s**2 - 3*s**t + 3*s**2 - 2*s - 3*s**3.
-s*(s + 2)*(3*s + 1)
Let x(k) be the second derivative of 9*k - 2*k**3 - 2 + 5/4*k**4 + 0*k**2. Solve x(c) = 0.
0, 4/5
Let i(b) be the second derivative of b**4/4 + 8*b**3/3 - 8*b**2 - 12*b + 1. Let l(d) = d**2 + 2*d - 1. Let f(w) = i(w) - 4*l(w). Factor f(c).
-(c - 6)*(c - 2)
Let k(h) be the first derivative of -h**4/4 + 6*h**3 + 20*h**2 + 224. Factor k(s).
-s*(s - 20)*(s + 2)
Let a be 21126/1680 - (-1 - -4). Let s = a - 75/8. Factor 1/5*h + s*h**2 + 0.
h*(h + 1)/5
Let g(t) be the second derivative of -t**4/6 - 488*t**3/3 - 487*t**2 - 5123*t. Factor g(w).
-2*(w + 1)*(w + 487)
Suppose 0 = -4*i - a + 3, 5*i + 14*a = 19*a - 15. Let o(l) be the first derivative of i*l**2 - 10 + 0*l - 6/5*l**5 - 1/2*l**4 + 4/3*l**3. Factor o(x).
-2*x**2*(x + 1)*(3*x - 2)
Let m(r) be the third derivative of 7/3*r**4 - 4/15*r**7 + 0*r + 0 - 12*r**2 - 43/60*r**6 + 13/10*r**5 + 4/3*r**3. Find v such that m(v) = 0.
-2, -2/7, -1/4, 1
Let -16 + 49/4*m**3 + 113*m - 203*m**2 = 0. Calculate m.
2/7, 16
Let t(d) = -2*d**3 + 88*d**2 + 2177*d + 15062. Let l(i) = -13*i**3 + 529*i**2 + 13060*i + 90373. Let p(s) = -6*l(s) + 38*t(s). Solve p(b) = 0.
-37, -11
Let c(g) = g - 6. Let h be c(8). Factor 0*a**2 - 2980 + 9*a + 3*a**h + 2968.
3*(a - 1)*(a + 4)
Let f(a) be the third derivative of -a**7/2310 - 401*a**6/1320 + a**5/220 + 1205*a**4/264 + 401*a**3/33 + 13235*a**2. Find o, given that f(o) = 0.
-401, -1, 2
Suppose -y - 452 = 344. Let l be 24/(-32) + y/(-80). Factor -l*o**2 + 16*o**3 + 6/5*o + 0 + 32/5*o**4.
2*o*(o + 3)*(4*o - 1)**2/5
Factor 9*f**3 - f**4 - 218*f**2 - 29*f**3 + 119*f**2.
-f**2*(f + 9)*(f + 11)
Factor -272/7*u - 9248/7 - 2/7*u**2.
-2*(u + 68)**2/7
What is n in -1552*n**2 - 26*n**4 - 4*n**4 - n**4 + 3*n**4 + 24*n**4 - 784*n**3 = 0?
-194, -2, 0
Let t(v) = 8*v**2 + 4*v - 10. Let z(b) = 7*b**2 + 5*b - 8. Let u = 72 + -68. Let i(a) = u*t(a) - 5*z(a). Factor i(d).
-3*d*(d + 3)
Let t(h) = -55*h**4 + 2675*h**3 + 477915*h**2 + 28674005*h + 28198745. Let v(g) = -4*g**4 - g**2 - g - 1. Let l(f) = t(f) - 15*v(f). Factor l(m).
5*(m + 1)*(m + 178)**3
Let f(o) be the first derivative of -43/8*o**2 - 104 + 1/16*o**4 - 5/3*o**3 - 11/2*o. Factor f(s).
(s - 22)*(s + 1)**2/4
Let v be (-51)/45 - ((-1590)/(-75) - 24). Factor -4/3*y**2 + 0 - v*y**3 - 1/3*y**4 + 0*y.
-y**2*(y + 1)*(y + 4)/3
Let o(q) = -2*q + 25. Let t be o(-10). Factor -3*i**5 - 144*i**3 + i**5 - 500*i**2 - t*i**4 + 692*i**2 - i**5.
-3*i**2*(i - 1)*(i + 8)**2
Let t(j) be the second derivative of -j**5/20 - 1315*j**4/12 - 2624*j**3/3 - 2622*j**2 + 3*j - 962. Suppose t(o) = 0. Calculate o.
-1311, -2
Suppose c = -r + 527, 1930 = 3*c - r + 369. Let q = c - 519. Let 4/13*m**2 - 2/13*m**4 + 0 + 2/13*m**q + 0*m = 0. What is m?
-1, 0, 2
Let x(s) be the third derivative of s**6/540 - s**5/90 - s**4/27 - 6593*s**2. Suppose x(d) = 0. What is d?
-1, 0, 4
Let u = 11240/19 + -212893/95. Let l = u - -1650. Factor -3 - 12/5*j + l*j**2.
3*(j - 5)*(j + 1)/5
Let d be (36/(-1500))/((-24)/20). Let z(p) be the second derivative of 0*p**4 + 1/210*p**7 + 0*p**2 + 0 + 0*p**3 + 1/50*p**5 + 20*p - d*p**6. Factor z(m).
m**3*(m - 2)*(m - 1)/5
Let b(p) = -3*p**3 - 60*p**2 + 285*p. Let t(h) = -14*h**3 - 239*h**2 + 1131*h. Let u(l) = 13*b(l) - 3*t(l). Suppose u(w) = 0. What is w?
0, 8, 13
Let c(k) = -1000*k + 331002. Let v be c(331). Factor -26/19 + 28/19*h - 2/19*h**v.
-2*(h - 13)*(h - 1)/19
Let i(k) be the first derivative of k**8/560 - k**7/140 - k**6/120 + k**5/20 + k**3/3 + 48*k - 98. Let q(j) be the third derivative of i(j). Factor q(p).
3*p*(p - 2)*(p - 1)*(p + 1)
Let r(g) be the second derivative of -5*g**7/14 - 54*g**6/5 - 1203*g**5/20 + 369*g**4/2 - 112*g**3 + 2140*g. Suppose r(i) = 0. Calculate i.
-16, -7, 0, 2/5, 1
Let m = 160 + 318. Solve m*g**2 + 640 + 412*g**2 - 25*g**3 + 112*g**4 - 1440*g - 5*g**5 - 172*g**4 = 0.
-8, 1, 2
Suppose n + 5*b - 314 = -0*n, n = -3*b + 316. Let m = n + 45. Determine r, given that 14*r - 6 - 3*r**4 + 15*r**3 + 337*r**2 - m*r**2 + 7*r = 0.
1, 2
Factor -1/6*i**3 + 0 + 0*i - 497/6*i**2.
-i**2*(i + 497)/6
Let s(t) be the third derivative of 166/105*t**6 + 16/5*t**5 + 0*t + 0 + 0*t**3 + 25/1176*t**8 + 12/7*t**4 - 88*t**2 - 8/21*t**7. Factor s(x).
2*x*(x - 6)**2*(5*x + 2)**2/7
What is k in 573*k - 6 - 274*k + 287*k - 72 - 6*k**2 - 310 = 0?
2/3, 97
Let x be 42/81*(61/56 + 860/1376). Suppose 3*w + 8 = 7*w. Let 8/9*l + x*l**w + 2/9*l**3 + 0 = 0. What is l?
-2, 0
Let m(t) be the first derivative of -64/3*t**2 - 2/9*t**3 - 2048/3*t - 168. Let m(o) = 0. Calculate o.
-32
Suppose -2*c = -5*v - 11, 5*v - v + 4 = 0. Factor -z**3 + c*z**3 + 1452*z - 6*z**3 + 5*z**3 - 66*z**2 - 10648 + 0*z**3.
(z - 22)**3
Let c = 1279 + -25579/20. Let r(v) be the second derivative of 1/3*v**3 + 16*v + 1/4*v**4 + 0 + 0*v**2 + c*v**5. What is s in r(s) = 0?
-2, -1, 0
Let y(x) be the second derivative of x**4/12 + 45*x**3 + 269*x**2/2 - 5*x + 140. Factor y(o).
(o + 1)*(o + 269)
Let f(g) = -7*g**2 - 39*g + 3. Let v be f(-10). Let t = 309 + v. Factor -4/3*u**t - u**3 + 4/3*u + 1/3*u**5 + 0 + 2/3*u**4.
u*(u - 1)**2*(u + 2)**2/3
Let u = 46 - 74. Let o = 40 + u. Let 46*i**2 + o*i**4 + 18*i**3 + 36*i**4 + 54*i**5 - 22*i**5 - 44*i**2 = 0. What is i?
-1, -1/4, 0
Let w(d) = -d**2 - 15*d + 3. Let n be w(-15). Factor -n*b**2 + 191 - 89 - 90.
-3*(b - 2)*(b + 2)
Let x = 77699 + -77694. Let 149/3*w**3 + 36*w + 224/3*w**2 - 14/3*w**x + w**4 + 16/3 = 0. Calculate w.
-2, -1, -1/2, -2/7, 4
Let o(j) be the first derivative of j**4 - 8*j**3/3 - 10*j**2 + 24*j - 945. Factor o(m).
4*(m - 3)*(m - 1)*(m + 2)
Let -184/7*d**2 - 384/7 + 4*d**4 - 2/7*d**5 + 78/7*d**3 - 88*d = 0. Calculate d.
-2, -1, 3, 16
What is q in 24*q**4 - 127*q**3 + 768*q + 320 - 39*q**2 + 32*q**2 - 4*q**4 - 153*q**2 - 65*q**3 = 0?
-2, -2/5, 2, 10
Let f(l) be the second derivative of l**5/10 - 212*l**4/3 + 44084*l**3/3 + 183184*l**2 - l - 426. Factor f(g).
2*(g - 214)**2*(g + 4)
Let q(y) be the second derivative of y**4/66 + 7*y**3/33 + 12*y**2/11 + y - 468. Factor q(i).
2*(i + 3)*(i + 4)/11
Let u(a) be the third derivative of 14/5*a**5 + 177*a**2 - 9/40*a**6 + 0*a + 0 + 0*a**3 + 49/6*a**4 + 1/210*a**7. Solve u(s) = 0 for s.
-1, 0, 14
Let m(i) be the third derivative of i**8/2352 + i**7/147 + i**6/56 - i**5/42 - 2*i**4/21 - 45*i**2 - 4*i + 1. Determine l, given that m(l) = 0.
-8, -2, -1, 0, 1
Let o = 592 + -584. Let p be (-2)/o*0*5/(-10). Factor 10/3*g + p + 5/6*g**2.
5*g*(g + 4)/6
Suppose -324*l**4 - 9/4 + 321/2*l - 11233/4*l**2 - 1926*l**3 = 0. Calculate l.
-3, 1/36
Solve 301/3*b**3 + 147*b**4 - 220/3*b - 32/3 - 328/3*b**2 = 0 for b.
-1, -2/7, 8/9
Let k(z) be the third derivative of -z**5/15 + 157*z**4/6 - 308*z**3 + 5756*z**2. Factor k(l).
-4*(l - 154)*(l - 3)
Let y(n) be the third derivative of -n**7/210 - 17*n**6/60 - 289*n**5/60 + 4*n**2 + 288. Factor y(u).
-u**2*(u + 17)**2
Let h = 169 - 691. Let q be (-2181)/(-378) - (-29)/h. Factor q*y - 200/7 - 2/7*y**2.
-2*(y - 10)**2/7
Let x be (57/(-76))/(54/(-48)). Solve -1/6*f**4 + 1/2*f**3 + x*f**2 - 2*f + 0 = 0.
-2, 0, 2, 3
Let z(b) = -24*b**2 - 636*b - 2504. Let n(g) = 5*g**2 - 2*g - 2. Let d(p) = 4*n(p) + z(p). Factor d(o).
-4*(o + 4)*(o + 157)
Let f be (3 - (-15)/(-2))/((-15)/30). Let t be ((-5 - 4) + f)/1. Suppose 0*n + t + 2/3*n**2 = 0. What is n?
0
Let i be 11 - 8 - 4 - (-3 - -2). Let f(h) be the third derivative of -35*h**2 + 0*h**3 + 5/24*h**4 + 0*h + i + 1/3*h**5. Factor f(y).
5*y*(4*y + 1)
Let m(b) be the first derivative of 4*b**3/3 + 13976*b**2 + 48832144*b + 1404. Solve m(h) = 0.
-3494
Let b(q) be the third derivative of -q**7/840 - q**6/160 + 5*q**5/48 + 13*q**4/32 - 15*q**3/2 + 824*q**2 + 1. Factor b(w).
-(w - 3)**2*(w + 4)*(w + 5)/4
Let l = 556 - 540. Factor 0*s**3 + l*s**2 - 2*s**3 - 1049*s + 12 + 1023*s.
-2*(s - 6)*(s - 1)**2
Let r be 6*-1 - (6 + (-5 - 2)). Let l(t) = t**3 + 6*t**2 - 2*t - 35. Let i be l(r). Let 2/5*z**2 + 2/5*z**3 + i - 4/5*z = 0. Calculate z.
-2, 0, 1
Let c be (-41 - -2)/(-3) + (-4218)/333. Let -v**2 + 0 + 4/3*v**3 + c*v**4 - 6*v = 0. What is v?
-3, 0, 2
Let p(u) be the third derivative of -2*u**7/105 - 2*u**6/5 - 49*u**5/15 - 13*u**4 - 80*u**3/3 - 92*u**2 - 5. Determine d so that p(d) = 0.
-5, -4, -2, -1
Let q be ((-4)/(-10))/(1/10). Suppose 0 = q*n - 0*n - 8, -2*t = 5*n - 2