g = 0.
1, 68
Let g(o) be the third derivative of o**6/40 + 11*o**5/20 + 9*o**4/4 + 12002*o**2. Find j, given that g(j) = 0.
-9, -2, 0
Let v be (90/4)/(-9)*(-16)/20. Let j(u) be the second derivative of 4/7*u**v + 5/42*u**4 - 6*u + 0 - 8/21*u**3 - 1/70*u**5. Let j(r) = 0. Calculate r.
1, 2
Let h(s) be the second derivative of -7*s**6/30 + 5*s**5/4 + 4*s**4/3 - 8*s**3/3 + 6241*s. What is j in h(j) = 0?
-1, 0, 4/7, 4
Let -2/3*v**4 - 1/3*v**5 + 128/3 + 47/3*v**3 + 304/3*v + 224/3*v**2 = 0. Calculate v.
-4, -1, 8
Factor 271*k + 1790*k - 4730625 + 314*k + 2078*k - 103*k - k**2.
-(k - 2175)**2
Factor -22184100 + 12324*t + 262*t**2 - 340*t**2 + 77*t**2 - 2904*t.
-(t - 4710)**2
Let s = 162722 + -162720. Factor 1/3*l**2 + 5/3*l + s.
(l + 2)*(l + 3)/3
Let n = -52160 - -52163. Factor -2/9*j**n + 2/3*j**2 + 2/9 - 2/3*j.
-2*(j - 1)**3/9
Solve -33/2*v**3 - 6 - 3*v**5 + 33/2*v**4 - 21/2*v**2 + 39/2*v = 0 for v.
-1, 1/2, 1, 4
Let a(k) be the third derivative of k**7/42 + 35*k**6/8 + 103*k**5/6 - 128*k**2 - 1. Let a(d) = 0. What is d?
-103, -2, 0
Let v(p) = -2*p**4 + 37*p**3 + 9 + 4*p**4 + 13*p**2 - 43*p**3. Let c(j) = j**4 - 3*j**3 + 6*j**2 + 4. Let h(a) = -9*c(a) + 4*v(a). Factor h(s).
-s**2*(s - 2)*(s - 1)
Let u be (33/18)/(((-6)/1104*16)/((-8)/46)). Factor -16/3*q**2 + 0 + 3*q**4 - u*q**3 + 4/3*q.
q*(q - 2)*(q + 1)*(9*q - 2)/3
Let s(t) = 17*t**3 - 33*t**2 - 7*t - 35. Let a(o) = -25*o**3 + 50*o**2 + 10*o + 50. Let c(x) = -7*a(x) - 10*s(x). Factor c(v).
5*v**2*(v - 4)
Let j(f) be the second derivative of -1/14*f**3 + 1/42*f**6 - f - 1/6*f**4 + 1/70*f**5 - 43 + 9/14*f**2 + 1/294*f**7. What is o in j(o) = 0?
-3, -1, 1
Suppose -3*u + 9 = -3*i, u = -i + 3*i + 4. Solve -53 + 25 - 2*y**u + 33 + 7*y**2 - 10*y = 0.
1
Suppose 24*d = 25*d - 2*h - 7034, -h + 21095 = 3*d. Let g be (-586)/d*(-2)/6*8. Factor -4/9*c + 0 + 2/9*c**5 + g*c**4 - 10/9*c**2 - 2/3*c**3.
2*c*(c - 2)*(c + 1)**3/9
Let t be 1 - (-46 + 3 + 0). Let z be 1*6/((-60)/(-25))*10. Factor t*x**2 - 23*x**2 - 20*x - 24 - z*x**2.
-4*(x + 2)*(x + 3)
Let v be (-6)/(-45) + (-15 - (4 - 4648/240)). Factor -v*y**3 + 0*y**2 + 0 + 1/2*y.
-y*(y - 1)*(y + 1)/2
Let m(a) be the third derivative of -a**6/24 + 4*a**5/3 - 85*a**4/6 + 200*a**3/3 - 218*a**2 - a. Factor m(l).
-5*(l - 10)*(l - 4)*(l - 2)
Let c(a) = -29458*a - 265117. Let z be c(-9). Suppose 0*v - 27/5*v**4 + 0 + 0*v**2 - 3/5*v**z - 54/5*v**3 = 0. Calculate v.
-6, -3, 0
Let n be ((-2)/126*-2)/(6064/42448). Factor 1/9*m + n*m**2 - 1/9.
(m + 1)*(2*m - 1)/9
Let o(g) be the second derivative of 17*g**5/4 - 305*g**4/4 - 620*g**3/3 - 120*g**2 + 57*g - 68. Let o(d) = 0. Calculate d.
-1, -4/17, 12
What is m in 1058 + 2070*m + 1933/2*m**2 + 1/2*m**4 - 45*m**3 = 0?
-1, 46
Solve -3678*a**3 - 2681928*a**2 + 33743*a**4 - 66599424048 - 954*a**3 - 690149472*a - 33746*a**4 = 0.
-386
Suppose -2*g + 5*k = -24, -k - 22 = -g + 4*k. Let 252*y**4 - 124*y**4 - 124*y**4 - 11 - 32*y + 8*y**3 - 5 - 12*y**g = 0. Calculate y.
-2, -1, 2
Let m be 2 + 9/7 + 28/(-98). Let n be -276*(m/9*-17 + 1). Determine y, given that 1276*y + 12*y**3 - 4*y**2 - y**4 + 5*y**4 - n*y = 0.
-3, -1, 0, 1
Let y be (600/45 - 12)/((-2)/(-3)). Let f(m) be the first derivative of 32/3*m + 2/9*m**3 + 12 - 8/3*m**y. Determine x, given that f(x) = 0.
4
Let k(s) be the third derivative of -1/225*s**5 + 2/45*s**3 + 1/900*s**6 + 7 + 0*s - 7*s**2 - 1/180*s**4. Factor k(z).
2*(z - 2)*(z - 1)*(z + 1)/15
Let p(v) = -41*v**3 + 29*v**2 - 45*v + 13. Let d(b) = 15*b**3 - 10*b**2 + 15*b - 4. Let i(x) = -22*d(x) - 8*p(x). Suppose i(r) = 0. What is r?
-8, 1
Let b = 49 + -33. Find y, given that 4*y**4 - 66*y + 2*y**3 - 772 + 18*y**3 - b*y**2 + 736 - 2*y**5 = 0.
-2, -1, 3
Let w = -1297 - -1289. Let j be (-4)/(-2)*35*w/(-400). Factor 8/5 + j*u**2 + 6*u.
(u + 4)*(7*u + 2)/5
Let h(s) be the second derivative of -56*s - s**3 + 31/10*s**2 + 0 - 1/60*s**4. Factor h(a).
-(a - 1)*(a + 31)/5
Let n(x) be the second derivative of x**6/90 - x**5/30 - 11*x**4/4 - 6*x**3 + 198*x**2 - x - 467. Determine p, given that n(p) = 0.
-6, 3, 11
Let g(s) = 22*s**2 + 6972*s - 7174. Let i(r) = 9*r**2 + 2785*r - 2869. Let o(j) = 5*g(j) - 12*i(j). Factor o(x).
2*(x - 1)*(x + 721)
Let r be (0*((-9)/(-63))/1)/(-1). Let 0*m**2 + r*m**4 - 2/3*m + 0 + 4/3*m**3 - 2/3*m**5 = 0. Calculate m.
-1, 0, 1
Let f be (-1353)/(-204) - (-55)/(-374)*(-4)/5. Factor -f*j**2 + 15/2 + 129/4*j.
-3*(j - 5)*(9*j + 2)/4
Let q = 2862 + -2844. Let j(c) be the second derivative of 1/24*c**4 + 0*c**2 + 1/3*c**3 - 1/80*c**5 - q*c + 0. Factor j(t).
-t*(t - 4)*(t + 2)/4
Let p(u) be the second derivative of -u**4/16 + u**3 + 315*u**2/8 - 222*u. Factor p(x).
-3*(x - 15)*(x + 7)/4
Let u be (-7)/1*((-3)/(-6))/(42/(-24)). Let m(l) be the third derivative of 0 - 1/18*l**4 - 22*l**u - 1/90*l**5 + 0*l + 8/9*l**3. Factor m(n).
-2*(n - 2)*(n + 4)/3
Determine a, given that 274/5*a**3 + 216*a + 1084/5*a**2 + 1/5*a**4 + 0 = 0.
-270, -2, 0
Let b(j) be the first derivative of 2*j**6/15 - 8*j**5/5 + 16*j**4/3 - 47*j - 70. Let t(a) be the first derivative of b(a). What is u in t(u) = 0?
0, 4
Let q(r) be the third derivative of 71/42*r**4 + 0*r + 147*r**2 - 1/42*r**5 - 8/3*r**3 + 0. Factor q(u).
-2*(u - 28)*(5*u - 2)/7
Let r = 407968 - 407966. Factor 0 - 2/11*l**r + 16/11*l.
-2*l*(l - 8)/11
Let v(f) be the first derivative of 1/5*f**5 - 18*f + 10*f**2 - 24 - 6*f**3 + f**4. Let o(k) be the first derivative of v(k). Let o(z) = 0. Calculate z.
-5, 1
Let y(w) be the second derivative of -2*w**6/15 - 19*w**5/5 + 20*w**4/3 - 2157*w. What is j in y(j) = 0?
-20, 0, 1
Suppose -5*k = b + 75 - 23, 0 = 4*k + 44. Let d(f) = -f**3 - 7*f**2 - 7*f - 4. Let c be d(-6). Factor -4/3*z + 8/3*z**c - 4/3*z**b + 0.
-4*z*(z - 1)**2/3
Suppose 7 = 4*v - 40*l + 45*l, -4*v - 2*l = -10. Factor 3*w**2 + 3/2*w**v - 6*w - 12.
3*(w - 2)*(w + 2)**2/2
Let y = 7598 - 7592. Let q(m) be the first derivative of 2/27*m**3 + 2/9*m**4 - 2/9*m - y - 4/9*m**2. Factor q(g).
2*(g - 1)*(g + 1)*(4*g + 1)/9
Let d(m) be the first derivative of m**4/26 + 40*m**3/13 - 193*m**2/13 - 504*m/13 + 1834. Find h, given that d(h) = 0.
-63, -1, 4
Suppose 29*z - z = -168. Let p(d) = -d**2 - 9*d + 26. Let w(f) = 3*f**2 + 26*f - 78. Let q(x) = z*w(x) - 21*p(x). Factor q(t).
3*(t - 2)*(t + 13)
Let y(p) be the second derivative of 0 + 2/5*p**3 + 1/20*p**4 - 67*p - 18/5*p**2. Suppose y(k) = 0. What is k?
-6, 2
Let o(i) be the first derivative of -i**7/4200 - i**6/300 + 2*i**5/75 + 106*i**3/3 + 111. Let p(t) be the third derivative of o(t). Factor p(x).
-x*(x - 2)*(x + 8)/5
Suppose 0 = 2*h - 380*j + 383*j - 270, h - 10*j - 135 = 0. Factor -19683/2 - 15/2*w**4 + 1/6*w**5 + 10935/2*w + h*w**3 - 1215*w**2.
(w - 9)**5/6
Factor 0 - 18/7*a - 5*a**2.
-a*(35*a + 18)/7
Let f(s) be the third derivative of -2*s**7/105 - 16*s**6/5 - 2206*s**5/15 + 784*s**4 - 4802*s**3/3 + 14*s**2 + 35. Suppose f(b) = 0. What is b?
-49, 1
Let r(m) be the second derivative of -5/12*m**4 - 160*m**2 + 8*m + 40/3*m**3 - 3. Factor r(d).
-5*(d - 8)**2
Let b = 416/5 - 17467/210. Let p(n) be the second derivative of 0*n**2 - 2/21*n**3 + b*n**4 - 7*n + 0. Solve p(g) = 0 for g.
0, 2
Let -64/3*k**3 - 4/3*k**4 - 1024/3 + 704/3*k + 16*k**2 = 0. What is k?
-16, -4, 2
Suppose 66*l - 20 = 46*l. Let h be l + 9/4 + -3. Factor -3/4*r**3 + h*r**4 + 3/4*r - 1/4*r**2 + 0.
r*(r - 3)*(r - 1)*(r + 1)/4
Let l be ((-7248)/99660)/((-4)/22). Let -27/5*a - l*a**2 + 14/5 = 0. What is a?
-14, 1/2
Factor 42*s - 14/3*s**3 + 0 + 6*s**2 - 2/3*s**4.
-2*s*(s - 3)*(s + 3)*(s + 7)/3
Let -7*g**4 + 8*g**3 + 5/3*g**5 + 0*g - 4/3*g**2 + 0 = 0. Calculate g.
0, 1/5, 2
Solve -402*v - 5*v**2 - 416*v - 406*v + 1084*v + 2665 = 0.
-41, 13
Let n(d) be the second derivative of 4/27*d**4 - 5 + 1/10*d**5 + 0*d**3 - 5*d + 1/135*d**6 + 0*d**2. Factor n(a).
2*a**2*(a + 1)*(a + 8)/9
Let m(r) be the second derivative of r**6/480 + 29*r**5/80 + 841*r**4/32 - 10*r**3 + 78*r. Let l(a) be the second derivative of m(a). Let l(g) = 0. Calculate g.
-29
Let k(m) = m**2 + m - 3. Let w(b) = 8*b**2 + 29*b + 99. Let f(h) = 21*k(h) - 3*w(h). Let f(n) = 0. Calculate n.
-12, -10
Let z(j) be the second derivative of -3*j**5/20 + 205*j**4/2 + 823*j**3/2 + 618*j**2 + 30*j + 30. Factor z(u).
-3*(u - 412)*(u + 1)**2
Let j(y) = 68*y - 13. Let l(f) = 2*f**2 - 128*f + 27. Let s(n) = -9*j(n) 