6024/7*x + 788/7*x**3 + 76826/7*x**2 + 2/7*x**4 + 78408/7 = 0.
-198, 1
Let d(b) be the third derivative of -1/168*b**8 + 0*b**4 + 3*b**2 + 0 + 0*b**6 - 4*b - 1/35*b**7 + 0*b**3 + 0*b**5. Solve d(j) = 0 for j.
-3, 0
Let n = 170995 - 170992. Factor 0*i + 5*i**2 + 9/4*i**n + 0 + 1/4*i**4.
i**2*(i + 4)*(i + 5)/4
Let c be ((-6448)/(-1092))/(500/75) + (-2)/7. Determine f so that 33/5*f**2 - 6*f + 0 - c*f**3 = 0.
0, 1, 10
Find m, given that 156 - 58*m**2 - 190*m - 582*m + 57*m**2 - 3*m**2 + 620 = 0.
-194, 1
Let q(r) be the first derivative of r**4/2 + 106*r**3/3 + 52*r**2 + 5819. Factor q(v).
2*v*(v + 1)*(v + 52)
Factor 19/2*z + 15/4*z**2 + 7 - 1/8*z**4 + 1/8*z**3.
-(z - 7)*(z + 2)**3/8
Solve -5*c**5 + 44*c - 4*c**4 - 21*c + 7*c**5 - 38*c**3 + 37*c + 60*c + 16*c**2 = 0 for c.
-3, -2, 0, 2, 5
Let l(t) be the first derivative of -5*t**2 + 130 - 2/3*t**3 - 8*t. Factor l(a).
-2*(a + 1)*(a + 4)
Suppose -4*w + 1 = 2*l + 17, -4*l + 4*w = -28. Factor -19*v - 5*v + 484*v**l - 488*v**2 + 108.
-4*(v - 3)*(v + 9)
Let u(k) be the second derivative of -1/3*k**4 + 0 + 70*k + 0*k**2 + 1/5*k**5 + 0*k**3. Factor u(t).
4*t**2*(t - 1)
Let j(z) be the first derivative of z**2 - 11/4*z**4 + 70 + 5/3*z**3 + 4/5*z**5 + 0*z. Let j(y) = 0. What is y?
-1/4, 0, 1, 2
Let q = 53 - 79. Let u be ((-4)/(-5))/(q/(-65)). Suppose 3*r**3 + u*r**3 - 12*r + 7*r + 0*r**3 = 0. Calculate r.
-1, 0, 1
Factor 126 + 120*g**2 - 25*g**2 + 57*g - 98*g**2.
-3*(g - 21)*(g + 2)
Find p, given that 153/2*p**4 - 93/2*p**2 + 93*p - 27/4*p**5 - 345/4*p**3 - 30 = 0.
-1, 2/3, 1, 10
Factor 839*c**4 - 436*c**3 + 40*c**2 + 977*c**4 - 1456*c**4.
4*c**2*(9*c - 10)*(10*c - 1)
Let b(t) be the first derivative of -5*t**4 + 11*t**3/3 + 19*t**2/4 - t/2 - 1811. Determine n, given that b(n) = 0.
-1/2, 1/20, 1
Let h(n) be the second derivative of 1 + 1/28*n**4 - 2*n - 3/2*n**2 + 3/7*n**3. Factor h(l).
3*(l - 1)*(l + 7)/7
Let j(q) be the third derivative of -q**2 + 1/12*q**5 + 30*q**3 + 0*q - 5/2*q**4 - 14. Solve j(z) = 0 for z.
6
Let v(o) be the first derivative of 4*o**5 + 805*o**4/4 - 1460*o**3/3 + 425*o**2/2 + 210*o - 181. Let v(s) = 0. What is s?
-42, -1/4, 1
Let d(r) be the third derivative of -5/51*r**4 - 100/51*r**3 - 1/510*r**5 + 0*r - 90*r**2 + 0. Let d(l) = 0. What is l?
-10
Let j(o) = -5*o**4 + 15*o**2 - 10*o - 3. Let z(a) = 15*a**4 - 45*a**2 + 30*a + 10. Let g be 2 + 4 + 36/(-12). Let p(v) = g*z(v) + 10*j(v). Factor p(t).
-5*t*(t - 1)**2*(t + 2)
Let g(f) be the third derivative of 0*f**3 + f**2 - 5 - 1/48*f**5 + 0*f + 1/48*f**4 + 1/240*f**6. Factor g(n).
n*(n - 2)*(2*n - 1)/4
Let q(a) = -8*a - 117. Let n be q(-15). Factor -60*o**n - 6 + 32*o + 64*o**2 - 28*o - 2.
-4*(o - 1)*(3*o + 1)*(5*o - 2)
Let n be (-78)/(-33) + (1/33)/(140/(-1680)). Factor -j**3 - j + 0 - 11/6*j**n - 1/6*j**4.
-j*(j + 1)*(j + 2)*(j + 3)/6
Let d(y) be the first derivative of -y**7/840 + y**6/90 + 82*y**3/3 + 19. Let i(u) be the third derivative of d(u). Determine w so that i(w) = 0.
0, 4
Let p(b) be the second derivative of b**6/15 - 5*b**5/2 + 43*b**4/6 + 23*b**3 + 313*b + 3. Factor p(i).
2*i*(i - 23)*(i - 3)*(i + 1)
Let o(l) = l**3 + 8*l**2 - 12*l + 13. Let v be o(-9). Let y be (-43*5/v + 5)*-2. Solve -y*m**2 + 0 - 9/4*m = 0.
-3, 0
Let b(i) = 1. Let x(j) be the third derivative of j**5/12 - 85*j**4/24 + 55*j**3/3 - j**2 - 13. Let u(l) = -30*b(l) + x(l). Solve u(w) = 0.
1, 16
Let w be ((-788)/6698)/(4/(-357)). Find u such that -1/2*u**4 + 4*u**3 - w*u**2 - 4 + 11*u = 0.
1, 2, 4
Suppose -26*w = -24*w - 96. Factor 15*o**4 - 13*o**3 + w*o - 25*o**3 + 66*o**2 - 55*o**3 - 3*o**3 - 33*o**3.
3*o*(o - 8)*(o - 1)*(5*o + 2)
Let n(h) = -4148*h - 232286. Let t be n(-56). Solve t*q**2 + 0 + 0*q - 2/9*q**5 - 2/9*q**4 + 2*q**3 = 0.
-3, -1, 0, 3
Let w(q) be the third derivative of 118*q**2 + 0*q + 1/210*q**6 + 0*q**3 + 1/3*q**4 + 0 + 1/7*q**5. Solve w(z) = 0.
-14, -1, 0
Let h be (-9 + 0)/(63*43/(-387)). Factor 12/7*v - h - 3/7*v**2.
-3*(v - 3)*(v - 1)/7
Let p be 437/(-912) + -1 + 5/2 + -1. Let s(u) be the second derivative of -2*u**2 + 0 - 3*u + 1/3*u**3 - p*u**4. Let s(i) = 0. Calculate i.
4
Let g(j) be the third derivative of j**5/100 + 211*j**4/40 - 106*j**3/5 + 1265*j**2. Factor g(v).
3*(v - 1)*(v + 212)/5
Factor -5*s**4 + 6233*s**2 - 62073*s**2 + s**4 + 438*s**3 + 666*s**3 + 3114752*s - 45728*s**2.
-4*s*(s - 92)**3
Factor -3391 - 7425 - 4*c**4 - 1572*c**2 + 6096*c + 136*c**3 + 976*c.
-4*(c - 13)**2*(c - 4)**2
What is a in -896/9*a + 14/9*a**3 - 200/9 - 682/9*a**2 = 0?
-1, -2/7, 50
Let n(u) be the second derivative of -4*u**6/5 - 17*u**5 - 71*u**4 + 416*u**3 - 640*u**2 + 2*u - 72. Let n(a) = 0. What is a?
-8, 5/6, 1
Suppose -5*c + z + 29 = 0, -15 = -c + 3*z + 2. Factor -46*k**2 - 23*k**2 + 2*k**4 - 99*k - 42 - c*k**3 - 4*k**3 + k**4.
3*(k - 7)*(k + 1)**2*(k + 2)
Factor 137/3*b + 0 - 1/3*b**2.
-b*(b - 137)/3
Let a be (-3)/(-2) - ((-1034)/(-385))/(8/(-30)). Factor -a - 81/7*r - 27/7*r**2 - 3/7*r**3.
-3*(r + 3)**3/7
Let d be (-2)/(-4)*-10 + 10/(30/23). Let r(w) be the first derivative of -d*w + 5/2*w**2 - 1/12*w**4 - 1 - 2/3*w**3. Find n such that r(n) = 0.
-8, 1
Let w(b) be the second derivative of -10/3*b**4 + 5*b**3 + 2 + 3*b - 1/6*b**6 + 45/2*b**2 - 3/2*b**5. Suppose w(m) = 0. What is m?
-3, -1, 1
Let t be (-3051)/(-30) - (-954)/(-3180). Factor t - 78/5*n + 3/5*n**2.
3*(n - 13)**2/5
Let w be (505/(-125) + 4)/(42/(-2940)). Factor -12/5*t**3 + 2/5*t**4 + 0 + 0*t - w*t**2.
2*t**2*(t - 7)*(t + 1)/5
Let k(v) be the first derivative of -v**5/10 + 9*v**4 - 324*v**3 + 5832*v**2 - 52488*v - 9869. Factor k(f).
-(f - 18)**4/2
Let u(l) be the first derivative of -l**4/8 + 5*l**3/4 + 21*l**2/2 + 28*l + 21. Let w(y) be the first derivative of u(y). Find m, given that w(m) = 0.
-2, 7
Determine n, given that 0 - 1839/5*n - 3/5*n**2 = 0.
-613, 0
Solve 132 + 129 - 261 + 4*o**4 - 395*o**3 - 632*o**2 - 233*o**3 = 0 for o.
-1, 0, 158
Let m(b) be the first derivative of b**6/30 - 5*b**5/3 - 53*b**4/6 - 18*b**3 + 11*b**2/2 + 3*b - 46. Let s(y) be the second derivative of m(y). Solve s(d) = 0.
-1, 27
Let m be 1/5 - 36440/(-50). Let f be 4/6*m/324. Factor 2*p**2 - p**3 - 1/2*p**4 - f + p.
-(p - 1)**2*(p + 1)*(p + 3)/2
Let z(q) be the second derivative of -q**6/15 + 17*q**5/10 - 7*q**4/3 - 32*q**3/3 + 2150*q + 1. Suppose z(v) = 0. What is v?
-1, 0, 2, 16
Suppose 8268 = 442*p + 1625*p. Let f be (-1 - -1)*(-3)/(-6). Factor 1/2*h**5 + 3/4*h**p + f*h**3 + 0 + 0*h - 1/4*h**2.
h**2*(h + 1)**2*(2*h - 1)/4
Let j = 650980/3 + -216990. Factor 0 - 2/9*x**2 - j*x.
-2*x*(x + 15)/9
Let a(m) be the second derivative of -m**6/120 - 801*m**5/80 - 71815*m**4/16 - 19873675*m**3/24 - 55828875*m**2/4 - 6700*m. Factor a(w).
-(w + 6)*(w + 265)**3/4
Let f(n) = n**3 - n**2 + n + 1. Let j(r) = -5*r**3 + 37*r**2 - 25*r - 65. Let a = 322 + -321. Let m(y) = a*j(y) + f(y). Factor m(c).
-4*(c - 8)*(c - 2)*(c + 1)
Factor 26*r - 50*r**2 + 5*r**3 + 179 - 70 + 43 - 11*r + 118.
5*(r - 9)*(r - 3)*(r + 2)
Let l(z) be the first derivative of -z**5/180 + z**3/18 + 9*z**2/2 + 4*z - 115. Let y(d) be the second derivative of l(d). Suppose y(u) = 0. What is u?
-1, 1
Let x(g) be the first derivative of 147*g**5/20 + 546*g**4 - 4665*g**3/4 + 1461*g**2/2 - 183*g + 4426. Find a, given that x(a) = 0.
-61, 2/7, 1
Suppose -2/7*f**3 + 0 + 0*f - 310/7*f**2 = 0. Calculate f.
-155, 0
Let p = 1553 - 1551. Let y(z) be the first derivative of 9/16*z**4 + 0*z**p + 34 + 9/20*z**5 + 1/8*z**6 + 0*z + 1/4*z**3. Factor y(t).
3*t**2*(t + 1)**3/4
Factor 2651*i - 26276 + 4*i + 6*i**3 + 1301 - 21*i**2 + 11*i**3 - 20*i**3.
-3*(i - 15)**2*(i + 37)
Let q(r) be the third derivative of 0 - 11/240*r**6 + 148*r**2 - r**4 + 0*r + 0*r**3 + 1/3*r**5 + 1/420*r**7. Find p such that q(p) = 0.
0, 3, 4
Suppose 103 = 16*v + 71. Factor -14*u**3 + 9*u + 16*u - 9*u**2 - 5*u**3 - 2*u**v - 13 + 18*u**3.
-(u - 1)**2*(u + 13)
Let w = -43822333/190848 + -1/63616. Let j = -1444/7 - w. Factor -49/3*n**3 + 8/3 + j*n**2 + 52/3*n.
-(n - 2)*(7*n + 2)**2/3
Determine h, given that -2*h**3 - 23*h**2 + 0*h**2 - h - 33*h - 7 + 3*h**2 - 9 = 0.
-8, -1
Suppose 3*f - 3 = 0, -197 = 2*n - 2*f - 195. Let s(u) be the second derivative of 0*u**2 + 0 + 1/70*u**5 - 8*u + 1/21*u**4 + n*u**3. Factor s(p).
2*p**2*(p + 2)/7
Let b = -3531 + 3535. Let h(l) be the second derivative of -1