.
2*u**2*(u + 1)**2*(u + 2)/9
Let b = -26552 + 26556. What is l in -8/15*l**2 + 2/15*l**b - 8/15*l + 2/15*l**3 + 0 = 0?
-2, -1, 0, 2
Let w(u) be the first derivative of u**4 - 28*u**3/3 - 80*u**2 - 176*u + 81. Factor w(b).
4*(b - 11)*(b + 2)**2
Suppose 3*p = 5*w - 17, w - 3*p = -p + 9. Let y(o) = -o**2 + o + 1. Let t(n) = 12*n**2 - 28*n - 24. Let l(s) = w*t(s) + 16*y(s). Factor l(u).
-4*(u + 1)*(u + 2)
Let o(i) = i**3 + 3*i**2 + i. Let j be o(-3). Let k(n) = -n**2 - 4*n. Let y be k(j). Solve 4*s + 2 - 4*s**3 - y + 0*s**3 - 3 + 4*s**2 = 0 for s.
-1, 1
Let r = -99 - -100. Suppose -2*i = -5*w + 25, -14 = w + 3*i - 2. Let -r + 3/2*x + 1/2*x**2 + 1/2*x**4 - 3/2*x**w = 0. Calculate x.
-1, 1, 2
Let f(i) be the second derivative of -i**6/1980 + i**5/660 + i**4/66 - 4*i**3/3 - 16*i. Let m(j) be the second derivative of f(j). What is u in m(u) = 0?
-1, 2
Let k(v) be the third derivative of -v**10/831600 - v**9/166320 - v**8/110880 - 2*v**5/15 - 3*v**2. Let n(f) be the third derivative of k(f). Factor n(j).
-2*j**2*(j + 1)**2/11
Let j = 9 - -5. Let l be 23/j + ((-87)/21 - -4). Factor 3 - l*t + 3/2*t**3 + 3/2*t**4 - 9/2*t**2.
3*(t - 1)**2*(t + 1)*(t + 2)/2
Let x(f) be the third derivative of -f**10/120960 + f**8/26880 + 2*f**4/3 - 9*f**2. Let k(s) be the second derivative of x(s). Factor k(q).
-q**3*(q - 1)*(q + 1)/4
Suppose -1044 = -4*y + 4*s, 4*s = 4*y - 9*y + 1296. Let j = y - 1816/7. Factor j*p**2 - 12/7 + 8/7*p.
4*(p - 1)*(p + 3)/7
Let a(r) be the second derivative of -5*r**4/12 + 95*r**3/6 - 120*r**2 + 459*r. Factor a(j).
-5*(j - 16)*(j - 3)
Suppose 272*n - 265*n = 0. Let h(d) be the third derivative of -1/390*d**5 - 2/39*d**4 + 2*d**2 + n*d - 16/39*d**3 + 0. Determine o so that h(o) = 0.
-4
Let b(u) be the second derivative of u**5/80 + 7*u**4/48 + 11*u**3/24 + 5*u**2/8 + 9*u + 22. Factor b(a).
(a + 1)**2*(a + 5)/4
Solve -12/5*p**4 + 0*p - 9/5*p**3 - 3/5*p**5 + 0*p**2 + 0 = 0.
-3, -1, 0
Let c = -13990 + 139901/10. Factor -1/5 + 1/10*j**2 + c*j.
(j - 1)*(j + 2)/10
Let n(g) = -2*g**2 - 3*g + 51. Let l(t) = -3*t**2 - 7*t + 104. Let p(z) = 3*l(z) - 7*n(z). Factor p(o).
5*(o - 3)*(o + 3)
Let k be 1*7/(35/10). Factor 2*h - 6*h**4 - 2*h**2 + 6*h**3 + k*h**5 + 3*h - 5*h.
2*h**2*(h - 1)**3
Let d(p) be the third derivative of -p**8/112 + 3*p**7/10 - 119*p**6/40 + 79*p**5/20 + 15*p**4 - 50*p**3 - 2*p**2 - 6*p. Find l, given that d(l) = 0.
-1, 1, 10
Let g = -1393/9 + 155. Suppose -p + 5*m = -6 - 8, 2*m = 4*p - 20. Solve -g*r**2 + 0 - 2/9*r + 2/9*r**3 + 2/9*r**p = 0.
-1, 0, 1
Let b(m) = 10*m**2 - 93*m + 579. Let k(c) = 12*c**2 - 92*c + 580. Let y(z) = -4*b(z) + 3*k(z). Suppose y(x) = 0. What is x?
12
Let m(n) be the second derivative of n**9/16632 + n**8/9240 + n**3/3 + 11*n. Let x(t) be the second derivative of m(t). Determine f so that x(f) = 0.
-1, 0
Let k(w) be the third derivative of w**9/35280 - w**7/5880 - w**4/6 - 4*w**2. Let r(s) be the second derivative of k(s). Factor r(q).
3*q**2*(q - 1)*(q + 1)/7
Let d be 28/(-7) - (-2 - 4). Let g be ((-2)/6*-1)/d. Find v such that 0 + 0*v**3 + 0*v + g*v**4 - 1/6*v**2 = 0.
-1, 0, 1
Solve -120*s**3 - 55*s + 176*s**2 - s**4 + 0*s**4 + 34*s**3 + 55*s = 0.
-88, 0, 2
Find m, given that -64 + 16*m + 64 - 12*m**2 + 7*m**3 - 11*m**3 = 0.
-4, 0, 1
Suppose -6*w + 2*w = -16. Suppose 0*n**w - 5*n + 5*n**2 + 5*n**3 - 7*n**4 + 2*n**4 + 0*n**4 = 0. What is n?
-1, 0, 1
Let y(q) = 6*q**2 + 3*q - 6. Let z(r) = r**3 + 13*r**2 + 6*r - 13. Let s be (-20)/(-7) + (-3)/(-21). Let b(n) = s*z(n) - 7*y(n). Factor b(x).
3*(x - 1)**2*(x + 1)
Let q(j) be the second derivative of j**7/70 - 11*j**6/75 + j**5/4 - j**4/10 - 27*j + 2. Let q(n) = 0. What is n?
0, 1/3, 1, 6
Let z(w) be the third derivative of -w**8/50400 + w**7/6300 - w**6/2700 - 11*w**4/24 + 32*w**2. Let o(q) be the second derivative of z(q). Factor o(c).
-2*c*(c - 2)*(c - 1)/15
Let t(z) be the first derivative of 5*z**4/4 + 50*z**3/3 - 65*z**2/2 - 110*z + 611. Factor t(g).
5*(g - 2)*(g + 1)*(g + 11)
Let p(q) = 8*q - 107. Let r be p(14). Let b be 3/r*(-5)/(-15). Factor 2/5*u + 0 - b*u**2.
-u*(u - 2)/5
Let m = 11851 - 11848. What is y in -1 - 1/2*y**m - 3/2*y**2 + 5/2*y + 1/2*y**4 = 0?
-2, 1
Let m(c) be the third derivative of c**7/1260 + c**6/720 - c**5/72 + c**4/48 + 125*c**2. Factor m(y).
y*(y - 1)**2*(y + 3)/6
Let j = 141 + -138. Let v be (-72)/(-15) + (-1)/(-5). Factor j - 5*p**2 - 2 - 1 - v*p.
-5*p*(p + 1)
Let w(g) be the first derivative of 1/14*g**4 + 0*g + 2/7*g**2 + 7 + 2/7*g**3. Factor w(f).
2*f*(f + 1)*(f + 2)/7
Determine d so that -80/13*d**3 - 70/13*d + 174/13*d**2 - 32/13*d**4 + 8/13 = 0.
-4, 1/4, 1
Let o be -5 + 378/78 - (-123)/208. Let p = o + 1/16. Find g such that 1/3*g + 1/6*g**2 - p = 0.
-3, 1
Let a(h) be the third derivative of h**5/300 + h**4/20 - 14*h**2 + 3*h. Find i, given that a(i) = 0.
-6, 0
Let o(m) be the first derivative of -5*m**6/4 + 12*m**5/5 + 117*m**4/8 + 17*m**3 + 6*m**2 + 161. Let o(w) = 0. What is w?
-1, -2/5, 0, 4
Let u be 30/(-9)*((-9)/(-6) - 3). Let p(j) be the third derivative of 0 + 0*j - 6*j**2 + 4/33*j**3 - 1/33*j**4 + 1/330*j**u. Factor p(g).
2*(g - 2)**2/11
Let x(v) = 2*v - 4. Let o be x(4). Let q = 4/21 + 22/105. Let -2/5*c - 2/5*c**o + q*c**3 + 0 + 2/5*c**2 = 0. Calculate c.
-1, 0, 1
Let i(y) = -5*y**3 - y**2 + 6*y. Let a(m) = -5*m**3 - m**2 + 6*m. Let r(f) = 5*a(f) - 4*i(f). Let r(l) = 0. What is l?
-6/5, 0, 1
Let v(k) = 3*k**4 + 3*k**3 + 4*k**2 + 2. Suppose -w + 5*w + 12 = 0. Let j(r) = -4*r**4 - 2*r**3 - 4*r**2 - 3. Let l(t) = w*v(t) - 2*j(t). Factor l(y).
-y**2*(y + 1)*(y + 4)
Let q be ((-4)/8)/(2/(-12)). Let i be q/(5/20*6). Determine h, given that h - h + 102*h**4 - 2*h**3 + h**i - 101*h**4 = 0.
0, 1
Let s(p) be the first derivative of -p**5/510 - p**4/102 - 9*p**2/2 + 4. Let c(u) be the second derivative of s(u). Solve c(r) = 0.
-2, 0
What is f in 4*f + 0 - 2/3*f**4 + 4*f**3 - 22/3*f**2 = 0?
0, 1, 2, 3
Suppose 36*d**3 + 120*d**2 + 4*d**4 + 42 + 176*d + 42 + 12 = 0. What is d?
-3, -2
Let 2/25*w**4 - 6/25*w**2 + 4/25*w**3 + 0*w + 0 = 0. What is w?
-3, 0, 1
Let s(r) be the first derivative of -r**6/2 - 12*r**5/5 + 3*r**4/4 + 4*r**3 - 822. Suppose s(m) = 0. Calculate m.
-4, -1, 0, 1
Suppose 2*s - 7*s = 3*g - 13, 3*s + 3*g = 9. Let t(h) be the third derivative of 0*h**3 - 3*h**s + 0*h + 0 + 1/8*h**4 - 1/20*h**5. Factor t(a).
-3*a*(a - 1)
Let g = 161/30 - 47/10. Suppose g*v**2 - 4/3 - 2/3*v = 0. What is v?
-1, 2
Let b(z) = 3*z**2 - 20*z + 13. Let c(x) = -3*x**2 + 21*x - 12. Let d be (-4)/3 - (-6)/(-9). Let o(t) = d*c(t) - 3*b(t). Let o(u) = 0. What is u?
1, 5
Let r(x) = 9*x**3 - 15*x**2 + 6*x. Let i be (6 + -11)*(-1 - 0). Let g(u) = -9*u**3 + 15*u**2 - 6*u. Let w(s) = i*r(s) + 4*g(s). Solve w(v) = 0 for v.
0, 2/3, 1
Factor 3/2*s**2 + 0*s + 0 - 3/4*s**4 - 3/4*s**3.
-3*s**2*(s - 1)*(s + 2)/4
Let q(k) be the first derivative of k**4 - 2*k**3/3 - 5*k**2 - 4*k - 273. What is p in q(p) = 0?
-1, -1/2, 2
Let v be (-15)/((-18150)/1001) - (-2)/(-20). Suppose -10/11*n**2 + 0 + 2/11*n**3 + v*n = 0. What is n?
0, 1, 4
Let w(c) = -c**3 - 18*c**2 - 18*c - 10. Let n be (-51)/6*(0 + 2). Let l be w(n). Factor v**2 - l*v + 7*v.
v**2
Let y be (-1)/(-3) - 2/(12/134). Let m = y - -24. Find q such that 2/3*q**3 + m*q + 2/3 + 2*q**2 = 0.
-1
Let w(n) = -n**2 - 304*n + 3. Let c be w(0). Factor 4/7*s + 0*s**2 - 2/7 + 2/7*s**4 - 4/7*s**c.
2*(s - 1)**3*(s + 1)/7
Determine g so that -4/7*g + 0 + 1/7*g**2 = 0.
0, 4
Factor 129*s + 20 - 46*s + 44*s**2 + 11*s**3 - 5*s**3 - 29*s + 20*s.
2*(s + 2)*(s + 5)*(3*s + 1)
Let r(q) be the second derivative of 15*q**4/4 + 70*q**3/3 + 15*q**2/2 - 13*q - 14. Factor r(k).
5*(k + 3)*(9*k + 1)
Let n(r) = -4*r + 36. Let z be n(9). Let p(g) be the third derivative of z*g + 1/72*g**4 + 0*g**3 + 0 - 1/360*g**5 + 3*g**2. What is c in p(c) = 0?
0, 2
Let k(y) = 9*y**2 + 13*y + 4. Let f(p) = p**2. Let i(o) = 3*o**2 - 3*o - 1. Let l(t) = 5*f(t) - i(t). Let m(v) = 6*k(v) - 26*l(v). Factor m(b).
2*(b - 1)*(b + 1)
Find t, given that 184*t**3 - 210*t**3 - 1 + 1 + 2*t**4 = 0.
0, 13
Let r be (-192)/(-9) - 6/(-9). Suppose -r = -2*k + 104. Suppose -3*s**2 - k + 72 - 3*s + 9*s + 0*s**2 = 0. Calculate s.
-1, 3
Let v(t) be the first derivative of -5*t**6/3 - 3*t**5 + 5*t**4/2 + 5*t**3 - 77. Suppose v(b) = 0. Calculate b.
-3/2, -1, 0, 1
Let y(w) be 