/7*l + 4/7*l**5 + 48 - 132/7*l**3 - 4/7*l**4 = 0. Calculate l.
-3, -2, 1, 7
Let l(f) be the first derivative of -3*f**2 + 11/3*f**3 + 94 + 1/5*f**5 - 3/2*f**4 + 0*f. Find j, given that l(j) = 0.
0, 1, 2, 3
Let n(l) = l**2 - 3*l - 25. Let y be n(7). Find s such that 6*s - y*s**2 + 41 + 171*s - 68 - 23 - 124 = 0.
1, 58
Let h(o) = 6*o + 8. Let s be h(-4). Let a = -1 - s. Suppose -2*u**4 + 5 - a*u - u + 1 + 12*u**2 = 0. Calculate u.
-3, 1
Let x(s) be the third derivative of -s**5/30 + s**4 + 13*s**3/3 + 7*s**2. Let z be x(13). Factor z*c**4 + 12*c**3 - 6*c**4 + 6*c - 15*c**2 + 3*c**4.
-3*c*(c - 2)*(c - 1)**2
Let r be -20 + -15 + 18 - (1 + (-1500)/78). Factor 2/13*c**2 - 66/13 - r*c.
2*(c - 11)*(c + 3)/13
Let f(a) be the third derivative of -a**6/60 - 2107*a**5/10 - 4439449*a**4/4 - 9353919043*a**3/3 + 1141*a**2. Factor f(t).
-2*(t + 2107)**3
Let g(i) = -95*i**3 - 5725*i**2 - 240800*i - 672060. Let k(y) = -14*y**3 - 818*y**2 - 34400*y - 96009. Let n(d) = 3*g(d) - 20*k(d). Suppose n(x) = 0. What is x?
-80, -3
Factor 1/4*u**2 + 42 - 17/2*u.
(u - 28)*(u - 6)/4
Suppose 10*a + 330 = -1420. Let c = 179 + a. Factor -6*q - 2/3*q**3 + 0 - c*q**2.
-2*q*(q + 3)**2/3
Find o such that -2/5*o**3 + 0 + 128/5*o - 126/5*o**2 = 0.
-64, 0, 1
Suppose 0 = i + 5*p - 269, 4*i + i - 5*p - 1195 = 0. Let f be (12/(-14))/2*i/(-183). Let 0 + 2/7*y**2 - f*y = 0. Calculate y.
0, 2
Let x(t) be the second derivative of t**4/84 - 3*t**3/14 - 1191*t. Factor x(a).
a*(a - 9)/7
Factor 2/11*d**3 + 2*d**2 - 400/11 - 20/11*d.
2*(d - 4)*(d + 5)*(d + 10)/11
Let g(d) be the third derivative of -2*d**7/105 - 14*d**6/3 + d**5/15 + 70*d**4/3 - 1074*d**2. Factor g(p).
-4*p*(p - 1)*(p + 1)*(p + 140)
Let 6037/2*l**2 - 2687/2*l**3 + 19/2*l**4 + 7/2*l**5 + 374 - 2062*l = 0. Calculate l.
-22, 2/7, 1, 17
Factor 89 - 156*c**2 - 87 + 202 - 2*c**3 + 122 + 326*c + 154.
-2*(c - 3)*(c + 1)*(c + 80)
Let a be (-23120)/1232 + 19 + (-14 + 10)/44. Factor 12/7*m**2 - a*m**4 - 4/7*m**3 + 0*m + 0.
-m**2*(m - 2)*(m + 6)/7
Suppose 2196 - 1774 = 211*c. Solve -1/2*x - 1 + 1/2*x**c = 0.
-1, 2
Determine z so that -164/9*z - 18 - 2/9*z**2 = 0.
-81, -1
Factor -31301 - 139*r**2 - 193*r**2 + 7*r**4 + 31301 - 1160*r**3.
r**2*(r - 166)*(7*r + 2)
Let f(p) be the second derivative of 0 + 9*p**2 + 39/5*p**5 - 11/2*p**3 - 16*p - 7*p**4. Factor f(b).
3*(2*b - 1)**2*(13*b + 6)
Let f be 4*(6 - 5*(7 - 6)). What is v in 5 + f*v**2 + 7*v**2 - 4*v - 15*v**2 + 3 = 0?
-2, 1
Let c(v) be the second derivative of v**4/48 + 766*v**3/3 + 1173512*v**2 + 2750*v + 1. Factor c(a).
(a + 3064)**2/4
Let q = -1339 - -1341. Let r(n) be the first derivative of -18*n**6 + 0*n + 256/3*n**3 + 0*n**5 + 32*n**q + 72*n**4 - 13. Let r(a) = 0. Calculate a.
-2/3, 0, 2
Let h(k) = 32*k - 441. Let w be h(14). Factor -8*p**2 + 16*p + 22*p**3 - p**5 - w*p**4 + 16 - 74*p**3 + 36*p**3.
-(p - 1)*(p + 2)**4
Let p(f) be the second derivative of 243*f**7/56 + 27*f**6/8 + 9*f**5/8 + 5*f**4/24 - 3*f**3 - 6*f - 10. Let d(x) be the second derivative of p(x). Factor d(v).
5*(9*v + 1)**3
Suppose 2*a - 41 = -21. Suppose -3*x - 140 = -a*x. Factor -y + 8*y**3 - x*y**3 + 8*y**3 + 5*y.
-4*y*(y - 1)*(y + 1)
Factor 5*b - 169*b**2 + 2*b - 6*b + 169 - 48*b**3 + 97*b**3 - 50*b**3.
-(b - 1)*(b + 1)*(b + 169)
Let f(l) = 112*l**3 - 792*l**2 + 564*l - 148. Let i(p) = -p**3 + p**2 + p + 3. Let j(g) = f(g) + 12*i(g). Let j(t) = 0. What is t?
2/5, 7
Let -2*s**3 - 18/11*s**4 - 4/11*s**2 + 0 + 0*s = 0. What is s?
-1, -2/9, 0
Let q(w) be the first derivative of 2/15*w**5 + 11/9*w**3 + 14*w + 2/3*w**2 + 12 + 13/18*w**4. Let i(a) be the first derivative of q(a). Factor i(s).
2*(s + 1)*(s + 2)*(4*s + 1)/3
Let p = -35/281 - -1545/1124. Let a(v) be the second derivative of 0 - 4*v**3 + 2*v - p*v**4 + 6*v**2. Factor a(k).
-3*(k + 2)*(5*k - 2)
Let u(f) be the third derivative of -f**6/30 - 2*f**5/3 + 53*f**4/6 - 28*f**3 - 2585*f**2. Factor u(l).
-4*(l - 3)*(l - 1)*(l + 14)
Factor -1497/2*n**3 + 248751*n**2 + 3/4*n**4 - 110778111/4 - 54890055/2*n.
3*(n - 333)**3*(n + 1)/4
Let b = -29279/18 + 14644/9. Factor 1/6*y**4 + 0 + b*y**2 - 1/2*y**3 - 1/6*y.
y*(y - 1)**3/6
Let t(n) be the third derivative of n**6/420 - 37*n**5/14 + 6394*n**4/7 + 77284*n**3/21 - 3424*n**2. Solve t(s) = 0 for s.
-1, 278
Let y(r) be the first derivative of -r**4/2 + 80*r**3/3 + 271*r**2 + 460*r + 12115. Factor y(g).
-2*(g - 46)*(g + 1)*(g + 5)
Let y(o) be the third derivative of -1/360*o**6 - 2/9*o**5 - 7/3*o**3 - 48*o**2 + 3*o + 83/72*o**4 + 0. Let y(l) = 0. What is l?
-42, 1
Let p(a) = a**2 - 12*a + 14. Let h be p(11). Suppose -6*n**h + 3*n**3 - 175 + 2*n**3 + 177 + 3*n = 0. What is n?
-1, 2
Let z(h) be the first derivative of 3*h**5/40 + 9*h**4/8 + 9*h**3/4 - 57*h**2/4 + 135*h/8 + 1737. Determine t, given that z(t) = 0.
-9, -5, 1
Let q be 3 - 4 - 6/(-2). Suppose 0 = q*b - v - 5, -b = 4*v + 8 - 24. Suppose -2 - b*n**3 - 278*n**2 - 3*n + 290*n**2 - 3*n**3 = 0. What is n?
-2/7, 1
Let d = -966799 + 966802. Factor 1/4*k**d + 31/2*k**2 - 31/2 - 1/4*k.
(k - 1)*(k + 1)*(k + 62)/4
Let j = 28 - 26. Factor -5*i + 17*i + 12*i**j - 14*i**2 - 64 + 24*i.
-2*(i - 16)*(i - 2)
Let x(h) be the second derivative of h**4/36 + 22*h**3/3 + 129*h**2/2 + 7*h - 33. Find z, given that x(z) = 0.
-129, -3
Let v(f) = -8*f**4 - 30*f**3 + 176*f**2 - 168*f + 7. Let a(c) = 7*c**4 + 29*c**3 - 170*c**2 + 168*c - 6. Let n(u) = -7*a(u) - 6*v(u). Factor n(o).
-o*(o - 3)*(o - 2)*(o + 28)
Let r be 22/10 + 1/(-5). Let 27*i**2 + 20*i - 14 + 2 - 31*i**r - 4 = 0. Calculate i.
1, 4
Let q(n) be the second derivative of -3*n**5/20 + 5*n**4/2 + 400*n**3 - 18000*n**2 - 261*n + 1. Factor q(o).
-3*(o - 20)**2*(o + 30)
Suppose r + 6 = j, 0 = 3*r - r + 8. Let -6*p**2 + 350*p**3 + 0*p**j - 347*p**3 = 0. What is p?
0, 2
What is a in -152/5*a**2 + 32/5*a**4 - 26/5*a**3 + 0 - 93/5*a - 1/5*a**5 = 0?
-1, 0, 3, 31
Let u = -797 - -817. Suppose -4*n + 4*f = -u, 4*n - 11 = -f - 1. What is r in -2/3*r**n - 2/9*r - 2/3*r**2 - 2/9*r**4 + 0 = 0?
-1, 0
Let r(c) be the second derivative of 0*c**3 + 0 + 12*c - 1/40*c**4 + 17/2*c**2 + 1/100*c**5. Let l(f) be the first derivative of r(f). Factor l(h).
3*h*(h - 1)/5
Let u(b) = 84*b + 1. Let k be u(-1). Let n = -83 - k. Suppose 1/2*l**4 + n - l**3 + 1/2*l**2 + 0*l = 0. Calculate l.
0, 1
Let u(j) be the first derivative of 1/4*j**6 + 85/6*j**3 + 65/8*j**4 + 6*j + 13*j**2 - 41 + 23/10*j**5. Find t such that u(t) = 0.
-3, -2, -1, -2/3
Let z(f) = -4*f**3 + 483*f**2 - 19200*f + 256003. Let v(c) = -10*c**2 - 20*c**2 + 1 + 31*c**2. Let r(g) = 3*v(g) - z(g). Factor r(h).
4*(h - 40)**3
Suppose -87*i = 19463 + 17773. Let f = i - -2579/6. Suppose 0*r**2 + 0 + 0*r - f*r**4 - r**3 - 1/2*r**5 = 0. Calculate r.
-3, -2/3, 0
Find o, given that 20*o**5 + 29*o**4 - 210*o**3 - 374*o**4 - 140*o**3 + 90*o**2 + 75*o**3 = 0.
-1, 0, 1/4, 18
Suppose -4776*u**5 - 9000 - 14700*u - 3918*u**2 + 4771*u**5 - 180*u**4 - 2085*u**3 - 4672*u**2 = 0. What is u?
-15, -2
Let u(c) = -11*c**2 + 904*c + 921. Let t(h) = -h**2 - h + 1. Let o(y) = -6*t(y) + u(y). Suppose o(x) = 0. What is x?
-1, 183
Suppose -13*x = -148 + 41 - 309. Let k(v) = -v. Let r be k(-2). Let -x*i - 42*i**3 - 20*i**r + 0*i**2 - 39*i**3 + 77*i**3 - 16 = 0. What is i?
-2, -1
Let v = -863204/7 + 123316. Solve -16*l - 94/7*l**2 + 104/7*l**3 + 62/7*l**4 + v*l**5 + 32/7 = 0 for l.
-4, -1, 1/4, 1
Let f = 306 + -282. Suppose -1 - 22*g**3 + f*g**3 + 0*g + 1 + 10*g**2 + 8*g = 0. What is g?
-4, -1, 0
Let a = -11 + 12. Let w = a + 4. Determine y, given that 3 + 15*y**3 + 2 + w*y - 6*y**2 - y**2 - 18*y**2 = 0.
-1/3, 1
Let b(g) be the second derivative of 10/27*g**3 + 16/9*g**2 - 5 + 2*g + 1/54*g**4. Factor b(o).
2*(o + 2)*(o + 8)/9
Let z(m) be the second derivative of 5*m**4/12 - 9500*m**3/3 + 9025000*m**2 - 1156*m. Solve z(h) = 0.
1900
Let b = -415 - -417. Determine q, given that -108 + 56*q**2 - 200*q**b - 139*q**4 + 216*q + 135*q**4 + 40*q**3 = 0.
1, 3
Let p(d) be the third derivative of d**8/4032 - d**7/252 - d**6/12 + 33*d**5/20 + 23*d**2. Let k(h) be the third derivative of p(h). Factor k(w).
5*(w - 6)*(w + 2)
Factor -320226/5*m + 22896/5*m**2 - 446631 - 462/5*m**3 + 3/5*m**4.
3*(m - 53)**3*(m + 5)/5
Let h(g) be the second derivative of -5*g**7/84 - 9*g**6/20 - 27*g**5/40 + 47*g**4/24 + 4*g**3 - 9*g**2 - 9652*g. Find v, given th