derivative of 8 - 11/20*w**4 - 2/5*w - 7/10*w**o + 4/3*w**3. Find i such that d(i) = 0.
-2/11, 1
Let r be 630/15*1 + -3 + (-21)/(-9). Let r*t**2 - 136*t + 48 - 10/3*t**3 = 0. What is t?
2/5, 6
Let v = -19 + 27. Suppose -3*u = u - v. Find s such that 0*s**3 - u*s**2 + 4*s**3 - 3*s**3 = 0.
0, 2
Let c be -8 + -5 + 204/15. Let l(p) be the first derivative of -1/5*p**3 + 0*p - 3/20*p**4 + c*p**2 + 1. Factor l(x).
-3*x*(x - 1)*(x + 2)/5
Solve 4*d**4 - 626*d**2 + 41*d**4 - 18*d**3 - 6*d**5 + 298*d**2 + 307*d**2 = 0 for d.
-1/2, 0, 1, 7
Let l(q) be the second derivative of -q**6/270 + q**5/45 - q**4/27 - 122*q. Factor l(w).
-w**2*(w - 2)**2/9
Let y(g) be the first derivative of g**6/150 - g**4/12 + 2*g**2/5 + 32*g + 20. Let s(p) be the first derivative of y(p). Determine x, given that s(x) = 0.
-2, -1, 1, 2
Let b be 3*(-125*(-20)/12 - -2). Solve 4*l**3 - b*l**4 + 631*l**4 - 2*l**5 - 2*l + 0*l = 0.
-1, 0, 1
Suppose 11*x = 59*x - 96. Find g such that -15/4*g**3 - 41*g + 161/2*g**x + 125/4*g**5 + 6 - 100*g**4 = 0.
-1, 2/5, 3
Factor 48*u**3 + 57 + 126*u**2 - 11*u + 131*u + 3*u**4 - 18.
3*(u + 1)**3*(u + 13)
Let j be (-68)/102 - (-11)/3. Let n(z) be the second derivative of 0*z**2 + 3*z + 0*z**j + 1/35*z**6 + 3/140*z**5 + 0 - 1/28*z**4. Suppose n(s) = 0. What is s?
-1, 0, 1/2
Let l = 75 + -71. Let d(b) be the second derivative of 0 + 1/12*b**4 + 9/2*b**2 + b**3 + l*b. Suppose d(c) = 0. Calculate c.
-3
Let -110*r**2 - 3*r**3 + 12*r - 97*r**2 - 3*r**4 + 219*r**2 = 0. What is r?
-2, -1, 0, 2
Find d such that 47/4*d**2 + 12*d - 1/4*d**3 + 0 = 0.
-1, 0, 48
Suppose 0 - 12 = -3*l, -2*k = -l - 30. Suppose 11 - k = -2*p. Factor -5*q**3 + 1 + p*q**2 - q - 2*q + 2*q**3 + 2*q**3.
-(q - 1)**3
Let a(z) be the third derivative of -1/70*z**7 - 1/2*z**3 + 0 + 0*z**6 + 1/10*z**5 + 0*z**4 + 5*z**2 + 0*z. Factor a(o).
-3*(o - 1)**2*(o + 1)**2
Let s(w) = -w**3 - 4*w**2 - 3*w. Suppose 1 = -5*n - 14. Let f be s(n). Factor -2 - 5*x**2 - 9*x**3 + f*x**2 + 3*x**4 + 4*x**4 + 9*x.
(x - 1)**2*(x + 1)*(7*x - 2)
Let d be 5*(140/(-450))/(-14). Factor 0 + 0*w - d*w**2 - 1/9*w**3.
-w**2*(w + 1)/9
Let w(g) be the first derivative of g**4/2 - 8*g**3/9 - g**2/3 + 4*g/3 - 51. Factor w(y).
2*(y - 1)**2*(3*y + 2)/3
Let d(u) = -u**5 + u**3 + u**2 + u. Let p(h) = -14*h**5 - 12*h**4 + 6*h**3 + 22*h**2 + 18*h. Let c(w) = 10*d(w) - p(w). Factor c(q).
4*q*(q - 1)*(q + 1)**2*(q + 2)
Let o = -880 + 880. What is k in o + 4/7*k**2 - 2/7*k**3 + 6/7*k = 0?
-1, 0, 3
Solve 17/4*n**2 - 7/4 + 3*n**3 - 1/2*n = 0 for n.
-1, 7/12
Suppose -5*p = -39*d + 38*d - 14, -18 = 3*p - 5*d. Solve -2/5*m**5 - 8/5*m**p + 4/5 - 8/5*m**3 + 2*m + 4/5*m**2 = 0.
-2, -1, 1
Let d(c) be the second derivative of 1/90*c**5 + 0 - 7/72*c**4 - 1/9*c**3 + 7/360*c**6 - 3/2*c**2 - 4*c