 0?
2/3, 2
Factor -49*i**2 - 3*i**4 - 56*i**2 + 44*i**3 + 75*i - 9*i**3 - 2*i**3.
-3*i*(i - 5)**2*(i - 1)
Determine q, given that 2/7*q**2 + 2888/7 - 152/7*q = 0.
38
Let h(w) be the third derivative of -15*w**2 + 7/6*w**4 - 1/5*w**5 + 0 + 0*w + 4*w**3. Solve h(j) = 0.
-2/3, 3
Let t be (-1 + 5 - 2) + 50/(-5). Let m be t/16 - (-3)/4. Determine v so that m*v - 1/4*v**2 + 1/2 = 0.
-1, 2
Let q(g) = 0 - g**4 - g + 0 - g**5 - 42*g**2 - 1 + 43*g**2. Let w(n) = 11*n**5 - 19*n**4 + 45*n**3 - 41*n**2 + 16*n + 6. Let o(b) = 6*q(b) + w(b). Factor o(c).
5*c*(c - 2)*(c - 1)**3
Let t(i) be the second derivative of i**7/30 - 19*i**6/150 + 3*i**5/20 - i**4/60 - i**3/15 - 195*i - 2. Factor t(m).
m*(m - 1)**3*(7*m + 2)/5
Let o(d) be the first derivative of d**5/5 + 2*d**4/3 - 2*d**3/3 - 4*d**2 - 16*d + 13. Let p(a) be the first derivative of o(a). Solve p(b) = 0.
-2, -1, 1
Let b(t) be the third derivative of -5*t**8/336 + 5*t**7/42 - t**6/8 - 5*t**5/12 + 5*t**4/6 - 265*t**2 + 1. Determine s, given that b(s) = 0.
-1, 0, 1, 4
Suppose 0 = 5*i + 10, -2*q + 2*i = -7*q + 76. Suppose 3*z - 6*z = -12. Factor q*t**3 - 126*t - 16 - 58*t**3 - 244*t**2 + 6*t + 98*t**z.
2*(t - 2)*(t + 1)*(7*t + 2)**2
Let -g**5 + 1878*g**4 + 0*g**3 - 8*g**2 - 1873*g**4 - 2*g**3 = 0. Calculate g.
-1, 0, 2, 4
Let d = -58 + 84. Suppose -4*q = 2*v - 4*v - d, -25 = 5*v. Factor -3*j - 2 - 2*j**2 + 2*j - j**2 + q*j**2.
(j - 2)*(j + 1)
Let i(h) be the third derivative of -10/9*h**5 + 13*h**2 + 0*h + 95/36*h**4 - 25/144*h**6 - 20/9*h**3 + 0. Factor i(f).
-5*(f + 4)*(5*f - 2)**2/6
Factor -3/7*m**3 + 30/7*m**2 + 72/7 - 12*m.
-3*(m - 6)*(m - 2)**2/7
Let l(k) = k**4 + k**3 + k**2 + k + 1. Let j(v) = v**4 + 6*v**3 - 24*v**2 - 14*v + 11. Let b(p) = -j(p) - 4*l(p). Factor b(q).
-5*(q - 1)**2*(q + 1)*(q + 3)
Let j(a) be the second derivative of a**4/4 - 15*a**3/2 + 21*a**2 + 22*a + 1. Solve j(h) = 0 for h.
1, 14
Let c = -436/3033 - -348/337. Find m, given that -10/9*m + 2/9*m**2 + c = 0.
1, 4
Let m(h) be the first derivative of 5 - 4/5*h**5 + 2*h**2 - h**4 + 4/3*h**3 + 0*h. Factor m(p).
-4*p*(p - 1)*(p + 1)**2
Let i(x) be the first derivative of -10*x**3 + 0*x - 3/2*x**2 + 6 - 27/4*x**4. What is u in i(u) = 0?
-1, -1/9, 0
Let s(o) be the second derivative of o**7/189 - o**6/135 - o**5/10 + o**4/6 + 526*o. Determine a so that s(a) = 0.
-3, 0, 1, 3
Let d = 367 - 367. Let t(s) be the third derivative of -1/30*s**5 + 0*s**4 + d + 0*s - 1/120*s**6 - 5*s**2 + 0*s**3. Suppose t(b) = 0. Calculate b.
-2, 0
Let w(t) be the first derivative of 2/15*t**5 - 1/3*t**2 + 4/3*t - 2/3*t**3 + 1/6*t**4 - 15. Factor w(x).
2*(x - 1)**2*(x + 1)*(x + 2)/3
Let w(s) be the first derivative of -s**3/3 - 3*s**2 + 27*s + 154. Factor w(m).
-(m - 3)*(m + 9)
Let h(p) be the second derivative of -p**5/20 - p**4/6 + 3*p**3/2 + 9*p**2 + 158*p. Find m, given that h(m) = 0.
-3, -2, 3
Let 126/5*p**2 - 1323/5*p - 3/5*p**3 + 0 = 0. Calculate p.
0, 21
Suppose 7*j - 3*j - 8 = 0. Let -g**4 + 6*g**3 - 5*g**3 + 4*g**2 - j*g**2 = 0. What is g?
-1, 0, 2
Suppose x - 344 + 344 = 0. Let h(z) be the third derivative of 1/3*z**3 + 1/30*z**6 - 1/6*z**4 + x - 9*z**2 + 0*z - 1/105*z**7 + 0*z**5. Factor h(f).
-2*(f - 1)**3*(f + 1)
Let t(r) = 390*r**2 + 10375*r + 2535. Let u(f) = -28*f**2 - 741*f - 181. Let a(k) = -4*t(k) - 55*u(k). Factor a(o).
-5*(o + 37)*(4*o + 1)
Suppose -22 = 2*w - 5*i, -3*w + 3*i = 20 - 5. Let s(q) = q**3 + q - 1. Let t(b) = -4*b**3 - 4*b**2 - 16*b + 8. Let p(g) = w*t(g) - 8*s(g). Factor p(o).
-4*o*(o - 2)*(o + 1)
Suppose -17*u - 3*u = -40. Let g(c) be the second derivative of 0*c**u + 1/90*c**6 + 0 + 1/60*c**5 - 1/36*c**4 - 1/18*c**3 - 5*c. Factor g(b).
b*(b - 1)*(b + 1)**2/3
Let l(g) = 2*g**2 + 3*g**2 - 4*g**2 - 13*g + 7*g + 10. Let u be l(4). Factor -2/3*k**3 + 0 + u*k**2 - 4/3*k.
-2*k*(k - 2)*(k - 1)/3
Suppose -2*q = -7*q - 25, -q + 30 = 5*l. Factor 54*v - 61*v - l*v**2 + 2 - 2*v**2.
-(v + 1)*(9*v - 2)
Factor 2/7*c**2 - 12/7*c - 32/7.
2*(c - 8)*(c + 2)/7
Find z such that -1/7 + 1/7*z**2 + 0*z = 0.
-1, 1
Let g(x) be the second derivative of x**5/20 - x**4/2 - 7*x**3/6 - 179*x. Factor g(c).
c*(c - 7)*(c + 1)
Let v(c) be the second derivative of -c**4/2 + 29*c**3/14 - 3*c**2/7 + 103*c - 2. Suppose v(r) = 0. Calculate r.
1/14, 2
Let y(o) be the first derivative of o**5 + 35*o**4/4 + 30*o**3 + 50*o**2 + 40*o - 56. Factor y(v).
5*(v + 1)*(v + 2)**3
Let p(t) = -2*t**2 + 2*t - 16. Let a(d) = -3*d**2 + 2*d - 17. Let j(q) = -4*a(q) + 5*p(q). Factor j(y).
2*(y - 2)*(y + 3)
Let h = 285/4 - 71. Factor -1/4*l + h*l**2 - 1/2.
(l - 2)*(l + 1)/4
Suppose 5*n - 1 + 6 = 0. Let t be (-20)/(-8) - n/(-2). What is b in -7*b**t + 8*b**3 - 4*b + 6*b**4 - b**2 + b**2 - 3*b**2 = 0?
-2, -1/3, 0, 1
Let l(h) = -h**2 - h + 1. Let y(a) = 2*a**4 - 4*a**3 - 7*a**2 + 7*a + 9. Let n(f) = l(f) - y(f). Factor n(g).
-2*(g - 2)**2*(g + 1)**2
Factor 2/9*g**4 + 0 + 0*g + 4/9*g**2 - 2/3*g**3.
2*g**2*(g - 2)*(g - 1)/9
Let t = -9 + 9. Suppose -2*h + 23*h - 42 = t. Find q such that 2/3*q**h - 2*q + 4/3 = 0.
1, 2
Let i(v) = 3*v**2 + v - 2. Let b(j) = -16*j**2 - 4*j + 12. Suppose -7*l + 26*l - 209 = 0. Let u(n) = l*i(n) + 2*b(n). Factor u(k).
(k + 1)*(k + 2)
Let k(m) be the second derivative of m**4/12 - 7*m**3/6 + 5*m**2 - 3*m + 5. Let k(p) = 0. What is p?
2, 5
Let g(w) be the first derivative of -1/9*w**6 + 1/3*w**4 - 1/3*w**2 + 0*w**5 + 0*w**3 + 0*w - 1. Factor g(l).
-2*l*(l - 1)**2*(l + 1)**2/3
Suppose -4*w = -2*z + 28, -z - 2*w = -9 + 3. Let k be 340/51*8/z. Factor 4/3*v**4 - k*v**2 + 0 + 16/3*v - 4/3*v**3.
4*v*(v - 2)*(v - 1)*(v + 2)/3
Factor 3/2*r**2 + 2*r - 5/2*r**3 - 3/2*r**4 + 1/2*r**5 + 0.
r*(r - 4)*(r - 1)*(r + 1)**2/2
Let c(w) = -5*w**2 + 112*w. Let z(d) = -55*d**2 + 1230*d. Let g(p) = -45*c(p) + 4*z(p). Solve g(f) = 0.
0, 24
Let k be (-7)/(-13)*(-28)/(-49). Let 0*u**2 + 4/13*u + 2/13*u**4 - 2/13 - k*u**3 = 0. Calculate u.
-1, 1
Let c(n) be the first derivative of 3*n**5/5 + 9*n**4 + 19*n**3 - 18*n**2 - 60*n - 263. Find w, given that c(w) = 0.
-10, -2, -1, 1
Suppose 13*d = -181 + 207. Let v(r) be the second derivative of 0 + r**6 + 19/21*r**4 - 4/3*r**3 + 163/70*r**5 - 14*r - 8/7*r**d. Solve v(u) = 0.
-1, -2/3, -2/7, 2/5
Let a(p) be the second derivative of p**6/540 + p**5/60 + p**4/18 - p**3/3 + 2*p. Let f(j) be the second derivative of a(j). Factor f(m).
2*(m + 1)*(m + 2)/3
Let g(v) be the second derivative of 3*v**5/20 + v**4/4 - 3*v**3 - v + 33. What is h in g(h) = 0?
-3, 0, 2
Let v(b) be the first derivative of -4/21*b**3 + 2/7*b**2 + 0*b + 14. Factor v(u).
-4*u*(u - 1)/7
Let f(c) be the second derivative of -c**7/21 + c**6/5 + 7*c**5/10 - 5*c**4/2 - 6*c**3 - 3*c + 3. What is j in f(j) = 0?
-2, -1, 0, 3
Suppose 0 = 163*f + 357*f - 111*f. Factor -1/3*a + f + 1/3*a**2.
a*(a - 1)/3
Let h(x) be the third derivative of -x**6/480 - x**5/24 + 11*x**4/96 - 15*x**2 - 2*x. Determine g, given that h(g) = 0.
-11, 0, 1
Let f be (-26)/39 + (-10)/3. Let w be (-18)/(-5) + f*(-3)/(-6). Find g such that -2/5 + 4/5*g**3 - 16/5*g**2 - 12/5*g + w*g**5 + 18/5*g**4 = 0.
-1, -1/4, 1
Suppose y = -49 + 46. Let p be ((-20)/(-180))/((-2)/y). Solve 2/3*b**2 - 1/3 + p*b**5 + 1/6*b - 1/3*b**4 - 1/3*b**3 = 0.
-1, 1, 2
Let s(u) be the first derivative of u**4/6 + 52*u**3/9 + 25*u**2/3 + 373. Factor s(f).
2*f*(f + 1)*(f + 25)/3
Let k(g) be the third derivative of -1/960*g**6 + 0*g**3 + 0 + 0*g**4 + 0*g + 1/160*g**5 + 10*g**2. Determine r, given that k(r) = 0.
0, 3
Factor -4*y + 201*y**2 - 104*y**2 - 102*y**2 + 10 - y.
-5*(y - 1)*(y + 2)
Let t = -337 + 2023/6. Factor 0*c - t*c**5 + 0 - 5/6*c**3 + 1/3*c**2 + 2/3*c**4.
-c**2*(c - 2)*(c - 1)**2/6
Let n(f) = -f**2 - 9*f + 3. Let o be n(-9). Let 250*d**o + 5*d**5 - 250*d**3 = 0. Calculate d.
0
Suppose -1 = -k - 2*x, -4*k = -0*x - 2*x + 16. Let s(w) = w**2 + 3*w. Let m be s(k). Solve m*c + 3*c**2 - 3*c + 6*c = 0.
-1, 0
Let v be ((-40)/14 - -3)/((-8)/(-28)). Let i(c) be the first derivative of 1/6*c**3 + v*c + 3 - 1/2*c**2. Let i(x) = 0. Calculate x.
1
Let x = -3286659/497 - -6613. Let y = 6936/5467 + x. What is d in -8/11*d**3 + y*d + 4/11 - 10/11*d**2 = 0?
-2, -1/4, 1
Let t(p) = p - 5. Suppose 3*y = r + 17, -y + 3*y - r = 10. Let c be t(y). Factor k**c + 17 - k - 7 - 2*k - 8.
(k - 2)*(k - 1)
Let b = 33 - 32. Find w, given that -2*w**2 + 4*w**2 - b + 3 - 