he third derivative of i(a). Factor d(x).
-4*x*(x - 1)*(x + 1)
Determine a, given that a**5 - 33*a**3 + 32*a**4 - 2*a**3 + 90*a**2 - 56*a - 32*a**4 = 0.
-7, 0, 1, 2, 4
Let c be (2 - 22/8)/(63/(-840)*5). Let w(s) be the second derivative of -1458*s**c + 1/5*s**5 + 0 + 21*s - 9*s**4 + 162*s**3. Solve w(y) = 0 for y.
9
Let j be (-8)/176 + 855/660. Let r = 3/17 - -11/34. Factor -r - 1/4*s - j*s**3 + 2*s**2.
-(s - 1)**2*(5*s + 2)/4
What is z in 86/3*z**3 + 53/3*z**2 - 56/3 + z**4 - 86/3*z = 0?
-28, -1, -2/3, 1
Let g be (-70)/4*768/(-320). Suppose g*z - 24*z = 0. Factor 0 - 4/15*d**3 + z*d + 0*d**2 + 2/15*d**5 - 2/15*d**4.
2*d**3*(d - 2)*(d + 1)/15
Let u(f) = -f**2 + 65*f + 206. Let r = 420 - 423. Let q be u(r). Factor 0 + 4/7*o**q + 8/7*o.
4*o*(o + 2)/7
Let p(m) = -65*m**3 + 230*m**2 - 265*m + 80. Let q = 19 + -29. Let y(a) = 22*a**3 - 77*a**2 + 88*a - 27. Let k(i) = q*y(i) - 3*p(i). Factor k(t).
-5*(t - 1)**2*(5*t - 6)
Let g(k) be the first derivative of 242*k**5/15 + 33*k**4 + 74*k**3/9 - 12*k**2 + 8*k/3 - 1818. Factor g(l).
2*(l + 1)**2*(11*l - 2)**2/3
Let t(m) be the second derivative of -m**6/120 + 23*m**5/80 + 13*m**4/24 - 2*m**3 - 62*m - 11. What is g in t(g) = 0?
-2, 0, 1, 24
Let i(u) = -41*u**3 + u + 1. Let r be i(-1). Let z be -45 + r + -1*11/(-2). Factor z*w - 3 - 3/2*w**3 + 3*w**2.
-3*(w - 2)*(w - 1)*(w + 1)/2
Suppose -2*n + 10 = 2. Factor 9*q**3 + 8*q - 11*q**3 + 2*q**4 - 4 - 2*q + n*q - 6*q**2.
2*(q - 1)**3*(q + 2)
Let d(u) be the first derivative of 1/10*u**5 + 0*u - 28 + 1/4*u**4 + 0*u**2 + 1/6*u**3. Suppose d(g) = 0. What is g?
-1, 0
Let t be (1 + (-1 - 577))/(-1). Suppose 0 = 5*l - 19 + 9. Let -10*u - 4*u + 4*u + 15 + t*u**2 - 582*u**l = 0. What is u?
-3, 1
Let i(z) be the first derivative of z**4/20 + z**3/15 - 17*z**2/10 + 3*z + 2049. Find s such that i(s) = 0.
-5, 1, 3
Let l = -299 - -298. Let s be (l - 3/(-3))*3/(-6). Factor -9*t**3 - 33/7*t**2 - 51/7*t**4 + s - 15/7*t**5 - 6/7*t.
-3*t*(t + 1)**3*(5*t + 2)/7
Suppose 239*o + 94*o = 0. Let n(v) be the third derivative of -1/180*v**6 + 31*v**2 + 0 + o*v + 0*v**3 + 1/180*v**5 + 1/72*v**4. Find r such that n(r) = 0.
-1/2, 0, 1
Factor -40/7*a + 0 + 2/7*a**5 + 118/7*a**2 - 114/7*a**3 + 34/7*a**4.
2*a*(a - 1)**3*(a + 20)/7
Let j be (-8)/(-7 + -1) - -2. Suppose -20*o**2 - 122*o**2 - 13*o**3 + 35*o**5 - 190*o - j*o**2 + 168*o**3 - 40 + 185*o**4 = 0. Calculate o.
-4, -1, -2/7, 1
Let i(k) be the first derivative of 0*k**2 + 0*k**3 - 29 + 0*k - 2/45*k**5 + 0*k**4. Suppose i(q) = 0. Calculate q.
0
Let i(y) be the first derivative of -y**6/6 - 7*y**5/5 - 3*y**4 + 16*y**3/3 + 32*y**2 + 48*y + 586. Solve i(p) = 0.
-3, -2, 2
Let c(h) be the first derivative of -7 + 8/3*h**2 + 8/9*h + 14/45*h**5 + 86/27*h**3 + 5/3*h**4. Determine b so that c(b) = 0.
-2, -1, -2/7
Let g = -16139 - -16142. Let t(i) be the first derivative of -4/3*i**g + 12*i + 4*i**2 + 31. What is d in t(d) = 0?
-1, 3
Let n(b) be the third derivative of 0*b - 1/240*b**5 + 0 + 19/96*b**4 + 0*b**3 + 62*b**2. Factor n(r).
-r*(r - 19)/4
Suppose 5*h = 5, 0*u + 3*u + 2*h = -34. Let r be 40/u*30/(-50). Factor 1/2 - 3/4*v + 1/4*v**r.
(v - 2)*(v - 1)/4
Let k(l) be the third derivative of 1/70*l**7 - 1/112*l**8 + 0*l**3 + 95*l**2 - 3/4*l**4 + 0*l + 1 - 1/20*l**5 + 7/40*l**6. Let k(i) = 0. Calculate i.
-2, -1, 0, 1, 3
Suppose -6*j + 7*j = 5. Suppose 0 = -5*t - 3*m + 42, -26 = -t - 0*m - j*m. What is c in -3*c**5 - 9*c + 30*c**3 + 6*c**4 + 10*c**3 - t*c**2 - 28*c**3 = 0?
-1, 0, 1, 3
Factor -161*w**4 - 560*w**2 - 1590*w + 96*w**4 + 150*w**3 - 19 - 856 + 60*w**4.
-5*(w - 25)*(w - 7)*(w + 1)**2
Determine i, given that 9/5 - 874/5*i**3 + 88/5*i**2 - 97/5*i**4 + 874/5*i = 0.
-9, -1, -1/97, 1
Let p be (-245)/(-621) + (-46)/(-529). Let k = p - -49/459. Suppose 0 + k*n**2 + 22/17*n**3 - 6/17*n + 6/17*n**4 = 0. Calculate n.
-3, -1, 0, 1/3
Let j(a) = 4*a**2 + 13522*a - 7607211. Let f(b) = -3*b**2 - 6762*b + 3803601. Let u(k) = -5*f(k) - 3*j(k). Solve u(l) = 0 for l.
1126
Let c(s) = -5*s**3 + 11*s**2 - 15*s + 13. Let h be 4 - ((-8)/(-2) + 1). Let w(k) = k**3 - k**2 - 1. Let x(v) = h*c(v) - 4*w(v). Suppose x(d) = 0. Calculate d.
1, 3
Suppose 0*k + 41 = 3*j + 5*k, -5*j + 4*k = 18. Determine r so that -96*r - 96/5 + 258/5*r**j - 33/5*r**3 = 0.
-2/11, 4
Suppose 5*n - 13 = 4*v, 5*n - 11 = 3*v + n. Suppose 92*w + 0*w**2 + 4*w**2 + 7 - v*w**2 - 100*w = 0. Calculate w.
1, 7
Suppose -127*i = -351 - 30. Determine p so that -16/5*p**i - 9/5*p**4 - p**2 + 2/5*p + 0 = 0.
-1, 0, 2/9
Let l(a) be the first derivative of -a**6/27 + 358*a**5/45 - 8275*a**4/18 + 47522*a**3/27 - 23408*a**2/9 + 15488*a/9 - 2293. Factor l(u).
-2*(u - 88)**2*(u - 1)**3/9
Let i(r) be the first derivative of -2/27*r**3 - 1/90*r**5 + 15 - 36*r + 1/18*r**4 + 0*r**2. Let g(s) be the first derivative of i(s). Factor g(v).
-2*v*(v - 2)*(v - 1)/9
Let k(p) = -6*p - 12. Let z be k(-2). Let u = -4037/2 - -2019. Find r, given that -u*r - 1/2*r**2 + z = 0.
-1, 0
Factor 21*o**4 - 16*o + 5224*o**3 - 9*o**4 - 5246*o**3 - 100*o**2.
2*o*(o - 4)*(o + 2)*(6*o + 1)
Let t = -77 + 79. Factor a**t - 6*a - 4*a - 2*a + 15*a.
a*(a + 3)
Let q(y) be the third derivative of -17/6*y**3 + 1/40*y**5 + 0 + 0*y + 1/16*y**4 + 20*y**2 - 1/80*y**6. Let o(l) be the first derivative of q(l). Factor o(g).
-3*(g - 1)*(3*g + 1)/2
Let z be 48162/(-11880) + 4 + 18/324. Let q(l) be the third derivative of 0*l**3 - z*l**5 - 3*l**2 - 1/66*l**4 + 0 + 0*l. Factor q(o).
-o*(o + 4)/11
Let f = 321057 - 1284213/4. Factor -141/4*r + 45/4 + f*r**2 + 9/4*r**3.
3*(r - 3)*(r + 5)*(3*r - 1)/4
Let o be (3 - -1)/(-1) + (-6638)/18. Let u = o - -373. What is g in 0*g**2 + 0*g + u*g**3 + 0 - 4/9*g**4 = 0?
0, 1/2
Let v be (-76)/(-304)*(1 - (-3)/(-11)). Suppose 0 + 32/11*k + v*k**2 = 0. Calculate k.
-16, 0
Let i be (0*8/(-120)*-5)/(-6). Suppose 5*o + 5 = 5*n, 5 = o - 0*o. Factor -3/2*d**2 - 3*d + i + n*d**3 + 9/2*d**4.
3*d*(d + 1)**2*(3*d - 2)/2
Let d(o) be the second derivative of -o**7/294 + 316*o**6/35 - 299568*o**5/35 + 63108992*o**4/21 - 125*o + 1. Determine y, given that d(y) = 0.
0, 632
Let j(o) be the first derivative of -o**4/3 - 20*o**3/9 + 56*o**2/3 + 128*o/3 - 49. Let j(a) = 0. Calculate a.
-8, -1, 4
Let y be (92/(-184))/(1/(-8 + 2)). Let m(u) be the first derivative of -5/3*u**y + 0*u**2 + 21 + 0*u - 3*u**5 + 5*u**4. Factor m(v).
-5*v**2*(v - 1)*(3*v - 1)
Let s(y) be the first derivative of -y**6/90 + 3*y**4/2 + 34*y**3/3 - 92. Let t(k) be the third derivative of s(k). Solve t(w) = 0 for w.
-3, 3
Let z(r) be the second derivative of -r**6/90 - 29*r**5/30 - 1249*r**4/36 - 1972*r**3/3 - 6936*r**2 + 1394*r. Factor z(j).
-(j + 12)**2*(j + 17)**2/3
Let f(d) = 3*d**2 + 4*d + 5. Let t(q) = -21*q**2 - 12*q + 390. Let x(v) = 6*f(v) + t(v). What is j in x(j) = 0?
-10, 14
Let v(j) be the third derivative of j**7/1260 + 11*j**6/144 + 41*j**5/15 + 335*j**4/9 - 1600*j**3/9 + j**2 - 2*j + 257. Solve v(l) = 0.
-20, -16, 1
Find j such that 3/4*j**2 + 0 - 27/2*j = 0.
0, 18
Let j(x) = -41*x + 3 - 48*x**2 - 8 - 4*x**3 + 4 + 4. Let u(s) = -20*s**3 - 240*s**2 - 206*s + 14. Let p(h) = 14*j(h) - 3*u(h). Factor p(l).
4*l*(l + 1)*(l + 11)
Let p(r) = 3*r**2 - 888*r + 72087. Let n(q) = -7*q - 2. Let b(z) = 6*n(z) + p(z). Solve b(i) = 0 for i.
155
Let a = -1737 - -1751. Let b(p) be the first derivative of -4/9*p**3 - 4/3*p**2 + 4*p - a. Factor b(y).
-4*(y - 1)*(y + 3)/3
Let g(f) = -3*f**2 + 222*f - 2077. Let x be g(11). Find c such that -2/3*c**5 + 0*c - 4/3*c**4 - 8/3*c**x + 0 + 14/3*c**3 = 0.
-4, 0, 1
Let o(x) = 14 - 21*x + 20*x**2 - 46*x**2 + 31*x**2. Let u(q) = 9*q**2 - 39*q + 27. Let v(k) = 9*o(k) - 4*u(k). Factor v(a).
3*(a - 3)*(3*a - 2)
Let n = -739 - -754. Let l be 312/52 + n/(-6) + -2. Factor l*f**2 + 3 - 9/2*f.
3*(f - 2)*(f - 1)/2
Let o(i) be the first derivative of i**3/4 + 687*i**2/4 + 157323*i/4 + 790. Find c such that o(c) = 0.
-229
Let j(t) be the third derivative of t**8/15680 - t**6/420 + t**4/8 + t**3/2 + 6*t**2. Let a(l) be the second derivative of j(l). Find i such that a(i) = 0.
-2, 0, 2
Suppose -116 = 4*u + 316. Let w = 111 + u. Factor w*n**2 + 12*n + 3*n**2 - 7*n**2 + 4*n**2.
3*n*(n + 4)
Let -100/3*h**4 + 4692*h**2 - 2140/3*h**3 + 5832 - 9180*h = 0. What is h?
-27, 9/5, 2
Let m(c) be the third derivative of c**7/105 - c**6/15 - c**5/15 + c**4 + 3