l*s - 4 + v*s**2 + 53*s + 2*s**3 - 111*s = 0 for s.
-2, -1, 1
Let s(f) be the first derivative of 50/9*f**3 + 5/12*f**4 + 10*f**2 - 120*f + 120. Factor s(t).
5*(t - 2)*(t + 6)**2/3
Let b(v) be the third derivative of v**5/60 + 120*v**4 + 345600*v**3 - 2*v**2 + 4652. What is h in b(h) = 0?
-1440
Let x(q) be the first derivative of q**2 + 0*q + 1/8*q**4 - 36 + 5/6*q**3. Suppose x(f) = 0. Calculate f.
-4, -1, 0
Let m(f) be the first derivative of f**4/32 - 3*f**2/16 - 164*f - 207. Let o(a) be the first derivative of m(a). Factor o(y).
3*(y - 1)*(y + 1)/8
Let z(t) be the first derivative of -4*t**5/5 - 23*t**4 - 140*t**3 + 566*t**2 - 616*t + 2570. Let z(u) = 0. Calculate u.
-14, -11, 1
Let o(y) be the third derivative of y**5/80 - y**4/24 - 2*y**2 + 3714. Factor o(n).
n*(3*n - 4)/4
Let g(n) be the first derivative of -n**6/600 - 3*n**5/200 + n**4/10 + 106*n**3/3 - 15. Let f(o) be the third derivative of g(o). Factor f(r).
-3*(r - 1)*(r + 4)/5
Suppose -z + 4 = 3*y + 1, 0 = -y + 4. Let q be (4 - z/(-2))*-6. Solve 3*h**3 + 0 - 9*h + q*h**2 - 3*h**4 + 0 + 6*h = 0 for h.
-1, 0, 1
Suppose 8*f + 2*d = 7*f + 10, -d + 19 = 4*f. Suppose 0 = -2*j, 15*j = f*u + 10*j. Factor 1/7*y - 1/7*y**3 + 0 + u*y**2.
-y*(y - 1)*(y + 1)/7
Suppose 0 = 32*j + 10 - 522. Let z(h) be the third derivative of 0*h + 5/24*h**4 + j*h**2 + 5/3*h**3 - 1/24*h**6 + 0 - 1/6*h**5. Solve z(c) = 0.
-2, -1, 1
Let b(f) = 1275*f + 28055. Let q be b(-22). Suppose -87*r**3 - 1425/2*r - 1/2*r**q - 355*r**2 - 21/2*r**4 - 1125/2 = 0. What is r?
-5, -3
Solve 10/11*y**3 + 4/11*y**2 + 8/11*y**4 + 0 + 2/11*y**5 + 0*y = 0 for y.
-2, -1, 0
Suppose 323*c - 2350 = 88*c. Suppose -2*w + 2 = 3*w + 4*r, -3*w = 5*r + 4. Factor 15*k**2 - 9*k + 6*k**3 - c*k**2 + 6 - 7*k**w - 7*k**2.
3*(k - 2)*(k + 1)*(2*k - 1)
Let n(r) be the third derivative of 119*r**2 + 0*r - 1/30*r**6 + 0*r**3 + 4/3*r**5 - 50/3*r**4 + 0. Factor n(l).
-4*l*(l - 10)**2
Let p(o) = 12*o**3 - 1332*o**2 + 11440*o - 23482. Let w(u) = u**3 - 121*u**2 + 1040*u - 2135. Let j(d) = 3*p(d) - 34*w(d). Find v such that j(v) = 0.
-67, 4
Let c = 23501/258 - -365/86. Determine m, given that 0 + 242/3*m - c*m**2 - 2/3*m**4 + 46/3*m**3 = 0.
0, 1, 11
Let v(c) be the third derivative of c**7/840 + c**6/120 - 23*c**5/48 - 119*c**4/48 - 5*c**3 - c**2 - c - 1513. Factor v(m).
(m - 10)*(m + 1)**2*(m + 12)/4
Let l(m) = -m**3 + m**2 - 2. Let i(r) = r**3 + 140*r**2 - 2520*r - 1290. Let x(a) = -i(a) - 3*l(a). Factor x(n).
(n - 36)**2*(2*n + 1)
Factor -6530 + 4698*w**4 + 24*w**2 + 13065 - 2523*w**5 + 684*w**3 - 6535.
-3*w**2*(w - 2)*(29*w + 2)**2
Suppose 0 = -4*d - d + 200. Factor -90*v**3 + 156*v - 2*v - d*v**2 + 484 + 92*v**3.
2*(v - 11)**2*(v + 2)
Let w(u) be the second derivative of 1/60*u**5 + 1/4*u**4 + 5*u + 0 - 9*u**2 + 4/3*u**3. Let z(q) be the first derivative of w(q). Factor z(x).
(x + 2)*(x + 4)
Let m(p) be the first derivative of -4*p**3 + 0*p - 2*p**2 - 3*p**4 + 54 - 4/5*p**5. Factor m(s).
-4*s*(s + 1)**3
Let s be -17*3/(-816) + 248/128. Solve -32/3 - 8/3*c + 4/3*c**s = 0 for c.
-2, 4
Let w(m) = -14*m**3 - 239*m**2 - 37*m + 17. Let i(x) = 13*x**3 + 220*x**2 + 37*x - 18. Let u(s) = 9*i(s) + 8*w(s). Suppose u(c) = 0. Calculate c.
-13, -1, 2/5
Suppose -923 + 268 - 2*a - 440 - a + 1095*a**2 + 3*a**3 = 0. What is a?
-365, -1, 1
Let y be -14*(-3)/(525/25). Factor -1/2 - 1/2*l**y - l.
-(l + 1)**2/2
Suppose 3*c = -4*r - 6, -2*c - 3*r = 2*r + 11. Find v, given that -11*v**2 + 22*v**c - 15*v**2 + 1 + 52*v - 1 = 0.
0, 13
Let z(x) be the third derivative of 0 - 3/70*x**7 - 112*x**2 + 1/30*x**5 + 0*x + 7/60*x**6 + 1/336*x**8 - 5/8*x**4 + 7/6*x**3. Let z(r) = 0. What is r?
-1, 1, 7
Let x = -2572/69 + 865/23. Determine y, given that -x*y + 1/3*y**3 + 1/2*y**2 + 0 = 0.
-2, 0, 1/2
Let t(y) = -3*y**2 + 125*y + 184. Let b be t(43). What is f in 3/5*f + b - 3/5*f**2 = 0?
-4, 5
Factor 28*m - 48 + 1/4*m**3 - 19/4*m**2.
(m - 8)**2*(m - 3)/4
Let r(w) be the third derivative of -w**6/240 + 41*w**5/12 - 42025*w**4/48 - 69*w**2 - 3*w + 13. What is c in r(c) = 0?
0, 205
Let u(z) be the first derivative of -z**6/15 - 3*z**5/10 + 2*z**4/3 + 4*z**3 + 47*z + 45. Let a(l) be the first derivative of u(l). Suppose a(b) = 0. What is b?
-3, -2, 0, 2
Let l(m) be the first derivative of 3*m**4/22 - 4910*m**3/33 + 3269*m**2/11 - 1634*m/11 - 7685. What is o in l(o) = 0?
1/3, 1, 817
Let 3/2*g**4 + 3644162/3*g + 2339*g**3 + 5480269/6*g**2 + 1213682/3 = 0. Calculate g.
-779, -2/3
Let a(t) = -24*t**3 - 8*t**2 - 8*t - 15. Let y be a(-5). Factor 168*d + y - 1913 + 2*d**2 + 2616.
2*(d + 42)**2
Let r(s) be the second derivative of s**5/40 + 127*s**4/24 + 308*s**3 - 5445*s**2 - 2*s + 149. Factor r(z).
(z - 5)*(z + 66)**2/2
Let v be 91/(-104)*(711/63 + -13). Solve v*b**2 + 24 - 12*b = 0.
4
Factor -1/10*y**3 + 27/2*y - 34/5 - 33/5*y**2.
-(y - 1)**2*(y + 68)/10
Let v(b) be the first derivative of 7/3*b**2 - 7/9*b**3 + 1/12*b**4 - 8/3*b - 56. Factor v(y).
(y - 4)*(y - 2)*(y - 1)/3
Let b be (3282/71110)/(2/400). Let 22/13*v**4 + b*v + 196/13*v**2 + 16/13 + 114/13*v**3 = 0. What is v?
-2, -1, -2/11
Let b(d) be the first derivative of 3/8*d**2 + 1/12*d**3 - 3 - 3*d - 1/48*d**4. Let x(y) be the first derivative of b(y). Solve x(l) = 0.
-1, 3
Let p = 6016 + -2847. Factor 0*n**2 - p*n + 10 + 3180*n + n**2 + 0*n**2.
(n + 1)*(n + 10)
Let n(d) = -18*d**2 - 6*d**2 + 128*d - 24*d**2 + 20*d**2 - 99 - 201. Let s(a) = 10*a**2 - 43*a + 100. Let b(y) = -3*n(y) - 8*s(y). Factor b(r).
4*(r - 5)**2
Factor 2004*n**2 + 334668*n + 1560 - 2*n**3 + 5*n**3 - 1560.
3*n*(n + 334)**2
Let h(r) = 2*r + 64. Let d be h(-31). Solve 25*v - 980 - 9*v - 5*v**d + 31*v + 93*v = 0.
14
Suppose 5*a + 217 = 16*a + 20*a. Let u(j) be the first derivative of a + 1/28*j**4 - 2/21*j**3 + 0*j**2 + 0*j. Factor u(v).
v**2*(v - 2)/7
What is s in 59*s + 72*s**2 + 141*s + 52*s - 4*s**3 = 0?
-3, 0, 21
Let o(j) be the first derivative of 10*j**3/69 - 22*j**2 - 816*j/23 + 515. Factor o(r).
2*(r - 102)*(5*r + 4)/23
Let a(k) be the third derivative of k**6/4 - 7*k**5/15 - k**4/12 - 220*k**2 + 1. Let a(r) = 0. What is r?
-1/15, 0, 1
Let d be 1/((-24)/(-60) + 7/(-5)). Let w be (1/d)/((-8)/96). Factor w - 10*m**4 + 15*m**3 + 5*m**4 - 1 - 15*m - 5*m**2 - 1.
-5*(m - 2)*(m - 1)**2*(m + 1)
Let q(a) be the second derivative of a**5/30 - 152*a**4/9 + 7900*a**3/3 - 30000*a**2 + 2152*a. Factor q(w).
2*(w - 150)**2*(w - 4)/3
Factor 55*t**3 + 52*t + 19*t**2 - 146 - 19*t**3 - 19*t**3 - 20*t**3 + 50.
-(t - 8)*(t + 3)*(3*t - 4)
Let n = 209 + -242. Let s(l) = -16*l**3 + 34*l**2 - 108*l + 109. Let m(a) = 3*a**3 - 7*a**2 + 22*a - 22. Let w(i) = n*m(i) - 6*s(i). Factor w(x).
-3*(x - 4)*(x - 3)*(x - 2)
Let w(b) = 0*b**3 - 105*b**4 + 7*b + 8*b**2 + 107*b**4 + b**3. Let v(k) = -k**4 - k**3 - 4*k**2 - 3*k. Let d(m) = -7*v(m) - 3*w(m). Factor d(n).
n**2*(n + 2)**2
Find x such that 888 + 53*x**3 + 0*x**3 + 754*x**2 - 50*x**3 + 1338*x - 301*x**2 = 0.
-148, -2, -1
Factor 435/4*q - 5/4*q**2 + 675/2.
-5*(q - 90)*(q + 3)/4
Let n(o) be the third derivative of 0 + 19/72*o**4 + 0*o + 1/45*o**5 + 39*o**2 + 2/3*o**3. Suppose n(p) = 0. What is p?
-4, -3/4
Let m = -582511 - -582513. Factor -3 + 8/3*i + 1/3*i**m.
(i - 1)*(i + 9)/3
Let x(k) be the third derivative of k**6/120 - 7*k**5/30 - 245*k**4/8 + 2058*k**3 + 13*k**2 - 91*k - 2. Factor x(a).
(a - 21)**2*(a + 28)
Let d be 8/(-30) + 1480/60 + -24. Let i(z) be the second derivative of 5/6*z**4 + 1/15*z**6 + 14*z + 0 + d*z**5 + 2/3*z**3 + 0*z**2. Factor i(x).
2*x*(x + 1)**2*(x + 2)
Find b, given that -98 + 48*b**2 - 1976*b**2 - 913*b**2 + 237*b + 1079*b - 1577*b**2 = 0.
7/47
Let b(d) be the second derivative of -d**6/30 - d**5/15 + d**4 + 11*d**2 + 42*d. Let j(m) be the first derivative of b(m). Factor j(z).
-4*z*(z - 2)*(z + 3)
Factor -20/7*o**2 + 1346/7*o - 2/7*o**3 + 1364/7.
-2*(o - 22)*(o + 1)*(o + 31)/7
Factor -6/11*u**3 + 0 - 662/11*u + 1988/11*u**2.
-2*u*(u - 331)*(3*u - 1)/11
Suppose 0 = 3*p + 2*r + 4, -13932*p = -13936*p + 3*r + 23. Factor x**p + 1/4*x**4 + 0 + 5/4*x**3 + 0*x.
x**2*(x + 1)*(x + 4)/4
Let s(o) be the third derivative of o**6/30 - 34*o**5/5 + 66*o**4 - 784*o**3/3 + 1454*o**2. Factor s(u).
4*(u - 98)*(u - 2)**2
Let d = 42 + -42. Let p = 6788/10173 + -2/3391. Factor -1/3*a**2 + p*a + d.
-a*(a - 2)/3
Factor 22185/2*x - 22707/2 + 519