) = 13*u**3 - 26*u**2 + 13*u + 12. Let w(q) = x*g(q) - 6*a(q). What is d in w(d) = 0?
-2/7, 1, 3
Suppose -4*l - 3*l + l = 0. Let g(z) be the second derivative of 0 + 1/15*z**6 + l*z**2 + 12*z + 1/5*z**5 + 0*z**3 + 1/6*z**4. Let g(q) = 0. What is q?
-1, 0
Let c(o) = o**3 + o**2 - 5*o + 5. Suppose 2*r + 2 = 4*r, -5*y + 2*r = -3. Let q be c(y). Factor -1/4*n**4 + 0 + 5/4*n**3 - 7/4*n**q + 3/4*n.
-n*(n - 3)*(n - 1)**2/4
Factor 2/3*g**2 + 548/3 + 278/3*g.
2*(g + 2)*(g + 137)/3
Factor 81*o**2 + 905*o**3 - 1810*o**3 - 119*o**2 + 903*o**3 - 88*o**2.
-2*o**2*(o + 63)
Find n, given that -1936*n**4 + 1 - 176*n + 44*n**3 + 30975/4*n**2 = 0.
-2, 1/88, 2
Suppose -45 = 5*j - 3*m, -24*m + 27 = -3*j - 22*m. Let v be 8/(-128)*-38 - j/(-24). Factor 2/7*s**v - 1/7 - 1/7*s.
(s - 1)*(2*s + 1)/7
Let i(c) be the second derivative of -c**5/25 - 8*c**4/15 + 8*c**3/3 + 258*c. Solve i(z) = 0.
-10, 0, 2
Suppose 333*t = 337*t - 360. Let n be 2/12 - 15/t. Factor -2/7*r**5 + 4/7*r**2 + 0*r**3 + n - 4/7*r**4 + 2/7*r.
-2*r*(r - 1)*(r + 1)**3/7
Factor -2/13*i**2 + 24/13*i + 0.
-2*i*(i - 12)/13
Let m = -85869/11 + 7807. Factor 19/11*l + m*l**2 - 1/11*l**3 + 10/11.
-(l - 10)*(l + 1)**2/11
Let z(t) = t**3 - 11*t**2 - 24*t - 14. Let y be z(13). Let d be -1 + 4/y + 24/9. Factor 0 + d*r + 0 + 34*r**2 - 36*r**2.
-2*r*(r - 1)
Let s(m) be the first derivative of 15*m**4/16 - 9*m**3/4 + 3*m**2/2 + 1210. Let s(l) = 0. Calculate l.
0, 4/5, 1
Let c(q) be the first derivative of 36*q**5/5 + 294*q**4 + 9568*q**3/3 - 588*q**2 - 9604*q - 925. Suppose c(t) = 0. What is t?
-49/3, -1, 1
Let a(f) be the second derivative of -9*f**3 - 1/2*f**5 - 27/2*f**2 - 1/30*f**6 - 3*f**4 + 0 - 57*f. Factor a(j).
-(j + 1)*(j + 3)**3
Let 256/13 + 34/13*i**3 + 2/13*i**4 + 12/13*i**2 - 304/13*i = 0. Calculate i.
-16, -4, 1, 2
Let w(s) be the third derivative of s**6/30 - 19*s**5/15 + 14*s**4 + 11*s**2 - 237*s + 1. Factor w(z).
4*z*(z - 12)*(z - 7)
Let y(v) be the second derivative of -v**6/40 + 17*v**5/20 - 31*v**4/8 + 15*v**3/2 + 53*v**2/2 - 18*v. Let i(t) be the first derivative of y(t). Factor i(g).
-3*(g - 15)*(g - 1)**2
Let p(h) be the first derivative of -4*h**3/9 + 230*h**2 - 822. Let p(c) = 0. What is c?
0, 345
Let c = 46 - 44. Factor 3*l**2 + 2*l**c - 25 - 18*l - 2*l.
5*(l - 5)*(l + 1)
Let m(g) be the first derivative of 7*g**2 + 119 - 22/3*g**3 + 1/2*g**4 + 294*g. Factor m(v).
2*(v - 7)**2*(v + 3)
Let s be (-2 - -5 - -1) + -2. Suppose 36 = -s*n + 6*n. Factor -15*d - n*d**2 + 13*d + 0*d**3 + 2*d**3 + 7*d**4 + 2*d**2.
d*(d - 1)*(d + 1)*(7*d + 2)
Let i(v) = -2*v - 3. Let n be i(-3). Factor 3156 - 3156 + n*k**2 - k**3.
-k**2*(k - 3)
Suppose 911*i = 227*i - 817*i + 6004. Let 2/19*c**i - 6/19*c**2 - 34/19*c + 10/19*c**3 - 20/19 = 0. What is c?
-5, -1, 2
Let c(b) be the second derivative of -b**7/14 + b**6/2 - 3*b**5/4 - 5*b**4/4 + 3*b**3 - 881*b. What is v in c(v) = 0?
-1, 0, 1, 2, 3
Let i(z) be the first derivative of 0*z - 62 + 0*z**2 + 3/35*z**5 + 25/7*z**3 - 15/14*z**4. Factor i(l).
3*l**2*(l - 5)**2/7
Let c(t) be the first derivative of -t**6/12 + t**5 - 7*t**4/2 + 5*t**3/3 + 29*t**2/4 - 10*t + 2771. Suppose c(k) = 0. Calculate k.
-1, 1, 4, 5
Let t(i) be the first derivative of -i**3/12 - 5*i**2/4 + 14*i + 836. What is z in t(z) = 0?
-14, 4
Let a be 12/(-38) + 97636/271035. Let z(i) be the first derivative of a*i**3 + 2/15*i**2 - 19 - 2/5*i. Factor z(v).
2*(v - 1)*(v + 3)/15
Let s(l) be the first derivative of -l**3/15 + 1489*l**2/10 + 8297. Factor s(k).
-k*(k - 1489)/5
Suppose 0 = 4*q - z - 4113, -4*q + 786 = -4*z - 3318. Let a = q - 1029. Determine y, given that 0*y - 4/3*y**2 + 0 + a*y**3 + 1/3*y**4 = 0.
-2, 0, 2
What is y in -186*y - 2*y**2 - 600 + 4*y**2 + 1140 = 0?
3, 90
Let s = -96828 + 295060/3. Let a = s + -1512. Find m, given that -6 + 17*m + a*m**2 + 7/3*m**3 = 0.
-3, 2/7
Let r(i) be the first derivative of -i**5/50 + 9*i**4/8 - 29*i**3/10 + 43*i**2/20 + 3766. Factor r(p).
-p*(p - 43)*(p - 1)**2/10
Determine x, given that -753/7*x**2 + 8844/7*x - 3/7*x**5 - 7260/7 - 741/7*x**3 - 87/7*x**4 = 0.
-11, -10, 1, 2
Let x be (2343/(-156) - -15)/(1 - 27/24). Suppose k = w + 3, -w = -9*k + 5*k + 12. Solve -x*j**2 + w - 4/13*j + 2/13*j**3 = 0 for j.
-1, 0, 2
Let y(u) be the first derivative of 2*u**2 - 12/5*u**5 + 8*u**3 + 21 - 12*u + 2/3*u**6 - 2*u**4. Determine x so that y(x) = 0.
-1, 1, 3
Let g(q) be the third derivative of 9/4*q**6 + 243/2*q**3 - 6*q + 405/8*q**4 - 3*q**2 + 3/14*q**7 + 0 + 27/2*q**5 + 1/112*q**8. Factor g(z).
3*(z + 3)**5
Let r = 332 - 169. Suppose 0 = -18*t + r - 109. Solve -25/9*s**4 - 188/3*s**2 - 64/9 + 220/9*s**t + 352/9*s = 0.
2/5, 4
Let i = 16628 - 16625. Let f(r) be the first derivative of -1/5*r**2 - 1/40*r**4 + 0*r - 47 - 1/6*r**i. Factor f(s).
-s*(s + 1)*(s + 4)/10
Let o(c) be the first derivative of -c**6/15 + 7*c**5/20 + 5*c**4/12 - 2*c**3/3 - 55*c + 33. Let d(t) be the first derivative of o(t). Factor d(s).
-s*(s - 4)*(s + 1)*(2*s - 1)
Let h be (1 - 2) + (-8)/(-2). Let t = 7381 + -7379. Let 5/2*i**2 + i**h + 1/2 + t*i = 0. What is i?
-1, -1/2
Let x be ((-3)/(-2) - 2)*(-1 - (73 + -73)). Factor 0*z + 0 + x*z**3 - 5/2*z**2.
z**2*(z - 5)/2
Let s = -40639/4 + 10160. Let v(p) be the first derivative of 1/9*p**3 + s*p**4 + 1/18*p**6 + 25 + 0*p**2 + 0*p + 1/5*p**5. Suppose v(b) = 0. What is b?
-1, 0
Let n(b) = 6*b**3 - 4*b - 3*b - 7*b**2 - 5*b**3 + 13*b**2 + 0*b**3. Let y be n(-7). Factor -9/4*s**2 + 15/4*s**3 + y - 3/2*s.
3*s*(s - 1)*(5*s + 2)/4
Factor -231/2*c**3 + 0*c + 0 + 57/2*c**2 + 6*c**4.
3*c**2*(c - 19)*(4*c - 1)/2
Let g be 44/66*(-1668)/2. Let d = g + 1113/2. Solve -7/2*t**2 - 15/2*t - d*t**3 - 9/2 = 0.
-3, -1
Let a(s) be the second derivative of -16*s - 9*s**2 + 3/28*s**7 - 1/20*s**6 - 1 - 69/40*s**5 + 25/8*s**4 + 2*s**3. Determine n, given that a(n) = 0.
-3, -2/3, 1, 2
Let d(o) be the second derivative of -o**6/120 - o**5/2 - 77*o**4/48 - 19*o**3/12 - 471*o. Determine x, given that d(x) = 0.
-38, -1, 0
Let v be (315/(-10))/21*(5 + 108/(-20)). Let g be (-2*(-6)/10)/1. Solve -3/5*a**2 - v + g*a = 0.
1
Let x = 1159591/169106 - 1/24158. Factor -40/7*k**2 + 5/7*k**4 + 1/7*k**5 + 0*k**3 - x - 80/7*k.
(k - 3)*(k + 2)**4/7
Let z be (((-936)/24)/39)/(2/(-86)). Let y(b) be the first derivative of -z - 1/2*b**4 + 0*b + 1/3*b**3 - 1/5*b**5 + b**2. Let y(u) = 0. What is u?
-2, -1, 0, 1
Let o(u) be the third derivative of -19/90*u**5 + 1/120*u**6 + 0*u + 2/3*u**3 + 23*u**2 + 23/72*u**4 - 1. Factor o(t).
(t - 12)*(t - 1)*(3*t + 1)/3
Let h = -286918/9 - -31880. Let b = -15 - -17. Suppose h*d**b - 4/9 + 2/9*d = 0. Calculate d.
-2, 1
Let i be 140613/(-22)*2/3*-1. Factor -4258*v**4 - 3*v**3 + 3*v**2 + i*v**4 - 6*v**2 + 3*v.
3*v*(v - 1)**2*(v + 1)
Suppose -5185*p + 56 = -5171*p. Suppose 3*u = 4*j - 20 + 27, 24 = 2*j + p*u. Solve -1/2*o**j - 7/2 - 4*o = 0 for o.
-7, -1
Let v(j) be the first derivative of -j**4/4 + 2*j**3 - 6*j**2 - 56*j + 62. Let q(u) be the first derivative of v(u). Determine m, given that q(m) = 0.
2
Suppose 5*l = g - 690 - 583, -2*g + 2522 = -4*l. Let m = 2529/2 - g. Factor 15*p - 25/4 - 1/4*p**4 - m*p**2 + 3*p**3.
-(p - 5)**2*(p - 1)**2/4
Let k(q) be the third derivative of q**9/3780 + q**8/240 - 4*q**7/315 - 197*q**4/24 + 274*q**2. Let a(b) be the second derivative of k(b). Solve a(d) = 0.
-8, 0, 1
Let w(m) be the first derivative of -15*m**2 - 41 + 0*m - 5/3*m**3. Factor w(o).
-5*o*(o + 6)
Let c(a) = a**3 - 14*a**2 + 3*a - 24. Let h be c(14). Let x**2 + 82 - 74 + 73 + h*x = 0. Calculate x.
-9
Let j(k) be the first derivative of 0*k + 11*k**4 - 2 - 22*k**2 + 4/3*k**3 - 4/5*k**5. Factor j(p).
-4*p*(p - 11)*(p - 1)*(p + 1)
Let n(d) be the first derivative of -2*d**5/55 + 183*d**4/22 - 362*d**3/11 + 541*d**2/11 - 360*d/11 - 1821. Solve n(o) = 0 for o.
1, 180
Let k(v) = v - 3. Let m be k(8). Suppose -m*a = -2*d + 9, 5*d - 3*d + 4*a = 0. Determine z so that 0*z**2 + 6*z - 7*z**2 + 4*z**d + 9 + 0 = 0.
-1, 3
Let v(d) = 2*d - 59. Let q be v(-15). Let a = -87 - q. Suppose 4 - 5*l**3 + 23*l**a + 6 + 10*l - 10 = 0. What is l?
-2/5, 0, 5
Let v = -10443 + 41773/4. Let o be 1 - 6*5/40. What is j in 0 + v*j + o*j**2 = 0?
-1, 0
Let a(l) be the first derivative of l**4/6 - 4*l**3/3 + 15*l - 37. Let q(o) be the first derivative of a(o). Let q(w) = 0. Calculate w.
0, 4
Let v(w) be