(u) = 0.
-1, 0, 8
Let c(h) be the second derivative of h**4/48 + 269*h**3/12 + 537*h**2/8 + 2*h. Let c(l) = 0. What is l?
-537, -1
Let t be 4643/5 + ((-6)/15)/(-1). Let k = -6488/7 + t. Let k*w - 2*w**3 - 9/7 + 2/7*w**2 + w**4 - 1/7*w**5 = 0. What is w?
-1, 1, 3
Let h(v) = -7*v - 49 + 13*v**2 + 29 + 21*v. Let l be h(5). Determine j so that -39/2*j**3 - 135/2*j**2 + 75/2*j + l - 3/2*j**4 = 0.
-5, 2
Suppose -1406*y - 3335*y + 9710 - 3851 = -13105. Factor 2/7*x**y + 2/7*x**2 - 6/7*x**3 + 6/7*x - 4/7.
2*(x - 2)*(x - 1)**2*(x + 1)/7
Let s(l) be the first derivative of 2*l**3/9 + 182*l**2/3 - 736*l/3 - 2982. Find h such that s(h) = 0.
-184, 2
Factor 75*j**3 - 22*j**3 + 2*j - 55*j**3 + 10 + 3*j**2 - 13*j**2.
-2*(j - 1)*(j + 1)*(j + 5)
Let w = -80/32097 + 228272/10699. What is z in -64/3*z**3 - 2/3*z**5 - w*z**2 + 0*z - 20/3*z**4 + 0 = 0?
-4, -2, 0
Let r(o) be the third derivative of o**8/1680 + 32*o**7/525 + 227*o**6/120 + 11*o**5 - 75*o**4/2 + 206*o**2 - 2. Find m such that r(m) = 0.
-30, -5, 0, 1
Let b(p) be the second derivative of -p**4/36 - 397*p**3/9 - 157609*p**2/6 + 2*p - 1790. Factor b(n).
-(n + 397)**2/3
Let f be (-2 - -3) + (2 - 4) - 25/(-25). Let q be 5/(-6) + 14/12. Factor f + q*i - 1/9*i**2.
-i*(i - 3)/9
Let c be (-128155)/(-14839)*(-1)/(-3)*(-18)/(-15). Let 234/11 - 2/11*x**3 + c*x**2 - 174/11*x = 0. Calculate x.
3, 13
Factor -62*l - 95/3*l**2 + 92/3*l**3 + 1/3*l**4 + 0.
l*(l - 2)*(l + 1)*(l + 93)/3
Let p(a) be the first derivative of a**4/30 - 524*a**3/45 + 213. Let p(t) = 0. Calculate t.
0, 262
Factor -466060 + 1100877 + k**2 + 318*k + 2117464 + 3000*k.
(k + 1659)**2
Let g be (1 - (-2605)/(-35)) + (-9)/(-21). Let n = 295/4 + g. Find r such that 0*r + n*r**2 - 1/4*r**3 + 0 = 0.
0, 3
Let i(r) be the first derivative of -17*r**6/180 + r**5/4 + r**4/6 - 21*r**3 + 68. Let c(y) be the third derivative of i(y). Factor c(p).
-2*(p - 1)*(17*p + 2)
Suppose 0 = 2*d - r + 6*r - 18, 5*d - 18 = r. Factor 6 - 30*t + 15*t**d - 99*t**2 - 54*t**3 + 5 - 11.
3*t*(t - 5)*(t + 1)*(5*t + 2)
Let f(h) = 3*h**2 + 675*h - 1924. Let i(a) = -a**2 - 7. Let k(s) = -f(s) - 8*i(s). Let k(m) = 0. Calculate m.
3, 132
Let k be ((-50)/80)/(17/(-204)). Let -k*r - 3/2*r**3 + 9*r**2 + 0 = 0. What is r?
0, 1, 5
Solve -157*f + 24649 + 1/4*f**2 = 0.
314
Let x(a) be the first derivative of a**6/42 + 5*a**5/7 + 51*a**4/7 + 580*a**3/21 + 200*a**2/7 - 4507. Suppose x(t) = 0. Calculate t.
-10, -4, -1, 0
Let c(k) = -6*k**3 + 2499*k**2 - 312492*k. Let w(z) = -z**3 - z**2 + 8*z. Let q(n) = -c(n) + w(n). Find h, given that q(h) = 0.
0, 250
Let c(b) = -2*b + 52. Let s be c(23). Let t(m) = 9*m**4 + 3*m**3 - 6*m. Let d(a) = 8*a**4 + 4*a**3 - 7*a. Let y(i) = s*d(i) - 5*t(i). Factor y(r).
3*r*(r - 1)*(r + 2)**2
Let u(w) be the third derivative of -w**6/60 + 47*w**5/10 - 1559*w**4/12 + 473*w**3 + 4*w**2 + 2*w + 12. What is b in u(b) = 0?
1, 11, 129
Let f(d) = d**3 + 25*d**2 + 43*d + 23. Let g be f(-23). Solve -g*l + 163*l + l**2 + 2*l**2 - 6*l**2 - 281*l - 3675 = 0.
-35
Let h(v) = 780*v**3 + 1696*v**2 + 1020*v + 104. Let r(p) = -13*p - 144*p - 20 - 168*p**3 + 48*p**3 - 261*p**2 + 4. Let c(u) = -5*h(u) - 32*r(u). Factor c(x).
-4*(x + 1)**2*(15*x + 2)
Let r be -10 + 0 + 4 + -5. Let l be r/165*(-1 + -2). Solve l*z**4 + 1/5*z**3 + 0 - 2/5*z**2 + 0*z = 0 for z.
-2, 0, 1
Let 1616*g**2 + 748*g**3 - 1632*g + 1169*g**3 - 1204*g**4 + 139*g**3 - 12*g**5 = 0. What is g?
-102, -1, 0, 2/3, 2
Let h be 34/(-51) + 835/(-75) + 12. Suppose -1/5*b**5 - 1/5*b**2 + 3/5*b**3 + 0 + h*b**4 - 2/5*b = 0. Calculate b.
-1, 0, 1, 2
Let y be (-15*2/18)/(10/(-72)). Suppose -y*u - u = -26. Factor 1/11*l**u - 2/11 - 1/11*l.
(l - 2)*(l + 1)/11
Let b be 2/(-24) + 36868/624 + -59. Determine m so that b*m - 66*m**3 - 363/2*m**4 - 6*m**2 + 0 = 0.
-2/11, 0
Let b(h) = 12282*h**3 - 11904*h**2 - 387*h - 3. Let j(w) = 122817*w**3 - 119040*w**2 - 3873*w - 30. Let p(u) = -21*b(u) + 2*j(u). Factor p(f).
-3*(f - 1)*(64*f + 1)**2
Suppose -14*f - 6 = -15*f. Let l be -20*1/((-15)/f). Let 13*o**2 - 1 - 5 - 15*o**2 + l*o = 0. What is o?
1, 3
Let r be ((-2)/((-12)/(-9)))/(15/(-20)). Factor -441 + 550*l**r + 50 + 195*l - 57*l**3 + 21 + 42*l**3.
-5*(l - 37)*(l + 1)*(3*l - 2)
Find f, given that 10*f**2 + 183*f**3 + 200 + 215*f + 192*f**3 - 380*f**3 = 0.
-5, -1, 8
Let v(f) be the third derivative of f**5/20 + 1387*f**4/2 + 3847538*f**3 + f**2 + 361*f - 2. Factor v(n).
3*(n + 2774)**2
Let u(z) = -z + 1. Let j be u(-1). Let b = -567 - -567. Let b*f + 0 - 1/8*f**j + 1/4*f**3 + 3/8*f**4 = 0. What is f?
-1, 0, 1/3
Let m(n) be the second derivative of n**6/15 - 13*n**5/5 - 28*n**4/3 - 10919*n. Factor m(s).
2*s**2*(s - 28)*(s + 2)
Let g(y) be the first derivative of 12 + 1/3*y**6 + 1/2*y**4 - 2*y**3 + 0*y + 6/5*y**5 - 2*y**2. Factor g(j).
2*j*(j - 1)*(j + 1)**2*(j + 2)
Let r be ((-291)/(-6) - 50)/(0 - 2). Factor -1/4*q**4 + 3/2 - 17/4*q - r*q**3 + 15/4*q**2.
-(q - 1)**3*(q + 6)/4
Let b be 1/(8/48*-10 - -2). Let p(o) be the second derivative of -b + 0*o**2 - 1/3*o**3 + o + 1/6*o**4. Find v such that p(v) = 0.
0, 1
Let y(q) be the third derivative of -q**7/420 + 7*q**6/240 - 7*q**5/60 + q**4/6 + 2197*q**2. Let y(x) = 0. What is x?
0, 1, 2, 4
Suppose -16*f = -21*f + 2*v + 579, 0 = 2*f + 2*v - 240. Factor 244*u**2 - 50*u + 171 - f + 371*u + 447*u + 20*u**3 + 90.
4*(u + 6)**2*(5*u + 1)
Let d = 355230 + -355230. Suppose 5*f**2 + d - 5/3*f**5 + 0*f + 5/3*f**3 - 5*f**4 = 0. Calculate f.
-3, -1, 0, 1
Factor -1823*p**2 - 505*p - 1837*p**2 + 1560 + 3655*p**2.
-5*(p - 3)*(p + 104)
Let n be 14/(-1)*(5 + (-15)/6). Let o = -33 - n. Factor -15*i**2 - 12*i**3 + 32*i - 2*i**4 - 2*i**3 + 31*i**o + 4*i**4.
2*i*(i - 4)**2*(i + 1)
Let i(w) = -24*w**4 - 63*w**3 + 3155*w**2 + 11871*w. Let j(b) = -2*b**4 - 5*b**3 + 263*b**2 + 989*b. Let m(l) = -6*i(l) + 74*j(l). Factor m(f).
-4*f*(f - 14)*(f + 5)*(f + 7)
Let g(s) = 9*s**4 - 45*s**3 - 44*s**2 + 304*s. Let w(r) = -11*r**4 + 44*r**3 + 41*r**2 - 305*r. Let j(o) = -5*g(o) - 4*w(o). Factor j(m).
-m*(m - 50)*(m - 2)*(m + 3)
Let r = -542 - -572. Suppose -r = -114*s + 99*s. Solve -2/3*q - 4/9 - 2/9*q**s = 0 for q.
-2, -1
Let y be (1/(-10))/((-622)/7464). Let w be ((-2)/5)/(4/(-6)). Determine h so that 0 + y*h**2 - 3/5*h**3 - w*h = 0.
0, 1
Let c(t) be the third derivative of 0*t**4 + 0*t**5 + 0 + 1/840*t**7 + 0*t**3 + 47*t + 1/480*t**6 - 2*t**2. Determine b, given that c(b) = 0.
-1, 0
Let r(n) be the third derivative of n**7/70 - 1909*n**6/120 + 60419*n**5/12 + 507529*n**4/24 + 101761*n**3/3 + 851*n**2. Let r(m) = 0. Calculate m.
-1, -2/3, 319
Factor -8/3 + 8/3*g - 2/3*g**4 + 2*g**2 - 4/3*g**3.
-2*(g - 1)**2*(g + 2)**2/3
Factor 256*w + 960 + 68/3*w**2 + 2/3*w**3.
2*(w + 10)*(w + 12)**2/3
Let i(j) be the second derivative of j**7/189 + j**6/9 - 13*j**5/15 - 13*j**4/27 + 79*j**3/9 + 19*j**2 + 89*j - 2. Solve i(t) = 0.
-19, -1, 3
Let g = 7484 - 7481. Let y(j) be the third derivative of 0*j**5 - 1/840*j**6 - 19*j**2 + 1/21*j**g + 0 + 0*j + 1/56*j**4. Factor y(z).
-(z - 2)*(z + 1)**2/7
Let l be (-24)/(-48) + 6/4. Let m(q) = -q**2 - 56*q - 495. Let g be m(-11). Factor 4/19*k**4 + 0*k + g*k**l + 0*k**3 + 10/19*k**5 + 0.
2*k**4*(5*k + 2)/19
Factor -49*k**3 - 261*k**2 - k + 97*k**2 + 4*k**4 - 83*k - 27*k**3.
4*k*(k - 21)*(k + 1)**2
Let d(t) = 2*t - 11. Let u be d(5). Let p = u - -5. Factor 20*q**2 + 40*q**3 - 12*q**5 + 52*q**4 - 104*q**3 - p*q**2.
-4*q**2*(q - 2)**2*(3*q - 1)
Let n(u) be the third derivative of 0*u**3 + 0 - 3*u**2 + 29*u - 1/20*u**5 + 1/24*u**4 - 1/24*u**6 + 1/84*u**8 + 1/70*u**7. Suppose n(i) = 0. What is i?
-1, 0, 1/4, 1
Let k(h) be the second derivative of -15*h**4/4 + 190*h**3/3 - 80*h**2 - h + 394. Let k(a) = 0. What is a?
4/9, 8
Let 1085*c**5 - 39015 - 2640*c**4 - 15485*c**3 - 66555*c - 591*c**5 - 45405*c**2 - 674*c**5 = 0. Calculate c.
-3, -17/6
Let z(m) be the second derivative of m**4/4 + 1465*m**3 + 6438675*m**2/2 + 39*m + 34. Let z(o) = 0. What is o?
-1465
Suppose 315 + 261 = 32*a. Solve 9*d - 22*d + 3*d**5 - a*d**4 - 19*d - 1664*d**2 + 5*d + 24*d**3 + 1682*d**2 = 0 for d.
-1, 0, 1, 3
Let t(u) = -10*u - 121. Let d be t(-13). Factor -2*x**5 + d*x**5 - 6*x**2 + 0*x**5 + x**4 - 25*x**3 - 13*x**4.
x**2*(x - 3)*(x + 1)*(7*x + 2)
Let l(n) = -n**4 + 2*n**3 - 5*n**2 + 34*n. Let r(a) = -4*a**3 + a**2 - 2*a. Let q(p) = 5*l(p