46*l**2 - 24*l + 127. Solve v(g) = 0.
1/3, 2, 6
Suppose -4*r + 20 = s, 0 = -5*s - 2*r + 80 - 52. Suppose 44/3*m**3 + 0 + 40/9*m**s + 160/9*m**2 + 64/9*m + 4/9*m**5 = 0. What is m?
-4, -1, 0
Let s be 10/15*-1*-3. Factor -3*t**4 + t**2 + 5*t**3 - t + 0*t**2 - 2*t**s.
-t*(t - 1)**2*(3*t + 1)
Let c(y) = -16*y**2 - 5*y + 7. Let a be c(5). Let g = a - -2097/5. Suppose g*m**2 + 0 + 2/5*m = 0. What is m?
-2/7, 0
Let h(d) be the third derivative of -d**6/480 - d**5/10 - 15*d**4/32 - 11*d**3/12 - 12*d**2 + 3. Determine y, given that h(y) = 0.
-22, -1
Let v be 9 + (-608)/96 - 14/12. Factor 0 - v*i**4 - 3/2*i**3 + 0*i + 0*i**2.
-3*i**3*(i + 1)/2
Let i(p) = -p**2 - p + 2. Let m be i(0). Let y = m - -3. Factor -51 - c**y - c**4 + 51.
-c**4*(c + 1)
Factor -2/7*m**3 - 10*m + 14 - 26/7*m**2.
-2*(m - 1)*(m + 7)**2/7
Let d = -528 + 534. Let k(f) be the first derivative of 9/10*f**5 + 3 + d*f**3 + 3/2*f - 9/2*f**2 - 15/4*f**4. Suppose k(u) = 0. Calculate u.
1/3, 1
Let v = -2792 - -2792. Factor -1/4*f**3 - 1/2*f**2 - 1/4*f + v.
-f*(f + 1)**2/4
Suppose 0 = -9*d + 15*d. Let j(v) be the third derivative of -1/70*v**7 + 0*v**3 + d*v + 1/40*v**6 + 0*v**4 + 0 - 2*v**2 + 0*v**5. Solve j(r) = 0.
0, 1
Let n(k) = -2*k**3 + 39*k**2 + 15*k - 5. Let l(r) = r**3 - 3*r + 1. Let u(a) = 5*l(a) + n(a). Factor u(j).
3*j**2*(j + 13)
Let y(i) be the second derivative of -1/18*i**4 + 2/9*i**3 + 0 + 11*i - 1/3*i**2. What is z in y(z) = 0?
1
Let o(i) = 13*i - 219. Let c be o(17). Find g, given that -63/5*g**4 + 12*g**3 + 27*g**c - 12/5 + 0*g = 0.
-1, -1/3, 2/7, 2
Factor 36*a**3 + 24*a**4 + 29*a**5 + 26*a**5 - 51*a**5 + 16*a**2.
4*a**2*(a + 1)**2*(a + 4)
Solve -3/2 + 6*p**3 - 4*p**4 - 7/4*p**5 + 11/2*p**2 - 17/4*p = 0 for p.
-3, -1, -2/7, 1
Find l such that -2*l**3 - 4/3*l**4 + 0*l**2 + 0 + 2/3*l = 0.
-1, 0, 1/2
Factor -28*d**3 - 38*d + 4 + 52*d**2 + 8 + 88*d**4 + 2*d**5 - 86*d**4 - 2.
2*(d - 1)**4*(d + 5)
Let y be 293/(-18) + (-1 - 0). Let v = y + 35/2. Factor 2/9*i + v*i**3 + 4/9*i**2 + 0.
2*i*(i + 1)**2/9
Let o(g) = -g**2 - 5*g + 4*g + 2*g. Let l(v) = -v**2 + 11*v - 20. Let c be l(8). Let m(f) = f**2 + 4*f. Let a(s) = c*m(s) - 12*o(s). Let a(u) = 0. Calculate u.
-1/4, 0
Let w(z) be the third derivative of z**5/100 - z**4/10 - z**3/2 + 3*z**2 - 24. Let w(t) = 0. Calculate t.
-1, 5
Let y(v) = 2*v**3 - v. Let d(x) = 3*x**3 + 6*x**2 - 26*x + 18. Let n(o) = -d(o) + y(o). Factor n(i).
-(i - 2)*(i - 1)*(i + 9)
Let o(g) be the second derivative of -7*g**4/54 - 12*g**3 - 92*g**2/9 - 111*g. Factor o(t).
-2*(t + 46)*(7*t + 2)/9
Let f be 13/(-26)*28/(-15). What is t in 2/15 + f*t**2 + 2/3*t + 2/5*t**3 = 0?
-1, -1/3
Let o = 598 + -596. Factor -6/5*m + 3/5*m**o + 0.
3*m*(m - 2)/5
Let n(b) = -b**3 - 81*b**2 - 770*b. Let h be n(-70). What is p in h + 0*p + 2/3*p**2 = 0?
0
Factor 2/5*q**2 - 28/5*q + 26/5.
2*(q - 13)*(q - 1)/5
Let k be (-12)/(-4) - 3 - -3. Solve -55*n - 28*n**3 + 8*n**k - 10 - 35*n**2 - 30*n**2 = 0.
-2, -1, -1/4
Let -1/2*f**3 + 0*f + 1/2*f**5 - 2 + 7/2*f**2 - 3/2*f**4 = 0. What is f?
-1, 1, 2
Suppose 487 = -4*s - 3*p - 54, 0 = -3*s + 2*p - 393. Let w be s/(-308) + 4/(-22). Find m, given that -1/4*m**4 + w*m**5 + 0*m + 1/4*m**2 + 0 - 1/4*m**3 = 0.
-1, 0, 1
Let c be (-8)/(48/(-30)) + -3. Let y(q) be the first derivative of -2*q + 2*q**c - 1 - 2/3*q**3. Factor y(h).
-2*(h - 1)**2
Let h(k) = 3*k**2 + 3. Let o(m) = 111*m**2 + 24*m + 54. Let l(x) = -30*h(x) + o(x). Factor l(a).
3*(a + 2)*(7*a - 6)
Let f(h) be the first derivative of -h**8/7560 - h**7/1260 - h**6/810 - h**3/3 + 48. Let c(s) be the third derivative of f(s). Find m, given that c(m) = 0.
-2, -1, 0
Let p be (-30)/20*(0 + -2). Suppose -3*m + 1 = -5. Suppose -2*y**2 - 5*y**3 - m*y**p + 5*y**3 = 0. What is y?
-1, 0
Let o(p) = p**2 - 5*p - 70. Let i be o(11). Let h be 1*i + 336/80. Factor -1/5*z**2 + h*z + 0.
-z*(z - 1)/5
Factor 129*v**3 - v**2 - 59*v**3 - 4*v**2 - 360*v - 60*v**3 + 180.
5*(v - 6)*(v + 6)*(2*v - 1)
Suppose t - 6*i + 3*i - 19 = 0, 21 = 4*t - i. Find b, given that 3*b**3 - 12/7 - 24/7*b - 3/7*b**2 + 3/7*b**5 + 15/7*b**t = 0.
-2, -1, 1
Let y(a) be the first derivative of -4*a**4 - 28*a**3 - 10*a**2 + 520. Factor y(p).
-4*p*(p + 5)*(4*p + 1)
Factor 206*h - 2*h**2 - 49*h - 36*h - 48*h - 33*h.
-2*h*(h - 20)
Factor -1352/19 - 2/19*i**2 - 104/19*i.
-2*(i + 26)**2/19
Let f be 1/3 - 40/(-15). Let s(a) be the second derivative of -2*a - 49/60*a**4 + 0 - 2/5*a**2 + 14/15*a**f. Factor s(n).
-(7*n - 2)**2/5
Let f be ((-3)/(-9))/(10/18). Let t be (-128)/(-80) + (4/(-5))/(-2). Factor -6/5*h + 9/5*h**t + 0 - f*h**3.
-3*h*(h - 2)*(h - 1)/5
Let u(p) be the third derivative of 3*p**8/28 + 2*p**7/7 - 7*p**6/15 - 4*p**5/5 + 4*p**4/3 - 13*p**2 + 6*p. What is w in u(w) = 0?
-2, -1, 0, 2/3
Let j(m) be the second derivative of -m**7/84 + m**6/20 + m**5/10 - 2*m**4/3 + 4*m**2 - 184*m. Factor j(f).
-(f - 2)**3*(f + 1)*(f + 2)/2
Let c(n) be the second derivative of -n**5/12 + 5*n**4/24 + 33*n**2/2 + 43*n. Let v(h) be the first derivative of c(h). Factor v(u).
-5*u*(u - 1)
Let -2/3*z**4 + 0 + 2/15*z**5 - 2/15*z**3 + 2/3*z**2 + 0*z = 0. What is z?
-1, 0, 1, 5
Suppose -152 + 31 = -266*c + 2007. Find k, given that 0 + 32/5*k + c*k**2 - 12/5*k**3 = 0.
-2/3, 0, 4
Let o(i) = -i**3 - 24*i**2 - 14*i - 332. Let b be o(-24). Factor -2/13*a**b + 8/13*a - 12/13*a**2 - 10/13*a**3 + 16/13.
-2*(a - 1)*(a + 2)**3/13
Let w be -1*(0 + 133)*(0 + 1). Let d = -128 - w. Factor 1/5*s**3 - 2/5*s**4 + 0 + 1/5*s**d + 0*s**2 + 0*s.
s**3*(s - 1)**2/5
Suppose -7 - 1 = 4*w, 3*w = -f - 6. Let r = -244 + 250. Factor -4*l + 0*l + f*l**4 + 3*l**4 - 5*l**4 + r*l**2.
-2*l*(l - 1)**2*(l + 2)
Let u(g) be the third derivative of -g**10/1890000 + g**8/252000 - 11*g**5/30 + g**2. Let d(k) be the third derivative of u(k). Factor d(a).
-2*a**2*(a - 1)*(a + 1)/25
Let q(d) be the third derivative of 1/36*d**4 - 1/36*d**5 + 0*d**3 + 13*d**2 - 1/1008*d**8 + 0 + 0*d + 1/630*d**7 + 1/120*d**6. What is w in q(w) = 0?
-2, 0, 1
Let t(r) = -r**3 - 4*r**2 + 8*r + 2. Let i be t(-7). Let h = i + -63. Factor 37 + 60*n + 15*n**2 - 17 + 5*n**3 - h*n**3.
-5*(n - 2)*(n + 1)*(5*n + 2)
Let a be ((-116)/(-10))/(2/20). Let m = a + -113. Factor 0*r - 4/5*r**m + 0 + 8/5*r**2.
-4*r**2*(r - 2)/5
Let d be 1210/20 - 2/(2 + 2). Let q be (2 - 3)/(-2) - 18/d. What is x in 0 - 1/5*x**3 + q*x**2 + 0*x = 0?
0, 1
Find y, given that 3*y**3 - 7*y**2 + 12*y**3 - y + 3*y**5 - 78*y**4 + y**5 + 2*y + 65*y**4 = 0.
0, 1/4, 1
Let a be 3 - (2/8 + 48/64). Let l(v) be the first derivative of -1/8*v**4 - a + 0*v - 1/12*v**6 - 1/5*v**5 + 0*v**2 + 0*v**3. Factor l(g).
-g**3*(g + 1)**2/2
Let h be (-2664)/(-399) + -7 - ((-152)/28 - -5). Factor 10/19*b - h*b**2 + 12/19.
-2*(b - 6)*(b + 1)/19
Determine w, given that 0 - 2*w**2 + 2/5*w**3 - 28/5*w = 0.
-2, 0, 7
Let f(n) be the first derivative of n**6/36 + n**5/10 - n**4/12 - n**3/3 + n**2/12 + n/2 - 19. Find u, given that f(u) = 0.
-3, -1, 1
Let w(g) = 1. Let x(a) = -2*a**2 + 6*a + 8. Let j = 5 + -17. Suppose 3 = 6*z - 3*z. Let m(h) = j*w(h) + z*x(h). Factor m(i).
-2*(i - 2)*(i - 1)
Let m(p) = -5*p**2 + 5*p. Let q(o) = -o**3 + 3*o**2 + 4*o - 1. Let a be q(3). Let b(f) = f**2 - f. Let k(x) = a*b(x) + 2*m(x). Factor k(y).
y*(y - 1)
Let u(b) be the second derivative of b**5/270 + 11*b**2/2 + 8*b. Let o(w) be the first derivative of u(w). Let o(i) = 0. Calculate i.
0
Let c(h) be the first derivative of h**7/3780 + h**6/1620 + 9*h**3 - 23. Let o(w) be the third derivative of c(w). Determine n so that o(n) = 0.
-1, 0
Suppose 12 = 3*g + 3*q, 7*g = 6*g - 4*q + 7. Let j(r) be the second derivative of 0*r**2 + 0 + 0*r**g + 3*r - 1/42*r**4. Factor j(y).
-2*y**2/7
Factor -276*w**3 - 232*w + 21*w**2 + 286*w**3 - 51 + 9*w**2 + 131 + 46*w**2.
2*(w - 2)*(w + 10)*(5*w - 2)
Suppose -2*y + 11 = g, 2*g - 11 = -3*y + 13. Let a = -12 + g. Factor 0 + q**2 + 1/2*q**a + 1/2*q.
q*(q + 1)**2/2
Suppose z + 389 = -5*t, 2*t + 292 = -2*t + 4*z. Let m be (-22)/t + 24/14. Solve 5*v**3 + 6*v**m - 6*v + 7*v + 0*v**3 = 0 for v.
-1, -1/5, 0
Let y = 1 + 2. Suppose -2*z + 3*q + 9 = 2*z, 15 = y*q. Solve 3*m**3 - 18*m + 2*m**2 - 2*m**2 + z*m = 0 for m.
-2, 0, 2
Let v = -157 + 262. Factor 20*l**3 - 5*l**4 + 120 - 5*l**2 - v - 20*l - 5*l**2.
-5*(l - 3)*(l - 1)**2*(l + 1)
Let m(g) = -2*g - 16. Let i(w) = -w**3 - 8*w**2 - 8*w - 15.