(u) = 0. What is u?
-3, -1, 0, 1/4
Let v(p) be the second derivative of 4/5*p**2 + 23/45*p**3 - 1/225*p**6 + 53 + 1/10*p**4 + 2*p - 1/50*p**5. Let v(a) = 0. What is a?
-4, -1, 3
Suppose g = -g - 132. Let o = 72 + g. Find m, given that -5*m**3 - 340*m + 340*m - 9*m**4 + 2*m**3 + o*m**2 = 0.
-1, 0, 2/3
Suppose 0 + 132*h + 38/3*h**3 - 1/3*h**4 + 85*h**2 = 0. What is h?
-3, 0, 44
Suppose 3 = -2*v + 5*v, s + 128 = 3*v. Let p = -125 - s. Factor 4/9*l**3 + 8/9*l**5 + p*l + 0 + 2/9*l**2 - 14/9*l**4.
2*l**2*(l - 1)**2*(4*l + 1)/9
Factor -9*z**2 - 512 + 12*z**2 + z**2 + 120*z + 0*z**2 - 2*z**2.
2*(z - 4)*(z + 64)
Let s(n) be the first derivative of -2*n**3/21 + 68*n**2/7 + 138*n/7 - 2153. Factor s(v).
-2*(v - 69)*(v + 1)/7
Suppose -4*p + 2*v = 10, -5*v = -3*p + 8 - 5. Let n(k) = -4*k - 16. Let a be n(p). Factor a*y + 0 - 1/4*y**4 - 3/4*y**2 - y**3.
-y**2*(y + 1)*(y + 3)/4
Let u(g) be the third derivative of -7*g**6/200 + 18*g**5/25 - 33*g**4/10 + 16*g**3/5 + 367*g**2. Let u(q) = 0. What is q?
2/7, 2, 8
Suppose 4*n = 3*n + 2. Find a, given that -12*a**n - 3*a**3 - 5*a + 3*a**2 - 4*a + 21*a**2 = 0.
0, 1, 3
Factor 80/3*i**2 + 79/3*i - 1/3.
(i + 1)*(80*i - 1)/3
Let i = -3412 + 51182/15. Let v(f) be the first derivative of -i*f**3 + 4/5*f + 8 - 1/5*f**2. Factor v(h).
-2*(h - 1)*(h + 2)/5
Suppose 1 = 5*h + 3*i - 3, -i - 10 = -4*h. Let w(z) be the first derivative of 4*z**h - 4*z + z**3 - 9/4*z**4 - 4. Factor w(t).
-(t + 1)*(3*t - 2)**2
Let m be 35 + (-7 - -4 - -3). Let f be (-12)/((-336)/m)*3. Determine i, given that -5/2*i + 0 + f*i**2 - 5/4*i**3 = 0.
0, 1, 2
Let k be -421 - -402 - (3 - 57). Factor -64/3*u**3 - k*u + 176/3*u**2 + 6.
-(u - 2)*(8*u - 3)**2/3
Let i(k) = 30*k**2 + 190*k - 1152. Let f(o) = -8*o**2 - 46*o + 288. Let l(v) = 22*f(v) + 6*i(v). Find h such that l(h) = 0.
-36, 4
Let j(h) be the first derivative of -3*h**6/2 - 87*h**5/5 - 87*h**4/4 + 85*h**3 - 36*h**2 - 783. Determine q so that j(q) = 0.
-8, -3, 0, 1/3, 1
Let r(q) = q**2 + 8*q - 5. Let t(f) = 5*f**2 + 40*f - 25. Let i(w) = -11*r(w) + 2*t(w). Let d be i(-8). Factor -d*a**2 - 108 + 6*a**2 - 36*a - 4*a**2.
-3*(a + 6)**2
Let m(t) be the third derivative of -1/40*t**6 + 9*t**2 + 0*t - 35/8*t**4 + 49/2*t**3 + 3 - 13/20*t**5. Solve m(f) = 0 for f.
-7, 1
Let t(b) be the second derivative of 0*b**4 + 1/35*b**6 - 3*b + 3 + 0*b**3 + 0*b**2 - 1/147*b**7 - 1/35*b**5. Factor t(n).
-2*n**3*(n - 2)*(n - 1)/7
Let f(u) be the second derivative of -u**6/30 - 3*u**5/4 - 17*u**4/3 - 14*u**3 + 10*u + 72. Determine x, given that f(x) = 0.
-7, -6, -2, 0
Let r(b) = -104*b**3 + 1244*b**2 - 5564*b + 6808. Let a(p) = -7*p**3 + 83*p**2 - 371*p + 454. Let x(o) = -44*a(o) + 3*r(o). Factor x(u).
-4*(u - 14)*(u - 4)*(u - 2)
Let v(a) be the third derivative of -13/72*a**4 + 0*a + 1/20*a**5 + 0 + 2/9*a**3 + 93*a**2. Determine z so that v(z) = 0.
4/9, 1
Factor 8*c**2 + c**3 - 60*c - 30*c**2 + 17*c**2 + 16*c**2.
c*(c - 4)*(c + 15)
Factor -18553*g - 3*g**2 + 37102*g - 18555*g + 144.
-3*(g - 6)*(g + 8)
Let c be (13/20 - (-3)/(-15)*2)/1. Let n(k) be the first derivative of 9/32*k**4 + 0*k - 1/16*k**6 + 0*k**5 + 17 + 0*k**2 - c*k**3. Factor n(b).
-3*b**2*(b - 1)**2*(b + 2)/8
Factor 175947 - 74279 - 1575*k + 2*k**2 - 41*k + 81835 + 142929.
2*(k - 404)**2
Let j(h) be the first derivative of h**5/5 + 15*h**4/4 - 75*h**3 + 625*h**2/2 + 1549. Factor j(d).
d*(d - 5)**2*(d + 25)
Let t be (4 + (-1630)/40)/((-15)/40). Let r(w) be the second derivative of 0 - 70/3*w**3 + 27*w - 1/5*w**5 + t*w**2 - 13/3*w**4. Factor r(m).
-4*(m - 1)*(m + 7)**2
Let c be (-2 - 1)*((-12)/(-28) + (-962)/546). Let t(r) be the second derivative of 0 + 36*r + 1/16*r**c - 3/2*r**2 + 0*r**3. Factor t(h).
3*(h - 2)*(h + 2)/4
Let c(n) = 2*n**2 - 17*n - 9. Let q(a) = -3*a**2 + 56*a + 28. Let h be q(19). Let v be c(h). Let v + 4/7*s**3 + 16/7*s**2 + 16/7*s = 0. Calculate s.
-2, 0
Let f(w) be the first derivative of -3*w**5/5 + 27*w**4/4 - 24*w**3 + 30*w**2 + 3760. Suppose f(j) = 0. What is j?
0, 2, 5
Let g(i) be the second derivative of -2*i**7/21 + 54*i**6/5 - 2183*i**5/5 + 6453*i**4 + 5832*i**3 - 157464*i**2 - 2*i + 1498. Factor g(d).
-4*(d - 27)**3*(d - 2)*(d + 2)
Let f = 9637835/17 - 566931. Factor f + 18/17*m**2 + 26/17*m.
2*(m + 1)*(9*m + 4)/17
Factor 34/5*q**4 + 0 - 96/5*q**3 + 94/5*q**2 - 1/5*q**5 - 31/5*q.
-q*(q - 31)*(q - 1)**3/5
Factor 483/8 - 1/8*l**2 - 79/4*l.
-(l - 3)*(l + 161)/8
Let l(x) be the first derivative of -x**7/280 + 7*x**6/360 + 3*x**5/20 + x**4/3 - 49*x**3 + 40. Let k(u) be the third derivative of l(u). Factor k(z).
-(z - 4)*(z + 1)*(3*z + 2)
Suppose -1/5*m**2 + 22*m + 944/5 = 0. What is m?
-8, 118
What is d in 753003/7 + 3006/7*d + 3/7*d**2 = 0?
-501
Let z(v) = v**3 - 13*v**2 - 2*v + 26. Let w be z(13). Suppose -3*x + 1 + 5 = w. Suppose 0*h**2 - h**2 + 50*h - 49*h + x*h**2 = 0. Calculate h.
-1, 0
Let x = 42 - 10. Suppose 4 - 4 = x*i. Determine k so that i*k - 3/4*k**2 + 0 = 0.
0
Find h, given that 2*h - 10*h**2 + 20*h**5 + 9*h**3 - 5*h**4 - 2*h + 46*h**3 - 60*h**4 = 0.
0, 1/4, 1, 2
Factor 46/9*a**4 - 88/3*a**3 + 0 - 2/9*a**5 + 0*a**2 + 0*a.
-2*a**3*(a - 12)*(a - 11)/9
Let v(g) be the second derivative of g**4/42 - 16*g**3/21 - 17*g**2/7 - 1781*g. Factor v(i).
2*(i - 17)*(i + 1)/7
Let t be (-95)/(-114)*184/30. Let q(s) be the first derivative of 2*s**2 + 0*s - t*s**3 + 7/27*s**6 + 22/15*s**5 + 11/18*s**4 - 1. Determine k so that q(k) = 0.
-3, 0, 2/7, 1
Let x(o) be the third derivative of o**5/90 + 197*o**4/18 + 784*o**3/9 - 1826*o**2. Factor x(f).
2*(f + 2)*(f + 392)/3
Factor -214/5*a**2 + 1/5*a**5 + 183/5*a - 18/5*a**4 + 104/5*a**3 - 56/5.
(a - 8)*(a - 7)*(a - 1)**3/5
Let x(u) be the second derivative of u**7/10080 + 17*u**6/2880 - 19*u**5/240 - 49*u**4/2 - 40*u + 1. Let n(a) be the third derivative of x(a). Factor n(v).
(v - 2)*(v + 19)/4
Let f = -18803651 + 34880776873/1855. Let u = f - 4/265. Solve 1/7*a**5 + 0 - u*a - 12/7*a**3 - 1/7*a**4 + 4*a**2 = 0 for a.
-4, 0, 1, 2
Let t be (-9 - -8)*(-2 + -23)/1. Let l be (t/75)/(26/24 + -1). Factor -2*r**2 - r**5 + 0*r + r - 36*r**l + 38*r**4.
-r*(r - 1)**3*(r + 1)
Let f(c) be the second derivative of -c**6/180 + 7*c**5/6 + 71*c**4/12 + 34*c**3 + 3*c + 84. Let y(u) be the second derivative of f(u). Factor y(r).
-2*(r - 71)*(r + 1)
Factor 41/6*a**3 - 133/6*a**2 - 49/6*a - 1/2*a**4 + 0.
-a*(a - 7)**2*(3*a + 1)/6
Let m(f) = f**3 + f**2 + 6*f + 4. Let c(k) = 108*k**3 + 882*k**2 + 1780*k + 56. Let z(w) = -2*c(w) - 4*m(w). Determine v, given that z(v) = 0.
-4, -2/55
Solve -53/3*s + 12 + 1/6*s**3 + 11/2*s**2 = 0.
-36, 1, 2
Let p(r) be the second derivative of -r**4/144 - 865*r**3/72 + 433*r**2/12 + 225*r + 17. Factor p(j).
-(j - 1)*(j + 866)/12
Let o(a) be the second derivative of a**5/10 - 69*a**4 + 14283*a**3 + 884*a. Let o(l) = 0. Calculate l.
0, 207
Let a = -18759/6944 - -3105/992. Factor 3/7*i**4 - a*i**2 + 3*i + 0 - 3*i**3.
3*i*(i - 7)*(i - 1)*(i + 1)/7
Factor -409/4*i - 100 + 1/4*i**3 - 2*i**2.
(i - 25)*(i + 1)*(i + 16)/4
Let h = -90123/35 + 12909/5. Suppose 26/7*r**4 - 8/7*r**2 + 0*r + 0 - h*r**3 = 0. What is r?
-2/13, 0, 2
Let a(d) be the first derivative of 3*d**4/32 - 5*d**3/8 - 33*d**2/8 - 6*d - 901. Solve a(k) = 0 for k.
-2, -1, 8
Let t(f) be the second derivative of f**5/5 + f**4/3 - 2*f**3/3 - 2*f**2 + 74*f + 7. Factor t(y).
4*(y - 1)*(y + 1)**2
Let u(l) = 30*l + 36*l - 1 + l**2 - 76*l + 10. Let n(s) = -10*s + 10. Suppose -1 = a - 6. Let j(x) = a*u(x) - 4*n(x). Solve j(w) = 0.
1
Factor -272/7*z**2 + 8*z**3 + 288/7*z + 4/7*z**4 + 0.
4*z*(z - 2)**2*(z + 18)/7
Factor 1458*z + 22*z**3 - 9*z**2 + 630*z**2 - 33*z**3 - 17*z**3 + z**4 - 24*z**3.
z*(z - 27)**2*(z + 2)
Factor -28/5*j**3 + 64/5*j + 20*j**2 - 64/5.
-4*(j - 4)*(j + 1)*(7*j - 4)/5
Let q = 43 + -33. Suppose -16 = 4*l, 0 = u - 2*l - q. Find p such that 4*p**3 - p + 2*p**3 - u*p**2 - 7*p**3 = 0.
-1, 0
Let a = 210175 - 207285. Factor -a - 170*x - 5/2*x**2.
-5*(x + 34)**2/2
Determine v, given that 3*v**5 + 39*v**3 + 0*v**5 - 19684*v**4 + 19711*v**4 - 27*v**2 - 42*v = 0.
-7, -2, -1, 0, 1
Let q(w) be the third derivative of w**6/780 - 23*w**5/390 + 43*w**4/156 - 7*w**3/13 + 2*w**2 - 167. Let q(u) = 0. What is u?
1, 21
Let z(y) = -31*y**2 - 1688*y + 938. Let k be z(-55). Find o such that -14/3*o - 2/9*o**2 + 10 + 2/9*o**k = 0.
-5, 3
Let j