 + n**2 = 0. Calculate n.
-1, 0, 1, 3
Suppose 3*z = -3 - 3. Let v = 15 - z. Suppose 0*m**4 + 3 + v*m**3 + 4*m**4 + 13*m - 24*m**2 - 8*m**4 - 5 = 0. What is m?
1/4, 1, 2
Suppose -1976*z + 18*z**2 + 1 + 3963*z - 1965*z + 3 = 0. Calculate z.
-1, -2/9
Suppose -113*r = 55 - 281. Let d(w) be the second derivative of 1/36*w**4 + 0 + 9*w - 1/6*w**3 + 1/3*w**r. Factor d(z).
(z - 2)*(z - 1)/3
Let a(v) be the third derivative of v**6/200 + 9*v**5/50 + 2*v**2 - 528*v - 1. Factor a(h).
3*h**2*(h + 18)/5
Let z(g) = -2*g**3 + 11*g**2 - 78*g + 123. Let y(b) = -11*b**3 + 65*b**2 - 467*b + 739. Let l(d) = 6*y(d) - 34*z(d). Suppose l(h) = 0. Calculate h.
-14, 3
Let l(r) = -4*r**2 - 42*r - 2. Let k be l(-11). Let p be (7/(-63))/(8/(8*k)). Factor p*i**2 + 62/3*i - 16/3.
2*(i + 8)*(4*i - 1)/3
Let d = 165699 - 165697. Suppose -3*t + 2 + 10 = 0. Suppose -20/3*i + 8/3 - t*i**d = 0. Calculate i.
-2, 1/3
Let h be 1*(-4)/8*4 - -4. Suppose x = -h*a + 6, 0 = x + 3*a - 4 - 4. Suppose 11*d**x - 2 + 13*d - 18*d - 4*d**2 = 0. What is d?
-2/7, 1
Suppose -4*s + 4*y = 780, s - 2*y + 205 = -3*y. Let x = s - -403/2. Factor 0 + 5/4*d**3 - 7/4*d**2 + 1/4*d**5 - x*d + 7/4*d**4.
d*(d - 1)*(d + 1)**2*(d + 6)/4
Let k(s) be the third derivative of 1/180*s**6 + 0*s + 0 + 1/36*s**4 + 42*s**2 + 1/45*s**5 + 0*s**3. Let k(z) = 0. What is z?
-1, 0
Let 1/3*f**2 + 4*f + 9 = 0. Calculate f.
-9, -3
Let a be (-70)/(-60)*2*(-13)/((-1092)/54). Solve -a*r**3 + 3*r - 9/4*r**2 + 3/4*r**4 + 3 = 0.
-1, 2
Factor -2739/2*r**2 - 761048497/2 + 2500707/2*r + 1/2*r**3.
(r - 913)**3/2
Suppose 7*i + 20*i = 189. Suppose -b**4 + 7*b**2 - b**2 + 5*b**2 + 0*b**4 - i*b**2 = 0. What is b?
-2, 0, 2
Let d = 858 - 853. Suppose -240 = -d*z - 215. What is i in 2/7*i**4 + 0 + 4/7*i - 2/7*i**z + 6/7*i**3 - 10/7*i**2 = 0?
-2, 0, 1
Suppose -2*q - 3 = -31. Suppose q*a = 2*a + 48. Factor c**3 + c**2 - 4*c**2 + c**a - c**3 - 2*c**3.
c**2*(c - 3)*(c + 1)
Determine j so that 2/7*j**4 + 8/7*j**3 - 72/7*j - 12/7*j**2 - 54/7 = 0.
-3, -1, 3
Suppose -4*v - 11 = -3*v - 4*j, 0 = 4*v - 3*j - 8. Suppose 10*t**3 - 2*t**5 + 28 - 5*t - 10*t**4 - 38 - 2*t**v - t**5 + 20*t**2 = 0. What is t?
-2, -1, 1
Let k(y) be the second derivative of -y**6/18 - 173*y**5/12 - 215*y**4/9 + 39*y - 32. Let k(u) = 0. Calculate u.
-172, -1, 0
Let d = 1302 - 1299. Suppose -4*o + 11 = -d*t, -2*t + 3*t + 1 = 0. Factor -3/7 - 3/7*c**o - 6/7*c.
-3*(c + 1)**2/7
Suppose 6*n - 56 - 4 = 0. Suppose -70 = -n*a + 5*a. Factor -11 + 2*r**2 - a + 10*r + 31 - 2*r.
2*(r + 1)*(r + 3)
Let a(s) be the second derivative of -14*s**6/15 + 22*s**5/5 + 40*s**4/3 - 128*s**3/3 + 734*s + 1. Suppose a(q) = 0. What is q?
-2, 0, 8/7, 4
Let r be 48/10 - (42/(-10) - -4). Suppose -6*h + 5*h + 12 - h**2 - 8*h + r*h = 0. Calculate h.
-6, 2
Let c(v) = v + 42 - 42 - v**2. Let a(s) = -s**3 + 6*s**2 - 3*s. Suppose 5*l - 5*t = -20, 2*t - 3 = 5*l + 2. Let u(o) = l*a(o) + 3*c(o). Factor u(x).
-x**2*(x - 3)
Let y(z) be the third derivative of -z**6/180 + z**5/30 + z**4 + 32*z**3/9 + 902*z**2 + 2*z. Let y(d) = 0. What is d?
-4, -1, 8
Let r = 742 - 740. Let p(c) be the second derivative of 1/20*c**5 - 2/9*c**3 + 1/10*c**6 + 0 - 12*c - 2/9*c**4 + 0*c**r. Suppose p(z) = 0. What is z?
-2/3, 0, 1
Let -38*a**2 + 931*a**3 + 0*a + 38 - 5*a - 933*a**3 + 7*a = 0. Calculate a.
-19, -1, 1
Let c(k) = -k**2 - 18*k - 77. Let j be c(-8). Factor -2*r**2 + 71*r**3 - 46*r**3 - 24*r**j + r.
r*(r - 1)**2
Let x = -655585/108 + 24281/4. Let g(q) be the second derivative of -10/9*q**2 - 3*q + x*q**4 + 1 - 1/3*q**3. Factor g(b).
2*(b - 10)*(b + 1)/9
Let y(a) = 8*a + 46. Let o be y(-5). Solve -8 + 4 + 40*r**2 - 8 - o + 51*r + 7*r**3 = 0 for r.
-3, 2/7
Let b be ((10 - 6)*3*(-39)/(-468))/(1*2). Find k such that -19/2 + b*k**2 - 9*k = 0.
-1, 19
Let y(u) be the third derivative of -u**6/840 - 11*u**5/420 + 15*u**4/56 + 27*u**3/2 - 3*u**2 + 474*u. What is q in y(q) = 0?
-9, 7
Let t = -35239/5 + 7097. Let n = t + -45. Factor 27/5*k**2 + 0 - n*k**3 - 6/5*k.
-3*k*(k - 1)*(7*k - 2)/5
Suppose -12396*d**2 - 3318*d**3 - 2*d**4 - 2769*d + 1272*d**3 - 2090*d**3 - 4130 - 13636*d + 4013*d = 0. Calculate d.
-2065, -1
Suppose 0 = -o + 2*d - 2, 120*d - 124*d - 2 = -5*o. Let b be 6/(-3) - (-64)/18. Determine c so that -32/9*c - b*c**4 + 32/9*c**3 + 8/9 + 2/3*c**o = 0.
-1, 2/7, 1, 2
Let n be -10*21/210 - (65/(-25) + 1). Suppose n*u - 9 + 9*u**2 - 3/5*u**3 = 0. Calculate u.
-1, 1, 15
Let o(l) be the first derivative of l**3/3 + 196*l**2 + 38416*l + 1509. Factor o(t).
(t + 196)**2
Let l = 470047/564078 + 3/94013. Factor l*q**4 + 20/3*q**2 + 0 + 0*q + 5*q**3.
5*q**2*(q + 2)*(q + 4)/6
Let n = -340039 + 3060355/9. Suppose -n*f**2 - 140/9*f - 136/9 = 0. Calculate f.
-34, -1
Let x(d) = 4*d**2 - 54*d - 58. Let r(h) = -16*h + 65 + 4 - 2*h**2 + 70*h - 13 + 0. Let j(m) = -3*r(m) - 2*x(m). Factor j(g).
-2*(g + 1)*(g + 26)
Let q be 7/7*((-12)/(-20))/((-99)/(-330)). Factor -72 - 1/2*g**q + 12*g.
-(g - 12)**2/2
Suppose -6*r = -0*r - 54. Suppose q = 3*n, -3*q + q - 3*n = -r. Determine c so that -c**4 - c + 3*c**3 - 7*c**2 + 2*c**2 + c**q + 3*c = 0.
0, 1, 2
Let z = -509256 - -4583326/9. Factor -z*t + 8/3*t**2 + 0 - 2/9*t**3.
-2*t*(t - 11)*(t - 1)/9
Suppose 58*r + 303 = 593. Let h(z) be the first derivative of -2/9*z**3 + 0*z**2 - 1/9*z**6 + 0*z - 1/2*z**4 - 2/5*z**r + 26. Factor h(l).
-2*l**2*(l + 1)**3/3
Factor -4*w**2 + 114*w + 7*w**2 + 65*w + 895 - 41*w + 449.
3*(w + 14)*(w + 32)
Let n = -95 - -99. Suppose -m = -1, n*m + 6 = 4*k + 2*m. Let -98/15*a**5 + 154/15*a**4 + 0 - 64/15*a**3 + 8/15*a**k + 0*a = 0. What is a?
0, 2/7, 1
Let u(y) be the first derivative of -2*y**5/45 - 32*y**4/9 - 2396*y**3/27 - 1856*y**2/3 - 1682*y + 1331. Determine m, given that u(m) = 0.
-29, -3
Suppose -2*n = 4*b - 240, 3 = 2*b - 5. Solve 15781 - 10*m**4 - 56*m - 66*m**2 - 22*m**4 + n*m**3 - 15789 = 0 for m.
-1/4, 2
Find z such that 117/2 - 111/4*z - 3/4*z**2 = 0.
-39, 2
Factor 137/4*f - 45/2 + 1/4*f**3 - 12*f**2.
(f - 45)*(f - 2)*(f - 1)/4
Let q(g) = 2*g**2 - 5*g + 7. Let z(f) = f**2 - 2*f + 3. Let o be (16/6)/((-8)/12). Let y be (16/12)/(o/(-42)). Let l(w) = y*z(w) - 6*q(w). Factor l(x).
2*x*(x + 1)
Suppose 4*g - 2*x + 3*x = 15, 3*g - 20 = -2*x. Solve -18/11*r**g - 2/11*r**3 - 48/11*r - 40/11 = 0 for r.
-5, -2
Let m(j) be the third derivative of j**7/735 + 88*j**6/105 + 15311*j**5/105 - 5192*j**4/7 + 10443*j**3/7 - 3*j**2 + 101. Factor m(c).
2*(c - 1)**2*(c + 177)**2/7
Factor 185/4 - 369/8*n - 1/8*n**2.
-(n - 1)*(n + 370)/8
Let h(q) be the second derivative of -q**6/15 + q**5/5 + 23*q**4/6 + 4*q**3 - 36*q**2 + 4*q - 154. Determine y, given that h(y) = 0.
-3, -2, 1, 6
Let d(f) be the second derivative of f**7/1050 + 3*f**6/200 + 9*f**5/100 + 9*f**4/40 + 44*f**2 - 85*f. Let j(l) be the first derivative of d(l). Factor j(p).
p*(p + 3)**3/5
Suppose 428 = 6*l - 490. Let z = l + -153. Factor -3/2*n + z*n**2 + 0 + 3/2*n**3.
3*n*(n - 1)*(n + 1)/2
Let t(m) be the first derivative of m**3 + 573*m**2/2 - 576*m - 1007. Factor t(p).
3*(p - 1)*(p + 192)
Let l(h) = h**2 - 7*h + 8. Let w(u) be the third derivative of 1/60*u**5 + 0*u - 27*u**2 + 4/3*u**3 + 0 - 1/4*u**4. Let i(m) = -3*l(m) + 2*w(m). Factor i(b).
-(b - 8)*(b - 1)
Let c(s) be the third derivative of 20*s**2 - 3/64*s**4 - 1/160*s**5 + 1/4*s**3 + s + 0. What is x in c(x) = 0?
-4, 1
Let j = -15094 - -15094. Let i(l) be the first derivative of j*l**3 + 1/21*l**6 + 0*l + 0*l**5 - 2/7*l**4 + 0*l**2 - 13. Suppose i(a) = 0. Calculate a.
-2, 0, 2
Suppose 452*d = -441*d + 877*d + 384. Let k(j) be the third derivative of 0*j - 1/3*j**4 - d*j**2 + 0 - 1/15*j**5 - 2/3*j**3. What is r in k(r) = 0?
-1
Let u be (23 + -3 + -1 + 1)*1550/12400. Solve -80/3*g - 10 + u*g**2 - 25/6*g**4 + 15*g**3 = 0.
-1, -2/5, 2, 3
Let p = 111 + -111. Suppose p = -0*n + n - 3. Determine l, given that 45*l**4 - 8*l**3 + 8*l**2 - 44*l**4 - 4*l + 3*l**n = 0.
0, 1, 2
Let v be ((-2)/(-6))/(8/96). Solve -17*y**2 + 5*y**v - 30*y**3 - 4*y**2 - 14*y**2 = 0.
-1, 0, 7
Let u(p) be the first derivative of -p**6/18 - 2*p**5/5 + p**4/4 + 20*p**3/9 + 2*p**2 - 1013. Determine w so that u(w) = 0.
-6, -1, 0, 2
Let r be 232/(-348)*1/((-4)/18). Find f, given that 488*f**2 - 258*f**2 - 24*f**r + 2 - 256*f**2 = 0.
-1, -1/3, 1/4
Let j = 79 - 77. Factor 4 - 13 + m + 73 + 15*m - m**3 - 4*m**j.
-(m - 4)*(