tor f(m).
-m**2*(m + 1)*(3*m + 1)
Let s(x) be the third derivative of x**6/72 + x**5/24 - 5*x**4/12 + 13*x**3/3 + 25*x**2. Let h(o) be the first derivative of s(o). Find i such that h(i) = 0.
-2, 1
Let p(b) be the third derivative of b**5/240 + 3*b**4/32 + 3*b**2 + 13. Factor p(l).
l*(l + 9)/4
Suppose 5*m = -2*p + 21, 2*m - 12 = -113*p + 111*p. Factor 2*s**p - 9/4 - 1/4*s**4 + 6*s - 11/2*s**2.
-(s - 3)**2*(s - 1)**2/4
Let p = 205/24 + -97/24. What is v in p*v**4 + 1/2*v**5 + 24*v + 16*v**3 + 8 + 28*v**2 = 0?
-2, -1
Suppose -94*b**2 + 702*b**4 - 198*b**2 - 2*b**2 - 2*b**5 - 736*b**4 - 182*b**3 = 0. What is b?
-7, -3, 0
Let s(a) = -33 + 7 + 3*a + 11. Let o be s(6). Factor -1/3*u**4 + 2/3*u**2 + 0 + 1/3*u**o + 0*u.
-u**2*(u - 2)*(u + 1)/3
Suppose 2*a + 3 = 5*d + 17, a = -d. Let v be (3/2)/((-2)/(-4)). Determine n so that 1/2 - 1/2*n**a + 1/4*n**v - 1/4*n = 0.
-1, 1, 2
Let b be 23 + 9/7 + (-10)/35. Let y be b/9 + (-3 - -1). Factor 0*s**2 + 0 + y*s - 2/3*s**3.
-2*s*(s - 1)*(s + 1)/3
Let l = 1701 + -1701. Factor l + 3/7*a - 6/7*a**2.
-3*a*(2*a - 1)/7
Suppose 16 = -4*u, 30*u = -c + 28*u - 5. Suppose 8/11*m**2 - 30/11*m**c + 0 + 6/11*m = 0. What is m?
-1/3, 0, 3/5
Let b(i) = 34*i**3 - 1539*i**2 + 25088*i - 8202. Let m(s) = 16*s**3 - 770*s**2 + 12544*s - 4100. Let t(d) = 2*b(d) - 5*m(d). Factor t(q).
-4*(q - 32)**2*(3*q - 1)
Factor -4 + 8*i**4 - 8*i**3 + 4 + 3*i**4 - 7*i**4.
4*i**3*(i - 2)
Suppose 4*b - 19 - 15 = -5*t, -t = -b + 4. Suppose -b*z + 3*z = -9. Factor -2*j**z + 4*j**4 - 4*j**2 - 2*j + 0*j**5 + j + 3*j**5.
j*(j - 1)*(j + 1)**2*(3*j + 1)
Let r be 5/39*(-360)/(-60). Let -r*f - 4/13 - 6/13*f**2 + 2/13*f**4 + 2/13*f**3 = 0. What is f?
-1, 2
Factor 10*d + 33760 - 33724 - 34*d + 3*d**2.
3*(d - 6)*(d - 2)
Let q(v) be the third derivative of 0 + 0*v - 7*v**2 + 25/6*v**3 + 1/60*v**5 - 5/12*v**4. Solve q(u) = 0.
5
Let u = 10865/9 + -1207. Let 4/9 - 2/3*r + u*r**2 = 0. What is r?
1, 2
Let p(n) = -n**3 - 20*n**2 - 75*n + 2. Let g be p(-15). Let j(m) be the first derivative of 1/24*m**4 - 1/9*m**3 + 0*m - g + 0*m**2. Factor j(l).
l**2*(l - 2)/6
Let p(n) be the second derivative of n**6/6 + 55*n**5 + 15125*n**4/2 + 1663750*n**3/3 + 45753125*n**2/2 + 393*n. Determine a, given that p(a) = 0.
-55
Let c(f) be the third derivative of -f**9/60480 + f**7/10080 - f**4/4 - 17*f**2. Let a(s) be the second derivative of c(s). What is y in a(y) = 0?
-1, 0, 1
Let r be (-2 + -6)*(0 - 1). Let k be 11/6 + r/48. Determine y, given that -3*y**3 - y**2 - 11*y**k - y - 14*y - 6 = 0.
-2, -1
Let a be 0/(6*4/(-8)). Suppose -4*l + k = -11, a*l - k = l - 9. Solve 0*p**2 + 0*p + 1/3*p**l - 1/3*p**3 + 0 = 0.
0, 1
Let r(l) be the third derivative of 1/20*l**5 + 0 + 1/8*l**4 + 0*l**3 + 0*l - 38*l**2. Factor r(o).
3*o*(o + 1)
Factor -2*b - 12*b**3 - 2*b - 12*b**2 - 11604*b**4 + 11600*b**4.
-4*b*(b + 1)**3
Let m(k) be the third derivative of -k**5/3 - 185*k**4/24 - 15*k**3/2 - 143*k**2. Find b such that m(b) = 0.
-9, -1/4
Let m(j) be the second derivative of -1/72*j**4 - 19*j + 0 + 1/3*j**3 - 3*j**2. Factor m(o).
-(o - 6)**2/6
Let n be ((20/(-7))/(-5))/3. Let s(g) be the first derivative of -4 - 8/7*g - 2/7*g**2 + n*g**3. Suppose s(b) = 0. Calculate b.
-1, 2
Factor -10/3*v + 2/3*v**2 + 8/3.
2*(v - 4)*(v - 1)/3
Let i(n) be the second derivative of n**5/8 - 15*n**4/4 + 55*n**3/4 - 20*n**2 - n + 8. Determine k so that i(k) = 0.
1, 16
Let z(p) be the second derivative of p**5 - 185*p**4/12 + 325*p**3/6 - 35*p**2 + 46*p. Solve z(j) = 0.
1/4, 2, 7
Let f(n) be the third derivative of 0 + 39*n**2 - 1/6*n**4 - 4/3*n**3 + 1/15*n**5 + 0*n. Solve f(d) = 0 for d.
-1, 2
Factor 0*n + 0 + 1/7*n**5 - 12/7*n**2 + 20/7*n**3 - 9/7*n**4.
n**2*(n - 6)*(n - 2)*(n - 1)/7
Let p(q) = -60 - 69 - 26*q + 125 + 4*q + 6*q**2. Let v(r) = -r**2 + r - 1. Let k(c) = -p(c) - 8*v(c). Factor k(b).
2*(b + 1)*(b + 6)
Let x(i) be the second derivative of i**6/288 + 3*i**5/160 - i**4/48 - 11*i**3/3 + 18*i. Let m(j) be the second derivative of x(j). Factor m(b).
(b + 2)*(5*b - 1)/4
Let y(j) = -100*j - 1300. Let a be y(-13). Determine d so that a - 2/13*d**4 + 2/13*d**2 + 0*d**3 + 0*d = 0.
-1, 0, 1
Solve 122/7*y + 0 + 2/7*y**2 = 0 for y.
-61, 0
Let f(o) = -2*o**3 + o**2 + 29*o + 3. Let q(t) = 3*t**3 - 30*t - 6. Let p(y) = 6*f(y) + 7*q(y). Factor p(u).
3*(u - 2)*(u + 2)*(3*u + 2)
Let f(j) be the first derivative of 5*j**4/16 - 95*j**3/4 + 3915*j**2/8 + 4205*j/4 + 192. Find g such that f(g) = 0.
-1, 29
Let g(k) be the first derivative of -k**4/2 + 4*k**3 - 3*k**2 - 20*k - 32. Factor g(q).
-2*(q - 5)*(q - 2)*(q + 1)
Factor 3*u**3 + 4*u**3 + 20*u - 295 + 295 - 72*u**2.
u*(u - 10)*(7*u - 2)
Factor 3/4*t**2 - 81/2*t + 0.
3*t*(t - 54)/4
Solve -30*m**2 - 3/4*m**3 - 111/2 - 339/4*m = 0 for m.
-37, -2, -1
Let d = 164 - 105. Let z = -59 + d. Suppose z + y + 7/4*y**3 + 4*y**2 = 0. Calculate y.
-2, -2/7, 0
Let v be (-54)/(-55) + 336/(-1848). Let c be 3/3 + (3 - 1). Factor -2/5*a**c + v + 6/5*a + 0*a**2.
-2*(a - 2)*(a + 1)**2/5
Suppose m - 136 = 5*m - 4*p, 0 = -3*m - 2*p - 82. Let g be 3/6*m/(-5). Factor g*v**4 + 97 - 6*v**2 - 97 - 3*v**3.
3*v**2*(v - 2)*(v + 1)
Suppose -a + 2*v = -1, 3*a + 6 - 12 = 3*v. Factor 0 + 0*f - 2/11*f**4 - 4/11*f**2 - 6/11*f**a.
-2*f**2*(f + 1)*(f + 2)/11
Let c(z) = 12*z**4 + 300*z**3 - 285*z**2 - 18*z + 9. Let b(o) = -3*o**4 - 75*o**3 + 72*o**2 + 4*o - 2. Let v(g) = -9*b(g) - 2*c(g). Find u, given that v(u) = 0.
-26, 0, 1
Let h(a) = -4*a**5 - 40*a**4 - 142*a**3 - 230*a**2 - 170*a - 46. Let u(o) = o**3 + o**2 + o + 1. Let g(m) = h(m) - 2*u(m). Solve g(s) = 0.
-4, -3, -1
Suppose -3*s = 2*s - 5. Let t(z) be the first derivative of z**3 + 4*z - 10*z - 4 - 6*z + s. Factor t(o).
3*(o - 2)*(o + 2)
Let u(h) = 4*h**2 - 8*h - 4. Let p = 39 + -43. Let n(j) = j + 1. Let o(r) = p*n(r) - u(r). Factor o(d).
-4*d*(d - 1)
Let g(i) = 2*i**2 + 93*i + 222. Let t be g(-44). Factor 9/2*f + 3/4*f**t + 27/4.
3*(f + 3)**2/4
Let j(w) be the first derivative of -8/3*w - 14/3*w**2 - 4/3*w**3 + 29. Factor j(c).
-4*(c + 2)*(3*c + 1)/3
Let b(i) = 2*i**2 + 280*i + 1611. Let j be b(-6). What is t in 57/4*t + j*t**2 - 15/4 = 0?
-5, 1/4
Let a(n) = -4*n**4 + 50*n**3 + 80*n**2 + 54*n. Let r(k) = k**4 - 10*k**3 - 16*k**2 - 11*k. Let z(d) = -3*a(d) - 14*r(d). Factor z(s).
-2*s*(s + 1)*(s + 2)**2
Let i(z) be the first derivative of -2/27*z**3 + 11 + 0*z + 2/9*z**2. Suppose i(x) = 0. What is x?
0, 2
Let -102/7*i - 12/7*i**4 + 40/7 + 68/7*i**2 + 8/7*i**3 - 2/7*i**5 = 0. What is i?
-5, -4, 1
What is p in 6*p - 3*p**2 + 12*p + 0*p**2 = 0?
0, 6
Let l(r) be the second derivative of -r**5/5 + 14*r**3/3 - 12*r**2 + 100*r. Let l(i) = 0. Calculate i.
-3, 1, 2
Factor 2/3*q**2 - 2/3*q + 0.
2*q*(q - 1)/3
Let k(a) be the second derivative of a**4/3 + 16*a**3/3 + 14*a**2 - 2*a + 26. Factor k(t).
4*(t + 1)*(t + 7)
Determine g, given that -8*g**3 + 0 + 9*g**5 + 0*g + 5/2*g**2 - 3/2*g**4 = 0.
-1, 0, 1/3, 5/6
Let n(m) be the second derivative of m**4/9 + 2*m**3/3 + 4*m**2/3 + 298*m. Factor n(a).
4*(a + 1)*(a + 2)/3
Let c(d) be the second derivative of -d**4/4 + 3*d**3 + 21*d**2/2 + 2*d - 12. Solve c(k) = 0 for k.
-1, 7
What is m in 12/11 + 2/11*m**2 - 14/11*m = 0?
1, 6
Suppose -17 = d - 4*w, 0 = 5*d - 2*w - 3*w + 25. Let p be -4 + (-1 - -11) + d. Let 2*g + 14*g**2 - 10*g**3 - 3*g + 2*g**4 - p*g = 0. Calculate g.
0, 1, 3
Let z(p) be the first derivative of -5*p**6/4 + 261*p**5/10 - 1053*p**4/8 - 243*p**3/2 + 436. Determine o so that z(o) = 0.
-3/5, 0, 9
Let m(s) be the third derivative of -s**7/1680 + s**6/96 - 17*s**5/480 + s**4/24 + 105*s**2. Factor m(g).
-g*(g - 8)*(g - 1)**2/8
Let l(k) be the third derivative of k**8/3024 - 11*k**7/1890 + 31*k**6/1080 - 7*k**5/180 + 360*k**2. Factor l(d).
d**2*(d - 7)*(d - 3)*(d - 1)/9
Suppose f - 3*u + 6 = -0*u, 9 = 5*f - 2*u. Find o such that 24*o + 0*o**2 + 0*o**2 + f*o**2 - 15*o + 6 = 0.
-2, -1
Suppose -1315 = -38*k - 1163. Factor 1/2*f**5 + 0 + 0*f - f**k + 0*f**2 + 1/2*f**3.
f**3*(f - 1)**2/2
Let b = -188999/270 - -700. Let m(a) be the third derivative of 0*a**3 + 1/54*a**4 + 0 - 3*a**2 + 0*a + b*a**5. Solve m(p) = 0 for p.
-2, 0
Let x(t) be the third derivative of -t**10/166320 + t**8/18480 - t**6/3960 - 5*t**4/6 - 32*t**2. Let m(p) be the second derivative of x(p). Factor m(d).
-2*d*(d - 1)**2*(d + 1)**2/11
Solve -1014*n**3