10331. Find p such that -144*p - 1/3*p**3 - f*p**2 - 576 = 0.
-12
Factor -2*h**2 - 20*h - 2*h + 129 - 45 + 0*h.
-2*(h - 3)*(h + 14)
Let s = -56 + 58. Find z such that 12*z - 20*z**s + 5*z**2 - 4*z**3 - z**3 + 8*z**3 = 0.
0, 1, 4
Let j(v) be the second derivative of -v**7/1260 - v**6/360 + v**5/10 + 2*v**4/3 - 25*v. Let m(q) be the third derivative of j(q). Let m(z) = 0. Calculate z.
-3, 2
Let o(a) be the second derivative of -a**8/2240 - a**7/840 - 5*a**4/12 + 10*a. Let q(y) be the third derivative of o(y). Find l such that q(l) = 0.
-1, 0
Suppose -102 = -23*f + 6*f. Let o(x) be the first derivative of 3/4*x**4 + 0*x**5 + 5 - 1/2*x**f + 0*x + 0*x**3 + 0*x**2. Factor o(y).
-3*y**3*(y - 1)*(y + 1)
Let 1/6*b**5 + 11/3*b**2 + 13/6*b**3 + 20/3 - 4/3*b**4 - 34/3*b = 0. What is b?
-2, 1, 2, 5
Factor 3*h**2 - 7803 - 15436*h - 6*h**2 + 15130*h.
-3*(h + 51)**2
Let m(o) = -3*o**2 - 60*o + 117. Let r(c) = -7*c**2 - 181*c + 350. Let u(x) = 8*m(x) - 3*r(x). Determine z so that u(z) = 0.
2, 19
Let j(x) be the first derivative of -81*x**5/20 - 45*x**4/2 - 118*x**3/3 - 20*x**2 - 4*x - 189. What is k in j(k) = 0?
-2, -2/9
Suppose -10*d + 4*d**4 + 36*d**3 + 75 - 62*d**3 - 80*d**2 + 36*d**3 + d**4 = 0. What is d?
-5, -1, 1, 3
Let d(l) = 4*l**2 + 28*l - 16. Let t(j) = -6*j**2 - 55*j + 33. Let u(c) = -7*d(c) - 4*t(c). What is o in u(o) = 0?
1, 5
Let t(v) = -3*v**4 - 11*v**3 + 8. Let i be 0 + -5*(3 - 4). Let l(q) = -i*q**4 + 3*q**3 - 10*q**3 + 3*q**4 + 9 - 4. Let w(d) = 8*l(d) - 5*t(d). Factor w(h).
-h**3*(h + 1)
Let b(i) be the third derivative of i**9/161280 + i**8/17920 - 5*i**5/12 - 17*i**2. Let x(v) be the third derivative of b(v). Let x(w) = 0. What is w?
-3, 0
Let c(s) = 4*s**3 + 990*s**2 + 21769*s + 159698. Let l(p) = -p**3 - 330*p**2 - 7256*p - 53232. Let n(k) = 4*c(k) + 11*l(k). Find b, given that n(b) = 0.
-22
Let g be (-13 - (-6870)/525)/(1/10). Suppose -g*w + 3/7*w**4 + 6/7*w**3 - 3/7*w**2 + 0 = 0. What is w?
-2, -1, 0, 1
Let b(u) = -u**2 - 8*u - 6. Let f(a) = a**2 - a - 5. Let c be f(0). Let i be b(c). Factor 3*h**3 - 5*h**3 - 4*h + 15*h**2 - i*h**2.
-2*h*(h - 2)*(h - 1)
Let x(l) be the first derivative of 1/18*l**3 + 1/3*l + 16 - 1/4*l**2. Factor x(i).
(i - 2)*(i - 1)/6
Let o(h) be the third derivative of 20*h**2 - 1/270*h**5 - 5/108*h**4 + 0*h + 0 - 4/27*h**3. Find q such that o(q) = 0.
-4, -1
Let u(j) = -3*j**2 - j + 3. Let y be (1/(-2))/((-1)/2). Let g(m) = -1 + m + y. Let o(r) = -g(r) - u(r). Factor o(w).
3*(w - 1)*(w + 1)
Suppose 4*y + 13 = 5*p, 19*p = 2*y + 22*p - 21. Let d(t) be the first derivative of -2/3*t**y + 0*t**2 - 3 + 2*t. Determine r so that d(r) = 0.
-1, 1
Let b be (4/16)/((-2)/8)*-124. Suppose 129*f + 8*f**4 - 3*f**4 - 5*f**2 - b*f - 5*f**3 = 0. What is f?
-1, 0, 1
Let a(c) be the second derivative of 7/4*c**4 - 8*c**3 + 6*c**2 + 0 + 20*c. Factor a(w).
3*(w - 2)*(7*w - 2)
Let r(k) be the first derivative of 2*k**5/5 + 2*k**4 - 4*k**3 - 4*k**2 + 10*k + 172. Factor r(v).
2*(v - 1)**2*(v + 1)*(v + 5)
Suppose 0*h - 10 = -5*h. Suppose -h*g**4 + 17*g**4 + 12*g**2 + 76*g**3 - 52*g**3 + 3*g**5 = 0. What is g?
-2, -1, 0
Let s(t) be the third derivative of -t**6/660 - 3*t**5/110 - 5*t**4/44 - 7*t**3/33 + 153*t**2. Factor s(o).
-2*(o + 1)**2*(o + 7)/11
Let p(y) be the third derivative of -y**5/180 + 11*y**4/12 - 121*y**3/2 + 82*y**2. Factor p(b).
-(b - 33)**2/3
Let b(k) = 3*k**5 - 30*k**4 + 33*k**3 + 253*k**2 - 36*k - 223. Let m(a) = a**2 - 1. Let u(f) = -b(f) + 7*m(f). Determine y, given that u(y) = 0.
-2, -1, 1, 6
Solve -42*f**4 + 252 - 246*f**2 + 69*f**2 - 2*f**5 - 33*f**4 - 264*f + 140*f**3 + 5*f**5 + 121*f**3 = 0 for f.
-1, 1, 2, 21
Let k be 0*(8/(-2) + (-1 - -4)). Factor -6*y**2 + 272*y + k*y**2 - 274*y.
-2*y*(3*y + 1)
Let r(v) = 32*v + 28. Let c be r(5). Let m be c/90 - 2 - (-26)/195. Factor 1/9*w**2 + 0 - 2/9*w**3 + m*w - 1/9*w**4.
-w*(w - 1)*(w + 1)*(w + 2)/9
Let r(q) = -2*q**3 - 1. Let c be r(1). Let f be c + (-1 - -2)*5. Find m such that -f*m**3 - 4*m**2 + 11*m**2 - 3*m**2 = 0.
0, 2
Let c(p) be the third derivative of p**6/72 - 3*p**5/4 + 135*p**4/8 + 4*p**3/3 + p**2. Let k(t) be the first derivative of c(t). Factor k(y).
5*(y - 9)**2
Let y(c) be the second derivative of -c**4/36 + c**3 - 16*c**2/3 - 61*c + 4. Factor y(g).
-(g - 16)*(g - 2)/3
Let z(g) be the second derivative of -g**9/2268 + g**8/280 - g**7/105 + g**6/135 - 7*g**3/2 - g. Let m(d) be the second derivative of z(d). Solve m(y) = 0.
0, 1/2, 2
Let v(h) be the second derivative of h**9/3024 + h**8/336 + h**7/168 - h**6/36 - h**5/6 + h**4 + 19*h. Let w(r) be the third derivative of v(r). Factor w(f).
5*(f - 1)*(f + 1)*(f + 2)**2
Let w = 96 + -96. Suppose 6*l - l - 15 = w. Determine p, given that 0*p + 1/3*p**l - 1/3*p**2 + 0 = 0.
0, 1
Let t(a) be the first derivative of -a**6/8 + 3*a**4/4 - a**3/2 - 9*a**2/8 + 3*a/2 - 133. Find v, given that t(v) = 0.
-2, -1, 1
Let c = 15 + -13. Factor -f**c - 2*f**4 + f**3 + 5*f**3 - 3*f**3 + f**5 - f**4.
f**2*(f - 1)**3
Let s(m) = -m**2 + m - 1. Let z(u) = -2 + 8*u**3 + 7*u - u**4 - 14*u**2 + 3*u**3 + 3*u - 5*u**3. Let j(v) = -4*s(v) + 2*z(v). Factor j(r).
-2*r*(r - 2)**3
Let u(o) be the third derivative of 1/6*o**4 + 0*o + 6*o**2 + 2/3*o**5 + 0 + 0*o**3 + 5/6*o**6. Factor u(r).
4*r*(5*r + 1)**2
Factor 172/17 + 82/17*r - 2/17*r**2.
-2*(r - 43)*(r + 2)/17
Let i be 48/(-15)*((-115)/18 + 5). Determine q so that 40/9*q**3 + 4/9*q**5 + 20/9*q - i*q**2 - 20/9*q**4 - 4/9 = 0.
1
Suppose -3*l + 2*i = 2 + 9, -l - 2 = i. Let k be 3 + l*(-2)/(-6). Factor r**4 - 2*r**3 + 5*r**3 + 13*r**2 - 24*r**k + 13*r**2.
r**2*(r + 1)*(r + 2)
Factor -16/3*u - 2/3*u**4 + 8/3 - 2/3*u**5 + 2/3*u**2 + 10/3*u**3.
-2*(u - 1)**3*(u + 2)**2/3
Let c be (28/(-35))/((-2)/5). Factor 53*d + 2*d**3 + 64*d - 117*d + 6*d**c.
2*d**2*(d + 3)
Suppose 4*u + 23 = 19. Let j be (u + 0)/((-24)/72). Find h, given that 4/19*h**2 + 2/19*h**j + 0 - 6/19*h = 0.
-3, 0, 1
Let m(q) be the first derivative of q**5/10 - 11*q**4/8 + 3*q**3/2 + 11*q**2/4 - 5*q - 16. Solve m(u) = 0.
-1, 1, 10
Let k(l) be the third derivative of -14*l**2 - 1/12*l**4 + 0 + 0*l + 1/15*l**5 - 2/3*l**3 + 1/60*l**6. Solve k(g) = 0.
-2, -1, 1
Let a(n) = -5*n**4 - 41*n**3 + 12*n**2 + 48*n + 7. Let b(z) = 3*z**4 + 27*z**3 - 8*z**2 - 32*z - 5. Let h(p) = -5*a(p) - 7*b(p). Solve h(m) = 0 for m.
-4, -1, 0, 1
Factor 72*j**3 - 156*j**3 + 0*j**4 + 4*j**4 + 33867*j + 12648*j**2 + 357492 - 187627*j - 300*j**3.
4*(j - 31)**3*(j - 3)
Let l be (5/90*-4)/(2/(-18)). Let a(n) be the first derivative of 3/4*n**4 - l*n**3 + 3/2*n**2 - 1 + 0*n. Suppose a(o) = 0. What is o?
0, 1
Let v(q) be the first derivative of -2*q**3/45 + 2*q**2/3 - 32*q/15 + 415. Factor v(f).
-2*(f - 8)*(f - 2)/15
Let i(w) be the first derivative of -w**5/15 + w**4/6 - w**3/9 + 203. Solve i(y) = 0 for y.
0, 1
Let u = -39/2 + 219/10. Find d, given that -u - 8/5*d + 4/5*d**2 = 0.
-1, 3
Let y(c) be the first derivative of 7 - 1/4*c**3 - 3/8*c**2 + 0*c. Determine z so that y(z) = 0.
-1, 0
Let o(d) be the first derivative of -d**5/160 + 3*d**4/64 - d**3/8 + 13*d**2/2 - 1. Let m(v) be the second derivative of o(v). Solve m(y) = 0.
1, 2
Let b(n) = 12*n + 17*n**2 + 17 + n**3 - n**2 + 8*n - 4*n. Let t be b(-15). Determine a so that -4/5 + 2/5*a**3 + 2*a - 8/5*a**t = 0.
1, 2
Let p(v) be the first derivative of -v**5/8 + 7*v**4/16 + v**3/8 - 385. Let p(m) = 0. Calculate m.
-1/5, 0, 3
Suppose 0 = -49*q + 43*q + 24. Let c(t) be the first derivative of -1/2*t**4 + 4/3*t**3 + 1/15*t**5 + q - 4/3*t**2 + 0*t. Find d such that c(d) = 0.
0, 2
Let m = -2443 + 12136/5. Let n = 163/10 + m. Factor 1/2*q**3 + n*q**5 + 0*q**2 + 0*q + 0 - q**4.
q**3*(q - 1)**2/2
Suppose 0 - 8/3*n + 72*n**3 + 2/3*n**2 + 36*n**5 - 162*n**4 = 0. What is n?
-1/6, 0, 1/3, 4
Let c = 19/588 - -5/98. Let f(o) be the first derivative of -5 + 0*o**2 + 0*o - 1/30*o**5 + 0*o**3 - c*o**4. Factor f(s).
-s**3*(s + 2)/6
Let v be (4/(-8))/(2 + 434/(-216)). Let h be (-1)/(-3) + (-6)/v. Factor -2/9*i + 0 + h*i**2.
2*i*(i - 1)/9
Let j(p) be the third derivative of 0 + 2*p**2 + 5/2*p**3 + 1/20*p**5 + 3/4*p**4 + 0*p. Factor j(z).
3*(z + 1)*(z + 5)
Let k(g) be the second derivative of -1/10*g**5 + 0 - 1/45*g**6 + 5/18*g**4 + 1/63*g**7 + 15*g + 0*g**2 - 2/9*g**3. Factor k(w).
2*w*(w - 1)**3*(w + 2)/3
Suppose 23*m + 17*m = 41*m. Let