et t(v) be the second derivative of n(v). Solve t(b) = 0.
-7, 0, 2/3
Let g be (24/5)/(1746/1940). Let b(k) be the second derivative of -17/5*k**5 - 8/3*k**3 + 0*k**2 - g*k**4 - 2/3*k**6 - 12*k + 0. Factor b(u).
-4*u*(u + 1)*(u + 2)*(5*u + 2)
Let n be 152/15 + (-8)/60*1. Suppose -n*u = -16*u + 156. Factor u*f + 75 + 5*f**2 - 55 + 11*f - 12*f.
5*(f + 1)*(f + 4)
Let g(h) be the third derivative of -h**5/420 - 67*h**4/56 - 100*h**3/21 - 2*h**2 + 2*h + 262. Factor g(w).
-(w + 1)*(w + 200)/7
Let u(w) = 55*w - 7. Let c be u(4). Suppose 5*t = 7 + c. Factor -4*q**4 + 0*q**4 - t*q**2 - 46*q + 14*q - 24*q**3 - 4*q**2.
-4*q*(q + 2)**3
Let i be (-1820)/(-39)*9/6. Let q be (301/i - 4)/((-12)/(-10)). Factor -1/4*p + 1/2*p**2 + q*p**3 - 1/2.
(p - 1)*(p + 1)*(p + 2)/4
Let y = 1055 + -706. Let f = y + -347. Factor -9/5*k - 3/5*k**f - 6/5.
-3*(k + 1)*(k + 2)/5
Let u(k) = -k + 1. Suppose -7 - 1 = -4*v. Suppose -4*l + 2 + v = 0. Let x(q) = -2*q**2 + 22*q - 52. Let t(z) = l*x(z) + 2*u(z). Factor t(j).
-2*(j - 5)**2
Let 2/11*j**2 - 284/11*j + 282/11 = 0. Calculate j.
1, 141
Let k(h) be the second derivative of -h**4/102 - 4*h**3/17 + 13*h**2/17 - 2*h + 16. Determine l, given that k(l) = 0.
-13, 1
Let s(h) = h**3 + h**2 + h. Let a(c) = 10*c**3 + 10*c**2 - 5. Let w(j) = -2*j**2 - 8*j + 23. Let r be w(-6). Let f(x) = r*a(x) + 5*s(x). Factor f(k).
-5*(k - 1)*(k + 1)**2
Let j(v) = 5*v**3 + 49*v**2 - 280*v - 312. Let i(u) = -15*u**3 - 143*u**2 + 840*u + 934. Let w(s) = -6*i(s) - 17*j(s). Factor w(o).
5*(o - 6)*(o + 1)*(o + 10)
Factor -83/5*h**2 - 1496/5*h + 1936 - 1/5*h**3.
-(h - 5)*(h + 44)**2/5
Let q(g) = 9 + 13 + 15 - g**2 - 9*g - 53. Let k be q(-3). Determine w, given that -3/4 + w**k - 11/4*w = 0.
-1/4, 3
Let o(d) be the third derivative of -d**5/15 - 320*d**4/3 - 426*d**3 - 10092*d**2. Factor o(t).
-4*(t + 1)*(t + 639)
Let r = 4351 - 4351. Let x(h) be the third derivative of 0 + r*h**4 + 9*h**2 + 0*h**7 - 1/840*h**8 + 1/300*h**6 + 0*h + 0*h**5 + 0*h**3. Factor x(c).
-2*c**3*(c - 1)*(c + 1)/5
Factor -106742/13 - 742*g - 2/13*g**3 - 250/13*g**2.
-2*(g + 19)*(g + 53)**2/13
Let m(a) = a**2 - 116970*a + 818746. Let c be m(7). Solve 3/4*q**4 - 3/4*q**c - 3/4*q**2 + 0*q + 3/4*q**3 + 0 = 0.
-1, 0, 1
Find s such that 1/6*s**3 + 1/6*s**2 + 0*s + 0 - 1/3*s**4 = 0.
-1/2, 0, 1
Let v be (-86)/(-84) + (-356)/(-24) + -15. Factor -4/7*a**3 + 19/7*a + 3*a**2 - v.
-(a - 6)*(a + 1)*(4*a - 1)/7
Let t(f) be the second derivative of -f - 1/16*f**4 + 29 + 1/160*f**5 + 5/48*f**3 + 0*f**2. Determine x, given that t(x) = 0.
0, 1, 5
What is u in 9/4*u - 1/4*u**2 + 0 = 0?
0, 9
Let i(g) be the first derivative of -3*g**6/2 + 11*g**5/5 + 727*g**4/4 - 297*g**3 + 81*g**2 - 1047. Determine t, given that i(t) = 0.
-9, 0, 2/9, 1, 9
Let a(t) be the third derivative of -t**5/20 - 481*t**4 - 1850888*t**3 + 2407*t**2. Factor a(l).
-3*(l + 1924)**2
Let y(c) = -1448*c + 2898. Let f be y(2). Factor 1/3*a**4 - 2/3*a + 2/3*a**3 - 1/3*a**f + 0.
a*(a - 1)*(a + 1)*(a + 2)/3
Let m = 104 + -99. Suppose 0 = -5*r + m, -r = w + 2*r - 6. Determine g, given that -2*g**w + 7*g**2 + 2*g**4 - 7*g**2 - 6*g**3 + 6*g**2 = 0.
0, 1, 3
Let y be (-56)/70*75/(-30). Let w(m) be the second derivative of -40/3*m**3 - 22*m + 4/3*m**4 + 50*m**y + 0. Suppose w(a) = 0. What is a?
5/2
Let w(p) be the first derivative of -2*p**6/9 + 4*p**5/3 + 22*p**4 + 784*p**3/9 + 464*p**2/3 + 128*p - 1022. Find m such that w(m) = 0.
-2, -1, 12
Let y(i) be the second derivative of 49*i**6/10 + 231*i**5/4 + 597*i**4/4 + 315*i**3/2 + 81*i**2 + 1974*i. Suppose y(c) = 0. Calculate c.
-6, -1, -3/7
Let g be (174/63 - 3)/(80/(-28)). Let -g*n**2 + 11/12*n + 1 = 0. What is n?
-1, 12
Determine s, given that -788*s + 91*s**2 - 329 + 121*s**3 - 155*s**3 - 3*s**4 + 53 - 752*s**2 - 118*s**3 = 0.
-46, -3, -1, -2/3
Let b be (-520)/(-30) - (-7 - (-8 + 5)). Let v(s) = 6*s - 4. Let m be v(1). Factor 16/3*i - 1/3*i**m - b.
-(i - 8)**2/3
Let l be ((-2645)/(-47610))/((-2)/(-8)). Factor -l*w**2 + 128/9*w - 2048/9.
-2*(w - 32)**2/9
Let q(v) be the second derivative of 0 + 19/108*v**4 - 2/3*v**2 - 139*v - 4/27*v**3 - 1/90*v**6 + 1/45*v**5. Find m such that q(m) = 0.
-2, -2/3, 1, 3
Let b(w) be the second derivative of -2*w**7/63 + 8*w**6/9 - 17*w**5/5 - 4*w - 45. Factor b(l).
-4*l**3*(l - 17)*(l - 3)/3
Let k be 2/(-1 + (-4)/(-1)). Let h be 82550/30225 + (-33)/31 + 1. Determine q so that -h + k*q**2 + 8/3*q - 2/3*q**3 = 0.
-2, 1, 2
Suppose 156*f + 12 = 162*f. Let -13*u**f + 12*u**2 + 81 - 84*u + 4*u**2 = 0. What is u?
1, 27
Factor -14/9*o - 16/3*o**3 + 44/9*o**2 + 20/9*o**4 + 0 - 2/9*o**5.
-2*o*(o - 7)*(o - 1)**3/9
Suppose -5*n - 4*v + 7 = 0, 0 = 3*n + v - 0*v - 7. Suppose -3*s + 19 = f, s + 8*f = n*f - 17. Factor -b**2 + 3 - 3*b**2 + 2*b**2 - b**2 - s*b.
-(b + 3)*(3*b - 1)
Let g = -33818 + 169114/5. Suppose 2/5*p**4 - 1/5*p**5 - 22/5*p**2 + g + 9/5*p**3 - 4/5*p = 0. Calculate p.
-3, -1, 2
Let h = 4/297 - -1469/1188. Let l(x) = x**3 - x**2 + 15*x - 32. Let z be l(2). Factor -h - 5/2*y - 5/4*y**z.
-5*(y + 1)**2/4
Suppose 0 = -185*b + 184*b + 2. Suppose 0 = 6*r - 14 + b. Find p such that -15*p**3 + 100 + 55*p**r - 38*p - 120 - 2*p = 0.
-1/3, 2
Let t(a) = 61*a**2 + 56*a - 1. Let x(d) be the third derivative of -d**5/5 - 11*d**4/24 + 5*d**2 - 2*d. Let f(q) = 4*t(q) + 22*x(q). Factor f(u).
-2*(2*u + 1)*(5*u + 2)
Let m(l) be the second derivative of 122*l + 1/6*l**3 + 0 + 3/2*l**2 - 1/48*l**4. Factor m(x).
-(x - 6)*(x + 2)/4
Let x(g) be the second derivative of g**5/120 - 7*g**4/36 + 25*g**3/36 - g**2 - 3*g + 223. Factor x(n).
(n - 12)*(n - 1)**2/6
Determine n, given that -183872*n - 2716/5*n**2 - 2/5*n**3 + 369920 = 0.
-680, 2
Let u(l) = -2*l**2 + 48*l + 8. Let p be u(17). Let s be p/252 - (-3 - (-88)/28). Factor -1/3 + s*d - 5/6*d**3 + 1/3*d**2.
-(d - 1)*(d + 1)*(5*d - 2)/6
Let a(w) be the third derivative of 5/12*w**4 + w + 0 - w**2 + 25/6*w**3 + 1/60*w**5. Find h such that a(h) = 0.
-5
Let g be 39/((-5265)/(-150))*(-276)/(-20). Factor -g*b + 8*b**2 + 10/3.
2*(3*b - 5)*(4*b - 1)/3
Let i(p) be the first derivative of -318 - 2/3*p**3 + 3*p**2 - 4*p. Factor i(h).
-2*(h - 2)*(h - 1)
Let h(k) be the second derivative of -k**6/10 - 9*k**5/4 + 39*k**4/4 + 79*k**3/2 - 153*k**2 + 1463*k - 2. Solve h(m) = 0.
-17, -2, 1, 3
Let l(m) = -2*m**4 + 46*m**3 - 178*m**2 + 188*m. Let y(g) = 3*g**4 - 47*g**3 + 176*g**2 - 188*g. Let t(x) = 4*l(x) + 3*y(x). Factor t(w).
w*(w - 2)**2*(w + 47)
Let 971/3*h + 162 - 2/3*h**2 = 0. Calculate h.
-1/2, 486
Let c be (-1 - -1) + 2/12*0. Suppose c = -2*q - 5*p + 2*p, 5*p = -10. Let -4*h**3 + h**3 + 5*h**5 + 2*h**q - 4*h**3 = 0. Calculate h.
-1, 0, 1
Let w(q) be the first derivative of -3200/9*q**3 - 2000/9*q**2 - 4096/45*q**5 - 625/9*q + 41 - 2560/9*q**4. Factor w(l).
-(8*l + 5)**4/9
Suppose 0 = 435*q - 1072 - 225 - 8. Let -3*z**3 + q*z + 15/7*z**2 - 18/7 + 3/7*z**4 = 0. Calculate z.
-1, 1, 6
Let q(r) = 5*r**3 - 65*r**2 - 153*r - 79. Let w(a) = 4*a**3 - 68*a**2 - 154*a - 79. Let u(g) = -3*q(g) + 4*w(g). Find c such that u(c) = 0.
-1, 79
Let i = 6180/7 - 29808/35. Let q be 112/32 - -3*(-2)/12. Find m, given that -i*m - 21/5*m**q - 111/5*m**2 - 36/5 = 0.
-3, -2, -2/7
Determine f so that 0 + 8/15*f**3 - 32/15*f**2 - 6/5*f**5 + 0*f + 24/5*f**4 = 0.
-2/3, 0, 2/3, 4
Suppose -y - 3*o + 8 = 5, 4*y - 12 = 2*o. Suppose -20*i + 15*i + 26 = y*p, -2 = -3*p + i. Factor 0 - 3/2*w**p - 1/2*w**3 - w.
-w*(w + 1)*(w + 2)/2
Let a(o) = o**3 + 93*o**2 + 157*o - 267. Let p(t) = 15*t**3 + 1580*t**2 + 2670*t - 4545. Let g(n) = 35*a(n) - 2*p(n). Let g(y) = 0. Calculate y.
-17, -3, 1
Let c(k) be the third derivative of k**6/720 + 511*k**5/120 + 261121*k**4/48 + 133432831*k**3/36 + 154*k**2 - 4*k + 2. Determine v so that c(v) = 0.
-511
Let p(y) be the second derivative of -3*y**5/20 - 8*y**4 - 325*y**3/2 - 1521*y**2 - 4*y + 96. Suppose p(g) = 0. Calculate g.
-13, -6
Suppose d - 16 = -3*r, -5*r = d - 7 - 17. Let q(k) be the first derivative of 33/4*k**d - 37/3*k**3 - 2*k + 15/2*k**2 + 8 - 9/5*k**5. Factor q(g).
-(g - 2)*(g - 1)*(3*g - 1)**2
Let v = -47 + 52. Suppose -5 = -2*t + q, 7*q - v = -3*t + 9*q. Factor 4*n**t + 4*n - 1599 - 8*n**3 + 1599.
4*n*(n - 1)**2*(n + 1)**2
Suppose -322*a + 279*a = -172. Let y(l) be the third derivative of -2/105*l**7 - 25*l**2 - 1/15*l**5 - 32/3*l**3 + 0*l + 0