 second derivative of -y**4/3 - 32*y**3/3 - 40*y - 1. What is l in v(l) = 0?
-16, 0
Let r = -2421 + 2421. Let q(s) be the second derivative of -1/27*s**4 - 4/135*s**6 + 0*s**3 + 1/18*s**5 - 6*s + 0 + r*s**2 + 1/189*s**7. Solve q(k) = 0 for k.
0, 1, 2
Find t, given that 22*t**4 - 7*t**4 - 18*t**4 + 6*t**3 = 0.
0, 2
Let u = 1 + 3. Solve b - 6*b**4 - 5*b**u + 9*b**4 + 2*b**2 - b**5 = 0 for b.
-1, 0, 1
Determine n so that 0*n**2 - 2*n**2 - 252 + 0*n**2 + n**2 - n**2 - 46*n = 0.
-14, -9
Let g(a) be the third derivative of -1/480*a**5 - 1/48*a**4 + 4*a + 0 - 2*a**2 - 1/16*a**3. Factor g(i).
-(i + 1)*(i + 3)/8
Let i(s) be the first derivative of -3*s**5/20 + 35*s**4/12 - 16*s**3 - 18*s**2 - 9*s + 49. Let w(r) be the first derivative of i(r). Factor w(q).
-(q - 6)**2*(3*q + 1)
Let g be ((-6)/(-9))/((-400)/(-60))*4. Suppose 0*r + 2/5*r**5 - 2/5*r**2 + 0 + g*r**4 - 2/5*r**3 = 0. What is r?
-1, 0, 1
Let u(z) be the first derivative of -21*z**5/5 - 351*z**4/4 + 34*z**3 + 116. Factor u(k).
-3*k**2*(k + 17)*(7*k - 2)
Suppose -169 + 200 = 3*u - 5*b, 25 = -5*b. Find l, given that -2/11 + 2/11*l**u + 0*l = 0.
-1, 1
Let b(n) be the third derivative of n**6/24 - n**5/2 + 80*n**3/3 + 15*n**2. Factor b(h).
5*(h - 4)**2*(h + 2)
Let i(x) be the second derivative of -2*x**6/15 - 24*x**5/5 + 26*x**4 - 160*x**3/3 + 54*x**2 + 460*x. What is k in i(k) = 0?
-27, 1
Let r = -19727/5 + 3946. Factor 0 + 2/5*d**3 - r*d**2 - 2/5*d.
d*(d - 2)*(2*d + 1)/5
Factor 2*b**3 + 363*b - 1538 + 122*b**2 + 830*b + 605*b - 384.
2*(b - 1)*(b + 31)**2
Let b be 180/48 - (-3)/(-4). Let -b - 21*s + 21*s**3 + 6 - 6*s**2 + 3 = 0. What is s?
-1, 2/7, 1
Suppose 11*a - 3*a = 4*a. Suppose 5*t - 6 = y - 1, -t + 2 = a. Find b, given that -171/7*b**4 + 6/7 - 27/7*b + 21*b**3 - 15/7*b**2 + 60/7*b**y = 0.
-2/5, 1/4, 1
Let n(p) be the third derivative of p**7/280 + p**6/45 + 7*p**5/120 + p**4/12 + 7*p**3/3 - 32*p**2. Let b(m) be the first derivative of n(m). Factor b(v).
(v + 1)**2*(3*v + 2)
Let b(s) be the third derivative of s**5/390 + 7*s**4/78 + 8*s**3/13 - s**2 - 115*s. Factor b(t).
2*(t + 2)*(t + 12)/13
Let p be ((-12)/(-7))/3 - (-1482)/(-2912). Let n(x) be the second derivative of -p*x**4 + 4*x + 0 - 1/8*x**2 - 1/8*x**3 - 1/80*x**5. Let n(r) = 0. What is r?
-1
Let l(t) be the third derivative of t**8/1344 - t**7/84 + t**6/30 + t**5/120 - 17*t**4/96 + t**3/3 + 37*t**2. Suppose l(z) = 0. What is z?
-1, 1, 8
Suppose -4*r = -2*r - 2*c - 108, -138 = -3*r - 5*c. Let t = 51 - r. Factor 2/3*z + 4*z**3 + 8/3*z**2 + 8/3*z**4 + t + 2/3*z**5.
2*z*(z + 1)**4/3
Let p be 77/14 + 2/(-4)*1. Suppose -5*n + 4*n = -3*w - 12, 0 = 3*w + 12. Factor -b**3 - b**4 - 5*b**3 + n*b**5 + 2*b**2 + 7*b**4 - 2*b**p.
-2*b**2*(b - 1)**3
Let f(m) be the second derivative of -m**5/50 + 11*m**4/30 + 31*m**3/5 + 153*m**2/5 + 11*m - 1. Factor f(j).
-2*(j - 17)*(j + 3)**2/5
Let f be -4*(11/6)/(-11). Let c(k) be the third derivative of 0 + 2*k**2 - 3/4*k**4 + f*k**3 + 0*k + 7/30*k**5. Factor c(i).
2*(i - 1)*(7*i - 2)
Factor 7/5*m**3 - 22/5 - 8/5*m**2 - 37/5*m.
(m + 1)**2*(7*m - 22)/5
Let 25/3*n + 10/3*n**4 + 0*n**2 - 10/3 - 25/3*n**3 = 0. What is n?
-1, 1/2, 1, 2
Suppose -5*r + n + 58 = 0, -3*n - 12 + 3 = 0. Factor 33*t**2 + 9*t**4 - t**4 - 9*t - 20*t**4 - 13*t**3 - r*t**3.
-3*t*(t + 3)*(2*t - 1)**2
Let h(s) be the second derivative of 0*s**2 + 1/8*s**5 + 0 + 5*s + 5/48*s**4 + 0*s**3 + 1/24*s**6. Solve h(c) = 0.
-1, 0
Let i = -13453/39 - -345. Let o(z) be the first derivative of -3/26*z**4 - 4/13*z + 2/65*z**5 - 8 + i*z**3 + 3/13*z**2. Suppose o(s) = 0. Calculate s.
-1, 1, 2
Determine l so that 13*l - 53*l + 12*l**4 + 81*l**2 + 17*l - 12 - l - 73*l**3 + 16*l**3 = 0.
-1/4, 1, 2
Factor 25/2*h + 1/2*h**2 + 0.
h*(h + 25)/2
Let j(i) be the first derivative of -5*i**6/6 + i**5 + 5*i**4 - 20*i**3/3 - 25. Suppose j(b) = 0. Calculate b.
-2, 0, 1, 2
Let q(s) be the second derivative of 0 - 1/12*s**4 + 43*s - 7/4*s**2 + 5/4*s**3. Factor q(l).
-(l - 7)*(2*l - 1)/2
Let p(y) be the first derivative of 7*y**6/3 + 52*y**5/5 + 13*y**4/2 - 68*y**3/3 - 20*y**2 + 16*y + 27. Solve p(n) = 0.
-2, -1, 2/7, 1
Let l(i) be the first derivative of -i**7/945 - i**6/1620 + 4*i**5/135 + i**4/27 + 13*i**3/3 - 3. Let a(m) be the third derivative of l(m). Factor a(k).
-2*(k - 2)*(k + 2)*(4*k + 1)/9
Let p(c) be the third derivative of -1/96*c**6 + 5/96*c**4 - 14*c**2 + 1/24*c**5 - 5/12*c**3 + 0*c + 0. Solve p(h) = 0 for h.
-1, 1, 2
Let g(p) be the third derivative of p**6/48 - 5*p**5/16 + 5*p**4/4 + 10*p**3/3 + 23*p**2. Solve g(l) = 0.
-1/2, 4
Let o(t) = t**2 + 5. Suppose 5*r = r - 28. Let h = r + 12. Let l(n) = n**2 + 4. Let q(j) = h*o(j) - 6*l(j). Factor q(m).
-(m - 1)*(m + 1)
Let f(i) be the third derivative of -i**5/210 - i**4/42 - i**3/21 + i**2 - 22*i. Factor f(g).
-2*(g + 1)**2/7
Let b be (-560)/(-80) + (2/(-4))/((-5)/(-50)). Factor -16/5*h - 2*h**b - 6/5.
-2*(h + 1)*(5*h + 3)/5
Let l(t) be the second derivative of 0*t**5 - 1/60*t**6 + 5*t + 0 + 0*t**4 + 0*t**3 - 3/2*t**2. Let r(y) be the first derivative of l(y). Factor r(d).
-2*d**3
Suppose 0*p**3 - 2*p**3 + 5*p**3 - 6*p**2 = 0. What is p?
0, 2
Let d be 3*(360/27)/8. Let l(s) be the first derivative of 0*s**2 + 0*s + 1/6*s**4 + 1/30*s**d + 8 + 1/6*s**3. Suppose l(a) = 0. Calculate a.
-3, -1, 0
Let z(g) be the first derivative of g**7/210 + g**6/20 + 2*g**5/15 + 5*g**2/2 + 24. Let x(i) be the second derivative of z(i). Find v such that x(v) = 0.
-4, -2, 0
Let d be 9/15*3318/(-9). Let n = 222 + d. Factor n + 2/5*p**2 + 6/5*p.
2*(p + 1)*(p + 2)/5
Let v(s) = -67*s**2 + 5*s - 6. Let l(b) = 78*b**2 - 5*b + 6. Let x(w) = -6*l(w) - 7*v(w). Suppose x(h) = 0. Calculate h.
2, 3
Let t = 9 + -5. Suppose -t*r + l + 17 = 0, 0 = 5*r + 2*l - 7 - 11. Factor -v**4 - 7*v**2 - 2*v**r + 4*v**3 + 6*v**2.
-v**2*(v - 1)*(3*v - 1)
Suppose 18 = 24*u - 21*u. Factor -6*y + u + 3*y**2 - 1 - y**2 - y**2.
(y - 5)*(y - 1)
Let z(o) = -24*o**4 + 84*o**3 - 126*o**2 + 87*o - 27. Let r(l) = l**5 - l**4 + l**3 - l**2 + l + 1. Let j(v) = -3*r(v) - z(v). Factor j(t).
-3*(t - 4)*(t - 2)*(t - 1)**3
Let o(c) = -15*c + 177. Let k be o(11). Let r = -4 + 6. Let -44*y**2 + 5*y**r + 18*y**3 + 2*y + 34*y - k - 3*y**4 = 0. What is y?
1, 2
Let a(l) be the second derivative of -l**2 - 1/3*l**3 + 1/6*l**4 - l + 0. Let v(s) = -2*s**2 + 2*s + 3. Let d(k) = -6*a(k) - 4*v(k). Factor d(j).
-4*j*(j - 1)
Suppose -45*t + 64 = -26. Let y(m) be the first derivative of 9/8*m**4 + 3/10*m**5 + 0*m - 3/4*m**t - 1/2*m**3 - 8 - 1/2*m**6. Solve y(b) = 0.
-1, -1/2, 0, 1
Let s(o) = 2*o - 4. Let a be s(1). Let h(k) = -6*k**2 + 2*k + 2. Let w(q) = -7*q**2 + 3*q + 3. Let i(b) = a*w(b) + 3*h(b). Solve i(u) = 0 for u.
0
Let r(a) be the second derivative of -a**5/10 - a**4/12 + 2*a + 16. What is w in r(w) = 0?
-1/2, 0
Determine f so that -2/7*f**4 + 0 + 36/7*f**3 + 156/7*f - 142/7*f**2 = 0.
0, 2, 3, 13
Factor -96 + 357*s**2 + 96*s + 80 + 204*s**3 - 41*s**2.
4*(s + 1)*(3*s + 2)*(17*s - 2)
Suppose 266*j + 29 - 29 = 0. Factor -6*z**4 + 15*z**3 + 3/5*z**5 + j + 0*z**2 + 0*z.
3*z**3*(z - 5)**2/5
Suppose 5*c - c = k - 95, 3*k + 37 = -2*c. Let x be -2*(-4 - c/6). Factor -3*m - 2*m**4 - 2/3 - 16/3*m**2 - x*m**5 - 14/3*m**3.
-(m + 1)**4*(m + 2)/3
Let h(g) = -5*g**4 - 7*g**3 + g**2. Let m(k) = 10*k**4 + 14*k**3 - k**2. Suppose -5*u + 29 = 3*l, -2*l = -l - u + 1. Let o(f) = l*m(f) + 5*h(f). Factor o(s).
s**2*(s + 1)*(5*s + 2)
Let a = 3/155 - -611/465. Let m(n) = -n**3 + 14*n**2 - 12*n - 11. Let o be m(13). Factor -a*u - 2/3*u**o + 0.
-2*u*(u + 2)/3
Let g(c) be the first derivative of 2*c**5/35 - c**4/7 - 2*c**3/7 + 122. Factor g(b).
2*b**2*(b - 3)*(b + 1)/7
Let -64/7*o + 4/7*o**3 - 12/7*o**2 - 48/7 = 0. Calculate o.
-2, -1, 6
Let y = -1011 - -7081/7. Factor 0 - y*a - 2/7*a**2.
-2*a*(a + 2)/7
Let g be 8/(-16) + (27/6 - -1). Let p(w) be the first derivative of 1/6*w**4 + 0*w - 1 + 0*w**2 - 2/15*w**g + 4/9*w**3. Find f, given that p(f) = 0.
-1, 0, 2
Let b(z) = -7*z + 5. Let h be b(-5). Let t be h/16*20/2. Factor -6*m**2 - 2*m**4 - t*m**3 + 19*m**3 - 4*m + 2*m.
-2*m*(m + 1)**3
Let z(l) be the first derivative of -2*l**7/105 - l**6/15 + l**4/3 + 2*l**3/3 - 3*l**2/2 + 5. Let u(g) be the second derivative of z(g). Factor u(p).
-4*(p - 1)*(p + 1)**3
Suppose -173*v + 438 + 254 = 0. Determine b, given that 6/1