l**4 - 6*l - 27/8 + l**3 - 7/4*l**2 = 0.
-9, -1, 3
Let t = -167058 - -2171762/13. Suppose -18/13*l**5 - t*l**3 + 2*l - 44/13*l**2 - 4/13 + 48/13*l**4 = 0. Calculate l.
-1, 1/3, 1, 2
Let f(a) = 34*a**3 - 80*a**2 - 86*a - 14. Let d(z) = -7*z**3 + 16*z**2 + 17*z + 3. Let s = 55 - 69. Let n(o) = s*d(o) - 3*f(o). What is i in n(i) = 0?
-1, 0, 5
Let t(d) be the first derivative of 0*d**2 + 0*d + 0*d**4 - 1/15*d**3 + 73 + 1/25*d**5. Factor t(l).
l**2*(l - 1)*(l + 1)/5
Let n(l) be the second derivative of l**7/70 - l**6/10 - 39*l**5/50 + 13*l**4/2 + 5*l**3/2 - 75*l**2/2 - 2*l - 71. Find g, given that n(g) = 0.
-5, -1, 1, 5
Let s(m) be the third derivative of -m**7/315 - 7*m**6/360 + m**5/15 + 5*m**4/8 - 8*m**2 + 53*m. Find q, given that s(q) = 0.
-3, 0, 5/2
Suppose 2*x = -3*k + 939, 0 = 3*k + 6*x - 2*x - 945. Let w = k + -2174/7. What is z in 3/7*z + 0 - 1/7*z**4 - w*z**3 + 1/7*z**2 = 0?
-3, -1, 0, 1
Let i(m) be the first derivative of m**4/12 - 13*m**3/6 - 72*m + 67. Let g(v) be the first derivative of i(v). Factor g(k).
k*(k - 13)
Suppose -33*c + 85*c - 507 = -403. Factor -c*x**2 + 2*x**4 - 5/2*x + 5/2*x**3 + 0.
x*(x - 1)*(x + 1)*(4*x + 5)/2
Let u(r) be the first derivative of 2*r**3/51 - 450*r/17 - 9755. Find s such that u(s) = 0.
-15, 15
Let s be ((-60)/49*(-21)/6)/(1972/3451). Solve 18*r**5 + 12*r**4 + 9*r + 0 - s*r**2 - 63/2*r**3 = 0 for r.
-3/2, -2/3, 0, 1/2, 1
Determine m, given that 488/3*m**2 - 168 + 16/3*m**4 + 2020/3*m**3 - 2020/3*m = 0.
-126, -1, -1/4, 1
Let q(s) = -s**3 - 8*s**2 - 12*s + 30. Let u be q(-11). Suppose -u*g + 497*g + 49 + 6*g**2 - 2*g**2 = 0. What is g?
7/2
Suppose -2 = 2*j, 2*q = j - 1 - 2. Let k be (3 - -1) + 2/q. Solve -18*h + 12*h**2 + 4*h**3 - 5*h**2 + 4*h + k = 0.
-3, 1/4, 1
Solve 41/3*a**2 - 19/3*a**4 + 4*a + 1/2*a**5 + 17/6*a**3 + 0 = 0 for a.
-1, -1/3, 0, 2, 12
Let f(d) = -2*d - 8. Let x be f(-5). Let c be -4 - ((-21)/(-5))/(66/60 + -2). Factor g - c - 1/3*g**x.
-(g - 2)*(g - 1)/3
Suppose 263*z - 264*z - 14 = 0, 0 = -8*w + 5*z + 102. Let -3/2 + 1/2*r - 1/8*r**w + 0*r**3 + 9/8*r**2 = 0. Calculate r.
-2, 1, 3
Let i(w) = -6*w**2 - 60*w + 40. Let b(n) = 2*n**2 + 20*n - 12. Let g(t) = -2*t + 64. Let o be g(37). Let v(r) = o*b(r) - 3*i(r). Find x such that v(x) = 0.
-10, 0
Let y be 27/45 + (-68)/(-20) + 0. Let p(w) be the second derivative of -1/8*w**2 + 1/16*w**3 + 0 + 10*w - 1/96*w**y. Factor p(d).
-(d - 2)*(d - 1)/8
Let i(s) be the second derivative of s**6 - 5*s - 3*s**5 + 0*s**2 - 5/42*s**7 + 0*s**3 + 10/3*s**4 - 16. Suppose i(n) = 0. Calculate n.
0, 2
Let q(p) be the third derivative of -p**6/30 + 107*p**5/15 + p**4/6 - 214*p**3/3 + 1106*p**2. Factor q(t).
-4*(t - 107)*(t - 1)*(t + 1)
Let a = -9096 + 9098. Let o(q) be the second derivative of 7/39*q**3 + 3*q + 6/13*q**a + 0 - 7/195*q**6 + 33/130*q**5 - 1/2*q**4. Let o(v) = 0. What is v?
-2/7, 1, 3
Suppose 4*w + 10*o - 4 = 14*o, -4*w + 13 = -o. Suppose -w*d + 66 - 50 = 0. Find b such that 2/7*b**3 + 0 - 2/7*b**d + 4/7*b**2 + 0*b = 0.
-1, 0, 2
Factor -12324*s**2 + 986078/3 - 2/3*s**4 - 948632/3*s - 472/3*s**3.
-2*(s - 1)*(s + 79)**3/3
Let p be -3*(-6)/171 + 180/95. Factor 44*u**p + 158*u**3 + 76*u + 112 - 236*u - 154*u**3.
4*(u - 2)*(u - 1)*(u + 14)
Suppose 6553*l = 3291*l + 3294*l. Factor 0*d**2 + 0 - 4/9*d**3 + l*d**4 + 2/9*d**5 + 2/9*d.
2*d*(d - 1)**2*(d + 1)**2/9
Factor -20/9*o**2 + 2/9*o**3 + 50/9*o + 0.
2*o*(o - 5)**2/9
Let f = 318 + -302. Let d(l) be the first derivative of 4*l**2 + f + 0*l**3 + 4/5*l**5 - 2*l**4 - 4*l. Factor d(c).
4*(c - 1)**3*(c + 1)
Suppose -6558 = 6*s + 240. Let h = 3401/3 + s. What is q in -q**2 - h*q + 0 = 0?
-2/3, 0
Factor -2/9*o**2 + 88/9*o + 128/3.
-2*(o - 48)*(o + 4)/9
Let u(q) = -2*q**3 - 16*q**2 + 21*q + 84. Let y(t) = -2*t**3 - 14*t**2 + 20*t + 86. Let b(i) = 2*u(i) - 3*y(i). Solve b(m) = 0.
-5, -3, 3
Let r = -825081/5 - -165021. Factor -3*d**2 - 3/5*d**3 - 12/5 - r*d.
-3*(d + 1)*(d + 2)**2/5
Let z = -542157 - -274873813/507. Let x = -15/169 + z. Let 9*b + 0 - 8/3*b**4 - x*b**5 - 6*b**3 + 0*b**2 = 0. What is b?
-3, 0, 1
Let n(v) be the third derivative of -72*v**2 - 25/6*v**3 + 0*v + 5/12*v**4 - 1/60*v**5 + 0. Find c such that n(c) = 0.
5
Let n(y) be the first derivative of 1/2*y**6 + 36/5*y**5 + 36*y + 104 + 3/2*y**2 - 3/2*y**4 - 24*y**3. Let n(b) = 0. What is b?
-12, -1, 1
Let z(s) be the first derivative of 0*s + 1/13*s**2 - 2/39*s**3 - 3/26*s**4 - 2/39*s**6 - 11 + 2/13*s**5. Determine o so that z(o) = 0.
-1/2, 0, 1
Let z(s) be the first derivative of s**6/1980 - s**5/220 + s**3 - 5*s + 31. Let p(y) be the third derivative of z(y). Determine d so that p(d) = 0.
0, 3
Let o be (-100)/(-1150) - 4/46. Let b(l) be the second derivative of 0*l**2 + 1/48*l**4 + 14*l + 0*l**3 + o + 1/168*l**7 - 1/120*l**6 - 1/80*l**5. Factor b(m).
m**2*(m - 1)**2*(m + 1)/4
Factor 0 + 0*u**3 + 0*u - 1/2*u**5 - 9*u**4 + 0*u**2.
-u**4*(u + 18)/2
Factor -3*h - 18 + 1/3*h**3 + 2*h**2.
(h - 3)*(h + 3)*(h + 6)/3
Let n(p) be the second derivative of p**4/6 + 796*p**3/3 + 158404*p**2 + 4245*p. Factor n(s).
2*(s + 398)**2
Let j(q) = -76*q**2 - 619*q + 48. Let c(y) = -y**2 - 4*y - 2. Let v(w) = -4*c(w) - j(w). Factor v(k).
5*(k + 8)*(16*k - 1)
What is m in 2/7*m**2 - 12/7*m - 2 = 0?
-1, 7
Let z(n) = 22*n**2 - 908*n - 850. Let m(r) = 8*r**2 - 303*r - 281. Let b(a) = -8*m(a) + 3*z(a). Factor b(j).
2*(j - 151)*(j + 1)
Let t(s) = -s**4 - s**3 - s**2 - s - 9. Let d(q) = -3*q**5 - 702*q**4 + 4344*q**3 - 9432*q**2 + 8745*q - 2835. Let m(x) = -d(x) - 9*t(x). Solve m(v) = 0.
-243, 1, 2
Suppose 0 = -5*f + 2*g + 22, -g = 1 - 0. Let d be 23 - 22 - 1/f. Find v such that 3/4*v - d*v**2 + 3/2 = 0.
-1, 2
Let v(r) be the third derivative of -r**6/30 + 2*r**5/15 + 7*r**4/6 + 8*r**3/3 + 128*r**2 + 3*r. Factor v(h).
-4*(h - 4)*(h + 1)**2
Let z = 111/617 + 1296/3085. Solve -z*s + 0 - 3/5*s**2 = 0 for s.
-1, 0
Let z(x) be the third derivative of -5*x**6/24 - 7*x**5/6 + 5*x**4 - 647*x**2 - 1. Factor z(j).
-5*j*(j + 4)*(5*j - 6)
Suppose -1936 = 40*q - 18*q. Let c be (20/q)/(-10*8/192). Factor -c*w + 10/11*w**2 - 4/11.
2*(w - 1)*(5*w + 2)/11
Let 1/4*z**5 - 9/4*z**4 - 63/4*z**2 - 13/2*z + 0 - 47/4*z**3 = 0. Calculate z.
-2, -1, 0, 13
Let o(t) = -t**2 + 47*t - 42. Let k be o(46). Suppose -2*p + 3*s = -3, k*p + s = 34 - 21. Factor 4*h - 4/5*h**4 + 12/5*h**2 + 8/5 - 4/5*h**p.
-4*(h - 2)*(h + 1)**3/5
Suppose -6*x + 10 = 22. Let d be (x/12)/(-12 + (-424)/(-36)). Suppose -d - 3/4*y**2 + 3/2*y = 0. Calculate y.
1
Let d(i) be the second derivative of -i**4/12 + 20*i**3 + 121*i**2/2 + 1438*i. What is g in d(g) = 0?
-1, 121
Let i(m) = 47*m + 181. Suppose 0 = 4*f, -h + 2*f - 3 = f. Let y be i(h). Factor y*r + 48 + 1/3*r**3 - 23/3*r**2.
(r - 12)**2*(r + 1)/3
Let m = -270 + 256. Let g be (-3)/(-4 + m/4). Find y, given that -4/5*y - 2/5*y**2 - g = 0.
-1
Let n(u) be the third derivative of 0*u + 3/20*u**5 + u**4 + 0 + 298*u**2 - 3/2*u**3. Let n(z) = 0. What is z?
-3, 1/3
Suppose -n + 12 = -16. Determine g, given that 4*g**4 + n*g**3 - 16*g + 148*g**2 + 174 + 256*g - 30 + 12*g**3 = 0.
-3, -2
Let x be (-24948)/1980*(3 + (-423)/6). Factor -x*d - 29/2*d**4 - 1/2*d**5 - 149*d**3 - 621*d**2 - 729/2.
-(d + 1)**2*(d + 9)**3/2
Suppose 1336/3*v + 100/3*v**2 - 4/3*v**3 + 2240/3 = 0. Calculate v.
-8, -2, 35
Let n = -2951/155 + 615/31. Suppose n*w**2 - 56/5*w + 196/5 = 0. Calculate w.
7
Let r(f) be the first derivative of -f**7/735 - 47*f**6/420 - 88*f**5/35 + 48*f**4/7 + 85*f**2/2 + 162. Let k(h) be the second derivative of r(h). Factor k(u).
-2*u*(u - 1)*(u + 24)**2/7
Suppose 6*o - 2 = 10. Suppose 0 = o*m - c, 2*m - 2*c - 4 = c. Let x(j) = j**2 + j + 1. Let q(r) = -4*r**2 + 5*r - 19. Let n(d) = m*q(d) - 3*x(d). Factor n(f).
(f - 4)**2
Suppose -23 = n - 2*x - 17, -5*x = -4*n - 12. Let y = -459 + 923/2. Suppose y*a**3 - 1280 - 60*a**n + 480*a = 0. Calculate a.
8
Suppose 0 = -7*g + 9 + 12. Suppose g*u + 8 = 4*j + 4*u, 3*j - 3*u = 21. Let -2 - 312*k**4 - 52*k**5 - 136*k**2 + 0 - 311*k**j - 27*k - 60*k**5 = 0. Calculate k.
-1, -2/7, -1/4
Let j be (-10)/(-26) - 900/17550. Factor -j*w**3 + w**2 + 3*w + 5/3.
-(w - 5)*(w + 1)**2/3
Factor 362*w + 187*w - 860 - 2*w**2 + 313*w.
-2*(w - 430)*(w - 1)
Suppose -2 = -4*j + 3*j - 2*x, 66 = 5*j - 4*x. Factor -7*p + 18*p**2 - j*p**2 - 9*p**2 - 2*p - p - 24.
-(p + 4)*(p + 6)
Let