Factor u(y).
-(y - 1)*(y + 2)/2
Let u(k) = k**3 - 5*k**2 + 2*k - 7. Let p be u(5). Determine j, given that j**2 + 12*j - 12*j**4 - 24*j**3 + 0*j**2 + p*j + 8*j**2 - 6 = 0.
-2, -1, 1/2
Let z(l) be the first derivative of 0*l**2 + 0*l + 1/12*l**4 - 25 + 0*l**3. Solve z(s) = 0.
0
Let w(m) be the first derivative of -4*m**5/5 - 7*m**4 - 16*m**3 + 158. Factor w(y).
-4*y**2*(y + 3)*(y + 4)
Let d(r) = 11*r - 72. Let g be d(7). Let p(c) be the third derivative of 7*c**2 + 0*c - 1/3*c**3 + 0 - 1/30*c**g + 1/6*c**4. Factor p(z).
-2*(z - 1)**2
Let q be (-15)/(-3)*3 + -3. Factor q - f - 4*f**2 + 3*f + f + 5*f.
-4*(f - 3)*(f + 1)
Suppose 122*f - 40 = 102*f. Let l(t) be the second derivative of -1/126*t**7 + 0 + t + 0*t**6 + 0*t**f + 0*t**4 + 0*t**3 + 1/60*t**5. Factor l(c).
-c**3*(c - 1)*(c + 1)/3
Let z(n) be the second derivative of 2*n**6/35 - 3*n**5/35 + n**3/14 + n**2 + 7*n. Let t(d) be the first derivative of z(d). Let t(j) = 0. Calculate j.
-1/4, 1/2
Let f(s) be the second derivative of -1/168*s**4 + 0*s**5 + 6*s**2 + 0*s**3 + 1/840*s**6 + 8*s + 0. Let q(d) be the first derivative of f(d). Factor q(t).
t*(t - 1)*(t + 1)/7
Let r = -35 + 37. What is o in 4*o - 4*o + o + 0*o - o**r + 2 = 0?
-1, 2
Factor 4/3*f - 1/3*f**3 - 4 + f**2.
-(f - 3)*(f - 2)*(f + 2)/3
Let q be (-15 - -14)*(3 - 0)*-1. Let u(c) be the first derivative of 3*c**2 + 1/2*c**q + 9/2*c - 9. Determine a so that u(a) = 0.
-3, -1
Let b(h) = -3*h**3 + 337*h**2 - 1162*h + 1150. Let p(x) = -x**3 + 111*x**2 - 387*x + 383. Let w(o) = -3*b(o) + 10*p(o). Find k such that w(k) = 0.
2, 95
Let x = 71/46 - -68/23. Determine g so that 3/4*g**2 - x + 3/4*g = 0.
-3, 2
Suppose -56 = 8*x - 8. Let y(u) = u**4 + 6*u**2 + 7*u - 3. Let f(s) = 8*s**4 + 54*s**2 + 62*s - 26. Let r(z) = x*f(z) + 52*y(z). What is o in r(o) = 0?
-1, 0, 2
Let w(k) be the second derivative of -2*k**2 + 1/240*k**5 - 1/96*k**4 + 4*k + 0 + 0*k**3. Let d(t) be the first derivative of w(t). Factor d(j).
j*(j - 1)/4
Let b(g) be the third derivative of g**6/120 - 11*g**5/60 - 29*g**4/24 + 13*g**3/2 + 473*g**2 - 2*g. Factor b(d).
(d - 13)*(d - 1)*(d + 3)
Let a be (14/(-21)*-3)/(8/20). Let u(x) be the second derivative of -1/3*x**4 + 4*x - x**3 + 0 + 0*x**2 + 1/10*x**a. Factor u(k).
2*k*(k - 3)*(k + 1)
Suppose 0 = -3*k + 35 - 8. Let v(n) = 7*n**3 + 2*n**2 - 5*n. Let r(f) = 3*f**3 + f**2 - 2*f. Let d(z) = k*r(z) - 4*v(z). Factor d(w).
-w*(w - 2)*(w + 1)
Suppose -3*p + 29 = 5*o + 2, 5*p - 23 = -o. Let r be p*(123/30 + -4). Solve 4/5*a**4 - 2/5*a**3 + 0*a + 0*a**2 - r*a**5 + 0 = 0.
0, 1
Let k be (4/5)/((-15)/25)*-3. What is r in r**2 + 53*r - r**k - 53*r = 0?
-1, 0, 1
Let b(y) be the first derivative of -20*y**6/3 - 206*y**5/5 - 185*y**4/2 - 254*y**3/3 - 11*y**2 + 28*y - 979. Solve b(u) = 0.
-2, -7/5, -1, 1/4
Determine r, given that 15*r**2 + 3*r**3 - 148 + 9*r - 106 + 227 = 0.
-3, 1
Let y(s) be the second derivative of -2*s**6/105 + 11*s**5/35 - 25*s**4/21 - 26*s**3/7 + 36*s**2 - s + 26. Find i such that y(i) = 0.
-2, 3, 7
Find i such that 8/11*i**4 - 24/11*i**3 - 10/11*i**2 + 20/11 + 42/11*i = 0.
-1, -1/2, 2, 5/2
Let b be (1/2 - 3/2)*-2. Let 15*u**3 - 4 - 50*u + 20*u**b - 15*u + 34 = 0. What is u?
-3, 2/3, 1
Let g(k) be the third derivative of k**6/48 - 5*k**4/16 + 5*k**3/6 - 158*k**2. Suppose g(n) = 0. Calculate n.
-2, 1
Let i = -38 + 76. Let o = i - 33. Factor -6 + n**2 + n + o + 0 - 1.
(n - 1)*(n + 2)
Let s be (-3 + 4)/((-4)/(-8)). Let i = 110/69 - 6/23. Factor 0 + 2/3*k**3 + i*k**2 - s*k.
2*k*(k - 1)*(k + 3)/3
Let b = -40597/56 + 5803/8. Factor -3/7*s**5 - b*s**4 + 6/7*s**3 + 0*s + 0*s**2 + 0.
-3*s**3*(s - 1)*(s + 2)/7
Let 0*k**2 - 1/9*k**3 + 1/9*k**4 + 0 + 0*k = 0. Calculate k.
0, 1
Let -24*n + 16*n + 5*n**2 - 9*n**2 = 0. Calculate n.
-2, 0
Suppose 9*w - 1188 + 1170 = 0. Factor -2/3 + 2/9*u**w + 4/9*u.
2*(u - 1)*(u + 3)/9
Let c(y) be the third derivative of 1/210*y**6 + 0*y**4 + 14*y**2 + 0*y + 1/210*y**5 + 0*y**3 + 0 + 1/735*y**7. Let c(p) = 0. Calculate p.
-1, 0
Suppose -15 = -h - 40. Let t be -1*(0 - (-15)/h). Factor -t - 3/5*g**2 - 6/5*g.
-3*(g + 1)**2/5
Solve 42/5*w**2 + 8/5 + 32/5*w + 18/5*w**3 = 0 for w.
-1, -2/3
Let d(f) be the second derivative of -f**4/6 - 52*f**3 - 6084*f**2 + 3*f - 101. Determine p so that d(p) = 0.
-78
Let n(y) = -y**3 - 12*y**2 + 13*y + 2. Let i be n(-13). Suppose -52 = -6*x + 2*x. Factor 3*d + 11*d**i - 32 + x*d**3 + 4*d**4 - d + 32.
d*(d + 1)*(d + 2)*(4*d + 1)
Let c(x) be the third derivative of -x**8/84 - 2*x**7/105 + x**6/15 - 94*x**2 + 4. What is i in c(i) = 0?
-2, 0, 1
Let g = -107/32 + 353/96. Let -g + 2/3*v**2 + 0*v**3 - 1/3*v**4 + 0*v = 0. What is v?
-1, 1
Suppose -3 + 4 = -z, 5*s + 789 = -4*z. Let y = -154 - s. Factor 0*f + 20/7*f**y - 12/7*f**4 + 0 - 8/7*f**2.
-4*f**2*(f - 1)*(3*f - 2)/7
Let p(f) be the third derivative of -5/3*f**4 - 13/3*f**5 + 0 + 0*f**3 + 0*f + 35/48*f**8 - 11/4*f**6 - 20*f**2 + 11/6*f**7. Let p(i) = 0. Calculate i.
-2, -2/7, 0, 1
Suppose 9*z = 23*z - 168. Factor 152*p + 576 + 4*p**2 - z*p - 44*p.
4*(p + 12)**2
Let w(m) = 2*m + 61. Let h be w(-23). Let z(l) = 6*l - 6. Let i be z(6). Find t such that 3 - h*t + i*t**2 - 3*t**5 - 8 + 15*t**4 - 30*t**3 + 8 = 0.
1
Let -246 + 16*y**5 - 51*y**4 - 4*y**2 + 246 + 24*y**3 + 15*y**4 = 0. Calculate y.
0, 1/4, 1
Suppose 0*c = c - 3. Suppose 3*g - 40 = 4*m + m, 4*g - c*m - 35 = 0. Factor -2*b**2 - 16 + g*b**2 + 13.
3*(b - 1)*(b + 1)
Let d be (-110)/(-322) - (-252)/2898. Factor 6/7 - 6/7*h**2 + 3/7*h - d*h**3.
-3*(h - 1)*(h + 1)*(h + 2)/7
Factor 0 - 152/5*y - 4/5*y**2.
-4*y*(y + 38)/5
Let n = 163 - 55. Let f = -106 + n. Factor 0*q**3 + 0*q + 0 + 1/2*q**f - 1/2*q**4.
-q**2*(q - 1)*(q + 1)/2
Let p(r) = -4 + 3*r - 9*r + 10*r. Let i(h) = -h**2 + 4*h - 3. Let o(j) = -3*i(j) + 2*p(j). Solve o(m) = 0.
1/3, 1
Let r be -9*((-1)/3)/((-5)/(-10)). Let w be (-57)/(-45) - 4/r. Solve -w*z - 3/5*z**2 + 0 = 0.
-1, 0
Let q be (-3)/(-60) + 3/4. Let p be ((-3)/10)/((-105)/280). Factor q + 2/5*g**3 - p*g**2 - 2/5*g.
2*(g - 2)*(g - 1)*(g + 1)/5
Let f be (2 - 5/(-4)) + -38 + 35. Factor 3/4*m**3 - 3/4*m**2 - f*m**4 + 0 + 1/4*m.
-m*(m - 1)**3/4
Solve 2/7*k**4 + 4/7*k**2 + 8/7*k**3 - 8/7*k - 6/7 = 0.
-3, -1, 1
Let j = 17141 + -85699/5. What is f in 0 + j*f - 1/5*f**2 = 0?
0, 6
Let z(s) be the first derivative of -8/7*s - 2/21*s**3 - 4/7*s**2 - 3. Find l, given that z(l) = 0.
-2
Let j be ((-46)/16 - (-2)/(-16))/(-6). Solve -j*a**3 + 3/2*a**5 + 0*a - 2*a**4 + 0 + a**2 = 0 for a.
-2/3, 0, 1
Let q(t) be the third derivative of 0*t - 19/6*t**4 - 17/15*t**5 + 0 - 4/3*t**3 - 18*t**2. Find l such that q(l) = 0.
-1, -2/17
Let b(u) be the second derivative of -u**6/90 - u**5/15 + 7*u**4/12 - 2*u**3/9 - 14*u**2/3 - 2*u + 20. Factor b(a).
-(a - 2)**2*(a + 1)*(a + 7)/3
Let q be 479*1/(-13) + (-6)/39. Let j = q + 113/3. Factor 1/3*n**3 + j*n + n**2 + 0.
n*(n + 1)*(n + 2)/3
Let v(c) be the first derivative of -3*c**5/10 - 39*c**4/16 - 5*c**3/4 + 9*c**2/4 + 150. Find u such that v(u) = 0.
-6, -1, 0, 1/2
Let d(c) be the first derivative of -16*c**3 - 8 + 4*c**2 - 12*c**5 + 25/12*c**6 + 23*c**4 + 0*c. Factor d(l).
l*(l - 2)**2*(5*l - 2)**2/2
Let t(z) be the third derivative of 1/36*z**4 + 9*z**2 + 0*z + 2/9*z**3 - 1/90*z**5 + 0. Find s such that t(s) = 0.
-1, 2
Let s(q) = -3*q + 9. Let r be s(7). Let f(z) = -z**3 - 13*z**2 - 13*z - 8. Let a be f(r). What is w in 4/9*w**2 + 0*w + 56/9*w**a + 0 - 10/3*w**3 = 0?
0, 1/4, 2/7
Factor 22/3*y**3 + 1/3*y**4 + 47*y**2 + 100/3 + 220/3*y.
(y + 1)**2*(y + 10)**2/3
Let a(k) = k**2 - 11*k + 23. Let u be a(13). Let t = u + -47. Suppose -2/3*r**t + 0 + 2/3*r = 0. Calculate r.
0, 1
Factor 2/7*u**2 + 3200/7 + 160/7*u.
2*(u + 40)**2/7
Factor 3/5*r + 1/10*r**2 + 1/2.
(r + 1)*(r + 5)/10
Factor -2/5*h**3 - 9248/5*h + 0 + 272/5*h**2.
-2*h*(h - 68)**2/5
Let z(t) be the second derivative of -t**5/135 - 4*t**2 + 8*t. Let m(p) be the first derivative of z(p). Factor m(y).
-4*y**2/9
Let u(r) be the second derivative of r**3/6 - 11*r**2/2 + r. Let s be u(15). Solve -18*q**2 + 7*q**3 + 3 - 9*q**5 + 4*q - q - q**3 + 15*q**s = 0.
-1, -1/3, 1
Let f be 12/(-11)*(11 + 175/(-15)). Let 30/11*y**2 - 8/11 - f*y - 4/11*y**3 - 10/11*y**4 = 0. What is y?
-2, -2/5, 1
Let i(q) be the second derivative of -16*q + 1/66*q**4 + 0 + 0*q**3 - 1/11*q**2. Factor i(r).
2*(r - 1)*(r +