n(q).
-3*(q - 623)**2*(q - 1)
Let x(n) be the second derivative of 5/48*n**3 - 12 - 1/24*n**4 + 1/8*n**2 - 3/160*n**5 - 2*n. Let x(a) = 0. Calculate a.
-2, -1/3, 1
Let r(x) be the third derivative of -x**8/168 - 17*x**7/105 - 11*x**6/15 - 14*x**5/15 - 3490*x**2. Let r(k) = 0. What is k?
-14, -2, -1, 0
Solve -74/7*x**2 + 2/7*x**4 - 164/7*x - 4/7*x**3 - 96/7 = 0 for x.
-3, -2, -1, 8
Let x(o) be the second derivative of 15*o**7/14 - 61*o**6/10 + 48*o**5/5 - o**4 - 2075*o. Let x(c) = 0. What is c?
0, 1/15, 2
Suppose -5*n - x = -5*x - 44, -x + 4 = 0. Factor -n*k**3 + k - 2*k**2 - 5*k + 14*k**3.
2*k*(k - 2)*(k + 1)
Suppose 2*x + 671 = f - 176, -3*x + 5*f = 1267. Let h = 426 + x. What is g in 1/4*g**3 + 0 + 1/2*g + 3/4*g**h = 0?
-2, -1, 0
Let w(g) be the second derivative of -35*g**4/3 - 334*g**3 + 292*g**2 - 272*g - 1. Find c such that w(c) = 0.
-73/5, 2/7
Let k(a) be the third derivative of a**5/420 - 47*a**4/168 - 8*a**3/7 - 5262*a**2. Solve k(q) = 0.
-1, 48
Let z(d) be the first derivative of -d**4/30 - 14*d**3/5 - 441*d**2/5 + 73*d + 200. Let g(o) be the first derivative of z(o). Suppose g(u) = 0. What is u?
-21
Suppose -1409408/15*l - 1362944/15 - 2/15*l**4 - 15664/5*l**2 - 106/3*l**3 = 0. What is l?
-88, -1
Let l(v) be the first derivative of -3*v**4/20 - 58*v**3/5 - 168*v**2/5 + 1137. Determine x, given that l(x) = 0.
-56, -2, 0
Suppose -82/5*f - 2 - 12/5*f**4 - 146/5*f**2 - 86/5*f**3 = 0. Calculate f.
-5, -1, -1/6
Let a = 109/1651 - 16981298/11557. Let g = -1469 - a. Solve -g*l**3 + 8/7 - 16/7*l + 10/7*l**2 = 0.
1, 2
Let g(i) be the second derivative of i**7/70 - 7*i**6/120 - 7*i**5/20 - 3*i**4/8 - 5*i**3/3 - 55*i. Let k(b) be the second derivative of g(b). Factor k(v).
3*(v - 3)*(v + 1)*(4*v + 1)
Let s(r) be the third derivative of r**7/735 + r**6/210 - r**5/210 - r**4/42 + 286*r**2. Find j, given that s(j) = 0.
-2, -1, 0, 1
Let h(f) be the second derivative of -f**5/120 + 25*f**4/72 + 913*f**3/36 + 5687*f**2/12 + 8*f - 600. Factor h(n).
-(n - 47)*(n + 11)**2/6
Let k(s) be the third derivative of s**7/84 - 11*s**6/8 + 423*s**5/8 - 2475*s**4/4 + 3375*s**3 - 247*s**2 - 2*s. Factor k(t).
5*(t - 30)**2*(t - 3)**2/2
Let d(z) be the first derivative of -21/5*z**2 + 2/15*z**3 + 137 + 8*z. Find t, given that d(t) = 0.
1, 20
Let q(y) be the second derivative of -y**6/25 + y**5/25 + 13*y**4/10 - 62*y**3/15 + 24*y**2/5 + 5825*y. Let q(k) = 0. What is k?
-4, 2/3, 1, 3
Find s, given that -200/9 - 104/9*s - 2/9*s**2 = 0.
-50, -2
Let g(c) be the first derivative of -1/8*c**4 + 16 + c**3 + 0*c - 1/20*c**5 + c**2. Let r(j) be the second derivative of g(j). Suppose r(b) = 0. What is b?
-2, 1
Suppose -2*n + 2*s = -s + 13, -4*n + 5*s - 21 = 0. Factor -2 - 18 + n + 46*z + 3 + 6*z + 14*z**2.
2*(z + 4)*(7*z - 2)
Suppose n + 5*i = 15, -2*n = 3370*i - 3371*i + 3. Determine c, given that -3/2*c**3 + n*c + 6*c**2 + 0 = 0.
0, 4
Let r(p) be the third derivative of -1/448*p**8 + 72*p**2 + 1/280*p**7 + 0*p**3 + 0*p**4 + 0 - 1/80*p**5 + 1/160*p**6 + 0*p. Factor r(s).
-3*s**2*(s - 1)**2*(s + 1)/4
Let m(d) = -33*d**2 - 65*d + 57. Suppose 0 = -5*q - 2*o - 18, 3*q - 2*o + 14 = -0*q. Let l(f) = -16*f**2 - 32*f + 28. Let t(u) = q*m(u) + 9*l(u). Factor t(p).
-4*(p + 3)*(3*p - 2)
Find o, given that 28*o**2 - 11*o + 4*o**5 + 3815*o**4 + 36*o**3 - 3843*o**4 - 29*o = 0.
-1, 0, 1, 2, 5
Suppose 0 = -4*h + 150*k - 147*k + 37, -4*k - 40 = -3*h. Factor -64/3*c**2 + 0*c - 17/3*c**h + 0 + 1/3*c**5 + 80/3*c**3.
c**2*(c - 8)**2*(c - 1)/3
Let r(f) = -55*f**3 + 169*f**2 - 14*f + 10. Let d be r(3). Factor -75*h - 10*h**3 - 190/3*h**2 + 5*h**d - 27 - 1/3*h**5.
-(h - 9)**2*(h + 1)**3/3
Let k be 10/(-2 + 91/28). Factor 45*f**5 - 7*f**3 - 47*f**5 + 0*f**2 + 0*f**2 - f**3 - k*f**4.
-2*f**3*(f + 2)**2
Let p(t) = -t**3 - 9*t**2 - 8*t + 5. Let c be p(-8). Suppose -c*w + 81 = -24. Factor 0 + 3*f**2 + w*f + 0 - 15*f.
3*f*(f + 2)
Let -11/4*k**2 - 3 - 2*k**3 + 7*k + 3/4*k**4 = 0. What is k?
-2, 2/3, 1, 3
Let t = 97925 - 97921. Factor -4/3*x + 4/3*x**3 - 4*x**2 + t.
4*(x - 3)*(x - 1)*(x + 1)/3
Suppose 0 = -19*s + 17*s - 48. Let l be s/(-2) - (-7 + 10). Factor -18*w**3 - l*w**2 + 5*w + 12*w**3 + 13*w**3 - 2*w**4 - 1.
-(w - 1)**3*(2*w - 1)
Let q(a) be the third derivative of 1/120*a**6 + 0*a**3 - a**2 + 1/12*a**4 + 0 + 7*a + 1/20*a**5. Suppose q(x) = 0. What is x?
-2, -1, 0
Let j(k) = k**2 - 3*k + 21. Let r be j(6). Suppose -3*t = 3*v - r, -2*t - 4*v - v = -29. Factor 10*a**3 - 1 + 3*a**4 - 20*a + t*a**2 + 2*a - 14 + 8*a**3.
3*(a - 1)*(a + 1)**2*(a + 5)
Let c(t) be the third derivative of 0*t**3 + 5/6*t**4 - 6*t**2 - 1/120*t**6 - 3 + 0*t + 1/60*t**5. Factor c(z).
-z*(z - 5)*(z + 4)
Let o = 19006 - 1254395/66. Let k(t) be the second derivative of -17*t + 0 - o*t**4 - 6/11*t**2 - 7/33*t**3. Let k(d) = 0. What is d?
-6, -1
Let t(u) = 8*u**3 - u + 7. Let j(n) = 4*n**5 - 88*n**4 - 264*n**3 + 272*n**2 + 120*n - 324. Let i(z) = j(z) + 20*t(z). What is x in i(x) = 0?
-2, -1, 1, 23
Let w(i) = 32*i**3 + i**2 - 9*i - 10. Let s be w(-1). Let n be (s/(-50))/(-5 - 212/(-40)). Factor n*b**2 + 16/5*b + 6/5.
2*(4*b + 3)**2/15
Let g = -8977 + 26932/3. Let p(k) be the second derivative of -g*k**3 + 21*k - 1/5*k**4 - 1/150*k**6 - 3/50*k**5 + 0 - 3/10*k**2. Factor p(s).
-(s + 1)**3*(s + 3)/5
Solve -2/3*c**3 - 34/3*c**2 - 38/3 + 74/3*c = 0.
-19, 1
Factor -3041750/17 + 2/17*l**3 + 79350/17*l - 690/17*l**2.
2*(l - 115)**3/17
Let -j**2 - 64 + 4*j**2 - 13*j + 13*j - 2*j**2 = 0. Calculate j.
-8, 8
Let r be (12366/(-162) + 79)/((-4)/18 + 20/9). Factor 14/3*n**2 - r*n**3 - 2/3*n**4 - 8/3*n + 0.
-2*n*(n - 1)**2*(n + 4)/3
Factor -2/5*m**3 - 4/5*m**2 + 72/5 + 6*m.
-2*(m - 4)*(m + 3)**2/5
Let s(z) = -z + 36. Let a be s(34). Let w be (-29)/(-3) + (10 - (15 - 2)). Suppose 0*u + 0 - w*u**a + 4/3*u**3 = 0. What is u?
0, 5
Let z(x) be the second derivative of -x**6/195 - 62*x**5/13 - 47426*x**4/39 + 9920*x**3 - 29952*x**2 + 2813*x. Factor z(i).
-2*(i - 2)**2*(i + 312)**2/13
Let p(q) = q**3 + 131*q + 4. Let t be p(0). Factor -1/4*x**5 + 0 + 3/2*x**3 + 0*x + 0*x**2 + 5/4*x**t.
-x**3*(x - 6)*(x + 1)/4
Let f(z) be the first derivative of z**3/3 + z**2/2 + 2*z + 164. Let l(w) = 7*w**2 - 48*w + 129. Let p(s) = -2*f(s) + l(s). Find o, given that p(o) = 0.
5
Let w(r) be the third derivative of -r**7/20160 - r**6/1920 + 41*r**4/24 + 68*r**2. Let g(t) be the second derivative of w(t). Factor g(c).
-c*(c + 3)/8
Let x = 45041 + -270245/6. Factor 0*i**2 - x*i**3 + 0*i + 0.
-i**3/6
Let q(y) be the first derivative of -y**4/18 - 104*y**3/27 - 101*y**2/9 - 100*y/9 + 1625. Solve q(i) = 0 for i.
-50, -1
Let h = -1380 - -1615. Suppose 0 = -8*f + 259 - h. Factor -1/2*t**5 - 3*t**4 - 4*t**2 + 0 + 0*t - 6*t**f.
-t**2*(t + 2)**3/2
Let t(q) be the second derivative of 3*q**5/160 + 19*q**4/32 - 7*q**3/2 - 1323*q**2/4 - 1214*q. Factor t(l).
3*(l - 9)*(l + 14)**2/8
Let s(p) be the first derivative of 125*p**4/4 + 130*p**3/3 - 115*p**2/2 - 120*p + 2139. Solve s(k) = 0.
-1, 24/25
Let a be 6/((-7)/((-28)/6)). Factor 11*q**a + 0*q**5 + q**5 - 11*q**3 - 36*q**2 + 35*q**3.
q**2*(q - 1)*(q + 6)**2
Let c(o) be the third derivative of 7/360*o**6 + 1/72*o**4 + 0*o**3 - 2*o + 6*o**2 + 0 + 2/45*o**5. Suppose c(l) = 0. Calculate l.
-1, -1/7, 0
Let f be 61*((8 - 5) + (-8)/2). Let h = f + 64. Determine o so that 10*o + 15*o**2 + h*o**3 + 2*o - 27 - o - 2*o = 0.
-3, 1
Let y = -49635 + 49638. Let 32/13 + 46/13*h**4 + 64/13*h - 64/13*h**2 - 10/13*h**5 - 40/13*h**y = 0. Calculate h.
-1, -2/5, 2
Let k(t) be the third derivative of 0*t**3 + 1/1176*t**8 - 11*t**2 - 1/147*t**7 + 0*t - 1/30*t**5 - 13/420*t**6 + 0*t**4 + 0. Factor k(g).
2*g**2*(g - 7)*(g + 1)**2/7
Let o(t) = 351*t - 3558 - 44*t + 366 - 1556 - 5*t**2 - 60. Let y(z) = -10*z**2 + 615*z - 9615. Let m(b) = -5*o(b) + 3*y(b). Factor m(a).
-5*(a - 31)**2
Let c be (174/(-203))/((-3)/14). Let q(y) be the third derivative of 0*y + 0 - 3*y**2 + 0*y**3 - 1/270*y**5 + 0*y**c. Find l such that q(l) = 0.
0
Let q(f) be the first derivative of -f**3/9 + 86*f**2 - 22188*f + 1265. Factor q(d).
-(d - 258)**2/3
Let d = 7338 - 51365/7. Let v(c) be the first derivative of -d*c**2 + 0*c + 1 - 1/14*c**4 - 4/21*c**3. Factor v(q).
-2*q*(q + 1)**2/7
Let q(h) be the first derivative of 1/16*h**4 + 1/6*h**3 - 1/8*h**2 + 33 - 1/2*h. Find f such that q(f) = 