**3/2 + 14*w**2. Let o(y) be the first derivative of r(y). Factor o(m).
(m - 4)*(m + 1)/5
Let r(h) be the third derivative of h**5/12 - 85*h**4/24 + 13*h**2 - 9. Suppose r(j) = 0. What is j?
0, 17
Let w(p) be the first derivative of p**5/180 - 5*p**4/72 + p**3/3 - 7*p**2/2 + 9. Let l(t) be the second derivative of w(t). Find z such that l(z) = 0.
2, 3
Let i = 508231/225884 + 2/56471. Find v such that i*v**2 + 0 + 0*v**3 + 3/2*v - 3/4*v**4 = 0.
-1, 0, 2
Let q be (-10)/6*(348/(-60) + 4). Let f(r) be the third derivative of -7*r**2 + 1/15*r**5 + 0*r**q + 0 - 1/3*r**4 + 0*r. Factor f(h).
4*h*(h - 2)
Suppose 9*t**5 + 3*t**5 - 122*t**3 - 100 - 209*t**2 - 15*t**4 + 39*t**3 - 240*t - 13*t**5 = 0. What is t?
-5, -2, -1
Let p(f) be the third derivative of -9*f**8/112 + 2*f**7/35 + 1697*f**6/360 + 24*f**5/5 - 53*f**4/6 + 40*f**3/9 + 464*f**2. Suppose p(m) = 0. Calculate m.
-4, -1, 2/9, 5
Let -9*q - 7*q**2 + 2*q**2 + 59*q + 894 - 894 = 0. What is q?
0, 10
Factor 3*u**2 + 176*u - 56*u + 2*u**2.
5*u*(u + 24)
Let r(p) = -46*p**2 - 1144*p - 1132. Let h(b) = -4*b**2 - 104*b - 103. Let g(v) = -68*h(v) + 6*r(v). Let g(s) = 0. Calculate s.
-1, 53
Let z = -185/3 - -1301/21. Let m(c) = c**2 - 4*c - 3. Let q be m(5). Suppose 0*j**q - z + 3/7*j - 1/7*j**3 = 0. What is j?
-2, 1
Find o, given that -2/3*o**2 - 1/6*o**4 + 0*o + 2/3*o**3 + 0 = 0.
0, 2
Determine m so that -2401/4 + 97/4*m**2 + 2303/4*m + 1/4*m**3 = 0.
-49, 1
Let g(q) be the third derivative of -1/20*q**5 + 0*q + 0*q**3 + 0 + 2*q**2 - 1/8*q**4. Solve g(f) = 0 for f.
-1, 0
Let f(d) be the third derivative of d**6/6 - d**5/5 - 2*d**4 - 8*d**3/3 + 10*d**2. Factor f(l).
4*(l - 2)*(l + 1)*(5*l + 2)
Let n(q) be the third derivative of -1/480*q**6 + 0 - 16*q**2 + 0*q**5 + 0*q + 1/24*q**4 + 0*q**3. Factor n(j).
-j*(j - 2)*(j + 2)/4
Let z = 90 + -90. Let j(f) be the third derivative of -1/15*f**3 - 1/20*f**4 + 0 + 8*f**2 + z*f - 1/300*f**6 - 1/50*f**5. Factor j(q).
-2*(q + 1)**3/5
Factor 579*m + 836*m**2 + 15488 - 1671*m**2 - 227*m + 837*m**2.
2*(m + 88)**2
Factor 852*j - 118336 + 2*j**2 - 3*j**2 - 3*j**2 - 2228*j.
-4*(j + 172)**2
Let z(b) = 2*b**2 + 27*b + 80. Let s be z(-4). Let 2/7*u**3 - 2*u - 4/7 - 12/7*u**2 + 4/7*u**s = 0. Calculate u.
-1, -1/2, 2
Let i(v) = -v**3 + v**2 + v. Let u(q) = 867*q**3 + 76*q**4 + 12 + 81*q - 654*q**3 - q**4 + 204*q**2. Let j(x) = -3*i(x) - u(x). Factor j(o).
-3*(o + 1)**2*(5*o + 2)**2
Factor -28/3 + 10/3*f**2 + 46*f.
2*(f + 14)*(5*f - 1)/3
Let c be (18 - 242/12) + (-5)/(-2). Factor g**2 - 2/3*g**3 + 4/3 + 8/3*g - c*g**4.
-(g - 2)*(g + 1)**2*(g + 2)/3
Let v(h) be the third derivative of 0*h**4 + 11*h**2 + 0*h**6 + 0*h - 1/1260*h**7 + 0 + 0*h**3 + 0*h**5. Factor v(w).
-w**4/6
Let h(c) = c**3 + 3*c**2 - 4*c + 2. Let o be h(-4). Factor -14 + 0*l + o*l**3 - 6*l**2 - 2*l + 20.
2*(l - 3)*(l - 1)*(l + 1)
Let x(j) be the second derivative of j**7/63 - 4*j**6/45 + j**5/10 + 15*j - 3. Factor x(v).
2*v**3*(v - 3)*(v - 1)/3
Let d(h) be the first derivative of 2 - 34 + h**3 + 6*h**2 - 11 + 4 + 12*h. Factor d(x).
3*(x + 2)**2
Let x(k) be the second derivative of k**4/18 - 7*k**3/9 + 4*k**2 - k - 6. Let x(w) = 0. What is w?
3, 4
Let z(m) be the third derivative of 0 + 2/105*m**7 - 1/336*m**8 - 1/3*m**3 + 5/24*m**4 + 0*m - 27*m**2 - 1/30*m**5 - 1/30*m**6. What is d in z(d) = 0?
-1, 1, 2
Let x(w) be the third derivative of 25/4*w**3 - 5/8*w**4 + 1/40*w**5 - 24*w**2 + 0*w + 0. Let x(h) = 0. Calculate h.
5
Factor 5*s - 15/2 + 5/2*s**2.
5*(s - 1)*(s + 3)/2
Let d(x) be the second derivative of -x**7/315 + x**6/36 - 4*x**5/45 + x**4/9 + 39*x**2/2 - 42*x. Let i(u) be the first derivative of d(u). Factor i(c).
-2*c*(c - 2)**2*(c - 1)/3
Let y(f) = f**3 - 4*f**2 - 2*f - 3. Let t be y(5). Factor -512 - t*z**2 + 512 - 4*z - 5*z**3.
-z*(z + 2)*(5*z + 2)
Let a(y) be the third derivative of 5*y**8/168 - 4*y**7/15 - 13*y**6/15 + 7*y**5/15 + 47*y**4/12 + 14*y**3/3 - 10*y**2 + 1. Find x such that a(x) = 0.
-1, -2/5, 1, 7
Let f(y) be the first derivative of y**4/24 + y**3/6 + 4*y + 10. Let v(j) be the first derivative of f(j). Factor v(h).
h*(h + 2)/2
Find t such that -2*t**2 + 10/9*t**3 + 14/9*t - 4/9 - 2/9*t**4 = 0.
1, 2
Let n = 179 - 316. Let z = -137 - n. Solve z*m**2 + 0 - 2/11*m**4 + 0*m - 2/11*m**3 = 0 for m.
-1, 0
Factor 67*m**4 + 2*m**2 - 3 - 63*m**4 - 34*m**3 - 20*m**2 + 3.
2*m**2*(m - 9)*(2*m + 1)
Let o(r) be the third derivative of 5/54*r**4 + 0 + 0*r**3 + 0*r + 1/270*r**5 + 34*r**2. Suppose o(g) = 0. Calculate g.
-10, 0
Let k(f) be the first derivative of 12*f**5/5 + f**4 - 20*f**3/3 - 2*f**2 + 8*f + 57. Solve k(s) = 0.
-1, 2/3, 1
Let j = -14420/11 - -216322/165. Factor 4/15 + j*w - 2/15*w**2.
-2*(w - 2)*(w + 1)/15
Suppose 314*c - 307*c - 21 = 0. Let 3/2*d**4 - 1/2*d**5 + 0*d + 0*d**2 + 0 - d**c = 0. Calculate d.
0, 1, 2
Let u(j) be the third derivative of 16*j**2 - 1/360*j**5 + 0*j**3 + 0*j + 0 - 1/36*j**4. Factor u(l).
-l*(l + 4)/6
Let l = 492/625 - -8/625. Factor 16/5*u + l + 3*u**2.
(3*u + 2)*(5*u + 2)/5
Let -3*s + 0 - 1/3*s**2 = 0. Calculate s.
-9, 0
Let n(o) be the first derivative of o**9/5040 + o**8/1400 - o**6/300 - o**5/200 + 5*o**3/3 - 1. Let h(d) be the third derivative of n(d). Factor h(j).
3*j*(j - 1)*(j + 1)**3/5
Let 35*f**2 + 25*f - 375 + 99*f**3 + 93*f**3 - 197*f**3 = 0. What is f?
-3, 5
Let n = 286/171 + -1/171. Let i = 299 + -890/3. Determine r, given that -1/3*r**4 - 3*r**2 + i*r + n*r**3 - 2/3 = 0.
1, 2
Let f(y) be the second derivative of -y**7/42 - y**6/5 - 7*y**5/10 - 4*y**4/3 - 3*y**3/2 - y**2 + 83*y. Suppose f(u) = 0. Calculate u.
-2, -1
Let x(w) be the first derivative of 3*w**5/40 - 3*w**3/4 + 3*w**2/2 + 8*w - 10. Let k(n) be the first derivative of x(n). Determine r, given that k(r) = 0.
-2, 1
Let u(p) be the second derivative of p**4 - 12*p + 0 + 1/5*p**5 - 2/15*p**6 - 4*p**2 - 2/3*p**3. Solve u(f) = 0.
-1, 1, 2
Let f be 26/22 + -1 - (-4299)/11. Let w = f + -5079/13. Find h, given that 6/13*h + w + 2/13*h**2 = 0.
-2, -1
Let q(i) be the second derivative of i**4/3 + 4*i**3 + 18*i**2 - 10*i - 2. Factor q(h).
4*(h + 3)**2
Factor -32/15*h + 32/15 + 8/15*h**3 + 0*h**2 - 2/15*h**4.
-2*(h - 2)**3*(h + 2)/15
Determine h, given that -110*h**4 + 1204*h**2 - 168 + 5*h**5 - 642 - 3284*h**2 + 790*h**3 + 2205*h = 0.
1, 2, 9
Factor 126/11 + 2/11*l**3 + 26/11*l**2 + 102/11*l.
2*(l + 3)**2*(l + 7)/11
Determine b, given that 3/8*b**2 + 9 + 21/4*b = 0.
-12, -2
Let n be 16/32 - (-155)/2. Factor n*m**2 - 48*m**2 - 2 - 45*m - 5*m**3 + 2.
-5*m*(m - 3)**2
Let n(d) be the third derivative of d**8/896 - 9*d**7/560 + 5*d**6/64 - 27*d**5/160 + 5*d**4/32 - d**2 + 46. Let n(h) = 0. Calculate h.
0, 1, 2, 5
Determine b so that 3*b**3 + 2*b**3 + 325*b**2 - 2*b**3 - 94*b**2 - 4563 + 0*b**3 + 4329*b = 0.
-39, 1
Let h(s) = 10*s**2 + 164*s - 3356. Let t(r) = 8*r**2 + 164*r - 3357. Let k(b) = 5*h(b) - 6*t(b). Factor k(o).
2*(o - 41)**2
Suppose -9*g + 12*g = 15. Let q(k) be the third derivative of -4*k**2 + 0 - 1/120*k**6 + 1/210*k**7 + 0*k - 1/30*k**g + 0*k**4 + 0*k**3. Factor q(s).
s**2*(s - 2)*(s + 1)
Factor -3/2*t**3 + 183/2*t + 63 + 27*t**2.
-3*(t - 21)*(t + 1)*(t + 2)/2
Let d(l) = -l**2 - 3*l. Let k = -79 - -79. Let j be d(k). What is r in 1/3*r**2 - 1/3*r + j = 0?
0, 1
Let o(c) = -c**2 - 10*c - 16. Let f be o(-7). Factor 5*w - 10*w**2 - f + 7*w**2 + 2 + w.
-3*(w - 1)**2
Determine r, given that -3*r**3 + 13*r**5 + 5*r**3 - 18*r**5 + 7*r**5 + 4*r**2 - 8*r**3 = 0.
-2, 0, 1
Let z(w) = w**3 + w**2 + 1. Let g(q) be the second derivative of -q**6/10 - 3*q**5/20 - q**2/2 + 4*q. Let u(h) = 3*g(h) + 3*z(h). Solve u(r) = 0.
-1, 0, 1/3
Let u(c) be the first derivative of -1/7*c**3 - 3/7*c**2 - 20 + 9/7*c. What is f in u(f) = 0?
-3, 1
Let c(r) = 10 + 2 - 4*r**2 + 5*r**2 - 11*r. Let p be c(10). Solve -10/7*i**4 + 8/7*i**p - 4/7*i**3 + 2/7 - 4/7*i**5 + 8/7*i = 0 for i.
-1, -1/2, 1
Let k(u) be the third derivative of 0*u - 1/24*u**4 - 1/12*u**3 - 8*u**2 + 0 - 1/120*u**5. Find j such that k(j) = 0.
-1
Determine p so that 32*p - 14523*p**2 + 14525*p**2 - 6*p + 43 + 37 = 0.
-8, -5
Let q(b) be the second derivative of -1/2*b**3 + 3/20*b**5 + 0 - 3*b - 1/20*b**6 + 1/8*b**4 + 0*b**2. Factor q(g).
-3*g*(g - 2)*(g - 1)*(g + 1)/2
Factor 147 + 5 + 626*p + 340 + 111*p**2 - p**3 - 146*p - 2*p**3.
-3*(p - 41)*(p + 2)**2
Let l(s) b