 of d**6/300 - 28*d**5/25 + 784*d**4/5 - 175616*d**3/15 + 372*d**2. Factor s(c).
2*(c - 56)**3/5
Let m(v) be the first derivative of 3*v**4/8 - 4*v**3 - 69*v**2/4 + 315*v - 3658. Factor m(y).
3*(y - 7)*(y - 6)*(y + 5)/2
Let i(p) be the first derivative of -3*p**5 + 0*p - 31*p**3 - 147 - 111/4*p**4 - 9*p**2 + 7/2*p**6. Suppose i(l) = 0. What is l?
-1, -2/7, 0, 3
Let q(j) = -12*j**3 + 26*j**2 + 22*j - 26. Let k(g) = 7*g**3 - 13*g**2 - 13*g + 13. Let a(o) = 5*k(o) + 3*q(o). Suppose a(c) = 0. What is c?
-1, 1, 13
Let r(q) be the second derivative of q**6/200 + q**5/25 + q**4/8 + q**3/5 + 3*q**2/2 + 5*q. Let u(w) be the first derivative of r(w). What is b in u(b) = 0?
-2, -1
Let m(j) be the third derivative of j**6/1080 - j**5/45 - 5*j**4/18 - 55*j**3/6 - 42*j**2. Let l(f) be the first derivative of m(f). Let l(t) = 0. What is t?
-2, 10
Let i(o) = -o**2 - 17*o - 58. Let b be i(-11). Let g be ((-3)/(-1))/(17/b + -1). Factor -g*k - k**2 - 4/3.
-(k + 2)*(3*k + 2)/3
Let f = 12279 + -12277. Let y(k) be the first derivative of -32 - 5/8*k**f - 1/12*k**3 - k. Determine i, given that y(i) = 0.
-4, -1
Let z(d) = -11*d**3 - 565*d**2 - 189*d + 767. Let g be z(-51). Factor 8/5 + 3*v - 1/5*v**3 + 6/5*v**g.
-(v - 8)*(v + 1)**2/5
Let m = 2345 + -2280. Let h(l) = 3*l - 190. Let c be h(m). Determine n so that 56/11*n + 2/11*n**c - 16/11 - 76/11*n**2 + 50/11*n**3 - 16/11*n**4 = 0.
1, 2
Let i be ((-264)/(-28))/((-10)/350). Let v be -3*(-11)/i*-4394. Factor 507/5*z - 39/5*z**2 + 1/5*z**3 - v.
(z - 13)**3/5
Let f be 6/(72/82) + (-2)/(-12). Let g be (-4)/6*f/((-98)/12). Factor -g*u**3 + 0 + 1/7*u**4 + 0*u + 4/7*u**2.
u**2*(u - 2)**2/7
Let d(z) be the second derivative of -z**7/84 - z**6/120 + z**5/5 - z**4/16 - 3*z**3/4 - 5*z + 695. Find b such that d(b) = 0.
-3, -1, 0, 3/2, 2
Let a be ((-12)/15 + -1)*(-24 + 15988/672). Factor -3*g - 15/2 + a*g**2.
3*(g - 10)*(g + 2)/8
Let c(m) be the third derivative of m**5/20 - 25*m**4/8 + 23*m**3 - 1251*m**2. Suppose c(t) = 0. Calculate t.
2, 23
Let m(r) be the second derivative of 0*r**2 + 1/10*r**6 - 53*r - 1 + 0*r**3 - 3/10*r**5 - 3/4*r**4. Factor m(z).
3*z**2*(z - 3)*(z + 1)
Suppose -14*s = 4190 - 4218. Let f(x) be the first derivative of -14 - 15/4*x**4 + 20/3*x**3 + 5/2*x**s - 10*x. Solve f(c) = 0 for c.
-2/3, 1
Let x = 2/289373 + -1006439300/868119. Let t = x + 1161. Factor t*z**2 - z - 2/3.
(z - 1)*(5*z + 2)/3
Suppose -684 = -31*y + 12*y. Let z be ((-1)/(-5))/(y/540). Factor 4/3*h - 1/6*h**2 - 5/6*h**z + 1/6*h**5 + 1/6*h**4 - 2/3.
(h - 1)**3*(h + 2)**2/6
Factor -8/7*o + 2/7*o**2 + 2/7*o**3 - 8/7.
2*(o - 2)*(o + 1)*(o + 2)/7
Let k be ((-4)/(-11))/(-2) - 48/(-22). Factor 16*m**4 + m**3 - 2*m**2 - 10*m**3 + 3*m**k + m**3.
m**2*(4*m - 1)**2
Let b(u) be the third derivative of u**6/1320 + 11*u**5/60 - u**4/264 - 11*u**3/6 - 3554*u**2. Find c such that b(c) = 0.
-121, -1, 1
Let c be (-42)/15 + 16/20. Let a be ((-8)/(-6))/(c/(-3)). Factor 6*u**a + 11*u - 4*u**3 - u**2 - u**2 - 3*u.
-4*u*(u - 2)*(u + 1)
Suppose 670*t - 6*x = 674*t + 28, -4*t + 26 = -3*x. Suppose 3/4*b**t + 15/4 - 9/2*b = 0. What is b?
1, 5
Let q(z) = -z**3 + 19*z**2 - 23*z + 105. Let i be q(5). What is h in -i*h + 1/7*h**4 + 1293/7*h**2 + 1156/7 - 10*h**3 = 0?
1, 34
Let i be (1/(-1))/(6*14/672). Let n be (45/(-144))/(2/i). Find o, given that 1/4*o**3 + 7/4*o - n*o**2 - 3/4 = 0.
1, 3
Let u(r) be the third derivative of 2*r**7/105 - r**6/5 + r**5/5 + 5*r**4/3 + 9070*r**2. Factor u(l).
4*l*(l - 5)*(l - 2)*(l + 1)
Factor 975/2 + 164*d + 1/2*d**2.
(d + 3)*(d + 325)/2
Let 221/2*w - 283/2*w**2 + 261 + 1/2*w**4 + 19/2*w**3 = 0. What is w?
-29, -1, 2, 9
Let r(z) be the first derivative of 5*z**4/4 + 95*z**3 + 1800*z**2 - 13500*z - 529. Factor r(k).
5*(k - 3)*(k + 30)**2
Let i(d) be the first derivative of -2*d**5/15 + 404*d**4/3 - 321548*d**3/9 - 328856*d**2 - 993894*d + 3545. Factor i(c).
-2*(c - 407)**2*(c + 3)**2/3
Let k(y) = -8*y**3 + 7*y**2 - 37*y + 26. Let z(v) = -6*v**3 + 10*v**2 - 36*v + 24. Let x(j) = -4*k(j) + 6*z(j). Factor x(a).
-4*(a - 5)*(a - 2)*(a - 1)
Let q be (9 + -2855)*1/(-2). Let m = q + -15648/11. Solve -1/11*n**3 - 6/11 + m*n + 2/11*n**2 = 0 for n.
-2, 1, 3
Let l(c) be the third derivative of c**7/1050 - 31*c**6/600 - 43*c**5/75 - 71*c**4/30 - 24*c**3/5 + 183*c**2. Factor l(j).
(j - 36)*(j + 1)*(j + 2)**2/5
Let c be ((-6)/2 - -3) + -21*(-16)/168. Factor -1/6*p**c - 17/6 + 3*p.
-(p - 17)*(p - 1)/6
Let v = 1870166 + -1870164. Factor -3/2*l**v - 1/2*l**4 + 0 - 1/2*l - 3/2*l**3.
-l*(l + 1)**3/2
Let t(c) = 59*c**2 - 3096*c + 2052. Let n(b) = 38*b**2 - 2064*b + 1368. Let p(g) = -8*n(g) + 5*t(g). Factor p(j).
-3*(j - 114)*(3*j - 2)
Let o(m) be the third derivative of -m**7/350 + 3*m**6/20 - 297*m**5/100 + 121*m**4/5 - 113*m**2 - 5*m. Suppose o(t) = 0. What is t?
0, 8, 11
Let 2 - 10/9*r**2 - 2/9*r**3 - 2/3*r = 0. What is r?
-3, 1
Suppose 52*k - 44/3*k**2 - 60 + 4/3*k**3 = 0. Calculate k.
3, 5
Suppose 5*r = 3*y + 30, 0 = 7*r - 8*r + 5*y + 28. Factor -7*a**2 + 5*a**4 + 294*a**3 + 2*a**2 + 300*a**r - 10*a - 584*a**3.
5*a*(a - 1)*(a + 1)*(a + 2)
Let y = 6 + -3. Let s(h) be the first derivative of -h**4 - 17 - 4*h**3 + 5*h**3 + 3*h**y + h - 13*h + 2*h**2. Factor s(g).
-4*(g - 3)*(g - 1)*(g + 1)
Determine h, given that 28*h**5 + 18*h**4 + 1950*h - 1977*h - 31*h**5 + 48*h**2 - 42*h**3 + 6 = 0.
1, 2
Let x(d) be the third derivative of 9*d**8/112 - 37*d**7/70 - d**6 - 4*d**2 + 181*d. Factor x(u).
3*u**3*(u - 5)*(9*u + 8)
Find a such that -78/7 - 30/7*a**2 + 3/7*a**3 - 111/7*a = 0.
-2, -1, 13
Let d(j) be the second derivative of j**4/21 - 116*j**3/21 + 330*j**2/7 - 71*j - 2. Suppose d(m) = 0. Calculate m.
3, 55
Suppose 148 = -3*i + 154. Let j be (1 - i/6)/((-32)/(-24)). What is g in -1/6 - 1/3*g**2 + j*g = 0?
1/2, 1
Let i(r) be the third derivative of 9*r**2 - 1/216*r**4 + 0 - 1/540*r**5 - 3*r + 1/9*r**3. Factor i(g).
-(g - 2)*(g + 3)/9
Let x(v) be the third derivative of 0*v**3 + 2/105*v**7 + 0*v**4 + 0*v - 2/15*v**5 - 1/30*v**6 - 54 - 2*v**2. Suppose x(o) = 0. Calculate o.
-1, 0, 2
Let g(k) be the second derivative of -k**7/189 + 19*k**6/135 - 13*k**5/10 + 11*k**4/2 - 10*k**3 - 1825*k. Determine s so that g(s) = 0.
0, 3, 10
Let k(b) = 12*b**3 + 88*b**2 + 424*b - 12. Let d(p) = 2*p**3 + p - 3. Let n(z) = -4*d(z) + k(z). Find f such that n(f) = 0.
-15, -7, 0
Let j(u) be the second derivative of u**6/15 + 142*u**5/5 + 141*u**4 + 844*u**3/3 + 281*u**2 - 10*u - 392. Factor j(k).
2*(k + 1)**3*(k + 281)
What is o in -64*o + 4*o**3 - 2037*o**2 - 6*o**3 + 2011*o**2 - 40 = 0?
-10, -2, -1
Let y(g) = -35*g + 30. Let b be y(-18). Let v be 25584/b + (-24)/60. Let 0 - 56/11*h**5 + 32/11*h + 234/11*h**3 + 212/11*h**2 - v*h**4 = 0. What is h?
-8, -2/7, -1/4, 0, 1
Let j(t) = 237*t - 4503. Let x be j(19). Factor x*k + 3/2*k**3 + 0 + 3/4*k**4 + 0*k**2.
3*k**3*(k + 2)/4
Suppose 55 = -47*x + 91 + 152. Let p(i) be the first derivative of 0*i**4 + 4/5*i**5 - x*i**3 + 4*i**2 - 15 + 0*i. Find c, given that p(c) = 0.
-2, 0, 1
Let c = 18 - 16. Let y(b) = -b**2 + 4 - 10 + 15*b - b**c - 6*b. Let x(z) = -z**2. Let s(g) = -x(g) - y(g). Factor s(h).
3*(h - 2)*(h - 1)
Let z(w) be the first derivative of 26*w**5/75 + 11*w**4/10 + 8*w**3/9 - 3647. Determine l, given that z(l) = 0.
-20/13, -1, 0
Let s(h) = -h**3 - 2*h**2 - 701*h. Let t be s(0). Let w(o) be the first derivative of t*o + 2/25*o**5 + 0*o**4 - 8/15*o**3 - 39 + 0*o**2. Factor w(b).
2*b**2*(b - 2)*(b + 2)/5
Let d = 834 + -159. Let z = d + -4723/7. Suppose -18/7*g**3 - 2*g**2 - 4/7*g - z*g**5 - 10/7*g**4 + 0 = 0. What is g?
-2, -1, 0
Let c = 2146522 + -15025648/7. What is x in -c*x**3 + 9/7 + 9/7*x**2 + 24/7*x = 0?
-1, -1/2, 3
Let z(v) be the first derivative of -v**6/96 - 17*v**5/240 - v**4/6 - v**3/6 + 10*v**2 + 50. Let i(a) be the second derivative of z(a). Factor i(s).
-(s + 1)*(s + 2)*(5*s + 2)/4
Let y(q) be the third derivative of 5*q**8/336 + q**7/21 - q**6/2 - 3*q**5/2 + 45*q**4/8 + 213*q**2. Factor y(w).
5*w*(w - 3)*(w - 1)*(w + 3)**2
Suppose -2/17*s**4 - 376/17*s - 184/17 - 56/17*s**3 - 246/17*s**2 = 0. What is s?
-23, -2, -1
Let p = 24868/5 - 4972. Let z(q) be the first derivative of 0*q**3 + 0*q**2 + p*q**5 - 1/3*q**6 + 0*q - 2*q**4 - 29. Factor z(d).
-2*d**3*(d - 2)**2
Let i(m) be the first derivative of -m**4/36 + m**3/9 - 206