*t/2 + 145. Factor p(b).
-3*(b + 69)**2/2
What is n in -24*n**2 + 35*n**3 - 31 - 8*n**3 + 21*n**2 + 31 = 0?
0, 1/9
Let t(a) = -a - 16. Let i(x) = -5*x**2 - 172*x + 418. Let o(k) = -i(k) - 3*t(k). Let o(u) = 0. What is u?
-37, 2
Let g(m) = -m**3 + m. Let h(x) be the second derivative of -2*x**5/5 + 4*x**3/3 + 20*x. Let t(w) = 3*g(w) - h(w). Factor t(r).
5*r*(r - 1)*(r + 1)
Let s(p) be the second derivative of -p**5/100 + p**4/10 + 6*p**3/5 + 4*p**2 - 42*p. Factor s(r).
-(r - 10)*(r + 2)**2/5
Let j(i) be the third derivative of -i**7/140 + i**6/80 - 2*i**2 - 170. Suppose j(x) = 0. What is x?
0, 1
Let r(m) be the first derivative of 1/4*m**5 + 3/2*m**2 - 3/8*m**4 - m**3 + 0*m + 1. Let c(y) be the second derivative of r(y). What is o in c(o) = 0?
-2/5, 1
Let j(m) be the first derivative of -12/7*m + 2/7*m**3 - 7 - 3/7*m**2. Factor j(t).
6*(t - 2)*(t + 1)/7
Let v(d) be the second derivative of d**5/10 + 32*d**4/3 - 199*d**3/3 + 134*d**2 - 944*d. Factor v(j).
2*(j - 2)*(j - 1)*(j + 67)
Let g be 1862/(-798) + 2*(-388)/(-168). Suppose 2 - 12/7*y**3 + 12/7*y + 2/7*y**4 - g*y**2 = 0. Calculate y.
-1, 1, 7
Let s(l) be the first derivative of 9*l**7/280 + l**6/10 + l**5/10 + 11*l**3/3 - 5. Let w(v) be the third derivative of s(v). Factor w(i).
3*i*(3*i + 2)**2
Let g(t) be the second derivative of t**6/40 - 9*t**5/80 + t**4/16 + 3*t**3/8 - 3*t**2/4 - 350*t. What is z in g(z) = 0?
-1, 1, 2
Let l(g) be the first derivative of -12*g + 31 - 27/2*g**2 - 2*g**3. Suppose l(x) = 0. What is x?
-4, -1/2
Let p = 263 + -261. Let j(y) be the first derivative of -4/3*y**3 - 5 + 8*y + 2*y**p. Let j(n) = 0. Calculate n.
-1, 2
Let j = 12/29 + 179/58. Let h = j - 2. Let 0*y + 0*y**4 + 3/2*y**5 - h*y**3 + 0 + 0*y**2 = 0. What is y?
-1, 0, 1
Let p be 48/(-18)*((-561)/(-12) - 2). Let j = 120 + p. Factor 0*n + 8/3 - j*n**2.
-2*(n - 2)*(n + 2)/3
Find q such that -77/6*q**3 + 4/3 + 2/3*q - 9*q**2 - q**5 - 37/6*q**4 = 0.
-2, -1/2, 1/3
Let h(j) be the third derivative of -j**6/480 + 3*j**5/80 - 9*j**4/32 + j**3/3 + 9*j**2. Let v(o) be the first derivative of h(o). Find t, given that v(t) = 0.
3
Suppose -4*y + 70 + 126 = 0. Let r(u) be the first derivative of -49*u - u**3 - 3 + y*u - 4 + 3*u**2. Let r(q) = 0. What is q?
0, 2
Let y(j) be the third derivative of -j**7/1995 - 17*j**6/1140 - 8*j**5/285 + 13*j**2 + 5*j. Solve y(v) = 0 for v.
-16, -1, 0
Let q(d) be the second derivative of -d**4/21 - 10*d**3/21 + 12*d**2/7 - 24*d. Factor q(z).
-4*(z - 1)*(z + 6)/7
Let a(k) be the second derivative of -1/10*k**5 + 4/3*k**4 + 1/3*k**3 - 8*k**2 - 2*k + 0. Factor a(n).
-2*(n - 8)*(n - 1)*(n + 1)
Let z be -3 + (-6 - (-3 + -6)) + (-512)/(-5). Find d, given that -1/5*d**3 - z - 192/5*d - 24/5*d**2 = 0.
-8
Determine u so that -2/9*u**4 + 0 + 4/9*u + 2/9*u**2 - 4/9*u**3 = 0.
-2, -1, 0, 1
Let n(f) = -3*f**3 - 5*f**2 + 26*f - 13. Let h(p) = 23 - 51*p - 17 + p**3 + 9*p**2 + 21 + 5*p**3. Let o(d) = -5*h(d) - 9*n(d). Factor o(w).
-3*(w - 2)*(w - 1)*(w + 3)
Let r(h) be the second derivative of -7*h**7/1620 + 7*h**6/810 - h**5/135 + 7*h**4/12 - 16*h. Let c(y) be the third derivative of r(y). Factor c(q).
-2*(7*q - 2)**2/9
Let q(f) be the first derivative of f**3/4 - 87*f**2/4 - 177*f/4 - 202. Suppose q(a) = 0. Calculate a.
-1, 59
Let i be 2/3 + 1 + (6 - 7). Suppose -1/6*k**2 + i + 1/2*k = 0. Calculate k.
-1, 4
Suppose -14 = -2*w - 45*t + 41*t, -3*t = -6. Let x(n) = -n**3 - 5*n**2 + 3. Let m be x(-5). Factor -w*d**4 - 4*d - 9*d**m + 6*d**4 + 4*d - 3*d + 9*d**2.
3*d*(d - 1)**3
Let m be 2/(-7) - (-2 + (-45)/35). Factor 11*a**3 - m*a**3 - 3*a**2 + 3 + 0*a - 15*a + 7*a**3.
3*(a - 1)*(a + 1)*(5*a - 1)
Let r(n) be the second derivative of -n**6/1620 - n**5/270 - n**4/108 + 2*n**3/3 - 3*n. Let t(a) be the second derivative of r(a). Factor t(g).
-2*(g + 1)**2/9
Factor 0*k - 2/7*k**5 - 16/7*k**3 - 18/7*k**4 + 0 + 0*k**2.
-2*k**3*(k + 1)*(k + 8)/7
Suppose -q = 4 - 10. Let n(b) be the first derivative of -q + 0*b - b**2 - 2/9*b**3. Factor n(g).
-2*g*(g + 3)/3
Let -120/7*h + 172/7*h**2 - 4/7*h**5 + 32/7 - 116/7*h**3 + 36/7*h**4 = 0. What is h?
1, 2, 4
Suppose -2693*u = -2732*u + 15 + 63. Let -2/5*t**4 + 0*t - 4/5*t**u + 0 - 6/5*t**3 = 0. Calculate t.
-2, -1, 0
Let v(h) be the first derivative of h**3/3 - h - 11. Let x(a) = -a**3 + 3*a**2 - 4. Let g(k) = -20*v(k) + 5*x(k). Factor g(t).
-5*t**2*(t + 1)
Suppose -3*y - y + 18 = -2*n, -2*y - 6 = 2*n. Let u(i) be the first derivative of 1/3*i**3 + 3/2*i**2 + 1 + y*i. Solve u(f) = 0.
-2, -1
Let t(p) = 42*p**3 + 380*p**2 + 17*p - 7. Let g be t(-9). Factor -y**4 + 0*y**3 + 1/4*y + 3/4*y**g + 0.
-y*(y - 1)*(2*y + 1)**2/4
Determine f so that -418*f**4 - 3*f**5 + 838*f**4 - 414*f**4 + 3*f - 3*f**2 - 3*f**2 = 0.
-1, 0, 1
Suppose -o - 8*o + 9 = 0. Factor 5*m**2 - 5 - 3*m**2 - 6*m**3 + 0*m**2 + 2*m**4 + 6*m + o.
2*(m - 2)*(m - 1)**2*(m + 1)
Suppose -n + 9 = 3*m - 3, 9 = -m + 4*n. Solve 60*k**3 - 52*k**m - 23*k - 25*k + k**5 - 6*k**4 + 16*k**2 + 32 = 0 for k.
-2, 2
Let x(q) be the second derivative of -q**7/630 + q**6/180 + q**5/15 - 7*q**4/4 - 15*q. Let f(t) be the third derivative of x(t). Factor f(a).
-4*(a - 2)*(a + 1)
Let n(t) be the third derivative of -t**5/180 - 4*t**4/9 - 128*t**3/9 - 34*t**2. Find k, given that n(k) = 0.
-16
Find m, given that -13/2*m - m**2 - 5 + 1/2*m**3 = 0.
-2, -1, 5
Suppose 0*f = -2*y + 4*f - 672, -5 = -5*f. Let x = y - -1682/5. Suppose -x*u - 16/5*u**2 + 4/5 = 0. Calculate u.
-1, 1/4
Let n(a) = -5*a**3 + 13*a - 179*a + 44*a**2 + 126 + 32*a. Let f(i) = -5*i**3 + 45*i**2 - 135*i + 125. Let g(y) = 6*f(y) - 5*n(y). Factor g(z).
-5*(z - 6)*(z - 2)**2
Let w be 1*(-2)/10 + 14 + 339/(-30). Find t such that 0 - t**3 + 3/2*t**4 + 0*t + 0*t**2 + w*t**5 = 0.
-1, 0, 2/5
Let j(v) = 3*v - 4. Let t be j(2). Let w = 0 + t. Let 2/5*u + 6/5*u**w - 2/5 - 4/5*u**4 - 2/5*u**3 = 0. What is u?
-1, 1/2, 1
Let p(j) = -j**3 + 10*j**2 - 12*j + 3. Let o be p(9). Let k be (18/o)/(6/(-4))*3. Determine h, given that 3/4*h**3 + 0 + k*h**4 - 3/4*h**2 + 0*h = 0.
-1, 0, 1/2
Let z be (42/84)/(6/(-8) + 1). Find a, given that 4/3*a**5 - 38/9*a**4 + 44/9*a**3 - 22/9*a**z + 0 + 4/9*a = 0.
0, 1/2, 2/3, 1
Let z(r) be the first derivative of -21*r**5/5 - 39*r**4/2 - 20*r**3 + 12*r**2 + 259. Find w such that z(w) = 0.
-2, 0, 2/7
Let h(l) be the second derivative of -l**6/70 - 6*l**5/35 + 19*l**4/28 - 5*l**3/7 - 6*l - 12. Determine c so that h(c) = 0.
-10, 0, 1
Let w be -4*35/28 + 10. Let b(r) be the first derivative of 0*r**3 + 0*r + 0*r**2 + 4/5*r**w + 2*r**4 - 3. Solve b(y) = 0.
-2, 0
Let l be (-2)/((-30)/(-595)) + 4. Let k = 217/6 + l. Factor -5/2*a**2 - 4*a - 2 - k*a**3.
-(a + 1)*(a + 2)**2/2
Suppose -11*q = -673 - 1274. Let p = q + -1591/9. Solve -p*s + 2/9 - 4/9*s**2 = 0 for s.
-1, 1/2
Let c be 45*(10/(-6))/((-10)/(-20)). Let t = c + 152. Factor 0 - 1/4*d**t + d**3 - 3/4*d**4 + 0*d.
-d**2*(d - 1)*(3*d - 1)/4
Suppose 0*a + 2/7*a**3 + 0 + 2*a**2 = 0. What is a?
-7, 0
Let -3/4*w**3 + 9/4*w + 0 - 3/2*w**2 = 0. Calculate w.
-3, 0, 1
Let p(u) be the second derivative of u**4/12 + 5*u**3/6 + 2*u**2 - u - 89. Find c, given that p(c) = 0.
-4, -1
Let i(x) be the second derivative of -1/3*x**3 + 0*x**2 - 1/12*x**4 - 1/360*x**6 + 1/40*x**5 + 0 - 8*x. Let f(p) be the second derivative of i(p). Factor f(m).
-(m - 2)*(m - 1)
Let h(f) be the second derivative of f**8/1680 - 2*f**7/315 - f**6/36 - 2*f**4/3 + 10*f. Let q(t) be the third derivative of h(t). Factor q(a).
4*a*(a - 5)*(a + 1)
Let x(k) be the third derivative of -k**7/315 - k**6/90 + 7*k**5/90 - k**4/9 - 57*k**2. What is t in x(t) = 0?
-4, 0, 1
Let u(m) = 5*m**5 - 5*m**4 + 10*m**3 + 4*m**2 + 2*m. Let j(l) = 7*l**5 - 5*l**4 + 12*l**3 + 6*l**2 + 3*l. Let z(b) = -4*j(b) + 6*u(b). Let z(q) = 0. What is q?
0, 2, 3
Let u = -379 - -382. Let v(p) be the first derivative of 0*p**2 + 0*p + 6 - 1/16*p**4 - 1/20*p**5 + 0*p**u. Factor v(j).
-j**3*(j + 1)/4
Let o be (-4)/22*((-732)/(-48) - 18). Factor 9/2 + 3*b + o*b**2.
(b + 3)**2/2
Let l(g) be the second derivative of 0*g**3 + 0 - 1/12*g**4 + 2/3*g**2 + 13*g - 1/60*g**5. Factor l(c).
-(c - 1)*(c + 2)**2/3
Let z = -130/17 - -1238/153. Factor -2/9*n**3 - 2/3*n**4 + 0 - z*n**5 + 0*n + 0*n**2.
-2*n**3*(n + 1)*(2*n + 1)/9
Let r(s) = s**3 - 8*s**2 + 14*s + 8. Let c be r(5). Let b(k) be the first derivative 