pose i(d) = 0. What is d?
-2, 0, 1
Let j(r) be the second derivative of -2/13*r**2 - 1/39*r**3 + 5*r + 0 + 1/78*r**4. Factor j(n).
2*(n - 2)*(n + 1)/13
Factor 16 + 2*a**3 - 16*a**2 - 3*a**3 + 2*a**3 + 3*a**3 + 10*a - 14*a.
4*(a - 4)*(a - 1)*(a + 1)
Suppose -p + 17 = 4*p + 3*t, 2*p - 3*t = 11. Solve -2*n - 470*n**5 + 468*n**5 - 8*n**2 + 0*n**4 + p*n**4 + 4*n**3 - 2 + 6 = 0.
-1, 1, 2
Let l(m) = 3*m + 21. Let p be l(-6). Find k, given that -9*k**3 - p*k**5 - 5*k**2 - 9*k**4 - 5*k**2 + 7*k**2 = 0.
-1, 0
Find s such that -3813248/3*s + 4/3*s**4 + 30752*s**2 - 992/3*s**3 + 59105344/3 = 0.
62
Let x(r) be the third derivative of r**7/1260 + r**6/270 + r**5/180 - 5*r**3/3 + 16*r**2. Let w(s) be the first derivative of x(s). Find i, given that w(i) = 0.
-1, 0
Let g = 1210 - 1210. Let d(b) be the third derivative of 2/195*b**6 + 0*b + 1/390*b**5 + 8*b**2 + g + 16/1365*b**7 + 0*b**4 + 0*b**3. Factor d(o).
2*o**2*(4*o + 1)**2/13
Let z(u) be the third derivative of -u**7/10080 - u**6/2880 + 7*u**4/24 - 21*u**2. Let g(s) be the second derivative of z(s). What is k in g(k) = 0?
-1, 0
Factor -13/2 - 11/2*z**2 + 25/2*z - 1/2*z**3.
-(z - 1)**2*(z + 13)/2
Let m(v) = -13*v**3 + 50*v**2 + 221*v + 3. Let g(w) = -34*w**3 + 148*w**2 + 664*w + 8. Let u(q) = -3*g(q) + 8*m(q). Factor u(c).
-2*c*(c + 8)*(c + 14)
Let j(t) = t**4 - 24*t**3 - 30*t**2 + 47*t - 3. Let i(r) = 2*r**4 - 49*r**3 - 62*r**2 + 95*r - 7. Let o(s) = -3*i(s) + 7*j(s). Factor o(h).
h*(h - 22)*(h - 1)*(h + 2)
Suppose 5*b + r - 75 = -2*r, 4*b + 2*r - 58 = 0. Factor b*m**2 - 3*m**3 + 14*m**2 - m**2 - 4*m**2.
-3*m**2*(m - 7)
Suppose -8 = 2*m, 4*t + 22 = 5*t - 5*m. Let r be (-5)/t*16/(-20). Determine y, given that -23*y + 18*y + 17*y**2 + 53*y + 4*y**3 + 7*y**r + 32 = 0.
-2
Let l(i) = 16*i**2 + 71*i + 28. Let b be l(-4). Factor b*p - 2/5*p**5 - 2*p**3 - 17/10*p**4 - 2/5*p**2 + 0.
-p**2*(p + 2)**2*(4*p + 1)/10
Factor -3/4*t + 0*t**3 + 1/8*t**4 + 0 - 7/8*t**2.
t*(t - 3)*(t + 1)*(t + 2)/8
Suppose 3*m - s = 8, -5*m - 11*s = -15*s - 4. Let r = 82/435 + 1/87. Factor 2/5*u**2 + r*u**5 + 3/5*u + 0*u**m - 2/5 - 4/5*u**3.
(u - 1)**3*(u + 1)*(u + 2)/5
Let x(k) be the second derivative of -3*k + 1/54*k**4 + 0 + 1/45*k**5 - 2/27*k**3 - 1/9*k**2. Find p such that x(p) = 0.
-1, -1/2, 1
Let o(u) be the second derivative of -u**7/336 - u**6/60 + u**5/32 - 3*u + 1. Factor o(t).
-t**3*(t - 1)*(t + 5)/8
Let k(q) be the first derivative of -q**6/24 + 7*q**5/20 - 3*q**4/8 - 452. Factor k(l).
-l**3*(l - 6)*(l - 1)/4
Let a = -82 - -99. Solve -25*w**2 - 54*w + 169 + 11*w**2 + a*w**2 + 74 = 0 for w.
9
Let g(l) be the first derivative of -l**3 - 51*l**2 - 785. Factor g(j).
-3*j*(j + 34)
Let s(l) be the second derivative of l**7/210 - 3*l**5/100 + l**4/30 + 447*l. Determine o so that s(o) = 0.
-2, 0, 1
Let v be (4/(-6))/((-2)/(-419)). Let s = -139 - v. Factor 0*t + 2/3*t**2 - s.
2*(t - 1)*(t + 1)/3
Let i be 1084/12 + (-4)/(-6). Let o = -88 + i. Determine k so that 4/11*k**2 - 6/11*k**o - 4/11 + 6/11*k = 0.
-1, 2/3, 1
Suppose i - 5 = 3. Suppose 0 = 4*o - 5*m - 0 + i, -o + 15 = 3*m. Find j such that 10*j**2 + 2*j**4 - j**4 + j**o - 10*j**2 = 0.
-1, 0
Let h(s) = s**2 + 2. Let r be (8 + -4)/4 + 1. Let f be h(r). Determine p so that 7 - 11 - f*p - p**2 - p**2 = 0.
-2, -1
Let p(n) = -6*n**3 - 72*n**2 + 156*n - 78. Let t(v) = v**3 - v**2 + v - 1. Let k(u) = -p(u) - 3*t(u). Find r such that k(r) = 0.
-27, 1
Let j = -91 + 57. Let x be j/((-8)/18*3). Find q such that -9/2*q**3 - x*q**2 - 63/2*q + 27/2 = 0.
-3, 1/3
Let v(l) be the second derivative of -1/22*l**5 - 4/33*l**3 + 0*l**2 + 1/165*l**6 + 4/33*l**4 - 9*l + 0. Determine r so that v(r) = 0.
0, 1, 2
Let m(l) be the first derivative of l**5 + 15*l**4/4 - 5*l**3/3 - 15*l**2/2 + 44. Factor m(d).
5*d*(d - 1)*(d + 1)*(d + 3)
Let p(a) = -5*a**2 + 3*a - 20. Let r(c) = -c**2 + 3*c. Let z(h) = -3*p(h) + 12*r(h). Factor z(t).
3*(t + 4)*(t + 5)
Let x = -287/186 + 13/6. Let v = x - -4/93. Factor v*y**2 - 2*y**3 + 2*y - 2/3.
-2*(y - 1)*(y + 1)*(3*y - 1)/3
Solve 0 + 2*f**3 + 8/5*f - 16/5*f**2 - 2/5*f**4 = 0.
0, 1, 2
Factor -237/5*h - 24 + 6/5*h**2.
3*(h - 40)*(2*h + 1)/5
Let z = 4 - 2. Determine u, given that -5*u**3 - 3*u + 4*u**3 - 6*u**z - 2*u**3 = 0.
-1, 0
Factor 0*z**2 - 16 + 180*z - 184*z + z**2 + 2*z**2 - z**2.
2*(z - 4)*(z + 2)
Suppose 0 = 6*n + n + 35. Let m be (3 + n)*(-2 - 45/(-24)). Factor -m*w**2 + 1/4*w + 0.
-w*(w - 1)/4
Factor 21 + 1/4*q**2 - 25/4*q.
(q - 21)*(q - 4)/4
What is h in 3*h + 153*h**2 - 470 + 470 = 0?
-1/51, 0
Let x(w) be the first derivative of -27*w**6/10 - 432*w**5/25 + 189*w**4/10 + 2156*w**3/5 + 14063*w**2/10 + 9604*w/5 - 102. Determine f, given that x(f) = 0.
-7/3, 4
Let r(c) = 2*c**3 + 19*c**2 + 35*c + 234. Let t be r(-9). Let s = 6 + -3. Solve 4/3*x**s + t*x - 2/3*x**2 + 2*x**4 + 0 = 0 for x.
-1, 0, 1/3
Let -118/11*g + 72/11*g**4 + 12/11 - 102/11*g**3 - 304/11*g**2 = 0. What is g?
-1, -2/3, 1/12, 3
Let s = -33 + 50. Suppose 319 = 4*t - s. Determine w, given that t + w**2 - 84 = 0.
0
Find s such that 78/7*s + 80/7 - 2/7*s**2 = 0.
-1, 40
Suppose -n - 21 + 18 = 0. Let q be -2*(20/8 + n + -1). Factor 0*m**2 + 4/3*m + 2/3*m**4 - 4/3*m**q - 2/3.
2*(m - 1)**3*(m + 1)/3
Let p(n) = 3*n**2 - 19*n + 75. Let h(y) = -y + 20. Let k be h(9). Let i(x) = x**2 - 6*x + 25. Let m(w) = k*i(w) - 4*p(w). Find t such that m(t) = 0.
5
Let z = 16943/3 - 5637. Determine d, given that -z*d**2 - 2/3 + 16/3*d = 0.
1/4
Let g(m) be the third derivative of 1/120*m**6 - 1/20*m**5 + 0*m**3 + 1/12*m**4 - 3*m**2 + 0*m + 0. Let g(r) = 0. What is r?
0, 1, 2
Factor -6*x**5 + 570*x**4 - 156*x - 558*x**4 + 5*x**5 - 57*x**3 + 134*x**2 + 72.
-(x - 3)**2*(x - 2)**3
Let x(v) = 17*v + 87. Let z be x(-5). Let s(b) be the first derivative of 2*b**2 - z*b**3 - 27/2*b**4 + 56/5*b**5 + 0*b + 3. Let s(r) = 0. What is r?
-2/7, 0, 1/4, 1
Suppose 9*l - 3 = 33. Suppose 4*j**4 - 14*j**2 + 6*j**4 + 7*j**5 - 3*j + 174 - 4*j**3 + 2*j**l - 172 = 0. What is j?
-1, 2/7, 1
Let q be (-5)/(-10 + -1 - (-371)/42). Factor 2/13*h**2 - q + 28/13*h.
2*(h - 1)*(h + 15)/13
Let n(x) be the third derivative of x**6/120 + x**5/20 - 35*x**4/8 - 539*x**3/6 + 102*x**2. Solve n(v) = 0.
-7, 11
Suppose -6*w + 213 = -165. Let y be (9/w)/(18/21). Determine z, given that 1/6*z**2 + 0 - y*z = 0.
0, 1
Let w(h) be the second derivative of h**5/180 - h**4/18 + h**3/6 - h**2/2 + 9*h. Let m(f) be the first derivative of w(f). Factor m(t).
(t - 3)*(t - 1)/3
Let s(t) be the second derivative of -8*t**7/21 - 26*t**6/15 - 29*t**5/10 - 11*t**4/6 + t**3/3 + t**2 - 48*t. Solve s(y) = 0.
-1, -1/2, 1/4
Suppose 4*z - 72 = -30*z - 2*z. Factor 2*g**z - 4/3*g - 4/3*g**3 + 1/3 + 1/3*g**4.
(g - 1)**4/3
Factor -16/3*i**2 + 2*i**3 + 26/9*i - 4/9.
2*(i - 2)*(3*i - 1)**2/9
Let y(t) be the third derivative of -1/2*t**3 + 0*t - 1/8*t**4 + 1/40*t**6 + 0 + 27*t**2 + 1/20*t**5. What is n in y(n) = 0?
-1, 1
Let n(m) be the third derivative of -m**5/40 - 53*m**4/32 + 27*m**3/8 + m**2. Suppose n(x) = 0. Calculate x.
-27, 1/2
Factor -44/7*o + 46/7 - 2/7*o**2.
-2*(o - 1)*(o + 23)/7
Suppose -4*m = -3 - 1. Let c(t) = t - 1. Let q be c(4). Factor x**3 - m - 2 + 4*x**3 - 4*x**q - 5*x**2 + 7*x.
(x - 3)*(x - 1)**2
Let g be -5*(-1 - 146/(-10)). Let y be (g/20)/(8/(-20)) - -1. Find x such that 12*x**2 - 31/2*x**3 + 1/2 - 9/4*x**5 + y*x**4 - 17/4*x = 0.
2/9, 1
Let a(u) = 11*u**3 + 7*u**2 - 6*u**3 - 5*u**3 - 6*u**3 - 5*u. Let o(c) = 13*c**3 - 15*c**2 + 11*c. Let k(i) = 9*a(i) + 4*o(i). Factor k(b).
-b*(b - 1)*(2*b - 1)
Let r(d) be the first derivative of d**3/27 - d**2/6 + 2*d/9 - 42. What is s in r(s) = 0?
1, 2
Let n be 0/(1 + 1)*(-1)/(-1). Let p(q) be the second derivative of 0 + 0*q**2 - 4*q - 1/36*q**4 + n*q**3. Find l, given that p(l) = 0.
0
Let 4/7*a**2 + 20/7 + 24/7*a = 0. Calculate a.
-5, -1
Let p(l) be the third derivative of l**7/1365 - l**6/780 - 3*l**5/130 - 11*l**4/156 - 4*l**3/39 - 23*l**2 - 1. Factor p(r).
2*(r - 4)*(r + 1)**3/13
Let m(r) be the first derivative of -r**5/5 + r**4/12 - 105. Factor m(o).
-o**3*(3*o - 1)/3
Let x(h) be the first derivative of -h**5/4 - 7*h**4/6 - 22*h**3/15 - 4*h**2/5 + 15*h + 4. Let a(l) be the first derivative of x(l). Factor a(t).
-(t + 2)*(5*t + 2)**2/5
Let m(f) be the first derivative of -f**6/210 + f**5/70 - f**4/84 - 4*f + 4. Let u(y) be the fi