econd derivative of h(t). Factor n(x).
4*(x + 1)*(x + 4)
Let v(k) be the third derivative of 512*k**3 + 3*k**2 + 0*k - 8*k**4 + 1/20*k**5 + 2. Determine n, given that v(n) = 0.
32
Let i(g) be the second derivative of g**6/30 - g**5/10 - 7*g**4/12 - 2*g**3/3 + 946*g. Find w, given that i(w) = 0.
-1, 0, 4
Suppose -13*n = 169, -39 = 2*p + 35*n - 32*n. Factor 4/5*o**3 + p*o + 0 - 48/5*o**2.
4*o**2*(o - 12)/5
Let q(s) be the third derivative of 121*s**6/420 - 11*s**5/70 - 6*s**4/7 - 16*s**3/21 + 1093*s**2 + 2*s. What is l in q(l) = 0?
-4/11, 1
Let f(o) = -1129*o - 41770. Let m be f(-37). Suppose 9*g**2 - 45/4*g + m + 3*g**3 = 0. Calculate g.
-4, 1/2
Let h be -2 + (-10)/2*168/(-60). Let -18*i**4 - 60*i**2 - 3*i**5 + 55*i**2 - h*i**3 + 15*i + 23*i**2 = 0. What is i?
-5, -1, 0, 1
Let p(y) be the second derivative of y**5/25 - 43*y**4/5 - 272*y**3/15 + 312*y**2 - 40*y + 3. Determine u so that p(u) = 0.
-3, 2, 130
Factor 43264/9*q + 2/9*q**4 + 0 + 416*q**2 - 64/3*q**3.
2*q*(q - 52)**2*(q + 8)/9
What is i in 2/5*i**2 + 879138/5 - 2652/5*i = 0?
663
Let g be (-26)/(-16) - (-84 + 49506/592). Factor 121/4*y**g + 49 - 77*y.
(11*y - 14)**2/4
Let n(z) = 11*z**2 + 126*z - 529. Let f(q) = -4*q**2 + q + 1. Let p(l) = 4*f(l) + n(l). Factor p(g).
-5*(g - 21)*(g - 5)
Let v(n) be the first derivative of -n**3/18 - 173*n**2/2 - 89787*n/2 + 2135. Factor v(y).
-(y + 519)**2/6
Let j(y) = y**3 - 10*y**2 + 7*y - 1. Let x(t) = -6*t**3 - 142*t**2 + 924*t - 764. Let f(q) = -4*j(q) - x(q). Factor f(c).
2*(c - 4)*(c - 1)*(c + 96)
Solve 5*u**4 - 345*u**2 - 300*u**3 - 175*u - 3*u**3 + 138*u**3 = 0 for u.
-1, 0, 35
Let -7*v**2 + 130*v + 2*v**2 + 181 - 421 = 0. Calculate v.
2, 24
Let d(m) be the second derivative of -m**4/90 + m**3 + 102*m**2/5 - 11*m + 10. Determine i, given that d(i) = 0.
-6, 51
Factor 113*v - 2*v**3 + 55/2 + 23/2*v**2.
-(v - 11)*(v + 5)*(4*v + 1)/2
Let d(x) be the third derivative of -1/21*x**7 - 5/336*x**8 + 11/24*x**6 + 40/3*x**3 - 35/6*x**4 - 1 - 63*x**2 + 1/3*x**5 + 0*x. Suppose d(b) = 0. What is b?
-4, -2, 1, 2
Let y(l) = -l**3 - 27*l**2 + 139*l - 101. Let x(v) = 2*v**2 + v + 2. Let q(n) = -6*x(n) + 3*y(n). Suppose q(j) = 0. Calculate j.
-35, 1, 3
Suppose -79*t = -104*t + 50. Suppose t = 3*x - 7*i + 5*i, 4*x + i = -1. What is n in 0*n**2 + 1/10*n**5 + 0 + 0*n + 1/5*n**4 + x*n**3 = 0?
-2, 0
Let i(a) be the first derivative of -6*a - 45/2*a**2 + 18/5*a**5 + 128 - 39/2*a**4 + 9/2*a**6 - 36*a**3. Solve i(c) = 0.
-1, -1/3, 2
Let t be (-3564)/(-243)*8/44. Suppose t*p**2 + 20/3 + 26/3*p = 0. Calculate p.
-2, -5/4
Let c(s) = -37*s**2 - 60*s - 104. Let j(n) = 103*n**2 + 180*n + 311. Suppose -5*p = 2*p + 28. Let u(r) = p*j(r) - 11*c(r). Factor u(y).
-5*(y + 2)*(y + 10)
Let t(o) be the first derivative of o**4/18 + o**3 - 10*o**2/3 + 168*o - 116. Let k(y) be the first derivative of t(y). Factor k(c).
2*(c - 1)*(c + 10)/3
Let c(p) = -6*p + 4. Let h be c(-3). Suppose 17*n = h*n - 10. Factor 8*w**2 + 16*w**3 + 12 + 36*w - 12*w**n + 2*w**3 + 43*w**2 + 3*w**4.
3*(w + 1)**2*(w + 2)**2
Let t(b) = -791*b - 32431. Let g be t(-41). Let h(k) = k + 6. Let x be h(-4). Let 1/11*w**x + g + 1/11*w = 0. Calculate w.
-1, 0
Let i(b) be the second derivative of -2*b**6/15 + 2*b**5 + b**4 - 64*b**3/3 + 40*b**2 + 6431*b. Find r such that i(r) = 0.
-2, 1, 10
What is k in -2/19*k**3 + 130/19*k**2 + 0 - 372/19*k = 0?
0, 3, 62
Let t(r) be the first derivative of -r**6/18 + 23*r**5/15 - 39*r**4/4 + 73*r**3/9 + 59*r**2/3 - 32*r - 2538. Determine p so that t(p) = 0.
-1, 1, 6, 16
Let f(o) = -37*o**3 + 1524*o**2 - 580680*o - 12. Let r(j) = 3*j**3 + 3*j + 1. Let b(c) = -5*f(c) - 60*r(c). Factor b(d).
5*d*(d - 762)**2
Let j(b) be the third derivative of 0 - 8/21*b**3 - 3/28*b**4 + 155*b**2 + 0*b - 1/210*b**5. Suppose j(v) = 0. Calculate v.
-8, -1
Let y(d) = -d**4 - d**3 + 1. Let v(o) be the first derivative of -3*o**5/5 - 13*o**4/4 - 12*o**3 - 18*o**2 + 2*o + 174. Let g(c) = 3*v(c) - 6*y(c). Factor g(z).
-3*z*(z + 2)*(z + 3)*(z + 6)
Let g(r) = -r**2. Let y = -2 + 1. Let d(c) = 50*c**3 + 41*c**2 + 10*c. Let v be (-3)/18 + (-225)/(-54). Let s(m) = v*g(m) + y*d(m). Find t, given that s(t) = 0.
-1/2, -2/5, 0
Let o(w) be the third derivative of w**7/420 + 23*w**6/240 - 11*w**5/10 + 55*w**4/12 - 28*w**3/3 - 1225*w**2 - 2*w - 2. Find x, given that o(x) = 0.
-28, 1, 2
Let w(a) be the second derivative of a**8/23520 + a**7/980 + a**6/168 + a**5/60 + 14*a**4/3 + 23*a. Let y(d) be the third derivative of w(d). Factor y(c).
2*(c + 1)**2*(c + 7)/7
Let m be ((10/(-5))/12)/((4/(-1))/16). Let l(c) be the first derivative of 5/3*c**2 - 8/9*c**3 - m*c - 29. Factor l(d).
-2*(d - 1)*(4*d - 1)/3
Suppose 28*v - 27 = 19*v. Let b(u) be the first derivative of -1/12*u**6 + 0*u**2 + 0*u - 17 + 0*u**4 - 1/15*u**5 + 0*u**v. Find g, given that b(g) = 0.
-2/3, 0
Suppose 27 = 7439*u - 7430*u. Let j(d) be the second derivative of 0*d**2 + 1/6*d**4 - 1/63*d**7 - 7/30*d**5 + 1/9*d**6 + 0*d**u + 15*d + 0. Factor j(w).
-2*w**2*(w - 3)*(w - 1)**2/3
Suppose a - u + 27 - 80 = 0, 161 = 3*a - 5*u. Factor -5*m - m + m**2 + a - 59.
(m - 7)*(m + 1)
Let d be 3/10 + (-8)/(-24) + 6/(-45). Let x(t) be the first derivative of 1/36*t**6 - d*t + 13/12*t**2 - 11/9*t**3 - 7/30*t**5 + 3/4*t**4 + 1. Factor x(s).
(s - 3)*(s - 1)**4/6
Let d = 38 + -38. Suppose d = -11*a + 7*a + 32. Find j, given that -306 - 9*j**3 + 298 + a*j**2 + 20*j - 11*j**3 = 0.
-1, 2/5, 1
Let q(d) be the first derivative of -5*d**4/4 + 15*d**3 + 30*d**2 - 100*d - 1027. What is o in q(o) = 0?
-2, 1, 10
Let p(g) be the first derivative of -4*g**3 - 2828*g**2 + 3776*g - 5343. Let p(u) = 0. What is u?
-472, 2/3
Let l(f) = 6*f**3 + 58*f**2 - 88*f - 470. Let z(r) = 2*r**3 + 30*r**2 - 44*r - 236. Let y(s) = 2*l(s) - 5*z(s). Suppose y(d) = 0. What is d?
-2, 4, 15
Let f(r) be the second derivative of -11/9*r**3 + 42*r + 1/36*r**4 + 121/6*r**2 + 2. Determine h, given that f(h) = 0.
11
Let x = -1 + 1. Let d(y) = -y**3 - 12*y**2 + 14*y + 15. Let n be d(-13). Factor x*f**n - 247 - 252 - 3*f**2 + 12*f + 490.
-3*(f - 3)*(f - 1)
Let j be 1 + 0 + (-32)/(-8) + -6. Let f(h) = -21*h**3 + h**2 - h - 2. Let l be f(j). Factor 12*v**2 - 9*v - 8*v**3 - l*v + 24*v - 1 + 2.
-(2*v - 1)**3
Let a(o) = o**2 - 36*o + 104. Let c(z) = -z**3 + 28*z**2 - 162*z + 43. Let h be c(20). Let n be a(h). Factor 0*l**4 + 3/7*l + 3/7*l**n - 6/7*l**3 + 0 + 0*l**2.
3*l*(l - 1)**2*(l + 1)**2/7
Let b(a) be the third derivative of 0 - 3/20*a**4 - 1/50*a**5 + 8*a**3 + 0*a - 14*a**2. Factor b(t).
-6*(t - 5)*(t + 8)/5
Let 2/7*o + 0 + 3/7*o**2 - 1/7*o**5 - 3/7*o**4 - 1/7*o**3 = 0. What is o?
-2, -1, 0, 1
Let p(r) be the first derivative of 544/9*r**2 - 148/9*r**3 - 16/9*r**4 + 30 - 2/45*r**5 - 578/9*r. Factor p(t).
-2*(t - 1)**2*(t + 17)**2/9
Let y be (-4)/((-30)/6*158/395). Suppose -4/11 + 3/11*f + 1/11*f**y = 0. Calculate f.
-4, 1
Let j(l) = l**2 - 13*l + 115. Let s be j(16). Suppose -143*o - 40 = -s*o. Let o*y**3 - 8/9*y**4 - 4/3*y**2 + 2/9*y + 0 = 0. Calculate y.
0, 1/4, 1
Let w be 0*(-4)/8*-1. Suppose w = -4*n + c + 11, 2*c + 4 - 2 = 3*n. What is i in -2*i**3 - 6*i**2 + 4 + 0*i**4 + 4*i**n - 5*i**4 + 2*i + 3*i**4 = 0?
-1, 1, 2
Let b(j) be the second derivative of j**6/60 - 33*j**5/40 - 35*j**4/8 - 107*j**3/12 - 9*j**2 - 179*j + 1. Find v, given that b(v) = 0.
-1, 36
Let g(d) be the second derivative of -d**6/2880 - d**5/480 - d**4/192 - d**3/3 - 16*d**2 - 71*d. Let i(o) be the second derivative of g(o). Solve i(b) = 0.
-1
Let z(x) be the first derivative of -15/11*x**2 - 3/22*x**4 + 32/33*x**3 - 85 - 36/11*x. Factor z(l).
-2*(l - 3)**2*(3*l + 2)/11
Let a(t) = 24133*t + 14. Let g be a(27). Solve 134784*k + g + 380*k**3 + 5062*k**2 + 5*k**4 + 2396*k + 5768*k**2 = 0.
-19
Let c(v) = -2*v**2 + 137*v - 621. Let p(u) = -14*u**2 + 966*u - 4346. Let q(r) = -44*c(r) + 6*p(r). Let q(g) = 0. What is g?
6, 52
Let m be 24*3*(-28)/18. Let g = m + 115. Find f such that 3*f**2 + 20*f - 20*f**g + 8 - 13 + 2*f**2 = 0.
-1, 1/4, 1
Let f(m) be the third derivative of -1/1200*m**6 + 1/48*m**4 - 1/20*m**3 + m - 30*m**2 - 1/600*m**5 + 0. Solve f(c) = 0.
-3, 1
Let i(o) be the third derivative of 1/120*o**5 - 1/480*o**6 + 0*o**3 + 0*o + 1/1344*o**8 - 1/420*o**7 - 7*o**2 + 0*o**4 + 0. Suppose i(z) = 0. What is z?
-1, 0, 1, 2
Suppose 3*m - 2*d = -2*m + 1169