 the second derivative of o*r**3 - 10/3*r**2 + 0 + 6*r + 7/36*r**4. Let j(n) = 0. Calculate n.
-10, 2/7
Let q = 39/40 - 107/120. Let z(g) be the second derivative of 6*g - g**3 - q*g**4 - 9/2*g**2 + 0. Factor z(j).
-(j + 3)**2
Let c(r) be the third derivative of -r**5/240 - 89*r**4/32 + 269*r**3/12 + 5*r**2 + 72*r. Suppose c(v) = 0. Calculate v.
-269, 2
Let y(x) be the first derivative of -1/15*x**5 - 5/4*x**4 + 0*x - 157 + 34/9*x**3 + 0*x**2. Solve y(m) = 0 for m.
-17, 0, 2
Suppose -l - 4*w = -62, -4*l - 222 = -8*l - 3*w. Let h = 58 - l. Factor 2/9*v**3 + 4/9 + 2/9*v**h - 2/3*v**2 - 2/9*v.
2*(v - 1)**2*(v + 1)*(v + 2)/9
Let b(p) be the third derivative of -16/9*p**3 + 0 + 1/6*p**4 + 0*p - 1/180*p**5 + 142*p**2. Find g such that b(g) = 0.
4, 8
Let a be ((-4)/(-12))/(10/(-810)). Let o be (60/a - -2)/((-1)/6). Let -2/3*l**4 + 0 - o*l**3 + 8/3*l**2 + 16/3*l = 0. What is l?
-2, 0, 2
Determine u, given that -344/7*u**2 + 0 + 2/7*u**4 - 48/7*u**3 - 480/7*u = 0.
-4, -2, 0, 30
Let i = 95895 - 287684/3. Determine h so that -i*h**2 - 2/3 - 7/6*h + 1/6*h**3 = 0.
-1, 4
Let v = -4 + 10. Let u be 0 + 0 - (v - 8). Determine a, given that -25*a + 4*a**2 + 18 + a**u + 2 = 0.
1, 4
Let s(g) = -16*g - 77. Let z be -75*11/(-110)*(-4)/6. Let l be s(z). Factor -3/7*t**4 + 0*t**l + 0*t + 3/7*t**2 + 0.
-3*t**2*(t - 1)*(t + 1)/7
Let o = -52603/40 + 6576/5. Let w(s) be the second derivative of -9/2*s**2 + 27*s - 5/4*s**3 + o*s**4 + 0. Find x, given that w(x) = 0.
-1, 6
Let y = 59587 + -298869/5. Let f = y - -230. Solve -48/5*o**3 - 4/5*o**4 - f*o**2 - 324/5 - 432/5*o = 0.
-3
Let -13/2*u**3 + 1/4*u**4 - 38*u**2 + 279/4 - 51/2*u = 0. Calculate u.
-3, 1, 31
Let s be (-16995)/(-26) + 114/(-741). Let z = s - 653. Factor -3/2*x + 1 + z*x**2.
(x - 2)*(x - 1)/2
Let g = 75 - 64. Suppose 3*r + 2*k = g - 1, 5*r - 2*k = 22. Determine n, given that 214*n**3 + n**r - 27*n**2 + 36*n - 207*n**3 - 10 + 0*n**4 - 7*n = 0.
-10, 1
Let f be (-10)/(-8)*-4*187/(-34). Let o(y) be the first derivative of f*y**4 + 38 + 115/3*y**3 + 0*y + 5*y**5 + 15*y**2. Factor o(v).
5*v*(v + 1)*(v + 3)*(5*v + 2)
Let h(r) = -r**4 - r**3. Let z(a) be the third derivative of -2*a**7/105 - a**6/60 - a**5/60 + 154*a**2. Let i(d) = -14*h(d) + 4*z(d). Solve i(s) = 0 for s.
0, 1, 2
Let d(i) be the third derivative of i**6/480 + 983*i**5/240 + 240091*i**4/96 - 243049*i**3/8 - 12*i**2 - 14*i + 1. Factor d(p).
(p - 3)*(p + 493)**2/4
Let n = 304623527/2070 + -147161. Let a = -5/207 + n. Factor 2/5 - 3/10*d - a*d**2.
-(d - 1)*(d + 4)/10
Let k(q) = 102*q + 2356. Let z be k(-23). Find y, given that 31/3*y + z + 10/3*y**2 + 1/3*y**3 = 0.
-5, -3, -2
Let n = -81 - -76. Let v(c) = 11*c**2 - 42*c + 5. Let t(q) = 88*q - 12 + 17*q + 12*q**2 - 39*q**2. Let d(z) = n*t(z) - 12*v(z). Factor d(l).
3*l*(l - 7)
Let q(k) be the third derivative of -3*k**7/70 + 7*k**6/20 + 34*k**5/5 + 57*k**4/4 - 261*k**3/2 + 2*k**2 + 749*k. Solve q(l) = 0.
-3, 1, 29/3
Let u be 3*(-2)/4*19692/(-14769). Determine d, given that 1/10*d + 0 + 1/2*d**3 + 2/5*d**u + 1/5*d**4 = 0.
-1, -1/2, 0
Let y = -118 + 1142. Let -32*t + 1008 + 3*t**4 + 9*t**3 - t**3 + t**4 - 12*t**2 - y = 0. Calculate t.
-2, -1, 2
Suppose -5*c - 120 = -4*c - 16*c. Let n(p) be the third derivative of 0*p + 1/510*p**5 - c*p**2 - 1/204*p**4 + 0*p**3 + 0. Suppose n(y) = 0. Calculate y.
0, 1
Suppose 2/7*m**3 + 0 + 0*m - 40*m**2 = 0. Calculate m.
0, 140
Let a(j) be the third derivative of 0*j - 76 + 0*j**3 - 1/45*j**5 + 1/315*j**7 + 1/180*j**6 + j**2 + 0*j**4. Suppose a(t) = 0. Calculate t.
-2, 0, 1
Let h(n) be the second derivative of -n**6/90 + n**5/15 + 4*n**4/3 + 247*n**3/6 + 93*n. Let m(d) be the second derivative of h(d). Suppose m(p) = 0. What is p?
-2, 4
Let p(o) be the first derivative of -3*o**5/5 - 3*o**4/4 + 28*o**3 + 114*o**2 + 144*o + 1848. Suppose p(a) = 0. Calculate a.
-4, -2, -1, 6
Let h(f) be the third derivative of -f**6/72 - f**5/6 - 5*f**4/8 - 15*f**3 + 42*f**2. Let c(j) be the first derivative of h(j). Factor c(r).
-5*(r + 1)*(r + 3)
Let i(w) be the second derivative of 2 + 0*w**2 + 2/57*w**4 - 75*w - 1/190*w**5 + 32/57*w**3. Factor i(f).
-2*f*(f - 8)*(f + 4)/19
Let z(k) be the first derivative of -k**5/10 - 131*k**4/8 + 698. Factor z(o).
-o**3*(o + 131)/2
Let t(d) be the first derivative of d**4/12 - 2*d**3 + 12*d**2 - 763. Solve t(b) = 0 for b.
0, 6, 12
Let h = -22915540/1653 - -13863. Let f = 3319/21489 + h. Find c such that 2/13*c**3 + f*c**2 + 0 + 0*c = 0.
-1, 0
Let j(p) be the first derivative of 4*p**5/5 - 25*p**4/2 + 92*p**3/3 + 52*p**2 - 240*p - 2762. Suppose j(o) = 0. What is o?
-3/2, 2, 10
Let d(t) be the second derivative of t**5/10 + 184*t**4 + 135424*t**3 + 49836032*t**2 + 9*t + 47. Factor d(h).
2*(h + 368)**3
Suppose -282*r + 8492 = -89*r. Let q(y) be the first derivative of 0*y + 0*y**2 - r + 1/15*y**3. Solve q(t) = 0 for t.
0
Let f(t) = 39*t**2 + 21*t - 9. Let a be ((4 - 4) + 2)/((-8)/20). Let v(m) = -76*m**2 - 43*m + 18. Let z(s) = a*f(s) - 3*v(s). Factor z(g).
3*(g + 1)*(11*g - 3)
Let i(h) be the second derivative of -h**4/6 - 47*h**3/3 - 420*h**2 + 4*h - 1298. Factor i(c).
-2*(c + 12)*(c + 35)
Let f(s) be the first derivative of 4*s**3/3 - 1456*s**2 - 2916*s + 3464. Factor f(n).
4*(n - 729)*(n + 1)
Suppose 13*m + 38 = 32*m. Suppose m*l - 5*k = l + 24, -4*k = 4*l. Factor -1/5*f - 1/2*f**2 + 0 - 2/5*f**3 - 1/10*f**l.
-f*(f + 1)**2*(f + 2)/10
Let b(w) = w**2 + w + 1. Let g(q) = -3*q**2 - 48*q - 531. Let v = -188 - -187. Let n(r) = v*g(r) - 2*b(r). What is c in n(c) = 0?
-23
Let j be 12/(-15) + 39382/(-35). Let w = -1124 - j. Solve 10/9*d + 0 + 2/9*d**3 - 4/3*d**w = 0 for d.
0, 1, 5
Let t(m) = -m**2 - 630*m + 2. Let d be t(0). Let f(n) be the first derivative of 1/11*n**4 + 50 + 0*n**d - 2/55*n**5 + 0*n + 0*n**3. Solve f(a) = 0 for a.
0, 2
Factor 86/17*h - 80/17 - 2/17*h**3 - 4/17*h**2.
-2*(h - 5)*(h - 1)*(h + 8)/17
Solve -42*c + 8280*c**2 + 18 - 2*c**3 - 8256*c**2 + 2 = 0.
1, 10
Let o = 200577/4 + -50144. Let k(n) = -n**2 - n + 4. Let z be k(0). Suppose -o*c**3 - 3/4*c**2 + 1/2*c + 3/4*c**z + 0 - 1/4*c**5 = 0. Calculate c.
-1, 0, 1, 2
Let u(z) be the third derivative of 0*z - 1/360*z**6 + 45*z**2 + 0*z**4 + 0*z**5 - 2 + 1/672*z**8 + 1/1260*z**7 + 0*z**3. What is s in u(s) = 0?
-1, 0, 2/3
Let f(q) be the first derivative of 21/8*q**4 - 3*q - 2/5*q**5 - 17/3*q**3 + 108 - 1/24*q**6 + 47/8*q**2. Factor f(a).
-(a - 1)**4*(a + 12)/4
Let y(u) be the first derivative of 1/15*u**4 - 16/15*u**3 + 14/5*u**2 - 3 + 36*u. Let c(n) be the first derivative of y(n). Factor c(v).
4*(v - 7)*(v - 1)/5
Let s be (6/36*-9)/(4 - 27/6). Determine h, given that 0 - 2/11*h**s - 4/11*h**2 - 2/11*h = 0.
-1, 0
Let i(m) be the second derivative of 49*m**6/55 - 346*m**5/55 + 665*m**4/66 + 268*m**3/33 - 12*m**2/11 + 6*m - 209. What is u in i(u) = 0?
-1/3, 2/49, 2, 3
Let r(n) = 6*n**2 - 74*n + 28. Let k be r(12). Suppose -t = z - 4*z + 10, 4*z + 8 = -k*t. Determine i so that -2*i - 4/3*i**z - 2/9*i**3 + 0 = 0.
-3, 0
Suppose -3*c + 34 = -5*c. Let g(h) = 91*h**2 + 38*h + 10. Let f(y) = -272*y**2 - 115*y - 29. Let n(o) = c*g(o) - 6*f(o). Factor n(d).
(5*d + 2)*(17*d + 2)
Let t be (-2)/8*(9635/329 + -43). Factor 0*r**2 + 2/7*r**3 + 32/7 - t*r.
2*(r - 2)**2*(r + 4)/7
Let j(u) be the second derivative of -u**7/3360 + u**6/240 + 3*u**5/40 - 5*u**4/12 - u**3 - 87*u. Let f(t) be the third derivative of j(t). Factor f(y).
-3*(y - 6)*(y + 2)/4
Let a(u) = 3*u**3 + 45*u**2 - 310*u - 4728. Let v(w) = -2*w**3 - w - 2. Let z(o) = -a(o) - 2*v(o). Determine c, given that z(c) = 0.
-7, 26
Determine n, given that -67*n**2 + 1220 - 842*n**3 + 175*n**2 - 834*n + 432*n**3 + 412*n**3 = 0.
-61, 2, 5
Let -27528/7*g**2 - 80/7 - 1369/7*g**3 - 2964/7*g = 0. Calculate g.
-20, -2/37
Let s(i) = -6*i**5 + 76*i**4 - 168*i**3 + 138*i**2 - 56*i. Let x(z) = -z**5 + z**2 + 4*z. Let v(q) = s(q) + 6*x(q). Factor v(h).
-4*h*(h - 2)**3*(3*h - 1)
Let w(h) be the first derivative of -4/9*h**3 - 103 + 0*h**2 - 8/15*h**5 + 5/6*h**4 + 0*h + 1/9*h**6. Factor w(m).
2*m**2*(m - 2)*(m - 1)**2/3
Solve -19*l**2 + 9/5*l**3 - 152/5*l - 48/5 = 0 for l.
-1, -4/9, 12
Determine k so that 876*k**2 + 4*k**4 + 350 + 2697*k**3 - 62 - 868*k - 2997*k**3 = 0.
1, 72
Let y(q) = -q + 46. Let d be y(2). Suppose 6*g**5 - 122*g**2 + 80*g**4 + 69*g**4 - 50*g**3