).
4*v*(v + 18)
Let v(a) be the third derivative of -2 + 2*a**3 - 17*a**2 - 7/40*a**6 - 1/14*a**7 + 0*a + 1/20*a**5 - 1/112*a**8 + a**4. Let v(f) = 0. What is f?
-2, -1, 1
Suppose -31*h = 13*h + 20*h - 192. Factor -10/7*s**4 + 2/7*s**5 + 18/7*s**h - 2*s**2 + 0 + 4/7*s.
2*s*(s - 2)*(s - 1)**3/7
Let t be ((-44)/20 + 4)*45. Let o = t - 77. Solve 6*v**2 + 7*v**2 + o*v - 9*v**2 = 0 for v.
-1, 0
Let o = -97 - -122. Let y be -1 + 260/o + -8. Suppose -3/5*p - y*p**2 + 0 - 1/5*p**4 - p**3 = 0. Calculate p.
-3, -1, 0
Let p(b) be the first derivative of -4*b**5/5 + 9*b**4 + 32*b**3/3 - 216*b**2 - 640*b - 8086. Find d, given that p(d) = 0.
-2, 5, 8
Let j be (-178)/(-14) + (-10)/(-35). Factor -21*n**4 + 16*n**3 + 38*n**4 - j*n**4 + 16*n**2.
4*n**2*(n + 2)**2
Let h(j) be the third derivative of j**10/75600 - j**9/9450 + j**8/4200 - 19*j**4/12 - j**3/6 - 46*j**2. Let m(o) be the second derivative of h(o). Factor m(g).
2*g**3*(g - 2)**2/5
Factor -12*t**3 + 165 - 729*t**2 + 2271 - 324*t + 619*t + 770*t - 654*t**2.
-3*(t + 1)*(t + 116)*(4*t - 7)
Let b(u) = -225*u**2 + 1235330*u - 2383935610. Let f(y) = -7*y**2 + 38604*y - 74497988. Let z(k) = 2*b(k) - 65*f(k). Let z(o) = 0. Calculate o.
3860
Suppose 2*a + 2*q + 4 = 4*q, 4*a - 40 = -8*q. Let h(l) be the first derivative of 1/25*l**5 + 0*l + 0*l**3 + 1/10*l**4 + 0*l**a - 14. Factor h(v).
v**3*(v + 2)/5
Factor 2346*k**5 + 2345*k**5 - 20164*k**2 - 572*k**4 - 20732*k**3 - 4695*k**5.
-4*k**2*(k + 1)*(k + 71)**2
Let i(o) = 14*o - 460. Let g be i(33). Let n(l) be the first derivative of 0*l**2 + 0*l - g - 1/18*l**3. Factor n(u).
-u**2/6
Let k(c) be the first derivative of -c**6/960 - c**5/240 - c**4/192 + 7*c**2 + 2*c + 11. Let s(t) be the second derivative of k(t). Solve s(x) = 0 for x.
-1, 0
Suppose -24*y = 2*n - 29*y - 36, -n + 5*y = -33. Determine s so that 0 + 2*s**4 - 2*s**2 + 26/9*s**n - 22/9*s**5 - 4/9*s = 0.
-1, -2/11, 0, 1
Let b(p) be the third derivative of p**8/45360 - 13*p**7/11340 - p**5/10 - 3*p**4/8 + 144*p**2. Let k(w) be the third derivative of b(w). Factor k(g).
4*g*(g - 13)/9
Let g be -1 + ((-18)/(-15282))/(5/14403). Let y = 2/283 + g. Let y*c**2 + 28/5*c - 24/5 = 0. Calculate c.
-3, 2/3
Let i = -244327/3 + 488657/6. Let -i*p**2 - 6*p**3 + 6*p + 0 + 1/2*p**4 = 0. What is p?
-1, 0, 1, 12
Let 64/3 + 172/3*h**2 - 176/3*h - 73/3*h**3 - 1/3*h**5 + 14/3*h**4 = 0. What is h?
1, 4
Let q(r) be the third derivative of 1/40*r**6 + 0 + 29/2*r**3 + 59/8*r**4 + 10*r + 31/20*r**5 + 4*r**2. What is v in q(v) = 0?
-29, -1
Factor -88 + 1/3*k**2 + 85/3*k.
(k - 3)*(k + 88)/3
Suppose -2*v = -3*f - 1, 2*f - 3*v + 5 = -4. Solve -360*q + 0*q**3 + q**f - 6*q**3 + 540 - 196*q**2 + 271*q**2 = 0 for q.
3, 6
Factor 15/7*r - 3/7*r**2 + 312/7.
-3*(r - 13)*(r + 8)/7
Let m = 230 - 556. Let z = m - -326. Factor -1/5*n + z - 1/5*n**2.
-n*(n + 1)/5
Let z(v) = -13*v**2 + 493*v + 2900. Let u(k) = 3*k**2 - 99*k - 579. Let b(l) = -14*u(l) - 3*z(l). Factor b(j).
-3*(j + 9)*(j + 22)
Suppose 0 = -73*u + 3*u. Let w(h) be the first derivative of 3/8*h**4 - 1/2*h**3 - 1/4*h**6 + u*h**2 + 0*h + 3/10*h**5 + 8. Factor w(r).
-3*r**2*(r - 1)**2*(r + 1)/2
Let d(p) be the second derivative of -p**4/42 - 401*p**3/21 - 400*p**2/7 + 11*p - 19. Factor d(x).
-2*(x + 1)*(x + 400)/7
Let u(b) = 2*b**2 - b - 1. Let x be 15 - ((-13 - 2)/(-3))/1. Let m(h) = 22*h**2 + 6*h - 28. Let f(a) = x*u(a) - m(a). Suppose f(i) = 0. What is i?
-9, 1
Factor -713*d**2 + 500*d**2 - 889*d - 162 + 14*d**3 - 910*d**2.
(d - 81)*(2*d + 1)*(7*d + 2)
Factor -1/2*n**2 - 4 + 1/2*n**3 - 5*n.
(n - 4)*(n + 1)*(n + 2)/2
Factor 48/17*f**2 + 1024/17 - 384/17*f - 2/17*f**3.
-2*(f - 8)**3/17
Let a = 205 - 203. Solve 16*k**3 - 58*k**3 + 96*k**a + 8192 + 25*k**3 - 1536*k + 15*k**3 = 0 for k.
16
Suppose 3*v - 4*q = 42 - 10, 0 = -2*v - 2*q + 40. Suppose 5*c + 0 - 5 = -5*n, 2*n - v = 5*c. Factor -17*d**n - d**4 + 10*d**3 + d**2 + 8*d**3 - d**5.
-d**2*(d - 1)*(d + 1)**2
Factor -152/7*q**2 + 0 + 12/7*q - 52/7*q**3.
-4*q*(q + 3)*(13*q - 1)/7
Let c = 255 + -253. Suppose -s - 11*h = -10*h - 7, -c*s + 5*h - 21 = 0. Factor -3/5*w + 0 + 1/5*w**s.
w*(w - 3)/5
Let h(r) be the third derivative of -3*r**6/40 - 23*r**5/30 - 25*r**4/8 - 19*r**3/3 + 669*r**2. Solve h(x) = 0.
-19/9, -2, -1
Suppose -t = 5*b - 57, 759 - 706 = -t + 5*b. Factor 225 + 1/4*n**t - 15*n.
(n - 30)**2/4
Let y(g) be the third derivative of g**7/420 + 11*g**6/40 + 3*g**5/2 - 281*g**4/24 + 105*g**3/4 + 599*g**2 + 4*g - 3. Factor y(m).
(m - 1)**2*(m + 5)*(m + 63)/2
Let x(m) be the third derivative of 0*m + 25/3*m**3 + 0 + 1/24*m**5 - 153*m**2 + 15/16*m**4. Let x(d) = 0. What is d?
-5, -4
Let c(t) be the first derivative of t**4/12 - 28*t**3/9 + 53*t**2/6 - 26*t/3 + 5949. Solve c(j) = 0.
1, 26
Let c(h) be the second derivative of h**6/210 + 27*h**5/70 + 5*h**4/4 + 26*h**3/21 + 1330*h. Factor c(j).
j*(j + 1)**2*(j + 52)/7
Suppose -48*t + 34 = -43*t + 3*s, 0 = t + 2*s - 11. Factor -31*y**2 + 170 + 9*y**2 + 5*y**2 + 75*y + t*y**2 + 7*y**2.
-5*(y - 17)*(y + 2)
Factor 0 + 1/2*s**3 + 5/2*s**2 + 3*s.
s*(s + 2)*(s + 3)/2
Let b be 288/6336 + 702/44. Factor b*v - 33/2 + 1/2*v**2.
(v - 1)*(v + 33)/2
Let f(m) be the second derivative of m**5/4 - 185*m**4/3 + 1465*m**3/6 - 365*m**2 - 4724*m. Factor f(y).
5*(y - 146)*(y - 1)**2
Let x(j) be the second derivative of 355/6*j**3 + 115/4*j**4 + 0 + 79*j - 1/6*j**6 + 60*j**2 + 21/4*j**5. Factor x(r).
-5*(r - 24)*(r + 1)**3
Let l be 135/54*36/45. Let v(x) be the second derivative of 1/4*x**4 - 5/3*x**3 - 7*x + 0 + 1/20*x**5 + 0*x**l. Factor v(u).
u*(u - 2)*(u + 5)
Let l(w) be the third derivative of 11/12*w**5 - 56*w**2 + 5/12*w**4 + 0*w**3 + 0 + 13/42*w**7 + 5/112*w**8 + 0*w + 19/24*w**6. Let l(r) = 0. What is r?
-2, -1, -1/3, 0
Factor -1/3*p**3 - 248/3 + 165*p - 82*p**2.
-(p - 1)**2*(p + 248)/3
Solve 8*y**3 + 8*y**4 + 52*y**2 - 17*y**2 + 288*y + 121*y**2 - 37*y**4 + 25*y**4 = 0.
-3, 0, 8
Let u(v) be the first derivative of 0*v - 56 - 5/3*v**3 + 5/2*v**2. Factor u(g).
-5*g*(g - 1)
Suppose -8 = g - 3*g. Let s(w) = 58*w + 13. Let l be s(g). Factor 3*d + l - 32*d - 41*d - 63*d**2 + 68*d**2.
5*(d - 7)**2
Let 66/17*f**4 + 0 + 8/17*f**5 - 96/17*f - 376/17*f**2 + 48/17*f**3 = 0. What is f?
-6, -4, -1/4, 0, 2
Suppose 3*p - 145 = 2*v - 45, -4*p - v = -115. Let l be 1/(4 - p/8). Factor 4*w**4 - 13*w**3 + 11*w**3 + l*w**3 - 6*w**5.
-2*w**3*(w - 1)*(3*w + 1)
Factor 0 + 7/3*v**2 + 0*v**3 + 2*v - 1/3*v**4.
-v*(v - 3)*(v + 1)*(v + 2)/3
Let s(u) be the second derivative of 1 - 2/5*u**2 - 136/15*u**3 - 167042/75*u**6 - 19652/25*u**5 + 57*u - 578/5*u**4. Determine a, given that s(a) = 0.
-1/17
Let b(v) be the third derivative of -v**5/120 - 241*v**4/48 + 121*v**3/6 + 783*v**2 - 3. Determine t so that b(t) = 0.
-242, 1
Factor 4*v**4 - 1152 - 91*v**3 + 89*v + 35*v**3 + 7*v + 208*v**2.
4*(v - 6)**2*(v - 4)*(v + 2)
Let p(w) be the third derivative of -2/5*w**5 + 11/30*w**6 + 0*w - 2*w**2 + 0*w**4 - 4/35*w**7 + 0 + 0*w**3 + 1/84*w**8. Factor p(f).
4*f**2*(f - 3)*(f - 2)*(f - 1)
Let q = -282868 - -282871. Solve 152/7 - 2/7*r**q + 144/7*r + 30/7*r**2 = 0.
-2, 19
Let c be 4/6 - 1024/(-84) - 100/10. Factor -c*p**4 + 72/7*p + 120/7*p**2 + 2/7*p**5 + 0 + 26/7*p**3.
2*p*(p - 6)**2*(p + 1)**2/7
Let u = -1752 - -1748. Let b be 18*11*u/(-176). Find r, given that -21/4*r**3 - 6 + b*r**2 - 9/4*r**4 + 9*r = 0.
-2, 2/3, 1
Let n(q) be the first derivative of 0*q + 2/45*q**5 + 2/27*q**3 + 0*q**2 + 32 - 1/9*q**4. Suppose n(h) = 0. What is h?
0, 1
Let t(s) be the first derivative of -s**3/18 + 169*s**2/3 + 226*s - 3997. Let t(h) = 0. Calculate h.
-2, 678
Let c(u) be the second derivative of 0*u**4 - 15*u**2 - 34*u - 1/105*u**5 + 0 + 2/21*u**3. Let m(w) be the first derivative of c(w). Factor m(k).
-4*(k - 1)*(k + 1)/7
Let j(i) be the first derivative of -32/5*i**4 + 224/15*i**3 - 189 + 31/5*i**2 + 4/5*i. Solve j(y) = 0 for y.
-1/8, 2
Suppose -4*i + m = 4*m - 57, 3*m - 45 = -3*i. Factor -16*v**3 + v**3 + 5*v**4 - 65*v**2 - 13*v + 20*v**2 - i*v.
5*v*(v - 5)*(v + 1)**2
Let z(q) be the second derivative of -23*q**4/36 + 71*q**3/9 - 4*q**2 - 2469*q. Let z(w) = 0. What is w?
4/23, 6
Let s(a) = a**3 + 3*a**2 + a - 17. Let i(v) = 6*v**3 - 4*v**2 - 102*v + 52. Let j(x) = -i(x) + 4*s(x). Let j(m) = 0. Calculate m.
-5, 1, 12
Suppose 22*h - 14*h = 24. Factor -2*g