8*o**2 + 0 = 0.
-15, 0, 1
Let l(t) be the first derivative of t**7/120 + t**6/120 + 2*t**3/3 - 1. Let n(i) be the third derivative of l(i). Solve n(x) = 0.
-3/7, 0
Let a(x) = x**2 - x. Let c(v) = v**3 + 8*v**2 - 11*v - 8. Let b(d) = 10*a(d) - 2*c(d). Let b(r) = 0. What is r?
-4, -1, 2
Suppose -32/7*m - 1/7*m**3 + 15/7*m**2 - 48/7 = 0. Calculate m.
-1, 4, 12
Let b(p) be the second derivative of 2*p**4/3 - 2*p**3/15 + 26*p. Factor b(y).
4*y*(10*y - 1)/5
Let x be 21 + 12/((-1200)/2060). Solve 8/5*o**4 + x*o**3 + 2/5*o**5 + 0*o - 12/5*o**2 + 0 = 0.
-3, -2, 0, 1
Suppose 0 = -6*w + 4*w + 12. Find v such that -7*v**2 + 483 - w*v**3 - 487 + 14*v + 3*v**2 = 0.
-2, 1/3, 1
Let n be 100/10 + -7 - (-20)/(-7). Let k(x) be the first derivative of -16/7*x**2 - 10/7*x**3 + 2/7*x**5 + 9 + n*x**4 - 8/7*x. Find a, given that k(a) = 0.
-1, -2/5, 2
Let j = -33542 + 33544. Factor -9/2 - 21/4*c - 3/4*c**j.
-3*(c + 1)*(c + 6)/4
Let g(b) be the first derivative of b**5/15 - 2*b**3/9 + 8*b + 9. Let l(o) be the first derivative of g(o). Determine d so that l(d) = 0.
-1, 0, 1
Suppose i - 3*s + 8 = 0, 5*i + 14*s - 9*s = 40. Let p(a) be the second derivative of -1/54*a**i + 0*a**2 + 0 - 2/27*a**3 - 2*a + 1/90*a**5. Solve p(v) = 0.
-1, 0, 2
Let w(v) be the third derivative of 1/15*v**4 + 0 - 5*v**2 + 1/150*v**5 + 1/5*v**3 + 0*v. Let w(s) = 0. Calculate s.
-3, -1
Let g = -17977/5 + 3596. Find m, given that -g*m**2 + 0*m + 3/5 = 0.
-1, 1
Let x be 2 + (-342)/45 - -6. Factor x*j**4 + 0 - 2*j**2 - 6/5*j**3 + 2/5*j**5 - 4/5*j.
2*j*(j - 2)*(j + 1)**3/5
Factor -2/7*d**3 + 232/7 - 16*d - 118/7*d**2.
-2*(d - 1)*(d + 2)*(d + 58)/7
Determine z, given that -132/5*z + 1/10*z**2 + 8712/5 = 0.
132
Let x(y) = y**4 - 59*y**3 + 45*y**2 + 63*y - 46. Let c(o) = -15*o**4 + 825*o**3 - 630*o**2 - 880*o + 645. Let r(t) = 4*c(t) + 55*x(t). Factor r(q).
-5*(q - 10)*(q - 1)**2*(q + 1)
Let -54/11*d**2 + 150/11*d**3 - 2086/11*d - 14/11*d**4 - 588/11 = 0. What is d?
-3, -2/7, 7
Factor 200/7 - 240/7*w - 2/7*w**3 + 6*w**2.
-2*(w - 10)**2*(w - 1)/7
Let y(t) be the third derivative of 5*t**2 - 1/240*t**6 - 9/16*t**4 + 0 - 9/4*t**3 + 0*t - 3/40*t**5. Factor y(k).
-(k + 3)**3/2
Let p(h) be the third derivative of -h**8/1344 - h**7/420 + h**6/40 - 7*h**5/120 + 5*h**4/96 - 29*h**2 + 1. Factor p(b).
-b*(b - 1)**3*(b + 5)/4
Let w(y) = -y - 3 + 1 + 6*y**2 - y**2 - 4*y**2. Let u be w(-2). Factor 4*x + u*x - 1 - 7*x**2 - 9*x**2 + 0*x.
-(4*x - 1)**2
Let g be (-8 + -17)/(1/(-1 - 0)). Let x(v) = -v**2 + 23*v + 53. Let m be x(g). Factor 1/2*a**m + 0 + a - 3/2*a**2.
a*(a - 2)*(a - 1)/2
Let z(c) = c**3 + c**2 + 2. Let d be z(0). Suppose 0*a - 7*a + 21 = 0. Let -4*n**a - 3*n**2 + 11*n**d + 24*n - 28*n = 0. Calculate n.
0, 1
Let l(v) be the third derivative of -v**5/150 + 7*v**4/30 - 49*v**3/15 + 99*v**2 + v. Determine s, given that l(s) = 0.
7
Let k be (-385)/(-308) - (-1)/4. Let -2*r**3 - r**2 + k + 2*r - 1/2*r**4 = 0. What is r?
-3, -1, 1
Suppose -5*g = 4*u + 7, 0 = -4*u + 2*g - 38 + 52. Factor -1/5*w**4 + 2/5*w**u - 1/5 + 0*w**3 + 0*w.
-(w - 1)**2*(w + 1)**2/5
Let h(r) = r**2 - 1. Let m(j) = 4*j - 6*j**2 + 4*j**2 - 2*j**2. Let z(f) = 6*h(f) + 2*m(f). Let z(v) = 0. Calculate v.
1, 3
Let n(s) be the second derivative of -s**7/7560 + s**6/2160 + s**5/180 + 5*s**4/6 - 9*s. Let x(j) be the third derivative of n(j). Factor x(a).
-(a - 2)*(a + 1)/3
Let x(k) be the second derivative of k**5/40 + 11*k**4/72 + k**3/6 - 22*k - 1. Factor x(r).
r*(r + 3)*(3*r + 2)/6
Let d(r) = 31*r**4 - r**3 + 8*r**2 - 3 - 13*r**4 - 19*r**4. Let v(o) = o**2 + o - 1. Let x(a) = d(a) - 3*v(a). Let x(i) = 0. Calculate i.
-3, 0, 1
Let x(q) = q**2 + 2*q + 3. Let u be x(-4). Let g = u - 7. Factor -g*l + l + 4*l**2 - l + 4*l**3 - 4*l.
4*l*(l - 1)*(l + 2)
Find w such that 3*w**3 + 54*w**2 + 483 + 18*w**2 + 495*w + 243 = 0.
-11, -2
Let z be (3 + 132/8)*(-6)/(-9). Factor 109 + 2*u**3 - z*u**2 - 47 - 52 + 13*u.
(u - 5)*(u - 2)*(2*u + 1)
Let c(y) = 15*y**2 - 10*y - 20. Let l(d) = -23*d**2 + 4 + 9 + 17 + 15*d. Let h(t) = -8*c(t) - 5*l(t). Factor h(a).
-5*(a - 2)*(a + 1)
Let h(q) be the first derivative of -23 - 64/3*q**3 + 80*q**2 - 100*q. Factor h(c).
-4*(4*c - 5)**2
Let u = 48 - 26. Factor -34*p**2 - 20*p**2 + 3*p**3 + u*p**3 + 19*p**2 + 10*p.
5*p*(p - 1)*(5*p - 2)
Let m be (-18)/(-45) - 16/(-10). Suppose 0 = -5*w + 3*p + 32, p = w - m*w. Let -104*o + 104*o + 12*o**4 - 8*o**3 - w*o**5 = 0. What is o?
0, 1, 2
Let q be 702/42 + (-4)/(-14). Let u = q - 16. Let w(n) = -n + 1. Let m(s) = -2*s**2 + 6*s - 6. Let o(b) = u*m(b) + 6*w(b). What is j in o(j) = 0?
0
Let j be (-44)/5*(-60)/(-8). Let f = 332/5 + j. Solve 4/5*y**3 - 2/5*y - 2/5 + 4/5*y**2 - f*y**5 - 2/5*y**4 = 0 for y.
-1, 1
Suppose -2/5*n**2 + 0 - 2/15*n**3 - 4/15*n = 0. Calculate n.
-2, -1, 0
Suppose -11*m - 49 + 71 = 0. What is x in -1/3*x**m + 0 + 1/3*x = 0?
0, 1
Let c(p) be the first derivative of 2*p**7/21 + 4*p**6/15 - 2*p**4/3 - 2*p**3/3 + 3*p + 1. Let x(h) be the first derivative of c(h). Factor x(i).
4*i*(i - 1)*(i + 1)**3
Let -3/5*i + 2/5 + 1/5*i**2 = 0. Calculate i.
1, 2
Let d(t) be the first derivative of 0*t**3 + 3/4*t**4 + 0*t**2 + 0*t + 10 + 3/5*t**5. Determine x, given that d(x) = 0.
-1, 0
Let c(k) be the second derivative of 4/9*k**3 + 1/60*k**5 - 18*k + 0 + 1/4*k**4 + 0*k**2. Determine x so that c(x) = 0.
-8, -1, 0
Let s(h) be the third derivative of 3*h**6/10 + 43*h**5/15 - 32*h**4/3 + 8*h**3 - 17*h**2 - 3*h. Factor s(n).
4*(n - 1)*(n + 6)*(9*n - 2)
Let s(q) = -18*q**4 + q**3 + 54*q**2 - 29*q - 13. Let w(y) = 9*y**4 - 27*y**2 + 14*y + 6. Let b(a) = 2*s(a) + 5*w(a). Factor b(p).
(p - 1)**2*(p + 2)*(9*p + 2)
Suppose 0 = -8*z + 12*z - 8. Factor 4*v**z + 30*v + 45 - 9*v**2 + 10*v**2.
5*(v + 3)**2
Suppose 43*i**4 - 4*i**4 + 92*i**2 - 8*i**2 - 111*i**3 + 7*i**2 - 23*i + 2*i**4 + 2*i**5 = 0. What is i?
-23, 0, 1/2, 1
Let f(l) = l**3 - 5*l**2 + l + 1. Let p be f(5). Let r be (8/7)/(p/21). Let -16*i - 32 - r*i**2 + 4*i**2 - 2*i**2 = 0. Calculate i.
-4
Suppose 0*m - 16 = -4*m. Solve -n**5 + 38*n**2 - n**5 + 2*n**3 - 42*n**2 + m*n**3 = 0.
-2, 0, 1
Let m be (-3 + 77/33)*15/(-400). Let p(n) be the third derivative of 3/20*n**5 + 0 + 5/8*n**4 - 2*n**2 + 0*n - 1/70*n**7 - m*n**6 + n**3. Factor p(c).
-3*(c - 2)*(c + 1)**3
Let y = -34 - -22. Let v be 2/20 - 6/y. Let -v*a + 3/5*a**2 + 0 = 0. Calculate a.
0, 1
Let b(p) = -5*p**2 - 7*p + 10. Let c(w) = 10*w**2 + 15*w - 20. Let j(t) = -2*t**2 + 16*t - 2. Let m be j(8). Let x(g) = m*c(g) - 5*b(g). Factor x(o).
5*(o - 1)*(o + 2)
Factor -998*f + 175*f**2 - 1 + 938*f + 55*f**4 - 170*f**3 + 1.
5*f*(f - 1)**2*(11*f - 12)
Let h = -41125/3 - -13709. Let 0 - h*j**2 - 7/3*j**3 - 5/3*j**4 + 0*j = 0. Calculate j.
-1, -2/5, 0
Factor 1/4*q**3 + 21/4*q**2 + 0*q + 0.
q**2*(q + 21)/4
Let c(i) = -i**3 + i**2 + i + 5. Let v be c(0). Let t(o) = 2*o**2 - 2*o - 9. Let q(u) = u**2 - u - 4. Let l(s) = v*q(s) - 2*t(s). Determine h so that l(h) = 0.
-1, 2
Suppose -132 = 17*k - 83*k. Factor 1/2 + 1/4*c - 1/4*c**k.
-(c - 2)*(c + 1)/4
Let g(w) be the first derivative of w**8/2800 - w**6/300 + w**4/40 + 7*w**3/3 + 11. Let t(o) be the third derivative of g(o). Let t(d) = 0. Calculate d.
-1, 1
Let r(q) be the first derivative of q**3/18 + 7*q**2/6 + 13*q/6 + 136. Factor r(z).
(z + 1)*(z + 13)/6
Let v be 1*(-48)/(-6) - (-660)/(-84). Let z(m) be the second derivative of v*m**3 - 3/28*m**4 - 1/14*m**2 + 0 + 11*m. Factor z(h).
-(3*h - 1)**2/7
Suppose 4*u + 5*g - 2*g = 31, 32 = 3*u + 4*g. Let r = 29/84 - 2/21. Let 0*t**2 - r*t**5 + 0*t**u + 0 + 1/4*t**3 + 0*t = 0. Calculate t.
-1, 0, 1
Suppose -3/5*b**5 - 6*b**3 + 3*b**4 + 6*b**2 - 3*b + 3/5 = 0. What is b?
1
Suppose 0 = -4*j + 6*j. Determine z so that j*z - 3*z**2 - 8*z**3 - 3*z**4 - z**3 + 6 + 9*z = 0.
-2, -1, 1
Let j(f) be the first derivative of 0*f**3 - 1/36*f**4 - 4 + 4*f + 1/60*f**5 + 0*f**2. Let i(b) be the first derivative of j(b). Factor i(q).
q**2*(q - 1)/3
Let d be 1/5 + 703/185. Let a(q) be the third derivative of 1/60*q**5 + 0 + 1/24*q**d + 0*q + q**2 - 1/3*q**3. Factor a(t).
(t - 1)*(t + 2)
Let w be (4 + (-4 - 2))*-2. Factor -16 + 8*m**3 + w*m**2 + 14*m**3 - 16*m + 11*m**3 - 29*m**3.
4*(m - 2)*(m + 1)*(m + 2)
Let z(h) be the third derivative of 4*h**7/105 + 59*h**6/60 - 79*h**5/30 + 4*h**4/3 - h**2 - 64. Factor z(o).
2*o*(o - 1)