v - 2)*(v + 1)/5
Let b(p) be the first derivative of -p**3/2 + 15*p**2 - 150*p - 85. Let b(n) = 0. Calculate n.
10
Find s such that -300*s - 480*s**2 - 9/8*s**4 + 0 - 183/4*s**3 = 0.
-20, -2/3, 0
Let l(w) be the second derivative of 1/55*w**6 - 6*w + 2/33*w**3 - 1/22*w**4 - 1/55*w**5 + 0*w**2 + 0. Let l(b) = 0. What is b?
-1, 0, 2/3, 1
Let f be (5 - 9)*4/(-32). Let k(g) be the second derivative of -1/6*g**3 + 0 + 1/48*g**4 + f*g**2 + 5*g. Factor k(v).
(v - 2)**2/4
Suppose 4*j - 2*j - 4*j = 0. Let r be (1/(-2)*j)/(90/30). What is v in 1/3*v**3 + 0 + r*v + 0*v**2 = 0?
0
Let o(b) be the third derivative of b**8/84 + 2*b**7/3 + 323*b**6/30 + 289*b**5/15 + 533*b**2. Let o(v) = 0. Calculate v.
-17, -1, 0
Suppose -2*l + 7 = 3. Let m(u) be the first derivative of -u**3 - l - 3*u + 4*u + 2*u + 5. Factor m(p).
-3*(p - 1)*(p + 1)
Suppose -4*n = 4*l - 3 - 25, 0 = -2*l + 2*n + 10. Suppose 0*c - 5*c + 20 = 0. Factor -2*v**4 - l*v - v**c + 4 + 0*v + 6*v**3 - 1.
-3*(v - 1)**3*(v + 1)
Let y = 10799/2460 - -5/492. Let o be 11/((-165)/(-174)) + -6. Solve 68/5*b**2 - 14*b**4 + y*b + o*b**3 - 10*b**5 + 2/5 = 0.
-1, -1/5, 1
Let k(m) be the second derivative of m**5/20 + m**4/3 + m**3/2 - 2*m - 272. Factor k(y).
y*(y + 1)*(y + 3)
Let r(l) be the second derivative of -l**6/6 + l**5/4 + 5*l**4/12 - 5*l**3/6 - 24*l + 2. Suppose r(n) = 0. Calculate n.
-1, 0, 1
Factor 34/3*v**2 - 34/3 + 1/3*v**3 - 1/3*v.
(v - 1)*(v + 1)*(v + 34)/3
Let h(v) be the first derivative of 2*v**3/33 + 80*v**2/11 + 3200*v/11 - 412. Factor h(j).
2*(j + 40)**2/11
Let t(w) = -w**2 + 2*w - 1. Let y(i) = -28*i**2 + 8*i - 7. Let j(c) = 24*t(c) - 3*y(c). Factor j(s).
3*(2*s + 1)*(10*s - 1)
Let s(c) = c**3 - 6*c**2 + 4*c + 7. Let p be s(5). Let z(a) = a**2 - a. Let x be z(p). Find w such that -5*w**4 - 5 + 5*w**x + 6 - 1 = 0.
-1, 0, 1
Let q(f) be the second derivative of 1/4*f**4 + 0 - 8/5*f**2 + 1/50*f**5 + f + 4/5*f**3. Factor q(m).
(m + 4)**2*(2*m - 1)/5
Let d(f) be the first derivative of 5*f**4/4 - 20*f**3 - 135*f**2/2 - 70*f + 11. Suppose d(q) = 0. What is q?
-1, 14
Suppose -4*h + 19 = 7. What is d in -3*d**3 + 0*d - h*d + 15*d - 27*d**2 + 18*d = 0?
-10, 0, 1
Factor -96*r**2 + 4 + 976*r + 2*r**3 - 95*r + 271*r - 4.
2*r*(r - 24)**2
Suppose 18*c + 228 - 318 = 0. Let y(x) be the second derivative of 2/15*x**6 + 8*x**2 - 7/5*x**c + 5*x**4 - 26/3*x**3 + 10*x + 0. Find b, given that y(b) = 0.
1, 4
Factor 2/3*h**2 - 188/9 - 278/9*h.
2*(h - 47)*(3*h + 2)/9
Let u(o) be the first derivative of -2*o**3/27 + 20*o**2/3 - 200*o - 28. Solve u(b) = 0.
30
Factor -20*d - 22 - 5*d**2 - 18*d - 12*d - 83.
-5*(d + 3)*(d + 7)
Let a(o) be the third derivative of 0*o + 0*o**3 - 1/15*o**6 + 19*o**2 + 1/63*o**7 - 1/18*o**4 + 1/10*o**5 + 0. Suppose a(t) = 0. Calculate t.
0, 2/5, 1
Let q(f) = 29*f + 87. Let c be q(-3). Let k(o) be the third derivative of -6*o**2 + 1/15*o**3 + c*o + 1/30*o**4 + 0 + 1/150*o**5. Factor k(l).
2*(l + 1)**2/5
Let t(v) = -v**2 - 17*v - 49. Let n be t(-4). Let p(g) be the third derivative of g**2 - 1/15*g**5 + 0 + 0*g**n + 0*g + 0*g**4. Factor p(u).
-4*u**2
Suppose 3*t = -3*q + 4*t + 4, 12 = 5*q + t. Factor 4/3*u**q - 1/6*u**3 - 8/3*u + 0.
-u*(u - 4)**2/6
Let p = 37 + -35. Factor 0*c**2 + 2 - 6*c**p + 3*c + 4*c**2 + 3*c**2.
(c + 1)*(c + 2)
Let f(c) be the third derivative of -c**6/1260 - c**5/420 - 5*c**3/2 - 11*c**2. Let b(j) be the first derivative of f(j). Factor b(q).
-2*q*(q + 1)/7
Let y(b) be the third derivative of -b**6/180 + 4*b**5/45 - 4*b**4/9 + 143*b**2. Solve y(a) = 0 for a.
0, 4
Let w(x) be the second derivative of 10*x + 0 + 1/20*x**6 + 0*x**5 + 0*x**2 - 3/8*x**4 - 1/2*x**3. Suppose w(u) = 0. Calculate u.
-1, 0, 2
Suppose -7*k + 12 = -37. Let c(a) be the first derivative of 2/3*a**3 + 0*a**2 + 0*a - k. Factor c(o).
2*o**2
Factor 1/4*l**4 + 1/2*l**2 + l**3 - l - 3/4.
(l - 1)*(l + 1)**2*(l + 3)/4
Let u(g) be the third derivative of -g**6/420 - g**5/35 - 3*g**4/28 - 4*g**3/21 + 108*g**2. Factor u(q).
-2*(q + 1)**2*(q + 4)/7
What is w in 4755 - 10*w - 4795 + 45*w + 5*w**2 = 0?
-8, 1
Let d(a) be the third derivative of -a**5/600 + a**4/15 - 16*a**3/15 + a**2 + 14. Factor d(c).
-(c - 8)**2/10
Find s, given that 79/2*s**2 + 19*s**3 + 22*s + 3/2 = 0.
-1, -3/38
Let f(u) = u**3 + 16*u**2 + 9*u. Let g(n) = n**3 + 19*n**2 + 10*n. Let y(l) = 4*f(l) - 3*g(l). Factor y(r).
r*(r + 1)*(r + 6)
Factor 3/2*m + 0 - 3/4*m**2.
-3*m*(m - 2)/4
Let b(d) be the first derivative of -1 - d**2 + 5/3*d**3 + 1/5*d**5 - d**4 + 0*d. Solve b(q) = 0 for q.
0, 1, 2
Suppose 2*h + 0 = 6. Factor 41*f + 3*f**4 - 3*f**2 + 5*f**h - f**3 - f**3 - 44*f.
3*f*(f - 1)*(f + 1)**2
Let g be (0 + 160/(-3))*(-132)/88. Let b be ((-32)/g)/((-6)/20)*3. Factor 8/5*z**3 - 6/5*z**b - 4/5*z + 2/5*z**2 + 0.
-2*z*(z - 1)**2*(3*z + 2)/5
Let m(h) be the first derivative of h**7/3780 + 2*h**6/405 + 13*h**5/540 + h**4/18 - 2*h**3/3 + 15. Let s(g) be the third derivative of m(g). Factor s(j).
2*(j + 1)**2*(j + 6)/9
Factor -168/5 + 27/5*a**2 + 18/5*a + 3/5*a**3.
3*(a - 2)*(a + 4)*(a + 7)/5
Let h = 9 - 9. Suppose h*z + 4*z = 72. Solve 9 - z + 9 - t + t**3 = 0 for t.
-1, 0, 1
Let w = -2271 - -2275. Factor -1/2*c**2 + 0*c - 1/4*c**3 + 3/4*c**w + 0.
c**2*(c - 1)*(3*c + 2)/4
Let k(a) = -3*a - 4. Let s(j) = -j - 1. Let b(n) = -3*k(n) + 12*s(n). Let x be b(-1). Factor 0*g - 1/4*g**2 + 0 + 1/4*g**x.
g**2*(g - 1)/4
Let l(z) be the second derivative of -3/2*z**2 - 1/24*z**4 + 1/21*z**3 + 1/84*z**5 + 4*z + 0. Let k(b) be the first derivative of l(b). Factor k(y).
(y - 1)*(5*y - 2)/7
Suppose -34*z = -40*z - 54. Let j be 30/z*48/(-200). Factor 0 - j*v**3 + 0*v**4 + 4/5*v**5 + 0*v + 0*v**2.
4*v**3*(v - 1)*(v + 1)/5
Let x(j) be the first derivative of -2*j**3/15 + 8*j**2/5 - 6*j - 93. What is g in x(g) = 0?
3, 5
Let t(g) be the second derivative of -g**9/22680 + g**7/1260 - g**6/540 + 17*g**4/12 + 42*g. Let j(w) be the third derivative of t(w). Factor j(r).
-2*r*(r - 1)**2*(r + 2)/3
Let b(d) = -d**3 - 13*d**2 - d - 10. Let m be b(-13). Factor -3*z**3 + 0 + m - 2*z**2 - 1 - z + 4*z.
-(z - 1)*(z + 1)*(3*z + 2)
Let f(z) = 212*z - 6357. Let q be f(30). Factor 5/2*h + 3/2 - 1/2*h**q + 1/2*h**2.
-(h - 3)*(h + 1)**2/2
Let a be 298/745*((4/2)/1 + 3). Factor -1/4*j**4 + j**a + 1/2*j**3 - 3/4 - 1/2*j.
-(j - 3)*(j - 1)*(j + 1)**2/4
Solve 24/5 - 6/5*d**4 + 34/5*d**3 - 2/5*d**5 - 18/5*d**2 - 32/5*d = 0.
-6, -1, 1, 2
Find b such that 3/5*b**2 + 54 - 99/5*b = 0.
3, 30
Suppose -25/2*w**3 + 5/2*w**5 + 5*w**4 + 10*w - 25*w**2 + 20 = 0. Calculate w.
-2, -1, 1, 2
Suppose -4*g - 4 = -12. Let c be (-18)/6 + (-34)/(-2). Factor -16*s**g + c*s - 2*s**5 - 6 + 14*s**3 + 4*s**4 + 2 - 10*s**3.
-2*(s - 1)**4*(s + 2)
Let f = 5771/2 - 2884. Let h be 1*(-6)/4 + 2. Let -f*p**4 + p**2 + h*p**5 - 3/2*p + 1/2 + p**3 = 0. What is p?
-1, 1
Let a(f) be the second derivative of -f**6/70 + f**5/70 + 31*f**4/84 + 17*f**3/21 + 4*f**2/7 - 4*f - 20. Find k such that a(k) = 0.
-2, -1, -1/3, 4
Let b(y) = y**3 + 131*y**2. Let p(m) = -130*m**2. Let k(a) = -2*b(a) - 3*p(a). Factor k(f).
-2*f**2*(f - 64)
Let r = 16303/8 + -2036. Factor 3/4*u + 0 + 9/8*u**3 + r*u**2.
3*u*(u + 1)*(3*u + 2)/8
Suppose -12*i - 3*i = 2835. Let b = -747/4 - i. Factor -b*l - 5/4*l**2 + 9/4*l**3 - 1/2 + 7/4*l**4.
(l - 1)*(l + 1)**2*(7*l + 2)/4
Solve -9/5*b**2 - 2*b - 1/5 = 0 for b.
-1, -1/9
Let o(j) be the second derivative of -j**7/294 - j**6/70 + j**5/140 + j**4/28 - 339*j - 2. Find q, given that o(q) = 0.
-3, -1, 0, 1
Let p(b) = -2*b**2 + 10*b - 10. Suppose f = -f + 6. Let h be p(f). Factor 3/5*k**h + 0 + 0*k - 3/5*k**3.
-3*k**2*(k - 1)/5
Let f(i) be the first derivative of 2/13*i + 5/13*i**2 - 4/13*i**3 + 8. Factor f(l).
-2*(l - 1)*(6*l + 1)/13
Let j be ((-3)/12)/((-336)/(-32) + -11). Find c such that 5 + j*c**2 - 11/2*c = 0.
1, 10
Factor -53*c**3 + 57*c**3 + 469 - 131 + 728*c + 52*c**3 + 2*c**4 + 444*c**2.
2*(c + 1)**2*(c + 13)**2
Let q(i) be the first derivative of -4*i**3/3 - 16*i**2 - 48*i + 174. Suppose q(f) = 0. What is f?
-6, -2
Let w(y) be the second derivative of -y**6/45 + y**5/15 + y**4/6 - 8*y**3/9 + 4*y**2/3 - 6*y + 1. Find i such that w(i) = 0.
-2, 1, 2
Let t(l) be the third derivative of l**7/140 + l**6/20 - 3*l**5/20 - l**4/4 + 5*l**3/4 + 71*l**2. Solve t(c) = 0.
-5, -1, 1
Let u(q) be the second derivative of -q**5/90 